{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6fa5d362-5b46-4387-8013-951463db2211",
   "metadata": {},
   "source": [
    "# Adjoint optimization of a wavelength division multiplexer\n",
    "\n",
    "In this notebook, we will use a multi-objective optimization to design a wavelength division multiplexer (WDM).\n",
    "\n",
    "In short, this device takes in broadband light and directs light of different wavelengths to different output ports.\n",
    "\n",
    "<img src=\"img/adjoint_9.png\" width=400 alt=\"Schematic of the waveguide division multiplexer\">\n",
    "\n",
    "This demo combines the basic setup of our 3rd tutorial of a [mode converter](https://www.flexcompute.com/tidy3d/examples/notebooks/AdjointPlugin3InverseDesign/) with the multi-frequency feature introduced in Tidy3D version 2.5.\n",
    "\n",
    "We will follow many of the parameters outlined in `Cheung, Alfred KC, et al. \"Inverse-designed CWDM demultiplexer operated in O-band.\" Optical Fiber Communication Conference. Optica Publishing Group, 2024`. Although, to reduce the flex credit usage and run time, our setup will use a smaller device, run using a 2D simulation, and use a lower resolution.\n",
    "\n",
    "If you are unfamiliar with inverse design, we also recommend our [intro to inverse design tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/) and our [primer on automatic differentiation with tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/AdjointPlugin1Intro/).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c76c454e-e2c8-40ab-a4ed-e41a5e3e0d65",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:06:28.648551Z",
     "start_time": "2026-03-16T13:06:26.676656Z"
    }
   },
   "outputs": [],
   "source": [
    "import autograd as ag\n",
    "import autograd.numpy as anp\n",
    "import matplotlib.pylab as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e12a92cd-ca91-4981-8168-da4bcd7bb156",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "First we set up our basic simulation. \n",
    "\n",
    "We have an input waveguide connected to a square design region, which has `n=4` output waveguides. \n",
    "\n",
    "The square design region is a custom medium with a pixelated permittivity grid that we wish to optimize such that input light of different wavelengths get directed to different output ports.\n",
    "\n",
    "As this is a SOI device, we typically define the design region and waveguides as Silicon sitting on an SiO2 substrate. For this demo, we make a 2D simulation, but it can be easily made 3D by changing the `Lz` parameter, adding dimension to the structures, and adding a substrate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3d77b41c-91ac-49af-bc3d-cca78e938e3c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:06:28.656363Z",
     "start_time": "2026-03-16T13:06:28.653358Z"
    }
   },
   "outputs": [],
   "source": [
    "# material information\n",
    "n_si = 3.49\n",
    "n_sio2 = 1.45  # not used in 2D\n",
    "n_air = 1\n",
    "\n",
    "# channel wavelengths\n",
    "wvls_design = np.array([1.270, 1.290, 1.310, 1.330])\n",
    "\n",
    "freqs_design = td.C_0 / wvls_design\n",
    "num_freqs_design = len(freqs_design)\n",
    "freq_max = np.max(freqs_design)\n",
    "freq_min = np.min(freqs_design)\n",
    "keys = [str(i) for i in range(num_freqs_design)]\n",
    "df_design = abs(np.mean(np.diff(freqs_design)))\n",
    "\n",
    "# forward source\n",
    "freq0 = np.mean(freqs_design)\n",
    "wvl0 = td.C_0 / freq0\n",
    "fwidth = freq_max - freq_min\n",
    "run_time = 200 / fwidth\n",
    "\n",
    "# we average the metrics over the channels with some frequency width\n",
    "channel_fwidth = df_design / 2.0\n",
    "channel_bounds = [(f - channel_fwidth / 2, f + channel_fwidth / 2) for f in freqs_design]\n",
    "num_freqs_channel = 5\n",
    "channel_freqs = []\n",
    "for fmin, fmax in channel_bounds:\n",
    "    sub_freqs = np.linspace(fmin, fmax, num_freqs_channel)\n",
    "    channel_freqs += sub_freqs.tolist()\n",
    "\n",
    "# size of design region\n",
    "lx = 4.5\n",
    "ly = 4.5\n",
    "ly_single = ly / num_freqs_design\n",
    "lz = td.inf\n",
    "\n",
    "# size of waveguides\n",
    "wg_width = 0.3\n",
    "wg_length = 1.5\n",
    "wg_spacing = 0.8\n",
    "\n",
    "# spacing between design region and PML in y\n",
    "buffer = 1.5\n",
    "\n",
    "# size of simulation\n",
    "Lx = lx + wg_length * 2\n",
    "Ly = ly + buffer * 2\n",
    "Lz = 0.0\n",
    "\n",
    "# fabrication constraints (feature size and projection strength)\n",
    "radius = 0.100\n",
    "beta0 = 2\n",
    "\n",
    "# resolution information\n",
    "min_steps_per_wvl = 18\n",
    "dl_design_region = 0.015"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8b4d96e-6af3-47ac-9bac-62ebbc05ce03",
   "metadata": {},
   "source": [
    "### Static Simulation\n",
    "\n",
    "First, we'll define the simulation without any design region using the \"static\" components that don't change over the optimization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "207a7411-7aec-428c-9d80-2fa730874277",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:06:28.794635Z",
     "start_time": "2026-03-16T13:06:28.699082Z"
    }
   },
   "outputs": [],
   "source": [
    "# define the waveguide ports\n",
    "wg_in = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(-Lx / 2, 0, 0),\n",
    "        size=(wg_length * 2, wg_width, lz),\n",
    "    ),\n",
    "    medium=td.Medium(permittivity=n_si**2),\n",
    ")\n",
    "\n",
    "centers_y = np.linspace(-ly / 2.0 + ly_single / 2.0, +ly / 2.0 - ly_single / 2.0, num_freqs_design)\n",
    "mode_size = (0, 0.9 * ly_single, td.inf)\n",
    "\n",
    "wgs_out = []\n",
    "for center_y in centers_y:\n",
    "    wg_out = td.Structure(\n",
    "        geometry=td.Box(\n",
    "            center=(+Lx / 2, center_y, 0),\n",
    "            size=(wg_length * 2, wg_width, lz),\n",
    "        ),\n",
    "        medium=td.Medium(permittivity=n_si**2),\n",
    "    )\n",
    "    wgs_out.append(wg_out)\n",
    "\n",
    "# measure the mode amplitudes at each of the output ports\n",
    "mnts_mode = []\n",
    "for key, center_y in zip(keys, centers_y):\n",
    "    mnt_mode = td.ModeMonitor(\n",
    "        center=(Lx / 2 - wg_length / 2, center_y, 0),\n",
    "        size=mode_size,\n",
    "        freqs=channel_freqs,\n",
    "        mode_spec=td.ModeSpec(),\n",
    "        name=f\"mode_{key}\",\n",
    "    )\n",
    "    mnts_mode.append(mnt_mode)\n",
    "\n",
    "# measures the flux at each of the output ports\n",
    "mnts_flux = []\n",
    "for key, center_y in zip(keys, centers_y):\n",
    "    mnt_flux = td.FluxMonitor(\n",
    "        center=(Lx / 2 - wg_length / 2, center_y, 0),\n",
    "        size=mode_size,\n",
    "        freqs=channel_freqs,\n",
    "        name=f\"flux_{key}\",\n",
    "    )\n",
    "    mnts_flux.append(mnt_flux)\n",
    "\n",
    "# and a field monitor that measures fields on the z=0 plane at the design freqs\n",
    "fld_mnt = td.FieldMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs_design,\n",
    "    name=\"field\",\n",
    ")\n",
    "\n",
    "# inject the fundamental mode into the input waveguide\n",
    "mode_src = td.ModeSource(\n",
    "    center=(-Lx / 2 + wg_length / 2, 0, 0),\n",
    "    size=mode_size,\n",
    "    source_time=td.GaussianPulse(\n",
    "        freq0=freq0,\n",
    "        fwidth=fwidth,\n",
    "    ),\n",
    "    direction=\"+\",\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "sim_static = td.Simulation(\n",
    "    size=(Lx, Ly, Lz),\n",
    "    grid_spec=td.GridSpec.auto(\n",
    "        min_steps_per_wvl=min_steps_per_wvl,\n",
    "        wavelength=np.min(wvls_design),\n",
    "    ),\n",
    "    structures=[wg_in] + wgs_out,\n",
    "    sources=[mode_src],\n",
    "    monitors=mnts_mode + mnts_flux + [fld_mnt],\n",
    "    boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=True if Lz else False),\n",
    "    run_time=run_time,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4400153f-b2b2-4ec7-97ea-34e82b5ddd1d",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:06:29.000589Z",
     "start_time": "2026-03-16T13:06:28.798849Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim_static.plot_eps(z=0.01)\n",
    "ax.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27386dd2-e686-4fd0-8210-20bac15dc422",
   "metadata": {},
   "source": [
    "### Solving modes\n",
    "\n",
    "Next, we want to ensure that we are injecting and measuring the right waveguide modes at each of the ports.\n",
    "\n",
    "We'll use `tidy3d`'s `ModeSolver` to analyze the modes of our input waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "439f9a65-ec0b-4fab-bdc1-d6831108153e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:06:29.122522Z",
     "start_time": "2026-03-16T13:06:29.004293Z"
    }
   },
   "outputs": [],
   "source": [
    "from tidy3d.plugins.mode import ModeSolver\n",
    "from tidy3d.plugins.mode.web import run as run_mode_solver\n",
    "\n",
    "# we'll ask for 4 modes just to inspect\n",
    "num_modes = 4\n",
    "\n",
    "# let's define how large the mode planes are and how far they are from the PML relative to the design region\n",
    "mode_size = (0, ly_single, td.inf)\n",
    "\n",
    "# make a plane corresponding to where we wish to measure the input mode\n",
    "plane_in = td.Box(\n",
    "    center=(-Lx / 2 + wg_length / 2.0, 0, 0),\n",
    "    size=mode_size,\n",
    ")\n",
    "\n",
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_static,\n",
    "    plane=plane_in,\n",
    "    freqs=freqs_design,\n",
    "    mode_spec=td.ModeSpec(num_modes=num_modes),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10bd2470-6bf4-4f46-9912-191ad57ca3ab",
   "metadata": {},
   "source": [
    "Next we run the mode solver on the servers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "682799a3-1e90-4b17-a0aa-c416a4171f9f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:11.980991Z",
     "start_time": "2026-03-16T13:06:29.132017Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:06:30 CET </span>Mode solver created with                                           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #808000; text-decoration-color: #808000\">task_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'fdve-4ed6c7c9-1a96-4641-8dbc-9c6cb1e0b0ca'</span>,               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #808000; text-decoration-color: #808000\">solver_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'mo-2c8da480-9927-4c0a-9153-1bf1a78a1c08'</span>.               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:06:30 CET\u001b[0m\u001b[2;36m \u001b[0mMode solver created with                                           \n",
       "\u001b[2;36m             \u001b[0m\u001b[33mtask_id\u001b[0m=\u001b[32m'fdve-4ed6c7c9-1a96-4641-8dbc-9c6cb1e0b0ca'\u001b[0m,               \n",
       "\u001b[2;36m             \u001b[0m\u001b[33msolver_id\u001b[0m=\u001b[32m'mo-2c8da480-9927-4c0a-9153-1bf1a78a1c08'\u001b[0m.               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dc5af2c079374a94986c63a33d10c853",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2f17ff5ee8be4c06ab899464d110b4d1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:06:34 CET </span>Mode solver status: queued                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:06:34 CET\u001b[0m\u001b[2;36m \u001b[0mMode solver status: queued                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:07:05 CET </span>Mode solver status: running                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:07:05 CET\u001b[0m\u001b[2;36m \u001b[0mMode solver status: running                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:07:10 CET </span>Mode solver status: success                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:07:10 CET\u001b[0m\u001b[2;36m \u001b[0mMode solver status: success                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "506d5eb2917d4ead8b9c1d34cec8de02",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_data = run_mode_solver(mode_solver, reduce_simulation=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0403fdb-7cc3-44c0-97ed-75183da44c93",
   "metadata": {},
   "source": [
    "And visualize the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b84807cb-0c7e-497a-88de-6ebc753f2636",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:13.832464Z",
     "start_time": "2026-03-16T13:07:11.988290Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective index of computed modes:  [[3.15138964 2.84079307 2.00642254 1.09893523]\n",
      " [3.14368787 2.81919688 1.9704335  1.09132187]\n",
      " [3.13596834 2.79719528 1.93431963 1.08470219]\n",
      " [3.1282325  2.77478564 1.89808873 1.07888052]]\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1200x1200 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(num_modes, 3, figsize=(12, 12), tight_layout=True)\n",
    "for mode_index in range(num_modes):\n",
    "    vmax = 1.1 * max(\n",
    "        abs(mode_data.field_components[n].sel(mode_index=mode_index)).max()\n",
    "        for n in (\"Ex\", \"Ey\", \"Ez\")\n",
    "    )\n",
    "    for field_name, ax in zip((\"Ex\", \"Ey\", \"Ez\"), axs[mode_index]):\n",
    "        for freq in freqs_design:\n",
    "            key = f\"{td.C_0 / freq * 1000:.0f} nm\"\n",
    "            field = mode_data.field_components[field_name].sel(mode_index=mode_index, f=freq)\n",
    "            field.real.plot(label=f\"Real ({key})\", ax=ax)\n",
    "            field.imag.plot(ls=\"--\", label=f\"Imag ({key})\", ax=ax)\n",
    "        ax.set_title(f\"index={mode_index}, {field_name}\")\n",
    "        ax.set_ylim(-vmax, vmax)\n",
    "        ax.legend()\n",
    "\n",
    "print(\"Effective index of computed modes: \", np.array(mode_data.n_eff))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43d92a79-c290-48c9-8354-55c998e5b870",
   "metadata": {},
   "source": [
    "We identify `mode_index=0` as the first order mode that is out of plane of the device. Let's choose to optimize our device with respect to this as the mode of interest for both the input and output.\n",
    "\n",
    "We'll update or static simulation with the new mode index and mode specification, in case these are different from the original ones."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8ebd9a87-8928-48a6-bbe1-56d774a49c89",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:14.048271Z",
     "start_time": "2026-03-16T13:07:13.849987Z"
    }
   },
   "outputs": [],
   "source": [
    "mode_index = 0\n",
    "mode_spec = td.ModeSpec(num_modes=mode_index + 1)\n",
    "\n",
    "sim_static = sim_static.updated_copy(mode_index=mode_index, path=\"sources/0\")\n",
    "sim_static = sim_static.updated_copy(mode_spec=mode_spec, path=\"sources/0\")\n",
    "for i in range(num_freqs_design):\n",
    "    sim_static = sim_static.updated_copy(mode_spec=mode_spec, path=f\"monitors/{i}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d120bf86-54c3-4af2-b3eb-33726288d008",
   "metadata": {},
   "source": [
    "### Define design region\n",
    "\n",
    "Next, we define the design region as a pixelated grid of permittivity values that get generated from our optimization parameters.\n",
    "\n",
    "We first define the overall geometry as a `td.Box` and also the number of pixels in x and y based on our design region resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "209f2e58-fd7d-42f7-bb6d-459f41511250",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:14.056605Z",
     "start_time": "2026-03-16T13:07:14.054319Z"
    }
   },
   "outputs": [],
   "source": [
    "nx = int(lx / dl_design_region)\n",
    "ny = int(ly / dl_design_region)\n",
    "\n",
    "design_region_geo = td.Box(size=(lx, ly, lz), center=(0, 0, 0))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b02b2fa-ce32-49ad-9844-1af1a4ff864d",
   "metadata": {},
   "source": [
    "Next we write a function to give us the pixelated array as a function of our parameters through our filtering and projection methods, which are used to make the resulting structures easier to fabricate. For more details, refer to our 4th lecture in the [inverse design 101 lecture series](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/), which focuses on fabrication constraints.\n",
    "\n",
    "We also wrap this function in another one that generates the entire `td.Structure` corresponding to the design region, for convenience later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "761964ee-79d7-486a-8bbb-03d2917ff844",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:14.816907Z",
     "start_time": "2026-03-16T13:07:14.103510Z"
    }
   },
   "outputs": [],
   "source": [
    "from tidy3d.plugins.autograd import make_filter_and_project, rescale\n",
    "\n",
    "filter_project = make_filter_and_project(radius, dl_design_region)\n",
    "\n",
    "\n",
    "def get_density(params: np.ndarray, beta: float) -> np.ndarray:\n",
    "    \"\"\"Get the density of material (0, 1) as a function of the parameters (0,1)\"\"\"\n",
    "    return filter_project(params, beta=beta)\n",
    "\n",
    "\n",
    "def make_eps(params: np.ndarray, beta: float) -> np.ndarray:\n",
    "    \"\"\"Construct density values and rescale them to relative permittivity values between air and silicon.\"\"\"\n",
    "    density = get_density(params, beta=beta)\n",
    "    return rescale(density, 1, n_si**2)\n",
    "\n",
    "\n",
    "def make_custom_medium(params: np.ndarray, beta: float) -> td.Structure:\n",
    "    \"\"\"Make td.Structure containing custom medium with the permittivity data as a function of parameters.\"\"\"\n",
    "    eps = make_eps(params, beta).reshape((nx, ny, 1))\n",
    "    xs = anp.linspace(-lx / 2, lx / 2, nx)\n",
    "    ys = anp.linspace(-ly / 2, ly / 2, ny)\n",
    "    zs = [0]\n",
    "    coords = dict(x=xs, y=ys, z=zs)\n",
    "\n",
    "    eps_arr = td.ScalarFieldDataArray(data=eps, coords=coords)\n",
    "\n",
    "    medium = td.CustomMedium(permittivity=eps_arr)\n",
    "\n",
    "    return td.Structure(geometry=design_region_geo, medium=medium)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8dcf2f1-9bf8-49e6-9e1e-6221992c7210",
   "metadata": {},
   "source": [
    "### Construct Simulation\n",
    "\n",
    "With all of these functions and variables defined, we can write a single function to return our \"static\" `td.Simulation` as a function of our design parameters. This function first constructs the design region, a mesh override structure to control the resolution in this region, and then creates a copy of the original `td.Simulation` with all of the basic parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1d67ccdc-758e-4648-aabc-4264b83086a1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:14.825240Z",
     "start_time": "2026-03-16T13:07:14.822394Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_sim(params, beta, include_extra_mnts: bool = True):\n",
    "    design_region = make_custom_medium(params, beta=beta)\n",
    "\n",
    "    design_override = td.MeshOverrideStructure(\n",
    "        geometry=design_region.geometry,\n",
    "        dl=[dl_design_region, dl_design_region, dl_design_region],\n",
    "    )\n",
    "    grid_spec = sim_static.grid_spec.updated_copy(\n",
    "        override_structures=list(sim_static.grid_spec.override_structures) + [design_override]\n",
    "    )\n",
    "\n",
    "    update_dict = dict(\n",
    "        structures=list(sim_static.structures) + [design_region],\n",
    "        grid_spec=grid_spec,\n",
    "    )\n",
    "\n",
    "    # if include_extra_mnts is False, update sim to only include mode monitors, to save data.\n",
    "    if not include_extra_mnts:\n",
    "        update_dict[\"monitors\"] = mnts_mode\n",
    "\n",
    "    return sim_static.updated_copy(**update_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aaab90f1-970e-4fde-89d8-f08ae61f530f",
   "metadata": {},
   "source": [
    "Let's test out our function. We'll make an initially random array of parameters between 0 and 1 and generate the static simulation to plot and inspect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "08846717-16bc-49ee-bcb3-dd5e1c30cd6c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:14.974592Z",
     "start_time": "2026-03-16T13:07:14.869639Z"
    }
   },
   "outputs": [],
   "source": [
    "np.random.seed(0)  # fix a random seed for reproducibility\n",
    "params0 = np.random.random((nx, ny))\n",
    "sim0 = get_sim(params0, beta=beta0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "65933269-50cd-4dea-b32d-25f39492c7dc",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:15.249226Z",
     "start_time": "2026-03-16T13:07:14.980317Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim0.plot_eps(z=0.01)\n",
    "ax.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36ddbde9-64c9-4771-ab9e-8bf2c224f860",
   "metadata": {},
   "source": [
    "## Defining Objective Function\n",
    "\n",
    "With our simulation fully defined as a function of our parameters, we are ready to define our objective function.\n",
    "\n",
    "In this case, it is quite simple, we simply measure the transmitted power in our `n=4` output waveguide modes for each of the `n=4` design frequencies.\n",
    "\n",
    "Our objective when looking at waveguide `i` will be to maximize power transmission at frequency `i`. To reduce cross talk between waveguide `i` and frequency `j != i`, we will subtract the average of the power transmissions for all of the other ports.\n",
    "\n",
    "Our overall metric will then be the (smooth) minimum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "56ed21ad-0882-46ca-bc99-f1e4163fcc72",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:15.263519Z",
     "start_time": "2026-03-16T13:07:15.258936Z"
    }
   },
   "outputs": [],
   "source": [
    "import xarray as xr\n",
    "\n",
    "\n",
    "def average_over_channel(spectrum: xr.DataArray, fmin: float, fmax: float) -> xr.DataArray:\n",
    "    \"\"\"Get average of the spectrum within the frequency range between fmin and fmax.\"\"\"\n",
    "    freqs = spectrum.f\n",
    "    freqs_in_channel = np.logical_and(freqs >= fmin, freqs <= fmax).values\n",
    "    num_freqs = np.sum(freqs_in_channel)\n",
    "    avg_power = spectrum.values @ freqs_in_channel / num_freqs\n",
    "    return avg_power\n",
    "\n",
    "\n",
    "def get_power(sim_data: td.SimulationData, mnt_index: int, freq_index: int) -> float:\n",
    "    \"\"\"Get the average power at waveguide `mnt_index` and frequency channel `freq_index`.\"\"\"\n",
    "    mnt_name = mnts_mode[mnt_index].name\n",
    "    mnt_data = sim_data[mnt_name]\n",
    "    fmin_channel, fmax_channel = channel_bounds[freq_index]\n",
    "    amp = mnt_data.amps.sel(direction=\"+\", mode_index=0)\n",
    "    power_spectrum = anp.abs(amp) ** 2\n",
    "    return average_over_channel(power_spectrum, fmin=fmin_channel, fmax=fmax_channel)\n",
    "\n",
    "\n",
    "def get_metric(sim_data: td.SimulationData, mnt_index: int, leak_weight: float = 1.0) -> float:\n",
    "    \"\"\"measure of how well this channel (`mnt_index`) performs. With an adjustable weight to reduce cross talk influence.\"\"\"\n",
    "\n",
    "    power_all = [\n",
    "        get_power(sim_data=sim_data, mnt_index=mnt_index, freq_index=j)\n",
    "        for j in range(num_freqs_design)\n",
    "    ]\n",
    "\n",
    "    power_transmitted = power_all[mnt_index]\n",
    "\n",
    "    # remove the extra term of power_self in power_all\n",
    "    power_leaked = sum(power_all) - power_transmitted\n",
    "    avg_power_leaked = power_leaked / (num_freqs_design - 1)\n",
    "\n",
    "    return power_transmitted - leak_weight * avg_power_leaked"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55bbda26-70af-4e53-a77e-d92dac0221f6",
   "metadata": {},
   "source": [
    "Next we add a penalty to produce structures that are invariant under erosion and dilation, which is a useful approach to implementing minimum length scale features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7f7da424-d19e-4e0c-b95d-2ac7c877e246",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:15.312025Z",
     "start_time": "2026-03-16T13:07:15.308613Z"
    }
   },
   "outputs": [],
   "source": [
    "from tidy3d.plugins.autograd import make_erosion_dilation_penalty\n",
    "\n",
    "beta_penalty = 10\n",
    "\n",
    "penalty = make_erosion_dilation_penalty(radius, dl_design_region, beta=beta_penalty)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "218ac455-3626-4399-a11d-1ba288fe63bf",
   "metadata": {},
   "source": [
    "### Total Objective function\n",
    "\n",
    "Then we write an `objective` function that constructs our simulation, runs it, measures our metric, and subtracts our penalty."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3bba8bcc-4d2e-4268-a338-aab37513f5df",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:15.359487Z",
     "start_time": "2026-03-16T13:07:15.356992Z"
    }
   },
   "outputs": [],
   "source": [
    "from tidy3d.plugins.autograd import smooth_min\n",
    "\n",
    "# useful for debugging, if you want to turn off the metric or the penalty\n",
    "use_penalty = True\n",
    "use_metric = True\n",
    "\n",
    "\n",
    "def objective(params, beta: float, penalty_weight: float = 1.0, leak_weight: float = 0.0) -> float:\n",
    "    metric = 0.0\n",
    "    penalty_value = 0.0\n",
    "\n",
    "    if use_metric:\n",
    "        sim = get_sim(params, beta=beta, include_extra_mnts=False)\n",
    "        sim_data = web.run(sim, task_name=\"autograd9wdm\", verbose=False)\n",
    "\n",
    "        # Calculate the individual metric for each channel\n",
    "        all_metrics = []\n",
    "        for mnt_index in range(num_freqs_design):\n",
    "            metric_i = get_metric(sim_data=sim_data, mnt_index=mnt_index, leak_weight=leak_weight)\n",
    "            all_metrics.append(metric_i)\n",
    "\n",
    "        # The objective is the smooth minimum of all channel metrics\n",
    "        metric = smooth_min(anp.array(all_metrics))\n",
    "\n",
    "    if use_penalty:\n",
    "        penalty_value = penalty(params)\n",
    "\n",
    "    return metric - penalty_weight * penalty_value"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94fa67f3-31e2-444c-b2d2-9aea353eef10",
   "metadata": {},
   "source": [
    "### Differentiating the objective\n",
    "\n",
    "Finally, we can simply use `autograd` (`ag`) to transform this objective function into a function that returns our objective function value and our gradient, which we will feed to the optimizer.th"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3d210aba-1184-4191-a405-08c12531991c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:07:15.429680Z",
     "start_time": "2026-03-16T13:07:15.427219Z"
    }
   },
   "outputs": [],
   "source": [
    "grad_fn = ag.value_and_grad(objective)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afabe317-16c2-4d01-a5c0-6678eb470735",
   "metadata": {},
   "source": [
    "Let's try out our gradient function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c6602755-bcb7-4ef2-8532-c3690788e8ca",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:09:53.454974Z",
     "start_time": "2026-03-16T13:07:15.483367Z"
    }
   },
   "outputs": [],
   "source": [
    "J, grad = grad_fn(params0, beta=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "04e85fa2-dfe9-4c07-bb67-447d1721dcd9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T13:09:53.473Z",
     "start_time": "2026-03-16T13:09:53.464001Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-2.3312611978128945\n",
      "(300, 300)\n",
      "0.034473321359980824\n"
     ]
    }
   ],
   "source": [
    "print(J)\n",
    "print(grad.shape)\n",
    "print(np.linalg.norm(grad))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2351757c-e19c-4715-8bf5-71a775f47602",
   "metadata": {},
   "source": [
    "## Run Optimization\n",
    "\n",
    "Finally, we are ready to optimize our device. We will use Tidy3D's built-in Adam optimizer in a simple explicit loop, as we've done in the previous inverse design tutorials.\n",
    "\n",
    "We record a history of objective function values, and parameters, for visualization later.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "4a24ecd3-f2d1-43b0-88cd-8e0a41cc515a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:36:48.031935Z",
     "start_time": "2026-03-16T13:09:53.519048Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAFSBJREFUeJztXduy5DgKdG/sf8/8+dmHDe9oaRIyAbnK0cqIiamyJUAIc5NP9a+fn5+f6+DgZfjXpwU4OKjgGO7BK3EM9+CVOIZ78Eocwz14JY7hHrwSx3APXoljuAevxDHcg1fi3+zAv//++/r169f/vt8Hbus1e937vM75+fn5jaadF/FC8MZ7/BFPOzaSJ5LNHkoi+T36is4s0D4xsio6i9bizUNYef/111/p+OsSPG4kgF0gK6wdd3+/aUSn0es99NkD4smM9Xitsiqn55HOIqNA95ADYfg/rbP1c/WNA9rjWqbrNcXI1jneGEvLM5R73Ho/ko1ZB3Mvky/iacdGOkMy2zVHcjOOZkJn2d57sqDxihG3c1w2fB9cvz109vqN895TDsnj3vC8TpY3ZflSlINFuRmbr6E5UcRAObilE3lZxDvykFneGtFBska0VjqKzhjZGZ2pNcx1CYab5URZKEP0sqKB5cGELDtPkdeb731WI5D3UCsFDUsXyarulUfvpoMcS+YcKhhth3VDnDL/iRSlw4Ndi+eh3giUBqFrHpS1l1KFiBnzVGXFzQ3vKc3SiezaSlf10Ayy4mzCm07NVz2g0qlYr7GtMwVffQChVN0TdL1xFV6Z3JXU5Js9MeMEpuV/1HC/WfnXtV++Tt/ynj8x5hOYjjSPGu63t87Unu8TUFtl367jCIrsX50qIHQ9l4JJQ2A7Brvmfwo79mrEcN+ozIN345Ue97r8hjzTPL/HVbzXLo+368Fn3n/YMTeiNQW6HWYPCmxbSj3fRmOzUy1PDnsaoxwGRJW+ehpmwYRIVn/o9Gm9Fq0bndSxOsvefUAHDcxJYyWVaPdxEbJ+rEV06hKNVT2DesIVyT3tSdQ+76of5RRv0psqNCYLy22Gi5S6fmc9YjRfPWpWEa3Du6YawrqWyPNVokjEs3o8781hosb0Q156VwFdZ8N0pjRWqTZEKWA3rKrwyonbdWkbXG36ZzqL9rqbFrGnphlKHpcx4umjQ3RP8YbTqPDs3J8KyR2dVfXcMVIPr+0qvBEdD37w/2j/6Y6X6GftJnvP+87MY+SI5MloMekOkhEVmxk83iu9LKdmdB99ZnQW7Z93PaOTyexhNMdlXwjJwgbDS5FDpcesoytjNqaadim6n9JZRpOlo+CkCgevxMcMt5PrqWGlg0k+XbmfXPckdsi9rY+boRMqdncLdvHq0npy3ZPYIfdJFQ5eibF3Fa4rb6Jnp0Jobnb/HmMr70oznzlE8c7mozWtsqNzenXdXncB7UlVZ9VTL0/uqs4Q2gcQ3ca/VxV7x7z2Pprrfbf0KidzSG62k7LyRvSq60ayoe/MWM+AVyBHhrCOUXXmgU4VpvOUJ/O9zqnNN637rbn9DoymChbRE4ka4ZlnXBvdKAwyYc8LXRnUsJp5KkZGj380JqLJpCWszhR5PLmysRk+Xpwho1FOmap8I/73PZZHZWxVfvZBm0amsyifRvSQA8sw2g5TBb/nrHMjj4TmrmPZ/I/Nk+09tbCM5tu50fyseMuA6pLqQ8BGK7Y4VDHqcZXiIQqDKr9JqMaD7qlRhCk0vzHvzIyPTWnQGISR1xqt8GyVuf4f0cpgx2a8vfE33wqiVKfivdmHQ5U7ynE7Xtf7nI29Ln+tj6cKmRKnrt/3qm0hdY4X2lGoVzc+a7NliDx0RldpjykyIXpq+5LBx4qzbwx7346js39Q6uOuhYRSnHjzves7cteIN8sTzavKrM6zoVkJz9XqneH1VDdlRdnj7nz6K2G3imoXpIKo7fYE/yrPLnbYinQAwVyvNtTv+94Tiby6bYx7fKOCxOPhzWELz6xKZr2W12ZCxex6za5BaUVVdGbnKYjshIGUKqz/qfCKg2pLTDWIJ7zLpFeJDIQtnuy6d+msEy06Ohv/YWd2TLQRDK0qX2VO1mCvbETXwJluRKXbws6tIHqAqp2Zjx/5VvFkjnbwffjISzYot0VjojDH5sNIXsubyfFQ7p7luN4YC9T39PJsRm5mXVWdoTFZTcLKFaHkcadylagImpBL4d2B1x6shmvGsJlxLL5BZxVZpBzXe2JQ5RpVtOg+moOeSs8jRjQQn6m8zvM0nneONk3VWTYnQ0dnE4VvVkcgSB6X7SisRq0IhNpmlQLOo6G0eVg+7H2UNk0A6Vn1pqrOJvbl0VTBMmaueWOQsneHwSnDqXqgaZ11aFooOqv0bqci3XhXQXl6mKQ/4pHRRLSU3Iq5133YOjpTeWQ0qzqrROOOzko5bpSfIiUw+SzKX7OuBJJzYvy6BuRVEf3Mu0ReuqKzTAZlXFdnyEC9QrxiwJLhohZGVKDZ8fd329LJihJVRitb5tWiUJi1v7L1I37RmlmdseuKxlZ1htbCOBkvum7JcdlQo8B7+lRkRl3Jw3bJokQNhD9NZwjtHHe6QmZpZ15wgiebs1lvkxVQKG3o6LLTvZkshlWdVVtqHz2AiOhm1W23pbWjs6DMidbXlY2lMamzLA2JWmuV9ZY9rpIrImSVKzuvC5Vep60z0W9lwBTPHaipI9JZdS9bJ2dM1WvnoicvKnC8QqHbTkFVcOQNM1pKEcOsw1bnlodXVEUy7tSZXQ/blajo+7qarzWiVof3PStM0FwU9iIjZ0KRUjFnc22FrLR6qu0qZe4KLyev6ozpZLByqGtp/xsQKrwnjA07WXETPShrO2m9Zsd699kQm23GZPGFHmYrq113JG9FZ7djySJCtK7HirMMXkK+3ou8q/d/NB95YyX/QsZ202aUijZr3dSMlh1raWURidVZxB/J5K0Led2sgPO8dqUgLf3pTgbWO6HPKP+xRuvxRPLZTWAVxRjGBJiwiXR2z0FGlvFUdFFBZswVbHtXIYO3UV4oigoXL4Sj3Hf9bNMARkbvmmc83ZyZlUeVO5Ih05mVLcqRM50x+8Wg/K5CNsb7jLwnQ0fJlxSDYxWteKXOwxDN2UGbSSOs/jtFVcRDgVScKXnfdeEc6aYXjVXD8y2XN9fmUda4vTycSStQvtwJjZlHRmNRKuddsw8CW4d4OlNCfeTZt+W4HrNJeOGGyfXu72hON6QqnqCafij30VgmRbL3JnWm1EAsrwglw63kcer4yHNN5UmId4Vut4Cb0JnFjtzS8madDaKzvThjC5E1/Ngx3hzr1ezmZ/kokpPNi63CleLSa++wD5sns5qSWL63fiM6WbFb6Roxcq8e2aZsTFFrIXtcdoPsOCWXUo0VycPOrXofVuGqUWc5cvYQPK0z1dtOFHSy4VpDjHKbVYmeJ12N1Bor8s72u/V4q+dgizoPqJLPIkIkd6QzL8f3eEY6Uzwf4lPVWXRtjQZITjVlaP8iOVJkJFC0+dG8SJ6KQlj+aJxiQDZ1QsaYzUe8GcOxa1J0htZ+y8w8OJ5OM74I4681duigTZjg5dFQwvwUz92orrNDf2KsCvlnRm1hgHIqlKeivDa6z+aGXl59f2e9gfV+ET8EpuuCcnvkWVGHwEtD1n1Zr0VGnRWZiL+ybnQf6TuC3FXImN+fJxfXfXIZQ5oGky96OmMr+wxv1RmL8g87e0WRHZt5DhZswcBUt55HU/PjqLhhZIh0ls1FtBh4XrWjs4gHK19EK8LoP9Bn4W0wK2gWItcxHo9sbnY9u5fBM3qVnlLhq+tjUhJEI9NZ5YFXMfrbYWw7JZp/I2orWTDh1coWVePZXIYGa6RdnVXpV1KSqS4QGr8lx2WACoAIyGt69+21lZ/K1xaYFXk9Wiq6OmPvew/tpM5YT2t1VY1qkuEySmY6AJmxZjyrc5iKOaNXzT+zHDL6bq9FaYFdu3etAkZnnYJcla+dKtjwgbxmxbMy97wxK7/1/1VPE4VbRSb7GdUAdjzi5e1FtG5LK/OQGX8F0ylm+yeYrCeKFBXRXENNZSHs0854N+ZeB5HOMs+eFaTevUyO7DobEaJ96xq+xchf+WZFFZqDUoCbBmtU6LMHtUJW+FZzZS+8ozlVY4v4v0VnK0Z+Oyx68pk5lTF2o6tpgIosv4yweqUdOmPkXO9P6ixaf0dnCHQf1wtlkddcx9jr7FNm6TNeRdmMlf4tKyObGsbt2j2drXJ7645CsPcwZHJXUgsk/0pP3S+F94qWx82S/BVr/ooUWA0b3pPLGqCS4yrFTMRTnVPRGRP+d+sscgTd+kE+OVMr1PWeVzEjr+x5wHUDveueoWWKzmRnx1qP6RkXMhS2Y5BFrZUe0scKRWdWVhRdLLwI4tmBiq/6lyUrnmuSZpXHJHZ1MnbLoBZsXbRfsvHu2TH2KUU5HsqXkVfIxjNtHW8O8vJoXRaZ3N7czOt6uWPmhdE9RMuTw9tDZt3eGNZOGIy9q9ANx0q+VX2ClbYOM0b1TJWckqEXpQ2It8pDoRM9hFMRRe4qsJ/R3GhcNm+9Np27enOYHFnlMakLdD8zksn1MLAP2ETB9lU57jfiG3LOg9/R/tfT7+8WqHOAxkfw5tr8NMvnsjzKWxuaa8cyfd1VHjSHWUdFbu/+hM4QPFpRL3t7jushS9QZrCGE9XBRgaHyrSIy2giRzqZSh4jPem9KZ4rcE12Gj6QKKC+2nYJK8aN4dkWBTJU8kVYw3lttGzJ91ox/dp996KZ0Vv7HS1bGqtdV2jH3NdSiilIGVp4VkUdhw/saHtkwyLbY1s8MbVTgTutMjbCoLchi9E93vLFK6Ef93ai1gzaUaREhOZQ5rNE8Ua2vvD6pM3W8Yic3PpLjVnNZREuBqiQ1nej0S9GDel26zib7zyzvidyVxUd+Sr+zwZaXUtCsvKsecLJ48sYi3Uzp7KY1pTOGzg6djRtup3Vir2dPelbIRfOjMJvJxkBtkSnI5OoYiqez+5qNCPZaJeSvUPTQ/l2FqFBaxyCoPeCoGFJoo35qVFAhI/e8EVvIejrLPGKlyIx0qNJWxyoPMYv2ke8KZAwRLTufGbtucCcHZvgpeaXSGfDmMTzZhyqTNQLbJWDTBKbromL8p/S7bQ5mbqffq+SK1ZCrVuiKPKv8HY/V9ej3OC9iRfwi2bfnuFkYUhUatWSUTUX5ozXyqnfyNgkVLsi7rnKwfKuIZL9l6OaliDYzprrX1zX422HVEJvNZcLm1NwMlZAe3VPmo/ohAtJFV+5oXEfnyp5s/dG7Xeh6iE/x6tJ6ct2T2CH3ea3x4JVov9bo5W1sgm6vr7zQ/Yi211ZiEa3N+752UFCby8IbG8kardvTWbYnaB1IDkaP0TyPF9KZ6pVH/wJCEaKTZzGHB+t3WzyxlW2kXJunVtpmkezefUVu9n6kM1a2aIy3B6rOPLw2VZgq/ib57Kb31tx+B0ZTBQvk8dZ5nlezocTzltFhBxP2vNDF6IClb+VeaaAUAKUo3tjotI1NFVZUdFaV2dKv4OMeFxlNtTeo8PX4W0V3mvHZ2Kr8nROnDjyd2QMRZU1WBx/p416XLvg9Z50bGRKau45le4VsnmzvVQpHNN/OjeYzDfyMN+JbeQjYaBXZRMVeboz/lP4tUISfn/oJWXdOh6ZyT40iTKH5jXlnZnyRTXRSh/Y/iXp/ty4/E2INOxGtDHZsxtsbf/OtIEp1Kt6bfThUuaMct+N1vc/Z2Ovy1/p4qpApcer6fU/x7Aptex8VjmisgmpbDI2rtsMY/t1OiNq+ZPCx4uwbw9634+jsH5T+DQhbSa7XGaBCpFttV3mzPNG8qszqPLXjgUK5KmulcIzoTOxv2ePufPorYbfLrxqiVT5dTOl9p3Ow2GErY8VZZ75KJ8o1q7yZ8d11T8xTCikk+9R+qfQmDfjjBxAHGk6e+1+80nCfPDl6MqRm2J3/78IOmV9puMfrvAs79uuVhvtWVDzPeUh9vNZwlVMX1EaabgtVwcheOeHrtsCqcyNaUxg9ObuuZzwEUgSb+0ZHq7vz54lTqLd64e6LQitGfpEcjUPX1jeLPGRvUXmfkZxIRvtZfSmGGRO9w8DIFuk448HOt3QYudY5mTF6sqL3WhTPvOXXGtkNR+fiU6EF0VfP6hE6kcbKoeiMPTCpyKf02Kv7dNPqRI5tv9ZY8VbsCzRo45AxdBrotnHvfe9sxDo/896TD7XHf5XBi5p2XkSHud5Zy+gfS66Lzp726Mm+i6DJ483KqVeWU07J6IVLVr7OfXael+at11nPnqWbirzjfwHBCDHpAat0JqA8kCwdduNVudj7lbkVmbp789p22Bsx5Z0Pil2FaIyHLF+y45g8K/NMCCjs2fnMWrOuAbtuNIbJfb3wm3VK1EKLLSKVvDiqbxiUctzOGGacUtnuGMeE7uz6VEjN5nmyVlKBad1W5FBon1Th4JU4hnvwShzDPXglXmu4f2p1/cZ173g56bWGu7tHe+ONhvJt2LFXrzXcp/DUA8Li2+RhMS33Mdwvw/HwHEYM18th2A3wXvK2/3m8pl507tJCb8ex11nd3dcq8nX2h6GNvnv8p/au9K7C5AswtoFuaU97IHuq1F2Hd1oUnQLtPnxZ5Ziih2h537NTvo4cK2iPi45bkcfMaEVPazYfKZD1aAwPZhy6V928Kc+vvGGGaCk6Y4/i71cc1zcAq2ve9u+cVedbj6ucq08cWyrePns1U5Wl+v5FNncC0692PnbkO6mYzmt1KxjjuJ/wp5C9q8AYNfLK7FqYl3OehvoSTYaxrkKUpEceMisaKpuc3ZtqiE9tRPQW1QS9ibmRzhR+kW0odNr/CLWXt6Cx67W1ELO5LZsro3xpzfEYhXvK8/JEZuMi2TOazFxlc23uH/Fi82LUHUDXbprWZpSaxkP7R+/WHMfrCjAVNgqrSp5o5bhli2T3rimvJVY8Y9TVqFTlDCL9Kjrzxt/XI8OP7m3vKjCoKNarSL/pOHd3nvhNeSiDSF6vNbgL7b+A8MKAN0bhUWlVVTsF1aoY0WNg1+hFrYocyoMf7ac3FtHwviMvPmUn1zX0FxDqxqMWEKP4dWMrzfxpb15NH1R9Zgbd2YPq2J08M5x3FRI82Uo74HEMN8F0njZ1UPOn49WG+7bC5k/HVx5APAnUiqmgO1edv/ZPu12YKqYOYFjsiBJSV8ETxrtuiyevgq020hn5vPFWFlTV288eD3YtSnXvNeij9wPQuhR5OjqLEMmR9YlZtD1upenPHgxU5GCuI4U+5YUinaHOiqozRp9dnSmY9rq/fk62f/BCvDLHPTg4hnvwShzDPXgljuEevBLHcA9eiWO4B6/EMdyDV+IY7sErcQz34JX4D/NyIwcsTjRaAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 1\n",
      "\tJ = -2.3286e+00\n",
      "\tbeta = 1.00\n",
      "\tgrad_norm = 3.3650e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 2\n",
      "\tJ = -2.3281e+00\n",
      "\tbeta = 2.00\n",
      "\tgrad_norm = 4.0105e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 3\n",
      "\tJ = -2.3276e+00\n",
      "\tbeta = 3.00\n",
      "\tgrad_norm = 6.0303e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 4\n",
      "\tJ = -2.2520e+00\n",
      "\tbeta = 4.00\n",
      "\tgrad_norm = 8.8373e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 5\n",
      "\tJ = -2.2028e+00\n",
      "\tbeta = 5.00\n",
      "\tgrad_norm = 9.9900e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 6\n",
      "\tJ = -2.1551e+00\n",
      "\tbeta = 6.00\n",
      "\tgrad_norm = 6.5487e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAgplJREFUeJztvdlznOl1Hv70BvSC3nfsxL4QJIc7R2OONFosW7IU2XHiqlSqkkrlH8hlLnOfi1SucpWL3LjKZce2bMmLZqTZNENyuIIAiH1tNHpv9L737wJ5Dt/+2CBBSpP8VMW3ijUcsNH99fed97znPOc5z9G12+023q6363ds6f9fX8Db9Xa9yXpruG/X7+R6a7hv1+/kemu4b9fv5HpruG/X7+R6a7hv1+/kemu4b9fv5HpruG/X7+R6a7hv1+/kMp71hdevX0e9XketVkNPTw9mZ2fxZ3/2Z/i93/s9OBwO6PV66HQ6AEC73Ua73Uar1UKtVkMqlUIkEkGj0UB/fz9CoRB6e3s7fue0pS3snfX12t9rt9vQ6XTy+93eh9ddrVaRyWSQz+dhNBphsVhgMpkAAM1mE/V6HeVyGclkEhsbG1haWsLm5ib29vYQiUSQTqdRrVY7rqG3txc3b97Ef/kv/wXXr19Hb29vx/1qNpvI5/PY3t7G6uoqMpkMent7YbfbUavVcPfuXfz85z/H3t4earWavK9er4fZbEYoFMLAwAAAIBKJIB6Po1wuo9VqvfR+8V7odDr09PTA4XBgbGwMFy9exMjICBqNBlZXV/HVV19hf3//zO/5ss/q6emBx+NBMBiEXq+Xe12v15HNZs/0Pmc2XD64VqsFo9EIk8kEg8HwyovkjXW5XGi1WrBarWcy2N90qUah/v9Zf9dkMsFiscBoNMom42Zst9uo1+solUo4Pj5GLpdDpVIBAPT09MBkMqFer6PZbL7w3i+rsNOAK5UKSqUSms0mTCYTarUaqtUqms1m199vt9uo1WooFouy8dTXdtv83MjqarVaqNfryOfzSCQSsFqtACDX8ttiB/B6c7kc2u028vk8KpVK1/t12jqz4Xq9XrmBvb298Pl86Ovrg17fPdrgTTEYDLBarTAYDGi32zCbzTAajW9kuG/6O697w7nZjEYjDAaDbNBms4lGo4Fms4lSqYRkMolIJIJYLIZSqSSez2QyIZFIoFgsotFoQKfTdbzPacbXaDRQKBSQTCYRj8fR09ODWq2GZrOJ4+Nj1Gq1U3+XpwD//qoN0m21Wi1Uq1Ukk0no9Xrkcjn09PQglUqhVCq98j6qz+dVr6V3bTQaL92Up60zG+6lS5dQr9dRr9dhsVgwPT2NYDAIo/H5W3T7YL1ej56eHnmdwWAQYz/NEH/bvJ/TwoJu/04j6+3tRU9Pjxyj9FAGgwGtVksMlwZqMpnQ39+PcDiMdruNnZ0dLC8v4+joCLVaDVarVUIqhiTqtTSbTRQKBezv72NjYwOxWEyOVJ1Oh6OjI1QqlVPvsclkgs1mg16vF4/NTXba4nfiezK0Oz4+RqVSQTKZlNOjWCy+1Lh4n/h+3V7H+0dbqFarsjFfN/w4s+F+97vflTfv7e2F2+2G1+sVT/qyL6R6G/6s2zrNm5zV074sHu4W8/I1avzbbre7hjJ8vclkkhvPsMnhcMDj8eDSpUtYWFiAx+NBqVTCysoKvvjiCzx79gztdhtjY2MwmUxiAPwMboT19XXcuXMHT548wfHxMYxGI+x2+6mGq4ZiAwMDuHjxIux2O3Z2drC4uIhoNIpyufxSg9MaL42IoRCdTLPZfOkm4LV0u9f8d5PJhL6+PthsNjQaDeRyObRarTeKmc9suOfPn++4QBojv3Sz2exIfLReTPsltEvrgV43Nj2rl+62ybTXetpmoWezWCxwuVzo7+9HrVZDvV7H0NAQLly4gKGhIVgsFuh0OkxNTeHWrVtYX19HJBKRmLlaraKnp0c2falUwvLyMn72s5/h008/FS/Nz9PpdCiXyy8kfEx0QqEQ3nvvPXzwwQfwer04OjrCL3/5S3z00UfY2dl5beNVDemsxz/totv95eYaHh7GwsICHA4Htra2sLS0JB73ddeZDddut8sF8kswWVGPJK1Rv8yA+T7q3xnrtVotea+XJXOnoQenvZaeo91ud1ynurp5Wz4Yo9EIq9WKQCAAnU6HYDAIg8EAn88Hv98Pm80mMTyNPBAIIJ1OI5PJoNVqIZ1Oo16vw2QyidH+7//9v/HLX/4S0WgUtVoNrVar4/61Wq0XjE+v16Ovrw9zc3P41re+hXfeeQc2mw3nzp2D2+1Gq9XCP/zDP+Dg4ECSytPWy4z6VYvPSafTveA99Xo9rFYrLl68iD/5kz/B1atXAQC//vWvcXx8jEKh8PWGCloEQc2wtVmw2WxGb28vTCbTS49d7c+azaZkm5VKBWazGQ6HA2az+aWe8LT3VP+NG6JUKqFQKECn08Fut0vm/Kr35N/1er1AWb29vQgEAvIzog9cOp1ODJ0b8PDwEBsbG5JM7e7u4te//jUePHiAZDL5QgKmekLtz41GI7xeLy5duoTp6Wm43W4YjUaYzWbMzMzgm9/8JnZ2dpDJZDogtN/W4mY2mUwwmUxy7PMZ6fV62Gw2XLt2Df/hP/wH3L59G06nU65lZWUFR0dHSKVSaDQaX09ypj0y+P/NZhPlchnpdBrFYlFiPrfbDZvNhp6enheOIr4H/8tNUC6XEYlEsLy8jHg8jnA4jAsXLqC/v78D99S+h+pNtDitGrsVCgXs7u5ib28PVqsVk5OTHUe29nf4ezxN6FVoqMR41UXPoW5YJqhmsxmVSgWLi4tYX19HNBqVP9lsVoxWe5+6Yc9MIMPhMGZnZ+H1eiWs0Ov1sNvtmJmZwcWLF/Hs2TPk8/lXet3XWWpC6HQ60dPTI/BgtVoVx3D9+nX8+3//73H79m24XC75vaGhIVy6dAnr6+uC0nwtcJh2qYbXaDRQLBaRSCTQbDbhcrkkyVGPYjXjVKElGv/+/j4+/fRTfP7550ilUhgaGkKtVsP7778Pr9cLo9H4wiZQj396Ia0BtlotVCoV7Ozs4OOPP8ba2hoCgQAsFgu8Xq+gB9rvVy6XEY/HkUqlYLPZEAwG0dfX1xG+0BiY0DSbTTFsGhL/GAwGNJtNHB4eYnl5GbFYDMViUTBgvV4v30PdiHq9Xv7IgzMa4XK5MDExgdHRUVgslo5/N5lM8Pv9OH/+PD755BMcHR11eDU1BDkt5teGhVyEOPv7+zE9PY3h4WEYDAZEo1Hs7u4in8+jr68PV65cwY9//GNcvXoVDodDTm2GODMzM7h8+TIMBgPS6fRrnQpvbLjqlyTEodPpUK1W5cLtdjvMZnNHEkecsVQqIZfLIZ/Po1gsIh6P48GDB/j000+xsbEhcEwwGMTMzIxASUwAeEMZXtTrdRiNxhceMA0qlUrh0aNH+PTTT3F4eIiBgQHMzMxgZmYGVqv1BcOlZ/ybv/kb7OzsYGxsDD/84Q9x/vx5Sb5oVKymZbNZZLNZMRq73d4BFxoMBvHw9C4WiwU2m028TrlcRr1elyPXaDSir68PbrcbVqtVwHuDwYBz587h1q1bCIfD8jkqMmKz2TA+Po6JiQmsr6/L+zJW57NQY2f1efI9CYPyffv6+jA/P49vfetbuHz5Mvx+P1qtFlKplCSWgUAAc3NzGBkZEZhODfd6enowODiIq1evwmazIZlMolqtntnuXttwu2WMvb29cLlcaDabcqTrdDoJunl88mfVahXpdBq7u7tSIo1EInj69KnsWB7t8XhcdiPDDi6+Vz6fR61Wg8ViEW+oVroqlQqOjo7w7Nkz7O/vI5vNwmw2I5vNvgDW83disRj+8i//En/913+NXC6H9fV1hMNhjIyMwGw2d9yDVquFQqGAra0tbGxswGKx4MKFCy+UtQ0GA5xOJ/r7+9Hf3w+r1Qqn04nBwUH09fWhWCzi6OgIsVgMhUIBJpMJgUAAU1NTmJychNvtRqPRkOvu7+/HxYsX4XQ6X4itgROvGwqFcOnSJSwvL8vpaLFYYLFY0Gg0kM/nBXXgs7Tb7XC73XA4HGi320ilUkilUqhWq7BYLJifn8e/+Bf/Ar/3e7+HQCAAk8kk712v1wGcbEir1Yqenp6Oe0Db4IkxPj6Onp4eHB8fo9FonNkOf2OPS6jD7XYLvsuMmbta/UMUolKp4Pj4WED8VColnqS3txcA4HQ64XK5YDQaXwj8tSFKqVSS5IQhCl9TLpeRzWZxfHwshqr+0a5Go4Hd3V3cv38f8XhcPDZxUa2hV6tVHBwc4Ne//jWWl5fh8XjgcDgQCATEw/JekQtADHN8fByzs7NSaCiVSshmsyiXyzCZTHC73VKl5H2o1WpoNBro6emB1WrtcBbq4ka5evUqotEoHj9+jGq1KlhqqVTC4eEh0uk0Go0GrFYrwuEwxsfHce7cOfh8PjSbTWxvb2NlZQXJZBIejwff/OY3cfv2bQwPD3ckpOr9pLFqNxQ9rsFggMVigdvtFnjw/5rh8gK4gywWixwrzWZTjEf1uDxuGF/WajWYzWbY7XbY7XZ4PB5kMhkYDAYMDQ3hnXfegcfjgV6v74CIGCJks1lsb28jmUzK+wWDQTnO6QV4xPFYZkzYraZPwgvLnDxa+X3U1Ww2kU6ncefOHfzqV79CJBKBz+fD8PAwZmZmpCzOB2YymeDz+TA7Owu73Y7x8XGEw2GYzeYXcFA1vtUmx1oDOe35mM1mjI+P4wc/+AFmZ2dRLBal+pdKpbCzs4NYLIZWqyXH+/nz5zEwMIC+vj60Wi0kEgnMzMxgc3MTvb29mJmZgdvtFuekbhqtQ1Cdjbp4T3t6egCcVNHK5fKZbe+1DbcbLKVWxlgZajQakgwwnlOPCYfDgaGhIXg8HlQqFVSr1Y64V6fTwefzYXBwEB6Pp6POz81Qq9WQSCSwtLSE9fV1gYHOnz+P/v5+8VLtdht2ux2Dg4MIBAJyLOZyOeRyOdkYqoHZ7XaEQiFhtfn9fvj9frnRvJZarYbNzU18/PHHWFpaQrFYRKFQwOLiIq5cuSLvzdfSY/t8PoRCIQSDQYHLXoV5v+zfumHR3HR2ux1TU1Po7+9HpVIRQk4sFoPNZkMgEECr1UJ/fz/m5+cxNjYmhgkALpcLNpsNfX19gkWXSiWJ4dU4np9L3BmAbHr1OmkLrVYLx8fH2N/fRyaTeZX5yfqNPa76X/5d9QJEDlTvTHy3p6dHEAg1jGASQWaWys7SIgXRaBRLS0tYWlpCvV7HysoKVlZWsLCwgKmpKYTDYYnp/H4/nE4notEokskkHj9+LMd5f3+/xK56vR6Dg4N4//33odfrUSqVMD09jenpaUk0gBPDLZVK8vmZTEY26+rqKhYXF+Hz+eD1etFut5HNZgX68ng8cDqdEpd3O+q19/ZNn5HRaBRokokk+RUsK3Nz+nw+wc5pbAaDAX6/H/F4HIeHh1hdXUW9Xheaqs1m63AsJOuQAmk2m2G1Wju8M//UajXJP+Lx+Jm/1xsZrhaTVX/O//I4Uo89NRMnnqd9H8ayanihrSDRex0fH2NnZwfb29s4OjpCtVpFIpHA4eEhNjc3ceXKFVy/fh0jIyOCLhSLRaRSKWFhJZNJpNNpfO9738Po6KhskkAggN///d/HxMQEisUiAoEAJiYmOhAIxrexWAz5fF4qfrVaDbFYDHfv3pWSLE+HTCYDu90Or9fbwZTThgLa+/zbMmCejmoMSgyWxq0muFwMZQ4ODrC1tYWnT59iZ2cH7777LiYnJwUmJFLBxLpcLsPlciEUCqGvr++F70rD3dra+voNV3tDtP+vxoVaY37VA1ArcqqH5c/plY+Pj7G7u4u1tTUkk0mUy2XUajVUKhVUKhUUi0U5lhuNBkwmE7a2trCzs4NEIoFyuQydTodsNotcLgeTyYQf/ehHwnizWCwYHR1FOByWZNNsNr+AzZpMJgSDQfj9fhQKBYHlms0mtra2UKlU0NvbK1CXijjQGLRGSzSG90yFAF/nWajvpy2jM6Hjc8pmsx33Xvu+Op0OlUoFe3t7WFpakqQtlUrh+9//PqamptDX1yenUDKZxNbWFlKplIR6vb29HXkCQ4VCoSDP4azrNzbcbt6BqxsMwr+f9j78vW5oRL1eFzRiZ2cH9+7dw/r6utS7+dparYZ8Po+DgwMsLi6KgT169AgHBwdC+QNOkqudnR08ffoUt2/fFg4CH7Aa02q9P+PH9957D8ViEffv30cikRAOLgBsbW1JkcFgMKC/vx8mkwlOp1M2gXoPeCoQVejr63shc2f8qBq3Nobk4glQKpUAQAojKvrC9+bGI7So7WrJ5XISZvEesznAYDBgcHAQRqMRuVwOe3t7WF5exu7urnxXl8vVAY+xkGG327sWgV62fmPD5Tqt5Po6CYc26ePPWBkrlUqIx+PY3NzEw4cP8eDBA0SjUTQaja7FiWq1ing8jrW1NbRaLWxvb3cYuWqANputwwOq2Kv2+6nXyoQwFArhD//wD5FOp5FMJrG/v4/l5WUsLS2JtzWbzbBYLBgYGBCYT/2+xK63trZwdHQEt9v9QqJECDCVSuH4+Bg9PT3w+/0CR2qfSbPZRLFYRDqdhk6ng8vlEkNXu1hI6C4Wizg+PpZ7wXvKU45cXcbykUhEcgXgZGMkEgksLi7iwYMHODg4kM0yPDwMu90u12kwGOByuTA9PY3V1dX/+4ZLT3fWbLfb7/Pf+D7a+I4Q1e7uLh49eoQnT54gEomgUql0cAcYG7O9qNVqST8TS6tqnM0q0De+8Q34/f6u8I72utWyM/FIs9ksiAWrfqOjo9Dr9RKPOxwOTE1NYXx8vKN7hEdms9lEJpPB0tIS9vb2MDQ0BJfLJXE1v8va2hq+/PJLbGxswGaz4fr167h165Z0X6j5QKVSQSwWw/b2NgwGA4aHh2EymcTz8d6RyMR+OZ1OB7/fj97eXrTbbQnBiBRwU5TLZRwdHWFjY0PI9zwNV1ZWkMlkhPhDmE2tcDocDly4cAHVahVbW1tntrnfmsfll1ENWOtFtUarBfK5ToubK5UKUqkUEokECoUCWq2W3Cy+Bw2Xx6zP55OqHvHlfD4P4ATmeeedd/Av/+W/xDe+8Q3Y7fZTW5G019fte6rYJL0rkZODgwO43W7cunULQ0NDp5KGiKrwWmnQvP5MJoPFxUV89NFH2NzchMlkQiwWg9VqFZ4w48hqtYqjoyPcv38fi4uLMJlMuHjxImw2W0eWz3ChUqlgd3dXOjGmpqYwMDAAs9ksoQsJNQxTuNk2NzfFqDc3N7GysoJ4PI5qtQqDwYDd3V08ePAA8/PzstGBEw89NDQEq9WKS5cuvcrEZL2x4Wpj2tOQBvXfuy016dJmsqphqEmF0+kU/FMlsPMh63Q6WK1W+Hw+hMNhqUpls1nE43EUi0UheVy7dg1TU1MdvILTNtirjFddPT098Pl8uH79OgKBAA4PD2EymTA6OiosKW1YZDQa4XQ6MTU1BafTKRUzlVLKoz+TyeD4+BitVgtPnjxBMBiE0+kUyK7RaODo6AiffPIJ/vEf/xFbW1swmUzIZrMC0alxZb1ex+HhIR4+fCjH+8TEhNwfo9GIYDCI2dlZZDIZqSg2m01ks1lsbm4im82i2Wzi6OhIqplM9nK5HNbW1vDs2TN4vV74fD6BRVkaZrhxlvVahvsyCEz795f9TH0vQif1eh02m60D1+SiJ7PZbOjv7wcAjIyMSPmWnAUmXRaLBT6fD/39/UJ2IbGlXq9Dp9PBZrPB4/FIYqAe292+71myeu13Zsm2t7cXAwMDUrFjvNqtkON2uzEzM4PBwUF5qOrm6O3thdfrhcvlEiJ6KpXCF198AZ1Ohxs3bqC/vx/lchkPHz7EP//zP2N5eRmFQgFGoxH1eh3Dw8Md0F6r1UIul8PS0hIePnyIo6MjtNttQQXa7TZmZmYwPDyMb33rWwCA+/fv4+joCOVyWZpCj4+PAZwkedo2IxLo19fXhe9BZ8Fw5XXu8ZkN90286asWd+vKygry+TwmJycxMjJyqjfq6+vD0NAQfD5fx+dWq1WpgpFWGQgEhFHFm6OWSbV45qu+7+viqXwdN5zJZOqoxauIgGrAPT09wmVm96vK4DIajVLhymaziEQiqFar2N/fxz/90z9hZWUFwWBQKnrb29vI5XKSwEYiETx48AA3b96Ez+eDxWJBrVaTJGtvbw+FQgHACUPOZrPhwoULOH/+PAKBAJxOp7D+Pv30U+zv76NarUoOYTQaBVXhvTWZTJKQMXH1eDwCj2kT4rOsMxsuY8duBYU3NdxGo4G9vT384he/QDqdRqVSeaGsqmb39MZMiugla7UaCoWC3HCn0wmn0yk35lUnwcsgPS22+brflQ9QRQVIklGxVNV4GbIQcioWi2IA7XYbbrcb165dg06nw1dffYWdnR15XSwWEyOhN1SJRaVSCdvb21heXsb4+Dg8Ho8Ikezt7cnrAUjVsN1uS5eyw+GAxWJBq9VCPB5HIpHoSNrUDml+F6vVCpfLJeFBqVRCPp/vMN7XvbevZbhqPKpycF93qXgrS4jHx8eYnJw8lZPJh69WfNQjmf9uMBgE2npZwUP9LtquBS2ftxt8pkUdtEsLm/HvDGkACLHoNIy7XC5jbW0NGxsbaDQa8Hg8CIVCcLvdmJiYgNPpRF9fHz788EOsra0JRVHlvmp7ucgNWF1dxcLCAgDg+PgYh4eHHS3ovA9WqxVer1eqajqdDh6PB/Pz87h8+TKePXuGQqGARqMhp6LH40FfXx+sVqvwsh0OB1wuF/x+PxwOBwB0YO+va0evFSqojZHMok/Lws/yftylrHWTlnjaUj9LazzM5lWVnW6ngcp1YHzIqhFvsOrZ6/U6qtUqWq2WND/Sm7zMk3fz3OTSHh4eotlsYnBwUGA87Wq1Wkgmk7h79y7u3r2LYrEIn8+HCxcu4MaNGxgdHRUebiwWw+HhoSAtJBFpCwwABCKMRCJYXV2F0WiUDmL2jvFE6+vrw+joKIaHhzuIQDqdDl6vVwg5mUwGlUoFdrsdIyMjmJ6exsjIiCSMKi+ZoRM5H9o84qwG/Fo9Z9283esubYVsYGAA7733HvR6Pd555x2pZ5/2u6d9OfWBvWrRaBcXF/FP//RPWF9fh06nw/DwMM6fP4+xsTE4nU4AQC6XkzCGjDGfzydxq7bKp8bP6nW2Wi0Ui0Xs7Ozg8ePHqFQq0qqtElq4Go0GotEonjx5gpWVFZRKJVitVuFNDA0Noa+vD/39/RgbG4PL5UIikZBjHnjeYqNuROAEgioUCtjc3ITVaoXZbIbNZsPAwACKxSJKpRJ6enowNjaGa9euYWhoqAMfZtgSDocxNzeH4+NjlEolBAIBLCwsYGFhAcPDw/B6vfLZaqzOa9Ay/r6WUIEPiDtSC9K/6kO1O4vvNTQ0BLfbLUmJFt9UjUI9xtTPJlk8l8tJfKUtp6qr2Wxif38ff/EXf4G///u/RzKZhE6ng8PhwMjICGZmZuRhZTIZgXbMZjPC4TDGxsYwPDwMj8cDs9ksQH+j0YDNZoPf75fyJo/sRqOBZDKJ+/fv49NPP0WhUEAkEoHL5Xqh25iY9d7eHvb29pDJZCTEMBqNWF1dFfEP4tUqLsvnZbVa5fv4fD6pJGYyGeh0OsRiMXi9XgwMDCAUCuHKlStwOp3I5XKw2+24ePEirl+/Drfb3RGH83nYbDbMzc0JlTUYDOLcuXMYHByUxJibmyV7tS9Pfa/XzSFey+OedvS+7MO6QUqqd2KcR+ZSN4+pAvOMr3lN9GQ8Lnmk0Xj5Or4Pq09ffPEFfvnLX+Lg4ECSl0KhgFQqhY2NDbjdbpjNZtkUbOTr6emB3W6Hz+cTnJUevFarwe1249KlS3j33XcxOjoqQDubQe/du4fFxUXpPiB2OzMzI0lVo9EQUJ8tMyTJ5HI56Vrw+/0iY6SGbgydWGD57ne/i6GhIVSrVWxsbAhno1qt4vj4GKFQCIFAAB6PB1NTU6hWq3A4HBgeHsbw8LC0TDHPYYJpNBoxOTmJwcFBmEwmWK1W8eBaxICQpvZ5qKekNr942Xrt9vTTMm/1Ndqfq3GldoepFLpumT7jajK/+FCYdJCTu7i4iO3tbdkENptN/q6+V6FQwOPHj/GP//iPYrQ8vhhuVCoVpNPpF8qnvH7CWCqJmlWu3t5efPXVV9jd3cWPfvQjTExMoKenB7lcDpubm9jc3JQeumKxiL/7u7+DxWLBv/t3/w6jo6MwGo0olUrY2trC2toaisViV4qnKnfKnjv1NKIw4dzcHObm5qShsa+vT/IUwmStVgs2mw0OhwOjo6MwGAwSPrD9ntwEtl3RcAcGBjo4D2oyS/hPhbvUrhh+Bz5vxsBnWW/Mx1WNS/279t9UQ1Xb0flaHm/dqlNqf1qhUBDEgQZF3iuB80QiIVWZUCjUAas1Gg2kUil89dVX+Mu//EvcuXNHZDnVRQNVixXqd1I3Xbfvq9frBVIyGo34/ve/j2AwiHg8jt3dXWQyGdkszWYT0WgUf/3Xfw2z2Ywf/ehH8Pl8SKVSuH//PiKRiLRAsd4fDocxMTEhum3smOaJwBibajtsqTebzWi3Tzov2PN2eHiInp4eIYUzIaPHJP7N50YSDhtXHQ4H+vr65HmwnUo9oZjw8TWM/dkhwxODzkvbiHraemNBEO3fu/27+l8aYKlUEs9JYJo3SXuE0Ctls1mpznBnk9zx7NkzLC8vIxqNyo1h+4/dbhdgfGtrCx9++CH+6Z/+CWtra8IS47V3O0VYPu5mvNr7oP5epVJBJBLB559/DofDgZmZGelkJkLB32Wp9ac//SnK5TJmZmaQy+WwuLiIYrEoSAmTp5s3b+L27dtCVmGIRaIMvWUwGMTg4KDAbSx4UAp1cnISZrNZkrF4PC5HtbrhyeWtVCrI5XIoFotiYGzUVEM3xrGE1ui5ea1qrEzykYods7j0qvUbV87OkpQxeUmn0yK5U6vVBF6y2WwdJGNVNDmdTktHrNlsRk9PD8rlMg4ODrC2tobt7W2k02mpmJHU0tvbK6HB9vY2/uZv/gY/+9nPsL+/33GsqkeXFvPUfk/e9Fe9lhh1JBLBV199JRpZ7F9TcV3gpNCwv7+Pjz76CFtbWzAYDEgmkzAajfD5fILbXrt2DZcvX8bIyIjwNNxuN86dO4f5+XnY7Xa0Wi24XC4MDw9jfn4ebrdbTg+iHS6XC2NjY7BYLNjb20M8HsfW1pbAWsDzZJzXx/Cg1WrJM2O3hBY9obJRo9GQBJLognq/q9WqFEOSySTq9Tpu3br1Unvi+tpLvjREkotXV1exv78v8RV5oYyTSJUrFArI5XIolUrQ6XRwOp0IBAKwWq1Ip9N49uwZtra2RByYckBut1ugGEoe1Wo1RKNREZsjoYcJHAsD3VTEGc7wYRkMBtEf43tpX8+4vVqtYmdnRzisVJPRVst0upPugsPDQ4G9mLiGQiFcuHABV69eFXSAuGij0YDX68XVq1cRDoeRy+WEqsk/7Hamo1BL0AwTYrEYDg4OcHh4iEqlIiehmnfQk5NjoIr7qYvsO5JwWq0WHA6HfGd1Q2QyGXz++ef4+OOP5fX/9b/+1zPZ45kNV/UUp1V6tAkcj1tKGW1ubuLZs2fY29tDNptFqVSSL6fGwbVaTdRpgBNxCTYzGgwG5PN5JJNJ0R/gDq7X69LfxJ1uMpkwMjKChYUFLC8vy1FG0WS/3y8ejkIcKuzW09MDr9eLubk5zM/Pw2q1YmtrC/fu3cPBwUGHSB2rd1arVYzj+PgY2WxW2okYs2pJPe12W/SzisWi9KXNzs7i3XffxezsrMCGKnLAIsHQ0JBcgwrBsYBCiVIWahiCMBHk9ZnNZhEs4ev5nvSwZHN1gy0pxR+PxyUWDofDL9hKs9nE3t4ePv/8cyHbv8w5vrHh5vN5gTTU2Ep7QdpFtZRoNIr9/X0cHh4ikUjg+PhYgngG6uofej56lkajAbfbjZGRERgMBqyvr3dANIyJ1Y5W7vCBgQH88Ic/hMFgEF0yu92O6elpTE1NwWazIRKJ4O7du1hcXEQymRQvPjAwgG9961v4wz/8Q0xOTsJkMmFvbw8ejwd//dd/jXg8LrEwM/lwOCwgfzablcRS7ftihU9NVIhoEJ0wm80YGhrC0NCQ8GBVg+dpoO2eBZ5n97zHtVqtw3ty8wSDQYyOjmJnZ0dCATXDVyVTVcPvVk7n8yiXyyJ+5/V6O04xbqp6vY6trS1sbW2JctHrrDMb7u7uruw21shfVUHjrlf1Enh0M5NVGyB5g1WRDsZEHo8H58+fx/T0NEZHR5FKpbC3t9fhcZmhqqVJJiQTExP4sz/7M9y4cQPxeBy9vb3o7++X9vRyuYybN2/iiy++wMOHD3F8fAy/3493330X77//fgcm63a7USwWsbq6inw+L+XSwcFB3LhxA1NTUyiXy1hcXJTuC1Xzltk7CxhU2mECSsOx2Wzwer1yemjL3Coern0WdCoqYUctTvB0cDqdmJycRDabFcEUj8cj9EttIYeb7rTnznuulRrQrnq9jmg0KvnL664zG+7Tp0+l4W1wcFBi09MKBuofeiNWeHhD+EWBEzyWO0/LxrJarZiZmcGlS5cwNDSEkZERVKtVrK+vi5YuEyLW69UEiJ8fDodF7QZAR4Wt3W7D7/djamoK3//+91EqleB0OhEOh+FwODoeoM1mw/z8PG7fvi2xczAYxPe+9z1873vfQyAQQDKZlOMwmUx2fB/2ic3Pz2NgYADVahW7u7uiZavT6WScktpgqN5fwlOUYlKlnrgYV9LDqhua78f7wjgZAILBoPCU+TtqONStEMXPo04D41q1eshrB543capO6nXWmQ03EokIJc1iscDj8XQIQXTDdvlFbTYbQqEQcrkcCoWCJFxMupxOpzDn9/f3kUqlxBgtFgvGxsZw8+ZNabZrt9u4ceMG1tfXZbYYPTf1DdSbKV/2/4Q3xDS1xyuxUr/fL55MG4/y5x6PB++//75oii0sLOD73/8+xsfHYTKZ4PV6EY/H8ejRIxweHgoMxrh0bGwM3/jGNzA7OwuTyYR4PI6VlRVsbGygUCgIksBWHC46A86Po4Cf3+8X5R4112Bi2Ww2OyApLp6iLNM2m0309PSI7L/KxVBXt4opHYTH48Hg4CCy2ayQ+LW2wYqh1rDPul675KsWErrhufw7//DGBINBwQPL5bIYyfj4uKhp53I5rK6u4smTJ9je3ka5XEYoFMIPfvADXLlypaO9JhAI4Pvf/z6Wl5fx85//XGLwbtfG6+/2d+3/q63eL/tds9mM2dlZ/Omf/ilyuRyGhoaERUWPNjU1hampKWxtbUkSZ7PZMDIygmvXruHatWtSUp2amsL8/Lx48Ha7LZ0O6oPnMUyseHl5GY1GA5OTk5ibm4PH4+nQftDr9R1dJVqyDJ8RWW88rdTQg5/JI13Fv9XF8MPj8WBkZAQOh6MDuVGfSW9vLyYnJxEMBsXZfC3Jmd/vh8lkEjIxDUjdeepxwOOesBPr+8FgEJFIBIVCAX19fZLxc8rgzZs3EYlEpIeJMpmhUKjDm/T09GB8fBx//Md/jP39fTx9+lQkMl9W735ZTP4qTFp9HfHQ8+fPo9FodNTneX289t3dXWn3HhoakiLCyMiIeCQatd/vl4SK3GLVEFX0JZ/PY3NzE5FIBLu7uwCAy5cvyzENPDem0xJp9XWq5+tWcFHLuWqSrp5avGYKZ5MOqtoE845Lly7h29/+NiqViuhRnHWd2XCHhoY6iMLqXAbuRC0XQU0eSHwxGAzSakNg3GKxoK+vDz09PYLXzszMdOCz6sPjYmv2T37yEwAnnmBsbKxrB+3XsXg/1KSLS6fTwWKxYG5uDqVSCYlEAg6HAxMTE5iYmEAoFOpgdKn3icUTfoZ6vPMemEwm2O12WCwWlEol7O7uYn19HRMTEx1CysDpxPdupWvt0kKblUpFihnqrA/Vw5OxZjAYpJyr5XoYjUaMjIzg3/7bf4uBgQEsLi5Kz9qZ7v1ZX9jf3y/HOw0JeE4uoRFqpYPUXUwi9f7+PnZ2dkS5+8qVK+jv7+8gG7N5Tk0ktDfXYDDA6/XiW9/6lrz3wsLCC3MZXnd1O7JOS0a6GQXhnkajAZfLhZs3b0pFz+FwdJS4ux23alKp7Yujgff29iIUCmFubg6FQkEULrVeS4u18r/aGPW00Er9HRpuPp+XE4KUTBUeJfJA56a216sJotVqxfz8PAYHBzuqdmdZZzZc6j9pq1ysN8fjcRwfH0On04nOLVVL1N6weDyOvb09RKNRtNsnI1KvXbsmnvI0Iz3NIxiNRoTDYdy6dQuFQgHnzp17bTkfrpd5o27GrJ4q9CaqsB51fgOBgJCqu0FJ6lGsMsG6wY38f8aSs7OzMBqNSCaTooGgvq82ntV+hva9tWiM9mf8fuSdsNpItEg1Xp4gqkYE34uniMViEfz7a4lxefzQA7TbJ2QSckwfPXqEVColoPn58+cxMzODYDAo8R3DBBIrKJz2+PFj3Lp1S3qRXmV02lgaOBH3cLlcr2z/Oct70ruo8d5pcTxPG0Jx+/v7ePz4MVZWVlAulzE9PY3vfe97HTH6aV6Q2CcTJqCzXUnriUmYIW1SFdrg67p9LxVb1XJhu3VvqGEAX1+tViVsqNVqgu2rsJxaGKLkaK1WE3Uefk63hPhV67Wmp6vHdqPRQDqdxpdffom//du/xdraGsrlMnp6ehAMBpFIJETAmWA2h3AwWKce2MHBgQionXXxJuRyORH54HufZvgvQxr476pGg0oVVIsp/De1akej/eqrr3D//n3EYjHodDpsb29jeHgY586dk6Oz2zWoD5llYZ5A2thZjRMJTbKDgvFkt1BASzvkBuHRzpPqNE/PPMVsNst9YNm9XC6/cMqStsgScC6XkxI1dYvfNBd5rdYd7jwazdHRER49eoSNjQ0pk9KrEu6Yn5+XG+NyuTAzM4OxsTHpKiXX9Kx9bPRM7N9aWlpCNBqF0+nE5cuXu8aN/D01Q9a2ogDPRec4QESdDUa+xf7+PqLRqLTCszQLAOl0Gjs7Ozg6OpJO3q2tLTx69Ai3bt3qqg+rXpfKT9Ueuacd68wHAHRwXJn58/fI5WA5liceUR925J6mc0CD7unpEc0HIhs04kqlIsbLdp7j42NRbtzf34fZbMbly5dx8+bNF7TO1JPmVeu12WHcueVyGalUSkp26jFCz8SMksZptVoxPT2N7373u0ilUiIMMTc3J7JEZ7mOSqWCZ8+e4a/+6q9w//591Go1zM7OYnR0tCucAzwnpatcAfXzWGPf29vDo0ePsLW1JYQbqrREIhEcHh4im82KMBxRDxZjaHTsvKjX6zJdiONTtfeUjoB6A+Rc6HS6FyYN8bupMSiNjfhuqVTqQHHUf8vn86L0WK1WpUDEvjK1Q1q9N9zAPAnYScHPY4KYy+Wk7aler+Pg4AAPHjwQYrzJZEIikRD5VHYqc/O+bNKnus5suGqLBfmy7XZbOk4pXkxMMxAIiAq16lG9Xi8++OAD6HQ6rKyswO/34/333z+T4fLL5fN5fPnll/jFL36B/f19OTKZ7Xb7PfaONZvNFzpM+XCKxaIoIe7u7srGa7efixWn0+kOfV0mqUQ4OCWHna9GoxHHx8d49uwZRkdHEQgEOmJwciyy2SyOjo5kxgK9Fmcod1tq3Mn3JI+Zul0qKYahGeexcVgICfcq8Yfvxxhe1aDghrJarfJ+6mRRKt0Ui0Wsr6/j4cOH2N7elhO20WggFArB4XAIfYCsvdnZ2TPZ45kNl/V2FRZxOp24cuUKfD6fsL4KhYIMHZ6bm3uBjMPBbL//+7+Py5cvy4RCxn9nScw4voleQ6sloL6WN58MfgAdfWjq4vtGIhHEYjExciaXxC3V+JbHJ6mPIyMjMBqNSKVS2N3dlfj73r176O/vx40bNzq8DHu/1tbWhFDd29uL4eFhIdm8bNHjEu9tt9vIZDKivE4KJ3kier2+o5uh2WzCZrMJCUen00nLEvF2Oil1dpl6ApdKJUSjUeET83pKpRIikQgODg4EtzcYDIjH43j69CnC4bBoWpBB91s33Hv37gGAeAGqkpCYkk6nEYvFkMvlZE4u52CpkAwxyEAgIOXMbroCpy1CKMPDwwiHw6KeTQEKLdykJoH5fL4DH1YXj311UApJ2eFwGE6nUxhN5FPU63X09vZicHAQ165dw61btzAyMoKenh6k02ksLS3hiy++wObmJh48eCAP/8qVK3Iksm/u3r17uHPnDtLptOCbgUAAg4ODXe+DGi6ouCmVxDlGK5vNQq/Xw+l0CtOMhpLJZORUIGeYDqlarUoFM5lMQq/Xw+/3Y3h4WE5SktB3dnawtraGg4MDFAoFuXeMgal0AzwPi5LJJDY3NwVSU9t3zrLObLg///nPhTzCgXKsoLXbbfT392N4eBiVSkU0Ek4rvzKWoifWesmXVXEAyETuZDKJpaUl9PX1ycA4FkbUpSrwMObW4ps6nU56tVg/Jx3ywoULGBkZQW9vL46Pj7G1tYX19XXxjtPT07h+/TomJyelxysYDEKn02FrawtLS0tIJpM4Pj4W+dPx8XE5IhOJhEwLyuVyMqyOo6/Ue3PafVFL69Q0oOEwTlcTL4YmbHti7E5NhUwmI6QfjnHi0c7ZbAAQjUbx7NkzbG9vd0xppyMiSqJdFL/m8zmN/njaOrPhrqysiLLf5OSkzL1iYx2PVMaFp4Ht6qI35FIpdC/7vZ6eHpw7dw4/+clP8O6774qMJxMM7WJMphU01r7GZDLJcL16vQ6fz4erV6/i4sWLIsbXarVw9epVpFIppNNpAIDX60UwGJR2FgBCQvd6vR2e55NPPsGlS5ek+5YdD5zIwzjw4OBAtA9UNIT3jdesbkCSZXw+HwYGBkQmlF6tVqsJGpBKpXB4eChoEInvnF+WTCZlwjs5z8lkEvF4vCPRTCaTHdPftZVTlaKqXj/jejWuPktyznVmw1V1vjgLi+0fXNSl0laTtEA4d1ixWBQSNoUkTjMqden1Jyotw8PD6O/vF6PrBvAz0WCZWn2ddrEMGQgE0Gg0MDw8jNnZWYTDYYkPeQ84V5eZtnqCtNttmW/s8XgAQBCNg4MDPHnyBLdu3UJvb68kjdSUJSrBWQxqaxDvHTsuVMol7wvJ4WSrpVIpSa6IKpRKJcRiMelEIeWR79vX14d0Oo1EItFBbmcCxR5CvV6PfD4vSEi3ilw3J9RoNGRcF8Ox0zTUTltnfiU92tTUFAYHBwX+4YPiFyPjn50SKibI19VqNaTTaWxvbyMWi8FisWBwcBDhcLhDaFlbfuRNUZMiLU1PXepr2SHMB67eWP6XfzebzRLDUxZKWwRQlXK0n03vYTabBbul0VHAJJvNwuv1SiWRc4ZVwpL2vvEeU1+CclPqhuHnUlppd3dX2qRotCwIsHuDm4FKPkQKaLQqjZEbjYvFDLXSqPWc3ZxWPp/vgAzV0+os68yvvHLlClwuF6ampkTnVMVKOZ9gd3dXxoyOjIzA5/NJtk9YiroBH330Eba3t2G1WrGwsIAbN25gfHy8Q9tWSzrhDVRxTNVguq1u3kld2nIovYdaHHnZ+3f7fBqRVjlSr9dLdY5VLA4M1OLMvA9aw0+lUtKDR9KOeg08ZWgYrF4x1mcvHIWjaVjqKVgoFDq8qHqftGo12nCA97u3t7cDSuN78PvncjnodDpJnr8Wwz1//rwQwrWlS96co6MjPH36FIlEAoFAQEjk6k2kmNuHH36IDz/8EMlkEj09PYjH43LsDg8PywNRH7zWeM+y1M31sooajZajldRp6696727vCUDeU00IKXJMA9ZKKAHP56epY1pV57C+vo5isSilZG4wfma1WpWsfXt7W6qUZKyx61clb9MguaEo1tyt+MHP68afZdjmdrvhdrsF/1bfS73f7Ibh9KSzrjMbbiAQgMlk6riR/K9aTaPoR6PRwODgIAYGBiQ+ZCKyurqKBw8eYH9/X7ohDAYDgsGgzIZV42Lg7InbaUsbZ3PxgdGbJRIJ7OzsCGIwMzMjckevs3g/6FUYpgSDQYyMjMBms8lrmaDwwXESDRs0ee3VahWHh4d4/PgxUqmUiIYw5iemStWeX/ziF9jY2OgY16r9o94f4DmnuhsSwBOE+Yi6AVScPhAI4Pr165iYmMDR0RG+/PJL7O3tSaKpknlYGHmdyenAaxguYykVWuKxptOd9Br5/X6Z7cUWcfVoYZhwcHCAZDIpRxXwvFmSwLiqP6ses69CKdSlPRX4XzWeVeOuXC6HnZ0drK+vyxzasbExqamr1Tb1wWv5BDSyRCIh0kZUMpyamsLk5KRMW7RarQiHwwgGgzK1JhwO4/Lly9LWo9PppCR9cHCAZ8+e4ejoSE4pzsulU/j444/x5ZdfIhKJSLVQew/U+0MvShyb90M1SOLvxIPJSGN8y+KCz+fD7du38Sd/8ic4d+4ckskk3G43fvazn4mgNQn4LpcLFotFTuKvBccFnoPHancp8Lzhbnh4GBaLBdPT02i32y8Ml2NtmzVyhg8sarDHikUA/o6W+KH1uqfhm9qfq95E/TdWAjmFkpq0xWIRH3/8sdA0eRKQrMKOYpLraWRkzm1tbSEajQKANIyyukYokUP73nnnHWnnPn/+PG7cuCEcaH4XXmM0GpXycKlUwurqKgwGAyKRCNbW1rC/v9/Rx6VFdtTF58Dp8qFQCABkvgNnHjPhGxoaQjAYBABhwGUyGTSbTfT19eHy5cv48Y9/jOvXr8PhcGBoaEiI/Z999hkKhQKcTieGh4cxODgoYtWM88+6XovWyC+qeiwaE/vR6EFUsF/rqdlbxR3rdDpx/vx5XLlyBePj4/D5fFJNYwKgGq5qvKd5Um3ixs9nDEcvw6OK2l5UVGRy8uDBAwwNDYnCi8FgEDmp3d1dlEolkX0KBAJyhB4cHGBlZQWJRALACR9gcHAQk5OT0o/F8Gd0dFTw6Gq1KqroahmcToNzfovFohBblpeXOzgKDAvOsnhaDgwM4NatW7hy5Qr6+vokX9nd3UW1WoXL5cLIyIjkH2QHejweHB0dodVqYWBgAN/+9rdx8eJFaatnI+gf/dEfwefzIZPJoL+/H5OTkyKcwmYEMurOss5suJSWB9AxGEQ1EMaqDBHULFQ9WjmjlpthdHQU169fxzvvvINQKCTcAAbwhGyA5zKa6qJxM/Tgscdr5ENPp9M4PDyUWbWk4AEQ4bdYLNYxpimZTOLhw4dwOBwYGxuDTqdDNBrFysqKGK7T6cTY2JhI2jMBXVlZkTlh1J5l96saBnG2mV6vR7lcFpl8xry8j6Qt8mfkDZPUrUUBaJjq+2j/nYng5cuX8ZOf/AQLCwuwWq1S0WNYp9PpRFaUidnY2BgmJyeRyWSg1+vR39+P2dlZeL1ewcoZf4+Pj8um9vl8ogPHZ6mNuV+1zmy4brdbvJwWcD+tYKCt+PCItlqtGBoagsPhkGmI8/PzQi5WKy70Mqy3q2ViFcbJZDJSK2fDJfml9Xod8XgcDx48wJ07dxCLxeBwODA5OSnNhZFIBOvr6xJnqnFrNpvF0tKSTF6PRqOIRqPS3Ge324WWaLfbkc/nsb+/j0gkInilx+PBxMSEfEe1WMJjmjAUu3TVh8nTivxbk8kkikCUsdJCUgwBmLixyKGVRHK5XLhy5QoWFhY62Gs8STjNR1XZAYBwOIzx8XGBDjkJnfCcWoyi/pvBYBAxvldVVl+2zmy4Kk+ShnNaeRV4sd+Jxzq/PHuNQqEQRkdH4fP5BDrjIhGZAsfhcPiF1hKKgNy7dw8ffvghEokEhoaGcO3aNczOzqKvrw/Hx8d48OAB/v7v/x6PHj0SPsDjx48xNzeHcDiMTCaDra0tienYscFRSel0Gru7u0gkEkJIASA6scQiqdu7t7cnPACPx4NAINAxCV1NOFnZ83g8gjAwQeI95qa32WxwuVwSV5LJpX02DG3m5+cxOjqKYrGI+/fvY3V1tUNgzmAwwO/3dySMfD+eWiaTCeVyWbw7gBfE8xgScrOrTbTqXDcqPr4OPt5tndlwteDwWcB4FZfkHz7gUqkkP1MrQKon5VDkBw8eoFqtYnp6WvqqeIPq9Tr29vbwd3/3d/jwww9FBYbjkwYHBxGLxfDxxx/LGE8+7Hw+L9oN7Xa7o4uDhJtz587B5XIhlUrh6Oioo7uBbSwsATscDuRyOWSzWUk2+J3C4TDC4XDHtXMRZrLZbB2VMxouEz6DwSAqMZVKpSMHYLlWrz+ZSL6wsIA/+IM/wM2bN+H3+3F8fIzBwUH8r//1v7C7uyuIAWmm/f39Uuzodm28Hm04ZjabXyh301hLpZIUNMjT1Tqer93jngYOv+yD1X/jF9XpdEIq0ev1cLvdAoOoX6bVOpn9+uDBA3z22Weo1WrIZrPw+/2i1kJu6erqKu7fv4/Dw0OpDOl0J6JxU1NTiEajwtBS42VeB7kFZDaxW4NKhmSFUb2b3Q+Mt91uNwYGBuByueR45zFOUWP+uxoiqImkttJkMBjEWFh84LE+PDyMZrMpnovPp9U6EXW+du0a/vRP/xTXr18XL84Cx+LiImKxmDgOt9uN8+fPi9xqt+fH70kvqZZ41QQc6KyMHR0d4fDwEPV6XU6avr6+js94U1z+jaenq19MvYhu/65m8K1WS+a5tlotEc3QfoFms4lIJIJ79+5heXlZjGF8fBwTExPo6+sTiOjg4ACJRKKD4M3KkdFoRDweRzKZfEFGk8mKlurIa6YX5KwwXhd5BDQwl8vVwdklj4Peyuv1irdVQyntfSOnVvW6hB4J9vP9Wq2WXJfZbBYNsUuXLuFHP/oRrl69CqfTKcZoNBoxMTGBDz74QPq/enp6MDc3hytXrnSo33R7zky6SQzq9rzV70Mh6/X1dTSbTYyMjMDv93fcP9VLn2ZTp603mgFx2sWq/+2GG7bbbRmDxC+k1+tx+fLlDiIHj7+DgwNsbGwglUqdXKzRiM3NTeRyOUkiOH1dy6JiOZEzbum51O9DbYLBwUHodDoB6xuNhsyeYBbs9XpfyPRpYCTl+Hw+tFot9Pf3Y29vD81mE3a7HUNDQx0eTb0OtTWGR7fqtYgXEwZjIypzAmpYVKtVhMNhvPfee7hw4cILYnk63Ynexe3bt7G9vY1f//rXsNvt+MEPfoDp6ekOTYtui5uQBQOW57sttTGTxHIVU1Y3vta2uvGpu63fipQ+/50XxSNE3VGt1sk8hvX1daysrODw8BDt9kkn6sHBQYfiOZfKmgIgrCXtvF/tZ9EA6JGYQKgJpclkQigUwo0bNzA5OYloNCoK42RpJRIJ5PN59PX1YXx8HDs7O4hGo7JJ6BHZHsPiycLCgqAcnB3mdDrlYfE7cpNoFYBouPRa1JFlSGM2m0XDzePxYGhoCD09PRgeHpYZvzQq1cMbjUaMjo7i3/ybf4PLly+jt7cX8/PzHSXtbg5KDYuIGPD9TmOCkRvMsI7SpSw68Xur6vOtVgtjY2NnsMbXMFxm26qLVy9aBfhbrZbMGOCDoLrggwcPEIlEUCwWAZz0spHboC4maVphDiZyvBaD4cWh0729vfB6vdLe02g0pFLFBsJQKIRvf/vb+P3f/304HA588cUXACB801arJR0BnDjJOQ3lclmUw8vlsoyAIpXznXfegV6vx87ODux2O6ampjpCDf6XHpWNikzcgOe6FcvLy3j27BmKxSKcTqfQP9XvTIjJ5/PB6XRK3KsNfYCTsQRTU1MYGhoSdEerv6subZKt1TrTHvd0HL29vULIYtWQRQkAUnRgT1oymUS5XMZ/+k//6Uz2eGbD/fDDDyXm83g8cLlcL8y4Yh9TtVpFX1+f0PLa7bb0YK2urkqTHgDho3arU5P0zRvEY9fhcHSooFDDim1ElCaan5+Hz+dDs3kynYZVLKfTiZs3b+LHP/4x5ufnUa/Xu0rzs0JlsVikehaNRqXsqhJzjo+PYTAY4HQ6ZQbE+Pg4dDqdDLFjSMBQJJPJiGwVGWPcsMViEZubm/jyyy+xuroqlSmSxNkSz3FbDBtehY3SqCjKojqgsyBFKiKidV7qItmGIY06N4IhQj6fx9ramhCuisXib99w//N//s/SSzY2NobLly/j4sWLolfVaJyM8YxEIjg+PkZfXx+CwaDIKlEKVJWT5E5l5YeQDokj5XJZuhZ6enpkMrfay9Zut6XXikz66elp3LhxA/Pz8+jp6UGpVBJ5eJ1OJwrc09PTcLlcKJfLHSLVamGDxQ+Ku7333nt48uQJ0um0eEt2C5C/QeUeJmvkaxC2UmdiZLNZ0cwlHNVoNHB4eIiHDx/i0aNHiEajgpWWSiWBodh1zD+vogVqYS7telWGrzVU7WtVXi6xaeK93QSldTqdzFg7OjqSU/gs68yG++zZM6nGLC4uylC89957DwMDA9Dr9TKXLJFIwGAwoFAoCES0sbEhXZ3qFydUk0gk4Pf7ZSbCysqKeBqqXPOI4wNWCc1Wq1Wm6Fy7dg0XL17E4OCgwGoUqWi323C73XLc0iAsFkuHJBC9Lmv/rEKNj49jdnYWS0tLEi7kcjlEIhGk02lJGokgqDKbLNEeHh7i2bNn2NzcRLlclvjP6XSi3T7RjVhaWsL9+/dxcHAgegUk1fC+aSuXKkqihdu0i/+uIixnyehfRsZX/85rVE9N9T3IEHO73XJyfy18XHpJBtUrKyvSr6/TnfQpFYtFycYZw1Cuh6wlJlY85imY8dVXXyGZTKLVamF/f1+8TaVSkZh1cHBQPk+tytCrBYNBzM7O4tKlS8IJIIZIfgBVYlRFR2bcXq8XJpOpQ/yEpBwAEgpQ0p/l4Uqlgu3tbaytrXWMoOIDZIhA+fuNjQ0sLi5if39fPr+/v180DHZ2dnD37l3h0vL3iS6o3FpSCklE4nVru0e6GZralaD+7mmGftrP+DtqIq5uoG6vp67c6OgoJiYmJCQ763ptHJcZYaFQwMbGBu7duyfJTrlcxuHhIaLRKIrFohwt+Xwee3t7iMViAkup2Onh4SF+9rOfod1uI5vNdrCzuCkYz2kfFmdFeL1eGV0/NTUlRlitViUGVjV9VXhMr9fLUBabzSaelK9Va/Rk97MKRIPc39/HF198AZPJJKMB+HmMa/P5PLa2trC4uIiVlRXp/uAwE/IqHj9+jIcPH8p0RrWSmM1mhTvATcHnwo3MYg+9nYoY0MtyM6hGexrf+Syxr9bjciOx+6Xb71Af4/LlyzAajYjFYme2wzcuQLDF+eHDhyiVSgiFQnIsszuVRpbP55HJZDrmWXGHNhoNxGIxRCKRDoaTCmvRyBlzki1P72+z2TA2NoZAIIALFy4gFArJ7iVQzyZMANLrxTCDRYTp6WncvXtXWmnotbhRaMxUUCeOTATgwYMHwpmdmpqC3++X6yC0tbKygqdPn2JnZ0dm9dKwt7e3kc/nZSiLuoHo/ROJBCKRiEy2sVgsInvF+8nQRp0uSeNRoShuXhYWyE1402qW6nV5QqvdHapn5r+53W7Mzc3B6XRKu/9Z1hsbLmO2w8NDUa9RExDuQHoBdUCd+iVpRKr4L/+dUA+TEIpIOJ1OuFwu8ejBYFBGO7FVyGg0SmWLzH0e7zqdTgwOeE7tm56exszMjIh3sCOAHprfiyFST0+PtKOUy2XBeMlXmJ6eFj0GzmtYWlrC9va2KOGQyphMJmEwGKQHjXqyXO32CVOOSVuhUIDX64XX60UgEBAhEvIv6vU6HA4HQqGQTOThCcGWIpZ92UavhhfqepPKloqgqI5IXXr9c/kqykCddf1GJV/Gd+QRcHVLGNSHoBYCaBTdpq7o9XrRcXC5XKhWq4hGo+LFiGVSVYWtINqKDiVOg8EgisWixLtqqEBB6kuXLmFvbw87OztSLSLCYTab0Ww2pebO04BerlwuI5FISHhRrVYxOjoKq9WKbDYrCRkxSxYd2PHKe6VuYC56sVgshq+++gpbW1twu93o7+/HxMSEwHXZbFYolz09Pejv7xc9WqrbZLNZEQMBTqQHiMBoS9/dqp98xtqlPne1caBbjK1iwWz1/1r4uN1q7LxAxkwv+x21eKEO6FNDA3WRgDwwMIDx8XH4/X4pAzOEoFaWWljgsa5FHdiB0Gg04Pf74XA45PhiLOZ2u2VMKjUHAEjXL6UzVU4pOblqWTOVSnWQ1/v6+qQ7l8ow2hI018sqlK1WS1CJeDyOnp4ebG5u4vDwUIgyxWIR+/v7soF2d3cRjUYxNjYGr9cLnU7X0QFcLBYRCARErDAcDncw9HhN6kmoHvvqs9b+jhpHd/O42t//WlAFygWpu+gsZWB16fV6iQ959J/W4syJh/Pz8xgbG0O73UYikZCEhcQVbgAOUa5UKh2sKVan2EWs158M1yMpnYuQWDAYxNDQELa2tmTaeiKRQDKZlG4Jg8EgE8Sp86U+JJUhlkql0NvbK31VFEx5He+i3k9uTLaQE/8mrEghumg0KnF1MplEKpWS/q90Oo21tTUZydXT04NsNguHw4FvfvObHfeGvAPG24yHWbo9LXTQUgBett4knn4tQRBqDlAZhQ9ALfep/1UvjBWuUCgko6c4cVHlHjBz9/l8OH/+PObn5+FwOETClNTEoaEhTE5Oyg0icsG2HOoyqHE0dbVYeuSN5fFI0NztdsNms4k0JuPGUqkkJWefzwefz4d0Ot3RMqMKYKhSRY1Go2unwpsuFUXI5XKC8dIrs1uacS9hSpfLhXw+j4ODA8TjcSHBlEol9PX1SYLLcKxarUrLU7lchtfrRX9/f0e41c3bnsVgf5N1ZsP9yU9+glwuh/39fWxtbeHg4EA6AdQAvNsF05v19/fjwoULmJ6eRrPZxJMnT6Sblr/HeHRubg7vvPMOgsGglJKpJVAqleQ4tNlsqNfr2NjYwJ07d7C3twfgJN71er1wOp3CAWCCRX4BDVjNhtmC4nA4ZBOwoZKVMdbhz507JwgKPSHwvH+KhgW82Mz521r8LCrfAJBTgKRvemJKiPIkUGdZpNNpfPLJJ1IwoppkNpsV7d5CoSDdJePj44L28Dup3/vrNFrgNZVsyuUyBgcHEQqFpI2bpU9eLC9eS4zxeDyYmZnBlStXMDo6KgnJ1taWqHDrdCfk74mJCVy9ehWDg4OoVquyWY6OjkT/an19XTqFC4WCyLXH43G0Wict49QAoC6sXq8XFGB/fx/pdFpE7Ri/Mh4mOYdlbnINyP73er0YHx8XyiQ9Ld/jt22kp+UYPCl8Ph8mJiZgMplk7sLx8bGEMdx4JNnzmfFZsS/v5z//OcrlMt577z14vV4cHx9jfX0dW1tbEo4FAgEEAoEXOiaYkNGRqdesnsZvEhpo12sJguh0OuGcttvP9RDoMfkltIwi9uRPTk5icHAQXq8X5XIZgUAAHo8HsVhMvF0wGMTMzAz6+/tRq9WwsbGBhw8fdmgFkJdLD8IHlUgkUKlU5GGyhYb6DiQCVSoVmEwmPHr0CFeuXMHVq1clK6/X63A6nTIlBziZ8UajJ+THfjlyZBkGqMnIb2upEkuqCB3wXIBvYGAA09PTAisRveBpoCbRJD7x93m9FK7++OOPkclkxKumUikUi0V5DbUxuIlpiNwcWi6KVjzmt2G8ZzZckrkbjYZUj2q1GsxmsxiLWpdWy6nsN6LuACs7bPyjSjYxPXbKxmIx3L9/H5ubmyK+wXiZ5BYytIgTA5CiAU8AGhwHYPP43t/fx+7uLjY3N2VIIFlm7MHiCCyGF2TD0XiDwaAM71Dx6NNKra/9gP5PG5HD4UC73Rb8VTVe4tB+vx8ulwu1Wg2PHz8WbgjjbxZVSMohDKkWORhG7O7uwmKxiGoNT51QKCTUSXWDqt5WjXsJE7bbbSlydEMlXvu+nPWFi4uL0hpN0giVXci/VbmdarxLr0D2PMnDwPMuWR7LJpNJyr4bGxvY2NiQJImwFY9kYsDa0ESF3lgcYBFETaSYmedyOcRiMVy+fFl0Afh9KA1VKBSEpcY/3IButxuBQABHR0dCdD8raqBucm2IQRRmeHgYk5OTAIC1tTXRc1A9JTc2xxSMjY2hr69PZncAz2NQKuiYTCY0Go0O41ZfZzKZ4HK5pCpns9kwMDCA/v5+ISSpSanKZabhVioVUaixWq2S+P4mFTrgNQz3l7/8JXp7e0ULQZ0iqHa7qjMU1ISNdfVCoSBtHUwQGCYYDAapDmWzWYnTVNKL2iGg7nCgk6lP2h89LTeL6qlI5ma/GruPp6amYDabkc/npR2dsTEfusvl6iBtsyZ/lgfBjUXGGYsm5P/y5GDnwLvvvosbN27AaDTi7t27+MUvfiEKM8AJyX9zcxP7+/uiyk5esLaYQAMMh8OiSKOWf1kQILoSCASEweV0OuHz+eDxeDoYeiwhsxtEbU0vFAqIxWI4OjqCyWTCzMwMJicnpZLXLWY/y3ptj6t+IY/HI5gsbwAxPlU0hHX2fD4vx3s2m8XW1hb29/dFFZsMqFKphHQ6LZjnaV+um1djuztxVraHnBZ30ntns1lsbGxIZcnr9YoWLUWOm80menp64PF4EA6HUa/X0dfXJ6EKr1UL0ncD3pmwcpq62WxGJBLB8vKytNCzS/kb3/gGrly5IqEJoS210LG+vi59ZBaLRSp8Wv4siyf9/f3iQNTeMJ40nNLDyT8chcVQikgLe/uIUND4GU7xvi4uLkpBRss/Vk8a8kletc5suMfHx8L0Ir0un8/D4XB0tEh3i191Op1gi4VCQfDYw8ND6ZgAIHEXAPHMpxltN0Ok92cDYW9vL/L5vLz+tKVirtvb20I8JwbK+JXGwGOZcZ764Hgd6r1QxfCY0Hg8Hly8eBHf+c53ZOJ7IpHAnTt38Mknn+Dg4EAMd3x8XPIDm82GbDaL1dVV5HI5gSPj8Tg+++wzOBwOjI+PSyGGVE4mR5Seor4bwzIiDwzpdDqdPGOqGKlt6GTmpdNpRKNRET+xWCxCum82m8hkMtLPV6lU4HA4MDc3J53KxMk5J+3dd989kz2+Fh+XRwMHbPDBMtOkobGyFAgEhLBNggyHfmSz2Q7VaxYKmOh1m9aixq/8f9WrUXiP2gs8qs6SJDGRIIMtm83CYDAIHsrYjZuUAs2sADKUYJhCz0wCEB8iZ60NDQ3h1q1buHnzpjQ7jo6OYmhoCP39/fjiiy9QKpXQ398vpxpPs0uXLuHq1avY2NgQL0fxlCdPnojhMdHlPWaSRUiTVTaHwyGJJbsVisUi9vb2UC6XpfeuVCoJ441jrpaXl4Wiyark0NCQkJ1YrAIg34HPhfOP7969K0PM//Ef//G3a7jqA+Z/q9WqqAZqtaVYRiwWizJ5JpFISH8WDV2bFKgbRJuoqGRnoNOQCc2Fw2GBtugFuDHU3+9mzDReTqlhDKYF1bnBeMzSsHU6negcDA8P49KlSxgfH4fdbkehUMDOzo4kVsPDw+JJ2YlBFhyP6/X1ddhsNvlsFbN955138NFHHwlWS+Nl2MUwhH12ZIvNzc1hfn4eQ0NDyGazwrlgmZwjDGhYnMPLihmrZuVyGdvb29KxTaYZw5CZmRnRSqYapN1ux/z8PPx+P9rttpwSf//3fy848VnXaxsuM3vGJ0wotDxaekt1Eg/LxYRztDGqClrTkIDnBqoaL3/GpI6NlHNzcxgYGBAUQf099aijt9YWTJj48XrU16vEaMJ+3GyMD6k08/777+PmzZsIBALQ6/XI5XJCL4zFYggEAi/MugAg+PD8/LygILy/rADSO4+OjooQH8lL7DQOh8MSL/r9ftTrdem1m5ubE+FsxsRM5Cg6SNlShkg0QKvVKl4zl8t1iDsDkOomx8dSfZ0jrKanp0VfV+VvM4E+63ojw+U0GT50FXjnw2fcSFEOFfzvZrRc2to3DYaZLltrVLaSzWbD8PAwbty4gUuXLsHj8SCbzYqXV6eg05vx5ncbd0Qjp4GqHcWMEUOhELxer0hyqqXiy5cv4xvf+AYmJiZgsVjQarWk5Yh0RlVDTN2sNBC/349AIICDgwMcHx/LwEAaIycgra6uSo8fvaLf74fP54Pb7YbL5cLFixeh159MhhwcHJTetna7jWAwCL/fD+B5+NNoNKSRUytfqiaeKi+DSyWp86SYnp6Gz+eT4hPjX5vNhkAggGAwKKJ6Z12vZbiqERHj1Hos7etJXCbR5VWiw2r8CnSytvr7+6WSw6SOnNNbt27hm9/8JiYnJ2E2m5HL5YRL226fkHDIlzh37pzQJHd3d0VClBVAsvZVdcHe3l5JOEOhkMBJbFFhEkhuK3veGG7o9Xp4vV6Ze0xPqiag3LDEb9khnU6nkUqlZG5Eq9WSSfTr6+uS5Y+NjYlIH+FKenx2BtPDMxkbHx9HNptFf38/AoEA/H4/KpUKnj59KsakCqBwacu46mL7fTQaFeqp0+kUO+B37u3txcTEhIgTfi1dvt2Mi7Hfaa/h8UeMtJvwsLq0/f0kkk9OTuL999/HzMyMaCCsrq4ik8nAbrdjYWEB77//Ps6fPw+32y1ZOx+oy+VCLpcTKfuJiQkhkyQSCSwtLWFxcVHahwB0dF8Qw+REeHYcGAwG6f5g8jU8PCzCzAwnCPNw6AerU4eHh5ienhblGdUAGJaw6ZR9d/T8fOjvvfceBgcHodfrMTQ0hHPnzglkRaI9W3LUYker1RKhE2Li4XBYBg+yIfSzzz6TliKedGcprjSbJ4NqIpGICEGzGMHErdlsor+/X2YHfy1EcnWRrEEPql1qPKjT6QRLfRlrqFsMajabMTo6ij/4gz/AD37wAyG+nD9/HisrK4jFYujr68PMzIwcR4y9Wb83GE4GarANfGhoSHRgAcDn8yEcDmNhYQGpVEq8gsp1JeaqGi1pkaVSSaZsHh4eyiBDdXAe8FytUq8/GRC9u7sLg8GAyclJ+Hy+F1q4id5wAiRlRQGIoYdCIVy9ehXnzp2Tn5NrTMGQbl0NvL/snua9d7vdgkgQERodHcWnn34qYwHogHhyqs2a6mKiWygU5DTb39/H4uKiTBRiZwZV6E/TIuu2XktmlF+e6jPEELthrfzDWPdlIQINXeU6GI1GeL1evPPOO/i93/s9jI2NwWazod1uo6+vT+JYvk5rLDxuKQPUbDZFNEQtjPCz7HY7RkZGJEZj0slQQztchTfZZrNJqZuqLRTHU8MeXhNZWDs7O3JEDwwMCJoAPO/nS6VS2NvbQyQSQSKREOSC5VyLxSJekpuVRQMmUd2MlothGFEZq9UqXAyeNKFQCDMzMwJZcbALC0XdJkty0XiZXCYSCWxubsJut+PcuXN4//33pRtFldU/yzqz4ao34GUS7upFq9qup4UUwHMiDnkLvGmjo6O4fPmyMPcJ+PPIJDlH7XhQFxMdCs6RC6GtJvFnZIOxIqR6XbVBUiUSGQwGmS7Drl9VEUdrvPSiR0dHSCQS+PDDD2W2G8McQnJMytiSToMyGAyiIMTrVnMPbiT1mZ2G1vC+s51K3XBms1ngOvIf2H6USCRwdHSE/f19Ga3VDXdXK6e0lWw2i3K5jHA4jHfffVeKNF9L6w6PYOB5bKsluKg3hgRmlQ96WpjAG+hwOCRBGBgYwOzsLBYWFqQ/TH092ffsYFA5EVquhOrFVcRCxWdphMBzGiFhP2LL3dRj+HObzSYt1sR1tdwFlrRJnm82m1hcXMTPfvYzeL1eXLx4UQhHFC5xOBwiqpLL5bC7uyuIjsvlEg/JTU1+htbjn7ZUSFFb4AGeSykNDAygp6cHoVAI6XRaxt/eu3dPsGwtY40ngMFgEAfAeDqXy8mA7JedCqetMxtuMBgUUopabDjN2/KPWos+bdEQnU4nRkdHMT09jcnJSYyNjQkTCXjOWlLlKdX3ANDRKEkSDj2vitvy91UUQfvAVdXD01ATLm4WVscIP3Ujo6jfI5vN4uHDh5IMDQ0NyYNk7M0ZFNxonC9GWSnePwrnEe5T7/9phvGyZ8PfVWFAQnWU1yLnhKo+Kiri9/sFvTk6OuoIKfi60zbMq9aZDff27dsolUoymINY3cvWqwyWix6DMdXY2JhMqFF7m8jtPD4+Fu0Ain2QBM7slX1WfMCcndZqnWh9sYWbxyFF8WisNC7VK7PgcNp3LRQKWF1dFf20ixcvSqcA35MlaQo/t1otHB8fY3V1FbOzs7DZbJLsDQ4OStt8PB4XCFCn0+H4+FgUymkAhORYGmYxodvGU09FnlqqaIi2rE7jVZl3tVoNoVAIbrdbmgF0upOxUtPT07hy5QqCwSBisRju3LmDWq0mHRicVawKGL7OOrPh/ut//a9FZeWTTz6RjtqzGObLlpq48Gju6+sTogZjHxYwdnd38ejRI2xvb8NgMGBiYqKjjJhMJrG2toa1tTWkUimYzWbMzMzg/Pnz8Hq9Monx0aNHyGQyCIVCuHjxokyFp5GpQiZMipjwaBeNIJFI4PHjx9jZ2cHW1hYKhQKuXbuGUCgkMScLJZlMBnt7e8JDrtfrUlUkPZTcVb/fj6GhITmiWa2iY+DJkslkpGDSbDal80NL7tc6AYZzamKrNV4mzwwrAEjBxe/3I5lMolKpwOv14saNG/j2t78tSuexWAxutxtGoxH7+/swGAyYnZ3FtWvXhMykxt1nWWc23IsXL6JSqSAcDoswG6tTv4nxMsZiPEgvx5+rwf3u7q5M14lGo+jt7cWlS5fESwHA4eEhPv30U9y/f186FlZWVhCJRDA2NoZcLoeHDx9iZWUFlUpFyCbt9gnBnS3oTI5YlCCHlcgGF/9OwsrOzo4o1VgsFgQCATk1CNF98MEHaDab+PLLL5FMJmGxWKTDgO/H706uM2ffct4x+RQ0WiY/uVwOGxsbODg4EDVEoiE8UVgUopxTtVpFIBDA4OAg3G53B6da+5zoHev1ugijMLyx2+24cuUKvvGNb4gQCnASZpLcs7y8DIPBgPPnz8uciq/V4xJ+ASDSQru7u6/9geriTuYNYTatbU3hcXrnzh38/Oc/x+rqKqrVqvze9evXsbCwAKPRKGJ8Ozs7UsNn2HBwcIBWq4XNzU2Bl1h+NZlM4jFarZMBK5FIBJlMRrJ4ts1rFzeWKtZXqVTEuNQEyOl0YmpqSjwtBaXD4XBH0YK/wzCKBmy32+Hz+TqQHTYxUqNtf38fBwcHwtd1Op0YGBjA6Oio6KpxKk4kEkGpVILX68XExAQmJycRCoU6roXPiovcDxLW5+bmcP78edEvDgaDHcm8yWTC+Pg4vF4vrl69Koml2mWtxr1nWa+F47IC5HA4pHL0pkubCJFSGI/HpRCgJlIHBwf44osvsLW1Ja0mrFaVSiV5sEajUTqB1dbw/f39Do4Fvw/plltbW9DpdMjlcqjX69jf38f6+jpSqRRMJhMmJibQ39+P8fHxF0qdxF05z8tisUhpmDRArbL6uXPnUCqVYLFYRAdMVRRXQyg+TCr2qH/obYlWsLOEc3jZ5EhYMBgMSt8YUQ4KpiwvL2NiYgKXLl3C3NycxOda41WLKh6PB263W5oLtONeGXKw2NHX1ycJs4pbi0F2gTW7rTMbrtrjpcZDp2XcZ1ncZeyZAiDZ+NTUlEySzOVyWF5extLSkhzd/H3eBCYMVqtVjJqvYzav0+lEe4DEcVb2iJeSa5pKpWSCOIF6in9oERPGiwAklhsZGXnh4fN+seAxODgosS27DtTJjkBnDqDGqLznrOxRfoobV03myNUgqdvlciEQCMhkHuLVkUgEOzs72NvbQy6Xw82bNxEMBl/AWHl/yb8lh6PbmFPVeJnHEBZTe9P4p1sO0W2d2XDZC8UuBpXy9yZL9VYqLsz2H45Ycrvd2Nvbw5dffikD+NT3UKtfKt1SG5/19PQgGAxienoapVIJZrMZBwcHItfPkiy5qZTwVD0gPRwfGnBiOOzu0Ov1ohg5PT0tE3C6PUxO6WHxgaiKWtXjg+2WsKiQnVpcabVaHSOytKw9GjHpj6qyZaFQQCqVwtramlwbO1zUTcNn1W635X20Rqu+ns+Z94pNBHyWKs7/W++AiEajaDQaOD4+lthJ5aS+ydIyjLgLt7a28Mknn8BkMsHv92NpaQl3796VDaN9D22DnvY1er1e9G8XFhakn8toPBneRwiHM3dJH6TubKvVEuE9xuLAycNgX1oqlYJOp5MJklNTUwgEAh0xnLqheEqwhMyqmDrgQy2iqPdJpV8ScWk2myL8zHDnNOxZxc3JuMtkMoIMsGdN5VmrG5V0VbLztAQe9XvyuVYqFUFSKO7CIoxKg/ytG+6DBw8kG41GowAgMeVZGUMvW2p2fnx8jMXFRRSLRdjtduzv72N/f78rbsw2G2K2jPPUh2YwGBAIBDA7O4uJiQm0Wi2piJGB5fV64ff7ZR6D1+uFx+OR6eDDw8MYGxsTQ+Y8B7K8jo6OAAChUAgDAwPC+FexUeD5CUNsVIX8aAB8f7VdiN6MDxqAlGmbzZNh3QcHByKcAqDDqdBg2ZfH6UkDAwNwOByiEVYoFITcxIKGunHIPUin05L8Mvzi56hhDHOI7e1tPHv2DKurq9jf3++QgFJJO//tv/23M9nLmQ33H/7hH+RI5hdxOBwSc2phsd8k7qXYB5EDkjm6bY5msymMe85iyOfzHXGo0WhEIBDA0NCQoAJsBweAXC4nhsr2e7fbDY/Hg3PnzgkfgUJ6LDYcHh5ic3NTICVq8JIhdlqrvipTRMRAhZnK5bIUMdijpo54oiA0OQlECDY3N7G5uYlarSawndqdoJZhKd7ncDgQDoelUZV9Zz6fD6FQqCP04gkTj8exubmJfD4vDZAsdqjPJZ/PY2VlRQaARyIR5HI5mbLEzaltRDjLOrPh3rt3T5IU0ua8Xq/sFhXC+k2LEmrCptPpXsosa7fbMvXGaDRiZWVFMmmgU1tLpe21222cO3cO9XodyWRSWF3qeCoKWDD+ZRZM77S0tCRNfi6XS0qcVNjmJleLGariDsnqNFxqE0SjUSwuLuLp06cyxJlaaNw8JPvQ2x4dHYmOm8lkwsjIiHw+y/Rk82m1ia1WK7xer7DJ1BZ1NfOnbOnjx49x//59GeJNKQBV9bxQKODhw4f48z//c3z22WcyToshhVZA5KxVVq4zGy6nnXOHDw8PIxAIwGAwdCjEvKq7oVtmrF1qfPSyGjZjNZ3uRKw4n89jZ2dHMmkuxnNqdk+OLcuqfB1JIDQM4q/qUV2tVhGJRPDw4UM8efIEtVoNY2NjIllEFhnw/GhNJBKIRqPIZrNot9vSF+bz+eQ7MuxZWlrChx9+iKWlJREE5PUODQ0Jf7VarSKZTEoDarPZRF9fH4aHhzE7OyuSUkQM1tbWsLOzI61UpG3qdLqOUjO/t1oUolf/8ssv8c///M9YW1uT087hcAiawoExm5ub+Nu//Vt89NFHohNBCEzLQntdowVew3BVwTc+YEIq1Gft1uymxlWq9Lw6v1V70YROeBOZaGhJ61QRDwaDUu49Pj7uiOt4SlD+SU00mNkTzyV5m0mPzWaTv6sknnw+j93dXWxsbMjwPPJ92RfHpIke9MGDB1hcXEQikUBvby/Gx8dx9epV8aCtVkvkUx88eICnT58iGo3KfefxT96w1WoVknmxWBQMmRKtt2/fxvj4uIiiHB0dweVyoV6vY2dnR4yRZfve3t4OCS2eSixw0Gh//vOf48mTJzIRs1wui26ZXn/S5cti0b1790R4j4vVNqPR2NFo+zLaa7d1ZsMl64pHT6vVgsfjgdVqRTwex97e3gvNbvSIXq8XY2Nj0jbO7JIxj2rAqtFS6onJgLYc7HQ6MT8/j4WFBfh8PqnkaUF7ipLkcjmROyL6QG4EyTfkvjYaDfE6pE1y8xQKBYk/KSRnsVgkPACei4yk02ksLi7i448/xtLSkvS+FQoF+P1+hEIhgbESiQRWV1exvr4ujoD3xGw2Y2JiAh988AEuXLgAk8mEg4MDMfpMJoO+vj7Mzs7iypUrHZ0VNIqBgQF4PB4cHR3JRmWoBzxvVwIg4V86ncbOzg4ePHiATz/9FMvLy8hkMnLst1otPHnyBDabTTi2mUwGy8vLMmaAnpuMMVbvCL9R2ORra92hx2JATTbX0NAQFhcXxdup9Xa32413330Xf/iHf4jp6WlpZFxdXcVnn32G+/fvy1wEbg4KewwPD8PlcuHo6KijEsabMDk5iW9+85u4cOEC2u2TGb52u10SKGa8jMV3d3eRy+UE82ToQByXo0p1Ol1HNU47r4xxKqtkdrtdWE6qDhdFke/evYvFxUVpkmQD4fb2NgYHByX7XltbE3ENGoZefzILY35+Hn/yJ3+CDz74AF6vFwAQDofhcrkQDodF5HpychIzMzPC1VU7PVRlHeLRhUIB6XQauVxOErpG42QU2OrqKh48eIAnT55gfX0dsVhM8FcV3js4OMDnn3+OdDqNyclJ9PT0oFarwefzSdxO2uXIyIjMk+O0oWQyKcpFX4vh0nj58Ih/Uq0lFot1aKP29vbi3Llz+O53v4vbt2/D7/eLB5icnMTExAQGBgbw8ccfi1AGAOnGJfzEzJqLR9L09DTm5+cRCARQqVTg8/kQDAalN4oaBYODg6jValhcXJQKWiAQwLlz5xAIBMQw2RdVLBZRKpWknq4l0bfbbSnrNhoNoVXSCJgx7+3t4c6dO3jy5AlisZgkjfT++/v7WF1dRTKZFFml7e1t0e8lcjA1NYV/9a/+Fb7zne8gFApJ0mUymTA7Owufz4d8Pi/GwZ46PqtisYijoyPs7u4ilUrJxuMgFBYhiOEmk0ncv38fn3zyCZ49eyYQI08pNQfh+1NiqVAoYHZ2FiMjIxgYGJDyOwDp8mBjABGJQCDwf6dZkvFRrVaT2rs6cpQYJUfez83NST8Wj3B6HXbQfv755zg4OECtVoPD4ZDQgjtRK5qsVouY3JCNRUEQr9eLkZERhEIhtNttbG1tYXd3V1hhN27cwDvvvCMejHwJzhxLJBIYHh6WHjIVg2Xtv9lsCheYQ/WMRqMoeT969Eg2A08U4CT0SqVSWF5ehtFoRCqVQjQaFR1idj6MjY3he9/7Hr7zne8gGAzKJlM5zIT7+DNm9tT2otd/9OiRqM602yedIdlsFslkEvv7+1KM2NnZwZMnTxCJRDoMlp+rLhovMW2eelevXpXWeBKOSqWSkIFo0IRV1Z67r81wGbSzrEgFQNb51SyYo+rpQVTChsPhwOTkpBzpS0tLSKfTMJvNUoEi71eVqFcTGQoQk2/A5kmr1YqxsTGMjY3BarXi6OgIa2trMlCQnxMMBiUJs1qtHTGwWgTg51IfQp1JXKvVBDFg4kp5TX6eGkeq+lw7OzsincSB19Qdm5iYwLvvvov33ntPYmEuoh+tVuuFni1WONfW1vDpp5/i17/+Nba2toR7q3IfdLqTkbRbW1vSVMpeN61EFpearPLfGUaxesixtLyXauWMdEqGbT6fT/KZs6431lVoNpuCDep0OonzaLg8Siniq8JaKruITZHAyVHCCpnL5erAQVXkgRU8Pph8Pi+eguEKBxyPj48LCWVtbQ16/Ykkfjabxf7+PiKRCAYGBmTizMTEhIwSJcSjxvZMzDiGSRVyVo9SGrkq+sECDo2MUyTVVn+DwSDNibOzsxIK8egnxs1whokbW3iIoT569Ah/8Rd/gc8++wzxeLxDXFD9o0KOKmnoNLSHPWgsWFAsjwbtcDgwODgoiTvfk9cfj8cFdy8Wi6Ic6fF44HK5vl7DBSAQUq1WE1Vur9cryYkqc9QtflFJInxQ5LMypiV01a2Zjm3ed+/eRTweh8lkEh0qqhLyvwTSL1y4IAkSa+NMNiwWCwYHB+FwOER9nFpfZJCxWqaWLlk9YrLDB6hioPy+PHF4jDPcUtv8+T2JhjC8oiERmmKHh9vtxtjYmLThV6tVbG1t4ac//Sk+/PBDAf619/5VrL5u/0Ya4+zsLAYGBpBOp7G6uop4PI5GoyFq6BwDq8JqLGpw9nChUEC1WpXT9ms3XD4AAKJW2NvbK4kRvQzjrOPjY5HCVx+M9v0Iw3DObLValcKAqvOq4n3qLGG9Xi/QDhv7aJBq3z6raNFoVMq4JGhbLBaJhwm5EY9laHL//n189dVX2NjYQCaTeWFcFh+wilqo7eqMB1kkUf/wJGNvVjqdRjqdhtvtlp/v7OxIh0c+n8fAwABu3ryJy5cvw+v1IpfL4c6dO/jyyy+RSqW6Craoq5tXPY2NZrVaMTU1hR/+8IeYnp5GIpHARx99hDt37sgMNYaG2tZ4FeJkMYjxLQWjKTF1lvVaRHL+l3FLNptFOp2WmNLtdksTIx92LBZDPB5HpVI59cLoSZLJJKLRKDKZjNDlAIiBqVCTiinTW9F4GOMxcWKZl2XT0dFRkbXs7+8Xr8z4VkvhKxaLiMfj+PLLL/GrX/0Ka2trwnVVwwN1Y/J9VEiKSabKEONm4v1lGHR0dITl5WURpyZefvfuXdy9exeHh4doNpvY398X7zU+Po5cLofFxUUkk8muOgdqO5Q2BONJQXiQcSs5FU6nE+Pj45ifn8f4+DhGRkbQbp/M2Nja2oLH45FqXbfOCbbbDwwMyPw6hpNavYtXrdfSVVBveL1+Mir04OCgozuCADwTm52dHSwuLmJ6erpDBE41jnq93lGUKBQKwgPt6emRPje25mjbnGk8PJb5b2pNX40v+/r6MDAwgEwmI02J9OrqzeP712o1rK6uShGBcylUlEHrudgNyzED6hA/tYhCEQ/qazF0YGtRKpXC4uIiDAYDYrEYtre3O8Zi1Wo1PHv2DFarVUKyQqHQEZao10NvVywWO5ouubFJRuIYsHg8jmw2i1arJWJ6NO6enh5MTk7iypUrsFgsQkqio9AuQqQk8LBowut81enwRoZLOh93MVlC7LblfC1VvojH4scffywt4MQhVeOoVquIx+M4ODiQQSJk13POBI8h3sh8Pi/yP2Rb8dqo+9qtFYYxNeMuPjCtbpm6isUilpeXsbGxIUarVvnUjgwaCYkrFotF5Dp5KjB2NxqN8Hg86O/vh8FgEMV2Vd0ylUphY2NDiiKqeCBjb86EoI5ZOBxGOByWTcCkiZoVVqsVOzs7WF5elmHVFosFY2NjuHXrFi5evAin04lkMomnT59icXERqVQKVqtVigahUAhWqxVWqxXDw8NoNBpwuVxSreu21FORxg9AvuvrrDMbrnrT6TnoJfX6EwnNQqGA4+NjmRHBhIZGbDab8Ud/9Efw+XwvdBAcHR1Jxtlut2UncrTp2NgYstmsQExsTSmVStJ6wriRzYEMTbQeUQXQ+X20R71a4k0kEkKXVBNGnh5qCMCiQSgUkkohcVyVtWYwnOjZ3rx5ExcuXEC5XMa9e/eQy+UEigKehxNM9NTjnR7bbrcjGAwK8Ymc4pWVFWSzWcGDFxYWMDIyAp1Oh/X1dTidTqyvr6PRaGBgYAC3bt3CjRs3ZCOxS5rPjyfj9va2PBdisTzZVIqrFgmqVCqIRqNYXV3F3t6e0FZZA1BnOv/WDJceQ71xKvSTSqVQq9WEpcVji0ft48eP8T/+x/9AvV7HD37wgw5wOp1Od8wIYzLDY5zq2uVyWWIil8vVMeuLDYOVSkUwXKPRiGq1KnAY8JytdXR0hIODAzSbJ1KXw8PDEp7w+7FVaXNzUzolePwTd2w0GlIypewSO2Y5zNlisSCTyXR4a6vVikuXLuGP//iPMTk5KQrez54962hlYcLGwoKaa3CDXL58Gbdv38bCwgJcLheazSamp6elWsfCDDnCtVpNMOvx8XHodDqMjIxgZmZGxsMSDeL8CdoA+RQGg0G8eiQSwdHRkfA+WBljxZH3cX19Hb/61a/wxRdfCBKUyWSkLEyJgd+q4aoFAPVnrAhRgkedrqh6tnK5jKdPn+K///f/jr29PXzve9/rGHvKig4TAZUTqnJQqVIDQOAuZrEctFGpVNDX1yeKh3zwjcbJ+KLt7W08fPhQ2twHBwfF81E2iaSb5eVl3LlzB5lMBmazGW63G0NDQxgbG4PH40GhUMDa2pqEEerxPzg4KIrl29vbAsWxN+073/kOrl27JlUyyqJq6aE0UpZLidsGAgHMzc3h2rVrmJmZgcfjkeOXInXkPKheu1KpCJtraGgIJpNJ4CjGp4y3c7mcFCRIhuFzZps81SSbzSY2Nzexu7uLS5cuIRAIoN1uS8jxxRdfYGlpSZ6JyWQSRl8mk5EK5m/VcE+jnbHDVQvCaxe94sbGBv7n//yfuHPnDs6fPw+Xy4V0Oi2lWMImnEvApEn1OEw0XC4XBgcHBcOkYZKfyjFGJJWkUilsbm5iaWlJhl8zhPnkk09w4cIFXLhwAeFwGO12WyiGKysrIuA8PT2NGzduiPI5JzcSTQGes6FY+qbiCxMos9mMhYUFUXJRRfO009yZzc/NzeH69esiSs3XM3cgM00NdcxmcwfcxiKKwWCQyia1DVRKI71tJpPBwcGB6Euw4MG2JfITyPDiBn3y5AmCwaBQRjOZjIR2NHxuSJaDOc3+t2643RaPspdl19rVaDSQTCbx5ZdfYnl5GU6nUxK/VqslGCi9ilZNmw+GyQ3hLgLbxFUPDw9xcHAgHaUcaJdKpSSU4alA5cD19XV8+OGHAuewGMIQoK+vD4ODg5iensbg4KB4L62oBTskotGoUAOpvmg2m+Hz+TA3N4dgMNhhbEajsUPmibnDtWvX8JOf/ATXrl2Dz+fruCdapUUubayufUY8yrXkbhp3Pp+XUnAsFpM5Gao3ZlxKOI4Gyd9lWKOGmKqNEAblRonH42e2vTc2XN4o3jQ1Y3zV4gOnTDzpg5zqoiaA2lIp5zKwRVylGpLttLy8LPpirMZ1m3DOxWtn/KvecG5OdZ4E42DW3xnXE1oijMTwhgQaVoq40RjbtVotOTLJoGo0GvB4PLh+/Tp+/OMf4+rVq1KC7mag2r/z+tUNpfa78b7yNKMDUgkzhCeZLGpPXcJ83XSS1dd2g8a0912lrZ5lvTFXgRkt+5T4EE4zjG5LJTKrvw+cwG/UyaUaDPkP5HeaTCYJ/BuNhrTT3Lt3T6Qv1XLsq04E9QF3W8fHx9jZ2cHGxoYIbCwvL0v5lUepXq+XB07SCq9Fp9OJOuOjR49kaMezZ8/w9OlTAM8J3xcuXMD777+PhYUF0Rbj/dc+j5d9J3VzE18H0HGSEUHhlPiDgwPs7e2JPpz2c+hFTwsNtUutuPL3tdf/tdEaVS/LGJMxWrFYlLlY/KL8cqrhaJd6jLCBjnEPDZTlWBoumVw0+ng8jmg0iidPnuDBgwfY2dmRI77bEfUmi8D+8vKyiOMxjo7H4x20RR595AmoG1qv1yORSODzzz/H4eEh7Ha7UClLpRJMJhP6+/uxsLCAmzdvCumHRR4tx0AlymjvK6+7VqsJlZBenzRClVHGWPPg4ECSSXJpGZ6onAt67ZdtHLWzmHE4y9eqF1eZg2dZZzZc1WgJB3HEELsH7Ha7AMkGg0HIFATHtceJuuilabwcVUTRCbLIqENgsViQz+dF1+DRo0e4f/8+dnd3pfWmG7HnTY2XsB7pi6weqr1zXIy1+XvqCcQjeW9vT7QY6LVYKGD3Ah+0Shnk+/FZqBAZ31+9p9xAOzs7EkNS+EQt7TK82d3dxfr6ugyHITypzmUDnms2MOZVi1NcZP8RQx4eHkZPTw+KxaLkG7SN0wRMTluvbbjqDiKVDoCosKi9YuwCWF9fl4f7sqa4brHY+vq6zOvy+/1CqWPVK5PJIJFICKSmtpaoCZ2aoLzOkaS9PsbKaoKhveEve3+1TK0SbQBIQSMajSISiSAWi8Hj8UjSytOI2gcUH2TlT92YPPozmQweP34sElZsXT9//jxGR0dht9tRr9cRjUaxsrKCp0+fYnt7G7FYDMfHx5KQcQ6vWrJnyZmOSzvk0OFw4J133sEf//Ef48aNGzJkhTJMiURCGj5JrDrreiN2mJo5U/uAbSPED1lJ44NgZt3tqNM+WC4SXDY2NvDgwQPBBin7Qyod8WQaAjeYqlvAhLAbm+t11sti4Nd5j26fTWNOJpNYWVkRmihn56ZSKWlAJHd4ZGREZrqpiRu9bTQaxb179/DZZ5+JBP/q6iqi0agMhqnX69Ilsbq6ilQqJdk+wwq1cRR4XlYnTk0PSoEYq9WK2dlZ/Omf/im+853vIBAIvKAzQT4yZaO+1lm+jJlY2qWRcPTn0NAQvF4vQqEQjo+PO9p1uFQGlQqMdwslyJnd3t7G0dERJiYmxMPQ8/f19ckJwCOHnt/n88Fut8uRmUwmTxWE67bUpOI3jZNftegl+X31ej329/dhNBqRyWRk8/f19WF8fBzNZlOgOHpeVf+Bxn5wcCBtQYQj6e3m5+fR29uLzc1NrK2tiV4uQxfOc2OoxPDAbrfD7XZLCGAwGMSL5nI5mM1mnD9/Hrdu3XpBL5fPh42mXq+3IzE/y3rtUIG1eTUm0el0UocPh8MiMsH4R8VM1RiJ8Bf1uxjTaj1as9lEOp2WGVuMzdhp6/V6MTg4KDMdyHEYHBzEwMCAEF0IowHouCZ6AS09UaX5AZCY9us2XnICVldXRYyaxBsewSaTCYODgwgEAgAgG5elXJ3u+dxglrt5/UQX6PVCoZB02hJ1YPEEgPyXfBA+czZrXrlyBS6XS0IHVk+ZTHeTTmVsTpjTZrN9PagCSd0qxsoHzR2eTqexubkpurac56rGnXw9tQh4zNHwmZypmwKAQEYstxLvpWTo0NCQlCgpKUrvz3Alm80KRY9GoNIwSdihcbMgwBq6Oi386zRe7ammbiwaUTabFeVMVYeLSbPX6xVuBdvYE4mEhDqseEUiEZlAqdX/Ajp75Pg5zWZTFIzoMYl8qDbC61UJ5dqlOsSvJTmbn58XYJokbfWY5c04ODjAnTt3EIvFUKvVsLm5KTiraozdWnJUkroa5DOgf/LkCcrlMkZGRmQiIYk0VqtV2tDtdjtCoZBQ79ipQfY9r8Fut0tvVKVSweHhoUwNpzdX6YnUO1CLI9qHwPvRbanVrVc9KIZO3fBnoi5k42WzWRweHiKRSMBsNmNychLnz59HIBCAxWLB6OgohoeHpWtXPfqpuOh2u3F8fIxkMinHNq+X3FvGoNxYnEXB56QSgNR2I+31nwafvQxW064zG+5//I//EbFYDPfv38f9+/cRi8VeiBEZj25ubuLo6EiqSNrpPLxASory70yutLALjz3GuQ8ePIDb7UYoFBJNByYODocDPp8P/f39CIVCsNlscsN5FBJSCwQCsgkajQbW1tbEi5OqyNCF3F7yMrSJhIpgqOVV9Turm/U041dXt/ibToJGR2I95zkAkO/I0QHhcBgTExNYXV3tKCiwvKvTnXRcs5OFz0TbAWE2mzva1Y+Pj7G7uysVv26wHO1Cu2m5tCf4Wdt3zmy4f/AHf4B8Po+pqSmYTCZ88skn0h6iNV5VTE0bUqhHA7N89UFrS8n8cjQWdvSSlxsKhRAOh6UFXmWTUTa03W4Lc99oNCIajQotb2xsTOLEdruN5eVliTPpKdLpNHw+H3w+nygf8qEDL/aY0eC7SUsR9D9NN63b0iIx9Jbk+KrwIccARKNRoSja7XYZ+ByJRDo+WxVpVmmq/MN7ziqp1WqV1xwfH+Phw4eYmpqC1WqVzmzVINWES21R4mfn83lp7yoWi/jhD394Jns8s+FS1p7zc9mUx7KmelPV9hTeeBUHVqs1WhI34041O9YSqPm79AYMD3i0t1onQswqiE8iD1vBKRJH2XwSu5nAqRuOsXE4HMa5c+cES2VcTsmoQCAAp9OJWq2GWCyGZDL5woxbfodXVZzU+9YNJyZPolAoSCdCX1+fFIDYFeFyuaR5lOOuVB6zKtRNeFMN1Vh143ck/FitVpHP5/Ho0SP52ZUrV+D1egX2UpN4LVZdqVSwt7eHjz/+GJ9//jn29va+HsPlUezz+XDr1i3E43Ekk0msrq52xE3qTVdvPg1SNdrTigEqBHVa0YBYIJXI2TlhMJwMO/H7/ZidnRX8kJ6HsA1LrAwtyInlSCwVbSBgrtPpBPdkiZdYstfrxfz8PKanp2EymbC9vY179+5hc3NTvKK2+KLGgS9b2riYZKB4PA6fzyeq4qyAsdpGLq0KYTEBoyNgXsLB0GoizftfrZ7MEebJwnCIlcSPP/5YEr0bN27IQEL1O/PamdRtb2/jr/7qr/DTn/5UFIC+FlSBBkii9I0bN7C8vIxsNot4PN6VaM7fI3itFg54M7UehR6ZN/dllS4+xEqlIhBMu32iFm6z2TA7O9vR41av14U9Fo1GRXiNYnH0KqpijGoozWYTXq8XjUYD+/v7SKfTksSw6+LGjRvw+XxIJpMiual6XRoqQX0Vfur2/boVaOhxE4kE9vb2hCrJpk9W2CgK7XA4RP5IjTVpfJlMRlTctYgJN2+1WkWxWJQTieEJ2WEk8cdiMVy+fFnCFDosiv21221pa/+Hf/gH6bZ+3aLOa6s1ApBGxrm5Oezu7grlT41rVIILMVs+LJJjtBmzipueluSoi8kOjyVCNRS4++ijj0TNBgBSqRSePXuGjY0NpNNpGAwGmXlAfVgSvtUmSBpKuVyWYos6+4LJh9/vx8jIiCSH9Xodjx8/RjQalXiY5VO/3y+SqxSi6/bwTjNe6pwdHBzI0Wy324Utx41GmKvdPlGRUU9HGiXfj/e82/0mTKl2aHAT1esno7e2t7dl0OHY2Jh0FKv4Mrsk7t27Jx0hb1LFPLPhkivJo5NejRpR/HBCZpQnUrtbeVSore7c4azS0LjVpK3b4vswm+UDoCGlUil89tlnmJyclAw7Eolgd3dXjkUA2N/fx+effw673Y6ZmRlpzzk6OuqIq2u1GtLptHBvWX3jRm21WpIYsot4dnYWFy9exOPHjwUxoUDdzZs3ce7cOcRiMREYYXypLjVs0ibCLFQAJ8UB9puxv433niceQ4luMbPqicn8UpNlLb6rMsR4qgKdipeUXWIXCAn6kUhEBA7fFA8/s+FubW11JAUE9DnTiw1ymUwGW1tbePLkiSABqtoiQXHKIlFinT8zm83S+t7tJvOmqf357XZbdi/js3r9ZDrkr371K/T392NgYACxWOwFIelyuYzd3V188cUX8t5ut1tok9w4zWYTsVgMa2trIjStHvFq9wIREZ/Ph+vXr+PDDz+UUVdOpxOXLl3CD3/4Q0xOTqJSqeD8+fP427/9Wzx69Eh697RIBIAOJpaKxXL2AxNQtVCgGhYN7TRnoEVz1GvgiUQRajobAEL4CQaDklMcHh52tPRQvdPhcAi8yWvi9byOEZ/ZcP/8z/+8A4IBTuhxU1NTmJyclOa7XC4nXNVIJIJkMikPmEcqe6w47KKvrw9+v18INBycl81mu95cSsbPzs5ienoajUYDi4uLUhalpy6Xy1hfX8fi4qKgA9pkgUjD+vo6rFYrhoaGRMeB6INaGVxdXRUYhzecHkU7i5e9Zbdu3RIu7OTkJD744ANcvnxZJgCRKK/T6fDw4UMp8PC7soWJUJzqqRinEobkz7THL7kHatLMf1c3CAcUqt3OrJ5xAzUaDQnnbDYb+vv7hfBjNptldAB71Xhakw7r8/mEqsr4/2sLFX76059KMN5un2g+zc/P4+LFiwgGg/B4PELwZtMcYyv1GGclhoZLRe3x8XEMDQ2hp6cHGxsbgtNqFz9jZGQEN2/exMLCAprNE0EL6jIQO2T3we7uLgKBQAeHgovxXSaTEeENzoZgNzGNnXEjPR0Ny2KxCDKheiyDwYD+/n58//vfF42Jy5cv48aNGxLj6nQ6BINB3LhxQ0jpPKnUe8VCikpGUsMGxqj8f+1SN5l6/Kse2Wq1dugyMARjPsI8gt/d6XRienoaV69exezsrCi/Ly8vC9qkTmNixzFzAIrIqCfbWdeZDXd3d7fjiKD3NZvNsNlsIinJC2PVijeSRqtySultA4EAhoeHRb6nt7cXi4uLMrtX9Qzsep2ensbFixcxNTUlD2ZxcRH7+/uyuWhgrOuTn9At2anX66LvEAgEZFPx6KXB0PgBSClU1QFmrMfXWCwWXLp0SYQ1RkdHMTg4KCEFcHLU+v1+zMzMYHBwEEdHR7L5TCaT6LKxYKPyKbTf42VL9bYqEZz5BSVCJyYm4PP5JJFm0yjRByoXTU5O4vbt27h8+bIoNBK79fv9HcUMfm673YbL5cL8/LxsBOpNvM46s+EStAaet2PU63V5eGoMZbVapWVaPZL4Rei5eXyRHUTFPlbDVCqc+rkejwejo6PSm6XT6eT/1Y5b4LmIHDswtB6XiwZ6fHws8XdfX1/HkA+eHkx2+BpOk9SWPYHn0px8UPyOqmdWv5fH4+kgbPOYZiFFnWb+OktrtKqRq4o4HC7i9/slSVanAnHjulwujI2NYXJyEoFAQBwXsX52xmiXyWRCMBjE3Nyc6KFtbGx02NdZ1pkNVxszsbqkVsPUQgMhJu1NVnehNgmhMbBYoMrk86arjC2ymhhrkXSj/Tw18z/NcFVoh+3oqnIhN4NakqZyi9vtFn0C7eI19/X1odlsdiRv6mv4fmo3A9AJEdKQX4eMor0W7f1UP4OfzziXXlm9B3x9b2+vdGCovWsqXbWb4fLE5DwQxruv+5107TfFI96ut+v/4Xr9M+fterv+f7DeGu7b9Tu53hru2/U7ud4a7tv1O7neGu7b9Tu53hru2/U7ud4a7tv1O7neGu7b9Tu53hru2/U7uf4/2tAdNL7uqC8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 7\n",
      "\tJ = -2.0837e+00\n",
      "\tbeta = 7.00\n",
      "\tgrad_norm = 8.6697e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 8\n",
      "\tJ = -1.9858e+00\n",
      "\tbeta = 8.00\n",
      "\tgrad_norm = 1.6983e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 9\n",
      "\tJ = -1.9865e+00\n",
      "\tbeta = 9.00\n",
      "\tgrad_norm = 9.4289e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 10\n",
      "\tJ = -1.9091e+00\n",
      "\tbeta = 10.00\n",
      "\tgrad_norm = 9.4493e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 11\n",
      "\tJ = -1.8067e+00\n",
      "\tbeta = 11.00\n",
      "\tgrad_norm = 1.1012e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 12\n",
      "\tJ = -1.7523e+00\n",
      "\tbeta = 12.00\n",
      "\tgrad_norm = 1.0648e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 13\n",
      "\tJ = -1.7420e+00\n",
      "\tbeta = 13.00\n",
      "\tgrad_norm = 1.5391e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 14\n",
      "\tJ = -1.6389e+00\n",
      "\tbeta = 14.00\n",
      "\tgrad_norm = 7.9687e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 15\n",
      "\tJ = -1.6051e+00\n",
      "\tbeta = 15.00\n",
      "\tgrad_norm = 1.4281e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAZ9tJREFUeJztvXd4VNX2Pv6e6WmT3kOAJEAKoSUQepUmvSm9ihfEytWr6FVRFBCvFxALxYaiwjWASodIJ0iAUBISIIX0OumT6XPW74/knG8mM5NMQgD9/Hif5zzwZE7Ze5919l57lXcxRER4jMf4m0HwqBvwGI/RGjwW3Mf4W+Kx4D7G3xKPBfcx/pZ4LLiP8bfEY8F9jL8lHgvuY/wt8VhwH+NviceC+xh/S9gsuAzDmBxCoRD//ve/YTQaH2T7/nJgWRa3bt3CyJEjIZVKzcaluWPmzJnQaDRW769Wq/HWW2/BwcEBAoGgxfdvi8Pe3h7z5s3Dnj17sHLlSri5uT20Z9sKUWtfoFAohK+vb4se9n8FFRUVyM/Ph8FgaPG1zs7OEAqFVn/X6/UoLi6GwWDAo/LGa7VaXLx4EWq1Gvn5+VCr1Y+kHU3BZsFlGIYfSIZhEBgYiJiYmP9fCm5BQQEKCwvBsmyLrhOJROjZs6dVwSUiKBQK3Lx5E3q9vi2a2iqwLIt79+6hoKAALMtCq9U+srZYg82C27NnT6hUKuj1evj5+WHp0qXo2rXr/y8FV6PRWF3uJRIJ7O3todfrodFoeFWKYRh06tQJQ4cOtTpmLMvi7NmzSE1NbdVsyy23Lf2grLXlrzjTcrBZcGNjY6HX62E0GuHs7AxPT0+IRK3WNP62YBgGAQEBsLe3NxNeb29vLFu2DCNHjoROp8OlS5dw8eJFZGdnw8vLC8899xyCg4MtCi4RISMjA1u3boVSqWxxuyQSCfr06YOuXbvi7t27+PPPP6FSqVrdz788yEawLGty/P8VLMtSWVkZPf300yQUCgkAASBfX1/69ttvSaVS8WNkNBqppqaG8vPzSaFQkF6vNxs77tx79+7RtGnTTO5p6yEUCmnhwoWUlZVFarWaiouL6bPPPiNfX98W3+tBHjKZjCIiIqhHjx7k6Oho8RxbYfuZ/wfACZNGoyGtVtvqj5BlWUpPT6eVK1fSkCFD6KmnnqJDhw7x92zu2saCfejQIRoyZEirhBYAdevWje7cucM/m2VZ0mq19M0335Czs/MjF1gAFBwcTDt27KCsrCzKycmhLVu2kIeHx/89wW3rWZ1lWaqurqadO3fS1KlTaf78+XT27FkyGAytFl6NRkNlZWWkVCrJaDTadB+WZUmtVlNiYiJ9+umn9OSTT5Kbm1urBUIgENCaNWtIr9db7O/ChQuJYZhHKrRRUVF07tw5fqxZliWlUkkrV64kkUj0aAW3sSrRWmFgWZYMBgPpdDqbhcGW+yqVSlq1ahW/RDEMQ1FRUZSRkdHkM9pSPWJZlnQ6HW3bto2CgoLMXlprDldXV7p48aLF9rEsS3FxceTi4vJIBFYgENCwYcPo2rVrZDQazdp28+ZN6tKly6MTXG7Zq62tpfLyctJoNC1+2ZzApqen06effkqrVq2i48eP27T82nLvPXv2kFwuNxkke3t72rNnj9X7c7OqUqls9czc+H4lJSXUv3//NhOOAQMGUHFxsdVnlpSU0NChQx+YcAqFQpLJZGRnZ0cSiYREIhFJJBIKCAig559/njIzM62Om0ajoY8//thEnbEVbWoWUKlUKCoqgqurK7y9vZs0tHOgerOPTqdDfHw81qxZg4sXL8JgMOC3337DN998gz59+rS6TUSEqqoq7NixA9XV1Sa/GY1G6HQ6i9exLIubN2/i888/R0lJCWbOnImpU6dCKpVafY5Wq4VCoYCDgwOcnZ0hEJg7JkUiEcRicav70xBOTk6YNWsW3NzcrJ7j6uqK8ePHIz4+3mpfWwqhUIiOHTti0KBB6Nu3L3x8fCASiaBWq6FSqWBvb4/g4GCEhoby3kVLkEgkmDt3LkpKSrBv3z6Ul5fb3oiWzRnWwbIsqVQqys/Pp9LSUos7aEvXcDrflStXaOzYsSQWi/mvz87OjrZv3262zDS+R1OqBcuydP78eXJ3dzebLby8vOjPP/+0eE1hYSENHTqUBAIBAaDAwEC6fPmy1SW5srKS1q9fT/369aP58+dTWlqaxfsaDAbavn07eXl5kVAoJLFYTB4eHhQWFkaRkZEUFBRErq6uJJVKSSwWk52dHfn6+lL37t1p8ODBNGTIEOrfvz+NGTOGPvvsM6qsrGxW1cnKyqKxY8eSRCJp9czKMAyJRCLq2LEjrVq1ilJSUkw2uNaO5t6/0WikoqIiOnjwIH366adNnt8QbTrjymQyeHt7A4DF2cYSWJaFXq+HWq2GnZ0d7O3tUVNTA4Zh4Ovri44dO1r9YokI1dXViIuLQ3p6OiIjIxETEwNXV1f+Gm7mrKmpMbs+Ojoa4eHhFu8dHx+Py5cv88b8goICJCcnIyoqyuxco9GIn376CWvXrkV1dTWuXr0KPz8/rF692mSGZhgGAoEAs2bNgru7O27evAlfX19ERkYiMDAQYrEYSqUShYWFUCgU0Gq1cHR0hJ+fH/z8/ODg4ACGYWA0GiESiSCVSvl4BmtgGAbt2rXDp59+ij179iA+Ph75+fkoKChARUWFRbc1wzCQyWTw8fGBv78/PDw84OnpibCwMAwdOhQRERH8qnE/DijuWi8vLzzxxBMt8xbaLOI2oiWbmYabMaVSScnJybRt2zZasWIFvfDCC7Rv3z6qra21ei+tVkvbtm0jPz8/kkgk5OHhQVOnTqX9+/dTfn4+KZVKKioqopUrV5JUKjWZQezs7Oirr76yOJuzLEvbtm0zmf3FYjH98MMPFmfRu3fvUnh4uMn9w8PDKTs726rd1mg0kl6v51eJ1hwtfSd6vZ6qqqooMzOTYmNjacKECeTo6MhbHRiGIUdHRxo5ciR99dVXlJKSQpWVlaRWq0mn05lYBdoSDcfEVjxyc1jjl2EwGEir1ZJWqzV5qZauy87Opj59+piYexiGIWdnZxo0aBC9/PLL9NFHH9Hs2bPJ09PT5Dxvb2+Ki4uzeu+TJ0+Sl5cXf37Hjh3p2rVrZucbjUbatGmTmYXAzs6OvvnmGzIYDA9s7FqKhuOs0+koKSmJFi5cSD4+PuTg4EAdOnSgd955h3JyckyEtK0Ftam22YpHLrithdFopP3795tZChoe3O42JiaGunTpQjKZzMSi8Oqrr1JJSYnZoHHms3feeYeCg4MpNDSUPvvsM1Kr1WbtqK2tpSlTplh8fnR0NF29epV0Ot19mwrbGtwMfOvWLXrnnXdo5syZtGXLFiouLm62jQ+iHy2dcRmivx+TDRFBrVbjn//8J7Zv395kUIlAIICzszOkUikqKipMIp0cHR0xduxYvPLKK+jduzeEQiGvd3HPyM7OhlAoRGBgoMUdclVVFaZNm4Y//vjD4rMjIiIwadIkhIaGwsHBAd7e3ggLC4Ozs/MjD1AiIhiNRpSWlkKhUMDb2xseHh5WY2OpbqJDVVUVNBoN5HI57O3tAdyfrktEYFkWKpUKTk5ONl/0t4PRaKSLFy9S+/btbd4RC4VCix4khmEoJCSEjh49atFI3tzsotVq6aWXXmrSXSsUCkkqlZK9vT0FBgbSpk2bSKPRPIyhahbcTNdQh7UGo9FIN2/epAULFtCAAQPopZdesmg9aU0bKioq6MSJEzZf87cTXJZlKS8vjyZPnsybqu73YBiGZs2aRbW1ta1qz927d2ny5Mkkl8ttcq8+8cQTpFAo7msMjEYjabVaEzXkfu5nyz1qampoyZIl/KZVIpHQzJkzqbS09L6ff+/ePXr//fdtvuZvFZdIRFCpVNiyZQuOHDnSJnGnHPR6fatjYENCQvDNN9/g4sWLOHHiBI4ePYqMjAyr5p3WZE5woHoV5vTp0zhz5gzEYjHGjx+PqKgoiESiVi3Ztl5TXFyM06dP8/3S6XQ4dOgQxowZg7lz55o4nKh++ddoNCAi2NnZNWm6k8vl6Natm+2NbvVn8gjAsiwlJCRQQEBAm7otvby86H//+1+LNgeW2saydVFZ6enp9Prrr1t0ejAMQ8uWLWuVqsBtqL7++mvy8/MjoVBIIpGIwsLC6OTJk1bbfz+mtIZITk4mb29vsz4NHDiQd+1yR1VVFcXGxtLChQtp4cKFFBcXZ9Upxa0gSqXS5rb87QT3l19+ITs7uxapAS4uLtSxY0fy9vYmmUxGQqGQhEIh2dvbU69evejHH38ktVrdZrtklmWptraWdu3aRSEhISYqjb+/P508ebJVz2JZlsrLy2n48OFmfRwzZgxvIWl8jUajoeTkZDp+/DhlZWVZ1WWbE/D8/HyKjo62aL2ZN28eXb16lfLz8+ns2bO0cOFCcnNzI4FAQEKhkPr379+kPtzSD+pvpSoAQIcOHeDp6YmcnJxmzxWLxejbty+WL1+OyMhIaDQapKWlISsrCwKBAGFhYYiKioKPj0+zHqiWgGEY2NnZ4amnnkJISAi2bt2KhIQEODs749lnn0W/fv1afW9u990QRISzZ88iNjYWzzzzjElmSllZGb7++mt88803KCsrQ0REBDZs2IDevXub9Jfq1aSKigoUFBTA0dERvr6+kEgkfJ88PT0xc+ZMJCcnm2R/6HQ67N69G2fPnoWTkxNvpWiYAZ6amor09HQEBwdbHbMWwWYR/wuAZeviGr788ksKDg428Wyh0Qzk5uZGK1asoLt375oZ041GY5POjbZsL8uyVFNTQ1lZWVRQUMBvploLtVpNy5cvt7gxDQ4Opl9//ZWqq6uptraWrl69SrNmzSJ7e3v+HIFAQBMnTqTy8nIz23VmZibNmTOHOnToQBEREfTee+9RWVkZfx7L1kW3zZ8/v8UhmYGBgVbDL1uDRy64jQXJlvM1Gg0lJSXR559/TosWLaK+ffuSr68vyeVy8vb2prFjx9Ivv/xCVVVVfwljf1vCaDTSqVOnKDAw0OIH6+vrSxMnTqRp06ZRUFCQRTOdq6srnTp1ykQgdTodvfbaayaTgZOTE23bts1Ed2bZuqCdSZMm2ZSxwTAMubu70+rVq6m6uvr/juAajUbKz8+nu3fvtij2lhN4jUZDhYWFdPnyZTp8+DCdP3+eiouL2yR+9q8Izqv3n//8x8Ql3ZJDLBbTpk2beIFkWZYUCgVFRUWZnTt//nzS6XRmbUhNTaX+/fs3af6Ty+U0btw42rt3b5tPIo9cxzUajbh79y6Ki4vh6ekJZ2dnm67jvDtSqRTe3t58VFrD320BWTGBPWqvFgdL7bOzs8OiRYsgFArx0UcfoaioqMX3rKiogNFo5KP4WJY1My8KBAL4+/ubRfoxDIPOnTtj9erVWLRoEfLz801+5/YWL7zwAoYPH85H67XlmD5ywRUKhQgODoaPjw/s7OxadY/WDAjVuy/Ly8uRlpaG2tpaeHp6okOHDk26Hdti8BsKY1P3o3qXbEFBAdLT08GyLNq3b4+AgADI5XLMnz8fubm5+Oyzz1oUJC4Wi836KJfLMXz4cNy6dQs6nQ4MwyA8PBwzZsywGKLKMAwGDRqElStX4sMPP0RFRQUfijp//nwsW7YMAQEBNoe3thSPXHAZhoG/vz+IqE139s2BZVmcP38ea9aswfXr16HVauHi4oJu3bph8uTJGDRoEHx8fCAUCsGyLBiGgUQigUQiua/Zg+oN80ajEUKhsMk+GwwGHDx4EB999BHu3r0LAAgJCcHKlSsxYcIEODk5YdiwYfj++++hUCiafK5YLIadnR3s7OwQEhJiEofM9e2ll16CSCTC5cuXERgYiGeffdaqU4Bb7ZYuXQpvb2+cPn0a7u7uGDduHKKjoyGTyR7ou/xbBtk0BtcFIrJJqIgIycnJmDNnDpKSksx+l8lk6NixI4KDg2Fvbw+dTgeWZeHu7o5u3bqhZ8+eCA4Ohru7O2960uv1MBgMEIvFJmR4jZ9bWVmJ/fv3IzExEd27d8fkyZP5wJbG5964cQOzZs3C7du3+b8zDIPo6Gh89dVX6Ny5M+Lj4zF37lwUFhZa7KtEIsGgQYMwY8YMdOjQASKRCDKZDB06dICXl5eJt42IoNPpoNFoIJVK+SD45lYFlmVhMBggEAha7b1rKR75jHu/4AY7JSUF9+7dQ7du3RAUFNTkElVbW4uNGzfi1q1bFn/XaDRITU01ERjuoxAIBHB0dERgYCDat28PNzc3GI1GVFZWQqVSwdXVFWPGjMHUqVN5lkPueo1Gg40bN+LTTz9FdXU17OzscOrUKaxduxbt27c3eeE6nQ4///wz0tLSzPp779495OTkIDg4uElXtVAoxIwZM7B+/Xr4+fnx9zcYDDwrEeem5T40blXh/tYcuDFpyTVtgjbb5j0ENLS7cv8vLy+nzZs3U+fOncnFxYWmTZtGhYWFVnewer2evv32W3JycmpTt3HDQyaT0YIFC0zaYTQa6dChQ2aWAKFQSJMmTTLJlmBZltLS0qhr164W7x8dHU3Jycmk1WopPj6e2rVrZ/G88PBwunXrlsVx02q1pFAoSKFQtCor+1HjLy+4Dc1eNTU1pFQqSaVSUUVFBV26dImWLFliEkzu7u5O8fHxFl+CTqej/fv3t3msg6VDKpXSqlWrqKamhoxGIxUXF9P48eMtmo+EQiHNmDGD7t69SzqdjmpqauiTTz4xcRwAdc6DsLAw+vXXX3lHRm5urkUzlkwmo48//tgq7ZNOp6OEhARat24dbd68mc6ePUulpaVNuoONRuMDS9/hnmErHrqqQI2WtaYSIYkIZWVlSExMxI0bN1BbWwtHR0cQEW7fvo1z584hKyvLJNrKGtE0y7I4duwYXnzxReTl5bVdh6xAq9Xihx9+QHR0NKKjo/HLL7/g7NmzFpd1o9GI/fv3Iz8/H5MmTeLVBC7oXSQSISAgAOPHj8czzzyDiIgIfon39PREnz59cP36db7vAoEAQ4cOxezZs02C4xsjOTkZn3/+OcrLyyGXy9G7d28sWbIETzzxBOzt7U3UHK1Wi6ysLCgUCnTq1Amenp5tZmExGo1QKBQoLy+3mrxq6cKHAu4rra2tpby8PMrKyiKFQkFqtdosYdBgMFBxcTH9/PPP9OSTT5KnpyfZ29uTo6Mjubm5kbOzs1WXY1BQkMVgjoKCgjYl4rDlEIvFNGLECFq+fDl16NCh2VhdhmFIKpWSg4MDicViEolE5OvrSy+++CIlJiZaXNJZlqVLly5R7969yd7enpydnWncuHF0/fr1JmdGvV5PGzduNElnYhiGfHx86D//+Q+f9s6pFQkJCfTMM8/QlClT6NixY2aUT62VidraWvruu+9o4MCB5O/vb/O1D3XGVSgU2Lt3Lw4ePIjy8nK4uroiKCgIoaGhCAoKgpOTE2pqanDt2jUcP34cV65cgUqlMrN7UhOGkA4dOphsijgUFRUhMzPzgfXNEliWRWJiIhITE1FVVdVsvC/Vz2zcTOvs7IznnnsOL7zwAuRyOQDLK1SvXr3w7bff4vr163BxcUGfPn3g4eFh9Xygblb28PAw2cQSEYqKirB582aEhIRgzJgxPNFHbm4uFAoFnJyc4O7u3ib2WZZlceDAAbz22msoLS1t0bU2C25j4WkJqH5HfejQIWzcuBH37t3jl3eGYXh2F6FQCIPBAJ1O1+pga1dXV8hkMrO/e3t7IygoqMVeJq6Nbm5u6NSpExiGwe3bt1FRUdHkNQKBAEKhELW1ta0OUvf29sakSZMgl8utjjnD1NXjCA8PR1hYmMl5zfEt9OjRA56ensjOzjb5TaFQ4Pbt2xgxYgTP39CzZ084OjrCw8PD7DkNwfWT88I1ZaeuqKjA9u3bWyy03INswu3btyk/P79VcassW5dKPnPmTHJwcGg1e6BUKiUvLy+T5a3xMWHCBKqpqTFrg8FgoKNHj1JUVBQ5OTmRo6Mj+fj4UGRkJEVFRVFAQIBFpheRSERDhgyhI0eOUFlZGSkUCvr+++/Jz8/PahucnJyoQ4cO5OPjYzWCzZZj1KhRVFFR8cA2Qmq1ml5++WWzNnp4eFBsbKxJWhDHFtTc5oyLhjt37hydPXvWaowCy7KUmJhIrq6uJs+2FTaf2blzZxowYACtW7euSXOTJXDmnaeeeorkcnmrcsVkMhnNnTuXfvzxR3r22WfJwcHB4nm9e/e2SALHDX5OTg4dOnSIfvvtN7p+/ToVFhZSSUkJ3bx5k9auXUs9evQgJycnsre3p4CAAFq5ciVlZ2eb6OEajYbefvtts+gogUBAoaGhtH79evrll19o9uzZTX5kHMWSJX1dJpPRunXrzAJcGvbnfrMa2PpcrwkTJpBUKiWGYUgmk9G8efOoqKjIojWiuecYDAY6cuQIxcTEULdu3ejLL7/kya4b3+vIkSNmRC22wuYzuRfj5eVF27ZtszqglsClcvzwww80bNgwcnNza1E8p0AgoGnTplFeXh7p9XoqKiqiefPmWfwA/P39KS0trcm2WDt0Oh3l5eXRsWPHKDY2lpKSkqwOempqqglFJsMw1Lt3bzpz5gyp1WrSaDR09OhRqzZWNzc3evbZZ2nbtm301ltvUf/+/cnV1ZVkMhm5uLjQzJkzLTLhcM/nTGwJCQl0586dJhl/mns3ubm5tGHDBpozZw69//77lJmZ2eo0Jo1GQ6tWrSI7OzsSCoUUGhpK586dsziGx44dM/uwbUWLBBeoI9J49913LZJjWAM30BUVFRQXF0cvvPAC9ejRg7y8vMjR0ZGkUqnV2E6GYahHjx4mu2SWZenatWsUFBRkdr5cLqcrV660enm1dRbT6/W0detW8vf3J7lcTsOHD6dLly6ZLKUVFRX0zDPPmC3Fjo6O9Pbbb5NCoeCZe4qLi+n8+fP0448/0vHjx/nMWWuCm56eTnPmzKHAwEAKDQ2lV199lRe41qhyOp2OlErlfdO6arVak7hekUhE//jHP6impsbMGnLr1i0zlctW2HymSCQiOzs7ioqKori4uBZTC3EvQa1W0+3bt+n777+ntWvX0oYNG+i///0vvfvuu7Rw4UKKiYnhBdrFxYVGjBhBZ8+eNXshOp2O1q1bZ5ET7MyZMw/cC8SydeyUCQkJdOzYMcrPzzdrI8uylJycTBMmTCC5XE4ymYz8/PzojTfe4BljGo+PLR+NTqejjz/+2ERdkkgkNH78+GaJqh80DAYD7dq1y4TztmPHjhazH2pra+mll14yeYe2wuYzp0yZQq+88gr98ccf97UsGQwGKioqotOnT9O5c+eouLiYtFot6fV6UqvVVFJSQikpKXTu3Dm6dOkSFRcXW6UPzc/Pp2HDhpls9hwcHCwuTQ8CzQkat9Lk5eXRr7/+St9++y1duHDhvjIBONvnokWLzFQliURCb775ZpuQYbcWLMtSTk4ODRs2jG+fVCqlN99802xjz7IsFRQU0Lvvvku9e/emdu3a2fwcmwW3qKiIqqqq7iuzgGXrovd/+uknmjlzJr3wwguUnJzcKgYZojr///Hjx02qywQGBtLt27f/Un53rh9tkefGrVqvvvqqRYtF//79zWbzhwluctq9ezefys6pezdu3LDoQNFqtVRUVETp6ek2P6fF5aLuB5xJKjQ0lCQSCTk6OtLixYtJoVC0egZXq9X0/vvvk7OzM9nZ2dHzzz/fovz8vyMMBgMdPnzY4savd+/elJ+f/0g/XJatC35auHAhSSQSYhiG7O3t6bXXXmuzvLP7dvk2nBmby56trq42swY4OjrSzp07W72L5Uw6L730Er344ot09+7dRz7btsVH3tz9Kysr6e233yY3NzdeVRKJRLRo0SKzjdCjgNFopN9++438/PyIYRg+kXPXrl02sdU3h/ty+VK9l6S0tJSvoOjh4YE+ffqgQ4cOZgEeGo0GGRkZJrlNSqUSe/bswaRJk2zON2v8fAcHB0yePBkBAQFNMpg/aFADrxERmcS6tuT6hrB0LcMwkMvlWLFiBRwcHPDzzz+jsLAQHTp0wKxZs1qdAtVSNNVepr4ErLe3NwoLC3l38vr16xEaGopevXrd17PvO1bh7t27+Ne//oVTp07xkfO9evXC+++/j4EDB5q4/GQyGXx9fS3eo7KyskWCS/V+/Zs3b+Lo0aMwGo1YtGjRA8txaq4tQF2UV0lJCW7cuAG1Wo3o6GgEBAS0SHCrqqpQXl4OZ2dnuLq6Nuky9fLywooVKzBixAikp6fDz88PvXr1eqgpUHq9HjqdjnfbN3w29zdufIgIKSkp2LhxI7Zu3cqXBmgNWi24VB9/8J///AeHDh3iQ+r0ej0uXLiAL774Aj169OCDQ4D/NzMeP37cpCaDs7MzH0Fv67NzcnKwefNm7N27F8XFxXB2dkanTp3Qrl07m6r9tBZUH27ZMBhGIBDwQnvmzBkcP36cX1U8PT1tyr9i6yuWb9u2DVeuXEHnzp3x3HPPmYQwNgR3PwcHB/Tq1Qvdu3cHgAfad0ttrqysxO3bt6HRaBAUFAQ/Pz9IpVKwLAuFQoGqqiqza44dO4Y///wTI0aMaPWz72vGLS4uxsWLF81iYI1GIzIyMlBTU2MiuAzDYOLEibh27Rq++uorKJVKODk54emnn+ajmZoDEaG4uBgvv/wyDhw4wD+7tLQUBw4cwOTJk+Ho6Hg/3Wry2VqtFomJiTh8+DBycnLg4OCALl26ICwsDE5OTnzcrFgsRpcuXWwumVVeXo4tW7Zg586dUCqVuHLlCoRCIT788MMmSaAbzm6N76nX61FeXo6ysjIQEZydneHm5sYXPbF0r5bOgNXV1Th//jyuX78OHx8fDB8+HJGRkSAinDhxwmJQU1lZGfbv34/BgwdDLBa3ata9b1WBq+fVUG8VCoXo1KmTidACdQPj5OSE1atXY9CgQUhKSkJYWBhGjx7dokrscXFxOHbsmMkHQ0S4efMmqqqqHojgcjMtlw5+7NgxqNVqODk54YknnkB0dDTCwsJgZ2fHC4BAIOAFhOpz1izBaDTiwIED+Omnn1BZWQmgTvc/f/48CgoKmlWhGt+Xm+1++ukn7N27Fzk5OSAi+Pn5YdiwYZg0aRI6deoEmUwGIoLBYOAr7bQ0d0yv1yMrKwuXL1/m6U9DQ0MhEAhw6dIls9py3FicPHkSWVlZ6NSpk03PaYz7Cmv08fHBa6+9hm3btiE5ORnV1dUQi8Xo2bMnXnrpJYsCxDAMHB0dMWnSJEycONFEmbcFLMsiIyPDIo+ARqNpWcmhVkAqlcLLywtyuRwSiQRhYWGYPn06evbsydPKN4ZOp4NOp4NUKjWbYYgIBQUF+Oabb0xSzImIJ49rKaieBG/9+vUoLi7m/56bm4vk5GRcu3YN8+bNQ+fOnaHValFYWIja2loEBAQgMjIS7u7uTaon3DNYlkVFRQXS0tJQXFwMrVaL0tJSpKamgmEYGAwGq+Gc2dnZOHjwIFasWMGn/LcENgtuVlYWpFIp5HI5T9IrlUoxfvx4DB48GFlZWSgoKIBUKkV4eDh8fHysLj0tFdaGEAgECAkJgUQigVqtNvmtOTKP+wHXVj8/P7z88ssYPHgw1Go1unbtii5dulhM5eaW6+PHj+PAgQPw9/fHnDlzEBwcbHLenTt3kJycbPaSNRoNamtrW9Xe0tJSfvZuiNraWr7KZKdOnVBeXo6MjAxUVlbC1dUVI0eOxJQpU3jrjFqthl6vh52dHZydnXl9nerZcE6fPo2UlBSewBmATYTbGo0G//vf/zBo0CB079695XXTbLWb9erVi0aNGkWbNm0ycRg0FW31IMC5CceMGWMSmCOXy2nbtm0PvDwT1zeDwdBsSSWWraPZj46O5qtIjh8/ngoKCkzG78cff7QYCyyXy+ngwYOtCpo5duyY1eLTAoGAnJycyN3dnezt7fn6GAKBgJydnalfv360cOFCeuqpp6hv374UERFB/fr1oyVLltC3335LV69epaSkJPryyy8pLCys1SUN7O3taeHChZSYmEhKpbJFEYctig4TiUQ0YMAAunPnziM1cBuNRrp16xYtWbKEIiIiqE+fPrRp06Y2ZQNsCxiNRvruu+9MsnWlUil99913JoRzu3fvtui+dXNzo9OnT7dKcIuKimjEiBFWhYZzClj6TSgUkkQisRhvLJfLqVevXjR69GgKDg6+7wrwbm5uNGfOHDp8+HCLXL4t3px5eHiYbboeNhiGQVhYGLZs2YLq6mqIRCI4Ozs3mdH6KMCyLDIzM81IkC9evIjZs2fzGzdrOp6zszPatWvX4ucy9STMixYtQkJCgsVysNREKpHRaLSYLc2yLKqrq3Hjxg2IRCIYDAarWdW2oqKiAr/99hvu3LmDiIgIfPfddzZdZ7O13sXFBT169MDixYvh7u5+3wJC9bt0tp4lsKmBbAxOd5bJZPDy8oKbm9tDo/5pKRrnm1F9yn3DF95QP2yIyMhIMxZKW8EwDJ544on7qjxvDVzV+fsVWqBuPJRKJRITE7F7926br7N5xt24cSMiIyMRERHRrOmKewlNJdRpNBokJSUhOTkZcrkcvXr1QkBAQIvsen9FQW0IhmF4foKGgqnVavkdN2claSwEYrEYI0aM4M1rHLj7UDM8aQzDwMXFBWFhYTh16lSbVihq2I62AsuyJsUTm4PNgjt37lzenWcLCZo1ywERoaamBps3b8b27duhUCggEonQqVMnLF68GNOnT4enp+dDdVs+KHCrQuN+qFQqaLVaODg4oLq6GvHx8WaC5ezsjD59+pgJrVqtxq1bt1BRUYGIiAj4+vpaJdirqqpCdnZ2mwsZ17em7tuQd/eBoEVavw3g6JKs1TrQ6/X01VdfWdzxurq60rJlyyg1NbVNCs+1Bi2JnW3OgmIwGGjdunVmm5xu3bpRSkoKn5dmqQRTaGioSVIql3GxceNGCg4OJg8PDxo9ejRduHDBJNqKa095eTl98MEHD4QjTSKRkJ2dndXNnbu7O82YMYPmzZtnEitty2Er2lxwWbauFpelgHOWZam0tJSeeOIJqw339vam1atXU05OTpuEv7W07Vwb4+Pj6c6dOxY/QE6wa2pqqKysjGpra80EnWXrsoFffPFFsxfs5eVFP/74I6WmptLixYst5tsNHTrUJM2eZVmKi4sjf39/k11+165d6ccff+RZgSorK+ns2bM0e/ZscnR0bHOhlcvlNGzYMBo+fLjFj8LT05O2b99O5eXlVFVVRd999x15eHi0ueA+ECabpvzzNTU1VgkgGtJVajQaGAwGCIXCJt2lbY3i4mKsWbMGR48ehYeHB55//nlMmzbNJFRQpVLh0KFD+Pnnn1FQUIAOHTpg/PjxGDVqlAk7TGlpKRISEsyW1NraWiQkJEClUuHy5ctm+i3DMAgKCjIJPNJqtfjll19MeHBZlkVycjJWrFiBiIgI+Pn5obCwEHfu3EFZWVmLl2mhUAgHBwdQfQXPhu1iGAZ+fn5YtmwZpkyZApVKhU2bNmHfvn281UQul+Nf//oX5s6dy5OyzJgxA7du3cKmTZtMvJpCoRAymQwikQh6vR56vb5F7W1zwW1OwBwdHdGrVy9kZGTw9bqEQiHkcjl69uyJqVOnYuTIkXztMZZlIRAImhVeTjiMRiPPbs4JkC1CT/Veru+//x7ff/89lEol7t27hzfeeAMVFRWYM2cOnJycUFZWhq1bt+KLL77gg1cuX76Mw4cPo2/fvliyZAn69esHlmXx/fffIzk52exZHMsN96E21he5WI+GE0BtbS2uXbtm8eVWVlbiwoULzfaxKchkMsyaNQtPP/00AOD8+fP4448/kJGRAaFQiKioKCxfvhxDhgyBvb09WJbF6tWrIZfLcezYMUgkEsyfPx9Lly410evt7OzwwgsvID09nY8vad++PSZMmIDBgwfDxcWF18XLyspsbu9DZSTnhCM5ORmHDh1CdnY2HB0d0blzZ3Tv3h0hISFwdXXlTVtUv9Gj+qBsaxtDqjepnDp1CvHx8aitrUVQUBD69OmDiIgIODk5Wd0sNmQkTElJwYwZM5Cammpyjo+PD+8GvXDhAv744w8olUqzdjAMA1dXVxOqJktu1x49euCTTz5BUFAQfvrpJ3zyyScoLy/nf5fL5fjqq68wbdo0k9l79OjRuHbtWssG3UYMGzYMO3fuREBAAIA68ufy8nIUFRXxRUxcXFz4d0D15syqqipkZWVBIpGgY8eOFq0gRISsrCwcP34cRIQBAwagc+fOvJu84Xk2h2W2UA28b3DJcVVVVVRVVWXG1tj4XKVSSRkZGVRQUGCV61WhUNCLL75Irq6uJBAIiGEYEovF5O/vT9OmTaPPP/+c9u/fT/v27aP9+/fTxYsXqayszMRlW11dTf/85z8terC4nCknJyebans1dTg7O9PWrVtJpVLxGc///Oc/eX2R48C9evWqSV+VSiXNnTu31fRVTR0CgYBWrVplkYGxuQ2orW5+bu/DvcP73bs8EsG1lSDYaDTS1atXaenSpfTMM8/Q6dOnTTZL3Eewbt06MxLkhi/FwcGBXFxcSC6Xk5OTE/n6+tKIESNo8+bNdOnSJUpMTKS1a9eSp6dnmwtFw0MkEtGzzz7L84FxR35+Pq1cuZLatWtHPj4+9Oyzz5pRIBmNRjp8+HCLSamFQqFVmqeG7fr000/vqwj3w8Yjm3HVanWzqe41NTX0yiuv8Gw3ffr0oXPnzpkIfVJSEoWEhLRKkCQSCfn5+VHHjh2tcpFxM+79Ci3DMNS/f3+LyZwsW0eD9Nlnn9Ebb7xBJ06cMKN+4lafTZs2UWBgYLMzP8MwFBISQqtXr6Z9+/bR22+/TT4+PhbPlUqlFBsb+5eK82gOD1VwOaFNSkriSeessT+yLEs3btyg4OBgk9lj9OjRlJGRQUajkbRaLf3nP/8xY7Npy6OpYJSWHAEBAXTs2DGrs5rBYKCSkhJKS0vjqZksCXhJSQl99tlnFB0dbZX5UiQS0ciRI+nPP//kVyjOBmyp8ryvry/PefB3wUMX3NTUVHrqqaeoQ4cOFBMTQ99//71VYrlvvvnGLNzPwcGBNmzYwNtQLTG6/NUE197enjZs2EAajabJseHYfLRarQl7T8NQypqaGrp58yZ98sknNHz4cHJzczOZfR0dHWnBggWUmZlpZlcuLi6mESNGmPRHIBDQggULLFKz/pXxUBnJtVot9uzZg4MHD0KlUiE7OxtFRUXw9PTEqFGjzHajSUlJZpkOarUaiYmJUKlUfM2uB2njJRuNLlyqTuOAIaFQiAkTJmDRokXNJoRydcK457L1hfw0Gg2qqqpQUlKCwsJCKBQKEBFfPC8jIwNarRYBAQGYM2cO5s6daxYIxTAMPDw88OqrryI9PR05OTkQCATo3r07XnrpJTg4OLR0aNoEXD85Mm9bEwEemuBSfV79r7/+yttvqT5bd+vWrejbty9cXFz489n6vClLcHV1hZ2dHaRSKaKjo7Fz507+no8KTk5OCA4OBsuyKCgoQE1NDV8c75133rEpoo4TeIPBgOrqamRkZODy5cu4evUqMjIyUFpaCq1WC6lUCk9PT7Rv3x4RERGIiYlBhw4d0K9fP3Tu3NlqmCTDMBgxYgS2bduG/fv3w8nJCbNnz7ZaPfJBgupNo9euXcPvv/+O27dvQ6lU4tixYzZdb7PgFhcXQygU8hUHOVtrSzgDrl+/joyMDLO/X7hwAXfu3DELKrGUP+bk5IQRI0bA3t4eAoEAMTEx8PDwQE5Ojq1d4SESiSAQCGAwGO4rGKShV6lz584oLi5GUVERPDw8MHjwYPj7+1u9lhNWLrxTp9MhPz8f+/btw549e5CWlga1Wm3SPoZh+JoMo0aNwtixY9GtWzfeXt1UxJhIJMKoUaMwfPhwnoaf++1hgohw6tQprFixAvfu3Wvx+NssuBMmTIBEIoFcLoe/vz969eqFfv368WVDuWWSC9cTiUQmxmS9Xs9ngjYGl7sUHR3Nu3j1er1ZvhXDMBgwYACGDh3KG+Z9fX3Rvn37FgmuSCSCv78/YmJiAACnT59GSUlJs9dQfWmjxuCELyQkBDExMfxH3TDCzZrjhLsnN3ZcgZcvvvgCBQUFFl8o1UeJ5eXlIT8/H66urnB0dLRpIuF+53K8HhW0Wi12796NzMzMVkWv2Sy4ly9f5v/PMAx27tzJ59GPGTMG7du3R2VlJe7cuQOlUonw8HD069cPHh4eEAqFKCsrw40bNyy+eKPRiN9//x3Tp09Hx44dAdSx29y5c8fkPHd3dyxfvpwvIw/UuSqbyxJo+DIFAgH8/Pzw3HPPYeLEiSguLkZeXh5KS0utDmBDz9G9e/csplyXlJQgOzsbAwcO5PXUpuKRuX5rtVro9XowDAO9Xo+UlBTs37/fqtA2hFarRXl5ebPFrP+KICLU1ta2OuSyVTouNyPm5uZi165dOHDgADw8PKDValFZWQm9Xg9nZ2cMHz6cz2q9dOkSkpKSrDb0ypUreP311zF9+nTodDrs2rXLpLwTwzDo378/Bg4caPKChEIh3NzczLgdGv7O/cb9LpFI4OXlBWdnZ9TW1jY7+0ilUkydOhVPPvkk4uLisGPHDhMXLQBUVVXh8OHDGDduXJPF67jNSE1NDQoLC6FSqeDi4gK5XA6VSoXExESkpaXZtHQKhUJ4eno+8lSq1kAqlSIqKgq//vprqygF7ntzZjQaUV5ezpdP4gRTpVIhNjYWly9fRqdOnZCbm2u1wjdQl4u1f/9+HDlyhI+Gb7w7j4yMNOMu4HgaGgouwzAQi8V8Kr1SqUR1dTW/LOfl5WHv3r28sFRVVTUZGO3t7Y2pU6eiT58+6N69O5RKJbZt22ZW0fLMmTOIi4vDU089ZZb/xt27pqYGiYmJiIuLw7179+Dn54fhw4ejc+fOKC0txZUrVyzGQTTus0wmQ+fOnTF58mS4u7s3ef5fEQKBAFOnTsXevXtx5cqVFs+8bWZVsPRgrVaLtLQ0Xo9pLkeJZVmr1gEiQl5eHmpqauDm5mbyPC8vLzg5OUGpVPKUSNwOu6qqCnv37sX169f58zUaDc6cOQMiQpcuXSCTySCVSi3q3wzD8ME6YrEYHh4eWLx4MY4dO4b09HSTcxUKBb744gtER0ebMLRwbc3Ly8Onn36KvXv3oqSkBEQEb29vVFZWIiYmBnfu3EFCQkKzNd7s7e0xYMAALFy4EGPGjIFUKrWqQ1vDo1YruNDNtWvX4o033kBSUlLLZl5bDb54QAb+lhy+vr70ySefUHFxMe9Z0mg0FBcXRwsWLKB58+bRt99+S+np6VRdXU0qlYpycnLoH//4h5kjQyAQUKdOnejf//43ffLJJzRv3jzq0qWLWWS/t7c37d+/n+drYNk6KvvFixdbdExIpVJ6/fXXSalUmhj/FQoFLVu2zMy1LBQKyd3dnUJCQsjDw8MmZ4qPjw+tX7+eioqKrBYr4byUCoWC8vLyKDs7m7Kzsyk3N5cUCgVPt/8ovWWc0yU5OZk++OADmj17ts3X/q0El2EYcnd3p7lz59LJkyepvLyclEolFRUVUVpaGhUXF5uk/LBsHWP5Rx99ZFaWiGEY6t69Ox09epRKS0uptLSUkpKSaPv27TR16lTq0qULdevWjT766COzInNGo5F27dplNbCnXbt2dOLECf7j0ul0tHPnTnJzc2uyb7aOg729Pc2fP5/S09MtupC5LI4vv/ySJk+eTH379qWoqCjq0aMHRUVF0ZgxY+jDDz+k27dvP/QsE0tt5caoJd67v5XgcodYLKZu3brRzp07qbS0lDQajcVwOW5G3rBhg5ngCoVCmj59OhUUFJiEVRoMBqqoqKCUlBRKTk7mizE3HuxLly5RYGCgxfYJBAIaN24c3b59m1QqFd26dYuGDh3apiGJLi4u9NZbb5m1j1sR1q5dy8/gjZ/LMAzZ2dnR4MGD6fjx4w+k2MmDns3/loIL1AWSTJo0idLS0qwKLTfzLF682CysTyaT0fvvv28xyIe7tqk44eTkZIqIiLDaPplMRhMnTqT//Oc/9NRTT1mdne/ncHd3p2+//dYkjpZlWbp+/bpJ8UBrh0AgoC5dutBPP/3UqlK3TeGx4DZxhIWFUXx8PGm1Wp7Lizt0Oh2VlJTQ119/TR07djS71tXVlX744QerS2XDGbihAHN/O3/+fLPhlCKRiBwdHe+rnm9zR8+ePU1CJQ0GA3355Zc2R8wxDEN+fn60bdu2NhXeBy24NlsVxGIx7+H5q6CsrAwpKSno0KEDb+bi4gRKS0uRmJiI8+fPIz8/3+xagUBg1X5L9btxtVqN8vJysCwLJycnnqVSpVIhKSmp2QrqBoOhWdPW/eLWrVs4evQoli9fDpFIBJ1OhytXrlikYbUEqqc5ffvttyEUCjFv3rxWky03xIO2WtgsuO+99x4yMzNx9uxZZGZmNmuyeRioqqrCnj17cO/ePWRlZeHatWsoKSnhvVF6vd6qCY5LPnzyySct8vjqdDqeebympgZBQUHo1q0bvLy8UFBQgD/++KPVFKBtCZ1Oh5MnT2L+/PmQy+XQ6/UoLi5usV20pKQE77zzDpydnTF58mSLPGwN7/mozWk2qwparZYqKyvp1KlTNHr06Ae6/Nl6MPXVvp2cnFrcHi5DYN++fSamIU63zc3NpRdffJE6dOhAnp6eFBwcTKNGjaKlS5fS9OnTKTAw8IHGAbfk6NGjB1+wWqlU0owZM1p9r5CQEPrjjz+sVvNsTa3gB4EWBZJzdreLFy9Sv379Wp04aGmn+ygOgUBA3bp1o8OHD5NGo+EFV6/XU0JCAg0dOpTP15JIJOTk5EQ+Pj7k5eX1QLMuWnq0b9+ekpOT+bZ/8MEHTb6bpoLjGYahwYMH84Hojd//o7b9cmhRbSUuDI6jyg8JCeFDA7kg6KZYEzkSuICAALi7uz+S0k4NwdYTaqxatQonT57k3cwGgwEVFRUoLy/n1Q0uWk2hUKCiouKBU/a3BFVVVTwngVAo5PkKrEEsFlutdERESEhIwJEjR3iOCg5c9NkjVxPQAprRhhCLxRg6dCgWLVqEHj16oEOHDujRowdGjx6N0aNHIyIiAnK53IQLQSKRwN/fHxMnTsSyZcswYsQIqzUiHubAcMK7Zs0aXLx4EbW1tVCpVMjPz0dlZSX/8qg+OMZgMNx3/G5rIBaLrQaIK5VKXL9+nW9TcHAwQkJCrN5LJpOhe/fuCA4OtshjoNVqkZCQYPMGjwM3TtzxIGHz5kyr1fIzKxHBwcEBTzzxBMRiMUpKStCuXTsEBwdDJBLhzp07OH36NFJTU6HRaCCXyxEaGoohQ4agT58+fGzA+fPnUVNTw3eSm40NBgPy8vJaPHCthdFoxJUrV/Dhhx9i6dKlkMvlOHXqFMrLyy2+gAfxUqwF+TAMg4CAAEybNg0eHh44fvw4/vzzT5OxMRgM+PnnnzF69GiEhIRALBbDzc3N6rMMBgMcHR3h4OCA7Oxss/gQorrCKTqdzqYqlVy7uQ0xt/I2rDjExWlzFov7nZxsFtzXX38dfn5+6Nq1K0JCQnjTkJeXF/R6PR8EzTAMdDod2rdvj8DAQLRv3x7h4eHo2LEj3N3dIRKJoFAooFAoTAZMJpNh+PDhWLx4MYqLi/Hxxx+bhDW2FNxMYiv5sF6vx9mzZ5GVlQVnZ2dkZ2c3azVoyILTGohEIvj5+SEyMhKenp7Iz8/HjRs3TGKDPTw88Oabb2LOnDk8TdJ7772Hn3/+2URduXLlClatWoXnn38earW6yUg8jUaDxMRESKVSqypPZWUl1Gp1s6WqqJ7rODU1FQkJCaiqqkJoaCiio6P52nVlZWWIj49HZWUlhg0bxsdc34/w2iy4W7ZsgUgkgqenJwYPHsxnISQmJiI5ORkVFRV8ch/LsnBwcMCAAQPQt29fhIeH80mNWq0WmZmZiIuL40MNgTq7anBwMLp164bS0lJ4eHi0SnA5PdrFxQU6nQ4VFRU2m+70ej0yMjKa5X7lnsOV/OQYum0VYIZh4OzsjLFjx2L58uXo3r07pFIpXxHn888/x8WLFwEAkyZNwvTp03m1qmPHjvjggw9QWFiIuLg4kzy133//HdevX4erq2uTY8eyLIqKisAwjFWVp7CwEPn5+fDx8bHK20ZEqKysxA8//IAdO3bwXLx+fn6YNGkSxo0bB7FYjGPHjuGXX36BWq3miytaK61lK2wW3Ib5UEeOHIFCoYCDgwNu3ryJgoIC/sVxneSWimnTpkEikfApORzT4a1bt8zo5OPi4uDp6YnKykpkZ2e3qkNOTk7o1q0bPD09kZ6ejtra2hbbnG0VQJlMhoCAAAiFQhQUFKCysrJJ3ZdjKPTx8cGMGTOwfPlyk1q/EokETz75JCIjI7F3717k5uZixowZcHV1BfD/1ImAgAC8++67uHv3rsk4GY1G3Lt3D3l5ec32oTk9lCvv2qVLF4sZwCzL8mGa33zzjQlHWlpaGnbs2IH4+HjI5XKkpqaioKCAn+iUSiUvuFwbuPbYyh3WqnhclUqFvLw8MAyDgoICk+IcXCP0ej3S09ORnJyMfv36Aagb2NTUVBw5csRMr2JZFqmpqVi3bh2fU9VS2NnZYcCAARgzZgyqqqpQWFjI6+VtvZkSCARwcXFBTEwM2rdvj/T0dFy+fBnFxcU8PSqXdyeTyeDq6gpfX1+0a9cO3bt3x9ixY+Hv729R3wsMDMSzzz6LsrIys0LUnPD26dMHzz33HFavXm02VkajkS972tp9gkajwZ49eyCVStGlSxdeNSSqY5RPSkrC77//jsuXL5tR4HMzcUJCAsRiMW+Z4QqecOoJ1cdol5aWIikpCbm5uViyZIlN7WuV4HIZBrW1tU2ahZRKJU6ePImJEyfC29sbxcXF+P77780yfTmwLNtqbxTHEfCPf/wDXbp0QWpqKuLj4yEWi00ykjnLwP1m9drZ2SE0NBSjRo1CaGgotFotsrKyUFZWBplMBnd3dzg5OUEsFkMmk8HBwYFnJ+QC0i3liXGC6eDgYJWHgVvRFi5ciPPnz+PQoUMm/ZFIJOjUqRNcXFyQn5+P0tJSaDQa/pzGZi5LICKkpqZizZo1/ETEXceZB5tbybjNGtdm7l+u8AkR4d69e9i6dSsOHDgAhULxYAWXqyqpVCqbHACWZXHu3Dls2bIFXbt2xZkzZ7B///4HYi3w8PDA0qVLMXToUD6Fvk+fPsjNzUVtbS06duyI7t27Qy6XIy8vD1evXuVViabAxTRw6o5IJIJcLke3bt3w9NNPY/DgwXw9427duvHnWLJRc7trbudtDZzwCoVC/iNrLOQMU1cS6q233kJOTg6SkpLAsixEIhGCgoKwdOlS9OnTByqVCrm5uSgqKoJSqURNTQ2uX7+OhIQEq31nGAZSqRRE5hWCWgtO4LOzs3Hnzh24ubnBaDTi2rVrOHv2LAoKCh5M8ZKGMBqNqKysbFZwAaC8vBxbt261aYZuCtwsz32xDZ8rFosxbtw4jB8/nk8cDAgIwMyZM+Hm5gadToeBAwciLCwMMpkMRqMRJSUlOHr0KHbs2IGkpCSz2UMoFMLV1RXdunVD//79ERQUBCcnJ0ilUri6uiIgIACenp6QyWRWK5FbgkgkMimR1dTOmur5Z5l63l1L8QNRUVHYsGEDPv74Y9y+fRuurq6YPXs2pkyZAi8vLxOTFCc8BQUF+PDDD/HDDz+YvQ+BQIBOnTohJiYGOTk5uHTpUqvUNkswGo24c+cOtm3bBqBOJZJIJAgPD4dOp0NVVZXN97KZ2Lnx125nZweDwfBQbK1isRh9+/bFxIkTIZFIcO7cOZw7dw7l5eUQiUTo168f/vvf/yIyMtKknUajkZ9V7O3tzWY5o9GI9PR0fPXVVzh48CDKysogEong4+OD6OhojBgxAn369IG3tzef12WJJ6ElZh1ug1pbW8t7r6zt2GtqarBv3z6kp6djxIgR6Nu3rxnlFDeLZ2dnIzk5GVKpFN26dYO3t7dFsg9OgG/fvo1Zs2bh5s2b/G8CgQCDBg3Ce++9h4iICGRnZ+O9997DkSNH2jSoys7ODoMGDcKyZcsQFhYGrVaLsrIyqFQqjB8/3rab2OobxiPyw0skEpo7dy5lZGTwxMDl5eV04sQJeu+992j9+vV08+ZNq6TPzfnX2Xomw8zMTLp8+TLduHGDcnNzqaamxiRAvS3jVPPz8+nQoUM866S18y5fvkxRUVHk5OREnTp1og0bNlB5ebnV4BetVksajaZZ7mEuVeazzz4zIZTu168fJSYm8tdzpWcnTpzY5rEZbm5utHHjRqqqquKL3bSkDvNfVnCFQiF5eHjQc889R/n5+WbMg9yLasxs2Fo0FvIHFUhiNBrp+PHj9OSTT9LKlSspLy/P4vP0ej19+umnJpkTTk5O9Morr5gUAbfW/ubAsiyVlZXRqlWrqGfPnvT0009TYmKi2YfERcq9//77FBYWZlK0+n7er0wmo08++cRqWbHm8JcTXAcHBxo4cCC98cYbdPToUYs5X39XcJm3b775Jjk6OpKzszO98sorVFZWZtZHjUZDb7zxhlnKkYODA7333ntmWcSt+ei4MMjs7GyqqKhocvbXaDSUmppKO3fupFdffZXGjx9PAQEB91U5fdeuXa1mQf9LCa5UKqWXXnqJ7t27ZxJm+H8FLMtSTU0NjR8/np+xHB0d6Z133jERRCIinU5Hn3/+ucVaYu3ataN9+/bx9TMMBgNpNBpSqVQtLmzY0lnaYDCQWq2moqIiio2NpYiIiFbNvoGBgZSYmNjq9/to4wobwd/fH/Pnz0f79u3NNkN/B1Cj6CiyEjTDWRSAOlv3559/jv3795vYV4VCIUaOHIlx48bxhHYcSkpK8NNPP+HGjRt8XbPDhw9j165dOHv2LO/FsvR8S+2xdZy5sFau+PfYsWMxa9Ysk+o5tkAoFGLo0KEmpCkthc3msPHjx+PevXtIT09vkb2tJZDL5U1GNQGWX0ZTKSaNz+F+42yTlhgVG15PjUxWzZmvqqurUVZWBg8PD8jlcpPrOftojx49+JpfQJ3JcPv27Rg4cCDat2/PX9OxY0esXbsWvXv3xu+//467d+/y0XZEdbStd+7cwZUrV3DhwgUUFxfD2dkZI0eOxMKFCxEeHs7n1bX1BMDRQPXv3x9yudzMe8oxYvr6+qK6uhr5+flQqVSQSCTo378//vnPf8LBwaHV7bLZHFZdXc1/6Zs3bzYjfWsLBAcHY//+/ejatatVE5Farca1a9eQlZWFoKAg9OzZ04SCiIig1WqRkpKC3NxceHl5ITQ0FHK5HAzDQKPR4OrVq4iLi4NGo8GAAQMwaNAgODs7m9yjuroaaWlpKC0thbe3N++zb4rMrqioCB988AEuXbqEPn364I033kC7du3MzFGJiYmYOXOmCYWTr68vvv76a4waNYr/mLhXo9PpoFAo+CJ2XJCOQCDA3bt3ERsbiz///BNVVVUgIkgkEgQHB2PatGmYPn06unTpYpIYaukDbY0AERHS0tIwdepU3Lp1i/+7u7s7FixYgDlz5sDHxwcqlQqZmZnIycmBq6sroqOj+XFp9QfVEr2CU+bfeeedB5K64uzsTP/73/8smkUaEl34+/uTTCaj9u3b044dO0z0Oo1GQ5s3b6agoCBydHQkb29vGjduHG3bto0OHjxIq1atog4dOpBIJOItF/PmzaOTJ09SQUEB5eXl0aFDh2jevHkUFBREnp6e1LVrV9q0aRPV1NRY1ckMBgN9/fXXJJfLCairefvll1+a1Q7jNmibNm0iZ2dnvu++vr70yy+/WN1lN8yHMxgMpNfrSaVSUXp6Oq1evdriRkkkElHHjh1p2bJldOLECSopKSGdTsdfb6v5rCl5KC0tpblz55KDgwPJZDLq2bMn/fzzzxY3j0ajsc1y1lokuFwjsrOzqXv37m0uuEKhkBYtWsTXAWv83BMnTpjVIgsPD6f09HR+cK5fv25SqQeoy6NycHAgX19fi8QcIpGIgoKCaPz48TR27Fhq166dyW6eYRgKCAigw4cPW90Fq1QqevbZZ3nhkUgktGbNGtLpdBbHUKFQ0PLly0kul5NUKuXpoFpiHuJyzG7dukUzZswwY+tp2H5nZ2eKjo6mp556ipYtW0b/+Mc/aOHChbR8+XLatGkTXblyxWyDaMvzdTodnTt3jt5++23avHkzpaamPhRapxYLLlHdjtdSVfC2OAICAvgs04ZQq9X0zDPPmD3TwcGB9u3bx3/R33//vdUXKBAIrJpvGIYhiURCUqnUYr8YhqFFixaRSqWyOCbl5eU0YcIE/lpvb286ePBgkyamlJQUmjdvHnXt2pXmzJlDCQkJLaZD4oTnwIEDFBQUZPM4cwmTAoGA7OzsKDw8nF599VW6fPlyi4hBuI9HpVI9VB6yVlkVhEIhgoKCbK+72gIUFhbyRaA5ENUVOTl9+rTZxqsxj4BSqbTqnpRIJHB2drZKBMJFXVnqFxHh5s2bFklAqF4nrqqqglAohJ2dHcaNG4d+/fo1qcOFhIRgxYoVmD17NgYNGgQXFxeT+FRbwLW5X79+iI6OtjkBlRrk0anVaqSmpuKLL77AihUrsHfvXqhUKpvbwFkaLMVSWHqu0Wjkc/e4/+v1+haFD7SakbwtIoYswWg04tChQ5gyZQrGjx/PFxc5ePCg1eDyhi+LixttDC5Ie9iwYbh27RqOHj2K4uJiGI1GCIVCuLi4oGfPnujUqRMyMzNx6dIlswLSWq0WarXaxFJA9bECd+7cQUVFBRwcHBAVFYXnn3++yUxbTuAiIyPh4uICvV7PBwhx92/4nOYgl8sRERGBffv2tTpkU6PR4ObNm9i2bRtCQ0PRs2dPvq1N9aM5cB+IQqHAzZs3cfPmTSgUCl7gqT79R6/XY8OGDTa1tcWCyz0kJSXlgQmvQqHAxx9/DF9fX4SEhCAhIQFbt261GFnGBXRzA+js7MxTETVEZGQk3n//fXTq1Am1tbUYP348fvjhBz7EbuLEiZg0aRJ8fHxQU1ODw4cP48svv0RKSgr0ej1kMhmioqJMhAuoE+Zbt27h559/RmVlJYKDg7Fs2TKEh4fbtGuWyWRo3749DAYD/8EZDAYwDMMHwQO2CUhjFndbIZFI+AI03IrT+AO1BO5ZTVlagLr3uX//fuzatQs3btyASqUyYY9veH6bCy6XS6bRaHD+/HmcPXv2gaYg//nnn1i8eDGCg4Nx48YNq1V1RCIRn9oCgF+yGoJhGIwdOxZdunThZ9cJEyagX79+yM/Ph4ODAwIDA/mMVicnJyxatAhDhw7FiRMnkJmZicDAQIwePZqfRblM5MOHD+N///sfUlJSIBKJMGTIEAwdOtRq1FfjdgF19RAkEgm/kqnVar6mmZeXF1/joqn7FRQU4Pz58y2eTOzs7BATE4MBAwbwKTohISHo0qWL1WdyM6hGo+FLiFmypXPq1erVq3Hs2DEzW+/9wGbB/e9//wu1Wo38/Hz8+eefrc4JsxVGoxG3bt1CSkpKkx+IUCg04WewpOOKxWL06tXLRAcTCoXw9vaGl5eXRQeDUChESEgIgoKC+EBubvYzGo1ITEzE2rVrcebMGV4fDwgIwJAhQ0w+pObQ+NksyyI3Nxc7duzAjRs3EBgYiFmzZmHw4MGwt7e3GKJYWFiIjz76CJcuXbL5uRz8/f3x/PPPY/DgwZDJZPx4Wcu+oPpsiIsXL/JFa6ZPn46goCB+heHadfXqVaxYsaJVNR6aha27OJFIxNs+/yoUSqjfvSclJfF+9I8++siMfsjJyYnOnj3bJjtelmWpsrKSlixZYsJXxjAMRUVF8aa51t5bp9PRrl27yNfXlwQCAQmFQvL396cPPviASktLzehOb968SdOmTWuVXZ1hGIqJiaGUlBQTW641my5nQThy5AhFRESQWCwmmUxGQ4cOpXPnzvGmPIPBQImJidSvX78Wy4mtaHWQjUAgIKlU2mr+sLY6evfuTQUFBcSyLFVXV9PEiRMtCvf169fbTHDT0tIoPDzcTAimTJlC1dXVTcbBNhfUotFo6PXXXzcj8fP09KSdO3eaEPQVFxfT7NmzrRL+ceaupsYvNDTUYjijpbbrdDo6ceKEWWCNQCCg8PBw+vrrr+nWrVu0f/9+iomJaVXkmK1oddUdV1dXDBs2DOXl5YiPj7dZf7HkbmwtHB0dMWfOHL5cUmlpKVJTU83O8/DwaDYGoiWoqKhAaWmpyd8YhkF4eDjs7Oysxk5otVrU1tZCKpXy6dmNz9XpdBZpXDl/f8Nx0+l0yMvLs5h21K5dO8TExIBhGFy4cMFqynphYSFu3LjBVxVqDLaeK6O8vBwHDx7Ehg0bkJ6ebnIvlmWRkpKClStXwtvbG+Xl5SgrK3uge6BWZ/lGRUVh9erVICK8/vrrOHLkSJMNdXNzQ8+ePREcHMzbZVNTU1FcXNyqoB2xWIw5c+bwRMRAXdp84w+IYRiEhYW1SO9sDpY2LBKJBKGhoVbtqEVFRdi9ezeuXr2Knj17Yt68efD09DQ5h4hQUVGBtLQ0s7GUy+Xo3bs3n3dHRPDy8sK0adOQmprKk945Oztj3LhxeP755xEWFgaWZXHw4EGsXLnS7GMD6vYEsbGx6NOnD0JCQviU9tLSUqSnpyMjIwNpaWn4888/cf369SaJqquqqlqUN3ZfsHVqRiM14ZVXXuG9Jd9//32TNQ6CgoJo9+7dVFZWRhqNhjQaDVVVVVFqaip9/PHH1KVLlxYvKwMHDuQ5YbmlLDc3l3r27Glynp+fH/3yyy9maTitjfVlWZbu3btHYWFhZurIhQsXLLqqKysraeXKleTi4kIikYgCAgJoz549ZjEZRqOR9u7dy8c7NBzvuXPnmlX/4WJHfv31V3r11Vdp1apVdPjwYT74vqFKMWzYMKtj6ejoSNOmTaPt27fTd999R6+++ir16dOH3N3dSSaTPVQeYJvl0eYTGw3ka6+9xutb586dIy8vL4sNkUgktH79ejNXJjeoOp2O4uPjaciQITbry2KxmDZs2GDy4lm2rjTUG2+8wfv/Q0NDadu2bbzeqdfrKScnh06cOEFXr16l2tpas5Sg5oSaE5Zp06aZtKlz586UkpJi1keuVJSHhwd/rlAopCVLlvCCyB1ZWVk0ZswYsw2Nj48PnT9/3uqGyWg0kk6nsxhEzrIsFRYW0sCBA5sdU7lc3iqSbGsHp2O3ZINmK1rtOcvNzYVarYZIJIJGo7FqP3Rzc8Pw4cPN6gpw/xeJRIiJicGWLVvwz3/+E6dOnWo2o5QL62t8P4lEgtmzZ0Or1UIkEmHKlCl82CMAFBcXY9WqVThx4gQcHR0xd+5cvPjiiyaVKqnelGNtyefiUKOjo/H777/zThGWZVFSUoJOnTrxdmSqJ9XYvHkzv5QDdea069evIzc3F6GhoQDq7LDr16/HqVOnTNQEoVCIyZMno1evXlbbwzkrGoPqTVdHjhxBUlJSk2PakLzjfiEUChEeHo4BAwZALpejpKQEKSkpSEtLQ3V1dds4rmyVcDT6MsLCwighIYEqKyvpv//9L9nZ2Vn8gsLCwviEQGvgZo1bt27R9OnTmy2tJBAI6LnnnjMLBuFmw8zMTFIoFLyJh/vtwoUL5O3tzd9HLpfTmjVr+KgoW0PvDAYDbdq0ySSYx8HBgaZPn05xcXFUXFxMVVVVlJKSQnPnzjWragnUlXr66KOP6NatW3Ty5EmaNWuWxX77+Pi0ypTHsixVVVXRli1byM/P76Et9QAoJiaGrly5Qmq1mg/AycrKom3btlF4eLjVlZVhGJv712rBtbOzo+eff57+97//0ahRo6zqQVFRUbz9sbmBNhqNlJGRQStWrCBPT88ml5h27drRmTNnTEo5GY1GUiqVVF1dbSK03P3j4+PNqjt27tyZrly5wpuDmtN9WZal8vJyevrpp836LJFIqF27djRq1ChavHgxjRo1ykxf5Q6hUEgdO3akYcOGUZcuXSwKN2disxTm2dxY5uTk0DPPPEOOjo4PVWilUil98803Zvo7y9bl27333ntWQ0tlMpnNfWy14DIMQ76+vtS3b18T/a3x0adPH5sEl+uc0WiknJwceuutt8jX17fJWgX9+vWjs2fPUm1tLWk0GiouLqYbN25Qfn6+xWD03NxcioqKMrmPXC6n3bt325TTz+nJX3/9Nbm6ulrtM8MwJBaLSSKRNLmxYRimyVRvqVRK77//vsn+oKFO3Lj+Gnfk5ubS9OnTzTKEH8bRuXNnysjIsKqPx8XFmckLwzAklUrJxcXFBkmsQ6vtuESE4uJiVFZWNqkbabVam81dnM7q4+OD6dOnIzMzE7///rtFjisiwqVLl7Bw4UI88cQTaNeuHUpKSmA0GjFjxgx4enqaxSz4+Phg6dKlSE9P5802YrHYptwnqvfPHz58GGvWrGmyxhnV65bNBdlQM1F2DMOgqqoKKpUKzs7OICLodDrcu3cPiYmJqKysRGBgIHr27MnTLZWVlWHdunX47bffHnpJL4FAgKFDh8LX19dqvwMCAuDq6gqFQsH/jRvblrS31YILgI/lbAoKhQK5ubnw8/Oz+b56vR5qtRqOjo6wt7e3GhvKsiwyMzPx9ddfQyKRQCwWw9vbGzExMejfv7/Z+UKhEHPmzIFer8fnn3+OoqIi9OvXz4y6qTG4gT106BBeeeUVZGVl2dQPLgBFp9O1auOj1Wpx4MABBAQEICoqClVVVfjjjz9w5MgR5OTkwGAwwMHBAd27d8dTTz2FiIgInDlzBnv27HngxVW4vnGk1sD/42vjYh4ag2EYuLi4wMPDA2lpaSa/cVT7tuK+BNcWlJaW4ujRo+jVq1ezFQuJ6nhVDx48iNjYWCQnJ5vx6FoCF1HFzXKWZlugbuAcHBzw7LPPYsCAAUhNTUV4eDj8/f2bfcaVK1fw2muv2cySzjAMfHx80LVrV6SlpeHevXstjpMlIqSnp+Odd96Bo6MjVCoVampqTO5TWVmJs2fPIi0tDdHR0SgvL7dpzO4X9vb2iIqKgpubG4qLiyGRSDBnzhzExMQ0eZ2dnZ1Fen6qj2u2FQ9ccHU6HXbt2oUxY8Y02SkigkKhwPr16/HDDz9YLRxiDdzXPHbsWPTs2bNJc5ZEIkGPHj34mbapkEGqjz/+9NNPzWaJpuDo6Ij58+dj3LhxiIuLw8aNG80C0zlwbbUk2CzLoqamBjU1NVafxa0IHTt25GlPz507h+rqapvb21IQ1TGjT506Fa6urnB1dUVwcLBFl3dDGI3GR2sOa8nBMAyNHj2acnNzrSrtWq2WVq9ebdUU1pSFQSQSUVhYGK1bt46ysrLMLAqWYKv3jGVZSkpKog4dOrSoz/369aPbt2+TVquljIwMGj16tFkfGIahwMBAevrpp2nw4MEWLQu2HO7u7vT2229TTk4OKZVKys3NpV27dtHMmTOpV69eFB4eTl27dqXw8HDy9fVtEweDQCCg0NBQWr9+PSUkJFBpaWmz486yLN24caPJ3Dhb8dAomMRiMS1btswq2+CtW7esViNnGIYPqWz8m7OzM82ePZvOnTtn5glragCNRiOp1WpSqVRWB5wL0du+fbvJByUSicjDw4MCAwMtmpuEQiG9+OKLfHv0ej3t3r2b3N3dTc6LjIykI0eOUHl5OcXHx5u5kW0Z0x49etB3331n5oUzGo2kUqmouLiYcnJyKDc3l9LS0ujw4cM0c+ZMi9ROzU0QlvoZEBBA06ZNo2+//Zby8/Ot2sBZlqWKigp6/vnnm7R22CyPNp94n4IL1Nl+33jjDTO7pNFopJ07d1p1YgiFQrKzsyOZTMabjwQCAXl6etJrr71Gubm5JqahhoPV8EXq9XpSKpWUnp5OsbGx9K9//YtWrFhBn332GSUmJlJ1dbXJfXQ6HV25coUGDx7MxyH7+vrSyy+/THFxcXT58mX6+OOPycfHx6S9IpGI/vWvf/EOEpat4x946qmnSCwWk0AgoC5dulBcXBz/0ahUKpo/f36zgiMWi8nX15dGjBhBmzdvpoyMjCY/vMaHXq+nlJQUmj17Nrm4uPD9EgqFJJFISCQStTiGluOnmDp1Kh07dowqKyvNxvHu3bv0wgsvkIODQ5P3shUPXMdtCLVajc2bN6OyshKvvvoq2rdvD4FAgOrqaly4cMFilqdQKISDgwNkMpmJe1Umk2HIkCFYvHgx/Pz8TExPVG9mqq6uRmFhIfLy8pCXl4eMjAzcvXsXKSkpyMnJgUajAVEdZb2npyeio6PRv39/hIaG8owzv/76K27fvg2WZeHu7o633noLCxYs4NNcOnTogISEBMTGxprQOyUnJ6OyshLe3t4A6qK25syZg7y8PIjFYvzrX//CkCFDeP2aI2QWCARmOiDn4u7duzcmTZqE/v37IyQkxMSMZ0mvtPQ3oVCI4OBgPP/885DJZLh8+TKqq6thMBig0WigVCpbrIMajUY+r+zs2bPo378/+vXrB39/f9TW1iI5ORmnT5/GnTt32sxE91AFF6gT3h07duDSpUs8PVBycjKOHj1qsjkRCASws7ODj48P/Pz8IBAIUFpairKyMhgMBvj4+GDw4MG8zbBhykhFRQVOnTqF2NhYXLlyBSUlJXw8hbUNUEFBAX7//XccOnSIZy7n0qc5dOzYEU8++SQvMEQEe3t7uLq6mlAmEdXVw/39998xY8YMODo6QqvVwtfXF7NmzUJ4eDj69+9vls7doUMHODg48JsqgUAAV1dXDB48GIsXL8agQYPg5OTUpLA2B4apK0kQGRmJFStW4MaNG7hz5w6Sk5Nx48YNnsapNaD6Dfbvv/+OgwcP8lV62AYkf22Fhy64APiiFUlJSZBIJGBZ1iRDlau/0L17d/Tt2xeBgYF8gHVGRgZUKhWCg4MRGRkJkUhkEqh98+ZNfPnllzh48CDKy8tbbIJqbtfbmI6/oqIC6enpZs8pKyvDRx99hLt37yIiIgJKpRLp6ekQiUR8/hsHqndYENUVtxOJRPD29saQIUMwdepU9O3bl8+razXXViNwVYN8fX3RpUsXaLVaXL16tc0yt9n6OhcPCo9EcDlwpBCNwZmsnJ2d4e/vj4iICLi6umLQoEGoqqqCRqOBs7MzAgMD+co0VVVV+PXXX/Hpp5/i9u3bD8RrlJWVhcTERL6+glKpxN69e3H16lWzc4nqSiF99tlnEIvF/Mxjb2+PzMxMLF++HJGRkRAKhSgrK0NCQgKOHTsGPz8/zJo1C1OmTEFISAhvzG8rgeUgEAggk8n4D9HV1bXV6e2PAvcluByhg8FgaFPqUYPBgJKSEpw7dw5KpRIuLi7o1KkT5HK5iX2We5lKpRL79+/Hhx9+iNzc3Ac2+AqFAu+//z6ys7Ph6emJ+Ph4xMbGWo36p3rmyIZjo1arceDAAcTHx6Ndu3YQCAQoKiriK7VHRERg5MiRCA8PbzYlvaVoPC6c2uDo6AihUPhQCtG0VerWfQmuXC5HcHAwysvLzaqdN9T5WgODwYDS0lKcO3cOXl5eVrkKiAi1tbU4duyYWU5WW4OIcO3aNaSmpkIgEECr1bZqZufKVZWUlJj9du/ePZSUlLQpqTU326tUKuj1etjb25uQMQuFQtTU1DwwwZVIJAgMDERUVBQCAgJgNBqRn5+PO3fuIC8vj6cUaMm7uy/BNRqNUKlUPI0RV8HRwcEBTk5OUCqVqKqqui9dR61W48qVKygvL4ePj4/FlykSicxcoQ8KRK0r12orKioqcPjwYYwcObJZL5StMBqNiI+Px48//ojq6moMGTIEkydPhqenJwQCAdRqNTIzMx8IM5GnpyeWLl2KBQsWwN/fnyc+0el0qKys5Imp79y50zLOZVvtZrBgcxMIBCQWi0ksFvN2QH9/f5o9ezatWbOGJk6caNU225LDzc2NTp06ZdVWWV1dTQsXLnzkqfJtdfj5+dGJEyfMuA50Op0Jn60tYFmWMjMzqX///iQSiUggEJCLiwstWLCALl++TAqFgk6cOEGdO3du0z5w3sxdu3bxjhhLbeNsy0qlkiorK20Vx/uz41raObq5uWH06NGIjIyE0WjE6dOn73uGUqlUKCoqsvgbZwPt2bMnYmNjzbJQxWIxxGLxQysm2BYoLCzE22+/jbVr16JHjx7Q6/W4efMm4uPjoVarMWbMGPTr16/ZoCUOGRkZSE5O5tWayspK/PTTT7h27Rr69u2LzMzM+2Im4moT+/n5wd3dHe7u7ggLC8PEiRMRHh7Or8SN0TB9q6kSsZbQplYFrlSqWq2GWCyGUChsk+Vbp9Phzz//xJQpU0z0XGpAutapUycEBgYiLS0NLMtCKBTCw8MD4eHh8PX1xb1795CUlITq6uq//M6Z6u3Ac+fORVBQEFQqFbKzs/nyqKdOncK3337L56s1B47QriH0ej2SkpJw+/ZtAGj1Ry2Xy7F06VLMnTsXfn5+kEqlJrWP29oawqHNzWHFxcWIjY2FQqHAmTNn2oTojGVZ7Nu3D/369cPo0aN5Mg2q15XKyspQUlLCMy1yvF8jR45E3759IZfLkZ6ejtjYWJw9exbl5eX87MMN7IO2O7YUnFOkoKDA7LcbN27g+PHjCAkJsTpTNRSY4OBghIeHIz4+3uQcbvxaC4ZhMH78eKxatQpubm4PTEgtPptsnH4WLFiAnJwcXLt2rVnSB4lEArlcjtra2jbdyHh4eCAiIoL3pHFBzEqlEhUVFVAqlTw/7YQJE9CrVy+4uLjwG5Ds7GwkJCQgNTUVKpUKjo6OPJlyeno6Tp06ZZHxpWFA+MPOKrAEjn3y22+/5UlF9Ho9NBoNJBIJbzHgBMloNOLrr7/Gyy+/3KbvQyaT4YsvvsCCBQtsJpRuM9iqDGu1WiotLaWff/6ZOnXq9Mg3MNzB1FPCC4VCsre3p4iICNqyZQsVFxebbW70ej2p1Wqqrq6m6upqvqCdTqejyspK2r17N7Vr187sGQ4ODhQTE0ORkZGtDj1s68PX15eOHDnCFyDJzMykAwcOUGJiIl/csOEmqKioiEaMGGF1DFuzsb3f6pCNg6Bach+bPxOJRAJ3d3dMnz4d69atg5eXl62XPlAQ/b9y9twmTqfTwcHBgTfgc4dIJIJUKoWjoyMcHR1hZ2fHb97kcjmefPJJvlxTY4SHh2Px4sXo06eP1eVZKBRCIpE8lNlHoVDgwIEDKC0thUajgUqlglqthlarNVN5uKyQBQsW8BzADSEQCFrVbq1WixMnTqCyspJ/D7aC6t3cycnJ2LlzJ9577z28+uqrtj+8NV+JWq2mt9566y8z+zQ8xGIxLV261IyuyBYYjUbasWOHWfETkUhECxcupOTkZDp06BBFRUWZhf65u7vT4sWLafPmzbRy5UoKCwt74NRFXbt2pTNnzlBNTQ1VVlZSUVERVVZWWjSXsWwdy6SlFYVj3mxNex0dHen555+n9PR0m0tBcbG5a9asofbt25uEUtqKFgsu9+C8vDx64okn/jI8uQ2PsLAwunHjRqtINM6fP2/GvcAwDE2YMIHy8/NJqVTSjz/+aEIsIhaLafHixVRYWEh6vZ40Gg1dvXqVRo4c+UCF18nJibZu3UoqlcosVd1S33Jzc60Gq9/PexSJRNS7d2/69ddfzdQUS6itraV33nnHoo3fVrRKcInqZqdTp05RaGjoX054xWIxvfbaaxZLO3FZDUql0uSFc7/l5uZazMQYOHAgH+FfVFREEyZM4IXSwcGBvvjiCxNiPaPRSJcuXaL27ds/sH4KBAJatGhRsxXmuT7HxcWZ1YlryyMgIKDZIoN6vZ5iY2OtcnHYilYLLsvWVXHct28fDR06lFxdXf9SnitPT0/69ddfzYg+DAYDXb16lV566SV6+eWXKT4+3oQsrqqqikaNGmV2v65du/JEF7W1tfTMM8/wgiuVSmnjxo0WSfiWLVv2QD/soKAgunTpktlmzGg0kkajIYVCQXfu3KHY2FgaOHDgA10BGIahoUOHUlpamsnGmMs+qayspMOHD1O3bt2s3qPNBddSGggnvBkZGfTLL7/QkiVLmmSfedhHt27dTErLsyxLBQUFNGnSJN5NHRoaSvv37+eFV6VSWRQ2b29vio+PJ4PBQMXFxSbCLRAIaNmyZaTVas3GbPfu3RYTQIVCIbm4uJCbm9t9Mc4IhUKaPXs2ZWdnk8FgIIPBQBUVFRQXF0evvPIKDRs2jDp16kSOjo4P/L0IBAKKioqiEydOUHFxMWVkZNCJEydo69at9Oabb9KMGTOoXbt2TbajzQX35MmT9Mcff9CpU6fo0qVLlJWVRWq1ml9qDQYDlZeX0+bNm810xEd1MAxDY8eOpaysLL6N+/fvJxcXF5PzgoKCaN++fVRbW0uVlZX0wgsvmK0eEomE1q1bR0VFRbR3714THRcADRgwwGzJZtk6Lt3GcQCOjo40f/58OnDgAMXFxdH69eupV69erc6+lUgkNHLkSPrvf/9LGzdupGnTppGnp+dD5bWVSqUUExND27dvp5SUFDp8+DBNmjSJPDw8+Dw7Wz6cNhdcmUxGMpmM7OzsyM3Njfr370+//fYbX6uWm4Fzc3Np8ODBj1xouUMsFtMrr7xCpaWlVFVVRW+++abZDMcwDAUFBdHGjRvpt99+o1GjRpkJLsMwFBkZSf/+979p0KBBZkIRGBhIqampZrqdVqulNWvWkJOTEwkEAvLw8KB3332XFAoFP2YGg4EyMzPphRdeaJapsqmPlCswc78zq0gkIjs7O5ssDQKBgIKDg2nt2rWUnp5OGo2GVCoVffXVV2YThC1HmwuupYEaNmwYXziEg7Wauw/qkEgk5OnpSXK53Ooz27VrR7GxsZSenk5Lliyxqou7uLhQWFiYVUI7sVhMHh4eFivcyOVyOnz4sEUzlEKhoM8//5xWrlxJ+/fvt1jsmWVZKisro/nz51sVlocxg3p7e9OcOXPogw8+oFdeeYV69+5tNcKPYRjq1q0b/fHHHyZFVYxGI+3Zs6fZjN5HIrjci27MlG0wGGj16tU2DzKXas6lSbekkz4+PvTmm2/SH3/8QTt27LDKyyCVSun111+na9eu0fLly5vUKZtb0qy1USqV0s6dO5vcTWu12iZtnSzL0qlTpyzOVA4ODtS+fftWCYOth4ODA61atYqys7OppqaGioqKaOfOndS5c2eLY2JnZ0dbtmwxsyKwLEunT59uktHyfgX3vlw8tbW1ZuFwDMPYHHDB0R8JhUL+sNV74+zsjHfffRdvvfUWhg0bhrlz52LhwoUWK8cYDAaUl5dDIBDAw8OjyRC65jJSrQXicAmflsB57TjvVFNjExQUBF9fX7Pr/fz8MHbsWL7AyINAYGAgJk6cCF9fXz57OTQ01GpNYicnJ/Tu3dti2KK7uzsfDPUgcF8jwLKsxah1WyP3G/J2Ncfh1Rjt27fH2LFj+WdJpVJ0797dokuTa6tIJDLLW2tLUAvdno3B0fRbIoVzc3ND9+7deS6KtgbnFuYIA7n30TCLujHEYrHFtgJ1oZTWqlO2SXvpfkb6MR7jEeEhx6I9xmO0DR4L7mP8LfFYcB/jb4nHgvsYf0s8FtzH+FviseA+xt8SjwX3Mf6WeCy4j/G3xGPBfYy/Jf4/r11Rt7tZkx8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 16\n",
      "\tJ = -1.6062e+00\n",
      "\tbeta = 16.00\n",
      "\tgrad_norm = 1.6201e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 17\n",
      "\tJ = -1.5072e+00\n",
      "\tbeta = 17.00\n",
      "\tgrad_norm = 1.2868e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAX1xJREFUeJztvXd4FFX7Pv7sbEt2N72SRgiQkIQSSuiETkA6CIIoKEUEBGyv6KsoNpAmWEDEFwERVEJvUkINvYXQExIIkN7r9p379wfM/LLZ3WSzSSifL/d1nUvJzpxzZuaZM895yv0IAIBe4AWeMzBPewIv8AK24IXgvsBziReC+wLPJV4I7gs8l3ghuC/wXOKF4L7Ac4kXgvsCzyVeCO4LPJd4Ibgv8FzCasEVCAQm7a233iK9Xl+f83vmAIAuXbpETZo0MXtPqmvDhw8ntVptsX+dTkdz584liURiU/910SQSCY0cOZL++ecfeuutt0gulz+xsa2FyNYHyDAM+fr6EsP8v7do5+XlUVFRkU3nOjs7k0hk+bbrdDrKyMggg8Fg4+xqD71eT2fOnKHS0lJKS0sjjUbz1OZiCTYLrqenJ/Xp06dGb8n/FaSnp1NpaWmNzxOJRNS+fXsSCoVmfwdAOTk5dOnSJWJZtrbTtBkAKCsri3JzcwnAU32JLMFqwW3cuDGp1WoyGAzk4+NDb7/9NrVt2/b/ScHVarUWHyb3qSV6tHpyAigQCCg8PJyio6Mt9guAjhw5QomJiTbPTSAQUF3ETQF4ptVAqwX3wIEDpNPpyGAwkLOzM3l6elb5yfu/jEaNGpGdnR2Vl5cb/V2hUNDo0aNp2LBhJBKJ6NKlS3T58mXKzMwkf39/mjVrFjVs2NDsyw6AUlJSaMWKFVXqwJYgEomoVatWFB4eTnfv3qWLFy/a1M9zA7xAjcCyLPLy8jBs2DAwDAMiAhHB3d0dP/74I0pLS8GyLFiWhcFggFKpRF5eHsrKysCyrNn+WJbFvXv3MHToUKM+rW0Mw2D8+PG4d+8e1Go1cnJysGLFCnh7e9e4r/psEokEwcHBCAsLg52dndljrMX/U4LLCZNarYZGo+GFxpZ+kpOTMXv2bPTo0QOjR4/Gvn37+D6tOZ9rZWVl2L17N7p06WKT0BIRWrVqhZSUFKOxtVot1q9fD0dHx6cusESEoKAg/Pbbb7h37x7u37+P5cuXw8XF5YXgVgeWZVFUVIRVq1ZhwIABGDVqFA4fPgy9Xm+z8Gq1WhQVFUGlUlndB8uy0Ov1uHPnDn755Rf069cPTk5ONgsEwzBYtGgRDAaDyVhlZWV48803IRAInqrQtm3bFqdOneLvNcuyUCqV+M9//gOhUPh0BbfiKmKLIFTux2Aw1Lqvin2WlJTgnXfeMfpEhYeHIzExsU7GsBYGgwH79u1DixYtIBKJai0Ubm5uuHz5skU15Pjx47V6MWrTGIZBjx49kJCQYDI/lmWRmJiI0NDQpy+4Wq0WSqUSOp2uxsLACWl6ejr+/PNPfP/997h48aLNK2Llvn///XfY29sb3SSJRIL169db7J+7JpVKZXZFswVKpRJDhgypM+Ho168fioqKLI5XUFCAXr161ZtwCgQCiEQiiEQiCIVCMAwDkUiEBg0aYMaMGUhNTbV4f3U6HVauXGn0YlmLOjULaDQaKigoIEdHR3J0dCQisspcBoBYlqX4+HiaO3cuHT9+nHQ6HUVERNAff/xBzZo1s3lOACg/P59Wr15NKpXK6DeWZUmr1Vo8LyEhgX788UfKz8+n1157jYYNG0Zisdji8Xq9ngoLC8ne3p4UCoXZaxcIBBbtuDWFm5sbTZo0iRwcHCwe4+TkRCNGjKCTJ09avNaaQigUUqNGjahz587UoUMHatCgATEMQyqVitRqNcnlcmratCmFhobyHkBL/YwdO5ays7Np/fr1lJeXZ/0karRcVAGWZaHT6VBYWIiysjL+U2/NeXq9HqmpqRg9ejTEYjH/9snlcmzdurXKfji1oqL+VPn32NhYKBQKk9XCxcUFx48fN3tOZmYmunTpwuuH/v7+iI+Pt/hJLikpwcKFC9G5c2eMHz8eycnJFo/dvXs3AgMDIRQKIRKJ4OLigiZNmiAsLAyBgYFwdnaGRCKBSCSCvb09GjRogFatWqFbt27o3r07oqKi8PLLLyMmJqZa/ZplWWRlZWHkyJGQSCS1WlklEgmaNWuGr7/+GklJSfyXtapWHViWRXFxMY4ePYpff/212uM51NmKy60kTk5ORn+zBnjsnXFxcSEHBwcqKioigUBAjRo1okaNGlV5XmlpKe3fv59u375NLVu2pC5dupCbmxs/NsuydP78eVIqlSbnR0REUEREhNm+4+Li6PLly7wxPyMjgxISEqhVq1YmxxoMBlq/fj199dVXVF5eTufPnyc3NzdasGABSaVSk+Ojo6Ppr7/+ooSEBJLL5RQUFER+fn4klUqprKyMsrKyqKCggHQ6HclkMvLx8SEfHx8+ZgAAiUQi3o5e1X0WCATk6elJP/74I0VFRdHhw4fp7t27lJaWRsXFxRadFXZ2duTr60t+fn7UoEEDCgwMpObNm1PHjh0pMDCQd/XXhQPKwcGBoqKiqHPnztafZLWI1xO4N1On0yE9PR1btmzB559/ji+//BInT56sUl/WaDT44Ycf4ObmBqFQCIVCgd69e2PdunVISUlBUVER7t27h5EjR5qYmsRiMX7++WezuivLsvjll1+MNk9CoRB//vmn2dU5KSkJTZs2Neo/KCgI9+7dq9J2W9NW2/tsMBigUqnw8OFDbNmyBf369TOxpyoUCvTv3x8bNmxASkoKv2epuFmuj81sTft96oLLoeJN0ev1Fj/9FY9PTU1F8+bNTT5rUqkUzZo1w4gRI/Daa68hPDzcSAUhIjg6OmLXrl0WBevw4cNwc3Pjjw8ICDC7OzYYDFiyZImJWUcikeCHH36AXq+vl/tlKyre46SkJEyePBmenp6QyWRo3LgxFi9ejJycHKtVvaeFZ0ZwawqWZbFp0ybIZLIq9TKpVApHR0dIpVIje6ZYLMa0adOQl5dndhUtLy/H3Llz0ahRI4SEhOCXX36BRqMxmYdSqcTQoUPNjh8cHIzjx49DrVbX6epZF+BW4PT0dKxcuRLvvvsutm/fbtHD96xBADyfTDZKpZKmTp1KGzdurDaohNPHKkdc2dvb08CBA2nOnDnUunVrYhiG19kAkEajoYcPH5JIJCJfX18Si8UmOl1JSQkNHz6cjhw5YjKuQCAgf39/GjhwIIWHh5OnpycFBQVRaGgo2dvbP/UAJe6+qVQqUqlUJJfLSSqVVjkvAKRUKkmpVJJCoSA7O7s6uQ48WkStD5N9eu+M7WBZFseOHYOnp2ed2CGbNm2Ko0ePml15q1sltVotZs6cWaW7lrN1SqVS+Pr6YsWKFdBqtU/iVlWLmnwJOH1+ypQp6NSpE6ZPn14nDhxOdcnNzbX6nOdOcFmWRVpaGvr27VtnrkyBQIDXX38dKpXKpvkkJSXhpZdeqlJtqdiioqKQl5dXq3vAbWhtcfbYivLyckyePJnftAqFQgwaNAhZWVm19paWlZXhxIkTVp/z3KUvqNVqWr58OR07dqxO4k6J/n+1wJb+BAIBNWnShDZs2EAbNmygSZMmkZ+fX5WfPLVabXOgOADSarV05MgRmjt3Ln3xxRd05syZJxI7m5mZSYcOHeLHMhgMFBsbS//8849JfDIeO5XUajWpVCpiWbbK+ysSicjb29v6ydj8mjwFsCyLK1euoEGDBnWy0nLN3d0dMTExtXLrcqugSqXC1atXMXHiRMjlcrPjjRs3zqbVHQD0ej02b94MX19fMAwDhmEQFBSEgwcPVuuIqO3G8MaNG0aWFq6FhYXh2rVrRiazkpISbNu2DZMnT8Zbb72FEydOVOm+574g1uK5E9w9e/ZYjOW01Ozs7ODu7g5nZ2dIpVIwDAOhUAg7OztERERg06ZN/M6/ruZZUlKCFStWwMfHx0ilcXNzw969e20eq6ysDC+99JLJNfbo0QPZ2dlm9XStVovk5GTExcUhPT29SlNXVQKekZGBiIgIk7EZhkGvXr2wb98+JCUlYe/evXjllVfg5OQEgUAAhmHQoUMH3L17t87u8XMnuFevXoW/v79VAisUCtG6dWv8+uuvuHz5Ms6fP4+//voL8+fPx4IFC7B7926kp6fXSSCPublqtVocPXoUo0aNQqNGjdC6dWusWrUKSqXS5n6Li4vRpUsXk2uVSqX45ZdfjK6FZR+Fci5fvhwhISFwc3NDVFQULly4YHEjqlQqkZ6ejry8PBP9WafTYeHChWZdxwKBAM7OzvDz84Ojo6PJ/sPR0RGHDh36f1NwgUfestWrV6Nhw4YmRv+KTaFQYOLEibh9+7aRM6OuPVLVgVt97927h/T0dGi12lqNqdFo8M4775jdmDZp0gSxsbFQq9XQarVITEzEm2++abRpFAgEGDJkCIqLi43mwbIsMjIyMH36dISEhKBt27b46aefUF5ebvQi5OTkYNSoUTUOeg8ICLAYfmkLnrrg2hKUodVqce3aNSxZsgSjR49G8+bN4eTkBDs7Ozg7O6NHjx7YuHGjycP5vwCWZXHixAn4+PhYFJAJEyZg8uTJaNasmdmX28XFBWfOnDG6N3q9Hp9//rmRh9HZ2RmbN282EfC7d+/WyKrj6uqKhQsX1ijgvjo8E4JbWlqK/Pz8GrlHK/vez507h3///RenT5/mXZb/F8FtABcsWGBzWo5YLMavv/5qJEQlJSVo3769ybHTp083eS4sy+LGjRto06ZNlePIZDK89NJL2LNnj9HKXRd46mm6ACg3N5eKi4spNDTU6lhVjvnEzs6O/Pz8yNfX1+i3moxvru9nBebmJ5VK6a233iKlUknLly+vMccDACovLycAVV4rwzDk5+dncoxAIKBmzZrRN998Q2+88Qbl5OSYnNe6dWv64IMPqH///uTs7Fz397TOXgEbwemANV1x62JclmVRWFiIc+fO4fDhw7hy5QqKi4tNIqGeVowB91XJycnB2bNncerUKTx8+BBarRYGgwFZWVkYPXp0jR0xDg4O+PPPP42+Snq9HvPnz+ctNgKBAJGRkVV6xtRqNRYtWsRnMAgEAri5uWHWrFlISUmp16/eU19xiR7xETxpAKCzZ8/Sl19+SZcuXSK1Wk2Ojo4UGhpKw4YNo6ioKPLz8yORSEQ6nY4AkL29Pdnb2xvFNNgyLvff6viyDAYDHTp0iObPn0+3bt0iABQcHEwffvghDRw4kFxdXalv3760e/duk+yOyhCJRCSXy8nJyYnatWtHERERRmMzDENvv/02yeVyOnHiBAUGBtKbb75JTZs2tThHiURC06ZNIx8fHzp06BA5OzvTkCFDqFOnTnUWw2AJz22QTWVUvIzqbhgAun37No0ZM4auXr1q8rtYLCZvb28KCAggOzs7UqvVpNfrydHRkcLCwqh79+4UHh5OPj4+fKC4Xq8nnU5HYrGYD1SpPA88DlA5fPgwXblyhZo3b069e/cmR0dHs8devXqVRo0aRXfu3DH6rVWrVrRhwwYKDg6m3bt306RJk6ikpMTstYrFYoqKiqJx48ZRkyZNyMHBgSd0qRzog8eBLgaDgRiGseoFrXgOl0zwRFStelvLnxBYloVGo8GVK1ewZ88epKamVvuJKisrw8SJE22OdZBIJGjYsCF69uyJkSNHYsSIEejbty+6du2KgQMH4ueff0Zubq7Jblyj0WDhwoVwcXEBwzCQy+V48803kZaWZvI51mg0eO+998yanZydnbF3714olUps27bNYhavUCjE+PHjkZmZaaTucKlOz3rMbVV4bgWXewi5ublYsGABGjZsCLlcjqFDhyIrK8vieTqdDuvWrTObg1ZXTSKR4JVXXkFGRoaRDfTAgQMmEW0Mw2DkyJEmxyYnJyMkJMRs/23atEFiYiL0ej3Onj1r0TTWunVr3ltV+SXiWHZKS0t52/LzJMTPvOBWvMnFxcUoLS1FWVkZcnNzcfjwYYwcOdLIBezg4IBTp06ZfQh6vR67du2Cr69vvQkt18RiMd5//32ekikrKwvR0dEWV8bRo0cjJSUFOp0O5eXlWLx4MaRSqYmQN2vWDHv37uWdKrm5uejQoYNJnwqFAuvXr7e4qur1esTHx/NpUvv27UNGRka18QTPioA/E5szSzAYDJSenk5Hjx6l8+fPU1lZGb+Ru3v3Ll2+fJmnwqx4jrnIKwB0/Phxeueddyg9Pb3e567T6WjDhg3Upk0b6tChA61bt45OnDhh9liDwUBbt26l1NRUGjx4MGk0Gvrrr7/4dHKhUEg+Pj40ZMgQmjp1KoWFhfHRZy4uLhQdHU2XLl3io7bEYjGNGTOGhg8fbnEDCIDi4uLohx9+oPLycrKzs6MWLVrQ22+/TSNGjOATM7ljAVBhYSGVlpaa1Y9tBR7rx7m5uZSXl0ctWrSw+sQnBk7Py83NRUZGBgoKCqBWq03MT3q9Hunp6VixYgXatm0LOzs7PjBGLBZDJBJZ1E+9vb2RmJhoMnZRURH69etX7yttxcYwDCIiIjB48GC4urpadY5IJIJEIuEjvzw9PTFr1ixcuXLFLDcZ58kaNGgQXF1d4ePjg+nTpxupHuag0+nw6aefmujQjo6O+OKLL1BSUmKkumRlZWHZsmX4z3/+gxs3btSJqYuLjVizZg3atWsHV1dXq899YisuACouLqatW7fStm3bKC8vjxwdHSkwMJCaNm1KwcHB5OLiQkVFRXThwgXav38/Xbt2zYTEojqS4YYNG5Krq6vJ3/Py8ig5OblOr6k64LH14tatW1azeleMq1UoFPTuu+/SzJkzSS6XE5F5i0lgYCCtWbOGbt26Rc7OzhQcHEx2dnZVjsMwDLm4uJhNRVq5ciW1bduWXnrpJWIYhgwGAxUUFFB2djbZ2dlZJDupKQDQrl276MMPP6TCwsIan2z122GrbsOyLNRqNdatW4eAgACjt1wgEEAoFEIqlUImk/Fhh2TjKjdw4ECUlpaazKGgoAB9+vSxuV8HBweEhoaiWbNmVmU6cNdVVSBQda1x48a4ffu2VSk1tsR8HDlyxCxjokgkwnfffcev8AaDASUlJUhMTERaWlqVWRcVv5rVRd3l5+ejR48eRmNbC6tX3GvXrpGTkxN5enraZFwuKCigXbt2UWZmppEOisc6jjV07Rzbd0Wm78rQarVmf3N2dqbPPvuMioqK6Pbt28SyLMlkMnJ2diaxWEz5+flUUFBgkkkgFAopMjKSPvroI+ratSsZDAb666+/6KuvvrJYB0KhUJCHhweVl5dTfn5+tddlCUFBQeTj41Ptcbaufu3ataMePXrQjh07jPYJMpmMgoODjQhHFAoFX7ClujHz8vLo0KFDRETUp08f8vDwMHt8WloaxcfH2zR3q0Xcy8sLYWFhmDNnDtLT02u0+rIsi4cPH2LEiBE1DgKnCqtAz5498fXXX2PAgAEmPAlca968OTIyMszOg0vH/vfff7Fjxw5cuXIFmZmZyMnJQXx8PL788kuEh4dDLpfDzs4O3t7emDlzJm8brhizai60UCAQoFmzZvjxxx9x6NAhvPXWW1VeL8MwkEqlZldlqVSKpUuXWnSD14U7mmVZXL58GW3atOG/cmKxGGPGjDGxQ1sLrVaL7777Du7u7nBxccE777yDgoICs30dPnzYxHJiLaw+kutYoVDg+++/r1GWKhfRtGXLFnTu3BkymaxGxn+BQIB+/fohOTkZWq0WqampGDhwoNk+3NzccPv27SrnYu6Bs+yj1JG0tDT8+++/+Oeff3Dt2jWzoXgsyyIhIQENGzY0mmO7du1w6tQpaLVa6HQ6nDlzxuiYis3JyQkTJ07EypUr8emnn6Jjx45wdnbmQzPHjx9vMQmR+xSnpqZi3759OHfunM0hnAaDATdu3MCHH36IgQMH4pNPPrHIwFMduNiPbt26GcnLb7/9ZnYzd/z48ScnuGKxGB999BHUarXVgwD/P8nGyZMnMWXKFAQGBkImk0EkEoFhmCoFOTw8HJcuXTISsjNnzpjNPbO3t8fZs2drNLfK87RmFdPpdPj555/RoEEDKBQK9OrVCxcuXDBamcvLy/Hee++ZfB3kcjnmzZuHwsJCGAwG6HQ65Obm4ty5c4iJiUFcXByKioqq1CMvXryIbt26wdnZGV5eXnjllVcQHx9vkzeMs/aUlJRYzapuqZ/CwkITu3LHjh3NfqXv3Lljks1iLaw+kuMGCA0NxaFDh2wyh3Cr2t27d/Hrr79i1qxZmD17Nv7zn/9g5syZGDVqFFq0aAEXFxfY29vD0dERPXv2RFxcnMkD0Wg0+OSTT0zIkSUSSbWJg3UB7ity+fJlHDlyxGK+1/379zF+/Hi4urrC3t4e/v7++PLLL1FYWGj2+OpeGm7cadOmGakYDMOgdevWuHjx4lN1EGg0GkydOtVoIbKzs8O6detMnqFarcZnn31mpE5ZC6uPHDBgAGbMmIEjR47UKrGQZVkUFBTg6NGjiI2NRUZGBp9qUl5ejqysLNy8eRMnT57EhQsXeF3L3ENOTU1FZGSkiW4YGxv7xB6eNYJWWFiIs2fPYu/evbh27RqUSmWtV7WoqCizKtXYsWOfKo0Syz6ida3s2u7fv7+JrsvJwtKlSxEVFYWgoCCrx7FacHNzc2vEe2sO3GqxadMmvPTSS5gwYQKuXr1qkTGxunEMBgN27NhhZNLx9PTE9evXbZpffaG2m6jKfZWWlmLIkCFm1augoCCrTGj1BW7zOn36dKMvgrOzM7Zt22YiP5y+np+fj/v371s9zhP1nBkMBsTGxiIoKIi33Y4ZM8Ys8Zy14Ipg2NvbQywW48033zRrx/2/BJ1OhxUrVpjlbfD398f169efqrrAsiyuX79uVN9BIBCgV69eZiPhbEGtBdfcLt3SylJeXo7XXnvNaKWwt7fH6tWrbXYhsiyLlJQUTJo0CVOmTHnixUieBlj2UUbuK6+8YpIq3rNnz1otBHU1P61Wa7IHkUgkmDNnTp0kTdZKcDkBzc3Nxa5du7BixQrExMTg4cOHZlWKvLw8tGvXzmSV6N27NwoLC20ePy8vD0ePHq33dBFr51Nb26o15xsMBty5cwdTpkyBl5cXpFIp/P39sX79+nrhiagpWJbFzp07TRI63dzcsH379lrPr9axCsnJyfTee+/RsWPHSK1Wk0QioQ4dOtDixYupbdu2RsdKJBKz/FB37tyhwsJCcnZ2tnpcPObQio+Pp71795Jer6dp06Y9lURHVEjH0Wq1pFQq+VSZmqT5cOeXlpaSnZ0dyWQyIjLvpWIYhho3bkwLFy6kESNG0M2bN6lRo0bUu3fvWqUW1RSo4HGrPFdnZ2eTUgL5+fm0fPlyioqKMhsrUZOBbX6jVCoV3njjDZPYAoZhMHbsWJOUZIPBgN9++82kbFOLFi0serssjZ2SkoLp06ejQYMGfAGQtWvX1vuKy5n0MjIykJCQgMuXL+PWrVu4d+8eUlJScPHiRRw9ehS3bt2qceG+nJwcLFmyBIMGDcKMGTN4Pq7qzjMYDLzToy42gNaCG1ulUhmVCeP+vnfvXrOxEAqFwiIbvLWo1YqbnZ1Np06dMokNYFmWbt26RWVlZWRvb8//XSAQ0KhRoyg+Pp7Wr19PSqWS5HI5vfrqq+Tu7m7ti0bp6ek0depUOnLkCD92YWEhbd++nUaOHFll+aTaAACpVCqKiYmh33//nVJTU0kgEJC3tzd1796d+vXrR/7+/tSgQQNycHCwWFrKXL9lZWX0448/0k8//USlpaUkFospLy+Pfv75Z6NiLJXBxdtWjiHA4xiQvLw8ysrKIiIiT09P8vDwsKroibVgWZYKCwspPT2dpFIpeXt7k0KhoPLycoqLizMp1E1EVFZWRgcOHKABAwbYXMi8VoIrEAjMColAIKCgoCA+FK/i3x0dHWnBggXUq1cvunHjBoWFhVH//v2tvgA8DoU7fvy4yQtz5coVKigoqDfBJXqk1nz//fd07do1PlNXqVTSkCFDqEWLFuTm5mZEMWqNcLAsS3v37qVVq1ZRcXExET2qGXfixAm6ffs2denSpdo+Kic9lpeX099//01r1qyhlJQUInoU/jhixAgaM2YM+fr68hwWXJCTUCissVCzLEvp6em0adMmunfvHnl5eZG/vz9lZmbSzp07LdZWO336NBUWFpK7u7ttL1BNPguVffsajQYxMTHo2rUr3N3dYWdnB4VCga5du5pQ/Jjry5ayp3q9Hu+++65ZG6aHhwfu3LljdV81Bcs+KuPZs2dPPtjbyckJU6dOxcOHDy06SvR6PZRKpUXesMzMTCP/Ptfkcjk2bdpkkwv35MmT8PPzM+lTJpNh7NixOHv2LLKzs3H//n0cPXoU//vf/7Bp0yYkJSXVqJh2YWEhFi9ejICAAEgkEojFYkil0mrLvbq4uGDfvn02q3ZWr7jHjx8nhUJBvr6+5OHhQUKhkMRiMQ0fPpx69uxJiYmJlJGRQTKZjFq1akUNGjSw2Jc1oXFVnRsUFMTzHVSEr69vva62RI9CDRcsWEDbtm2jwsJC6tixIw0ePJhXdSpfE0d+HBMTQy4uLjRx4kRq1qwZvyoDoMTEREpISDAZy2AwWB2AXhn5+flmKzUqlUratWsXFRUVUdu2bSkjI4MuXrxI6enpxDAMtWrViiZMmEBdu3YlhUJBWq2W9Ho9SSQSvuYDN3e1Wk0nTpyg9evXU1paWo3Iqrmkgs6dO5tNz68W1kq4QqGAh4cHhg8fbmQrrYkdty7Asizu3buHDh06mNiDFy5cWCNyYFvH5+yUarW6yrJWnCE+LCyM54nt1q0bHjx4YHT/tm7danaFsre3t3nFvXTpEry8vCyueJaqETEMAy8vL3Tv3h39+/dH+/btER4ejrZt22LkyJH45ptvsH//fpw9exarV69G69atbQ6W9/Lywu+//46SkpIae2RrHB3m7Oxc6x1hbWEwGHD+/HkMHz4cgYGBCA0NxRdffGE2cOVpQq/XY9GiRUZCKRKJsHr1aiPB3bFjh1nBdXZ2xlEzRVWsQXFxMUaMGGGTQNFjT5c5dUwsFsPDwwMhISHw8PCoVbaKQCBAUFAQlixZgpSUlBp5PGssuL6+vmaJgZ8kuBWurKwMDx48QFZWVq15Z+sDGo0GkydPNnlgb731llGA+IEDB8ySJTdt2tRmFynLsti7d69FspDatrosHOPk5IS+ffviww8/tPr6rC5ewjAMOTo60muvvUahoaHWnmYReJzyXLFZC878I5fLyc/Pjzw9Pc3WIHtWwTElEhFf5MPc9Xfp0sXmXbdAIKDOnTtTp06daj1fc6jJ86qun+LiYjp8+DD98MMPVp9n9eZsypQp1KFDBxo6dCjJZLJaCQkeV7lJTEyk27dvk4eHB7Vo0YJcXV1r7PV5loVVKBTy+VYVH3Tlf2dlZZnk3Nnb21N0dDRJJBKjv1cWmKquX6FQUNOmTenAgQN1Jmj1BZZla7S5s1pwly1bRhKJpFrBqu7G4rGxfdmyZbR69WoqKCggiURCERERNHv2bOrXr1+tX4xnBQKBgHceVLwvXLInANLpdBQXF2fy0Nzd3al9+/ZGf8NjB8jVq1eppKSEWrZsSZ6enmZLU+FxZfnU1NSnIrQVHSH1ghorT9WgOvusXq/HmjVrTIIvBAIBvL29sXjxYj7g+GnGlNZV7OxPP/1ksvHq3r07cnJywLIsbt68ieDgYBPdr02bNigpKTHqq6ysDJ9//jl8fHzg7OyMPn364OzZsyZBNVzM7pIlS+qFI00sFpvVybnm4eGB119/HRMmTICHh0eN+rYW9SK4VT34oqIi9O/f3+LEg4KCsG3bNt7P/6SFl2Uf5YrdvXsXOTk5ZiOtKprEVCqVxRgBg8GA7777zmTn7ePjg9jYWOTl5WHevHlmM5aHDBlilNdnMBiwZcsWI9+/QCBAeHg4tmzZgpKSEj6LJD4+HpMnT64XofXw8MDo0aMxePBgs/HAnp6e+PPPP1FaWorS0lKsWrUKDg4OdS64dc5kU90nXqfTUVlZmdnfGIYhiURCBoOBN3o/SZUBAJWUlNDSpUtp+/bt5OHhQbNmzaIBAwYY6Zo6nY5OnjxJ27Zto4yMDAoNDaUBAwZQ27ZtjRhkVCoVXbt2zUQNyM/Ppz179lBxcTHt2bPHxJHCVausWFZArVZTTEyMEeMLALpx4wZNnjyZ2rVrR0FBQZSWlkZXrlyhrKysGlevFIvF5OTkRAaDgUpLS404JhiGoWbNmtGnn35Kffr0oeLiYvr222+NOM7kcjnNmTOHXn75Zf5+jRs3js6cOUN//PGHiZ7PqZ011W+JahmrYAsUCgUNHDiQkpKSqKCggACQUCgkZ2dn6tixI40fP5569uxpRKrGXbA1ujUeWyjMBZ5UB5Zl6Z9//qEffviBSkpKSCAQUGJiIs2dO5deffVVkslkVFxcTL///jstW7aMsrKyCADt3LmT1qxZQ8OHD6epU6dSSEgIERHFxcXR0aNHzY6Tl5dH+fn5Zn35QqGQmjRpYqS7qlQqunnzptl5FxUVUWxsrFXXaAkODg40e/ZsGjlyJLEsS6dPn6b9+/fTrVu3SCKRUPfu3WnatGkUHh5OQqGQ3N3dad68eUREtG/fPhKLxfTmm2/SpEmTjBYcuVxOH330Ed28eZMuX75MAMjDw4N69epFkZGRJJVK6cGDB3T//n2LBCvm8MQZyQFQfn4+nTt3jpKSkohhGAoICKDGjRuTv78/OTo6Gj2wykJriXlQo9HQhQsX6Pz581RYWEienp7UvHlzatmyJTk7O5stilI5MCUtLY2GDh1qwq7i7u5OI0aMoODgYDp58iTFxsaa/WoIhUJq1KgRRUVFkVQqpdjYWEpOTjbZoHh7e9PSpUupU6dOtGnTJlq8eDEfXMONFxMTQ927d+fnWFRURAMGDKCzZ89We49twciRI+l///sfOTk5EdH/v4kuKCgghmHIw8PDhMEIABUVFVFiYiKJxWJq1qyZycaaW0iuXr1KW7duJaFQSP369aNWrVrxixPLsqTT6Uin01nvsrdaqagjcLogxy1V1UaO0zeTkpLw8OFDs5xVXKDHnDlz4OnpyXM0CIVCuLi4oEuXLpg3bx5iYmJw8OBBnDx5Evfu3eMzlbmmVqsxf/58E4IKronFYp410tzvFRvn3jX3m0gkwocffsgXScnPz8enn35qVD60R48ePIs4B61Wi88++6za4BVbGsMwWLRokc2UA9ZsZrk9QV3FDD/TxM56vR6xsbGIjo5G//79sWXLFqPUeE7g5s2bVyXVkVAohEwmg6OjI9zc3BASEoLXXnsNW7duRXJyMu7evYtffvnFIrN3XTWBQIA+ffqYxCoUFhZi6dKlaNWqFVq2bIk1a9aYRGhxwfNRUVE1drNWd7xIJMLvv//+zHkeq8JTW3Gteetyc3MxZMgQCIVCCAQCBAQE4O+//+bduwaDAUePHq0ymKSqJpPJ0LhxY4SEhFisdF6XLSQkBOfPnzf71SgrK8PJkyexd+9eZGZmml39DAYDLl++jP79+1vFwebq6orx48dj2bJlGD9+vMXdvUQiwc6dO18IblXgPo83b95EVlaWxcQ+lmVx6NAhE197SEgIjh49Co1Gg7y8PIwdO7bO/Ob12by8vLBjx44qSew0Gg3Kysosxl1wKtaNGzcwZcoUuLu7W7z2sLAwbNu2DUqlkqcJ/fTTT82a3tzc3JCQkPBCcC2BZR8xW7///vto1aoV+vfvj507d0Kj0ZgcazAY8Nlnn5k8GIZhMHjwYNy4cQPHjx9HkyZNnrpQVtfkcjmWL19u9jorX7NOp7MYKsl9ZcrLy3HhwgVMnjwZbm5uRvdIJBKhe/fuOHfunFGoIMuySE9PNyl7KhAIMHLkSCNnx/OAJ2oOMxgMFBMTQ6tXr6aysjK6evUq3bx5k1atWkXR0dFG1gSWZenmzZsmO3KWZen27duUmZlJIpHIxJf/tCAQCEgkEpnUoBCLxTR+/HiaOHFilTloqGDO4+ynnKtYr9eTSqWisrIyKisro/LyciopKaGwsDC6d+8eJSQkkFqtJldXVxo2bBi9++67FBgYaLS753LjPv74Y5o2bRplZ2fz9uL333//qRRJ5K5Xp9NRaWkpqVQq8vPzs+q8Jyq4hYWF9Ndff/GmJAD04MEDWrJkCUVGRholTLIsazbRjuhRpkOTJk1ILpdTt27dKDEx0Spi6PqCQCAgf39/ioqKovLycrp+/Trl5uaSvb09DRkyhObOnWsV/bxer6eioiK6d+8e3bx5k+7evUuZmZmUl5dHBQUFVFRURBqNhiQSCbm6upKHhwd5enpSdHQ0BQUFUe/evSkyMtJiYRGBQEADBw6kVatW0d9//00KhYLefPNN6tChQ33dmiqh0Wjo8OHDtGnTJkpOTqaSkhKLtmoTWLs0c7vvhw8fIi8vDyqVqkZR6yzL4sKFC2aLeMhkMvz7779GfWk0GvTt29fkWDs7O6xYsQI6nQ4GgwEHDx60OebUUrB0TZtQKMTLL7+M27dvIzs7GwkJCdi3bx9Onz5tVASkqnuj1WqRlZWFf/75BwMGDICbm1uVRVqEQiGcnZ3RpUsX/Pbbb8jKyrLqeXAqiEajear1zQwGA/7++2+TWAZrYfWK26NHDxIKhWRnZ0fu7u7k7+/PU7E3atSIZDIZv+xzx1WOJEtOTialUmnSt0qlom3btlGPHj3Izs6OLx1qrip4mzZtaMSIEbxDoUWLFuTr62tkwK8OIpGI/P39KSwsjIqKiujy5cvV1sKtHOFVESzLklqtJicnJ3J3d+fDNCueaw5cf3q9nsrLyyklJYW2bNlCx48fN3ufKsJgMFBxcTHdvXuXpFIpT65R3arO/f60VSyVSkV///035ebm2nS+1YKblpbG/39iYiIREcXExJCbmxtFRERQ48aN+Rx7hUJBffv2pf79+/OeGIPBQPfu3TOpsUD06AHu3buXRo0aRd27dyciopMnT5rUsJXJZDRlyhTy9PTkH4CDgwM1btzY6k+MSCSi0NBQ+vTTT6lLly6UnJxMs2fPNlvTtyJcXFzIzc2NMjMzTbxmACghIYESExON5mYJnMCyLEsajYbUajWVlJTQ3bt36caNG9W+RBX7USqVT7aGbh3BYDBU+3JWhVrpuAaDgXJycujgwYNGWasCgYB27NhBY8eOpdmzZ1NAQAAVFBTQ5cuXLeqiGRkZNH36dBoyZAgREe3atcuk8EdQUBD16dPH6AGJxWLy8fGxuCJywRyoEMPg4uJCjRs3Jjc3N9Lr9eTt7c3zJJiDRCKhV199lUaNGkWnTp2iH374gbKzs03m/8cff1Dr1q3JwcHBomua6NEKW1BQQOnp6VReXk4ODg7EMAzl5+dTYWGh1TGsAoGAPD09TeIangfIZDJq2bIlxcbG1jjAhqgON2cVBwdABQUFfO2tgQMHUkZGBh0/frzKh5KcnEzLly836Y+Dt7e3Cb8YwzDk7u7O1+PiIBKJyMXFhVxdXam8vJxycnJIq9WSTqejq1ev0j///EOTJk0ipVLJC7Slufn6+tIbb7xBERER1K5dOxKLxTR37lxSq9X8MQaDgXbt2kUDBw6koUOHmsRG4HGKzv3792nPnj109OhRysrKIh8fH+rduzc1adKEF2RrIJVKqWHDhjR9+nRq3ry5Vec8SxAKhTRu3Djavn07T1hSI1irDJONGxeGYSCTyWyutlOxNW/eHHfu3DHaTOj1evz2229wdnaGUCiEXC5HmzZtMGfOHOzcuROHDx/GjBkzTDxjHh4eeP/997F582ZMmDABLi4uZjdCDMPg7bff5nnQOFu0OQIPgUCArl27IjU11cRdy7mvO3ToAHt7e75ypIODAzp16oQJEyYgIiLCqlRvDw8PTJ8+HXFxcU+Vfby20Ol02Lx5M4KCgni3tLWod8Gty2ZnZ4eZM2ciOzub30EbDAYkJCTg7bffxrhx47BmzRqkpqZCpVJBr9dDo9Fgx44dcHd3NxHI9u3bY8eOHYiLi8PSpUvRt29feHh48Lt5oVCIli1bIj4+3kg4DAYDli1bZjbgRSqVYt68eSYxFTdv3kSbNm3MvhwSiQQKhcKqABqGYdC9e3ckJCRUWyjPYDBAo9GgvLwcJSUlKCoqQlFREe9Ne9oCz7KPCATPnTuH999/H/3797f63Ge6CHVlqNVqWrNmDRUUFNAHH3xAYWFhJBKJqHHjxvT555+TVColR0dHfqMCgBiG4bOAKwIA2dnZUWhoKAUGBlL79u3pjTfeoOTkZDp27BglJSWRo6MjjR49mpo3b25izO/WrRu5u7vzhHIcNBoNrV+/ngYMGEDt2rUjokdFAzdu3GhRj9ZqtRY5tiqDZVnKyMjgA9jNAY+tOxcvXqQDBw5QamoqlZWVkUqlIpZlydfXl6Kjo6lfv37k5OT01DZ1nNMmMjKSIiIijFSvamGthNMzsOJyTSQSITIyErt27UJpaSlv061sk+T+ffDgQbi5uZmsXFOmTEFpaakJK49er4dKpTIqkF0ZWVlZ6Nixo8VVcdSoUXj48CE0Gg0uXbpkRCtf2yYUCtGlSxecPXvWYjDOnj170KxZM4jFYpNyXAzDwMXFBdOnT68zavsnjedScLmH17NnT1y7ds1sjCf3b6VSiXnz5pkk90mlUvz4448Wg16qQ0FBAaKjo6tUa0aPHo3ly5dj4MCBFith2toYhkFUVBSSk5NNBC87Oxv9+vWr1rnC1eBISUl57oT3uRVcokcURT/99BMKCwv5IGUuQF2n06GgoAAbN25E48aNTc51cnLC9u3bqwyerhyCWXFlfvjwITp37lztyyWTyWpViLq6/t977z2jpEqWZXH06FGrvYkikQh9+/bFlStXnmoZgprCah1XoVCQWq0260B4WigtLaXNmzeTk5MTOTs7U15eHpWVlRHLslRUVETx8fF09uxZysnJMTnXWieBTqcjvV7Pc8cKBALS6/V069YtevDgQZV91NbIXh0MBgNt3bqVJk+eTKGhobxef+XKFbNeR3PQ6/V0+PBhmjJlCv30008UGRn5XNiErRbcrVu30tWrV2nDhg10/fp1m4zGdQ2DwUAXLlyg1NRUPjNVq9XyNlODwWDRNlteXk7nzp2j6Ohos7lUREQ5OTl0+PBhSk5OJjc3N2revDn5+fnxFJnmaDyfNDIyMujMmTP8Rg2PA5dq8nxYlqWLFy/StGnT6JdffqH27ds/+144a5dmLhDk7NmzaNeu3XMRvF1da9iwIXbs2GESuM0+JtRYvHgxGjduDEdHR3h4eKBt27Z49dVXMWLECPj6+j4z92DKlCl8UXCDwYBPP/3U5r4iIyOfi6DyGgWSc3a3mJgYE7vo89gEAgFCQkKwY8cOPseLs3/euHEDXbt25W2rgse1jOVyOeRyeb3prba03r17o7i4mH9GmzdvtnkzKBAIMGTIEJ5p51lFjTMguOS+8ePHmxjMuSzVqlYirkKOQqF4JlYsjqP1zz//RHl5OQwGA9RqNbZu3WqWip4752nPu2ILCgoyKiGQlJSEoKAgi8czDAM7OzuLL5+9vT3+/vvvZ1pwa6yFcwVLXnvtNWrcuDGJRCISCoXk4OBALVu2pEGDBlHXrl3J09PTyF/PMAw5OztTnz59aPbs2TRgwACT4iZc/0+avebu3bs0d+5c2rx5M+Xl5VFubi5duHDBIkEFnjCJHMMwfHSaOX6I9PR0unTpEj8vX19fatmypcX+xGIxhYeHm7DlcFCr1RQXF/dUg/Org9WbM5ZljQQqODiYoqOjaffu3aTVaqlly5b06quvUsuWLamsrIyOHj1K+/fvp/T0dBKLxRQUFET9+/en3r17k4uLCx05coQuXLjAc8UyDEO+vr4UERFBhYWFdPHixZp5UmqJ1NRUmjdvHl2/fp0cHBxoz5499WoRqAxLQT5CoZB69uxJM2fOJAcHB9q8eTP9+eefRqGVGo2Gfv31V+rSpQtfTcfT07PK8Tw9Palhw4aUlpZmEtiDxyW5uNhqaxYSPC5PpdfriWEY3gJT8bpQiWGoNrBacL///nvy8vKioKAg8vb2pvLycvL39yd/f38qLCwkiURCxcXFlJeXR2KxmJo3b04NGjQgqVRKfn5+FBgYSO7u7iSRSEilUpFKpeIFUyAQkJ+fH3399dfUv39/ysjIoBkzZtDp06drdXFVRXxVBgC6f/8+rVy5ksRiMZWXlz8Ry4mHhwd17NiRmjRpQllZWXT27Fl68OABGQwGEggE1Lx5c1q0aBG1atWKBAIBtWvXjjw8PGjx4sVGL3ZcXBzNmTOH3n//fWIYhpKTky2OqdVq6eLFiySXyy26mgsKCkitVhtxoZkDJ7Cpqal07NgxevDgATVp0oS6d+9ODRo0IKFQSCqVilJTU0mr1VJISEjd0MharVMwDKRSKfz8/DBixAh8/vnnmDRpEpo1awYXFxe4uLggICAALVq0QMeOHTFo0CCe21+j0RgFxdy9exdDhgwx0pFDQ0Nx4cIF6HQ6FBUV4dVXX7VZlxQKhVAoFFAoFPW+iapOp6/qvIiICGzfvh0lJSXQ6XRQqVS4dOkSpkyZgoCAADRp0gRr1641snpwe4yxY8earegZFBSEdu3aWcWQWNW8mzZtilu3blXLTqPRaLBr1y507NgRcrkcEokEHh4eGDduHPbu3YsLFy5gxYoV6NWrF3r37o0jR47UiaPDJs+ZTCZDq1at0KJFC8jlcpMbIBAIIBaL0alTJ1y6dMkojkCr1WLdunUmuWd2dnZ45513cPHiRezevRvh4eE2CZJIJEJAQAA6d+6M0NBQyGSyehNasVgMb29vBAQE1GizKRKJEBERgdjYWCNeCe4elZSU4MiRI9i9ezfPFVxZYG7cuIGwsDCLAlnbDaRCocDvv/9uZG2pOD5nMly7di0CAgJMxpNKpQgJCUFUVBQCAwNhZ2cHFxcXLF261CxvRE1z32yKDlOr1TyNpUqlMvkc43F00vXr1+nixYvUokULvmJhbm4u/fPPP0Z0mVyfq1evpj179pBarTbr7aoOQqGQQkNDaeDAgSSVSun48eOUmZlJarW6Xj77zs7O1K9fPwoPD6e7d+/SqVOnKC0tjTQajYleJxaLSSqVkr29PQUEBND06dOpS5cuRnl53H8VCgVFRUWRwWCwWHGzWbNm9PHHH9OMGTNMvGSVn4ctUKlUtHHjRnJ1daVGjRqRSCQyyuB48OABbd++nbZv3252E6vRaCgpKYlSUlJ4h5BYLOYdRBXnqtPpKDs7m3Jzc6lNmzZWzc/msEbgUaXvqgSirKyMdu/eTYMGDSIvLy9SqVS0ZcsWOnXqlMXwvtTUVJvmIxAIKDg4mD766CPq0KEDZWZm0oMHDygpKYkXpIrMgLUVZKlUSq1bt6bXX3+dwsLCyGAwUFpaGqWnp5NareYFkntQ9vb2PPevQqGg1q1bk1QqtZhGzjAM73qtfAz37xEjRtDx48dp3bp1JhYAsVjMj1eRut9aAKCLFy/Su+++yyeDVuxHq9UavaCW+qgYIlDZm4nHLJsHDx6kFStWUGJiotXP32bBZVm22rgFAHTixAlauHAhRUVFUXx8PK1du5ZKSkpsHdYinJycaPbs2TR06FCyt7cnDw8Pio6OpuzsbMrLy6MmTZpQy5Ytyd7entLT0+ns2bOUkJBQbXawRCIhe3t7EgqF/PXKZDJq27YtvfPOO9SxY0eex8DHx4eITE16FR+UTqcjjUZDUqm0ynHN7cYr/y6Tyeijjz6i69ev0/nz5/njhUIhNW3alPr27Uuurq5UUlJCBQUFVFJSQnl5eXTnzp0qiZ8ZhiEHBwcSCoWUlpZWZ/EpGo2GEhISqKCggLy8vAgAZWVl0aZNm+jkyZNWJ4kSEdmk4woEAshkMqu9MxKJBI6OjlXWDbCmcekulf8uFArx+uuvIy8vz8j7VVBQgGPHjuHAgQO4f/8+1Go1dDodzzu2bds29OjRw2Regse1t7p374758+dj165dOHToEHbt2oWtW7fiyJEjePjwYY15CSrq+dbUy2Ufs1FayljgrvPYsWNo164dpFIpJBIJgoOD8euvvyInJwdqtRoajQYqlQrl5eUoKCjA0aNHLbI+isVidO/eHYsXL8aMGTNM4phr29zc3PDdd98hJycHKpUKKSkpmDVrFnx8fGBvb2+tOMJqYmdzb7yVp9YaDMNQcHAwDRgwgKRSKZ05c4bi4+OpvLycGIahDh060MqVK40yFbi5cZ+mylXB8TjrNysri/744w/aunUr5eTkkKurK3Xo0IH69+9PHTt2JFdXV94maQ41Neugwqork8ksVjFChc/otWvXqFOnTtShQwezxMksy9KNGzcoJiaG8vLyqGfPnnx2Q+U5ctd9/vx5ev31143MZmKxmMaOHUtffPEFH0y0bNky+vHHH61O4rQGXl5e9P7779OECRP4L+C5c+fo/v379MUXX1jXibUSTnX41tWkCYVCREdHIyEhgWdfycnJwfbt2/HRRx/hq6++wrVr1yyyPlYHbgXMycnB/fv3+ZWgvnKyWJZFUVERLly4gKysrCpzxi5cuIAWLVrAzs4ODRo0wAcffGD2HG7lLSsrQ0FBgRFptaW+dTodVq9ezSeJSiQSjB07Funp6UZWjvz8fHz22WdwdXWt02qSXC4fFz/N1Ua2Fs+s4HIUQ+PHj+cj9CveUIPBAK1W+1RphGwBJ5BjxozBvHnzkJuba3buOp0OX331lZE6JpFIMGbMGIvCWzngvbp5lJeX4/fff8drr72GBQsWmLCgVzxu9+7dGD58OBo0aACZTFZrZnRvb2+cPHnS5uf2zAmuQqFAv3798MUXXyA2NhZFRUXPjVBaA51Oh++++w4ODg5wdnbGJ598guLiYpNrVKlUmDhxoskqJ5FI8PHHH0OpVJrYf2siuNx5er0e5eXlVdZC5haKoqIiJCQkICYmBp9//jm6du1q874lMDCwWgdHVXimBNfOzg5ffPEFsrOzLXLEPu9Qq9UYPXo0L5AKhQJff/01X9eNg0ajsUjE7Ovri2PHjhndI41Gg9LS0mrVhNqi4gYzKSkJI0aMsKmCenR0tFGiak3xTOVoNGzYkMaNG0ceHh58cMczH4lfAYB1hbUr2jK58rDbtm0zsrWKRCIaMWIEtWvXzsQJkZ+fT//++y/l5eWRUqmk1NRU2rhxI82dO5d+/vlnSk5OrrHd1lpwz0QsFlPjxo1p6tSpJuxC1cHZ2ZkmTJhQu5gFayW8ffv28Pb2tuntsrZFRkYiMzPTqje+qs9iVcdw/+Y2Beb6MHe+NaYrvV6PO3fu4ODBg0hOTja7YTQYDJg/f75JDEWnTp3w8OFDo8+/TqfD1atX8cEHH6BFixZ8TEjLli2xcOFCXL16FWfOnMG7774Lf39/SKVSyOVydOjQARs3buRXtPpcfR8+fGjWPS8QCODm5obQ0FA0atQITk5OkMlkaNSoEb777rtaM/BYLbjZ2dk4f/48xo8fb7GkUm1bUFBQlXoPZ9e8fPkydu/ejVu3bpmtY6vT6ZCcnIwjR44gISEBZWVlvJVAqVTi2LFj+OSTT/Dee+9h69atRrWDOX0uPz8fcXFx2Lp1K86dO8dTMFkCy7I4f/48IiMj4ezsjMjISMTFxZkElLAsi+vXr6Np06ZG1+7u7o4DBw6YPV6lUuHevXs4ffo0jh49iitXriAzMxM5OTk4evQo+vTpY6JrOjk5YcyYMThx4kS9qg9FRUUYOHCgkS6uUCgwceJExMXF4d69e0hKSsKpU6cQGxuLmzdvGrH82Ioap+7k5uZi3Lhx9bLyymQy/PPPP2ajh7gH+P3338Pf3x8ymQyhoaFGBUE4of3zzz8RHh4OJycn+Pr6YtCgQVi1ahW2bduGmTNn8l8OgUAAR0dHDB06FLt370Zqairu3LmDDRs2oH///vD09IRCoUBgYCAWLFhQ5SqhVqsxbdo0/r4wDIOJEyeivLzc5Dp0Oh1++ukno1q77u7uVabLm/sCGAwGZGdn48MPPzRbNUggEMDT0xMTJkzAoUOHkJ+fz5OncCn8lshUrIVarca3334LJycnSKVShIWF4X//+58JoXVNN47VwabUnYSEBAQEBNS54AoEAowePRqFhYVmxz1+/LgJg3WbNm2QkZHB35SkpCQ0a9bMpG+pVApHR0ezZhyBQAB3d3dERkYiIiICjo6OJrt5Nzc37Nq1y+KNz87ORocOHYzOGTZsmNmiICz7KDRx+vTpPGdYixYtcPLkyRqF/HHCe+nSJbRt27ZKO6uDgwPatWuHUaNGYcqUKZg0aRJef/11vP322/jpp59w+fJlI0tFTeaQmpqKlStXYtWqVbh58yZ0Ol2N+rAFNlXdUavVGDduXL2oC25ubia0+sCjXfbUqVNNHo5cLsfevXt5wd20aZPNzJDVhQO+8sorUCqVZu9JcnIyGjVqxB8rFosxf/58iw+RZVncu3cPU6dORUREBKZPn46UlJQax6pyFoXly5fbVKuNC0ENCgrCu+++iytXrlRpGjM3PqffP0kiPZsE12AwYMmSJfWiLggely8qKioyGjMlJcVsaSixWIyVK1fyq8+KFSssBo8LhcIqy5oyDFNl4HlYWBju379vcj9YlsWZM2f4QoECgQCRkZEmlKiVzzEYDEhOTsbGjRtx8OBBFBQU2PTwWfZR1clWrVrV6t6LxWK0b98ee/fu5dPd6xqckHNeUK6p1WqoVCqr+7E5OkwsFteLqQoAHTp0iA4dOkQjRozgQxH37NljMeStYvifpVBBkUhEvXr1op49e9KVK1fo8OHDlJ+fz0deKRQKCgsLo8DAQEpNTaVr166Z5JwplUqz+VkajYbOnDlDSqWSGIYhf39/+vTTT6lRo0YWr5ObY8OGDcnNzY0MBgPZ29vX5FYZwcfHh0JDQykhIcHmPnQ6HV25coV+++03atWqFc/0XhcwGAyUkZFBZ8+epTNnzlBubi7/vPA4TFKn09Fff/1lVX81Flw8DhJJTEyst5yskpISWrBgAfn6+lJISAhdvHiRfvzxR7PhdUKhkFxdXfl/Ozk5kUgkMjk2PDycli1bRk2bNiWlUkmHDx+mP/74g+7cuUPu7u40fPhwGjx4MHl5eVFRURHt2rWLfvnlF0pMTCS9Xk9isZgiIiLIxcXFyD5aWlpKhw4doj/++IO0Wi25urrStGnTqG/fvhYDaDhwtRscHR1Ngqu5F4o7rjpUN1ZV4ARILBaTXC4nBweHOnu2ACg3N5c2bdpE69evp1u3bpkEk1dEnQsudzN1Oh2dP3+eDh06VK/RYfHx8fTaa69RkyZN6MaNG5Senm72OJFIZJTRysXOVoRAIKChQ4dSSEgIMQxDjo6ONGzYMOrZsyfl5uaSXC4nDw8PnkNXLpfT1KlTKTo6mmJjYyk5OZkaNGhA0dHR5ObmRkSPMjauXLlC69evpz179lB2djYxDEMdO3aksWPHWqw1VhmVhZNbfbKzs0mpVJKnpyc5OztXK5gPHjyga9euVTteZXBZI3379iU/Pz9ydXWliIgI8vLyqvI8PA4S514+SxFuV69epU8++YRiY2NJp9PVeH5VTcAqrF+/HitWrMCHH36IVq1aPTNMLi4uLrh69Sq/SYiJiTHZnInFYuzevduieaYqJ4S5MqVqtRp//PEHmjZtanQfHBwcsHLlyiqZwquDwWDAzZs38cYbb6BVq1YYNmwYduzYYdGOzJko33rrLZsCX9zd3fH777/zUWVarbZaPVuv1+PKlSv45ptvsHz5crObSpZlcenSpRrTdVkLq48Ui8UQiUR8JfOnLbBc8/X15WsuGAwGfP/99yabLwcHB5w+fbpOdrwsy+LBgwdmSZ0DAgJMaPdrCp1Oh99++w2Ojo78Rs/d3R3ffPONSTAOy7LIzMzExIkTbXYKBQUFIT4+3mpbrsFgQFxcHFq3bg2xWAyJRIKOHTvi4MGDfHC8Xq9HfHw8OnbsWGNZsRa1CrKpT/evtS06OpqPIFOpVBg9erTJMQ0aNMCNGzfqTHDPnDljtkJm586dUVhYWKtxOEdG5Qfu7u6OHTt28CsbZwb78ssva+XJ9PDwwLFjx6x2aZ85cwYRERFG8xMIBPDz88PXX3+NkydPYt26dSbH1LXg2mxVkMvlFBkZScXFxXT9+vW61V+shIuLC02aNIkcHByI6NGm7vr16ybHeXl58bppXaCkpMRsRkCLFi1ILpdb1Pe4xEWxWGxRL9RqtfTgwQOT/UNJSQk9fPjQ6O8Gg4FSUlJMSD0EAgG5u7tTixYtSCwW0+XLly1WcCwuLqbjx49Thw4djCwyFcdhWZZKSkro4MGD9NVXX9GtW7dMNpNpaWn09ddf07Jly0itVtc7C5DNgtupUyf64YcfSKfT0fvvv09Hjhyp8niZTEYhISEUHh5OcrmccnNz6ebNm/TgwQObLtLOzo5mzZpFgwYN4m82l3laEQKBgLcG1JVpRywWm5Afi0QiatmypVkuLgBUXFxMO3fupKtXr1LXrl2pf//+Jry8RI8KdZur++Xs7Ext27Y1GlcqldLIkSPp2LFjlJ6eTgDI0dGR+vbtSzNmzKBWrVoREdG+ffto9uzZZvl8tVotbd68mXr16kXt27fnK8CXl5dTZmYmJSUl0fXr1+nEiRN05syZKgmjtVotFRQUVH3z6grWLs1USUWYO3cutFot9Ho9/vjjjyq9VR4eHvjhhx+QmZkJlUrFlzBKT0/H33//jS5dutRosycQCDB06FDk5+cbRVMVFhYiKirK6LigoCCjT2FNIr7MgWVZXLt2DT4+PkZzcnR0xP79+81u8srLyzF37ly4uLhALBYjJCTErM7Nsix27txpQmIiEAj4uIfKOq5Wq8XJkyfx1Vdf4auvvkJsbCwfJ8C14uJiDBkyxOL9FAqFaNeuHebPn4///e9/+Pzzz9GnTx/4+Pg8cUpVq+XR6gMrXejChQt5hf706dMW+XKFQiE++OADs35wbkN19+5dvPLKK1ZnDdvZ2WH9+vUm/el0OqxcuRKenp58eN+uXbuM2Fjy8/Nx9uxZ3Lp1y6YoJXMvCNGjVJQLFy6Y9KfX67Ft2zajGAuhUIjPPvvMyDvFsiyys7MxcOBAszq6ub658zj901KYZmlpKUaMGFHtYiCRSGBvb1/rtJyKfdbX5swmVYFlWT7fXiwWV0mw4eTkRIMHDzb7WeSCkgMDA+n7778noVBIW7ZsqbbmF2e0N/f3l19+mezt7clgMFDPnj2pYcOGvA20qKiIvvjiC9qyZQvJZDJ64403aObMmTWq9cV52UJDQykuLs6oVsTDhw+pdevWRp/z+/fv06JFi4x0TIPBQKdOnaKCggLeBl1SUkLLli2j2NhYo/EYhqERI0ZQixYtLJKHcNdeGaiQ0XvmzJkqrwuP7cd1AYZhKCQkhLp160aOjo6UlZVFly9fpnv37tWMO6EqWCvhVOnN6NSpE+7duwe1Wo1ffvnF4s62SZMmRgHSlsCyLNLT0zF16tRqg0WEQiHmzZtnYi/lVnClUmk2UCQhIcHoE69QKPDVV1+ZpM1UB51Oh1mzZhmtJkKhEFFRUfj3339RUFAAlUqFtLQ0vP3222a/JB4eHtiwYQNyc3ORlJSE9957zyjMkWvu7u6Ii4uz6cugVquxY8cOm3nYbG2dOnXClStXoNFooNfroVQqkZKSggULFsDb2/vpqQrcQ//2229x7NgxDBgwwOInISIiwmyYoqWbnZeXh2+++QY+Pj5VfmaCg4Nx7do1i3Gq5h70pUuXTMxYjRo1wuXLl2sUDZWdnW2iKhA90v29vLzQt29fTJs2DYMGDbLImigQCNC4cWMMGzYMbdq0sbhH6NOnT41NbCzLIicnBx9//HGdE3pU1+zt7RETE2PWIVFSUoKZM2da1JkZhrH6Gm0WXM5216VLFzg7O1u8kPbt2/P1Cay96RwLYFBQkEXhZRgG0dHRuHr1Kh8MzW36LHmuMjMz0a5dO6N+5HI5/vrrL6vCCdnHQeA//PAD7O3tq3yAQqHQ6tq8Vf327rvvmtQFrsrrx7IsMjIyMHbs2DovCmhNi4iIQEZGhsX7t3v3brMMmgzDQCwWWy0ntSK9S09Pp+zs7Cq5pbioH5jhvzIHgUBAcrmchg0bRvfv36elS5eaNcGwLEuHDh2iV155hYYPH06hoaEEgCdK5lhcKsLDw4OmTJlCiYmJfJ8ikcii7bXy9QKgffv20cKFC6vV1ayloa8umCU7O5vKysrI1dWV10Pv3r1L165do9LSUvL19aVWrVqRh4cHCQQCysnJof/+978UExPzxGvSMQxD/fr1I3d3d7O/CwQCCggIIAcHBxMTKB4z8liLWhWhxuOgm6qQm5tLaWlpRhFc1fWJx8Z6V1dXUigUFm2HLMvSrVu3KCkpiWQyGTk6OlKPHj0oJCTErOAKhUIaN24cqVQq+vHHHyknJ4c6d+5cLbUlHm/Ajhw5Qu+//z5lZGRYdS1CoZCkUilpNBqb6ilwL+f8+fOpW7duVFpaSrGxsXTixAnKzMzkQyHDwsJo6NChFBwcTAcPHqTNmzc/EaFlGMYoki04OJheffVVi9SoRI/s0S4uLpSdnW30d+6ZWw1rl2ay8dMhFovx3XffWZXOwdklz58/jzlz5iAiIqLaT3LFxtWm5VJ5LEGr1fLEFrdu3apWTWBZFrdu3ULLli2tngunw77++usIDw+vlXucK1NVFfmGQqFAWFgY/Pz8nojdlWEY+Pv7o1OnTujQoQOGDBmCPXv2VBuAnpOTg8jISIv9WosnQggSHBxcbdE3lmVRVlaG5cuXo3HjxhCLxTWyATIMg5CQEGzZsgUajaba66m4iatu46PT6TB79uwazcfJyQk//fQT7t+/j3Xr1pnkytV1UygUGDp0KGbMmIH27dvbnL5kbRMKhejUqRM2bNiACxcuGLFXVoXMzExEREQ8H4IrEAgwbNiwKou+6fV6rFy5ko+KqkkTi8Xo3Lkzdu3aZVPCX1XgzHQ1NSn16NEDGRkZMBgMKCwsxGuvvWZ21fXw8EDPnj0REhJi86rs6OiId999F8nJySgpKcHdu3exbt06jBkzBh07dkRkZCS6du2KLl26oHHjxrWme+Wat7c3vvzyS9y+fdsqkyLLsjh79myVlg5r8cQomCQSCebMmWM2xZtlHxFLNG/e3KaHNm3aNCQmJtaIsZGzEFRMzzYHg8GAHTt2GFUjZxgGDg4OcHV1NbtzZxiGr2rOrejHjx83cRM3a9YMO3bsQG5uLvbt2wdfX98aXbtIJEKrVq2wdu1aEzcvp3aVlJSgqKgIpaWlKCwsxJUrVzBt2jSzNmNbFiRPT0+MHTsWu3btqtJsx7mep0yZUuWXy2p5tPrAOnhD5XI5Fi5caNbnvmvXripvprmLdXJywn//+18+ZqEqlyjnFlUqlbh//z727duHr776Ch999BHWrl2La9euGRGHcMffunULAwcO5OOQvb29MWvWLOzduxeHDx/GzJkzzcYWcGYsbg5KpRLvvPMOJBIJGIZBcHAwDh06xI9XWlpaZTwB14RCITw9PdGjRw9eFanqxTNnOktPT8eECRPqrLALZ79+4403cOrUKf75VryPDx8+xIcffljtmNaiVlaFmqK8vJy+/vprKisroxkzZvDuTp1ORxcvXrRoYhIKhcQwDLEsy5tMxGIxde7cmSZNmkQuLi5EZEraXF5eThkZGZSenk6pqamUnJxMd+7coZs3b1Jqaiqp1WoCQEKhkDw8PKhdu3bUsWNHCg8PJ4FAQJcvX6Zdu3bR9evXyWAwkLu7O3399dc0btw4vv5X06ZN6fLly3Tq1Cl+vnhcP6GgoIC8vb35nK4JEybwld4/+OAD6tGjB+8elslkFB4eTrt37zabEiWXy6lly5Y0YsQI6t69O4WFhfHpQdXltVUEAPLy8qLZs2dTaWkpnTx5ksrKykiv15PBYLDZ+pGdnU3r16+nf//9l6KioqhLly4UEBBASqWSEhIS6PDhw3T16tW6s3Y8yRWXa2KxGL1798aff/6J8+fPY8OGDSaljwQCAezs7ODl5YWgoCD4+vpCoVBALBbzZZq+++47I8a/itFQu3fvxtixY9GoUSPI5XKIRCKrNlecIVwsFpvonJ06dTIiPgaAsrIyjBw50uLXpaCggE/Hvn//Pnbs2IH4+HgTJ4nBYMDq1auN9E+O0r9///6IiYkxSl+vjR7PPg66P3fuHD7//HNER0fDz8+vznRf7j7akjFjLZ7oistBp9PR4cOHKS4ujmQyGen1eiODNMMwPKV9ZGQkKRQKSktLo2vXrtHDhw/JYDBQaGgotWnThk9wxGOb8o0bN+inn36inTt3UmFhYY0TOiuu6uZQkVYfABUVFZlN5CwvL6fFixfTnTt3qFOnTsSyLN2/f59PX68IPE5xV6vV5OTkREqlkry8vKhnz5708ssvU5cuXUihUBBRzan7LUEqlVLLli3Jy8uLQkNDacWKFSa21dqguvtYWzwVweWg1WrNRiRxFWUCAgKoZcuWFBgYSEKhkAoKCignJ4d0Oh35+flRaGgoCYVCYlmWysrKaPv27bRo0SJKSkqqlwLKKSkpdPXqVerZsycxDENKpZK2b99uMbs2Ly+P1q5dS3/++SdfM0MqldK5c+do6tSp1KZNGxKJRJSdnU1HjhyhnTt3kpubG73++us0YcIECg4O5qvz1CWHRcW5+Pj4UPv27Wnbtm1PrKZHncDapZnMLOsikYgnOzP3e22aSCSCj48PXn75Zezbtw+FhYXQaDR84zJvDQYDysvLsX79+hrvymvaBAIBOnTogLVr12Lv3r34z3/+w7PX1LQfBwcHBAUFoXHjxnB1dYVUKoVIJEJISAjPIVaXZj1zqKhaTZky5Yk4LqpTG6xFrVZcd3d3atOmDd29e5eSk5Pr1M2o1+spIyOD9u3bRx4eHtSpUydeLaicF8VVp8nMzKyz8c0Bj2Nbr169SiKRiFQqlU3XDIBKS0vNurJzcnKooKCgzkmt8dilyrIsv9nlVl7uvtbXp10ikVDDhg2pTZs21KBBA74Q4+3btyk7O5tUKlWNx66V4Gq1WsrLyyO1Wm10k4VCIUkkEtLr9bVOolQqlXT69GkqLS01CfjmbrxQKKy2ymFdAUDdBUObQXFxMR04cID69etHEomkToQXAKWmptK2bdsoPz+fOnfuTFFRUXySqVarpaysrHq5f35+fvTOO+/QmDFjyNPTky+tqtFoKD8/n+Lj4+nMmTN069Ytiwmdli7KKpCFZV8sFht9YsRiMQIDA9G9e3c0bNiwTlLYvb29q4yZ1Wg0mDNnzjNDUlLb5ufnZ6QuVIwztkWF4Kqt29nZQSgUwsPDA7NmzcLt27dRWlqKuLg4BAUF1ek1SKVSdO7cGbGxsRZdwRUdJcXFxcjNzbX6muo8OkwkElFYWBh17NiR9u/fT2lpabUZgogepbVkZGRQRESE2d9FIhG1a9eOHB0dTYpbC4VCEgqFNtsonwbS09Pp448/piVLllB4eDixLEupqal05coVkkql1KNHD/L09LR6Nc7IyKAjR46QWq0mokcRe7/88gvFxcVRp06d6ObNm/Tw4UOb5ysUCsnZ2Zn8/f3J19eXfHx8qF27djRgwADy9fU1yYjmwM1fLBbz6oq1qHOrgl6vp9LSUlKr1aTRaOpEb1Kr1XTmzBnq16+fSZVHPP68NW3alIKDgyk+Pp7PhfPy8qKIiAjy9vampKQkunTpUpXp1c8KANCpU6do5MiRFBwcTGq1mlJTU6mwsJAkEgmNHz+eFixYwJvIqoO5MEOdTkfx8fF07dq1mocUVoBMJqMJEybQ5MmTyc/Pj2QyGUkkEv451VvxGWuXZqrBZ8LZ2RmhoaFG/v3atoCAAGzZsgXFxcU8t6parUZ5eTkyMzOxZ88ejBw5EsHBwWjVqhXefPNNbNmyBXfu3EF6ejrOnDmD2bNnIygoCHZ2drxx/FmklaqueXt749KlS1arDEVFRRgwYECdz0MgEGDs2LF8DY0nCatr+Y4ZM4YePHhACQkJVhF4cC7auoSrqyuFhISQl5cXCQQCnhlGpVJRaWkpabVa8vPzo0GDBlF0dDT5+vqSRCIhokcZCUVFRXTz5k26ceMGFRUV8bSaGo2Grl+/Tvv377cYJM7Zi628XfUKkUhEixYtolmzZpFQKOTnBAvUpCzLUkxMDE2cOLFOGWbs7OxozZo1NHbs2Cdf1staCddoNMjJycH69evRsGHDp77qVG6ci7hLly44fvy4SXXyihscLiqMswNztuCYmBg0aNDApG+RSAR/f380aNDgmeBLIyIMGjSIj8biIt2Ki4sthnUWFhaa5WyoTZPJZNiyZYvNq625jae1sLpAn0QiIXd3d3r11Vdp0aJFdcrFVRcAQGq1mu7du0dlZWUm3FycvsUwDIlEIhKJRLw9k2EYsre3p5deeokGDhxodvXg0lKaNWtWZSV1S5xgdY2LFy/SjRs3jFZbrpmDk5MTTZw40SLruS1zVqvVtGfPHiouLq5ybHPA4/y5ixcv0sqVK+m9996jyZMnWz+4LW+JWq3Gxx9//FSySKtrEokE33zzjU01DFiWxdq1a008gQKBAIMHD8aFCxfw119/mdQoI3qUgTB69GgsXboU7733HkJDQ+t1dRaJREY1fa0xlz148MBitSRbdXyZTIapU6ciMTHR6hWTZVkUFBRgzpw58PLyMrpP1sKm4iVcTGf37t2fyU1N5SqNNbmuixcvmqUQ7dOnD9LT01FWVoZVq1YZZWowDINRo0YhIyODL2F//fp1DB48uF6FNyIiAsnJyVZfZ1ZWlkkUXl00hmEQHh6OjRs3WpUJoVQqMWfOHLPRaNbCJsEFHj3kY8eOoWnTps+c8EokEixZssTiqlvV6pSVlWV2Re3UqROysrL4l7Zr165G4y1fvpwvFMiNcePGDQQHB9fbddrZ2WHt2rVWrXQGgwHHjx+vV4IQNzc3rF+/vsrEWL1ej7///tsiF4e1qJXgarVa7Ny5E926dTNb1O5pNj8/P7OExSz7iMV73bp1WLt2LVJTU40efFlZGQYNGmTSX/PmzXH//n0+m6EigbRIJML3339vIrg6nQ4ff/xxva66PXv2RGZmptnr5Oio0tLSsHv3bnTu3Lnen1GHDh2QkpJiknWh1+tRUlKCnTt3ml0YnpjgVnw4Dx8+xLZt2zBhwoQnTvlT3U1MSkoyeqilpaWYOXMm5HI5pFIpunXrhjNnzvDCq9Fo8O6775o8YE9PT54xMTc314TO9O233zZZ4VmWxYEDB8zSMAkEAsjlcjg4ONTKVS2RSPDf//6XZ2XngsSvXr2KJUuWYMSIEWjZsmWd5JhV1wQCAV8hs6SkBBkZGYiLi8OaNWvwySefYMiQIdVmO9e54J44cQInTpzAqVOnEB8fj6ysLCNaSy487vvvv7fIl/Wkm0AgwCuvvILc3Fx+jqdPnzYKRRQIBGjZsiWOHTsGrVYLpVKJ9957z2SVFIvFWLRoEfLz87F161aTF7RTp04m5U9Z9hGHV2U+Bjs7O4wcORIxMTHYv38/vvvuO0RERNhM7ymTyTBmzBhs2rQJGzduxJQpUxAQEPBEYzckEgnat2+P9evX4+HDhzh37hxGjx4NNzc3q7NP6kVwpVIppFIp7Ozs4OLigl69eplUB+c+wxX1v6fdpFIpvv32W57BccWKFSbWEIFAgGbNmuG3337Dvn37LG46g4OD8Z///AeRkZEmv/v5+SExMdHkk81xjTk5OYFhGLi6uuLTTz9FXl6ekTXg/v37mD17ts0JjFzAU035KMw1oVAIe3t7SKVSq/ry9/fHt99+i/v37/M28i1btsDFxaXGY9e54Jq7UYMHDzZhYtRqtZg2bdoTE0yJRAJPT084ODhYvMnNmjXDxYsXUVJSgnnz5llciRwdHREYGGiRPYdhGIsM3XK53KQkFfcyl5aWYsOGDZg7dy727NljtvQTy7IoKirC5MmTn6qTw9vbG2+//TZWrVqF+fPno1u3blXmogUEBPAlVCvm/u3du9cm9aTeBZfoEXdrQkKC0XH1Wee38ovTuHFjLF26FGfPnsWmTZsQGhpq9li5XI5169ahoKAAy5Ytq9OkQK6JRCL89ttvFsP3OI9dVYmOLMvi3LlzZs1x3ItTn/dULpdj0aJFKCgogE6nQ3l5Ofbv329xMyUUCvHJJ5+Y9VKeO3fOIkt9XQiu1Z4zcyguLqaMjAwjj4lAIOBjCeoTDRo0oJUrV9KsWbOoffv2NGrUKHrnnXf4HK2K0Ol0VFpaSiKRiPz8/MweU1uwLEtKpdKs96iix66qiCmOnd1cDWChUEgKhaLG4X81QdOmTWno0KHk7OxMQqGQ7O3tKTg42KhyZ0XY2dlRhw4dzNZ1dnd3J7lcXm9zrZXgsixLRUVFJn+XyWT1LriRkZHUuXNn3sUqFAqpTZs2ZkP98NgdyTAMOTs784E3dY26CCqys7Mzy2zJMAw5ODjU29yJHi0GnCufe36Vw0grQiQSWWThtLe3r9e5Wh0d9gIv8CyhVivuC7zA08ILwX2B5xIvBPcFnku8ENwXeC7xQnBf4LnEC8F9gecSLwT3BZ5LvBDcF3gu8UJwX+C5xP8HzAXKgP114iMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 18\n",
      "\tJ = -1.5450e+00\n",
      "\tbeta = 18.00\n",
      "\tgrad_norm = 1.5561e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 19\n",
      "\tJ = -1.5035e+00\n",
      "\tbeta = 19.00\n",
      "\tgrad_norm = 1.7985e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 20\n",
      "\tJ = -1.5066e+00\n",
      "\tbeta = 20.00\n",
      "\tgrad_norm = 2.1237e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 21\n",
      "\tJ = -1.3801e+00\n",
      "\tbeta = 21.00\n",
      "\tgrad_norm = 1.2513e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 22\n",
      "\tJ = -1.3960e+00\n",
      "\tbeta = 22.00\n",
      "\tgrad_norm = 2.4046e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 23\n",
      "\tJ = -1.2968e+00\n",
      "\tbeta = 23.00\n",
      "\tgrad_norm = 1.5136e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 24\n",
      "\tJ = -1.2803e+00\n",
      "\tbeta = 24.00\n",
      "\tgrad_norm = 1.5617e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 25\n",
      "\tJ = -1.2107e+00\n",
      "\tbeta = 25.00\n",
      "\tgrad_norm = 1.2141e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 26\n",
      "\tJ = -1.2115e+00\n",
      "\tbeta = 26.00\n",
      "\tgrad_norm = 1.3964e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 27\n",
      "\tJ = -1.1579e+00\n",
      "\tbeta = 27.00\n",
      "\tgrad_norm = 1.1888e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 28\n",
      "\tJ = -1.1091e+00\n",
      "\tbeta = 28.00\n",
      "\tgrad_norm = 8.1777e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 29\n",
      "\tJ = -1.1002e+00\n",
      "\tbeta = 29.00\n",
      "\tgrad_norm = 1.3578e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 30\n",
      "\tJ = -1.0889e+00\n",
      "\tbeta = 30.00\n",
      "\tgrad_norm = 1.3518e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 31\n",
      "\tJ = -1.0273e+00\n",
      "\tbeta = 31.00\n",
      "\tgrad_norm = 1.4102e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 32\n",
      "\tJ = -9.8077e-01\n",
      "\tbeta = 32.00\n",
      "\tgrad_norm = 1.5798e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 33\n",
      "\tJ = -9.9219e-01\n",
      "\tbeta = 33.00\n",
      "\tgrad_norm = 1.7487e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAASPtJREFUeJztfXd4VNX29jpTMum9kEKHhIA0QxcE6b1ICdJEigSVEhWkKNJFFEGlXTqCFJVepHdCFemEkEYCgfRepu33+4PfzJdhzkzOlLR7eZ9nPddLzuyzyzq7rL3WuzgAoDd4g0oGUXlX4A3ewBy8Udw3qJR4o7hvUCnxRnHfoFLijeK+QaXEG8V9g0qJN4r7BpUSbxT3DSol3ijuG1RKCFZcjuP0pEePHlRYWFia9atwAECnTp3i7Q8h0qFDB8rJyTFa/ogRI8wuv7KLUFg047q5uZFMJrOkiEqJoqIis3/r5eVF9vb2Bv8ul8spOzvb7PL/V2C24spkMhowYIBJX8l/CzIyMsz6nVgsps6dO5NYLDb4TEJCAl25csXcqv3PQCL4QcmrRzmOIw8PD/riiy+ob9++/5OKW1KbRSIRiUQiUqvVpPFhEovF1L17dxo8eLDB3wOgw4cPm/1h/C9BsOIePnyYxGIxubm5kZeXF/n5+WmV+X8NAQEBJJFISKVS6fy7SCSi1q1bU58+fahevXp0+/Ztio+PJ8YYNWrUiEaOHElubm68ZQKg2NhYWrNmDZnjsMdxHPn6+lLNmjUpKiqK0tLSzCqn0gBvYDJyc3MxZMgQcBwHIgIRwcXFBYsWLUJaWhoYYwAAxpiOGAJjDM+fP0fXrl215ZkiDg4O+PrrrxEXF4fMzEzExMRg8eLF8Pb2Nqu80hJPT0/06tULXbp0gYODA+8zQvE/p7hClakkpKSk4Ouvv8aAAQMwduxYREREQKVSmVyXoqIi7NmzB2+//bbZCvHll1+iqKhIp2yVSoWDBw/Czc2t3BVWKpXio48+wsOHD1FUVIS8vDycPXsWgYGBbxRXCNRqNW7cuIGdO3di7969ePnypUXKyxiDWq02uQzNR3P+/Hn07NkT9vb2ZitF1apVERMTw/sehUKB8PBwnZWhPJR25syZyM/P1+uDmzdvombNmm8U1xgKCwvxww8/wN3dHUQEkUiETp06IS0trczrwhjD7t27rTIbhoaGGp3p79+/D2dn53JRWo7jMHHiRD2lLd4PFy5cQPXq1f87FNfSZZyvvC1btsDOzk6nYyUSCX7//XeD72KMQaFQoKioyKr1USqVaNOmjcWKIZFIsG/fPqPvKiwsRL9+/cpcaSUSCcaOHYvs7Gyj9WOM4fbt2xgxYgTatGkjuA8rlOJqDimzZs3Ct99+q3PQsaTM+Ph41K5dm7eD165dy/sOlUqFzZs3o0OHDmjbti2WLl1qcOYo/i6lUlni9kGlUqFPnz5GB14kEsHf3x/NmzdHmzZt0KJFC1StWhVisRhEBFtbW4wfPx65ubkl1un333+HRCIxWwnFYjFsbW0hk8kgFosNbj1EIhG8vLzwzjvvYMuWLcjLyxM2SPj/+32hqFD2LAC0atUq+u6770gkElHdunVp2LBhFpe7adMmiomJ0ft3Ozs78vPz463HiRMnaNKkSZSXl0dERNevX6dq1apRaGgo7zsKCgpo1apVdPLkSfLy8qJ58+ZR7dq1eW22IpGIfvzxRxKJRPT48WMqKioiBwcHsre3J3d3d+rWrRvVr1+fatSoQdWrVyepVEoqlYoSEhIoPj6eFAoFOTg4UIsWLcjOzs5o2zmOo969e1PPnj3p4MGDQrpLizp16tCYMWMoJCSEbG1tCQAplUqtfZoxRmq1WtsmqVRKPj4+VK9ePbKxsTHJxs9xnGm3sIJVvAzAGMPevXvRoEEDvP3227h27VqJM65KpcKTJ09w8eJF3LhxA8+fP9fOeCqVCocPH4aHhwfvDFG/fn3k5OTolalUKhEeHq73fL9+/XjrI5fLMXPmTO1sSER49913ecsu3laVSoWUlBStGUupVJZo9TDHIsIYQ1RUFLp16waRSCRolu3WrRvi4uL03vd6/fikLFDhFFetViMlJQXp6emClPb333+Hv78/RCIRxGIxgoODERoaik8++QShoaHawxiffPXVV7wHG4VCgY8++kiw4l67dk3vAGRra4s//vijzAayJDDGkJ6ejqlTp5Z4WGvUqBESExMrTN35UKEU11Q8ffpUz5xiiixZsgRqtVqvXMYY1q9fr7MvlEgk2LRpk95gMsYwfvx43vI7deqEjIyMsuqOEsEYg1wux65du+Dr62vwUGXswFpRUGkVlzGGJUuWCF76+KRp06a8tlzGGLKzszF+/Hh4eXnBx8cHH3/8MbKysvTqkZubi/fee4+3fKlUiunTp2u3LxUFarUax48fR0BAgF6du3TpwtvOioZKq7gZGRlo0aKF2UpL9MrO2KtXL8TExPAqr1wux7179/Do0SPI5XLeWSgtLQ3NmjUz+A6RSIQGDRpgwoQJWLNmDZ4+fWryDVtpQK1W49KlSwgJCdFaC+rVq4erV69W+NkWqKSKyxjDH3/8ARsbG4sUV6O8LVq00B5ETIVSqcSQIUMEvUssFqNatWr466+/KoRyMMaQkZGBnTt3Yu3atYiJiSlxZWCMIS0tDSdPnsTVq1eRm5tbLm2plIqbmpqKVq1aWay0xZV36dKlZg0AYwynTp0yyaGlefPmSE1NtagPNCd4c66cDZUlBDExMWjdujVsbW3h4OCAgQMHIiUlpcyVt0LZcYUAAO3cuZNu3rxp1TLlcjkBMNm/WBOOs3PnTlq8eDFFRESUGM705MkTSk1NJU9PT7Pqyxijmzdv0pEjR0itVlP79u3pvffeM9vNVGibGWO0bNkyHUf3ffv2kZ2dHa1Zs4YcHR11nkcxt0qr+22X6WdiBWRnZ6Njx45Wm22JCFWqVMHly5ctdrjJycnBoUOH0LVrV6PbmJYtWyI9Pd3s91y6dEnnYOXi4oKNGzeW+qyXn5+Pnj176rVHJpNh3rx5yMrKglqthlwux8uXL7Fp0yYsWrQI27ZtK/HW0VRUOsV9/vw5atSoYZJiSiQS2Nvbw97eHnZ2dpDJZJDJZHB0dET37t1x+vRpq536NRaJdevWwd/fn9fS8PPPP5utZAqFAiNHjtQrt06dOoiNjeX9jVKpxO3bt7Ft2zZER0eb3ValUokPPviAt49tbGzQtm1bzJkzBx9++CECAgIglUq1ir1w4UKrfliVTnELCwsxdOhQwXvXxo0bY82aNYiOjkZ8fDweP36MS5cuISIiArGxscjJySmVmUqtVuPhw4cYN24cPDw8IJPJ4OnpiQULFqCgoMDscgsLC9GyZUve9s6ZM0dHKRljyMrKwuzZs+Hl5QWpVIpatWrh/PnzBm/lFAoFMjIykJubq6fgmkOxTCYzeVV79913oVQqzW7366h0issYw8OHDxESEmLUhmtnZ4fw8HA8f/683E7wGpNafHw8IiMjER8fD4VCYVGZKpUK06dP522zl5cXTp06BbVaDbVajZcvXyI0NFTPwaZ79+68/rHPnj3D0KFDUa1aNdSpUwe//vorFAqFTv8VFRXh66+/NtlpZ+DAgVa1ZVc6xQVedfKLFy/w66+/YuDAgahevTqkUikkEglcXFzQt29fHD9+3CRvo8oCjQO6q6srr4L4+vpi2rRpWLx4MRo2bMjryeXu7o7k5GSdctVqNWbMmKHzvJ2dHQ4ePKj34efk5GDixIk6vhnGxN/fX5DfiSmolIqrgWZpe/r0Ke7fv4+7d+/i8ePHKCgoqBB20tKCQqHAhAkTzI5scHV1xfPnz3XKVCqVaNKkid6zgwYN4u3L5ORkdOrUqcR3NW3aFBcvXrT6eFRqxbUWysO7yRIwxvD06VMEBwebpbje3t5ISUnRKVOlUqF///56z44bN87gfvj+/fs60QvFxcHBAZMmTSq1rdr/tOJqnJevXLmCo0eP4tixY3j06BFUKlWFUWKN++PLly+RkZGhvXBQq9VYsWKF4OW6+IF1woQJkMvleu85f/68jvONr6+v0SVepVJhw4YNehG79evXx6FDh0p1q/Y/rbgPHz7EwIED4eTkBKL/H3XQs2dP7Nq1C//++y9SU1ORm5uLwsJCrUKXFdRqNS5evIguXbogODgYDRs2xODBg3Hz5k2o1Wr8+++/Jt3YValSBePGjTPossgYw507dzB37lzMmTMHt2/fLrG9CoUCu3btQo8ePdCpUycsWbIECQkJpd5PHPDfzBphGC9fvqRBgwbR5cuXDT7j7u5Ofn5+ZGtrSxKJhGxsbMjPz48GDRpEDRo0oDp16pBYLCaO47QRASURuAGgnJwciomJIR8fH/Lz8+N9FgBFRETQkCFDKCkpSedvQUFBdODAAXJ3d6f27dvTo0ePDLaB4zhq1KgRTZo0idq0aUOBgYFGKaDMAV5NgASARCJR2bAblepnUQZgjKGgoAC3bt3ClStXBN2bFxYW4tNPP7UobNvX1xddunTB4MGDMWTIEPTo0QOdO3dGjx49sGrVKl4/XMYYbty4gU6dOsHJyQn16tXDTz/9xOuokpOTg+7du/O+28bGBn///TcKCwuNOvhwHIc+ffrg2bNnFWbrYy1UasVVKBS4cuUK+vTpAzs7O4jFYnTs2BEvXrww+Bu1Wo0dO3boRfxaU8RiMYYMGaJzrcsYQ2Jioh7xh1gsxujRo5GZmakTHnPkyBGD18ZBQUHa5fjAgQMG29KqVSujhyPN/tkajjpljUqjuJqDVHp6OqKjo3HhwgWMHj0aLi4uOoMlEomwZs0ag2VcuHABVapUKTWl1YhEIsE333yj9ePNyckxeOPHcRz69euH69evIzExERcuXEC9evUM7lOPHz+unUELCgp4zVK+vr5GfWs1TDeDBw/GgAEDsGjRIkRGRlYIX2EhqNCKyxhDZmYm9u7di1GjRqF3795o2bIlfHx8jN7cfPbZZ7zlJSUloXHjxqWutBqxs7PD/PnzcfnyZXz44Ycl+g/b29ujTp06vLxadnZ2eO+993Dx4kW9a93XnW68vb2xefNmo7Pos2fPdMKeOI6Dj48P5syZY1JYuTVhyqxfpoqruTt//Pgx7t27h6ioKCQnJ+t95YwxFBYW4tSpU2jfvr1JJh+RSITVq1fzvv/IkSNlTkckEolgY2Nj9nvFYjHatWuHvXv3Ij8/n3dw1Wo1IiIiMH36dMyePRtXrlwpcfnftWsXr8+BSCRCeHi4nrmstMAYQ2pqKn777TdMmDBB8O/KTHEZY4iMjETXrl1hZ2cHGxsb2Nraon79+hg3bhw2btyIR48eITo6GocPH8bQoUMNMvoZE6lUijt37vDWYcuWLWWqtJYKx3EYOnQoMjIySpyNTN2vbt261eAK4ODggBs3bpg1zqYiNjYWbdu21a6gQlFmipuVlWXUj1YikcDW1hZ2dnZadzhzxNHREU+ePOGtw7///muQY0GI2NvbWyVcSKh4eHgIsqWag8jISKN9cfjwYbPLZowhLy8PeXl5Rusul8vx0Ucf6axGQiGYSj8+Pp5SU1O1zCWmIj09na5du2bw7yqVioqKiqiwsJCUSqVZ7yB6xU5jKBKgYcOGtHLlSmrSpAl5enqSp6cneXl5kZeXl573fnF4e3vTV199Rbt27aINGzZQu3btjNoqbW1tyc3NzWJ7acuWLalevXqlYhetXr06de7c2SDTjrH+MAYAdOHCBRo2bBiFhobSzp07DY7n8+fP6cCBA+YRUAvVcGdnZwQEBGDFihUoLCwU/GVokJCQAC8vL4tmILFYDEdHR6MHM2dnZ4O0m8Cr/WBOTg5SUlK0xCOpqak4d+4cPv/8c/j7+0Mmk0EkEsHR0RG9evXC7du3tftwjZ8AX8wbx3Fo0qQJdu3ahfv372Ps2LFG9+f29vZwc3PjNWfZ2dlh9+7dRmcsS/wriruHvr7/btWqlZ73mFBkZ2frHIDt7e3x008/8VorIiMj9VYwoRD8pKZgR0dHnDhxQvALNFAoFJg/f77ZS23VqlXx448/4p9//sHy5cvh5+fH+5xMJsPjx49Nrh9jrwjrXrx4gZ07d+LHH3/ElStXeJc7xhiuX7+uUweO49CzZ09tqDtjDCkpKWjevDlvPZs2bYoTJ04gKSkJR48exfDhw+Hm5gZ7e3u4u7vjiy++MOhwrjGD7dixA/PmzcPy5csRHR1tFrF0fHw8pkyZAj8/P7i5uaFHjx548OCB2duTGzdu6LEHeXl58fo8xMXF6U1mQmGy4orFYvzyyy/CW1IMOTk5mDNnjknGf47jEBwcrD0pA69skLt37+YlRJZKpbh3755Z9TMFKpUKf/zxB9566y14e3sjLCxMj1xEc0Hwuu9skyZNEBkZqXPhUFhYiISEBNy4cQOxsbFGqU3lcjmmTJkCW1tbEL2yBAQEBODnn382mRJV4xqanJyMpKQki8PNHz58CB8fH71xGThwoN6HpVAoMG7cuLJR3Hr16iE6Olp4S15DQUEBvvnmG+0BjOM4eHt7o2/fvvjggw/QvHlzuLq6ws7OTqsQUVFRep0pl8sxfvx4vWVOKpXi5s2bZtfPFKjVaqSlpeH58+cGFUapVGLPnj3o3LkzAgMD8fHHH/O2RygYY7h48SKvI7lMJsN3331XrpcI+fn5qF+/vl7dPD09cefOHd5Zt02bNtotlVAIfrJ9+/YYP348bt++bVEIBmMMDx48QJUqVcBxHDp37oz79+8jPz8fcrkc6enpePr0KWJjY5GYmGiQQQYAnjx5oucPWlYzrinQ3Jy9fPnS4tAdxhj+85//GLQLe3h44ObNm+V2hatWqzF37lzeuvHt2TVbqv/85z/4+OOPBb9HsOJmZWVZxa1PqVRi6dKlWqP8xIkTzQ6iU6lUWL9+vXbJJCLUqlULz549s6iOFRmMMWzfvt2oyXDr1q3lGmd369Yt3oN4aGioUb+JCn1zduXKFZ09UEBAAKKjo83u6KKiInz77bewt7eHs7MzVq5cWaEI5koDSUlJBhnWiQhr1qwpV6cZhUKB9u3b69WrcePGyMrKskrdrKK4r4e+GDtUjBkzRu/w9fnnn1u0L8vPz8fp06dx9erVMruqLE+o1Wps2rTJ4OH0xIkT5aq4jDH89NNPvHtwjYOQpbBYcTVhzZs3b8YXX3yBrVu3av0/X0dqairq1KnDa+pKSEgw+/2VKV7MWpDL5fj111/1MvcMHDjQKBN6WYAxhnXr1vGuBiNGjLDKimiR4jLG8PjxYz2CiubNm+PevXt6ipSdnY22bdvqNcbGxgaPHj0y+f0qlQqPHj3C0aNHce/evTLdImh8A3Jzc5GRkWH1zDxCoFKpcPXqVYwbNw5dunTBjBkzkJycXO4fsFwux/vvv8+ruH5+fnj06JHFdbRIcVUqFQYNGsRbwT59+ugduhhjWL58ud7NV5UqVRAXFyf4vYwxxMXF4bPPPtPS6NeqVQvXr18vk0F79uwZ5syZg/bt26NZs2Zo0qQJ2rdvjy1btljE1iKXy3HlyhWsXbsW+/fvF5x1SBM8Wd4Kq7EQfPfdd0aTDi5evLh8FbegoIDXZkdECAwM5E1+l5OTg/Hjx2tv0Ozt7TF//nyTBjw5ORnvvPMO76nVnOtooWDsFRGJIQbyZs2amU3ulp+fj6+++kqbn0EsFqN3794WJxCUy+WIiorCs2fPSnVFUigU2Lp1K5o1a1aiG2q9evXMvlLWwCLFlcvlvApE9Op2iG8QNdeVx44dw7Zt23DmzBmTllnGmMGwbDc3N8THx1vSpBLffejQIV4bqkgkwuzZs806ZDLGsGrVKj0Tl0QiwX/+8x+zZ6e4uDgMHz4cfn5+CAoKwqJFi3gT5jHGkJycjCdPnph1uGXsVaZMoW6oIpEIP/30k0UfkmDFjY2NRXp6up73/fHjx9GgQQOdwXR1dcWGDRtKxUGEMYawsDDeDrG1tTXqYGMpGGM4ceKEnoJxHIf27dsjKSmJtz0lHSCfPXtmMFRn9OjRZimTUqnUu07V5NUtznegVquxd+9ehISEwNfXF+Hh4SVmg3wd+fn5JlO/BgQE8J6DhEKw4vr7+6NFixYICwvDkydPdAYiMTERO3bswPz58/Hjjz/iwoULpbbnYoxh4cKFvIR3/v7+pXr5wNgrCtExY8bAyckJIpEI7u7u+PDDD/H06VOj0Qljx47FyJEjdXwuNLh48aJBAr/evXubtf1JT0/ndfCxtbXFzz//jPz8fBQVFWH37t3w9PTUmQ3Dw8O1zkWaQ6ixy6eoqCiz/Jx79eqFzMxMk9sGmOGroAnsK56KU9NAjbKW9iEhLi4OtWrV0lt+Zs6caVUqSz4w9ipo88yZM9i+fTuuXbumTazH9+zr7DDVq1fXs6CcO3fO4OB++eWXZm0/ioqKeEmYNcrbu3dvDBw4kDfnmVQqxaBBg7Bs2TJ8/vnnGD58OIYPH461a9fqXSCoVCrMnz/frOxHEokES5YsMat9JiuuZi9pihXA2mCM4ezZs2jTpg18fX1RrVo1fPLJJ1a7lRFah5I+0oKCAt4E0DNnztT53aVLl3gHXiwWm73HZYxhx44dOtfhpopIJNLZAkokEoSGhmqTJ2p8eg3xhwkRLy8vszL9mKW4gYGBRrkLygKaQ15CQgJSU1MNznrliYyMDN5Q+NcZEG/duqWlgXp962PuxQzw6sPh86CzREQiEYYNG4aYmBjcvHmT1y5vqnTr1s1k+7PJiqtZkitL/H15IiMjw6BvavFBevjwIS8HWFhYmMVbn8TERDRs2NBqiqtZCWrXrm1xREtxnerYsSN+/PFHwe0SHHPGcRw5OjrSgAEDKDw83KJ4KgCUn59PR44cocWLF9OhQ4coJyfHvNijCgyJRMKbWUck0u32vLw8ysnJ0fk3e3t76tOnj8Vxa35+ftS8eXOLyngdarWaYmJiKDU1lffvDRo0oPDwcGrZsqWgeDnGGJ05c4a++uor4ZUQquGLFi3CmTNnSozcFILs7GwMHz4c9vb24DhOS3ZhiYN1RYRSqcSUKVOMzriMMfz+++96z1SvXp03NakmWiIrK6tE+zdjrxLwdenSxaozrpOTExwdHXn/FhISgujoaCiVSsTExKBu3bomlS0UZc5ko3GE5vMnbd26dbnvna0Jxhi+++47vXY2a9YMqampYOxVlsY2bdroPdOgQQM9flmNE35oaChq1qyJESNG4J9//tHZtmnMVzk5OTh79iyGDh1qUbj/69KqVSv8/fff+PXXX/UOfq8nsGaMGczSU+kUV61WY+bMmQb3Ovv27SvrKulAM0sdPXoU169fR2FhoUH7bFFREQoKCoyaw5YsWaLXTolEgnnz5iEyMhJTp07lvQUcOHCgXrREfn4+unfvrnPY8vHxwbx58/Do0SOkp6fjzJkzmDNnDoKDg3kPfJZI3bp1tZcGmZmZej631apV06HoZ4xh2bJl/x2KyxjD5s2beel/bG1tcfr06bKukk7d7t69i9atW8PBwQFubm7o37+/NlxJYwJ68eIFli9fjpYtWyI4OBgTJ07EqVOn9MKM5HI5xo4dyztAMpkM/v7+BmfDn376Se9juHLlih7Jn+aD9/LyQkBAgNWVVSMeHh74+++/dWbTb775RucjGjt2rM5hkjGGP//8k7c8V1dX9O3bF6NGjUKPHj1Qo0YNuLi4CB6rciG9y83NxYIFC+Dv7w+JRAKpVIp69eph+fLlpeokUxLy8vLQt29fvU729fXFnDlzsHPnTvz8889o3Lix3izp7OyMoUOH4vLlyygqKoJCocCpU6fMulFydnbGuXPn9BR3/fr1JqdpEiocx6FmzZro0qUL/P39IRaLwXGclqX9zz//1LMk3bt3T2tZcHR0xLFjx3TqzBjjDVfv2LEjrl69ioKCAqhUKuTl5eHZs2cGEwzyodzYGlUqFeLj43H//n08ePAASUlJvE4XQh3Fi19PKpVKHR4tIbd5jDHs2rXLqMFeM5jGFMDd3R3NmzfHu+++q3OVyldWcHAwatSooXP5IBKJDPonnD171uChyFJp06YNHj16hNzcXMTHx+P06dNYsGABNmzYYDAbpVKpxK5duzBs2DCsX7+et85KpRIzZsyAg4MDbG1tMXz4cIM+HaagQlPpA6C7d+/SgQMHyMfHh/r160c+Pj56JhYAFBUVRdu3b6dTp05RUVERSaVSqlatGnXo0IH8/f3J1taWxGIxSSQSCggIoJo1a+pQNT18+JAGDx5slJbeWhCLxTRp0iT6/PPPSa1W08WLF+nAgQOkUCioVatWNHHiRHJ1ddVrZ15eHvXo0YMuXbpk1fqIRCJavnw5TZo0yWS6J/xfCgFDFPoAqKioiKKioggA1a1bl+zt7S2nlbJI7UsZsbGxWuO5SCRChw4d9MKCGGOIiIhAYGCg0WVQKpVCJpPBzs4OAQEBaNmyJWbOnIm//voLK1asQFBQUKnMZHx1mTBhgg4HrcbPo6QoasZeMegY8iQzJBKJxOhKIRaLcejQoVIdS2ujwiouY0wvPp/jOEyaNEnnAPD06VM0aNCgTJTOGjJ06FCzPaI0/XLr1i20aNGixHe5ubnhp59+wtWrV7Fnzx6DNlWxWIw9e/ZYYdTKDuWiuAqFAvHx8VpbJh/UajVvpIGTkxOOHDkCxl5RB3311VdmeSaVh/To0QNJSUkW9x9jDDExMWjdurXBdzk7O2Pnzp3avSljr9II8FkdJBIJTp48aXG9yhJlrriJiYn48MMPUatWLTRu3Bhz587lpW6Xy+W8hnkiQqdOnZCVlYW4uDhUrVq13BVSiISEhBjk7TUHjDFcvXpVx2VSIzY2Nli2bJnegaqoqAhjx47V2zY4OTmZRRRYnihTxZXL5XppmsRiMb799ls9ZxKFQmHQ86h69era/L3GTu4VRapXr25yIKdmRcnNzUV2drZOgkCNyOVyhIeH65jIZDIZwsLCdPyli5d5//59HV9mkUiEsLCwcjVDavb4poTy8DMg8+Dff/8lmUxGVatWJUdHR7NOhenp6fTHH3/oONOo1Wpat24dffjhh1SzZk3tv2ssAHwICQkhLy8vcnd3p3feeYcOHDhgcl1KA5o6KxQKAkAcx1Ht2rVp/fr11KxZM0F9BoASExNpy5YtdP36dcrNzSW1Wk22trZkZ2dHTk5O1KRJEwoJCSFfX18aMGAA5efn08OHD8nV1ZWGDx9Offr0IXt7e72yOY6j+vXr086dO+mbb76h1NRU6tSpE82ePZtkMllpdIlRyOVyOn36NO3YsYNyc3MJAB08eFDYj4VquIbouH379pg7dy4ePHhgcizUrVu3eMOWRSIRNm7cqGct4EuD5ODggMOHD2tnnT///NMiZ2lria2tLaZPn47Dhw/j999/x8qVK7FlyxaTHYfi4uLQunXrEu3FUqkUderUwdq1a5GdnQ25XC6Y2624vbu8wtoZY/j555/1xk4ozHIk5zgObm5uGDZsGM6fPy+YU3Xnzp0GiZ179uypExWsVCrx7rvv6j331ltv6TyXkpLC6/Na1lKlShXcv39f78LEFKVQqVSYPn26SY7f/fr1M0gAXZGRmZnJGyEuFIL9cYsDAGVmZtKOHTuoa9euNHDgQFqzZg3FxsZSUVERr18tAIqOjiaVSsVb5smTJ2n9+vVUWFhIKpWKzp8/Tw8ePNB7rkOHDjrLmr29Pb311lvmNMMkBAcH05QpU6hly5YklUr1/p6VlUWPHz8mItLJ52vKlio1NZWOHTtmkl9yfn4+McYEP19RUFhYSOnp6eYXIFTDqYQvXywWw83NDYMHD8a+ffuQk5OjM9sUFhZi2LBhJS63AwYMwJgxY3hPy0SEOXPm6GziNbNUSfV7XTR380KyTPr4+OD69etQqVTIzMzEtGnTeD26hgwZYnT7xNirbDSRkZE4c+YM7t69i+zsbO3MfPbsWZNTtY4ePbpSRqMUFRWhf//+Zs+4VlPc4iKTydClSxfs2bMHSUlJSEpKwq+//mqUlkeodOjQQUc5GHvFDMhnyxWJRAa9r6RSKaZOnYr58+eXeP8/ZMgQHatHamoq7wWAu7s7IiIiDLo4JiQk4IMPPoCTkxNkMhmcnJzQr18/nD9/HnFxcXpMliVJ7dq1y5XE2RIwxvDrr7/qTQBCUSqKW1yBPTw84OXlZbX8YF5eXjqU7Iy9SvxXp04dcBwHiUQCT09PDB48GCtWrMC6devQrl07XqWeMmUKnjx5grCwMIMflUQiwc6dO/UOjps2beJ9fvz48bys44WFhQgNDdXbv3IcBw8PDwQFBfG6ehqSFi1a4MaNG5WaCzglJUXP5CkUpaq4pSWfffaZjnKo1Wpcv34dixYtwurVqxEbG6t1AGfsFdsOn1JMnjwZRUVFyM7Oxvbt29GhQwct0YdmVu7duzcyMjL0+sNQkg4fHx+9rDWMvWLAsZZnl4ODAy5evCjYgiCXy5GdnY20tDS8ePECKSkpFicpsQYYY3j06BE6dOgAW1tbcBwn+LeVUnE9PT31YvENneI1N0yvKw3Hcfjll190Zu6cnBzcvn0bS5YswYwZM7Bx40Yth8DrkMvlvLFcGqLq4h+WUqnE559/brX2u7m5lXgLp4lS2Lp1K8aMGYPg4GD4+PjA09MTXl5eaNOmDXbv3l0u9Kh89Txw4ADmzJkj+HeVUnGJCMOGDdOLyTLUMXv27NHbA9vZ2WntwXy/EeL/++mnnxr8sE6fPq21kT5+/NiqV9NisRi//vqr0W1CamoqBgwYYHT74ejoiFmzZlWI2Rcopezp5a2or4uLiwvOnz9fonJlZmbyErJVq1YNiYmJgjuKDytXrjRYv6pVq+Knn37Cxo0b0aFDB6tnba9atapB0jjGGL7//ntBWedlMhmmTZvG6y9SkVFpFZfoFSFccdql4jOlSqVCYmIiwsLCeMNd6tWrZ5HhXhNzZax+HMcJUh5zZciQIbxUrqmpqXj77bcFlyOTyfDtt9+Wq7+CqRDsqzBy5Eh6/Pgx/fPPP2YnorY2/v77b/rkk09o5MiR5ObmRqmpqZSdnU15eXl048YNOnv2LMXHxxs00KMEQ7/m75r/LX6ZkJubSxcvXizx96XZV4cOHaKLFy9S165ddeoWFxdH9+7dE1yOXC6npUuXkoeHB02cONGgj0iFglANZ+wVTfqUKVNKLWDPXNHkv5XJZIKXZA8PD978ssXbK5fLcfz4ccyePRuTJ0/Gpk2bEBERgbt372L27Nkmma9KS3r37q23zJ88edKsspycnPDbb79VChObyW6Npi5DFVlGjBiBgoICXktEfn4+pk2bpsOyzXEcXF1dUaVKlQrz8dra2uLkyZM6bTh8+LDZ5bm6uuLPP/+sEIc1YzBZcTU3VdY+bJSHyGQyLFy4UI8PQaVSYcWKFRViRhUirzvaXLhwwaLx8fX1xe3btyu08prlSH79+nW9WPnKKjKZDN988w0yMjK0B7vbt2+jWrVq5V43oWJvb49z585px+fu3bu8hM2myOjRoyv0lsEsxc3JyeFNtOfu7o558+bh0KFD+Pzzz/UcWGQyGZo1a4bBgwfjrbfe0psVNOnr+Sg3S1MkEgk6duyInTt3Yvfu3YICEctSxGIx6tevj6ZNmxr0Pe7fv792r/vy5UuLqUXr1q1rETdvacOsrUJ2djZvxyxevFhrdFer1fjnn38wfvx4vPPOOxg+fDgOHz6MrKwsqNVq/PvvvzoeYG5ublixYgUeP36MO3fuGMyfVpqiYW4pb0UtLpoVITk5GTk5Odi+fTvvamBjY4OlS5ciMzMTERERFvsoS6VSwdfKQvXGVP9kYxCsuKNGjcKMGTOwbds2rF69Wo8+neM4bNq0Se8atjhfQHHJyspCcHCw9vcaEmPN3x88eCDI5fC/QWQyGYKCgtCgQQMdbjCpVIpp06Zpr2U1/blnzx5eDjGZTIY2bdoY5ZgwRfbt22dynFxxUavVSE9Px9GjRzF27FhMmzbNKiw2gAl23N9++42IXtkyNY7cHMfp2DoXLVpEjo6O1KZNG/Lx8SGxWKxHYqxBWlqajiOxSCTSYUNxd3cnNzc3evnypdAqVkr4+PjQggUL6P333ycbGxu6c+cO/f333xQREUGdO3emSZMmkY2NjbZfOI6jvn370pQpU2jx4sU6jvlyuZwiIiKsVrfDhw9T3759S3SGx/8FFly+fJmOHz9O+fn5JJPJSC6Xa23/CoWCOI6j3NxcWrVqVdkx2dBrX6MhHi2xWIzAwEBMmDDB6JXkqlWrdG6VqlatioiICG0s1LZt26zmClma4ujoiC5dumDIkCEIDAw0yUxmb2+P7du3865SxuLBGGNIT083GL5vLQkICNA6MxmaJZVKJSIiItCxY0dBPLzNmjXjdfs0FaV65RsSEoL4+Hi9Rufn5/OmMvLz88PIkSMxbNgws1gOiUr/mrW42NnZYfny5VqO3JcvX2LlypVo3LgxnJ2dSzRJjRkzxqzke8Ar5b148aJe9nRrS926dfH5559j48aNOHXqFO7evYsnT54gJiYGt2/fxpdffmnSWIWEhFhFcQWT3pkztXMcR6NHj6aVK1eSnZ2ddmtx8uRJGjRoEOXm5ppcpjG4u7vTqFGjKDg4mK5fv0779u2jjIwMq75DA5FIREOHDqX169frtA0AFRQU0M2bN+nJkyfaUHW1Wk1JSUl08uRJSkpKonr16tHmzZupRo0aZi+barWaJk+eTKtXr+b9O8dxZGtrS0SvthHmxqZxHKezldP8L2NM2z6haNasGUVEROjF7eH/yPOE5rwoVcUlIrK1taVJkybRlClTSCaT0cOHD2nq1Kn077//mlWeIbi7u9P69eupT58+Wm6DS5cu0bZt2+jWrVtUWFhIRUVFlJOTo5cohA9SqZR8fX2pW7duVKdOHVIoFHT9+nW6e/cuAaAuXbrQt99+SwEBAQZZCl8HY4wKCgro+fPn5Orqyss8aQoA0P3796lbt2704sULnb/Z2dnR6NGjqXPnzsRxHL148YISExNp//79RoNWSxt169al8+fPU5UqVbRtB0CPHz+mbdu20aJFi4QVJHRqJguWG7FYDG9vb9SqVUtwomJTxMHBAWvXrtVjw9b4G+Tk5CA7OxsZGRm4dOkSJk2aBG9vb96lXCqVonHjxli5ciVevnwJhUKh3XdqkoZkZmbq3bYJhalmoZKeV6vVevxpYrEY4eHhOlEgGo+5lJQUzJ071+AFhSaUqF69evD09LT6DSlfYm2lUonZs2fDxsZGcD9WCrdGmUyGzp07Y968eViwYAHGjh0Lf39/uLq6IiAgAL/88otglzzGXlEbPXr0CDNnzkRQUBBcXV3h5uaGd955B2vXrkVaWlqFuDVSq9V4/Pgxli1bhq1btyItLY3XryI1NRUffPAB7O3tYWdnh0GDBhlNeCeXy7Fy5Uq9qBCpVIqRI0fiwYMHyMrKwp07dzBw4ECrJj8hItSpU0eHKEWtVuPChQsYNmyY4L6p0IprY2OD4OBgbN68WRvurplFU1JSEBcXh5cvX5qVxE4zA6WnpyMxMRFJSUnaUPHSBmOvsmJqZnNDz9y5cweBgYEQiUSwsbFB69atcenSJV7lzcnJwbFjx3DkyBFBqWELCwuxdOlSeHh4QCqVwsPDA0uWLNFJB6Ypd9myZahWrZrVLmc4jsO8efN0mCTVarVJ/tEVTnFlMhk6duyI8PBw7Nq1CykpKRXa2cNUMPYq2/yYMWMwa9YspKamGnwuPDxcr3+CgoLw+PFjq/SJQqHA3bt3sX37djx69MjgaV+lUiEmJgZz585F48aNrUJ51aFDB4uyZlYoxXV2dsaGDRvKbOYrDzD2KveZSCSCWCzWMiW+3l6VSoWPPvqIt5807phlDbVajdTUVFy8eBETJkywyBQ3fPhwi4hMKpTi9uvXz2y7ZmWBSqXS4cySyWTYsGED7/I/a9Ys3sORk5MT7t+/r/e8tf0BDEFzTvjrr794r55LEqlUij/++MOieprFHVZacHZ25uXl+m+DQqHQ/rdcLqc1a9ZQVlaWjgmN4zgaO3YsNWjQQO/3hYWFdP/+fa3dGAClpqbSnj176Pfff6d79+6RWq0utdzIHMeRVCql3r17U79+/Uz+fe/eval79+6WXfsK1XB3d/dSv5F69913kZ2dXeLXbsnMUtwBpHg6KWPvEPouxhiKioqQmJjIG1kB/H/zVfF229jY4MyZM7z1uHfvns51KsdxCAwM1GGGjI6ORtu2bbVJSry9vTF16lQkJiaW6uzLGMOiRYuMmsw4jtOKvb09RowYYRVHG8FONhERERQbG0sLFiygq1evlsrXfOXKFTp27BgNHjzYoFE/ISGBTp8+TUVFRdSyZUtq0qSJ3m0L/u+m6vHjx5SRkUE1atQgHx8fUqvVdO/ePbpy5Qrt37+flEoldenShbp27UohISHa2T41NZWuXbtGN2/epPT0dGrbti11796dXFxcDM4SAOjOnTv05ZdfUmxsLPn6+tKyZcv0MohzHEehoaG0efNmSklJISIipVJJhYWFemVyHEcNGjSgPXv20P379+nGjRvk7u5Obdu2pZo1a2pv6/bv30+XL1/WjklKSgr9/PPPdP78eVq0aBF169bNZOZIIeA4jvz9/UkqleqsIkREtWvXps6dO1Pbtm3J2dmZ7OzsyNvbm+rWrau9abQIpn5hz58/R7du3Upt1n377beRnJzM+/4XL17gnXfe0X7hPj4+2Lp1q47NVXNqDw0NRZUqVeDo6IhatWrh7bffRpMmTXgPFC4uLmjRogV69+6NTp06oV69ejrOMiKRCAMGDEBaWprBvikoKMCQIUN0yn3rrbd4f8MYw5YtW7SXAI6OjrxmLqFjsmrVKoP96ezsjFmzZuHp06dmryTG8PDhQ51oGLFYjDFjxiA6OrpUZ3uzHMkTEhJKLUUTx3HYvXs377vXrFmjZ0usWbOmTuJjhUKBwYMHl0rdZsyYYXAw4uLi9JxNnJycEBkZyfu8UqnEvn370K1bN3zxxRdmE3Iw9irtqDFHF47jUKdOHXz88cfYu3cvjh8/rpVz585ZtKWQy+VYuHAhAgMD0bx5c/zyyy+8XA/WhlmhO4wxLF++vNRm3eHDh/Pu90aNGqX3rFQq1dLwM8Zw7dq1UouHCw4O1vlIiiMuLk6b11YjPj4+ePbsmdF+LCoqMvv6WAOVSoXhw4eb1SaJRILAwEBMnz7d7L2nhnwlMzOzzMyYZlsVqlatWmoWgMzMTL1/A0ByuVzv35VKJT19+lT7/+/fv8/7e2sgKiqKEhISeP/m7e1N7dq10/5/GxsbmjhxInl7exssT+OUX9xR3ByIRCL65JNPyMXFxeTfqlQqioqKoh9++IGmTZtGeXl5JpchFospICCAN42rIaCYRYQxRkqlknd8DcFsyhJL3ORKglKp1HNxKyws5HVRLB6RQURGzUASiYRcXFwoJyeHlEqlwWcYY7xtY4wZ9Kqys7Oj6dOnU0FBASkUCho9ejQNGTKkTFhhOI6jZs2aUXBwMF29etXscvLy8krVa0wul9ODBw/o+PHjdOvWLVIoFNq+VqlUpFar6dSpU4LKMqtXVSoVnT59utTohZKSkig1NZWqVKmi/be4uDi6ceOG3rM2NjYUFBSkPWGLxWKdkCINPDw8aP78+dSiRQt6/vw57dixgy5fvkxpaWnk7OxMQUFBNGLECPL39yeFQkGnT5+mgwcP0vPnz7Vl1axZ0+AMynEctWjRgg4dOqT1WdX8e1lAIpGYvQJ6e3vTuHHj6OOPPyZXV1frVoxeza6xsbG0ePFi+uOPP8ya1fkKFQzGGAoLC/Hbb7/xpta0lohEIqxatUobPJmXl4eJEyfyPuvi4oLo6Ght/TZv3sxrV/zxxx91TtJKpRKPHz/GoUOHcOvWLe0+s7id98mTJ9iyZQtmzJiB7777DleuXNHafuVyOeLj4/Ho0SNER0fzXttaAk0dhJz8Nbbc1wNYhUhAQIAOJaq1wRjDpUuXdAJjjYlQCH5y/fr1mDVrFgYMGFAqPrWvi5ubG8aPH48lS5agX79+Bi8/PDw8kJKSou2kDRs28Cr3rVu3TB4YQ5cVmZmZCA8Ph6+vL2QyGTw9PTFjxgxBfL1CoFKpcPr0aYwdOxZhYWE4d+6cUYeUgoICjB071uQ+5jgOM2bMMNmFkzGG3NxcXLt2DefPnzfoCMUYw5UrV1CzZk3BdRIKwU8aCo4sbSnJla5Zs2ba2zZD1o6QkBBkZWUJ7hRjYIxh//79eh+Sm5ub1XgIHj58iICAAG3Zzs7O2LRpE69TCmMMa9asMSuwVCwW67CyC0VGRgZGjx4NW1tbSKVStGjRAmfOnNGpn8ZMJ3SmLTXFff0Ftra2aNiwIWrXrl1uBHAikQjfffeddsZQKBS8RCKWutAVB2MMc+bM4a3P+vXrLVZcxhhmzpypN0n4+/vzmtZycnLQqFEjs/twzJgxJgUvyuVyzJ07V2/Mvby8sHz5ciQkJCApKQl79uzRyRlcIRRXJBJhzpw5yMrKQnJystk2REuldevWOp7+hYWFqF+/vt5zvXr1str+jTGGuXPn8tZn9erVRh3DlUolCgoKjC7NSqWS9+Ozt7fHyZMn9Z5PTk7WIwARiUTw8fHByJEjMWvWLLRo0cLg5OLi4oJTp04J6h+FQoG1a9cazMUmkUjg7u4OT09PswkDhcIsxbW3t9feCDHGcOjQIUHe8Q4ODujUqRO+/vprzJ8/H99++y3GjRuHatWqmTxr+/n56eUUKyoqQtOmTfUGccOGDYI7pCQwxrB3717eOr0eS1X8N4mJiZg+fTr69++P3377zeAK8Pz5cwQFBemV7ezsjHv37uk9r1KpMGfOHHh4eMDZ2Rm1atXCnDlzEBMTA7lcrvWhHTlypMGtXsOGDXHt2jW9rYjmY8vJyUFUVJQe7WppiFCYpbgODg7arC+MMRw+fNio4nIch5CQEBw/flybKEMjCoUCycnJ+OGHH/RungyJVCrF6tWr9WYutVqNBQsWaOsiEonQtWtXoz4GpkJz4Hh91uGjoNI8n5WVhb59+2oVx9HREWfOnOEt/+rVq7wxXu+88w6v55zGwpGQkICoqCikp6frJaNmjOHhw4dGEyRWqVIFM2bMwLFjx3D9+nVs27YNixcvxtSpUxESEgI3N7cy4VUTCrMUVywWY9WqVVAoFCgoKMAnn3xitDJ169bVy/31OlQqFfbv3y+IXMLPzw8vXrzgHcTU1FRMnjwZ7dq1w6xZs/Tu4dVqNfLy8pCdnW005ssYMjMzERISIkhxVSoVvv/+e70VJTQ0VG+GUyqVvNklZTIZfvvtN4u2O7GxsSXmWeM4Dg4ODnBxcbGYRUgikcDe3h4ODg6wt7cXHHApFGYfzlxcXDBhwgSEhoYa3c+8nk/MGFQqFZYuXVpipwUEBBicRTUzUHZ2Nu/Sd/z4cTRu3BjVqlXDlClT8PLlS5MVQq1Wo1OnTnr1mjx5ss7HwNirHGt8eYl9fX11Pma1Wo2dO3fyLsXNmzdHZmamSXUsDpVKhdWrV5fZIbphw4ZYu3YtoqOjkZCQgOjoaPz1118YP358iUSGQlHqoTvu7u64ceOGoHcw9orCfsKECUaXJVtbW700pUKQn5+vk1RPJBKZFb+lVCrRoUMHvXq5ublh5cqVyM7ORkFBAU6fPs17WNRI3759ERsbi4yMDKxbt46XF1gsFmP58uVmuzxmZ2dj5cqVcHV1LTOljYyM5K2vUqnE9evXjbJJCkWpK27VqlWNeki9Dk1njxkzxqjyNmjQAA8fPjRpQBMTE/U6zc7OziQ6TcYY7t69a5B8WiaToXbt2ggMDCxRWTiOg7+/P2rVqmVw1fLy8kJ8fLzgNmrqKJfLceDAAbRt27bMyAMlEgnvdun1uu3atcvgQVEoSl1xPT09cfv2bcEV0jQuOzsbH3zwgdFBr1+/PrZv347o6Gikp6cjIyPD6L61sLCQN1mf0BlNc+U9cuTIMlEEolf+xjk5Obx14bsOZozhxYsXGDVqVJnccBYXJycnxMXFldiPd+/eNfihCkWpK65UKsXu3bvNWuoiIiJK9IkQi8UICAhAYGAgAgMD0bdvX8TFxRk0S+3evVvndC2RSLBlyxZB/gCaaANr8AoIFT8/P62frEZyc3Nx5swZ7N27FwcOHMDNmzeRm5uLnJwcHDp0CK1atSpThdXIu+++K+iG8u7duwZXAaEok/D077//3qT7cM0AHT161ORZg+M4fPPNNwYVsaioCBs2bEDTpk1RpUoVjBo1Cunp6YLqdPTo0TLbKxb/MEePHq2NWFi4cCHefvtt7cen4fpq1KgRGjVqZLUM7aaKSCTCwoULBU1QV69eNbgNFIoyUdyWLVsK4vbSbBHOnz+PefPmoUaNGia/i+M4LF68uMR9VmpqKiIjIwVnD09PTy+3mYzo1cpVUXKrvS5isRi9evXiNVHyYenSpQbLEooyUVx3d3dcv369RGU6ffo02rdvb1F+sebNm1s9W4zmtswUxRGLxejbty/WrVuHjh07lgnZtEgkgpOTExwcHHRmNJFIBAcHBzg6OlrdUUoqlSIsLAwvXrwQbPLs37+/xYpbJklbMzIy6I8//qCmTZvyRgQAoLi4OJo4cSJFRUWZ9Q5PT08aPHgwTZs2jQICAiytsl79zp49a1J0QK1atWj16tXk5+dHffr0oWHDhtHZs2f1nqtduzbVqFGDEhMTzW67WCymli1bUlhYGAUFBRFjjPLy8rR5F6RSKTk4OBDHcfTo0SNauHAhxcbGmvWu12Fvb0+DBw8WzPWbkJBAt2/ftvzFQjWcLPwyvb29cefOHYOHpnXr1pm9TPXv3x9Xr17Vu+q0FuRyucnbhAkTJmi9rhhjuH//vp63VK9evRAbGwu1Wo3IyEheHwVjIpFI0LRpU2zcuFEbqChErEnBLxKJ8P777yM2NrbEvler1fjhhx+MlicUZcod1q5dOyQkJPBei5rjYcZxHD788MMSSfKKO4QXFhYiJSUFMTExiIqKQkJCgpZak8+0pFKpcODAAe1VtLe3Nz777DPs3LkTs2fPNnhY++CDD3QcyzVpnmrXrg0XFxcMHToUqampOrdsfFHMfIpSo0YNDB48GHv37hVEKfo65HI5xo8fb5Ux1YzDW2+9hXXr1uH58+d6B3HGXkWx7Nq1q0R/FKEodSr919G6dWtavnw5hYSEkEQi0aYaat26tclLpbe3N50/f14bc6YBACoqKqLY2Fg6f/48/fPPP1RQUEAqlYry8/PpxYsXlJycTEqlklxcXLSxZCEhIdS+fXuys7MjoleMNjt27KC9e/dSWloaeXt709atW6lr167aHAjfffcdffPNN3p18/X1pStXrlD16tW1dQJAT548odTUVAoJCSFbW1udes+bN4/mzp3L21ZbW1tq3LgxjR8/nrp06aKl8DdnXADQxYsXqU+fPoLSCgiFSCSioKAgCgkJocaNG1PNmjUpLy+Pbt++TQ8ePKALFy6UGMkrUB2FqzhZ6eskenU1OmnSJPzzzz948OABwsLCzDoxDxgwQM9aoVQqcenSJQwaNAiOjo4meTRpMvZIpVJIpVK9A1WbNm30LgNOnDjBe+ARiUQIDw/Xu042FEPGGMPUqVP1ynFxcUHnzp3x119/6ZAuWwrNRUppRbVosnSa6lEmFOVGM8pxHGxsbGBra2tW5zk6OurkCNPEgs2fP7/UCEECAgJ0mGkUCgWmTJli8HmZTIbPPvsMDx8+RFJSEpKSkvDs2TNkZmbqBCeq1Wo8fPgQTZo00Sp9QEAApkyZggsXLgg22ZkCxhiePHmCFi1alEtIlqWKW+ZbBXNgZ2dHgYGB5OjoSAqFgnx9fWnAgAEUGhqqTYeUkZFBn3zyCe3du7dUuQHGjRtHM2fOJFtbW9q/fz/Nnj2bsrKyDD7PcRw5ODiQh4eHloyvVq1a1KRJE6pVqxZxHEfR0dF07NgxiomJIY7jaODAgbRo0SKqWbOmNty+NACAoqKiaOLEiXTu3LlSoyU1tU5CHxQEKsevcPjw4UhNTUVBQQHy8/NRVFSkM2OpVCosWLCgzGylnp6e8PX1tTiph1gs1quzp6cnbty4USrWET5oZl5Ls61bS4SiTOy4lqJp06bk4eFhcOYpLCyk/fv3lxpBSXEwxigtLc0qZfHVVyaTkZubm9VnWfzf4VCpVJJUKtUe7DiOo9q1a9OMGTPoo48+0qMLtQQymYxatmxJ7733HtnY2FBRURGdPXuW/v33X8rPz7escKEaTuX4FU6ePNnoDJSdnW3W9XBFFBsbG+zZs8eqMy5jDMnJyZg/fz5GjBiBhQsX4vnz5zrvePHihUn8ByVJ9erVsXHjRp1sSWq1Gjk5OTh16hT69OnDG0okFJVCcdu1a2fUSScnJwe1a9cud6WzlvTu3VvHNq0ZdE3wo6lKrVQqMXnyZO0Jn+M4tG7dWnshxBjD06dPUa1aNYvrLhKJ0KxZM9y4ccNgchKNXffEiRP49NNP0bBhQ7i6usLJyUlwmyqF4taqVQvPnj0zOGA5OTkmE09UZBGLxRg8eDAOHjyIu3fvYseOHZg7dy4GDRqERYsW8SbqM4b09HQ0b95c7z2NGjXCwYMHkZiYiPDwcIvOCFKpFPXr18fChQsF05VqoojT0tLw7NkzJCYmCm5TpVBckUiEH3/8kXfWZYwhPj4efn5+5a5w1hZ7e3t4eHjo+K6KRCJtbJtQFBYWYsCAAbzvcHR0hJ+fn9kHTbFYjI4dO2L//v1ITk4us4yclUJxiV45VP/111865HRKpRKPHj3CBx98oDNb2NraokuXLpg4cSLCwsLQp08f+Pj4QCKRQCwWaw3jFcl+aYp4e3vj6dOnggeZsVecatZ2ixSLxZg4caLJK4A1INiO6+npaZRXtizg5ORELVu2pJ49exJjjE6fPk137tyhFy9eaO1/NjY2tGTJEho3bhw5OjoSEVFRURG9ePGCsrKyKCsri/Ly8igjI4Pi4uIoISGB0tLS6MqVK5Senl5ubTMFNjY2dOHCBWrZsqXg32RmZlL//v3pwoULVquHv78/Xbt2jfz9/a1WpmAI1fCoqCjcvHkT4eHhpUoxaqnUrl3bpL0SY6/o7O/evYuhQ4eWiS3YUjEl2qB4Ow8ePGiRr/Pr8tZbb/HGw5lSp9dFKEzOAaFUKrF161aDaePLW2rUqGFSVHFxpKam4r333iv3NgiRUaNGmZxS9OXLl/D397daHVxcXHDixAmzLB2MMdy6dQuzZs1Cr1698P777+Ojjz4S/HuzkpeoVCqsWLHCql+vtUQmk+Hy5ctm8xD89ddfZgdD2tjYoGXLlujatSuaNGlSqrN37dq1Tf5AMzIy0LhxY6vWw8fHB+PHj8fff/+t46ZZUj9funSJ90AtFGYpLgDk5eXh/fffL3dF5ZNBgwaZnX4pPT3doIWiUaNG2Lx5M6ZMmaK3XbK3t8fPP/+MnJwcLdHcggULSu3jFovF2LNnj0lti4+PF0RxZW59mjZtisOHD5dI6apQKBAaGspbjlCYrbiMvUrW16VLlzIhQzNFJBIJvv/+e7M4cQsLC3ljokQiEQ4dOqS1ZrzOkdu3b189RvKioiKzmMKFSs+ePQXnFCssLMQXX3xR6mPl4eGBw4cPG515IyMjDTqUC4XZigv8/2jZVatWoV27dggMDCwz1pSSxM3NDUePHjVr77Vo0SK98pydnXUyll++fFlnK7BmzRreCIrjx4+XGjGHra2tQdbH4nVITk7GtGnTymxs6tWrh6ioKN6+Lygo4PU7LlPF1XSMJsQlOTkZhw4dQufOnSuEjbR69ep48OCB0Xrz/fuyZcv0ynJyctLhpz1y5IhOGw2xkWdmZqJq1aql1sbu3bsbPNnn5eVh3759aNasWZmOB8dx6NevH/bu3YvTp0/j7NmzuHTpEvbt24chQ4YYPUMIheAnIyMjtVRHxm5HNF94eXIQFJcPP/wQcrlcp465ublYs2YNpk6ditOnT+v4BajVaixcuJB3MH7//Xeo1WpkZmaiZ8+eOn+fM2cOb78oFAqEhYXplefs7IygoCAEBwcb5CETIiKRCFOnTkVGRob2Y8zLy8PZs2fRu3dvi10vTVVYT09PbVyd5rKneAb1ksoQCsFPOjo6wsPDA61atcLkyZPx5MkTg8swYwxr166tELOuk5MTbt68qVO34r67NjY26NatG44cOYL4+HjcuHHD4Mnb398fn376Kbp166a3V+zUqRPvNSxjDJGRkWjfvj2qVKmCWrVq4ZNPPsG5c+eQm5uLwsJC3L17F/Pnzzf72lokEqFdu3YICwtDWFgYunfvbhFNlKurK+rWrYvq1asLvm2rVq0ali5dihs3biAhIQFTpkwxa/ytrrivf1mNGjUySnAWERFRJoprY2MDX19fo5ciy5cv19ZLqVSiV69ees9IpVL4+PjAxcXFrHo0atRIb2Yvrrx5eXmIjIw0yBiuVqtx8+ZNNGvWrNT7zJi88847OH/+PAoKCvDy5Ut89dVXJZr1NJ5mxVNqPXjwgJcXuFwVV6O806dPNzjrloXiBgUFYcuWLXj69ClOnjyJdu3a8T43aNAgbb1UKhV69+5t9bo0bdrUoOIKBWMMZ8+eLbebSW9vb9y+fVtnTNPS0vTY14uLs7Mzb5ospVJp1nZRKMxOQg2Arl27Rrm5ubx/t9jDvQR4e3vTtm3baNSoUVStWjXq1KkTrVixgjw9PfWeLSgo0P63SCTSyf1rLQhlcjEGjuOodevW9N5771mpVqahXbt21KBBA512uLu7U9WqVQ3+pmnTptSkSRO9totEImrfvn2p1dVsxSUievLkiUHHFKvkazWCVq1aUaNGjbQdxnEcBQcH8+aixWt+RDY2Nlavj6+vrzZ/ryWwsbEhd3d3K9TIdHh4eOgk/ibST/L9Ot5++20tD8XrvwsKCrJ6HbXl4/VRfYM3qASwfIp4gzcoB7xR3DeolHijuG9QKfFGcd+gUuKN4r5BpcQbxX2DSok3ivsGlRJvFPcNKiXeKO4bVEr8P06SSLDHYgLBAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 34\n",
      "\tJ = -9.2032e-01\n",
      "\tbeta = 34.00\n",
      "\tgrad_norm = 1.3297e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 35\n",
      "\tJ = -9.8357e-01\n",
      "\tbeta = 35.00\n",
      "\tgrad_norm = 2.4761e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 36\n",
      "\tJ = -8.8175e-01\n",
      "\tbeta = 36.00\n",
      "\tgrad_norm = 1.4976e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 37\n",
      "\tJ = -9.1635e-01\n",
      "\tbeta = 37.00\n",
      "\tgrad_norm = 1.9233e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 38\n",
      "\tJ = -9.0993e-01\n",
      "\tbeta = 38.00\n",
      "\tgrad_norm = 2.3617e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 39\n",
      "\tJ = -8.7915e-01\n",
      "\tbeta = 39.00\n",
      "\tgrad_norm = 2.4549e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 40\n",
      "\tJ = -9.0356e-01\n",
      "\tbeta = 40.00\n",
      "\tgrad_norm = 3.5707e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 41\n",
      "\tJ = -8.0682e-01\n",
      "\tbeta = 41.00\n",
      "\tgrad_norm = 1.5621e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 42\n",
      "\tJ = -8.0862e-01\n",
      "\tbeta = 42.00\n",
      "\tgrad_norm = 1.8145e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 43\n",
      "\tJ = -7.8076e-01\n",
      "\tbeta = 43.00\n",
      "\tgrad_norm = 1.2660e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 44\n",
      "\tJ = -7.7434e-01\n",
      "\tbeta = 44.00\n",
      "\tgrad_norm = 1.6875e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 45\n",
      "\tJ = -7.6127e-01\n",
      "\tbeta = 45.00\n",
      "\tgrad_norm = 1.2395e-01\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 46\n",
      "\tJ = -7.4360e-01\n",
      "\tbeta = 46.00\n",
      "\tgrad_norm = 7.3564e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAARoxJREFUeJztfXdYVNf29jrTqNJEioJiwYYFNaJib9h7i9euMRqjMbnWaDQaE2K5idcSW7zGWKLGEkVjV+wFNVZQoiACgkhHYPp+vz+8M5/jnIEzw9Duj/d51vMos88+++yzzi5rr/UuDgCoAhUoZxCVdgMqUAFLUKG4FSiXqFDcCpRLVChuBcolKhS3AuUSFYpbgXKJCsWtQLlEheJWoFyiQnErUC4hWHE5jjOSrl27Um5ubnG2r0ziwoULvP0hRLp161Zgn8XHx5Ofn5/F9Zd3EYoijbgeHh5kb29flCrKHYp6Ql6lShWTfQaAEhIS6OXLl0W6x/8FWKy4MpmMBgwYQCLR/73Vhkajseg6qVRKPXr0MNlnqamptHDhQovr/78EidCCUqmUiN4uGTw9Pemf//wnDRkypNgaVl7BcRzJZDLiOI4YY6TRaIgxRjKZjGbMmEEjRozgvU6j0dAPP/xAly5dKuEWlxzEYjEREWm12iLXJVhxr1+/TmKxmOzs7MjR0ZG8vLz0Dfm/BI7jyNHRkWxtbUmhUBj8VqlSJZoyZQpNnDiRZDIZKZVKOnnyJMXExFCfPn2oc+fOZGdnZ1QnANq/fz+tX7++SEsRjuNILBaTi4sLtWzZkhQKBV2/ft2onSUNNzc36tWrF3Xt2pUkEgmdPXuWTpw4QampqZZXigqYDYVCgU8++QQikQhEBI7jEBAQgIMHD0Kj0ZhVF2MMjx49Qp06dUBEFolIJEK3bt0QGhqKBw8eIDY2Fnl5ecjOzsbZs2dRo0YNi+suqlStWhXh4eFQq9X6Z1ar1bh+/Tpq1aplVF4oKhTXQuTm5uLAgQMYO3Ysfv75ZyQlJYExJvh6xhg0Gg0OHz6MJk2aWKwYHMdh9uzZyM3N5b2PVqvFkiVLwHFciSutSCTC7t27efuFMYazZ8/C3t6+QnELA2PMSEqrHS9evMCwYcPg6OhYJOVo06YNMjIyCrzfo0ePIJPJSlxxu3btijdv3phsl1KpxNy5c/UzV4Xi8oAxhgcPHmDChAlo1aoVevbsiUuXLkGr1ZZ4O54/f46goCCrKMc//vGPQj/A2NhYODg4lKjSurq64vz584X2R1ZWFiZNmgSxWFyhuHw4duwYvL29DTq3Xr16ePnypclrGGN49eoVXr16ZbXRmTGGZcuWFfribWxs0KdPH4SFheH8+fOYNWsWqlevbjQVHz58uNB7ZmVloWPHjiWmtO7u7ti4caPBurYg5OXl4fDhw/jwww8F92OZU1zGGKKiohAdHW0VZWGMIS4uDnXr1jXqYIlEgt27d/Nel5qain/+858ICAhAQEAApk+fjpycnCK3R6vVYtq0aQW++EqVKmH9+vVQKpUGz/H48WOMHDkSlStXho2NDcaOHYvs7GxBfbB06VKDKVmoODo6olWrVmjbti1atGgBOzs7k2VdXFzQq1cvXLp0yexNqrkoc4qblJSEZs2aoW3btkhLSytyfTk5ORg2bJjJ6ez69etG12g0Gt4XPWvWLJMfk0KhwOnTpzF27Fhs3LgRr1+/5i3HGMPp06dNTt2enp7Yvn07tFqt0b10G7q//voLFy5cQF5enuCP++XLl2jYsKFgheU4Dj169MDly5ehVCrBGENubi4uXbqEn376CR06dEDLli3RsmVLdOrUCZs2bcKtW7egVqtLZO9Q5hQ3Pz8fS5cuxfLly6FQKAotzxhDSkoK7t69i3v37uH169f6jderV6/w8ccfQyKR8L6cli1b8t4jNzcXfn5+RuXbt2/Pu3tXKpVYtGiRfgMkEokwfPhw5OXl8bZZq9Vi8+bNBveQSCRo27YtLl++XCwvnjGGGzduoGbNmoIUt2/fvkhLS+P9eAqSkkKZU1xzOkKr1eL48eP44IMPIBaLIZVK0bx5cwwZMgRDhgwp1My0Zs0a3nu8efMGvr6+RuVbt27NOzVfv34dlSpVMigrk8mwfft2k6Yg3Sbt999/x549exAWFobMzMxiffmMMdy6dYt32fSu+Pv748WLF8XWDmugzCmuOXj27Blq165t8SZiy5YtvIqiUqkwdepUo/Jjx47lHYHGjRvHW3+TJk0QGxtboDKW9GjFGENERESBhxJLliwpNVOhUJRbxdVqtZg9e7bFSktE6NKlC9LT03mVMSoqCi1btoRUKoVUKkWnTp2QkJBg1A6VSoV+/fqZvEdQUBAiIiKQk5NTZpSBMYYrV67Ax8fHqL1VqlRBVFRUaTexUJRbxX39+jXvkaE5wnEcBg8ebFJ5s7Ky8Ntvv2H37t3IyMgwOToXpLhEBFtbW3Tr1g2fffYZbt26BZVKVVLdZBKMMVy6dAl16tTRb0Lt7e2xYcOGErdtW4JyqbiMMRw4cMAqp0Ecx2HQoEEFnvAU1paZM2cKvp+joyN+/PHHMqEcunX2+vXrsWrVKhw+fLhQ26vug46NjcXz58/x5s2bUplJyqXiKhQKjBo1qshKqxM7OzscOHDA4va8fPkSbdu2FXy/mjVrIi4ursj9YK31sTn1xMTEIDg4GI6OjqhUqRL69u2Lly9flrjylkvFjY2NhbOzs9UUVyaTYdeuXRa3hzGGxMREfPTRR0ZOI3wikUjw119/Fel+Dx48wLJly7Bo0SIcOXJE8ClVUaDRaDBx4kSjGat///68hzPFufEsl4q7c+dOk7ZZS5YK/fv3F3QCVRgUCgUOHTqEoKCgAr2xGjdujOTkZIvuoVPaWrVq6e+hW5sWt/UiNzcXPXv2NHoeGxsb7NixQ7/8YYwhJycHv/76K0JDQ7Fjxw7I5XKL78uHcqm4q1atEnx8yXEc7O3t4e/vj4CAALi4uMDe3h729vZo2LAhFi1axLs5sxSMMbx8+RIDBw6EVCrlHW1/+OEHi+/HGMO///1vo3rr1q2L+Ph43mvkcjmOHj2KH3/8EZcvX7b4OFar1WL8+PG8/ezq6orQ0FAcPXoUa9asQWBgoP75ZTIZQkNDrTrylkvFjYyMNDL484mNjQ2mTp2KyMhIpKSkIDU1FQkJCYiPj0d8fDxSU1OLbW2WnZ2N9evXo0qVKhCLxeA4Dra2tli0aBHy8/Mtrler1Zp00lm3bp3R86Snp2P06NH6I2YPDw8cP37c5MGIVquFQqGAQqHg3UDevn0bnp6eBQ4SfLNNhw4drLohLZeKq1KpsHr16gIdPmrVqoU9e/YIOjYuLmi1Wjx//hzbtm3DkiVL8Ndffxk4zlgCxhg2bNjA+8yNGjXSb5QYY8jOzsbEiRONZqe2bdvyWlE0Gg3Wr1+Phg0bokGDBti0aRNUKpWBkms0Gmzbts3sPUaPHj0qRlzgrfJeuXIF48ePR+PGjSGTySCRSODv748ZM2bgyZMnZcbgb23ExMQYuWjqpHv37jh+/DhOnDiBYcOG8S5XXF1dkZqaalAnYwxnzpwx2Fza2tpi8+bNRv2oVquxYcMG2NraClJaDw8PXLx4sUJx34XOmSYyMhKPHj1CYmJimbCRFic0Gg1mzZplUlHs7OwKnI3c3Nx4FffXX381KhscHMzbnyqVCrNmzSp0r+Hj44OzZ89a/Z2Ue1IEXbh8w4YNKSAggKpVq/Y/z/UgEolo8ODB5OLiwvu7XC4nuVxu8voWLVrwRhvb2NgY/c1UKLlUKqXp06dT9erVeX/nOI6GDBlCf/75J3Xp0sX678Sqn0E5hG5DEh8fj9u3b+stDKUZk8bXvjdv3kChUBisXy1xMHJ1dTW5OXv9+jW6du2qLysSibB48WKT/aDVarFmzRqj5YiXlxe+/vpri08jhUAwr8L/IgBQREQEffPNNxQdHU0ZGRnk4+NDXl5eNGbMGKpevTp5e3uTh4cHOTg4kEQiMYvfqqjQaDR08eJFCg0NpczMTJJIJOTu7k6jRo0isVhM2dnZgusSi8XUqlUrWrRoEXXv3p33Odzd3WnXrl20fv16un37Ng0fPpyGDh1q8plFIhFNmTKFlEol/fnnnwSAGjduTFOmTKGAgIBinfk44P9muijGGJ05c4YmTpxISUlJvGXEYjF5eXnpOdIkEgnVr1+fRo8eTc2bNyc7OzuLFJkxRpmZmeTg4EC2tra8ZQDQyZMnacyYMZSenm7wG8dx5ODgQPn5+cQYK/R+gYGB9OWXX1JISAg5Oztb/eMDoG+HSCQqkY/7f0Jx37x5Q9HR0cQYo1q1apG7u3uB5QHQ5cuX6cMPP6Tk5GSz72djY0Nt27alKVOmUM2aNYmIKCsri44cOUJKpZJGjx5NwcHBetqqd+/7+vVrmjdvHj148IAqVapEkydPpkGDBpGDg4NB2eTkZOrcuTNFR0fztsHNzY2qVq1Kjx8/LpDSqGvXrrR9+3aqVq1aic4WxY5iW4SUAORyOcLCwtCpUydIpVKIRCIEBwfj+fPnJq9hjOHq1auoVq2a2etDPhGLxfrQap3Y2Nhg6dKlRsecqamp6N69u0FZqVSK8ePHIysrS7+WlMvlBe7Y3dzcsHfvXrx8+RJTp041ur9OgoODkZiYWCbW6tZGuVJcrVaLzMxMREVFISwsDH379jVybeQ4DgsWLDD5sh4+fGgU5l0cIpPJ8N133+nd/jIyMjB+/HiTPgydOnXCH3/8gYiICEydOtWkL4arqyu2bNmiD0pMT09Hly5djMo1adIEz549M9kPuqPpRYsWYeTIkdi+fTueP39ebpS8zCuuWq1GdHQ0vv76a4wYMQJt27aFvb19gfbDUaNG8b4AtVptMsymOEQikSAkJASTJk1Chw4dTI6MOhGJRCafSyQSoUGDBjh69KiBJxhjDPHx8ejSpQtsbW0hk8nQpk0b3Lt3r0AlfPXqlYErJsdx8PX1RWhoaJGOpEsKJaq4jDG8fv0ad+/exfnz5xEVFYWXL1+adPpIS0vDV199BQ8PD7O4r8aMGcP70qKjo02eOJVl8fHxwZo1a3ijbnX9mpeXh7CwMBw4cKDQoEvGGNauXcv7IYlEIixdurRER17GGNRqtdGhSEEoMcVljOHChQto3ry5/nhWJpPBz88PH330Ec6dO4f4+HikpKQgISEBx44dQ8uWLc0ma+M4DsuXL+dtQ1RUFNzd3UtdEc0Rf39/REREWPXkiTGGb775xuQ969atyxtfVxxQq9UICwvDuHHj0LRpU8HXlZjipqWloXnz5iY7SyaTwcnJCf7+/nBzc7M4LEcqleLhw4e8bVCr1Rg9enSpMBdaIk5OTjhz5ozVR7/CFNfGxga3bt0qUv26g5OC2q7jl3jXP0IoBB9AzJ8/nz744AMKCQmhSpUqmW1aycnJocePH5v8XaVSkUqlopycHLPqfR86RnA+SCQSWr58Obm7u9O+ffv0lPUAKC8vz+QxqUwmoyZNmtCAAQMoLy+PfvvtN4qPjy+wDTpG8qKgdevW1K5du2IxY3l7e5NUKiW1Wm30W6NGjfRmPnMBgLKysmjDhg2Unp5OLVu2pKFDhxqZBomIXr16RatWraL8/HyLbiQI9N8vsXv37khJSRH8ZegQHx8PV1fXIo1AHMdBJpMVOGLKZDJER0cX2Ba1Wo3MzExkZGQgIyMDqamp+OOPPzBmzBi4ubnp6xeJRKhevTo2bNigN1dpNBpERUXxko2IRCK0b98eK1aswA8//IAuXbqYbKtIJIKLiws8PT3h5ORkVM7R0RFHjx4ttqiG7OxsDBo0yOi+tra22Lhxo8WjvFqtNiC9trGxwbfffssbWnTv3j2j42KhMEtxdR2+ZMkSwTfQQaVSYe7cuYXurE2Jj48PFi1ahJ07d2Lu3LkmPwKpVFqo4vKBMQaFQoHHjx9j2bJl+PLLL7FixQrEx8fzbh4fP36MgIAAg+l1/Pjx+jB2ndda+/btjdookUgwZcoUPHv2DGlpaYiKisIXX3wBLy8vVKpUCZ6enli2bJlJX2LGGORyObZv345ly5bh+++/R2RkpFlxZzpT2uLFi+Hv7w9XV1d0794de/bsKVL8mkKhgL+/v8Hz2tvb87o1Xr582cjsJxRmKy4R4ZNPPhH+JO8gNTUV/fr1M2uNKRKJ0LVrV9y6dUv/4BqNBrt37+YNTJRKpUUmtBAykjHGEB0djXnz5mHmzJnYu3evEQkdY29Ztz08PAyUdvbs2UYOKGq1Gq9evcKLFy+QnJxcIPeCUqnE9OnTDfYBlStXRmhoqFlEeMDbdWZaWhqSk5OtEmquUCh40wL079/faIMZGRlZciOunZ0d/vjjD8E3eB+JiYlo1KiRQWPFYjECAwPx8ccfY/z48WjatCkqV66MNm3a4LvvvuM176jVakyfPp1XcSMjIy1un7koTMm1Wi0uX76MGTNmYPLkydiwYUOR7KSMMRw7dszkR/v1118XO8VnQVCpVOjWrZtR2/z8/BAbG2tQNiUlBU2bNi1exZVKpahXr54+nMNSaDQaA+okkUiEhQsX4vXr19BqtXp7Xnx8vEn2GB1iY2ON2GxsbGwsWioUJ4TusoXWtX79epMzlKOjI65du1ZqJ2CMMWzcuJF35nyfoZwxhj179hiEAQmFYKvCo0ePqFKlSuTp6VkkdzW5XE737t3T/18qldKYMWOoSpUqRPTWu6gwJxkdatSoQYsXL6Zp06bpd6adO3cmb29vi9tXHNBZBaxlHSio/3NzcykxMdEq97EEHMeRl5cXyWQyUqlU+r8zxoysLBzH0dChQ8nHx4e2bt1qVvoowYpbt25dwZWaAgC6efMmXbt2Tf83rVZLMTExVLduXbNfrEgkotGjR5OtrS0dPHiQHBwcaP78+VSpUqUit7WsguM4atq0Kbm6ulJmZiZvmaKa4YqK+vXrk5ubG7169Ur/N1PujhKJhNq1a0fBwcGkVCqF38SaU0RhGxqlUsnrKzB8+PAiRb9aaxouL9CZnPg2ufb29sVGDi0EjDGcO3fOKJuQWCxGeHi41e5TZBd1AJSYmEg//fQTDRs2jLZs2UKJiYm8GRKzsrLo7NmzRn8/deoUJSQkWNwGjuNKzIG5LEAikdDSpUtp5MiRBnFiHMfRsGHDqGXLlqXWFwDo4sWLRhni+ZYKRb2RxWCM4enTp0apj5o2bYo7d+4YffVZWVlo1aoVr13z8ePHFt1fLpcjMzOzVNI+JSUl4cqVK7hx4ways7OtyoYjpK78/HycOHECQ4cORUhICDZu3Gjg11vSYIzh4sWLJv1BTp8+bbW2FUlxtVotRo4cydvI3r17G5lldPRB7x9CeHp6Fuj8zYeUlBQsXLgQbdq0QWBgIGbNmlWswXnv4tatWxgxYgTq168PW1tbODo6onXr1vjzzz+L9GIyMzPxzTffoFOnTggJCcHu3btLhMzOGmCM4eHDhwUmSCko8NJcFElxNRoNGjduzNtIf39/Xje1vLw8A+O5i4sLli9fbpbtMTs7G0OGDDFY4+nc8YrThskYw5MnT0zS0IeEhFi8Vs/MzMSIESMM6rO1tcX69estfibdjHj+/HlcvHgRycnJxTYaJyUloWXLlgUeJjVq1MgqmZQAK4y4H374oclG8mWdYYxBqVTi7NmzCAsLw40bN8weVfbu3cvL0FK9evUCE+4VFYwx/P777yZfzMKFCy1SMsYY5s2bx1unn5+fRUySOmYaXRIWjuPQunVr3pwUWq0WkZGRiIiIMMsn9t17rV69WhAR4aRJk6yyrBKsuPfv38fTp0+NvO/j4uIQHBxsMPrZ2dlh/fr1xeYgMmPGDN5OsbW1NTqdsSYYYzh8+DDvvQMDAwtNVGIKycnJBn4P74qHhweSkpLMrjM+Pp736LVr164GXLZarRbbt2+Hq6srOI5Dhw4d8OjRI7PulZubizZt2hSqtPRf68LgwYMRFRVVJOUVrLhisRgeHh6YNGmSgXIwxpCcnIxdu3Zh3LhxmDp1Kk6cOAGNRlNs09Lu3bt5R1wfH59iH3FTUlLQtWtX/TpdKpUiODjYZCZMHXmHjiKK77j36tWrJkcrT09Pi0bBO3fu8NYpk8mwevVqKBQKqNVq7Ny508h0FRwcjFu3biEvLw9JSUl4/Pgxnj59qickeR+xsbGoXLmyIMXVSZUqVbBt2zaLeXPN9lXgOA5jx4418FzSjZwajaZYFVaHjIwMdO7c2aAjRCIRvvrqq2K3LjDGkJaWhr1792Lbtm04cOBAgVNfSkoKBgwYABsbG8hkMsyePdtIea9cuWLS8cjf39+iVKzR0dEGzj3vio2NDQYPHowRI0aYzN5euXJl9OzZEw0aNIBMJoOzszMmTZqkT4Cog1arxZIlSyxyzre3t8fmzZstemcWeYc5OzsX65RcGBh7m85p2LBhqF69OmrWrIlZs2ZZhVXcnDYUttTRaDT48ssvDV6qVCrFtWvXDMpFRETAxsbGqutmrVaLxYsXW5S/tyDp37+/gevm06dPeZMZChV3d3fcvHnT7MHOIsX18PAo9cyDjDGoVCrk5uYiLy+vTJqNsrKyeHOJzZkzx6BcXFwcb+orV1dXi16qDmlpaejVq5dVFZfjOHz00UfIyclBbGwsOnToUOQ6BwwYgKysLLOezSLFnTp1qlUU5X/9qDYzMxNVqlQxelHvp7dPSkritX/279+/yMTUiYmJCAwMtKryOjg4YNKkSUYuie/+3qhRI9SqVUtQrg6JRILRo0eb5dVn1pGvVCqlrl270qJFi0gisZwvDwC9fPmSQkNDaf78+bR06VKKiYkpdecQa4PjOLK3tzf6+/uUSUlJSRQXF2d0be/evU3GzwlF1apVqXnz5kWq4304OTlRbGwsRUZGGv3m6elJv/76K127do0iIiJo2LBhhdan0Who9+7d9MEHHwhvhFANX7hwIbZs2VKoj6wQxMXFoUWLFgZrv5o1a+LYsWP/U6OvSqXCp59+yjuS6tatpvxXPTw8eCM5dEukN2/eCFr75uXlYeDAgVYbbevXr49Lly7h2bNnRodPYrEY69evN8i+Y8p8aEqEQnBJa57Df/vtt7y70KZNm1qcRsnasNTG/H4dy5cvN3pOd3d3XLt2DQqFAlFRUahXr55RmZo1axpZH9h/aZO++OILNGnSBHPnzsXz58+NduWMMeTn5+PBgwf45JNPTG78zBVvb29cvXpVv8SbM2eOwe+urq4GiQeFKK5MJkOlSpXQpEkTjBw5UnDfljgFE98D60QkEhUpcZ01wBjDo0ePsGHDBuzYscNkKimNRoP8/Hzk5+cbJfh4t64VK1bwPmu1atXQv39/k+R7derUMbJxKhQKjB071uCjr127NjZt2oSMjAzk5+cjLi4O69evR9u2beHm5ma1kVYkEhnlUgsLCzP4KIYPH25kJp02bRpvfWKxGL1798bBgweRkJCAtLQ0s9bzJa64jDHs2LGDN/GFj48PYmJiSrpJBm07d+4cqlevDo7jIJFIEBgYiAMHDujTJ+m4zL788kvUqVMHNWvWxKhRo3DkyBEjA72ppYIQGTt2rNEGOCUlhdc2K5PJ4OPjgxo1asDLy8vqJjAiQosWLYzMjS9evDBI2/XZZ58Z2Xg/+OAD3o9g2rRpRcooXyqkd/n5+fjXv/4Fb29vSCQSSCQSNGjQAPv37y+1xCO6qF0+BxoHBwe0b98eK1euxMiRI+Hl5WVUxs7ODiEhIfjzzz8hl8uhVCpx5swZiyifbG1tcfjwYaOXGh0dbdVRVKi4ubnh1KlTRu1JTU3Vzxi2trY4fvy4we9arRYtWrQwqq9Dhw4WHaq8i1Jja9TlAIuMjERkZCSSkpJ4vz7dKFfYidy7AYk6MWedKpfLMWHChCLTM9nb26N+/foICAiwiACF4zgMGTKE10EpIyOD96OxlohEIkgkEohEInAcB5FIBE9PT+zbt493QNFoNNiyZQsCAwMxf/58ozZrtVqj5NwODg5Fdv8EgDLNSJ6enk5LliyhS5cukbe3N/3444/UoEEDI+9+AJSWlkbh4eF04sQJSk5OpqZNm1Lz5s3J2dmZmjRpog/GBEBisVhPk0REpFQqaf369fTVV1+ZF/dUBLi4uFDbtm3J1taWtFotaTQaEolE1KFDB5o4cSK5uLgYPadarabPP/+cNmzYYPX2VKtWjdauXUt16tQhxhilpqaSVColX19fqlWrlsmICsYYpaWlkaurKy8De1hYGI0dO5ZycnKI4zgaO3YsbdmypchmvjLLj8sYw5QpUwy+1iZNmiAmJsaIdCMqKgpBQUEmnUrq1KmDZs2aoVmzZggMDETz5s0RHByMOXPmYPXq1ejUqZPgZHPWkCZNmiA8PFwf5q/z8xByGJOQkGA0ihUmulG0oDJTp04tlmWaWq3GyZMn8eGHH1o1QqNUFFfIOX9kZCTvtPjxxx8bbFpyc3ON6OnLsgwbNqxIfh6MMSQkJPBSO70vlSpVwtq1a3Hz5k2cPn2ad6NE9HaHf+zYMYvbVBooccVVqVS4efMmzpw5g4sXLyI3N5e33Llz53g7uXLlyvp4NsbeZkO0lJK0JEXnVZeRkVHkPmSMITExscCR18HBAdu3bzcYHKKionhzo5U0+481UKKKq1QqsWTJEn0mb7FYjH79+vGOQOfPnze5UQoNDYVWq4VSqcSkSZNKXSmFSNeuXfH69Wur9SVjDBEREby+EESEKVOm8Mb8bdiwwch/wNvbu9SdpsxFiSpuRESEXmnfHYkmT55sZHyOjY2Fn58f70uZPn061Go15HK5UZxWWZTq1avzRj0XBF0Ec2pqKtLT0yGXy43WwGq1GuPHjze6X5cuXUxSwcrlcnz22Wd65ZVKpViyZEmpREm/ePEC169fx40bN/DXX3+ZtYQS7Cnz8OFDcnV1papVq1pMwXTgwAHKy8sz+BsA2rt3L82ZM4f8/f31f/fz86MaNWoYOZ8QvWVKEYvFJBaLqVmzZrR///4y66BTq1Yt2r59OzVr1kwQ1wEAioqKotWrV1NcXBxlZGSQRCIhZ2dnsrOzI6lUSg0aNKAuXbpQlSpVaPDgwZSQkEApKSkkFoupb9++NGPGDL0V5X3Y2NjQ8uXLqUOHDvTo0SMKDAykkJCQEs9/HB8fT7169aInT54Q0VvybC8vL973zQuhGi6VSlGnTh0MHz4chw4dwqtXr8weQT7//HPeEUkkEmHLli1G1/Tu3duorM75RHfvZ8+ewcXFpdRHVSJCw4YNsWnTJuzevRu//PIL9uzZg6dPn5rVT0+ePBGUo1ckEqFy5cpYtmwZsrKykJ+fr08hJfR9WMMfw1Ls2LGD19IhFBb544rFYjRu3BihoaGIjY0V5JtbkOISveVheNephDHG6wTdoEEDg2VFbm6uURhPaQjHcXom7/dFKBhj+Oyzz8y674ABA4rEnllaOHLkSJEU16L5QavV0sOHD2nhwoXUpk0bmjRpEp07d45ev37NS7307nWmcOrUKVq9ejUpFAoCQPfv36eoqCijcrVr1zaY1uzt7alTp06WPIZZcHV1pc6dO1P9+vV58xng7SBARP8/B8S7hxxCkJ6ebkAIKAQ6+qnyhoCAAMGsnLwQquFUyJcvlUpRv359LFu2jDcNZ2ZmJoKDgwusQyKRYMiQIZg2bZoRHbtO2rRpY0C6wRjDDz/8UKyZdBwcHHDo0CEoFApkZWVh8eLFvCkB+vTpUyAhCGNv6foTExP1zOPvzlY3b940y7THcRzmzp1bLn2YtVotZs2aZfTehMJqiqsTkUiEmjVrYvXq1Xj16pWe22vdunW8IeXmip+fn1F80t27dy1OjCKkTYMGDTKYjjMzM3l5BNzd3fHgwQPe/mPsbVrUadOmwc3NDfb29vDx8cH8+fPx999/Izk5GVOnThXcbrFYjC5dupQZ/2VLEB8fb+SLLBRWV9x3O9bb2xsjRoxAUFCQ1Q4JpFIpdu3aZTDKKBQKTJgwAXZ2dhCLxXB2dkb16tUxevRodOjQwaRy+vj44F//+hf69OkDOzs7k8+xc+dOo/7YsWMHb/lly5bxmpbkcrmRL63uQ3d3dxccn0VE+jD390PFyxsYY9i1a5eBiVQoik1xi1P69Olj5LCsSwm6bt06REZGIiMjAwqFAjk5OZg8eTJvPZ9++imUSiXevHmDffv2oVOnTnB0dNQrl0QiQffu3ZGenm7UH3fu3DGySRO9jVx4/6CBMYY//vjD5MdhrvTs2VNwKL7OYy4vL88gRVZOTk6puZC+C7VajZ9//hnu7u4Qi8WCryuXiuvi4qIPISkMjL1N9vF+HRzH4ddff9XXwRhDTk4Obt++jcWLF2Pu3LnYtGkTr9ICb60ZfEeuIpEI8+fPN1haWNufYtKkSYKUTi6X49ixY1iyZAm6du0Kb29vVKlSBVWqVEHDhg3xww8/WCWGsKjQaDSIiYnBunXrBF9TLhWXiDBz5kzBZriVK1caXe/u7m4yTEiIGYsxhp49e/K2zdXVFZs3b0Z2djaysrLwz3/+U/AyQIjUrFkTz58/L7CNGRkZGDduHO+soBNd+ExCQkKpK6+5KLeKW61aNV7rxbvQeVLxcRbUq1evyGmbCiLbsLW1RY0aNVCjRg2rKq1OhgwZYnK5wBjDmjVrBCdDbN++PR4/flyulFew4hZHHFNRRCQSYcaMGQZxXu9GQajVasTExGDAgAG8prL69esXyXCvUqnQtWvXUnt+iUSCn376iXfJkJGRUShX7fsSFBRUZAbFkoTgCIht27bRyZMn6ejRo6RQKIRcUuyQyWQ0adIk6t69O3EcR3K5nJRKJSUlJdG5c+coOjqaXr58yXttvXr16N69e2Rra1vgPd7vHo7jCAD99ddf1K1bN8rKyrLW45gNd3d3Cg8Pp0aNGhn8/fbt29SmTRt9km2haN++Pf32229UrVq1sp9PwxwtVyqV+O6774pl6iuK6AIuzbnGyckJFy5cMDnC6EbuiIgI7NmzBzt37sSBAwdw+vRphIWFlYljZqK3dE7vL3muXbtmcX29evWyiNa0pGG2W+Pr169NUsmXN/nwww+hVCp5lVetViM0NNQoqtbW1tYqBynWEltbW/zxxx8Gz3DlypUi1Tl8+PASy6dhKcxWXI1Ggy+++KLUX5g1xMbGBj/88IORw7VWq8W2bdusxgBT3NKqVSsDs93Vq1eLVJ9UKsWOHTvK9HrXbMU1xXVVXsXR0RE///yzgfLGxsby0iKVZVm9erVe0YqyVNBJ69aty/SoaxHlolgsNvlbw4YNadCgQWRjY0MXL16kvLw8ys/PJ5lMRjY2NmRjY0NKpZLu3btn5FTu6upKDRs2JI7j6OHDh5SdnW1J88xCbm4uzZo1i1JTU6lPnz4kl8tpyZIl9Pfffxf7vYWC4ziqWbMmiUQiio2N5XWaDw0NpcaNG1Pnzp3p2bNnRb7n3bt36eHDh9S6deuyuVEzR8t13k2mMsT4+voiMjLSwBdVpVIhMzMT+fn5Bn/77rvvDNaK7u7uOH78uJ7MY9++fXBycirRUcvV1dUktXxpiUwmw4IFCxAXF4eEhAR8++23Jg8VvL29MWjQIFStWtUq9z5+/HiZXS4IVtz+/fujf//+CAkJMdlxgYGBgqJYGXub8ORdHqzRo0cb2CS1Wi06depU6opTEiIWi1GnTh0EBAQYfDhSqRQLFy7Uk+rp+BdWrlxZIuvv6dOnW6y4ukHuyZMnOHfuHBYvXoxDhw7hzZs3JcurIPQFfPPNN8jNzS20cc+fPzfg1frwww8N1pmMMXTp0qXUlaq4xdHRET/++CNevXqF3NxchIeHY+HChejUqRPWr1/Pm+lGpVLhk08+Kfa2NWvWTDCBB2MMWVlZel+P4cOHo1evXqhcubL+AEgqlWLVqlVlT3GJ3tpUR4wYgUePHhVoI928ebOB7dXLywtXr17Vc4Rdv37dalNecYqNjQ169uyJb775Bu3atTNrqSGRSAyIkHV9o9Vq9f1gir702bNnqFu3brE+G8dxmD59ut590tT7VCqV+PPPP9G1a1fIZLICnfqDgoKs4pVWbL4K3t7eJpMOq9VqXpNa1apVMWbMGEyaNMlkaHpZEqlUimXLlukpSOVyOcLCwtCuXTsD+k1TYo574vtgjGHbtm3FblMWiUQIDAzEuHHj8NFHH+H777/HgwcPEBMTg5iYGERERGDs2LGwt7cXVF+LFi2skrZW8JGvJTtLb29v2r9/PwUHBxtc//LlSwoKCqKkpCSz6ywILi4uNH78eKpRowYdPnyYrl+/TiqVyqr30IHjOOrbty/99ttv5ODgoH8+AKRQKOjatWv0999/EwADcr2jR4/S06dPqW7durR161aqUaOGxbt2hUJBISEhdPnyZas9V2EQiUQkkUhIJBIRx3Gk1WrN6uOmTZvS9evXyc7OzuDvAEilUpGNjY2geopVcYmIGjVqRFu2bKGgoCASiUSUk5NDCxcupI0bN1qVC8HFxYW2bdtG/fr1I7FYTPn5+bRnzx7aunUrJSYm6s1x2dnZlJ6eXmhnOzs7U7169ah///7k4OCgZ4Q8fvw45eTk0MCBA2nmzJnk6+trsm/4ulalUpFKpSKJREK2trZFMjUBoNOnT9OQIUOMTIsSiYRCQkKoa9euJBKJSKPR0P379+ncuXOUkpJSajwUrq6udPLkSWrZsqXBxx4eHk6//PIL7dy5U1hFQodmKsJ04+Hhgc8++wzz589Hjx49rD69OTo6Yvv27UZrRV1kRHZ2NnJycvDmzRukp6djy5YtaNiwIe9arHLlypg+fTquX7+O3NxcA55djUaD3Nxc5OTkmMVhUJxQqVSYNWuWgQujRCLB3Llz9ZtknSiVSiQnJ2PBggVwdnY22Z9OTk5wd3cv0Je3KLJgwQKDd6VQKPCPf/wDZqhj+fDHdXBwQLt27fDVV19h8eLFGDlyJDw8PODi4oLq1avjl19+KTC69n1otVrEx8djwYIF8PX1hYuLC7y8vDBjxgzcv3+/zPAUaLVa3LlzB8uWLcOqVauQmJjIm6gkJycHc+bMgbu7Ozw9PbF48WLI5XKTH5ZarcahQ4eM8u/a2dlh6tSpuHfvHtLT03Hx4kUMHjzY6qSCPj4+ePLkib59Go0Ga9euRZUqVQT3TZlUXLFYDEdHR9SuXRszZ87ElStX9PkC3uXUSklJQVpamsW7VI1Gg7S0NLx69Qqpqakmk5CUFsLDw/VUq7ro6cOHD/Mqr1KpxOvXr/H69WtBz6HVanHy5El07NgRzs7O6NixIw4cOGA0AOTn52Pnzp1o3ry5VWfK//znP0YBr+ZkiS9TistxHAIDA7FmzRo8f/4cqampJZLUuqSh0WgQHR2NyMhIk+FHjDHexCceHh64ffu2VfqEsbeZ3ZOTkwtMJKILrf/Pf/6D9u3bW4UEe968eUUyi5UpxW3bti3i4uL+5xT1XTDGEB4ejurVq8Pd3R3Lly/nda3UaDSYOHEibz8NGTLEJK9wcbc9KysLFy5cwJAhQ4q0hPj555+L9J7LjOKKRCKcOnXK4gcpL9BoNAZkfjY2Nli/fr3RS2SMYd68ebwbSAcHBzx9+rSUnuAt8vLysGLFCouWD+7u7kWeNcoU6ZSzs3NpN6FEkJCQoP+3UqmkDRs20OvXrw3KcBxHU6ZMMQrLIXqbxCQjI0P/fwCkVqvp8uXLtH//foqLiyPGWIE8bkWFvb09TZo0iRo2bGjWdWKxmCZNmiSYdtUkhGp4cXJz6WTixImF7ugtZUJ8//qCUkoJKWOq7hcvXuDIkSOIjo7mXcNptVoMGzbMaLY5ffo0b32PHz9Gx44d9cfjHMehYcOGSExM1JdJTk7GwIED4eTkBJFIBF9fX0ybNq3Yl11arRZz584t8J3q0k5JJBIEBARg1apVVvHzFXwAcf36dTp69Cjt37/fKv6efHB0dKRffvmFhgwZwvs1AqCHDx/SlStXSKPR0AcffEBBQUFGmdx1jxQZGUnPnz8norcnPvjv6cy5c+fo5s2bRETUtm1b6tKlC/n7+1OtWrUoOzub7t27RwkJCXTo0CHKz8+nwYMHU79+/cjPz6/Aw4azZ8/StGnTKC4ujry9vWny5Mk0b948g9RIAOjixYs0YMAAysnJIaK3o+vJkycpJCSEt+7MzEx6/PgxnTlzhqpVq0bdu3en6tWr6wM3N2/eTNOmTTMaYevVq0cLFiygUaNG6U+6rI0dO3bQ5MmTDQ50OI6j5s2b08SJE/X+vBzHkZeXF3l6elqnHeZoOWMMMTEx6NKlS7GNwJUrVzZJ1BEZGQkfHx99WWdnZyxZssRglGaMIS0tDXPmzIGnp6fBl2+qzRzHwdvbG82aNUPdunV512316tXDtWvXTI5gSUlJRgyTTk5OuHnzplFZjUaDdevW6f0ZGjRooB9BzQVjDEuWLDHZn3Z2dpg3bx7i4+MtnqUKQnp6Opo3b66/n4uLC+bMmVPsAZcW5YBITk4uVl/ZCRMm8HbwzJkzjco6OjrizJkzBsbsOXPmCCbDMEd69+5tcjcfHR3Nq/CLFi3iLa/RaHD16lV8//33uHHjRpH8Xo8ePVpolLO/vz+++uornDlzBufOndPLnTt3zDq84bv/06dP8cknn+DTTz9FRESEIIahosIixWWMISwsrNiS2nXv3p3XyP7hhx/ylu/YsSOys7PBGMOff/5ZbEeVMpkMERERvH3y9OlTo/vKZDLs2bPHki42C1lZWWjVqpVFz+Ti4oLOnTvj4sWLZYIETygssipwHEf+/v7k4uJiyeWFAu+wewtBREQE3bhxgxQKBa1bt87I4cRaUKlUJJfLeX+rVq0ajRgxQr9+E4vFNGLECOrXr1+xtOVdODk50bRp0yxaO2ZlZVF4eDiNHTuWEhMTi6F1pgGAMjIy6NatW3T48GGaM2eO4GstCpbEf5lc0tLSLLm8UPBR0KvVapNKo1Kp6O7du9SwYUN6+PBhsbSpMNja2tKKFSvIx8eHIiIiaNiwYTRkyBCyt7cv9ntzHEcdOnQgPz8//WbUXBQUAGstqFQqevr0KcXExNDBgwcpPT2dUlJS6N69e3rWnVWrVgmrzNwhmjGGlJQUdOjQodjWuE2aNDHimP37779NJqOzt7fHpUuXkJaWhurVq5ssM336dOzfvx/r1q1DixYt9MGYYrEYfn5+6NGjB37++Wds2LAB7du3N9jcEb3dRMXExBTYNzozWnFshApCUlKSRSH1HMehadOmOHfuXLG1lzGGa9euYejQoXBycipwYy8UgksyxqBWq/Ho0aNiz53LcRw2b96sdxbJy8srMGNPq1atkJmZCblcjkaNGvGWWbZsmUE4jEKhwKVLl/Dbb7/hwIEDSExMNPhdrVbjwYMH2LFjB7777jts2rQJDx48MNgExsfH4/Hjx0hISCiW9aFQezVjDLt377aImLBbt27FSjOq2zy+GxhbkAiF4JITJkzAiBEjSiynmIuLC0aOHIlp06ahd+/eJl8Kx3FYsmSJ3kOKz9rh4uJi0sRWWKfzjaByuRzffPMNfH19IZVK4efnh127dllNeRljePjwIT7++GOMHz8eW7ZsQXp6usn4s6ioKItCnWxsbBAeHm6R0uo+3NjYWKOsoO+27fLly0YzV4kqbkkoqyXi5OSE+/fvA3jrGse3u27bti3kcrngTikIjDFcuXLFKDy8SpUquHXrllXu8ezZM4NpXywWo3v37ry5gBUKhUlrS2Hi4OCAhIQEs9unVquxbt06eHh4wMnJCePGjTMatRljJpO8lLriurq6FuhJXxIyePBgPVuhXC7nXed16dLFalMhYwy///47b1uK6vGkq3/WrFlGdYvFYqxcudKo/vDwcItJTGQyGf7880+z2swYw6lTp4yCI1u3bo1r167pcw6/fPkS48ePN/ugSigssioQEXXp0kWfUO/jjz+m+/fvW1qVxfD09KRZs2YVynErNABPKEzxzhYUx6XVaikpKYlSUlKodu3a5OLiwmu+0mq1vPlstVotxcfHE2PMwAKgVCp52+Pk5EQ1atSgmjVr0q1bt+jVq1dGJkaVSkVLly6lgIAA/RFyYcjMzKTQ0FDKz883+PuNGzcoJCSE+vbtSx4eHnT06FF68eJF8Tn6CNVwem+K0fEmFDQCvS92dnbo0aMHlixZgqVLl2Lx4sXo168fqlSpYvZhhpOTE8LCwgzWlXzZxEUiEbZt2yb4Sy4MjDGcOXPGrBFXq9Xi0KFDqFq1KhwcHBAUFIT4+Hje+l+8eGGSxpUvGZ9cLsfUqVPh6OgIOzs7VK5cGR999BFu376NnJwcyOVyxMfHo0ePHib7skWLFti/f78Ry8z7Dk05OTlYuXJlsfIjC4VFI66bm5t+xAAgyAbo7u5OGzdupF69ehnYNhUKBeXl5dHVq1fp+++/p1u3bgmKQB05ciT16NHDIB2oWCymiRMn0okTJyglJYWkUikNHDiQBg0aZMlj8oLjOJLJZPpnf/fvUqnUaNQCQI8fP6bPPvtMH44fERFBGzdupO+++86ofGpqKu9BgLOzM/Xu3duovI2NDa1evZomT55Mqamp1LRpU3JzczNoi6+vL/373/+mFi1aGI2URER37tyhMWPGUGBgIPXs2ZOkUqnRSMkYo/Pnz9O1a9fMZjovFgjVcHrnq7CxscHZs2ehVquRmZnJm+X8XXFwcMDvv/9e4K6bMYakpKRC6yJ661xz6dIl3nq0Wi3Cw8Mxe/Zsfeab9++Tm5uL9PR05OXlWbQmffTokZFNWSqVYt++fUZl1Wo15syZY/QMrVu3NsqQqdFoeKmVdCmoiuID8OLFixInEZTJZLC3t4e9vT1sbW0FrXeFwuLNWdWqVfH5558jKCio0KmjT58+gnb1jDHcvXsXvr6+Bdbn4eFhUQQAYwyXLl1Cs2bN4O3tjcDAQIscXOLi4lC7dm2DNulsz+9Ptffu3eM1B0mlUgMqf8YYjh8/zsuA07p1a6SkpJj9vO+248CBA1aP1i3o/UyePBmnTp3Cixcv8OLFC9y5cwdff/01OnbsWKADlFCUiDns/RdaWCfv27evwCyMYrGYN9ylMMjlcqMRvWbNmrh//75ZdV2/fp13TR4QEIDIyEhoNBq9nXPAgAEmn6NNmzaIiopCXl4edu/ebfQxEL2d3Xbu3Gmx07xcLsfevXsFHwAUVRo3boy7d+/yzg66mLWFCxeaVF6hKBHF/eWXXwQ3CHhrm/z0008LnFr8/Pxw48YNg9Ouwl7u06dPUa1aNaO6QkNDBR8eMPY2W7updvn4+GD69On4/PPPUbNmzUKnR09PT9SuXdvkh1q1alWT2S0LamNubi7279+Pzp07F5u33Pvi6OiIiIiIQt9DXl4eQkJC/vcUlzGGN2/eFDhaEb2dksaNG4fdu3dj79692LdvH65du2ZyLZidnc1rEBcSMqRrV2JiYonS7Ldp0wZ5eXlG7eALLWLsLdtOeHg4evbsWeI5LEaNGiXYt9dUpnihsNiOaw50gXtC3e44jiNHR0eaMmUKHTlyxGS5169f06+//kq//vqr/m+urq60ePFimjlzptH9KlWqRIMHD6abN2/qLRccx1Hjxo2Nwn9MYeXKlRQdHS2orDWQmZlJWq3WYJf/9OlTOn/+PB08eJBUKhWFhIRQ/fr1SalU0t69e+nixYv6sKCSglQqpV69ehmEKZkC/ksMWCQI1XAqwpdo7omSbvSwNElK3bp18fLlS9668/LyEBoaiubNm8PHxwejR49GcnKyoDZduHBBEH2oNUUqlWLu3LkIDw/HyZMnMWvWLIPwpbIiDRs2FByuk5ubazIrp1CUiOKuWrVK0BpSq9Xi3r17OHHiBCZPnmzxcXLz5s15z/V10MWlPX36VLCJSa1Wo2/fvqWmGDY2NsUSjmQNcXZ2xtGjRwUPTrdv3za5jBGKElHcfv36FbqGTE1NxeTJk42I2MwVBwcHbNmyxapuejozmrk+Ad7e3ujQoUOpk1RzHKe3pVq7brFYjAULFggmCmSMYfr06SbrE4oSWeM+fvyYNBoNSaVS3t8ZY/Sf//yHtm7davHZtkgkombNmtHChQt5T5iKigcPHlBubq7g8o6OjrRr1y7q1KkTPXv2jP7xj3/QnTt3DMrY29tTSEgIDRs2jH777Tc6fvy4xc9fr149atWqFQ0ZMsTId0MkEpG9vT0xxujp06e0bNkyiyMl3oetrS1169bN5Lt9Hy9evKBjx44V/cZCNZyK8FVWqlQJp06dMjkKqlQqBAQEWDyaNGnSBHv37i2QuK0oUKvV6Nixo1ntqlWrFjIzMwH8/0jYpk2b6n93dnbGtm3b9LxhGRkZZgc86kb0X3/9Fa9evTLyLeAzEeqiEazl1cdxHMaPH4/U1NRC+z4/P7/QpCtCUWL+uMHBwSbZXRQKhcWJOHr16oWXL18KVliNRoPk5GQ8fPgQ9+/fx6NHjwrMLKOLaHZ1dQXRW7vrsmXLcOjQIWzcuBHe3t687apTp47Bka5OeUePHo0+ffoY5cdgjGH48OGFPq+XlxdGjx6N/fv3IzIyUm8OMwdKpdIkoZ4lIhKJ0KZNG+zbtw/Pnj0zSG+l1WqRmZmJBw8eYPLkyYWe3glFiTqS16xZE9999x2ePn2qT2DBGENERIRFa1snJyeTBm+dEf7Jkye4ePEivvzyS4wcORJDhgxBo0aN9JsdOzs7tGvXDrNnz8aDBw/0iQTVajWePXuG0NBQfdvc3d31HA462bVrF+8hg6urq1F82vu21/cxdOhQk89qZ2eH8ePH48GDBxYp6/vtOHPmjNWTEXIcBy8vL/Tv3x/Dhw/H8OHDMXToUAQHBwteXwtFiUdAcBwHDw8PTJgwAeHh4Thz5gw6d+5sUV1du3blNc5nZ2dj//796NmzJ+zs7CAWiwU5eNjb26Nv374YO3YsRowYAQ8PD4PrunXrZrQJ+euvv3jr5jgOn332mcmwlvfx5s0btG/f3qgesViMRo0a4ffffy+QZdxc5OXloVu3blZVXGuIUJRq6I5EIrHYt9PBwQG7d+82eJE6z7CQkJBi8RkNDAw0MLMxxrBixQqT5W1tbTF79mz8/fffyM3NhUajMRotdevb+fPnG8TV6WaCX375RXCSPHOgm+lMRUWXdcUt9qw7RYVYLKZ+/fpRp06d9MmrGWPUr18/Gjp0qD66QavV0u+//07Tp083oOC0JkQiES1atIi++OILEovFdPv2bRo3bhzFx8ebvIbjOKpUqRK1bduWqlatShKJRC9isZjUajXdvn3b4DTPz8+PVq1aRX369ClyZp6CAIBu3rxJ48eP16e2Km0IboNQDadS+gIbNGiAlJQU/ZpSqVQaMXgzxnDy5MkSiUCWSCRo3749evXqJTgpnTkiFouxdevWYgsXfx+MvSUynDhxotUPOCQSCSpXrozKlSsLdqkUijKvuEJSaCoUCowcObLU2mhN8fX1xfPnzwW/QKHQarVIS0tDYmIiMjIyjFJr5efnY+rUqVZj4QwKCsLmzZvx/PlzxMfHY9euXZg5cyY8PT1LlhCktF5k3bp18erVqwLblp2dbTJOq7yJp6cnHj16JPgFCoHOkdzX1xeurq7w9/fHkSNHjJQ3Li7OKv3Ypk0bvHjxwmjWUKvViI6OxieffGLS1VIoyrziisViHD58uMCpMzs7u1wkrBYiHMdh+fLlRvluhfoc8+HNmzfo2bOnwX3c3Nxw4sQJo83tu1y3loifnx+ioqIKbKdSqcSFCxcwadIkeHl5wcHBQS9CUeYVl+it2UuhUJjsjKysLJMHAeVRvLy8sG7dOqSnpyMnJwdnz57F2rVrsXLlShw4cEDPIyEU6enpvKdybdq0Mdg/5OTkoGHDhha3u0aNGjhw4IBgp3yVSoXk5GQkJCToRSjKheJKpVJ88803vGlIGXtLQeTm5lbqCmdNkUgk8PHxga+vr4Erpb29PdasWWPWyKvVanlzpnEch969e+PEiRO4desWpk+fbpEZ0dbWFqNGjcLjx49LjGO3XCgu0Vu3vgULFiAlJUVvC9VqtXj16hVGjhxptOB3d3fH8OHDMWHCBIwZMwYdOnSAg4OD3nYsFostIokrC1K7dm1BPsTvIioqyqQfr4ODA9zc3CzamPn7+2PPnj2CD1qsBcF23He5E4TwHhQHxGIx1axZkwYNGkRNmjShx48f0/79+ykmJsagTT4+PvTbb79RmzZt9O3OycmhlJQU0mg0xBijN2/e0IMHD+j27dv6hCXPnj0rE7bMwmBjY0P379+nevXqCb5Gq9XSmjVraN68eVbjRbC3t6e9e/dSnz59DPgtSgRCNfz+/fu4d+8eLl++jKlTp5rFwFfSMmbMGLOmLF1S6mXLlpVYCHdRRCQSYd26dWaPUsnJyVbdC3h5eek94MzF+3FzOhEKi3JAaLVaXL9+nTecuizIpEmTLNp9q1QqfP755yWS062oMnHiRLOfMTc3F7169bJaGypVqoTjx48bRFoLgY78ZcKECWjRogVatGiBDz74AC1bthT8LBYpru7m27ZtK5Mj1MCBAy3OJPPs2TOLozDEYjGaN2+Obt26oXHjxsX6AQQEBBRq334fKSkpVo9Xc3d3R6dOnbBixQqcOnVKn0SmIGi1WkyZMoW3PqGwWHEBICcnB0FBQaWuqO+Lk5MTrl+/btEzKRQKjBgxgrfeVq1a4eDBg1ixYoXR8bKtrS1++OEHZGRkgLG36Qa++uori3LdChGJRIKzZ88Kfi6VSoWlS5cWa9yaSCRC586dERkZWWBbMjIy0Lp169JTXMYYDh48aHW/TmvIwIEDLcowzhjDqlWrjOoTi8UI/y97N2MMq1evNvi9b9++RqO8KVdFa8m4ceMEB6EeOnRI7wxf3DJ8+HAjd9N3kZqaihYtWpSe4gJvX/TOnTvRrFmzEiegKEhEIpHFRMtbt241smf6+voaOIZfvXrV4PdffvmF18a8cuXKYntGPz8/k3SlOqjVaoSFhZXoAY1UKsX58+dN9n1cXJxJd0qhsIri6phnTp8+jVWrVqFOnTqlrrg6ZbOEHO/IkSNGlEju7u548uSJvswff/xh8Pv27dt5X9TFixeLjYtBJBLh1KlTJp9DLpdj9erVcHd3L/G+79atGyIiIvDgwQPcv38fcXFxUCqVyM7OxqpVq0yu/4VCcMlHjx4hMjJSf0TIB50SJyQkoGXLlqWuuESE2bNnG7VXLpfjwoULWLNmDe7evWswrTHGsHbtWqPDCY7jsGXLFiiVSsTFxSE4ONjg9+nTpxv5FwBv9wHFSdnUp08foyNgxt5mcf/0009LnIvB1tYWtWrVQpUqVWBvbw+ZTAapVIoaNWqgb9++aNeuXYGnc0IhuKRYLIZMJkNgYCC+/vrrApMm65YPZcGsVKtWLcTFxRm0be3atZDJZOA4DnZ2dhg0aBAuXbqE2NhY3L171+TGwdnZGQMHDuQ9z69fvz6vJUOr1eKnn34yGHWrVKmCoKAgrFixAlu3bsWMGTNQq1Yti5RMLBZjzpw5iIuLQ0ZGBmJiYrBx40b4+/tb1P8cx6F69eoIDAxEvXr1BMeKOTk5YdSoUTh27BiSk5OxefNmi3gcrK647z9cu3btCmSLuXXrVokorkgkgru7e4Hr63dJoLVaLS+ZnlQqhZubW4H0pgVJ7dq18ebNG96+UKlUOHnyJDZt2oSff/4Z9+7dg1Kp1B9dazQavH79GsuXL7doo6vL/t6mTRu4urpafJQtEokwduxYJCUlQalUIj8/H//+978L9V/w9PTE0aNHDaJ7c3NzLaIcKFbF1T3kjz/+aHLZcPDgwWJX3KpVq2Lt2rW4f/8+9uzZY9KzaevWrfp2aTQa9OvXz+pt8fX1NclXBghzS9RoNNi0aVOpUS21atXKiP/LFMOlTuzt7REWFmb0XFqttsCkiqWmuERvUzWZ4t4aPXp0sXayk5OTQRpPxhiuXr3Ka/KZMmWKvl2MsULpS4tDcYUiNTW1VPYHHMdh9erVvJaR/v37m7yuS5cuvDONznm9uBS3SJ4RCQkJlJ2dzftbcdNcVq5cmYKCgvSBhBzHUbNmzcjZ2dmo7PttLI7gQ5FIJIhiszBUrlyZ/P39rdAi8yASiahjx45GfaNLymIK7du3JwcHB6O/cxxXrI43gr3DKlCBsoQS9kWrQAWsgwrFrUC5RIXiVqBcokJxK1AuUaG4FSiXqFDcCpRLVChuBcolKhS3AuUSFYpbgXKJ/wfcXAqK4IIg3gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 47\n",
      "\tJ = -7.3793e-01\n",
      "\tbeta = 47.00\n",
      "\tgrad_norm = 9.6975e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAARoBJREFUeJztfXd8FNX6/jtb0nslEAKhlwABDC0QkCZFQgdRQlWaCiigcCkqhHJR4SoiKKJiBGkCCmoo0psEQgglQEiAFEjvyWazO+f5/cHd/bHMbLIt7XvzfD7vR8meOWXmmTPnvOctHABQHepQyyCp7g7UoQ6moI64daiVqCNuHWol6ohbh1qJOuLWoVaijrh1qJWoI24daiXqiFuHWok64tahVsJg4nIcJ5CXX36ZCgsLK7N/NRKnT58WvR+GyODBg0mhUOit+/Hjx9SwYUOT66/tYijMmnHr1atH9vb25lRR62DuCbmrqytZW1vrrTsxMZHS0tLMauN/ASYT18rKikJDQ0ki+d9bbfA8b9J1crmchg4dqveePX36lJYuXUpqtdqc7v1PQGZoQblcrp3K69WrR++99x6NGTOm0jpWW8FxHFlZWZFEIiGe50mtVhNjjKytrWnBggU0evRo0esKCgronXfeoUuXLlVxj6sGEomEZLJndNPcE3NgMHH/+ecfkkgkZGNjQw4ODlSvXj2SSqVmNV4bwXEcOTo6kp2dHZWUlOj85uTkRO+++y5NnDiR5HI5qVQqOn36NMXFxdHw4cOpR48eZGNjI6gTAP3888905MgRs/smlUqpYcOG1K1bN2KM0dmzZ+np06dm1Wsu/Pz8aObMmTRy5EgiIjp06BBt376dEhISTK8UdTAapaWlePvttyGVSkFE4DgOgYGBOHjwIHieN6ouxhgOHz4MFxcXEJFJwnEc+vbti48//hg3btxASkoK1Go1VCoVrl27hhYtWphct7nSrFkzXL16FYwxnTHHxsaiTZs2gvKGoo64JqKoqAhHjhzBW2+9hZ07dyItLU3n4VQExhhUKhV+/vln1K9f3yzSzp8/HwUFBXrb+eqrryCRSKqctLa2tjh27JjeexAVFYV69erVEbciMMYEUl39ePjwIUaOHAl7e3uzyNGlSxdkZ2eX2969e/dgZWVV5cQdO3YsSktL9fZLrVYjPDxc56UyFP8zxGWM4fbt25g1axa6du2KYcOGISYmpsrJyxhDYmIigoKCjJpV9f32+uuvVziGhw8fwtHRsUpJ6+3tjaioqArvR0lJCRYsWAC5XF5HXDEcOXIEvr6+Oje3Q4cOSE9P13sNYwxPnjzBkydPLEZwnuexfPnyCh+8nZ0d5s2bh9OnT+PcuXP4z3/+I1irSiQSHDx4sMI2i4qKMGjQoColrTHr/dLSUpw5cwZr1641+D7WOOIyxvDgwQM8fPjQImTRzHDNmjUT3GArKyvs3btX9Lr09HS88847aNWqFVq1aoW3334b+fn5ZveH53lMnTq13Afv5eWFHTt26Dx4xhgSEhIwZ84ceHt7w8bGBpMnT9a7tn3xHqxdu9akda6joyO6deuG4OBgdOzYsdwlh4eHB8aMGYMrV65U+pesxhE3NzcXffr0wdChQ1FYWGh2ffn5+Rg9erTojXZzc8OVK1cE16jVaixbtkzwoN9//329D0ShUCAyMhITJkzAl19+ibS0NNFyjDFERkbCzs5OtE8+Pj7Yu3ev6GzFGAPP87h58ybOnj2LkpISgwmSlZWF4OBgo5YngwYNwoULF6BSqcAYQ0FBAU6ePInw8HB0794dQUFBCAoKQr9+/fDDDz8gJiYGarW6SpZfNY64SqUSmzdvxnfffQeVSlVhecYYMjIycP36dcTExCAzM1O78UpJSUFYWJjemSYoKAhKpVJQZ2FhIfz8/ATle/ToITrDKZVKLF26VLtO4zgOoaGhKCoqEu0zz/PYsmWLjjZBIpGgS5cuOH36dKU8eMYYoqOjRVVQYjJs2DBkZ2cL+vL8xpbn+Wrb7NY44hpzI3ieR2RkJIKCgiCVSiGXy9GpUyeMHj0ao0ePRqtWrcp9OF988YVoG4WFhYL1MBHhpZdeQk5OjqD8hQsX4ODgIFiGfP/996L1a8YWFxeHX375BT/++CN+/fVXpKenV+rDZ4whJiYGAQEB5d6Xli1bIjk5udL6YQnUOOIagwcPHqBp06YmbyK+/fZbUaKUlZXhrbfeEpQPCwsTnYEmTZokWn9AQAASEhLKJWNVz1aMMURFRaFRo0Z678vKlSurTVVoKGotcdVqNRYsWGAyaYkIffv21fs5vH37Njp37gy5XA6ZTIaQkBAkJSUJ+lFWVoZhw4bpbSMoKAj//PMP8vPzawwZGGM4f/686FfF09MTd+7cqe4uVohaS9yMjAz4+/ubRVyO4zBq1Ci95M3NzcXPP/+Mn376CVlZWaLEU6lUCA0NLbcdGxsb9OvXD3PnzsXVq1dRVlZWVbdJLxhjOHv2LJo2barVE9vZ2eHrr782+ti6OlBriXvgwAGLnAZpyKtvI1URGGOYP3++we05ODhg48aNNYIcGlXhpk2bsH79ehw8eLDCDTFjDHl5eXj48CEePXqEwsLCavmS1EriKpVKTJ482WzSasTOzg6HDh0yuT+pqalGqZqaNGmCR48emX0fLLU+NqaehIQE9OjRAw4ODnB0dMSrr76K1NTUKidvrSTu48ePzbKmEvuU79mzx+T+aFRv06dP16uffV6kUimio6PNau/GjRtYuXIlli9fbtBMaQmo1WpMmzZN8MUaNmyYqJqwMjeetZK4kZGRFjMa4TgOI0eOtMhhR2lpKfbt24fOnTuX22ZAQACePn1qUhsak8AmTZrofDE2b95c6dqL4uJi0aNja2trREREaJc/msOKHTt2YM2aNfjpp5+gUChMblcMtZK4u3bt0ir7KxKJRAJ7e3u0a9cOnTt3hpubG+zs7GBvb4/27dtjxYoVyMnJsdiswBhDcnIyBg0aBJlMJuiPTCbDZ599ZnJ7jDF88cUXgnpbtGghqvUAnp3qHT58GBs2bMC5c+egVqtNapvneUyZMkX0Pru6uuLf//43jh49ik2bNiEwMFD7jKysrLB27VqLzry1krgPHjwwaKlga2uLefPm4f79+8jKykJ2djZSUlKQlJSEpKQkvZoCSyA7Oxtr166Fq6srJBIJOI6DjY0Nli1bhpKSEpPr5Xkeq1evFh2v2Kybk5ODiRMnas0nvby88Ndff+kdN8/zKC0tRWlpqegGMjo6Gj4+PnonCQcHB9GTypCQEItuSGslcVUqFb788ku9tqwcx6Fp06b47bffyrUHrWyo1WrEx8fj008/xcKFC3HlyhXRI2ZjwBjDli1bRMfdrl07rSWb5nM9Y8YMAZF69uwpujRSq9X49ttv0a5dO7Ru3RrffPMNysrKdEiuVqsREREBNzc3o5Zkr7zySt2MCzwj7+XLlzF16lR06NABVlZWkMlkaNWqFd5//33Ex8fXGIW/pfHo0SM0aNBAlCBDhw7FqVOncPr0aUyYMEF0L+Dq6orMzEydOhljOH36tI7dro2NDbZu3Sq4jyqVCtu2bYOtra1BpPXy8sLZs2friPs8GGNIT0/H7du3cevWLYvaztZUqNVq/Otf/9JLFEdHx3INx93c3JCVlaVTJ2MMO3fuFJTt3r276Ce+rKwMH374YYWmkr6+vjhx4oTF9da1nrj/q7h+/To8PDyM+lxrZMiQISguLtapjzGGvXv3CrwtunTponczl5SUpPf0UnOwU1leJv/zxNWY5yUnJyMqKkq7YatOn7QX+8cYQ0lJiXa9qfm3Kd67Hh4e+Pvvv0XHlpmZiQEDBuiQb8GCBeVu5L744guBhsfb2xvLly+3iIpRHwyOq/B/EQDo2rVrFB4eTrdv36asrCzy9fUlb29vmjhxIvn7+5O3tzf5+PiQnZ0dyWQyo+JbmQu1Wk1nzpyhNWvWUEFBAUmlUvL19aXJkyeTi4tLuTHIXoRMJqNu3brRxx9/TL179xYdh7u7O0VERNCXX35JUVFRNHLkSHr99df1jlkikdCsWbNIqVTSH3/8QUREbdu2pVmzZlHbtm0rNcoRB/xvposCQGfOnKGJEydSamqqaBmpVEpeXl5Ur149srOzI7lcTq1ataKJEydSp06dyMbGxiQiA6CioiKytrYmKysrvWX++usvmjRpEmVnZ+v8JpPJyMvLizIzM0mlUlXYXocOHWjx4sU0ePBgcnZ2Nrq/FQGANjKNRCKpkpe71hMXABUWFtL9+/eJMUb+/v7k6elZ4TUXL16k8ePH6yVtebCxsaGQkBCaNWsWNWrUiABQcXExnTx5kgoKCmjMmDEUFBREcrlc0G5mZiYtWbKE7ty5Q7a2tvTWW2/R8OHDyc7OTqfskydPqE+fPhQfHy/aBx8fH/L396eoqKhyydu7d2+KiIggX1/fKv1aVDoqbRFSBVAoFDh48CBCQkIgk8nAcRy6deuGxMTEcq+7ePGiqC2qKWJtbS1QOVlbWyM8PFygQ87KysIrr7yiU9bKygpTp05FXl6edi2pUCjw3nvv6XVL9/DwwO+//47s7GwsXLhQ9ISOiNCtWzckJyfXiLW6pVGriKuxkb1z5w5+++03DB06VLAx4DgOixcv1vuw7t27Z7YdryGiOebUmP3l5ubirbfe0kvG3r1749dff8WlS5cwffp0bXinF8XV1RXff/+91ikxNzcXAwcOFJRr164d7t+/r/c+MMbw9OlTrF27Fm+88QZ27dqFR48e1RqS13jiak6fPvnkE4wfPx7BwcGws7MrV3/4xhtviD4AnucxZ86cSietRmQyGQYMGIBp06ahd+/eesmoEYlEondcEokErVq1wuHDh3UswRhjSEpKwoABA2BnZwdra2v06NGjQjVUZmYmQkJCtC8Sx3Hw8/PDunXrLG4QUxmoUuJqPHKjo6Nx4sQJ3LlzB6mpqXr1hDk5Ofjoo49Qr169cqO5vCgTJ04UfWjJycnVGgDOVGnQoAH+85//6LWtYIxBoVDgzz//xMGDB3WWHfqew5YtW0SXGFKpFKtXr67ymZcxZpTxT5URV3Ok2KlTJ+3xrJWVFfz8/DB9+nScPHkSSUlJyMjIQEpKCo4ePYrg4GCjCKuZOT7++GPRPjx+/Fg0MEhNlmbNmuHKlSsWPXlijGHlypV622zXrl25EX4sCbVajdjYWLz77ruYPHmywddVGXGzsrLQqVMnvTfLysoKzs7OaNOmDTw9PU22t5XL5YiJiRHtg2apUB2RC00RJycnnDhxwuKzH2MMq1at0tuus7Mzbty4YXYbFfWbMYb9+/fD29tb27ahMPgAYvHixRQYGEiDBw8mJycno1UrBQUFFBcXp/f3srIyKisro/z8fKPqFYOtra3o3yUSCa1YsYJcXFxox44dVFZWRkSk1auWlpaKXmdlZUUBAQE0YsQIKioqol9++YWSk5P1tq9JxMHMjLrdo0cPCg4OrhQ1lo+Pjzb49Ivo0KEDNWnSxKR6Nfdyy5YtlJmZST179qQhQ4YIVINERFlZWbR69WpKT083qSGDQP+dFfv37683vFB5SEpKsoi7TUUG5HK5HPfu3Su3LyqVCrm5ucjNzUVOTg4yMzNx4MABhIWFwc3NTbs8kUgk8PX1xVdffaVdN6rVaty+fRvt2rUTtC2RSBASEoJ169bhs88+Q9++ffUudSQSCdzc3NCgQQM4OzsLyjk5OeHPP/+sNK+G/Px8jBw5UtCug4MDfv75Z5NnebVajXnz5mm/ara2tlizZo2oa9GtW7cEz9NQGEVcomdryOXLlxvcgAZlZWVYtGiRyZ9pX19fLF26FNu2bcPChQvh7OxsMnHFwBhDaWkp4uLisGrVKixZsgTr1q3D48ePRTcNcXFxaNu2rbZda2trTJ06VetNobFa69Onj6CPMpkM8+fPx6NHj5CdnY179+7hww8/RIMGDeDo6AgfHx+sXbtWr+2uZjO2c+dOrFq1CuvWrUNcXJxRfmeMMWRnZ+Ojjz5CixYt4O7ujtDQUPz2229m+a+VlpaiefPmOuN1dHTEhQsXBC/DxYsXBRtEQ2E0cYkIs2bNMnwkzyEjIwNDhgwxasMlkUjQv39/REVFaQeuMWYWc0yUy+W4ffu2Sf3TwJCZjDGG+/fvY/HixZg3bx727t2L4uJinWsYYzh58qTOGk4mk2Hp0qUCLwiVSoX09HQkJycjLS2tXPIolUrMnTsX1tbW2nrd3d2xdu1aowLhAc/W/VlZWUhLSxP03xSUlpaKboBHjx4tqLtKZ1wbGxvs37/f8JG8gKSkJMEbKZVKERAQgBkzZmDq1Kno3LkzPDw80KtXL6xZs0ZUvaNSqfD2229XCnGNQUUk53kely5dwrx58zBz5kxs3brVLD0pYwzHjx8XtbeVy+X4+OOPTfYpswTKysrQu3dvQd/atm0r0FQ8ffoULVu2rFziyuVyNG3aFF9//bVZkVhUKhXeffddnaXHe++9h7S0NPA8D5VKhaysLCQlJSE3N7fcGSAxMVHH21XzyTZlqVDZ0JhPWiIGwubNm/V+oRwcHHDx4sVqOwHT1z9ra2ucP39eUHbLli2wsbExmrgGaxVu3bqlTRNljrmaQqGg6Oho7b/lcjlNnz6dvL29iejZzt/d3Z3c3d0rrKtRo0a0YsUKmjNnjjZ1U//+/al+/fom96+yYGzKz4rq0oeioqJqTQ/FcRx5e3sLNBZqtVqgweA4jqZPn04eHh60b98+unv3rsHtGEzcFi1aGFypPgCgy5cv6xCXMUbx8fHUpk0box+sRCKhiRMnkoODA+3bt48cHR1p0aJF5ODgYHZfayo4jqOOHTuSq6sr5ebmipZBNRv8NW/enFxdXSkjI0P7N6lUKpoXTy6X0+jRo2nEiBGUk5NjeCOW/ERUtKFRKpWiITlHjx5tljduTfJYqAqoVCrMmjVLdJPr6OhY7UuFY8eOCTywbW1tcfHiRYu1Y7aJOgBKSUmhr776ikaPHk3ffPMNJScni771eXl5dOLECcHfjx8/TikpKSb3wZTs27UZMpmMVq5cSRMmTNBJaM1xHI0fP546d+5cbfcCAF24cIGKi4t1/i62VDC3IZPB2LNEI126dNF5uzp06IBr164J3vq8vDx07dpVVK8ZFxdnUvtKpbJaIgZqrLLOnj2LS5cuWTT+raFfj5KSEhw7dgzjx4/HoEGDsGPHjmqNw8vYs6DRz6v/npfjx49brG9mEZfnebzxxhuinRwyZIhALcMYw3/+8x+BeZ+3tzcePnxoVNsZGRlYvnw5evTogZdeegkffPCByaFCjcU///yDcePGoVmzZrCysoKdnR26detWboQYQ5Cbm4vly5ejd+/e6NevH7777rsaEUvXEGj02oGBgXo1Hp9//nnNIK5arRY9+iQiNG/eXBB0AngWOO3dd9/VGtFoYk4Zo3ssKCjA+PHjddZ4EokEq1atqlQdJmMMd+7cQcOGDUXHPHjwYJMj1eTl5WH8+PECFdKGDRtMHpPmi3jmzBmcO3fO6LStxiAzMxPdunUr9zCpffv2FWbBNBRmz7gTJ04U7WRAQIDoDKj5vJ84cQK///47/vnnH6OPGPfu3Stqs9CoUSM8efLEnCGVC8YY9uzZo/fBLFu2zCSSMcawePFi0TobNGiA3Nxck+o8deqUNtcDx3Ho3r27aP44nucRFxeHq1evIi8vz6S29Nn3vigzZ840KDdbRTCYuDdu3EB8fLzA+v7x48cCu1lbW1t89dVXlWYg8vwBxvNiY2NTob+ZOWCM4dChQ6Jtd+jQocJEJfqQnp6u98vl4eFhUhDolJQU0axDffv21SEOz/PYsWMH3N3dIZFIMHToUDx48MCotoqLixESElIhaYmenZKOGTMGd+7cMWv2N5i4EokEXl5eePPNN3XWo4wxpKWl4eeff8akSZMwY8YM/Pnnn5WaqO2XX34RnXF9fX2RmppaKW0C/3+sffv21a7T5XI5unfvjnv37ukdr0KhwL1793D37l1Rtd/Fixf1uvV4eXmZZNR97do1UYMmKysrbNiwAaWlpVCpVIiIiBAcHw8cOBA3btxASUkJnj59iri4OMTHx+tdBj18+BDu7u4GEVcjnp6e+OGHH0xWg5pkHTZ16lSdQWhmTrVaXSWZBXNyctCvXz+dGyGRSLBs2bJKz63AGENmZiZ27dqF7du3Y9++feW6ymRmZmLy5Mmwt7eHra0tli9fLnhY58+f12t41KxZM5M+rfHx8ahXr55ondbW1hg1ahTGjx8vyM/2/Avz6quvok2bNrCysoKrqytmzJghcB/ieR4rV640yerPzs4O33zzjUnPzCTrMBcXF6O1AJYEY8+S240bNw5+fn7w9/fHggULLJJr15g+VLTUUavV+OSTT3QeqpWVFa5du6ZTLioqSm/kw6VLl5q0bjaHUPqE4ziMGDFCa0PC2LP8wmJZOA0Vd3d3XL582ejJziTienl54fHjx0bfTEuCMYaysjIUFRWhuLi4SnIgGIu8vDzBQ+U4TpAlXJ8Tp6urK/755x+Tv2BZWVkYPHiwxYir+bLNnz8fJSUlSEpKErUEM1aGDRtm9AbUZHtcSxDFUhZTNRW5ubnw9PQUPKiwsDCdcvo2Z8OGDTM7MHVKSgo6dOhgUfK6uLjgo48+Qvfu3UWXOE5OTujduzfat29vkKZBKpVi3LhxuHnzpsHjMironUwmo5CQEFq+fDnJZKbHywNAycnJ9NNPP1FeXh7Z29tTWFgYNWnSpFIDpVU1OI4ThFYiIlIqlTr/TklJocTERMG1Q4YM0RtbzFDUr1+fOnfuTDdu3DCrnufh7u5OiYmJdO3aNcHRftOmTWnbtm3UtWtXUqlUtGjRItq2bVu59fE8T/v27aM///yTCgsLDeuEoQxfunQptm7dKpqF0VgkJCSgQ4cOOm9r48aN8fvvv/+fmn1VKhXeeecdwQwTGhqqXbdqdKAvlvH09ERsbKygTsYYVCoVioqKDNrUlJSUYMSIERabbTt37oyrV68iNTVVcNQvk8mwfft2new7v//+u1H1GwqDS1ryHH7VqlWin5jAwECT0yhZGpawNmOMYd26dYJxurm54ezZs1AoFLh9+7bo+tbf3180+HJmZiaWLl2Knj17YsWKFaKxwTQ+aXfv3sU777yj4+Jjjvj6+mpdqBhjWLJkic7v3t7eSElJ0elHRcS1srKCo6Mj2rVrh9dee83ge1vlIZh4nseiRYtEByGRSMxKXGep/sXGxmLz5s346aef9H5h1Go1SkpKUFJSApVKpTfCzL///W/RsXp7e+Pll1/Wq7Jq2rSpwMVHqVRi+vTpOpqCgIAAREREoLCwECUlJcjIyMCPP/6I/v37mxyxXEykUim2b9+uM84TJ07oaEMmTZqkY1vBGMP777+vt74hQ4bgwIEDSE5ORlZWllEuTVVOXMYYIiIidNw1NOLn51epJ1+G9O348eNo2LAhOI6DTCZDYGAg9u/fr02fpFKpcO/ePSxduhTNmzeHv78/pk2bhj/++ANKpVLnwapUKsydO9ckorzxxhuCDXB2drYo0W1sbNCoUSM0adIEDRo0MGhDZKx0795dEGE8JSUFTk5O2jLvvfeeQMcbFBQkOkHNnj0bBQUFJn/VqiXonUKhwIYNG+Dj4wOZTAaZTIbWrVvj4MGD1ZacmTGGW7duieok7e3t0bNnT6xfvx6vvfaaKHns7e0xdOhQREZGQqFQQKlU4uTJk6JahYrExsYGBw8eFDzUpKQki86ihoq7u7toRJ2srCytz5+dnR3OnTun8zvP86JZNnv27Gm2zr3aojXyPI+HDx/i9u3buH37tt5sOZpZrqITOc26i+d5qNVqo9VsJSUlCAsLMzpWmRiBW7VqhbZt2xqdC4zomZ539OjRgvUt8Ey9pi85niWE4zhIpVJtQkGJRAJvb2/s27dPdEJRq9XYsWMH+vbtizVr1ghUdzzPC5Jz29nZWWQTXqMjkmdlZdFHH31E58+fJx8fH9q4cSO1atVKYN0PgNLT0+nkyZN06NAhysjIoMDAQOrWrRu5urpSYGCg1vkSgDbcu6YepVJJ69evp/DwcMta6ZcDe3t7Cg4OJnt7ewJAarWaJBIJ9enTh6ZMmUIuLi6CcarVavrggw9o48aNFu+Pj48Pbdiwgdq0aUM8z1N6ejpZW1tTw4YNqWnTpno9KvDfaOy2trYCnzIA9Pvvv9OkSZOooKCAOI6jiRMn0rZt23Q8N0yCWbSvRDDGMH36dJ23tUOHDkhMTBQE3bh9+zY6d+6s16ikefPm6NixIzp16qT9b3BwMD744AN89tln6NWrl8WSWhsibdq0wbFjx7QzlMbOw5CvREpKimAWq0isra0rjM07a9asSlmmqVQq/Pnnnxg3bpxOKCtzUS3ENeScPzY2VnQ9N2vWLJ2z+6KiIoHBTU0VjuMwfvx4JCQkmHXvkpOTDTIjdHR0xObNm3H16lWcPHkSvXv3Fl0KyWQyREZGmtyn6kCVE7esrAxXrlzBiRMncObMGb3uNn///bfow3B3d8f169cBPHuIO3bsqNLZ0hzSTps2zSRD7RfBGENqaip69eqltz17e3vs2LFDZ3KIj48X1RnL5XKTfP6qE1VKXKVSiY8//ljruiyVShEaGipqaXby5Em9G6V169aB53mtXrO6SWmImGJIUh4YY7h58ybq168v2t7bb78t6vP3448/Cl50X19fJCUlWaxvVYEqJe6VK1cE/vYcx2HmzJkCI+WEhASt28mLMnfuXKhUKigUCkyYMKHaSVmRNGrUCLGxsUat7TRHu4WFhSgsLIRSqRSsgXmex8KFCwVr+379+uk1Pi8tLcWCBQu0ul5bW1usX7++Wryk4+PjcfjwYZw8eRJRUVFGBZM22FImNjaW3NzcqH79+iYbwuzfv1/gbw+Adu3aRQsXLqRmzZpp/+7v70+NGzemx48fC+pp2bKlNjJKYGAg7dmzx+wgypUBjuOoefPm9P3331NAQIBBsQ4A0IMHD+jrr7+m+/fvU1FRERE9C1ZtZWVFcrmc2rVrR/369aP69etTWFgYpaam0p07d0gikdCIESNo1qxZenO9WVlZ0erVq6lPnz709OlTatSoEYWEhFR5HIYHDx7QgAEDtM9XIpGQra2tdrwVwmCGy2Ro1qwZxo0bhyNHjiAzM9PoGWT+/PmiM5JEIsF3330nuGbo0KGCsl5eXoiLi9O2nZCQAFdX12qfVYmeaQu+/fZb/PLLL4iIiMDevXuNTsGUmJiI1q1bV9iWRCKBn58fdu7cCaVSibKyMqO8T6o7+s/GjRtFl4KGwiR7XKlUis6dO+Pzzz/XG/j4RZRHXKJncRiejxnLGMOQIUME5Vq3bq2j6C4uLtZJnFxdwnEctmzZokMIY0mhMVwx5hBkwoQJ1XbaaA72798vqr40FCZ983mep2vXrtGiRYsoODiYZsyYQadPn6aMjIxyA67xPK/3t6NHj9Lnn39OCoWCANCNGzfo9u3bgnIv2uza2tpSr169TBmGUXBzc6NBgwZRQECAqI0snk0CRGR6SKiCggI6d+6cUUHrVCpVrQw91bFjxwpT15YLQxlOFbz5VlZWaN26NVatWoWUlBTBbJObm1uh4lwmk2HUqFGYM2eO3rRO3bp1E2zkNm7cWKmZdBwcHPDbb79pwz2tWrVK1JBlyJAh5QYEYexZuP7U1FQ8fvxYEHn82rVren3PxEQikVg0OkxVgud50a+LobAYcZ+/mf7+/ti4cSPS09NRWlqK/Px8bN68ucLEI4ZI48aNBbrQW7dumWQXoHlZKiozatQoHXO9/Px89OzZU1DOw8ND1Pgb+P/pXN955x24u7vD3t4efn5++Ne//oUHDx4gPT0d8+bNM7jf1tbWGDFihGi0oNqCJ0+eCNyKDIXFiasRqVSK+vXrIywsDMHBwRY7JJDL5di5c6fOLFNaWoq33noL9vb2kMlkcHZ2RsOGDTFhwgT06NFDLzkbNGiATz/9FK+++qremU4qlSIiIkJwP3bt2iVaPjw8XHTNqVAoMHnyZMEMI5FI4OnpiWbNmhn8YtvZ2WHTpk0CM8PaBsYYdu/ereMibygqjbiVKSNGjNDZoDHGtJELt27diri4OOTk5Ghn+2nTponW8+6776KsrAyFhYXYu3cv+vTpAwcHBy25ZDIZ+vfvLxrvKjo6WqCTJiI0adJEMAtqIuCIJVsxRcLCwoyKUabxiNCkx8rJyUFBQUGN2NSp1Wr8+OOP8Pb2hrW1tcHX1UriGuO2zRjD4cOHBXVwHKdzJMoYQ0FBAaKiorBixQp88MEH2LJlC7KyskTrLSoqEl2zawKTPL+0KCwsRP/+/S02/jlz5hg09tLSUhw/fhzh4eEYPnw4GjRoAE9PT3h6eiIgIAAbN27UpreqTqjVaqSkpBiVFKdWEpeIsGTJEoPVcOvXrxdc7+npqbV5ELumoofJGMOgQYNE++bm5oZt27YhPz8fubm5mDdvnkW9EgIDAysM7peXl4fZs2frjVRD9GwZNHToUKSmplY7eY1FrSVu48aNK4ypxRhDSkoK2rRpI7i+ZcuWglxjxoAxVm6wDRsbG/j5+cHPz8/irjQcx2HcuHF6QzMx9izzjaHt9unTB/fv369V5DWYuBXZc1a1SKVSvP/++ygtLdX53Gu8IFQqFRISEjB8+HBRhX6rVq3MCpqsVCrRt2/fahu/XC7XHni8iNzcXNHI7+VJRYH7ahoM9oC4cOEC7dixg3bu3KlNzVTdsLGxoenTp1O/fv2IiKi0tJSUSiWlpqbS33//Tffv36fU1FTRa1u2bEkxMTFkY2NTbhsv3h6O4wgAXb16lfr3708FBQWWGYwJcHd3p1OnTlG7du10/n716lXq0aOH0d4cISEhtHPnTmrQoEHNP9QwhuUqlQobN26scfavGodLY65xdHQUdQDUQDNzX7t2DXv27MGuXbuwf/9+HD16FIcOHbJIzCxLyPjx4wX+aZcuXTK5vkGDBtUK3bDRZo05OTnw9/ev9gdmCRkzZozApVwDlUqFdevWCbx0bWxsKsX921QR8wi+ePGiWXWOHTu2xuuIjSauWq3GwoULq/2BWUKsra3x+eefixpc64v9UBOle/fuyMnJ0fbfnBmX6NkXLCIiokavd40mrr5YV7VVHB0dsWPHDh3yJiUloW3bttXeN2Pk+Y2aucQlIvTo0aPKshiZApNCLpa3cG/RogW9+uqr5OLiQmfPnqXi4mJSq9UklUpJJpORlZUVlZaW0vXr10mhUOhc6+rqqk2NevPmTcrPzzele0ahsLCQ5s+fT5mZmTR8+HBSKBS0evVqiouLq/S2DQXHcVoX8YSEBFGj+ZUrV1L79u2pe/fu9OTJE7PbjI6Opps3b1K3bt3MrqtSYAzLGWMoLi7WG1bI09NTe6L1vGpKoVBo42sx9izrzooVK3TWiu7u7jhy5IjWGHrv3r1wdnaushmL4zg0bNgQXl5e1T57Pi9WVlZYunQpkpOTkZKSgvDwcNGjZqJngfLCwsIstgc5duxYjV0uGEzc0NBQhIaGom/fvnrXfm3atDEo2qLGxfr5jc9rr72mc3bOGMPLL79c7cSpCpFKpWjWrBnatm2rk0hELpdj+fLlKCsr0770arUa69evrxLNzgcffGAycTX2I3FxcTh16hTWrl2Lv/76SzRCjymw6MmZRCLBkiVLUFRUVOGA4+PjdTK1jB07VpCKqrbESzBHHBwcsGHDBqSlpaG4uBinT5/GRx99hAEDBuDbb78V1XqUlZVh1qxZld63zp07GxzjizGGvLw8REVFYfHixRg7diwGDhwIFxcX7QGQlZVVhWnEDIXFj3xlMhkmTJiAu3fvlqsj3bJli85pnKenJ86dO6ddKly5cgUNGjSodmJVJNbW1ggNDcXnn3+OAQMG6EQvrEikUik2bdok+NJo4p/ps5nQeMg2b968UscmkUgwd+5cpKenl2u/oVQq8ccff6Bv374VmmZ27drVIlZplWar4Ovrq1fBr1Kp8N577wmu8fHxQVhYGKZPn66NAliTRS6XY9WqVdpZUalU4ujRo+jXr59BBB44cKDJAUIYY/juu+8sYpxfEXk7dOiAyZMnY9q0aVixYgWio6ORkJCAhIQEXLlyBZMmTTLYZLNz584WSVtr8JGvKUeAfn5+dODAAerUqZPO9ampqdSlSxeL7H6fh6urK82cOZPq169Pv//+O509e5bKysos2oYGHMfRsGHDaOfOnWRvb68dHwBSKpV0+fJlunv3LjHGtL+VlZXR4cOHKT4+npo3b07fffcdNWrUyOTj1dLSUhowYACdP3/eYuOqCBzHkVwu1/rUMcaMuscdOnSgS5cuka2trc7fNfetoiN4bT8qk7hERD169KDNmzdT+/btieM4KiwspBUrVtCmTZssGgvB1dWVfvjhB3r11VdJIpGQQqGgPXv20LZt2ygpKYlsbW3Jzs6OsrOzKSsrS5BA5EU4OztT69atKTQ0lGxtbQkA5ebm0h9//EH5+fk0cuRImjt3Lvn6+pYbyZDo/9s3ED0jb1lZGcnlcrK2tjbLJgAAHT16lMaMGSOIVyGXy2nIkCEUEhJCEomE1Go1RUdH0+nTpyk9Pb3a4lC4urpSZGQkBQUF6bzsx48fp+3bt9OePXsMq8jQqZnM+Nz4+Pjg/fffx5IlSzB06FCL74gdHR0REREhWDtp1Hf5+fkoKChAUVERcnNzERERgcDAQFEHSw8PD8yfPx9XrlxBcXGxjuUZz/MoKipCQUGB3vD5VY2ysjIsXLhQZ78gl8uxZMkSbf81UlpaiqdPn2LJkiVwcXHRez+dnZ3h4eFRri2vObJ06VKde6dQKLSZ4w1FrbDHtbe3R3BwMJYtW4YVK1Zg/Pjx8PT0hIuLC/z8/LBjxw6jXVlSU1Px8ccfw9/fHy4uLvDx8cH8+fNx69atGpPsj+d5xMTEYNWqVfj000+RkpIi+nIWFRVhyZIl8PLygq+vrzbIsr4XS6VS4eDBg4JomHZ2dnj77bcRGxuL7OxsnD9/HuPHj7dY8hONNGzYUMf+V61WY8OGDfDw8DD43tRI4spkMjg4OKBVq1ZYsGABLl68qM0XoPGfysjIQHp6OrKyskzeparVamRnZyM9PR2ZmZk1hrAanD17VhuBXCKRoHHjxjh06JAoecvKypCRkYGsrCyDvgY8z+PYsWMYNGgQ3NzcMHjwYBw5ckRgo6xQKLB7924EBQVZdCP4008/CRxejUkgXqOIK5FI0KVLF2zduhVJSUlaUtaET7IloUkjcP/+fb0vC2NMNEeal5cXrl69apF7opmtnz59Wq7uXeNav2PHDrz88ssWMT7S5w1tKGoUcV955RW9uSD+r4AxhrNnz6JJkybw8vLCunXrRA8ZeJ7XG0J1zJgxFjuBMrbv+fn5OH/+PMaNG2fWXuWHH34w6znXGOJKJBKcOXPG5IHUFqjVap1gftbW1ti0aZPgITLG8OGHH4q6Hdnb2+PBgwfVNIJnKCkpwaeffmrS8sHT0xPXrl0zi7g1KnGuo6NjdXehSpCUlKT9f6VSSV9//TVlZGTolOE4jmbOnElt27YVXK9SqXRy3uK/yU8uXLhA+/bto8ePHxNjzKgYZMbC1taWpk2bRgEBAUZdJ5VKaerUqRQYGGiee5ChDDc3jZIh8s4771R4qmJONMTnr+d5Xrt+FpvtKiqjr+6EhAQcPHgQd+7cEV3D8TyPMWPGCL42x44dE60vLi4OISEhWnUXx3Fo27at1j2dMYa0tDSMHj0azs7OkEgkaNiwIebMmWN0iFNjwfM8Pvzww3KfqSbtlFQqRYsWLbBmzRq93snGwOADiMuXL9Phw4dp3759FB8fb/qbUg6cnJzohx9+oJEjR4q+jQAoJiaGIiMjied56tWrFwUHB5NUKtUprxnSnTt3KDExUZsiCgCpVCo6ceIEXblyhYiIgoODqW/fvtS0aVNq2rQp5ebmUmxsLCUnJ9Ovv/5KxcXFNHLkSBo2bBg1a9as3MOGY8eO0ezZs+nx48fk4+ND06dPp6VLl+pEdwRAp0+fphEjRmgdLTmOo8jISBo4cKBo3bm5uXTnzh06duwYNWrUiPr3708NGzbUHmz88MMP9Oabbwpm2JYtW9KSJUto4sSJ2hRZlsbOnTtp2rRpgtOzTp060ZQpUyg4OFh7yubp6Un169e3TD+MYblmRnn55ZcrbQb28PDQG6jj+vXrOgnqHBwcsHz5ch0dLmMMOTk5WLp0qU4GyPL6y3Ec6tWrh8DAQDRr1kzUp6xJkyY4c+aM3hksNTVVYF/h6OiICxcuCMryPI/Nmzdr7Rk6dOiAtLQ0Yx6FznjXrl2rd2w2NjZYvHixNlm1pWfgnJwcneyRLi4uWLRoETIyMizazoswKQfE06dPK9XLderUqaI3eM6cOYKyL2YqVKvV+Ne//lUpcSAGDBig14nw3r17ohuVpUuXipZXq9X4559/sGXLFly/ft0su9cjR45U6MDZokULfPTRRzh+/Dj+/vtv/P333zh58iRu3rxplv5aM5nNmzcPc+fORVRUVJXow00iLmMMv/32m8VPVJ4niJiS/bXXXhMt/9JLL2mznB8+fFivh4C5IpfL8c8//4jek/j4eEG7VlZWopEeLY28vDx069bNpDF5enrilVdewaVLl2qVGtIkrQLHcdSsWTNycXEx5fIKgeeiexuCGzdu0KFDh6igoIA+++wzgcGJpaBSqai0tFT0twYNGtBrr72mXb9JJBIaO3YsjRw5slL68jycnJxozpw5Jq0dMzMz6ejRozR9+nRKS0urhN7pBwDKy8ujq1ev0pEjR2jZsmUGX2uSsyQAun79OmVnZ5tyeYUQC0OvVqv1kkalUtHly5epcePGFBsbWyl9qgg2Nja0fv16atSoEV2+fJnGjBlDo0aNIjs7u0pvm+M46t27N/n7+1NiYqJJdWhMFSsTSqWS4uPj6eHDh3TgwAHKysqizMxMio6O1kbdCQ8PN6guo4kLgDIyMuibb74htVpt7OUGIS0tjbKyssjLy0v7t8ePH9PFixdFy8vlcurYsSO5u7uTTCY+JDs7O5o2bRr17t2b0tLS6Mcff6QHDx5Qfn4+SSQSbbLlMWPGkEqloj179tCDBw909Ktt2rShhg0bitbPcRy5urrSsmXLCICWBFUVysja2tqkxM4cx1GnTp1ow4YN5O3tXQk9I2KM0fnz52nDhg30999/U3Fxsfk6ZkPXFBpDjtjYWIvGehUTjuPw1VdfaY9Ci4uLy83Y4+/vjydPnqCwsFCv50R4eLiOO4xSqcS5c+ewa9cu7Nu3D0lJSTq/q1QqxMbG4qeffsLatWvxzTff4NatWzqbwKSkJMTFxWl37JaGofpqxhh27dpl0oZ04MCBlXrMzvM89u7dK5qXWUwMhcElp0yZgnHjxhnlU2WOODk5Ydy4cZg1axaGDBlSbnKShQsXQq1WQ6FQICAgQPC7i4sLoqOjjb7pzx9EPE8ghUKBlStXomHDhpDL5fD398cvv/xisQjfjDHcunULM2bMwJQpU/DNN99oN59iZe/du2eSq5O1tTXOnj1rEmk1L25iYqJOdPgX+3bq1ClBGKsqJW5VkNUUcXBwwIULF7TmjmIRaHr27Kn35hoLxhjOnz8v0KhorLYsgQcPHqBly5bauqVSqd40p0qlEm+88YZJ987e3h7JyclG90+lUmHTpk3w8vKCo6MjJk2aJPjqMMaQnZ2Nl156yag+GQqziOvi4lKlQTvEZPjw4VpLKYVCIZpmqm/fvhb7FDLGsG/fPtG+bNu2zex2GGNYsGCBoG6JRIK1a9cK6j9//rzJz8Da2hp///23UX3WzKIvqv66deuGCxcuQKFQgOd5pKamiiZrsRRxTTayefnll+nkyZMUGRlJ7du3N7Uas+Dl5UULFy7UcbwTyzNsyqalPOjblJbnx6VWqykxMZFOnz5NOTk5ejcnPM+L5i9mjFFSUpIgyWFZWZlof5ycnKhdu3Y0fPhw8vHxEd0kKpVK+te//kXJyckGb5YKCwtp3bp1ApXj5cuX6ZVXXqGpU6fSe++9Rz179qSIiIjKM/QxlOH0wifm9u3b2nXf3r17DXqbbGxsMHDgQHz88cf45JNPsHz5cgwcOBAeHh5GH2Y4OTnht99+01lXqlQqQYYdiUSC77//3uA3uSIwxnD8+HGjZlye5/HLL7+gXr16sLOzQ1BQEB4/fixaf1JSEho3bixa/6JFiwT1K5VKzJs3D05OTnBwcICHhwdmzJiBq1evoqCgAAqFAklJSXjllVf03suXXnoJe/fuRX5+vs56/kUpKSnBpk2bKtUl3lCYRNymTZvqWCf9+uuvFXbIw8MDe/bsQWFhoc7NKCoqQkZGBvbt24dOnToZ/GmZOXOmwM9Ms/7U2CjI5XKMGzcOubm5Bt8QQ3DmzBlBPzmOww8//CAoyxhDTEwM6tevr1N+wYIFoiS/du2aqHbA2dkZJ06cEK2/tLQUd+/exeXLl5GRkaEN2fQ84uLiyo19YGNjg8DAQCxbtgzh4eEIDw/HqlWrtP8fHh6OUaNGVdppaZUQ19bWFufPn4darUZ+fj5CQ0PL7YydnR127dpV7q6bsWfxxAxJKO3s7IyzZ8+K1sPzPM6ePYtFixbh22+/FYQQ0rwsWVlZOl68xuDGjRs64aM0L8mePXsEZVUqFd5//33BGIKCgnRi2mr6/u677wrKchyHRYsWmWUDkJSUVOX7ESsrK9jZ2cHOzg42NjYGpa01FCZvzho3bowlS5agZ8+eFRp49O/f36AMN4wxXLt2Db6+vuXW5+3tjYSEBIMH+Xz9586dQ8eOHeHj44P27dtrNRLG4MGDB/Dz8xOQ65tvvhHsrK9fvy4aAVImk+HUqVM67u/Hjx8XVTd27dq1wgxDFY37119/rbIUCO7u7pg2bRr+/PNPPHr0CI8fP8aNGzewcuVKDBgwoFx9s6GoEnWYvuww+m7yrl27yv0kSaVSk4KnlZaWYsiQIYIXMCYmxqi6Lly4IEqCgIAA3LlzB2q1WqvnHD58uN5xdOvWDbdv30ZxcTF++eUXtGjRQlDG2tra5OjgGhXh7t274e3tXSWkDQgIwLVr10S/Dow9S4K4fPlyveQ1FFVCXGM3RwqFArNnzy53vdu4cWNcvnxZ57SrolOm+/fviwbS++STTww+PGCM4d///rfefjVs2BDz58/HggUL4O/vX+Ga3dvbG02bNtWbS9jHx0c0JWtFfSwsLMTu3bvRu3fvSrOWe1Hs7e1x+fLlCl8yhUIhmED+TxBXc+OHDRtWbr2enp544403EBERgd27d2P37t04d+6c3vxl+sz/xo8fb1BAEcYYkpKSKj1K4vMSFBQkCGmvz7WIsWfxc0+cOIH+/ftXeXak119/3eDALCtWrBB9qQ2FSdZhxgL/NVM01OCE4zhycHCg2bNn0+HDh/WWy8zMpJ07d9LOnTu1f3N2dqbFixfTBx98INDpOjk50YgRI+jKlStanSvHcRQUFKTXOOdFrFu3rtJcl8SQl5dHPM/r6EPj4+MpMjKS9u/fT2VlZdSrVy8KCgqikpIS2rVrF12+fFnHmbIqIJfLafDgwTpuSvqA/5ozwhwdr6EMJzPexG+//dbo0xnGGLZu3WpSe40aNdKrJy0uLsbKlSsRGBiI+vXr4/XXXzc4ivqpU6cqLZ6WPpHL5Vi0aBFOnjyJyMhILFiwoMLNa3VImzZtDM6PVlJSolevbCiqhLirV682aA3JGENsbCwiIyMxe/Zsk9U3FYX0Z4whMzOz3EgyL0KlUunEQ6hqsbKyMkidVB3i7OyMw4cPGzw5Xb9+Xa9O2VBUCXEHDBhQ4donMzMTM2bMMMqSSExsbGzwxRdfWNRMjzGGM2fOGD3benp6Ijg4GI0aNapWYnEcB1tb20rJ2yaRSLB48WKD8yIzxkR11cYSt0rWuImJiYIz9ufBGKPvvvuOtm3bZvK6RyKRUGBgIC1evJiGDRtmcQPu6OhoKioqMri8vb09ff/99zRo0CB68OABvfHGGxQdHa1TxsHBgQYPHkxjx46liIgIOnLkiMnjb9myJQUFBdHYsWMFwZElEgnZ2dkRY4wSEhLok08+oYcPH5rUzouwsbGh/v37k1wuN6j8o0eP6Pfffze/YUMZTma8lQ4ODvjrr7/0zoJlZWVo06aNybNJ+/btsXv3buTn51eKQbRKpUL37t2N6pevr6/2ZIyxZzkbOnTooP3d2dkZP//8s/Z4Njc312iHRx8fH4SEhGDHjh1IS0vTa2PwPBhjuHz5crnxcY29/1OnTkVWVlaF9764uBgzZ84stz5DUWX2uN27d8fdu3dF17qlpaWiyndDZPDgwUhJSTGYsDzP4+nTp4iNjcWNGzdw8+ZN5OTk6L2e53n8+uuv2vW2h4cHPvroIxw4cABbtmzRid3wvPj5+enYSGjcuGfPno0JEyYIYjQwxrTBjcuTevXqISwsDPv27dNGyzH2ZS0rK8Nbb71lEeISPVsuBAcHY//+/Xjw4IFOeiue55GdnY2YmBhMnz69wlNWQ1GlhuSNGzfGqlWrcP/+fW2oJcYYLl26BDc3N6Prc3JywpUrV/R6BpSUlODevXu4dOkSVq5ciddffx1jxoxBQECAdrNjbW2Nbt26YeHChbh165bWXYjneSQmJmL16tXavrm4uGhjOGjk559/FtVHuri44P79+4I+Pa97fRFjx47VO1YbGxtMmTIFsbGxZodeZexZxMjnc6pZQjSBVUJDQzFu3DiMGzcOo0ePRpcuXQw2zjEUVe4BwXEcPDw8MHnyZJw4cQKRkZEmBxfp16+fINym5ljx4MGDGDZsGBwcHCCVSg2yOnN0dMTIkSMxadIkvP7666hfv77OdX379hV4UkRHR+ute8aMGQbZaABAYWEhQkJCBHVIpVK0bdsWu3fvhkKhsNhSqKSkBK+++qpFiWsJMRTV6rojk8kq/HToEzs7O+zcuVPnQfI8jwsXLmDo0KGVYjParl07nVBJjDGsW7dOb3lra2vMmjULcXFxKCgogFqtFsyWmvXt4sWLddRdtra26NmzJ77//nvk5eVZfO3OGENUVFS1azxMJW6lZ90xF1KplEaMGEEhISGkVCopOjqaeJ6n0NBQGjt2rNa7ged5OnDgAM2ePbtS4z0sW7aMFixYQFKplKKiomjKlCk6YUPFrrG3t6euXbtS48aNSS6XaxNyy2QyKisro+joaLp06ZL2NK9x48b02Wef0ZAhQ8jGxqbS7j0AunLlCk2ePJnu379fqWFJjemToQUNAlXTG9i2bVvtjpWxZ27lL0bw1pgEurq6Vnp/ZDIZgoOD8corrxiclM7Y+s2N1m0MNJvG6dOnWzzempWVFTw8PODh4WGw3YShqPHE7dKlS4WnbkqlEmFhYdXWR0tK48aNkZKSYvADNBRqtRoZGRl49OgRcnJyBGlYS0pK8Pbbb1vkdE4ikaBnz57YsWMHUlJSkJycjJ9++gnvvvtuhQdMhqLGE7dNmzYCT4EXkZ+fX+PWaqaKr6+vSUby5YExht27d8PHxwcuLi5o2rSpwF+PMYanT5+iadOmZo+hf//+okFGVCoV4uLi8Oabb+o14zQUNZ64MpmswnPwvLw8gU9XbRWJRCJITK0hVkX2xvqQm5uLnj176rTj5uaGyMhIwea2S5cuZvW/ffv2SExMLLc/SqUSf/31F8LCwuDu7g57e3utGIoaT1yiZ9l4xDLTaJCXl6f3IKA2iq+vL7Zv3468vDwUFhbi1KlT+PLLL/HZZ5/h4MGDUCgUBj9gAEhPTxeN8BMcHIyMjAztC6FQKNCuXTuT+92qVSucO3fOoJdLs1958uQJkpOTtWIoagVxNVnKxRLPabxoLXWEWVPEysoKDRs2hJ+fn85Bgb29vVGuUMCzmXTWrFmCNjiOw9ChQ3HixAncunUL77//vklqRBsbG4SFhSE+Pt5iYagqQq0gLtEznejSpUuRkZGh1YXyPI8nT55g7NixgkMAV1dXjBkzBlOmTEFYWBhefvllODg4aHXHUqm0xpoJViQtW7Y0OvT+nTt39NrxOjo6wsvLy6T0CE2bNsWuXbssFuLKUBisx5VKpdr/Z9WUeVsqlVKTJk1o9OjR1LZtW7p79y7t2bOHEhMTdfpUr1492rlzJ/Xq1Uvr2VBUVERPnz4ltVpNjDEqKiqiGzdu0NWrV6mgoIBiYmIoPj6+RugyK4K1tTXFxsZSixYtDL6G53n68ssv6YMPPrBYeFg7OzvauXMnhYaGikYQqlQYyvCYmBjExMTg4sWLmD9/vknRAatKXnvttQrTTj0PTUyHVatWVbmflikilUqxfft2o2eptLQ0i3pPeHt7mxxs5UW/OY0YCpNzQNy9e9foSHxVJZMnTzZp911WVoa5c+dWSU43c2X69OlGj7GkpASjRo2yWB8cHBxw5MgRHU9rQ/mTnp6ON998E507d0bnzp3x0ksvoWvXrgaPxSTiaho/cOBApZwemSuhoaEmr7ni4+MFUWoMFZlMhqCgIAwYMACBgYGVuobu1KmTwT5eGmRkZMDf39+i/XB3d0dISAjCw8MRGRmpN47v8+B5XjSDElEl6HHFUFpaij59+lQ7UV8UBwcHnD9/3uQxvZj5USPdu3fHwYMHsX79eoEWw9bWFhs3btQas2dlZWH58uWVFiBOJpPpDUMlBpVKhTVr1lRKGi2NcByHrl274tq1a+X2paCgQNQSrsqIyxjDH3/8UeWer4ZIaGioIB6BoWP69NNPRYmiMf5mjGHDhg2C9l70u9JnqmgpefPNNw36PPM8j7/++stsfz5DZejQoXrzwQE1gLjAswcdERGBjh071qiNjSa8qClr3e3btwvMLRs1aoSHDx9qy1y4cEHndzHDGH0vgaWkZcuWSE1NLXcsarUakZGRohF8KkukUikOHTqk996npaXpPegwFBYhrsZ4++jRo1i9erXF11GmSqNGjUw69z9y5Ihg7e7p6Ym7d+9qy7wYWvXHH38UfVBnz56ttLwZEokEJ0+e1DsOhUKBjRs3VtlM+7wEBATg+PHjiImJwY0bN5CUlASVSoWSkhL8+OOPVRc77NatW7h9+zaePn2q903SkPjhw4fo1KlTtROXiPDhhx8K+qtQKHD69Gl8+eWXiImJ0fGiYIzhq6++EmysNNEYS0tLkZiYiK5du+r8PmfOHFEVXEFBgU4+B0vL8OHDBV4WGlPFmTNnVuqaVkxkMhm8vb1ha2urPeiRyWRo0qQJhg8fjgEDBug1sKkU4kqlUsjlcrRt2xbLly8v91yZMYbvv/++RqiVWrdurQ1CrcGmTZtgZWWljTcwatQonD9/Hg8fPsSNGzfQo0cP0bqcnZ0xfPhwUSK2bNlSNHYEz/P4+uuvdY5t3d3d0blzZ4SHh2Pbtm2YNWsWGjdubJIWQiqVYsGCBYiPj0dSUhLu3buHNWvW6I1qXpFwHAc/Pz907NgRrVq1MjgWg6OjI8aNG4e9e/fi5s2b+OSTT0zamFqcuC8OrkePHuXGbI2KiqoS4kqlUnh5eel9izmO08lgzvM8RowYISgnl8vh4eFhsnrP398feXl5oveirKwMf/31F7Zu3Ypt27YhKioKSqVSe3StVquRlpaGVatWmRRZkeM4ODk5wdfXFzY2Nibfd4lEgkmTJuHJkydQKpUoKSnBF198USEBvby8cOjQIa0hFGPPMtib8qWpVOJqBvn555/rXTbs3bu30olbv359fPXVV7h79y5+/fVXnbgFz8vBgwd1iFtRFEhTxMfHR+DV+zwMMUtUq9Wiy5Sqkq5duwp0w/n5+Xq/QETC7PXP3+e333670ohr8gEz+2+aS33n3ocOHarUc39HR0eKiIigOXPmUMuWLWnkyJG0detWcnNzE5R9Pr8vx3GVcq4OoFwbDk1+4vL8x6RSKY0dO7ZashhxHEevv/46ubu76/zd0dFR8Lfn0aNHD+rbt69gXBzHUZ8+fSqjq0REZNYTTEhIoJycHNHfjAlXZArc3NyoS5cuOjlzO3ToQM7OzoKymZmZOv+uDOdDqVRqkbRUnp6e1Lp1awv0yDhIJBLq1auXKAHLC6/Us2dP0UTbHMfpGGZZGgZbh9WhDjUJVWyLVoc6WAZ1xK1DrUQdcetQK1FH3DrUStQRtw61EnXErUOtRB1x61ArUUfcOtRK1BG3DrUS/w+GSho33y2bqwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 48\n",
      "\tJ = -7.2716e-01\n",
      "\tbeta = 48.00\n",
      "\tgrad_norm = 8.4624e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACuCAYAAACvDDbuAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAPYQAAD2EBqD+naQAARjdJREFUeJztfXd4FFX79jPb0gshIYFACKFKCYYOCR0UEAhSRYkgIk3BF+nSVJoYC0pTQUWQjqCCSElQipRASKgJJKGkQBrpdXfn3N8f/Ha/LDObbE1539zX9VwXZGdOm3vOnPOcp3AAQLWoRQ2DpKobUItamIJa4taiRqKWuLWokaglbi1qJGqJW4saiVri1qJGopa4taiRqCVuLWokaolbixoJg4nLcZxAevXqRbm5udZsX7XEP//8Izoehsjw4cOptLRUb9kPHz6khg0bmlx+TRdDYdaM26BBA3JycjKniBoHc0/InZycSKFQ6C07NjaW0tLSzKrjfwEmE1ehUNDw4cNJIvnfW23wPG/SfXK5nIKDg0VnFgCUkpJCK1asILVabW4T/+shM/RCuVyuHfD69evTnDlzaMyYMVZrWE2FRCIhhUJBUqmUVCoV8TxPjDFSKBS0aNEiCg4OFr0vPT2dJkyYQBEREZXc4sqBTCYjqVRKRM9efHNfToOJGxERQVKplGxsbMjBwYG8vLy0DflfAsdx5OzsTI6OjlRQUKDzm7OzM82dO5fGjRtHcrmc1Go1Xbp0iW7fvk3BwcHUsWNHsrGxEZTJ8zytW7eOzpw5Y3bbpFIptWvXjtq1a0ccx9GVK1fozp07ZpVrbpsCAwNpyZIl1Lx5cyIiio2NpY8//piuXr1q+tILtTAapaWlmDVrFqRSKYgIEokEnTt3xu+//w6e540qizGG7du3w97eHkRkknAch169emHJkiW4fv060tPTwRgDYwzx8fHo2rWryWWbK8OGDUN6erqg38nJyRg6dKjgekNRS1wTUVhYiLCwMPznP//B4cOHtWQxFIwxlJaWYtu2bXB2djaLHLNmzUJOTo7eug4fPgyZTFbppPX09ERkZKTedt25cwd+fn61xK0ImlmorFRVOxISEjB8+HDY2dmZRY6OHTsiIyOj3Pri4+OhUCgqnbizZ88u9wvEGMPWrVshl8triasPjDHcvXsXc+bMQbdu3TB69GjcvXu30smr+Xx36NDBoIdvb28PFxcXvb+PHz++wj48evQIdevWrVTSent74+7duxWOR0lJCZYuXarto6H4nyHu0aNH0bhxY53B7dKlC54+far3HsYYkpKSkJSUZDGC8zyPhQsXVvjgPTw8EBoaiitXriA6Ohq//vor/P39da6RSCQ4dOhQhXUWFxdj5MiRlUba+vXrIywszOAxU6lUiIqKwvHjxw0ex2pHXMYYkpOT8fjxY4uQhTGGuLg4wVqKiGBra4vDhw+L3vf48WO88847aN68OVq0aIGZM2ciNzfX7PbwPI/x48eX++CbNWuG8PBwnc8sYwyJiYlYuHAhvL29YWdnh0mTJiEvL8+gMdi4caN2M2mMuLi4oHv37ggMDIS/v3+5ZXh6emLChAmIioqy+pes2hG3qKgII0aMwIQJE1BaWmp2eTk5OXj11VdFB7pu3bqimweVSoWFCxeC4zid6//zn//ofSDFxcX4888/MWbMGHzxxRd48uSJ6HWMMRw7dkyvFsHb2xvHjx8XrYcxBp7nERsbi3PnzqGoqMhgguTn52P8+PGCPukTiUSCIUOG4PLly1Cr1WCMITs7GydPnsScOXPQpUsXdO7cGZ07d8aAAQOwY8cO3Lx5EzzPV8ryq9oRV61WY+/evTh06JBBqiXGGNLT0xEVFYXo6GhkZGRoN14PHz7EuHHj9D6sLl26iL4c+fn5aNSokeD6rl27iu7eS0pKsHjxYu3OneM4vPzyy8jPz9fbx40bN8Ld3V2n/ICAAJw6dcoqD14zYw8ePNgg8o4YMQJZWVmCtpTd2PI8ryVqZW92qx1xjRkEnudx4sQJdOnSBVKpFHK5HB06dMCoUaMwcuRINGnSpNyH880334jWk5+fj4YNGwquDwgIEN3Bnz9/XjCDKhQKbN26VfTl0/QvMjISO3bswPr167Fnzx6kpKRY9eFryNunT59yx+WFF15ASkqK1dphCVQ74hqDuLg4NG3a1ORNxPfffy9KFKVSibfeektw/YQJE0RnoJCQEL0EiI+PL5eMla2eY4zh+vXr5b7Ua9asqTJVoaGoscRVq9WYM2eOyaQlIvTr10/v5/DmzZsICAiATCaDVCpFUFAQHj58KGiHUqnEsGHD9NbRqVMnXLx4Ebm5udWGDIwx/Pvvv6LLIQ8PD8TExFR1EytEjSVuWlqaQL1lrHAch5EjR+Lp06ei5M3KysLOnTuxfft27dr5eahUKgwfPrzcemxtbdG3b1/Mnj0bkZGRUCqVlTVMesEYw7lz59C0aVPtmtfe3h6bN282+ti6KlBjiXv48GGLnAZpyFtYWGhSOxhj+M9//mNwfY6Ojvjqq6+qBTkYY7h//z42btyIzz77DIcPH4ZKparwnpycHDx69AiJiYnIz8+vki9JjSSuUqnE22+/bTZpNeLg4ICjR4+a3J6UlBQEBgYaXJ+fnx8ePXpk9jhYam1sTDn3799HUFAQHB0d4eTkhGHDhuHJkyeVTt4aSdzExES4ublZjLh2dnYGnUDpg+bQZNKkSQbZHkilUly7ds2s+qKjo/HJJ59g2bJlOHToUIUzpSXA87xgwuA4DsHBwaKqP2tuOmskcSMiImBjY2MR0nIch1GjRqGgoMDsdpWUlGDv3r2Co9nnpU2bNnoPKCqCmFbAzs4OmzZtMlh7YSqKi4tFN6I2NjbYvXu3dvnDGEN+fj527NiBNWvWYOfOnSgpKTG5XjHUSOL+/fffBhNXIpHAyckJXbt2RY8ePeDu7g57e3s4ODggICAAK1asQHZ2tsVmBcYYHj16hP79+0MikQjaI5PJ8Pnnn5tcH2MMX3/9taDcFi1aIDExUfSe4uJiHDlyBF9++SXOnTsHtVptUt08z2Py5Mmi4+zm5oYvv/wSly5dwubNm9GhQwftHkShUGDdunUWnXlrJHEfPXqEevXqGbQRmj9/PhISEpCVlYXs7GwkJycjMTERiYmJotoES0BzmrdgwQI4Oztrd+02NjZYsmQJioqKTC6b53msXbtWtL9btmwR9CcrKwshISFwcHAA0TN7An1Hypq2l5SUoKSkRHQDeePGDfj4+OhdArm6uoraM/Tu3buWuCqVCps2bYKjo6Pez3+zZs1w8uRJi9g7mNPO27dv48MPP8R7772Hf//91+xPJmMMW7ZsET229ff311mC5OfnY+bMmYKZv2fPnqJrUp7nsXPnTnTs2BFt2rTB1q1boVKpdAinVqtx+PBh1K9f36gl2eDBg2uJCzwjxdWrVzF58mQEBARAoVBALpejTZs2WLhwIRISEqqNwt/SSExMFD2S5jgOr776Ki5duoRLly7hzTffFF1S1alTR3B0zRjDxYsXdTa9tra2orO4Wq3G/v379U4cz4unpyfOnz9fS9yy0HyWb9++jVu3blWJaqaywfM8VqxYoZcoderUQZ06dfT+7ubmhszMTJ0yGWPYs2eP4Npu3bqJLhmUSiU++uijCk0lGzZsiNOnT1v8mdR44v6vIiYmBl5eXkZ9rjUyYsQIwTqbMYYDBw4IliBdunTRq2p78uQJWrRooXe5Nnr0aNy4caNWHWYNaFREycnJuHz5so6HbHWYuTXtKCkp0a43Nf9v1aqV0aT18vLCuXPnRPuWmZmJl156Sef6mTNn6h0HnuexadMmHZ8xTR0fffSRRVSM+mBwXIX/RgCgqKgoWrt2LV2/fp3S09PJ29ubvLy86PXXX6emTZtSvXr1qEGDBuTg4EAymcyo+FbmQq1W05kzZ2jt2rWUl5dHUqmUmjdvThMnTiRvb2+jgmrIZDLq3r07rV69mrp37y7aDzc3N9q5cyetX7+erly5QkOGDKG33npLb58lEglNmTKFiouL6ejRo0RE5O/vT1OnTqXWrVtbd6ys9kpUczDGcPbsWdFNjkYkEgm8vLwQEBCAoKAg9OnTB9OmTcP58+dRWFholi62oKCgXGMbxhiOHDkiekJoa2sLf39/rYqrIvH398fu3bvLdWE3B4wxqNXqSvN+AAAOqNl5zgBQXl4e3bt3jxhj5OfnRx4eHhXec/HiRRo3bhwlJycbXaeNjQ317t2bZsyYQb6+vkREVFRURFeuXKHs7GwaNGgQderUiWQy3Q8aAMrMzKTFixdTTEwM2dra0jvvvEPDhw8ne3t7nWuTk5Opb9++FB8fL9qGpk2bUqtWrSgsLKzc6I89e/akXbt2aSNA/tegUl4PK6GoqAgHDx5EUFAQZDIZOI5D165dkZCQUO59Fy9eFLVFNUXs7e0F3g+2trZYs2aNQGebmZmJl19+WedahUKBt956Czk5OdrZqri4GO+//75eFxsPDw+cOHEC+fn5WLZsmWCNqZFu3bpZ1EO5OqFGEVfjsHf79m0cPnwYgwcPFjw0juOwYMECvQ/r/v37enfClhSFQoG1a9dqzf6ys7Mxffp0vWTs1asXDhw4gPPnz+PNN98UPS4meqbq+vnnn7UOjHl5eXjllVcE17Vp0waxsbHlnpClpaXhm2++wcSJE3Hw4EE8evSoxpC82hOX53kkJCRg5cqVGDduHIKCgmBvb6/3wRIR3njjDb1esh988IHVSasRmUyGgQMH4q233kLv3r0rDIPEcZzefkkkErRq1QpHjx7VUU8x9iz2w6BBg+Do6AhbW1sEBgbi2rVr5ZLw6dOn6NOnj/ZFkkgk8PX1RWhoKIqLi63yLC2JSiWu5rDg2rVrOHXqFO7cuYPk5GS9Rh85OTn4+OOP0aBBA4PdqonEfcMAIDs7G126dKk04lpKvL298dVXX+n1wtCox06ePInff/8deXl5Fc6c27ZtE11iSKVShIaGVvrMa6z6sdKIyxjD33//jYCAAMjlcshkMigUCvj4+ODtt9/G6dOnkZiYiMzMTKSkpCAsLAx9+/Ytd2bVN2stWrRItA3Z2dno3LlzlRPRGGnatCkuX75sUY8JxhhWrlypt84uXbpYTQMh1pbExER88sknmDp1qsH3VRpxMzMzy42XpVAo4Orqivbt28PLy8tktxy5XK43QiBjDEuXLjUpoktViLOzs1GhjAxFRcT19vZGXFyc2XVU1G6Ni367du20E5ShMPgAYuHChdS2bVsaPnw4OTs7G61ayc/Pp5iYGL2/K5VKUiqVlJOTY1S5YnB0dBT9O8dxNGfOHLK1taXvvvuOSkpKiIgIABUUFGj//zwUCgW1bt2aRowYQQUFBbRnzx5KSUnRW78mEQdjzKx+BAYGUmBgoFXUWN7e3iSXy0mlUgl+a9euHfn4+JhULgAqKiqi77//nlJTU2nw4MEUGBhIcrlccG12dja9//77dPPmTZMqMgj0f7Ni//79kZqaavCboUFiYiJcXV3NnoUq2uDI5fIKowSq1Wrk5OQgOzsb2dnZyMjIwKFDhzBhwgTUqVNHu57mOA4NGjTAhg0bkJ2dDZ7noVarcfv2bbRr105Qt0QiQa9evbB27VqEhoaiX79+etfmUqkU7u7uaNy4MVxdXQVLImdn53LtZgHzvBry8vIwcuRIQfvc3Nxw7Ngxo8srO7bz58/XftUcHR0RGhoquo+JiYkRfFkNhVHE1TzMJUuWGD1YSqUSc+fONXrNqpGGDRti8eLF2LRpEz744AO9wZANIa4YNBucmJgYrFy5EosXL8aaNWvw8OFDvYPepk0bbb02NjaYNGmS1ptCsxHt27ev6Mu3YMECJCUlISsrC/Hx8Vi6dCl8fHzg7OyMBg0aIDQ0VK8tsaat+/fvx6pVq/Dpp58iNjbWKL8zxhiePn2Kjz76CC1btoSHhwfGjRuHv//+2yz/tZKSEoG60d3dHZGRkQLOXLp0STARGQqjiUtEmD59uklveVpamkABX5FIJBIMGDAAV65c0W5Q1Go1fv75Z9HAcXK5HLdv3za6bWVhyEzG2LN4uwsXLsT777+P/fv3C46BGWP4559/dIyu5XI5li9fLlA5qdVqpKenIzk5GWlpaeWSR6lU4v3334etra0OOdauXWtUIDzgmboxMzMTqampKC4uNns9XVJSgmbNmgmeS0hIiKDsmzdvCjQbhsJo4tra2mLfvn2G9+Q5PHz4UHBqJZFI8MILL+Cdd97B22+/ja5du6JevXro3bs31qxZo3OqpIFSqcS7775rFeIag4pIzvM8IiIiMGfOHEyfPh3ff/+92V4Qf//9t+gXRy6X46OPPjLZp8wSUCqV6NWrl6BtnTt3FliLJScnw9fX17rElcvlaNy4MTZu3GhWJBalUokpU6boLD2mTJmCx48fa9eQWVlZSEpKEiVsWdy/f18Q99bGxsakpYK1YckYCJs3b9b7hXJycsLFixer7ASMMYZNmzYJ2uXu7o7o6Gida3mex9dff62zzjUUBmsVbt68SQ4ODtSgQQOzkvIVFRXR1atXtf+Xy+U0c+ZMql+/vvZvderUoTp16lRYVuPGjWn58uU0c+ZMKioqIiKiQYMGkbe3t8ntsxYqy8AlPz+fUlNTK6UuMXAcR/Xq1SOZTKZjdllYWKh9RhpIJBKaPn06OTs705EjR4zSLhhM3JYtWxpcqD4AoAsXLtDdu3e1f2OM0b179+jFF180+uFKJBKaMGECubq60r59+8jV1ZU++OADcnBwMLut1RUcx1FAQADVqVOHsrOzq7o5omjRogW5ublRenq69m8KhUI0FaxCoaCJEyfS66+/ThkZGYZXYslPREWfwpKSEtGQnK+++qpZ5+PVyWOhMqBSqTB16lRRVZuzszMuX75cpUuFU6dOCRwpPTw8cOPGDYvVY3YiXgCUnJxMGzZsoFdffZW+/fZbSkpKEs0YmJubS2FhYYK/h4WFmWQXq4Ep2bdrMmQyGa1atYrGjRunk6lSIpHQ66+/Th06dKiysQBA//77ryDrZnFxsWCpYG5FJoOxZ6mPnjdc8ff3x9WrVwVvvT4jF5lMZlJMVsYYVCqVRdQ4ptT94MED/PPPP7hw4YJF498a+gUpKirCyZMn8dprr2HIkCHYs2ePQclMrAXGnsU0E4u5wHEcwsPDLTZGZhGX53lMmDBBdHc7ZMgQgVqGMYb169cLbAU8PT3x4MEDo+rOyMjA8uXLERQUhG7dumHx4sUmhwo1FhcuXMCoUaPQpEkTyGQy2NnZoVu3bmbnb8jKysKiRYvQu3dv9OnTBxs3bjQr6k1lQjOJlWePIhajwVSYRVy1Wi169ElEaN68uWgO18LCQsyaNUurAnFzc9N7JKgPeXl5ggwyEokEq1atsmrcWcYYbt++DW9vb9E+Dx8+3OTIOdnZ2RgzZoxOeRpjdFNPshh7lsHy7NmzOH/+PFJTU632ZcrMzET37t3LPUwKCAhAdna2Reoze8YVy5VARGjbtq2oezJjz3LYhoeH448//kBERITRD+bAgQOitqS+vr54/PixOV0qF4wx7N27V++DWbZsmUnKf8aY3qR9Xl5eguAdhpZ55swZrYKf4zh0794dDx48EJCX53nExMTg6tWrJpkzMsbw3XffGWQoP3v2bL3ZiIyBwcSNjo5GXFycwPo+MTERgYGBOrOfnZ0dNmzYYDUDkVmzZokOjK2tLe7fv290eYaCMYbDhw+L1t2+fXuTwz6lpaXpDU3q6uqKqKgoo8t8/Pixji2FRvr27auzDuZ5Htu3b4ebm5s2t5mxJo2FhYWip2ViIpfLMXbs2HLdigyBwcSVSCSoV68epk6dqpPEgzGG1NRU7Nq1CyEhIZgyZQqOHTum9YmyBvbu3Ss643p7eyM5OdkqdQL/v69lDdxlMhm6detW7oNQKpWIi4tDXFyc6KnjhQsX9NoIe3h46A0fWh4iIyNFDZoUCgW+/PJLlJSUQKlUYseOHQLVVb9+/RAZGYn8/HwkJSXhzp07iIuL03tUff/+faNzBXt6emLnzp0mL61Msg6bMmWKToWamVOtVluVsBpkZ2djwIABOgMhkUiwZMkSq+dW0Fh97dq1C9u2bcP+/ftFM/do8PTpU8yaNQsuLi5wdXXFypUrBQ/r/Pnzes0f/fz8TNIUxMfHo0GDBqJl2tjYYMSIERgzZoze2Axubm4YOHAg/Pz8IJfL4eLigilTpiAzM1Onr2q1GitWrDDKtUojDg4O+PHHH016ZiZZh9WpU8doLYAlwRhDbGwsxo4dCx8fHzRp0gRz5861SK5dY9pQ0VKH53l8+umnOrOpnZ2dQBF/9epVvSlSFy5caNK6med5rFy50mQzUn0yYsQIHdPNuLi4coOqVCTu7u64dOmS0ZOdScStV6+eRZJvmAPGGJRKJQoKClBYWFgpORCMRU5OjsD6ieM4bNmyRee6lJQU0Thgrq6uJj1UDTIzMzF48GCLEpfjOLz77rsoLCzEw4cPDV7blifDhg0zOiq8yfa4liCKZnnx33pUm52dDQ8PD8GDmjx5ss516enpopuzIUOGmG0CmZSUVGFOCmPFyckJc+bMQceOHUV/r1u3Ll5//XX0799fb7CSsiKVSjFq1Ci9voJiMCronUwmo169etGyZcsE4YWMAQB6+PAh/fLLL5SdnU2Ojo4UEhJCfn5+JJVKTS63uoHjOEFoJaJnllJlkZSURAkJCYJ7hw4dKmqYYgy8vb2pQ4cOdOPGDbPKKQs3Nzd68OCBaJlt27alHTt2UOvWrUmtVtPSpUtp/fr15ZbH8zwdOnSIjh8/Ljgq1gtDGb5kyRJs3rzZInkT7t27hzZt2ugs6H18fPDbb7/9V82+KpUK7733nmCGGT58uHbdqs9+tW7duqIzkOaYu6CgwKBNTX5+PoYOHWqx2bZTp06IiIhAYmKiYMaVyWTYsWOH9hkyxnD06FGjyjcUBl9pyXP4Tz75RHQX+uKLL5qcRsnSsJTR96effiq6dg0LC0NhYSFu3rwpGhLK19dXcISt0Wh8+OGHCAwMxPLly0VjgzHGUFxcjNjYWEyfPt0iGTiJCI0aNdL6jjHGsGjRIp3fvb29dbKuM/Ys4mR5ZSoUCjg5OaFNmzYYN26cwWNb6SGYeJ7HvHnzRDshkUjMSlxnqfZdv34dmzZtwvbt2wXqHw3UajWKiopQVFQkSPChAWMM69atE+2ru7s7OnXqpDd7UNOmTQWmnqWlpXj77bd1NAWaEKIFBQUoKipCVlYWdu3ahZdffhnu7u4Wm2nlcjl+/vlnnX6eOHFCx+9t0qRJggOqDz/8UO+6dsiQIfjtt9+QlJSEzMxMo0xbK524jDHs3LlTp8NlZ5mqVrOdPHlSq96RyWTw9/fH/v37UVxcDJ7noVKpcPfuXSxduhTNmzeHn58fpk2bhhMnTqC0tFTnwapUKqPy/JaVcePGCQ4rsrKyRMPn29rawtfXF82aNUOjRo0sNsOWlV69eon6jJX1fZszZ45O/3meF7UGlEgkmDFjhkGhovShSoLeFRcX46uvvkL9+vUhk8kgk8nQunVrHDlypMqSM2tM8sTCjzo4OKBbt25YvXo1Ro0aJUoeR0dHBAcH4+TJk9pTqb///ltUq1CR2NjY4NChQ4KH+vjxY5PKM1fq1q0rmoAkMzNTq+6zt7fH+fPndX7neV5U8xAUFGS2zr3KojXyPI8HDx7g9u3buH37tt5sORoHyorUZpp1l+Z6Y6NjFxUV4fXXXzf7ITs5OeGFF15AmzZtTMo3rMnmLmaglJubq/c0zBKiiRYpkUjAcRw4jkO9evWwf/9+0QlFrVZj+/bt6NevH9auXStQ3fE8j549ewomgSNHjpi9f6jWEckzMzNp6dKldPHiRapfvz6tX7+eWrZsKbDuB0BPnjyh8PBwOnjwIGVmZpK/vz/16tWL3NzcqEOHDlSnTh3iOI4ACDwmSkpKaNWqVfTZZ58ZlVfBHNjY2FCPHj3IxcWFAJBarSapVEq9e/emt956i1xdXQX9VKvVtGTJEgoNDRX1MDEHXl5etHbtWgoICCC1Wk0JCQnk4OBALVq0oGbNmun1qMD/ha+yt7cXqDIB0LFjx+iNN96g3Nxc4jiOQkJC6Pvvv9fx3DAJZtHeiuB5HhMnTtR5W1988UWBWZ7GRjYgIEBUU6FQKNCiRQt06NBBKx07dkRgYCAWLFiAdevWoUePHgYpyi0lLVu2xLFjx7QBRDQqLkO+EikpKQgKCjKqPoVCUeHR77Rp06yyTFOr1QgLC8OECROwdevWCkMOGIoqI25F6qaoqCjRT+3MmTN1zu4LCgrQr1+/SiOdOcJxHMaPH4/4+Hizxi0pKcmgo1YnJyds3LgRV65cQXh4OHr27Cn6cstkMpw8edLkNlUFKp24KpUKERERCAsLw9mzZ/W624SHh4s+jLKBJRhj2L59u1V20dYg7ZQpUyxiCMQYQ0pKSrnkdXBwEKiv7t27J6ozlsvlJvn8VSUqlbilpaX4+OOPtfafUqkUwcHBOva9Gpw+fVrvQ1m3bh14nkdpaalOVJzqKposi5a0XmOM4datW3rdiKZNmybq8/fLL78IXvTGjRsjKSnJYm2rDFQqcSMiIgT2nxzHYfr06QIb1YSEBDRu3Fj0obz//vta797x48dXOTErEj8/P9y5c8eotZ3GAKmoqAiFhYVQKpWC5RXP81i0aJFg/dqvXz+kpaWJlltSUoL58+dryevk5IRvvvmm0o/aeZ7HjRs3sHr1amzfvh2XL1/G1atXDb7fYEuZGzdukLu7O3l5eZkcgunAgQMCAxMAtHv3bpo7dy41a9ZM+/cmTZqQr68vPXr0SFBOixYtSCqVklQqpYCAANq3b5/ZQZStAY7j6IUXXqCtW7dSq1atDIp1AIAePHhAW7ZsodjYWCoqKiIAZGNjQwqFgmQyGbVp04Zeeukl8vb2pokTJ9KTJ0/o+vXrREQUHBxMM2bM0JvrTaFQ0KpVq6hfv36UlZVF3t7eejNNWhN3796lwYMHawNkcxxHEonEcK2OoQyXy+Vo1aoVXnvtNZw6dapcq38xMMb0niJJJBL8+OOPgnvEjEPq1auHmJgYbd33798vN1N4ZUrr1q2xbds27N27F7t378bBgweRkpJi1Dg9ePBA1FdMbMz8/Pxw6NAhKJVKqFQqo0xEqzr6T2hoqOhG0VCYZI8rk8kQGBiIjRs3IikpySA1SnnEJXpme1o2hgBjTDR/V6tWrXQU3YWFhRY3ljZVNHEDTCUFYwxLliyxSIah6o7Dhw+LqugMhUnffLVaTf/++y/Nnj2bevbsSdOnT6ezZ89Senp6uYrx8j7nJ06coM8//5yKi4sJAEVHR9OtW7cE1/n6+uosVezs7Kh79+6mdMMo1K1bl4KDg6l9+/YV2siaGhKqoKCAzp07Z9ThQnnpUKszXnzxRZ0InUbDUIZTBW++QqHACy+8gJUrVyI5OVkwC+Tk5FSoOJfJZBgxYgRmzJghiHurkS5dugg2cl9//bXFfavKiqOjI44ePap1FVqzZo1oDIEhQ4aU67WqiSmRkpKCxMREpKam6uz8r127ptf3TEykUik2b95cI2dcnudFzVsNhcWIqxGJRIImTZpg/fr1SEtLg1KpRF5eHjZv3myR0ylfX1+BWunu3bsmm/BVFMSCiDBq1Cgdc738/Hz07t1bcJ27u7veiISMMeTk5GD27NmoW7cuHBwc0LhxYyxduhTx8fFIS0vD+++/b3C77ezsEBISgqdPnxr8sKsb0tLSBNZjhsLixC07GzRs2BCTJ09Gnz59LHZIoFAosHfvXp1ZpqSkBDNmzICjo6PWldrb2xvBwcFo3769XnI2aNAAn332GYYNGwY7Ozu9/fjll18E46Evos2aNWtE1/zFxcWYOHGiYIaRSCTw8PBA06ZNDX6xnZycsG3bthoTV0wfNAFWnJycqg9xrSljxowRxHUoKirCmTNnsHXrVsTGxiIrKwtFRUXIzs7Wq+udNWuW9vN/4MAB9OnTB46OjlpyyWQyDBgwQHRWi4yMFI1J4Ofnh4yMDMEDOnTokN6Xw1gRO1woD5rxyc7ORlZWFrKyspCbm1tlJqRloVarsXv3bvj5+cHJycng+2okcevWrSvIJ6APjDH89ttvgjI4jtM5EmXsWSbyK1euYNmyZViwYAG2bNmiN25XQUEBAgMDBeVKJBIsW7ZMawTOGEN+fj769Oljsf7PmzfPoHVtcXEx/vrrL6xatQqvvPIKGjRoAA8PD3h4eOCFF17A559/brRa0xrgeR4ZGRm4c+eOwffUSOISEVavXm2wGm7NmjWC+z08PPTG5DJElcUYw6BBg0Tb5ubmhi1btiAnJwdZWVmYOXOmRdOwdu/eXTQSZllkZWVh0qRJeiPVEP1/9xkxv7XqjhpL3GbNmiErK6vcNmssqcSCbbRs2dLs8P36iEv0zIuhUaNGaNiwocVzB3Mch5CQEL1RDxlj+Oabbwyut2fPnkYfSVc1DCauTCYzKT6UtUQqlWLRokU6fl5lvSBUKhUSEhIwbNgw0Xa3atXKrLRXJSUlFv38Gys2NjbYunWrKNmysrKMzhLfuXNn3Lp1q8aQ12APiBs3btCvv/5KX375peFBG6wMe3t7mjJlCvXp04cAUElJCSmVSkpOTqbw8HCKi4vTmyy6ZcuWFBUVRXZ2duXW8fzwaLwoLl++TAMHDqzSsahbty79/fff1K5dO52/X716lbp37260N0ePHj1o9+7d5OPjU/3zaRjDcrVajc2bN8PGxqbKZ9yyonG4NOYeBwcHnDhxQu8Mo5m5o6OjsX//fuzZswcHDx7EiRMncOjQIYEvVVXJuHHjBDbNFy9eNLm8l156qcL1c3WA0WaNeXl5orlaa6IEBwejpKRElLwqlQqffvqpIO6BjY2N0S+JNUXMI/jChQtmlTly5MhKjXxpCowmrlqt1hv2vaaJjY0NvvjiC1GD6z179ojGfqiO0q1bN52NqjkzLtGz/cP27dur9XrXaOIyxrBly5Yqf1iWEicnJ+zatUtHtfb48WO0b9++yttmjJS1WTCXuJqXwRK5GqwFk0Iulrdwb9KkCQ0ZMoQ8PT3p/PnzVFBQQIwx4jiOpFIpKRQKKi4upmvXrgksm1xdXalNmzYkkUjo5s2blJOTY0rzjEJ+fj7NmTOHsrKyaNSoUVRUVESfffaZqGVaVUEikWiN7OPj40Wt7D755BNq27YtBQUFUWJiotl1RkVF0c2bNyvF8s4kGMNyjaHI5MmTRd9SFxcXbcSTslLWyFljIbV48WIdPaObmxuOHDmive7XX3+Fq6trpc1YEokErVu3hq+vb7VS+ykUCixduhQpKSlISUnBypUr9VqQ+fj4YOzYsWZFCC8rJ0+erLbLBYOJO2zYMAwbNgxBQUF6DWb8/PxEHR+fB2PPsjKWtegaO3aszlqTMYb+/ftXOXEqQ6RSKZo1a4a2bdvqGJzI5XLt8bHmpVer1Vi3bl2leDYvWLDAZOIyxlBYWIg7d+7gzJkz+OqrrxAeHm4xwyCLnpxxHIe5c+eioKCgwg7HxsbqxE143nSQMYaBAwdWOamsLQ4ODvjiiy+QmpqKwsJC/PPPP/j444/x0ksvYdu2bYJAesCzLD7Tp0+3ets6dOhgsHaBMYbc3FxERkZi8eLFGDNmDAYMGABnZ2ftF8zW1hbff/995QYEMWb2eOONNxAfH1+ujnTTpk2CpcI///yjXSpERkbCx8enyolVkdjY2GDkyJHYsGEDXnnlFZ3ohYaM1ddff62zMSwb/0yfzQRjz5KGNG/e3Kp90+R7ePLkSblRdpRKJcLCwvDyyy9X+CXo1q2bRazSrGar0KRJE9EIf8AzHemcOXME93h5eSEkJARvv/221R+KJUQul2PVqlXaWVHzAF966SWDCDxgwIAK7S30gTGGrVu3Wj10FMdxaN26Nd58801MnjwZixYtQkREBBISEpCQkIDIyEhMnjy5XGOestKxY0eTsgg9D4OPfE05AmzWrBn98ccfAtfslJQU6ty5Mz158sToMstD3bp16d1336V69erR0aNH6fTp06RUKi1ahwaaHA27d+8mBwcHbf8AUGlpKV2+fJliYmJ0joyVSiX98ccfFBcXR82bN6dt27aRr6+vycerxcXFNGDAALpw4YJF+mQIOI4juVyu9aljjBk1xv7+/nTx4kVBbgzNuNna2hrWDmsSl4ho0KBBtH79emrevDlxHEcFBQW0fPly+uabbywaC8HNzY127NhBgwYNIolEQiUlJbRv3z767rvvKDExkWxtbcnZ2ZmePn1KGRkZVFJSUm55GtXc0KFDydbWlgBQdnY2/fnnn5STk0MjR46kWbNmUaNGjQyOl0D0zLlRrVaTTCYjGxsbs2wCANBff/1FY8aMoaKiIp3f5HI5DR48mHr37k0SiYSUSiVduHCBLl26VKFTqzXh4uJCf/31F3Xr1k3nZQ8LC6Nt27bRvn37DCvI0KmZzPjUNGrUCPPmzcPixYsxbNgwi++IxQ4RNJ/TwsJC5ObmIi8vDwUFBcjJycHevXvRuXNngdkfx3Hw8PDA3LlzERUVpY2mqCmL53kUFBQgLy9Pb/j8yoZSqcTcuXN1+iKXy/Hhhx/qRINk7FleiOTkZHzwwQflLmWcnZ3h7u4uSJVqKVm0aJHOsyobkchQ1Ah7XEdHRwQFBWHp0qVYvnw5xo4dCw8PD7i6usLHxwc7d+40ykSRMYa0tDR8+umnaNGiBVxdXdGgQQPMnTsXMTEx1SbZH8/zuHnzJlatWoXQ0FAkJyeLvpwFBQVYvHgx6tWrBx8fH3z66aei2ggNlEolfv31V4GDqb29PWbOnInr16/j6dOnOHfuHF577TWLG1U1bNgQd+/e1bZPrVZj/fr1cHd3N3hsqiVx5XI5nJyc0L59eyxYsACXLl3S5gvQzBzp6elIS0tDZmamybtUnueRlZWFtLQ0ZGRkVBvCanDu3DltBHKJRAJfX18cPnxYlLxKpRIZGRnIzMw06GvA8zxOnjyJQYMGwc3NDYMGDcIff/whmACKi4uxb98+dOnSxaIbwbJppYBn9s2PHz82eGyqFXGlUil69+6Nn3/+GcnJyVp/qOrwSbYkeJ5HcnIyHjx4oPdlYYxh1qxZgjHy8PDQpmwyF5rZ+smTJ+Xq3hljyM7Oxo4dO9CvXz+LGB+tWbPGrD5UK+KOHj1ar3PifwsYY/j333/RvHlzeHp64tNPPxU1reR5Xm8I1TFjxuiNK2zttufm5uL8+fMYM2aMWXsVc63Pqg1xJRIJLly4YHJHagrUarVOTDQbGxts2LBB8BAZY1iwYIGo3YSDgwMSEhKqqAfPUFRUhNDQUJOWDx4eHrh27ZpZxDUtXqgVwHEcOTg4VHUzKgVlrbdKS0tp06ZNlJqaqnMNx3E0bdo0atOmjeB+lUpFxcXF2v8DIJ7nKSIign799VdKSkoixphVVV52dnY0efJkat26tVH3SaVSeuutt6h9+/bmuQcZyvDKsJhasGBBhRstc6Ihau7neV4rYuWUdbrUd42+su/du4dDhw7h1q1belMsvfrqq4KvzYkTJ0TLu3PnDoKCgrTqLo7j4O/vj9TUVO01mZmZCAkJgZubG6RSKXx8fDBz5kw8fPjQqvsDnuexYMGCcp+pJgWVVCpF8+bNsWrVKuTl5Zldt8EHEBEREfTnn3/S3r176d69e6a/KeXA1dWVfvrpJwoODhZ9GwHQtWvX6Pfffyee56l///7Uq1cvkkqlOtdruhQbG0vx8fHaFFFEz2arU6dO0ZUrV4iIKDAwkPr160dNmjShZs2aUVZWFt28eZMSExPp119/pcLCQho+fDgNHz683ODMAOj48eM0Y8YMSkpKIk9PT5o8eTItW7ZMJzUSAPr777/p1Vdfpby8PCJ6NrseP36cXnrpJdGys7KyKCYmhk6ePElNmjSh/v37U8OGDbWOmwcOHKDx48cLDnRatmxJixcvpgkTJpBEIrGKA+SuXbto8uTJOqdnHMdRQEAATZo0iQIDA7WnbO7u7uTt7W2ZdhjDcsYY7t+/j759+1ptBvbw8MD169dF67969apOVkd7e3ssXbpUEI4pJycHH3/8sVHJ7OrVq4f27dvDz89PNB5Bo0aNEBYWpncGS05O1mZZ1IijoyPOnTsnuFatVmPDhg3aQ4AOHTroDX1vyDP59ttv9fbL1tYWS5cu1UbQtPQMnJ2djU6dOmnrc3Nzw4IFCwRhqCwNk3JAPH782KB0RabK5MmTRQd42rRpog/m4MGDOsrsjz76yCoOjX369NFr5nf37l3RjcrixYtFr1er1YiIiMCPP/6IGzdumGX3+tdff5W7SeI4Dq1atcLq1asRFhaG8PBwhIeH4/Tp07hz545ZRi+ayWzRokWYP38+IiMjK0UfbhJxNR4K1jJmHjhwoKiS/bXXXhO93t/fH2lpaWCM4Y8//jDYUslYkUqluHTpkuiYxMXFCeqVy+XYvn27KUNsFPLy8kTjmFUkHMfBy8sLQ4cORURERI3Sl5ukVeA4jpo0aULOzs6m3G5x3Llzh37++WdKS0ujtWvXChKkWAo8z+s1zvH29qbXX39du36TSCQ0evRoGjVqlFXaUhaOjo40c+ZMo9eOACg1NZWOHj1K06dPp8zMTCu1UH/9hYWFdO3aNTp9+jRt3LjR4HtNcpYEQDdu3KDs7GxTbjcJarVab9h4tVpNp06dIoVCQdHR0VZth76MQ7a2tvTZZ59Rs2bN6Pz58zRq1CgKDg6uFBUfx3HUs2dPatq0KcXHx5tUhkwms3r0GrVaTfHx8ZSamkp//PEHxcfHU05ODl25ckU7Ibz33nsGlWU0cQFQeno6bd26lXieN/Z2g/D48WPKyMggT09P7d8SExP12p1KJBJq27YteXl5CRIha2Bvb0+TJ0+m3r17U1paGv30008UHx9Pubm5JJFIqGHDhtS4cWMaNWoUqVQq+vXXX+n+/fuUnp6uLaN9+/bk4+MjWj7HceTi4kLz58+nefPmaUlQWaGMbGxsSC6XG30fx3HUoUMH+vzzz6lu3bpWaBlpQ1Z9/fXXdOrUKcrKyjJfx2zomkLjnRsdHW11J0aO47B+/XqthVNhYSHmzJmjV5OhSSGVnp6ORo0aiV6zatUqgafxuXPnsHv3buzfvx8PHz7U+V2lUuH69evYsWMHQkNDsW3bNp00VTzPIykpCbGxsXj8+LFV1oeG6qsZY9i9e7dJUSFffvllq7Vf07bff/9dEBFInxgKg6+cNGkSRo8ereOFak1xdHTE6NGjMXXqVAwZMqTc5CRTp06FUqlEUVGRaHioOnXq6I2FW9Ggix14lJSUYM2aNfD19YVCoUCrVq1w8OBBi0X4ZuxZRvipU6di0qRJ+Pbbb/H06VO9/mexsbFo0qSJ0WNsY2ODc+fOmURatVqNpKQkPHjwQG/CFsYYzpw5YzBprULcyiCrKWJvb4/w8HCtuaOYr1pQUJBObjRzwBjDhQsXBBZSnp6eJr0cYkhISNCJ6SuVStGvXz/taVlZKJVKvPHGGyaNnYODg0k5fFUqFbZs2QJvb284OzvjrbfeEgSHZowhKytLkJykWhDXxcXFKK9Wa8jQoUO1llLFxcWiaab69etnsU8hY88Sboi1Zdu2bWbXwxjDvHnzRJOciJkC/vvvv3BxcTFp7Eydca9cuSL48nbv3h2XLl1CSUkJeJ7H48ePMWnSJKMPqgyFyUY2ffr0oZMnT9KxY8cE8VkrC/Xq1aP58+frxLiVyYT7zbJHrpaASqUS/Xt5PnRqtZru3btHx44do8zMTL2bE8YYPXr0SPA7Y4wSExMFG2KVSiW6SXZxcaH27dvTqFGjqH79+qKbxNLSUpo/fz4lJSUZvFkqKSmhL774gvLz83X+fvHiRRowYABNnjyZPvjgAwoMDKQdO3ZYz9DHUIZTmbfC0dERt2/f1q779u/fb9DbZGtri4EDB2LFihX4+OOPsWTJEvTu3Rtubm5GH2Y4Ozvj999/11lXqlQqgQ2rVCoVzRNsKhhjCAsLE22TvgjhPM/jp59+Qr169WBra4uOHTvqjfiTlJSEpk2bipY/b948wTpaqVRizpw5cHFxgaOjIzw8PDB16lRERkYiLy8PxcXFSExMxKBBg/TOfh07dsTu3buRnZ2ts0F9XpRKJb7//nurxkc2FCYRt3Xr1jrWSYcOHaqwQe7u7tizZw/y8/N1BiM/Px/p6enYvXs3/P39Df60TJs2TbAp0Bhp169fH0TPTq7Gjx+PnJwcgwfEEJw5c0bQTo7j8NNPPwmuZYzh2rVrOjYWRIT3339flORRUVGix9XOzs44deqUaPklJSWIj4/HtWvXkJ6erg3ZVBYxMTHlZq20sbFBs2bNMGfOHKxcuRIrV67EJ598gpUrV2LVqlVYvXo1pk2bZrGUV1VCXAcHB1y5cgU8zyM/Px+jRo0qtzF2dnb4+eefy911M8bw8OFDg/IquLi44Pz586Ll8DyPCxcuYMGCBfjhhx8EJnQad5XMzEwdL15jcPv2bXh6euq0SS6XY9++fYJrVSqVaMbIjh07CvKn8TyPefPmCa7lOA7z5s0zK2dFYmJipQYR1LwM9vb2sLe3h52dnUFpaw2FyZuzVq1a4eOPP0b//v0rNGjp1asXCgoKKqyDMYYrV67A29u73PK8vLzw4MEDgztZtvx///0XHTp0QP369dGuXTucOXPGaDVWYmKiQO3GcZwgLhZjDFFRUaLqIKlUqtWGaK49e/Ys6tSpI7i2a9euJluPaco+fPhwpQTKI3pm4ffOO+8gPDwcjx49QmJiImJjYxEaGoqhQ4eWq282FJWiDtu4caPBMxtjDDt27Ch3kKVSKTZt2mT0bFlSUqLjNkP0LDSnsW4kFy9eFHUY9Pf3R0xMDNRqtfaAIjg4WG8/unXrhlu3bqGwsBD79+9H27ZtRWetnTt3mmw0r/HS1SyfrC1t27ZFVFSUXguxwsJCrFq1Sq81m6GoFOL+8MMPBjcIeObPNG3atHLXu76+vrh48aLoZkIf7t27J2qju3TpUoNN+xhj+OKLL0TbxHEcfHx8MG/ePCxcuBB+fn4Vrtnr1auHpk2b6l1/1q9f3+hE0xqnxl27dqFXr15Ws5Z7XhwcHHD58uUKX7KSkhKBF8h/BXE1m7ahQ4eWW66Hhwdee+017NixA3v27MHevXtx5swZvWvBnJwcdO3aVVDOsGHDDDqgYIwhOTkZLVu2rBQiEBE6deokWGY971pU1r1IpVLhr7/+Qp8+faweEO95eeONN/Seoj2PXbt2ia55DYVJ1mGmAGXcZyoCx3Hk6OhIM2bMoKNHj+q9LiMjg/bu3Ut79+7V/s3JyYnmzZtHS5YsERjcODs70/DhwykiIkKrX+Q4joKCggw2UFm3bh3dvXvXoGstgZycHOJ5Xkcfeu/ePfrzzz/p4MGDpFQqqUOHDtSrVy/Kzc2lffv2UVRUVKXnX5PL5fTKK6+QQqGo8Fr8nzklzNHxGspwMuNN/O6774xao2lmj++++86k+ho0aKB381ZYWIgVK1bA398fXl5eGD9+vEERVBhj+Oeff6wWT0ufyOVyzJ8/H6dPn8bx48cxb948i4XKt6S0bdvWYHcdpVKpd+1vKCqFuMuWLTM4YfStW7dw8uRJzJ4922T1TbNmzZCcnFxuPWlpaYiNjTXYzUSlUgk2dpUpNjY2BqmTqkLc3NyMyhdx69YtvcfUhqJSiNuzZ88K1z4ZGRmYMWOGQD9qygMODQ21qJmeqbOtm5sbevToodfUsrKE4zitLtXSZUulUixfvtzgCYAxJhrU21jiVsoaNyUlpVyjc8YY/fDDD/Ttt9+avO6RSCT04osv0oIFC/S6t5uDK1euGLVutLOzo82bN9PIkSMpLi6OQkJC6Nq1azrXODk50dChQ2nMmDG0Y8cO+v33303uf8uWLaljx440duxYQX5iiURCDg4OxBijhw8f0vLly+n+/fsm1fM87Ozs6OWXXxa1ERFDYmIi/fbbb+ZXbCjDyYy30sHBAX/++afeWVCpVKJ169Ymzyb+/v7Yu3cvcnNzrWIQrVQqjc5GXr9+fW2YfMae5Wx48cUXtb/XqVMHe/fu1arzsrOz0a1bN6Pr6NWrF37++WekpqbqtTEoC80hT926dS02m0+fPh3Z2dkVjmNRURFmzJhRbnmGotLscbt164Y7d+6IrnVLSkrQokULk8odPHgwUlJSDCYsz/NIS0vDjRs3EB0djRs3biAjI0Pv/TzPY//+/VozPjc3N6xYsQKHDh3Cli1b9Cr2vb29dfI7aNy4P/zwQ7z77ru4cOGC4JRNnxdzWfH09ERISAgOHDigHU9jX1alUomZM2dahLhEz5YLffr0wW+//Yb4+Hit5wpjz9JbPX36FNevX8c777xT4emdoahUQ/JGjRrho48+wt27d7UKf80xrNhRZ0Xi7Oys161aY3wSFxeHyMhIfPnll3jjjTcwZswYvPjii1AoFJBIJJDL5ejUqRM++OAD3L59W6sD5nkeDx8+xJo1a7Rtc3Z2xuHDh3Vms127dokeMri4uODu3buCNmn0r2JtHjt2rN6+2tjYYNKkSbh+/bpJZH2+HZcuXTLZjlefcBwHT09PDBs2DGPHjsXYsWMxatQodO3a1WCLMkNR6R4QHMfBzc0Nb775Jk6ePImjR4+iZ8+eJpXVv39/QbhNzeHFkSNHMHLkSLi4uEAqlRpkdebs7IwxY8Zg4sSJeOONN9C4cWOd+/r27Ss4qLh27ZresidPnmxwONCCggL07t1bdDZr06YN9uzZg+LiYosthYqLizFy5EiLEtcSYiiq1HVHJpOZHHHGwcEBu3fv1nmQPM/jypUrCA4OtopBiSbwiAaMMaxbt07v9QqFAm+//Tbu3LmD3Nxc0dxljD0LGfV8ilh7e3sEBQXhxx9/RE5OjsXX7owxXL16FY0bN65ysppCXKtn3TEXMpmMRo0aRT169CClUklRUVGkVqtp+PDhNHr0aK13A2OMfvvtN5o2bZrVAltwHEfLli2jDz74gKRSKV29epUmTpxYbtJnjuPI3t6eunTpQs2aNSO5XE4SiYRkMhnJ5XIqLS2l6OhoOn/+vNaDokmTJvTFF1/QoEGDyNbW1mpjD4AiIiLozTffpLi4uCrLxPN8mwy90CBQFb2B7dq10wmpX1paKkjMofFKKJti1Voik8nQq1cvDB48uFzDbHPKN9UazBQwxpCQkIC3337bJPf28sTW1hYeHh5wd3c3+AtoKKo9cbt27VrhQywtLcWkSZOqrI2WFD8/P6Snpxv8AA2FWq1Gamoq4uPj8fTpU0Ea1uLiYsyePdsip3MymQyDBg3C/v37kZqaipSUFOzcuRPvvfeeINPPfy1x/f39KwwEnJubW+3WaqaKr6+vUdlnDAFjDL/88gs8PT3h4uKCpk2bCvz1NO7kZd3iTRGO4zBhwgTtV7IsVCoV7ty5g8mTJ+s9xTMU1Z64crkcx44dK3fWzcnJqTRDaWuLVCrFDz/8IHpwUJG9sT5kZGQgICBApx43NzecOHFCsLk1xHWqPOnUqRMSExPLbU9paSmOHj2KCRMmwM3NDQ4ODloxFNWeuETP7GXL87fKyckROCPWZPH19cXevXuRn5+PwsJCXLhwARs2bMD69etx/Phxo+PPPn78WNRzOCgoSHv4otk/PE9wY8Tf3x/Xr1836OXS6NlTUlKQlJSkFUNRI4irUCiwatUq0cRzGrVOZTsCWltsbW3h4+MDHx8fnYMCFxcXgRqwIqjVarzzzjuCOjiOw9ChQ3H69GncvXsX8+fPN0mNaGtri5CQECQkJFTaprJGEJfo2cnR0qVLkZGRoT050kRMEfMydnJywsiRIzFp0iSEhIRg4MCBcHZ21uqOpVJptTUTrEg6depkdD64W7du6V1OOTs7w8vLy6Tx8PPzwy+//GKxEFeGwmA9bllvAmbBrOfGQCqVUrNmzWjMmDH0wgsv0L1792j37t2UkJCg0yY3NzfauXMnDRgwQOvZUFhYSE+ePCGVSqUNKHz9+nWKiIigvLw8un79Ot27d69a6DIrgo2NDd2+fZuaNm1q8D08z9P69etp0aJFpFarLdIOe3t7+uWXXyg4OFhv3GCrwVCGR0dHIzo6GpcvX8aHH34o6pFaXWT06NFGrQMZY0hKSsKqVasqzYXbHJHJZDh8+LCxkxSePHlSoeu/MeLp6WmQVZi+MX/eb86YMAEm54BISkoyewdqLQkJCTFpraVUKjF79uxKyelmrkybNs3oPhYVFVnUPsHJyQnHjx83KhecBk+fPsX06dPRqVMndOzYEZ07d0a3bt0Mvt8k4gL//7SqsuLlGiNDhgxBUVGRSf2Ki4sz2VZVLpejW7duGDhwIDp37mzxk6iy0rNnT6Nnu/T0dNFoluaIh4cHevfujdWrV+P48ePIzMyskMCMiSfYJrKCHlcMKpUKL7/8cpUT9Xmxs7PDmTNnTOpTSUkJRo8eLVpuYGAgfvvtN4SGhgq0GHZ2dvj666+1sdFycnKwYsUKq7mIy+VyXL582eB+qdVqfPbZZ1Z9mTiOQ+fOnXHlypVy21JUVISXXnqp6ojLGMOpU6eq5aw7dOhQg8I+ifUpNDRUUJ5MJsPZs2e1n8TPP/9c5/dXX31VoGsuLCzEwIEDrdbH9957z2CdaXh4uNn+fIbKoEGDyj3tLCkpweDBg80irllbQY7jqH///rRlyxZq3769SckzrIVjx47RgQMHjNYSaFJ3Pt8XHx8faty4sTa9Z/fu3XV+Dw4OFvhd2dnZ0aBBg6xm3XX+/PkKLeEYY3TmzBmaNGkSpaWlWaUdz+PUqVMUHh6ud+yVSqX5Kb0Mpng5b7Pm0/jXX39h2bJl8PHxqfIZl+jZCdT9+/eN7tPJkycFHr2enp46Hg0HDx7U+X379u2is19kZKTVDkekUqneqJXAM2Px8tyLrClt27ZFWFgYoqOjcf36daSkpIDneSiVSvzxxx96PSIMhcFX3rp1C7du3SrXv0tD4tjYWPj7+1c5cYmexQV7vr0lJSU4c+YMNmzYgOjoaJ2NHGMMW7ZsEawFOY7Dd999p41F+7zz5LRp00TjjxUUFFhVdfjaa6+huLhY8Bzi4uIwdepUq65pxUQmk6F+/fqwt7fXHvTI5XK0atUKI0eOxPDhw8s1PzUUBl8plUohk8nQsmVLfPjhh+UaUmii0FQHtVJAQIDglGnTpk2wsbEBx3Gws7PD6NGjceHCBTx8+BA3btzQm17U2dkZw4cPF02Q0rJlS9HYERq/tLKaCnd3d3Tp0gWhoaH46aefMHfuXPj5+Zl0ciWTyTBv3jzcu3cP9+/fR0xMDJYvX27yV08TuC8gIACtWrUyOBaDk5MTxo0bhwMHDiAmJgarV682aWNqceI+37muXbuKZoHRICIiolKIK5VK4eXlpTcioUQiwYULF3SINGLECMF1crkcnp6eJkc29PX11XsMq1KpcPbsWXz33XfYunUroqKiUFpaqtV/qtVqpKenY82aNSbVrwn4UadOHSgUCpPHneM4hISE4PHjxygtLUVRURG++eabCgno6emJ33//Xce7NycnxyQTSasSV0OI8iLG7N271+rE9fb2xpYtW/DgwQMcOXJEJ/18WQkPD9e2i+d5DBs2zOJtqVu3LiIjI/WOnyFmiWq1Ghs3bqwyG4quXbsKjNjz8vLQo0cPvffY29vjyJEjgn7xPC8aid1SxDVZq8AYo7Nnz+rNQGNOVBZD4OTkRDt27KBp06aRr68vvfLKK7R582Zyc3MTXPvkyRPtvzmOs8q5OmNM71ho6tWIPkilUho9ejS1bdvW4u2rCBzH0YQJE8jd3V3n746OjuWmSg0KCqK+ffsK+qXJL2wtmPUEY2NjdXLdloW1MphrUKdOHercubNOzty2bduSi4uL4NqsrCyd/1tDPSWVSi2SlqpevXrUpk0bC7TIOEgkEgoKChIlYHlqzh49epC9vb3g79aaILTlw5rTYi1qYSVUsi1aLWphGdQStxY1ErXErUWNRC1xa1EjUUvcWtRI1BK3FjUStcStRY1ELXFrUSNRS9xa1Ej8P1I7BU8xI7H8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 49\n",
      "\tJ = -7.1753e-01\n",
      "\tbeta = 49.00\n",
      "\tgrad_norm = 5.8642e-02\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step = 50\n",
      "\tJ = -7.1261e-01\n",
      "\tbeta = 50.00\n",
      "\tgrad_norm = 7.0499e-02\n"
     ]
    }
   ],
   "source": [
    "from tidy3d.plugins.autograd import adam, apply_updates\n",
    "\n",
    "# hyperparameters\n",
    "num_steps = 50\n",
    "learning_rate = 0.1\n",
    "beta_min = 1\n",
    "beta_max = 50\n",
    "\n",
    "# initialize adam optimizer with starting parameters\n",
    "params = 0.5 * np.ones_like(params0)\n",
    "\n",
    "optimizer = adam(learning_rate=learning_rate)\n",
    "opt_state = optimizer.init(params)\n",
    "\n",
    "# store history\n",
    "Js = []\n",
    "params_history = [np.array(params)]\n",
    "data_history = []\n",
    "beta_history = []\n",
    "\n",
    "for i in range(num_steps):\n",
    "    perc_done = i / (num_steps - 1)\n",
    "\n",
    "    # in case we want to change parameters over the optimization procedure\n",
    "\n",
    "    one_third = 1.0 / 3.0\n",
    "    # metric = 0.00\n",
    "\n",
    "    penalty_weight = 1.0\n",
    "    leak_weight = 0.0 if perc_done < one_third else 1.0\n",
    "    beta_i = beta_min * (1 - perc_done) + beta_max * perc_done\n",
    "\n",
    "    # make a plot of density to check on progress\n",
    "    density = get_density(params, beta_i)\n",
    "    plt.subplots(figsize=(2, 2))\n",
    "    plt.imshow(np.flipud(1 - density.T), cmap=\"gray\", vmin=0, vmax=1)\n",
    "    plt.axis(\"off\")\n",
    "    plt.show()\n",
    "\n",
    "    # compute gradient and current objective function value\n",
    "    value, gradient = grad_fn(\n",
    "        params, beta=beta_i, penalty_weight=penalty_weight, leak_weight=leak_weight\n",
    "    )\n",
    "\n",
    "    # outputs\n",
    "    print(f\"step = {i + 1}\")\n",
    "    print(f\"\\tJ = {value:.4e}\")\n",
    "    print(f\"\\tbeta = {beta_i:.2f}\")\n",
    "    print(f\"\\tgrad_norm = {np.linalg.norm(gradient):.4e}\")\n",
    "\n",
    "    # compute and apply updates to the optimizer based on gradient (-1 sign to maximize obj_fn)\n",
    "    updates, opt_state = optimizer.update(-gradient, opt_state, params)\n",
    "    params[:] = apply_updates(params, updates)\n",
    "\n",
    "    # keep params between 0 and 1\n",
    "    np.clip(params, 0.0, 1.0, out=params)\n",
    "\n",
    "    # save history\n",
    "    Js.append(value)\n",
    "    params_history.append(params.copy())\n",
    "    beta_history.append(beta_i)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f082a060-208d-4678-8c60-9701db55faad",
   "metadata": {},
   "source": [
    "## Visualize Results\n",
    "\n",
    "Let's visualize the results of our optimization.\n",
    "\n",
    "### Objective function vs Iteration\n",
    "\n",
    "First we inspect the objective function value as a function of optimization iteration number. We see that it steadily increases as expected. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a3f9509b-2448-4505-a013-c2fd26b36052",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:36:48.165476Z",
     "start_time": "2026-03-16T15:36:48.098604Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(Js)\n",
    "plt.xlabel(\"iteration number\")\n",
    "plt.ylabel(\"objective function\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9b97d20-1e6b-4b4c-9f35-fc3c21903e24",
   "metadata": {},
   "source": [
    "### Final Simulation\n",
    "\n",
    "Let's take a look at the final simulation, which we grab from our history."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a20e8905-5699-47c8-8a97-26db6f5935c6",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:36:48.454111Z",
     "start_time": "2026-03-16T15:36:48.177355Z"
    }
   },
   "outputs": [],
   "source": [
    "# we'll sample the modes at a finer frequency resolution for this final evaluation, for smoother plots\n",
    "\n",
    "num_freqs_measure = 151\n",
    "freqs_measure = np.linspace(freq_min - df_design, freq_max + df_design, num_freqs_measure)\n",
    "\n",
    "sim_final = get_sim(params_history[-1], beta=beta_history[-1])\n",
    "\n",
    "for i in range(num_freqs_design):\n",
    "    sim_final = sim_final.updated_copy(freqs=freqs_measure, path=f\"monitors/{i}\")\n",
    "    sim_final = sim_final.updated_copy(freqs=freqs_measure, path=f\"monitors/{i + num_freqs_design}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "464a8789-b539-49e1-b702-73d0bdd4df32",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:36:48.669084Z",
     "start_time": "2026-03-16T15:36:48.457193Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim_final.plot_eps(z=0.01, monitor_alpha=0, source_alpha=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "d6ad06b0-b071-4c7c-9807-430795ab42bc",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:36:48.703259Z",
     "start_time": "2026-03-16T15:36:48.690496Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.15197641811046067\n"
     ]
    }
   ],
   "source": [
    "penalty_value_final = penalty(params_history[-1])\n",
    "print(penalty_value_final)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "6d843652-60c2-4279-acc2-ea2d019b3938",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:37:55.117994Z",
     "start_time": "2026-03-16T15:36:48.744847Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:36:49 CET </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'wdm_final'</span> with resource_id                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:36:49 CET\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'wdm_final'\u001b[0m with resource_id                          \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">b-49c9-82fd-1727fc95a64b'</span></a>.                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=505553;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=192263;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=505553;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=442666;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=505553;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32m-b9d8af00-9c5\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=505553;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[32mb-49c9-82fd-1727fc95a64b'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=454889;https://tidy3d.simulation.cloud/folders/folder-df61810d-cad6-4474-8ea9-e4f00d5dfcb0\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "acb1a3bfbb0f43e4aca0d20bb5105f53",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:36:59 CET </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.100</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:36:59 CET\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.100\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:01 CET </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:01 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or              \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.      \n",
       "\u001b[2;36m             \u001b[0mTerminating the Python script will not stop the job running on the \n",
       "\u001b[2;36m             \u001b[0mcloud.                                                             \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "437c7770acd04e1ca4d37ffcf7d47c85",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:08 CET </span>status = preprocess                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:08 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:13 CET </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:13 CET\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "02e1d99631c943e99064015dd54e3d4a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:28 CET </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">14</span>%, exiting.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:28 CET\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m14\u001b[0m%, exiting.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e507446b878947269bedf03d39ad35ff",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:34 CET </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:34 CET\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:36 CET </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">b-49c9-82fd-1727fc95a64b'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:36 CET\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=702988;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=997078;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=702988;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=263018;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=702988;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34m-b9d8af00-9c5\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=702988;https://tidy3d.simulation.cloud/workbench?taskId=fdve-b9d8af00-9c5b-49c9-82fd-1727fc95a64b\u001b\\\u001b[4;34mb-49c9-82fd-1727fc95a64b'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9eade46ae93247fd97606668b0e473e8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">16:37:55 CET </span>Loading results from simulation_data.hdf5                          \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:55 CET\u001b[0m\u001b[2;36m \u001b[0mLoading results from simulation_data.hdf5                          \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_final = web.run(sim_final, task_name=\"wdm_final\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d13065bd-e796-485f-8a18-1a55f0ebf2bd",
   "metadata": {},
   "source": [
    "### Flux\n",
    "\n",
    "Let's inspect the flux over each of the output ports as a function of wavelength.\n",
    "\n",
    "We notice that the ports have peaks in transmission at their corresponding design wavelengths, and are suppressed at the other wavelengths, as expected!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "14162970-0b19-4f56-bd64-3b4d4221c499",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:37:55.225583Z",
     "start_time": "2026-03-16T15:37:55.141117Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(num_freqs_design):\n",
    "    freq = freqs_design[i]\n",
    "    flux_data = sim_data_final[mnts_flux[i].name]\n",
    "    wvl_nm = 1000 * td.C_0 / freq\n",
    "    wavelengths_nm = 1000 * td.C_0 / np.array(flux_data.flux.f)\n",
    "    flux = np.array(flux_data.flux.values)\n",
    "    loss_db = 10 * np.log10(flux)\n",
    "    label = f\"channel @ {int(wvl_nm)} nm\"\n",
    "    fmin, fmax = channel_bounds[i]\n",
    "    plt.gca().axvspan(1000 * td.C_0 / fmin, 1000 * td.C_0 / fmax, alpha=0.2)\n",
    "    plt.plot(wavelengths_nm, loss_db, label=label)\n",
    "    plt.scatter([wvl_nm], [0], 100, marker=\"*\")\n",
    "    plt.xlabel(\"wavelength (nm)\")\n",
    "    plt.ylabel(\"insertion loss (dB)\")\n",
    "    plt.legend()\n",
    "    plt.grid(\"on\")\n",
    "plt.title(\"total flux\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8292b4ef-e18e-4356-bb0f-ae3ea28ff460",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:37:55.301389Z",
     "start_time": "2026-03-16T15:37:55.229563Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(num_freqs_design):\n",
    "    freq = freqs_design[i]\n",
    "    amps = sim_data_final[mnts_mode[i].name].amps\n",
    "    powers = np.abs(amps.sel(direction=\"+\", mode_index=0)) ** 2\n",
    "    wvl_nm = 1000 * td.C_0 / freq\n",
    "    wavelengths_nm = 1000 * td.C_0 / np.array(flux_data.flux.f)\n",
    "    flux = np.array(powers.values)\n",
    "    loss_db = 10 * np.log10(flux)\n",
    "    label = f\"channel @ {int(wvl_nm)} nm\"\n",
    "    fmin, fmax = channel_bounds[i]\n",
    "    plt.gca().axvspan(1000 * td.C_0 / fmin, 1000 * td.C_0 / fmax, alpha=0.2)\n",
    "    plt.plot(wavelengths_nm, loss_db, label=label)\n",
    "    plt.scatter([wvl_nm], [0], 100, marker=\"*\")\n",
    "    plt.xlabel(\"wavelength (nm)\")\n",
    "    plt.ylabel(\"insertion loss (dB)\")\n",
    "    plt.legend()\n",
    "    plt.grid(\"on\")\n",
    "plt.title(\"power at mode_index=0\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5423e5c7-5e00-4a8f-b0fd-ccdbe1afc42c",
   "metadata": {},
   "source": [
    "### Fields\n",
    "\n",
    "Let's also plot the field intensity patterns at each of the design wavelengths. \n",
    "\n",
    "We see from this plot the expected result that the power is directed to the design port at each frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "3f5c895a-4543-4e2a-b34d-3aeab61c5914",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:37:57.102642Z",
     "start_time": "2026-03-16T15:37:55.305522Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1500x320 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot fields at the two design wavelengths\n",
    "\n",
    "fig, axes = plt.subplots(\n",
    "    1, num_freqs_design, tight_layout=True, figsize=(15, 0.8 * num_freqs_design)\n",
    ")\n",
    "\n",
    "for freq, ax in zip(freqs_design, axes):\n",
    "    sim_data_final.plot_field(\"field\", \"E\", \"abs^2\", f=freq, ax=ax, vmax=1200)\n",
    "    wvl = 1000 * td.C_0 / freq\n",
    "    ax.set_title(f\"wavelength = {int(wvl)} nm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5997d513-a66e-44b6-81ce-ce7b7d59762a",
   "metadata": {},
   "source": [
    "### Animation\n",
    "\n",
    "Finally, we animate this plot as a function of iteration number. The animation shows the device quickly accomplishing our design objective.\n",
    "\n",
    "> Note: can take a few minutes to complete"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "2cb45408-ffe0-4406-92e2-c2c4c79d8750",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:37:57.181744Z",
     "start_time": "2026-03-16T15:37:57.156631Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML\n",
    "\n",
    "fig, ax1 = fig, axes = plt.subplots(1, 1, tight_layout=False, figsize=(9, 4))\n",
    "\n",
    "\n",
    "def animate(i):\n",
    "    sim_i = get_sim(params_history[i], beta_history[i])\n",
    "    sim_i.plot_eps(z=0.01, monitor_alpha=0, source_alpha=0, ax=ax1)\n",
    "    ax1.set_aspect(\"equal\")\n",
    "\n",
    "\n",
    "# create animation\n",
    "ani = animation.FuncAnimation(fig, animate, frames=len(beta_history))\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "fc5bd204-d290-42bf-b3bc-187ce4ffa026",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:39:31.174977Z",
     "start_time": "2026-03-16T15:37:57.201787Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img08a5f887ab39444fad184bc32df3df11\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider08a5f887ab39444fad184bc32df3df11\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim08a5f887ab39444fad184bc32df3df11.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim08a5f887ab39444fad184bc32df3df11.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select08a5f887ab39444fad184bc32df3df11\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_08a5f887ab39444fad184bc32df3df11\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_08a5f887ab39444fad184bc32df3df11\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_08a5f887ab39444fad184bc32df3df11\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_08a5f887ab39444fad184bc32df3df11\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_08a5f887ab39444fad184bc32df3df11\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_08a5f887ab39444fad184bc32df3df11\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img08a5f887ab39444fad184bc32df3df11\";\n",
       "    var slider_id = \"_anim_slider08a5f887ab39444fad184bc32df3df11\";\n",
       "    var loop_select_id = \"_anim_loop_select08a5f887ab39444fad184bc32df3df11\";\n",
       "    var frames = new Array(50);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAahZJREFUeJzt3XmYFNXB/v2792EdEHGYERBEFBcQRUDcMMojJkTFBQ2KuBC3\\\n",
       "gIq8cUsUFI0kGtco8jNuUVGQPBFiNEYEARWEsKhRkRhFRWBAVAbD0mu9f/B0M93TS/VS3dNd3891\\\n",
       "9RWm6pyqU11Czj3n1CmHYRiGAAAAAAC24yx1AwAAAAAApUEgBAAAAACbIhACAAAAgE0RCAEAAADA\\\n",
       "pgiEAAAAAGBTBEIAAAAAsCkCIQAAAADYFIEQAAAAAGyKQAgAAAAANkUgBAAAAACbIhACAAAAgE0R\\\n",
       "CAEAAADApgiEAAAAAGBTBEIAAAAAsCkCIQAgJwsWLJDD4dCCBQtK3RQU2LJly+T1evXll18W/dzf\\\n",
       "fvutWrVqpVdffbXo5wYAOyIQAgDSmjp1qp5++ulSNyMnzz//vB544IFSN0OSFIlEdPfdd6t79+6q\\\n",
       "qqpSnz599MILL5iuv3XrVl1++eXq2LGjWrVqpR/96EdauXJlk3IzZ87UqFGj1LNnTzkcDp144olZ\\\n",
       "t/XXv/61Ro4cqf322y/ruvnq0KGDfv7zn+vWW28t+rkBwI4chmEYpW4EAKD5Ouyww7T33ns3GQmM\\\n",
       "RCIKBALyer1yOpvn7xd/+tOf6sMPP9QXX3xR6qbo5ptv1m9/+1tddtll6t+/v+bMmaNXXnlFL7zw\\\n",
       "gn72s5+lrRuJRHT88cfr/fff1/XXX6+9995bU6dO1bp167RixQr17NkzVvbEE0/UihUr1L9/f733\\\n",
       "3nvq06dPVqO47733no444ggtXrxYgwYNyvVy87J69Wodcsghmjdvnk466aSStAEA7IJACAAmbN++\\\n",
       "Xa1atSp1M0oiVSAsB80lEK5fv17du3fX5ZdfrocffliSZBiGBg8erLVr1+qLL76Qy+VKWf/FF1/U\\\n",
       "eeedp1mzZumcc86RJH3zzTc68MAD9eMf/1jPP/98rOy6deu07777yul05nTvrr32Ws2ePVtffPGF\\\n",
       "HA5HbhdcAL1799YRRxyhZ555pmRtAAA7aJ6/0gUAC61fv15jxoxRXV2dfD6funfvrquuukqBQECS\\\n",
       "9PTTT8vhcGjhwoX6xS9+oX322UedO3eO1Z86daoOPfRQ+Xw+1dXVaezYsdq6dWvcOT799FOdffbZ\\\n",
       "6tSpk6qqqtS5c2f97Gc/U0NDQ6zM3Llzddxxx6ldu3Zq3bq1DjroIP3qV7/K2H4z9fx+vyZNmqQD\\\n",
       "DjhAPp9PXbp00Q033CC/39/keM8995wGDBigli1bqn379jrhhBP0+uuvS5K6deumjz76SAsXLpTD\\\n",
       "4YibgpjqGcJZs2apX79+atGihfbee2+NGjVK69evjytz8cUXq3Xr1lq/fr2GDx+u1q1bq2PHjvrl\\\n",
       "L3+pcDic8TuYM2eOhg0bFruHPXr00B133BFX98QTT9Qrr7yiL7/8Mtb2bt26pTzmxRdfHCuX+Lnt\\\n",
       "ttsytilTe4PBoH7xi1/EtjkcDl111VX6+uuvtWTJkrT1//znP6umpkZnnXVWbFvHjh117rnnas6c\\\n",
       "OXH3tUuXLnmN2M6ePVsnnXRSkzCY6nvo1q2bLr744tjP0b8/b7/9tq655hp17NhR7dq10xVXXKFA\\\n",
       "IKCtW7dq9OjRat++vdq3b68bbrhByX43/T//8z96+eWXk+4DABSOu9QNAIBi2rBhgwYMGBB7HqtX\\\n",
       "r15av369/vznP2vHjh3yer2xsr/4xS/UsWNHTZw4Udu3b5ck3Xbbbbr99ts1ZMgQXXXVVVqzZo0e\\\n",
       "ffRR/fOf/9Q777wjj8ejQCCgoUOHyu/36+qrr1anTp20fv16/e1vf9PWrVtVXV2tjz76SD/96U/V\\\n",
       "p08fTZ48WT6fT//5z3/0zjvvpG2/mXqRSESnn3663n77bV1++eU6+OCD9a9//Uv333+//v3vf2v2\\\n",
       "7Nmxsrfffrtuu+02HXPMMZo8ebK8Xq+WLl2q+fPn65RTTtEDDzygq6++Wq1bt9avf/1rSVJNTU3K\\\n",
       "9j399NO65JJL1L9/f02ZMkWbNm3Sgw8+qHfeeUerVq1Su3btYmXD4bCGDh2qgQMH6ve//73eeOMN\\\n",
       "3XvvverRo4euuuqqtN/D008/rdatW2vChAlq3bq15s+fr4kTJ2rbtm265557JO1+Dq6hoUFff/21\\\n",
       "7r//fklS69atUx7ziiuu0JAhQ+K2vfbaa5o+fbr22Wef2LYtW7akbVtUmzZt5PP5JEmrVq1Sq1at\\\n",
       "dPDBB8eVGTBgQGz/cccdl/JYq1at0pFHHtkk6A0YMECPPfaY/v3vf6t3796m2pXO+vXr9dVXX+nI\\\n",
       "I4/M+1jR//Zvv/12vfvuu3rsscfUrl07LV68WF27dtVdd92lV199Vffcc48OO+wwjR49Oq5+v379\\\n",
       "dP/99+ujjz7SYYcdlnd7AAApGABgI6NHjzacTqfxz3/+s8m+SCRiGIZhPPXUU4Yk47jjjjNCoVBs\\\n",
       "/+bNmw2v12uccsopRjgcjm1/+OGHDUnGk08+aRiGYaxatcqQZMyaNStlO+6//35DkvHNN99k1X4z\\\n",
       "9Z599lnD6XQab731Vtz2adOmGZKMd955xzAMw/j0008Np9NpnHnmmXHXYxh7vgvDMIxDDz3UGDx4\\\n",
       "cJPzvPnmm4Yk48033zQMwzACgYCxzz77GIcddpixc+fOWLm//e1vhiRj4sSJsW0XXXSRIcmYPHly\\\n",
       "3DGPOOIIo1+/fum/BMMwduzY0WTbFVdcYbRs2dLYtWtXbNuwYcOM/fbbL+Pxkvn000+N6upq43/+\\\n",
       "53/i/juQZOrz1FNPxbVj//33b3KO7du3G5KMm266KW1bWrVqZVx66aVNtr/yyiuGJOO1115LWi/V\\\n",
       "vUvljTfeMCQZL7/8cpN9koxJkyY12b7ffvsZF110Uezn6N+foUOHxv13NGjQIMPhcBhXXnllbFso\\\n",
       "FDI6d+6ctI2LFy82JBkzZ8403X4AQPaYMgrANiKRiGbPnq3TTjtNRx11VJP9iVPkLrvssrjnut54\\\n",
       "4w0FAgGNHz8+bqTmsssuU9u2bfXKK69IkqqrqyVJ//jHP7Rjx46kbYmOlM2ZM0eRSMT0NZipN2vW\\\n",
       "LB188MHq1auXtmzZEvtEF+d48803Je2eGhiJRDRx4sQmI0+5PDu2fPlybd68Wb/4xS9UVVUV2z5s\\\n",
       "2DD16tUr9v00duWVV8b9fPzxx+vzzz/PeK4WLVrE/vzDDz9oy5YtOv7447Vjxw598sknWbc90fbt\\\n",
       "23XmmWeqffv2euGFF+L+O5g7d66pz9ChQ2N1du7cGRstbCz6Pe3cuTNte/Ktb9a3334rSWrfvn3e\\\n",
       "xxozZkzcf0cDBw6UYRgaM2ZMbJvL5dJRRx2V9J5H22B2RBYAkBumjAKwjW+++Ubbtm0zPf2se/fu\\\n",
       "cT9H38l20EEHxW33er3af//9Y/u7d++uCRMm6L777tP06dN1/PHH6/TTT9eoUaNiYfG8887T448/\\\n",
       "rp///Oe66aabdPLJJ+uss87SOeeck/b5LzP1Pv30U61evVodO3ZMeozNmzdLkj777DM5nU4dcsgh\\\n",
       "pr6PTFJ9P5LUq1cvvf3223HbqqqqmrSxffv2+v777zOe66OPPtItt9yi+fPna9u2bXH7Gj+nmavL\\\n",
       "LrtMn332mRYvXqwOHTrE7UucVmpGixYtkj6/uWvXrth+K+tnyyjAc3tdu3aN+zn6336XLl2abE92\\\n",
       "z6NtKOXCNgBgBwRCAEghn072vffeq4svvlhz5szR66+/rmuuuUZTpkzRu+++q86dO6tFixZatGiR\\\n",
       "3nzzTb3yyit67bXXNHPmTJ100kl6/fXXU644aaZeJBJR7969dd999yU9RmKHvFTSraqZztatWzV4\\\n",
       "8GC1bdtWkydPVo8ePVRVVaWVK1fqxhtvzGrENZkHH3xQL7zwgp577jn17du3yf76+npTx6muro79\\\n",
       "N1RbW6s333xThmHEBZyNGzdKkurq6tIeq7a2Nla2MbP1zYqGXzOhPCpVeEx1f5NtT3aMaBv23ntv\\\n",
       "020BAGSPKaMAbKNjx45q27atPvzww5zqR1/SvWbNmrjtgUBAa9eubfIS7969e+uWW27RokWL9NZb\\\n",
       "b2n9+vWaNm1abL/T6dTJJ5+s++67Tx9//LF+85vfaP78+bEpnalkqtejRw999913OvnkkzVkyJAm\\\n",
       "n+gIXo8ePRSJRPTxxx+nPZ/ZEZpU3090W6Fecr5gwQJ9++23evrpp3Xttdfqpz/9qYYMGZJ0mmO2\\\n",
       "o0tvvfWWfvnLX2r8+PG64IILkpapra019Zk5c2asTt++fbVjxw6tXr067lhLly6N7U+nb9++Wrly\\\n",
       "ZZOwu3TpUrVs2VIHHnhgVteZSq9evSRJa9euTbr/hx9+aLItOuJcaNE2JC7EAwAoLAIhANtwOp0a\\\n",
       "Pny4Xn75ZS1fvrzJ/kzT5IYMGSKv16uHHnooruwTTzyhhoYGDRs2TJK0bds2hUKhuLq9e/eW0+mM\\\n",
       "Tfv77rvvmhw/GgqSTQ2MMlPv3HPP1fr16/XHP/6xSdmdO3fGVkwdPny4nE6nJk+e3CRoNL6+Vq1a\\\n",
       "NXmtRjJHHXWU9tlnH02bNi3uGv7+979r9erVse8nX9ERpsZtDAQCmjp1apOyrVq1Mj2FdOPGjTr3\\\n",
       "3HN13HHHxVYqTSaXZwjPOOMMeTyeuDYahqFp06Zp33331THHHBPXjk8++UTBYDC27ZxzztGmTZv0\\\n",
       "l7/8JbZty5YtmjVrlk477bSkzxfmYt9991WXLl2S/v2Q1OQVI3//+9+1a9cuS14NsWLFClVXV+vQ\\\n",
       "Qw8t+LEBAHswZRSArdx11116/fXXNXjw4NgrGTZu3KhZs2bp7bffjnstQqKOHTvq5ptv1u23365T\\\n",
       "Tz1Vp59+utasWaOpU6eqf//+GjVqlCRp/vz5GjdunEaMGKEDDzxQoVBIzz77rFwul84++2xJ0uTJ\\\n",
       "k7Vo0SINGzZM++23nzZv3qypU6eqc+fOaV8/YKbehRdeqBdffFFXXnml3nzzTR177LEKh8P65JNP\\\n",
       "9OKLL+of//iHjjrqKB1wwAH69a9/rTvuuEPHH3+8zjrrLPl8Pv3zn/9UXV2dpkyZImn38v+PPvqo\\\n",
       "7rzzTh1wwAHaZ599YgvUNObxePS73/1Ol1xyiQYPHqyRI0fGXjvRrVs3XXfddbnetjjHHHOM2rdv\\\n",
       "r4suukjXXHONHA6Hnn322aShpF+/fpo5c6YmTJig/v37q3Xr1jrttNOSHveaa67RN998oxtuuEEz\\\n",
       "ZsyI29enTx/16dNHUm7PEHbu3Fnjx4/XPffco2AwqP79+2v27Nl66623NH369LhplDfffLP+9Kc/\\\n",
       "ae3atbH3Jp5zzjk6+uijdckll+jjjz/W3nvvralTpyocDuv222+PO9eiRYu0aNEiSbufm92+fbvu\\\n",
       "vPNOSdIJJ5ygE044IW1bzzjjDL300ktNprdK0urVq/WTn/xEp59+ujZs2KAHH3xQ1dXVWrx4sV54\\\n",
       "4QWNHDky6+8mlblz5+q0007jGUIAsFopljYFgFL68ssvjdGjRxsdO3Y0fD6fsf/++xtjx441/H6/\\\n",
       "YRh7ls1P9moKw9j9molevXoZHo/HqKmpMa666irj+++/j+3//PPPjUsvvdTo0aOHUVVVZey1117G\\\n",
       "j370I+ONN96IlZk3b55xxhlnGHV1dYbX6zXq6uqMkSNHGv/+97/Ttt1svUAgYPzud78zDj30UMPn\\\n",
       "8xnt27c3+vXrZ9x+++1GQ0NDXNknn3zSOOKII2LlBg8ebMydOze2v76+3hg2bJjRpk0bQ1LsFQGJ\\\n",
       "r52ImjlzZux4e+21l3HBBRcYX3/9dVyZiy66yGjVqlWT65s0aZJh5v+a3nnnHePoo482WrRoYdTV\\\n",
       "1Rk33HCD8Y9//KNJe/773/8a559/vtGuXTtDUtpXUAwePDjlKySSvW4hW+Fw2LjrrruM/fbbz/B6\\\n",
       "vcahhx5qPPfcc03KRV/JsXbt2rjt3333nTFmzBijQ4cORsuWLY3Bgwcn/W80+h3meh0rV640JDV5\\\n",
       "bYkkY8KECcaIESOMFi1aGLW1tcbDDz9sTJs2zWjZsqXx85//3DCM1H9/ou1KfGVKsv8WVq9ebUiK\\\n",
       "+zsDALCGwzAsmOcBAADK1sknn6y6ujo9++yzsW0Oh0OTJk3SbbfdZvn5x48fr0WLFmnFihWMEAKA\\\n",
       "xXiGEAAAxLnrrrs0c+bM2KtEiunbb7/V448/rjvvvJMwCABFwDOEAAAgzsCBAxUIBEpy7g4dOui/\\\n",
       "//1vSc4NAHbECCEAAAAA2BQjhAAAICOWHACAysQIIQAAAADYFIEQAAAAAGyKKaMAylIkEtGGDRvU\\\n",
       "pk0bViIEEMcwDP3www+qq6uT05n97763bt2a9cI2rVu3Vrt27bI+FwCUGoEQQFnasGGDHn/88Yzl\\\n",
       "QqFQzs8+uVwuSbvDZ7JjOJ1OORwOGYahSCSS0zkyyXQOh8MR6/CGw2FL2mDmHJm+q0Lgfpg/R6Xf\\\n",
       "D4fDIbc7fRfm9ttv17p169S5c+esjr1161a1b98+6zY5nU59++23hEIAZYdACKAstWnTRpIyjg62\\\n",
       "bNky6xFEwzAUDAYlSW63O+0IQygUUiQSkdPpzNhBzZbZY0ciEYVCIblcLnk8noKOmEaPLSntsaPf\\\n",
       "mcvlyvidZYv70fTYkr3vR+M2pBP9dyIbub7yIhKJ6L///a/pQPiHP/xBd955p7Zs2aJIJKKbbrpJ\\\n",
       "U6ZMkSTt2LFDP/rRj/T+++/L7/fL6XSqW7dumjVrlo488sic2gcAqRAIAZQls51sl8sVG8kwIxKJ\\\n",
       "yO/3y+FwyOv1ZuzEejwe+f3+WMfX5/OZPlc6fr9fkUhEbrfb1DFdLpcCgYDC4bB8Pl9BAkAoFFI4\\\n",
       "HJbT6TR1TLfbLb/fr3A4HAsi+eJ+7MH92GPXrl2myuUbxs3Wz2UU9vvvv1fPnj118cUX6+67747b\\\n",
       "t2XLFv3nP//RVVddpVNOOUXr16/X+PHjdfzxx2v79u1ZnwsA0iEQAsD/iXZ2DcMw1dmNinZyoyM3\\\n",
       "+XZ6ox1os+FDUqytgUBAfr8/7xASCoUUCATkcDhMHysaVPx+f+yl5vmEEO7HHtyPPaIh12oOhyOr\\\n",
       "QJltKJw4caImTpwoSU0CYdeuXfXtt9/GbfN4PLr44ou1ZMkSDRo0KKtzAUA6BEIAUO6d3ahCdXpz\\\n",
       "CR9RhQohuYSPqEKFEO7HHtyPPaL3w+VyWR4KcwmEGzdujNvWtm1btW3btiDt2bRpkySpS5cuBTke\\\n",
       "AEQRCAHYXr6d3ah8O735hI+ofENIPuEjKt8Qwv3Yg/uxR+P74Xa7m10glKQBAwbE/Tx48GAtWLAg\\\n",
       "77Zs3bpVt912m/bbb7+sF8kBgEwIhABsrVCd3ahcO72FCB9RuYaQQoSPqFxDCPdjD+7HHon3ozlO\\\n",
       "GZWkZcuWqba2NvZzIUYHd+zYoV69ekmS3n777byPBwCJCIQAbKvQnd2obDu9hQwfUdmGkEKGj6hs\\\n",
       "Qwj3Yw/uxx5W3A8zcgmEtbW1BR3B27Fjhw444AA1NDTogw8+YHQQgCUKtw41ADRDqUYSrOrsRvl8\\\n",
       "PrndboVCIfn9/pTlrOzsut1ueb1eGYYRWyUzGSvCR1Q0hDgcDgUCgVgISMT92IP7sUepwmBzEA2D\\\n",
       "3333nVauXKmePXuWukkAKhQjhAAqWjAYbPIONKs7u1GZRkKK0dnNNDJlZfiIyjQyxf3gfjT+OarU\\\n",
       "YTCXEcJs1NfXa+HChbGfV69erZkzZ6pr1646/PDD1aNHD33zzTd6/vnnFQwG9cEHH0iS9t9/f7Vu\\\n",
       "3dqydgGwHwIhgIoWHQmRdnd6i9XZjUrV6S1mZzdVCClG+IhKFUK4H9wPqbT3IxWrA+GMGTN03XXX\\\n",
       "xX6eM2eO5syZox49eujpp59WfX29JOm8886Lq3f//fdr/PjxlrULgP0QCAFUNI/HE+toS7tHDIvV\\\n",
       "2Y1K7PRG/1zMzm5iCPF4PEULH1HJQgj3g/vRHO5HMlYHwvHjx6cNdrm87B4AckEgBFDRop3eXbt2\\\n",
       "xZ5Vij6/VEyJnd5SdHaj1+z3++X3+4saPqK4H3twP/ZoDvcjkdWBEACaCwIhAABAAgIhALtglVEA\\\n",
       "FS36TJSk2OhLutUVrZL4Uu1MqytaITp1NjoqFG1XqtUurcD92IP7sUdzuB8AYFeMEAKoaMFgUJJi\\\n",
       "z0Q5nc6sX86dr1QLZGT7cu58pFqwJNuXpecj2YIl3A/uR3O4H8kwQgjALhghBGDab3/7Wzkcjowr\\\n",
       "3M2aNUu9evVSVVWVevfurVdffTVuv2EYmjhxompra9WiRQsNGTJEn376qSVtTlwgw+x72AolVWfX\\\n",
       "7HvYCiFV+DD7XrxCSLV6JfeD+1Hq+5FKNBCa/QBAuSIQAjDln//8p/7f//t/6tOnT9pyixcv1siR\\\n",
       "IzVmzBitWrVKw4cP1/Dhw/Xhhx/Gytx999166KGHNG3aNC1dulStWrXS0KFDtWvXroK32+PxNBnl\\\n",
       "KFanN9PS+cXo9GZ6lUExQkimVxlwP/bgfuxR6lBIIARgFwRCABn997//1QUXXKA//vGPat++fdqy\\\n",
       "Dz74oE499VRdf/31Ovjgg3XHHXfoyCOP1MMPPyxp94jdAw88oFtuuUVnnHGG+vTpo2eeeUYbNmzQ\\\n",
       "7NmzC952l8uVdLvVnV6z71GzstNr9r12VoYQs++1437swf3Yo5ShkEAIwC4IhAAyGjt2rIYNG6Yh\\\n",
       "Q4ZkLLtkyZIm5YYOHaolS5ZIktauXav6+vq4MtXV1Ro4cGCsTDJ+v1/btm2L++TLqk5vti/VtqLT\\\n",
       "m+1Lzq0IIdm+5Jz7sQf3Y49ShUICIQC7IBACSGvGjBlauXKlpkyZYqp8fX29ampq4rbV1NSovr4+\\\n",
       "tj+6LVWZZKZMmaLq6urYp0uXLtlcRkqF7vRm29mNKmSnN9vwEVXIEJJt+IjifuzB/dij1NNHAaCS\\\n",
       "EQgBpLRu3Tpde+21mj59uqqqqkralptvvlkNDQ2xz7p16wp27EJ1enPt7EYVotOba/iIKkQIyTV8\\\n",
       "RHE/9uB+7NH4fkRXD7YSI4QA7IJACCClFStWaPPmzTryyCNj7wdbuHChHnroIbndboXD4SZ1OnXq\\\n",
       "pE2bNsVt27Rpkzp16hTbH92WqkwyPp9Pbdu2jfsUUr6d3nw7u1H5hJB8w0dUPiEk3/ARxf3Yg/ux\\\n",
       "R/R+JPu3p9AIhADsgkAIIKWTTz5Z//rXv/Tee+/FPkcddZQuuOACvffee0kXbBk0aJDmzZsXt23u\\\n",
       "3LkaNGiQJKl79+7q1KlTXJlt27Zp6dKlsTKlkmunt1Cd3ahcQkihwkdULiGkUOEjivuxB/djD5/P\\\n",
       "l3KxqEIjDAKwA15MDyClNm3a6LDDDovb1qpVK3Xo0CG2ffTo0dp3331jzxhee+21Gjx4sO69914N\\\n",
       "GzZMM2bM0PLly/XYY49JUuw9hnfeead69uyp7t2769Zbb1VdXZ2GDx9e1OtLJtrpNfty7kJ3dqOi\\\n",
       "xzLzcu5Ch4+o6HWbeVl6ocNHFPdjD+7HHh6Px/JRwmzCHqEQQDkjEALIy1dffRXXKT3mmGP0/PPP\\\n",
       "65ZbbtGvfvUr9ezZU7Nnz44LljfccIO2b9+uyy+/XFu3btVxxx2n1157reTPKUaZ7fRa1dmNMhNC\\\n",
       "rAofUWZCiFXhI4r7sQf3o3gIhADswmEYhlHqRgBAtrZt26b77rsvY0esqqoq5+ll6TrWxezspjqX\\\n",
       "1eGjsVTnsjp8NMb92MPu9yMcDmvXrl1py9x2221qaGjI+nnjr7/+Wl26dNHee+9t+h5GIhFt2bJF\\\n",
       "69atU+fOnbM6HwCUGiOEACpaOBxWPr/3crvdsdGYSCQip9OpYDAY+7PL5Sr4S7sTuVwuRSIRhUIh\\\n",
       "RSIReTweRSKR2EqL0Z8L+QLzZNxut4LBoHbu3Cmv1ytJsREij8cjSZZ/F9yPPex8P6z+bgHATgiE\\\n",
       "ACpaJBLJKxBKuwOAYRgKhUJyOBwyDENOp1NOp7Moqx1Kio1UGIahYDAYa4PD4Shq57hxGJJ2T5Vz\\\n",
       "Op0yDKNo3wX3Yw+73o9iTG5iyigAuyAQAihboVBILVu2TDqtKxKJKBwO66STTlJtbW0JWgfAKhs3\\\n",
       "btS8efPkcrni/v4HAoGChUUCIQC7IBACKFuGYcjhcCR9TioUCskwDNXW1qp79+4laB0AK0VHIaN/\\\n",
       "/ws9NZVACMAuCIQAAKCsNV5kp6qqyvT7ItMhEAKwCwIhAAAoW8lWXC3E6qoEQgB2QSAEULaii1kA\\\n",
       "sKfogjrFeNUHAFQqAiGAshYMBuV2u+kIAjYTXdnU6XRaEgYZIQRgF/SgAJSt6PL+0XegAbCP6N95\\\n",
       "q0YGo4HQ7AcAyhUjhADKlmEYcrvdCofD8vv9TBkDbMThcMjj8Vj2d54RQgB2Qc8JQFlzOp3yer0y\\\n",
       "DIORQsBGrB6ZY4QQgF0wQgig7EVXFAwEArGRQgCVzeoQxgghALtghBBARXC73XEjhaw+CgAAkBkj\\\n",
       "hAAqRuORwkAgIJfLVeIWAShXjBACsAsCIYCKEg2FjBICyAeBEIBdEAgBVBy32x17YTUA5IJACMAu\\\n",
       "CIQAKpLT6eQVFAByRiAEYBcEQgAVi04agHzwbwgAO+DX5wAAAABgU4wQAgAAJGDKKAC7IBACAAAk\\\n",
       "IBACsAsCIQAAQAICIQC7IBACqFiRSKTUTQBQpgiEAOyCQAigIgWDQV5MDyBnBEIAdkEgBFBx/H6/\\\n",
       "IpEI7yEEkDMCIQC7oLcEoKL4/X6FQiFeTA8AAGACI4QAKkY0DLrdbrlcLoXD4VI3CUCZYoQQgF0Q\\\n",
       "CAFUhMZh0OfzKRQKlbpJAMoYgRCAXTCfCkDZSwyDACqf1YtGRQOh2U+2/vCHP6impkYul0sOh0M3\\\n",
       "33xz3P5IJKITTjghtn+vvfbS3LlzC3V5ABBDIARQ1kKhEGEQsKFIJGLpq2WsDoTff/+9evbsqV/+\\\n",
       "8pdJ9w8bNkxvvfWWbrzxRs2aNUs+n08/+clPtHXr1jyvDADiEQgBlC2n06lIJEIYBGzI4XAoGAxa\\\n",
       "Nj3c6kA4ceJEvf322/rd737XZF8kEtHrr7+uYcOG6a677tI555yjpUuXKhQKaeLEiYW4PACIIRAC\\\n",
       "KFsOh0NOp5MwCNhQNIQFAoGKe2Z40aJFikQiuvDCC2Pbunbtqurqai1atKiELQNQiVhUBkDZMgxD\\\n",
       "bjf/jAF25HA45PV6FQqFFAgEJKmg/x7ksqjMxo0b47a3bdtWbdu2zfrca9askSQddNBBcdvbtGmj\\\n",
       "7777LuvjAUA69KQAlC0rnx8C0Pw5HA75fD75/f64UFiIBWdyCYQDBgyI2z548GAtWLAg77YAgJUI\\\n",
       "hAAAoGxFp403DoXBYDDv4+YSCJctW6ba2trY9lxGB6U9I4Nr1qxR3759Y9t/+OEHdevWLadjAkAq\\\n",
       "PEMIAADKWuNnif1+f0GOmcuiMrW1tercuXPsk2sgPOGEE+R0OvXcc8/Ftn399ddqaGjQCSecUJDr\\\n",
       "A4AoRggBAAASWP1i+vr6ei1cuDD28+rVqzVz5kx17dpVgwYN0imnnKJXXnlFv/71r3XkkUdq3Lhx\\\n",
       "crvdmjx5ctbnAoB0CIQAAKCsRSKR2MhgdPpoczdjxgxdd911sZ/nzJmjOXPmqEePHvrPf/6jV155\\\n",
       "RSeeeKJ++9vfKhKJqH379vrb3/6mdu3ala7RACoSgRAAAJStaBg0DENer1dut7sgC05ZPUI4fvx4\\\n",
       "jR8/PuV+p9PJKyYAFAWBEEDZcjp5DBqwM8MwmoRBKbeAlkyhjgMAzRmBEEDZcjgcCoVC8ng8pW4K\\\n",
       "gCIzDEOBQCD2PsJCv5PU6hFCAGguCIQAypZhGLHpYtEVBgHYQ/Rdg1aEQYlACMA+CIQAylYkEpHT\\\n",
       "6VQoFJIkQiFgI4ZhyOPxWBIGJQIhAPsgEAIoa9EFJAiFgL04nU5LnyMmEAKwCwIhgLIXDYGEQsA+\\\n",
       "CGEAUBgEQgAVITEUulyuUjYHQJljhBCAXRAIAVSMxqEw+nwhAOSCQAjALgiEACpK4kghAOSCQAjA\\\n",
       "LgiEACqOz+dTJBKJLUsPANkiEAKwCwIhgIrk8XgUDAZL3QwAZYpACMAueMAGQMXiGUIAAID0GCEE\\\n",
       "gGbs9ttvz7qOYRixEYvotNlSjGA0bke2+zPVTXdMKbfrNXNOK9qcb91sTZo0qSjnKXeMEAKwCwIh\\\n",
       "AFQ4O3VW87lWh8ORMZjZ6bu0OwIhALsgEAJAGUgc9Us3SpVt+WT7zJwjKpvOcPS4uSz407hOprbl\\\n",
       "MtKXqk2Jbc72ehvL9btKdY9SHTOf82I3AiEAuyAQAkAFMTPKlVg+m+2Z9pk9Xy6h0Mx5zR432bFS\\\n",
       "1bW6zZnqFvseYTcCIQC7YMUFAClNmTJF/fv3V5s2bbTPPvto+PDhWrNmTcZ6s2bNUq9evVRVVaXe\\\n",
       "vXvr1VdfjdtvGIYmTpyo2tpatWjRQkOGDNGnn35a8PZX0msnsulwNi6bTae20DKd14pAY/VzfFYH\\\n",
       "ZTQf0b87Zj8AUK4IhABSWrhwocaOHat3331Xc+fOVTAY1CmnnKLt27enrLN48WKNHDlSY8aM0apV\\\n",
       "qzR8+HANHz5cH374YazM3XffrYceekjTpk3T0qVL1apVKw0dOlS7du0qWNsjkYgikUjBjldq2YTb\\\n",
       "xmUNwyhZMM503nT782mzmbrppofmemyr2wwAgBWYMgogpddeey3u56efflr77LOPVqxYoRNOOCFp\\\n",
       "nQcffFCnnnqqrr/+eknSHXfcoblz5+rhhx/WtGnTZBiGHnjgAd1yyy0644wzJEnPPPOMampqNHv2\\\n",
       "bP3sZz/Lu92hUEjBYLCiXjuROOpXqLJWas6jbblMw8y0nxHCysKUUQB2UTm9JQCWa2hokCTttdde\\\n",
       "KcssWbJEQ4YMids2dOhQLVmyRJK0du1a1dfXx5Wprq7WwIEDY2WS8fv92rZtW9wnmVAopEAgIKly\\\n",
       "OmnRUb7GC8Y0/nPi/6Yqm2p/uvOZ2Z94/MRyZuumu+Zsz5vqmJm+g1TXm65N6dpsZl/iOcxcUzb3\\\n",
       "MFUZpMeUUQB2QSAEYEokEtH48eN17LHH6rDDDktZrr6+XjU1NXHbampqVF9fH9sf3ZaqTDJTpkxR\\\n",
       "dXV17NOlS5cmZaJh0OFwyOv10kkzyergYPaYuZ47XYjLdGwzdbPZlqxMusCWTRvNBth07SQYmkcg\\\n",
       "BGAXBEIApowdO1YffvihZsyYUZLz33zzzWpoaIh91q1bF7e/cRj0+Xx00EqAZ+hQaQiDAOyAZwgB\\\n",
       "ZDRu3Dj97W9/06JFi9S5c+e0ZTt16qRNmzbFbdu0aZM6deoU2x/dVltbG1emb9++KY/r8/nk8/mS\\\n",
       "7ksMg06ns6IWlEn2KonEVxIkvhrB7DNymX42c4x029Mdv3E7s62bz3mzfU6w1G22+h6VK6t/icAz\\\n",
       "hADsghFCACkZhqFx48bppZde0vz589W9e/eMdQYNGqR58+bFbZs7d64GDRokSerevbs6deoUV2bb\\\n",
       "tm1aunRprEw2IpFIkzAIoPKVcgVdAKgkjBACSGns2LF6/vnnNWfOHLVp0yb2jF91dbVatGghSRo9\\\n",
       "erT23XdfTZkyRZJ07bXXavDgwbr33ns1bNgwzZgxQ8uXL9djjz0mafdv0sePH68777xTPXv2VPfu\\\n",
       "3XXrrbeqrq5Ow4cPz6p9DodDoVBITqezosNgqmfQUo1cmT1WtHy6Y5k5bi7lMx3HTNuj5aPb030f\\\n",
       "yY6drJ6Z9qY7b6prSvxfM9ebqq2p/pypfqWNYhmGoUAgIJfLZcnffUYIAdgFgRBASo8++qgk6cQT\\\n",
       "T4zb/tRTT+niiy+WJH311VdxnbFjjjlGzz//vG655Rb96le/Us+ePTV79uy4hWhuuOEGbd++XZdf\\\n",
       "frm2bt2q4447Tq+99pqqqqqyal/0vJUcBqX8pkSamW6Yz/TKbM6dzfZcp1SmmjJb6OmdZuunmtqb\\\n",
       "7s+ZzpXt/cmmXDlxOp0Kh8Py+/2W/BtAIARgFwRCACmZmY61YMGCJttGjBihESNGpKzjcDg0efJk\\\n",
       "TZ48OZ/mSZI8Hk9Fh8Fk6Hymx/eTXiV8P926ddP5558vwzDk8XgUDAa1c+fO2P5C/JtAIARgF/bq\\\n",
       "RQGoKOFw2DYdsWxeHZDpXYDFkulVFunalc8rKKx4RYSZ4+Tz6o5C3yO7PFsXDoe1a9cuORyO2DT2\\\n",
       "QjG7wmg2wREAmiMCIQAgo1xCnRXnLeegU+zvyi4ikUiTUOjxePI+LoEQgF0wZRQAKkyyZ+rSMbPg\\\n",
       "SD6vMcins1zIVy7kcr5CHsPq0JDLs4WVIhoKq6qq1LJly4IckymjAOyCQAgAzVzjqYiJK1QmrnjZ\\\n",
       "WLLtyVbqTDxequM0Pne6cyWu7tl4WzYrdmaqm+q8qVbeTPedmalrZZtT1U3WzkLco0oUiUQUiURs\\\n",
       "90wxAOSLQAgAzZyZVUBzXQkzl5U2C7HqplV1sylTzFVG86lr5T2qJF6vV06ns2ChkBFCAHbBr9EA\\\n",
       "oAykWtjEzHTQbBahybYt+ZQ3u9BLsp+zPWbi95DNwjNWfz+FqmtnXq9XbrdboVBIu3btUjAYzPuY\\\n",
       "PEMIwC4YIQRQtuzUCUs1+pPrs3/ZlrGifC5ty3ZENNNxCtXOfMoXqq5dNQ6DgUBA0u7VR/PFCCEA\\\n",
       "uyAQAihb0elhdmNmEZjGZaXm2WHN5jqai3JscyXzeDxyuVxxYbBQCIQA7IJACKCshUIhuVwuud2V\\\n",
       "+89ZqsVPEhdIybQwSuLxslmwJFV7ktVNtrBJusVOkrU5U91Ui7FkWyZZ+1PVzbXN6b7nbOpmWjAm\\\n",
       "WdvSXWO5czqdcjqdloRBiUAIwD4qtwcFoOKFw2G5XK5YZ7ASQ2G6VUIzvaMv3cqYVsrmHIkjbmaf\\\n",
       "40u3Sme646drh9m62bbZzMvs82lP4v5CPzPaHK1du1bPPvusHA6H2rRp02R/IZ4hBAC7qLzeEwBb\\\n",
       "8Xg8CofDFRsKCz1Ckesqo2bKWFk33X4z+7J57jJdXbPnNdsuM/uzXWU0n/OWE4fDUZAX0Kc7PiOE\\\n",
       "AOyAVUYBlDWHwyGfzyeHw6FAIKBQKFTqJlkim5VF09VtTqxol5lVVTPVz2c/isfq9w2yyigAu6is\\\n",
       "X6UDsCWn0ymfzye/32/Js0TNTTadz1IugpLPuXOtW8rn5EpxvbAOI4QA7IJACKAiJIZCu04dLVS9\\\n",
       "QrBySmU+582nbnNsM6xBIARgF5XVYwJga41DYTAYlMvlKnWTAJQpAiEAu+AZQgAVJRoKJdnyHYUA\\\n",
       "AADZIBACqDhOp1Ner7eifmuf63Nx5boISimu18yCNLm8QsLsudG8sKgMALsgEAKoSJXWSSvHZwjz\\\n",
       "Uarr5RlCNGZVGAwEAjr++OPl8Xhir884+eSTmdUAoCQIhAAqViV1shuPXqV6aXnjcok/pztWqp9T\\\n",
       "jZiZPVe6c1tVN127Mx0n1XmT1SnW9Sa7pkz3J1Wdxv+LzKwcIfzpT3+qd955R7/+9a/11ltv6Zpr\\\n",
       "rtH8+fM1YsQIi64GAFJjURkAKAOZXqye6qXk6cqaLZ/ruTKd24q62bTf7Haz7bHqevO5R5mOhdSs\\\n",
       "XFTm/fff1wEHHKDbbrtNknTcccdpxowZWrlyZbbNBIC8MUIIAM1cutGjZD+bHbUycz4zI0rpRr2K\\\n",
       "XdfMCGHiMXIZXSxkm83UzTTKa/a8MC+XEcKNGzfq66+/jn22bduW9NiHH364Pv/8c/3jH/+QJL34\\\n",
       "4ovauHGjfvzjHxft+gAgihFCAGjmsh2dMjuaaOZ8hRwxLEbdbEdq8hldLOb1mr3fZusjs1xGCAcM\\\n",
       "GBC3ffDgwVqwYEGT8q+++qqOO+44nXrqqbFtp5xyiqZOnZp7gwEgRwRCABWrUkdFDMNI21FN3J+p\\\n",
       "fKlY0a7oPc/luPnUBSRp2bJlqq2tjf3ctm3bpOUmTJig5cuX6+qrr9bgwYM1d+5cPfbYY7rsssv0\\\n",
       "xz/+sVjNBQBJBEIAFSqbaYPloHF4yiawNNcwaBWHw5HzfTdT127fp53lMkJYW1urzp07Zyw/depU\\\n",
       "nXXWWXrooYckSWeffbb+85//6JlnniEQAig6AiGAihOJRBQIBCqq457NteQzhbKYrGqbla9/aM7f\\\n",
       "JwrLykVlIpGIXC5X3DaXy1VRv8QCUD4IhAAqSiQSkd/vl7T7BfWVovHIVDZTRks5DTLbqa3Z1E13\\\n",
       "TMm6KaNWtDnfurCGlYFw//3314svvqiDDjpIQ4YM0csvv6y5c+eqf//+uTQVAPJCIARQMaJh0DAM\\\n",
       "eTweftuehVSBxExQIcyYZ0Vo5Pu3hpWBcNGiRRo2bJjuvPNO3X777XK73TrmmGP02muv5dJUAMgL\\\n",
       "gRBARWgcBr1eryQpHA6XuFWFY/WU0VzezVeIutke06p6Zutm+65Cs2WK9T3zSxLzrAyEdXV1WrVq\\\n",
       "VS7NAoCCq5z5VABsKzEMut2V/buuShkNqpTrKCd85wCARJXdawJQ8QzDsFUYBLBbsoVZCsnKEUIA\\\n",
       "aE7oOQEoa8FgUA6HgzCYQimfL7PbIivl2OZyZhiGgsGgZX/vCYQA7ILeE4CyFR0dIAymVsqOaime\\\n",
       "ISylcmxzOXM4HLHp4j6fz5LjEwgB2AE9KABlze12EwYBG4q+ViYUCklSwUMhgRCAXdCLAlC2IpFI\\\n",
       "Rb1r0KxspyY216mMVr2H0MppqryHsHnxeDwKh8OWhEICIQC7IBACKFt2WkK/cWDItvNZjs8Q5srh\\\n",
       "cOR83mK8dsKKunYXDYGNQ2EkEillkwCgrBAIAaCZSwy+0Z/NhIhsypZCoUfV8vklgZnvKl2ZUo0Q\\\n",
       "MroYHwojkUhBAiEjhADsgkAIAM1cYmcz15fUF1umc1vxkvfm/mL65lC3EsJLt27ddP7558cCYFRV\\\n",
       "VVXBppETCAHYhf0evgGACtdcptJmake6/YUY6bOibnNsM3ZzOp0FfaY4GgjNfgCgXDFCCJS5tWvX\\\n",
       "6q233tKXX36pHTt2qGPHjjriiCM0aNAgVVVVlbp5KIFy6Zxa1U4rR9vK5bu1G6fTqaqqKhmGoZ07\\\n",
       "dxZscRnuNwA7IBACZWr69Ol68MEHtXz5ctXU1Kiurk4tWrTQd999p88++0xVVVW64IILdOONN2q/\\\n",
       "/fYrdXNRQOXyzFg+K3aWw/UlYlGZ0kgMg5IUDAbzPi5TRgHYBYEQKENHHHGEvF6vLr74Yv3v//6v\\\n",
       "unTpErff7/dryZIlmjFjho466ihNnTpVI0aMKFFrreNyuZhql0TjoFUu4bFQ7cx2wZ3G5cwuKmPF\\\n",
       "9xk9brncr+bC5XLJ4/HEhUEAQHYIhEAZ+u1vf6uhQ4em3O/z+XTiiSfqxBNP1G9+8xt98cUXxWtc\\\n",
       "kQWDQbnd7op/H2E5rkKZzXmTrRZqdZsLffxCtJkwaJ7D4ZDb7bYsDDJCCMAuCIRAGUoXBhN16NBB\\\n",
       "HTp0sLA1pROJRORyueT3++Xz+So6FDbucGbznFslrzJayHpm6zbHVUbtyul0WjoySCAEYBcEQqBC\\\n",
       "bN68WZs3b27y/q0+ffqUqEXWMwxDbrdb4XDYFqEQQLxAIGDZsQmEAOyCQAiUuRUrVuiiiy7S6tWr\\\n",
       "456Bik5fC4fDJW6htZxOp1wulwKBAKEQsJFwOGzpM8QEQgB2QSAEytyll16qAw88UE888YRqamps\\\n",
       "2TFxu3f/U9Y4FGI3Oy5Skus12/G7QmoEQgB2QSAEytznn3+u//3f/9UBBxxQ6qaUVGIojP5cKbJZ\\\n",
       "OTTZ6pnNcVGZdPvzCXX5KEWb862by7nK3dq1a/X888/L5XIl/bvOaycAwDzmVQFl7uSTT9b7779f\\\n",
       "6mY0C263W16vV4ZhKBAIVETHNyqfRWVK1Vkt1aIyVtZlURkAQKWprF+hAzb0+OOP66KLLtKHH36o\\\n",
       "ww47TB6PJ27/6aefXqKWlUZ0tMDv91dMIGzuUxlTtc9Mu1O9fy+butmeM5vjZVOuXEYIYQ4jhADs\\\n",
       "gkAIlLklS5bonXfe0d///vcm++ywqEwybrdbkUhEoVCo1E0piObe2UzVvmxe45BYNtdXQBRjlC6f\\\n",
       "68333CgeAiEAu2DKKFDmrr76ao0aNUobN25UJBKJ+9gxDEY5nc6KWW3UMIzYJ9m+xv/buHximcQ/\\\n",
       "l1qmtqS73kz1MtVN9+d052hO358Zyf77gDnRQGj2AwDlihFCoMx9++23uu6661RTU1PqpjQ7ldJJ\\\n",
       "M/PcWrpnDJvLi+oT5fK8Xj4vj0/1PeT6fGY5SDUCi8wYIQRgF5Xx63PAxs466yy9+eabpW4GAFQU\\\n",
       "RggB2AUjhECZO/DAA3XzzTfr7bffVu/evZssKnPNNdeUqGUAAABo7giEQJl7/PHH1bp1ay1cuFAL\\\n",
       "Fy6M2+dwOAiEFahSVqSslOtAZWLKKAC7YMooUObWrl2b8vP5558X5ByPPPKIunXrpqqqKg0cOFDL\\\n",
       "li1LW37WrFnq1auXqqqq1Lt3b7366qtx+w3D0MSJE1VbW6sWLVpoyJAh+vTTT3Nq29atW7Vp06Ym\\\n",
       "n++//147duzQSSedlPXUr+b0yUVzXUQmnUK1M9OiMPnWter7LJf7ZCeVMGU0FArpkksuKXUzADRz\\\n",
       "BEKgQm3cuFF333133seZOXOmJkyYoEmTJmnlypU6/PDDNXToUG3evDlp+cWLF2vkyJEaM2aMVq1a\\\n",
       "peHDh2v48OH68MMPY2XuvvtuPfTQQ5o2bZqWLl2qVq1aaejQodq1a1fe7W2sUlYZlfILDKUKG9mc\\\n",
       "N7FDXY4BqRzbjNQqIRC63W7NmjWr1M0A0MwxZRQoc5deemnS7V9++aWWLVumG264Ia/j33fffbrs\\\n",
       "sstiv2WeNm2aXnnlFT355JO66aabmpR/8MEHdeqpp+r666+XJN1xxx2aO3euHn74YU2bNk2GYeiB\\\n",
       "Bx7QLbfcojPOOEOS9Mwzz6impkazZ8/Wz372s7zaG+XxeJptJy0X2VxL4qqZpQoq+Xz/udbN956X\\\n",
       "os1oniplymj37t01YsQIgiGAlCrn1+eATX3//fdxny1btmjZsmVasGCBfv/73+d17EAgoBUrVmjI\\\n",
       "kCGxbU6nU0OGDNGSJUuS1lmyZElceUkaOnRorPzatWtVX18fV6a6uloDBw5Mecxseb1euVyuih2x\\\n",
       "ybbz2Vw7q43b1RzuVT6vtCjGuVFclTBCKElbtmzR7Nmz5Xa71a1bNw0dOlQTJ04sdbMANCOMEAJl\\\n",
       "7qWXXkq6/Te/+Y1mz56tK664Iudjb9myReFwuMk7DmtqavTJJ58krVNfX5+0fH19fWx/dFuqMsn4\\\n",
       "/X75/f7Yz9u2bUtazuv1yu12KxwON4uQAXOac4caKGcbN26UtPvf3ldeeUWLFi3Syy+/rMmTJ5e4\\\n",
       "ZQCaC0YIgQo1cuRILViwoNTNKJgpU6aouro69unSpUuTMtEwGAqFFAwGS9DK5seOoTifRWWAxspx\\\n",
       "dHCvvfZKGvb23ntvjRkzRn/605+0atWqErQMQHNFIAQq1Pvvv68jjjgir2Psvffecrlc2rRpU9z2\\\n",
       "TZs2qVOnTknrdOrUKW356P9mc0xJuvnmm9XQ0BD7rFu3Lm5/4zAYCATMXWAZyWbl0MT9zXVRmXT7\\\n",
       "SxXqStHmfOvCGuU6ZfT777/XkUceKUl65513Ytsvvvhi7b///qVqFoBmjCmjQJmbMGFCk22bNm3S\\\n",
       "nDlzNGzYsLj99913X1bH9nq96tevn+bNm6fhw4dLkiKRiObNm6dx48YlrTNo0CDNmzdP48ePj22b\\\n",
       "O3euBg0aJGn3AgedOnXSvHnz1LdvX0m7p38uXbpUV111Vcq2+Hw++Xy+lO2s5DAoNV0oplBlrZRN\\\n",
       "O7OtW+h6Zuta0eZ869qV1SG6nBeViU7JP+644/Tmm2/qxBNP1Nlnn60XXnihxC0D0BwRCIEyl2rq\\\n",
       "T//+/bV58+bY6yFy7bBMmDBBF110kY466igNGDBADzzwgLZv3x5bdXT06NHad999NWXKFEnStdde\\\n",
       "q8GDB+vee+/VsGHDNGPGDC1fvlyPPfZYrB3jx4/XnXfeqZ49e6p79+669dZbVVdXFwud2fB4PHK5\\\n",
       "XBUdBpv7C9xTtc9Mu6NlEstmUzfbc2ZzvGzKFePc+Z6nkkQiEUUiEcuOX66BsKqqSrNmzYqFwugz\\\n",
       "hPvss4+l3xeA8kUgBMrcm2++aenxzzvvPH3zzTeaOHGi6uvr1bdvX7322muxzsZXX30V976/Y445\\\n",
       "Rs8//7xuueUW/epXv1LPnj01e/ZsHXbYYbEyN9xwg7Zv367LL79cW7du1XHHHafXXntNVVVVWbXN\\\n",
       "6XTK7XbL7XarTZs2cftCoZDC4bDmz5+v7t275/ENlNbtt9/erDqbyaRqXzYjbollcx2tK8YoXT7X\\\n",
       "m++58z1PJXE4HAoGg7F/B6w4fjkGwnPPPVe///3v9fDDD6tFixaaMmWKRo4cqeeee04ul6vUzQPQ\\\n",
       "DBEIAWQ0bty4lFNEky1cM2LECI0YMSLl8RwOhyZPnpz3KncOh0NOpzPlVNJK0nhUKNMIUWJZqTQd\\\n",
       "VjPtlJK3LddRsHyu10zddO0q1gghdot+X9GZAYUOheUaCP/0pz+ppqZGH3zwgf7whz/o6KOPlsfj\\\n",
       "USgU0lFHHVXq5gFohgiEQBk69dRTddttt+noo49OW+6HH37Q1KlT1bp1a40dO7ZIrSsewzAsGRlo\\\n",
       "jniGsDDnzLcuzxA2Hw6HQ16vN266uF3+Pcjk7rvvjv15/fr1+tWvfqVdu3bpgQceKF2jADRb/MsJ\\\n",
       "lKERI0bo7LPPVnV1tU477TQdddRRqqurU1VVlb7//nt9/PHHevvtt/Xqq69q2LBhuueee0rdZEvY\\\n",
       "9XmYbEYIzZQvFSvaZfUIIZoXh8Mhn88nv98fFwoLseBMuY4QJqqqqsp6QTEA9kIgBMrQmDFjNGrU\\\n",
       "KM2aNUszZ87UY489poaGBkm7OyaHHHKIhg4dqn/+8586+OCDS9xaFFq2I2/NtbNqRbsYpbOf6LTx\\\n",
       "xqGwEO8hrZRACACZEAiBMuXz+TRq1CiNGjVKktTQ0KCdO3eqQ4cO8ng8JW4dCqnxaEd0Rc7Gf078\\\n",
       "32Rlc/m5scQRx2T7043KJD7TmKpusnKZ2pX4faQ7Z6pjmalrRZtzuaZU7W8sl3tUzqKhcNeuXfL7\\\n",
       "/QU5JoEQgF0QCIEKUV1drerq6lI3AxZIt5pmsv9NNhXT7Gqe+TxHV+i6Zp+FzLZuoZ7BLHSbzR7H\\\n",
       "6nuE3QiEAOzCmbkIAKDUynFkJ1ObzYwoFpOZc1rV5nK8v81JJBKJjQwWatXhaCA0+8nW8uXL1b17\\\n",
       "dzmdTjkcDlVVVemZZ54pSNsBIBuMEAJAGcimw1kuq4w2x3PmszKqledFatEwaBiGvF6v3G53s19w\\\n",
       "au3atTr66KPVvXt3PfHEE+rRo4feeecdde7cudRNA2BDBEIAZcvptOckh1TTQpNpriuMSrm/7y9T\\\n",
       "mVK8wzCf8xZbObQxk27duun8889XOByW1+uVw+HQrl279MMPP0gqzL8NVk4ZHTlypFq1aqVPP/00\\\n",
       "tu2EE07I6hgAUCj27E0BqAgOh0OhUKjUzSiKxlMKzb7wPdXPxZLPlFEzUoVBK1l1fKaM5qZxGCz0\\\n",
       "qKCVU0ZXrVqlHj16qHPnznI6nWrZsqVGjx5d0PYDgFkEQqDMXXTRRVq0aFGpm1EShmHEPTsEwD5c\\\n",
       "LpdlYVDKLRBu3LhRX3/9deyzbdu2pMcOBAJatWqVunbtqunTp+uss87Ss88+q8suu6zg1wEAmRAI\\\n",
       "gTLX0NCgIUOGqGfPnrrrrru0fv36UjepaCKRiJxOp0KhUMWHwmyeC0wsW6opgvk8j5drm/O5XjN1\\\n",
       "rWhzvnXtLBgMWva8YC6BcMCAAerSpUvsc/rpp6c8fuvWrbV48WKNHDlSzz33nPr06aMZM2ZYci0A\\\n",
       "kA6BEChzs2fP1vr163XVVVdp5syZ6tatm3784x/rz3/+c0Feztzcud1uud1uW4TCXDAVEZUqEoko\\\n",
       "HA5bdvxcAuGyZcu0bt262Oevf/1r0mO7XC7V1dXFbTvkkEO0Y8cOy64HAFIhEAIVoGPHjpowYYLe\\\n",
       "f/99LV26VAcccIAuvPBC1dXV6brrrotbuKAS+Xw+W4XCbJ/Na66hMF27cm1zPtdqpq4VbW5ct7ne\\\n",
       "q+aoOX5XtbW16ty5c+zTtm3bpOU6d+6s+vr6uG1r1qxRy5Yti9FMAIhDIAQqyMaNGzV37lzNnTtX\\\n",
       "LpdLP/nJT/Svf/1LhxxyiO6///5SN89SlR4KzYa8QnWSDcOIffI5Rr5tSlxMJ5PoCqzZHjvbuuna\\\n",
       "VKygQoi0lpWLytx+++3atm2bTjnlFM2bN09jx47VqlWrdOGFF1p0NQCQGq+dAMpcMBjUX//6Vz31\\\n",
       "1FN6/fXX1adPH40fP17nn39+7LfTL730ki699FJdd911JW6ttaIvpA6FQrHnCytBNh3+TKHG7Osc\\\n",
       "zBzL7Dnyfb1ENnWtHiFMdt5srreQeO7QWla+duKiiy7SZ599prvvvltz586V1+vVhRdeqKlTp+bS\\\n",
       "VADIC4EQKHO1tbWKRCIaOXKkli1bpr59+zYp86Mf/Ujt2rUrettKoXEorBSJnc1sO5/ZhpV8w020\\\n",
       "TiFe8p6uLcnqZxNikx0vU91870Wm4+bzfaPwrPxuJ0+erMmTJ1t2fAAwi0AIlLn7779fI0aMUFVV\\\n",
       "Vcoy7dq109q1a4vYqtLy+XyKRCIVNZUum5G0ZKNmZrble95C1m2uGl9TIa/P7MhtpX2fzZmVI4QA\\\n",
       "0JwQCIEyxzMnyXk8nopaZTXXsBAd9SpkkEmcUppu+mSqdib+bzZ1Ux3L7LXlWr7xM3vRsJC4L1ld\\\n",
       "KX70MdW5zX6X6dpspk4l/KJk7dq1ev755+VyueR2N+3KFOLvPoEQgF0QCAFUrEp5htCMbN6Pl03n\\\n",
       "NVXINHPsdHWTTZE0WzfVsVLVy7X96c6TbF+yoFWI78pMO9Idp/H2SgiDxUIgBGAX9uktAQDKRjEW\\\n",
       "hynkOfNVrHMTXAAAiRghBIBmLtlUw+jPmaZNJtZNVj8qcVpjsrqp6qeaEmnm3JnOlW50K9Vxkk2/\\\n",
       "TPzOkrUxXZvTnTfZebK93lRTSq24R8iMEUIAdkEgBIBmLllHPpupl6nqJv45075MZbKZfpnLdrNl\\\n",
       "0j1Pme6YZo7f+NjZTPPMdC4z7U0W/vL53pAegRCAXRAIAaDCNJcFRDIt2GJFJzpTGExXNnEkrpjM\\\n",
       "LG5TiDYRXMwjEAKwCwIhgIrF9LjmzarXKJg9brajlbAXAiEAu2BRGQAVKRKJKBKJlLoZzVa+Yblx\\\n",
       "/UzHStyfrLzZ9pQq5BdqkRt+SVE+ooHQ7AcAyhWBEEDFCYVCCgaDFdtJy3ZqYTbP8uXShkwjbana\\\n",
       "k8tzbvmM/OUjn2PyPB8AoDljyiiAihIKhRQIBCRVVuc712sp1++gVNebz3N8hQqNaB6YMgrALgiE\\\n",
       "ACpGNAw6HA55PJ6KmjKa6rUJjfdnekVBqmMlK99YrufK5xUOudY1szBMumvM9BoHK9qcrq6Ze5Rq\\\n",
       "wZzEOqnuL5IjEAKwCwIhgIrQOAz6fL6KCoNS5mmHmaZnmj1WNlMyM9XNZqpqoepatZiMmfZYdb35\\\n",
       "3KNMx0JqBEIAdsEzhADKXmIYdDor6582wzAyLsySauGSVHXTjRQ13m9mRKlx2WwXUCl03eifs1mk\\\n",
       "Jpu6ycrn22YzddPdw2zOW0msviYWlQFgF4wQAihrkUhE4XC4YsOgVNgXoKfaZuZYmcpbOdpotm62\\\n",
       "HfN8RheLeb1m77fZ+pUgm+CfC0YIAdgFgRBA2XI4HAqFQnI6nRUbBqXkz4M1/nOqZ8Ty/bnx9mRt\\\n",
       "SSyT6rm4VNvSXVOy8xeibrprzOe8Vl1vLvfIzHkrgWEYCgQCcrlcFft3HwCKgX9BAZStaCewksNg\\\n",
       "JrmMYGQzmpHLKFi+zD7vlu/+XOvmc95cRmyzLVfous1V9O+83++35JlhpowCsAtGCAGUNY/HU/Fh\\\n",
       "sJALkCSWK8SCJbm002xdM0HWijK5bC/E9SbbZuU9KmcOx+7VhEOhkPx+f8F/McSUUQB2QSAEULai\\\n",
       "zw5WukJMGU01rdHMdMTG+xOPkc25cqmbabpquumXyeqanTKa7XkLdb2J27KZMhotb+a8lcLpdMrr\\\n",
       "9SoQCBQ8FBIIAdgFgRAAmrnEzn50W6r/TSybeKx0PyfblurcmeplOl+m4yb7OdW15TPilulYjbfl\\\n",
       "0uZsz2Gmvdlsa9zmSgwubvfurkzjUBgKhfI+LoEQgF0QCAEAMdlMe7T6vGbLWd2+5jb9Mtspo5lG\\\n",
       "OytB41C4c+fOgh2XoAfADir7wRsAgO3kExorPQBU8vW53e6Kvj4AsAojhACAipJuyqyVdVFa0dVG\\\n",
       "nU5nQVYdZcooALsgEAIAKkY+C6dU4qIrduH3+xUKheR2u+Xz+eT3+/M+JoEQgF0wZRRA2bJLJyxZ\\\n",
       "SIluS/xfKfkqlumO1/jnbANRtquSJmtvqrqGYRQ0oOVznWZkanOm7yrd/nRtz3QtlR5yE8OgpIKs\\\n",
       "NBoNhGY/AFCuGCEEULYKNTWsuTOzYqbZ1S0zlc22Y5vrAidmRuNy7WSbWQTGqoVisvnec62bzb02\\\n",
       "s7+cBYNBRSKRuDBYKIwQArALAiGAshYKheRyuWKrDKKp5tpZTdeuXJ/ls/oZQCvajNxEIhHLwqBE\\\n",
       "IARgH/SgAJStcDgsl8ulQCAgSbYJhXbofBZ6dLAY7HBfmhPDMOR0Oi0JgxKBEIB92KP3BKBieTwe\\\n",
       "hcPhig6FZp+3S7c92fN82RwnU3sSz5VYJt35rarb+KXs6Y6fqm5zv95kdTK1OVnZctStWzeNGjVK\\\n",
       "gUBA27Zta7K/EM8QAoBdVF7PCYCtOByO2KqClRoKGwebdGXMbC/E82aFekav8TXl83xfYt1kxzV7\\\n",
       "/GTfsxXPJBaqbiqVEPoysfr5YUYIAdhFZfWaANhSdNpY41BYaSqxw2nVNVXid4XiIxACsAvmVACo\\\n",
       "CNFQ6HA4FAgEKm710VSvHUj3SoronzOVKVS7sj2HmbrZvsIhn+vNtkyq1z/k8p0kq5vPPar0V00U\\\n",
       "A6+dAGAXjBACqBiNRwqDwaBcLlepm1Qw2UwfLMbrFcwcJ59zZHrezYpplmbKmXn9Qz5Te83cOzMI\\\n",
       "KPljhBCAXRAIAVSUaCjcuXNnxYwSJlvspPFiKckWT4mWTbeoTLryjSU+W5fLAjap6iZb9MVs3WTn\\\n",
       "zbQwTKZFWRLbUejrzbauVfcImREIAdgFU0YBVByn0ymv11vRnbRknftMP2eqn0q20xgTp20mjnol\\\n",
       "GwVLF8BSTQNN187E7alGUtMFqMbbc2lz4rlSHT/Vd5WqXcnaYma6arp2AADsixFCABWpkp7rMbP6\\\n",
       "ZWI4SRxlylQn3Taz+82EmcZlk4WmdG1vfNxM157q9RPJ2pludDDd95U4OpvqOs0cK9m1mf2uc7mP\\\n",
       "yIwRQgB2wQghgIpVKZ00M4ukpPu5UAuVmGlXomzvQaYROzPHzPU9fZlER/MSg6OZazS7wE6h/5tl\\\n",
       "imjuooHQ7AcAyhUjhADQzKUaTcvm50zbc22XlZKNvmV6H2Pjuvnsbyx6zkyjgelGDDPVtQpBJXeM\\\n",
       "EAKwCwIhACBruYabQoWiUoSrXDQe+bOivbl8D5Uwarh27Vo9//zzcrlccrubdmWCwWDe5yAQArAL\\\n",
       "powCSCoYDOrGG29U79691apVK9XV1Wn06NHasGFDxrqPPPKIunXrpqqqKg0cOFDLli2L279r1y6N\\\n",
       "HTtWHTp0UOvWrXX22Wdr06ZNVl2K7Zh5Vq2Q58imjNm2ZXrer5gd8GxDQbpFdPI9R6HqITOmjAKw\\\n",
       "CwIhgKR27NihlStX6tZbb9XKlSv1l7/8RWvWrNHpp5+ett7MmTM1YcIETZo0SStXrtThhx+uoUOH\\\n",
       "avPmzbEy1113nV5++WXNmjVLCxcu1IYNG3TWWWcV/BoqYSSksVxXBU3XWc32Be9m96c6duJzeIVo\\\n",
       "V64vgjfbhsZtzue7zLadmVYOzWflVQAAopgyCiCp6upqzZ07N27bww8/rAEDBuirr75S165dk9a7\\\n",
       "7777dNlll+mSSy6RJE2bNk2vvPKKnnzySd10001qaGjQE088oeeff14nnXSSJOmpp57SwQcfrHff\\\n",
       "fVdHH310Qdpv9lUF5SDfBUfMrtbZWDFGtcxMdzTzPF42K59m2p6qTK5tLsS9S3V8K+8RmDIKwD4Y\\\n",
       "IQRgWkNDgxwOh9q1a5d0fyAQ0IoVKzRkyJDYNqfTqSFDhmjJkiWSpBUrVigYDMaV6dWrl7p27Ror\\\n",
       "k69IJKJAIFAxgTDbKWlmpyzm04ltzlNGrbyubNucT3BLNR2R8FEcTBkFYBeMEAIwZdeuXbrxxhs1\\\n",
       "cuRItW3bNmmZLVu2KBwOq6amJm57TU2NPvnkE0lSfX29vF5vk1BZU1Oj+vr6lOf3+/3y+/2xn7dt\\\n",
       "25a0XCQSiZVzOivjd17pRpmSjVilG6EqxGIsZkfAMr2nL1PdqGxHN82MiOYyamrmvJnanG5fpu8q\\\n",
       "m/uW6+qsiMd3BsAOKqO3BCBv06dPV+vWrWOft956K7YvGAzq3HPPlWEYevTRR0vSvilTpqi6ujr2\\\n",
       "6dKlS5My0TBoGIY8Hk/FdObSjRBlGoUzUz6f9pgZgUy3P9O+bEc3zY4c5jPimq6cmWtKd45CjeYy\\\n",
       "qpi/Yo4QnnrqqXI4HDriiCMK1HoAMI9ACECSdPrpp+u9996LfY466ihJe8Lgl19+qblz56YcHZSk\\\n",
       "vffeWy6Xq8mKoZs2bVKnTp0kSZ06dVIgENDWrVtTlknm5ptvVkNDQ+yzbt26uP2Nw6DX662Y0cGo\\\n",
       "XDucdgwC+XxXdvy+kFyxAuGf/vQnzZs3T1VVVQVsPQCYV1k9JgA5a9OmjQ444IDYp0WLFrEw+Omn\\\n",
       "n+qNN95Qhw4d0h7D6/WqX79+mjdvXmxbJBLRvHnzNGjQIElSv3795PF44sqsWbNGX331VaxMMj6f\\\n",
       "T23bto37ND5H4zCY7L1k5S5x5dBkf061P5tVOQsp15VEzdRNV8/KuunK5LPqp9UrhlbK87TFVIxA\\\n",
       "WF9fr8suu0y/+c1v5PP5CnwFAGAOgRBAUsFgUOecc46WL1+u6dOnKxwOq76+XvX19QoEArFyJ598\\\n",
       "sh5++OHYzxMmTNAf//hH/elPf9Lq1at11VVXafv27bFVR6urqzVmzBhNmDBBb775plasWKFLLrlE\\\n",
       "gwYNymmFUcMwKj4MStlNJcw0pbNYo2D5nKcUo3xm6uYyjdVMmXzqmlGJI5+RSKTUTWhi48aN+vrr\\\n",
       "r2OfVM86Rx177LE67LDDdMMNNxSphQDQVGX2nADkbf369frrX/8qSerbt2/cvjfffFMnnniiJOmz\\\n",
       "zz7Tli1bYvvOO+88ffPNN5o4caLq6+vVt29fvfbaa3ELzdx///1yOp06++yz5ff7NXToUE2dOjWn\\\n",
       "dgaDQTkcjooOg1L8giTJFgtp/L9RjX9Ot8hM4/KJ2xpvT2xLsjKZFm5JNlqZqm7ja0h3jYnfQ6rr\\\n",
       "SXXN6ermer3Jjpl4znRtTDxG4/9N1qZU33PiuSpppNAwDAWDQcv+3mfzy4VouQEDBsRtHzx4sBYs\\\n",
       "WJC0zjXXXKP169drxYoVebUTAPJVub0nAHnp1q2bqc7jF1980WTbuHHjNG7cuJR1qqqq9Mgjj+iR\\\n",
       "Rx7Jp4lyuVySZJswmPhzoUZ90o1amQ1DqSS2NV0AytS+xJHPTKt6mtln5r/xVCHMTJ1U35WZcGZm\\\n",
       "ZDdT6Ex23krhcDhi08WtmG6ZSyBctmyZamtrY9tTPXO9dOlSPfzww3rxxRdTvsYHAIqlcntQAGzB\\\n",
       "7XZXdBiUzK0amiw05fJzquObaVe2ddONcpk5b6bzZ6qfbd1Sfle51K2k8JdMdOGoUCgkSQUPhbkE\\\n",
       "wtraWnXu3Dlj+dmzZ8swDI0YMSJu+3vvvSeHwyG/3y+v15t9owEgB5XdiwJQ0SKRSMWtJmpGNu/K\\\n",
       "K/RoYjYytdPsNWR7zkzHzqeuVe/z4z2BufF4PAqHw5aEwlwCoVlXX311k+mlo0aNUk1Nje69917C\\\n",
       "IICiIhACKFuV9DxUKpMmTSp1E4BmLRoCG4fCQiw4Y2UgrKur05lnnhm3zePxqLq6usl2ALAagRAA\\\n",
       "AJS1xqEwEok0yxVIAaC5IhACAICyFx0ZLFQYtHKEMJmtW7fmfQwAyAWBEAAAlL1QKFTQaeTFDoQA\\\n",
       "UCoEQgAAUNZCoZACgYAcDoeqqqrk9/vzPiaBEIBdEAgBAEDZahwGfT6fnE5nQV5FQyAEYBcEQgBl\\\n",
       "y+Vy2WKlUQDJRSIRhUKhuDBYKARCAHZhvxd4AagowWCQFQUBGzIMQ8Fg0JIwCAB2wr+eAMpWNAj6\\\n",
       "/X5CIWAz0b/zVoXB6Aih2Q8AlCumjAIoW4ZhyO12KxwOy+/3M0oA2IjD4ZDH47Hs7zxTRgHYBT0n\\\n",
       "AGXN6XTK6/XKMAxGCgEbsXpkjhFCAHbBCCGAshddUTAQCMRGCgFUNqtDGCOEAOyCQAigIiSGwkIs\\\n",
       "Ow/A3gh6AOyAKaMAKobb7Y5NHw0EArySAgAAIAN+hQ6gokRHBv1+P4EQQM6YMgrALgiEACqO2+2O\\\n",
       "vbAaAHJBIARgFwRCABXJ6XTyCgoAOSMQArALAiGAikUnDUCuCIQA7IJACAAAkIBACMAuCIQAAAAJ\\\n",
       "CIQA7IIHbAAAAADAphghBAAASMAIIQC7IBACqFiRSKTUTQBQpgiEAOyCQAigIgWDQV5MDyBnBEIA\\\n",
       "dkEgBFBx/H6/IpEI7yEEkDMCIQC7IBACqCh+v1+hUIgX0wPIC4EQgF3QWwJQMaJh0O12y+PxlLo5\\\n",
       "AAAAzR4jhAAqQuMw6PP5FAqFSt0kAGWMEUIAdkEgBFD2EsMggMpn9aJRBEIAdkEgBFDWQqGQIpEI\\\n",
       "YRCwmUgkYumrZQiEAOyCQAigbDmdTsIgYFMOh0PBYFBOp1Nud+G7MwRCAHZBIARQthwOh5xOJ2EQ\\\n",
       "sKFoCAsEApJU8FBIIARgF6wyCqBsGYZhycgAgObP4XDI6/XK4XAoEAiwkBQA5IieFICyZeXzQwCa\\\n",
       "P4fDIZ/PJ7/fHzdSWIgFZxghBGAXBEIAAFC2otPGG4fCYDBYkGMT9ADYAYEQAACUtWgo3LVrl/x+\\\n",
       "f0GOyQghALsgEAIAACQgEAKwCwIhAAAoa5FIJDYyGJ0+mi8CIQC7IBACAICyFQ2DhmHI6/XK7XYX\\\n",
       "ZMEpAiEAu+C1EwDKltPJP2GAnRmG0SQMSgQ0AMgGI4QAypbD4VAoFJLH4yl1UwAUmWEYCgQCsfcR\\\n",
       "8mJ6AMgNgRBA2TIMIzZdzOfzlbo5AIoo+q5BK8KgRCAEYB8EQgBlKxKJyOl0KhQKSRKhELARwzDk\\\n",
       "8XgsCYMSgRCAfRAIAZS16AIShELAXpxOp6XPERMIAdgFgRBA2YuGQEIhYB9WhzACIQC7IBACqAiJ\\\n",
       "odDlcpWyOQAAAGWBNdsBVAyfzye3261QKKRgMFjq5gAoY9ERQrOfbAwdOlStWrWSw+GQ0+lUbW2t\\\n",
       "/v73v1t0JQCQHoEQQEWJhsJIJFKQl1MDsCcrA+GKFSs0cuRIzZ49WzNmzFA4HNZpp52mzZs3W3Q1\\\n",
       "AJAaU0YBVByfz6dIJBJblh4AsmXlM4RbtmyJ+7l379465JBDNHPmTF199dVZHQsA8kUgBFC2HA6H\\\n",
       "DMOIPTfYmMvlUigU0saNG0vQMgBW2rhxoyKRiBwOR9K//4X4ZVAugTDx35u2bduqbdu2Getv2LBB\\\n",
       "ktS5c+csWwkA+SMQAihbbrc747OC8+bNk2EYsWd1oi+zz3WqVy4SzxndZhiGnE5n0dqQeM7oKGr0\\\n",
       "uymGxHNyP7gfudyPaB0rp4XnEggHDBgQt33w4MFasGBB2rqhUEjnn3++2rRpozPPPDOntgJAPgiE\\\n",
       "ACqay+VSOByOdXyjIwcej6eoS8VHIpEm4dXj8RSt4y/t7kQHAgGFw+HY6KrT6ZTH4ylaG1wul4LB\\\n",
       "IPdD3I/Gsr0fkUhE4XC4GE3LyrJly1RbWxv72czo4OGHH65vv/1WS5YssbJpAJASgRBARXO5XPJ6\\\n",
       "vdq5c2dsNKFFixZF7fhHOZ1O+f1+SXsWvyk2l8ulnTt3xsJHixYtit4Gt9vN/fg/3I89srkf4XDY\\\n",
       "8pWEcxkhrK2tzWraZ58+fbRmzRrNnz9f/fv3z6mdAJAvVhkFYMqVV14ph8OhBx54IGPZRx55RN26\\\n",
       "dVNVVZUGDhyoZcuWxe3ftWuXxo4dqw4dOqh169Y6++yztWnTJotavntKVuNnikrxSorEEZDoqEyx\\\n",
       "NW5Dqucvrcb92IP7sVtzuR+NWbnKaCQSUZ8+ffTRRx/p73//u0444QSLrgIAMiMQAsjopZde0rvv\\\n",
       "vqu6urqMZWfOnKkJEyZo0qRJWrlypQ4//HANHTo0bjn16667Ti+//LJmzZqlhQsXasOGDTrrrLMs\\\n",
       "aXs4HFYgEJDD4VCLFi1i7ymMjkQUQyQSkd/vl2EY8vl88vl8MgxDfr+/qJ1ev9+vUCgkt9utFi1a\\\n",
       "yOFwKBAIFDWEhEIh7sf/4X7s1lzuRyIrA2GfPn30r3/9S/fdd59qamr0wQcf6IMPPtB3331n0dUA\\\n",
       "QGoEQgBprV+/XldffbWmT59u6tmm++67T5dddpkuueQSHXLIIZo2bZpatmypJ598UpLU0NCgJ554\\\n",
       "Qvfdd59OOukk9evXT0899ZQWL16sd999t+DtDwaDcjgc8vl8cjqdcS+vL0ant3Fn1+v1yu12y+12\\\n",
       "y+v1FrXT2zh8NP4uihlCGocP7gf3Q2o+9yMVK8KgJH300UeSpPHjx+vwww+PfW644YZCXwIAZEQg\\\n",
       "BJBSJBLRhRdeqOuvv16HHnpoxvKBQEArVqzQkCFDYtucTqeGDBkSWzBhxYoVCgaDcWV69eqlrl27\\\n",
       "WrKoQuPOblSxOr3JOrtRxez0JoaPqGKGkGThI4r7sRv3ozT3IxUrRwgbrzLb+PP4449bdDUAkBqL\\\n",
       "ygBI6Xe/+53cbreuueYaU+W3bNmicDismpqauO01NTX65JNPJEn19fXyer1q165dkzL19fUpj+33\\\n",
       "++M6p9u2bTPVplQrFUY74tFOd+OOeSGk6+xGRbcFAgH5/f4mHfNCSBU+oqIhxO/3KxAIxLWrUNKF\\\n",
       "jyjux27cjz2KcT8AAIwQAvg/06dPV+vWrWOfhQsX6sEHH9TTTz9d1OXnU5kyZYqqq6tjny5dupiq\\\n",
       "l64DadVIiJnObpSVIyGZwkeUlSNTZsJHFPdjN+7HHqUcKbRyhBAAmhMCIQBJ0umnn6733nsv9lm8\\\n",
       "eLE2b96srl27xp7r+fLLL/X//X//n7p165b0GHvvvbdcLleTFUM3bdqkTp06SZI6deqkQCCgrVu3\\\n",
       "piyTzM0336yGhobYZ926dXldb1ShO73ZdHajrOj0mg0fUVaEkGzCRxT3Yzfuxx6lCoUEQgB2QSAE\\\n",
       "IElq06aNDjjggNjn8ssv1wcffBAXEuvq6nT99dfrH//4R9JjeL1e9evXT/PmzYtti0QimjdvngYN\\\n",
       "GiRJ6tevnzweT1yZNWvW6KuvvoqVScbn86lt27Zxn0IpVKc3l85uVCE7vdmGj6hChpBcwkcU92M3\\\n",
       "7scepQiFBEIAdsEzhACS6tChgzp06BC3zePxqFOnTjrooINi204++WSdeeaZGjdunCRpwoQJuuii\\\n",
       "i3TUUUdpwIABeuCBB7R9+3ZdcsklkqTq6mqNGTNGEyZM0F577aW2bdvq6quv1qBBg3T00UcX7wIT\\\n",
       "5PvMVD6d3ahCPDOVa/iIKsQzbPmEjyjux27cjz0a349ivCsxlxfTA0A5IhACyMtnn32mLVu2xH4+\\\n",
       "77zz9M0332jixImqr69X37599dprr8UtNHP//ffL6XTq7LPPlt/v19ChQzV16tRSND9Orp3eQnR2\\\n",
       "o/IJIfmGj6h8QkghwkcU92M37sce0brFeCUGgRCAXTgMwzBK3QgAyNa2bdt03333ZeyIVVVVyeVy\\\n",
       "ZXXsbDryhezsNpZtR75Q4aOxbK+tkOGjMe7HbtyPPcyMEt52221qaGjIenr5119/rS5dumjDhg2m\\\n",
       "627btk11dXVat26dOnfunNX5AKDUeIYQABKYfWbKqs6ulN0zU1aEDym7Z9isCh8S9yOK+7FHtr/k\\\n",
       "AQCkRiAEgCQydXqt7OxGmQkhVoWPKDMhxMrwEcX92I37UTwsKgPALgiEAJBCqk5vMTu76UKI1eEj\\\n",
       "Kl0IKUb4iOJ+7Mb9KA4CIQC7KM9/pQGgSBIX0vB4PEXv7CZb2CQYDBYlfEQlW9gk2qZihI8o7sdu\\\n",
       "3A/rsagMALso33+pAaBIGnd6Q6GQHA5H0Tu7jUPIzp07Y9uKET6iGoeQ6IhQdFsxwkcU92M37oe1\\\n",
       "CIQA7IIpowBggsfjif3Z4XCUpLPrdrvjOp6N21QsTqcz7rwej6eo4aPxeaO4H9wPKzBlFIBdEAgB\\\n",
       "IIPoM1EOh0NOpzP2c7FFn1lzOp1yOBwZV7u0QuNn1MysdmkF7sce3A8AQL7K/1d4AGChZAtkRBcP\\\n",
       "kcy/nDtfiQuWRINAti9Lz0figiXRdmX7svR8cD/24H5YiymjAOyCQAgAKaRaLTFxIQ2rO73JVq9M\\\n",
       "trCJlSEk1eqViQubWBlCuB97cD+sRyAEYBdMGQWAJDItnW/25dz5Svcqg2xelp6PdK8yyOZl6fng\\\n",
       "fuzB/SgOniEEYBcEQgBIYPY9alZ3es28187qEGLmvXZWhxDuxx7cj+IhEAKwCwIhADSS7Uu1rer0\\\n",
       "ZvOSc6tCSDYvObcqhHA/9uB+7BEMBgt2rFQIhADsgkAIAP8n285uVKE7vdmEj6hCh5BswkdUoUMI\\\n",
       "92MP7scefr9f4XA47+MAAHZjURkAZckwDFPlwuGwqc64YRixUQe32x33sxlOp1NOp1OhUEiRSCTn\\\n",
       "xTyi9aPHy3YkxOVyKRQKaefOnfJ4PDmNXEQikVh4cLvdCofDWXXAXS6XgsFgrOOey+Iq3I89uB97\\\n",
       "ROubZfbfiWR++OEH0/frhx9+yPk8AFBqDiOffy0BoES+/vprdenSpdTNANCMrVu3Tp07d86qztat\\\n",
       "W9WhQ4esR3WdTqe+/fZbtWvXLqt6AFBqBEIAZSkSiWjDhg1q06aNrZ/f2bZtm7p06aJ169apbdu2\\\n",
       "pW5OyfA97Mb3sJthGPrhhx9UV1eX04jo1q1b9d///jerOq1btyYMAihLTBkFUJacTmfWv/mvZG3b\\\n",
       "trV1AIjie9iN70Gqrq7OuW67du0IdwBsg0VlAAAAAMCmCIQAAAAAYFMEQgAoYz6fT5MmTTL9OoRK\\\n",
       "xfewG98DACBbLCoDAAAAADbFCCEAAAAA2BSBEAAAAABsikAIAAAAADZFIASAZiQYDOrGG29U7969\\\n",
       "1apVK9XV1Wn06NHasGFDxrqPPPKIunXrpqqqKg0cOFDLli2L279r1y6NHTtWHTp0UOvWrXX22Wdr\\\n",
       "06ZNVl1KXjJdS6JZs2apV69eqqqqUu/evfXqq6/G7TcMQxMnTlRtba1atGihIUOG6NNPP7XyEvI2\\\n",
       "ZcoU9e/fX23atNE+++yj4cOHa82aNRnrVeJ3AQCwDoEQAJqRHTt2aOXKlbr11lu1cuVK/eUvf9Ga\\\n",
       "NWt0+umnp603c+ZMTZgwQZMmTdLKlSt1+OGHa+jQodq8eXOszHXXXaeXX35Zs2bN0sKFC7Vhwwad\\\n",
       "ddZZVl9S1sxcS2OLFy/WyJEjNWbMGK1atUrDhw/X8OHD9eGHH8bK3H333XrooYc0bdo0LV26VK1a\\\n",
       "tdLQoUO1a9euYl1W1hYuXKixY8fq3Xff1dy5cxUMBnXKKado+/btKetU6ncBALCQAQBo1pYtW2ZI\\\n",
       "Mr788suUZQYMGGCMHTs29nM4HDbq6uqMKVOmGIZhGFu3bjU8Ho8xa9asWJnVq1cbkowlS5ZY1/gc\\\n",
       "ZLqWROeee64xbNiwuG0DBw40rrjiCsMwDCMSiRidOnUy7rnnntj+rVu3Gj6fz3jhhRcsuAJrbN68\\\n",
       "2ZBkLFy4MGUZu3wXAIDCYYQQAJq5hoYGORwOtWvXLun+QCCgFStWaMiQIbFtTqdTQ4YM0ZIlSyRJ\\\n",
       "K1asUDAYjCvTq1cvde3aNVamOTBzLYmWLFkSV16Shg4dGiu/du1a1dfXx5Wprq7WwIEDm9W1Z9LQ\\\n",
       "0CBJ2muvvVKWsct3AQAoHAIhADRju3bt0o033qiRI0eqbdu2Scts2bJF4XBYNTU1cdtrampUX18v\\\n",
       "Saqvr5fX620SKhuXaQ7MXEui+vr6jNce3Wb2mM1NJBLR+PHjdeyxx+qwww5LWc4O3wUAoLAIhABQ\\\n",
       "QtOnT1fr1q1jn7feeiu2LxgM6txzz5VhGHr00UdL2EqU2tixY/Xhhx9qxowZpW4KAKDCuEvdAACw\\\n",
       "s9NPP10DBw6M/bzvvvtK2hMGv/zyS82fPz/l6KAk7b333nK5XE1WDN20aZM6deokSerUqZMCgYC2\\\n",
       "bt0aN0rYuExzYOZaEnXq1CnjtUe31dbWxpXp27dvAVtvjXHjxulvf/ubFi1apM6dO6ctW+nfBQCg\\\n",
       "8BghBIASatOmjQ444IDYp0WLFrEw+Omnn+qNN95Qhw4d0h7D6/WqX79+mjdvXmxbJBLRvHnzNGjQ\\\n",
       "IElSv3795PF44sqsWbNGX331VaxMc2DmWhINGjQorrwkzZ07N1a+e/fu6tSpU1yZbdu2aenSpc3q\\\n",
       "2hMZhqFx48bppZde0vz589W9e/eMdSr1uwAAWKjUq9oAAPYIBALG6aefbnTu3Nl47733jI0bN8Y+\\\n",
       "fr8/Vu6kk04y/vCHP8R+njFjhuHz+Yynn37a+Pjjj43LL7/caNeunVFfXx8rc+WVVxpdu3Y15s+f\\\n",
       "byxfvtwYNGiQMWjQoKJenxmZruXCCy80brrpplj5d955x3C73cbvf/97Y/Xq1cakSZMMj8dj/Otf\\\n",
       "/4qV+e1vf2u0a9fOmDNnjvHBBx8YZ5xxhtG9e3dj586dRb8+s6666iqjurraWLBgQdx/Bzt27IiV\\\n",
       "sct3AQCwDoEQAJqRtWvXGpKSft58881Yuf3228+YNGlSXN0//OEPRteuXQ2v12sMGDDAePfdd+P2\\\n",
       "79y50/jFL35htG/f3mjZsqVx5plnGhs3bizCVWUv3bUMHjzYuOiii+LKv/jii8aBBx5oeL1e49BD\\\n",
       "DzVeeeWVuP2RSMS49dZbjZqaGsPn8xknn3yysWbNmmJcSs5S/Xfw1FNPxcrY5bsAAFjHYRiGUZqx\\\n",
       "SQAAAABAKfEMIQAAAADYFIEQAAAAAGyKQAgAAAAANkUgBAAAAACbIhACAAAAgE0RCAEAAADApgiE\\\n",
       "AAAAAGBTBEIAAAAAsCkCIQCgLDzxxBM65ZRTLD/Pa6+9pr59+yoSiVh+LgAASo1ACABo9nbt2qVb\\\n",
       "b71VkyZNsvxcp556qjwej6ZPn275uQAAKDUCIQCg2fvzn/+stm3b6thjjy3K+S6++GI99NBDRTkX\\\n",
       "AAClRCAEABTNN998o06dOumuu+6KbVu8eLG8Xq/mzZuXst6MGTN02mmnxW078cQTNX78+Lhtw4cP\\\n",
       "18UXXxz7uVu3brrzzjs1evRotW7dWvvtt5/++te/6ptvvtEZZ5yh1q1bq0+fPlq+fHnccU477TQt\\\n",
       "X75cn332We4XCwBAGSAQAgCKpmPHjnryySd12223afny5frhhx904YUXaty4cTr55JNT1nv77bd1\\\n",
       "1FFH5XTO+++/X8cee6xWrVqlYcOG6cILL9To0aM1atQorVy5Uj169NDo0aNlGEasTteuXVVTU6O3\\\n",
       "3norp3MCAFAuCIQAgKL6yU9+ossuu0wXXHCBrrzySrVq1UpTpkxJWX7r1q1qaGhQXV1dzue74oor\\\n",
       "1LNnT02cOFHbtm1T//79NWLECB144IG68cYbtXr1am3atCmuXl1dnb788suczgkAQLkgEAIAiu73\\\n",
       "v/+9QqGQZs2apenTp8vn86Usu3PnTklSVVVVTufq06dP7M81NTWSpN69ezfZtnnz5rh6LVq00I4d\\\n",
       "O3I6JwAA5YJACAAous8++0wbNmxQJBLRF198kbZshw4d5HA49P3332c8bjgcbrLN4/HE/uxwOFJu\\\n",
       "S3zNxHfffaeOHTtmPCcAAOWMQAgAKKpAIKBRo0bpvPPO0x133KGf//znTUbnGvN6vTrkkEP08ccf\\\n",
       "N9mXOM3z888/L0gbd+3apc8++0xHHHFEQY4HAEBzRSAEABTVr3/9azU0NOihhx7SjTfeqAMPPFCX\\\n",
       "Xnpp2jpDhw7V22+/3WT7nDlz9Je//EWfffaZfvOb3+jjjz/Wl19+qfXr1+fVxnfffVc+n0+DBg3K\\\n",
       "6zgAADR3BEIAQNEsWLBADzzwgJ599lm1bdtWTqdTzz77rN566y09+uijKeuNGTNGr776qhoaGuK2\\\n",
       "Dxs2THfffbcOOeQQLVq0SFOnTtWyZcv07LPP5tXOF154QRdccIFatmyZ13EAAGjuHEbjdbYBAGim\\\n",
       "RowYoSOPPFI333yzpN3vIezbt68eeOCBgp5ny5YtOuigg7R8+XJ17969oMcGAKC5YYQQAFAW7rnn\\\n",
       "HrVu3dry83zxxReaOnUqYRAAYAuMEAIAypJVI4QAANgJgRAAAAAAbIopowAAAABgUwRCAAAAALAp\\\n",
       "AiEAAAAA2BSBEAAAAABsikAIAAAAADZFIAQAAAAAmyIQAgAAAIBNEQgBAAAAwKYIhAAAAABgUwRC\\\n",
       "AAAAALApAiEAAAAA2BSBEAAAAABsikAIAAAAADZFIAQAAAAAm/r/AQi9sppZnpnSAAAAAElFTkSu\\\n",
       "QmCC\\\n",
       "\"\n",
       "  frames[1] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAo2tJREFUeJztvXuclHXd//+a2d057S4LAoJ4QG6SwMRQVCItLSm6IxU1M8pj\\\n",
       "pmVYEndpdquoWZSVp1vNb2Va5iksMQ+3ZXhO1AStTDJv8pS4gCksO8fd2ev3h7/Xh/d17cweZ3Zn\\\n",
       "Z17Px2MesDPXXNfnuq61rifvU8jzPA9CCCGEEEIIIWqO8HAvQAghhBBCCCHE8CAhFEIIIYQQQoga\\\n",
       "RUIohBBCCCGEEDWKhFAIIYQQQgghahQJoRBCCCGEEELUKBJCIYQQQgghhKhRJIRCCCGEEEIIUaNI\\\n",
       "CIUQQgghhBCiRpEQCiGEEEIIIUSNIiEUQgghhBBCiBpFQiiEEEIIIYQQNYqEUAghhBBCCCFqFAmh\\\n",
       "EEIIIYQQQtQoEkIhhBBCCCGEqFEkhEIIIQbEQw89hFAohIceemi4lyJKzFNPPYVIJIJXXnllyI/9\\\n",
       "73//G42Njbj33nuH/NhCCFGLSAiFEEL0yDXXXIMbbrhhuJcxIG6++WZcfvnlw70MAEBXVxcuueQS\\\n",
       "TJkyBbFYDHvvvTduueWWPn9/y5YtOO200zB+/Hg0NjbiQx/6ENauXdttu9tuuw3HHXcc9thjD4RC\\\n",
       "IRxyyCH9Xut///d/Y9GiRZg8eXK/vztYxo4di89//vM477zzhvzYQghRi4Q8z/OGexFCCCEql732\\\n",
       "2gvjxo3rFgns6upCLpdDJBJBOFyZ/774iU98As899xxefvnl4V4KzjnnHHz3u9/Fqaeeiv333x93\\\n",
       "3nkn7rnnHtxyyy349Kc/3eN3u7q68IEPfAB//vOf8fWvfx3jxo3DNddcg9deew1r1qzBHnvs4bY9\\\n",
       "5JBDsGbNGuy///549tlnsffee/crivvss89in332weOPP465c+cO9HQHxbp167Dnnnti1apV+PCH\\\n",
       "PzwsaxBCiFpBQiiEEH0gmUyisbFxuJcxLBQTwpFApQjh66+/jilTpuC0007DVVddBQDwPA8HH3ww\\\n",
       "XnrpJbz88suoq6sr+v1f/epXOPbYY7FixQp88pOfBABs3rwZ06ZNw3/+53/i5ptvdtu+9tpr2Hnn\\\n",
       "nREOhwd0784880ysXLkSL7/8MkKh0MBOuATMnDkT++yzD37xi18M2xqEEKIWqMx/0hVCiDLy+uuv\\\n",
       "45RTTsGkSZMQjUYxZcoUnH766cjlcgCAG264AaFQCA8//DC+9KUvYccdd8Quu+zivn/NNdfgPe95\\\n",
       "D6LRKCZNmoTFixdjy5YtvmO8+OKLOProozFx4kTEYjHssssu+PSnP42tW7e6be6//34cdNBBGD16\\\n",
       "NJqamvDud78b3/zmN3tdf1++l81msWzZMrzrXe9CNBrFrrvuirPOOgvZbLbb/n75y1/igAMOQCKR\\\n",
       "wJgxY/DBD34Qv//97wEAu+++O/72t7/h4YcfRigU8qUgFqshXLFiBWbPno14PI5x48bhuOOOw+uv\\\n",
       "v+7b5qSTTkJTUxNef/11LFy4EE1NTRg/fjy+9rWvIZ/P93oN7rzzTixYsMDdw6lTp+Jb3/qW77uH\\\n",
       "HHII7rnnHrzyyitu7bvvvnvRfZ500kluu+Drggsu6HVNva23o6MDX/rSl9x7oVAIp59+Ov71r39h\\\n",
       "9erVPX7/9ttvx4QJE3DUUUe598aPH49PfepTuPPOO333dddddx1UxHblypX48Ic/3E0Gi12H3Xff\\\n",
       "HSeddJL7mf/9PPbYY/jKV76C8ePHY/To0fjCF76AXC6HLVu24IQTTsCYMWMwZswYnHXWWSj0b9Mf\\\n",
       "+chHcNdddxX8TAghROmoH+4FCCHEULJhwwYccMABrh5r+vTpeP3113H77bcjlUohEom4bb/0pS9h\\\n",
       "/PjxOP/885FMJgEAF1xwAS688ELMmzcPp59+Ol544QX86Ec/wp/+9Cf88Y9/RENDA3K5HObPn49s\\\n",
       "Nosvf/nLmDhxIl5//XXcfffd2LJlC1paWvC3v/0Nn/jEJ7D33nvjoosuQjQaxf/93//hj3/8Y4/r\\\n",
       "78v3urq6cPjhh+Oxxx7DaaedhhkzZuCvf/0rLrvsMvzjH//AypUr3bYXXnghLrjgArz//e/HRRdd\\\n",
       "hEgkgieffBIPPPAAPvrRj+Lyyy/Hl7/8ZTQ1NeG///u/AQATJkwour4bbrgBJ598Mvbff38sX74c\\\n",
       "GzduxBVXXIE//vGPeOaZZzB69Gi3bT6fx/z58zFnzhz84Ac/wB/+8Af88Ic/xNSpU3H66af3eB1u\\\n",
       "uOEGNDU1YenSpWhqasIDDzyA888/H21tbfj+978P4J06uK1bt+Jf//oXLrvsMgBAU1NT0X1+4Qtf\\\n",
       "wLx583zv3Xfffbjpppuw4447uvfefPPNHtdGmpubEY1GAQDPPPMMGhsbMWPGDN82BxxwgPv8oIMO\\\n",
       "KrqvZ555Bvvuu2830TvggAPw4x//GP/4xz8wc+bMPq2rJ15//XW8+uqr2HfffQe9L/7uX3jhhXji\\\n",
       "iSfw4x//GKNHj8bjjz+O3XbbDd/5zndw77334vvf/z722msvnHDCCb7vz549G5dddhn+9re/Ya+9\\\n",
       "9hr0eoQQQhTBE0KIGuKEE07wwuGw96c//anbZ11dXZ7ned7111/vAfAOOuggr7Oz032+adMmLxKJ\\\n",
       "eB/96Ee9fD7v3r/qqqs8AN7PfvYzz/M875lnnvEAeCtWrCi6jssuu8wD4G3evLlf6+/L92688UYv\\\n",
       "HA57jz76qO/9a6+91gPg/fGPf/Q8z/NefPFFLxwOe0ceeaTvfDxv+7XwPM97z3ve4x188MHdjvPg\\\n",
       "gw96ALwHH3zQ8zzPy+Vy3o477ujttddeXjqddtvdfffdHgDv/PPPd++deOKJHgDvoosu8u1zn332\\\n",
       "8WbPnt3zRfA8L5VKdXvvC1/4gpdIJLxMJuPeW7BggTd58uRe91eIF1980WtpafE+8pGP+H4PAPTp\\\n",
       "df311/vW8R//8R/djpFMJj0A3je+8Y0e19LY2Oh97nOf6/b+Pffc4wHw7rvvvoLfK3bvivGHP/zB\\\n",
       "A+Dddddd3T4D4C1btqzb+5MnT/ZOPPFE9zP/+5k/f77v92ju3LleKBTyvvjFL7r3Ojs7vV122aXg\\\n",
       "Gh9//HEPgHfbbbf1ef1CCCH6j1JGhRA1Q1dXF1auXInDDjsM++23X7fPgylyp556qq+u6w9/+ANy\\\n",
       "uRyWLFnii9SceuqpGDVqFO655x4AQEtLCwDgd7/7HVKpVMG1MFJ25513oqurq8/n0JfvrVixAjNm\\\n",
       "zMD06dPx5ptvuhebczz44IMA3kkN7Orqwvnnn98t8jSQ2rGnn34amzZtwpe+9CXEYjH3/oIFCzB9\\\n",
       "+nR3fSxf/OIXfT9/4AMfwD//+c9ejxWPx93ft23bhjfffBMf+MAHkEql8Pe//73faw+STCZx5JFH\\\n",
       "YsyYMbjlllt8vwf3339/n17z589330mn0y5aaOF1SqfTPa5nsN/vK//+978BAGPGjBn0vk455RTf\\\n",
       "79GcOXPgeR5OOeUU915dXR3222+/gveca+hrRFYIIcTAUMqoEKJm2Lx5M9ra2vqcfjZlyhTfz5zJ\\\n",
       "9u53v9v3fiQSwX/8x3+4z6dMmYKlS5fi0ksvxU033YQPfOADOPzww3Hcccc5WTz22GPx05/+FJ//\\\n",
       "/OfxjW98A4ceeiiOOuoofPKTn+yx/qsv33vxxRexbt06jB8/vuA+Nm3aBABYv349wuEw9txzzz5d\\\n",
       "j94odn0AYPr06Xjsscd878VisW5rHDNmDN5+++1ej/W3v/0N5557Lh544AG0tbX5PrN1mgPl1FNP\\\n",
       "xfr16/H4449j7Nixvs+CaaV9IR6PF6zfzGQy7vNyfr+/eCWo29ttt918P/N3f9ddd+32fqF7zjUM\\\n",
       "Z2MbIYSoBSSEQghRhME8ZP/whz/ESSedhDvvvBO///3v8ZWvfAXLly/HE088gV122QXxeByPPPII\\\n",
       "HnzwQdxzzz247777cNttt+HDH/4wfv/73xftONmX73V1dWHmzJm49NJLC+4j+EA+XPTUVbMntmzZ\\\n",
       "goMPPhijRo3CRRddhKlTpyIWi2Ht2rU4++yz+xVxLcQVV1yBW265Bb/85S8xa9asbp+3trb2aT8t\\\n",
       "LS3ud2innXbCgw8+CM/zfILzxhtvAAAmTZrU47522mknt62lr9/vK5Tfvkg5KSaPxe5vofcL7YNr\\\n",
       "GDduXJ/XIoQQov8oZVQIUTOMHz8eo0aNwnPPPTeg73NI9wsvvOB7P5fL4aWXXuo2xHvmzJk499xz\\\n",
       "8cgjj+DRRx/F66+/jmuvvdZ9Hg6Hceihh+LSSy/F888/j29/+9t44IEHXEpnMXr73tSpU/HWW2/h\\\n",
       "0EMPxbx587q9GMGbOnUqurq68Pzzz/d4vL5GaIpdH75XqiHnDz30EP7973/jhhtuwJlnnolPfOIT\\\n",
       "mDdvXsE0x/5Glx599FF87Wtfw5IlS/DZz3624DY77bRTn1633Xab+86sWbOQSqWwbt06376efPJJ\\\n",
       "93lPzJo1C2vXru0mu08++SQSiQSmTZvWr/MsxvTp0wEAL730UsHPt23b1u09RpxLDdcQbMQjhBCi\\\n",
       "tEgIhRA1QzgcxsKFC3HXXXfh6aef7vZ5b2ly8+bNQyQSwZVXXunb9rrrrsPWrVuxYMECAEBbWxs6\\\n",
       "Ozt93505cybC4bBL+3vrrbe67Z9SUCg1kPTle5/61Kfw+uuv4yc/+Um3bdPptOuYunDhQoTDYVx0\\\n",
       "0UXdRMOeX2NjY7exGoXYb7/9sOOOO+Laa6/1ncP//u//Yt26de76DBZGmOwac7kcrrnmmm7bNjY2\\\n",
       "9jmF9I033sCnPvUpHHTQQa5TaSEGUkN4xBFHoKGhwbdGz/Nw7bXXYuedd8b73/9+3zr+/ve/o6Oj\\\n",
       "w733yU9+Ehs3bsRvfvMb996bb76JFStW4LDDDitYXzgQdt55Z+y6664F//sA0G3EyP/+7/8ik8mU\\\n",
       "ZTTEmjVr0NLSgve85z0l37cQQojtKGVUCFFTfOc738Hvf/97HHzwwW4kwxtvvIEVK1bgscce841F\\\n",
       "CDJ+/Hicc845uPDCC/Gxj30Mhx9+OF544QVcc8012H///XHccccBAB544AGcccYZOOaYYzBt2jR0\\\n",
       "dnbixhtvRF1dHY4++mgAwEUXXYRHHnkECxYswOTJk7Fp0yZcc8012GWXXXocP9CX7x1//PH41a9+\\\n",
       "hS9+8Yt48MEHceCBByKfz+Pvf/87fvWrX+F3v/sd9ttvP7zrXe/Cf//3f+Nb3/oWPvCBD+Coo45C\\\n",
       "NBrFn/70J0yaNAnLly8H8E77/x/96Ee4+OKL8a53vQs77rija1BjaWhowPe+9z2cfPLJOPjgg7Fo\\\n",
       "0SI3dmL33XfHV7/61YHeNh/vf//7MWbMGJx44on4yle+glAohBtvvLGglMyePRu33XYbli5div33\\\n",
       "3x9NTU047LDDCu73K1/5CjZv3oyzzjoLt956q++zvffeG3vvvTeAgdUQ7rLLLliyZAm+//3vo6Oj\\\n",
       "A/vvvz9WrlyJRx99FDfddJMvjfKcc87Bz3/+c7z00ktubuInP/lJvO9978PJJ5+M559/HuPGjcM1\\\n",
       "11yDfD6PCy+80HesRx55BI888giAd+pmk8kkLr74YgDABz/4QXzwgx/sca1HHHEE7rjjjm7prQCw\\\n",
       "bt06fPzjH8fhhx+ODRs24IorrkBLSwsef/xx3HLLLVi0aFG/r00x7r//fhx22GGqIRRCiHIzHK1N\\\n",
       "hRBiOHnllVe8E044wRs/frwXjUa9//iP//AWL17sZbNZz/O2t80vNJrC894ZMzF9+nSvoaHBmzBh\\\n",
       "gnf66ad7b7/9tvv8n//8p/e5z33Omzp1qheLxbwddtjB+9CHPuT94Q9/cNusWrXKO+KII7xJkyZ5\\\n",
       "kUjEmzRpkrdo0SLvH//4R49r7+v3crmc973vfc97z3ve40WjUW/MmDHe7NmzvQsvvNDbunWrb9uf\\\n",
       "/exn3j777OO2O/jgg73777/ffd7a2uotWLDAa25u9gC4EQHBsRPktttuc/vbYYcdvM9+9rPev/71\\\n",
       "L982J554otfY2Njt/JYtW+b15f+a/vjHP3rve9/7vHg87k2aNMk766yzvN/97nfd1tPe3u595jOf\\\n",
       "8UaPHu0B6HEExcEHH1x0hEShcQv9JZ/Pe9/5zne8yZMne5FIxHvPe97j/fKXv+y2HUdyvPTSS773\\\n",
       "33rrLe+UU07xxo4d6yUSCe/ggw8u+DvKazjQ81i7dq0HoNvYEgDe0qVLvWOOOcaLx+PeTjvt5F11\\\n",
       "1VXetdde6yUSCe/zn/+853nF//vhuoIjUwr9Lqxbt84D4PtvRgghRHkIeV4Z8jyEEEIIMWI59NBD\\\n",
       "MWnSJNx4443uvVAohGXLluGCCy4o+/GXLFmCRx55BGvWrFGEUAghyoxqCIUQQgjh4zvf+Q5uu+02\\\n",
       "N0pkKPn3v/+Nn/70p7j44oslg0IIMQSohlAIIYQQPubMmYNcLjcsxx47diza29uH5dhCCFGLKEIo\\\n",
       "hBBCCCGEEDWKIoRCCCGE6BW1HBBCiOpEEUIhhBBCCCGEqFEkhEIIIYQQQghRoyhlVAgxIunq6sKG\\\n",
       "DRvQ3NysToRCCB+e52Hbtm2YNGkSwuH+/9t3a2sr3n777X59Z8yYMZg4cWK/jyWEEMONhFAIMSLZ\\\n",
       "sGEDfvrTn/a63WDqniiaxfZhRbRc9VV9OUZv6yzlOkbCGsq5Dt2P/q+hXOvo7R+CLrzwQrz22mvY\\\n",
       "ZZdd+rXf1tZW7LTTTgNa0xtvvCEpFEKMOCSEQogRSXNzM4DeHwpLET3syz6GIko5FOdaDWuolHVo\\\n",
       "DUO7jkLwfyf6Q38jg8Hv9lUIzzzzTFx77bVuvMdRRx2FX//61wCArVu3YsaMGWhtbXUy3dTUhNtv\\\n",
       "vx3z588f8PqEEKIQEkIhxIikrw+YoVCoXyljXV1d7gGsr9/N5/Pu73V1dX0+Vin3OZB1l3qflbAG\\\n",
       "QPejktYAlP9+9MRgRbSv3x9IBPStt97CjjvuiP322w8rV670ffbaa69h8+bN+M///E8sXLgQ//zn\\\n",
       "P3HJJZfg4x//eJ/PXQgh+oqEUAgh/n8G+gBdV1fnHtLy+fygH3oH8gAdDofd+j3PQ1dX16AEYCDX\\\n",
       "ohLWAOh+VNIagPLej3ISCoX6JZT9lcIbb7zRdyzLXnvthY6ODt97kUgEF110Ee644w4ceeSR/TqW\\\n",
       "EEL0hIRQCCEw+GhKqR56BxNNKZUADOZaVMIaAN2PSloDUJ77UW4GIoTr16/3vTdu3DiMHz++JOvZ\\\n",
       "sGEDAGD69Okl2Z8QQhAJoRCi5ilVat1gH3pLkVo3WAEoxbWohDUAuh+VtAagtPcjFAqVtWEOj9Hf\\\n",
       "lNPDDjvM9/PkyZPx8ssvD3otra2tuO6665BIJDBjxoxB708IISwSQiFETVPqOquBPvSWss5qoAJQ\\\n",
       "ymtRCWsAdD8qaQ1A6e5HV1fXoNbRFwYihHfddRemTp3qfh43btyg17F161ZMnjwZAPD0008Pen9C\\\n",
       "CBFEQiiEqFnK0XQD6P9DbzmabvRXAMpxLSphDYDuRyWtAaiM+9EXBiKEU6dOLWkEb+vWrZgwYQI6\\\n",
       "OjrwxBNPKDoohCgLpflfdyGEqFCKpZWV62GX2AfXnuqeyvmwGw6HfbPiikVVynktKmENgO5HJa0B\\\n",
       "qIz7UelQBnO5HB599FEccMABw70kIUSVogihEKLqCUZCyv2wS3qLhAzFw25vUaGhuBaVsAZA96OS\\\n",
       "1gBUxv3oiYFECPvD+vXrcfvtt7uf//GPf+B73/sepk2bhg9/+MOYMGECstksvve97yGbzeKBBx4A\\\n",
       "AMyaNQs77LBD2dYlhKg9JIRCiKrHPvQO1cMuKfbQO5QPu8UEYCivRSWsAdD9qKQ1AJVxP4pRbiG8\\\n",
       "7LLLcPXVV7ufn3vuOXzjG99Ac3MzrrvuOmSzWQDA2Wef7fve4sWLcdVVV5VtXUKI2kNCKISoCfjQ\\\n",
       "O5QPuyT40Bv8bCgoJABDfS0qYQ2A7kclrQGojPtRiHIL4VVXXdWj2JW7i6oQQhDVEAohqhr7UDcc\\\n",
       "D7uk0IPtUD/sBuvHgKG/FpWwBkD3o5LWAFTG/QjC/+3o60sIIUYqihAKIYQQQgSQ6AkhagVFCIUQ\\\n",
       "VQ3T4QD0qbtiuSjUSbGn7orlIJgSCAz9taiENQC6H5W0BqAy7ocQQtQqEkIhRE3ANLjheOgNNsjo\\\n",
       "a8v9UlKoPmyor0UlrAHQ/aikNQCVcT8KoZRRIUStICEUQvSZ7373uwiFQliyZEmP261YsQLTp09H\\\n",
       "LBbDzJkzce+99/o+9zwP559/PnbaaSfE43HMmzcPL774YtnWbWuihvqht1i3xKF86C3WLGQor0Ul\\\n",
       "rAHQ/aikNQCVcT+KISEUQtQKEkIhRJ/405/+hP/3//4f9t577x63e/zxx7Fo0SKccsopeOaZZ7Bw\\\n",
       "4UIsXLgQzz33nNvmkksuwZVXXolrr70WTz75JBobGzF//nxkMpmyrD3YIGOoHnp7a50/FA+9vXWO\\\n",
       "HIprUQlrAHQ/KmkNQGXcj56QEAohagUJoRCiV9rb2/HZz34WP/nJTzBmzJget73iiivwsY99DF//\\\n",
       "+tcxY8YMfOtb38K+++7r2qt7nofLL78c5557Lo444gjsvffe+MUvfoENGzZg5cqVJV97sQe1cj/0\\\n",
       "9nWOWjkfevs6RqCc16IS1gDoflTSGoDKuB+9ISEUQtQKEkIhRK8sXrwYCxYswLx583rddvXq1d22\\\n",
       "mz9/PlavXg0AeOmll9Da2urbpqWlBXPmzHHbFCKbzaKtrc33Gizleujt71Dtcjz09nemXDmuRSWs\\\n",
       "AdD9qKQ1AJVxP/qChFAIUStICIUQPXLrrbdi7dq1WL58eZ+2b21txYQJE3zvTZgwAa2tre5zvlds\\\n",
       "m0IsX74cLS0t7rXrrrv25zSKUuqH3v4+7BbadrAPvQMdMF7Ka1EJawB0PyppDUBl3A8hhBB+JIRC\\\n",
       "iKK89tprOPPMM3HTTTchFosN61rOOeccbN261b1ee+21ku27VA+9A33YLfSdgT70DvTBn5TiWlTC\\\n",
       "GgDdj0paA1Da+8HzKSeKEAohagUJoRCiKGvWrMGmTZuw7777or6+HvX19Xj44Ydx5ZVXor6+vuBD\\\n",
       "8sSJE7Fx40bfexs3bsTEiRPd53yv2DaFiEajGDVqlO9VSgb70DvYh91C3+2vhAz2wZ8M5lpUwhoA\\\n",
       "3Y9KWgNQnvtRbiSEQohaQUIohCjKoYceir/+9a949tln3Wu//fbDZz/7WTz77LMFH87mzp2LVatW\\\n",
       "+d67//77MXfuXADAlClTMHHiRN82bW1tePLJJ902w8VAH3pL9bBbaB99lZBSPfiTgVyLSlgDoPtR\\\n",
       "SWsAyns/yo1kUAhRC9QP9wKEEJVLc3Mz9tprL997jY2NGDt2rHv/hBNOwM477+xqDM8880wcfPDB\\\n",
       "+OEPf4gFCxbg1ltvxdNPP40f//jHAN55wFqyZAkuvvhi7LHHHpgyZQrOO+88TJo0CQsXLhzS8ytE\\\n",
       "OBx2D9J86O3pQbrUD7t2X9x3Pp/vcd+lfvAn/bkWlbAGQPejktYAlO9+hEKhsqeN9kf2JIVCiJGM\\\n",
       "hFAIMSheffVV3wPh+9//ftx8880499xz8c1vfhN77LEHVq5c6RPLs846C8lkEqeddhq2bNmCgw46\\\n",
       "CPfdd9+w1ymSvj70luth1+6zNwkp14M/6cu1qIQ1ALoflbQGoPz3o9xICIUQtULIG4rKbCGEKDFt\\\n",
       "bW249NJLe30QG8wDcU8P1kP5sFvsWOV+8LcUO1YlrAHQ/ai1+2GPXYwLLrgAW7du7Xe98bp167Dn\\\n",
       "nnti3Lhxfb5+XV1dePPNN/H8889jxowZ/TqeEEIMN4oQCiGqmlLNT/M8D/l8vluqWigUKvnQ7iD2\\\n",
       "mIXWQMq9DsJrUYihXoPuR23eD/1bthBClA4JoRCi6inlw2NwX8PxYFromJXwgFwJ16IS1jBc66iE\\\n",
       "NVTC/SgVShkVQtQKEkIhxIjF87yiD218EN13330xefLkoV6aEKKMvPLKK1i7di0Av4yVUkAlhEKI\\\n",
       "WkFCKIQY8RSq82GN0eTJk7H33nsPw6qEEOVk7dq13eonS4mEUAhRK0gIhRBCCDGiCTa4KUWkUEIo\\\n",
       "hKgVJIRCCCGEGLEU6nZarMlOf5AQCiFqBQmhEGLEoocwIWqbYEfTco7ZEEKIakVCKIQY8RQbjC2E\\\n",
       "qA3KIYOKEAohagUJoRBixMIuo5w1KCkUovYoV2RQQiiEqBUkhEKIqkBSKERtUq7/5iWEQohaQUIo\\\n",
       "hBjxMEooKRSitiiniEkIhRC1goRQCDHiCYfDrtMgpVAIIQaDhFAIUSvon9GFEFVBOBx2D2UUQyGE\\\n",
       "EEII0TOKEAohqgYbKRRCiMGgCKEQolaQEAohqgpJoRCiFEgIhRC1goRQCFF1hMNh5PP54V6GEGIE\\\n",
       "IyEUQtQKEkIhRFXCzqNCCDEQJIRCiFpBQiiEEEIIUQCJnhCiFlCXUSGEEEIIIYSoURQhFEIIIYQI\\\n",
       "oJRRIUStICEUQgghhAggIRRC1AoSQiGEEEKIABJCIUStICEUQgghhAggIRRC1AoSQiFEVaKRE0KI\\\n",
       "wSAhFELUChJCIUTVoaH0QojBIiEUQtQKGjshhKgqJINCCCGEEH1HEUIhRNVgZTAUCiltVAgxYBQh\\\n",
       "FELUChJCIURVYGWwrq4OXV1dw7gaIcRIR0IohKgVlDIqhBjxBGVQCCEGC4Wwr6/+cuaZZyIajbrv\\\n",
       "H3300b7P8/k8dtttN/d5Q0MDbrjhhhKdnRBCbEdCKISoGiSDQtQW5UwLL7cQvvXWW9hxxx2xcOHC\\\n",
       "gp/vueeeeO2113D00UfjBz/4Aerq6nDyySejtbV1kGcmhBB+lDIqhBix2IcwyaAQtUlXVxfC4dL/\\\n",
       "+3a5U0ZvvPHGot/P5/P4xz/+genTp+P2228HAMyfPx8zZ87ESSedhPvuu6/fxxNCiGIoQiiEGPFI\\\n",
       "BoWoXTzPq7qa4dtuuw0AcNJJJ7n39tprL9TV1WHNmjXDtCohRLWiCKEQQgghRjSUwlJGCgcSIVy/\\\n",
       "fr3v/XHjxmH8+PH9Pvazzz4LANh3331970ciESSTyX7vTwghekJCKIQYsXiep+5+QtQw/O/f87yS\\\n",
       "S+FAhPCwww7zvT958mS8/PLLJVmPEEKUCwmhEEIIIUYs4XAYXV1dPiksBQMRwrvuugtTp051748b\\\n",
       "N25Ax541axYAYO3atfjIRz7i3s/lchgzZsyA9imEEMVQDaEQQgghRjThcNgXLSwFA+kyOnXqVMyY\\\n",
       "McO9BpIuCgDHHnssAODnP/+5e2/dunXI5/OYPXv24E9OCCEMihAKIYQQQgQod5fR9evXuw6iAPCP\\\n",
       "f/wD3/ve9zBt2jQceeSRmDZtGtatW4djjjkGc+fOxTe/+U0A0CxCIUTJkRAKIYQQYkTDlFHgHTkr\\\n",
       "53zCUnHZZZfh6quvdj8/99xz+MY3voHm5mYceeSReP755zFlyhTcfvvtuP3221FfX4+f/vSnmDhx\\\n",
       "4jCuWghRjUgIhRBCCDFiCcpgOBxGPp8f9H7LHSG86qqrcNVVVxX9vK6uDq+++mq/9yuEEP1FQiiE\\\n",
       "GLGow6gQtY2NBFIGS4n+N0YIUQtICIUQQggxoimXDJYzQiiEEJWChFAIMeLJ5/Ooq6sb7mUIIYaB\\\n",
       "csgg9yshFELUAhJCIcSIxQ6mlxQKUZuUQwYBCaEQonaQEAohqgZJoRC1RTlFTEIohKgVNJheCDHi\\\n",
       "sRJYiu6CQgghhBC1giKEQoiqoK6uzslgPp/Xv9gLIQaFIoRCiFpBQiiEqBqsFI6EwdRCiMpFQiiE\\\n",
       "qBUkhEKIqsJKoRBCDBQJoRCiVpAQCiGqDkmhEGKwSAiFELWChFAIUZWEQiGljQohBoyEUAhRK6jL\\\n",
       "qBBCCCGEEELUKIoQCiFEBXPiiSe6v4dCIUQiETQ2NmKHHXbA6NGj0djYiPr67f9T7nkeOjo6kEwm\\\n",
       "sW3bNuRyOdTV1aGxsRFNTU2IRqNlndWYz+eRzWbR0dGBrq4u1NfXIxKJIBKJ+KIo+XweqVQKW7Zs\\\n",
       "wVtvvYX29naEQiE0NzdjzJgxGD16NOLxuFtrZ2cnksmk2z6ZTCKXy/muTSgUQn19PWKxGEaNGoWW\\\n",
       "lhY0NzcjGo264eW5XA7btm3DW2+9hS1btiCVSqGrqwuRSATNzc3YYYcd0NLSgrq6OqRSKWzYsMFd\\\n",
       "R0acw+EwwuGwOx/P89DV1YWurq4+X6dQKIS6ujq3L8/zkM/n+72fgfDzn/+8rPuvFhQhFELUChJC\\\n",
       "IYQYQXie5wSEf/c8z/dASjGKRqNOPBoaGlBXVzckD66UHP69p2PyoZvbhcPhbuu052nPO7g9X5Ti\\\n",
       "bDbrRJR/2n0FsZ/x8562K/ZzX6H42WMpzblykBAKIWoFCaEQQlQwNppHAaJsFROIcDiMhoYGxONx\\\n",
       "RCIR9/NQCKGVNPtnsW0prPX19airq0MkEkF9fX03kQyeK6W3oaEBkUgEdXV1vkhdNpv1CSIANDQ0\\\n",
       "FJQ+u39+PxQK+eQzSPC7/YXf4bF6ElUxPEgIhRC1goRQCCEqmEQi4fuZKZiUpiAUsoaGBoTDYScc\\\n",
       "dXV1PQphULYGCo9fX18Pz/OKRgjtOqPRKIB3RDYWiznBC36P5xGJRNx6Y7EYYrGYE8JsNot0Oo2O\\\n",
       "jg6kUil3bpQuCh9lz55/Pp9HZ2enS3ft7Ozstp1dO1M9C23TF4JRyFLIYFBiJJkDR0IohKgV1FRG\\\n",
       "CFGU5cuXY//990dzczN23HFHLFy4EC+88EKv31uxYgWmT5+OWCyGmTNn4t577/V97nkezj//fOy0\\\n",
       "006Ix+OYN28eXnzxxXKdxohm9OjRvteoUaPQ1NSEeDzeqxRSHnuKDlpJYg3bYATCRggZ9SskhVbu\\\n",
       "Ghsb0dzcjFGjRiGRSBQUQp5PNBp127e0tLjXqFGj0NzcjMbGRkQiEQDv1Asmk0m0t7cjmUwinU4j\\\n",
       "k8kgl8v5zpXXoLOzE7lcDplMBplMBtlsFvl83idVdt181dfXF5Vemw5biL5GBq2EFrue9p4Xi7SK\\\n",
       "vmPTkPvyEkKIkYoihEKIojz88MNYvHgx9t9/f3R2duKb3/wmPvrRj+L5559HY2Njwe88/vjjWLRo\\\n",
       "EZYvX45PfOITuPnmm7Fw4UKsXbsWe+21FwDgkksuwZVXXomf//znmDJlCs477zzMnz8fzz//PGKx\\\n",
       "WEnWXi1RkR122MH3s60JZBSwJxnpDYpgZ2eni+hZkRsIjJzZtRSCghcOh5HP5xEOh53A2mPbaGIi\\\n",
       "kUB9fb3bnimjTPEMhULo6OhAR0eHEzxei87OToRCIdf0hrIHvPP70tnZiUwm464x92GbvPCYsVgM\\\n",
       "DQ0NrolOML20UHpvsYYxwetTKCJpI7yMZnL9VsApggDQ0dGBXC7nIp7V8t+EEEKI0iIhFEIU5b77\\\n",
       "7vP9fMMNN2DHHXfEmjVr8MEPfrDgd6644gp87GMfw9e//nUAwLe+9S3cf//9uOqqq3DttdfC8zxc\\\n",
       "fvnlOPfcc3HEEUcAAH7xi19gwoQJWLlyJT796U8Pet3l7tI4lDQ3N3d7z8pGfyITQSGgBGWzWSc1\\\n",
       "lDQ2pCkWVbRrKURv6+I52Po/G22h3NlXQ0OD+5OCY68Dm8fE43EnQZS/VCrlhJCiaH9PKFnZbBbA\\\n",
       "O7WbnZ2dPmmkmEWjURfJpEgHBZM1jozSUbqDghlMPw2moAYjvUwDpvR2dXW568j0WV4fngujoaJ/\\\n",
       "KGVUCFErSAiFEH1m69atALpHrSyrV6/G0qVLfe/Nnz8fK1euBAC89NJLaG1txbx589znLS0tmDNn\\\n",
       "DlavXl1UCCktpK2treB21RYJYfpjIforg7Z+jtKVzWaRSqWQTqfR2dnponAkmA5ZqBlLXyKJwdRI\\\n",
       "m05JyaGUdXR0AICLfNm0U8qOFSxuS2GLx+M+wczlci5SxvO28sb1cZ+UObtWGz0NCiFFkrJnI5qs\\\n",
       "b8zn88hkMr7fTyuNlGKeP/fDMRrxeLzbvii1dXV1bhumEnd2diIcDrtz53USfUdCKISoFSSEQog+\\\n",
       "0dXVhSVLluDAAw90qZ+FaG1txYQJE3zvTZgwAa2tre5zvldsm0IsX74cF154oe+9888/v9saq0kG\\\n",
       "gdI8aFrRYP0cACeErK/r7Ox0ImRFjJ1Ogx06bRfPntZpUxwZqbL75zaUF878Y2QsGo12q4ejFGWz\\\n",
       "WXie51Ilub2NHLa3tyOTyTgh5Ku+vt4nyYTiZ8+ts7PTpeoyGkchzOVyiEQiLkrI82O0sqGhwQmZ\\\n",
       "FVE21InFYu66Z7NZt1aKXiKRQGNjo5vLmM/nEYvF3LkzahmLxdy5M93VphVX238b5UZCKISoFSSE\\\n",
       "Qog+sXjxYjz33HN47LHHhuX455xzji/y2NbWhp/85Cfu52DkBaieOsLBwoYpmUwGqVTKRZaY6pjJ\\\n",
       "ZJBOp5HP59HQ0OBLG+Woht5GQBSDaam5XM41aQmHw4hGo77ZgB0dHUin00gmk8hkMk7yGhsbu6XH\\\n",
       "5vN55HI5pFIppFIpeJ7nZIhrD9bbUdYYZaTw8TMKG6N6jMYxepfL5XziRfGktMViMV/aKOUxHo8j\\\n",
       "Go261FKuIRQKuUhjIpFw9YjpdNpFOuvr65FIJNDc3IxEIoFYLOaiqdFoFB0dHe5YHMFhI7qsM6V4\\\n",
       "K220/0j0hBC1gIRQCNErZ5xxBu6++2488sgj2GWXXXrcduLEidi4caPvvY0bN2LixInuc7630047\\\n",
       "+baZNWtW0f1SUAoRlMFafPgtJGlWjJnWaKOBAHxCxHo0G80rJNV9fUi2NYqUt3w+3y0KaQVv27Zt\\\n",
       "SKfTTvJYH8fUWXsuqVQKyWTSd76M0PEYFE9GA+vq6nxyxfUxKkkJZfOaWCyGVCrl5hoyddN2F41G\\\n",
       "o4jH4y76SrGmNMZiMd+15GxIK4RM8+Q5MErJzxlppORSOHnPbMTVprdSEhUl7D+KEAohagUJoRCi\\\n",
       "KJ7n4ctf/jLuuOMOPPTQQ5gyZUqv35k7dy5WrVqFJUuWuPfuv/9+zJ07FwAwZcoUTJw4EatWrXIC\\\n",
       "2NbWhieffBKnn376gNcJbJfBWoMyaFMyGWUKdrmkAGUyGd/3Afjq2YqNNrDHs98v9EDM5ifpdBrt\\\n",
       "7e1ob29HV1eXa3xCUaIQMlKZTqfd8Vj/xvPiPllTms1mncQW+ocBvhhF49iKxsZGJ6MUQjbVsQLG\\\n",
       "Zi4URpviySgkxY6S3dXV5dJFKaSEzWoouvyHDnY1zeVyTvQY4bNSR+w/egT/8cOOoLBRQkYpq4lq\\\n",
       "Ox8hhBgOJIRCiKIsXrwYN998M+688040Nze7Gr+WlhbE43EAwAknnICdd94Zy5cvBwCceeaZOPjg\\\n",
       "g/HDH/4QCxYswK233oqnn34aP/7xjwG887C6ZMkSXHzxxdhjjz3c2IlJkyZh4cKFA15rrcogsD1q\\\n",
       "ZkcMsIatoaEBAHxSZNMpCwkTI2iF5hza5it25EFQIu2amArKQfGsyaPA2RmAjFYyUmajlZRHihMj\\\n",
       "clZGg6mttj7Qnp9N02T6pb1ulDSeXywW80XmeA0pdjxOXV2dkzk2nuE9YLoq12wF3DbZsamubJxj\\\n",
       "U01t5JUiayOpjCRy7bYLazXC8y81ihAKIWoFCaEQoig/+tGPAACHHHKI7/3rr78eJ510EgDg1Vdf\\\n",
       "9T2Mvf/978fNN9+Mc889F9/85jexxx57YOXKlb5GNGeddRaSySROO+00bNmyBQcddBDuu+++fs8g\\\n",
       "5ENYLcsgsfLFhiTsOkmBoQyxg6UVumCKI79nJY/RuWA9oB2ETrnhtoz62aYutpGLlcJgJ1IKoN3W\\\n",
       "1iPayKFtFsPrYefwUeasNDHyxkia7exJkeK1KzTmgsflftkIh3+yBpO/m9yXHSlRKJWT58nrxaY+\\\n",
       "lNSuri5kMhmX/pvP5520cj4o01mD16Ua4e9Pqf83QEIohKgVJIRCiKL0JR3roYce6vbeMcccg2OO\\\n",
       "Oabod0KhEC666CJcdNFFg1meo9ZlEPDX1nG4uq3ToxACcH/nQzTFKJiiaBuU2Igfo30dHR2uFo7p\\\n",
       "kRQguxaOSGCnzkIz+Wyk0koTjx1sTsP9MV3VDoGnPFJGme5JcbPiymMXk6fgvvmexTaB4Xp5Pe1x\\\n",
       "rFhbCQ5GVinTdg4ir1l9fb3rsLpt2zY3X5Epp/Y4wa6wwaZLI5mZM2fiyCOPdNePjYlIKc5RQiiE\\\n",
       "qBUkhEKIEUtv4w5qCZtOyPRC2/UyFAq5ZiZslhJM+WRULBgFo6QwAsl6QEawotEostms6/RpZ+Wx\\\n",
       "IQvlzUa/7Nw+jmDgQz3r8GxUjUJKIbSpl7ahCtNJ29vbkUwmkcvlnPgGO3HaqCcjnvZ62utKCnVd\\\n",
       "ZWor010L/WNKsONpMAWV37HnymtEGWZzHF5bNgji93l/WWNoI6zVim2sw6ZCpUBCKISoFSSEQggx\\\n",
       "wmGEyjZq8TzPl/LJF+XDNjoplAYJbI8wUQaZpmgjhBRPfh6JRJycMEJox1wUmonIVFWmO3LURX19\\\n",
       "PeLxuBNZG1mk/NjGL+wa2tXV5etYahvZ2KidHcfB1EvKIgWZ14FSVazWj11Sc7kcQqEQYrGY25b7\\\n",
       "sU12stmsqzXkOQa7xHJ9FLtsNutSUtlYh3JJKQqO3bBpubzX1YZNGaUUKkIohBB9R0IohBAjHFvH\\\n",
       "lkgkfI1NKFPBiBclxe6DWHFjNM+OeWA9oB1wzyYnthFNcKQF920jVzZ6CbxT+xas+eOwdVvjx+6d\\\n",
       "PGeKKGf5bdu2Dclk0g1nZwQyuD57XnaeoY3WBRu7UL4ZkQyO9GDTnGBTFyuEyWTSjafI5/Ou6ykA\\\n",
       "n5zzO/zTrt12laUkUsxt6m4wcliNBKWwFEgIhRC1goRQCCGqAEb/gO0RNtsUpacH1uBnNgLFlx0J\\\n",
       "wcgepYliYhuhcD9W+oDt3U6DnTVtExcrMTZSx4HslF0AThgZObPrpUAxcmpnB9rxFalUytVdUkyD\\\n",
       "zWnYrCccDrsZhlYI2UCHnVR5H+zICNtohxFW1h2yFpN/txJvU1ILibu91jyn4OxFWx9arfB6SM6E\\\n",
       "EKJ/SAiFEKIKCI5AsO/1NIqhUL0go31MD81kMi49kRG/YI1cscYldg22fpFNaIJ1i8GGMlaKKLqM\\\n",
       "gAabuTB1k99nhJHdVimOoVDIJ3GscWSU0Qq0jSJms1knp6xb5LlT2AqNr6CIMTJqm+NQFm1XUFvP\\\n",
       "aa+v/bNQnaJtvMP0XUbN7OzHasWm8SplVAgh+o6EUAghqoRiXTKJjSIxksdumDatkXV1bB6TyWRc\\\n",
       "yqStRytGcDahnXNIKbHD3wvVLxaC3VEphlY2bYMZppGyPrGxsdF3LJu2Srm1AmdTKynHFEKeg42Q\\\n",
       "Bjt52uY32WwW0WjUV8/H68h9cP/2XrDLK697oXsclPBglJAyaDvBcn5otWFlkP9YMFgkhEKIWkFC\\\n",
       "KIQQFU5QwHp7+Ozpcys4FAWbbmqFhiMjKBfcd7DpDAnONLTjKyiErPuj2NmOn72dU7H6R7sN6/8o\\\n",
       "jXa2ok3dJHYcRyKR8EURg3MPOXvR1kXarqQkOIPR1kDa5joAusmjTZ2166UA2wimjUza2Y2UfTbJ\\\n",
       "4b4ohdVGUAZLhYRQCFErSAiFECOWWngIs+mZwQ6X/SXYAIXSY8dO2OgZI2i2WYed9WebmtgOl7FY\\\n",
       "zL1Yw8iXlcPgfL++UOy8eU2YhmpnLtq5g1ZsGa2kANpGLHaWoU2XBeDGWlh5DEZnKY4UPaa1Frsn\\\n",
       "3D8ljiLLFFRbC2hHe3AtlEIr9Gxaw2ts02urBRstLfVoDQmhEKJWqK7/ZxBC1CQ2UlNtsEmJ7RTZ\\\n",
       "l0YxhbBzANPptHvfjm2w2GgcJcWOPcjlck6SbCooUzRt+qWtIyyU2jpYuD/KHyOeNpLGGYFcQ0ND\\\n",
       "g+sIyigcBYvfYTMZG9Fj0xrKGVMUC3UHZZTQRkML1XWyIQ9/lymDnEXItFaO52hoaHD30Yog92dl\\\n",
       "3Y606C3ddyQRbF5Ujv1LCIUQtYCEUAgxYmEanW05X21wHALgT28caKTQ1pkx6pTL5dygejtWgbLD\\\n",
       "1EtG0zzPc0LJtcViMTQ1NaGpqQmJRMJta9Mb+7o+2y2yv+LIGsFgB1A7eN6ms/Iactg9G8zwvG10\\\n",
       "jhHUXC7nIqysXQxGUVn7xyhhLpdzx7L1lfY4dlg9ZzBa6eb9Z2orzydYRxiMKAevYzVI4V/+8hfc\\\n",
       "cccdAFAw6lnKAfVCCFHtSAiFEFVBtUqh7Zppo18Dfai3ImlHRdjUUHYCZcohAJ8QUkT4nVDonUHs\\\n",
       "jY2NaGpq8tXrFWqmEhw9QWyqqpVgO8uPBDuRBs+Rvw+5XA7pdBqpVMqlYyYSiW4psB0dHUgmk264\\\n",
       "PNfJqGgsFkNdXZ0TxmQy6cSaHUSt7PGceX07OjrcTEjWVRY6JzsuhA1nMpmMk1JGauPxuO8fRCi1\\\n",
       "dmQH18+RGwOJKlc65TwfRQiFELWChFAIMeKxHRerTQopGwB8s/sGQjD6V6hBixVCSp/t3llXV+cE\\\n",
       "sqGhwTUwYc0bm8XwHtiaNkbpbOMZ2zjFNnBh5M02qKHA2fmGXHPwutjxGe3t7W4QPNNYGWm123FA\\\n",
       "PVNEg51H+T47jjIN1dYSRiIR31xGbmOjf8HopO2YyhdnCHJbXmfbuMeed0NDg5NVO8ORQphIJAqm\\\n",
       "BYviSAiFELWChFAIMeKxqXflqicaLhobG30plBQJ216/rw+uFMBoNIqmpibkcjknDVYU+J6dCRgc\\\n",
       "EB+sC7SvQh03GaXr6OhAXV0d4vG4GzTP+0cpY90em8RwbqEdG0Hp4jnZWkVbK8kh8Db1lpFN/s7Y\\\n",
       "pi6UXWB719RoNOrkNZfLuVRRux820LGiyT/t3EdeW0ouRdF2A7XjOuz9DV5vW5MYiUR8a+fvCvdr\\\n",
       "JVT0DQmhEKJWkBAKIaqCoBRWC4lEAgB8kmvHDVgx6A1KQjQaRXNzs4v+URa4b0qWlQc+HNvInBVw\\\n",
       "RsGYlmmbueRyOaRSKWzbts1JKJuldHR0uDRUzj6kODLilkgk0NHR4bpr2uPZtEhGznhsRhxZh8da\\\n",
       "SNuR056D/f3h+XKfTOEMjnxgbSCvK4XOXpfgdWUDnlwu564vR0IEx17Y6x1symMFkXJpu6jaGZCF\\\n",
       "oqiiZySEQohaQUIohKgarBRWC7ZeMBjN4rw9btdXKWxoaEAikfBFrhjJo2QVqtsjNkJHuWKqp62T\\\n",
       "4/uMDrI+LxQKuWgWZ+9xxEM6nUY6nXayarez0URG5+rq6lxDHEYQbQ2fTdnkeQblL/iy16pQ9DMY\\\n",
       "AbW1lIz88XoGm+NQYHn9I5EIALhmMRRb2xnV1nYGO8zaRjWF1s/tJCz9R0IohKgVJIRCiKqiGqUw\\\n",
       "WBvHzpW2CUmxKGExyeHYAooLa88ojDbN0HantELa2dnp9sHZhkwrpRRRBtPptIvW2YY2mUzGCZxN\\\n",
       "27SiykhcOp12KaF2FENnZ6cb1WA7sRYSvUKNawpd62AUrqcHfhuxtKm9jHzadFYbeWWNJq8XU1PD\\\n",
       "4bC7vhRZRiDtKI+g7ElKhBBCDAQJoRCi6uBw8WrEpiJSiIqlydrU0mADFgpYNptFOp12TVIoVqzb\\\n",
       "4zEAOPHjixFFzubjvjs7O12EMJPJIJlM+hqe2No9plwGRy9wvfyZ29oGQnZtHNRuZSn4shFDm3Jq\\\n",
       "I4EW+34x2QrWKzJllE1x2IzHNtBhlJD3jscJ1odSihkVbGxsdLWKqgUsP4oQCiFqBQmhEKIqoThU\\\n",
       "IxQIygTfswRr6CjIFBIbdbNCyEYuiUQCnZ2dTkAAuDo/O57BdtSk3FG0eAzO4bNiaqXQRiAL3bNi\\\n",
       "EV9uz/Po6upyUsWoI69NsO6PdYWUK0b0rMwFhdC+Z7uzsslMJpMBAF/KKiN7HMXB8wFQVF7tvaI4\\\n",
       "Ms2UUdD+CEi1/ncwFJRL9NLpNN797nfjtddec+9NmTIFL774YrfOv0IIUW4khEIIMYKgvEQiEVc3\\\n",
       "FxSE4CgFpmvy+0yrzeVyyGQyLtrHOjimK3KgO4XQRhTZCTQ4kJ3HDqaAWhkMPmQX6gpbaIxEsfo4\\\n",
       "RijtyBGmxAZTQ5nymslkEIlE3D6sENqUzmATFwqe7WZLYe3s7EQqlfI1pGHDG1v/aNNAi0UgKYNc\\\n",
       "O/fTn+igbZgjKew/5YwQ7r333njttdewaNEiHHnkkfjFL36Bu+++G/vuuy/+/Oc/D2S5QggxYCSE\\\n",
       "QggxgmD9Hx9AOXLBYkc9bNu2Dclk0g24t0LI1Mlg/ZttyMIoGrBdCNkh1M4ojMViTlhY5xgc7xCs\\\n",
       "y+NarVxZmbKpqjad1G4TTIFNpVJufh9TXLmOYNdTXjeKbLB5jJVcHpcyaGUt2M3UNruhvFPkuB3P\\\n",
       "Kxht5DVgyi1lnw1lekpfDUJJtbWeSm3sO+UUwldffRWjRo3CzTffDAA45phjEI/HsX79+n6vUwgh\\\n",
       "BouEUAghRgjBWjMA3SJMFD07aN0OW7fpkzZ6FJybx7EPlC1GDik9jHKxiUtjYyMaGxudKGUyGZ9c\\\n",
       "cv2MxFF4bE0fBckOrWdNIoWWa7HbANtnCzLaafdvm9RQVjOZjBPj+vp6XwOX4PB3e9xoNNqt8ysF\\\n",
       "00ZHba0g1xms/2R6aLAhEGXUpj33VssYxN7HdDqNTCbjGtiIvjEQIQwK3bhx4zB+/Phu2++22274\\\n",
       "v//7P1x33XU45ZRTcMkllyCTyeDQQw8d/MKFEKKfSAiFEGKEEGwME6wfpNhRCG06aDEZKFabR4IR\\\n",
       "Scobj2vr25qamnwRNEorpSkUCrlIItM1GXW0KZ92Jh8A18GUgsM1saYOADKZjBM9RjEB+CKUNgJK\\\n",
       "wbQNcOzYDZuiyf0wYse6Pgobz41ptnY+pE1DLTbqIoiN/lqJ7y9WCNvb25HL5Qqm54rCDEQIDzvs\\\n",
       "MN/7kydPxssvv9xt+7/97W/Yfffd8fnPfx6f//znAQDvete78Ic//GFwixZCiAEgIRRCiAqnkDQU\\\n",
       "qyOzHSopE0xJtJ/11IzGil48HkcikXDpjnZ7pkYyWsfmKQC6HZMSS3GMxWJOCG1TG0YcKXuM4DHS\\\n",
       "F9wmHo+765HJZHyiF4QSZ+XWdhplSirPx4orm+fYdFZG9jg+IpPJIJPJuDVzdIc9Lr9nr0lv4y8G\\\n",
       "CiOkrPvMZDJV2323UrjrrrswdepU9/O4ceMKbnf44YfjjTfewPz58/HRj34Ud999Nx588EEcfPDB\\\n",
       "ePjhh4dquUIIAUBCKISoUqqliUax87AdRi22po9ywwghO34yHdTW6QXHPjDqN2rUKDQ3N6O+vh65\\\n",
       "XM7VxTHixPRKGwljaqWdvZfNZhEKhRCPx50QUqRs45lgyigF0KaNsj6Paao2cmrHYdj3uU9GLhk9\\\n",
       "K5QCy/1zULytp+zs7PQ1i2G0MB6POwnN5XKoq6tDU1MT4vG4r/aP14U1izb9t1zY1FkJYd8ZSIRw\\\n",
       "6tSpmDFjRq/b/+53v8M+++yD++67DwCwdOlSTJ06FY888sjAFyyEEANEQiiEqDpqNS2OD7AUQooN\\\n",
       "pSuVSvk6grLZCdMouR1FkoPSGekKNqOh1ARTIAt15ORxuM/gsHbbpIVSxodsroURQ0YlGxoaXA1h\\\n",
       "Q0MD8vm8i8jZtNaGhgYnePF43I2FyGQySKVSblwE923rHCmlPHemtrJpDeW5vr4eiUTCRT157YON\\\n",
       "YGyqqY3eluv3gffB3kPRN8rZVAboHuXXvRFCDBcSQiFEVVFtLfZ7SykMYgetU1ooMrZBjJ1rZyNm\\\n",
       "TN2k4DACRrGIxWKuUyfTKIuNNrD1h/yTksX1F0qbtA/iViyZjkqZZVQSgJMeRgFtzR9lkBE7pmxG\\\n",
       "o1G3D4oez9HO+6O4sl4wm8366vsokfwO5xhSWPmgH+ywGjzXUmOvXTwed/df9I1yCmFzczPWrFmD\\\n",
       "z3zmMzjyyCNx88034//+7/+w0047DWSpQggxKCSEQoiqodpkkBQSJqB7OqmtO6PE2O04U9DzPMTj\\\n",
       "cTQ2NiIej/vmB1L0KI1MsbSSScFgyiWw/doH12nHJgCFu2X29DDN7zJFkxJGqbRRRJ4X00wZmWR6\\\n",
       "KVNAKYSUwfr6el8NYzwed9E9HsNeT0ZSKaYUS0Yn7bzFYNTHdnkt5wgIHqehocHVWTL9VfSNcgrh\\\n",
       "008/jQMPPBC33HILbrnlFgDALrvsohmEQohhQUIohKgKrAwWE6aRTPCBMzi/z0pbcHt7HWxapq3V\\\n",
       "Y51ZJBJxQsjUzWCEi9/j8Hfut1gkk8LJB+zg2oLjL2wXVSu5XA+jnpQyRgkpc6xVBOCLLtqIICOl\\\n",
       "PB924AxKnm0GY5vEMDrKP+0auT6eU38luFQwQsioqOoH+0c5hXDatGnYvHnzQJYlhBAlR0IohBjx\\\n",
       "BGWQKZDVim0AY4Uw2EWz0HeCcwHt9jZFkp8XS3EMjr4oJIQ9jVaw2HMJDojn53Zftt4xOM7BppMC\\\n",
       "8A2GLyS33M5G7WyDHHvOVgpt9LPYOQW7uQ6FBFp4jlaYhRBCiCASQiHEiKenFL1qg6mdrPdjhM6K\\\n",
       "j61bs/LI73HcQnA+nxWfQvPvepufF1wnjxkc12DXxjTVXC7na1RjO6BybqAdsM7ZhZQ/nrOdE8hj\\\n",
       "2b8HI442JbWnIfB23iIAdHR0uOijrYm0HT07Ozt9dZRDLYVBwS13mmq1Ue6mMkIIUSlICIUQVUGt\\\n",
       "yCAbuqTTaaTTaXR0dACAa4ZiUyOteAUjbDal0WKFycLtrYx1dHS4zpz24ZkCygYsdth7NBp10TjO\\\n",
       "7uO52LRNSh73x6HzFEcrmKzf4zXgqAe+19ODvR0BUeg68O8UQl5ryp7tmMrz4vlTum0kcigIRser\\\n",
       "+b+NcqaFSwiFELWChFAIMWIJNlGpdmwnUEbLrBBayQs2RbHdMG2dXl8eqCmCFLxMJoNkMukbwm6b\\\n",
       "pXCkQzqdRiqVcl1LGxsbnTzl83lkMhm0t7ejvb3dCaHt3Mk12ggno5vA9rpJOweRUmmFsVg9JdD3\\\n",
       "h37byIbX2qadBvdhr/tQyUIwlTiYMlqt0sJmQKVGQiiEqBUkhEKIEU+tyKCVMqaK2uicra2jINm0\\\n",
       "yGg0isbGRnR0dLgRCb1dO0Yls9ksUqkUUqmUi+hxSLutX6S0ptNptLW1IZVKoaurywkqB9JzLiKF\\\n",
       "kKmgNlU1GOEMRjUZCStUT2hhp1R+J1hDGUwPLYYVVfteoWiinT/Yl+HzxSK1xbYNNlAC4KKyjNwy\\\n",
       "gsk1VTPlkEIJoRCiVpAQCiFGLLVSExVM1WS6IofPU8SCqY+2Jo7jBxid6+ugcpummkqlsG3bNl+q\\\n",
       "KqXTriObzSKZTCKZTCKdTrvtKGPcH6OITAW1olZsLYV+tsKYyWQKzjRsaGgAAF8NJWXNzkYsFk3s\\\n",
       "a3MYW5sYnGNYrNmPlV3AX8MYXE+hzqZWxDOZDLLZLDzP88lgtQqhjXKXWgolhEKIWkFCKIQQFQyb\\\n",
       "smQyGd/DPucBMvrFmjUA3VIlbQ0cxYxRvd6iY7arJ6OTrAtk/Rz/DIVCvtrBbDaLXC7nm80HbK8x\\\n",
       "7OjocIJm6976WhdWqOENI6c2TZbXwvM8l27b0dGBUCjk6hptJ1J73sXGRvSEHQFSrCbTrts2+/E8\\\n",
       "z6XAMsrL7/KasY6SaaE8N9aW5nI5955tllOtcAwIUL70USGEqGYkhEIIUcGwBo8yyJo9DmqPRqMu\\\n",
       "VTKfzxeswQP8c/xsumFvkhOMjPHFRi5WpsLhsIu+WdFjymSxqFdPkTj7eXDdNrpp5zKyWY2dmcht\\\n",
       "Gb1k5DISiSAej7th9FaauX7up6cxE4WuG7e18yKD52ajr8H7G41G3XW1TXjs7wIAd/9ZX8qazYaG\\\n",
       "Bt/oi2omKIWlQBFCIUStICEUQogKZuvWra6Gjw/6FAXKSyFBKvQw21u0qhC2Ji4ajbq0UwCIRqNI\\\n",
       "JBKIxWIuQhjsaGpFlJLKl30vOE+R71OagnMK7agJyhIlzo6zYJSSDXaYekvR5lD6jo4OJ9QNDQ2+\\\n",
       "ejw24rHXu6/Y9Qevh63PZIotI1yUfQo/AJdmm0qlkMvlfM11eM7swMpj2z+DvwcjmZkzZ+LII4/s\\\n",
       "9g8K/Ynk9oaEUAhRK0gIhRCignn77bddfZkVIRuxKhRl60sdXl8fYuvq6lxDmnA4jFwuBwBuLh8b\\\n",
       "1NgIok2bpFBa0aPQcjQEa/ps1JHSRLmzYy4oS+z4yTRKOw7Ddibl9eM1sMJnt2E9XldXl2ue09DQ\\\n",
       "4Gt209eURHscO1IjEom4+j47RiSVSrnmOJyxaK8DI4D2HO19tMJMqS3UZKdaKXVHVwmhEKJWkBAK\\\n",
       "McJ56aWX8Oijj+KVV15BKpXC+PHjsc8++2Du3LmIxWLDvTwxSNrb291DPqNFtrbMzrwD/KmhwYdU\\\n",
       "WxcHoGAKZxBbfwgADQ0Nrk6PYmqlJSit/JlNbCiETItk/SEjW9FoFE1NTUgkEi4yZ5ulMILGNE+m\\\n",
       "RXIEB8+po6OjW6SyWPSR14TiyuvK8RqMfhYacN8TtuNqKpVCZ2cn6uvrkUgk3P7s/WN9oI1k2igo\\\n",
       "I6BMyy3UVInv2Y6znZ2dvvrIasRGyDn3slT7FUKIakdCKMQI5aabbsIVV1yBp59+GhMmTMCkSZMQ\\\n",
       "j8fx1ltvYf369YjFYvjsZz+Ls88+G5MnTx7u5YoBkslkAMBFlGyqJKWBXTo9z0N9fT3i8biv/gzo\\\n",
       "3pDERqp6S4PkcRmZs7V8QTniaImmpiZ3XA6Lt8fidvF4HJlMxj3Ex+NxjBo1Cs3NzU5CGSFkmiTF\\\n",
       "kefIZjEdHR2IxWJuriHTP7l2ymMsFnMCyX3aBjc27TSVSrkorG3EY6Ozha4Xv8/xG21tbejo6HBC\\\n",
       "zXOwnVdtx1GeZ6Gup/aYhY5vO46mUilf059qFJygDAKlGVivCKEQolaQEAoxAtlnn30QiURw0kkn\\\n",
       "4de//jV23XVX3+fZbBarV6/Grbfeiv322w/XXHMNjjnmmGFabfmohYewYlEgRpXS6bRPgChsQWlh\\\n",
       "QxI2L2loaEAikehXB83e0iVtNDEej7uUSDZICdY7UtJs0xlG4RhVtBIcjUa7jYtgZJKSadM6u7q6\\\n",
       "fGmpTC+lTDKNk2mohWoaKRh2XIWdg1hsriGvOYWdAsrrEYvF3PUpltoZTAUuds0LfYeSy2Nz7EY1\\\n",
       "zuwMyqAQQoj+ISEUYgTy3e9+F/Pnzy/6eTQaxSGHHIJDDjkE3/72t/Hyyy8P3eKGAVsfVq3YSJLt\\\n",
       "4snh7qlUyqVXMvpXqEMlh8Cz82apo0cUs3g87moDmR5aaBSGlTBgu9DYKKSVtELRSRvBJDw2I5E2\\\n",
       "VZXNcZj6ykgiG7kwikdJDUbmrJDbcRF2HZ7n+TqC2oYvbGrD82GUsr9RrWCE1qYE266jyWTSpdFW\\\n",
       "238n5ZRBRQiFELWChFCIEUhPMhhk7NixGDt2bBlXM3zwIZwPwNX2sBvESqGVw2Cao406Af6B5kyT\\\n",
       "pGDZcQilwEb/WJdno5WFti8kNIU6Y1o5Cz6s8++MUFLagnV/wfpFXgPWQlLo7KxGex62gUuw2Q2v\\\n",
       "qW0Cw6hgcCxGR0eHOw6/PxAhtFHb4LWzx+L8ymr6b4T3olyRQQmhEKJWkBAKUSVs2rQJmzZt6vaA\\\n",
       "v/feew/TioaWapbCoNBRJoJRJZsuaOUg2JCE0lhMvgYLo4Q2nZPRNruNTRMNNkLh+uxDeU8P6DZS\\\n",
       "yD/5/WAUkt1RQ6EQYrGYm/3HWYQUrEgkgsbGRnie56KHdkZhKpVCMpl0MwFtZJZ1jUzRtRKfy+WQ\\\n",
       "TCZd4xsrlX29F7x+bNYDwO3b3nM2qWGkttrEpdT/oGGREAohagUJoRAjnDVr1uDEE0/EunXrfNET\\\n",
       "PojXQl0Nz7eapbDYGAWmOvLcbaqohWIU7O450LltPc2244O0vS/8TnA7W8NohZBS2N/OmDYSGFwP\\\n",
       "/25rExlZDdYtAkAikXBrZ10kRZPpt0zBtQPlg91R7YgIRgT5dwC+GYhBCjWWsV1iOaajrq7OCaZt\\\n",
       "UsNryv8tqCZxKfc4DQmhEKJWkBAKMcL53Oc+h2nTpuG6667DhAkTavLBxNaX8SG4WqAQBSXHRr3Y\\\n",
       "/ZPpirFYzFezZ2vnGhsbXZMXzvHrb/1gcHxFoW6j3M6mrtp6QItNGWUjFs7hsxHE/jycB4Uw+Bkj\\\n",
       "mHZtwSgmAHdsCiMA3ygJDom3UstzDg68L4athQzOiSw0JiM45D6Y6srP7cgP/j6IviMhFELUChJC\\\n",
       "IUY4//znP/HrX/8a73rXu4Z7KcNKUAqrhUQiAWD76AcObWeqIP+eSCRciiQ/s7LHRi91dXVuLl1w\\\n",
       "NEVfsB0sGX22g+eL1djZOX+MTNq0VStjbIDDlFNGwIrVIQbveW8P8jaCGZQkW4vIa26/w+glpZVR\\\n",
       "TCvZdrsgVs4pvB0dHQiFQm4kCO8jxZXCB8A3OsSeN9fLfxjgveeaKP+2DnMk85e//AV33HFHN/kn\\\n",
       "pciMkBAKIWoFCaEQI5xDDz0Uf/7zn2teCAG/FFYLo0ePBrA9WhSNRhGLxXy1Y5yvZ1MJg+Mk+F2m\\\n",
       "M9oRD319mLV1aXb2IdMpbRSK26VSKaTTaV9KJUWI4melig/4jMIxTTYY9STBOX4810KRyCC9SWMw\\\n",
       "YshjMa2VEVmefyKRcGM/mEZKceacRdYqNjY2Ih6Pu3NlJ9BgSqitbaQ0plIpt3/boMZeQwo4f19s\\\n",
       "NFgIIYSwSAiFGOH89Kc/xYknnojnnnsOe+21l5MEcvjhhw/TyoaHapPCHXbYwf3dpgDa+j8+/Aex\\\n",
       "D//c1jZ6KRQB6ak2EICvKQpnH1JWrECxfo4jMTo7O52wUFooNBwPEY1GfeMnOGyeUTMAbhueN8WT\\\n",
       "MwUBdKuRHCiF5MnKJyOeiUQCTU1NTopZ38lrwJTS+vp6xGIxJBIJNDc3u4gtP+d5Mwpro4TxeBwN\\\n",
       "DQ2+0RGU6Ww2666NHfFhBTwYwRW9owihEKJWkBAKMcJZvXo1/vjHP+J///d/u31WK01lgjAdsRoY\\\n",
       "M2aM7+dCItefh9aetqVgUaiLNX2xDVW6urrcEHrbLTSVSqGtrQ1tbW1IJpOusUkwKhkOhxGNRtHU\\\n",
       "1ITGxkaX8mjnK2YyGfd9dvKkEHZ2diKdTrtjeJ6HeDyO5uZmX21eqWB0lem2rMu0EVJKLqWUjWpi\\\n",
       "sRiam5vR3NyMxsZGxGIxFyml5PP6sHMpBZGRwkQi4fbb1tbm6hgZiWxqakIikXDRSjsuQ9LSPySE\\\n",
       "QohaQUIoxAjny1/+Mo477jicd955mDBhwnAvp2IINugYqZSqEUhvkT8ABdMhKTO28Uuw4ymjXIxe\\\n",
       "5fN5pNNppNNpJ3MUdNtlkzV6rGNk6qUd2M56uWw2i1wu5zqq2vOyDVwYuWN9YqkbqdjOrqzRi8fj\\\n",
       "vsilbeTDmYh1dXVobGx0wkZZ4zXgeVkRZ20hrzdrQSnCPGf+nTIKwEUIB9pFVkgIhRC1g4RQiBHO\\\n",
       "v//9b3z1q1+VDNYIdrZgX7e33wO6j3vg57Y+kGmcAApKhU3ZZI0c5ZCpkhy5YNMfbdOZ4Iv7ZeQt\\\n",
       "Fou5SJlNLw02kAlGNsvZWIhpr7x+tiaS52a7fyYSCRf9a2xs7CaDvL6UQvszay/ZCIbRyUgkglgs\\\n",
       "hng87qSQYsj0WnuvxcCQEAohagUJoRAjnKOOOgoPPvggpk6dOtxLEWXAyk0hiepNfILD6YHtaZr1\\\n",
       "9fW+RiMUQjZzsc1eAPiiX4Wkkvuw0SvKICOBrGFkp1JGu6zMMLrFTpxMBaUQ2pRWrotr6ak+sj/X\\\n",
       "vNB3g2MeijXmsR1heU0ofDaN08LII4/B60XJth1jbSMb23FU0cDSIiEUQtQKEkIhRjjTpk3DOeec\\\n",
       "g8ceewwzZ87s1lTmK1/5yjCtTJSCbDbrazRCcbLz6HqTQiuQFArWsAFwksZ00Ww261IPY7GYb66j\\\n",
       "lS8KkZU92ymTLyswlMtsNot0Ou0k0Ea5KKqMhNlOnTx3K0hBAbSpm/15ULdrLlaraeWv2DFsR1h2\\\n",
       "deV1Ktbp0+7bXlfeB9thlVHUWCzmrgfPmfdBciiEEKKvSAiFGOH89Kc/RVNTEx5++GE8/PDDvs9C\\\n",
       "oZCEcISzbds230ByK059FcLgIPn6+nqfUFLSOOOOaZqsVyNB+bJ1cozm2cYxVmxisZjrxAkA6XQa\\\n",
       "AJBKpZwQ2mgX6xej0agbscAOp2zCQpENpokOJF3UXmOmadph9Dx/wF/X2Zvc2TmGfZG0YPTVdjQN\\\n",
       "RgnZgIf3kB1fgympYmAoQiiEqBUG3o9bCFERvPTSS0Vf//znP0tyjKuvvhq77747YrEY5syZg6ee\\\n",
       "eqrH7VesWIHp06cjFoth5syZuPfee32fe56H888/HzvttBPi8TjmzZuHF198cUBrY9v94IuRp+OO\\\n",
       "O65gJGmkvN566y289dZbePvtt/HWW29hy5Yt2Lp1K9ra2rBt27Y+vdrb25FMJt2rvb3ddQDdtm0b\\\n",
       "ksmkmxdo6/4KpaQG6+Qobey6aV+MiDF9MpFIuMYqbK5CiQymmQLbB97bbXh/uZ2tH6Q09iellr+P\\\n",
       "3De7drIZTqHz70v00Ub6+jvvkd+1w+7ZeMdGQSnazc3NGDVqFFpaWlynViuyYmD097/VSiSXy+Gg\\\n",
       "gw4a7mUIISocCaEQVcobb7yBSy65ZND7ue2227B06VIsW7YMa9euxXvf+17Mnz8fmzZtKrj9448/\\\n",
       "jkWLFuGUU07BM888g4ULF2LhwoV47rnn3DaXXHIJrrzySlx77bV48skn0djYiPnz5yOTyQx6vZZK\\\n",
       "fUjrD1u3bnUvyh3ljXLEbpw9vRhVZCQulUph27ZtaGtr8+0/lUohl8v5mrcEu3oS1r1ZGWT6aCFJ\\\n",
       "pODEYjHXFIXRrGDaKGvibJplPp9HJpNx527Piy/uwwpjb/DY6XTajdNIp9PI5XKDak4zGFkIpo72\\\n",
       "VHfI6CvHXwTlUQyMahDCSCSC1atXD/cyhBAVjv4JUYgRzuc+97mC77/yyit46qmncNZZZw1q/5de\\\n",
       "eilOPfVUnHzyyQCAa6+9Fvfccw9+9rOf4Rvf+Ea37a+44gp87GMfw9e//nUAwLe+9S3cf//9uOqq\\\n",
       "q3DttdfC8zxcfvnlOPfcc3HEEUcAAH7xi19gwoQJWLlyJT796U8Par2kUh/Q+ksqlXJ/H2xaJGHz\\\n",
       "GKZJZjIZX5TOjoiwnTt5XNvUhQJoRxxYIWR9G4WGf2d9YCwW6yastrkMt+f6Ojs73X44HsPKIQfa\\\n",
       "Z7NZxGKxojV7wDu/I5RBzlZMp9PufJmGOZz0FoXkNSqU2isGR7WkjI4ePRr77LMPnnnmmeFeihCi\\\n",
       "QpEQCjHCefvtt30/5/N5/POf/8S6detwzTXXDGrfuVwOa9aswTnnnOPeC4fDmDdvXtF/dV69ejWW\\\n",
       "Ll3qe2/+/PlYuXIlgHdSXFtbWzFv3jz3eUtLC+bMmYPVq1eXRAirKTpCOSs1lELW5QHb6+jsLD9b\\\n",
       "a8jvMS0TgK/BDB+gbZTQpn8Gt6EU2q6mrBGkENqHcnYwDQobI4a2/jCTybjZgJTXoDTx+mYyGZcq\\\n",
       "mk6nXeTNNtOpZCSA5aFahDCZTOLZZ59FKBRCIpHApEmTMHv2bNx6663DvTQhRIUgIRRihHPHHXcU\\\n",
       "fP/b3/42Vq5ciS984QsD3vebb76JfD7fbcbhhAkT8Pe//73gd1pbWwtu39ra6j7ne8W2KQSjPqSt\\\n",
       "ra3gdpSO4Y7sVDpW8KwwUYKCNXnB0RfBuYb24ZmRK76Y/km4bbC+zkYfbbdPfofCGgqFXITT87xu\\\n",
       "NY82NZajHLgf20EUgG9bRie5ZiGqAabir1+/Hj/72c/w4IMPYtWqVcO8KiFEJaEaQiGqlEWLFuGh\\\n",
       "hx4a7mWUjOXLl6OlpcW9dt11127bWBnUA33v2M6awRl/wXmCjNrx/eAAdCtwtvtoJBLx1bQFm6Kw\\\n",
       "rpCdO+1aiJU5NhFKJpOupjKdTvs6r9p6QNZJslbS/mlfdj+U4uAMx6AIi+pnJNYPNjQ04Pjjj+/2\\\n",
       "/q677opvf/vbePzxx7F58+ZhWJkQolKREApRpfz5z3/GPvvsM6h9jBs3DnV1ddi4caPv/Y0bN2Li\\\n",
       "xIkFvzNx4sQet+ef/dknAJxzzjm+Biuvvfaa73MrgyMl1a8vFHrgLPVDaXBsA7C90Uo2m0Umk3Gp\\\n",
       "nLaLpx3TEEzHZJ0gx1GwxtDCLqKsQeRxi3U45ecU1Uwm4+uKakWWNYFbtmzB22+/7V62Yyu7tra1\\\n",
       "tXVrpmPPMdisJri24OiLYsLYl21E5TBSm8p0dnbi/e9/PwDg17/+tXv/Ax/4AJqamoZrWUKICkYp\\\n",
       "o0KMcIL1esA7cnXnnXdiwYIFvs8vvfTSfu07Eolg9uzZWLVqFRYuXAjgnQfyVatW4Ywzzij4nblz\\\n",
       "52LVqlVYsmSJe+/+++/H3LlzAQBTpkzBxIkTsWrVKsyaNQvAO+mfTz75JE4//fSia2GTkkJUqwwC\\\n",
       "cKJUbB4gAF9UL5jKabfvq4xwX2y2wihfJBLpFj2jMFlJohCyDo+D5INpo2wYY4faB0dHWOx5BD8r\\\n",
       "JLOsk+RxC11DK7ZsgGOlM5VKuQ6nbJhjBTcYPeR52T+5puA1CkZNRWUxkmsImUHxyU9+EjfddBM+\\\n",
       "85nPYNGiRfjqV786zCsTQlQiEkIhRjjFOsftv//+2LRpkxsPMdAHlqVLl+LEE0/EfvvthwMOOACX\\\n",
       "X345ksmk6zp6wgknYOedd8by5csBAGeeeSYOPvhg/PCHP8SCBQtw66234umnn8aPf/xjt44lS5bg\\\n",
       "4osvxh577IEpU6bgvPPOw6RJk5x09oeeJKEaaGxs7CZxhWQjmPZpt2M6ZlDgLPY6cp92Np+da8cm\\\n",
       "MgB8EbRIJNKtcQz3ZbuFWmxTGnsuVp5sl9LgOgvB8+Q52JRTe752+2B6aEdHB1KplE/kwuEw4vG4\\\n",
       "WxOAbp1RrQxzXATrGvni9+02lSYUI4VyRlpHqhCGQiH89Kc/xe677w7gnY7TAAqm2QshBCAhFGLE\\\n",
       "8+CDD5Z1/8ceeyw2b96M888/H62trZg1axbuu+8+1xTm1Vdf9UV+3v/+9+Pmm2/Gueeei29+85vY\\\n",
       "Y489sHLlSuy1115um7POOgvJZBKnnXYatmzZgoMOOgj33XcfYrFYv9ZmH9iCg7j5EP/LX/4Se++9\\\n",
       "90BPf9hZtmwZAP/ICStRlJ9gSiMAJ2V2bEMul3NjGoLCZcWar1wu55uFx3rA+vp6l6rJ/VEIuS+O\\\n",
       "fAhGzgoRHG1RKNoYiUTQ0dEBAC61szcx7I8w2N8ndh/NZrOunrGhoQHAO5FzHp9RRA6yD4VCvoHy\\\n",
       "9fX1rvENU2+Bd35fOZOREcdKkoqRBP/BodSMVCF83/vehzvvvBO//e1vEQqF8IMf/ADnnHPOoLtO\\\n",
       "CyGqFwmhEKJXzjjjjKIpooUa1xxzzDE45phjiu4vFArhoosuwkUXXVSS9TECVo2MGTMGgL9pi5Ur\\\n",
       "G9GyA9mB7Y1beH0Y9QLgoonchmmb3BcjXhwFwdRRG/1jKiXHNvChPBKJOCkMduy0Kaf2WFyvFUqe\\\n",
       "Z0NDA+LxuNuurq7OV9NYqigR12uvWS6Xc/Ici8XcKA1G/djgJplMIpfLubTSeDyOWCyGhoYGJ44c\\\n",
       "j+F5HhoaGpBIJHyyXE3jUoYS/i6VWgpHqhA+/vjjWLhwIZ5//nn88pe/xIEHHujWF+zuLIQQgIRQ\\\n",
       "iBHJxz72MVxwwQV43/ve1+N227ZtwzXXXIOmpiYsXrx4iFYnSgmbQBSrIaQoUo5sOqhNtQTg6um6\\\n",
       "urqQyWTcQ3RDQ4Mb4s60R5sqaZu42PROYHskzdbTMerFkQ/BukCei507yMhasEbPCiEAJ6/pdNoN\\\n",
       "kS/WgKY/UAaj0SgSiQQikQiA7QIbbKBjr7uVPa6Royw4K5HNeawQctYiU0dLKTR2ZEctUC4pHKlw\\\n",
       "7ivwzqzaT3/608hkMrjrrruGb1FCiIpFQijECOSYY47B0UcfjZaWFhx22GHYb7/9MGnSJMRiMbz9\\\n",
       "9tt4/vnn8dhjj+Hee+/FggUL8P3vf3+4l1wWauGhl2mKhbC1cZS5YOMSRp8AuGHzuVwO9fX1rlGK\\\n",
       "HRHBOjf7YG0bzFCcbASRA+FZs9fR0eGiY7ZJi50XyHUz5ZWD7Clk/C7XwSHzVp5slLGvQhiM+nAN\\\n",
       "VjybmpoQi8V851Ro/ETwHvDcrDgyWsuOrXZ+IlNgbfrrYH+fraxWYgfMUmOvf6mlcKRGCIM0NTXh\\\n",
       "7rvvHu5lCCEqGAmhECOQU045BccddxxWrFiB2267DT/+8Y+xdetWAO88mOy5556YP38+/vSnP2HG\\\n",
       "jBnDvFoxGPryoGkf/AulzzKSSOmirDEFE9jeqbVQ2qKd/+d5ni+11Eb++F4ul3NRQgoh36dcAXDp\\\n",
       "mXY8Bf9kdDG4NlvraPdZ7JpZUeT3C3U0ZeoshZQRSR6DYmeF0NY2Uu5yuVxBKQ9GdYMdYEshbrxP\\\n",
       "9pzs+VYr/B2zUlgKqkUIhRCiNySEQoxQotEojjvuOBx33HEAgK1btyKdTmPs2LE9RpXEyIIiYh9O\\\n",
       "iz189vRQauvxKFzZbNZJkW3WUqguz0bibOMVK0h2X9ls1hfJs4PjKSs2Gmhr7mxX1GBzGSuD0WgU\\\n",
       "6XTaCYE9T/t9K3yUt3A47CS3o6PDNwKD4gxsH3dirxWjo0xfjcVibh4irwX3EY/H3ZrsteLnxWY0\\\n",
       "9hebvkoppeD21tCnGghKYSmQEAohagUJoRBVQktLC1paWoZ7GaLEcA6ejfYE6/j6SnAkAqWIg9zt\\\n",
       "7L5Cc/4ohXbchf2cosZ9Bhvf2HRRypStYWRaqE2/ZDqnHTthG78EI5u2qyrTPbkWNnJJJBKoq6tz\\\n",
       "IkiC15gNYiipdl4hay259kQi4USxq6sLkUgE8XgcjY2NqKurczWJXJeNRPI6DEYqeK6ZTAbpdBr5\\\n",
       "fN7JIM+nnCMaqhEJoRCiVpAQCiFEBdPa2upEJxaLIR6Pu8iSfWANPuwXekC13SwpCTbqZUWvUKOW\\\n",
       "vkRfbNpiodRTroOiwjRRW2/IekWmqEYiEZ8w2vOxslxfX49EIoFYLIZwOIyOjg7XfAYAYrEYmpub\\\n",
       "MWrUKDQ0NLhaylAo5DqE2ho87tN2HWUUztZJNjY2+s4vn88jHo8jkUigubkZ9fX1rsFMsMso98Fj\\\n",
       "F7uHwWhp8DPKYFtbG5LJJDzPQ2Njo4tE2vtcjQTTdEshv+UWwnvvvRef+tSnkEwm3T6WLVvmRs0I\\\n",
       "IcRQISEUQogKZsuWLS4SxbROGyGz8hacU1hIHGy9H7cvJn+Dpbd9FGoIQolLJpPIZDIAgHg87puB\\\n",
       "aCOOtiFMJBJBU1OTiwBS8ni+tt6PaaPsnsp92dEdwWtoj2ujhIx22tpHRhp5rwgFlOmrnFPINRIb\\\n",
       "BQ5+budQ2ggsaxjZTZbpvfYzdkKtJoIyyMh3JfPss89iwYIFaG5uxrnnnou99toLv/vd7zB16tTh\\\n",
       "XpoQogaREAohRiy1kKbFlFHKEOfgUWAY9Qk2R2FaqI36scMo6+ZsreBQpxPatedyORex7OjoQDKZ\\\n",
       "xLZt25DNZp34xOPxbrWKPGeOi2AaJtM06+vrXcpoZ2enk2i+GKlraGhwUkhBtCMzbNSQqZk2pRXw\\\n",
       "N4exwmahCNr5kIzuscaSgmsb6NjzBeCrdeQ+7PiNYAMerjmZTLrfp5HOzJkzceSRR7rrBXQXw8FS\\\n",
       "zgjhxz/+cdTV1aGtrc29d+yxx/ZrH0IIUSokhEIIUcEwlbPQgHcORrf1f6xps3V1lI5sNuuib7Zz\\\n",
       "ZrGH2f6McujtO8Fj2GhgOBx258mZfqlUCrlcDg0NDd1GVRQSJKaeMp2W14sNYbidbcxDMaOkMVXV\\\n",
       "Rl8ZMWSELhQK+SSca6B0At3nP9pmLxwRYmWQdX9sXGPXZSN8PJbtFmvTaBkptQ1leB7ZbBbJZBLt\\\n",
       "7e19uqcjhUIyWCrKKYRvvPEGxo8fj3g87sa5zJkzB6tXrx7IUoUQYlBICIUY4Zx44ok45ZRT8MEP\\\n",
       "fnC4lzJs5PP5guMWqgVbI8fIFTtktre3I5VKIZvNIhQKue6YTF+0MkghoBAC8IkLsdEmK2JBrHTa\\\n",
       "1MVgrWGwyyW3oRB2dXUhnU4jFAo5eWKtHdMtC6WXcm12/APlzjaf4czF4HnY60rxojx6nuea62Qy\\\n",
       "GdcwBvALHlMzs9msE0IboeX1T6VSrpbRSlxnZyfS6TS2bdvmmsEEm+NwH1YIY7GYW5O952xSw5pT\\\n",
       "yjalk2uoBoK/T+XYf3+FcP369b73x40bh/Hjxxf8zubNm7Hzzjtj8eLFWLlyJZ544gkcfPDBePjh\\\n",
       "hwe3cCGE6CcSQiFGOFu3bsW8efMwefJknHzyyTjxxBOx8847D/eyhoTgCIRqlEIbyWKaIGuk0um0\\\n",
       "T/B4/kyvBLZHErlte3s70um0L13SSmEwAmc7ZwYHnttaRhs5s/JixzlQnuw2FCkb6eGxbUfVQrV8\\\n",
       "XIvtnGo7hNr0zWL1k7azKCWV27CGkfJHWaNgp1Ipl+bJ7zEyZ5vFMPKYSqXcfWX0zqbNptNp18W1\\\n",
       "UI0gj88OqUz5DYVC3cZp8Jrw/vMcqq2pTLlkEBiYEB522GG+9ydPnoyXX3654HfC4TD+9a9/AQDO\\\n",
       "OeccjBs3Do899tjAFyyEEANEQijECGflypXYvHkzbrzxRvz85z/HsmXLMG/ePJxyyik44ogjamom\\\n",
       "YTVLoZ3DB2wXPStXtruilSdKR7BhChubUNa4fXBcg62ZIzZiySge5ch2GLVNV5i+aMdK2MYwPK+g\\\n",
       "eAZHMgTrHoMCFbx23NZKIY9pa/94/ThLkfu30UGukfWGtrMogG7izuPaDp+Fag/ttbd1hPaYNlrL\\\n",
       "DqlWDG1tIr8frLesptET5T6XgQjhXXfd5WsMM27cuKLfaWpq8v28++6749///vcAViqEEINDQihE\\\n",
       "FTB+/HgsXboUS5cuxdq1a3H99dfj+OOPR1NTE4477jh86Utfwh577DHcyywbjLQA1SeFhRqVMCKV\\\n",
       "zWZdgxibPmmjZJQbW6eWz+cRi8XQ2NiIRCLholVAd4HkiAVKIUWN4sOREQBc1Mw2YbHjMtgp1Xb+\\\n",
       "tIJIrBDZsQ9WkILNU+x583PAH3HktaDgBSOJVghZt8d92TUxSsjryTVwED1Hg1DY7Bp4jOC4jOD8\\\n",
       "xODoDivBdj12JAdTX62k2ntoI+qiPEydOhUzZszodbtEIuHGTZBXX311QPNFhRBisOh/eYSoIt54\\\n",
       "4w3cf//9uP/++1FXV4ePf/zj+Otf/4o999wTl1122XAvr6xYCaz0lvMDhbLC9D+mALLZSVCOgO5S\\\n",
       "wOhgLBZDU1MTRo0ahVGjRqG5udm9WlpaMHr0aIwePRpjxozBmDFj3M/2xfdbWlowatQoNDU1uVRJ\\\n",
       "yhPr3RobGxGPxxGLxZy4BGWHBFNSGYUsFNELjmCw+6VwBgWX16xYhMlGSYMD6O05WHlkB1h+Hhw2\\\n",
       "H4x4Whm0DWKCUmevQ1BaeU5W1O0/BNh/MADg5Fz0jeDvWm+v/vC1r30N+Xwee+yxB37xi1/gIx/5\\\n",
       "CDZv3owPfehDZTobIYQojiKEQoxwOjo68Nvf/hbXX389fv/732PvvffGkiVL8JnPfAajRo0CANxx\\\n",
       "xx343Oc+h69+9avDvNryYiOF1ZIaZ+vHWGcWCoWQTqddXZuVjaBoBVNFAfiiWbFYzNWe8TsAXLMS\\\n",
       "RgatRAUbtvC6s8upFTTKTiQScfV0NsplJcamjQajZ1aGCokg0L3bqU195XFttNN2bg02m+F1ZPon\\\n",
       "a/SCtZAcexGLxXxSx21IUAatwPMaZTIZV1PpeZ7v/G20N5h6atNsec6ZTMbtz/M813BHEcK+M5CU\\\n",
       "0b5y4YUX4oUXXsCvfvUrnHjiiQCA973vffjDH/7Q73UKIcRgkRAKMcLZaaed0NXVhUWLFuGpp57C\\\n",
       "rFmzum3zoQ99CKNHjx7ytQ0HVgqrAUaD+GCfyWR8KaOUBysDFEdKQXt7u+uUSclhWqOtHwS2t/Hn\\\n",
       "n+xUWiyKR4LdRdnUhNE0Ci0Hztu1cFREfX29S9VkgxZbD8fj2kgopayjo8P9bCNklCIrhIwSUpCY\\\n",
       "ehmPx11klfun5FFq7XxCW7tp02cLdW211y0ohUz7jMViTvQBuLmK8XgcoVDIXT/bjZT75D1gR9Nk\\\n",
       "MunSczmSg3Wcou+UU6BvvfVW3HrrrWXbvxBC9BUJoRAjnMsuuwzHHHNMj6lgo0ePxksvvTSEqxpe\\\n",
       "qlEKrdAA8A2n5zaUoGQy6VIdOXuQkmXlKpgWWagxi222Yt+zawumsTJqRoEC4NbBERm2IydrGTlz\\\n",
       "kCLL/duGKjbSxnPgMHnW1VHUMpmMb95ioWHxFLJEIuE6dDICSiG0Iy2CdX5clx0EH7x3/LNQHaBN\\\n",
       "jw3KL8W9qakJ4XDYibStB7RibqPIvB6czZhIJHyRYNE75YwQCiFEJSEhFGKEc/zxxw/3EiqSoMSM\\\n",
       "VIK1kZRA+7Kfc44eo0yMGNqumYyoZTIZnwDZMRQ9Rf9sSqXdl21aw9o/ShaFkJ+zMQ1rGRsbGxGJ\\\n",
       "RJzw2tRO2+U0KKx2ODzlj1FNpskyLZOCRzGyaa2sASzU8CXYqAfYHukLpmyyRpO/f8FxF8FmOoXS\\\n",
       "fXltGDmMx+NO5CjLlO6gpNrIMZvyUAqD9Ykjmb/85S+44447fP84YCnFPwhJCIUQtYKEUAghKphE\\\n",
       "IuGTDTs+wD7YUzwYCeSgevsdbse0ws7OTic6jEYB8D1k29RIK3Ksk7OyZ6N/NmJmh80zxdXKCqWH\\\n",
       "jVooWrYhDs8hmCbJqBjFL5fL+erlwuGwS7kMdjy1UsiIJvdtI5GFxMDWaQYjrbbuzza2sdeyWFMb\\\n",
       "Gy2kyFFgmeZqm+0E6xptJJVSGYlECkYvRc9ICIUQtYKEUAghKpjRo0f75CibzXaL+BEbjbLCYv+k\\\n",
       "lLAWjQISi8XcmAjKno04MV2RkbRYLOZq9iiEmUzG1a3ZNdkon40yFpplaBuncF/B7wbP2c5MtI1v\\\n",
       "uM6gRAUb1RRKJQX69pBvI6S2Zo/Xx0YEeQ5s8kPBIxRzNudhNJPbcK2sY2TdIc+JUsxazGB3ViGE\\\n",
       "EKIQEkIhhKhgxowZ060+kJGnQs1eCnXNDH7OKB2huHBOYDQa9XWrbG9vRyqVco1bEokEACASiTgh\\\n",
       "pKhScmx31GBU00bfGKHkuuy+ikVDge7NZWwdJCNjbJzDCFmhERXc10BhDSOb5QDvNIPJ5/PuOloZ\\\n",
       "tzWPtiOpHdHB9dsZkTa1l1E/Rjt5fgCc9ALoNvpC9A9FCIUQtYKEUAghKpjm5mYAcE1SbIdLCld/\\\n",
       "KFR7yAYvtm4P2D5ovr293XWtZLTKpjEG5+HZiFhw/ILFpmQy9ZNCaIfHByN4tuYxGo269+0sQM49\\\n",
       "ZIQt+P3+XK9i37OR20wm45r55HI53/B4rpfRTkZUKYQUOp4LI7WM/tnGMzatlRFCe36sA2XqKO+D\\\n",
       "jTKKviEhFELUChJCIYSoYCgJjIDZcQqsF7RDzElvjUMK1R8yIsc/KTmpVArpdBqdnZ2u8YuthbNR\\\n",
       "vGAjFa6rUAdTHpsRy2BjGpvmaZu6MAoYj8fheR5isZh73w55t5HBgWLlOdjV09Z22mYuXDuF1XZc\\\n",
       "tdvaKCGFkOLGiCEjf6wJtPWP3Cdl00ZNAbgUVp5/UIxFz0gIhRC1goRQCCEqGD5oUhD4skPGC4mK\\\n",
       "/bMvUATZAMbzPKTTaVcbaAfTF5Ik+/fg0HmmorLmMNjtlJ1RKZ6sj2T0rJAQMlLGejl7LNYIDraR\\\n",
       "SnDWINNTg+Jt6wRZyxiMcMZiMXdewUgq7y9Flz/ba8vPWKNIQbTrsdef/3DANN7Ozk5fraboHQmh\\\n",
       "EKJW0P8zCCGqkmporQ90b59vRw3YYe2UFQC+KF9froONELI7KYXQpm8Gu28yHTT44GxTHFnPxlRJ\\\n",
       "ppbaZixcJ4fIM9WUXTRt11Dunz9zxERwXf15mO/pmnDNPFY0Gi0YJSQ2xZUSR2njOllnGYzuBa+h\\\n",
       "heds73mxc2TUlWNFmIZraw1F70gIhRC1goRQCFF1MOpSDXR2dgLwz1W0MlBIhIDtQtNXbDdQpqJa\\\n",
       "eaPMBI9fiELpi8E5fnZMBgDf8YKzAIPfI8G5gHzP/jwYuKZcLufOqVDkMXgPKOdcO5vsRCIRlzJK\\\n",
       "sbfy2tOaef+L1UIWStnl/eTvAVNZhRBCCIuEUAhRVfQ1KjZS2LZtm6/5SnDWHYXKzv0Dttcc9vVa\\\n",
       "UH5YK8jIEuUQ8ItPTxJDCWKEj7WPjIhRMpmams1mfeMjALjoom0KE+xUapvNFKpNJMVEq1CDHXs9\\\n",
       "2D2UUVM7DN4KqK0XZPdPdghlii+vGesImfpZbEZgofUXiwZaAWR9p+1o6nkecrmcL4osekcRQiFE\\\n",
       "rSAhFEJUDdUmgwDw1ltvOQG0tYMUDRtVGyiUCsola90oF8XkysqIjV4WEkJ2KLViG1w390NxsdE4\\\n",
       "SipTaPl5sFFKcE1BibXHshE0O7sR2N7Vtb29Hdls1kX7bLMaW8+YSCTce9FoFIlEwtcB1I6WsDWP\\\n",
       "waY3du1WfAvJSTCqa+cb2jTiYJRT9A0JoRCiVpAQCiGqgkLdNqtBDrds2eKEMB6PI5FIuGYr0WjU\\\n",
       "N6+P0TUrQzYi1FNEzEaZ7M+FtgumJNpuozxmUGDtHMBia7ECx3vISCUA1yCF0TV2F7XNVHgduC4b\\\n",
       "waOwcRvW1lGqge2/O3ZeIKW40DxFjocIhUKIx+NO1oMdQAF0k79CtYh27UwR5bUMps6yAVAmk/F1\\\n",
       "nQXgfl94DNZmir4jIRRC1AoSQiHEiKdQhKpa6ghTqZSviQpFg1JYX1/vk0KbXshZgbwetmtmoetD\\\n",
       "ebKdKAvVplFEGPmzswtthJARqp7EvNhnNoU1l8u5Bi/s4hmPxwHAdwymRrI5DbflbEJG9iiZyWTS\\\n",
       "pYRSpm3qrU3P5XUvNA+R++2p9pHbF0v7tB1X2R3U8zw3rB6Ai7ZSTnO5nJsTmUql3LzBaDTqIpm8\\\n",
       "l/xvRFLYdySEQohaQUIohBjxBGWwmrAP8IxUUTRsSqWt87NSYOv2rHAwLZQwnZEz/FjbB2xPTbQi\\\n",
       "kk6nfWMqgima/B5TMoMNanqC0sljsAaR4stRE8F6PqZ5JpNJN76irq4OiUTCXRuuhSLV3t7uOp3a\\\n",
       "aBzTUROJhEsLtVJpawgphoUinL1BGaTIplIppFIpV1cZjUbdNeD6uH06nUZ7ezu2bdvm6hy5TSwW\\\n",
       "c9eH94jdUquJcmYBSAiFELWChFAIURVUowwSKxm2mUqhQe+MWCUSCTQ2NjoxsDVxtrsnsL0JTDQa\\\n",
       "RVNTE2KxmBMkiqRNyWR0kCLIVM5C8wX5HUb6eqt3tNEyu07WD1IyKb6c+cfvpVIpJ4Qc78CZhozc\\\n",
       "2eggxdFG9ijGtukL3w+mgdr70xPFUmTt+I1kMon29nZ3rQD4mgYBcDWI3D6VSrn7wFTVWCzm0kUp\\\n",
       "0IOdyVjJ8HdVCCHEwJAQCiFGLDY9stofCCltfAHoJiVMj2xubkZLS4uTOw6ET6VSALbPBGSUjdGv\\\n",
       "5uZmNDc3IxKJuIheOp12YgjAJ2WcQ8h0VCuM7e3tLkLH9wpFJgvBSGQwvZHf44xEihGjczwOo2Fd\\\n",
       "XV1O6Bgp47xDpopyG9ZnxuNxFyXltQ4KeU/dPgs14KFUB6OkwYhrKpVCJpNxgsd7xW2SyaSLENr9\\\n",
       "UVx5DolEAg0NDb5GPNWcKsp7X+r/DVCEUAhRK0gIhRAjnmqXQRu9Ym1aUDxsyqcVG9uMhI1oWF9m\\\n",
       "a9QaGxtdRDEcDjuhKpTiaeXPSho/o3hZaWR6aV9T/Hrazh6jo6PD3X82urGzDPmyYzTYhIWjMCjD\\\n",
       "FGjW3jEqylehiCzXasXLNtfhdchms756SCuE7AJqRZbr57pZQ2mb8thoZlBkeW2YIkwhtPWh1UQ5\\\n",
       "pFBCKISoFarz/xmEEDUBH5qrHZsmSiG00sH3KIOcgWdHMtjmKPF43EWgbIphPB53kTSOMiiW4lms\\\n",
       "Wyngb2ASlKpSUegYdl3B5jahUMiJGTty2no7e924PWWMx2B9YXDeI7ej1FFM2OGVzXGCabNWCq3I\\\n",
       "AvClBNvIJyWF6atMDY7H4672kc117LkCcJ9XE8EuraWUQgmhEKJWqK7/ZxBCiCqFgsOHVKZBsl4Q\\\n",
       "AOLxuC/KVagjZiwW89XUse6MXTTtSAbWBvZ3vmPwIb23be3YiGDEsSd627+VaKD77EGKNEXPjsmw\\\n",
       "aZqsMeS1s11Fea1sMxiOu+C+Ojs7C46GsOdhr7FND6b82+6wdr2UWYosACf0vIf8DqPD1QavkZXC\\\n",
       "UiAhFELUChJCIYSoYArNqgPg6gUbGxvdOAJG+myUy+6H9YL8ru1UaqNZjCzZVEPKaG/RPm4XnDlo\\\n",
       "009tOmcwDdamXZYqoshoajAKZwXCro3plplMBm1tbcjlci6N1kalmcbJZjCsS8zn877Zh4wgBq+n\\\n",
       "TUG115b3iYPt+f1MJuOOz38MCM47DEYdKf+RSMRFEquRoBSWComeEKIWkBAKIUQF09DQ4GtOwjoz\\\n",
       "ikBTU5OLSNkoV6G0OduZk/u1UsLIEtMNKS8UDmB7vRxr+IIjPxjZsrWLtgkKo3PB6KRtPmNTLwfz\\\n",
       "cM+IIFNf7bxEnos9X0ZIAbioX3t7u6vds+mpttsnx1ewYykAV4cYFE5KMO8Tr6tdZ11dnU/2+Z7d\\\n",
       "R7Cm1IpL8B8NmCZczUIIwNf8SAghRN+REAohRAXDNEVgey2albqGhgYA/jpDW1NnKdQlMxh9tLJn\\\n",
       "hcKOeCjUMdQ2tbHNTWzKZCqV8kW4bGdPOxojmUw6iSzUtZPr7Qk70oHnYuWVosq1MQU0EokA2C6E\\\n",
       "rPuz3+/s7PQJod0OeEego9Go6/DKukHKCgWNEUDeW3YY5XXnNjbCaedNFktppHRGo1H3O8HoMc+v\\\n",
       "Gim1DCplVAhRK0gIhRCigolGo74IWyqV8kWHgk1OKHW2loqCEIwIFoMpixQ31iSGQiG3BgC+iBW3\\\n",
       "a2pqct1KKau5XM4JH6WGEbDm5mZfMxuOVWA0z0bECjUQIcFz4jaUW14vRuVsxJCpmDw+z5M1f1bE\\\n",
       "2LDFjn+wcmy7tnKoPQffUygTiQSampqQSCRct1deV0qznSnI43K9jEIG03eDKcU2+sqIcrV25LUy\\\n",
       "yPs7WCSEQohaQUIohBAVDFMKATg5CaZb2pRSpn0yNZP7sNHEYlJAsWPjESs4Vu4YrbKRREpQc3Mz\\\n",
       "GhsbfU1OWH9HKWNzGzvqwj7EU34phlaAge7jJWyzHa7byqdtxMIIGSOD9lhcY/BaBuWys7PTRWG5\\\n",
       "FtbqRaNRn/BRZm3toBVhXld2PWVElfLGlNB4PO46v9rfB/s7wbXxZdNTbQpvtRGUwVIhIRRC1AoS\\\n",
       "QiHEiKUWHsLscHE+5LNBSS6Xc2mBwVEDTFMEtqcosuFMsQddiiYjV8FRCwBcLZutd6urq/NJEAWS\\\n",
       "4gigWw0dUyqj0ahPViig7Oxp6w3tOAgrazYCCmyvx2O9ZTBFNRwOu9RMdgbldQ5GIW1qanDUBbez\\\n",
       "EdLGxkZ3HVivR1Gj3PEaBaWZ+2dElefEWsRYLOaikawnzWQy7vrwvvBcKKi8F9X434u9P6WUQUBC\\\n",
       "KISoHSSEQogRT6kHUlcSTDe0ET+OFGAjFEbCgvVsjK6xMQng7wIarCWkWPA7ti6R0klh6+zsBAAX\\\n",
       "VeM8PCuDbBLDjqWMxNnOppQeRvIAuAgio2fB+X9BIQx27GRXTl4L1gaysUp9fb2r96NsU7JsbR7P\\\n",
       "P9gZ1R7PRuE49sPOBeSxKdmUYf6da2ZaJ9NbbQOgYCMaCm0mk3ERRaawUoJ5XJ4TG/5U638npZZB\\\n",
       "QEIohKgdJIRCiBELH9JLPZC6kshkMgDgq0GzM/IAuNEEHH5u592xHg6AT3AYWSwkhdzGjkTgnxSX\\\n",
       "RCLh0jztmARKHNMb0+m0q41j1JLyQtFl1M2mQDK6RRm0MsM0zWDXTSuEjJxRmFhDxzXymlGgbL2i\\\n",
       "HWZvU0L5mZ0RSNGicNoIKa8j5Zq/o/x+UCLsWBDeV/7dSqpNX+U52HmFlHX+YwG/z+tZbZRDBgEJ\\\n",
       "oRCidqi+/2cQQtQk1SqFfKC3qXGMgFF2KGa2+6eVGFtnZ/dpB7GToAQGsemRTFOkKLJWjnLHiCVH\\\n",
       "MmSzWQBwnUpTqZS7Z1w/Rcc2VaEkFWsqE+y4SUnlNrlczjfmgRFM23TFRtEikYiTJ55LoVEZFDbu\\\n",
       "084FDNY18j4Ua+xTKIpnt7N1k/y7HRMSrGnkdbb3Mp/Pu5Thkc7MmTNx1FFHOQkOUg3nKIQQQ4WE\\\n",
       "UAgx4uHDcDVKYaHxCnacgpWBYKMVO0oim836RjGEQiHE4/Fu9Xe9YVNLWU9oa9/sWIpMJuOilnau\\\n",
       "ITtqep7nE1vOHmQKaiwW86Ws2jXwHPlzcI2MzEUiESetvHbB2Yl2/6yhtDMAbeMWyqKVadv0htfS\\\n",
       "rqlQJLanaxs8V66bUVdbV2rTXG3do40M2wgsu5ZWA6UcQF8IRQiFELWChFAIMeKxDTmC4wiqESt2\\\n",
       "bDTDFyNMwU6bjHJRDCgzhQab94aNetnRC3aovP2Z6wyKCqObti6Q0cG6ujpfpLPQGuy4BfunlVQr\\\n",
       "xVwXt+G6uC0jdGwOwxmQwQihTWG116Kna9iX61toG14bm1LL9di03uA1Cs5h5N/T6XSv6xDvICEU\\\n",
       "QtQKEkIhRFUQlMJqx0aCbKojUyCDKaS8NpSlVCrl5KanKGEwHZPHtg1jbO0io4SUOVvrF/wuZda+\\\n",
       "T6xcssumlUB7DYIvyhMjk4yO8pXNZl0TnnQ67a4P5diOqGB0kc1e+FmhFFabplssNbQ3Cm3Pfdtx\\\n",
       "IjZVl+u2KaO2I6oVwmqsISwXEkIhRK2g/2cQQlQNVgqrkaCU8T07DD0ej7u5f8lk0pdGSkEA3mlW\\\n",
       "Q7FhE5fgsZgKGYyGsalJJpNBe3u7qxGk5FkhKXQvCo104PuMiOVyOaTTaSeDwVpHGw22EUGeL2WY\\\n",
       "6wLgRlGwvtAOlWcE0NbnMYXVzrkLXieugbLGFE42jqGsFTrvQrJd6FoVum68P7aekedY6B8BrBSK\\\n",
       "viEhFELUChJCIURVUa1SGOwySWzXz+bmZiQSCQBwIlSonrKrqwvZbNZFlbLZbLdOjUyPjEajvlmB\\\n",
       "/D6bxiSTSbS3t7tZfjZCVkjgiv1szxF4J52U6Y2UuEJRSr5sJMwOZ7fpqnV1da7mEkC3CCa/m8lk\\\n",
       "3LZ2/mM0GnXbMq3VyjG7u7JhjR0vwetmx2vY2sNi0USbksptKX9Mb+VIC3svef+tmNv5iaJ3JIRC\\\n",
       "iFpBQiiEqDoY9aoWbLQO8KdX2hl4bMTClMyeoHBxhl2w6QlnATKV0ka6bC2ircPjNnZOXzCSF6zz\\\n",
       "tNGy4Pc7OzuRTCaRTqe7ia3dT/DP4MtuS7mzQmprD5lqyqipbSgTjUbdz5wzCMB1TKUYUwjj8biT\\\n",
       "aQBOLnnutqOpTUMtJMoU/3g87uSuvr4eiUTCCSEA37iNUCjUTQqr7R9KhBBCDB4JoRCiKin0YD0S\\\n",
       "sTWCdjaejcYxasRtbL1ZcF4f9xdsShM8JiWGnTaLNXahqPDYdui8HYUQHJtgX/YcmZ7K9fXUWCZY\\\n",
       "O8j3Cv1pty+GjfYx0sf1Uq7s2IdYLObe54iNdDoNz3unw2k2m/XN/gsKITua8mdKXVBkeX8ikQia\\\n",
       "mprcuA9GCDkCxKbW2hmJweY5om8oQiiEqBUkhEIIUcEwNZGiRWkJdtnki2mSwYHrgD9F0TYqsZJg\\\n",
       "BdM2KeExrWjEYjHk83mfjNh5f1YI7ZgE++KxGelkkxuOpuBA+0Kz5kipJMfW2fF8rUxbsaWsclYh\\\n",
       "5ZvXnPeB6aeAP0WV0s3zsmmjNtXV3rdwOOyijrbJjf3dILxHmUzG1RRaGRW9IyEUQtQKEkIhhKhg\\\n",
       "mpqafCmYtibOihaboHDmoB1QD2wXBEbzuI9CwmgHswNw6aeUP5umyoikrXGzclOo+YuNstl6Osok\\\n",
       "j8kIHc9jKGQmGJUrJN22TjEWiznhs6muNtU02EmV+6TwUaQpILYZDkU7Go26SGAkEulWc2jFnumn\\\n",
       "bDZkx39UUyp1uZEQCiFqBQmhEEJUMKNHj3Z/D8qgjWhlMhkXKbJCaKNRTC+sq6tDJpPxzTCkMFI8\\\n",
       "KI75fB6pVArZbNbVsMViMbcto4MAfPV/QPdZgUGpCjZZYcSLXTqt3PK8hyrlsViKqk155TZM9bQy\\\n",
       "bLcrtu+Ojg53L9gUxvM816yH4zLq6+sRj8eRz+fR1NTki8Cyo2pwViIjh9Fo1Ndgp1j67UjjL3/5\\\n",
       "C+644w73uxukFOIrIRRC1Ard/1dUCCHwzsPq2WefjZkzZ6KxsRGTJk3CCSecgA0bNvT63auvvhq7\\\n",
       "7747YrEY5syZg6eeesr3eSaTweLFizF27Fg0NTXh6KOPxsaNG8t1KiOa0aNHo6WlBYlEwkWRiglh\\\n",
       "MplEMpl0aZaM3NmxFBy4blM6KRGJRAJNTU1obm524ytyuRySySS2bt2Kbdu2ubl9wPbIFkcfMHpo\\\n",
       "I5r8u01v5HfYhZMSaAWKKalMkQw2vhku7DUvFIkt1Fm1UK0jP7f3btu2be7Fe8kurtu2bXPjPSh/\\\n",
       "bB6UTqexbds23z3K5/Ooq6tDNBp1jWcaGxtdF1rRO7Zbbl9eQggxUpEQCiEKkkqlsHbtWpx33nlY\\\n",
       "u3YtfvOb3+CFF17A4Ycf3uP3brvtNixduhTLli3D2rVr8d73vhfz58/Hpk2b3DZf/epXcdddd2HF\\\n",
       "ihV4+OGHsWHDBhx11FHlPqURCR/iKUUcFUFYN8g0Qw5jt50xKXpNTU2+jpSUQY6taGpqwqhRo9DY\\\n",
       "2OgiVhRCiiYjizbS1FMHy+BnwaHtlKJ0Ou2OQeEsNPaip9EMxbDHK9WDO687G8rYKF1/9sEIH8Wv\\\n",
       "vb3dRWRZp2ib1iSTSVcXyFcymURbW5t7tbe3u/sUPJ5qCIUQQgRRyqgQoiAtLS24//77fe9dddVV\\\n",
       "OOCAA/Dqq69it912K/i9Sy+9FKeeeipOPvlkAMC1116Le+65Bz/72c/wjW98A1u3bsV1112Hm2++\\\n",
       "GR/+8IcBANdffz1mzJiBJ554Au973/tKsv5qSIsD4CJ5ti7PziMMpmDyfX6HUhWLxRCNRos2HwnO\\\n",
       "zbOD3m29YXBuHwD3p40IBiNlFltTxxrBbDbr9mu7lAYHvAdTAe2cvmLHsimspRSiQtenv508CzX3\\\n",
       "CdZL2m1sMxvWlLJGkE1jGhoaXHox/wHBflf0DaWMCiFqBQmhEKLPbN26FaFQyFfXZsnlclizZg3O\\\n",
       "Oecc9144HMa8efOwevVqAMCaNWvQ0dGBefPmuW2mT5+O3XbbDatXry6JEFZTFMQKoX0VewBliijT\\\n",
       "SxkhZO2fFTmmcXKofVNTEyKRiEtFpGww0mTr4mxjGNspk8e2nUwpSbZbJuAf85BMJtHZ2emilxTB\\\n",
       "SCSCWCzmonCU0kKRxmDTFtsxldtYqR0MNnXUinh/pZDXwDayCdYo2khiOp1GXV2dq/9khJCppDxX\\\n",
       "NrphYxobyRR9Q0IohKgVJIRCiD6RyWRw9tlnY9GiRRg1alTBbd58803k83lMmDDB9/6ECRPw97//\\\n",
       "HQDQ2tqKSCTSTSonTJiA1tbWosdnehxpa2sruF01zlpjpCwajSIejzsxohSw2Yutt6M4UtAoaZQ8\\\n",
       "1hHW19c7GaQwptNpZDIZJxlsbMKX53nIZrNuIDvvSyQScXWKnJXH+8bB9XYQO4XS7ociW19f7wQ1\\\n",
       "Ho/76vW4HtYuMnLIJjTcxjbSYZOaTCbjxGiwvyeUORu1HMg+7SiRYvuhpPNPXiemrVJMmcrb0dGB\\\n",
       "ZDKJ+vp6X82jIoT9Q6InhKgFVEMohAAA3HTTTa7OrKmpCY8++qj7rKOjA5/61KfgeR5+9KMfDcv6\\\n",
       "li9fjpaWFvfaddddu21TjTII+AfAs9GKbRTS3NyMUaNG+V6UvGBTFqaIxuNx913WKDKqZyODtnMl\\\n",
       "U0rtnMBt27b5atc4LoEpimx4smXLFrz99ttoa2tzdXA2MsYIGwXHRibZiIYvXgfWPLa0tKC5uRmN\\\n",
       "jY3uPCi73K65udmdK+W4lPWEpeiA2tt+OO4im8366gkpg/wuG9W0t7ejra3NNalRhLB/DGVTmWnT\\\n",
       "piEUCmH8+PElWr0QQvQdRQiFEACAww8/HHPmzHE/77zzzgC2y+Arr7yCBx54oGh0EADGjRuHurq6\\\n",
       "bh1DN27ciIkTJwIAJk6ciFwuhy1btviihHabQpxzzjlYunSp+7mtrQ0/+clP3M/BVEGgeuoIge1z\\\n",
       "+uLxOLq6ulzEi50kKX7B5iu2hi7YURRAt/ERttaMQsZIG4/BSGM2m3URN67Rzgy0HVC5jRXNaDTq\\\n",
       "9h+JRJzYcN+cRWgjpJQedk2Nx+MIhUI+ieT+GV1kkxwKqF3jSPsd4Zrt73iwyRCvISOXxbqcip4Z\\\n",
       "qpTRZcuW4cUXX1Q0UggxbEgIhRAA4CIoFsrgiy++iAcffBBjx47tcR+RSASzZ8/GqlWrsHDhQgDv\\\n",
       "PMCuWrUKZ5xxBgBg9uzZaGhowKpVq3D00UcDAF544QW8+uqrmDt3btF9s9tkIYIyGA6Hq6qOENge\\\n",
       "JYxGo6420AoeZ8+xiYgVh6BA8Pu2aQtn2lkhZIMXO7IiGo26fTNdklFEu1beAzZysWmuNirIyGMi\\\n",
       "kXDbMSU1lUq5fYfDYTeYnd1TKai2xpJRMAqhbajD9TLFcqhnG5YCKym9rd3ed/4s+s5QCOH69etx\\\n",
       "0UUX4fOf/zyuv/76Ae1DCCEGi4RQCFGQjo4OfPKTn8TatWtx9913I5/Puxq/HXbYwTX/OPTQQ3Hk\\\n",
       "kUc64Vu6dClOPPFE7LfffjjggANw+eWXI5lMuq6jLS0tOOWUU7B06VLssMMOGDVqFL785S9j7ty5\\\n",
       "A24oE5TBasTKH0dFANtFkVFBphUyQmQ7fwLbG5ZYibKfMWWT3+VICkbjIpGIk7bgOAk2jeHLdgxl\\\n",
       "9JBRPxuZjEQiaGpqQigUQiqVcutvb293jWYopjwG5x7W17/zf2MUU8oxhdBuR6nM5XIuAjlSBrXb\\\n",
       "62ubzxRqkMPry+tuu5RW2z+UVBrr16/3/Txu3Lge00BnzZqF8ePH4yc/+YmEUAgxbEgIhRAFef31\\\n",
       "1/Hb3/4WwDsPLZYHH3wQhxxyCIB3HoDefPNN99mxxx6LzZs34/zzz0draytmzZqF++67z9do5rLL\\\n",
       "LkM4HMbRRx+NbDaL+fPn45prrhnUeqtVBoNpf7ZzJuAfu2DTBTmP0Hb3BLZHU1lfZ2WR0mBTRePx\\\n",
       "uJtfGI1Gu3X1pEyxNpHyxePZhjaMQtpRCazps41wksmkm6vY0dGBWCzmOqVSIik7jERaGWUjFa7H\\\n",
       "CrMdr1FfX+8ioZUshfzdpjyzsU+w1pPb2npTXgt2Ga22pjLlvG8DiRAedthhvvcnT56Ml19+ueB3\\\n",
       "PvaxjyGZTOLFF18c1DqFEGKwSAiFEAXZfffd+/SwVehh54wzznARw0LEYjFcffXVuPrqqwezxIJ1\\\n",
       "ctVGOp3uJoNWcoJYIeQoB37PjpyIxWK+dEwALjJnG8lQBpmuWSjCZKONVuyA7eMjCkW2GN0KRipt\\\n",
       "WqftGBqPx53k2Yd129jDzkFkVNBuZzuv8vPgbMNKg+dCMeZoEP5u2IYyNrWYKb7sHAtUZ9ooa2lL\\\n",
       "zUCE8K677sLUqVPd++PGjSu4/W9/+1v87ne/ww9+8IMea6eFEGIokBAKIUY81SqDALBt2zb30M/a\\\n",
       "OcAvQUHszDqOhLAyBsA3soKCRUljqifr9CiDxY7H963YWUGz75HgzEAKI5vNMArW2dnp5u7Z2sPg\\\n",
       "Ogp1fbRyyO35XqE1VSI2OhiPx9Hc3OzqIQG4KKHdnhFCdqMF3rm+dmZktVEOKRyIEE6dOhUzZszo\\\n",
       "dfuf//znAICvfe1r+NrXvubef/PNN13qdDweH8CqhRCi/0gIhRAjlmDTjGqEjVUoaQC6pWUWolAt\\\n",
       "IQCfgMViMddoxTaj4ee2Bq83eaK49EXKiqVoBmsQrcT2J7JVKHJYbK0jAVs3ySY5HD9hI7zERkLZ\\\n",
       "dIe1mEw1rhaYvgyUXgrL2VRm+fLl+MAHPuB777/+678Qj8dx8cUXSwaFEENKdf0/gxBCVBkXXnjh\\\n",
       "cC9BiIqG0U+gtFJYTiGcNm0apk2b5nvva1/7GuLxOJYsWdKvfQkhxGCp3jwrIYQQQtQEVgIrvSZU\\\n",
       "CCEqDUUIhRBCCDHisZHCUjBUg+lJtdZ3CiEqHwmhEEIIIUY8pZ6xONRCKIQQw4WEUAghhBAjGtt4\\\n",
       "yDaaGQwSQiFErSAhFEIIIcSIJSiDpZotKSEUQtQKEkIhxIhFD2FC1DY2EkgZLBUSQiFEraAuo0KI\\\n",
       "EU+pa4eEECOLUsugEELUEooQCiFGLBxMz4HqeiAUovYolwwqQiiEqBUkhEKIqkBSKERtUq7/5iWE\\\n",
       "QohaQUIohBjxMEooKRSitiiniEkIhRC1goRQCDHiCYfDrtMgpVAIIQaDhFAIUStICIUQVUFQCoUQ\\\n",
       "YrBI9IQQtYDyqoQQVUM4HNYDnBBCCCFEP1CEUAhRVdhIoRBCDBSljAohagUJoRCi6giHw8jn88O9\\\n",
       "DCHECEZCKISoFSSEQoiqhJ1HhRBiIEgIhRC1goRQCCGEECKAhFAIUStICIUQQgghAkgIhRC1goRQ\\\n",
       "CCGEECKAhFAIUSto7IQQQgghhBBC1CiKEAohhBBCBFCEUAhRK0gIhRBCCCECSAiFELWChFAIUZVo\\\n",
       "5IQQYjBICIUQtYKEUAhRdWgovRBisEgIhRC1goRQCFFVSAaFEKVAQiiEqBXUZVQIUTVYGdQDmhBC\\\n",
       "CCFE7yhCKISoCqwM1tXVoauraxhXI4QY6ShCKISoFSSEQogRT1AGhRBisEgIhRC1goRQCFE1SAaF\\\n",
       "qC3K2U1YQiiEqBUkhEKIEYt9CJMMClGbdHV1IRwufUsECaEQolaQEAohRjySQSFqF8/zyiKFEkIh\\\n",
       "RK2gLqNCCCGEGNFQCoUQQvQfRQiFECMWz/P0L/NC1DD879/zvJJHChUhFELUChJCIYQQQoxYwuEw\\\n",
       "urq6fFJYKiR6QohaQEIohBBCiBFNUApLgSKEQohaQUIohBBCCBFAQiiEqBUkhEIIIYQY0TA6CLwj\\\n",
       "Z6WIEkoIhRC1goRQCCGEECOWoAyGw2Hk8/lB71dCKISoFSSEQogRix7ChKhtbCSQMiiEEKJ/SAiF\\\n",
       "EEIIMaIphwwqQiiEqBUkhEKIEU8+n0ddXd1wL0MIMQyUKzIoIRRC1AoSQiHEiMUOppcUClGblCtN\\\n",
       "VEIohKgVJIRCiKpBUihEbVFOEZMQCiFqBQmhEGLEU1dX57oKSgqFEKVAQiiEqBXUjksIURVYCSxF\\\n",
       "y3khhBBCiFpAQiiEqBqsFJZiMLUQonZhhLCvr/6wxx57oK6uzn03FovhJz/5SZnORAghekZCKISo\\\n",
       "KpQuKoQoBeUUwldeeQUHHnggrrzySnzve9+D53k47bTT8NJLL5XpbIQQojiqIRRCVB22plAIIQZC\\\n",
       "OWsIc7mc7+cDDzwQBx10EC6//HJcccUV/dqXEEIMFgmhEGLE09XVVfSzV155ZQhXIoQYCvjfted5\\\n",
       "Pf73PxgGIoTr16/3vT9u3DiMHz++1+/ze1OmTOnnKoUQYvBICIUQIxY+hPVUL7h27VqsXbt2qJYk\\\n",
       "hBhiylUvPBAhPOyww3zvT548GS+//HKP383lcjj11FNRV1eHJUuWDGSpQggxKCSEQoiaZShbxRd7\\\n",
       "aK21NVTKOrSGylpHf9dQqU2j7rrrLkydOtX9PG7cuF6/M3HiRORyOdx1113lXJoQQhRFQiiEqGpC\\\n",
       "oRDC4bCvppDvDTVdXV3uQbYS1gAMXxMe3Y/uawB0P/p6P4LXrRwMJEI4depUzJgxo8/HGDt2LN5+\\\n",
       "+23ceuut+MQnPjGgdQohxGBRl1EhRJ/44he/iFAohMsvv7zXba+++mrsvvvuiMVimDNnDp566inf\\\n",
       "55lMBosXL8bYsWPR1NSEo48+Ghs3bizTyrvXGA5HdCH4AFvO2qeeCJ77cKxB92M7uh/b11AJ98NS\\\n",
       "zi6j+XweY8eOxVtvvYXrr78exx57bJnOQgghekdCKITolTvuuANPPPEEJk2a1Ou2t912G5YuXYpl\\\n",
       "y5Zh7dq1eO9734v58+dj06ZNbpuvfvWruOuuu7BixQo8/PDD2LBhA4466qiyrN3zPF/UgQxlF9Jg\\\n",
       "5MPWPg7lQ28wCjQcawhei0JrG+o16H7ofhSinEI4fvx4vPXWWzjjjDOw22674YEHHsADDzyA119/\\\n",
       "vUxnI4QQxZEQCiF65PXXX8eXv/xl3HTTTWhoaOh1+0svvRSnnnoqTj75ZOy555649tprkUgk8LOf\\\n",
       "/QwAsHXrVlx33XW49NJL8eEPfxizZ8/G9ddfj8cffxxPPPFE2c6DKWg2JW8oHnoLpcGFw+Ehf+i1\\\n",
       "51pXVzcsayh0LXQ/dD8q4X4UoxwyCABvv/02AOCqq67CoYce6l6LFi0q9SkIIUSvSAiFEEXp6urC\\\n",
       "8ccfj69//et4z3ve0+v2uVwOa9aswbx589x74XAY8+bNw+rVqwEAa9asQUdHh2+b6dOnY7fddnPb\\\n",
       "lJpgPdJQPfT2VBM1lA+9QfkYjjX0dC10P4Z+DbofvVPOCCEzF4KvRx55pExnI4QQxZEQCiGK8r3v\\\n",
       "fQ/19fX4yle+0qft33zzTeTzeUyYMMH3/oQJE9Da2goAaG1tRSQSwejRo4tuU4hsNou2tjbfq68U\\\n",
       "ak5R7ofevjTIGIqH3mLyMZRr6Mu10P0YujXofgghhLBICIUQAICbbroJTU1N7vXwww/jiiuuwA03\\\n",
       "3DDkbfALsXz5crS0tLjXrrvu2qfv9bT2cj309qdbYjkfenuTj6FYQ3+uhe5H+deg+9F3yhkhFEKI\\\n",
       "SkJCKIQAABx++OF49tln3evxxx/Hpk2bsNtuu6G+vh719fV45ZVX8F//9V/YfffdC+5j3LhxqKur\\\n",
       "69YxdOPGjZg4cSKA7TO3tmzZUnSbQpxzzjnYunWre7322muDOl9S6ofegYwyKMdDb1/lo5xrGMi1\\\n",
       "0P0o3xp0P/qHhFAIUStICIUQAIDm5ma8613vcq/TTjsNf/nLX3ySOGnSJHz961/H7373u4L7iEQi\\\n",
       "mD17NlatWuXe6+rqwqpVqzB37lwAwOzZs9HQ0ODb5oUXXsCrr77qtilENBrFqFGjfK9SUaqH3sHM\\\n",
       "tSvlQ29/5aMcaxjMtdD9KP0aqu1+DMVoDAmhEKJW0GB6IURBxo4di7Fjx/rea2howMSJE/Hud7/b\\\n",
       "vXfooYfiyCOPxBlnnAEAWLp0KU488UTst99+OOCAA3D55ZcjmUzi5JNPBgC0tLTglFNOwdKlS7HD\\\n",
       "Djtg1KhR+PKXv4y5c+fife9739CdYIC6ujr3sJvP5/s9ILwUQ87D4bDbDwWgv/sZqHyUcg2luBa6\\\n",
       "H6VbQzXej6GgP6InIRRCjGQkhEKIQbF+/Xq8+eab7udjjz0Wmzdvxvnnn4/W1lbMmjUL9913n6/R\\\n",
       "zGWXXYZwOIyjjz4a2WwW8+fPxzXXXDMcy/cx0IfeUjzsksEIwGDloxRrKOW10P0Y/Bqq+X6UGwmh\\\n",
       "EKJWCHlD9U9tQghRQtra2nDppZf2+iA2kAfQ/jzIl/JhdzD7LZV8DGYN5boWuh8DW0M134++pK5e\\\n",
       "cMEF2Lp1a7/Ty9etW4c999wTGzZs6PN329raMGnSJDz//POYMWNGv44nhBDDjWoIhRAiQF9rpsr1\\\n",
       "sAv0r36sHPLR3zWU81rofvR/DdV+PxSRE0KI0iEhFEKIAvT20FvOh13SFwEol3z0Zw1DcS10P/q+\\\n",
       "hlq5H+VGTWWEELXCyPtfaCGEGCKKPfQO5cNuTwJQbvnoyxqG8lrofvS+hlq7H+VEQiiEqBXUVEYI\\\n",
       "IXog2EgjFAoN+cNuoaYitvy7nPLR0xoADPm10P0ovgagNu9HuVBTGSFErTBy/5daCCGGCPuAP1wP\\\n",
       "u8GoUKG1DfUahuta6H4UXkMt349yoAihEKJWGNn/ay2EEENE8IFvOB52g8ccjodQKyFcw3BcC92P\\\n",
       "7WvQ/SgPEkIhRK0w8v8XWwghykyhuWd9aXtfaoLH7K3TZDkIXotKWAOg+1FJawCG534IIYQYGBJC\\\n",
       "IYTogWCDjL623C81wYYlfR0/UEqC16IS1qD7oftRLhQhFELUChJCIYQoQrFuiUP90Fuoe2V/ZtKV\\\n",
       "gkLXohLWAOh+1Pr9KBcSQiFErSAhFEKIAvTWOn+oHnp7GmUwVALQ07WohDUAuh+VtAagOqRQQiiE\\\n",
       "qBUkhEIIEaCvc9TK/dDbl7l25RaAvlyLSlgDoPtRSWsARr4USgiFELWChFAIIQz9Hapdrofe/gw5\\\n",
       "L5cA9OdaVMIaAN2PSloDUL77EWxiUw4khEKIWkFCKIQQ/z/9fdglpX7o7Y98kFILwECuRSWsAdD9\\\n",
       "qKQ1AOW9H0IIIQZP/XAvQAghBkJfIwSe5w3oAXKg3wPKF5nqD4NZf6n2VQlrAHQ/KmkNwNAK3WAi\\\n",
       "idu2betz5G/btm0DPo4QQgw3IW8o8i6EEKLE/Otf/8Kuu+463MsQQlQwr732GnbZZZd+fae1tRU7\\\n",
       "7bTTgI73xhtvYOLEiQP6rhBCDBcSQiHEiKSrqwsbNmxAc3NzTdfvtLW1Ydddd8Vrr72GUaNGDfdy\\\n",
       "hg1dh3fQdXgHz/Owbds2TJo0qc+prZbW1la8/fbb/frOmDFjJINCiBGJhFAIIUYwbW1taGlpwdat\\\n",
       "W2taAHQd3kHXQQghRH9RUxkhhBBCCCGEqFEkhEIIIYQQQghRo0gIhRBiBBONRrFs2TJEo9HhXsqw\\\n",
       "ouvwDroOQggh+otqCIUQQgghhBCiRlGEUAghhBBCCCFqFAmhEEIIIYQQQtQoEkIhhBBCCCGEqFEk\\\n",
       "hEIIUUF0dHTg7LPPxsyZM9HY2IhJkybhhBNOwIYNG3r97tVXX43dd98dsVgMc+bMwVNPPeX7PJPJ\\\n",
       "YPHixRg7diyamppw9NFHY+PGjeU6lUHR27kEWbFiBaZPn45YLIaZM2fi3nvv9X3ueR7OP/987LTT\\\n",
       "TojH45g3bx5efPHFcp7CoFm+fDn2339/NDc3Y8cdd8TChQvxwgsv9Pq9arwWQgghyoeEUAghKohU\\\n",
       "KoW1a9fivPPOw9q1a/Gb3/wGL7zwAg4//PAev3fbbbdh6dKlWLZsGdauXYv3vve9mD9/PjZt2uS2\\\n",
       "+epXv4q77roLK1aswMMPP4wNGzbgqKOOKvcp9Zu+nIvl8ccfx6JFi3DKKafgmWeewcKFC7Fw4UI8\\\n",
       "99xzbptLLrkEV155Ja699lo8+eSTaGxsxPz585HJZIbqtPrNww8/jMWLF+OJJ57A/fffj46ODnz0\\\n",
       "ox9FMpks+p1qvRZCCCHKiCeEEKKieeqppzwA3iuvvFJ0mwMOOMBbvHix+zmfz3uTJk3yli9f7nme\\\n",
       "523ZssVraGjwVqxY4bZZt26dB8BbvXp1+RY/AHo7lyCf+tSnvAULFvjemzNnjveFL3zB8zzP6+rq\\\n",
       "8iZOnOh9//vfd59v2bLFi0aj3i233FKGMygPmzZt8gB4Dz/8cNFtauVaCCGEKB2KEAohRIWzdetW\\\n",
       "hEIhjB49uuDnuVwOa9aswbx589x74XAY8+bNw+rVqwEAa9asQUdHh2+b6dOnY7fddnPbVAJ9OZcg\\\n",
       "q1ev9m0PAPPnz3fbv/TSS2htbfVt09LSgjlz5lTUuffG1q1bAQA77LBD0W1q5VoIIYQoHRJCIYSo\\\n",
       "YDKZDM4++2wsWrQIo0aNKrjNm2++iXw+jwkTJvjenzBhAlpbWwEAra2tiEQi3aTSblMJ9OVcgrS2\\\n",
       "tvZ67nyvr/usNLq6urBkyRIceOCB2GuvvYpuVwvXQgghRGmREAohxDBy0003oampyb0effRR91lH\\\n",
       "Rwc+9alPwfM8/OhHPxrGVYrhZvHixXjuuedw6623DvdShBBCVBn1w70AIYSoZQ4//HDMmTPH/bzz\\\n",
       "zjsD2C6Dr7zyCh544IGi0UEAGDduHOrq6rp1DN24cSMmTpwIAJg4cSJyuRy2bNniixLabSqBvpxL\\\n",
       "kIkTJ/Z67nxvp5128m0za9asEq6+PJxxxhm4++678cgjj2CXXXbpcdtqvxZCCCFKjyKEQggxjDQ3\\\n",
       "N+Nd73qXe8XjcSeDL774Iv7whz9g7NixPe4jEolg9uzZWLVqlXuvq6sLq1atwty5cwEAs2fPRkND\\\n",
       "g2+bF154Aa+++qrbphLoy7kEmTt3rm97ALj//vvd9lOmTMHEiRN927S1teHJJ5+sqHMP4nkezjjj\\\n",
       "DNxxxx144IEHMGXKlF6/U63XQgghRBkZ7q42QgghtpPL5bzDDz/c22WXXbxnn33We+ONN9wrm826\\\n",
       "7T784Q97//M//+N+vvXWW71oNOrdcMMN3vPPP++ddtpp3ujRo73W1la3zRe/+EVvt9128x544AHv\\\n",
       "6aef9ubOnevNnTt3SM+vL/R2Lscff7z3jW98w23/xz/+0auvr/d+8IMfeOvWrfOWLVvmNTQ0eH/9\\\n",
       "61/dNt/97ne90aNHe3feeaf3l7/8xTviiCO8KVOmeOl0esjPr6+cfvrpXktLi/fQQw/5fg9SqZTb\\\n",
       "plauhRBCiPIhIRRCiAripZde8gAUfD344INuu8mTJ3vLli3zffd//ud/vN12282LRCLeAQcc4D3x\\\n",
       "xBO+z9PptPelL33JGzNmjJdIJLwjjzzSe+ONN4bgrPpPT+dy8MEHeyeeeKJv+1/96lfetGnTvEgk\\\n",
       "4r3nPe/x7rnnHt/nXV1d3nnnnedNmDDBi0aj3qGHHuq98MILQ3EqA6bY78H111/vtqmVayGEEKJ8\\\n",
       "hDzP84YnNimEEEIIIYQQYjhRDaEQQgghhBBC1CgSQiGEEEIIIYSoUSSEQgghhBBCCFGjSAiFEEII\\\n",
       "IYQQokaREAohhBBCCCFEjSIhFEIIIYQQQogaRUIohBBCCCGEEDWKhFAIIYQQQgghahQJoRBCiBHB\\\n",
       "ddddh49+9KNlP859992HWbNmoaurq+zHEkIIIYYbCaEQQoiKJ5PJ4LzzzsOyZcvKfqyPfexjaGho\\\n",
       "wE033VT2YwkhhBDDjYRQCCFExXP77bdj1KhROPDAA4fkeCeddBKuvPLKITmWEEIIMZxICIUQQgwZ\\\n",
       "mzdvxsSJE/Gd73zHvff4448jEolg1apVRb9366234rDDDvO9d8ghh2DJkiW+9xYuXIiTTjrJ/bz7\\\n",
       "7rvj4osvxgknnICmpiZMnjwZv/3tb7F582YcccQRaGpqwt57742nn37at5/DDjsMTz/9NNavXz/w\\\n",
       "kxVCCCFGABJCIYQQQ8b48ePxs5/9DBdccAGefvppbNu2DccffzzOOOMMHHrooUW/99hjj2G//fYb\\\n",
       "0DEvu+wyHHjggXjmmWewYMECHH/88TjhhBNw3HHHYe3atZg6dSpOOOEEeJ7nvrPbbrthwoQJePTR\\\n",
       "Rwd0TCGEEGKkICEUQggxpHz84x/Hqaeeis9+9rP44he/iMbGRixfvrzo9lu2bMHWrVsxadKkAR/v\\\n",
       "C1/4AvbYYw+cf/75aGtrw/77749jjjkG06ZNw9lnn41169Zh48aNvu9NmjQJr7zyyoCOKYQQQowU\\\n",
       "JIRCCCGGnB/84Afo7OzEihUrcNNNNyEajRbdNp1OAwBisdiAjrX33nu7v0+YMAEAMHPmzG7vbdq0\\\n",
       "yfe9eDyOVCo1oGMKIYQQIwUJoRBCiCFn/fr12LBhA7q6uvDyyy/3uO3YsWMRCoXw9ttv97rffD7f\\\n",
       "7b2Ghgb391AoVPS94JiJt956C+PHj+/1mEIIIcRIRkIohBBiSMnlcjjuuONw7LHH4lvf+hY+//nP\\\n",
       "d4vOWSKRCPbcc088//zz3T4Lpnn+85//LMkaM5kM1q9fj3322ack+xNCCCEqFQmhEEKIIeW///u/\\\n",
       "sXXrVlx55ZU4++yzMW3aNHzuc5/r8Tvz58/HY4891u39O++8E7/5zW+wfv16fPvb38bzzz+PV155\\\n",
       "Ba+//vqg1vjEE08gGo1i7ty5g9qPEEIIUelICIUQQgwZDz30EC6//HLceOONGDVqFMLhMG688UY8\\\n",
       "+uij+NGPflT0e6eccgruvfdebN261ff+ggULcMkll2DPPffEI488gmuuuQZPPfUUbrzxxkGt85Zb\\\n",
       "bsFnP/tZJBKJQe1HCCGEqHRCnu2zLYQQQlQoxxxzDPbdd1+cc845AN6ZQzhr1ixcfvnlJT3Om2++\\\n",
       "iXe/+914+umnMWXKlJLuWwghhKg0FCEUQggxIvj+97+Ppqamsh/n5ZdfxjXXXCMZFEIIURMoQiiE\\\n",
       "EGJEUq4IoRBCCFFLSAiFEEIIIYQQokZRyqgQQgghhBBC1CgSQiGEEEIIIYSoUSSEQgghhBBCCFGj\\\n",
       "SAiFEEIIIYQQokaREAohhBBCCCFEjSIhFEIIIYQQQogaRUIohBBCCCGEEDWKhFAIIYQQQgghahQJ\\\n",
       "oRBCCCGEEELUKBJCIYQQQgghhKhRJIRCCCGEEEIIUaNICIUQQgghhBCiRpEQCiGEEEIIIUSNIiEU\\\n",
       "QgghhBBCiBrl/wPesq/aPKqdpgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[2] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAuSdJREFUeJzsvXmcXHWV/v/Ufqvq1tZLOhtCRBANMCBrEIURxjiiwqiojMgi\\\n",
       "giIqmN9XFAURRHH5iqAM8lUQlxFlmBnDKMqIgKKCiIA6IAKjRBDS6a32fbm/P/J6Tk7d7g6dQEgn\\\n",
       "fd6vV72Srrp17+d+qpV68pzznIDneR4MwzAMwzAMwzCMBUdwey/AMAzDMAzDMAzD2D6YIDQMwzAM\\\n",
       "wzAMw1igmCA0DMMwDMMwDMNYoJggNAzDMAzDMAzDWKCYIDQMwzAMwzAMw1igmCA0DMMwDMMwDMNY\\\n",
       "oJggNAzDMAzDMAzDWKCYIDQMwzAMwzAMw1igmCA0DMMwDMMwDMNYoJggNAzDMAzDMAzDWKCYIDQM\\\n",
       "wzAMwzAMw1igmCA0DMMwDMMwDMNYoJggNAzDMAzDMAzDWKCYIDQMwzAMwzAMw1igmCA0DMMwtoqf\\\n",
       "/exnCAQC+NnPfra9l2I8x/zmN79BNBrFX//61+f92pOTk0gmk/jRj370vF/bMAxjIWKC0DAMw9gs\\\n",
       "V111Fb7xjW9s72VsFddffz0uv/zy7b0MAECv18PnPvc5rFixAo7jYN9998V3v/vdOb+/UCjgjDPO\\\n",
       "wPDwMJLJJP7+7/8e999//7TjbrjhBpx44onYY489EAgEcOSRR27xWj/2sY/hhBNOwK677rrF7322\\\n",
       "DA4O4l3vehcuuOCC5/3ahmEYC5GA53ne9l6EYRiGMX/Ze++9MTQ0NM0J7PV6aLVaiEajCAbn578v\\\n",
       "vu51r8ODDz6IdevWbe+l4LzzzsNnPvMZnH766TjooINw00034eabb8Z3v/tdvO1tb9vse3u9Hl7x\\\n",
       "ilfg97//PT70oQ9haGgIV111FZ588kncd9992GOPPeTYI488Evfddx8OOugg/O53v8O+++67RS7u\\\n",
       "7373O+y///646667sGrVqq293WfFww8/jJe+9KW47bbb8KpXvWq7rMEwDGOhYILQMAxjDlSrVSST\\\n",
       "ye29jO3CbIJwR2C+CMKnnnoKK1aswBlnnIErr7wSAOB5Ho444gg8/vjjWLduHUKh0Kzv/7d/+ze8\\\n",
       "9a1vxY033og3v/nNAIDx8XHsueee+Md//Edcf/31cuyTTz6JZcuWIRgMbtVnd/bZZ2Pt2rVYt24d\\\n",
       "AoHA1t3wc8A+++yD/fffH9/61re22xoMwzAWAvPzn3QNwzC2IU899RROO+00LF26FLFYDCtWrMCZ\\\n",
       "Z56JVqsFAPjGN76BQCCAn//853jve9+LRYsWYfny5fL+q666CitXrkQsFsPSpUtx1llnoVAo9F3j\\\n",
       "sccew5ve9CYsXrwYjuNg+fLleNvb3oZisSjH3HrrrTj88MORzWbhui5e/OIX46Mf/egzrn8u72s2\\\n",
       "m7jwwgvxohe9CLFYDLvssgvOPfdcNJvNaef713/9Vxx88MFIJBLI5XJ45StfiZ/85CcAgN122w0P\\\n",
       "PfQQfv7znyMQCPSVIM7WQ3jjjTfigAMOQDwex9DQEE488UQ89dRTfceccsopcF0XTz31FI477ji4\\\n",
       "rovh4WH8n//zf9Dtdp9xD2666SYcc8wx8hnuvvvu+OQnP9n33iOPPBI333wz/vrXv8rad9ttt1nP\\\n",
       "ecopp8hx/scnPvGJZ1zTM6233W7jve99rzwXCARw5pln4m9/+xvuvvvuzb7/3//93zEyMoI3vvGN\\\n",
       "8tzw8DDe8pa34Kabbur7XHfZZZdn5diuXbsWr3rVq6aJwdn2YbfddsMpp5wiP/N/P7/85S/xgQ98\\\n",
       "AMPDw8hms3j3u9+NVquFQqGAk046CblcDrlcDueeey5m+rfpf/iHf8APfvCDGV8zDMMwnjvC23sB\\\n",
       "hmEYzydPP/00Dj74YOnH2muvvfDUU0/h3//931Gr1RCNRuXY9773vRgeHsbHP/5xVKtVAMAnPvEJ\\\n",
       "XHTRRTj66KNx5pln4pFHHsFXvvIV3HvvvfjVr36FSCSCVquF1atXo9ls4v3vfz8WL16Mp556Cj/8\\\n",
       "4Q9RKBSQyWTw0EMP4XWvex323XdfXHzxxYjFYvjf//1f/OpXv9rs+ufyvl6vhze84Q345S9/iTPO\\\n",
       "OAMveclL8D//8z/44he/iEcffRRr166VYy+66CJ84hOfwGGHHYaLL74Y0WgU99xzD26//Xa8+tWv\\\n",
       "xuWXX473v//9cF0XH/vYxwAAIyMjs67vG9/4Bk499VQcdNBBuPTSS7FhwwZcccUV+NWvfoUHHngA\\\n",
       "2WxWju12u1i9ejUOOeQQ/N//+3/x05/+FF/4whew++6748wzz9zsPnzjG9+A67pYs2YNXNfF7bff\\\n",
       "jo9//OMolUr4/Oc/D2BjH1yxWMTf/vY3fPGLXwQAuK476znf/e534+ijj+577pZbbsF3vvMdLFq0\\\n",
       "SJ6bmJjY7NpIKpVCLBYDADzwwANIJpN4yUte0nfMwQcfLK8ffvjhs57rgQcewMte9rJpQu/ggw/G\\\n",
       "V7/6VTz66KPYZ5995rSuzfHUU0/hiSeewMte9rJnfS7+7l900UX49a9/ja9+9avIZrO466678IIX\\\n",
       "vACf/vSn8aMf/Qif//znsffee+Okk07qe/8BBxyAL37xi3jooYew9957P+v1GIZhGLPgGYZhLCBO\\\n",
       "OukkLxgMevfee++013q9nud5nnfdddd5ALzDDz/c63Q68vrY2JgXjUa9V7/61V6325Xnr7zySg+A\\\n",
       "9/Wvf93zPM974IEHPADejTfeOOs6vvjFL3oAvPHx8S1a/1ze9+1vf9sLBoPeL37xi77nr776ag+A\\\n",
       "96tf/crzPM977LHHvGAw6P3TP/1T3/143qa98DzPW7lypXfEEUdMu84dd9zhAfDuuOMOz/M8r9Vq\\\n",
       "eYsWLfL23ntvr16vy3E//OEPPQDexz/+cXnu5JNP9gB4F198cd85999/f++AAw7Y/CZ4nler1aY9\\\n",
       "9+53v9tLJBJeo9GQ54455hhv1113fcbzzcRjjz3mZTIZ7x/+4R/6fg8AzOlx3XXX9a3jhS984bRr\\\n",
       "VKtVD4D3kY98ZLNrSSaT3jvf+c5pz998880eAO+WW26Z8X2zfXaz8dOf/tQD4P3gBz+Y9hoA78IL\\\n",
       "L5z2/K677uqdfPLJ8jP/97N69eq+36NVq1Z5gUDAe8973iPPdTodb/ny5TOu8a677vIAeDfccMOc\\\n",
       "128YhmFsOVYyahjGgqHX62Ht2rV4/etfjwMPPHDa6/4SudNPP72vr+unP/0pWq0WzjnnnD6n5vTT\\\n",
       "T0c6ncbNN98MAMhkMgCA//7v/0atVptxLXTKbrrpJvR6vTnfw1zed+ONN+IlL3kJ9tprL0xMTMiD\\\n",
       "4Rx33HEHgI2lgb1eDx//+MenOU9b0zv229/+FmNjY3jve98Lx3Hk+WOOOQZ77bWX7I/mPe95T9/P\\\n",
       "r3jFK/CXv/zlGa8Vj8fl7+VyGRMTE3jFK16BWq2GP/3pT1u8dj/VahX/9E//hFwuh+9+97t9vwe3\\\n",
       "3nrrnB6rV6+W99TrdXELNdyner2+2fU82/fPlcnJSQBALpd71uc67bTT+n6PDjnkEHieh9NOO02e\\\n",
       "C4VCOPDAA2f8zLmGuTqyhmEYxtZhJaOGYSwYxsfHUSqV5lx+tmLFir6fOZPtxS9+cd/z0WgUL3zh\\\n",
       "C+X1FStWYM2aNbjsssvwne98B694xSvwhje8ASeeeKKIxbe+9a245ppr8K53vQsf+chHcNRRR+GN\\\n",
       "b3wj3vzmN2+2/2su73vsscfw8MMPY3h4eMZzjI2NAQD+/Oc/IxgM4qUvfemc9uOZmG1/AGCvvfbC\\\n",
       "L3/5y77nHMeZtsZcLod8Pv+M13rooYdw/vnn4/bbb0epVOp7Tfdpbi2nn346/vznP+Ouu+7C4OBg\\\n",
       "32v+stK5EI/HZ+zfbDQa8vq2fP+W4j0HfXsveMEL+n7m7/4uu+wy7fmZPnOuYXsG2xiGYSwETBAa\\\n",
       "hmHMwrP5kv2FL3wBp5xyCm666Sb85Cc/wQc+8AFceuml+PWvf43ly5cjHo/jzjvvxB133IGbb74Z\\\n",
       "t9xyC2644Qa86lWvwk9+8pNZEyfn8r5er4d99tkHl1122Yzn8H8h315sLlVzcxQKBRxxxBFIp9O4\\\n",
       "+OKLsfvuu8NxHNx///348Ic/vEWO60xcccUV+O53v4t//dd/xX777Tft9dHR0TmdJ5PJyO/QkiVL\\\n",
       "cMcdd8DzvD6Bs379egDA0qVLN3uuJUuWyLGaub5/rlD8zkWUk9nE42yf70zPz3QOrmFoaGjOazEM\\\n",
       "wzC2HCsZNQxjwTA8PIx0Oo0HH3xwq97PId2PPPJI3/OtVguPP/74tCHe++yzD84//3zceeed+MUv\\\n",
       "foGnnnoKV199tbweDAZx1FFH4bLLLsMf//hHfOpTn8Ltt98uJZ2z8Uzv23333TE1NYWjjjoKRx99\\\n",
       "9LQHHbzdd98dvV4Pf/zjHzd7vbk6NLPtD597roac/+xnP8Pk5CS+8Y1v4Oyzz8brXvc6HH300TOW\\\n",
       "OW6pu/SLX/wC/+f//B+cc845ePvb3z7jMUuWLJnT44YbbpD37LfffqjVanj44Yf7znXPPffI65tj\\\n",
       "v/32w/333z9N7N5zzz1IJBLYc889t+g+Z2OvvfYCADz++OMzvl4ul6c9R8f5uYZr8AfxGIZhGM8t\\\n",
       "JggNw1gwBINBHHfccfjBD36A3/72t9Nef6YyuaOPPhrRaBRf+tKX+o699tprUSwWccwxxwAASqUS\\\n",
       "Op1O33v32WcfBINBKfubmpqadn6KgplKA8lc3veWt7wFTz31FL72ta9NO7Zer0ti6nHHHYdgMIiL\\\n",
       "L754mtDQ95dMJqeN1ZiJAw88EIsWLcLVV1/ddw8//vGP8fDDD8v+PFvoMOk1tlotXHXVVdOOTSaT\\\n",
       "cy4hXb9+Pd7ylrfg8MMPl6TSmdiaHsJjjz0WkUikb42e5+Hqq6/GsmXLcNhhh/Wt409/+hPa7bY8\\\n",
       "9+Y3vxkbNmzAf/7nf8pzExMTuPHGG/H6179+xv7CrWHZsmXYZZddZvzfB4BpI0Z+/OMfo9FobJPR\\\n",
       "EPfddx8ymQxWrlz5nJ/bMAzD2ISVjBqGsaD49Kc/jZ/85Cc44ogjZCTD+vXrceONN+KXv/xl31gE\\\n",
       "P8PDwzjvvPNw0UUX4TWveQ3e8IY34JFHHsFVV12Fgw46CCeeeCIA4Pbbb8f73vc+HH/88dhzzz3R\\\n",
       "6XTw7W9/G6FQCG9605sAABdffDHuvPNOHHPMMdh1110xNjaGq666CsuXL9/s+IG5vO8d73gH/u3f\\\n",
       "/g3vec97cMcdd+DlL385ut0u/vSnP+Hf/u3f8N///d848MAD8aIXvQgf+9jH8MlPfhKveMUr8MY3\\\n",
       "vhGxWAz33nsvli5diksvvRTAxvj/r3zlK7jkkkvwohe9CIsWLZKAGk0kEsFnP/tZnHrqqTjiiCNw\\\n",
       "wgknyNiJ3XbbDR/84Ae39mPr47DDDkMul8PJJ5+MD3zgAwgEAvj2t789oyg54IADcMMNN2DNmjU4\\\n",
       "6KCD4LouXv/618943g984AMYHx/Hueeei+9973t9r+27777Yd999AWxdD+Hy5ctxzjnn4POf/zza\\\n",
       "7TYOOuggrF27Fr/4xS/wne98p6+M8rzzzsM3v/lNPP744zI38c1vfjMOPfRQnHrqqfjjH/+IoaEh\\\n",
       "XHXVVeh2u7jooov6rnXnnXfizjvvBLCxb7ZareKSSy4BALzyla/EK1/5ys2u9dhjj8X3v//9aeWt\\\n",
       "APDwww/jta99Ld7whjfg6aefxhVXXIFMJoO77roL3/3ud3HCCSds8d7Mxq233orXv/711kNoGIax\\\n",
       "rdke0aaGYRjbk7/+9a/eSSed5A0PD3uxWMx74Qtf6J111lles9n0PG9TbP5Moyk8b+OYib322suL\\\n",
       "RCLeyMiId+aZZ3r5fF5e/8tf/uK9853v9HbffXfPcRxvYGDA+/u//3vvpz/9qRxz2223eccee6y3\\\n",
       "dOlSLxqNekuXLvVOOOEE79FHH93s2uf6vlar5X32s5/1Vq5c6cViMS+Xy3kHHHCAd9FFF3nFYrHv\\\n",
       "2K9//eve/vvvL8cdccQR3q233iqvj46Oesccc4yXSqU8ADIiwD92gtxwww1yvoGBAe/tb3+797e/\\\n",
       "/a3vmJNPPtlLJpPT7u/CCy/05vKfpl/96lfeoYce6sXjcW/p0qXeueee6/33f//3tPVUKhXvn//5\\\n",
       "n71sNusB2OwIiiOOOGLWERIzjVvYUrrdrvfpT3/a23XXXb1oNOqtXLnS+9d//ddpx3Ekx+OPP973\\\n",
       "/NTUlHfaaad5g4ODXiKR8I444ogZf0e5h1t7H/fff78HYNrYEgDemjVrvOOPP96Lx+PekiVLvCuv\\\n",
       "vNK7+uqrvUQi4b3rXe/yPG/2//1wXf6RKTP9Ljz88MMegL7/zRiGYRjbhoDnbYM6D8MwDMMwdliO\\\n",
       "OuooLF26FN/+9rfluUAggAsvvBCf+MQntvn1zznnHNx555247777zCE0DMPYxlgPoWEYhmEYfXz6\\\n",
       "05/GDTfcIKNEnk8mJydxzTXX4JJLLjExaBiG8TxgPYSGYRiGYfRxyCGHoNVqbZdrDw4OolKpbJdr\\\n",
       "G4ZhLETMITQMwzAMwzAMw1igmENoGIZhGMYzYpEDhmEYOyfmEBqGYRiGYRiGYSxQTBAahmEYhmEY\\\n",
       "hmEsUKxk1DCMHZJer4enn34aqVTKkggNw+jD8zyUy2UsXboUweCW/9v3unXrMD4+vkXvGR4exm67\\\n",
       "7bbF1zIMw9jemCA0DGOH5Omnn8Y111yzvZdhGMY85aKLLsKTTz6J5cuXb9H71q1bhxUrVmzVNR9/\\\n",
       "/HEThYZh7HBYyahhGDskqVQKwMZh2fawhz3s4X/o/5/YErbUGdza9775zW9GMBiU9a5atUpem5iY\\\n",
       "gOu6ffcTiURw/fXXb/XaDMMwZsMEoWEYOyT8wmcYhjEbz/b/J7ZEfG4pU1NTcF0XBx988LTXHnvs\\\n",
       "MdRqNey///64+OKL8Y53vAOdTgdvf/vbn9X9GIZhzISVjBqGYRiGYfjYUrG3pWM5br/99r5raVat\\\n",
       "WoVer9f3XDQaxbXXXouvfvWrOOOMM7boWoZhGJvDBKFhGIZhGIaPrRGEDz30UN9zS5Ys2eIextl4\\\n",
       "+umnAQD777//c3I+wzAMYoLQMAzDMAzDx9aUg5566ql9P2cyGRQKhWe9lnXr1uHHP/4xQqEQDjro\\\n",
       "oGd9PsMwDI0JQsMwDMMwDB9bIwivu+46rFy5Un5esmTJs17HxMQEXvjCFwIA7r777md9PsMwDD8m\\\n",
       "CA3DMAzDMHxsjSBcuXLlc+rgTUxMYGRkBJ7n4Sc/+Ym5g4ZhbBMsZdQwDMMwDGOeQTHY6/Xwgx/8\\\n",
       "AP/wD/+wvZdkGMZOijmEhmEYhmEYPp7NSIm58Ic//AHXXnut/Lxu3TqcffbZWLlyJd74xjeKGDz7\\\n",
       "7LPRaDTw7//+7wCAww8/HIsXL95m6zIMY+FhgtAwDMMwDMPHthaEF154IdauXSs/j46O4ktf+hLC\\\n",
       "4TDa7baMnbjiiitwxRVXyHHHHXccvv/972+zdRmGsfAwQWgYhmEYhuFjWwvCZxJ1Z5111ja7tmEY\\\n",
       "hsYEoWEYhmEYho9tLQgNwzDmCyYIDcMwDMMwfJggNAxjoWApo4ZhGIZhGIZhGAsUcwgNwzAMwzB8\\\n",
       "mENoGMZCwRxCwzDmzGc+8xkEAgGcc845mz3uxhtvxF577QXHcbDPPvvgRz/6Ud/rnufh4x//OJYs\\\n",
       "WYJ4PI6jjz4ajz322DZcuWEYxpZBQTjXh2EYxo6KCULDMObEvffei//3//4f9t13380ed9ddd+GE\\\n",
       "E07AaaedhgceeADHHXccjjvuODz44INyzOc+9zl86UtfwtVXX4177rkHyWQSq1evRqPR2Na3YRiG\\\n",
       "MSdMEBqGsVAwQWgYxjNSqVTw9re/HV/72teQy+U2e+wVV1yB17zmNfjQhz6El7zkJfjkJz+Jl73s\\\n",
       "ZbjyyisBbHQHL7/8cpx//vk49thjse++++Jb3/oWnn766b6ZXIZhGNsTE4SGYSwUTBAahvGMnHXW\\\n",
       "WTjmmGNw9NFHP+Oxd99997TjVq9ejbvvvhsA8Pjjj2N0dLTvmEwmg0MOOUSOmYlms4lSqdT3MAzD\\\n",
       "2FaYIDQMY6FggtAwjM3yve99D/fffz8uvfTSOR0/OjqKkZGRvudGRkYwOjoqr/O52Y6ZiUsvvRSZ\\\n",
       "TEYeu+yyy5bchmEYhmEYhjEDJggNw5iVJ598EmeffTa+853vwHGc7bqW8847D8ViUR5PPvnkdl2P\\\n",
       "YRg7N+YQGoaxULCxE4ZhzMp9992HsbExvOxlL5Pnut0u7rzzTlx55ZVoNpsIhUJ971m8eDE2bNjQ\\\n",
       "99yGDRuwePFieZ3PLVmypO+Y/fbbb9a1xGIxxGKxZ3tLhmEYc8KEnmEYCwVzCA3DmJWjjjoK//M/\\\n",
       "/4Pf/e538jjwwAPx9re/Hb/73e+miUEAWLVqFW677ba+52699VasWrUKALBixQosXry475hSqYR7\\\n",
       "7rlHjjEMw5gPmDtoGMZCwBxCwzBmJZVKYe+99+57LplMYnBwUJ4/6aSTsGzZMukxPPvss3HEEUfg\\\n",
       "C1/4Ao455hh873vfw29/+1t89atfBQCZY3jJJZdgjz32wIoVK3DBBRdg6dKlOO64457X+zMMw5iN\\\n",
       "LRF7JgoNw9iRMUFoGMaz4oknnkAwuKnY4LDDDsP111+P888/Hx/96Eexxx57YO3atX3C8txzz0W1\\\n",
       "WsUZZ5yBQqGAww8/HLfccst271M0DMMgJggNw1goBDzP87b3IgzDMLaUUqmEyy67zL6IGYYxI5/4\\\n",
       "xCdQLBaRTqe36H333nsvDj74YAwNDfX9Y9fm6PV6mJiYwG9+8xscdNBBW7NcwzCM7Yb1EBqGYRiG\\\n",
       "YRiGYSxQrGTUMAzDMAzDh5WMGoaxUDBBaBjGTs0ee+yB3XbbbXsvwzCM55B169bhscce26bXMEFo\\\n",
       "GMZCwQShYRg7NbvtthsOO+yw7b0MwzCeY0wQGoZhPDeYIDQMwzAMw/BhgtAwjIWCCULDMAzDMAwf\\\n",
       "JggNw1goWMqoYRiGYRiGYRjGAsUcQsMwDMMwDB/mEBqGsVAwQWgYhmEYhuHDBKFhGAsFE4SGYRiG\\\n",
       "YRg+TBAahrFQMEFoGIZhGIbhwwShYRgLBROEhmEYhmEYPkwQGoaxULCUUcMwDMMwDMMwjAWKOYSG\\\n",
       "YRiGYRg+zCE0DGOhYILQMAzDMAzDhwlCwzAWCiYIDcMwDMMwfJggNAxjoWCC0DAMwzAMw4cJQsMw\\\n",
       "FgomCA3DMAzDMGbAhJ5hGAsBSxk1DMMwDMMwDMNYoJhDaBiGYRiG4cNKRg3DWCiYIDQMwzAMw/Bh\\\n",
       "gtAwjIWCCULDMAzDMAwfJggNw1gomCA0DMMwDMPwYYLQMIyFgglCwzAMwzAMHyYIDcNYKJggNAzD\\\n",
       "MAzD8GGC0DCMhYKNnTAMwzAMwzAMw1igmENoGIZhGIbhwxxCwzAWCiYIDcMwDMMwfJggNAxjoWAl\\\n",
       "o4ZhGIZhGD4oCOf62FLe/OY3IxgMyvtXrVrV93qn00Emk5HXg8EgPvOZzzxXt2cYhiGYIDQMwzAM\\\n",
       "w/CxrQXh1NQUXNfFwQcfPOPrS5YsQalUwqpVq7BmzRoEAgGcd955WLdu3bO8M8MwjH6sZNQwDMMw\\\n",
       "DMPHti4Zvf3222d9f6fTwcTEBIaHh3HXXXcB2OgoHnbYYTj22GPx+9//fouvZxiGMRvmEBqGYRiG\\\n",
       "YcwjrrzySgDACSecIM+xpPTRRx/dLmsyDGPnxRxCwzAMwzAMH1vjED700EN9zy9ZsgTLly/f4mvf\\\n",
       "e++9ADCtrzAUCqHdbm/x+QzDMDaHCULDMAzDMAwfWyMITz311L7nM5kMCoXCc700wzCM5xQrGTUM\\\n",
       "wzAMw/CxNaEy1113HX7zm9/I48EHH9yqax900EEAgLvvvrvv+W63i0gk8uxuzDAMw4cJQsMwDMMw\\\n",
       "DB9bIwhXrlyJgw46SB5bUy4KAO973/sAAN/73vfkOZaR7rnnns/yzgzDMPqxklHDMAzDMAwf2zpl\\\n",
       "9A9/+AOuvfZa+XndunU4++yzsXLlSpxxxhkYGhrC2NgYXv7yl+Owww7DZZddBgC46aabtvhahmEY\\\n",
       "m8MEoWEYhmEYxvPMhRdeiLVr18rPo6Oj+NKXvoRwOIwzzjgD69evx+DgIO666y7cddddCAQCuOSS\\\n",
       "S7DbbrtttzUbhrFzYoLQMAzDMAzDx7Z2CL///e9v9vVwOIxisbjF5zUMw9hSTBAahmEYhmHMwNYI\\\n",
       "PcMwjB0NE4SGYRiGYRg+trVDaBiGMV8wQWgYhmEYhuHDBKFhGAsFE4SGYRiGYRg+TBAahrFQMEFo\\\n",
       "GIZhGIbhwwShYRgLBRtMbxiGYRiGYRiGsUAxh9AwDMMwDMOHOYSGYSwUTBAahmEYhmH4MEFoGMZC\\\n",
       "wQShYRiGYRiGDxOEhmEsFEwQGoZhGIZh+DBBaBjGQsEEoWEYhmEYhg8ThIZhLBQsZdQwDMMwDMMw\\\n",
       "DGOBYg6hYRjGPOad73wnPM9Dt9tFIBBAIpHAyMgIXvCCF2Dx4sVIp9OIRCJyfK/XQ6vVQqlUwuTk\\\n",
       "JKrVKsLhMAYGBjAwMIBkMolQKIRerwcA8Dyv772dTgftdhu9Xg+BQADhcBiRSAShUKjPBfE8D71e\\\n",
       "D91uF91uF57nIRgMwvM8OYfneYhEIojFYohEIvA8T67X7XZRqVQwOjqKxx9/HBs2bAAAjIyMYNdd\\\n",
       "d8WSJUuQSqUQiUQQCATQ7XZRLpexYcMGPPnkkxgdHcXk5CQqlQrq9TparZZcb2BgALvtthv23HNP\\\n",
       "vOAFL0Amk0E4HIbneWg0Gsjn81i/fj3Wr1+PYrGITqeDeDyOoaEhjIyMwHVdNJtNPPnkk3jggQdQ\\\n",
       "KBTQ6XQQiUQQjUYRj8cRjUYBAK1WS67f7XYRDAYRDAYRCoUQCoVkT7hfnuchFArBcRykUim4rgvH\\\n",
       "ceB5Hur1OkqlEkqlktwXPwsACAaDiEQiCIfDCIVCstedTgfdbleOC4fDcBwH6XQaqVQK0WgUnU4H\\\n",
       "jUYDjUYDN9100zb8jd15MIfQMIyFgglCwzCMeYwWFIRCjALD8zz5QhoIBEQ4JBIJBINBhMNhxONx\\\n",
       "hMPhvuP0OTX8IkxxsyVfdvV7KRJner8+LhQKifCLRqOIRCLT3ucXVcAm4RMMBhGNRkXEBgIBtNtt\\\n",
       "1Ot11Ot1OI4zbS/1+fwP//P+4zudDoLBjQU2FGMUxVwD//Svn49ut4t2u41WqyVr7nQ6ffc3257x\\\n",
       "Mdtx/rXy3K1WC+12e86f5ULHBKFhGAsFE4SGYRjzGLpHFBzRaBShUAgApglFQgcKABKJhPwcjUZF\\\n",
       "yBB+kaWo1CKQP8/li7EWmnQT6Yb538vzhUIhEXWu6yIUCiGVSsFxHITDYVmX/14peF3XRSKRkP2h\\\n",
       "yAoGg2i32yiVSigUCuKgRqNREUrtdlsenU4H4XAYrVZLRBOf18Jb/9ntdgGgT8Bp95Pr1cJWi8FW\\\n",
       "q9UnKili2+22vF+LP71vM4nlmeB+0LFtNptotVqb/RyNTZggNAxjoWCC0DAMYx6Ty+UAoE8Quq4r\\\n",
       "4k4LJS0YKBwpLMLhsDiE+ni/mKBQo5hh2aMWNX54Hi0odZmjFqF+4eg4DjKZjJRYZrNZJBKJaWvV\\\n",
       "9xGPx5HNZtHtdqWMk25YpVJBtVqF53kol8uYnJzsO1en00Gz2USj0UC9Xkej0UCn0wEA1Go1VKtV\\\n",
       "hEIhNJtNNJtN2Xe9v3Q0uWZ+Bp1Op89d1Puh0eKSpZzcMwo47p/fFfR/Dvrz4Ov6s+a5Wq0Wms2m\\\n",
       "OYRbgAlCwzAWCiYIDcOYlUsvvRT/+Z//iT/96U+Ix+M47LDD8NnPfhYvfvGLN/u+G2+8ERdccAHW\\\n",
       "rVuHPfbYA5/97Gfx2te+Vl73PA8XXnghvva1r6FQKODlL385vvKVr2CPPfbY1re0w7F06dJp7pjj\\\n",
       "OFIOSsfJ7+xRrACYJib8okKXRvJ1nm8uJaN+UUIhqZ+bSbhEIhEkk0l0u10Rga7rIh6P97mgJBQK\\\n",
       "iRjkMY7jiIva6XRQKBQwPj6OUqmEVquFfD4vopb9dqVSCcViUXr1KCbpWNKpK5fLIvJ0aWsikYDr\\\n",
       "uohEImi324hGoyiXyyIu/YJuJpe02+1KGafuNeRatKDWnynFpb9smEIwGo3KnoTDYXEH6XxS/BrP\\\n",
       "jAlCwzAWCiYIDcOYlZ///Oc466yzcNBBB6HT6eCjH/0oXv3qV+OPf/wjksnkjO+56667cMIJJ+DS\\\n",
       "Sy/F6173Olx//fU47rjjcP/992PvvfcGAHzuc5/Dl770JXzzm9/EihUrcMEFF2D16tX44x//KKWO\\\n",
       "xkaWLFky7Tkt1Bg6QgGoHT39JXW2L6y6fLLX6/UFl/jP4y/fpJDU16Ag1OjeOZ6LvY0UthS1kUhE\\\n",
       "egj9bmQ4HEYymUQ4HEav1xMBxICXbrcLx3HkGuVyGfV6Hfl8HoFAALVaDe12GxMTE5iYmEChUEC9\\\n",
       "XofneWi1WiKyKpUKut0uisWihPno8tZ0Oo2BgQHE43G0Wi0UCoW+e9SCjg6i3gvuu94T3Reon+fn\\\n",
       "yeszEIifF8tyKVRTqRRSqRRisZgE8TDgZ3P9iYZhGMbCxQShYRizcsstt/T9/I1vfAOLFi3Cfffd\\\n",
       "h1e+8pUzvueKK67Aa17zGnzoQx8CAHzyk5/ErbfeiiuvvBJXX301PM/D5ZdfjvPPPx/HHnssAOBb\\\n",
       "3/oWRkZGsHbtWrztbW/btje1g5HNZgH0u3p0l+gw6TRQHcrifx/RoqTdbqNarYpYikajSCQSkkY6\\\n",
       "k5DU6aIzOVla3GgnSx8HQM7vTz2lqOLx2h2NxWLSC6jdSJZcuq4rTpjneahWq6jX6yIAW60Wpqam\\\n",
       "MDExgVKphHa7jUAgIA5as9lELBZDIBCQklEK1VgshmQyiUwmg8HBQSSTSdl/9ufRkeN9snxT74Xu\\\n",
       "JdR9hgyj0fcWiUTgOE5fsmmz2UStVhMBH41GRaQODw9LCW61WkUwGJTy2JlEtjE75hAahrFQMEFo\\\n",
       "GMacKRaLAICBgYFZj7n77ruxZs2avudWr16NtWvXAgAef/xxjI6O4uijj5bXM5kMDjnkENx9992z\\\n",
       "CkL2dJFSqbS1t7FDQceUXzgp4hgYQtHC8kmKDJ3UqZ0nLc663S5qtRqmpqaQz+fRbDbhOA4GBwen\\\n",
       "9Q9qEUkhStE2kyupyx8ZzsJj2d+mr8GgFfa5eZ4nIle7lRSRFFd0N3lOiiMdzFKtVlGpVNBut9Fo\\\n",
       "NKRUlHsHoK+klCEzAESEUZglk0mk02nkcjkkEgkJoqlUKqjVatIPqB3FSCQi96cFnxbEdBIp9nnt\\\n",
       "VCqFbDaLTCYDx3HQ6/VQqVSQz+dlba7rYnh4GEuWLMHw8DBc10W320U+n0ej0RCnlJ+HMTdMEBqG\\\n",
       "sVAwQWgYxpzo9Xo455xz8PKXv1xKP2didHQUIyMjfc+NjIxgdHRUXudzsx0zE5deeikuuuiivucu\\\n",
       "vPDCLbqHHRF/358/4IX9YQD6ShUB9M2rm0lwMYlzw4YNGB8fR7PZlJ4+lmLqXkQdylKv18U945xB\\\n",
       "vyCkYGs0GiKGKJIolOhkttttVCoVFAoF1Go1AEAymUQqlUIikZCkUB0Ow7ESnudJiirPTWcV2Pi7\\\n",
       "yzXX63VJ9aTo85e+spSVQo5lo/F4HK7ryvxACsJ6vQ7XdVEulyWUJhAISHpqLBZDp9NBtVoVQc+S\\\n",
       "We5zOBxGt9uVNQYCASSTSQwNDWHx4sUYHByE4zjymcXjcdRqNYTDYWSzWSxevFjcwWg0KvudTqfh\\\n",
       "uq6c0wTh3DFBaBjGQsEEoWEYc+Kss87Cgw8+iF/+8pfb5frnnXden/NYKpVwzTXXbJe1PJ/QTfL3\\\n",
       "3/kHnzNJciZXjeKvWq2iWCyiWq2Ks1UqlTA2NoapqSm0Wi0ZZJ7JZETM6CATpmKyZJGCxh9AoxM0\\\n",
       "y+WyOHR0vXg/DGapVqsYHx/H+vXrUSqVEAqFxInW96PFYD6fR7lchud5IhzD4TBisRgSiUSfm1mr\\\n",
       "1RAKhUR8xeNxEavNZlNCZVzXxeDgIAYGBkTw1Wo16U/ksPdEIgHHceQ9qVQKpVJJwmUoUikcKUIB\\\n",
       "SDpqPB5HMplEPB5HMBhEq9VCsVgUoZrL5bBkyRIsX74c2WxW9oolva1WSz6rgYEBGdnB69DRTKVS\\\n",
       "aDQaCIVC4ogac8OEnmEYCwEThIZhPCPve9/78MMf/hB33nknli9fvtljFy9ejA0bNvQ9t2HDBixe\\\n",
       "vFhe53M6MGXDhg3Yb7/9Zj1vLBZDLBbbyjvYsdFiUPeWMTgEgPTC6fAQHf7SarVQrValPJQlk+Vy\\\n",
       "GYVCQYJUGL7Cckp9Ll2mSleSLqK/PJVijCWpU1NT0p/HZE0KSQrTDRs24G9/+xtKpZKMkkgmk3Bd\\\n",
       "V4QOxW2lUsHU1BQKhUJfiE0ymZQ1MY01Ho/DcRx0Oh0kk0nEYjGEQiFx7arVKprNprhtIyMjGB4e\\\n",
       "RiKREEHbaDQQiUSQyWTkGlw/+wrL5bKEuPR6PQl5oesaCoXkd5jikqIbAKrVat/nnMvlMDQ0hMHB\\\n",
       "QaRSKQkR4r1RkDP1lAKV5bbseXRdVwShOYRzxxxCwzAWCiYIDcOYFc/z8P73vx/f//738bOf/Qwr\\\n",
       "Vqx4xvesWrUKt912G8455xx57tZbb8WqVasAACtWrMDixYtx2223iQAslUq45557cOaZZ26L29hp\\\n",
       "0GEj/MIPbOzLY0+fHkXhD5LRjh17Bmu1mpR/su+Npab+fkD2tzG0Rff1+fsNtSuZz+cxNjaGRqMh\\\n",
       "Ll46nRZXjj14FI6VSkXcLZZ48t5Z/kkhy8HziURCBDJTV/X4DLqCemyF53mo1+sijkOhENLpNIaG\\\n",
       "hpDL5eA4DhqNBtLpNOr1OgCIwNT9f/F4XEJdKCy73a4IxWQyiV6vB8dxxMV1XRfpdFrcQbqGLK/1\\\n",
       "PE/W6zgOYrGY7Gs8HpekVa6Bn7lOeo1Go4jH40gkEn2OqWEYhmFoTBAahjErZ511Fq6//nrcdNNN\\\n",
       "SKVS0uOXyWQQj8cBACeddBKWLVuGSy+9FABw9tln44gjjsAXvvAFHHPMMfje976H3/72t/jqV78K\\\n",
       "YOO/pJ9zzjm45JJLsMcee8jYiaVLl+K4447bLvc53/G7DxQBdMIo4jgHj8mXWqTxeKZ08jUGk8Tj\\\n",
       "ccRiMSmXdF1XHDA9YkLPtaOQmWmcAQVorVZDsViUhM9er4d6vS4uGoUme/wobLX41OJWn5NOJ3vr\\\n",
       "+D4KJb6fw9hjsRhSqZQ4bsFgUBxP9vXpMk+W31JwsgeS/ZK8TiQSgeu6GBoaQiAQQCqVkhJT7ivd\\\n",
       "Ts/zEIvF5Bp0Qum6sreS+8DSXjqDLCfV+6PfyzRSPTeRZbI6zdV4ZswhNAxjoWCC0DCMWfnKV74C\\\n",
       "ADjyyCP7nr/uuutwyimnAACeeOKJvpK9ww47DNdffz3OP/98fPSjH8Uee+yBtWvX9gXRnHvuuahW\\\n",
       "qzjjjDNQKBRw+OGH45ZbbrEZhDPgn+lHGIqiXTkKBx00EwgEJPQlmUwil8vJuAJdFhoMBhGPx5HL\\\n",
       "5bBo0SKk0+k+QajDXBqNBiqViqwvEolI8AwFCx3Cer0uox86nY4ErFC80fXiWnXyqH9UA4NxyuWy\\\n",
       "lIs2Gg0A6Bv7wHtqNBoyUoPXZv8d5xnyvLwGg14o+hiCQ0eOjiPvEYC4hLz/bDYr4lGnovL9sVhM\\\n",
       "hCL7+hhCQ9eXZbSTk5NwHAee5yGRSPTNIWSITafTkXTVbDaLZDLZF8LDtZpDuGWYIDQMY6FggtAw\\\n",
       "jFmZy8yyn/3sZ9OeO/7443H88cfP+p5AIICLL74YF1988bNZ3oJgtjmC/gHvFB4s06RQpMNFlwvY\\\n",
       "2PeXTCalFFMnXrIfjSmb+osuexErlQomJydlbAUFHkNNQqEQms2mzL+jI0jhpV05iiKWiCaTSQCb\\\n",
       "gmR0XyLDZEqlEgqFgswRpDvK0SSNRgPdbhelUkmCZ+jQMY2UrioAEWUUbHrMht5j/ZnoXj/twLKX\\\n",
       "j8IWgNw3j+e19TxGJqRGo1GZa0ixSwcxm81K7yD7QQuFAprNJiKRiAT9MBFVz4vUIzp2BvFy6KGH\\\n",
       "YvXq1X3P6c/subhHE4SGYSwUTBAahmHsAPgDY/icFhV0rihuWq1W35w9ChUKQt2TqEsMdaonoeNX\\\n",
       "q9VQKBQwOTmJRqMBx3FQr9dRq9WQy+Wk1LTVaqFQKEggix51weN1T2EqlcLw8DA6nQ4qlQqCwSDS\\\n",
       "6bS8DkDeyzmCerZeq9US55I/FwoFTE1NoV6vSygRRRcFNIUm3UUd/BIIBPrKVXV/3kwjNuhOUvRx\\\n",
       "rAaFGV1CupcsAaXDyr1nKSv3jfs+ODiIZDIpwT/5fB6FQgH1el3KTPmPALw3XVqqy2d3RvxC/rk4\\\n",
       "nwlCwzAWAiYIDcMw5jH6S65ODWUvGMUchR5HHHie1yd8KGJisZi4gTy/Fjj6odNFm82mjK1gmEu9\\\n",
       "Xkc4HJbXCoUC0uk0HMdBt9vtO46liuwVrFar0vMYi8WQTqexePFiRCIRKUdNJBISAEORpHsK6bJR\\\n",
       "MLLMslwuS59hrVZDMBgU15OBLHr+IYNlWHrJ/aaY04KQrp8esUHHkyI1GAwikUj0ubfhcFhmODYa\\\n",
       "jb7RFCzx1Mdzr+ik1mo1lMtlOZapsQzECQaDImjp0vKas/V57iz4U3ifq/s0QWgYxkLBBKFhGMY8\\\n",
       "xy8KdS+YFkQsWWS/G10xXXpJIUNBNFNgDa/DUlCKncnJSUxOTorQohDRgjGfz0siJkUiS0ZZ0sp+\\\n",
       "Pz2snsI1Ho+j0Wig1+tJ3yNTPTudTl8vJIUdS0FDoZAITYpCADL6gSMe6KDx3kqlEkqlErrdrjiS\\\n",
       "dFy1oNLjPijCKZgbjYaUsQYCAWQymb5SXADiFHJf2u02HMdBLpdDKpWa1qPIz5k9g41GA/F4HJFI\\\n",
       "RNxWimoey35G/z8OcO07q3Dxi8LnAhOEhmEsFEwQGoZh7CD45/zRJeSYBZaFMlBEly0Cc+sJ5fko\\\n",
       "Nmq1mjiDY2NjmJyclCATnpPJn/yTYS10sRheQwHnH22hnTGGzmgBRkHb6/WQSqWwaNEiRKNRNBqN\\\n",
       "aSWSDJGpVqsyxN11XWQyGRGEFHJ03igIeT323DERlaMgAMhsQZbYakFYLBYxNTUle6ITPnXZK/v/\\\n",
       "WMrK+6XQ85fs8vwU3nyNIpCilWt0HEd6DSm46bLurC4h0C8KDcMwjLljgtAwDGMHwB9iAqCvJ02L\\\n",
       "Qj1qQoeXAP39brp/0O8M6vCWYrHYN+aBMwj9biOFDefo6Z66SCQiw9iz2SwymYyMXeC5KF4pjAD0\\\n",
       "OWZM0mSSJ90vnbBKUcjxGplMBoODg8hmsxKUw/JTCtZqtYpWqyVuKks2KQiLxSLK5TIAiBhkEqlO\\\n",
       "XqVw5n1zDiCDc7R4rFQqKJVKMrOQ56azS5fPP3KDYp2fl+5d5OfHXknuWSgUQiqVguu6cm87I8+1\\\n",
       "GDSH0DCMhYIJQsMwjB0ILeKATQJuNlFIwaQFRKvVQq1WE6Gmy0opOBhaMjExgUKh0De+gX1qXI/+\\\n",
       "MqzLUnluul6u62JwcBAjIyMYGRlBJpMRwaLfP9OXaz1mg0LJP8eQDhkAccT03EH/XEWGrXB9HOJO\\\n",
       "V4+v09FjianjOHIcAHFTq9UqyuUyms2m9Ea6rislrzoAp9lsolariUjUopeD7qvVqnwevFeunZ+V\\\n",
       "ThHla4VCQVzTTCbT16fINe9s+P/Rw1JGDcMw5o4JQsMwjHmMntMH9M/qo+tEoaBdopnCYYCNLlO1\\\n",
       "WsXk5CQ8z0MymRS3juejQ1gulyXRs9lsSlCNdvD8a9Nz/CjgWAqaTqeRy+WQy+WQTqfFBdPupP+h\\\n",
       "5yDqkQ26bJblqDxXLBaTkQ0cNM/XWGbLc3IcRyCwcaB8IpGQslLuqy597fV6cF1X5hgGAgEJyalU\\\n",
       "KhIsw4CaVColYpRrpTtJ4cj1cz9c18XAwID0UrL8VafCcr/5uXOt7XYblUqlryQ3FArJSI+dcdan\\\n",
       "Xww+l+c1QWgYxkLABKFhGMY8Rrte+guqno03U4KkFlX6Zw52f/rpp9HtdjEwMCAjD3RZI0ULR1eE\\\n",
       "w2FxEnlNPVyezl08HkcymUQikZB+Rr43kUhI0qd/9IN/zTM9p/eBf+rRGHRHOfZCz1hkqabu56Nr\\\n",
       "STeN96eFpk52bTabAIDJyUnEYjHp+yuXy6hUKqjVajJ3kSWjU1NTyOVyEnqjRSH3uNvtIhaLyeiO\\\n",
       "RCKBwcFBtNttcX+1GKTYo0hk6Sz3Swt6uoMAZNbhzspz3R9pgtAwjIWCCULDMIx5TKVS6Rt74Hfe\\\n",
       "tJM103xCYJMbxvLDUqmE9evXS0kkEzj1KAotPphsyX44YKNQZeAK+9Zc10U6nUYmk0EymZRET4ow\\\n",
       "vXbdB0n0fegv97P9rB9cL8UdU0kpBNkzGYvFZG3s7XMcR8ZZcLg7hRtn+1HANptNTE1NAYCkfrJc\\\n",
       "lCMiKND0mA4G2rC8k3vPYym+OYoiEolIiSrX1m635XOIRqPiBgIQB9ff08n3ApCe0p2RbRGWY4LQ\\\n",
       "MIyFws75XwbDMIydhGKxKOIkGAyK00bRMFO5JfGLQp0ems/n0Wq1EA6HUalU0Gq1pHSSJZ7JZFJE\\\n",
       "leM4SKVScBwHnuehUqmgWCyK+HBdV8pBeRxdR39oDQWKRs88pDPHElF/2etsTqL+E4AIvHK5jGq1\\\n",
       "KmWh/t5JYKOgYoksRa4O53FdV/oJy+WylJEmk0kRf7pkl+E61WoVpVIJ1WoVwKZgGN37FwgE5O8A\\\n",
       "RPQx1IajNAKBABzHQSaTkdcputnfqT+/eDwun4N+7AxJo3fddRduvfVW+dkEmWEYxtZjgtAwDGMe\\\n",
       "wy/6LA/kOAFdOugXfn5h6H+NgoQOFHvZOKKAfXXZbFZcQ5aCRqNRdDodCV1hwAn7A5nmqZ1AXYbK\\\n",
       "gBTtcHJtOnCFATl08ih+/cmquldSB62wbJLBOBSvg4ODUkYZj8dlP6rVKkZHRzE+Pi7izXEcDA4O\\\n",
       "9qWTep6HfD4vsxjpntLp4/7pMlOKSM5hnMnR5V5RBPNzTqfTSCaTKJfL0sPJvk/OYHRdV2Y96n3j\\\n",
       "cdlsVj47jiQxnhlzCA3DWCiYIDQMw5jH8Ism582xPJNf/gH09dFtThDSPaLbRyeKKZ/alUskEgA2\\\n",
       "CkGWWsbjcYTDYRnxwPAWDkPX/YH6C7LfqWPvneM4UrbZ7Xal761SqaDdbiMcDsN1XbiuKyKTe8FS\\\n",
       "SJaJUrDRbWOSaqFQwNjYmCRvhsNhDA8P96VyNptNmbO4fv16SWBlCSzn+rE3kffBfkEKrVAoJOuk\\\n",
       "W8f7qlQqiEQiaLfbADaVb1JERqPRvpmFdDB5XYpn9ntS0GazWRHR/J1giWs8HofruhJs4zjOTlsy\\\n",
       "ui0wQWgYxkLB/stgGIYxj0kkEiIiWq1WX7KonlHnH/0wU8gMS04zmQyWLVuGRqOBVCqFdDrdV35K\\\n",
       "saLLUjmyIBgMotvt9pWC8qFHXvD6vV4PjUYDhUIBo6OjyOfz6HQ6SCQSSKfTEurS6XRQKpUwMTGB\\\n",
       "fD4vATDpdBoDAwMyPoEuG13NcDgsLhmFFN1I3cNXKpVkLiHdVjqXLBctFosolUqo1+t94pLJn6FQ\\\n",
       "CKVSCY7joFQqiTDudDoSpJNMJvvGYAQCAXEJmV6qR1xQWFP4UnQzRVaX2+q+Tr6Hnw/vhfseCoUQ\\\n",
       "jUbFYaXLujPPIXyuMUFoGMZCwQShYRjGPIZ9fJFIREJHIpGIpHzqIfGamb6gspQwm81it912Q7vd\\\n",
       "FrHD0lCdWKrFHjC9d08PRdeJpCwJZRlorVbD5OQknn76aYyPj6PVaiEej8v4CQakFItFjI+Po1Ao\\\n",
       "oNFoIBgMwnVd5PN55HI5JJNJGSrPoJhoNIpsNit9jolEQkJa6MyxBw/Y5LRynVx7o9FAo9EQkRcM\\\n",
       "BuV+KOJ0zx6FFXv/uNZ0Oo1gMIharYZisSjrrNfrct9MEQ2HwyIIBwcH5R7psHJ/O52OfH7aSWRq\\\n",
       "KNejP3M9mmQmcWk8MyYIDcNYKJggNAzDmMfwyz9dND2QvdlsihjUDt9M8DWKDY5i0LP+6Gjx/LpH\\\n",
       "UM8CpEPXbDZRr9dFpOoh7HTq6vU6isUiJiYmMDY2homJCbRaLUSjUVQqlT6HkEE1DLkJBAKo1Wri\\\n",
       "9OlyzGazKeMa6vU6gI3BNgBkJIMupWQJKtdcr9cRj8flXBSDesyDFrxaKHPPKQq5/6lUCsPDw4hG\\\n",
       "o6hWqwgGg8jn833nYWorw2G63S4ikQgymYwIQn423GeW2PIaiURC3Fo6syyZ9bu2+mdjyzBBaBjG\\\n",
       "QsEEoWEYxjyG7g4dIYqEVqs1LVxmJpfQP5oBgPSk6Vl4nJ03U1on5+dRFNVqNZRKpb6eQCZgUsyw\\\n",
       "X65UKokQLJfLEn5CQVkul6WHUAsznb7Z6XTQaDRk3XoGIvckFApJEmc8HpdSTi2gmfrJ0lC6frVa\\\n",
       "TZw8fwmuTj7V7iL3heW07Pnj8PdQKCTnZakv+zdd15XSW/YQMj02Fov19UGyLDaVSom7S1cVgAhH\\\n",
       "APKPAlqczBS8YxiGYRgaE4SGYRjzGIaA6D4yPZBcO1r+kRM6cZPCgCKGAkmHvehh7hShFDutVgsA\\\n",
       "JFRlcnIS+Xy+b04ixWClUkEwGESz2UShUMD4+DgmJydlnAMAcQ8p4vQoBq4VgKyT8wQperXIAzaK\\\n",
       "3GaziVAohHQ6Pe08nudJX+Hk5KSMn6ALSYHNPWJ5JkWWdhJ1eAv3iL2dvC7XxJmHLBVlWSsdPu02\\\n",
       "UtRrEcqRFwyHcV0XjuP0leRq0e8f9aH7SU0QbhnmEBqGsVAwQWgYhjGP8Zf8UajRKZutL4wuGkUM\\\n",
       "+9A4DoK9faVSCYVCAZVKZdq4B6ZrclQBBWSpVEKpVJKRGKFQCK1WC5VKBd1uF/l8Hu12G7VaDZVK\\\n",
       "BZVKRZxBClI9h88vaGcqc6QA9NNut2W8BAUh10TnTCe11mo15PN5mbnIpFTP86T0Uo9tSCQSfQ4m\\\n",
       "S1UZ0EN3j/2ATEjlfvP9FHQ8lo7vTL19+rPiyAv2etJBpLNLx1IPpfenzs70DwbG3NhWQq9SqWDZ\\\n",
       "smUolUryXDabxfj4uCXBGobxvGP/r2MYhjGP8Zf6UbTEYjGZSzfTLEI6auVyGeVyuU/0MDCF8/Eo\\\n",
       "7uiSURAlEgnp26O7xiHrOuCGfY48rx7yTtGo105BSFFDx1M7ZnqOoQ7QobjR+0Khx4Adhs2wtFaX\\\n",
       "wXJtk5OTCIVCkgoaDAZl9h/nPWYyGSSTSSktpcCkKKOLSIHX7XZRKpVk3RR0fjFIN5S9gXrsB++N\\\n",
       "5aWEAp1Cl3vB8RZAv5usU1J1KquJwrmzLR3CXXfdFaVSCa985Svxlre8BV//+tdx//33Y9ddd8VT\\\n",
       "Tz21Ncs1DMPYakwQGoZhzGMoEvgF3x8gQzHid9OazSYqlQqmpqaQz+dRq9WkL4+jEBqNBmq1Gur1\\\n",
       "ep9goHNGERYOh9FoNPrGMgAQMRiPx5HJZBCPx/uGxlMcauHIsQoUZwx4obCh46bnGdJtrNVqffMH\\\n",
       "WWapS2CLxaIkd3L+oX/MBO+F4orlnrwe+xCz2aw4idwbx3EwMDAgApLuKcVno9GQHkqG7GSzWaRS\\\n",
       "KRGrFHO6/1N/fhTO3GN+5tw3fo78O98DbJo1yXtiWA/FOY83npltKQjz+TwikQh+/vOfAwDOOuss\\\n",
       "hEIhbNiwYYvXaRiG8WwxQWgYhjGPYdqmTpDkF34AfX8HNpWK1ut1lEol5PN5TE1NoVKp9PWb6UAZ\\\n",
       "fwAL+9Oi0Wifo0SXTIeYcEj6wMAA0um0iCbtqOl5gUzJDIVCaDabEk5DB9NxHJmNyDETtVoNU1NT\\\n",
       "CAQCqFQqfcKRa2RfH8UtxRPvkeWmFI48D91EfqGncE2n08hms+LSUYSmUikMDg5KPyDLZcvlMqam\\\n",
       "pvrmDwaDQcTjcSk91fMjmTjK9WvxwftjYA3FL9frHwVC9O8JxSf7ONevX49CoSA9l8YzszWC8KGH\\\n",
       "Hup7fsmSJVi+fPm043O5HKampvCpT30KH/vYx3DOOeeg1+th5cqVz37hhmEYW4gJQsMwjHlMrVaT\\\n",
       "L/rsH9Sporr/jGKPqZyVSkVKRqvVqrhrfmFCQUjBqHvpWPJIIcFz0KWKRCJIJBLIZrPI5XIIBoNS\\\n",
       "ZhqJRMSdDAQCcF0XAwMDyGaziMViMnuQgrXX68l8wsHBQaTTaQBAqVSS3kAKVwrHRCKBXq8norJa\\\n",
       "raLZbMr+6R46vVftdhvlcllmMdKBcxxHhr6zzFM7eslkEplMBul0WkpHG42GCNxqtSpCgqW9nF2o\\\n",
       "ez51aquGzp9/IL3+uz+EBsC053iNZrOJfD6P9evXY3x8XOYxGs/M1gjCU089te/5TCaDQqEw7fin\\\n",
       "nnoKQ0NDOP/883H++ecDAAYGBvDggw8+u0UbhmFsBSYIDcMw5jEMnWB5IcspY7GYuEY6SVKLPS04\\\n",
       "tCtIwaGP73Q68hoAKZukOPM8Txw7OnUUIFwT++3Y1xiLxZBKpVAqldDtdhGPxzE4OIihoSFxzCqV\\\n",
       "CnK5nBzjOA6y2SwGBgbkGMdxRGxxjalUCkNDQ3BdF+12G5FIREQhyzZ5H7rkkn12FGS1Wg3NZhOR\\\n",
       "SETGZoRCIbkfv0tKkcdZgnRs2+22uIYUmVoMsseQQpkJolro8fPwixD9GWtByPMAm+ZVapHI2ZLV\\\n",
       "ahWFQgFTU1MmCLcx1113XZ/Lt2TJkhmPO+SQQ1CtVrHvvvvi1a9+NW6++WY8/PDDePGLX4xHHnnk\\\n",
       "+VquYRgGABOEhmEY85qpqSn5O904unP+2YMUDgwzyeVyACBCgeIPgIw+6PV64iYyWCYYDErZ5MjI\\\n",
       "CBYvXoxIJIJFixYhlUohHo/j6aefFidOj1+gAKKwo0tJ0cVSzEQigWAwiHa7jSVLlkgSKl069uex\\\n",
       "VJNCj2Ezw8PDWLJkCVKpFBqNBhKJRF/JJoUSyzZ5Xdd1ZWYhg284KxCAlIiy39FxHDkXUz1JOp0W\\\n",
       "Ecmy2V6vB9d1EY1GMTAwIH+nkGaZKcUhBepMYS8Ugf6EUIpt9nryd4OhNX7HmDMNmZJqzI2tcQhX\\\n",
       "rlyJgw466BmP/8Mf/oDly5fj97//PQDg85//PAYGBvDoo49u/YINwzC2EhOEhmEY8xj24QGQIeY6\\\n",
       "bdMP3TCGoVCosS+QApJiJRAIoF6vo1gsolAooFarySw/lmSyjJKzBavVKiqVCorFIgD0zd7Tc/X0\\\n",
       "wPZmsynlpBR7dD0jkYgE0lDoUvgBkBLOTCYj9zQ4OCj3wIAcAJicnESpVBKBR5dy0aJFWLx4MQYH\\\n",
       "ByUkZ2JiAmNjY8jn8zIP0R9Wo8c4MDRGD7JnnyHHQgCQHkbODNROIAUb71W7ef6k2JnEIP9OUcjw\\\n",
       "Ge6ZPofeS7qVM43uMGZmW88h1P+Ys7XnMAzDeC4wQWgYhjGP8X/B939p1CWhPIZigeImGAzKgHqe\\\n",
       "Y9GiRRgYGEAkEkGz2USxWMTk5CTK5TKAjaEXuVxO+gF1CWg2m0U6nRYRxh5EfziKFocsr6RI1LMG\\\n",
       "9WB3/31qxzObzcpaOBKCc/qy2SwA9N0DALiui+HhYSxbtgzLli2Te240GlISGolEUCqVpCyWCaf+\\\n",
       "eX7sx+N4Ce3URqNR2Ss+z3PzPFoA6uf058e/6xmNFI/6oYWqfk6XlnLvksmkfF50FI1nZlsKwnA4\\\n",
       "jCeeeAJHHHEE3vKWt+Bb3/oWpqamkEwmt2aphmEYzwoThIZhGPMYOkD8cq9FBoWDP2kS2NRzyNJH\\\n",
       "Cp1Go4FgMIhsNouhoSEpiWRQSqVSged5cF0Xg4ODiMfjkmLKYewMXCkWiyJc6FryOP96WBqp3TfN\\\n",
       "bMKI7+F1KXwo2OiIuq4Lz/OwaNEiNJtNcUgzmQxGRkawdOlSDA8Pw3VdKUvlOvU8Qpbash9Si1T2\\\n",
       "HNIhZegOy2/Zx8d94FpnC47R96jvn0E/fPidU+6h7iElfgcwGo3KHlAIG3NjWwrCe+65By9/+ctx\\\n",
       "55134s477wQApFIpKxk1DGO7YILQMAxjHsNeMQoflluy948BMn7B4HeKgE0BMgCkjJCOBIUjxz/w\\\n",
       "NTqNRA+tdxxHBMZsJazaudJ/J/7EUwB9x+hB9Cwv1XMO9ciNSCQifZPsN0yn0xgYGBCRF41G5ViG\\\n",
       "5gSDQbiui16vJwPp2fvHMltemwEyvV4PlUqlL+iGApUhPVy7Hg2iU091majuF6QgrNfr0g+p18B7\\\n",
       "4GfOffcnl7LEOJPJwPM8pNPpvhJkY/NsS0H4spe9TOZ5GoZhbG9MEBqGYcxj2BemkzIDgYAIKAoG\\\n",
       "PeaAwoXocRQcxK572Phe3WNI4eEXcHyPHn+xObdPix8/fgGkBSGdNYorPSeR900xGggEZB9YIsmy\\\n",
       "T840pJDW7hz7HOPxuKyHCaJ0Ybm3WpD5g1tmui8t1PW+zdQXOFPvIF1X7ou/7FSPHOE96RJTfSxn\\\n",
       "RXI2oWEYhmFoTBAahmHMY+LxuDhB7L/jAHYOdafI4+D3VCol6ZfAppETnNPH1M6Z5g4yZVOHq/jR\\\n",
       "fXNMBp2pt5GChr2LOqiFoonrYtKndtr0OVqtFur1uqw7FAqhVCr1jZHg2ljG6bqujOjQZbYURSyB\\\n",
       "ZfqnX1TzeF2yms1mReyxVFSLNS1Y2+22OIbaAdRr9Y+d4L1QJDebTRGWWhTrfeZ1tXAGNpXn6tCb\\\n",
       "mQSsMTPbOlTGMAxjvmCC0DAMYx5DwaLLJRuNBiYnJzE6OopCoYBWqyUjHQYHB2UAur/HrNPpyNgB\\\n",
       "liNSrITD4b4yRn+pKYVUq9Wa5kpq10y7eo1GA/V6XYRRPB7vE3sUeeVyGZVKBfV6vc8No7CiuKK4\\\n",
       "1IKK4gnY1As4ODgo4zGSyWTf2vQsP7p+AMQ99Duf3EcKqk6nI5+D67oSJOMv+eRe6dJdLdD94Tv6\\\n",
       "/dxDPihgtQPI63DdFNfcK8/zpAw4FotJmakJwrljgtAwjIWCCULDMIx5jB7PwNLISqWCyclJTExM\\\n",
       "oFgsot1uyyiFXq+HcDgsQoAChyWgFDO6nFOXHRL9M0VJvV5HpVJBqVRCrVaTEk2GqWihxzl/dDAp\\\n",
       "SHhct9tFrVZDsVhEPp9HsVhEvV4X11LPzqNwnWk0A4UXncVUKgXP85BIJOTvGn9SJ3vw/EJYl4n2\\\n",
       "ej1JEQU2zirs9XpSXqqFqRZzOvCHx8yUEMp70aWmutTW/7wO8uHvB3sq6/U66vU6PM+TtUWjUUmb\\\n",
       "NUE4d0wQGoaxUDBBaBiGMY/RvWLdblfKPqvVap8QAiBBJI1Goy/ohHMJs9ksms0mOp0O4vG4iDO/\\\n",
       "IwhML0XkrMJ8Po98Po9SqYROpyMzCulUdbtdNJtNlEolTE5OolgsiptGARUMBtFqtVAulzE1NSWj\\\n",
       "Irhulks2Gg1Zrw530aE5us+OZZXsC2QvIF1CPc5BizUtlLQY1P2U/sTTXq8nIT4UY3QutZOnhR3X\\\n",
       "ToGuHUV/eax2Qvl5aPeVx7HUl78b5XIZ1WoVnuchlUohGo1KcJCJli3DBKFhGAsFE4SGYRjzGAoK\\\n",
       "lntWq1UZop5IJGSuHN0n7QbxQVEwNDQk4iGXy/WNXvCjHcJOp4NarYZ8Po/x8XEUi0U0m82+oefR\\\n",
       "aFQEGY+l0KMTx/42lpOWy2UUCgUUi0VJ62QfHN1B9tABkDAcup7axaNgarfbKJVKGB8fl2AZ9tHx\\\n",
       "dQouXT7qT0H1u4i8P15PC0qmjlKo6jEcutxTC0EdBKP7BVkay3NoR0/3Cfp7PzkSo1AooFKpiJhP\\\n",
       "p9OyFr8LbGweE4SGYSwUTBAahmHMY6rVqggBlgT2ej0Z+0BBR+GRSCQkVZMOIJ9nmWOv15PgmZlS\\\n",
       "QonuCeS1OWqh1+vJWAomeAaDQbTbbSkFLRQKqNfrIsaATQmcOuSGItfvqgGb3Dv/3D5dRtvr9aQU\\\n",
       "lk7Z1NQUYrFYn1gNBAIyR5AJpSx55YOiD+gfecF9orDVAS46OMfvXGoxpoUkBV232+3bVzq7DITx\\\n",
       "B/CwJJTHsX/T8zxxcavVqowoYb8n3UYThIZhGIYfE4SGYRjzmPXr1/fNtWOQSzqdlhJECoZgMAjH\\\n",
       "cZBKpSTshOKG4xg4W49CaTaHkPjHHNAVpEOpRzwEAgERLRQ4nU5HZhnqMkwAfaMVtBtGIRQOh/sc\\\n",
       "M94Hk0ApaNm3SOex0+mgUqlgYmJCgmUoWOv1OgqFAsrlMjqdjrinyWQSruvK+ejccV912IwWaywV\\\n",
       "1eufaWwES161cxgIBNBoNFAsFjE5OYlCoSCJsSx5pcOphSMDeOiWcu/ZX9psNhGLxfpKT7WjacwN\\\n",
       "cwgNw1gomCA0DMOYx6xbt04cpVgshkwmI6MlKAS0WHIcB/F4XMQSsGlMBAD5c7YZgn74Xsdx4Lou\\\n",
       "ms2m9AumUilkMhkkEom+HkIdBqNLG+lm6ZEWFIh04ujU0fWiyKO44YiIVColQo/Jq0z1pCgqlUrI\\\n",
       "5/MYHByUQfPtdhvVahX5fB71el2EciaTEfFHl48lqzqtk+vXx83UL6iDZbgXAGQNsVgMnuehWq1i\\\n",
       "fHwco6OjyOfzaLVaCIfDfWKbfYoUhOy3pCBkD2ev15OyU4pIClP+jvAz3dE59NBDsXr1agD9rudz\\\n",
       "eW8mCA3DWCiYIDQMw5jHPPXUUwA2ColsNotsNitlodFotM/9oTiIxWLT5gdS2FGAaTHoT+/0v49C\\\n",
       "M5vNIhgMIp1OIxAIIB6PI51OixupQ1D4XrprTDjV7h9dykgkIkmpruuKw8nyTF3m6XkeHMdBJpOR\\\n",
       "0thut4tKpSKv6/7DWq0m4ywoHOi2lUolAJCAHrqvFHosZ6V40y7pbGJBX4c9i9VqFbVaTRxJjqsI\\\n",
       "BoOS2looFFAoFKQ3s1KpiEtIccwxHhwZwpLRbrcr40l0oI0W5p1OR0TszspzfW8mCA3DWCiYIDSM\\\n",
       "HZzHH38cv/jFL/DXv/4VtVoNw8PD2H///bFq1SoZMm7suFQqlb4RBbFYDMlkUlw5XVKpR0n44WgC\\\n",
       "/3B07XQR/5dbBtO4rivX5HMUdSy1pNCjmKGjp3saKU6j0aiklHa7XUSjUaTTaQwPDyOTySAajcp4\\\n",
       "CqZn8rhMJoNMJiOCMJlMolariZPG0Qt6P1juypJXBsxwNqPjOH2JpAxpiUQi8n6u259AqlNKWaZJ\\\n",
       "x47hOa1WSxxC9j1SuGoRC0DmLzYajb6yWD70CAs6gXr8he75rNVqcl+chbizMVNC7nN9XsMwjJ2V\\\n",
       "nfO/DIaxAPjOd76DK664Ar/97W8xMjKCpUuXIh6PY2pqCn/+85/hOA7e/va348Mf/jB23XXX7b1c\\\n",
       "Yyuh2OJcPTpydK3YL8egF5ZTcsyDDkihwGi1WlIGyvJMfvH1fwHWASgsTfS7Zdp1jMfjGBwclFmA\\\n",
       "HH9AManFKPv3XNcVsZvL5bBo0SIMDAzIP2hw3ZxTGAwGkUgkpMeOCZsUT+xJ7Ha7chxFKffI33sY\\\n",
       "jUZlbxjY0mg0kM/nxXnT90txS4HlH91BUVYulzE+Po6JiQnp7Ws2mxLKox08LV51nyFF30z9lLov\\\n",
       "U6eztlotBINBxONxJBIJKS9mKu3OhF8MPpfnNYfQMIyFgAlCw9gB2X///RGNRnHKKafgP/7jP7DL\\\n",
       "Lrv0vd5sNnH33Xfje9/7Hg488EBcddVVOP7447fTao1nQzKZFEGoS0GZOskh9fl8Hp1OB8lkUkQT\\\n",
       "e/eATaMjdAplOp1GKpUCgGn9hLMJQ2DTbER//x97AF3XlWHu3W5X+hopwnRAjj+kRc/p08PsOVuQ\\\n",
       "Thif48gFx3Gkr5HzFnu9HnK5nIhj9jCyTJX3yFmNPIalquxN5L3oEQ56hiDDY7QQ1WNC+OBMxVgs\\\n",
       "hkQiIW4i36PHYLDnkp8fALl3PnRCKkWjHlzPsth8Po94PA4AO3XVgIXmGIZhbB0mCA1jB+Qzn/mM\\\n",
       "BCrMRCwWw5FHHokjjzwSn/rUp7Bu3brnb3HGcwpHS+gRCxQbdKAmJycxMTGBdrsN13UlbZRlmnTC\\\n",
       "mLxZKBSkTJNCzD+HTzPTF20KIr+IpJOYTqf7rqHLSrW45LkoYimOWHLJ8+tEVb1OXRZKQZpKpcSF\\\n",
       "HBgYkH5Lik2WujqOIwKNQT100whFng62oeji7EDd10cx1mg0UCqVpNSVziNHX5TLZTkPexy5fxTD\\\n",
       "2pHlubUbyxJXij1g4z8G6d8TzoQMh8NoNBp997YzsS3EoDmEhmEsFEwQGsYOyObEoJ/BwUEMDg5u\\\n",
       "w9UY2xIdYKIHk2tnSpcJhsPhaSWIdLI4EoK9eP7jNhcso//k3/Xz+u8UNXocBoWnTrvU/Yy6JFLf\\\n",
       "I+fw6evo6/lTPhkMQ0eSAk/vo3bW2MPIuY48Vo/H0Nfg3/VcSJbssrePvYP1el3GYPC9vE+Wt/pH\\\n",
       "itAt1amsHHqvXVkeQ2HLABu+n/vFtVSrVenx3NnYVs6gCULDMBYKO99/GQxjgTI2NoaxsbFpSY/7\\\n",
       "7rvvdlqR8VygSznpDDKJkkICQJ9A0jP0tCBkL16tVgMAKWGcLYhG4xdjMzmK/hJMv5jjWrS7x3vi\\\n",
       "mliayRJQLW70uAo9rJ1BK7wXjoegU8kUVB1m47oucrmc9NgNDQ1hYGBAZhEy9IXjHCiuKKq73S5K\\\n",
       "pRKmpqaQz+dRLpclqZROJxNEm82mCGH2cjIAB4CMpKALSpHH/k6+l396nidOKEtiOYJCH0sB2W63\\\n",
       "USwWxZU05oYJQsMwFgomCA1jB+e+++7DySefjIcffnjal2+GYRg7LrpPT/eq0TXi6AfOzXMcR1wx\\\n",
       "7XJRTGk3jKJtJqdPj07gazMdO1sYDcWXFpta1PnDbuhaApBSV45T0MmkdM34u02RS9HFskwKPb0X\\\n",
       "FHYUhHQiE4kEstksUqmUlF+2220pyaSIBIBGoyGjJCYmJjA2NoapqSkReFqw1ut11Go1WZMuz/W7\\\n",
       "p9FoVMZIcHQI75XOHkuHOZOScyAzmYzcFwOAdBKs7jGk+DSeGROEhmEsFEwQGsYOzjvf+U7sueee\\\n",
       "uPbaazEyMmJfTHYyKEQoKHTZoxYJqVSqb5YfxwzQpYtEIkgmkxgYGJAetUwmI3Pu/HMJ/b1+/r49\\\n",
       "/+iKmV7zl376w2Mo6tiL12g00O12RfC1Wi0kk8lp/X8Usnq8AkNkKLLoUnIPCPfOcRxx1mYS0boX\\\n",
       "Uvc/MhxmamoKGzZswOTkJCqVCjqdjgTdUMzSgQU2uX90Ljk6hE6v7hGkM0kxxyHz8Xhc9igUCsk5\\\n",
       "6GqyHDQcDouLTHFJ17LRaDw/v7g7ASYIDcNYKJggNIwdnL/85S/4j//4D7zoRS/a3ksxtgGZTAbA\\\n",
       "RtFFd49f8tkDx0HtDCahkGCSJvvqGDiTSqWkvy4ej/c5hf6SU93Xxi+9LJ1st9sAIAKG5Z0UeRwo\\\n",
       "zzEXnE1IgcM+SJZ6djod1Ot1FAoFKXVk0AvvWc89ZH9co9GQNFCWU2ohS2ZK6GSpJUtCmfZJp42i\\\n",
       "jc9Vq1UUCgWMjY1hfHwclUpFyks53iIYDKLZbIozSNEejUYRj8clCTWVSknPZ61Wk7Eaen10c8Ph\\\n",
       "sJSrUhRyz+kE0gXlOfVnzD3hSI0dnbvuugu33norgG0nxkwQGoaxUDBBaBg7OEcddRR+//vfmyDc\\\n",
       "SVm8eDEAiKjj3D4KIwAibPyOnXbGmEqpRQ7dLIo93WvIgBSWM1LY6JCSWq0Gz/MQj8eRTCbFieI4\\\n",
       "jKmpKUxOTqJarSIUCiGbzSKbzcJxHLTbbUngZMKoLm2sVCrodruoVqtwXVdcT94nw1bYf1ir1UQQ\\\n",
       "c01kpnJWfT+8Z11iTeGkw3HosJXLZZRKJdTrdXieJ7MfM5mMrJFCkYKXgjibzWJ4eBjDw8PIZDLi\\\n",
       "5hWLRRQKhb79iEQiIvYTiQQASEIp957uIj9H13X7hG4ikej7bHYGMWgYhmE8t5ggNIwdnGuuuQYn\\\n",
       "n3wyHnzwQey99959c8sA4A1veMN2WpnxXKAFIcWZdskAyBf9zX3Z1wEtFA/+kRNa9FDs0GXUiZiN\\\n",
       "RgNTU1MoFArodDpwXReDg4PIZDKIRCJoNpsolUrYsGEDnn76aZRKJQSDQeRyOQwPD8N1XXS7XTlH\\\n",
       "u90W95PXoxhkH16r1RLXTt8vBWGpVBJHrtfrIZFIbDZAxR/C02w2xUEDNrmcAGTfdB8nyzZjsRgy\\\n",
       "mQwGBwcxMDCAeDyOTqeDqakpcS91v2cul8OiRYswMjKCdDotgpBiOBgMirils0jByd7HWCyGQqEg\\\n",
       "/YnVahUAJIiGITq6H1H3YhpzwxxCwzAWCiYIDWMH5+6778avfvUr/PjHP572moXK7PgsWrRI/q6d\\\n",
       "LaLn8PnHM/iP0WWgM41w4Ey8QqGAcrkMANKfRtep1WqhWCzi6aefxt/+9jfU63Wk02nssssuWLZs\\\n",
       "GVzXRb1ex9jYGJ544gk8+eSTKJfLCAaDksjJ3j06hACQSqUwNDSEdDqNXq+HQqGA8fFxOcYfksIy\\\n",
       "TrqJExMTfaIumUwim832jaPQ4ym0eOZ9sVyTe6ZnHuqxHLoUM51OY2RkBENDQ0ilUohEImg0GggG\\\n",
       "g6hUKiiXy/A8D67rYnh4GMuXL8fSpUsl4ZSOqp6NSLGnS1iZKqpLaCcmJmTWYaPR6CtFdV1XHGEt\\\n",
       "/I25Y4LQMIyFgglCw9jBef/7348TTzwRF1xwAUZGRrb3coznGL/jS3QKqBYOOsnTP6uPAS/+cQ66\\\n",
       "f44lkYVCQcSELtWkm1apVJDP51GpVNBsNpFIJJDJZBAMBlGv11EqlVAsFlGtVmXmXq1WQyQSkbUy\\\n",
       "oIWlq8lkErlcTtbPERn+mX68Ty3WmDba6/VkSDzvl9fTvY/8hxKWjQKYJhS1+OY19diKaDQqjp8W\\\n",
       "eDrwhW4dXcTBwUEZq8HPiP2HvDadwUajgUAgIGWn7A8FILMMmbBar9dFqDKV1B8WZGwZJggNw1go\\\n",
       "mCA0jB2cyclJfPCDHzQxuEDQ6Z+6R43BLEyb5Lw/AFLmyZEJumRUw1AX9rOxh42CitenGOGQ+0Ag\\\n",
       "gEqlgnq9DsdxpIyTwozlj9qRpLjka0wHZVCO53nSL0dh12q1pLdPJ4myzBRAnwvIsk/ug+6PZPon\\\n",
       "z0O3cbZkVQAS9JJMJiWZdGBgQOYX6nW4rotsNitJowMDAxgZGUE2m+2bi8jr+NNkI5GIzA3UJavs\\\n",
       "BeVnVavV5LPQvZ9aNBObQbhlmCA0DGOhYILQMHZw3vjGN+KOO+7A7rvvvr2XYmwDKE78QocJnXTG\\\n",
       "2GPHsQaxWKwvibNarcrwdN2vRkeL/XF090qlEhzHEYGh1+MfKaGFFIWVFqnaBWPJY6vVQrPZFMGk\\\n",
       "xQwTUbPZLIrFYt+MQZ6TYjAWi0m6p3b9dOAKBRLdQS0GKcz8/YFA/6gPLcoo/Di/kOWZHPsAbCqB\\\n",
       "5Vqy2WyfcPT3fVIMU4RQ2LOclO/hg2Mz6JxyT2aaE8nPTAcPGc+MCULDMBYKJggNYwdnzz33xHnn\\\n",
       "nYdf/vKX2GeffaaVGH7gAx/YTiszngtqtRoAiPCiqOHsPo52aDQa0mtGB4vlmbVaDYVCAYVCAa1W\\\n",
       "q2/UBAWPHvvAMBeKFj1nEECfkGEJpeM4iMVi0wJrKLp0wmYikRBHi8EodLkY5MJ0zVwuh2q1Kn2E\\\n",
       "dBwpMgFIkibFjh5/0Ww25T0UexR1dPwoiClOeR4Gs/B8nA3IQBkOrudea8eVfZIsBU0mkxIMo3tA\\\n",
       "NTpEhvvebrflWhSvFI/JZFJcU36OHDHB+Yv6s9XOqGEYhmEQE4SGsYNzzTXXwHVd/PznP8fPf/7z\\\n",
       "vtcCgYAJwh2c0dFRABDXjaKIA9np/FEQ6qHnkUgEnU5HZucx0ZMCiuKNYoqOnU70pLjw96JRsDDV\\\n",
       "0nVdmZnXbrdFIFK0JZNJDA4OYmRkBMlkUkpM6QA2Gg0RthRS6XQaAwMDKJfLaLfbskbdTxcMBmW+\\\n",
       "IR1L7XjSIaQg5DgGlppSxHJ/GTDDWYC8B+206Xv3748WqoFAQMQdr8XzaCdPl+PyObqF7DXkdXSw\\\n",
       "TSwWQyqVQq/Xk+skk0nE43ERhMCmuZEsGzbmhjmEhmEsFEwQGsYOzuOPP77Nr/Ev//Iv+PznP4/R\\\n",
       "0VH83d/9Hb785S/j4IMPnvX4G2+8ERdccAHWrVuHPfbYA5/97Gfx2te+Vl73PA8XXnghvva1r6FQ\\\n",
       "KODlL385vvKVr2CPPfbY4rXNNm6BX9D+v//v/8Ovf/3rLT7vfOHiiy8GgL6yP4qX2RxCJmCGw2F0\\\n",
       "Oh0Zy1CpVKSfcMOGDX1zAz3PQ7lclnETdPXoOPlDaiiYOOg+nU7LdbvdrswNpFBxXRe5XA6Dg4NI\\\n",
       "JpOIRqMolUoy3J1uYa1Wk7l9DJkplUrSK0d3lKJMizu6fronkCKQJawAJHCFjh8HuTNltVwui3vI\\\n",
       "Pko9nB5AX7ntTHMO6fRxXqIu39QJpkT3hWrBqctH9bxI3kc8HpfyVWDjTErtAPN8+vfFmBs7gyBs\\\n",
       "NBrYZ5998Nhjj23vpRiGMY8xQWgYOynr16/Ht7/9bZx77rnP6jw33HAD1qxZg6uvvhqHHHIILr/8\\\n",
       "cqxevRqPPPJI30gEctddd+GEE07ApZdeite97nW4/vrrcdxxx+H+++/H3nvvDQD43Oc+hy996Uv4\\\n",
       "5je/iRUrVuCCCy7A6tWr8cc//hGO4zyr9e5sPProowD6h81rwcOESbp6LIlkGaEOH2k2m9JrVigU\\\n",
       "EIvFZPxDIBBAuVyWMQmcC6jLIfV4C+0gavEXi8XQ7XZl9AHnAcbjcXEmk8kkPM9DOp2G67rI5/Pi\\\n",
       "eLJsNBAIIBaLIZ1OI5fLibtJYaMFnv8fBPxjNvTfKeK04ON4Fo7cKJVK4rTyuJnKPP2CTj9PIUfh\\\n",
       "p/v3dL+fFon+MBidGMvj/YKSopDu4+bSRbkPxtzYGQSh4zj43//93+29DMMw5jkmCA1jB+ed73zn\\\n",
       "jM//9a9/xW9+85tnLQgvu+wynH766Tj11FMBAFdffTVuvvlmfP3rX8dHPvKRacdfccUVeM1rXoMP\\\n",
       "fehDAIBPfvKTuPXWW3HllVfi6quvhud5uPzyy3H++efj2GOPBQB861vfwsjICNauXYu3ve1tz2q9\\\n",
       "Oxvr168XYUAXTA+lp1sGbPpSqnsN/b1jFDa1Wg0TExNoNBoiJlhW2O12JZhGlx4C6BOdwWBQhCNd\\\n",
       "KZ3EmUqlkEwm0el0ZGg6BUssFoPrujK+gSEzdAFZZplIJERcVqtVGY1RrVYlmZNil26gf9ag39nk\\\n",
       "XrIEk65psVjE1NQUKpUKXNdFp9PpE2Q8B//UD+6tXzj6R38wVVX3ZWrXT5eS+o/Tn4G+PwrcmY7X\\\n",
       "wpKuqDE3dgZBCACxWAzLly/H3/72t+29FMMw5ikmCA1jByefz/f93O128Ze//AUPP/wwrrrqqmd1\\\n",
       "7larhfvuuw/nnXeePBcMBnH00Ufj7rvvnvE9d999N9asWdP33OrVq7F27VoAG0tcR0dHcfTRR8vr\\\n",
       "mUwGhxxyCO6+++7nRBDO5y9nW0qlUukbRUAHjs6WdpUIe8boFOogFgqcdrstZaT6iy+duWQyOa1v\\\n",
       "TpdhUtiwRFGXlTJRlM5hs9ns64HTJZWu6yIej8sgdopXCk6WbLJsk4mp+XxeBFGxWOwrKaUzqhNQ\\\n",
       "2X/Jv/M1prQWCgVMTk4in8+j0WhIue1MaEdPz3/UwnAmAeefFalFHNGjLrRg1OfinzoNdTbx6P/d\\\n",
       "sZTRubOzCMJ2u42nnnpKfhcymQxWrlyJO++8c3svzTCMeYIJQsPYwfn+978/4/Of+tSnsHbtWrz7\\\n",
       "3e/e6nNPTEyg2+1Om3E4MjKCP/3pTzO+Z3R0dMbjGY7CPzd3zEww8ISUSqUZj5vPX8y2Bt1/xt5B\\\n",
       "LRj8c/OA6YLF75ZRSFIgUSRo58w/qkCfTwsbf3+bLpeko8lZen6nTh+jA1D85Zf+NFSWl9LtYpmp\\\n",
       "Fnp6LAbvlcI4EomISA2FQmg0GtK/SKfRP5OQ69Z/13uzOeHm30vt5PpDZvRnNNvvsl6X/8+Z0J+T\\\n",
       "OYQLD/7DwR/+8Adcdtll+MUvfoF77713O6/KMIz5hAlCw9hJOeGEE3DJJZds72U8Z1x66aW46KKL\\\n",
       "+p678MIL+37e2cQgsOmLvu79osDQfWW8d+3mURT5h7mzt40jC+jIsR+N6aTsT6zX6xKOosc40CFk\\\n",
       "aaleC8s9XdeVREwdisIkTfYVxmKxafcMTBdH7XZbxmhwREWtVkOlUpF7CQQCqNfrEqLDpNVGo4FA\\\n",
       "IIBqtYpWq4VqtYpQKIRqtYqxsTFMTk6iXC4DgOwb369HSmhxzL1jWelMAtKfcgpAZhZqF9Bf5rm5\\\n",
       "32d/uap/3/T+0Y1kiJAxd3bE/08JBoM48sgjcfvtt/c9v+eee+Ib3/jG9lmUYRjzGhOEhrGT8vvf\\\n",
       "/x7777//szrH0NAQQqEQNmzY0Pf8hg0bsHjx4hnfs3jx4s0ezz83bNiAJUuW9B2z3377zbqW8847\\\n",
       "r68UtVQq4ZprrpGf/e7MjvhFbiZm6kHjz7rcUJcNAuhzySiSdEmhFikUNXwfw2pqtRqKxaK4fMCm\\\n",
       "fj0dKqP7DHUCZiKRQCaTkZ5CPbidx3BYveu6ffP0Zrp37XiyxNTzvL4Zhjo8hiMmWGbKBFXHcTA1\\\n",
       "NYVkMolgMCj9g/l8HrVaTd5DUakFn+4n1O6rXwwSrl0LTN4X98PvDur36r2YzRV8pt917caaIJw7\\\n",
       "O2rJqOd5OPzwwwFs7Pl+z3veAwB4yUtegieffNJmURqGMQ0ThIaxg+Pv1wM2iqubbroJxxxzTN/r\\\n",
       "l1122RadOxqN4oADDsBtt92G4447DsBGt+O2227D+973vhnfs2rVKtx2220455xz5Llbb70Vq1at\\\n",
       "AgCsWLECixcvxm233SYCsFQq4Z577sGZZ54561oYcjITs6U97gywxM+fPglMv2+dZElBOFOfmXYT\\\n",
       "9Xu06Gw2m1KWS1cuHA6jVquJO0jXjIKHJZAUIMlkEgMDAxJc4zhOn3DSopGzFBlww/XMVnLJJFKG\\\n",
       "zNTr9T5HlPcAQEZacMYhg3nomPnP4XmeJI6uX79eRniwN5LJq9xnv1tHgci/s1exWq2K6GVojv48\\\n",
       "dfmuDoOZTcRtiaPIz8QE4dzZUQUhALzwhS8EAJx55ploNBo455xz8Ja3vAWf+9zntvPKDMOYj5gg\\\n",
       "NIwdnAceeGDG5w866CCMjY1hbGwMwNZ/YVmzZg1OPvlkHHjggTj44INx+eWXo1qtSuroSSedhGXL\\\n",
       "luHSSy8FAJx99tk44ogj8IUvfAHHHHMMvve97+G3v/0tvvrVr8o6zjnnHFxyySXYY489ZOzE0qVL\\\n",
       "RXRuLTubGAQ2Bu4Am8SR7qnTbp/uZ6MI1AKQgoZunu5N9AtMCqRerydz+UqlkgTNABuFKkNrKpUK\\\n",
       "KpWKOH5cG2fkUQRxLp92yBzHQSqVQiaT6Rvx4O+N9I/c0EExHLhOQcjZinQE2+229Abq/kVdwkpn\\\n",
       "lNRqNUxOTso6Q6EQEokEBgYGMDAwgFQqJeE1+rwMb+GoDqa8VioVFAoFNBoNRCIRpNNpOZYCkWvg\\\n",
       "Z8NSTx0+4y8T1Z/hTP8b9x9rzJ0dWRBeddVVePGLXwwA+POf/wxg4z/GGYZhzIQJQsPYwbnjjju2\\\n",
       "6fnf+ta3Ynx8HB//+McxOjqK/fbbD7fccouEwjzxxBN9rsNhhx2G66+/Hueffz4++tGPYo899sDa\\\n",
       "tWtlBiEAnHvuuahWqzjjjDNQKBRw+OGH45ZbbtmqGYSzlduRL3zhCzjssMO2+LzzhdNPP33W8QYU\\\n",
       "CP5+Ny1uKB4pUIBNZaE8BwWPDpThCIhAIIBSqYRqtYqBgQHpCWQwS7VaxcTERJ+oYeoohZEej+BP\\\n",
       "1OTYimQyiV6v19fnpu83Go1K2iidSPY5NhoNmU2oX9P7o8s76Sz6HVbt7HU6HXEtWYKaSqXQbDZF\\\n",
       "yEWjURHE9XpdAmvi8TiSySSi0Si63S5KpRImJiYwPj6OWq2GaDSKZrMpQS+8T4pHuo4U8ezR1I7s\\\n",
       "TOmyz/QPIvNNtMx3dlRB+MIXvhD33nuv/P/e1772NXz5y1/Gl7/85e28MsMw5ismCA3DeEbe9773\\\n",
       "zVoi+rOf/Wzac8cffzyOP/74Wc8XCARw8cUX4+KLL36ulrjTsmLFij5BqF0zXeKp5w5S/ACbZtSx\\\n",
       "X42OmhZPFFyc60ehpcNjWq2W9AzS1eLQe56Pa8hms0ilUjJ7EOgXMUQLRY7T4Ht0zxxLS9PptPQM\\\n",
       "MjWU6bNcK+9JJ3j6SzH19f1CWw+sBzaO/WDPZKvVQjweF5HI50qlkoyroJOYTqcRj8fR7XZRLBYx\\\n",
       "OjqKsbGxPkFIwaHdRj12g0EwvV5PejW5lxSD+k+/IHymfywxNs+OKgj//Oc/4+CDD8Zf/vIXfPe7\\\n",
       "38Xq1atlfYlEYjuvzjCM+YgJQsPYAXnNa16DT3ziEzj00EM3e1y5XMZVV10F13Vx1llnPU+rM55L\\\n",
       "li5d2tebpstD9WOmXjagf66d7g1stVoANooLx3HE0Wq1WigWi6jX6yJO+MW4VquhXq8DgJRhlstl\\\n",
       "cRT1yAY9Z4+jIvzzEPm853kiMtlrGAqF+oSP4zjI5XIIhUKoVCool8uoVqty3U6n09djOJPwfKYv\\\n",
       "7Vp48oszhTOH17darWmjQGq1GqamplAqlRAIBBCPx1EsFpFIJOB5HorFIsbGxjA1NSUlo9wjltTG\\\n",
       "YjEpb9Wiluum08nPDNjk/ur79M8u9N/zfBIuxrbjN7/5jfx9amoKRx11FJrNJn79619vx1UZhjFf\\\n",
       "MUFoGDsgxx9/PN70pjchk8ng9a9/PQ488EAsXboUjuMgn8/jj3/8I375y1/iRz/6EY455hh8/vOf\\\n",
       "395LNraSVCrV9zMDXPjQvYV0A/U4Cv8YikajgWAwiHq9LuKAPXyRSASVSgWNRgMA+kpPGSxTLpfF\\\n",
       "GeSDzhYdSj1rLxqNytiHWq0mpZwsYWUPZDweRzAYRCwWQzwel2tyDeFwWHoY6VhyjRRtWjjP5pZp\\\n",
       "gaxdS7qf6XQaixYtQjqdltfZj6jPzfPMtDfRaBTValV6KDkWo16vi5sZCATElQ0EAlKK6y9dZRmu\\\n",
       "3lvuL0t3eZyeBalHjGyJ02VsYkd1CP1ks1ncd99923sZhmHMY0wQGsYOyGmnnYYTTzwRN954I264\\\n",
       "4QZ89atfRbFYBLDxi8lLX/pSrF69Gvfeey9e8pKXbOfVGs8GOkA68IVCjz1yDI3RfXv+/kIKKzpv\\\n",
       "dPYAwHVdpNNpKVukMNEOXa/XQ6PRQKlUEvewVquJi6jFCkUN++0ajQYKhQIqlYqIO/bZ8ZFIJKRU\\\n",
       "k+vQpbAcIcEyTB3GMpsA9DuluhxUO6btdhvBYBCO4yCTyWDRokUYGBiQuYsUvQD67lX38NHt9Pcz\\\n",
       "cqaj3+Vl6S5FItNVdV8nH1q8asGtx3jws9aCkoJzpvEWxjOzswhCwzCMZ8IEoWHsoMRiMZx44ok4\\\n",
       "8cQTAUDK/AYHB8U1MHZ8GOwy0+BzopNHKXoYVsKST45pYHCL4zhS/sjyTfbE6WATnp/ljNVqVc7H\\\n",
       "3kGKFa6V6yyXyzL4vVQqyezASCQC13UxMDCA4eFhEYMMlNFhMXqNOiBHJ6bqL+76Z907yLAXzjwM\\\n",
       "BoNSPst7oiAcHBzE4OCglHvqtfO+W62WuHs68IWCkSKM6/QHxjDl1O/q8VwMlKF4ZVkw95v3SaHK\\\n",
       "1yjQ6ai6ritr3BlTeLclJggNw1gomCA0jJ2ETCYjIwqMnYeJiQkpsaS4oEDwo4Wh7i2jSNHH6LJJ\\\n",
       "BpwwAEU7Yv4SSwas0HnU66BLxmHudCHr9bq4iQAkoTQQCCCZTPY5WyzPrFQqMrePpaQcSUGBQ/Gk\\\n",
       "18h94nxBjoRwHAfZbBaLFy+WfzSpVCrYsGEDJiYm0Ol0EI/H4bouUqkUUqkUAoEAcrkcJicnZWg9\\\n",
       "k1UrlYoE5jABVTuzXHMqlZLPhM4eS2Rd10UymZQgHX6+2smkC8peSz03UveOckRIqVRCo9FANBrF\\\n",
       "wMCACMuZRlYYm8cEoWEYCwUThIZhGPOYBx54QMoZ0+k0MpkMXNedNp6B4kAHjhDdh0bnjf1/FDgA\\\n",
       "RMyVSqW+2XracWPpKYWIfp3XpEsFbHKudKlju90GsFFIlctlEVdMDS2VSpiamkK5XJYxFplMBqlU\\\n",
       "CtFotM+51L2TkUhEjguFQmg0GqhWq2i1Wkgmk1i6dCl23313LF26FLFYDJVKBU8++STWrVsncxYT\\\n",
       "iYQ8wuEwBgcHMTU1JSMjqtUqpqampOcyGo3KfEKOnuh0OhJOMzg4iGg0Ctd14TgOKpWKCEL+Iw4D\\\n",
       "fXg+LQYBSP8gy1sBiBDm51uv1zE1NYUNGzagVqshmUzC8zwkEglEIpG+RFZjbmxrQfitb30L73zn\\\n",
       "O/vmX55++ukys9UwDOP5wgShYRjGPOZvf/ubCMJsNisloCwvZKknHTFdXkrXj25eq9XqGzSvRyrQ\\\n",
       "3aNInG1MA+F1+He/cKQApEj1O4ksb6QbyDLXer2OQqGAiYkJcRgpBOPxuNyzFpk6nXRwcFCcsVqt\\\n",
       "hnw+j3q9jng8LoI6k8mIo0dXjf1+usyU52VfJrApQIZuIUNw0um0lJa2Wi04jiPvZYKovkYsFhMh\\\n",
       "qEt76SbS0WMpbqVSQa1W63NMSbfblWMYCsQkU7q6rVYLhUJBeo2N7cudd96Jk08+GeFwGKeeeir2\\\n",
       "339//PCHP5Rh8oZhGM8nJggNwzDmMRxlwEHmruv2JU7yyz5781KplASahMNh6XmjW8aZeVNTU6hW\\\n",
       "q1KuSZGlRzhoZhKDfvHpdxC1Y+l3UChAq9WqiJRQKCSCcHJyEtVqVcpfGYyjxSBdTM7+S6VSGBoa\\\n",
       "wtDQEMLhsPQGlstlEZQc8h4Oh2Xchuu6KJVKfSEyzWZTehR5j8BG8cU+S147EonIeSqVivwcj8el\\\n",
       "zJV7wHPyNQDi3LE0mOKYPYIU8bVaTUQl3UzOKdS9n/o8ACTU56mnnsLY2NhOUd546KGHYvXq1dOe\\\n",
       "n+uIkbmwLR3C1772tQAgji8AvP/979+icxiGYTxXmCA0DMOYx9A5ohjS8++Y+kmnLxwOI51OS8mm\\\n",
       "4zjo9XrS81YsFlEoFDA1NYVCoSAD1rWYm00MakGoA2zY98a1NpvNaa6g7vHT52u32xI8Q0HEQe/a\\\n",
       "6dJr8o9h8DxPBBLHZ2QyGRF9FI10VP3jJyKRCBzHEUexUqmgUCjAcRxJSmVJnx5yz31jf14sFpMy\\\n",
       "0U6nI2txHGdayScTUtkfyDJeftZagFIQVqtVGX0Ri8WQTqeRTqeRTCalP5FOcjAYlNJi7m0+n8fo\\\n",
       "6ChGR0e31a/qdue57o/cloKQY0n42QHAihUr8Je//GWL12kYhvFsMUFoGDs4J598Mk477TS88pWv\\\n",
       "3N5LMbYRFDMsi2RqZblcxsTEBAqFgghCnfTpui48zxORMzk5KWKwWq2Km0SxpofJ6zEJ/FMPPucI\\\n",
       "CLpunueh0WiI0OP7/K6XHr7O1FL2wIVCIRkFQQfOH4ID9M9iBNDn0LmuK6WlnuchmUz2iTq/WKWw\\\n",
       "5aiLSqWCyclJEVKNRkPmJ84kEPRcwlgshmw2i2AwiFQqhWw2i1AohEqlImE5dPg495DrYX+iPzyG\\\n",
       "jiTFJK9DF7PdbiORSEhwDsXp8PAwMpkMotGo9IvWajURlTsb2yIsZ2sE4UMPPdT3/JIlS7B8+fIZ\\\n",
       "31Ov1+G6Lk455RT88Ic/xOOPP44Xv/jFeOSRR57dwg3DMLYQE4SGsYNTLBZx9NFHY9ddd8Wpp56K\\\n",
       "k08+GcuWLdveyzKeI+jGMbwkkUggFAqh1WqhXC5LX1i73ZbRDRRULCWtVqsiCPP5vIhBikydQumf\\\n",
       "Jah7EHW/IhM0s9ks4vG4CE8mYurgGLp3juOg2+32iR/25HE9dCvpoDmO05fCyXVSSFFwxuNxJBIJ\\\n",
       "OZb9fyzZ5IxAzglkLx/fTwFZr9eRz+cBQIQg5yeyTJaOKMtx2b/J6zmOg1QqhUQiIQIX2CRawuEw\\\n",
       "EokEXNcVwcey4EqlIvvC0l9/iA+FoJ6HyPtPpVJIJpMYGBiQfxDg5+qfXbizsK2SU7dGEJ566ql9\\\n",
       "z2cyGRQKhVnfVy6XAQBf/vKXEY/H8eijj27dYg3DMJ4FO99/GQxjgbF27VqMj4/j29/+Nr75zW/i\\\n",
       "wgsvxNFHH43TTjsNxx57rM0k3MHRzp0es6B72XRJpS7P9KeL8tHpdGRwOXvZGBCjxxjQzeO4CLpk\\\n",
       "FJIUNUy09DwP1Wq1bz4gxVo6nZah8uyN849Q0Ovn/D2GsnCN2ink8XT5uD/aUdQhN7x/OpQ6HVWH\\\n",
       "8DSbTdRqNRkRoZM9KdC5H+zt7PV6soZEIiH72m63p60pEomI20shSbFL97Pdbss6ddANj9GJse12\\\n",
       "G/F4XJxY3Supx4ew39GYG1sjCK+77jqsXLlSnl+yZMms7/F/FosWLcITTzyxFSs1DMN4dpggNIyd\\\n",
       "gOHhYaxZswZr1qzB/fffj+uuuw7veMc74LouTjzxRLz3ve/FHnvssb2XaWwF7NOj+8eUTZYyshxS\\\n",
       "97Fx0Lsue2QfYaPRQLfbRSKRQDabRTabFddRCw8A4vbp9wJAPB5HLpfDyMgIhoeHkUqlpDyTvY0U\\\n",
       "MqlUCiMjI1iyZAmSySRarZbMVmRYjJ4fqEtWw+EwXNdFLpdDOp2W0kgtsCgeKRpZmsrXeA903ihi\\\n",
       "uZ96piHFVr1el94+uotcC4N9OMqhXC7LZxSPx5FMJmW2IIWjFoCBQACpVEp6AOn+0TVlKSgFNt0v\\\n",
       "PcBez2ukA8s16c8fgAhvDqqfaX6l8dyxcuVKHHTQQc94HH/3NePj49tqWYZhGJvFBKFh7ESsX78e\\\n",
       "t956K2699VaEQiG89rWvxf/8z//gpS99KT73uc/hgx/84PZeorGF+OfSsXeO4kH30bFkkH10dOJ0\\\n",
       "cman0xFRMzg4iMHBQRGEdAV1sAmvxaCXXq8nc/dGRkYwNDQE13Ul5ZRClcIjl8th8eLFWLJkCeLx\\\n",
       "uJSH0nVkuaQ/oIYCN5vNYmhoSEpT2+12Xwlpp9PpE8z6HMBGx5OjJSgeKS4p2LTrp3sMGcwTDoeR\\\n",
       "yWSkdDcej4vgo9PI8RNMF2UJKvdSj81wXVdcRLq4DI6h40eRDGxyTXUJLx8sL2VJKI+jG0oHORaL\\\n",
       "IZfLIZlMPj+/uDsB2zJU5pRTTsG1116LwcFBfOQjH8G3vvUt1Ov1PnfRMAzj+cIEoWHs4LTbbfzX\\\n",
       "f/0XrrvuOvzkJz/Bvvvui3POOQf//M//jHQ6DQD4/ve/j3e+850mCHdAOC+Pc+XY11YsFvsEIcsB\\\n",
       "6URRLLHPjWIQgLhFTOSMx+MAIIKQAoaCpNFoIJ1Oo1qtotfriVAbGBiQUlCWZWYyGWSzWXEth4aG\\\n",
       "MDg4KMPi6bbRzWTiJu+RDlggEEAikUAul5PrcHh9o9EQ4cWZfhTOOrwG2NTnR5EajUaRz+eRTqdl\\\n",
       "lp8us6UQ1MmkLItljyLLOykeuZ8UeRSkOnBG9ypyjeyZpJDPZDLSW6ndxWg0ikAgICE87AFl6IwW\\\n",
       "sRSA2mGkiOfnbMyNbSkIr7nmGjz66KP4xS9+gXPPPRfAxpTRBx98cIvXaRiG8WwxQWgYOzhLlixB\\\n",
       "r9fDCSecgN/85jfYb7/9ph3z93//98hms8/72oxnD8cKABAxwGHuFAZ09+gY1Wo1ABtTDHWQDJ2n\\\n",
       "aDQqIicWi4mrxFEH7MmjcHEcB4lEQpwonXhKF5I9bRRog4ODiMfjGBgYkFJRDopnCA77AymmOKSd\\\n",
       "4pXBNXxQ5PLe6vU6isWiCEsKrkgkIqErjUZDEjbpJk5NTUnoCteQSqWQy+WkHDcQCMBxHJlrSHeN\\\n",
       "ITV06rj/dA0poinQKNp06qrug2T4DQUhE0m559lsFqlUCoFAAMViEU8//bSUiwKbegPpVhaLRZlZ\\\n",
       "yPLUoaEhud+dMVRmW7ItZzbeeeed2+zchmEYW4L9l8EwdnC++MUv4vjjj4fjOLMek81m8fjjjz+P\\\n",
       "qzKeK/gFnr1tnEvHv9OB4vPFYlHKLSkIS6USms0mer1eXzCLno0HbBpvwevp+Xt8XZdXcrwE18YZ\\\n",
       "h41GQ0RSLBZDp9NBqVTC1NQU8vm89CImEglJxMxkMnJspVIRUUt0GWs8Hpc+PJbAUqDRXaNA5RgH\\\n",
       "rpsuIEUah9rncjkZCcEewmg0ilwuJ6JM9wXqOYJ0VHVKqnbndJmnLs313xtdUpYHp1IpDA4OIpvN\\\n",
       "SlltqVTquxZLVbk2lseWSiUR9bxHE4RbxrZ0CA3DMOYT9l8Gw9jBecc73rG9l2BsQ+jaUVToZEn2\\\n",
       "rzF1slarIRgMykzCZrOJcrksZYgUhByvUCqV0Gq1RCxRXPAYXYqor8eSTArBRqMhYy2KxSK63S7S\\\n",
       "6bSEtDQaDYyNjWFsbAylUknGJLDsM5vNIpfLSUmoTjel+0gB5x8zUalURAzzNYpfCk+Ogeh2u+KK\\\n",
       "MkRGl2RGIhG4rot6vS7poCyppTPoH81B6NBSMPI5nQbKkBo6i/ocLCulO6tLSVn63W63pf+QnzFL\\\n",
       "ajOZDILBoMyC5Lnp5uoy1W01puH55K677sKtt94KYNuJMROEhmEsFEwQGoZhzGNisZgEhui5dAxt\\\n",
       "4Zd/iiIKoWAw2Nc/qMc7tNttlEoltNttEUYUTRxHAUCupUUoj2XYSrPZRKFQwPj4OCYmJmTsBFM4\\\n",
       "G40GKpUKJiYmMD4+jlqtJtfk/TGZk+4VXTSun9dmeatfONFVpHBMJBIIh8Py98HBQTiOg16vJwmp\\\n",
       "FHl043i+WCwm16NwpWDUsxkpUCle/eMvWFbK8s5qtSquJ0tiOXuRnyMAKellXyJdVmCjsHVdF+l0\\\n",
       "WkpaFy9ejJGREWSzWekh5HzDaDQqPZ7+6xjPjAlCwzAWCiYIDcMw5jHpdBq9Xk+Gm+u5gPrLvd/N\\\n",
       "0wEpetQARUOpVJI+M5YUAhDnjSExdBLL5bK4UhyZEI1GpVR0fHxcykUZGMMQmmKxKOdotVoyn4+O\\\n",
       "JcskeR+tVktSMhmmoh01HdTCPaGTyH2hE8h+SY7CCIfDksTKckqWkhKWnLKE1D/TkNeg4GPSJwBx\\\n",
       "WaPRqDiouvcTgLiqFK76fvgPAOwrpJtJt4+Oajweh+u6kvTKkR90kdlTybEiFM+GYRiG4ccEoWEY\\\n",
       "xjxmaGhIZvtxBiGHlmuBBGxyKXRADMUGodCjiwhASkTj8biUltIZLBaLmJiYQKFQQLPZRDQaFaEU\\\n",
       "CAQkLIYOGINlOKqi3W6jUqlIGWan0+krmwQgpZgUoBRPrVYLkUikb4A9oYDSZZB6LiEFE1/zi7ZE\\\n",
       "ItEn9gjdR7qyFIy695LXYs9iuVxGuVxGu93uC+wJBoNy73RZAaBSqaBcLkvfHwUpRSDHajD0htdk\\\n",
       "X+bAwAB6vZ70GDIxtdPpIJVKiZsaiUREVM50r8bmMYfQMIyFgglCwzCMeQyTL+nOUai1Wq2+9Eot\\\n",
       "DAm/0PrdLQB9/Wsse6Rgo0tXrVaRz+cxOTmJQqGAdrstDqIumaQ7x/eyTJJzC/Wgev8sPZZfsjyU\\\n",
       "4kqnaFLo6fsKhUJSQglsCsRhWmcmkxHRR0FIscvSUL8z6N8zXZ7qF4QUhRwFwiTXQCAgIz0cx5F9\\\n",
       "1eWl5XIZ+Xxe+hLj8biU4tLZjUQiUpbLz4hOLteVTCb7XESWkbquK/egy3O3ROAYJggNw1g4mCA0\\\n",
       "DMOYxySTSRnlAGzsP6MbxwAWv9AjM4kd/qmHmPN9FGkUd6VSCYVCAcViUUZc0KVkr6EOUuG5dNmn\\\n",
       "vyRSX4tiiWEr1WoVhUKhr7RUzxakINOjGhgUw9JTunPsvaNo4z2zTDUcDs8oCPX++PdMO2zaeaUL\\\n",
       "WigU0O12ZewDy2op+ui8ssyW/Yt0B1ni6k9F5b5GIhEkk0lxFjn6g/tPUczz0sGkG0yX0JgbJggN\\\n",
       "w1gomCA0DMOYx8RiMXGHut2upExGo1Epz/Q7g3rsAX8mM4lEHUzDElDP86Tvj+WeenZeNBqVQec6\\\n",
       "tdN/fQoRLX7oEtIRLBQK8vepqSlUKhV4nifzBemU8fwUo3o2IQUehRXFj14Hxax2+zYHHT3uk981\\\n",
       "1KWuFF7sD9T9kfF4HJFIRAJrdCpsrVbrC7jx76EW+P7yWM5d1A4w39/pdFCr1dBoNER883My5oYJ\\\n",
       "QsMwFgr2XwbDMIx5DPv7WA7IMkG6aEQ7VzoFk8/50WJDi8FqtSrjIhg8owNgKIgo1ACIoKHg4zFa\\\n",
       "NNLZbDabUjLKcRV0xqrVKorFogTTMKBFl0TyXtnDqB01ij6/86fFHH+eKShG76HuO6TbxtmEWkxq\\\n",
       "t5NjMuhKAhDhGgwGRWyzl5DOHj8Hv4vKzxHY5P7pwfYz3QPf12q1ZCRHpVJBIpGA4zgS3mM8MyYI\\\n",
       "DcNYKJggNAzDmMdop48iS5cXasEAQISgDmKZTRDq81PYNJtNRCIR6VXUKaX+8smZAle0+GKvHksi\\\n",
       "9TgGPVaCcxIZJMMST13a6Xf0+Lp/TTOJJP/aZysT1XA/Go2GvKYdOe2C6uvokRgs3+S9UzSzF5R9\\\n",
       "jJsr49Spqvo+9V7rNVNE+kUqRaI5hIZhGIYf+y+DYRjGPKZer/d9+XccB9lsVvoHKS4oUjqdDoBN\\\n",
       "4sDvEmoniT/zuUajIcPqGZaiZxgC/cLLP3dPB5kw3CSbzUoiJ3sRKTKZYgpA+hFbrZYIXz3vMBAI\\\n",
       "9M1f1KJzJrE3kwjmHuljKJx10A2dPIa/BAIBuK4r56QryfVwvQzbSSQSyGQySKfTMmORsx1d1+1z\\\n",
       "EpkoSnHrX5v+DLnn+l55HHsxOeKC8ydrtRo6nc40l9R4ZswhNAxjoWCC0DAMYx4zOTkppZF0mjKZ\\\n",
       "TJ9IqNfrfQPrdUmh3wmcrb+QjiAA6U2kcJktvRTYJDyZWkpBGI/HkclkMDAwIIJwampKxjMAkDET\\\n",
       "7EnUTpy+XwAyF5COKN03lo4S7XhuroeS4lm7aRwNUavVUCqVUCqVMDU1hUAg0Jd6ypmNvA+KdLqh\\\n",
       "iURCZjVyKLzucWTAjL5X7RTqsk8t/OmK6t5I9mJWq1WUy2UJHOLvRKfTkVLdmT5LY3ZMEBqGsVAw\\\n",
       "QWgYhjGPGR0dlZRKPU6BpZe6JFCXier5dkzX1C7YTM4hxz9osaGFFYA+IciSxEajIYKN/X0URZlM\\\n",
       "BqFQCM1mE6lUCvl8vm8MhXYFdZklhR7LNoGNQpXhNnQg/eMg9JxGike9DzyOxzAIhg86bHzUajVx\\\n",
       "5ejmdbtdCfkJBoMy5J4jLShmmY7KvdRlttpppVgEIPvB9TSbTSm51e8BIGKwWCxicnISU1NTqNfr\\\n",
       "EkLE43u9npyPe2I8MyYIDcNYKJggNAzDmMeMj4/LzLlAICAliKFQSEJZKJwognTaJkNQKKzoHtF5\\\n",
       "0uWWFGMsiaSQZBmqFlQsqyyVSn1hMdoh1APaE4mEBJtEo1EJxNEOIx0wBum0223pL2QqJ0Ne0ul0\\\n",
       "n5iiGGw2m6jX63KsDsBhiidnI1YqFRSLRXEDKQB176TuS+R8RYpePftQr0UnhWrnlvMFmbjqP54C\\\n",
       "tVKpoFQqoVKpoN1uIxwOy2xBroefd7FYxPj4ONavX498Po9ut4t4PC7zCT3PQ61WAwAR/MbcMEFo\\\n",
       "GMZCwQShYRjGPKZUKokbGI/HReQwsIUllXT+dJ9hLpeD67oIh8NotVooFouYmJhAPp8XwaP7/hKJ\\\n",
       "BFzXheM46Ha7Mlhel4MCG4VFtVpFr9dDsViUxFMmkfrn/FHIaOeMThVdSzqG2sGrVCoiHOmadTqd\\\n",
       "vlETumSU5ZEUeJyDyF5G3ifTVPP5vDhrpVJJhDIAGXyfSqXgOI6knXLNFIkU0P6xEXRPKajphnLP\\\n",
       "dWIo769Wq6FYLCKfz0t5rf9zp6AFNvaXTk1NYXx8HPl8XtzMUCiEeDwu4y50cI8xd0wQGoaxUDBB\\\n",
       "aBiGMY+p1WoiPjgPEMA0J4qiLRqNIp1OY/HixVi6dCmy2SwikQiazSYmJyclQVSHjbDEc2BgAAMD\\\n",
       "A3AcR4bFsySVbhmwUbxwPmGxWBThRkFI8UMhEgwG+2bzUSzqEBftTNLp06Kx2WzKNVieScHJ3sdO\\\n",
       "pyNzDRmOw/vVw9oZnlMoFFAoFFCpVOR6nO+XTCaRyWQwNDQkaaAUCHr8hg7X4TEUtxS7OjmVbqt2\\\n",
       "Qilk8/k8JiYmMDk5iXw+j2q1Cs/zEI/HRVS22204jgPP86RclEmoFIG5XE56GvnZ1+t19Ho9E4WG\\\n",
       "YRjGNEwQGoZhzGPK5bIIB5Yzdrtd6U2jA6XdwaGhIbzgBS/AsmXLkM1mxRVjmWW9Xpf0zFgshmw2\\\n",
       "i5GRESxduhRDQ0MIhUKYnJxEp9MR50yXkNbrdUxOTqLX66FSqUhQjHbqSqUS1q9fL4K2VquJwKF4\\\n",
       "arfbInQ4xF2XuLJHkr2DFFqhUEgE3YYNG6QslaWg7L3r9XriktGV9DwP1WpVRCMFFstwY7FYX/9j\\\n",
       "KpUSIadDdrQwpNBiGa4e+UBnU5ewJhIJpFIpxONxBAIB1Go1EYP5fB6VSqWvrDccDktpKB1cOpIs\\\n",
       "nx0cHITjOEgkEuJm0o2kuA0Gg1YyugWYQ2gYxkLBBKFhGMY8hu4cRR9LOOkI6tEEetxDMpmcNjCe\\\n",
       "JaGu64pQcl0XixYtwrJly7B06VJkMhnp3fOPcNCpluyN87uWFK/NZhP5fF6cRvbH+fvygP4+Qh2M\\\n",
       "w8CaRqMhLpsekVGv11EulyXJk+WmWjjqMlcKai1io9Eo4vF4n5DSP4fDYdl3Br/4R1ewt5BBNRSv\\\n",
       "DLip1WqoVCqoVqsyf5CfAQApFeVYDgb76JEYPE+hUBBBSUc3k8n0CcVQKCTCXSfPsq/UmBsmCA3D\\\n",
       "WCiYIDQMw5jH+BM+/QPJ6VRxADoFH+f38RwsheSMvFwuh263i0wmg8WLF2NkZAQDAwOIxWKoVCri\\\n",
       "cmkRSscuEAhI+Sb/ZOkkXSstFv3iBoAkigKb5uvNNGSdThudUYpFjoio1+t94Tl0H7kWnVjK3kGW\\\n",
       "u9IRzGQyyGazSCaTUmbJHj9ep91uy31y3Xp4Pc9LJ5B7TtfSHxLjOI6IM84LbDQaMp+Qn6ffceQx\\\n",
       "7B9Np9MYGhqC67rTQnO4Nn5miUQCkUhkG//G7jyYIDQMY6FggtAwDGOeo0UfxQrHG9D102EyyWRS\\\n",
       "RBAFpQ6OGRgYwMjICHq9npQbplIp6c2r1+uoVCoibnRPnBZGFHrAprmAdKHC4XBfL6AOjeHxjuOI\\\n",
       "88Yh9Hrd2jHU4TOErmm73ZY+Pwa86H4/nVrKfjodzsNUTu6BTlKlkGOYDV1DLbwKhYKE01D0UdRp\\\n",
       "Icr95FxJijOdEKuFu06TpdjU7idLW1l+SgdTi3X+XTufxtwwQWgYxkLBBKFhGMY8hiKQQosOHEVD\\\n",
       "LpdDs9mUWXjZbFbEgR5Cr8dBsGeQCZaca0gHiimXFDcA+mbfUQQCkARRpp4y2ITCqtPpyBgH/1B5\\\n",
       "LeJY7qj7B4keNq/nIvpnJNK545p0HyLFW61Wk/LTSCQi59DhMMCmVNPx8XGUSiX0ej3pVYxGowA2\\\n",
       "pZpOTExgdHRUkj4ZfOM4jvRK1ut1ce386av6z3A4jGQyicHBQXFsa7UaxsfHMTU1hWazKefWYzx0\\\n",
       "ySz3huKRx7O01Jg7JvQMw1gImCA0DMOYx2QyGRmdwOHkFDDxeByDg4OSQMoAETpPFFB0jnSiaCaT\\\n",
       "6RMnFIPlchljY2N9Q87Zl0ZXjG6dFlIsv9SOFUUZyynZe0hHkC5YMpmE4ziyDjpyAPpErf+hy2YZ\\\n",
       "eKNLakOhEMrlspRhsjSTqaShUEgcQ5ae8pxMUB0bG0OxWASwUSTqMJdqtYpisYipqSnk83kJqaGD\\\n",
       "SKHGawGQ5zmXkeKSLipDYoaHhzEyMoJ4PI56vS7nKZfLMlfRP+rCj+4bTKVSyGaz5hAahmEY0zBB\\\n",
       "aBiGMY9ZunSplBhGo1Fx3BgKwxRMlhNSeLAM0T/8XPen6VRQOmn5fF6cLs/zpNeNbh7dLp2CqQVq\\\n",
       "NpvF8PAw0um0zAusVCoimpg66roucrmchKKwXLVSqQCAiFE92F27gYTHaEHINfGedM8fnUfeS61W\\\n",
       "Q6lUEmEWj8cliXRiYkLmAdLB476FQiFUKhXk83kUi0UZ4xEKheC6LgYHB5HL5RAOh1GpVPocTtd1\\\n",
       "MTAwgFwuh2QyKUPvdTIqA2OSyaSMimC5KZ1Ef9+lRjvC/D1hj6QxN6xk1DCMhYIJQsMwjHnM0qVL\\\n",
       "Rchwnl+lUpHxCHT8AIgDxz8p9HQJJ6HAoUBi7yD769ijFo1GkUqlZMB9s9lEoVBAPp/vGzfB2X3s\\\n",
       "T8zlcn0ij2WsdNvogg0PD0vvHvv0WLaqh7rTidS9izr9lGWsdBbZv6hLM3WPIYVzs9lEqVSSvzuO\\\n",
       "AwCoVqsiBhlAw1JdCu9qtYpSqSRCjuWew8PDWL58OYaHhxEMBlEoFESgeZ6HgYEBLF26FMPDw1KG\\\n",
       "ymRXOr1MIWVabKfTkR5EhsToElpdVqvHeVD8062czU00pmOC0DCMhYIJQsMwjHlMOp1Gp9OR2XrV\\\n",
       "alUCZfgnv+RTNNBRYuoo5+lxNp1Gu2kMi3EcB+l0GgCQTCaRzWaRSqVkyLnrutKjyPU4jjNtFEIk\\\n",
       "EhFRwrVRqKRSKWQyGaTTaRGbDIlhQirHUzBER4+Q0M6hTinlnxTRFLwUrHrmII/heIZ6vS7lthxp\\\n",
       "Ua/XJWmVJbUUhI1GA81mU8pqo9EoBgYGsGzZMuyyyy5SzhuPxyXYJRgMYnh4GEuWLMHAwAASiYQ4\\\n",
       "hCyt5WxE9loGAgGk02nkcjlUKhWUSiVJEOWMRjqjeqxGvV6X/dNOqjE3TBAahrFQMEFoGIYxj6Hb\\\n",
       "02q1UKvVAEBEFkUO3bByuYxCoYBKpYJWqyXli0NDQ1i0aJGINH/5Jf/O3r5MJoNkMimppBRtsVgM\\\n",
       "7XZbQmiCwSCKxSICgQByuRxyuRzS6TQSiYSUmHY6nWlfrOnU6aAcilqKIL6eSCT6htkzqIbz/vQo\\\n",
       "CLqeTNjkuAhgoyPKsJZ0Oo1gMCjzATmaodFo9CWS0i2liO52u+I66ntjPyRnOi5duhRDQ0Miqnk+\\\n",
       "Orq5XA6Dg4MyKoJOLfeU6+A9MbCH++p5nqSbUpzHYjF0u11Uq1Xk83kUCgURltw/ADZ2YgswQWgY\\\n",
       "xkLBBKFhGMY8ZnJyUspAOdidjhCDUjzPQ7FYxPj4OCYnJ1EsFtFoNGT2XLlcRrPZRKvVkhEVFIW6\\\n",
       "pJJuI/vM6PwxAIXP87hoNIpisQjP85DNZjE0NNQXasN+R5ZWcnRCJBIRoaVLHSn0WH7J5FQKHooa\\\n",
       "lk1y3h9LOSkI6bZxbezLy2azIow9z0OhUOgLmqHQY1kqgL6/c794PYpW7kkmk8GiRYswPDwsYq/X\\\n",
       "68FxHAwMDMj9uK6LZDIpfYvcf5Z38jmWtQKQklXeH38XmA7rOA7a7TaKxSImJiZQLBbR6/WQSqVE\\\n",
       "uNKlNOaGCULDMBYKJggNwzDmMWNjY9P6wjjbr91uw3Vd9Ho9lEolTE5OIp/Po1qtSuAL0z0ponK5\\\n",
       "nJQuEh1O4hckFD56BiL/nkgkUK1WJXwmnU4jHo+LaGFi6OTkpIjVSqUiYxBKpZKEuAQCARngTic0\\\n",
       "mUwinU5LDxzLPOmYsgRSl85SIJVKJSkz7XQ6UjrLclaKz0KhIPvL++f9MqGVe8lyU6ao0t0LhUIy\\\n",
       "y5CjHSj26M4xTTUSiUybt8gH0ampvEf2hOognGq1Kj2QsVgMnU4H5XJZfgeAjb2Qur/SUkbnjglC\\\n",
       "wzAWCiYIDcMw5jGFQqHPRWP5IV3DaDSKbreLWq0mDlyr1ZJwFTpuLCstFosyhJ0JonSf6I7RsdI9\\\n",
       "fHxNC8J4PC4z/ijMKOzo0k1NTWFsbAyjo6OYnJyUPj0G0TB1E4C4euyRYw8ke/4okthryLAZOnVc\\\n",
       "O/sQAciA+XQ6Lb2UruuKq8a10G1jiE4qlUI4HJagF84W1KKPe0dB6jiO9P7phFQAfWJah7v43VE+\\\n",
       "CO+HgT+1Wk1KXT3Pk/EY0WhUSkkpFIH+kJ1WqyWptDs6hx56KFavXg0AfWKa7Az3aBiG8XxhgtAw\\\n",
       "DGMe02g0AGxyK+gWse/N8zxxzCgEKW4oJBuNhgijSqUC13WxePFiZLNZETMUKjrMRYtD3cNH8cje\\\n",
       "Ngo0ljIyCbVQKGByclKcy1KpJL2NFEuVSkX6BCl0KAYZ1ELhpcdGcG10MOkQ6uRUjsZoNptIpVJS\\\n",
       "9krxxPulUAuFQtJnODQ0BMdxpKS00+mI08cRDno+I/eDrh8TXvWYC/0ANgkZur3cOy3mGGBTr9dR\\\n",
       "rVZRq9XkOJbk1mo1+Xy4R/zHA44P4e+MDaafO+YQGoaxUDBBaBiGMY+h++Z36nTppC6f1KmjPIbz\\\n",
       "+BiKogUEXS1dIuqfXagdQ/0lmX+yjLFarUrCZbFYlAfLQCliKNparZa4WwDkXoLBINLptATmaDFM\\\n",
       "uF4taPW+6LAZhvAEg0G5rr/klEKRSansh2SaJ0NfuF/safSvTY/A4M/8cyaBweMpXJkmy33lfWix\\\n",
       "SAHe7Xb73GOKWl0qy3EiFIQc+2E8MyYIDcNYKJggNAzDmMdQiDFwhMJGh7IAEFETj8elD7DVaqFe\\\n",
       "r0sJpx6xUCgU4DiO9MKRmRxBLQTpgLEElaMSKP7K5bIEyFQqFRGCFGBcM10xDqrXc/UoSrl23rcW\\\n",
       "uEC/WNZ9ciyfrVQqMiOQz5dKJXEO6ViyVDQejyMej4vocxwH3W4X4XBY+gnpRmox6B/doT8Xv3j2\\\n",
       "w/dpcc+wHF2KqwUgz6eH1PvLVenYUkDyniuVyjb4Ld05MUFoGMZCwQShYRjGPIYlhuxRi8Vi8kWV\\\n",
       "A+QDgQBisRjS6TSy2SySySQ8z5OyTYogikIKsWKxKDMCE4mECMRkMik/67AWPQdQl4VOTU2hUCig\\\n",
       "XC5LWWOtVhO3i06V7vWiK8bEVEKBxfMzKTQcDvfNHtTpolwjRWqlUkGlUpF75igJADKbj2MlarWa\\\n",
       "uH+6T5FiSgfO+B1SAH3ilvtLN5D3w/3jfevXKSC160dxqwNndHiO7kNkaikdVYrHRqMh90pBzvmU\\\n",
       "xtwwQWgYxkLBBKFhGMY8RjuEdIG0SKEoSqVSGB4exqJFi5BMJtHtdpHP5+VYumr84krHbGpqSkZB\\\n",
       "RKNRJBIJCU5hCAvnDuoZfzo9lKmWdCJZ5sjB9ACmiUE+RxeMa9Ois16vI5/Po16vS5mpLpPU/Yw8\\\n",
       "L4UQk1i5DjpwFI76XHREuVfVahXhcFjup91uIxgMIh6Pyz6yf5AhPxTBFF06QIbBNTyXLh/VIUFa\\\n",
       "DPp/B6LRqKSuptNpOZYjLfR8xUajIU6t3lO6tMbcMEFoGMZCwQShYRjGPIbiSpcrUlRQZOnet8HB\\\n",
       "QcTjcTSbTTSbTSm3pODRyaGdTkfcNIqUWCyGVCqFoaEhtFotcaZYIklBWK1WUSgUUCgUJAiGohKA\\\n",
       "9Orp3jftovkFEO+RpbEse2VfIssqtSAENjlw/rROLQZjsZj00unQFQCyZgo2pnbSWaTDGQqF4Lqu\\\n",
       "CF6GytDNLJfLKBQKqNfr8plQwGvxqK9NR5K9nX4xyHtkXyCwqa/QcRxJUx0cHMTw8LAIwlqtNmN6\\\n",
       "bCgUktRRwzAMwyAmCA3DMOYxnU6nL9zFX6JIhysWiyGRSEhPIAWGLlFk/yGFpT+hlImWTKZ0HEfG\\\n",
       "NOjkUi3oKCLZe0fxA2x0pBg2w35A3SenSyw5fJ73oMWWfq9fEPrhPevB7nQFeb8cWcFUTopeOn0U\\\n",
       "yhSJvV5Pehr1aIh4PC6OXLVald5J9h1yX9hzSDdQX59inWsH0Le3AETUchRGLBZDNptFu91GOBxG\\\n",
       "Op1GLpeD67oIBoNIJBIi4pnSGovFpI/QmBvmEBqGsVAwQWgYhjGPmam3jQKJaZRaAGnHicfRFeIw\\\n",
       "ebpbdPooeihWwuGwjLDQA9EpSCneUqmUXF8H2mjxQ0GoewqZqKn7CznSgb1wFKZTU1NyDxSQM5VV\\\n",
       "zgRdQ96XP5RGh+boPeaoD0LByGu3222Z6ReNRvtmCNIR5fvoQNJh1U6nDrNJJBIigimku92uzFNk\\\n",
       "r6DjODIao9lswvM8KfVlqAyvR4GdSqUk4Ie/M8YzY4LQMIyFgglCwzCMeUw2mxUhFwwGJdmT/WrB\\\n",
       "YLBvDiAdIM70064QS0t5zmq1Oq2Mkb1ydBrp0lHM0NGiG5VOp+XcFCJ05FqtlogdOnxaPNEppDMZ\\\n",
       "j8eRyWSQTCYRCARQKpXQ6/WkP0/33/nx9yrqXkQ974/3SnFLMUg3ke4d94MCKxAIiACjQ9tqtSTI\\\n",
       "hUKZoy0oYjnyQruEfD/DclKplNyX53loNpsoFouo1+uIRCJSvsrPz3EcKV+l0NV9mBTlsVgMyWRS\\\n",
       "wnP0SAvjmTFBaBjGQsEEoWEYxjxmxYoV8sW02Wz2BZ1Q7NA1rFQqiEaj6PV6MgKCJZCRSATxeFxC\\\n",
       "Sfg+Ch4A0m/IQJlYLCbjGer1OuLxuLhUHPKu3UkdPEMxpEtC4/F4X3KmFlYcN8ESVZ6TaajValVm\\\n",
       "GAKbegf1GAxdIqsFohZ5/rRTii3tEM5UduoP49HnicfjANDXa8lRD+w/ZNkmy1TplFJoU0gHAgHU\\\n",
       "63WUy2WUy2UR/PocfESjUfmd0I6u4ziIRCISROS67rSRFjs6d911F2699VYA206MmSA0DGOhENze\\\n",
       "CzAMY37Sbrfx4Q9/GPvssw+SySSWLl2Kk046CU8//fQzvvdf/uVfsNtuu8FxHBxyyCH4zW9+0/d6\\\n",
       "o9HAWWedhcHBQbiuize96U3YsGHDtrqVHZq99toLL3rRi7Bs2TJks1lxq/wlorVaDfl8HuPj49iw\\\n",
       "YQMmJyf75uzRLUomkyLkKCp1SunSpUuxePFiZLNZBAIBVCoVjI+PY/369RgfH0e5XBaBwhEVyWSy\\\n",
       "r1yUwsrvyNHlSiQSMiKDjqB2z+iqxeNxpFIpSTrlyAUGttB95PXZw6hnKFLc6bVQzPF5Oqx8Ddgk\\\n",
       "OP3BLDpYp16v9yWaApgmilkeS8GmBSdLakulEvL5vIwIYWIrRX6hUMDExATGx8dRKpXQaDTE3QQg\\\n",
       "qa88B8UzRaTep2Qyud1+l3c09KzHuTwMwzB2VMwhNAxjRmq1Gu6//35ccMEF+Lu/+zvk83mcffbZ\\\n",
       "eMMb3oDf/va3s77vhhtuwJo1a3D11VfjkEMOweWXX47Vq1fjkUcewaJFiwAAH/zgB3HzzTfjxhtv\\\n",
       "RCaTwfve9z688Y1vxK9+9avn6/Z2GJYtW4ZutysDxTlOoNlsSnmi53kyoqHRaKDb7aJaraLZbIoo\\\n",
       "SKfTyGQy4mZxoHyr1UIsFpNZdul0WnrZKFZqtZo4lBSWDFQB+ufl8aETP/UoCi1mAcgxlUpFUkmB\\\n",
       "jaWyLE1Np9Mol8tS7sjePB3IQnFLJ0z3ChK6iVwzhap2+/S8RaaxUgzq13Q/J4UjQ294PopNLYbp\\\n",
       "EPI1pq9SZEYikT4nj+M3isWiCLtYLCbr4bzGqakptFot6Wnk58BkUfZsWqiMYRiG4ccEoWEYM5LJ\\\n",
       "ZKQki1x55ZU4+OCD8cQTT+AFL3jBjO+77LLLcPrpp+PUU08FAFx99dW4+eab8fWvfx0f+chHUCwW\\\n",
       "ce211+L666/Hq171KgDAddddh5e85CX49a9/jUMPPXTb3tgOhuM4Ih44mJ5OmQ5XoRjS7hzDUCgk\\\n",
       "HMdBKBSSHjcKGPadcSB9KBSS1xkKEwwG4ThOX9Kndto0flFIZ4zCSpd0ct0UsL1ery/4hmWPLGfV\\\n",
       "Q+L1jD+WabIf0T93kdcFMOt6ebxOJ9Ui1u8C6ZRWCi+9N9pxnKmkVTuXFJYs+dXrp1hsNBrSC8jy\\\n",
       "U5aM0qnsdDqIxWLyWQeDQQm7sR7CLcNKRg3DWCiYIDQMY84Ui0UEAgFks9kZX2+1Wrjvvvtw3nnn\\\n",
       "yXPBYBBHH3007r77bgDAfffdh3a7jaOPPlqO2WuvvfCCF7wAd999twlCHyzv7PV64palUikpBdWi\\\n",
       "jm4URU0kEkEymUQul0M2m4XrugA2luzS+aOocl0X2WwW8Xgc7XYbzWYThUKhb3B9LBaTHkZ/QAzL\\\n",
       "PHXJaKfTERHDJFE6i5zL12g0UCwWMTExgWq1ing8jkAgAMdxkM1m4TiOOJd0EfWMQY5Y4DoAyLV1\\\n",
       "byMFoU4r1cJMj+dgual2A/0C0z8/kG6tdvwo5AGI+0eXUie46tJSHT6jh9dznyiMmQbLUuFCoYBG\\\n",
       "o9EnKDlfkqWn5XJZ5iQaz4wJQsMwFgomCA3DmBONRgMf/vCHccIJJ0iypJ+JiQl0u12MjIz0PT8y\\\n",
       "MoI//elPAIDR0VFEo9FponJkZASjo6OzXp8lb6RUKm3lnexYsJeNYwcGBwcl9ZMD24FNw8vZ70bx\\\n",
       "xVLRRCKBQCAgA+W1QJvpmPHxcYyOjiKfz6PT6SCZTIqQajQayOfzIkY4sy+dTmNgYACu60rJ6eTk\\\n",
       "JCYmJtButxGNRqV3MJ1OIxAISGjMxMQEyuWy9EjqvrdMJiM9cuVyWUZgxONxDAwMIJFIiPikI9Zs\\\n",
       "NiVpM5VKSe8cy2ApLikGKRQZ7qKTUrm/3Fd9DMUcAAnJ0SEvdEfpQHLtflHNoBmWwkYikb4+yFar\\\n",
       "hWKxKG7i+Pi4OKZ0DRmQw30HNv7vplKpTEucNeaGCT3DMBYCJggNwwAAfOc738G73/1u+fnHP/4x\\\n",
       "XvGKVwDY+CX2LW95CzzPw1e+8pXtsr5LL70UF110Ud9zF1544XZZy/MJXSz2zSUSCWQyGXieh2Qy\\\n",
       "2TfgnAJCD6t3XReu64pzpHsGO52OuI56yHqlUkGxWESlUhGRxR44zuPTYTOlUgmhUAgDAwNybbp2\\\n",
       "7G+rVquIRCKSeup5HmKxmDhowKaRDxQwjUYD8Xh8WqiLdgcpLimMarUaCoWClMu6rovh4WHkcjmE\\\n",
       "QiEUi8W+UR0zCUI6Qyxn1fvPUBu939xzCkLtEurSWY6t8Pct+s/B/WaPJn8PeI8ARPDyM9XjJyj6\\\n",
       "mHRaq9XE2fX3VRqz83w6hENDQ5icnITjOObiGobxvGOC0DAMAMAb3vAGHHLIIfLzsmXLAGwSg3/9\\\n",
       "619x++23z+oOAhu/1IRCoWmJoRs2bMDixYsBAIsXL0ar1UKhUOhzCfUxM3HeeedhzZo18nOpVMI1\\\n",
       "11yzRfe4I6LDRViWmU6nRQxooQZs6smjW8SeQwbFdLtdpNNpLFq0SPr1MpmMDEDXjlKj0UCv15Ph\\\n",
       "6XTagsEgqtUqpqamMD4+jmKxKGEpHC4PbApeoQsIQEJvAoEAMplM3/mZjsmS1lKpJOum8I1GowgG\\\n",
       "g0gmk8hms8jlckin01KSmc/nxSmlIBwcHMSiRYvEEW2326hWqzIWgiWWFIR677kHFJjRaFT2VAtw\\\n",
       "LSz50IJPh8xQ6Ol+RT0HUgtBLTR0mSqFN6/pH6fBvW80GiIGd4ZxE88nz5cgfNe73iWOrmEYxvbA\\\n",
       "BKFhGAAg8f4aisHHHnsMd9xxBwYHBzd7jmg0igMOOAC33XYbjjvuOAAbv5jedttteN/73gcAOOCA\\\n",
       "AxCJRHDbbbfhTW96EwDgkUcewRNPPIFVq1bNem7OXlto6OHxdJ24FxQokUhExAEFHcUVXSGKD8dx\\\n",
       "5HNmr14ikUAkEkGj0ZDB93qGXjKZxMDAAIaGhpBKpeRaOuSEpYosXdRJmHSxOEgdgIg2zjbM5XIi\\\n",
       "1LrdLkqlEsbGxqS0lY6Y67oIBoPIZrPiDnLOHstIKYDZG8mSWPbwMbGT5wU2ObHcK8/zpK9PD6ln\\\n",
       "CAwF90x9iDqkhqKR+80/uTcU9rqHUTuEOtCGTjDvgwKT+6oFH++FYtZKH7ec50MQ/uEPf8C1116L\\\n",
       "f/zHf8SPf/zjrTqHYRjGs8UEoWEYM9Jut/HmN78Z999/P374wx+i2+1Kj9/AwIAMMz/qqKPwT//0\\\n",
       "TyL41qxZg5NPPhkHHnggDj74YFx++eWoVquSOprJZHDaaadhzZo1GBgYQDqdxvvf/36sWrXKAmVm\\\n",
       "oFgsypd7nRzqOI6kb7LMkeWGdOFqtVrfqAZ+ZnQZGRTD4BqOJWCvmQ53GR4exsDAAFKplPTBaTHE\\\n",
       "6/MBQBw9umlMxCyXyzIwPZFIiEANBoOYnJwUoTk6Oop6vS5BM+FwWIJmMpkMstmspKcyVCcejyMe\\\n",
       "j8uIDL7OMBbOTnQcR3oB/aJJ7zdFFZ/ng6E1WgzyHvigqNOzDRni409c1SLS7+TxXJwpyM+R6azs\\\n",
       "Y6SLrOcn6nXQSTS2HQ899FDfz0uWLMHy5ctnPf6AAw5APB7Hj370IxPthmFsN0wQGoYxI0899RT+\\\n",
       "67/+CwCw33779b12xx134MgjjwQA/PnPf8bExIS89ta3vhXj4+P4+Mc/jtHRUey333645ZZb+oJm\\\n",
       "vvjFLyIYDOJNb3oTms0mVq9ejauuumqb39OOSD6fl7JAz/MkXIZBMxRbwCbBEQwGJSWUwrDVakm5\\\n",
       "J103PdKBCZ0MOwE2urKZTAbDw8MYGhrqKy319/Xx+gD60jpZYqlFa7PZFDfR8zwRbXT1xsfH+3oP\\\n",
       "k8mk9EImk0mkUimk02kZTcHyUJaeMgCH7ifLTOnIseSTe8X70YExM7l9FIrAphJPlpvq3kl/D6Ce\\\n",
       "cch10iHVe6ZHUehkU4784H07joNer4dKpSJ9gnQKPc/r+2w5l7Be///bu//Yqso7juOf/rpt6W1v\\\n",
       "pbL+GNQSXWV2CAOha/hjizR2GQGLRI3RIhtT2Vo2rVkqWaBb3NaBBhFT9B+EhDBhJRLnNC6uzIqD\\\n",
       "Sko1zsGarrPVWNvCtD8C/UX77A9yzu49tPQXt/eW834lJ/E+9znnPM8BtZ9+z3lOL4vKTNBkKoTW\\\n",
       "L74sPp9PnZ2dI+6zaNEiXbp0SY2NjVMaJwBMFYEQwIiysrLG9cxRc3PzFW0lJSV2xXAkcXFxqqys\\\n",
       "VGVl5VSG6ArWbZNWddB6zYLX673iB1b/1ytYq1JeuHBBXV1dunjxov3S+aioKPs4zv2s21Kt2zln\\\n",
       "z55tV3L9q2pWgPKvhlmb/7v/rEVYrL7W6xasF8hbzxBaIc1agbO3t1cXLlyww2xkZKS8Xq8d+OLj\\\n",
       "4+138VljsUJQQkKChoaG7IpaTExMwDXyD2XWbaDWOK0xWAHPf8EX/9AmadTqoHVcK6j73wrqfzur\\\n",
       "FZKtPv7PGfpXYa3Xh8yePVspKSlKSEjQpUuX9N///le9vb3q7u4OeM7UurU0MTHRXvG1p6fH/uUC\\\n",
       "xmcygXDfvn3Kycmx29PT00fsv3fvXn300UcqLS1VVlbWlMcKAFNBIASAMGYFQiukWa+AsH74d7J+\\\n",
       "MLUWc+ns7FRUVJT9YvO4uDj7PXbWSp3WLaNWGPEPIcnJyfL5fPYzd9YPyc7bIkcKhFbF0lkN81+A\\\n",
       "xXqHn/+4enp69OWXX9rPHlrj9w87/q/Y8H/uzuPxaNasWRoaGpLH47FDrBWuJF1xDGsFUSuYWmP0\\\n",
       "H7OTs3roPwYrnPpXCP1vF/Wv7PqPy7oW/seXZK8Ka926O2vWLHtlUWsRHWt/aywej0eJiYm64YYb\\\n",
       "7PlZK6BifCYTCHNycrRs2bIx+1sLYu3cuVM7d+60261XyvT09NjvDQWAYCMQAkAY6+7utgOUFSb8\\\n",
       "nxcbifXDqfWqA0l2cLOqYdYiMtaiM/4Lm0iyn1OMj4+3w5r/AidWABopHPoHQv9+/pyByjqG9Wyk\\\n",
       "dZunVYVzvqLB/1m9kRZescLdSMHMuXCLdX2swGYFz5HGPRr/Y/rfTusMjP5B1v/4/rel+l9X68/C\\\n",
       "CroJCQlKSEhQf3+//efivyqpdS2tBYSs24uthX78V1HF1QVzUZnKykodPnw4oG3Hjh2KiorSk08+\\\n",
       "SRgEMK34PwMAhLH9+/eHegiAKwUzEC5ZskRLliwJaNuxY4diYmK0ffv2CR0LAKYqcuwuAAAAAIDr\\\n",
       "ERVCAAAAh+l6Mb1lPIt4AUAwEAgBAAAcpjsQAkCoEAgBAAAcCIQA3IJACAAA4EAgBOAWBEIAAAAH\\\n",
       "AiEAt2CVUQAAAABwKSqEAAAADlQIAbgFgRAAAMCBQAjALQiEAAAADgRCAG5BIAQAAHAgEAJwCwIh\\\n",
       "AADACAh6ANyAVUYBAAAAwKWoEAIAADhwyygAtyAQAgAAOBAIAbgFgRAAAMCBQAjALQiEAAAADgRC\\\n",
       "AG5BIAQAAHAgEAJwCwIhAACAA4EQgFvw2gkAAAAAcCkqhAAAAA5UCAG4BYEQAADAgUAIwC0IhAAA\\\n",
       "AA4EQgBuQSAEAABwIBACcAsCIQAAgAOBEIBbsMooAAAAALgUFUIAAAAHKoQA3IJACAAA4EAgBOAW\\\n",
       "BEIAAAAHAiEAtyAQAgAAOBAIAbgFgRAAAMCBQAjALVhlFAAAAABcigohAACAAxVCAG5BIAQAABgB\\\n",
       "QQ+AGxAIAQAAHKgQAnALAiEAAIADgRCAWxAIAQAAHAiEANyCQAgAAOBAIATgFrx2AgAAAABcigoh\\\n",
       "AACAAxVCAG5BIAQAAHAgEAJwCwIhAACAA4EQgFsQCAEAABwIhADcgkAIAADgQCAE4BasMgoAAAAA\\\n",
       "LkUgBAAAcLAqhOPdJiIlJSVg36ioKD399NNBmgkAXB2BEAAAwCGYgfCrr75Sdna2tmzZop///Ocy\\\n",
       "xmjbtm365z//GaTZAMDoeIYQAADAIZjPEA4PDwd8zs/P1+rVq1VeXq4jR45M6FgAMFUEQgDXtebm\\\n",
       "5lAPAcA1Nh3/Xk8mEDorfOnp6Zo7d+6Y+589e1aSdPPNN09wlAAwdQRCANe1xsZGNTY2hnoYAGaY\\\n",
       "yQTCH/7whwHtPp9PnZ2dV923r69PZWVlkqTt27dPfKAAMEUEQgAAgGtg3759ysnJsT+np6ePuY/P\\\n",
       "55MxRvv27Qvm0ABgVARCAAAAh8lUCHNycrRs2bJxnyMuLk4DAwPavXu3NmzYMJlhAsCUscoogHHZ\\\n",
       "tGmTIiIitGvXrjH7VlZWKisrS3FxccrNzdWpU6cCvu/r61NxcbFSUlLk9Xq1bt06tbe3B2nkADBx\\\n",
       "wVxl9NKlS4qLi1N/f78qKiq0efPmIM0CAMZGIAQwpqNHj6q2tlYZGRlj9j18+LBKS0tVXl6u+vp6\\\n",
       "LVq0SAUFBero6LD7PPHEE3r99ddVVVWlmpoatba26p577gnmFABgQoIZCL1er/r7+7V27Vrdcsst\\\n",
       "OnLkiI4cOaJ///vfQZoNAIyOW0YBXNXnn3+uzZs36y9/+YtWrVo1Zv+dO3fqkUcesRdXeOmll/TG\\\n",
       "G2/o5Zdf1lNPPaWuri7t3btXf/jDH3TnnXdKuvzczTe/+U3V1tbqO9/5TlDnAwDjNdGgN179/f2S\\\n",
       "Lv+y7ejRo3Z7dna2GhoagnJOABgNFUIAoxoeHlZRUZF+8YtfBCyUMJqBgQGdPn1a+fn5dltkZKTy\\\n",
       "8/N18uRJSdLp06c1ODgY0GfBggXKzMy0+wBAqAWzQmiMGXEjDAIIBSqEAEa1fft2RUdH62c/+9m4\\\n",
       "+p8/f15DQ0NKTU0NaE9NTdW//vUvSVJbW5s8Ho+Sk5Ov6NPW1jbqsfv7++3fqktSd3f3OGcBAACA\\\n",
       "0VAhBCBJOnjwoLxer73V1NTo+eef1/79+4N229REVFRUyOfz2du8efNCPSQA17FgVggBIJwQCAFI\\\n",
       "ktasWaMPP/zQ3k6cOKGOjg5lZmYqOjpa0dHRamlp0ZNPPqmsrKwRj3HjjTcqKirqihVD29vblZaW\\\n",
       "JklKS0vTwMDAFS9r9u8zki1btqirq8vePvvssynNFwCuhkAIwC24ZRSAJCkxMVGJiYn250cffVSr\\\n",
       "V68O6FNQUKCioiJ7wRgnj8ejpUuXqrq6WoWFhZIuP4dYXV2tkpISSdLSpUsVExOj6upqrVu3TpLU\\\n",
       "0NCgTz/9VHl5eaOOLzY2VrGxsVOZIgCM22TeQwgAMxGBEMCIUlJSlJKSEtAWExOjtLQ03XrrrXbb\\\n",
       "ypUrtXbtWjvwlZaW6uGHH9Ydd9yh5cuXa9euXbpw4YIdIn0+nzZu3KjS0lLNnj1bSUlJ2rx5s/Ly\\\n",
       "8lhhFEDYIBACcAsCIYApaWpq0vnz5+3P999/v86dO6dt27apra1Nixcv1ltvvRWw0Mxzzz2nyMhI\\\n",
       "rVu3Tv39/SooKNCePXtCMXwAGBGBEIBbEAgBjFtzc/O42kpKSuyK4Uji4uJUWVmpysrKazg6ALh2\\\n",
       "CIQA3IJFZQAAAADApagQAgAAOFAhBOAWBEIAAAAHAiEAtyAQAgAAOBAIAbgFgRAAAMCBQAjALQiE\\\n",
       "AAAADgRCAG7BKqMAAAAA4FJUCAEAAByoEAJwCwIhAACAA4EQgFsQCAEAABwIhADcgkAIAADgQCAE\\\n",
       "4BYEQgAAAAcCIQC3YJVRAAAAAHApKoQAZiRjTKiHACDMTeW/Ez09PeOu/PX09Ez6PAAQagRCADNS\\\n",
       "T0+Pfv3rX4d6GADCWE9Pj3w+34T2mTNnjiRp3rx5Ez6ftS8AzCQRhl+zA5iBhoeH1draqsTERFc/\\\n",
       "v9Pd3a158+bps88+U1JSUqiHEzJch8u4DpcZY9TT06OMjAxFRk786Zjm5madO3duQvvMmTNHWVlZ\\\n",
       "Ez4XAIQagRAAZrDu7m75fD51dXW5OgBwHS7jOgAAJopFZQAAAADApQiEAAAAAOBSBEIAmMFiY2NV\\\n",
       "Xl6u2NjYUA8lpLgOl3EdAAATxTOEAAAAAOBSVAgBAAAAwKUIhAAAAADgUgRCAAAAAHApAiEAhJHB\\\n",
       "wUGVlZVp4cKFSkhIUEZGhtavX6/W1tYx962srFRWVpbi4uKUm5urU6dOBXzf19en4uJipaSkyOv1\\\n",
       "at26dWpvbw/WVKZkrLk4VVVVacGCBYqLi9PChQv15ptvBnxvjNG2bduUnp6u+Ph45efnq7GxMZhT\\\n",
       "mLKKigotW7ZMiYmJ+trXvqbCwkI1NDSMud/1eC0AAMFDIASAMHLx4kXV19dr69atqq+v16uvvqqG\\\n",
       "hgatWbPmqvsdPnxYpaWlKi8vV319vRYtWqSCggJ1dHTYfZ544gm9/vrrqqqqUk1NjVpbW3XPPfcE\\\n",
       "e0oTNp65+Dtx4oQeeOABbdy4UR988IEKCwtVWFiojz/+2O6zY8cO7d69Wy+99JLef/99JSQkqKCg\\\n",
       "QH19fdM1rQmrqalRcXGxamtr9fbbb2twcFB33XWXLly4MOo+1+u1AAAEkQEAhLVTp04ZSaalpWXU\\\n",
       "PsuXLzfFxcX256GhIZORkWEqKiqMMcZ0dnaamJgYU1VVZfc5e/askWROnjwZvMFPwlhzcbrvvvvM\\\n",
       "qlWrAtpyc3PNY489ZowxZnh42KSlpZlnnnnG/r6zs9PExsaaV155JQgzCI6Ojg4jydTU1Izaxy3X\\\n",
       "AgBw7VAhBIAw19XVpYiICCUnJ4/4/cDAgE6fPq38/Hy7LTIyUvn5+Tp58qQk6fTp0xocHAzos2DB\\\n",
       "AmVmZtp9wsF45uJ08uTJgP6SVFBQYPf/5JNP1NbWFtDH5/MpNzc3rOY+lq6uLknS7NmzR+3jlmsB\\\n",
       "ALh2CIQAEMb6+vpUVlamBx54QElJSSP2OX/+vIaGhpSamhrQnpqaqra2NklSW1ubPB7PFaHSv084\\\n",
       "GM9cnNra2sacu9U23mOGm+HhYT3++ONasWKFvvWtb43azw3XAgBwbREIASCEDh48KK/Xa2/Hjx+3\\\n",
       "vxscHNR9990nY4xefPHFEI4SoVZcXKyPP/5Yhw4dCvVQAADXmehQDwAA3GzNmjXKzc21P3/961+X\\\n",
       "9P8w2NLSomPHjo1aHZSkG2+8UVFRUVesGNre3q60tDRJUlpamgYGBtTZ2RlQJfTvEw7GMxentLS0\\\n",
       "MedutaWnpwf0Wbx48TUcfXCUlJToz3/+s959913NnTv3qn2v92sBALj2qBACQAglJibqlltusbf4\\\n",
       "+Hg7DDY2Nuqvf/2rUlJSrnoMj8ejpUuXqrq62m4bHh5WdXW18vLyJElLly5VTExMQJ+GhgZ9+umn\\\n",
       "dp9wMJ65OOXl5QX0l6S3337b7j9//nylpaUF9Onu7tb7778fVnN3MsaopKRER48e1bFjxzR//vwx\\\n",
       "97lerwUAIIhCvaoNAOD/BgYGzJo1a8zcuXPNhx9+aL744gt76+/vt/vdeeed5oUXXrA/Hzp0yMTG\\\n",
       "xpr9+/ebM2fOmEcffdQkJyebtrY2u8+mTZtMZmamOXbsmKmrqzN5eXkmLy9vWuc3HmPNpaioyDz1\\\n",
       "1FN2/7///e8mOjraPPvss+bs2bOmvLzcxMTEmH/84x92n9///vcmOTnZvPbaa+ajjz4yd999t5k/\\\n",
       "f77p7e2d9vmN109+8hPj8/nMO++8E/D34OLFi3Yft1wLAEDwEAgBIIx88sknRtKI29/+9je73003\\\n",
       "3WTKy8sD9n3hhRdMZmam8Xg8Zvny5aa2tjbg+97eXvPTn/7U3HDDDWbWrFlm7dq15osvvpiGWU3c\\\n",
       "1eby3e9+1zz88MMB/f/4xz+a7Oxs4/F4TE5OjnnjjTcCvh8eHjZbt241qampJjY21qxcudI0NDRM\\\n",
       "x1QmbbS/B/v27bP7uOVaAACCJ8IYY0JTmwQAAAAAhBLPEAIAAACASxEIAQAAAMClCIQAAAAA4FIE\\\n",
       "QgAAAABwKQIhAAAAALgUgRAAAAAAXIpACAAAAAAuRSAEAAAAAJciEAIAZoS9e/fqrrvuCvp53nrr\\\n",
       "LS1evFjDw8NBPxcAAKFGIAQAhL2+vj5t3bpV5eXlQT/X97//fcXExOjgwYNBPxcAAKFGIAQAhL0j\\\n",
       "R44oKSlJK1asmJbzbdiwQbt3756WcwEAEEoEQgDAtDl37pzS0tL0u9/9zm47ceKEPB6PqqurR93v\\\n",
       "0KFDWr16dUDb9773PT3++OMBbYWFhdqwYYP9OSsrS7/5zW+0fv16eb1e3XTTTfrTn/6kc+fO6e67\\\n",
       "75bX69Xtt9+uurq6gOOsXr1adXV1ampqmvxkAQCYAQiEAIBpM2fOHL388sv61a9+pbq6OvX09Kio\\\n",
       "qEglJSVauXLlqPu99957uuOOOyZ1zueee04rVqzQBx98oFWrVqmoqEjr16/XQw89pPr6et18881a\\\n",
       "v369jDH2PpmZmUpNTdXx48cndU4AAGYKAiEAYFr94Ac/0COPPKIHH3xQmzZtUkJCgioqKkbt39nZ\\\n",
       "qa6uLmVkZEz6fI899pi+8Y1vaNu2beru7tayZct07733Kjs7W2VlZTp79qza29sD9svIyFBLS8uk\\\n",
       "zgkAwExBIAQATLtnn31Wly5dUlVVlQ4ePKjY2NhR+/b29kqS4uLiJnWu22+/3f7n1NRUSdLChQuv\\\n",
       "aOvo6AjYLz4+XhcvXpzUOQEAmCkIhACAadfU1KTW1lYNDw+rubn5qn1TUlIUERGhr776aszjDg0N\\\n",
       "XdEWExNj/3NERMSobc7XTHz55ZeaM2fOmOcEAGAmIxACAKbVwMCAHnroId1///16+umn9eMf//iK\\\n",
       "6pw/j8ej2267TWfOnLniO+dtnv/5z3+uyRj7+vrU1NSkb3/729fkeAAAhCsCIQBgWv3yl79UV1eX\\\n",
       "du/erbKyMmVnZ+tHP/rRVfcpKCjQe++9d0X7a6+9pldffVVNTU367W9/qzNnzqilpUWff/75lMZY\\\n",
       "W1ur2NhY5eXlTek4AACEOwIhAGDavPPOO9q1a5cOHDigpKQkRUZG6sCBAzp+/LhefPHFUffbuHGj\\\n",
       "3nzzTXV1dQW0r1q1Sjt27NBtt92md999V3v27NGpU6d04MCBKY3zlVde0YMPPqhZs2ZN6TgAAIS7\\\n",
       "COO/zjYAAGHq3nvv1ZIlS7RlyxZJl99DuHjxYu3ateuanuf8+fO69dZbVVdXp/nz51/TYwMAEG6o\\\n",
       "EAIAZoRnnnlGXq836Odpbm7Wnj17CIMAAFegQggAmJGCVSEEAMBNCIQAAAAA4FLcMgoAAAAALkUg\\\n",
       "BAAAAACXIhACAAAAgEsRCAEAAADApQiEAAAAAOBSBEIAAAAAcCkCIQAAAAC4FIEQAAAAAFyKQAgA\\\n",
       "AAAALkUgBAAAAACXIhACAAAAgEsRCAEAAADApQiEAAAAAOBSBEIAAAAAcKn/ATV9hOm00MEIAAAA\\\n",
       "AElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[3] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA0e1JREFUeJzsvXmYXHWV//+u9da+L92dXkkCYcsQ2QYEIoqGrygwKo4ogsq4\\\n",
       "IC6IyoiyCKK4fFHwyyA/ZUYUZRlmxjAODsoqsogIyAyrQLbeat9v7VX390eec/KpSid0EkI69Hk9\\\n",
       "Tz1J37p17+fe22i98z7nvE2GYRgQBEEQBEEQBEEQFh3mPb0AQRAEQRAEQRAEYc8gglAQBEEQBEEQ\\\n",
       "BGGRIoJQEARBEARBEARhkSKCUBAEQRAEQRAEYZEiglAQBEEQBEEQBGGRIoJQEARBEARBEARhkSKC\\\n",
       "UBAEQRAEQRAEYZEiglAQBEEQBEEQBGGRIoJQEARBEARBEARhkSKCUBAEQRAEQRAEYZEiglAQBEEQ\\\n",
       "BEEQBGGRIoJQEARBEARBEARhkSKCUBAEQRAEQRAEYZEiglAQBEEQBEEQBGGRIoJQEARB2CkeeOAB\\\n",
       "mEwmPPDAA3t6KcJrzJ/+9CfY7XZs3LjxdT93NpuF2+3Gb37zm9f93IIgCIsREYSCIAjCdrnuuutw\\\n",
       "44037ull7BQ333wzrr766j29DABAt9vFd7/7XUxMTMDhcGDlypW45ZZb5v35QqGAT3ziE4hGo3C7\\\n",
       "3Tj++OPx5JNPbrXfbbfdhjPOOAPLly+HyWTCW97ylh1e69e+9jWcfvrpGBsb2+HP7irhcBj/8A//\\\n",
       "gIsvvvh1P7cgCMJixGQYhrGnFyEIgiAsXA466CBEIpGtnMBut4tmswm73Q6zeWH+++K73vUuPPPM\\\n",
       "M9iwYcOeXgouvPBCfPvb38bHP/5xHH744bjjjjtw55134pZbbsEHPvCB7X622+3i2GOPxdNPP40v\\\n",
       "f/nLiEQiuO666zA5OYknnngCy5cv533f8pa34IknnsDhhx+Ov/zlL1i5cuUOubh/+ctfsGrVKjzy\\\n",
       "yCM46qijdvZyd4nnn38eBxxwAO6991689a1v3SNrEARBWCyIIBQEQZgHuq7D7Xbv6WXsEbYlCPcG\\\n",
       "FoognJ6exsTEBD7xiU/g2muvBQAYhoHVq1dj/fr12LBhAywWyzY//6//+q/4+7//e9x+++143/ve\\\n",
       "BwBIp9PYd9998X/+z//BzTffzPtOTk5iyZIlMJvNO/XsPv/5z2Pt2rXYsGEDTCbTzl3wa8DBBx+M\\\n",
       "VatW4ec///keW4MgCMJiYGH+k64gCMJuZHp6GmeffTaGhoagaRomJiZwzjnnoNlsAgBuvPFGmEwm\\\n",
       "/P73v8enP/1pxGIxDA8P8+evu+46HHjggdA0DUNDQzj33HNRKBR6zvHSSy/hve99LwYGBuBwODA8\\\n",
       "PIwPfOADKBaLvM/dd9+NY445BoFAAB6PB/vttx+++tWvvur65/O5RqOBSy+9FMuWLYOmaRgZGcEF\\\n",
       "F1yARqOx1fF+8Ytf4IgjjoDL5UIwGMRxxx2H3/3udwCA8fFxPPvss/j9738Pk8nUU4K4rR7C22+/\\\n",
       "HYceeiicTicikQjOOOMMTE9P9+zzkY98BB6PB9PT0zj11FPh8XgQjUbxpS99CZ1O51XvwR133IGT\\\n",
       "TjqJn+HSpUvxjW98o+ezb3nLW3DnnXdi48aNvPbx8fFtHvMjH/kI79f/+vrXv/6qa3q19bZaLXz6\\\n",
       "05/mbSaTCeeccw6mpqbw6KOPbvfz//Zv/4Z4PI73vOc9vC0ajeL9738/7rjjjp7nOjIyskuO7dq1\\\n",
       "a/HWt751KzG4rfswPj6Oj3zkI/wz/ffz0EMP4XOf+xyi0SgCgQA++clPotlsolAo4Mwzz0QwGEQw\\\n",
       "GMQFF1yAuf5t+u1vfzt+/etfz/meIAiC8Nph3dMLEARBeD2ZmZnBEUccwf1YK1aswPT0NP7t3/4N\\\n",
       "1WoVdrud9/30pz+NaDSKSy65BLquAwC+/vWv47LLLsMJJ5yAc845By+++CJ+9KMf4fHHH8fDDz8M\\\n",
       "m82GZrOJNWvWoNFo4LOf/SwGBgYwPT2N//qv/0KhUIDf78ezzz6Ld73rXVi5ciUuv/xyaJqGl19+\\\n",
       "GQ8//PB21z+fz3W7XZx88sl46KGH8IlPfAL7778//vd//xc/+MEP8Ne//hVr167lfS+77DJ8/etf\\\n",
       "x9FHH43LL78cdrsdjz32GO677z684x3vwNVXX43Pfvaz8Hg8+NrXvgYAiMfj21zfjTfeiI9+9KM4\\\n",
       "/PDDceWVVyKZTOKaa67Bww8/jKeeegqBQID37XQ6WLNmDY488kj83//7f3HPPffgqquuwtKlS3HO\\\n",
       "Oeds9z7ceOON8Hg8OP/88+HxeHDffffhkksuQalUwve+9z0Am/vgisUipqam8IMf/AAA4PF4tnnM\\\n",
       "T37ykzjhhBN6tt1111345S9/iVgsxtsymcx210Z4vV5omgYAeOqpp+B2u7H//vv37HPEEUfw+8cc\\\n",
       "c8w2j/XUU0/hTW9601ZC74gjjsCPf/xj/PWvf8XBBx88r3Vtj+npaWzatAlvetObdvlY9Lt/2WWX\\\n",
       "4Y9//CN+/OMfIxAI4JFHHsHo6Ci+9a1v4Te/+Q2+973v4aCDDsKZZ57Z8/lDDz0UP/jBD/Dss8/i\\\n",
       "oIMO2uX1CIIgCNvAEARBWESceeaZhtlsNh5//PGt3ut2u4ZhGMZPf/pTA4BxzDHHGO12m99PpVKG\\\n",
       "3W433vGOdxidToe3X3vttQYA41/+5V8MwzCMp556ygBg3H777dtcxw9+8AMDgJFOp3do/fP53E03\\\n",
       "3WSYzWbjD3/4Q8/266+/3gBgPPzww4ZhGMZLL71kmM1m4+/+7u96rscwttwLwzCMAw880Fi9evVW\\\n",
       "57n//vsNAMb9999vGIZhNJtNIxaLGQcddJBRq9V4v//6r/8yABiXXHIJbzvrrLMMAMbll1/ec8xV\\\n",
       "q1YZhx566PZvgmEY1Wp1q22f/OQnDZfLZdTrdd520kknGWNjY696vLl46aWXDL/fb7z97W/v+T0A\\\n",
       "MK/XT3/605517LPPPludQ9d1A4Dxla98Zbtrcbvdxsc+9rGttt95550GAOOuu+6a83Pbenbb4p57\\\n",
       "7jEAGL/+9a+3eg+Acemll261fWxszDjrrLP4Z/rvZ82aNT2/R0cddZRhMpmMT33qU7yt3W4bw8PD\\\n",
       "c67xkUceMQAYt91227zXLwiCIOw4UjIqCMKiodvtYu3atXj3u9+Nww47bKv3+0vkPv7xj/f0dd1z\\\n",
       "zz1oNps477zzepyaj3/84/D5fLjzzjsBAH6/HwDw29/+FtVqdc61kFN2xx13oNvtzvsa5vO522+/\\\n",
       "Hfvvvz9WrFiBTCbDLxrOcf/99wPYXBrY7XZxySWXbOU87Uzv2J///GekUil8+tOfhsPh4O0nnXQS\\\n",
       "VqxYwfdH5VOf+lTPz8ceeyzWrVv3qudyOp3893K5jEwmg2OPPRbVahUvvPDCDq+9H13X8Xd/93cI\\\n",
       "BoO45ZZben4P7r777nm91qxZw5+p1WrsFqrQfarVattdz65+fr5ks1kAQDAY3OVjnX322T2/R0ce\\\n",
       "eSQMw8DZZ5/N2ywWCw477LA5nzmtYb6OrCAIgrBzSMmoIAiLhnQ6jVKpNO/ys4mJiZ6fKZNtv/32\\\n",
       "69lut9uxzz778PsTExM4//zz8f3vfx+//OUvceyxx+Lkk0/GGWecwWLx7//+73HDDTfgH/7hH/CV\\\n",
       "r3wFb3vb2/Ce97wH73vf+7bb/zWfz7300kt4/vnnEY1G5zxGKpUCALzyyiswm8044IAD5nU/Xo1t\\\n",
       "3R8AWLFiBR566KGebQ6HY6s1BoNB5PP5Vz3Xs88+i4suugj33XcfSqVSz3tqn+bO8vGPfxyvvPIK\\\n",
       "HnnkEYTD4Z73+stK54PT6Zyzf7Ner/P7u/PzO4rxGvTtjY6O9vxMv/sjIyNbbZ/rmdMa9uRgG0EQ\\\n",
       "hMWACEJBEIRtsCtfsq+66ip85CMfwR133IHf/e53+NznPocrr7wSf/zjHzE8PAyn04kHH3wQ999/\\\n",
       "P+68807cdddduO222/DWt74Vv/vd77Y5cXI+n+t2uzj44IPx/e9/f85j9H8h31Nsb6rm9igUCli9\\\n",
       "ejV8Ph8uv/xyLF26FA6HA08++ST+8R//cYcc17m45pprcMstt+AXv/gFDjnkkK3eTyQS8zqO3+/n\\\n",
       "36HBwUHcf//9MAyjR+DMzs4CAIaGhrZ7rMHBQd5XZb6fny8kfucjyolticdtPd+5ts91DFpDJBKZ\\\n",
       "91oEQRCEHUdKRgVBWDREo1H4fD4888wzO/V5Cul+8cUXe7Y3m02sX79+qxDvgw8+GBdddBEefPBB\\\n",
       "/OEPf8D09DSuv/56ft9sNuNtb3sbvv/97+O5557DN7/5Tdx3331c0rktXu1zS5cuRS6Xw9ve9jac\\\n",
       "cMIJW73IwVu6dCm63S6ee+657Z5vvg7Ntu4PbXutQs4feOABZLNZ3Hjjjfj85z+Pd73rXTjhhBPm\\\n",
       "LHPcUXfpD3/4A770pS/hvPPOw4c+9KE59xkcHJzX67bbbuPPHHLIIahWq3j++ed7jvXYY4/x+9vj\\\n",
       "kEMOwZNPPrmV2H3sscfgcrmw77777tB1bosVK1YAANavXz/n++Vyeatt5Di/1tAa+gfxCIIgCK8t\\\n",
       "IggFQVg0mM1mnHrqqfj1r3+NP//5z1u9/2plcieccALsdjt++MMf9uz7z//8zygWizjppJMAAKVS\\\n",
       "Ce12u+ezBx98MMxmM5f95XK5rY5PomCu0kBiPp97//vfj+npafzkJz/Zat9arcYTU0899VSYzWZc\\\n",
       "fvnlWwkN9frcbvdWsRpzcdhhhyEWi+H666/vuYb//u//xvPPP8/3Z1chh0ldY7PZxHXXXbfVvm63\\\n",
       "e94lpLOzs3j/+9+PY445hieVzsXO9BCecsopsNlsPWs0DAPXX389lixZgqOPPrpnHS+88AJarRZv\\\n",
       "e9/73odkMon/+I//4G2ZTAa333473v3ud8/ZX7gzLFmyBCMjI3P+9wFgq4iR//7v/0a9Xt8t0RBP\\\n",
       "PPEE/H4/DjzwwNf82IIgCMIWpGRUEIRFxbe+9S387ne/w+rVqzmSYXZ2FrfffjseeuihnliEfqLR\\\n",
       "KC688EJcdtllOPHEE3HyySfjxRdfxHXXXYfDDz8cZ5xxBgDgvvvuw2c+8xmcdtpp2HfffdFut3HT\\\n",
       "TTfBYrHgve99LwDg8ssvx4MPPoiTTjoJY2NjSKVSuO666zA8PLzd+IH5fO7DH/4w/vVf/xWf+tSn\\\n",
       "cP/99+PNb34zOp0OXnjhBfzrv/4rfvvb3+Kwww7DsmXL8LWvfQ3f+MY3cOyxx+I973kPNE3D448/\\\n",
       "jqGhIVx55ZUANo///9GPfoQrrrgCy5YtQywW4wE1KjabDd/5znfw0Y9+FKtXr8bpp5/OsRPj4+P4\\\n",
       "whe+sLOPrYejjz4awWAQZ511Fj73uc/BZDLhpptumlOUHHroobjttttw/vnn4/DDD4fH48G73/3u\\\n",
       "OY/7uc99Dul0GhdccAFuvfXWnvdWrlyJlStXAti5HsLh4WGcd955+N73vodWq4XDDz8ca9euxR/+\\\n",
       "8Af88pe/7CmjvPDCC/Gzn/0M69ev59zE973vffjbv/1bfPSjH8Vzzz2HSCSC6667Dp1OB5dddlnP\\\n",
       "uR588EE8+OCDADb3zeq6jiuuuAIAcNxxx+G4447b7lpPOeUU/OpXv9qqvBUAnn/+ebzzne/EySef\\\n",
       "jJmZGVxzzTXw+/145JFHcMstt+D000/f4XuzLe6++268+93vlh5CQRCE3c2eGG0qCIKwJ9m4caNx\\\n",
       "5plnGtFo1NA0zdhnn32Mc88912g0GoZhbBmbP1c0hWFsjplYsWKFYbPZjHg8bpxzzjlGPp/n99et\\\n",
       "W2d87GMfM5YuXWo4HA4jFAoZxx9/vHHPPffwPvfee69xyimnGENDQ4bdbjeGhoaM008/3fjrX/+6\\\n",
       "3bXP93PNZtP4zne+Yxx44IGGpmlGMBg0Dj30UOOyyy4zisViz77/8i//YqxatYr3W716tXH33Xfz\\\n",
       "+4lEwjjppJMMr9drAOCIgP7YCeK2227j44VCIeNDH/qQMTU11bPPWWedZbjd7q2u79JLLzXm839N\\\n",
       "Dz/8sPG3f/u3htPpNIaGhowLLrjA+O1vf7vVeiqVivHBD37QCAQCBoDtRlCsXr16mxESc8Ut7Cid\\\n",
       "Tsf41re+ZYyNjRl2u9048MADjV/84hdb7UeRHOvXr+/ZnsvljLPPPtsIh8OGy+UyVq9ePefvKN3D\\\n",
       "nb2OJ5980gCwVWwJAOP88883TjvtNMPpdBqDg4PGtddea1x//fWGy+Uy/uEf/sEwjG3/90Pr6o9M\\\n",
       "met34fnnnzcA9Pw3IwiCIOweTIaxG+o8BEEQBEHYa3nb296GoaEh3HTTTbzNZDLh0ksvxde//vXd\\\n",
       "fv7zzjsPDz74IJ544glxCAVBEHYz0kMoCIIgCEIP3/rWt3DbbbdxlMjrSTabxQ033IArrrhCxKAg\\\n",
       "CMLrgPQQCoIgCILQw5FHHolms7lHzh0Oh1GpVPbIuQVBEBYj4hAKgiAIgiAIgiAsUsQhFARBEATh\\\n",
       "VZGRA4IgCG9MxCEUBEEQBEEQBEFYpIggFARBEARBEARBWKRIyaggCHsl3W4XMzMz8Hq9MolQEIQe\\\n",
       "DMNAuVzG0NAQzOYd/7fvF198ETMzMzv0maGhIey33347fC5BEIQ9jQhCQRD2SmZmZnDDDTfs6WUI\\\n",
       "grBAueyyyzA5OYnh4eEd+tyLL76IFStW7NQ5X3jhBRGFgiDsdUjJqCAIeyVerxfA5rBseclLXvLq\\\n",
       "f6n/O7Ej7KgzuLOfXb16dc96VSE5OzsLu93e877ZbMY//dM/7fTaBEEQtoUIQkEQ9kroC58gCMK2\\\n",
       "2NX/ndgR8bmjFAoF2O12LFu2bKv3nnnmGbRaLYyPj+Nzn/scTjzxRBiGgc985jO7dD2CIAhzISWj\\\n",
       "giAIgiAIfeyo2NvRWI6nn36651wqb3/727c63imnnIL//M//xLe//W185Stf2aFzCYIgbA8RhIIg\\\n",
       "CIIgCH3sjCB86qmneraNjo5i6dKlr8l6ZmdnAQBHHnnka3I8QRAEQgShIAiCIAhCHztTDvrFL36x\\\n",
       "52dN01Cv13d5LS+++CIef/xxmEwmHH/88bt8PEEQBBURhIIgCIIgCH3sjCC86qqrsGrVKv55dHR0\\\n",
       "l9cxOzvLU0/vvffeXT6eIAhCPyIIBUEQBEEQ+tgZQbhq1arX1MGbnZ3F0NAQAODf/u3fxB0UBGG3\\\n",
       "IFNGBUEQBEEQFhiqGPzFL36B9773vXt4RYIgvFERh1AQBEEQBKGPXYmUmA9//OMf8cMf/pB/np2d\\\n",
       "xQc/+EGsXLkSZ511FovBD37wg6hWq/jJT34CAFizZs1rUooqCIJAiCAUBEEQBEHoY3cLwi996Ut4\\\n",
       "+OGH+edyuYxbbrkFt956K5rNJm+/+eabcfPNN/PPb37zm/HQQw/ttnUJgrD4EEEoCIIgCILQx+4W\\\n",
       "hK8m6i655JLddm5BEAQVEYSCIAiCIAh97G5BKAiCsFAQQSgIgiAIgtCHCEJBEBYLMmVUEARBEARB\\\n",
       "EARhkSIOoSAIgiAIQh/iEAqCsFgQh1AQhHnz7W9/GyaTCeedd95297v99tuxYsUKOBwOHHzwwfjN\\\n",
       "b37T875hGLjkkkswODgIp9OJE044AS+99NJuXLkgCMKOQYJwvi9BEIS9FRGEgiDMi8cffxz/3//3\\\n",
       "/2HlypXb3e+RRx7B6aefjrPPPhtPPfUUTj31VJx66ql45plneJ/vfve7+OEPf4jrr78ejz32GNxu\\\n",
       "N9asWYN6vb67L0MQBGFeiCAUBGGxIIJQEIRXpVKp4EMf+hB+8pOfIBgMbnffa665BieeeCK+/OUv\\\n",
       "Y//998c3vvENvOlNb8K1114LYLM7ePXVV+Oiiy7CKaecgpUrV+LnP/85ZmZmsHbt2tfhagRBEF4d\\\n",
       "EYSCICwWRBAKgvCqnHvuuTjppJNwwgknvOq+jz766Fb7rVmzBo8++igAYP369UgkEj37+P1+HHnk\\\n",
       "kbzPXDQaDZRKpZ6XIAjC7kIEoSAIiwURhIIgbJdbb70VTz75JK688sp57Z9IJBCPx3u2xeNxJBIJ\\\n",
       "fp+2bWufubjyyivh9/v5NTIysiOXIQiCIAiCIMyBCEJBELbJ5OQkPv/5z+OXv/wlHA7HHl3LhRde\\\n",
       "iGKxyK/Jyck9uh5BEN7YiEMoCMJiQWInBEHYJk888QRSqRTe9KY38bZOp4MHH3wQ1157LRqNBiwW\\\n",
       "S89nBgYGkEwme7Ylk0kMDAzw+7RtcHCwZ59DDjlkm2vRNA2apu3qJQmCIMwLEXqCICwWxCEUBGGb\\\n",
       "vO1tb8P//u//4i9/+Qu/DjvsMHzoQx/CX/7yl63EIAAcddRRuPfee3u23X333TjqqKMAABMTExgY\\\n",
       "GOjZp1Qq4bHHHuN9BEEQFgLiDgqCsBgQh1AQhG3i9Xpx0EEH9Wxzu90Ih8O8/cwzz8SSJUu4x/Dz\\\n",
       "n/88Vq9ejauuugonnXQSbr31Vvz5z3/Gj3/8YwDgHMMrrrgCy5cvx8TEBC6++GIMDQ3h1FNPfV2v\\\n",
       "TxAEYVvsiNgTUSgIwt6MCEJBEHaJTZs2wWzeUmxw9NFH4+abb8ZFF12Er371q1i+fDnWrl3bIywv\\\n",
       "uOAC6LqOT3ziEygUCjjmmGNw11137fE+RUEQBEIEoSAIiwURhIIg7BAPPPDAdn8GgNNOOw2nnXba\\\n",
       "No9hMplw+eWX4/LLL3+NVycIgvDaIIJQEITFgvQQCoIgCIIgCIIgLFLEIRQEQRAEQehDHEJBEBYL\\\n",
       "IggFQXhDMzQ0hImJiT29DEEQXkPWr1+PmZmZ3XoOEYSCICwWRBAKgvCGZmJiAieccMKeXoYgCK8h\\\n",
       "99xzjwhCQRCE1wgRhIIgCIIgCH2IIBQEYbEgglAQBEEQBKEPEYSCICwWZMqoIAiCIAiCIAjCIkUc\\\n",
       "QkEQBEEQhD7EIRQEYbEgglAQBEEQBKEPEYSCICwWRBAKgiAIgiD0IYJQEITFgghCQRAEQRCEPkQQ\\\n",
       "CoKwWBBBKAiCIAiC0IcIQkEQFgsyZVQQBEEQBEEQBGGRIg6hIAiCIAhCH+IQCoKwWBBBKAiCIAiC\\\n",
       "0IcIQkEQFgsiCAVBEARBEPoQQSgIwmJBBKEgCIIgCEIfIggFQVgsiCAUBEEQBEGYAxF6giAsBmTK\\\n",
       "qCAIgiAIgiAIwiJFHEJBEARBEIQ+pGRUEITFgghCQRAEQRCEPkQQCoKwWBBBKAiCIAiC0IcIQkEQ\\\n",
       "FgsiCAVBEARBEPoQQSgIwmJBBKEgCIIgCEIfIggFQVgsiCAUBEEQBEHoQwShIAiLBYmdEARBEARB\\\n",
       "EARBWKSIQygIgiAIgtCHOISCICwWRBAKgiAIgiD0IYJQEITFgpSMCoIgCIIg9EGCcL6vHWX16tU9\\\n",
       "n99vv/163m+1WtA0rWefL33pS6/V5QmCIDAiCAVBEARBEPrY3YKwUCjAbrdj2bJlc74fCATQbDax\\\n",
       "33774cMf/jAA4KqrrsKLL764S9clCILQj5SMCoIgCIIg9LG7S0affvrpbX6+1WqhWq3C7XbjhRde\\\n",
       "AAB8+MMfxjve8Q684x3vwMaNG3f4fIIgCNtCHEJBEARBEIQFxGWXXQYAOPnkk3nb29/+dgDA9PT0\\\n",
       "HlmTIAhvXMQhFARBEARB6GNnHMKnnnqqZ/vo6CiWLl26w+f+05/+BAA49thjtzpPt9vd4eMJgiBs\\\n",
       "DxGEgiAIgiAIfeyMIPziF7/Ys13TNNTr9dd8bYIgCK8lUjIqCIIgCILQx84Mlbnqqqtw33338evZ\\\n",
       "Z5/dqXMfccQRAIA//OEPPdsNw4DZLF/dBEF4bRGHUBAEQRAEoY+dcQhXrVqF448/fpfPfemll+Kb\\\n",
       "3/wmfv3rX/O2+++/HwCwZMmSXT6+IAiCighCQRAEQRCEPnb3lNE//vGP+OEPf8g/z87O4oMf/CBW\\\n",
       "rlyJr3zlK3C5XKhUKth///1x5JFH4mc/+xkA4He/+90On0sQBGF7iCAUBEEQBEF4nfnSl76Ehx9+\\\n",
       "mH8ul8u45ZZbcOutt+IrX/kKCoUCPB4PXnjhBY6eOO+887YKsBcEQdhVRBAKgiAIgiD0sbsdwoce\\\n",
       "emi779tsNjQajR0+riAIwo4iglAQBEEQBGEOdkboCYIg7G2IIBQEQRAEQehjdzuEgiAICwURhIIg\\\n",
       "CIIgCH2IIBQEYbEgglAQBEEQBKEPEYSCICwWRBAKgiAIgiD0IYJQEITFgnlPL0AQBEEQBEEQBEHY\\\n",
       "M4hDKAiCIAiC0Ic4hIIgLBZEEAqCIAiCIPQhglAQhMWCCEJBEARBEIQ+RBAKgrBYEEEoCIIgCILQ\\\n",
       "hwhCQRAWCyIIBUEQBEEQ+hBBKAjCYkGmjAqCIAiCIAiCICxSxCEUBEFYwBx//PEwDAOdTgdmsxnB\\\n",
       "YBD77rsvDj30UCxbtgzBYBBWqxWGYaDb7aLdbkPXdSSTSaxfvx6ZTAZWqxWjo6MYHx9HOByG0+mE\\\n",
       "2bz1vwd2u120Wi20Wi10Oh1YLBZomga73Q6LxQKTyQTDMHrOpe5Px2g0Gmg2mzCZTHA6nXC73dA0\\\n",
       "jc9pNpthGAbq9ToSiQSeffZZPP/886hUKohEIli+fDlGRkYQDAZht9thMpnQarVQKBSwceNG/PWv\\\n",
       "f8WGDRuQTCZRLBah6zoajQYMw4DJZILf78d+++2H4447DoceeigGBgb4mtvtNsrlMhKJBCYnJ5FM\\\n",
       "JtFoNODz+RCPxxGLxWC1WpFIJPCnP/0Jd999N8rlMgDA5XLB6/UiHA7D5/PBYrGgXC4jm82iVCqh\\\n",
       "0WgA2OwWWSwWvmd0XzqdDgzDgNVqhcvlQjgcRjweRygUgsViQaVSQSqVwszMDLLZLMrlMhqNBrrd\\\n",
       "LgzDgNlshtVqhd1uh9W6+f++2+022u02H5vur9PpRCAQQCgUgtPpRKvVQqlUQrVaxVNPPbV7f2nf\\\n",
       "IIhDKAjCYkEEoSAIwgLGarWi2+0C2PxFXxUYJM76MZvNcDgcCAQCMAwDNpsNXq8XmqaxSCFxR9Cx\\\n",
       "aJvJZOo5n0r/vrQ//WmxWGCz2QCgRxSRYKP91H2dTicAwOv1wuVywW6395yfRKgqjjRNg8fjgcVi\\\n",
       "Qb1eR6fTQbfbhcViQavVgq7rqFaraDabLCz7BS2J2maziVarhXa7DZPJhE6nw8ej66TP1Go1WCwW\\\n",
       "mM1mVKtVNBoNtFotfk6qkCAR3H+vO50OGo0GqtUqNE2DzWbj86vPoP9+mc1mPrd6P+d6Rp1OB81m\\\n",
       "EwDQbDZRr9dZtAqvjghCQRAWCyIIBUEQFjAej4fdJZPJ1OO20XaLxQJgi+ggByoajcLtdsNqtcLv\\\n",
       "98PhcMBqtfZ8eVXFjip+zGYzv1RR1i8GVaGj7k9rslqtc7qRtL/NZoPH40EkEkGr1UI0GkUgEIDT\\\n",
       "6eS19p/XYrHA5XKxKOp0OqjVamg2m9B1nQVfPp9HLpdjp5H273a7aDabqNVq0HUd9XodJpMJuq6j\\\n",
       "Vqvx+81mk++LyWTi+03iymQyodFosIhT70u32+25hyp0DF3XWfBrmoZWq8XCdi5RSGLQarXCYrGw\\\n",
       "K9sPfYbcWjouiVdhfoggFARhsSCCUBAEYQGzZMkSFjEmkwkejwfhcBh2ux2GYaDdbm8lOMghNJvN\\\n",
       "7KA5HA7e1v/llYQOiR86BjlR/S5dv1sHbO1g0XH6HUL6k4SSpmkIhUK83e/3IxgMwul0sqika7dY\\\n",
       "LHA6nVwma7FYWCCT2zY7O4tMJgMAqFQqSCaTCAQCPSK6Xq+jVCohm80ik8mg0Wig0WjAbrfD4XDA\\\n",
       "6XRyeSWJLro+k8m0Vdmm6uypzuK27iMAFpvtdptdQsMwuNyW3D8SsXQv6brpWui+qUKe1mez2VgU\\\n",
       "1mo11Ot1tFqtnf1VXHSIIBQEYbEgglAQhG1y5ZVX4j/+4z/wwgsvwOl04uijj8Z3vvMd7Lffftv9\\\n",
       "3O23346LL74YGzZswPLly/Gd73wH73znO/l9wzBw6aWX4ic/+QkKhQLe/OY340c/+hGWL1++uy9p\\\n",
       "r+OAAw7gv5tMJtjtdng8HjidTrTbbdTrdbTb7R7RYTKZYLPZuLeQnDhy69RyUbUXkJwptax0LneQ\\\n",
       "xKAqCkm8qK4erbm/PJUggRcOh+FyuQAATqcTmqb19EUCm51Gh8OBYDDI7pjL5YLf7++5F1NTU3jl\\\n",
       "lVeQTqfRarWQTqd5HzpeNpvF9PQ0JicnkUqluK+Qrt/lciGTyaBQKPSIUSptDQQCiEQicDgcqNfr\\\n",
       "3KdZLpdRq9W4p0/9LD0fEniGYaDVarGQpftG7mS73eb7p7quai8niU/1/jscDng8Hvh8PtjtdnY6\\\n",
       "1V5DYX6IIBQEYbEgglAQhG3y+9//Hueeey4OP/xwtNttfPWrX8U73vEOPPfcc3C73XN+5pFHHsHp\\\n",
       "p5+OK6+8Eu9617tw880349RTT8WTTz6Jgw46CADw3e9+Fz/84Q/xs5/9DBMTE7j44ouxZs0aPPfc\\\n",
       "c3A4HK/nJS54VqxYAWBrYUVDWZrNJjtHdrudnStVPPSXLvb30dVqNS65JDdRdfYI9XOdTodFBrCl\\\n",
       "v1EtG1UdRdXlouuhoTVms5l/n/oHsahfyl0uFywWC/x+P4tJp9MJu93OA3FcLhesVitsNhvy+Twq\\\n",
       "lQoSiQTsdjv3E27atAkvvvgiNm7ciGKxiG63C4fDweLM4XCwg0ilnzabDQ6HA36/H4ODgxgdHYXP\\\n",
       "50O1WoXX64XFYunp21NLTdX7R9vU/sR6vb7N/lByGC0WC7t+JpOJRR4JPLvdzoNqBgYGEAqF0O12\\\n",
       "2QFVexEFQRAEQUUEoSAI2+Suu+7q+fnGG29ELBbDE088geOOO27Oz1xzzTU48cQT8eUvfxkA8I1v\\\n",
       "fAN33303rr32Wlx//fUwDANXX301LrroIpxyyikAgJ///OeIx+NYu3YtPvCBD+zei9rLGBgYALDl\\\n",
       "izwJuEqlwv1vhmFA0zS43W643W522fr7APt7/+hY+Xwe2WwWtVoNDocDoVCIBWY/JCKptJGGuNDQ\\\n",
       "FhKFdA46j+pi0fWQk0klpvRSxRIJR/qspmlctqkKXwCw2WwIh8MslMxmM8rlMvL5PLrdLpLJJHRd\\\n",
       "x/r16/HKK68gk8mwGKtWq6jX6yiXy7BarWg2myiVSnx9NMAmEolgeHgY4+Pj8Pv9qNVqsNlsPWWZ\\\n",
       "tVqt5zr7J7TSfewvLe3fh4So3W7nZ2qxWLhvUd3H5/NhcHAQy5cvx8TEBLxeL0qlEl5++WWUy2Xo\\\n",
       "ui7lojuIOISCICwWRBAKgjBvisUiAHDP11w8+uijOP/883u2rVmzBmvXrgUArF+/HolEAieccAK/\\\n",
       "7/f7ceSRR+LRRx/dpiCkPi+iVCrt7GXsVVApJYkFcoa63S4qlQoKhQJarRbsdju8Xi+CwSC7UGqJ\\\n",
       "4lxiq9lsolAoYGpqCps2bUKlUoHH48HExATsdjuXbgK97mC9XucBLBQtQSWPqpNJrl2z2ewZfkNr\\\n",
       "Ul1Fchur1SoPdrHZbLwG1fFUXUQqm6TzUk8iTf2cmZlBuVxGMplEs9lEPp9HIpFAOp1GpVLhz1qt\\\n",
       "Vh6+QkK42+2y4+p0OuHz+RCJRDAwMIB4PA6Px8MubT6fRz6fR6lUgs1mYxFMwpWEcf/AmP5SUlUk\\\n",
       "Uo9kMBhEMBiE2+1Gt9tFsVjsESs+nw8jIyM44IADsP/++yMej8NisSCbzaJarSKdTqNcLvPzEOaH\\\n",
       "CEJBEBYLIggFQZgX3W4X5513Ht785jdz6edcJBIJxOPxnm3xeByJRILfp23b2mcurrzySlx22WU9\\\n",
       "2y699NIduoa9kf6BMWpPHzl8uq7DZDKhVquxwFEFlMlk4h47Kpukz6ZSKbz88svYsGEDdF2H3+9H\\\n",
       "t9uF1+uF2+3m6Zx0zlarxa5itVrljEKn09kjBql0slqtsjtls9ngdru3EkLkOhaLRSQSCeRyOZhM\\\n",
       "JgQCAYTDYXi9Xi6V7J+gSQ4plVNSn184HOZhL+T25fN5zi1URSQAdtxsNhs7kSTAaKppMBhENBpF\\\n",
       "JBLhvkQqRQ2Hw/D7/Uin0z3updPphM1mQ6fT4SmfVIZKYpdcUpqWShNMXS4XYrEYxsbGMDQ0BLfb\\\n",
       "jUajgVQqBYfDgUqlApvNhqGhIey///7Yb7/9MDg4CLfbzcIzEokgEomgXC7DYrFwDIXw6oggFARh\\\n",
       "sSCCUBCEeXHuuefimWeewUMPPbRHzn/hhRf2OI+lUgk33HDDHlnLnqLfWVIHx7RaLZhMJjgcDi4b\\\n",
       "VbP3SMSlUikUi0VUq1VUq1UkEgls2rQJyWQSrVYLPp8PLpcLQ0NDiEQi3LdHx6Hg+0KhgFqtBrfb\\\n",
       "DY/Hs9UkUnLbSqUSMpkMqtUqbDYbu8tqqWen00GlUsHU1BSeeeYZzM7OwmazYXR0lAfpqANxOp0O\\\n",
       "6vU6isUiisUiDMOAz+djF49iNwKBAKrVKorFInK5HA/M8Xg8sNvtnMtHbiKVXpLoczqdLJ5tNhvi\\\n",
       "8Tji8Ti7dSTo/H4/wuEwT0clh9But/P9bDabPWWh1PPn8XjgdrthsVhQrVaRy+VQKpVgMpkQCoUw\\\n",
       "Pj6OAw44AIODg9A0DfV6HYFAAIFAAPV6HR6PByMjIxgfH0csFuN+xlarxVmU0WiUJ5mKQ7hjiNAT\\\n",
       "BGExIIJQEIRX5TOf+Qz+67/+Cw8++CCGh4e3u+/AwACSyWTPtmQyyb1w9GcymcTg4GDPPocccsg2\\\n",
       "j6tpGjRN28kr2HtRe/7UUHa73Q632w2fz4dut8t9ayTaaHIouWmVSgWpVAobNmxAIpFAoVBAtVrl\\\n",
       "/sFKpcKlioVCAcVikSeYUj9ep9PhyZgkpNTST2BLnmGr1UK1WkUmk8Hk5CTy+TysViuGhoZ4cA0J\\\n",
       "VnIHX3nlFTzzzDNIJBJwOBzodrsIhUI9MRRU6loul7n0k0pOKWuReu0oQoL679T+SurFK5fLqFQq\\\n",
       "LKBisRjGx8exZMkSuN1u1Ot1VCoVFp2Dg4Pwer09sRNutxuhUAihUAg+nw/5fJ7FeTAYhNfrZYeU\\\n",
       "oj+8Xi+i0SjC4TA8Hg8Mw0A+n8fk5CSXrA4ODmLZsmXYZ599EAqFYDabUa/X+bjdbhculwuRSISP\\\n",
       "o5buUhlxJBJBvV6HpmnshAqvjjiEgiAsFkQQCoKwTQzDwGc/+1n86le/wgMPPICJiYlX/cxRRx2F\\\n",
       "e++9F+eddx5vu/vuu3HUUUcBACYmJjAwMIB7772XBWCpVMJjjz2Gc845Z3dcxl5PfzC7Gj9BblO1\\\n",
       "WmXRAYCngJJYor6/YrHI+Xs0nIZKTcm1U507NdqA/q5Ot6QJp+pAFBKO1L+2adMmpNNpzsXz+/0I\\\n",
       "hUJwu93sbhaLRUxPT2N2dha5XA5OpxO5XA7lcrknl49KXbPZLKamppBMJqFpGhwOB7t15JrSZ2id\\\n",
       "Ho8HHo8H8XgcXq8XhmGgUqmgVCqh0WjA6XQiFothZGQE4XC4J99Q7dN0Op09URCapsHn8yEWi2Fg\\\n",
       "YIDLeGnqp8/n45iMRqPBwnNoaAihUIiFWiqV4n7GTqeDgYEBxGIxBINB+Hw+GIbBfZX0DwHkhqqD\\\n",
       "eagU12azweVywefzIRAIAIA4hIIgCMJWiCAUBGGbnHvuubj55ptxxx13wOv1co8f9U8BwJlnnokl\\\n",
       "S5bgyiuvBAB8/vOfx+rVq3HVVVfhpJNOwq233oo///nP+PGPfwxg87+kn3feebjiiit4IuLFF1+M\\\n",
       "oaEhnHrqqXvkOhcy/aHuANgh9Hg8/KWfhrFQ+WOj0WAHi45DDhWVOlqtVg5EJwc2EokgGo3C5/Ox\\\n",
       "yFAFYX/kBP1dzSSkfciBTKVSSKfT7GqSACPnkYbJVCoV3q4KS/pZHYQzOTmJ9evXI5fLwev1srBq\\\n",
       "NBosPJvNJmq1GqrVKtrtNhwOB6LRKMbGxjjcnhxPKhn1er1c5kmll1Q2quY7AlviIWj4SywWw8TE\\\n",
       "BKxWK5doUikrOZiGYcDr9bLYoxJPWjeFx9dqtZ5hPQD43BQvQi5ttVrl50ClwvR7Qs+ceiwlh3D+\\\n",
       "iEMoCMJiQQShIAjb5Ec/+hEA4C1veUvP9p/+9Kf4yEc+AgDYtGlTz+CTo48+GjfffDMuuugifPWr\\\n",
       "X8Xy5cuxdu3ankE0F1xwAXRdxyc+8QkUCgUcc8wxuOuuuySDcA6oDBQAl3SSi0SDSVwuF5xOJ0ql\\\n",
       "Epd6qtMsadiK3+/HwMAAT+Os1WocHwGAHbKJiQmEw+GeaZv0Jw2KofNQhp/dbmcHSxVzuq5z7AGV\\\n",
       "epIr2Wq1uBSVSk9prTTMRi2VJeGYSqWwbt06rF+/HpVKBcFgEJFIBDabDZFIhB02yhIsFApoNptw\\\n",
       "Op3w+/08tZPWrGb+kTAmIWY2m2G1WntiMOj3XY2M0DQNwWAQY2Nj8Hg83DNIw3BouA2Vi4bDYYRC\\\n",
       "IbhcLphMJi6/LZVKyOVy3IOZy+U4d1Ed8kNDe/L5POr1OqxWKwKBAJetUjmuOsGUBLIwP0QQCoKw\\\n",
       "WBBBKAjCNlFdqW3xwAMPbLXttNNOw2mnnbbNz5hMJlx++eW4/PLLd2V5iwJVEKpTOSmwnMQJiRYS\\\n",
       "XtVqld0rygkkV4wGp9AUThI2drudyzkDgUCPICRRU61WuVyzVCrB6/WyUxWJRLiPjZw19UW9jLlc\\\n",
       "Dvl8HoFAgK+PBBX1ytFwHFUYtlotlMtlTE1NYePGjZidnUWj0YBhGFySGolEWPwkEgnMzs4in88D\\\n",
       "ABwOB7t/JPro2CT21OE1dM/V56B+8Vf3sVqtPMTFbrfzM1LFILlzJDrp2ZDz5/V62X1vt9vIZrM8\\\n",
       "gbVeryMWi8Hn83EvYaFQwMzMDE9lDYfDPIiHSmLp+ZHrWKlU3hDi5fjjj99mFuprhQhCQRAWCyII\\\n",
       "BUEQFjD9glAtISVRSFNAW60WD19ptVpcbkmOIA1ZCQQCGBgY4BJQ1f2y2+1wOBxwOBzcS6hGXORy\\\n",
       "ORZkxWIRdrsdpVIJpVIJIyMjiMVicLvdaLVaqFQqPYNput0uSqUSkskkEokEgsEg9zx6vV6MjIyg\\\n",
       "Xq/zAJqBgQH4/X4Wps1mE8ViEclkEplMBuVymUtTi8UiNE1DIpFApVLhCaqzs7Oo1Wrw+/08nZP6\\\n",
       "DdUhPCTW1CE5NJBHvT/AFqGgDtJRA+UpRoLcQXJLSYAD4FJVNS6Dno/VakWj0WDhXCgUUCgUMD4+\\\n",
       "jng8Dk3ToOs6kskkpqenkUql0O12USgUYBgGO7ZU8kuClHobhfkhglAQhMWCCEJBEIQFjPqlVI0t\\\n",
       "UMPLqbfN5XLB7/ej0WhA13UWd9RzRmWQJHLUFwk2ciHVPjkqFSVncNOmTSy8LBYLO0/5fB5LlixB\\\n",
       "OByGyWRCKpVCqVRCs9nsKYlMJpMIh8OIRqNwu908+GR8fBwOh4OD1ykygTIO1Z5CumYqLzUMA/V6\\\n",
       "HalUCplMhstFdV1nZzAWi/EkUhJL1INXrVY5+0+999STSS4pCXC1t08tZy2Xy9yvqPb72e12dm7p\\\n",
       "Re4mlZyqJaYkflutFgvuUqmEJUuWwOfzodlsIp1OI51OI5vNotlsQtd1WK1WhEIhHn5DQpWEoQyV\\\n",
       "mT8iCAVBWCyIIBQEQVjAkADsd6Vo4iftQ44UlQp6PB4OVKcSSbXEVB3+og6IAbaUSVI5KYmSqakp\\\n",
       "bNiwAclkkt0/ctk6nQ4ajQb39FmtVs4g1HWdxQ8AFItF5PN5FoskCuPxODweD2q1Gk9P9Xg8HNVA\\\n",
       "URLRaBSjo6Mccu/1erknsFaroVwuI5/PQ9d1vieDg4OIxWKcQUj3kEpgi8UiLBYLQqEQh9MD4D5L\\\n",
       "ivCg/ECHw8HuJg3xIfey1WrB6/Xy8B91EE2tVkOtVkOhUOBhMiaTiaeG0nNpNpuo1+uo1+s9a6hW\\\n",
       "q/D7/TCZTNwzSj2ZtVoNNpsNsVgMkUiEHV763SAHUpgfIggFQVgsiCAUBEHYS+gXhCTkut0uixwS\\\n",
       "QDSsxG639/TL9ecFqnER6rCUdruNRqPBAiuTyWDDhg2YmZlBpVLhCaEkCEkQ0TAXk8nEQevU10jr\\\n",
       "IQGrRjeQcKIIBlqbKqbsdjvC4TD2228/hEIhVCoV3k73hEosG40GgM2lqENDQxgeHkYoFOKSTCqj\\\n",
       "LBaLmJ2dRaFQ4Amd1AdpGEaPeDUMA36/H9FolPsfqUeQSl2pRJXKYdVcRHI2KY6j2WxyxmG324XF\\\n",
       "YuFeQzXigz5DvZDVahUWi4UzEmnCbK1Wg9VqxdTUFAfZUx5iIBDgwTqCIAiCoCKCUBAEYS9BnRoJ\\\n",
       "oCcSgTII1VJKdWBJvztIbh0JMiolBcBCs1wuI5fLIZfLIZ1OI5VKoVqtAgDHVVD5JIXG12o1HiBT\\\n",
       "r9c58oHKISmQPR6P9wg0crNoPeSWqf18mqZxfuHw8DDa7TaLKXLTZmdnuTzVMAwMDg5ifHwcAwMD\\\n",
       "7A7StTYaDeTzeaTTae6to9JZckxzuRwmJycxOzuLTqeDaDTKERV0j6m/slAoIJlM8lRVEpcul4v3\\\n",
       "Bbb0QhYKBS4LJVeRBKIq3umZkYAk8UiObK1WQ71e5+cxMzOD6elpuFwueDweaJqGaDQKh8PBQll4\\\n",
       "dcQhFARhsSCCUBAEYQHTP+l1LlFIAo5ECmUMqi8SfTStk/L+AGzVM0i9euVymUPs8/k8Go0Gxx84\\\n",
       "HI6etfSLFzouTQm1WCzwer0YHh7Gfvvth3333RfxeBxut5tLNEmQqlETBF2HzWaD2+3u2Y/KVdUh\\\n",
       "LaFQCCaTCdFoFENDQ/D5fNynR2KRnD0SsP29gTS1NZlMYsOGDRyb4XQ64fV6oWkabDYbqtUqCoUC\\\n",
       "UqkUEokEisUiSqUSbDYbgsEgD7JRp6Xqus5imxy+wcFBvqdut5unjapOLq3ZZDKx4KZrMAwDuq4j\\\n",
       "nU5jw4YNcLlcGBoa4kFCVJYqzA8RhIIgLBZEEAqCICxgVJGkCi0SL2pYvNpnSMKGXv0RCJR1p2ka\\\n",
       "Czwqa6SyxXq9Dl3XUavV0Ol0OLpiLmHR/7Mq1sxmM2ccjo+PY3x8HIODgwgEAlxOqX6OyiVpyA2V\\\n",
       "b9J1kbhVB+RQeabFYoHT6WQnz+12w+/3c7+fGjFBw1yoT1EVjXR8GlZTKpWg6zoHzPv9fo6aoEE5\\\n",
       "MzMzSCaTKJVKKJfL0DQN8XgcAwMDPSKWhsuUSiU0Gg2Uy2WexhoOh/leUUksuX90b8gZJRFMLjEA\\\n",
       "NBoNFAoFTE5O8v2ge61OjhVeHRGEgiAsFkQQCoIgLGDU8kf1RWKERBywRSiqgqn/S22n00GlUsGG\\\n",
       "DRtQq9UQCoUwNDTEwkwtISVRR9M3vV5vj5NIpY60D7l4FHlAZapUOhkOhxGLxRAOh7l8U422UJ1B\\\n",
       "CqtX31NRhS4AdhlpmI7D4eDge5oWqgpKEqmhUIhFGvXXUYkr9e/ROUhsbdq0CQ6HA+12G16vF6VS\\\n",
       "CZs2beJMQJogSo7hxMQEAoEAl8JS7x+Ve+q6zoOAfD4fPB4Pl8SazWbkcrmeQPn+yAu1H7Tb7aJW\\\n",
       "qyGbzcLpdPJQIRK7DofjNf8dfaMiglAQhMWCCEJBEIQFTLlc7hFKVKJJ7hZFLhAkYNShLQSJuEKh\\\n",
       "gOeffx6VSoVLCr1eb880TyrPJAeRSjUp55CiLarVKgfLu91ueDweHs6iRjQ4nU643W4+hjrJcy7B\\\n",
       "qzLX+3Ptr05btdlsXPpKvXd0DW63G1arFS6XC5FIhCei0mCcer3OA1k6nQ4cDgc8Hg/K5TIajQYS\\\n",
       "iQS63S7K5TKCwSDq9Tqmp6eRz+e5hJMyFzOZDHK5HKLRaE/0BN27RqMBs9kMXde5j5EcSFUs07Oj\\\n",
       "Xkyz2YxOp9PTswlsya2ka8lms4jH4z2fFeaHCEJBEBYLIggFQRAWMLlcjid+0jRRj8fDw0LU0tB+\\\n",
       "MUWCC9giKmiQyiuvvMICZ2hoiPv5qESTBB7l9tGkSop6oKmXNMjG7/cjFArB5/NxBp/q4qn9jP1Z\\\n",
       "iqo7SANdqASyvzeRPqOWqKrCUI3SqNVqKBaLnA1IpZhms5l7AElYVatVpFIp5HI5FoEulwuGYcDl\\\n",
       "ciEWi6HRaCCTyfB9K5fL8Pv9AIB8Po9arcY9f9TrVywWkclkMDAwAKfTiUql0iMGaRgQXY/dbmc3\\\n",
       "z2azcb8hlataLBZ2+ugfA8xmc0+mIQli6sucq/x2b+eee+7Bww8/vKeXIQiC8IZABKEgCMICJpfL\\\n",
       "8TTJRqMBh8OBeDwOu93OTpta4qm6iWrJpRolUS6XUSgUUC6X4Xa7USqVuDSVXDZN0+D1elmcOZ1O\\\n",
       "+P1+Dju32WzsTFmtVg6a93q9HANB56Y/afhLs9nsKW2l90lE1Wo1LvGkaabqMdTPqGWxNLCl2Wyi\\\n",
       "Vqshl8thZmaGp6P6fD4u86RoCWDzwJpGo4Hp6Wls2LAB1WoVmqYhGAxieHiYp5oCm8tJqU9QFcWt\\\n",
       "Vov7Jem6SGhmMhmkUil4PB7k83kWlFQWS5NhSXiTi2mz2aDrOhKJBF8DRXf4fD4ePkPuJt0bcmT9\\\n",
       "fj+CwSDcbjc7tuo/EgjbRxxCQRAWCyIIBUEQFjBqySNNuHS73Wi1WgC29A0Sczlo1F9G4o5KPFut\\\n",
       "FpeAAlsEFvX9uVwuHvBCQkXTNA5Op4mmmqZxxIHb7eYIChJyJPQoM6/T6bAAIqFCvXUUtl6r1WCx\\\n",
       "WLivzuVy8cRSchIpZsFut7PzSGWiFDg/OTmJyclJ7pf0+/0YHR3le0IllpVKBYlEAps2bUKlUoHV\\\n",
       "auX9g8EgD5GhYTC6rrN4VUU5BdaTsCZXcWpqCoFAgDMS+8W3x+OB3++H1+uF0+mE0+nkwHoqcSXR\\\n",
       "YbVaudeQRDDFZJBLaLfb4fV6uW+TjiGCcP6IIBQEYbEgglAQBGEBQ8LA4XCg2Wz2DHXp7x3cVu8d\\\n",
       "QSLI4/FgfHwctVoNQ0NDnFFHYoG+3FI/HvUBqj2J6sRLWhMJHCpLpBeVPU5PT3NwuxqFQANayuUy\\\n",
       "UqkUkskkdF2HxWKB3+9HOBxGIBCAy+Xi3D8qodU0rWfqp8lkQrPZ5FiH2dlZJBIJ3p9y//pdR13X\\\n",
       "ORewUqmw8KS/e71eAEAkEsHMzAwKhQLq9TqLMYfDwWJdzXTsdDrI5/OYmZlh5xMAC2w17D4Wi8Hv\\\n",
       "93O5KN1bclPp3pJYj0QiPf2Y6nlpsI7b7e4RlcL8EUEoCMJiQf7fQRAEYQHj8/nYxaPoAnUaJpUp\\\n",
       "9peM0gvo7bGz2WwIh8P4m7/5G3Q6HYRCIQwODvbk5JErSFNEyYlTp282Gg1Uq1Uuf/R6vQiFQuh0\\\n",
       "OiweSQzW63WkUin89a9/5d5Fh8OBcDiMUCjETmShUEAikUA2m0W1WgUAuN1uBAIBBINBniBKx2y3\\\n",
       "2/B4PBgcHOTSTqfTySWjhUIB+XyeRaDdbudST7p3FK9BvX1U0moymaDrOorFIv9st9u5rJNcQLrP\\\n",
       "JBrD4TCLd4qToGxAwzBYpJFrZzabEQwGMTExgSVLlsDv93NvID0DuqdOp5MH3LhcLhZ7TqeT+0kJ\\\n",
       "Eue0ZnJXhfkjglAQhMWCCEJBEIQFjNvtRqfTYSes0+lwSWaj0WBXjMo+1f7BuSZxWq1W+P1+LF26\\\n",
       "lJ1Hct5o+Eij0UCtVkO1WuUpoiQuKceQJlhmMhl2rcjtIzdLjUDYsGED/vrXv2LDhg3s/tFwHIfD\\\n",
       "wS5dqVRCpVJBs9kEAJ506nK5WBhTL2Kn0+HwdV3XEQqFeGhMrVbjayBnrlwuI51OI5lMIh6Ps7gs\\\n",
       "FArIZrPQdZ0FGN1fioeg8HeK+KB7ToLcbrcjFAphfHwcfr8f1WqVcwnVAHm3241IJIJAIIBms8mf\\\n",
       "W7JkCQYHB9lhbLfbqFarqFQqHElhs9ng8XgQiUS4B5JKhm02G4s+NUdxW4N8hFdHBKEgCIsFEYSC\\\n",
       "IAgLGBqqQr17JMio504NagfQ01/X7xhS3xqVJAJbSk0p/Fydzkm9fOQK0uRPGnRCuXt0fpfL1VPq\\\n",
       "2Gg0kM1m8corr+DFF1/kaIZ6vQ4AKJVKLB7JTaQSTLUkVp1SSvvSPjabjYfiRKNRtFoteDwenvip\\\n",
       "up2VSgUzMzN4+eWX4ff7+Vwk3GiSp1pOSv2PNBWUXEQ1e9Fms/EQl2g0imAwiFqtxs4jiUaz2QyX\\\n",
       "y8UuIrl+Xq+XewJp4mitVkO5XEatVuOAe5vNBq/Xy/2UVB6rlvKSKFTzE+n5k5gVBEEQBBURhIIg\\\n",
       "CAuYfuFGJZxUMkmO1lzloSRoVNeLjqVGPDSbTTSbTRZkJEaotJJEj8lk4tiKZDKJTCaDarXKfYbk\\\n",
       "9AUCARiGgVKphKmpKaxbtw5TU1PI5XLsstGat+dm0vXQmvtFDg1QIde0WCzCbDZjYGCAxStN1iQB\\\n",
       "nU6n8eKLL3L5KABs3LgRmUyGRTG5bg6HA5qmAQDq9TrK5TKKxSLfFzUPkkQ2CVzKPPT7/Swcabop\\\n",
       "9U5SiSudh1xeKomljMJgMIh4PM4OLF0LvUj4qlmEasYjPXu6T8L8EIdQEITFgghCQRCEBQx9gVeH\\\n",
       "uZBTpqK6WvRnv7ulRja0Wi0uDa1UKhxw3mg00Gg0OFydxAyJ0FKpxMNXGo0GO4PVapUz/KampnoG\\\n",
       "xFBguyrS1KE0qlila50rQ3EuKNohm82i0Whwf6XdbufeOzUGolKpYHp6GlarFZVKBZqmcc8i3Vua\\\n",
       "gBoIBBCNRnn4i67rqFQqHPJut9u5R48yC3Vdh9VqZfFFw3Co5JfyI6mXkN6j61XFssVigdfrRTAY\\\n",
       "hM/ng9fr5d7GXC7Hk07p2mhNdI/VntBms8kOsTB/dtf9KhaLiMViXBoNbB40VCqV+B+BBEEQXi9E\\\n",
       "EAqCIOwlkFCiskIadKIOlSGoF7BUKiGfz/dkDXa7XVSrVRY4JCzIJaRyTBIYFHxOZaRqSLrL5eLS\\\n",
       "RyoTLZfLmJ2dxezsLA9lAbb0A5pMJnYiSbAQ5M7RC0CPcFSFoZo/2Gg0AACpVIrXpet6TzYgOaLl\\\n",
       "chkzMzM8lIZiICgCg/ohBwYGMDIygmAwiHa7zXmBJOpsNhuXb1LvZKVS4XtD7h4JQPqM+qzUPEbV\\\n",
       "4SOHkaaXer1edmDp2ZDgJ6FHYpgcSrPZjGazye4m7SvMj93pEA4ODqLZbOLAAw/E+9//ftx4441Y\\\n",
       "v349IpEIisXizixXEARhpxFBKAiCsIChgHbVNaNhIiQc1Iw6AOwI6bqObDaLRCKBXC6HarXKZaHU\\\n",
       "n1ar1dBoNLisVBWDJGTMZjM7gBSCTgLE6/XC7/djYGAA0WiUBSeVcpLYs9vtPYHrtAYq21RD1WmI\\\n",
       "jMPh4DJVXddRrVa5f5L27RdUpVKJ10aiU80cpHtK+5HD1u12ua/P5/MhFothdHQUIyMjcDgcKJfL\\\n",
       "PB3U5/PBarXC4/GwCCN3lXIjNU2Dz+dDMBhEIBCA0+mEYRi8/mazyfca6C2JtVqtvBZ6DjRQp9Vq\\\n",
       "9bh/5PzRZFISg+QydTodFItFTE1NsYv63ve+9/X55d3L2Z2CsFarwWQy4ZlnngEAXHLJJTCZTCiX\\\n",
       "yzu8TkEQhF1FBKEgCMICplKpsFBQ8wBJCPaHjZMLVqvVuNdvZmYG2WwWlUqFS0JJXJEw6XfgSFCQ\\\n",
       "89fv1tE5NU1DOBzG6OgohoaGOEy92+2i1Wqx+LPb7QgEAgiHw3C73Wi328jlckgkEj2DZlwuF4LB\\\n",
       "IGKxGAKBACwWCwqFAmZmZpBKpVAul9mBowgIKmkFwFNDy+UyTyOl7D91Emuz2WTXlK6Pwtzj8ThG\\\n",
       "R0cxNjbWI3JDoRC7djTchdxTutfZbBa1Wo0nrwaDQUQiETgcDhbB1WqVn5PaI0n3lNZCPYn0d5o+\\\n",
       "qopg1WGl3w960T8MpFIpvPDCC5iamkKtVtt9v6xvMHZGED711FM920dHR7F06dKt9nc6najVavjC\\\n",
       "F76AH/zgB/jQhz4EABgaGtrFVQuCIOw4IggFQRAWMKlUqidTzul0cplmvzAg4UJB8Pl8Htlsll/U\\\n",
       "K0iDZuhPdbonDVWhIPNAIIBAIMCOhjoBlNyrYDCIgYEBDA4Oct+bpmnwer2YmZlBpVKBxWLh/QKB\\\n",
       "AEwmE3K5HDZt2oSpqSkUi0WYTCYEAgGMjIxgbGwMsVgMJpMJiUSCBRWtWdM0zie0Wq3sdFL5K7mT\\\n",
       "1J9I91CdxkrB8uRKksgMBoMYHBzEwMAAvF4vGo0G7HY7/H4/bDYbgsFgT15gtVrl9ZHotlgs7KDS\\\n",
       "/SAXltxQEoCq8OjfTs+YtqkxE6o7TL2PtI0c2nq9jmQyifXr12NyclIE4Q6wM4Lwi1/8Ys92TdP4\\\n",
       "HztUMpkMAoEArr76alx99dUANovEqampXVu0IAjCTiCCUBAEYQGzadMmAGCBEQgEEIlEOHZA7aNT\\\n",
       "BSENhlFfJJaopJO+xJKTRD2G5Lh5PB4MDw9jZGQE3W4X4XAYNpsNk5OTnCVIfXQ0QVMNQvf5fFiy\\\n",
       "ZAny+Tw6nQ68Xi9isRjC4TCsViuq1SqGhoYwOTmJbDYLk8mEUCiEkZERDA8Ps9MYDAbRaDRQKBTY\\\n",
       "0SThODg4CLPZjHQ6zU6imhmo9kLSugD0TFYlgUaDXGg6qM/ng6Zp/D49A4/HA6/XC5vNxver3W6j\\\n",
       "WCzC7XZzySiVyKrB8TRYp9vtcs/iXKJDfbbq+yT+aChNrVZDp9Phc5CrqJbHFotF5HI5FAqFOcWJ\\\n",
       "8Npx1VVXYdWqVfzz6OjonPvtv//+aLVaGB0dxfHHH4+7774bMzMzGBgYQCKReL2WKwiCAEAEoSAI\\\n",
       "woLm5ZdfZofL5XIhFosBQE9UgTqxk1w+ijkIhUIccE7CwmazIRQKweFwsNDK5/McCE95eUuWLMFB\\\n",
       "Bx2EffbZB5qmIZ/PY3h4GI8//jhefvllHhajOlYkSpxOJ8LhMMbGxvi4avQCDcYZGRnBAQccwANP\\\n",
       "nE4nT9+02WzodDq8zlqtBpfLBZPJhLGxMRxwwAEYGBhAp9PBhg0bMDs7i06nw24hOZlWqxV+vx9D\\\n",
       "Q0OIx+Ow2+2oVCpIp9PI5/Oo1Wo9cRHkwpKIo0mmNJyHehK9Xi/sdjtPEKW4C7/fD6fTyVERVHZL\\\n",
       "rq7T6US32+Wy0rkmqqoxIvSn+vw8Hg+i0Sg0TUO73YbT6WQBSyJT/ccC1RUW5sfOOISrVq3C8ccf\\\n",
       "/6r7b9q0CYFAABs3buRtTqcTyWRy5xYrCIKwC4ggFARBWMCoJX5UnkiljmovX/9AGIpNoBJFNddO\\\n",
       "0zSMj48jHA6j2+0ik8lgamoKyWQSlUoFdrsd8XgcIyMjiMfjPCmTyh4pdiKbzQJAz6AXcrCohJGc\\\n",
       "ORqOQ0KWXEgSYGofnFr2SOI0Go1ibGyMHbCxsTGMj48jGAyyE2i32zE9PY1UKtUzYZSGwSxbtgwT\\\n",
       "ExPsrM3MzGBqagqZTAbNZpN7EmlCJwAOdK9Wq5xVSCJyeHgYgUCA4yf8fj+63S6Xlvr9fp4+So4s\\\n",
       "CUB1yig9WxKC1F+oThOl6wY2iw8qySXXkVxDVVzS+TweDw/AkSmj82d35xD2f0YiQQRB2FOIIBQE\\\n",
       "QVjA9PeTkZggxwfYEj6uDoWhqZ60L03ppEiGffbZByMjIxzQPjk5iQ0bNiCbzcJms2F8fBzLli1D\\\n",
       "OBxmh8tkMiEajWJ8fBxTU1Oo1+swm809wffUA0d/Us8bCb7+QTh0Xf2h6mpPHYmrkZERuFwuWCwW\\\n",
       "xGIxBINBeDwedLtdRKNRmM1mjI6OIpVKcdyC3W5HNBrF0qVLsd9++2F0dBQulwutVgvhcBjBYBDT\\\n",
       "09MolUowm80Ih8Ps/AFbBGGz2UQ+n0c6ncbs7CzK5XKP+2iz2Vig+f1+AOiJmaBroSmiVOKr5kv2\\\n",
       "l/yqJbwkOtWeQXouFIlB75GoJAEei8WwZMkSzpEU5sfuFIQmkwn5fB4HHXQQ3v/+9+Omm25CrVaT\\\n",
       "DEJBEPYIIggFQRAWMFQiaTabewbKkOtHvXKqIKMXBax7vV74fD7ub3M6nYhEIhgcHITH40Gz2UQ0\\\n",
       "GsXQ0BAKhQIsFgsGBgYwOjrKvXIk4NxuNyKRCAYGBtghVCddzjUshUQfsGUoCmE2m9kJUz+jQmWW\\\n",
       "1MMIgNdFpZ4kfsfHx1EqleBwOFCv1+F2u7FkyRIsXboUY2NjCIfDHFpPDqbH40GhUIBhGDwVlIbq\\\n",
       "0HXRkJZSqcRuq8fjQTAY5CgNKtckd6+/v3Mu1JJQVRBWq1WOCaHrd7lccDqd/DxIAKqCur8k1OFw\\\n",
       "YMmSJTjwwAPhcrkk424H2J2C8Pe//z2OP/54PPvss7j00ksBbP5HnJdeemmH1ykIgrCriCAUBEFY\\\n",
       "wPj9fnZ/XC4XfD4fbDYbO0iUe0cZdJqmcUwBsLWzSJ+hskN18EkgEEC9XofFYuHBKf1liLQOGrpC\\\n",
       "0RL99A9CUadk0jYSQSSESByRS6i+T6WuLpeLh7yQkwZsyTEMh8NYsWIFBgYGYBgGvF4vIpEIwuEw\\\n",
       "fD4fD+OhUlTK8AuHwzCZTFuJPLWslbaVy2VUKhXkcjkOolenmNI0VhKG1OcJ9Ao/9T6p008pP7FY\\\n",
       "LPJ0Vxrc0263ub+yf2oq/aMAiVLq6yT3dGBgALquv0a/mW98dqcgPPbYY6WfUxCEBYMIQkEQhAWM\\\n",
       "0+lkt48mSZpMJp6SWavVeHIkCTwAPa5cfymi2Wzmvj9gS+4dHYPiF9SBJ6rLReuhz6jCRP0SrQo6\\\n",
       "tTyy/8sziRl1PapwUsVV/7XQmsi1o2Ev5KS53W54vV7ODyRHsj/Kg8pYXS4XZxvSddF+/T2G/c5f\\\n",
       "/yAXVeQS6v1QP6PuR9dMg3ToflFfJjmD6jHVvkPVoaRnGQgEYLVaZcqoIAiCsBUiCAVBEBYwoVCI\\\n",
       "h4OQGOl0Osjlckgmk0in0xyE7vf7EY1GOdSdxKRhGGg2m9B1nV0nGozS7Xa53JEEHpUjqkJPFR2d\\\n",
       "TofLGO12OztW6r4AerIAAbCQofdVYddoNNgxoTJQer/ZbLI4qtVqWwXN0zGo9NTj8fRM+FQHsqiB\\\n",
       "8CT0SPRSHiHdZxJUJCzD4TAGBgb4/lA/I7C1GGy32yy6KTCexCjRXyarThYlQVitVrmHUb2fLpeL\\\n",
       "107vUwkxDdjx+Xwsjp1OJw/gEebH7h4qIwiCsFAQQSgIgrCA8fl8LErsdjva7TYPgXn55ZeRTCbR\\\n",
       "aDRgs9kQCAR42AnFIag9e61Wi0VDPp9HtVpFu91m56x/IAywxdFqt9uo1+uoVCool8scvk6uZL+b\\\n",
       "2Ol0WOhRHxxNGCXRRKWRVIJZq9VYqFFJaLVaha7rHCVBJa8k7KrVKq/HbDYjFAph+fLlCIVCXA6r\\\n",
       "Tgwl56y/HJXKcmlwC90zcuWcTidCoRAajQYcDgdnJpKI7ndDSczSJNi5Bun032t1m3of6XrVCaSN\\\n",
       "RoPd3G63y+KxWq2i2WzCbrdzOS85y3QPhPkhglAQhMWCCEJBEIQFjNPpZEFoMpnY3ZuensbMzAxy\\\n",
       "uRxarRasVisLKpfLxRM0abAMZfvZ7XYu0SSnDNjSt9cvSEgM1mo1lEolpFIpzM7OIp/Po9vt9vTW\\\n",
       "kdCigTelUgnFYhGtVot7FEnsUV5goVBAJpNBLpeDruvsErZaLei6jkKhwIJPLcHsdrvseqqCMBwO\\\n",
       "w2w2IxqNIhKJANhSgkrXRfeToHP29z2qDqHD4YDP5+NcROpPpFgI6uMkp4/ug9rfSYJPLflURcdc\\\n",
       "fZfqVFlydKlUWI3vaDabqFQqKBaL0HUdNpsN7XZ7q15QES7zRwShIAiLBRGEgiAICxhVpJFIyufz\\\n",
       "KBaL3EPXXxZKzh8NYqEQ8yVLlrCDRNEKqhCk8/T3p7VaLVQqFSQSCWzcuBEzMzMoFovsEFLpKAm9\\\n",
       "ZrOJQqGA2dlZpFIpdLtdhEIhLskENgs+EpjT09PIZDLQdZ1dNRKghUKBB7cAYPeOyi/r9TpqtRqa\\\n",
       "zSavd3JyEsPDw4hEIiyo1ew/taeRHFTVOaN7QOKNSmrdbjcHylP2H90bAD2OHZXWkqMJbBGitF//\\\n",
       "emhfivFQnz/1BZLYrlQqPDSGekopG7JUKrFQDIVCnCPZf53C9hFBKAjCYkEEoSAIwgKm2Wzyl01y\\\n",
       "B0mAqJMwqX+OygOpZJRcpHg8jmXLlvGE0uHh4Z5ICbUHrp92u82CcNOmTUin0+h0OggEAnA4HD09\\\n",
       "hJ1OB7quI5lMYv369UilUrBaN/9fTSgU4gmn9XodxWIRs7OzmJqaQjabRb1e53xFKiUtl8uo1Wo8\\\n",
       "yZNKZ+12O7tuahmqYRgoFouYmprCwMAA3G439wqSUGs2mz3Zif1xHeqLRKHD4WDnz2w281rJtWs0\\\n",
       "GuzA0nNrNBo87Ib6LkkQ9/doNptNLn8tlUqoVCqcQ0iQGFSnl1IpKonwTCaDYrHIYnFoaAixWIzv\\\n",
       "lwjC+SOCUBCExYIIQkEQhAVMOp1m96her6NcLqPdbsPn88HhcADY4uKZTCYEg0HE43EWa3a7nfP1\\\n",
       "ut0uPB4PWq0WBgYGthKExFx/p369SqWCarXK/XYej4cHt5CLWS6XkUgkMDU1hVwuB6/Xi2g0ypNE\\\n",
       "yUUslUrIZDJIJpMoFAosdKgsknrn1N48NVqBMhnp+mngSqvVwuzsLNatWwePx8MiDQC7ayQySfDR\\\n",
       "0B5y5Oi+kgCkXjwAfL90XWfRR72ODoeDhRdtJxFnsVjQ6XTYlTQMg/ssS6UScrkcCoUC5w/S/VL7\\\n",
       "BtU+QWCzsCTHkhzCSqUCu90Or9eLfD6PUqm0lSspCIIgCIQIQkEQhAXMCy+80JMxpwoxKoWkWAaL\\\n",
       "xYJgMIjh4WEEAoGeHjMaiuJ0OtHtduH1ellQbQtySKjUk/rRms0mNE1DKBRCIBDoOQ4NvVEnoLpc\\\n",
       "rq36E0n0VSoVdsRU14uEFQkeKo+12Wycg0jnBsDDciqVChqNBnK5HNavXw+fzwePx8NOWq1WQy6X\\\n",
       "Qy6XQ71e78lVpGmuwJaBLuSomc3mngxDugZyCUnY0TEBsNNJk1Epn5COT0NycrkcZmZmMDs7i2Kx\\\n",
       "yM+S8iTpc7VaDZVKha9RHR7U7XZRqVSg6zrq9Tq63W7P/hStIYJw/ohDKAjCYkEEoSAIwgLmmWee\\\n",
       "AQAOTY/FYhy07nA42G2jqIFAIIBIJAK3283DS0jUUWknAJ6m2f9FVs3HA8DumM/nw+DgIFqtFg+r\\\n",
       "obWogpAmg5ZKJei6zj13VMaqDlehASwkaM1mMw9vocgMckV1XUez2YTFYoHP50M0GkU0GoXH44Fh\\\n",
       "GFxamkqlkE6nUalUMDMzA7/fz6WjmqaxM0mDcSi3MB6Pw2QyceQETQmlCakUXdHfZ0lincQdiVYA\\\n",
       "W7l63W4XDoeDj2u1WlGpVDA9PY1XXnkFs7OzqFQqfAyaymq1WrlclI6l9og6nU6YzeY5XcV6vQ5d\\\n",
       "13kS7I6InIXM8ccfj+OOO263nkMEoSAIiwURhIIgCAuY6elpmEwm7pOz2WwIhUIYGBiApmlcStpu\\\n",
       "t1m4kRukfkmlGAUarkL9a3MNU+n/2WazwePxYHBwEJqmQdd1mM1meL1eBIPBnsB3KvGkCZ0kREmQ\\\n",
       "kFNHQlN9aZqGaDSKwcFBFrytVgvFYpF7Jw3DYJEXi8XgdrvRbrd5+Eyn0+Hppvl8HslkEtlsFgMD\\\n",
       "A+yQNRoNHnrTarXgcrlQr9dht9t7hDSJKcohJNeSngXQW1ZKw2PonpIgK5VKyOfzaDabcDgcqNfr\\\n",
       "LAgLhQJmZmYwMzODVCqFarXKz4f6JanUk/oSaTosXQ/dZ7UnUp3CSqWtVB4rzA8RhIIgLBbk/xkE\\\n",
       "YS9n/fr1+MMf/oCNGzeiWq0iGo1i1apVOOqoo7jHTNh7qdVqPdMufT4fIpEIgsFgT9SEGsegvvqz\\\n",
       "BVXRpooKGkrTn40HbCmX9Pl8nG9HQlHTtJ7ICertCwaDKJfLMJvNCAaDPb18tFbKJnS5XOh0OvB6\\\n",
       "vRgaGsI+++yDgYEBuFwudLtdVKtVFAoFlEoltNttjtUIhULQNA2dTgd+vx/lchn1eh2pVArAln5B\\\n",
       "Nc6CvuQ3m03OP6T+umAwiEgkwjmDdF5y/FR3s/9aqBxV7YOkCaTpdBqpVAr1eh0Oh4MjNBwOB4tX\\\n",
       "6s2kITXUZ0g9ntQnSccnMU+TTgH0uIPk1BaLRZRKJZ40KsJlx5D7JQjCYkAEoSDspfzyl7/ENddc\\\n",
       "gz//+c+Ix+MYGhqC0+lELpfDK6+8AofDgQ996EP4x3/8R4yNje3p5Qo7idfrZbEyNDSE4eFhhEIh\\\n",
       "eDweLrUsFArIZrNotVrw+XwYGBiAYRjw+Xw9EzjJMaJ+PafTyZERJHbUF4lDcsDI4VNFEAksEilO\\\n",
       "pxODg4MwmUyIx+M8jdTv9/eUNZLwcTqdPNyG+h/HxsYQjUa5FJLKYtXhLGo5JfVE0rCVRCKBVCrF\\\n",
       "Yppe6lROivCgDEOPxwNd17kfkAReJpPhPk06Bt0vurfq8avVKhqNBk/9nJ6exrp165BMJrn3ks7p\\\n",
       "8/k4a5H6AlXhSsekHkKakEr3Wt1uGAbq9Tq/6BjT09Pwer3s0KpCX9g+4hAKgrBYEEEoCHshq1at\\\n",
       "gt1ux0c+8hH8+7//O0ZGRnrebzQaePTRR3HrrbfisMMOw3XXXYfTTjttD61W2BUovy8YDCIQCPQM\\\n",
       "B6GJnrOzs5ienka9XofP50O73eZhI9QP1263oes6UqkUUqkUOp0OgsEgi0t1AA3Q+2VYnfJJ79F2\\\n",
       "+lPtVfR4POzwNRoNjomgMsb+0kfVlVQHyZB4o200PEUtR6WoCyqvdLvdPHDG4XAgHA7D5/Ox00Yv\\\n",
       "tUeQPkv9gySaKEKDju/z+TjqQ425UKeAUsxEpVJBLpdDOp1GNptFsVhEq9Xi++xwOFjkqmKQXFtN\\\n",
       "0+ByubiXslarodPpsENIz4GcY1oPTVolgVgul5HNZpFOp7nnVBAEQRBURBAKwl7It7/9baxZs2ab\\\n",
       "72uahre85S14y1vegm9+85vYsGHD67c44TUlEAjAYrFwySW5cdQ7WCwWkU6nMTs7y8Nc7HY7gsFg\\\n",
       "TzRFo9FAPp/Hpk2bsHHjRnS7XQwNDQFAT8wCgB7Xq5/+KZUkBgk1a89isfA0THL6aDgKuWitVosH\\\n",
       "r9hsNlQqFe6x689IpP43dVqpKoJILHo8HnYnR0dHEQ6HoWkaf051QWlqaSAQQCAQYMFHx6P+O03T\\\n",
       "UK1W2XVVHVfK/8vlcrw/CfVUKoVisciCrtvtcnA8xUuUy2U0m00uudU0DV6vF36/H263G4ZhoFQq\\\n",
       "odVqsUNILqnP50MgEODhNrVarUesUtlqNpuF1WpFuVx+LX8939CIQygIwmJBBKEg7IVsTwz2Ew6H\\\n",
       "EQ6Hd+NqhN0JlfnRUBhyiUgEUZA7xR7YbDYue5xr4iQNWwEAn8/H4kvdt9/5mwtVPPbvpzp4tE7V\\\n",
       "waLzUGYgOWVWq5XLNpvNJpdmqiHx/etRj0O5heRSmkwmdgrV41DZJ7moNPSGguUpR9AwDC7TpFgL\\\n",
       "KtEEtvQo5nI5pFIpZLNZXruu6ygWiyz61GumEHp6njSdVF0b9Va63W6eYkqTTtXJrR6PB36/n4V2\\\n",
       "uVzmMloq++12u+xaikM4f0QQCoKwWBBBKAhvEKgUUJ0aCQArV67cQysSXgvIFQTAQqJer8Nms/WU\\\n",
       "F9JETrUckoQjABYL+XweuVyO+xJJEJJg2R79TiK5UKoo7HcZScCQGFJfzWYTtVoNxWIRuVwOpVKJ\\\n",
       "SzNtNhuXvvaXkqpCh+4JDZSpVquwWq0Ih8Nwu90YHByEz+fj8lKKavD7/YhEIhzlMTw8zHEdVGYL\\\n",
       "gPP/aPgL9W5SfuDU1BQ2bNiA6elpzhCkZ1Uul1EoFFCv11kI03VTKSoAHtJDQtDv9/PQHLfbzc+H\\\n",
       "8gzb7TYcDgfi8TgmJiYwMDCATqfDmYwUVE/h9FQqqv5jgPDqiCAUBGGxIIJQEPZynnjiCZx11ll4\\\n",
       "/vnn53RtxBHYu1H72RqNBrt/Ho+He+RGRkZgNptRLBZZDFEYfH9JJZUkUt+cKrDUYTL90BdeNX9P\\\n",
       "7WWjc9F75F5SzyDtS3/Suig8PZ/PsyNHgmzJkiXweDwsBkkwkUgkkaQKr2KxiG63C7fbjVAoBL/f\\\n",
       "3+MQWiwWOJ1OhMNh6LqOVquFeDyOeDzO5aAWi4VjIei66vU6crkc36disYhNmzZh/fr1mJ6eRj6f\\\n",
       "Z2GnunJUKkolr+p9ViM46JrcbjcCgQDC4TD3jNLnO50OLBYL2u02PB4PRkZGMDExwaW/Ho8HVqsV\\\n",
       "brebHVafz8fTYclFFOaHCEJBEBYLIggFYS/nYx/7GPbdd1/88z//M4drC28cKPJAFWLkDNKkTafT\\\n",
       "iUgkwtNDSQypMQNms5mFEA1Jicfj8Pv9cLlcPVM7VSeQ+vJoDdTDqJY6krghaMBKpVLhnkC6FvV6\\\n",
       "1F5ImhDabDYBgPMHw+EwnE4nB7XToBXq86NoiGKxyAKMchvnuibVIYzFYmi32wiHw9yjSaW5wJZY\\\n",
       "DHIri8UidF1HtVrF7OwsNm3ahFQqxXEYJPrIFW02myzm1FxBEn1qjAf1WlL/oNfrhcfjgdvthtls\\\n",
       "5mfk8/k4O3FoaAixWAyRSIRLTc1mMzweD+r1OpxOJwKBAE9xbTQa0HV9t/2uvtEQQSgIwmJBBKEg\\\n",
       "7OWsW7cO//7v/45ly5bt6aUIu4FQKMRur9PphMvlgqZp0DQNbrcbJpMJbrcb4XCY+wYp9F110mgw\\\n",
       "zeDgIIsfdcpo/4RNNcdQdQ3JxVMz8+x2O4s0YEu5ZDqdRjqdRqVSgcVigd/v53JQmjSq9jCSwEyn\\\n",
       "0wAAXdcRiUTg8/n42tUIBRr6QoJQLad0uVy8dvWLPWU6Op1OLv+kTEFaA4lVAHA4HJwdSGIwlUph\\\n",
       "enoa6XQauq5zT5/D4eCoDJoaSvfNbrfz8Jp4PI7h4WHEYjFomsbOZrlcZoeUnFC6buoFLpVKHKdB\\\n",
       "/ZE0adTv92NoaAiaprFopOFCdL9IeO7t3HPPPXj44Yd36zlEEAqCsFgQQSgIezlve9vb8PTTT4sg\\\n",
       "fIMyOjrKgpBKACkmgko+1XB3ihwAeuMiyO2iSZo0kMTj8XAWIZVHUo8cCUk6Dwmler2OfD7P2Yce\\\n",
       "j4f73SgiIZPJYMOGDdiwYQPy+TzsdjtisRgGBwfh9Xq5BJOmZ5KIpYzAQqHArhyVPfr9flSrVXi9\\\n",
       "Xo6goKEutD/lL/p8vq2G0dDfSUCRSKKBOzToxWQy9Uw6dTqdAIBKpYJSqYRsNot8Po9qtcqC2Ofz\\\n",
       "ccSFYRhcAkuOLgm2kZER7Lvvvli2bBlisRjsdjuq1SoymQwSiQTy+TwajQYLDIvFwiKY1kWuK01u\\\n",
       "JWEOAG63mwW86hCq/zggCIIgCCoiCAVhL+eGG27AWWedhWeeeQYHHXQQuzTEySefvIdWJrwWjI+P\\\n",
       "89/NZjMcDgc8Hk9PJAP1odF0SRIi6gAXYEskhOo8kTNIJZ9qCWe3290qfL3dbqNSqWBmZgYbNmxA\\\n",
       "rVZDMBjE6OgootEoB68nEgm8/PLLePnll1EoFGC1WpHJZFCpVBAKhdBsNjEzM4NcLodWq9XjMlIP\\\n",
       "bKVS4R7DarXKZZkUyE4RDtlsFtlsFs1mk3vtIpEIut1uT/Yg3UMqcaXyUAqpJzFKfzYaDRbEdG7q\\\n",
       "iyQnlpzWoaEhDA8PIxgMotlsYmpqiie/kuvn9/sxOjqK5cuXY2JigiNFGo0GO4sAkMvluHyWXEa3\\\n",
       "2w2n0wnDMKDrOkqlEkdcFAoFLo0lJ9jpdMLtdvPn+sthhVdHHEJBEBYLIggFYS/n0UcfxcMPP4z/\\\n",
       "/u//3uo9GSqz9zM6Ogpg6/B3EnAk/ujvAFgA0QASysyjqaOqS6YGwNPQkUwmg3Q6DcMwEAwGuUeN\\\n",
       "xEs2m8Vzzz2H//mf/0GxWITf78eKFStwwAEHIBAIoFQq4aWXXsLzzz+PTZs2Qdd1WCwWFAoFlEol\\\n",
       "BAIBdDoddvY6nQ7cbjfi8ThHpBQKBe7PoygKABwToQbdFwoFzM7Ocq9iq9XiyZt0z/r7IKmnjyZy\\\n",
       "6rq+VdRFp9PhUk/DMFCtVllMUiREOBzG8uXLse+++2JwcBAulwuVSgVerxe6rrNo83g8GB4exooV\\\n",
       "K7DPPvsgEonA4XBwvyOJe3qe2WyWz+fxeBAMBrknkgRfOp1GKpVCLpdDt9uF0+lEMBhENBpl95cE\\\n",
       "P7mGcw0MEuZGBKEgCIsFEYSCsJfz2c9+FmeccQYuvvhixOPxPb0c4TWGyhWBXlGoDnhRJ372f/FX\\\n",
       "/1GA3D8SGf0B9J1OB7quI5lMYmpqCgB4SA315JFDmMlkkEwmUSgUUKlUuM8NAIrFIjKZDJdVNhoN\\\n",
       "WK1W1Go16LrOTiYNkgE2RyWoPXCZTKanV1EdPEOlrOowG+pJpImgapSGmq9IOYJURkuOOpWOqsem\\\n",
       "MlYafkNlpuTUuVwujI2N4YADDmDHz2azwe12o1KpIBqNIp1Oo1arIRQKYWhoiKeZUgknsGXQDZXe\\\n",
       "0j0rlUpoNpvskNKUUYvFwsN1rFYrGo0Gf4YcS3q2dG30+yMlo/NHBKEgCIsFEYSCsJeTzWbxhS98\\\n",
       "QcTgGxS1BFjtDaQ/KdeO8u9sNluP4wSA+/5ocInNZoPX6+0RmMBmwVgqlTA5OYl169axixiJROD3\\\n",
       "+1lcUi5fpVKBruswDIPdP6/Xi2q1Cl3Xe4QZgJ7Q9f7hLSTQvF4vxy3QmqnsstFooNls8pRVEl8k\\\n",
       "jOh41DdJIo9EpGEYXMZJTinFTJBQpB5MNSQeQM+wGr/fD7fbjWg0yuWf8Xicoz5sNhsGBgYwNjaG\\\n",
       "crmMarWKoaEhjI2NIRQKweFw9MR0AFvKgakXkdZMa2o2mz1TXUmY0rOm+6neb/r9UCfFCvNHBKEg\\\n",
       "CIsFEYSCsJfznve8B/fffz+WLl26p5ci7AasVmuPwFFD3kkk0fRLADyJ0+l0cp4eOXobNmxALpfj\\\n",
       "YSM+n4/PYxgGWq0W8vk8JicnMTk5CU3TEAqFUKvV0G63YbFYWJyo00FJdKhDbFRXjnrtfD4fBgYG\\\n",
       "EA6HWTRSZAOJPZPJxOuniZ7lcpnfJ0Fos9ngcrnQ7XYRCoVY4DYaDe6vpBJYcssoy5EENDmMavxF\\\n",
       "o9HoWTdlNppMJr5uKrkdHBzE+Pg4YrEYD26hc0WjUSxbtgyGYaBWqyEej2NoaIizAume04tKgZ1O\\\n",
       "J/x+PwvCer3eIyBpoin1g7pcLrhcLtRqNc5qVMte1V5SEpfC/BBBKAjCYkEEoSDs5ey777648MIL\\\n",
       "8dBDD+Hggw/eaqjM5z73uT20MuG1gFwhVQRSvEK9XkepVEImk0GhUIBhGPD7/YhGo/D7/bDb7Wg2\\\n",
       "m0ilUtzTl81mOX6C8veALYKQhrQUi0W4XC5250gkUTQDbSMhQ5ELFNGgDqsxDAMejwdDQ0PYd999\\\n",
       "EYlEkMvluLSUXDsaHGO32+H1etFsNpFIJJDNZtnpq9frnKNI8RnxeBzJZBJWq5XLVy0WC5db1ut1\\\n",
       "vr5WqwUAPSH3AFiANRoNHixD+X804ZW2+Xw+OBwOxONxxGIxnvpKLqXZbIbf78fY2BgcDgfq9Tr3\\\n",
       "AdL56J6rLwB8L71eLwtYcgPV6A8S2V6vF8FgkJ3JcDgMr9cLh8PBAp7ubbValWB6QRAEYStEEArC\\\n",
       "Xs4NN9wAj8eD3//+9/j973/f857JZBJBuJeTTCYBoMflIaeMnL/Z2VlkMhl0u13uw4tGo1x2OT09\\\n",
       "jeeffx6vvPIKSqUS3G43JicnMTQ0BL/fz31yzWaTSz3V4TM0nZJKGFUxSE5dIBCA3+9np87n83Fm\\\n",
       "IgAEg0FMTExg33335Wy8RCKByclJVCoVNJtNFiwmkwkejweGYWB0dBSJRIKjFciZtFqtvE+9Xkc6\\\n",
       "neZ4DBJxVHIKgMWgYRg8zVTTNDidThZxdO26rqPT6cDr9cLlcrFzZ7fboWkaD58JBAI9gfZqma7T\\\n",
       "6UQoFILdbudppXSu/kFAqiAEwOcDwAKZshfp87Qfla6q2ZJ+vx8Oh4M/32q1UC6XkcvlUC6Xd/ev\\\n",
       "7BsGcQgFQVgsiCAUhL2c9evX7/Zz/NM//RO+973vIZFI4G/+5m/w//7f/8MRRxyxzf1vv/12XHzx\\\n",
       "xdiwYQOWL1+O73znO3jnO9/J7xuGgUsvvRQ/+clPUCgU8OY3vxk/+tGPsHz58h1e26uFbH/rW9/C\\\n",
       "29/+9h0+7kLh2muvBbDly6k6AKZarSKbzWJ2dha5XA6dTocHuRQKBTidTjQaDczMzGBqagrZbJbL\\\n",
       "P2dnZ5FMJhEIBLi0kPrdTCYTnE4nZ/9RySK5lP0ZhV6vF+FwmDPvTCYTl3EWi0WYTCYEAgEMDg5i\\\n",
       "YGAAPp8PZrMZsVgMbreboyfIxep0OlyqOTIygpmZGRQKBQ5up345cuVosib1OJIrWavVeJAMOZ0k\\\n",
       "cMlRo1gNEtmFQgGFQgF+v5/7/TRN4+PabDYWpCQW+8UACWkSgHa7nV09uoeqeFSh3kVyWIEtfaHq\\\n",
       "IBq1pNXv98Pn8/VMILVarVzeSy5huVxGPp/fnb+ubyjeCIKwWq1iYmKC/2FJEARhLkQQCsIblNnZ\\\n",
       "Wdx000244IILduk4t912G84//3xcf/31OPLII3H11VdjzZo1ePHFFxGLxbba/5FHHsHpp5+OK6+8\\\n",
       "Eu9617tw880349RTT8WTTz6Jgw46CADw3e9+Fz/84Q/xs5/9DBMTE7j44ouxZs0aPPfcc+xsCJv5\\\n",
       "7W9/y+KFsgMpdqHT6fBwFyq3pKiFZrMJTdPQaDSQTqc5AJ4ESaFQwMzMDNxuN2cOplIpFItFHu4S\\\n",
       "iUQQCARYNKlllyQIKV8vFArB5/PB7XYDAEKhEPx+P7LZLIDNgen0vsvlQrPZRCQSgc/n65mUWS6X\\\n",
       "0Ww2OVg9FouxKKSyThI5lDNI0RCUq0ilrbVarafnsdPpcDkmiTbqIWy32ygWi5idnUU+n0er1cLw\\\n",
       "8HBPgD0AHtwCgAUeZQUCYDeVxDsJM+q3JDew31Ek6FlTD6Dq0qpOLR2HRCGVmlIZLD0vNc6C1iHM\\\n",
       "jzeCIHS5XEilUnt6GYIgLHBEEArCXs7HPvaxObdv3LgRf/rTn3ZZEH7/+9/Hxz/+cXz0ox8FAFx/\\\n",
       "/fW488478S//8i/4yle+stX+11xzDU488UR8+ctfBgB84xvfwN13341rr70W119/PQzDwNVXX42L\\\n",
       "LroIp5xyCgDg5z//OeLxONauXYsPfOADu7TeNxrPP/88iwSXywWfz8cDYUhIUfmmOgUUAOcGkhik\\\n",
       "Ek+bzYZqtYrJyUnOyDMMg3v6qOQzFArB4/HwUBVy5/qndPr9fgQCgZ4S0UAgwNtUx49Ejt1uh9/v\\\n",
       "517Her3OPZFUsknTUGOxGCKRCIrFIjt/5XIZlUqFB8fQsBQaHtNqtXgADTmE1BtI4o4GtTSbTZRK\\\n",
       "JSSTSczMzKBUKsFisfAAGTUegl4kBFXI0aPjqi8q+QXA10b5jyQm+kt0KUtSXQOJQXUCKd1TNS5D\\\n",
       "3UYOI72E+fFGEITA5t+jQCCAQqGwp5ciCMICRQShIOzl9JeAdTodrFu3Ds8//zyuu+66XTp2s9nE\\\n",
       "E088gQsvvJC3mc1mnHDCCXj00Ufn/Myjjz6K888/v2fbmjVrsHbtWgCbS1wTiQROOOEEft/v9+PI\\\n",
       "I4/Eo48+KoKwj1KpxGWEtVqNhU2r1eI8PDWAnQajkBtFU0jJxSJxQL2FyWSyJ88Q2DJwhfrS6H0a\\\n",
       "ZKNm4rndboRCIY6KoP19Ph+CwSA8Hk9P4DtBWXr0OSoHVd1OWovH4+GSSHIRk8kku4K6rqNcLnM5\\\n",
       "LK2VegZbrRbfO8MwuFeQfqbjTU1NIZVK8RAYEttEf5wFOZTq0B26NlUEkjil9ZArSdNSScDRc1bF\\\n",
       "nCoG1RgJ1fEjIdk/tZQG/tA0Up/PJw7hDvBGEYTdbpdLt00mExwOByYmJvDss8/u6aUJgrBAEEEo\\\n",
       "CHs5v/rVr+bc/s1vfhNr167FJz/5yZ0+diaTQafT2SrjMB6P44UXXpjzM4lEYs79E4kEv0/btrXP\\\n",
       "XNAkSqJUKs3/QvZiSOwBYHeuXq+jVqv1uIL92YT0pzolVHWRKIRejY1Qc/lIjADoibqgCaMkbDRN\\\n",
       "4yxAEjdq3qCmabwvXYcas0C9cuSq9ecBAuB4CNXRq1QqKBaLLFIpTkK9dnLkqGSUpo3qus4viuWg\\\n",
       "HsVarcaCm0pjSQT2x2q0222+JuovJLdWnQyrTodVS0ZJxBH0PEkY9peV9g+fUdelCkX1eCQW6XnQ\\\n",
       "sBph8UC/E3/84x/xjW98A3/605/w4osv7uFVCYKwkBBBKAhvUE4//XRcccUVe3oZrxlXXnklLrvs\\\n",
       "sp5tl1566R5azeuHKjAA9IjAer3OokIVAyQO1FJJVcDR5MtarYZqtcqllZqm8XRQOg8dw2QyoVar\\\n",
       "Qdd1NJtNnnAZiUQQj8cRCARY3JlMJrhcLoRCIYRCIei6Drfb3ZO/B4DP5/V6kcvl+HrVWAvV8SK3\\\n",
       "r1KpIJVK8TRS6qUkYQigx1nTdR2FQgG6rnOZbafTQblchs1mQz6fxyuvvILp6Wmewlmv1zmyQs0q\\\n",
       "pLWR49ftdntKRUnokrhtNpt8r+v1OrrdLofJ07AZQi0dpRc5hnTf5uoLpOfULwpJDNKwGRqMI8yf\\\n",
       "hez8bQuTyYSVK1fi6aef7tm+cuVK3HnnnXtoVYIgLGTk/xkE4Q3K008/jVWrVu3SMSKRCCwWy1YT\\\n",
       "6pLJJAYGBub8zMDAwHb3pz+TySQGBwd79jnkkEO2uZYLL7ywpxS1VCrhhhtu2KHr2RtRv5DSgBQA\\\n",
       "PFyFnDMAPW5Sf14gOVI0gITC7Eng0TGdTieLCuqtI+ewXq+jXC7zfm63GwMDA4hGoxyLQOWSTqcT\\\n",
       "4XAYQ0NDKJfLCIfDPQHrwOaeO+pVpKxBVeD2u2uqy1YsFmG1WnmSaK1WYycQADuHJBYLhQKq1SqA\\\n",
       "zWXW2WwWwWAQNpuNBWY6nWbRWKlUkE6nkUwme6aVkltKa6E1kvhSexTJ0a3ValwK2+12eSiQWtoJ\\\n",
       "zJ1L2P87QEJR3TaXi0mfI7fW7XZzuaAwP/bmktGjjz4awOZKka997WsAgNHRUeRyuZ4yaEEQBEAE\\\n",
       "oSDs9fT36wGbxdUdd9yBk046qef973//+zt0bLvdjkMPPRT33nsvTj31VACbv3zee++9+MxnPjPn\\\n",
       "Z4466ijce++9OO+883jb3XffjaOOOgoAMDExgYGBAdx7770sAEulEh577DGcc84521zLYh2IQe6T\\\n",
       "KhBIDPZPq6QSQbWkkRwlEgZUEtpfntnvQrbbbRZ/xWIRDocD3W4X1WoVmqaxmAoGgxxzoDpcmqYh\\\n",
       "HA5jfHwclUqFIynUKZwkCCORCEdiUKi8KgpVQaiWgaolr1TqSe4frYfKS8nt63a7KJVKyOfz7NS1\\\n",
       "223UajXuQST3cHJyEv/zP/8Dn8/H95ayC0m40vro3nW7XY6HIBeXHMpischZkdT/Sc9OHRIDgJ8X\\\n",
       "9WRu76XS7ySTY6k+F2F+7M2CkCJ8LrroItRqNVxxxRU4+eST8dOf/nQPr0wQhIWICEJB2Mt56qmn\\\n",
       "5tx++OGHI5VK8cjxnf3Ccv755+Oss87CYYcdhiOOOAJXX301dF3nqaNnnnkmlixZgiuvvBIA8PnP\\\n",
       "fx6rV6/GVVddhZNOOgm33nor/vznP+PHP/4xr+O8887DFVdcgeXLl3PsxNDQEItOYQt+v3+rklC1\\\n",
       "F7DfXep3i6g00e12c9C6WoLZX15IJZ+NRgPZbBbZbJZzCd1uN0/+pPPSJNNarcYTTIHNPXV+v5+P\\\n",
       "5XQ64fV6e4ao2O12+Hw+xGIx5HI5lEolLi2la1CvW/2CTiWcJI7J6STRR6h9l7Q/lb+qg3hIfNI9\\\n",
       "0XUdU1NTPQLP5XIhGo1icHCQBTGJVV3XUalU4HK54HQ6WXjV63UUi0Ukk0mkUim02212SwOBANxu\\\n",
       "N4tzEqU0hZRiRhwOx1Z5hyRQadtcArF/eikNFRLmx94sCK+77jocfPDBAICXX34ZALB06dI9uSRB\\\n",
       "EBYwIggFYS/n/vvv363H//u//3uk02lccsklSCQSOOSQQ3DXXXfxUJhNmzZxySKwuVTp5ptvxkUX\\\n",
       "XYSvfvWrWL58OdauXcsZhABwwQUXQNd1fOITn0ChUMAxxxyDu+66a6fK2V7ti9hXv/pV3HfffTt8\\\n",
       "3IXCiSee2OOUkUCiL6v9Uy/7RZTNZoPb7e4JL280GsjlcpzDR6LR4/GwQ0dljjRp0+VyIRaLIR6P\\\n",
       "w+v1ctlppVLB7OwszGYzWq0WPB4P5xaqgfbqABl6ZtTbFgqFEA6HOf+QBBiJHlUcUfkmTVAlF65S\\\n",
       "qaDVavUIQro3VNqp3heaYqoO4wHQ06tIZaY0cMfj8WB4eJhD6c1mM8d66LoOAHA6nfD5fDyhtV6v\\\n",
       "I5lMYtOmTZienkaz2UQul+PYDXIBKXKjVCqh0WjAarXypFbDMOBwOGCxWOYsC92WU6juQ/dTnfQq\\\n",
       "bJ+9VRBGIhG88soreMc73gEAuP3223Hrrbfu8tRpQRDeuIggFAThVfnMZz6zzRLRBx54YKttp512\\\n",
       "Gk477bRtHs9kMuHyyy/H5Zdf/lot8Q3L3/zN3/QMKKHBJiRwSChSuSG91NByj8eDQCAAj8cDk8mE\\\n",
       "SqWCbDbLPXVmsxlerxehUIjLOhuNRk/fW71e7+lDMwwDhUIB2WwW+Xwe5XIZS5Ys4QEzJCyp1FT9\\\n",
       "cq1O0aR8xUAgwKKLnEi1TNPv9yMcDrMjSPEaNBiHojXoPaLfXVW3q6KJRDatiVzKcrnMfYv1eh1O\\\n",
       "p5NFqcm0OaQ+l8shlUqxS0pCzul0otlsYnZ2Fhs2bEAikUCr1UKxWITFYoHT6USn04HL5UKj0UCh\\\n",
       "UEA+n0e9XofNZoOu6z1DhcjdU8tnt3Vd6jXRPV9IomVvYG8VhOl0GsuWLcPs7Cx+/vOf433ve1/P\\\n",
       "NFxBEIR+5H8ZBGEv5MQTT8TXv/51/O3f/u129yuXy7juuuvg8Xhw7rnnvk6rE15L9t13357MOSp/\\\n",
       "JHFIwrBfdKmRDQ6HA263G5qmcQlkIBBgR8/tdiMWiyEajcJkMiGfz6NSqUDXddRqNXbIKNqB1lEq\\\n",
       "lZBIJNBut5HL5VAoFFCpVDA8PIxIJMLTSmmd5PaRA6hO6aQppSReqXcO2FJ+OjAwAIvFgnK5jHK5\\\n",
       "jGq1imq1yv2Baj9fv1AitvXFncQgrcHtdgPYPICGnEg1S5Cug0RjMpnkrDe32w2fz8eCL5PJIJFI\\\n",
       "IJ/PcyYina9arbILSI5rq9WCzWZjZ5CcVipDpcmlzWaT8yX73WF6Zv3XvZCEi7D7oDJRYLNAPOKI\\\n",
       "I9BsNiV7UBCEORFBKAh7Iaeddhre+973wu/3493vfjcOO+wwDA0NweFwIJ/P47nnnsNDDz2E3/zm\\\n",
       "NzjppJPwve99b08vWdhJ/H4/ALBLqEYYkBumBs7TFFEAPVl8VBpKgikcDnMZYSwWw8jICPx+P5eJ\\\n",
       "UvklTSBttVqoVqsoFAo8aCadTiOTyfA00mq1yrmHnU4HPp+PhY46YZPKSsl5NJvN8Pv98Pv98Hg8\\\n",
       "8Hq9LBhJTDocDoRCIS5vbbfbKBQKaDabPREQ/SWVhCqW1aB3tQTXZrPB4/FgcHAQoVCox4GlDEP1\\\n",
       "flM/pJplSFNNi8UiZ/6Vy2UWrXRvUqkULBYLms0mYrEYD5mhUlZ6VvQPAHa7ncV/f9C9xWLhXkZ1\\\n",
       "6iz9XVzCnWNvdQj7iUQiWLdu3Z5ehiAICxgRhIKwF3L22WfjjDPOwO23347bbrsNP/7xj1EsFgFs\\\n",
       "/mJywAEHYM2aNXj88cex//777+HVCrsClT9S+STFR1DJpRor4PF4WGyRUKFAdrWMlEo0SdQMDg5i\\\n",
       "eHiYQ+QpckJ1oDqdDqrVKlKpFPL5PAvCYrGITqfDLhrRarXg8/nQbDaRyWSQy+XQarXgdrsRCoXg\\\n",
       "9/s5foGEGAlaGtZSr9e5JJSiLohqtcoDb/qF4FzuIDly6uAcNTqCHLhQKITx8XEsWbKEp5eSkAPQ\\\n",
       "40KqU13JNSXBTvePrkUt46QBMvl8nnsD/X4/T4Clfkv6me6vGr1BYpCun47darWgaRqH0Nvt9q0G\\\n",
       "0gjz440iCAVBEF4NEYSCsJeiaRrOOOMMnHHGGQCAYrGIWq2GcDgskwTfQBQKBRYzVBpI4k4duqJp\\\n",
       "GlwuF9xuN5xOJwtCGiJC0yuBzWWkbrebP0v9fiT6qBxTdSApcoIEUaVSQblcRrPZZFFiNptRKBQ4\\\n",
       "/N1ut3PGX7FYRLvdhsPhgN/vRygUQiQSQSwWY4eMcgxJXFFJKIlN6l/0er3w+XxwuVw9U0sB9JRJ\\\n",
       "Alv66EhkUTmo2WxGrVZDuVxGrVYDsHkgTCQSwejoKCYmJtDtdpHJZFAoFLh0ltzAarXKApWeDZX1\\\n",
       "quWnJMaoxFMVzeokVXI+KRrE6XTC4/HA4XD0lN2qbihlEqqZk51OBxaLBT6fD+FwGH6/vyeWRJg/\\\n",
       "IggFQVgsiCAUhDcIVHInvLFYt24dLBYLuz7kbqmljuQqkftFPXpq2SEAFpPUb0hCodFooFgs8gCU\\\n",
       "TCYDXdfRarUAgKdbkmNXr9dZMBqGwecmZ5H+cYKyDFVBZbVakcvlWGiRo0XZfuRqlstlFItFdgft\\\n",
       "djuLRk3T4Ha7uS9SdeHoutQ8RrPZzCWnS5YsQSwWg9VqRTabxeTkJFKpFA93CYVCiMfjiMfjMJlM\\\n",
       "GB0dxczMDHK5HGq1Gg9/yWazPDDHbrez+AO29G9qmsYRHSTc6H31GtxuN8dV0Iu2kyCk0lFyeylK\\\n",
       "gqJH6Bnm83l0Oh2Ew2EsXbqUn40Ilh1HBKEgCIsFEYSCIAgLmAcffJAnUgYCAYTDYZ7iSe4YuXZq\\\n",
       "tIL6ZZYcJFXMZbNZNBoNmM1mlEolHtYyNTWFmZkZVCoVNJtNdr+oZFEtjex2uyxI1FLMWq2GQqEA\\\n",
       "Xdeh63pPOSk5c5VKhUUiCU6Px8M9eOl0GrlcDs1mEw6HA8FgEJFIhAUODcpxu92o1Wo9WYE0pVQV\\\n",
       "w8FgEPvuuy9WrlyJ4eFhWCwWpFIpPP300/jLX/6CXC4Hr9eLQCCAYDDIg20mJiYwNTWF2dlZvneJ\\\n",
       "RAIbN27k+Am/349YLIZyucx9m5S7GIvFOHPQ4/GgXC5z+StdEz1PKvtVYyuAze4uiT3quaRhM1ar\\\n",
       "Fd1uF7lcDhs3bsTGjRtRr9cRjUbRaDR6ciGpjDUWi+2B3+S9j90tCK+++mqcf/75PSXOp556Kn71\\\n",
       "q1/t8LEEQRB2BRGEgiAIC5hEIgGTyQRN03gCJfUSAuAMwv6Jow6HgzP6KPCcyjwLhQKSySSXe5Jo\\\n",
       "oDgKEoMk4qh/jvruVHFntVrZtaPJoGrvIvUhqv1u9PdqtYpisYhMJgOHw4Farcb5f8lkkoe0kMDz\\\n",
       "+XzsbtJ61JJXTdMQjUYRDoehaRpn+1EY/D777IPx8XHE43FYrVYWk9lslt1LAD1DZnw+H3w+H4uz\\\n",
       "drsNXddRKpVQq9VYREajUeTzee4fdDgccLlcLPTIzfN6vQDADqE6iZWeYX+/YaVS4QE+FElB90LT\\\n",
       "NHQ6HV4T5Rg6HA5+3larFe12G9lsFtlsFm9605tej19dYTvceeed+MIXvgCTyYR3vetdOPTQQ/Hr\\\n",
       "X/8aK1as2NNLEwRhESKCUBAEYQFTrVZZiFksFng8np5+NOopo7iDSCSCeDzOvWPVapWnXhaLRWSz\\\n",
       "WY5BoM+REGo0GtB1vWcIDQnOfkFHA22oL48cS8pEVGMxgK0D1GkAiq7ryOVysFgscLlcaLfbKJVK\\\n",
       "yGQyqFQq/Fm6XnVN1C9HrprX68XY2Bji8Tg0TYOu68hms6jVavD7/YhGo9x7SCWug4ODGBwcRC6X\\\n",
       "47JMcjWpRJf+BMD3nNxViphoNpvI5/Mc1UEDftSyT2BznyKJV5vNtlUprvpcbTYbGo0GUqkUpqam\\\n",
       "kE6nWWyGQiEe3AOA+wrp2C6XC5qm8VCfZDKJl156CVNTU/jUpz71uv4O7w6OP/54HHfccbv1HLvT\\\n",
       "Ify7v/s7AFuGRgHA17/+9R06hiAIwmuFCEJBEIQFDDli/aWgNNyEQuFbrRbsdjvC4TBGRkYwODgI\\\n",
       "l8uFZrOJQqGATCaDbDaLdDqNbDaLXC7Hzp/qNtJwkv4wd/Xv/UNaaGKoYRioVCo9vYrUz0cvClmn\\\n",
       "Y9brdY6yoJ68Wq3GwpRKIqkPD0DPEBUSZbFYDOFwGGNjY4hGo7Db7dB1HQ6HA8VisafEksSspmnw\\\n",
       "+XyIRCJwu91oNBrskhaLRdhsNu6jVNeuTmv1+/0cCVEoFLis1OPxIBaLIRAIcD8jleBSuavZbOay\\\n",
       "WrpvmqYhnU7D4/HAarWiXq8jnU4jkUggl8txBAfFWLRaLXYZXS4XIpEIbDYbhoeHEY/HYbPZUCwW\\\n",
       "sXHjRrzwwguYnp5+XX5v3wjsTkFIA5/Uz4XDYWQymR06jiAIwmuBCEJB2Ms566yzcPbZZ+/2fy0X\\\n",
       "9gxq3AQ5P2oOXyKRQLFY5H4xEhbA5kFD3W4X2WwWqVQKyWQS2WyWMwNJ2KhTOkl8WSyWnhgH1emj\\\n",
       "fkGPx4NoNIpIJAKn08nxDHQ8El7kslHZJfWy0XF1XWdxSD2RNKyGrtnpdHJAe7fb7XFGnU4nwuEw\\\n",
       "IpEI9+TRGkmYAuDz0c/UixcIBOD1enkYTiaTQSqVgtls5lxG2p8G+Njtdi4J1TQNrVYLg4OD7GbS\\\n",
       "vXE6ndxDWa/XAQAejwfBYJDvDfVTUn8hrd1sNvOQHnXAjs1m4wE3nU4HsVgMmqYhEokgGAzC5/Nh\\\n",
       "yZIlGBgYAACUSiUWnbQG4dXZGUH41FNP9WwfHR3F0qVL5/xMp9OBzWbDe97zHtxzzz3IZrMYGBhA\\\n",
       "IpHYtYULgiDsICIIBWEvp1gs4oQTTsDY2Bg++tGP4qyzzsKSJUv29LKE1xDqZ6MoAqvVyoNbCoUC\\\n",
       "KpUK2u02Cy+KayDhSH16NNmzXq/3CA8aHAOgRwRSPyKVgZKzp07tHBkZwdDQEDtx1PNWr9dhMplg\\\n",
       "t9sRCAQQiUTg9XrZSaN+O7UUldZEogsAu17hcBherxd2u52FJzmcNM3T5/Nx7Aa5npTzR6Wg1WoV\\\n",
       "Xq+X3Rm73c59gFSSSUIbAPdCUkQH9XPScen5OJ1OxONxnipKA2JMJhM/HxKwwWAQAwMDsNvt8Hg8\\\n",
       "nElIJadqaazaj0nZg2q/KK0rHo8jEAhwzmM8HofH40Gz2eR8RxKwwvzYGUH4xS9+sWc79bJui2az\\\n",
       "yX+3Wq1IJpM7sVJBEIRdQwShIOzlrF27Ful0GjfddBN+9rOf4dJLL8UJJ5yAs88+G6eccopkEu7l\\\n",
       "0JdSGuBCEQI0QVMdREL7qgKP+vlUUUG9d+R0kSgEektDSQySQ0buH2XmkdMViUSgaRrMZjNyuRy7\\\n",
       "gVRWGQqFMDQ0hGAwyDETtF4akqNGZpA7SXmJNHWTRBi5hOT0kdOmXgu91HLNer3O90zTNL6/FBth\\\n",
       "s9nYvaxWqyzkKOaBBCGFvauOI4lCWoPT6eTrpDJPcjhJLNL7VHKr9inS5Nj+YTNqDyWVp1LPJ5Xx\\\n",
       "kmtJw2TIXaY4C2F+7IwgvOqqq7Bq1SrePjo6+qqfIXw+H/L5/E6sVBAEYdcQQSgIbwCi0SjOP/98\\\n",
       "nH/++XjyySfx05/+FB/+8Ifh8Xhwxhln4NOf/jSWL1++p5cp7ARUpkjuH33JJxeQXCOKpvD5fPD7\\\n",
       "/TzZkqZiUph6o9GAYRg9+5KjRl9Q6XwAuMePShbVXrWRkREsW7YMIyMjsNvtnIFXrVYBbBY2kUgE\\\n",
       "y5cvx/LlyxEIBNBoNDA1NQWPx4NkMsmlq3R9JMwsFgvsdjtHOsRiMXg8HrRaLZTL5Z4yVhJgJERJ\\\n",
       "uJEYpJiNWq3WE0tB56FeSKfTiWq1yo6dKijdbjeCwSC63S7C4TBHZNA9sdlsCAQCPG2VSj7b7TZH\\\n",
       "cdDQF5qESr2EdByK8iiVSuziUi8nCXyi3W5zHEWhUEAoFOpxWGlCKfVA+nw+DA8Pw+Px4KGHHnq9\\\n",
       "fn0XHatWrcLxxx//qvupvbREqVTaXcsSBEHYLiIIBeENxOzsLO6++27cfffdsFgseOc734n//d//\\\n",
       "xQEHHIDvfve7+MIXvrCnlyjsICRcyDkjx4hEQ6fT4TJGcuyovJLKCyl2otlscpmhy+VCOBxGNBqF\\\n",
       "x+Nhh5CEJTlY9XodqVQK09PTLPi8Xi+Gh4cxPj7eM7zE6XSi2WyiUqmwkFqyZAlWrFiB8fFxuFwu\\\n",
       "1Go1AJvFIg1+oX5Bu93O7hvFSYTDYcRiMR7eUqvVUCqVWHCRCKIyTvo8Ua/XkcvlMDs7yw6rz+fj\\\n",
       "a6RrVo9Xr9dRLBY5JoLKQakElEpgaZgM9fV5vV52+ugLf6vVYuHXarVgtVrh9Xp5+igdgyaMkriv\\\n",
       "VCrsWNKQH3IOaaAOuYSVSoUFv67rPc5gq9VCs9mEz+fD2NiYlJPvALtzqMy73/1u/Od//idcLhc+\\\n",
       "+9nP4uabb0an05HnIwjCHkEEoSDs5bRaLfznf/4nfvrTn+J3v/sdVq5cifPOOw8f/OAHeST9r371\\\n",
       "K3zsYx8TQbgXQq4gRRRQRqDaC0iDXijbzu12Q9M0FoLkPlHZIQnCYDDIgpC+0FLGXTAYZBeMpmVS\\\n",
       "dqHb7cbw8DBisVhPjAOweVLi0NAQgM1Ca3h4GIODg9y3R+WaXq8X7XYbHo+HyzFJ9AKb+6nUoTUk\\\n",
       "Wu12O8rlMrxeLzRN6yn5pF45uledTocz/GZnZ/k+RSIRFpjqxNNOp4NGo8G9iXa7nV1UGtBD61L7\\\n",
       "FakU0+VycVkolXaSw6uWtZJotVqtMJvN8Pv9GBoa4nNTjyYJeCoRpemrlUqFhSiVBNNQGmBzXzGV\\\n",
       "9tLvhcfjQTgc5sE+wquzOwXhHXfcgQMPPBDPPfccvvvd7wLY/N/O1NTUDq9TEARhVxFBKAh7OYOD\\\n",
       "g+h2uzj99NPxpz/9CYcccshW+xx//PEIBAKv+9qEXYcEk9Vq5b42+lMdDkPOEZURtlotFItFzM7O\\\n",
       "crkkuYmq6KOSUQAsuEgEeb1eFo9UJkrB6H6/H5qmsVChiIRut8uC0e12IxqNwuVycb9bPp/nzD/q\\\n",
       "LyQxRX19lMWnaRr8fj+LLyrvpME0lK9I/YUkBim/r16vI5FIYNOmTZienubppC6XC16vl11JctNI\\\n",
       "qJH7Ru5eNBrlgTYk7EjckRgkx4/KNamcVR3O0x/lQc+C7hPtY7PZUCqV+N7b7XY0Gg3Mzs5i3bp1\\\n",
       "fJ/p+HQOCqcvFovsFMZiMSxbtgwDAwOIx+PSQ7iD7KjQ2xGeffbZ3XZsQRCEHUEEoSDs5fzgBz/A\\\n",
       "aaedBofDsc19AoEA1q9f/zquSnitIJEEgAPpaZAIOVk0jbJSqXCOGTlpqVQKlUqlJ7ic3CO1z0x1\\\n",
       "sGhwjTrIhAaTAODSShKfzWYTJpMJ1WoVuVwO5XKZnSmaslkul5FOp5HL5VCv12GxWNhdDIVC8Pv9\\\n",
       "cDgc3POn6zqALV/Iyd0zmUzweDwIhUIIh8M8TIVEHF0PZQoWCgXous5um67ryOVyyGQyCIVCXDbq\\\n",
       "drtZ8Oq6zgNtqK+RBsZQb6LqwKmTWvtzFkmoU5g9DQRSxSE5pFTGSv8I4HQ6eeAMldpmMhmk02m+\\\n",
       "F06nE16vFx6Ph+MoSCxbrVaeKkrDZmTK6PzZnQ6hIAjCQkIEoSDs5Xz4wx/e00sQdiMkkqg0kESh\\\n",
       "Ot2y0+mg2WyyiKrVarBYLNxvp4pHotFosAulZvzRlFIALFzIkSRhSWKEylcpQ7BYLKJUKsEwDIRC\\\n",
       "IbhcLpjNZpTLZUxOTmJqaoqdq2AwyO6X1+tlx5FcTBJ11C9H4omcPBJOhUKBeyrJQXQ4HKjX6yiX\\\n",
       "y7xeu93OJZytVosD4WkaKmX3kZAmh5JKdtWcRirrBMDh9ep0U4KeG4lTKvVUp73ScdThQTTkh3pC\\\n",
       "nU4nXC4XKpUKAoEAfD4fO8OxWAxjY2M9GYgAWCjT5FGaOkr/ELC3c8899+Dhhx/erecQQSgIwmJB\\\n",
       "BKEgCMICJhgMsoigMkQ1ckGNISBHinLzKMOO3lND5svlMsxmM6rVKk8cNZvN7JhRVAO5fqlUCqVS\\\n",
       "Cd1ul50rmohZLpeRyWSQzWZRrVahaRqGhoa4vy+dTuPll19GIpHgvkEACIVCXDbZPx2UXM+5ojVU\\\n",
       "Z67b7aJcLiOZTHJZrMfjQbfbRaPRgMfjQTweZ2eOyjtVp476Ag3DgMPh4DB6GtZDIorW0P8nCT9y\\\n",
       "EWliK4n4crnMOYNUrurz+fjYdL9JjFNkBcVt0H5erxeRSASlUoldwbGxMUxMTCAQCLA4LxaLADa7\\\n",
       "y9FoFH6/n6fGvhHE4OuFCEJBEBYLIggFQRAWMMPDw+yAUZlmrVbjMHcqUSTHUHWwVNGifmGl8PhO\\\n",
       "pwNd1+F0OtFqteB0OhEKhXqEZSaTweTkJGZmZlAul2GxWBAOh9kRoz69qakpZLNZ1Ot1aJqGZrOJ\\\n",
       "VqsFu92OVCqFyclJFAoFAJvdK6fTCV3XOTZDLa+k/j9V2FKJJV0vCWESXDRwp9vtIhQKsagaHByE\\\n",
       "xWLhclCLxcJ9i+TmqbmK5DKSkCZXTS2zpYE15NaWy2XuJ6T4CpvNhna7jXK5jGw2i0QigXw+z4No\\\n",
       "qCeRRCA9S4fDAZ/Px6Wx1JfY6XS4j5P+MSAajWJsbAzxeJwnwprNZnQ6HQQCATgcDoyOjiIUCnH5\\\n",
       "Ln1WEARBEAgRhIIgCAuYsbExtFot5HI5Lt+sVqtcGqj2q6mij7areXwECSkAHLxus9k415DETj6f\\\n",
       "x+TkJNatW4fZ2VnUajUWKNFotCfnr1AooFAooNFo9ASsOxwOFAoFlMtlFiy1Wg2VSgWlUgm6rqPR\\\n",
       "aLC4or5EKkelSaDbe1H8AglUNQbC6/UiGAzyMUmMUokq9f4B4NJSupckrNXAe/U+NxoN7ndsNBoc\\\n",
       "U0ETWgGgUChgdnYWqVQK+XyeSzfVaaTU/0tlohSBQeWsVOqqDrhxOBw9+YwWiwWNRoPd03w+D5vN\\\n",
       "xg4hCUJxCOePOISCICwWRBAKgiAsYKLRKPfBUUi8mkFIogjYUj5KUE8gCQ9VJKpOF7lyJMqazSbn\\\n",
       "D05OTmJ6ehq5XI6HtpBQo9JMKi+lY7RaLXbUnE5nT9kq9TtWq1UuN6Vevk6ng2KxiFwuh0qlwr17\\\n",
       "dB3AlnJZKud0uVxcrulyueDz+bgn0el0wmQysTAsl8toNps8bIUEIZ3DYrHAarXyPSSxSFERJAhJ\\\n",
       "QNJ9S6fTSKfTqNfrsNvtCAQCCAaD7DRmMhkUi0WUy2VUq1W+HnJzQ6EQC22Xy8VTX6k/tNVqwWQy\\\n",
       "9cR7uN1uBAKBHqeRhDiV/hqGAY/Hw8ISAJcdC6+OCEJBEBYLIggFQRAWMCREKPvO5/PB4XBA13V2\\\n",
       "99QySmBrYQj0fmElsaaKLOo3pCmbVAqaSCRQKBRQq9XYzVIHnpBz1V+22mg0eLgNCThVBNHQl2Kx\\\n",
       "iEKhAMMwWFwVi0V0Oh34/X4Wa7ROuj4KmI/FYhwe73K5EIvFEA6HWSgB6BGWNBFV07Seiaok9KxW\\\n",
       "K99Luj/qRFH6GQBnO1IPY6FQ4NJOv9+PQCAAu93OE05p6Esul+ProFc4HOYyV1oPPV+a8upyueB2\\\n",
       "u3nwDO1PopamjtIgHnJL6ZppP2F+iCAUBGGxIIJQEARhAaPGPjgcDu5Bo+mWqgjs/5wqCud6X+0x\\\n",
       "rNfrHNNgNpuh6zqLHHIj6QsyZed5vV4YhgGn09kj2kj4kcgih43Wq7qEhUIB2WyWf06n09B1nYeq\\\n",
       "kEtH10PrpixEwzA4L5ByC9XeO/qcpmkcu0HXoPYH0ntqmDwJZQA8QZREIR2n2+323DsqmaXBNNS/\\\n",
       "5/V6YbFYUK1WuXczk8mwyKOBNFSaSs+FRKF6H9W8RVXk0fMhZ1HXdRasDoeDS1GF+SGCUBCExYII\\\n",
       "QkEQhAWM6hKRsPD7/SiXy2i32z1iQB22ok4iBXp7Cuk9KkUkCoUCEokEdF1HtVrlqaFU7tmfCUji\\\n",
       "RJ2sSZCAoeEtJNxI1FGfIpWIUj9esVjkYTQketQBObR2q9UKr9fLk0bJ7euf9ElroUgHgiIZ1P1I\\\n",
       "zNLfG40GyuUyTCYT3G43u7Oqu0oltPV6nUtuqYSWoh/8fj+sViuazSYqlQqq1SqLZXLy+qNEyEkl\\\n",
       "t48ErKZpPREStFYq/yVhXSwWkUqloOs6O6IkIFevXv3a/pK+QRFBKAjCYkEEoSAIwgJGncJpNpuh\\\n",
       "aRqXC9br9Tn7AudyDfsdQlX80HmojFOdZtrfp0jHUn9WXSf6Ek1h6+RMUU4ilU/SGui8Foulp7SS\\\n",
       "YiX6MwDV6yOBRCWk5OL1u2Cqc0bvqWWW/cN41LLWSqXC20l0Up9hp9NhEafeE7UfkaaPaprGU0ut\\\n",
       "Viva7fZWrp16HPX4nU6nZ6BN/5rVXtB6vc5De8rlMj9POq84hIIgCEI/IggFQRAWMKVSCcCWaaFe\\\n",
       "rxfxeJxLGWlyJglC2q7226nQz/1B9Wq2nqZpHN6uCjj6PDlX9FKD44Et4fF+vx+Dg4MsYMkhpImc\\\n",
       "AFgo0rFJ9NIgGKfTyX19dC4SYarDR64dHZfWo8ZVkFCj/dRBK+T01Wq1nlLWmZkZAEAgEODcQofD\\\n",
       "wQ4n3W9V+DmdTgSDQQSDQfj9fvj9frhcLphMJrRaLdRqNR4URNdI66Z7Teuhc5BD3P8sVFewUqkg\\\n",
       "n88jnU5jdnYW6XS6p+S3X8gL20ccQkEQFgsiCAVBEBYwMzMzLJJcLhdcLhcGBga49y2dTnNfGgkl\\\n",
       "tS+uH9WBUrepeYbkgKmB8Oq+JOoocoEG3Kjh6pSZNzY2Bo/HA6/Xy2WRVMZIfXrNZrMnjkGdoEkl\\\n",
       "mu12m6eYUr8fuYhqCSewRQSqTiT9XR2oQ04g5R7quo5SqYRisYhMJoN0Oo1EIgGz2YxgMMj3l4Lt\\\n",
       "dV3nnyORCIs+t9sNv9+PYDDIAfRU/krB9HQNDocDXq+Xh8MA4DXRemi6q81m42PRs2g0GiiVSshk\\\n",
       "MkgkEj0TTcklLJVKPZEiwvwQQSgIwmJBBKEgCMICZmpqChaLBW63G9FoFOFwmIPhSUy1223UarUe\\\n",
       "N4wcMPpSS2KPXv1lpeT8qb2I/WIQ2PLFlxzEYrGIUqnEEzeBzaWcbrcb8Xgcw8PD8Pl8cLlcnNdH\\\n",
       "Q09sNhv/nQbnaJrWM2QF2OKWkcihQTY0SZRcPzXcnsQnuY5qySj1JDYaDVQqFe5jzOfzyGazyOfz\\\n",
       "nJ1YrVZZIGuaxi6t1Wpl8RyNRhEIBPjaqf+RyjTp3pJzSuKPBB5dKzmIjUYDhUKBxV2n04HX6+W+\\\n",
       "TDpOu91GqVTCzMwM1q1bh40bN6JQKLB7qvYVVioVLgEW5ocIQkEQFgsiCAVBEBYwiUSCA8/tdjvC\\\n",
       "4TA8Hg80TUOtVkM6nUY+n+eyR+o3o4mUlEFHrlO1Wu0ZfqJ+kaUePJvNttWAGhJTag9cpVJBLpdD\\\n",
       "qVTaqv/P7XYjFAohFArB6/UCAAYGBlAoFHr6BtVhMdR3SH2DJHTJvctkMjzkJRgMwm639wS8k3NZ\\\n",
       "qVRQqVRQr9dhMpm4nJNKM2noS6lUQjKZxMzMDJdY5vN5VKtVvh61x69er7NAI6fO4XAgGAzC5XLB\\\n",
       "4XCwAKRBM/V6nZ05cinpcw6Ho+cZUTlpPp9HIpHA7OwsSqUSLBYLQqEQP1eKz6jX60gmk3jppZfw\\\n",
       "wgsvYHZ2Fq1WC06nk8PoaU2qYBbmhwhCQRAWCyIIBUEQFjAUA9Fut+Hz+dBut9lVUsPXyfkDAIfD\\\n",
       "Ab/fj0gkwhMu6/U6crkcix7qhwPAjiKVa9IAFF3Xe/rOyP2iEPlyuYxcLseB72q5Krlk9DOVS/p8\\\n",
       "Ph50opZsNhoNuFwuvm5yBBuNBtrtNpdxUmC9YRjsJFJMAzlmmUwG2WwWuq6zoxeJRFjwGobBU1Sn\\\n",
       "p6exceNGzM7Oshgk54/KXj0eDwtKs9ncI2BJ+AYCAfz/7d17cFz1eT7wZ+/3i3ZX0kqWhA2+ACnB\\\n",
       "lIvjMukvgCfuhGIMbmBoMJASAi2mCaYdYDpgMr3QQgKU1MBMAmSGIYG6k0wIpHTAEIeAHcc2mZQC\\\n",
       "HjC+yJK1q11p71dpz+8Pz/tydm1j2Ua2zD6fGQ3W6uzuOUeaRI/e7/d9vV4vbDYb6vV60xgK2ftY\\\n",
       "r9e12ishVZZ/yl7KdDqNvXv3Ys+ePUgkEiiXyxr+ZZmsNKcpFosYHBzUYwuFgg6l9/l8et5SMZWg\\\n",
       "SlPDQEhE7YKBkIhoBpNf8uXf9Xpdlxqam67IL6ROpxPBYBADAwM47bTT0NXVBZfLhWKxiOHhYXz4\\\n",
       "4Ye6XFIay9hsNg2YsVgMHo8HxWIRyWRSl17K7D6pakmFMJvN6gB04ONfoicnJ3X8QaPR0Jl48hpS\\\n",
       "PatWqxogvV4vPB6PVgZlX6JU5jKZDEqlklbJvF4v7Ha7XkutVkM6nUYymdR5hlJdk/2GwP4mMrIk\\\n",
       "01wVrNfrul8zFAohHo/j1FNPhc/nAwC9F3K+brcbHo9HZwnKHkIJha2VzlqtBofDgWAw2NTxVMZv\\\n",
       "JBIJDA4OYnBwEENDQ1pNdbvdGrhrtZoOvC+Xy0gmkyiVSho03W43YrEYurq64PP5dImuxWKB2+1G\\\n",
       "tVo9rj+/REQ08zEQEhHNYBIIG40GxsfHUS6XtTLV0dGBSCQCn8+HbDar1bBTTjkFZ599NhYsWIBY\\\n",
       "LAan04larYZUKoVoNAqn04lSqaTLNv1+P7q7uzF79mz09/fDarViaGhIQ9/ExETTyAsJYeVyWech\\\n",
       "ShVQqnCVSgV79uxBrVaD1+vV5Zy1Wk3DWbFY1GAoyzNlFIO566eMT5DQZrPZkM/nMT4+jkgkol0/\\\n",
       "6/W6NlGRDqmyD9E8r1CqpalUCqVSCS6XC52dnejq6oLH40EsFkN/fz/6+/vR3d0NwzBQLBaRyWS0\\\n",
       "gY75fpiXe1osFl3OKfsBpfunVDrNzXUmJiaQSqWwe/durfTJ+8hxNptNZ0R++OGHCAaDCIVCOhex\\\n",
       "t7cXfX19+ocCWb5qsVhQKpX0exOJRA7oLkuHxgohEbULBkIiohlMwocs+5MxB+aOnFKlajQaiEQi\\\n",
       "iMfj6O7uRkdHB/x+P5xOp3a1lDA0NDSEfD6v+xJPPfVUzJs3D93d3TrGQCpxZlJdlDBnbpYiSxpd\\\n",
       "LheA/SMzZPmlVM7kl2xpeiNLRyUsyj7IyclJDYPSNdNcNZQlmfv27dNmL+aRGBJ8HA6HjogwVyul\\\n",
       "86Z0EPV4PPD7/QiFQujs7NT753K59NzkPspyUbkeWfIq7y9hWYLg2NgY0um03tNCoYBcLgefz4dy\\\n",
       "uYx9+/Zh7969GB0d1SqwLNWVcRv1el0rrjJ6xOv1IhqNIhaLwefzaZdSAHq8eUSHz+fjHMIjwEBI\\\n",
       "RO2CgZCIaAYzBwNhHvwuIw4k3HR3dyMejyMcDmu1zbyXT5ZBDg4OIpPJwOl0oqenR6uDssfPPNrA\\\n",
       "PKy9XC4jl8s1DU6X/YHSwEWWfjYaDeTzeV1yKvvmzEPbnU5n02B5eU8ZeyFzAUulks7vM3dTlWqj\\\n",
       "uTopXUXlMdlzWCwWUSqVkM/ndfSF1+tFJBJBZ2en7gUMhUIIBAJwOByoVqtadaxUKgCg4ReA7luU\\\n",
       "4FooFHQJ68TEhIY4WZZqtVoxNjaGZDIJl8ulexnN+xel26p5f6GMxqjVarBYLIhEIvB6vejp6cGs\\\n",
       "WbMOmHOYzWa1E2ypVNLOrOZ9mvTJGAiJqF0wEBIRzXBSUZMOn1Kdkr1unZ2dOl5BKlsSvORYeV4k\\\n",
       "EkF/fz/mzp2LsbEx2O12xGKxpiqTeZyFucuoND6x2+2o1+u6P06qTxIGpTFNo9HQECNNX6xWqw5w\\\n",
       "l9BlsVi0Omdu3CLPkeqofEgFUM5LlkpKddIcDuWXenkdmTMosw8lFHZ0dKCzs1PPQZq3JBIJjIyM\\\n",
       "IJvNwmKxIBAIIBgM6rLWYrGIffv2YXBwUI+TeyP3slwua0UVgO69tNlsek+l+inNfWSOoSyPTafT\\\n",
       "KBQKGoadTic6OjrQ1dWFaDQKl8ul1VvDMLQhT7FYRL1e158VGY9Bh8dASETtgoGQiGgGk8qZVNdk\\\n",
       "GacEh0gkglmzZukyTel2KUsoAejx0oglGo1i9uzZOiBdwpyEJlnmaB44D0CXXsq+QvMSRafTiUAg\\\n",
       "gI6ODl1qKZ1Is9msVqkkxMlyV9mLJ50x5TykY6p59EVrOJRGNhIOZfaeDHG32Ww6amNiYgKVSkX3\\\n",
       "F8qMQqk4SsVVnieVvw8++AB79uxBqVSC3+9Hb28vvF4vnE6n3qvdu3fjww8/RDKZ1HmQElKlaiej\\\n",
       "LOR8JyYmmpagSrVTgtvAwAAGBgbg8XiQTqexY8cO7Nu3D5VKBW63G36/X5cES6MfuR/mWY9SfQ0E\\\n",
       "Aujs7ERHR8fx+cH9jGDQI6J2wEBIRDSD+f1+2O12BINB+P1+nREIQKtE0omyWq02zR00hznzHEGP\\\n",
       "x4NoNAqLxaKz+ur1uo5J2Lt3L0ZGRjTESXXRbt//fxnmECWPS0OYWCyG3t5enT0ooxRkD52EwVAo\\\n",
       "pI1RZHC9VMyy2axWusxLU80VQwmN8gu7xWLRQCShUK69Wq1qOJRlpwB0GakMvJcGMxJ8h4eHsX37\\\n",
       "dgwNDaFer2sDG7/fr88dHR3F0NAQkskkMpmMBmUJ8lIllDmAstTV4XA0VSJl36Db7UZPTw/mzp2L\\\n",
       "efPmwe/3ayW30WhgbGwMXq+3KUDLe8nrOhwOXY7rdrths9kQi8UQiUQQCoWO3w8vERGdFBgIiYhm\\\n",
       "MOn66fF4EAgEdAxDrVbT4ebhcBiNRkMrd7JU0O12w+v1Nu0/lADndrvhcrmaGpZMTk4im81ieHhY\\\n",
       "w41UumSuoHnmoYQYcwCJxWIYGBhANBqF3W5HrVbTDpkyCkIa2cTjcV2mKUtMC4UCAOgAePMSUWmQ\\\n",
       "IiFRgpZ8LmQ0RL1eR6VSQSaTAYCmCqWEW4fDgXQ6rUtsZVxEoVDArl27MDg4iFQqpa8ts/2kaUwy\\\n",
       "mdT9fxMTE7BYLPB4POjo6NCOrtlsVt8bAHw+H2KxGLq7u3UEhYzgsNvt6OzsxKxZs9DT04NAIIBQ\\\n",
       "KKSzDeXcpVrc2qhHvh/SbTQQCMDpdCIUCmk1kaaGS0aJqF0wEBIRzWDz5s3TypLL5dKA4/f7tepn\\\n",
       "bpxSqVR0v5osozRXkczhEIB2xjR34pS9ahIEZci5eSB9LpfT5ZsSyCTo9fT0IBqN6qiHaDSKYDAI\\\n",
       "n8+HdDoNi8Wigairq0uroNKR1LxPUSp6skfS/CHVNvMv7hIYzZVR4ONlsxJc5fnlchljY2O6R3J8\\\n",
       "fBx2ux35fB579+5tagZTKBSQSqXgcDjg9/tRKpW0qiqVVI/Hg87OTsyZMwd9fX2w2+1IJBJNXUlj\\\n",
       "sRjmzp2LU089VYOzLGeVJaGhUEgDvcPhQG9vL0ZHR7Wzq9PpbAoh5kqpfJiDv8vlalriS4fHQEhE\\\n",
       "7YKBkIhoBuvq6tJulbKccmRkRDtQytDySqWCQqGge/8sFgvGxsZ0ELlUGc1dSyU8SaCTZZYSeKTS\\\n",
       "JPMOZVlqMpnUZZTmsCbNWaRLp4RUCXvmsRHSnEXGZthsNj0Ht9vd1FgGgHZKlWWYss9PvibLWgFo\\\n",
       "wDXvRZROqG63W89NlpYWCgU9v3Q6DZvNpv+Wc7ZarahUKsjn83C5XE1NbswzCcPhMObMmYMzzzwT\\\n",
       "fX192ohmcnJSr7O/vx9nnHEGTjnlFITDYV3OmsvltDIre0KBj/dnxmIxHU0hozrMjX8AaFVUurLK\\\n",
       "3EeZ68ixE1PHQEhE7YKBkIhoBpMlk6VSCcViEYZhaHMSwzAQDAYxMTGB8fFxJBIJJBIJjI+Po1ar\\\n",
       "wePxaFVJKnVSeavX6xq4pKImjWo6Ojp0HIR5+aPX60W9XkcoFNJqozSrCQaD2uREOn5KEJSKHoAD\\\n",
       "qnetFT9zAxyp6JkrgRLcJOwA0OWsMtdQApFcG7A/EPv9fq1eWiwW7Tgqr1Uul3VUh7yPvLfcb1mS\\\n",
       "KwPvpVuqVOF6enowf/58zJ49G7FYrGnOogyS7+vrw+zZs9HZ2dk02F5CbalU0sAqYyhkz6HL5dLG\\\n",
       "OGNjY8jlcnC73XqtxWIRIyMj2LNnD0ZGRjAxMaFdUc0hmg6PgZCI2gUDIRHRDLZ3715dOikdLAuF\\\n",
       "gs6mC4fDmJycRCqVwtDQEBKJhC5jtFqtSCaTOtT9tNNO02pVqVRCtVrVCprVatU9abIvEYBW1GQP\\\n",
       "mlS8nE4nXC4XRkdH0Wg0dD+g2+3WBiqyz1CWQ6ZSKYyOjmoVUpqcyDlIVa9Wq+kS2VAopMdLSDKP\\\n",
       "cbBYLBrGpKooA+EBaPj0er2Ix+OYP38+urq6UKvVMDQ0pJVVGS5fr9d1maZU/eSXffnc7/cjHA5r\\\n",
       "9075HkgX0oGBAcRiMQ3QgUAAPT09CIVC8Hq96OrqQjgc1nM2jxWR4GYOnxJQpaIp1y4jPiYmJuD1\\\n",
       "elGr1ZBKpbBz507s3LkT4+PjsNlsiEajGi59Pt9x/gk+eTEQElG7YCAkIprB9uzZo0PaZXlmoVBA\\\n",
       "uVxGPp/XgJfJZJBKpZDJZFAqlbSTphxbKBQwOjqKeDwOp9OJarXaNLpBApeEEQlS5gYlMm7BvPRy\\\n",
       "bGxMq1CdnZ06n69SqeiextHRUezatQsffvgh9u3bp3v3JMjJ+8gevrGxMZTLZTgcDoTDYQ2fEgil\\\n",
       "AijLYd1ut1baZAafBDmpTMqojQULFiAajWqoTiaT2rxGwrBURe12O/x+P/L5vIauzs5O9PT0aPiV\\\n",
       "6p+5miqzDAFomJWOqh6PB8FgUEdSyL2WrrDm7rDlcln3ApZKJZRKJRQKBWQyGf2DgCzh9fl8qFQq\\\n",
       "SCQS2L17NxKJBMrlMpxOJwqFgu735BzCqWMgJKJ2wUBIRDSDpdPppj1/ADTMFYtFrR7JklJpOiIz\\\n",
       "6GTJaaVSQTqdRmdnp46w8Hg88Hg8OsdO/isdOAE0zceTcCjHeb1edHd3o16vw2azaZVKKlP1eh1j\\\n",
       "Y2MYHBzEBx98gI8++ghjY2MwDEOXtdZqNfT29sLtdqNcLuv+xEwmozMSZRmqVACl2U29Xtf9ezK2\\\n",
       "QiqY0tBGHuvr68Opp56Kvr4+DWapVEr3KwLQfZDxeBwDAwMIBAK6r69arcLtdmsgjEaj2rFT9vHJ\\\n",
       "LEPZO1mr1XSJpgRaud8SXqVyJ82AZARGo9HQ753D4UA+n0cmk0E2m0U2m0WxWNRz2717Nzwej85O\\\n",
       "HB8f1xBrt9v156VSqehy2ZPdRRddhD/90z890adBRPSZwEBIRDSDVSoVAB9XKyRIyB5A+beEB/O+\\\n",
       "OQC6F05CYzKZ1L10nZ2diMVium9OulqaQ6HsoZN9bObGLtLFUsZgyBB46Viay+WQSCSwd+9eDA8P\\\n",
       "I5VK6T5I6WaaTqfR09MDt9uNUqmEsbEx5PN5AEA4HIbX69UAKKRzqvkcpGGLBFhpxCOf9/X1IR6P\\\n",
       "a/fOarWqFUoZvyHLOU899VTMnTsX4XBYr0OWboZCIYTDYfh8Pm3sY56TKEtlpeGLzGyU8zA3v5Fj\\\n",
       "a7UaSqVSU5iTLq+VSqUpEObzeRSLxaYP6XwqgVkCoLy/LMWVLrI0NawQElG7YCAkIprBzAPgZei4\\\n",
       "hDXZb2ce0m6u7pm7iMpxsnxUgp550LrsI/T5fFqRkypW6xgH87/r9Try+bxWr6RZy/j4OMbHxzXI\\\n",
       "SPMWWUpaqVQwPj6ODz/88IClprLXLRgMatCSANXaLMYctMwzCm02mzZika6pssRTzsVqteq+x3A4\\\n",
       "jN7eXg2P8t6RSEQHzss+QvNePwlc5gBmPldpDCMBw3xPJcDJUlC5VxII6/U6nE6nhj+pAEvQrNfr\\\n",
       "GlblnMw/B7KPUzqplkql6f+h/YxgICSidsFASEQ0g0nlR4KIVPBkL52MmJBAZN4HKGFBwqB5VEEm\\\n",
       "k9GKoNvt1s6eTqcTHo9Hq3ASssyD4SUAlUolZLNZpNNpjI6OIp1OY2xsDJlMBrlcDvl8HqVSCZVK\\\n",
       "pamzqTlEyRxAcxdSm82mXVLD4TA8Hk9TAJIPGUov5wjs78qaz+cxPj6ObDaroc/8PoZhIJVKIZlM\\\n",
       "agXO6XQiEokgEok0dUq1WCxNcxxl6awEL+DjMCDhq16v6/2WIGvuVGpe/ivfo2KxiEKhgGKxqN1N\\\n",
       "zddWq9W0+Y4w7/WUc5N5g1J5NH/vK5XKAa9Bh8ZASETtgoGQiGgGk7Dm9XoRDAZ1dMHExATy+bw2\\\n",
       "QpFumxIYZb5eNptFPp/XUCahrlKpIJvNwuVyYXJyErlcDqFQCIVCARMTE7BYLAiFQhqErFarhpJa\\\n",
       "raadPJPJJBKJhDa0kT1wEmzMS1klvAAfVy/l9czhSip+2WwWo6OjOvReApd5z57sabTZbNqB1HzN\\\n",
       "wP49lzJyYWhoSOc5jo+P6349qSRarVYNuxJAZbyF3GcJr1Ltk+WYMvtPupVKcxi5fwD0es0zE6vV\\\n",
       "qlZMJfia9xfKtUpzHQmkwP7ls16vF6FQCB0dHQgEAjrGQhrRyAxL81xHOjwGQiJqFwyEREQzmNvt\\\n",
       "1m6XHR0dOiNQRlBIcJBqmny9UqkgmUzq7D7zsk8AGgrT6TSKxaI2lYlGo0in0zjttNPQ39+PSCSi\\\n",
       "QUmqa1JtGxoa0r2BhUJB9xJKCJKuoAd7b+DjClfrXEKpIJbLZd13CECXZcrrmZeLmq9Jgmij0YDD\\\n",
       "4dCAlslkYLFYmsKXLJt1uVw60iGVSmFychJ2ux3FYlEDpcxalC6iUok1L/nM5XL63uZxEhaLRcOx\\\n",
       "XKt8b2QpqARnADqOQgKyzWZDKBRCJBJBPp/XCqtUNvv6+tDX14dQKAQAKBaLTUtQpdusvD8dHgMh\\\n",
       "EbULBkIiohlMZtPJ8k4ZpyDVKfl6NBpFT08PYrEYbDYbcrkc6vW6Lt1s7bopYw9khIMEmEQigXQ6\\\n",
       "jVKppMFORjDIEs1KpYJMJoNkMonR0VENKBIqZYmjvLa5UihLT83BDkBTeJJKmMVi0VELrUtOJRCa\\\n",
       "K3bm5azmqposec1kMrrvUvZcyuB72ac3NjaGRqOh3VCz2awOopd7XK/XEQ6HtcuoVCUTiYSOzACg\\\n",
       "3zdpiiMBUK5Bzluaysg5mZeXys+Ax+PRc7VYLPB4PNoYJx6PY968eZg9ezbC4TAajYbOfUyn00in\\\n",
       "0xoMpWpKREQkGAiJiGYwaWbS2r1SunRK8xG/349YLIZYLKZLHc2NTKQpjc1m05ERwMdhRJqVFItF\\\n",
       "1Go1rTxFo1H4fL6DLpM0j1RwOp06ykKWXcpoBOmMWalUdE+juRkOgKb9i9JZ1FzNk+pW69JTc2XG\\\n",
       "XHGUgCnXL8s3zVVGqWDKPcnn8zrHUJ4jYdntdqNYLDYF2kAgAJvNpsPtJSRLAxdpWCOjJmQUh1y7\\\n",
       "fF/MzXvMIVG+h8FgED6fD9FoFJFIBJ2dnUgkErpkuKurC3PmzEF/fz8CgYDOqgyHw/qRTqcxPj6u\\\n",
       "1VY6PFYIiahdMBASEc1g8oumBCzpkJnL5VAul7WZiFT9ZH+heRyFuRrm8/kQDocRCoW0gmg+ViqA\\\n",
       "hUIBuVxOg5w5XMnrdHR0aIAJBAI6jkH260lIGh8fRy6X0+ApAU/CoVQivV6vLsl0Op0olUoYHR3V\\\n",
       "ZigS5GTJ6cF+CW9t4NK671D+C3y8dFVGalgsFlSrVa2Eyn2UDqhSwZQZg5FIBF6vV/cFyn+lmY7M\\\n",
       "SfR4PNq5FYBWTycmJjQ0BgIBeL1eOBwOlMtlDea1Wg0+nw/xeByRSARutxt9fX3I5XJaBfZ6vYjF\\\n",
       "Yujo6NDw7vf74ff7EQwGNdjLSAuaGgZCImoXDIRERDNYJBLRwCLNUGRPmIwkkOWO5mYmEirM++k8\\\n",
       "Hg9CoZAOVi+Xy01LKmUJp9Pp1Bl75XJZxyDIslOXy4VYLAa73Y5KpQK73Y5AIKDdOQHovjoJJoVC\\\n",
       "Qc9POmuaO5BKiIlGo+jo6IDNZsP4+LjusZNZisDHv3wfrDrYSkJh68gKqXRKCJR9iJVKpamZi3Tt\\\n",
       "NO/3s1gseg0dHR06aF6qgVarFZVKRYfDO51ObQgkDX/M3UR9Pp/uFXU6ndqURwK52+1Gb28vnE4n\\\n",
       "wuEwHA4H6vU6yuWy7iWVZjMylkSW3UrDGdl7yArh1DEQElG7YCAkIprBzjrrLO2emU6ndalosVjU\\\n",
       "qlkul8Po6CgSiYSGlWQyiXQ6rcFRlmRKYxTzcke/39+0xDQYDCIUCsFqterySalyyUiKUCgEr9er\\\n",
       "QVH2yslwdAk70jVTgqf8ki37DGW+Xr1eh8vl0tEPEoJlhITssTMvXTXvpZTQd7CZieaOnQdbcirh\\\n",
       "DkDT8lypukrAcjgcMAxDz0WuR/ZY+nw+BINBZDIZWK1WrebKSBC32900wkL2M0pXUFnWK59LaPR6\\\n",
       "vUilUujv79cmOLK01hwKZT6hVDLlv+ZgKHMeT3avvvoq3nzzzWl9DwZCImoX1hN9AkQ0M9Xrddx5\\\n",
       "550466yz4PP50Nvbi+uuuw7Dw8OHfe7atWsxe/ZsuN1uLFq0CJs3b276eqVSwa233opoNAq/348V\\\n",
       "K1YgkUhM16Wc1C688EJccMEFOPPMM9HT06NNZaQiJtWmRCKBHTt2YPv27Xj//fexc+dOjI6OanMY\\\n",
       "GU/g8/m086ZUFSXgdXd3Y9asWZg1axY6OjowOTmJZDKJjz76CDt27MDg4CDGx8c1vEm4DIfDus9N\\\n",
       "mp+0zulzOBzweDwIBAKIRqOIx+OYNWsWent7dSkkAF2m6XQ6EQgE0NHRgWAwqOM0pPLl8Xi0+ujz\\\n",
       "+XSeogQuCWGt8//MH+YmNOaRHOah9w6HQ5fiut1uDYVSAZRGLbInUYKaVBwlbJq7mpr3DUqlz9wF\\\n",
       "VALb5OSkNvAZGRnR/Ymy1NTcYVWWEcv5SKCVpkPm+0ZTY/6jw1Q+iIhOVqwQEtFBlUolbNu2Dffc\\\n",
       "cw/OPvtsjI+P41vf+haWLVuGLVu2HPJ5zz//PFavXo0nnngCixYtwiOPPIKlS5di+/bt6OrqAgDc\\\n",
       "fvvteOmll7Bu3TqEQiGsWrUKV1555bT/xf9kNH/+fN2v1mg0kMlkdOC6hJharYbx8XE0Gg2kUimd\\\n",
       "UVgsFjVc+f1+hEIhuN1uXXoqHTRlrIXP59Nln4Zh6LD0Wq0Gl8uF7u7upjENsu/O3O1Twp8EMuDA\\\n",
       "AepStZL9ivV6HdlsVruSWq1WrRCalzvKPkepdkr4azQa2mxHlqUerBJorijKeZnHYpg7l0pTGmmY\\\n",
       "I+/VOntQ7pF5CaoENak0TkxM6N5J80xEeY1arabLPQOBAEqlEgA0zURMJBLYtWsXAoEAHA4HgsGg\\\n",
       "jrKQERNyrFy7dCWV85R9m0RERGYMhER0UKFQCK+88krTY//xH/+BCy64AHv27MHAwMBBn/fQQw/h\\\n",
       "pptuwte//nUAwBNPPIGXXnoJTz31FO666y5ks1k8+eST+PGPf4yLL74YAPD000/jjDPOwKZNm/CF\\\n",
       "L3xhei/sJCNLNKVpi1TLJOyZK4XmpYzVarVpeLuMrJBOl1JNajQa2sxEmpBYrVYdF5HP51Eul7W6\\\n",
       "JM1OpLoGoGnmnlQGZRi7OXSZl3sC0POWalupVNLunTLrT95XAqgsG5XAaB7FIMtTzfMZhVTlzI+J\\\n",
       "1lmIcg2tVcZW0s21UqnoUs/WICrnI8tDq9Wq7gGUyqR0Bc1kMnpP5H6ZO7aOj49jfHwckUgETqcT\\\n",
       "Vqu1abyHNOiRwC7vLfsRpQpJU8Mlo0TULhgIiWjKstksLBYLwuHwQb9eq9WwdetW3H333fqY1WrF\\\n",
       "kiVLsHHjRgDA1q1bUa/XsWTJEj3m9NNPx8DAADZu3MhA2EKWKTYaDfT09KC/vx9jY2Ma6qRbpblK\\\n",
       "Jnv0XC4XfD4fIpEIYrGYft9kPEKpVGraYxaJROD3+3Vg/ejoKFKplFYI7Xa7jj1wu91a3TMMAx6P\\\n",
       "R5eNSmCTkCZ7BGUWn4y/kOpWKpXCyMgICoWCLon1er2Ix+M6biGTyWhglEqejNuw2WyoVqta/TLv\\\n",
       "FTTPN5SQKsHRXCmUf5v38UmgrdVqGqRkj6FU/2Sp5uTkpIZtczCVCqGEa3n9crmsoVuWlVarVeRy\\\n",
       "OTidTtRqNQ0Z9XodmUwGe/bsaWr243K5UK1WkU6nkUqlUK1WteupBM9SqYRUKoV9+/YhlUqhVCrh\\\n",
       "6quvPp4/wictBkIiahcMhEQ0JZVKBXfeeSeuueYaBIPBgx6TSqUwOTmJ7u7upse7u7vx/vvvAwBG\\\n",
       "Rka0W2LrMSMjI4d8f/Mv/ACQy+WO8kpOLhKsvF4vurq6MG/ePFQqFVitVoyOjh7QfdO8bNPv96Oz\\\n",
       "sxPd3d0IhUKwWCwYGxvD6OgoqtUqJicnmxqOBAIBWCwWZLNZ7N27F3v37tWw4/P54PP5tMmLVPWS\\\n",
       "yaQ2phkYGMCcOXPQ0dGhYyf27duHXbt2oVQqweVyoaOjQ8Pp5OQkxsfHkUqlkEqlkM/ndY+e1+vV\\\n",
       "PYqxWAyZTAbpdFpHLcjevs7OToRCIQ2Xg4ODujxTmsJIh0+r1aqVOFkKK5VEc5Azzy6UkRkyu1H2\\\n",
       "KkpolH2AMhNwcnJSq6pSBZSRFLJEVpaMSiCUf5dKJeTzea3Ymqu/uVwO1WpV73lvby/C4bDOapTq\\\n",
       "sMPhQDabhcPhQKVSQTKZxN69e3X/Yb1eP8E/0ScXBj0iagcMhEQEAHj22Wdx88036+f//d//jS9+\\\n",
       "8YsA9lcorrrqKhiGgccff/yEnN/999+P73znO02PrVmz5oScy/Fkrly5XC5t/lIqleDxeDQky3JM\\\n",
       "qY7ZbDb4/X50dXUhFovB5/Pp8kbZKyjLMzs6OrTSZl6aWCgUNHwC0CWhsidtaGgIg4ODKBQK8Hq9\\\n",
       "GtIlVGUyGSQSCQ2Wdrsd4XAYhUIBXV1dcLlc2pBFglmtVmsKbaFQSCt85mY6VqsVXq9XA2+tVkMu\\\n",
       "l0M2m0UqldLz9fv9mDVrFvr7++HxeJBOp7F7924MDw9ruGztQirnIyHT3DAmEAggEAjoUt5arQbg\\\n",
       "42qSdIQ17+UzL40FoPsepdppPqZWq2mjGAmccn7VahXZbFarnOPj41o9lj8KSOhtNBoaHpPJpAbK\\\n",
       "gy2ZpYM7nhVCn8+HUqmkfywgIjqeGAiJCACwbNkyLFq0SD+fNWsWgI/D4O7du/Haa68dsjoIALFY\\\n",
       "DDab7YCOoYlEAvF4HAAQj8dRq9WQyWSaqoTmYw7m7rvvxurVq/XzXC6HH/7wh0d0jScjCSwSViRU\\\n",
       "9fX1IRqNAoDudavX6yiVSrrPz1zVku6ftVoNnZ2d2n00EAigq6tLK4jSoCSfz2sV0W63w+12axXR\\\n",
       "ZrMhm80ikUhgZGQE+Xxex0p4vV7typnNZjE2NqbjMgzDaBp2H4lEdE6f2+3WECXBJ51Ow+fzNY2B\\\n",
       "kGAoS2F7e3vR09OjjWlGR0exb98+XQ4bjUYxd+5cLFiwAH6/H+l0Wu+DOQwebKahdACVZbjmSp+M\\\n",
       "dzAHSXmuLCWVczY/LlVJc+MaIdVdc0iUx83/rdVqyOfzup+ytTMqgKZ9h7K/kGHwyByvQHj55Zdr\\\n",
       "IyEiohOBgZCIAEArH2YSBj/44AO8/vrrGkAOxel04txzz8X69euxfPlyAPurRevXr8eqVasAAOee\\\n",
       "ey4cDgfWr1+PFStWAAC2b9+OPXv2YPHixYd8bZfLpUPP20mhUGgKJ9VqVTt+2mw27X4J7F9WK1W5\\\n",
       "sbExHVtQq9Xg8/l0+aSMLZAKmgxMl5EFuVxO9+tZrVZ4PB4NX52dnbDZbEilUgfsg0un0xgZGdFl\\\n",
       "nLLHUBqfSAVMApYEu2AwiEgkooG20Wggl8thaGgIhmHA4XCgWCzCZrPpHsWuri4Ng93d3ZicnITf\\\n",
       "78fIyAj27t2rgbinpwezZ8/GKaecou9VLpeRSqV0hMPExIRWP6UaKVVCafwCfFytlbET0vBFgqJU\\\n",
       "Ls3NdOT1zOHQPA7CPDvRPEpCgmJr51a3263fS8Mw9GfiYNU/WbIKfLz3kabueATCTZs24YUXXsD5\\\n",
       "55+P3/3ud0f1GkREx4qBkIgOql6v4y/+4i+wbds2vPjii5icnNQ9ftLlEAAuueQSXHHFFRr4Vq9e\\\n",
       "jeuvvx7nnXceLrjgAjzyyCMoFovadTQUCuHGG2/E6tWrEYlEEAwGcdttt2Hx4sVsKHMQyWRSl1JK\\\n",
       "0xir1aoNXNxut444kEYi5XIZY2NjGvCkEuX3+2G32xEMBrVzp9/vh9vt1iWN1WoVpVJJQ5AsU5Vl\\\n",
       "l52dndogRqpRsvyxWq2iUCigUCjA7Xbr/EMJNxMTE1pJk1EYPp9PK8VWqxXpdFr3AEqlz+v1aoiS\\\n",
       "xje9vb3o6+vT/YjSRKevr0+DpNvtxqxZs9DZ2anXbLFY0N3djc7OTiSTSZTLZdRqNR0xIR06JSRK\\\n",
       "xc4ctmQvoDkwts79k5Au3xtzsJP3kX2IwMdhs7WiKNVE+V6Fw2EEAgHY7XaUy2Wk02kUi8Wm7q/m\\\n",
       "DqzSyMdqtWoop+nz9ttvN30+MDCA00477ZDH/8mf/AlsNhs2b97M/YpEdMIwEBLRQQ0NDeGFF14A\\\n",
       "ACxcuLDpa6+//jq+9KUvAQB27Nihe7YA4Oqrr8bo6CjuvfdejIyMYOHChXj55ZebGs08/PDDsFqt\\\n",
       "WLFiBarVKpYuXYrHHnts2q/pZDQ4OKjLKGUgfDgcbgpzsnRRxhlIp0npRlosFjExMYFYLAaXy9VU\\\n",
       "mZPqoIQLc0VMhsPH43H09/cjHo8jHA5rSPN4PNoxVMhySsMwmub4mfc41mo1XdpqGAZCoZDOP3Q6\\\n",
       "nRgdHdXljoVCAT6fT0dRdHR0oLOzE7NmzUI8HtegJ+/X3d2N/v5+nZcYj8d1dp8EJZ/Pp++Zz+c1\\\n",
       "yHm9Xg3Z0lnUPHbCvCxUln5KyJUxEeZKn3Q1tVgsurxTlvH6/X5tHmMO1nJ/ZD6hfF+DwSDi8Th6\\\n",
       "e3vR0dGBRqOh90mWh8p+TGkoJB9Scc1msygWi8fzx/ekdjQVwjvuuKPpcdknezCnnHIKDMPA//3f\\\n",
       "/x3biRIRHSMGQiI6qNmzZ09pidmuXbsOeGzVqlVaMTwYt9uNtWvXYu3atcdyim3hww8/1JAFQOfz\\\n",
       "yXJRc7dLCUFOpxOTk5PIZrMaBKQRjDxfApJUqyRQSVVKvhaNRtHb26th0Ov1Ati/xFgCqTQ2kQAk\\\n",
       "pBGO0+nUahvwcWiUPYput7tpTqJUK0ulEiqVCiYnJ7XaZT6fjo4O3Rsp1x8KhdDT0wOLxaLHezye\\\n",
       "pn14DodD30+WXpqDmsvl0gY75gqe+cNcOTQv+TSPuTBXByUwut1uXaYbCAT0vQBo8Jf9ZPLabrcb\\\n",
       "HR0d6O/v1y6u9Xoddrsdo6Oj2hFVAqScQygUQjwe14605sY2dHhHEwi/973v4ZxzztHHDzWv9cEH\\\n",
       "H8SePXuwcuVKLFiw4NhPlojoGDAQEhHNYLt379bKkQSMrq4uAGia9ychToKIdLuUqpC8RrlcRjAY\\\n",
       "1CYx5n1v0iVTljb6fD7EYjF0dXUhHA43hU2p2km4lE6c5oqXeYC8+TzNXT0lSPp8Pm32IiMmZO+k\\\n",
       "eeC6VAmDwaA2sJH9cebwJPcrEAjoskkhYVfCqjkQynkAgMPhaFrCKX8gMTehMTd+kcqgLNeU85LA\\\n",
       "brPZ4Ha74fF4dIyHVHgB6DJVCYZyz6QqLBXCYDCoFUzZU2kOpvKcaDSKWbNm6RLWTCaDTCYz/T+0\\\n",
       "nxFHEwjPOeccXHTRRYc9XhpiPfPMM3jmmWf0cVl6nMlkEAqFjuKsiYiOHAMhEdEMNjY2pr/su1wu\\\n",
       "BAIBrRbKL6wSCMzVKavVqssP6/U6CoWCztOzWCzajEQqggCaql8Oh0PHLEjVTJZB2u12OJ1ODVTS\\\n",
       "NEWasrRWCc3LLs3v09odUxqmtC6llK87nU54PB54PB4Np/J+cv12ux0ulws+n0//bR5ZIa9lDs8T\\\n",
       "ExNNe+6cTqd2EW09b/mv+XFzx1Dz68pSXnmOPO5wOJo+zA1fzPdQvrdS0ZTvhVybORCbz0/uld/v\\\n",
       "RyQSgcPh0H2d5ntKn2w6m8r88Ic/xNNPP9302NNPPw2LxYIbbriBYZCIjiuLwbZjRHQSyuVyeOih\\\n",
       "hw77i9iFF16IJUuWHKezIqLj4dVXX8Wbb775icfcd999yGaznzgq52Bef/11XHzxxXjxxRfh8/mm\\\n",
       "9JxisYg///M/x2uvvTalCuHByB8V2PiHiI43/qmQiIiIiIioTXHJKBEREVGL4zWYXnDBFhGdKAyE\\\n",
       "RERERC2OdyAkIjpRGAiJiIiIWjAQElG7YCAkIiIiasFASETtgoGQiIiIqAUDIRG1C3YZJSIiIiIi\\\n",
       "alOsEBIRERG1YIWQiNoFAyERERFRCwZCImoXDIRERERELRgIiahdMBASERERtWAgJKJ2wUBIRERE\\\n",
       "dBAMekTUDthllIiIiIiIqE2xQkhERETUgktGiahdMBASERERtWAgJKJ2wUBIRERE1IKBkIjaBQMh\\\n",
       "ERERUQsGQiJqFwyERERERC0YCImoXTAQEhEREbVgICSidsGxE0RERERERG2KFUIiIiKiFqwQElG7\\\n",
       "YCAkIiIiasFASETtgoGQiIiIqAUDIRG1CwZCIiIiohYMhETULhgIiYiIiFowEBJRu2CXUSIiIiIi\\\n",
       "ojbFCiERERFRC1YIiahdMBASERERtWAgJKJ2wUBIRERE1IKBkIjaBQMhERERUQsGQiJqFwyERERE\\\n",
       "RC0YCImoXbDLKBERERERUZtihZCIiIioBSuERNQuGAiJiIiIDoJBj4jaAQMhERERUQtWCImoXTAQ\\\n",
       "EhEREbVgICSidsFASERERNSCgZCI2gUDIREREVELBkIiahccO0FERERERNSmWCEkIiIiasEKIRG1\\\n",
       "CwZCIiIiohYMhETULhgIiYiIiFowEBJRu2AgJCIiImrBQEhE7YKBkIiIiKgFAyERtQt2GSUiIiIi\\\n",
       "ImpTDIRERERELaRCONWPI+H1eg94/re+9a1puhIiok/GQEhERETUYjoDYblcRnd3N77xjW/gL//y\\\n",
       "LwEAjz76KH73u99Nx6UQEX0i7iEkIiIiajGdewgNw2j6/Ctf+QquvfZa/N3f/R02bNhwRK9FRHSs\\\n",
       "GAiJ6DNt586dePXVV0/0aRDRp2jnzp3T/h5HEwjffvvtpscHBgZw2mmnHfb5f/jDHwBgSscSEX3a\\\n",
       "GAiJ6DNteHgYw8PDJ/o0iOgkczSB8I477mh63OVyoVKpfOJzS6USHnjgAQDAU089dRRnSkR0bBgI\\\n",
       "iYiIiD4F3/ve93DOOefo5wMDA4d9TiAQ0OcSEZ0IDIRERERELY6mQnjOOefgoosumvJ72Gw2NBoN\\\n",
       "rFmzBqtXrz6q8yQiOlbsMkpEU3LLLbfAYrHgkUceOeyxa9euxezZs+F2u7Fo0SJs3ry56euVSgW3\\\n",
       "3norotEo/H4/VqxYgUQiMU1nTkR05Kazy2i9XtcweMcdd+C+++6bnosgIpoCBkIiOqyf/exn2LRp\\\n",
       "E3p7ew977PPPP4/Vq1djzZo12LZtG84++2wsXboUyWRSj7n99tvxi1/8AuvWrcOGDRswPDyMK6+8\\\n",
       "cjovgYjoiExnIHS73Wg0GvjiF7+IBQsW4Ac/+AF+8IMf4J133pmmqyEiOjQuGSWiTzQ0NITbbrsN\\\n",
       "//M//4NLL730sMc/9NBDuOmmm/D1r38dAPDEE0/gpZdewlNPPYW77roL2WwWTz75JH784x/j4osv\\\n",
       "BgA8/fTTOOOMM7Bp0yZ84QtfmNbrISKaqiMNelPVaDQAAG+88QbeeOMNfby7uxsjIyPT8p5ERIfC\\\n",
       "CiERHVKj0cDKlSvx93//9/jc5z532ONrtRq2bt2KJUuW6GNWqxVLlizBxo0bAQBbt25FvV5vOub0\\\n",
       "00/HwMCAHkNEdKJNZ4XQMIyDfjAMEtGJwAohER3Sv/3bv8Fut+Nv//Zvp3R8KpXC5OQkuru7mx7v\\\n",
       "7u7G+++/DwAYGRmB0+lEOBw+4JhP+mWoWq2iWq3q57lcbopXQURERESHwgohEQEAnn32Wfj9fv3Y\\\n",
       "sGED/v3f/x0/+tGPpm3Z1JG4//77EQqF9KO/v/9EnxIRfYZNZ4WQiGgmYSAkIgDAsmXL8Pvf/14/\\\n",
       "3nrrLSSTSQwMDMBut8Nut2P37t244447MHv27IO+RiwWg81mO6BjaCKRQDweBwDE43HUajVkMplD\\\n",
       "HnMwd999N7LZrH4MDg4e0/USEX0SBkIiahdcMkpEAPYPR5YByQDwzW9+E5dddlnTMUuXLsXKlSu1\\\n",
       "YUwrp9OJc889F+vXr8fy5csB7N+HuH79eqxatQoAcO6558LhcGD9+vVYsWIFAGD79u3Ys2cPFi9e\\\n",
       "fMjzc7lccLlcx3KJRERTdjRzCImITkYMhER0UNFoFNFotOkxh8OBeDyOBQsW6GOXXHIJrrjiCg18\\\n",
       "q1evxvXXX4/zzjsPF1xwAR555BEUi0UNkaFQCDfeeCNWr16NSCSCYDCI2267DYsXL2aHUSKaMRgI\\\n",
       "iahdMBAS0THZsWMHUqmUfn711VdjdHQU9957L0ZGRrBw4UK8/PLLTY1mHn74YVitVqxYsQLVahVL\\\n",
       "ly7FY489diJOn4jooBgIiahdMBAS0ZTt2rVrSo+tWrVKK4YH43a7sXbtWqxdu/ZTPDsiok8PAyER\\\n",
       "tQs2lSEiIiIiImpTrBASERERtWCFkIjaBQMhERERUQsGQiJqFwyERERERC0YCImoXTAQEhEREbVg\\\n",
       "ICSidsFASERERNSCgZCI2gW7jBIREREREbUpVgiJiIiIWrBCSETtgoGQiIiIqAUDIRG1CwZCIiIi\\\n",
       "ohYMhETULhgIiYiIiFowEBJRu2AgJCIiImrBQEhE7YJdRomIiIiIiNoUK4REdFIyDONEnwIRzXDH\\\n",
       "8r8T+Xx+ypW/fD5/1O9DRHSiMRAS0Ukpn8/jO9/5zok+DSKawfL5PEKh0BE9p7e3FwDQ399/xO8n\\\n",
       "zyUiOplYDP6ZnYhOQo1GA8PDwwgEAm29fyeXy6G/vx+Dg4MIBoMn+nROGN6H/Xgf9jMMA/l8Hr29\\\n",
       "vbBaj3x3zPbt2zE8PHxEz+nt7cWCBQuO+L2IiE40BkIiopNYLpdDKBRCNptt6wDA+7Af7wMRER0p\\\n",
       "NpUhIiIiIiJqUwyEREREREREbYqBkIjoJOZyubBmzRq4XK4TfSonFO/DfrwPRER0pLiHkIiIiIiI\\\n",
       "qE2xQkhERERERNSmGAiJiIiIiIjaFAMhERERERFRm2IgJCKaQer1Ou68806cddZZ8Pl86O3txXXX\\\n",
       "XTelIdlr167F7Nmz4Xa7sWjRImzevLnp65VKBbfeeiui0Sj8fj9WrFiBRCIxXZdyTA53La3WrVuH\\\n",
       "008/HW63G2eddRZ++ctfNn3dMAzce++96OnpgcfjwZIlS/DBBx9M5yUcs/vvvx/nn38+AoEAurq6\\\n",
       "sHz5cmzfvv2wz/ss3gsiIpo+DIRERDNIqVTCtm3bcM8992Dbtm346U9/iu3bt2PZsmWf+Lznn38e\\\n",
       "q1evxpo1a7Bt2zacffbZWLp0KZLJpB5z++234xe/+AXWrVuHDRs2YHh4GFdeeeV0X9IRm8q1mL31\\\n",
       "1lu45pprcOONN+Ltt9/G8uXLsXz5crzzzjt6zAMPPIBHH30UTzzxBH7729/C5/Nh6dKlqFQqx+uy\\\n",
       "jtiGDRtw6623YtOmTXjllVdQr9fx5S9/GcVi8ZDP+azeCyIimkYGERHNaJs3bzYAGLt37z7kMRdc\\\n",
       "cIFx66236ueTk5NGb2+vcf/99xuGYRiZTMZwOBzGunXr9Jj33nvPAGBs3Lhx+k7+KBzuWlpdddVV\\\n",
       "xqWXXtr02KJFi4ybb77ZMAzDaDQaRjweNx588EH9eiaTMVwul/GTn/xkGq5geiSTSQOAsWHDhkMe\\\n",
       "0y73goiIPj2sEBIRzXDZbBYWiwXhcPigX6/Vati6dSuWLFmij1mtVixZsgQbN24EAGzduhX1er3p\\\n",
       "mNNPPx0DAwN6zEwwlWtptXHjxqbjAWDp0qV6/M6dOzEyMtJ0TCgUwqJFi2bUtR9ONpsFAEQikUMe\\\n",
       "0y73goiIPj0MhEREM1ilUsGdd96Ja665BsFg8KDHpFIpTE5Ooru7u+nx7u5ujIyMAABGRkbgdDoP\\\n",
       "CJXmY2aCqVxLq5GRkcNeuzw21decaRqNBr797W/jwgsvxB/90R8d8rh2uBdERPTpYiAkIjqBnn32\\\n",
       "Wfj9fv1444039Gv1eh1XXXUVDMPA448/fgLPkk60W2+9Fe+88w6ee+65E30qRET0GWM/0SdARNTO\\\n",
       "li1bhkWLFunns2bNAvBxGNy9ezdee+21Q1YHASAWi8Fmsx3QMTSRSCAejwMA4vE4arUaMplMU5XQ\\\n",
       "fMxMMJVraRWPxw977fJYT09P0zELFy78FM9+eqxatQovvvgifv3rX6Ovr+8Tj/2s3wsiIvr0sUJI\\\n",
       "RHQCBQIBzJ07Vz88Ho+GwQ8++ACvvvoqotHoJ76G0+nEueeei/Xr1+tjjUYD69evx+LFiwEA5557\\\n",
       "LhwOR9Mx27dvx549e/SYmWAq19Jq8eLFTccDwCuvvKLHz5kzB/F4vOmYXC6H3/72tzPq2lsZhoFV\\\n",
       "q1bhZz/7GV577TXMmTPnsM/5rN4LIiKaRie6qw0REX2sVqsZy5YtM/r6+ozf//73xr59+/SjWq3q\\\n",
       "cRdffLHx/e9/Xz9/7rnnDJfLZfzoRz8y3n33XeOb3/ymEQ6HjZGRET3mlltuMQYGBozXXnvN2LJl\\\n",
       "i7F48WJj8eLFx/X6puJw17Jy5Urjrrvu0uPffPNNw263G9/97neN9957z1izZo3hcDiM//3f/9Vj\\\n",
       "/vVf/9UIh8PGz3/+c+MPf/iDcfnllxtz5swxyuXycb++qfrrv/5rIxQKGb/61a+afg5KpZIe0y73\\\n",
       "goiIpg8DIRHRDLJz504DwEE/Xn/9dT3ulFNOMdasWdP03O9///vGwMCA4XQ6jQsuuMDYtGlT09fL\\\n",
       "5bLxN3/zN0ZHR4fh9XqNK664wti3b99xuKoj90nX8v/+3/8zrr/++qbj//M//9OYP3++4XQ6jc99\\\n",
       "7nPGSy+91PT1RqNh3HPPPUZ3d7fhcrmMSy65xNi+ffvxuJSjdqifg6efflqPaZd7QURE08diGIZx\\\n",
       "YmqTREREREREdCJxDyEREREREVGbYiAkIiIiIiJqUwyEREREREREbYqBkIiIiIiIqE0xEBIRERER\\\n",
       "EbUpBkIiIiIiIqI2xUBIRERERETUphgIiYiIiIiI2hQDIRERnRSefPJJfPnLX57293n55ZexcOFC\\\n",
       "NBqNaX8vIiKiE42BkIiIZrxKpYJ77rkHa9asmfb3+rM/+zM4HA48++yz0/5eREREJxoDIRERzXj/\\\n",
       "9V//hWAwiAsvvPC4vN8NN9yARx999Li8FxER0YnEQEhERMfN6Ogo4vE4/uVf/kUfe+utt+B0OrF+\\\n",
       "/fpDPu+5557DZZdd1vTYl770JXz7299uemz58uW44YYb9PPZs2fjn/7pn3DdddfB7/fjlFNOwQsv\\\n",
       "vIDR0VFcfvnl8Pv9+PznP48tW7Y0vc5ll12GLVu2YMeOHUd/sURERCcBBkIiIjpuOjs78dRTT+G+\\\n",
       "++7Dli1bkM/nsXLlSqxatQqXXHLJIZ/3m9/8Buedd95RvefDDz+MCy+8EG+//TYuvfRSrFy5Etdd\\\n",
       "dx2uvfZabNu2Daeddhquu+46GIahzxkYGEB3dzfeeOONo3pPIiKikwUDIRERHVdf+cpXcNNNN+Fr\\\n",
       "X/sabrnlFvh8Ptx///2HPD6TySCbzaK3t/eo3+/mm2/GvHnzcO+99yKXy+H888/HV7/6VcyfPx93\\\n",
       "3nkn3nvvPSQSiabn9fb2Yvfu3Uf1nkRERCcLBkIiIjruvvvd72JiYgLr1q3Ds88+C5fLdchjy+Uy\\\n",
       "AMDtdh/Ve33+85/Xf3d3dwMAzjrrrAMeSyaTTc/zeDwolUpH9Z5EREQnCwZCIiI67nbs2IHh4WE0\\\n",
       "Gg3s2rXrE4+NRqOwWCwYHx8/7OtOTk4e8JjD4dB/WyyWQz7WOmZibGwMnZ2dh31PIiKikxkDIRER\\\n",
       "HVe1Wg3XXnstrr76avzjP/4jvvGNbxxQnTNzOp0488wz8e677x7wtdZlnh999NGnco6VSgU7duzA\\\n",
       "Oeec86m8HhER0UzFQEhERMfVP/zDPyCbzeLRRx/FnXfeifnz5+Ov/uqvPvE5S5cuxW9+85sDHv/5\\\n",
       "z3+On/70p9ixYwf++Z//Ge+++y52796NoaGhYzrHTZs2weVyYfHixcf0OkRERDMdAyERER03v/rV\\\n",
       "r/DII4/gmWeeQTAYhNVqxTPPPIM33ngDjz/++CGfd+ONN+KXv/wlstls0+OXXnopHnjgAZx55pn4\\\n",
       "9a9/jcceewybN2/GM888c0zn+ZOf/ARf+9rX4PV6j+l1iIiIZjqLYe6zTURENEN99atfxR//8R/j\\\n",
       "7rvvBrB/DuHChQvxyCOPfKrvk0qlsGDBAmzZsgVz5sz5VF+biIhopmGFkIiITgoPPvgg/H7/tL/P\\\n",
       "rl278NhjjzEMEhFRW2CFkIiITkrTVSEkIiJqJwyEREREREREbYpLRomIiIiIiNoUAyEREREREVGb\\\n",
       "YiAkIiIiIiJqUwyEREREREREbYqBkIiIiIiIqE0xEBIREREREbUpBkIiIiIiIqI2xUBIRERERETU\\\n",
       "phgIiYiIiIiI2hQDIRERERERUZtiICQiIiIiImpTDIRERERERERtioGQiIiIiIioTTEQEhERERER\\\n",
       "tan/D6J23iMfrzgEAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[4] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA3uJJREFUeJzsvXe0ZHWV/v1Uzjneujl1orsJTTdBEFQcRFDRkRkZGUEZdTCB\\\n",
       "rJERB0SCYhgV/DnIi46CjijDOLZjYkRAiQNIk7vpdHOoupVzrvP+0WtvTlXfbrqBpsPdn7Vq9b2n\\\n",
       "Tp3zPacKrefuvZ9HoyiKAkEQBEEQBEEQBGHJoT3YCxAEQRAEQRAEQRAODiIIBUEQBEEQBEEQligi\\\n",
       "CAVBEARBEARBEJYoIggFQRAEQRAEQRCWKCIIBUEQBEEQBEEQligiCAVBEARBEARBEJYoIggFQRAE\\\n",
       "QRAEQRCWKCIIBUEQBEEQBEEQligiCAVBEARBEARBEJYoIggFQRAEQRAEQRCWKCIIBUEQBEEQBEEQ\\\n",
       "ligiCAVBEARBEARBEJYoIggFQRAEQRAEQRCWKCIIBUEQBEEQBEEQligiCAVBEIRXxZ/+9CdoNBr8\\\n",
       "6U9/OthLEV5nnnjiCRiNRkxOTr7h504mk7DZbPjd7373hp9bEARhKSKCUBAEQdgrt9xyC26//faD\\\n",
       "vYxXxZ133ombbrrpYC8DANBqtfD1r38dg4ODMJvNWLt2LX72s5/t8+szmQw+9rGPIRAIwGaz4S1v\\\n",
       "eQs2bdq023533XUXLrjgAoyOjkKj0eD000/f77X+y7/8C84//3z09/fv92tfKz6fD//wD/+Aq6++\\\n",
       "+g0/tyAIwlJEoyiKcrAXIQiCIBy6rF69Gn6/f7dKYKvVQq1Wg9FohFZ7aP598ZxzzsELL7yAiYmJ\\\n",
       "g70UXHnllfjqV7+Kj370o1i/fj1+9atf4be//S1+9rOf4QMf+MBeX9tqtXDqqafi2Wefxec+9zn4\\\n",
       "/X7ccsstmJ6exlNPPYXR0VHe9/TTT8dTTz2F9evX45lnnsHatWv3q4r7zDPP4Nhjj8Wjjz6Kk046\\\n",
       "6dVe7mtiy5YtWLVqFe677z689a1vPShrEARBWCqIIBQEQdgHisUibDbbwV7GQWFPgvBw4FARhLOz\\\n",
       "sxgcHMTHPvYxfPe73wUAKIqC0047DePj45iYmIBOp9vj6//zP/8Tf/u3f4u7774b73//+wEA8Xgc\\\n",
       "y5Ytw1lnnYU777yT952enkZ3dze0Wu2reu8uvfRSbNy4ERMTE9BoNK/ugl8H1qxZg2OPPRY//vGP\\\n",
       "D9oaBEEQlgKH5p90BUEQDiCzs7O4+OKLEYlEYDKZMDg4iEsuuQS1Wg0AcPvtt0Oj0eDPf/4zPvGJ\\\n",
       "TyAYDKKnp4dff8stt+Coo46CyWRCJBLBJz/5SWQymbZzbN++HX/913+NcDgMs9mMnp4efOADH0A2\\\n",
       "m+V97r33Xpxyyilwu92w2+1Yvnw5vvCFL7zi+vflddVqFddccw1GRkZgMpnQ29uLK664AtVqdbfj\\\n",
       "/cd//Ac2bNgAq9UKj8eDN7/5zfjDH/4AABgYGMCLL76IP//5z9BoNG0tiHuaIbz77ruxbt06WCwW\\\n",
       "+P1+XHDBBZidnW3b56KLLoLdbsfs7CzOPfdc2O12BAIB/NM//ROazeYr3oNf/epXOPvss/k9HB4e\\\n",
       "xvXXX9/22tNPPx2//e1vMTk5yWsfGBjY4zEvuugi3q/z8aUvfekV1/RK663X6/jEJz7B2zQaDS65\\\n",
       "5BLMzMzgscce2+vr/+u//guhUAjve9/7eFsgEMDf/M3f4Fe/+lXb+9rb2/uaKrYbN27EW9/61t3E\\\n",
       "4J7uw8DAAC666CL+nf77efjhh/GZz3wGgUAAbrcbH//4x1Gr1ZDJZPChD30IHo8HHo8HV1xxBRb7\\\n",
       "2/Tb3/52/PrXv170OUEQBOH1Q3+wFyAIgvBGMjc3hw0bNvA81ooVKzA7O4v/+q//QqlUgtFo5H0/\\\n",
       "8YlPIBAI4Itf/CKKxSIA4Etf+hKuvfZanHHGGbjkkkuwdetWfO9738OTTz6JRx55BAaDAbVaDWee\\\n",
       "eSaq1So+/elPIxwOY3Z2Fr/5zW+QyWTgcrnw4osv4pxzzsHatWtx3XXXwWQyYceOHXjkkUf2uv59\\\n",
       "eV2r1cK73/1uPPzww/jYxz6GlStX4vnnn8e3v/1tbNu2DRs3buR9r732WnzpS1/CySefjOuuuw5G\\\n",
       "oxGPP/447r//fvzVX/0VbrrpJnz605+G3W7Hv/zLvwAAQqHQHtd3++2348Mf/jDWr1+PG2+8EbFY\\\n",
       "DDfffDMeeeQRPP3003C73bxvs9nEmWeeiRNOOAH/+q//ij/+8Y/45je/ieHhYVxyySV7vQ+33347\\\n",
       "7HY7Lr/8ctjtdtx///344he/iFwuh2984xsAds3BZbNZzMzM4Nvf/jYAwG637/GYH//4x3HGGWe0\\\n",
       "bbvnnnvw05/+FMFgkLclEom9ro1wOBwwmUwAgKeffho2mw0rV65s22fDhg38/CmnnLLHYz399NM4\\\n",
       "7rjjdhN6GzZswG233YZt27ZhzZo1+7SuvTE7O4upqSkcd9xxr/lY9Nm/9tpr8X//93+47bbb4Ha7\\\n",
       "8eijj6Kvrw9f+cpX8Lvf/Q7f+MY3sHr1anzoQx9qe/26devw7W9/Gy+++CJWr179mtcjCIIg7AFF\\\n",
       "EARhCfGhD31I0Wq1ypNPPrnbc61WS1EURfnRj36kAFBOOeUUpdFo8PMLCwuK0WhU/uqv/kppNpu8\\\n",
       "/bvf/a4CQPnhD3+oKIqiPP300woA5e67797jOr797W8rAJR4PL5f69+X1/3kJz9RtFqt8tBDD7Vt\\\n",
       "v/XWWxUAyiOPPKIoiqJs375d0Wq1ynvf+96261GUl++FoijKUUcdpZx22mm7neeBBx5QACgPPPCA\\\n",
       "oiiKUqvVlGAwqKxevVopl8u8329+8xsFgPLFL36Rt1144YUKAOW6665rO+axxx6rrFu3bu83QVGU\\\n",
       "Uqm027aPf/zjitVqVSqVCm87++yzlf7+/lc83mJs375dcblcytvf/va2zwGAfXr86Ec/alvH0NDQ\\\n",
       "bucoFosKAOXzn//8Xtdis9mUj3zkI7tt/+1vf6sAUO65555FX7en925P/PGPf1QAKL/+9a93ew6A\\\n",
       "cs011+y2vb+/X7nwwgv5d/rv58wzz2z7HJ100kmKRqNR/vEf/5G3NRoNpaenZ9E1PvroowoA5a67\\\n",
       "7trn9QuCIAj7j7SMCoKwZGi1Wti4cSPe9a534fjjj9/t+c4WuY9+9KNtc11//OMfUavVcNlll7VV\\\n",
       "aj760Y/C6XTit7/9LQDA5XIBAP73f/8XpVJp0bVQpexXv/oVWq3WPl/Dvrzu7rvvxsqVK7FixQok\\\n",
       "Egl+kDnHAw88AGBXa2Cr1cIXv/jF3SpPr2Z27C9/+QsWFhbwiU98AmazmbefffbZWLFiBd8fNf/4\\\n",
       "j//Y9vupp56KsbGxVzyXxWLhn/P5PBKJBE499VSUSiW89NJL+732TorFIt773vfC4/HgZz/7Wdvn\\\n",
       "4N57792nx5lnnsmvKZfLXC1UQ/epXC7vdT2v9fX7SjKZBAB4PJ7XfKyLL7647XN0wgknQFEUXHzx\\\n",
       "xbxNp9Ph+OOPX/Q9pzXsa0VWEARBeHVIy6ggCEuGeDyOXC63z+1ng4ODbb9TJtvy5cvbthuNRgwN\\\n",
       "DfHzg4ODuPzyy/Gtb30LP/3pT3Hqqafi3e9+Ny644AIWi3/7t3+LH/zgB/iHf/gHfP7zn8fb3vY2\\\n",
       "vO9978P73//+vc5/7cvrtm/fji1btiAQCCx6jIWFBQDAzp07odVqsWrVqn26H6/Enu4PAKxYsQIP\\\n",
       "P/xw2zaz2bzbGj0eD9Lp9Cue68UXX8RVV12F+++/H7lcru059Zzmq+WjH/0odu7ciUcffRQ+n6/t\\\n",
       "uc620n3BYrEsOr9ZqVT4+QP5+v1FeR3m9vr6+tp+p89+b2/vbtsXe89pDQfT2EYQBGEpIIJQEARh\\\n",
       "D7yWL9nf/OY3cdFFF+FXv/oV/vCHP+Azn/kMbrzxRvzf//0fenp6YLFY8OCDD+KBBx7Ab3/7W9xz\\\n",
       "zz2466678Na3vhV/+MMf9ug4uS+va7VaWLNmDb71rW8teozOL+QHi725au6NTCaD0047DU6nE9dd\\\n",
       "dx2Gh4dhNpuxadMm/PM///N+VVwX4+abb8bPfvYz/Md//AeOOeaY3Z6PRqP7dByXy8Wfoa6uLjzw\\\n",
       "wANQFKVN4MzPzwMAIpHIXo/V1dXF+6rZ19fvKyR+90WUE3sSj3t6fxfbvtgxaA1+v3+f1yIIgiDs\\\n",
       "P9IyKgjCkiEQCMDpdOKFF154Va+nkO6tW7e2ba/VahgfH98txHvNmjW46qqr8OCDD+Khhx7C7Ows\\\n",
       "br31Vn5eq9XibW97G771rW9h8+bN+PKXv4z777+fWzr3xCu9bnh4GKlUCm9729twxhln7PagCt7w\\\n",
       "8DBarRY2b9681/Pta4VmT/eHtr1eIed/+tOfkEwmcfvtt+PSSy/FOeecgzPOOGPRNsf9rS499NBD\\\n",
       "+Kd/+idcdtll+OAHP7joPl1dXfv0uOuuu/g1xxxzDEqlErZs2dJ2rMcff5yf3xvHHHMMNm3atJvY\\\n",
       "ffzxx2G1WrFs2bL9us49sWLFCgDA+Pj4os/n8/ndtlHF+fWG1tBpxCMIgiC8voggFARhyaDVanHu\\\n",
       "uefi17/+Nf7yl7/s9vwrtcmdccYZMBqN+M53vtO277//+78jm83i7LPPBgDkcjk0Go22165ZswZa\\\n",
       "rZbb/lKp1G7HJ1GwWGsgsS+v+5u/+RvMzs7i+9///m77lstldkw999xzodVqcd111+0mNNTXZ7PZ\\\n",
       "dovVWIzjjz8ewWAQt956a9s1/P73v8eWLVv4/rxWqMKkXmOtVsMtt9yy2742m22fW0jn5+fxN3/z\\\n",
       "NzjllFPYqXQxXs0M4Xve8x4YDIa2NSqKgltvvRXd3d04+eST29bx0ksvoV6v87b3v//9iMVi+O//\\\n",
       "/m/elkgkcPfdd+Nd73rXovOFr4bu7m709vYu+t8HgN0iRn7/+9+jUqkckGiIp556Ci6XC0cdddTr\\\n",
       "fmxBEAThZaRlVBCEJcVXvvIV/OEPf8Bpp53GkQzz8/O4++678fDDD7fFInQSCARw5ZVX4tprr8U7\\\n",
       "3vEOvPvd78bWrVtxyy23YP369bjgggsAAPfffz8+9alP4bzzzsOyZcvQaDTwk5/8BDqdDn/9138N\\\n",
       "ALjuuuvw4IMP4uyzz0Z/fz8WFhZwyy23oKenZ6/xA/vyur//+7/Hf/7nf+If//Ef8cADD+BNb3oT\\\n",
       "ms0mXnrpJfznf/4n/vd//xfHH388RkZG8C//8i+4/vrrceqpp+J973sfTCYTnnzySUQiEdx4440A\\\n",
       "dtn/f+9738MNN9yAkZERBINBNqhRYzAY8LWvfQ0f/vCHcdppp+H888/n2ImBgQF89rOffbVvWxsn\\\n",
       "n3wyPB4PLrzwQnzmM5+BRqPBT37yk0VFybp163DXXXfh8ssvx/r162G32/Gud71r0eN+5jOfQTwe\\\n",
       "xxVXXIGf//znbc+tXbsWa9euBfDqZgh7enpw2WWX4Rvf+Abq9TrWr1+PjRs34qGHHsJPf/rTtjbK\\\n",
       "K6+8EnfccQfGx8c5N/H9738/TjzxRHz4wx/G5s2b4ff7ccstt6DZbOLaa69tO9eDDz6IBx98EMCu\\\n",
       "udlisYgbbrgBAPDmN78Zb37zm/e61ve85z345S9/uVt7KwBs2bIF73znO/Hud78bc3NzuPnmm+Fy\\\n",
       "ufDoo4/iZz/7Gc4///z9vjd74t5778W73vUumSEUBEE40BwMa1NBEISDyeTkpPKhD31ICQQCislk\\\n",
       "UoaGhpRPfvKTSrVaVRTlZdv8xaIpFGVXzMSKFSsUg8GghEIh5ZJLLlHS6TQ/PzY2pnzkIx9RhoeH\\\n",
       "FbPZrHi9XuUtb3mL8sc//pH3ue+++5T3vOc9SiQSUYxGoxKJRJTzzz9f2bZt217Xvq+vq9Vqyte+\\\n",
       "9jXlqKOOUkwmk+LxeJR169Yp1157rZLNZtv2/eEPf6gce+yxvN9pp52m3Hvvvfx8NBpVzj77bMXh\\\n",
       "cCgAOCKgM3aCuOuuu/h4Xq9X+eAHP6jMzMy07XPhhRcqNpttt+u75pprlH35v6ZHHnlEOfHEExWL\\\n",
       "xaJEIhHliiuuUP73f/93t/UUCgXl7/7u7xS3260A2GsExWmnnbbHCInF4hb2l2azqXzlK19R+vv7\\\n",
       "FaPRqBx11FHKf/zHf+y2H0VyjI+Pt21PpVLKxRdfrPh8PsVqtSqnnXbaop9Ruoev9jo2bdqkANgt\\\n",
       "tgSAcvnllyvnnXeeYrFYlK6uLuW73/2ucuuttypWq1X5h3/4B0VR9vzfD62rMzJlsc/Cli1bFABt\\\n",
       "/80IgiAIBwaNohyAPg9BEARBEA5b3va2tyESieAnP/kJb9NoNLjmmmvwpS996YCf/7LLLsODDz6I\\\n",
       "p556SiqEgiAIBxiZIRQEQRAEoY2vfOUruOuuuzhK5I0kmUziBz/4AW644QYRg4IgCG8AMkMoCIIg\\\n",
       "CEIbJ5xwAmq12kE5t8/nQ6FQOCjnFgRBWIpIhVAQBEEQBEEQBGGJIhVCQRAEQRBeEbEcEARBODKR\\\n",
       "CqEgCIIgCIIgCMISRQShIAiCIAiCIAjCEkVaRgVBOCxptVqYm5uDw+EQJ0JBENpQFAX5fB6RSARa\\\n",
       "7f7/7fu5557D1NTUfr2mr68Pa9eu3e9zCYIgHGxEEAqCcFgyNzeHH/zgBwd7GYIgHKJce+21mJ6e\\\n",
       "Rk9Pz3697rnnnsPRRx/9qs757LPPiigUBOGwQ1pGBUE4LHE4HAB2hWXLQx7ykEfnQ/2/E/vD/lYG\\\n",
       "X+1rjz766Lb1dnd3tx1Hp9Ptdk1f/vKXX/XaBEEQ9oQIQkEQDkvoC58gCMKeeK3/O7E/4nN/yeVy\\\n",
       "0Gq1CIfDuz23adMmtFotBAIB/P3f/z1OPPFEAMBVV131mq5HEARhMaRlVBAEQRAEoYP9FXv7G8sx\\\n",
       "Pj7edi4155577m7He/Ob34yHHnoIn//85/HVr351v84lCIKwN0QQCoIgCIIgdPBqBOETTzzRtm1o\\\n",
       "aAirVq16XdYTi8UAAKeccsrrcjxBEARCBKEgCIIgCEIHr6Yd9Prrr2/7XafTodFovOa1PPfcc9i2\\\n",
       "bRsA4JxzznnNxxMEQVAjglAQBEEQBKGDVyMIr776amzYsIF/Hxoaes3rmJqaYtfTX//616/5eIIg\\\n",
       "CJ2IIBQEQRAEQejg1QjCDRs2vK4VvKmpKfT39wMAfvSjH0l1UBCEA4K4jAqCIAiCIBxiqMXgLbfc\\\n",
       "gosuuujgLkgQhCMWqRAKgiAIgiB08FoiJfaF+++/H9/4xjf492QyibPOOgtHH300PvGJT7AYPOus\\\n",
       "s1AsFvGv//qvAHY5kI6MjBywdQmCsPQQQSgIgiAIgtDBgRaEl156KV544QX+vVqt4p577sE999yD\\\n",
       "arXK23//+9/j97//Pf9+xx134Pnnnz9g6xIEYekhglAQBEEQBKGDAy0IX0nUffvb3z5g5xYEQVAj\\\n",
       "glAQBEEQBKGDAy0IBUEQDhVEEAqCIAiCIHQgglAQhKWCuIwKgiAIgiAIgiAsUaRCKAiCIAiC0IFU\\\n",
       "CAVBWCpIhVAQhH3mq1/9KjQaDS677LK97nf33XdjxYoVMJvNWLNmDX73u9+1Pa8oCr74xS+iq6sL\\\n",
       "FosFZ5xxBrZv334AVy4IgrB/kCDc14cgCMLhighCQRD2iSeffBL/3//3/2Ht2rV73e/RRx/F+eef\\\n",
       "j4svvhhPP/00zj33XJx77rlt9upf//rX8Z3vfAe33norHn/8cdhsNpx55pmoVCoH+jIEQRD2CRGE\\\n",
       "giAsFUQQCoLwihQKBXzwgx/E97//fXg8nr3ue/PNN+Md73gHPve5z2HlypW4/vrrcdxxx+G73/0u\\\n",
       "gF3VwZtuuglXXXUV3vOe92Dt2rX48Y9/jLm5OWzcuPENuBpBEIRXRgShIAhLBRGEgiC8Ip/85Cdx\\\n",
       "9tln44wzznjFfR977LHd9jvzzDPx2GOPAQDGx8cRjUbb9nG5XDjhhBN4n8WoVqvI5XJtD0EQhAOF\\\n",
       "CEJBEJYKIggFQdgrP//5z7Fp0ybceOON+7R/NBpFKBRq2xYKhRCNRvl52ranfRbjxhtvhMvl4kdv\\\n",
       "b+/+XIYgCIIgCIKwCCIIBUHYI9PT07j00kvx05/+FGaz+aCu5corr0Q2m+XH9PT0QV2PIAhHNlIh\\\n",
       "FARhqSCxE4Ig7JGnnnoKCwsLOO6443hbs9nEgw8+iO9+97uoVqvQ6XRtrwmHw4jFYm3bYrEYwuEw\\\n",
       "P0/burq62vY55phj9rgWk8kEk8n0Wi9JEARhnxChJwjCUkEqhIIg7JG3ve1teP755/HMM8/w4/jj\\\n",
       "j8cHP/hBPPPMM7uJQQA46aSTcN9997Vtu/fee3HSSScBAAYHBxEOh9v2yeVyePzxx3kfQRCEQwGp\\\n",
       "DgqCsBSQCqEgCHvE4XBg9erVbdtsNht8Ph9v/9CHPoTu7m6eMbz00ktx2mmn4Zvf/CbOPvts/Pzn\\\n",
       "P8df/vIX3HbbbQDAOYY33HADRkdHMTg4iKuvvhqRSATnnnvuG3p9giAIe2J/xJ6IQkEQDmdEEAqC\\\n",
       "8JqYmpqCVvtys8HJJ5+MO++8E1dddRW+8IUvYHR0FBs3bmwTlldccQWKxSI+9rGPIZPJ4JRTTsE9\\\n",
       "99xz0OcUBUEQCBGEgiAsFUQQCoKwX/zpT3/a6+8AcN555+G8887b4zE0Gg2uu+46XHfdda/z6gRB\\\n",
       "EF4fRBAKgrBUkBlCQRAEQRAEQRCEJYpUCAVBEARBEDqQCqEgCEsFEYSCIBzReL1eDAwMHOxlCILw\\\n",
       "OjIxMYFUKnVAzyGCUBCEpYIIQkEQjmgGBgbwrne962AvQxCE15Ff//rXIggFQRBeJ0QQCoIgCIIg\\\n",
       "dCCCUBCEpYIIQkEQBEEQhA5EEAqCsFQQl1FBEARBEARBEIQlilQIBUEQBEEQOpAKoSAISwURhIIg\\\n",
       "CIIgCB2IIBQEYakgglAQBEEQBKEDEYSCICwVRBAKgiAIgiB0IIJQEISlgghCQRAEQRCEDkQQCoKw\\\n",
       "VBCXUUEQBEEQBEEQhCWKVAgFQRAEQRA6kAqhIAhLBRGEgiAIgiAIHYggFARhqSCCUBAEQRAEoQMR\\\n",
       "hIIgLBVEEAqCIAiCIHQgglAQhKWCCEJBEARBEIRFEKEnCMJSQFxGBUEQBEEQBEEQlihSIRQEQRAE\\\n",
       "QehAWkYFQVgqiCAUBEEQBEHoQAShIAhLBRGEgiAIgiAIHYggFARhqSCCUBAEQRAEoQMRhIIgLBVE\\\n",
       "EAqCIAiCIHQgglAQhKWCCEJBEARBEIQORBAKgrBUkNgJQRAEQRAEQRCEJYpUCAVBEARBEDqQCqEg\\\n",
       "CEsFEYSCIAiCIAgdiCAUBGGpIC2jgiAIgiAIHZAg3NfH/nL00Ue3vb67u7vt+VqtBp1O17bPxRdf\\\n",
       "/HpdniAIAiOCUBAEQRAEoYMDLQhzuRy0Wi3C4fCiz9vtdrRaLUQiEZxzzjkAgB/+8Id47rnnXtN1\\\n",
       "CYIgdCIto4IgCIIgCB0c6JbR8fHxPb6+VquhXq/DaDRidnYWALBx40a8973vxVvf+lYkEon9Pp8g\\\n",
       "CMKekAqhIAiCIAjCIcRnP/tZAMBb3/pW3nbuuecCAFKp1MFYkiAIRzBSIRQEQRAEQejg1VQIn3ji\\\n",
       "ibbtQ0NDWLVq1X6f+8knnwQAnHbaabs9pyjKfh9PEARhb4ggFARBEARB6ODVCMLrr7++bbtOp0Oj\\\n",
       "0Xjd1yYIgvB6IoJQEARBEAShg1cjCK+++mps2LCBtw8NDb2qc69fvx5PPvkk/vznP+Pzn//8oucS\\\n",
       "BEF4vRBBKAiCIAiC0MGrEYQbNmxgR9DXwre//W3ccsstuP/++3nbb37zGwCA1+t9zccXBEFQI4JQ\\\n",
       "EARBEAShgwPtMnr//ffjG9/4Bv+eTCZx1lln4eijj8ZXv/pVGAwG1Go19PT0YN26dfif//kffp0g\\\n",
       "CMLriQhCQRAEQRCEN5hLL70UL7zwAv9erVZxzz334J577sFXv/pVFAoFWCwWzM7OcvTEhRdeiLVr\\\n",
       "1x6sJQuCcIQiglAQBEEQBKGDA10hfP755/f6vNFoRLPZ3O/jCoIg7C8iCAVBEARBEBZBDFwEQVgK\\\n",
       "iCAUBEEQBEHo4EBXCAVBEA4VRBAKgiAIgiB0IIJQEISlgghCQRAEQRCEDkQQCoKwVBBBKAiCIAiC\\\n",
       "0IEIQkEQlgrag70AQRAEQRAEQRAE4eAgFUJBEARBEIQOpEIoCMJSQQShIAiCIAhCByIIBUFYKogg\\\n",
       "FARBEARB6EAEoSAISwURhIIgCIIgCB2IIBQEYakgglAQBEEQBKEDEYSCICwVxGVUEARBEARBEARh\\\n",
       "iSIVQkEQhEOY008/Hc1mE41GA1qtFsFgEBs2bMDpp5+OwcFB2Gw26HQ6KIqCVquFZrOJcrmMeDyO\\\n",
       "rVu3YmpqClqtFqOjoxgdHYXf74fJZIJOp9vtXHSMRqOBVqsFrVYLvV4PnU4HrVbLVRBFUdrO12w2\\\n",
       "0Wq1AIBf32g0AAAmkwlGoxF6vZ5fT5WXZrOJQqGAnTt3YtOmTYjH4/B6vRgaGkJXVxfsdjv0+l3/\\\n",
       "N1Wv15HJZDA5OYmXXnoJY2NjmJubQyKRQCqVQqFQ4HUbjUb09PTg3e9+N9773vdicHAQFouF71Ot\\\n",
       "VkMmk8HMzAwmJyeRSqVgMBjg8/ngdrvRarWwbds23HPPPXj00UdRrVah0WhgNptht9vh8XjgcDig\\\n",
       "KAqy2SzS6TRKpRJfs0ajgVarbbtnrVYLiqIAAHQ6HSwWC3w+H7q7uxGJRGCxWJDP5zE9PY2pqSkk\\\n",
       "Egk+Jt1bANBqtdDpdPz+0ftA7wmd32AwwGazwePxwGazoVarIZ/Po1wuY35+/vX9kB6hSIVQEISl\\\n",
       "gghCQRCEQxiDwcDCQqPRsDijL/8A2n6mfcxmM3w+HwtJj8cDk8kErXbvjSFqUdH5JVd9nj1BYogE\\\n",
       "i/o4iqLsdkwSLw6HA41GA16vFw6HAyaTiUVkq9VioVmr1VCr1aAoCkwmE5xOJwtSeo7uT6VSQbVa\\\n",
       "RbPZXPQ6m80m6vU6arUaWq0WqtUqGo0GFEVBo9FAs9lkoaXRaPg11WqVxWWlUmHRpr4/JOL2JCro\\\n",
       "OIVCAdlsFo1Gg49F51M/1NtIbNJx9vQ+0j0BdgnqSqXCvwuvjAhCQRCWCiIIBUEQDmGoYlWv11nY\\\n",
       "2e12FiQkQtRiRKvVwmKxIBQKwWazQavVwuVycZVsT0JPLWo6BUnnvupz0/7q15FgUVeyFttXp9PB\\\n",
       "ZrMhHA7D5XLB7XbD5/Nx5ZPEYLPZRK1WQ6VSQbPZhMlkQjAYRDgcRrFYRCwWQz6fRyqVQrPZhF6v\\\n",
       "R7FYRC6XQ61WQ7PZ5DWR4CuXy8jlcshkMtDr9dDr9TCbzdBoNCiVSqhWqyzs6HpJFJIIJNHYeT9J\\\n",
       "kKnFPF0znb9UKiGVSqHVasFms6HZbKJYLLIoVKP+g4DBYGi7N533V32eWq3GopcEp7BviCAUBGGp\\\n",
       "IIJQEAThEGbZsmUsPHQ6HbxeL8LhMEwmE4uTTnQ6HUwmE9xuNwtCo9EIo9HY1sYItAsdtcDYFzHY\\\n",
       "KQrp2IqisGBVV7jUx6Hter0eDocDPT09aDQasFqtbe2d9XqdX0/HtdvtXB30+XwwmUxIJpNIpVLY\\\n",
       "vHkz5ufnodfr0Wq1kMlkUCwWWWACQKPRQLFYxMLCAmZnZ5FIJKDT6VCv1/n+pVIplEqlNoFMLbQW\\\n",
       "iwVOp5PXT2ur1+vcQquuLFJFT12dJUFI/1L1tlqtshDtfA/o/CQI6d6ooTXR+w2AxSCtT9g3RBAK\\\n",
       "grBUEEEoCMIeufHGG/Hf//3feOmll2CxWHDyySfja1/7GpYvX77X19199924+uqrMTExgdHRUXzt\\\n",
       "a1/DO9/5Tn5eURRcc801+P73v49MJoM3velN+N73vofR0dEDfUmHHevXr+efqRXU6XTCbDZz1Yyq\\\n",
       "fuovsDT7ZzKZuLK02CygugJHYoFaPjvbPenfxR6dlcHFXkPHJki82O12Fi+0ThK7tEa6dq/Xy4In\\\n",
       "FAohGAzCarWiVquhXC5j1apVePbZZxGLxWA2m5HJZJBKpWC321lY5vN5zMzMYMuWLdi2bRuy2Sx0\\\n",
       "Oh1yuRwKhQL0ej2mpqaQy+X42uheOp1O9PT0oKenB2azGel0GlNTU5ifn0cul+MKplpc0/1UFKVN\\\n",
       "NFMLbLlc5veGWmPVlcfO6qDBYFj03qpnB10uF0wmE6rVKrLZLK9nX9p+hV2IIBQEYakgglAQhD3y\\\n",
       "5z//GZ/85Cexfv16NBoNfOELX8Bf/dVfYfPmzbDZbIu+5tFHH8X555+PG2+8Eeeccw7uvPNOnHvu\\\n",
       "udi0aRNWr14NAPj617+O73znO7jjjjswODiIq6++GmeeeSY2b94Ms9n8Rl7iIc+qVasAYNHKHs3I\\\n",
       "UeWIHiQu1O2Ki71e3YpZrVa5LdVkMi36PnRWEvdUUVQbqdA5qOJF10KvIaFlMBjazkX70zlJCBsM\\\n",
       "BoRCIVitVrhcLjgcDhiNRhaQLpcLHo8H27ZtQzqdRqVSQTQahcVi4RnB6elpPPnkk3j66acxOzuL\\\n",
       "SqXCVcF4PA6dTodkMsmCkCqs1Np61FFHYdWqVXC73chkMti8eTOee+45TExM8FyiWqipTWHoutWC\\\n",
       "V33/1Pe5U2hT1Y+qgyQc6Z5SVbi/vx+9vb0AgOnpaVSrVZTL5f3+7AmCIAhLAxGEgiDskXvuuaft\\\n",
       "99tvvx3BYBBPPfUU3vzmNy/6mptvvhnveMc78LnPfQ4AcP311+Pee+/Fd7/7Xdx6661QFAU33XQT\\\n",
       "rrrqKrznPe8BAPz4xz9GKBTCxo0b8YEPfODAXtRhhs/nA/ByBYIEXKlUQqFQQLlcZoMVm80Gq9XK\\\n",
       "zp6dohDYXdRVq1XkcjlukSQzGnWlTo3aiZRm3dRiU90iqq6CUcsrCRr1vmQC09m2CoBfQ9VEav00\\\n",
       "Go0sJMmJVK/Xw+PxYHh4GAaDARMTE8hms1hYWECz2YTNZkM+n8fzzz+Pxx9/HOPj4ygUCjxfmM/n\\\n",
       "kU6nodVqUalUUCqVAIDFmNPpRF9fH1atWoVVq1bB4XDwPSuXy8jn8yiVSqhUKm3vmVog0+/q61Wb\\\n",
       "7XTOWlJ10Wg0wmKxwGQy8UypuiXVbDYjGAxi7dq1OPHEExGJRJDL5fDEE08gnU7zdQr7jlQIBUFY\\\n",
       "KoggFARhn8lmswAAr9e7x30ee+wxXH755W3bzjzzTGzcuBEAMD4+jmg0ijPOOIOfd7lcOOGEE/DY\\\n",
       "Y4/tURDSbBWRy+Ve7WUcVpAYAsDii8RYNptFMplErVaDyWSCy+WC1+uF2+1e1KWys7JXr9eRzWYx\\\n",
       "NTWFbdu2IZPJwOPxYOXKlVxtXKzFlBwxa7UaNBoNi7zOCiTtR0YpdC1UDez8Eq12/SSRptPpeB0k\\\n",
       "/EisqitttE6DwQCn04lIJML3KZ1OI5lMol6vY2FhATt27MDExAQymQw7lmo0GlSrVa4WklCjNk2z\\\n",
       "2QyPx4Oenh709vYiEAjAYrHAarWiWq1ibm4O09PTXGEkkatuo6X7p77uzveos72WWkDdbjfcbjf0\\\n",
       "ej3y+TwLbRKD3d3d2LBhA97ylrdg2bJlMJvNSCaTSKfTGBsb47ZRMZXZd0QQCoKwVBBBKAjCPtFq\\\n",
       "tXDZZZfhTW96E7d+LkY0GkUoFGrbFgqFEI1G+Xnatqd9FuPGG2/Etdde27btmmuu2a9rOBxZLCZC\\\n",
       "Lbay2SxyuRw0Gg1yuRwbjairg+oIAhJy9XodxWIRMzMz2LRpE1588UXkcjn4/X7U63U4HA5YLBaO\\\n",
       "flCLLzpvpVKB0WjkmAhCLRozmQySySSq1SrsdjtX28iMRV35LJfLLGKAXX8ooFk49fyj+jWNRoOF\\\n",
       "IAlFirHw+/1Ip9OIx+OYn59HKpVCKpVicaheL/1LbaxUgVQUhUWm3+9Hd3c3/H4/bDYbn9Pj8aC7\\\n",
       "uxvBYBATExPctgu8PMvZORuoNpohcUuCmK5Jr9fzzOLg4CD8fj8ajQbm5+e5RVSn06Grqwsnnngi\\\n",
       "Tj31VIyOjsLpdPLnJBKJIBKJIJVKAYDETuwHIggFQVgqiCAUBGGf+OQnP4kXXngBDz/88EE5/5VX\\\n",
       "XtlWeczlcvjBD35wUNZysOisHpFYrFarqNVqaDQaHJ1AOX4AuPqVy+UQj8eRTqeRy+WQTqexY8cO\\\n",
       "vPDCC5idnUW1WkUikYDdbsfAwAA7eNIXY6oqFgoFxONxVCoVOJ1OWCyWPbaizs3NYWJiAqVSCX6/\\\n",
       "n1061a2jtP/8/DyeeuopjI+Pw2KxYOXKlVi+fDm8Xi+bznTGNhSLRQDgWUKKjTAYDLBarXA4HNDr\\\n",
       "9W0toA6HgyubhUKBswoprsPtdsPj8cBsNrNwdLvdGBwcRHd3N5xOJ4tarVYLu92OUCiEcDgMq9Xa\\\n",
       "Vl01m80wGo0cc6F2MqVZTbPZDJ1Ox22nNO9nt9vR09OD448/HitWrIDb7Ua5XMbMzAxcLhfy+Tyc\\\n",
       "TidWrVqFdevWYWBgAE6nE3q9nqM5vF4v+vr6kE6nYTQauZ1V2DdE6AmCsBQQQSgIwivyqU99Cr/5\\\n",
       "zW/w4IMPoqenZ6/7hsNhxGKxtm2xWAzhcJifp21dXV1t+xxzzDF7PK7JZGqrQi0lFnOU1Ol0LHjK\\\n",
       "5TKKxSIURWEDERKJJKAoZmH79u2YmprCwsICMpkMZmdn2SGTcvPi8TgSiQTK5TIcDgcLN6oOZjIZ\\\n",
       "JBIJ1Ot16HQ6rnxRpY3ETyqVwvj4OLZs2YJCocC5iB6Ph4UTVcZyuRyee+453HvvvZiZmeHAeb/f\\\n",
       "z2JPHcZerVaRSqU4MkJRFNhsNq7IUYWNBJfRaITdbofH42FBmM1mMT8/j3g8jnK5DIPBAJ/Ph+Hh\\\n",
       "YQwODsLpdKJYLKJYLMJsNmNwcBBdXV2wWq1csQTA7qddXV3weDyIRqNoNptcWSQXVBKmWq0WNpsN\\\n",
       "Xq8XgUAALpcLAJBMJjE1NcUV0mAwiDVr1mD9+vXo7+9nQUcVyXq9Drfbjd7eXkQiETgcDhgMBhbv\\\n",
       "BoMBbrcbPT09yGazbKwj7BtSIRQEYakgglAQhD2iKAo+/elP45e//CX+9Kc/YXBw8BVfc9JJJ+G+\\\n",
       "++7DZZddxtvuvfdenHTSSQCAwcFBhMNh3HfffSwAc7kcHn/8cVxyySUH4jKOCDqdJ2m2zO/3c2RC\\\n",
       "vV6HwWDg9lByDW21WhzCnkgkMD8/j9nZWTZRqVar3MZI1S0APINHgrBer6NUKnEbKBm1UL4dzaeR\\\n",
       "6Q0JnImJCTbA6enpwdDQUFtWX7PZRDqdxubNm7Fjxw6kUikUi0XMz88jm82yeY26SpnNZjEzM4PZ\\\n",
       "2VnOLtRqtbBarbyfOpPParXCaDQiHA5zJa1er/P9yGQyMBqNiEQiGBoaQjAYhNlsbqtCulwu+Hw+\\\n",
       "Fl3Ay9EZDocD3d3d6O/vRyqVYmMfEqC1Wg2ZTAbVahUmkwnhcBhDQ0Po6emB0+lEo9HAzMwMjEYj\\\n",
       "ZmZm0Gw20d/fj+XLl6O/vx/BYBBarRb1eh0ulwuRSATNZpPNbijHsDPj0WazIRAIIBKJQKvVituo\\\n",
       "IAiCsBsiCAVB2COf/OQnceedd+JXv/oVHA4Hz/i5XC5YLBYAwIc+9CF0d3fjxhtvBABceumlOO20\\\n",
       "0/DNb34TZ599Nn7+85/jL3/5C2677TYAu75AX3bZZbjhhhswOjrKsRORSATnnnvuQbnOQ53OYHcS\\\n",
       "hFQRstlsKBQKKBaL3JJIURJqQxjK8qOKGTmTUqyDwWBAMBhEX18f3G43tFotCz1FUVjokSCs1+uw\\\n",
       "WCzwer3cNqrRaPjc+Xye5/ZKpRKMRiP/rM4YpKB4iomg5xqNBur1epvraLPZ5NnHF198EdFoFD6f\\\n",
       "D36/n+8JCULKVmy1WhzJMDAwgNHRUbhcLuh0Or4mqnbabDYOvicBRo6eer2e5/bongLg1tCuri6s\\\n",
       "XbsWrVYL8XicK4QWiwXlchlut5ujMYaGhjAyMoJwOAyz2YxarcaOsnq9HqVSCYFAAG63m1tsyZSH\\\n",
       "3hNqE6aKqXo+k2YhzWYz7HY7HA4HcrmcOI3uB1IhFARhqSCCUBCEPfK9730PAHD66ae3bf/Rj36E\\\n",
       "iy66CAAwNTXVZnxy8skn484778RVV12FL3zhCxgdHcXGjRvbjGiuuOIKFItFfOxjH0Mmk8Epp5yC\\\n",
       "e+65RzIIF4GqPp2ulWRoQl/4nU4ncrkcstksqtUqSqUSCwOq+jmdTnR3dwMArFYrSqUSPxqNBsxm\\\n",
       "MyKRCJYvX45gMNiW76coClcIE4kEZmZmUCwWUS6XeV7O4/FwhZKqi7VajauV5XIZ2WwW+XwelUoF\\\n",
       "ZrO57brMZjOsVisajQZsNhuLMoJmDePxOF544QU888wzyGQy6OrqQldXF3Q6HVwuFwtZdRSEVquF\\\n",
       "0+lkkaVuhVVHP6jn/4BdLq/qQHf17GZnILzX68XKlSths9mQyWRYhDebTRQKBRQKBSiKAo/Hg4GB\\\n",
       "AfT19fF8ZLPZ5JbOYrGIaDTKRkH5fJ5FKolCcmKlmUN6f+mPNWpRSBVNMhIS9g0RhIIgLBVEEAqC\\\n",
       "sEc6M+gW409/+tNu28477zycd955e3yNRqPBddddh+uuu+61LG9JoDZ06XQPBdA2x6bX67mlslKp\\\n",
       "QK/Xs3A0GAxwuVzQ6/U8d0atnvQvVbS8Xi+LOwBts4HFYhGxWAzj4+PIZDKIRqMsDPv7++HxeNhE\\\n",
       "hQQJVbVKpRLi8ThmZmYQDAbZVEVRFFitVvT19WFubg7JZJLbM0k0AuBjTExM4Nlnn8W2bdtQqVRQ\\\n",
       "r9fR3d0NrVYLr9fL9yCRSCAajSKbzUKr1cLlcsHtdvO9IkGovtdq10/1ts79CBKSJM6pUkltuLTm\\\n",
       "XC7HlVGbzQaXy8WtrmTco9Pp0NPTg6mpKcTjcaRSKWzfvh0Gg4H/KOB0OnlmslwuIx6PIxqNotVq\\\n",
       "IRAIoK+vjyMxaO0kBqlF+EgQL2eddRY2bNhwQM8hglAQhKWCCEJBEIRDmE5hos6xI/Gizuir1Woo\\\n",
       "l8solUos5KiVkMLN3W43t4GSaKFWQnK/VJu4AO1GLtPT0zx3F4/Hkcvl+OehoSH4/X6eY6RzUEVr\\\n",
       "YmICLpeLoyq8Xi80Gg0cDgdWrlwJRVGwsLAAi8WCoaGhNmHaaDSQz+cxMTHB5itU2Zybm2Ox63K5\\\n",
       "UC6XMTc3h6mpKZRKJQSDQfj9fnYI7aw8kqEO3a89fcFfLENQHTiv0+lgsVjaqp+VSgU2mw3FYhGV\\\n",
       "SqUtCoSqkiTy3G437HY7arUaFhYWkEwmkclkuPLb19fH2YeJRAKTk5MYGxtDtVpFMBhEq9Xi9l91\\\n",
       "7Ai5vpJhjfDKiCAUBGGpIIJQEAThMEAdYA68bDKjrhqazWY2S6FZN4qg6BRBapMa9aydOiNPHfFQ\\\n",
       "rVaRyWQwNzfHZi+FQoHbF8vlMjKZDFKpFAYHB2Gz2ZBMJtlMplwutwWjWywWzhi02Wyw2WwYHBzk\\\n",
       "WTetVgu3280tlbQWtVmOOnuQXE3HxsZgNBqRz+eRSCRQLBY5Q5BcTkksqa+NQt6pskao7wvdf3Xb\\\n",
       "KEHtrKVSiR1LqXWT4jAsFgtyuRxXVAuFAs8YkjCkuBC6nmq1inQ6jUwmg2KxiHw+j2AwiEajwYJ3\\\n",
       "amoKxWIRiUQCBoMBgUCAW0xpzc1mk3MohX1DBKEgCEsFEYSCIAiHIZ0ihYSK2WyGx+Nh100yj1EH\\\n",
       "zJO4oioVmZTQrKD6HGTsks1mMT09jfHxcaTTadRqNV4DiRd1TqHb7UY2m0UsFuM5PhIlWq0WY2Nj\\\n",
       "WLZsGbq7u2Gz2diR02azcWXRYDBweyet22KxoL+/H6tWrYLD4UCj0YDT6WT3z0QigUKhwAY1DocD\\\n",
       "Ho8HfX198Pl8sFgsXI2jOUPKZTQajVyxpPlJ9QwkzQqSwFbPIDYaDc5nLBQKsNvtbZVZeg/IFCeX\\\n",
       "ywEAVxNpTRqNpi1jkcQ03ROqEup0OiQSCczNzSGRSCCbzSKdTsNsNmNgYADBYJCFL1WGyUxI2DdE\\\n",
       "EAqCsFQQQSgIgnCYoP6CSm2OJMqoZZRaFqmqRu2I6rk4AG2CkH5XH5sqZ6VSiYXdtm3bMDMzg3K5\\\n",
       "zMem16lnBGkmkLIPC4UCC0gAbc6dALjl1WAwcGWN2inVeX/UErpmzRoEg0EWpmR4U61WsbCwgHw+\\\n",
       "j0wmA61WC4fDgf7+fnR3d7fl9NHsZCaTwfj4OJLJJBwOBwCwGFQUBalUits2FUWB1+tFKBTi6ia1\\\n",
       "jNZqNY7CyGQycLvd0Ov1bYJPo9FwhY7aQDUaDedrajQaVKtVVKtVno1sNBpotVooFAqIRqMwGo0o\\\n",
       "l8swm83IZrPcVprP57lqumPHDgwMDLBJk81mQygUQm9vr7iMCoIgCLshglAQBOEwQl3hIydPMoQh\\\n",
       "0aGeLVT/rG43JTGpNn4hcUmVvHK5zDl909PTmJqaQi6Xg6IoXPFSt61SSH02m+XqVrFYbJtPpBD3\\\n",
       "vr6+3ULe1TN5amdPum7K+7NYLAiHwyzqarUa8vk8isUidu7cyfOTZrMZIyMjPItIbbQk9sixdHx8\\\n",
       "HKlUCn6/Hx6Ph4PiKRtwy5YtGB8fR6vVQn9/P4455hgMDAy0XTMZvExMTCAej8Pr9cJkMsHlcsFu\\\n",
       "t7NgpwodzV3S/SEBl8lkUKlU2lp66f2qVCpIp9NsEpTP5xGPx5HNZjlfkIT78uXLYbfbYbVaYTab\\\n",
       "0dvbC0VR4Pf7cdddd71hn9fDGakQCoKwVBBBKAiCcJhBAoxEIc0AqiMTOsWgeiaQRF+nGYpaLKlb\\\n",
       "QWOxGLdCAuCQ904XWnWwPZ3bbDaj2WzCZDLBZDIhFArh2GOPxUknnYT+/n4WS3Q9agGkrlqqr0c9\\\n",
       "U0gtry6XC5VKhc+jNqYJhULcKto5H0iitVwu872s1+vQ6/WoVquIRqN46aWX8NJLL6FeryMej8Ni\\\n",
       "scBut8NgMMBoNKJSqSCRSGB8fBzbt29HIpGAy+WC0WhEKBSC1+vltVMMRS6Xw8zMDObm5hCPxxGP\\\n",
       "xxEOh1GtVtFoNFjIkZhWR2lkMhmOpCBRWavVeNvExAQ2b94Mt9uNrq4uGAwG+P1+WCwWRCKRN+Ij\\\n",
       "ekQgglAQhKWCCEJBEIRDGBJdJJSA9niEzllA9ZdY9WxhZ7spCSASWCTKWq0WC6dGo4FKpYJKpYJW\\\n",
       "qwWLxQKfzwen08mCTS3eaF6NqpVUOatWq9DpdPD7/VixYgWOOeYYjIyMwOfztQW903WqTW7UFUwA\\\n",
       "beKW9ifRS1VLm83G7Zgej4erkGqo4mi1WuH1erkdlSp4andUcucsl8toNpvwer1wu93QarWwWq0o\\\n",
       "FArYvn07nn/+eezcuRPZbJZzFAcGBhCJRGC1WlnEUpbj3NwcyuUyZmZmMD8/j2XLlvE9iUQi3AZK\\\n",
       "84tkXEPHoaooBdRTy+nCwgI2b94Mr9fLJjMWiwUWiwVer/cAflqPLEQQCoKwVBBBKAiCcAijbp1U\\\n",
       "O4uqhVynUFSbx6jFIR2jXq9jYWEBpVIJDoeDhQO9lgQWVbQoHsLlcvEa1KHzrVYLer0eZrMZNpsN\\\n",
       "VquVQ+WpCmm1WhEIBNDd3Y1QKMSxE53iTi0y1dmLne2j6i/gVJkk4ajT6WCz2biVlmYGSUipDXhC\\\n",
       "oRC3udI9ICMdej2J1kajgUwmg23btsFsNqNcLsPj8SCTyeDpp5/GSy+9hGg0ikqlglKpBKvVyuY5\\\n",
       "TqeTxZ266loqlaDVarn6unr1ang8HqxcuRI6nY7nG8vlMgtUteNqpxkQmdZQq6vD4WCHU6qSCvuG\\\n",
       "CEJBEJYKIggFQRAOYarVKoB2YUhVsj05RnZW1dSQ+cvmzZuRTqfR09MDk8nEEQn0WhJCdrsdfr+f\\\n",
       "5wbpnOVymSMUALCbJzmFUlsnHY/iJagVkiqSnWJwX1hsPzoOCWV19iG5dJLbJ4lEs9kMn88HnU7H\\\n",
       "xizFYpGzDcltlDIMyfBlfn4ejUYD8Xgcfr8fpVIJO3fuRCwWQ6FQYJFGbaRzc3Ocp5jNZhGNRhGL\\\n",
       "xZDNZlngaTQapFIpKIqCYDCISCQCl8sFi8WCrVu3IhqNcoWy2Wy2tQWTYFb/XCgUMDs7i6mpKQSD\\\n",
       "QXg8HtjtdnEZ3Q9EEAqCsFQQQSgIgnAIQ6Yj6kocOVeqq2LA7kJpsdzCZrOJfD6PZ555hiMaurq6\\\n",
       "uF2SqmcGgwFWqxUej4fbQCnbjgRHMplELpfjGbVgMLho8Lu62khCEABXAInO6iBdQ+fznde52DZq\\\n",
       "rywUCmzSYrPZuOWVqqvkaFoulxGLxTA3N4darQabzQan0wkA6O7uRqlUAgDMz89zBS6TycDhcEBR\\\n",
       "FG4pJTGo0WhQLBYxNzeHsbExnuGLRqOYnZ1l85hGo8FxFOTOGggE4HA4uC21WCyycQzdM3UFlqqa\\\n",
       "FItB97/RaLSJXHov9lV4H8r8+te/xqZNmw72MgRBEI4IRBAKgiAcwuRyOdRqNRQKBVSrVZjNZvj9\\\n",
       "fv7iv6c4CfXvBOUE5nI5zM3NcdRCPp9nQUJVJpqvoxk8k8nEZjLNZpP/pVbRcDgMn8/XNq/XuRaK\\\n",
       "s1C3bXa6i1LcRb1eBwAYDAYAaKsmdgpJaqGk50hAZzIZzM3NIRaLoVarIRgMYtmyZRzLoY67UBQF\\\n",
       "8/PzeOaZZ5DJZGC1WhGJRLBixQqEQiG+B61WC5OTkygWiyiVSshkMtDr9ajX6yzOaC31eh3pdBo7\\\n",
       "duyAx+OB0+nE1NQUEokEKpUK33MSciQC3W43nE4nrFYrqtUqpqamMDExgWw2y38UIFHrcrlQLBb5\\\n",
       "fpGRD7UC22y2tjZRqWTtO1IhFARhqSCCUBAE4RCG8vXy+TxyuRwsFgusVitcLlebaQyAPQpBdeWN\\\n",
       "Yhoo729PhivUkkoiUB0ST06cJpMJtVoNVqu1bXZwsZnAer2OSqXCFTuqcqnFGZnQFAoFzjq0Wq3c\\\n",
       "ZkozfurrI1FH25vNZlsMxPbt27Fz505UKhX09/fD6/UiHA63zV1qNBqUy2VMT09j+/btSKVSMBgM\\\n",
       "SKVSPPPo8/lgNBqRy+WQTCZRLBZRrVZRq9W4+kmtsWpn0HK5jKmpKa5OLiwscBahuj3X6XQiFArB\\\n",
       "7/e3tdV6vV74/X7YbDYYDIY2c59AIACdTscimCqrWq0WFosFHo8HkUgETqeTYy+OhOrgG4UIQkEQ\\\n",
       "lgoiCAVBEA5hKLTcbDazkAP2beaucx8SDSaTCcuWLUO5XGa3T5qr60RtMtPpVEriktoR1VU/tREO\\\n",
       "GdBEo1Hs2LED0WgUWq0WPp+P21UNBgOq1SpSqRSi0Si7hLpcLvj9frhcLlitVuj1+rZKI805kmEK\\\n",
       "na9YLCIajWLbtm3YsWMHh7wvX76cq2nq6IpSqYSFhQXO9aN2zGQyidHRUTgcDoTDYXR3d2Pbtm1I\\\n",
       "JBIswNQijKqNVP2jY4yNjSGfz3OkhdVq5dZSh8OBrq4u9Pf3tzmvKorCba1WqxUWiwUA4HK5EAqF\\\n",
       "0NfXB5fLxeJRnU2p0WhgsVjgdrvhcrlYEFIrrvDKiCAUBGGpIIJQEAThEIbiCyjigMxQALQ5cQK7\\\n",
       "u3QuFm5OAmTdunXQaDQIBAK7CULal9w26XVU+arX65yHl0wmUavVONBdXXmjYzUaDaTTabzwwgt4\\\n",
       "+OGHMTU1BQDw+/0YGBhAT08PrFYrKpUKotEo5ubmuD2SKl2BQAButxsmk4njMJrNJtxuN/r6+tDd\\\n",
       "3Q2z2Qyj0cgV1fn5eUxOTrIJjE6nw+zsLIrFIjweD1fX6vU6X0upVOIKZiaTQTQaRalUgsfjaZvf\\\n",
       "pPtF12swGODz+RAMBmE2m1EqlZBOp7kimkgkoNVqYbPZ4Ha7Ua/XYbfbodVq4ff7sXLlSgwODsLh\\\n",
       "cLAYrdVqfJ1UYdTr9QiHwwiFQggEAm1mMZRVSO+ZTqfj9ZLAFEG474ggFARhqSCCUBAE4RCGXDHJ\\\n",
       "1IW+6FMbZmesBAnBxXICSQxYLBYMDAywwCHBCbzccklihIxM6LU6nQ7lchmJRALT09OIRqM870Zz\\\n",
       "bVQpJLGVz+cxNjaGJ554As8++yzi8TharRbMZjN27twJn8/H15bP55HNZlEqlbiCRq2rZGrTarU4\\\n",
       "G9HpdGLZsmVYt24dt1HScRKJBFKpFHK5HOr1OrRaLTZv3oy1a9fC7XbD4XBwSPzs7CxSqRQHwwNA\\\n",
       "pVJBMplEKpWC2+1uy2QEXnZ7pepgJBLB6tWr4fP5kMvlsG3bNkxMTCCfz7NDKQlnci01Go0Ih8MY\\\n",
       "GRlBV1cXjEYj3/98Ps+Cm+YzSRjS75T5aDAYuApIlWAA3GZLbaVqsx9h74ggFARhqSCCUBAE4RCG\\\n",
       "WhBpho8EGxmnqOMWgJere2oRqJ4xozZEMqQhEUEiiI6rFma0nY6RSqWwc+dObNu2DfF4nFs2yZHU\\\n",
       "ZrNx5l4ul8OOHTvwf//3f9iyZQvi8ThHM+TzeWQyGczOznKbJFUm6aEWonq9nlsjqSXTZDJxpmJv\\\n",
       "by9WrlwJq9XKkRiVSoVNaqhK+eijj8LhcKC7uxutVgvT09PYuXMnMplMm+mNoiioVqsoFovs1plO\\\n",
       "p9n5ldZFjqyhUAiDg4MIBALs7FksFtuuwWq1IhwOs5iz2Wzwer3sfgqAcwyphVWr1aKvrw82mw0O\\\n",
       "h6OtbbharfL9WCzOg95bEsQyQygIgiB0IoJQEAThEEZt+EIuoOp2Top02FPbKO2nFlcajaZtFk89\\\n",
       "C1ev11EqlZDNZjknT6/XszAsFAqYmZnB1q1b2W3T4XDA5XLB5/Px3B8Jx+3bt+Ppp5/G5s2bOdJB\\\n",
       "LVBrtRpKpRKbsqiFjFrE0rrVpjIkbuv1OnQ6HRYWFqDRaNDV1YVCocCijQRTpVLB3NwcHnnkEZjN\\\n",
       "ZqxZswY6nQ7btm3D5OQkyuUy33OqnlJbZ6VSQTqdZkMZmtMjV091xqLFYoFWq0UgEEBXVxe3zbpc\\\n",
       "LthsNrhcLni9XrhcLjgcDthsNm7rpOpnMplEMplEpVKB2+1GIBBAIBDglthsNsvilCqUdrud10D3\\\n",
       "ks5NkRgkJoVXRiqEgiAsFUQQCoIgHMIsFq+wt6gJ9c9qwVWpVFCv11lU0r5UEazVauwEShWxarXK\\\n",
       "okdRFBSLRcRiMUxPT2Nubg6FQoGD4IvFIhYWFriFcmFhAVu3bsW2bdsQjUbbohFIjKormeqwdfoi\\\n",
       "3jkDuVh1iwxhYrEYqtUqHA4Hz9BRLAbdL8obnJycxCOPPIJ0Og2Hw9FmYkPh9ZQHODQ0BK/Xy62y\\\n",
       "VB0kR1Gj0QiHw8Gzf6VSiauCFF1BbaB0XLpnVPFTG+LUajV2LwUAh8OBQCDAQfUajQaFQoGrn+l0\\\n",
       "mvMLFUXhyi+5vdK8ZbFY5Pd+ZGTkwHxYj0AOlNBLpVLc3kzo9XoUi0UYjcYDck5BEIQ9IYJQEATh\\\n",
       "EEZd1aMvpxQcD2DRFkF1xES5XEYqlUImk0GpVOJ2U5ppowe1VtKcHFXdTCYT9Ho9yuUyFhYWMD8/\\\n",
       "j1QqxcYrVJUit0syUNm8eTM2b96MWCzG+1LUBQCeT6xWq22OnFQFJGdT4OV21c6KIV03tU7m83nM\\\n",
       "zMxwFEU+n+d7RHEZrVYLhUIBExMTaDQa8Hq9XLWkeUqLxQK/34/h4WGsWbMGgUAA1WqVHU29Xi/f\\\n",
       "FxJ11C5L56SZPspnpEqtWoSTOyldK10/VR3JRCcYDMLr9cJsNqPVanGbKBnXNBoNFpZ0bvqZBGo0\\\n",
       "GkUul0Oz2cSb3vSmA/qZPVI4kBXCUCiEVquFvr4+vO9978Odd96JhYUFOJ1OjiURBEF4oxBBKAiC\\\n",
       "cAhDc4LqdkkSVyR81O2B6upgtVpFJpNBLBZDLBZDJpNBsVhEuVxGNptlQVav1zlCgtpLdTodbDYb\\\n",
       "Z9jlcjnMz8/zvJ6iKOy2GQqFMDIygt7eXmg0Gja7oWMB4DB1t9sNo9GIUqmEVCqFbDbLRi3UykqV\\\n",
       "NKqmUX5hqVRCrVbjGT+qtKljGjKZDLeSZrNZrnLq9Xq+j81mE4VCAfPz8yiXy9yW63A42iqDK1as\\\n",
       "wPDwMIxGIwqFAoLBIFasWIFgMAhFUTgOgsQmtaXW63VuDSVRR0Y36XSahTeJQvV7q67ukchTR0uo\\\n",
       "Zz3pfVTfb8qPNJlMXNVNJpN44YUXuC32kksueaM/xoclB1IQ0vs4OTkJAPj2t78NjUaDarW6f4sU\\\n",
       "BEF4HRBBKAiCcAiTy+VY/FClix6Lzd1Ra2StVkOhUEAymeQoh2QyiWw2y4YxJF7q9XqbWQ0AFjEU\\\n",
       "TA9gt3ZGo9EIs9mM7u5ujI6Ooru7GwBgt9tRKpWQy+Wg1WpRrVZhNpsRDofR19cHt9vNrZtjY2NI\\\n",
       "JBIs3CwWCwKBAHp7e7ndMpFIYMeOHZiZmUE+n2fBarFYWMSROU69XkcikWDBVKlUuM2WhB+JJ3If\\\n",
       "NZlMMJvNHA4/OjqKlStXYmBgAD6fj0V2V1cXXC4XV+CoSkutm/Pz84jH48jn89BqtfB6vfB4PHA4\\\n",
       "HAB2ubs2m01kMhm+3yRu1VVeErBUKVTPBNLz5DJbLpdRq9W4ZVTtOEoRFDMzM9i0aRMmJiZ4TlJ4\\\n",
       "ZV6NIHziiSfatg8NDWHVqlW77U/i/qKLLsLtt9+Od77znQAAj8fzGlctCIKw/4ggFARBOISZmpri\\\n",
       "FlGbzQa73Q673c6CQd02CbzcLlqtVpHL5ZBMJpFIJPhBzqGFQoHFHYlCEijkRqnRaODxeBAMBuF0\\\n",
       "OrnCVS6XuRppNBoRCAQQCoXg9Xo5L9FgMMDhcOCll15CKpWC0WhET08PhoeH4fP50Gq1MDs7i2ef\\\n",
       "fRZbtmxBKpViI5aVK1fi6KOPRk9PD3Q6HRvB0Brr9TrMZjMLR4fDgVKpxO2xlP1Xq9XY/IVEtDqC\\\n",
       "gZ6nqqPD4YDT6UQkEkEkEoHP54PZbGZjHYfDwREZZrOZj1Uul2GxWDiOo1KpcEWPWkqpNZSqglTF\\\n",
       "VEdXqGckScBSrESn6KfX0ntO20gM0tqq1Sqmp6cxOTmJaDTKc5zCK/NqBOH111/ftl2n03E1UE06\\\n",
       "nYbL5cIdd9yBO+64A8AukZhKpV7jqgVBEPYfEYSCIAiHMC+88AK0Wi3MZjM8Hg8ikQi3VXZ+YSWR\\\n",
       "ps4RpFk9MkShtkuqOgLg/WnGjaIdHA4HhoeHMTw8jEqlwuYxNHdIQoQcNql1k0QJvT6RSEBRFHi9\\\n",
       "XoRCITZHGRgYwMDAAFasWIFoNAqtVovu7m4sW7YMPT09sNvtAIBgMIharYaFhQUWsX6/H2vWrMHK\\\n",
       "lSthsVgwNzfHz+dyOW6FpesxmUxwOBwc3VEqlXimkgQxCVwyiaF7TPOYrVaL4z/UgpDaO202G+/f\\\n",
       "arX4vOo4iEajwZEc6kB5EoR0T6lq2JkbqJ4xdDgc/McBchdVHw/YVTGlLMZKpbKoOBFeP66++mps\\\n",
       "2LCBfx8aGlp0v4GBAbRaLfh8PrzpTW/Cgw8+iEwmA5fLhWw2+0YtVxAEAYAIQkEQhEOaZ555ht0v\\\n",
       "A4EAV5+oCqeOm1DHOWg0GpjNZrhcLng8HqRSKa46Ubg5Ga8sLCwgkUigUCigXq/DYDDA7XbjqKOO\\\n",
       "wkknnYS+vj5oNBoMDw/D6/Xid7/7Hc8+qWcEqa2VRKHD4UBXVxeHvev1+jbR4vP5EA6HcdRRR7FI\\\n",
       "JQFF+1DW4HHHHYdSqQSv1wtFUbB69Wocf/zxHOswOzuLmZkZNlopFAoAwGI6HA5j2bJlGBgYgMlk\\\n",
       "QjKZxOTkJObn51EqlbgNlJxDqSrXbDbZXTWfz8PtdqPVasHj8cBkMnH11mq1wufzoauri+clPR4P\\\n",
       "C2WqUNJ96TTtUc+Aqt1X1c6rJPIMBgM8Hg8GBwfZmdLpdMLv93N7KYA2UUnHkxzCfefVVAg3bNiA\\\n",
       "c8455xX3TyaTsFgsSCQSvM1gMCCXy726xQqCILwGRBAKgiAcwtBsHblKlkolFlgk/AC0iUFgl0Cz\\\n",
       "2+0IBAIcNE8iyWq1YvXq1fzc9PQ0tm7diunpaeTzeVgsFoyOjmLNmjWIRCJwOp3c8rh+/XrMzs6i\\\n",
       "UCigUChAo9FwyyWwuxsqGb80m822WUi1WDEajW3mKmoRpCgKDAYDvF4vVq5cyVXIkZER9PX1wW63\\\n",
       "s4jS6XTo6enB9u3bkclkuErndrvR39+PY445BsuXL4fdbkexWMTU1BS2b9+O+fl5VCoV2O122Gw2\\\n",
       "nkckEUW5f3Nzc5ifn0ehUOAAerPZzILd4/Ggr68PTqcTFouFDXToWui4Wq2WnVU7q4Pq7EgA/D5T\\\n",
       "pZNeT7OWFHVBlU3ah94Ls9nMba75fF4E4X5woHMIJbtQEIRDBRGEgiAIhzAWi4UrZ2ojE7UpCUUZ\\\n",
       "kCAkcURthT6fD4FAAOl0GgC4+tfX1weDwYBsNovVq1dj8+bNmJ+fh9Vqxdq1a7F69Wp2yaSIiYGB\\\n",
       "Aaxbtw6zs7OYnp5msafOU1Obn9CDqlbqnEEAPAfZKSjVX5Z1Oh2sVit6e3thtVq5umiz2WA0Grm9\\\n",
       "tdlsor+/H+FwmFtb7XY7+vv7cfTRR2P16tXo6emB2WxGo9GA3+9HKBTC1NQUzzCGw2HY7XauvpIY\\\n",
       "o9bLdDqNhYUFlMtlHHXUUQgEAjCZTDAYDHA6nQB2GYPQmjvn/9T3oTM7Uh1JQbmNVNG12+2wWCws\\\n",
       "+IxGI1wuF/R6PccUUBsrHUur1cJms2F0dBSDg4OoVqv8RwHhlTnQgrBUKqG/vx/ve9/78POf/5zb\\\n",
       "iQVBEN5oRBAKgiAcwvh8Pmi1WphMJnasJAdJarNU5/QRJAiMRiPHIxiNRuj1ehiNRhaJVGkKBoMY\\\n",
       "HBxENpuFwWBAV1cXwuFwmwgxGAxwuVxYtmwZVq1axfEKBoNht8qT+gvyYnNw9K9aCO6pekUVOHL4\\\n",
       "pMgHtdgiAdzd3Y0VK1bAZDKh2WwiGAxi+fLlWLVqFXp6ejhGg+YBTSYTnE4nVxTdbjebydAspdFo\\\n",
       "ZHGXzWaRSqWgKArcbjccDge3mJIgs1qtHF5PolL9vqivU/0zVXkpTiKXy6HVanGLr9vt5vtNnwn6\\\n",
       "l8xzaIaUhLbNZsPy5ctx+umnw+l0YmFhYd8/fEucAykI77nnHpx11lmYmprCTTfdBGDXfydbt27d\\\n",
       "32UKgiC8ZkQQCoIgHMKEw2EWGzQPqNfr2dilXq9zuDu1Y5IzJfCyAKnX6yiVSshms2xqos7xMxqN\\\n",
       "cDqdvJ3m6dTzbSQwfT4fhoeHkU6nodPpYLfb2yp/nY6YtI7FhKC6VVJtqEIPtYCiGURqPyUBTG6a\\\n",
       "tVoNFosFy5cvR29vL+x2O8LhMBvZqMUtiUwyZXG73Rx7oXYRpbxFEorz8/NIJBJIpVJIJpOoVCpw\\\n",
       "OBy7ZR1SlAeZ0aizIulaO+8RXUutVkM2m0UsFmMH02KxiFqtxu2f1IpKFWMAbecDdlURDQYDuru7\\\n",
       "cfrpp2NkZATJZPL1/YAewRxIQXjmmWe2/aFAEAThYCKCUBAE4RDG4XCwILTb7TCZTADAAqhQKKBc\\\n",
       "LqPVarUFuhuNxrb5QhKExWIROp0O5XKZBZVazKiFRme7I+1rMBhgt9t5tpAqVYuxWNVvMTFIM3UA\\\n",
       "dnPXVIsodWslAJ63o+B6qlp6PB54vV54vV52F1WLW7oWMsChc1L7J127VqtlIUozhpQzqG6VVYtd\\\n",
       "Wjtdk9o9tPN32lctPuj9qlQq3DpqMpnYzZUqkiT6CbqPJJjVa/f5fNDpdPD7/a/wiRMEQRCWGiII\\\n",
       "BUEQDmG6urrYjZLEQL1eRzqdxvT0NBvB6PV6+Hw+RCIRdHV1wePxsOEJGdKkUiksLCwgl8thZmYG\\\n",
       "w8PDsNvtbaH36sgDdZUOaJ91s1gs8Pv97Ki5mHjsrIapw9c7DVTIKAdAm9ihmUjal+IxSPxUKhUk\\\n",
       "k0ksLCygUqlwm2gkEkE4HG5rsVSLSRJyVPUEwNVVtSBstVowGo2w2Wyce6gWjuoKplrUNZtNviYS\\\n",
       "Zuq5QTLcUVdD1feHri2fz3M1tFNA0/tLlUGKF2k2mzCZTHC5XHA6nTCZTPy7uq1Y2DsHeoZQEATh\\\n",
       "UEEEoSAIwiGM1+vl1k6j0YhGo4F0Oo2tW7di06ZNmJycRLlchtFohN/vx/DwMAsCqoqRIKpWqygW\\\n",
       "iyiXyywkqWLUKQLVwq3T7CSbzXKl0el0wuFwtLUuLmZ0Q1VIdStro9FApVJBLpfjY5IzKFXgKpUK\\\n",
       "t8Q2Gg0WP+ScGo1GMTExgXg8znEQ69ev53gJciWlc6rjHDrbU0mkqSuUtI3aRkmgA+D2VYrU6BSd\\\n",
       "1WoVpVIJwMuxHOqqJFV71een94vaPcnFNZfLtc0I1mo1Nr9ptVosHjOZDP+BgNqN6bNDBjzCviGC\\\n",
       "UBCEpYIIQkEQhEMYm83GAkKj0aBSqSAej2Pbtm3Yvn07FhYWUK/XOVOw2WzC6XSiq6sLfr+f4wio\\\n",
       "dZIMVcrlMqrValulbLEZQLW4oeiF8fFxzMzMoNFoIBgMcvaduprYaDRYEDWbTTZmoXPRMVOpFGZn\\\n",
       "ZzE7O4tMJsMRFo1GA/l8njMFyTSlMx8wHo8jHo+jWCwCALeHrly5Er29vQB2N7jpzPfrrIASapGo\\\n",
       "1+thsVjg8Xh4zk+j0XAbLgCeT2w0Gnz91PJJYo/C6q1WK5vWdJ6PMhFtNhuKxSLPgGazWT5uuVyG\\\n",
       "x+OBxWIBAFQqFaTTaczNzSEWi0FRFKTTaT7XnlqAhT0jglAQhKWCCEJBEIRDGGqfJBFUKpWQTCaR\\\n",
       "TCa5PZDaKdXulM1mk+fHAKC3txejo6PIZDKoVCq7ZeQtJgaJRqOBXC6H8fFxPPfccxgfH0exWGyr\\\n",
       "XqqrcOSUmU6nkUgkuHKnztyr1+vI5/OYnZ3F5s2bMTExgXQ6zUY5dC2ZTAblcplbL6mlUy1sKWKC\\\n",
       "5vKmp6cxNjaGkZERFtSdFc/OoPbO9lYSZ4qitFX0rFYrKpUKFEVBuVzm61Ob1lA1lQRxqVRqiwIh\\\n",
       "IxuK7KBqZL1e53ZYvV4Pq9UKu92OVqvF+ZO1Wg3lchn5fB5ut5tdU8vlMqLRKIv1VquFVCoFp9MJ\\\n",
       "t9vNlUdh3xFBKAjCUkEEoSAIwiEMVZuoOpjJZFAoFKDT6djdksLLSQCazWZ2CSWn0O7ubhx33HHQ\\\n",
       "arXI5/MYHR3lHLs9xUKQYKI21S1btmDTpk2IxWJ8LhKE6nlDqmZNTk5idnaWZ+3IFEdRFHbSnJyc\\\n",
       "xEsvvYTp6WmuBJIgLBaLLPbUwfZGoxFms5mvjaptJLrK5TLGxsYwOzsLt9vNFT4Sq9RyWqvV+N6p\\\n",
       "hbdaCKhbOSkL0mKxoFQqoVAooFAoIJvNwuVywe12w2q18ntVLBZRKBSQy+XaMgXJvEfdEkrtsXTc\\\n",
       "Wq3GVUkSilQZTKfTiMfjnE9oNBpRLpcxNzeHyclJxONxKIqCarWKSCSCSCQCg8HAfxzw+Xxv7If4\\\n",
       "MEUEoSAISwURhIIgCIcw9OWeBEM2m4VGo0EoFGIhUK1WUalUoNPpEIlE0NfXx4HyNLvmdruxbNky\\\n",
       "bkMcHBzk6tLeqoPALmFI5i2JRALZbBY2mw1arRYWi4VnFIGXIyAWFhYwNjaG+fl5uN1uBAIBFl8A\\\n",
       "uNoZi8UwNzfHpjBqEdrp0kmvbbVanPdHLqzqCA5FUTA9PY0XX3yR22bVYrVYLCKfz3OFlYQX3YvF\\\n",
       "BDIJYJrfK5VKyOfznEuYTCbhdrvhcrk4A7FQKCCfzyOXy/H7Q8KQ2kvL5TLPCJLYJ3Mdum56D0lo\\\n",
       "5/N5bhMmo6FqtYp4PI6FhQUUCgU2vpmfn0csFmMhCwD9/f2v/wdVEARBOGwRQSgIgnAI89xzz7Gr\\\n",
       "JLVMWq1WDA8P8zwZRU/o9XpEIhEMDQ3tVv0zmUzw+XwwmUyo1+twuVyctbc3SCCZzWY2kKnVanA6\\\n",
       "nfD7/W2tpwC4vTEajWJ6ehq5XA42m42PpX6QGYo6MkJdAaQqZ6lUQqVS4Uqe1WqF1+tFT08PQqEQ\\\n",
       "70MCM5vNYmFhAU8//TT8fj/sdjt8Ph8b66TTaczOziKVSvHMJR2n01BHbUJDc5DUEkqtm7T+crmM\\\n",
       "UqnEYpkqflTpBHa1hdLxyYU0mUxienoa8/Pz/D5SxAWFzpNgTCQSyGQyqFar0Gg0nCHZbDaRz+c5\\\n",
       "r1Cv13PUSCaTQTqdRqVSkUrWfiAVQkEQlgoiCAVBEA5hHnnkEQDgWIm+vj6Ew2Ge3yuXy8jlcqjV\\\n",
       "ajAajQgEAgiFQrsZvVB0hVar5czCztk64OXQePUXXApuX7ZsGUqlEuLxOBwOB5YtW7ZbBU49P5jN\\\n",
       "ZrmSZTab2/L+SNxSpYzWaLfb4ff74fV6YTQaUSqVOAi+XC5Dq9XC4/FgaGgIy5YtQzgchl6v5/Mp\\\n",
       "ioJCoYBMJoNt27axcKRKWq1WQzqdxtjYGCYmJlCv1+HxeLB8+XLYbDY4HA6+F9ReCrycjUjOoOqs\\\n",
       "QKo6kokMVRSpNZVEGeUlUmg9tZxOTk5i+/btiMViqFarnPPocrlgt9uh0WhQLBb5PtAx6B7Smih2\\\n",
       "g6C5UxKqVG08EsTLWWedhQ0bNhzQc4ggFARhqSCCUBAE4RBm+/bt0Gq1bI4yMjKCQCCAYDDIgtBu\\\n",
       "t6NSqbBws1gs0Ol0u2XkqbP91CHoi4XPd77O4XBgeHgYFosF2WwWZrMZoVAIHo+HZ+GAl9scKcDe\\\n",
       "YDCwsCFBSFVHqgTSPKDBYEBPTw+WL1+OoaEhuN1u1Ot1xONxTE9PY2FhAa1WC8FgEMuWLeN9Wq0W\\\n",
       "kskkUqkUMpkMpqenuZV269atmJycRCQSYXfTYrGI+fl5jI2NoVgswul0QqPRIBgMwufzscAloUdr\\\n",
       "VQtYp9PJlVtFUZBMJrn6R1VFciOlimW5XIbJZOK2VqvVyuulimWtVmPhmUwm+b2sVqttFUBqm1W7\\\n",
       "xHZmPgLgecxqtdpm/iO8MiIIBUFYKoggFITDnPHxcTz00EOYnJxEqVRCIBDAsccei5NOOolNJITD\\\n",
       "l1KpxNU9g8EAj8fDERJUtaJ5OxJy6jD3zi+15EhKQoYMX9QxDJ0zhSRQvF4vzGYzV6doLk1didRo\\\n",
       "NDCbzQgEAujp6WGhZbPZ2qpTJFxIFNrtdjgcDoyMjGDdunUYGhpi0xxyVk0kEtyuSlVSk8mEVqvF\\\n",
       "84Szs7OcD1ipVJBIJBCNRlEul2G1Wrmyl8/nkUwmkcvlUCgU4HK5EI/H0dvby4HvZOKj1Wp5LSQK\\\n",
       "qYWWXF61Wi0KhQLfc5pXLBQKvIZSqcTtnSSUs9ksstkst/1SnEW1WmWXUq1Wi1qt1pbJCIAzE8kQ\\\n",
       "h8Qhvc+U1ZjJZFAsFnneU9h3ROgJgrAUEEEoCIcpP/3pT3HzzTfjL3/5C0KhECKRCCwWC1KpFHbu\\\n",
       "3Amz2YwPfvCD+Od//mcxkTiMcbvdMBgMCIfDGBkZQV9fH8//UUtiMpnE3NwcqtUqPB4Pent7EQ6H\\\n",
       "4XA4eL6P5vVyuRzS6TTPzjkcDhYKJCxIaKidNikygcLNO4PsSeBRlXLVqlUIh8NoNptwOBzsrkli\\\n",
       "tFwuo1wuc/uqw+FAOBzGsmXLMDIygnA4zDOOrVYLkUgE9XodjUaD5wxpRrLVasFgMMBms2F4eBib\\\n",
       "Nm2CwWBgExt6HYlkyj+k9starcbVRaqmaTQa5PN5TE1NodlsIhgMIhQKweFwsCikXEW6F4lEgts5\\\n",
       "yYRnenoak5OTbe2g1EZLgi2dTqNYLHLLJ91PtUinGAuKpSCazWZb9Ai1ozabTeRyOUxNTfF7S58n\\\n",
       "Yd+QCqEgCEsFEYSCcBhy7LHHwmg04qKLLsIvfvELDuAmqtUqHnvsMfz85z/H8ccfj1tuuQXnnXfe\\\n",
       "QVqt8Fro7u6G0WhEOBxGMBiE1WrldtB6vY5MJoOJiQls376dswEbjQabjaj3zefzmJycxNjYGGq1\\\n",
       "Grq7u9Hb2wufz8dij+IZOkUh8LLwUf8OtLeJUjWRXE7VrpokyKjaRdl66oolZf7R+dUtprQ2+l29\\\n",
       "Fgp9t9lscLlccDgc0Ov18Hq9LKrVc45UbSOBRbEMlD1I+0SjURZqFouFZzPp3HRMyoHM5/Nc2Zuf\\\n",
       "n8f8/DwymQxKpRJfZ7FYRCaTgUaj4TlCqvx13kdyBiWhSPdbXb2lNla6FrXwzeVyiEajLGQrlcoB\\\n",
       "/LQKgiAIhyMiCAXhMOSrX/0qzjzzzD0+bzKZcPrpp+P000/Hl7/8ZUxMTLxxixNeVyKRCBvKWK1W\\\n",
       "roiRw2g6ncbMzAwmJiZQKBSQSqVgNpvh9/vhcrm4QlgulxGLxfD888/j+eefR6PRwOjoKLcculwu\\\n",
       "Fkb0b2dG4d5iKTpz+9RzeFQ9pJk7EoRkdkJ5fRSpQLl86koYHZse6nWRgKP9HQ4HAoEA6vU6hoeH\\\n",
       "EYlE2oQcxThQ5dNiscDv97MwpjnAcrmM+fl55PN5NJvNNqFJVbtCoYCFhQVMTExgamqKHUDJDCcW\\\n",
       "i7UZyQBg0x1yAS0Wi2g0GnwfqSXV4XDAbrdzxY8ELIlko9EIp9MJl8uFZrPJxyRhSdVRWqNer0c2\\\n",
       "m339PpxHOFIhFARhqSCCUBAOQ/YmBjvx+XwSRH0YQzN6NPtFwocelItHWYRGo5HbD6lipJ5ni8fj\\\n",
       "iMfjaLVa8Pv9yOfzqFQqXHkkgUiv63Qc7YTEHoA2Uaiu4qlNVtQtjiQOSSBSiDtV5DoFofo8tC46\\\n",
       "LrVLNhoNGAwGOBwOAEAgEGgTceTMSRXRVqsFm80Gj8cDu93OIpjuWblc5nUVCgVUKhV2a6UZQ4rY\\\n",
       "mJmZ4YxAeo7iNOg+qauPdAy1GCSRStVBq9WKer3e5tBKlVSj0QiXy4VAIMCfAcpWVM+PqvMXhX1H\\\n",
       "BKEgCEsFEYSCcISwsLDALoxq1q5de5BWJLweWK1W/mJKwomcKMnAhSpJlD+nKApqtRrq9TrHJhSL\\\n",
       "RcTjcczPzyMej0On0yGVSiGXy7GZibpNU92SqZ4VJNQOpupti/2sFrBqQUsVMsrYq9Vq2LZtG0ZH\\\n",
       "R+F0OgGAW15J4FD7KVX4qHJGeYD5fB56vR6hUAhOpxPLly9HIBDgmA2j0QiPx4O+vj4sLCygUqlg\\\n",
       "eHgYK1asQDAYhMViaXPozOVySKVSUBQFXq8XNpuNRVwsFsOWLVvw7LPPYnx8HOl0mkPl1ZVQtTAn\\\n",
       "QUjmMbQ/XQ+J2UAggEAgAJvNxu+PWuyZzWZ0d3fjmGOOwdDQEEqlEp577jls3boV6XQarVaL5xyp\\\n",
       "skxzm8K+IYJQEISlgghCQTjMeeqpp3DhhRdiy5Yti2bJqXPJhMMPMgNR58nV63V2+AyHw1i1ahWM\\\n",
       "RiMLvUgkwi6k6rk9EiEmkwl6vb7NTGaxQPZOl9JOA5nOWAuqXtF6qXrZaYSifi2JJqpqbtu2DZFI\\\n",
       "BFarlecn6VjArnZoq9XKVbpGo8FiN5vNIplMQlEUuN1uRCIRdHV1ceQFCUKv14tly5bx2kZGRjA8\\\n",
       "PMwttsDLIpgEZyaTweTkJJrNJkwmE9LpNLZv346tW7dibm6OK4N0L+geqO8jiVnKDrTZbOxQSm6v\\\n",
       "1L4aDofh9/thMpm4pZT+EAAAXq8XxxxzDE499VQMDAywoZBer8f4+Diq1SpMJhO70tK5ZIZw3xFB\\\n",
       "KAjCUkEEoSAc5nzkIx/BsmXL8O///u8IhULyxeQIw2QytbUTUqWJhIXBYIDVakUkEkE2m0Wj0YDV\\\n",
       "aoXb7ebYERJjFosFoVAI1WoVFosFAwMD7JxJwfHqrEISYeoMQ4JEGpmdkDspAG5RLJVK3GZJ10KC\\\n",
       "Sy2aqN2zWq1ifn4emzZtgk6nw+joKM/Q0TFsNht8Ph9cLhc7dmazWczPzyOXyyGRSKBarcJms8Ht\\\n",
       "dsPhcLAAJsFqt9vR19cHAGg0GohEIvB4PFxFVAs42latVhGNRpFMJlEsFjE3N8eGMZVKpS0PUG1e\\\n",
       "QwKZ2n4tFgu8Xi8ikQhCoRB0Oh07v9ZqNX7e7/fD6XTynKDBYIDRaEQ2m2XRf/TRR2NkZATBYBCt\\\n",
       "Vgs6nY7dYylKo6uriyufNPP4i1/84gB8Uo88RBAKgrBUEEEoCIc5Y2Nj+MUvfoGRkZGDvRThABAI\\\n",
       "BFgQUvsfhaSbTCaYzWZYrVZ4PB7UajWeR1PPmwG7BInb7cbg4CCbo/T29qK7u5vFI7WbUjun2vWS\\\n",
       "BBIJHTJOoTZVEnvUBklVu7m5OeRyORiNRvh8Ps4OpJk3MpCh45bLZczOzsJgMCAej/MsILW0UgYh\\\n",
       "Oa42Gg2kUinMzc2xqQ4A2O12vj/q+TsSeR6Ph1tqnU5n27Wr75ndbofFYkGpVOK8wEQi0RYxQfuS\\\n",
       "SKf2XnV1UKvVcj7jihUrcMwxx2BwcBBmsxm5XA7z8/MsZo1GI88PUiXU6/UiFAqhWCxCp9MhGAyi\\\n",
       "t7eXq5/ArqrhyMgIjEYjqtUqvF4venp64Pf7+Y8D9Xodn//859/Qz/CB4Ne//jU2bdp0QM8hglAQ\\\n",
       "hKWCCEJBOMx529vehmeffVYE4RHKwMBAW4i70+mExWLhmAVyzaTqU+esXr1eZ+dKu92Orq4ujmLw\\\n",
       "+/1wu92wWq1suqKu1gG7qnrqzEFFUdjdNBqNIp/Pw2KxwOfzsbCqVqtYWFjAli1bsHnzZsTjca5I\\\n",
       "joyMwOv1olKpYGFhAblcjqtbJDprtRofW20GYzab4fV6WcjR3OTCwgJmZmbYsdNqtXK7JUVp0PGp\\\n",
       "umo2m3k+DwBnOgIvVzipmuh0OtFqtZDJZHjesVgsshg0GAyw2+3weDxwOByo1+tIJpPsOArsqhxa\\\n",
       "rVb09fVh/fr1WL9+PSKRCAwGA6rVKhKJBGZmZhCLxVAsFqEoCpvfUJUTALeAm0wmXhdVT1utFgt9\\\n",
       "itwIBoNwOp0sLDvnPgVBEARBBKEgHOb84Ac/wIUXXogXXngBq1ev5moB8e53v/sgrUx4PaCMSar6\\\n",
       "UdWLBA7wcpsifeEngUVh7PQ8hbeTq6bL5WqrQpGYLJfLyOVyHCpP1S+aqSuVSpiensbTTz+NWCwG\\\n",
       "h8OBZcuWob+/HzabDaVSCWNjY3jqqafw/PPPI51OQ6/XY2ZmBul0Gn19fWg0GhgbG0MymWRnUBK1\\\n",
       "JGxTqRRqtRoURWFHTYPBwOYolOM3Pz+P6elpzjX0er1oNpswGo2cxah2PlVX86iqWi6XueWSRC85\\\n",
       "kDqdTg6RpxZXej8MBgM8Hg8GBwcxOjoKv9+PTCaDF198Edu2bWtrq7XZbOjv78eKFSvQ29sLl8vF\\\n",
       "7xOtU6vVctQFncdkMsHr9bILKlVT1XOl6nlNErHUWkuzouqoDuGVkQqhIAhLBRGEgnCY89hjj+GR\\\n",
       "Rx7B73//+92eE1OZw59gMAjgZddOtahZzNwFQJtLKH0GyICl0Whwiyc9SOyRGJyZmWEDle7ubq4w\\\n",
       "ArtaN2OxGB555BHce++9iMViMJvNWL58OU488UQMDAygVCrhqaeewlNPPYXJyUkWb9RqSRWshYUF\\\n",
       "xONxNBoN2Gw2hEIhNpJJJBKYmppCLpdDrVbjdtRAIMAtlUajEY1GA8lkErOzsyiVSiy+Wq0WLBYL\\\n",
       "zwCqg+SpEmk0GllEUcVPXSlVFAU+n4/bPsvlMsxmM0wmE5rNJgwGA7q6unDCCSfg5JNPxuDgICwW\\\n",
       "C1KpFILBIM9P1ut1mM1mdHV1Ye3atRgcHITD4eCMSPXsJeVLUrWz1Wpx+6vH42HX2Wq1yq2ys7Oz\\\n",
       "yOVyAAC3243u7m7Y7XbYbLa2+Un6PAj7hghCQRCWCiIIBeEw59Of/jQuuOACXH311QiFQgd7OcLr\\\n",
       "TGfFF9j9iypV9gC0ffEnEURzbRTPQPl7nfs1m03k83lMTEzgxRdfZGHl9XrhdDqh0+nYxGVqagrz\\\n",
       "8/Nc/dPr9QgGgzCbzdwySi2T1LZaqVS45ZLyEmnWjuYDu7u7WcikUimuIALgFk210ygFyZPYpVZZ\\\n",
       "qjiqnVPV90pd4aNrpyxHdb6h1WqFy+VCpVKB0+mEw+FAsViEyWSC2+3Gsccei9NOOw2rVq2C2+2G\\\n",
       "VquFzWbDypUr8cwzzyAWi6FSqcDhcKC/vx99fX1c6VOvS6fTwWw2w+l0wuPxIJvNolqtotFocNQI\\\n",
       "CXOq5up0Om69jUaj/P74fL62PxaQoKXPjrBviCAUBGGpIIJQEA5zkskkPvvZz4oYPELpdPdUow5l\\\n",
       "p0owCYbOdtJ6vY5EIoG5uTmuVqmfpzbEdDqNl156CZs3b2ZnzP7+fgSDQRgMBjQaDTZvoRbNRqPB\\\n",
       "Tpm5XI5bMNX5eyQ8qbqnjtOgh6IoMJvN8Pv90Gg0mJ+fRzQaRblc5uukGUAyXXG73XC5XGxUQ7Ea\\\n",
       "dA6ap6T7RTOSJKioSkdikFpF1eu12+2oVqvI5XJcMdRqtRgeHsYpp5yCVatWcdYhibahoSGsWbOG\\\n",
       "hXF3dzdWrVqFUCgEs9nMIlxd+dXr9bDZbPB6vSyW6Zo67yM9aIYwn89Do9HA6XS2CWN1LiIJHJpH\\\n",
       "FPaOCEJBEJYKIggF4TDnfe97Hx544AEMDw8f7KUIbxDUIkqmMZVKhdsyaQaPWiwpgzAej2PLli0Y\\\n",
       "GxuDzWbDyMgIurq6WGCQcEomkxgbG8P09DQMBgP8fj9yuRyLKHXgunpGkaAWSHrQ7waDAU6nE319\\\n",
       "fRgaGmJjGlofRVRQ9EIoFEIkEsHk5CTP7pHZDc3VkQNpJBJBIBBgQxun0wmr1QoA/Bq6F2RIQ220\\\n",
       "ZrOZr4PaNKvVKnQ6HSwWC7u4UvRFvV5nl9ajjjoKRx11FAKBAAtQEhGhUAgnnHACqtUq4vE4ent7\\\n",
       "sXLlSrjdbm5LVb+fdO+MRiMcDgf8fj+7tdpsNo7roPde3fZqMpk4MoTef6p8UuWUKqOtVgtOp/MN\\\n",
       "+Zwe7oggFARhqSCCUBAOc5YtW4Yrr7wSDz/8MNasWbNbi+FnPvOZg7Qy4fWA2iQBcCVPLQZLpRKS\\\n",
       "ySRSqRQUReEMO5vNBr1ej1qthkQigS1btuCpp57CzMwMrFYrTjjhBP4jgrqtMp/Pc9ae0WhEuVzm\\\n",
       "tk46L1Wf1GHr1FpJFSqHw8HClOIbRkZGcOKJJ6KnpwcLCwuYnp5mQagoCrLZLIrFIvR6PZxOJwYG\\\n",
       "BjA2NsbVSDJ2qVQq3JppMpkwNDSEWCzGrqUUs9BZqSQxSCY1NF9HrZbNZhO5XK4tJsPpdLZFV5jN\\\n",
       "ZtRqNfh8PgwPDyMQCHBkBwljvV4Ph8OBFStWwGw2I5VKwel0oqenp606Svdc/f5SLIbT6WRTH6PR\\\n",
       "yE6waug8gUCATXSommuz2dgkp1qtolgsolAooFQqYWBg4EB9XAVBEITDEBGEgnCY84Mf/AB2ux1/\\\n",
       "/vOf8ec//7ntOY1GI4LwMGdubq5NeKmNYsrlMpLJJCYmJjA7O4tGo4FQKITBwUGe5yuVSti2bRue\\\n",
       "fvpp7Ny5E5lMBhaLBVNTUygWi23h6VQFozZDEkDqyAIShNTiaDAYYLVaEQgEEIlE4Pf7WTA5HA7k\\\n",
       "cjkoioJIJIJ169Zh3bp1bI7idrv5vCRG1eYo/f39GB4extzcHLem5vN5ZLNZtFotFmI9PT1YtmwZ\\\n",
       "XC4XFhYW4PF4oNfreWaR2irL5TIajQYsFgs8Hk+bkKPw+Xg8jkQiAZvNBqvVytdPBjV2ux0A4HK5\\\n",
       "WHiqHV/VraZerxcGgwGlUoljJzpFXSd0Xy0WC98bcoelmUiqEBoMBrhcLvT19fE97erqQiAQ4Aop\\\n",
       "GdQsLCxgbm4OyWQSb3/721/fD+kRilQIBUFYKoggFITDnPHx8QN+jn/7t3/DN77xDUSjURx99NH4\\\n",
       "f//v/2HDhg173P/uu+/G1VdfjYmJCYyOjuJrX/sa3vnOd/LziqLgmmuuwfe//31kMhm86U1vwve+\\\n",
       "9z2Mjo7u99peKVfte9/73mEdvXHDDTdwhqDX6+Uv/jqdDuVyGdFoFDt27MD09DSq1SpisRgKhQJ6\\\n",
       "enpgt9tRKBTw4osvYnx8HPl8ntsn4/E40uk0QqEQV5JKpRJKpRIbnLhcLgSDQY6eAMCxCyRIFEWB\\\n",
       "x+NBX18fenp64PP5UKlU4Pf74XQ6kU6nodFoEIlEsHz5cvT09MBsNqNcLsPj8fAxqJpHM4hWqxWR\\\n",
       "SAQrVqzA2NgYcrkcKpUKSqUSMpkMVwnJ3IXcSUmMtVotFAoFVKtVlMtlZLNZ5PN5AIDP52trOSVT\\\n",
       "mkwmg5mZGUSjUc7wIwMbqipSwLvVauW23E7UopAyBJvNZptwVO+7WJWQqpJq4a0WhMCu+VKbzYZw\\\n",
       "OIxQKASbzcYxEzQ/Wa/X0Wg0kM1meSZT2DeOBEFYKBQQiUT4Dy2CIAiLIYJQEI5Q5ufn8ZOf/ARX\\\n",
       "XHHFazrOXXfdhcsvvxy33norTjjhBNx0000488wzsXXrVo5EUPPoo4/i/PPPx4033ohzzjkHd955\\\n",
       "J84991xs2rQJq1evBgB8/etfx3e+8x3ccccdGBwcxNVXX40zzzwTmzdv5i/cwi7uvPPOtlD5gYEB\\\n",
       "9PX1we12o9VqIZFIcAh6uVzmIPRyuQyr1Yp8Po+dO3cinU5z5U+j0aBYLCIWi7GAq9VqmJqawsLC\\\n",
       "ArdshsNhRCIRFoTqmUUKTjcYDAiFQhgYGEA4HIbT6YTBYIDb7YbdbmeR5nQ6WawYjUbYbDb4fD5Y\\\n",
       "LBaOxCDjlnK5zNc8PDyMkZERzM3NsSEMBcRXKhWOlbBarXA4HHA4HDznmM1moSgKMpkM4vE4crkc\\\n",
       "9Ho9ms0mvF4v5xU2m00UCgXMzc1hfHwcyWQStVoNo6OjMBgMMJlMbYYuNDdJ4pjEsroVlPbV6/Xs\\\n",
       "AAugzfFTbf6jzkmkeUB1xIja/EdtlGMwGGC327lSS/ODJHJpllM9qynsG0eCILTb7fyHEEEQhD0h\\\n",
       "glAQDnM+8pGPLLp9cnISTzzxxGsWhN/61rfw0Y9+FB/+8IcBALfeeit++9vf4oc//CE+//nP77b/\\\n",
       "zTffjHe84x343Oc+BwC4/vrrce+99+K73/0ubr31ViiKgptuuglXXXUV3vOe9wAAfvzjHyMUCmHj\\\n",
       "xo34wAc+8JrWe6QxNTUFjUYDo9GI+fl5xGIxpFIp9PX1wWq1shulOqg8mUxyqyFVhihOgapc1WoV\\\n",
       "4+PjHIqey+UwMTGBsbExNJtNFoTUFgm83FJKraYklrq6utDb29uWk0czhGSgQsIEAK/D6/Wy2KT5\\\n",
       "vlwuh0KhAEVRYLFYEAgEMDIygi1btvD2XC6H+fl5xONxXhfNCZJ5TKlUQr1eR61WQzKZRCwWQz6f\\\n",
       "54ofzSSSu2g0GsXOnTsxMzODYrEInU6HYrHIgkxtnkPiCnjZ6VVt7KKeyeyMuyBRR62jakMeuk8k\\\n",
       "/tSOomox2Jk/SeYyRqORZyIBcJsxXTO1vwr7xpEgCAmLxYJyuXywlyEIwiGKCEJBOMxJp9Ntvzeb\\\n",
       "TYyNjWHLli245ZZbXtOxa7UannrqKVx55ZW8TavV4owzzsBjjz226Gsee+wxXH755W3bzjzzTGzc\\\n",
       "uBHArhbXaDSKM844g593uVw44YQT8Nhjj4kg7IAqftT6R2KgVqvB6/VCURSUSqW2HD4AqFQqaLVa\\\n",
       "yOVySCQSqFarXLGyWq0ol8t46aWXsHXrVpRKJWSzWW6x1Ol0CAQC8Hg8sFgsLLKazSaKxSK7flJY\\\n",
       "en9/PyKRCBuwKIoCm83GxjZqQxr6WafTweVycdsoxT2Q2yi1WNrtdoTDYYTDYY6gKBaLmJychM/n\\\n",
       "4/k8MqSh3ENqay0Wi4jH44hGoygUCrBYLLDb7Ugmk/B6vajVashkMti+fTsb2JDTKQXDk/Ai0U1h\\\n",
       "9hqNBqVSiXMGqY1ULRxJrKrXRDOTVMnrnD9c7F8AXKWkiqN6nlMtFAlq67VarfB4PPD7/VIh3A+O\\\n",
       "JEFIfxACdpkRdXV1YWpq6iCvShCEQwURhIJwmPPLX/5y0e1f/vKXsXHjRnz84x9/1cdOJBJoNpu7\\\n",
       "ZRyGQiG89NJLi74mGo0uuj/NLtG/e9tnMarVKosjAEtmJkZdYVLP2aVSKRYM5KRJgoMMWCgzsFKp\\\n",
       "sHCgqhFVzuh4VFHTarWw2+0cFdFpJqMWQ9Su6PF42PSEjk8Vq05HTXXEApm1UBVRnavYGdhutVph\\\n",
       "MBg4+iGXyyEej8NoNMJgMKBcLrMhDrXGKorCArZYLKJUKqHVaiGbzSKdTiOTybALaywW4zB4agUl\\\n",
       "d9VOh1V6jsQeAG6fVV8v7U/70fsD7PpSvtj8K4kQtRhUiw317yRS1YJQnWuobkG1Wq1wOp0SObEE\\\n",
       "oc/E/fffj6uvvhrPPfccZmZmDvKqBEE4lBBBKAhHKOeffz5uuOGGg72M140bb7wR1157bdu2a665\\\n",
       "5iCt5o2DqkJkvFIqlRCPx1Gv15FKpWAwGHZrmSQRR4YqJAiptZBaSQuFArLZbJsYpDk0EnQAOHew\\\n",
       "VquhWCyi0WiwQ2d/fz8GBwfb5gGbzSZsNhs8Hg8cDgeq1WqbAYuiKCw8fT4frFYrCoVCW1ag2unU\\\n",
       "YrHA6XRy1Y7McwwGA3K5HOx2O5+XhBo5i6ZSKUSjURa/er2ej53JZGA2mxGLxbB582bEYjFuqyuX\\\n",
       "y0in08jn82x8Q06l5XIZpVKJ97XZbBxn0Wq1+Fop8oH2r9VqfI9JONP7u5joo/dSvV29v1o803V1\\\n",
       "BtiTY6nX6+X3Tdh3DvXK32JoNBoMDAzsZji2YcMGPPLIIwdpVYIgHMqIIBSEI5Rnn30Wxx577Gs6\\\n",
       "ht/vh06nQywWa9sei8UQDocXfU04HN7r/vRvLBZDV1dX2z7HHHPMHtdy5ZVXtrWi5nI5/OAHP9iv\\\n",
       "6zkc6Qwwr9frKBQKXCVTh5zTvJs6kF4dwk6VO61Wi1wuh0wmw2HwJCparRYMBgObk1SrVW7hpJB3\\\n",
       "g8EAn88Hg8GAoaEhhEIhruDRccj9sru7G4VCAT6fjwUmrZVmBN1uN8dD0DFI1FF7qclk4rWTCUws\\\n",
       "FkO9XofT6YTJZGqrMtbrdeTzeY6RyGazPPdHrqPj4+M8K5hKpZDL5Vi0lctlzM/PY3x8HMViEYqi\\\n",
       "8P0kY51yuYxWq8XCkAxn1EY5FH2hNsvxeDxcHSVxp54LVP+r/gyohR5towoktQt3VgnpjwBOp5NF\\\n",
       "uLBvHM4toyeccAIA4J/+6Z/wr//6rwB2/W8vfZYFQRDUiCAUhMOcznk9YJe4+tWvfoWzzz677flv\\\n",
       "fetb+3Vso9GIdevW4b777sO5554LYFcb3H333YdPfepTi77mpJNOwn333YfLLruMt91777046aST\\\n",
       "AACDg4MIh8O47777WADmcjk8/vjjuOSSS/a4FpPJtCQNMdSthfRln6pC9Xq9zailUxCSoCIxaDKZ\\\n",
       "YDabodFouNJFFTV6PWXt2Ww2AGChRuKl2WzC4/GweKOsPfX6NBoNzGYzR03kcjn09PTAZrNx9RIA\\\n",
       "zGYz/H4/QqEQt29SBUtdJaT7QJmBJPgKhQKAXe3EJAhpjbVajecnqQpKx6NKJ5nSkHhWV9gqlQqm\\\n",
       "p6fx5z//GX6/vy1KgtpcqUJHFVg6L7l+tlotFItFNrVJp9PQ6/Xo7e2FzWaD3W7frf2T1kgtu+rs\\\n",
       "yU6B0tnGqp4jVO9LBjbkxirsG4ezIFy2bBkA4Jvf/CbK5TL+7d/+DW9/+9t5llsQBEGNCEJBOMx5\\\n",
       "+umnF92+fv16LCwsYGFhAcCr/8Jy+eWX48ILL8Txxx+PDRs24KabbkKxWGTX0Q996EPo7u7GjTfe\\\n",
       "CAC49NJLcdppp+Gb3/wmzj77bPz85z/HX/7yF9x22228jssuuww33HADRkdHOXYiEomw6BRehjLw\\\n",
       "6Iu/+gu/eoYMeHlmDWivJhmNRtjtdrjdblitVhY/dDyqJJlMJjidTni9XlgsFlSrVSwsLCAej7dl\\\n",
       "3AUCARiNRq4+5nI5WCwWtFotduTU6/Xw+XwYGRlBuVyG2+2GzWZrM1AxmUzw+Xzo6upCPB5HsVjk\\\n",
       "QPZqtcrVOqo6mkwmjo1QV0vJMIeOS62ahUIB+XyeW2Lp3qhRi20ya6F220QigUcffZQrk2azGT6f\\\n",
       "D93d3QgEAjCZTHwvs9ksMpkMkskkz1RqtVoUi0XMzc1hx44dmJ+fh0ajQTKZhN1uh8vl4jlLcogl\\\n",
       "4Upzf1R5Vc8mqtdOQrRzhpBQi0KaJxT2jcNZEN5222047rjjAAA7duwAAAwPDx/MJQmCcAgjglAQ\\\n",
       "DnMeeOCBA3r8v/3bv0U8HscXv/hFRKNRHHPMMbjnnnvYFGZqaqptzunkk0/GnXfeiauuugpf+MIX\\\n",
       "MDo6io0bN3IGIQBcccUVKBaL+NjHPoZMJoNTTjkF99xzz6uab3qlL2KXXHIJfve73+33cQ8V1q1b\\\n",
       "x3EPZKhCwkZdXeqMI6C4AgqYD4VC8Pl80Gq1HBZPx6D9vF4vIpEI70fOnY1GAw6HA319fXA4HLDb\\\n",
       "7VAUBQsLC5ifn0epVEI+n0cgEIDD4eDWUKvVikAgwLNrJpOJPyskVJ1OJ4LBIHw+Hwetk+hTZ/yZ\\\n",
       "zWbY7XZueaSqXrVaZSFED/VzdM86789i/xJUYS2Xy5ibm+NtRqMR2WwWWq0WNpsNOp2OZw2LxSLH\\\n",
       "bfj9fo7rIEfUrVu3Ym5uDs1mE7FYDBaLBR6PhyuB1WoV6XQa8XgchUIBRqMRgUAAwWCQ72mnwQ+J\\\n",
       "+j2Jwc5r0ul00i64HxyugtButyMWi+G9730vAOAPf/gDAODf//3fD+ayBEE4hBFBKAjCK/KpT31q\\\n",
       "jy2if/rTn3bbdt555+G8887b4/E0Gg2uu+46XHfdda/XEo9YTjrpJK6EkRFMuVzmFkG1k6VaHJAL\\\n",
       "qNvtRiQSQW9vL9xuN8dKmM1mNj8xGAzw+/0YHR3FwMAAbDYbSqUSUqkUMpkMm9l4PB6u1mk0GqTT\\\n",
       "aczMzEBRFA6n7+npgd/vh9VqZaHZaDR49q9er3MLI1UJqSpJAfbkcqoWvna7nWMTtFotCoUCSqUS\\\n",
       "x0x0RluoBVNn1XRPgrAz+48qhXTser0Oo9GIcrkMjUbDRi6JRAILCws8X+lyueD3+2G321GtVjEz\\\n",
       "M4OpqSmkUimef6QK4HHHHQeHw4FyuYxYLIbp6WlkMhkYDAb09PSgXq+ju7sbdrud7xvNclIVtfMP\\\n",
       "Aupr6kT9xxth7xyugjCfzyMcDiOVSuG2227Dhz/84bY/AAmCIHQiglAQDkPe8Y534Etf+hJOPPHE\\\n",
       "ve6Xz+dxyy23wG6345Of/OQbtDrh9WTNmjVoNpsolUpsBJPP5zlqQi0I1SJAXfXr7u5GOByG2Wxm\\\n",
       "Exm3281iwuPxYOXKlVizZg3cbjfS6TQSiQSSySSy2SwfO5fLIZ/PQ1EUJBIJTE1NYXx8nOftotEo\\\n",
       "RkdHMTw8zEYz5PZJbZA2m41dNiniwWw2IxAIwGq1spgi91QSdkajEX6/n9tI6Z6QA6raUGWx3ENi\\\n",
       "X6poaodVynNUG90YDAaOcKD5xGQyiWKxCABIJpNYWFjg60+n00in0xx7Ua/XsWXLFgBAPB5Hd3c3\\\n",
       "FEVBJpPhCqFer0e9XofZbGaTGpPJxCKVYjTUbbXqx56uT1gaqCN83vGOd+Doo49GvV7n9lFBEAQ1\\\n",
       "IggF4TDkvPPOw1//9V/D5XLhXe96F44//nhEIhGYzWak02ls3rwZDz/8MH73u9/h7LPPxje+8Y2D\\\n",
       "vWThVeJyuaAoCux2OxwOB4sQEnYA2kxjjEYjG7BQFcrlcrHLJDmE+v1+ALtmy4aHh7FhwwYMDAzw\\\n",
       "PFw6nUYymUSpVOIqYjKZxPT0NAwGA6ampjAxMYFoNIparcbtpeVymaMWnE4n6vU60uk0crkcNBoN\\\n",
       "B6TbbDa0Wi0WP4FAAH6/v61aSJVQcjm1Wq3w+/1s+pLNZtnYhYx2FhNG6gqg+t/O7eoWW4fDgWaz\\\n",
       "iYWFhbYAeJ1Ox9VKl8uFTCYDYNfMY6lUYqFaLBZhNpuh1Wrb2lZJuKbTabz00ksoFovo7e3l95ky\\\n",
       "JMmQhkQ4ictWq4VSqcQVUqpaqltJyVVW7UYqYnD/OVwrhJ0s5vwsCIKgRgShIByGXHzxxbjgggtw\\\n",
       "991346677sJtt92GbDYLYNcXk1WrVuHMM8/Ek08+iZUrVx7k1QqvhWq1yj+T8QsZzVDLp9lshs1m\\\n",
       "43ZLddi7OpxcURSYTCY4HA4EAgHo9XpYrVaMjIygp6cHDocDqVQKqVQKCwsLSKfTXNmrVCqIx+Oc\\\n",
       "Rzg/P49oNIpischVL5pd1Gg0KJVKsNlsyOfzmJ+fRzKZRKvVgtPpRDgcRjAYhNPpZFMVimKwWq1s\\\n",
       "1lIsFjlYvlQqQVEUWCwWuFwudhClGcPF5iiJznlJdY6f2hmVKn9DQ0OIRCLckknuoSQIKRfR7Xaz\\\n",
       "AQ8ANBoN1Ot1NrZptVo8N6nX69lwh9pPc7kcG82QOym181JlUKfT7eZkWiwW2+JCALRlHtL1kxnN\\\n",
       "oSxWDmWOFEEoCILwSoggFITDFJPJhAsuuAAXXHABACCbzaJcLnM+nHBkEI1G2wQFzcOREKLMP6fT\\\n",
       "CY/HA6fTCavVyvNmVD2j6hKZo7hcLjZHcTgcAIBCoYDZ2Vns3LkTsVgM+XyevxRXq1WkUikkk0nk\\\n",
       "83lkMhmuiJHIqtVqKBQKLBSpEkbtlCRIx8bG4PP5EAqF0NXVha6uLg621+l0bKCTy+X4c02tmgaD\\\n",
       "gQ1m6DoX+zK+WNA7VU0NBgM0Gg3q9Tq7hFJ1MBwOY+3atRgdHUWlUkEikWAxps45BMCmOG63m/+b\\\n",
       "o+doVs9kMrEwI/GpPpY6aoKyCU0mE2w2G7xeLxwOB3Q6HcdwULtouVxGs9lkwUcCs1QqwWw2w+l0\\\n",
       "wuFwwGw2t0WTCPuOCEJBEJYKIggF4QjB5XLB5XId7GUIrzNbtmzh/Dir1cpVQbXwoHZREhTqnDx1\\\n",
       "bh89ms1mW4wDxUtUKhW88MILGB8fRzabRbVaZRFFgqRSqfAMY6PRaMvHo3UVCgVuaVTHPgC7hCwJ\\\n",
       "Spqro8onCUsKik8mk9wuqs5HpHk6MsbR6XQswKjap/6CThVSu90Or9cLj8cDjUaDVCrFcRcajQY2\\\n",
       "mw29vb1YtWoVRkdH0Ww2MT4+jmQyyQKMWmDT6TQ8Hg8b99jtdiSTSa7akfD2eDxwOBxshkPCmQx1\\\n",
       "qBJotVpZ2DscDrhcLng8HhabVH0slUp87+l4iqKgXC7z/dJqtejq6kJ/fz+8Xi9MJpM4jL4KRBAK\\\n",
       "grBUEEEoCIJwCPPQQw9xG6Hb7Ybf7+c8QaPR2CbuLBYLh7tTJYsEXKFQ4Jm0hYUFzM3NsWkJmcIs\\\n",
       "LCxgx44dmJub4xZNAFyZonZFMrRRFIUrVAaDgUVdpVLhOTcylFEfi1wyad6QhI7b7Uaz2UQ2m0Us\\\n",
       "FmOBZTQa4fV6EQwGOaxdXfFTx1no9XqeowTArqg+nw8rV67EunXr0N/fDwAYGxvDww8/jBdffJGr\\\n",
       "6/39/RgaGkJvby/0ej1OPfVURKNRZDIZrsCNjY3hmWeegUajgdVqhdvtRjAYRCKRaBPcdrsd3d3d\\\n",
       "iEQiqNfr8Pv9mJubQz6fR6vV4vfU5XJxm6jb7UY4HIbf74fD4eAIjkKhgHQ6jXw+j0ajAb1ez2Yz\\\n",
       "wC4DqYmJCezYsQOlUgm9vb3YsGEDjjrqKLhcLmg0GjQaDdRqNQwODr7RH+PDkgMtCL/0pS/h2muv\\\n",
       "bdt22mmnLercLAiCcCARQSgIgnAIQ5mBBoNhN2dRo9HIM3bZbJYrd9VqlU1I8vk80uk0C5p4PI5o\\\n",
       "NIq5uTlu4bRYLFAUBalUilskqfpHbY1UIaT2U+DlmTwSZp2xCCSOOp0vaY6uVqshn88jHo/DaDSi\\\n",
       "UCiwqU0ikUAul2MXUopzUBuntFotnumzWCw8A0jziLQOnU6HSCSCY489FsceeyxCoRC0Wi0CgQAb\\\n",
       "uczOzsJms3F7J7WmRiIRRCIRmEwmvrZMJoOpqSmEw2H09PTAarXC6/XCbrdztdFoNHJrq8fjAQA+\\\n",
       "biaTQb1eb3MOJQHtdDr53pPYK5fLSCQSmJubQzab5RgOt9vNc42lUgnZbBapVArFYhFGoxHRaBQ+\\\n",
       "n4+rtHNzc4hGo7jsssvewE+wsBh33XUXi8E3velNWLduHX73u99hxYoVB3llgiAsRUQQCoIgHMJQ\\\n",
       "eyGJH4ob0Ov1nElI4sJmsyEcDqO3txd+vx96vR7FYhGJRIJbMGOxGOLxONLpNBuPkEtluVxGsVjk\\\n",
       "6h8AdvFUCzEA7GJJwocEGbWlqoUjsLvDJ/CyEQqFvedyOSiKgmKxyLOD9BoSl2pTFporJAdWh8OB\\\n",
       "vr4+hMNhmEwmFAoFpFIpNBoNdHV1cUaiy+VicXb00UdjYWGB16uOsaCgeZ/Px4Kw2WyiUqkgk8mg\\\n",
       "UChAo9HA5XIhGAzC4/Egn89zlZYiNmiOj+4fmeaQ0C6XyyiXyxwjQfetUqlwa+v4+DimpqaQy+Wg\\\n",
       "1+vh8XgQDocRCoVgsVj4PVNHewBAKpXC7Owstm7dimeffRYzMzP47Gc/e4A/tQees846Cxs2bDig\\\n",
       "5ziQFcK/+7u/A9BufnTzzTfv1zEEQRBeL0QQCoIgHMKoXTPVP1NFKZPJoFgscpvi1NQU5ufn0dfX\\\n",
       "B4fDgVqtxsHpJAxzuRyLLa1Wy6YjJFCoqkd5f1SxUofe01weOW7a7XYAaBNuwO7OnuprAna1kFJ+\\\n",
       "H0Vc1Go1blGl1+p0urZ1khkMtWb29fUhGAxi2bJlCAQC0Ol0yGQyiEajyOVycLlc3Garbjvt7u7G\\\n",
       "qlWrEI/HEY/HUSqVkEqlUCqVuBXVZrNxhAStnwxd7HY7zGYzuru7MTs7yzN+NpsNwWCQXUhJ0JM4\\\n",
       "pAopCctisYhkMolkMol4PI65uTn4/X5oNBokk0lMTk4iGo2iXC5Dr9fD6XQilUqhUqmgq6sLWq0W\\\n",
       "LpcLfX190Ov1LBYBYG5uDs899xxefPFFpNPpA/dhPcI4kIKQDJ7Ur7PZbCgUCvt1HEEQhNcDEYSC\\\n",
       "cJhz4YUX4uKLL8ab3/zmg70U4QChFmAkKKrVKjt4qh0n6edWqwWv14tms4l4PI5YLIZUKoVCocBZ\\\n",
       "d3RcqvqpRaf6yypVy0gQUpsotUpSqHy5XOagdBKa6rZSEnSNRoNFJ0U0kFGK2hGTHEHJCdVut3Pr\\\n",
       "LFXYDAYDvF4vhoeHEYlEMDw8DKfTiVarxa2wdCy1oKW1uVwu9Pf3o7e3F6VSiQ12kskkjEYjarUa\\\n",
       "t6UaDAa+z2Ry43A4YLVa0dXVhaGhIWg0Gs5gHBoaQnd3N8xmM5u9GI1GWK1WWCwWFvH5fJ5FaDqd\\\n",
       "RiKRwPT0NGw2GzQaTZvwp2pwMplELpfjLMquri4EAgGEQiE4HA7OeszlcgDA1Ud6r4VX5tUIwiee\\\n",
       "eKJt+9DQEFatWrXoa+i/pTPOOAOPPPIIisUiXC4XRwgJgiC8UYggFITDnGw2izPOOAP9/f348Ic/\\\n",
       "jAsvvBDd3d0He1nC6wyJCXIQJSdPEkdkIkMtjxQ/QFWoTCaDfD7P7ZDAy0JT7Vap1Wr5X3rQsekL\\\n",
       "MrmeBgIBDAwMoKenB2azmatP1PZIIpBiENRzjdRaSddGTqHq1+h0OthsNvj9fnR3d3N2otqohgxn\\\n",
       "ent7EYlEEAwGYTab+RpphpIiMarVapuwNRqN8Pl86OnpQTQa5QphLBaD0WhEtVqFoijchklupFQV\\\n",
       "pZZbj8eDZcuWwe/3Q1EUOJ1OBINB2O12rnRWKhWec6Tqn9vtRrVaRS6XQ7FYbIvcoHtPs5DU1qrR\\\n",
       "aDgPkrIZHQ4Hent74fF4OH6ExDVFY7hcLiiKgkwm88Z/gA9DXo0gvP7669u2U47knlALdGqbFgRB\\\n",
       "eKMRQSgIhzkbN25EPB7HT37yE9xxxx245pprcMYZZ+Diiy/Ge97zHskkPEIgIUbGLdTK2RmurhZ5\\\n",
       "tJ86b08thkiIUbVM3cpJ56IKIs0FAmCHS3LE7OnpgclkgtFoRC6XQy6X4/1NJhPcbjdCoRBcLhfq\\\n",
       "9Tri8TjPN1L1kcSg2qCGcv78fj98Ph9X/ujaaJ3qXEJaR6PRYIOYVquFarXKFUB1dZJEoc1mg8Vi\\\n",
       "YVMemtWkL+zkAkruoOqsRwAsCilL0W63w+l0cpWxWCxyldHlcsHn83HraCAQwNzcHFf8SOySEFeb\\\n",
       "+dB2MsOh6iGtld43EthkXEOiUFEUTE9PH/DP65HAqxGEV199ddts49DQ0D6fz2KxoFQq7d8iBUEQ\\\n",
       "XgdEEArCEUAgEMDll1+Oyy+/HJs2bcKPfvQj/P3f/z3sdjsuuOACfOITn8Do6OjBXqbwKlBX5Ugo\\\n",
       "kbEJGasAL2ftWa1Wrl7p9Xo2LVG7ftL+JpOJ5+rUc35ms5lbNAEgl8txZqCiKLBareju7saaNWtw\\\n",
       "7LHHoq+vDwaDAalUCm63GxaLBfPz82g2m/B6vRgaGsLo6ChcLhcqlQqmpqYwMTGBeDzOraIkDEkI\\\n",
       "0mxiMBhEd3c3/H4/zGYzVxdpvSSwvF4vzwmSIKLMRjLW0Wg0iEQi8Hq9/BzdB5fLBbvdztEOsViM\\\n",
       "cwJ1Oh0CgQC7dTqdTnR1dcFkMrFQs1qtcLlcPKNIDzLrUbutBoNBBINBrk4aDAa+9tnZWa7kqnMj\\\n",
       "SQwCaKsGZ7NZzM3NIRgMwu1287wjzUhSVbK/vx9msxmlUgkvvPDCwfkwLwE2bNiAc84551W9luZ6\\\n",
       "BUEQ3mhEEArCEcT8/Dzuvfde3HvvvdDpdHjnO9+J559/HqtWrcLXv/71I8JdcKlBVTwSOVQtIiEF\\\n",
       "gMUEtWZSVqG6hZTEo3qmzmazsYigaqDFYkEgEGC3TgCIxWIYGxvD/Pw8Go0G3G43RkZGcNxxx2HF\\\n",
       "ihXsaEotkjabDVNTU1AUBd3d3RgdHeXohnK5zLNuiUSC2yTVra9kFBMIBNDT04NIJAKHwwGtVstz\\\n",
       "kLOzs8jlclwdVFcI1bOL1WoV8Xgc09PTyOfz8Pv9CIfDsFqt3JJJgrvVarHTKt3vcDgMs9mMnp4e\\\n",
       "biF1OBzo7u6G0+nkiia5nJKAVM9f0jroZ3p/qDKpjqh48cUXMT09jXQ6jWKxCK1Wy6KTHiQQyaU1\\\n",
       "nU7zzGGj0UA6nYbNZoNOp2NRGYlE0NvbC6PRiB/+8IcH7fN8OHEgTWVOPfVUPPTQQzAYDPjwhz+M\\\n",
       "X/ziF1AUhSNKBEEQ3khEEArCYU69Xsf//M//4Ec/+hH+8Ic/YO3atbjsssvwd3/3d3A6nQCAX/7y\\\n",
       "l/jIRz4igvAwxGg0trWKkosltQiqBQ1VCMn5kmYM1fNnANoEIVXWqDLn8XjQ39+P0dFRhMNh6HQ6\\\n",
       "pNNpRCIRTE5OsmHK4OAg+vv74fV6OUDdbDbzF2OPxwOtVouuri6Ew2HY7XbO5yNh5PF4UKvVUKvV\\\n",
       "dotdsNlsCIVC6O3tRTAYhMVigUajgcViQa1WQywW47w9u90Oi8UCk8nEbaJ0XwqFAqLRKGZnZ5FM\\\n",
       "JnnWTj1jR1XUXC6HZDLJIhoAHzsSicDj8XCFlGbynE4nP6xWKwwGAwtNRVG4+qme/yThSvOHJCpN\\\n",
       "JhNsNhvsdjump6eRyWRYKNMcYaVSYXFJorBcLiOVSrHopTWQUKX7SIYzwr5xIAXhgw8+iL6+PkxP\\\n",
       "T+P73/8+gF0uo6n/v707D5KzPu8E/u37vnt6ek7N6EICIxQDAtmV3ayhos3aEGzWdrkScBKvY2/A\\\n",
       "2ZhUCruymGS9G7Kxyyb2YlOV+KhykdhLKk4C9nrLKxxMYjABQQzWAYw0h2amu2f6vs93/1A9D2+3\\\n",
       "JCQBkkb091M1hTTTx9s942S+en7P8+Ry53ydRERvFAMh0SVubGwMvV4PH/rQh/D0009j9+7dJ93m\\\n",
       "3/27f4dwOHzBr43eOL/fr/110gdXq9V04qT01EmvmezIk8pRJpNBtVrVvjQAWgmMRCIYHR3VY54y\\\n",
       "nXJqagqTk5OIRCLaDyc7DqV6JvcBXp1CCgAOhwORSEQnaQaDQbjdbgDQ3rxWqwWHw4F4PN4XoMyh\\\n",
       "RyaAyt5AWfsgRyLl6GulUtGwONgX2ev1kE6nsbi4iJWVFQAndvvJccotW7bA6XTqtFY5ElqtVlGv\\\n",
       "19Hr9XTgTDAYRDQa1QmjMvk0GAwiEAhof6C8D+Z+P/OAHumTNPdoShiX3YWRSAQLCwsol8saKIvF\\\n",
       "IhYXF7G4uNi3J1KOjzabTV0vUqlU9Kjo+Pg49u7diyuvvBITExMMhOfoXIPeuVhcXDxvj01EdC4Y\\\n",
       "CIkucV/84hfx/ve/X3/pPpVwOIxjx45dwKuiN4ssGAeggU+mbErokEpRo9FAPp/XCZ/ValUHlZir\\\n",
       "g+aKovQRSuAZGRlBMBjU/jfzEBqXy6Xhr9vtajiUdRHyuVqtplUvi8WiQTCXy+nETxkY43K5tHIG\\\n",
       "QKuFzWZTq6PmkCcBdXR0FPF4XENyuVzWYS/yXtXrde3Hk+Oo2WwWR44cwfj4OJxOJ8LhMKrVKgzD\\\n",
       "gN/vRygU0vdI+v/MOwnltcu0T+kVlHAn9zMP6ZFKoayMkO+FkFDodrsRCoUwMjKix32l2pnNZtHr\\\n",
       "9ZDNZlEsFnWwjlSFfT4fHA4HKpUKyuWy7isMBAIwDAMul0urknR2zmeFkIhoI2EgJLrE3XbbbRf7\\\n",
       "Eug8ksmQsjZBKkbmChTw6rJ2WedgsVjQbrd1zYR5gqiEFfM6A9m1J0ckZbqoTMgsFovI5/NoNps6\\\n",
       "2Kbb7eoy+U6no9VLm82mfYXdbhflchnz8/OYn59HuVyG1+tFMpmE0+lEKBTSyaASOiUEmgOpXLeE\\\n",
       "MBmGU6/Xsbq6ioWFBTSbTV2JIdfd6/U0sEn/ZS6Xw/z8POLxuO5j9Hg8mJqagtVq7XudMs1TjpBK\\\n",
       "H6cM35Eq7eD0UwkI8j7X63X9/sl7bg5nEtKdTicCgYB+z5xOpwa69fV1hEIh5PN5DemhUEj7LK1W\\\n",
       "K1ZWVvrCqMPhgMfj0fdXrulS98gjj+DAgQPn9TkYCIloWDAQEhFtYDMzM+h0OiiVSuj1ejrp0xwG\\\n",
       "pVplXlMgi+TNvYNCQopU7SQ0yNoC6a2Tyl4qlcLS0hLW1tbQ7XYRDAYRi8W0ny+fz2NtbU2DVCAQ\\\n",
       "wJYtW9BoNGC1WrG0tITnn39eB82MjIyg0+kgEAhoX575WKWEwcHVGkJ++ZbnbrfbsFgsWFtbQ7PZ\\\n",
       "RCKR0EEu4XAY4+PjuptRegzr9ToKhYL2/pl7CwuFAiqVCtrtth5VlSqshF95POljlPffvMJDKoNy\\\n",
       "jHdtbU2PhUpFbzB0SKCVI7ASQFutFqLRKBKJBGq1GhqNBgKBAGZnZ7Fjxw7EYjGt2Eood7lcGB8f\\\n",
       "x+joKFwuV9/PDJ0ZAyERDQsGQiKiDeyqq65Co9FAOp3Walu1WtWvm48lmj/MocT8y6oca5RAmM/n\\\n",
       "ddCJee9er9dDtVrF8ePH8fOf/xyHDx9GNpuF0+nE5OSkBp9yuYyjR49ibm4O2WwW7XYbPp9P+/Ks\\\n",
       "Vivm5ubw0ksv6XM1Gg24XC5EIhHEYjGdiGm1WrWq2Wg00Ov14PF4Tgq0vV5Pr79QKKBUKmkPnXxN\\\n",
       "VkvMzs6i0WjA6/VqoA2FQvD5fBo8pTInUz/D4bAO5On1enqs1TzBVI7CFgoFtNtteL1eeL1euN1u\\\n",
       "DXryHmazWSwvL2NlZUWPwcpjyZoM+T5JhVD6Inu9HhqNBtxuN8LhMKanp7VfcWZmBpdffrlOcC0W\\\n",
       "i/D7/XA6nUin0/D5fNi1axempqb6Ho+IiMiMgZCIaAPbsWMHms0mgsEgarUaMpkMisViX8gbrPpI\\\n",
       "xdBc4TD/XcJiq9VCrVZDqVRCsVjUqph5SMnBgwfx9NNP49ixY6jVahospqamdDhLuVxGJpPRCZ0u\\\n",
       "lwvNZhPFYhEOhwPpdBrZbFZ7C+12O1ZXVxGLxRCPx+H1ejWoyNHKer0Oh8Ohk3LNr1VCX7PZ1Img\\\n",
       "spuwUCig0WjAZrNp9c/r9eqglkqlAqfTiXg8risfpN8RgPZVejwenebpcDhOCnpyHVL5kyOgspDe\\\n",
       "6/XCMAyUy2UsLi5ibm4Oq6urWrmU+ycSCV2BAUB7K+VYsCyqdzqdiEaj2Lp1KzZv3oxYLIaZmZm+\\\n",
       "FRr1eh2BQADRaBTpdBputxubNm3S1RkANPDTmbFCSETDgoGQiGgDk9UM7XYbIyMjuuLhdL+Amvvt\\\n",
       "5L+DH+bhJ9LfJsNgZA1Eu93G4uIifv7zn2v1T44ulstlXVEhjye7BNvttg5wkYXt5imnsiYhn89j\\\n",
       "dXUVyWQSgUBAw50c1wSAaDTaV9EyD9Dpdruw2+16bFUGqwSDQV0H4ff7YRiGVvdkrL9hGLoqwu12\\\n",
       "ayiU/kSZ+CnXbB4cI8dAZWhNsVjE8ePHdaG81WrVI7WyFzCbzeL48ePIZrNa5S2Xy6hUKrjssssw\\\n",
       "NjamuyDlueS4r+xldLlciMViiEQi8Hg8iEajiEajej8A2otpfp1SbZRjrzwyevYYCIloWDAQEhFt\\\n",
       "YPJLvM1mg9vt1uOC5gEmpzI4iMW8lkHuKz16jUZDp1NWq1VUKhWUSiUcPXoU8/PzKBaLWtXqdDoA\\\n",
       "Tgy7GRkZgcvl0iqePJ5UwRqNhh6RdDgcel8ZRpPL5bC2tqZHNEulEtLpNGq1mlbvpKIlYdDcyxcO\\\n",
       "h3XHYSQS0R2KEpylKiZHZLvdLrxeL9rttq7ZkIEr5kE25vcdgF6/TPyUwTAyEXVlZQUHDx5EJpPR\\\n",
       "Cap+vx/RaFT3L5p3QlarVQ2EEp4nJibg9/v7qpDmSq/b7Ybb7dapsD6fT6ezyvfTPDTGYrGgXq/D\\\n",
       "YrGg1Wr1fZ3ODgMhEQ0LBkIiog2sWCyi3W6jVqvpOgkJAVL1OVO1EOifemmuPknwKBQKyGQySKfT\\\n",
       "MAwDa2trmJubw/r6OprNZl+lzm63ayVOjmaal7GbexclxErAkueVIFoul5HP57XXbmVlBc1mE5FI\\\n",
       "BMlkUqtx5vvJ+oZYLIYtW7Zoz2AwGMTExITuLZSKngS0drsNu92Odrutg3ROF7DN1Ujzqg75s7zv\\\n",
       "zWYTuVwO6+vryGazOkjH7XajXC73rfGQqqNUQpeWlrRnMRAIwOVy9VV/5RoA6NoI6VM0VzXNU0XN\\\n",
       "lV9ZOSJ7DqUyPDMz86b9fL6VMRAS0bBgICQi2sBkEEqtVkOn09H+NofDodUz8y+uEsbMFS7zf+W2\\\n",
       "5mqeVO6Wl5fh8/mwtraGTCaDpaWlvuOe8hzmBetyvHIwUMnAlHg8DqfTqccgZecfAO2Rk72K1WoV\\\n",
       "jUajb/G6hNd2u63BsNVqwWq1IhqNaiiSvr1oNKrXI9crQ2N8Pp++dvmcVP5O9d7JKg0AfdVZua0c\\\n",
       "G5Xjts1mU8OqTAcFAI/Ho4vsPR4PyuWyrpWQXYm1Wg3tdhtOp1Nft3yPzBViqRJKOJXbyvskx1hX\\\n",
       "V1exuLiIQqGgx17lHxLe8Y53vHk/oG9hDIRENCwYCImINrByuaxDXmSnniwYl+BkPhYq4UAMLkmX\\\n",
       "zw3+udls6nCYRqOBbDare/NONbTGvAdx8OtyPFWOk0qfn1SsJIgOXpcETYvF0rebUHoPAejRTwA6\\\n",
       "kdNqtcLv9+v7cqp9e/LYTqdTdwaaQ5K5WiphTI53yt/NoVfCmuyFHHztEgqdTqcGQnM1t9Vq6XFV\\\n",
       "uVbzh/k6er2eBkB5305V8ZXdizLoJpVKIZ/P655Jc0gmIiISDIRERBvY4uIiAGhly+/3Y2RkBM1m\\\n",
       "ExaLBY1GQ/f4Aa8GlcHF9WKwaigDWgzDwPr6uk4JrVarKJVKOnXUfD85wiqDZMxVRAAaBuPxODZv\\\n",
       "3qwDXCTM1et1DXwSyFwuF0KhkL7WsbExxGIx7QOUCmGj0dDpn263G16vV49jSuAz72Q0H7u02+1w\\\n",
       "u919O/7M70Gr1errDSwWi1hZWUGv10MoFEIikUAwGITNZtPjrrLA3uv1aoXQ4XDA5/MhGo1qb6Pc\\\n",
       "LxKJoFqtaq/h6OgoQqGQHm+V0NjtdnWSqnkFx6m+f61WC5VKBevr61heXsb8/DyOHTuG1dVVnboq\\\n",
       "wZJDZc4eK4RENCwYCImINrC5uTk9LhgIBODz+TAxMaEVr3w+r4NJzOFHnG49hdxOqortdhsAtJok\\\n",
       "00IlLJp1u10dQlMoFE7qM5TewbGxMWzbtg2RSAThcFinkBYKBdhsNp3+Kf18brcbfr8fbrcbiUQC\\\n",
       "IyMjuqS92WyiUqnoagyZMGp+DAl5ElrNoViClhwRlaqg7D0sl8soFosoFov653w+j1QqpQNs8vk8\\\n",
       "RkZG4HQ60el0UC6XYRgG4vE4Op0OotGorp+QZffhcFjDr3wPI5EIAPTtYvR4PH0BVUJePp9HrVaD\\\n",
       "1+vVx5CpooZhoNFoIJ/PY35+HocOHcLRo0extraGUqmk75eEd/mHAjo7DIRENCwYCImINrDjx4/D\\\n",
       "ZrPB5/PBMAyMj48jEoloP1yn00GxWNTwJr/wm48Hmo86nupIqXxeet4kOAxWlMzTSmUwSiqVQiaT\\\n",
       "6QuEVqsVHo8HyWQS4+PjCIfDcLvdKJVKqFarOgzHPCXT6XTC5XLBarVqL6Df74fdbke320W1WkUm\\\n",
       "k0Eul0O320U4HNYQ6Xa7TwpTjUYDrVZLj4dK9VCqkrKHsVKpYG1tDcePH8fS0hJSqRQKhUJfT6Dd\\\n",
       "bke5XNbwJc8nw2O2bNmCLVu29B3fbLfbfb2Q8t7K9UpPogznkcql3FeqkysrK6jVagiFQvo+2Ww2\\\n",
       "2O12dDodFAoFvPTSS3jyySfxwgsvaM+pORg3Gg1dKcJAePYYCIloWDAQEhFtYLlcTvf8eTweTE5O\\\n",
       "YmRkBKFQSHv9SqWSHnuUSpgMfTEPTZE+M3NFUQyupjD3I5qPgkr1CzjR35hOp5HP5/vCjwTCcDgM\\\n",
       "v9+v/XPJZFKXuNfr9ZOWpcvRT6/Xq+FQVjysra1hYWEB6XRaK2QjIyMa9ABopbNYLCKbzaJYLOqq\\\n",
       "iVAohEgkokdKe70e6vU6MpkMjhw5gp///Oc4duyYVjuBV5fEy8oMWb8hg33C4TASiQRGR0cRiUT0\\\n",
       "9cjE1HQ6jVwup+G03W7DZrMhEAggFArB5/Pp1FAZQiPXv7CwgCNHjmB5eRndbhcjIyP6HlksFjid\\\n",
       "TtTrdSwsLOBf/uVf8PTTT+P48eN6FFWmlsrrNPcc0tlhICSiYcFASES0gVWrVe0pK5VK6HQ6CAQC\\\n",
       "cDgcKBaLmJub04qbOVh5vV49juj1etHtdvV4Z7FY1DUWAHSlgtPp1KOJ7Xa7byIoAO2Vi0QicDgc\\\n",
       "qNfryGazqFarfRNPzWsOZPBKr9fTI5LlcllDqjyPhCObzabVLemfk+Xv8/PzWFtb04AnVTcJt+12\\\n",
       "G+VyGSsrKzh27BgymQy63S4ikQhmZma0Kid7EmX1w6FDh3D48GGkUinUajVdZh8IBDA1NaX9f+b+\\\n",
       "TDkWG41GMTY2hng8DrfbDcMwUKvV4HQ60Wq1tDIn76OENanySsCTSl42m8X8/DxeeOEFvPLKK8jl\\\n",
       "crDZbLpoXtZmuFwulEolHDx4EIcOHUImk0G9Xtfvk9/v175NeY/ME2XpzBgIiWhYMBASEW1gMjwG\\\n",
       "gC4ylwEso6OjCAaDffvopDo3Pj6OK664Atu3b0ckEkGz2cTx48dx8OBBzM3NIZ1O900plWqY9O1V\\\n",
       "KhUNVBImXC6XLqR3Op3a19dut/sGtcgxUJla2mw2Ndw5HA7dCVir1XSKqhyHdLvdeuzTXB1cWVlB\\\n",
       "JpNBoVDQHXuy7F0CVbPZRCqVwtGjR/HSSy8hnU6j1+shkUjotbvdbjgcDlQqFaTTaT0mWi6X9XW4\\\n",
       "3W6Mjo5i586d2Lt3L/x+v4bfYrGIXq8Hn8+HWCymVVCZGCrHRgf7GyVESj+oVAYB6FHUlZUVzM3N\\\n",
       "4fDhw3jllVd04qvdbke1WtXXmMlk4Pf7Ua1Wsbi4iFqtBrvdrgEzGo3qUd12u63XIkNwiIiIzBgI\\\n",
       "iYg2sFarBeDEcchisYhSqQSr1apL2KempjQU2Gw2uFwuTExM4B3veAd+8Rd/EZs3b4bf74dhGMjn\\\n",
       "8zh8+DCeeOIJPP744yiVSrrKIhqNYvPmzdi6dSscDgeOHTumE0S73a5WnRKJBKLRKCwWiw4rsdvt\\\n",
       "esRTAp/FYsH8/DwqlYoeiZT+N6/XqyEom82i2+0ik8mgVqtpsJQpm9JLt7q6imKxiHq9DsMwsLy8\\\n",
       "DJfLhWKxCI/Ho31yi4uLOHbsGFZWVlAqlbSy5/f74fV6tYqWy+WwuLiI1dVVAEA0GkUoFILf78fM\\\n",
       "zAyuvvpqvO1tb8PY2BgMw9ApnrlcTieLShVOeirl2G61Wu0LygB0qIu8Py6XS9daHD16FM8//zwO\\\n",
       "HTqE5eVlfZ0yGMdisaBUKmF9fR2vvPIKYrEYRkdHEY/H4fF4sHPnTmzduhUAdECPVFsbjYZWJGu1\\\n",
       "Wt+KDHptrBAS0bBgICQi2sAkEEh/nKwQkCmb4XAYwWBQ++X8fj+mpqawZcsWHUDj8XhgsVj0uGSt\\\n",
       "VsPRo0eRSqXQ6XTg9XoxOTmJyy+/HJs2bUKr1UImk+nbE2j+b6PR0Cmj3W4XLpcLPp9P/xwKhXR1\\\n",
       "Rb1e19AZiUQQjUY1GHa7XdRqNQ0/Pp8PIyMjCAaDJ00WrdfrWjWs1+tIp9NotVpIpVJwuVxaTcxm\\\n",
       "s1hbW9MdijJNVI5jyuL7XC6HXC6HdruNYDCIWCyGYDCI8fFxbN++HVu2bEE8Htfjs3KcVobGmANu\\\n",
       "vV7XITSVSgWFQgG5XA6lUkk/JCAWCgXU63WdtLq6uqphUI59mkObeehPu91GvV7XUDsyMoJNmzYh\\\n",
       "kUjA7XbrbeSoqrwH8vMi/ZB0dhgIiWhYMBASEV0CpE/OvDdQfsmPRCKoVCro9XqIx+PYtGkTRkdH\\\n",
       "4fP54HQ6dQG7w+FAMpnEFVdcgcOHD2tlLRgMYtOmTZidnUU8HkehUNCJl+bexGaziWKxiFQqhV6v\\\n",
       "p8NS5LipDEwJh8Pwer0wDAPlchm1Wk2rfi6Xq2/gjfRHNptN1Ot1DWx2u12nhdbrdTSbTR26IrfN\\\n",
       "5/NwOBz6OBL8JJwB6Bs6UyqVUCgU+nYsSlBNJpOYmJjA5OSkHreUoFmv11EqlTSIyYoIqQzKe2Ke\\\n",
       "UtpsNvV7JgGt2WzC4XBgeXkZkUgEvV4Py8vLWFhY0MqjHJ91OBzahym9i/L9kMmr0WgU27Ztw8TE\\\n",
       "BFwulwZsmf6ay+VQKBRQLpdhtVp1mA2dHQZCIhoWDIRERJcA6c+TYSwyvEV6CaUfMJFIIJFIwOfz\\\n",
       "wWazad+a3W6HzWaD3+/HxMQErrrqKrjdbhQKBe2ZCwQCus5AAphMGZWF8uvr63A6nTrsplKpwGKx\\\n",
       "wOfzIRAI6JFSuY0MjZFQVK/XdQJmMBhEOBzW/kHpgZPnk2qXTOiUv0tolKE4EgqlGijhSYKn3W5H\\\n",
       "r9fTcCrhzmazIRgMwu/3Y3R0FFNTU0gmk1pJ63a7yGazWF5eRiaTgWEYGnhlF2Eul8Phw4fx/PPP\\\n",
       "4+WXX9ZgJ32Z8nqkummxWLSqKYOCpLfPPCHW6/XqfsJGo6FBVgKjz+fD+Pg4xsfHEY/HNSTKYBup\\\n",
       "hsq6DL/fj1AohGQyeTF/jC8pDIRENCwYCImINjDzsBbzrj6LxQKXy4VoNIqpqSmdIGmuznU6HR0a\\\n",
       "I4/jdDq1T67dbiOdTqPb7cLhcOieOqkqScg079KTYSy1Wk1DEwB4vV74/X6ttHk8Hp0e6nK5UC6X\\\n",
       "4XK5+garTExMwOfz6VTOeDyOkZERuFwuvX4JgTKYplarabVNJmY6HA64XK6+CaUSnLrdrgaqXq+H\\\n",
       "Wq2mfZEyxMYwDH0MqTZ2Oh3UajW88MILeOGFF5DNZhEIBDAzM6NDc+r1OpaWlnDgwAE899xzWFtb\\\n",
       "02An3y85otlut/squzIISD4v32vpsZyYmMAVV1yB0dFR5PN5HDlyBMePH0e9Xtc9jYlEAoFAQHs0\\\n",
       "zd8Lp9Opa0PkHw6SySTGxsYu9I/wJY1Bj4iGAQMhEdEGJscGzfv5pGonw2AmJydhtVpRqVR0oqUM\\\n",
       "fJEQYg6FDodDq3PSCyhTNA3D0AEuUrEyL7mXUNhqtfoqkHK7WCyG6elphEIhdLtdTExMYHx8XHv+\\\n",
       "PB4PfD6fTvyUx5Yqn81m0/UR9Xod5XIZlUoF1WpVPyQQdrtdDW+GYcBms/X1yLVaLQ22UkEzr42Q\\\n",
       "96lUKqFYLKJSqSAQCOhjrq6u4oknnsChQ4dQr9cRiUTQ6XR0wmq5XMbLL7+MV155Bevr61rBM79n\\\n",
       "8jxS8ZSALeFcwqF8zel0IpFI4PLLL8c73/lOjI2NoVwuIxwOw2azIZPJ6ITTYDCoPx/yfIZhaDg3\\\n",
       "r/IYHR3F6OgoYrHYxfpRJiKiDYqBkIhoA4tEIrryQcKKHL2U6Z7hcFiHt7RaLVQqFeRyOYRCIUSj\\\n",
       "UZ0yKqFOQpzsL5TgKEc8Zd2BObSYK5VyH6kcmo9lhkIhjI2NIRaLwWazodVqYdOmTUin08hms2g2\\\n",
       "mxpo5NrMQ2YkmBYKBeTzeWQyGd2dKMNlzEdGJXRJtdAcwuR46eDrlv48mfIpuw1lgIys3XjppZfw\\\n",
       "s5/9DKurq3ptUlWUoLq0tIR8Pq+7BiXc+nw+XVYvfX0SziWQywAdc4C32WwYGxvD1q1btRdUdglW\\\n",
       "q1XtiZTHNgdPOW4qx3Gj0SjK5TLsdrsGSI/HcxF+ii9NPDJKRMOCgZCIaAObmZnR4OV2u3UPnax+\\\n",
       "kGAnxyPL5bJW8WQ9hYQu+aVVlrjLMcxms6nrLWRfoKxVkPtJKJT+QjmyKUNuZIiLDLkJhUIaEgOB\\\n",
       "gFYkS6US7HY7otEo4vG4Dr6RxzZXANPpNFZXV5HNZlGr1fR4pRyFlGOh8v6Yw2C73dbrk+DocDh0\\\n",
       "/58cDZW+SBnIsrq6CrfbjWKxiLm5OayurqJSqejjp9NpXV/RbDZRKpW0Uim9moFAANPT09iyZQs8\\\n",
       "Ho/uRpTl8pFIBJdddhl27dqF8fFx2Gw2HQRTLpc1MLtcLrhcLrjdboyPj2Pr1q0a3v1+v35P5Nrk\\\n",
       "v3Jc1ev16p5Kj8cDu53/L/9cMBAS0bDg/3cgItrAksmk9rO1223k83ksLi7q0VGv16srBvL5PNLp\\\n",
       "tIbBfD4Pi8Wi1S9ZhG6unjWbTQ1P0nsnFSiPxwPDMDSYACeqVLKyQSabAtAqpt/vh9vt1qqffE0G\\\n",
       "qwDQITQejwdut1uDis1m02EwMkW0WCxqNVKqe1Jpk0Docrng8Xj0yKkMoel0Olq5kx2Nfr9fw1aj\\\n",
       "0UC1WkWxWEStVkM+n8fS0pI+vxwDbbfbsFqtuvahWCxq76HNZutbQu/z+TA9PY1rrrkGO3fuhNPp\\\n",
       "xNLSEtxuN5aXl2Gz2bB582Zcf/312Llzpwb7crmMlZUVLC8vo9ls6oRTOaLq9XqRSCQwMjKCarWq\\\n",
       "FVU5Pizfh2632zfAR65dQjvXTpw9BkIiGhYMhEREG5iEGxmmIgFJetJisRharRZWV1exvLysaw86\\\n",
       "nY4eZ5TgMjo6quscZJ+dVPqkr83tdsPtdiMcDmtl0O126w7DarWKVCqFxcVFDZ8Wi0WrgOZK5OAe\\\n",
       "Q6ncAdBQJ8y/UPd6PQ2qAPTYqoQyqSJKb6Df70ckEtEQWi6X9THMPXvBYBCbN2/Gpk2bYBgGVlZW\\\n",
       "+nYqFotFHQQjxzjlvlarVSe1yrFNp9OJkZER7Y20WCwYHR3FlVdeid27d2NqakrfG5vNhsnJSXg8\\\n",
       "Hmzbtg07duzA6OioBks5ytntdpHL5QBAV27IeyLP3el0UC6XkcvlkEgk+o7syo7Gl156Ca+88gpK\\\n",
       "pZJWeh0Ohx6tpTNjICSiYcFASES0gR0/fhydTkerebLbr16vo1qtIhaLodvtIpPJYGVlBdlsFtVq\\\n",
       "VZeyy7qCRqOBa6+9Vgej5PN5HQ5jPlIpgdDlcmmIkJ47mVw5MTGB0dFRzM/PY21tDZ1ORyeEytFP\\\n",
       "c8VRpnyurKxgdXUVAHTZuxzdNB9HrVQqaDQacDgcCIVCsNls8Pl8cLvdutxdFrzb7XZEIhFdzm6z\\\n",
       "2TRQmY/Cer1ebNq0CXv27MHs7Cyq1SoA6LAbCV4Oh0OrfW63W4/Eyo7FRCKByclJTE1NwefzoV6v\\\n",
       "Y3x8HKVSCU6nExMTE9iyZQsmJibg9/v1aKvFYtH7JJNJxONxvV4Je+adiu12G5VKBW63W3chSnBd\\\n",
       "W1tDrVaDx+OB0+nE2NiY9kSurq7ixRdfxPPPP4/l5WUYhoFoNKprOyKRyEX4Kb40MRAS0bBgICQi\\\n",
       "2sBkCbx5Ib0MIKlUKvD5fLpjT/brtVotXUEgQbJcLmNhYQHbt2+Hx+NBOp1GoVBAq9XSMOjxeBAI\\\n",
       "BBAIBHSiqXmSqAQlWV8wPT2NVCqFarUKt9uNeDyOXq+HarWqVbVms4lcLoe5uTm8+OKLWFpaQq/X\\\n",
       "w6ZNm1CpVLB9+3ZEIhHYbDbtj1xcXESpVILb7cbY2BhCoRBCoRDcbjdarRay2SwymQzK5TJsNhui\\\n",
       "0SiSyaQujPf7/VpJlCpjLBbDlVdeiWuuuQaJRAKFQgHr6+s4ePCgVlsBaJ+h9DdKT6XVakU0GsXm\\\n",
       "zZt1GbzX69XXKwNhgsEggsEgvF6vHtWUx5O9grKHUY7SSuW02Wxq0JdADUCPBadSKSwvL2NxcRG9\\\n",
       "Xg9ra2tYWVnB9PQ03G43SqUSjh49iiNHjmBlZQX1eh1Wq1V7MKvVKhKJxMX5Qb4EMRAS0bBgICQi\\\n",
       "2sBkoMngPkDpFcvlctoTKMvPpa9MFrzn83kcOnQImUwGzz33HEZGRvSIo6yhkP63YDCIUCjUN1BG\\\n",
       "Klwul0v7EcPhMKLRKMbGxlAqldBsNuF0OlEqlXD8+HGtbGWzWbzyyis4ePAgXnnlFb3eQ4cOYX5+\\\n",
       "Htdccw22bt0Kj8eDcrmM+fl5zM3NIZfLweFwIJFIYGxsTIejSOUQgPY1hkIh3ccn1yyBr9VqwW63\\\n",
       "Y3Z2Frt27cL09DR8Ph/sdjtGRkZ0OItMUA0Gg5idncUVV1yBsbGxvqOjoVBIl8HLcnrzvkTpabRa\\\n",
       "rQDQN9BGqoFyjRIGpbdSehjX1taQTqd1wE6j0dCpp4uLizh+/DhSqRSazSZSqRTm5+cRDAbhcDjQ\\\n",
       "bDZRLBZRLBZRr9fR7XZhtVr1HwWq1SrW19ffEuHlV37lV7Bnz56LfRlERG8JDIRERBuYuefLXLGQ\\\n",
       "ICGhTz5kuIi5d096zqRa5/f7MTo6inA4jHA4jFAo1FchDIfDWsWS+8uxSXMPnQQpi8WCfD6Pcrms\\\n",
       "EztbrZYeEz1+/DgymQyKxaIee81ms1hbW8PRo0cxOTmpVTAZ5OJ0OjE+Pg6Px6PXIwFKhtw4nU4A\\\n",
       "0OE15kEzbrdbK3xerxezs7P6PHJUVaZwyloOr9eLbdu24R3veAd+4Rd+ASMjI1rllEX2st9P+hXl\\\n",
       "OeU9kv/KUBuZjCrBW94z8/et0WigWCwik8lgdXUV6XRa11/IIvpyuYxUKoVcLodyuazf+2KxqL2N\\\n",
       "APQazPsW5XlarRZKpdIF+9m91LFCSETDgoGQiGgDMy+VlzAm6wZkfYTcDoBWp+Rz8mEe1NJoNPSY\\\n",
       "ooQnWZ0goUcWxwPQiaRyjFH6E+WYY7lcRjqdRiqVQjabRbFYRKlU0g+pdElYkuuWgHLs2DEditLp\\\n",
       "dGCxWOD3++H1evUaJdjI5FAJWuadg4Zh6DL7crmMbrcLu92ui9oBaCVP+hTdbrfuQ0wkErj22mvx\\\n",
       "9re/HTMzM/D5fPq85qEuEsDke2D+Hg2GQ3k+M3Nob7VaqFarWh2U9898jFX6B6XyJ/2A8r1otVp9\\\n",
       "60fkZ0WeQ96fcrmsj0lnxkBIRMOCgZCIaAOTX/JlbYKsapD1CrKoXYaTmH8xNVcN5UMCTKlU0seV\\\n",
       "+8jgFFk94fP5NPjZ7XZUq9W+lQ7lchmZTAYLCwtYXFxEKpXSSqHsEjSHN/Pzm3vn6vV633VbrVb0\\\n",
       "ej2tIkajUT32WCwWsb6+jvX1ddRqNV2/0Gq1tJqXz+f7gpXb7UY2m8XCwoJeg+wGrNVqetx0dnYW\\\n",
       "W7du1SO1Mm1U3ht5vyR0Af2TVCXEmXc7Sog2VxPNFd1Go4FyuYxCoaBHb+V7ZX5d8h6a3z/5kO+h\\\n",
       "DP+R98+8hxF4dd0InR0GQiIaFgyEREQbmMPh6NvxJ8cnbTYbarUaSqUSarWaVtbkSGK329XVEoO9\\\n",
       "heaKEQCdArq+vo56vQ6Xy6V9hPJ4ch+pVhUKBaTTaSwuLmJxcRFra2soFouoVqt9i+vNzyvMlTUA\\\n",
       "fRU06WtsNBrI5XI4duwYOp2O7g2U4TkyeEWCst1u76sQykAZqfC9/PLLaLfbCIfDaDabyGazKBQK\\\n",
       "aLfb2j8pVVHzcVxzJdLpdMLlcp0UBiUImp9bBvvI9wR49fiuvCeyTqRQKOg6Eek3BNB3NFfCnuxa\\\n",
       "NF+D3W7X65feRtldKatFpKLI4HL2GAiJaFgwEBIRbWDSq+b1ehEOhzEyMqJVPDkWKANiPB6PTreU\\\n",
       "xerZbPak8GU+ZikrLLLZLFZXV7G2toZ6va6L7KPRaN9RyV6vh0KhgIWFBRw9ehRLS0s6xdK8wsIc\\\n",
       "ggaDnwQTc58j0B8UZXrn0tJS3xoJCTfSWynHI81HaCUAA9AKYrfbRTabhcVi0eqdYRhwu92IRCII\\\n",
       "BoNoNBoolUrIZrNaSSuVSmi1WnA6nYhEIgiFQtpDKL2AEr5yuZxOb5Wqqtfrhc/n09dvvkYZ9JLL\\\n",
       "5fQ+5j5D2QEpPZPyHLVaTSuIMlV1fHwcl112GaampuB2u1Gr1ZDNZpHL5VAsFlEul/XY7srKyvn9\\\n",
       "oX2LYCAkomHBQEhEtIFJGDMfF5UjhFIhczqdCAQCGBkZQSQSgWEYOtxFjm7KcUP5JVf6EKUHTYKc\\\n",
       "BAeHw6HBx+/3a/CSFRerq6s6LKZer+sxU3OFUharSwAzHxs1VwXN1yXPI49RKpX6eurkOKUY/EXc\\\n",
       "/HV5LKnilUolPUopgVqqcT6fD+l0WoOXTO2UiZ+BQACTk5PYtGkTEokEfD6fTjttNpsolUpYXl7G\\\n",
       "3NwcMpkM2u22hs14PK6TQCWEVyoVPe5bqVR0J6R5H6Gs+pCpqNLTaLVasba2phNUE4kEdu/ejeuv\\\n",
       "vx4zMzNwOByoVqs6sTSdTmN9fV13Nx4+fPh8/9gSEdElhIGQiGgDM/eKySoC+ZBl6rI7cGxsDLFY\\\n",
       "TCtQctxUQoSEQDmKCEADoYQ1qSD97Gc/w+TkJOLxeN8QFfPxUamyydqKUCiEYDAIt9utwVGqXxJ4\\\n",
       "pK/N3NsIoO8azQvrpY/O3Ic4yFxtlPfMXN2RiiiAvseQCl+pVMLa2pqutVhcXNT32rzrsFqtajCV\\\n",
       "PYVScSwWi0in01hYWMDy8jJqtRqsVitCoRCSySQSiQS8Xq8eV5VpqjLkRYK97Cc0V1N9Ph/i8Thm\\\n",
       "ZmYwPT2N6elpHD16FNlsFlarFZOTk7jmmmuwa9cuJBIJ2O12tFotjI2N6bCaTCaDtbU1lEol/PCH\\\n",
       "PzwfP6pvOawQEtGwYCAkIroEmPfSSS+fHDGUwOPxeOD3+7UXTSZdSliSfjvZN9jtdlGpVHQip4Ql\\\n",
       "CS2Li4tIp9Pwer3weDw6XdTr9SIUCulxUpvNhkgkgrGxMYyMjMDn86HT6SCXy2FlZQUrKyvI5XLa\\\n",
       "WycBT6qchmHoWgafzwe/39+3V08qmIO9iOJ0R0/NPX5SITU/hkxklWExhmGgUCgAgFY1LRYLfD6f\\\n",
       "rruw2Wx6tDQajcLj8eiuQjkCms/nUSgUdDdjOp3GxMQE4vG4rtyQo6WdTkf3OsZiMdjtdu3/lO9f\\\n",
       "PB5HOBzG6Ogo7HY73va2tyGVSmFlZQWVSgXhcBjbtm3DyMiI7mvs9XraVzgyMoLx8XHkcjmunTgH\\\n",
       "DIRENCwYCImINrBAIKCBRdY/yKCYXq+ngbBQKPQFrlqtpn193W4XALSnLZFIIJlMotlsYn19XUOT\\\n",
       "VCKlcia777xeLwKBAIATFTa/34/JyUnY7XbU63V4PB6MjIwgmUwiHA5rpS2bzeq+wGAwiFqtpiGw\\\n",
       "2Wzq0BMZiOPxeBCNRhGLxWCz2ZDP5/vWZZyqOigGB6aY/2zuYTQHQvlvs9lEpVJBr9dDsVjUgS8S\\\n",
       "su12u/YJZjIZVKtVZDIZjIyM6HJ7GXzj9/v7QqNhGLrYXsK0HKetVCpoNpsa0qXSWqvVdEBPtVpF\\\n",
       "JBKBxWJBMBhEMBiExWLB1NSUrvXodru6N1IG0AAnBhK53W74/X6EQiHE43HUarU38afzrY2BkIiG\\\n",
       "BQMhEdEGdvnll2svYDab1R4/mRopS8/luKKEjVQqhUKhgEaj0RcIfT4fotEowuEwarUaGo2GBjUJ\\\n",
       "gm63G263G81mE0tLS2i32wgGg/B6vXC5XHA4HEgmkwgGgzAMAx6PRweuSE+eTAE1hx7peZRBL+YJ\\\n",
       "mzK4ZWRkRCthbre7r7/OHOYGJ32aP+Tz5r185iOY5iqjHJNtNpu6wkEGtshkUXPPpUwSlb68Wq2G\\\n",
       "8fFxuN1u+Hw+xGIxhEIhpFKpvv5Mv9+PZrOJcDgMv98Pj8cDAFp17XQ62isqKzYKhQJqtRrC4TBy\\\n",
       "uZzuVZSBPxLUJeSZA695L6H0Jbrdbv2eXeoeeeQRHDhw4Lw+BwMhEQ0LBkIiOqV2u43/+l//K77/\\\n",
       "/e/j6NGjCIVCuPHGG/Gnf/qnGB8ff837PvDAA/jc5z6HVCqFq666Cl/+8pexZ88e/Xqj0cDv//7v\\\n",
       "49vf/jaazSb27duHr3zlKxgdHT3fL+uSc9NNN6FWq2FxcREvvviiBiTzYJZGo4G1tTUdNtJut7G2\\\n",
       "toZCoaB9ftKj5vV6YbfbUavVNKzZ7Xb4/X7tX5Og0Wg0cPToUaysrGgfm/QpyrJ3GXwii+QdDoce\\\n",
       "0ZTpmOZhKDIkxWazodlsIpVK6SRRCWfmkBmJRJDL5dBoNPQ1nyrsmY+EAv09iXJ8dnApu3miqflY\\\n",
       "qXxOnsO88kGOhzYaDR2+4/F4EI/H9einHCU190DKEV8J5fJ9kKmjEgLN/Y8SKFdXV3Hs2DFMT08j\\\n",
       "EAhoT6dUFGXlhexlNL83EvIlGL5WlZX6MRAS0bBgICSiU6rVajhw4ADuueceXHXVVcjn8/gv/+W/\\\n",
       "4Oabb8Yzzzxz2vt95zvfwV133YUHH3wQ1113He6//37s27cPR44cQSKRAAB88pOfxPe+9z08/PDD\\\n",
       "CIVCuPPOO/G+970P//zP/3yhXt4l4/rrr0ej0cDk5CQA6NFQqWDJsJlKpYJut6uVJDlWKmFQKlhO\\\n",
       "p1OPc1YqFa0MejwehMNhDXUybCWTyehy92QyqX2LchRUwokEJ5fLpYHK7/fD5/OhWq0CeLVCKccb\\\n",
       "5dikHNWU47DmilY0GkU2m9VJphLU5GikTCOVoTMyQVQmjMrUUwlncnsxWC2TACX3lzAor1UCa7vd\\\n",
       "1n7BfD4Pj8ejlbtgMKihV6q48lrl9Qm53nw+j3Q6DafTqd8zm82GdruNXC6Hw4cPIxaLwePxYHx8\\\n",
       "XCuMgzsl5edC3m+5VtlJ2Ww2kUwmz98PLBERXXIYCInolEKh0EnTCP/X//pf2LNnDxYXFzE9PX3K\\\n",
       "+33hC1/ARz/6Ufzmb/4mAODBBx/E9773PXz961/Hpz71KRSLRXzta1/DX/3VX+Fd73oXAOAb3/gG\\\n",
       "du7ciaeeegrXX3/9+X1hlxiZ2tloNDA+Pq7L02Xxu3l6pnn4inxNwpNU66xWK1qtli60l2EpEhj9\\\n",
       "fj+sVqtOMZXQ2Gg04HK5UCqV9MiqDC8BAJfL1RfEZGKmOTRKwJKdhjJNU46tyn49eQ45Wun1euF0\\\n",
       "OvU1m6tjcvxUKmrmXkJzJVFCq3z+VEdP5cNcVZMweaoP6TWU9RHy+OawCkBvJ69T1k/IknoJ8KVS\\\n",
       "CeVyWY+pymTXVquFXC6H48ePY3p6GsFgUK9NJsrKEBrZWSlTZM2PLX2JO3fuvEA/vZc2VgiJaFgw\\\n",
       "EBLRWSsWi7BYLAiHw6f8eqvVwrPPPotPf/rT+jmr1Yobb7wRTz75JADg2WefRbvdxo033qi32bFj\\\n",
       "B6anp/Hkk08yEA4IBAL6i/4VV1yB5eVl5PN5dDodPYZoXngu1S/DMDQI+v1+Xb5uGAaKxSJyuZzu\\\n",
       "vZMKYiwWg9/vR7Vaxfr6OnK5nFYeZXhNOBxGIpGAy+XS3j673a7rKWQIiznISSAyH8WUo5yNRgOF\\\n",
       "QgH5fB71eh3VahUWi0XDoDxfuVzWXj+r1aqVOK/XCwB6/LVUKuneRSGBVMKyXMsg83UBr/6SL2FO\\\n",
       "+iOl8mgYhk5ClSms8nxut7tvdUaj0cD6+roePZWpqzIwR3oJASAajer33DAM1Ot1rKys6LVXq1XM\\\n",
       "zs7C6/Wi1Wohn88jm83qQCHpSbTZbKjValhZWcHLL7+M+fl55PN5/YcYem0MhEQ0LBgIieisNBoN\\\n",
       "3H333fjQhz6EYDB4ytvIMvTBXsDR0VFdhp1KpbTXavA2qVTqtM/fbDbRbDb178MyPt98hHD79u1o\\\n",
       "NptajVpbW0Oz2dRAaA4yEspisRiSyaQurM9kMhoeZEiJy+VCIBDQwJjP57G6uopcLqd9bXJsUr5W\\\n",
       "LBZRKBSQTqfRbreRSCRw3XXXYe/evXoksdPpYG1tDUeOHNE9f4lEAlNTUxgZGdHKVrlc1pUaUr3z\\\n",
       "er2Ix+MYHx/H1NQUKpUKarWaTiSVI6yzs7MIhUIoFArI5XI4cuQIUqmU9gvK0dNAIIBOp4NCoaCh\\\n",
       "0dxPZ+4/lAqhVCslEEYiEe2bNB/HlGO6pVJJl8LL90wCYa1WQyqVQrlcht1u18mmjUZDewU7nY4G\\\n",
       "PlndIWGyXC4jn89jeXkZL774IrZv346pqSm9nRwPlkqg2+1GrVbD0aNH8dxzz2Fubg75fB6tVusC\\\n",
       "/wRf2hj0iGgYMBASEQDgoYcewsc+9jH9+//5P/8Hv/iLvwjgRIXkAx/4AAzDwFe/+tWLcn333Xcf\\\n",
       "/viP/7jvc/fee+9FuZYLSX4hlSreyMgIZmdnkc1mtR9wcOder9eDzWaD3+/H6OgoxsbGEAgE0Gw2\\\n",
       "Ua/X4fV6dXm8x+PRdQY2mw2lUqlvhYUEMPNgEgkoS0tLSKVSaDabWF5eRqfTQTgc7guPCwsLeOml\\\n",
       "l5DJZGCxWJBKpfomj0olzDwttNlsakgEAI/HA5fL1ffLucPhQCwWw/bt2zE2NoZyuYxMJoNisYhs\\\n",
       "Nqu3s9vtiEajmJmZgcvl0gEt2Wy2L0xL9VDeO+nNbLfb+o8RjUZDp4RKn6WsAqlUKnC73XA6nWi1\\\n",
       "WtobCUAfSwKtVCvNqzTkNvJYwnwEWCrAsoojl8vp+y1HTOVYLwDkcjm8/PLLeOWVV7C2ttY3cZbO\\\n",
       "7EJWCJ1OJ9rtdt9EXCKiC4WBkIgAADfffDOuu+46/fvExASAV8PgwsICHnvssdNWBwEgHo/DZrMh\\\n",
       "nU73fT6dTmvVKJlMotVqoVAo9FUJzbc5lU9/+tO466679O+lUgl/+Zd/eU6v8VIklS6ZgilVti1b\\\n",
       "tmjVz24/8X/KZbhIuVxGq9XS46LyIb2IUo0DAL/fj0QigUgkAuDE0Uvp4TvV0vhQKASn04lSqYR8\\\n",
       "Po9isag7BQ8dOoTR0VEEg0FEIhGk02ksLS1hdXUV2WwWvV5PVym0220kk0l0u10NfI1GQyd+ykoK\\\n",
       "2eVnni4qfXJjY2PYvHkzJiYm0Gw2MTo6iqWlJczPz2t/pM/nw+zsLK699lrEYjGsrq7ipz/9KV58\\\n",
       "8UWtlJ5qsb1UCaVHT451SkB0u90aCOUIqvQ2Wq1WHeojjyvB01w5BKDHROV5JSi2Wq2+cCC3l8Bc\\\n",
       "KpVgs9lQqVT0mKt5IqocDV5dXdU+UJmiSmfnQgXCf/Nv/s1JE3CJiC4kBkIiAnCiV02WjwsJgy+/\\\n",
       "/DJ+9KMfIRaLveZjOJ1OXH311di/fz9uueUWACcqHPv378edd94JALj66qvhcDiwf/9+3HrrrQCA\\\n",
       "I0eOYHFxEXv37j3tY8tQlGEjgajT6eiicpfLhZmZGWzatEl71Xq9HiqVClKpFBYXF7G2tqZVqUaj\\\n",
       "of12sVgMnU5Hg0soFEI4HIbL5UIul9P1BVK9kuOnPp8PY2NjmJiYgNvtRrFY1KmeMsAmm83ipZde\\\n",
       "wvT0NCYnJ3X1hQyo6Xa72t8nQ2C8Xq9WKKUSJ4NU1tbWdFqnVAvlCGg8HsfExATGxsYwMjKiy9l3\\\n",
       "7tyJQ4cO6W6+ZDKJnTt3YteuXYhGo5ientbeuna7rYvdzWsqBvsepSonf5adiVKpM78mh8Oh763c\\\n",
       "3xzmpIfSfOzUfFTV6XTqFFLztFOpAjqdTvh8Pp0yKuFfqp3yGLL+Q4KlDKFh9ensXYhA+Nhjj+GJ\\\n",
       "J57A9u3b8dJLL72uxyAieqMYCInolNrtNv7jf/yPOHDgAB599FF0u13t8YtGozrF8IYbbsB73/te\\\n",
       "DXx33XUXPvzhD+Oaa67Bnj17cP/996NarerU0VAohI985CO46667EI1GEQwG8YlPfAJ79+7lQJlT\\\n",
       "OHbsmK4WqNVqqNfrMAwD8XgcoVAIPp9Pf/kvl8vweDw6FKZcLqNerwM4cXRSgl88HteAKKsmms2m\\\n",
       "HhOVaaUSRjweD0ZGRrBlyxZs2bIFwImgKrv0JIw0m01ks1ksLy/rdZj3A0pPXLlcRiqVgsvlwsTE\\\n",
       "hFYp2+02yuWyVkNzuZyGIFnXIANypqenMTU1hUgkAp/PB+DEPxrs2LEDO3bs0N7HrVu3Ytu2bUgm\\\n",
       "kwgGg7pf0TycR3oXZW2Ez+fTsCtrKgZfh/nYpzk8S3iT/31I+JPKnIROt9utU1LNR3IlUEp1UKbA\\\n",
       "yn7ISCSCaDSq1V4J3RIMgRP/MCMrP6RKLKGdlajz6+mnn+77++bNm3H55Zef9vY33HADLBYLjhw5\\\n",
       "wn5FIrpoGAiJ6JSWl5fxD//wDwCA3bt3933tRz/6EX7pl34JADA3N4f19XX92gc/+EGsra3hM5/5\\\n",
       "DFKpFHbv3o0f/OAHfYNmvvjFL8JqteLWW2/tW0xPJ3vuued0uma73Ybb7UYikUAikUA8Htc1EbIr\\\n",
       "sN1u4/jx4+h2uygUCjqkpNPpYHx8XIeiRKNRxONxxGIxuN1ulEolrKysaPgBXq1YhUIhbNq0Cdu2\\\n",
       "bcOmTZvQ7XZRqVRw7NgxrK+v61FP83HGarWKdrutU0zll13z3rz19XUEg0FEo1GMjY0BADKZjAbJ\\\n",
       "Wq2mC+5llUMgEMDk5CQ2b96MZDKpuxUljE1OTmL37t1a1du5c6e+brfbDZvNhkQigdnZWRw9elT7\\\n",
       "7QzD0DAYDAa18ilDZaQ6KP+Vapu5eiiPIyFQVl2Y9w7KsB+pisrex8EqovQmymMEAgGMj49jdnZW\\\n",
       "/7e0vLys/ZjyXwmQNpsNkUgEsVgMzWZT13PIJFQ6s9dTIfzsZz/b93mbzXba9zwejwMAnn/++dd/\\\n",
       "kUREbwIGQiI6pZmZmbPqN5qfnz/pc3feeadWDE/F7XbjgQcewAMPPPBGLnEoHDhwQBevW61WxONx\\\n",
       "XewuRwclEMoRUL/fr0dIq9Wq9pDV63WtDvp8vr7VDTK5U8j+PZ/Ph9HRUczOzmJychLxeByGYaBW\\\n",
       "q2FqagrLy8sa/qQfzlxlNAdC8/FIc7+jBFMJfel0WoOYBFTpg0wmk5iZmdHqoByxlF/eQ6EQtm/f\\\n",
       "rvebnp7WirZU6jweD+LxOKLRKPx+vwY+j8cDv9+vgVCmuZoH3pj7GYFXh74A/ccGJaDKeyKPI9W7\\\n",
       "SCSCRCKBcDis30PpSaxWqyiXy7o+wu12Y3JyEm9729uwc+dOxGIxtFoteL1eLC4u9lUqAej7IUN3\\\n",
       "gBPVU9n1SGfn9QTCe+65B3v27NHPb968+ZS3/8M//ENks1m85z3vwa5du974xRIRvQEMhEREG9jc\\\n",
       "3JyGDplsOTs7qwNMpLokgcLj8cDj8Wi1rtFoaB+Z9O21Wi1EIhE9+mheIm8e3OJwOBAKhZBMJnV1\\\n",
       "hfSZJhIJjI+PIxQK6cAYCUDS82julzOTUCXrHLrdru4slOuWiqhU4Ox2u17LxMQE4vG4VtckbAEn\\\n",
       "go+stOh2u4jFYtqHaB684vV6tWoozysVQp/Ph3a7rUc1B699kHndh7k/UHoEAWgPnwT5UCiEaDSK\\\n",
       "WCymR29lxYQcAZYjtpFIBJs2bcJll12G2dlZ+P1+HeQTDoe1WmkOqrKWY9u2bdpjevz48b4JrPTa\\\n",
       "Xk8g3LNnD97znvec8fbf/OY3AQCPPvpo33NI32g2m0U0Gj33iyYieh0YCImINrBCoaBHEuX4pvSK\\\n",
       "SQAzT6yUoSjmI43dbhf1eh2VSkWDl0zBNE/vlMeSP8sAk1AopFVJCY3yeelhlArhYEVNfqke/KVX\\\n",
       "jl5K4LNarVqhk4AklU9zZS0cDiMUCp0yDJp7HkOhEHq9nl6f3G5wGqcsrQegn5MVF+Yl9XLdpwsI\\\n",
       "5vdNqqJSkZT7mZ9XgrvH44HX69UjncCJnZ8yGMZms8Hn8yEajSIajSIQCOjRV7/fD4/Hc1LgluAp\\\n",
       "VUiHw4GRkRF4vd6TAi6d3vkcKvP1r38dDz74YN/n/u7v/g4AcMsttzAMEtEFZTE4g5qILkGlUglf\\\n",
       "+MIXzviL2Nvf/nbcdNNNF+iqiOhCeOSRR3DgwIHXvM0f/dEfoVgsvuaqnFN59NFHcdNNN+HRRx/V\\\n",
       "gUVnUq1W8Z73vAePPPLIWVUIT0UCKCfBEtGFxn8qJCIiIiIiGlI8MkpEREQ04EItphc8sEVEFwsD\\\n",
       "IREREdGACx0IiYguFgZCIiIiogEMhEQ0LBgIiYiIiAYwEBLRsGAgJCIiIhrAQEhEw4JTRomIiIiI\\\n",
       "iIYUK4REREREA1ghJKJhwUBIRERENICBkIiGBQMhERER0QAGQiIaFgyERERERAMYCIloWDAQEhER\\\n",
       "EZ0Cgx4RDQNOGSUiIiIiIhpSrBASERERDeCRUSIaFgyERERERAMYCIloWDAQEhEREQ1gICSiYcFA\\\n",
       "SERERDSAgZCIhgUDIREREdEABkIiGhYMhEREREQDGAiJaFhw7QQREREREdGQYoWQiIiIaAArhEQ0\\\n",
       "LBgIiYiIiAYwEBLRsGAgJCIiIhrAQEhEw4KBkIiIiGgAAyERDQsGQiIiIqIBDIRENCw4ZZSIiIiI\\\n",
       "iGhIsUJIRERENIAVQiIaFgyERERERAMYCIloWDAQEhEREQ1gICSiYcFASERERDSAgZCIhgUDIRER\\\n",
       "EdEABkIiGhacMkpERERERDSkWCEkIiIiGsAKIRENCwZCIiIiolNg0COiYcBASERERDSAFUIiGhYM\\\n",
       "hEREREQDGAiJaFgwEBIRERENYCAkomHBQEhEREQ0gIGQiIYF104QERERERENKVYIiYiIiAawQkhE\\\n",
       "w4KBkIiIiGgAAyERDQsGQiIiIqIBDIRENCwYCImIiIgGMBAS0bBgICQiIiIawEBIRMOCU0aJiIiI\\\n",
       "iIiGFAMhERER0QCpEJ7tx7lwOBwn3f/2228/T6+EiOi1MRASERERDTifgbDT6SAYDOLWW2/Fr/zK\\\n",
       "rwAAvvWtb+HHP/7x+XgpRESviT2ERERERAPOZw+hYRh9f//qV7+K3/md38EnPvEJ/Ou//us5PRYR\\\n",
       "0RvFQEhEb2nz8/N45JFHLvZlENGbaH5+/rw/x+sJhE8//XTf5zdv3ozLL7/8jPd/7rnn9PZERBca\\\n",
       "AyERvaXlcjnkcrmLfRlEdIl5PYHws5/9bN/nbTYbOp3Oa963UqngL/7iLwAA3/3ud1/HlRIRvTEM\\\n",
       "hERERERvgnvuuQd79uzRv59NxS8QCOh9iYguBgZCIiIiogGvp0K4Z88evOc97zmn5wCA3/3d38V/\\\n",
       "+2//7dwvkojoTcApo0R0Vj7+8Y/DYrHg/vvvP+NtH3jgAczMzMDtduO66647qa+m0WjgjjvuQCwW\\\n",
       "g9/vx6233op0On2erpyI6NydzymjrVZL7/Nbv/Vb+PM///Pz8RKIiM4KAyERndF3v/tdPPXUUxgf\\\n",
       "Hz/jbb/zne/grrvuwr333osDBw7gqquuwr59+5DJZPQ2n/zkJ/HII4/g4YcfxuOPP46VlRW8733v\\\n",
       "O58vgYjonJzPQOhyuQAAV155JXbu3InPf/7z+PznP49nnnnmfLwUIqLXxCOjRPSalpeX8YlPfAL/\\\n",
       "9//+X7z73e8+4+2/8IUv4KMf/Sh+8zd/EwDw4IMP4nvf+x6+/vWv41Of+hSKxSK+9rWv4a/+6q/w\\\n",
       "rne9CwDwjW98Azt37sRTTz2F66+//ry+HiKis3WuQe9cvfDCC/iDP/gD/XswGESxWDyvz0lENIgV\\\n",
       "QiI6rV6vh9tuuw1/8Ad/gCuuuOKMt2+1Wnj22Wdx44036uesVituvPFGPPnkkwCAZ599Fu12u+82\\\n",
       "O3bswPT0tN6GiOhiO58VQsMwTvnBMEhEFwMrhER0Wv/zf/5P2O12/O7v/u5Z3X59fR3dbhejo6N9\\\n",
       "nx8dHcXhw4cBAKlUCk6nE+Fw+KTbpFKp0z52s9lEs9nUv5dKpbN8FURERER0OqwQEhEA4KGHHoLf\\\n",
       "79ePxx9/HH/+53+Ob37zm+f92NTZuO+++xAKhfRjamrqYl8SEb2Fnc8KIRHRRsJASEQAgJtvvhnP\\\n",
       "P/+8fvzkJz9BJpPB9PQ07HY77HY7FhYW8Pu///uYmZk55WPE43HYbLaTJoam02kkk0kAQDKZRKvV\\\n",
       "QqFQOO1tTuXTn/40isWifiwtLb2h10tE9FoYCIloWPDIKBEBOLEcWRYkA8Bv//Zv46abbuq7zb59\\\n",
       "+3DbbbfpwJhBTqcTV199Nfbv349bbrkFwIk+xP379+POO+8EAFx99dVwOBzYv38/br31VgDAkSNH\\\n",
       "sLi4iL179572+lwul07mIyI6317PHkIioksRAyERnVIsFkMsFuv7nMPhQDKZxGWXXaafu+GGG/De\\\n",
       "975XA99dd92FD3/4w7jmmmuwZ88e3H///ahWqxoiQ6EQPvKRj+Cuu+5CNBpFMBjEJz7xCezdu5cT\\\n",
       "Rolow2AgJKJhwUBIRG/I3Nwc1tfX9e8f/OAHsba2hs985jNIpVLYvXs3fvCDH/QNmvniF78Iq9WK\\\n",
       "W2+9Fc1mE/v27cNXvvKVi3H5RESnxEBIRMOCgZCIztr8/PxZfe7OO+/UiuGpuN1uPPDAA3jggQfe\\\n",
       "xKsjInrzMBAS0bDgUBkiIiIiIqIhxQohERER0QBWCIloWDAQEhEREQ1gICSiYcFASERERDSAgZCI\\\n",
       "hgUDIREREdEABkIiGhYMhEREREQDGAiJaFhwyigREREREdGQYoWQiIiIaAArhEQ0LBgIiYiIiAYw\\\n",
       "EBLRsGAgJCIiIhrAQEhEw4KBkIiIiGgAAyERDQsGQiIiIqIBDIRENCw4ZZSIiIiIiGhIsUJIRJck\\\n",
       "wzAu9iUQ0Qb3Rv7vRLlcPuvKX7lcft3PQ0R0sTEQEtElqVwu44//+I8v9mUQ0QZWLpcRCoXO6T7T\\\n",
       "09MAgKmpqXN+PrkvEdGlxGLwn9mJ6BLU6/WwsrKCQCAw1P07pVIJU1NTWFpaQjAYvNiXc9HwfTiB\\\n",
       "78MJhmGgXC5jfHwcVuu5d8f87Gc/w+Li4jndZ3p6Grt27Trn5yIiutgYCImILmGlUgmhUAjFYnGo\\\n",
       "AwDfhxP4PhAR0bniUBkiIiIiIqIhxUBIREREREQ0pBgIiYguYS6XC/feey9cLtfFvpSLiu/DCXwf\\\n",
       "iIjoXLGHkIiIiIiIaEixQkhERERERDSkGAiJiIiIiIiGFAMhERERERHRkGIgJCLaQNrtNu6++25c\\\n",
       "eeWV8Pl8GB8fx+23346VlZUz3veBBx7AzMwM3G43rrvuOjz99NN9X280GrjjjjsQi8Xg9/tx6623\\\n",
       "Ip1On6+X8oac6bUMevjhh7Fjxw643W5ceeWV+P73v9/3dcMw8JnPfAZjY2PweDy48cYb8fLLL5/P\\\n",
       "l/CG3Xfffbj22msRCASQSCRwyy234MiRI2e831vxvSAiovOHgZCIaAOp1Wo4cOAA7rnnHhw4cAB/\\\n",
       "+7d/iyNHjuDmm29+zft95zvfwV133YV7770XBw4cwFVXXYV9+/Yhk8nobT75yU/ikUcewcMPP4zH\\\n",
       "H38cKysreN/73ne+X9I5O5vXYvaTn/wEH/rQh/CRj3wEzz33HG655RbccsstePHFF/U2f/Znf4Yv\\\n",
       "felLePDBB/HTn/4UPp8P+/btQ6PRuFAv65w9/vjjuOOOO/DUU0/hhz/8IdrtNn75l38Z1Wr1tPd5\\\n",
       "q74XRER0HhlERLShPf300wYAY2Fh4bS32bNnj3HHHXfo37vdrjE+Pm7cd999hmEYRqFQMBwOh/Hw\\\n",
       "ww/rbQ4dOmQAMJ588snzd/Gvw5ley6APfOADxrvf/e6+z1133XXGxz72McMwDKPX6xnJZNL43Oc+\\\n",
       "p18vFAqGy+Uy/vqv//o8vILzI5PJGACMxx9//LS3GZb3goiI3jysEBIRbXDFYhEWiwXhcPiUX2+1\\\n",
       "Wnj22Wdx44036uesVituvPFGPPnkkwCAZ599Fu12u+82O3bswPT0tN5mIzib1zLoySef7Ls9AOzb\\\n",
       "t09vf+zYMaRSqb7bhEIhXHfddRvqtZ9JsVgEAESj0dPeZljeCyIievMwEBIRbWCNRgN33303PvSh\\\n",
       "DyEYDJ7yNuvr6+h2uxgdHe37/OjoKFKpFAAglUrB6XSeFCrNt9kIzua1DEqlUmd87fK5s33MjabX\\\n",
       "6+H3fu/38M53vhNve9vbTnu7YXgviIjozcVASER0ET300EPw+/368cQTT+jX2u02PvCBD8AwDHz1\\\n",
       "q1+9iFdJF9sdd9yBF198Ed/+9rcv9qUQEdFbjP1iXwAR0TC7+eabcd111+nfJyYmALwaBhcWFvDY\\\n",
       "Y4+dtjoIAPF4HDab7aSJoel0GslkEgCQTCbRarVQKBT6qoTm22wEZ/NaBiWTyTO+dvnc2NhY3212\\\n",
       "7979Jl79+XHnnXfi0UcfxY9//GNMTk6+5m3f6u8FERG9+VghJCK6iAKBALZu3aofHo9Hw+DLL7+M\\\n",
       "//f//h9isdhrPobT6cTVV1+N/fv36+d6vR7279+PvXv3AgCuvvpqOByOvtscOXIEi4uLepuN4Gxe\\\n",
       "y6C9e/f23R4AfvjDH+rtZ2dnkUwm+25TKpXw05/+dEO99kGGYeDOO+/Ed7/7XTz22GOYnZ09433e\\\n",
       "qu8FERGdRxd7qg0REb2q1WoZN998szE5OWk8//zzxurqqn40m0293bve9S7jy1/+sv7929/+tuFy\\\n",
       "uYxvfvObxsGDB43f/u3fNsLhsJFKpfQ2H//4x43p6WnjscceM5555hlj7969xt69ey/o6zsbZ3ot\\\n",
       "t912m/GpT31Kb//P//zPht1uNz7/+c8bhw4dMu69917D4XAYL7zwgt7mT//0T41wOGz8/d//vfGz\\\n",
       "n/3M+NVf/VVjdnbWqNfrF/z1na3//J//sxEKhYx//Md/7Ps5qNVqeptheS+IiOj8YSAkItpAjh07\\\n",
       "ZgA45cePfvQjvd2mTZuMe++9t+++X/7yl43p6WnD6XQae/bsMZ566qm+r9frdeN3fud3jEgkYni9\\\n",
       "XuO9732vsbq6egFe1bl7rdfyb//tvzU+/OEP993+f//v/21s377dcDqdxhVXXGF873vf6/t6r9cz\\\n",
       "7rnnHmN0dNRwuVzGDTfcYBw5cuRCvJTX7XQ/B9/4xjf0NsPyXhAR0fljMQzDuDi1SSIiIiIiIrqY\\\n",
       "2ENIREREREQ0pBgIiYiIiIiIhhQDIRERERER0ZBiICQiIiIiIhpSDIRERERERERDioGQiIiIiIho\\\n",
       "SDEQEhERERERDSkGQiIiIiIioiHFQEhERJeEr33ta/jlX/7l8/48P/jBD7B79270er3z/lxEREQX\\\n",
       "GwMhERFteI1GA/fccw/uvffe8/5c//7f/3s4HA489NBD5/25iIiILjYGQiIi2vD+5m/+BsFgEO98\\\n",
       "5zsvyPP9xm/8Br70pS9dkOciIiK6mBgIiYjogllbW0MymcSf/Mmf6Od+8pOfwOl0Yv/+/ae937e/\\\n",
       "/W3cdNNNfZ/7pV/6Jfze7/1e3+duueUW/MZv/Ib+fWZmBv/9v/933H777fD7/di0aRP+4R/+AWtr\\\n",
       "a/jVX/1V+P1+7Nq1C88880zf49x000145plnMDc39/pfLBER0SWAgZCIiC6YkZERfP3rX8cf/dEf\\\n",
       "4ZlnnkG5XMZtt92GO++8EzfccMNp7/dP//RPuOaaa17Xc37xi1/EO9/5Tjz33HN497vfjdtuuw23\\\n",
       "3347fv3Xfx0HDhzAli1bcPvtt8MwDL3P9PQ0RkdH8cQTT7yu5yQiIrpUMBASEdEF9R/+w3/ARz/6\\\n",
       "Ufzar/0aPv7xj8Pn8+G+++477e0LhQKKxSLGx8df9/N97GMfw7Zt2/CZz3wGpVIJ1157Ld7//vdj\\\n",
       "+/btuPvuu3Ho0CGk0+m++42Pj2NhYeF1PScREdGlgoGQiIguuM9//vPodDp4+OGH8dBDD8Hlcp32\\\n",
       "tvV6HQDgdrtf13Pt2rVL/zw6OgoAuPLKK0/6XCaT6bufx+NBrVZ7Xc9JRER0qWAgJCKiC25ubg4r\\\n",
       "Kyvo9XqYn59/zdvGYjFYLBbk8/kzPm632z3pcw6HQ/9ssVhO+7nBNRO5XA4jIyNnfE4iIqJLGQMh\\\n",
       "ERFdUK1WC7/+67+OD37wg/jsZz+L//Sf/tNJ1Tkzp9OJyy+/HAcPHjzpa4PHPI8ePfqmXGOj0cDc\\\n",
       "3Bx+4Rd+4U15PCIioo2KgZCIiC6oP/zDP0SxWMSXvvQl3H333di+fTt+67d+6zXvs2/fPvzTP/3T\\\n",
       "SZ//+7//e/zt3/4t5ubm8D/+x//AwYMHsbCwgOXl5Td0jU899RRcLhf27t37hh6HiIhoo2MgJCKi\\\n",
       "C+Yf//Efcf/99+Nb3/oWgsEgrFYrvvWtb+GJJ57AV7/61dPe7yMf+Qi+//3vo1gs9n3+3e9+N/7s\\\n",
       "z/4Ml19+OX784x/jK1/5Cp5++ml861vfekPX+dd//df4tV/7NXi93jf0OERERBudxTDP2SYiItqg\\\n",
       "3v/+9+Ptb387Pv3pTwM4sYdw9+7duP/++9/U51lfX8dll12GZ555BrOzs2/qYxMREW00rBASEdEl\\\n",
       "4XOf+xz8fv95f575+Xl85StfYRgkIqKhwAohERFdks5XhZCIiGiYMBASERERERENKR4ZJSIiIiIi\\\n",
       "GlIMhEREREREREOKgZCIiIiIiGhIMRASERERERENKQZCIiIiIiKiIcVASERERERENKQYCImIiIiI\\\n",
       "iIYUAyEREREREdGQYiAkIiIiIiIaUgyEREREREREQ4qBkIiIiIiIaEgxEBIREREREQ0pBkIiIiIi\\\n",
       "IqIhxUBIREREREQ0pP4/UheqRPxQqVoAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[5] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA5kBJREFUeJzs3XeYXXW5L/Dv7r336T2TnpBmQiAIaLiCEj2gcOGCiqIICod7\\\n",
       "5BwURJAjB70q8XCRi6hYQBBLeM4BkdBLQkgF0ibJ9LZ7b2u3df/I8/ux9p6ZVELKvJ/nmQey61pr\\\n",
       "b3S+eX+/95WJoiiCEEIIIYQQQsi0Iz/ZB0AIIYQQQggh5OSgQEgIIYQQQggh0xQFQkIIIYQQQgiZ\\\n",
       "pigQEkIIIYQQQsg0RYGQEEIIIYQQQqYpCoSEEEIIIYQQMk1RICSEEEIIIYSQaYoCISGEEEIIIYRM\\\n",
       "UxQICSGEEEIIIWSaokBICCGEEEIIIdMUBUJCCCGEEEIImaYoEBJCCCGEEELINEWBkBBCCCGEEEKm\\\n",
       "KQqEhBBCCCGEEDJNUSAkhBByTF599VXIZDK8+uqrJ/tQyIfsnXfegVqtxuDg4Ef+3pFIBAaDAc89\\\n",
       "99xH/t6EEDIdUSAkhBBySA899BAee+yxk30Yx+SJJ57AAw88cLIPAwBQqVTwox/9CK2trdBqtZg3\\\n",
       "bx7++Mc/HvHz4/E4rr/+erhcLhgMBnz84x/Htm3bJjzuqaeewtVXX43Ozk7IZDKcd955R32s3/3u\\\n",
       "d3HllVeiubn5qJ97vBwOB77yla/gzjvv/MjfmxBCpiOZKIriyT4IQgghp645c+bA6XROqARWKhUU\\\n",
       "CgWo1WrI5afm3y9ecskl2LlzJwYGBk72oeD222/Hf/zHf+CrX/0qlixZgmeeeQbPPvss/vjHP+KK\\\n",
       "K6445HMrlQrOOeccvPvuu/j2t78Np9OJhx56CMPDw9i6dSs6Ozv5Y8877zxs3boVS5YswY4dOzBv\\\n",
       "3ryjquLu2LEDCxcuxIYNG7B8+fJjPd3jsmfPHsyaNQsvvfQSzj///JNyDIQQMl1QICSEkCOQyWRg\\\n",
       "MBhO9mGcFFMFwtPBqRIIR0dH0draiuuvvx4PPvggAEAURaxatQr9/f0YGBiAQqGY8vl/+tOf8IUv\\\n",
       "fAFPP/00LrvsMgBAKBRCV1cX/sf/+B944okn+GOHh4dRX18PuVx+TJ/dzTffjHXr1mFgYAAymezY\\\n",
       "TvhDMHfuXCxcuBC/+93vTtoxEELIdHBq/pUuIYScQKOjo7juuutQV1cHjUaD1tZW3HDDDSgUCgCA\\\n",
       "xx57DDKZDK+99hq+8Y1vwO12o6GhgT//oYcewuzZs6HRaFBXV4cbb7wR8Xi86j3279+Pf/qnf4LX\\\n",
       "64VWq0VDQwOuuOIKJBIJ/pj169dj5cqVsFqtMBqNmDFjBr7zne8c9viP5HmCIOCuu+5CR0cHNBoN\\\n",
       "Ghsbcdttt0EQhAmv94c//AFLly6FXq+HzWbDueeeixdeeAEA0NLSgl27duG1116DTCarWoI41R7C\\\n",
       "p59+GosWLYJOp4PT6cTVV1+N0dHRqsd88YtfhNFoxOjoKNasWQOj0QiXy4V/+Zd/QblcPuw1eOaZ\\\n",
       "Z3DxxRfzz7C9vR0/+MEPqp573nnn4dlnn8Xg4CA/9paWlilf84tf/CJ/XO3P97///cMe0+GOt1gs\\\n",
       "4hvf+Aa/TSaT4YYbbsDIyAg2btx4yOf/+c9/hsfjwec+9zl+m8vlwuc//3k888wzVZ9rY2PjcVVs\\\n",
       "161bh/PPP39CGJzqOrS0tOCLX/wi/zP77+fNN9/Et771LbhcLlitVnzta19DoVBAPB7HNddcA5vN\\\n",
       "BpvNhttuuw2T/d30Jz7xCfzXf/3XpPcRQgj58ChP9gEQQshHaWxsDEuXLuX7sbq7uzE6Ooo///nP\\\n",
       "yGazUKvV/LHf+MY34HK58L3vfQ+ZTAYA8P3vfx933303LrzwQtxwww3o6enBL37xC2zevBlvvfUW\\\n",
       "VCoVCoUCVq9eDUEQ8M1vfhNerxejo6P47//+b8TjcVgsFuzatQuXXHIJ5s2bh3vuuQcajQYHDhzA\\\n",
       "W2+9dcjjP5LnVSoVfOYzn8Gbb76J66+/HjNnzsT777+Pn/3sZ9i3bx/WrVvHH3v33Xfj+9//Plas\\\n",
       "WIF77rkHarUamzZtwssvv4xPfvKTeOCBB/DNb34TRqMR3/3udwEAHo9nyuN77LHH8KUvfQlLlizB\\\n",
       "fffdh0AggLVr1+Ktt97C9u3bYbVa+WPL5TJWr16NZcuW4f/8n/+DF198ET/5yU/Q3t6OG2644ZDX\\\n",
       "4bHHHoPRaMStt94Ko9GIl19+Gd/73veQTCbx4x//GMDBfXCJRAIjIyP42c9+BgAwGo1TvubXvvY1\\\n",
       "XHjhhVW3Pf/883j88cfhdrv5beFw+JDHxphMJmg0GgDA9u3bYTAYMHPmzKrHLF26lN+/cuXKKV9r\\\n",
       "+/btOOussyYEvaVLl+KRRx7Bvn37MHfu3CM6rkMZHR3F0NAQzjrrrON+Lfbdv/vuu/H222/jkUce\\\n",
       "gdVqxYYNG9DU1IQf/vCHeO655/DjH/8Yc+bMwTXXXFP1/EWLFuFnP/sZdu3ahTlz5hz38RBCCJmC\\\n",
       "SAgh08g111wjyuVycfPmzRPuq1QqoiiK4m9+8xsRgLhy5UqxVCrx+4PBoKhWq8VPfvKTYrlc5rc/\\\n",
       "+OCDIgDx17/+tSiKorh9+3YRgPj0009PeRw/+9nPRABiKBQ6quM/kuf9/ve/F+VyufjGG29U3f7w\\\n",
       "ww+LAMS33npLFEVR3L9/vyiXy8XPfvazVecjih9cC1EUxdmzZ4urVq2a8D6vvPKKCEB85ZVXRFEU\\\n",
       "xUKhILrdbnHOnDliLpfjj/vv//5vEYD4ve99j9927bXXigDEe+65p+o1Fy5cKC5atOjQF0EUxWw2\\\n",
       "O+G2r33ta6Jerxfz+Ty/7eKLLxabm5sP+3qT2b9/v2ixWMRPfOITVd8DAEf085vf/KbqONra2ia8\\\n",
       "RyaTEQGI//Zv/3bIYzEYDOKXv/zlCbc/++yzIgDx+eefn/R5U312U3nxxRdFAOJ//dd/TbgPgHjX\\\n",
       "XXdNuL25uVm89tpr+Z/Zfz+rV6+u+h4tX75clMlk4te//nV+W6lUEhsaGiY9xg0bNogAxKeeeuqI\\\n",
       "j58QQsjRoyWjhJBpo1KpYN26dfj0pz+NxYsXT7i/doncV7/61ap9XS+++CIKhQJuueWWqkrNV7/6\\\n",
       "VZjNZjz77LMAAIvFAgD4xz/+gWw2O+mxsErZM888g0qlcsTncCTPe/rppzFz5kx0d3cjHA7zH9ac\\\n",
       "45VXXgFwcGlgpVLB9773vQmVp2PZO7ZlyxYEg0F84xvfgFar5bdffPHF6O7u5tdH6utf/3rVn885\\\n",
       "5xz09fUd9r10Oh3/91QqhXA4jHPOOQfZbBZ79+496mOvlclk8NnPfhY2mw1//OMfq74H69evP6Kf\\\n",
       "1atX8+fkcjleLZRi1ymXyx3yeI73+UcqEokAAGw223G/1nXXXVf1PVq2bBlEUcR1113Hb1MoFFi8\\\n",
       "ePGknzk7hiOtyBJCCDk2tGSUEDJthEIhJJPJI15+1traWvVnNpNtxowZVber1Wq0tbXx+1tbW3Hr\\\n",
       "rbfipz/9KR5//HGcc845+MxnPoOrr76ah8UvfOELePTRR/GVr3wF//Zv/4YLLrgAn/vc53DZZZcd\\\n",
       "cv/XkTxv//792LNnD1wu16SvEQwGAQC9vb2Qy+WYNWvWEV2Pw5nq+gBAd3c33nzzzarbtFrthGO0\\\n",
       "2WyIxWKHfa9du3bhjjvuwMsvv4xkMll1n3Sf5rH66le/it7eXmzYsAEOh6PqvtplpUdCp9NNun8z\\\n",
       "n8/z+0/k84+W+CHs22tqaqr6M/vuNzY2Trh9ss+cHcPJbGxDCCHTAQVCQgiZwvH8kv2Tn/wEX/zi\\\n",
       "F/HMM8/ghRdewLe+9S3cd999ePvtt9HQ0ACdTofXX38dr7zyCp599lk8//zzeOqpp3D++efjhRde\\\n",
       "mLLj5JE8r1KpYO7cufjpT3866WvU/kJ+shyqq+ahxONxrFq1CmazGffccw/a29uh1Wqxbds2/Ou/\\\n",
       "/utRVVwns3btWvzxj3/EH/7wByxYsGDC/X6//4hex2Kx8O+Qz+fDK6+8AlEUqwLO+Pg4AKCuru6Q\\\n",
       "r+Xz+fhjpY70+UeKhd8jCeXMVOFxqs93stsnew12DE6n84iPhRBCyNGjJaOEkGnD5XLBbDZj586d\\\n",
       "x/R8NqS7p6en6vZCoYD+/v4JQ7znzp2LO+64A6+//jreeOMNjI6O4uGHH+b3y+VyXHDBBfjpT3+K\\\n",
       "3bt349///d/x8ssv8yWdUznc89rb2xGNRnHBBRfgwgsvnPDDKnjt7e2oVCrYvXv3Id/vSCs0U10f\\\n",
       "dtuHNeT81VdfRSQSwWOPPYabb74Zl1xyCS688MJJlzkebXXpjTfewL/8y7/glltuwVVXXTXpY3w+\\\n",
       "3xH9PPXUU/w5CxYsQDabxZ49e6pea9OmTfz+Q1mwYAG2bds2Iexu2rQJer0eXV1dR3WeU+nu7gYA\\\n",
       "9Pf3T3p/KpWacBurOH/Y2DHUNuIhhBDy4aJASAiZNuRyOdasWYP/+q//wpYtWybcf7hlchdeeCHU\\\n",
       "ajV+/vOfVz32V7/6FRKJBC6++GIAQDKZRKlUqnru3LlzIZfL+bK/aDQ64fVZKJhsaSBzJM/7/Oc/\\\n",
       "j9HRUfzyl7+c8NhcLsc7pq5ZswZyuRz33HPPhKAhPT+DwTBhrMZkFi9eDLfbjYcffrjqHP7+979j\\\n",
       "z549/PocL1Zhkh5joVDAQw89NOGxBoPhiJeQjo+P4/Of/zxWrlzJO5VO5lj2EF566aVQqVRVxyiK\\\n",
       "Ih5++GHU19djxYoVVcexd+9eFItFfttll12GQCCAv/71r/y2cDiMp59+Gp/+9Kcn3V94LOrr69HY\\\n",
       "2Djpfx8AJowY+fvf/458Pn9CRkNs3boVFosFs2fP/tBfmxBCyAdoySghZFr54Q9/iBdeeAGrVq3i\\\n",
       "IxnGx8fx9NNP480336wai1DL5XLh9ttvx913342LLroIn/nMZ9DT04OHHnoIS5YswdVXXw0AePnl\\\n",
       "l3HTTTfh8ssvR1dXF0qlEn7/+99DoVDgn/7pnwAA99xzD15//XVcfPHFaG5uRjAYxEMPPYSGhoZD\\\n",
       "jh84kuf9r//1v/CnP/0JX//61/HKK6/g7LPPRrlcxt69e/GnP/0J//jHP7B48WJ0dHTgu9/9Ln7w\\\n",
       "gx/gnHPOwec+9zloNBps3rwZdXV1uO+++wAcbP//i1/8Avfeey86Ojrgdrt5gxoplUqF+++/H1/6\\\n",
       "0pewatUqXHnllXzsREtLC/75n//5WD+2KitWrIDNZsO1116Lb33rW5DJZPj9738/aShZtGgRnnrq\\\n",
       "Kdx6661YsmQJjEYjPv3pT0/6ut/61rcQCoVw22234cknn6y6b968eZg3bx6AY9tD2NDQgFtuuQU/\\\n",
       "/vGPUSwWsWTJEqxbtw5vvPEGHn/88apllLfffjt++9vfor+/n89NvOyyy/Cxj30MX/rSl7B79244\\\n",
       "nU489NBDKJfLuPvuu6ve6/XXX8frr78O4OC+2Uwmg3vvvRcAcO655+Lcc8895LFeeuml+Nvf/jZh\\\n",
       "eSsA7NmzB5/61Kfwmc98BmNjY1i7di0sFgs2bNiAP/7xj7jyyiuP+tpMZf369fj0pz9NewgJIeRE\\\n",
       "OxmtTQkh5GQaHBwUr7nmGtHlcokajUZsa2sTb7zxRlEQBFEUP2ibP9loClE8OGaiu7tbVKlUosfj\\\n",
       "EW+44QYxFovx+/v6+sQvf/nLYnt7u6jVakW73S5+/OMfF1988UX+mJdeekm89NJLxbq6OlGtVot1\\\n",
       "dXXilVdeKe7bt++Qx36kzysUCuL9998vzp49W9RoNKLNZhMXLVok3n333WIikah67K9//Wtx4cKF\\\n",
       "/HGrVq0S169fz+/3+/3ixRdfLJpMJhEAHxFQO3aCeeqpp/jr2e128aqrrhJHRkaqHnPttdeKBoNh\\\n",
       "wvnddddd4pH8X9Nbb70lfuxjHxN1Op1YV1cn3nbbbeI//vGPCceTTqfF//k//6dotVpFAIccQbFq\\\n",
       "1aopR0hMNm7haJXLZfGHP/yh2NzcLKrVanH27NniH/7whwmPYyM5+vv7q26PRqPiddddJzocDlGv\\\n",
       "14urVq2a9DvKruGxnse2bdtEABPGlgAQb731VvHyyy8XdTqd6PP5xAcffFB8+OGHRb1eL37lK18R\\\n",
       "RXHq/37YcdWOTJnsu7Bnzx4RQNV/M4QQQk4MmSiegHUehBBCCDltXXDBBairq8Pvf/97fptMJsNd\\\n",
       "d92F73//+yf8/W+55Ra8/vrr2Lp1K1UICSHkBKM9hIQQQgip8sMf/hBPPfUUHyXyUYpEInj00Udx\\\n",
       "7733UhgkhJCPAO0hJIQQQkiVZcuWoVAonJT3djgcSKfTJ+W9CSFkOqIKISGEEEIIIYRMU1QhJIQQ\\\n",
       "QshhUcsBQgg5M1GFkBBCCCGEEEKmKQqEhBBCCCGEEDJN0ZJRQshpqVKpYGxsDCaTiToREkKqiKKI\\\n",
       "VCqFuro6yOVH/3ffmzdvRn9//1E9p7W1FUuWLDnq9yKEkJONAiEh5LQ0NjaGRx999GQfBiHkFHX3\\\n",
       "3XdjeHgYDQ0NR/W8zZs3Y+nSpcf0nu+88w6FQkLIaYcCISHktGQymQCAqoOEkCmx/504GkdbGax9\\\n",
       "7pEGwvb2dvT19fE/22w2RKNRAEBvby86OjomPOe2227D/ffff8zHRwghk6E9hISQ0xIFQULI4Rzv\\\n",
       "/07IZLIj+jkWbNai1WqdcN/bb78N4GCg/cxnPoPZs2cDAH70ox8d24kQQsghUCAkhBBCCKlxpGHw\\\n",
       "WENhIBCAKIqIxWIT7rvqqqsgiiKSySSeeeYZ7Ny5EwsWLAAAfOMb3zjeUyOEkCq0ZJQQQgghpMbR\\\n",
       "Bj1RFLFhw4aq27q6uniQO16hUAgAcN55530or0cIIQwFQkIIIYSQGsdS+Vu7di3Wrl1b9RqVSuW4\\\n",
       "j2Xz5s0YHR0FAHz+858/7tcjhBApCoSEEEIIITWOJRDefPPNWLFiBf9zV1fXcR9Hb28v73r61FNP\\\n",
       "HffrEUJILQqEhBBCCCE1jiUQrlix4kOt4Em7jf7nf/4nVQcJIScENZUhhBBCCDnFSMPg/fffj5tu\\\n",
       "uukkHxEh5ExFFUJCCCGEkBrHM1LiSDz77LP44Q9/yP+cTCZx9tlnY/78+fjf//t/8zB49tlnI51O\\\n",
       "43vf+x4A4IorrsCsWbNO2HERQqYfCoSEEEIIITVOdCC86aabMDAwwP9cLpexYcMGbNiwAfl8nt/+\\\n",
       "1ltv4a233uJ//v3vf4/+/v4TdlyEkOmHAiEhhBBCSI0THQgPF+p+/etfn7D3JoQQKQqEhBBCCCE1\\\n",
       "TnQgJISQUwUFQkIIIYSQGhQICSHTBXUZJYQQQgghhJBpiiqEhBBCCCE1qEJICJkuqEJICDli//Ef\\\n",
       "/wGZTIZbbrnlkI97+umn0d3dDa1Wi7lz5+K5556rul8URXzve9+Dz+eDTqfDhRdeiP3795/AIyeE\\\n",
       "kKPDAuGR/hBCyOmKAiEh5Ihs3rwZ/+///T/MmzfvkI/bsGEDrrzySlx33XXYvn071qxZgzVr1mDn\\\n",
       "zp38MT/60Y/w85//HA8//DA2bdoEg8GA1atXV7VaJ4SQk4kCISFkuqBASAg5rHQ6jauuugq//OUv\\\n",
       "YbPZDvnYtWvX4qKLLsK3v/1tzJw5Ez/4wQ9w1lln4cEHHwRwsDr4wAMP4I477sCll16KefPm4Xe/\\\n",
       "+x3Gxsawbt26j+BsCCHk8CgQEkKmCwqEhJDDuvHGG3HxxRfjwgsvPOxjN27cOOFxq1evxsaNGwEc\\\n",
       "nL3l9/urHmOxWLBs2TL+mMkIgoBkMln1QwghJwoFQkLIdEGBkBBySE8++SS2bduG++6774ge7/f7\\\n",
       "4fF4qm7zeDzw+/38fnbbVI+ZzH333QeLxcJ/Ghsbj+Y0CCGEEELIJCgQEkKmNDw8jJtvvhmPP/44\\\n",
       "tFrtST2W22+/HYlEgv8MDw+f1OMhhJzZqEJICJkuaOwEIWRKW7duRTAYxFlnncVvK5fLeP311/Hg\\\n",
       "gw9CEAQoFIqq53i9XgQCgarbAoEAvF4vv5/d5vP5qh6zYMGCKY9Fo9FAo9Ec7ykRQsgRoaBHCJku\\\n",
       "qEJICJnSBRdcgPfffx87duzgP4sXL8ZVV12FHTt2TAiDALB8+XK89NJLVbetX78ey5cvBwC0trbC\\\n",
       "6/VWPSaZTGLTpk38MYQQciqg6iAhZDqgCiEhZEomkwlz5sypus1gMMDhcPDbr7nmGtTX1/M9hjff\\\n",
       "fDNWrVqFn/zkJ7j44ovx5JNPYsuWLXjkkUcAgM8xvPfee9HZ2YnW1lbceeedqKurw5o1az7S8yOE\\\n",
       "kKkcTdijUEgIOZ1RICSEHJehoSHI5R8sNlixYgWeeOIJ3HHHHfjOd76Dzs5OrFu3ripY3nbbbchk\\\n",
       "Mrj++usRj8excuVKPP/88yd9nyIhhDAUCAkh0wUFQkLIUXn11VcP+WcAuPzyy3H55ZdP+RoymQz3\\\n",
       "3HMP7rnnng/56Agh5MNBgZAQMl3QHkJCCCGEEEIImaaoQkgIIYQQUoMqhISQ6YICISHkjGY0GtHc\\\n",
       "3HyyD4MQ8iEaHBxEOp0+oe9BgZAQMl1QICSEnNGam5tx2WWXnezDIIR8iP785z9j165dJ/Q9KBAS\\\n",
       "QqYLCoSEEEIIITUoEBJCpgsKhIQQQgghNSgQEkKmC+oySgghhBBCCCHTFFUICSGEEEJqUIWQEDJd\\\n",
       "UCAkhBBCCKlBgZAQMl1QICSEEEIIqUGBkBAyXVAgJIQQQgipQYGQEDJdUCAkhBBCCKlBgZAQMl1Q\\\n",
       "l1FCCCGEEEIImaaoQkgIIYQQUoMqhISQ6YICISGEEEJIDQqEhJDpggIhIYQQQkgNCoSEkOmCAiEh\\\n",
       "hBBCSA0KhISQ6YICISGEEELIJCjoEUKmA+oySgghhBBCCCHTFFUICSGEEEJq0JJRQsh0QYGQEEII\\\n",
       "IaQGBUJCyHRBgZAQQgghpAYFQkLIdEGBkBBCCCGkBgVCQsh0QYGQEEIIIaQGBUJCyHRBgZAQQggh\\\n",
       "pAYFQkLIdEFjJwghhBBCCCFkmqIKISGEEEJIDaoQEkKmCwqEhBBCCCE1KBASQqYLWjJKCCGEEFKD\\\n",
       "BcIj/Tla7e3tVc+32+1V9wuCMOE9Lrvssg/r9AghhKNASAghhBBS40QHwnQ6DQCwWq2T3q/X6wEA\\\n",
       "NpsN5557LgDgL3/5CzZv3nxsJ0QIIVOgQEgIIYQQUuNEB8JAIABRFBGLxSbcJwgCKpUKFAoFotEo\\\n",
       "XnvtNfzhD38AAJx//vnHfW6EECJFgZAQQggh5BRy3XXXAQCWLVvGb7vqqqsAfFBZJISQDws1lSGE\\\n",
       "EEIIqXEsTWU2bNhQdXtXVxcWLFhw1O+9detWAMCqVauO+rmEEHK0KBASQgghhNQ4lkC4du1arF27\\\n",
       "tur2SqVyQo6PEEI+LBQICSGEEEJqHEsgvPnmm7FixQp+e1dX1zG996JFi7B371689tprx/R8Qgg5\\\n",
       "GhQICSGEEEJqHEsgXLFiBT7/+c8f93v/6le/wuOPP45Nmzbx2/70pz8BAIxG43G/PiGESFEgJIQQ\\\n",
       "QgipcaIH0z/77LP44Q9/yP+cTCZx9tlnY/78+XjooYcgl8tRLpfhcDgwb948vPrqqwCAl19++ajf\\\n",
       "ixBCDoUCISGEEELIR+ymm27CwMAA/3O5XMaGDRuwYcMGPPTQQ8hms9BqtYhGozwMrlmzBkuWLDk5\\\n",
       "B0wIOWNRICSEEEIIqXGiK4T9/f2HvF+j0UAUxaN+XUIIOVoUCAkhhBBCJnEsQY8QQk43FAgJIYQQ\\\n",
       "Qmqc6AohIYScKigQEkIIIYTUoEBICJkuKBASQgghhNSgQEgImS4oEBJCCCGE1KBASAiZLuQn+wAI\\\n",
       "IYQQQgghhJwcVCEkhBBCCKlBFUJCyHRBgZAQQgghpAYFQkLIdEGBkBBCCCGkBgVCQsh0QYGQEEII\\\n",
       "IaQGBUJCyHRBgZAQQgghpAYFQkLIdEFdRgkhhBBCCCFkmqIKISGEnMLOPvtslMtlFAoFyOVy1NfX\\\n",
       "46KLLsJFF10Er9cLtVoNmUwGURQBAJVKBcViEalUCn19fRgYGIBcLseMGTPQ1NQEo9EIhUJRVdFg\\\n",
       "/y6KYtUPq5DI5ZP/3WHt49ltlUoFlUoFMpkMCoUCcrl8wmuwYy6Xy4jH49i/fz9GR0eh0+ng9Xph\\\n",
       "sVj4uVUqFRQKBcRiMfT392PPnj3o7e3F8PAwRkdHEQ6Hkc1mUalUIIoi5HI5DAYDVq1ahdtvvx1z\\\n",
       "586FVqvlx1CpVJDP5+H3+7Fnzx709/ejUCjAbDbDarWiUChg8+bNeP7559HX14dKpQIAUCqV0Ov1\\\n",
       "cDqdcDgckMlkCIfDiEQiyOVyKJVKVec3WdVIJpNBqVRCq9XC5XKhvb0dbW1tMBgMiEaj2Lt3Lw4c\\\n",
       "OIBoNIpCocDPqfY1pNdTev2l9+t0OjgcDtjtdpTLZSQSCWQyGQSDwcN86whAFUJCyPRBgZAQQk5h\\\n",
       "arUa5XIZwMFfOlUqFRQKBb+fBTcpuVwOlUoFu92OYrEIhUIBi8UClUo16S+utYHjeEwVIic7Tkah\\\n",
       "UMBgMMBut0Ov18NkMvEAxwJRqVRCLpdDKpVCOp1GoVCASqWCyWTiYYz9MOVyGcVicdLzY8G1WCwi\\\n",
       "l8tBEAQolUrodDoUi0UUCgV+3aXHXqlUIAgCMpkMRFHk781C42TvVXveLAjncjnEYjEEg0GYzWak\\\n",
       "02kIgsBf61DXVxripyKKIgRBQCKRQLFYRCaTQaFQmPLxpBoFQkLIdEGBkBBCTmEulwvlchmCIEAm\\\n",
       "k8Hj8cBqtU4IhdJ/ymQyqNVq2O126HQ6yOVy6PV6HgiP5JfX2uBxJFjVTy6XVx1L7XGy29jrs/Cq\\\n",
       "1Wqh1Wqh0+mgUCh4ZZCFsFQqhWg0imQyCZlMBqfTyat1g4ODSKfTSKVSEEURKpWKByIW7KRYlTAe\\\n",
       "jyMcDiOfz/MqbLlcRiqVmhAmWSVOGjQnq+BJH8uuSW2IK5VKSKfTGB8fhyAIMJlMKJVKSCaTVaF2\\\n",
       "ss9EWnGd6v3ZexWLRSSTSRQKhaqQSw6PAiEhZLqgQEgIIaewhQsXolwuo1QqQalUwufzobGxEWq1\\\n",
       "esJSQYYtS9Tr9dBqtfzPtUtFpWqXfR7uF9zJljFO9s/ax9fezsKrxWKB0WiEUqnkYadUKvEAUywW\\\n",
       "eWhTqVRwuVzw+Xyor6+HUqnE4OAgRkdHsW3bNoRCIajVaphMJgiCwCt4tVW+YDDIl9Xm83lYLBbk\\\n",
       "cjmIoohQKARBEKqOUy6X8yqi1Wrl15S9PvuntFrI3lNaMWUhjlUo0+k01Go15HI5CoXChCqhdEkw\\\n",
       "OwZWPa2tJrJlumq1mi+5Za9ZKpU+1GrwmY4CISFkuqBASAiZ0n333Ye//vWv2Lt3L3Q6HVasWIH7\\\n",
       "778fM2bMOOTznn76adx5550YGBhAZ2cn7r//fnzqU5/i94uiiLvuugu//OUvEY/HcfbZZ+MXv/gF\\\n",
       "Ojs7T/QpnXbOO+88HiwUCgX0ej3MZjNUKhUqlQrK5fKkv7iyKhJ7rlwun/Rxk+0DPNQvt5NVzKQO\\\n",
       "9frsuGr3L7KAU7s0EwBUKhWUSiVUKhW0Wi3sdjtUKhVsNhtmzJiBxsZGGAwGFAoFZLNZ7Nq1C2+/\\\n",
       "/TaCwSDcbjeKxSKy2Sz0ej0PVoIgwO/3Y+vWrdi2bRvGxsZQLBZhMBgQCoUgk8kwMjLCw6G0kmky\\\n",
       "mdDS0oLZs2fDbDZjbGwMO3fuxPDwMJLJ5ITKIXs+C6QsGEorjaz6y65BuVyeNOhJQ6n0GknvZ98R\\\n",
       "u90Og8GATCaDWCw24XMgh0eBkBAyXVAgJIRM6bXXXsONN96IJUuWoFQq4Tvf+Q4++clPYvfu3TAY\\\n",
       "DJM+Z8OGDbjyyitx33334ZJLLsETTzyBNWvWYNu2bZgzZw4A4Ec/+hF+/vOf47e//S1aW1tx5513\\\n",
       "YvXq1di9eze0Wu1HeYqnvK6uLgCTL+Fke+ZYUGANXKTBQxrApgpr5XKZhxAWKiarJk4WBqUhsvb4\\\n",
       "pK8vrdBJHzfV89if1Wo1dDodTCYT3G43NBoNAMDhcPDmM2wpbKVSgcvlQmdnJ3p7exGPx1GpVBCJ\\\n",
       "RPjrlMtl+P1+vPzyy3jhhRfQ29vL9wOqVCqEQiEA4PsU2TEqFArodDrU19fj7LPPxooVK2C32xGJ\\\n",
       "RNDY2IiXX34ZBw4cQCKRmLAsU3rdpNdBen1qTRa0FQrFhOqg9PorlUpYrVbMmjUL8+fPh0KhwM6d\\\n",
       "O7Fz507kcrkJ70EIIYQAFAgJIYfw/PPPV/35scceg9vtxtatW3HuuedO+py1a9fioosuwre//W0A\\\n",
       "wA9+8AOsX78eDz74IB5++GGIoogHHngAd9xxBy699FIAwO9+9zt4PB6sW7cOV1xxxYk9qdOM0WgE\\\n",
       "UN0JtFQqoVAo8GYoLMxotVpoNBoekI40DAqCwBuaqNVqGI3Gqq6cteFksgrYZBUStoySLVdUKpXQ\\\n",
       "aDT8dQ/X4EbakRM4WC10OBy8Csb2RbLwqlAoYDab+XLRkZERhMNhjIyMIJ1OQ6vVIh6PY+PGjfjH\\\n",
       "P/6BAwcOIJPJ8EAml8uRTqcBoKpBDasOms1mzJgxAx/72Mcwa9Ys6PV61NfXQ6/XI5PJIJVKIZ/P\\\n",
       "o1gsTtoYZrLrKL2Gkz1GWhlUqVR8GWi5XK4KgyqVCk6nE6tWrcLnPvc5tLS0IJPJwGKxIBgMIp1O\\\n",
       "T7rElEyNKoSEkOmCAiEh5IglEgkAgN1un/IxGzduxK233lp12+rVq7Fu3ToAQH9/P/x+Py688EJ+\\\n",
       "v8ViwbJly7Bx48YpA6EgCFV7upLJ5LGexmmFLQ9kKpUKb3ySTqcRiUQgCAI0Gg0sFgusVisMBgMP\\\n",
       "DrVBQxpCWBgMBoPo7e1FJBKBw+FAV1cX3G43rzpKsTDIqopTLUdlYTCTySAej6NQKMBoNMJms0Gl\\\n",
       "Uk16rtLXZpU0FnbkcjnUajU/f1bFrA1UcrkcGo0GdrsdgiAgFothcHAQO3fuRCaTwfDwMHbt2oWh\\\n",
       "oSGkUqmqfXXSaqX0NvbeDocDM2fOREtLCx+LodFo0NzcjIULF2L//v0IBoPI5XJVVb/JPgPpP6cK\\\n",
       "E9IlohqNhgf1QqGAZDLJr79KpYLb7cbq1atx1VVXoaurCxqNhi8X3bFjB8LhMN+zSI4MBUJCyHRB\\\n",
       "gZAQckQqlQpuueUWnH322Xzp52T8fj88Hk/VbR6PB36/n9/PbpvqMZO57777cPfdd1fddtdddx3V\\\n",
       "OZwppGMLotEo4vE45HI5bDYb/4Wf7SGUhhEW0liTmkKhgGAwiC1btmDDhg0Ih8Ooq6vDJz7xCSxd\\\n",
       "urSq0lj73oVCgY+0UKvVE7qesuPz+/3o7++HIAhoaGjgVczavYTSzpss7BuNRuh0OiiVSl4BlIYp\\\n",
       "tgdPoVDw0Mh+VCoVDAYDVCoVgsEgenp6EAwGEY1GEY1GeeOWyfbV1QZh1qDH6/Wira0NNpuNn4Nc\\\n",
       "LofZbEZbWxva29uxd+9eJBKJqj2RLGDWvldtpZTdz6p4LOxZrVbU19fD5/NBpVIhHA5jdHQUyWQS\\\n",
       "crkcXq8Xn/zkJ3HZZZehs7MTer2ev57P50NXVxdGR0chk8lo6ehRoEBICJkuKBASQo7IjTfeiJ07\\\n",
       "d+LNN988Ke9/++23V1Uek8kkHn300ZNyLB8labVqqvvY0lHWgVOn00Gj0fBQw5YYCoKAZDLJZ/nF\\\n",
       "43Hs2rULr7/+Onp6epDL5TA0NASj0Vg1xF46PoGNgmBjGbRaLZRK5YSgJggCIpEI9uzZg3fffZc3\\\n",
       "d3G5XDCZTFWVTxYGQ6EQ3n77bezZswdWqxVLlixBe3s7jEZj1fJVFmyz2Syy2SyUSiVfKioNsWyJ\\\n",
       "ZbFYRDwe5/P4tFotrzRKu2+yAKbT6XiYrFQqUCgUcDqd6O7uRnNzM/R6PV+mKooiNBoNPB4POjo6\\\n",
       "YLPZEAgE+HJT1omUhVdp2GPBk4VZFtLZc1k31fnz52PRokVoaGhApVLB6OgoDhw4gHg8DqvVimXL\\\n",
       "luHcc89FU1MTPzZRFPkS2o6ODoyPj0Or1fIlseTIUNAjhEwHFAgJIYd100034b//+7/x+uuvo6Gh\\\n",
       "4ZCP9Xq9CAQCVbcFAgF4vV5+P7vN5/NVPWbBggVTvq5Go+ENRaaTqbp6KhQKaLVamEwmZDIZAB/M\\\n",
       "1mP72NiyUVEUUSgUEI/HMTg4iMHBQYyPj/PK2f79+xGNRnkwGhgYQCAQQGNjIzQaTVWFiwW7WCyG\\\n",
       "UqkEq9UKnU5Xta+QLRUdHR3F+++/j507dwI4+BnOmjULHo9nwpy+bDaLt956C4899hiGh4fhdrtR\\\n",
       "qVTgdDr5XEJGOjbC7/dDp9PxACud0ccawRgMBn6tHA4HzGYz5HI5otEo/H4/X9LKmrK0tbWho6MD\\\n",
       "VqsVyWQSuVwOTqcTS5cuhc/nm7AclwXStrY2NDQ0YGRkhJ+bXq+HRqNBoVBAJpPhFVwWPM1mMw/I\\\n",
       "6XQaoVAImUwGMpmMh+JPfepTmDlzJgwGA8rlMrq6urBw4UIUi0XYbDY0NTXB5XJNuE5s/mRjYyNm\\\n",
       "zZoFg8FAgfAoUIWQEDJdUCAkhExJFEV885vfxN/+9je8+uqraG1tPexzli9fjpdeegm33HILv239\\\n",
       "+vVYvnw5AKC1tRVerxcvvfQSD4DJZBKbNm3CDTfccCJO47Q2VYWQNVZxuVxQKpV85IFWq63qHCoN\\\n",
       "hOl0GoFAAP39/ejv70c0GkUgEEAul+MVM9bFslgsolgsVo21YJW/eDyOYDCISqUClUoFo9HIB8Gz\\\n",
       "sMbea2RkhHfuDAQCfN8ew441HA7jlVdewe7du5FOp5HL5XDgwAEkk0m43W5+LVh1MBaLoaenB319\\\n",
       "fbDb7TwMsrmLoihCLpfDYDDA6XTC6/XCbrejsbER3d3dsNvtKBQK8Pv9GBwcRCwWg06nQ2trK2bO\\\n",
       "nAmv18v34WUyGV6ts1gsVR1YWaVPq9WioaEBCxYsQCAQQCAQgEKhgNVqhdFoRCaTQTQaRS6Xg0Kh\\\n",
       "gM1mQ2NjI5qbm+F0OqFUKvkIi7GxMYiiiPb2dpx//vlYvHgxXC4Xr/x5PB4e3lmwZCFV+p1h+ykd\\\n",
       "Dgf/ixwKhIQQQmpRICSETOnGG2/EE088gWeeeQYmk4nv8bNYLNDpdACAa665BvX19bjvvvsAADff\\\n",
       "fDNWrVqFn/zkJ7j44ovx5JNPYsuWLXjkkUcAHPxl9ZZbbsG9996Lzs5OPnairq4Oa9asOSnneaqr\\\n",
       "DYWs+6Zer4dSqYTBYEAul+PBTqlUVo2kkFYW1Wo138en0+lgsVh4kFQoFPB6vWhvb4fFYgEAHgiB\\\n",
       "g5032b7FkZERFItFyGQyHsLYEktBEJDP55HNZiEIAp/Nl8/nkclk+AB3ts+uUqkgFothbGwM+Xy+\\\n",
       "ahg9ey47/kqlgnQ6jX379mHjxo0YGRlBfX09r2ay6h97PKve1dfXQ6fTYdasWejq6oLZbIZCoeBz\\\n",
       "AMvlMq8osn2LbBmndAknW5Ja+/mwZaUf+9jHUC6XMTg4CLlcDpPJBLVajUQigUAggGw2C6PRyINn\\\n",
       "c3MzzGYzACAYDMLr9eL9999HNptFZ2cn2traeBVWOq+RdQxlzXek/86OiS2b1ev1vCEN7SE8clQh\\\n",
       "JIRMFxQICSFT+sUvfgHg4HB0qd/85jf44he/CAAYGhqqajqyYsUKPPHEE7jjjjvwne98B52dnVi3\\\n",
       "bl1VI5rbbrsNmUwG119/PeLxOFauXInnn3+eZhBOggW62rl9LBxoNBoYDAYUi0UewliQYnP0WAMX\\\n",
       "vV7Pl+mazWY+KiEej/MqWENDA+bMmcMrj9I5eWzfnt/vx759+5BIJBAOhyEIAlpaWmAymfh+OeDg\\\n",
       "ElG2x5CNn0gmk8jn81X7Atm+OhbGZDIZjEYjDAbDhIY2hUIB4+PjeOutt7Bp0yYkk0kkk0l0dnby\\\n",
       "7qLsOSzsVSoVWK1WeL1etLS0wOFwVI3VkF7r2o6p0v2R7FpORqFQwGAwoKOjAzqdji/BBYB8Po9I\\\n",
       "JAKPxwNBEGCxWPiyVJfLxb/3LpeLh/yRkRH+ubJQzDqrsmsh/ZxZlZLtHWXnwWYXAkAmk0E4HD7K\\\n",
       "b+D0RYGQEDJdUCAkhExpqmYmUq+++uqE2y6//HJcfvnlUz5HJpPhnnvuwT333HM8hzdtTDYGgS0J\\\n",
       "ZL+IsuqVXC7nDV8EQeBVIhZYWFfMxsbGqm6jhUIBMpkMBoMBVquVV9Ck1blyuYxsNouRkRHs2rWL\\\n",
       "70EcHR3F/Pnz0dbWxsOWKIowGAwwm81QqVQ8FO3fvx+tra3Q6XQ8FIqiCJPJhNmzZyMYDCKZTMLr\\\n",
       "9aKhoQF6vZ6fY6VSQS6Xw549e7Bp0yYMDAzwZa27d++GUqnk3WsrlQri8Tj8fj8SiQQ0Gg1cLhfv\\\n",
       "EMo6l7JrKr3WtX8+3HgIdh+rRioUCng8Hn590+k0rFYr7HY78vk8dDodvF4vbDYbjEYj71iq0WhQ\\\n",
       "qVQQCoUQiUR4Ux4WXh0OB98jKe3KGo1GUS6XYbFY4HA4qq4ZOx9BEBAKhTA8PHxGhJc1a9Zg/vz5\\\n",
       "J/Q9KBASQqYLCoSEEHIakI4mqP1lX1rZYt0s8/l8VeMWVilie/5qu4JKl3Eqlcqq5YnSvYHRaBS9\\\n",
       "vb0YGBhAOByGTCbj+/DmzJmDuXPnorGxkc8aZPsRU6kUstks3nzzTX7MHR0dMBgMAACbzYZzzz0X\\\n",
       "BoMBoVAITqcTc+fOhcVi4RUuURSRTqd5CE2n0xBFEclkEn19fVAoFHC5XPB6vSgWixgfH8fAwAAE\\\n",
       "QUBTUxPsdnvVGAtG2vmzdh+e9Nof6rNhj2UzC9kxVyoV3hBJ2tSFVfKk11omk8FkMsFisSCXy6Gv\\\n",
       "rw9DQ0MIBAJYvnw5FixYAJfLBZVKxcN5IBBAb28vstksPB4Purq64PP5+D5H9rr5fB6hUAjj4+PH\\\n",
       "8zWcVigQEkKmCwqEhBByGplsP6H0F1eNRsP3wwHg4YQFhNqh8LXD4GtDEKtEsS6lAwMDvCFNOp3m\\\n",
       "VbtUKoVwOIxYLIaFCxfC5XIhFAohFAohGo0iFouhXC4jkUgglUrxcQ0tLS08LHV3d8Pj8SCdTkOt\\\n",
       "VsNms/FlqOy82XJUVhFl++ZSqRRGRkawZcsWmEwmpNNphMNh5PN5eDwemM1mWK3Wqg6htbMZWTW1\\\n",
       "diRG7fWW/lP6ODafkS3hZNddOgJDrVYjm83yEC6dVSgNk8lkEiMjI7wiGwwGkclksGjRItjtdlQq\\\n",
       "FUSjUQwODqKnpweRSAROpxMqlQoWi4XPhmSvWy6X+RJhcmQoEBJCpgsKhIQQchqSBhXpgHM2joKF\\\n",
       "GlaFqq1+SV9D2phEOkCdhRZBEJBIJNDb24t3330XY2NjvBELG3XB/p29Tn19PSKRCPr6+hCNRpHJ\\\n",
       "ZHiVcWBgAFu2bMH8+fNRV1cHrVbLgxAbrQCgqnrGztNoNGLBggUYGxtDT08PBEGATqeDzWaDQqFA\\\n",
       "f38/stksnzlotVrR3NwMr9fLxztIG7OwfY3ZbBYajQZWq5U32AHAu7Wyc5N2Yq29jqwSmslkoFar\\\n",
       "eUMZaSgHwCu4qVQKJpOJj/Zgr1csFnmIzmazSKVSEASBV4A7OzuhUqkQCoXQ39+Pvr4++P1+jIyM\\\n",
       "QK/Xo6mpCSaTiR8jaywjPS9yeBQICSHTBQVCQgg5DUmDG9tPCHywl4394i9tkjJZVau2+sVuK5VK\\\n",
       "KBaLvNI2MDCAHTt2YNeuXUgkEnxgu7TSxobR9/b2IhqNIh6PY2xsDNlsllfDAPDXZu/J9sWx8MqW\\\n",
       "cEqPHzgYbi0WCz72sY+hubmZzxDMZrOIx+NIp9MYGBhAJBJBLBaDQqGA2+1GY2MjHyMhbQrDBtbv\\\n",
       "378fwWAQDocDnZ2dcDgcvJKaTqeRTCaRSqX4bEAWGqVLWcvlMnK5HILBIKLRKN8fyZbpSruWJpNJ\\\n",
       "PseRjYxgjWXYUlDWfIcNqo/FYjhw4AAsFgsKhQKMRiNCoRAOHDiA/v5+hMNhKJVKaDQazJ49Gx6P\\\n",
       "h38+Wq0WdXV1aG9vRyQS4XMhCSGEEIACISGEnJakg+BZmJpsb2HtD3tubRCUBi9WoSsUCgiHw9i/\\\n",
       "fz927tyJ3bt3IxQKoVQq8QY20n2KLMwlk0kUCgWkUim+l5G9v0qlgt1ux+zZs9HS0sKHqUuDmnRs\\\n",
       "BDtedoxarRZutxsOhwMzZ85EsVhENpvlQYx1HmVhq729HZ2dnXwvIjuOSqWCYrEIv9+PHTt2IBAI\\\n",
       "oKmpCTabDXq9ni+jHRwcxPvvv499+/ZBLpdj1qxZWLx4MXw+Hz8mtuw0mUyiv78fIyMjsNlskMvl\\\n",
       "0Ol0PDzKZDK+dzCVSmFsbAyFQgGiKPI5g2zuYbFY5KMkgIMhOpVKYXR0FFqtFnq9HsFgEAcOHMD4\\\n",
       "+DgPrPv27cOOHTvQ2dnJK5NqtRp1dXVYtmwZdDodXnjhhRP75TxDUIWQEDJdUCAkhJDTkLQyJ60S\\\n",
       "1o5OkFYOpaTVxdqwyB7PKmhjY2MYHx9HMpmsapIirSgCB5d4arVavgSU7Q1kFUGVSgWPx4PzzjsP\\\n",
       "l156KZ8dONUoh8mOj4VflUrF7zcYDDAajfD5fPx9BwYGYDAYcNZZZ6GxsZF36qxtJpNOp/m+xlwu\\\n",
       "B0EQeHdWQRDQ19eHN998E7t27UKlUsHQ0BCf4Wi326FUKlEul5FKpdDf34/t27djYGAAVqsVAGC3\\\n",
       "22E0GvlyXoVCwecu9vb2or+/H36/HzNnzoTD4UAul0M+n4fBYIBGo+GzHgHwpj4sVLJlovF4nHeJ\\\n",
       "DYfDePfdd7Fw4UKYTCZeqbRarZg9ezZcLhe++93vfkjfwjMbBUJCyHRBgZAQQk4DkzWSYUFKuheQ\\\n",
       "Vddq9wzWBj42rqF2T1ztvkS2h46NVJB2D5XOERRFEWq1Gkajke+LY4EymUwCAHw+H5YuXYrly5ej\\\n",
       "paUFBoOhquOntPOptMFN7ZiN2k6gMtnBGYsajQYzZsyAyWSC3++HTCZDXV0dHwUh/aWdVTRtNhsa\\\n",
       "GxthMBhQV1cHnU5XVflks/vC4TAKhQLK5TLcbjesViu6urqg0+kgCAL6+/vx+uuvY+PGjQiFQjAa\\\n",
       "jQCApqYmOJ1OHqCBg/MABwcHsWvXLmQyGezcuRN79+7F/PnzYbfboVar0dLSgmAwyD8rmUyGQqGA\\\n",
       "WCzGr00kEkE8Hkc+n+d7HHO5HPr7+7F161Y4HA40NzdDr9dDrVbDbrfDZDJ9GF/HaYECISFkuqBA\\\n",
       "SAghp7DapZOMtNHKobqOTqZcLvOGJUajEWazeUL3TdYZU6/Xw+l0olKpwOv1Vu1XZEPRK5UK1Go1\\\n",
       "n4Nns9l4sGLjLPR6PTweD7xeL6xWK69yTVW5ZKGntqtqLen+QjZjkQW9UqnEZw5KAzM7T41Gg7q6\\\n",
       "OixevBixWAwajQZ6vb7qWuv1ehgMBigUCpRKJUSjUWzduhUqlQrxeBxutxvJZBKbNm3Cq6++iv7+\\\n",
       "fuTzecRiMSiVSnR3d6O9vZ3PBmTLVHt6etDX14dsNguFQoFgMIh8Po+lS5fCZrNh8eLFqFQq2Llz\\\n",
       "J4LBIHK5HAqFAhKJBK8GplIpfv3ZtapUKkgkEti9ezcPuD6fDzqdjld2yZGhQEgImS4oEBJCyCmM\\\n",
       "7SGrDUVsCSIzVSiU/qLKwlahUMB7772HUCiE9vZ2dHd3V42jYMsyNRoNbDYbmpub+Ww7tVoNAMjn\\\n",
       "87zZilwuh81m43v79Ho9fz12DGwpJxuHIK1u1i49PVQAnAo7T6VSCZ1OxytqrPun9H4WRJVKJSwW\\\n",
       "C1QqFWw2GzKZDG/qwkZaWCwWtLS0YHR0lI/fGB4e5nMCvV4vcrkc9u7di4GBASSTST4LcmxsDO+9\\\n",
       "9x6WLFkCi8XC9w4eOHAAfX19iEQiKBaLPNQPDQ1h0aJF8Hg88Pl8fLnp5s2bMTQ0hFwuh1KphFKp\\\n",
       "xJeqSj9ntiRVFEWEw2Hs27cPLpcLRqORL82dankumYgCISFkuqBASAghpzBWYZM2kJGGmsl+EZUO\\\n",
       "r5feBhwMmJlMBq+99hrGxsaQSCRQV1fHq2DSvXosELLqoVar5Xv3stksotEoUqkUNBoNXC4XD4OT\\\n",
       "Vf5ql3tOVvlkVTxpM5UjPT9GOhqCjXcoFotQKBR8ryELRtKRDGw/4fj4OB9lwc53xowZyOVykMvl\\\n",
       "GB4eRiaTwdDQEILBIAwGA2QyGZLJJDKZDP+8gINLQ/v6+tDT0wO32w2tVovx8XHs378fkUiEj+tQ\\\n",
       "KBR8Ca/BYIDT6YRer4fVauUzCcPhMJ9fyM5Po9FAFEXe7ZTt4WSBmM2GTKfTsNls/PocS+A+1fz5\\\n",
       "z3/Grl27TvZhEELIGYECISGEnMLYvL9CocAbsxgMhkmbpBwOG4+QTCZx4MABhEIhOJ1OpNPpCSGB\\\n",
       "LRk1GAy8qsf+yfYLAuABxOl0wmg0TronkP07e39p2JMGRensQ1b9Yq9X2xlV2vym9r3Yn9meu0gk\\\n",
       "gnK5DI/Hg4aGBt4htXa5aTQaxbZt2zA+Ps5HNXR0dKChoYFf81KphL6+PmQyGT4egjWKYfv4pN1a\\\n",
       "o9Eodu7cibq6OlitVgwMDCAQCPClnuwcVCoVrFYrHA4HTCYTD6Td3d3o6+vDnj17EI/HebjV6/V8\\\n",
       "PyALiSqVClqtFgaDAXa7HTabjVcSpXsyyZGhCiEhZLqgQEgIIacwFpByuRwfns6WXzK1y0KnGi/B\\\n",
       "ApcgCHy/HBvWXostQWThic0IZOGHHQPbH8hGK9QOPpfuCWRD4Fm3UjY+gQ1Mr1QqKBQKyGazKBQK\\\n",
       "fFA9W4I6WeURQNUySHa+5XIZmUwGw8PD2LdvH/L5PGbMmAGr1cobvrDzlMlkKJVKGBkZwZYtWzA0\\\n",
       "NAS5XI6GhgbYbDZ0dXXxwfehUAh+vx/pdBrFYhGlUokv1WThlQVDhUKBfD6Pvr4+vPvuu/D5fBgZ\\\n",
       "GUGhUKhavqlWq2G1WtHa2gqXy8UrkwqFAjabDe3t7fD5fAgEAsjn87yjalNTE6xWK+9IKu0oq9Fo\\\n",
       "YLVa4XQ6eXinQHh0KBASQqYLCoSEEHIKYwGLDThnfz7cL/eTVcxYFUuj0WDhwoXI5XJYtGgR7Hb7\\\n",
       "lA1egA9+2a0d2cD2s0kfN9USz1KphPHxcWzatAm7d+9GqVSC1+tFZ2cn6uvrYTAYUC6XEY/HeeDS\\\n",
       "aDTwer3wer2wWCy8KiptOsPm7Ekrk2zGYDQaxZ49e7B9+3bkcjnkcjm0tbXB5XJNCM6FQgEjIyMY\\\n",
       "GBjA+Pg4RFFEMpnEggUL0N7eDqvVirq6OrS0tGDHjh2IRqN8VqB06SkLX+Vymb9HOBzG3r17kc1m\\\n",
       "+UgJs9nMw7LZbEZHRwdmzZoFq9XKPwu2NJS99+joKPL5PBwOB7q7uzFjxgxeeWRNfFijn3K5DJVK\\\n",
       "BZPJBK1WWzWmpDa0k8lRICSETBcUCAkh5BQmrYyxvXysoidtyCLdGzbZP1kYAACDwYBVq1ZBpVLB\\\n",
       "7XbDZDJNaDYiXb5ZqVT40kMAfAlrMplEIpFApVLhwWOy/X1sWP3bb7+NJ598Er29vSiVSrwq1t3d\\\n",
       "DY/HAwAIBoMYGxvjSzEdDgcaGxvR3NwMp9MJnU7HK6blchkWiwX19fWw2+38WrEq6Pj4ON5//33s\\\n",
       "3r0b+XweuVwOs2bNQnNzM99/x44vnU5jeHgYsVgMmUyGD6bv7e3FokWL+PJLVrGULmVlFTmfz4eW\\\n",
       "lhYYjUYkk0kEg0Ekk0nk83mMj49Do9HAbDajrq6OB1aZTAafz4fly5ejra2tKryx5jTsMV1dXSiX\\\n",
       "y/B6vWhvb+fXxGw28woh+2xYQx21Ws0b/Ei/A+TwKBASQqYLCoSEEHIKY8sR2R4+6dgH6eD2qUKg\\\n",
       "9IeFAa1Wi5aWFqhUKj6WoXaZKRsmz2bcscoXW9YZj8cxNDQEv98Pt9sNo9HIq1S1S1jZgPcXXngB\\\n",
       "O3fuRDweR7lcRjgcxtjYGHbv3s2b1wiCgEwmw9+XdQ21WCy86ybrBFoqleBwOHDWWWdh+fLlsNvt\\\n",
       "sFqtEEURqVQKw8PD6Ovrg9/vhyAIyGaz+Pvf/46Ojg7Mnj0bWq0WwMF9mmNjYxgaGkImk6mq/AUC\\\n",
       "AYTDYbhcLuTzeR60pEs+FQoFjEYjZsyYgZUrV8Lj8SAej2PHjh3YtWsX4vE4crkcMpkMnE4nWlpa\\\n",
       "4PF4kMlkoNFoUF9fj+7ubjidTj6qgx1XMpmEIAh8nqJWq4XFYoHFYuEhXKlU8lmS0uWrrGENW8bK\\\n",
       "9mWSI0OBkBAyXVAgJISQU1jtvMHacAdMHDwvrXyxx0obi8jlct4gRroEVdr4hQWzbDbLX4s9P5lM\\\n",
       "ore3F++//z4PhBaLBUajkXfGZCEkl8thcHAQ69evx/vvv49kMskbqhSLRQiCgFQqBb/fD5VKVVUd\\\n",
       "kzZqYU1TWHWULcnUaDTYv38/wuEwurq6MG/ePOj1esRiMfj9fkQiER7yCoUC3nzzTXi9Xuj1ejQ2\\\n",
       "NkIulyMUCuG9997D2NgYD3wM2/uYz+eRTqeRSCQgCELVPkG1Wg2z2YyWlhZ0dXXB7XYjm81CFEWk\\\n",
       "0+mqrqlsGSzbF8m6idpsNmi1WpTLZeTzeR4Go9EoRFFES0sLDAYD7yDKluuyaikL7axBDguItZXG\\\n",
       "SqUCnU53gr+1hBBCTicUCAkh5BQmrTxI94GxkAegak9YbVWQVfpY5072eGmAlHbxZGEwlUohkUgg\\\n",
       "n89XzR/MZrMYHh7Gu+++i56eHmQyGWQyGfh8Pl7h0mq1qFQqSKVS6OnpwfPPP4/XX38dgUCA7zmU\\\n",
       "BlsWWFjVTRp+pd0xJxtbwRq3iKKI3t5elMtlNDc3IxaLIR6P8y6tLGCGQiE899xz0Ol0uPDCC2Ey\\\n",
       "mdDf348dO3YgmUwCAA9TBoMBPp+P7/fL5XK8YietEmq1WpjNZpjN5qomOXV1dWhra+ONcthSU9ZE\\\n",
       "hoVonU7Hr2+hUEA+n0cikUA0GkWhUIDVauX7KBUKBQqFAlKpFGKxGLLZLB8JwjqhqtVqqNXqqr8I\\\n",
       "kI7fsFgsJ+z7eiahCiEhZLqgQEgIIae4Y/llk4W7QqHAQ1uhUOANUNhSQ+lywlKphHw+XxU2RFHk\\\n",
       "gTOdTmN0dBT79u1Df38/kskk1Go1TCYTn3nHwqbf78emTZvw2muv4cCBA0gmk7xKxUZXTLakVToj\\\n",
       "UHoukw2tZ8eezWYxMjKCXC4Hq9XKu5QmEokJzWOKxSLGx8fx/PPPI5lMor6+HqFQCKOjoxBFke/h\\\n",
       "MxqNqK+vx/Lly9HY2MiX65ZKJV5hZf+02Wy8m6cgCLwCajAY0NLSAgCIx+MAwI9X+lmwTq6sGplK\\\n",
       "pfgyU51OB4fDAbvdzit7crmcN6iJRqN8fiEA3mCHzYssFov88xcEAQBQX19/1N+n6epEBb1QKAS3\\\n",
       "2111G/tcpR2ECSHko0CBkBBCTnG1HUNZ5eJQXT1ZeMlkMggGg7zBCdtXxkIIexxrupJOp5FKpZDP\\\n",
       "5yGXy6HT6aBUKvkIh/7+fvj9fj6o3el0wmQywW63Q6PRIJ/PIxQKYePGjVi/fj36+vr4kkZWaWTB\\\n",
       "jw1jr933CKBqjx7raDrZLD1W3RQEAYlEAvv27ePLM0OhUFXIZK9fKBQwOjqKTZs2wefz8efr9XoY\\\n",
       "DAZYLBa0tLRg4cKFWLZsGaxWK4rFIiwWC28cYzAYIIoiTCYTnE4nGhsbodfrkc1mkUgkoFKpoFar\\\n",
       "UV9fD6PRiGg0ypevsuCs1+thNBqrArG0e6rJZOLLSdnnwAI6q8AGAgEUi0VYrVbo9Xre/Ea65zOX\\\n",
       "y6Gvrw8jIyPIZDJYtmzZh/sFPUOdyAqh1+sFALhcLlxyySX4y1/+gmQyCYPBwPeQEkLIR4UCISGE\\\n",
       "nMLYMs/a0Q+sEif9kYYlthctFothaGgIAwMDCIVCSKfTfMg9W05YKpX4Prl8Po9SqcTHHTgcDqjV\\\n",
       "aoTDYfT29mJ0dBSZTIZX09i8vo6ODtTV1UEmkyGXy6FUKvHGLywM6nQ6Pvcwk8nwDpzSEQ1sr6DR\\\n",
       "aITZbIZSqeQhi1UspUtIpWMnAPAh9KIoIhwO86WoLEwx+Xwefr8f+XyeL/G02WxwuVzo6urC/Pnz\\\n",
       "0d3djbq6OigUCgiCAI/HgyVLlqCpqQn5fJ5XWlm1kC3njMfjMBgMMBgMvLrncDig0WjQ19eHeDzO\\\n",
       "wyQLcuzzVCgU/LoqlUpYLJaq+9n5F4tFJBIJPuReFEV4PB7+POn5hkIhvPXWW9ixYwfi8Thuv/32\\\n",
       "E//FPQOcyEDI/tIiGAwCAH79619DJpPx/94JIeSjRIGQEEJOYblcjgclFjrYksrapZXSwFAqlZBO\\\n",
       "p+H3+zE4OIj+/n4EAgEkk0m+hFDamITtNSyXy7wyWC6XYTKZoNFo+OuxDqDAB1W8+vp6NDY2wuFw\\\n",
       "8PEYS5cuRX9/P9/vxkZctLS0wGq1IpFIYP/+/bxqxZZiarVauN1uzJ49G3PmzIHJZMLQ0BA2bdqE\\\n",
       "AwcO8CYtbLml0WjkxyiTySAIAvx+f9WAe/ZYqUqlgkwmg3K5zLuYOp1OdHZ2YvHixeju7obL5YJe\\\n",
       "r+dh1eFwwGQyYe7cuVVjJ4rFItLpNCKRCGKxGFKpFORyOSwWCw+1bM5iJBJBPB5HNpvlgVn6+bJQ\\\n",
       "qNPpeNMZ1myHkS4FjcVivLrJXot9R9j3oLe3F2+88Qb6+vr4slFyeMcSCDds2FB1e1dXFxYsWDDh\\\n",
       "8WyJ8Gc/+1n87W9/w8qVKwEAer3++A6aEEKOAQVCQgg5hQUCAV4102q10Ol0VaMiaoMC8EFnTDbk\\\n",
       "3e/3IxQKIRKJIJlM8iHtrPOmtOkMW5LIXsvtdqOurg5arRbDw8Pw+/1VobNSqfDgw/bfKZVKLF26\\\n",
       "FBqNBm1tbRgcHIRCoUBraytmzpwJt9sNQRCwZ88evPHGG9izZw9SqRSUSiXq6+tx7rnn4hOf+ARa\\\n",
       "W1uhVCoRDAZht9vx9NNPY3h4GMVikVcwW1pa+Otls1mEw2EkEgl+fmzJqHSvnjQEZ7NZVCoVfk09\\\n",
       "Hg8aGhr4nj32izsLuiyoSWdBFotFaLValEolRKNRPk5CLpdDo9Hwn1KphEgkgnQ6zauw0q6gAPhy\\\n",
       "UGn1szb4M9LKrnQchrRiLAgCenp6MDQ0xJcMkyNzLIFw7dq1WLt2bdXtk81+jMVisFgsWLduHX+u\\\n",
       "XC5HJpP5EI6cEEKODgVCQgg5he3atYtXjBwOBzweD18SOBm2F61YLPLgxxqdsPDHQhL7ZbVYLPLq\\\n",
       "IHsNALDb7ZgzZw7a29vR0dGBTCbD9w+y5aaFQoGHLbasUS6Xw+FwYNmyZWhtbeX73Ox2O1wuF99/\\\n",
       "193djXnz5mHr1q0YGRmBwWDAvHnzsGjRIvh8Pj4n0GKx4IILLsDevXuRSqWQy+VgsViwYMECPn9w\\\n",
       "ZGQEY2NjyGQyiEajPOSy49HpdLDZbNDr9bzhDKsQsn17KpUKJpMJBoOBj3AAPpi9yPZfSqu0rHpY\\\n",
       "Lpf58bLrLA2iKpUKNpsNra2tEEWRzyRkFcDaJaHAB91Oa7GKp06n46MqWEiVhke2X3J8fLzqXMmJ\\\n",
       "c/PNN2PFihX8z11dXZM+jjX2MRqNWLx4Md555x1ks1nodDrkcrmP5FgJIYShQEgIIaewTZs2QS6X\\\n",
       "Q6/Xo6GhgQ9UZ9UuZrJunUajEV6vF+l0mi/3ZMtAHQ4HgIN77sbHxxGLxaqG0Lvdbpx33nk455xz\\\n",
       "YLfbUalU0NDQAKVSib/+9a+IRCIADo6hYMtapT8ajYbP52ttbeVLUaWzD61WK+rq6rBs2TKUSiXe\\\n",
       "dIadGwtICoUCs2fPxhe+8AUYjUak02mcddZZuOCCC9DQ0ACZTIaxsTH09/cjEonwfVnSMNjY2Igl\\\n",
       "S5agu7sbGo0G4+Pj6OnpwfDwMPL5PMxmM9xuN4xGY9U8xEqlwrurRiIR2Gw21NfXw2w2Q61W8/Nl\\\n",
       "y1ddLhcA8L1/LKixzqXNzc1wOBzI5XJQKpW84isNn9LmOdLPVLp/1Gw2o729ne9ZZM19pCNI2DWY\\\n",
       "6i8PyKEdS4VwxYoV+PznP3/Yx6fTaahUKqRSKX4bG6FCCCEfNfp/CUIIOYUVCgUepNiogck6bkq7\\\n",
       "VAIHq0tmsxl1dXV8aSRrhGIymbB48WI4nU5kMhns27cPO3fuxNDQEHK5HMxmM5YtW4Zly5bB4XDw\\\n",
       "yldzczMuueQS7N+/H5s3b+b789gcQGBicw22LJIFmtpfsqXLJdnzpY9h/67X6zF37ly+DHLGjBlo\\\n",
       "bW3le/xYCG5pacHu3buRTqcBgI+F6O7uxooVK9Dd3Q29Xo9cLoeFCxfiwIEDGB8fR7lchsvlgtFo\\\n",
       "5EGbje5gYy327t0LuVyO7u5uzJ49Gy6Xi4dC1jXU6/XCYDBAo9FAr9dXLeFkDWPYYwFMWm1k7yv9\\\n",
       "jKWD5mUyGXQ6HTweD0qlEhKJBJ9DKO2myh7X3NwMo9FI+wePEs0hJIRMFxQICSHkFGY2m3mVi1Wv\\\n",
       "pOGP/SLK/sxCBAsfVqsVgiAgGo0iHA5DFEW4XC4sWLAAjY2NUKlUOPvss9Hf34/33nsPgUAALpcL\\\n",
       "K1euRHt7Ow8wwMGGF7Nnz8Yll1yCYDCI8fFx6PX6CR1OGekvydLKVe0vz7WNcSZ7HdaUZtGiRSiX\\\n",
       "y7wCx7ppGgwG2O12dHZ2or6+HoVCAaVSCVarFbNmzcLKlSsxZ84cuN1uqNVqlMtlOBwONDQ0IBQK\\\n",
       "8ZmKLpeLN6hh15U11BkeHkYoFMLw8DAKhQKWLl0Kh8PBw5pGo4HdbufBjO3/k2LLSKXhjmFBrlwu\\\n",
       "QxAEvkRVq9XyuZEsPKpUKlitVshkMlitVgDgcwql4Vyv12Pp0qXYuHEj3n33XWSz2cN84whzogNh\\\n",
       "sViE2+3GJZdcgr/97W+0nJcQctJQICSEkFOYz+fjS0adTievYLFh8kB1GJRWldi8QbYsEQCvLlqt\\\n",
       "Vj470OFwwOfzYfbs2chms9Bqtfy92N429npWqxVnn302Dhw4gLfffht2ux0Wi+WQvxAf7r7aSudk\\\n",
       "j2ehWKFQ8D1z0mNjgYzND7Tb7VCr1Whvb8eCBQswY8YMuFwu3iiGzfpjy1rZsleDwcCDJltyyh6j\\\n",
       "0WiQTqeRzWb5fkCLxcIfy/6pUqkmhPXJKqNTzVSUDpNnYddsNkOv1/OQyc7XYrFAo9HwPYsAeHWR\\\n",
       "dW2dM2cOrrnmGqxfvx6Dg4NTfhak2okMhH/961/xuc99DqFQCL/5zW/47bt27Tqq1yGEkA8DBUJC\\\n",
       "CDmFNTQ08KYyFosFJpOJd8pkjVNYwxO2LJEFJRYO2YD6UCiEsbExCIKAdDrNQwwLPazZC1vGKR0O\\\n",
       "z4KaSqWCz+fDOeecg1KpBJ1OB7fbPWHv2tGarMJYS1pdk54fm7mYz+eh0+lw1llnYdGiRfB4PKir\\\n",
       "q4PNZquqsAHgsxFZwGKVTrVaXdVQhi3v9Pl86OjoQDweRzQaRS6X43sygerwwJrMlMtlPk5D2vlT\\\n",
       "uqSTPV66Z5B9XsFgELlcDnq9Hi6XCw6HA0ajkXcwZZ8buzbs/QqFAv/LAKVSCafTiQsuuACzZs1C\\\n",
       "OBw+rs9pOjmRgfCzn/3sEX3nCSHko0CBkBBCTmGsUYhOp+OVKwB8ZEQmk+GjE6SdJ6WDydk+uEQi\\\n",
       "gUQiAVEUq0YQTLZvb7IZh+yfKpUKDocD9fX1UKlUMBgMx7yHShqQakm7ZU72PDYmQxAEJJNJpNNp\\\n",
       "CIIAs9kMu90Oj8fDK2iself7etJzlQZh6fkqlUreMMblcvGOolMtb609Lxaypcde+/jJ5gzmcjmk\\\n",
       "UineyVWj0fDKqHTsCAuHrPrLRmqwvxxgx19fXw+73X7kHw4hhJBpgQIhIYScwtxud9U8O4VCgWKx\\\n",
       "iHg8jsHBQRw4cADRaJTvsWtqaoLP54PFYuHdMsvlMqLRKPx+P4LBIOLxOHbt2oXZs2fDYDBUjYsA\\\n",
       "Jq+M1Fa2LBYL2traoNFoYLPZqpZvHinpnjnpSARpZVL6OBZ2WGWUzVocGBhAb28vMpkM1Go1Zs2a\\\n",
       "Ba/Xy5u+1L4Wex9pEGXhSdrkhd2uUqn4+ZbLZYyNjfE9jFOdMxtVIR19MVkzndrwyX7YLMlEIoFK\\\n",
       "pYJcLsdHh7B9iiqVquqcisUibxxTKBT4MlNW5dRqtVSVOgrUVIYQMl1QICSEkFMYWyLKKkPlchnp\\\n",
       "dBq7du3Cyy+/jN27d/NB6HV1dZg7dy4WL17Mq0lsnxwAPpcwn89j7969iMVifExCbYVQShrICoUC\\\n",
       "UqkU0uk0lEol7HY776ZZq7byJ30P6XD7fD6PbDYLQRB4Qxy2x046I7FcLvPQk06nMTY2hh07dmD7\\\n",
       "9u3w+/0QRREejwcKhQJz5syZEO5qj0PazRPAhHNgj1MqldBqtXA4HCiXy7BarbzZi7S5j/TcWKDL\\\n",
       "5XJ8eSo7FqVSycO6NISzICwdv8E+t0KhwK9TPp+H0+mEwWCAUqnkTWgymQyfr6jT6VBXV8eryyyA\\\n",
       "UiA8chQICSHTBQVCQgg5hbGOl2ypqCAICIVC2Lp1K7Zu3Yrx8XEUi0UolUrE43E+AL6+vh5WqxVq\\\n",
       "tZrP+2MNaURRRDqd5uMiDhUGgerxC4FAAL29vRgZGYFSqYTP5+OjF2qfwxrfsCWT0n2GLAym02kE\\\n",
       "g0H4/X7E43FeUWPjFILBIKLRKARBqGrcksvl4Pf70dvbC7/fz+e3JRIJvPPOO1i1ahU8Hk/VOdWe\\\n",
       "q7TqyEIdC261QY0tx2XV0FKpBFEUkc/necBj15a9piAISKVSVcfOZg9KO6RKSQOo0WiEwWCAIAg8\\\n",
       "CLK5j/l8Hg6Hg3cWzWaziEQiGBoawtjYGBQKBWbOnFk115EcHQqEhJDpggIhIYScwqRVJLZ0MBAI\\\n",
       "YGRkBKlUii+frFQqSKVSCIVCiEQiqFQqvDpos9kwe/ZszJkzB4lEArlcrqrjpvS9arFKXjabxYED\\\n",
       "B/D6669j9+7dKBQKaG9vx4wZMyZU4ViALBQKyOVyEEURWq12wgD2fD6PsbExvPfeezhw4ABisRg/\\\n",
       "HxYUg8EgkskkisUib/qi0+mgVCpRLBaRSCR4BREA8vk8hoaG0Nvbi/b2dqjV6qoGLtJqp3S/nXQP\\\n",
       "Ye31kIZCrVbL925mMhleNdXpdDwYsyY32WyW720slUpQKpXQ6/W8M6larebdQKXHxTqgGgwGWCwW\\\n",
       "CIKAQqGAdDrNq7zZbBbpdBoWiwUKhQLJZJKPDhkYGAAABAIBGAwGPrKEXXsaVH9kKBASQqYL+n8F\\\n",
       "Qgg5hbGlkjKZjC/XTKVSUKlUMJvNfBllpVKBWq2GRqOBTqeDTqeDSqXi1aG2tjasXr0acrkckUgE\\\n",
       "y5Ytg9PpPKK9f2wP4muvvYbnnnsOgUAAer0eBoMB5XJ50i6abJ9jJBKBQqGA0+ms6vJZLpeRTCax\\\n",
       "d+9ebNiwAQMDA3x5JatGxuNxJJNJ5PN5HvhY9Uyv1/NzBcCrnUqlEoIgYO/evVi0aBH0ej1feglU\\\n",
       "h1VWbWPheaqKHQuEbD8hmwWZSCQQCoWgUqlgNBphNBp5sxm2/y8ejyMWi0EQBCiVSj5XUqvV8v2N\\\n",
       "0m6wbGloqVTir8sCYS6Xq3rNUCjEK5bhcBi7d+/G7t27EQ6HIZPJkMlk4PP5YLfb4fV6+XFrtdoP\\\n",
       "8yt6xqJASAiZLigQEkLIKSwej1ft34vH41AoFGhpaYFCoUAkEuHLP1UqFTo7O9HR0QGz2Vw1q89q\\\n",
       "tWLRokUwm82Ix+OYN28ezGYzv/9Qv9Cy6mNfXx/Gx8eRSCR4qJKGPKZcLiOTyWB8fBx+vx8WiwVm\\\n",
       "s7lqT2GlUkE2m+XVvPHx8aoRDaxyJ52vyF6bBTibzQaLxQJRFPnSzFwuBwDYt28f3n//fVitVl5F\\\n",
       "Y8/P5XKIRqOIRCLIZrN8viJbnltb7QQ+aAKjVquh1WqhUqlQKBTg9/uRTqchl8thMplgtVphMBgA\\\n",
       "HFzGGYvFEI1Gkc1mIZfLeTBkYZCFedZRNJfL8ZANHAwaLOADQCqVQiwWQ6lUgkaj4cuAw+EwBgYG\\\n",
       "+PJZVtHcs2cPWlpaeMAsl8twu93H/b0khBBy5qBASAghp7D333+fB0I2QsBisWD+/Plob29HIpFA\\\n",
       "OBxGKpWCVqtFZ2cnOjs7YTAYqsYpqNVqOBwOqNVqFAoF2Gw2HoAORyaTQaPRwGw2Q6fTQRAEGAwG\\\n",
       "uFwuPhZDuiSzXC4jkUhgZGQEsViMhxn2WuyfbFQCWwZZqVSg0Wig1+thNBr5IHZWJWQVQKPRCJ/P\\\n",
       "h1mzZqG5uRkqlQrhcBjxeBx9fX2IRCLo6+vD+vXr4XQ6MX/+fOj1egBAqVRCMpnEgQMHsG/fPqRS\\\n",
       "KVgsFrS3t8NoNFadd221kDV7YUswdTodSqUSgsEg0uk0VCoVbDYbHA4H9Ho9D9LJZJJ3C81mswDA\\\n",
       "z10ulyORSGBoaAjDw8NIp9O8gY3dbufvkclkkEwmEQqFEAgE+OuwmYSZTIbPR2QjJ/L5PCKRCEZG\\\n",
       "RniFs1wuY/Hixcf4bZxeqEJICJkuKBASQsgp7IUXXuB759hw9KamJl5xS6fTiMViyGaz0Gq18Pl8\\\n",
       "cLlcvIslw17DZDLx4FVbCZvql1qFQgGbzYYlS5YgGo1ifHwcHo8HCxcuhMPh4NU3FqBKpRKvZLGK\\\n",
       "mLSSyMIga9LClnXKZDLY7XY0NDTwZjXRaBSDg4Pw+/3IZrNQq9Wor6/HokWLsGjRIvh8PshkMgQC\\\n",
       "AQSDQQiCgHA4jEAggI0bN8JqtcLj8aChoQFKpRKlUgnxeBy7d+/G5s2bEY/HYbFYkM/n4fV64XA4\\\n",
       "qq4Jq0yycKBQKKDRaGAymWC323n1MZvN8uW7oijCarVCqVTyvX/hcJh/RmwJbDabRaFQwODgIN57\\\n",
       "7z0MDQ0hl8tBo9HA6XSivr4eLpcLSqUSsVgMAwMDGB4e5tcVOLiElo0iEQSBL61lx8yW7kpnWJ4J\\\n",
       "4WXNmjWYP3/+CX0PCoSEkOmCAiEhhJzCduzYUbWkkYUFi8UCALBYLLBYLMjlcrx6qNVqefhiIU26\\\n",
       "D47dXjtbUPpYKblcDqPRiLPOOgsmkwmhUAhWqxWdnZ18TxwjXRbKxl4YjUZeyWKvzWYrsmHvrMLZ\\\n",
       "1dWFJUuW8NdmyzIPHDiAkZERAEBrayvmzZuHxsZGGAwGVCoVWCwW2O129Pf349133+WjMd544w0s\\\n",
       "Xry4qmqXyWQwMjKCvr4+xONx6HQ6aLVazJ07F01NTVUNXlgzG+msRtZx1G63w+fzIRwOI5lM8iY/\\\n",
       "giDwRjX5fB6xWAyjo6NIJpNQKpVIpVI8EGazWfT09KCnpwfBYBCFQgEKhYJ3XnU6ndBoNEin0wgE\\\n",
       "ArwKyPaVSvc+SsMru9bFYhHpdBqZTAZarbaq0ys5NAqEhJDpggIhIae5/v5+vPHGGxgcHEQ2m4XL\\\n",
       "5cLChQuxfPlyah5xBmBLEdkSRYfDAZPJxJdhKhQKHgSA6hEL0iWP0jEQhUKhqhGNdEYeC4a1YyjU\\\n",
       "ajWcTif0ej0KhQJUKhVf0llbiWQBtrGxETKZDDabbcLj2CgKo9EIl8uFTCYDu92OxYsXY8mSJfD5\\\n",
       "fPz7297ejvnz5/MupKw6x4aus+W0bBYjq5iVy2WMjIxg165dWLRoEdRqNT//eDzOf3K5HEZHRxEK\\\n",
       "hVAoFPj1LJVKyGazfMksa9Ajk8n4Z+LxePjsPzZQngVJtnQ2EAhgfHwcyWQScrmc7/dk3UjHxsYQ\\\n",
       "jUaRyWR4ABUEgc8WVKlUyOVySCaTfEkou361pMGeVWojkQgMBgNsNhv9b8JRoqBHCJkOKBAScpp6\\\n",
       "/PHHsXbtWmzZsgUejwd1dXXQ6XSIRqPo7e2FVqvFVVddhX/9139Fc3PzyT5ccozq6+uh1WrR2tqK\\\n",
       "+fPno76+ni//YwEvnU7zZiI2mw0+n49XFKVdPbPZLILBIEZGRlAoFODxeODxeGAymaBWq/myTmk4\\\n",
       "ZKSdMaW31T6OLU31eDywWCwol8vQaDR8uSILqiyYAeD7EZubmzFz5kw+M5FV5bRaLUwmEzweT9W8\\\n",
       "wNoAq1Ao0Nraypu6SEdbJJNJmEwmHgbHxsZ4GGR7+3K5HA9y7Lmjo6MolUqw2+2w2+28+soCqMPh\\\n",
       "QGtrK4rFIgAgEokgn88jHA4jl8thcHAQvb29CAQCfB4hmxtZKpX4eyQSCeTzeX5+0mH3CoWCj5pg\\\n",
       "jXbYtWQjK9j5SjuWptNpjIyM8PNrbGzklWVyeFQhJIRMFxQICTkNLVy4EGq1Gl/84hfxl7/8BY2N\\\n",
       "jVX3C4KAjRs34sknn8TixYvx0EMP4fLLLz9JR0uOx8yZM6HVatHU1ASPx1O1HJSFvNHRUezevRvJ\\\n",
       "ZBJutxuVSoV3GGWjBgqFAqLRKHbs2IHNmzcjl8thxowZWLBgAd+TyKpgCoWCLy2sDXuTzS2s3X/I\\\n",
       "mtiwJibSX6ylFTTWFbRQKPCqF3tv6XPYv0uXQtYeFwtObOg7C646nQ4mk4lfr0KhgGQyiXg8zpd2\\\n",
       "qlQqvi+QLb8URRGCIGBoaAjpdBoNDQ18CSzb7yg9JjakngW7UqmERCKB0dHRqvdi1T9Wuctms0il\\\n",
       "UrwyKb2WrLOpdJyHtOrLloxqNBoestnnwf49k8kgFArxv0Cw2WzH/Z0khBByZqFASMhp6D/+4z+w\\\n",
       "evXqKe/XaDQ477zzcN555+Hf//3f+aBqcvppb2+HSqXig+RZOGBD1dPpNIaGhrBnzx7E43EEAgHe\\\n",
       "rIUNnmcVov7+frz22mvYsmULSqUSwuEw71wqiiIMBkNVFXCqUDiZyZaZsmAnrWCx6lWxWEQ+n0cq\\\n",
       "lUI0GkU4HIbJZEI6na4KNtLQOdX7S5fDlkol6HQ6GAwGvoS0ubkZGo2GH4M0gLKKptvthsfj4WGP\\\n",
       "jc44cOAAwuEw0uk0vz4sCLIlpX6/H/v27cOePXsQDAZ5yM1kMnw5ablc5ufAgjwbR8GqlFKso6lW\\\n",
       "q+VBebLQzSqXgiAgGAyiVCpVXRe2LDUej0MmkyGZTB7+S0cAUIWQEDJ9UCAk5DR0qDBYy+FwVHVO\\\n",
       "JKcXg8HAK33AB6FKuvSyWCwil8vxxiHpdJp3nGRBSRAERCIRjI+PIx6Po1KpIBqNIhqN8jmGbNko\\\n",
       "q9Kxalzt+IWp1IbC2j2M7PilVcJcLod0Os27kiaTSb6/UbocsrYyVvu+LCCz2Yg6nQ6VSgUulwt2\\\n",
       "u72q6yqr8ikUCoiiyJd+sgohO/ZisYhYLIZwOAydTodYLAa32833ErKgNTQ0xJvexONxvkdTEATe\\\n",
       "UbS2eQ/7TNi5Ss9NOvNQo9GgXC5PqJoqFApotVq4XC40NjYimUwinU4jm81OqDSy686W6JIjQ4GQ\\\n",
       "EDJdUCAk5AwRDAYRDAYnVBrmzZt3ko6IfBhYlQ8ACoUCCoVC1TJMrVbLZ98Vi0VeUSoWi1V71ZLJ\\\n",
       "JIaGhjA+Po5UKgWZTIZ4PI5IJIJEIgGHw1HVNKW2IyiACdW62n+vbRrDsIDCgiALsdlsljdcYWMl\\\n",
       "duzYgY6ODt40R9qoRbpXUBpW2Zy+RCKBSCQCpVIJu90Oo9GI+fPno7m5GTqdji+vZCGKVdTa29ux\\\n",
       "ePFiHvbYe2azWYyNjWF0dBTpdJrvtXQ6nSiXyxgdHcWmTZvwxhtv4MCBA0ilUrzyKK1aSsPgZMtn\\\n",
       "a5efspmPbM4jm9OYz+f5NdXr9ZgxYwYuuugidHd3IxqN4oUXXsA777zDAz8LxiaTCXq9nnc9JUeG\\\n",
       "AiEhZLqgQEjIaW7r1q249tprsWfPnqpldewXUOlcMnL6YZ9loVBANpvlFSeVSgW1Wg2bzYbZs2dD\\\n",
       "q9VifHwccrkcdXV1fBC7tIKYz+d59UmhUECv1/OllawCJV16Kd2vV7tsdLKxFVLSql2pVJqwv61Q\\\n",
       "KCCVSiEYDCIUCvFK5dtvv43W1lYedFnHULYMUy6XQ6/X84DHmr+w1xkbG+N75err6zFjxgy4XC5o\\\n",
       "tVoolUpotVrU19dj8eLF/LgWL16MefPmwWw2V83qY0tyk8kkBEHAjh07kEwmodfrEQwGsXPnTuzb\\\n",
       "tw/hcJh/LrXXgGHNetjICovFApPJxD8TtlRWpVLBYrGgrq4OXq8XWq0WyWSyqtGNSqVCY2MjLrro\\\n",
       "Ilx00UXwer3I5/N8xuSuXbsgCAJ0Oh1cLhfcbjcMBgOfibh9+/YT8l0901AgJIRMFxQICTnNffnL\\\n",
       "X0ZXVxd+9atfwePx0C8mZxi1Ws0Dl7TixDpdmkwmvuQxnU7zJik6nY43lGGdKU0mE7xeLwqFAnQ6\\\n",
       "HWbOnImuri74fD7eVIYFotpAKJ1fJ12uykJQbbMXtkSRVbdYoxu2X1E6sJ0tWc3n89i/fz9efPFF\\\n",
       "qNVqdHR0QKPRIJPJIBgMIhaLQS6Xw+12w+fz8WYxqVQKg4ODvNpYKBSg1+vh9Xrh8/lgNBr5ElEA\\\n",
       "cDqdWLRoEbRaLcrlMmbOnFm1FLS26lkul5FKpdDf34/h4WGk02l+PGwmoPQvY2oDs3Spql6vR319\\\n",
       "PWbPno2WlhZUKhUMDg5icHCQz2J0u92oq6uD3W6HQqFAKpWCwWDg1UKLxYIFCxbg7LPPRmNjI4xG\\\n",
       "I8rlMhYtWoRsNguLxcIbDHV0dKChoQE6nQ6CICAej+PZZ589wd/aMwMFQkLIdEGBkJDTXF9fH/7y\\\n",
       "l7+go6PjZB8KOQGk+z91Oh2v5rGKE2sKo9FoYLFYqpZXsgodm9Pncrkwc+ZMOBwOuFwuzJkzB93d\\\n",
       "3XC73XxpqnRfIgs57L0YFjJZiAMOBldpoJKOdwiFQpDJZHA4HLDZbFCpVEin04hEIrwDJwuWqVQK\\\n",
       "e/fuhV6vx+joKPR6PZLJJMbHxxGLxaBQKODz+dDW1gav1wuVSoV4PI7+/n6Ew2GMj48jl8vBZrPB\\\n",
       "ZrPBarXy6iDryslCGQAUi0V4PB4+J7G2m6dWq4VKpeL7CbPZLG8UUygU+GOlnwerLtZWDJVKJVwu\\\n",
       "F5YvX45PfvKTaGtrg0qlQiwWw8DAAIaGhpDNZqHT6WA0GvlnXSwW0djYiEQiwUdgdHV1oaGhgXed\\\n",
       "lclksFgsmDNnDlQqFfL5PLxeL1paWmC326s6kR7pntBT2Z///Gfs2rXrhL4HBUJCyHRBgZCQ09wF\\\n",
       "F1yAd999lwLhGaqhoYH/As/CDAte0r19bCkoC4Ns2ad0iLnZbEZrayt8Ph+am5vR0tICt9vNB7yz\\\n",
       "vYcs6MlkMhiNRv5e0nEXmUwGo6OjfJkqa96i0WhQqVQQi8Wwd+9evPPOOxgYGIBSqURraytmzpzJ\\\n",
       "B9EPDg4iFotV7YmUyWTIZrO8uycAPpqhWCxCp9PxxinZbBYKhQKhUAi9vb18D6FcLofT6YTdbofZ\\\n",
       "bIZara6qYKrVaphMJjidTt5Mh1VfayuxRqMRBoMBpVIJgiBUzStknwvrCGo2m2EymVAqlRCLxXh3\\\n",
       "UYYt9Vy5ciUWLlzIl8SyTqhsHzB7HvtMpX8JwEZrmEwmGI1G/lmzz91kMqG9vR1KpRIOhwN2u51/\\\n",
       "vhRaCCGETIYCISGnuUcffRTXXnstdu7cyasDUp/5zGdO0pGRD4PT6axajqhUKnm1i5HuGa3tzMlC\\\n",
       "nCiKUCqVMJlMsFgsqK+vh8PhgMFg4NUxtrcvk8kgHA6jUqnA4XBUvSebzzc6OooXX3wR77//PhQK\\\n",
       "Bbq7uzF37lx4PB6USiX09fXhlVdewaZNmxAOhyGTybBnzx4MDQ2ho6MDlUoF+/btQzwe58fGQpVO\\\n",
       "p0Mul+OVOEEQUKlUeHBjzXUymQyKxSIGBwfR39+PdDqNTCYDo9HIG8sYDAYolUoeCFm1VK1W832W\\\n",
       "wMFKIav4sfcQRRFWqxV2ux2VSgWCIFQFSxaSDQYDmpqaMG/ePDQ2NiIajWLTpk04cOAAstks/zzU\\\n",
       "ajWamprQ0dHBK5cymYwvpWXhLxQKIZFIoFKp8Mqv2Wzm8xWl4Zx1M2X7LEulEkwmE/+cpX+BQIHw\\\n",
       "6FCFkBAyXVAgJOQ0t3HjRrz11lv4+9//PuE+aipz+mNVIGayJi+1oxlqRxewvYTZbBbpdJrvL2T3\\\n",
       "sb115XIZ6XQae/fuxXvvvYdyuYyuri4sXLiQN2Rh4ypeeOEF/Pa3v8Xo6ChkMhncbjeWLl2Ks846\\\n",
       "CwCwbds2vP322xgbG4MgCACAcDiMYDCIffv2wWAw8EYyMpkMBoOBd//U6/WIRCIIhUKIRCK8mYzR\\\n",
       "aITVaoXVaoXL5YLFYuFVtbGxMWSzWT6iwWw2w+fzVVXHpEGO7bOUBkAAvFKazWYhk8nQ2toKtVoN\\\n",
       "v98PrVbLl4KyAFdfX48LL7wQF110Edrb26HVahGPx/Hcc8/hkUceweDgIEqlEpRKJd+7WFdXx0M4\\\n",
       "+1GpVDAajXwcRzab5TMDLRYLDAYD3+fJ/rvO5/OIxWIYHx9HOBxGoVCAyWRCXV0dX17MgnztjEhy\\\n",
       "eBQICSHTBQVCQk5z3/zmN3H11VfjzjvvhMfjOdmHQz5k0r17UlONeJDeJw2FMpkM6XQaoVAIer0e\\\n",
       "xWKxKpCwpYfxeBzvvvsu3nnnHV4NZA1OlEolyuUyEokEenp6EAgEkMlk+DHs27ePz/IbGhriM/mk\\\n",
       "fynBxkOw12b3KZVKGI1GeDweGI1G3tSGLXuVy+VVYc/hcMBoNPJAyYIaqzay+6VLJWuDM6sUsuWW\\\n",
       "rCrIloeWy2XYbDYAB6t7wMHRHzKZDIVCAR6PBx//+Mdx8cUXo62tje/D1Ol0WLZsGV5++WUEg0Hk\\\n",
       "83no9Xq0tbWhq6sLer1+QsWONe7RarUwGAwwGo084ErnMtbOhsxmsxgZGUFfXx8qlQrq6+ths9n4\\\n",
       "+Bk21uJQcxzJ5CgQEkKmCwqEhJzmIpEI/vmf/5nC4BnqcL9o1jZBqa0gsgCRy+UwMjKC3t5e6PV6\\\n",
       "zJ8/v2o2HnAwPPj9fmzbtg179+7lIWXWrFloaWmBTqfjoxhY0GGBrlAoIJlMIhaLQa1W8+WctUGE\\\n",
       "7YPU6XTIZDJVcwmLxSIUCgWsVisEQYDJZEIwGKya6QccbPTC9uvlcjlYrVZoNBq+X9JsNsPtdkOj\\\n",
       "0fBrxP7JXocFLLVazfdb5vN53hW1UCigVCpBq9XCbrdDrVbzSiqbR7hgwQJccMEFaG9v55VIds3b\\\n",
       "2trw8Y9/HMPDw4hEInC73VixYgUaGxt5QJ/ss2aVQnYN2DLVyb4TLFTH43F+nUwmEw+QbB8i+2zZ\\\n",
       "82qXlZPJUSAkhEwXFAgJOc197nOfwyuvvIL29vaTfSjkI8aCoLSjpXSOHntMoVDA6OgoduzYgb6+\\\n",
       "Puh0OqxcuRLd3d2TBsL+/n7enGVsbAyBQIBXzNjySkEQJlQmFQoF/5FWs9gyTZ1OB5/Ph66uLsjl\\\n",
       "ciSTSZRKJRQKBVQqFSQSCT5PT61WY2xsjC85ZQGHVfHY8HZRFNHc3IyBgQE+kN3n88HpdEKhUPBO\\\n",
       "q9JmMcVikTeQYfsLWSAMhUKIxWIolUq8+YzRaIRWq4VarYZOp0NzczOcTifmzZuH1tbWCU1bWKj9\\\n",
       "xCc+gVQqhf3796O1tRUrVqyAzWar2o9ZWyWUDqYvlUrI5XJ85qL0c5d+/sAHnWD1ej3vPMrOnQVE\\\n",
       "Vgl1Op0n4ut4xqFASAiZLigQEnKa6+rqwu23344333wTc+fOnfC3/9/61rdO0pGRD0OxWATwwS+c\\\n",
       "tUtFWWhgzUsMBgMPECwMhkIhbN26Fe+//z4ikQg0Gg0GBwcnfW02iL1YLEIulyOfz/NAISUNfjKZ\\\n",
       "DDqdDg6HA263m3c01Wq1fPC6RqNBc3Mzzj//fHR3d2N8fBy9vb28mUupVEIqlUI2m4XJZEJjYyME\\\n",
       "QcDIyAiy2SwEQeCPSSaTqFQq0Ov10Gg0mDlzJt+fKAgCWltbeVhk4Y/tzWPhki2lZVU9URSRTCYx\\\n",
       "MDCAsbExvi+SNXNRKBQwGo18CanL5UJ9fT2/T1rFY51MW1tbccUVV8Dv98NoNFaNiaj9LKXPZZ1E\\\n",
       "rVYr9Hp91bJfFgDZ56HRaGC329HU1ASdTof29nY4nU7+PtL9iMlkEplMBhdeeOFxfisJIYScSSgQ\\\n",
       "EnKae/TRR2E0GvHaa6/htddeq7pPJpNRIDzNjY6OTmgQw6pRlUoFuVyOz98rl8twuVzweDy8g2Yy\\\n",
       "mcSePXuwfft2hMNhvhxyeHiYN3thWMCUVp10Oh0f3SANjuxYlEolVCoVnE4nOjo60NbWhlKpBL/f\\\n",
       "j+HhYT6n0OPx4Pzzz8dFF10Eu92OvXv38uWaLLBls1lks1no9Xo0NjZCp9NhdHSUN5epVCpIp9MI\\\n",
       "BALI5XJQqVQwmUzo6OhAPp9HMBhEIpFAY2MjtFot77xZLpeRy+WQTCb586xWKywWC28iUygUEAgE\\\n",
       "sGvXLgwPD/N9fjNmzODdPYGDQUylUlUFxcmCHavWNTU1we12AwAfH3GoapK06Q0L9+zPLLyySh9w\\\n",
       "cDYl2zdosVjg8/lgsVh4I6FisYhUKoX+/n709vbC7/dTIDxCVCEkhEwXFAgJOc319/ef8Pf4v//3\\\n",
       "/+LHP/4x/H4/5s+fj//8z//E0qVLp3z8008/jTvvvBMDAwPo7OzE/fffj0996lP8flEUcdddd+GX\\\n",
       "v/wl4vE4zj77bPziF79AZ2fnUR/b4YZsP/7447j88suP+nVPFV//+tehVqvhcDjQ1NSE5uZmuFyu\\\n",
       "qsA3NDSE/v5+5HI5eDwetLW1wel0Qi6XIxAI4L333sPo6Chf9imTyfhIh1KpxJdWCoKAfD4PlUrF\\\n",
       "u3DW19ejvr6ej0hg+/BUKhXvOmoymdDV1YW5c+eipaUF+XweY2NjsFgsSKfTUKlU6OjowPLly9He\\\n",
       "3g6VSoVoNMrPgS19ZNUspVIJm80Gs9mMFStWYO/evUilUvz4gsEgotEoRFGEVquFw+FAZ2cnXC4X\\\n",
       "IpEIbyaTz+dRKBSQSqUQDAZ5kLTZbGhtbYVWq4VCoUC5XEYymURvby92796NQCAAi8UCt9vNl4lK\\\n",
       "A7FKpYJGoznkKAfp8k92faWPP1woVCqVPABKR1xIr5dMJoNGo4HL5YJCoeDLW1UqFf8LA7YcNhwO\\\n",
       "o7+/H6Ojox/OF3MaOBMCYTKZhMfjQS6XO9mHQgg5hVEgJOQMNT4+jt///ve47bbbjut1nnrqKdx6\\\n",
       "6614+OGHsWzZMjzwwANYvXo1enp6eOVDasOGDbjyyitx33334ZJLLsETTzyBNWvWYNu2bZgzZw4A\\\n",
       "4Ec/+hF+/vOf47e//S1aW1tx5513YvXq1di9eze0Wu1xHe+Z5sknn+RLCH0+H+bNm4clS5bwrpbZ\\\n",
       "bJaHHTaHjwUchUKBoaEhHDhwAJlMpmpWYbFYRDgchs/n4/vqhoeHMTw8DIVCAb1eD4fDga6uLng8\\\n",
       "nqqQwUY0sFDU0NCAuXPnorOzEx6PB+l0Gm63G0ajERqNBhqNBl6vF16vFwaDoWqEhHQ/HRt4z/bv\\\n",
       "seWgc+bMwcDAAO9YGo/HeYdTi8UCtVoNq9U66QgNQRAwPj6Ovr4+jI6OolKpoKGhARaLBVarFQqF\\\n",
       "gj9m9+7dGBgY4OEzHo/zCqh0D580GLO9m1OFQ3a9mdoGQFM9XrqsdKoRI6Io8u8G604qXQYLgI8X\\\n",
       "YcG3tipMpnYmBEKz2cyr9IQQMhUKhISc5r785S9Pevvg4CDeeeed4w6EP/3pT/HVr34VX/rSlwAA\\\n",
       "Dz/8MJ599ln8+te/xr/9279NePzatWtx0UUX4dvf/jYA4Ac/+AHWr1+PBx98EA8//DBEUcQDDzyA\\\n",
       "O+64A5deeikA4He/+x08Hg/WrVuHK6644riO90yTTCYhk8mQTCaRSCQQj8eRzWaRz+dRX1+PcrmM\\\n",
       "bDaLYrGIfD7P98dls1lUKhW+J46NS2CjForFIvbt2wfg4EiFYDCILVu2YOfOnSiXyzAYDPD5fGhs\\\n",
       "bOQhjoVBFjrVajUMBgPa2trQ3d0Nr9cLk8kEuVzO97+xvYZsiSn7JVur1cLtdkOn0yGdTvOAlclk\\\n",
       "kMlk+LJUh8OB7u5ubNiwAalUij9mcHCQL+1k8wRZ11B2LXK5HOLxOPr7+9HT04NgMMire+l0mu9v\\\n",
       "jMVi6OnpQU9PDyKRCB/Jwa49C4C1HV3ZMavV6qp5f7UBjj2OHSOASfcR1naGra0mSl8LAG8Uw5YU\\\n",
       "S/d0stdh4zxcLhccDgdisdgJ+66eac6EQMioVCq+Z5gQQmpRICTkNFf7C165XEZfXx/27NmDhx56\\\n",
       "6Lheu1AoYOvWrbj99tv5bXK5HBdeeCE2btw46XM2btyIW2+9teq21atXY926dQAOLnGt3cdksViw\\\n",
       "bNkybNy4kQJhDekv/7lcDsFgELt27YJWq0Uul+OD0Fl1MJvNolAoIBKJIJfLYXBwEIFAgIcchUIB\\\n",
       "jUaDZDKJDRs24J133kEsFkMgEEAsFkM2mwVw8DOx2WwwGo18BiAA5PN5pFIp3sDGbrdj1qxZaG1t\\\n",
       "5VW6crnMq4Osqlgqlaoa02i1WtTV1cFisSAWi/ERFfl8ngdOFhy9Xi+cTifGx8f5stGBgQHs2LED\\\n",
       "crkcLpeLD2tnTWry+Tzy+TxvXsPmImq1Wv6esVgMmUwG/f392L59O0ZHR5HL5VCpVPh5soY6rILJ\\\n",
       "Zh1KryULpWq1uiqQSauI7PxYSANQVcmTdh093CB56SgJ1vyHHZcUW3pqNBpRX1+P9vZ2lEqlD+V7\\\n",
       "OR2cSYGQddoFDn5/7HY7QqHQST4qQsipggIhIae5v/3tb5Pe/u///u9Yt24dvva1rx3za4fDYZTL\\\n",
       "5QkzDj0eD/bu3Tvpc/x+/6SP9/v9/H5221SPmQybycYkk8kjP5EzBNtnl0wm4ff7+Z6xTCaDdDrN\\\n",
       "w1ypVOK3xWIxXjkEPhhPkM1meQCKxWJIpVJ8KSgLNqyix5q+AKiaF8iWlXo8Ht54RloRZFUz4ING\\\n",
       "KNIwZTabefWRYSGHvR/bJ6fT6aqaqqRSKYyNjcHj8UAmk0Gv1/Prw4bZZ7NZJBIJxGIxJJNJ3omV\\\n",
       "XZdYLAa5XI7R0VGMj4/zuYosyAmCUDWigr0uq8wB4F1L2XVlYyzYcbIZh6xZD3ucXC6fMHaiVu19\\\n",
       "tdVEFlLZ+0irl+wx0tmGbrebKoTTEPtOPPvss7j99tuxb98+hMPhk3xUhJBTCQVCQs5QV155Je69\\\n",
       "996TfRgfmvvuuw9333131W133XXXSTqajx4LKcViEZFIBHv27EEkEoHBYODhhQ0iVygUfIB8IpFA\\\n",
       "Op3moYYtKwyHw8jn83yfHQs4SqWS75vTaDS8Q2cul+NBslKpwGq1QqfTYfbs2Zg5cyYcDge0Wi1E\\\n",
       "UYRarYZer+cNTtjxsyojq/zV1dWhqakJQ0ND/NhlMhkEQeCzCQHwuXwajQb5fB6lUgmxWAx79uxB\\\n",
       "sVhELBZDXV0dX5Yq7b46PDyMkZERhMNhCIKAbDbLA9n4+DhKpRL279+P/fv388okcDD4xuNxhEIh\\\n",
       "vvSVBTu2F49VE00mE9xuN5xOJwwGAz9ntsQ2l8vxuY0ajQYA+Oc0makqhNK9h6zyysKzWq1GqVTi\\\n",
       "3UWl1SC29Larqwtms/nD+1JOA6d65W8ybGRKIBCouv2cc87Be++9d5KOihByKqNASMgZ6t1338XC\\\n",
       "hQuP6zXYcO/aXywCgQC8Xu+kz/F6vYd8PPtnIBCAz+eresyCBQumPJbbb7+9ailqMpnEo48+elTn\\\n",
       "cyYol8t8gHoymayqwkkrVOxxbMafKIpVnStZxYwFL+n+NjaQXafT8eYqLGwVi0Xo9Xo0NzdDrVZj\\\n",
       "zpw58Hq9vIJXLpf5zD632w273Y5SqcSXnrKmKWq1Gm63GzNmzEBPTw+vTqpUKr7kk1X7APDB8Ozc\\\n",
       "2PJZVsEUBAFGoxFmsxlyuRyZTAZ+vx8jIyMIBoNIJpMolUqQy+UQBAGxWIzvN0ylUkin03xZJ7vO\\\n",
       "kUgE27dvRyKR4NVSdn0LhQLfh6jVapFIJCAIApxOJx9ZwbqmslAuimJV99KpTNV0RhoS2b+za8Qa\\\n",
       "7tRWCAHwxjMulwsmk+k4vn3Ty+m8ZHTRokUAgOuvvx6PPPIIgIOzMwuFwmE7MxNCph8KhISc5mr3\\\n",
       "6wEHw9UzzzyDiy++uOr+n/70p0f12mq1GosWLcJLL72ENWvWADhY9XjppZdw0003Tfqc5cuX46WX\\\n",
       "XsItt9zCb1u/fj2WL18OAGhtbYXX68VLL73EA2AymcSmTZtwww03THksrFvldCMdNcBIlzPWhgQ2\\\n",
       "545VFFmVTaFQ8MofgKrlkNK9a2q1GjabDV6vF0ajEdlsFn6/H+VyGRaLBXK5HE6nk3evZP9eu5xR\\\n",
       "p9OhsbGRzwisr6+HTqerOk6LxYKuri60tbUhk8mgUCjwKmAqlYLVauVLIlkgZYGQhcJwOMyXX5pM\\\n",
       "JjgcDiiVSqTTaQwNDWF8fBzJZLJq2SwLc9I9ftJrBRwMhIlEAi+++CJcLhdftupwOGC326FWqyEI\\\n",
       "Am+Ak0gkkMvlkMlk+P2syjg+Po5AIABBEODxeDB79my+51BK2jCmttOolDSolMtlFAqFqs9S+hxp\\\n",
       "KGShmhyZ0zkQdnV1AQB++ctfIpvN4g9/+ANWrlyJl19++SQfGSHkVESBkJDT3Pbt2ye9fcmSJQgG\\\n",
       "gwgGgwCO/ReWW2+9Fddeey0WL16MpUuX4oEHHkAmk+FdR6+55hrU19fjvvvuAwDcfPPNWLVqFX7y\\\n",
       "k5/g4osvxpNPPoktW7bwv6WWyWS45ZZbcO+996Kzs5OPnairq+Ohk3xArVZP6FQJVIcHhu1zqw1n\\\n",
       "SqWSjyXQaDS8miR9PttrZrVa0dTUxGcPJpNJ3qymqakJLpcLLpcLBoOBVxfZclKlUskbyCiVStTV\\\n",
       "1WH27NkoFApoaWmBXq+vCih6vR719fXo7OxEIBDglchsNotYLAabzcbPSalU8j2KrOLJ9kqGQiEU\\\n",
       "i0XodDrYbDao1Wqk02mMjY0hHA4jm81OaGrDrmFt11B2LVhjmX379qGvrw9KpRI6nQ5utxvNzc3w\\\n",
       "eDyQy+VIJpMQBAGhUAjRaBTRaBR1dXUwm80QRRHRaBT79+/Hvn37+Dlls1mYzWZotVpeNWXXjX02\\\n",
       "rGENq0hO9d8ve95kTWWkny275tL9muTQTudA+Nhjj2HJkiUAgN7eXgBAe3s7BUJCyKQoEBJymnvl\\\n",
       "lVdO6Ot/4QtfQCgUwve+9z34/X4sWLAAzz//PG8KMzQ0VPVL5ooVK/DEE0/gjjvuwHe+8x10dnZi\\\n",
       "3bp1fAYhANx2223IZDK4/vrrEY/HsXLlSjz//PPHNIPwcL+IXXXVVVM23jkdzJgxA8ViEblcji8B\\\n",
       "rQ2GtUGA/ZmFNL1eD6fTCafTCZlMhnA4XNVUgj3ObDajtbUVHR0dcDgcEAQB0WiU7yG0Wq3w+Xww\\\n",
       "GAyQyWTIZDIYGRlBJBKBw+GA0WiEUqnkYdVkMqGpqQkA4Ha7eddR9p6sGllfXw+Xy4VisciXjKZS\\\n",
       "KWSzWT7UXavVQq/X832N0v18rIGMSqVCMBjkQ+lTqRSvPNZep9oQWEs6F5EdbzqdRqFQ4OM2NBoN\\\n",
       "MpkMIpEIBEHAyMgIRkdH0dTUBK/XC41Gg3A4jN27d/ORFiqVCvF4nHdwZVVXNjcxEokglUrxgfNs\\\n",
       "zqJ0vyE7F1YplX4fpnKorqVkcqdrINRoNEgkErj66qsBAG+//TYA4PHHHz+Zh0UIOYVRICSEHNZN\\\n",
       "N9005RLRV199dcJtl19+OS6//PIpX08mk+Gee+7BPffc82Ed4hlr9erVfM/g+Pg4otEoDzlsmSP7\\\n",
       "qR16rlAoYDAYUFdXh87OTni9Xh5wRkdH+VwyhUIBk8mEjo4OLFy4EA0NDSiVSohEIgiHw3x/XVNT\\\n",
       "E29OUy6XEQgE0NPTg3w+D5fLBZ/PB6fTyZvJsAH0wMFmNSy8SefssaHydrsd6XQaGo0GarWaN2Rh\\\n",
       "+wYtFgtcLhfS6TSvSrLXY3MH2TkD4LezauJUoXkqtbMH2fVlextVKhW0Wi0qlQoSiQQSiQQqlQqC\\\n",
       "wSDfH2s0GhGPx9Hb24vx8XGk02kAQC6X40135syZA61Wy0dk9PT0wO/3Q6/XY8aMGeju7uZLUNnS\\\n",
       "WFYVlJ7fZPMPT6WQcjo6XQNhPp+H1WpFKpXC2rVr8c1vfvOUOj5CyKmHAiEhp6GLLroI3//+9/Gx\\\n",
       "j33skI9LpVJ46KGHYDQaceONN35ER0c+TCtXruRzBUdGRjA0NIRAIMCXKrJQJA2FwMGKllarhcvl\\\n",
       "Qnd3N7q7u2G1WhGJRJBMJrFv3z4eJvR6PTo7O3HOOeegs7MT5XKZv08oFOLdNIPBICKRCERRRCAQ\\\n",
       "wK5du7Bjxw4kk0no9Xp4vV60tLSgoaEBTqeTBybWXIXtdTObzVAqlXzfG6uGsQDodDqh0Wh4FYwF\\\n",
       "woaGBt58JhKJ8FBUWyGrDXFH00SDNb1hVW/WdVT6OkajEXV1dTAYDEgmk7ySKAgC0uk0UqkU7wBb\\\n",
       "KBQQCoWqKpWxWAwbNmwAAFx44YVoaGiAIAgYHh7GgQMHEA6HeUMfNs+RdSVlS2XZGBYW0OkXfiIV\\\n",
       "j8f5v69ZswazZ89GqVTCwMDASTsmQsipiwIhIaehyy+/HP/0T/8Ei8WCT3/601i8eDHq6uqg1WoR\\\n",
       "i8Wwe/duvPnmm3juuedw8cUX48c//vHJPmRyjGw2G8rlMvR6Pa8qWa1WvjdOGghYkGENZPR6Pdxu\\\n",
       "N1paWtDY2MhnA7rdbpjNZlQqFSgUCtTX12PFihVYsGABdDodBgcHMTQ0hOHhYSQSCR4c+/v7YTAY\\\n",
       "YDQaMTAwgC1btmBwcBD5fB4qlQqhUIj/NDY2wmQyIZ/PIx6PQxAEviS1paUFdrsdAJDJZKBUKuH1\\\n",
       "eqFWq6FWq+HxeKDRaKpmCmq1Wng8Hh4QWdBkobI2/B1uSehkpB1QWZWShWF2v0qlgtfrRVdXF4xG\\\n",
       "I/L5PHp6enhzFxbUWBVQJpPxhja1o0M2bNiAcDiMzs5OGAwGpNNpvkSXPSYSicDn8/H9hKIoThhl\\\n",
       "wfYGSkOwdNA9OTana4WwVkNDAxKJxMk+DELIKYwCISGnoeuuuw5XX301nn76aTz11FN45JFH+P/h\\\n",
       "y2QyzJo1C6tXr8bmzZsxc+bMk3y05HjkcjkedLRaLWw2G2+yks/nAYAvX9TpdLyTpEqlgkqlgl6v\\\n",
       "h9Vq5QPgtVotLBYLb9ii1WrR3t6OtrY2XvHav38/enp6EAgE+BJPFghjsRjK5TLGx8cRDAb5XEJp\\\n",
       "xY9111QqlXyWXzqd5mGqu7sbXV1dcLlcvOspG4kgl8uh1+tRqVSQyWR4dZGFYja2hC0TFQShalno\\\n",
       "4YJg7S/utWMa2Mw+u92OfD6PkZERvjyXBUKXy4X6+nqYzWbkcjls374dAwMDvGOptGGPVqvl4z7Y\\\n",
       "e7MqH1tOWiwW4Xa7+QxBjUYDvV4PrVYLmUzGgy8LfGxPZ7FY5Ps/2TUpFAr8LwWm6lJKjsyZEggJ\\\n",
       "IeRwKBAScprSaDS4+uqreeMA1vbe4XDwX7LJ6W9wcBAKhYIHCjbSwWKxwGAw8O6XBoMBBoMBOp2O\\\n",
       "V5PY46WD0mUyGTQaDSwWCwBAp9PBbDajXC7D7/fjwIEDvPLHuoeyUQXFYhFjY2PIZrPIZrM8pLA9\\\n",
       "gaVSCfl8HtFolM/oi8ViSKfTvPvp2NgYBgcHsWfPHnR2dqK5uRkul4sHJxYo2V49aeCTyWS8QQ5r\\\n",
       "wJJIJHgwPhR2LVgVkHX2lFbUlEolrFYrZs2aha6uLiSTSbz44ouIRqN8HiILkBqNhi8dbWxsxI4d\\\n",
       "OwB8sMSUvb5Wq+VLPVknUPaebH4iO369Xg+FQsGb7bBupazpDNs7KK0OKpVKKJVKlEolpFIpPieS\\\n",
       "NeChUHjsKBASQqYLCoSEnCEsFgv/JZ+cOTZv3gyVSsWXarJZjCwIsGBiMplgMBig1+t5AxLpjD22\\\n",
       "34wFOfZc1tVzeHgY2WwW77//Pvr6+pBKpVAul/nYAzbQXVqVq1QqVQ1iWFWKzfljXT7ZPj+ZTMaX\\\n",
       "VSaTSUQiEcRiMcycORMul4tXPTOZDNLpND9WNliddfZUq9XQ6/XQ6XSHHcsg7WrKxm+weYi5XK5q\\\n",
       "2a1Wq0VjYyPOOecczJkzB9lsFgMDA9i5cydvCFMoFOD3+3mnUJ1OB4/HwzuvAh/sN1QqlbDZbLBY\\\n",
       "LNDr9SiXy0gmkzwcs/BnMBh40xyDwQCTyQSn04m6ujrYbDaoVCpeeczn88hmszwQsnMXBIH/pZBG\\\n",
       "o0F9fT08Hg90Oh0PpLXXhBwaBUJCyHRBgZAQQk5h69evh1wu5zP2XC4X7HY7DAYDtFottFotr3Cx\\\n",
       "pYKs0yZrcsLCVTabRSQSweDgIMbHx1EqlfgYh9HRUYRCIYyNjSGVSvHQwjqKshl5rHInDRhsKarJ\\\n",
       "ZOKD5TOZTFU3VHaMrCpXKBSQzWYRj8cRDAbR2NgIvV6PfD6PRCKBeDzOO6IajUbexdRqtfJjkVYo\\\n",
       "2bJJaQUQAN9jp9fr0dTUhMWLF2PGjBmQy+XYs2cP3n77bQwPD6NUKsHhcGDZsmU477zz0NrayoPW\\\n",
       "I488gl27dvFB9Nu2bUNdXR0+/vGP832dDocDo6OjvOkN+8yamprQ2tqKRCIBvV6PgYEBZDIZ3szH\\\n",
       "7XbD7XbD4XDA4/HA6/XC6/XC6XTCZDLxZaSZTAaJRALJZJJ3VFWr1bz5TjKZRG9vL3bv3o18Po9Z\\\n",
       "s2bx82BLT9lfEJhMpo/yK3zaOtGB8NZbb8XPfvazqtvOOussbN269ahfixBCjgcFQkIIOYUlEgk+\\\n",
       "84+FOjbYnFUCVSoVX/ppt9tht9uh1+tRLBYRi8UQDod5mAgGg/D7/YhEIgAODr5PJpMAwGf/sSWa\\\n",
       "UrV744DqJiw6nY5X3tjSxqnm47HbBUFALBaDQqGAIAi8KyerLubzecjlcuRyOSiVSphMJn5euVwO\\\n",
       "hUKBL4lVqVRVlUSFQlG1p87j8WDZsmW44IIL0NbWBqVSiTlz5sDhcODll19GKBSC3W7ns//0ej1U\\\n",
       "KhUWLFiAOXPmoK+vj1dGI5EItm/fDo/Hg9bWVl4J1Ol0vIGMUqmEwWDgId5oNPKAHI1GUalUoNPp\\\n",
       "+FgO9rmypjms8imKIrLZLILBIEZGRhAOh1Eul2E0GmGz2WA2m6FQKJBOpxEOh+H3+5HNZqHT6dDe\\\n",
       "3g6TyQSdTodcLge/34+xsTF84QtfOFFfV3KEfvWrX/EwOG/ePCxcuBDr169HV1fXST4yQsh0RIGQ\\\n",
       "EEJOYaxSJ93nplKpkM/n+RJC9hiNRgO73Y66ujq4XC4oFAokEgkEg0FEo1HE43G+p086t48th5Q2\\\n",
       "L5GSdsgEPqicsDDIljmyeXqsuQx77FTdLtkeOtaoho2pYF06S6USX4bKlkkKgsArleVymVf/2JLa\\\n",
       "pqYmeDweKBQKRKNRhMNhlEolNDQ0YPbs2Whvb+cNXKxWK19SuWXLFsjlcmg0Gn5uSqUSHo8Hc+bM\\\n",
       "wSuvvMJHTLCZgcPDw/B6vXzWI2tEUyqVYDAYYLfb4XA4+HB5h8OBWCzGq65s4HwymUShUEAmk+HX\\\n",
       "r1QqwWq1QhRFhEIh7N27lw+3l8vlcDgcaGxsRFNTE+/mWi6X+fJinU6HUqmEcDiMTCaD9957D2+8\\\n",
       "8Qb6+vpwxRVXnOBv7Ym3Zs0azJ8//4S+x4msEH7lK18BcHRdcAkh5EShQEgIIacBaRdN1mxFuiyT\\\n",
       "LZ0cGxurGozOhtpHo1FeAWR7+gDwfX21TVbYfdIgKH0Oq0yaTCY4HA7YbDaIojhhTAN77GTnA4AH\\\n",
       "LAA8pLJRE2zfobRzKAuRbCmqRqOBTqdDR0cH6urqMHv2bLhcLr4MdmBgAPF4HG63G06nE0ajke89\\\n",
       "VKvVaG9vx8c//nHeVEc69F4URajVajQ0NMDhcCAQCPDrw8KzVquFwWBAR0cHRkZG+HJWm82G9vZ2\\\n",
       "NDQ0wGKx8MCu1+ur9hAWCgWkUimEQiEMDw+jv78fPT09fJYjAIyOjmLfvn28oY9cLofZbMbw8DDi\\\n",
       "8ThaW1uh0WhgMpnQ0tICrVaL1tZWfh0GBgbw+uuvY9u2bYjFYifqK3rG+Sj2EEqfp1arIQjCMb0O\\\n",
       "IYQcDwqEhJzmrr32Wlx33XX4/+3deZCddZkv8O9Z37Ov3afX9JKdhCxsCcFSFKPcGRVRFMs7IuNw\\\n",
       "Hb2CV83ULbTuFWZq7r3MqCWgg/LHVZyymFFgxhkUdeQGZYcYEsiedDrpvfvs+77dP6jnx3sOCUmA\\\n",
       "JB3O91PVlfTp95zzvm83VH/z/H7P8573vOd8nwqdRfqmKLKMMpvNtoQXCVMSoLxer1o2mkqlVNXt\\\n",
       "RKFP/tQ/rh/Q3v64LOHs6+vD0NAQPB6PCpz6WYjyfH1nT1l+qn9fCUlyvDxfKpAS5OQaq9Wq6jq6\\\n",
       "ZMkSbNmyBcPDw1i2bBlsNhvK5TLcbjdMJhNmZ2fhdDrVHEbZZ2kymeByubB06VJVbWo0GupeSXdW\\\n",
       "t9utOqE2Gg21RNfn88Hr9cLj8WDp0qXIZrPweDwol8vo6enB+vXrMTIyoprCWK1W9f2TMSDJZBKZ\\\n",
       "TAapVAqlUgnNZhMTExPYu3cv7HY7ACCXyyGTyajvNQAkEgnE43FkMhmUy2UsXboUgUAAvb296k+3\\\n",
       "2632K7b/QwCd2psJhM8991zL4ytXrsTGjRvf8LlXXnkldu3ahUqlopb3EhGdSwyERBe4dDqNrVu3\\\n",
       "Ynh4GJ/73Odw8803Y2Bg4HyfFr2NJChJhclsNiOdTqNSqbTM4JOliDK2QdM0lMtltdyyVqupQKF/\\\n",
       "bfllVv93k8kEi8UCq9WqXleOkf1xS5Yswbp167By5UpomqbmFkqVUPb1ScMZqYDIstVqtareS5bC\\\n",
       "WiwWFSQtFgtcLhdCoRAGBwfR3d0Ng8GATCaj9uk5HA4sX74cGzZsQG9vr1oqK1XHbDarjq9UKiqI\\\n",
       "6q/F4/FgZGQEkUgE6XRa7be0Wq2o1WqwWCzo6+trmd3Y09Ojuos6nU709vbCbDZj2bJlMBgMqkmM\\\n",
       "0+lUATYQCKBYLMJkMqGnpwdmsxnz8/NqhEalUlHVXtk7KmFZvndy7nKszKS02+1YtWoVuru7EQqF\\\n",
       "EAgEVEMan8+nHgNe3a9Ip/ZmAuG9996Le++9t+XxNwrh7d1fT2eEChHR242BkOgC92//9m+IRqP4\\\n",
       "6U9/in/8x3/EnXfeia1bt+KWW27BRz/6Uc4kfIeQJYYWi+V11bz2fUjyi6w0d5EwIb+YSnjUf+jp\\\n",
       "G9XY7XY0m01VvdIHtd7eXoyOjmJkZESNwYjFYkgkEmofnM1mU+HI5XIhm81ienoa4XBYDbWX65IA\\\n",
       "arVaW6pwfX196O3thdfrRblcVoFRwqbf74ff71ddTuX+SBdWWZop+/vafwnX70PM5XJqD6MsS5Ul\\\n",
       "mh6PR835k06vUmmU6/R4POr+SJfQSqUCp9MJj8eDfD4Pu92Ovr4+Fbanp6cxNzenmvtICASglvFK\\\n",
       "GNSfu4TveDyORCKhgrj++ylLVYPBILq7uwEACwsLb9eP5TvamwmEX/nKV3DVVVepx8+kSYzFYlH/\\\n",
       "SEJEdC4xEBK9A3R3d2Pbtm3Ytm0bdu3ahQceeAA33XQTXC4XPvOZz+BLX/oSVqxYcb5Pk94CfUMZ\\\n",
       "CXftwUaWckqgAl6rJLUHCv3xMvReAp/dbkd3dzeGh4fh9/uRy+UwNzeHRCKhxhYsX74c7373u3H5\\\n",
       "5Zejr68PRqMRIyMj8Hq9cLlcmJqaQrPZRH9/P1avXo1ly5bB4XAgk8ngyJEjOHDgAObn59WeKf35\\\n",
       "SPdNaZDT398Pn88Ho9GIeDyObDaL+fl5lEolBAIBDA0NqTENNpsNANSyTJvNppbNzs3NIZ1OIxgM\\\n",
       "qmANQAVCj8ejqoSxWAw2m00tMx0eHsbatWsRi8XgdruxZs0aNTtRupsGAgF1vDzebDZRqVTQ1dWF\\\n",
       "wcFB1R1UAuGSJUvU0tD9+/cjGo2qpb0SXtsrTPr9pNI99PDhw3A6nS3vKyNATCYTVq1aBZ/Ph0Kh\\\n",
       "gAMHDpzdH9YOdtVVV+HGG298U89lGCSi84WBkOgdZH5+Ho8//jgef/xxmEwm/Omf/in27t2LNWvW\\\n",
       "4Fvf+ha+9rWvne9TpDPUXsmr1Wool8st3UD1g+FlaLvNZlMNWGTvWHuAlD2JUqmS5ZADAwPYvHkz\\\n",
       "rrjiCgQCASSTSRw4cABHjhxBsVhEV1cX1q9fjyuuuALDw8NwuVwwGAzwer1q/MXU1BTMZjNGRkYw\\\n",
       "MjICv9+vxksMDAxgxYoViMViKvwUi0X1d1nG2d/fr5qryP69eDyOarWKVCqlum12d3fD4XBA0zQ1\\\n",
       "jxCAuq5UKoWZmRnU63WsWLECfX19qpKovx/1eh3ZbBbpdFotdw2FQrBaraoKms1m4XQ6MTAwgFAo\\\n",
       "pO61w+FQzWra5yAaDAa4XC709PTA6/WqiqbVakUgEIDX60VXVxcGBgawZ88ezM7OIpPJoFAoqHmL\\\n",
       "+n8EkD+lyU6hUMDs7CxsNhvy+TxmZmbQ1dUFp9Op7oncc7vdju985zvn6Kf3wnY2m8ps3LgRL7/8\\\n",
       "MkwmEz7xiU/gscceAwA4HI4zPk8ioreKgZDoAletVvHoo4/igQcewO9+9zusX78eX/3qV/Gf//N/\\\n",
       "hsfjAQD84he/wF/8xV8wEF6AZOyCyWRCvV5XIyNOFAilwiYhQMY06PeeCf3ICBm9YLFYEAwGsXHj\\\n",
       "Rrzvfe/D6tWr1bD4gYEBLFu2DJlMRu256+vrU6FD5gH29PTAaDSiu7sbVqtVzfWzWq0AoGYnyqB4\\\n",
       "qYRJk5x8Po9araaWpPb29qplmMCrQ+plj6CM2ZDX1zexkX2JMnphdnYWqVQKfX19GBkZgd1uVwPb\\\n",
       "pdNpPB7H9PQ0CoUCMpkMarUaNE2Dpmno6uqCw+FQ4zHcbjecTiccDocKhRIi9WRJrP5e+3w+tRfU\\\n",
       "ZrPBbrfD6/VicHAQq1atwssvv4zx8XHEYjEVDIvFIkqlktpj2N55NZ/PY25uDtlsFocPH1b7K3t7\\\n",
       "e7FmzRqsX79ejaig03M2A+Hu3bvR3d2NWCyGhx56CMCr/23k8/kzPk8ioreKgZDoAtfX14dGo4FP\\\n",
       "f/rT2LFjxwk72r3vfe+Dz+c75+dGb52EFrPZrPbBlctlNQBdT/YM5vN51UxGhp3r6ffNdXV1qf1w\\\n",
       "fr8fw8PD2LhxI5YvX66qWFJ9CwQCKBQKMBgMqmtn+5xBs9kMr9ergqLdbldhToKp0WhUe+wkQEk1\\\n",
       "s1QqqYH0Ho9HVR3NZrOqYEoIkyWQ0jxFrk2//DWTyWBiYgLT09NoNpuqwcz111+PoaEhWCwWtQ8v\\\n",
       "EokgHo8jmUwiHo8jnU6rZZ0ulwter1eFO7vdrgKhBPD28RpyDhLoNU2D0WhUVVlZqmuxWGCz2VRV\\\n",
       "dM2aNTh27BhisRiy2SxSqRQmJydx8OBBTE9Pt4QGfWiRUC0dRc1ms6piXnnllQgGg6xAnaE3O07i\\\n",
       "dESj0bP22kREZ4KBkOgCd/fdd+OTn/yk2jt1Ij6fD8ePHz+HZ0VvF6fTqf4uHURlCWF7kxEJVdII\\\n",
       "RY5tXy4KvNY4xu12IxQKoaenB/39/RgeHsbg4KAa8SDvIcdrmqYeq1QqahSC0WhUQ+XL5bJqtqKf\\\n",
       "K1gqlVRAlUYssucNgAqQ+iHr+uWyshRT0zT4/X4Eg0Hk83mkUqmWcRdGo1E1ZsnlcqrLqswafPbZ\\\n",
       "Z9Hf3w+z2Qyfz6eWZbpcLgSDQbU8s1wuY2FhQXUblXAr1yv3SL9EVD83Ua99/2b7clUJhtJV1WAw\\\n",
       "oLe3F9VqFfl8Ht3d3cjlcmqPofxjgOy59Hg80DRNDbmXa8rn86hWq2pfaXsFk07uXMwhJCJaDBgI\\\n",
       "iS5wN9100/k+BTqLpAJcLpeRzWZVZbB92aBU6SQsAq91qDxRQAFe20co+9uGh4exZMkSVRmUUFWp\\\n",
       "VNQsvHK5rEZg6IfK1+t1tazRaDQiEAjAbDar4BiLxTA/P498Pg+n04lQKKQa4Eigkj/lOXJtcq7y\\\n",
       "p4Qn4NUqSy6XU6/Z09MDTdPUPZPh8iaTSe2/nJubU0v2RkdH1XksWbIEzWYT4XAYmUxGdVdNJBJo\\\n",
       "NptwOp2qG2q1WlWVPf01nOheS+W2UqnAbDafcD+nfP+kchsIBOB2u9FoNFTFr7+/H2NjY8jn8+p+\\\n",
       "eTweDA4OYmBgALVaDZOTk8hkMuo+ybxI/Z7Jk/08XEgeeeQR7N+//6y+BwMhEXUKBkIiokVsy5Yt\\\n",
       "KJfLiEajmJiYUEsqhf6Xe2k4IqMH2iuIQn55bTQaKkDqRyXInkIJVfF4HDMzMwiHw2g0GggEAggG\\\n",
       "g2rOoYS9SCSCUqmEYDCIiy66CMPDwzCZTFhYWMCuXbswNjamupGuW7dOVa1kWaXsh6vX66jVaq8b\\\n",
       "t9BehctkMjh27BiKxSIKhYKaiyjdP2X23+joKBKJhGpE02w2kUwmsbCwAL/fD5/Pp5rpeDweDAwM\\\n",
       "IJFIIJPJqGphqVRSQVTujQRJqXZKdVIfDuQaisUiMplMSyOfE4VIfaVQgqTJZILX60UoFEIoFFLV\\\n",
       "Tr/fj7Vr1+LSSy9FMBhELBaD2WxGsVhUjXEGBwexdOlStVT0nRAGzxUGQiLqFAyERESL2Ac+8AGU\\\n",
       "SiVMTU3BZDIhlUohl8u97riTLVNs1x5WZBmnVNP0SzhLpRIWFhawe/du7NixA7Ozs3A6nVi7di02\\\n",
       "btyoOpDu27cPu3fvxuzsLKrVKvx+P+bm5nDxxRfDbDbj0KFDeOmllxCJRKBpmgorEjxdLheMRiPq\\\n",
       "9ToqlYpadqppGhwOx+uuQyqIkUgEU1NTSCaTSKfTmJiYQLPZxMUXX6wqlMPDw7j66qthMBhw9OhR\\\n",
       "FItFFXolcAFQzWNk/EQwGFRD6g0GA6xWKzRNa9nzKHMDS6USXC4XHA5HS3MbqbAWCgUVqmWfoeyJ\\\n",
       "lEAspPoqlURZ+imzBJctWwav1wuv14tLLrkEmzZtQn9/P0wmE5LJpGpYMzMzA6fTiSuvvBLr1q2D\\\n",
       "0+k8aQWTiIg6GwMhEdEitmrVKlQqFfh8PqTTaRw9ehSxWKzlmPYq4YmqTvq/6ytylUoF+XweuVxO\\\n",
       "dbCUzpvpdBqvvPIKHn30Uezbtw/5fB4OhwPVahWjo6Po6uoCAITDYYyPjyMcDqNWqyESiaj9bk6n\\\n",
       "E1NTU5ienkYul4OmaaoCJkFQRlIUi0Xk83lVjQsGg/B6va+7J1K5TCaTyGazyGaz6nrm5+exdOlS\\\n",
       "Naqir68PmzZtgs1mQ1dXFxYWFmCxWNDb26vm9ukbv8isR5vNBqfTCZ/P1xKUpYop+yIXFhYwNTWl\\\n",
       "uo9K9dTtdqtGQPF4HGNjY5iYmFD3tVKpYHBwEB6PRzXnAaD2XUpXWdkParFYEAqFsGHDBlgsFoyO\\\n",
       "jmLVqlWqm6vBYFAdV5csWYLp6Wk4HA4sX74cQ0NDqjkRA+HpY4WQiDoFAyER0SIm3TorlQr6+vrg\\\n",
       "9XpVRel0f7nXL7WU8COvUa1WkcvlkE6nVYMYaV4zPT2Np59+Gq+88gpisZha+jg3N4dGowGXy6WW\\\n",
       "nMp4BNkrJwKBANLptFoCWqlUkE6nMTMzo8ZFFAoFNWMwFouhUqnA6/XCbDajr6+v5VpkWazMV5RR\\\n",
       "G1arFTabDS6XSw2kt9lsqqon4x8mJyfVUlIJY9IAR9/1U6qFXq9X3TfgtcY+pVIJmUxGDYUfHx9X\\\n",
       "S0K7u7sxPDyM/v5+NRtwdnYWc3NzKJVKmJ6exuzsLNatW4dVq1ap8Nq+lxKA+rvFYkFfXx8GBgbg\\\n",
       "9/sRCoXU/dNXHa1WKzweD1asWKH2PTqdzpYwS6eHgZCIOgUDIRHRIiYBTapU+nEF+mYkpwqH7QPu\\\n",
       "m80mqtUqCoUCUqkUotEoEomEagyTyWRw4MAB7N27F8lkUs09rFarKBaLakyCjKCQipmcqyxF9Xq9\\\n",
       "0DQNNpsNtVpNLaNMp9OYn59HMBhEs9lEuVzG9PQ0pqenUa/X0d/fj1AopJ4jH7LMU5aUSgOcvr4+\\\n",
       "9PX1YXh4GD6fr2VIvd1uR1dXlxouXygU4HA4VLMV2fvXHpZPdO9kWavJZEKhUEA2m8XY2Bj27duH\\\n",
       "RCKBWq2murdK51aPx4NqtYp0Oo1cLoe5uTl1rclkEpdeein6+vrUElp9uJDrljEXTqcTHo9HdTxt\\\n",
       "73BqMBjUrMZKpaKW4upfj6MnTg8DIRF1CgZCIqJFLJPJoFqtqgocgNcFFuDUv5Dqg6M0k5FwVavV\\\n",
       "YLVaMTExgZGRETQaDczNzWHXrl2Yn59XYVD/IYPdm80mXC6Xeg/9h4x1kGWZBoMB5XIZAFrGUBQK\\\n",
       "BZRKJaRSKcTjcTXioVgsqgqkdOaUzqaVSgUejwcjIyOo1+sYHh5Gb28vBgYGVEVMlpGaTCbY7XYV\\\n",
       "PvP5vOquqg+EJ6qgyn2Tr0tgq1arAIBsNotIJIJkMolcLod6vQ6DwYB8Po98Po9isYiBgQG1hBSA\\\n",
       "aoIj4zlk/6GM2dC/t1RWZf6iy+U6aQMbvUajgWKxiEql0vKPAM1mE36//0x/DDsSAyERdQoGQiKi\\\n",
       "RWxhYUEFQtkrJ/vZ2gfT6yuFJ9tXKH+X7pcSCAFgz549ai7h0aNHsXfvXmSzWVX1a3892XcnIyD0\\\n",
       "52EymeDz+TAyMqL2CwJAMplErVZr2bcn+9tk4Hy1WlUBScKrhCTZ8yiBcOnSpdA0TY3L8Pv9Kljp\\\n",
       "R1aYzWY4nU7U63XY7XbVvEWawOg7r+qvU+6N2WxWgU6+JqNAcrmc6vwpHV5laWmtVoPZbFZLfW02\\\n",
       "G2KxGAqFAprNJrLZLKLRKLLZLDwej2paI+8tgdhsNqvzbQ+D+uqpzB4Mh8OYmZlBPB5X4VU60K5e\\\n",
       "vfrMfxA7EAMhEXUKBkIiokUskUigXq+r0CENRvQjC/RLBgG8LhSeaElp+1LTYrGIaDSK48ePq3EO\\\n",
       "qVTqdWEQeG2ungSME806lMpXV1cXvF4vKpUKotGoqnJK8xbZryehSQbFS7dMfXiVPYgSvjRNU8d5\\\n",
       "vV64XC4VBvXXKffAZDLBarUCgLqPUr2U69LfQ+nCKrMMm82mWoJZrVZVN9QT7cvTN6nRNA1Op1Pt\\\n",
       "95OAJ81rjEZjy2xJ/fgQWYarXyZ8oiWlcqxUWufn5zExMaFGgcjSY+4hJCKidgyERESL2N69e9VS\\\n",
       "SenS6fV6kc/nWypYAFR4OlX40/8pjxcKBczOzqJcLsNmsyGZTCKRSKjlonrVahWpVEp1BU0mky3B\\\n",
       "0WAwwGazYcmSJbjooovg8/ng9/tRKpVQq9WQyWRgt9vhdrvh8Xjg9XpVOPL5fGoPoTRlkWpcqVRC\\\n",
       "NptFOp1GoVCA3W6H1+uFx+OB3+9X8/3a74O+W6c0mpEKp9zbarWKSqWilnxKB9ZkMolGo6HGUVit\\\n",
       "VvV4OBxGLpdToU//PlarVe338/l8qolNo9FAT0+PqvaGQiH09PTAZrOp74kEvEqlgmKxiFwup+5X\\\n",
       "+/dVP9oiFothamoKY2NjOHr0KGZnZ5FIJFRFVSqWdHpYISSiTsFASES0iO3YsUMtb5TA09PTg2q1\\\n",
       "img0qjqDvlFTmRP9stp+fL1eR6FQQDgchtFoRLlcVmMo5HgJSvV6HfF4HMlkEslkErOzsy3HSiAc\\\n",
       "Hh7GyMiICm2ypy4cDsNiscDn88HtdqvOoF6vF93d3TCZTGr5pwSlYrGIeDyOSCSCTCYDg8EAr9er\\\n",
       "RlM4HI6WpbRyT9qrmHKMhMZKpYJCoaACcDabVfsry+UyEokEAMDtdiMYDMJut6uRFwsLC6jX6+ju\\\n",
       "7gYA5HI5tRxW0zS43W7VCVRGbdjtdoRCIVUl9Pl8LSMwAKiln7lcTu1PdLvdcDgcqvGMfs5hKpXC\\\n",
       "kSNH8Pzzz2P//v0Ih8NqfEc+n1f7FeW66PQwEBJRp2AgJCJaxMbGxmA0GlWnzFAohP7+fjW4PBqN\\\n",
       "qiWBUjES7UtJxYkqiPpqo9FoVEtCT/Sa0jQlEomocQrSDVSOsdvt6OvrQyAQUGFn+fLlaih9s9ls\\\n",
       "GfugXzZqNptbwk+lUkEmk8HExASOHz+OUqmEnp4edHd3q7Cp3zconVBLpZLaPydVPJvNpvYMSgVu\\\n",
       "bm4Ohw4dwuHDhxEOh1uW5sreQdnfaDKZVFgGAIfDgXXr1qkwJwFTqnJms1l1JpXjZZSINIpxu91q\\\n",
       "X6N8HzKZDKamprB//37E43EEg0GYzWZ1T+R1M5kM9uzZg3/7t3/Djh07EI/H0Wg01LLiSqWCUqmk\\\n",
       "7gXnEJ4+BkIi6hQMhEREi1g8HlcVJwAIBoPo7u6G0+lEPp9HJpNR+9z01Z/2rpn66p5UzNq1d9ls\\\n",
       "/4VY9uE5nU4YjUYkk0lMTEwgHo+37E0zGo1qX59Ux2w2G4LBIIaGhlQ10uFwqADXaDRa9hXKfjvZ\\\n",
       "xxcOh3Hw4EGMjY2pYCTLMmUfniwtzWQymJ+fx9zcHAqFAjRNQ3d3N/r6+tRyUVkSGo1GsWfPHjz7\\\n",
       "7LM4cuQI0uk0Go0G7HY7/H4/lixZAqPRqJbGSudTi8WC7u5uLFmyBKtWrUJ/fz8cDgdqtRpisRiO\\\n",
       "Hz+O48ePq2W3hUIBlUoFFosFXq8XbrdbVXwlFMs+wEwmg6NHj+LZZ5/F/v37kc/n0dPTA6PRqO69\\\n",
       "pmkolUo4evQofvOb3+Cpp55COBxWTWycTifsdjs0TUO1Wm3pNEqnh4GQiDoFAyER0SJWKpVgMBjU\\\n",
       "aIhisQiXy4VAIIBoNIqpqamWDqLAaw1N7Ha7Wo5pNBrV3DwZR9Be+ZOgpWkayuUy8vl8yzJDk8kE\\\n",
       "h8OhZuuVy2VVoZQlpfI6MutOuphK1crv9yOfzyOVSqHRaKh9kRIc9YPWZW9fOp3G1NQUxsfHMTs7\\\n",
       "C5fLhXK5rMKjvimM7IV86aWXcOTIEdW9c82aNbDb7aqaWK/Xkc1mMTk5iVdeeQUHDx5EJBJRs/sM\\\n",
       "BgM0TcPKlSvh8XiQy+WwsLCAQqGgwqvP58Po6ChWrlyJnp4etY8wEAjAaDQim82qe6i/B06nU81A\\\n",
       "lHOv1WqoVCpIpVIYGxvDk08+iT/+8Y9YWFhAs9lELBZTnVhrtRpcLhdSqRR27NiBl19+GYlEQo2Y\\\n",
       "kEDY1dUFo9GIRCKh5i9KxZROjYGQiDoFAyER0SJWq9VaGr8UCgVYrVZ0dXWhr68PDodDhQr5pdRk\\\n",
       "MqmRDBs2bMDQ0BAMBgPm5uawf/9+HDt2DNFoVC3z1IeInp4eeL1eNTg+l8up19Y0DaFQCBdddJHa\\\n",
       "xyhzBdvHSFitVqTTacRiMbjdbjU/UCpk1WoVyWQSkUgE2WxWBTEJhrIPsFgsIpFIIBwOq0Y2mqap\\\n",
       "AKzvnikVv/3792Pnzp04duwYSqWSalozMDCAQCAAACiXywiHwzh69CimpqbU/j8AsFgsCIVC2LJl\\\n",
       "Cz784Q9D0zTE43EcOXIE4+PjyOfz8Hg8WL58OYaGhhAMBtUexnq9rhrQSBVQgrc+WMtexmaziVKp\\\n",
       "pKqaBw8exB//+Ee8/PLLmJ+fR7FYhMFgQLFYVPckHA6ju7sb2WwWR44cQbFYhNlsVsth/X4/hoeH\\\n",
       "MTAwAKvVqhrgSIWTiIhIj4GQiGgRkxDRbDZRLBaRSqXQbDYRCAQwMjKCnp4eRKNRVcmTMHjppZfi\\\n",
       "k5/8JDZt2oRgMAij0YhisYjJyUn8/ve/x0MPPaSeZzAY4Ha7MTo6ivXr18PpdOLQoUPIZDJqXp7Z\\\n",
       "bEYgEMDGjRtx6aWXqve12WxwOp0oFAqo1WpqeabD4cCRI0cQi8Vgs9nUEkxpjuJwODA1NYWjR4+i\\\n",
       "UCggFArhkksuwfr162E2m1XYy2QyqtmLVMhsNhtKpRJmZ2fV8klZPrt37168+OKLOHz4MBKJhFpy\\\n",
       "evz4cfT19aklr8lkEocOHcLBgwdRLBZht9tV9W7t2rX42Mc+hi1btqCrq0uFtqVLl2JhYQG5XA5W\\\n",
       "q1U1vpGAKp1KM5kMUqmU2osIvNpwZnZ2Vs09lO9VKpXC3r178fTTT2Pfvn2qc2mlUmnZl1kul9Vr\\\n",
       "vPTSS+jv78fg4CCcTicuv/xytY/UarXC6/Wiq6sLbrdb7ffMZDJqdAmdHlYIiahTMBASES1i7d09\\\n",
       "S6USKpWKmvMnnThLpRIajQasViu6u7tx8cUXY/Xq1QiFQnA6nTCZTCqMmc1mHDt2DPv27WsZf7Bm\\\n",
       "zRosX74c1WoVJpPpdY1lpIJnMBhU+DGbzfB4PKppitvtRm9vL9xuN5LJJObn51Eul+F0OrFs2TIs\\\n",
       "X74cHo8HZrNZ7ZdLJBIolUpqj6Hf74fRaFTvIdcmS0oNBgMSiQQOHz6MWCwGk8mETCaDTCaDsbEx\\\n",
       "TE9PI5vNqo6fcr6RSETNHYxGo5iZmUEqlYKmaejt7YXL5cKyZctw9dVX44orrkAwGFTVSovFogKW\\\n",
       "vK7s/6vVaiiXyygUCohEIhgfH8f4+DjC4bCqfkplLxaLIRqNor+/H/V6HQcPHsRzzz2HY8eOqXM+\\\n",
       "0T4/+d5Xq1X1/RkaGsLatWsxMDAAm82m7pdUbqXLqFRfpVJKp4eBkIg6BQMhEdEi1x4KK5WKCn/S\\\n",
       "oKRcLqPRaMDlcmFgYABDQ0OqqYssTwSgljq+733vg91ux+zsLACgp6cHy5cvR1dXF+LxuBq6Lg1o\\\n",
       "pBHMwsICpqenUa/XkUgk1NxCv98Ph8OBvr4+9Pb2wmazqSWj8XgcVqsVjUYDXq9XLW202WwwmUwq\\\n",
       "7GSzWbXPzWKxoFaroVgsqrEJ0klVOoPG43HV3VMCkIzDkICqX0opDXgKhYKaz9doNOB0OhEKhbBs\\\n",
       "2TJs2LABa9euhd/vV5U82d9Xq9VgsVigaZoaXVGr1ZBMJjE1NYU9e/bglVdeUYFUZhIaDAa1rNVi\\\n",
       "seDQoUNwuVwoFAqYnp5uGR4PvNbcR8KrfnyGNMOp1+vo6enB+vXrsWTJEhVMi8WiCuLyp1Q0fT4f\\\n",
       "fD7fuf8BvkAxEBJRp2AgJCJa5PTjI/RD16VJSzAYVNU8n8+HUCgEl8ul5tXJBwBV6dq4cSMAqCWb\\\n",
       "LpdLjXyoVqsqoMh71et15PN5TExMwO12IxqNolKpIBaLoVarwW63q1A5ODgIg8GAmZkZzM/Pqypf\\\n",
       "OBxGNBpFKBRq2Qcp4VYqh/oQVigUkE6nVYMW/XJK/SB4/VxBqShKFU+6kGYyGVQqFaTTaeRyOTQa\\\n",
       "DdhsNgQCAQwMDOCiiy7C0qVL4fV6W/b3ybzFer0Op9Op7m29Xkc6ncbLL7+M3/zmN9i5cydisVjL\\\n",
       "vsr2UCedWk0mkxqPIQFf//22WCzweDxwuVyqkirXZTAY4HQ6MTo6isHBQfh8PtWlVOY2xmIxZDIZ\\\n",
       "LCwsoFwuq8AeDAbP4U/uhY2BkIg6BQMhEdEipg+D+oAhw99DoRAGBgYAANVqFR6PB3a7XS1jlACh\\\n",
       "fx0ZmTA6Oqqaq8jMOv0MPf1Qenn9WCymOnIaDAa1JNLlcsFqtaKnpwfDw8NqELsMRM9kMmrgfb1e\\\n",
       "h91ux9DQEKxWK0ZHR2EymdDf34+uri61nFQGxkciEUQiEcTjcRWMyuWyagIj4yr03Un190z2IkrA\\\n",
       "kxEQ0gQHAOx2e8sIC6nEjo+PY+/evZifn1fV1SVLlsDpdKJUKmFsbAyPPfYYnn76acTjcTXrT95b\\\n",
       "KontS2/l+yFVT/33WxrDrF+/HitXrkQ2m8W+ffswNTWFYrEIm82Grq4uDAwMwOl0qmuX95XrkDmL\\\n",
       "EhRlZAmdPgY9IuoEDIRERIuYhDkZlC5LLxuNBhwOhwpgzWYT2WxWhalUKoVsNtsSOGTZqTRicTgc\\\n",
       "LXvgms0m7HY70uk06vW6qjDqSSdP6T4qe97kNVwuF3p6euByuRAKheD3+9Hd3Y2pqSkAgM/ng6Zp\\\n",
       "8Hq96O3txfDwsAqtMgi+0Wggm80iGo1icnISExMTmJubU8s8JWRKFVCGzksw1M/cK5fLSCaTyGQy\\\n",
       "atmmVOPMZrMar5FKpVQlUkZfpFIp/PKXv8TOnTuRyWTQ3d2NVCqFWq2GYDCIdDqNF154Abt371Zj\\\n",
       "H/T3Wsj3S98gSN+VVQIjADVrcPny5fiTP/kTrF27FsViEX19fXjiiScwPz8Pm82G/v5+BAIB9Q8E\\\n",
       "Eghliax+1qHBYEBXVxe6urrg9XrP4k8rERFdiBgIiYgWMWmiYjKZ1Ny6fD6PfD6vOnzKCIJ6vY5y\\\n",
       "uYxsNouFhQVEo1EsXbr0hE1KpCtmNptVTV2k22Ymk1FzDGV5JvBayJHHJORIYC2VSnA6nfD7/fB4\\\n",
       "PDAYDAgGgxgcHMTMzIzaSxgIBBAIBODxeFT4klAkcwez2SyOHj2KPXv2YHx8HLFYTIVBWS4qwQqA\\\n",
       "CkZynhJS9csx5T6azWY1IkJm/01OTsLlcgEAuru7Ua1WceTIETz++OOYnZ1FvV5HLBZTMwUHBweR\\\n",
       "TCaxf/9+JJNJdY+A15aKyt5FafKiPw+r1aqGxzcaDRVyTSYTuru7sXr1aqxatQpDQ0NoNpswmUzI\\\n",
       "ZrN45ZVXYDabsWTJErjdbhUo5XVlmazP50NfXx8ikQgAIBgMwuVyQdO0t/1n9J2KS0aJqFMwEBIR\\\n",
       "LWI+n08FOqnmRSIRzM/Pw2KxwGQyqQHtMqswk8mgWq0iEAhgdHRU7Q0UEgbT6TTi8bgakSAdKhuN\\\n",
       "BjweD7q7u2G1WlWo0jeYkVBWr9dhNBpVIHK73SroGI1G2Gw2OBwOeL1etb9OZvTplzsCUKMYstks\\\n",
       "wuEwXnnlFRw6dAixWEx12NTva5QP4LXZfjJ0Xq5Rrgd4rcGMdAeV0JhOp9FoNFSzGo/Hg3w+j2PH\\\n",
       "jmFiYgKFQgHAq9XQiYkJaJqGbDarwjeAliWbMpKiv78fNpsN0WgUCwsLagagVPguvvhiDA8Pw2g0\\\n",
       "IhwOY3Z2Vs047OrqUhVTi8WC/v5+bNiwQX0vBgYG1D0GWgOJzIIMBoPo6elBvV6Hy+VS4zzo9DAQ\\\n",
       "ElGnYCAkIlrEfD5fS2fRfD6P2dlZuN1umM1muN1uVd3LZDKIx+MoFosqRAUCARUMJBTqm6UkEgk1\\\n",
       "lN1oNMJut8PhcGBwcBBer1ftt6tWqygUCshms8hms2qmnVTpzGYzXC4XXC6XCqr6ZjbSHCWfz0PT\\\n",
       "NBV29BUuACpczs3NYWJiAvF4vKVJjDR7kWAjS2ldLhfsdjtsNhuKxaLaqyiVTHmu1+tFT08PLBYL\\\n",
       "MpkM0uk0CoUCisUi0uk0ZmdnYbFYWprP1Ot1NbpCjsvlcmrkhtfrRa1WQ61WU/soN27ciHXr1sFs\\\n",
       "NuPQoUPYtWsXIpEIjEYjBgcH8d73vhdXXXUV+vr60Gw2EYlEcPDgQYyNjamxItlsFqVSSVWH+/r6\\\n",
       "1L5PaSQj9Ps9pSmPBGx9ZbdUKp2Tn9t3AgZCIuoUDIRERIuYVOT0M/n0+/tCoRCKxSKi0aga8VAo\\\n",
       "FNBoNJBIJFAsFuF0OnHttdeq+X7SMVQGvutDgnT/dDgcLc1VZDB6PB5HJBJBOBxGMplEsViEwWBQ\\\n",
       "ewVlzp2+gichRc5fxjXog508R84tHA4jn8+rbqrSmVM/i1HmA/p8PgwMDMDtdsNut6tKZKFQaAmO\\\n",
       "brcba9euxUUXXYRarYaDBw8in88jm82iWq0il8shnU6roCV7AvV7OG02G9xut9qPJ8105ubmUK/X\\\n",
       "0dXVhQ0bNuDSSy/F4OAg6vW6mgU5MzMDh8OBDRs2YNOmTRgaGoLdblfdS2u1GkqlEhYWFlCtVpFI\\\n",
       "JBCPx9W5GAwGaJqmfhaKxSJqtZoKfVLxzGazmJqawtjYmAq4mqbBZrOxQngGGAiJqFMwEBIRLWLJ\\\n",
       "ZFJVfGRZpiydrFarar/bwsICIpGI6vrZaDRQKBTwyiuv4P7770e9Xsc111wDr9eLer2u5vUVCgUV\\\n",
       "KkwmExwOBwKBALq7u2G321VjFpkFKMsko9Eo5ubm1L667u5u9Pb2quAnS0ElwEWjUTWs3eVyqVDr\\\n",
       "dDpV1U/CoMzQkwqcjKRwOByoVCpIJpNIpVKoVqvQNA2Dg4O46KKL4PP5YLfbMTMzo8ZVyC/qmqZh\\\n",
       "2bJl+JM/+ROsXLkSyWQS+Xwex48fV3v8AKg9eNLARz+uIxAIYPny5bj00kuxZs0a+P1+VCoVXHzx\\\n",
       "xYhGo2g2m+jp6cHQ0BC6u7tVp09p4pNOp+HxeDA8PIy+vj44nc6W15fGOPV6Xe0DdTgc6vsdDocR\\\n",
       "iUTUPZcqsdfrhdFoVCFy//79eOaZZ3Do0CEUi0V4vV5V0e3q6joPP8UXJgZCIuoUDIRERItYLpdr\\\n",
       "qbIBUPv3KpUKIpEIGo0GcrmcGuoue+zk+Xv37sXdd9+No0ePYsuWLXC73Thy5Aii0agKQmazGVar\\\n",
       "Ve33CwQCcDgcKlhK908JLdLJNBKJIJVKwWQyIRgMolQqqbBmMBhQLBYxPz+Pl19+GTt37sTc3Bxs\\\n",
       "NhvWr1+Pq6++GitXroTL5YLBYEChUMDExITq2ulyuRAMBtHX16cCVKFQwNTUFCYnJ5HNZqFpGgYG\\\n",
       "BrBkyRL4/X7Y7XaYzWYsLCxgfn5eVT99Ph+uuuoqbNmyBcFgEPF4HAcPHlRVRxlVIZXAQCAAn8+n\\\n",
       "mvo4nU4MDQ2ppaC9vb0tgblUKqHZbMJqtap7JNVFmWsonWG9Xi/sdrsKwtJURiqUMvNQPtLpNGq1\\\n",
       "Go4fP46DBw8iHA5j3759GB8fx4YNGzA0NASz2Yx4PI4DBw5g9+7dmJqaQi6Xg8FggMvlQiwWQyKR\\\n",
       "wODg4Hn4Kb4wMRASUadgICQiWsSq1ar6u36fmHStlOWhJ2q4AkAFrbGxMfzkJz/B008/jeHhYZjN\\\n",
       "ZqTTaZRKpZblkA6HAw6HQ+3Hk314ch5utxtutxtWq1XNF4zH40in02g2m5ifn0cmk4HFYkGxWMTU\\\n",
       "1BT27NmDffv2YXZ2Vi0xfeWVV/Diiy9iy5YtWLVqFTRNQyQSwb59+zA2Nqaaq6xYsQJr165FKBRS\\\n",
       "5yx7/KSqabPZ1J5E6d4pFUUJsyMjI9i8eTN6e3vVdXV1dam5g7Is1G63Y3BwEFdccQUuvvhiVVGT\\\n",
       "2X89PT0IBALqeQBamu20L5GVcRrSEVSWbuqrouVyGalUCnNzc5iensb8/Lxa+pnP59V+0OPHj2N8\\\n",
       "fFwFxqNHj+L5559XVdZSqYRMJqOqgfIPCNKVNp1OY35+/h0RXq6//nps2LDhfJ8GEdE7AgMhEdEi\\\n",
       "9kZ7vvRz9fRhpH1fHvDa/MBMJoOxsTG1pNFqtarxCNJ9U9M09SFLU/UNZCQ8apqGZrOJYrGIRCKB\\\n",
       "hYUF1aQlm80iEolgbm5OzS3Uj4CQ/YgHDhyA3++Hpmkq0NRqNdhsNtjtdjWA3e/3q3AqFTj9rEHp\\\n",
       "9lmpVJDL5dT+QmmSs2LFCgwMDLSMuZB5fbJ002q1YmRkBB/84AfxgQ98AENDQ3A4HOpeyj2SERcS\\\n",
       "rPQhUN+BVT6X5+qXoepDYy6XQzgcxuTkJGZnZxGLxVQDHmn+UywWMTs7q/aIyuumUqmWSpa8rtxn\\\n",
       "oHUfqsyPpFNjhZCIOgUDIRHRIqav9MmHVMZkdp8sTZQ/T/Y60nlSmsRItU+WMOqHvWuapmbk6Wf6\\\n",
       "AVAVQ6lizc/P48iRI2qPYDKZRC6XU4FGqpf6sCohpVwuIxaLqZAk12Cz2ZBMJlWVDXi1WprP51UV\\\n",
       "TKqNuVxOzSk0mUyIx+MIh8Nq/57Ma6xWq6qpjXRX9Xg8CIVCqNfr6Ovrw3ve8x588IMfxOjoKBwO\\\n",
       "R0snT/33QH+f5fugD2X6yqp0+9Q3f5EwXywWkUwmMTc3p6qrxWJRBUqDwaAayMioC/k+AlAdUAG0\\\n",
       "hFR5H/35yLJWOj0MhETUKRgIiYgWMX0AkeqcVO8kLJRKJVWVEvqqVftIgmaziXw+r6pG8tFsNuFy\\\n",
       "udDX16cqbNLNFHhtP6N+zMXx48exZ88eHDp0qCXQSGB8o8qlnE/7L9PyeTwex7Fjx9Db24tAIIBM\\\n",
       "JoPp6WmMjY1hbm4O2WwWRqNRhVwZAp9MJhGPx1WX0mKxiOnpabzyyivI5XKoVqtqP54EQb/fj3Xr\\\n",
       "1mHLli0YHBxUe/zag9+JQoI+5NZqNbWnUMLbiSp4EoYzmQwikQgWFhaQyWTUXEfgtdmG8v2Re9n+\\\n",
       "vnKsjP+QEKuvHMs56CuH9MYYCImoUzAQEhEtYlL1kQH0TqcTPp8PLpcLwKv7w/R7xuQXUwkclUql\\\n",
       "pdokIUIqRvKnDKnP5XLQNA3d3d3wer3QNA0Oh0O9rrxfMpnExMQE9u7di8OHDyMSiahloVLBat/P\\\n",
       "eDIn+ro0rdm3bx8KhQIcDgcymYwaraGfnSjLU/XVNJlDKIFx//79yGazarai7J+0Wq0IhUIYGBjA\\\n",
       "6OgoAoGAagijD2ASyCVstQcA/ZLMTCaDfD6PWq0Gs9kMm83W8n2Re57L5Vq6tUp3VqfTqd5P0zTV\\\n",
       "+EYfzvXnIMtdXS4XAoGA+tmQ4C7/YCDHptPp0/3x62gMhETUKRgIiYgWMalSSVAIBALo6upSc+sk\\\n",
       "sEmHS5k1J6MhUqmUWiqoX1Kq38PWPnS+UqnA7XbD5/Ophi3AayEyk8lgfHwcL7/8Mg4fPoxoNKpm\\\n",
       "4knw1AeX9mWtpyLnWi6XMTMzg1gsBgDqXOV99DMC9YFLv4dORl/U63UkEgkAaBna7vF4VJMaqe5J\\\n",
       "2NQ375H7LPst26+vVqshk8lgZmYGMzMzyOVysFqt8Pv9CAaDqtonewNTqRRisRgWFhYwOTmpRknI\\\n",
       "+8jYDqn4yR5LGRMi5yehsbe3F5dccgnWr1+PQCCAarWKWCymxlTIiBEZUUKnxkBIRJ2CgZCIaBGT\\\n",
       "sKPvAmqxWFRFymAwqL2AoVAIgUAA9XodMzMzao+a7GPTLxdsD4b6pYmHDx/G9u3bMTAwAJ/PB6/X\\\n",
       "q97fbDajUChgZmYGk5OTiMfjas+bBBgJS3KO+qWj4o2CoX55Y6FQUAPmT1Zx1P8yrl8eKwG02Wyi\\\n",
       "UCigWCy2jO+QypumaZidnVWjJLLZrOrOGo1GYTQa0dXVhcHBQTVk3mKxtITQYrGIubk57N69GwcP\\\n",
       "HkQmk4HT6cTg4CCWLl2K3t5eaJqm5ixOTU1hfn4esVgMqVRKLeGVLql2u13dT5vNBgBwuVwwm82Y\\\n",
       "n59X3WUtFgt6enpw9dVX47rrrsOKFSugaRoqlQrS6TSi0agawRGNRpHNZrF79+43/fNIRETvPAyE\\\n",
       "RESLmD7YNBoNFb6kSmQymeDz+eDxeDA0NISenh4Ui0UUCgU13kC/B1HfmEa/n02/lDSXy+HIkSPY\\\n",
       "vXs3Vq5cqQKQdMoEXl2OWKlU0Gw2YTKZYDabVXVLwow0Qsnn8y1LV/V7CvVLMuVP2Q8nobA9COoD\\\n",
       "4Ymqju3VyJM9X/ZDJhIJHD9+HJqmIZPJqOCWSCSQz+fhcrkwMjKCYrGIRqOB7u5uFcyBVyuOuVwO\\\n",
       "s7Oz2LdvH/bt24d0Oq2C5OzsLFauXAmfz4dsNoujR49ibGwMkUhEdQw1mUyw2+1qb6g+tPr9fvT2\\\n",
       "9sJqtSKRSGBsbAxTU1PI5/PQNA1r167Fhz/8YVxyySUtMw+7urrQ19eHkZERxONxFT5//OMfv/0/\\\n",
       "qO9ArBASUadgICQiugBIGJRqn4Q4i8WCZrOJ/v5+OBwOeDwe1dFSAhjw2i+3EtzsdjtqtZrab6cP\\\n",
       "aPV6HdlsFseOHcP8/LxaoiodSO12O7xeL3w+n9qfZrfbEQwG0dPTA5/PBwBIJBKYnZ1FJBJRHTL1\\\n",
       "A9fbq4bSNEea2Uhn0zfai3iySmN7KDxRmJSlnvl8HnNzc2g0GpidnVXXXywW1R5Dk8mkKnTFYhF+\\\n",
       "v199LiFaBssnEgkkEglUKhWEw2FEIhFEIhEMDw+jXq9jYmICU1NTSCQSKJfLMJlMcDgcKgzKEt5G\\\n",
       "owGPx4O+vj4MDQ1h6dKlsNvtqjNrOBxGuVxGT08PVq1apfZ8SoVWqrputxuBQAD9/f3I5/Nv/Yex\\\n",
       "QzAQElGnYCAkIlrErFarqprJ2AR9R1Gz+dX/jYfDYaRSKQSDQVQqFeTzebVnTF9t0jRN7UMslUqI\\\n",
       "x+NIpVIqCAKvVd2SySQmJyfR3d2NQCAAACiXy7Barejr61NNWgAgGAxiYGAAvb29cDgcKJVKmJub\\\n",
       "g9VqhcViUXsZJQhKJ045P1kW63K51BD3TCajhrCfrDrY/lj719qXk7YfW6/XUalUVIfPSCSizq/R\\\n",
       "aMDpdMJms6FQKCCVSmFqagrRaBROpxPBYFANqS+VSmoAvdlsRqVSUctdy+WyOhePx6PGUUjTH5PJ\\\n",
       "pPZqWq1W1Go1JJNJtWewt7cXLpcLvb29KvAvX75cNY2R85SmMxII9c2IrFYrHA6HCut0agyERNQp\\\n",
       "GAiJiBax/v5+NBoN1ZWyXC63hLxGo4FsNovp6WkcPHhQNUaZmppCOp1uGQYvDUi8Xi8CgYAKKxLU\\\n",
       "ALQsAS0UCjh48CAAIBQKweFwwGg0olKpwO/3Y/ny5RgYGICmaejq6kJPTw88Hg8MBoMKWNJtUyqM\\\n",
       "Uv2TPW7JZBLZbFbtn5Mqo8ViUbME9dcr2sdBnCwUSjg6URjUL5OV5a/SlVQfuGV8RKlUQjQaRaFQ\\\n",
       "QKVSgc/nw9KlSzE4OAhN0+B0OtUIi4WFhZZKbiKRQDabRTAYhM/ng9PpRCKReN3sRafTqbq1yoiM\\\n",
       "SCSiZixarVbV6VSW6OpnNepfr/1DwuE7YRbhI488gv3795/V92AgJKJOwUBIRCdUrVbxP//n/8Sv\\\n",
       "f/1rHDt2DF6vF1u3bsXf/d3fob+//w2fe9999+Hb3/42FhYWsGHDBnz/+9/Hpk2b1NdLpRL+6q/+\\\n",
       "Cj/72c9QLpdx7bXX4gc/+AF6enrO9mVdcK677jpks1mMj49jbGysZXknANUpNB6PY8+ePVhYWECt\\\n",
       "VkM4HEYmk2npRilLMgGowfFSobJarS1LDa1WK/L5PPbu3YuZmRn4fD50dXUhFArB6/Wq8GYwGOBy\\\n",
       "uVS1zG63q6WsUlUrl8twOp2wWq3weDxwu90wGo1IJpMYHx/HxMREyygETdPg9/tVsJR9kzKEvX0e\\\n",
       "oL5RzInGRBgMBhXw9HMZhTxfxljoO5jKHkZpkFOpVBCJRJBMJqFpGorFIoBXg7t0++zv78fk5KS6\\\n",
       "//oRIJqmwWKxwO/3IxKJqO+nnJ90irVarQBerchGo1FMTU0hl8upCqFcnyxZlaqjVFoZUN46BkIi\\\n",
       "6hQMhER0QoVCAbt27cI3v/lNbNiwAclkEl/5yldw3XXXYefOnSd93s9//nNs27YN999/PzZv3ox7\\\n",
       "7rkH1157LQ4fPoxQKAQA+NrXvobHHnsMDz/8MLxeL2677TZ8/OMfx7PPPnuuLu+CccMNNyCbzWLv\\\n",
       "3r0wGAzI5/NqiLyQ/YWybFTGJchx+vAAQM0RlOWnEuCsVqsac2AwGJDNZpHJZDA1NaWWmspeNlnG\\\n",
       "aLVaYbVaYbfb4XK54HK5YDQa1fgLWS6Zz+fVGIZAIABN01R1cGpqSo2tqNfrcDgccLvd8Pv9CIVC\\\n",
       "KlhVKhUAUNdiNpthMBhUGGpf9ipNcEwmk1qieTqD2fUVRwmF8h76GYL5fB42m03N/nM6nfB6vejr\\\n",
       "64PX60U0GgUA1cFVrlHutYRP+f6lUikEAgHVaVRGgKTTaezbtw+rVq2Cy+WCz+dTVUK55lKppD6X\\\n",
       "a9d3Qa1UKiiXyyiXy7Db7W/555KIiN45GAiJ6IS8Xi8ef/zxlsf+4R/+AZs2bcLU1BSGhoZO+Lzv\\\n",
       "fve7+PznP4/Pfe5zAID7778fjz32GH784x/j61//OtLpNH70ox/hn/7pn3DNNdcAAB544AFcdNFF\\\n",
       "eOGFF3DllVee3Qu7wIRCIXg8HhSLRQwNDWFsbAy5XK5ljIRUuPRBUYIeAFUpk0BYLpdRLBZf1yVU\\\n",
       "ggoAFaD08/gMBoPaO+fxeNQAd03T1NgJ6UYKvPoz5PV6kUql1HJRu90Ou92u9t2ZzWYV9qTClclk\\\n",
       "UC6X4fF44HK54HA4kMvl1PJLs9kMq9WqGqjI82T4uuxJ1FcJ9dXFky2Z1FeE2iuQJ2qC02g0UC6X\\\n",
       "kc/nUSwWVVdXGRshwVp/rHR/lVmIUn3U7/t0u90qaEtlMhKJ4Pjx4xgdHW3pRirnJd9LfQiW961W\\\n",
       "q+ofATKZDPr6+t6mn853NlYIiahTMBAS0WlLp9MwGAwnbUxRqVTw0ksv4Rvf+IZ6zGg0YuvWrXj+\\\n",
       "+ecBAC+99BKq1Sq2bt2qjlm9ejWGhobw/PPPMxC26erqQr1eh91uR6lUQiQSUdUkCWv67qAShvSV\\\n",
       "IovFAk3ToGmamsknodJoNKpw5XK51DJICSf6Jacy5kK6a2YyGdUoxWQyIRQKqfeyWq1oNpvIZDKI\\\n",
       "xWLI5XKv2ysnIbNQKKgGM9VqFSaTCYFAAD6fD729vchmsyiVSshkMmg0GrBarXC73QgGg3A4HCiX\\\n",
       "y4jH4+q6JBzp99NJ5VOC4YlmGUqAbA99pVJJjc/QNE3NBpQZi5lMBolEQlX9pLop91IqjMlkEtPT\\\n",
       "09A0DdFoVHWNle9bPB6HzWZDf38/zGaz6ihaLBZx7Ngx/Pa3v0WlUsG73/1utW9ROpzKnk0J5nIN\\\n",
       "pVIJs7Oz2LlzJ3bt2oX5+Xn8y7/8yzn9Gb5QMRASUadgICSi01IqlXD77bfj05/+NDwezwmPicVi\\\n",
       "qNfrr9sL2NPTg0OHDgEAFhYWYLVaXxcqe3p6sLCwcNL3l+VuIpPJvMkrubDI0kur1Yp3v/vdqmvn\\\n",
       "zp07VShsHzgvwUaWHno8HjVmIplMtlTb5FhpUCLD4CVYtY+tyGazWFhYUOMqstksTCYTli5dinK5\\\n",
       "jPe+973QNE01MKlUKjh27BgOHTqEer2O/v5+rFu3DiMjI2rvon6Afa1WQyqVwvT0tBrqbrFYUK1W\\\n",
       "MTU1hVKppPYvbtiwAWvXroXD4cDU1BSmpqbw4osvYn5+vmV5qIQrk8nUMhNRr30moiwVlTmFwKtV\\\n",
       "076+PrV8VvZfyrD5arWqmrxIJVQa5sjew3w+r0ZXSMMdqRLK2ItarQafz9eynDSbzSIej+Po0aN4\\\n",
       "6qmncOWVV2L16tXwer1oNptqOW2hUFDjMnK5HPbu3YtHH30Uu3btQjKZRLVaPes/s+8kDHpE1AkY\\\n",
       "CIkIAPDggw/iC1/4gvr8N7/5Dd797ncDePUX4RtvvBHNZhM//OEPz8v53XXXXfibv/mblsfuvPPO\\\n",
       "83Iu55p0iLTb7RgZGcEll1yiZvyVSqWWjqPSEEXmBfp8PrVnT5Y26pcUSrVLhslLoJCgcqLB8fV6\\\n",
       "Hel0GqlUSlWmUqkUHA4HhoaGVFOUYrGIqakp7NmzB0eOHEG1WsXs7CwqlQrMZjM8Hg9sNlvL7Lxm\\\n",
       "s6lmA5ZKJWiaBp/PpzqcSnCzWq0YHBzE+vXrEQwGsWLFCkxNTWFubg6RSES9FgA1S9BisSASiSAW\\\n",
       "i6n7ph9noa8oymMS1BKJhHq8u7tbhd5arYZEIoFcLodIJAK73a72/bUv6ZU9mzI4/mRLULPZrLof\\\n",
       "8v76PYwHDx5EtVpFIpHAwMCA+t5ZLBZks1n1/IWFBTzzzDM4cOCAmnl4Onso6VXnskIoPxPAyWdr\\\n",
       "EhGdLQyERATg1W6WmzdvVp8PDAwAeC0MTk5O4oknnjhpdRB4dXmjyWRCOBxueTwcDqO3txcA0Nvb\\\n",
       "i0qlglQq1VIl1B9zIt/4xjewbds29Xkmk8H//b//94yu8UKk745Zr9dhNpsxMDCANWvWwO/3o1ar\\\n",
       "qZBWKBSQzWaRy+VU8xIJe3a7HWazGaVSSVX+DAYDNE2Dx+OBx+Np6YYpYUU/wsBisaj9cTIDT8Jj\\\n",
       "pVLBjh07MDo6Cq/XC7/fj2g0iiNHjuD48eOIRCKo1WrIZrNqkP2qVatgMpng9XpVFRCAqnhlMhm1\\\n",
       "bFWCkT7k9fX1YXBwUM1V7Orqwu7du3HgwAHV/dNkMqGrqwuXXXYZBgYGMD09jR07dmB6eloNfxf6\\\n",
       "PZdy7/VVung8DuDV/yY8Hg8ajQby+bxq9CNVWZPJpEZ66AOn3FNZtgqceHyG7N9sX74qPwelUgmx\\\n",
       "WAzHjx9HNptV+wllwL3T6VSBUI5pv390aucqEF5yySUM6kR0XjEQEhEAwO12w+12tzwmYXBsbAy/\\\n",
       "//3vEQwG3/A1rFYrLrvsMmzfvh3XX389gFd/gd2+fTtuu+02AMBll10Gi8WC7du344YbbgAAHD58\\\n",
       "GFNTU9iyZctJX1v2wHWadDqtqmZShTIYDFi6dKlqMCJBLxqN4vjx45iYmEA8Hlez7Ox2u+rcCUAF\\\n",
       "B7PZDLfbrTqDRqNRVCqVlr2J8kuxVPT6+/vR1dWFeDyOWCzW0nAlHA7jySefxPDwMFavXo14PI6F\\\n",
       "hQXVJEbGI8zMzGD37t1qKWcwGITL5VLvLQE3Ho9jenq6JUjK+btcLnR3d8Pr9aqQqmkarrjiCvzh\\\n",
       "D39QeyTdbjdWr16Na665BsPDw8hkMujt7cVvfvMbTExMqFCob0BjtVpVEJR7UavVUCwWEYvFUC6X\\\n",
       "W5bXyl5AfVMXaXajD2D6KqRU9Nofk06vRqOxpTusfB9kjqTL5UK9Xld7SmX5qYR2p9OJWq2GQqHQ\\\n",
       "MqaDgfD0nYtA+Nhjj+Hll1/GwMAAZmdn39RrEBG9VQyERHRC1WoVn/jEJ7Br1y786le/Qr1eV3v8\\\n",
       "pDU+ALz//e/Hxz72MRX4tm3bhptvvhmXX345Nm3ahHvuuQf5fF51HfV6vbjllluwbds2BAIBeDwe\\\n",
       "fPnLX8aWLVvYUOYEdu3apcYKZDIZ1ZwlGAwiFArB7/fDYrGgVCohHA7DbDYjkUggEokgl8upCptU\\\n",
       "ynw+H+x2OwYGBuByueD3+2Gz2VoGxLdXkmS56sDAAC6++GIEg0FMT08jHo8jk8moimOpVMLk5CR2\\\n",
       "796tqoiFQqGl0iZVtYmJCbjdboyOjsLj8aC7uxvFYhGlUkkFpGQyiaNHjwJ4tSIsHVHtdju6uroQ\\\n",
       "DAZhs9nUbEWTyYR169Zh48aNSKfTqFarGB4exubNm7F27Vp0d3ejXq/D5XKhXC7jd7/7HWZmZlQl\\\n",
       "T8Kgw+FQ1y/LNCUUFgoFVKtVdT6y91EqPBIq9bMA2zuXmkwmaJoGm82mOrJKIJTHLRaLek2TyQSj\\\n",
       "0Qin04lQKISBgQH4fD6USiVMT09jdnZWLQkFALvdjkAgAL/fr/aR6hsE0dnz3HPPtXy+cuVKbNy4\\\n",
       "8aTHf/jDHwYAzMzMcL8iEZ03DIREdEKzs7N49NFHAeB1v9D8/ve/x3vf+14AwPj4OGKxmPrapz71\\\n",
       "KUSjUdxxxx1YWFjAxo0b8dvf/ral0czdd98No9GIG264oWUwPb3eY489pmbYyQy5oaEhDAwMoK+v\\\n",
       "D36/HyaTCeVyGZqmIZ1O4+DBgyq8SEMTCSJdXV3wer0IBALo6elBd3c3zGYzZmZmMDk5+brmKlLJ\\\n",
       "CgaDWLNmDS655BI1S1CqhLI8s16vI5/PY3p6GuFwWFWk9PsDAajOnBMTE7Db7fB4POjt7UWhUEAi\\\n",
       "kVBjJPL5PObm5mA0GtU12Gw2+Hw+DAwMqDAsr2+xWNDf349rrrkG6XQa+Xwe69atw4YNG9DV1QWX\\\n",
       "y4Vms4nh4WFcddVVmJ2dVe9Zq9VUxdLj8agKnVQQJSS3j/jQP66/RgmGRqOxZemnhEGv16u+F/KP\\\n",
       "K/qwVq1WVQMdk8kEn8+HZcuWYe3atRgcHITRaMTExASi0Siy2SzS6bRqLFMqlWAwGOD3+1UTnEql\\\n",
       "csJmOnRyb6ZCeO+99+Lee+9tefxky0GlYr9jx463eKZERG8NAyERndDIyMhpVRMmJiZe99htt92m\\\n",
       "KoYnYrPZcN999+G+++57K6fYEV588UXVhRMA/H4/PB6PGr3gcDhURarZbKKnpwdut1sFQencaTAY\\\n",
       "VIdSTdPgdrsRCoVUYJBxIhKu5Bdcmas3ODiINWvWYMWKFfB4PPB6vQiHwxgbG2tpoFKv15HJZJBK\\\n",
       "pWCz2QBAhSvgtQYrlUoFyWQS4XAYNptNhReZQygjKGTfpFTP3G43+vv7MTg4CJfLpWb9Sfh0Op24\\\n",
       "5JJLkM/nkc1msWLFCgwNDaklsgDgdDoxNDSEZcuWYXx8HIVCQTW6kUAoFToJi3LusoxWv9RTvtYe\\\n",
       "HvQVQfma2WyGw+FAd3c3RkdH0d/fD6fTqeYoFotF5HI5pNNptezV6/Vi1apV2LRpE1auXAmPx4Na\\\n",
       "rQaHw4G9e/e2dGmV9200GggEArj44ovVklap5tLpeTOB8Ctf+Qquuuoq9fjKlStPePyXv/xl5HI5\\\n",
       "vOc978EVV1zx1k+WiOgtYCAkIlrE5ubmVIVKKk35fF4tb5QKmcFgUGHG6XQCgNrbJ3vdkskk3G43\\\n",
       "nE6nGhQv++/8fj/cbndLwJIQ6fV6sWTJEgwNDaGrqwtutxuapmHFihUIBoOYnZ1VVT3g1QpgqVRS\\\n",
       "4VL+FPqum5lMBsViUVXMqtUqGo0Gstms+rs0tJEQu2TJEvT29qrumvolmWazGaFQCJdeeikKhQK6\\\n",
       "u7vh8/laKolms1ntQZRwLfdD0zQ4nU41Q7D93OX834h+P6L+MdkD6HQ6EQwGVVMct9sNg8GASqWi\\\n",
       "xkvIMlWj0YjBwUFcfPHFuOiiixAKhWC1WlGr1dDf34/u7u6W7qtCurCuXbsWzWYTqVQK4+PjyOVy\\\n",
       "Z/oj2LHeTCC86qqrcOONN57y+AcffBAA8NRTT53wHxIikQi6u7vP8IyJiN4cBkIiokWsUCioX/ZN\\\n",
       "JpNaOiqhQ78kUZYj2u32lioW8FpIKxaLah+chEyz2az2rknA0s8ylL2GbrdbNW+RfYwej6el6Ym+\\\n",
       "U6YsT9T/wquvsOm7mjabTTULUdO0lj1v+g6nwWBQBTn9Pj1hNBphs9nQ1dWFcrkMt9utBsbLsbIM\\\n",
       "Vq5FhtZLpdVqtbaE7dPRvk9Q7p9cs7yv3GuHwwGXywWn0wmHw6EqidVqFZqmwWKxqHPx+/0IhULw\\\n",
       "eDxq3IXBYFCNgtrPUYJnKBRCb28vDAYD+vv7VcWWTs/ZbCrzox/9CP/wD//Q8tgTTzwBALjmmmsY\\\n",
       "BononDI0ucOciC5AmUwG3/3ud0/5i9jatWvxiU984hydFRGdC4888gj279//hsf89V//NdLp9BuO\\\n",
       "yjmRhx56CJ/61Kfwq1/9SlXbTyWfz+PDH/4wfv7zn59WhfBE9MuqiYjOpdP7p08iIiIiIiJ6x+GS\\\n",
       "USIiIqI252owvWBlkIjOFwZCIiIiojbnOhASEZ0vDIREREREbRgIiahTMBASERERtWEgJKJOwUBI\\\n",
       "RERE1IaBkIg6BbuMEhERERERdShWCImIiIjasEJIRJ2CgZCIiIioDQMhEXUKBkIiIiKiNgyERNQp\\\n",
       "GAiJiIiI2jAQElGnYCAkIiIiOgEGPSLqBOwySkRERERE1KFYISQiIiJqwyWjRNQpGAiJiIiI2jAQ\\\n",
       "ElGnYCAkIiIiasNASESdgoGQiIiIqA0DIRF1CgZCIiIiojYMhETUKRgIiYiIiNowEBJRp+DYCSIi\\\n",
       "IiIiog7FCiERERFRG1YIiahTMBASERERtWEgJKJOwUBIRERE1IaBkIg6BQMhERERURsGQiLqFAyE\\\n",
       "RERERG0YCImoU7DLKBERERERUYdihZCIiIioDSuERNQpGAiJiIiI2jAQElGnYCAkIiIiasNASESd\\\n",
       "goGQiIiIqA0DIRF1CgZCIiIiojYMhETUKdhllIiIiIiIqEOxQkhERETUhhVCIuoUDIREREREJ8Cg\\\n",
       "R0SdgIGQiIiIqA0rhETUKRgIiYiIiNowEBJRp2AgJCIiImrDQEhEnYKBkIiIiKgNAyERdQqOnSAi\\\n",
       "IiIiIupQrBASERERtWGFkIg6BQMhERERURsGQiLqFAyERERERG0YCImoUzAQEhEREbVhICSiTsFA\\\n",
       "SERERNSGgZCIOgW7jBIREREREXUoBkIiIiKiNlIhPN2PM2EymV73/I9+9KNn6UqIiN4YAyERERFR\\\n",
       "m7MZCBuNBmw2Gz7wgQ/gXe96FwDg0UcfxX/8x3+cjUshInpDDIREREREbc5mIGw2mygWi/jd736H\\\n",
       "Z555Bn//938PAPjSl750Ni6FiOgNsakMEb2jTU5O4pFHHjnfp0FEb6PJycmz/h5vpqnMc8891/L4\\\n",
       "ypUrsXHjxlM+/6WXXgIAjIyMnNE5EhG9HRgIiegdLZfLYf/+/ef7NIjoAvNmAuG9996Le++9t+Xx\\\n",
       "RqPxhs/NZDJ46KGHAADbt29/k2dLRPTmMRASERERvQ2+8pWv4KqrrlKfr1y58pTP8Xq96rlEROcD\\\n",
       "AyERERFRmzdTIbzqqqtw4403ntF7AMDNN9+Me+6554zPkYjo7cCmMkR0Wr74xS/CYDCc1i8t9913\\\n",
       "H0ZGRmCz2bB582bs2LGj5eulUgm33norgsEgXC4XbrjhBoTD4bN05kREZ+5sNpUpl8vqOTfccAN+\\\n",
       "8pOfnIUrICI6PQyERHRKv/jFL/DCCy+gv7//lMf+/Oc/x7Zt23DnnXdi165d2LBhA6699lpEIhF1\\\n",
       "zNe+9jX88pe/xMMPP4wnn3wSc3Nz+PjHP342L4GI6IyczUBos9kAAKOjo1izZg3uuOMO3HHHHXjm\\\n",
       "mWfOxqUQEb0hLhklojc0OzuLL3/5y/iP//gPfOhDHzrl8d/97nfx+c9/Hp/73OcAAPfffz8ee+wx\\\n",
       "/PjHP8bXv/51pNNp/OhHP8I//dM/4ZprrgEAPPDAA7jooovwwgsv4Morrzyr10NEdLrONOidqePH\\\n",
       "j+Nv//Zv1eff/va3USwWz+p7EhG1Y4WQiE6q0Wjgpptuwn//7/8da9euPeXxlUoFL730ErZu3aoe\\\n",
       "MxqN2Lp1K55//nkAr7ZXr1arLcesXr0aQ0ND6hgiovPtbM8hPNEHwyARnQ+sEBLRSf393/89zGYz\\\n",
       "/tt/+2+ndXwsFkO9XkdPT0/L4z09PTh06BAAYGFhAVarFT6f73XHLCwsnPS1y+UyyuWy+jyTyZzm\\\n",
       "VRARERHRybBCSEQAgAcffBAul0t9PPnkk7j33nvxk5/85Kwvmzodd911F7xer/pYsmTJ+T4lInoH\\\n",
       "O5sVQiKixYSBkIgAANdddx1efvll9fHcc88hEolgaGgIZrMZZrMZk5OT+Ku/+iuMjIyc8DW6urpg\\\n",
       "Mple1zE0HA6jt7cXANDb24tKpYJUKnXSY07kG9/4BtLptPqYnp5+S9dLRPRGGAiJqFNwySgRAQDc\\\n",
       "bjfcbrf6/C//8i/xkY98pOWYa6+9FjfddJNqGNPOarXisssuw/bt23H99dcDeHUf4vbt23HbbbcB\\\n",
       "AC677DJYLBZs374dN9xwAwDg8OHDmJqawpYtW056fpqmQdO0t3KJRESn7c3MISQiuhAxEBLRCQWD\\\n",
       "QQSDwZbHLBYLent7sWrVKvXY+9//fnzsYx9TgW/btm24+eabcfnll2PTpk245557kM/nVYj0er24\\\n",
       "5ZZbsG3bNgQCAXg8Hnz5y1/Gli1b2GGUiBYNBkIi6hQMhET0loyPjyMWi6nPP/WpTyEajeKOO+7A\\\n",
       "wsICNm7ciN/+9rctjWbuvvtuGI1G3HDDDSiXy7j22mvxgx/84HycPhHRCTEQElGnYCAkotM2MTFx\\\n",
       "Wo/ddtttqmJ4IjabDffddx/uu+++t/HsiIjePgyERNQp2FSGiIiIiIioQ7FCSERERNSGFUIi6hQM\\\n",
       "hERERERtGAiJqFMwEBIRERG1YSAkok7BQEhERETUhoGQiDoFAyERERFRGwZCIuoU7DJKRERERETU\\\n",
       "oVghJCIiImrDCiERdQoGQiIiIqI2DIRE1CkYCImIiIjaMBASUadgICQiIiJqw0BIRJ2CgZCIiIio\\\n",
       "DQMhEXUKdhklIiIiIiLqUKwQEtEFqdlsnu9TIKJF7q38fyKbzZ525S+bzb7p9yEiOt8YCInogpTN\\\n",
       "ZvE3f/M35/s0iGgRy2az8Hq9Z/Sc0dFRAMCSJUvO+P3kuUREFxJDk//MTkQXoEajgbm5Objd7o7e\\\n",
       "v5PJZLBkyRJMT0/D4/Gc79M5b3gfXsX78Kpms4lsNov+/n4YjWe+O+aPf/wjjh8/fkbPGR0dxRVX\\\n",
       "XHHG70VEdL4xEBIRXcAymQy8Xi/S6XRHBwDeh1fxPhAR0ZliUxkiIiIiIqIOxUBIRERERETUoRgI\\\n",
       "iYguYJqm4c4774Smaef7VM4r3odX8T4QEdGZ4h5CIiIiIiKiDsUKIRERERERUYdiICQiIiIiIupQ\\\n",
       "DIREREREREQdioGQiGgRqVaruP3227Fu3To4nU709/fjs5/9LObm5k753Pvuuw8jIyOw2WzYvHkz\\\n",
       "duzY0fL1UqmEW2+9FcFgEC6XCzfccAPC4fDZupS35FTX0u7hhx/G6tWrYbPZsG7dOvz6179u+Xqz\\\n",
       "2cQdd9yBvr4+2O12bN26FWNjY2fzEt6yu+66C1dccQXcbjdCoRCuv/56HD58+JTPeyfeCyIiOnsY\\\n",
       "CImIFpFCoYBdu3bhm9/8Jnbt2oV//dd/xeHDh3Hddde94fN+/vOfY9u2bbjzzjuxa9cubNiwAdde\\\n",
       "ey0ikYg65mtf+xp++ctf4uGHH8aTTz6Jubk5fPzjHz/bl3TGTuda9J577jl8+tOfxi233ILdu3fj\\\n",
       "+uuvx/XXX499+/apY771rW/he9/7Hu6//368+OKLcDqduPbaa1Eqlc7VZZ2xJ598ErfeeiteeOEF\\\n",
       "PP7446hWq/jgBz+IfD5/0ue8U+8FERGdRU0iIlrUduzY0QTQnJycPOkxmzZtat56663q83q93uzv\\\n",
       "72/eddddzWaz2UylUk2LxdJ8+OGH1TEHDx5sAmg+//zzZ+/k34RTXUu7G2+8sfmhD32o5bHNmzc3\\\n",
       "v/CFLzSbzWaz0Wg0e3t7m9/+9rfV11OpVFPTtOY///M/n4UrODsikUgTQPPJJ5886TGdci+IiOjt\\\n",
       "wwohEdEil06nYTAY4PP5Tvj1SqWCl156CVu3blWPGY1GbN26Fc8//zwA4KWXXkK1Wm05ZvXq1Rga\\\n",
       "GlLHLAancy3tnn/++ZbjAeDaa69Vxx8/fhwLCwstx3i9XmzevHlRXfuppNNpAEAgEDjpMZ1yL4iI\\\n",
       "6O3DQEhEtIiVSiXcfvvt+PSnPw2Px3PCY2KxGOr1Onp6eloe7+npwcLCAgBgYWEBVqv1daFSf8xi\\\n",
       "cDrX0m5hYeGU1y6Pne5rLjaNRgNf/epX8a53vQsXX3zxSY/rhHtBRERvLwZCIqLz6MEHH4TL5VIf\\\n",
       "Tz/9tPpatVrFjTfeiGaziR/+8Ifn8SzpfLv11luxb98+/OxnPzvfp0JERO8w5vN9AkREney6667D\\\n",
       "5s2b1ecDAwMAXguDk5OTeOKJJ05aHQSArq4umEym13UMDYfD6O3tBQD09vaiUqkglUq1VAn1xywG\\\n",
       "p3Mt7Xp7e0957fJYX19fyzEbN258G8/+7Ljtttvwq1/9Ck899RQGBwff8Nh3+r0gIqK3HyuERETn\\\n",
       "kdvtxvLly9WH3W5XYXBsbAz/7//9PwSDwTd8DavVissuuwzbt29XjzUaDWzfvh1btmwBAFx22WWw\\\n",
       "WCwtxxw+fBhTU1PqmMXgdK6l3ZYtW1qOB4DHH39cHT86Oore3t6WYzKZDF588cVFde3tms0mbrvt\\\n",
       "NvziF7/AE088gdHR0VM+5516L4iI6Cw6311tiIjoNZVKpXndddc1BwcHmy+//HJzfn5efZTLZXXc\\\n",
       "Nddc0/z+97+vPv/Zz37W1DSt+ZOf/KR54MCB5l/+5V82fT5fc2FhQR3zxS9+sTk0NNR84oknmjt3\\\n",
       "7mxu2bKluWXLlnN6fafjVNdy0003Nb/+9a+r45999tmm2Wxufuc732kePHiweeeddzYtFktz7969\\\n",
       "6pi/+7u/a/p8vua///u/N/fs2dP86Ec/2hwdHW0Wi8Vzfn2n67/+1//a9Hq9zT/84Q8tPweFQkEd\\\n",
       "0yn3goiIzh4GQiKiReT48eNNACf8+P3vf6+OGx4ebt55550tz/3+97/fHBoaalqt1uamTZuaL7zw\\\n",
       "QsvXi8Vi80tf+lLT7/c3HQ5H82Mf+1hzfn7+HFzVmXuja7n66qubN998c8vxDz30UHPlypVNq9Xa\\\n",
       "XLt2bfOxxx5r+Xqj0Wh+85vfbPb09DQ1TWu+//3vbx4+fPhcXMqbdrKfgwceeEAd0yn3goiIzh5D\\\n",
       "s9lsnp/aJBEREREREZ1P3ENIRERERETUoRgIiYiIiIiIOhQDIRERERERUYdiICQiIiIiIupQDIRE\\\n",
       "REREREQdioGQiIiIiIioQzEQEhERERERdSgGQiIiIiIiog7FQEhERBeEH/3oR/jgBz941t/nt7/9\\\n",
       "LTZu3IhGo3HW34uIiOh8YyAkIqJFr1Qq4Zvf/CbuvPPOs/5e/+k//SdYLBY8+OCDZ/29iIiIzjcG\\\n",
       "QiIiWvQeeeQReDwevOtd7zon7/fnf/7n+N73vndO3ouIiOh8YiAkIqJzJhqNore3F//n//wf9dhz\\\n",
       "zz0Hq9WK7du3n/R5P/vZz/CRj3yk5bH3vve9+OpXv9ry2PXXX48///M/V5+PjIzgf/2v/4XPfvaz\\\n",
       "cLlcGB4exqOPPopoNIqPfvSjcLlcWL9+PXbu3NnyOh/5yEewc+dOjI+Pv/mLJSIiugAwEBIR0TnT\\\n",
       "3d2NH//4x/jrv/5r7Ny5E9lsFjfddBNuu+02vP/97z/p85555hlcfvnlb+o97777brzrXe/C7t27\\\n",
       "8aEPfQg33XQTPvvZz+Izn/kMdu3ahWXLluGzn/0sms2mes7Q0BB6enrw9NNPv6n3JCIiulAwEBIR\\\n",
       "0Tn1p3/6p/j85z+PP/uzP8MXv/hFOJ1O3HXXXSc9PpVKIZ1Oo7+//02/3xe+8AWsWLECd9xxBzKZ\\\n",
       "DK644gp88pOfxMqVK3H77bfj4MGDCIfDLc/r7+/H5OTkm3pPIiKiCwUDIRERnXPf+c53UKvV8PDD\\\n",
       "D+PBBx+EpmknPbZYLAIAbDbbm3qv9evXq7/39PQAANatW/e6xyKRSMvz7HY7CoXCm3pPIiKiCwUD\\\n",
       "IRERnXPj4+OYm5tDo9HAxMTEGx4bDAZhMBiQTCZP+br1ev11j1ksFvV3g8Fw0sfax0wkEgl0d3ef\\\n",
       "8j2JiIguZAyERER0TlUqFXzmM5/Bpz71Kfzt3/4t/st/+S+vq87pWa1WrFmzBgcOHHjd19qXeR47\\\n",
       "duxtOcdSqYTx8XFccsklb8vrERERLVYMhEREdE79j//xP5BOp/G9730Pt99+O1auXIm/+Iu/eMPn\\\n",
       "XHvttXjmmWde9/i///u/41//9V8xPj6O//2//zcOHDiAyclJzM7OvqVzfOGFF6BpGrZs2fKWXoeI\\\n",
       "iGixYyAkIqJz5g9/+APuuece/PSnP4XH44HRaMRPf/pTPP300/jhD3940ufdcsst+PWvf410Ot3y\\\n",
       "+Ic+9CF861vfwpo1a/DUU0/hBz/4AXbs2IGf/vSnb+k8//mf/xl/9md/BofD8ZZeh4iIaLEzNPV9\\\n",
       "tomIiBapT37yk7j00kvxjW98A8Crcwg3btyIe+655219n1gshlWrVmHnzp0YHR19W1+biIhosWGF\\\n",
       "kIiILgjf/va34XK5zvr7TExM4Ac/+AHDIBERdQRWCImI6IJ0tiqEREREnYSBkIiIiIiIqENxySgR\\\n",
       "EREREVGHYiAkIiIiIiLqUAyEREREREREHYqBkIiIiIiIqEMxEBIREREREXUoBkIiIiIiIqIOxUBI\\\n",
       "RERERETUoRgIiYiIiIiIOhQDIRERERERUYdiICQiIiIiIupQDIREREREREQdioGQiIiIiIioQzEQ\\\n",
       "EhERERERdSgGQiIiIiIiog71/wGVNt87KxUm/wAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[6] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA401JREFUeJzs3XeY1OW5P/739N52tsx2trHssgtLLwpYUEywJbHEaNRoNDGm\\\n",
       "GK9vTMzRGI0npJwkmq9f41GP8cQjyjEFf0aDIqKAINLLssCyvU3Z6b1+fn9wPY+fmS0sIALu/bqu\\\n",
       "vWBnPjPzmZlV5r3389y3RBAEAYQQQgghhBBCJh3p2T4BQgghhBBCCCFnBwVCQgghhBBCCJmkKBAS\\\n",
       "QgghhBBCyCRFgZAQQgghhBBCJikKhIQQQgghhBAySVEgJIQQQgghhJBJigIhIYQQQgghhExSFAgJ\\\n",
       "IYQQQgghZJKiQEgIIYQQQgghkxQFQkIIIYQQQgiZpCgQEkIIIYQQQsgkRYGQEEIIIYQQQiYpCoSE\\\n",
       "EEIIIYQQMklRICSEEEIIIYSQSYoCISGEkFPy/vvvQyKR4P333z/bp0I+ZR9//DGUSiV6eno+88d2\\\n",
       "u93Q6XR46623PvPHJoSQyYgCISGEkHE9/fTTePHFF8/2aZyS1atX44knnjjbpwEAyGQy+M1vfoOq\\\n",
       "qiqo1WrMmDEDr7zyyoRv7/P5cPfdd6OgoAA6nQ4XX3wxdu/ePeK4NWvW4JZbbkFdXR0kEgkuuuii\\\n",
       "kz7Xf/u3f8NNN92EysrKk77t6bJarfjmN7+Jhx9++DN/bEIImYwkgiAIZ/skCCGEnLuampqQn58/\\\n",
       "ohKYyWSQSCSgVCohlZ6bv1+88sorcfDgQXR3d5/tU8GDDz6IX/3qV7jrrrswb948vP7663jzzTfx\\\n",
       "yiuv4Ktf/eq4t81kMliyZAn27duHH/3oR8jPz8fTTz+Nvr4+7Nq1C3V1dfzYiy66CLt27cK8efOw\\\n",
       "d+9ezJgx46SquHv37sWsWbOwdetWLFq06FSf7mlpa2tDY2MjNmzYgEsuueSsnAMhhEwWFAgJIWQC\\\n",
       "wuEwdDrd2T6Ns2KsQHg+OFcC4cDAAKqqqnD33XfjqaeeAgAIgoBly5ahq6sL3d3dkMlkY97+f//3\\\n",
       "f3HjjTfitddew3XXXQcAcLlcmDp1Kr7whS9g9erV/Ni+vj6UlpZCKpWe0nv3gx/8AGvXrkV3dzck\\\n",
       "EsmpPeFPQXNzM2bNmoW//OUvZ+0cCCFkMjg3f6VLCCFn0MDAAO68806UlJRApVKhqqoK99xzDxKJ\\\n",
       "BADgxRdfhEQiwQcffIDvfOc7KCwsRFlZGb/9008/jenTp0OlUqGkpAT33nsvfD5f1mO0t7fjK1/5\\\n",
       "Cmw2G9RqNcrKyvDVr34Vfr+fH7N+/XpceOGFMJvN0Ov1qK+vx09/+tMTnv9EbhePx/HII4+gtrYW\\\n",
       "KpUK5eXleOCBBxCPx0fc3//8z/9g/vz50Gq1sFgsWLp0Kd555x0AwJQpU9Da2ooPPvgAEokkawni\\\n",
       "WHsIX3vtNcyZMwcajQb5+fm45ZZbMDAwkHXM7bffDr1ej4GBAVx77bXQ6/UoKCjA//k//wfpdPqE\\\n",
       "r8Hrr7+OlStX8vewpqYGv/jFL7Jue9FFF+HNN99ET08PP/cpU6aMeZ+33347Py736+c///kJz+lE\\\n",
       "55tMJvGd73yHXyaRSHDPPfegv78f27ZtG/f2f/3rX1FUVIQvf/nL/LKCggLccMMNeP3117Pe1/Ly\\\n",
       "8tOq2K5duxaXXHLJiDA41uswZcoU3H777fx79t/Pli1b8P3vfx8FBQUwm8341re+hUQiAZ/Ph1tv\\\n",
       "vRUWiwUWiwUPPPAARvvd9GWXXYY33nhj1OsIIYR8euRn+wQIIeSzNDg4iPnz5/P9WNOmTcPAwAD+\\\n",
       "+te/IhKJQKlU8mO/853voKCgAD/72c8QDocBAD//+c/x6KOPYvny5bjnnntw5MgR/OlPf8KOHTvw\\\n",
       "4YcfQqFQIJFIYMWKFYjH4/je974Hm82GgYEB/POf/4TP54PJZEJrayuuvPJKzJgxA4899hhUKhWO\\\n",
       "HTuGDz/8cNzzn8jtMpkMrr76amzZsgV33303GhoacODAAfzhD3/A0aNHsXbtWn7so48+ip///OdY\\\n",
       "vHgxHnvsMSiVSmzfvh3vvfceLr/8cjzxxBP43ve+B71ej3/7t38DABQVFY15fi+++CK+8Y1vYN68\\\n",
       "eVi1ahUcDgeefPJJfPjhh9izZw/MZjM/Np1OY8WKFViwYAH+4z/+A++++y5+97vfoaamBvfcc8+4\\\n",
       "r8OLL74IvV6P+++/H3q9Hu+99x5+9rOfIRAI4Le//S2A4/vg/H4/+vv78Yc//AEAoNfrx7zPb33r\\\n",
       "W1i+fHnWZevWrcPLL7+MwsJCftnw8PC458YYDAaoVCoAwJ49e6DT6dDQ0JB1zPz58/n1F1544Zj3\\\n",
       "tWfPHsyePXtE0Js/fz6effZZHD16FM3NzRM6r/EMDAygt7cXs2fPPu37Yj/7jz76KD766CM8++yz\\\n",
       "MJvN2Lp1KyoqKvDLX/4Sb731Fn7729+iqakJt956a9bt58yZgz/84Q9obW1FU1PTaZ8PIYSQMQiE\\\n",
       "EDKJ3HrrrYJUKhV27Ngx4rpMJiMIgiD8+c9/FgAIF154oZBKpfj1TqdTUCqVwuWXXy6k02l++VNP\\\n",
       "PSUAEF544QVBEARhz549AgDhtddeG/M8/vCHPwgABJfLdVLnP5HbvfTSS4JUKhU2b96cdfkzzzwj\\\n",
       "ABA+/PBDQRAEob29XZBKpcKXvvSlrOcjCJ+8FoIgCNOnTxeWLVs24nE2btwoABA2btwoCIIgJBIJ\\\n",
       "obCwUGhqahKi0Sg/7p///KcAQPjZz37GL7vtttsEAMJjjz2WdZ+zZs0S5syZM/6LIAhCJBIZcdm3\\\n",
       "vvUtQavVCrFYjF+2cuVKobKy8oT3N5r29nbBZDIJl112WdbPAYAJff35z3/OOo/q6uoRjxEOhwUA\\\n",
       "wk9+8pNxz0Wn0wl33HHHiMvffPNNAYCwbt26UW831ns3lnfffVcAILzxxhsjrgMgPPLIIyMur6ys\\\n",
       "FG677Tb+PfvvZ8WKFVk/R4sWLRIkEonw7W9/m1+WSqWEsrKyUc9x69atAgBhzZo1Ez5/QgghJ4+W\\\n",
       "jBJCJo1MJoO1a9fiqquuwty5c0dcn7tE7q677sra1/Xuu+8ikUjgvvvuy6rU3HXXXTAajXjzzTcB\\\n",
       "ACaTCQDw9ttvIxKJjHourFL2+uuvI5PJTPg5TOR2r732GhoaGjBt2jQMDw/zL9acY+PGjQCOLw3M\\\n",
       "ZDL42c9+NqLydCp7x3bu3Amn04nvfOc7UKvV/PKVK1di2rRp/PUR+/a3v531/ZIlS9DZ2XnCx9Jo\\\n",
       "NPzvwWAQw8PDWLJkCSKRCA4fPnzS554rHA7jS1/6EiwWC1555ZWsn4P169dP6GvFihX8NtFolFcL\\\n",
       "xdjrFI1Gxz2f0739RLndbgCAxWI57fu68847s36OFixYAEEQcOedd/LLZDIZ5s6dO+p7zs5hohVZ\\\n",
       "Qgghp4aWjBJCJg2Xy4VAIDDh5WdVVVVZ37OZbPX19VmXK5VKVFdX8+urqqpw//334/e//z1efvll\\\n",
       "LFmyBFdffTVuueUWHhZvvPFGPP/88/jmN7+Jn/zkJ7j00kvx5S9/Gdddd924+78mcrv29na0tbWh\\\n",
       "oKBg1PtwOp0AgI6ODkilUjQ2Nk7o9TiRsV4fAJg2bRq2bNmSdZlarR5xjhaLBV6v94SP1draioce\\\n",
       "egjvvfceAoFA1nXifZqn6q677kJHRwe2bt0Kq9WadV3ustKJ0Gg0o+7fjMVi/PozefuTJXwK+/Yq\\\n",
       "Kiqyvmc/++Xl5SMuH+09Z+dwNhvbEELIZECBkBBCxnA6H7J/97vf4fbbb8frr7+Od955B9///vex\\\n",
       "atUqfPTRRygrK4NGo8GmTZuwceNGvPnmm1i3bh3WrFmDSy65BO+8886YHScncrtMJoPm5mb8/ve/\\\n",
       "H/U+cj+Qny3jddUcj8/nw7Jly2A0GvHYY4+hpqYGarUau3fvxo9//OOTqriO5sknn8Qrr7yC//mf\\\n",
       "/0FLS8uI6+12+4Tux2Qy8Z+h4uJibNy4EYIgZAWcoaEhAEBJScm491VcXMyPFZvo7SeKhd+JhHJm\\\n",
       "rPA41vs72uWj3Qc7h/z8/AmfCyGEkJNHS0YJIZNGQUEBjEYjDh48eEq3Z0O6jxw5knV5IpFAV1fX\\\n",
       "iCHezc3NeOihh7Bp0yZs3rwZAwMDeOaZZ/j1UqkUl156KX7/+9/j0KFD+Pd//3e89957fEnnWE50\\\n",
       "u5qaGng8Hlx66aVYvnz5iC9WwaupqUEmk8GhQ4fGfbyJVmjGen3YZZ/WkPP3338fbrcbL774In7w\\\n",
       "gx/gyiuvxPLly0dd5niy1aXNmzfj//yf/4P77rsPN99886jHFBcXT+hrzZo1/DYtLS2IRCJoa2vL\\\n",
       "uq/t27fz68fT0tKC3bt3jwi727dvh1arxdSpU0/qeY5l2rRpAICurq5Rrw8GgyMuYxXnTxs7h9xG\\\n",
       "PIQQQj5dFAgJIZOGVCrFtddeizfeeAM7d+4ccf2JlsktX74cSqUSf/zjH7OO/a//+i/4/X6sXLkS\\\n",
       "ABAIBJBKpbJu29zcDKlUypf9eTyeEffPQsFoSwOZidzuhhtuwMDAAJ577rkRx0ajUd4x9dprr4VU\\\n",
       "KsVjjz02ImiIn59OpxsxVmM0c+fORWFhIZ555pms5/Cvf/0LbW1t/PU5XazCJD7HRCKBp59+esSx\\\n",
       "Op1uwktIh4aGcMMNN+DCCy/knUpHcyp7CK+55hooFIqscxQEAc888wxKS0uxePHirPM4fPgwkskk\\\n",
       "v+y6666Dw+HA3//+d37Z8PAwXnvtNVx11VWj7i88FaWlpSgvLx/1vw8AI0aM/Otf/0IsFjsjoyF2\\\n",
       "7doFk8mE6dOnf+r3TQgh5BO0ZJQQMqn88pe/xDvvvINly5bxkQxDQ0N47bXXsGXLlqyxCLkKCgrw\\\n",
       "4IMP4tFHH8UVV1yBq6++GkeOHMHTTz+NefPm4ZZbbgEAvPfee/jud7+L66+/HlOnTkUqlcJLL70E\\\n",
       "mUyGr3zlKwCAxx57DJs2bcLKlStRWVkJp9OJp59+GmVlZeOOH5jI7b7+9a/jf//3f/Htb38bGzdu\\\n",
       "xAUXXIB0Oo3Dhw/jf//3f/H2229j7ty5qK2txb/927/hF7/4BZYsWYIvf/nLUKlU2LFjB0pKSrBq\\\n",
       "1SoAx9v//+lPf8Ljjz+O2tpaFBYW8gY1YgqFAr/+9a/xjW98A8uWLcNNN93Ex05MmTIFP/zhD0/1\\\n",
       "bcuyePFiWCwW3Hbbbfj+978PiUSCl156adRQMmfOHKxZswb3338/5s2bB71ej6uuumrU+/3+978P\\\n",
       "l8uFBx54AK+++mrWdTNmzMCMGTMAnNoewrKyMtx333347W9/i2QyiXnz5mHt2rXYvHkzXn755axl\\\n",
       "lA8++CD++7//G11dXXxu4nXXXYeFCxfiG9/4Bg4dOoT8/Hw8/fTTSKfTePTRR7Mea9OmTdi0aROA\\\n",
       "4/tmw+EwHn/8cQDA0qVLsXTp0nHP9ZprrsE//vGPEctbAaCtrQ1f/OIXcfXVV2NwcBBPPvkkTCYT\\\n",
       "tm7dildeeQU33XTTSb82Y1m/fj2uuuoq2kNICCFn2tlobUoIIWdTT0+PcOuttwoFBQWCSqUSqqur\\\n",
       "hXvvvVeIx+OCIHzSNn+00RSCcHzMxLRp0wSFQiEUFRUJ99xzj+D1evn1nZ2dwh133CHU1NQIarVa\\\n",
       "yMvLEy6++GLh3Xff5cds2LBBuOaaa4SSkhJBqVQKJSUlwk033SQcPXp03HOf6O0SiYTw61//Wpg+\\\n",
       "fbqgUqkEi8UizJkzR3j00UcFv9+fdewLL7wgzJo1ix+3bNkyYf369fx6u90urFy5UjAYDAIAPiIg\\\n",
       "d+wEs2bNGn5/eXl5ws033yz09/dnHXPbbbcJOp1uxPN75JFHhIn80/Thhx8KCxcuFDQajVBSUiI8\\\n",
       "8MADwttvvz3ifEKhkPC1r31NMJvNAoBxR1AsW7ZszBESo41bOFnpdFr45S9/KVRWVgpKpVKYPn26\\\n",
       "8D//8z8jjmMjObq6urIu93g8wp133ilYrVZBq9UKy5YtG/VnlL2Gp/o8du/eLQAYMbYEgHD//fcL\\\n",
       "119/vaDRaITi4mLhqaeeEp555hlBq9UK3/zmNwVBGPu/H3ZeuSNTRvtZaGtrEwBk/TdDCCHkzJAI\\\n",
       "whlY50EIIYSQ89all16KkpISvPTSS/wyiUSCRx55BD//+c/P+OPfd9992LRpE3bt2kUVQkIIOcNo\\\n",
       "DyEhhBBCsvzyl7/EmjVr+CiRz5Lb7cbzzz+Pxx9/nMIgIYR8BmgPISGEEEKyLFiwAIlE4qw8ttVq\\\n",
       "RSgUOiuPTQghkxFVCAkhhBBCCCFkkqIKISGEEEJOiFoOEELI5xNVCAkhhBBCCCFkkqJASAghhBBC\\\n",
       "CCGTFC0ZJYSclzKZDAYHB2EwGKgTISEkiyAICAaDKCkpgVR68r/73rJlC44dO3ZSt6mtrcWFF154\\\n",
       "0o9FCCFnGwVCQsh5aXBwEM8///zZPg1CyDnq0UcfRV9fH8rKyk7qdlu2bMGSJUtO6TE3b95MoZAQ\\\n",
       "ct6hQEgIOS8ZDAYAoOogIWRM7P8TJ+NkK4O5t51oICwpKcHQ0BD/XqfT8XEbhw8fRkNDw4jb3HPP\\\n",
       "PXj66adP+fwIIWQ0tIeQEHJeoiBICDmR0/3/hEQimdDXqYhEIgAArVY74rrNmzcDANRqNS655BJU\\\n",
       "VVUBAP70pz+d4jMhhJCxUSAkhBBCCMkx0TB4qqHQ5/NBEASEw+ER1911110QBAHRaBQbNmxAZ2cn\\\n",
       "pk6dCgD4+te/ftrPjRBCxGjJKCGEEEJIjpMNeoIg8Moe09jYiPnz538q5+N2uwEAl1566adyf4QQ\\\n",
       "wlAgJIQQQgjJcSqVvxdeeAEvvPBC1mWCIJz2uWzZsoUHwttvv/20748QQsQoEBJCCCGE5DiVQHjH\\\n",
       "HXdkdShtbGw87fM4fPgwv88///nPp31/hBCSiwIhIYQQQkiOUwmES5Ys+VQreOJuo7/61a+oOkgI\\\n",
       "OSOoqQwhhBBCyDlGHAYffvhh/PjHPz7LZ0QI+byiQEgIIYQQkuNMdxn961//ipaWFrS0tAA4Poai\\\n",
       "paUFX//617PCYEtLC0KhEO6//37cf//92Lt376f4LAkhhJaMEkIIIYSMcDozBifiu9/9LhwOB/9e\\\n",
       "EATs27cP+/btQywW45fv3bs3KwSuXr0adrv9jJ0XIWTyoUBICCGEEJLjTAdCCnWEkHMFBUJCCCGE\\\n",
       "kBxnOhASQsi5ggIhIYQQQkgOCoSEkMmCmsoQQgghhBBCyCRFFUJCCCGEkBxUISSETBZUISSETNiv\\\n",
       "fvUrSCQS3HfffeMe99prr2HatGlQq9Vobm7GW2+9lXW9IAj42c9+huLiYmg0Gixfvhzt7e1n8MwJ\\\n",
       "IeTknOmxE4QQcq6gQEgImZAdO3bgP//zPzFjxoxxj9u6dStuuukm3HnnndizZw+uvfZaXHvttTh4\\\n",
       "8CA/5je/+Q3++Mc/4plnnsH27duh0+mwYsWKrFbrhBByNlEgJIRMFhQICSEnFAqFcPPNN+O5556D\\\n",
       "xWIZ99gnn3wSV1xxBX70ox+hoaEBv/jFLzB79mw89dRTAI5XB5944gk89NBDuOaaazBjxgz85S9/\\\n",
       "weDgINauXfsZPBtCCDkxCoSEkMmCAiEh5ITuvfderFy5EsuXLz/hsdu2bRtx3IoVK7Bt2zYAQFdX\\\n",
       "F+x2e9YxJpMJCxYs4MeMJh6PIxAIZH0RQsiZQoGQEDJZUCAkhIzr1Vdfxe7du7Fq1aoJHW+321FU\\\n",
       "VJR1WVFRER/CzP4c75jRrFq1CiaTiX+Vl5efzNMghBBCCCGjoEBICBlTX18ffvCDH+Dll1+GWq0+\\\n",
       "q+fy4IMPwu/386++vr6zej6EkM83qhASQiYLGjtBCBnTrl274HQ6MXv2bH5ZOp3Gpk2b8NRTTyEe\\\n",
       "j0Mmk2XdxmazweFwZF3mcDhgs9n49eyy4uLirGNaWlrGPBeVSgWVSnW6T4kQQiaEgh4hZLKgCiEh\\\n",
       "ZEyXXnopDhw4gL179/KvuXPn4uabb8bevXtHhEEAWLRoETZs2JB12fr167Fo0SIAQFVVFWw2W9Yx\\\n",
       "gUAA27dv58cQQsi5gKqDhJDJgCqEhJAxGQwGNDU1ZV2m0+lgtVr55bfeeitKS0v5HsMf/OAHWLZs\\\n",
       "GX73u99h5cqVePXVV7Fz5048++yzAMDnGD7++OOoq6tDVVUVHn74YZSUlODaa6/9TJ8fIYSM5WTC\\\n",
       "HoVCQsj5jAIhIeS09Pb2Qir9ZLHB4sWLsXr1ajz00EP46U9/irq6OqxduzYrWD7wwAMIh8O4++67\\\n",
       "4fP5cOGFF2LdunVnfZ8iIYQwFAgJIZMFBUJCyEl5//33x/0eAK6//npcf/31Y96HRCLBY489hsce\\\n",
       "e+xTPjtCCPl0UCAkhEwWtIeQEEIIIYQQQiYpqhASQgghhOSgCiEhZLKgQEgI+VxTq9U0xJ6Qz5m+\\\n",
       "vj7EYrEz+hgUCAkhkwUFQkLI51p5eTm+9rWvne3TIIR8ilavXo329vYz+hgUCAkhkwUFQkIIIYSQ\\\n",
       "HBQICSGTBQVCQgghhJAcFAgJIZMFdRklhBBCCCGEkEmKKoSEEEIIITmoQkgImSwoEBJCCCGE5KBA\\\n",
       "SAiZLCgQEkIIIYTkoEBICJksKBASQgghhOSgQEgImSwoEBJCCCGE5KBASAiZLKjLKCGEEEIIIYRM\\\n",
       "UlQhJIQQQgjJQRVCQshkQYGQEEIIISQHBUJCyGRBgZAQQgghJAcFQkLIZEGBkBBCCCEkBwVCQshk\\\n",
       "QYGQEEIIIWQUFPQIIZMBdRklhBBCCCGEkEmKKoSEEEIIITloySghZLKgQEgIIYQQkoMCISFksqBA\\\n",
       "SAghhBCSgwIhIWSyoEBICCGEEJKDAiEhZLKgQEgIIYQQkoMCISFksqBASAghhBCSgwIhIWSyoLET\\\n",
       "hBBCCCGEEDJJUYWQEEIIISQHVQgJIZMFBUJCCCGEkBwUCAkhkwUtGSWEEEIIycEC4US/TlZJSUnW\\\n",
       "7fV6fdb1sVhsxGOsWLHi03p6hBDCUSAkhBBCCMlxpgNhJBIBAGi12lGvZ5frdDrMnj0bAPDOO+9g\\\n",
       "y5Ytp/iMCCFkdBQICSGEEEJynOlA6PP5IAgCwuHwiOtisRgEQYBEIkEoFMKuXbvw7LPPAgCWL19+\\\n",
       "2s+NEELEKBASQgghhJxDbrzxRgDAjBkz+GV33XUXACAej5+VcyKEfH5RUxlCCCGEkByn0lRm8+bN\\\n",
       "WZc3NjZi/vz5J/3Ye/fuBQAsXbr0pG9LCCEniwIhIYQQQkiOUwmEL7zwAl544YWs6wRB+NTPjRBC\\\n",
       "Pk0UCAkhhBBCcpxKILzjjjuwZMkSfnljY+MpPXZLSwt6e3uxadOmU7o9IYScDAqEhBBCCCE5TiUQ\\\n",
       "LlmyBLfffvtpP/aaNWug0Wiwf/9+ftmLL74IAFCpVKd9/4QQIkaBkBBCCCEkx5keTP/Xv/4Vjz/+\\\n",
       "OP8+EomgpaUFzc3NeOmllyCRSCAIAgwGA6ZNm4adO3cCAN59992TfixCCBkPBUJCCCGEkM/Yd7/7\\\n",
       "XTgcDv69IAjYt28f9u3bh5deegmRSAQajQahUIiHweXLl+PCCy88W6dMCPmcokBICCGEEJLjTFcI\\\n",
       "7Xb7uNer1WpqSEMI+UxQICSEEEIIGcWpBD1CCDnfUCAkhBBCCMlxpiuEhBByrqBASAghhBCSgwIh\\\n",
       "IWSyoEBICCGEEJKDAiEhZLKgQEgIIYQQkoMCISFkspCe7RMghBBCCCGEEHJ2UIWQEEIIISQHVQgJ\\\n",
       "IZMFBUJCCCGEkBwUCAkhkwUFQkIIIYSQHBQICSGTBQVCQgghhJAcFAgJIZMFBUJCCCGEkBwUCAkh\\\n",
       "kwV1GSWEEEIIIYSQSYoqhIQQcg5buHAhkskk4vE4JBIJqqqq8PWvfx2XXXYZjEYjpNLs3+sJgoBM\\\n",
       "JoNEIgGn04m+vj7IZDJMmTIFVqsVCoViQtUMQRAATLzywY7P/fuJqiyCICCZTMLn88Hn80Emk0Gr\\\n",
       "1UKhUAAA0uk0kskkotEoXC4Xjh49igMHDqCjowO9vb0YGBiAz+dDMpnMely5XI66ujo8/fTTWLx4\\\n",
       "MZRKZdbjptNpBINBHDt2DK2trQgGg9DpdDAajQgGg3jnnXfwzjvvwOPx8PuVSqVQqVQoKipCZWUl\\\n",
       "BEFAb28vnE4n4vE4MpnMmM+TvQYSiYTfT2FhIZqamjBjxgyYTCbY7XZ8/PHHaG1tRSAQQCqVmtBr\\\n",
       "P9bjKZVKWK1WFBcXI51Ow+12IxwOw+12n/L9TiZUISSETBYUCAkh5BymUqkglUohCAIkEglUKtUJ\\\n",
       "Qx0LHXq9HsXFxTxk5YbHEznVD7kSiSQrnE3keKVSCb1eD5lMxp9zJpPhX/F4HIFAAE6nE8PDw4hE\\\n",
       "Ivx5RSIRpNNpZDKZEY872mXi6xKJBMLhMAKBANLpNGQyGSKRCKLR6KgBTxAExONx+Hw+AEA0GkU6\\\n",
       "nR4RiHNfO3aZIAgQBAHpdBqRSAR2ux0mkwlWqxU+nw/RaDQrjI917uz+x3ud2bkODw/z55lIJMY8\\\n",
       "nmSjQEgImSwoEBJCyDmspKSEV8ikUikqKipgtVpPGO5kMhl0Oh2USiUPXFKp9DP74Hoyj8MqZnK5\\\n",
       "HFKplD+3VCqFVCqFdDqNUCiEoaEh9PT0wOFwIB6Pw2w2w2w2Q6/XY2BgALFYDIlEAoIgQCaT8Soj\\\n",
       "MDKkscqk1+vF4OAg3G43dDodYrEYotEofD7fqBU6FuZYsBqrKjhehZXdRygUQm9vLyKRCMxmM1Kp\\\n",
       "FNxuN1Kp1LhBLzeojHYsO4ZVXxOJBJLJ5LhVTJKNAiEhZLKgQEgIIeewpUuXIpVKIZlMQqFQYMqU\\\n",
       "KSgrK4NMJuPVplysQqhQKCCXH//f/ETD4MkuFc193NHua7z7ZeeqVCqzQhv7Owtl0WgUHo+HBzWT\\\n",
       "yYS6ujrU19dDoVDg0KFD6OzsxO7du+Hz+aBUKnl1NDcECYKAVCoFj8eDtrY2tLa2wuv1QqvVwmq1\\\n",
       "IplMwuFwjBrMZDIZNBoNCgsLoVAoeBUuk8mMqBTmPm/x80un04jH40gmkwiFQlAoFJBKpUgmkzzU\\\n",
       "jvfeiquNuaRSKeRyOf8lQDweRyKRGLdaSkaiQEgImSwoEBJCxrRq1Sr8/e9/x+HDh6HRaLB48WL8\\\n",
       "+te/Rn19/bi3e+211/Dwww+ju7sbdXV1+PWvf40vfvGL/HpBEPDII4/gueeeg8/nwwUXXIA//elP\\\n",
       "qKurO9NP6bxz2WWX8b/L5XJoNBpoNBrIZDIAI/frif+e+/14TicojLesMTe0jLackoWc0SgUCiiV\\\n",
       "SiiVSqjVapjNZigUClRUVGDp0qVoaGiATqfDVVddhUgkgn379mHDhg1wOByoqqqCQqFAKpVCJpPh\\\n",
       "j5FOp+H3+7F9+3Zs2LAB7e3tiMViUCgU0Ol0yGQycDqdWRVCiUTCl6jW19fj4osvhtVqxdGjR7Fx\\\n",
       "40Z0dHQgHA6PGgrFz1t8XTqd5nskxe/XeMFNHAjT6fSI66VSKdRqNQoKCmAymRAIBOByucZ9n8jo\\\n",
       "KBASQiYLCoSEkDF98MEHuPfeezFv3jykUin89Kc/xeWXX45Dhw5Bp9ONeputW7fipptuwqpVq3Dl\\\n",
       "lVdi9erVuPbaa7F79240NTUBAH7zm9/gj3/8I/77v/8bVVVVePjhh7FixQocOnQIarX6s3yK57yy\\\n",
       "srKshiTsT7bsUHy5uAqY++dYWEgQV9Emelvx7ccjDjhjVSpHqy6yKqdOp0NBQQHq6uqg0+kglUpR\\\n",
       "U1ODuro6mM1mXgW1WCwoLCzEnDlz0NPTA7/fD7lcjlAoBLlcDrlcjkwmA7/fjw0bNuAvf/kLWltb\\\n",
       "EQ6HkclkIJFIIJfLIQgCEolEVuBiy27LysrwxS9+EZdddhnMZjMuuOACVFVV4eWXX8ahQ4cQCoXG\\\n",
       "rNyNFgpHC/QnCoNsf2Xu48hkMhgMBsybNw+XXXYZVCoVtmzZgg8++IA3JaJQSAghJBcFQkLImNat\\\n",
       "W5f1/YsvvojCwkLs2rULS5cuHfU2Tz75JK644gr86Ec/AgD84he/wPr16/HUU0/hmWeegSAIeOKJ\\\n",
       "J/DQQw/hmmuuAQD85S9/QVFREdauXYuvfvWrZ/ZJnWfYHkBG3JQkmUzy7ppszxzbhzfRMCfuSppK\\\n",
       "pSCXy7OWmo5324ncP9tvx+6bPZ8TnR+7XrxEU6VSoaKiAgqFAkajkTehEd+fVCpFYWEh9Ho9hoeH\\\n",
       "4Xa7MTg4iEAgAIVCAZ/Ph40bN+LVV1/F0aNHefMYFtbEyzXFyz3ZnsyWlhYsXboUFRUVUCqVMJvN\\\n",
       "WLFiBfx+P3w+H7q6usat8OUui53oa8rCoEwm44Ew9zqz2YxrrrkG3/72t1FRUYF4PA6r1Yquri6E\\\n",
       "QqETdkIl2ahCSAiZLCgQEkImzO/3AwDy8vLGPGbbtm24//77sy5bsWIF1q5dCwDo6uqC3W7H8uXL\\\n",
       "+fUmkwkLFizAtm3bxgyE8Xgc8Xicfx8IBE71aZxXRltKyUJcNBqF3+9HPB6HUqmEwWDIaiQz1odU\\\n",
       "FjxYYAuHw7Db7fB6vTCbzSgpKYFOp+Nha7zbA+M3TgmHw3A6nYhEIrBarcjPz+fLXU90buy+5XI5\\\n",
       "H0WRTqf5ZaPdDwtvGo0GJpMJLpcLbW1tcDqd8Hg8OHbsGPbt24fBwcERnUTHa84ik8mQl5eHefPm\\\n",
       "oaysDGq1mge0oqIiLFmyBHv27IHD4UAikRi3GneyVTr2OCqVCmq1GplMBpFIhC+DlclksFgsuOGG\\\n",
       "G/D9738f5eXlkMlkSKVSaGlpwZw5c2C323nDGjIxFAgJIZMFBUJCyIRkMhncd999uOCCC/jSz9HY\\\n",
       "7XYUFRVlXVZUVAS73c6vZ5eNdcxoVq1ahUcffTTrskceeeSknsPnCRvF4PF44PV6IZVKkZeXh6Ki\\\n",
       "IphMpqxuneJwwqpXrAlKMBjEoUOHsHHjRvT396Oqqgpf/OIXUV9fD41GM+YHXTbmgT1O7nEssHZ2\\\n",
       "duKjjz5CJBLBnDlzYDAYRlQ9xbcRz1xUKpWQy+U8AIorYyxwZjIZyGSyUSuFCoUCmUwGR44cwc6d\\\n",
       "OzE0NASfz4dAIMArgey+mNH2XrIuqCUlJXzPIns8QRCgUqkwZcoUzJkzB7t27UIwGBxxn6M9lvh6\\\n",
       "ZrQmNiqVCnl5eSgpKYHBYIDf78fg4CBCoRAkEgkKCwtxww034I477kBZWRl/zQDAarVi3rx5OHbs\\\n",
       "GI4dO4ZwODzq+0lGokBICJksKBASQibk3nvvxcGDB7Fly5az8vgPPvhgVuUxEAjg+eefPyvnci5h\\\n",
       "4wtYJ0mFQpE1qzB39l0ikUAsFkMsFkMoFEJbWxv++c9/Yvv27QgGgygsLIRWq0VRUdGolUbxctV0\\\n",
       "Os2XmIqPYcFuaGgI7733Ht5//30Ax5viTJ06FXq9fsTzyGQyCAaD2LNnDw4ePAibzYb58+ejqKiI\\\n",
       "3z8LnplMBqlUCtFoFLFYDCqVCnq9PqtqKN5vFw6H4XK5+PgF8dJV1kmULeVkHToVCgXvUCqTyZCf\\\n",
       "n4/Zs2ejsrIyK9Cy6qHZbMbMmTNRXFwMp9PJg7d4z19uExj22oq7hoqb0rBZktOmTcOSJUvQ0NAA\\\n",
       "lUqFoaEhHDlyBMPDw7BarbjkkkuwbNkyFBQUZIVB1mCmvr4eF1xwAUwmE7xe76f3wzcJUNAjhEwG\\\n",
       "FAgJISf03e9+F//85z+xadMmlJWVjXuszWaDw+HIuszhcMBms/Hr2WXFxcVZx7S0tIx5vyqVCiqV\\\n",
       "6hSfwecPq6AZDAYYjUY+WJ3N4mND1lm4YNcNDw9jcHAQQ0NDsNvt2LlzJ6+esZl/Bw4cwEUXXYS8\\\n",
       "vLwRyzJZ2GONWLRaLW/EAmTP2Dty5Ag++ugjdHZ2QqFQoKurC+FweNQqWTwex6ZNm/Af//Ef6O/v\\\n",
       "R1lZGe655x5cccUVPOSI997F43EMDAygv78fZrOZN5xRqVQ8XEmlUuh0OuTl5cFgMPAwaDQaIZFI\\\n",
       "4PP54Ha7EQ6HkUqlIJPJoNfrUVFRgZqaGhiNRng8HsTjcVRWVuILX/gCCgoKRizjlUgkUKlUqK6u\\\n",
       "xvTp09HV1cWfI+uQyoI4C6Di0RAajQZKpRLxeDxreLzBYMD8+fPxta99DS0tLTAYDJBIJIhGowiF\\\n",
       "Qkin0zCZTCgoKBixn5I9vkKhgM1mw+zZs2GxWCbNUutPA1UICSGTBQVCQsiYBEHA9773PfzjH//A\\\n",
       "+++/j6qqqhPeZtGiRdiwYQPuu+8+ftn69euxaNEiAEBVVRVsNhs2bNjAA2AgEMD27dtxzz33nImn\\\n",
       "8bkhDlJsGWNeXh7kcjmCwSBSqRRf5ileGgpkB8KOjg4cPXoUDocD3d3dPKSxalcmk+Hhhc3HY4+f\\\n",
       "SqUQDofhdruzOnOymXxs4Lvf70dPTw9cLhffqycORGKZTAZerxevvvoqDh48yCuY+/btw5IlS7Iq\\\n",
       "iuwcXC4Xtm/fjsOHD6OsrAwmk4lXE1mIlUqlMBqNqK2txcDAAEKhECorKzFz5kwUFhbyeYM9PT3w\\\n",
       "+XzQ6/Wora3FtGnTeLUtGAwiGo1Co9GgqKho1GW07HUrKCjARRddhO7ubnR1dUEikcBsNkOn0yEQ\\\n",
       "CMDpdPIlmxqNBlarFeXl5SgtLYXBYMDw8DCOHDkCh8MBqVSK6dOn4+tf/zoWL17MlwGz10BcRWSV\\\n",
       "0dGWu8rlchgMBj67MhQKfSo/i4QQQj4/KBASQsZ07733YvXq1Xj99ddhMBj4Hj+TyQSNRgMAuPXW\\\n",
       "W1FaWopVq1YBAH7wgx9g2bJl+N3vfoeVK1fi1Vdfxc6dO/Hss88COP4h9b777sPjjz+Ouro6Pnai\\\n",
       "pKQE11577Vl5nucL8XBztreMzcazWCy84yir2Iln77EQIW5OotfrUVBQgFgsxpdBsn1yBoOB34d4\\\n",
       "Pl4ikYDX60V3dzdSqRRSqRSkUim0Wi1fGhmPxxGLxbKWlCqVSqhUqqwOnuKKn9vtRk9PT9YA9dEC\\\n",
       "ZCaTQSgUwu7du/H2229jYGAAU6ZMQUNDA39O4r2TarUaZWVlaGlpgUqlQmNjI6qrq/n5ipdpsnDF\\\n",
       "9isCQGFhIX8NWIfPscZmaLVazJ8/H7FYDIcOHUI6neaVu6GhIXR1dcHr9UKhUKC0tBQzZsxAU1MT\\\n",
       "iouLoVar4fP5cPDgQezfvx+JRAJz5sxBU1MTjEYjHzIvNt5oC3GVVKlUQqvVQq1WIxqNfgo/iZMD\\\n",
       "VQgJIZMFBUJCyJj+9Kc/AQAuuuiirMv//Oc/4/bbbwcA9Pb2Zn1QXbx4MVavXo2HHnoIP/3pT1FX\\\n",
       "V4e1a9dmNaJ54IEHEA6Hcffdd8Pn8+HCCy/EunXraAbhSRB32lSpVNBoNEilUjxQjbZnTalUIj8/\\\n",
       "HwBgNpsRiUTg9/vhdDrhdrshlUpRXl6O5uZmWCwWHipyq4xDQ0PYu3cv3G43Kisr0dLSgvLych6y\\\n",
       "kskkr5iVlJQgEAjwcxUHxdzxC6xDqlQqhcFggMViyfrZYtXB3t5evPnmm9i5cyei0SgikQgOHjwI\\\n",
       "rVab1cWUDX5XKBQoLy9HQUEBqqqqYDKZsh5/tIofI152O96HfvZ+FBUV4eKLL8bMmTN5oA0Gg3xp\\\n",
       "q9frhUajQX19PVpaWlBZWcmb1CSTSRQXF8Nms2FwcBCFhYVZzz83oLD3WRz+xWFY3CEVAEKh0LiN\\\n",
       "m0g2CoSEkMmCAiEhZEwTaY/PGoaIXX/99bj++uvHvI1EIsFjjz2Gxx577HROb1IaK8SIZ9SxPYRs\\\n",
       "RAMLCkqlkld3bTbbiEYzmUwGKpUKBoMhq4Im7lAai8XQ19eHnTt3ore3F1qtFq2trZg3bx7q6upQ\\\n",
       "UFAAjUbD966Vl5djYGAAkUgEAwMDOHz4MIqKipCfn5/VjMZsNmPBggUYHh5GJBJBdXU16urqspZo\\\n",
       "sr2DO3fuxMcffwyXy8UD0Y4dO6BUKlFeXs4/yEciEd5MRq1W87124grgRD7In0woUKlUyM/Ph9Fo\\\n",
       "RCqVQjweh9/v5xVSr9fL9xsWFxfDZDLxfY9qtRoymQyRSAShUAhutxtdXV38PtVq9YhzYY8hCAJ/\\\n",
       "DPG+T/ZaJBIJDA4OorW19XMRXm644QY0NDSc0cegQEgImSwoEBJCyHlMHBDZclHxaAbxceKKIiPu\\\n",
       "QJobIHOXm7JqV3t7O9rb22G325HJZNDb24tDhw5h1qxZWLRoEaZOncobpSgUCsRiMTgcDrjdboRC\\\n",
       "IYRCIVx++eWw2WxQKBQAjgfCa6+9FkVFRRgeHuaVRxZMGVYNdLvdfIlsJBLBkSNH+JLX6upqAIDT\\\n",
       "6URfXx9SqRRvOiPeE5lboTzdD/Xiihzr9Cp+PDbcXhAE6HQ6qNVqfj17bBbII5EI9u3bh7a2NgwM\\\n",
       "DGDhwoWoqKjg8w/Z+xGNRuF2uxGPx2EymZCXl8ePET+nWCyG7u5utLW1ndZznEwoEBJCJgsKhIQQ\\\n",
       "8jkhHpsgHj0w1oB5hi05ZNW20a5jnUP7+vpw5MgR3p0znU4jEokgEAjA7XYjGAwinU6jvLwcLpcL\\\n",
       "vb296O/v501onE4n+vv7EQgEcMMNN6CoqAhyuZyPRygtLeV7GseaWciCJgtGEokEgUAAHR0dePPN\\\n",
       "N/m+SK/Xi3Q6zbt/ajSacWczikdAnArxbES2f0+hUECn0/GgqFQqEQqFRixFZY/JZio6nU7s27cP\\\n",
       "wWAQBw4cQG9vL66++mrU1NTwpdXxeBw+nw89PT1wu92wWq1oaGgY0QlVIpEgmUzC6XTSktGTQIGQ\\\n",
       "EDJZUCAkhJDzmLg5C/BJx0sWlsQBZ7QPreJuleKZheIgmEgkEA6H0dfXh+3bt6Orq4vvBWRfmUyG\\\n",
       "7y3U6/XweDwYGhrC/v374Xa7EYvFIAgCEokEurq68Pbbb2PBggWwWq28cqnRaHjjGXZOueev1+tx\\\n",
       "+eWXo6+vD/v370c0GuWhSxAEtLW1Yc+ePYhGoxAEAXl5eSgvL4fZbB51rmI6nR4xwzF3f6N42ax4\\\n",
       "b17u68hGcsRiMT4WRCaTQaFQ8OYy4veGLe0VPx5wfBlof38/BgcHEQgE4HK5EAqFIJVKceWVV6K0\\\n",
       "tBRyuRyRSITPJOzs7OTLT41G44hfCrClpKx6TE6MAiEhZLKgQEgIIeeh3Eqe+AMpCxziy0/mg614\\\n",
       "CWkkEoHH40F3dzd27NiBrVu3wuVyIZ1OZ+0xZOMmPB4Pjhw5gkAggMHBQQwMDCAej2dVzdi+N3au\\\n",
       "rDJ3ovNknTwXL16MqqoqdHd3Y3BwEA6HA319ffB6vejo6IDH40EkEoFcLofJZILNZuPBUxz0MpkM\\\n",
       "IpEIent74Xa7kZ+fj7KyMuh0uqzQFolEEIlEeLMbjUYzIsQBx8NlOByG3++HQqGA0WiEWq0e0bk0\\\n",
       "kUjA5/MhEAjAaDRm7aUUBAHRaBR2ux2hUAjxeBzJZBIDAwP46KOPUFxczJec+v1+tLW1YceOHejs\\\n",
       "7OSVU7a0VC4//k+8XC6H1WpFXV0d2tracOzYsQn9LBBCCJkcKBASQsh5ShwKR6sUiv8cT+6xbMxC\\\n",
       "Op2G3+9He3s7Pv74Y+zevRt9fX2Ix+N8+SOrDkokEh5sAoEAMpkMXC4XH7LO7l8qlcJkMmHRokWo\\\n",
       "qqrKCkPicxitoRGrfrJ5gdXV1UgmkwiHw+jt7UVfXx9ef/11PrRdpVKhoqICjY2NMBgMI5aDptNp\\\n",
       "DA8PY/v27RgaGkJ9fT30ej0UCgXkcjnS6TR6e3uxa9cutLa2Qq1WY8GCBZg9ezbMZnPWUlw2ksPl\\\n",
       "cqGvrw86nQ7l5eW8KimuwGq1WgwPD8PhcPC5iWw5ayqVQiQS4RVYFqQTiQQcDgfa2tpgNBphNBox\\\n",
       "NDSEbdu2Ye/evXC5XJDJZJDL5Zg1axasVmtW2M7Ly8OFF16IaDSKbdu2nfiHi1CFkBAyaVAgJISQ\\\n",
       "81juTD9g4mEwt+kMw+YJspl/AwMD6O3thdfr5cPqWfWJHcc6bJpMJhiNRmg0GsRiMd5tUzyK4ppr\\\n",
       "rsE3vvENFBQUnHB/IztP8XMS77eTy+VQqVTQ6XSorKzkMxaPHTsGvV6PpUuXora2lnfyFMtkMgiH\\\n",
       "w/B4PPB6vQiFQkgkEkgmkwCO79Hbt28f/va3v+HQoUOQyWRob2+HSqXCrFmzsiqJqVQKbrcbe/fu\\\n",
       "RWtrK0wmE+bPnw+9Xs8fm52vVCpFKBTiFc76+npUVlZCq9XyJacsmLJAzd6L7u5u3pCmo6MDu3bt\\\n",
       "wsDAAGKxGKRSKTo6OrB161bU19ejpKSEVzI1Gg0aGhpgMpmou+8EUSAkhEwWFAgJIeQ8M9r+NfES\\\n",
       "0dyAOBpxkBttuaZ4/x4bPJ+XlwelUpm1N5HtM2SVu6KiIhQXF0On0yEcDmNgYAAOhwPpdBqVlZVY\\\n",
       "vnw5LrjgAhQWFo6oDo72fEZ7vrmvhUwmg1qthlKp5PsSjx49CqlUiqlTpyIvLy9rFAMjk8lgNpv5\\\n",
       "MZWVlVldPAVBgM/ng91u501xdu7cibKyMpjNZlRVVUGpVCKTycDtdmPz5s34xz/+ge7ubhiNRsRi\\\n",
       "MdhsNr5/kInH4+js7MRHH32ESCSCkpISzJ8/HzNnzuRjMRoaGtDR0YHBwUEeUEOhEN+/KZVKMTAw\\\n",
       "gMHBQYTDYT6HMBAIYN++fThy5AiMRiMMBgMPogaDATU1NeP+XJBPUCAkhEwWFAgJIeQ8NVYlcCIV\\\n",
       "t0gkgkQiAbVaDZVKldWVkt2HXC6HXq9HeXk5APAlmmz/XTwe581b9Ho9iouLUVZWxmcRAsf3y6VS\\\n",
       "KWg0GuTn58NisfB5eydTwTzR82IB1Wg0oqGhASUlJUgkEtBqtVAqlSOOZ0EyPz8f8+bNQyAQgEql\\\n",
       "4nMPxUstjUYjHxzv8Xjw/vvvQ6FQ4KKLLoLNZkMkEsFHH32Ev/3tb2hra0MkEoFKpUImk+HnwsJv\\\n",
       "JpOBw+HA9u3bsXPnToTDYahUKrS3t8Pv92PhwoUwGo1YsmQJIpEItmzZgqGhIUSjUb63MBgMQiqV\\\n",
       "IhgMIhqNZnWHTafTcDqdOHDgAEpKSlBZWQmNRsNDIavskhOjQEgImSzoXwZCCDkP5FbMcucP5hrv\\\n",
       "A2o6ncbRo0fhdDpRW1vL97rl3r9cLofRaER1dTVKSkp4SGLNWFhjFLlcjsLCQthsNpjN5qzh6Kxa\\\n",
       "yTpssiA41vnldvU8GexxWABilTUWxHLHSrDum/n5+TAYDEgkErw5DnueNpsNM2bMgMvl4tW6np4e\\\n",
       "rF27Fvv27UN5eTkikQhaW1tx7Ngxvn8xHo/j2LFj2LJlC+bMmcMrj7FYDIcOHcLevXtht9v5UtpU\\\n",
       "KoXy8nLMmjULpaWlsFgsfPnt22+/ja6uLkSjUb6kVKFQIJVKjXi/WJfWwcFBdHV18Y6jEwngJBsF\\\n",
       "QkLIZEGBkBBCzmG5Q+ZHqwqezIdRQRAQj8fx1ltvobu7G5deeikKCgpGbe7CBqmLu1Wy5ZSxWAx+\\\n",
       "vx/hcBhqtRp5eXkwGAz8fnKDau55j7aslR2fuwT2ZLDQxwbep1IpPt6BdeHMXRrLnl8ymYTf70c8\\\n",
       "HudzDnU6HebPn490Oo2PPvoIvb29vInN0NAQnwkYDocRiUSQSqX4+YdCIezfvx/t7e3Iy8uDQqGA\\\n",
       "x+PBgQMH4HK5+CgOFrBDoRAfTM9GabDbOBwORCIRpNPprBmHbJQEC8IWiwVWqxUSiQQ+nw9+vx8m\\\n",
       "kwlKpTKrsc35bvXq1Whvbz/bp0EIIZ8LFAgJIeQcxpYDsj1/LMCc6gB1NtZg//79GBwcRFlZGS65\\\n",
       "5BIYDIYRx7LQwfYTigOFuFmJWq2GXq8fMedvrCH3LOSONtOPXc8qeqdS2RLfJ+tCCgAGgwF6vX7E\\\n",
       "Y7K/h8NhHDx4EL29vZDL5SgqKkJ5eTmqq6thNpthNpvxr3/9C0ePHuVLONl8QPbcxNLpNFwuF/bt\\\n",
       "24fKykoYDAYMDQ1haGiIVyPZaySXy2GxWHiFVS6XQ6FQoKamBsuWLcOuXbvg8/n4zwAL4Vqtlr/+\\\n",
       "RqMRZrMZeXl5KCoqgsFg4Hs8Pw8h8LNGFUJCyGRBgZAQQs5hLGiwTp0sDObu+TuZ+0smk1Cr1TAa\\\n",
       "jWM2XBHvo2PfiwMhG7gOIGuY+1iVSza0PRQKwev18nMwGAx8TyEAPqMwnU5DoVBArVbzSthYxvow\\\n",
       "nk6nEQgEMDAwgEQigfLycn6uuTKZDOx2O9577z3s378fmUwGFRUVuPHGG1FXV8eDmsPhyGrkIg6u\\\n",
       "4qHz7LJEIoGjR4/iyJEjKC0thdPp5CM6ZDIZBEGAUqmE1WpFY2MjzGZz1sxCrVaLhoYGNDU1YWho\\\n",
       "CKFQCGq1GmVlZWhsbOTLeS0WS9ZeULlcDp1OB61Wy9+ziTQbIp+gQEgImSwoEBJCyDlMHMROtSrI\\\n",
       "sFCgUCiwdOlSxONxXHDBBdDpdGN2Lh2rssSCqrj6NN6+wEwmA6fTibfeegubNm1CJBJBaWkp5s6d\\\n",
       "i8bGRlgsFkgkEoRCIbhcLkQiERgMBpSWliI/Pz9rGLz4vMTVy9zHjMfj6Ovrw44dOxAMBjFr1iwe\\\n",
       "nHIDZiqVQnd3N3bv3o2Ojg6kUikMDAxgxowZqKqqgtFohM1mw7Rp07BlyxYMDw/z5aHivYtsxARb\\\n",
       "1qlSqeByudDW1oZ0Oo1oNAqbzQabzQaJ5PisR5PJhNmzZ2P27Nk8wIlHa5jNZsyYMQPd3d1wu93I\\\n",
       "y8vDzJkzMWfOHFRVVfEmPmzfI2vkA4DvXRS/pxReJoYCISFksqBASAgh5zBWcWIVJXHV7mSIQ5Ra\\\n",
       "rcby5cuhUCh4QBpr/IN4zxo7hlUsw+EwX46pVqvHDRuRSATr16/HU089hb6+PqTTaajVamzevBnN\\\n",
       "zc2YOnUqtFotvF4vhoaGEAwGoVarUVpaivr6etTU1MBqtUKlUvFglU6nYTQakZ+fD51Ol7W8NJ1O\\\n",
       "w+/3Y9euXVi/fj18Ph96enpQVFSElpaWrOfDwmN7ezsGBwcRCAR4Y5i9e/di4cKFMJlMfLQGGw3B\\\n",
       "ZgRKpVJoNBpUV1dj+vTpsFgsCAaDGBoagt/vRyKRQG9vL0wmEywWC6ZNm4ZUKoWenp6scRyVlZW8\\\n",
       "6srOiy0Rra6uxrJlyxAOh1FUVISamhpUVFTwZaNsuS6rxCaTSaTTaf6zwpYeUyCcOAqEhJDJggIh\\\n",
       "IYScw8T77EabFzgecXVPXPFj++NY98nRAiYbts7GTLCKGqtqBYNB9PX1weVyobS0lHf2HG1pJ6u+\\\n",
       "rVmzhs/RY3sZQ6EQ+vv78dFHH0Gr1fKGNfF4nJ+rTqdDXl4eCgsL+aD7YDCIZDKJoqIiXHzxxViy\\\n",
       "ZAlMJhOvsCUSCQwNDWHr1q3Yv38/wuEw+vr6IJVK8eMf/xhVVVV86Wg6nYbb7UZbWxsCgQCSySQP\\\n",
       "UAMDA3C5XCguLkYymUQ8HuchjYV1tv9v8eLF+MIXvoCioiIEg0Hs378fO3bsgMvlQjAYhN/vR2Fh\\\n",
       "IWpra1FSUgK/3w+pVAqbzYaqqiq+j5MFcRZKU6kUSkpK+HJStm+QjQwRd24VN8lh71fu3s1TXW48\\\n",
       "2VAgJIRMFhQICSHkPJD74XQiyzTZnywQiCtEYzWmYcewvXyxWAwAoFAo+HXhcBjd3d3YsWMH7HY7\\\n",
       "qqurYTKZeKVRvEQxlUrB6XTib3/7G1pbW5FIJLLm5on3FrKAyi4XH9fV1ZUVOFnlUqVSYffu3ejv\\\n",
       "78esWbPQ0tICjUaDUCiEjo4OHD16FD6fD4lEApFIBP/f//f/QavV4v7770dJSQmkUinC4TBaW1vR\\\n",
       "2dnJm72w15Z18Uwmk4hGo/D5fDyssvdEpVKhsLAQM2fORF1dHUwmE9/vye47nU7zcRYWiwXFxcV8\\\n",
       "H6ZWq4VWq4VMJkM6neZLcdmcx0wmg8LCwqz9j+l0mi9ZFYd2cTBk584eGwCfR0gIIYQw9K8CIYSc\\\n",
       "w8YazSD++3jjG9jyzlQqxStE4uYnuffJjo9GowgGg4jH47zbqEQiQTQaRV9fH7Zv3479+/cjGo0i\\\n",
       "kUjwTpxsiDtbhtnV1YWXX34Z//jHP+D1ekd04mTVMPa4uUs5TzSTMBaLIRaLYc2aNTh48CAAoKam\\\n",
       "BqFQCF1dXfB4PLziBwA+nw9/+9vfoNPpcNNNN8FisWBoaAgffvgh3G43APC9ijqdDo2NjSgqKoJC\\\n",
       "oUAwGEQoFMpaKiqTyaDVamGz2fheR7a8t7CwEPX19QiHw/B6vZBIJFkNc3Q6HW+aw/b/sTEZbDku\\\n",
       "C5DiwM32CabTaR7Y5XI5H6sh7kTLqrypVAqxWAwymYyPyiDjowohIWSyoEBICCHnkdHmyIn3heWG\\\n",
       "QVbZCoVCPNwplUro9XoeHtjxrCoVCoXg8XgQCoX4jDsACAaD6Onpwd69e3H48GEEAgHodDoUFxcj\\\n",
       "GAwiGAzyMOjxeLBp0yasXr0aBw8eRDAYzBqkLj5X8d/T6fSooytGC69s+WoikUB/fz9isRiKi4sR\\\n",
       "iUR4GGXhTfwcPR4P/v73vyMajaKxsRHDw8M4fPgw39eo1WphNBoxdepUXHPNNZgyZQrkcjmCwSDk\\\n",
       "cjlfrsn+XlxcjMrKSmi12qylmRqNBmVlZYjFYhgYGEAsFsPw8DDkcjl/XZVKJQ+9bElqKBSCz+dD\\\n",
       "KpWCxWKBVqvNqg6y14dVVlOpFO/YysKoOPDHYjF4vV6EQiGk02kUFBScxk/g5HKmgp7dbkdxcfGI\\\n",
       "x4pEIhTYCSGfOQqEhBByDsutAo5WLRuvIUw0GoXD4UB/fz88Hg8PPRaLhXfuFASBV6U8Hg+Gh4cR\\\n",
       "CAR4lUypVCIYDOLYsWNobW3FwMAAIpEIn5XHhqErFAokEgn4/X68//77eOGFF9DW1sb3DLIlmOI9\\\n",
       "bbmhUDzAXtwQJfdY8fHs/P1+P/bu3cuP7+7uRjqdHvE6pdNpOJ1OvPfee+jo6IBUKoXP5+NB0Gaz\\\n",
       "oaWlBUuXLsWsWbOgVquRyWRgsVhQX1+PwcFB5OXlIZPJID8/H1OmTEFTUxMMBgOSySQSiQSv0uXn\\\n",
       "5/MqYmdnJ5xOJ4aHh+HxeDB16lRIpVIYDAZezUskEnxJqkqlgtFo5GM5xL8MYHst3W43EokEjEYj\\\n",
       "VCoVX3oqfp1jsRhaW1uxf/9+DA8P44ILLjjln8fJ5ExWCEtKSgAARqMRl19+Od58801Eo1H+SwVC\\\n",
       "CPksUSAkhJBz2FjLJcXBabTbsJDk8XiyghyrErH9a2zfGqsiBgIBxGIxKBQK5Ofno7i4GBqNBkND\\\n",
       "Qzhw4AD6+voQiUQAHJ8/CABTpkxBeXk5zGYzgE+Wcfr9fr7PDQCvqEmlUr4/MXdoOtvfqNFoYDQa\\\n",
       "IZfL+XmxvXLiY1nwYss8HQ4Hdu7ciXQ6Dbvdzpehil9LVl1zOByIxWLQaDRQKpWwWCyoqanBokWL\\\n",
       "MH/+fJSXl/NB9plMBmazGXPnzkVlZSUPxKx6p1Ao+D7LeDwOpVIJuVwOg8HAq3vBYBCdnZ1wOBwY\\\n",
       "Hh6GRCLhHUKVSiUA8KHzCoUi6zXIfb/T6TRCoRB/DiywiseTsGPZuI9t27YhEAjgP//zP0/2x3BS\\\n",
       "OpOBkP0s+v3+rPsYb3k0IYScKRQICSHkHCZeZpn7QX+8D6HpdBqRSAQDAwM4cuQIjhw5wkcqsH1/\\\n",
       "rOEIW3bJRhWwoJJKpfhYg1gsBp/Ph0gkwhuUsCWbNpsNeXl50Gg0AICCggIsXrwY27dv50tJpVIp\\\n",
       "zGYzD44ejwddXV3wer28kQsb2G61WjF37lxceOGFMJlMaG1txb/+9S/09vZmHcvm/BkMBl4Zi8Vi\\\n",
       "fPloNBpFKpXiSyhzm/Kw0RVqtRpmsxllZWWYNWsWFi5ciIqKCn6f7PHY8tCSkpKs94EtzWWPGYvF\\\n",
       "IJFIeNBTKpWQSqUoLy/HgQMHEA6HEY/HYbfbUVtby7uWsufE9muyLqLirqAs7IsDYTQahUqlQiqV\\\n",
       "yupKy447cuQItmzZgoGBAf7zRE7sVALh5s2bsy5vbGzE/PnzRz1eEARcdtllWL9+PWbNmgUA/BcD\\\n",
       "hBDyWaJASAgh5zCfz8eDEmsaMtaoCIbtR/P5fOjv70d/fz9cLhe8Xi+CwSAf6yBuOCJuOiMeb1FW\\\n",
       "VoaKigpIpVK0trbyZYgAePMZViVjew01Gg0aGxvxwx/+EDU1Ndi3bx8AoK6uDnPmzIHNZkMwGMRH\\\n",
       "H32Ed955B93d3YjH45DL5SgtLcWXvvQl3HDDDSgvL4dMJoPL5YLJZMJzzz2H4eFhZDIZSCQSaDQa\\\n",
       "lJeXo7Kykgdgp9PJnyOrTrJqKGvKwpZ1sj2TgiDwTp8VFRUoKCjIGujOPryzpZijhUsWHCORCGKx\\\n",
       "GK/qsaWeOp0O5eXlmDp1Kux2O6LRKB9dwZbesn1/bO4jqzKOFkxYJTIYDCIcDiMSiYxYHsu6vB44\\\n",
       "cABOpzOrgyo5sVMJhC+88AJeeOGFrOtGe809Hg8sFgvefffdrF/wxOPx0zxrQgg5eRQICSHkHHbk\\\n",
       "yBHIZDI+i4/t/RtvwDgLApFIhDdYYZVAFqZkMhlSqRQfSZC7dBM4vs9pwYIFqKysRFVVFfr6+jAw\\\n",
       "MMCXbmYyGYTDYX6f4g+2Go0Gzc3NKC8vh91uRzweh9lshtVq5Xvy5syZg2XLluH9999Hb28vCgoK\\\n",
       "cPHFF2PhwoWwWq08YKpUKnzpS1/Ctm3bsH37diQSCajVajQ0NGDlypWorKxEf38/uru7+TJV1lmU\\\n",
       "Vd0MBgOKioqg1+sRCoXgcrkQCAR4VU0ul8NkMiEvLy9rzx57Pdm+RPFoBzHxvj1WbWWPzQJkXl4e\\\n",
       "Zs+ejWQyCafTifLyclgsFr7kVLy0lXUwHSuUiEeHsErgaE16kskk+vv7KQx+Ru644w4sWbKEf9/Y\\\n",
       "2DjqcTabDcDxn+3m5mbs378fiUQCSqUyqxESIYR8FigQEkLIOezDDz+ETCaD0WhEdXU1GhoaeLVw\\\n",
       "NOJZgwaDARUVFbzDaCKR4Pvt8vLykEqlYLfbYbfb+aB3QRCgUChQUVGBG2+8EQsXLoRWq8WUKVNQ\\\n",
       "WFiIaDSKdevW8UYxkUiEj2sQY3vhioqKUFBQkDW3jwUcg8GA4uJiXHzxxTxsjVaBUyqVqK+vxw9/\\\n",
       "+EM899xzcLvdWLhwIW666SZUVVVBKpXC6XSiq6sLDocDTqeTL9tkDV3q6upwxRVXoKmpCXK5HL29\\\n",
       "vdi1axc6OjqQSCRQUlKCGTNmIC8vjwdR9nomk0n4/X74/X5oNBpYLBZeQRQ/JzZKIpPJQKPRZAU6\\\n",
       "mUwGjUaDuro62Gw2hEIhHvRzm8aM1UhIHLhVKhVsNhtqa2vhcrlgNpt5IBUHP/Y+0FiEk3cqFcIl\\\n",
       "S5bg9ttvP+HxrOMvGxsCHH+v2HJsQgj5LFEgJISQc5h4+HgsFuOVr9EqhOIgwBqalJeX83l1bBmp\\\n",
       "xWLBBRdcgPz8fHi9Xuzduxe7d+/GwMAA4vE48vPzcdVVV2H+/PnQ6XQ8qFVWVuKb3/wm2tra0NHR\\\n",
       "wZeOhsPhcZvfiANWLnFlbawP3ywAzZ49G3fddRcCgQCampowZcoU3qK/sLAQcrkczc3NOHToEG9Y\\\n",
       "w4bGsz2JVVVVUCqVaG5uxvz589HT04Ph4WHIZDKUlpZCr9dnVepYxW9wcBAHDx5EJpNBQ0MD6urq\\\n",
       "oNfrR4Q+nU7HQ7e4GQwAvj/QZDJBp9PxpabiAMxeU1aVzN0TyF4PuVwOi8WCqqoq6PV63rgmtxsr\\\n",
       "e65vvPFG1jxGcmI0h5AQMllQICSEkHNYfn4+5HI59Ho9TCYTn0UHZI9dYN+zQMAqQ2azGcXFxRge\\\n",
       "HobD4UAmk4HNZsO8efNQWloKmUyGyy67DN3d3di3bx8cDgeqqqqwbNkyFBYWZgUetVqNBQsW4JZb\\\n",
       "bsHTTz/NRzUoFIrTfp4n+kAtlUqRl5eHhQsXIpVK8coaC29slMbcuXOxd+9evoyysLAQCxcuxOWX\\\n",
       "X46amhoYjUYeQFmFMhKJIJFIQKFQwGAwjKgQplIp+Hw+tLW1obe3F0eOHMHKlSsxY8YMaLXarEDI\\\n",
       "gpl4bEbu82DX5YZg9j0bUC9+P3P3jbLKp81mg0ajQTqd5jMNxaFQpVLhoosuwttvv42PP/4Y0Wj0\\\n",
       "tN6nyeRMB8JMJgOTyYTLL78cb731Fi3pJYScNRQICSHkHFZRUcHHG1itVmg0mhEhkH2xIMCuYxUp\\\n",
       "NkQ9Ho/zBiQGg4EPMjeZTCgsLERzczOSySSUSiV0Oh3vdslIpVIYjUZcd9116OjowIcffoiioiLe\\\n",
       "dfNMYksyjUYj78opDkisCQtbGlpXV8eb2zQ3N/Pqn3hvoHjEBeuuypr2iMOATCaDXq+HUqmE3+/H\\\n",
       "4cOHUVpayiuU4uYzuUPhx3s+o71mbK8iG1LPqqPsPRQvUxUH2EQiwcOk+JcCcrkcU6dOxYMPPog1\\\n",
       "a9agtbX103pLPvfOZCB8+eWXcfPNNyMQCOCvf/0rv3zPnj0ndT+EEPJpoEBICCHnsLKyMshkMqjV\\\n",
       "ar40EADvKJlOp0d0CBUvMWTLTd1uN7q7u9Hf3w+/3w+fz8crhCzIsH2JuXv9xNjSyltuuQVGoxEm\\\n",
       "k4l3IT3TckdviEMx65Sq1WqxcOFCXHDBBcjLy4PJZOJharRqXO4cw9wwyIJmUVERmpub4fV64fV6\\\n",
       "eeOa0c5R/BjiPZ3sshPJZDKIx+MIBAJIJBJ8HiEL6bkjKjQaDR9sz5oEsechlUqh1WqxYMEC1NfX\\\n",
       "w+v1ntZ7MJmcyUD4ta99DV/72tdO5bQIIeRTR4GQEELOYWwPn3ieHQC+rDAejyMajSKTyUAul/PR\\\n",
       "FOKAlkql4Pf74fF44Pf7kclk+PgGJvfD73gfcOVyOWw2GxobG3lQ/az2UOU2XmFLQ9mg+0QiAb1e\\\n",
       "D6PRyIfCi6uC7Da5fxeHYPFrwSptGo0GNpsNFRUVUCqVMBqNJxz9IQ6D4+2xHE0mk0EikUAkEkEm\\\n",
       "k+GD73Mb7gDIqpaKu8nmzmvMy8uDwWA40UtMCCFkkqFASAgh5zCz2cyXNrIlg+l0GuFwmA+ddzgc\\\n",
       "UCgUKC4uRmVlJQoLC6HT6Xh4SCaTvJuox+NBIBDA1q1bMWvWrBEjFiZCKpXCYrFg5syZUKvVMBqN\\\n",
       "pxUIcztjAqMHJfH4BxaIw+EwBgcH0dnZiXA4DK1Wi+nTp8NoNPLK2ViPmclkeKU1dwmq+DxYs5iq\\\n",
       "qirI5XI4nU4+nmK858TCGbsfFgzZ38XhLvdPVtkNhUIIhUJIJBJIpVL8eeUu5wWOh8FEIsFHTLAG\\\n",
       "Oew5sD2OZGKoqQwhZLKgQEgIIecwlUrFw4pUKkUmk0EsFsORI0fwj3/8Azt27EAgEIBGo0FlZSVf\\\n",
       "LllZWQmtVsv3yLFB5slkEslkErt374bH44HVap3wubAQxapxKpUKZrMZSqXylD8Qs+DEZiECyApK\\\n",
       "4gDIAlwymUQkEoHdbsf27duxYcMG9Pb2QhAEVFVV4e6770Z5efm45yR+XFZdBUavlLKlmUajERUV\\\n",
       "FcjLy+PD5HOXhLL7Zt1J4/E43/Mobj4jXqaa+3gymSyrIhiJRPiewlgsBovFwpv5iJvQxGIx+P1+\\\n",
       "xONxGI1G2Gw2GI3GrOWyFFwmjgIhIWSyoEBICCHnsNzQkE6n4fF48MEHH+C9997jg+LlcjlcLhfi\\\n",
       "8TgKCwtRXFzM9xxarVbU1NRAo9HA5/NBEAQEg0E+S3Ai2D49v9+Pvr4+DA4OQq1Ww2q1nnDpJDPa\\\n",
       "mIxkMolwOAyv18uH3LPgGw6H4XK54HK5EAwGIQgCr5KGw2F0dHRg165d6Onp4d0zPR4PNm7ciPnz\\\n",
       "5/MOoGOdF1tqyl4/rVY7ZqWQhUK2hJcNgmeD7VngY6GZLecNBoO8OQwLgmq1ms8pzA2T4oYxOp0O\\\n",
       "0WiUB+BoNIpwOIxYLAar1Zp1LtFoFB6PB93d3RgcHIRer8esWbNQW1vLq8VjvQ9kdBQICSGTBQVC\\\n",
       "Qgg5T7Cqk9PpRHt7O3w+HxKJBN8zFgwGMTAwAKfTCeCTGX9msxkXXHABPvjgA7780GazZS0pPNHj\\\n",
       "plIpDAwM4J133sH27duRTqcxZ84cVFdXj9sxk1X92CgH8ZLIdDqNQCCAY8eO4dixY/B4PLxBTjAY\\\n",
       "RG9vLzo7O2G32xGNRvnoC4PBALVajVgshuHh4azqYiQSQWtrKwYHB5GXlzdquGOhLZFIIBqNIh6P\\\n",
       "86Apl8tHLKFlQU/cgIbNdmTjHsT7Ntl1wWAQbrcboVAI6XSahzyTycTDYW5HUhYQWSMhg8GAVCqF\\\n",
       "RCKBQCCAcDiMaDSKaDTKl61mMhm43W60trZi+/bt6OzshEqlgsvlglar5fsexV1TyYlRICSETBYU\\\n",
       "CAkh5BzGGr9IJBJeCQoGg3wJYzKZ5HvGWFMZnU7H5+GxhiJ1dXW49dZbIZFI4HQ68YUvfAH5+fkT\\\n",
       "6g7KKopvvvkmXnzxRTgcDmi1Wmg0GixfvnzM82bLHNk5iGcoAkA8HkdPTw/ef/99tLW1IRKJADge\\\n",
       "qILBIOx2O1wuF0KhEK/EsUoeG+5uNBoBIKv5SjgcxqFDh1BdXQ2DwZD1HFm4jUQi8Hq98Pl8SKVS\\\n",
       "0Gg0UCqV0Gq1oz4f8b4/VtkLhUKIx+MQBAEKhQJKpZJfF41G4ff7MTw8DL/fz+ccms1mCILAQyQL\\\n",
       "f+zcWIjOZDKQyWTQaDT8dQyHw/D7/XC73XC5XMjLy4Ner0cikUBHRwe2bNmCffv2wev1Qi6XIxgM\\\n",
       "wmazQaVSwWKx8J+hvLy8E77nhAIhIWTyoEBICCHnsEgkwvekpVIpBINByOVyTJ8+HYIg8DES0WgU\\\n",
       "arUaTU1NmDZtGl/+yAKHwWDAhRdeCLPZDIfDgcWLF0+4O6ggCAgEAti1axf6+/sRDoeRSCT48tPR\\\n",
       "loKm02lEIhGEw2Go1eoRw+vZctGBgQEcPHgQHR0dSCaTUCgUkMvlPOiypZnsi4UllUqF8vJy5Ofn\\\n",
       "I5lMwul0IhwOIxgMIpPJYOfOnWhsbERDQwNUKlXWcs5oNIr+/n50dHTA4/FALpfzJbZjyd3/x2b/\\\n",
       "DQ4O8sdmFUz22rOqHnt/5HI5QqEQXxIqlUqhVqt54594PM6Dr7hKqVQqeQMbn8+HoaEhxGIxKJVK\\\n",
       "aDQaRCIRHDt2DG1tbXC73XzsREdHBzZv3gyLxYLS0lLejOiSSy452R9DQgghn2MUCAkh5BzW3t4O\\\n",
       "AFlLFi0WCxYsWICpU6fC4XCgv78fPp8va98YWyLIghBbOtrS0oJ4PA6z2TxiNt9YWGVOr9fzwe1s\\\n",
       "b+Jo+/TY0tZAIIBIJDIiDDJsuSRbAplOpyGTyXj10Wg0QqlUwuVy8WCsVCqRl5eHxsZGLFmyBFVV\\\n",
       "VZBKpRgcHITD4cDu3bsxMDCAPXv2QK/X49Zbb0VlZSVvAJNKpeByubB9+3Z8/PHH8Hq9MBqNmDlz\\\n",
       "JoqKisbdUymeW6hSqaBSqZBIJNDT04Oenh6Ew2FejbNYLPz6QCCAYDCIdDoNr9fLG80kEgmoVCpE\\\n",
       "IhEMDQ1hYGAAsVgMJpMJNpuNv77pdBqhUIjvETx27Bh8Ph9vhsPmTHo8Hl6xFAQBkUgE3d3d2L9/\\\n",
       "P192GwwGKRBOEFUICSGTBQVCQgg5h73xxhuQSCR8L1hdXR1sNhs0Gg0ymQxCoRDcbjfC4TA0Gg1K\\\n",
       "Skr4HjVGvHdMp9ONWrEbj0QigclkwiWXXILe3l709/ejuLgYS5Ys4WMxxMTNYpLJ5KgfrFmVLD8/\\\n",
       "H1arFUNDQwCA4uJiNDY2oqqqCiqVCna7HQcPHsSxY8cQDAah1WrR1NSEyy67DDNnzuRLMKdMmQKn\\\n",
       "04lAIMAbq3g8HqhUKtx5553Iz8/nlTiHw4GPP/4Y27dvRygUgkajQTwe54873uvAXkeVSgWDwcCX\\\n",
       "rPp8PrjdbkilUoRCISSTSZhMJh4CHQ4HwuEwFAoFXwbr9XohkUjQ19eHffv2obu7G7FYDHq9HpWV\\\n",
       "lZg2bRrKy8uhUqkwPDyMQ4cO4cCBAxgYGOABmb3PsVgMqVRqxH7EcDiM/v5+3pSGNbg5391www1o\\\n",
       "aGg4o49BgZAQMllQICSEkHPY5s2boVAoUFhYyMOQyWTiSwjZPrp4PA6ZTMareOLmLYx46Drr5jna\\\n",
       "ks9cEokEGo2GLzPt6+uDzWbDjBkzoNPpRr29eHaiUqkctXmNTCZDfn4+qqqq4PV6oVarMXv2bCxa\\\n",
       "tAgVFRVQq9VIp9Pw+Xzo6enBwMAAZDIZqqurUV1dDZPJBLlcDkEQoFKpoNPpUFZWxm/j8/nw97//\\\n",
       "HS0tLVi2bBmUSiVvZNPb2wun08krmIcPH0ZfXx/mzp2b9brlDq4HwKuEOp0ORUVFKC4uxrFjxzA8\\\n",
       "PIxEIoFYLIZYLAaNRoNYLAaXy4W+vj74/X4AgMPh4EE+k8ng2LFjOHz4MDweD1/u2dPTg2PHjmHK\\\n",
       "lCkwGAzwer3o6OjA0NAQIpFI1tJSNptytOpmPB6Hz+fjleKJdpUlFAgJIZMHBUJCznNdXV3YvHkz\\\n",
       "enp6EIlEUFBQgFmzZmHRokXjDs4m54dAIMCXSRoMBlgslqwKH2uYkvvnaLPxWMOSWCzGG72wvWwn\\\n",
       "+vArk8n4UtXZs2dDoVBArVaPuuxUIpFAqVTy6iGbpZiLBc2SkhJ4vV7k5+fzpbAGg4FXvywWC8rK\\\n",
       "yviYDKVSCZVKxffZCYLA9+2VlJTwJavpdBo9PT3YuHEjWlpakJeXl9UBlFXMUqkUPB4PnE4nr7Kx\\\n",
       "+x1rcL1UKuXvS1VVFbq6uuD1evnSUHETmKGhIR4CWTMaNk9SEAR0d3djeHiYL5uVSCR85qDP54NW\\\n",
       "q0UwGITH40E0GkUqleKvH6sSioMr+ztbajo8PMz3N55MZZhQ0COETA4UCAk5T7388st48sknsXPn\\\n",
       "ThQVFaGkpAQajQYejwcdHR1Qq9W4+eab8eMf/xiVlZVn+3TJKaqvr4dOp0NTUxNmz56NvLw8HuLE\\\n",
       "A9DZ3jQWGjUaDYBPPtCyJi/9/f04ePAgIpEIamtrUVVVxYfLs2rTeBU/ceOVsT4si8Mm+36ssRQs\\\n",
       "zNlsNlRVVaGyshIGgyEraLKKnPgXHLljIdj1xcXFfI4hayBz4MABDA0NQavVIhqNwm63w+l08rER\\\n",
       "AJBKpbLCNAuDLOBpNBqo1eqs8RmsIltVVYWmpiZ4PB50dXUhFovB6XTC4XDA7Xbzxj/JZBIAsv5M\\\n",
       "p9N8OSmr8rEKLgvxcrkc0WiUny87hu1pFBNXNuPxOFwuF5LJJAKBAPLy8sbsokpGogohIWSyoEBI\\\n",
       "yHlo1qxZUCqVuP322/G3v/0N5eXlWdfH43Fs27YNr776KubOnYunn34a119//Vk6W3I6Fi1aBI1G\\\n",
       "g+rqalit1hHLQZPJJIaHh3H48GH4fD4UFRWhvr4ehYWFvDLHjnM6nXjnnXewfv16RCIRNDc3Y/ny\\\n",
       "5WhubuYz7dioirH2/U3UePMNxdVKtsQyHo8jnU6PW62cyNJWNnuRhULWFTSRSPAB76wrKAuNLMAW\\\n",
       "Fhby0RgsEDocDl55t1qtUKvVo1Y7WeUxFArxCiAbTB8Oh/l8ReCTkRzBYBDJZBKxWIwHQPbY4veY\\\n",
       "nWfuck8WhDUaDe++Ku7KCoCfg1QqRSqVokBICCFkBAqEhJyHfvWrX2HFihVjXq9SqXDRRRfhoosu\\\n",
       "wr//+7+ju7v7szs58qlqaGiAQqFAXl4eVCoVv5x96I/H4xgcHMT+/fvhdDpRXFwMrVbLq2zA8QAS\\\n",
       "Dodx4MABvPHGG2htbeXNTtjSz9raWpjNZqjVal4tBE6v8iFevsjOmf2ZyWSQSqUQDofhcrkwODgI\\\n",
       "o9HIl1FOZG+jGAtw4XCYVxQBQKvVori4GAqFIiu0iSttMpkMVqsV5eXlvKrJAt3hw4fhcDhQXV2N\\\n",
       "6dOn81AOgM+F7Ovrw65du3Do0CHY7Xbe4IUF3mQyycOg+FxjsRgSicSIZjDstZPJZFm/AMi9njXl\\\n",
       "KS0tRSAQQH9/P9LpNK96ssdKpVKIxWKQSCSIRqMTfk0nO6oQEkImCwqEhJyHxguDuaxWK6xW6xk8\\\n",
       "G3ImabVaXuVixHvcWLWJzeBj+82SySQPVizcDAwM8EYqgiDA7/fzZY1syTGbsTdehe9kjBYKxUsy\\\n",
       "Y7EYvF4v3G53VuXuZIlnH4qHvet0uqwQB3yyH1DcNTQvLw8mkylr2WgymYTdbkdfXx8UCgXKyspg\\\n",
       "NBr5MclkEl6vF4cPH0ZbWxvsdjt/7cUD5sXPRzwKhB0z2mvGqn9KpZJXMdn5suvZLMbGxkY4HA74\\\n",
       "fD5Eo1H+eOJlpWwZKluuSk6MAiEhZLKgQEjI54TT6YTT6RzxYXrGjBln6YzIp0Gj0fAPm6zqxPbX\\\n",
       "seYteXl5KC4uRjweh06n42GGNShJJpPweDw4cuQI3G43EokEJBIJIpEIhoeH4XK54PP5+BJTcSA5\\\n",
       "3WAoXr44WhgcGBhAW1sbb8pSX1+PkpIS/tiMeMlk7jmxSmkwGER/fz8EQYBGo4FMJkNNTQ3vzCre\\\n",
       "Z5iXl8ebvOTn52PRokWw2Wy8UU0mk0EwGMSBAwfQ1dWFgYEB3s3TYrEglUqhu7sbb731FtatW4fe\\\n",
       "3t6sPYm5XUqB7IA2WvAWB1SNRgOLxQKTyYR4PM4rjeyXARqNBjNmzMCdd96JpqYmuN1uvPLKK1i3\\\n",
       "bh18Ph9vNqPVamE0GqHRaPjrRCaGAiEhZLKgQEjIeW7Xrl247bbb0NbWNqLToEQiGbUCQc4f4sYx\\\n",
       "sVgMyWQSSqUSwPFgpNFoUFVVBbVajaGhIUgkEr5/kAWvZDKJUCiESCQCqVTKQw+bpcdGVQDgx4vD\\\n",
       "yngfdnMDz2jnnlslY5Uqv9+PI0eO4NixY7Db7XC73Vi3bh1qa2vR0NAAtVoNiUSCVCrFu26yERPi\\\n",
       "Bi+pVAputxt2ux2dnZ3IZDLQarUwmUxobm5GbW0t9Ho9f74NDQ1oaWnhy0ZbWlpw4YUXZlX/WDfQ\\\n",
       "vr4+DA4Owu12Ix6Po6urC1qtFj09Pdi1axc6OjoQCoVGXfYpJg7ZWq0WBQUFMBgMCAaDvGrL9jzq\\\n",
       "dDoUFxejoqICer0eHo+HB+JEIgGFQoHq6mrccsstWL58OcxmM5LJJAwGAwRBwNatW3mDofLycpSV\\\n",
       "lUGtVsPv92N4eBgdHR0n+VM4OVEgJIRMFhQICTnP3XHHHZg6dSr+67/+C0VFRfTB5HOGzdlj4T63\\\n",
       "y6RCoYDZbIZOp0NFRQXvlskqbGwPWTqdhtlsRl5eHpLJJFQqFaZOnYp58+Zh6tSpyM/P50tG2W3E\\\n",
       "gXC0nytxxW+069PpNFKpFBKJBF/2yM6Jzec7evQoH9QeiUSwc+dO/Otf/8rqGBoKhdDf34/u7m5E\\\n",
       "IhEUFhaioqICVqsVcrkckUgEnZ2d6OvrQ19fHw+EJSUlaGxshM1m40tvJRIJqqurcemll0Kr1SKd\\\n",
       "TmPhwoWYMmVK1n491qE0HA7z5bjhcBiHDh1COByGx+Ph8wDFVdCx5j8CxwO8VqtFdXU1li5divr6\\\n",
       "ekSjUezbtw8HDx6E3++HRqNBRUUF6uvrYbPZIJVK4XQ6YTKZ0Nvbi2g0CqvViksvvRRLlizhXWeV\\\n",
       "SiWmTZuGr3/967DZbPB6vaisrERTUxNKSkqgUCgQiUTgdrvxr3/961P/Of08okBICJksKBAScp7r\\\n",
       "7OzE3/72N9TW1p7tUyFngMlk4uFCpVJlLRcVL0GUyWRQqVS8kiTeX8i6dxYXF6O+vh5msxmlpaVY\\\n",
       "vHgxFi1axCtIbEkka0KSyWRG7ENjxF1CAWR19wQ+6bo5PDwMp9MJQRBgNBphNBohl8sRDAbR3d2N\\\n",
       "np4ePn8vk8nA6/Xi448/htVqRX19PWQyGW+a09HRgUgkgry8PNTX16OmpgZGoxGhUAjt7e1wOByw\\\n",
       "2+1Ip9M8ILNmOUqlkgfSvLw8NDc3QyaTIZFIoK6uLmtpLnvtEolE1h5MNrcwGo3yfYK5QZC9XqN1\\\n",
       "DZVKpcjPz8cXvvAFXHfddSgpKYFMJkMwGERvby+6uroQjUZhMpl4gx/WEKi2thYOhwOJRAIlJSWY\\\n",
       "OXMmCgsL+WvOlsnW19dDpVIhHo+juLgYhYWFfEYje18+D8PpV69ejfb29jP6GBQICSGTBQVCQs5z\\\n",
       "l156Kfbt20eB8HMqLy+Pf4CXyWQ82OTKreSxJZqs2gccH/A+depUVFRUoKWlBS0tLSgtLeX77VgI\\\n",
       "YpUxuVyOTCYDg8GQdd9sj6LH48Hg4CDfh8eCFwBEIhF0d3dj06ZNOHDgAARBQG1tLZqampCfnw+/\\\n",
       "348DBw7A5XJlDX+XSCTw+/3Yt28fBgYGEI1GMTAwgL6+Pvj9fgCAx+NBPB5HIBCAVquF1+tFd3c3\\\n",
       "/H4/PB4PBEFAYWEh6uvrUVFRkVUdZPvvioqKEIvFEA6H+WxF8XgHVlVl8xTZHj42yD43DLL3hoU4\\\n",
       "cWhkZDIZysrKcMkll6C6upqHUKPRiIKCAkybNg3BYBDxeHxE0KyqquJ7Qtm+QDaXUfxLALVajbKy\\\n",
       "MsjlchgMhqznTgghhIyGAiEh57nnn38et912Gw4ePIimpqasbooAcPXVV5+lMyOfBp1OByC7yjRa\\\n",
       "IGTE+0fF1apkMsnDR35+Pmpra3n1SPwzk8lk4Pf7eXMWNopBq9XyUMFGVrzzzjt4//33IQgCZs2a\\\n",
       "hYULF6KkpAQA0N/fj7feegtvvfUWBgcHkclkkJeXh+nTp6OhoQGpVAoHDx5EIBAAAD5Pz2q1wmAw\\\n",
       "wOfzob+/Hw6HgwdAAFCr1dDpdEilUgiFQvD7/ejr60Nvby8ikQgSiQR0Oh0sFgumTZvGl1SKXzO5\\\n",
       "XA6dTof8/HwoFAooFAqkUin+GrFAKJFIYLFYMDw8zCunuQ1gWGOfwsJCNDc3o6amBi6XC9u2bcPg\\\n",
       "4CBvBMMet7q6GpWVlbwiy+5HpVLxUBmJRHjVlF2mVCqhUChGzIlklVpWrU2lUlCr1dBoNDzoj/fz\\\n",
       "QsZGFUJCyGRBgZCQ89y2bdvw4YcfjroviJrKnP9yAz4z3gdQ8Z41FngSiQTcbjdcLhdftqlUKrP2\\\n",
       "GgJAIBDAtm3bsHnzZqRSKcyZMwcrVqzgIUYQBITDYaxbtw6rVq1Cf38/AODdd9/F0qVLcdlll0Gt\\\n",
       "VmPbtm1Yt24d+vv7+dJLr9cLu92O1tZWGI1G+P1+xONx3kiloqICTU1NsFgs6O3tRWdnJ4aGhviy\\\n",
       "VJVKBa1Wi8LCQlRVVcFkMvHQ6HA4+EgFjUaDqVOnYtq0adDpdCOWu8pkMqjVapjNZr5nki0LZdW2\\\n",
       "ZDIJjUaD5uZmKJVKDA4OwuFw8JCQSqWgUChQXFyMr3zlK7j++utRWVkJpVKJUCiEN954A48//jgG\\\n",
       "Bwf5kt28vDwsW7YM+fn5I86J7ftkFUa2NJVdptFosrrAisdssLEdsViMvz6fRofYyY4CISFksqBA\\\n",
       "SMh57nvf+x5uueUWPPzwwygqKjrbp0M+Zaf6QVO8t5At42RLPIPBIJ9FKD4+k8nA5XJh06ZN2L59\\\n",
       "OwAgFouhtrYWRUVFPJyGw2Hs2bMHDoeDL2/0eDw4cOAA8vPzYTQacfjwYXg8nqxlk+l0GvF4HKFQ\\\n",
       "iM/XY+epVCphMplQXFwMg8HA98slk0lemctkMnwYe3l5OXQ6HQKBAL+ONa5Rq9WorKyEwWAYNRSx\\\n",
       "CqpCoeDjGNj+SRa04vE4JBIJSkpKkEqloNVqeWdTr9cLQRBQVlaG66+/Hl/+8pezXh+VSoWLL74Y\\\n",
       "b775Jh/zoVKp0NDQwAPmaO8rey1Ykxjx3kp2fe7S3UQigcHBQRw9ehTJZBIlJSUwGo1Zy0hP5+do\\\n",
       "MqNASAiZLCgQEnKec7vd+OEPf0hhcJIb64M/+1AbCoXQ1dWFjo4OaDQauFyuEd1BM5kMenp6sHv3\\\n",
       "bgwODvKAcujQIcycORNarRYAEI1GYbfbefdQ4PjoB7/fD7vdjmg0Co/HwyuDYjKZDAaDASaTiQcw\\\n",
       "tqSVNbJhIyMUCkVWqGEB0mQyoaioCDqdDsFgMGvvokwm411IWUBjz1PcbIfN6WNVz0wmw5vpxONx\\\n",
       "RCIRRCIRaLVaFBcXQ6vVQq/XQ6fTwe/3w2QyYfny5VixYgVsNhtv9sNe85KSEnz1q19FZ2cn7HY7\\\n",
       "CgsLcc011/D9fWNhlUKNRoNkMsmXsYrfT7FEIgGPx4P+/n6kUinodDokEgkeJHND5MmEnMmOAiEh\\\n",
       "ZLKgQEjIee7LX/4yNm7ciJqamrN9KuQsEY9/YPvFxB9QE4kE2tvb0draCrvdDoVCge7ubt6kRByW\\\n",
       "2NLIaDQKiUQCt9uNvr4+PgOQVeNYoxox9tjiihbD9trZbDbMmjULGo0G+/bt4yEslUrB4XDA6/Wi\\\n",
       "qqoK5eXlsNlsGBoa4qMd2ONKpVLo9XpYrVak02lMnToVLpcL4XAYSqUSU6dORWFhYdZMQfbF5iyy\\\n",
       "qiMLnYlEgocrt9udNVvQaDRCp9PBbDajqKgImUwGVVVVmDdvHl+emftcWZUwGAxiz549mDp1Ki69\\\n",
       "9FLo9foxl3Kyy1hVV6fTIZlM8uWf7LmIK4Tse7lczvdGqlSqrE6n4iAMgDfRIeOjQEgImSwoEBJy\\\n",
       "nps6dSoefPBBbNmyBc3NzSP2nH3/+98/S2dGPg3iLpWM+MMnCzksvMjlct5Vku2Fs9vt+Oijj9Df\\\n",
       "349IJAKZTIaOjg4e6sR7DuPxOK/sibtt5u7B0+l0WUFFqVTCYrGgqKgIKpUKer0eSqUSsViMB6+y\\\n",
       "sjJce+21mD9/PgYHB3Ho0CHE43Ee0FgY0+v1sNlsPIyyUJjJZBCJRBAIBCCVSmEymaDRaHDBBRcg\\\n",
       "nU7D7XZDoVCgpaUFBoMBAPi5s9eCBT92TuIQ6/P5cPjwYXR2dvLB7hUVFTAYDFCpVADAu5aWlpai\\\n",
       "sLAwa3ahmEwmg9VqxZe//GVcfPHF0Gg0sFgs41YHxe8v2zvIzlHcKVRcNVUoFMjLy0NtbS00Gg2q\\\n",
       "qqpgsVj4stRkMolwOAyfzwev14tQKITLLrvshOdACCFk8qBASMh57vnnn4der8cHH3yADz74IOs6\\\n",
       "iURCgfA8NzQ0xANCbqdJ4JMB6sFgkC8ZZGGNdQzds2cPWltb+SD1TCbDQ5aYVCrljUuA4z8/bEC8\\\n",
       "RqPhl8vlcj4nL5FI8PDT0NCAqVOnIpPJ8Ll6LBAWFRXhuuuuw3XXXQez2QyNRgMAWYGTNUjR6XSo\\\n",
       "rq6GWq1GT08P1q9fj2AwCEEQEIlEMDQ0hGg0yhvDqFQqGAwGeL1epFIp1NXV8aWgbOkk27sYCASQ\\\n",
       "yWSg0+lgNBp5Q51YLIbu7m5s2bIFx44dg0wmQ1VVFSorK6HT6XjAZZU7tkx1vMqQTCaD2Wzm4ZR1\\\n",
       "/DxRNUm8l5BVH3M7hYoDoc1mg8VigV6v56+HVCrl+yo9Hg/27t2LAwcOYGhoiALhBFGFkBAyWVAg\\\n",
       "JOQ819XVdcYf4//9v/+H3/72t7Db7Zg5cyb+7//9v5g/f/6Yx7/22mt4+OGH0d3djbq6Ovz617/G\\\n",
       "F7/4RX69IAh45JFH8Nxzz8Hn8+GCCy7An/70J9TV1Z30uZ1oyPbrr7+Om2+++aTv91xx9dVXQ6lU\\\n",
       "8kHtM2bMwJQpU3iHzFQqBZ/Px5vFsCqdTqdDOp1GX18fdu7cCY/HkzWbkA1ZF1eb2J4+1n1ULpej\\\n",
       "tLQUjY2NfLg5W6JoMBhgMBiQTqeh1WrR1NSERYsWYdq0aQiFQujs7ITBYEA0GoVSqURLSwuuuOIK\\\n",
       "VFZW8o6b4u6mrIIXCAQgl8thsVhgMBhw1VVXoa2tDe3t7UilUkgkEnA4HHC73ZBKpbzZi0ajQTQa\\\n",
       "RTQahcFggFwu55XTWCwGj8eDgYEBuN1uqFQqlJWV8UCXTqfhcrmwY8cOfPTRR3C5XLyrp1wuh1ar\\\n",
       "hVarhUql4o81VmVQjM0nPJWwwG4r/p4RLwOVy+UwmUy8mY54TiW7j0Qigf7+fhw5cgSDg4MnfS6T\\\n",
       "1echEPp8PhQUFPAOvIQQMhoKhIR8Tg0NDeGll17CAw88cFr3s2bNGtx///145plnsGDBAjzxxBNY\\\n",
       "sWIFjhw5gsLCwhHHb926FTfddBNWrVqFK6+8EqtXr8a1116L3bt3o6mpCQDwm9/8Bn/84x/x3//9\\\n",
       "36iqqsLDDz+MFStW4NChQ3zYNjlu3bp1vEJoMpnQ3NyMlStXYuHChcjPz88a5+ByueB0OnkwTKVS\\\n",
       "PEyJG7ywKpXP50M8HodSqUQ6nYbT6URXVxcUCgWvus2YMQNVVVVZDVrS6TTkcjmvsFVUVGDJkiVo\\\n",
       "aWmB1WqFz+eDzWaDXq+H3++HXq9HbW0tiouLoVKpIAgCHyEhXgaZyWQQCoWQTqehVCqh1WoxY8YM\\\n",
       "zJw5E319fQiHw8hkMvB6vXxoPVseaTKZoNVqEYvFeNBky0Pdbjfa29tx9OhRBAIBFBQUQK1Ww2Aw\\\n",
       "8KrjoUOHsHXrVvT29iIWiyEajWJ4eJjv52MBWTzX70S/jGDYklUmt5nPaMePd31ud1g2WoSFQfES\\\n",
       "YLavUFyRJRPzeQiEZrOZ3nNCyAlRICTkPHfHHXeMenlPTw8+/vjj0w6Ev//973HXXXfhG9/4BgDg\\\n",
       "mWeewZtvvokXXngBP/nJT0Yc/+STT+KKK67Aj370IwDAL37xC6xfvx5PPfUUnnnmGQiCgCeeeAIP\\\n",
       "PfQQrrnmGgDAX/7yFxQVFWHt2rX46le/elrn+3nDZvAlEgnE43Hs2LEDmUwGSqUSM2fOhEaj4YPM\\\n",
       "/X4/vF4vwuEwjEYjYrEY9u/fz2fhiZuWpFIptLa28vDndDqxadMmbN26FclkEmq1GkVFRZg6dWrW\\\n",
       "0ko2kkEQBOj1ehgMBsyePRtz5sxBaWkp32uXn58PrVbLl7rq9fqsqppSqUR+fj7kcjnf08eWbor3\\\n",
       "Hebl5aGhoQEbN27kozIikQja29vR19fHG74AnwQg1rU0Ho8jEAigq6sLe/fuRUdHB19GWVpailAo\\\n",
       "hEQigb6+PmzZsgXt7e0IhUK8GYvf7+dzPMXLT3OH1IsHxecSV/OY0wkZ4jDJzlMqlY56DuwXCRaL\\\n",
       "BTU1NTh27BjC4fCEHpt8PgIhI5PJaCYtIWRMFAgJOc95vd6s79PpNDo7O9HW1oann376tO47kUhg\\\n",
       "165dePDBB/llUqkUy5cvx7Zt20a9zbZt23D//fdnXbZixQqsXbsWwPElrna7HcuXL+fXm0wmLFiw\\\n",
       "ANu2baNAOAYWSILBINra2rBt2zZoNBoUFhYiHA7zofORSAR2ux1yuRx+vx9HjhyB2+3mHwZZaPL5\\\n",
       "fHjzzTfx7rvvwu12Y3BwEG63G9FolO+xM5lMvIrGhqunUilEIhEAQEFBAfLz87FgwQJUV1fDZDLx\\\n",
       "Rias4Yt4iLo4FKnVakyZMgU6nY6PmwDAl4WKZwWyaiN7HvF4HEePHsWHH37Im9WwyjILfOl0GrFY\\\n",
       "DIODgzhw4ADfP6dUKqFSqeByuaDX65FMJrFz505s376d70Fkjx0KhRCJRPg+ydwOn6lUCnK5PGtf\\\n",
       "Z+6cQFb5FHdeZUtBx+s0OhZxtZGdA3tPR8MaAE2dOhVutztrGSoZ3+cpELIRJAD4km+/33+Wz4oQ\\\n",
       "cq6gQEjIee4f//jHqJf/+7//O9auXYtvfetbp3zfw8PDSKfTI2YcFhUV4fDhw6Pexm63j3q83W7n\\\n",
       "17PLxjpmNPF4HPF4nH8fCAQm/kQ+J1i4CIfD6OvrQ09PDzKZDGKxGIaHh+H1ehGJRHho8Hq9cLvd\\\n",
       "vKInnkkXDofR2dmJWCwGn8+HcDjMwxALDXK5nIcOFmpSqRSSySQUCgXMZjNKS0tRXFwMnU7HRzjI\\\n",
       "5XK+/46NP2AD6sXNUKxWK7RaLR/0nlv5YpexECdulBIMBtHR0YHy8nLe4ZQt52TnHIlE4Ha7MTQ0\\\n",
       "BJfLhWAwCKVSCb/fj+HhYWi1WoRCIXR0dMDj8fDnz17rZDLJAyELXDKZjL8+qVSKV15Ywx9x4GLv\\\n",
       "Vzqd5oF8oo1lxpO7zHa0KqQYW95bUVEx4hdI5POP/Vz89a9/xU9+8hP09PRMyv9/EkLGRoGQkM+p\\\n",
       "m266CY8//vjZPo1PzapVq/Doo49mXfbII4+cpbM5e1ggPHjwIMLhMGw2G1/eKA51yWQSwWAQgUAg\\\n",
       "qwLHwggLSvF4PCsIsetZ8IlEIvD7/bx7JQuXRUVFMBqNaGxsRHV1NQwGQ1Y4MhgMfOYeO2dW+WMN\\\n",
       "UOrr61FbW8srk2y/HgtRLOSo1Wro9XreRCedTsPj8WDXrl0IBoMYHBzE9OnTYTQaYTQaIZPJEI/H\\\n",
       "YbfbcfDgQezfvx99fX2IRqNQKBQ8LO7fvx9erxcdHR28+sheB9a9tbOzEyaTCSaTiXcbZXuy2C8p\\\n",
       "ZDIZTCYTzGYztFot32/JgnAsFkMymYRMJoNGo+GV008jFLL3ju0jzA2b4v2njY2NKCgoOOXHnIzO\\\n",
       "9crfaCQSCUwmE3w+X9bly5cvx7Fjx87OSRFCzmkUCAn5nNq3bx9mzZp1WveRn58PmUwGh8ORdbnD\\\n",
       "4YDNZhv1Njabbdzj2Z8OhwPFxcVZx7S0tIx5Lg8++GDWUtRAIIDnn3/+pJ7P5wELe6wa2N7ezqtw\\\n",
       "ALKqbMlkMqsyJw4h4XAYyWQyKwSx6+RyOfR6Pa+g2e12voQUAFQqFaqqqqBUKlFZWQmj0cj3B7IK\\\n",
       "o06ng9VqhV6v54+dTCazqn4VFRWYP38+enp6YLfbIZFIoNFo+LxAVplUKBQwGo1QKpU8VMbjcbhc\\\n",
       "LiQSCYTDYYRCIRQVFfExEdFoFMeOHcP+/fvR09MDn8/Hl1dGo1E4nU4Ax0NdLBbjjyV+nWOxGF9K\\\n",
       "mp+fj6KiIpSVlfEOqV6vFy6XC7FYDCaTCeXl5SgpKeGhlHVN9Xg8iEaj0Gq1KC4uRkFBwYglqKeK\\\n",
       "vc+sWc9o2OttNptpKP1JOJ+XjM6YMQPA8V8MvvLKKwCO//88d+k2IYQAFAgJOe/l7tcDjoer119/\\\n",
       "HStXrsy6/ve///1J3bdSqcScOXOwYcMGXHvttQCOfwDdsGEDvvvd7456m0WLFmHDhg247777+GXr\\\n",
       "16/HokWLAABVVVWw2WzYsGEDD4CBQADbt2/HPffcM+a5qFQq3rBkshMPjI9Go/zy3A+w4oAjrvqJ\\\n",
       "b5/74ZDNzistLYXVakUsFkNvby+USiUA8HETbEmoTqfjVSnxskWVSoWSkhIUFxcjkUjAaDTyY8TN\\\n",
       "TmbPno3W1lY+oF6tViMYDCIUCkGtViOVSmUFQraPke0lZMtNBUFAYWEhQqEQLBYLwuEwWltbcezY\\\n",
       "MXi9Xl7ZBD5p1DPeckvWpfTAgQPo6uqCXq+HzWZDY2Mj6uvr+dzD3t5eeDweKBQKlJaWoq6uDmVl\\\n",
       "ZdBqtYjH43A4HOju7obL5YJSqURzczMWLFiQNe8x93HF79loxEt/xUtSxcF/tNuwTqlkYs7nQMhG\\\n",
       "+Lz66quIRCJ4/fXXMWfOHHz88cdn+cwIIeci+peBkPPcnj17Rr183rx5cDqdvBJyqh9Y7r//ftx2\\\n",
       "222YO3cu5s+fjyeeeALhcJh3Hb311ltRWlqKVatWAQB+8IMfYNmyZfjd736HlStX4tVXX8XOnTvx\\\n",
       "7LPP8vO477778Pjjj6Ouro6PnSgpKeGhk3yCBTgAI4LLePvGGDbUnO3rY1U2cVhkx8lkMhiNRtTW\\\n",
       "1qKxsRE6nQ6RSATd3d0AwLuK6nQ6qNVq3m1TfH/se4lEgsLCQtTU1CCZTKKkpCRrdIVUKoVGo0FF\\\n",
       "RQWmT5+OwcFBeL1eSCQSOBwODA8PQ6PR8GY2RqMRGo0GgUAgKwgJggCfz4eOjg44HA74fD7k5eXx\\\n",
       "WYgOh4MvmR0t9I0nk8kgEAggFApBKpXCbrdjeHgYoVAIFRUVCIfD6OnpgdPpRCqVQl9fHxwOB2pr\\\n",
       "a1FYWIhMJoPBwUG0traiq6sL8Xgcra2tAIDLLruMN+ERPx77Yp1DRwuN4vcMAA+DJ3KuhZZz3fkc\\\n",
       "CF999VUsXLgQwCezaqurqykQEkJGRYGQkPPcxo0bz+j933jjjXC5XPjZz34Gu92OlpYWrFu3jjeF\\\n",
       "6e3tzfrQunjxYqxevRoPPfQQfvrTn6Kurg5r167lMwgB4IEHHkA4HMbdd98Nn8+HCy+8EOvWrTul\\\n",
       "GYQn+iB2zTXXYM2aNSd9v+cKm82GVCqFeDzOg1fu0saxsA+0rMJmtVohlUrhdrtHjB9gyzWrqqow\\\n",
       "e/ZslJWVIRgMwul0IhAIIJPJoKKiAhUVFbzKxLqbsuHtCoWCN7mJRCLQarUoKyvj4VBcnRKfV2lp\\\n",
       "KcxmM0KhEFKpFIaHh+F0OmGxWPjsP7PZDIPBAJ/PxwOQ+CuVSiEQCMDv90OtViORSCAQCCAajZ7y\\\n",
       "MjnWHZWN7Ein0xgYGIDJZIJKpUIymYTb7eah0+l0wuPxwOv1orKyEmq1GoODg+jo6EBvby8ikQgG\\\n",
       "BgYQj8dRWlqK2bNnQ6VS8cppMpnknU3Za6NSqcbsDCqubk7klwPk5JyvgVAulyMSieDuu+8GABw4\\\n",
       "cAAA8Pe///1snhYh5BxGgZAQckLf/e53x1wi+v7774+47Prrr8f1118/5v1JJBI89thjeOyxxz6t\\\n",
       "U/zcuuqqqxAOhzE4OIiBgQF4vV6+5220MCDeD8j2jlksFkybNg3V1dUIh8M4cOAAb6IiPq60tBQL\\\n",
       "FixAfX09bzzj8/kwPDyMVCrFgw9bDtnf34/W1lYEAgGYTCbk5eVBq9XyOYeJRAJ6vZ4vVU2lUnxU\\\n",
       "gzissgY0SqUSEokE8XgcoVAIsVgMGo0GSqUSxcXFKC0thd/v53sfgewxE2xWo7iCOFpl8FSwjp7x\\\n",
       "eBzRaJRXOZPJJMLhMB/FEY1GEYvFEAgEYDQa4fF44HA4EAgEkEgkEI1GsX37dvzXf/0XTCYTqqqq\\\n",
       "eLMcr9eLo0ePor+/H3q9Ho2NjSgvL4dGo8n6pcto4yzIp+98DYTJZJLvo121ahV+8pOfnFPnRwg5\\\n",
       "91AgJOQ8dMUVV+DnP/85XxI0lmAwiKeffhp6vR733nvvZ3R25NN05ZVXIhqNYmhoCIcPH8bRo0cx\\\n",
       "ODiIQCDAgxELBuJgKO4uOW3aNFxwwQWorKzkIa+jo4OHKrlcjoKCAixcuBAzZ86EVqvlAdTpdMLr\\\n",
       "9SKRSKCjowM1NTU8vGzduhVbt26F2+3mwbOwsBBWqxUGg4F39GSVNqVSyfcOKpVKXrlTq9WwWq3w\\\n",
       "eDyQyWS8Oym7XqlUwmazYdq0aQiFQlnPG8heOjvaZadCPNqBYX/X6XQoLS2FRCLBwMAAAPB9jezP\\\n",
       "RCIBg8GAWCyW1cAHOL5nllXEb7zxRhQXFyMej6OzsxO7du1CX18fDAYD4vE4dDodCgsLedMedh6s\\\n",
       "KkrDxsloxCsAbrzxRjQ2NiKdTqOnp+csnhUh5FxFgZCQ89D111+Pr3zlKzCZTLjqqqswd+5clJSU\\\n",
       "QK1Ww+v14tChQ9iyZQveeustrFy5Er/97W/P9imTU1RYWIhUKsX37hkMBhiNRjgcjqwxE7mVQrZH\\\n",
       "z2azoaWlBY2NjXzuX2lpKTQaDQ9PJpMJM2bMwOzZs2E0Gvm4BjbUPhaLIR6PY//+/Tw89vb2YseO\\\n",
       "Hejp6UEsFoNMJoNareZLU/Pz86FWq3kgkslkOHDgABYsWICZM2eioKCAV9i0Wi0qKir4OIfCwkIo\\\n",
       "lUo+85C10a+urkYkEkEymeRhSFwB/LSWTYpHN4gDFwvZJSUlaGpqgkqlQiAQQGdnJ19Wm8lkEAqF\\\n",
       "eMMfiUTCnxc7x1QqBbfbjTfeeANutxvz5s2DWq2G3W5HZ2cnfD4fIpEIBgcH4fP5smYsAsiaB8ma\\\n",
       "yOTOJKSK0Ok7XyuEuaZMmcIr2IQQMhoKhISch+68807ccssteO2117BmzRo8++yz8Pv9AI5/MGls\\\n",
       "bMSKFSuwY8cONDQ0nOWzJacjHo8jk8nwhi8lJSVIpVLQaDQIh8N8zINcLs9aViiVSqFSqZCfn4+y\\\n",
       "sjIYDAZoNBro9Xrk5+dDr9cjnU5DJpOhqKgINTU10Gg0sNvt2L59O/bu3Qu3280DZzwex7Fjx/hI\\\n",
       "Ea/Xi0AgwLt3stl/8XgckUgEHo8HABAKhXhwValU2LdvH5YuXYqFCxeiuLiYz+arqqriAdJoNEIQ\\\n",
       "BH47FlwtFgtqamoQi8X4bD82duHT2j8nlUqhVCqhUqmQTqcRiUSylmXKZDIUFxejqqoKBoMByWQS\\\n",
       "+/fvh9PpHLHHk+3LzH1vAPBQuGvXLiSTSZSWlvLXWq1WQ6fT8VESLOiJG/ewiiNrGsReB5lMNuo8\\\n",
       "QnLyPi+BkBBCToQCISHnKZVKhVtuuQW33HILAMDv9yMajcJqtfJujuT819PTwz/cp9NpqFQqWK1W\\\n",
       "yGQyJBIJXpljIQD4ZGmjTCaDVqvls+dYoNBqtTAYDHw/n8lkQiaTQXd3N44ePYqdO3fyfYOs+yhb\\\n",
       "BskuZyGM7aUT79uLRqOIRqN8v524khUIBOB0OtHZ2YmFCxeiuroaer0eZrMZmUwGfr8f6XSa75VU\\\n",
       "KpWQyWS8CmY2m1FeXg6PxwOfz4doNMqD1ESJP7znjnlQKpUoLCxEUVERwuEwOjo6sgInex5arRZG\\\n",
       "oxF1dXWYPn06Dhw4wAO6eKyHUqnk4zPYklJ2P+l0GuFwGMFgEIIgwGQyQavVAgAKCgpQWVkJvV7P\\\n",
       "X1v2GrDXn10GgM88jMfj0Gq1UKvVfK8mOTUUCAkhkwUFQkI+J0wmEx8cTj4/PvjgAygUCuj1euj1\\\n",
       "eh72WchTq9XQarVZ3SrF++tYdSoWi0EikSAUCiEej/Ogwjp/Dg0Nob29HUePHoXD4eAD4FkYA44v\\\n",
       "nxxrmD2rrLHzi8ViPAyKl3WyUQzRaBQejweLFy9GfX09D02RSAQ+nw/JZJLfJwu1Go0GAKDRaHjF\\\n",
       "U3x+42Ef7lmDGxawxWFSLpcjLy+PL2v1er1YvXo1D8HA8RmGvb29CAaDsFgsfLkrO7fcvYwGgwEm\\\n",
       "k4kvj2UVRHY+rENrfn4+8vPzoVKpoNVqUVBQwCu7UqmUVwjZ/EV2X+wxI5EIn9+o0+lQWVmJ/Pz8\\\n",
       "rL2H5ORQICSETBYUCAkh5Bz2+uuv8/2AFosFRUVFKCwshMFg4OMV2HJMNnhcoVDwrp6RSAR+vx+D\\\n",
       "g4NIp9NwOBw4fPgwDzlKpRJ+vx+hUAjDw8MYHh7my0BZwAQwYvYfu56FGoPBwJvFBAIBRCIRvtxT\\\n",
       "XIVjnTqdTieCwSD6+/sxffp0vhR2eHgYHo+HN49RKpWwWq0oLS1FSUkJDAYDwuEwXzLKzkO8JDP3\\\n",
       "w3lut9Xp06dDrVajo6MDe/fuhdPpRDqdhslkwiWXXILbbrsNtbW1AI6HxL/85S9wuVz83D/88EO8\\\n",
       "+uqruOaaa3gHUK1Wm/W47HUpLi5GbW0tbDYbAGBwcJDPaWTvaUFBAaxWK8rKynhTHqPRCK1WywM7\\\n",
       "q7ay5y6eVZhOpzE8PIz9+/dj586diMViWLhwIa6++mqUlZXxUMjeNxpOPzFnOhDefffdeO6557Iu\\\n",
       "q6+vx+HDh0/6vggh5HTQvwqEEHIOCwaDkEgkiEQi/CscDsNkMkGhUGQ1kVEqlTAYDLzLJ7s9C3x+\\\n",
       "vx9DQ0Ow2+18zymbpyeRSBAMBkddfpm7FFWM7QG0WCywWq3IZDJ86eRYWLUrGo1icHAQyWQSg4OD\\\n",
       "kMvlCIVCCAaDfH4guwwAlEolAPBZfey8WdVPKpVCoVBApVLxoJRKpSCVSmE2mzFnzhxcffXVmDFj\\\n",
       "BjQaDVwuFz744AOsW7cOdrsdFouFj3rIy8uDXC7Htddei127duHDDz/k+zl9Ph/ee+89mM1m1NfX\\\n",
       "81EcrKsqe81Y5a+0tBQqlQp2ux2hUAihUIgvO1Wr1YjH4/B6vTCbzbBYLFmveSaTQSKRgM/nw8DA\\\n",
       "AOx2OxKJBF+yqtfrIQgCvF4vhoaGMDAwgFgshvb2dgwMDMBsNvPqayAQgNvtxqxZs07th5F8av74\\\n",
       "xz/yMFhbW4sZM2bg/fff57+IIISQzxIFQkIIOYexxiGsEhYKhaBQKBAOh3kDF/HyToPBgOLiYpSV\\\n",
       "lUGn0yEUCsHhcPDKm9/v53MMgeN7z9jsPvFoBCa3SsLOhVWn2MgIm80GjUbDu22eCAuFbKB7OBzm\\\n",
       "gSqRSPAlkayapdfrkZeXB7VajUgkgng8DgBQKBR82SXroFpQUAAAcLvd8Hg8SKfTKCsrw5IlSzBv\\\n",
       "3jwUFxdDoVDAZrOhpKQEJSUl+OCDD5BKpVBQUMD3ZMrlctTW1uKyyy7Dvn37+OucTCYxMDCAPXv2\\\n",
       "wGAwQC6Xo6ioCD09PTxQazQaFBYWorKyEkVFRZBIJMjLy+PNfIDjy30zmQwPeW63G8PDw6itrUVZ\\\n",
       "WRmMRiMAYHh4GK2trdi1axf6+/shCAKsViumTJmCqqoqGI1G+Hw+xGIxyOVy6PV6GAwGCIKAYDAI\\\n",
       "j8eDo0eP4u2338bevXuxZcuW0/ypPPtuuOGGM94w60xWCH/wgx8AGP2XLIQQ8lmjQEgIIeeZZDLJ\\\n",
       "94yJm6pIJBL4fD4+1D0/Px+xWAxDQ0NwuVwIhUJIJBJ82ad4GSjwydgG8XLQ3Oogu0wikUCtViMv\\\n",
       "Lw+VlZWw2Wy8ksXOh+19yx0HMdoSUnH4Ey9NZWMb2JJJ9pVKpSCTyfgojunTp6OiogLNzc0wm82I\\\n",
       "RqPo7OzE0aNH4fP5UFJSgqqqKh4qZTIZ3/N48cUXQy6Xo729HTKZDMlkkj9XrVaLefPmobS0lM9+\\\n",
       "ZO8Bq94WFRVh+vTpGB4eRm9vL9LpNPLz8zF37lw0NTXBbDbzqp5KpeKPr9FokE6n4XK5YLfb0dbW\\\n",
       "Bp1Oh4KCApSXl/Nlpr29vWhtbUV/fz8fH6BWq/njTps2DWq1Gmq1GlOmTOHV0MLCQgiCgKGhIbz9\\\n",
       "9ttYt24dnE7nmfzR/Fz5LPYQim/HlnkTQshnjQIhIee52267DXfeeSeWLl16tk+FnEESiQQKhYIv\\\n",
       "TWTLJlnVShzw/H4/1Go1gONNULxeL28mkzu3D0BWRS+36yarBIobobClmXl5eZg2bRqam5v5bESn\\\n",
       "08mXcbKGNuK5eCzs5Q6QZ6GUBVAWOuVyOR8DIZfLs45VqVQ8DF599dUoLy/noyxCoRCsVivUajV6\\\n",
       "enpgsVhgMBigVCr5cwKOVxjz8/PR1NTEx1wEg0EkEgl+/jabDQ0NDeju7uZ795RKJUwmE6xWK0pK\\\n",
       "Svj9dnZ2QhAE1NTUYPHixaisrIQgCAiFQtBqtXz+o0ajgUajQSKR4JVbNrZCPPpCIpFkDbdn759U\\\n",
       "KoXf74fH44HX68W0adNgNpths9lQWVmJ+vp6WK1WXmEW/zKATMypBMLNmzdnXd7Y2Ij58+ePe9vm\\\n",
       "5mYcOnSId6VNJBKndsKEEHKKKBAScp7z+/1Yvnw5Kisr8Y1vfAO33XYbSktLz/ZpkU8ZmytoNBpH\\\n",
       "bfACfBKuUqkUotEogsEgDxMsbJxoiRr7YCuTyXjgksvlWY1MZDIZzGYzmpqacOmll6K+vh4ymQz/\\\n",
       "f3t3HhxneecJ/Nv3fXerW7csW7Z8YDsYbMxhCHgxExbCEZLKTCAENpNMILvBU1skNZuQqT2YJVOB\\\n",
       "CSFJbU0MWylIsjA5OeOxE2PAB75tbOu+pZa6pb7va/9wPQ/dbfkE2zL9/VSpbLXe7n7fV0rQ17/n\\\n",
       "+f0GBwcRCoUwPT2NXC4nl12K+YcqlQqxWAzT09NIJpMynIgAqdFo5HPEYwaDQTZc8Xq90Ol0FUsj\\\n",
       "vV4vrr/+elx11VWwWq0wGAwolUqyyYuYg6hSqU7qjCruq0ajgcfjgdvtxsTEBILBILxer+yYajAY\\\n",
       "sGzZMhw4cAB+vx9KpRJ1dXVoa2uD2+2G0+mE3W6H2+1GKpWCTqeDx+ORy0+z2Szi8TiampoQCASQ\\\n",
       "yWTg9XphMpkQCATk3MZMJiMrRIlEoiJEz9acRzQJEtexfPlyNDc3w+v1wmq1QqvVolAowGq1Yt68\\\n",
       "eWhpaYFSqUQikfjIP4+14HwC4aZNm7Bp06aKr51pP235a4gKNBHRxcRASHSZ+93vfodAIIBf/OIX\\\n",
       "+L//9//iiSeewPr16/Hwww/js5/9LGcSfoKI8CLCQfVSTEHs8xP7A8USzrPdryQqc2azGS6XS1aj\\\n",
       "RAjRarVwOp1YsGABOjo60NTUBODEwPT6+noMDQ0hnU6jUCjAbDbLvXo6nQ6Tk5Po7u6G3++XIVNU\\\n",
       "E3U6HXQ6nVzKqdVqYbVa4fV60dTUBLfbLattooImqmJms7miiiiqcCaTSVZdRCie7Xo1Go3c05dI\\\n",
       "JJBKpeTIB6VSCbfbDY/Hg0QiIT93Op3yfEWAVigU0Ol0ckyGaHZjtVrla5RKJbS0tMBkMkGv12Ni\\\n",
       "YqJiKedsS2yrq7qCWLoaDAblPkJRgRXPE/sl29raoFAoMDg4eFY/B7XufALhQw89hBtuuEE+vmTJ\\\n",
       "krN+P1GJJyK62BgIiT4BPB4PNm7ciI0bN2Lfvn14/vnncf/998NsNuNLX/oSvvGNb6Cjo+NSnyZ9\\\n",
       "BOXLMMv3AVYfU77vr3qp4WzKxzWIz7VaLerr63Hddddh8eLFSCaT+OCDDzAwMIB0Og2n04nVq1fj\\\n",
       "M5/5DBYvXiwbmDidTtnxs6+vD2q1GosWLcKnPvUptLW1QavVIhwO48CBA3j33XcxMDCAZDJZ0R1U\\\n",
       "zBwUAUqESYfDAbVajUgkAo1Gg1QqBaPRiHnz5qGtrQ0mkwlqtVpWArVardxfWCqVEA6H4ff7kUwm\\\n",
       "YTabTxpTIQJhNpvF+Pg4PB6PDJQqlQrz58/HunXrUFdXB4VCgfnz56O9vR0mkwk6nU7+KcJh+bJU\\\n",
       "lUoFt9uNJUuWQK/XyzmBRqMR09PTsNlsKBaL6O3tRTwerxjXcaq9l+LzQqGAeDyOwcFB2XVW/BzU\\\n",
       "1dVBpVKhWCxi4cKFcDqdSCQSJy1rpI/PDTfcgAcffPC8nsswSESXCgMh0SfIxMQENm/ejM2bN0Ol\\\n",
       "UuEzn/kMDh8+jCVLluCpp57CY489dqlPkT6CYrEoO2yeqvmEUqmUSy4zmQwymcys4VEcWx5cRGXQ\\\n",
       "5/Phrrvuwuc+9zn4fD6k02l0d3dj3759CIVC8Pl8uPrqq7F06VLY7XZZhdbpdFixYgUMBgOGhoZg\\\n",
       "NBqxcOFCNDY2wmQyySVxTU1NWLlyJcbGxhCNRpHNZuW5FotF2aymsbERPp8PdrsdWq1Wds20Wq1Q\\\n",
       "q9UIBAJobW2F3W6XYbC8qiMqjdFoFMPDw9BqtVi2bJkMruXVn1KpJDueZjIZOc+xtbUVSqVSBuT2\\\n",
       "9nYAgNPpRF1dHWw2G0wmkwyE1ecg5v6ZTCa0tLTAarXCarXC6XRCq9WipaUFTU1NmDdvHl577TUc\\\n",
       "OnQIwWBQdoIV1b5T7fMEIEdKDAwMIB6PY2hoCIcPH5bLRD0eD5xOJ5qamqDT6c73x6/mXMimMgsX\\\n",
       "LkR3dzeUSiVuu+02bN26FcCHo1WIiC4mBkKiy1wul8Mf/vAHPP/88/jTn/6E5cuX41vf+hb++q//\\\n",
       "Wrat/+1vf4uHHnqIgfAyVF7xy+VyCIfDyGQyFUPZq7uCiipZLpeT1aZTva4YZi+CodVqxapVq3D7\\\n",
       "7bdj0aJFchmlzWZDQ0MDIpEITCaTHBKv0WhkAxiFQgGHw4FFixbB5/PJYCeWTgKQ72cymdDW1oZc\\\n",
       "LodcLif3PCYSCRSLRVitVtTV1VV0BQUAi8Uiw9fQ0BDq6+vlcPjyX+DFfQCAqakpDAwMIBwOo729\\\n",
       "HY2NjTIUAh92OvX7/ejr60MkEkE4HEapVILVaoXJZILRaERLSwvcbjcAVFQzy8NgdcVVnItGo5F7\\\n",
       "HE0mU8U9MZlMsoK4fft2vPfee+jv70coFJKD6MtHccy2nFQ0w8lkMpiYmMCRI0fknMT169fj2muv\\\n",
       "lU126OxcyEDY1dUFm82GaDSKN954A8CJSrIYp0JEdDExEBJd5urr61EsFvHFL34Ru3fvxsqVK086\\\n",
       "5tOf/jTsdvtFPzf66ETFQPyyKMKgCITle8tEs5l0Oo1cLodsNjvroHngw2qgxWKB1WqF0WiE3W5H\\\n",
       "R0cHbr31VixcuBAGg0HuybPb7dDpdHJmoQhAs72mGJguGsSIsCbOUaVSybmB4tzF/EFxfWKkhMFg\\\n",
       "gEajkb+ci66jRqMRLpdLDqcv77QqKJVKxONxdHd3y+6fU1NTSCaTuPfee+F2u6FUKmUn1qmpKYRC\\\n",
       "IQQCAdn502AwoKOjAxaLRTa5EQ1+qsPgbKGgPKCK0RB6vV5WccX31uFwwGq1Yv78+Vi/fj26urow\\\n",
       "MjKCQCCAiYkJHD9+HD09PYhEIhXf9/JgDwCpVErulfT7/fD7/TCZTLjmmmtgMBhYgTpH5ztO4mxE\\\n",
       "IpEL9tpEROeCgZDoMvf000/jvvvuO+2//NvtdgwMDFzEs6KPS3loKhQKp636iWPKw+GpGsmUh7fy\\\n",
       "ZYtLlizBkiVLYDAY5GuKDxE8ykdFlFfEyt9fVByrx02Un1/518XxarVaht3ykFX+pwhkBoMB8Xgc\\\n",
       "sVgMJpOpIjiK90wkEohGo3KZ7fDwMH7729/KJaBms1neU7GsslQqyXDa19cHhUIhO4YCJ0ZVmM1m\\\n",
       "uU/xbCtJ4rhTBUcRlMUYi+bmZsTjcUxOTsJqtcrxIWK5sLgXer0eNptNjtsQS2+LxaKsvFbfbzqz\\\n",
       "izGHkIhoLmAgJLrM3X///Zf6FOgCam9vR6FQQCKRQCQSqegYOluTkTM1IimnUqlgtVrR1taG5cuX\\\n",
       "o7OzEy0tLXC5XLKSVCwW5WD4ZDIpB8KL1xVz7sqPUygUspImXqO8wY0Ic9VVxvI9jbM1VRHEL+rZ\\\n",
       "bBaDg4Pw+/0AAJvNJjuDApD3SqvVyipiJpPBwMAAtmzZAo/Hg3nz5smqY0dHBxQKBYaGhhAMBuW4\\\n",
       "iJGREcRiMej1ehmkHQ6HHFwvZhCeKhSIrqciQJ8upKtUKuj1erhcLphMJqTTaZjNZszMzGDfvn0Y\\\n",
       "Hx+X/yCgUqlgNpvlXsFkMonu7m7ZabS8W2x5ZfBsu83OZS+99BJ6enou6HswEBJRrWAgJCKaw77w\\\n",
       "hS8glUpheHgYBw4cQF9f3xkHV5/NL/wifOh0OthsNvh8PtTX18PpdMJoNMrQl81mEYlEMDY2hsnJ\\\n",
       "SSiVSni9Xrjdbrm/UIw9EMsxHQ4H5s+fD4/HA6VSiVgsht7eXtl5tL29HW1tbbJZTPlcRbEcVlQS\\\n",
       "Z1viKAJWMBjE7t27EYvFMDk5KSucNpsNSqUShUIBTqcTixYtwvj4uFyil8/nMT4+jqGhITidTths\\\n",
       "Nuj1ejQ2NsJms6G9vR1TU1MIBoMIhULI5/MIh8MVy1/F+AmdTgelUim7kVaHCHGuuVwOyWRSdoo9\\\n",
       "3RJTMbtRjN7I5/NwuVxwu92wWCxyHqTb7ca6detwyy23wO12Y3R0FK+++iref/99RKNR+b1atmyZ\\\n",
       "nMtIZ4+BkIhqBQMhEdEcdueddyKbzWJkZESOKfg4BouLQCg+RPgQYxNEBS4YDGLHjh3405/+hOHh\\\n",
       "YTgcDqxbtw7XX3893G43kskkjh49im3btqGrqwvpdBo+nw833HADVqxYAY1Gg+7ubrz99tsYGhqS\\\n",
       "TWsKhQLa2tpkRU80lkmlUsjlclAqlbDZbHLQfLV8Po+RkREcPHhQ7rObN28eSqUSli5dCrPZDJVK\\\n",
       "hcbGRtx+++1IJBI4cuQIkskkLBYLdDqdnE0IQM41FHsp6+rqEAqFMDY2Jpdpllf6MpkMJicn5VxE\\\n",
       "t9stg6XYHyiCbiaTkXsTRUdW0WimugmN+L6IP8W56fV61NXVoampCS6XC42Njbjjjjtwyy23VARv\\\n",
       "j8cDm82GY8eOQavV4tprr8X1118Ps9kM4MO9pkRERAIDIRHRHFZfX49CoQCr1YpoNIr3338fExMT\\\n",
       "H+k1y2caApD75cq7lZZKJaRSKezfvx+bNm3CgQMHkE6nodfrkclk0NnZCZfLhUKhgL6+Prz33nsY\\\n",
       "Hh5GLpdDb28vpqamMDIyApvNhu7ubhw5cgThcFhWqsQ8RTErT+yVC4VCKJVKcDgc6OjomLUZkqhc\\\n",
       "jo2NySqeWGY6OjqK+fPnw2KxQK1Ww+l0Ys2aNbJT6tDQEDQaDerr62E0GmXFT3QlFctHxbxAi8WC\\\n",
       "ZDIpu3xmMhmkUikkk0mk02n09PTg0KFDKJVKsNlsaG5ult1ItVotCoUCwuEwBgYGMDIyApVKhQUL\\\n",
       "FmD+/PlwuVyywljdDEd8H0Rg1+l0aGlpgU6ng9vtxtq1a7FixQrYbDb5fTQajVi3bh1aWlrQ09Mj\\\n",
       "5yc2NzdDp9PJ7yudHVYIiahWMBASEc1hGo1GdtxsaGiA1+uVFahz/eW+eiSDqAKGw2FEIpGKzqWF\\\n",
       "QgGBQABvvfUWDhw4gEgkgmKxiGw2i97eXqRSKVlVi8Vi8Pv9iMVisnrW1dWFUqmExsZGTE9Py1AF\\\n",
       "AOPj4zh69CgAoKmpCSqVCn6/H729vXJZamtrKywWC5qbm0+6DjEzMB6Py+WTYrC82WyWVTqxNNPt\\\n",
       "duPKK69ELpfD4cOHkclk0NDQALPZXFHNE0FMzCAUFcNCoYB8Po9cLod0Oo1YLIZIJIKJiQn09/fj\\\n",
       "0KFDGB4elktCnU4n5s2bh46ODjidTnkvg8EgCoUCjh07hkWLFmHFihVob2+H1Wo9qSGO+H6JD6PR\\\n",
       "iM7OTqxcuRKtra1oamqqWKYqjrdarejs7ERzczPy+Tx0Oh30er2sRDIQnj0GQiKqFQyERERzWHlz\\\n",
       "lfKxB+erfCljOp1GMBjE8PAwmpubEY1GZSfQdDqNrq4u7Nq1SwYvsWQykUjIfW4iQIlB6mL+oWiC\\\n",
       "4/V65by+XC4HAMhkMggGgxgZGZFNZIaGhnD8+HH4/X4oFAokk0ksWbKkIqSKEFwoFJBMJlEqleQs\\\n",
       "xNbWVixYsACtra1yD6Ro4KLRaOB0OrFw4UIUCgVEIhHYbDa5rLS6OldesdNqtRUhOZvNyv19oVBI\\\n",
       "Vv/Gx8eRTqdRKpUwMjKCo0ePwmq1wuv1oq6uDlqtFplMBul0Gn19fThy5AgOHDiAG2+8Eddccw28\\\n",
       "Xq/cL1m9B1HMQ3Q4HHC5XLDb7TLkVQdIpVIp92WK+y3OXezLFBVFOj0GQiKqFfyvAhHRHJbJZGQA\\\n",
       "SiQSsnvkRyGanIg/c7kcjEYjFi5ciIaGBtmw5d1338XY2FjFLEMRCkUoKpVKMBqNJ3UFFQ1hvF6v\\\n",
       "rNipVCqkUimoVCpZdRMVPgCyAlcqleSQejFTT4Q70Sk0FotBq9WisbERKpUKK1euRHt7O3w+n+z6\\\n",
       "CVSOqfB4PEilUgiFQtDpdBWjKsQ5l8/3K38cgFy+Kb4vKpUKkUgEkUhEBmIA8trER7FYRF1dnVzW\\\n",
       "Go/HEQ6HEQqFkEwm5V4/p9Mpx3qI983n8ygUCjCZTLBarbDZbGfV1VSEelGVFf8IUCwW0dLS8pF+\\\n",
       "fmoFAyER1QoGQiKiOSwUCqFQKCAej2NmZgaFQuGUHSrPpHy5YKFQkKMixFJKr9cLh8MBj8eDw4cP\\\n",
       "Y9u2bYjH47OOtwA+DFvlYyjE42q1Gj6fD8uWLYPNZoPL5YJGo4Hf70ehUIDBYIDFYoHT6YTZbIZC\\\n",
       "ocD09DTS6TRyuRxcLhfMZrM8R1EdzOVyiEQimJmZgUajQVtbG5xOJ5YvXw6fzweTyXTSbEQAcsaf\\\n",
       "6I6qVCphNptlICyf61i+j7K8Olm+tLRUKiGZTCISici5f9X3uHzUhNVqhdVqRTKZRCAQkEtwZ2Zm\\\n",
       "MDQ0hCVLlsBqtVYEPbH8NpvNVnQePVUYLA+CgUAAo6OjCAQCcn+omLf48MMPn/PPTi1iICSiWsFA\\\n",
       "SEQ0h4XDYTmHMBaLVQxsr95HeDb7CmcLd/l8HvF4HP39/Th+/DhCoRAOHz6Mqakpucyw+jmiwigC\\\n",
       "WzWVSgWHwwGfzwe73Y5cLge/3y8Hp+v1ermU1G63o1gsoqmpSX69vr4edrtdVtVEgBV7BxOJBFQq\\\n",
       "FWw2G+rq6uBwOGAymeSewNmuVcz4ExVH0VFVHCtCXfkv9+L6RfAV55LNZpFIJGTYKlcdHsUgexF+\\\n",
       "RcAsFotyeau4l+X3WIzhyGazZ1wmLI7PZDIIh8MYHh5GV1cXJiYm5PxI0RiHgZCIiMoxEBIRzWG7\\\n",
       "du2SASwYDMoQEYvFKgKEcC7NZsqHyycSCRw9elSOZRgcHJRNUKrl83lMTU0hnU4jnU5jcnKyIjiK\\\n",
       "wfSdnZ1YuHChDH0iRM7MzMjRDnV1dXC73airq4PT6cT8+fORzWbR0tKCBQsWQK/XyyWYiUQCgUAA\\\n",
       "IyMj8Pv90Gg08Hg8aGtrg9frhcFgqAh44k+xnFWpVMJgMMgllyJYiyAl9itqNBq5zy6VSsnlr1qt\\\n",
       "FsViEZFIBENDQxgYGEA8Hq+okpY37lGr1dDr9bBarfB4PGhtbYVer0c0GsX09DSy2SxcLhfa2tqg\\\n",
       "1+tP+p6Uj6uw2WxwOp2zfh/FscFgEF1dXTh48CCOHj2KsbExhMNh2dAnm83O+v2k2bFCSES1goGQ\\\n",
       "iGgO+8Mf/iCrWWJIucPhkI1eRIj5KER1KRqNore3F0qlEqlUCtls9pQzAIeHhzE9PY1IJIKenp6T\\\n",
       "qoQGg0EOp9fr9TAYDEin08hkMhgdHYXBYIDL5YLVapUjIux2O5qamuRyTrPZLENYPB7H8PAwjh8/\\\n",
       "jrGxMRSLRfh8PjQ2NqKhoUE2lxHBrHpuoBh2r1ar5agHMb4ikUhgamoKfr9fDnQXyzPT6bTs8qnX\\\n",
       "65HNZjE+Po6enh709vaiUCjAYrHIjq0ipItREUajERqNBhqNBna7HW63W85dLJVKMJvN8Pl8sFqt\\\n",
       "8tzFeYVCIfT29mJ4eBh1dXWw2WxySawI/qLJz+HDh/H73/8eu3fvRiAQkHsaxZJTcf2z/SMCzY6B\\\n",
       "kIhqBQMhEdEctn//fiiVSuj1ejgcDjidTrjdbmSzWdmwpLw6d77hUITCVCoFhUJR0UhmNoFAAMPD\\\n",
       "wxgZGcHAwEBF5UlUCEXVTlTkGhoaEI/HodPpAECOWxDhSa/Xw2KxQKVSVVTpcrkcpqensX//fuzZ\\\n",
       "swfRaBQ+nw/z58+Hz+eDw+GAXq8/ae+dqGCKbptarVYGNBHK0uk0hoeHsXPnThw4cAB+vx/FYhFm\\\n",
       "sxkulwtutxs6nQ5qtRqFQgEzMzPw+/2IRCLI5/MwGAxYuHAhdDpdxTiMRCKBfD4vQ7yoNJrNZtkY\\\n",
       "Rsw8FGFThLx8Po9wOIzDhw9j69atGB8fl/sjbTabnM0o9jHu27cPP/7xj7Fz586KZcVKpVKGYdGc\\\n",
       "hmMnzh4DIRHVCgZCIqI5LBQKQaFQQKPRIJvNwmQyyUHjqVRKdiEFTg6D5fPpqpuknE75HrjZXlMs\\\n",
       "b5yYmMCRI0cwMzNzUlMWs9lcUc0STV18Pp/cC6jT6WRgERVQ0clT7AUU4W54eBi7d+/GBx98AAAy\\\n",
       "WDmdzoqlovl8HslkEpOTkxgcHEQgEECxWITL5ZJLNsU55fN5BINBvP/++3jzzTfR19eHZDIJADLQ\\\n",
       "rly5EmazWS6NFVVEMYh+3rx5uPrqq9HZ2SmbxvT29mL//v3o7e1FPB5HNptFLBZDOp2GWq2GxWKR\\\n",
       "+x3F9YqKpWias3fvXvzbv/0bDhw4gGQyKa/T6/Vi4cKF0Ov1yOVyGBgYwIsvvoh3331X7jct3x8p\\\n",
       "giydOwZCIqoVDIRERHNYLpeTwUilUiGTycDtdsPn82FmZgbBYLBiqaJQvodNLJEUVTOxl6867Inx\\\n",
       "DGJmnqhqle8NFKMe6uvr5V5CcY7iGI1GA5vNJhvOiMYwSqUSJpMJLpcLsVgM+XxeVrTKz7l8iHqh\\\n",
       "UEAsFkN/fz8GBgYwPT0tq2miMli+bzCXy2FychLvvfcedu7cKfcaLlq0CBqNBg6HQ1YoE4kE+vv7\\\n",
       "sWvXLvT19clAVd4MZtmyZbDb7TIIimWXWq1WDry/8cYb0dLSAp1Oh1wuh4aGBgAnGgKJwC5GQIjG\\\n",
       "NmIUhzhv0fRlZmYG+/fvxyuvvILdu3cjFAqhVCohHo9j586daGxshE6ng8vlQjwex/bt27F3717E\\\n",
       "43EZ/ERF2WazQa1WIxaLyWDKcHj2GAiJqFYwEBIRzWHlVb1sNotMJgO73Q6v14uJiQn09PQgmUxW\\\n",
       "VPNEsGtsbMSqVavQ0dEBpVKJkZERHDp0CENDQwiHwxWhUCzbFIPPw+GwbBxTLBYrRkncdNNNWLZs\\\n",
       "GTKZjKxyiQqXSqWSSxvD4TDC4TAMBoMMPWI/Xj6fx8zMDAKBAFQqFerr609aKlreATUYDCKVSqFY\\\n",
       "LEKlUsFiscBgMFRUPguFglxquWXLFhw+fFjOK0yn02hqakJjY6Osmo2Pj+PQoUMYHByUry3uhd1u\\\n",
       "x4033ojPfvaz0Ol0mJqakgErEAjAYrFg+fLlWL16NVpaWiqWujocDtTV1cFqtSIQCFR0ABV7LUWA\\\n",
       "KBaLSKVScvzE+++/j23btuHIkSMIh8MVsw37+/vxxhtvIJ1OY+HChUilUjh69KgcS1EeuhsaGtDc\\\n",
       "3AyDwYBIJILJyUmEw2Gk0+mL+vNLRERzHwMhEdEcVr43MJfLIZlMQq/Xo7m5GcuXL8fBgwcrOo4q\\\n",
       "FArodDosWbIE3/zmN3HTTTfB4XDIPXOTk5N4++238eyzz2J8fFwGBJ1Oh/r6eixfvhxmsxlHjx5F\\\n",
       "KBRCJpORYbCurg5333037rvvPng8HkxPT6O9vR0NDQ0y9FgsFrS1taGurg5HjhxBd3e33DvX3NwM\\\n",
       "r9crq5DxeBwffPABgsEgGhoacO2116Kzs7NiNqConImwqlAoYLfb4XQ6EY/HEQqFoNfrkUqlEIvF\\\n",
       "sHv3brz66qs4cOCAnOGo1WoxNDSEffv2wWg0oq6uDuFwGIcOHZJ7EsWcP61Wi46ODnzjG9/AX/3V\\\n",
       "X8n9evX19Whra8O6desQCoVkhdDlcsmlseVLPoPBIHK5HNRqtayEdnd3w2g0olQqwev1AgDGxsaw\\\n",
       "detWbNmyBQMDA4hGo7KSVz4DsVgsIhgMYufOnejp6cHChQvR2dkJh8OB9evXIxgMIplMynEf9fX1\\\n",
       "cLvdUKvVSCaTMpwzEJ49VgiJqFYwEBIRXSbE3rtMJiNn8Nntdmg0Gtk4RaVSwWw2Y8WKFVixYoVs\\\n",
       "iiICi8FggNlsht/vx9atWzE2NoZcLgeLxYKOjg60tbXJDqNiaamg1WrhcrlgNBqhVquhVqvhdDrR\\\n",
       "1NQEAFCr1aivr0d7eztcLhcCgYAcX2E0GnHllVfi2muvRUNDg1wGGw6HZTBtbW1Fa2srzGazPF/x\\\n",
       "/kajES6XS3YgzeVyGBwcRDqdhlKpRDAYlIGpu7sb0WhUVtdEWA0EAjh06BD0ej2mpqYwNDSEYDAI\\\n",
       "hUIBi8UCvV6P9vZ23HffffgP/+E/wGazyeWr4r62tLSgvr5eLilVq9UolUrIZDKIx+MYHBzEu+++\\\n",
       "i507d2J0dFQGsHg8LoPi0NAQ6uvrEYvFsGvXLuzfvx/T09Oy8+hscx8ByOY04n4uWbIEV111lTyf\\\n",
       "ZDKJRCIhf0bS6XRFc5u6ujpoNJoL+BP6ycJASES1goGQiOgyISpQYj+YUqmExWKRe9fE3jaXy4X2\\\n",
       "9na5xFE0URF7AD0eD+644w7YbDZZSTMYDGhra4PH48Hw8LAMEuVz8WKxGAYHBzE5OQkAMnTZbDYo\\\n",
       "FAq43W50dnaisbERuVxOzsIbHR2VFUqPxwOr1QqdTic/AMjunJlMRi5lFWM1xAgFjUYjx1BMTEwg\\\n",
       "FovJMDwzM4NYLIahoSHMzMzIcKVSqWTDmmQyib6+PqTTaczMzFSEJYfDgQULFuDmm2/Gpz/9adjt\\\n",
       "dhkGxdB4MY9Qp9PJ+1koFORIjG3btuFPf/oTenp6ZNVWNNQRxw8NDeHIkSPQ6XSIx+OYnp5GMpk8\\\n",
       "qQNoeWOf8u+/uCfZbBb19fW44oor4PF4oFKpZJfYmZkZjIyMoLe3FyMjI4jFYtDpdLKiSWeHgZCI\\\n",
       "agUDIRHRZUIsHRRVIAByjp8YQSEqaaLKVh0sRNOXtrY22SlzaGgI2WxWVhPFUk1RnRNBJB6PY8+e\\\n",
       "PfD5fFi0aBGi0SgGBgZk4GhubkZnZyd8Ph+SySSCwaBsZpPP52VImT9/PrxeLxwOB+bNm4dCoSDn\\\n",
       "9IlZfOIcxOtMTk5iZmYG4XBYztQTDV7EXkMxvF6ESrHUVafTyZmC8XgcsVgMiURCNuoxm81obGzE\\\n",
       "VVddhZUrV8LhcFR0Lc1kMkgmkzJwiw6eYv/fkSNH8MILL+DPf/6zrPQJ5d8DsfyzfP9g+X2u/l6L\\\n",
       "wCwqkOUBXa/XY968eXC73TAajbJxj1arBXBiLMjMzIysono8HjQ2NsLtdl+gn85PHgZCIqoVDIRE\\\n",
       "RJcRhUIhlwSKJZsul0vOmRMz7cTeu9lGTJTPCWxpaZF7zETgVCqVsqoliKY2Q0ND+NOf/oTu7m7k\\\n",
       "cjn4/X4kEgk4nU4UCgXYbDa43W5Zrert7ZUD7IvFIsLhsNzrVldXh6uuugrt7e1QKBTwer1yyHuh\\\n",
       "UJDjI44dO4bjx49jeHhYjm8oX84qRjeI8y+VShVLPQHIe5bNZpFKpWRoE7/0m0wmOBwOuR9QVAWn\\\n",
       "p6fR29uL8fFxWCwWzJs3D3V1dQBOdIAdGRnBiy++iDfeeOOkRj3VYzvKH69+rPr7o9Pp0Nrais7O\\\n",
       "TmSzWXR1dWFychK5XA4ajQYul0t2HC0f7SGa9hiNRqRSKdkZVaVSyZ8VOnsMekRUCxgIiYguA2IU\\\n",
       "gkKhQCqVQiKRgMFgQF1dHRoaGmQ1TXSbDIVCiMfjp6w+lY94SKfTiMViyOVyMBqNctagRqOR+/CA\\\n",
       "E+EllUqhv78fk5OTchC7qJQFg0FoNBqYzWZZmQNOzPQ7evSoHBWh1WphMplgsVjg9XorOp2KMJZK\\\n",
       "pTAxMYG9e/di586d6Orqkk1RRFVNVNzEstDyuX7lS12TySQymYzcn1f+3EKhIOcEhkIhRCIRWCwW\\\n",
       "uVT11VdfxdatWzE9PY36+nqsW7cOq1evhsPhQCKRwPbt2/H2228jEomcdqRD+d7A8krhbIFDrVbD\\\n",
       "4/Hgtttuw6c//WkUCgVs3boVmzdvRiAQgE6nQ1NTk6xklr+O6DBrt9thsVjkPRGNeKxW63n+BBIR\\\n",
       "0ScVAyER0RwmKl0i+AAn5ttNT0+jrq5OzvUTM/REAJqYmEAwGJTLDGcLHrlcDtPT0xgbG8P09DTM\\\n",
       "ZjMcDgcAwG63w2QyyaWY4hyKxSKSySTS6bRs1iICZjgchkajgV6vh1arhV6vx+rVq9HY2IgjR45g\\\n",
       "YmICdrtd7iMUwVGcmwhrYh/cjh078MYbb+D48eOIRCJypl91FU48FwA0Go38ei6Xq1hmKe6hCMLi\\\n",
       "/ZLJJEZHR3Hw4EHodDpEIhGo1Wr09/fjhRdewNDQEPL5PAYHB2UX0I6ODkSjUTkrcLY5kOKjWCxW\\\n",
       "hMXyQC6+p+K6RPW2ubkZq1atQmdnpxwJEovFsH//fmi1WixatAhWq/WkUCmu0WazobW1Fb29vchm\\\n",
       "s3A4HLIZEJ0dLhklolrB/zIQEc1hosoGnAgZhUIBwWAQw8PDssOl2CMHQO416+3txcGDB9HZ2QmD\\\n",
       "wSCDpZDP5xEOhzE4OIiRkRHE43Gk02loNBpoNBo0NTUhHo9jYmICyWSyYpi9CIJiWaWotIkwUz5L\\\n",
       "UK1Wo729HU6nE36/H/l8HnV1dfI4UfUEPgx1xWIRvb29ePPNN3H48GHZvKa8uUv1UktRJTQYDMjn\\\n",
       "83KfoXieCEoisIpmNLlcDqlUCn6/H5lMBn6/H3V1dTIAHj9+XO7XzGazOHbsGEwmk5xbGI/HZfAr\\\n",
       "r3Tq9XpYrVao1WpEo1G5Z1F8H00mE+rr69HY2AiFQiG7pGYyGRgMBtjtdtnJVQTEa665BsViEWq1\\\n",
       "GkuWLJF7B6uJCq/P50NjYyPi8bhcCsvB9GePgZCIagUDIRHRHFY+1F3s4wsEAujt7YVGo4HFYkE2\\\n",
       "m5V74+LxuBzm/tprr6G1tRUbNmyQe/OAD7uVBgIBDA0NIRAIyK6luVwOTqcTZrMZdrsd4+PjmJqa\\\n",
       "QjgcRiwWk/vvyiuHYpmi0+mU4bN8SaRWq4XNZpPNUUSlqjwMAh/+Ap7JZHDw4EF0dXXJMCiqnKLi\\\n",
       "Vv4c0RjGYrHAbrfLfYbly0OBDwfONzU1QaVSIRAIYHp6Wu4vTCaTckmmqLSKZjIKhUKGx1AohEQi\\\n",
       "AZvNhqamJvh8Ptl8RqVSwWq1YtGiRVi6dCkA4NChQzh+/Dji8TgAwGazYeXKlVi/fj06OjpQKBTQ\\\n",
       "09ODXbt2ob+/X4Zrcd9FVbOpqQmdnZ1yvMfpqn3iHonOrMCJfZSpVOrj+tH8xGMgJKJawUBIRDSH\\\n",
       "iVAjlh2KcDQ8PAyNRoO6ujrE43FEo1HZPVOMpti3bx+efvppWCwWrFu3DgaDQb5mOp3GxMQE/H4/\\\n",
       "otEoSqWSrCKJ5iMLFixAKBTCxMQExsbGZKfPZDKJVCqFdDotg6SoRpVXymabpyeWtZYPXa++1lAo\\\n",
       "hO7ubiQSCdkgRuwNFGMXxGuoVCqYTCY59N7tdmNsbAyJREIGMHGczWbDddddh9WrVyMWi2H79u0I\\\n",
       "h8MnhVuxjLM8TIq5gyaTCT6fD62trfD5fPD5fLBarTh06BAikQjsdjuWLVuGVatWoaGhAel0Gi0t\\\n",
       "LbBYLBgdHYVOp8OyZctw6623YtmyZbBYLMhkMrBarXKOoBhFMTg4iIaGBvm9z+Vy0Ol0co9k9X0U\\\n",
       "fxeVzmPHjmF4eBjFYlFWLMW10ZkxEBJRrWAgJCKaw1KpVEUoBE4ElUAggFKphJmZGWQyGQSDQcRi\\\n",
       "MWSz2Yo9dPv378c//MM/4Pvf/z7WrVsHo9GIUqmESCSC8fFxhMNhZDIZufRQp9PB4XCgvr5eDjO3\\\n",
       "Wq0wGo1wOBxIp9MV4y+i0ShyuRx8Ph+8Xq/s5Cl+mS4Wi8hmswiFQhgcHMTMzAw8Hg8WLFgAh8NR\\\n",
       "sYdQvGZPTw/8fj+USqXcj2i322G1WpHNZjE9PS0rhxqNBl6vF8uWLUNTUxPq6urgcrkQCoUQCoVk\\\n",
       "YNXpdFi5ciUeeOABtLe3IxAIYHx8HB988EFFSBXnLPb3iSqmTqeTXVFvvfVWrFixAjabDcViEUuX\\\n",
       "LsXk5CRSqRQsFgvcbrds6CI6qprNZvj9ftjtdixevFjOiRT33Wg0yupqLpdDJBJBX18fDAYD4vE4\\\n",
       "VCoVxsfHZcAzGAwVnUbFst1EIoHu7m788Y9/xDvvvCNnTEYiEVnFpLPDQEhEtYKBkIhoDhMD1gFU\\\n",
       "/JlKpTA1NSW7W5aPYig/LpPJ4MiRI9i4cSMefvhh3HbbbbBarejq6sLw8LBcEqlWq6HVamE0GuXy\\\n",
       "SzFvLx6Pw2KxQKlUwmw2w+PxwGazAQBisZgcBG80GhEKheTriI6o5d1Cp6amYLfbcf311+PGG29E\\\n",
       "U1OT3CeZTCbR1dWFLVu2YGZmBgaDAU6nE21tbVi0aBHcbjcikQgOHz6M7u5uxGIxaLVaOWOvsbER\\\n",
       "dXV1UCqV6O3txdDQkNz/53a7cdddd+HKK6+EwWCAwWBAY2MjAFSE7fIlqA6HA3a7HXq9Hh6PBytW\\\n",
       "rMB1112HRYsWwWazySWbLpcLra2tFQ12AMiqo9frhVarRWdnJ8xms1ySq9FoZNU3Ho/LOYuiYiv2\\\n",
       "Qk5NTUGpVGJsbAzj4+NIpVI4fPgwenp6sG7dOjQ1NUGhUGBychK7du3Cli1b0NPTg3g8jlKpBK1W\\\n",
       "i+npaYTDYQSDwQv+M/tJwUBIRLWCgZCIaA4rHw5fToRAMWuwfPlgObHvcGBgAE899RReffVVLF++\\\n",
       "XC47TaVSUCqVMsSZTCbZdKW8eieqbC6XC83NzXC73XLY+/T0NPx+P2KxGI4fP47+/n4olUrE43H0\\\n",
       "9/fjwIED6OnpQTAYlBW77du34+WXX8a1116Lzs5OaDQaDA8PyxETyWQSJpMJixcvxo033oiOjg5o\\\n",
       "tVpZiQsEAsjlcnIvYvlyWq1WK6uayWQSGo0GK1aswLXXXiuDrcFggMPhkM14xHWq1Wq4XC6sWbMG\\\n",
       "N910ExYvXgyDwQCLxQKHwwGbzSaXbZY/R6fTzdp0R6VSwWAwyOP1ej30er1sCJTP55FIJDA+Po6B\\\n",
       "gQEEAgFEo1EUi0Wk02l5f0UzoXA4jGw2i+HhYRw7dgy/+93vYLVaUSqVEIvFEA6H5bJh8bOQyWTk\\\n",
       "HslgMPiJCC+f//znsXjx4kt9GkREnwgMhEREc9hsg8vLna7zZrlCoYBwOIz3338fR48ehdvtlnvR\\\n",
       "ROMRvV4vO5aK5ZLljV/E/jqdTiePE8ssI5EIjh8/jrGxMTnPb3p6WjZgKV/KCkCGkwMHDsBkMkGt\\\n",
       "ViOTySCVSqFQKECtVsNoNKKpqQkdHR2or69HPp9HJBKp2C8nApXf75efi72UotunaOLidDorlqeK\\\n",
       "/Yc6nU6GS6/Xi9tvvx1f+tKXMH/+fNnJU1SLyv8uiL+L5ablS3uLxaIM06IKW74HMJ1OIxgMyopm\\\n",
       "JBKRy4Tz+bxsbiOqiOl0Wob/dDot70f5z4q4N9WV4lAoxCWj54AVQiKqFQyERESXERFKykcdnCkM\\\n",
       "CqJamM/nkU6nZbXKZDLBZDLJMQwixIjKl1hiKcJELpdDNptFLpfDzMwMuru7sXPnThw+fBh+v18G\\\n",
       "F9H8pTwIlp9LsViUga78cYVCIQNQLper2B83NTUlq5Fi72M8Hsf4+DgSiQQmJycRDocxMDCAZDIJ\\\n",
       "ADK8plIpZDIZFItFTE5OIhgMwm63y+Y19fX1+MxnPoN7770Xra2t0Ol0FWMdzvaXfhH2RKADUDH/\\\n",
       "EDgR0DOZDCKRCMbGxjAwMCADm7hfYs+f2OOYzWbl/RTvU/2zcarPxeuxy+jZYyAkolrBQEhEdBko\\\n",
       "r1CJkKZWq5HNZmfdPwjglEGxWCzKoCGCXaFQgFKphN1uR0NDA9xuN/R6PYxGI1wuF/L5PKLRKDQa\\\n",
       "DTKZDKanpxGPx3Hs2DFs374dhw4dQiAQQCqVOmlm4OmcapkrALkEta2tDV6vF1NTUzh06BCOHTsm\\\n",
       "m+kolUo5T1Gr1aJUKiEajSIajcoAGwqFsH//fjQ1NaG1tRWRSAQHDx7EoUOHoFQq0dbWhsbGRlx7\\\n",
       "7bW48cYb0dzcXBEGzyUIiiY6ogtrPp+v6JJa3mgnFovB7/ejv78ffr9f7ncs/16Xv+7ZBP/yqm75\\\n",
       "PxaUVzfp7DAQElGtYCAkIprDypcjiv1oTqdTNiqJRqNyWaZoYlLekKS8olROVOfEn6lUCrFYDLFY\\\n",
       "DABgsViwaNEiGI1GOJ1OqNVqWCwWOctucnIS3d3d2LFjBz744APMzMzICpYIMB+FaJxz9OhRxONx\\\n",
       "GI1GRCIRucdOVNKUSiXy+TySyaSsLJaPpRDVxR07dmBgYAB6vV5eZ6lUgsViwfz587F8+XKsXLkS\\\n",
       "brdbNoupbuZzuoAgrjmVSsnGMGJMRPmyUxHGI5EI/H4/+vr60N/fj1AoJJfvitEQ5SFOjN8Qf68m\\\n",
       "/qHAYrHAarVCo9HISrAI/+I4UTml02MgJKJawUBIRDSHVVcGbTYbGhoa0NDQAJVKBYvFIoOaaA4j\\\n",
       "lnIGAgG5HHK2EFHe/CSXy8nGI6lUChqNBlarFe3t7XKfndFoRDgcxvj4OHp7e7Fjxw4cPnxYjneo\\\n",
       "ntt3qnmEZ0Oc28zMDKLRqAx25SMixP0RwUc8r/r9xJiOmZmZirCqUqmQTCbhdDpluBT3QryGCNlq\\\n",
       "tRoajUZW4KrPVYTBkZERHD9+HIFAAHq9XnY/Fc1rstksZmZmMDQ0hK6uLhw7dgz9/f0yoIqGNdXV\\\n",
       "yUwmI+clll+j+IcCi8WCK664AjfeeCPmz58PjUaDcDgMv98Pv9+PqakpOZYkEAic8/ejFjEQElGt\\\n",
       "YCAkIprDyhu6aDQa6PV6qFQqOQ8QAOx2O8xmM+rq6uSeuK6uLmSz2Yrq0KmCWXUTlNHRUWzevBmt\\\n",
       "ra2or6+HyWSCVquFWq2WYWx8fBxDQ0OIRqMyDIpwIipZIryVN1o5F2KWoghBs13D2YTN8j155ccX\\\n",
       "CgXEYjGMjo6ip6cH7e3t0Ov1MJvNKJVKSCaTiEQi0Gq1cLvdcLlcMBqNsvtqeTMXMR5i+/btePvt\\\n",
       "txEMBmE2m7F48WJcffXVmDdvHvR6PaLRKI4fP449e/bg+PHj8Pv9suKpUCig0WhgNBqh1WrleapU\\\n",
       "KjlcfmZmBslksqLiZ7VasW7dOnzta1/D8uXLYTAYZNOZWCwmu8BOTU0hHA7jnXfeOefvBRERfXIx\\\n",
       "EBIRzWFi2SMA2VjF7/cjEAjIMQZutxstLS1YuHAh3G43wuEwQqEQ9Hp9xTLD8uWn5XvMyokK2djY\\\n",
       "GHbv3o3rr78eHo9HVsfEWAqx1LR8KaMIrKJrqAgkYi/d2Ta/qa62fBzLT0+1lzKbzSIYDOLgwYOw\\\n",
       "WCyYnp6GRqPB9PQ0xsfHkU6nUV9fjyuuuAKLFy+G1+uF0WiERqOp6FiaTqfl2Iz9+/cjHA5DqVSi\\\n",
       "r68PY2NjWLt2LXw+H6anp7F79268//778Pv9SKVSMkxrtVpotdqKoKlWq2G32+HxeKDX6xEOhzE6\\\n",
       "OiqX6BqNRqxYsQIPPfQQ1qxZA7PZLKuzZrMZdrsddXV1aG1trVgSTGfGCiER1QoGQiKiy4AIatFo\\\n",
       "VC4vFMtI8/k8WlpaYLFY4HQ6ZZCoXlop/hTLHwuFQsV+u/L3ymQyGBwchN/vR1tbmwxAarUaZrMZ\\\n",
       "LpcLdrsd0WhUNkyxWq2or6+Hz+eDWq3G1NQURkZGEAwG5biE8mWl1UGtvIOq+LqohF0IYqlnMpnE\\\n",
       "4OAgCoUCPvjgA2SzWUxPTyORSMBkMsnKodVqhVKphM1mg8FgkCFZLBeNRCKYmZlBJBJBLBZDoVCQ\\\n",
       "ezwDgQCWLl2KfD6P3t5e+P1+RCIR5PN5eV9FGBRNaURV0O12Y+nSpbj66qvhdruRz+flkuBCoYC2\\\n",
       "tjYsXboUJpOpYj6iaGaj0WhgMBhgtVqRy+Uu2P38pGEgJKJawUBIRDSHlTcYEaMMyitmmUwGpVIJ\\\n",
       "g4ODWLp0KZxOJ3K53Ekz68RriEDncDjkHDsx+686PEYiEfT29mL+/PkygGazWajVatTX12P+/PkA\\\n",
       "gFQqBaPRiIaGBrS3t8PtdiOTycBoNMoOqGq1uqJKKPbDVe87FPMQFQqFHMxeHVg/TiJ0xmIxDAwM\\\n",
       "YHR0FPl8Xi6DNZlMMBqNmJ6elnvv/H4/dDodrFYrLBaLHGmh0Whgt9tlGBdjPPL5PI4cOQIAcLlc\\\n",
       "svmOCMjifotgXSgUEI/H5diJZDKJhoYGLFu2DC6XS84xFOcJoKIaLIhAI4K2GCNCZ4eBkIhqBQMh\\\n",
       "EdEcZrFYKn75L6+yKRQK5HI5xGIx9PT0YNeuXbJSNTAwgHg8XlFhE4HQZDLB5XIhmUxWzB4sP06h\\\n",
       "UCCZTOL999+H0WhEe3s7zGYzACAej0Ov16OtrU02sbHb7WhubkZ9fT10Oh1mZmYQCoVgtVqRSCTk\\\n",
       "GAe9Xi+fE4lEEIlEkE6n5aB4i8UCt9sNjUaDYDAoq4vnGwirZ/HNRlRfyxvLlDeeEUstw+EwUqmU\\\n",
       "bHRjtVrR0dGBlpYW6HQ6mM1mzJ8/H4cPH8bMzIx8TXGtMzMzqKurg9vtxvj4eMX3R4Rhg8Eg9wiK\\\n",
       "UCoqwmJvoaigarVa6HQ6GSpPFUrKlwifqkvp5eall15CT0/PBX0PBkIiqhUMhEQ0q1wuh//23/4b\\\n",
       "Xn/9dfT398Nms2H9+vX4p3/6JzQ0NJz2uc899xx+8IMfwO/3Y8WKFXj22WexevVq+fV0Oo2///u/\\\n",
       "x69+9StkMhls2LABP/nJT+D1ei/0ZV12/uqv/grRaBSDg4MYHR2t2AMmfrHP5XIIBALYsWMHBgcH\\\n",
       "kc1mMTY2JpcdVu8fLBaLiEajJ83JE8eKSlMymcTevXsxOjoKr9cLn88Hr9crm67o9XrU19dDo9HA\\\n",
       "4/GgsbERTqdTNpcJBAKw2+2ysY3VakVDQwO8Xi+USiVGR0dx6NAhjIyMyLERYp+iy+WCVquVFcbq\\\n",
       "zprlf55qj6C4DhGCTjcXsXrWnzhODJCPx+MyFPb392N0dBRqtRp+vx9r1qxBa2srjEYjOjo60N7e\\\n",
       "jtHRUTkHUTSdyWazMJvNMJvNGB8fl6FRHCP2ERaLRTljUixpnZyclNXA8vAhKsgixJ4qxFRfF50Z\\\n",
       "AyER1QoGQiKaVTKZxL59+/Dd734XK1asQCgUwn/5L/8Fd955J/bs2XPK5/3617/Gxo0b8bOf/Qxr\\\n",
       "1qzBM888gw0bNqCrqwt1dXUAgMceewyvvfYaXn75ZdhsNjz66KO455578O67716sy7tsPPbYY4hG\\\n",
       "o9i9ezd+85vf4OjRo3KOXPkv+NlsFpOTk3KenViqWE4Eo3g8Lpckls/rE/vPxIcYrj45OQmtVguL\\\n",
       "xQKfz4fm5mbZ5ESpVMJgMMBiscDj8aCurg5qtRo2mw1KpRKFQgEGgwH5fB4ulwvt7e1oaWmBXq/H\\\n",
       "2NgYotEoJiYmZOUzHo8jEonA6/Wivr5eLn1NJpOyaifOVYSh8lEU5aFRdGYVswrLx0mcymxdTHO5\\\n",
       "HBKJhLxnYl9goVCAWq2G1+uFw+GA3W6H1+tFZ2cnDh06hGg0KiuAooGNQqGA0WiExWKpCHO5XA6p\\\n",
       "VAr5fF425hFLatPpNI4dO4ahoSFYrVZ538tDXnVVszygFItFWXHMZrNwOBzn/oNIRESfWAyERDQr\\\n",
       "m82GzZs3Vzz24x//GKtXr8bw8DBaWlpmfd4Pf/hDfPWrX8VXvvIVAMDPfvYzvPbaa9i0aRO+/e1v\\\n",
       "IxKJ4Oc//zleeukl3HzzzQCA559/HosXL8bOnTtxzTXXXNgLu8w0NTXJSt4HH3yAwcFBua+unNgL\\\n",
       "J6pI1XsCyytlYiljecWsfK8Z8GGIKF+aKpZUimWLZrMZGo1GNqgRzUt0Op3cZzg1NYVEIoFUKgWr\\\n",
       "1Qq73S6bsiSTSRgMBvleIhglk0lks1k4nU7Y7XZMTU3JvZIAZKOU8iYsoppWvfRV7J0r36t3OrMt\\\n",
       "qRTnJe6tOE4034nH4/L6tFotnE6n7PZZPZoinU7L+1Ue6EQlMp1Ow2w2Q6vVQqPRyPs+OTmJgYEB\\\n",
       "tLe3V3QiLf/eA6hoyiOupVAoIJlMYnp6GtPT07j66qvPeB+IFUIiqh0MhER01iKRCBQKBex2+6xf\\\n",
       "z2az2Lt3L77zne/Ix5RKJdavX48dO3YAAPbu3YtcLof169fLYzo7O9HS0oIdO3YwEFYRXUOtVitU\\\n",
       "KhVmZmbw7rvvIh6Pn9Sxs3pJZHm3SfEhwld5oBShSa1Wy6rebAPgyx9Lp9MwGo1QqVRwOBwwm81Y\\\n",
       "unQpjEYjjEYjTCYTNBoN0uk0EokEpqam5J43i8UCi8WCXC4Hi8UiK5UiFIZCIQSDQTQ2NmLBggVI\\\n",
       "JpPI5/OyMqrVamGz2eD1emEymRCLxeQIh0QiUXFt5Q1rykNxtfLQXE6EvlAohFgsBrPZLCt84nxE\\\n",
       "xdBms0Gj0cDr9aKhoQEDAwMVy11jsRgGBwdhNptlyC0P5slkEjMzM1CpVHI/YalUQiaTQV9fH375\\\n",
       "y1+iVCrhhhtugNPphFqtlkFTBOby0AycaDo0OjqKN954A5s3b8bo6CgOHDhw/j+QNYSBkIhqBQMh\\\n",
       "EZ2VdDqNxx9/HF/84hdhtVpnPSYYDKJQKJy0F9Dr9eL48eMATnRo1Gq1J4VKr9cLv99/yvfPZDJy\\\n",
       "TxZw4pfwWqDRaFAqlWCz2bB27Vo88cQTeOqpp/D222/LJYnVAae6s6RYNlkoFGQDl+r9eOJY0cBG\\\n",
       "hDNBHJ/JZBAOh2WYyefzUKlUGBwchMlkQnNzM8xms2xeI5aGHjp0CAqFQgbDjo4OGI1GeDweGVTL\\\n",
       "q1nj4+NYtmwZli5dKhvrjIyMIJvNQq/Xo6mpCTfffDOuvPJK6PV6HD16FMePH8dbb72FqampiuWw\\\n",
       "YgyHuL7ZRlmI42arvMXjcfT390On02HRokVwu90wGAyIx+MATlRjJyYmZFOcfD4Ph8MBo9EoG8QU\\\n",
       "CgVMT09jz549UKvVSKVSFXs8RbCLRCIAIP83JgJpKpXCtm3bcOjQIXzqU5/C7bffjhUrVsBut8v7\\\n",
       "J7rAiiWlsVgM7733Hn784x/j4MGD8v3o7DHoEVEtYCAkIgDAiy++iK997Wvy8zfeeAM33HADgBNN\\\n",
       "Sz7/+c+jVCrhpz/96SU5vyeffBL/+I//WPHYE088cUnO5WITv5Sq1Wo0Njbiuuuuw8jICIaGhmQH\\\n",
       "zvK9ZOI5KpUKOp0OOp1OjnGonjsojlOr1VAoFBVB6lRKpZJcpikqYNlsFq+//jpWrlwplzzmcjmM\\\n",
       "j4/j4MGDOHbsGPL5vAxOZrMZFosFNpsNJpMJwWBQvr6Y65dOp2GxWGQjG7FMs1gsQqPRoK2tDcuW\\\n",
       "LYPVakV7ezuuuOIK9PX1YXp6+qRmLUajEQqFArFY7KRQXH1t5cq7hPb398vuqgaDAQqFAvF4HMFg\\\n",
       "ENFoFGNjY7BYLEilUggEAhXhS7xOLBY7af9f9fuJZaXiekWgzOfzCAaD2Lt3L7LZLAKBABYuXAib\\\n",
       "zSaH2huNRuj1ehSLRQwODuLNN99ET0+PHC1CZ+9iVgjFzwRw6m64REQXCgMhEQEA7rzzTqxZs0Z+\\\n",
       "3tjYCODDMDg0NIStW7eesjoIAG63GyqVCpOTkxWPT05OwufzAQB8Ph+y2SzC4XBFlbD8mNl85zvf\\\n",
       "wcaNG+Xn0WgU//qv/3pO13g5EqFCVKuKxSLq6+vlIHIRbrLZLJLJpNyvVygUTqoQAqiYY1geGrVa\\\n",
       "7azNWcopFApoNBrodDoZPsXrFQoFHDhwAL/73e/g9Xrh8XgQiUTQ1dWFgYEB2YQlmUzi3//93+F0\\\n",
       "OvGpT30KOp0OLpcLY2NjJ1XLwuFwxWgMEVbFn263Gy6XCyaTCWazWVZRDxw4IJdQijDY0dGBhoYG\\\n",
       "jI6Ooru7Ww6FLyeOL9/3J74HmUwGgUAAXV1dyOVycLvdyGazCAaDCIVCSKVSskuoSqVCIpGo6DJa\\\n",
       "HdrLO6XO1shGfP/EMeU/D6lUCuPj47Jxjdi7KBr/mM1mFAoFdHV1obu7G6lUiiHjPFysQLho0SJ+\\\n",
       "f4jokmIgJCIAkPu6yokw2NPTgz//+c9wuVynfQ2tVotVq1Zhy5YtuOuuuwCc+AV2y5YtePTRRwEA\\\n",
       "q1atgkajwZYtW3DvvfcCALq6ujA8PIy1a9ee8rVFpavWiKWx+Xwe8XgcIyMjiMfjmDdvHlpaWmTl\\\n",
       "KxwOY2hoCD09PXLGnWhIIkKRqGqpVCo5LN5gMMBgMAA4sUf0dCMcNBoNbDYbnE4nMpmMbLQiAkwk\\\n",
       "EsHmzZuxdOlSrFmzBrFYDCMjI4jFYhXLUIeGhrB582YZYurq6mAwGGRVT+xXnJqaQn9/P6LRaMVc\\\n",
       "P3FNZrMZer0eGo1GLgm96aab8MorryCRSKBYLEKr1aK1tRV33303li9fLs/xrbfegt/vr+g8KpbZ\\\n",
       "lg9+L+8Smk6n5V5Fi8UiB9onEomKcxd7MfP5/Gl/0ReBr/z9RYAXFdvy6q1CoYBOp4PNZoPZbEY2\\\n",
       "m0V/f7/cO5nP5+VybLPZLOcnnkuwoQ9djED4yiuvoLu7Gy6XC9PT0+f1GkREHxUDIRHNKpfL4XOf\\\n",
       "+xz27duHV199FYVCQe7xczqd0Gq1AIBbbrkFd999twx8GzduxJe//GVcddVVWL16NZ555hkkEgnZ\\\n",
       "ddRms+Hhhx/Gxo0b4XQ6YbVa8c1vfhNr165lQ5lZvPXWWygUCkgkEgiFQohGo1AoFPB6vWhra4PH\\\n",
       "44FarUY4HMbx48eRyWQQDAblmAXgxB43hUIBi8UCq9UKk8kkR0O4XC4YjUYEg0FZOZttT6JKpYLV\\\n",
       "asXChQvR0tKCUCiEfD4vO6CKADU+Po6//OUvcDqdAHBS8xtR4Tp+/DgcDgc6Ozths9ngcDiQSqWQ\\\n",
       "y+XkUslgMIhDhw4hnU4jEonIcKZQKORoBhG+xONLly7FNddcg5mZGWQyGXg8Htxyyy1Yv369nJ85\\\n",
       "f/58OJ1O/OY3v8Ho6KjsUCoqquVLbMuX5IpQKKqX5aGx/J7lcjnZ1GU2otKq0Whk+BTzH8WyTzGP\\\n",
       "UARxhUIBk8mE+vp6tLe3w+PxIJ1Oo6+vTy6TFV1QDQaD7NCqVquh1+tPu0yWPj7bt2+v+HzJkiUV\\\n",
       "M1ir3XfffQBO7L9maCeiS4WBkIhmNTY2hj/84Q8AgJUrV1Z87c9//jNuuukmAEBfX1/F/q8vfOEL\\\n",
       "CAQC+N73vge/34+VK1fizTffrGg08/TTT0OpVOLee++tGExPJ/vXf/1X5PN5GZYMBgPmz5+PefPm\\\n",
       "yXmASqUSdrsdpVIJg4ODOHLkiFxaKYKMCBsmkwkmkwk+nw9tbW1oaWmBwWBAf38/ZmZmMDU1ddI5\\\n",
       "KJVK6PV6tLa2Yt26dejo6MD09DTy+TzC4bCsEoruo729vRgYGIDNZpPvDXxYCSsUCohGozhy5IgM\\\n",
       "LG63G9FoVAZIsT9vcHBQLtkU56LVauFyueRoB+DD6p7T6cTnPvc5TE1NIRgMYvny5bjtttvQ3Nws\\\n",
       "q6nt7e245557EA6H8frrryMQCCCfz8ugZrFYoNVqEYvFkM1mZRAtX7Yrlpueah9geXWp/Bd9UQU0\\\n",
       "mUxwuVyw2Wyy2Y24V6JCKvZoqtVqeDweLFu2DFdffTXa2tqgVCrR29uLsbExhMNhRKNReU5inqHB\\\n",
       "YIDH45HNhM5UsaRK51Mh3LRpEzZt2lTxtVPdc71eD+DkEElEdLExEBLRrNra2s7ql8fBwcGTHnv0\\\n",
       "0UdlxXA2er0ezz33HJ577rmPcoo14ciRI3KPHgCYzWY4HA4YDAa5NFCEjPr6ejQ3N0Ov11eMoRBB\\\n",
       "LZlMwmazwWg0oqmpCYsWLcKCBQtgMpngdDpx9OhRdHd3V+xrE9VBm82GFStW4JprrkFLSwuSySRi\\\n",
       "sRiOHTuGWCwm36tYLCISiWByclKGtepqmaisBYNBDAwMoLm5GVarFQ6HoyL8icqdOB+1Wg2VSgW7\\\n",
       "3S67mVYHL7Fs+YEHHoDf78eSJUvQ2dkJo9Eol17q9Xo0NzdjzZo1OHToEGKxWMUeQLF8Wq1WIxKJ\\\n",
       "nFRZO9Wy2uprrJ5DCJwItGLfpKi2Go1GGdoSiQRisRii0ag8J4/Hg6uvvhqf/vSnMX/+fHm82WzG\\\n",
       "jh07kM/nK/aGAieWGJvNZixbtgyNjY1ybym7jJ698wmEDz30kGzGBZyoEM7mwQcfRCaTwZVXXonr\\\n",
       "r7/+o58sEdFHwEBIRDSHiT2E5dWjVCoFrVYr98+JX0YtFgvq6upgNBoBVAaXfD4vK04AZKAUlTaF\\\n",
       "QoG2tja5FBj4sOqm0+lQV1eHJUuWoK2tDW63G/l8HsuXL4fH48H4+LgMbaIhTDQahc1mA/DhXrly\\\n",
       "IvhNT0/DarVCr9fDZrPJMCj2C+bzebmvT6fTwWAwoL6+vqLTZzmlUgmHw4G1a9ciHo/D6XTCZrNB\\\n",
       "pVJVBFSDwYDGxkZ4PB709/cjm83KYG0wGE6qbp6r6rmG4vugVqthNBrhdrvR3NyMtrY2mM1muUd0\\\n",
       "enpaBvh8Pg+9Xo958+bh6quvRkdHB2w2m+xI6fV60dLSclIFVtyHxsZGXHnllchmsxgbG5N7Juns\\\n",
       "nE8gvOGGG/Dggw+e8fhXXnkFALBv376T3kOhUGBiYuK0TbaIiD5ODIRERHNY+dJEEZDEHjWVSlXR\\\n",
       "CEWj0cBsNp8UlERQKx8ALyp/omuo2WyG2+2WAbN8PqFGo4HdbofH45GNXAqFAjweD6xW60ndMAuF\\\n",
       "AjKZjDz3U/1iXT5jTwytF/vdypc3iqWcer0edrsd9fX18Hg80Gq1s76uOF/RSKd8n6GgVCphNBpP\\\n",
       "2oco7oler4dOpzuvQFg+B7L8voh7Lpbuio6gJpNJdlEVXUrLw7jL5ZKNd8TXSqUS9Ho9nE7nrPsV\\\n",
       "NRqNDIz5fB5NTU1Qq/mf/HNxIZvK/J//83/wL//yLxWP7d69GwCwevVqhkEiuqgUJW4oIKLLUDQa\\\n",
       "xQ9/+MMz/iLW0dGBv/7rv75IZ0VEF8NLL72Enp6e0x7z/e9/H5FI5LSjcmbzwgsv4Ctf+QpeffVV\\\n",
       "mEyms3pOIpHAf/yP/xHPP//8WVUIZ1NdTSYiuljOby0MERERERERXfa4foSIiIioysUaTC+wMkhE\\\n",
       "lwoDIREREVGVix0IiYguFQZCIiIioioMhERUKxgIiYiIiKowEBJRrWAgJCIiIqrCQEhEtYJdRomI\\\n",
       "iIiIiGoUK4REREREVVghJKJawUBIREREVIWBkIhqBQMhERERURUGQiKqFQyERERERFUYCImoVjAQ\\\n",
       "EhEREc2CQY+IagG7jBIREREREdUoVgiJiIiIqnDJKBHVCgZCIiIioioMhERUKxgIiYiIiKowEBJR\\\n",
       "rWAgJCIiIqrCQEhEtYKBkIiIiKgKAyER1QoGQiIiIqIqDIREVCs4doKIiIiIiKhGsUJIREREVIUV\\\n",
       "QiKqFQyERERERFUYCImoVjAQEhEREVVhICSiWsFASERERFSFgZCIagUDIREREVEVBkIiqhXsMkpE\\\n",
       "RERERFSjWCEkIiIiqsIKIRHVCgZCIiIioioMhERUKxgIiYiIiKowEBJRrWAgJCIiIqrCQEhEtYKB\\\n",
       "kIiIiKgKAyER1Qp2GSUiIiIiIqpRrBASERERVWGFkIhqBQMhERER0SwY9IioFjAQEhEREVVhhZCI\\\n",
       "agUDIREREVEVBkIiqhUMhERERERVGAiJqFYwEBIRERFVYSAkolrBsRNEREREREQ1ihVCIiIioiqs\\\n",
       "EBJRrWAgJCIiIqrCQEhEtYKBkIiIiKgKAyER1QoGQiIiIqIqDIREVCsYCImIiIiqMBASUa1gl1Ei\\\n",
       "IiIiIqIaxUBIREREVEVUCM/241wolcqTnn/LLbdcoCshIjo9BkIiIiKiKhcyEJZKJajVaqxduxYr\\\n",
       "V64EAGzduhW///3vL8CVEBGdHgMhERERUZULHQhzuRzee+897N+/H9/97ncBAH/3d393IS6FiOi0\\\n",
       "2FSGiD7RRkZG8NJLL13q0yCij9HIyMgFf4/zaSqzffv2iseXLFmC1atXn/H5e/bsAQA0Nzef41kS\\\n",
       "EX10DIRE9ImWTqfR09NzqU+DiC4z5xMIN23ahE2bNlV8rVQqnfa54XAYb7zxBgBg165d53GmREQf\\\n",
       "DQMhERER0cfgoYcewg033CA/X7JkyRmf43A45HOJiC4FBkIiIiKiKudTIbzhhhvw4IMPntN7AMA9\\\n",
       "99yDn//85+d8jkREHwc2lSGis/L1r38dCoUCzzzzzBmPfe6559DW1ga9Xo81a9Zg9+7dFV9Pp9N4\\\n",
       "5JFH4HK5YDabce+992JycvICnTkR0bm7kE1l0um0fM6tt96Kf/u3f7sQl0BEdFYYCInojH77299i\\\n",
       "586daGhoOOOxv/71r7Fx40Y88cQT2LdvH1asWIENGzZgampKHvPYY4/hj3/8I15++WVs27YN4+Pj\\\n",
       "uOeeey7kJRARnZMLGQgNBgMAwOfzYenSpdi4cSM2btyILVu2XIhLISI6LS4ZJaLTGhsbwze/+U28\\\n",
       "9dZbuP322894/A9/+EN89atfxVe+8hUAwM9+9jO89tpr2LRpE7797W8jEong5z//OV566SXcfPPN\\\n",
       "AIDnn38eixcvxs6dO3HNNddc0OshIjpb5xr0zpXf78fTTz8tP3/22WeRy+Uu6HsSEVVjhZCITqlY\\\n",
       "LOL+++/Hf/2v/xVLly494/HZbBZ79+7F+vXr5WNKpRLr16/Hjh07AAB79+5FLperOKazsxMtLS3y\\\n",
       "GCKiS+1CzyGc7YNhkIguBVYIieiU/vf//t9Qq9X4z//5P5/V8cFgEIVCAV6vt+Jxr9eL48ePAzjx\\\n",
       "L+JarRZ2u/2kY/x+/ylfO5PJIJPJyM+j0ehZXgURERERnQorhEQEAHjxxRdhNpvlx7Zt2/Av//Iv\\\n",
       "eOGFFy74sqmz8eSTT8Jms8kPDnAmogvpQlYIiYjmEgZCIgIA3HnnnThw4ID8eO+99zA1NYWWlhao\\\n",
       "1Wqo1WoMDQ3h7//+79HW1jbra7jdbqhUqpM6hk5OTsLn8wE40UQhm80iHA6f8pjZfOc730EkEpEf\\\n",
       "IyMjH+l6iYhOh4GQiGoFl4wSEQDAYrHAYrHIz//2b/8Wd9xxR8UxGzZswP333y8bxlTTarVYtWoV\\\n",
       "tmzZgrvuugvAiX2IW7ZswaOPPgoAWLVqFTQaDbZs2YJ7770XANDV1YXh4WGsXbv2lOen0+mg0+k+\\\n",
       "yiUSEZ2185lDSER0OWIgJKJZuVwuuFyuisc0Gg18Ph8WLVokH7vllltw9913y8C3ceNGfPnLX8ZV\\\n",
       "V12F1atX45lnnkEikZAh0maz4eGHH8bGjRvhdDphtVrxzW9+E2vXrmWHUSKaMxgIiahWMBAS0UfS\\\n",
       "19eHYDAoP//CF76AQCCA733ve/D7/Vi5ciXefPPNikYzTz/9NJRKJe69915kMhls2LABP/nJTy7F\\\n",
       "6RMRzYqBkIhqBQMhEZ21wcHBs3rs0UcflRXD2ej1ejz33HN47rnnPsazIyL6+DAQElGtYFMZIiIi\\\n",
       "IiKiGsUKIREREVEVVgiJqFYwEBIRERFVYSAkolrBQEhERERUhYGQiGoFAyERERFRFQZCIqoVDIRE\\\n",
       "REREVRgIiahWsMsoERERERFRjWKFkIiIiKgKK4REVCsYCImIiIiqMBASUa1gICQiIiKqwkBIRLWC\\\n",
       "gZCIiIioCgMhEdUKBkIiIiKiKgyERFQr2GWUiIiIiIioRrFCSESXpVKpdKlPgYjmuI/y/xOxWOys\\\n",
       "K3+xWOy834eI6FJjICSiy1IsFsM//uM/XurTIKI5LBaLwWazndNzFixYAABobm4+5/cTzyUiupwo\\\n",
       "SvxndiK6DBWLRYyPj8NisdT0/p1oNIrm5maMjIzAarVe6tO5ZHgfTuB9OKFUKiEWi6GhoQFK5bnv\\\n",
       "jnnnnXfQ29t7Ts9ZsGABrr/++nN+LyKiS42BkIjoMhaNRmGz2RCJRGo6APA+nMD7QERE54pNZYiI\\\n",
       "iIiIiGoUAyEREREREVGNYiAkIrqM6XQ6PPHEE9DpdJf6VC4p3ocTeB+IiOhccQ8hERERERFRjWKF\\\n",
       "kIiIiIiIqEYxEBIREREREdUoBkIiIiIiIqIaxUBIRDSH5HI5PP7447jiiitgMpnQ0NCABx54AOPj\\\n",
       "42d87nPPPYe2tjbo9XqsWbMGu3fvrvh6Op3GI488ApfLBbPZjHvvvReTk5MX6lI+kjNdS7WXX34Z\\\n",
       "nZ2d0Ov1uOKKK/D6669XfL1UKuF73/se6uvrYTAYsH79evT09FzIS/jInnzySVx99dWwWCyoq6vD\\\n",
       "XXfdha6urjM+75N4L4iI6MJhICQimkOSyST27duH7373u9i3bx9+85vfoKurC3feeedpn/frX/8a\\\n",
       "GzduxBNPPIF9+/ZhxYoV2LBhA6ampuQxjz32GP74xz/i5ZdfxrZt2zA+Po577rnnQl/SOTubayn3\\\n",
       "3nvv4Ytf/CIefvhh7N+/H3fddRfuuusuHDlyRB7z1FNP4Uc/+hF+9rOfYdeuXTCZTNiwYQPS6fTF\\\n",
       "uqxztm3bNjzyyCPYuXMnNm/ejFwuh1tvvRWJROKUz/mk3gsiIrqASkRENKft3r27BKA0NDR0ymNW\\\n",
       "r15deuSRR+TnhUKh1NDQUHryySdLpVKpFA6HSxqNpvTyyy/LY44dO1YCUNqxY8eFO/nzcKZrqfb5\\\n",
       "z3++dPvtt1c8tmbNmtLXvva1UqlUKhWLxZLP5yv94Ac/kF8Ph8MlnU5X+uUvf3kBruDCmJqaKgEo\\\n",
       "bdu27ZTH1Mq9ICKijw8rhEREc1wkEoFCoYDdbp/169lsFnv37sX69evlY0qlEuvXr8eOHTsAAHv3\\\n",
       "7kUul6s4prOzEy0tLfKYueBsrqXajh07Ko4HgA0bNsjjBwYG4Pf7K46x2WxYs2bNnLr2M4lEIgAA\\\n",
       "p9N5ymNq5V4QEdHHh4GQiGgOS6fTePzxx/HFL34RVqt11mOCwSAKhQK8Xm/F416vF36/HwDg9/uh\\\n",
       "1WpPCpXlx8wFZ3Mt1fx+/xmvXTx2tq851xSLRXzrW9/Cddddh2XLlp3yuFq4F0RE9PFiICQiuoRe\\\n",
       "fPFFmM1m+bF9+3b5tVwuh89//vMolUr46U9/egnPki61Rx55BEeOHMGvfvWrS30qRET0CaO+1CdA\\\n",
       "RFTL7rzzTqxZs0Z+3tjYCODDMDg0NIStW7eesjoIAG63GyqV6qSOoZOTk/D5fAAAn8+HbDaLcDhc\\\n",
       "USUsP2YuOJtrqebz+c547eKx+vr6imNWrlz5MZ79hfHoo4/i1Vdfxdtvv42mpqbTHvtJvxdERPTx\\\n",
       "Y4WQiOgSslgsWLBggfwwGAwyDPb09ODf//3f4XK5TvsaWq0Wq1atwpYtW+RjxWIRW7Zswdq1awEA\\\n",
       "q1atgkajqTimq6sLw8PD8pi54GyupdratWsrjgeAzZs3y+PnzZsHn89XcUw0GsWuXbvm1LVXK5VK\\\n",
       "ePTRR/Hb3/4WW7duxbx58874nE/qvSAiogvoUne1ISKiD2Wz2dKdd95ZampqKh04cKA0MTEhPzKZ\\\n",
       "jDzu5ptvLj377LPy81/96lclnU5XeuGFF0pHjx4t/e3f/m3JbreX/H6/PObrX/96qaWlpbR169bS\\\n",
       "nj17SmvXri2tXbv2ol7f2TjTtdx///2lb3/72/L4d999t6RWq0v//M//XDp27FjpiSeeKGk0mtLh\\\n",
       "w4flMf/0T/9Ustvtpd///velQ4cOlT772c+W5s2bV0qlUhf9+s7W3/3d35VsNlvpL3/5S8XPQTKZ\\\n",
       "lMfUyr0gIqILh4GQiGgOGRgYKAGY9ePPf/6zPK61tbX0xBNPVDz32WefLbW0tJS0Wm1p9erVpZ07\\\n",
       "d1Z8PZVKlb7xjW+UHA5HyWg0lu6+++7SxMTERbiqc3e6a7nxxhtLX/7ylyuO/3//7/+VFi5cWNJq\\\n",
       "taWlS5eWXnvttYqvF4vF0ne/+92S1+st6XS60i233FLq6uq6GJdy3k71c/D888/LY2rlXhAR0YWj\\\n",
       "KJVKpUtTmyQiIiIiIqJLiXsIiYiIiIiIahQDIRERERERUY1iICQiIiIiIqpRDIREREREREQ1ioGQ\\\n",
       "iIiIiIioRjEQEhERERER1SgGQiIiIiIiohrFQEhERERERFSjGAiJiOiy8POf/xy33nrrBX+fN998\\\n",
       "EytXrkSxWLzg70VERHSpMRASEdGcl06n8d3vfhdPPPHEBX+v2267DRqNBi+++OIFfy8iIqJLjYGQ\\\n",
       "iIjmvFdeeQVWqxXXXXfdRXm/Bx98ED/60Y8uynsRERFdSgyERER00QQCAfh8Pvyv//W/5GPvvfce\\\n",
       "tFottmzZcsrn/epXv8Idd9xR8dhNN92Eb33rWxWP3XXXXXjwwQfl521tbfgf/+N/4IEHHoDZbEZr\\\n",
       "ayv+8Ic/IBAI4LOf/SzMZjOWL1+OPXv2VLzOHXfcgT179qCvr+/8L5aIiOgywEBIREQXjcfjwaZN\\\n",
       "m/D9738fe/bsQSwWw/33349HH30Ut9xyyymf98477+Cqq646r/d8+umncd1112H//v24/fbbcf/9\\\n",
       "9+OBBx7Al770Jezbtw/z58/HAw88gFKpJJ/T0tICr9eL7du3n9d7EhERXS4YCImI6KL6zGc+g69+\\\n",
       "9av4m7/5G3z961+HyWTCk08+ecrjw+EwIpEIGhoazvv9vva1r6GjowPf+973EI1GcfXVV+O+++7D\\\n",
       "woUL8fjjj+PYsWOYnJyseF5DQwOGhobO6z2JiIguFwyERER00f3zP/8z8vk8Xn75Zbz44ovQ6XSn\\\n",
       "PDaVSgEA9Hr9eb3X8uXL5d+9Xi8A4IorrjjpsampqYrnGQwGJJPJ83pPIiKiywUDIRERXXR9fX0Y\\\n",
       "Hx9HsVjE4ODgaY91uVxQKBQIhUJnfN1CoXDSYxqNRv5doVCc8rHqMRMzMzPweDxnfE8iIqLLGQMh\\\n",
       "ERFdVNlsFl/60pfwhS98Af/9v/93/Kf/9J9Oqs6V02q1WLJkCY4ePXrS16qXefb3938s55hOp9HX\\\n",
       "14dPfepTH8vrERERzVUMhEREdFH9wz/8AyKRCH70ox/h8ccfx8KFC/HQQw+d9jkbNmzAO++8c9Lj\\\n",
       "v//97/Gb3/wGfX19+J//83/i6NGjGBoawtjY2Ec6x507d0Kn02Ht2rUf6XWIiIjmOgZCIiK6aP7y\\\n",
       "l7/gmWeewS9+8QtYrVYolUr84he/wPbt2/HTn/70lM97+OGH8frrryMSiVQ8fvvtt+Opp57CkiVL\\\n",
       "8Pbbb+MnP/kJdu/ejV/84hcf6Tx/+ctf4m/+5m9gNBo/0usQERHNdYpSeZ9tIiKiOeq+++7DlVde\\\n",
       "ie985zsATswhXLlyJZ555pmP9X2CwSAWLVqEPXv2YN68eR/raxMREc01rBASEdFl4Qc/+AHMZvMF\\\n",
       "f5/BwUH85Cc/YRgkIqKawAohERFdli5UhZCIiKiWMBASERERERHVKC4ZJSIiIiIiqlEMhERERERE\\\n",
       "RDWKgZCIiIiIiKhGMRASERERERHVKAZCIiIiIiKiGsVASEREREREVKMYCImIiIiIiGoUAyERERER\\\n",
       "EVGNYiAkIiIiIiKqUQyERERERERENYqBkIiIiIiIqEYxEBIREREREdUoBkIiIiIiIqIaxUBIRERE\\\n",
       "RERUo/4/xwioyqjsYgAAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[7] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA3eZJREFUeJzs3XeYnGW5P/Dv9N53tvdsS9n0XkggCQFCIKKAnNAERSMqyFGO\\\n",
       "KEUCR0SPCh4O8kNUFGmJJYgQSkIKqaTXzfbdbJ3dnd7r+/sj1/MwM1uyaaTs/bmuXJCZd955Z2bR\\\n",
       "+e79PPctEgRBACGEEEIIIYSQEUd8oS+AEEIIIYQQQsiFQYGQEEIIIYQQQkYoCoSEEEIIIYQQMkJR\\\n",
       "ICSEEEIIIYSQEYoCISGEEEIIIYSMUBQICSGEEEIIIWSEokBICCGEEEIIISMUBUJCCCGEEEIIGaEo\\\n",
       "EBJCCCGEEELICEWBkBBCCCGEEEJGKAqEhBBCCCGEEDJCUSAkhBBCCCGEkBGKAiEhhBBCCCGEjFAU\\\n",
       "CAkhhBBCCCFkhKJASAgh5Ixs2rQJIpEImzZtutCXQs6xzz77DHK5HK2trV/4c9vtdmg0Grz//vtf\\\n",
       "+HMTQshIRIGQEELIkF588UW8+uqrF/oyzsgbb7yB55577kJfBgAgkUjgF7/4BUpKSqBUKjF+/Hi8\\\n",
       "+eabw368y+XCfffdB6vVCo1GgyuvvBL79u3rd9zbb7+N22+/HeXl5RCJRFiwYMFpX+tPfvIT3Hbb\\\n",
       "bSgqKjrtx54ti8WCr3/963jssce+8OcmhJCRSCQIgnChL4IQQsjFa9y4ccjIyOhXCUwkEohEIpDL\\\n",
       "5RCLL87fL15//fU4cuQIWlpaLvSl4JFHHsHPf/5zfOMb38C0adPwzjvv4L333sObb76Jr371q0M+\\\n",
       "NpFIYN68eTh48CB++MMfIiMjAy+++CLa2tqwd+9elJeX82MXLFiAvXv3Ytq0aThw4ADGjx9/WlXc\\\n",
       "AwcOYNKkSdi+fTtmzZp1pi/3rNTU1GDMmDHYsGEDrrrqqgtyDYQQMlJQICSEkGHw+/3QaDQX+jIu\\\n",
       "iMEC4aXgYgmEHR0dKCkpwX333YcXXngBACAIAubPn4/m5ma0tLRAIpEM+vjVq1fj1ltvxZo1a/CV\\\n",
       "r3wFANDb24uKigpce+21eOONN/ixbW1tyMvLg1gsPqPP7oEHHsDatWvR0tICkUh0Zi/4HKiursak\\\n",
       "SZPwl7/85YJdAyGEjAQX5690CSHkPOro6MC9996L3NxcKBQKlJSUYOXKlYhEIgCAV199FSKRCJs3\\\n",
       "b8a3v/1tZGZmIj8/nz/+xRdfxNixY6FQKJCbm4v7778fLpcr5Tnq6+vx5S9/GdnZ2VAqlcjPz8dX\\\n",
       "v/pVuN1ufszHH3+MuXPnwmg0QqvVorKyEj/+8Y9Pef3DeVw4HMYTTzyBsrIyKBQKFBQU4OGHH0Y4\\\n",
       "HO53vr/+9a+YPn061Go1TCYTrrjiCnz00UcAgOLiYhw9ehSbN2+GSCRKWYI42B7CNWvWYMqUKVCp\\\n",
       "VMjIyMDtt9+Ojo6OlGPuvvtuaLVadHR0YPny5dBqtbBarfjBD36AeDx+yvfgnXfewdKlS/lnOGrU\\\n",
       "KDz11FMpj12wYAHee+89tLa28msvLi4e9Jx33303Py79z09/+tNTXtOprjcajeLb3/42v00kEmHl\\\n",
       "ypVob2/Hjh07hnz83/72N2RlZeGmm27it1mtVtxyyy145513Uj7XgoKCs6rYrl27FldddVW/MDjY\\\n",
       "+1BcXIy7776b/53997N161Z873vfg9VqhdFoxDe/+U1EIhG4XC7ceeedMJlMMJlMePjhhzHQ76YX\\\n",
       "L16Md999d8D7CCGEnDvSC30BhBDyRers7MT06dP5fqyqqip0dHTgb3/7GwKBAORyOT/229/+NqxW\\\n",
       "Kx5//HH4/X4AwE9/+lM8+eSTWLRoEVauXIna2lr87ne/w+7du7Ft2zbIZDJEIhEsWbIE4XAY3/3u\\\n",
       "d5GdnY2Ojg78+9//hsvlgsFgwNGjR3H99ddj/PjxWLVqFRQKBRoaGrBt27Yhr384j0skErjhhhuw\\\n",
       "detW3HfffRg9ejQOHz6M3/zmN6irq8PatWv5sU8++SR++tOfYvbs2Vi1ahXkcjl27dqFTz75BFdf\\\n",
       "fTWee+45fPe734VWq8VPfvITAEBWVtag1/fqq6/ia1/7GqZNm4ZnnnkGNpsNzz//PLZt24b9+/fD\\\n",
       "aDTyY+PxOJYsWYIZM2bgf/7nf7B+/Xr86le/wqhRo7By5coh34dXX30VWq0WDz30ELRaLT755BM8\\\n",
       "/vjj8Hg8+OUvfwng5D44t9uN9vZ2/OY3vwEAaLXaQc/5zW9+E4sWLUq57YMPPsDrr7+OzMxMfltf\\\n",
       "X9+Q18bodDooFAoAwP79+6HRaDB69OiUY6ZPn87vnzt37qDn2r9/PyZPntwv6E2fPh0vv/wy6urq\\\n",
       "UF1dPazrGkpHRwdOnDiByZMnn/W52M/+k08+iZ07d+Lll1+G0WjE9u3bUVhYiJ/97Gd4//338ctf\\\n",
       "/hLjxo3DnXfemfL4KVOm4De/+Q2OHj2KcePGnfX1EEIIGYRACCEjyJ133imIxWJh9+7d/e5LJBKC\\\n",
       "IAjCn/70JwGAMHfuXCEWi/H7e3p6BLlcLlx99dVCPB7nt7/wwgsCAOGPf/yjIAiCsH//fgGAsGbN\\\n",
       "mkGv4ze/+Y0AQOjt7T2t6x/O41577TVBLBYLn376acrtL730kgBA2LZtmyAIglBfXy+IxWLhS1/6\\\n",
       "UsrrEYTP3wtBEISxY8cK8+fP7/c8GzduFAAIGzduFARBECKRiJCZmSmMGzdOCAaD/Lh///vfAgDh\\\n",
       "8ccf57fdddddAgBh1apVKeecNGmSMGXKlKHfBEEQAoFAv9u++c1vCmq1WgiFQvy2pUuXCkVFRac8\\\n",
       "30Dq6+sFg8EgLF68OOXnAMCw/vzpT39KuY7S0tJ+z+H3+wUAwo9+9KMhr0Wj0Qj33HNPv9vfe+89\\\n",
       "AYDwwQcfDPi4wT67waxfv14AILz77rv97gMgPPHEE/1uLyoqEu666y7+d/bfz5IlS1J+jmbNmiWI\\\n",
       "RCLhW9/6Fr8tFosJ+fn5A17j9u3bBQDC22+/PezrJ4QQcvpoySghZMRIJBJYu3Ytli1bhqlTp/a7\\\n",
       "P32J3De+8Y2UfV3r169HJBLBgw8+mFKp+cY3vgG9Xo/33nsPAGAwGAAAH374IQKBwIDXwipl77zz\\\n",
       "DhKJxLBfw3Aet2bNGowePRpVVVXo6+vjf1hzjo0bNwI4uTQwkUjg8ccf71d5OpO9Y3v27EFPTw++\\\n",
       "/e1vQ6lU8tuXLl2Kqqoq/v4k+9a3vpXy93nz5qGpqemUz6VSqfi/e71e9PX1Yd68eQgEAjh+/Php\\\n",
       "X3s6v9+PL33pSzCZTHjzzTdTfg4+/vjjYf1ZsmQJf0wwGOTVwmTsfQoGg0Nez9k+frjsdjsAwGQy\\\n",
       "nfW57r333pSfoxkzZkAQBNx77738NolEgqlTpw74mbNrGG5FlhBCyJmhJaOEkBGjt7cXHo9n2MvP\\\n",
       "SkpKUv7OZrJVVlam3C6Xy1FaWsrvLykpwUMPPYRf//rXeP311zFv3jzccMMNuP3223lYvPXWW/HK\\\n",
       "K6/g61//On70ox9h4cKFuOmmm/CVr3xlyP1fw3lcfX09ampqYLVaBzxHT08PAKCxsRFisRhjxowZ\\\n",
       "1vtxKoO9PwBQVVWFrVu3ptymVCr7XaPJZILT6Tzlcx09ehSPPvooPvnkE3g8npT7kvdpnqlvfOMb\\\n",
       "aGxsxPbt22GxWFLuS19WOhwqlWrA/ZuhUIjffz4ff7qEc7Bvr7CwMOXv7Ge/oKCg3+0DfebsGi5k\\\n",
       "YxtCCBkJKBASQsggzuZL9q9+9SvcfffdeOedd/DRRx/he9/7Hp555hns3LkT+fn5UKlU2LJlCzZu\\\n",
       "3Ij33nsPH3zwAd5++21cddVV+OijjwbtODmcxyUSCVRXV+PXv/71gOdI/0J+oQzVVXMoLpcL8+fP\\\n",
       "h16vx6pVqzBq1CgolUrs27cP//Vf/3VaFdeBPP/883jzzTfx17/+FRMnTux3f3d397DOYzAY+M9Q\\\n",
       "Tk4ONm7cCEEQUgJOV1cXACA3N3fIc+Xk5PBjkw338cPFwu9wQjkzWHgc7PMd6PaBzsGuISMjY9jX\\\n",
       "Qggh5PTRklFCyIhhtVqh1+tx5MiRM3o8G9JdW1ubcnskEkFzc3O/Id7V1dV49NFHsWXLFnz66afo\\\n",
       "6OjASy+9xO8Xi8VYuHAhfv3rX+PYsWP47//+b3zyySd8SedgTvW4UaNGweFwYOHChVi0aFG/P6yC\\\n",
       "N2rUKCQSCRw7dmzI5xtuhWaw94fddq6GnG/atAl2ux2vvvoqHnjgAVx//fVYtGjRgMscT7e69Omn\\\n",
       "n+IHP/gBHnzwQaxYsWLAY3Jycob15+233+aPmThxIgKBAGpqalLOtWvXLn7/UCZOnIh9+/b1C7u7\\\n",
       "du2CWq1GRUXFab3OwVRVVQEAmpubB7zf6/X2u41VnM81dg3pjXgIIYScWxQICSEjhlgsxvLly/Hu\\\n",
       "u+9iz549/e4/1TK5RYsWQS6X47e//W3KsX/4wx/gdruxdOlSAIDH40EsFkt5bHV1NcRiMV/253A4\\\n",
       "+p2fhYKBlgYyw3ncLbfcgo6ODvz+97/vd2wwGOQdU5cvXw6xWIxVq1b1CxrJr0+j0fQbqzGQqVOn\\\n",
       "IjMzEy+99FLKa1i3bh1qamr4+3O2WIUp+RojkQhefPHFfsdqNJphLyHt6urCLbfcgrlz5/JOpQM5\\\n",
       "kz2EN954I2QyWco1CoKAl156CXl5eZg9e3bKdRw/fhzRaJTf9pWvfAU2mw3/+Mc/+G19fX1Ys2YN\\\n",
       "li1bNuD+wjORl5eHgoKCAf/7ANBvxMi6desQCoXOy2iIvXv3wmAwYOzYsef83IQQQj5HS0YJISPK\\\n",
       "z372M3z00UeYP38+H8nQ1dWFNWvWYOvWrSljEdJZrVY88sgjePLJJ3HNNdfghhtuQG1tLV588UVM\\\n",
       "mzYNt99+OwDgk08+wXe+8x3cfPPNqKioQCwWw2uvvQaJRIIvf/nLAIBVq1Zhy5YtWLp0KYqKitDT\\\n",
       "04MXX3wR+fn5Q44fGM7j7rjjDqxevRrf+ta3sHHjRsyZMwfxeBzHjx/H6tWr8eGHH2Lq1KkoKyvD\\\n",
       "T37yEzz11FOYN28ebrrpJigUCuzevRu5ubl45plnAJxs//+73/0OTz/9NMrKypCZmckb1CSTyWR4\\\n",
       "9tln8bWvfQ3z58/HbbfdxsdOFBcX4/vf//6ZfmwpZs+eDZPJhLvuugvf+973IBKJ8Nprrw0YSqZM\\\n",
       "mYK3334bDz30EKZNmwatVotly5YNeN7vfe976O3txcMPP4y33nor5b7x48dj/PjxAM5sD2F+fj4e\\\n",
       "fPBB/PKXv0Q0GsW0adOwdu1afPrpp3j99ddTllE+8sgj+POf/4zm5mY+N/ErX/kKZs6cia997Ws4\\\n",
       "duwYMjIy8OKLLyIej+PJJ59Mea4tW7Zgy5YtAE7um/X7/Xj66acBAFdccQWuuOKKIa/1xhtvxD//\\\n",
       "+c9+y1sBoKamBtdddx1uuOEGdHZ24vnnn4fBYMD27dvx5ptv4rbbbjvt92YwH3/8MZYtW0Z7CAkh\\\n",
       "5Hy7EK1NCSHkQmptbRXuvPNOwWq1CgqFQigtLRXuv/9+IRwOC4Lwedv8gUZTCMLJMRNVVVWCTCYT\\\n",
       "srKyhJUrVwpOp5Pf39TUJNxzzz3CqFGjBKVSKZjNZuHKK68U1q9fz4/ZsGGDcOONNwq5ubmCXC4X\\\n",
       "cnNzhdtuu02oq6sb8tqH+7hIJCI8++yzwtixYwWFQiGYTCZhypQpwpNPPim43e6UY//4xz8KkyZN\\\n",
       "4sfNnz9f+Pjjj/n93d3dwtKlSwWdTicA4CMC0sdOMG+//TY/n9lsFlasWCG0t7enHHPXXXcJGo2m\\\n",
       "3+t74oknhOH8X9O2bduEmTNnCiqVSsjNzRUefvhh4cMPP+x3PT6fT/iP//gPwWg0CgCGHEExf/78\\\n",
       "QUdIDDRu4XTF43HhZz/7mVBUVCTI5XJh7Nixwl//+td+x7GRHM3NzSm3OxwO4d577xUsFougVquF\\\n",
       "+fPnD/gzyt7DM30d+/btEwD0G1sCQHjooYeEm2++WVCpVEJOTo7wwgsvCC+99JKgVquFr3/964Ig\\\n",
       "DP7fD7uu9JEpA/0s1NTUCABS/pshhBByfogE4Tys8yCEEELIJWvhwoXIzc3Fa6+9xm8TiUR44okn\\\n",
       "8NOf/vS8P/+DDz6ILVu2YO/evVQhJISQ84z2EBJCCCEkxc9+9jO8/fbbfJTIF8lut+OVV17B008/\\\n",
       "TWGQEEK+ALSHkBBCCCEpZsyYgUgkckGe22KxwOfzXZDnJoSQkYgqhIQQQgghhBAyQlGFkBBCCCGn\\\n",
       "RC0HCCHk8kQVQkIIIYQQQggZoSgQEkIIIYQQQsgIRUtGCSGXpEQigc7OTuh0OupESAhJIQgCvF4v\\\n",
       "cnNzIRaf/u++N2zYgLq6utN6TEVFBRYuXHjaz0UIIRcaBUJCyCWps7MTr7zyyoW+DELIRerJJ59E\\\n",
       "W1sb8vPzT+txGzZswKJFi87oOdevX0+hkBByyaFASAi5JOl0OgCg6iAhZFDsfydOx+lWBtMfO9xA\\\n",
       "aLFY4HA4+N8VCgVCoRAA4PDhwxg/fny/x9x5553485//fMbXRwghA6E9hISQSxIFQULIqZzt/06I\\\n",
       "RKJh/TkTLPzJ5fJ+933yyScAAJlMhhkzZiAnJwcA8Je//OUMXwkhhAyOAiEhhBBCSJrhhsEzDYV+\\\n",
       "vx+CICAcDve774EHHoAgCIhEIti5cyc6OztRWFgIALjpppvO+rURQkgyWjJKCCGEEJLmdIOeIAjY\\\n",
       "tGlTym3V1dWYO3fuObkep9MJAFi8ePE5OR8hhDAUCAkhhBBC0pxJ5W/16tVYvXp1ym2CIJz1tWzY\\\n",
       "sAFerxcAsHLlyrM+HyGEJKNASAghhBCS5kwC4S233IIFCxbwv1dXV5/1dRw+fJh3PX3xxRfP+nyE\\\n",
       "EJKOAiEhhBBCSJozCYQLFiw4pxW85G6jjz32GFUHCSHnBTWVIYQQQgi5yCSHwYceegirVq26wFdE\\\n",
       "CLlcUSAkhBBCCElzvruMvvbaa6isrERlZSUAIBwOo7KyEjfddFNKGKysrITP58M3v/lNfPOb38Tu\\\n",
       "3bvP6eskhBBaMkoIIYQQkuZsZgwOxwMPPMA7hzJ1dXWoq6vjMwoBoLa2FrW1tfzva9asSRloTwgh\\\n",
       "Z4sCISGEEEJImvMdCCnUEUIuFhQICSGEEELSnO9ASAghFwsKhIQQQgghaSgQEkJGCmoqQwghhBBC\\\n",
       "CCEjFFUICSGEEELSUIWQEDJSUIWQEDJsP//5zyESifDggw8OedyaNWtQVVUFpVKJ6upqvP/++yn3\\\n",
       "C4KAxx9/HDk5OVCpVFi0aBHq6+vP45UTQsjpOd9jJwgh5GJBgZAQMiy7d+/G//t//4/PxhrM9u3b\\\n",
       "cdttt+Hee+/F/v37sXz5cixfvhxHjhzhx/ziF7/Ab3/7W7z00kvYtWsXNBoNlixZktJqnRBCLiQK\\\n",
       "hISQkYICISHklHw+H1asWIHf//73MJlMQx77/PPP45prrsEPf/hDjB49Gk899RQmT56MF154AcDJ\\\n",
       "6uBzzz2HRx99FDfeeCPGjx+Pv/zlL+js7MTatWu/gFdDCCGnRoGQEDJSUCAkhJzS/fffj6VLl2LR\\\n",
       "okWnPHbHjh39jluyZAl27NgBAGhubkZ3d3fKMQaDATNmzODHDCQcDsPj8aT8IYSQ84UCISFkpKBA\\\n",
       "SAgZ0ltvvYV9+/bhmWeeGdbx3d3dyMrKSrktKysL3d3d/H5222DHDOSZZ56BwWDgfwoKCk7nZRBC\\\n",
       "CCGEkAFQICSEDKqtrQ0PPPAAXn/9dSiVygt6LY888gjcbjf/09bWdkGvhxByeaMKISFkpKCxE4SQ\\\n",
       "Qe3duxc9PT2YPHkyvy0ej2PLli144YUXEA6HIZFIUh6TnZ0Nm82WcpvNZkN2dja/n92Wk5OTcszE\\\n",
       "iRMHvRaFQgGFQnG2L4kQQoaFgh4hZKSgCiEhZFALFy7E4cOHceDAAf5n6tSpWLFiBQ4cONAvDALA\\\n",
       "rFmzsGHDhpTbPv74Y8yaNQsAUFJSguzs7JRjPB4Pdu3axY8hhJCLAVUHCSEjAVUICSGD0ul0GDdu\\\n",
       "XMptGo0GFouF337nnXciLy+P7zF84IEHMH/+fPzqV7/C0qVL8dZbb2HPnj14+eWXAYDPMXz66adR\\\n",
       "Xl6OkpISPPbYY8jNzcXy5cu/0NdHCCGDOZ2wR6GQEHIpo0BICDkrJ06cgFj8+WKD2bNn44033sCj\\\n",
       "jz6KH//4xygvL8fatWtTguXDDz8Mv9+P++67Dy6XC3PnzsUHH3xwwfcpEkIIQ4GQEDJSUCAkhJyW\\\n",
       "TZs2Dfl3ALj55ptx8803D3oOkUiEVatWYdWqVef46ggh5NygQEgIGSloDyEhhBBCCCGEjFBUISSE\\\n",
       "EEIISUMVQkLISEGBkBByWZPJZMjNzb3Ql0EIOYc6OzsRjUbP63NQICSEjBQUCAkhl7Xc3Fzcfffd\\\n",
       "F/oyCCHn0KuvvorW1tbz+hwUCAkhIwUFQkIIIYSQNBQICSEjBQVCQgghhJA0FAgJISMFdRklhBBC\\\n",
       "CCGEkBGKKoSEEEIIIWmoQkgIGSkoEBJCCCGEpKFASAgZKSgQEkIIIYSkoUBICBkpKBASQgghhKSh\\\n",
       "QEgIGSkoEBJCCCGEpKFASAgZKajLKCGEEEIIIYSMUFQhJIQQQghJQxVCQshIQYGQEEIIISQNBUJC\\\n",
       "yEhBgZAQQgghJA0FQkLISEGBkBBCCCEkDQVCQshIQYGQEEIIIWQAFPQIISMBdRklhBBCCCGEkBGK\\\n",
       "KoSEEEIIIWloySghZKSgQEgIIYQQkoYCISFkpKBASAghhBCShgIhIWSkoEBICCGEEJKGAiEhZKSg\\\n",
       "QEgIIYQQkoYCISFkpKBASAghhBCShgIhIWSkoLEThBBCCCGEEDJCUYWQEEIIISQNVQgJISMFBUJC\\\n",
       "CCGEkDQUCAkhIwUtGSWEEEIIScMC4XD/nC6LxZLyeKVSmXJ/MBjs9xxz5849Vy+PEEI4CoSEEEII\\\n",
       "IWnOdyAMhUIAALlcPuD9arUaAKBQKFBVVQUA2LZtGzZs2HCGr4gQQgZGgZAQQgghJM35DoR+vx+C\\\n",
       "ICAcDve7LxgM8n8PhUKoqanBc889BwC45pprzvg1EULIQCgQEkIIIYRcRJYtWwYAqKio4Lc98MAD\\\n",
       "AIBYLHZBrokQcvmipjKEEEIIIWnOpKnMpk2bUm6vrq4+o31/R44cAQDaM0gI+UJQICSEEEIISXMm\\\n",
       "gXD16tVYvXp1yn2CIJzzayOEkHOJAiEhhBBCSJozCYS33HILFixYwG+vrq4+o+ceN24cbDYbtm7d\\\n",
       "ekaPJ4SQ00GBkBBCCCEkzZkEwgULFmDlypVn/dzvvvsu1Go16urq+G2/+93vAABSKX11I4ScW/S/\\\n",
       "KoQQQgghac73YPrXXnsNTz/9NP97OBxGZWUlxo4di3/84x/8dpVKhdLSUhw7dgwA8MEHH5z2cxFC\\\n",
       "yFAoEBJCCCGEfMEeeOABOJ3OlNvq6up4VTAQCECtViMUCvEwOGvWLCxcuPALv1ZCyOWNAiEhhBBC\\\n",
       "SJrzXSF0OBxD3q9SqaghDSHkC0GBkBBCCCFkAGcS9Agh5FJDgZAQQgghJM35rhASQsjFggIhIYQQ\\\n",
       "QkgaCoSEkJGCAiEhhBBCSBoKhISQkYICISGEEEJIGgqEhJCRQnyhL4AQQgghhBBCyIVBFUJCCCGE\\\n",
       "kDRUISSEjBQUCAkhhBBC0lAgJISMFBQICSGEEELSUCAkhIwUFAgJIYQQQtJQICSEjBQUCAkhhBBC\\\n",
       "0lAgJISMFNRllBBCCCGEEEJGKKoQEkLIRWzKlCmIRqMIBoMAgIqKCvznf/4n5s6dC7lcPujj4vE4\\\n",
       "fD4f+vr6IJFIkJmZCZVKdVFWMgRBQDQaRSQSAQCIxWKIRCLE43FEIhGEQiF4PB60tbXh4MGDOHTo\\\n",
       "EE6cOIH29nbYbDYEAgEkEomUc4pEIlgsFvzxj3/EtddeC6lU2u85w+EwOjs7cejQIfT19UGpVEKr\\\n",
       "1aKvrw9/+9vf8OmnnyIQCKQ8TiqVIisrC2PGjIEgCKipqUFPTw9isRgEQRjW6xWLxZBKpbBarZgx\\\n",
       "YwbmzZsHi8WCtrY2rFu3DgcOHIDf7x/2+QYjlUphsVhQVFSEeDyO7u5ueL1euN3uszrvSEEVQkLI\\\n",
       "SEGBkBBCLmIqlQoSiYQHHrVaPWQQZEQiERQKBcxmM8RiMWQy2fm+1LOSfI3JX65ZMPT7/bDZbGhp\\\n",
       "aUFnZycPNQqFAuFwGIIg9AtQIpEIEolkyOeNRqPweDyw2+1QKpWIxWJwu90IBAIDBjIWJB0OBwRB\\\n",
       "QDAYRCKROK3wJggCEokE/H4/WlpaYDabkZeXh97eXvh8vrMOgsnPEwqF0NHRgUgkAr/fj2g0ek7O\\\n",
       "PRJQICSEjBQUCAkh5CJWXFyMcDgMn88HiUSC0aNHw2q1nvILqEgkglwu55UxiURy0X5pFYlEvCrI\\\n",
       "rpGFIrFYjGg0ir6+Phw/fhw1NTXo6upCPB6HVquFTqdDb28v7HY7YrEY4vE4f5xSqYRSqRz0eWOx\\\n",
       "GBwOB5qbm9Ha2gqFQgGLxQK32w2Hw8HPlY5VLgcKocOVSCQQCATQ3NwMr9cLi8WCaDTKq43nSiQS\\\n",
       "gdPpRDQaRTweP2dhcySgQEgIGSkoEBJCyEXs+uuvRywWQyQSgVKpRFlZGbKysiAWD70FnH1BZRWy\\\n",
       "i/0Lq1gshiAI/QIhC7RutxsdHR2w2+0IhULQ6XQYN24cpk2bBpVKhb1796K+vh6HDx+G3++HVCpF\\\n",
       "QUEBdDrdgM+XSCTg9Xpx8OBB7Ny5E11dXZDJZDAYDAiHw+jr6xswEIrFYmg0GhQWFkKlUiEWiyEU\\\n",
       "CiEcDvdbtjoY9tpisRg8Hg8CgQA6OzshEokQi8VOufw0/T0aiEQigUwmg0gkQjQaPa0lreQkCoSE\\\n",
       "kJGCAiEhZFDPPPMM/vGPf+D48eNQqVSYPXs2nn32WVRWVg75uDVr1uCxxx5DS0sLysvL8eyzz+K6\\\n",
       "667j9wuCgCeeeAK///3v4XK5MGfOHPzud79DeXn5+X5Jl5xFixYB+Hz5o1wu51/0kwPUQC61L6np\\\n",
       "S0XZMlK1Wg21Wg2lUgmNRgOZTIbKykrcdtttmDZtGrRaLb761a8iFAph//79+Pe//w2bzYbq6mro\\\n",
       "dDq+pDM5SAWDQezatQtr1qzB0aNHEQwG+fMJggCfzzfgvkSFQoHx48fjP/7jP5CVlYWDBw/ir3/9\\\n",
       "K44fP37aoZAFtEQigUgkwj/TU71Hye/TQMtkZTIZzGYzzGYz3G43ent7h3VNJBUFQkLISEGBkBAy\\\n",
       "qM2bN+P+++/HtGnTEIvF8OMf/xhXX301jh07Bo1GM+Bjtm/fjttuuw3PPPMMrr/+erzxxhtYvnw5\\\n",
       "9u3bh3HjxgEAfvGLX+C3v/0t/vznP6OkpASPPfYYlixZgmPHjg25xG8kMpvN/N8H+tKZSCT6Bakz\\\n",
       "daqAeTbnTV4COlwikQhSqRQ6nQ5lZWWYOXMmjEYj5HI5Zs2ahenTp8NgMPDlpjqdDgsXLsSMGTNg\\\n",
       "s9kQCoWgVqsRjUb5kllBEBAIBLBp0yb84he/wJEjRxAMBvn1sdc/0L5AqVSK3NxcrFixAldffTXU\\\n",
       "ajUmTJiA4uJiPPvsszh8+DBCodBpV+LY8cN9HHsdA4VB9oub//iP/4Barcb777+Pd999F263myqE\\\n",
       "hBBCBkSBkBAyqA8++CDl76+++ioyMzOxd+9eXHHFFQM+5vnnn8c111yDH/7whwCAp556Ch9//DFe\\\n",
       "eOEFvPTSSxAEAc899xweffRR3HjjjQCAv/zlL8jKysLatWvx1a9+9fy+qEvMYAFKEATE4/GUPXPs\\\n",
       "z+mGOtbkJJFInPE5BpNIJBCNRhGNRiGVSiGXy087FCqVSuTn50OtVmPSpElQKBSwWq3Q6XQp18oC\\\n",
       "pMFggEajgd/vh8/ng8PhgFwuh0gkgsvlwvvvv4+XX34ZTU1NiEajw6rqsergrFmzMHfuXBiNRkgk\\\n",
       "EigUClx55ZVwOBx49tln0draet4atyTvtRwoDGq1Wtx+++14+OGHkZmZiXg8jtzcXNTV1WH//v18\\\n",
       "3yMZHqoQEkJGCgqEhJBhY50dk6tW6Xbs2IGHHnoo5bYlS5Zg7dq1AIDm5mZ0d3fzpZAAYDAYMGPG\\\n",
       "DOzYsWPQQBgOhxEOh/nfPR7Pmb6MywIb1RAIBHjYUiqVUCgUkEgkww5d7Dwejwc+nw9arRYGgwFS\\\n",
       "qfSsv+QmEgn4fD40NzfD4XCguLgYeXl5w+qSyrAQxLqrZmRk8OWzg71GFgyVSiXcbjdqamrQ3NzM\\\n",
       "x1bs378ffX19pz0qwmg04sorr0RGRgavOEokEuh0Olx55ZXYvHkzbDbbedmvx14TW9IajUZTqpp6\\\n",
       "vR7f/OY38YMf/ABms5mHxtGjR+Paa69Fe3s7ent7z2nDmssdBUJCyEhBgZAQMiyJRAIPPvgg5syZ\\\n",
       "w5d+DqS7uxtZWVkpt2VlZaG7u5vfz24b7JiBPPPMM3jyySdTbnviiSdO6zVcTlgocLvdcLlcEIlE\\\n",
       "MJlMMJvNUKvVQ36ZTd+7duLECWzYsAHNzc2oqqrCNddcg+zs7CFHNiQHnoGehy3N3LFjB1avXg2P\\\n",
       "x4OlS5di+fLlfA/kQFjVMzn0sdcik8kglUr5ckm2rJNVNZOxx0ciEezevRsfffQR2tra4Ha7EQwG\\\n",
       "T6vjJgtjOTk5qK6u5tVGhs15XLhwITZv3oxAIDBoh9LTxV6HWq1GVlYWjEYjH8ERCAQgEomQlZWF\\\n",
       "+++/H1/72tdgNBpT3guNRoMFCxbg6NGj2Lt3L80gPA0UCAkhIwUFQkLIsNx///04cuQItm7dekGe\\\n",
       "/5FHHkmpPHo8HrzyyisX5FoutOT9Y6xTJet0yapIAy37ZCEqFoshGo0iFAqhqakJb7/9Nj766CO4\\\n",
       "3W7k5eVBpVJh2bJl0Gq1g4a95DA20DHRaBQNDQ344x//iB07dvA9fldddRX0ev2A1xYKhXDs2DHU\\\n",
       "1taiqKgI1dXV0Gq1POAkPyYejyMUCvHuqyqVasBrEYlEcDgc6O7uhtvtRjQaTZlPmL4Xj4WA5DEd\\\n",
       "IpEIBoMBs2fPRn5+fr+gzJa1Tp48GSUlJejt7eXnZedjfx8ohCYfw66J3a5QKFBcXIyrrrqK75ns\\\n",
       "6enBsWPH0Nvbi5ycHCxbtgxTpkyBWq1OCYMsyJaUlODGG29ETk7OkL90If1R0COEjAQUCAkhp/Sd\\\n",
       "73wH//73v7Flyxbk5+cPeWx2djZsNlvKbTabDdnZ2fx+dltOTk7KMRMnThz0vAqFAgqF4gxfweUn\\\n",
       "uXLEOmnGYjGEw2HEYjHI5fJ+nTXj8TgCgQAcDgd6e3vR0dGBTZs24eOPP0ZHRwff67dt2zbMnTsX\\\n",
       "arW6X/hh52HD4JO7njJspMOWLVuwf/9+uFwuSKVSdHV1IRQKDfh6YrEYNm3ahMcffxxdXV0oKyvD\\\n",
       "qlWrMHPmzH5LTNlw+NbWVrS2tiI7OxuVlZVQKpUpS11FIhHUajVyc3NhNBp5J0+1Wg0A8Hq98Hg8\\\n",
       "vDsom12YmZmJ4uJi6PV6Pt9w9OjR+OpXvwqDwTBgSJBIJMjLy8Ps2bNRW1sLl8sFQRB4VZN9Nskd\\\n",
       "T9lnKJVKIZVK+X5LViFVq9WYPXs2vvWtb2HSpEk8HEejUSxduhSCIECj0fDOqwNdl1gshl6vx8SJ\\\n",
       "E2GxWODz+U7jp2xkowohIWSkoEBICBmUIAj47ne/i3/+85/YtGkTSkpKTvmYWbNmYcOGDXjwwQf5\\\n",
       "bR9//DFmzZoFACgpKUF2djY2bNjAA6DH48GuXbuwcuXK8/EyLjvJSyj1ej0kEgkMBgMSiQSUSuWA\\\n",
       "1abkJaatra04fvw4Tpw4gdraWj5ige3Xi0QifFllctWNVQaDwSDsdjsEQYDZbIZYLE6puEWjUdjt\\\n",
       "dtTV1cHv9/OmLWx/YzpBEOByufDiiy/i2LFjiEajCIfD2LlzJyZPntwv7MTjcfT09OCDDz7AoUOH\\\n",
       "UFlZCZPJhMzMTGg0Gv76xWIxtFotJk+ejLa2NvT29qKwsBBTp05FTk4OYrEYuru70dTUBIfDAa1W\\\n",
       "i8rKSowdOxYZGRmQSqXw+Xx87mFGRsag+x/Zc1133XWoqanBkSNHIAgCjEYj1Go1nE4nX+aZSCQg\\\n",
       "lUqh0WhgtVqRn58Pi8UCv9+PlpYWOJ1OyOVyzJ49GytXrsTYsWP55zrYz8JggYRVGS0WC8Ricco+\\\n",
       "XEIIIQSgQEgIGcL999+PN954A++88w50Oh1fbmYwGKBSqQAAd955J/Ly8vDMM88AAB544AHMnz8f\\\n",
       "v/rVr7B06VK89dZb2LNnD15++WUAJ7+gPvjgg3j66adRXl7Ox07k5uZi+fLlF+R1XorYckC1Wg2F\\\n",
       "QgG9Xs/3rSWHs/Qh5mKxGHK5HCqVCiaTCQUFBfD5fFAoFBAEAQUFBZg4cSJUKlW/JY6CICASiaCn\\\n",
       "pwdHjx5FJBJBRUUFCgsL+XLFRCKBcDjMh8Or1Wo+/iE3N3fQKq/dbuddP1nwTA6TydcQCASwefNm\\\n",
       "/OMf/0BPTw+6urowffp0vnQ0ORzJ5XIUFxfj6quvhkgkQnl5Ob+O9KWcLBAnh+CMjIyUit5QlSCZ\\\n",
       "TIZx48bh29/+Nvbs2YNwOAytVgtBENDU1ISjR4+ip6cHgiAgIyMD48aNw6xZs1BZWQmDwYBwOIzG\\\n",
       "xkYcO3YMYrEYc+fORVVV1aDLYYczJiR5fqVcLj9vHVAvR1QhJISMFBQICSGD+t3vfgcAWLBgQcrt\\\n",
       "f/rTn3D33XcDAE6cOJGyb2n27Nl444038Oijj+LHP/4xysvLsXbt2pRGNA8//DD8fj/uu+8+uFwu\\\n",
       "zJ07Fx988AHNIDwN7AuoRCKBRCKBTCbjoyOA/nvj2LFarRaFhYXQ6/UIh8OYPHkyOjs70dXVhUQi\\\n",
       "gcLCQowbN47v80s+B1tyWldXh48//hg9PT0oLS3FFVdcgdGjR0On00EikSAajUKhUKCyshI1NTUQ\\\n",
       "iUTQaDSwWCwDXldyNY+9Dp1OB6vV2u+LdiKRQEtLC9544w3U1NSkVBN1Oh2vhCWHPYVCgZKSEuj1\\\n",
       "emRkZEChUAy7C+vpfNEXi8XQ6XSYPn06Kioq+L5Ol8sFs9kMuVyOzs5OSCQSVFVVYcGCBaiqquJd\\\n",
       "XROJBIqLizF69Gi4XC5YrdYhG/ukfz5DVQkBIBgMwmazobq6etivaSSjQEgIGSkoEBJCBjWcLoyb\\\n",
       "Nm3qd9vNN9+Mm2++edDHiEQirFq1CqtWrTqbyxvx0gfSswoX26eW3JyE3adSqSCXy2E0GlOazITD\\\n",
       "YcTjcchkMiiVypROmuw88Xgcfr8fx44dw86dO9Hd3Y3du3dj9+7dmDt3LqZNm8aDl1qtxujRo9HU\\\n",
       "1ASfz4dwOIwTJ06goaEBRqMRGo0mJZSZzWYsWrQIbrcb4XAYY8aMwdixYyGTyVJeczQaxZYtW3Do\\\n",
       "0CH4/X4IggCn04ktW7ZApVKhpKQEJpOJ77Xzer3wer1QKBQwGAynPQfxdEkkEmg0GigUCsRiMUQi\\\n",
       "EWg0Gv7vOp0OUqkU48aNQ2lpKUwmU8p7LZV+/n/LgUAAHo+Hz28crMFP8uc8ULdV4ORnZ7PZsH//\\\n",
       "fixevPh8vfwvzIoVK1BWVnZen4MCISFkpKBASAghl4nkZioD3ceWQyaHDiB1MD07dqDOl/F4HE6n\\\n",
       "E0ePHkV7ezvcbjcEQeDLPffv34+lS5dixowZMBgM0Ol00Gq1CIVC6O7uht1uh8PhwF133YUrr7yS\\\n",
       "j0hgc/TuvvtulJWVwW63Y8yYMRg3blzK/kHWTGb//v3w+Xx8iWwkEkFtbS0AoLS0FOPGjYNUKoXT\\\n",
       "6URXVxcAoLy8nHdfPd/Ye8z2ViYSCeTk5CAcDkMikSAej/PxIOw4hg27j0QiOHr0KBoaGlBVVYWi\\\n",
       "oiIeotP3dLJGNDKZbNDXGI1G0djYiG3btp3313+5oEBICBkpKBASQshlhAW/9LEHAAYNQ8n759jf\\\n",
       "0++PxWLw+/1obm5GY2Mj/H4/3+/HKoxszx9rztLb24v6+no+/y+RSMBms6G2thbf+973sGLFCt61\\\n",
       "UyaTobi4mDd7kclkAy7tZF0zWZBi1+r3+9HQ0IA//elPKCgoQDweh9vthlgsxvjx41FWVpbSgfR8\\\n",
       "Sa7YsWtXqVR8uaxEIuEVy8FGdohEIvT19WHDhg3o7u5GcXExrr/+esycORNGo5EvI2XVXZ/Ph0Ag\\\n",
       "AJVKxaug6dXjaDSK1tZW1NfXn9fXfzmhQEgIGSkoEBJCyGUmvVI4nMYj7J8sHCZXDVkYbGxsxKef\\\n",
       "forOzk7EYrGUhiyCIMDj8eDo0aPYsmULfD4fTpw4gT179sDlcvHj4/E4Wltb8frrr2PevHkYO3Ys\\\n",
       "r1iyEQ3p15X8d6VSiVtvvRV1dXXYv38/QqEQxGIxFAoF4vE4jh49igMHDvB5g2azGbm5ubwxS7rk\\\n",
       "15neUCb9uFO9l+xcbOg9Ox9bpspGTPT29kKhUPClveni8TgaGxuxb98+2Gw21NTU8Ern7Nmz+fgJ\\\n",
       "1vG1p6cH7e3t0Gg0qKyshNls7rf3UCqV8tmNZHgoEBJCRgoKhIQQchk63S+oyWEQ+LzSFYlE4HK5\\\n",
       "UF9fjw0bNmDr1q18xl76HkM2f/Do0aMIBAI4ceIEuru7eUBix7IgM1CXzFNdt0wmw5QpU/Dyyy/j\\\n",
       "+PHjqK+vR0tLC+rq6mC329Ha2gqPx4NoNMr3TJpMJuh0ugEDYTweh9frhd/vh0aj4Y1x2HWwQMy6\\\n",
       "c8rl8iErjWxGIztWIpH0C4VisRiBQIDv20x+PuDk8s6GhgbYbDZ+bYcOHcLHH3+MvLw8lJSU8I6h\\\n",
       "vb292L9/P/bv3w+lUolEIsGH1CcHfY1Gg4qKCmRkZKCpqWnI95gQQsjIQoGQEEIIAKQEPBYQ/X4/\\\n",
       "6uvr8dFHH2HLli1ob2/nA97Z/rj0JacejwdtbW3o6elBLBZLeQ6xWAy1Wo2rrroKhYWFp72nj83V\\\n",
       "y8/PR25uLq644goEAgHU19fj+PHjePXVV3H48GE+689qtWL8+PF8GH0yQRAQDAZRV1fHO6YWFxdD\\\n",
       "qVTy5aherxcNDQ04cuQIpFIpJk+ejJKSEj62IlkikUAoFILL5YJEIoFer08ZGcH+GAwGRCIReL1e\\\n",
       "Pq6DVUZZCHc4HIhEIojH4zxoHz9+HMePH+dNe7xeL3bv3o13330XtbW1kEqliMViKCgoQEFBAT+n\\\n",
       "SCSCSqXC7Nmz0dnZic8+++y03vORiiqEhJCRggIhIYRcwoazlPF0JY9sCAaDaG1tRV1dHfr6+ngY\\\n",
       "ZN0/kwOhXC6HTqeDXq+HTqfj1UVWZROLxTAajfjKV76CBx98kO8fPNNrZCM35HI5JkyYgPLycqhU\\\n",
       "KvzhD39Ac3Mz1Go1FixYwLuVDjTHLxKJwOl0wul0IhQK8dfDlpG2tLTg9ddfx5YtWyAIAubPn49v\\\n",
       "fetbKCkpSakUsoY3HR0dqKurg0qlQmVlJbKzs/nyTVYhlMlkCIfD6O7uhtvtRlFREYxGIx+5EYlE\\\n",
       "+AgOdv5YLIbu7m4cPHiQN+xpbGzEv/71L+zZs4d3I926dStmz54Nq9XKwyabWVlYWIjbb78djz76\\\n",
       "6Jn+aIwoFAgJISMFBUJCCLmEJYe30/1SOtRjkkdVSCQSqFQq6PV6vg8w+RysWYper0dRURGqqqqQ\\\n",
       "lZWFUCiElpYWnDhxArFYDKNGjcINN9yAWbNmQa/XDzlj73SwMCqTyXD11VcjJycHu3fvhkgkwvTp\\\n",
       "02G1WgesRLI9icXFxbBYLMjKyuoX8jweDxoaGtDe3o5oNIpIJILCwkLceuutyMjIgEQi4cGyqakJ\\\n",
       "f//737F3714YjUZcf/31WLRoUUqTF5FIhHg8jpaWFmzZsgXhcBjl5eWYM2cOSktLebOZ8ePHY9u2\\\n",
       "bWhqakI0GkUikYDdbsfOnTvh9/uhUqlQU1ODgwcPwm63IxaLQSqVoqurC3v27MHEiRN5FZP9USgU\\\n",
       "yMvLOyfv+UhAgZAQMlJQICSEkEvcmXwZZaMKpFJpvz1s7Jxspl5paSnmzp2L/Px8uN1uRCIRxGIx\\\n",
       "hEIhhEIhiEQimEwmlJeXo7q6GsXFxTzwxWIxxGIxPgeQjVo411+g2Zd3nU6HKVOmoKysDOFwGFqt\\\n",
       "FkqlctBunkqlEkVFRYhGo7zpS/L5DAYDMjIyIJVKEQqF0NPTg7Vr10Kj0eCqq66C2WxGNBpFXV0d\\\n",
       "/vSnP2Hjxo1wuVxQKpXw+XwoKytDdXV1yhgPl8uF9evXY8OGDXzv4r59+3DHHXdg/PjxUCqVmD17\\\n",
       "Nn+u1tZWhEIhvmzUZrNBoVDA6XSmNOwBTu5h7OzsRGdnJ0wmU8qoioHmFJLBUSAkhIwUFAgJIWSE\\\n",
       "SSQSaG9vh9PpRFFREUwm04BfaNl+v1GjRiEzM5PvaQuHw3C73ejp6YHT6YRSqURJSQlKSkqQkZEx\\\n",
       "4EiF5FAyXGdS9RSLxVAqlbyrJrttsHNJJBIolUrIZLKUxjfs3y0WC+bMmYPm5mbU1dUhHA6jvr4e\\\n",
       "v//977F3715UVVUhGAxi69atvKNqPB6H3+/H7t27sWXLFpSVlUGr1QI4Gdjq6uqwZcsWtLW1IR6P\\\n",
       "w+FwIBwOY9SoUaisrOSV1ttuuw16vR6vv/466urqEAwGEYlEEAgEIJfLU7qjsnDLxk44nU54vV7I\\\n",
       "5fJBh9qToVEgJISMFBQICSFkhInH4/j3v/+NxsZG3HDDDZgzZw4UCkW/49hSTKPRyPf7sSWPoVCI\\\n",
       "hw61Wo3MzExoNBpe/TvbL8gDjWMYLrZnjo1mSCQS/L7Blo6yamYkEkEikUhZZjlt2jSEQiG8++67\\\n",
       "OH78ODweD+rr69Ha2gqNRsOXlvp8vpRxHC6XC9u3b8eyZct4c5lQKISDBw+iq6sLkUiE71f0er2w\\\n",
       "2+2QSqW8I2l+fj6WL18Ot9uNV155BcFgkHdsZdfGBtErlUpkZGSgrKwMxcXFkEgkCIVCiEQi/T6T\\\n",
       "s3lvLxavvvoqWltbL/RlEELIZYECISGEXMSSq1bA6VUtBhOJRLB7926cOHECZWVlmD59+qCBkI1M\\\n",
       "YH9n18JmBhoMBigUCqjV6gGXng70epIDSfqsxOS5hsOdozgYtkSTdTplTVoGO180GkVXVxdsNhtv\\\n",
       "gGMymZCVlYXFixdDp9Phtddew4EDB/gweLfbnTK3MVk8Hkd7ezsaGxthtVohk8ng8/nQ1dWVEhyB\\\n",
       "k3MCWahmoynEYjGysrJw/fXX49NPP4XD4eAVQaVSiZycHOTk5CA7O5t3Xc3MzITZbIbFYuFVz8sh\\\n",
       "AF4IVCEkhIwUFAgJIeQSkBySBhuePtzzJBIJ6HQ6ZGRkICsra8h9ZcnPkx7QWCWL/fNU1xSPxxEM\\\n",
       "BmG32xEKhaBWq6HX66FUKnmDGdaRVBAESKVSXuk7k7mK7FyscqfX63mTnHSJRAJut5vPWoxEIigv\\\n",
       "L8ett97Kg9bs2bPR2tqKhoYGeL1eviSVfSbJ1ykWi6FQKBCLxdDQ0ICysjIYDAYEAgFoNBqoVCre\\\n",
       "1VQulyM3NxdTp06FSqVKeZ9lMhmKiopw9dVXo7m5GXa7HQqFAqWlpbjiiiswbdo0lJSUwGg0piwN\\\n",
       "ZaMszlXjnpGIAiEhZKSgQEgIIZcAVoU6F6RSKa6//nqEw2FMnTp1wOogM9RzDlTpGwzrkvnaa6/h\\\n",
       "X//6F3w+H/Lz87FgwQLMmTMH2dnZvHGL0+lENBqFwWBAZmYmtFotD4bpzz3Yl/bkpZgNDQ3weDwY\\\n",
       "NWoUn3040AzBtrY2vP/++9i3bx/C4TD279+PUaNGYcmSJdDr9TAajRgzZgzMZjNsNht/nuQGPGq1\\\n",
       "mi/jZI10bDYb2tra+HLbqqoqjBkzBrW1tYhGo8jIyMCyZctQXV094HgMlUqFmTNnora2Fk1NTcjI\\\n",
       "yMCcOXMwc+ZMFBQUpIyoSB6ZAXy+RPZM9mOOdBQICSEjBQVCQgi5iCV/0WTVnrP98imTyTB79mze\\\n",
       "UGWwKlL68s3kZZ2suUwoFOo3M28g4XAYb7/9Nn75y1/C4XBAEAQcO3YMn332GcaOHYvJkyfDarXC\\\n",
       "5/Ohu7sbfr8fWq2Wdy4tKSmBwWDgzWLYXj+1Wg2tVjtg45RIJIL6+nr87W9/Q3t7OyZNmoQVK1ag\\\n",
       "oKCg32uOxWKoqalBTU0NHA4HYrEY/H4/NmzYgClTpkCj0QAAlEplv+WxYrEYWq0WkyZNwoIFC5CX\\\n",
       "lwe/34/29nbeMKajowMGgwEajQZjx47FihUrcPDgQYRCIVRVVWHRokWwWCyDdkPNy8vDTTfdBI/H\\\n",
       "g4yMDOTn58NisfCurSzkJgdCthcy+fOk4DJ8FAgJISMFBUJCCLkEnIsvnKyqxgLMqZZiJhIJ3sSE\\\n",
       "VZrYUsxQKISuri7Y7Xbk5eUN2c0ykUigubkZf/jDH/jMPODkEtKenh643W4cOnQIWq0WEokEkUiE\\\n",
       "N1yRSqXQaDQ8BJlMJsTjcTidTkQiERQUFGDZsmWYOXMmr86x5/R4PFi3bh3+9a9/weFwYOfOnbDZ\\\n",
       "bPjRj36E7OzslOqZ3+/HgQMH4HA4+EgOQRDQ2NgIm82G7OxsxGIxBAIBxOPxlLAglUqRm5uLW265\\\n",
       "BYsWLYJer0c0GsWJEyewd+9edHd3w+VywefzQa/XIzs7G0ajEVOmTAEAGI1GmM1mfu3JlVcW7PR6\\\n",
       "PSZNmgSxWMz3b0okkn77NtPHSySH+uRjyKlRICSEjBQUCAkh5DKX3pgGwLDDYDQaBQA+gB04We3r\\\n",
       "7OzEzp070dXVhXHjxkGn08FsNvervCUSCTgcDrzyyitoamoacKh9KBRCOByGy+XqV+liz9nU1IS9\\\n",
       "e/f2CzpSqRQbNmzAd7/7XcycOROjR4+GXC5HNBpFa2srNm7ciM7OTkSjUXi9Xvz5z39GNBrFE088\\\n",
       "AavVCpFIxMNbTU0ND6IsDLAZhqwq6XQ6EQwGU/ZzqtVqVFRU8ConGwkhkUgQDof5+xAKhSAIAhQK\\\n",
       "BTQaDSwWC9/rxzqBJge4eDzOg6lKpeIhPvn1p3+uwOfLi9Ob3bD3lvYVEkIISUaBkBBCLmPpSwiB\\\n",
       "zxuODLSEkB0fi8UQDocRiURSGrGEw2F0dXVhy5Yt2LFjB0KhEACgvLwcWq0WCoUipbtne3s7Xnzx\\\n",
       "Rbz55ps8SA10jckBJ308Avsnqywm76eMRCJobm7G//7v/2Lnzp34z//8TxQWFiIcDuPw4cNobW1F\\\n",
       "NBrlr93r9eLNN9+EVqvFypUrYTab4Xa7sWPHDt5dlIUzjUaDK664AoWFhZDL5QiFQggGg4jFYjxY\\\n",
       "SaVSmEwmVFVVwWw2pyzfVKvVfPkoq4wGAgGoVCpIpVLIZDLeUZRVXlkQjEQiiEajEIvFUKlU/FiG\\\n",
       "fZ4DNbZhn3HysPpoNMo/b7b8lQyNKoSEkJGCAiEhhFymksNFIBBAOBzmIwvS98ElV6XC4TC8Xi8C\\\n",
       "gQCvdLFllU1NTfj000/5EHaDwQCfz8dn3rFA4vV68emnn+I3v/kNDhw4wGfoDdUcZ7CwONRtLHh2\\\n",
       "dHQgHA6jvLwcixcvRjgcxp49e+D3+/sd7/P58OabbyIWi2HOnDnw+XzYvXs3YrEYdDod9Ho9MjIy\\\n",
       "MG3aNKxYsQK5ubkQi8WIRCLQarUwGo084On1eowdOxbjxo3jzXnY80kkEhiNRhQXF0OhUPD9kZFI\\\n",
       "BBaLBTqdjlcgWRCPRqMIBoP8utm+yYGWhrLjBUHg4TS5Cy27jmg0Co/HA7fbjXA4jAkTJpzWz9FI\\\n",
       "dr6CXkdHB/Lz8/vdzn5hQAghXyQKhIQQchliASMSiaC3txetra3o6enh+9Hy8vJ4MxYAvHrlcrnQ\\\n",
       "29sLt9vN9xrKZDK43W4cPnwY27ZtQ2NjI/x+P6RSKZRKJTIzM2EwGCCRSJBIJBAMBrFr1y78/Oc/\\\n",
       "x6FDh/gyTKB/9W+wa0/eszicWXrxeBxerxdbt26FIAiIRqM4fPgwr+alh0K73Y53330X9fX1UKlU\\\n",
       "cLlc0Gg0yMrKQmVlJebPn4+pU6ciPz+fB2KtVovx48fjmmuuwbFjxyASiTBq1ChMmDABY8aMgUKh\\\n",
       "6DceRKlUwmq1AgAaGhrQ2NiIhoYG5OfnY9SoUbBarXzUBAvv4XAYsVgMcrkcCoVi0PmO8XgcoVAI\\\n",
       "8Xicj/5IH0IvEokQiURQU1ODjRs3orW1FX/5y1+G+2M0op3PCiELgyqVCgsWLMCGDRsQiUSgVqtp\\\n",
       "biQh5AtHgZAQQi5T8Xgcbrcbx48fx+7du9HU1ASfzwfgZCMTNgMwkUjA5/PBbrfD4XAgFApBpVIh\\\n",
       "Pz8fpaWl0Gg0aGpqwpYtW9DQ0MCXfspkMsTjcRQXFyMjI4MvF2VVLtatM7mZDQss8Xg85b5kbLYh\\\n",
       "2zPn9/t58EnHghc7b2dnJzZu3IhwOIy2trZ+DWCS35uenh7eJVWj0SA7OxuzZ8/G4sWL+RJYqfTz\\\n",
       "/5tUKpWoqKhAdnY2wuEwZDIZVCoVD21smSbr7smuS6PRQBAE9PT0oKenBy0tLWhpaeGhj1X3WJBk\\\n",
       "YyvYuQeaE8lCr9frRTQa5dXG9PcGAFwuF9566y2sW7cOHo/nNH+KRq4vYsloIBA463MQQsjZokBI\\\n",
       "CCEXseQ9YqfzBZU1Meno6MChQ4dw6NAhtLW1wePx8JENwOfBgnX2ZGFGp9MhFoshNzcXGo0GXq8X\\\n",
       "vb29fA8dE4lEeJWLhSe1Wo2pU6di1qxZsNvt8Pv9EIlEUKlUyM7OhsFggNPpRFdXF+/ayUgkEuh0\\\n",
       "OsyaNQvXXXcdDAYDtm7dinfeeQe9vb38utl7wgIXC2/BYBDNzc0IBoN8yWv60Pjk/YculwvBYBCJ\\\n",
       "RAKjR4/GlClTUF5eDp1O168yJ5FIoNVqodVqB917yRrBsP1+7LlZ4FSpVHC73QgGg8jLy0NpaSlM\\\n",
       "JlNKZ1D2vHK5nAfddIIg8OsPhUKQSCTQ6/X8fUk+rqGhAR9++CG6u7sHDNVkYGcSCDdt2pRye3V1\\\n",
       "NebOnTvo42bPno3t27ejqqoKAKjhDyHkgqBASAghFzGv18srTclNSIbCwonP50NraytaW1vR19cH\\\n",
       "j8cDr9fLG5awKl0sFuPdLIHUDqTFxcUoLCxEJBLBli1bUpZvJhIJ+P1+XuVKHsOQl5eHxx9/HEVF\\\n",
       "Rfj000/5QPYrrrgCBQUFcLlc+PDDD/HBBx/AZrMhFotBLBYjMzMTd911F+655x5kZ2dDJBJh4cKF\\\n",
       "0Gg0+P3vf8/31rFKWlZWFkaNGgWpVIpAIICuri54PJ6UiqJEIoFcLudLM8PhMF+WyfbghcNhaLVa\\\n",
       "5OXl9dtfyQwVypMb3yQ3nWHHymQyZGZmorq6Gu3t7fD7/f3GR7DmPez1sQY1g33GsVgMXq8Xfr8f\\\n",
       "er0+JSwziUQC+/fvR29vb0qQJ6d2JoFw9erVWL16dcp9A1XB7XY7LBYLduzYkfIc9BkRQi4ECoSE\\\n",
       "EHIRO3r0KKRSKfR6PaxWK/R6/SmHwAOf7y9Lr+ixoMI6ibJQmB4mRCIRiouLMW3aNGRmZiIrKwv7\\\n",
       "9u1DW1sbPx9rNBOJRPpdj0wmQ0lJCX7wgx/gjjvuQCgUgtFohMlk4mMZZs+ejRtvvBHvvvsuWlpa\\\n",
       "kJubi5tuugmzZ8+GTqfjYSgrKwt33303NmzYgJqaGsTjcUilUhQXF+PWW29FdXU1Ojs70dDQgPXr\\\n",
       "1/PXxaqDEokEFosFZWVlMJlM6OnpQXNzM5xOJ6LRKCQSCZRKJa9eDhQGk/cGDoSFBxbU2LzA5L18\\\n",
       "arUaEydOhCAI6OrqQlFREQwGAw+GyRXM5IrhYJKfL7mTavrPQXNzMx8fQs6vW265BQsWLOB/r66u\\\n",
       "HvC4rKwsACd/eVJRUYHa2lr+c02hkBDyRaNASAghF7H169dDJpMhIyMD48aNw+jRo6HX64dcWpY8\\\n",
       "XqCsrAyBQIA3avF6vZDJZLBYLAiFQjhx4kS/pZsymQylpaW45557UF5eDqlUCrPZjJ/97Gfo6enB\\\n",
       "pk2b+JfWUCgEm802YBVEIpHAYDDwpYxA6nJGlUqFJUuWYPHixQMu7Uw+T2VlJZ566ik8++yzcDgc\\\n",
       "mD17Nr7//e+jtLQUYrEYbrcb7e3t6OzshM1mQzgc5qFKq9XyjqFVVVUQi8Voa2vD9u3bcfDgQUQi\\\n",
       "EVRVVeHKK6+EXq/v9/ysOU8gEIBUKuXLYweqIEqlUt6ZNf1+qVSKzMxMXHnllbzjK6uuJs8XHOi9\\\n",
       "SsfmH2ZlZfHqMasMJ7+HIpEIBoOB9qedgTOpEC5YsAArV6485fGsipwc1NneWkII+aJRICSEkIsY\\\n",
       "W07IviwOVAUaCNu3lp+fz6tIgiDA4XDAarVi4cKFMJvN6O3txdatW7Ft2zZ0dHQgFoshOzsbd999\\\n",
       "N8aMGZNS5crNzcUPfvAD1NTUoKuri4cXv98/5LUM9aWaVSxPtXdKJpNh7ty5kMvlcLlcmDp1KgoL\\\n",
       "CyGTyQCAVx7nzZvHO5smEgkolUoUFhZi/vz5mDRpEjIyMiCRSJCXl4dx48bxpbQKhSKlMU6yRCIB\\\n",
       "l8uFmpoahEIhVFRUIC8vr9+x7LWw2wd63WKxGAqFgl93cnBjkucvDlWRVCgUsFgs/P1LnufIHieR\\\n",
       "SDBz5kzodDo4nU7qYHkaaA4hIWSkoEBICCEXseLiYkilUhiNRlgsFh4kBpM83kEqlUKn0yErKwsF\\\n",
       "BQXo6OhAIpFAfn4+pkyZwsPR4sWL0dHRgYMHD8Jms6GiogIzZ87s1zxFKpVi9uzZuPfee/Hb3/6W\\\n",
       "z0xL7255PojFYhgMBsybN48HveQqnVQqhVarxfz583Hw4EF89tlniMViKCgowLXXXotFixalBD6p\\\n",
       "VAq5XA6DwcDDcvoyT/Z+JhIJuN1u7N27F7W1tRg1ahS+9KUvobS0tN/nkTwcfqgwxwLcYJLDHav4\\\n",
       "pYdP9prZLwvYbMLkUMgC4dKlS/Gvf/0rpaslGdr5DoSCIECtVvOxE4QQcqFQICSEkItYRUUF76Rp\\\n",
       "Mpl4YEmuAiVXlJL/yfbPsVmDbrcbPT090Gq1UKlUUKlUfP+cwWBARUUFYrEYX4KYvoeNLUP9+te/\\\n",
       "jsbGRnz66afIyclBQUHBF/JeSCQSPqdtoIAkFotRVFSEO+64AzNmzIBSqURlZSVKS0thNBr5e5e8\\\n",
       "34+FJmagJasikQhKpRJyuRwOhwOBQADl5eXIzc3tt3T0dILBQPsU2T9Zt1J2fayDa3JFkTXWUavV\\\n",
       "fB8n63CaHEozMjLw1FNPYcqUKdi2bduwr2+kO5+B8JVXXsHXv/51BINBrFu3jt/+2WefndZ5CCHk\\\n",
       "XKBASAghF7H8/Hy+zFChUKTMxWPVoEQiwZeSJn+JZZWiSCSC9vZ2HD58GG1tbejq6uJdDpOPZ+Hx\\\n",
       "VHvXsrKy8L3vfQ9ZWVnIzMxEYWHhF7Zkbqgun4IgQC6Xo7q6GuPHj4dSqUwZ7D7Q49LD3EBhUCKR\\\n",
       "wGQyYerUqXC5XHA6nRCLxcPa7zXUss+hxONxhMNhxONxyGQyXhFNDuksBLP9g6zDKQuELNxKJBLk\\\n",
       "5+fjvvvuw5133nna1zJSnc9AeO+99+Lee+89k8sihJBzjgIhIYRcxJRKJf/Sn9yohIXA5A6TbDxF\\\n",
       "ekOTSCTCh6K73W5Eo1F0d3ejrKysX2AZzhdbiUSCnJwcTJkyBTqdDmq1+oLtoUoegcH2WLI9eunv\\\n",
       "2UCPG86eOpHo5EzArKwsVFZWwmazwWQynXLf43CeY7D3jVUJI5EIBEFIeR3poTC54sneh+RfHLDg\\\n",
       "mLx3kRBCCGEoEBJCyEWMha3kig/retnX14e6ujp0dXVBJpMhNzcXBQUFMJlMUCqVPEBEIhE0NjbC\\\n",
       "ZrPB5/PB7/fj3//+N6ZMmcKXk54OkUgEvV6PyZMnQ6VSfaGBMDlkJRIJRKNReL1e9Pb2IhwOQ61W\\\n",
       "Iycnh3fvHAqrsAJDV4PY0sycnBzMmTMHHo8HOp1uyHDFKpbJldv0c6Yv/U0/Jnl0SDQahVqt5qFu\\\n",
       "oK6k7PhIJALg5C8T2HvAnu9UoyzI56ipDCFkpKBASAghFzG2Ry15GWg0GkVLSwtef/11bNy4ES6X\\\n",
       "C2q1GhUVFVi0aBHmzZvHQ5FUKoVSqeQhku1N2759OxwOx4BjFobCnj8cDkMmk0Gn06VUo85EcgOV\\\n",
       "U92fXDlzOp04cOAA3nvvPdTX10MkEmHGjBm47777oNVqT/mc8XicD6ZP3jc5VHdQi8UCvV7P92cO\\\n",
       "dX62hDN5FAT7w5Z1DraMlVV7RSIRD4V+vx8ajQYajYYvhQU+r44Gg0HY7XaEw2FkZGQgJyeHV5jJ\\\n",
       "6aNASAgZKSgQEkLIRSz9S6kgCPB6vVi3bh3+/ve/o7OzkzcSsdlsCAaDyMnJgdVq5dUkNsNw3bp1\\\n",
       "CAaDAACv18v/fbji8Tj8fj9aW1vR1tYGg8EAk8l0Vl+GWXAKh8Mpw9UTiQTC4TDcbjecTif8fj/v\\\n",
       "uBmPx+FyuXD48GFs3rwZ9fX1CAaDEIlE6OrqwoQJE5CXlzeswObz+RCJRKBQKKDValOCVrLk/Xpi\\\n",
       "sTilApge7FjYDIVCCAQCiEajPECy7qbJoykGWrYrkUggk8kgl8sRDAZ5FVQul8NsNsNsNvOmQIlE\\\n",
       "AoFAAD09PTh69ChaW1uRlZWFBQsWoLi4uF/nVDI8FAgJISMFBUJCCLmExGIx9PT0YP/+/XA4HDxE\\\n",
       "xeNxeDweNDc3w2azpSwz1el0uO666/Dee+9h7969iMfjyM3NhU6nG/bzxuNx2Gw2rF69GuvXr0c8\\\n",
       "HsdVV12F0tLSIR+XvCRzoPui0ShcLhdsNhvcbjcikQi/ra6uDgcPHkRzczO8Xi/vcmowGCCXy+H1\\\n",
       "etHZ2YlwOIxYLAYAcLlc2LVrFxYvXjzgTEH2vPF4HIFAgIdNNjqDNW4Z7As+C4Os+sfCeHK4Y2GQ\\\n",
       "hVkWvBUKBTQaDa/Kpu//S74+FgpZqI/H43A4HAgGg7DZbDz0q9Vq/tns3LkT69evR3NzMzQaDVwu\\\n",
       "F+644w5YrVZ+jWfa5GYkokBICBkpKBASQshFLHkpJesY6vF4+Ay6SCTCwxDrEsr2t7FgI5VKUV5e\\\n",
       "jh/+8If41a9+BZvNhhUrVsBisQxrOaEgCAgEAnjzzTfxwgsvwG6384raTTfdNOjjkvfoDRSyEokE\\\n",
       "vF4vjhw5giNHjsDj8fDumt3d3aitrUVLSwvcbjdisRh/LTqdDmazGTqdDlarFTKZDD6fD4lEAmq1\\\n",
       "GjabDc3NzTw4pmOVzs7OTrS3tyMYDEKv1/PXNNjewORAJQgCQqEQwuEwX4qbvK8xEAjA5XLB5XLx\\\n",
       "2X9KpRIWiwXZ2dkpoyGSP4P04fLJoTAWi6G7uxuBQACtra3IycmByWRCKBTC4cOH8dFHH6GmpgZ+\\\n",
       "vx9SqRTRaBSVlZW44ooroNFo+P5ThUJxys+cUCAkhIwcFAgJIeQiFg6HAXzeRCUQCEAul2PatGmI\\\n",
       "RqNoamqCy+VCOByGRqPB1KlTMWbMmJTxESKRCAqFAgsWLIDVakV7ezsWLFgAlUo17Ovwer3YsmUL\\\n",
       "ent7eQByOBx8iWe65Fl6yeEnGRv4fvjwYezfvx/BYJAHWa/Xi1AolBK0gM8rdEajEdXV1cjNzUU0\\\n",
       "GkVHRwdcLhccDgf8fj82b96MzMxM5Ofn9xvVEQgEUFdXh507d6KtrY3PL2RhbagqWnJzllgsBpvN\\\n",
       "hsbGRrS0tMBut/PAxZZzsv2O8XiczzEMh8MQBAEWi4U3/0nfz8gqlWyZrFQqRSQSQVdXF06cOMEb\\\n",
       "6Gi1Wvj9ftTW1qKpqQk+n4//4qC5uRnvv/8+MjMzkZuby1/72LFjh/25E0IIufxRICSEkItYS0sL\\\n",
       "/3cWFEwmExYsWIBx48bhxIkTaGpqgt1uh9lsxvz585Gfn99vH5xYLIZGo8GECRMwZswYaDSa02o2\\\n",
       "IpPJoNfreeVJJpMhOzubV57SsUpZLBYbtCLFKlZ+vx8ejweRSAQGgwFmsxk5OTmwWCxQq9VobW2F\\\n",
       "1+uFIAhQqVQoKSnB4sWLceWVVyInJwcikQg2mw02mw0bN27EkSNH8P7778Pn8+Gee+7h7wcLqd3d\\\n",
       "3Xj//fexadMmOBwOqFQqjBkzBqNGjUJ5efmQ1R4WBtkev3A4jNraWuzcuRNdXV2IxWLQ6XTIzMyE\\\n",
       "1WqFUqnkFcN4PA61Wo2+vj643W7k5+dDqVTC7/ejra0NHR0dAIC8vDyUlpYiIyMDCoUC4XAYHo8H\\\n",
       "3d3daGhoQENDA3w+H/+ZiMVivBLJqrIikQjBYBDHjh3Djh07kJ+fz6uWFAiHhyqEhJCRggIhIYRc\\\n",
       "xF5//XVIpVIYDAZUVFSgsrISGRkZkMvlKCgoQGVlJRwOB3w+HzQaDbKzs6FSqYbslJk8tmA4RCIR\\\n",
       "dDodvvzlL6O5uRnt7e3Izc3FsmXLYDQa+z1X8tLJU1XbtFotsrOzYTabkUgkMGrUKF75E4vF6Onp\\\n",
       "wcGDB3HkyBG4XC5YLBbMmTMH8+bNQ25uLhQKBQRBgNlsRm5uLk6cOIHt27ejra0Nzc3NCAQC+OEP\\\n",
       "fwiLxQKRSIRYLIbW1lZs27YNNTU1CIVCkEqlCIVCmDlzJmbNmjWs90MikUCpVPL9gG63G3a7nS95\\\n",
       "lcvl0Gq1EIvF8Hg8fI+kIAhoaGhAa2srCgsLIRaL0draiiNHjqC7uxvxeBwmkwljx47FtGnTUFxc\\\n",
       "DABobm7GZ599hmPHjvEqLQAedNle0uS9iIlEAk6nE0eOHEFPTw+CwSBvvnOpW7FiBcrKys7rc1Ag\\\n",
       "JISMFBQICSHkIvbBBx/w8GcwGDB+/Hio1Wq+z02pVPK9hGKxGCqVasiwlz7CYrhfZOVyOa688kqY\\\n",
       "TCY0NDSgqKgIkyZN4s1YBnsu1thmIGKxGGq1GsXFxejt7YVKpcLkyZNRXl4OvV7Pw86sWbPgcrng\\\n",
       "drshlUqRkZEBg8GQ0j2TLavMzc1FMBiEx+OB2+3GW2+9hUmTJuGGG26AQqFANBpFT08POjs74fP5\\\n",
       "eAfQrq4uNDY2Ih6PD+v9YB1HLRYLiouLefWUPZ7td2RLa9va2uBwOPjS0Z6eHpw4cQKCIKC9vR1d\\\n",
       "XV0IBoNIJBLo6elBR0cHamtrUVFRAbVajba2Nhw/fhx9fX18WD27DlZpTR/bIQgCrz76/X5+XWR4\\\n",
       "KBASQkYKCoSEXOKam5vx6aeforW1FYFAAFarFZMmTcKsWbOG/LJOLg1utxsKhQKRSAR6vT6lYQzw\\\n",
       "+RfRwYabp2N71diwddZ98lRYt9KZM2di6tSpKXP70rEgyLp8DtW1UyqVwmKxoLS0FGazGWVlZTCb\\\n",
       "zXwGHwBebcvNzeXXkn5ONm/RarWmzP/r7e3FmjVrMHv2bGRmZiIajcLtdsPn8/FjEokEQqEQ3xOZ\\\n",
       "HJSH6pIqkUig0+lQVVWFyspK9PT0wOVy8aW9giDA5/Ohp6cHvb29vPGNRCJBJBLhzWbsdjv8fj9v\\\n",
       "DsSuPxKJwOFwQKlUwul0wuVypYTB5M9mIOz5Ozo6EAgEoFKpqKHMaaKgRwgZCSgQEnKJev311/H8\\\n",
       "889jz549yMrKQm5uLlQqFRwOBxobG6FUKrFixQr813/9F4qKii705ZIzVF1dDYPBgFmzZmHatGl8\\\n",
       "GSLrdMlGIHg8Ht5YRqfT8aYy7AstG0zf0dGBvXv3wufz8X1zrLo1VHADPl9yOpxQkdxIZrBzsuuX\\\n",
       "SCQwGAzIysrig+4Hmss31FxBViG0WCwpnTqj0SgOHz6Mo0ePQqVSwePx4Pjx43C73YjH40gkEvy5\\\n",
       "jEZjStWRNWdhjV7Sw7NIJIJcLkdRURHmzZvHO6OyTrCRSARutxsnTpyAx+PhgS+5UQ5r9BKLxVKC\\\n",
       "HhuLwQJkKBQaMAwmX0vy+Irkn4tIJAKn0wmdTndajYRGOqoQEkJGCgqEhFyCJk2aBLlcjrvvvht/\\\n",
       "//vfUVBQkHJ/OBzGjh078NZbb2Hq1Kl48cUXcfPNN1+gqyVn4/rrr4dWq0VFRQVMJlO/UJJIJOBy\\\n",
       "uVBTU4Pe3l5kZ2ejqqqKV9mAz8NBd3c33nzzTfzrX/9CMBhEdXU1vvSlL2H69OmwWCx8KPvpfBEe\\\n",
       "ynDOEY/HEQwG4ff7eeXybCRX+JJDksPh4MPdW1tb+4UrmUyG0tJSvhSXBTaXy4VQKASj0QitVjvo\\\n",
       "0HoWHgOBAAKBAG+CEwwGeWWQnZddZyQS4aFwoOWeydcxUDfX5EosC7fp52B7Gtl5QqHQWby7hBBC\\\n",
       "LkcUCAm5BP385z/HkiVLBr2fjRhYsGAB/vu//zulUyW5tEyePBkymQwmkylllAQTjUbR1dWFHTt2\\\n",
       "oK2tDfn5+XzsAeskyjp5btmyBW+88QZaW1uRSCRgt9sRjUYBABMnTkRGRgZUKlXKDMPzJbnxjN1u\\\n",
       "R1tbG9RqNUpLS8+oisXO53A4+MxCto9Pr9cDAILBIOx2O1wuV0p4EolE0Ov1qKioSAnR0WiUN3up\\\n",
       "rKxEZWVlSndWFrRtNhu2b9+Oo0ePoru7m4fN5NEbA4W+5PvSsbCXPDIjnUQigclkQl5eHlwuF7q6\\\n",
       "uvo9D7sOFkCHu0eSUIWQEDJyUCAk5BI0VBhMZ7FYYLFYzuPVkPOJVaWSg0rycHQWXLxeL5xOJ5RK\\\n",
       "JVwuF+86yRqOBAIB1NbWwm638w6VbDh7W1sbioqKoFarU5ZGnu8vuezanU4nuru7YTKZeDXrdJ+b\\\n",
       "hS8W9tj1s31+CoUCiUSCL9tM3nMpFouh1+thNptTnpfNeWxtbeUNa9jcQOBklS8YDKKurg4HDhxA\\\n",
       "b28vgsEgXxLKris9fA7ntbHrkslkKctak++XyWTIz8/HxIkT0d7ePuAew+TGPslLSsmpUSAkhIwU\\\n",
       "FAgJuUz09PSgp6enX7Vh/PjxF+iKyLnARkiwSl/6l32JRAKz2YyCggJ4vV5oNBreOIZVg5L3Dnq9\\\n",
       "Xv4zEolE0Nvbi+bmZpSUlKTsDWTPe66/6CYHpXg8jr6+Puzduxf79u1DR0cHysrKYDAY+lVD04NM\\\n",
       "+n0sFB89ehSxWIyHIIPBgDFjxiA7O5t3ZGXz/Vg4VKlUmDZtGh91wa7N6XRi/fr1aG1tRW1tLQRB\\\n",
       "wJw5c2A0GiEIAnp7e/Hvf/8bf/zjH9HQ0IBwODxgtS/9mtnnxj7TgY6TyWQwGAwwmUwIBoMIh8Mp\\\n",
       "1US5XI7Ro0fjhz/8ISZNmoTe3l783//9H9atWwe/38/3ZioUCmg0Gj6eg/0ygJwaBUJCyEhBgZCQ\\\n",
       "S9zevXtx1113oaamJqUjIquy0BKxSxv7opncOTN5OadcLkdeXh6uu+46jB8/HolEAllZWZDL5QBO\\\n",
       "VrHC4TDvZJkeStjSUqlUypcVRiIR3thlqEYuw5UcAhlWXTt+/Dh27dqFxsZGtLW1ITc3FwUFBcjO\\\n",
       "zubPzSp7oVAIsVgMcrkccrmcVzJjsRjsdjtOnDiBI0eOIB6P88HxBQUFmDp1KvLy8qDRaJCbm4sp\\\n",
       "U6bg2LFjfBB8cXExlixZAp1Ox9+feDwOm82G48ePo7e3l3cJPX78ODIzM9HR0YEtW7bg6NGj8Hq9\\\n",
       "KVXBoT5LtuePNXjx+Xzwer18ZiO7Pzs7G5WVlTCZTHzgPVsOK5VKkZ+fj5UrV+Lqq6+GVqtFYWEh\\\n",
       "HnnkEUgkEmzZsoV3pR01ahRKS0t55dhms+G999476890JKBASAgZKSgQEnKJu+eee1BRUYE//OEP\\\n",
       "yMrKoi8ml5nkkQIDVQhFIhHUajUKCwuRk5ODeDzOgxz7hQALkmazGVqtllePcnJyMGvWLMyaNQsl\\\n",
       "JSXQarWQyWS8wsjOMdRcw/TrSb8vkUjwsJT8BZsFnJ07d6K5uRkulws+nw8fffQRxo8fj8WLF0On\\\n",
       "0wEAQqEQ2tracODAAXR3d8NsNqOyspIPpg8Gg6ipqUFtbS2f7ccqbOPHj8eECRNgsVggk8kglUox\\\n",
       "Z84ctLS0YM+ePQCAuXPnYuzYsbyhDHAyEPb09MDtdiMQCCAYDOLAgQOoqalBJBKB1+tFKBQaVhBM\\\n",
       "fn/kcjny8/NxxRVXoKqqCg6HA7t27UJdXR2CwSBUKhXKysowe/ZsVFZWQiKRoKWlBTqdDrW1tQgE\\\n",
       "AjCbzbjhhhv4e8TGXJSXl+P73/8+ysvL4XQ6MXr0aEycOBFZWVmQSqUIhUJwu90UCIeJAiEhZKSg\\\n",
       "QEjIJa6pqQl///vfUVZWdqEvhZwHarWaBw5WtRtoPxnb+wekNhJhywwVCgXKysrQ19cHu92OnJwc\\\n",
       "LFiwAEuWLEFxcTFfIsoqkaFQKKVT52Bhj1W20scysIYrbG9jIpGAVquFWq2GRCJBMBhEfX09Dhw4\\\n",
       "AK/Xy0Nrd3c3Nm7ciJycHBQVFSGRSKC1tRXr16/Hjh070NfXB5VKhVGjRqG6uhrZ2dkIBoO84udw\\\n",
       "OACcXAZaUFCAefPmobi4GGq1GmKxGBKJBGVlZbj66quhVqsRjUYxdepU6PX6ftfORlOw9zAajcLl\\\n",
       "ciEWi51WEEz+nAwGA770pS/h7rvvRk5ODgDA5XKhvr4eDQ0NEIvFKCgoQF5eHtRqNRKJBMrLyzFq\\\n",
       "1CjU1dXB5/OhuLgYc+bMQUZGBv/MWdgcNWoUbrnlFsRiMWRmZkKv1/cbpXE57CN89dVX0drael6f\\\n",
       "gwIhIWSkoEBIyCVu4cKFOHjwIAXCy1Ryx81TLeFMXg6avnxYLpejsLAQ4XAYkUgEc+fOxYwZM3iV\\\n",
       "je1nC4fDCIVC8Pl8CAaDMJvNPMQli8fjsNvtaGxsRCwWQ35+PqxWKx9Gz7qfbt68Gbt27QIAjBkz\\\n",
       "BpMmTYLFYoHb7eadUdlePrbvz+l04tChQ+jq6oLdbse+ffuwf/9+2Gw2RKNRyGQyBINBuN1uGI1G\\\n",
       "Pnzd5/PB4/FAJBLBZDJh1qxZmDlzJgwGQ0qYNhqNGDt2LB9Sn52dnbJHkwVp4OSSXKlUyvdkDhYG\\\n",
       "2WfDBtKzpj7JxGIx8vLysHz5cpSUlPBlvTqdDjk5OZgxYwZvqsPeC0EQYDKZkJubi6lTp0IQBKjV\\\n",
       "aj5rMhn7nNlyW6VSmRIGCSGEkIFQICTkEvfKK6/grrvuwpEjRzBu3LiUZW8AcMMNN1ygKyPnQvrn\\\n",
       "eTpdKtMH08vlcmRmZkKj0WDChAnIzs6GSqXiexLZH4/Hg6amJohEIpSXlyMvL69fd02n04m//vWv\\\n",
       "ePfdd5FIJDBjxgzceOONKCsrg1QqRU9PD/71r3/hzTffRHt7Ow82EydOxKRJkxCLxbBr1y643W5e\\\n",
       "YdRoNMjLy4PVaoXdbkdtbS2OHDmClpYWXkVknTcFQeAz/3p7e9HX18dDG6sOLl68GHl5eSmhSCwW\\\n",
       "Qy6XIyMjg1dMtVotD4EshCUSCRgMBmRlZSEajSIQCPAloukkEgm0Wi1KS0v5OQ8ePNhvvIVYLEZF\\\n",
       "RQVKSkpSrolV96RSKZRKZb/QqVAooNVq+fLd5GW86dXgeDwOmUzGz0dh8MxRhZAQMlJQICTkErdj\\\n",
       "xw5s27YN69at63cfNZW59A21f+9U2FJSqVSKcDiMrq4u2Gw2ZGRkQCqV8nmDLAQBJ0dRfPLJJ1i3\\\n",
       "bh1isRjmzZuHW2+9FQUFBTychkIhrFmzBs888wwPdAcOHMCBAwdw6623wmKxYNu2bfj73/+Ojo4O\\\n",
       "XgF0u93o7u7G3r17YTQaeTMVmUwGtVqNMWPGYOHChcjNzUVDQwN27NiB+vp6hEKhlNBotVoxatQo\\\n",
       "aLVatLW1weFwwOPx8PEMer0eCxcuxLRp0/hS2OT3hAW4vLw83khGLBYjGo3yYyUSCUpKSnDjjTfi\\\n",
       "yJEjaGtrQ1dXF3p7exEIBHh4NBqNuP7667Fy5UqUl5dDoVAgEAjgb3/7G3784x/D4XDw/ZMGgwE3\\\n",
       "3XQTTCbTgJ9rcrMg1kiHfYYymSxlSW7yMYFAAG63G8FgEAqFAiaTiVdqyZmjQEgIGSkoEBJyifvu\\\n",
       "d7+L22+/HY899hiysrIu9OWQiwj7QiuTyRCNRtHZ2YmWlhYeoNIbwgiCgJ6eHnz44YfYs2cPBEFA\\\n",
       "MBjEuHHjkJmZyZeNBoNBfPbZZyndNdk8vt27dyMnJwcHDhyAw+HoN5MvEonA7/dDqVTypZGs22l2\\\n",
       "djYKCgpgNBrR2NgIt9vNxy0AJwOQVCpFVlYWKioqoFAo4PF4+LlZ8NJoNBg3bhzUavWgX9TFYjGU\\\n",
       "SiX/Owu77LnY0szq6mpotVoeUuvr69Hb24t4PI6srCzcdtttuOuuu5CZmclnRcrlclx//fX4+9//\\\n",
       "jk2bNvHOoGPHjsWUKVOGHDbPrk0ikSAWi6Us/R1IPB6Hw+FAfX09AoEAsrOzodFooFarh3wOcmoU\\\n",
       "CAkhIwUFQkIucXa7Hd///vcpDJIBsS+1bAlmW1sbVCoV2tvbMW7cuH4Vp6amJh7mAKC2thafffYZ\\\n",
       "ZsyYwfczRiIR9PX1pXQ9TSQS8Pl86OzshCAIsNvtvOFM8rWw6pzFYoHT6eRzESORCHw+H+LxOORy\\\n",
       "OQ9zyY9n3VGtViuKi4uhUCjQ29sLtVoNt9sN4GSwy8vLQ1FRUb+KGjsH+yOVSvlrYs/Flp1GIhFE\\\n",
       "o1EYjUaUlpbCZDLBbDbDaDSiu7sber0e1157La655hpYLJaUPZYikQhWqxX3338/WlpaYLPZYLVa\\\n",
       "ce+99yI7O3vI8MCqlWw/YvpQ+3SJRAJerxft7e0IBoO8UU4ikeAjSgZ7LBkaBUJCyEhBgZCQS9xN\\\n",
       "N92EjRs3YtSoURf6UshFKhQK4dChQ2hoaIDb7YZUKkVNTQ0WL17c79i2tjY4nU6+zNPr9aKxsRHB\\\n",
       "YJBX4Ng+voG6nbIOnYM1XcnIyMCsWbNgNBqxe/dudHZ28ipgS0sLuru7UVBQgPz8fGRlZaG9vT2l\\\n",
       "asf2yJlMJhiNRlRWVuL48ePw+/2IRqPQaDSYOHEiTCZTyjxO9nh2DhaWWGBiIZA1pgkGg4hGowAA\\\n",
       "jUYDlUoFvV6PnJwcRKNRlJSUoLq6GmazecBGP1KpFAsWLMCqVavw2WefYfz48ViyZMmwl3KyOYrp\\\n",
       "cycHO1alUkEmk8FoNPLnYK81OQQDJ/ckklOjQEgIGSkoEBJyiauoqMAjjzyCrVu3orq6ul8Tku99\\\n",
       "73sX6MrIuTBQsBroGFZJSm4Ow8JZR0cHtm/fDqfTiWg0ikgkgpqaGh76ks8diURSAl3yXjZ2jFQq\\\n",
       "5SMP2DkkEgl0Oh0yMjJgMBigVqshk8kQiUR4ZS8rKwt33HEHFixYgM7OTuzbt493PY3FYnxJ65w5\\\n",
       "c1BRUYEFCxagoaEBdrudVyPD4TDcbjfEYjHMZjPGjh3LQ67f74fVasWsWbNSlkwmN16JxWIp18QC\\\n",
       "YTQahdPpxPHjx1FfX49gMMirg0ajERqNBgaDAXl5eVCpVLBardDr9YN2fRWJRNBqtVi2bBkWLlwI\\\n",
       "hULBR1+cSvI+xuSGPwNh+xirqqogk8mQlZUFrVbLrysWi8Hv98PhcMDhcMDn82HhwoWnvAZCCCEj\\\n",
       "BwVCQi5xr7zyCrRaLTZv3ozNmzen3CcSiSgQXuK6u7v5EkKFQgG5XJ4SFFjoY1U2uVzOm8UIggCf\\\n",
       "z4ddu3ahqamJLyUUiUQpzV4Ytv8ueZmhXC5PmeMHnKx+5eTk8I6YwMkqWmlpKSorKyGTyZCRkQGV\\\n",
       "SoVIJAIAsFqtuOeee3D77bdDr9dDpVLxmYcs7Pl8PrS2tkIikSA/Px/Lli3D4cOHsX79eoTDYQBA\\\n",
       "OBxGR0cHPB4PNBoNTCYTNBoNCgsL4fP5YDAY+JD55MpYPB5HOBxGIBBAJBKBTCbjDWcSiQT8fj+O\\\n",
       "HTuGf/7zn6irq4NYLEZpaSmsViuMRiOUSiVUKhUPdhqNZlh7AVUqFd+reLoNgthnONgvAYCTodFg\\\n",
       "MECj0UAmk0GhUPClsqzzaHd3NzZt2oS9e/fCZrNRIBwmqhASQkYKCoSEXOKam5vP+3P83//9H375\\\n",
       "y1+iu7sbEyZMwP/+7/9i+vTpgx6/Zs0aPPbYY2hpaUF5eTmeffZZXHfddfx+QRDwxBNP4Pe//z1c\\\n",
       "LhfmzJmD3/3udygvLz/tazvVkO3169fja1/72mmf92Ixffp0SKVSmEwmjBkzBldccQXGjx8Ps9nM\\\n",
       "Q08wGITdbofP5+MhSaFQIJFIoLOzE7t27YLf7095r4LBYMoyUOBkNZAFz3A4DLFYjOzsbMyePTul\\\n",
       "QQub5afT6RCNRiGXy1FaWop58+Zh3LhxCAQCyMrKglqt5p0vZ8yYgZtuugk5OTkQiUTQ6XQpexDZ\\\n",
       "/r2uri7E43FoNBqUlZXhq1/9Kg4fPoz29nYecGw2Gzo7O3lHUa1WC6vVimg0ColEwrt4JlcFQ6EQ\\\n",
       "HA4H7HY7AMBkMvFAF4lE0NbWhvfffx+bN2+Gy+WCXC7nHTzZcle5XM5D4VDzIJOdTqhIf1zyP4c6\\\n",
       "TqFQQKlU8iCYPGJDLBYjFAqhvr4eR44cQV9f32lfy0h1OQRCh8MBq9VK3aYJIUM6837mhJCLWldX\\\n",
       "F37xi1+c9XnefvttPPTQQ3jiiSewb98+TJgwAUuWLEFPT8+Ax2/fvh233XYb7r33Xuzfvx/Lly/H\\\n",
       "8uXLceTIEX7ML37xC/z2t7/FSy+9hF27dkGj0WDJkiUIhUJnfb2Xmz179mDXrl348MMP8bvf/Q4/\\\n",
       "/vGP8de//pXP5gsEAvB6vejq6kJtbS2OHj2KpqYmdHV1obOzE0eOHEFDQ0O/amAikUBfXx8ikQgf\\\n",
       "uO50OlFfX8/n2On1esycOROjR4/mS5FZtU0ikUCv18NgMKC4uBhXXXUV5syZg6KiImRnZyMjI4MP\\\n",
       "RtdoNBg9ejSsVisfn8DGYaRfk8vlQiAQgEQigVqtxqRJkzB69Gh+bCKRgMfjQUNDAx9Cr1KpYLFY\\\n",
       "kJmZCYvFkrKHLhaLIRgMwmazoa6uDrW1tejs7ITX60UwGEQgEEBPTw8+/fRTbN68GTabjb+nvb29\\\n",
       "CAaDPLiygHA2o0DOpeQ9nelhEPh8ea/BYIBer+dVQzI8ycuvh/PnYmQ2m+kzJ4ScElUICbnE3XPP\\\n",
       "PQPe3trais8++wwPP/zwWZ3/17/+Nb7xjW/wKttLL72E9957D3/84x/xox/9qN/xzz//PK655hr8\\\n",
       "8Ic/BAA89dRT+Pjjj/HCCy/gpZdegiAIeO655/Doo4/ixhtvBAD85S9/QVZWFtauXYuvfvWrZ3W9\\\n",
       "l5vkL3N+vx/19fVYs2YNMjIycMUVV0Cj0cDn88HpdKKjowPhcBg9PT3IyMhANBrF7t270d3d3a9b\\\n",
       "ZSQSwc6dO/kMwL6+PmzYsAEff/wxYrEYFAoFsrOzMWnSJB4mgM9HR0QiEeh0OiiVSkydOhULFixA\\\n",
       "aWkpH2BvNpv5YHS29DR5mHpyJS+5ehEMBuH1egF8vhyytLQUn376Kd/7Fw6Hcfz4cRw9ehRmsxkm\\\n",
       "k6nffjvWZTMcDsNut6OmpgbHjh1DOBxGfn4+zGYz78h54MABvP/+++jo6OCdUdkS1mAwyJe2sr2V\\\n",
       "rPI43Coee83DPXa4kkdtDHZu1shn8uTJqK+v541yyKldDhVCRiwWUzAkhAyKAiEhlzin05ny93g8\\\n",
       "jqamJtTU1ODFF188q3NHIhHs3bsXjzzyCL9NLBZj0aJF2LFjx4CP2bFjBx566KGU25YsWYK1a9cC\\\n",
       "OLnEtbu7G4sWLeL3GwwGzJgxAzt27KBAOAQWxlpaWrBhwwZkZmYiLy8PPp8PbW1tfHafQqGAVquF\\\n",
       "3+/HkSNH4HA4UprOiMViuN1uvPXWW3jnnXfgcrnQ19cHj8fDQxfrqqnRaPhSTZFIxJdRJhIJZGZm\\\n",
       "wmQyYeHChRg9ejSMRiMPmwaDgY9NiEajcLvdfA+jIAhQKpUoLS3F9u3b+zWxSa7KicVifq7kqt+J\\\n",
       "Eyewbt06yGQyVFdXw2Kx8AHurIoZj8fhdDpx7NgxbN26FY2NjZDL5UgkEjCZTIjFYrDZbHjvvfdw\\\n",
       "9OhRhMNh/j6xURhutxuBQABarZaPpGDvBXs/h6oUJe9jPJ0AOVzxeHzILqRisRgajQaTJ0+G0+mE\\\n",
       "Vqs9Z899ubucAmH6XlSVSoVAIHABr4gQcjGhQEjIJe6f//zngLf/93//N9auXYtvfvObZ3zuvr4+\\\n",
       "PoA7WVZWFo4fPz7gY7q7uwc8vru7m9/PbhvsmIGEw2HeWAQAH0g+0rAKWUtLCxoaGiASieD1etHR\\\n",
       "0QGbzcY7bspkMvh8PvT09PCQx4hEIoRCIZw4cQLRaJQ3WmFhiO2/EwQBoVCIN6xhVYZYLMYbxxQW\\\n",
       "FqKwsBA6nY6HMdbchJ0nHo/D5/OlzCWUSqXIzs6GUqlEIBBIWf6YHKJYNTF5zx7bN9nc3IyDBw9C\\\n",
       "r9fzmYLJ3UXD4TCcTieam5v5LyJUKhUMBgO6uroQCATQ3NyMxsZGHnKTsesOBoN8aS2rPA60jHSg\\\n",
       "jqCsmsgqiux1nIsAkVytlEgkgzagEYvF0Ov1qKio6PcLJHL5Y//Nvfbaa3jkkUfQ1dWFYDB4ga+K\\\n",
       "EHIxoUBIyGXqtttuw9NPP32hL+OceeaZZ/Dkk0+m3PbEE09coKu5cJKXTL7xxhsoKChANBpFd3c3\\\n",
       "r8KxSlooFILf70c4HO63ZNHn88HlcqXMqWP3s8peOBxGW1sb2tvbodFooFareYUsLy8Per0eo0eP\\\n",
       "RllZGbRaLV/+qVAoYDAYeHfNWCyGvr4+eL1eZGZm8v2BU6ZMwahRo+Dz+RCJRCAWi6FUKvl5WGVS\\\n",
       "KpVCLpfz18UCYUNDAw/DixYtQm5uLgoLC6HRaBCPx2G32/HZZ59h3bp1qK2tRSAQgFwuh9PpxIkT\\\n",
       "JyAIAtra2tDW1oZQKJQSmlklsqGhAdnZ2SmD7Nl8QLY/MRgM8koc6/bJwnMkEuGBmnUoZa/lXGAh\\\n",
       "NnmERjo2EqS6uhq5ubnn5HlHiou98jcQkUgEtVoNv9+fcvvSpUtxxx13XKCrIoRczCgQEnKZOnjw\\\n",
       "ICZNmnRW52Cz5mw2W8rtNpsN2dnZAz4mOzt7yOPZP202G3JyclKOmThx4qDX8sgjj6QsRfV4PHjl\\\n",
       "lVdO6/VcLhKJBHw+H2pqatDQ0JAybB34/EtsckWLYfexiuBAXVpZKGSB6dChQ1AqlcjNzYVcLodc\\\n",
       "LkdZWRkfP6HValOavkgkEmi1Wuj1esjlcgAnq3V+v5/fz86xcOFCdHd3o6enB2KxGDqdji+NlUql\\\n",
       "iMViUKvVUKvVvArGXm8gEOD7JhOJBMrKyjBr1ixkZmbyWYsffvghDh48CLfbzYe8u91utLS08JmE\\\n",
       "bPRFulgshsOHDyMQCKC8vByTJ0/GxIkTkZ2dDYlEAo/Hg5aWFjQ1NcHn88FisaC4uBjZ2dlQKBQI\\\n",
       "hUKw2+3o6elBNBpFdnY2KisrkZmZCZlMdtZhgwXk9IrlQNhnolKpzuo5R5JLecno6NGjAQA33HAD\\\n",
       "/vWvfwE4+b/nyb/8IYQQhgIhIZe49P16wMlw9c4772Dp0qUp9//6178+rXPL5XJMmTIFGzZswPLl\\\n",
       "ywGc/MK/YcMGfOc73xnwMbNmzcKGDRvw4IMP8ts+/vhjzJo1CwBQUlKC7OxsbNiwgQdAj8eDXbt2\\\n",
       "YeXKlYNei0KhgEKhOK3rv5yxCl7yMtpTSf6CO1QYlMvlvMLndDpx6NAhqFQqyOVyPvicjTlInk+Y\\\n",
       "vIRRLpfz4e2xWIzPLIzH47zTqNlsxpw5c3D06FHs2bMH0WgUKpUKbrcbXq+XD77XarUwGAyw2Wwp\\\n",
       "FU02W7C3txf79u1DV1cXRCIRSktLEQgEsH37dhw4cABOpzOlmQpbQnuqL8eJRAJdXV1wOp2oq6tD\\\n",
       "XV0d3G43ZsyYAZ1Oh56eHuzZswd79+6F3W6HWq1GcXExKioqYDabEQwG0draiubmZng8HpjNZixe\\\n",
       "vBjXXXcd/2XLuZAe+gfDlrWS4bmUA2FZWRkA4N1338WiRYuwfv16jB07NqXbMyGEMBQICbnE7d+/\\\n",
       "f8Dbp02bhp6eHj4e4ky/sDz00EO46667MHXqVEyfPh3PPfcc/H4/7zp65513Ii8vD8888wwA4IEH\\\n",
       "HsD8+fPxq1/9CkuXLsVbb72FPXv24OWXX+bX8eCDD+Lpp59GeXk5SkpK8NhjjyE3N5eHTvK55O6e\\\n",
       "6Yb7m362x00qlUIikQw6k4yFQavViqKiIiiVSvj9fjQ3N0Oj0fCREkqlkgc/NrKC7f2LRCJ8z53J\\\n",
       "ZEJmZiai0SgyMzP5MkpWyVIoFMjPz0d1dTVaW1vhcDgQi8XQ0tKCrq4uSCQShMNhqFQqmEwmyOVy\\\n",
       "HoDZa4/H44hEIuju7obH40E0GkV9fT28Xi9qamr4aI0zqYqw2YiskY7H4+FLS8vKytDd3Y3Dhw/j\\\n",
       "+PHj8Hg8EIvF6O7uRnd3N1+a2d7ejqamJj7/sLGxESqVCsuWLUuZ7TjQZzrUf7Pp+xTJuXcpB8J/\\\n",
       "/vOfeP755wGc7DgNnPxlHAVCQshAKBASconbuHHjeT3/rbfeit7eXjz++OPo7u7GxIkT8cEHH/Cm\\\n",
       "MCdOnEipOsyePRtvvPEGHn30Ufz4xz9GeXk51q5di3HjxvFjHn74Yfj9ftx3331wuVyYO3cuPvjg\\\n",
       "A77n7HSc6ovYokWL8Ne//vW0z3ux0Ov1vFNn8rLQ0w2DSqUSBoOBL5mMRCL9jmWjIKqqqlBQUAC3\\\n",
       "2w2n0wm3243W1lbekEQikfBuoD6fDwD4EsjkZZISiQQWiwVisRiZmZl8GSq7LolEAo1GA6vVykOm\\\n",
       "z+dDU1MTmpqaoNFoIJFIoFQqYbVa+aD79IH28Xich9Camhq0tLQgGo32a2RzJpKrnn6/H3V1ddi1\\\n",
       "axcAwG6348SJE+jr6+NNOkKhEG/Uo1ar0dvbC7vdDrfbjXg8Dq/Xi+eeew5lZWWYOHFiyixGti8x\\\n",
       "Go1CLBbzSupwx1pQMDy3LtVAKBaLEYlE+CqNhoYGAMD7779/Aa+KEHIxo0BICDml73znO4MuEd20\\\n",
       "aVO/226++WbcfPPNg55PJBJh1apVWLVq1bm6xMvWsmXLeOOUrq4uPhqChaL0RijJWBjUaDQoKSlB\\\n",
       "ZWUl/H4/Dh48CL/fn3I8279XVVWFMWPGQCKRwOFw8LmANpuNdyyNx+OIRqPo6OjA3r170dXVBaVS\\\n",
       "CZVKxUOhy+WC1+vlew7FYjEPS2wfIXAyXKY3YXE6nejt7YXf74dOp4NOp0NxcTHq6+vh9/v5mIrk\\\n",
       "cMyWTcbjcf7aBlsWe6ZYKOzo6IDdbofX64XP50M4HObBM5FIoLe3l3f2ZFVFtlw2Ho/j8OHD+J//\\\n",
       "+R/8/Oc/R15eHt8byZa/2mw2Xj1lIzfSUfg7/y7VQMgaGEUiETz22GN46qmnLqrrI4RcfCgQEnIJ\\\n",
       "uuaaa/DTn/4UM2fOHPI4r9eLF198EVqtFvfff/8XdHXkXLrjjjsQDAZx4sQJHDx4EEeOHEFnZyev\\\n",
       "fqWPQUgmFouhUqlQUlKCxYsXY8yYMbyBS3d3Nw+U7DhWtdLpdGhvb4fNZoPX60UgEOD76Nrb25FI\\\n",
       "JOByubB+/Xp8+OGHfO8e66KpVCohk8kAgM/sY9VHg8EAmUwGpVLJr1kul6d032TLWtmoC51Oh7Ky\\\n",
       "MnR1dfFAGAwGUwJx8hLS8yU5eKrVav46ksMnW15qt9sRiURSmtYkj/L48MMPkZ2djZUrVyIrKwvx\\\n",
       "eBx9fX04ePAg6urqoNPpMHv2bIwePTpln2aycx14yeUjeW/xnXfeibFjxyIej/Plo4QQkowCISGX\\\n",
       "oJtvvhlf/vKXYTAYsGzZMkydOhW5ubm8CQgbxP3+++9j6dKl+OUvf3mhL5mcoby8PMRiMZjNZlgs\\\n",
       "FmRmZuLo0aNob2+H1+vlgYPtdUvfo2e1WjF58mRMmzYNubm50Gg0yMnJwaFDh/hsPLlcjvz8fEya\\\n",
       "NAlmsxnt7e04evQoOjo6EAgEeMjav38/VCoVcnJy0NDQgK1bt6KtrY1/+WTVPqVSyZvOsOtqaGhA\\\n",
       "S0sLHA4HrrnmGuTn5/PgZzAYUFhYCJ/Ph3g8DpPJBIVCwcOXUqlETk4OJkyYwGcmdnd39xsVcS6x\\\n",
       "Dp4D3a7T6TBq1CjI5XI0NTWhpaWFj/Zgy3vZUtqBqkyJRAJerxerV69GPB7HtddeC71eD5vNhpqa\\\n",
       "GnR0dECn06GoqIjv5Uw+z2CdRVngpGrQuXGpVgjTlZWVnVbzKULIyEOBkJBL0L333ovbb78da9as\\\n",
       "wdtvv42XX34ZbrcbwMkvJmPGjMGSJUuwe/du3n6cXJpYQxQ2CL6iogJSqRQZGRl8LyCrmAUCAYRC\\\n",
       "IV5Z02q1yM/PR3l5OcxmM9RqNTQaDSwWC+RyOR/DoNfrUVJSAqPRiM7OTuzZswctLS08cIlEIiQS\\\n",
       "CTQ2NqKrqwuCIMDtdiMQCPDlm2x5KgunbNg8C4SCIMBms6GjowPd3d1YtmwZCgsLAQAWiwXjx4+H\\\n",
       "SCSCx+OBxWKBRCJBKBTiM/5UKhUKCgr464xEIrxhzHA6bJ4O1o2T7U9MJhKJYDQaUVpaCqPRCJ/P\\\n",
       "h8OHD8Pn8/GAxhrdhEIhXvlkgZGFzEQiAYfDgQ0bNkCtVqOqqop3QtVoNHxkx0BV0PRACIBXVNnn\\\n",
       "cDEHlEvF5RIICSHkVCgQEnKJUigUuP3223H77bcDANxuN4LBICwWC1+uRy59LS0tvEOoIAjQaDTI\\\n",
       "z8+HTqfjw9wFQeDLOt1uN0KhEEQiEbRaLbKzs2G1WvnjRSIRVCoVX7IplUphNBqhVqt5haqhoQGB\\\n",
       "QIBXENkeN9ZkJrkSCXy+V5FhnUfZvjl2bDQaRVtbG9auXQu3241rr70WxcXFUCgUKCwsRDAYRGdn\\\n",
       "J4CTo0i6u7sRiUT4sHq5XI7c3FxUVVXB4XCkBNJzVSkUi8VQKBRQqVSIRqN8diLDnker1cJisWDS\\\n",
       "pEkYN24cb2STHNBisRjkcjnfz8VGZrDzxONxeDwe2O12CIIAs9kMpVKJaDQKg8GAvLw8Pscx+fWx\\\n",
       "vZLJy1BZ8JZIJFAoFHxfJjlzFAgJISMFBUJCLhMGgwEGg+FCXwY5x95//33I5XKYTCaYTCY+BN5s\\\n",
       "NvMOnKya5nQ64XQ6EQgEAABqtRomkwkajYYPcmfLTOVyOW8+wbp3dnd3o6mpCX6/n1fGWNhjISS5\\\n",
       "0ym7n4VGhULBO5CGw2F+PMP22PX29uKTTz5BJBLB4sWLkZ+fD+Bkp9J4PM7nEDocDpjNZphMJuj1\\\n",
       "en5+o9EIk8kEpVLJl5kOV3J4TZ9FyLqxFhQUoKioCB6PBwcOHODVPeBk0Gtvb4fT6URWVhavrsrl\\\n",
       "cv6+J+8p1Gg0MJvNvGFOetdTNjDearUiIyMDUqkUUqkUGo0GRqORz95k7znrRMpCOftcwuEw3G43\\\n",
       "XC4X1Go1CgsLYTQaz9msw5GIAiEhZKSgQEgIIRex1atX86CSkZGBkpISFBcXIzMzkw+Il0qlvIGJ\\\n",
       "TCaD2Wzmg+QlEgl8Ph98Ph+8Xi+OHTuGvXv3wu/38yAnFovhdDrR0dEBj8eTUskazjB7mUwGo9HI\\\n",
       "A43dbkdfX9+gsxOj0ShsNhvWrVuH48ePY8KECTAYDLDb7Whvb4fL5eLVT41Gg+zsbBQXFyM/P5+H\\\n",
       "VzaGg0n/Qp7+d4lEApVKhby8PFRVVcFoNKKrqwvHjx9HX18f4vE41Go1pk6dijvuuAPjxo1DLBbD\\\n",
       "T37yE2zZsoUvn43H4zh69CheeOEF3H333VCpVAgEAgNW49i4jbFjx8JoNCIUCsHhcPDrlslk0Ol0\\\n",
       "PPBarVbodDqoVCo+coK972wZrs/n4xVgmUwGqVSKeDwOm82Gbdu2YdOmTQiFQliwYAHuuusu5Obm\\\n",
       "8tEVyZ8pObXzHQhXrFiBN954I+W2oqIitLS0nPa5CCHkbFAgJISQi1ggEOCjHEKhEMLhMAKBAHp7\\\n",
       "eyGXyxGLxRCJRBAOh3n3y+zsbOTm5kIsFiMYDMLtdvOZeXV1dbDZbDzECILAq1Ks2pY+HH2oL7sS\\\n",
       "iQRqtRpZWVnIyspCOBzmQ9qHkkgkEAgE0NjYCJfLBZPJxOf0BQIBvp9OLpfD6/UiFotBJBIhIyMD\\\n",
       "Xq+XV+2SK34ikQhSqTRljAXbV6dWqzF69GjceuutmDNnDt//t2fPHrzzzjtobm6GwWDAwoULMXXq\\\n",
       "VOTk5EAikeA73/kOmpub0djYyN+bUCiErVu3QqPRYMyYMXA4HJBKpSnvEwvxWVlZKCgoQDweR11d\\\n",
       "HbxeL79u9hin04menh4YDAaoVKqUZaXs+Xp6elBbW4vm5mZEIhGYTCZkZ2fDZDJBJBKhtbUVx48f\\\n",
       "R0tLCyKRCA4cOIAFCxbAbDZDoVDwsRY+nw85OTln/PNIzo2f//znPAzm5+dj7Nix2L59O0pKSi7w\\\n",
       "lRFCRiIKhIQQchFLXtIYiUTg9XrR09MDl8vFZwSyOXdisRhqtRoFBQUIh8PIzc1FOBzGiRMn0NTU\\\n",
       "hLa2NjidTt6IhTWLYYPQWahkTlX1YPvtrFYrr9719vbyc5zq8YlEgocdl8vFu46yvYfsNbNOo3q9\\\n",
       "HlKplA+nl0qlkMvlvLOpWq1GXl4erFYrBEHgQ+Hj8ThycnKwbNkyXHPNNcjJyYFMJoMgCCgoKMCY\\\n",
       "MWOwefNmeDweVFZW8uWoEokEs2fPxvLly/HCCy/wURds7Ma+ffsgk8kgEomg1+vhcrn4ZyWXy5Gd\\\n",
       "nY2qqirk5ubC6/VCrVZDKpXycMve87q6OojFYtjtdowaNQq5ubl8/mA4HEZLSws2btyIrVu38nEh\\\n",
       "JpMJZWVlGDNmDMxmM3p6etDX14dEIgGZTAaVSsWXCYdCIdhsNnzyySfYvHkz/v73v5/xz+PFYsWK\\\n",
       "FSgrKzuvz3E+K4SPPPIIAJonSQi5OFAgJISQSwRb4hmLxeD1enkoTF466ff7+R5BFvbYaASXy8Vn\\\n",
       "FwKfh01WRRtoSSj7UjxQ1VAmk8FkMqGkpAS5ubk8fEQiEX4cq0IO9sWX7a1jnVEHuo5IJAK/3w+P\\\n",
       "xwOj0YhIJAKpVMoDlslkwrRp0zBq1CiMHz8eWq0WbrcbR48exeHDh2G321FQUIAJEybAarVCoVDw\\\n",
       "qqJEIsGYMWMglUpRV1cHjUaT8hq1Wi2WL1+Of/7zn2hqakrZy8eqrIWFhfB4PAiHw3A6nRCJRMjM\\\n",
       "zMRVV12F6dOnQ61Wo7u7G1KplHcwFYvFkEgkiEQiaGlpQVdXF7Zv3w6dToeMjAxkZWXx11FTU4Pa\\\n",
       "2lo4nU5eOZVKpWhoaEBNTQ0qKir4mA6LxQKz2Yzp06cjOzsbgiDAbrdj/fr1+Mtf/oLm5uaz+hkc\\\n",
       "Sb6IPYTJj2M/+4QQ8kWjQEjIJe6uu+7CvffeiyuuuOJCXwo5j9hcQYPBAIVCAZfLxSuDyeEpGo3C\\\n",
       "6/Wis7OTd7fs7OyE2+1OCYPMUGEteY8hqyiyL7ASiQQ6nQ6VlZWYPHkyDAYDTpw4wc/JOqMmh7vk\\\n",
       "Zivpz8muK3nkA/s7u4bkEKdSqWCxWKDT6TB//nzceOON/O+CIMDv9yMjIwMajQb19fW8aYtcLh9w\\\n",
       "aWdeXh6vngYCARgMBkgkEkgkEhQXF2Pu3Lno6upCMBgEAN6dtaioCOXl5cjLy0N2djba29uhVCox\\\n",
       "adIkLFy4kFdpW1tbeVMctqxVpVJBJBLxDsHJn0/y+xCNRvsF+Wg0inA4DL/fD6fTifz8fN7gZuzY\\\n",
       "sZg5cybf0ykWi+H1evv98oAM7UwC4aZNm1Jur66uxty5c4d8bFlZGRobG/ny7VgsdkbXSwghZ4oC\\\n",
       "ISGXOLfbjUWLFqGoqAhf+9rXcNdddyEvL+9CXxY5h1ilTaVSITMzE4lEAh0dHf32+wGfjzPwer3o\\\n",
       "6uri4ygGCoNDYWMedDpdyjJN9iVZrVajsrIS11xzDSZMmMCv78SJE+jp6UE0GoVCoYBcLodarYZC\\\n",
       "oUA8HuejMdh8xeTXx4ISW4bJqpA6nQ65ubnIy8uDxWJBMBhEOByGSqXC2LFjsXTpUowaNYo3YhEE\\\n",
       "gc/wY3sS2b7Cgb7ks6W2Go2GN8QxmUy8GYtarcaVV16J3bt3o7W1FYIgwGg0orKyEmVlZSgtLUVZ\\\n",
       "WRmqq6sRj8eh1WqRmZmZsuyzpKQEeXl56OjoQDgchsFggMlkQiQSQVdXF8LhMF8eO1gznoE+50Ag\\\n",
       "gM7OTsTjcRQVFfH9oyaTCXK5nDfmqaysxIQJEyCTyXDo0KFh/xyMZGcSCFevXo3Vq1en3DfUstD0\\\n",
       "yjsFdkLIhUCBkJBL3Nq1a9Hb24vXXnsNf/7zn/HEE09g0aJFuPfee3HjjTfSTMLLAPvSyEY7sNEF\\\n",
       "Q33RjMVi8Pv9vEHL6YRBVhlkcwzFYjF6e3v5uAOJRAKDwYDy8nJUVVUhPz+fh6+srCy0trYiFotB\\\n",
       "KpXCYrGgoKAAmZmZiMViaGxsxPHjx1OWP7IGK2z+n1Kp5B00lUolzGYzCgsL+fxFVlFjXUMzMjJ4\\\n",
       "GEyuYCqVSuh0Oh5G06upyVglko1vCIVCUKlUvFKXk5ODgoICuFwuxONxZGRkICcnB3q9ngdek8nE\\\n",
       "r5l1CmXLbU0mE3JycngIzM3NhdVq5aMi3G73gEPoh/OzEY1G4fP54Ha74fP5Urqwss8yOzsb48aN\\\n",
       "g1gspkA4TGcSCG+55RYsWLCA315dXX1az0d7CgkhFwIFQkIuA1arFQ899BAeeugh7Nu3D3/6059w\\\n",
       "xx13QKvV4vbbb8e3v/1tlJeXX+jLJOeASCRKaboy0P3AyUDo8Xh4OBjOF032WJlMhvz8fHzpS1/C\\\n",
       "1KlT4fV6sXXrVhw4cAAejwdarRbTpk3DbbfdhgkTJkCr1UIQBOj1er7sraurCxkZGZgxYwYmTZqE\\\n",
       "zMxMiEQi9Pb2YsuWLVi3bh2am5sRDof5fkA2giEjIwNmsxlms5nvpzObzdBoNIhGo+js7IRer0ci\\\n",
       "kcDo0aN5EGPXz/6pUqlgNBohlUrhdDpht9sRjUb7LRtN7lTa19cHr9fLZwCq1WqIxWIUFxdj+fLl\\\n",
       "sFqtCAQCKCgowMSJE/moCK1WC4VCwZdoJocJFijZsm6FQoHx48cjMzMTdrsdH330ETZs2ACbzcYr\\\n",
       "p8MNB2y2o8fjQXt7O29Yo1b///buOzrO8s4X+Hd67+pdLrLlKmNwARscbHACxLQFNgVSSEIouTdh\\\n",
       "dw/hZhN2z+69bMoJXHJNSM6ScJZLKOaGpTkstmPccJMrlm1ZlmRJVp3RSNP7zP3D53mYGUluYGwz\\\n",
       "3885Olijd2be95Wyq69+z/P7GXHFFVfILqTV1dW47bbbcOONN44ZdUCfnmXLluHBBx88r+cyDBLR\\\n",
       "xcJASPQ50t/fj3Xr1mHdunVQqVS46aab8NFHH2HGjBn4xS9+gR/96EcX+xTpPGUyGcTjcbjd7jOG\\\n",
       "PNGcQjR4Od0vmtnBRVTqysvL8dBDD+Gee+6BzWZDIpHAFVdcgW3btqGrqwsulwuLFy/G7NmzZedP\\\n",
       "4FSQXLx4MRwOBwYGBlBWVoaGhgY4HA5ZLSspKUFtbS2uu+46nDhxAj6fTwbcdDqdM6g9OwiK5ycS\\\n",
       "CVRUVKC0tBShUAgVFRVjAl72tYixFZ2dnXA4HJg1axaMRmPO8WJvo9/vR3t7O4LBIJLJJDQaDSZN\\\n",
       "mgSFQgGbzYbFixejoqICoVBINn9xOp0wm805FcHxlqSaTCbMmTMHDocDdrsdFRUVMBgMSCaTmDlz\\\n",
       "JiZNmoTXXnsNJ06cQDQazVkOfKZqsKgSisY2Xq8X7e3tWLBgAa699lo0NjbKZjMcVH/2LmRTmZqa\\\n",
       "GnR3d0OhUODaa6/Fhx9+CAD8/hDRRcFASHSZSyQSeOutt/DHP/4R77//PubMmYMf/vCH+OpXvwqr\\\n",
       "1QoAeOONN/Dtb3+bgfAyJX7ZFOMDYrGYXG453rEiECaTyQn3pIlj87te2u12rFixAqtWrUJJSQnU\\\n",
       "ajUymQymT5+O4uJieL1eaLVaWRkTFTHgVCB0Op2YPXs2pkyZAqPRCLPZLIMScCoc2e12mEwmTJ48\\\n",
       "WS5DFQ1SotEoAMhqoclkktU/cV1ixEQgEIDNZht35qG4NoVCgYGBAbS2tsLn82HmzJlyrET2L/GJ\\\n",
       "RAJdXV04fPgwvF4vBgcHkUqlZOBTq9UoKiqCwWBAPB6X8xezw+BEsxdFOC0qKoLZbIbRaJTLUQHA\\\n",
       "bDbjwQcfxFVXXYVXX30Vu3btgtvtlk2DxMfp9heKSqH4Q8DIyAhOnDiBY8eO4f7778fSpUvlKA06\\\n",
       "OxcyEHZ1dcFoNCISiWDz5s3yNdhQhoguBgZCostceXk50uk0vvKVr2DXrl1oamoac8wXvvAF2O32\\\n",
       "z/zc6JMT++IUCgXi8Ti8Xu9p98OJYCAqbqfbOyg6bFqtVjgcDlRUVODKK6/E7bffjoqKipwgJoas\\\n",
       "O51OAKe6bGbv2QM+Dj5WqxUWi0V2Bx1veaZWq4VWq5XnLEZkJBIJuf9Qp9ONCVqi86dYZnqmZXbh\\\n",
       "cBj79+/H0aNHceTIEXR3d+N//I//gS9+8YtyxEQqlYLf70d/fz9GR0fh8Xjg9Xrh8/ngdDrR1NQE\\\n",
       "u90u9+OJ8zKZTDAajacNg9n32mAwwGAw5IRo8TWn04nly5dj0aJF6OjowMGDB9HV1QW3243e3l60\\\n",
       "tLSgp6dHzkLMf+3sbrDJZBLxeBzRaBTbtm1DRUUFFi1aJO8dnb3zHSdxNsLh8AV7bSKic8FASHSZ\\\n",
       "e+qpp3DXXXdBr9dPeIzdbuf8sctUdujJHto+URAS4Ur8eyIimBmNRtTX12PevHmYN28eZs+ejfr6\\\n",
       "+nGbEYlANNFSxuzP84PgeM1S8sc/iEqiCJqnC1miqhmNRnOCZ/57BoNBeL1exGIxpFIpHD9+HKtX\\\n",
       "r4bL5cKVV14pG86kUimUlZWhvr5eVtkSiQQOHToErVaLiooKeSwAuYw1f/npme53/nVnU6lUsnLq\\\n",
       "dDpls5mTJ0/CbDZjdHRUXkf2fRCdXBUKBcLhsPy6CNler1fuS6Sz91nMISQiuhQwEBJd5u69996L\\\n",
       "fQp0ATU1NSGRSMDn88Hj8cDv95/xOWfbnEKhUMBkMqGhoQFLlizBnDlzUFpaKhupiNcSVSfRrTQ7\\\n",
       "2IigkU6nZWBVKBQ5+/rEiASxHC67ojXe3r/s551OIpFAf38/1Gq1DGzZnT3F87MrkbFYDEeOHMGa\\\n",
       "NWvgcDhQU1MDlUoFrVaL2bNnQ6lU4siRI3I8RCQSQWdnJwKBALRaray82u12pNNpuVz0TJU3cT5n\\\n",
       "Cg6ikijmPIqlud3d3di+fTu8Xq8M/OL7J0ZfjIyM4PDhwxgeHpahUKlU5uzzPJv7ejl44YUX0NXV\\\n",
       "dUHfg4GQiAoFAyER0SXsH//xHxGJRHD8+HG8//772L1794T7B8+VUqmU4xLKysrgdDrlEkgRqlKp\\\n",
       "FCKRCDweDzweDzQaDYqKimCz2QCcqkJFIhGMjIxgaGgI4XBYjpqwWCxQKpVIJBLweDwYGhqCTqeT\\\n",
       "M/pEaMwPndkVsOwgky2TyWB0dBRbt27FyMgIrrrqKlRVVaGqqkpWyzOZDFwuF+bMmYOuri4EAgEA\\\n",
       "p4JkW1sbWltbYbfbYbVaodPpUFVVBbvdjsbGRvT392NwcBCjo6MAIP8rlrUODw8jnU7L5xmNxjFL\\\n",
       "aLPPVVyfqGxOFCCyl9Sq1Wo5x9DlcsFiscj5ikqlEi6XC7feeiv+5m/+Bi6XCydOnMCLL76IzZs3\\\n",
       "IxAIQKlUorS0FAsWLDjtCgIaHwMhERUKBkIiokvY1VdfjVQqhXnz5qG4uBh9fX0IBAKfeIC1CB5i\\\n",
       "X5nYl5e99DKVSiEYDGLPnj34f//v/+H48eMoLy/HbbfdhsWLF8NisSAej6OjowNr167F7t27EQqF\\\n",
       "UF9fj5tvvhlNTU3QarXo7e3Ftm3b0NbWhpKSElxzzTWYOXOmHAmRTqcRi8UQCAQQCoWQyWSg0+ng\\\n",
       "dDrlcPX8X7jT6TS6u7uxbt06nDx5EkeOHMHMmTNx6623orq6WobNkpIS/O3f/i0GBwexb98+RKNR\\\n",
       "6PV6KJVKBINBRKNRGbQ0Go0cVVFeXo5AICDvdyQSQTQaRTgcls1vuru75ZLMyspKOBwOGQzzK6yR\\\n",
       "SAThcFjuPRyvM6ogrlepVCKTyUCr1UKv18PhcMBmsyGZTKK6uhrf+973cOutt8r9jZMmTUJZWRlK\\\n",
       "SkqwZ88eaDQaLF++HMuXL4fBYGBoISKicTEQEhFdwgwGgwxIixYtwsyZM3H8+PFPXCUUe/VEBS97\\\n",
       "/p2o2iUSCbS2tuKXv/wldu7ciVgsBoPBgEQigcbGRpjNZqRSKbS1teHtt99GR0cHEokEDh8+jJ6e\\\n",
       "Htx0000oLS1Fa2srdu7ciaGhITgcDhlm6+vrYTQaEYvFMDQ0hPb2dlmFrKmpwezZs2E2m8c9/0Qi\\\n",
       "gY6ODnR2dsLtdstmOgsXLkR5eTm0Wq3ck3fllVfiO9/5Dl566SW0tbVBo9GgtLQUOp1OLp8U9wM4\\\n",
       "1S1VDLW32+2IRCKIRCIIhULw+XxypuHIyAj27t2LTZs2IZVKweFwoKGhAbNmzUJ1dTWMRiMAIBKJ\\\n",
       "wO12Y2RkBEajEVVVVXA6ndDpdBNWC7O7sopKbm1tLTQaDSorK3HXXXdh8eLFMJvNOV1e582bh8rK\\\n",
       "SnR2dkKhUKCmpgbFxcWy0sq9hGePFUIiKhQMhERElzDxS6kYCTFp0iTZ/fN894KJ1xRt7kdHRxEK\\\n",
       "hXI6kmYyGYRCIbz11lvYuXMnAoGADF379u1DMBiUFcahoSH09PQgGAzKeYkHDx6EWq1GY2MjPB6P\\\n",
       "fI9MJoNjx47BarUiGo3CbrcjGAyipaUFe/fuxeDgILRaLWbNmoWSkhKUl5ePOX8RVj0eD+LxuOxu\\\n",
       "KsZRZFc6VSoVrFYrFixYAJ/Phy1btiAUCqG8vBwmkymncU32fQEgK3Ni/2M8HkcoFILX64XZbEYk\\\n",
       "EkF3dzcOHjwIt9uNRCIh9/VVVlaisbERdXV1MJlMsuunXq9HTU0NGhoaUFdXB4fDIYPh6VitVlx1\\\n",
       "1VUwm81oamqSYTq/g6togFNUVIRUKiWXnWbv96Szw0BIRIWCgZCI6BKWH/pMJtOnMjpAhCoxr66v\\\n",
       "rw/xeFx+LZ1Oo7+/H+vXr5dBDoAc4A5AzigUSyLFnDwRJj0eDxKJhKy0ifl9kUgEg4ODcsmpz+dD\\\n",
       "R0cHjh8/jqGhIahUKqRSKVx99dWYNWvWuOcuZvSJOYcNDQ2YM2cOysvLxwyIF2F67ty5CIfDGBgY\\\n",
       "gNPplMso8zufZlftxFJaEQ71ej10Oh0AoKenR+6dDAQC8vqDwSDcbjeOHDkil58WFRXJ2YcHDhyA\\\n",
       "3W7H9OnTsWTJEkyfPh1Wq3Xc76u4n0VFRSgpKZF7PSdacpq9B1FUYvM7z47XQZbGYiAkokLBQEhE\\\n",
       "dAkTISOZTCIajcrB7Z+ECAixWAyjo6NobW3F9u3bsWDBArhcLgCnljnu2LEDHR0dYyqHqVRKzt4T\\\n",
       "YSl/aLpY5lpbWwubzQaz2Yy2tjaEw2EZxLJHJojOpmIIezAYRCAQkPMWszuPJpNJBAIBubRUr9fj\\\n",
       "2muvxbRp0+Sg+vzKmVgm2tjYCKvVCq1WK5dbivuRTqfHPC/7v+J1M5mM7Nzp9/sRjUZzrl/co2g0\\\n",
       "Cq/Xm9MkJpVKIRQK4eTJk+jo6EBvby/uuOMOzJs3b0zFEoDsamqz2WQDHBF4TyeVSiEWi+UsLRad\\\n",
       "YEtLS8/+h6WAMRASUaFgICQiuoSJsBGPxzEyMiKXan5SovIkht1v3boVV1xxBYqKimAymdDV1YXX\\\n",
       "X39dLhXNf2528xlRKcymVqtRV1eHK664Ag6HA+Xl5bBYLOjp6YFCoYDT6URxcTHKysoAnAowoqKY\\\n",
       "SCRQXl4uRztkN9ARgWpkZAQ6nQ7Tpk1DZWUlmpqaUFJSMmHlTKlUwmQyyfEUAGQwBD4OS+KaJrrH\\\n",
       "2V8TDWbyw3D+PQYAs9mMiooKKBQKuN1ueDwexGIx9PT04NixY5g8ebIMytmdV+PxOGKxmGx4I5Z/\\\n",
       "TkQEfa/Xi56eHrjd7pyfoVgshu985zsTPp8+xkBIRIWCgZCI6BIWDoflL/l+vx/xeDynUvVJiYrb\\\n",
       "yMgIDhw4gKuuugpOpxOHDh1CZ2dnTnUwWyqVkoFHzBfMplKpUFpaiuLiYthsNmQyGbjdboTDYcTj\\\n",
       "cZhMJpjNZtlxs6amBtOmTYPf70ckEkF9fT2cTmdOOBIBVgQxtVqNoqIilJeXw2azye6h4rryq31i\\\n",
       "xp/VagUAGbAA5Mz2m2gWYn5QCwaDSCQSp/0+iMBsNptRVFQku6aKCqJer5cVxXQ6nbNsVAyWj0aj\\\n",
       "OWFxIuK8RkdH0dbWhkOHDqG3txeRSES+DgMhERHlYyAkIrqE7d27V+73GxoaQjAYlIPLJwpr5yqd\\\n",
       "TiMQCOD9999HJBJBcXExtm7dip6ennHHW6RSKYyOjiKVSiEej2NgYGBMKNLr9Zg7d66cC2g2m2Vl\\\n",
       "cXR0FCUlJSgqKoLT6YRer4fVaoXD4cCsWbMQjUZRXV2N+vp6uRw1ewlmT08P+vr6oNPpUF1djUmT\\\n",
       "Jo27ry57CWcmk4FKpYLZbJYVQhGsxR5IMSdQr9fnBDdx3mJJqwhcra2tiEajOVU9IXush9FoRHFx\\\n",
       "MSZNmoSioiKEw2EMDg7C7/fDYrGgtrZWViqz92rG43F4PB709vbC5XLB5XKN2xgm++dj9+7d2LJl\\\n",
       "C1paWjA4OIhQKIRYLDbujEc6PVYIiahQMBASEV3Cfve730GlUsFgMECv1yMcDsNut8tA9mmFwlQq\\\n",
       "BbfbjfXr10Oj0cDn88kmM+Md29fXh3A4DL/fj5aWlpygoVAoYDQaMWXKFJjNZtnpsrq6GolEAoOD\\\n",
       "gzCbzbBYLLJRi+gQKpaQiuYtIviGw2H09PTIkRYKhQK1tbWorq5GSUkJDAZDzt5BEQLFhwh2Go1G\\\n",
       "BkdRcQwGgxgYGEBvby9CoRBMJhNcLhfMZrPcVygqiYFAAEeOHMHu3bvR2tqKTCYjm8WI9xD3QKVS\\\n",
       "yb2DGo0GdrsdFRUV0Gq1mDx5MuLxOPR6PYqLi3P2D4qqq9frxYEDB3D06FHU1NTA5XLJvZaCaLCz\\\n",
       "Z88ePPvss9i1axdGR0fl3stUKiU/Pq2flULBQEhEhYKBkIjoErZ582YolUpZZSotLUVFRQUikQh6\\\n",
       "e3sRi8U+lV/0RQjx+/1yNuFESyEVCgUGBgYwNDSEEydO4NixY2POwWw2o7i4WM46VKvVsFgsqKys\\\n",
       "lEs7s0Oc6Oap0+nk5+KXbLGkdceOHdi2bRsCgQDq6+sxe/ZslJSUwGQy5eytE0FINKgR4UilUkGj\\\n",
       "0cjXFsf09fVhw4YN+PDDDzE4OAi1Wo3S0lLU19fLKqUYQN/R0YH29nZ4vV4kEgno9XrYbDZoNBpZ\\\n",
       "aRRVOTH2IZFIyL2GJpMJNptNnoNKpYJOp8sJqaKT6+7du/HGG2+gu7sbFRUVcDqdcDgcOc1w4vE4\\\n",
       "9uzZgx//+Mc4cOCAbDqUHWayl/d+GsuMCwUDIREVCgZCIqJLmM/ng0KhQDAYRDwel8PPTSYTwuEw\\\n",
       "hoaGzhgIx9sPN5780DDePkURTgFgYGAAzc3NGB4ezjlOqVTC5XLBZDLldOrUaDSwWq0yjGWPrRBL\\\n",
       "MkVQEh9iH113dzc2bdqEgwcPQqVSyeWmYuzEeF1IBwcH4fV6kUqlYLfbUVJSIruQimMDgQB2796N\\\n",
       "N998E+3t7YhGo1Aqlejs7MTg4CCsViuMRiOGhobQ0tKCjo4O+P1+ZDIZGI1G1NTUYOnSpZg3bx6s\\\n",
       "ViuGh4fR3NyM7du34+TJk4jH40gkEnIOowjCIviK6xYBL5VKIRgMYufOnXj++eexf/9+RCIR9PX1\\\n",
       "wW63Y/LkyZgyZYoMoH19fVi9ejUOHDiAcDgsl5SK15zo+0hnxkBIRIWCgZCI6BKWPT8uFAohkUig\\\n",
       "vr4ekyZNwtDQkAw8+b/wZ491EHPnRDiZqCtm9jJHhUKBeDw+Zl+cRqPB9OnTUV9fL2cVioHsIoxo\\\n",
       "NBpUVVXJx7JDpkajgclkkuchKpx6vV6eZ35Tl1gshs7OTnR0dGBkZAQGgwFarRYOh2PMCIZ0Oo1g\\\n",
       "MIiPPvoImzZtQkdHB3Q6HZqamnDttdfKJazifvT29mLLli3o7OyUVTxxHzQajRwH0draimPHjsnz\\\n",
       "VqlUcDqdWLp0Ke68807U1dVBq9UiGo2ivr5eVltHRkaQSqUQDocRDofl8lO1Wi0DWzqdlpVMn8+H\\\n",
       "5uZm/O53v8POnTvlDMhYLIYPP/wQc+fOhdVqhd1uRzQaxdatW9Hc3IxYLJYT5NVqtazExuNxxOPx\\\n",
       "cX9OaGIMhERUKBgIiYguYflNRsRIhuLiYnR2dqKlpQWxWGzM89RqNSorK7F06VJMnz4d6XQara2t\\\n",
       "2LNnD06ePCnDjyBCkNlshtVqRSAQwOjoqAxzImTU19fj61//umz+YjabZQMW4FR3UYfDgdraWkQi\\\n",
       "EUSjUVkJzA6MAOTySjHXL384e3ZHTzGTUKFQQKfToaSkBEajccyeQREe33zzTWzatAlerxcGgwGB\\\n",
       "QAA1NTVyGWs6ncbIyAj27duHo0ePIhKJyKCsVCphtVrx5S9/GV/4whegUqkwefJkKBQKJBIJDAwM\\\n",
       "wGw2Y+HChfjSl76ESZMmyb19arUaFRUVqKurg9VqlWNCxGxFMQJCnLMIi8PDwzhx4gQ+/PBD/Nd/\\\n",
       "/ReOHDmCcDgs92am02n09vZizZo1MuCGw2EcPHgQqVQKKpVK/qxotVrYbDaUlZXBYDAgFArB6/Ui\\\n",
       "FApNuC+UiIgKFwMhEdFlIHuPn16vR3l5ORYuXIj169fLsCSo1WrMmDEDv/jFL7Bo0SIYDAYAH3cH\\\n",
       "/fDDD/HTn/4U3d3dsrKkVCphsVhkkOns7ITf7wfwcVisrq7GT37yE3zxi1+E0WhEOBzGkiVLcPDg\\\n",
       "QRw5cgTJZBKlpaVYvHgxGhsb0dXVJYfRG41G1NbWori4GHq9HiqVCvF4HCdOnMDg4CDKy8sxY8YM\\\n",
       "uFyuMTMAVSoVysrKMG3aNFgsFpSVlWHy5MlIJpNyr57495EjR/Af//EfWL9+PdxuN5LJpAys1dXV\\\n",
       "ci/m6Ogodu7cibVr18Lj8eTsY6yvr8e//Mu/4Itf/KK8dxaLBffffz9uuukmeDweGUodDgd0Ol3O\\\n",
       "kk+fzwev14tMJiP3Nvr9fuzfv1/et+LiYsTjcRw6dAhvvPEGdu7cieHhYdkRNH+/n6h87t69G11d\\\n",
       "Xbjqqqtw5ZVXorKyEnfeeSfa29sxMjICALDZbKiqqkJZWRl0Op0MnCMjIwiHwxf05/TzhBVCIioU\\\n",
       "DIRERJeJTCaDYDCYs4dNVNXEckCFQgG9Xo/58+ejsbERRqNR7stTq9UoLi7GDTfcAK/Xi5dffhmt\\\n",
       "ra0Ih8Pya0VFRYjH44hGo2NGFBiNRpSWlsoApNFoUF5ejgULFsBsNkOv12PGjBmYOXMmrFYrBgcH\\\n",
       "sXPnThw7dgx6vR7Lli3D8uXLUVZWJgNUMBjEyZMnEY1GUVFRAbvdLiuIgtiTKLqWOhwOKJVKuN1u\\\n",
       "OUze5/NheHgY69atw86dO2XTF1FljMVi6O7uxq5du2A0GtHV1YWDBw+iu7sb6XQaWq0WRqMR1dXV\\\n",
       "ePDBB7F8+XI5+0+cg16vR1VVFcrLy2WAFBXNZDKJSCSC9vZ2vPHGG1i3bh36+vqQSCRkk55wOIyB\\\n",
       "gQHs378fRUVF6O/vx+7du2Uwn2gpr/jeA6eWubrdbhw9ehRXXHEFFi5cCKfTKRvRjI6OIhAIyCWq\\\n",
       "wWAQmUwGJpNJznyks8NASESFgoGQiOgykclkEIlE0N/fj0AggFgsJoeri6qSUqmE2WxGXV3dmFEM\\\n",
       "IsSYTCbccsstcDqdWLt2LY4dO4Z4PA6n0wmr1SqHmWcHlHQ6Da/XixMnTmDOnDlyHyAAVFRUyLA0\\\n",
       "ffp0uFwuxGIx9PX14dixYzh06JCscJWXl8tGLdn73KLRqFxOmT1rL3tkhMFggMlkQiaTQU9PD3w+\\\n",
       "HzQaDWKxGAYGBuDxeLB//34MDAwgHo/LZjUiuI2MjGD//v0IhULo6+vD8PCwbCJjt9tRU1ODO+64\\\n",
       "A7fccgvMZvOYmYZiuWv2vkURNgcHB/Hee+/hT3/6E1pbW3P2I4rvgUKhQG9vLw4dOiSvWSwLPV1H\\\n",
       "1+xzACC7lpaUlGDq1KmyUU86nZazGjs6OvDRRx+hs7MTPp8Per0epaWlKCkp+ZR/Kj+/GAiJqFAw\\\n",
       "EBIRXUYSiQT6+/sxPDyMUCgk5/WJaphGo5HVuokolUo4nU4sXrwYOp0O27dvR09PDzQajVyqmF+t\\\n",
       "Envu3nrrLTmOIRwOo7OzEx6PB3q9HhUVFSgvL4fZbEYsFpOD1CORCOLxOI4fP47m5mZMmzZNnndF\\\n",
       "RQXi8TiUSmVOV1JxDqJDZ3d3N7q7uzEwMCCrl2LQuthnGI/H4fV6ZbAUYUyMmvD7/fD5fBgZGYHf\\\n",
       "75f76QwGA8rKynDddddh+fLlsgIpzkMsSRWjK0TFVXytu7sbTz31FN544w05H1IYLyhkh8nTNXkR\\\n",
       "S1gByFmC2V+rrq6GxWKRATV7ierQ0BDcbjeOHz+OSCSC4uJiVFdXo7i4+Iw/Y3QKAyERFQoGQiKi\\\n",
       "y4gYIO/xeBCPx2GxWGA2m5FMJpFKpaDVaqHT6RCNRsd0Cc2mVqths9lQX1+P/v5+RKNRJBIJJJNJ\\\n",
       "WXXMH1cQj8exa9cu/OEPf8CCBQsQiURw5MgRuN1uVFRUYOrUqdBoNNDpdNBoNJg0aRKamppw/Phx\\\n",
       "eL1eOfPP5/OhrKxMLtEsKioCgJwOoGLP5OjoKA4cOICNGzfi8OHDMvCJCqC4FhGKspfOikAInGpg\\\n",
       "k0gkkEgkEIlE5BJNEfAcDgfq6+vhcDhkgxYx9H1oaAjDw8Mwm81y7qFoTDM6OooXX3wRa9asgc/n\\\n",
       "G3O/z7erp1qthsvlQkNDA9LptJx9KBrI2O12lJeX58xfFNer0+lgMpkQDAblfS8qKoLdbmcgPEcM\\\n",
       "ekRUCBgIiYguEyKgDQ8Pw+12Q6/Xw+l0wuVyyQqZ6OgpGoicbimiWE6ZTCZlINTpdLDZbDCZTAgE\\\n",
       "AjmdSEUA+uCDD3D48GHZQCWRSKCvrw8zZ87EggUL5MiG8vJy3HnnnYhGo9ixYwcymYycAyiCo8Fg\\\n",
       "gNVqBQC5tFKEwZGREezcuRNr1qzBnj17MDIyIscniPPKHu4uxjmo1Wqk02lZgRPXll2ZE18TVb54\\\n",
       "PI5wOCyrmeLxHTt24J133kFvby8mT56Mm266Se7NTCQSaGlpwZtvvolAIPCpjXQQ1dIbbrgBd911\\\n",
       "F5RKJdauXYt33nkHw8PD0Gq1qKurg8PhGBNYxF5Ru90u77V4PYfDAYvF8qmcIxERfX4wEBIRXeKy\\\n",
       "K0DpdBoejwc9PT0oKyuDXq+H3W6Hz+eTIUns3xseHkZNTc2Er5tKpeD1etHZ2Ym+vj5ZlTKbzSgu\\\n",
       "LpavmR0KU6kURkZGZLMS0d00nU6ju7tbLqsUA+xnzJiBhx9+GAsWLMCJEydQVlYGl8sl5yOOV4ER\\\n",
       "3VQ3bdqE559/HgcPHoTf70cymRyzzDI75ImRFCIQxuNxudQTQM5+QtHUJpPJIB6PY3BwEPv27UN5\\\n",
       "eTmSySR0Oh16e3vx85//HC0tLYjH4zh48CBGR0dxzz33oL6+HtFoFDt37oTb7Z5wrmP2LMbxvpY/\\\n",
       "NgM4tRzU5XLh6quvxuzZs6HVamE2mxEIBLBz507odDosXLhQ7h3MJ8ZmTJo0CS6XC+FwGFarVVZ+\\\n",
       "6exwySgRFQr+fwYiokuYqPgBp37RF81d2tvbAZwKaBqNRv6in0wmEQgE0NbWhr1792LatGnjBq90\\\n",
       "Oo1QKITW1lYcPXoUg4ODMBqNsnPplClTZLCMRCI5jU/Ev8U+P7FUE4Ac8SCWaup0OlRXV8Nut2Nw\\\n",
       "cBDpdFoGwvF+4RaVuaNHj+L3v/899u7dm/P+Ey3J1Gg0MBgMcDgciEajcklofsMWjUYjO6/GYjEk\\\n",
       "EgnE43EMDQ1h+/bt8Hq9mDp1KhQKBVpaWrBr1y5EIhEAp4L2tm3bUFpaKhv4hMPhnGvJntmo0+mg\\\n",
       "UCjk+2QPjtdoNLBYLLDZbAAAv9+PUCgkv59i3IXoGltdXY0bbrhBnv/VV18NvV4/4R5FrVaLmpoa\\\n",
       "VFVVwev1yv2ZohEQnRkDIREVCgZCIqJLmEajyVnimEwm4fP5cOLECajVapjNZrn3L5FIyLmCnZ2d\\\n",
       "ePnll9HY2Iirr756zLiBdDqN4eFhHDhwAN3d3QgGg4jH4yguLkZVVRVKSkpQXFyMY8eOobu7GyMj\\\n",
       "I4hEIjnzDkX4EZ1Na2pqZDgSxLB2i8Uixy/kdz/NF4vFsHHjRrS0tCAcDucsDxXvK4glo06nEyUl\\\n",
       "JaisrMTQ0BACgYAcep99nmJ8hUKhQHd3N4aGhmRgi0aj8Hg82LdvHwDI1xDvr1QqEQgE4Ha7EY1G\\\n",
       "4XQ60djYiNmzZyMajSIUCgE4NZ6jqqoK9fX1iMViOHr0KAYGBmQY0+l0qK2txdKlSzF9+nREIhHs\\\n",
       "27cP+/fvx/DwMIBTwb6trQ3z5s2DWq2GUqlEbW0tFi1aBJvNhpqaGjnyIp+4ZqVSCYPBIINpJBJB\\\n",
       "MBg8y588YiAkokLBQEhEdAnL3usm/h2JRDA0NCSXeIq5c2KvnFgG2dzcjJ/85Cd45plnMHfu3Jzl\\\n",
       "gslkEr29vWhra5N789RqNVKpFBwOB2prazF9+nRMmTIFLS0tOHbsGAYHB2W1TFQARUVr+vTpsrKW\\\n",
       "PzZCyG7yMpFMJgOfz4f9+/cjGo3K98pe5ika6IivWSwWzJo1Cw0NDaipqUFrays8Hg98Pl/Oezsc\\\n",
       "Dtx+++1YtmwZRkZG8Prrr8Pr9crRDyIUBgIBuTw3OwxqNBq4XC5MnjwZVVVVcLlcKCoqgtVqxcaN\\\n",
       "G9He3g6tVotp06Zhzpw5KCkpwfDwMNavX4/NmzfD4/FArVZj8uTJuOWWW3D11VfDbrfD7/fDYrFg\\\n",
       "dHQU0WgUkUgE4XAYLS0t2LlzJ5LJJLRaLSKRCIxGIywWy2mXfqZSKQwPD+Ojjz5Cd3c3wuEwDAYD\\\n",
       "PB4PTCbTWf/sFToGQiIqFAyERESXMLEHTgQr8e9gMIje3l7Z1CUQCMjOm+LYaDSK5uZmfP/738fq\\\n",
       "1avR1NQkh75HIhF0dXXJapcIP6IhSXl5OfR6PRwOB7RarezEmclk4HQ6UVpaCr1eL5u8VFVVobS0\\\n",
       "dMx4BBHgQqGQDJRFRUUoKSmRy0uzj43FYmhra8PQ0BBUKpUcT1FcXAyXy4VIJIK+vj65p1Cr1aK6\\\n",
       "uhpLlizB1KlTUVZWhpKSEpw8eVJW5cQMwxtuuAEPPfQQSkpKMDo6ira2NuzevTsn+IlAKwKoRqOR\\\n",
       "Q+nr6uqwatUq3HjjjbIaCgBFRUW44oorEAqFoFKpYDAYoNVqkU6n4fP55D09efIkHA4H5s+fj7lz\\\n",
       "58LlcgE4FfotFgt0Op38nodCIXR0dGD9+vXwer1wOBwIBoMIBAJwOp1wOp0wm81jRnUkEgn09PTg\\\n",
       "T3/6E9588035h4NAIDBhRZHGx0BIRIWCgZCI6BKWHa4E8Yt/MBiUYW68hiuiUrh//37ce++9eOKJ\\\n",
       "J7B8+XIYjUb09vaivb1ddiIV+9pMJhNsNhusVqvco1ZUVCTnC5aVlaGxsRE1NTWy02YwGEQsFoNO\\\n",
       "p5PdNsVMw2g0isHBQezduxc7d+7EyMgIqqurceONN2LOnDmwWq1yzEMsFkN7ezveffdd+P1+WK1W\\\n",
       "WK1WzJ07F4sWLUJ5eTncbjc2btyI5uZmjI6OQq/Xo7KyEtXV1SgtLUVRURGUSiVmzZqFgwcPyipj\\\n",
       "XV0dHnjgAdTW1sr5fg0NDbLqKO4XcOqXe4PBIJeh2u12TJ48Gddddx0WLlwow6wIAeK+ZQd38T0B\\\n",
       "gClTpsBkMiEcDsNms6G0tBQ2mw1qtRqxWAzxeBzDw8OyWinmI7rdbiQSCbjdbhiNRoRCIQSDQajV\\\n",
       "auzZswd33HEHFixYAJvNhkwmA6/Xi61bt+L//t//iwMHDsjlriqVCoFAAJFIBIFA4AL9pH7+MBAS\\\n",
       "UaFgICQiugzlL53M7gSaL5lM4vjx43jkkUewdOlSXH/99XJJYjwelwHJYrHA5XLJapVoVqPT6WC1\\\n",
       "WmE0GjFlyhRMnToVxcXFcn9jKBTC8PAwRkZGMDQ0JMc4uN1uHD58GHv27EFHRwd8Ph+SySRUKhVe\\\n",
       "eeUVzJs3D8uWLcPkyZORyWTQ2tqKjRs34ujRo4jFYnA6nbjuuutw6623or6+HhqNBh6PB36/H93d\\\n",
       "3YjFYrLiKRrJJJNJKJVKOY4jEAhAr9fjlltuwcyZM+XcPo1Gg5KSEhgMhpwurmLG39KlS3Hbbbdh\\\n",
       "3rx5MJlMshonqqXZASD739l7FkXFVSzxFF1QDQaDnGMYj8fh8XjQ1taGgYEBOS8R+HgYfSgUgkKh\\\n",
       "QDwel81yjh8/ji1btqCqqgrFxcWyAdDAwABCoVBOd9VkMin3mPr9/s9FePna176GKVOmXOzTICL6\\\n",
       "XGAgJCK6jJ3t7DsxQ/Avf/kLtm3bhpKSEjl/UKVSwWg0wuFwoKioCGazGVqtFmq1GlqtFgaDAWaz\\\n",
       "GQBkMNRoNHIJouh8unfvXrlvbWBgAMPDwwgEAojFYjldQhUKBYLBIPr6+rB+/XpZiRSBR1QYnU4n\\\n",
       "pk+fLgfGp1IpWZkTyzzj8Ti8Xi+OHz8um+pEIhF4PB6oVCpYrVZUVFRg6dKlOV05M5mMXIrqdrtl\\\n",
       "MC4tLcVXv/pVfOtb30JlZeWYbqhnClPjhUO1Wg2TySRnJIowKAJaZ2cnjh07htHRUSQSCRnuRdVU\\\n",
       "VBqz/wCQSCTkXtL80RXjdWJNpVIIh8MYGBg4q58XYoWQiAoHAyER0WVGNGfJnsF3NsFQLDX1er0I\\\n",
       "BoPQaDRyQLwYlZD9IcKg3W6XIxH0er2sTorqYEdHB95//31s3LgRJ06cgN/vHxMC888D+LhyFQ6H\\\n",
       "c74mAp94HeBUtSwajcLtdqOjowNerxeRSARKpRIejwctLS05X2ttbYXb7ZYzBRUKBZLJpBzjEQgE\\\n",
       "MDo6iurqarm0sr6+Hl/96ldx4403wul0nrYT6pnusxh5kU6nZVMcEQZFQAuFQhgYGEBrayv6+vpk\\\n",
       "GM6+X9nhcLzv89n+QUA8XyxHpTNjICSiQsFASER0GRFjHEwmE/R6PWKxGMLhcE5lCTh9UBB7C5PJ\\\n",
       "JOLxuGy80tPTg+PHj2PatGkoLS2FwWCA0WhEcXExlEolotEo9Hq9DHGRSARtbW146623sHHjxjEz\\\n",
       "C88lrOR/nkqlMDIygp07d2LKlCkoLS3F0NAQtm3bhh07dsDj8SAajUKhUMDr9eLQoUOyKYvf70cg\\\n",
       "EEAikYBSqcSJEyewYcMGuX/P7/ejpaUFe/fulUPeGxoasGTJEsyYMUPuazwfYu9gLBZDNBpFMpnM\\\n",
       "CdvAx+FWLBVta2tDIBAYM15D/Huiyt94ThdiziXgEAMhERUOBkIiosuEUqmEVqtFcXExpk6dCqfT\\\n",
       "CY/Hg5MnT8rREWIpZSqVklW88YjQJY6Nx+OIRCKIRCJQq9Ww2WyYMmUK9Ho9bDYbdDodotGoHM/g\\\n",
       "8/nQ1taGd955B5s3b8bQ0FBOl9OzDYMTEeM1tmzZAo/HA4fDgaGhIXR3d2N4eFjupVMoFHI5pKgs\\\n",
       "Zl+3QqFAb28vXnnlFWzduhU6nQ6jo6MIBoNQqVQoLy/HNddcgwULFmDq1Kk5XTvP55zFMtCRkREk\\\n",
       "Egno9XqYzWbZtTSVSiEWi8kwePDgQZw8eVKGW1FBFLKrwCIcjkc8V4yl0Ov1SKfTOcFUHJc9joMm\\\n",
       "xkBIRIWCgZCI6DIgfuG3WCyYNGkS5s6dC5vNBp/Ph5KSEng8HvlLvxjxkB2cJpIdDJPJJDo7O/Gf\\\n",
       "//mf0Ol0uPfee1FTUyNHPxiNRkQiEYyOjqKrqwvr1q3D1q1bMTg4iHg8nhMEx5tDeK5SqRTcbjdG\\\n",
       "R0dl8BPnmr+sUjRiGe890+k0BgYGMDQ0lHOOarUaoVAItbW1SKVSOdW4/GArlo9O9Iu/CIMDAwPY\\\n",
       "s2cPTpw4AZPJhKlTp2LSpElyDIVoInPw4EFs2bIFBw4ckN1ERSVRvFd291MR8McL22IA/YwZM7Bq\\\n",
       "1SrMnTsXRqMRwWAQAwMD6OrqQnd3NzweDyKRCDZv3nze35NCwkBIRIWCgZCI6BInfjFVqVTQ6XRQ\\\n",
       "qVQIBoPy8crKSkyaNAkOhwMGgwFutxu7du3C3r17xywlnYgIGolEAv39/fjP//xPNDY2ory8HAaD\\\n",
       "QS5VFRWm/v5+HDlyBF6vN6f6pFQqZaDJ3kd3PkQQGm/0Rv5x5/M6ohnOvn37MG/ePFRWVkKlUsnu\\\n",
       "qaJqqtVq5RJdcQ/Gew+fz4f169djzZo16O/vh8ViwZVXXokvfelLmDZtGvR6PXw+Hw4ePIi1a9fi\\\n",
       "wIED8Hg8OdVOsXdTrVbLaq8Ih/F4XFb7soOq0WjEsmXL8Pjjj2PmzJly6ayoRgYCAQwPD8tGPwyE\\\n",
       "RESUjYGQiOgyIZq4dHZ2Ynh4WM4MrKmpQX19PaZOnQqz2Yz+/n709vaipaVFhsb80DTR8kMRnvr6\\\n",
       "+rB582Zcf/31sNlsMuSJJjQiPAIfV8/EUHar1QqtVotgMIjR0VEZeD7pMtJPmwhZ3d3dePfdd2Ew\\\n",
       "GNDY2AiFQoGBgQH09PQgnU5j8uTJmDFjBsrLy2E0GuXyz+zXSSaTGBgYwIYNG3DgwAEEAgEoFAr0\\\n",
       "9PTA7Xbj9ttvR3V1NYaGhrB582Y0NzdjaGhI7t8EIKuD2a+d3QHWYrEgFovB6/UiEAgglUrBZDJh\\\n",
       "wYIF+OEPf4impibZQEe8pk6ng9lsRlFREWpra+VcRjozVgiJqFAwEBIRXeLEL/eiM2UkEsHg4CA0\\\n",
       "Gg3MZjMikQgmT54Mq9UKu92OeDwOnU43bgjLruKJ8DdeU5d4PI7W1lZ4PB6UlpbKkKJUKqHX61FS\\\n",
       "UoLKykoMDg7KgGS32zFp0iRMmjQJGo0GnZ2dOHToEAYHB8ftoDleQMz+JfzT2It4JiJk79u3D6FQ\\\n",
       "CFVVVQiFQujt7UUgEEBRURGuvvpqOYdQoVDICp64JyIci0pcOByWITgWi+H9999HMBjEddddh3g8\\\n",
       "jo6OjpygLO6rIPZ0plIpuZ9z3rx5+NKXvoT6+no5aF4spa2rq0NdXZ0ckSHuIwD5vVGpVNBqtXJ8\\\n",
       "CJ0ZAyERFQoGQiKiS1j2L/iiEiVCUjQalV09Kysr0djYCJPJhFQqhWAwOCaEiTCo1WpltUkMQh8v\\\n",
       "FLrdbhw5cgTV1dWwWCxQKpVyeWhxcTHmzp2LZDIJr9cLo9EoK2klJSWyI+nIyAii0SiCwWDOkk2x\\\n",
       "nDQ7kGYvmVQoFIjFYuOe26ctlUrB7/fj0KFDaG1tld1XxXgKMauwsrJSjsVQqVRyb6W4LzqdDmVl\\\n",
       "ZXK0hfh+jY6Oorm5GUajERUVFWNCsfgei+AmgqTYN5hMJjFt2jRcffXVcLlcOfMfRaDMDqj5RLAR\\\n",
       "501nh4GQiAoFAyER0SVMLM8Uv/xnV/2y5wpu27YNRUVFuPLKKzEwMIBjx44hHA6P2b+nUCig0+lg\\\n",
       "t9tlmJxon57P58M777wDrVaLhoYGGQpjsRgUCgVqa2sBAJFIBA6HA7W1tSgvL4dWq8XIyAicTieK\\\n",
       "iorg8/lgMBhkUxyz2YxkMgm32w2PxyPPU6VSwWQyoaSkBFqtFgMDA/B6vTkNYy6U7E6l2SFaNOgZ\\\n",
       "GRmB3+9HKBSS522xWDB58mSUlpbKSt78+fOxY8cOOUZCVGHFvsu6ujrU1taivb1dzj8U3xeNRgOt\\\n",
       "ViuDvPhaPB6HwWCA2WyGRqPJqf6dS1j+NBr9XCpeeOEFdHV1XdD3YCAkokLBQEhE40okEvjHf/xH\\\n",
       "rF27Fh0dHbDZbFixYgX+7d/+DRUVFad97urVq/HLX/4SAwMDmDt3Ln7zm99gwYIF8uvRaBR/93d/\\\n",
       "h1deeQWxWAwrV67Es88+i9LS0gt9WZedL3zhC/D7/XIvWv4eMBEK+/r68Oc//xl79+6V+wxFlStf\\\n",
       "Op1GMBiUyxKB3D2F4pfbUCiEzZs3o7W1FVVVVaitrUVdXR2Kioqg0WiQTCbhcrmg1WpRUlKCiooK\\\n",
       "2O12+RrFxcUoLy+X71NcXIyGhgbU1dVBrVajvb0d69atw+HDhxEKhWSF0OVyoaqqChaLBS0tLfD7\\\n",
       "/eMG1rMJONnLOs80m3G8/4rq4fDwMHw+HxKJBA4ePIiWlhaoVCrMnz8fS5YsQUVFBQwGA5qamtDU\\\n",
       "1IT+/n4Eg8Gc71E0GoXD4YDdbkdbWxuGh4fHVEhFQxhRIQRO/W9xdHR03OY8+d1IzxRMzuYYOoWB\\\n",
       "kIgKBQMhEY0rHA5j7969+OlPf4q5c+diZGQE//2//3esWrUKzc3NEz7v1VdfxaOPPornnnsOCxcu\\\n",
       "xNNPP42VK1eitbUVJSUlAIAf/ehHePfdd7FmzRrYbDY88sgjuOOOO7Bt27bP6vIuG7/+9a/h8/mw\\\n",
       "detW/Md//AdaW1vHBL3s7qDDw8Py8/ECRCaTQTQazalC5QfB7K6WHo8HXq8Xx44dg8FgQHFxMerr\\\n",
       "61FbWwu73Q6DwQCXywWNRiP3MKrVapjNZhnGHA4H0uk0qqqqMH36dFRWVkKr1aKurg4ejwft7e2y\\\n",
       "ohYOhxEIBGCxWDBz5kwEAgG0tbUhGo3m7LcTyyvFNYjwlH1fRGdUlUoll16eTXUsf6RFJBKBx+OB\\\n",
       "z+eT92RgYACxWAxarRZVVVWw2+0wm82oqKjA0qVLsXv3boTD4ZzzisViUKlUsFqtKCoqkoPqxTWI\\\n",
       "4KzX63NmOqZSKbS2tmJoaAgmk0k+b6Jzzg8n4vUTiQQSiQQsFssZ7wERERUOBkIiGpfNZsO6dety\\\n",
       "Hvs//+f/YMGCBeju7kZNTc24z/v1r3+N7373u/jWt74FAHjuuefw7rvv4g9/+AN+/OMfw+fz4fnn\\\n",
       "n8ef/vQnXH/99QCAP/7xj2hsbMSOHTuwaNGiC3thl5nKykoUFxdDqVSipaUF3d3dE+75E6ECwGlH\\\n",
       "PYw3PH6iUQrZg+7Fa4p9aOFwGGazWY6+UCqVctmjSqVCcXExqqqqEIlEEI/H4XK5ZHDSaDSw2+2w\\\n",
       "2Ww57yOasyQSCZSWlqKsrAwnT57MCcFiH2R2NU0EKHHeorqTvS/vfCWTSdkoJjs8ZzIZRCIRWW0F\\\n",
       "AK1Wi/LycjgcDpw8eTLnXouxEQaDQVYGs6t7Yu+iWq2GRqOBWq2W972/vx89PT2oqqqCSqUaN/RN\\\n",
       "9L0UjXOGhoYwMDCAJUuWnPe9KCSsEBJRoWAgJKKz5vP5oFAo5LLAfPF4HHv27MHjjz8uH1MqlVix\\\n",
       "YgW2b98OANizZw8SiQRWrFghj5k+fTpqamqwfft2BsI8ZrMZmUwGc+bMwd///d8jGAziL3/5y7j7\\\n",
       "AyfqKpr97/yqoHg8/5ff/L2K4jHR6CQUCuHkyZOy46jYZ6jVauWHmKUn9gsajUbo9Xro9XpotVrY\\\n",
       "bDa4XK6c5jKiAtff34/p06dj0aJFCAaDaGlpQTgcBgDo9XqUlZVhypQpsFqt6O/vR1tbG4LB4Jiq\\\n",
       "nAiH+cPeTyd/GWY0GkVfXx9GR0dht9vhdDpRUlKC0dFRqNVqBINBBINBWK1WaDQa1NTUYMaMGTh2\\\n",
       "7BiSyaR8Pa/Xi48++ggOhwPd3d05TX9EVTcYDMpZiDqdTjbWaW1txe9//3toNBrMmzdPzoYUzxXX\\\n",
       "LKqy2VXeY8eO4bnnnsOGDRvg9XrhdrvP4iePGAiJqFAwEBLRWYlGo3jsscfwla98BVarddxjPB4P\\\n",
       "UqnUmL2ApaWlOHr0KABgYGAAWq12TKgsLS3FwMDAhO8fi8UQi8Xk536//zyv5PIifinV6XSYNm0a\\\n",
       "nnrqKRQXF2PNmjUYHR0dd2xE9tLP/DEOp5sHKI6b6BgRPCKRCJLJJDweDzKZDFpbW3H8+HEYDAbc\\\n",
       "d999svOmVquFXq/H0NAQtm3bBpVKhYULF2LJkiUoKSmBTqdDdXU1tFptTjAKhUJoa2vD9ddfj0WL\\\n",
       "FsHpdOL111/H0aNHEY/HYbVaMX/+fPzt3/4tGhsboVKpcOzYMezduxe/+93v0NfXJ++LqKaqVCq5\\\n",
       "xPRcmqqI/ZYHDhyAy+XCkiVLUF9fD6fTKZfnKpVKeDwe6HQ6GI1GAEBVVRVMJhMikYisfno8Hqxd\\\n",
       "uxZqtRqRSCSn4ijeKxKJAIB8HRGoh4aG8Pbbb2P79u1YsWIFvv71r2P69OkwGo1QKpVygH32dfp8\\\n",
       "Prz++uv4+c9/jv7+/nH3YdLpMegRUSFgICQiAMBLL72EBx54QH7+l7/8BUuXLgVwqqnF3XffjUwm\\\n",
       "g9/+9rcX5fyefPJJ/PM//3POY0888cRFOZeLRcz6u/nmm9HW1oaPPvoIoVBILiscr/In5tCJJYki\\\n",
       "OGQvfcyuoJ1pgHx2aMwee3Dy5EmsWbMGS5cuxaxZs+RrjY6OYtu2bfjggw8Qj8dx/PhxaLVaXHfd\\\n",
       "ddDpdHA4HHA4HDLEidcOBoOIRCKwWCyoqqqCw+GQr5lMJqHRaFBVVYXy8nJoNBq4XC5MnToVe/bs\\\n",
       "wbvvvjsmKOv1eigUCoRCoQmb7YzXcEWEYK/Xi+bmZjgcDsyZMwc2mw1KpRKjo6MYGhqCz+dDd3c3\\\n",
       "rFYrgsEgTpw4kbOEFfh4jmR+J9P890skEojH4zkVXfExNDSEdevWIRaLYdWqVWhoaIDZbIZKpYJa\\\n",
       "rZYfsVgMBw8exOuvvw632/2JlswWqs+yQpj9/M9DF1giurwwEBIRAGDVqlVYuHCh/LyyshLAx2Gw\\\n",
       "q6sLf/3rXyesDgJAUVERVCoVBgcHcx4fHBxEWVkZAKCsrAzxeFwuvxvvmPE8/vjjePTRR+Xnfr8f\\\n",
       "//7v/35O13i5yl6ymU6nUVJSgmuvvRZWqxVerxfhcBjBYBA+ny+ne2h22BOvk728MHs2nagyZb9f\\\n",
       "PvFaYvRBdgiNRqM4dOgQXnrpJfzDP/wDHA4H4vE4Ojs7sWfPHvT19cmZfAqFAi6XC9OnT5dVwqNH\\\n",
       "j+ZUsKLRKDweD6LRKOLxuNyHmEgkEIlEEAqFYDKZoNPpZBjSarW46aabsH79ermnT6FQQK/Xo6Gh\\\n",
       "AbW1teju7sbRo0cRCAQmrJjldy8VIa2npwcbN25EJBJBTU0NotEouru7cfLkSfj9fmQyGVkd9Xg8\\\n",
       "iEQiY5r/nEuXz4maw4RCIRw7dgzbtm3D8PAwbDabrAwaDAbodDoEAgFs3boVXV1d41aR6cw+q0Ao\\\n",
       "xrcQEV0sDIREBACwWCxjug+KMNjW1oaNGzfC5XKd9jW0Wi3mz5+PDRs24LbbbgNwKsRs2LABjzzy\\\n",
       "CABg/vz50Gg02LBhA+68804AQGtrK7q7u7F48eIJX1un08kmIoUkFAoBOFVdisViGB4exujoKCZP\\\n",
       "nizHN4hgsn//fhw6dAiDg4NyX1724HKNRiOHqItllBqNBhqNBul0GtFoVA6eH49SqYRer4fNZgNw\\\n",
       "ak9pdnOUUCiEt956C9deey0WLVqEZDKJrq4uuN1uGVJTqRSam5vx8ssv495774VarUZtbS2MRmNO\\\n",
       "s5xkMonOzk60t7ejr68Pvb29iMViSCaTMhSKICsqoDqdDldffTXKy8vljD/x+t/+9rdx1VVXIRwO\\\n",
       "Y+3atXjllVfQ29ubUy3MD9DZFVBxfzo6OuD3+1FUVIRUKoXh4WH4/X7Z1EY0sQEwbvMf4ONKpDjv\\\n",
       "bOJ7otVqcyq2orKr1WphtVphsVjg9/uxf/9++Hw+DA8PIxqNQq1Ww2KxQKfTYWhoCNFoVF4XQ+G5\\\n",
       "+SwC4Ysvvoju7m5YLBYEAoHzeg0iok+KgZCIxpVIJPA3f/M32Lt3L9555x2kUim5x8/pdEKr1QIA\\\n",
       "li9fjttvv10GvkcffRTf+MY3cOWVV2LBggV4+umnEQqFZNdRm82G+++/H48++iicTiesVit+8IMf\\\n",
       "YPHixWwoM46XX35Z7tsLBAJIJpOw2WyYNGkS6uvrYbfbkclkMDg4CKvViuHhYXg8njGjGMQ+RL1e\\\n",
       "DwByTISYIzg0NISenh5ZWcsnwkhlZSVmzJiBVCqFQ4cO5YSqVCqF/v5+vPXWW6ioqIBOp8PIyIgc\\\n",
       "gSGOCQQC2LBhA4qKitDU1CSby4RCIdmEJZ1Oo7OzE5s3b4bH44Hb7ZZBVgSk7G6b4r9VVVW44YYb\\\n",
       "MDg4iFgsBqfTiTvuuAM33XQTXC4XFAoFpkyZgilTpuCZZ55Ba2ur3MsnqqVarRZKpVI2dMmu0Eaj\\\n",
       "UfT392NoaAgAchriZJ+HCJUT3UtR1cwOheIei+Y7ImCq1WooFAqYTCbU1NRg9uzZqK2tRTgcxsGD\\\n",
       "B3Hw4EEZuoFTf5gxm81yf6EYu0EX3gcffJDz+ezZs0/b1fW+++4DcGrFA/crEtHFwkBIROPq7e3F\\\n",
       "W2+9BQBoamrK+drGjRuxbNkyAEB7ezs8Ho/82j333AO3242f/exnGBgYQFNTE957772cRjNPPfUU\\\n",
       "lEol7rzzzpzB9DTWr371K6RSKRlMrFYr5syZg/r6erhcLlmt02q18Pl82LlzJw4fPpyzR010BtXp\\\n",
       "dDCZTLBYLKisrMTUqVMxadIk6HQ6HDhwAH/5y19kRTKfSqWC0+nEF77wBVx//fXIZDJ499138c47\\\n",
       "78hzE10tP/roIxw/fhwVFRVIJpNjwpFosPL+++8jmUxCrVajpKQEbrcb4XBYvpbH48HevXsRi8UQ\\\n",
       "jUYBfLxs1Wg0jpnHp1AoZGObkydPore3FwsXLsRdd92F4uJiudTV5XLhlltuQTAYxG9+8xv09PQg\\\n",
       "kUgAgKywmUwmOZA+f9lnMpkcd+5h9ueiopdPnL/BYEBRURHsdrus2mYHQHEvRbfWsrIyLFq0CMuW\\\n",
       "LUN9fT2USiXa29tx5MgReL1eWREFIJfWipmH8XhczmGks3c+FcLXXnsNr732Ws7XJqrMajQaAMD6\\\n",
       "9es/wVkSEX1yDIRENK66urqzWmJ24sSJMY898sgjsmI4Hr1ej9WrV2P16tWf5BQLQnd3N4CPA4bf\\\n",
       "74fNZkM6nZbjGwDAZDKhvLwcFRUVMlDkz7hLpVLQaDQoKirCjBkzcMUVV2Dq1KkwGAyyE+zAwMCY\\\n",
       "4KBUKqHT6dDQ0ICbb75Z/oFAoVBg165d8Pl88th0Oo3h4WF0d3fDbDbLZZvZxJ687u5uNDc3o76+\\\n",
       "HiaTCVarVYZfhUIh9xGK6qJofGMwGFBWViaXVWZTqVRobGzE3//936O/vx/Tpk1DXV2dXC4rjrHZ\\\n",
       "bLj22mvxwQcfyPcATv2S7nA4UF5eDq/XC5/PN+Hcx7ORf36iClhUVIQ5c+bIQB4OhxEIBHI+AMBg\\\n",
       "MKCyshIrVqzAjTfeiMrKSmi1WqTTaRgMBlRVVckwmX1OqVQKOp0OU6dOhd1uR0tLC4LBIJeNnoPz\\\n",
       "CYR33323/GMZcKpCOJ677roLyWQS06dPx/Llyz/xuRIRfRIMhERElzCxDDB72HogEJBBS4QkjUYD\\\n",
       "i8WCkpISWXnIJpZrikBVVFSE0tJSlJSUyJl2jY2N2L1795gunEqlEiaTCU1NTWhsbITT6QQAzJo1\\\n",
       "C1VVVWhvbx+3IYyYGzjeIHUxYqGnp0c2hrFYLHLsgljyGovF5LJHhUIBtVoNl8uFuro6GYazieub\\\n",
       "PXs2pk2bBoPBAL1en1OlFEs2i4qKMGnSJOzYsUM2gFGr1TCbzSgvL4dOp8OxY8dk9fBc5XeOFNVB\\\n",
       "nU6H0tJSuXRVq9UiGAzC7Xajv78/pxmN0WjE1KlTsXjxYlRVVcluqZlMBna7HQ0NDWMqsOK9XC4X\\\n",
       "rrrqKvj9fgwNDeXMaKQzO59AuGzZMjz44INnPP7tt98GABw9enTcPxqcPHlSNvYiIrrQGAiJiC5h\\\n",
       "+eMJREjKDojZe9+sVuuYipx4HVFFEgFSDJDX6XSwWq2oqqoaEyazl2hWV1fL4evAqf2gRUVFY4a+\\\n",
       "iz2PIsxOtJ9OhMJAIACTySTPKXsJavbePtHUpqSkBGVlZeNep3g/0W1TPC+fqNQ5HA5ZPRSNdnQ6\\\n",
       "Hcxm87jLXc/WeGEi+/tkNpthtVphNptlUx+xd1GEYRH6i4uL4XK55JJX8VpqtRqlpaWyiU3+PXC5\\\n",
       "XGhoaEA4HMaWLVvQ09PDQHgOLmRTmdWrV+Ppp5/OeezQoUMATv2hhWGQiD5LigzXjxDRZcjv9+PX\\\n",
       "v/71GX8Rq62txTe/+c3P5qSI6DPxwgsvoKur67TH/NM//RN8Pt9pR+WM57e//S0eeughvPPOOzCZ\\\n",
       "TGf1nFAohFtuuQXPPvvsWVUIx5M/7oSI6LNyfn/6JCIiIiIiossel4wSERER5fmsBtMLrAwS0cXC\\\n",
       "QEhERESU57MOhEREFwsDIREREVEeBkIiKhQMhERERER5GAiJqFAwEBIRERHlYSAkokLBLqNERERE\\\n",
       "REQFihVCIiIiojysEBJRoWAgJCIiIsrDQEhEhYKBkIiIiCgPAyERFQoGQiIiIqI8DIREVCgYCImI\\\n",
       "iIjGwaBHRIWAXUaJiIiIiIgKFCuERERERHm4ZJSICgUDIREREVEeBkIiKhQMhERERER5GAiJqFAw\\\n",
       "EBIRERHlYSAkokLBQEhERESUh4GQiAoFAyERERFRHgZCIioUHDtBRERERERUoFghJCIiIsrDCiER\\\n",
       "FQoGQiIiIqI8DIREVCgYCImIiIjyMBASUaFgICQiIiLKw0BIRIWCgZCIiIgoDwMhERUKdhklIiIi\\\n",
       "IiIqUKwQEhEREeVhhZCICgUDIREREVEeBkIiKhQMhERERER5GAiJqFAwEBIRERHlYSAkokLBQEhE\\\n",
       "RESUh4GQiAoFu4wSEREREREVKFYIiYiIiPKwQkhEhYKBkIiIiGgcDHpEVAgYCImIiIjysEJIRIWC\\\n",
       "gZCIiIgoDwMhERUKBkIiIiKiPAyERFQoGAiJiIiI8jAQElGh4NgJIiIiIiKiAsUKIREREVEeVgiJ\\\n",
       "qFAwEBIRERHlYSAkokLBQEhERESUh4GQiAoFAyERERFRHgZCIioUDIREREREeRgIiahQsMsoERER\\\n",
       "ERFRgWIgJCIiIsojKoRn+/FJX3vRokUX6EqIiE6PgZCIiIgoz4UMhACgVCoxd+5cTJs2DQCwc+dO\\\n",
       "vPrqq5/2ZRARnREDIREREVGeCxkIM5kMUqkU9u/fj6NHj+LRRx8FADz00EMX4lKIiE6LTWWI6HOt\\\n",
       "r68PL7zwwsU+DSL6FPX19V3w9zifpjIffPBBzuOzZ8/GkiVLzvj85uZmAEBFRcW5nSQR0aeAgZCI\\\n",
       "PtcSiQS6urou9mkQ0WXmfALha6+9htdeey3na5lM5rTP9Xq92Lx5MwDgo48+Oo8zJSL6ZBgIiYiI\\\n",
       "iD4Fd999N5YtWyY/nz179hmf43K5AAD33HPPhTotIqLTYiAkIiIiynM+FcJly5bhwQcfPKf3AICV\\\n",
       "K1filVdeOfeTJCL6FLCpDBGdle9///tQKBR4+umnz3js6tWrUVdXB71ej4ULF2LXrl05X49Go3j4\\\n",
       "4YfhcrlgNptx5513YnBw8AKdORHRubuQTWUikYh8zjXXXIP33nvvQlwCEdFZYSAkojN64403sGPH\\\n",
       "jrNqePDqq6/i0UcfxRNPPIG9e/di7ty5WLlyJYaGhuQxP/rRj/D2229jzZo12LRpE/r6+nDHHXdc\\\n",
       "yEsgIjonFzIQGo1GAIDT6cTMmTPxwAMP4IEHHsDatWsvxKUQEZ0Wl4wS0Wn19vbiBz/4Af7rv/4L\\\n",
       "N9988xmP//Wvf43vfve7+Na3vgUAeO655/Duu+/iD3/4A3784x/D5/Ph+eefx5/+9Cdcf/31AIA/\\\n",
       "/vGPaGxsxI4dOzicmYguGeczX/BceL1e/P73v5ef//u//ztSqdQFfU8ionysEBLRhNLpNO699178\\\n",
       "wz/8A2bOnHnG4+PxOPbs2YMVK1bIx5RKJVasWIHt27cDAPbs2YNEIpFzzPTp01FTUyOPISK62C70\\\n",
       "HMLxPhgGiehiYIWQiCb085//HGq1Gv/tv/23szre4/EglUqhtLQ05/HS0lIcPXoUADAwMACtVgu7\\\n",
       "3T7mmIGBgQlfOxaLIRaLyc/9fv9ZXgURERERTYQVQiICALz00kswm83yY9OmTfjf//t/44UXXrjg\\\n",
       "y6bOxpNPPgmbzSY/qqurL/YpEdHn2IWsEBIRXUoYCIkIALBq1Srs379ffnz44YcYGhpCTU0N1Go1\\\n",
       "1Go1urq68Hd/93eoq6sb9zWKioqgUqnGdAwdHBxEWVkZAKCsrAzxeByjo6MTHjOexx9/HD6fT370\\\n",
       "9PR8ouslIjodBkIiKhRcMkpEAACLxQKLxSI//973vocvf/nLOcesXLkS9957r2wYk0+r1WL+/PnY\\\n",
       "sGEDbrvtNgCn9iFu2LABjzzyCABg/vz50Gg02LBhA+68804AQGtrK7q7u7F48eIJz0+n00Gn032S\\\n",
       "SyQiOmvnM4eQiOhyxEBIRONyuVxwuVw5j2k0GpSVlWHatGnyseXLl+P222+Xge/RRx/FN77xDVx5\\\n",
       "5ZVYsGABnn76aYRCIRkibTYb7r//fjz66KNwOp2wWq34wQ9+gMWLF7PDKBFdMhgIiahQMBAS0SfS\\\n",
       "3t4Oj8cjP7/nnnvgdrvxs5/9DAMDA2hqasJ7772X02jmqaeeglKpxJ133olYLIaVK1fi2WefvRin\\\n",
       "T0Q0LgZCIioUDIREdNZOnDhxVo898sgjsmI4Hr1ej9WrV2P16tWf4tkREX16GAiJqFCwqQwRERER\\\n",
       "EVGBYoWQiIiIKA8rhERUKBgIiYiIiPIwEBJRoWAgJCIiIsrDQEhEhYKBkIiIiCgPAyERFQoGQiIi\\\n",
       "IqI8DIREVCjYZZSIiIiIiKhAsUJIRERElIcVQiIqFAyERERERHkYCImoUDAQEhEREeVhICSiQsFA\\\n",
       "SERERJSHgZCICgUDIREREVEeBkIiKhTsMkpERERERFSgWCEkostSJpO52KdARJe4T/J/JwKBwFlX\\\n",
       "/gKBwHm/DxHRxcZASESXpUAggH/+53++2KdBRJewQCAAm812Ts9paGgAAFRXV5/z+4nnEhFdThQZ\\\n",
       "/pmdiC5D6XQafX19sFgsBb1/x+/3o7q6Gj09PbBarRf7dC4a3odTeB9OyWQyCAQCqKiogFJ57rtj\\\n",
       "NmzYgGPHjp3TcxoaGrB8+fJzfi8ioouNgZCI6DLm9/ths9ng8/kKOgDwPpzC+0BEROeKTWWIiIiI\\\n",
       "iIgKFAMhERERERFRgWIgJCK6jOl0OjzxxBPQ6XQX+1QuKt6HU3gfiIjoXHEPIRERERERUYFihZCI\\\n",
       "iIiIiKhAMRASEREREREVKAZCIiIiIiKiAsVASER0CUkkEnjssccwe/ZsmEwmVFRU4L777kNfX98Z\\\n",
       "n7t69WrU1dVBr9dj4cKF2LVrV87Xo9EoHn74YbhcLpjNZtx5550YHBy8UJfyiZzpWvKtWbMG06dP\\\n",
       "h16vx+zZs7F27dqcr2cyGfzsZz9DeXk5DAYDVqxYgba2tgt5CZ/Yk08+iauuugoWiwUlJSW47bbb\\\n",
       "0NraesbnfR7vBRERXTgMhEREl5BwOIy9e/fipz/9Kfbu3Ys///nPaG1txapVq077vFdffRWPPvoo\\\n",
       "nnjiCezduxdz587FypUrMTQ0JI/50Y9+hLfffhtr1qzBpk2b0NfXhzvuuONCX9I5O5tryfbhhx/i\\\n",
       "K1/5Cu6//37s27cPt912G2677TYcOnRIHvOLX/wCzzzzDJ577jns3LkTJpMJK1euRDQa/awu65xt\\\n",
       "2rQJDz/8MHbs2IF169YhkUjgxhtvRCgUmvA5n9d7QUREF1CGiIguabt27coAyHR1dU14zIIFCzIP\\\n",
       "P/yw/DyVSmUqKioyTz75ZCaTyWRGR0czGo0ms2bNGnnMkSNHMgAy27dvv3Anfx7OdC357r777szN\\\n",
       "N9+c89jChQszDzzwQCaTyWTS6XSmrKws88tf/lJ+fXR0NKPT6TIvv/zyBbiCC2NoaCgDILNp06YJ\\\n",
       "jymUe0FERJ8eVgiJiC5xPp8PCoUCdrt93K/H43Hs2bMHK1askI8plUqsWLEC27dvBwDs2bMHiUQi\\\n",
       "55jp06ejpqZGHnMpOJtrybd9+/ac4wFg5cqV8vjOzk4MDAzkHGOz2bBw4cJL6trPxOfzAQCcTueE\\\n",
       "xxTKvSAiok8PAyER0SUsGo3isccew1e+8hVYrdZxj/F4PEilUigtLc15vLS0FAMDAwCAgYEBaLXa\\\n",
       "MaEy+5hLwdlcS76BgYEzXrt47Gxf81KTTqfxwx/+ENdccw1mzZo14XGFcC+IiOjTxUBIRHQRvfTS\\\n",
       "SzCbzfJjy5Yt8muJRAJ33303MpkMfvvb317Es6SL7eGHH8ahQ4fwyiuvXOxTISKizxn1xT4BIqJC\\\n",
       "tmrVKixcuFB+XllZCeDjMNjV1YW//vWvE1YHAaCoqAgqlWpMx9DBwUGUlZUBAMrKyhCPxzE6OppT\\\n",
       "Jcw+5lJwNteSr6ys7IzXLh4rLy/POaapqelTPPsL45FHHsE777yDzZs3o6qq6rTHft7vBRERffpY\\\n",
       "ISQiuogsFgumTJkiPwwGgwyDbW1tWL9+PVwu12lfQ6vVYv78+diwYYN8LJ1OY8OGDVi8eDEAYP78\\\n",
       "+dBoNDnHtLa2oru7Wx5zKTiba8m3ePHinOMBYN26dfL4+vp6lJWV5Rzj9/uxc+fOS+ra82UyGTzy\\\n",
       "yCN444038Ne//hX19fVnfM7n9V4QEdEFdLG72hAR0cfi8Xhm1apVmaqqqsz+/fsz/f398iMWi8nj\\\n",
       "rr/++sxvfvMb+fkrr7yS0el0mRdeeCFz+PDhzPe+972M3W7PDAwMyGO+//3vZ2pqajJ//etfM83N\\\n",
       "zZnFixdnFi9e/Jle39k407Xce++9mR//+Mfy+G3btmXUanXmV7/6VebIkSOZJ554IqPRaDIfffSR\\\n",
       "PObf/u3fMna7PfPmm29mDh48mLn11lsz9fX1mUgk8plf39l68MEHMzabLfPBBx/k/ByEw2F5TKHc\\\n",
       "CyIiunAYCImILiGdnZ0ZAON+bNy4UR5XW1ubeeKJJ3Ke+5vf/CZTU1OT0Wq1mQULFmR27NiR8/VI\\\n",
       "JJJ56KGHMg6HI2M0GjO33357pr+//zO4qnN3umu57rrrMt/4xjdyjn/ttdcyDQ0NGa1Wm5k5c2bm\\\n",
       "3Xffzfl6Op3O/PSnP82UlpZmdDpdZvny5ZnW1tbP4lLO20Q/B3/84x/lMYVyL4iI6MJRZDKZzMWp\\\n",
       "TRIREREREdHFxD2EREREREREBYqBkIiIiIiIqEAxEBIRERERERUoBkIiIiIiIqICxUBIRERERERU\\\n",
       "oBgIiYiIiIiIChQDIRERERERUYFiICQiIiIiIipQDIRERHRZeP7553HjjTde8Pd577330NTUhHQ6\\\n",
       "fcHfi4iI6GJjICQiokteNBrFT3/6UzzxxBMX/L2++MUvQqPR4KWXXrrg70VERHSxMRASEdEl7/XX\\\n",
       "X4fVasU111zzmbzfN7/5TTzzzDOfyXsRERFdTAyERET0mXG73SgrK8P/+l//Sz724YcfQqvVYsOG\\\n",
       "DRM+75VXXsGXv/zlnMeWLVuGH/7whzmP3XbbbfjmN78pP6+rq8O//uu/4r777oPZbEZtbS3eeust\\\n",
       "uN1u3HrrrTCbzZgzZw6am5tzXufLX/4ympub0d7efv4XS0REdBlgICQios9McXEx/vCHP+Cf/umf\\\n",
       "0NzcjEAggHvvvRePPPIIli9fPuHztm7diiuvvPK83vOpp57CNddcg3379uHmm2/Gvffei/vuuw9f\\\n",
       "//rXsXfvXkyePBn33XcfMpmMfE5NTQ1KS0uxZcuW83pPIiKiywUDIRERfaZuuukmfPe738XXvvY1\\\n",
       "fP/734fJZMKTTz454fGjo6Pw+XyoqKg47/d74IEHMHXqVPzsZz+D3+/HVVddhbvuugsNDQ147LHH\\\n",
       "cOTIEQwODuY8r6KiAl1dXef1nkRERJcLBkIiIvrM/epXv0IymcSaNWvw0ksvQafTTXhsJBIBAOj1\\\n",
       "+vN6rzlz5sh/l5aWAgBmz5495rGhoaGc5xkMBoTD4fN6TyIiossFAyEREX3m2tvb0dfXh3Q6jRMn\\\n",
       "Tpz2WJfLBYVCgZGRkTO+biqVGvOYRqOR/1YoFBM+lj9mwuv1ori4+IzvSUREdDljICQios9UPB7H\\\n",
       "17/+ddxzzz34l3/5F3znO98ZU53LptVqMWPGDBw+fHjM1/KXeXZ0dHwq5xiNRtHe3o558+Z9Kq9H\\\n",
       "RER0qWIgJCKiz9RPfvIT+Hw+PPPMM3jsscfQ0NCAb3/726d9zsqVK7F169Yxj7/55pv485//jPb2\\\n",
       "dvzP//k/cfjwYXR1daG3t/cTneOOHTug0+mwePHiT/Q6RERElzoGQiIi+sx88MEHePrpp/Hiiy/C\\\n",
       "arVCqVTixRdfxJYtW/Db3/52wufdf//9WLt2LXw+X87jN998M37xi19gxowZ2Lx5M5599lns2rUL\\\n",
       "L7744ic6z5dffhlf+9rXYDQaP9HrEBERXeoUmew+20RERJeou+66C1dccQUef/xxAKfmEDY1NeHp\\\n",
       "p5/+VN/H4/Fg2rRpaG5uRn19/af62kRERJcaVgiJiOiy8Mtf/hJms/mCv8+JEyfw7LPPMgwSEVFB\\\n",
       "YIWQiIguSxeqQkhERFRIGAiJiIiIiIgKFJeMEhERERERFSgGQiIiIiIiogLFQEhERERERFSgGAiJ\\\n",
       "iIiIiIgKFAMhERERERFRgWIgJCIiIiIiKlAMhERERERERAWKgZCIiIiIiKhAMRASEREREREVKAZC\\\n",
       "IiIiIiKiAsVASEREREREVKAYCImIiIiIiAoUAyEREREREVGBYiAkIiIiIiIqUP8ffZ1XeAyk8koA\\\n",
       "AAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[8] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAA13xJREFUeJzs3Xd0HNX5N/Dv9l60WvVuFcuWbMsN494LtnEBDDgYMD2EAI4T\\\n",
       "CBBKMAQn5EfLS4AEQg3VFANuuODecO+W1XtbSavtdeb9gzM3u9JKlhsuej7n6IBmZ2fvjmzYr+69\\\n",
       "zyPieZ4HIYQQQgghhJAeR3yxB0AIIYQQQggh5OKgQEgIIYQQQgghPRQFQkIIIYQQQgjpoSgQEkII\\\n",
       "IYQQQkgPRYGQEEIIIYQQQnooCoSEEEIIIYQQ0kNRICSEEEIIIYSQHooCISGEEEIIIYT0UBQICSGE\\\n",
       "EEIIIaSHokBICCGEEEIIIT0UBUJCCCGEEEII6aEoEBJCCCGEEEJID0WBkBBCCCGEEEJ6KAqEhBBC\\\n",
       "CCGEENJDUSAkhBByVjZt2gSRSIRNmzZd7KGQ8+ynn36CXC5HRUXFL/7azc3N0Gg0WLVq1S/+2oQQ\\\n",
       "0hNRICSEENKlN954A++///7FHsZZ+eSTT/Dqq69e7GEAADiOw4svvoiMjAwolUr0798fn376abef\\\n",
       "b7Vace+99yImJgYajQbjx4/H/v37O5z3+eefY8GCBcjOzoZIJMK4cePOeKx/+tOfMH/+fKSlpZ3x\\\n",
       "c89VdHQ07r77bjz11FO/+GsTQkhPJOJ5nr/YgyCEEHLpys/Ph9ls7jATyHEcfD4f5HI5xOJL8/eL\\\n",
       "M2fOxNGjR1FeXn6xh4LHH38cf/3rX3HPPfdg6NCh+Pbbb7Fy5Up8+umnuPnmm7t8LsdxGD16NA4d\\\n",
       "OoRHHnkEZrMZb7zxBqqqqrBv3z5kZ2ezc8eNG4d9+/Zh6NChOHjwIPr3739Gs7gHDx7EwIEDsWPH\\\n",
       "DgwfPvxs3+45OXHiBPr27YsNGzZgwoQJF2UMhBDSU1AgJISQbnA6ndBoNBd7GBdFZ4HwcnCpBMKa\\\n",
       "mhpkZGTg3nvvxeuvvw4A4HkeY8eORVlZGcrLyyGRSDp9/hdffIGbbroJy5Ytww033AAAaGpqQk5O\\\n",
       "Dq655hp88skn7NyqqiokJSVBLBaf1c/u4YcfxvLly1FeXg6RSHR2b/g86NevHwYOHIgPP/zwoo2B\\\n",
       "EEJ6gkvzV7qEEHIB1dTU4K677kJiYiIUCgUyMjJw//33w+fzAQDef/99iEQibN68Gb/5zW8QGxuL\\\n",
       "5ORk9vw33ngDeXl5UCgUSExMxAMPPACr1Rr2GkVFRbj++usRHx8PpVKJ5ORk3HzzzWhra2PnrFu3\\\n",
       "DqNGjYLRaIRWq0Xv3r3xxBNPnHb83Xme1+vFM888g6ysLCgUCqSkpODRRx+F1+vtcL3//ve/uOqq\\\n",
       "q6BWqxEVFYUxY8Zg7dq1AID09HQcO3YMmzdvhkgkCluC2NkewmXLlmHw4MFQqVQwm81YsGABampq\\\n",
       "ws5ZuHAhtFotampqMGfOHGi1WsTExOAPf/gDgsHgae/Bt99+ixkzZrCfYWZmJp577rmw544bNw4r\\\n",
       "V65ERUUFG3t6enqn11y4cCE7r/3Xn//859OO6XTj9fv9+M1vfsOOiUQi3H///aiursbOnTu7fP6X\\\n",
       "X36JuLg4XHfddexYTEwMbrzxRnz77bdhP9eUlJRzmrFdvnw5JkyY0CEMdnYf0tPTsXDhQva98Pdn\\\n",
       "27ZteOihhxATEwOj0Yj77rsPPp8PVqsVt912G6KiohAVFYVHH30UkX43PXnyZHz//fcRHyOEEHL+\\\n",
       "SC/2AAgh5JdUW1uLq666iu3Hys3NRU1NDb788ku4XC7I5XJ27m9+8xvExMTg6aefhtPpBAD8+c9/\\\n",
       "xrPPPotJkybh/vvvR2FhId58803s2bMH27dvh0wmg8/nw9SpU+H1evHggw8iPj4eNTU1WLFiBaxW\\\n",
       "KwwGA44dO4aZM2eif//+WLJkCRQKBYqLi7F9+/Yux9+d53Ech1mzZmHbtm2499570adPHxw5cgSv\\\n",
       "vPIKTp06heXLl7Nzn332Wfz5z3/GiBEjsGTJEsjlcuzevRs//vgjpkyZgldffRUPPvggtFot/vSn\\\n",
       "PwEA4uLiOh3f+++/jzvuuANDhw7F0qVL0dDQgNdeew3bt2/HgQMHYDQa2bnBYBBTp07FsGHD8H//\\\n",
       "939Yv349XnrpJWRmZuL+++/v8j68//770Gq1WLx4MbRaLX788Uc8/fTTsNls+Pvf/w7g531wbW1t\\\n",
       "qK6uxiuvvAIA0Gq1nV7zvvvuw6RJk8KOrVmzBh9//DFiY2PZMYvF0uXYBDqdDgqFAgBw4MABaDQa\\\n",
       "9OnTJ+ycq666ij0+atSoTq914MABDBo0qEPQu+qqq/Dvf/8bp06dQr9+/bo1rq7U1NSgsrISgwYN\\\n",
       "OudrCX/2n332WezatQv//ve/YTQasWPHDqSmpuKFF17AqlWr8Pe//x35+fm47bbbwp4/ePBgvPLK\\\n",
       "Kzh27Bjy8/PPeTyEEEI6wRNCSA9y22238WKxmN+zZ0+HxziO43me59977z0eAD9q1Cg+EAiwxxsb\\\n",
       "G3m5XM5PmTKFDwaD7Pjrr7/OA+Dfffddnud5/sCBAzwAftmyZZ2O45VXXuEB8E1NTWc0/u4876OP\\\n",
       "PuLFYjG/devWsONvvfUWD4Dfvn07z/M8X1RUxIvFYn7u3Llh74fn/3cveJ7n8/Ly+LFjx3Z4nY0b\\\n",
       "N/IA+I0bN/I8z/M+n4+PjY3l8/Pzebfbzc5bsWIFD4B/+umn2bHbb7+dB8AvWbIk7JoDBw7kBw8e\\\n",
       "3PVN4Hne5XJ1OHbffffxarWa93g87NiMGTP4tLS0014vkqKiIt5gMPCTJ08O+3MAoFtf7733Xtg4\\\n",
       "evXq1eE1nE4nD4B/7LHHuhyLRqPh77zzzg7HV65cyQPg16xZE/F5nf3sOrN+/XoeAP/99993eAwA\\\n",
       "/8wzz3Q4npaWxt9+++3se+Hvz9SpU8P+HA0fPpwXiUT8r3/9a3YsEAjwycnJEce4Y8cOHgD/+eef\\\n",
       "d3v8hBBCzhwtGSWE9Bgcx2H58uW49tprMWTIkA6Pt18id88994Tt61q/fj18Ph8WLVoUNlNzzz33\\\n",
       "QK/XY+XKlQAAg8EAAPjhhx/gcrkijkWYKfv222/BcVy330N3nrds2TL06dMHubm5sFgs7EsozrFx\\\n",
       "40YAPy8N5DgOTz/9dIeZp7PZO7Z37140NjbiN7/5DZRKJTs+Y8YM5ObmsvsT6te//nXY96NHj0Zp\\\n",
       "aelpX0ulUrF/t9vtsFgsGD16NFwuF06ePHnGY2/P6XRi7ty5iIqKwqeffhr252DdunXd+po6dSp7\\\n",
       "jtvtZrOFoYT75Ha7uxzPuT6/u5qbmwEAUVFR53ytu+66K+zP0bBhw8DzPO666y52TCKRYMiQIRF/\\\n",
       "5sIYujsjSwgh5OzQklFCSI/R1NQEm83W7eVnGRkZYd8LPdl69+4ddlwul6NXr17s8YyMDCxevBgv\\\n",
       "v/wyPv74Y4wePRqzZs3CggULWFi86aab8M477+Duu+/GY489hokTJ+K6667DDTfc0OX+r+48r6io\\\n",
       "CCdOnEBMTEzEazQ2NgIASkpKIBaL0bdv327dj9Pp7P4AQG5uLrZt2xZ2TKlUdhhjVFQUWltbT/ta\\\n",
       "x44dw5NPPokff/wRNpst7LHQfZpn65577kFJSQl27NiB6OjosMfaLyvtDpVKFXH/psfjYY9fyOef\\\n",
       "Kf487NtLTU0N+174s5+SktLheKSfuTCGi1nYhhBCegIKhIQQ0olz+ZD90ksvYeHChfj222+xdu1a\\\n",
       "PPTQQ1i6dCl27dqF5ORkqFQqbNmyBRs3bsTKlSuxZs0afP7555gwYQLWrl3bacXJ7jyP4zj069cP\\\n",
       "L7/8csRrtP9AfrF0VVWzK1arFWPHjoVer8eSJUuQmZkJpVKJ/fv3449//OMZzbhG8tprr+HTTz/F\\\n",
       "f//7XxQUFHR4vL6+vlvXMRgM7M9QQkICNm7cCJ7nwwJOXV0dACAxMbHLayUkJLBzQ3X3+d0lhN/u\\\n",
       "hHJBZ+Gxs59vpOORriGMwWw2d3sshBBCzhwtGSWE9BgxMTHQ6/U4evToWT1faNJdWFgYdtzn86Gs\\\n",
       "rKxDE+9+/frhySefxJYtW7B161bU1NTgrbfeYo+LxWJMnDgRL7/8Mo4fP46//OUv+PHHH9mSzs6c\\\n",
       "7nmZmZloaWnBxIkTMWnSpA5fwgxeZmYmOI7D8ePHu3y97s7QdHZ/hGPnq8n5pk2b0NzcjPfffx8P\\\n",
       "P/wwZs6ciUmTJkVc5nims0tbt27FH/7wByxatAi33HJLxHMSEhK69fX555+z5xQUFMDlcuHEiRNh\\\n",
       "19q9ezd7vCsFBQXYv39/h7C7e/duqNVq5OTknNH77Exubi4AoKysLOLjdru9wzFhxvl8E8bQvhAP\\\n",
       "IYSQ84sCISGkxxCLxZgzZw6+//577N27t8Pjp1smN2nSJMjlcvzjH/8IO/c///kP2traMGPGDACA\\\n",
       "zWZDIBAIe26/fv0gFovZsr+WlpYO1xdCQaSlgYLuPO/GG29ETU0N3n777Q7nut1uVjF1zpw5EIvF\\\n",
       "WLJkSYegEfr+NBpNh7YakQwZMgSxsbF46623wt7D6tWrceLECXZ/zpUwwxQ6Rp/PhzfeeKPDuRqN\\\n",
       "pttLSOvq6nDjjTdi1KhRrFJpJGezh3D27NmQyWRhY+R5Hm+99RaSkpIwYsSIsHGcPHkSfr+fHbvh\\\n",
       "hhvQ0NCAr7/+mh2zWCxYtmwZrr322oj7C89GUlISUlJSIv79ANChxcjq1avh8XguSGuIffv2wWAw\\\n",
       "IC8v77xfmxBCyP/QklFCSI/ywgsvYO3atRg7dixryVBXV4dly5Zh27ZtYW0R2ouJicHjjz+OZ599\\\n",
       "FtOmTcOsWbNQWFiIN954A0OHDsWCBQsAAD/++CN++9vfYt68ecjJyUEgEMBHH30EiUSC66+/HgCw\\\n",
       "ZMkSbNmyBTNmzEBaWhoaGxvxxhtvIDk5ucv2A9153q233oovvvgCv/71r7Fx40aMHDkSwWAQJ0+e\\\n",
       "xBdffIEffvgBQ4YMQVZWFv70pz/hueeew+jRo3HddddBoVBgz549SExMxNKlSwH8XP7/zTffxPPP\\\n",
       "P4+srCzExsayAjWhZDIZ/va3v+GOO+7A2LFjMX/+fNZ2Ij09Hb/73e/O9scWZsSIEYiKisLtt9+O\\\n",
       "hx56CCKRCB999FHEUDJ48GB8/vnnWLx4MYYOHQqtVotrr7024nUfeughNDU14dFHH8Vnn30W9lj/\\\n",
       "/v3Rv39/AGe3hzA5ORmLFi3C3//+d/j9fgwdOhTLly/H1q1b8fHHH4cto3z88cfxwQcfoKysjPVN\\\n",
       "vOGGG3D11VfjjjvuwPHjx2E2m/HGG28gGAzi2WefDXutLVu2YMuWLQB+3jfrdDrx/PPPAwDGjBmD\\\n",
       "MWPGdDnW2bNn45tvvumwvBUATpw4genTp2PWrFmora3Fa6+9BoPBgB07duDTTz/F/Pnzz/jedGbd\\\n",
       "unW49tpraQ8hIYRcaBejtCkhhFxMFRUV/G233cbHxMTwCoWC79WrF//AAw/wXq+X5/n/lc2P1JqC\\\n",
       "539uM5Gbm8vLZDI+Li6Ov//++/nW1lb2eGlpKX/nnXfymZmZvFKp5E0mEz9+/Hh+/fr17JwNGzbw\\\n",
       "s2fP5hMTE3m5XM4nJiby8+fP50+dOtXl2Lv7PJ/Px//tb3/j8/LyeIVCwUdFRfGDBw/mn332Wb6t\\\n",
       "rS3s3HfffZcfOHAgO2/s2LH8unXr2OP19fX8jBkzeJ1OxwNgLQLat50QfP755+x6JpOJv+WWW/jq\\\n",
       "6uqwc26//XZeo9F0eH/PPPMM353/NW3fvp2/+uqreZVKxScmJvKPPvoo/8MPP3QYj8Ph4H/1q1/x\\\n",
       "RqORB9BlC4qxY8d22kIiUruFMxUMBvkXXniBT0tL4+VyOZ+Xl8f/97//7XCe0JKjrKws7HhLSwt/\\\n",
       "11138dHR0bxarebHjh0b8c+ocA/P9n3s37+fB9ChbQkAfvHixfy8efN4lUrFJyQk8K+//jr/1ltv\\\n",
       "8Wq1mr/77rt5nu/8748wrvYtUyL9WThx4gQPIOzvDCGEkAtDxPMXYJ0HIYQQQi5bEydORGJiIj76\\\n",
       "6CN2TCQS4ZlnnsGf//znC/76ixYtwpYtW7Bv3z6aISSEkAuM9hASQgghJMwLL7yAzz//nLUS+SU1\\\n",
       "NzfjnXfewfPPP09hkBBCfgG0h5AQQgghYYYNGwafz3dRXjs6OhoOh+OivDYhhPRENENICCGEEEII\\\n",
       "IT0UzRASQggh5LSo5AAhhFyZaIaQEEIIIYQQQnooCoSEEEIIIYQQ0kPRklFCyGWJ4zjU1tZCp9NR\\\n",
       "JUJCSBie52G325GYmAix+Mx/97169WqcOHHijJ7Tp08fXHPNNWf8WoQQcrFRICSEXJZqa2vxzjvv\\\n",
       "XOxhEEIuUc8++yyqqqqQnJx8Rs9bvXo1pk+fflavuWrVKgqFhJDLDgVCQshlSafTAQDNDhJCOiX8\\\n",
       "d+JMnOnMYPvndjcQ6vV62O129r1UKoXf7wcA7N+/H4MHD+7wnBtuuAHLli076/ERQkgktIeQEHJZ\\\n",
       "oiBICDmdc/3vhEgk6tbX2RD6PEqlHX83v3btWgCARCJB//79ER0dDQD48ssvz/KdEEJI5ygQEkII\\\n",
       "IYS0090weLah0OPxgOd5NisY6rHHHgPP8wgEAjh06BAsFgvi4uIAANOmTTvn90YIIaFoySghhBBC\\\n",
       "SDtnGvR4nsfGjRvDjhUUFGDChAnnZTw2mw0AMGXKlPNyPUIIEVAgJIQQQghp52xm/lasWIEVK1aE\\\n",
       "HeN5/pzHsnr1arjdbgDA4sWLz/l6hBASigIhIYQQQkg7ZxMIZ86cifHjx7PvCwoKznkc+/fvZ1VP\\\n",
       "X3rppXO+HiGEtEeBkBBCCCGknbMJhOPHjz+vM3ih1UZ///vf0+wgIeSCoKIyhBBCCCGXmNAw+Otf\\\n",
       "/xr/93//d5FHRAi5UlEgJIQQQghp50JXGX377beRlpaGtLQ0AEAgEEBaWhqmTZsWFgbT0tLgcDhw\\\n",
       "66234tZbb8WOHTvO6/skhBBaMkoIIYQQ0s659BjsjsWLF8PhcIQdq6ysRGVlJTweDztWUVGBiooK\\\n",
       "9v3y5cvDGtoTQsi5okBICCGEENLOhQ6EFOoIIZcKCoSEEEIIIe1c6EBICCGXCgqEhBBCCCHtUCAk\\\n",
       "hPQUVFSGEEIIIYQQQnoomiEkhBBCCGmHZggJIT0FzRASQrrtr3/9K0QiERYtWtTlecuWLUNubi6U\\\n",
       "SiX69euHVatWhT3O8zyefvppJCQkQKVSYdKkSSgqKrqAIyeEkDNzodtOEELIpYICISGkW/bs2YN/\\\n",
       "/etf6N+/f5fn7dixA/Pnz8ddd92FAwcOYM6cOZgzZw6OHj3KznnxxRfxj3/8A2+99RZ2794NjUaD\\\n",
       "qVOnhpVaJ4SQi4kCISGkp6BASAg5LYfDgVtuuQVvv/02oqKiujz3tddew7Rp0/DII4+gT58+eO65\\\n",
       "5zBo0CC8/vrrAH6eHXz11Vfx5JNPYvbs2ejfvz8+/PBD1NbWYvny5b/AuyGEkNOjQEgI6SkoEBJC\\\n",
       "TuuBBx7AjBkzMGnSpNOeu3Pnzg7nTZ06FTt37gQAlJWVob6+Puwcg8GAYcOGsXMi8Xq9sNlsYV+E\\\n",
       "EHKhUCAkhPQUFAgJIV367LPPsH//fixdurRb59fX1yMuLi7sWFxcHOrr69njwrHOzolk6dKlMBgM\\\n",
       "7CslJeVM3gYhhBBCCImAAiEhpFNVVVV4+OGH8fHHH0OpVF7UsTz++ONoa2tjX1VVVRd1PISQKxvN\\\n",
       "EBJCegpqO0EI6dS+ffvQ2NiIQYMGsWPBYBBbtmzB66+/Dq/XC4lEEvac+Ph4NDQ0hB1raGhAfHw8\\\n",
       "e1w4lpCQEHZOQUFBp2NRKBRQKBTn+pYIIaRbKOgRQnoKmiEkhHRq4sSJOHLkCA4ePMi+hgwZgltu\\\n",
       "uQUHDx7sEAYBYPjw4diwYUPYsXXr1mH48OEAgIyMDMTHx4edY7PZsHv3bnYOIYRcCmh2kBDSE9AM\\\n",
       "ISGkUzqdDvn5+WHHNBoNoqOj2fHbbrsNSUlJbI/hww8/jLFjx+Kll17CjBkz8Nlnn2Hv3r3497//\\\n",
       "DQCsj+Hzzz+P7OxsZGRk4KmnnkJiYiLmzJnzi74/QgjpzJmEPQqFhJDLGQVCQsg5qayshFj8v8UG\\\n",
       "I0aMwCeffIInn3wSTzzxBLKzs7F8+fKwYPnoo4/C6XTi3nvvhdVqxahRo7BmzZqLvk+REEIEFAgJ\\\n",
       "IT0FBUJCyBnZtGlTl98DwLx58zBv3rxOryESibBkyRIsWbLkPI+OEELODwqEhJCegvYQEkIIIYQQ\\\n",
       "QkgPRTOEhBBCCCHt0AwhIaSnoEBICLmiSSQSxMXFXexhEELOo4aGBgSDwQv6GhQICSE9BQVCQsgV\\\n",
       "LS4uDvfcc8/FHgYh5Dx6++23UVtbe0FfgwIhIaSnoEBICCGEENIOBUJCSE9BgZAQQgghpB0KhISQ\\\n",
       "noKqjBJCCCGEEEJID0UzhIQQQggh7dAMISGkp6BASAghhBDSDgVCQkhPQYGQEEIIIaQdCoSEkJ6C\\\n",
       "AiEhhBBCSDsUCAkhPQUFQkIIIYSQdigQEkJ6CqoySgghhBBCCCE9FM0QEkIIIYS0QzOEhJCeggIh\\\n",
       "IYQQQkg7FAgJIT0FBUJCCCGEkHYoEBJCegoKhIQQQggh7VAgJIT0FBQICSGEEEIioKBHCOkJqMoo\\\n",
       "IYQQQgghhPRQNENICCGEENIOLRklhPQUFAgJIYQQQtqhQEgI6SkoEBJCCCGEtEOBkBDSU1AgJIQQ\\\n",
       "QghphwIhIaSnoEBICCGEENIOBUJCSE9BgZAQQgghpB0KhISQnoLaThBCCCGEEEJID0UzhIQQQggh\\\n",
       "7dAMISGkp6BASAghhBDSDgVCQkhPQUtGCSGEEELaEQJhd7/OlF6vD3u+TCYLe9zlcnV4jcGDB5+v\\\n",
       "t0cIIQwFQkIIIYSQdi50IPT5fAAAqTTyYi2NRsMeT09PBwDs378fq1evPrs3RAghnaBASAghhBDS\\\n",
       "zoUOhB6PBzzPw+/3d3jM5XKxf/f7/SgrK8PSpUsBADNnzjz7N0UIIRFQICSEEEIIuYRMnjwZAJCa\\\n",
       "msqOPfbYYwAAjuMuypgIIVcuKipDCCGEENLO2RSV2bhxY9jxgoICTJgw4Yxf+8SJEwCAESNGnPFz\\\n",
       "CSHkTFEgJIQQQghp52wC4YoVK7BixYqwx3ieP+9jI4SQ84kCISGEEEJIO2cTCGfOnInx48ez4wUF\\\n",
       "BWf12n369MGOHTuwY8eOs3o+IYScCQqEhBBCCCHtnE0gHD9+PBYvXnzOr71u3TpoNBpUVlayYy+/\\\n",
       "/DIAQCym8g+EkPOLAiEhhBBCSDsXujH922+/jeeff559HwgEkJaWhj59+mDNmjXsuFwuR0pKCkpL\\\n",
       "SwGgw5JUQgg5VxQICSGEEEJ+YYsXL4bD4Qg7VllZyWYFnU4nNBoN/H4/C4MFBQW45pprfvGxEkKu\\\n",
       "bBQICSGEEELaudAzhHa7vcvH1Wo1FaQhhPwiKBASQgghhERwNkGPEEIuNxQICSGEEELaudAzhIQQ\\\n",
       "cqmgQEgIIYQQ0g4FQkJIT0GBkBBCCCGkHQqEhJCeggIhIYQQQkg7FAgJIT0FdTclhBBCCCGEkB6K\\\n",
       "ZggJIYQQQtqhGUJCSE9BgZAQQgghpB0KhISQnoICISGEEEJIOxQICSE9BQVCQgghhJB2KBASQnoK\\\n",
       "CoSEEEIIIe1QICSE9BRUZZQQQgghhBBCeiiaISSEkEtYamoqAoEAvF4v+/6FF17A5MmTIZV2/p9w\\\n",
       "nufh9/vhcDggEomg0+m6PP9i43keHMeFfR8MBuH1emGz2dDU1ITjx49j165dOHHiBBoaGtDY2Air\\\n",
       "1Qq/3w+e5ztcU6lU4p///Cduv/12SCSSDo8HAgHU1dVh69atKC4uhkgkgkajQXV1NVasWIGysjIE\\\n",
       "AoGw54hEImi1WvTq1QsAUFZWBrvdHvH1uyKRSGA0GnH11VdjypQpMJlMOHnyJL755hsUFRXB7/ef\\\n",
       "0fUiEcaamJgInufR3NwMl8sFl8t1ztfuCWiGkBDSU1y6nw4IIYRAqVTC7/ezsKRWq6FWq0/7PJFI\\\n",
       "BIlEAo1GA5FIBLH40l8QIhaLwfM8RCIReJ5n/x4IBNDc3Izi4mKcOnUKNTU1cDqd4HkeUqkUgUAg\\\n",
       "YiATi8VQKpWdvp4QmltbW9HQ0MCCc2trK7xeb6chLxAIoK2tDQDOOrjxPA+3243i4mJERUUhKSkJ\\\n",
       "1dXVcDqdZ3W9zvh8PtTX17NwHQwGz+v1r2QUCAkhPQUFQkIIuYSlp6fD4/HA4XBALBZj4MCBSE5O\\\n",
       "7lbAk0gk7LxL/QOrML7QcYrFYojFYvh8PpSXl2Pv3r0oLCyE3W6HSCSCSqWCSqWCzWaDw+FAMBhk\\\n",
       "IU4kEkEul8NkMnX63jmOQ3NzM06cOIETJ04AAPR6PaxWKwuckfA8j0AgcE73lOM4eL1eVFVVwW63\\\n",
       "w2g0wufzobW1NWym9FwFg0E4nU5wHHder9sTUCAkhPQUFAgJIeQSdtttt8Hn88HtdkOtVmPAgAGI\\\n",
       "j4+/4j+oCrOawjLX+vp6VFVVoa2tDYFAACqVCpmZmRg/fjx0Oh127tyJ4uJiFBUVwev1QiKRICUl\\\n",
       "BQkJCRGvz/M8nE4ndu7ciR07dqCurg7AzzOyPp+v00AoEomgVCqRnp4OjUaDY8eOob6+vsPS0u4I\\\n",
       "BoNwu93wer2wWCzs2PkIbqGzwhQGzw4FQkJIT0GBkBDSqaVLl+Lrr7/GyZMnoVKpMGLECPztb39D\\\n",
       "7969u3zesmXL8NRTT6G8vBzZ2dn429/+hunTp7PHeZ7HM888g7fffhtWqxUjR47Em2++iezs7Av9\\\n",
       "li47s2fPZsFEIpFAJpNBKpX2iA+gIpEIUqkUer0eJpMJcrmcvf/09HTcd999mDJlCrRaLe677z54\\\n",
       "PB7s2bMHX375JSwWC4YPH47o6OiIwc7r9WLHjh14//33cerUKfh8PgD/W7ba2TJUqVSKvLw8PPTQ\\\n",
       "Q0hOTsa+ffvwxhtvoLi4+KyWjwp7Jc/nUk6JRAKtVgudTge73Q6Hw3Hert2TUCAkhPQUFAgJIZ3a\\\n",
       "vHkzHnjgAQwdOhSBQABPPPEEpkyZguPHj0Oj0UR8zo4dOzB//nwsXboUM2fOxCeffII5c+Zg//79\\\n",
       "yM/PBwC8+OKL+Mc//oEPPvgAGRkZeOqppzB16lQcP368yz1fPZFWq2X/fjl/6AxdynkmxGIxjEYj\\\n",
       "Ro4cierqauzduxdqtRrXXXcdrrnmGuj1eojFYigUCmg0GkyZMgWjR49mxWbUajWCwWDYEluPx4NN\\\n",
       "mzbh8ccfx6lTp8KK0gjj62xPotlsxsMPP4xp06ZBqVSif//+6Nu3L/7whz/g6NGj56UYzOkIeywj\\\n",
       "kcvlGDx4MO655x5otVp88cUXWLVqFRWSIYQQ0ikKhISQTq1Zsybs+/fffx+xsbHYt28fxowZE/E5\\\n",
       "r732GqZNm4ZHHnkEAPDcc89h3bp1eP311/HWW2+B53m8+uqrePLJJzF79mwAwIcffoi4uDgsX74c\\\n",
       "N99884V9U5eZrgKUUHhFKL5yJjMaka7Vndc8m+v6fD74fD7I5XLI5fIzur5IJIJCoUBOTg7uvfde\\\n",
       "zJw5E2q1GqmpqdDpdB32UorFYmg0GqhUKvh8Png8HtjtdkgkEvA8j9bWVnzxxRd4/fXXWbGV9uPt\\\n",
       "jFQqxciRIzFu3DhoNBq2pHXEiBH405/+hMWLF6O6uvqCLs/s6t4plUosWLAAzz33HEwmEziOQ2Zm\\\n",
       "JoqLi3HkyBEqKHOGaIaQENJTUCAkhHSbUFnRZDJ1es7OnTuxePHisGNTp07F8uXLAfxcpr++vh6T\\\n",
       "Jk1ijxsMBgwbNgw7d+7sNBB6vV7WegEAbDbb2b6NK0YwGITP54Pf74dEIoFcLodUKj3jiqJCgROv\\\n",
       "1wuFQgGFQnFeqpJyHIfW1lZs27YNlZWVuPrqq9G/f38oFIozuo6wby90T2BowZxIxGIxZDIZ7HY7\\\n",
       "jhw5gkOHDuHkyZPYv38/CgsLWaGVMxmDRqPBrFmzYDAYwor1KBQKjBkzBhMnTsSnn34Kj8dzRu+v\\\n",
       "u4QiO0KLjtBZTbVajd/+9rf405/+BK1Wy2YRc3JycOONN6KqqgpWq5X2Ep4BCoSEkJ6CAiEhpFs4\\\n",
       "jsOiRYswcuRItvQzkvr6esTFxYUdi4uLQ319PXtcONbZOZEsXboUzz77bNixZ5555ozew5VE2Htm\\\n",
       "t9thtVohEolgMBhgMBggl8u7FeiEazQ3N2Pr1q0oKSlB//79MXLkSOh0unP6kMvzPGw2G/71r3/h\\\n",
       "gw8+gMfjwcSJE/HCCy8gLi6u02sLYad9qwyhjYZwLPS8zj64i0QiuN1urFq1Ct999x0aGxvh8XjC\\\n",
       "2nh0l0gkQkxMDAYOHNihn6Nw76+99lqsWrWqy5YVZ0OomKrT6aDRaNisp8/ng1gsRnR0NB5//HHc\\\n",
       "eeedYUu5hSA9bdo07Nq1C7t27aL9hGeAAiEhpKegQEgI6ZYHHngAR48exbZt2y7K6z/++ONhM482\\\n",
       "mw3vvPPORRnLpUJYjtnS0gKn0wmTycQanncWCIUgxXEcfD4fqqur8eGHH2L58uWwWq3IyMjAn//8\\\n",
       "Z4wZMwZyubzL1wY6/yDs9/vx448/4u2330ZtbS0AYNeuXWhsbERsbGzE5/l8Ppw4cQInT55E7969\\\n",
       "kZub22FPqTDzJYzf5/Oddlazrq4Ozc3NcLvdYSGyq9AWGgaEYDVy5EgkJSVFfB2pVIqCggJkZmai\\\n",
       "ubk5rOro6V6rKzKZDHFxcRgzZgxGjx4Nk8mE+vp6HD16FBaLBRkZGZg/fz769esXceZVLBYjNTUV\\\n",
       "CxYsQHR0NCoqKs5qHD0VBT1CSE9AgZAQclq//e1vsWLFCmzZsgXJycldnhsfH4+GhoawYw0NDYiP\\\n",
       "j2ePC8dCWwI0NDSgoKCg0+sKH/rJ/wiN14VZI6/XC4/Hg2AwCIlE0uHDrNCI3eFwwGKxoKqqCitX\\\n",
       "rsT333+P2tpatgR17dq1GDx4MGQyWcQPxBzHsSqcUqkUEomkw+u0tLTgiy++QENDA+vZ53Q6w5b9\\\n",
       "hgoEAli1ahUeeeQRtLS0IDs7G2+++SYGDBgQMYD5fD4UFhaiqKgIvXr1Ql5eHuRyedhYhGWemZmZ\\\n",
       "0Ol0bBxCePR4PGzGUAhsUqkUWq0WCQkJ0Ol0bJllv379cP/994cV+Wn/s4iNjcXUqVNx8uRJtqRZ\\\n",
       "LBZDIpEgGAwiEAiEzUwK91YsFrN/F5aCCn0WR40ahUceeQQDBgyAWq2GSCRCMBhkY1YqlVAqlZ2G\\\n",
       "YeEeDBkyBEajkbW3IKdHM4SEkJ6CAiEhpFM8z+PBBx/EN998g02bNiEjI+O0zxk+fDg2bNiARYsW\\\n",
       "sWPr1q3D8OHDAQAZGRmIj4/Hhg0bWAC02WzYvXs37r///gvxNq5IwhJKobCKwWAAx3FdVmnlOA5u\\\n",
       "txt1dXU4fPgwTp06hcOHD8Nut4cVpnE6nfB4POxYpGs0NzcDAKKjo6FSqcKWcvr9flRWVqK0tJQF\\\n",
       "IJFIBJ1OB4PBEPHDc1tbG1544QWUl5eD4zgcP34cW7ZsYUEvVDAYRE1NDT744AMcOHAAAwYMwO9/\\\n",
       "/3vExsZCpVKFnavRaDB16lTU1NSgtrYWaWlpGDNmDNLS0sDzPGpqanDs2DHU1NRAoVAgLy8PQ4cO\\\n",
       "RVJSEtuD6PV6ERUVhejo6A7LRUMplUpcf/31OH78OPbs2QOe52E0GqFUKtHU1ISGhgZ4PB5wHMcK\\\n",
       "0mg0GhiNRhiNRgSDQbS2tsLtdkOj0WD69OlYtGgRUlNTO33d0wURkUgEmUwGk8mErKwsJCYmdnk+\\\n",
       "IYSQnocCISGkUw888AA++eQTfPvtt9DpdGyPn8FgYB+8b7vtNiQlJWHp0qUAgIcffhhjx47FSy+9\\\n",
       "hBkzZuCzzz7D3r178e9//xvAzx9QFy1ahOeffx7Z2dms7URiYiLmzJlzUd7n5UosFrNCMlqtli2H\\\n",
       "bD9jB4Qv8ZTJZNBqtYiLi0Pv3r1ZSOR5HmlpabjqqqugUCg6LHMUwl51dTV27NgBt9uNwYMHo3fv\\\n",
       "3qzqphAY29raoFKpIJPJwHEcFAoFcnNzYTQaI46tsbGRVegUloTabLYOe/14nofb7cbXX3+N5cuX\\\n",
       "o62tDRaLBVOnTsXQoUOhVCrDlnrKZDLk5ORg4cKFrOpmTExMWC/H66+/nr1XoXCL8PyYmBj22qcL\\\n",
       "XxKJBJmZmXjiiSewf/9+eL1eaDQa+P1+HDlyBDt37kR1dTUCgQCbuRw5ciQGDx6MhIQEcByHyspK\\\n",
       "lJeXQ6fTYezYsUhJSTnnvpPCHkSVSkWVRs8AzRASQnoKCoSEkE69+eabAIBx48aFHX/vvfewcOFC\\\n",
       "AEBlZWXYcrURI0bgk08+wZNPPoknnngC2dnZWL58eVghmkcffRROpxP33nsvrFYrRo0ahTVr1lAP\\\n",
       "wjMkfGAVliUC4W0T2s/wCcsl4+LioNVqkZ+fjxEjRqC2thbV1dXw+/1IS0tDXl4eVCoV2/sWum/P\\\n",
       "4XBg165d+Oyzz2CxWLBu3TrMmDEDI0eOhNlshlQqhdfrhU6nw+DBg1FfX4/m5mZotVrk5OREDKvA\\\n",
       "z0s11Wo1q6Kp0WiQmJgYcdlrSUkJPvzwQ9TV1SEYDKKqqgrr1q2DyWSCyWRis2nCvVAoFMjKyoJK\\\n",
       "pYJWq+0w29ZVAZ4z/aCvUCjQu3dvpKamwu/3w+/3w2azITo6GnK5HIWFhQgEAsjOzsaUKVNQUFAA\\\n",
       "o9HIxtS3b1+0tbXB6/WyaqbnGjaEPyfBYJBVCianR4GQENJTUCAkhHSqO4UwNm3a1OHYvHnzMG/e\\\n",
       "vE6fIxKJsGTJEixZsuRchkdChM6KRfq5CY/LZDK2VFHoYZiTkwO/38/2HgrnCITzgsEgWlpasGPH\\\n",
       "Dhw+fBg2mw1FRUU4ePAgBg8ejAkTJmDgwIGIiYlBVFQURo8ejbq6Ohw4cAAAUFNTg6qqKuh0urD9\\\n",
       "iSKRCLGxsZgxYwaWLVuGQCCAAQMGYODAgR0CZCAQwIoVK1BWVsb20blcLmzYsAFqtRq9e/dmy1KF\\\n",
       "dhoejwdyuRxqtbrTQHq+CLNxUqmU7bVUKBTw+XxwuVxQq9XgOA4DBgzAgAED2DJU4V5IJBJIJBI4\\\n",
       "HA74/X5WSfRc24AIVV+PHz+OIUOGnI+3elEtXLgQaWlpF/Q1KBASQnoKCoSEEHKF6SoURvrgyvM8\\\n",
       "26cXqXqoEAj9fj/q6+tx7NgxNosFAG63GxaLBceOHcOMGTMwa9YsxMXFITo6GlFRUfD7/bBarVi3\\\n",
       "bh1aWlrw4IMPYuTIkaxICgBotVr84Q9/wKBBg9DS0oIhQ4ZEnFH0+/346aef4PP52Fg5jkNFRQW+\\\n",
       "/fZb9OnTByNGjIBSqWTFc6RSKTIyMiIW2rlQhJk9oTiM2WxGRkYGqwybmJjIZivbz+JKJBIEAgFU\\\n",
       "VVVBKpUiOTkZBoOh06Wjws+nqwDDcRxqamoi/gKHREaBkBDSU1AgJISQK9CZfEANbcMQaYkmz/MI\\\n",
       "BAKw2+04fPgwampq2Oyc8OVyuVBeXo6VK1fCbDZj2LBhqK2txcmTJ1kxFZ7n8cMPP+DgwYP405/+\\\n",
       "hNtuu40tTZVIJEhKSsLNN9+MYDAIqVQascqpsK9PqNwp8Hq9qK6uxksvvYSvv/4aEokEbrcbSqUS\\\n",
       "o0aNQnJy8i/6ob39nk2dToekpCSIRCLYbDZotdouZyvb2tqwatUqlJeXo0+fPpgxYwYyMzMhl8s7\\\n",
       "hPVgMIhgMMgK1XRWGbaiogIHDx487+/1SkWBkBDSU1AgJIQQAuB/H2qFMBM6M2i323Ho0CH88MMP\\\n",
       "sFqtHfYqCjNftbW1+PHHH+F2u1FWVoajR4+y/n/Az8Gkrq4Or7/+OiZMmICsrKyw9gunay2iUChw\\\n",
       "33334ejRozh+/Dh8Ph8AsIBYWlqKkpISVmDHYDAgLi7utLODp+ur2F2hITl0j6fQGkIikaC1tbXL\\\n",
       "/bI8z6O0tBSrV69GRUUFtm3bhoqKCjz00EPIyMhgoU/Y1+n1euFwOCCVSjssxxWIxWIW6kn3UCAk\\\n",
       "hPQUFAgJIYSECV1y6vf70drain379uHjjz/Gvn374Ha7Iy5JFUJhWVkZgsEgamtrI1YK5TgOLpcL\\\n",
       "wWDwjD9ISyQSDBo0CMuXL8e+ffuwd+9eHD16FIWFhWhra0NLSwu8Xi9r7eB2u6FWq9lMZKQxC3v1\\\n",
       "5HJ5hzAlzI4Ky2MVCkWXVT+F84WxCoEw9EsqlbI9m5FmZYPBII4ePYqysjJYrVa0tbVh/fr1yM/P\\\n",
       "x7x581ixGeF+NzY24tSpU5BKpcjPz4fZbO7Qj1EmkyE7OxuxsbEoKio6o3tOCCHkykaBkBBCSAdC\\\n",
       "URaPx4Njx47hs88+w/bt29Ha2sqWakaahRKJRPB6vbBYLLDb7R3CIADI5XJMmDDhrJdxSqVSJCQk\\\n",
       "YPr06Zg6dSocDgf27NmD3bt347333kNtbS0LWlqtFgUFBZ3OyAUCATQ0NKCtrQ1xcXGIiopiQY7n\\\n",
       "edjtdhw8eBCbNm2CVCrF5MmT0a9fv4jXE8Kg0+kEAKhUKrY3UwiGcrkcGo0GdrudhdDQZaDCNerr\\\n",
       "6+F2uxEMBsFxHJqamrBt2zZcffXVUCqVkMlkCAQCqKurww8//IAtW7ZALpfjuuuuw6RJk6DRaMLu\\\n",
       "rVQqRf/+/bFgwQJs3779jO95T0QzhISQnoICISGEkE55vV4UFxejsLAQNpuNhcHQRvTA/4qhqFQq\\\n",
       "REVFsX1+LpcLDoeDzQZqtVrMnTsXzz33HLRa7TmNTZhxMxqNGDduHIYMGQKtVot//etfaGhogEKh\\\n",
       "wLBhwzBs2DDIZLKI1wgGg3A4HKw1ROhyWY7jUFhYiJdffhk//fQTeJ7Hjh078MILL6Bv374d2lcI\\\n",
       "VVhPnToFkUiErKwsmM1m9tqhLUICgQCam5vhdrthMpmgUCjYrF8wGAxrj8HzPLxeL44fP46dO3dC\\\n",
       "rVZDq9XCYrFgxYoV+Oqrr1BbW8vCZ58+fZCZmRk2PrFYjKioKNx00024//77z+m+9xQUCAkhPQUF\\\n",
       "QkIIIREJIU9oaq5UKsFxXIdZP+E8rVaLjIwMDBs2DFlZWfD7/Th16hSKi4vh9XqRk5ODefPmYdiw\\\n",
       "YR1msM51nHK5HFFRUbjzzjuRk5ODdevWQSwWY/r06RH7GQqkUiliY2NhMBig1+s7tHdobW1FeXk5\\\n",
       "rFYrOI7DTz/9hA8//BB/+MMfEBMTw84PBoNoaGjAl19+ibVr10KhUOC6667DrFmzOiwx5TgO1dXV\\\n",
       "2Lx5M4LBIPr164eBAwciOjoaEokEYrEYQ4YMQUpKCoqLi9ny0urqanzxxRdobGxEdHQ0jh07ho0b\\\n",
       "N6KmpgaBQAAymQzHjh3DsWPHkJyc3GHfpEQigdFoPC/3vCegQEgI6SkoEBJCSA/EcRx4nu+y8bnQ\\\n",
       "MqF///645pprEBsbyyqGBgKBsN6FZrMZAwYMwIQJE5Cfnw+j0QiJRAKO41jVUGEJ5bn21OuMSCSC\\\n",
       "Xq/HpEmTMGTIEHi9Xuj1eigUik7foxCShD2HofdDJBIhLi4OMTExKCkpQSAQgMPhwPfff4/k5GTc\\\n",
       "cMMNMJlM4DgOVVVVeOONN7B8+XK0tLRAKpWivr4eubm5HfopOp1OfPPNN/jmm2/gcDgQHR2N6dOn\\\n",
       "44477kBKSgpkMhkGDx6Me+65B2+//TbKysrg8/lgt9tx4MABlJeXQ6PRwGazobW1le1vFPYm1tfX\\\n",
       "w+l0QqlUdqhkSsGl+ygQEkJ6CgqEhBDSw/A8D4vFAqfTibi4uE4LrohEIigUCmRnZ8NsNmPGjBlw\\\n",
       "Op2w2WxoaGhAdXU1WlpaoNfrWaP12NhYFsDa99f7JQhjjomJYctUuwqgwuxm6DmhBXPi4+Mxbdo0\\\n",
       "VFVVsZm4uro6vPHGGzh8+DCGDRsGv9+PH374Adu3b2dFdEQiEY4dO4bvv/8effv2hVqtBvBzEC8u\\\n",
       "LsY333yD8vJyBINBNDc3w+l0Ijc3FwkJCVCr1TCbzbj55pthMBjwyiuvoLCwEF6vF4FAAG63mxW/\\\n",
       "CQQCbBmqVqtFcnIyNBoNO7erwE+6RoGQENJTUCAkhJAehuM4rF69GqdOncL111+PAQMGdNoTTwga\\\n",
       "arUaSUlJAH5eHulyudDU1ASbzQa9Xo/4+HhotdpLJoAI4wjdE9jVuELbOIQ+R6VSYerUqXC73fjy\\\n",
       "yy9RUVEBj8eDqqoqfPXVV1i9ejVEIhHsdjsrAiM81+12Y8eOHWhpaYFSqWQBbu/evairq4Pf7wfw\\\n",
       "cyXXlpYW1NXVsXAnEokQFRWFa6+9Fna7HS+88ALq6+vZ+ITgq9VqoVAoEB0djd69e2PEiBHIysqC\\\n",
       "VCplBWna/2wjVYi93Lz99tuora292MMghJArAgVCQgjpYYLBILZs2YLS0lL07t0b+fn5nQbC0LYJ\\\n",
       "QqCSSqWQSqVQKBTw+XxQKBSsz153tA8knbWDONdgGRryhPfR1TU5jmMFZnieh0KhgEKhQGJiIm6+\\\n",
       "+WZERUXh7bffRlFREbxeL3w+H5xOZ9jrtH9Pzc3NqK6uRkxMDKRSKbxeL+rr68OCo0gkglQqRWJi\\\n",
       "YljFUbFYDJ1Ohzlz5mDr1q34/vvv4fF4WF/DlJQU5OXloX///sjLy0NycjKioqKg0WigUqnCCv9c\\\n",
       "CiH9ckMzhISQnoICISGEXCbO5wd7s9kMt9uNhISE016z/eOhxWYkEgmkUmm3wiDP83C5XKitrYXd\\\n",
       "boder4fZbIZarQ5r9SAEq/ZB9GwIjds5joNCoYjYtF0Ym9vtxu7du7Fu3TrY7XZkZ2dj7ty5MJvN\\\n",
       "bOloUVERqqqq4PV6WQN64Z6EBgixWAyFQgG5XI7a2lr07t0barUagUAACQkJ0Ol08Pl84HkeMpkM\\\n",
       "WVlZGDJkSIfKpWKxGGazGXfccQdKSkpQVlYGuVyO3NxczJ07F6NHj0ZSUhJUKlWHIjIUUs4NBUJC\\\n",
       "SE9BgZAQQnoYiUSCG2+8EW63G3l5eR1CyIXA8zyamprw/PPP4/vvv4fb7YbZbMa4ceMwd+5cZGdn\\\n",
       "Q6lUwu/3w+FwgOM4GAwGREVFsUI07T90ny4g8zwPj8eDiooKtLa2Ii0tDfHx8RFbUPA8j7q6Orz7\\\n",
       "7rvYunUr3G439Ho9YmNjcc0110Cj0SAqKgoFBQX4+uuv0dbW1iEMKpVKqNVqqFQqKBQK6HQ6pKam\\\n",
       "wm63w2q1smqjgwYNwtixY7Fz5054vV4kJibivvvuQ1paWsT3I5FIMGDAAPz617/GgQMHEB0djVGj\\\n",
       "RiEvLw9GoxEymSziHkiaGTw3FAgJIT0FBUJCCLlMnK8PnWKxGP369WNLFU8XqiK9vtC03uv1QqPR\\\n",
       "dJidas/n8+GVV17Bf/7zH7jdbgBAU1MTysrKsH79egwZMgQZGRkIBAKwWCxwu92IiopCfn4+Bg0a\\\n",
       "hJSUFPY6HMfB7/ezWT9hdqy9QCCA0tJStsxz0KBB+PWvf43k5OQOM5rBYBAHDx7Erl27YLFYWH/C\\\n",
       "ZcuWYfDgwUhNTWVVV0OL5gihS6lUYsCAAbjhhhvQp08fBINB1NfXw2q1gud5tLa2QqfTQS6XIzMz\\\n",
       "E4sWLcKYMWPgdDqRl5eHq666qtPiPgCg0+kwdepUjB07FiqVClqtllURPZPgQrqPAiEhpKegQEgI\\\n",
       "IT2M0LfvdIQlke1nmoTllRUVFWhqakJmZiYSExM7nWnkeR6FhYX44IMP4Ha7w2aw3G43iouLUVVV\\\n",
       "BbVaDZlMhmAwCL/fD57nIZFIoFarERMTg7S0NJjNZhYaPR4P0tLScPPNN2P48OFQKBQsGPI8D6fT\\\n",
       "iU8++QRffPEFbDYbdu3ahdLSUrz88sthS2WFpaxbtmxBc3MzAoEAe9/FxcWoqalBXFwcazshVC8V\\\n",
       "7qVYLEZ8fDweeOABXHPNNVCr1eA4Dm1tbSgqKkJTUxOcTid8Ph+USiW0Wi3y8vKQlZXFCtd0tgdT\\\n",
       "uFcymQxms5mFFOHcSKEltJhO6HUotJwZCoSEkJ6CAiEhhJAOhL18gUAAwP/28wnLMIuKirBixQo0\\\n",
       "NDRg3LhxmDx5MvR6fcRlnVarFX/9619hsVgiBpVgMAi32w2PxxM28yZ8tbS0oKamBocOHQorlCIE\\\n",
       "xtWrV+OPf/wjJkyYgJycHEgkEgSDQZSWluK7775Dc3MzgsEgvF4vli9fDp/PhzfffBMxMTEQiUQI\\\n",
       "BoOorKzEgQMHWOVPgUajgUKhAM/z8Pl8aG1tZeeELhUtKCjAyJEjw5rbSyQS9OrVi903Yc+gsO9S\\\n",
       "qDwauhw29P6E7lEUqo8Kr9v+vM7ahoReQzhGCCGEhKJASAghV7jQcAUgbIaps/MDgQC8Xi/8fj8r\\\n",
       "IgMALpcLRUVFWLZsGXbt2gWe56HT6TBkyJAOS0eDwSDq6uqwZMkSfP/99yxcdjXGrh4XrhlKeI2/\\\n",
       "/e1v2LhxI5YuXYqkpCR4vV5s2bIFNTU1rEgNz/Pwer1YtWoV/vjHP+KZZ56B2WyG3W7Hxo0b0dDQ\\\n",
       "EFbIRqVS4frrr0dmZiaUSiWrLCpULRWW3JpMJowcORJGo7FDNVaj0YiEhARYrVZ4vV643W6IRCK2\\\n",
       "7699GAwN4hzHQSwWs8qj7QvGRLpnoTOXQlAMbaUhjIucHs0QEkJ6Cvq/AiGEXMF4noff72f7/SQS\\\n",
       "SadtIoTZOo/HA6vVCpvNhmAwCJlMxmb6Dh48iJUrV+Lo0aNwuVwwGo3weDzw+/0IBoMQi8Vsf+GO\\\n",
       "HTvwxBNP4MiRI2x27ELgOA5NTU3Yvn07PvvsM8ycORN2ux2bNm1i1UBD+Xw+LF++HDzPY9q0aXA6\\\n",
       "ndiyZQuCwSA0Gg2kUikSEhIwadIk3HnnnTAajSwgRkdHw2AwwG63g+M46PV6DBkyBMOGDeuwDFfo\\\n",
       "FRgdHQ0AsNlsrFiNTqdjS2SFn4MQBD0eD1wuF8RiMZt17SxwhC7pbf/zDA2NXq+X9UrMyMg4X7f+\\\n",
       "inehgl5lZSXS0tI6HHc6nVCr1RfkNQkhpDMUCAkh5AolhMHm5mYUFRWhuroaPM/DbDYjJycHOp2O\\\n",
       "tWEQqnvW1taiqKgIdXV1rDm6SqVCS0sLdu/ejd27d6O+vh5+vx9isRharRYpKSkwGAxsaaTf78fx\\\n",
       "48fxxBNP4ODBg13ODHYl0l64rt6ry+XCxo0bWXg9duxYhxlF4VyHw4FVq1ahsLAQWq0WNpsNWq0W\\\n",
       "aWlpGDFiBGbOnIk+ffqELYPVaDS4+uqrUVJSggMHDkAmk2Hw4MGYNGkScnJyIs68icViqFQqGAwG\\\n",
       "NDU14eTJk/B4PEhNTUVOTg7MZjMrUiMsa3U6nXC73act1iMEeKH5fGf7CTmOQ3l5Ob777jscPnwY\\\n",
       "n376abfuaU93IWcIhTAol8sxfPhwbN++HYFAABqN5oL94oQQQjpDgZAQQq5QHMfBbrfj0KFDWL9+\\\n",
       "PQoLC2Gz2VgT9Pj4eBiNRnAcB4vFgvLyclRXV8Nut7NZspycHOj1ehQVFeGnn35CU1MT20MnBMDs\\\n",
       "7Gzo9XoWSsRiMdxuNywWS4dm7cJX+2WM7QmN70UiEbxeLyv0Eomwv04ikaCurg5r166F3W5HU1MT\\\n",
       "mz2LtHfRZrPh5MmTrGpnamoq5syZg1mzZiEhIaFDz0KZTIbs7GwsWrQILpcLSqUSOp0OCoUirBdj\\\n",
       "+3YUUqkUarUaSqUSRUVFOH78OGJjYzFhwgRcddVVMJlMkEql7J5IpVJoNBpoNJou+yYKATIYDEKh\\\n",
       "UHRalMblcuHdd9/Ff//7X9hstk7vOQn3SywZ9Xq953wNQgg5VxQICSHkEna2BUGEmbrq6mrs2rUL\\\n",
       "+/fvR3V1NRwOB/x+P44cOcIChBAshGWfQhVSnueRlpYGsVgMp9MJu93Oqn8C/1viGBMTE7b0USaT\\\n",
       "IS8vD2PHjsWXX37J2kzIZDK2VNLpdMJms3UIekKRlkGDBuGGG26AXq/HqlWr8MMPP8DpdHYIdmKx\\\n",
       "mFXulMlk8Hg8KCsrg9PphMfjCSvK0l4gEIDT6WQfys1mM4YPH856FUaabRMqggrft6++GhoGQ8co\\\n",
       "l8sRExMDpVKJlpYW2O12pKamok+fPoiKimL7NOVyOSQSCWtsH6mdhiAYDMLpdLJ9npH6KwJAVVUV\\\n",
       "li1b1iGgk66dTSDcuHFj2PGCggJMmDCh0+cNHDgQBw4cQHp6eth1CCHkl0SBkBBCLmFtbW0Qi8WQ\\\n",
       "yWSdNmiPRGi7UFxcjNLSUrS2tsLlcsHtdiMQCLAgxnEc+xKeFzqzlZ+fj+zsbASDQezfv7/Da7jd\\\n",
       "7g5jEpaavvDCC0hISMCqVavg8/mQlZWFyZMnIzMzE42Njfj666+xfft22Gw2VkDFYDBg4cKFWLx4\\\n",
       "MasCOn36dPzud7/DV199FVYFVCwWw2g0Ijs7G2q1Gi6XCzU1NbDb7fB6vew9icViSKVSVpzF7/ez\\\n",
       "PoZCqPX7/TCZTBFnBkPfV+g/Iz3eVSg0mUwYPnw4SkpKYLPZoFQqIZPJ2OymEAp5nmeznl39rIPB\\\n",
       "IOx2OzweDxQKRcS9ZzzP48CBA2hsbKQweIbOJhCuWLECK1asCHss0sx2U1MTYmJicPDgwQ79PQkh\\\n",
       "5JdGgZAQQi5hmzZtgkKhQFxcHFJTU2E0GrtVJZLjOFbVUliGKIQMIXwFAgEEg8FOq1Xm5uZi2rRp\\\n",
       "iIuLQ1paGvbt24fNmzeH7cvzer1wOBwdPjiLxWIkJCTgqaeewn333ccK0BgMBsjlcnAchxkzZmDr\\\n",
       "1q345JNPUFVVheTkZNx1110YN24c1Go1u2ZsbCwWL16MTZs2oaGhgQUms9mMX/3qVxgzZgwaGxtx\\\n",
       "8uRJVs1UWH4phCyDwYDMzExERUWhvr4eFRUVrKeg0OswMzMTWq220yWaofemM0LIjlTgRaFQYPDg\\\n",
       "wQCA8vJyZGZmwmQysVAYurS1O2FEaGXhcrlY8ZxIPSOLi4vPeh8nOTMzZ87E+PHj2fcFBQURz4uL\\\n",
       "iwPw89+T9PR0lJWVsT/XFAoJIb80CoSEEHIJW7ZsGRQKBZKTkzFu3DgMGTIEOp3utGFBJBJBo9Eg\\\n",
       "Pz8fXq8XCoUChYWFsFqtbOmjw+FAQ0ND2FJQIUBlZmbiqaeeQu/evSEWixEVFYX//Oc/mDVrFo4d\\\n",
       "O8Y+tPp8PhQXF2PcuHERl1iq1Wq2HK692NhYXHfddZg7d26nlTKBnz80DxgwAEuWLMHzzz8Pp9OJ\\\n",
       "QYMG4e9//ztyc3MhkUjgcrlQV1eHyspKNDQ0hPVP1Gg0GD16NH7zm98gJycHIpEI1dXV2Lx5M/bt\\\n",
       "2weO4zBs2DDMnj0bKpWqw+tzHAe32422tjbIZDIYDIYuZxE7C3MikQhGoxHjxo1jyzxD9x4K50T6\\\n",
       "90hkMhn0ej0LwEJF2Ej3mZYinrmzmSEcP348Fi9efNrzhb8/ob9cOZMiSoQQcj5RICSEkEuY0Bhd\\\n",
       "pVJ12TuwPWEvXnJyMgCw2YfGxkaYTCaMHz8eBoMBlZWV2LBhA/bv34/W1lbwPI+4uDj8/ve/Z03e\\\n",
       "heslJyfjqaeewt133w273c4+vFqt1rP+INvdD90ymQzXX3899Ho9rFYrJk6ciPT0dDZbqtFokJKS\\\n",
       "gpkzZ+LAgQOoq6sDx3FQKBTo1asX5s6di4KCAlY1NC4uDvn5+XA4HGzJpU6ni7hMMxgMoqamBhs2\\\n",
       "bIDD4cCIESNQUFAQNosp6M6SXmGPoPD+2xPuZWcN54XnSaVS6PV61uxeWAIbuu9QLBZjxIgRMBgM\\\n",
       "aGlpocBxBqgPISGkp6BASAghl7BBgwaxJaPJyckdet11RpjpU6vViI2NRVpaGsrLy+Hz+ZCeno6x\\\n",
       "Y8fCbDZDLBbj1ltvRV1dHQ4fPozm5mbk5+dj4MCBUCgUYdeUSqWYNm0arr/+enzyySfw+/2QSqWs\\\n",
       "yMqFJMyuzZ49GzzPs+IrAolEAqVSifHjx+PQoUP48ccf4ff7kZmZiRtvvBGTJk0Kq4QqPEelUp12\\\n",
       "mWYwGERtbS02bdqEkpIS7Nq1Cw8++CBGjBgR8efRnXDQ3QDRVSgUWlrwPB+2TDb0OcLS33vuuQf/\\\n",
       "+te/YLfbu/W65JcJhAqFgrWdIISQi4UCISGEXMKuvvpqNhPU3f2DoQFHIpFAKpXC5/OxJZVyuZy1\\\n",
       "QRCqdOr1emRnZ7P9b53NdGm1Wjz55JM4deoUjhw5AqPRiN69e/8iMyTCWDsjzPzde++9mDRpEpRK\\\n",
       "JTIyMhAfHw+lUtmhYmd3P/CLxWLodDrI5XLY7XacOnUKGzZsQL9+/WAymS7Ie29fnCbS7LAwS6hS\\\n",
       "qeDz+QD8HF7b/+xUKhUef/xxjBkzBps3bz7vY71SXchA+Prrr+O3v/0tfD5f2M+EgiEh5GKgQEgI\\\n",
       "IZcwoe2DXC4PKz4iCA0OkWaThEqgx44dw+7du9HQ0ICqqio0NzfDZDKx84Tw2FWbA+G8lJQUPP30\\\n",
       "03jrrbeQkJCAvn37XvQlc8J9kEgkSEtLQ3p6OrtfZ7LUNhKJRILU1FRMnDgRVqsVbW1tkEgkYRVP\\\n",
       "zzdh1k94T0DkgCKEQqFaaiAQYIEwdJZQr9djypQpmDhx4gUb85XmQgbCBx54AA888MDZDIsQQs47\\\n",
       "CoSEEHIJUyqVLKy1DzZCRctgMAiO49hMUmiDdJ7n4fF4UFlZCYvFAqfTiUAggOrqamRmZp5VWBKK\\\n",
       "zowcORLR0dHQ6XTn5b2eLeF9CnvopFJpWCuHcyUszczJyUFeXh5qa2uRkJDQrdnasyW8J6EKLIAu\\\n",
       "34/wcxTuQaRfDpyPcEwIIeTKQ4GQEEIuYULvvNDZHiEoOBwOVFRUoKamBlKpFAkJCYiPj4dOpwsL\\\n",
       "Ky6XC8ePH4fVaoXP54PX68V///tfthz1bJjNZkyZMgU6nQ4ajeYXnyEUApPf74fdbkdTUxN8Ph8M\\\n",
       "BgPi4uLYfevONYCuZ4OEqqx5eXnQ6XSor69HfHx8xL5/kV4j0vW6g+M41i9RJpNBJpOxsBt6HeGf\\\n",
       "HMfB4/HA7/dDq9VGrIR6sWdyLydUVIYQ0lNQICSEkEtYpGqUHMehsbERH374IZYvX46WlhZotVrk\\\n",
       "5+djzpw5GDFiBEwmE5sl02g0bCZRCEE7duxAa2trxEqZXRGWMrpcLigUChiNxtMuMz2Ta5/uMWEm\\\n",
       "0Ov1orGxERs2bMBXX32FyspKSKVSjBs3Do8++igSExNP+76EZZbCskypVNrlDJxGo0GvXr3Y7ODp\\\n",
       "wnQwGGT3PLQdhTCT29X4hHN4nofX64XT6WRFcISG9qEzwcI9sVgs8Pl8iI2NRUxMTLeLEJGOKBAS\\\n",
       "QnoKCoSEEHIJ62xP4Pfff49//etfqK+vZ60Gampq4HA4kJSUxArQSKVSxMXFYdCgQdi9ezfrz+d0\\\n",
       "OuF2u89oLBzHwWaz4ciRIygsLERSUtJ56XEnLHMMXR4pzP45nU60tbXB5XKxgOV0OlFeXo5NmzZh\\\n",
       "69ataGxsZO/LYrFg2LBhuPHGG7tcHikEW7vdDq/XC6VSCa1W2+nMorBsV6lUQiqVspDX2b5NYbZO\\\n",
       "WKIrkUjYLJ/w1VkoFIKIEOiDwSBaW1tht9shlUoRHR2N6Oho1opECI0WiwX79u1DYWEhUlNTcc01\\\n",
       "1yApKem8BfaehgIhIaSnoEBICCGXEY7j0NLSgo0bN6KlpYXNcHEcxypgNjQ0APjfB1qtVouFCxdi\\\n",
       "zZo1KCoqAsdxSEpKYj35uvu6ZWVlWLp0KTZv3gye5zFx4kQMGDAABoPhnN6P0PRdCH1+vx9WqxXH\\\n",
       "jh3D1q1b2XJXYemmWq0Gx3FobW2F1WplLRcAwG63Y/369Zg+fTqMRmOn708IlvX19bBarVCr1UhO\\\n",
       "TobJZOp05k+YtRNCmrBXLzTYhc6gNjY2orGxER6PB3K5nFWKNRqN0Gg0rIn86UKhSCSCy+VCZWUl\\\n",
       "bDYbdDodevXqhaSkJGg0GvA8j6amJmzZsgVffvklSktLoVar0dzcjPvvv7/L+0A6R4GQENJTUCAk\\\n",
       "hJBLWOgySiFstLW1Afi5h5nP50MwGGRhRQgeocsfJRIJcnNz8be//Q3PPPMMLBYLHnzwQURFRXV7\\\n",
       "HHa7Hc8++yy++uoreL1eSCQS7Ny5E1arFQkJCV2Ov7MPy8JsZ3FxMY4fPw6bzQYAcLvdKCsrw969\\\n",
       "e3Hq1CnY7XYEg0EAYG0W9Ho9lEoloqKiIJPJ4PF4wPM8FAoFampqUFxcjIEDB0YMdxzHweFwoKSk\\\n",
       "BCdOnEBbWxuio6O7bE4vEO6zsL/P6/WyfZlut5vNaFosFjQ2NsJqtSIYDEKlUsFsNrMKqMJrRBpf\\\n",
       "6M9cCKDCz6C4uBgulwunTp1CTk4OEhIS4Pf7sW/fPnz11VcoLCyEx+OBRCLBhx9+iEGDBmHs2LFQ\\\n",
       "KBRsRpMKy3QPBUJCSE9BgZAQQi5hwlJIAGyfmFQqxahRo2C321FSUgK73Y5AIACdTocxY8YgJyen\\\n",
       "wzJBuVyOyZMnIy0tDTU1NRg1ahSboTodYQZq586dLHjxPI+2tjZ4vd4unxdatCXS43a7HXv37sXu\\\n",
       "3bvh8XhYb0SLxQKbzcaKqghVVIU+ifHx8RgwYADi4+PhcDhQWlqK1tZWtLS0wG6349tvv0VMTAxS\\\n",
       "UlLC7gXP83C5XDhw4ABWrFiBkpIS8DyP9PR0xMTEIC0t7bT3I3R/X2trK44ePYrdu3fj5MmTaG1t\\\n",
       "BfBzWFcoFKz1hRBe7XY7ey8mk4nt8ROWzLZv/yEEYZFIxIoIVVdXg+M47Ny5EyaTCW63GydOnEBV\\\n",
       "VRX7+QSDQVRVVeHzzz9Heno6EhISIBKJEAgEwtqNEEIIIRQICSHkEiYs/wTAgkJUVBSmT5+OQYMG\\\n",
       "oaioiAWRlJQUzJw5E2azOWIAUygU6Nu3L3r37t2tKpyhhGb2YrGYNT83Go2dLhcVlrG2X1LZHsdx\\\n",
       "sFqtsFgs8Pv9MJvNSEhIQExMDHu96upqtt9Ro9GgT58+uOmmmzB27FhER0eD4zjU1dWhuroa33zz\\\n",
       "DQ4cOIBvvvkGTU1NeOyxx1gvR+DngFVZWYkPP/wQW7ZsYfvy6urq0KdPHwwdOvS090IIbVKpFIFA\\\n",
       "AIcPH8YPP/yAqqoq+Hw+SKVSaLVamEwmNlsLAI2NjbBYLGhra4PdbkdaWhoUCgUcDgfKy8tZtdjM\\\n",
       "zEz06tWLLfUUqqhWVFSguLgYtbW18Hq9EIlEkMlkrOKsz+frsAfz0KFD2Lp1K/Lz88FxHFwuFyZP\\\n",
       "ntztn3tPRjOEhJCeggIhIYRcwt59911WSKRv377IysqCwWCAyWRCYmIi+vbti3HjxsHlckGr1cJs\\\n",
       "Nnc68xc6+3QmH2BFIhFiYmIwf/58vPbaa2wf29y5c7ssKiPs6+vquiqVCklJSYiJiQEA5OfnY8CA\\\n",
       "AYiNjWWzXLt378aRI0fgdruRkZGB6dOnY+jQoTAYDGwmzWg0Ijk5GaWlpdi2bRvq6+tRU1OD5uZm\\\n",
       "/L//9/8QFxcHAPD7/Th69Ch27tyJ2tpaBAIBiEQieL1eHD16lM3IdeeeyGQy1oPRZrOxPZCBQAAy\\\n",
       "mYzNBHq9XthsNrYUtqysDKWlpejVqxdEIhFOnTqFQ4cOoampCTzPw2w2Y/DgwRg5ciSSkpLgdDpx\\\n",
       "4MAB7N69GxUVFXA4HOzeCvc+tCBP6P1vaWnBTz/9BLvdDuDnGecpU6Z06z1eyhYuXNit2dxzQYGQ\\\n",
       "ENJTUCAkhJBL2Oeffw65XM5mjPr27QuFQsFmvORyOTQaDQKBAMRiccTec6GEfWRd7e2LRKlU4p57\\\n",
       "7kFiYiIOHDiAPn36YNasWV324mvfJy/S4yqVCtnZ2WhtbYVGo8HgwYORmprKlo7m5ORg9OjRcDgc\\\n",
       "cLvdUCqVbP9g6F44pVIJiUSC9PR0eL1eeL1eeDwe/PDDD3jvvffw4IMPQqlUwuv1orS0lM1ICsHK\\\n",
       "4XCgqKgobInu6YjFYuj1euTk5ECr1YbNngphUaVSwWKxoLm5GTabDRzHoaGhAfX19Th16hQ4jmPB\\\n",
       "VZjha2lpQU1NDQ4ePIisrCyIxWIUFRWhvLwcTqczLLSGFrOJRNhv6Pf7oVarqQ3FGaBASAjpKSgQ\\\n",
       "EnKZKysrw9atW1FRUQGXy4WYmBgMHDgQw4cPh1KpvNjDI+eotbUVSqUSHo8Her2etRpoH7bOpFqo\\\n",
       "ECgkEkm3C4wIe95uvvlmXHfddWGtEzoTqYdiexKJBGazGX369EFUVBRSU1Oh0WjYc4V2DWq1ussm\\\n",
       "8kIIE2YWheWqLpcLn376KWbMmIFevXrB5XKhtrYWHo+HnQOALbs8EyKRCEqlEv3790dubi7q6+vh\\\n",
       "dDrZeIXloi6Xi80QCvtAhZYawj5Kr9fLwqnQ3qO4uBgWiwUSiQRWq5XNQHaX8P4rKirg8XhgMpnO\\\n",
       "qSJsT0RBjxDSE1AgJOQy9fHHH+O1117D3r17ERcXh8TERKhUKrS0tKCkpARKpRK33HIL/vjHP17w\\\n",
       "pVXkwikoKIDJZMKUKVMwdOhQKJXKiH3v/H4/W6ool8sjBrVAIID6+nrs2LEDzc3NGDRoEJvd6qop\\\n",
       "u0AkEkEul3drlqm7syvCNU0mE8xmc4eZv+5eTyj0YjQaw5aqchyHiooKrFy5EnPnzkVDQwP27dsH\\\n",
       "r9cbNqsmEolYG4fQ1wldmhnp9SUSCdLS0nDDDTegurqaFakRisB4vV40NjbC7Xaz2UchiArfh85U\\\n",
       "hr6ux+NBS0sLRCIRqybb2XuPNEMotPQQWmvodDq2xJWcHs0QEkJ6CgqEhFyGBg4cCLlcjoULF+Kr\\\n",
       "r75CSkpK2ONerxc7d+7EZ599hiFDhuCNN97AvHnzLtJoybm49dZbYTAY0Lt3b2i12ohh0Ofzob6+\\\n",
       "Hq2trTCZTIiLiwtbVgr8HA4sFgvefPNNfPHFF3C5XMjJycGCBQswadIkxMbGsiD5S364FcZ/prNf\\\n",
       "nYkUnDiOQ3l5OSorK1FUVITa2toOAUwikbC/V6Fj83q9CAaDUCgUEUOzEETVajXrT+j3+9Ha2gqX\\\n",
       "ywWfzweHw9FhTEIlUOHfOxNaJCYSYV9o6Mxv++cHAgE2I9pVVVhCCCE9EwVCQi5Df/3rXzF16tRO\\\n",
       "H1coFBg3bhzGjRuHv/zlLygvL//lBkfOq+HDh0MqlUKn00UMJMKSw8OHD6OkpAQpKSkYPnw44uLi\\\n",
       "2AyH0O9vzZo1eO+991jxkra2NjidTng8HkyYMAGJiYlQq9Xdmi08H4RQZLVaUVFRAblcjpiYmG63\\\n",
       "w2iP4zhUVlbC7/ezY0KvP6/Xi7q6OpSUlLClmqFUKhUGDx4c1qJCuF5LSwtrS9G+b6DQ03D37t0o\\\n",
       "KytjPROdTifrVxip4IuwjzO0NUd7Qtjr7HGxWAyNRoPo6GjY7XbW87A9oeJrIBBg1VrJ6dEMISGk\\\n",
       "p6BASMhlqKsw2F50dDSio6Mv4GjIhSTMPEVqYA78L1TZbDZYLBYolUo4HA6YzWYWbnieh8fjwcGD\\\n",
       "B2Gz2Vho8Pl8aGxsRGFhIXJzc1noFIvFv9hMoRAIq6qqoNPpkJ2dzZqonwnhPtTV1YXN/gnVQGUy\\\n",
       "GQKBQIelosI5arUaMTExYa8bDAZRWlqKiooKVkCmfYXWYDCI2tpa7NmzB1arFX6/P2xfYleB73SE\\\n",
       "pvRCtdL2JBIJ4uPj0a9fP1RUVODYsWNh+yJD39/pis+QjigQEkJ6CgqEhFwhGhsb0djY2GEpXP/+\\\n",
       "/S/SiMj5IBQGCv1AH/rhU6jUmZycjNbWVmi1WgSDwbBZqUAggMrKSmzbto01Lgd+DixtbW04efIk\\\n",
       "srKyoFQqwfM8TCYTq9p5IQnFU7Zu3YqNGzfixIkTSE1NRZ8+fSK+dvs9f6HH/X4/rFYrtm7dyvbm\\\n",
       "CbOD0dHRSE1NhVarhUajYfsUQ4vr5ObmIiEhIWxsdrsd//3vf1FWVobdu3fj7rvvxoABA9jPxOPx\\\n",
       "YP/+/XjqqaewZ8+esHvbFWGZaegY2pNIJFCr1TAajXC73WyfoXB9qVSKnJwcPPvssxg4cCDq6+vx\\\n",
       "3HPPYdOmTWxZqPD+lUol6zvJcRycTudpx0goEBJCeg4KhIRc5vbt24fbb78dJ06cCKvCKASH87Ev\\\n",
       "i1w8wgdNjuPAcVyHmTuxWAytVotBgwYhIyMDPM+zmSxhdsrr9aKyshJtbW0dri2Xy6HVaiGTyeD3\\\n",
       "++FyuaBSqdhM4YX6oCuEuFOnTmH16tUoLCzEqVOnEBsbiz/84Q+IiopieyA5joPf74fNZoPX64VS\\\n",
       "qYRGo2FLS4VZuqNHj+Lw4cNsRk2oAtq3b18UFBQgLi4OXq8XaWlpaGlpYcFJp9Nh8uTJbI+mMNtY\\\n",
       "UVGBXbt2obW1FZWVlbBYLJg5cyYyMjLQ3NyMVatWYd26dWhubu52uwohpKlUKigUCrjdbrjdbvb3\\\n",
       "VFgmajQaWUitra1FYWEhm92VSCRITk7G008/jWnTpkGpVCIlJQWvvPIKHn/8cWzbtg0+nw8ajQYZ\\\n",
       "GRno3bs3jEYja3D/7bffXoCf6JWHAiEhpKegQEjIZe7OO+9ETk4O/vOf/7B9Y+TK0X4mLBKpVAq9\\\n",
       "Xg+tVhv2SwHg57Dk9XrhcDigVqshk8nA8zzEYjF0Oh0KCgowffp09O/fH0ajEQqFAoFAAD6f76ya\\\n",
       "2LcnzGoJv6AIDbg2mw1r1qxhYcfhcOCbb77BkCFDMGXKFKhUKtY64ejRo1ixYgVKSkoQHR2NoUOH\\\n",
       "Ii8vDwaDAXa7Hdu3b8eBAwdgsVjYa0mlUsTHx2Py5Mno168fNBoNdDodKioq0NTUhPr6etbr8Kqr\\\n",
       "rgrbuyg0sG9ubobH44Hb7WavIewbFILcmSzDlEgkiImJwYQJE5Cfn4+amhps2rQJFRUV8Pl8kMlk\\\n",
       "SEpKwqRJkzBixAjodDqUlZXhxx9/xJEjR+ByuRAbG4uFCxdi0qRJrA2JRCJBZmYmXnjhBXz11Vdo\\\n",
       "bGxE//79MXToUMTFxbEls06nkwJhN1EgJIT0FBQICbnMlZaW4quvvkJWVtbFHgq5AEJDSlc9/4SZ\\\n",
       "JUHo3jW/3w+RSITExERYLBa4XC5ER0dj/PjxWLBgAXJzc1mDeb/fD5/PB7fbDbFY3OXSUWHmjuM4\\\n",
       "SKXSDuExEAjA4XDAarVCJBKFNZT3+Xw4efIkNm3axKpwchyHxsZGfPfdd0hKSkJqaip8Ph8OHz6M\\\n",
       "999/H3v27IHD4YBUKsWmTZuQlZWF5ORkeDwenDp1ir034V5otVqMHDkSEyZMQHx8PCQSCVQqFa65\\\n",
       "5hrU19dj586dAIBBgwYhNjaWzQ4Key5LS0sRCATY7J3D4YDdbmeztWdKWN573XXXYfHixYiNjQXP\\\n",
       "87BYLNi7dy8OHz4MuVzO+hoaDAaIRCLk5eWhX79+OHHiBOx2Owuwer0+7M+EVCpFeno6Fi5ciEAg\\\n",
       "gKioKNbTsTu/WLicvP3226itrb2gr0GBkBDSU1AgJOQyN3HiRBw6dIgC4RWqfcXNM/2AKizNFIvF\\\n",
       "SEpKgsvlAsdxmDFjBmbPno20tDRWxEVYkup2u9HS0sJmo1QqVYfXFQq47N69Gy6XC3369EGvXr1Y\\\n",
       "Hz+fz4eKigp89913+OmnnyCXyzF06FCMHDkSMTExaG1txYoVK1BRURG2XBIA6uvrsX37dpSUlKCi\\\n",
       "ooLNjtlsNrYcVFjeWlxcDK/XC5vNxsIs8HOl3d69e+PWW29Famoqe48SiQRZWVmYMWMGxGIx2tra\\\n",
       "kJWVBZlMxmYzOY6Dz+dDIBCARCKBWCxmQbGrMCjsDeyqeqjJZMItt9yClJQUVihIo9EgOTkZ11xz\\\n",
       "DftZCQEb+HlJq9lsRv/+/cHzPBQKBRQKRcSgLpPJYDabWTGdrn6JQAghhAAUCAm57L3zzju4/fbb\\\n",
       "cfToUeTn53cIELNmzbpIIyPnw7l+oBeCnt/vZ20doqKiMH78eKSkpHRoBC8Wi2Gz2XDkyBHWmy8l\\\n",
       "JaVDfz6LxYLnnnsOq1evRjAYRJ8+fXDrrbdixIgRUCqVqKiowLvvvovVq1fDarUCADZu3Ij8/HwM\\\n",
       "HjwYPp8P27Ztg91uZ6+rUChgNpthNBpRWVmJ3bt348iRI6itrYXH40EwGAxrxeDz+VgPQ6GgC8/z\\\n",
       "kEgkMJlMuPHGGzFo0CAolUoWNoU9l/n5+bDb7aiurkZ8fDzr1ydU9QSA1NRUmM1mVj1U+GrfCF7Y\\\n",
       "ixkXF4fk5GS0tLSgvLwcHo+nw88iPT0dWVlZYWFOWN4qvK/2gVMqlbKiMML5of8UxiIEWmGpL4XB\\\n",
       "c0MzhISQnoICISGXuZ07d2L79u1YvXp1h8eoqEzPJoQnmUzGwk9zczM4joNcLu8wgyQSieB2u7Fi\\\n",
       "xQp8+eWX8Pv9GDt2LB588EGkpqZCKpWy5ZR///vf8cEHH7AZucbGRpSVlWHWrFmIj4/Hpk2bsH37\\\n",
       "djgcDhZYPB4Ptm7div3790OlUsHj8SAQCLAwmJ6ejgkTJiApKQlHjhzBjh070NDQEPZnWCqVQq1W\\\n",
       "w2QyQaFQsOIwgUCA7R2Uy+UYN24cfvWrX0Gv13eoyiqVShETE4OrrroK6enpkEgkbO+kENRUKhXG\\\n",
       "jRuHQCCAkydPoqqqCuXl5aiqqmK9BkUiEXQ6HaZPn47FixcjJycHMpkMTqcT//znP7F06dKwvn9K\\\n",
       "pRILFiyA0WiMGCCEACKE+NDiOJ2Fk9DG88K+T6EoEDk3FAgJIT0F/R+DkMvcgw8+iAULFuCpp55C\\\n",
       "XFzcxR4OucSIRCIoFAr4fD7U19ejsbERDocDzc3NEZulWywWfP/996xqrcfjwbBhwxAXF8fCo9CI\\\n",
       "vX3PvaamJhw4cABxcXEoLi6O2IZBKHIjNG0Hfp61k8lkiImJQVpaGvR6PSuAElq0RViSaTAYWJBz\\\n",
       "uVxs7AKFQoGxY8d2CIOhJBJJ2B48oZWEEPQAQK/XY+TIkejduzcaGhpw4sQJ7N69GyUlJfB4PEhM\\\n",
       "TMSdd96JG2+8Mawqqkwmwx133IEvvvgCx48fZ0txU1JSMH78+NO28wgNgO2LBLUn/Izq6urgcrlg\\\n",
       "NBohl8s7tCchZ44CISGkp6BASMhlrrm5Gb/73e8oDJKIhA+1jY2NqKurg9Vqhd1uR3FxMUaMGBF2\\\n",
       "Ls/zKC4uxokTJ1ivuqqqKvz4448YP348C01erxdWqzUshAl7FZubmyESieBwOCLutRP2tqlUKjZ7\\\n",
       "xnEcAoEA7HY7PB4PoqKiwpaohhKWg+bk5EAkEsFisaCxsTGs1YrZbEZBQUGns2TCuGUyGXQ6HRsX\\\n",
       "x3Hwer3gOA7BYBCBQAB6vR5qtRpxcXGIj49HQkICSktLodVqMXnyZBQUFECtVndoBRIfH4/Fixfj\\\n",
       "kUcegd1uh1arxQMPPIDk5ORuhYfuhhGhrYgQ9OVyeYfKruTsUCAkhPQUFAgJucxdd9112LhxIzIz\\\n",
       "My/2UMgliOd5uN1uHD16lC2v9Hq9OHz4cMTlxKWlpaySJvBz+CsqKoLb7WYBQ5jR6+z1uiq6olKp\\\n",
       "kJmZCbVajZKSEjYL6Ha7UVNTg7KyMiQkJCA5ORk6nQ42m63DLKNKpUJiYiK0Wi2am5tRV1fHqpQq\\\n",
       "FAoMHjwYiYmJnS6xDAaDCAaDEIvFLHgKM5JWqxVtbW3w+/1QKBSIioqCSqWCUqmEWq2G2WzGsGHD\\\n",
       "YDabERcXx4rVtCeVSnH99dfD5XJhy5YtuPrqq3HLLbd0GnQj3SuhQM3pwobQb1EikUCn04VVew0t\\\n",
       "cBPa1J6cHgVCQkhPQf9XIOQyl5OTw5pR9+vXr8MH9YceeugijYycD6dbMni68ziOQ1VVFY4dOwaP\\\n",
       "x8P2phUWFkZspu52u8MCnXBdIWQI4SM2NhZisTisQqhcLoder4dOp2MBRZitEovF0Gg0mDhxIiZN\\\n",
       "moSSkhKUl5ezIMdxHFpbW1FSUoKxY8eioKAAR44cQVNTEyvOIuyXc7lckMlkSElJgUgkgt1ux/Hj\\\n",
       "xxEIBBAfH49Zs2axJvOh70N4vrDnUCi+IlQVra6uxs6dO3HixAlwHIe0tDSMGzcOiYmJ0Gg0UKlU\\\n",
       "0Ov1bIZTJpN1+XPR6XS46667MH/+fCiVyrDiNt3RvnhMZ+cIjemFgjmhBWg4joPH40FrayssFgts\\\n",
       "NhvGjBnT7TEQQgi58lEgJOQy984770Cr1WLz5s3YvHlz2GMikYgC4WWusrKSzWQJM1VSqTRsj5kQ\\\n",
       "dIQKk0LfOWF/2a5du9DU1MSCHs/zaGxs7BAIRSJRh+WPUqkUubm50Ol07DVlMhmSk5PDKnJKpVJE\\\n",
       "RUUhPT0darUaVVVVaGpqYoFRo9Fg9uzZePjhh2EymbB161Z89tlnLDACgM/nQ21tLSQSCfr06YP5\\\n",
       "8+fj1KlTKCoqYtcR9iq2tLTAaDQiNjYWJpMJJ06cgM/nQ3Z2Nq6++mr2i5HQCpxerxd2ux1OpxMy\\\n",
       "mYy1yAgEAmhubsaPP/6Ir7/+GnV1dZBIJEhPT0dmZibr5yeTydhX+56LkQhhrbNZxO7ozvMUCgUr\\\n",
       "ENR+dlDo7bhy5Ups3rwZdXV12LZt21mNpaehGUJCSE9BNakJucyVlZV1+lVaWnpeXuOf//wn0tPT\\\n",
       "oVQqMWzYMPz0009dnr9s2TLk5uZCqVSiX79+WLVqVdjjPM/j6aefRkJCAlQqFSZNmoSioqKzGlv7\\\n",
       "JXHtv3bs2NGhUuPl9DVq1CiMHj0aEydOxJ133olly5ahtrYWPp+PLX0U9vTV1tbCYrHA7XaznnxC\\\n",
       "03Ov1xt239xuN1wuV9hyTKGqZWi4iI2NxcyZM8N6EYrFYsTExLBZQJlMhqioKPTv3x8FBQVIS0tD\\\n",
       "VFQUC04KhQJ5eXm49957kZOTA7PZzJqyhxJmCf1+P6Kjo3H11Vdjzpw5Ya/NcRysVitKSkrAcRzi\\\n",
       "4+Nx9dVX46abbsKCBQswZcoUmM3msH6AwpLUxsZGFBUVoaKiAlarFR6Ph/Uw3L9/P7799lucPHkS\\\n",
       "TU1NaGpqQmlpKWpqatiyVpFIFBa4u+tChoXQJbzCLwrav67L5cKhQ4dw6NAhnDp16oKN5Upzpn9X\\\n",
       "L0UWi4XajxBCTov+K0HIFaqurg4vvvjiOV/n888/x+LFi/HMM89g//79GDBgAKZOnYrGxsaI5+/Y\\\n",
       "sQPz58/HXXfdhQMHDmDOnDmYM2cOjh49ys558cUX8Y9//ANvvfUWdu/eDY1Gg6lTp3bo20aA6upq\\\n",
       "VFZW4vjx4/juu+/wyCOP4NVXX0VZWRlcLhe8Xi+cTieqq6tx+PBhHD58GJWVlWhtbWVLMMvKyjrs\\\n",
       "6wsGg6ipqYHf72dFVFpbW3H06FFIpVJIpVJotVpMmDABAwYMCNt3FgwG2bJJhUIBo9GIAQMGYPLk\\\n",
       "yejfvz9SU1NhNBpZbz2FQoHc3FykpaVBLpdDKpVCoVB02MvG8zxcLhdsNhsLmZMmTUJsbGzYrJfX\\\n",
       "60VxcTFqa2shEomg1+uRmJiIlJQUREdHsyWTwgyZUIXz4MGDOHToECorK9HW1gan04m2tjYUFRWx\\\n",
       "MOh2uxEIBODz+WC322GxWOB0OlmxGeDMZo4upNBlwp2NRyKRwGAwwGQyhVV2Jad3JQRCs9nc4Rcv\\\n",
       "hBDSHi0ZJeQyd+edd0Y8XlFRgZ9++gmPPvroOV3/5Zdfxj333IM77rgDAPDWW29h5cqVePfdd/HY\\\n",
       "Y491OP+1117DtGnT8MgjjwAAnnvuOaxbtw6vv/463nrrLfA8j1dffRVPPvkkZs+eDQD48MMPERcX\\\n",
       "h+XLl+Pmm28+p/FeiYQPdH6/H42NjVi2bBmSk5Nx7bXXQqvVwuFwoKamBsePH2fLLtPS0iAWi7Fn\\\n",
       "zx7U19d3+FDo9XqxatUq1n6hoaEB3333HdauXYtgMAi5XI7ExESMGTOGLRcVxuLz+eD3+6FWqyGR\\\n",
       "SJCdnY2ZM2fi6quvhk6ng1QqZb32hFk6qVQaNlOhVCrZdUPHFggEWCN7mUyGhIQEJCQkoKKigp0j\\\n",
       "hNktW7YgOTkZmZmZ0Gq1bFYTAAs+Pp8PTU1N2LdvH/bs2QOv14uMjAwkJCTA6XTCZrNh7dq12LFj\\\n",
       "B5xOZ1hg8vv9aGtrg81mg8vlYnsjL6UKnqfbYyoSiWAymTB69GgcO3Ys4r5REtmVtGS0/d8zQggJ\\\n",
       "RYGQkMtca2tr2PfBYBClpaU4ceIE3njjjXO6ts/nw759+/D444+zY2KxGJMmTcLOnTsjPmfnzp1Y\\\n",
       "vHhx2LGpU6di+fLlAH5e4lpfX49Jkyaxxw0GA4YNG4adO3dSIDyNYDCIxsZGfPfdd0hKSkKvXr3Y\\\n",
       "zN6BAwfgcDhw6tQpJCYmgud57N27FxaLJezDoEgkgtPpxKefforly5ezmTKPx8P26ikUChaAAoEA\\\n",
       "66UXDAbZUlOz2Qy1Wo2ZM2di/PjxrPWJ1+sNC4SBQABNTU2sYA3P89DpdEhLS0NJSQlrbg/8r6+e\\\n",
       "0H9QJpOxfoHC2Hieh81mw6ZNmyCVSjF16lT07dsXGo2GhUyhlUVzczN2796NlStXorS0lDVtj4uL\\\n",
       "g9frxfHjx/HDDz/AYrGEVV0VlpoKM602mw0GgwFqtRpSqbTD/TydCxEghRlQ4T5Hur6wj3Ho0KFo\\\n",
       "bm7GunXrzusYrmRXUiAEwscol8s7LCMnhPRcFAgJucx98803EY//5S9/wfLly3Hfffed9bWFD8nt\\\n",
       "exzGxcXh5MmTEZ9TX18f8fz6+nr2uHCss3MiEdolCGw2W/ffyBUmEAigqqoKR44cAQC0tLSguLgY\\\n",
       "NTU1bMmlzWaD3+9HVVUVfD5fh9kBv9/Pfr5+vz+sAbyw/y4YDMJms8Hj8UCr1QL4X89ApVIJs9mM\\\n",
       "hIQE5OXlwWw2Q6lUguM4KJVKtu9PCC1Cj0HhNZRKJRITEyGVSsMa3LcvliPMLoZ+mA0Na4cPH0Z8\\\n",
       "fDyio6NhNpuhUCjYHj+Px4PGxkYcPXoUJSUlsFgs0Gg0aGxsRG1tLVpaWnD06FE0NDREbMHB8zwc\\\n",
       "DgfsdjtbShravqH9P4Uxth/rmYbHM3W6mR+RSASdTof8/Hy0tLSc99cnlzbhz8fbb7+NP/3pT7BY\\\n",
       "LGG/hCGEEAqEhFyh5s+fj+eff/5iD+O8Wbp0KZ599tmwY88888xFGs3FFQwGUVVVhY8++giJiYks\\\n",
       "+AhLHiUSCQtaLpcrLHAJfD4fvF5vh8AS+hptbW04ePAgsrKy0K9fP2g0GlbIJisrCwaDAf369UNB\\\n",
       "QQF0Oh3EYjECgQA0Gg1MJhPbIxgMBmGxWNDU1IS0tDRIpVIYDAZMnDgR27dvR0lJCQtkcrkcSqWS\\\n",
       "taMIBoNsaWrosjeO42Cz2XDkyBG0trbCbrcjLy8Pw4YNQ1RUFHieR21tLVatWoVvv/0W1dXVCAQC\\\n",
       "kMvlcLlcqKyshMfjYfstIwXCYDCIsrIyHDp0CEqlEiaTCUajMaz5u7DfMBgMsgI7wlg5joPf74ff\\\n",
       "72czdXK5nC1rPR+EJa5dFboRiX7u/5iXl4ekpKTz9to9weUw89eeSCSCQqHosCd77ty5uOeeey7S\\\n",
       "qAghlzIKhIRcoQ4dOoSBAwee0zXMZjMkEgkaGhrCjjc0NCA+Pj7ic+Lj47s8X/hnQ0MDEhISws4p\\\n",
       "KCjodCyPP/542FJUm82Gd95554zez5VC2MdXVVWF2tpaNgsXumwwdHYu0gxV++PtCTNsR44cgUaj\\\n",
       "AcdxyMnJgVqthlKpRP/+/SGRSBAXFwe9Xs9CjlgshlQqhU6nY7N1AODxeNDU1IRAIACZTAalUolB\\\n",
       "gwZh2rRp+PTTT9Ha2gqRSASNRgOJRAKv1wuFQoFgMAiDwQCFQsECrHAPOI6D2+1GZWUl1q5di4qK\\\n",
       "CqjVamRlZcHn82HXrl347rvvUFZWxj4cezweuFwuVFdXs9nRzgqt8DyP6upqbN68GQ0NDeB5nvUh\\\n",
       "lEql8Pl8bHa2uroaYrEYsbGxMJvNkEqlcDqdqK+vR2trK9RqNXJzc5GVlcX2O54Pwn0Qi8VdXlMI\\\n",
       "CbGxsefldXuCy3nJaGZmJgBg0qRJWL9+PQAgJiYGwOlnlAkhPQ8FQkIuc+336wE/h6tvv/0WM2bM\\\n",
       "CHv85ZdfPqNry+VyDB48GBs2bMCcOXMA/BwkNmzYgN/+9rcRnzN8+HBs2LABixYtYsfWrVuH4cOH\\\n",
       "AwAyMjIQHx+PDRs2sABos9mwe/du3H///Z2ORaFQQKFQnNH4r2TCsslIM1vdfX4kQmsFIcw1NjZi\\\n",
       "586dkEgkUKlULNBoNBqIxWIoFIqw2TuhybsQ7mQyGZu1FGYrhV6KMTExmDZtGk6ePIm9e/eyx6xW\\\n",
       "K1paWiCRSODz+djePYfD0WHJplB1tLKyEna7HXq9HhaLBQ6HA+vWrUNxcTHbuyi8v9C9iKe7R06n\\\n",
       "E5WVlbBYLGhpaYFarcaYMWNYMZ+DBw9ixYoVOHnyJAKBAGJiYpCamgqdTgebzYbKyko0NTUB+PlD\\\n",
       "+oIFCzB27NgO/R7PhRDuT7dP8VKuhnkpuhIC4YYNGzBy5Ehs374dWVlZKC4uvsgjI4RciigQEnKZ\\\n",
       "O3DgQMTjQ4cORWNjI2sPcbYfWBYvXozbb78dQ4YMwVVXXYVXX30VTqeTVR297bbbkJSUhKVLlwIA\\\n",
       "Hn74YYwdOxYvvfQSZsyYgc8++wx79+7Fv//9bzaORYsW4fnnn0d2djYyMjLw1FNPITExkYVOcmGE\\\n",
       "NqzvLAyJxWKo1WqYTCZIJBK43W7U1NTg4MGDGDJkCHJycqBUKgEgbNmkELRcLhdrHC+Xy6FQKMDz\\\n",
       "PDQaDTuX53mIxWLI5XKkpqaioKAAJSUlrAfhqVOnUFhYyAKZXC5nM4eRAjDHcSxsbt68GeXl5XA4\\\n",
       "HCgtLYXL5QqbATzT2RGO49jy1EOHDuHDDz+EwWBAdnY2mpqasHHjRmzduhVNTU3gOA4VFRWoqKiA\\\n",
       "0WhkS2VbWlrg8Xhw6tQplJSUYOnSpRg9ejRkMtkZjYX8si7nQLh69Wr89a9/BQBUVVUBANLS0igQ\\\n",
       "EkIiokBIyGVu48aNF/T6N910E5qamvD000+jvr4eBQUFWLNmDSsKU1lZGbZUbcSIEfjkk0/w5JNP\\\n",
       "4oknnkB2djaWL1+O/Px8ds6jjz4Kp9OJe++9F1arFaNGjcKaNWtY0DgTp/sgNmLECLz33ntnfN1L\\\n",
       "hU6nC1vaeLZ95CQSCevP5/P5Il5HWFYYHx+P2NhY2Gw2OBwOeDweNDQ0wGq1stYOwsyc3W5nM4LC\\\n",
       "XsYTJ07g1KlTCAQCbAZRWFYaulRVLBZDqVTCYDCw/YdOpxPFxcU4cOAAqwgqlUqh0Wg6FKAJJew5\\\n",
       "rKmpYeHM6/We9QxqezzPw+1248CBA1i/fj14nkdNTQ327duHuro6uN1uAD8XP/L7/fB4PJDJZHA4\\\n",
       "HKxfJM/zOHToEJ544gl89NFHyMzM7LDMM/RnLMy8dnd85Py6XAOhSCRCIBBg1aGFQPjjjz9ezGER\\\n",
       "Qi5hFAgJIaf129/+ttMlops2bepwbN68eZg3b16n1xOJRFiyZAmWLFlyvoZ4xbrrrrvQ2tqKoqIi\\\n",
       "lJWVwWq1snDYnRAgLAHV6/WIi4uDz+dDXV1dxH50MpmMLXmUyWSwWq0IBALw+/1wOBxoaWlhLSgC\\\n",
       "gQDq6+uxZcsWFBYWsiBks9nQ0tKClpYWOJ1OiEQiVlxG6OcXuudQCJZCpdNgMAir1YrKykpkZ2cj\\\n",
       "OjoaWq0WsbGxqKmpYRVTI713nudZERfh+/NJqDp69OhRpKeno7a2FnV1dWHtOnieh8vlglQqhVqt\\\n",
       "ht/vZ/dM2Pt58OBBPPnkk/jHP/6BmJgYVtVVmOkUgndUVBSUSmWXewNP14eQnL3LNRByHAeZTIZA\\\n",
       "IIDf//73eOmlly6p8RFCLj0UCAm5DE2bNg1//vOfcfXVV3d5nt1uxxtvvAGtVosHHnjgFxodOZ/u\\\n",
       "vfdeeDweVFRUYPv27diyZQvKysrgcDjCggbQMQCFhsH+/fsjLy8PtbW1sNlscLvdYedLpVJERUUh\\\n",
       "LS0NSqUSTU1NaGtrYxU03W43SkpKUFtbCwBoa2vD999/j2XLlqGmpoaFsPYfPIVlojU1Nfjpp5+Q\\\n",
       "np4OrVYLnU7HqnAKRVFCl7MKQUoqlSI6OhpZWVlobGyE1+uF0+nsdObvQs+UCa04fD5fWKgV/im8\\\n",
       "J7fbzSqNth+fz+fDypUrERMTg0cffRQxMTEQiURwuVwoLy/HyZMnIZPJMHDgQKSmpkIul1+U90ou\\\n",
       "X8LfRwC4++670a9fPwSDQZSXl1+8QRFCLlkUCAm5DM2bNw/XX389DAYDrr32WgwZMgSJiYlQKpVo\\\n",
       "bW3F8ePHsW3bNqxatQozZszA3//+94s9ZHKWoqOjEQwGodPpYDAYYDKZsHnzZhQVFbHAJgTD0HAo\\\n",
       "EokgFouhUqmQlpaGq6++GllZWdBoNDh06BAsFgt7DbFYDK1Wy4qh1NXVobq6Gk6nk80kut1uHDx4\\\n",
       "EMuWLUNSUhKOHTuGDRs2oLa2ls3aCTMqwmuHBjy73Q673Q6v1wuxWIz8/HzI5XIEAgEYDAZER0fD\\\n",
       "breD4zio1WrWakIIqtnZ2ayXYXV1dYe9gb8kqVSK+Ph4xMXFISkpCbW1tWEzhMJyVYlEErEdhDCL\\\n",
       "+PHHH8Pv92PBggWIiYmB3W5n+wwVCgUSEhIQHx8PmUwW8RrdKSRDzt7lOkPYXm5ublhAJISQ9igQ\\\n",
       "EnIZuuuuu7BgwQIsW7YMn3/+Of7973+jra0NwM8fTPr27YupU6diz5496NOnz0UeLTkXwp45iUQC\\\n",
       "k8mEvn37wuv1QqvVoq6uju1Rc7vd8Hg87HyhAmhUVBQyMjKQmJgIo9EIg8HAKoRyHBfWjiAqKgoW\\\n",
       "iwXl5eWw2WxhPe68Xi9KS0tRV1cX1mheaGgf2u6ifSVP4cvj8WDt2rVwOBy49dZbkZubi2AwiKSk\\\n",
       "JOTn58Pv98PpdMJoNEKlUrHZRZlMhtjYWPTt25cF4NraWng8ngsWCkN7HranUqmQkZGBqKgo1NfX\\\n",
       "49SpU2hqagqbKRSW2qrVaigUCgQCgbBZTSEkr169GjqdDiNGjGDnCVVchQqtkUKfEDxDx0rLR8+v\\\n",
       "KyUQEkLI6VAgJOQypVAosGDBAixYsADAz0v43G43oqOjqXrhFUQo2iMEOJVKhfT0dEgkEqSkpMDj\\\n",
       "8cDpdLLG73a7HX6/HxKJBGq1GvHx8UhOToZarQbwv8IxwnJHiUQCjUYDo9EIl8uFqqoqtLW1sZlB\\\n",
       "4YNuIBCA3W5HW1tbWJuD0HNCP0BH6oEoLLfctm0b/H4/brjhBtbgvk+fPrDb7aitrYVMJmM9/pRK\\\n",
       "JSsoExsbiz59+sDhcMDtdqOpqanTIjPnQrjfQmuPUELY0+l0iI+Px4QJE7BmzRq0tLSwgCa892Aw\\\n",
       "CIVCAZVKhUAg0GGZrlC9tKqqCl6vF9HR0VCr1UhMTIRGo0F8fDzbfymEQuG+C/sthesJS1WFoj/U\\\n",
       "YuLcUSAkhPQUFAgJuUIYDAYYDIaLPQxynn322WdQKpWIjo6GyWSCSqViDdCjoqIAAD6fDxaLBVVV\\\n",
       "VWhsbGQVLvV6PWuULhKJ4HQ60dbWhmAwCKlUylo/GI1GyOVyNDc3s0IyocFFCCHtl6WGEhrSC/vm\\\n",
       "IhWtAX4OLg6HA3v27IFYLMb06dMRHx8PhUIBrVbLWl3U1dVBJBLB4XAgJiYGBoMBUqkUZrMZaWlp\\\n",
       "qKqqijjW7gj98N7+uUKQ1uv18Hq9YUFPGH9dXR0sFguSk5NhMpmQmZmJPXv2hC3LE+6XWq1GXFwc\\\n",
       "e177+yISiaBWq2E2mxEfHw+lUgmZTAa5XM7+PTT0CfdWWCYsLM8NBALw+XzsZ28wGKBQKCionAMK\\\n",
       "hISQnoICISGEXMLefvtt1p7BbDajV69ebLmi8IHf7/fD5XIB+LlNhRAeDQYDq1JZUVGB+vp6HDp0\\\n",
       "CFVVVQgGgyz8mM1mSKVSViwlUnGaSDN+AqFwjclkglgsRktLC5tJjITjOLS1tWHTpk0oKipCTk4O\\\n",
       "5HI56uvrWaAFgMLCQhgMBqSkpCA7OxtpaWlQqVTQ6/VQqVSnbcIO/G9mTah2ajAYkJycDL1ej5aW\\\n",
       "FlRXV8PhcIDjOEilUiQlJWHu3LkYM2YMvF4vnnjiCZSVlYUtga2srMSzzz6L++67DyqVKmy5aHt6\\\n",
       "vR55eXlQq9Ww2+0dluKqVCrExMQgKioKJpOJLRUNrSwq7Elsa2tDY2MjbDYbxGIx9Ho99Ho95HI5\\\n",
       "HA4Hjhw5gvXr18PlcmHmzJmYNm0adDodhZWzdKED4dy5c7F8+fKwY/Hx8airqzvjaxFCyLmgQEgI\\\n",
       "IZcwr9fL/il8ORwOGI1G1rjd6XTC5XKxvn/x8fFsNpHneTZ7WFxcjMrKSjgcDrbk0O12w2q1Qi6X\\\n",
       "n1WhFiGsxsTEIC4ujlUB7apVAvC/apvV1dWwWq1sWWXoPkiRSAS73Q6XywWe56FQKBAXFxe2nLX9\\\n",
       "h3ZhyaTw+kKQk8vlLOzNnDkTcXFxsNls2Lx5M7788ktUVlZCqVRi7NixmDdvHrKzsyGVSuF0OvHY\\\n",
       "Y4+hsbGRhb5AIIBDhw7hrbfeQq9evVBTU8PGE7qMViqVwmg0wmw2w2q1sgDffomtzWaD1WpFfHw8\\\n",
       "VCpV2H0SWlGUlZVh06ZNOHjwIJxOJ6Kjo9G7d2/k5uYiKioKzc3N+Omnn7B//354vV6YTCYMHToU\\\n",
       "KpWK9Y0MBAJwuVxsZplcPM888wwLg7Gxsejduzf27t2LtLS0izswQkiPRIGQEEIuYe33iAn7BZub\\\n",
       "m1njeKE1hEgkglwuh9PphE6ng9FoBMdxqK6uxokTJ1jl0NA9gE6nEzU1NRCLxR32uJ2OEHqioqLY\\\n",
       "vjehKXx335vf70dbWxscDkeHmUihwTbP86iqqoLJZIJcLmcVPGUyGQt/EokEcrmcLb2UyWSsH6Lf\\\n",
       "70dUVBRmzJiBO+64A2lpaWwpZk5ODoYPH47ly5fDYrFg5MiRrNqqRCLB3LlzcezYMfy///f/WDgX\\\n",
       "CuQUFhbC4/HA5/OxfY/CuIUiQDk5OTCbzazcf2h4Fd5faWkpdu/ejUAgEDb7CwAOhwOHDx/GJ598\\\n",
       "gu3bt6O1tZXtJU1MTMSgQYPQp08feDwelJSUwOl0snsi9GT0+/1obm7GDz/8gO+//x7fffddt3/G\\\n",
       "l6qFCxde8PB0IWcIhR6s1DqEEHIpoEBICCGXCaFyqEgkgtVqRWtra4dG7X6/H42NjaiurobZbAbH\\\n",
       "caisrERdXR1cLleHSpeBQABOp5N939kH1M72DWq1WiQnJyM+Pp5VOw0EAmxvW2fLTEOvGwwGWS/C\\\n",
       "UEKw9Pl8sNvtaG5uRnR0NHw+H+RyObRaLcRiMdRqNfr164ecnByMHDkS0dHRcDgcOHjwIH766SfU\\\n",
       "19cjPj4eo0aNQlJSUtjeOq1Wi4KCAigUChw8eBBxcXFsyaZIJIJWq8U999yDlStXorCwMKxwjDCT\\\n",
       "GRsbC5/Ph/r6etZWw2g0Yvz48Rg3bhykUikOHjwYVgRGuD/BYBCVlZVYuXIltm3bBqPRiKioKBgM\\\n",
       "BnAch6qqKhw6dAiVlZVwu93s9YX9oI2NjSgtLUV0dDTa2tqg0WgQFxeH/v37Q6vVIhgMwuFwYM2a\\\n",
       "NXjllVdQUVFx+j9oBMAvs4cwUvVYQgj5pVEgJOQyd/vtt+Ouu+7CmDFjLvZQyAUk7DdLSkqCVCqF\\\n",
       "xWJhTd1DcRwHj8eDhoYGVFVVsWWZwjLRSLqa0RM+FLf/oCqE05SUFAwcOBAmkwnl5eWs8ElotcvQ\\\n",
       "1hOnC4ft+/a1v04wGIRYLIZOp0NcXBw0Gg3Gjx+PefPmITo6GlqtFsDPfRPj4+Mhl8tx8OBBREVF\\\n",
       "ISEhAXK5vMMsnUKhQHp6OlpbW+HxeOD1etlMn1gsRlJSEm655Ra8+OKLcDgcbJxqtRppaWnIy8uD\\\n",
       "3W5HcXExWltbYTQaMWLECFxzzTWIi4tDW1sboqOjO/RplEqlkEgksNlssFgsYT0lQ++JEJjbV2zl\\\n",
       "OA6NjY3wer2Ij4+HwWBATEwM+vfvj/z8fFakJxgMor6+vss/A6SjswmEGzduDDteUFCACRMmdPnc\\\n",
       "lJQUVFVVAQD7JQohhPySKBAScplra2vDpEmTkJaWhjvuuAO33347kpKSLvawyHkkBAi9Xo+srCy4\\\n",
       "3W4UFRV1Gq6Edgbl5eVwuVxobW09q2qcEomEtagIDSsikQgymQyJiYmYOnUqRo0aBYlEAqVSicrK\\\n",
       "SrS2trJAJZfLWQjzeDxh/Qvbv0epVAq5XM5eU1h6qVarkZCQgNTUVMTGxsLv9yMYDCIqKgoFBQWY\\\n",
       "PXs2UlJS2HMAQCaTIT09Hf369UNjY2NYsGxPCHcGgwHNzc2wWCyIiopirTnkcjlmzJiBjRs3Yu/e\\\n",
       "vfD7/VAqlcjMzMRVV12FgQMHQqPRgOM4yGQyREdHw2w2Q6vVslnGvLw86PV62O12cBwHhUIBk8kE\\\n",
       "tVoNm80Gj8fD+ip29+ckzPAKBXz8fj80Gg00Gg2USiULNEqlEn379kVeXh4AsPBBunY2gXDFihVY\\\n",
       "sWJF2GOn+yVI6DVohpAQcjFQICTkMrd8+XI0NTXho48+wgcffIBnnnkGkyZNwl133YXZs2dTT8Ir\\\n",
       "gPAhUSqVQq1Ws6WHXS3vDAQCsNlsrNjMmX7QDG1sL5FIYLVawxqhK5VKpKWlYcCAAcjIyADP82hr\\\n",
       "a0NcXBwaGhrYOTExMUhISIBWq0VbWxsKCwtRVVUVtl9RCH5yuZztfVQqlZBKpax9RlJSEjIyMmA2\\\n",
       "m+F0OtkMWVZWFkwmU4fee0KY1ev1UCqVYcVqOnu/UqkUHo8HVqsVPp8PCoWCzVhGR0djwIABqKys\\\n",
       "hN1uh16vR2pqKhITE2E2m2E0GqFQKKBUKqFSqcJ6PSqVStaiQthjaTAYkJSUxH6ebW1tYT/r7hJm\\\n",
       "EIWw3draiubmZjidTgQCAbafMCkpCQMHDkQgEKBA2E1nEwhnzpyJ8ePHs+MFBQUXYmiEEHJeUSAk\\\n",
       "5AoQExODxYsXY/Hixdi/fz/ee+893HrrrdBqtViwYAF+85vfIDs7+2IPk5wDIeR5vV4W8rri9/vZ\\\n",
       "HsPTndueWCxGdHQ0Zs+ejdGjR8Nut2P9+vU4cOAA7HY7FAoF+vXrh3vvvRejRo2CXq8Hz/MsmBkM\\\n",
       "BrS2tqJXr14YNWoUcnNzodfr2X65r776CqtXr0ZjYyOCwSCUSiWMRiPi4+ORlpaG9PR0xMfHIyoq\\\n",
       "ClqtFnq9HlqtFiqVChzHobW1FbW1tRCLxcjPz4dGo+mw/1Cofiq0wmhtbWV9AOVyeYf3LHygb2ho\\\n",
       "QFtbG2vxIew3NBqNuOmmm2AymVBZWQm9Xo/c3Fz07t0bCQkJrO+f0IsxNEjI5XL07dsXkyZNQjAY\\\n",
       "hFwux5gxY3DVVVdBIpFg27Zt+Oabb1BdXX1GM4QCYZlwS0sLW/KqUChw3XXXITU1FVKpFBkZGbjj\\\n",
       "jjswd+5crF+//oyuT7pv/PjxWLx48cUeBiGEnBEKhIRcQerq6rBu3TqsW7cOEokE06dPx5EjR9C3\\\n",
       "b1+8+OKL+N3vfnexh0jOEs/zcDgcKCwshMvlYvvcOhMMBlkD8+4GDGFpanR0NH7/+99j4cKF0Ov1\\\n",
       "CAQCmDBhAtavX4/jx4+zgilDhgyBXq8PW1o5YcIEpKamoq2tDSkpKUhOToZarWaBLTY2Frm5uZg/\\\n",
       "fz6Ki4vhcrmgUCigUChYM3aDwQCTyQS9Xg+1Wh3Wly8YDCIhIQGJiYkIBAKIjo5mr9+eEArb2tpQ\\\n",
       "WlqKvXv3YuTIkRF7GPI8D5vNhpMnT8JqtcLv92PWrFlIS0tjS18zMzOh0WjQ0tLCloJGR0ezGc2u\\\n",
       "lqSaTCbMnj0biYmJSEpKwuDBgxEdHQ0AGDp0KLKzs/GPf/wDpaWlHQoFdYfQxiMQCKCoqAgffPAB\\\n",
       "iouLceutt2LQoEEwGAwwGAxITU3t9jV7ugtZVCZ0Jn3o0KHYt2/fWV2HEELOBwqEhFzm/H4/vvvu\\\n",
       "O7z33ntYu3Yt+vfvj0WLFuFXv/oV9Ho9AOCbb77BnXfeSYHwMsbzPOtH5/P54PP5ujxfKO5yulAR\\\n",
       "WuhEIpFAp9Nh9uzZuPXWW2E2m1nRlaysLMTExKClpQUSiYQVcAkNQUILivz8fLbPTlh2KRAqcA4Y\\\n",
       "MAB5eXlsjIFAAD6fD36/HyKRCCqVCiqVCjKZLOyDubDPUKlUwu/3h1UM7ey91dfXo6ysDA6HAyNH\\\n",
       "jsSUKVM6zBIGAgGUl5fj6NGjaGpqQm1tLYLBIO6++26o1Wo2poSEBJhMJrZfUK1WdxkGhXHIZDJk\\\n",
       "Z2cjPj4eRqMRGo2GBVmVSoVbb70VeXl5+Oc//4kdO3awfZ/C0ljhqzPCzzm02MzatWvhdrvx5JNP\\\n",
       "spYdFDi670IGwvr6eigUCvh8PuzZs4cdp4IyhJCLgQIhIZe5hIQEcByH+fPn46effoq4Z2X8+PEw\\\n",
       "Go2/+NjIuQsNbMIy0O6Eg9AWB11dWyKRQKPRIDo6GllZWZg8eTKuv/56xMTEhAU5IewJv2TorEiL\\\n",
       "UKAldOyRXlcqlUIqlbLxCv0HQ1tQSKXSDktBhWsqFIrT7o8ViURwu904duwY6urqUFdXhwceeAAv\\\n",
       "vvgiZs+ezcKk0Py9oaEBdrsdbW1taGtrwzvvvIOoqCiMHTsWUVFREIvFbPmtVCqFSqU6bRgMvS96\\\n",
       "vZ7NqLavdKpWqzFy5EgMHjwYVVVVOHLkCKqrq9HS0oLKykrs3r0bpaWlrBdipOsL91L482Gz2bB1\\\n",
       "61Zs3rwZ/fr163AvyeldyAD9/9u78zCp6jNf4N/a96req3pfoVlkRxBBXCBggqLG0cRkiCaOxhkw\\\n",
       "MyFzH5MniSb33sS5WQyjwXiviTomGlwmxrAoIjuyNqssDd0Nve9L7XvVuX/wnF+qqruhQVbr+3me\\\n",
       "fmJXn6o65zSa+vL+fu873O+SiOhKYyAkus795je/wQMPPAC9Xj/sMRkZGThz5swVPCu6VOQB5Ykf\\\n",
       "9M8X9C5kqaFGo0FhYSHmzZuH+fPnY+LEibDb7cOGB6VSKTqIJjaFGcqFVlfk90wMwed7jtytdKhl\\\n",
       "o5IkIRAIwOPxiKDZ0dGBn//85ygsLMT06dOh0WjEPS0tLcWoUaMQiUTg9/sRiUSwc+dO6PV6VFVV\\\n",
       "iQYwsVgMBoMBeXl55/z3LvV8E69vuGP0ej3KysqQl5cn5jp2dXUhJycHr7/+Onp6egZ1ppQ7vEqS\\\n",
       "hFAolPSXAeFwGH19fSM6R0p2JeYQEhFdCxgIia5zS5YsudqnQJfRrFmzEAqF0N/fj+7ubjG24FJI\\\n",
       "3Bs3b948TJ8+HZmZmWJpoRwq5IqjvB9RDl+JVanECp9cAUwMjvLP5ecN9WE7dVah/M/DfdiOx+Pw\\\n",
       "er1iP5/cUTORWq1OCm2xWAynT5/GSy+9hB/+8IdiXIVGo8HEiRMBAPv27cOpU6fg8Xjg8/lw9OhR\\\n",
       "MfQ9EokgEonAZrNhzJgx0Ol0YrzESO/5+X6u0WhgsVhgNBoRjUZhNpsxffp0rF69Gn19fSIEy5XS\\\n",
       "iooKVFVVoaenBydOnBB/RuTXys7OTrovn4fRBi+//DLa29sv63swEBJRumAgJCK6hr300ksIhUI4\\\n",
       "ffo0Vq1ahQ8//FCMKLgU5KWgdrsdFoslqYELcDZ0yVWqnp4e6PV65Ofni6WPkiQhGAxiYGAAXV1d\\\n",
       "CIVCsNvtKCgoELPwotEo+vv70dvbC6PRiNzcXBiNxqSB8/F4HNFoFJFIBPF4XIyhGK5SKe+pPHDg\\\n",
       "APr7+zFhwgTk5OQkzQ8EznbgnT59OlpbWxEMBgGc3Xd79OhRHDx4EDabDVarFRqNRnQLHTduHJqb\\\n",
       "m9HY2IiOjg4AQF9fH/r6+hAOh+H3+6FWq+Hz+aBSqVBRUSE6nQ4XDBKD7khCoVKpFF9GoxE5OTmw\\\n",
       "2WwiaAOA2WzGPffcg29/+9vIy8tDU1MT/u///b/YtGkTfD4flEolKisrcfPNNw/beIeGx0BIROmC\\\n",
       "gZCI6BpWVVUFSZJQVVWF4uJitLS0YM+ePRc8SmIocvBIDSCyeDwOj8eDjRs34tVXX0VzczMKCwvx\\\n",
       "yCOP4I477oDZbEY4HEZtbS3efPNN7N69G+FwGKNHj8bXvvY1TJkyBSqVCmfOnMG6detw8uRJFBYW\\\n",
       "4otf/CKmTJkCm80GlUqFWCwGv9+PgYEBuN1uKJVK2Gw25OTkiDEOqSRJQmdnJ95++23U19dj6tSp\\\n",
       "mDp1KhYsWICMjAwRNrOysvD444+joaEBR48eRSQSgVqtRjQaRUdHB3w+H8xmM7RarWhYY7FY4HA4\\\n",
       "MHbsWDQ3N2NgYABerxc+nw8ulwvRaBQejwfHjx/HwMAARo8ejdGjR4t5i6mjJ+SwK88FTA3dw/1u\\\n",
       "AIjfiUajEc1oQqEQsrKy8M///M947LHHkJGRAYVCgeLiYhQXF+PNN9/Erl27YLVa8dBDD2HChAkM\\\n",
       "hERENCwGQiKia5gcHPR6PUaPHo0FCxbgwIEDnzkQyoFFqVQiEokgGAwOWkoYi8Vw+PBh/OQnP8Gp\\\n",
       "U6cQi8VQV1eHWCyGCRMmwGAwIBwOY+/evfjLX/6C7u5uxONx1NfXo6GhAYsXL0ZeXh5qamqwa9cu\\\n",
       "DAwMwGq1wul0wuv1Yvz48TCZTPD7/Th9+jQOHTqEzs5OmM1mTJw4EXPmzIHBYBgyPMnnIj9H7lI6\\\n",
       "Y8YM2Gw2cY1arRbTpk3Dd77zHTz33HNoamoS3VTlUQ2JS1nlZjZarRYmkwkZGRkIBALw+/1wu93o\\\n",
       "6elBW1sbWlpa0Nraih07dmDNmjWIRqPIyMjADTfcgFtvvRU33HCDCLzhcBgejwd+v1808DEYDCNq\\\n",
       "RpP4eyopKYHH40FmZiaWLFmCRYsWJS1XValUqKqqwve+9z309fWJ6u9w95DOjRVCIkoXDIRERNcB\\\n",
       "eb/Y+PHjodFoEAgELslrxmIx9Pf3w+12D9qbGAgEsGrVKtTV1YkxF/F4XOypkz8wnzlzBn19fYhE\\\n",
       "IpAkCT6fD7W1taKy2dHRAZfLhUAggFgshqNHj0Kv16Ovr0+Msti7dy8OHjyI/v5+6HQ6nD59GiUl\\\n",
       "JbDb7UOeezQaRVtbG3w+HyRJSur6mbh0U+7geeutt6K+vh5r166F3+8XVcRoNJrUqCex8YtczTOZ\\\n",
       "TIjFYsjNzYXdbkdOTg4MBgP6+vrQ2tqKxsZG+P1+xGIxfPzxx3jxxReRlZWF0aNHY8yYMbDb7VCp\\\n",
       "VFCpVMjKykJFRQXKy8uRl5c3omAYj8eh0+kwc+ZMzJo1C1OnTkV1dbVYkptIDrsmkwmSJJ1zGSud\\\n",
       "GwMhEaULBkIiouuAvAdNp9OJcQ2flTxuoampCWfOnMGsWbOSftbd3Y1NmzYlzTyU9+7JIUyr1Yr5\\\n",
       "gYnNYEKhEAYGBhCLxWC1WmE2m8WMQb/fj9bWVlgsFvj9fvT19eHMmTNob2+Hx+MRH65PnTqFKVOm\\\n",
       "DJoZKL++z+eD0WiEWq3GDTfcIAawDzWqIjMzE3PnzkV7ezuampqQnZ0NjUaDSCQyKBSmdjlVqVRQ\\\n",
       "q9XQaDTQarXQaDSIRqM4duwYvF6v6EgqPz8ajSIQCKCzsxP79u1DTk4OCgoKkJWVBZPJhN27dyM3\\\n",
       "Nxfjx4/HzJkzUVJSMmS4k681FovBZDJh5syZYo7hcEtp5fOXu8HKr5FY/WW1cGQYCIkoXTAQEhFd\\\n",
       "wxI/1EejUTidzkvSJVIOGsFgEC0tLdi0aRMWLFggmsVEo1Hs2bMH7e3tg94vHo+LSpxGo4HBYBjy\\\n",
       "nEwmE8aNGweTyQSLxYLa2lr4/X4YDAao1WrodDpYrVYxrF6lUokqpRwU5aCV+IE7FovB4/EAAIqL\\\n",
       "i2Gz2fCFL3wBY8aMGTJYyUtHy8vLceONN8JgMIglofJ9jcViokvpcLMTlUoltFotzGYzsrKyoNfr\\\n",
       "EQwGh5z5KL+ufB16vR4GgwHxeBw9PT2oq6vD4cOHcerUKTzwwAOiY2mqWCyGcDgMg8EgGuCc7y8E\\\n",
       "5CY9kUhEdCRN7AKbmZl5zufTWQyERJQuGAiJiK5h8gd6OQS1tbVdsrETwN+rhLt27cLGjRuRm5sL\\\n",
       "g8GAzs5OvP7660MuTZXHGcgfmA0Gw6BjVCoVqqurMX/+fNhsNlRWVmLLli04ffo0JElCcXGxaMYi\\\n",
       "d9L0er04duwYIpEI7HY78vLyRJCRq1rxeBzBYBC9vb1Qq9UYN24cqqurMWHChEEdRlPP2Waz4YYb\\\n",
       "boBWq0UsFoPdbodOpxMjNRLD4FDBUO6IKv/M7/cjFAqdM6DL1Tm9Xo+CggJYLBb09/ejq6sLXq8X\\\n",
       "p06dwvHjx1FSUjKo2Yy8x9HtdosZhedrDhOPx8XswebmZvT09CAUColusX6/H//yL/9yztegsxgI\\\n",
       "iShdMBASEV3D5Nl/kUgEXq83ae/epZonJ0kSPB4P9uzZg9tuuw1ZWVk4ceIE6uvrhw2fie891DEq\\\n",
       "lQolJSUoKCiA2WwWQ+GDwSBCoRByc3ORl5eHrKwsaLVajB07FlOmTIHX64XX60VVVRUcDkfSHEO5\\\n",
       "6ubz+eDxeKBWq2G321FYWCg6hQ5Hno1os9mQn58vZgnKz0kMhYnLLYcSj8cRCoXgcrlEYD8XOfDm\\\n",
       "5uYiJycHRqNRdHDV6/WicjfU+8gNaRJnKQ5HDpDd3d04dOgQDh06hI6ODoRCIbGMNRAIMBASEVES\\\n",
       "BkIiomtYXV2dCCBtbW3o6OhImt93KcizBNetW4dYLIaSkhKsX78era2tQ76HHGbkcQq9vb2DjtHr\\\n",
       "9bjllltQUFAAtVoNk8kEtVqNjIwM9PX1obi4GBUVFbDb7dBqtcjKyoLD4cCcOXPgdrtRWlqKyspK\\\n",
       "aLVaEQRDoZDYb9jc3Ay9Xo/S0lKMHj06adzDcNRqdVIgkyt9ciCWm7eYzWZRjUudHSjPVDxy5AiO\\\n",
       "Hz+OSCQy7PvJy0zl4fDV1dUoLy9HLBZDZ2cnent7YTAYUFpamjRfUP6dRCIRtLW14ciRI8jLy4PD\\\n",
       "4RiyGgucna3Y2tqK1atX48MPP0RDQwM8Hg/C4TBisZgInZeyuvx5xwohEaULBkIiomvYs88+C5VK\\\n",
       "Bb1eD7VajYGBAVgsFvFh/1KJx+MYGBjA2rVrodFo4Ha7hx1tIUmSGELvdrtFR1GZ3Nlz9OjR0Ol0\\\n",
       "UCqVUKlUIvj09fXBarUiOztbXJdWq4Ver4fdbockSdBoNGJZqrys9cyZM6ipqUFjYyM0Gg3GjRuH\\\n",
       "srIyZGVlieWWqR/M5cqiHITkTqTyNQeDQfT396OxsRFnzpxBOBxGfn4+ysrKkJ2dnTRTMBqNoqen\\\n",
       "Bzt37sT69evR0NAASZLEMs7U8CwHQpVKJUJvYWEh9Ho9ysvLEQwGRefRxL2P8v7O/v5+bNq0CZ98\\\n",
       "8gmKiopQVFQkgm+iYDCIzZs346c//Slqa2sRDAaTmuQkVlhp5BgIiShdMBASEV3D1q5dC6VSCYPB\\\n",
       "gLy8PNjtdhQXFyMQCKCvr++SDKiXxeNxeL1eMY5iuAChUCjQ09ODgYEBnDp1SgSjRCaTCVlZWUmD\\\n",
       "741GIwoKCkTjGrkKJ++bk6tp8nvI1btYLIa+vj6sX78emzZtgt/vx5gxYzBnzhzk5OSI0JkYqOQQ\\\n",
       "KFfG5PNTq9Xi/WKxGEKhENrb2/HXv/4Vu3btgtPphF6vR1lZGaZPn44pU6ZAo9HA6/Xi9OnT2Lt3\\\n",
       "L44fPw6n0ykGzdtsNlHhC4fDYomm3AwnFovB6/UiFouJ5jDyslR5P6Yc8uTz9ng8+Pjjj/Hmm2+i\\\n",
       "paUFNpsNubm5KCgoQGZmprjWcDiMLVu2YNmyZWhubh52CSvD4IVjICSidMFASER0DfN6vQAAn8+H\\\n",
       "aDQKu92OadOmISMjAzt27LhkXUeBv4eRc40lUCgUMJlMUCqV6Orqwvbt2wedgzzmIXFPnxwK5bl7\\\n",
       "cmUt8T0TZwcmisViaGhowEcffYTa2lqo1WoUFhYiLy8PRqNxUGVQHkvhcrlEcDObzcjIyBDHA3+v\\\n",
       "ENbU1GDDhg1oa2tDNBqFQqFAZ2cnBgYGkJ+fD4PBgLq6Omzbtg2nTp2Cz+dDPB6HVqtFbm4uZs6c\\\n",
       "idmzZyMzMxMtLS3YsmULjhw5ApfLJZbVDgwMwOVyAYAIgKnXK4dfn8+HTZs2YcWKFTh16hQikQic\\\n",
       "TifeffddTJ8+HbNnz4ZWq0U8Hsfp06fx05/+FM3NzUl/OZD42gyDF4eBkIjSBQMhEdE1TF7qKA98\\\n",
       "V6lUuPHGGzFlyhQx0H24fWxyIxV5SaM8XuFclT+lUgm1Wi0qXKnHajQaTJ48GRUVFYhEImhoaBhU\\\n",
       "pVQqlcjPzxfnnRhK5CqgHATlRi5y5S5xMLz8/HA4jJMnT6KpqUk0WNHpdMjKyho01F0+vrGxERs3\\\n",
       "bsTx48fFUPfZs2cn7cGLx+Po7e3F9u3b0dnZiXA4LM43HA5Do9Fg0qRJMBgMiEaj2L59OyKRiAiw\\\n",
       "JpMJs2fPxtKlS1FdXQ2tVgufz4fRo0djxYoV+PTTTxEKhUSFUK7oykPv5fOV74McHDdv3owVK1ag\\\n",
       "trZWjN2IxWKor6/Hn/70J+Tl5aGoqAherxerVq1CbW3toMqg/B7yktvE8RM0MgyERJQuGAiJiK4D\\\n",
       "cmMVACgvL4fNZkNDQwOOHDkyZCBUqVTIzc3FbbfdhokTJyIcDuPIkSOoqalBd3f3kOMS5Hl9JpNJ\\\n",
       "jChIPEalUqGqqgrLli3DmDFj4Ha7k/buySMZTCYTysvLEQgEYDabB41KUCqVYjmnvN/NYDCIsDZU\\\n",
       "hdDj8SAWi4kllnLlLlUsFkNPTw/++7//G3/5y1/Q3d0No9EIp9OJsrIyZGZmiuWafr8fhw8fRm1t\\\n",
       "rQiDMpPJhAcffBDTpk2DUqmEw+GAx+OBx+NBV1cXDAYDbrzxRnzrW9/CDTfcAIPBIM5t7NixKC0t\\\n",
       "xcmTJ8U+z3A4jK6uLjidTuTk5Ih7Eg6H4XQ60dLSgmPHjmHr1q3YsWMHOjs7k4bdy5XDDRs2wGg0\\\n",
       "Yt68efB6vdi7d6+4L4n3V56XqNPpEIlE4Pf7EQ6H2VSGiIgGYSAkIrpOyBUkvV6PnJwczJ07F2++\\\n",
       "+aZYwihTKpWorKzEq6++iqlTp4qlm/F4HD6fD/v27cMTTzyB1tbWpNChVqthtVphMpkQiUQGhYyi\\\n",
       "oiL8+te/xty5c6FWq2E0GnHrrbdi9+7daGtrgyRJyMrKwi233IIbb7wRTU1NOHXqFNxuN4xGIyor\\\n",
       "K5GbmwudTieWdba0tKC7uxv5+fmoqKiA0WgcFAjVajUqKytRVVWFtrY25OfnY9y4cYjFYqLiKVfR\\\n",
       "2tra8PLLL+PNN99Ed3c3YrEYNBoNdu7ciVGjRomh8h6PBzt27MBrr72G7u7upPmCdrsdzz//PO6+\\\n",
       "+25x7woLC/Hkk0/iq1/9Krq6uqDVamG322Gz2UTzG/kcent70d/fL+6bQqGA1+vF7t27oVKpMGfO\\\n",
       "HDgcDvT39+Pjjz/GBx98gNbWVhGOhwtt0WhUzIfctm0bJk2ahOLiYtx2221oa2uDx+OBQqGA2WxG\\\n",
       "fn4+ioqKYDKZEAqF0N/fj/7+fvh8vkv3B/JzjhVCIkoXDIRERNcJSZLQ19cHp9MJh8MBtVoNs9k8\\\n",
       "ZICaPn06qqurodPpkoatW61W3HLLLXj22WexYsUKHDt2DIFAAAqFAjqdDhqNBqFQSAwzTyQHUbkR\\\n",
       "jFqtRmlpKaZMmQKDwQCz2YyZM2fi1ltvRW5uLjo7O7FhwwYcPHgQKpUK8+fPx4MPPojCwkKoVCpE\\\n",
       "o1G4XC40NTUhGo0OW/VTqVRwOBwYO3Ys9Ho98vLyAAB9fX3iPAKBANxuN9avX48PPvgAvb29onIa\\\n",
       "i8UQCARw8uRJ7N27F2azGbW1tdiyZQvq6+tFcxh57+PSpUuxcOHCQXsgtVotHA6HeP/EJa6xWAzB\\\n",
       "YBBHjhzBypUrceDAAXi9XsTjcREI6+vrRZdSg8GArq4uNDc3w+/3j2ieIQAxYL6jowNTp07F3Xff\\\n",
       "jZKSEgCA2+1Gb28vXC4XvF4vAoEAfD4fvF4vcnJykJ2dLZr20PkxEBJRumAgJCK6jrjdbjQ0NMDh\\\n",
       "cMDlcolwJo8ZkINdRUUFdDrdoOfLwebOO+9EZmYm/t//+38ivMijHjwej9hDKJMkCf39/aitrcWo\\\n",
       "UaPEUkSFQoHS0lKYTCaMHTsWc+fORUFBAaLRKDo6OnD06FGcOHFCzCvMycnB4sWLYbVaAQBarRZq\\\n",
       "tRqRSGTQe8rkUGU2m2E2mxGLxVBXV4dwOIysrCwoFAp0d3ejs7MTmzZtQktLi6h8Jn6o7+jowLZt\\\n",
       "2+DxeFBfX4/Ozk74/X4AgE6nQ2ZmJu699148/PDDMBqNQ95/lUqVtARWnhfY1dWFP//5z3jllVfQ\\\n",
       "0tKStARVoVAgEokgEAjA5XKhtbUVAJIqnBdCXj5cXl6OmTNnIiMjQ/wZkJeg1tXVoaamBs3NzXC5\\\n",
       "XNDpdHA4HCgsLLyg90pnDIRElC4YCImIrhOSJCEQCODEiRMoKytDV1eXqJDJFSZ5nMNwA8yBv3cK\\\n",
       "nTlzJpRKJf785z/jyJEjCIVCCIfDcLvdg0KKJElwOp14/fXXUVpaitLSUjidTtTW1qK3t1fMHSwu\\\n",
       "LobFYkE0GkVubi7i8ThCoZAYsv7RRx9h2rRpMBqNouKmVCqh0+lENTOxEY08CqOhoQENDQ1oampC\\\n",
       "KBTCp59+CpVKBbVaDY1Gg2g0imAwiK6uLgSDwaQwJo90kJdy9vf3w+l0iiqoWq2GzWbDrFmz8NBD\\\n",
       "DyEnJ2dQoxq5WiqHhMQloo2NjfjRj36EDz74AIFA4JLt00sMJKkNftRqNSZNmoSMjAxR9ZPvh0ql\\\n",
       "EtdYX18Pv9+PnJwclJSUwOFwXJJzSwcMhESULhgIiYiuI9FoFA0NDThz5gwGBgag1Wqh1WpFdU2l\\\n",
       "UkGj0SAcDg/bfRSAGAFRXV2NadOmYWBgAH19ffD5fPB4PEOOnohGo9izZw9+9atf4eabb4bL5cK+\\\n",
       "ffvQ1dWFwsJC3HLLLWLZqUajQXl5OaZNm4YTJ06IpjCtra3o6OhAZWUljEYj7HY7srOzRShMDUB+\\\n",
       "vx+HDh3C+++/j4MHD8LlcolOn/K+P3mwvTw8PrGjqRzcAoEAurq6xNLOcDgsmrEolUpkZGRg4sSJ\\\n",
       "YjmrfA7RaBQejwderxcGgwEWiyVpT6bT6cSKFSuwZs0aBIPBS/Z7liu9OTk5AID+/n4RdJVKJWw2\\\n",
       "G0aPHj2oYY/c2MZqtcLv96Ovrw/hcBhWqxUWi0W8Ho0Mgx4RpQMGQiKi64Q8QqCtrQ2nT58WewhN\\\n",
       "JpMYWyDvhZMrYOcid6PU6/UixNlsNjHDLxqNJlW75NEXW7duxaeffirCUiwWg9vtRlNTU9JIhezs\\\n",
       "bDz88MNoa2vDrl27xDxAObRotdqk4JlalfP7/aipqcFvf/tb7NmzR7xXYrVMDnTRaBRqtVpUyBKb\\\n",
       "s0QikaROnHLFT65Eyo9Fo1ExVB44G/iOHj2K999/Hy0tLRgzZgy+9KUvoby8HBqNBpFIBPv27cPf\\\n",
       "/va3897rC6VWq1FdXY2vfvWrMBqNWLt2Lfbs2QO/3w+VSoVRo0bBbrcPGViUSiUsFgssFouoYqrV\\\n",
       "aphMpmGXwhIRUfpiICQiuo7Is/MaGhqQk5MDrVYLo9EoRkTIVbL29na43W7k5eUNW+WQJAlerxdN\\\n",
       "TU3o7e1FOByGxWJBbm4uXC4XwuHwoHEM8hLOQCAgvgcAp9OJ3t5eUZWT9yqOGzcOP/vZz/DXv/4V\\\n",
       "R44cQXFxMUpKSqDT6QbNEEw8r0AggK1bt+JnP/sZjhw5IjpwDrWUNTH86XQ6qNVq8Vjic+TwKH8l\\\n",
       "jnRwuVw4dOgQxo4dC4VCAb1ej87OTjz11FNitEdWVhYaGxvx8MMPo6SkBF6vFxs3boTL5bro+X6J\\\n",
       "gTTxMa1Wi8mTJ+OOO+5ARkYG8vPzEY1GcezYMRgMBixYsAAWi2XI+6dQKGAwGFBRUSH2XKpUKhEO\\\n",
       "aWS4ZJSI0gUDIRHRNSzxg6a8/NHlcqGhoUEsC5WHugNnw43f78eJEydw6NAhlJaWDtlcBjg7A6+u\\\n",
       "rg4HDhxAW1sb1Go1DAYDcnNzAfw9fKbOr0sNZvIH58zMTDGCQX5cq9WivLwc3/zmN9HY2Ih4PI7i\\\n",
       "4uKk41LFYjEcP34cTz/9NI4dOzYolA5FHoORm5uLQCAg9kMmnqscVuUwKjeyiUajcDqd2LdvH1wu\\\n",
       "FyZMmACFQoHDhw9jz549ovoXCoWwYcMGZGdn4wtf+AIkSUIwGEwaO5F4T+RK6VCNYxKXukqSJJaw\\\n",
       "yqFernoqFAoYjUZUV1dj0aJFsFqtyM3Nxfz588/ZMVStVqO4uBh5eXmi+Y/f74fL5TrnfaS/YyAk\\\n",
       "onTBQEhEdA2Tg17irD2/34+2tjYAZ0dBxGIxxONx0bVSbnSycuVKjBs3DmPHjh2010ySJHg8Hmzb\\\n",
       "tg0nTpyA0+mETqeD1WpFcXEx8vPzkZWVhePHj6O9vR1+vz9pf17iB2C1Wo3s7GyMHz9eNHBJpFKp\\\n",
       "kJGRgVGjRiEajcJkMg25R1EWDoexatWqIQfGD3ePsrKyUFhYiOrqarS1tcHtdosOojKFQgGr1YrK\\\n",
       "ykoolUo0Nzejv78f0WgUsVgM3d3dcLlc+PTTT8WS1cQGNdFoFF6vFz09PYhGo8jMzMRNN92EgwcP\\\n",
       "iqY8kiRBrVbDYrEgIyMD4XAYvb29osIphz2r1YqqqiqUlJTA5XLh1KlT6OnpEYPs4/E46uvrRUUQ\\\n",
       "AKqqqqBQKFBcXIyioqJz3kM5WGo0GiiVSsRiMVHFpZFhICSidMFASER0jZPDoBxMIpEIXC6X2CsW\\\n",
       "CAREtUuu5MkNYJYuXYpXX30VZWVlSQFCHuK+e/duUQWMxWLw+XzQ6/UYPXo0qqqqYLfbUVNTg6am\\\n",
       "JrGHT65+yXv2rFYrbr31VlRVVQ15/vIHa7mSdr4gMzAwgD179oimOIlLPeVQnBhMjUYjpk6diqlT\\\n",
       "p2LcuHGora1FZ2cnXC6XWCIpd1a97777sHjxYvT29uLVV1+F0+kUVcRYLIZoNCqWw6buVVSr1cjL\\\n",
       "y8PUqVNRWVkJm80Gh8MBh8OB999/H8eOHYMkSSguLsaYMWOQnZ2NxsZGfPzxx6ivr0cwGIRSqUR2\\\n",
       "djbmzJmD+fPnIzs7G83Nzfjwww+xb98+Ee6j0Siam5uxdu1axGIxZGdnw+v1wmg0wmazDQr4qffQ\\\n",
       "7XajpqYGLS0tcLvdUKlU6OrqQmZm5oj+zBEDIRGlDwZCIqJrWOryTDmkhMNhDAwMiKHm8giFxGND\\\n",
       "oRB27tyJhx56CK+//jqqqqpEkIhEIjhx4gSam5tF9UoeFq/T6ZCXlweTyQSdTge/349wOCy6gGZm\\\n",
       "ZqKkpAQFBQWw2WzIyMjAhAkTYLVah2zWEo/HEQwG4XQ6EQ6HkZGRAYvFMmQ1UT6v/v5+qNXqpG6b\\\n",
       "OTk58Pl8aG9vh8/nE+ecn5+PBQsWYMKECSgsLERBQQFOnz4t5hECZ+cdLliwAD/84Q+Rk5MDt9uN\\\n",
       "w4cP48CBA0nBT/5neXmpvM9Rnu34T//0T1i0aBFyc3OhUqlgsVgwd+5cTJs2DT6fT1QIlUolQqEQ\\\n",
       "WlpaYDQasX37dvT09CAjIwMzZszAbbfdhuLiYtHIJjHkyQ1unE4n9uzZA7fbjYKCAnFe/f39KCgo\\\n",
       "gNFoHLT0NhaLoa+vD6+99hpeeeUVdHZ2imqnTqeDyWS6xH9CP78YCIkoXTAQEhFdw4ZbLikPIZcD\\\n",
       "z1ANV4CzlcKamhrcddddeP755zFnzhzodDp0d3eLgfSpVTCj0Qiz2QyLxYLs7Gzk5eUhLy8PRqMR\\\n",
       "+fn5mDVrFmbMmAGHw5E0A1GhUIhwmTgovbe3F4cPH8bu3bvhcrlQXV2N+fPno7y8HHq9XlT+IpEI\\\n",
       "zpw5g3fffRfBYBAWiwWZmZmimuZwONDW1oZ3330XO3fuhNfrhVarRWFhIUpLS5Gbmwur1QqVSoWb\\\n",
       "broJn3zyiRgFUV5ejh/+8IdiqaVarcaECROGrFbK1UyLxQK73S6qgnfddRcmTZoEi8UiAiNwdkms\\\n",
       "VqtFRkaG+J3J8xcVCgVuueUWOBwO+Hw+5OXlobKyEnl5eVCr1XC5XAgGgxgYGEAoFBIVQuDs0tme\\\n",
       "nh4EAgEcP35cvO62bdtw6NAhPProo5g6daroHOrxeFBTU4MXXngBu3fvFqFZoVAM2k9J58dASETp\\\n",
       "goGQiOg6JX/YP9+H/Hg8joaGBjz00ENYsGAB7r77bnR3d6OmpkY0HJHnAGZkZCAjIwMGg0GMojAa\\\n",
       "jcjIyIDVasWkSZMwZ84cVFRUiCASiUTg8/ngdrvFYHiPx4OWlhYcPHgQe/fuRWNjI7xerxiB8J//\\\n",
       "+Z+YOXMm5s2bh/LyckQiERw5cgQffPAB6urqEA6HkZeXh/vuuw9f/epXUVBQAKVSiZKSEvT09KC+\\\n",
       "vh7hcFh0FPV6vWKfo0KhQE5ODoqKiuByuaDX6/Hoo4+iurpaVOHkpisGgyEpFCuVShiNRtx0001Y\\\n",
       "smQJ5syZA4vFAqPReM7OqKlD5BPDdWFhIaxWK5RKJUwmE8xms2hqEwwG0draitbW1kGdVOVA7XK5\\\n",
       "4Ha7RSAEgNbWVmzevBkVFRUoLCxEKBRCY2MjWlpa4PP5BnUTjcfj6OvrE7/v690jjzyC0tLSq30a\\\n",
       "RESfCwyERETXsZFWfOTupO+99x42bNiAjIwMBINBRCIRsR/QYrHA4XAgJycHBoMBOp0OBoMBVqsV\\\n",
       "WVlZUKlUKCwsRGZmpghHckjp7+/H/v37sXv3bhw/fhwtLS3o7+8X+xsTl2UCgM/nQ2trK95//30x\\\n",
       "6F3eBylJEjQaDdRqNaZOnSqWR8bjcdEkRR4pEYlE0Nvbi08//VTMG5THbqhUKmRnZ6OyshLz588X\\\n",
       "7yPfD7PZjPz8fDHsXqVSIScnB9/61rfwxBNPiCrehQaoxJAuh0C9Xi+6ispNXkKhELq7u1FbW4ue\\\n",
       "nh5xn1J/t3K4S7yHsVgMPT096O3tTQqiw/15kCuw7DI6cqwQElG6YCAkIroOpQ5xH6loNAqXywWv\\\n",
       "1ysatcjNYfR6vRh0bzQaRQfToqIiBINBsX9QHvweiUQQDofR1NSEtWvXYvXq1aivr4fX6x0yBCaS\\\n",
       "m7jIwWionzudTvEzOdD09vbi+PHjGBgYQDgchkKhQF9fH/bu3Yu2tjacPHkSbrcbx48fR1NTE2Kx\\\n",
       "mNj7GIvFxPLUYDAIr9eLMWPGiGW348aNw2OPPYabb74ZRqPxoj/kJ85GlMOtHKDl9w+FQnA6nTh1\\\n",
       "6hTq6urE/sOhXmuof0587EL+UoBzCEeOgZCI0gUDIRHRdUapVEKr1UKj0SAajYrK2IUEA3lppVyt\\\n",
       "As4Ol29ubkZ3dzdGjRoFnU6H7Oxs0c00FAohOzsbABAIBBAOh1FfX4+33noL69evR1dXlxi98Fn3\\\n",
       "qslVx40bN6KiogI5OTno7u7GRx99hK1bt8LpdIrlj263G0eOHMHJkyehUqng9/vh8/kQjUahUqlw\\\n",
       "+PBhrFu3DlqtFpmZmXC73Th27BgOHDiAjIwMLF68GJMnT8bMmTPhcDig1Wo/0wd8ealnMBgUIVSj\\\n",
       "0YjlquFwGH6/Hy0tLTh8+DDa29sHVQdTXcj9TD33xCY/NHIMhESULhgIiYiuI3Jny+LiYmRlZcHp\\\n",
       "dKKrqwter1cst5RnEp4vmMkVI7maFQ6HcfDgQeh0OjgcDmRkZMBsNsNgMCArKysp7PX19aG2thZv\\\n",
       "v/02tmzZIub5XcqmJYFAAKtXr0ZLSwtyc3PR2tqKuro69Pf3JwWoYDAoqoXy9Sc2ymlqasKKFSvw\\\n",
       "7rvvQqPRiO6sOp0Oo0aNwpQpU3DjjTfCbrd/5jAYjUbh8XjQ3d2NUCgEs9kMm80mOo/GYjGEw2F0\\\n",
       "dHRg//79OHbsGNxut9gPOpyR7BWV94HKvzO5EhoMBsXvRqFQiLEadG4MhESULhgIiYiuE/IH/sLC\\\n",
       "QkydOhW5ubnwer1ob29PGrDudrvR3d0Nj8eDaDR63tdNXL7Z39+P7du3w2q1orS0FBkZGdBqtTCb\\\n",
       "zYhGowiHw3C73WhtbcW6deuwbdu2yxIGgb83QtmyZQsUCoUIrnJjlcTzT30s8Wdyt055KLscjFQq\\\n",
       "FQKBAKZMmQLg76FrqOW4I/nAL+/r+/jjj3H48GFYrVbMmDEDEyZMgE6nA3A2MPb09GDnzp3YvHkz\\\n",
       "GhsbEQwGk/YcDvX+qf+bSqvVorq6Gl//+tcxa9YsWK1W+P1+dHR04NSpU6itrUVbWxu8Xi/27Nlz\\\n",
       "3mshBkIiSh8MhERE1wm5c6UcZAKBAIxGI8aMGQOz2YysrCyo1Wo0NjZi06ZNOHbs2AUtJQUgAuWm\\\n",
       "TZswb948VFVViVl3cqOXYDAo9vK53e6ksROJX3Kl7rMExaEC4MVIPQ85RPb29mLjxo2YO3cuMjMz\\\n",
       "RcMaOSRHIhGo1Wqx5HO4D/7yrL+//vWveOmll9DV1QWj0Yjjx4/jm9/8JiZNmgS9Xg+Xy4W9e/fi\\\n",
       "/fffx/Hjx8UcSTmIKpVKsdcwsdKZui8xMajq9Xrccsst+MUvfoHq6mpoNBrxnGg0innz5sHlcqGr\\\n",
       "qws9PT246667PvP9JCKizw8GQiKi64Rc7Wpvb4fX64XNZoPD4cDYsWNRVVWFqqoq6HQ65Ofno6Gh\\\n",
       "AadOnRrRUsNU8v69ffv24d57700KeXLzGY1GkxRi5KHpOp0OVqsVWq0WHo8HHo/nvPvjrqZIJIIT\\\n",
       "J07g9ddfh9FoRHl5OeLxOLq7u9Hc3AylUomqqioUFxeLcRFDhUJJktDT04PVq1ejoaEBoVAIfX19\\\n",
       "6O/vh8fjwWOPPYbKykq0t7dj/fr1OHHihBjDIZPvsVwllN9HvucGgwHA35fIAoDRaMTs2bPx9NNP\\\n",
       "Y+zYsVCrk/9vXZ6RaDabYbfbRQMdOj9WCIkoXTAQEhFdJ+RA6HQ64Xa70dnZiY6ODkiShKlTpyIz\\\n",
       "MxNGoxGhUAgWi2XY6pz8Qfdc1btoNIqTJ08iEAjAarWKD7xypTA/Px/l5eVobW2F2+2GQqGAzWbD\\\n",
       "qFGjMG7cOOh0Ohw7dgwHDx5EX1/fBS0pTRyjcLlJkgSfz4f169ejv78fo0ePRl9fH06dOoWBgQGU\\\n",
       "lZXh/vvvx5133gmtVivGRqTOHYzH4wgEAmKEhVz1c7vd2Lp1K0KhEL70pS/B7/ejvr4+qTKYeM0A\\\n",
       "kpbGyhXDyspKfPnLX8aMGTNgNpsRDAbh8/mg0+lQUVEBh8MxKAzKr5tYeUwcvUHnxkBIROmCgZCI\\\n",
       "6DohBzh5CaU89uHQoUMYM2YMxo8fD4PBAJVKJRqJpJL3zun1erEncKglmZIkoa2tDY2NjcjKyhLL\\\n",
       "EOVjMzMzMWPGDAQCAXR1dcFkMqG6ulrMDQwEAtBqtWJQvd/vF41TEpu/pDaAkTtyytd3JcYkxONx\\\n",
       "OJ1ObNu2Dbt370YkEhFVTZfLhYqKCsyaNQsZGRlJ56pSqUTFMB6Pw2g0oqysDAcPHhSVOHkp6f79\\\n",
       "+2EwGFBYWDhs18/EamtiU6B4PI6xY8fiK1/5CgoKCkS3Uvn1gbN7D8/nQgIOMRASUfpgICQiuoap\\\n",
       "1WoRDIbaBxeNRtHb24vVq1ejoKAAM2bMQFNTE06ePIlwODxklU0eQh8KhYbtRipJErq7u/H6669D\\\n",
       "oVCguLgYOp1OzNCLRCIoLi7GrFmz4PP5kJOTg8rKShQUFECn02FgYAB2u10Mftfr9VAqlbBarcjI\\\n",
       "yAAAdHd3o6enB4FAQIQkg8EAh8MBnU6Hjo4OOJ3OKxYK5Y6c8vUDgMfjQX19vbieUCiEgYEB9PX1\\\n",
       "wWQyoaCgABaLRYzm+MIXvoBt27ahvb09af+f3+9He3s7KisrUV5ejqampqTfjxwG1Wq1qKYmBsKM\\\n",
       "jAyxR/Szho9rdfnuhXj55ZfR3t5+Wd+DgZCI0gUDIRENKRKJ4Ec/+hHWrVuH06dPw2azYf78+fiP\\\n",
       "//gPFBQUnPO5K1euxC9/+Ut0dnZi0qRJeOGFFzBjxgzx82AwiO9973tYtWoVQqEQFi5ciBdffBF2\\\n",
       "u/1yX9Z1Z+7cuXC5XGhpacHAwMCQe8Ci0Siam5vx29/+FmPHjkV/fz9OnTo1bIdReXnj+fb2eb1e\\\n",
       "vPPOO9i5cyeKi4tRXFyMkpIS5ObmigqjzWZDfn4+8vPzUVRUBJvNJsJNUVERKisrRXOW/Px8TJ48\\\n",
       "GWPGjIFOp0NdXR3efvttHDp0CH6/H8DZbpmFhYUYNWoU6uvrUVNTA6/Xe9Eh5kKWnw51TDQaRVdX\\\n",
       "Fzo7O1FUVIRIJIIjR45gz549UKlUuOWWWzB9+nRkZGRAr9fjpptuwpw5c/DXv/5VhEsASfcgLy8P\\\n",
       "9fX14roSQ6G87FPuGAuc/X3Jg+sZPK4cBkIiShcMhEQ0JL/fjwMHDuDHP/4xJk2ahIGBAfzrv/4r\\\n",
       "Fi9ejJqammGf99Zbb2H58uV46aWXMHPmTKxYsQILFy7EyZMnkZeXBwD47ne/i7Vr1+Kdd96BzWbD\\\n",
       "smXL8OUvfxmffPLJlbq868brr78Oj8eDLVu24Pnnn0ddXd2QQS8SiaCtrQ1dXV2icniu/YEej2fI\\\n",
       "qqNMfg2n0wmXy4UTJ05Ao9HAbDaL/YMOhwNZWVkoKioSTVfMZjPUajUMBgPUajXUajWKiooQi8VQ\\\n",
       "Xl6OcePGwW63Q6PRoKKiAj09PaitrRXhKBAIwO12Iy8vD3a7HS6XC8eOHRtUTZOXbCYuPU0lHyPP\\\n",
       "/7uYSqO8bLS1tRWjR48WMwTPnDmDQCAAvV6PoqIimEwm6HQ62O123H///di5cydaWlqS7m0sFoPV\\\n",
       "aoXNZkNRURHq6+vF7zLxOjQazaDf3+nTp9Hd3Q2z2Tyi5aGp4vE4otEoIpEITCbTBT+fiIg+vxgI\\\n",
       "iWhINpsNGzZsSHrst7/9LWbMmIHm5maUlJQM+bznnnsOjz32GL75zW8CAF566SWsXbsWr7zyCr7/\\\n",
       "/e/D5XLhD3/4A958803ccccdAIBXX30VY8eOxe7du3HTTTdd3gu7zuTm5iIzMxPz5s3DoUOH0NLS\\\n",
       "IqpFqeLxeNLetaGMdK6d/LPEEJYYvOTw5vV6odFoUF5eLpY8ykPYMzMzUVJSgnA4jFAoBLvdDpvN\\\n",
       "Br1eD7VaDbPZjJycnKQGN5FIRDRmKSwsRFlZGU6fPp1UzVQoFNBqtWK2XzAYFD9PvR656pY6sP5C\\\n",
       "yI18QqFQUmdVuXLn8/lE2FSr1SguLkZeXh7a2trE4/K1yb+f1IqSfH6xWEzsTUxcztvT04OmpiaU\\\n",
       "lJRccGMY+Tzb29vR1tYm/r2jc2OFkIjSBQMhEY2Yy+WCQqEQe8BShcNh7N+/Hz/4wQ/EY0qlEvPn\\\n",
       "z8euXbsAAPv370ckEsH8+fPFMWPGjEFJSQl27drFQJhC7mxZUVGBp59+Gj6fD//93/+dNMxcNtKZ\\\n",
       "fxcTiuTXDofDGBgYQDAYRHd3N0wmE5qbm2EymcTYA3nZo0qlQklJCRQKBfr6+mC1WqHX66HVaqFS\\\n",
       "qcQevNT5evLIhylTpuDOO+/EwMAAampqEAgEAAAGgwFlZWWYMmUKbDYb6urqcPDgQXg8HgSDwSEH\\\n",
       "11/sB3Z5/9/Jkycxa9YsZGdnw+FwoLy8HN3d3dDpdPD7/QiFQqIqWlRUhDlz5uDYsWPinAHA6XTi\\\n",
       "0KFDyM3NRXNz86AqYCwWQygUEsFarurF43E0Nzfj17/+NSwWCyZNmgStVjvkAHsgeZlsJBLBoUOH\\\n",
       "8D//5//Enj174PP5xPJcOjcGQiJKFwyERDQiwWAQTz31FB566CFYrdYhj+nt7UUsFhu0F9But6O2\\\n",
       "thYA0NnZCa1WOyhU2u12dHZ2Dvv+oVAIoVBIfO92uy/ySq5PKpUK+fn5WLlyJSorK7Fy5UoMDAyc\\\n",
       "s+o1VBXqXEay307ugOn3+xEIBNDX1ye6kVosFjz88MOi8Yk85sDpdOKTTz6BUqnEnDlzMHHiRLG0\\\n",
       "tLS0VMzXk1/f5/Ph4MGDuO+++3DzzTcjJycHL730Eg4cOIBIJILc3Fzcc889+NrXvob8/HwoFAo0\\\n",
       "NTVh3759ePrpp9HZ2Snuixyo5FERFxqG5Urojh07UF5ejkWLFmHUqFHIzc1Fd3c3YrEYFAoFXC4X\\\n",
       "1Go1dDodFAoFqqqqxHgIufrX19eHt956S3SBHWo/aCwWEx1aZdFoFG63Gx9//DFqamqwePFifOc7\\\n",
       "30FFRYWokib+DuVqrsvlwgsvvIDnnntu2KoynRuDHhGlgwvfiEBEn0tvvPGG2ANmNpuxfft28bNI\\\n",
       "JIIHH3wQkiThd7/73VU5v2effRY2m018FRcXX5XzuJoUCgWMRiP+4R/+AV/4whdgt9thNBqh1Wqh\\\n",
       "VqvFfjn5S17amDo3b7jXBkZePUxc4hgOh9HV1YVXXnkFra2tSdW+QCCA7du345133sFrr72GF198\\\n",
       "EbW1tWJPoM1mg8PhGFTtcjqdCAQCMJlMKCoqgt1uF3sBQ6EQtFotsrOzYTabYbFYMGbMGNx33324\\\n",
       "4447hhzLIIe1xJ+NVDweR39/Pz766CMcOXIEwWAQVqsVubm5UKvVaGtrw6FDh3D48GHU1tbi+PHj\\\n",
       "OHHixKC9nnIzH6/XO2zDn8T7mhj25XA7MDCA1atX4/nnn8fBgwfR09MDr9crArrcKdXtdmPPnj14\\\n",
       "++234ff7GQYvgvzvzEi/LtV7ERFdaawQEhEAYPHixZg5c6b4vrCwEMDfw2BTUxM2bdo0bHUQAHJy\\\n",
       "cqBSqdDV1ZX0eFdXFxwOBwDA4XCIPVmJVcLEY4bygx/8AMuXLxffu91u/P73v7+ga7zeySErKysL\\\n",
       "9913H3Jzc9HY2Iienh709PRgYGAAfr9/UPfQc1UKUwesn48cMuUqlPy8SCSC48eP4/e//z1+9KMf\\\n",
       "wWQyIR6Po6urCx9//DEaGhoQiUTQ09MDpVKJn/zkJ8jPz4dGo0F1dTX2798/aH9iV1cXwuGw+PMS\\\n",
       "CAQQDofh8XjQ29sLjUYj5gBqNBrYbDY88MADeO+995Kqb/IyzuLiYnR0dKCpqUmMuhipaDSKU6dO\\\n",
       "4U9/+hPcbjcqKirgdrtx4sQJMcQeAIxGIwCgtbU1abnoUPd+JPd6qOf7/X4cPnwYmzZtwsDAAKxW\\\n",
       "q/idyEtJe3p68N5776Gzs5Nh8CJdqSWj5/rvHhHRlcBASEQAAIvFAovFkvSYHAbr6uqwefNmZGdn\\\n",
       "n/M1tFotpk2bho0bN+Lee+8FcLYqsnHjRixbtgwAMG3aNGg0GmzcuBH3338/AODkyZNobm7GrFmz\\\n",
       "hn1tnU43aHlcOpBDhVwh8vv9cLvdKC8vR0lJiRiqfuTIEWzatAmHDx+G0+kctBwxcSB84jBzuaoo\\\n",
       "71c7XydOpVIJnU4HpVKJcDic1MQmGAxi1apVuPPOO3HjjTcCAJqamtDU1IRQKIR4PA6Px4P169ej\\\n",
       "oqICjzzyiFheaTQa4Xa7xbnJAXPKlClobGxEfX09QqEQotEogsGg6KaaeH1KpRLTpk2D3W5HY2Mj\\\n",
       "4vE4VCoV7HY7li5dittvvx3BYBCrV6/Gf/3Xf6Gjo2PISt1QAVmev3jkyBF0dXUhPz8f4XAYnZ2d\\\n",
       "oglOYsMZAOfs9DoceamtvOw2sUKYGHwzMzPR39+PHTt2oKenB+3t7fB6vWJvpkKhQEtLy5DLUmlk\\\n",
       "rkQgfPnll9HV1QWDwTDkXyAQEV0JDIRENKRIJIJ/+Id/wIEDB7BmzRrEYjGxxy8rK0vscZo3bx7u\\\n",
       "u+8+EfiWL1+Ohx9+GNOnT8eMGTOwYsUK+Hw+0XXUZrPh0UcfxfLly5GVlQWr1Yonn3wSs2bNYkOZ\\\n",
       "IaxYsQLxeBzhcBixWAxGoxGlpaUYO3YsioqKYDAYEIvFRNfXlpYWuFwuABAVNzlkyF9ysDCZTGJu\\\n",
       "YG9v73n3JCqVSpjNZpSWlkKv16OpqQl9fX0iVMkVwT/+8Y8oLCyEyWRCT0+P6M4pf7lcLvzpT39C\\\n",
       "bm4uJk+eDKPRiKysLHi9XrEnLxaL4dNPP8WGDRtw5swZdHZ2ioAl749LbRajUCiQnZ2Nu+++G7//\\\n",
       "/e8RDodhsVjwta99DQ899BAyMzOhUCgwduxY3HTTTXj66adx9OjRQR1M5S6pqQFZDoWtra3o6OgA\\\n",
       "ALG0M9X5AkJipTXxMXnfpVarhSRJ4jyUSiVMJhMqKiowe/ZsjBkzRuxt3LVrF3p7e0X4U6lUonmP\\\n",
       "/D4XM3KDLtzmzZuTvp88efI5u7o+/vjjAM6O+eFyUSK6WhgIiWhIbW1t+Nvf/gbg7IeaRJs3b8Zt\\\n",
       "t90GAGhoaEBvb6/42Ve+8hX09PSI5h6TJ0/Ghx9+mNRo5je/+Q2USiXuv//+pMH0NNivf/1r0YVT\\\n",
       "qVTCZrPh5ptvRmlpKYxGI/R6PSRJgsPhwPjx45GVlYUzZ84Mqm5JkgSVSgWLxQKr1Yri4mKMGjUK\\\n",
       "FRUVkCQJO3bswPbt24etKCkUCuh0OkyaNAkPPvggbDYb1q1bh7Vr14qZhsDZqtjevXtRW1uLyspK\\\n",
       "hEKhQc1c4vE4Ojo68Nprr+Gee+5BLBZDZmYmOjs7k8Jje3s7Nm3aBJfLlTTkPfGaUmm1Wnz729/G\\\n",
       "mTNncObMGcyePRuPP/44srOzxf5Bs9mMO+64A7FYDP/+7/+OM2fOiMAkV9gsFgu8Xi+cTueg9xlu\\\n",
       "7mHq+Q1HDp0WiwUmk0mEPvl3LJ9nNBqFWq2GVqtFYWEhFixYgLvuugulpaVQqVRoaWnBnj170N/f\\\n",
       "n7QENhqNIhqNwmw2w2g0itfm0tELczEVwjVr1mDNmjVJPxvuvsu/53Xr1n2GsyQi+uwYCIloSGVl\\\n",
       "ZSP6ANnY2DjosWXLlomK4VD0ej1WrlyJlStXfpZTTAtOpxPA35cMBgIBfPrpp3C5XKLiB5y9p/n5\\\n",
       "+cjKyhryQ6wcYMxmM8rLy3HTTTdh6tSpKCsrE8sq6+rqksJdIqVSCYfDgYcffhgLFy6EVqtFbm4u\\\n",
       "ampqxFB5+Tx7e3tx6tQp5OTkIB6PD1r+CJwNLfX19Vi/fj1KS0uh1Wqh1+tFeAEAn8+H1tZWURmU\\\n",
       "P6Cr1WpkZGQMOaBdqVSisrISP//5z9HR0YFRo0ahoKAgqZmMHG5nzpyJuXPnorOzEz6fD8DZD+mZ\\\n",
       "mZkYNWoU+vv7cejQoWEbwJzPcF1N5UprVVUVysvLodFo4PF44HK54PF4RIMYpVIJrVaLkpISPPjg\\\n",
       "g2LfqDxXUavVory8XMwrlMlVVLVajcLCQuj1enR0dHD56AW6mEB411134fbbbxePp/5lmmzRokWI\\\n",
       "x+MoKyvDF7/4xc98rkREnwUDIRHRNSyxsqNQKBCJRNDf3y/GbsgfROWKU2ZmJpRK5bBhXq/XIy8v\\\n",
       "D+Xl5SgqKoLD4YBGo8G0adMwevRonD59elD1S25WMmXKFNx6663Izc2FQqHAhAkTUFVVhdOnTycd\\\n",
       "HwqF0NHRIebdaTSaQech7zk8ffq0WHap0+nEPkHg7HJMuTIoz+YDzjZuKSoqEt+n0mg0GDVqFMrL\\\n",
       "y8XMw1RKpRIWiwUTJ07E6tWrRYVNpVLBZrOhsrISOTk5OHr06EUHQvnepe51lANtRUUFRo8eDbVa\\\n",
       "jf7+frS1tSESicDr9SISiSAej8NgMKCqqgpz585Fbm6uuJcKhQIGgwHjx48fMrQoFApYLBZMnToV\\\n",
       "fX192Lx5c9IeTTq/iwmEt99+e1Lzq+F89NFHAM7+hVrqe8hjVORl4ERElxsDIRHRNWyopZ/hcHhQ\\\n",
       "Awo5tMkNRYaqTsmBR6fTwWAwiH1mGo0GmZmZKC0tHbLqJlfUxo4di6ysLBHEzGYzCgoKBn2gjcfj\\\n",
       "8Hq9CIfDYl/cUOQxDE6nU4yEUKlUouIlfymVSmg0GjFCw2azDar6pZ6vRqMRlcnhPtSrVCpkZ2cn\\\n",
       "DXlXKpXQ6/XIzMwU4zwuZn5h6vmkVjhNJhOsVivMZjOUSiV8Pt+g5j7yEtKcnJykJa8yuWo71H1Q\\\n",
       "KBSw2WwYP348BgYGsH///mGrvzS0y9lUZsWKFVixYkXSY/X19QCAqqoqhkEiuqIUEv/fgYiuQ263\\\n",
       "G88999x5P4gVFBTgscceu0JnRURXwssvv4z29vZzHvOTn/wELpfrnKNyhvLcc8/he9/7HtasWQOT\\\n",
       "yTSi5/h8Ptx111349a9/PaIK4VAudBYoEdGlwsH0REREREREaYpLRomIiIhSXKnB9DJWBonoamEg\\\n",
       "JCIiIkpxpQMhEdHVwkBIRERElIKBkIjSBQMhERERUQoGQiJKFwyERERERCkYCIkoXbDLKBERERER\\\n",
       "UZpihZCIiIgoBSuERJQuGAiJiIiIUjAQElG6YCAkIiIiSsFASETpgoGQiIiIKAUDIRGlCwZCIiIi\\\n",
       "oiEw6BFROmCXUSIiIiIiojTFCiERERFRCi4ZJaJ0wUBIRERElIKBkIjSBQMhERERUQoGQiJKFwyE\\\n",
       "RERERCkYCIkoXTAQEhEREaVgICSidMFASERERJSCgZCI0gXHThAREREREaUpVgiJiIiIUrBCSETp\\\n",
       "goGQiIiIKAUDIRGlCwZCIiIiohQMhESULhgIiYiIiFIwEBJRumAgJCIiIkrBQEhE6YJdRomIiIiI\\\n",
       "iNIUK4REREREKVghJKJ0wUBIRERElIKBkIjSBQMhERERUQoGQiJKFwyERERERCkYCIkoXTAQEhER\\\n",
       "EaVgICSidMEuo0RERERERGmKFUIiIiKiFKwQElG6YCAkIiIiGgKDHhGlAwZCIiIiohSsEBJRumAg\\\n",
       "JCIiIkrBQEhE6YKBkIiIiCgFAyERpQsGQiIiIqIUDIRElC44doKIiIiIiChNsUJIRERElIIVQiJK\\\n",
       "FwyERERERCkYCIkoXTAQEhEREaVgICSidMFASERERJSCgZCI0gUDIREREVEKBkIiShfsMkpERERE\\\n",
       "RJSmGAiJiIiIUsgVwpF+fdbXnjRp0mW6EiKic2MgJCIiIkpxOQOh/PrV1dUoLS0FABw5cgT/9V//\\\n",
       "dakvg4jovBgIiYiIiFJczkAoSRLi8Thqa2vR2NiIJ554AgDw5JNPXo5LISI6JzaVIaLPta6uLrz8\\\n",
       "8stX+zSI6BLq6uq67O9xMU1lNm/enPT45MmTcccdd5z3+fv37wcA2O32CzxLIqLPjoGQiD7XYrEY\\\n",
       "2tvbr/ZpENF15mIC4Zo1a7BmzZqkn0mSdM7n9vb2Yt++fQCAurq6izhTIqLPhoGQiIiI6BK46667\\\n",
       "cPvtt4vvJ0+efN7n5ObmAgDuvvvuy3VaRETnxEBIRERElOJiKoS33347li9ffkHvAQC33HIL/va3\\\n",
       "v134SRIRXQJsKkNEI/LEE09AoVBgxYoV5z125cqVKCsrg16vx8yZM7F3796knweDQSxduhTZ2dkw\\\n",
       "m824//77r8ieICKikbqcTWX8fr94ztSpU7Ft27bLcQlERCPCQEhE5/Xee+9h9+7dKCgoOO+xb731\\\n",
       "FpYvX45nnnkGBw4cwKRJk7Bw4UJ0d3eLY7773e9i9erVeOedd7B161a0t7fjy1/+8uW8BCKiC3I5\\\n",
       "A6HJZAIAWCwWjBs3DkuWLMGSJUvw3nvvXY5LISI6Jy4ZJaJzamtrw5NPPon169dj0aJF5z3+ueee\\\n",
       "w2OPPYZvfvObAICXXnoJa9euxSuvvILvf//7cLlc+MMf/oA333xTdN979dVXMXbsWOzevRs33XTT\\\n",
       "Zb0eIqKRupj5ghfC4/HgT3/6k/j+jTfeQDwev6zvSUSUihVCIhpWPB7HkiVL8D/+x//A+PHjz3t8\\\n",
       "OBzG/v37MX/+fPGYUqnE/PnzsWvXLgBn26tHIpGkY8aMGYOSkhJxDBHR1Xa55xAO9cUwSERXAyuE\\\n",
       "RDSs//N//g/UajW+853vjOj43t5exGKxQbO07HY7amtrAQCdnZ3QarXIyMgYdExnZ+ewrx0KhRAK\\\n",
       "hcT3brd7hFdBRERERMNhhZCIAJxdqmQ2m8XX1q1b8Z//+Z947bXXLvuyqZF49tlnYbPZxFdxcfHV\\\n",
       "PiUi+hy7nBVCIqJrCQMhEQEAFi9ejEOHDomvnTt3oru7GyUlJVCr1VCr1WhqasL3vvc9lJWVDfka\\\n",
       "OTk5UKlUgzqGdnV1weFwAAAcDgfC4TCcTuewxwzlBz/4AVwul/hqaWn5TNdLRHQuDIRElC64ZJSI\\\n",
       "AJztdmexWMT3jz/++KBByQsXLsSSJUtEw5hUWq0W06ZNw8aNG3HvvfcCOLsPcePGjVi2bBkAYNq0\\\n",
       "adBoNNi4cSPuv/9+AMDJkyfR3NyMWbNmDXt+Op0OOp3us1wiEdGIXcwcQiKi6xEDIRENKTs7G9nZ\\\n",
       "2UmPaTQaOBwOVFdXi8fmzZuH++67TwS+5cuX4+GHH8b06dMxY8YMrFixAj6fT4RIm82GRx99FMuX\\\n",
       "L0dWVhasViuefPJJzJo1ix1GieiawUBIROmCgZCIPpOGhgb09vaK77/yla+gp6cHTz/9NDo7OzF5\\\n",
       "8mR8+OGHSY1mfvOb30CpVOL+++9HKBTCwoUL8eKLL16N0yciGhIDIRGlCwZCIhqxxsbGET22bNky\\\n",
       "UTEcil6vx8qVK7Fy5cpLeHZERJcOAyERpQs2lSEiIiIiIkpTrBASERERpWCFkIjSBQMhERERUQoG\\\n",
       "QiJKFwyERERERCkYCIkoXTAQEhEREaVgICSidMFASERERJSCgZCI0gW7jBIREREREaUpVgiJiIiI\\\n",
       "UrBCSETpgoGQiIiIKAUDIRGlCwZCIiIiohQMhESULhgIiYiIiFIwEBJRumAgJCIiIkrBQEhE6YJd\\\n",
       "RomIiIiIiNIUK4REdF2SJOlqnwIRXeM+y38nPB7PiCt/Ho/not+HiOhqYyAkouuSx+PBT3/606t9\\\n",
       "GkR0DfN4PLDZbBf0nLFjxwIAiouLL/j95OcSEV1PFBL/mp2IrkPxeBzt7e2wWCxpvX/H7XajuLgY\\\n",
       "LS0tsFqtV/t0rhreh7N4H86SJAkejwcFBQVQKi98d8wHH3yAEydOXNBzxo4diy9+8YsX/F5ERFcb\\\n",
       "AyER0XXM7XbDZrPB5XKldQDgfTiL94GIiC4Um8oQERERERGlKQZCIiIiIiKiNMVASER0HdPpdHjm\\\n",
       "mWeg0+mu9qlcVbwPZ/E+EBHRheIeQiIiIiIiojTFCiEREREREVGaYiAkIiIiIiJKUwyERERERERE\\\n",
       "aYqBkIjoGhKJRPDUU09hwoQJMJlMKCgowDe+8Q20t7ef97krV65EWVkZ9Ho9Zs6cib179yb9PBgM\\\n",
       "YunSpcjOzobZbMb999+Prq6uy3Upn8n5riXVO++8gzFjxkCv12PChAlYt25d0s8lScLTTz+N/Px8\\\n",
       "GAwGzJ8/H3V1dZfzEj6zZ599FjfeeCMsFgvy8vJw77334uTJk+d93ufxXhAR0eXDQEhEdA3x+/04\\\n",
       "cOAAfvzjH+PAgQP4y1/+gpMnT2Lx4sXnfN5bb72F5cuX45lnnsGBAwcwadIkLFy4EN3d3eKY7373\\\n",
       "u1i9ejXeeecdbN26Fe3t7fjyl798uS/pgo3kWhLt3LkTDz30EB599FEcPHgQ9957L+69914cPXpU\\\n",
       "HPOLX/wCzz//PF566SXs2bMHJpMJCxcuRDAYvFKXdcG2bt2KpUuXYvfu3diwYQMikQgWLFgAn883\\\n",
       "7HM+r/eCiIguI4mIiK5pe/fulQBITU1Nwx4zY8YMaenSpeL7WCwmFRQUSM8++6wkSZLkdDoljUYj\\\n",
       "vfPOO+KYEydOSACkXbt2Xb6Tvwjnu5ZUDz74oLRo0aKkx2bOnCl9+9vfliRJkuLxuORwOKRf/vKX\\\n",
       "4udOp1PS6XTSn//858twBZdHd3e3BEDaunXrsMeky70gIqJLhxVCIqJrnMvlgkKhQEZGxpA/D4fD\\\n",
       "2L9/P+bPny8eUyqVmD9/Pnbt2gUA2L9/PyKRSNIxY8aMQUlJiTjmWjCSa0m1a9eupOMBYOHCheL4\\\n",
       "M2fOoLOzM+kYm82GmTNnXlPXfj4ulwsAkJWVNewx6XIviIjo0mEgJCK6hgWDQTz11FN46KGHYLVa\\\n",
       "hzymt7cXsVgMdrs96XG73Y7Ozk4AQGdnJ7Ra7aBQmXjMtWAk15Kqs7PzvNcuPzbS17zWxONx/Nu/\\\n",
       "/Rtmz56NG264Ydjj0uFeEBHRpcVASER0Fb3xxhswm83ia/v27eJnkUgEDz74ICRJwu9+97ureJZ0\\\n",
       "tS1duhRHjx7FqlWrrvapEBHR54z6ap8AEVE6W7x4MWbOnCm+LywsBPD3MNjU1IRNmzYNWx0EgJyc\\\n",
       "HKhUqkEdQ7u6uuBwOAAADocD4XAYTqczqUqYeMy1YCTXksrhcJz32uXH8vPzk46ZPHnyJTz7y2PZ\\\n",
       "smVYs2YNtm3bhqKionMe+3m/F0REdOmxQkhEdBVZLBZUVVWJL4PBIMJgXV0dPv74Y2RnZ5/zNbRa\\\n",
       "LaZNm4aNGzeKx+LxODZu3IhZs2YBAKZNmwaNRpN0zMmTJ9Hc3CyOuRaM5FpSzZo1K+l4ANiwYYM4\\\n",
       "vry8HA6HI+kYt9uNPXv2XFPXnkqSJCxbtgzvvfceNm3ahPLy8vM+5/N6L4iI6DK62l1tiIjo78Lh\\\n",
       "sLR48WKpqKhIOnTokNTR0SG+QqGQOO6OO+6QXnjhBfH9qlWrJJ1OJ7322mvS8ePHpccff1zKyMiQ\\\n",
       "Ojs7xTFPPPGEVFJSIm3atEmqqamRZs2aJc2aNeuKXt9InO9alixZIn3/+98Xx3/yySeSWq2WfvWr\\\n",
       "X0knTpyQnnnmGUmj0UiffvqpOOY//uM/pIyMDOn999+Xjhw5It1zzz1SeXm5FAgErvj1jdQ///M/\\\n",
       "SzabTdqyZUvSnwO/3y+OSZd7QURElw8DIRHRNeTMmTMSgCG/Nm/eLI4rLS2VnnnmmaTnvvDCC1JJ\\\n",
       "SYmk1WqlGTNmSLt37076eSAQkP7lX/5FyszMlIxGo3TfffdJHR0dV+CqLty5ruXWW2+VHn744aTj\\\n",
       "3377bWn06NGSVquVxo8fL61duzbp5/F4XPrxj38s2e12SafTSfPmzZNOnjx5JS7log335+DVV18V\\\n",
       "x6TLvSAiostHIUmSdHVqk0RERERERHQ1cQ8hERERERFRmmIgJCIiIiIiSlMMhERERERERGmKgZCI\\\n",
       "iIiIiChNMRASERERERGlKQZCIiIiIiKiNMVASERERERElKYYCImIiIiIiNIUAyEREV0X/vCHP2DB\\\n",
       "ggWX/X0+/PBDTJ48GfF4/LK/FxER0dXGQEhERNe8YDCIH//4x3jmmWcu+3vdeeed0Gg0eOONNy77\\\n",
       "exEREV1tDIRERHTNe/fdd2G1WjF79uwr8n6PPPIInn/++SvyXkRERFcTAyEREV0xPT09cDgc+PnP\\\n",
       "fy4e27lzJ7RaLTZu3Djs81atWoW777476bHbbrsN//Zv/5b02L333otHHnlEfF9WVob//b//N77x\\\n",
       "jW/AbDajtLQUf/vb39DT04N77rkHZrMZEydORE1NTdLr3H333aipqUFDQ8PFXywREdF1gIGQiIiu\\\n",
       "mNzcXLzyyiv4yU9+gpqaGng8HixZsgTLli3DvHnzhn3ejh07MH369It6z9/85jeYPXs2Dh48iEWL\\\n",
       "FmHJkiX4xje+gX/8x3/EgQMHUFlZiW984xuQJEk8p6SkBHa7Hdu3b7+o9yQiIrpeMBASEdEV9aUv\\\n",
       "fQmPPfYYvv71r+OJJ56AyWTCs88+O+zxTqcTLpcLBQUFF/1+3/72tzFq1Cg8/fTTcLvduPHGG/HA\\\n",
       "Aw9g9OjReOqpp3DixAl0dXUlPa+goABNTU0X9Z5ERETXCwZCIiK64n71q18hGo3inXfewRtvvAGd\\\n",
       "TjfssYFAAACg1+sv6r0mTpwo/tlutwMAJkyYMOix7u7upOcZDAb4/f6Lek8iIqLrBQMhERFdcQ0N\\\n",
       "DWhvb0c8HkdjY+M5j83OzoZCocDAwMB5XzcWiw16TKPRiH9WKBTDPpY6ZqK/vx+5ubnnfU8iIqLr\\\n",
       "GQMhERFdUeFwGP/4j/+Ir3zlK/hf/+t/4Z/+6Z8GVecSabVajBs3DsePHx/0s9RlnqdPn74k5xgM\\\n",
       "BtHQ0IApU6ZcktcjIiK6VjEQEhHRFfXDH/4QLpcLzz//PJ566imMHj0a3/rWt875nIULF2LHjh2D\\\n",
       "Hn///ffxl7/8BQ0NDfjZz36G48ePo6mpCW1tbZ/pHHfv3g2dTodZs2Z9ptchIiK61jEQEhHRFbNl\\\n",
       "yxasWLECf/zjH2G1WqFUKvHHP/4R27dvx+9+97thn/foo49i3bp1cLlcSY8vWrQIv/jFLzBu3Dhs\\\n",
       "27YNL774Ivbu3Ys//vGPn+k8//znP+PrX/86jEbjZ3odIiKia51CSuyzTUREdI164IEHMHXqVPzg\\\n",
       "Bz8AcHYO4eTJk7FixYpL+j69vb2orq5GTU0NysvLL+lrExERXWtYISQiouvCL3/5S5jN5sv+Po2N\\\n",
       "jXjxxRcZBomIKC2wQkhERNely1UhJCIiSicMhERERERERGmKS0aJiIiIiIjSFAMhERERERFRmmIg\\\n",
       "JCIiIiIiSlMMhERERERERGmKgZCIiIiIiChNMRASERERERGlKQZCIiIiIiKiNMVASERERERElKYY\\\n",
       "CImIiIiIiNIUAyEREREREVGaYiAkIiIiIiJKUwyEREREREREaYqBkIiIiIiIKE0xEBIREREREaWp\\\n",
       "/w80PiTITFWVXwAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[9] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAzqFJREFUeJzs3XeYVOXZx/Hv9NmZ2d4bsMDSQToCIlIUIqJYUBHsJUqMGmPM\\\n",
       "awnWaGJijVFjiD02YgQVGwJKld47LMsuy/Y2O7OzU8/7h9c52dmdXZYmZe/Pde0lzJw555kZSM6P\\\n",
       "+3meW6coioIQQgghhBBCiHZHf7IHIIQQQgghhBDi5JBAKIQQQgghhBDtlARCIYQQQgghhGinJBAK\\\n",
       "IYQQQgghRDslgVAIIYQQQggh2ikJhEIIIYQQQgjRTkkgFEIIIYQQQoh2SgKhEEIIIYQQQrRTEgiF\\\n",
       "EEIIIYQQop2SQCiEEEIIIYQQ7ZQEQiGEEEIIIYRopyQQCiGEEEIIIUQ7JYFQCCGEEEIIIdopCYRC\\\n",
       "CCGEEEII0U5JIBRCCHFUvv/+e3Q6Hd9///3JHoo4zlavXo3ZbObAgQM/+7UrKyux2+18+eWXP/u1\\\n",
       "hRCiPZJAKIQQolWvvPIKb7311skexlF5//33eeGFF072MAAIhUI888wz5OTkYLVa6devHx988EGb\\\n",
       "X19TU8Ntt91GcnIydrudMWPGsH79+mbHffTRR8yYMYPc3Fx0Oh3nnXfeEY/1oYceYtq0aXTs2PGI\\\n",
       "X3usEhMTueWWW/jDH/7ws19bCCHaI52iKMrJHoQQQohTV58+fUhKSmpWCQyFQvh8PsxmM3r9qfnv\\\n",
       "ixdddBFbt24lPz//ZA+FBx54gD/96U/ceuutDBkyhHnz5jF//nw++OADrr766lZfGwqFGDVqFJs2\\\n",
       "beJ3v/sdSUlJvPLKKxQWFrJu3Tpyc3O1Y8877zzWrVvHkCFD2LhxI/369TuiKu7GjRsZMGAAK1as\\\n",
       "YPjw4Uf7do/Jjh076NWrFwsXLmTs2LEnZQxCCNFeSCAUQog2cLvd2O32kz2Mk6KlQHg6OFUCYVFR\\\n",
       "ETk5Odx22228/PLLACiKwujRo9m/fz/5+fkYDIYWX//xxx9z1VVXMWfOHK644goAysvL6datG7/4\\\n",
       "xS94//33tWMLCwvJzMxEr9cf1Xd39913M3fuXPLz89HpdEf3ho+Dvn37MmDAAN55552TNgYhhGgP\\\n",
       "Ts1/0hVCiBOoqKiIm2++mYyMDCwWCzk5Odxxxx34fD4A3nrrLXQ6HT/88AMzZ84kJSWFrKws7fWv\\\n",
       "vPIKvXv3xmKxkJGRwa9+9StqamrCrrFnzx4uv/xy0tLSsFqtZGVlcfXVV1NbW6sds2DBAs455xzi\\\n",
       "4uJwOBx0796dBx988LDjb8vrvF4vjzzyCF27dsVisZCdnc3999+P1+ttdr733nuPoUOHYrPZiI+P\\\n",
       "59xzz+Xbb78FoFOnTmzbto0ffvgBnU4XNgWxpTWEc+bMYdCgQURFRZGUlMSMGTMoKioKO+aGG27A\\\n",
       "4XBQVFTElClTcDgcJCcnc9999xEMBg/7GcybN49JkyZp32GXLl144oknwl573nnnMX/+fA4cOKCN\\\n",
       "vVOnTi2e84YbbtCOa/rz6KOPHnZMhxuv3+9n5syZ2mM6nY477riDgwcPsnLlylZf/5///IfU1FQu\\\n",
       "u+wy7bHk5GSuvPJK5s2bF/a9ZmdnH1PFdu7cuYwdO7ZZGGzpc+jUqRM33HCD9nv178+yZcu46667\\\n",
       "SE5OJi4ujl/+8pf4fD5qamq47rrriI+PJz4+nvvvv59I/zZ9/vnn8/nnn0d8TgghxPFjPNkDEEKI\\\n",
       "n9OhQ4cYOnSoth6rR48eFBUV8Z///If6+nrMZrN27MyZM0lOTmbWrFm43W4AHn30UR577DHGjx/P\\\n",
       "HXfcwa5du3j11VdZs2YNy5cvx2Qy4fP5mDBhAl6vl1//+tekpaVRVFTEF198QU1NDbGxsWzbto2L\\\n",
       "LrqIfv368fjjj2OxWNi7dy/Lly9vdfxteV0oFOLiiy9m2bJl3HbbbfTs2ZMtW7bw/PPPs3v3bubO\\\n",
       "nasd+9hjj/Hoo48yYsQIHn/8ccxmM6tWrWLRokVccMEFvPDCC/z617/G4XDw0EMPAZCamtri+N56\\\n",
       "6y1uvPFGhgwZwtNPP01paSkvvvgiy5cvZ8OGDcTFxWnHBoNBJkyYwLBhw/jrX//Kd999x7PPPkuX\\\n",
       "Ll244447Wv0c3nrrLRwOB/feey8Oh4NFixYxa9YsnE4nf/nLX4Cf1sHV1tZy8OBBnn/+eQAcDkeL\\\n",
       "5/zlL3/J+PHjwx77+uuv+fe//01KSor2WEVFRatjU0VHR2OxWADYsGEDdrudnj17hh0zdOhQ7flz\\\n",
       "zjmnxXNt2LCBgQMHNgt6Q4cO5fXXX2f37t307du3TeNqTVFREQUFBQwcOPCYz6X+2X/sscf48ccf\\\n",
       "ef3114mLi2PFihV06NCBp556ii+//JK//OUv9OnTh+uuuy7s9YMGDeL5559n27Zt9OnT55jHI4QQ\\\n",
       "ogWKEEK0I9ddd52i1+uVNWvWNHsuFAopiqIob775pgIo55xzjhIIBLTny8rKFLPZrFxwwQVKMBjU\\\n",
       "Hn/55ZcVQHnjjTcURVGUDRs2KIAyZ86cFsfx/PPPK4BSXl5+RONvy+veffddRa/XK0uXLg17/LXX\\\n",
       "XlMAZfny5YqiKMqePXsUvV6vXHrppWHvR1H+91koiqL07t1bGT16dLPrLF68WAGUxYsXK4qiKD6f\\\n",
       "T0lJSVH69OmjeDwe7bgvvvhCAZRZs2Zpj11//fUKoDz++ONh5xwwYIAyaNCg1j8ERVHq6+ubPfbL\\\n",
       "X/5SsdlsSkNDg/bYpEmTlI4dOx72fJHs2bNHiY2NVc4///ywPwdAm37efPPNsHF07ty52TXcbrcC\\\n",
       "KP/3f//X6ljsdrty0003NXt8/vz5CqB8/fXXEV/X0nfXku+++04BlM8//7zZc4DyyCOPNHu8Y8eO\\\n",
       "yvXXX6/9Xv37M2HChLA/R8OHD1d0Op1y++23a48FAgElKysr4hhXrFihAMpHH33U5vELIYQ4cjJl\\\n",
       "VAjRboRCIebOncvkyZMZPHhws+ebTpG79dZbw9Z1fffdd/h8Pu65556wSs2tt95KTEwM8+fPByA2\\\n",
       "NhaAb775hvr6+ohjUStl8+bNIxQKtfk9tOV1c+bMoWfPnvTo0YOKigrtR92cY/HixcBPUwNDoRCz\\\n",
       "Zs1qVnk6mrVja9eupaysjJkzZ2K1WrXHJ02aRI8ePbTPp7Hbb7897PejRo0iLy/vsNeKiorSfl1X\\\n",
       "V0dFRQWjRo2ivr6enTt3HvHYm3K73Vx66aXEx8fzwQcfhP05WLBgQZt+JkyYoL3G4/Fo1cLG1M/J\\\n",
       "4/G0Op5jfX1bVVZWAhAfH3/M57r55pvD/hwNGzYMRVG4+eabtccMBgODBw+O+J2rY2hrRVYIIcTR\\\n",
       "kSmjQoh2o7y8HKfT2ebpZzk5OWG/V3uyde/ePexxs9lM586dtedzcnK49957ee655/j3v//NqFGj\\\n",
       "uPjii5kxY4YWFq+66ipmz57NLbfcwv/93/8xbtw4LrvsMq644opW13+15XV79uxhx44dJCcnRzxH\\\n",
       "WVkZAPv27UOv19OrV682fR6H09LnA9CjRw+WLVsW9pjVam02xvj4eKqrqw97rW3btvHwww+zaNEi\\\n",
       "nE5n2HON12kerVtvvZV9+/axYsUKEhMTw55rOq20LaKioiKu32xoaNCeP5GvP1LKcVi316FDh7Df\\\n",
       "q3/2s7Ozmz0e6TtXx3AyN7YRQoj2QAKhEEK04Fhusp999lluuOEG5s2bx7fffstdd93F008/zY8/\\\n",
       "/khWVhZRUVEsWbKExYsXM3/+fL7++ms++ugjxo4dy7ffftvijpNteV0oFKJv374899xzEc/R9Ib8\\\n",
       "ZGltV83W1NTUMHr0aGJiYnj88cfp0qULVquV9evX8/vf//6IKq6RvPjii3zwwQe899579O/fv9nz\\\n",
       "JSUlbTpPbGys9mcoPT2dxYsXoyhKWMApLi4GICMjo9Vzpaena8c21tbXt5UaftsSylUthceWvt9I\\\n",
       "j0c6hzqGpKSkNo9FCCHEkZMpo0KIdiM5OZmYmBi2bt16VK9Xm3Tv2rUr7HGfz8f+/fubNfHu27cv\\\n",
       "Dz/8MEuWLGHp0qUUFRXx2muvac/r9XrGjRvHc889x/bt2/njH//IokWLtCmdLTnc67p06UJVVRXj\\\n",
       "xo1j/PjxzX7UCl6XLl0IhUJs37691eu1tULT0uejPna8mpx///33VFZW8tZbb3H33Xdz0UUXMX78\\\n",
       "+IjTHI+0urR06VLuu+8+7rnnHqZPnx7xmPT09Db9fPTRR9pr+vfvT319PTt27Ag716pVq7TnW9O/\\\n",
       "f3/Wr1/fLOyuWrUKm81Gt27djuh9tqRHjx4A7N+/P+LzdXV1zR5TK87HmzqGphvxCCGEOL4kEAoh\\\n",
       "2g29Xs+UKVP4/PPPWbt2bbPnDzdNbvz48ZjNZl566aWwY//1r39RW1vLpEmTAHA6nQQCgbDX9u3b\\\n",
       "F71er037q6qqanZ+NRREmhqoasvrrrzySoqKivjnP//Z7FiPx6PtmDplyhT0ej2PP/54s6DR+P3Z\\\n",
       "7fZmbTUiGTx4MCkpKbz22mth7+Grr75ix44d2udzrNQKU+Mx+nw+XnnllWbH2u32Nk8hLS4u5sor\\\n",
       "r+Scc87RdiqN5GjWEF5yySWYTKawMSqKwmuvvUZmZiYjRowIG8fOnTvx+/3aY1dccQWlpaX897//\\\n",
       "1R6rqKhgzpw5TJ48OeL6wqORmZlJdnZ2xL8fQLMWI1999RUNDQ0npDXEunXriI2NpXfv3sf93EII\\\n",
       "If5HpowKIdqVp556im+//ZbRo0drLRmKi4uZM2cOy5YtC2uL0FRycjIPPPAAjz32GBMnTuTiiy9m\\\n",
       "165dvPLKKwwZMoQZM2YAsGjRIu68806mTp1Kt27dCAQCvPvuuxgMBi6//HIAHn/8cZYsWcKkSZPo\\\n",
       "2LEjZWVlvPLKK2RlZbXafqAtr7v22mv5+OOPuf3221m8eDEjR44kGAyyc+dOPv74Y7755hsGDx5M\\\n",
       "165deeihh3jiiScYNWoUl112GRaLhTVr1pCRkcHTTz8N/LT9/6uvvsqTTz5J165dSUlJ0Taoacxk\\\n",
       "MvHnP/+ZG2+8kdGjRzNt2jSt7USnTp34zW9+c7RfW5gRI0YQHx/P9ddfz1133YVOp+Pdd9+NGEoG\\\n",
       "DRrERx99xL333suQIUNwOBxMnjw54nnvuusuysvLuf/++/nwww/DnuvXrx/9+vUDjm4NYVZWFvfc\\\n",
       "cw9/+ctf8Pv9DBkyhLlz57J06VL+/e9/h02jfOCBB3j77bfZv3+/1jfxiiuu4Oyzz+bGG29k+/bt\\\n",
       "JCUl8corrxAMBnnsscfCrrVkyRKWLFkC/LRu1u128+STTwJw7rnncu6557Y61ksuuYRPP/202fRW\\\n",
       "gB07dnDhhRdy8cUXc+jQIV588UViY2NZsWIFH3zwAdOmTTviz6YlCxYsYPLkybKGUAghTrSTsbWp\\\n",
       "EEKcTAcOHFCuu+46JTk5WbFYLErnzp2VX/3qV4rX61UU5X/b5kdqTaEoP7WZ6NGjh2IymZTU1FTl\\\n",
       "jjvuUKqrq7Xn8/LylJtuuknp0qWLYrValYSEBGXMmDHKd999px2zcOFC5ZJLLlEyMjIUs9msZGRk\\\n",
       "KNOmTVN2797d6tjb+jqfz6f8+c9/Vnr37q1YLBYlPj5eGTRokPLYY48ptbW1Yce+8cYbyoABA7Tj\\\n",
       "Ro8erSxYsEB7vqSkRJk0aZISHR2tAFqLgKZtJ1QfffSRdr6EhARl+vTpysGDB8OOuf766xW73d7s\\\n",
       "/T3yyCNKW/6vafny5crZZ5+tREVFKRkZGcr999+vfPPNN83G43K5lGuuuUaJi4tTgFZbUIwePbrF\\\n",
       "FhKR2i0cqWAwqDz11FNKx44dFbPZrPTu3Vt57733mh2ntuTYv39/2ONVVVXKzTffrCQmJio2m00Z\\\n",
       "PXp0xD+j6md4tO9j/fr1CtCsbQmg3HvvvcrUqVOVqKgoJT09XXn55ZeV1157TbHZbMott9yiKErL\\\n",
       "f3/UcTVtmRLpz8KOHTsUIOzvjBBCiBNDpygnYJ6HEEIIIU5b48aNIyMjg3fffVd7TKfT8cgjj/Do\\\n",
       "o4+e8Ovfc889LFmyhHXr1kmFUAghTjBZQyiEEEKIME899RQfffSR1krk51RZWcns2bN58sknJQwK\\\n",
       "IcTPQNYQCiGEECLMsGHD8Pl8J+XaiYmJuFyuk3JtIYRoj6RCKIQQQgghhBDtlFQIhRBCCHFYsuWA\\\n",
       "EEKcmaRCKIQQQgghhBDtlARCIYQQQgghhGinZMqoEOK0FAqFOHToENHR0bIToRAijKIo1NXVkZGR\\\n",
       "gV5/5P/2PW/ePLZt23ZEr+nduzeXXHLJEV9LCCFONgmEQojT0qFDh5g9e/bJHoYQ4hT12GOPUVhY\\\n",
       "SFZW1hG9bt68eUyZMuWorjl37lwJhUKI044EQiHEaSk6OhpAqoNCiBap/ztxJI60Mtj0tW0NhDab\\\n",
       "DY/Ho/1er9cTDAYBWLVqFWeffXaz10yaNIkvvvjiqMcnhBCRyBpCIcRpSYKgEOJwjvV/J3Q6XZt+\\\n",
       "jobf7weIOKX1q6++0q7frVs3YmJiAJg/f/5RvhMhhGiZBEIhhBBCiCbaGgaPNhT6/X4URdGqgo09\\\n",
       "+uijKIpCKBRi165d1NbWkpCQAMDo0aOP+b0JIURjMmVUCCGEEKKJIw16iqKwaNGisMcGDhzIxIkT\\\n",
       "j8t4XC4XABMmTDgu5xNCCJUEQiGEEEKIJo6m8rdw4UIWLlwY9piiKMc8lnnz5uHz+QB48MEHj/l8\\\n",
       "QgjRmARCIYQQQogmjiYQjhs3jrFjx2q/Hzhw4DGPY9WqVdqup3/84x+P+XxCCNGUBEIhhBBCiCaO\\\n",
       "JhCOHTv2uFbwGu82OnPmTKkOCiFOCNlURgghhBDiFNM4DF5//fX8/e9/P8kjEkKcqSQQCiGEEEI0\\\n",
       "caJ3Gf3b3/5Geno66enpAIRCIdLT0xk9enRYGExPT8flcnHFFVdwxRVX8MMPPxzX9ymEEDJlVAgh\\\n",
       "hBCiiWPpMdgW999/Pw0NDWGPlZSUUFJSwt133609VlxczCeffKL9fv78+WEN7YUQ4lhJIBRCCCGE\\\n",
       "aOJEB0IJdUKIU4UEQiGEEEKIJk50IBRCiFOFBEIhhBBCiCYkEAoh2gvZVEYIIYQQQggh2impEAoh\\\n",
       "hBBCNCEVQiFEeyEVQiFEm/3pT39Cp9Nxzz33tHrcnDlz6NGjB1arlb59+/Lll1+GPa8oCrNmzSI9\\\n",
       "PZ2oqCjGjx/Pnj17TuDIhRDiyJzothNCCHGqkEAohGiTNWvW8I9//IN+/fq1etyKFSuYNm0aN998\\\n",
       "Mxs2bGDKlClMmTKFrVu3asc888wzvPTSS7z22musWrUKu93OhAkTmm3BLoQQJ4sEQiFEeyGBUAhx\\\n",
       "WC6Xi+nTp/PPf/6T+Pj4Vo998cUXmThxIr/73e/o2bMnTzzxBAMHDuTll18GfqoOvvDCCzz88MNc\\\n",
       "cskl9OvXj3feeYdDhw4xd+7cn+HdCCHE4UkgFEK0FxIIhRCH9atf/YpJkyYxfvz4wx67cuXKZsdN\\\n",
       "mDCBlStXArB//35KSkrCjomNjWXYsGHaMZF4vV6cTmfYjxBCnCgSCIUQ7YUEQiFEqz788EPWr1/P\\\n",
       "008/3abjS0pKSE1NDXssNTWVkpIS7Xn1sZaOieTpp58mNjZW+8nOzj6StyGEEEIIISKQQCiEaFFh\\\n",
       "YSF33303//73v7FarSd1LA888AC1tbXaT2Fh4UkdjxDizCYVQiFEeyFtJ4QQLVq3bh1lZWUMHDhQ\\\n",
       "eywYDLJkyRJefvllvF4vBoMh7DVpaWmUlpaGPVZaWkpaWpr2vPpYenp62DH9+/dvcSwWiwWLxXKs\\\n",
       "b0kIIdpEgp4Qor2QCqEQokXjxo1jy5YtbNy4UfsZPHgw06dPZ+PGjc3CIMDw4cNZuHBh2GMLFixg\\\n",
       "+PDhAOTk5JCWlhZ2jNPpZNWqVdoxQghxKpDqoBCiPZAKoRCiRdHR0fTp0yfsMbvdTmJiovb4dddd\\\n",
       "R2ZmprbG8O6772b06NE8++yzTJo0iQ8//JC1a9fy+uuvA2h9DJ988klyc3PJycnhD3/4AxkZGUyZ\\\n",
       "MuVnfX9CCNGSIwl7EgqFEKczCYRCiGNSUFCAXv+/yQYjRozg/fff5+GHH+bBBx8kNzeXuXPnhgXL\\\n",
       "+++/H7fbzW233UZNTQ3nnHMOX3/99UlfpyiEECoJhEKI9kICoRDiiHz//fet/h5g6tSpTJ06tcVz\\\n",
       "6HQ6Hn/8cR5//PHjPDohhDg+JBAKIdoLWUMohBBCCCGEEO2UVAiFEEIIIZqQCqEQor2QQCiEOKPp\\\n",
       "dDqSk5NP9jCEEMdReXk5iqKc0GtIIBRCtBcSCIUQZ7Tk5GTuuOOOkz0MIcRx9Oqrr1JWVnZCryGB\\\n",
       "UAjRXkggFEIIIYRoQgKhEKK9kEAohBBCCNGEBEIhRHshu4wKIYQQQgghRDslFUIhhBBCiCakQiiE\\\n",
       "aC8kEAohhBBCNCGBUAjRXkggFEIIIYRoQgKhEKK9kEAohBBCCNGEBEIhRHshgVAIIYQQogkJhEKI\\\n",
       "9kJ2GRVCCCGEEEKIdkoqhEIIIYQQTUiFUAjRXkggFEIIIYRoQgKhEKK9kEAohBBCCNGEBEIhRHsh\\\n",
       "gVAIIYQQogkJhEKI9kICoRBCCCFEBBL0hBDtgewyKoQQQgghhBDtlFQIhRBCCCGakCmjQoj2QgKh\\\n",
       "EEIIIUQTEgiFEO2FBEIhhBBCiCYkEAoh2gsJhEIIIYQQTUggFEK0FxIIhRBCCCGakEAohGgvJBAK\\\n",
       "IYQQQjQhgVAI0V5I2wkhhBBCCCGEaKekQiiEEEII0YRUCIUQ7YUEQiGEEEKIJiQQCiHaC5kyKoQQ\\\n",
       "QgjRhBoI2/pzpGw2W9jrDQZD2PNut7vZNXr37n283p4QQmgkEAohhBBCNHGiA6Hf7wdAr498K+Zw\\\n",
       "OLTnMzIyANi+fTvz5s07ynckhBCRSSAUQgghhGji5wiEiqIQDAabPed2u7VfB4NBioqKeOSRRwC4\\\n",
       "9NJLj/5NCSFEBBIIhRBCCCFOIeeeey4AaWlp2mOPPvooAIqinIwhCSHOYLKpjBBCCCFEE0ezqcyi\\\n",
       "RYvCHh84cCATJ0484mvv2bMHgGHDhh3xa4UQ4khJIBRCCCGEaOJoAuHChQtZuHBh2HNS0RNCnOok\\\n",
       "EAohhBBCNHE0gXDcuHGMHTtWe3zgwIFHde3c3FzWr1/PqlWrjur1QghxJCQQCiGEEEI0cTSBcOzY\\\n",
       "sTz44IPHfO0lS5bgcDgoKSnRHnvqqafCriWEEMeLBEIhhBBCiCZOdGP6v/3tb1rIAwiFQqSnp9Ot\\\n",
       "Wzd++OEH7XGj0Uh6ejoHDx4E4NNPPz3iawkhRGskEAohhBBC/Mzuv/9+Ghoawh4rKSnRqoIulwuH\\\n",
       "w0EwGNTCYI8ePbjkkkt+9rEKIc5sEgiFEEIIIZo40RVCj8fT6vN2u102pBFC/CwkEAohhBBCRCDr\\\n",
       "9YQQ7YEEQiGEEEKIJk50hVAIIU4VEgiFEEIIIZqQQCiEaC8kEAohhBBCNCGBUAjRXkggFEIIIYRo\\\n",
       "QgKhEKK90J/sAQghhBBCCCGEODmkQiiEEEII0YRUCIUQ7YUEQiGEEEKIJiQQCiHaCwmEQgghhBBN\\\n",
       "SCAUQrQXEgiFEEIIIZqQQCiEaC8kEAohhBBCNCGBUAjRXsguo0IIIYQQQgjRTkmFUAghTmFxcXEE\\\n",
       "g0ECgQCKopCYmMjzzz/P5ZdfjsFgaPW1oVAIr9eLTqfDYrGcVlUMRVEIhUI0NDRQVVVFXl4eK1as\\\n",
       "YPny5Rw4cICamhpqa2upr68nGAxGPIfBYODxxx/n//7v/9Drm//7ZygUoqysjLlz57J69Wp8Ph8W\\\n",
       "i4WCggLWrl1LbW0tiqI0e53ZbCY1NRWdTkdJSQk+n++I359Op8NutzNs2DAuvvhi4uPjWbt2LZ98\\\n",
       "8gnFxcWEQqEjPmckFouFhIQE9Ho9TqcTr9eL1+s9Luc+00mFUAjRXkggFEKIU5jJZEKn06EoCoqi\\\n",
       "EBUVRWxsbJtuQHU6HWaz+YhubE8V6ph1Oh0+n4+DBw+yadMm9uzZQ3V1NX6/n1AohF6vJxQKRQxu\\\n",
       "Op2OmJiYVq/j8/koLy+ntLQUn8+H1WqltraWQCDQ4mtCoRButxudTnfUwU1RFLxeL7t37+aHH34g\\\n",
       "MzOTvLw8Ghoajup8LQkEAlRXV6MoCoFA4LgFzfZAAqEQor2QQCiEEKewzMxMvF4vbrcbvV7PwIED\\\n",
       "yc3NbXMgPFwV8VSm0+nQ6/V4PB42bdrE+vXrOXToEH6/H71ej8ViwWKxUF9fj9frbRYKjUYjHTt2\\\n",
       "bPGzCoVCVFRUsGXLFvbs2UMwGMRiseByufD7/RFDJqCF82MVCAQoKSlh8eLFOBwOfD4fLpfruJxb\\\n",
       "pVaJgeN63vZAAqEQor2QQCiEEKewO++8k4aGBlwuFw6HgxEjRpCZmdkubkDVQKvX6yksLKSyslIL\\\n",
       "fgaDgfT0dMaPH098fDzLly8nPz+fgwcPEggE0Ov1ZGZm0rVr1xbP39DQwMKFC1m1ahUVFRXaeYPB\\\n",
       "IH6/v8XXmUwmsrOziYmJYefOnVRVVR1V5U1RFPx+PzU1NTidToAWq51HQ/0zIkHw6EggFEK0FxII\\\n",
       "hRAtevrpp/nvf//Lzp07iYqKYsSIEfz5z3+me/furb5uzpw5/OEPfyA/P5/c3Fz+/Oc/c+GFF2rP\\\n",
       "K4rCI488wj//+U9qamoYOXIkr776Krm5uSf6LZ12rrnmGu3Xer0ek8kUcT3cmcpgMJCYmEh6eroW\\\n",
       "DgESEhK48847ueaaa3A4HASDQRoaGvjxxx95//33qa6u5oILLiA1NTXieQOBAMuWLeMf//gHxcXF\\\n",
       "2hTRxtNzWxpPbm4us2bNonPnzvz4448888wzFBQUHNP00ZbWQR4Ndc2o1WqloaEhYvVUHJ4EQiFE\\\n",
       "eyGBUAjRoh9++IFf/epXDBkyhEAgwIMPPsgFF1zA9u3bsdvtEV+zYsUKpk2bxtNPP81FF13E+++/\\\n",
       "z5QpU1i/fj19+vQB4JlnnuGll17i7bffJicnhz/84Q9MmDCB7du3Y7Vaf863eMqz2WwnewgnlV6v\\\n",
       "Jz4+niuvvJL9+/ezadMmoqKimDFjBjNmzCAmJgadTofJZMJqtTJhwgTGjBlDfX09oVCIqKgoFEUJ\\\n",
       "q5b5/X5++OEHZs6cSUFBQVgYO1xwio6OZtasWUyaNAmTyUSvXr0YMGAAN910E7t27Trpa/QMBgO9\\\n",
       "e/fmzjvvxOFw8Oabb/LDDz8c1cY3Qggh2gcJhEKIFn399ddhv3/rrbdISUlh3bp1nHvuuRFf8+KL\\\n",
       "LzJx4kR+97vfAfDEE0+wYMECXn75ZV577TUUReGFF17g4Ycf5pJLLgHgnXfeITU1lblz53L11Vef\\\n",
       "2Dd1hlEDzKlaoVA3T/F6vVitVm2TmyNhNpsZOHAgzz77LLt37yYmJoZevXoRHR3d7FxqdcxsNhMK\\\n",
       "hfD7/Xg8Hm0DmMrKSt544w1efvllbbOVtjIYDAwfPpzzzz9f+4cLg8HA4MGDefbZZ7nxxhspKys7\\\n",
       "adU4k8nENddcw7PPPktcXByhUIi+ffty+eWXs2fPHqkSHiGpEAoh2gsJhEKINqutrQV+mq7XkpUr\\\n",
       "V3LvvfeGPTZhwgTmzp0LwP79+ykpKWH8+PHa87GxsQwbNoyVK1e2GAibbpevrrlqz9SdI4PBIHq9\\\n",
       "HoPBcNSbyKjnMRqNx20jmlAoRHFxMW+++SZ79uxhypQp/OIXvziqKrDZbKZTp0506NBBW+vX2tRZ\\\n",
       "dUMav9/P9u3bWbp0KWvXrmXdunUUFhYeVesFs9nMtGnTcDgcYY8bjUbOOeccJk6cyPvvv9/q+sNj\\\n",
       "1dK6QIvFwm9+8xtmzZpFVFQU8L/prTfeeCN//OMfcbvdEgqPgARCIUR7IYFQCNEmoVCIe+65h5Ej\\\n",
       "R2pTPyMpKSlptm4rNTWVkpIS7Xn1sZaOieTpp5/mscceC3vskUceOaL3cKYJhULU19drQT0mJgaH\\\n",
       "w4HR2Pb/aVcUBZfLxfr169m3bx/9+vWjb9++WCyWYxqboiiUl5dz++23s3jxYoLBIBs2bKBfv350\\\n",
       "7ty5xRtodf1epJtxvV6vhcDG6/xauxlvaGjg/fffZ86cOVRVVWntKo6UTqcjPj6eYcOGRQyiNpuN\\\n",
       "q6++ms8++4zq6uojPv/hGAwGzGYzZrMZv9+Pz+cjFAqh0+mIi4vjiSee4Kabbmr2vZlMJqZMmcKC\\\n",
       "BQtYs2YNHo/nuI/tTCWBUAjRXkggFEK0ya9+9Su2bt3KsmXLTsr1H3jggbDKo9PpZPbs2SdlLKcK\\\n",
       "RVHw+XyUlZXhdDpJTk6mY8eOOByOVqtnapgKBAKUlZXx5ptv8t5771FbW0u3bt144YUX6N+//zFt\\\n",
       "XuP3+3n11VdZuHCh1lsvPz+fvXv30rlz54ivCQQC7N69m127dtGrVy+6dOnSYrhV1wL6/X7MZrPW\\\n",
       "rzGSgoICamtrtVYS6sYxh6Mep9PpMBqNDBs2jPT09IjX0ev19O/fn86dO7Nhw4bjtpZQXUM5dOhQ\\\n",
       "Ro8eTVJSEsXFxWzbto3q6mp69OjBLbfcQo8ePSJ+VjqdjqysLO644w4cDgd5eXnHZVzthQQ9IUR7\\\n",
       "IIFQCHFYd955J1988QVLliwhKyur1WPT0tIoLS0Ne6y0tJS0tDTtefWx9PT0sGP69+/f4nnVnnPi\\\n",
       "f9TG8zabDafTidvtxuPxYLPZWgxzal+66upqCgsL+fjjj5kzZw5lZWUEg0G2bNnCZ599Rs+ePbWp\\\n",
       "h0013hXTYDA0u2lWFIXi4mI+/vjjsB0ug8Fgi0EsFAoxb9487rrrLpxOJ7m5uXzwwQd069Yt4k25\\\n",
       "3+9n69atbN26ld69e9OvX79moVCn02Gz2ejbty/Lli3Txqzu1BoIBLRKmzoutb9hbGwsNpsNl8sF\\\n",
       "QI8ePXjggQda3ORHrSBefvnl7N69G7fbrT2url9sKSRG+vx0Oh1Wq5VzzjmHRx99lN69e2O1WtHr\\\n",
       "9QSDQW1X1MOFYfU8w4cPx+FwUFBQEPE40ZxUCIUQ7YUEQiFEixRF4de//jWffvop33//PTk5OYd9\\\n",
       "zfDhw1m4cCH33HOP9tiCBQsYPnw4ADk5OaSlpbFw4UItADqdTlatWsUdd9xxIt7GGUuv12Oz2cjM\\\n",
       "zCQ2NpZQKITVam11Oqbf76eyspJNmzaxefNm1q5dqzVDV19XW1uLz+eLGAjVTWIqKioASExMbHbN\\\n",
       "QCDA1q1btd5+8NMNs91up1OnThHHVltby4MPPkhJSQmKorBjxw4WLVpE165dm61pDIVCHDhwgD/9\\\n",
       "6U9s2bKFgQMH8swzz5CSkoLZbA471mq1cuWVV1JYWEheXh4dO3bk/PPPp2vXruh0OgoKCtiwYQN5\\\n",
       "eXkYDAb69OnDqFGj6NSpExaLRfsskpKSSExMbHV9pdls5pprrmHbtm0sWbKEYDCoTeGtrKykpqYm\\\n",
       "rEqp7o4aFRWlhXiPx0MwGCQ2Npbp06dz1113kZSUFBbwTSZTi2OIxGAwEB8fT58+fejQocMRvVYI\\\n",
       "IcSZTwKhEKJFv/rVr3j//feZN28e0dHR2hq/2NhYLSxcd911ZGZm8vTTTwNw9913M3r0aJ599lkm\\\n",
       "TZrEhx9+yNq1a3n99deBn4LBPffcw5NPPklubq7WdiIjI4MpU6aclPd5ulKnMkZHR2O327U1ZYer\\\n",
       "VhiNRmJiYsjOzmbAgAE0NDRw6NAhFEWhc+fOjBo1CpPJFBYSVYFAgH379vH555/jcrkYM2YMgwYN\\\n",
       "0qapKopCfX09FRUVWkUrFAphNBrp06cPqampEcdXWlpKaWmpVkVTFIWampqIFcWGhgZee+01FixY\\\n",
       "QENDA7W1taxfv55zzjmn2YZHer2ezp07c9999+H3+8nOziY2NlYLdsOGDeOKK64IC66NP8OUlJSI\\\n",
       "n0NL30dmZiZPPfUUmzZtwuVyYTabqaurY+XKlSxZsoTS0lICgQAWi4WMjAyGDx/OqFGj6NKlCwaD\\\n",
       "gdLSUsrKykhLS2Po0KEkJCQcc99JNXja7XbZVOYISIVQCNFeSCAUQrTo1VdfBeC8884Le/zNN9/k\\\n",
       "hhtuAH5an9X4hnXEiBG8//77PPzwwzz44IPk5uYyd+7csI1o7r//ftxuN7fddhs1NTWcc845fP31\\\n",
       "19KD8CioN62NN1tp7Vij0Uh8fDz9+vWjZ8+ejBo1imuuuYbCwkJ8Ph8dO3akW7duzSpt8FNlzul0\\\n",
       "Mm/ePN59911qamr4/PPPmTRpElOmTKFDhw6YTCY8Hg9JSUn069cvbBrrsGHDIp4XfqquWa1W6urq\\\n",
       "UBQFq9VKx44dmx2nVg/ff/997djKykr+85//kJKSwtChQ5sFKJPJRMeOHTGZTBHbXhzuZv5IbvaN\\\n",
       "RiOZmZmkpqYSCATw+/3U1dWRlpaGzWZj8+bNeL1eunXrxqWXXsqwYcOIi4vT1v8Fg0G8Xu9hq71H\\\n",
       "Sq/Xo9PpZFOZIyCBUAjRXkggFEK0qC3VhO+//77ZY1OnTmXq1Kktvkan0/H444/z+OOPH8vwRASH\\\n",
       "uzFV2zWowSwhIYGsrCz69++vVRjV9hWNz6UoCqFQiJKSEhYuXMiBAwfw+XxUVFSQl5fH559/zpgx\\\n",
       "Yxg3bhw5OTmkp6czefJk6urq2LNnD0ajkeLiYsrKyujQoUOzqZepqalMnjyZTz75hGAwyIABAxg8\\\n",
       "eHCzcBcMBnnvvfeorKzUqomBQIBFixbhcDjo3bs3DodD2xAmGAzi9/sxGo2trrU7ntTP2GQyYbFY\\\n",
       "MJlM5ObmUl9fT1xcHH6/n6FDhzJ8+HDi4+PDPgu1fYg6tTQUCh23NiBer5cDBw7QvXv343K+k+mW\\\n",
       "W24hMzPzhF5DAqEQor2QQCiEEO1M041X4KcQ0/gfAFrayGXv3r3s3bsXn8+nbdLidrvZsWMHhYWF\\\n",
       "7N69m5tuuomuXbuSnp5OQkICgUAAp9PJ/Pnzqa6u5qGHHqJ///5h1UKbzcYf//hHRo0aRXV1NaNG\\\n",
       "jaJjx47NAqHf72f16tXateF/LS7mzp1L//79+cUvfoHNZtOmk5pMJtLT03/WTYnUz08N3wkJCdoG\\\n",
       "OT6fj86dO+NwOCKGPTXMOp1ODAYDDocjYmXzSCiKQnV1dcR/wBGRSSAUQrQXEgiFEEIAkW9qG+8Q\\\n",
       "WlNTw/Lly6mpqQnbMVOtxNXV1bF69WrS09OZOHGiFhBramoIBALU19czf/58Vq1axZ///GemTZum\\\n",
       "hUKdTkdycjLXXHONVhWLFJb0er22DrFxgA0EAlRUVPD444/z9ttvY7PZ8Pv9REdHc+GFF3LVVVdh\\\n",
       "t9uP90fWqsZh22azkZGRgcFgoK6ujpiYmFYrfx6Phx9//JH8/Hx69+7NoEGDiImJaXE94eF6MiqK\\\n",
       "wqFDh1i6dOkxvqv2QwKhEKK9kEAohBCiVWqFb8mSJXzzzTc0NDREnE4cCoWoq6tjxYoV+P1+CgoK\\\n",
       "yM/Px+/3a8cEg0HKysp44oknGDduXFgbE3WNY2tMJhMPPPAA27ZtY//+/VqlUA2IZWVllJWVaRvB\\\n",
       "2O12EhMTufLKK3/Wm/amAc1kMhEdHY3BYMDlcmGxWFoNbyUlJbz11lts2bKFlJQUbr31Vi6//HJt\\\n",
       "OmxjjVtaRGoDoo4jEAhQWVl5PN/mGU0CoRCivZBAKIQQIiK18ldbW8vChQt56aWX2Ldvn9YDL5JQ\\\n",
       "KERFRQXr16+nsrISr9cb8bwulyvic4ej1+sZOHAgS5YsYenSpXz33Xds3LiR/fv34/F4qK+v1/oK\\\n",
       "6nQ6Ghoa0Ol0rU4XVQOVXq9vVoFTFIVAIKBtxhIVFXXYtg9qOFNDQuOdS+12O0ajMaz3YVOKorBt\\\n",
       "2zbWrFlDRUUFJSUlzJ49m169ejFgwICw66utROrq6tDpdERHR0fcuEev15OdnU1aWhrbt29vdfxC\\\n",
       "CCHaFwmEQgghWuTz+di0aROvv/46W7ZsabE6qFKbsLvdbnw+X8RjjUYjY8aMIT09/ajGZDAYSE1N\\\n",
       "5fLLL2fKlCk4nU6+/vprFixYwH//+1+tmbwaBAcPHtxiIFTH6vF4iI6ObrazZ11dnXZeg8HANddc\\\n",
       "w3nnndfijrihUEhrdm82m8MqduqGPRaLBa/XSzAY1DagaXqO/Px8nE4nfr+fQCDAnj17+Prrr+nS\\\n",
       "pQvx8fFaRdTn83HgwAHWrFmDyWRixIgR2tTUxvR6PZ06deKOO+5g0aJFR/W5tzdSIRRCtBcSCIUQ\\\n",
       "QrTI7/ezbds29u3bR0NDQ1j1q+kmNDqdDrPZTFxcHOnp6dhsNq26pu5garVaueiii3jppZciNr4/\\\n",
       "EuoU04SEBKZOncoFF1xAbGws7777Li6XC6PRSM+ePRk3blyLU1EVRaGhoQGPx4PD4Wj23Pr163ni\\\n",
       "iSfYs2cPiqKwbt06Xn/9dc4+++xmoUutfKpV1M6dO2vhrennFAwGcblc2Gw2oqKiwoJjKBQK23BG\\\n",
       "Pe8333zDsGHDGDZsGFarFa/Xy7Zt23jzzTfZsGED0dHReDyeFqeWWq1WJk2adEyfeXsigVAI0V5I\\\n",
       "IBRCCNEidZdLq9WK0WhEUZSIVT+9Xo/VaqVDhw6MHz+egQMHEgqF2L59O1u3bsXj8dCzZ0+mT5/O\\\n",
       "wIEDjzkMNmUymUhMTOSxxx5j4MCBzJ07F4PBwPTp0+nYsWOLN+x6vZ7o6GhsNlvEnTzLysooLS3F\\\n",
       "6/WiKAp5eXk899xz/P3vfyclJSWs/2NNTQ3/+c9/+PDDD1EUhWnTpjFt2rSIQbOkpIRly5YBcNZZ\\\n",
       "Z5Gbm4vdbtdCyKBBg8jJyWH79u0EAgECgQA7d+7k2Wef5dJLL6VDhw7s3buXTz/9lG3btuH1erHb\\\n",
       "7SxevJhzzz0Xm83WLLDqdLrj/rmfySQQCiHaCwmEQgjRDh1uV0r1OYvFwtlnn81ll13GwoULKSkp\\\n",
       "0aY7quvgDAYD8fHxDBo0iKuuuoqhQ4cSGxurtbJQ1+eZTKYWNz05HnQ6HTExMVx99dVMnDgRr9dL\\\n",
       "XFxcq+sHG68vjDSunJwc4uLiqKioIBQK4ff7WbJkCa+++ip33HEHCQkJWtuL559/nnfffZeamhp0\\\n",
       "Oh2FhYX07t2bs88+O2xaqMfj4b333uO9996jvr6e1NRUrr/+eq699lqtL2HPnj35/e9/z1NPPaW1\\\n",
       "+VA37Nm2bRuxsbG43W6qq6vxer1addblclFTU0NWVtZx61/YXkkgFEK0FxIIhRCiHaqrq6OhoYG4\\\n",
       "uLiIm5CojEYjnTt35u6772batGmUl5dTUlJCXl4eeXl51NTUkJSUxKhRozj33HNJS0s75p55x0IN\\\n",
       "RsnJyVrobalVQ+PXtKRTp05MnjyZN998k5qaGq0/4D/+8Q927NjBhAkTCAaDzJ07l6VLl+J2u7Xr\\\n",
       "FhQU8NZbbzFw4EBtzaGiKOTn5/P2229TVFREKBSisrKSv//97/Tp04fzzjsPk8mE3W5n8uTJxMfH\\\n",
       "8/DDD7Nlyxa8Xi8ejwev10tVVZU2bVftdZiSkkKvXr2IiooK21hHHB0JhEKI9kICoRBCtDOKovDt\\\n",
       "t9+yc+dOrrzySnJzc1u8oVUraMnJyVrICgaD1NfXU1JSQlVVFQkJCWRlZWGz2Q4bvn4uR3Iz35Qa\\\n",
       "6BRFwW63c+211+LxePj000+pqKjQeh5+9tlnLFiwAPip6td0E51AIMCaNWuoqanReicGg0F+/PFH\\\n",
       "ysrKtJYZwWCQ8vJyioqKwsYdFRXF6NGjeeyxx5g5cyaFhYVaZTYYDGKxWLDZbMTFxdG1a1fOO+88\\\n",
       "zj33XJKTk9Hr9S0GwtY2BTpdvPrqq5SVlZ3sYQghxBlBAqEQQrQzoVCIBQsWsGvXLnr27Ennzp1b\\\n",
       "7f/XNFwZDAaMRiNRUVFkZWVhMpmOuCr4c1av2jI9Vj0uEAjg9XrD2lB07NiRu+++m+TkZP75z39S\\\n",
       "UlJCMBjE5/Ph8/maXacxt9tNSUmJFtKCwaA2/bQxk8kUcXdQs9nM6NGjufXWW/nLX/6itZew2+10\\\n",
       "796dMWPGcO6559K9e3fi4+OxWCwYjcYTOjW3vZAKoRCivZBAKIQQ7VBmZiYNDQ1kZmYe1c1s4zWB\\\n",
       "er2+TedQd/QsLi6mpqaGuLg4kpOTtV02Gx8Hx1bla3wutapmNBpbrWAGAgF2797Nd999R3l5OZ07\\\n",
       "d+YXv/gFsbGxZGRkcM0117B161Y+//zziL0Ym+4majabiYmJobq6Gr/fj8lkQlEUcnNziYmJoaqq\\\n",
       "CkVRMJlM9OnTh379+kV8v1arleuvv54DBw7w/fffYzKZGDVqFNdccw29evXSGt5LKDm+JBAKIdoL\\\n",
       "CYRCCNHO6PV6rr32Wurr68nJyTnqzUda2nG0JVVVVdx777189dVXeL1eYmNjOeecc7juuuvo27cv\\\n",
       "drudYDCoNYF3OBxaI/ejveEOBAKUlZVRU1NDWloa8fHxEUOhoihUVlby17/+la+++gqPx4Pdbsdi\\\n",
       "sTBp0iSioqJISkpi6NChfPPNN9quoyq1BYbVasVms2G324mLi6NPnz7a2j81tA0ePJipU6cyf/58\\\n",
       "Ghoa6Ny5M7NmzSIpKSni+9TpdCQnJ3P//fdz6aWX4nA46NKlCwkJCZhMJgkjJ4gEQiFEeyGBUAgh\\\n",
       "2hmdTkfHjh2Bw2+40hK1KbrX69VaNrTG5/Px0EMP8cEHH+D3+4GfNrb5z3/+w/fff8+AAQPo1asX\\\n",
       "er2eyspKvF4vSUlJDBw4kEGDBpGRkYHVatXWxgUCAa35u8lkivg+QqEQRUVFvPTSS2zevJkhQ4Zw\\\n",
       "1113kZaW1uwGPhQKsW7dOr755httSqfL5WL27NkMGjSIDh06AGCz2SJOrzUYDOTm5nLbbbcxdOhQ\\\n",
       "7X3U1tZiMpmor6/XKqGpqan8/ve/56KLLsLtdtOzZ0+6du3a6rRdo9FIdna2Nq1UDZcSRE4cCYRC\\\n",
       "iPZCAqEQQrRDbQ2CTatg6mMej4ddu3ZRUlJC3759ycjIaPGciqKwffv2sDCoPu73+ykpKWHBggUs\\\n",
       "WbIEk8mkbZqi7qAZFRVFcnIynTp1IiUlBb/fT2lpKR6Ph06dOnHLLbdw9tlnNwuGDQ0N/POf/+TN\\\n",
       "N9/E7XazcuVKtmzZwr/+9S9SUlLCbuK9Xi+fffYZVVVV2mYviqKwb98+Dhw4QFpaGj6fD6fT2Wz9\\\n",
       "n06nIzExkUcffZRJkyZpbSw8Ho+28Y7H4yEQCGAwGDCbzWRkZJCSkgL8FPYOVwVVK5Amk6lN35s4\\\n",
       "dhIIhRDthQRCIYQQEYVCIS38qDfHahhct24db7zxBtXV1Vx++eVcccUV2O32iOdxOp3cd999uFyu\\\n",
       "iM+rwVBdl6deR32urq6O8vJytm/fHnbjrSgKK1euZP78+TzyyCNcdNFF5OTkoNfrCYVC5Ofn8/77\\\n",
       "71NbW6td45tvvmHGjBl88MEHJCYmotPpCIVCFBQU8OOPP2phUB1HdHQ00dHRAPj9fqqrq5sdYzKZ\\\n",
       "GDZsGGPGjCEqKkobo81m03YXDQQC+Hw+LbSqVb7Gn21Ln436nIQOIYQQJ8KpsT+4EEKIE0pd79eW\\\n",
       "NX/qlEyPx4PL5cLtdtPQ0EB9fT1lZWV8++23PPnkkyxYsICNGzeyYsWKiJWzUChEWVkZv/zlL1m6\\\n",
       "dGmz51sao9pDr/FYGz+n/qgbxtTU1PDEE09w9913U1RUhNfrxe128+WXX1JSUtKsFcT333/P7bff\\\n",
       "zsGDB6mvr6eyspL58+dTUVEBoAW2qKgobrnlFrp3747VatWql/C/EKfX64mLi2PKlClER0eHhTa1\\\n",
       "uhkXF4fRaMTtduPxePD7/WHnafr9hEIh/H4/Pp9Pe5/H6ki+f/ET9Ttu648QQpyupEIohBBnOLVF\\\n",
       "gt/v15qYR9qMRA0jDQ0NlJeXa2vpzGYziqJQUlLCokWL+OKLLygsLCQQCGC328OCixo4AoEAmzZt\\\n",
       "4pZbbmHbtm0Rd+U8XhRFoba2lhUrVvDhhx9yySWXUFVVxZdffhk2RVUVCASYP38+gUCAyy67DJfL\\\n",
       "xbfffkswGMRms2EymcjOzubKK6/k1ltvxWazAT9V/LKzs3E4HNqmMna7nXPOOYdzzjmnxbWFdrsd\\\n",
       "r9dLWVkZJSUlxMXFER8fj8PhCPse1ICrbkJjNBpxOByHnd57uBYejQO+x+MhNTX1SD7edu1EBb39\\\n",
       "+/fTuXPnZo+7XK4WK+1CCHGiSCAUQogzmFpB27FjB3l5eeh0OrKzs+nVq5e2g6d6nMvlYt++faxc\\\n",
       "uZLdu3cDkJycTExMDGVlZaxcuZJt27bhcrkIBoPaBi+5ublh1bFQKMShQ4e4++672bp1a9gUyxNF\\\n",
       "bWnx1VdfAVBUVMTOnTtbrIh5vV6+++47du7cid1ux+1243A46NatGxdffDGXX345mZmZYZvlWK1W\\\n",
       "xo0bx+bNm1mzZg1Wq5XzzjuPadOmkZWVFTG4qVNKbTYblZWVLFmyBJfLRa9evRgxYgRZWVlYLBZt\\\n",
       "6qrX66Wurg6Px6N9pq2FksZV19amnZaVlfHxxx/zww8/MHfu3LZ8pO3eiVxDqIZBo9HIoEGDWLNm\\\n",
       "DaFQCIfDIVVcIcTPTgKhEEKcoRRFwe12s3r1aj755BO2b9+Oy+XCbDaTm5tL586dSU1NJRgMUlBQ\\\n",
       "wKZNm9i3bx8ulwudTkd8fDw5OTnExcWRl5fH7t27cbvdWghR/9unTx+ioqK0QKTT6fB6vZSUlESc\\\n",
       "Jtp4jWBL1E1U1PV3rU03VaduGgwGioqKmDdvntZqoqXrqGsh8/PzMZvN2Gw2unTpwi233MLFF19M\\\n",
       "TExMs4BnMBjo2rUrTzzxBHV1dVprCYvF0mofQHXqqMFgYP369ezdu5fVq1dTXV3NJZdcQnp6Okaj\\\n",
       "UauwGgwGbDYbNput1ZYgakVRfU1Lx/p8Pv7xj3/w8ssvU1dX1+L5RLifY1OZxhVsmXYqhDhZJBAK\\\n",
       "IcQprHGT9iMVCAQoLCzku+++Y+3atZSUlODxeAgGg+zatUsLMeqU0kAgoF1PDUPZ2dkYjUYaGhrw\\\n",
       "er1hwUydYpqSkhI2XVKv15OVlcXEiRN544038Hq92uNmsxmLxYLX6212PpXJZKJHjx5Mnz6dmJgY\\\n",
       "5syZw/Lly/H5fM2OVStwDocDs9mMx+Nh9+7duFyuiMc3prbOCAaD6HQ60tLSOOeccyKGQfVaZrOZ\\\n",
       "tLS0iK0rWqKOMTs7m6ioKFwuF16vl23btnHuuedqG8+o51e/F4vF0up0UbWiGAqFtJYckcZUWlrK\\\n",
       "7NmzWw3IormjCYSLFi0Ke3zgwIFMnDixxdf17NmTHTt2kJGRcfQDFUKIYySBUAghTmHV1dUYDAYs\\\n",
       "Fgtms/mI2kU0NDSwc+dO9u7di9PpxOv1art5Nt5kpKXNRkwmE4MHD6ZPnz7AT+uemoYsv98f8bVR\\\n",
       "UVE8+eSTJCQk8PHHH+PxeOjYsSMXXHABPXr04ODBg3z44Yds3rxZW4+n0+mw2Wxce+21PPbYYyQk\\\n",
       "JKDT6bj88su55pprWLx4cbMpkna7na5duxIXF4fH46GwsJC6ujp8Pp/2vtQKYuPpsWplDf63m2pa\\\n",
       "WhqJiYmtfsZHW8XR6/VkZGRw0UUXcfDgQTweD7GxsVpfQzUEKoqirSs83HcdCoVwu934fD4MBkPE\\\n",
       "1hWKorBhwwYqKiokDB6howmECxcuZOHChWHPRfrcS0tLSU1NZefOnc12zhVCiJ+bBEIhhDiFzZ49\\\n",
       "G7vdTrdu3TjrrLNITExsdRqhSq1+eTweLVAajUZtYxk1ELU0FVOn09G9e3euv/560tPT6dWrF5s3\\\n",
       "b2b79u1hN61+v5/KysqIr4+Pj+cPf/gDM2fOpL6+npiYGKKjo7XpkTNmzODLL7/kjTfe4NChQ2Rn\\\n",
       "Z/Ob3/yG888/H6vVqp0rOTmZRx99lFWrVoW1rnA4HEyfPp3JkydTVVXFtm3b+OCDD7T31rja6XA4\\\n",
       "6NSpE/Hx8Rw6dIhDhw7h8Xi0wGi32xkwYEDYdSN9pup7O9xnH+kYq9XK5MmTsdvt7NmzhwEDBpCe\\\n",
       "nq5VBSN9hq0JhUJ4PB7cbjc2m63Fse/cufNnWccpYNy4cYwdO1b7/cCBAyMel5aWBvz0HWdmZnLw\\\n",
       "4EHt9xIKhRA/NwmEQghxCvvwww8xm8106NCBq666igkTJuBwOA77OrXaNmTIEBRFISEhgW3btlFZ\\\n",
       "WakFJpfLhdPp1KppKr1eT4cOHfjHP/5Bbm4uer2e+Ph45s2bx3nnnafdvMJP1baNGzdy4YUXRgww\\\n",
       "ZrOZ9PT0iGNMTk7m+uuv57rrrtNCVKRz6HQ6hg0bxgMPPMBf/vIXvF4vPXr04K233qJnz54YDAa8\\\n",
       "Xi9jxoxh3759fPHFFwQCAe18UVFRjB8/nt///vd07twZnU5HcXExCxcuZNWqVRgMBiZOnMiECRMi\\\n",
       "Nn4PhULU1dVx8OBBoqKiSE9Px2q1HnG1UA3Jl156qTZNtbW1h4ejBv26ujoaGhoIBoMRg2VmZqas\\\n",
       "TzsKR1MhHDt2LA8++OBhj29cnW56DiGE+LlJIBRCiFNYXFwcVquVxMRE7Hb7Ed2gms1mMjIyOPvs\\\n",
       "szGbzURFRVFYWEhMTAwjRozAZrOxY8cOvvvuO/bu3Ut9fT06nY6UlBSeeuopOnfuHLZRTKdOnXjo\\\n",
       "oYe45557tHWBgNa/72i15cbbZDIxc+ZM0tPTqa6uZsqUKXTs2FELQFarlZSUFKZPn87atWspKirS\\\n",
       "WmZ069aNm266id69e2tBLj4+nm7dunHzzTcTCAQwmUwtrtnz+/1s2LCBt956i7q6On7xi19w+eWX\\\n",
       "ExcX12KAbY1er2/z1N/DnSc6OlqbxqsG/cbX1+l0jBw5ktjYWKqqqo75mu3Jz7GpjBBCnAokEAoh\\\n",
       "xClszJgx2Gw2OnfuTI8ePcLaIByOXq/HarWSlJREx44d2bdvHw0NDeTk5HDxxRdra/QefPBBDh06\\\n",
       "xObNm3G5XAwYMICePXs2q5YZDAamT5/Of//7XxYtWqS1nrBYLMf7bUcUGxvLjBkzwtbZqdRdSUeN\\\n",
       "GsUvf/lL/vvf/9LQ0ECvXr244YYbGDlyJFFRUWGvMZlM2ntsrZdfIBBg69atrFq1ivLycrZs2UJD\\\n",
       "QwM33XST1qPwZFC/37i4OLxeL8FgkFAo1KxKmJ2dzaxZs3jiiSeora09SaM9/fwcgdBkMmltJ4QQ\\\n",
       "4mSRQCiEEKewSy65BIvFQmxsLHFxcRGbn7dG3Zykvr6evXv3snfvXq2hutr/zmKx0L17d3Jzc7XX\\\n",
       "tHSD63A4eOGFF5g8eTKFhYXYbDbOOuusY36fbX0vkaZ0Nn4+JiaGm266iUmTJmEwGEhJSSEmJibi\\\n",
       "hitNX9sSvV6vrd30+XyUl5fz+eefc9FFF9GxY8cTVh1qy5pFg8GgBd1QKKSF9KbB94477mDs2LH8\\\n",
       "+OOPJ2SsZ6ITGQj/+te/ct999xEIBFi1apX2+Pfff39E5xFCiONBAqEQQpzCunbtqlW/Wltv1ngN\\\n",
       "YOONKRRFob6+nh9//JHvv/+eiooK8vLyeOihh4iJiQk7R1umMep0OnJzc3n88cd5/vnnSUtLY/jw\\\n",
       "4afMlDl1vaNa/TweUzPNZjODBw9m1KhRfPvtt9pGPY13Rz3eGu/+qgaTlqanGo1GTCYTfr8fv98f\\\n",
       "sSeh2WymT58+9O7d+7iP9Ux1IgPhb3/7W377298ezbCEEOK4k0AohBCnsMYtCCKFm6Y7hUa6MVV7\\\n",
       "81VVVWmbjxw4cOCoq1sGg4H+/fszcuRIMjMziY+PP+mBsHEAVitkx2tMOp2OhIQEBg0axK5du6io\\\n",
       "qCAjI0OrsJ4o6nerfv+Hq2KqjeojVQnV93GyvychhBCnHgmEQghxClOniEbqL+f1eiktLaWkpESb\\\n",
       "HpmQkKA1KVePq6urY9OmTbhcLoLBIIFAgFdffZWzzz671TYLLdHpdGRkZDBjxgySkpLatOvpiaAG\\\n",
       "oPr6epxOJ4qiEB0dTXR09HGpDKr0ej2xsbFcdNFFpKamsm/fPrp160Z8fPxxu0Yk6vsLhUJaH8VI\\\n",
       "/zCgBr1QKER9fT1+v5+YmJhWp9eKw5NNZYQQ7YUEQiGEOIVFutFUQ97777/PW2+9RXl5OdHR0Qwe\\\n",
       "PJhrrrmGwYMHY7fb0ev1GAwGHA6HFizU1y9fvpza2tqjCoR+vx+Xy4Xdbm9zX8TjRa0EBgIBqqur\\\n",
       "WbBgAW+//TYHDx7EarVy9dVXc8cddxAdHd2mc6n9+Q6386fBYCApKYlRo0Zx1llnYbFYiIqKOuz5\\\n",
       "Q6FQs5YabQ0a6tRfr9er7SSqXlcNh+p11OOKioq0jYPS09OPeM2p+B8JhEKI9kL+n0IIIU4zgUCA\\\n",
       "+fPn88QTT1BeXq7tLFlYWIjT6eSJJ56gS5cuwE9BJzU1lSFDhrBjxw4CgQAADQ0NNDQ0HNF1Q6EQ\\\n",
       "1dXVLF68mI0bN9K7d2+ysrKOy81w4ymf6n9DoRCBQACv14vf79eCT0NDA/v37+eTTz5h7ty5lJWV\\\n",
       "adMk//73vzNy5EiGDx9+2CphIBDA7XbT0NBAVFQUdru9xQCl9gyMjo7GarUedu2goij4fD6tYqfX\\\n",
       "67VdTU0mU5s2uVF//H4/JSUllJaWApCenk5mZiZ2ux2DwaBdq7S0lEWLFrF582a6devGjTfeSHZ2\\\n",
       "9nGtlrYnEgiFEO2FBEIhhDiNKIpCbW0tc+bMoaqqSgt4aqP5LVu2UF5erm1GA2Cz2bj33nv57rvv\\\n",
       "OHjwIIqikJWV1WxTmdaEQiE2bdrEzJkz2b59OwBDhw5l1KhRREdHH9MNsTqNNRAIEAqFtKmPhYWF\\\n",
       "LF26lBUrVmjTYmNjY7Hb7dTV1ZGXl0dtba1WhQuFQtTU1LBo0SIGDx7cajuMYDCIy+XiwIEDVFRU\\\n",
       "EBsbS+fOnYmLi2ux4qmu5TOZTFq1tel6PUVRCAQC1NfXU1paysGDB6mrq8NsNpOQkEBKSgpJSUnY\\\n",
       "bLbDNqVXr6coClVVVWzatImSkhLi4+MZMGAAvXr1Ii4uDoDS0lK+/PJL/v3vf1NUVMTixYupra3l\\\n",
       "scceO6LvWfyPBEIhRHshgVAIIU4jaujx+XwYjUatcqbevFoslmYBTa/X0717d/7xj39w3333UVFR\\\n",
       "waxZs44oKFRVVXHzzTezefNmgsEgOp2OjRs3UlxcTGZm5lG/n2AwiNPppKysjIaGBq0CmJ+fzzff\\\n",
       "fMMPP/xAWVkZfr8fnU6H2WwmLi6OpKQkYmJitLCkvtZut1NQUEB5eTmZmZktTrlVw/Pq1auprKwk\\\n",
       "NTUVk8mEw+FodQps451LA4EAfr8fn8+Hx+Ohrq6OqqoqysrKOHToEEVFRVpot9vtpKen06tXL3r1\\\n",
       "6kVaWpq21rOlMTZuO+H3+6moqGDnzp00NDSwY8cOBg8eTI8ePQiFQixfvpyPP/6YwsJC/H4/TqeT\\\n",
       "Dz/8kAkTJjBu3LjDViRFcxIIhRDthQRCIYQ4hTXeQVSdGmgwGBg3bhyVlZXk5+fj8XhQFIWYmBgm\\\n",
       "TJhAp06dmk0TNBqNjB8/ni+++ILS0lL69+/f5rV/iqKwf/9+9u7dq625UxRFC0HHwu/3U1BQwMaN\\\n",
       "G2loaNAavR88eJCSkhLq6+sJBAJaCA0Gg1oLhbPPPpv4+HhqamrYvXs35eXllJWV4XQ6+f7775k0\\\n",
       "aRJxcXHNbtY9Hg9Lly7lnXfeYe/evYRCIbKyskhLS6Nr166tVhYhPBTW1dWxfv165s+fz9q1a6mq\\\n",
       "qtLGaLVaMZvNmEwmoqKiOHToEC6XS9sgJjExEbPZrK0VVIO9GhIbr0FUr3Xo0CEqKyvZs2cPW7Zs\\\n",
       "ITk5Ga/Xy759+6ioqAirGFdWVvLWW2/Ru3dvUlJS0Ov1hEKhw74/IYQQ7YsEQiGEOIVVVlZqgcZg\\\n",
       "MKDX64mLi2Pq1KmMGDGCLVu2sHXrVpxOJz179mTq1KktbqhiNBrp2LEj2dnZR7QRjE6nIyoqKmzX\\\n",
       "Sp1Oh9VqJTk5ucXXtaWxeigUwul0UlJSgs/nIz09ndTUVGJjYzEYDASDQbZt24bL5UKn05GcnMwv\\\n",
       "fvELrr32WnJzc7FYLNomO5WVlcyfP58FCxbw2muvsXv3bu68806Sk5O1MQSDQfbt28dLL73E2rVr\\\n",
       "aWhoQKfTUV5eTo8ePbjgggva1FtQXVMYCoVYtWoV8+fPp6ysjEAgoE0rdTgcOBwOLBYLTqeT6upq\\\n",
       "ampqcLvdeDweunfvjs1mw+PxUFhYyKFDh7BarXTt2pWsrCyioqK0inBxcTEFBQWUlpZSW1tLMBik\\\n",
       "vLycvLw8bUMZNayrgsEgGzZsYPny5QwePBiDwYDP56N79+6H/c6FVAiFEO2HBEIhhDiFPf/881gs\\\n",
       "FtLS0hg4cCBdunTB4XAQExNDWloaffv2xeVy4fV6cTgch225oAaZI9WpUyfOP/985s2bh8/nw2Qy\\\n",
       "cd555x11L0OVWilLS0tDr9fTrVs3srOzsdlsjBw5kosvvphNmzZpU1XPOussRo4cSVpamtajUVEU\\\n",
       "LBYLMTEx9O3bl/fee499+/axZcsWdu3axSuvvEJCQgLw0zTPlStXsmHDBpxOp1aBDQQCbNiwQdvN\\\n",
       "sy0MBgM2mw1FUXC73WEb36hr/wwGA4FAAI/Hg8/no6SkhKKiIvLz8+nTpw8mk4mdO3eyfv16Kioq\\\n",
       "AEhOTmbEiBGce+65pKSkUFZWxuLFi9m6dStVVVXadeB/QaRxJVmlKAo1NTV8//33BAIBrFYroVCI\\\n",
       "Hj16HPX3daq45ZZbjmmqcltIIBRCtBcSCIUQ4hT2zjvvYDab6dKlC4mJifTo0UMLQvBTKFFv9A/X\\\n",
       "OuFY2O12nnvuOXJyclizZg19+vThnnvuOeYehEajkZSUFPr06UNUVFTY7pkA8fHxdO3alYsvvphg\\\n",
       "MIjRaMRsNoe9TzXkms1mkpKSqKmp0abRfvbZZ/Tp04ff/va3WCwWbf2d2pNRFQgEtPV3RxIC7HY7\\\n",
       "ffv2JSoqitraWi2oqWHRZrPhdrupq6vTxlRTU0NFRQV79+4FoLi4mNraWm26Z3V1NYWFhSxfvpwu\\\n",
       "Xbrg9/vZtWuXVkVVrwGE/ToSj8fD5s2b0el0JCYmnrSekacjCYRCiPZCAqEQp7n9+/ezdOlSDhw4\\\n",
       "QH19PcnJyQwYMIDhw4cfVY85cWqpq6vDZDLhdruJjY3FarWG3Xw2bk/QVm2ZytmUTqcjPT2dRx99\\\n",
       "FK/Xi9lsxmKxHHaXzLac12azkZGREbH1g7qmri399PR6PXa7nYaGBq1i5vV6eeutt7jsssvIycnB\\\n",
       "7XZTWFiohS+VOu3ySAO1yWRiyJAh9OjRg6qqKnw+H3q9HrPZTExMDHa7nerqajwej1bZ8/v9BAIB\\\n",
       "re2Hx+MhEAho30swGMTtdrN//34qKirQ6XQ4nc5mYfBw1PeUl5eH1+slPT2dlJSUI3p/7Z0EPSFE\\\n",
       "eyCBUIjT1L///W9efPFF1q5dS2pqqnZDXVVVxb59+7BarUyfPp3f//73dOzY8WQPVxylHj16kJSU\\\n",
       "xBVXXMHQoUNbDEZquwZ1nWEkiqLgdDrZsGEDNTU19O3bl8zMzGYVt5aou5ge701J9Ho9UVFRWK3W\\\n",
       "Y2pyr9PpMJlMYdM+FUWhuLiYTz/9lKuuuooDBw6wZcuWZuvt4KdpsfHx8Ud8zaysLO655x6Ki4s5\\\n",
       "cOAAoVBIa01RU1NDdXU1fr8/bFqn2gMRCNs4pvG4fT4ftbW12i6jRxIGVerupE6nk4KCAmlBcQSk\\\n",
       "QiiEaC8kEApxGhowYABms5kbbriBTz75hOzs7LDnvV4vK1eu5MMPP2Tw4MG88sorTJ069SSNVhyL\\\n",
       "3/zmNyQkJNC7d2/sdnvEG0+1ouR2u7HZbBFbJ6hh8KWXXuKNN97A4/HQp08fZs6cyejRo4mJiTlp\\\n",
       "rQlCoRA+nw+z2XzM51J3JW16/r1795KXl6et1WsarvR6PWPGjGkWdoPB4GGDtl6vJzExUdshVe2j\\\n",
       "WFxcTCgUwuPxNFvjp+4gqv66Na09r4aWxm0qIl3H5/MRCoXwer2tXksIIUT7I4FQiNPQn/70JyZM\\\n",
       "mNDi8xaLhfPOO4/zzjuPP/7xj+Tn5/98gxPH1dixYzEajdhsthYDidq6IT8/n/T0dLp164bD4QgL\\\n",
       "d36/ny+++IIXXniBmpoaFEVh+fLlVFZWUllZyfnnn09KSgoWi+WYqnRHSu07WF5eDtBsSuyRnisv\\\n",
       "Lw+/3x/2uF6vx+l0sm/fPjZv3qxN1WzMYrEwbty4sM9YURTKy8upq6sjNTUVh8MR8Tvw+/1s3LiR\\\n",
       "oqIibbdPv9+v9UaMtOFL42u0pHFj+paeN5vNREdHU19fr61RjHQNRVEIBoNHtGlOeycVQiFEe3Fi\\\n",
       "dh8QQpxQrYXBphITExk0aNAJHI04kaKiorSQ1lID81AohMvlory8nMrKSrxeb7P+hV6vl2XLluFy\\\n",
       "ubQpin6/n+LiYtatW8eBAwdwOp3NpjaeaIqiaNW06urqiFM52yoUClFYWNhs/GpfP4/Hg8vlihia\\\n",
       "rFZrs/V1iqJw4MABNm3aRGlpacSxKYpCbW0ty5Yt09pBqN+JWl08mqme8L9A2FLY0Ov1JCUl0a9f\\\n",
       "P9LT01sM8o3XmR7tWNqjxp9bW36EEOJ0JRVCIc4QZWVllJWVNbsZ7tev30kakTge1MblLd1w6nQ6\\\n",
       "jEYjSUlJpKamYrPZtBCi3vyHQiEOHjzI4sWLw6pnag/AtWvXkpGRQSAQIDc3l+TkZCwWywnbsbQx\\\n",
       "n8/HmjVr+O9//0vXrl257bbbSEtLazH8Nn7fjQWDQVwuFwsWLAj7O6D2UExKStKmfTZ9Xzqdji5d\\\n",
       "upCamhp23vr6ep5//nn27t3LWWedxd13363t8qpes7CwkPvvv5/58+drFcG2aPydRnqNul4zJiaG\\\n",
       "hoYGAoFAWCDV6/V07tyZv/71r/Tv35+CggJ++9vfsm7dumbHmUwmTCaTVm2UKmHbSIVQCNFeSCAU\\\n",
       "4jS3bt06rr/+enbs2BG2e6TaXPtYKi7i5Gu6RizSjafJZCI7O5ukpCQURWk27VJtqeByuZq9Vm3X\\\n",
       "EAgEqKmpoby8HIvFQnx8fFh7ixMhGAxy8OBBXn/9ddasWYPNZsNqtXLnnXdis9nCApPX69Wmb8bE\\\n",
       "xJCQkKBthhMKhaisrGTr1q1s3rw5LGAZDAZSU1Pp168fHTp0oKioiNWrV9PQ0EAwGNSmXY4ZMyZs\\\n",
       "V95QKMT+/ftZvHgxLpeL/fv3U1BQwIwZM+jZsydut5uvvvqKDz/8kEOHDh3R3zO9Xo/FYsFkMuH1\\\n",
       "epvtHqrT6XA4HHTv3p0OHTpQUFDA7t27cbvd2nrGjIwMXnzxRcaOHYvZbCYjI4O33nqLW265hY0b\\\n",
       "NxIIBLBYLGRkZNC7d29SU1Pxer1UVlYyb9684/DtnfkkEAoh2gsJhEKc5m666Sa6devGv/71r2YV\\\n",
       "DnH6a/x9thQK1WpSpE1ZFEUhEAjg9XqJiYmhrKyMQCCATqfDarXSo0cPpkyZwuDBg4mPj8dsNlNf\\\n",
       "X6/t+Hms6wkbVyqbVsU8Hg///e9/WbVqFU6nE6fTyeuvv06/fv0YM2YMZrMZRVG0yt+//vUvCgoK\\\n",
       "iI+PZ+TIkYwbN46srCz8fj9Lly5lxYoVVFVVhV3ParVy9tlnM2LECOLj44mKimLbtm0sW7YMj8eD\\\n",
       "TqfTGsE3fq9+v58lS5ZQW1uL3+/H6/WyfPlyNmzYgF6vp76+XguVR0Kv1xMfH8/EiRPp168fu3fv\\\n",
       "ZsGCBZSWlhIIBDAYDCQlJXHhhRdy0UUXERcXx549e5g7dy6bNm3C4/GQlpbGb3/7W0aPHq1tgmM0\\\n",
       "GunWrRuvv/46s2fPpri4mGHDhjFu3DhtJ9lgMIjX65VA2EYSCIUQ7YUEQiFOc3l5eXzyySd07dr1\\\n",
       "ZA9FnABNA9mR9v1TNxOxWq3k5uZSXV2N2+0mISGB8ePHc+ONN9K9e3etuX19fT1ut5uamhqtr19L\\\n",
       "U0eDwaDWQ89qtWrTElWBQACXy4XT6cRkMhETE6P1LgwEAuzatYuPP/6Yuro6rW1GaWkp7777Lmlp\\\n",
       "aWRlZVFfX8/ChQt54YUX2Ldvn9Y4ftu2bXz55Zd07twZvV5PXl4eFRUV2i6aarP6jh07Mn36dHJz\\\n",
       "c7Ux3HDDDVRWVrJ37170ej3du3cnMzNT+7zgp96AGzZs0NYEqlVKr9fb4o6ebWEymbj66qt5+OGH\\\n",
       "iY+P197zd999x+rVq3E4HJx33nkMGDCAuLg4dDodvXr1YuDAgWzZsgWn00m/fv0YMGAAUVFRYec2\\\n",
       "GAzk5uby+9//nkAgQHx8PFartdk6xDNhHeGrr75KWVnZCb2GBEIhRHshgVCI09y4cePYtGmTBMIz\\\n",
       "1PFYx6f2xcvNzdVaIFx11VVceOGFpKSkaL0NQ6EQer2e2tpaDh48SF1dHTk5OWHTN1WBQIBNmzbx\\\n",
       "zjvvUFNTw/Dhwxk/fjxpaWkYjUYaGhrYtm0b//73v9m8eTMOh4OxY8cyfvx4kpOTqa6u5t133yUv\\\n",
       "L09b86dOjT1w4ADffPMNqampbN26lS+//JL8/HxtaqVOp8PtdpOfn09JSYlWbQwGg9o0UJ1OR1xc\\\n",
       "HLfccgtDhgzR3oPRaGT06NEcOnSITz/9FI/HQ48ePbBYLGFrLxsaGvB6vRHX+h1uZ9DWjomJieHG\\\n",
       "G28kJSVF+247derEjTfeyPTp0wkGgxiNRq0FiLoGMjY2lh49egA/VQNbms5rNBpJTEzUArEEFSGE\\\n",
       "EIcjgVCI09zs2bO5/vrr2bp1K3369NE2vFBdfPHFJ2lk4lSh9p9T15olJyczduxYUlJSwv686PV6\\\n",
       "DAYDlZWV/PDDD5hMJiZNmkTPnj3DjlMUhb1793LzzTeza9cuFEXh66+/Zvny5VxzzTUkJSWxZcsW\\\n",
       "/vnPf7J582YtWK1YsYI5c+YwZMgQPB4PS5cupb6+XgtPBoOB2NhYHA4H27dv59tvv2X79u1aY/fG\\\n",
       "1KmwbrebYDBIIBAImyqqtpGYNm1aWP9Gg8FAQkICEyZMoKGhgYKCArp27Yper9fCWCgUQqfT0aNH\\\n",
       "D6Kjo7Wwqe4cGonRaCQuLo7ExESqq6uprKxsdqxOpyM1NVWrajZmMBiIiopqcYMZdXOY1gJe489R\\\n",
       "dr48dlIhFEK0FxIIhTjNrVy5kuXLl/PVV181e042lRHqTW1xcTFbtmyhvLwcl8vV4m6bHo+Hf//7\\\n",
       "38ybN49AIMDSpUt55pln6NGjB0ajEUVRqKur4/bbb2fLli1ada+8vJxPP/2UvXv3kpqayubNmyks\\\n",
       "LAxrEl9XV8e6devYsmULRqNR2zlTrdylpqYycuRI0tPT2bhxI2vXrm3WJkKtfFksFq0SGQgEwnYW\\\n",
       "1ev19O7dm2eeeYaUlJRmN+tGo5FOnTpx2WWXUVRUhMViwW63axVGAJvNxpVXXklsbCy7d++mqKiI\\\n",
       "vLw8Dhw4gMvl0sZtt9uZPHkyDz74IDk5ORiNRurq6njooYeYPXt22Ps3GAxcc801xMTEtPp9qRoH\\\n",
       "3Nao4VhdG9p06q44OhIIhRDthQRCIU5zv/71r5kxYwZ/+MMfSE1NPdnDEacgvV5PZWUleXl5VFZW\\\n",
       "UlVVRUlJCdnZ2WHHqY3Yv/vuO8rKylAUhdWrVzN//nw6deqEzWYDoKqqij179kTsdXjw4EGcTmfE\\\n",
       "Cpl6nFrNaxx4DAYDMTExZGZmYrPZqK+vb7b7pnqsxWIhMTERg8FAeXl5szYKRqORCy+8sMVNltQA\\\n",
       "mpiYqO1Uqq7HU8es0+mIj4/nggsuYPjw4VRVVbFjxw4WL17Mtm3bqK+vJzs7m1//+tdcfPHFYVXI\\\n",
       "+Ph4fv/73/PZZ59x6NAh7boJCQlcdtllxz2sBQIBamtr8Xg82Gw2YmJijnkzICGBUAjRfkggFOI0\\\n",
       "V1lZyW9+8xsJgyIinU5HKBQiLy+P4uJi3G43dXV1bNiwgUGDBjU7fufOnRQVFWmhzel08s033zB9\\\n",
       "+nQtNLndbm3zlsbUtXx6vb7ZFM+mYzIYDNqGLfC/PoLV1dXabqmRpk/q9XpiYmLo1q0ber0er9er\\\n",
       "rYtUzx0XF8dFF13UbPp043EC2k6q6s18MBjE7/drlcJQKER0dDQxMTGkpaWRkZFBp06d2Lt3L3a7\\\n",
       "ndGjR9O5c+dmu7vqdDqysrK46667eOyxx/B6vVgsFm655RZycnKOKGQcbgMYNWDX1NRQV1dHampq\\\n",
       "qy1KRNtJIBRCtBcSCIU4zV122WUsXryYLl26nOyhiFOQoijU19ezYcMGXC6XNrVw2bJl3HDDDWFh\\\n",
       "RlEU9uzZE9ZgPRAIcPDgQW3qplqhUzeiaXotVUs3yEajkfj4eIxGI9XV1WHXUXf+jI+P16p3Tat/\\\n",
       "Op2OmJgY+vTpQ2xsLIqi4Ha7tfGZTCZGjhxJly5dWhyDGpjUfoCN1yOWlJRQUlKC1+slOjqaTp06\\\n",
       "ER0drfVIjIuLo3///sTExBAdHd1iJc5oNHLHHXfgdrv5/vvvGTVqFL/97W8jtgZpTVuChvqdwE9T\\\n",
       "XZtWIBtvhqMoilQP20gCoRCivZBAKMRprlu3bjzwwAMsW7aMvn37NquK3HXXXSdpZOJUoCgK+fn5\\\n",
       "7N27N2yq5vbt2yNW8Zqu2QO0NXtq0HA4HMTExFBaWhp2nF6vx2w2ay0oGgdLALPZTM+ePRk6dCh7\\\n",
       "9uxh9erV2hjV6uLBgwcZNmwYAwYMYN++fezduzds6qm6E2hycjJ9+vTRNsbZunUrgUCADh06cPvt\\\n",
       "t4dN4Wz8WYRCIa0KqK6jVBQFv9/Pvn37+Oyzz9iwYQN+v19rWdG9e3csFgtWq5WoqCgMBkOb1unF\\\n",
       "xMTw0EMPce+992K1WrXQdjyp018TEhLQ6XSYzeawqqeiKPh8PqqqqiguLqayspLzzz//uI9DCCHE\\\n",
       "6UsCoRCnudmzZ+NwOPjhhx/44Ycfwp7T6XQSCE9z+/fv1wKZ3W5vNs1RpQYldUdK+F8Y+PHHH6mr\\\n",
       "qwsLZ4179jXWdCdLg8FAnz59tMABEBUVRUpKCvv27Qubqmk2m4mLiyMmJgan0xm2g6jFYmHUqFHc\\\n",
       "d999JCYm8sEHH7B69eqwMYVCIWpqajCZTIwYMYJQKMQ//vGPsEpiKBSiuroal8tFamoqnTp1okuX\\\n",
       "LuzZs4dAIECPHj0YMmRIswqmWgX0eDw0NDRgNBq1nojBYJCKigrmzp3Lf/7zHyorK9HpdOzfv5+e\\\n",
       "PXuSlJSEw+HQKqMGg6HN6wAtFssJCYKNqTuURqpoqX0O33nnHb7++mtKS0vZs2fPCR3PmUIqhEKI\\\n",
       "9kK2IRPiNLd///4Wf/Ly8o7LNf7+97/TqVMnrFYrw4YN0yo7LZkzZw49evTAarXSt29fvvzyy7Dn\\\n",
       "FUVh1qxZpKenExUVxfjx44/6JlWtLrX0s379eu3G7nT8GThwIAMGDGDw4MFMnjyZt99+m9LS0rBq\\\n",
       "nxp0amtrcbvd+P1+rdG7y+Vi48aNYbtdAjQ0NFBbW9sskKlrAOF/6/Guu+66sF6Eer2e+Pj4sOPU\\\n",
       "KlVOTg5paWk4HA6MRqPWLqFr167cf//9DBs2jJycHDp37hzxu2xoaCAUCtGlSxeuuOIKzjvvvLBw\\\n",
       "p65r3LFjB8FgkOTkZAYMGMDll1/OVVddxfDhw3E4HM126/T7/Vp/xZKSEtxutzZ91uVysWrVKj77\\\n",
       "7DOKi4upr6+nvr6eyspKduzYQUlJibZO8VRs56D+I0BL46qrq+PHH3/U1oeKtjnSv6unorKyslN2\\\n",
       "bEKIU4cEQiHOUMXFxTzzzDPHfJ6PPvqIe++9l0ceeYT169dz1llnMWHCBMrKyiIev2LFCqZNm8bN\\\n",
       "N9/Mhg0bmDJlClOmTGHr1q3aMc888wwvvfQSr732GqtWrcJut2t94US4mpoaqqqqOHjwIEuWLOG3\\\n",
       "v/0ts2bN4sCBA3i9Xvx+P16vl/Lycnbu3MnevXuprKzE4/Hg8XgoKSmhoKCg2TTQQCDA9u3btZ08\\\n",
       "g8EgJSUlrF69WgsYFouFMWPGMHTo0LBQpvbrUytlahg866yzGDRoEB06dNACpNoGITc3l65du2pT\\\n",
       "J1taf6eGW3X93rRp04iLiwu7qfX5fGzZsoW9e/cSCoW0xu1xcXFha+jUwOz3+6mqqmLbtm1s2rSJ\\\n",
       "Q4cOabuY1tfXs2/fPj744AMKCwvx+/1hU0vLysooLS3F6XQ2C9WnA71er/VHVKfHirY5EwJhSkrK\\\n",
       "yR6CEOI0IFNGhTjN3XTTTREfP3DgAKtXr+b+++8/pvM/99xz3Hrrrdx4440AvPbaa8yfP5833niD\\\n",
       "//u//2t2/IsvvsjEiRP53e9+B8ATTzzBggULePnll3nttddQFIUXXniBhx9+mEsuuQSAd955h9TU\\\n",
       "VObOncvVV199TOM9k4VCIZxOJ5988gk5OTnMmDGDmJgYPB4PRUVFbN68mUAgQNeuXbWeeFu3buXQ\\\n",
       "oUPNgoDf7+ett97S1uPl5eXx/vvvs2bNGhRFwWg0kpSUxAUXXIDD4dBep1bxfD6fFhJjYmIYMmQI\\\n",
       "F154IZmZmeTl5YWtDwwGg1rwVMcRExNDVFQUdXV1zd6j2+3GaDRitVrp3bs3HTp0oLKyMmzaaHFx\\\n",
       "MfPmzaNTp0707NlTWzPYtDIYCASorq5mzZo1rFq1ikAgQO/evcnIyMDj8VBTU8PcuXNZtWpVsw1s\\\n",
       "1LGorTqSkpK0NYSnisPtJqrT6UhMTGTSpEls27aN/Pz8n29wp7kzacpoW3asFUK0XxIIhTjNVVdX\\\n",
       "h/0+GAySl5fHjh07eOWVV47p3D6fj3Xr1vHAAw9oj+n1esaPH8/KlSsjvmblypXce++9YY9NmDCB\\\n",
       "uXPnAj9NcS0pKWH8+PHa87GxsQwbNoyVK1dKIDwMdcrkxx9/TJcuXejTpw91dXWsX7+eVatWUVdX\\\n",
       "x7Zt2+jWrRsmk4nFixdTWloaMRAuWrSIZcuW4fP58Hq92jRU+GmXTDX8+Hw+rFYrer2eUChEbW0t\\\n",
       "8NOOlgaDgSFDhjB9+nT69OmDwWBAURRsNpu2rjEQCFBYWEhlZSUpKSkoikJqaipZWVkR+xWqN+Jq\\\n",
       "i4kOHTqwadOmsL6HHo+HH374AZvNxvXXX0/fvn21dXTqGNQwuHTpUj755BP2799PfHw8UVFRpKWl\\\n",
       "4Xa7Wbt2LZ9++ilOp7PZZ6Tu0KoGQnU666nmcKHQYrEwduxYysvLmTdv3s84stPbmRQIIXyMRqOx\\\n",
       "1dYwQoj2RQKhEKe5Tz/9NOLjf/zjH5k7dy6//OUvj/rcFRUVBIPBZj0OU1NT2blzZ8TXlJSURDy+\\\n",
       "pKREe159rKVjIvF6vWGboDidzra/kTNMMBikuLiYNWvWYLFYcDqdbNu2jf3791NfX4/T6dR2C925\\\n",
       "cyder7dZ2FHXC9bX12vBrXGjePhp+mZpaSlutxu73a5du6GhAavVqvXoGzJkCN27dycxMZFgMEhM\\\n",
       "TEzYRiqKouByuaitrdXW4UVHR9OhQwe2bt0aFgjVzWnUm3GDwUB0dHTEHUNdLhfr16+nV69eZGRk\\\n",
       "kJCQgNFo1KohPp9Pmwa7c+dOampq8Hq9FBUVcfDgQYxGI6tXr6aioqLFoNfQ0EBdXR319fXalNFT\\\n",
       "pcdfpO8sEp1Oh8Ph4Oyzz6aiouLnGp44Rah/Rv72t78xa9YsampqTsvpz0KIE0cCoRBnqGnTpvHk\\\n",
       "k0+e7GEcN08//TSPPfZY2GOPPPLISRrNyaUoChUVFbzzzjssXLgQv99PRUUFbrebUCikTRUNBALU\\\n",
       "19dHrASEQqFmlbnG51crgQsXLiQ9PZ3zzjuPuLg4rXl7v379SEhIYNCgQUycOJHk5GSMRiM+n4+k\\\n",
       "pCRt3Z96M1pbW8uePXvo378/UVFRpKamMm3aNLZv386+ffsIBoNaGExOTtbGodfrSU9Px2w2h70P\\\n",
       "RVHwer3s2bOH2bNnoygKgwYN4qyzzsJms+H3+yksLOS9995jzpw5Wuirqamhvr6enTt34nK5yMvL\\\n",
       "a7YDa+NrlJeXs23bNpKSkujWrRtpaWnac40/R/UGW6/Xa1NK1c9R7f2nbrJzPDXuMXi4KmHfvn3p\\\n",
       "2LHjcb3+me5UCP5HSt3kqenf+6uuuopf//rXJ2lUQohTmQRCIc5QmzZtYsCAAcd0jqSkJAwGQ7N+\\\n",
       "c6WlpdqNcVNpaWmtHq/+t7S0lPT09LBj+vfv3+JYHnjggbCpqE6nk9mzZx/R+zmTBINBysvLqays\\\n",
       "BCJXixo/1lRr64nU13u9XrZv384bb7xBeXk5Y8aM0VowjBs3DqPRSMeOHUlMTAwLQeomL43bY6gB\\\n",
       "zefzYbfbsdvtjBw5kltvvZUXX3xR+zMTExNDQkKCtksq/PRnxm63azt9Nn4P6nk/+OADdu/ejdls\\\n",
       "JisrC6fTyZdffsknn3xCcXGxFtj8fj8ej4eCggKCwSDBYLDVz6impobNmzfjdrtJTU0lOztb6/UX\\\n",
       "CoWor6+nsLCQXbt24Xa7iY2NJTExEZPJpFVrQ6EQ6enpdO7cmfj4+GYtMY6F+h0fbnqjGrYTExOP\\\n",
       "27XPdKfzlFE1+I8cOZLly5cD/5uVIWsJhRBNSSAU4jTXdL0e/BSu5s2bx6RJk8Kef+65547o3Gaz\\\n",
       "mUGDBrFw4UKmTJkC/FQRWbhwIXfeeWfE1wwfPpyFCxdyzz33aI8tWLCA4cOHA2htCRYuXKgFQKfT\\\n",
       "yapVq7jjjjtaHMvP0c/tdKNu2BLp8WOhTtWEn1oWqE3s7XY748ePJzExkaSkJG3jFzX4qRUxn8+n\\\n",
       "NW9Xb5R1Oh0ul0urWqg7k06ePJn8/HzmzZtHfX09cXFx+Hw+3G43ZrOZQCBAbGwssbGxVFVVNZva\\\n",
       "2bipfHV1NTabjYEDB1JUVMQnn3zCoUOHwtZGqiGwrdR2Fdu2beOdd97R+hxaLBZ8Ph/79u3jvffe\\\n",
       "Y+nSpbhcLhwOh9Z2w+PxaGsPY2NjOffcc5k+fTodOnQ4rhvTHMn3faoFl1PZ6RwIc3JygJ92fR40\\\n",
       "aBDr1q0jOzubwsLCkzwyIcSpSAKhEKe5DRs2RHx8yJAhlJWVae0hjvaG5d577+X6669n8ODBDB06\\\n",
       "lBdeeAG3263tOnrdddeRmZnJ008/DcDdd9/N6NGjefbZZ5k0aRIffvgha9eu5fXXX9fGcc899/Dk\\\n",
       "k0+Sm5tLTk4Of/jDH8jIyNBCpzh51OlmUVFR2jq8QCBAfn4++/btY+LEidjt9rAWBup0z2AwSF1d\\\n",
       "HQUFBVRUVGAwGLTgYzKZtLCoVrSMRiPJycmce+65bNy4kfz8fEKhELt37yY/Px+9Xo/P59PWwBkM\\\n",
       "hogVPXXnU/UfQtauXUt1dTUHDx7U2kgci1AoRENDA5s3b+add94hOzublJQUamtrWbBgAZ999hmH\\\n",
       "Dh3SpusWFhbicDi0TWnq6+sJBoNs3LiRLVu28Mwzz9ChQ4fjFiJaqwSLo3c6B8JFixbx6KOPAmi9\\\n",
       "JyUQCiFaIoFQiNPc4sWLT+j5r7rqKsrLy5k1axYlJSX079+fr7/+Wpt+VFBQELYuasSIEbz//vs8\\\n",
       "/PDDPPjgg+Tm5jJ37lz69OmjHXP//ffjdru57bbbqKmp4ZxzzuHrr7/GarUe8fgOdyM2cODA0/pm\\\n",
       "2eFwaOv21PVoR0ttXt7aedRNXKKjo3G5XHi9Xm0DGqfTiclk0qY8er1e6urqtN036+rq2LdvH8uW\\\n",
       "LdN6BKrXtFgs6PX6sGqdej21Z6Hf79emaHbu3BmTyYTJZKKhoUF7fUvUKaYlJSXaesGm1zoWauhc\\\n",
       "tGgRF1xwAUOHDqWgoIBvv/2WoqIibeMev9+vrSk0mUxaP0h1Pednn32Gz+fjX//6FwkJCS1eC9oe\\\n",
       "Mk61MHKmOJ0DYSgU0tZcq9OxV6xYcTKHJIQ4hUkgFEIc1p133tniFNHvv/++2WNTp05l6tSpLZ5P\\\n",
       "p9Px+OOP8/jjjx+vIZ6xHn74YcrLy1m3bh3bt2/Xdgg80mmC6vROtdoVadqkXq/HZrNpawLVnUrV\\\n",
       "qal1dXVaMA2FQhw6dIhvv/2WDRs24HK5qKur01o01NbWan391Jvl2tpaamtrCQQCWqgMBoM4nU4t\\\n",
       "WCqKQnFxMVu3biUrK4ukpCRCoRDR0dGYzeaIO6Y2dqRTQo+EoihUVlayatUqMjIy2LlzJ/v27cPn\\\n",
       "82lTWdWG9l6vVwvfjddDNjQ08NVXX/HYY4/x1FNPabu3Nh6/WkU1m81tXm94qgWSM8HpGgjVTYxC\\\n",
       "oRAzZ87klVdeOaXGJ4Q49UggFOI0NHHiRB599FHOPvvsVo+rq6vjlVdeweFw8Ktf/epnGp04nm68\\\n",
       "8UZ8Ph+FhYV89dVXfPrpp+Tn52tVucMFQzUMJiQkkJmZSXV1NUVFRRF7/1ksFuLi4jAYDDidTi18\\\n",
       "qYGwpKSE/Px8LBYLNTU1fPDBB3z88ceUlpYSCATC2lc03v1SURTq6urYvHkza9euJSMjQ2sPoVYZ\\\n",
       "1ZAbDAbxer1UVlZSUVGB3W7HZDKRlpZGfHw8Ho/nuEwDPVp+v59Dhw7hdrvx+XzNxqKuo/T7/S2G\\\n",
       "Oa/Xy+zZs0lKSuKuu+7C4XBoU25dLpfWNzIjI4Po6OjD7kwqN/uiqcZ/v++44w7OOussQqEQeXl5\\\n",
       "J3FUQohTlQRCIU5DU6dO5fLLLyc2NpbJkyczePBgMjIysFqtVFdXs337dpYtW8aXX37JpEmT+Mtf\\\n",
       "/nKyhyyOksPhIBQKYTabmTx5Mnq9nnnz5pGfn4/H49HW1EVaR6ZuDmO32+natStdunRh7969lJaW\\\n",
       "atU7lclkIjY2FrPZTFVVVVg1EH6qfOXn5/Pmm2+Sk5PD1q1bWbFiBVVVVWH9+dTrNqZOody9ezfv\\\n",
       "vPMOCQkJjBo1CpvNhs/nw2w2ExMTo7WWUKsbHo8Hn8+HxWIhKyuLDh06UFdXp1UZTwb1PcbFxdG1\\\n",
       "a1fS0tKa9c9Ug626plCdNtv4+/F4PDz33HMEAgFuvPFG4uPjCQQCVFZWUlRUpPVqVNdrtkYC4Ylx\\\n",
       "ulYIm+rTp88Jq5oLIc4MEgiFOA3dfPPNzJgxgzlz5vDRRx/x+uuvU1tbC/x0Y9KrVy8mTJjAmjVr\\\n",
       "6Nmz50kerTgWagVKp9MRGxtL3759OXToEADl5eVaxazxVE746c+BXq/HYrGQmJhIVlYWycnJlJaW\\\n",
       "YjKZwq6hhkaHw4Hb7aampias8qXX67U2F1988YU27VQ9prVqXePn6uvr2bx5My+++CKKojBw4EB0\\\n",
       "Oh3Jycl0796dyspKnE6ntptsfX09brcbo9FIUlISubm52lRUdaOWk8FkMpGSkkJmZiYXXXQRu3bt\\\n",
       "wuVyac+rgTAQCGC32wmFQjidzmaVRKfTydtvv01KSgpjxowhKioKv9+PzWbT1mq25bM9kuAi2u5M\\\n",
       "CYRCCHE4EgiFOE1ZLBZmzJjBjBkzgJ/WZ3k8Hq0HmjgzHDx4UNvRs6GhAavVSufOnamvr6e4uBi3\\\n",
       "2631u3O73VpI0+v1mM1moqOjyczMJD4+Xuuf17g/YOOpovDTNGN1DZtKnQbZ0NCAx+NpMQQ2vilu\\\n",
       "qdG71+tl06ZN/POf/+TWW28lNzeX6OhounfvTn5+vrZjaX19PWVlZTgcDmJiYjCZTGRkZNCtWzfc\\\n",
       "bjdFRUXamsPjTQ0Ckd6nunmO+plddNFFzJkzh507dzbrkRgMBnE4HCQkJJCfn4/b7Q47XygU0ir6\\\n",
       "Q4cOJSYmhvj4eOLi4jAajS1WByNVhBv/WsLJ8SGBUAjRXkggFOIMofZqE2eWf/7zn1itVhISEoiJ\\\n",
       "idFu/FNTU4mKisLn8+HxeKisrKSyslILHRaLBYfDQVxcHKmpqdjtdrxeL/X19QBa0DCZTFoIqaio\\\n",
       "aHXTltbWLOr1eu2caoBsLRSuW7eO6OhorrjiChISEjAajVgsFu358vJy9u7dSyAQIC0tjZiYGOx2\\\n",
       "O1lZWZSXl1NTU4PP5zvuVUKdTofVasVut+Pz+airq2sWvHbv3k15eTlxcXFadXP37t3NAmEoFMJu\\\n",
       "t9OtWzetV2LTqa7qBiB2ux273a6Fdr1eH9bfsXFAVSvBavBvfD01UJtMpuPa67A9kkAohGgvJBAK\\\n",
       "IcQpTN0hUF1nl5GRQUpKClarFUVRCAQCeL1ePB6Ptu4sPj6ezMxMkpOTtXV51dXV5OXlsXPnTm33\\\n",
       "UKPRSExMDN27d8dut1NeXt6s8buqtamhBoMBh8NBfHw8oVCIqqoq6uvrWzxe3WTm22+/Zfv27XTt\\\n",
       "2hWfz8eBAweorKwkEAhQU1NDWVkZ+/btIzMzk9zcXDp27EhycjIdOnQgPz+f2traNgdCdQqtw+Eg\\\n",
       "MzNTC8CHDh3C4/EQCoUwGAykpqYyffp0fvGLXxAIBLjjjjvIy8vTPhdFUdi3bx933nknv/nNbzCZ\\\n",
       "TNTU1EQMBGrbjQ4dOuDxeCgqKgqrEqob/sTGxmKz2bBarZjNZi3kNQ6Bfr+furo6ysvLqa2txWQy\\\n",
       "kZCQoK37VDf9WbZsGdXV1YwfP55evXrJbIFjcKID4cSJE/nmm2/CHktMTKSiouKIzyWEEMdCAqEQ\\\n",
       "QpzC1IpSIBDA5/Ph9Xqpra3FYrFoa+m8Xq92nNVqxWAw0LlzZ61lQ1FREXl5eezevZuqqir8fj/w\\\n",
       "vxYHbrebYDB4VFMw1Ypaeno6aWlp1NXVUV9fr+2C2hqv18uBAwcoKyvDZDLh8/nCWjh4vV4aGhrw\\\n",
       "er3ae0tPT9f6E0a6CVdv4htXzgCMRiNpaWlcc801XHHFFaSkpOB0Ovnmm294++23OXjwIBaLhbFj\\\n",
       "x3LttdfSuXNnDAYDf//737nhhhsoKSnRzqU2mf/zn/9Mly5dKC4ujvj+1Cqfup4w0ngVRaGiooLq\\\n",
       "6moSEhLCApwaBtWw/OWXX7JixQpcLhdpaWkMGzaMIUOGkJycTENDA2vXruWLL77A5XJht9vp1KkT\\\n",
       "MTExWrAMhUL4fD6ioqIO97WKE+z+++/XwmB8fDxdu3Zl06ZNZGVlneSRCSHaIwmEQghxGmh8Q+92\\\n",
       "u7U1g02nTapTQrOysujUqROKolBeXs7+/fuprKwM2yxGbXOwa9cujEYjTqczYohrLSQajUYSExPp\\\n",
       "1KkTNpsNj8ejTR9turNmJIFAAJfL1SzAqf8NhULU1NRQVFREfHw8VquVQCCg9ehT21WoIdBms5GQ\\\n",
       "kKCNpa6ujmAwSFxcHJdeeim33347GRkZGAwGMjIyyMnJ4ZxzzuG9996jvLyccePGkZmZidVqRa/X\\\n",
       "c9555/GHP/yBe++9l4aGBm3cXq+XPXv2aJv6NB4L/BRMbTYbaWlpAFRXV0fcGTUYDLJz505+/PFH\\\n",
       "dDodGRkZ2O12bUMZj8fD5s2befnll1m6dKm2OY3FYmHVqlWMHTuWESNGAPDjjz9y6NAhDAaDtkOr\\\n",
       "+mejrq6OJUuW8OGHH/Lhhx+2+p2cDm655RYyMzNP6DVOZIVQ3fn5ZLVPEUKIxiQQCiHEaUKv1xMV\\\n",
       "FYXFYqG6ujpig3m/309NTQ2FhYV06tQJgIKCgmZhUBUIBKitrW1TeIs0HrvdTk5ODllZWTidTq0y\\\n",
       "2NZACP/bgKWlClogEKCuro6ysjISEhLw+/1YLBaioqK0aZfZ2dl06tSJcePGkZOTg9/vZ8uWLaxe\\\n",
       "vZqSkhIyMjI4//zzSU1N1foD6nQ6oqKiOOuss7BaraxZsyasRyKA2Wxm2rRp/Oc//+GHH34I+7zV\\\n",
       "ql9mZiahUEhr56GGwSFDhjBmzBhtSm/jwKhePxQKUVBQwAcffMCCBQtISEggPj4eh8OBz+dj9+7d\\\n",
       "rF27luLi4rDNfrxeL263m8rKSnbs2EFmZiZVVVXodDpSU1Pp2LEjJpNJq/wuWLCAWbNmceDAgSP6\\\n",
       "jtuzn2MNYdPXSUAUQpwMEgiFOM1df/313HzzzZx77rkneyjiBFLDS9euXdHr9dTU1LRYzfP7/ZSU\\\n",
       "lLBnzx4CgQAFBQXaOrlIWlsf2HjHzaaPm0wmOnXqxNlnn01iYiK7d+/WnlNDl9qPr/EavMO9z8Y3\\\n",
       "yY2nfwaDQa1PYVxcHF6vl6ioKEaPHs11111HamqqNkXS6/XSs2dPkpKSWLVqFYmJiWRmZkZsFm8y\\\n",
       "mejYsaO2UY0avNRxREdH89BDD7Fz505KS0u19YYOh4Pu3bszaNAgXC4X27dvp6KiAofDwfDhw5k4\\\n",
       "cSJJSUnk5eXx2WefNXufaiW1rq6Obdu2aVN/G2/I09IGPWpQrqioYO3atRQUFBATE4PD4aBDhw50\\\n",
       "6NBBm36qVjNrampOWv/G09HRBMJFixaFPT5w4EAmTpzY6mtTU1MpLS3VziOhUAjxc5NAKMRprra2\\\n",
       "lvHjx9OxY0duvPFGrr/++hM+lUr8/HQ6HXFxcQwaNIi6ujp27tzZ4rFq37sdO3bQ0NBAdXX1Ue3G\\\n",
       "qTa2V/sQNg4m6gYsl1xyCWPHjtV6HhYUFOB0OjGZTJjNZm3qZUNDA7W1tVrD+0gBU6/XYzKZsFgs\\\n",
       "WphRg2dCQgJZWVmkp6dr18rOzmbYsGFcfPHFpKWlaVVJ+Kmy17FjR4YMGUJlZaV2npbWHUZFRREf\\\n",
       "H09eXh7V1dXExMRoQVSv1zNo0CBuvvlm3nzzTZxOJ1arlX79+nH++eczcOBAHA6H1og+JiaGmJgY\\\n",
       "rZ+iw+GgT58+bNiwQQtk6s6i8fHxWrWvLesumwqFQrhcLm3qbXJystZ+JBgMYjAYMBqNdOvWjS5d\\\n",
       "uhAIBKisrDyia7RXRxMIFy5cyMKFC8Oea2ufTtmpVAhxskggFOI0N3fuXMrLy3n33Xd5++23eeSR\\\n",
       "Rxg/fjw333wzl1xyiewyeAYxGo1ER0e3KdwFAgGcTmfYhjNHymAwYLPZ0Ov12lo5CK8ODhw4kA4d\\\n",
       "OmiN1rOzs6moqMDn85GQkECnTp1ISUkhEAiQl5fHxo0bKSkpaRYK1XM6HA4SExOJjo7Wqnlms5nk\\\n",
       "5GS6dOlCZmYmgUBA25Gzd+/exMfHh4VB9Xxms5m4uDgcDgf19fWtts1Qq5pqcA0EAtrUUbVX4/Dh\\\n",
       "w1m1ahUHDhwgOjqaHj160LFjR5KSkoiOjtY2u1Gbyqv9I9VKotVq1aqP6ntKT0+nrKwMp9N5VN8R\\\n",
       "oG0843a7MRqNHDx4kJKSEnJzc7VxZGdnM3jwYHw+nwTCNjqaQDhu3DjGjh2rPT5w4MATMjYhhDie\\\n",
       "JBAKcQZITk7m3nvv5d5772X9+vW8+eabXHvttTgcDmbMmMHMmTPJzc092cMUx8jn8+F0OnE6nc3W\\\n",
       "ozWlBkK1snekoqKiGDlyJBMnTqS+vp4FCxawfft2PB4PZrOZXr16cd9993Huuedis9lQFIW4uDhs\\\n",
       "NhudOnXC5/PRr18/+vfvT2JioraL6P79+5k9ezbz58+nqqpKC0dxcXFkZWXRq1cv+vTpQ8eOHYmL\\\n",
       "i8NsNmM2m7FYLFitVuCnDVKqqqqwWq1a0Gp6464GvPj4eGw2G6WlpVRWVmrTPZtSb/4PHTpEbW0t\\\n",
       "SUlJYVNMTSYTZ599Ng8++KC2CU+HDh3o1KkTiYmJ2Gy2sADZ+Lw2m40LL7yQzz//nE2bNmEymRg+\\\n",
       "fDhTp04lNTWVtWvX8uabb4a1tzgS6hpMt9uN1+tl1apVWnVw8ODB2Gw2unbtyt13382MGTMYOnTo\\\n",
       "EV9DtM3YsWN58MEHT/YwhBDiiEggFOIMUlxczIIFC1iwYAEGg4ELL7yQLVu20KtXL5555hl+85vf\\\n",
       "nOwhiqOkKAq1tbWsWrUKj8cTtuNlJGo17GjbSNxwww3MmjWL+Ph4gsEgV199NfPnz2fjxo0kJCRw\\\n",
       "0UUXMWTIEOx2uza10mg0MnToUHJycggEAiQmJuJwOMIarMfFxfGXv/yFmTNnsmPHDtxuN3a7HYfD\\\n",
       "gc1mIzo6mri4OK03n1rhUkOWukZSbZHhcDi060d6L2azmfr6evbu3cuGDRvo379/i1Xzuro6Nm/e\\\n",
       "TFVVFYFAgMsuu4yUlBQArYfhWWedpU29NJvN2O12oqKiWpyOqr62Q4cOzJw5k6+//pqePXty6aWX\\\n",
       "arudDhkyhB49evDggw+yd+/ew4b9SBr3K6ytrWXp0qWUlZVx3333cf755xMbG0tsbCwdOnQ4ovO2\\\n",
       "ZydyU5mEhARtE6C+ffuydevWoxmiEEIcFxIIhTjN+f1+PvvsM958802+/fZb+vXrxz333MM111xD\\\n",
       "TEwMAJ9++ik33XSTBMLTmNqCYNeuXdrmKq0d2/i/bdF4auTYsWN5+OGHSUlJ0cJW586dufnmm6mu\\\n",
       "rtY2dYmKigoLY+ouqBkZGVrj+8bPq9dwOBz07t2bnj17akEmFAoRCAQIBoPo9XrMZrMWsprebBsM\\\n",
       "BsxmM4qitBgGG1/v0KFDbN++ndraWkaOHMmAAQOavS4YDHLgwAE2bdpEaWkpBQUF+Hw+brvtNm0t\\\n",
       "oPr+TCaTtpOq2v7icIHAarUyZswYzjrrLJKTk4mJidEqlWazmUmTJtGpUyeefPJJlixZolV31c+n\\\n",
       "reFePc7r9bJjxw5ef/11+vfvT0JCQpvGKf7nRAbCyspKTCYTgUCALVu2aI/LhjJCiJNBAqEQp7n0\\\n",
       "9HRCoRDTpk1j9erV9O/fv9kxY8aMIS4u7mcfmzi+1L6BbQ0GbaFW0eLj48nNzWXKlClcffXV2iYt\\\n",
       "KnVXTZvNBtBszV7j87Vl3aq6w2Zjjaua6s14S9cwGAxteo8+n48VK1aQn5/P/v37mTp1Kv/6178Y\\\n",
       "NWqUNh1UXYNXUVGh9Xisra3lr3/9K3a7nQkTJmjrFEOhkNYiw2g0atXPtrzfhIQEEhISIoZYk8lE\\\n",
       "//79+eCDDygtLWXz5s0cOHCAyspK8vLyWLJkCQcOHGhxPWjjCmrj97Rx40Y2bdpEjx49JAwehRP5\\\n",
       "mbX2jzpCCPFzkkAoxGnu+eefZ+rUqdr6qkji4uLYv3//zzgqcbw0Dg9HMwW0LedPTEzkoosu4qqr\\\n",
       "rqJv377ExcW1eCPclhvkxi0bjkTTtXdt0bgRfCRer5fKykptGmZhYSG//e1vee+99+jWrVtYsOza\\\n",
       "tSt9+vTB6/Vqu6F++eWXGAwGzjrrLKKjo7VAaLVaSUxMjNjGoiWtVTNVJpOJ9PR0kpKS8Hq92iYw\\\n",
       "OTk5vPjii9q6y8YMBoNWtVTbVqgCgQD19fVtHqP4n5+jD6EQQpwKJBAKcZq79tprT/YQxAnUpUsX\\\n",
       "fD4fdXV1uFyuiC0bjoXBYCArK4vJkyczYMAAoqOjm1W91CCqTmGMVN1rPK1RbSER6RyHu8luHHoP\\\n",
       "d5OtTo2En6ZdRrqmwWAgKipK+30wGGTnzp0899xzPPbYYyQnJ6PX6zEajfTq1Yvbb7+dJUuWsH79\\\n",
       "esrLy3G5XKxatYqqqiptPaXP5yM2NpY+ffrQtWtX7Hb7cQ0EaqsPs9lMKBTCZrMxduxY5syZQ3V1\\\n",
       "ddj3b7FY6Nq1K927d6eoqIjt27fjdrsJhUJaO42srKxm/7Bwunv11VcpKys7odeQQCiEaC8kEAoh\\\n",
       "xCls3rx51NfXs3HjRmbPns369evx+XzH7fw6nY6YmBjS0tKIiopqFgZDoRBer5fS0lLKy8txOByk\\\n",
       "p6drm8moUxOrqqq0dhKZmZmkpKRgNpuBn6pUNTU1VFdXEx0dTUJCghbgIHxDFLWSp64TjLQjqMrr\\\n",
       "9bJ582YqKiro3bs3CQkJzTaZiYmJ4dxzz2Xv3r3aRjyBQIDVq1ezefNmRowYob3v+Ph4hg4dSrdu\\\n",
       "3SgoKGDHjh3s3r2bYDBIWVkZ5eXl+Hw+XC4Xer2e0tJS/H4/PXr0CNtcpyVHUjltPGXWYrGQlpZG\\\n",
       "dnY2u3fvxufzaWsxr7vuOmbOnElCQgKHDh3i5Zdf5rPPPsPlcmEymRg9ejT9+/eXwHIUJBAKIdoL\\\n",
       "CYRCCHEK69GjB4qi0KdPH/r27cuMGTPYu3fvcavytDZNU1EU3G438+bN4+9//zslJSVkZ2dz1113\\\n",
       "MX78eGw2G36/n61bt/K3v/2N1atXEwwG6dWrF7/85S8ZNGgQOp2O7du38+GHH7Jr1y46duzItGnT\\\n",
       "GDp0KNHR0VrTe5fLRXFxMVVVVVgsFlJTU0lNTY3YUkIdW0lJCa+99hq7du1i+PDhjBw5kgsuuECr\\\n",
       "2KkVspkzZ7Ju3To2btyI3+9Hr9fj9/spKirC4/FgtVrR6/Va/0B1Omi3bt04cOAApaWlVFdXU1tb\\\n",
       "S0VFBR6Ph6qqKtasWUNBQQG9evViwIAB5OTkEBsb22zH0cYb56jrH4/k+1F3fs3JySE+Ph63201y\\\n",
       "cjIPPfQQV111FVFRUeh0OpKSkvjTn/7EuHHjWLlyJZmZmVxxxRUkJydLYBFCCNEiCYRCCHEKa1wl\\\n",
       "6tevH5deeinPPffcUTebj3Rur9eL2+1uFjKDwSBr1qzhgQceoLi4mFAoxMGDBwkGg/Tr14/s7Gwa\\\n",
       "Ghr48ssv+eKLL6irqwPg4MGD7Nq1i8mTJ5OUlMQPP/zAhg0bqK+vZ8eOHRQXF2uh0G63U1NTw7p1\\\n",
       "61i6dCklJSXEx8czevRoLrnkEtLS0iKGmVAoxLZt2/jxxx+pqKggEAgQCAQYMWIENptNe43BYKBr\\\n",
       "167MmjWLBx98kPz8fAwGA7GxsSiKolUkG1fk1CmkFosFh8NB165dcbvdVFdXc+jQIfbu3cuOHTvY\\\n",
       "t28fO3fu5P/bu/PoqOrzf+Dv2WcyW1Yy2Tf2IETCFkFUQKEqCOJSj8Wl1K1gq/ira9X29Fu17q0i\\\n",
       "qLX61VLEDdd+tRoU2ZEESCAYQgIJJJkkk2Vmktln7u8Pzr3NTCZh35z365ycY2bunbvE9szb53Of\\\n",
       "57PPPkMwGITRaMTIkSNx5ZVX4oILLkBycjKUSiVCoRA8Hg+CwSB0Oh30ev0xd/xUKBQ477zzYLPZ\\\n",
       "EB8fjwULFmD8+PFSFVbcJjk5Gddeey3mzJlzVFVW6h8rhEQUKxgIiYjOEWq1GlOnTsVLL710UgIh\\\n",
       "cLh61dXVBZvN1mcoutfrxeuvv47m5mYEg0EAh5db7tmzBzabDVlZWRAEAVVVVeju7pb29/l8OHDg\\\n",
       "AFavXo2srCw0NTXB5XLB5/MhGAyiqqoK7733Hg4cOACLxYLGxkasW7cOe/fuhcvlgkqlQkNDA4YN\\\n",
       "GxY2+qK3QCCA2tpauFwuacSFXq+HRqPp8+VcpVLhggsuwM0334x//etfUoVNbPsvdjeNDADi84da\\\n",
       "rRYGgwGJiYlITU1FSkoKlEolGhsb0draGta0pqqqCqtXr4Zer0d2djZGjBghVfbi4+ORmZmJ/Px8\\\n",
       "WCwW6PX6AecX9iYOmT///PORk5PTb0Mbscur+B6DyvFjICSiWMFASER0DjGZTMfU2XIg4nN7VqsV\\\n",
       "lZWVmDFjRlgDltbWVqxbt04KgyKx2iV2t/R6vX3CpLgMNBQKwWQyoaurKywwig1QHA4HrFYrmpub\\\n",
       "4XQ64fP54Ha7sXfvXmzduhUlJSVRr9fn88Fut0Oj0UClUmHcuHGYMmVK1AYvMpkMer0e06dPx8GD\\\n",
       "B1FTUwOLxSIFQrFZTu/tI/cXl3qKYcvtdmPz5s3wer1RO3va7Xbs2rUL1dXVMJlMyMzMRE5OjtRB\\\n",
       "NDMzEyNHjsTw4cORkJAw4N80FApBoVAgJycHBoMh7PnL/jCgnDgGQiKKFQyERETniFAoBIfDcVI/\\\n",
       "MxgMoqurC19++SVuuOEGqSlLIBDA999/D5vN1mcfQRCkofRqtRp6vT7qZ+v1emlZ45YtW6TGLhqN\\\n",
       "BlqtFmazGenp6dBqtdi/fz9aWlqkYObz+aQmNZHPEYZCIdjtdgQCAWRkZCA1NRVz587FiBEj+g1W\\\n",
       "YjfViy66CEajEWq1GgaDQRrVIM4WFINWf6FQDJepqanQ6/VSZTAaMXA7nU60t7cjMTERGo0G7e3t\\\n",
       "qKysxMaNGzFlyhRcfvnlsFgsUZd2hkIh+Hw+CILQbwW0v2OHQqGwoCr+LoZ+GhgDIRHFCgZCIqKz\\\n",
       "WO9B4x6PBwcOHOhTjTtRYmOY9957D4sXL0ZcXBysViuWLVsWtaOpOMxeDFAGg6HPNnK5HKNHj8b1\\\n",
       "118Pk8mE888/H59++in27dsHABgyZAhKSkowatQoAEBycjL++c9/oq6uDsFgEPHx8UhPTw9bzgkc\\\n",
       "DjUulwuHDh0CAIwcORKTJk3CqFGjYDKZBqyc6XQ6jBgxAiqVCn6/HykpKVAoFAgEAtKQcHHY/EDk\\\n",
       "cjkUCgXcbveAgRD4b0MZtVqNzMxMZGdno7u7G01NTWhvb8fOnTsxdOhQJCYmRg1qPp9PCuUGg+Go\\\n",
       "RnH4/X50dHSgubkZdrsdwWBQum/d3d248cYbB/wMOoyBkIhiBQMhEdFZTAx/wWAQLpcrasXuZPB6\\\n",
       "vfj+++9x1VVXITU1Fdu3b8f+/fsHrH6Jon0ZlsvlGDp0KDIzM6HT6TBq1Cg0NjYiEAjA5/MhNzcX\\\n",
       "eXl50tLNiRMnoqamBi6XCy6XCzk5OcjPz5dGW4g/gUAATqcTNpsNcrkc6enpyM3NRVxc3IDLLsUl\\\n",
       "n0ajEampqfD7/dIzfOJ8QjHg9lcl7H3tHo8Hdrv9qLq9il1CLRYLcnJy0NPTAwBob2+HRqORlqxG\\\n",
       "jqUQj2O1WqHT6TBo0KABjyOOAGlubsbWrVtRWVmJ9vZ2qQra3d3NQEhERH0wEBIRncWampqkYFBf\\\n",
       "X4+amppTUo0IBALYsGEDfvvb3yIvLw/fffddv+FTEAQ4nU4paHR0dPTZRqvVYtasWRg0aBAUCgX0\\\n",
       "ej3i4uKQm5uLjo4OFBQUYMSIETCbzdIMwJycHMyePRttbW0oKCjAsGHDoNFopKqXx+NBY2MjKioq\\\n",
       "sHfvXqjVahQVFWHYsGHQarUDVvbEsGU0GpGbmysFQDFk2u12aTml0WiERqOJWm0MBoOw2+3YunUr\\\n",
       "9uzZ0+f5ykhiyExMTERhYSHOO+88yOVytLe3o6WlBSqVChaLJeqx/H4/du/ejU8++QTp6ekDjuEQ\\\n",
       "m+z8/e9/x1dffQWr1So929l7+ejJri7/lLFCSESxgoGQiOgs9uCDD0KhUEhBoLW1FTqdDi6X66R/\\\n",
       "ufd4PNi0aRO2bt0atVGMSBAENDU1wefzoaurCzU1NX0qZTqdDkOHDpXGK6jVaqSnp0On08HpdMJg\\\n",
       "MMBsNksNUpRKJdLT0zFo0CCpiYpY8QuFQuju7kZZWRm++uor1NbWQqfToaSkBMOGDUN8fDwUCsUR\\\n",
       "v5SL56FSqaTP9Xg8cDgcqK6uRnV1NQRBwNChQzF8+HAkJiZK5y+G0tbWVnz55ZdYuXIlGhsbIQgC\\\n",
       "5HL5gH8LsfNnYmIiBg0aBJ1Oh7S0NAwZMgQAYDQa+1Q3Q6EQmpub8eabb2Lt2rVISEhAVlYWZs+e\\\n",
       "HTZqAjhc3f3www/xyCOPoKmpKeoy1pM1tzKWMBASUaxgICQiOoutXr1aWnKYkpKCQYMGISMjAx6P\\\n",
       "B93d3Sf1i7645FAmkx0xbIrPwFVWVuLgwYN93tfr9TAajdIXZTGMJSYmSgPpe49cEJd09q7yiUEs\\\n",
       "GAyioaEBb731FjZt2gS/3y+NbkhNTe13dEPvgfBihVAul4c9jyiTydDU1ISVK1di48aN6O7uhsFg\\\n",
       "wJgxYzBr1iyMHz8eCoUCXV1dqKiowBdffIHt27fD4XBIVUaxmiiea++uo+K9dDqd8Pv9UKvV0iB5\\\n",
       "8fyUSmVYhVCswK5YsQKff/45urq60NzcjFdeeQVFRUXIy8uTtvf5fFi1ahXuuecedHV1MfidRAyE\\\n",
       "RBQrGAiJiM5ibrdbGh4fCoWQmZmJiy++GElJSdi0aRNcLtdJP+aRQoVGo0EoFMLBgwfx2WefSc/E\\\n",
       "iWQyGcxmc5+ql0wmCws/0Tp5RhMIBFBWVob169ejtbUVCoUCPT09yM7O7ncJZTAYhNvtRnd3NwKB\\\n",
       "gDQQXmyGIx4vEAjghx9+wJo1a9Da2opgMIj29nbYbDa4XC7k5eVBpVKhoqICq1atQmVlpTT7UFwK\\\n",
       "O2LECEyePBkJCQmorq7G+vXrpQoqcDh4dnR0wGq1IhQKSU1pxHsthkNxW5fLhY8//hivvPKKNB/S\\\n",
       "7/ejrKwMb7/9Nu655x4YjUYEg0Fs3boVDz/8MMPgKcBASESxgoGQiOgsJ1aePB4P4uLicNlll2HK\\\n",
       "lCno7OzEjh07Bqzm9W6ScrTPkCkUin63VSgUGD58OIYOHYqenp6oz9HJZDJYLJaoAaX3aAexetd7\\\n",
       "pEM0fr8fFRUV6OzshN/vhyAI0Gg0SEtLi/rcYDAYRFtbG9auXYvy8nJotVpceOGFGDduXFg1URAE\\\n",
       "OBwO6XnJQCAg7e/1eqHRaDBkyBAolUo4nU7peUPxOtRqNYqLi/HII4+gqKgIKpUKnZ2deOedd/Dy\\\n",
       "yy+jra1Nuo/d3d1oaGiA2+2G2WwOO1+xoig+j/npp5/i2WefhdVqle6tIAjo7u7GypUrMXToUJSU\\\n",
       "lMBms+Gpp55Ca2tr1Hvd+z4zLB47BkIiihUMhERE54hAIACNRoPBgwdDp9Nh3rx5qKqqgsfj6bOt\\\n",
       "2EBl4sSJGDduHAKBAHbu3IkdO3ago6NDCjaRFAoF1Gq1FLwiu4lmZmbiwQcfRFFREVpbW6N+aVar\\\n",
       "1cjLy4PH45HmFfb+jN7LJcXjiEGtv6Wfbrc7bNlnRkZG1HEXgiCgp6cHn3zyCV599VU0NzdDr9fD\\\n",
       "ZrMhJycHer1eWt7p9/tRVVWFysrKsPsh3ruFCxciMzNT+r25uRnPPfccrFYrVCoVRo8ejYceeggT\\\n",
       "J06UKpVqtRpTp07FqlWr0NHRId0/v9+Puro6NDc3IyEhQboHLpcLTU1N+PHHH1FeXo7169ejsrIS\\\n",
       "DoejTyAXl84+/fTTmDZtGnp6erB79+4+YU9cfqvT6aBWq6X/mNB7KSsREZGIgZCI6BwRCoXQ1tYG\\\n",
       "tVoNs9mMadOmYfny5VIn0t4sFgtWrVqFSZMmSUs3xW6l27dvx3XXXYeWlpaw6p64pFOpVPYJjDKZ\\\n",
       "DMnJyXjttdcwdepUKJVK6PV6XHLJJdi1axfsdjtkMhkMBgMmT56Miy66CA0NDaipqUFnZye0Wi2G\\\n",
       "Dh2KlJQUqamLz+dDW1sb2tvbkZqaikGDBknv9T6uWq3G+PHjsXbtWrS1tSExMRHjx4/vE1gFQYDd\\\n",
       "bsdbb72F5557Dq2trdJyzf/85z8YM2YMZs+eDYPBAI/Hg61bt+Kpp55CS0uL9DlyuRzJycl47733\\\n",
       "cOGFF0ph1mw2Y+HChbjuuuvQ1tYGhUKBpKQk6PV6qaGNWMltaWmB2+0Ouw6Px4MtW7bgueeew8UX\\\n",
       "X4y0tDQcOHAAn3/+OXbs2IHu7m5p/MRAvF4vdu3ahfr6emRmZsJisSAuLg52ux1+vx8KhQImkwlZ\\\n",
       "WVkYPHgwkpKSpNEVTU1NsNvtR/z3jA5jhZCIYgUDIRHROULs7mmz2WA0GhEKhaDRaPpsJ5fLMWbM\\\n",
       "GJx33nlhAUsmkyEuLg6TJk3Cyy+/jEceeQS1tbXSUPbejUqidarU6XSwWCxSAFKpVCgsLMTgwYPR\\\n",
       "0NAAg8GACy+8EPPnz0dmZiasVis++ugjbNiwAQBw6aWX4o477kB2drY0EL6rqwsNDQ0AgMTExD6B\\\n",
       "EDhctRwyZAiGDx8OtVqN5ORkqFQqdHR0SF1DA4EA3G43vv/+e7zzzjuw2WxSwJLJZOju7sbOnTuR\\\n",
       "nZ0No9GIqqoqvP/++6iqqkIgEJAqjwaDAffeey8mTZrUZxSEQqGA2WyGyWQKu6fA4bDu9XqxZcsW\\\n",
       "PPvsszh06FDYPfT7/WhpaUFpaSm2bNkChUIBh8MBp9PZb7W2P6FQCG63G1qtFgsWLEBRURE0Gg16\\\n",
       "enrQ1dWFnp4eeDweaVSH0+mESqVCSkrKMR0n1jEQElGsYCAkIjpHCIKA9vZ2bN++HQaDAYcOHQqb\\\n",
       "pydSKpXSbL5oFAoFfvazn8FoNOLRRx/F7t274fV6pfejVarE6tuePXtQUFAAlUoFv98PlUqFnJwc\\\n",
       "GAwGjB07Ftdeey3y8/MhCAJaWlpQXl6O2tpaBINBtLa2wmQy4Ve/+hUSEhIQCoWgUqmgUqmkZ+0i\\\n",
       "h7P3vqaEhARpmWhVVRU0Gg1yc3Oh0+nQ0dGB5uZmrF69GrW1tX0CrSAIqK2txf/93//B4XBgx44d\\\n",
       "qK+vD2sQExcXh8svvxy33nprn9EOosiQIFYFW1tb8frrr2P58uVhYVTcR3xG0OfzweFwSPse77N9\\\n",
       "giBg+PDhuPbaa5GYmBjW5VR8XrG8vBw//vgj2tvboVKpMGjQIKSnpx/X8WIRAyERxQoGQiKic4jb\\\n",
       "7ca6desQHx8vNXTp/WVUrNzFx8cP+DkajQaTJ0/Go48+iieffBJ79uyBz+eTxiZE093djaVLlyIn\\\n",
       "JwfZ2dlobW3Fzp070dHRAYPBgPPPPx/5+fkwmUwIhUKwWCxSEAoGg+js7MQnn3yCCy+8EMXFxVAq\\\n",
       "lUhOToZGo4FWq+3TlRT47/OD1dXVqKurk+bs1dXVYe3atdDpdIiLi5OWwzY3N8Pj8YSFMXFOYGNj\\\n",
       "I2w2G2w2Gzo6OqTOreJYj8LCQtx1111ITEzs8wW/9+f1FgqFcODAASxatAjfffed1Fk02r6R/3wi\\\n",
       "FAoFZsyYIc1K7P26yWRCYmIiOjs7pecRU1JSkJGRwUB4DBgIiShWMBASEZ1DAoEAdu3ahbS0NFit\\\n",
       "1rDAA0Ca7yd28OyPOD9v3LhxuPTSS9HZ2QmbzQav14tgMNincyhwuHK4bds2/P73v8eUKVNgtVqx\\\n",
       "ceNG2Gw2pKSkwO/3Q6vVSvMEMzMzMXHiRCm4hkIhtLS0YN++fSgqKkJcXJz0PKQ4iiHyi7Xf78fO\\\n",
       "nTvxzjvvoKKiAm63W6okitehVCqlcRL9PYcnhkVBEOD1euHz+cLumcFgwLhx48Jm/AH/XQrq8/mg\\\n",
       "UqmkmYNiVdZut+ORRx7BmjVrjnnp55HI5XJpSbAY1sVr1uv10ozESOI4DKfTCavVCrfbDb1eD4PB\\\n",
       "gOTk5JN6jj91DHpEFAsYCImIziFiqNq9ezcAhC257N2F82ieTZPJZNDpdMjMzERCQgLcbjfUajXk\\\n",
       "cnm/lUKPx4MNGzZg586dCAaDcLlcCIVC8Hg8aGhoCBshYTKZsGjRIlRVVaGsrAzBYFDqxqlSqaBU\\\n",
       "Ko84bmLnzp149NFHsW3bNqmiF0kMsAqFAkqlEgqFIiwQizMJe3dj7f054j1TKBTw+/1S1VAQBKnx\\\n",
       "y/79+zFq1ChceumlsFgsUCqV8Pl8WLNmDb766quTHgbFWY6TJ09GXFwcNm/ejObmZgQCAcjlcuTm\\\n",
       "5iI9PT3qvRP/riaTCcFgUHpGVKvV9ruMmIiIYhcDIRHROUQQBDidTjQ0NMBoNIZ1BRWDTDAYxMGD\\\n",
       "B9HT0wOj0ThglcPv96O1tRUej0caVaDVahEKheB0OvtUCntX2MTfgcNLWe12e1iVT6FQYNiwYXj9\\\n",
       "9dexdOlS/PDDD8jIyMDIkSOh1Wr7NG3pzefzYcOGDfjNb36D6urqqE1uep+TGIY1Gg2USmVYJVEM\\\n",
       "f2L47F3hE/d3uVzYsWOH1PAlLi4Ora2tWLRoEXbu3Am/34/4+Hj88MMPuP3225GZmYmuri58/PHH\\\n",
       "cLlcR/nXO3pyuRzp6emYN28eMjMzkZubi5UrV8Jms0Gj0WDWrFnQ6/X97q9SqZCfnw+j0QifzyfN\\\n",
       "ljzZwfWnjEtGiShWMBASEZ1DxEDW2toqLY/sHcLEJY4VFRWoqKhASkpK1GfzxG0bGxuxZcsWaUSD\\\n",
       "VqtFamoqtFotDh48GHUcQrT5hGKAiVzCqFAokJ+fj9///vfYvXs3QqEQRowY0e85iedVVVWF2267\\\n",
       "DQcOHIi6fDWSGGYtFgvcbjdaWlqkGYe9z1sul0tVRPHZxlAohJ6eHuzcuRPPP/88vv32WygUCpSV\\\n",
       "lWHHjh1Shc3r9eKLL76A0WjEFVdcIXXxFCuLkcS/SX9BVgym4jVHbhcMBiGXy5GUlISJEyeivr4e\\\n",
       "FRUVSEtLw1VXXTXgPVQoFMjOzkZaWhrcbjdkMhlcLpfU0IaOjIGQiGIFAyER0VksWqjw+/1wOBxS\\\n",
       "uBHfF0OFz+dDQ0MD/vznP2PYsGHIycmJ+oXV6/Xim2++QXl5OTo6OiCXy6FWq5GRkYHMzEzEx8dL\\\n",
       "cwTFpZSR5wVACi0TJkyIWvWTy+WIj4/H2LFjEQgEpOHw/fH5fPjrX/+K+vr6owqD4ufn5ORg3Lhx\\\n",
       "qK+vh91u7zMLUGwek5OTA6VSicbGRjgcDikU2u12VFRUYM+ePdL96R30xCWyNpsNMpkMqampmDVr\\\n",
       "Fvbs2YN9+/aFje9QqVRhQ+Ej5z2qVCqYzWYYDAa4XC7Y7XZ4vd6wqmVbWxvWr18vNekZMWIEtFot\\\n",
       "Ro8ejby8vAFDiBh+NRoNFAoFgsEgurq60N7efsT7SYcxEBJRrGAgJCI6y0Wrznm9XjgcDmi1Wmm5\\\n",
       "qPie2HFz06ZNuOmmm7Bq1SpYLJY+4xJaW1vx6aefoq2tTRpq3tPTAwDIz89HXl4eDAaD1Em0d8VN\\\n",
       "fOZOqVTCbDbj8ssvR35+fr9fjMWwqVAoBgyDANDR0YHNmzf3CaDiMs/ISppKpcK4ceMwdepUTJgw\\\n",
       "AdXV1Th48CDsdnvYZ6jValxxxRVYsGABWltb8fLLL2P37t1hnxkMBuHz+fqM8pDJZFAoFEhNTcW0\\\n",
       "adMwcuRI6PV6ZGZmoqCgAP/617+wfft2+Hw+JCcnIysrC3q9HjU1Ndi5cye6urqkjrBarRYFBQWY\\\n",
       "NGkSTCYT9uzZg23btqG9vV2qxopLg7/99lv4/X6kpaXB5XIhLi4OSUlJUZvJ9ObxeLBt2zbU1dWh\\\n",
       "q6sLMpkMLS0tDITHgIGQiGIFAyER0Vmsv+WG4nBysXIXrbtmIBDAhg0bMGfOHKxevRoZGRnSF9dg\\\n",
       "MIgdO3Zg7969YdU/sZtlfHw8EhISEAgE0N7eDq/XK1XcdDodUlJSpPETgwcPxpQpU6DX66POERQE\\\n",
       "AX6/H93d3fD7/TAajf0+QxgIBFBZWQmn0yktqRTHaCQkJMDpdErdUIHDX8QTExNxxRVXYMKECcjO\\\n",
       "zkZ6ejr27t2L/fv3o7u7W1pWe9FFF+H5559HUlISnE4ntmzZgqqqqqgzF0ViKFCr1Rg8eDDuv/9+\\\n",
       "zJ49G0ajEXK5HHFxcbjwwgsxfvx49PT0SJXAYDAIh8OB7du348MPP8SOHTvQ09ODuLg4FBYW4rLL\\\n",
       "LsOQIUPgcDjQ3d2NXbt29QnsgUAATU1N+Oabb5CQkACFQgGNRgOfz4fRo0dj1KhRUKlUfc69p6cH\\\n",
       "7733Hp599lk0NjYiFArB5XJBr9dzOP0xYCAkoljBQEhEdA4Sh5CLQW6g4FhWVoaLLroI77zzjjT/\\\n",
       "r7OzE99++y26u7v7PL+mUCig1WphMBiQkJAgLW1UKpUwmUwYO3Ys5syZg1GjRsFsNkOhUEjBRKw0\\\n",
       "ihU2v9+Prq4uVFZWYuPGjXA4HBg1ahSmTZuGtLQ0qFQq6ct0IBDAgQMHsGLFCmlpaWJiImbMmIHZ\\\n",
       "s2cjOTkZP/74I1577TVUVFTA6/VCoVAgKSkJOTk5SEpKQlxcHJRKJaZNm4Yvv/wS+/btgyAIyMrK\\\n",
       "wgsvvIC0tDSpullcXIy333476n0T78GgQYOQlZWFadOm4ZprrkF+fj40Gk1YAFAqlTAYDDAYDFJ1\\\n",
       "LxQKIT4+XurYmpeXh+7ubmRmZmLMmDHIzs6W3vN6vfB4PH3+DuLzoG1tbejo6JCOWVtbi9raWtx/\\\n",
       "//0oKSlBXFwcgMNVwaqqKvzlL39BaWkpenp6pM/z+/2oqamBWq0+rn/fYhEDIRHFCgZCIqJz2NEM\\\n",
       "OhcEAfv378esWbMwd+5cXHfddairq8P69esRCATCum9qtVoYjcaweXsajQY6nQ4ajQZDhw7FVVdd\\\n",
       "halTpyI+Pl56Ps3r9cLpdKK1tRVutxtdXV2oq6vD5s2bsXnzZqnraSgUglKpRFJSEkpKSjBr1izk\\\n",
       "5+fD6/Xihx9+wMcff4za2loEg0EMGjQIt956K2688UZpfl56ejr27duHuro6aQRDIBBAZ2cnuru7\\\n",
       "kZCQAABITk7G8OHD0dnZCY1GgwceeABDhgyRqpIKhQJDhgyBVqsNG0chVgOLiopw11134dJLL4XJ\\\n",
       "ZJK6lx7pi3/vsRtqtRqJiYkYPXo0MjIyoFAoEB8fD7PZDKVSCafTCYfDgUOHDkn3JtrfLhAIhHUH\\\n",
       "9Xg8WLduHcrLy5Gbm4vc3FwEAgHs37+/38/y+/3o6OhARUXFTyK8/OpXv0JGRsaZPg0iop8EBkIi\\\n",
       "ohggPpO2YsUKfPzxx1IzE7GTpfhsW2JiIiwWC0wmE7RaLeLi4mAwGKQlktnZ2cjOzoZer5ca2gSD\\\n",
       "QdhsNmzbtg3ffvstduzYgcbGRqlRSmTly+fzweVy4dChQ1i9erX0OWLXT+C/FbqSkhKkpKRArVYj\\\n",
       "FApBrVb3aaTT1dWFTZs2Sc/oKRQKHDp0CEqlEunp6dISzciunAkJCcjIyJCWesrlciQmJuLXv/41\\\n",
       "fv3rXyMxMfGIz+oNRFzumpSUBLPZLDWakclk8Hq96O7uRm1tLQ4cOBDWUCba3y6SuCS1srISlZWV\\\n",
       "/W7XWyAQQFdX13FfT6xhhZCIYgUDIRFRDBHnC/b09IRVs8Tn0+Lj45GcnIyEhAQYDAb4/X7k5ubC\\\n",
       "6/VCJpMhPT0dGo1GGnju8/mwf/9+fPDBB/j000/R0NAQNgNwIOKS0mgjGwRBQGdnpxSUQqGQNDOx\\\n",
       "oqIirArmdDqxceNGHDp0CNXV1fD5fNizZw9qa2shCIL0vGIoFJKG1vt8Png8HhQXF0uNbiZMmIC7\\\n",
       "7roLI0eOPOGlleKSXgDQaDTSUlaZTIZAIACv14uDBw9i+/btsNlsR9VNtb/jHItoVUiKjoGQiGIF\\\n",
       "AyER0TlGDHDics1oDWWOJHJYO3B4zEJHRwdsNhtCoRDMZjP0ej3UajVSU1Ph8XikZ9+6u7vR0dGB\\\n",
       "yspKvPXWW9iwYYM0wuFYzyUaQRDQ0dGBTz75BFlZWYiPj4fVasWqVauwefNm6Zk78bxramrQ0NCA\\\n",
       "LVu2wOv1wuv1IhgMQqFQ4LvvvsPo0aMxe/ZsGAwGOJ1O7NmzB+Xl5UhNTcXChQsxYcIEjBgxQqqE\\\n",
       "nohQKASfzyc1/VEqlVKHVTGMdnZ2YufOndizZw9cLtdJuWd0cjEQElGsYCAkIjqHiEs7LRYL4uPj\\\n",
       "Ybfb0dHRAbfbHTayINp4hmh6b9vT04P6+np8//33yMvLQ3Z2NlJTU5GSkoKhQ4fC5XIBONxExWq1\\\n",
       "oqysDP/85z9RUVEhVQVPJo/Hg1WrVqG6uhqDBg1CXV0d9u3bJwVPUSAQgMvlks6v97XLZDLU1dXh\\\n",
       "sccew7Jly6BQKNDV1QWv1wudToeioiJccsklJzUMOhwONDQ0oKenB0lJSUhJSYFSqZSed/R4PNi7\\\n",
       "dy82b96MlpYWBAKBkxIIxSWqer0+rNGMx+ORjiEuV6UjYyAkoljBQEhEdA5RKpVISUlBcXExMjIy\\\n",
       "4HQ60dTUBJvNBp/PB5/PB7vdHrbc8miISxzdbjeqq6vx+eefY8KECcjKyoJGo0FycrK01LGzsxN7\\\n",
       "9+7F559/jl27dp2SMCieU1dXF77//nvIZLKwWYuR+ju+2JSlo6MDnZ2d0mtiEx2v14sZM2bgggsu\\\n",
       "OCnn29bWhn/+859Yu3YtTCYTfvazn+Hiiy+GVqsFcPjZv6amJnz11VeorKyM2gAmcvzE0VAqlcjL\\\n",
       "y8Mdd9yBadOmIT4+Hn6/HzabDT/++CN27twpzSRcv379CV9rLGAgJKJYwUBIRHSOEEOMXC6H2+2G\\\n",
       "z+dDSkoKsrOzYTKZEB8fj2AwiJ07d+LLL7/EgQMHwrpTHg1x6P2OHTtQV1eHsWPHSs/TiU1RAoGA\\\n",
       "VE30eDx9QsvxBJqBzud4n6+L9lmRn9vW1ob3338fl1xyCYYMGRJ27qFQCKFQSLrnR/rS7/F48NZb\\\n",
       "b+GFF16Aw+GASqVCXV0d9Ho9Jk+eDK1Wi66uLpSWluLbb79FR0dHn+qg+DcWz1E8prhNtPupUqlQ\\\n",
       "UlKCV199FQUFBWHNcwoKClBcXIyrr74aXV1d6OjoQHFx8XHcPSIi+qliICQiOkeI1S6bzYbt27ej\\\n",
       "vr4e+fn5KCkpQXFxMbKysiCTyZCVlYWamhocOnTomAOheByn04l9+/aFBSGxYqLX65GcnBw2mkJ8\\\n",
       "X6lUQqfTQa1Ww+VywePxnLRAdyoEAgGUlZXhtddew29/+1ukpKRInUsbGxuhUqmQnZ2N+Pj4sJmJ\\\n",
       "kcQmOKtXr0Z7ezuCwSA8Hg/KysrwxBNP4He/+x1GjBiBffv24fPPP0dra2vUpaK976X4ueJSUPH4\\\n",
       "oVBI6qgaFxeHKVOm4Omnn8bgwYP7LHkVnzVVq9UwGo0c1XAMWCEkoljBQEhEdA4JhUJwuVxwu91o\\\n",
       "b29He3s7TCYTLr74YsTHx0OpVKKgoAAWi2XAzxEHx/cnGAxi//79UZdiqlQq5OTk4LzzzkNTUxMc\\\n",
       "DgcAQK/XIzc3F4WFhdDpdNi1axcqKyvhdDrP6u6WPT09ePvtt2G1WnH++eejqakJP/zwA1pbWzFq\\\n",
       "1CjceeeduOCCC6RupP19+ff5fOju7g7rsOrz+bBjxw48+eSTuOKKK9DR0YH6+voBw2DkM6AKhQKJ\\\n",
       "iYmYNWsWLr/8clgsFqlxjcFgQH5+PpKSkgZ8/rF3IyI6OgyERBQrGAiJiM4hvYOCuORx7dq1mDp1\\\n",
       "KgoKCqBWq6UxC/0FPrHiJFaaom0nCAJqampgt9ulSmBvZrMZF198MRwOBw4ePAiNRoNhw4Zh0qRJ\\\n",
       "yMnJgcfjgdFohM1mg9/vD3ueUQyj0Z4HFIOLeH2no/um+Kzixx9/jC+++AJ+v18KbF1dXRg9ejSK\\\n",
       "ioqk5wDFc+odDgVBgF6vx/Dhw1FdXR0WgP1+P/bs2QOFQoGkpKSjCse9740gCMjNzcX999+PwYMH\\\n",
       "h4U6sYLIQHLyMRASUaxgICQiOov1fp4sWjgKBAJobm7G8uXLkZ2djZEjR+LgwYOorq7ud7moQqGA\\\n",
       "TqeD3++P+gygqKamBitXrsT1118Ps9kszfITxzqkp6dj6tSp6OrqQmJiIoYOHYqsrCxotVrY7XYU\\\n",
       "FBQgPz8fLpcL3d3dkMlkMBgMMJvNAACbzYaOjg74fL6wpZGJiYnQarVoa2tDT0/PaQuF4nX15nA4\\\n",
       "UFZWBofDAZPJJHU0dTqd0txGjUYD4HCF9Prrr8d3332H9vb2sM/x+XxoaWmBxWJBSkqKdN29ic8P\\\n",
       "Rs5wFAQBSUlJSE9PD3s+UNzneK71XLds2TK0trae0mMwEBJRrGAgJKKo/H4/fv/73+Pf//436urq\\\n",
       "YDabMWPGDDz11FNIT08fcN+lS5fimWeegdVqxZgxY/DSSy9hwoQJ0vsejwf33Xcf3n33XXi9Xsyc\\\n",
       "OROvvPIKUlNTT/VlnXOuvPJKtLW1Yd++fejo6Ij6PF4gEEBlZSXuvfdeTJkyBQ0NDaioqOj32T0x\\\n",
       "1A1UqRKrY3/+85/x7rvvoqCgABkZGUhLS0NCQgLUajV8Ph+0Wi3y8/ORmZmJnJwcxMfHQy6XQ6vV\\\n",
       "YujQoRg3bhw0Gg08Hg/S09NRXFyM4cOHQ6PRoKqqCm+88QYqKiqkICY+s1dYWIjq6mqUl5fD7Xaf\\\n",
       "nJt5HMSls83NzVKn1X379mHz5s1QKBSYOnUqhgwZAq1WC5VKhcmTJ2P69On46KOPwgK52MQmKysL\\\n",
       "KSkpsFqtsNlsfcJZf/8BIDI80qnHQEhEsYKBkIiicrlcKC8vx6OPPooxY8ags7MTv/3tbzFnzhxs\\\n",
       "27at3/1WrVqFJUuWYPny5Zg4cSJefPFFzJw5U5olBwD33nsvvvjiC7z//vswm81YvHgxrr76amzY\\\n",
       "sOF0Xd45Y8WKFfB4PNi6dSsefvhh7Nq1K2rQ8/v9qK6uRl1dHUKh0IDNZMRACAxcLQoGg9K4hrKy\\\n",
       "MigUCmg0GiQkJEjhMCUlBfn5+cjKyoLBYIBer4dCoUBcXBy0Wi1MJhMKCwsRCASQlZWFvLw8KTQW\\\n",
       "FBSgra0Ne/fulSqVPp8PLpcLubm5KCgogNPpRFVVVZ/rEatpR5q5KHYIFTuGHitBEGCz2VBTU4Pc\\\n",
       "3FwEg0E0NjZi165dcLlc0Ol0GDRokDR4PjExEbfffju+//57WK3WPp+XlpYGk8mEbdu29Qn4vZei\\\n",
       "CoIQVilsbGxES0sLjEbjcVcFg8Eg/H4/dDrdMe9PREQ/XQyERBSV2WzG119/Hfbayy+/jAkTJqCh\\\n",
       "oQHZ2dlR93v++edx22234dZbbwUALF++HF988QX+8Y9/4MEHH4Tdbscbb7yBf/3rX5g2bRoA4M03\\\n",
       "38SIESOwefNmTJo06dRe2DlGDFaTJk3CvHnzUFtbi+7u7qjbio1GgCMvCzyW+YTituIzh2Kw6O7u\\\n",
       "ht1uh1KpxPDhw8MalygUCuj1eqSlpUlBLzk5GQaDAWq1WuqQmZGREdbgJhgMwuFwIBQKITs7G8OG\\\n",
       "DUNdXV3Y0lGxm6lGo5GWevb3vKF4Tse7TFI899bWVni9XqlqpFAoEAwG4XQ64fF4EAqFpOvOyspC\\\n",
       "WloaWlpawo4rBlK1Wt1n6WfvbRQKRZ9uo11dXaipqUFeXl6/+w50DS6XC4cOHUJ9fT0uu+yy47kV\\\n",
       "MYcVQiKKFQyERHTU7HY7ZDIZ4uPjo77v8/lQVlaGhx56SHpNLpdjxowZ2LRpEwCgrKwMfr8fM2bM\\\n",
       "kLYZPnw4srOzsWnTJgbCCGKFKyEhAUuWLIHdbseyZcvg8Xiibn8qnw/rPbze5/PBbrfj0KFDaGxs\\\n",
       "hMlkwvnnnx/WyVKr1SIpKQkKhQLd3d2Ii4uTKmkymQxarRa5ubl9AmFbWxvq6+sxZcoU/PznP0d7\\\n",
       "ezs2bdokBTKNRoPBgwfjoosugtlsxvbt27Fp0yb09PRIzyP2PucTvSdutxtlZWWYNm0akpOTYbFY\\\n",
       "MHLkSDQ2NkKr1cLtdiMYDEKpVEIulyM1NRU/+9nPsHv37rCA3tPTg8rKSqSkpKC9vb3PeYn3N1r1\\\n",
       "02az4Y9//CMGDRqEoqKiow6FgUAAW7duxf/7f/8PlZWV8Hq9XH56lBgIiShWMBAS0VHxeDx44IEH\\\n",
       "cMMNN8BkMkXdxmazIRgM9nkWMDU1FT/++CMAwGq1Qq1W9wmVqampUZfYiSIbfoijDmKFTCaD0WjE\\\n",
       "U089hcLCQjz44IPo6Og4I+McxHmIYjh0OBx49dVXYbFYcMcdd0iBUKykud1ulJeXAwDGjh2LzMxM\\\n",
       "qFQqKBQK5OTkwGAwwGazSZ/vdruxZcsW/PKXv0RJSQlSU1PxxBNPYNOmTQgEArBYLLjzzjsxf/58\\\n",
       "qUGN1WrFli1bsGjRorCwFQqF4Pf7pS/3xxMO/X4/vvvuO4wZMwbXXXcdcnNzMWjQINhsNvh8PoRC\\\n",
       "IalpjlKphEwmQ2FhIeLi4sLCV3d3Nz755BPI5XJpv/7urRiaxWWjXq8X27Ztw7Rp0zBv3jw8/vjj\\\n",
       "yMzMlI4X7XO6u7vxxz/+ES+//DJD4HFi0COiWND/0CIiiikrVqyAwWCQftatWye95/f7cd1110EQ\\\n",
       "BCxbtuyMnN+TTz4Js9ks/WRlZZ2R8zjTVCoVrrzyStx8881IT0+HTqeTKlPRvryeypEEYvUqGAzC\\\n",
       "brdj+fLlsFqtYaHL7/fjhx9+wMsvv4wnnngCS5cuRXNzsxR0DAYDsrOzw85REAR0dHTA6/VCq9Ui\\\n",
       "PT0dOTk50jJNsZmNuPxUo9EgKysLV1xxBWbNmhV1Hp8YTo/3+Tu73Y4PP/wQu3btgt/vR1xcHOLj\\\n",
       "4yGTydDQ0IDKykrs3bsXDQ0NqK2tRVlZWZ9nPcXlp+IS06O5t72FQiH09PTg008/xTPPPIN9+/ZJ\\\n",
       "VVFxVIb443K5sGnTJqxatQp+v/+Yr5n++7+do/05WcciIjrdWCEkIgDAnDlzMHHiROn3jIwMAP8N\\\n",
       "g/X19VizZk2/1UEASE5OhkKhQEtLS9jrYrt9ALBYLPD5fOjq6gqrEvbeJpqHHnoIS5YskX53OBz4\\\n",
       "+9//fkzX+FMgzru74YYbkJ6ejvLycuzbtw+NjY3o7OyUnqeLdLzVsf5Efl4wGERtbS1eeukl/OlP\\\n",
       "f4JWq4UgCHA4HHjvvfdQVlYGn8+HAwcOIBgM4ve//z3MZjOUSiWKioqwcePGsMYxPT09aG1tRTAY\\\n",
       "RCAQQHt7O1wul/TvTlNTU1gIlsvliIuLwy233IIPPvgg7B7IZDKYzWYkJyfDbrejo6PjmENSMBjE\\\n",
       "jz/+iL/+9a9YuHAh8vPz0dHRgbKyMuzYsQNtbW0AAIPBAEEQUFtb2++y3hMhCAI8Hg9++OEHlJaW\\\n",
       "YsKECTCZTNJ9EJ+XbGpqwttvv42Ojo6fxJiJM+F0LRlNSko67n2JiE4GBkIiAgAYjUYYjcaw18Qw\\\n",
       "WFNTg2+//faIX1zUajWKi4tRWlqKuXPnAjhc1SgtLcXixYsBAMXFxVCpVCgtLcX8+fMBANXV1Who\\\n",
       "aEBJSUm/n63RaKR5b7Gk9zJZcfmj1+uFxWLBNddcg6uuugotLS1Yu3YtPvzwQ1RXV8PlcvWpMPX+\\\n",
       "ctu7OUvvpZRHu/y0v86dfr8fb7/9Nq6++moUFxdDJpOhubkZFRUVcLvdCIVCsNvtePvttzF48GD8\\\n",
       "/Oc/h0wmw7Bhw6DVasOa5fj9fuzcuROjR4/G/v37pdEUoVAIbrcbNTU1UYfajxkzBsnJyWhsbJRm\\\n",
       "GxqNRtxyyy2YP38+AoEAPvzwQ6xcuRLt7e3HtOTW5/Nh69atOHjwILKysqRGLXa7XRpk3/s+9zf2\\\n",
       "40jEZwhFvc9RqVTCZDIhJSUFNpsNa9asQVNTE/bv34+uri7I5XLodDoEAgHU1dUN2G2WBnY6AuFL\\\n",
       "L72Ejo4OaYwLEdGZwEBIRFH5/X5cc801KC8vx+eff45gMCg945eYmAi1Wg0AmD59OubNmycFviVL\\\n",
       "luDmm2/GuHHjMGHCBLz44ovo6emRuo6azWYsXLgQS5YsQWJiIkwmE+6++26UlJSwoUwU999/vxTW\\\n",
       "1Go10tPTMWbMGIwYMQJJSUlQKpWwWCxISkpCe3s7GhoapPAVqXfQEEdI6HQ6CIIAp9N5xNmEwOFA\\\n",
       "YjQaodPpYLfbw44lLvV86aWX8PTTT8NgMMBqtYZ1CBWXXz733HNITEzE6NGjpWdKe28XDAaxYcMG\\\n",
       "pKenY+fOnWhsbJSWmQaDQRw8eDBq4DKbzZg7dy5ef/11+P1+aDQazJ07F/fffz+SkpIgk8kwfvx4\\\n",
       "zJ07F/feey92797dJzQNNKrC5/OhoaEBhw4dAoA+Q+SPRe9Oor3DpFKplCp9wWBQqoTqdDoUFBTg\\\n",
       "8ssvx9ixY+HxePCf//wHX3/9NWw2m3QdcrlcekbzRJ6dpGO3Zs2asN/Hjh2LWbNm9bv9b37zGwCQ\\\n",
       "GiYREZ0JDIREFFVjYyM+/fRTAEBRUVHYe99++y0uvvhiAEBtbW1YQ5Drr78ebW1teOyxx2C1WlFU\\\n",
       "VIQvv/wyrNHMCy+8ALlcjvnz54cNpqe+XnvtNanaJ5fLYTKZcOmll+Lhhx9GSkoKVCoVlEolUlNT\\\n",
       "MWrUKCngRSMOjI+Li0Nqairy8vKQm5sLj8eD9evXY9++fQNWKeRyOZKTk3HllVciLy8PpaWl2Lhx\\\n",
       "Y9jSyFAohA0bNqCiogKFhYXo6enp8zmCIKCxsRHPPPMMbrjhBrjdbhiNRiiVSqnSJi67/OCDD2C1\\\n",
       "WuH1esNCZXd3d9Tql1KpxL333ovq6mrs27cPkyZNwh/+8AekpKRIYVin0+HCCy/E0qVLcfPNN2P/\\\n",
       "/v1S8BO7n5pMJrhcrqjNi8SgdiLkcrn0/KNcLpfGZkRWbOVyuRT6582bhwULFiArKwsKhQKtra34\\\n",
       "5ptvpOctReJoEI1GA5VKJf1Ox+Z4KoSlpaUoLS0Ne2+g/z0CwMcff3z8J0lEdBIwEBJRVLm5uUdV\\\n",
       "VThw4ECf1xYvXixVDKPRarVYunQpli5deiKnGBN6hy2ZTIb29nZs3LgRVqsVgwcPlr6IajQaZGZm\\\n",
       "Ii4urt+ukzKZDAaDAbm5uSgpKcG4ceOQn58PQRCQkpKCZcuWobOzs995fnFxcbj22mtx9913w2w2\\\n",
       "Y/To0di7d6+0PFM8TmdnJ3bs2IHMzExpHEOkQCCA6upqvPvuu1KDIKVSKQUXsWpZU1MjVS57V9LU\\\n",
       "anW/55mTk4NXX30VTU1NKCgoCAuDIvHZxTlz5mD58uXweDxS6E5ISMDYsWPR0dGBzZs3n/QwJZ5/\\\n",
       "amoqMjIyoFQq0d3dDYfDAZfLBY/HA7/fD0EQoFAoMGjQICxYsAC33XYbkpOTpZEUaWlpGDJkSNTz\\\n",
       "E68lKSkJDodDmu1IR+94AuH06dOl+arA4QphNNOmTYMgCEhPT8dVV1114idLRHQCGAiJiM4RYtWo\\\n",
       "s7MzrJun2EEzPj4ecXFx/e4vhrrs7GwUFhZiyJAhyMzMhEKhwKWXXopPP/0UnZ2dUfeVy+XIy8vD\\\n",
       "L3/5S6nj58SJEzF06FA0NTX16SxaX18Pl8slhZ9ovF4v6urq4HK54Pf7oVAopKWaAKRumWK4EUOh\\\n",
       "SqVCSkqKNN4ikjjOIisrS1r+GY1Go8GkSZPwv//7v1KFTaFQIDExEWPHjpXmD56KQKjT6ZCRkYHB\\\n",
       "gwdDLpejtbVVej5SbKQjCAKUSiXS09Mxa9YsJCUlSdci3odRo0b1G1p0Oh0KCwvR3t6OnTt3hlUR\\\n",
       "6ciOJxBOmzYNDz/88BG3X7t2LQCgqampzzFkMhnq6uqQl5d3jGdMRHR8OHaCiOgcIo4u6OrqCntd\\\n",
       "XOqo0WgG/BKrVqthMBhgNBoRFxcnPUeYlpaG9PT0fsOTQqFAYWEhsrOzpTEXYrUx2jk6nU74/X5p\\\n",
       "yWN/VUuv1wu73S49QyU+L9d72aQYeMUfjUYDi8XS77kCkI470DYymQwpKSlhgVUmk0Gv18NisSA7\\\n",
       "Oxsqlarf/Y+XuFxUr9dDr9dDq9VCoVAgFApJyzt7P5uYkJCAQYMG9bkWuVw+4H2Ii4vD6NGjMWrU\\\n",
       "KGi12pN+HT91p3LsxNNPP42srKywH1FWVhbDIBGdVqwQEhGdxY62GYhYLdq4ceNxHcdoNOLLL788\\\n",
       "pn10Oh3eeOMNvPHGGwNuJ3aTPdsoFApccsklaG5u7nebRYsWncYzOnbjxo2Dy+U64nZH+htRX6ey\\\n",
       "y+h9992H++67L+pnNDQ0HNNnERGdKFYIiYiIiIiIYhQrhEREREQRTtdgehFHgxDRmcJASERERBTh\\\n",
       "dAdCIqIzhYGQiIiIKAIDIRHFCgZCIiIioggMhEQUKxgIiYiIiCIwEBJRrGCXUSIiIiIiohjFCiER\\\n",
       "ERFRBFYIiShWMBASERERRWAgJKJYwUBIREREFIGBkIhiBQMhERERUQQGQiKKFQyERERERFEw6BFR\\\n",
       "LGCXUSIiIiIiohjFCiERERFRBC4ZJaJYwUBIREREFIGBkIhiBQMhERERUQQGQiKKFQyERERERBEY\\\n",
       "CIkoVjAQEhEREUVgICSiWMFASERERBSBgZCIYgXHThAREREREcUoVgiJiIiIIrBCSESxgoGQiIiI\\\n",
       "KAIDIRHFCgZCIiIioggMhEQUKxgIiYiIiCIwEBJRrGAgJCIiIorAQEhEsYJdRomIiIiIiGIUK4RE\\\n",
       "REREEVghJKJYwUBIREREFIGBkIhiBQMhERERUQQGQiKKFQyERERERBEYCIkoVjAQEhEREUVgICSi\\\n",
       "WMEuo0RERERERDGKFUIiIiKiCKwQElGsYCAkIiIiioJBj4hiAQMhERERUQRWCIkoVjAQEhEREUVg\\\n",
       "ICSiWMFASERERBSBgZCIYgUDIREREVEEBkIiihUcO0FERERERBSjWCEkIiIiisAKIRHFCgZCIiIi\\\n",
       "oggMhEQUKxgIiYiIiCIwEBJRrGAgJCIiIorAQEhEsYKBkIiIiCgCAyERxQp2GSUiIiIiIopRDIRE\\\n",
       "REREEcQK4dH+nOhnDxs27BRdCRHRwBgIiYiIiCKcykAoys3NRVpaGgBg7969eO21107mJRARHRUG\\\n",
       "QiIiIqIIpzIQCoIAQRCwf/9+NDU14eabbwYA3HPPPafgSoiIBsamMkT0k9bW1oZly5ad6dMgopOo\\\n",
       "ra3tlB/jeJrKrFmzJuz1sWPHYtasWUfcv7y8HACQnJx8jGdJRHTiGAiJ6CdNEAS0trae6dMgonPM\\\n",
       "8QTC0tJSlJaWhr0nCMKA+7a2tqKyshIA0NDQcBxnSkR0YhgIiYiIiE6C6dOnY9q0adLvY8eOPeI+\\\n",
       "qampAIAZM2acsvMiIhoIAyERERFRhOOpEE6bNg0PP/zwMR0DAMaPH4+vv/762E+SiOgkYFMZIjoq\\\n",
       "d955J2QyGV588cUjbrt06VLk5uZCq9Vi4sSJ2Lp1a9j7Ho8HixYtQlJSEgwGA+bPn4+WlpZTdOZE\\\n",
       "RMfuVDaV6enpkfYZOXJkn/+PJCI6nRgIieiIVq9ejc2bNyM9Pf2I265atQpLlizB448/jvLycowZ\\\n",
       "MwYzZ84Me47v3nvvxWeffYb3338fa9euRVNTE66++upTeQlERMfkVAZCg8EAANDpdBgxYgSuueYa\\\n",
       "XHPNNXj33XdPxaUQEQ2IgZCIBtTY2Ii7774bK1asgEqlOuL2zz//PG677TbceuutGDlyJJYvX464\\\n",
       "uDj84x//AADY7Xa88cYbeP755zFt2jQUFxfjzTffxMaNG7F58+ZTfTlEREftVM4gBAC3240PP/xQ\\\n",
       "+rnhhhtO4tkTER0dBkIi6lcoFMKCBQvwu9/9DoWFhUfc3ufzoaysLKw5glwux4wZM7Bp0yYAQFlZ\\\n",
       "Gfx+f9g2w4cPR3Z2trQNEdGZdjrmEEb7ISI63dhUhoj69Ze//AVKpRK/+c1vjmp7m82GYDAodc0T\\\n",
       "paam4scffwQAWK1WqNVqxMfH99nGarX2+9lerxder1f63eFwHOVVEBEREVF/WCEkIgDAihUrYDAY\\\n",
       "pJ+1a9fir3/9K956660TWhJ1sjz55JMwm83ST1ZW1pk+JSL6CTuVFUIiorMJAyERAQDmzJmDHTt2\\\n",
       "SD8bN25Ea2srsrOzoVQqoVQqUV9fj/vuuw+5ublRPyM5ORkKhaJPx9CWlhZYLBYAgMVigc/nQ1dX\\\n",
       "V7/bRPPQQw/BbrdLPwcPHjyh6yUiGggDIRHFCi4ZJSIAgNFohNFolH6//fbbMXv27LBtZs6ciQUL\\\n",
       "FuDWW2+N+hlqtRrFxcUoLS3F3LlzARx+DrG0tBSLFy8GABQXF0OlUqG0tBTz588HAFRXV6OhoQEl\\\n",
       "JSX9np9Go4FGozmRSyQiOmrHM4eQiOhcxEBIRFElJSUhKSkp7DWVSgWLxYJhw4ZJr02fPh3z5s2T\\\n",
       "At+SJUtw8803Y9y4cZgwYQJefPFF9PT0SCHSbDZj4cKFWLJkCRITE2EymXD33XejpKQEkyZNOn0X\\\n",
       "SEQ0AAZCIooVDIREdEJqa2ths9mk36+//nq0tbXhscceg9VqRVFREb788suwRjMvvPAC5HI55s+f\\\n",
       "D6/Xi5kzZ+KVV145E6dPRBQVAyERxQoGQiI6agcOHDiq1xYvXixVDKPRarVYunQpli5dehLPjojo\\\n",
       "5GEgJKJYwaYyREREREREMYoVQiIiIqIIrBASUaxgICQiIiKKwEBIRLGCgZCIiIgoAgMhEcUKBkIi\\\n",
       "IiKiCAyERBQrGAiJiIiIIjAQElGsYJdRIiIiIiKiGMUKIREREVEEVgiJKFYwEBIRERFFYCAkoljB\\\n",
       "QEhEREQUgYGQiGIFAyERERFRBAZCIooVDIREREREERgIiShWsMsoERERERFRjGKFkIjOSYIgnOlT\\\n",
       "IKKz3In8/4TT6Tzqyp/T6Tzu4xARnWkMhER0TnI6nfjjH/94pk+DiM5iTqcTZrP5mPYpLCwEAGRl\\\n",
       "ZR3z8cR9iYjOJTKB/5mdiM5BoVAITU1NMBqNMf38jsPhQFZWFg4ePAiTyXSmT+eM4X04jPfhMEEQ\\\n",
       "4HQ6kZ6eDrn82J+O+eSTT7B79+5j2qewsBBXXXXVMR+LiOhMYyAkIjqHORwOmM1m2O32mA4AvA+H\\\n",
       "8T4QEdGxYlMZIiIiIiKiGMVASEREREREFKMYCImIzmEajQaPP/44NBrNmT6VM4r34TDeByIiOlZ8\\\n",
       "hpCIiIiIiChGsUJIREREREQUoxgIiYiIiIiIYhQDIRERERERUYxiICQiOov4/X488MADOO+886DX\\\n",
       "65Geno6bbroJTU1NR9x36dKlyM3NhVarxcSJE7F169aw9z0eDxYtWoSkpCQYDAbMnz8fLS0tp+pS\\\n",
       "TsiRriXS+++/j+HDh0Or1eK8887Dv//977D3BUHAY489hrS0NOh0OsyYMQM1NTWn8hJO2JNPPonx\\\n",
       "48fDaDRi0KBBmDt3Lqqrq4+430/xXhAR0anDQEhEdBZxuVwoLy/Ho48+ivLycnz00Ueorq7GnDlz\\\n",
       "Btxv1apVWLJkCR5//HGUl5djzJgxmDlzJlpbW6Vt7r33Xnz22Wd4//33sXbtWjQ1NeHqq68+1Zd0\\\n",
       "zI7mWnrbuHEjbrjhBixcuBDbt2/H3LlzMXfuXOzatUva5umnn8bf/vY3LF++HFu2bIFer8fMmTPh\\\n",
       "8XhO12Uds7Vr12LRokXYvHkzvv76a/j9flx22WXo6enpd5+f6r0gIqJTSCAiorPa1q1bBQBCfX19\\\n",
       "v9tMmDBBWLRokfR7MBgU0tPThSeffFIQBEHo6uoSVCqV8P7770vb7NmzRwAgbNq06dSd/HE40rVE\\\n",
       "uu6664Qrrrgi7LWJEycKd9xxhyAIghAKhQSLxSI888wz0vtdXV2CRqMRVq5ceQqu4NRobW0VAAhr\\\n",
       "167td5tYuRdERHTysEJIRHSWs9vtkMlkiI+Pj/q+z+dDWVkZZsyYIb0ml8sxY8YMbNq0CQBQVlYG\\\n",
       "v98fts3w4cORnZ0tbXM2OJpribRp06aw7QFg5syZ0vb79++H1WoN28ZsNmPixIln1bUfid1uBwAk\\\n",
       "Jib2u02s3AsiIjp5GAiJiM5iHo8HDzzwAG644QaYTKao29hsNgSDQaSmpoa9npqaCqvVCgCwWq1Q\\\n",
       "q9V9QmXvbc4GR3MtkaxW6xGvXXztaD/zbBMKhXDPPfdg8uTJGDVqVL/bxcK9ICKik4uBkIjoDFqx\\\n",
       "YgUMBoP0s27dOuk9v9+P6667DoIgYNmyZWfwLOlMW7RoEXbt2oV33333TJ8KERH9xCjP9AkQEcWy\\\n",
       "OXPmYOLEidLvGRkZAP4bBuvr67FmzZp+q4MAkJycDIVC0adjaEtLCywWCwDAYrHA5/Ohq6srrErY\\\n",
       "e5uzwdFcSySLxXLEaxdfS0tLC9umqKjoJJ79qbF48WJ8/vnn+P7775GZmTngtj/1e0FERCcfK4RE\\\n",
       "RGeQ0WjE4MGDpR+dTieFwZqaGnzzzTdISkoa8DPUajWKi4tRWloqvRYKhVBaWoqSkhIAQHFxMVQq\\\n",
       "Vdg21dXVaGhokLY5GxzNtUQqKSkJ2x4Avv76a2n7vLw8WCyWsG0cDge2bNlyVl17JEEQsHjxYqxe\\\n",
       "vRpr1qxBXl7eEff5qd4LIiI6hc50VxsiIvovn88nzJkzR8jMzBR27NghNDc3Sz9er1fabtq0acJL\\\n",
       "L70k/f7uu+8KGo1GeOutt4Sqqirh9ttvF+Lj4wWr1Sptc+eddwrZ2dnCmjVrhG3btgklJSVCSUnJ\\\n",
       "ab2+o3Gka1mwYIHw4IMPSttv2LBBUCqVwrPPPivs2bNHePzxxwWVSiVUVlZK2zz11FNCfHy88Mkn\\\n",
       "nwgVFRXCVVddJeTl5Qlut/u0X9/RuuuuuwSz2Sx89913Yf8euFwuaZtYuRdERHTqMBASEZ1F9u/f\\\n",
       "LwCI+vPtt99K2+Xk5AiPP/542L4vvfSSkJ2dLajVamHChAnC5s2bw953u93Cr3/9ayEhIUGIi4sT\\\n",
       "5s2bJzQ3N5+Gqzp2A13LRRddJNx8881h27/33nvC0KFDBbVaLRQWFgpffPFF2PuhUEh49NFHhdTU\\\n",
       "VEGj0QjTp08XqqurT8elHLf+/j148803pW1i5V4QEdGpIxMEQTgztUkiIiIiIiI6k/gMIRERERER\\\n",
       "UYxiICQiIiIiIopRDIREREREREQxioGQiIiIiIgoRjEQEhERERERxSgGQiIiIiIiohjFQEhERERE\\\n",
       "RBSjGAiJiIiIiIhiFAMhERGdE9544w1cdtllp/w4X375JYqKihAKhU75sYiIiM40BkIiIjrreTwe\\\n",
       "PProo3j88cdP+bFmzZoFlUqFFStWnPJjERERnWkMhEREdNb74IMPYDKZMHny5NNyvFtuuQV/+9vf\\\n",
       "TsuxiIiIziQGQiIiOm3a2tpgsVjwxBNPSK9t3LgRarUapaWl/e737rvvYvbs2WGvXXzxxbjnnnvC\\\n",
       "Xps7dy5uueUW6ffc3Fz8z//8D2666SYYDAbk5OTg008/RVtbG6666ioYDAaMHj0a27ZtC/uc2bNn\\\n",
       "Y9u2baitrT3+iyUiIjoHMBASEdFpk5KSgn/84x/4wx/+gG3btsHpdGLBggVYvHgxpk+f3u9+69ev\\\n",
       "x7hx447rmC+88AImT56M7du344orrsCCBQtw00034Re/+AXKy8tRUFCAm266CYIgSPtkZ2cjNTUV\\\n",
       "69atO65jEhERnSsYCImI6LS6/PLLcdttt+HGG2/EnXfeCb1ejyeffLLf7bu6umC325Genn7cx7vj\\\n",
       "jjswZMgQPPbYY3A4HBg/fjyuvfZaDB06FA888AD27NmDlpaWsP3S09NRX19/XMckIiI6VzAQEhHR\\\n",
       "affss88iEAjg/fffx4oVK6DRaPrd1u12AwC0Wu1xHWv06NHSP6empgIAzjvvvD6vtba2hu2n0+ng\\\n",
       "crmO65hERETnCgZCIiI67Wpra9HU1IRQKIQDBw4MuG1SUhJkMhk6OzuP+LnBYLDPayqVSvpnmUzW\\\n",
       "72uRYyY6OjqQkpJyxGMSERGdyxgIiYjotPL5fPjFL36B66+/Hn/605/wq1/9qk91rje1Wo2RI0ei\\\n",
       "qqqqz3uRyzzr6upOyjl6PB7U1tbi/PPPPymfR0REdLZiICQiotPqkUcegd1ux9/+9jc88MADGDp0\\\n",
       "KH75y18OuM/MmTOxfv36Pq9/8skn+Oijj1BbW4s///nPqKqqQn19PRobG0/oHDdv3gyNRoOSkpIT\\\n",
       "+hwiIqKzHQMhERGdNt999x1efPFFvPPOOzCZTJDL5XjnnXewbt06LFu2rN/9Fi5ciH//+9+w2+1h\\\n",
       "r19xxRV4+umnMXLkSHz//fd45ZVXsHXrVrzzzjsndJ4rV67EjTfeiLi4uBP6HCIiorOdTOjdZ5uI\\\n",
       "iOgsde2112Ls2LF46KGHAByeQ1hUVIQXX3zxpB7HZrNh2LBh2LZtG/Ly8k7qZxMREZ1tWCEkIqJz\\\n",
       "wjPPPAODwXDKj3PgwAG88sorDINERBQTWCEkIqJz0qmqEBIREcUSBkIiIiIiIqIYxSWjRERERERE\\\n",
       "MYqBkIiIiIiIKEYxEBIREREREcUoBkIiIiIiIqIYxUBIREREREQUoxgIiYiIiIiIYhQDIRERERER\\\n",
       "UYxiICQiIiIiIopRDIREREREREQxioGQiIiIiIgoRjEQEhERERERxSgGQiIiIiIiohjFQEhERERE\\\n",
       "RBSjGAiJiIiIiIhi1P8HBf3Mxv3Pc+cAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[10] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAxixJREFUeJzs3Xd4FOXaBvB7tvdN75WEEAihJfQqoCAgIIqCIiqoiAoiKufg\\\n",
       "hw0L2EUUsPcCWIKKohRpoUPonYSQ3tv2MvP9wTVzstndkIQghH1+18X1HWZnZ9/ZwOfcPO/7vAzH\\\n",
       "cRwIIYQQQgghhPgc0dUeACGEEEIIIYSQq4MCISGEEEIIIYT4KAqEhBBCCCGEEOKjKBASQgghhBBC\\\n",
       "iI+iQEgIIYQQQgghPooCISGEEEIIIYT4KAqEhBBCCCGEEOKjKBASQgghhBBCiI+iQEgIIYQQQggh\\\n",
       "PooCISGEEEIIIYT4KAqEhBBCCCGEEOKjKBASQgghhBBCiI+iQEgIIYQQQgghPooCISGEEEIIIYT4\\\n",
       "KAqEhBBCWmTz5s1gGAabN2++2kMhrWzPnj2QyWTIzc391z+7oqICarUaf/zxx7/+2YQQ4osoEBJC\\\n",
       "CGnUsmXL8MUXX1ztYbTId999h3ffffdqDwMAwLIsXn/9dcTHx0OhUKBLly74/vvvm/z+6upqPPTQ\\\n",
       "QwgODoZarcYNN9yAAwcOuJ23cuVKTJkyBe3btwfDMBgyZEizx/p///d/mDx5MmJjY5v93ssVGBiI\\\n",
       "Bx54AM8+++y//tmEEOKLGI7juKs9CEIIIdeuzp07IygoyK0SyLIsbDYbZDIZRKJr898Xx4wZg6NH\\\n",
       "j+L8+fNXeyiYP38+Fi9ejAcffBA9e/bEmjVrsHbtWnz//feYNGlSo+9lWRYDBw7EoUOH8PTTTyMo\\\n",
       "KAjLli1DXl4e9u/fj/bt2wvnDhkyBPv370fPnj1x8OBBdOnSpVlV3IMHD6J79+7YsWMH+vbt29Lb\\\n",
       "vSwnTpxAp06dsHHjRgwdOvSqjIEQQnwFBUJCCGkCo9EItVp9tYdxVXgLhG3BtRIICwoKEB8fj4ce\\\n",
       "egjvv/8+AIDjOAwePBg5OTk4f/48xGKx1/evWrUKd955J1avXo3bb78dAFBWVoakpCTcfPPN+O67\\\n",
       "74Rz8/LyEBkZCZFI1KKf3eOPP46MjAycP38eDMO07IZbQWpqKrp3746vvvrqqo2BEEJ8wbX5T7qE\\\n",
       "EHIFFRQUYPr06YiIiIBcLkd8fDxmzpwJm80GAPjiiy/AMAy2bNmCRx55BCEhIYiKihLev2zZMqSk\\\n",
       "pEAulyMiIgKPPvooqqurXT7jzJkzuO222xAWFgaFQoGoqChMmjQJNTU1wjnr16/HgAED4OfnB41G\\\n",
       "gw4dOuCZZ5655Pib8j6r1Yrnn38eiYmJkMvliI6Oxrx582C1Wt2u980336BXr15QqVTw9/fHoEGD\\\n",
       "8PfffwMA4uLicOzYMWzZsgUMw7hMQfS2hnD16tVIS0uDUqlEUFAQpkyZgoKCApdz7rvvPmg0GhQU\\\n",
       "FGD8+PHQaDQIDg7GU089BafTecnvYM2aNRg9erTwM0xISMBLL73k8t4hQ4Zg7dq1yM3NFcYeFxfn\\\n",
       "9Zr33XefcF7DXy+88MIlx3Sp8drtdjzyyCPCMYZhMHPmTOTn52Pnzp2Nvv/HH39EaGgoJkyYIBwL\\\n",
       "Dg7GHXfcgTVr1rj8XKOjoy+rYpuRkYGhQ4e6hUFv30NcXBzuu+8+4ff835/t27dj9uzZCA4Ohp+f\\\n",
       "H2bMmAGbzYbq6mpMnToV/v7+8Pf3x7x58+Dp36ZvvPFG/Pbbbx5fI4QQ0nokV3sAhBDybyosLESv\\\n",
       "Xr2E9VjJyckoKCjAjz/+CJPJBJlMJpz7yCOPIDg4GM899xyMRiMA4IUXXsCLL76I4cOHY+bMmTh1\\\n",
       "6hSWL1+OvXv3IjMzE1KpFDabDSNGjIDVasWsWbMQFhaGgoIC/P7776iuroZer8exY8cwZswYdOnS\\\n",
       "BQsXLoRcLsfZs2eRmZnZ6Pib8j6WZTF27Fhs374dDz30EDp27IgjR47gnXfewenTp5GRkSGc++KL\\\n",
       "L+KFF15Av379sHDhQshkMuzevRubNm3CTTfdhHfffRezZs2CRqPB//3f/wEAQkNDvY7viy++wP33\\\n",
       "34+ePXti0aJFKCkpwZIlS5CZmYmsrCz4+fkJ5zqdTowYMQK9e/fGm2++iQ0bNuCtt95CQkICZs6c\\\n",
       "2ej38MUXX0Cj0WDu3LnQaDTYtGkTnnvuOdTW1uKNN94AcHEdXE1NDfLz8/HOO+8AADQajddrzpgx\\\n",
       "A8OHD3c5tm7dOnz77bcICQkRjpWXlzc6Np5Wq4VcLgcAZGVlQa1Wo2PHji7n9OrVS3h9wIABXq+V\\\n",
       "lZWFHj16uAW9Xr164aOPPsLp06eRmprapHE1pqCgABcuXECPHj0u+1r8n/0XX3wRu3btwkcffQQ/\\\n",
       "Pz/s2LEDMTExePXVV/HHH3/gjTfeQOfOnTF16lSX96elpeGdd97BsWPH0Llz58seDyGEEC84Qgjx\\\n",
       "IVOnTuVEIhG3d+9et9dYluU4juM+//xzDgA3YMAAzuFwCK+XlpZyMpmMu+mmmzin0ykcf//99zkA\\\n",
       "3GeffcZxHMdlZWVxALjVq1d7Hcc777zDAeDKysqaNf6mvO/rr7/mRCIRt23bNpfjK1as4ABwmZmZ\\\n",
       "HMdx3JkzZziRSMTdeuutLvfDcf/7LjiO41JSUrjBgwe7fc4///zDAeD++ecfjuM4zmazcSEhIVzn\\\n",
       "zp05s9ksnPf7779zALjnnntOOHbvvfdyALiFCxe6XLN79+5cWlpa418Cx3Emk8nt2IwZMziVSsVZ\\\n",
       "LBbh2OjRo7nY2NhLXs+TM2fOcHq9nrvxxhtd/hwAaNKvzz//3GUc7dq1c/sMo9HIAeD++9//NjoW\\\n",
       "tVrNTZs2ze342rVrOQDcunXrPL7P28/Omw0bNnAAuN9++83tNQDc888/73Y8NjaWu/fee4Xf839/\\\n",
       "RowY4fLnqG/fvhzDMNzDDz8sHHM4HFxUVJTHMe7YsYMDwK1cubLJ4yeEENJ8NGWUEOIzWJZFRkYG\\\n",
       "brnlFqSnp7u93nCK3IMPPuiyrmvDhg2w2WyYM2eOS6XmwQcfhE6nw9q1awEAer0eAPDXX3/BZDJ5\\\n",
       "HAtfKVuzZg1Ylm3yPTTlfatXr0bHjh2RnJyM8vJy4RffnOOff/4BcHFqIMuyeO6559wqTy1ZO7Zv\\\n",
       "3z6UlpbikUcegUKhEI6PHj0aycnJwvdT38MPP+zy+4EDByI7O/uSn6VUKoX/XVdXh/LycgwcOBAm\\\n",
       "kwknT55s9tgbMhqNuPXWW+Hv74/vv//e5c/B+vXrm/RrxIgRwnvMZrNQLayP/57MZnOj47nc9zdV\\\n",
       "RUUFAMDf3/+yrzV9+nSXP0e9e/cGx3GYPn26cEwsFiM9Pd3jz5wfQ1MrsoQQQlqGpowSQnxGWVkZ\\\n",
       "amtrmzz9LD4+3uX3/J5sHTp0cDkuk8nQrl074fX4+HjMnTsXb7/9Nr799lsMHDgQY8eOxZQpU4Sw\\\n",
       "eOedd+KTTz7BAw88gP/+978YNmwYJkyYgNtvv73R9V9Ned+ZM2dw4sQJBAcHe7xGaWkpAODcuXMQ\\\n",
       "iUTo1KlTk76PS/H2/QBAcnIytm/f7nJMoVC4jdHf3x9VVVWX/Kxjx45hwYIF2LRpE2pra11eq79O\\\n",
       "s6UefPBBnDt3Djt27EBgYKDLaw2nlTaFUqn0uH7TYrEIr1/J9zcX1wrr9mJiYlx+z//Zj46Odjvu\\\n",
       "6WfOj+FqNrYhhBBfQIGQEEK8uJyH7Lfeegv33Xcf1qxZg7///huzZ8/GokWLsGvXLkRFRUGpVGLr\\\n",
       "1q34559/sHbtWqxbtw4rV67E0KFD8ffff3vtONmU97Esi9TUVLz99tser9HwgfxqaayrZmOqq6sx\\\n",
       "ePBg6HQ6LFy4EAkJCVAoFDhw4AD+85//NKvi6smSJUvw/fff45tvvkG3bt3cXi8uLm7SdfR6vfBn\\\n",
       "KDw8HP/88w84jnMJOEVFRQCAiIiIRq8VHh4unFtfU9/fVHz4bUoo53kLj95+vp6Oe7oGP4agoKAm\\\n",
       "j4UQQkjz0ZRRQojPCA4Ohk6nw9GjR1v0fn6T7lOnTrkct9lsyMnJcdvEOzU1FQsWLMDWrVuxbds2\\\n",
       "FBQUYMWKFcLrIpEIw4YNw9tvv43jx4/jlVdewaZNm4Qpnd5c6n0JCQmorKzEsGHDMHz4cLdffAUv\\\n",
       "ISEBLMvi+PHjjX5eUys03r4f/lhrbXK+efNmVFRU4IsvvsDjjz+OMWPGYPjw4R6nOTa3urRt2zY8\\\n",
       "9dRTmDNnDu6++26P54SHhzfp18qVK4X3dOvWDSaTCSdOnHC51u7du4XXG9OtWzccOHDALezu3r0b\\\n",
       "KpUKSUlJzbpPb5KTkwEAOTk5Hl+vq6tzO8ZXnFsbP4aGjXgIIYS0LgqEhBCfIRKJMH78ePz222/Y\\\n",
       "t2+f2+uXmiY3fPhwyGQyvPfeey7nfvrpp6ipqcHo0aMBALW1tXA4HC7vTU1NhUgkEqb9VVZWul2f\\\n",
       "DwWepgbymvK+O+64AwUFBfj444/dzjWbzULH1PHjx0MkEmHhwoVuQaP+/anVardtNTxJT09HSEgI\\\n",
       "VqxY4XIPf/75J06cOCF8P5eLrzDVH6PNZsOyZcvczlWr1U2eQlpUVIQ77rgDAwYMEDqVetKSNYTj\\\n",
       "xo2DVCp1GSPHcVixYgUiIyPRr18/l3GcPHkSdrtdOHb77bejpKQEP//8s3CsvLwcq1evxi233OJx\\\n",
       "fWFLREZGIjo62uPfDwBuW4z8+eefsFgsV2RriP3790Ov1yMlJaXVr00IIeR/aMooIcSnvPrqq/j7\\\n",
       "778xePBgYUuGoqIirF69Gtu3b3fZFqGh4OBgzJ8/Hy+++CJGjhyJsWPH4tSpU1i2bBl69uyJKVOm\\\n",
       "AAA2bdqExx57DBMnTkRSUhIcDge+/vpriMVi3HbbbQCAhQsXYuvWrRg9ejRiY2NRWlqKZcuWISoq\\\n",
       "qtHtB5ryvnvuuQerVq3Cww8/jH/++Qf9+/eH0+nEyZMnsWrVKvz1119IT09HYmIi/u///g8vvfQS\\\n",
       "Bg4ciAkTJkAul2Pv3r2IiIjAokWLAFxs/798+XK8/PLLSExMREhIiNCgpj6pVIrXXnsN999/PwYP\\\n",
       "HozJkycL207ExcXhiSeeaOmPzUW/fv3g7++Pe++9F7NnzwbDMPj66689hpK0tDSsXLkSc+fORc+e\\\n",
       "PaHRaHDLLbd4vO7s2bNRVlaGefPm4YcffnB5rUuXLujSpQuAlq0hjIqKwpw5c/DGG2/AbrejZ8+e\\\n",
       "yMjIwLZt2/Dtt9+6TKOcP38+vvzyS+Tk5Aj7Jt5+++3o06cP7r//fhw/fhxBQUFYtmwZnE4nXnzx\\\n",
       "RZfP2rp1K7Zu3Qrg4rpZo9GIl19+GQAwaNAgDBo0qNGxjhs3Dr/88ovb9FYAOHHiBEaNGoWxY8ei\\\n",
       "sLAQS5YsgV6vx44dO/D9999j8uTJzf5uvFm/fj1uueUWWkNICCFX2tVobUoIIVdTbm4uN3XqVC44\\\n",
       "OJiTy+Vcu3btuEcffZSzWq0cx/2vbb6nrSk47uI2E8nJyZxUKuVCQ0O5mTNnclVVVcLr2dnZ3LRp\\\n",
       "07iEhAROoVBwAQEB3A033MBt2LBBOGfjxo3cuHHjuIiICE4mk3ERERHc5MmTudOnTzc69qa+z2az\\\n",
       "ca+99hqXkpLCyeVyzt/fn0tLS+NefPFFrqamxuXczz77jOvevbtw3uDBg7n169cLrxcXF3OjR4/m\\\n",
       "tFotB0DYIqDhthO8lStXCtcLCAjg7r77bi4/P9/lnHvvvZdTq9Vu9/f8889zTflPU2ZmJtenTx9O\\\n",
       "qVRyERER3Lx587i//vrLbTwGg4G76667OD8/Pw5Ao1tQDB482OsWEp62W2gup9PJvfrqq1xsbCwn\\\n",
       "k8m4lJQU7ptvvnE7j9+SIycnx+V4ZWUlN336dC4wMJBTqVTc4MGDPf4Z5b/Dlt7HgQMHOABu25YA\\\n",
       "4ObOnctNnDiRUyqVXHh4OPf+++9zK1as4FQqFffAAw9wHOf97w8/roZbpnj6s3DixAkOgMvfGUII\\\n",
       "IVcGw3FXYJ4HIYQQQtqsYcOGISIiAl9//bVwjGEYPP/883jhhReu+OfPmTMHW7duxf79+6lCSAgh\\\n",
       "VxitISSEEEKIi1dffRUrV64UthL5N1VUVOCTTz7Byy+/TGGQEEL+BbSGkBBCCCEuevfuDZvNdlU+\\\n",
       "OzAwEAaD4ap8NiGE+CKqEBJCCCGEEEKIj6IKISGEEEIuiVoOEELI9YkqhIQQQgghhBDioygQEkII\\\n",
       "IYQQQoiPoimjhJA2iWVZFBYWQqvVUidCQogLjuNQV1eHiIgIiETN/7fv1atX48iRI816T2pqKiZO\\\n",
       "nNjszyKEkKuNAiEhpE0qLCzEJ598crWHQQi5Rr344ovIy8tDVFRUs963evVq3HHHHS36zFWrVlEo\\\n",
       "JIS0ORQICSFtklarBQCqDhJCvOL//0RzNLcy2PC9TQ2EcrncZWsPhmHAsiwAIDMzEwMGDHB7z7Bh\\\n",
       "w7Bhw4YWj48QQjyhNYSEkDaJgiAh5FIu9/9PMAzTpF8t4XA4vI7xt99+E/53XFwcVCoVAGDjxo0t\\\n",
       "+ixCCGkMBUJCCCGEkAaaGgZbGgqdTic4jhOqgvUtXrwYHMeB4zjk5OTAaDRCp9MBAHr37n3Z90YI\\\n",
       "IfXRlFFCCCGEkAaaG/Q4jsOmTZtcjqWnp2Ps2LGtMh6TyQQAGDFiRKtcjxBCeBQICSGEEEIaaEnl\\\n",
       "LzMzE5mZmS7HOI677LGsXr1amGK6cOHCy74eIYTUR4GQEEIIIaSBlgTC/v37Y+jQocLv09PTL3sc\\\n",
       "mZmZQtfTZ5999rKvRwghDVEgJIQQQghpoCWBcOjQoa1awavfbXTatGlUHSSEXBHUVIYQQggh5BpT\\\n",
       "Pwzeeeed+PTTT6/yiAgh1ysKhIQQQgghDVzpLqNvvvkmgoKCEBQUBODiWsOgoCD07t3bJQwGBQXB\\\n",
       "YDBgzJgxGDNmDO1DSAhpdTRllBBCCCGkgcvZY7ApnnnmGdjtdpdjFRUVqKiowGOPPSYcKy8vx9q1\\\n",
       "a4Xf//333y4b2hNCyOWiQEgIIYQQ0sCVDoQU6ggh1woKhIQQQgghDVzpQEgIIdcKCoSEEEIIIQ1Q\\\n",
       "ICSE+ApqKkMIIYQQQgghPooqhIQQQgghDVCFkBDiK6hCSAhpssWLF4NhGMyZM6fR81avXo3k5GQo\\\n",
       "FAqkpqbijz/+cHmd4zg899xzCA8Ph1KpxPDhw3HmzJkrOHJCCGmeK73tBCGEXCsoEBJCmmTv3r34\\\n",
       "8MMP0aVLl0bP27FjByZPnozp06cjKysL48ePx/jx43H06FHhnNdffx3vvfceVqxYgd27d0OtVmPE\\\n",
       "iBGwWCxX+jYIIaRJKBASQnwFBUJCyCUZDAbcfffd+Pjjj+Hv79/ouUuWLMHIkSPx9NNPo2PHjnjp\\\n",
       "pZfQo0cPvP/++wAuVgffffddLFiwAOPGjUOXLl3w1VdfobCwEBkZGf/C3RBCyKVRICSE+AoKhISQ\\\n",
       "S3r00UcxevRoDB8+/JLn7ty50+28ESNGYOfOnQCAnJwcFBcXu5yj1+vRu3dv4RxPrFYramtrXX4R\\\n",
       "QsiVQoGQEOIrKBASQhr1ww8/4MCBA1i0aFGTzi8uLkZoaKjLsdDQUBQXFwuv88e8nePJokWLoNfr\\\n",
       "hV/R0dHNuQ1CCCGEEOIBBUJCiFd5eXl4/PHH8e2330KhUFzVscyfPx81NTXCr7y8vKs6HkLI9Y0q\\\n",
       "hIQQX0HbThBCvNq/fz9KS0vRo0cP4ZjT6cTWrVvx/vvvw2q1QiwWu7wnLCwMJSUlLsdKSkoQFhYm\\\n",
       "vM4fCw8PdzmnW7duXscil8shl8sv95YIIaRJKOgRQnwFVQgJIV4NGzYMR44cwcGDB4Vf6enpuPvu\\\n",
       "u3Hw4EG3MAgAffv2xcaNG12OrV+/Hn379gUAxMfHIywszOWc2tpa7N69WziHEEKuBVQdJIT4AqoQ\\\n",
       "EkK80mq16Ny5s8sxtVqNwMBA4fjUqVMRGRkprDF8/PHHMXjwYLz11lsYPXo0fvjhB+zbtw8fffQR\\\n",
       "AAj7GL788sto37494uPj8eyzzyIiIgLjx4//V++PEEK8aU7Yo1BICGnLKBASQi7LhQsXIBL9b7JB\\\n",
       "v3798N1332HBggV45pln0L59e2RkZLgEy3nz5sFoNOKhhx5CdXU1BgwYgHXr1l31dYqEEMKjQEgI\\\n",
       "8RUUCAkhzbJ58+ZGfw8AEydOxMSJE71eg2EYLFy4EAsXLmzl0RFCSOugQEgI8RW0hpAQQgghhBBC\\\n",
       "fBRVCAkhhBBCGqAKISHEV1AgJIRc9wICAq72EAghraiysvKKfwYFQkKIr6BASAi5rgUEBGDWrFlX\\\n",
       "exiEkFa0dOnSKx4KKRASQnwFBUJCCCGEkAYoEBJCfAUFQkIIIYSQBigQEkJ8BXUZJYQQQgghhBAf\\\n",
       "RRVCQgghhJAGqEJICPEVFAgJIYQQQhqgQEgI8RUUCAkhhBBCGqBASAjxFRQICSGEEEIaoEBICPEV\\\n",
       "FAgJIYQQQhqgQEgI8RXUZZQQQgghhBBCfBRVCAkhhBBCGqAKISHEV1AgJIQQQghpgAIhIcRXUCAk\\\n",
       "hBBCCGmAAiEhxFdQICSEEEIIaYACISHEV1AgJIQQQgjxgIIeIcQXUJdRQgghhBBCCPFRVCEkhBBC\\\n",
       "CGmApowSQnwFBUJCCCGEkAYoEBJCfAUFQkIIIYSQBigQEkJ8BQVCQgghhJAGKBASQnwFBUJCCCGE\\\n",
       "kAYoEBJCfAUFQkIIIYSQBigQEkJ8BW07QQghhBBCCCE+iiqEhBBCCCENUIWQEOIrKBASQgghhDRA\\\n",
       "gZAQ4itoyighhBBCSAN8IGzqr+aSy+Uu7xeJXB/JDAaD22ckJia21u0RQoiAAiEhhBBCSANXOhA6\\\n",
       "HA7hczzRarXC68HBwQCAc+fOYfXq1S28I0II8YwCISGEEEJIA1c6EDqdTnAcB5Zl3V4zGAzC/2ZZ\\\n",
       "FqWlpfjPf/4DALjjjjtaflOEEOIBBUJCCCGEkGtInz59AACBgYHCscWLF1+t4RBCrnPUVIYQQggh\\\n",
       "pIGWNJXZtGmTy/H09HSMHTu22Z+dk5MjvJ8QQq40CoSEEEIIIQ20JBBmZmYiMzPT5TWO41p9bIQQ\\\n",
       "0pooEBJCCCGENNCSQNi/f38MHTpUON7SCl98fDyOHTuGffv2tej9hBDSHBQICSGEEEIaaEkgHDp0\\\n",
       "KBYuXHjZn71r1y5otVpUVFQIx5577rnLvi4hhHhCgZAQQgghpIErvTH9m2++6dIohuM4BAUFISEh\\\n",
       "Abt37xaOi8ViBAcHo6SkBACwatWqZn8WIYQ0hgIhIYQQQsi/7JlnnoHdbnc5VlFRIVQF6+rqoNVq\\\n",
       "wbKsEAbbtWuHiRMn/utjJYRc3ygQEkIIIYQ0cKUrhDabrdHXNRoNNaQhhPwrKBASQgghhHjQkqBH\\\n",
       "CCFtDQVCQgghhJAGrnSFkBBCrhUUCAkhhBBCGqBASAjxFRQICSGEEEIaoEBICPEVFAgJIYQQQhqg\\\n",
       "QEgI8RWiqz0AQgghhBBCCCFXB1UICSGEEEIaoAohIcRXUCAkhBBCCGmAAiEhxFdQICSEEEIIaYAC\\\n",
       "ISHEV1AgJIQQQghpgAIhIcRXUCAkhBBCCGmAAiEhxFdQl1FCCCGEEEII8VFUISSEkGuYQqEAy7Jg\\\n",
       "WRYAoFKp8NZbb2H69OkQiRr/Nz2O4+B0OsEwDMRi8b8x3FbFcRysVitKSkpw4MAB/PHHH9i7dy/K\\\n",
       "yspgNpthMplgs9nAcZzH9zMMg0ceeQTvvfeex++K4zhUVFTg008/xfr162E0GiESiVBcXIz8/HzY\\\n",
       "bDaP1xWJRNBqtWAYBnV1dXA6nS26P7lcjh49euCOO+6Av78/tm7dil9++QXV1dVe76m5xGIx1Go1\\\n",
       "xGIxzGYz7HY7HA5Hq1z7ekcVQkKIr6BASAgh1zCxWAyGYYSAIJfLERIS0qQH0LYaBOtjGAZWqxWn\\\n",
       "T5/GwYMHkZeXB7PZDI7jwHGcy3fjSXBwcKPfld1uR3FxsRAyJRIJTCaTEMA94TgONpsNDMM0et6l\\\n",
       "2O12nDlzBuvWrUNkZCROnz7daMBtCZZlYTQahf/dmte+3lEgJIT4CgqEhBByDQsKCoLNZoPFYoFI\\\n",
       "JEKXLl3QtWvXJr+/LT+oMgwDkUgEo9GIXbt24cyZMzAYDEIQlEgkUCgUsNlsHqteYrEYqampXq/P\\\n",
       "cRzKysqQlZWFgoICOBwOiMViWK3WJge9SwXSxrAsi8rKSmzbtg0qlUr4ObcmvkpMmo8CISHEV1Ag\\\n",
       "JISQa9hTTz0Fs9mMmpoa6PV63HTTTYiMjPSZB1CRSASxWIyCggKYzWYhqDEMAz8/P9xwww0ICQnB\\\n",
       "jh07kJ+fj/LycmGabHh4OLp16+b1u7LZbFizZg0OHz6Muro6l4pjY4FQLBYjNDQUOp0OOTk5Qkht\\\n",
       "CZZlYTKZYDabAYAqeNcQCoSEEF9BgZAQ4tWiRYvw888/4+TJk1AqlejXrx9ee+01dOjQodH3rV69\\\n",
       "Gs8++yzOnz+P9u3b47XXXsOoUaOE1zmOw/PPP4+PP/4Y1dXV6N+/P5YvX4727dtf6Vtqcx566CEA\\\n",
       "F78zkUgEiURyybWD1xORSISwsDBERETg8OHDwnGlUolHHnkEs2fPhkajgdPphNVqxe7du/HVV1+h\\\n",
       "pqYGt99+O8LCwjxel2VZbN++HcuWLUNNTU2zKoLR0dF4/fXXkZycjO3bt+Oll15CUVHRZYW51g6C\\\n",
       "EokEUqkUNpuNKoQtRIGQEOIrfOepghDSbFu2bMGjjz6KXbt2Yf369bDb7bjpppuENUme7NixA5Mn\\\n",
       "T8b06dORlZWF8ePHY/z48Th69Khwzuuvv4733nsPK1aswO7du6FWqzFixIhWny53PZDL5ZDL5VAo\\\n",
       "FJDJZD4VBoGLD9oBAQF4/PHH0alTJ2i1WgQFBWHatGl44okn4OfnB4lEArlcDp1OhxtvvBGff/45\\\n",
       "fvjhB9x+++2QyWRuYcvhcGDz5s245557UFJS0qx1gEqlEq+//jrGjRuHlJQUPPDAA/jzzz/Rrl27\\\n",
       "ayIUiEQitG/fHu+88w6WLVuGtLS0Nr+OlBBCyJVFFUJCiFfr1q1z+f0XX3yBkJAQ7N+/H4MGDfL4\\\n",
       "niVLlmDkyJF4+umnAQAvvfQS1q9fj/fffx8rVqwAx3F49913sWDBAowbNw4A8NVXXyE0NBQZGRmY\\\n",
       "NGnSlb0p8q/iO4WazWaoVCrI5fJmX0MikWDAgAFYvXo1Dh48iKCgIHTv3h0ajcbr+RKJRJj66XA4\\\n",
       "hLV0FRUVWLp0KZYtWwaDwdCscTAMg/T0dNx8882QSqXCZ3Xu3Bmffvopbr31VlRVVTX7/lqLWCzG\\\n",
       "HXfcgWXLlkGn04HjOPTp0wc33XQT8vLyrtq42iqqEBJCfIVv/VMzIeSy1NTUAAACAgK8nrNz504M\\\n",
       "Hz7c5diIESOwc+dOAEBOTg6Ki4tdztHr9ejdu7dwjidWqxW1tbUuvwiEwON0Oi97yuLlXsPTNU+d\\\n",
       "OoW77roLw4YNw5IlS4S1cs0llUrRrl07jB8/HgMGDBC2fWgMwzBwOBw4efIk3n33XUyYMAHp6el4\\\n",
       "6623mh0GgYvhb/r06VAqlS7HRSIRevfujbFjx161apxUKsVTTz2FL774An5+fsLay4SEBDz88MMt\\\n",
       "CuK+jg+ETf1FCCFtFQVCQkiTsCyLOXPmoH///ujcubPX84qLixEaGupyLDQ0FMXFxcLr/DFv53iy\\\n",
       "aNEi6PV64Vd0dHRLb+W6wVffKioqUF5efsntEryxWCw4fPgw1q5di+zs7FZbc3b+/HmMGjUKa9as\\\n",
       "wcGDB7F48WIcO3bsku9rbF9BsVgsbMXRFFarFcuWLcOrr76K9evXo7S0tMX3p9FoMGDAAI/TduVy\\\n",
       "OaZNm+YWFlsL31VVJpNBIpEIIUQkEkGn0+H999/Hyy+/DJlM5vI+iUSCO++8E126dPHJKceXgwIh\\\n",
       "IcRX0JRRQkiTPProozh69Ci2b99+VT5//vz5mDt3rvD72tpafPLJJ1dlLNcKfj+84uJiVFVVITQ0\\\n",
       "FLGxsVAqlZd8QOWnU1ZVVeHTTz/Fxx9/jJqaGnTq1AmffPIJEhMTL+sh12q1Ys6cOcjNzRVCam1t\\\n",
       "Lfbv34+0tDSP13Y6ncjOzsbp06eRmpqKqKgorwGG4zihMspPEfV23rlz54Sw3NIKqEgkQvfu3b02\\\n",
       "qWEYBqmpqYiPj8fRo0dbrdLKMAw0Gg06d+6MgQMHIjg4GEVFRTh58iQMBgO6dOmC2bNnIyEhweN3\\\n",
       "xTAMIiIi8OSTT+K9997D+fPnW2VcvoKCHiHEF1AgJIRc0mOPPYbff/8dW7duRVRUVKPnhoWFoaSk\\\n",
       "xOVYSUmJ8CDN/9+SkhKEh4e7nNOtWzev1+Wbq5D/qb8XH8uyqK2thcVigUKh8Pogywcpg8GA/Px8\\\n",
       "fPnll/jmm29QUVEBlmWRlZWFn3/+GXPnzhXWyXnChzxPIYQPYVu2bHGrWCoUCq/jysjIwIwZM2A0\\\n",
       "GpGYmIjff/8dsbGxHs93OBw4fPgw9u3bh/T0dHTt2tVjKFQqlejTpw927twpjEUsFkMkErmsL+QD\\\n",
       "HP+dKpVKyGQyWCwWMAyD+Ph4LF68uNEKoFarxZQpU/DCCy/AYrEI21jw99ccDMNAJpNh8ODBWLx4\\\n",
       "MZKSkoQ///X3FpRKpZecpiqXy3HDDTdAqVTi+PHjzRqHL6M1hIQQX0GBkBDiFcdxmDVrFn755Rds\\\n",
       "3rwZ8fHxl3xP3759sXHjRsyZM0c4tn79evTt2xcAEB8fj7CwMGzcuFEIgLW1tdi9ezdmzpx5JW7j\\\n",
       "usUwDBQKBaKioqDX68GyLORyeaMPpyzLwmAw4OjRo9i7dy927NgBk8nksgdfVVUVnE6n10DIT1Pl\\\n",
       "OA5BQUGQyWQun+l0OrF161a3rrFyuRzp6ekex1dXV4cnnngClZWVwtrD9evXY9q0aW6hk+M45OTk\\\n",
       "4IknnsDp06fRpUsXfPnllwgODnYLhVKpFNOnT8f58+dx/PhxREdHY8yYMUhJSYFIJML58+exc+dO\\\n",
       "nDp1CgzDICUlBTfeeCOSkpKgUChQVVUFu92OsLAwBAQENPrdSiQS3HfffTh69KjQlZcPcbW1tcI+\\\n",
       "ivXDJ7+ViEwmg1gsFvZQDAoKwuzZszF9+nSo1Wq3z20srDckEong5+eHXr16ITExscnvI4QQ4hso\\\n",
       "EBJCvHr00Ufx3XffYc2aNdBqtcIaP71eL1RKpk6disjISCxatAgA8Pjjj2Pw4MF46623MHr0aPzw\\\n",
       "ww/Yt28fPvroIwAXH4LnzJmDl19+Ge3bt0d8fDyeffZZREREYPz48VflPtsysVgMlUoFhUIh7FV4\\\n",
       "qWqFWCyGXq9HYmIiBgwYALvdjvz8fHAch8TERAwfPtxr1cnhcODEiRP4/PPPUVtbizFjxmDo0KHQ\\\n",
       "6XRC1c1gMKCkpAQSiQQ2m00YV3JysteKX3FxMcrLy4WwxHEcKisrPZ5rtVrx4osvYvfu3XA4HNi1\\\n",
       "axe2b9+OESNGQKfTuZzLT5l85ZVXYLVaERoaCrVaLYTMXr16YeLEiS4hrf7313Ct66UEBQXhnXfe\\\n",
       "wdGjR4Xxl5WVYf369dixY4cQtiUSCfz9/dG9e3fceOON6NatG9RqNWpqamA0GhEdHY0OHTq02ppE\\\n",
       "iUQCrVbbKtfyFVQhJIT4CgqEhBCvli9fDgAYMmSIy/HPP/8c9913HwDgwoULLhWcfv364bvvvsOC\\\n",
       "BQvwzDPPoH379sjIyHBpRDNv3jwYjUY89NBDqK6uxoABA7Bu3Tqv0wlJ4/hmK00hEomgVquRlJSE\\\n",
       "hIQE9O/fHw888ADy8/NhtVoRHR2NuLg4j9fjOA61tbX48MMPsXr1apjNZvzxxx8YOHAgHnjgAaSk\\\n",
       "pEAul8NgMCAyMhJxcXE4d+4cHA4HFAoFRowY4db0hCeXyyGTyYQupHK53Gs16/Dhw/j1119hs9kA\\\n",
       "AEajEV988QWio6PRu3dvt4dzsViMsLAwofOmp++vtR7oRSIRAgICMGDAADidTjgcDtTW1iImJgZa\\\n",
       "rRZZWVmwWq1o164d7rnnHgwdOlTYSxFw7fbqbV1kS/DVyNbsInu9o0BICPEVFAgJIV415eFx8+bN\\\n",
       "bscmTpyIiRMnen0PwzBYuHAhFi5ceDnDIy1Qv1MnAKjVagQEBCAxMVH4eXurMrIsi/Pnz2Pjxo2o\\\n",
       "rq4Gy7Iwm81Ys2YNNm/ejB49euCWW25B165d0a5dO4wbNw4//fQTiouLIZPJUFJSgurqagQHB7td\\\n",
       "PzQ0FGPGjEFGRgZYlkW3bt3Qq1cvt/OcTifef/99GI1Gl3Ht2LEDS5YswaeffgqVSiW8xjfPEYlE\\\n",
       "/1qHzfrfsUQigVgsRufOnWEymRAUFASbzYbBgwfjhhtugF6vd7lHPrjx6x3rr0O8XCzLoqysDBER\\\n",
       "Ea1yvatpxowZXhv8tBYKhIQQX0GBkBBCfFxTH3ztdjsOHDiA4uJil60bHA4HKioqsHnzZpw/fx7T\\\n",
       "pk1Deno64uLi4O/vj4KCAtTW1uLnn39GTU2NMF24frVOoVDgvffew8iRI1FVVYWbbroJYWFhbuNy\\\n",
       "OBzYv3+/2z9W1NbW4o8//sBHH32ESZMmQa1Ww+FwwGg0QiqVwt/f/6rsESgSiYTPT01NhUQigcVi\\\n",
       "QUpKise1gTx+SxG+uUxrjN1sNmP37t2XfR1fQYGQEOIrKBASQgi5JKfTicrKSvz1119uzWJ4drsd\\\n",
       "58+fx5o1a8BxHC5cuICcnBxhywer1So0KFq+fDkmTJjgEnQCAgJw1113NboWUiQSITw8HCdOnHAJ\\\n",
       "hfzaxeeffx4fffQRtFotOI5DQEAA7rzzTkycONHrdNUrjW/+Ex4eDolEAqPReMmAarfbcezYMWRn\\\n",
       "ZyMpKQnJycmXvZ6wuroaf/7552Vdw5dQICSE+AoKhIQQQhrFb2mxZs0abNu2DQ6Hw+u5DocDJ0+e\\\n",
       "BMuyKC8vF7azqH+tiooKPPnkkxgyZAiCg4Nd3n+paZ0SiQSLFy/G+PHjUVRUJGwZwXdIraurw8mT\\\n",
       "JwFcfEiXy+XQ6XSYMGHCZXwDl4efQqpSqRAeHg6z2dxoOOU4DuXl5Xj77bexZ88ehISE4Omnn8bo\\\n",
       "0aO9br1SvymON3a7HXl5eZd3Mz6EAiEhxFf8OwsqCCGEtEksy6Kurg4ZGRl48803he0mvOE4Dmaz\\\n",
       "GdnZ2W5TS+szGAxeK42NYRgGPXr0QFZWFr788ktMmDAB7dq1g1KpdGnMwq8dtNlssFqtjW7TUH8f\\\n",
       "Qk/sdjuqqqqELSiawtP1RCIR5HI5NBrNJcdz7Ngx/PPPP8jLy8PBgwfx2muv4fz58277OgJwuU9P\\\n",
       "rwMXv7fAwEBERkY2afyEEEJ8BwVCQgghXjmdTmRlZeGdd95BXl5eo9VB4H+VEqfT6TWciEQiDBgw\\\n",
       "ACEhIS0ak0gkQnBwMKZMmYKVK1di7969ePnllzFgwAC3oCWRSJCent5oRc5ut8NsNnsMrzU1Nfjg\\\n",
       "gw8wYsQI3Hzzzfjyyy8bDbIcx8HhcMDhcHi8f37j+8Y6fnIch7Nnz6Kurg4OhwM2mw0nT57Ezz//\\\n",
       "7PbZLMuisrISmZmZ2LVrF2pqarxeNyAgAHPnzvU6duKKrxA29RchhLRVNGWUEEKIVw6HAwcOHEB+\\\n",
       "fv4lwyBwcYsHnU6HsLAw1NbWoqSkBFarVZjWKZVKcdNNN+GLL77wOv2xOcRiMQICAvDYY4/h7rvv\\\n",
       "xsMPP4w///wTNpsNIpEIkZGRuPXWW72u16sf4BqGRo7jsHnzZixevBjl5eUAgHPnziE0NBSjRo3y\\\n",
       "eE2r1YoLFy7AYrEgLi4OWq3Wa8dWu90OqVQKqVTqdg6/ryM/DrPZjJUrV2LgwIFIT0+HVCqFw+FA\\\n",
       "dnY2PvjgA2zfvh06nQ6zZ8/GLbfc4vG7lUgk6NevX9O+WEJTRgkhPoMCISGEEK9EIhH8/f0hl8uF\\\n",
       "7RAaVqD4h2GpVIrQ0FCMHTsWN9xwAxiGwaFDh7B//34YjUZ07NgR9913H7p169bqDV6kUilCQkLw\\\n",
       "+eef49NPP8WqVasgkUjw8MMPIzEx0esDO7/O0Fsnz/z8fNTV1Qn3XVlZiYULFyItLQ3h4eEu1zUa\\\n",
       "jfjxxx+xfPly2Gw2TJ06FTNmzHBrBsNxHKqqqrB//34AQEpKCsLDw4VgyDAMevfujfj4eJw4cQJO\\\n",
       "pxNOpxNnzpzB008/jXvvvRcJCQk4deoUvvnmG5w4cQI2mw1KpRK///47Bg0a5HFrDwCturfh9Y4C\\\n",
       "ISHEV9B/GQghhHgllUoxdOhQTJw4Eb/99hsqKipgt9td1t3xm9137doVjz32GAYNGgStVguxWIyx\\\n",
       "Y8eCZVmhscqV3gtQr9dj1qxZmDp1KqxWKwICAi5ZifRWPWQYBp07d4ZarYbZbAbwv/V9L730EhYu\\\n",
       "XAh/f38AQFVVFRYvXoxPP/0UdXV1YBgGr7zyCrp06SKEY57dbseXX36JZcuWwWg0IioqCk8++SRu\\\n",
       "vfVWqFQqMAyDuLg4vPbaa3jiiSeQk5MDh8MBi8WC/fv348SJE1Cr1bBarTAYDHA4HGAYBk6nExaL\\\n",
       "BRaLpVX3L/RVFAgJIb6CAiEhhPggi8UCm80GtVrd6PYHIpEIUVFRePHFF/HQQw8hOzsbZ86cwfHj\\\n",
       "x5GTk4O6ujoEBwfj5ptvxrhx4xAREXHVq1BSqRRBQUFN6rx5KSkpKRg+fDgyMjKE9XtWqxXffPMN\\\n",
       "srOzcdtttwEAvv/+e+zcuRNWq1V4b2VlJd5++23079/fJZTm5+fj3XffRUlJiVAtfO6559C5c2d0\\\n",
       "6dIFIpEIMpkMw4cPxyeffIKZM2fi5MmTcDqdsNvtqK2thcFgEO6L36swMjISgwYNgkqlavH9kv+h\\\n",
       "QEgI8RUUCAkhxAdt27YNJ06cwG233YaIiIhGH2jFYjH8/f3h5+eHTp06gWVZGI1GFBQUoLy8HCEh\\\n",
       "IYiJiYFSqbymHoxbYywajQZPP/00LBYLNmzYIOypaDQasXHjRmzbtg0Mw8Bqtbo1pWFZFkeOHEF1\\\n",
       "dTVCQ0OFYzt37kR5ebnQdMbpdKK0tBQXLlxAly5dhPdLpVL07dsX7777Lu6++26UlpYCgNBBVSqV\\\n",
       "QqFQICgoCOnp6bjtttvQv39/r+sWeY11VG0rli5disrKyqs9DEIIuS5QICSEEB/DcRz+/PNPHDly\\\n",
       "BB07dnRbC+cNXzERiUTQ6XRQq9WIj4+HVCq96lXB1sJxnEuHVIZh0L59eyxevBjvvvsuvv32W9TV\\\n",
       "1Qnn8VNJPWEYBna7HWVlZQgODhY6i1ZWVrqFMolE4vHnIBaLMXDgQDz22GNYtGiRUKWUyWSIi4vD\\\n",
       "hAkTMH78eCQmJgrVXpFIdE0F87aKKoSEEF9xffwXnBBCSLMkJibCbrcjMjKyRQ+z9dcENuf9NpsN\\\n",
       "hYWFqKyshL+/P0JCQqBQKFyu09rr3+pvXt/YdVmWRWlpKbZv3478/HzExMRg8ODB0Gg0iImJweOP\\\n",
       "P47Dhw9j165dXvdX5PHfj5+fH+rq6uB0OsEwDDiOQ2pqKnQ6HaqqqsBxHCQSCdLS0pCUlORxfDKZ\\\n",
       "DI888ghycnLw119/CSHx8ccfR0pKivD9kdZFgZAQ4isoEBJCiI9hGAaTJk2C2Wz22o3ySqiqqsID\\\n",
       "DzyA9evXw263Q6VSIS0tDY8++ih69eoFjUYD4GJoZBgGSqVS6G7aUizLoq6uDrW1tfD394darfZ6\\\n",
       "v3V1dXj55ZexatUqGI1GqFQqLFmyBLfccgsUCgVCQ0PRs2dP7Nmzx2MgFIlEkEqlUCqVUKlU8Pf3\\\n",
       "R3p6urC1hVgsBsMw6Nq1Kx555BF8/fXXMJlMSElJwbvvvgutVuv1Pvz8/PDqq6/i3nvvhVqtRkJC\\\n",
       "gtC4h1wZFAgJIb6CAiEhhPiggICAy67E2e122Gw2KBSKS04ZdTgceOyxx5CRkSFMx7RYLNi4cSN2\\\n",
       "796NlJQUdOvWDUqlEjU1NbDb7QgNDUWvXr2QlpaGkJAQyGQyYdoly7JgWRYSiUQIWg1xHIeKigq8\\\n",
       "/fbb2LVrF/r06YMnn3wSQUFBHs/dt28ffvjhB2FKp9lsxltvvYW0tDTExsYCANRqtceAyjAMwsPD\\\n",
       "MWvWLAwfPhwymQxVVVUwGAyQy+WwWq2QSqXCdNu5c+diwoQJsFgsiI+PF6aUeiMSiRAcHIygoCBh\\\n",
       "2i65sigQEkJ8BQVCQgjxUS19iOU4DhaLBYcOHUJ+fj769u17ycY0hw4dws8//yyEQR7LsqitrcXu\\\n",
       "3btx4MABSCQSIfBxHAeRSASFQoHAwEAkJCQgLCwMVqsVRUVFMJlMSEhIwKxZs9CrVy+3YGi327F0\\\n",
       "6VIsXboUFosFO3bswO7du7Fq1Sq3UGiz2fDVV1+hpqZGWN/HcRxyc3ORnZ2N8PBw2Gw2l9fr02g0\\\n",
       "ePPNN3HrrbcKeyza7XZUVlaipqYGFosFSqUSIpEIYrEYer0eqampQrhrys+CQuC/iwIhIcRXUCAk\\\n",
       "hBDiUf29Buuv7zOZTFi3bh3eeecdmEwm3H///XjooYegUCg8Xqe2thYPPPCA0BDFE5ZlYbVaXbZt\\\n",
       "4JnNZlRVVeHs2bMuD958Ve/333/HokWLMH78eGFNJMdxuHDhAj7++GMYjUYAF7t5btmyBWPHjsXa\\\n",
       "tWuFPQQ5jkNeXh4yMzPdpoJqtVoEBgZCJBLB6XSirq7ObXxisRi9e/fGqFGjXLaXkEql8Pf3B8dx\\\n",
       "sNlssFqtEIvFQnD1VtkkhBBC/k30z42EEELc8JucGwwGGI1GmM1mYauJTz/9FP/973+RlZWFc+fO\\\n",
       "YdOmTTAYDG6VM36PvTvuuAOHDx9ulXHxIbV+Fc9gMOD//u//MGPGDFRWVgpj//HHH1FeXu7yfpZl\\\n",
       "sXv3btx1110oLCyE1WpFdXU1fvzxR1RWVgpVIX5vv3nz5qFTp06Qy+WQy+VuU2MZhoFGo8GDDz4I\\\n",
       "tVrt9ppUKoVGo4HT6URVVRXq6upgs9ncKqUN79HpdMLpdF4XW0S0VfX/LDTlFyGEtFVUISSEkOsc\\\n",
       "39TE6XRCJBJBIpF4nX7IsiwsFguKiopQWFgIp9MJhUIBjuOQnZ2Nn376CVu2bBGmTvJr+Txd5+zZ\\\n",
       "s7j11ltx8uTJRgNQazAYDNi+fTtWr16NMWPGoKysDD/99JPH5i8sy2LDhg24++67MWXKFNTV1eG3\\\n",
       "334Dx3GQy+WQSqWIj4/HjBkzMH36dEilUgCASqVChw4doFAo4HA4AAByuRxDhw7F4MGDPX6n/JRX\\\n",
       "sViMkydPora2FmFhYYiLi0NgYCDkcrlLmODDrMlkglQqhVarbZUtPViWhc1mg8lkQkBAwGVfz1dc\\\n",
       "qaB39uxZtG/f3u14XV2d0FyJEEL+LRQICSHkOsZX0E6ePImzZ89CKpWiXbt2aN++vct2Bfxm68eO\\\n",
       "HcOvv/6KI0eOgOM4hISEwM/PDyUlJdi7dy8KCgpgs9lcKlcpKSku3Ts5jkNtbS1mzpz5r4RB/jOt\\\n",
       "Vit+/vlncByH48eP4+zZs14rbA6HAzt27MCpU6egVqthsVigVqvRqVMnTJ8+HePGjYO/v79LyJPJ\\\n",
       "ZBg3bhx27dqFffv2QaFQ4Oabb8asWbMQGBjoNTyIxWIolUocPXoUa9asgdlsRmpqKqZMmYLu3bsL\\\n",
       "jWqcTiesVisqKipQV1eHoKCgRjuPNue7qa6uxpdffomMjAxs2bLlsq/pC67kGkI+DIpEInTp0gWH\\\n",
       "Dh0Cx3HQarVUFSaE/OsoEBJCyHXMYrFg586d+OKLL3Ds2DGYTCYoFAp07doVKSkpiIiIgM1mw4kT\\\n",
       "J7B9+3acPXtW2GxdpVIhLCwMer0e+fn5KC4uht1ud7m+SCRCr169XNbO8Ruy5+XlXVYY5Jut8A1m\\\n",
       "GsOvzcvNzcV3332HCxcuwGAwNPoem82G0tJSSCQSKBQKJCQkYN68eRg5cqTL/dQfT3x8PJYtW4bq\\\n",
       "6mrodDr4+/sL3U8buw+1Wg273Y4zZ86gpqYGOTk5qK2txbx585CcnAyZTCZMFRWLxdBoNF47mtbH\\\n",
       "f7+NhRen04lly5Zh8eLFws+WXNq/0VSmfgWbpp0SQq4WCoSEEHKdcjqdyM/PR0ZGBvbs2YPy8nJY\\\n",
       "rVZhOucvv/wChmHgdDqFKaUNm8g4nU5IJBLY7XaP0y85jkNYWJjbw6yfnx9uv/12vPXWW7DZbMI1\\\n",
       "+eDW2Bo5kUiEuLg43HPPPfDz88O3336LrKwsr5vBSyQSqNVqyOVymEwmHD9+HAaD4ZKbx/P3x7Is\\\n",
       "GIZBVFQU+vXr5zEM8qRSKUJCQhAaGnrJa9cnl8vRo0cPSKVSOBwOGI1GnDlzBoWFhcKG9AzDCFt4\\\n",
       "8P+7sUDITwVmWRYymcxroKisrMR7770nNNchTdOSQLhp0yaX4+np6Rg7dqzX9yUkJODcuXMIDg5u\\\n",
       "+UAJIeQyUSAkhJBrWElJibDZeXM3abfZbDh27BhOnz4No9EohLr6Qcxb5Y3jOEgkEqSnpyMtLQ2/\\\n",
       "/vorysvL3Sp+/PUaPjhLpVIsWLAACoUCn332GUwmE8LCwjBs2DCkpKQgJycHq1atwvnz54X1eMDF\\\n",
       "aZmTJk3C22+/LXQBnTJlCm6++Wbs37/fbbwKhQLt2rVDcHAwLBYLcnNzYTAYYLfbXc6tv3dfw4oj\\\n",
       "36QmPj4eOp3ukt9rSyo5YrEYvXr1wrBhw/Drr7/C6XTCz88PQUFBkMlkLh1HpVJpk/YaZFlWuFc/\\\n",
       "Pz+vQfbw4cOorKxs9ph9XUsCYWZmJjIzM11e8/R3rKioCOHh4cjOznbrnEsIIf82CoSEEHINmzdv\\\n",
       "HrRaLdLT0zFixAiEhoY2KRTy1SOr1QqZTAaFQgGTyQSHwyFsy9DYwyfDMIiPj8e8efMQHR2Nnj17\\\n",
       "YtKkSSgoKHA5z+l0uh3jqVQq/N///R8effRRmEwmaLVaqFQqiMVicByHOXPmYOXKlfj4449RVlaG\\\n",
       "iIgILFiwAKNGjRL28gOAwMBAvPnmmxgxYoTLthQKhQJ33XUX7r77btTW1uLw4cP4+OOP3SqPfLUt\\\n",
       "MjIS/v7+KCwsRFlZmRAaGYaBSqXCwIEDG23gwp/bUjqdDgsXLkRERATOnTuHG2+8ER06dBCmnDb3\\\n",
       "2izLoqamBnV1dUIzHE9/Nk6cOPGvrOMkQP/+/TF06FDh9+np6R7PCw8PF/53aGgoSkpKAED4u0kI\\\n",
       "If8mCoSEEHINW7duHaRSKXbt2gWLxYJ77rnHbXsDT/gQ1K9fP0ilUmzYsAFZWVkoLS2F1WqFzWaD\\\n",
       "0WiE1Wp1m1rJMAzCw8ORkZGB+Ph4MAyD/v37Y+PGjejTpw+qq6uFczmOw44dO3DHHXd4DDRisRiB\\\n",
       "gYEIDAx0ey04OBiPPfYYHn30UeFzvd3LgAED8MQTT2DJkiVwOByIi4vDL7/8guTkZIhEIjgcDgwc\\\n",
       "OBAnT5506S7KMAzkcjluvvlmvPTSS4iJiQEAlJaWYsOGDcjMzIRarcbEiRPRt29fiMVit89nWRbl\\\n",
       "5eU4ePAgtFotUlJSoNVqmx3g+GmpCxcuFKapevq85lyPYRhUVlZCpVJ5XXMYExNDQaMFWlIhHDp0\\\n",
       "KBYuXNjkz2j4DxeEEHI1UCAkhJBrmF6vh1wuR3h4eJOrgzyJRIKQkBD069cPOp0OgYGBOHfuHJRK\\\n",
       "Jbp16waRSIT9+/djy5YtKCoqgs1mA8MwCAoKwrJlyxAXFyc8pDIMg8TERDzxxBNYuHChELg4jkNx\\\n",
       "cfFlVc+a8j6xWIz58+cjMTERlZWVuPPOOxEdHe0yzdLf3x8zZszAzp07UVBQAJZlIZVK0alTJzz1\\\n",
       "1FNo3769sIWERqPBAw88gPvvvx8cx0EsFnv9bq1WK3766Sd8+OGHMJvNGDJkCBYsWICoqKgW3bNI\\\n",
       "JGrWz9EbsVgMPz8/6PV62Gw22Gw2Yf1hfb1794afnx9NG22mf6OpDCGEXAsoEBJCyDVs5MiR0Gq1\\\n",
       "SE1NRa9evVymUl4KvzG6Xq9HTEwMYmNjYbFYEB8fjzvvvBNarRYPPfQQbDYbioqKcPToUVgsFqSn\\\n",
       "pyMuLs4ttIjFYsyZMwc//vgjjh49KoTA5ozpcuh0Otx3333CWBriO56+9NJL+Oyzz1BXV4cePXrg\\\n",
       "wQcfRJcuXYQwWP/8pgQzs9mMnTt3IicnBxaLBd9//z0sFgvee+896PX6Vrm3lmAYBmq1GuHh4air\\\n",
       "q4PVahX2PKwvJCQEH3zwAWbPno2qqqqrNNq2598IhGKxWNh2ghBCrhYKhIQQcg17+OGHoVAo4Ofn\\\n",
       "B51O16IphgzDwGAw4PDhwzh27BisVitUKpUQ5KRSKRITE5GQkCCc741Wq8Vnn32GESNGoLq6GlKp\\\n",
       "FOnp6f9aheRS969QKHDbbbdh+PDhYBgGWq32kt06L0UikSA4OBgikQgsy8JisWDLli04ffr0v3rv\\\n",
       "3sbm5+cH4GITIbvd7rYeUSQSYeLEiRg0aBAOHz58lUba9lzJQPjyyy9jwYIFYFkWBw8eFI6vX7++\\\n",
       "WdchhJDWcPlzVgghhFwxiYmJiI6Ohp+fX6MNTxpjNpuxadMmZGRkYNeuXVi1apXLOkBeUx6AGYZB\\\n",
       "165dMX/+fERGRiIlJQU333zzNTNljl87GRoaitDQUKhUqsuenqlUKjFmzBi0b99eqMCJRCIYDIYr\\\n",
       "ui7vUo1/gP9VgVUqFViWhdls9rjdhlgsRkREBEaOHHmlhnvd4f8+NPVXc/zf//2f8POt/2v48OFX\\\n",
       "6G4IIcQ7qhASQsg1jF8T1tgDZ2ONKTiOg9lsxsGDB1FZWSk0kblw4YLH/QObQiwWY9CgQdixYwdi\\\n",
       "Y2OvqT3ULrcTqCdisRjx8fHo1q0bioqKYDQaERAQAK1W26qf40nDfSE9YRhG+McCi8UCpVLpso0F\\\n",
       "IYQQ0hgKhIQQcg1rrLrldDpRXV2N8vJyiEQiIaTw+9jxamtrsXfvXphMJnAcB6fTicWLF2PVqlVu\\\n",
       "6+qagmEYJCQkYPbs2YiOjm7S3n1XCsuysFqtMJvNwvYRjW3S3hIikQiRkZF44oknEBsbixMnTqB7\\\n",
       "9+5C984rif958fsSevrHAf41p9OJsrIyWK1WhIeHe92XkDQNNZUhhPgKCoSEENIGWa1W/Pjjj1iy\\\n",
       "ZAlKSkqg1+sxcOBATJ8+HSkpKUIo4kOSw+FwqSRmZmairq4OAQEBzf5su92Oqqoq6PV6hIaGXtbW\\\n",
       "CS3FsiyMRiP+/vtvrFixAkVFRdBoNHj88cdx2223NbnRDb8/36Ue/qVSKRISEjB9+nSUlpZCo9FA\\\n",
       "p9NdMgh4mvLZnPDAcRxsNptQ2ZXL5VAoFJBIJMI/FvDTDQ0GAw4ePIi6ujoMHjwYKSkpLQr85CIK\\\n",
       "hIQQX0GBkBBC2hiWZbFu3TrMmTMHVVVV4DgOBQUFyM3NRU1NDd544w2EhYUBuFjdCg4ORnp6Os6f\\\n",
       "Py8EIKvVCovF0uzPLS0txbfffou9e/eib9++SExMbPX7A/4XpJxOp9tG83a7HcXFxfjqq6/w6aef\\\n",
       "oqysTJgq+vzzz6NXr15Cg5zGOJ1OmEwmoTsnP9XSG5lMhuDgYOj1enAcB4lE0ugUVYfDITR6AS5O\\\n",
       "/+V/NSVE89e12+3Iy8vDuXPn4HA4EB8fj3bt2kGr1UIsFoPjOFgsFmRnZyMjIwOnT5/GX3/9hUWL\\\n",
       "FiE1NbVVtrjwRRQICSG+ggIhIYS0MUajEStWrEB1dbXLBuwmkwl79+5FRUWFEAiBi503X3zxRWze\\\n",
       "vFkIT5GRkc2a6smyLDZu3Ij7778fpaWlAICDBw9i/PjxrbKWjmVZl+YafBXy4MGD2L59OwoKCiCX\\\n",
       "yxEaGgqlUomCggLs3LkTdXV1Lu8rLy/Hnj17EBcX12joYlkWBoMBZ8+eRXFxMQIDA5GcnAy9Xt/o\\\n",
       "w71YLIZcLheCtacKoNPphMViQVlZGfLz84VurP7+/ggNDUVQUFCTm90wDAOn04mioiJs374dFy5c\\\n",
       "gL+/PwYNGoS+ffsiKCgIHMchOzsbP/zwA7Zv3w6DwYDc3FzMmzcPK1euFLqQkuahQEgI8RUUCAkh\\\n",
       "pA3hOA7V1dUwGAxu2wsAF6tYarXa5TjDMEhKSsIPP/yAmTNnorKyEkuWLIFKpWry5xYVFeGee+5B\\\n",
       "SUmJcCw3NxenT5++rLV0HMfB4XDAbDYLlTR+X8S//voLq1atQk5ODmw2G0QiETQaDSIjIxEREYHw\\\n",
       "8HCwLIuSkhKYzWYAQEBAAPLz82EymbwGVY7jYDQasWvXLqxfvx6lpaWIioqCVCr1uF9hQ3yQczqd\\\n",
       "sFqtsNlsMBgMKC8vR1FREYqKilBYWIji4mIhtKtUKoSHhyM1NRVpaWmIiIiAXC5vcvXOarWipKQE\\\n",
       "Z86cgc1mw9mzZ3Hq1Cn06NEDDocDa9euxdq1a1FTUwOWZWG327F9+3b89ttvmDx5cos71PoyCoSE\\\n",
       "EF9B/4UghJA2gK9EORwOiEQijBo1CmVlZSgsLBSClE6nw4QJE1yqgzyRSITBgwdj+/btqK6uRnx8\\\n",
       "fJPDCMdx2LdvHyoqKlyO2+12oVrYUizLora2Fnl5ebBarZDJZGBZFnl5ecjJyUFVVRWsVqtw3zab\\\n",
       "DRqNBsOGDUP37t2hVCpRXV2N06dPo7S0FMXFxaitrcWRI0fQo0cPKBQKt8+0WCz4448/sHTpUuTm\\\n",
       "5oJlWYSGhiI6OhrJyclNWnfH70loNBqxbds2fPbZZ8jKyhK2opBKpVAqlVAoFMK6v/Pnz6OyshLA\\\n",
       "xemjISEhLg1w+Omn9X/PV06Bi5XhyspK1NXVobi4GOfOncPatWths9mQn58vVEvr3+eHH36IQYMG\\\n",
       "ISIiAiKRSJjqSgghhPDovwqEEHINq6urA/C/TpIMw0Cv12P69OkYPnw49u/fj6ysLBiNRvTp0wd3\\\n",
       "3nmnxxAEXAwxQUFBCAwMbFZFg2EY6HQ6twApkUgQFRV12dURi8WC8vJy2Gw2BAUFQa/XIzExESNH\\\n",
       "joTVasWOHTuEaZfJycmYMWMGhg0bBr1eL4xp4MCBMJlM2LVrF37++We8/vrrGDFiBKZMmeJSKeQ4\\\n",
       "DmfOnMHixYtx8uRJ2O12MAyD2tpabN68GXfeeSfUanWTxs2Hwo0bN2Lr1q0u+xKKxWKYzWao1WrI\\\n",
       "5XIYDAZUV1ejqqoKNTU1MBqNSEtLg7+/vxCsy8rKoFKpEBsbi6CgIEilUqGTbH5+PgoLC1FTUwOz\\\n",
       "2Sw0kSkpKRGqrA2nr7Isi9OnT+P333/HyJEjoVAowLIsoqOjL+vn5SuoQkgI8RUUCAkh5Bq2aNEi\\\n",
       "KBQKxMTEoFevXoiNjYVSqYRarUZQUBC6du0Ks9kMh8MBpVIJpVLZpM3lm6tHjx7o2LEjjhw5ApZl\\\n",
       "IRKJkJSUhC5durT01oSxqFQqBAUFAQDCwsKg0+kgFouRkJCAAQMGICcnB+fOnYNUKkXnzp0RFxcH\\\n",
       "hULhch8KhQIymQzt2rXD6dOncfDgQfzzzz/IzMzE8uXLhVDocDiwadMmnDlzBlarVQhRJpMJhw8f\\\n",
       "blajHZFIBJVKJXQC5dcVAq5rIutPiS0rK0NxcTFyc3ORlZUFnU6HM2fOICsrS6jAhoWFYejQoRgy\\\n",
       "ZAj8/f1x4cIFrF+/HtnZ2TCZTB43nvfGaDTijz/+AAAEBgZCLBYjJiamye+/Vs2YMcNjJbw1USAk\\\n",
       "hPgKCoSEEHIN++ijjyCTydC+fXuEhIQgISFBaJbCMAxkMhlkMlmTNjC/HDqdDj/++COeeOIJHDt2\\\n",
       "DImJiXj77bcvu2EJH6oiIyMhkUig0WggkUiE+1AqlUKXVI7jIBKJPE515SuoCoUC+fn5MBqN4DgO\\\n",
       "q1evRkpKCubOnQupVAqbzYYjR464hEHgYoArLy8Xpt82lUKhQN++ffHNN9+4XJPfLF4mk8Fut8Nk\\\n",
       "MsFms4HjOJhMJtTW1iI3NxdisRiVlZUwGo1CiKyurkZOTg7WrVuHhIQEmEwmnDx50qWJUFPZ7Xac\\\n",
       "OHECYrEYERERCAwMbNb7fRkFQkKIr6BASEgbl5OTg23btiE3NxcmkwnBwcHo3r07+vbt63XqIGk7\\\n",
       "jEaj0LREr9d7Xf91pR9I+c3oV69eDbPZDIVC4ValaymJRCJsoVA/DNb/7KZu0yAWi13W0tlsNqxY\\\n",
       "sQKTJk1CZGQkzGYzCgoKXKp5PJZlm71vn0QiwZAhQ9CuXTuhegpcDLpyuRwymQxmsxk2m00IcyzL\\\n",
       "wmQyCeHTbre7VRfNZjNyc3NRXl4uNMFpbhgELja+KSkpgd1uR0FBwRWvql1vKOgRQnwBBUJC2qhv\\\n",
       "v/0WS5Yswb59+xAaGoqIiAgolUpUVlbi3LlzUCgUuPvuu/Gf//wHsbGxV3u4pIX4yuC0adPQo0cP\\\n",
       "r8GIn554qapG/QYk0dHRwvTMpjz4MgwjBMHWxAe5po7jUhpO+ywpKcGvv/6KO+64A+fPn8fJkyc9\\\n",
       "BsJ27dq1qIIWERGB1157DQ888ACKi4vBsqxwLyaTyWOYY1kWNpsNgOetK4CLQdFgMABAi8Ig/zlm\\\n",
       "sxlFRUWoqKjA+fPnW3QdX0QVQkKIr6BASEgb1L17d8hkMtx333346aef3JpEWK1W7Ny5Ez/88APS\\\n",
       "09OxbNkyTJw48SqNllyOl19+GUFBQUhOToZcLvd4Dr+GzWazCVNIPT2gWiwWfPrpp3j33XdhNBrR\\\n",
       "o0cPzJo1C3369IFarW61QNZcfDfN1thA3Ww2ewxfx48fx/nz57Fz506h02d9IpEI48aNc6sQNiVo\\\n",
       "MwyDyMhI6PV6YVsOh8MhVCodDofH93kLgp7OaexchmEafZ3/fvlurYQQQkh9FAgJaYMWL16MESNG\\\n",
       "eH1dLpdjyJAhGDJkCF555RWqCrRhN9xwA8RiMWQymdfA5HQ6UV5ejry8PAQHByMqKsotPDocDqxa\\\n",
       "tQrz588Xqk5///03Tp48iWnTpuHWW29FVFQUVCpVk6Zntian0wmj0Shs1n45oTQnJ8ct9DAMg9LS\\\n",
       "Uhw/fhyZmZmwWq1u75PJZBgzZozbd1xRUYG6ujqEhIRApVJ5HJvT6cSxY8dQUlLi0u2TD6ZNCX6e\\\n",
       "8CG0sfdLJBIoFApYrdZG1z82HBO5NKoQEkJ8xeX/cywh5F/XWBhsKDAwEGlpaVdwNORKksvlkEql\\\n",
       "jVbP+EYlZWVlqKys9LgFgcViwW+//QaTyeTS/bK0tBSbN2/G/v37UVJSAqvV6nE65ZVkt9tRXV0t\\\n",
       "jK2lOI5DXl6e2zUYhhG2b6isrPR4fzKZTOh0Wv96p0+fxo4dO1BUVOQ1TFksFvzzzz9CRbDhr8vh\\\n",
       "rYkOf19+fn5ITk5GQEBAo39GmhNuyEX8d9bUX4QQ0lZRhZCQ60RpaSlKS0vdHnYvd1sAcnXx0zgb\\\n",
       "e+AUiUTQ6XQICgqCQqGA0+kUpjkC/6tg/fPPPy6hhg+Shw4dwnfffYfi4mIMHDgQycnJ0Gq1rTKF\\\n",
       "81KcTidOnz6Nn3/+GYmJiZgwYYLLvoH11Q9XDb8PjuNgtVrx22+/uf0dkEgkUKlUMJlMMJvNHq8d\\\n",
       "GxsLf39/l2NGoxHz5s1DXl4eUlJS8Morr6Bz585C4xuWZVFVVYX58+fj66+/btaWFfw9NBYYZTIZ\\\n",
       "NBoNLBaLW8hnGAYxMTFYvnw5unbtilOnTuHBBx9Edna223kikchlOrCnCilxRxVCQoivoEBISBu3\\\n",
       "f/9+3HvvvThx4oRLy3s+ENAUsbatKQ+aYrEYQUFBQpCSSqXC+ziOg91uF7Za8HZ9o9GI8+fPQ6/X\\\n",
       "Q6lUIjExsUl7Gl4OjuNQWVmJxYsXY9OmTVCr1bDZbLj33nshk8lczjObzTh37hxKS0sREREhTG8V\\\n",
       "iUTCJu1nz57FgQMH3AKRVqtFUlISYmJiEBERgSNHjrhMKxWLxRg4cKDLZ7Isi8OHD+PAgQOw2Wwo\\\n",
       "LS3Fvffei4cffhh9+/aFw+HA+vXr8dFHHyE/P79Zf8/47UIkEonXdX0KhQJJSUmIj4/HuXPncO7c\\\n",
       "OVgsFmHrjZCQEHzxxRcYMGAAxGIxQkNDsWrVKtx2221ClVQikSAgIAAdOnRAVFQUHA4HKisrsX79\\\n",
       "+ub+qHwSBUJCiK+gQEhIGzdt2jQkJSXh008/RWhoKD2YXMfqV/0aEovFUKlUHl/jq0tqtRomkwks\\\n",
       "ywr75AUHB6NPnz5IS0tDcHAwFAoFCgsL4efnh/Dw8CZtw9DYuBpjt9vx448/Yt26dTAYDKiqqsIr\\\n",
       "r7yC5ORk9OnTBxKJRNiXb/ny5fj0009RVVUFtVqNtLQ0TJ48GV27doVIJMKuXbuwceNGt4YxYrEY\\\n",
       "SUlJGDZsGEJDQ4Wgl5ubK4Q4tVqNAQMGuFREHQ4Hfv75Z2EKLd+Y5umnn4ZEIhGa+DR3ei3DMAgM\\\n",
       "DMSkSZOQmpqK3bt34/fff0dFRYXQWEev12PcuHG46667EBAQgKNHj+LLL7/EoUOHYLPZEBISgpdf\\\n",
       "fhn9+/cXtiERi8Xo2rUrvvvuO7zyyiuoqKjAwIEDMWnSJMTHx0MulwudTWkvwqahQEgI8RUUCAlp\\\n",
       "47Kzs/HTTz8hMTHxag+FXAH1HzQv56EzPDwcnTp1wpEjR2CxWODv74/BgwfjnnvuQceOHaFQKGCx\\\n",
       "WFBSUoLCwkKcPXsWCoUCQUFBXqeO2u12lJaWwmg0IiAgADqdziVAOp1OWCwWmM1myGQyoWENX7k+\\\n",
       "f/48li9fDoPBIASr4uJivPfee/D390d4eDhqamrw+eefY/ny5aiurgbLsqitrcW6deuwe/duJCQk\\\n",
       "QKPR4Pz586isrBS2cuC/L61Wi+nTpwudef38/HDhwgUsX74cVVVVEIlEiIiIQFxcnPA+viJ56NAh\\\n",
       "ly6fTqcTJpOpxT8D4GL1dtasWXjiiSegUqlw33334YUXXkBGRgYyMzMREBCAcePGIT09HRqNBgzD\\\n",
       "oH379ujVqxf27duHmpoa9OrVC6mpqW5hXSwWIy0tDStWrIDD4UBISAgUCoXbz+9y1zVeC5YuXeqx\\\n",
       "W2xrokBICPEVFAgJaeOGDRuGQ4cOUSC8TrXGgybDMAgKCkL//v3h7+8PiUSCadOmoXfv3i5rBR0O\\\n",
       "ByQSCXJzc7Fjxw5UV1dj6NCh0Ov1buOwWq345JNP8MEHH8BoNCIpKQnTp0/HwIEDhXVvWVlZ+P77\\\n",
       "73H69GmEhYXhtttuw6BBg6DT6VBdXY0PP/zQbc0bx3E4deoUVq1aheDgYGRmZmLjxo2oqqoSQiM/\\\n",
       "DZbvAAr8b3P3+hU7qVSKW265BWPHjhWm0wYHB+O+++5DYWEh/v77bzgcDiQnJ0OtVrs0gbHb7cLU\\\n",
       "29YMUBqNBnfffbcQ9sRiMaKjo/Hoo49ixowZYFkWEonEpdOrVCpF+/btkZCQAI7jhD0bPZFKpQgL\\\n",
       "C2u0GQ0hhBBSHwVCQtq4Tz75BPfeey+OHj2Kzp07u1UNxo4de5VGRq4VfPAICgpCSkoK4uLi0KdP\\\n",
       "H7fGMRKJBEqlEoWFhdi4cSN27NgBmUyGm266yW193Z9//umyhUVRURHOnDmDW2+9FZ06dcLRo0ex\\\n",
       "Zs0aFBYWwul0gmEYbNiwAV26dEH//v1RUVGBv/76S1gXB1xsjqNQKCCVSrFnzx4UFBTg/PnzwjTX\\\n",
       "hvi99Tx19OSnij733HMugVYsFiMiIgIPPvggxGIxCgoK0KVLF8hkMmFDeY7jIJVKMXjwYGzdulX4\\\n",
       "DJZlvYZDkUgElUoFtVoNg8HgtWNqQECAx6ndIpHI5TtuqLEQ6OlcqlhdPqoQEkJ8BQVCQtq4nTt3\\\n",
       "IjMzE3/++afba9RUhvAPtWVlZdi/fz9KS0thMBhw++23u1WQGIaBxWLBypUrceDAAbAsizNnzuCT\\\n",
       "Tz4R1qtxHIfS0lLMnDlTqM4BFytq+fn5+Prrr6HT6VBWVgaj0egSigwGA3bu3Ik9e/ZAJBLB6XQK\\\n",
       "6xn56Z2pqakICgoSNpKvPwW0/jj5Chh/jYavh4WFYfXq1WjXrp3bw7pUKkXnzp0xe/Zs5OXlQafT\\\n",
       "wc/PTwh9DMNApVJh+vTpiIqKwv79+3Hq1CmcPn0ahYWFLiFWLpdj6NCheOONN5CQkACxWIzq6mpM\\\n",
       "mzYNv//+u8v9i0QijB071utaz8tRvzr6b+8jeb2iQEgI8RUUCAlp42bNmoUpU6bg2WefRWho6NUe\\\n",
       "DrlGFRQUICsrC2VlZcjPz8esWbOg1WrdHmSLiopw4sQJYQuFvLw8fPnll+jWrRu0Wi04jkNOTg5q\\\n",
       "amrcPoNlWZhMJjidTqGq1hC/Fs9TiFMoFAgICIBUKoXJZPLYfRP4XyWRD7ANryUSiTB69GiPYZDH\\\n",
       "T63UarUuDXnqj1mtVmP48OHo1asXSktLsX//fvz22284duwYLBYLQkNDMXfuXNx1110um9YHBgbi\\\n",
       "7bffxpYtW1BbWytcT6lU4t577231qZz8lhtWqxUymUz4bsjloUBICPEVFAgJaeMqKirwxBNPUBgk\\\n",
       "XjmdTmRlZSE3Nxdmsxk1NTXYvXs3YmJiXKpJHMfh6NGjwgbrAGCz2bBt2zaUlJRAo9GA4zjU1dV5\\\n",
       "nMLJhz1+PV9j+LV59Zu2mM1mVFRUwM/Pz+v7GYaBXC4Xpl0WFxcL+y7yNBoNHnzwwUt2SOWnp/IV\\\n",
       "R47j4HA4hGobx3FQKBSQy+Xw9/dHaGgo2rVrhyNHjkClUmHEiBFITEwUOn3WH2N8fDymTZuG999/\\\n",
       "H06nE2KxGBMnTkRycnKjY2oJlmVhNpthNBqh1+tb/fq+igIhIcRXUCAkpI2bMGEC/vnnHyQkJFzt\\\n",
       "oZBrlNFoxI4dO2A0GsGyLJxOJzIyMnDrrbe6TS88e/asS2WO3yuwpqZG2F7Cz8+vxVUuvhLIMIzL\\\n",
       "voh8dTE/Px9yuVzYY9BTJVGtVqNz587w8/NDVlYWzp49K1QkpVIphg0bho4dO3p9SOeDKL9hOwCh\\\n",
       "qllVVYWysjKYzWYolUqEh4dDrVZDLpcjODgYOp0OaWlp0Gg0UKvVXr8HsViMF198ESaTCdu2bUO/\\\n",
       "fv3w+uuvN7pO8HJIJBKoVCrIZDKP911/nSVNKW0aCoSEEF9BgZCQNi4pKQnz58/H9u3bPbainz17\\\n",
       "9lUaGbkWcByH7Oxs5OTkuHTpPHDgAOx2O+Ryucv5RqPR7RoSicSlAU1oaCiUSiXMZrPLefwDdP31\\\n",
       "ffWJxWKEhYWhffv2OH/+PPLy8lxedzqdqK6uBgAkJCSgoqIC1dXVbl1IxWIxEhMT0bNnT3Tp0gV/\\\n",
       "/vknTp06BZZl0b59eyxYsABKpdLr98FXAUUikVCpdDgcOH/+PH766SdkZmbCZDIhMjIS9913Hzp3\\\n",
       "7oyAgABhOibf4OVSIUCn02Hp0qUwmUxQKpVu33Vr4RvaAO4NZTiOg81mQ35+Pg4dOoTc3Fw88cQT\\\n",
       "V2QchBBC2iYKhIS0cZ988gk0Gg22bNmCLVu2uLzGMAwFwjYuOzsbYrEYSqUSGo0GcrncY4Wnfmiq\\\n",
       "HwgcDge2bt3qtn9eRUUFzGYzNBqNy3FPjWaSkpIQHh4uXFer1UKv17vtA8dvdi+VSmG3212axkgk\\\n",
       "EnTv3h1PPvkk9Ho93n//feTn57vdg8VigUwmw+DBgyESibBp0yaXSiI/tdTpdCIxMRE9evRAv379\\\n",
       "hGt17NgR7du391i547uS2mw2iMVioZrGsiwqKyvx9ddf45tvvhFC6MmTJ+Hv7w+lUgmlUgmZTAaJ\\\n",
       "RCIEyaaQyWRXrCrI479fT/g1n8888wwyMzNhNBopEDYRVQgJIb6CNikipI3Lycnx+is7O7tVPuOD\\\n",
       "Dz5AXFwcFAoFevfujT179jR6/urVq5GcnAyFQoHU1FT88ccfLq9zHIfnnnsO4eHhUCqVGD58OM6c\\\n",
       "OdOisdWfCufp17Fjx4QHu7b4KzU1FSkpKejYsSP69euH9957z23dHMuysNlsMBgMsFgswmv8NMys\\\n",
       "rCy3qZdWq9Ut0DmdTtTU1Lg83KpUKsyePVvYN49hGEilUuh0Opfz+FCiUqmgUqmEtXn8lhdxcXF4\\\n",
       "8cUXcdNNN6Fbt25ISkry+PPk19v17t0bDz/8MDp16uQW7kwmE44fPw7g4r6CqampuPnmmzFq1Ch0\\\n",
       "6NDBYwBzOp0wGAwoKipCaWmpECr5zea3bt2KH374AWVlZbBarbDb7TAYDDhw4AAOHjyIiooKYSpt\\\n",
       "W3v4Ly4uxsGDB1FVVeVW1SXeNffv6rWouLj4mh0bIeTaQYGQkOtUUVERXn/99cu+zsqVKzF37lw8\\\n",
       "//zzOHDgALp27YoRI0agtLTU4/k7duzA5MmTMX36dGRlZWH8+PEYP348jh49Kpzz+uuv47333sOK\\\n",
       "FSuwe/duqNVqjBgxQuhsSf7HZDLBaDSisrIShw8fxjPPPIMHHngAZ8+ehc1mg8PhgM1mQ1lZGY4f\\\n",
       "P47Tp0+jqqpKqISVlZUhNzfXreOn0+nEnj17YLPZhGYweXl52LVrl/CAK5FIMGDAAAwdOtQllLEs\\\n",
       "67JWjT9Xr9cjMjISfn5+kEgkLlNIY2NjkZSUJFTb/P39vVbxHA4HIiMj0atXLzz00ENQq9Uu5zgc\\\n",
       "Dhw9ehRHjx4VxqJQKKBQKITPbXivNTU1OHr0KPbv34/8/HyYzWbY7XZYLBacPXsWH374IUpKSlym\\\n",
       "1TqdTlRWVuL06dO4cOGCy3YTbQXDMIiIiHAL8OTSrodAGBYWdrWHQAhpA2jKKCFt3LRp0zwez83N\\\n",
       "xZ49ezBv3rzLuv7bb7+NBx98EPfffz8AYMWKFVi7di0+++wz/Pe//3U7f8mSJRg5ciSefvppAMBL\\\n",
       "L72E9evX4/3338eKFSvAcRzeffddLFiwAOPGjQMAfPXVVwgNDUVGRgYmTZp0WeO9nvFTKjdu3Ii3\\\n",
       "334b//nPfxAYGAir1YqcnBzs3r0bNpsNnTt3RnJyMuRyOQ4ePIiioiK3azmdTnzwwQew2+2IiorC\\\n",
       "0aNH8dVXX+HUqVNCwxW9Xo8JEyZArVYLD7z8GPhzgItrDIODg9GlSxdERUXhwoULKC4uFqq0/JRM\\\n",
       "o9EoVC/1ej2kUqnbPoP8ej6VSgWdTochQ4YgLi4OR48edelIWl5ejq+++godOnRAamqqx60W+M+u\\\n",
       "rq5GZmYmtmzZApZlkZ6ejoiICCgUClRVVeGbb75BVlaWx20u7HY7ysvLkZeXhw4dOrS5Lp4MwyAq\\\n",
       "Kgq33norCgsLPW4XQjy7nqaM8mtlCSHEEwqEhLRxVVVVLr93Op3Izs7GiRMnsGzZssu6ts1mw/79\\\n",
       "+zF//nzhmEgkwvDhw7Fz506P79m5cyfmzp3rcmzEiBHIyMgAcHGKa3FxMYYPHy68rtfr0bt3b+zc\\\n",
       "uZMCYRNYrVb89ttvSE5OxuDBg2E0GrFt2zZs27YNtbW1OHDgALp06QKNRoONGzeitLTUY4Xw4MGD\\\n",
       "mDVrFpxOp9Bohe8kyncDFYvFsNvtLuvtampqIBaLhSYpUVFRGD16NPr06QOGYbBt2zYcPnxYCIRO\\\n",
       "pxMXLlzAsWPHEBERAYZhEBcXh5CQEJw/f95t/aNCoRDW6wUHB6N79+44fvy4S5Mah8OBPXv24I03\\\n",
       "3sB///tfpKSkQCaTuayv5JvU/Pnnn/jqq6+Ql5eHgIAAqFQqREREoK6uDtu2bcOPP/7otsay/jVM\\\n",
       "JhMqKythMplcvqO2QqlU4sEHH0R5eTn+/PPPqz2cNuN6CoSA6xg9NX0ihPguCoSEtHG//PKLx+Ov\\\n",
       "vPIKMjIyMGPGjBZfu7y8HE6n022Pw9DQUJw8edLje4qLiz2eX1xcLLzOH/N2jif8xtu8+ht++xqO\\\n",
       "41BTU4Pt27fDz88PJpMJhw8fFvYZrKurg8lkgkQiwfHjx2G32z1ew263CxW6hp08gYuhKz8/HwaD\\\n",
       "AUqlUtgGwmKxQK1WC50z09LSMHjwYMTHx8NkMiEkJMSt8Y3FYkFubi5sNpuwhUNsbCzy8vLcKnMa\\\n",
       "jUbolimVShEeHu72AMtXKrOysrB7927Exsa6dELl7y8vLw8bN27EmTNnYDAYYLfbhfW1UqkU27Zt\\\n",
       "c+tkWv8z+O0o+LWZ1xp+3I0FEoZhEBAQgFtuucVt3Si5/vF/Rt588028+OKLMBgMl9wnlBDiWygQ\\\n",
       "EnKdmjx5Ml5++eWrPYxWs2jRIrz44osux55//vmrNJqrz2w246+//sKBAwfAcRyqq6tdpnJmZ2cL\\\n",
       "zWY8BZn6m8J7wrIs6urqsGbNGvj5+eGWW25BUFAQnE4nbDYb0tPTERgYiO7du2PChAmIiIiAWCyG\\\n",
       "wWBAhw4dXLZ94DgOVqsVe/bswfjx4xEWFoZ27dphzpw5KCsrw8mTJ4UxymQyJCcnC01pJBIJOnfu\\\n",
       "DJVK5TbdkV/3+M4778DPzw9paWmIi4uDRCKB3W7HuXPn8NZbb2Ht2rUwGAzgOA5GoxGbN2/GiRMn\\\n",
       "YDQaUVBQ0GijFaPRiPz8fOTk5MBoNLp9Z/y01PpbWdRfG8lXE+vvedjamlKxVCgUuOGGG9CtW7cr\\\n",
       "MobrVVuo/DXE/3lr+Pd+ypQpeOqpp67SqAgh1zIKhIRcpw4dOoTu3btf1jWCgoIgFotRUlLicryk\\\n",
       "pMRrs4KwsLBGz+f/b0lJCcLDw13Oaexhdf78+S5TUWtra/HJJ580636uJ3y4qT/VseHUy8tdM2S3\\\n",
       "23HmzBksXboUJ0+exMSJExEbGwuNRoOxY8dCIpEgLi4O/v7+kEgkQjgKDAx0WXcIXAyYBQUFMBqN\\\n",
       "kEgkUCgUGDJkCF5//XU888wzwj6CwcHBSEpKEkIV35AmODgYdXV1bpUNPhS+//77uOmmmzB16lTo\\\n",
       "9XqUl5fj888/xx9//IHa2lrhfSzLorS0FGVlZWBZ9pKVEovFgvz8fGRmZqJnz57C1FSe1WpFfn4+\\\n",
       "9u/fj9LSUmg0GgQFBUEikcBsNsNisUCn0yEpKQnR0dEe1zpejvoddS91XalUiuDg4Fb77OtdW54y\\\n",
       "GhkZCQBIS0vD/v37AUD4/7e0lpAQ0hAFQkLauIbr9YCL4WrNmjUYPXq0y+tvv/12s64tk8mQlpaG\\\n",
       "jRs3Yvz48QAuPlBv3LgRjz32mMf39O3bFxs3bsScOXOEY+vXr0ffvn0BAPHx8QgLC8PGjRuFAFhb\\\n",
       "W4vdu3dj5syZXscil8uv2MbebZm3h7vLfejjAyUfiH799VfIZDJMmzYNERERCA0NhUQigVwuFzp7\\\n",
       "8sHEarV63KvPYrHAYrFAJBJBIpFArVZjwIABePbZZ/HWW2+hsLAQcXFxUKvVQsWNZVnodDrExMQg\\\n",
       "NzfXY4BzOBw4cuQISktLIZPJ0LFjRxw4cAA//vgjampqXN7DTwNtKn6KbG5uLr7++msMGTIESUlJ\\\n",
       "EIvFcDgcyM3Nxbvvvov169fDYDBALpfDz88PCoUCNpsNZrMZYrEYMTExuOuuuzB27NhW7/jZnJ/1\\\n",
       "tRZcrmVtORDGxsYCAA4cOIDOnTvj6NGjCA0NdfvHOkIIASgQEtLmZWVleTzes2dPlJaWCttDtPSB\\\n",
       "Ze7cubj33nuRnp6OXr164d1334XRaBS6jk6dOhWRkZFYtGgRAODxxx/H4MGD8dZbb2H06NH44Ycf\\\n",
       "sG/fPnz00UfCOObMmYOXX34Z7du3R3x8PJ599llEREQIoZNcXXxg4yt+drsdVVVVOHHiBBiGgVqt\\\n",
       "FqY/1g9YdrsdZWVlOHz4MGpra10eqEUikUuHUv41pVKJHj16oH///ti2bRskEglyc3NRWVkJsVgs\\\n",
       "hEJ+KwtP6yGB/1XyVqxYIaxH5auAl4tfj3j48GH8+OOPmD17NtRqNerq6vDrr7/il19+QUVFhTBd\\\n",
       "t6KiQqgi2u12OBwO5OTkICsrC4cPH8aCBQvaXLdSX9SWA2FmZqbQBZrvMhwZGUmBkBDiEQVCQtq4\\\n",
       "f/7554pe/84770RZWRmee+45FBcXo1u3bli3bp3QFObChQsua6b69euH7777DgsWLMAzzzyD9u3b\\\n",
       "IyMjA507dxbOmTdvHoxGIx566CFUV1djwIABWLduHRQKRbPHd6kHsZSUlDY9RUqlUrl0Ab3SGIaB\\\n",
       "TCaDTCYT1h/yW0HU1dVBKpVCLBZDJBLBYrGgpqYGBoMBFosFRUVF2L17N9avXy8EJP6a/No6m83m\\\n",
       "1s1ULBbD6XSirq4O1dXV2LZtG6KiotC9e3dIpVKhgVBjP2t+jMXFxSgtLW3SdNDmslgs+OmnnzBu\\\n",
       "3DjExsbiwoULQhjkG+Pwn8uvJ3Q4HMLPzmKx4P3334fBYMDbb7/tss6SXHvaciDkOA6vvfYaAAiN\\\n",
       "hA4cOHA1h0QIuYZRICSEXNJjjz3mdYro5s2b3Y5NnDgREydO9Ho9hmGwcOFCLFy4sLWGeN1aunQp\\\n",
       "SkpKsH37duzduxdVVVUt6nbJhzK+6ucNv76v4RpEvrrHBzq+6rVy5Urs3r0bVVVVqK2tRW1tLYxG\\\n",
       "o3BefRaLBWVlZbDb7cJn8JvGnz9/HhUVFbDb7Th69Ci2bdsGnU6HoKAgYWsVvvPopZrhXKngzHEc\\\n",
       "8vLycPjwYeh0Opw6dQrZ2dlu3U9ZloXT6XTZu5Efs8Viweeff46oqCg8/fTTLusR67+f4zjhfi/l\\\n",
       "Wgsj14u2Ggj5SjXHcZg2bRo+++yza2p8hJBrDwVCQtqgkSNH4oUXXkCfPn0aPa+urg7Lli2DRqPB\\\n",
       "o48++i+NjrSmyZMnw+FwYNKkSfjjjz+wfPlynD17Fna7vcmVT377BqVSCZvNJkzbbEgkEkEqlYLj\\\n",
       "OI/dSWtra3H06FFoNBqUl5dj+fLlQtMWvpLoqXspX70rLS3Ftm3b0Lt3byiVSojFYthsNpSVlaGi\\\n",
       "ogJWq1WYnnry5EkkJibC4XCgpqYGMpkMCoUCJpPpqm7/YLFYkJeXJ4RjTz+H+qHb04O41WrFq6++\\\n",
       "isDAQNx///3CHo/892Q0GuF0OqHRaITXCGmO+v8oMmvWLPTo0QMcx+HMmTNXcVSEkGsVBUJC2qCJ\\\n",
       "Eyfitttug16vxy233IL09HRERERAoVCgqqoKx48fx/bt2/HHH39g9OjReOONN672kEkLyeVyyGQy\\\n",
       "hIeHY8yYMTCbzfjoo4+Ql5cnhJHGgiG/dUNAQACCgoJQWloKq9Xq9h4+NPJTQRtOUeU4DpWVlfjw\\\n",
       "ww+xbt06nDx5EidPnhQ2a78UfkP7P//8E506dcIdd9wBnU4Hm80Gm80mbDPBr9crLy9HTk4OFAoF\\\n",
       "zGYzFAoF9Hq90DH0ak0D5qujarUaCQkJCAwMRFVVldt4+O9EKpV6nO5rMpkwf/58iMVi3HHHHVCp\\\n",
       "VAAuBs66ujo4HA5h6u6lNKeSRZqurVYIG+rWrRvtO0gIaRQFQkLaoOnTp2PKlClYvXo1Vq5ciY8+\\\n",
       "+kjYo41hGHTq1AkjRozA3r170bFjx6s8WnI56leaNBoNevTogd69e8Nut6OyslKYmslX6Orj1+dp\\\n",
       "tVrExsYiNDQUNpsNVVVVLg+IfBiUyWSw2+2w2+1ur/PbXOzduxd79uxxO+dS+OYzRUVFWL58OQIC\\\n",
       "AjB48GCh22hMTAxOnTolhKe6ujoUFBRAo9FAIpFAKpUiICBAWK93taqE/NpHrVaLpKQkjBs3DkuW\\\n",
       "LHFrdsNXCTUaDRiG8bgZeE1NDV577TVER0ejV69ekMvlYFlWCIJisbjR7SSasik9abnrJRASQsil\\\n",
       "UCAkpI2Sy+WYMmUKpkyZAuDiw6XZbEZgYCCkUulVHh1pLQaDAcD/tj9QKpXo2LEjKioqUFBQAJPJ\\\n",
       "BIvFApPJBKvVKjQ34UOeRqNBREQEkpKSoNVqUVRUBLFY7BJgxGKxUKEym81egx7fIOVyqnNOpxM5\\\n",
       "OTn48MMP4efnJ2xiHx8fD71eLwQng8GA/Px8KBQK+Pn5AQACAgIQGBgIq9UKi8VyRase3tYqsiyL\\\n",
       "kpIS4TubPHkyvv32W6GTI48PhDqdDqGhoTh37pzLnpH8OaWlpdi3bx9SU1OhUCiEMMhXdhsLg/z4\\\n",
       "KBheGRQICSG+ggIhIdcJvV5PreyvQ2vWrIFCoYBGo4FYLEZNTQ1EIhEiIyOhVCrhcDhgtVpRWVmJ\\\n",
       "iooKmM1mAIBSqYS/vz/Cw8MRExOD8PBwmM1mSCQSl2YlYrEYer0e/v7+qKys9BqymjI11VMTFU/s\\\n",
       "djsOHTqE7777Dvfccw/UajVEIpGwzYTD4YDBYEBBQQFEIhFCQ0OhUqmEcGUwGJpdoWwqhmEgl8uh\\\n",
       "0WhgtVpRV1fn8jrLstixYweqqqoQFhaG0NBQtG/fHsXFxR6njcrlcnTq1AlmsxnZ2dluY3Y6nbBY\\\n",
       "LBCLxS4/G/67bBg0+O+2fqdWvoGI0+kUmtlIJBKX7r+k+SgQEkJ8BQVCQgi5hj344IMQiUSQyWTw\\\n",
       "9/dHaGgo9Ho9GIYRplfa7XZhHZ5SqURYWBhSU1ORmJgInU4nNHQ5ePAgcnJyYLVaAVwMg0FBQejf\\\n",
       "vz/UajU2bdqE6urqZo9RJBJBqVRCq9XC4XCgtrb2kk1vjEYjfvnlFxw8eBAJCQlCxdNiscDpdMJm\\\n",
       "s8FqtaK6uhpFRUWIiYlBZGQkkpKS4HQ6YTQam12tFIvF0Ol0SExMRFBQEPLy8pCTkwOz2Sx0ZgwN\\\n",
       "DcWTTz6JMWPGwOl04o477sDx48eFIMdxHA4fPozJkydj/vz5YFkWRqPRY0WRr3TKZDIEBwfjwoUL\\\n",
       "sNlsbuPiq7r81hyewgV/z/z+imKxGMHBwQgICIBcLofD4UBeXh7++OMPlJeXY8KECejRowfNFrgM\\\n",
       "VzoQDhkyBFu2bHE5ptfrW/R3kBBCLgcFQkIIuYbxYcFutwsVK61WC5FIBKvVKkwT5StDSqUSOp0O\\\n",
       "AQEBiIuLg0QiQUFBAc6ePYuDBw+isrJSWG/IV+P4NYjeAlZj69j4fQvDw8MRHByMyspKoSnNpcKa\\\n",
       "zWbDuXPnkJ+fD4ZhYLPZXN7Hj4tlWUilUuj1eoSFhSEgIAAKhQJGo9HrZzR8mJdKpYiJicFTTz2F\\\n",
       "MWPGQKvVwmg0YsOGDXjzzTeRm5sLuVyOcePGYdKkSQgJCYFIJMKqVaswatQonD9/XrgWy7LYv38/\\\n",
       "5s+fj7i4OJSWlnq9R6vViqKiIpd9GetjWRbnzp1DaWkpdDqdsB1HfQ6HA4WFhVi5ciXWrVuH6upq\\\n",
       "BAQEoE+fPhg6dCiio6OFe1m1ahVMJhPEYjGSkpLg5+fnUrl1Op2QSOg//Vfb7NmzhTCo1WoRHx+P\\\n",
       "48ePIzw8/CqPjBDii+i/CoQQ0gbwD/M2mw0mkwl2u90lePGhzWq14sKFC6ioqIBEIoFEIkF5eTkO\\\n",
       "HTqEwsJCl8od3/lz586dkEqlHrtl1v98T0QiEQICAhAfHw+pVIqamppmVVYaNohpuPchx3Ewm82o\\\n",
       "qKhARUWFEAb5bSvqT0/lp0qqVCqoVCqwLCt0VA0ODsaMGTNw5513QqfTCY1hJk2ahLS0NHz++eco\\\n",
       "KyvD6NGjERAQIISmDh064NNPP8XYsWNhNBpdxp2dnS1sESGRSNyqf2KxGEqlErW1tUIQb8jpdOLY\\\n",
       "sWP4/fffMWLECMTGxgrTg4GLgfLYsWN49dVXsWXLFiEEi8ViHDp0CPv27cOgQYMAANu2bUNxcTEY\\\n",
       "hkF5eTlMJhO0Wq3w5+L48eP4+eefsWjRoib9bK5lM2bMQFhY2BX9jCtZIVy6dCkA73+vCCHk30SB\\\n",
       "kBBC2gi+AiiXy2E2m92mZfL72FVWVuLMmTPo3bs3ZDIZjh8/jpycHNhsNrcHULvdjpKSEjAM0+w1\\\n",
       "eQzDQKVSoV27doiKikJZWZkwHZV/mG7KA++lzuEb6tTU1MBkMkEkEkGj0UChUMBisUAkEkGn0yEw\\\n",
       "MBADBgxA165doVAocPbsWWRlZaGsrAzt2rXDkCFDhK6fPIlEgqSkJMycOROHDx9GVFSUy9o7kUiE\\\n",
       "gQMHYurUqfj444+Fii1fYRWLxQgNDQUAlJeXC69LJBJERESgS5cuqK2t9fjd8/dWXFyMr7/+GmvX\\\n",
       "roW/vz8CAwOh1+vhdDpx7tw5HDx4UOiuynM6nSgvL8eWLVtw9uxZBAUFobq6WmhkExERAZFIBIfD\\\n",
       "AZvNhm3btuGZZ56hfeia4d9YQ+hpjSghhPzbKBAS0sbde++9mD59ulAlINcvvsOo0+lETU2N14dH\\\n",
       "m82GM2fOICsrCwCwe/du1NTUtLhhjDdisRhRUVHo168fAgMDYbFYAPyvUicSicCyrNAApamfUb+h\\\n",
       "Ct80hV9bx4fQkJAQ2O12SCQS9OrVCzNmzEB0dDQCAgIgEolgt9tRXFyMLVu2YOfOnQgLC0NQUJDH\\\n",
       "RitisRjh4eFC59KGlTypVIoFCxZgx44dOHbsGJxOpxBKU1NT0adPHxgMBhw8eBCFhYWQyWRITU3F\\\n",
       "yJEj4e/vjw0bNuDgwYMetwXhp/7m5ubi3LlzHr+rxqq2FosFFy5cQHl5OeRyOSQSCfz8/BAXFwep\\\n",
       "VAqWZWEymbB3714UFRW5bY9BvGtJINy0aZPL8fT0dIwdO7bR9wYEBKCyslK4DoVCQsi/jQIhIW1c\\\n",
       "TU0Nhg8fjtjYWNx///249957ERkZebWHRVoZwzDw8/PDwIEDUVFRgePHj3s9l+M4lJSU4O+//4bJ\\\n",
       "ZEJeXp5Ldam5n+upesiPZ9y4cbjllluEY+fPn4fJZIJcLodSqYRarRb24auurhamWHr7LLFYLGy9\\\n",
       "wHfdlMvlCAoKQocOHZCQkCBUBJOSktCnTx+MHj0aQUFBLg/wcrkc0dHR6Nu3L6qqqoRQ6Y1MJoNe\\\n",
       "r0dJSQnMZrPbWr7Q0FC89dZb+M9//oPc3FzIZDJ0794dEydORPfu3YUpqnxgVavVkMlkcDqdCAgI\\\n",
       "wC+//OISyutPb+WnxbZkSw+O42Cz2YRupQqFAnV1dcJaTv4+4uPjERMTA7vdTk1LmqglgTAzMxOZ\\\n",
       "mZkurzX2M63/GnUqJYRcLRQICWnjMjIyUFZWhq+//hpffvklnn/+eQwfPhzTp0/HuHHjqMvgdUQi\\\n",
       "kUCn0wnTMr3hQ0JxcTEsFkuLq0L198Ljm8/w+Kpa7969ERMTA47j0LFjR+zfv18IPpGRkejUqROC\\\n",
       "g4NhNBpx6NAh7N+/3+N6Or5aplAoEBQUhKCgIGi1WshkMigUCoSGhiIxMRHh4eGw2+3Ca927d4de\\\n",
       "r3cLe/w+jDqdDjqdrtEgWv+erFYrTCYT9Hq9sI4PuDh1NDk5GTfddBMyMzMhl8vRs2dPtGvXDgEB\\\n",
       "AVCpVEKAFYvFQkVTLBYjMjIScXFxLtM1GYaBWq1GcHCwsJfk5VSG+AZBFosFlZWVOH36NKqrq4Ut\\\n",
       "PWJjY5GWlgaHw0GBsIlaEgj79++PoUOHCsfT09OvyNgIIaQ1USAk5DoQHByMuXPnYu7cuThw4AA+\\\n",
       "//xz3HPPPdBoNJgyZQoeeeQRtG/f/moPk1wmi8WC8vJyt/VkntjtdlRUVAhTEJtLLBYjMTERN9xw\\\n",
       "A0wmE7Zt24bCwkI4HA6IxWJER0dj/vz5GDZsmFDl0uv18PPzw7Zt2yAWi9GnTx907NgRGo0GIpFI\\\n",
       "6Cr6xhtvYN26dairqwPHcUKlLCIiAt26dcPAgQORkpKCoKAgKBQKoTkO30TGbDajrq4OcrkcERER\\\n",
       "kMlkHu9BJBJBr9dDo9GgsLAQVVVViI6Odgl6PP7hv7CwELW1tdBqtULzGf710NBQzJo1C2PHjoXd\\\n",
       "bkdAQABCQkKg1WohlUo9bhkhFosREBCAmTNn4sCBA6isrIRIJEJ8fDzuu+8+pKam4vDhw/j444+R\\\n",
       "m5vb4r0V+fWjTqcTpaWl+PnnnyGVSjFt2jRERESgU6dO+O9//4vq6mr06NGjRZ9BLm3o0KFYuHDh\\\n",
       "1R4GIYQ0CwVCQq4jRUVFWL9+PdavXw+xWIxRo0bhyJEj6NSpE15//XU88cQTV3uIpIU4jkNNTQ3W\\\n",
       "r18Ps9ncpCphS8OFRCLBzTffjA8++AAhISFCc5Mvv/wS+/btg7+/P6ZOnYobb7xRmBIKXGyf37Nn\\\n",
       "TyQlJQEAdDod5HK5yzTOrl274pNPPkFOTg6ysrJQVVUFtVoNPz8/oaFKUFCQ8N6GIav+dhnAxame\\\n",
       "jW2JIZVKYTabcfLkSRw8eBAdO3b0GAgBwGAwYPfu3SgtLYXZbMbw4cOhVquF1/m9//R6PRwOh7Dl\\\n",
       "Bh8GvRGLxRg0aBDuuecebNiwAcnJyfjPf/6Djh07QiKR4IYbbkCvXr3w8MMPIycn55KVzMbw3WjL\\\n",
       "y8vx9ddfQywWY86cOcJ2HTExMS2+tq+5kk1ldDodamtrwTAMkpKScPr06ZYMkRBCWgUFQkLaOLvd\\\n",
       "jl9//RWff/45/v77b3Tp0gVz5szBXXfdBZ1OBwD45ZdfMG3aNAqEbZzVasXp06c9Nj5pqCVVQX6K\\\n",
       "aN++ffHhhx8iLCxMeNBNSUnBCy+8gIqKCojFYgQGBrqts2MYRljvx/++4YMy3ym1Y8eOSE5OFhqo\\\n",
       "8M1nWJaFSCTyWnHjp5byoa4pD+L5+fk4dOgQKisr0a9fPyQlJbm9j2VZ5OXlYevWrcjLy8ORI0dQ\\\n",
       "V1eHyZMnu3yWSCSCXC6HVCp1aXhzKTqdDo8//jhuv/12tGvXzqXBjUQiwZAhQ/D7779jzpw52L59\\\n",
       "O8xmsxDoW/Kz5DgOtbW1yMjIwOTJkxEVFUX7DzbTlQyENTU1EIvFYFnWJQxSQxlCyNVA/3UgpI0L\\\n",
       "Dw8Hy7KYPHky9uzZg27durmdc8MNN8DPz+9fHxtpXfz2C61NJpMhODgYPXr0wJQpUzBy5Ehh/zoe\\\n",
       "31WTr5g19gDclIDk7WG7/p6KjX1GUx/A7XY7NmzYgOzsbJw7dw4jRozAjz/+iB49eriMk6+qVVdX\\\n",
       "o7q6GpWVlXj66aeh1Wpxww03QKVSCR0g+eYxfCBsCpFIhKioKERFRXkcu1gsRocOHfD777+juLgY\\\n",
       "W7duFbqWZmdn4/jx4412lvWE4zgUFxcjOzsbPXv2bPL7yP9cyUYvl1MJJoSQ1kSBkJA27p133sHE\\\n",
       "iROhUCi8nuPn54ecnJx/cVSktfAPpFeqciASiRAREYFZs2bh1ltvRXh4uMs0z6uhNT/bbrejtLRU\\\n",
       "6OCZn5+PBx54AGvWrEF0dDREIpHw3bZr1w5paWkwmUyoqamB3W7Hjz/+CI1Gg44dOwqdRPn9B1Uq\\\n",
       "lccq5uXcl1gsRkREBCZMmIBRo0YJXWI/+OADrFq1yuM/CPDB1Ns04cam1RLv/o19CAkh5FpAgZCQ\\\n",
       "Nu6ee+652kMgV1BISAgcDgdMJhOsVmuL1wV6IxaL0bFjR4wePVqYVthY5a6x6l1TXm/swbnh/nuX\\\n",
       "esjm18vx9+Gt8lZ/HaDT6cSJEyewaNEivPrqq9Dr9UKgateuHZ544gmkpqYiMzMTpaWlMJlM2LNn\\\n",
       "D8xmMwICAuBwOGA2m6FUKhEbG4vw8HCvTW1aip96K5PJoNFooNPpMGnSJGzcuBGFhYUu35FYLEZo\\\n",
       "aCji4uJQVlaGCxcuwGazCd+1Tqdzayh1PUxLXLp0qbB335VCgZAQ4isoEBJCyDVsy5YtqKurw7Zt\\\n",
       "2/DBBx8gJyenVUMhHxp0Op3XUMV3LC0vL4dWq0VwcLDL+kG73Y7a2loUFxeDZVmEh4fD399fWHvn\\\n",
       "dDpRV1eHmpoaaLVa6PV6t/VsfJdMfosMiUQirNPzxuFw4OzZs6isrERSUhK0Wq1bdVOlUmHUqFE4\\\n",
       "fvw4bDabMJ7Nmzfj2LFjSE9Ph0wmg0gkglqtRkpKCuLi4jBmzBicPXsWFy5cgEQiQUVFBaqqqmAy\\\n",
       "mVBeXg6bzYbY2Fj06tUL7dq1g0KhaPL00abit61QKBRITExEZGQkiouLhRAsl8sxduxYLFiwAKGh\\\n",
       "oSgqKsI777yD33//HUajEUqlElOnTkViYiIFlhagQEgI8RUUCAkh5BrWoUMHcByHrl27ok+fPrj1\\\n",
       "1ltRUlLSqp9hsVi8bmNhsViQkZGB119/HSUlJYiNjcVzzz2HwYMHQyaTweFw4MSJE1i4cCH27t0L\\\n",
       "lmWRmpqKuXPnokePHuA4DgcPHsTHH3+M06dPIz4+Hg8//DD69u0rTLl0OByora1FdnY2ioqKoNPp\\\n",
       "0K5du0tW38rKyvD666/jxIkTGD58OIYOHYoBAwa4vEcqlWLmzJnYuHEjDhw4AKfTCYZhYLPZkJub\\\n",
       "i9TUVGFKJb+HIL9/YXx8PKqqqlBXVweDwYDa2lqUlJSgvLwchYWFOHPmDHbv3o327dujV69eSE5O\\\n",
       "hr+/v8cqa1PXRnrCMAy0Wi3at2+PkydPwmq1QqfTYd68eZg5c6awvjE4OBhLly7F1KlTkZWVJWwb\\\n",
       "olQqm/V5hBBCfAsFQkIIucbx2yekp6dj0qRJWLp0aatWCSsrK1FTU4OIiAiX4yzL4sCBA5g9ezbK\\\n",
       "y8vBcRxKSkrwwgsvYPXq1QgNDYXFYsE333yDP//8E1arVTjn2LFjuPnmm+Hv748NGzbg1KlTsNls\\\n",
       "OHv2LHJycnDffffhhhtugEajQXFxMf7++29s3LgR5eXl8PPzw6hRo/DQQw8hNDTUY4BiWRaHDh3C\\\n",
       "li1bUFVVJXwfPXv2dAmEDMMgPDwcb7zxBh5++GHk5uZCJBJBp9PB6XQKawvrn89vLC+RSCCXyxEc\\\n",
       "HAy73Q6TyYTw8HAoFArU1NTg3Llz2LVrF3766Sc4nU6oVCokJSXhjjvuwI033oiQkBBIJBI4nU7Y\\\n",
       "bDawLAulUgmlUul16wtP+O0t+vbti4qKCmg0Gjz88MMYNGgQpFKpcB5/XzfccAMGDRokdECl6lXL\\\n",
       "UIWQEOIrKBASQkgbIZFIMH78eCxfvlyY/ni5WJZFUVERCgoK0KFDB5eg4nA4sGTJElRUVAihiV+D\\\n",
       "V1ZWhtDQUDidThw4cEAIg/w5RUVFyMjIQHBwMEpLS2Gz2eB0OmG1WpGdnY3PPvsMR44cQVhYGHJy\\\n",
       "crBr1y4UFxfD4XBAJBKhtLQU3bt3x6hRozyGJ6fTiePHj8NoNIJlWUilUmi1Wo9bK4jFYqSnp+PR\\\n",
       "Rx/Fhx9+CIPBgNDQUEgkEjgcDmGri4ZbaPDv5auGCoUCarUaCoUCtbW1OHDgACoqKmAwGMCyLKqr\\\n",
       "q1FYWIitW7cKQTIuLg4xMTEICgpCWFgYkpOT0alTJ4SFhUGlUjU5GEqlUgwZMgR9+vRBTEwMAgIC\\\n",
       "vL63qVthkMZRICSE+AoKhIQQ0kbw0wKlUmmrBUKn04mSkhLs2LHDreJUVVWFzZs3u1UjrVarsDG7\\\n",
       "VCp1CYM8lmVhNpvBcRxUKhWMRqNwjsPhQFlZGY4dO4aqqioUFRWhurpaqKIBQFFREdavX4+bbrrJ\\\n",
       "Y/Cx2WwoKyuDTCaDXC7HoEGDMGTIEK9TTOVyOUaOHIns7GwcO3YM4eHhkEqlsNvtcDqdXtdP8uqv\\\n",
       "5wsNDUWnTp2g0Whgt9vdvh/+3i9cuID8/HzI5XL4+/sjMjISMTExiI6ORvv27dGjRw8kJydDp9M1\\\n",
       "GuA4joNEIkFsbCzkcrnXxj+kdVEgJIT4CgqEhBDSRnAcB6PReEWu+fPPP2PatGmIiYkBwzBgWRZb\\\n",
       "t2712MmRD3n8BvJardbjtdVqNfr37w+RSITMzEzk5+fDbrdDIpFAoVAgKCgICQkJ0Gq1KCoqEipt\\\n",
       "wMWgmpeXB6vVCrlc7vb51dXVsFgsQofNiRMnIjExsdGqWWhoqLDHolQqhUqlgsPhgMPhcAlZl9pj\\\n",
       "kd+3UaFQXHLqLsuysFqtMBgMMBqNwprEo0ePYvPmzbjpppswbtw4BAUFef1cft9DhULR5M3l+Q6s\\\n",
       "9YM6v2UGrSlsGgqEhBBfQYGQEELaCIfDgezs7FbfeoJlWZw5cwZffvklnnzyScjlclRWVuK1117z\\\n",
       "2GyGDyd81SwgIMDjOWlpaXj00Ueh0WgwaNAgfPvttzh37hwYhkFSUhJGjRqFtLQ0OJ1OxMTE4Msv\\\n",
       "v0RJSYkQWmJiYsCyrMt2FRzHwWw24+zZs3A4HOjUqRNGjRqF9u3bQ6VSNXqfcrkcycnJEIlEMJvN\\\n",
       "CA4OBsMwsNvtQrhtSvWNDwr1A+ylSKVSxMXFoUOHDjCZTCgoKEB5eTl2796NlJQU+Pn5uVRneSzL\\\n",
       "wmQygeM4j683xHEcTCYTcnNzceLECVRUVAjTYU0mE+rq6vDMM880acy+jgIhIcRXUCAkhJBrGF/h\\\n",
       "4TgOVqsVBQUFV2QfObvdjvXr12PSpEkIDg5GVlYWcnJyvJ5f/wHYU9VKJBKha9euiI6OhlwuR69e\\\n",
       "vZCfny8EsE6dOqFz587C5vAjRozAiRMnsG3bNlgsFoSEhKBjx44uG8cDF0NxdXU1CgoKAABRUVFo\\\n",
       "165dkzZfZxgGarUaYWFhsFgsUCqVkEgkYFlWWLvIh6dLXctsNqO6urpJPwuGYaBUKhEXF4eOHTvC\\\n",
       "ZDJBIpGgtLQUcrncrZJXn8PhQE1Njdt+ip7w1d6srCz8/PPPOHLkCAwGg1A1tVqtsFgsFAgJIYS4\\\n",
       "oEBI/r+9O4+Oqrz7AP6dfckkk30jCYmQEBHCFokBFwqpuBREUXzbCpRXBVuxVtSqtWLVutUNRcS2\\\n",
       "KlRf3GhVtKCWRTCyJ6wRSCAkJJB9mSWZfe59/+Dc28xkISxhm+/nnJyWmbuH9twvz/P8fkR0HrNa\\\n",
       "rfK0w8rKSmzdurVPAqEgCNi2bZvct279+vVobW3tdntpDaMgCGhra+v0vV6vx9SpUxEVFQWFQoGM\\\n",
       "jAzMnDkTw4cPh8ViQVZWFgYMGCBPPY2MjMTChQuxfft2HD16FFlZWcjJyYFer5enPzqdTlRUVKCw\\\n",
       "sBAlJSXQ6/XIz89HVlZWrwKh1GswNTVVDmFSBVCbzQZRFOWejBqNptO6Pql1hN1ux5o1a1BeXt6r\\\n",
       "EUJpuuq4ceMwYsQIKBQKNDY2orq6GiqVCklJSd1WUq2ursaXX36JuLg4TJo0CWazudvfxw8//ID5\\\n",
       "8+dj7969cDqdna7tYmhIfzZxhJCIQgUDIRHReey+++6Tq1x6PB5UVlZCrVbD4/Gc8Rd8j8eD4uJi\\\n",
       "7Ny5E16vt9vji6KI1tZWOaQdOnSo0zZGoxEZGRlyqFKr1YiLi0N+fj7cbrfcfkEakdNqtUhISMD1\\\n",
       "118PURQDKmUKggCr1Yq1a9fi008/RWVlJYxGIyZMmIAhQ4bAZDL1+oVcpVLBaDRCFEUIggCXy4Xm\\\n",
       "5mYUFRWhpKQEBoMB+fn5yMnJgdlslkfXRFGE1+tFXV0dli1bhqVLl6KlpaXXI4QRERFIS0tDfHw8\\\n",
       "NBoN4uPjMWDAAAiCAJPJ1OXaR5vNhrfeegsrVqyAyWSCwWDA5MmTO00ddTqdeO6557BgwYKA4j10\\\n",
       "ehgIiShUMBASEZ3HPvnkEzkwmc1mmM1mREdHw+v1nrFKox1J1UN7ChVKpRJNTU1wOBw4ePAgqqur\\\n",
       "O20jBZiOVCoVTCaT3Eg9uNVDd+0SfD4fDhw4gAULFmD//v0QBAGJiYlITU2V20f0RBrZk84RfL7q\\\n",
       "6mosXboUu3btgsfjgdlsxrhx43DHHXdg6NChAI73aty4cSOWLFmCkpISuYJq8H1Iax47Pj9p3aO0\\\n",
       "TlGr1UKr1cqjn131CnS73fjoo4/w/vvvw2KxQKlU4k9/+hOys7PlqbTSds888wxeeeWVPvn7EMoY\\\n",
       "CIkoVDAQEhGdx7xer/yffr8fcXFxuPLKK7F3714cOHCgy6Ivp+tEI0xS8Zbm5masWLGiyymjHUfX\\\n",
       "OuoYfnr7Eu33+7FmzRr8+OOPcDgcUCgUcLlcyMzMhF6v7/YevF4v3G43/H6/HMKC20tIU2WLiopg\\\n",
       "s9nkKbArVqyAUqnEH/7wB4iiiOLiYixevBj79u2TR0+lthtJSUkYPnw4wsPDsX//fpSWlsLhcMhT\\\n",
       "NgVBQFNTExobGwMK5KhUqoA1ohK3242vv/4aTz31FFpaWuTjlJaW4vHHH8dbb72F2NhYeL1efPTR\\\n",
       "R3j99dcZBvsAAyERhQoGQiKiC4AUcCIjI/GLX/wCVqsV8+fPR0VFRY8BruNLbfDIVU/7SNsHU6lU\\\n",
       "GDt2LDIyMtDe3o6tW7d2WqumUCiQlJTU7fq6ro7f0wu1z+fDzp075XVxUhBLS0vrckRRKq5SVFSE\\\n",
       "rVu3Qq/X45prrkF2dnankOp0OrFhwwbY7faAAOd2u2E0GpGQkAAASEtLg9/vD6h6qlKpMGDAAPz5\\\n",
       "z3/GVVddBa1Wi6qqKsyfPx/ffPON3J9RapNx4MAB5OfnQ6fTBYwoSsf1+/2wWCz417/+hRdeeAEN\\\n",
       "DQ0Bz8jr9WLt2rV49tlnMXXqVFRUVOCZZ56B0+ns9tnRqWMgJKJQwUBIRHSBEAQBkZGRyMnJgU6n\\\n",
       "w/79+7ttDQEABoMBubm5GDduHDQaDXbv3o0tW7agoaFBHnkMplAooFaru6x8qVAocOmll+LZZ59F\\\n",
       "eno6mpubuzy3RqNBZmYmvF4vtFptj03XpYDV3XRR4HjA6zgCplAokJCQ0GOBlTVr1uDZZ59FdXU1\\\n",
       "TCYTGhsb8dvf/jag35/f70d5eTl+/PHHTuE1MjISd999NyIiIgAAo0ePxq9//Ws8/fTTaG1thVKp\\\n",
       "xIABA/DCCy9gwoQJcq/EzMxM3Hzzzfj+++/ldZ6iKMLlcmHbtm346U9/iksuuQQajUZeG1lWVoai\\\n",
       "oiLs2LEDO3bsQEVFBVwuV5eBvL29HcuWLcO2bdvgcrnkUcdg0lRWaRRS+n1yfSEREQVjICQiukCI\\\n",
       "ogibzQaDwYDw8HDcdNNNWLx4cZfN481mM7788kuMHTs2YFTM5/Ohrq4OP/3pT3Hw4EH4/f6A/bpa\\\n",
       "zyZJTU3FihUrkJ6eLgfHgoICFBUVweFwADg+nXTcuHG4/vrrUVdXJ4cWnU6HrKwsREVFydfj9/th\\\n",
       "s9lgt9sRFRWF8PDwLs+t1+tRUFCA7du3o62tDUajEWPHjpXXOnYccXS73fjXv/6Fhx9+GA0NDRAE\\\n",
       "AS0tLfj0009xxRVXYNy4cdDpdPB6vdi3bx8effTRgJE4hUKB6OhorF69GkOGDJGPbTQacc8992DG\\\n",
       "jBlyb7/o6Gjo9fpOQbalpUV+rtL+brcba9asQX19Pa688krExMRgz549WLduHWpra3ss4tORKIqw\\\n",
       "Wq3YtWsXwsLCEBYWBq1WC4/HA0EQ5HWKZrMZiYmJiIyMhMfjQUtLC1pbWzmaeBI4QkhEoYKBkIjo\\\n",
       "AiGKIqqqqtDa2gq9Xg+fz9dls3Kp8fuIESM6TZFUq9Xo168fPvvsM8yePRvbtm0LWBMHoNu+eFJR\\\n",
       "m45r4IYPH46MjAwcO3YMJpMJ1157LWbNmoV+/fqhvr4eS5cuxerVq+H3+3Httdfi97//PVJSUqBS\\\n",
       "qeDz+dDW1oaamhq5JURX6w5VKhVGjBiBjIwMVFdXIzIyEgaDARaLBQaDQR4F83q92LFjB1599VU0\\\n",
       "NTXJo49+vx9WqxXbt29H//79ERYWhv3792Px4sXYvXt3QHjT6/X4/e9/j0svvbTTS77Ux1BaQ9nx\\\n",
       "e+n8P/zwA958881OTeul/ombN29GcXExgOMhsbdBMJjf74dOp8NNN92Ea665BiaTCVarFfX19Wht\\\n",
       "bUVbWxu8Xi9cLhfsdjv0ej2io6M5QngSGAiJKFQwEBIRXUAaGxuxbds2jBkzBocOHepyyqZCoUBm\\\n",
       "Zia0Wm2Xx1AoFBg0aBCWLl2K+++/Hxs2bAgYOZKCVLDa2locO3YMkZGRUCgUcijJzMxEZGQkrrrq\\\n",
       "KsycORMpKSkAgKamJmzZsgVHjhyBIAj48MMPodfr8eijjyIqKgqiKEKlUkGr1fY4nVEURej1esTE\\\n",
       "xKC5uRkKhQIlJSVYuXIlcnJyEBkZCbvdjtraWrz33nsoLS2Fz+cLOJ7f78eePXug1WphsViwfv16\\\n",
       "lJWVweFwyFNWNRoNrrrqKtx11109Vi4NfvkXBAGtra1488038frrr3fZsF4Kpn6/H263u9tjn4yM\\\n",
       "jAz88Y9/RHJyMpRKJURRhM/nQ2trK/bs2YM1a9bg8OHDsFgsUKvViI2NRVJS0hk5dyhgICSiUMFA\\\n",
       "SER0AXE6nfjqq6+gUqmwdevWLttEqFQqObR1R6lUIj09HS+//DIeffRRFBYWwul0ykGqq3DW2tqK\\\n",
       "F198ES+++CIiIyPR3NyMXbt2wWKxIDo6GldeeSVSU1Oh0+kgiiLi4uLkECQIAtrb2/H555/juuuu\\\n",
       "w5VXXilPbdTpdNDpdN2uIfR4PCgpKZFHR/1+PxoaGrBt2zaYzWb5Xp1OJ6qqqjoFLim8lpWV4dix\\\n",
       "Y2hoaEBjYyPcbrdcpEalUiElJQUPP/xwt2sTuyIIAo4ePYoZM2Zg48aNfVL1tStKpRKTJk1Cv379\\\n",
       "AkZVVSoVYmNjkZGRgba2NlRWVsLhcCAiIgKpqanIzMw8K9d3MWAgJKJQwUBIRHQB8fl82LFjB8LC\\\n",
       "wlBdXS1P9ey4Bk4KCN1V+ZSoVCqkp6dj+vTpqK+vR0VFBdrb2+Fyubrc1+/344svvoAgCJgwYQIO\\\n",
       "HTqEVatWob6+HsnJyVCpVFCr1XKwk1pk7N+/Xw6Zra2t2L17N/Lz82EwGKDRaGAwGOQiKF2ds6Sk\\\n",
       "BIsXL8bhw4cDpli2traitrYWKpUKGo0GSqWy03RX6UXd5XKhuroaCoUCHo8HXq834B51Oh1GjhyJ\\\n",
       "7OzsTlNBpVCrUqkC2lZIazrnzJmDwsLCEz7vUyE9k+BjazQaTJw4sdsptpGRkXA4HLBYLPB4PNDp\\\n",
       "dDCZTEhOTj7j13gxY9AjolDAQEhEdAERRRGNjY3y2jepCExwKLTb7b0arVKr1UhLS0NaWhosFosc\\\n",
       "MDr20evI4XDg888/x5o1a+Dz+eTtfD4fGhoaAkKdXq/Hgw8+iM2bN8uVPDUaTUBw7OmFWxAEHDhw\\\n",
       "AHPmzEFJSUmX9yOKIgRBkAuqqNXqgP5+0nE8Hg88Hk+3LS9UKpVcbEYaNQSA+vp6fPvttygvL0dO\\\n",
       "Tg6uvvpqREdHQ6lUwuPx4IsvvsD69ev7JAxKPQ61Wi2OHTsmVx5VKBSIjY3FJZdc0uV+CoUCRqMR\\\n",
       "ERER8Pv98Pl8EAQBarVaroZKREQkYSAkIrrAuFwu1NbWyv3spPVjwPEwIAgCqqur0d7eDpPJ1OOx\\\n",
       "BEFAY2MjrFYrlEolIiIi5JG27lofuN3uTo3QnU6n3DReolAokJ6ejn/+85+YP38+tm/fjsTEROTm\\\n",
       "5gb04uuK3+/H9u3b8Ytf/EJeg9gTKSjpdDp5lLDjOsKOz0c6b8cQ7fF48OOPP6KwsBATJkxAWFgY\\\n",
       "mpqaMGvWLOzevRs+nw/h4eG4/vrrcf/996Nfv35obGzEsmXL+qwpvNFoxE9+8hNkZWXhP//5D7Zv\\\n",
       "3w6XywW1Wo1x48YhPDy82311Oh0GDhwYUIHU4XDAbrf3ybVejDhllIhCBQMhEdEFRAo6NpsNRqMx\\\n",
       "oDpox+8PHDiAoqIiXH/99T3297NarVi5ciVKS0vhdDphMpnkNXlNTU3dhsLgETa1Wo3+/ft3ejFW\\\n",
       "KpXIyMjAwoULUVxcDEEQMGzYsC6nOnY89oEDB3DzzTejvr6+V5UxVSoVDAYDUlJS4HA4UFNT0+0I\\\n",
       "qdSfT1rbKI0glpaW4rnnnsM333wDjUaD4uJiHDhwQK5C6na78dVXX0Gr1eLWW2+Fw+GAx+OBUqk8\\\n",
       "5RHC4PWfHQmCAL1ej4EDBwIA2traUFVVhdjY2BMWvpH6JJpMJnkKsMViQU1NzSldZyhiICSiUMFA\\\n",
       "SER0gREEAW63Wx4dDJ4G6ff70dTUhCeeeALDhw9Hv379ujyO3+/H2rVr8eWXX6KpqQkA4PV6YTQa\\\n",
       "0b9/fxiNRhw7dqzb6aPAf6dbZmRkYPDgwV2+GCsUCkRGRmLMmDHw+XwwGo09vkB7vV48/vjjAf0B\\\n",
       "e6JQKGA2m3HJJZdg/PjxOHz4MFavXt1lNU+NRoOEhARoNBo0NDTIVUb9fj+cTicOHTqEyspKOVh3\\\n",
       "vG+pwXxLSws0Gg0yMjJw66234siRIzh69GhA+wqVSiUHxa7aeEhVTdVqNXw+n9zEviOXy4WioiKk\\\n",
       "p6fDaDRi1KhRiI+Px+jRozF06NAen6H0DwVSaPT7/bBYLDh27NgJnycdx0BIRKGCgZCI6AIjBRi3\\\n",
       "2w21Wt1lmwifz4fdu3fjtttuw8qVKxEVFdXpOBaLBW+//Tbq6+vlaqXA8ZGwpKQk9O/fH3q9HocP\\\n",
       "H5ZDoRQ0pFE2nU6HpKQkzJ49GzExMT1et1arDSg6053m5mZs37690z11N5qmVquRl5eHG264AVdd\\\n",
       "dRXKy8tx8OBB7NmzRw5pwPFRxKuuugq/+c1v0NDQgFdeeQUVFRWdnmvHfTpSKpWIj4/H1KlTMWLE\\\n",
       "CBgMBmRkZGDkyJF45513UFRUBLfbjcjISCQkJEClUuHgwYOorKyUR+mksBgVFYWMjAxotVocOXIE\\\n",
       "9fX1naae+nw+lJWV4auvvpLXC8bHx2PAgAHdthSROJ1OfPfdd2hubpaDcWtrqxz86cQYCIkoVDAQ\\\n",
       "EhFdgDqOYHXXJkIQBGzduhU33HADVq5ciejo6IDv9u7di7179wastfP7/fB6vQgPD0dqaipEUYTd\\\n",
       "bkddXR28Xi+A48VikpKSMGTIEAwbNgw5OTkYOXIk1Gp1pymsHc/ncDjg9XoRFhbW7RpCQRCwc+dO\\\n",
       "OJ1O+Xu1Wg2z2Qyz2Qy73Y6WlhZ5OqhCoYDJZMLNN9+MK6+8Ev369UNCQgJuu+02HDx4EG1tbQCO\\\n",
       "h7nc3Fy8//77iI2NRVtbG9avXx8QCLsjjbQNGDAAzz33HCZOnChXRtXpdMjPz0dubi6cTqccJr1e\\\n",
       "L5qbm7F+/Xr83//9H8rKyuByuaDVatGvXz+MGTMGmZmZqK2thd1uR2NjY5e/4/b2duzevRsVFRXQ\\\n",
       "6/UwmUzQaDS44oorMGDAgC7DtcPhwF//+lcsXbpU7okojRrX1tae8H7pOAZCIgoVDIRERBco6UW/\\\n",
       "J1IoHDt2LL766itkZGRAqVTC6XRi1apVcDgcnfZRqVQwGo0wm82IjY1FZGQkbDabHBTz8vIwY8YM\\\n",
       "DBs2DOHh4XI7Bul6OoYUn88Hu90uN0pvbm5GTk4ObrjhBiQnJ0Oj0cgjf4IgoKqqCu+88w5EUYTB\\\n",
       "YEB0dDSmTp2KqVOnIioqCrt378aLL76I/fv3w+fzQalUyuHVbDbLo5ATJ07Ep59+Klc3TUpKwvvv\\\n",
       "v4+kpCR5iumYMWPwr3/9q8vnplAooNVqERMTg/T0dEydOhXTpk1DYmJip7V7SqVS7qUo/V5EUYTZ\\\n",
       "bJbbYWzcuBEWiwUJCQkYPnw4BgwYAL/fD7vdDo/H0+3vUQrSLpdLHpk9cuQIKioq8Mwzz2DYsGHy\\\n",
       "eb1eLw4ePIjHHnsMa9euhdvtloO+tIawsrKyx78v9F8MhEQUKhgIiYguclKRltzcXNx7772YNm0a\\\n",
       "Dhw4gNWrVwese5NCUEREBMLDw6HRaKDVamE0GmE0GgEAl156KX7xi19g7NixCA8Pl9fJeTwe2Gw2\\\n",
       "OBwOtLW1obm5GWVlZSgsLMSWLVtQW1srT5tUqVSYP38+cnNzcfPNN+PSSy+F1+vFxo0b8emnn8pV\\\n",
       "RRMSEvDQQw/hf/7nf+SKmnFxcdi5c6fcMxE4HoTq6+tht9sRGRkJAIiKikJ+fj6ampqg1WrxzDPP\\\n",
       "YMCAAfKLu1KpxNChQ6HVajsVn1Gr1cjOzsYDDzyAm266SR6VO9FUV4n0LDUaDeLi4jB27FhkZGTA\\\n",
       "7/cjIiICERERAIDq6mrU19ejpaWlx2AfHPw9Hg++++47XHvttRg4cCAGDRoEr9eL0tJSuRF98Iix\\\n",
       "KIpwu92or6+/KMLLnDlzkJiYeK4vg4joosBASEQUIqxWK1544QW8+eabMJlMsNls8hRPaVpkREQE\\\n",
       "UlNTER8fj4iICJjNZkRGRsJqtUKj0SAzMxPp6enQ6/VyQPJ6vaitrcWGDRuwcuVKlJSUoLGxEQ6H\\\n",
       "Q67k2ZHf70dzczO+/fZbrFmzRi6M03FbpVIJk8mEq666CuHh4fJaSSmkdmwn0dbWhtWrV0MQBFxz\\\n",
       "zTXQ6XSoq6uDRqPBwIEDMWLECFx77bWdKpvGx8cjOTkZFRUVch/DqKgoPPDAA/jNb34Ds9l8WuFJ\\\n",
       "Ctjx8fHysaTqpi0tLaipqcH+/fvl38PJEAQBbW1t2LVrF3bv3t2r/UVR7LMWGRcjjhASUahgICQi\\\n",
       "CiGCIMBms8Futwf045MKxERFRaFfv35ISkpCTEwMNBoNLBaL3PQ9LS1NHlVTKBRwuVzYt28f/va3\\\n",
       "v2H16tVobm4OWJN4It0VcREEAS0tLXKAkUbJmpubUVxcHFCV0+Vy4YcffsDRo0dRVlYGjUaDAwcO\\\n",
       "oLS0VJ56Kk1Lle7Z5/PB7XZj7NixMBgM0Ov1KCgowOzZs5GamtpjW4zekq5Pr9dDr9fLPSIdDgda\\\n",
       "W1uxc+dOlJeXd1lh9FTOc6a3DXUMhEQUKhgIiYguQNLoXHcFZU6k437Sy6zX65WLtigUCsTGxiIu\\\n",
       "Lg7R0dHIzMyEx+NBamoqFAoF7HY72trasGHDBixevBilpaUBa9ZOlyiKaG5uxmeffYbExES5UfyS\\\n",
       "JUuwbds2eL1e+Vw+nw/Hjh1DQ0MDdu3aBb/fL6/LU6vVcLvdyMrKwnXXXQeDwQC73Y4ff/wRO3bs\\\n",
       "QGpqKgoKCpCfn4+UlBRotdoz8nIvFecRBAFqtRoqlQoKhQI+nw8+nw+VlZXYsWMHWltbT7mHIfUt\\\n",
       "BkIiChUMhEREFxiNRoOIiAjo9Xq0tbXB6XR2GpU72VEjv98Pl8uF+vp6bNmyBZmZmRg8eDASExOR\\\n",
       "kpKCoUOHwul0yuGlpqYGq1evxnvvvYeqqqpum8CfDrfbjbfeegs7d+5EYmIi9u3bh3379qGtra3T\\\n",
       "vXo8Hni93k7r57xeL8rKyvDb3/4WcXFxUCqVsFqt8Hg8MBqNGDNmDG666SakpKTIxVlOl8fjQXNz\\\n",
       "MxwOB0wmkzzlFYBcSGb79u2oqKg47dHBYEqlElqtNqDQjBRMOxaYoRNjICSiUMFASER0AZGqamZl\\\n",
       "ZSEqKgoWi0VerwccD0cOhwPt7e1ym4jekoLV0aNH8fXXX+PGG29EWFiY3PNOKh5jtVrx448/4t//\\\n",
       "/jeOHj3aJ2FQuh6LxYJvv/1Wnm7ZU3jq7jtpmqzNZgv43GazobCwELfffjtycnLOyDW3t7dj1apV\\\n",
       "WLVqFUwmEyZNmoTc3FxoNBoA/+0tuGHDBlgslhNWie0thUKB+Ph4zJo1C1OmTEFMTAy8Xi9qampQ\\\n",
       "XFyMLVu24PDhw7DZbL1qtUEMhEQUOhgIiYguINKLp8PhgNFoRHR0tFwEJjU1FVqtFjt37sS3336L\\\n",
       "hoaGUxoN8vl8KC0tRW1tLUaNGiWvp5PaSwiCIFf27Ksw2FFfjWgJgoCmpia8++67uPrqqxEXFxfw\\\n",
       "Yi9Nq+1tMPD5fPjiiy/w8MMPo6WlBRqNBjt37sRTTz0lh8KWlhZ88cUXqKio6PHZSWsee0OlUmHo\\\n",
       "0KFYtmwZsrKy5Ompoihi0KBBuPrqq+FwONDc3Iz6+nqMGTOmV8clIqLQwEBIRHQBEQQBdrsd5eXl\\\n",
       "qK2tRXx8PPLy8lBQUIDLLrsMWq0W2dnZKCsrQ1NT0ymHKafTiaNHj3YKQkqlUm5MbzQa5bYTAOQ+\\\n",
       "eVIvQI/Hc8anRJ5pfr8fhYWF+Mc//oHZs2cjLCwMgiCgvb0d9fX10Gg0SExMhMFgOGHbCYfDgb//\\\n",
       "/e9oaGiA3++H2+3G1q1b8dBDD+GJJ55AVlYWioqKsGHDhh7XW3Ys9tMxkCqVSiiVyoC1n3q9HmPG\\\n",
       "jMGiRYuQkZER8PvquJ/ZbEZ4eDj69+9/hp7cxY8jhEQUKhgIiYguIKIowuv1wufzwel0or29HdHR\\\n",
       "0QgPD0dsbCw0Gg0GDRqE5OTk0zqPIAioqKjoMrSoVCqkpqZixIgRqKmpQVtbGwBAp9MhOTkZQ4YM\\\n",
       "gclkwt69e1FaWgqn03leh0KHw4Hnn38eVVVVyM/PR2VlJb799ltUV1dj1KhReOSRR5CTkwONRtPj\\\n",
       "i7/P54PFYgkI4T6fD3v37sWjjz6KgoICVFdXo7m5uceg3tWzMhgMGDVqFKZNm4asrCxoNBqIoojI\\\n",
       "yEhkZGQgIiLihKGkt30U6TgGQiIKFQyEREQXIKkQjMPhwN69e7Fz504MGzYMer0eBoMBKpWqxxAm\\\n",
       "Tf3sbhtRFFFcXAyn0yk3he/4ndFoxE9+8hPU1taiqqpK7lE4btw4uVF6bGwsbDYbjh49GlAVtONx\\\n",
       "uiK9iJ+t4ifSWsW//e1vWLJkiRy4RVFES0sLRo8ejUGDBsmFYYKvVaLX6zFs2DCUlJQErA30+/2o\\\n",
       "qKjA119/DaPReEr3lZCQgAULFmDo0KHylFDp2hlG+gYDIRGFCgZCIqLzWMcX/66Iogir1Yq//vWv\\\n",
       "GDJkCHJyclBVVYUDBw50GzwUCgU0Gg38fn+3PQNFUcTu3bvx0Ucf4dZbb0VYWJgc0txuN6xWK6Ki\\\n",
       "opCXl4eBAwciLi4Ow4cPR1ZWFkwmE9rb22GxWHDo0CF4vV65oIvBYEB4eLjcZ9Bms8Hv98vXoFKp\\\n",
       "YDKZoNPpYLVa4Xa7z8RjPCGpoE5w4/a2tjasX78ed9xxB/R6PYDjVUSdTie0Wi2MRqO8xlKr1eKu\\\n",
       "u+7CV199hdbW1oDj+P1+tLa2wmQywWQywe12d/n76W7tYEJCAjIzMzuF0lMJIufzaG1vLVy4EC0t\\\n",
       "LX16DgZCIgoVDIRE1CWv14s//vGPWLVqFQ4fPgyz2YyCggK88MILJ5yOuGjRIrz00kuoq6vDsGHD\\\n",
       "sHDhQowePVr+3uVy4cEHH8THH38Mt9uNiRMn4q233kJCQkJf39YFZ9q0aaitrcWPP/7Ybc86QRBw\\\n",
       "6NAhzJkzB1dffTUqKipQVlbW44u/FAR72sZms+Ghhx7Cm2++if79+yMuLg6xsbGIiIiQ+/sJgoD+\\\n",
       "/ftj0KBBGDx4MOLi4qDRaBAeHo6cnBy0t7cjPj4e7e3tSE5OxsiRIzFw4ECo1Wrs3LkTr7/+Og4c\\\n",
       "OCAXWFGr1UhJSUFOTg5KS0tRUlLSKaSdTYIg4MCBA6ipqUFERAQEQUBVVRWKiopgMBgwZswYJCYm\\\n",
       "ygV3RowYgalTp2LJkiUBo4TSs05JSUFUVBSKiorgdDo7na+7fwBQq9Wc8nmWMRASUahgICSiLjkc\\\n",
       "DuzYsQNPPPEEhg0bhtbWVtx///2YPHkyioqKut3vk08+wbx58/D2228jLy8PCxYswMSJE1FaWor4\\\n",
       "+HgAwAMPPICVK1di+fLlMJvNmDt3Lm655RZs3LjxbN3eBeP999+H1+vF3r17MWfOHJSUlHQbCo8c\\\n",
       "OYIPP/xQnk7aHVEUe1UdVCpgs3fvXpSUlEChUEClUkGn0yEiIgLR0dGIjY1FdnY2srOzERkZCZPJ\\\n",
       "BLVaDaPRCIPBgJiYGOTm5sLn8yEuLg5xcXEwGAxQKBS45JJL0NzcjD//+c9yb0Gpoftll12GnJwc\\\n",
       "OBwOlJWVdTuaJt1Pd6SiKidqWdHTs2pqasKePXuQkpICQRBw9OhRFBcXw+fzISoqClFRUfI9GY1G\\\n",
       "PPjgg1i1ahVqamoCjqVUKpGZmQmTyYRDhw7B5XJ1eU1d3VdDQwMsFguMRuNJ34N0LEEQ4Pf75TYi\\\n",
       "REREAMB/biSiLpnNZqxevRrTpk3DoEGDcMUVV+DNN99EcXExqqqqut3v1Vdfxd13341Zs2Zh8ODB\\\n",
       "ePvtt2E0GvHee+8BAKxWK9599128+uqrGD9+PEaNGoUlS5Zg06ZN2LJly9m6vQuGNC0xJycHd9xx\\\n",
       "R4/N06Wgd6Z62wUfWxAEuZhNa2sramtrUV1djSNHjsBut0OpVEKlUsn/qdPpEBUVhX79+iE5ORlR\\\n",
       "UVHQ6/XyaJrBYEBGRkbAyJcgCHKRmoyMDAwZMqTLAKNSqaDX66HT6eQpm12RRnlOZwTH6/Xi6NGj\\\n",
       "cLlc8Pv98pRbURTR3t4uh2vpPPHx8bjkkks6nVMURWi1WkRERHT7e+xuTaDVakVFRcUprT8URRFO\\\n",
       "pxOHDh3CunXrTnr/UNXx705vfoiILlQMhETUa1arFQqFApGRkV1+7/F4UFxcjIKCAvkzpVKJgoIC\\\n",
       "bN68GQBQXFwMr9cbsE12djbS0tLkbSiQNPJ033334de//rXc5PxckEbxXC4XLBYLqqurUVxcjM2b\\\n",
       "N8Pv90OpVMovyNJIYVRUFMxmsxwGpfYJUiGajuvmpLWFVVVVuOSSSzB79mzk5eVBq9XKx9VqtcjM\\\n",
       "zMQ999yDJ554AjfccAPMZnOXz+VE02J7w+Px4IcffkBLSwtUKhVSUlJwxRVXICcnBxEREQHTbxUK\\\n",
       "BcLDwzFz5sxO6/08Hg8OHjyIQ4cOweFwdPt8u+p92NzcjAcffBAHDx48qVDo8/mwbt06jBo1CsOG\\\n",
       "DcONN954ag8hBDEQElGoYCAkol5xuVx45JFH8POf/xwRERFdbtPU1AS/399pLWBCQgLq6uoAAHV1\\\n",
       "ddBqtZ1CZcdtuuJ2u2Gz2QJ+Qo1er8eLL76Iv//97zCbzef0JVQKhh6PB42NjVi2bBm+/PLLTuFL\\\n",
       "oVDA6/WivLwc+/btg81mC+ijl5qaCrPZHLCP2+3Gpk2bEBYWhtGjR2PhwoUYN24cwsLCoNPpkJSU\\\n",
       "hD/84Q946qmn8Mgjj+Dzzz/HwYMHsWLFik5/r6TrPJ1Q6Pf7sWnTJqxevRoAkJaWhp/+9KeYMmUK\\\n",
       "Bg0aJN+jIAhyWMvOzkZYWFjAcZxOJ1atWoUPPvgAjY2N3V5T8PRWqdXItm3bMGLECNx9992or68/\\\n",
       "YesKu92O6dOnY+LEiThw4EC3hWyoewyDRBQKGAiJCACwbNkyuQKiyWRCYWGh/J3X68W0adMgiiIW\\\n",
       "L158Tq7v+eefh9lsln9SU1PPyXWca2q1GjfddBPuuecexMfHQ6vVyqNy54ooimhra8Nrr72G5ubm\\\n",
       "gO+koizPPvss5s2bh/feew9Wq1UOPHq9HgMGDOh0vKamJvh8Puh0OiQmJiIrK0tuyu71emE0GgOm\\\n",
       "n8bGxmLChAmYMmVKt8/idJ6Rw+HAhx9+iCNHjkAQBOh0OrnyqjR9trm5GVarFQ0NDSgsLITX6+10\\\n",
       "HJ/PB4/Hc8rrGV0uF5YvX45XXnkFdXV18Hg88Pv9chiV1gk6nU58/fXXWLlyZZ9MIQ4FZ3OEkOGS\\\n",
       "iM4lFpUhIgDA5MmTkZeXJ/+5X79+AP4bBo8cOYJ169Z1OzoIALGxsVCpVKivrw/4vL6+HomJiQCA\\\n",
       "xMREeDweWCyWgNGcjtt05bHHHsO8efPkP9tsNrzzzjsndY8XA1EUYTAYcNddd2HgwIEoLCxESUkJ\\\n",
       "qqurYbVau+z3d7auq7y8HK+99hqefvppefqm0+nEkiVL8J///Adutxt79+6Fw+HAgw8+KPdLvOKK\\\n",
       "K7Bhw4aA4NLe3i43cBcEAY2NjXC73fB6vbBaraiqqgp4eZamks6ZMwcffvhhQGVShUIBvV6P8PBw\\\n",
       "OJ1OtLe3n/RImSAI2LdvH1544QU8/vjjSElJgcPhwI8//ojvv/8ehw4dgsfjgcFggMvlwp49e+By\\\n",
       "uU7zqXYmiiLcbjcKCwtx+eWXY+TIkTAYDHIQBI7/b7a0tBQLFy7sdmoqndjZqjIaPEJORHS2MRAS\\\n",
       "EQAgPDy8UwNyKQwePHgQ3333HWJiYno8hlarxahRo7B27VpMmTIFwPEX6bVr12Lu3LkAgFGjRkGj\\\n",
       "0WDt2rWYOnUqAKC0tBRVVVXIz8/v9tg6na7HgioXK2mUSVpb5vf74ff7ERsbi1tuuQWTJk1CXV0d\\\n",
       "Vq5ciX/84x+orKw86VDYXe+7k93H5/Ph7bffxq233ophw4ZBoVCgqakJGzZsgNPphCAIsNlsePXV\\\n",
       "VzFw4EBMnjwZADBo0CBotdqANgwejwe7du3CoEGDcOTIERQVFcnTMl0uF3bv3t3lNQ8ePBjR0dEB\\\n",
       "0491Oh1uueUWzJo1C36/H8uWLcMXX3wBu91+Uvft9Xrx9ddf4/Dhwxg5ciSsVit2794tj9R1nAor\\\n",
       "FeE5FcFBpOM1qlQqREREIC0tDU1NTfjuu+9QVlaGPXv2oKGhAX6/H2q1Gi6XC8eOHbsoeg6eK2cj\\\n",
       "EL788suw2WxQq9W9qvxLRNQXGAiJqEterxe33norduzYgX//+9/w+/3yS3Z0dLRc+XHChAm4+eab\\\n",
       "5cA3b948zJw5E7m5uRg9ejQWLFiA9vZ2zJo1C8Dxfw2/8847MW/ePERHRyMiIgL33Xcf8vPzccUV\\\n",
       "V5ybmz2P/fKXv5Rf6k0mEwYNGoSrr74al156KcLDw6FUKuWiLZWVlTh27FiXUxUl0ourVAlUrVbL\\\n",
       "Tdl7O7VQrVZDo9HA6/V2eom12Wx4+umn8de//hXh4eGora2FxWKRw5EoirDZbHj00UcRHh6Oyy67\\\n",
       "TC7E0jEQ+v1+fP3110hKSsIPP/yAmpoa+RiCIKC0tBR+v79TIZmwsDDceuutePvtt+VwdN111+HV\\\n",
       "V19FTEwMFAoFrrnmGtx1112YM2cOSktLOwU3KQh0VZDG4/GgpKQE+/fvl0Pf6YSu4CAhnVuaHisI\\\n",
       "gvyZXq/HoEGDMHPmTOTl5cHlcuHzzz/HJ598Iq/flY5xrqcRh6rgKq65ubnyP3x05eGHHwZw/P9v\\\n",
       "+fsionOFgZCIunTs2DF8+eWXAIDhw4cHfPfdd99h3LhxAIDy8nI0NTXJ391+++1obGzE/PnzUVdX\\\n",
       "h+HDh+Obb74JKDTz2muvQalUYurUqQGN6amzzz77LGDkyWg0oqioCK+88goiIiLkip2xsbHIycnB\\\n",
       "8uXLuz2WVPlTan2QmJiIhIQEtLe3y43vTxRutFotLr30UmRlZWHXrl04fPhwQJAUBAEbN27E9u3b\\\n",
       "kZubG1BERiKKIo4dO4ZHH30Uv/rVr2CxWKDX6+V+gdJxSkpK8M4776CysjJgCqgoimhpaYHX64Ve\\\n",
       "rw84tkqlwmOPPYZ9+/ahrKwMeXl5eP311xEXFye/cOt0OowdOxYfffQRJk+ejOrq6oBr1Gg0iIiI\\\n",
       "gNvtht1u7/QMetvHsSfSFFej0QiFQiG3C5ECphQGpTWScXFxmDFjBmbPno3ExEQoFArY7XasWLEC\\\n",
       "ra2tAdfTcV8pWHKk8OSdygjhxo0bO/VT7e7ZS/t8+umnp3GVRESnj4GQiLqUnp7eq5fIysrKTp/N\\\n",
       "nTtXHjHsil6vx6JFi7Bo0aLTucSQEDxq19bWhsLCQlRVVSElJUUeydJoNEhJSemxJYVCoYDBYEBS\\\n",
       "UhKGDx+O3NxcZGZmwul04oMPPsCaNWsCglcwlUqFyy+/HC+99BJSUlKwfv163H///WhtbQ3Yzm63\\\n",
       "Y9OmTcjMzOxyFA84HvgOHjyIv//970hMTITP5+sUXqxWK0pKSuB0OgP+Lkr33N2IZmJiIj766CPU\\\n",
       "19fLVUyDX+yVSiUuvfRSTJ8+HX/5y1/kUVWFQgGz2YwJEyagvb0dq1at6pOiLFqtFhkZGcjOzpbX\\\n",
       "3UqjqU6nU572q1QqER4ejjvuuAMPPvggIiMj5Xsxm83Izs7u9vqUSqW8prGn3yt17VQC4dixYzF+\\\n",
       "/Hj589zc3C63HzNmDAAgLi4Ot91222leKRHR6WEgJCK6gEhTLsvLy+U1lwqFAiqVClFRUScMhEaj\\\n",
       "Eenp6cjNzcWIESOQnp4OhUIBm82GrVu3dqoS2lF0dDSeeuopjBo1CiqVCtdffz0WLVqEbdu2BQQ2\\\n",
       "v9+PiooKOBwOqNVqGAyGLtccer1eVFdXw263w+PxyC/V0n/6fD65AEzHaZzSFNPuXtaVSiXi4uIQ\\\n",
       "Gxsb0PQ+mEajwU9+8hO88cYbciCU9i0oKIBarca6devQ3t7e7TFOhRTyLrvsMowcORKiKKKsrAxt\\\n",
       "bW2wWCwBI4VS38/Jkyd3CrYqlQpDhgzp9jmo1WqkpKTAZrOhtraW1UZP0qkEwvHjx+Ppp58+4fZb\\\n",
       "tmwBADQ2NnY5bfjgwYMYOHDgSV4xEdGpYdsJIqILjN/vR319faeAJbVh6IlWq4XZbEZMTAzMZjPC\\\n",
       "wsJgNpuRlZXVY29DpVKJzMxMDBs2DBqNBiqVCuHh4cjKyuq0rdQDz+/3Q6VSyetNu+L1etHW1iav\\\n",
       "oQoupiJNIe3Y8F6lUiEmJqbHsCetozuRuLg4uem9tF9ERARSUlJwySWXdJqSeiZII7XSGlqDwQC1\\\n",
       "Wi1XCg1elxgWFobExMQu7ycuLq7b37lOp0NWVhb69+9/wr8X1Flftp145plnkJCQEPAjSUhIYBgk\\\n",
       "orOKI4REROex3q79UqvVyMvLQ1VV1SmdZ9y4cSgvLz+pfXQ6Hd5//328//77PW63d+/eU7qmvqZQ\\\n",
       "KJCTkxOwBjZYT9+dD6Qpv3Tm9WWV0ccffxyPP/54l8foWCGXiOhs4AghERERERFRiOIIIREREVGQ\\\n",
       "s9WYXsJKsER0rjAQEhEREQU524GQiOhcYSAkIiIiCsJASEShgoGQiIiIKAgDIRGFCgZCIiIioiAM\\\n",
       "hEQUKlhllIiIiIiIKERxhJCIiIgoCEcIiShUMBASERERBWEgJKJQwUBIREREFISBkIhCBQMhERER\\\n",
       "URAGQiIKFQyERERERF1g0COiUMAqo0RERERERCGKI4REREREQThllIhCBQMhERERURAGQiIKFQyE\\\n",
       "REREREEYCIkoVDAQEhEREQVhICSiUMFASERERBSEgZCIQgUDIREREVEQBkIiChVsO0FERERERBSi\\\n",
       "OEJIREREFIQjhEQUKhgIiYiIiIIwEBJRqGAgJCIiIgrCQEhEoYKBkIiIiCgIAyERhQoGQiIiIqIg\\\n",
       "DIREFCpYZZSIiIiIiChEcYSQiIiIKAhHCIkoVDAQEhEREQVhICSiUMFASERERBSEgZCIQgUDIRER\\\n",
       "EVEQBkIiChUMhERERERBGAiJKFSwyigREREREVGI4gghERERURCOEBJRqGAgJCIiIuoCgx4RhQIG\\\n",
       "QiIiIqIgHCEkolDBQEhEREQUhIGQiEIFAyERERFREAZCIgoVDIREREREQRgIiShUsO0EERERERFR\\\n",
       "iOIIIREREVEQjhASUahgICQiIiIKwkBIRKGCgZCIiIgoCAMhEYUKBkIiIiKiIAyERBQqGAiJiIiI\\\n",
       "gjAQElGoYJVRIiIiIiKiEMVASERERBREGiHs7c/pHjsjI6OP7oSIqGcMhERERERB+jIQSpKTkxEb\\\n",
       "GwsAqKysxMKFC8/kLRAR9QoDIREREVGQvgyEoihCFEUcO3YMjY2NuP322wEADz30UF/cChFRj1hU\\\n",
       "hoguai0tLfxXd6KLTEtLS5+f41SKyqxbty7g89zcXEyePPmE++/cuRMAEBUVdZJXSUR0+hgIieii\\\n",
       "dzZeHono4nIqgXDjxo3YuHFjwHeiKPa4b11dHcrKyuT/TkR0tjEQEhEREZ0BY8eOxfjx4+U/5+bm\\\n",
       "nnCfpKQkAMCVV17ZZ9dFRNQTBkIiIiKiIKcyQjh+/Hg8/fTTJ3UOAMjJyUFhYeHJXyQR0RnAojJE\\\n",
       "1Cv33HMPFAoFFixYcMJtFy1ahPT0dOj1euTl5WHbtm0B37tcLtx7772IiYmByWTC1KlTUV9f30dX\\\n",
       "TkR08vqyqExbW5u8z4ABA7B79+6+uAUiol5hICSiE/r888+xZcsWJCcnn3DbTz75BPPmzcOTTz6J\\\n",
       "HTt2YNiwYZg4cSIaGhrkbR544AF89dVXWL58OTZs2ICamhrccsstfXkLREQnpS8DYXh4OABAq9Ui\\\n",
       "OzsbP/vZz/Czn/0M77//fl/cChFRjxgIiahHx44dw3333Ydly5ZBo9GccPtXX30Vd999N2bNmoXB\\\n",
       "gwfj7bffhtFoxHvvvQcAsFqtePfdd/Hqq69i/PjxGDVqFJYsWYJNmzZhy5YtfX07RES91pc9CAHA\\\n",
       "4/Fg5cqV8s/MmTPP4NUTEfUOAyERdUsQBEyfPh0PP/wwLrvsshNu7/F4UFxcjIKCAvkzpVKJgoIC\\\n",
       "bN68GQBQXFwMr9cbsE12djbS0tLkbYiIzrWz0Yewqx8iorONRWWIqFsvvvgi1Go1fvvb3/Zq+6am\\\n",
       "Jvj9fiQkJAR8npCQgAMHDgA4XlZdq9UiMjKy0zY9lVx3u91wu93yn202Wy/vgoiIiIi6wxFCIgIA\\\n",
       "LFu2DCaTSf7ZsGEDXn/9dSxduvS0pkSdKc8//zzMZrP8k5qaeq4viYguYn05QkhEdD5hICQiAMDk\\\n",
       "yZOxa9cu+WfTpk1oaGhAWloa1Go11Go1jhw5ggcffBDp6eldHiM2NhYqlapTxdD6+nokJiYCABIT\\\n",
       "E+HxeGCxWLrdpiuPPfYYrFar/FNdXX1a90tE1BMGQiIKFZwySkQAjle9kyrfAcDs2bMxadKkgG0m\\\n",
       "TpyI6dOnY9asWV0eQ6vVYtSoUVi7di2mTJkC4Pg6xLVr12Lu3LkAgFGjRkGj0WDt2rWYOnUqAKC0\\\n",
       "tBRVVVXIz8/v9vp0Oh10Ot3p3CIRUa+dSh9CIqILEQMhEXUpJiYGMTExAZ9pNBokJiZi0KBB8mcT\\\n",
       "JkzAzTffLAe+efPmYebMmcjNzcXo0aOxYMECtLe3yyHSbDbjzjvvxLx58xAdHY2IiAjcd999yM/P\\\n",
       "xxVXXHH2bpCIqAcMhEQUKhgIiei0lJeXo6mpSf7z7bffjsbGRsyfPx91dXUYPnw4vvnmm4BCM6+9\\\n",
       "9hqUSiWmTp0Kt9uNiRMn4q233joXl09E1CUGQiIKFQyERNRrlZWVvfps7ty58ohhV/R6PRYtWoRF\\\n",
       "ixadwasjIjpzGAiJKFSwqAwREREREVGI4gghERERURCOEBJRqGAgJCIiIgrCQEhEoYKBkIiIiCgI\\\n",
       "AyERhQoGQiIiIqIgDIREFCoYCImIiIiCMBASUahglVEiIiIiIqIQxRFCIiIioiAcISSiUMFASERE\\\n",
       "RBSEgZCIQgUDIREREVEQBkIiChUMhERERERBGAiJKFQwEBIREREFYSAkolDBKqNEREREREQhiiOE\\\n",
       "RHRBEkXxXF8CEZ3nTuf/J+x2e69H/ux2+ymfh4joXGMgJKILkt1ux1NPPXWuL4OIzmN2ux1ms/mk\\\n",
       "9hk6dCgAIDU19aTPJ+1LRHQhUYj8Z3YiugAJgoCamhqEh4eH9Podm82G1NRUVFdXIyIi4lxfzjnD\\\n",
       "53Acn8NxoijCbrcjOTkZSuXJr45Zvnw59u7de1L7DB06FLfddttJn4uI6FxjICQiuoDZbDaYzWZY\\\n",
       "rdaQDgB8DsfxORAR0cliURkiIiIiIqIQxUBIREREREQUohgIiYguYDqdDk8++SR0Ot25vpRzis/h\\\n",
       "OD4HIiI6WVxDSEREREREFKI4QkhERERERBSiGAiJiIiIiIhCFAMhERERERFRiGIgJCI6j3i9Xjzy\\\n",
       "yCMYOnQowsLCkJycjBkzZqCmpuaE+y5atAjp6enQ6/XIy8vDtm3bAr53uVy49957ERMTA5PJhKlT\\\n",
       "p6K+vr6vbuW0nOhegi1fvhzZ2dnQ6/UYOnQoVq1aFfC9KIqYP38+kpKSYDAYUFBQgIMHD/blLZy2\\\n",
       "559/HpdffjnCw8MRHx+PKVOmoLS09IT7XYzPgoiI+g4DIRHRecThcGDHjh144oknsGPHDnz22Wco\\\n",
       "LS3F5MmTe9zvk08+wbx58/Dkk09ix44dGDZsGCZOnIiGhgZ5mwceeABfffUVli9fjg0bNqCmpga3\\\n",
       "3HJLX9/SSevNvXS0adMm/PznP8edd96JnTt3YsqUKZgyZQpKSkrkbf7yl7/gjTfewNtvv42tW7ci\\\n",
       "LCwMEydOhMvlOlu3ddI2bNiAe++9F1u2bMHq1avh9Xpx7bXXor29vdt9LtZnQUREfUgkIqLz2rZt\\\n",
       "20QA4pEjR7rdZvTo0eK9994r/9nv94vJycni888/L4qiKFosFlGj0YjLly+Xt9m/f78IQNy8eXPf\\\n",
       "XfwpONG9BJs2bZp44403BnyWl5cnzpkzRxRFURQEQUxMTBRfeukl+XuLxSLqdDrxo48+6oM76BsN\\\n",
       "DQ0iAHHDhg3dbhMqz4KIiM4cjhASEZ3nrFYrFAoFIiMju/ze4/GguLgYBQUF8mdKpRIFBQXYvHkz\\\n",
       "AKC4uBherzdgm+zsbKSlpcnbnA96cy/BNm/eHLA9AEycOFHevqKiAnV1dQHbmM1m5OXlnVf3fiJW\\\n",
       "qxUAEB0d3e02ofIsiIjozGEgJCI6j7lcLjzyyCP4+c9/joiIiC63aWpqgt/vR0JCQsDnCQkJqKur\\\n",
       "AwDU1dVBq9V2CpUdtzkf9OZegtXV1Z3w3qXPenvM840gCPjd736HsWPHYsiQId1uFwrPgoiIziwG\\\n",
       "QiKic2jZsmUwmUzyT2Fhofyd1+vFtGnTIIoiFi9efA6vks61e++9FyUlJfj444/P9aUQEdFFRn2u\\\n",
       "L4CIKJRNnjwZeXl58p/79esH4L9h8MiRI1i3bl23o4MAEBsbC5VK1aliaH19PRITEwEAiYmJ8Hg8\\\n",
       "sFgsAaOEHbc5H/TmXoIlJiae8N6lz5KSkgK2GT58+Bm8+r4xd+5c/Pvf/8b333+PlJSUHre92J8F\\\n",
       "ERGdeRwhJCI6h8LDwzFw4ED5x2AwyGHw4MGDWLNmDWJiYno8hlarxahRo7B27Vr5M0EQsHbtWuTn\\\n",
       "5wMARo0aBY1GE7BNaWkpqqqq5G3OB725l2D5+fkB2wPA6tWr5e0zMjKQmJgYsI3NZsPWrVvPq3sP\\\n",
       "Jooi5s6di88//xzr1q1DRkbGCfe5WJ8FERH1oXNd1YaIiP7L4/GIkydPFlNSUsRdu3aJtbW18o/b\\\n",
       "7Za3Gz9+vLhw4UL5zx9//LGo0+nEpUuXivv27RNnz54tRkZGinV1dfI299xzj5iWliauW7dOLCoq\\\n",
       "EvPz88X8/Pyzen+9caJ7mT59uvjoo4/K22/cuFFUq9Xiyy+/LO7fv1988sknRY1GI+7du1fe5oUX\\\n",
       "XhAjIyPFFStWiHv27BFvuukmMSMjQ3Q6nWf9/nrr17/+tWg2m8X169cH/D1wOBzyNqHyLIiIqO8w\\\n",
       "EBIRnUcqKipEAF3+fPfdd/J2/fv3F5988smAfRcuXCimpaWJWq1WHD16tLhly5aA751Op/ib3/xG\\\n",
       "jIqKEo1Go3jzzTeLtbW1Z+GuTl5P93LNNdeIM2fODNj+008/FbOyskStVitedtll4sqVKwO+FwRB\\\n",
       "fOKJJ8SEhARRp9OJEyZMEEtLS8/GrZyy7v4eLFmyRN4mVJ4FERH1HYUoiuK5GZskIiIiIiKic4lr\\\n",
       "CImIiIiIiEIUAyEREREREVGIYiAkIiIiIiIKUQyEREREREREIYqBkIiIiIiIKEQxEBIREREREYUo\\\n",
       "BkIiIiIiIqIQxUBIREREREQUohgIiYjogvDuu+/i2muv7fPzfPPNNxg+fDgEQejzcxEREZ1rDIRE\\\n",
       "RHTec7lceOKJJ/Dkk0/2+bmuu+46aDQaLFu2rM/PRUREdK4xEBIR0Xnvn//8JyIiIjB27Nizcr5f\\\n",
       "/epXeOONN87KuYiIiM4lBkIiIjprGhsbkZiYiOeee07+bNOmTdBqtVi7dm23+3388ceYNGlSwGfj\\\n",
       "xo3D7373u4DPpkyZgl/96lfyn9PT0/HnP/8ZM2bMgMlkQv/+/fHll1+isbERN910E0wmE3JyclBU\\\n",
       "VBRwnEmTJqGoqAjl5eWnfrNEREQXAAZCIiI6a+Li4vDee+/hT3/6E4qKimC32zF9+nTMnTsXEyZM\\\n",
       "6Ha/H374Abm5uad0ztdeew1jx47Fzp07ceONN2L69OmYMWMG7rjjDuzYsQMDBgzAjBkzIIqivE9a\\\n",
       "WhoSEhJQWFh4SuckIiK6UDAQEhHRWXXDDTfg7rvvxi9/+Uvcc889CAsLw/PPP9/t9haLBVarFcnJ\\\n",
       "yad8vjlz5iAzMxPz58+HzWbD5Zdfjttuuw1ZWVl45JFHsH//ftTX1wfsl5ycjCNHjpzSOYmIiC4U\\\n",
       "DIRERHTWvfzyy/D5fFi+fDmWLVsGnU7X7bZOpxMAoNfrT+lcOTk58n9PSEgAAAwdOrTTZw0NDQH7\\\n",
       "GQwGOByOUzonERHRhYKBkIiIzrry8nLU1NRAEARUVlb2uG1MTAwUCgVaW1tPeFy/39/pM41GI/93\\\n",
       "hULR7WfBbSZaWloQFxd3wnMSERFdyBgIiYjorPJ4PLjjjjtw++2345lnnsFdd93VaXSuI61Wi8GD\\\n",
       "B2Pfvn2dvgue5nn48OEzco0ulwvl5eUYMWLEGTkeERHR+YqBkIiIzqrHH38cVqsVb7zxBh555BFk\\\n",
       "ZWXhf//3f3vcZ+LEifjhhx86fb5ixQp89tlnKC8vx7PPPot9+/bhyJEjOHbs2Gld45YtW6DT6ZCf\\\n",
       "n39axyEiIjrfMRASEdFZs379eixYsAAffPABIiIioFQq8cEHH6CwsBCLFy/udr8777wTq1atgtVq\\\n",
       "Dfj8xhtvxF/+8hcMHjwY33//Pd566y1s27YNH3zwwWld50cffYRf/vKXMBqNp3UcIiKi851C7Fhn\\\n",
       "m4iI6Dx12223YeTIkXjssccAHO9DOHz4cCxYsOCMnqepqQmDBg1CUVERMjIyzuixiYiIzjccISQi\\\n",
       "ogvCSy+9BJPJ1OfnqaysxFtvvcUwSEREIYEjhEREdEHqqxFCIiKiUMJASEREREREFKI4ZZSIiIiI\\\n",
       "iChEMRASERERERGFKAZCIiIiIiKiEMVASEREREREFKIYCImIiIiIiEIUAyEREREREVGIYiAkIiIi\\\n",
       "IiIKUQyEREREREREIYqBkIiIiIiIKEQxEBIREREREYUoBkIiIiIiIqIQxUBIREREREQUohgIiYiI\\\n",
       "iIiIQhQDIRERERERUYj6fy+wqi0En0rTAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[11] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAvq5JREFUeJzs3Xd8FHX+P/DXzPZseu+NBAgdklAEpEUDIoIgKkWaJ9I8sWIF\\\n",
       "BZETC3gixyGHFQQLgoVqpEoPAQklJJBAei+b7bszvz/47Xyz2d00AiHu+/l47ONgdspndsM5r3zK\\\n",
       "m+F5ngchhBBCCCGEEKfDtnUDCCGEEEIIIYS0DQqEhBBCCCGEEOKkKBASQgghhBBCiJOiQEgIIYQQ\\\n",
       "QgghTooCISGEEEIIIYQ4KQqEhBBCCCGEEOKkKBASQgghhBBCiJOiQEgIIYQQQgghTooCISGEEEII\\\n",
       "IYQ4KQqEhBBCCCGEEOKkKBASQgghhBBCiJOiQEgIIYQQQgghTooCISGEEEIIIYQ4KQqEhBBCCCGE\\\n",
       "EOKkKBASQghpkQMHDoBhGBw4cKCtm0Ja2cmTJyGVSnH9+vU7fu3y8nIolUrs3Lnzjl+bEEKcEQVC\\\n",
       "QgghDVq7di2++OKLtm5Gi2zevBmrV69u62YAADiOw8qVKxEVFQW5XI4ePXrg22+/bfLxVVVVmD17\\\n",
       "Nvz8/KBUKjFs2DCcOXPGZr+tW7di6tSpiI2NBcMwGDp0aLPb+vrrr2PSpEmIiIho9rG3ysfHB//4\\\n",
       "xz/w5ptv3vFrE0KIM2J4nufbuhGEEELuXt26dYOvr69NTyDHcTAYDJBKpWDZu/P3iw8++CDS09OR\\\n",
       "k5PT1k3Bq6++in/961946qmnkJiYiB07duC3337Dt99+i8cff7zBYzmOw+DBg3Hu3Dm89NJL8PX1\\\n",
       "xdq1a5Gbm4vU1FTExsYK+w4dOhSpqalITEzE2bNn0aNHj2b14p49exa9e/fG0aNHMWDAgJbe7i25\\\n",
       "dOkSunTpgpSUFAwfPrxN2kAIIc6CAiEhhDSBWq2GUqls62a0CUeBsD24WwJhfn4+oqKiMHv2bKxZ\\\n",
       "swYAwPM8hgwZguzsbOTk5EAkEjk8/rvvvsNjjz2G77//Ho888ggAoLS0FB07dsSoUaOwefNmYd/c\\\n",
       "3FyEhISAZdkWfXfPPvsstm/fjpycHDAM07IbbgXdu3dH79698dVXX7VZGwghxBncnb/SJYSQ2yg/\\\n",
       "Px9PPvkkgoODIZPJEBUVhblz58JgMAAAvvjiCzAMg4MHD2LevHnw9/dHaGiocPzatWvRtWtXyGQy\\\n",
       "BAcHY/78+aiqqrK6RmZmJiZMmIDAwEDI5XKEhobi8ccfR3V1tbDPvn37MGjQIHh6esLV1RWdOnXC\\\n",
       "a6+91mj7m3KcXq/HkiVLEBMTA5lMhrCwMLz88svQ6/U25/vmm2/Qt29fuLi4wMvLC/feey/27t0L\\\n",
       "AIiMjMSFCxdw8OBBMAxjNQTR0RzC77//HvHx8VAoFPD19cXUqVORn59vtc+MGTPg6uqK/Px8jBs3\\\n",
       "Dq6urvDz88OLL74Is9nc6GewY8cOjB49WvgOO3TogGXLllkdO3ToUPz222+4fv260PbIyEiH55wx\\\n",
       "Y4awX/3XW2+91WibGmuv0WjEvHnzhG0Mw2Du3LnIy8vDsWPHGjz+hx9+QEBAAMaPHy9s8/Pzw6OP\\\n",
       "PoodO3ZYfa9hYWG31GO7fft2DB8+3CYMOvocIiMjMWPGDOHvln8/R44cwT//+U/4+fnB09MTTz/9\\\n",
       "NAwGA6qqqjBt2jR4eXnBy8sLL7/8Muz9bvq+++7DL7/8Yvc9QgghrUfc1g0ghJA7qaCgAH379hXm\\\n",
       "Y3Xu3Bn5+fn44YcfoNFoIJVKhX3nzZsHPz8/LF68GGq1GgDw1ltv4e2330ZSUhLmzp2LjIwM/Oc/\\\n",
       "/8GpU6fw559/QiKRwGAwIDk5GXq9Hs888wwCAwORn5+PX3/9FVVVVfDw8MCFCxfw4IMPokePHli6\\\n",
       "dClkMhmysrLw559/Ntj+phzHcRweeughHDlyBLNnz0ZcXBzOnz+PVatW4cqVK9i+fbuw79tvv423\\\n",
       "3noL99xzD5YuXQqpVIoTJ07gjz/+wP3334/Vq1fjmWeegaurK15//XUAQEBAgMP2ffHFF5g5cyYS\\\n",
       "ExOxYsUKFBcX4+OPP8aff/6JtLQ0eHp6CvuazWYkJyejX79++OCDD/D777/jww8/RIcOHTB37twG\\\n",
       "P4cvvvgCrq6ueP755+Hq6oo//vgDixcvRk1NDd5//30AN+fBVVdXIy8vD6tWrQIAuLq6Ojzn008/\\\n",
       "jaSkJKttu3fvxqZNm+Dv7y9sKysra7BtFm5ubpDJZACAtLQ0KJVKxMXFWe3Tt29f4f1BgwY5PFda\\\n",
       "Whr69OljE/T69u2L9evX48qVK+jevXuT2tWQ/Px83LhxA3369Lnlc1l+9t9++20cP34c69evh6en\\\n",
       "J44ePYrw8HC8++672LlzJ95//31069YN06ZNszo+Pj4eq1atwoULF9CtW7dbbg8hhBAHeEIIcSLT\\\n",
       "pk3jWZblT506ZfMex3E8z/P8559/zgPgBw0axJtMJuH9kpISXiqV8vfffz9vNpuF7WvWrOEB8Bs3\\\n",
       "buR5nufT0tJ4APz333/vsB2rVq3iAfClpaXNan9Tjvv66695lmX5w4cPW21ft24dD4D/888/eZ7n\\\n",
       "+czMTJ5lWf7hhx+2uh+e/7/Pgud5vmvXrvyQIUNsrrN//34eAL9//36e53neYDDw/v7+fLdu3Xit\\\n",
       "Vivs9+uvv/IA+MWLFwvbpk+fzgPgly5danXO3r178/Hx8Q1/CDzPazQam21PP/007+Liwut0OmHb\\\n",
       "6NGj+YiIiEbPZ09mZibv4eHB33fffVY/BwCa9Pr888+t2hEdHW1zDbVazQPgX3nllQbbolQq+Vmz\\\n",
       "Ztls/+2333gA/O7du+0e5+i7c+T333/nAfC//PKLzXsA+CVLlthsj4iI4KdPny783fLvJzk52ern\\\n",
       "aMCAATzDMPycOXOEbSaTiQ8NDbXbxqNHj/IA+K1btza5/YQQQpqPhowSQpwGx3HYvn07xowZg4SE\\\n",
       "BJv36w+Re+qpp6zmdf3+++8wGAxYuHChVU/NU089BXd3d/z2228AAA8PDwDAnj17oNFo7LbF0lO2\\\n",
       "Y8cOcBzX5HtoynHff/894uLi0LlzZ5SVlQkvy+Ic+/fvB3BzaCDHcVi8eLFNz1NL5o6dPn0aJSUl\\\n",
       "mDdvHuRyubB99OjR6Ny5s/D51DVnzhyrvw8ePBjXrl1r9FoKhUL4s0qlQllZGQYPHgyNRoPLly83\\\n",
       "u+31qdVqPPzww/Dy8sK3335r9XOwb9++Jr2Sk5OFY7RardBbWJflc9JqtQ2251aPb6ry8nIAgJeX\\\n",
       "1y2f68knn7T6OerXrx94nseTTz4pbBOJREhISLD7nVva0NQeWUIIIS1DQ0YJIU6jtLQUNTU1TR5+\\\n",
       "FhUVZfV3S022Tp06WW2XSqWIjo4W3o+KisLzzz+Pjz76CJs2bcLgwYPx0EMPYerUqUJYfOyxx7Bh\\\n",
       "wwb84x//wCuvvIIRI0Zg/PjxeOSRRxqc/9WU4zIzM3Hp0iX4+fnZPUdJSQkA4OrVq2BZFl26dGnS\\\n",
       "59EYR58PAHTu3BlHjhyx2iaXy23a6OXlhcrKykavdeHCBbzxxhv4448/UFNTY/Ve3XmaLfXUU0/h\\\n",
       "6tWrOHr0KHx8fKzeqz+stCkUCoXd+Zs6nU54/3Ye31x8K8zbCw8Pt/q75Wc/LCzMZru979zShrZc\\\n",
       "2IYQQpwBBUJCCHHgVh6yP/zwQ8yYMQM7duzA3r178c9//hMrVqzA8ePHERoaCoVCgUOHDmH//v34\\\n",
       "7bffsHv3bmzduhXDhw/H3r17Ha442ZTjOI5D9+7d8dFHH9k9R/0H8rbS0KqaDamqqsKQIUPg7u6O\\\n",
       "pUuXokOHDpDL5Thz5gwWLVrUrB5Xez7++GN8++23+Oabb9CrVy+b94uKipp0Hg8PD+FnKCgoCPv3\\\n",
       "7wfP81YBp7CwEAAQHBzc4LmCgoKEfetq6vFNZQm/TQnlFo7Co6Pv1952e+ewtMHX17fJbSGEENJ8\\\n",
       "NGSUEOI0/Pz84O7ujvT09BYdbynSnZGRYbXdYDAgOzvbpoh39+7d8cYbb+DQoUM4fPgw8vPzsW7d\\\n",
       "OuF9lmUxYsQIfPTRR7h48SKWL1+OP/74QxjS6Uhjx3Xo0AEVFRUYMWIEkpKSbF6WHrwOHTqA4zhc\\\n",
       "vHixwes1tYfG0edj2dZaRc4PHDiA8vJyfPHFF3j22Wfx4IMPIikpye4wx+b2Lh0+fBgvvvgiFi5c\\\n",
       "iClTptjdJygoqEmvrVu3Csf06tULGo0Gly5dsjrXiRMnhPcb0qtXL5w5c8Ym7J44cQIuLi7o2LFj\\\n",
       "s+7Tkc6dOwMAsrOz7b6vUqlstll6nFubpQ31F+IhhBDSuigQEkKcBsuyGDduHH755RecPn3a5v3G\\\n",
       "hsklJSVBKpXi3//+t9W+//vf/1BdXY3Ro0cDAGpqamAymayO7d69O1iWFYb9VVRU2JzfEgrsDQ20\\\n",
       "aMpxjz76KPLz8/HZZ5/Z7KvVaoUVU8eNGweWZbF06VKboFH3/pRKpU1ZDXsSEhLg7++PdevWWd3D\\\n",
       "rl27cOnSJeHzuVWWHqa6bTQYDFi7dq3NvkqlsslDSAsLC/Hoo49i0KBBwkql9rRkDuHYsWMhkUis\\\n",
       "2sjzPNatW4eQkBDcc889Vu24fPkyjEajsO2RRx5BcXExtm3bJmwrKyvD999/jzFjxtidX9gSISEh\\\n",
       "CAsLs/vvA4BNiZFdu3ZBp9PdltIQqamp8PDwQNeuXVv93IQQQv4PDRklhDiVd999F3v37sWQIUOE\\\n",
       "kgyFhYX4/vvvceTIEauyCPX5+fnh1Vdfxdtvv42RI0fioYceQkZGBtauXYvExERMnToVAPDHH39g\\\n",
       "wYIFmDhxIjp27AiTyYSvv/4aIpEIEyZMAAAsXboUhw4dwujRoxEREYGSkhKsXbsWoaGhDZYfaMpx\\\n",
       "TzzxBL777jvMmTMH+/fvx8CBA2E2m3H58mV899132LNnDxISEhATE4PXX38dy5Ytw+DBgzF+/HjI\\\n",
       "ZDKcOnUKwcHBWLFiBYCby///5z//wTvvvIOYmBj4+/sLC9TUJZFI8N5772HmzJkYMmQIJk2aJJSd\\\n",
       "iIyMxHPPPdfSr83KPffcAy8vL0yfPh3//Oc/wTAMvv76a7uhJD4+Hlu3bsXzzz+PxMREuLq6YsyY\\\n",
       "MXbP+89//hOlpaV4+eWXsWXLFqv3evTogR49egBo2RzC0NBQLFy4EO+//z6MRiMSExOxfft2HD58\\\n",
       "GJs2bbIaRvnqq6/iyy+/RHZ2tlA38ZFHHkH//v0xc+ZMXLx4Eb6+vli7di3MZjPefvttq2sdOnQI\\\n",
       "hw4dAnBz3qxarcY777wDALj33ntx7733NtjWsWPH4qeffrIZ3goAly5dwgMPPICHHnoIBQUF+Pjj\\\n",
       "j+Hh4YGjR4/i22+/xaRJk5r92Tiyb98+jBkzhuYQEkLI7dYWS5sSQkhbun79Oj9t2jTez8+Pl8lk\\\n",
       "fHR0ND9//nxer9fzPP9/y+bbK03B8zfLTHTu3JmXSCR8QEAAP3fuXL6yslJ4/9q1a/ysWbP4Dh06\\\n",
       "8HK5nPf29uaHDRvG//7778I+KSkp/NixY/ng4GBeKpXywcHB/KRJk/grV6402PamHmcwGPj33nuP\\\n",
       "79q1Ky+TyXgvLy8+Pj6ef/vtt/nq6mqrfTdu3Mj37t1b2G/IkCH8vn37hPeLior40aNH825ubjwA\\\n",
       "oURA/bITFlu3bhXO5+3tzU+ZMoXPy8uz2mf69Om8Uqm0ub8lS5bwTflP059//sn379+fVygUfHBw\\\n",
       "MP/yyy/ze/bssWlPbW0tP3nyZN7T05MH0GAJiiFDhjgsIWGv3EJzmc1m/t133+UjIiJ4qVTKd+3a\\\n",
       "lf/mm29s9rOU5MjOzrbaXlFRwT/55JO8j48P7+Liwg8ZMsTuz6jlM2zpfZw5c4YHYFO2BAD//PPP\\\n",
       "8xMnTuQVCgUfFBTEr1mzhl+3bh3v4uLC/+Mf/+B53vG/H0u76pdMsfezcOnSJR6A1b8ZQgghtwfD\\\n",
       "87dhnAchhBBC2q0RI0YgODgYX3/9tbCNYRgsWbIEb7311m2//sKFC3Ho0CGkpqZSDyEhhNxmNIeQ\\\n",
       "EEIIIVbeffddbN26VSglcieVl5djw4YNeOeddygMEkLIHUBzCAkhhBBipV+/fjAYDG1ybR8fH9TW\\\n",
       "1rbJtQkhxBlRDyEhhBBCCCGEOCnqISSEEEJIo2jJAUII+XuiHkJCCCGEEEIIcVIUCAkhhBBCCCHE\\\n",
       "SdGQUUJIu8RxHAoKCuDm5kYrERJCrPA8D5VKheDgYLBs83/3vWnTJvz111/NOqZHjx6YMmVKs69F\\\n",
       "CCFtjQIhIaRdKigowIYNG9q6GYSQu9Tbb7+N3NxchIaGNuu4TZs2YerUqS2+LoVCQkh7Q4GQENIu\\\n",
       "ubm5AQD1DhJCHLL8/0RzNLdnsP6xTQ2EEokEJpPJaptl4Z6DBw9i6NChNscMGjQIhw8fbnH7CCHE\\\n",
       "HppDSAhplygIEkIac6v/P8EwTJNeLWE2mx2+t337duHPISEhkMlkAIAjR4606FqEENIQCoSEEEII\\\n",
       "IfU0NQy2NBRyHAee5+2W81i1apXwXl5eHnQ6HZRKJQCgV69et3prhBBihYaMEkIIIYTU09ygx/M8\\\n",
       "UlJSsGjRImFb3759MWHChFZpj1arBQAkJye3yvkIIcSCAiEhhBBCSD0t6flLTU1Famqq1TZ7PYDN\\\n",
       "tWnTJnAcBwB47733bvl8hBBSFwVCQgghhJB6WhII4+PjMWLECOHvffv2veV2HDx4UFj19OWXX77l\\\n",
       "8xFCSH0UCAkhhBBC6mlJIBwxYkSr9uDVXW108uTJ1DtICLktaFEZQgghhJC7TN0wOHbsWGzatKlt\\\n",
       "G0QI+duiQEgIIYQQUs/tXmV0+fLl8PT0hKenp7DN09MTvXr1sgqDnp6eqK2tRVJSEpKSkrBr165W\\\n",
       "ukNCCLmJhowSQgghhNRzKzUGm2LJkiU2tQirq6tx7tw5zJ07V9hWVVWFlJQU4e8HDhywKWhPCCG3\\\n",
       "ggIhIYQQQkg9tzsQUqgjhNwtKBASQgghhNRzuwMhIYTcLSgQEkIIIYTUQ4GQEOIsaFEZQgghhBBC\\\n",
       "CHFS1ENICCGEEFIP9RASQpwF9RASQprsX//6FxiGwcKFCxvc7/vvv0fnzp0hl8vRvXt37Ny50+p9\\\n",
       "nuexePFiBAUFQaFQICkpCZmZmbex5YQQ0jy3u+wEIYTcLSgQEkKa5NSpU/jvf/+LHj16NLjf0aNH\\\n",
       "MWnSJDz55JNIS0vDuHHjMG7cOKSnpwv7rFy5Ev/+97+xbt06nDhxAkqlEsnJydDpdLf7NgghpEko\\\n",
       "EBJCnAUFQkJIo2prazFlyhR89tln8PLyanDfjz/+GCNHjsRLL72EuLg4LFu2DH369MGaNWsA3Owd\\\n",
       "XL16Nd544w2MHTsWPXr0wFdffYWCggJs3779DtwNIYQ0jgIhIcRZUCAkhDRq/vz5GD16NJKSkhrd\\\n",
       "99ixYzb7JScn49ixYwCA7OxsFBUVWe3j4eGBfv36CfvYo9frUVNTY/UihJDbhQIhIcRZUCAkhDRo\\\n",
       "y5YtOHPmDFasWNGk/YuKihAQEGC1LSAgAEVFRcL7lm2O9rFnxYoV8PDwEF5hYWHNuQ1CCCGEEGIH\\\n",
       "BUJCiEO5ubl49tlnsWnTJsjl8jZty6uvvorq6mrhlZub26btIYT8vVEPISHEWVDZCUKIQ6mpqSgp\\\n",
       "KUGfPn2EbWazGYcOHcKaNWug1+shEomsjgkMDERxcbHVtuLiYgQGBgrvW7YFBQVZ7dOrVy+HbZHJ\\\n",
       "ZJDJZLd6S4QQ0iQU9AghzoJ6CAkhDo0YMQLnz5/H2bNnhVdCQgKmTJmCs2fP2oRBABgwYABSUlKs\\\n",
       "tu3btw8DBgwAAERFRSEwMNBqn5qaGpw4cULYhxBC7gbUO0gIcQbUQ0gIccjNzQ3dunWz2qZUKuHj\\\n",
       "4yNsnzZtGkJCQoQ5hs8++yyGDBmCDz/8EKNHj8aWLVtw+vRprF+/HgCEOobvvPMOYmNjERUVhTff\\\n",
       "fBPBwcEYN27cHb0/QghxpDlhj0IhIaQ9o0BICLklN27cAMv+32CDe+65B5s3b8Ybb7yB1157DbGx\\\n",
       "sdi+fbtVsHz55ZehVqsxe/ZsVFVVYdCgQdi9e3ebz1MkhBALCoSEEGdBgZAQ0iwHDhxo8O8AMHHi\\\n",
       "REycONHhORiGwdKlS7F06dJWbh0hhLQOCoSEEGdBcwgJIYQQQgghxElRDyEhhBBCSD3UQ0gIcRYU\\\n",
       "CAkhf3seHh5t3QRCSCuqrq6+7degQEgIcRYUCAkhf2seHh5YuHBhWzeDENKKVq9efdtDIQVCQoiz\\\n",
       "oEBICCGEEFIPBUJCiLOgQEgIIYQQUg8FQkKIs6BVRgkhhBBCCCHESVEPISGEEEJIPdRDSAhxFhQI\\\n",
       "CSGEEELqoUBICHEWFAgJIYQQQuqhQEgIcRYUCAkhhBBC6qFASAhxFhQICSGEEELqoUBICHEWtMoo\\\n",
       "IYQQQgghhDgp6iEkhBBCCKmHeggJIc6CAiEhhBBCSD0UCAkhzoICISGEEEJIPRQICSHOggIhIYQQ\\\n",
       "Qkg9FAgJIc6CAiEhhBBCiB0U9AghzoBWGSWEEEIIIYQQJ0U9hIQQQggh9dCQUUKIs6BASAghhBBS\\\n",
       "DwVCQoizoEBICCGEEFIPBUJCiLOgQEgIIYQQUg8FQkKIs6BASAghhBBSDwVCQoizoEBICCGEEFIP\\\n",
       "BUJCiLOgshOEEEIIIYQQ4qSoh5AQQgghpB7qISSEOAsKhIQQQggh9VAgJIQ4CxoySgghhBBSjyUQ\\\n",
       "NvXVXBKJpMFzqFQqm/fDw8Nb6/YIIURAgZAQQgghpJ7bHQjNZnOD77u7uwt/9vLyAgDk5uZi06ZN\\\n",
       "zb4WIYQ0hAIhIYQQQkg9tzsQchwHnufB87zNeyqVSvgzz/OoqKjAwoULAQBTp05t8T0RQog9FAgJ\\\n",
       "IYQQQu4i8fHxAAAPDw9h26pVq9qqOYSQvzlaVIYQQgghpJ6WLCqTkpKCRYsWCdv79u2LCRMmNPva\\\n",
       "N27cAAD07t272ccSQkhzUSAkhBBCCKmnJYEwNTUVqampVu/ZGxJKCCF3EwqEhBBCCCH1tCQQxsfH\\\n",
       "Y8SIEcL2vn37tuja4eHhyMzMRFpaWouOJ4SQ5qBASAghhBBST0sC4YgRI/Dee+/d8rVTU1Ph7u6O\\\n",
       "6upqYVvdoaiEENKaKBASQgghhNRzuwvTL1++HO+//77VNk9PT0RGRuLs2bPCNpZl4eXlhYqKCgDA\\\n",
       "N9980+xrEUJIQygQEkIIIYTcYUuWLLGpRVhdXY1z584BAGpqauDu7i6UnQCA0NBQTJky5Y63lRDy\\\n",
       "90aBkBBCCCGkntvdQ2gymRp8383NjRakIYTcERQICSGEEELsaEnQI4SQ9oYCISGEEEJIPbe7h5AQ\\\n",
       "Qu4WFAgJIYQQQuqhQEgIcRYUCAkhhBBC6qFASAhxFhQICSGEEELqoUBICHEWbFs3gBBCCCGEEEJI\\\n",
       "26AeQkIIIYSQeqiHkBDiLCgQEkIIIYTUQ4GQEOIsKBASQgghhNRDgZAQ4iwoEBJCCCGE1EOBkBDi\\\n",
       "LCgQEkIIIYTUQ4GQEOIsaJVRQgghhBBCCHFSFAgJIeQuJhaLIRKJwLIsWJaFXC7HRx99BJ7nm3Q8\\\n",
       "z/NN3vduZDQakZ2djXXr1mHEiBEICQmBh4cHXFxcIBaLhV4cR69HHnkEHMc5PH91dTVef/11dO3a\\\n",
       "FeHh4QgLC4OHhwdEIlGD55VKpZDJZGBZttE2OHpJJBL06dMHq1atwsaNGzFhwgQolcoWn8/ey/Iz\\\n",
       "o1QqIZFIIBKJ7uC3174197MmhJD2ioaMEkLIXYxlWatAI5FIEB4e3uTj/w4PqhqNBmlpacjIyEBF\\\n",
       "RQVMJpMQdBmGaTDwBgcHN/gZGI1G5Ofno6qqCjqdTtjWWIjmOK7RazfGbDbj6tWr2LZtG4KDg3Hl\\\n",
       "yhWYTKYWn88enudhMBiEP5OmoyGjhBBnQYGQEELuYu7u7jCZTDAYDGBZFnFxcejXr5/TPICyLAuV\\\n",
       "SoUTJ06gpKRECIOW3i+RSASz2Wy3F5BlWQwaNMjhZ8XzPEpKSpCWlobKykqYzWYAN4PanQhPPM9D\\\n",
       "pVLh5MmTkMlkMBqNMBqNt+U6pPkoEBJCnAUFQkIIuYu98sorUKvVqKyshI+PDx5++GEEBwe3dbPu\\\n",
       "GMvQyvLyciEMWri4uKBfv34ICgrCyZMnUVJSgurqaqH3zt/fH/fcc4/Dc5tMJmzZsgWZmZlC7yDQ\\\n",
       "eIBiGAbu7u5wdXVFSUkJ9Hp9i+/P0oNn6cUjdw8KhIQQZ0FzCAkhDq1YsQKJiYlwc3ODv78/xo0b\\\n",
       "h4yMjEaP+/7779G5c2fI5XJ0794dO3futHqf53ksXrwYQUFBUCgUSEpKQmZm5u26jXbt2WefxWuv\\\n",
       "vYaVK1fi1VdfRdeuXZ1qHhjLsggLC4O/v7/VQ7dEIsHMmTPx448/4vPPP8f58+eRm5uLffv2YerU\\\n",
       "qRg3bhzWrVsHf39/u+fleR5Hjx7FJ598Aq1WKwxBbUpvmq+vL1atWoWdO3fio48+gq+vb6vdb2th\\\n",
       "WRYSiYSCyi2gOYSEEGdBgZAQ4tDBgwcxf/58HD9+HPv27YPRaMT9998PtVrt8JijR49i0qRJePLJ\\\n",
       "J5GWloZx48Zh3LhxSE9PF/ZZuXIl/v3vf2PdunU4ceIElEolkpOTrXppyE0SiQQSiQRSqVRYRMXZ\\\n",
       "+Pj44K233kJQUBCkUilcXFwwceJEvPvuu3B3d4dIJIJEIoFSqcTw4cPx5ZdfYsuWLXjggQcgFtsO\\\n",
       "hDGbzTh06BDGjx+PqqqqZrVFKpXi448/xpQpU9C1a1fMmTMHR48eRWRk5F3x3TAMg/DwcHz00UdY\\\n",
       "u3YtunTpcle0ixBCyN2LhowSQhzavXu31d+/+OIL+Pv7IzU1Fffee6/dYz7++GOMHDkSL730EgBg\\\n",
       "2bJl2LdvH9asWYN169aB53msXr0ab7zxBsaOHQsA+OqrrxAQEIDt27fj8ccfv703Re4onueh0+mg\\\n",
       "Vqvh5uYGmUzW7HOIRCI88MADOHDgAI4fP46QkBD07dsXSqXS7v4sy0IqlQK4ufiLZaip2WxGaWkp\\\n",
       "li9fji+//LJFv4Do1q0bxo0bJwRNhmEQExODbdu2YejQoaipqWn2OVsLy7IYN24cvvjiC7i6uoLn\\\n",
       "eQwbNgwDBw5EcXFxm7WrvaIho4QQZ0E9hISQJquurgYAeHt7O9zn2LFjSEpKstqWnJyMY8eOAQCy\\\n",
       "s7NRVFRktY+Hhwf69esn7GOPXq9HTU2N1YvcDFwcx7XKwiGtvfgIz/M4fvw4+vbti27dumHevHnQ\\\n",
       "aDQtOpdIJEJMTAymTJmCoUOHOgyD9ZnNZpw7dw7PPfccEhMT0aVLF6xfv75FYZBlWcyfPx9yudxq\\\n",
       "O8Mw6N69Ox599FGwbNv8Z1UkEuGZZ57Bli1b4ObmJiy6ExkZiQULFtjtKSUNoyGjhBBnQYGQENIk\\\n",
       "HMdh4cKFGDhwILp16+Zwv6KiIgQEBFhtCwgIQFFRkfC+ZZujfexZsWIFPDw8hFdYWFhLb+VvxWQy\\\n",
       "oaamBlVVVdDr9S0KdSaTCdnZ2fjzzz9RXFzcasHwr7/+QnJyMtLT01FcXIxvvvkGhw4duqVzNvfh\\\n",
       "W6PRYNGiRVi/fj0uXLiA2traFt+fXC7H8OHD7V5fLBZj3rx5LeoBbSpLyKt7fYZh4OLiglWrVuHD\\\n",
       "Dz+ERCKxOkYkEmH69OmIjY11qrmnrYECISHEWVAgJIQ0yfz585Geno4tW7a0yfVfffVVVFdXC6/c\\\n",
       "3Nw2acfdhOd5GI1GFBUV4eLFi8jPz29W2QKO41BTU4M1a9Zg+PDhGDt2LCZNmoTCwsJbbptOp8Pk\\\n",
       "yZOhUqmEbUajEYcOHXIYyDiOQ05ODvbu3YuioqJGg5vZbIbBYGiw8DzHcbh+/brNCqXNxTAMOnbs\\\n",
       "iMDAQIf7dOzYEVFRUS2+hiNyuRxdunTBtGnT8Nxzz2Hy5MkYMGAA+vTpg5kzZ+LcuXOYP3++w8AX\\\n",
       "EBCA1157DbGxsXB3d2/19v2dURgkhDgDGkNCCGnUggUL8Ouvv+LQoUMIDQ1tcN/AwECb+UrFxcXC\\\n",
       "g7Tlf4uLixEUFGS1T69evRyeVyaT3dbel/aIYRiIRCKhhl1lZSX8/PwaXV2S4zhotVoUFRXhv//9\\\n",
       "L/73v/+hqqoKPM/jxIkT+OmnnzBnzpwGe5Qs4crRddLS0uyuHOvj42P3GJ7nsX37dsycORM6nQ7R\\\n",
       "0dE4cOCATU+yhWUo6OHDhzFo0CD06tXLbnuVSiXi4+ORk5Mj1Bm09LQ5Gm7LsizEYjHEYrFQKD4g\\\n",
       "IACffPJJgz+DCoUCc+bMwUsvvXRLpSgsJBIJhg4dio8++ggdOnSAVCoFwzDgOE4IwWKxuNFhqhKJ\\\n",
       "BKNGjYJUKsXx48dvuV3OguYQEkKcBQVCQohDPM/jmWeewU8//YQDBw40qfdjwIABSElJwcKFC4Vt\\\n",
       "+/btw4ABAwAAUVFRCAwMREpKihAAa2pqcOLECcydO/d23MbfmlQqRVBQENzc3MDzvBAaHOF5Hnq9\\\n",
       "HllZWTh69CgOHDgArVZrtU9FRUWDvWlGoxFlZWUAbgY8ywIuFiaTCTt27BACmIVYLMbIkSPtnlOj\\\n",
       "0WDu3LnC3NCsrCzs2bMHTzzxhN37uXr1Kp544gnk5uaiY8eO+PXXX+Hn52cTCqVSKZYtW4aCggJk\\\n",
       "Z2cjMDAQ48ePx4ABAyASiXDlyhXs378fly9fBsdx6NixI8aMGYP4+Hi4urqivLwcBoMBERER8PX1\\\n",
       "bfCzZVkW06ZNQ1paGn7++Wfo9XqwLAuO46DT6ewWvLeEDpFIBJFIJPw5ICAAS5YswaOPPmoTQps7\\\n",
       "T5FhGHh4eGD48OENDvcmhBDinCgQEkIcmj9/PjZv3owdO3bAzc1NmOPn4eEBhUIBAJg2bRpCQkKw\\\n",
       "YsUKADfr5g0ZMgQffvghRo8ejS1btuD06dNYv349gJsPpwsXLsQ777yD2NhYREVF4c0330RwcDDG\\\n",
       "jRvXJvfZnjEMA7lcDplMBp7nm9RTwbIsPDw80KVLF4wcORJmsxk3btwAAHTq1AmjRo1yGDrMZjPO\\\n",
       "nj2LDz74AFVVVZgwYQImTJgAT09PoddNpVKhqKhICEMWMTExiI6Otnve4uJiVFZWCn/nOA6lpaV2\\\n",
       "99Xr9ViwYAEyMjLAcRzOnz+P3bt3Y8KECXBzc7PZPzo6Gps3b4ZarUZwcDCUSqVwf4MHD8asWbOs\\\n",
       "ejzrfoaN9YjX5+7ujn//+99YsGAB8vLyUFNTg4yMDPz222/IyMgQ5nkyDAOZTIbw8HAkJyfjvvvu\\\n",
       "Q2BgIIxGIziOQ1hYGIKCglptMRiRSAQ3NzeaR9gM1ENICHEWFAgJIQ795z//AQAMHTrUavvnn3+O\\\n",
       "GTNmAABu3LhhFR7uuecebN68GW+88YYwb2n79u1WPRMvv/wy1Go1Zs+ejaqqKgwaNAi7d++2Wb2R\\\n",
       "NF1TH14ZhoFUKkVoaCiCg4ORkJCAuXPnoqioCHq9HsHBwQgMDHQYCGtqarBs2TL8/vvvMBqNOHLk\\\n",
       "CD777DMsWLAAgwYNglKpRGVlJSIiIuDj44OysjJwHAepVIpx48bZLHpiIZVKIZFIhDmQEokEcXFx\\\n",
       "dvdNTU3FwYMHhR5Ig8GA//znP4iJicGgQYNs9mdZFkFBQcJQ0ZZ+dk3BMAxcXV3Ru3dv9OzZUxjK\\\n",
       "26FDB3z22WfIzMyE0WiEr68vJk+ejKeeegqBgYFC7yDP80I4bc0VSy09j221Cmp7RIGQEOIsKBAS\\\n",
       "QhxqyiIcBw4csNk2ceJETJw40eExDMNg6dKlWLp06a00j7QQwzBCz5NUKoVSqbRaLMXRwy3P87hy\\\n",
       "5QqOHj0KnU4HnudhMpmQmpqKOXPmIDIyEqNGjcLAgQMRFxeHpKQk7Nu3DzU1NZDJZCgtLYVGo7G7\\\n",
       "sIm/vz9GjRqFX3/9FTzPo3fv3ujbt69NWziOw7/+9S8YDAar7X/99ReWLl2Kn3/+2eYXC5YeuTsZ\\\n",
       "huoGMF9fX6FG4d69e6HX63H//fdjxowZNsNQLSHEEgxbO2jodDp4enq26jnbwrx58+Dn53dbr0GB\\\n",
       "kBDiLCgQEkIIadIDrclkQkpKCmpqaqx+WWApPp+RkYHi4mJUVVVh2LBhiI6OhpubG6qrq6FWq7F1\\\n",
       "61bU1tbi/fffR0hIiNU1pVIpNm7ciF9++QVVVVUYM2aM3XqXZrMZf/31l812vV6PQ4cO4b333sPc\\\n",
       "uXPh6uoKs9kMvV4PiUQCV1fXFn4yt8YSvgMCApCUlASFQoHa2loMHz4cXl5eDX7uRqMRPM9DIpG0\\\n",
       "Spg1m83Izs6+5fM4CwqEhBBnQYGQEEJIo3ieR1lZGXbs2CGsvGlvn+rqauzbtw8mkwnFxcUoLi6G\\\n",
       "wWAQ5hZu3boVe/bswTfffINRo0ZZPUi7u7tj8uTJ4HneYQBiGAaBgYG4fv26zbX1ej1WrFiB9evX\\\n",
       "w93dHSzLws/PD0899RQmTJjQZvPnLPMFIyMjoVAoUFNTg9DQ0AbbYzQacerUKaSlpaF79+5ITEyE\\\n",
       "i4vLLbXDYDBg7969t3QOZ0KBkBDiLCgQEkIIaRDP86itrcWGDRuQnp7e4FBijuNQUlKClJQUaDQa\\\n",
       "qNVqm97EyspK/OMf/8DFixdthi829hAuFouxZs0aJCcno7Ky0qYter0eBQUFKCgoAMMwyMzMhFKp\\\n",
       "bPMFi1iWhUKhQGhoqNBr2ZDCwkK89NJLuHjxIlxdXfHcc89hwYIFt1R6xWw24/Llyy0+3tlQICSE\\\n",
       "OAuaXU4IIaRBWq0WX3/9NVavXm1TosIek8mEyspK1NbWOgyPKpWqxbX64uPjkZGRgXXr1mHIkCHw\\\n",
       "8fGxW4/PMsdRpVLdUu+gwWBASUkJiouLhUVvWoJhGEgkEri4uEAsFjc4V/Pw4cM4e/YsampqUFhY\\\n",
       "iA8//NBhGOd5HkajUeiJdUQulztc5ZUQQojzokBICCHEIbPZjLS0NPzrX/+y2yNnj2VRlIbe79+/\\\n",
       "v905gk3BMAx8fX0xe/ZspKSk4NKlS1iwYAFiY2NtQiHLsujdu3eDPXIcx8FkMtltc2VlJV544QX0\\\n",
       "7t0bCQkJWLJkSaOhuG7heHtYlhVKdNjD8zwuXLggBDxLCY41a9bYXNvy3rZt27Bt2zaUlZU5PK9M\\\n",
       "JsNTTz3VYNvJ/7H0EDb1RQgh7RUFQkIIIQ5xHIdjx441GDTqYhgGCoUCwcHB8PHxgUQisXpYFovF\\\n",
       "GD58OH744YdGh002hUgkgp+fH1auXIn9+/cjISFB6A1kGAaenp6YOXNmgz2EHMc5vLdt27Zh48aN\\\n",
       "KCwsRH5+PlatWoWvv/7aYeAzmUzIy8vDlStXoNFoHF6T53mYzWaH56lf+sNsNuO3337Dvn37hCL3\\\n",
       "er0ep06dwmOPPYb58+fjhRdewNq1a6HT6eyek2EYhIeHO2wTsUaBkBDiLGgOISGEEIdYloW/vz8k\\\n",
       "EolQaqKhfT09PTFhwgSMGzcOYrEYaWlp+PPPP1FdXY1u3brhH//4B7p3795qBdctJBIJgoKCsGfP\\\n",
       "HqxYsQI//vgjxGIxnn32WXTp0qXBY+sGyPqys7OthmLqdDq88847GDVqFMLCwqz21ev12Lp1K957\\\n",
       "7z3o9XpMmzYNixYtsjvvT6PRICMjAzzPIzo6Gh4eHlbteOCBB7By5UoUFhYKJSgqKiqwYMECPP74\\\n",
       "4+jSpQtOnDiB7du3o7y8HBzHQSQSYfv27ZgxYwYiIiLs3isFl6ajOYSEEGdBgZAQQohDLMti5MiR\\\n",
       "eOSRR7B9+3aoVCqhIHzdAupSqRSxsbF48803kZycDBcXF7Asi6SkJLz44ovCfrf7wdnT0xPLly/H\\\n",
       "yy+/DKPRCC8vL0il0gaPaahN/fr1g0QisVpZtbCwEP/85z+xfv16eHt7g2EYVFdX480338TGjRuF\\\n",
       "Hrr33nsPvXv3xoMPPmh1DZPJhE2bNuHdd99FbW0tIiMj8e6772L48OFCj2pUVBQ++eQTzJ49G5WV\\\n",
       "leA4DmazGfn5+fj4448hFothMpmshrpahqHq9frbUsPQ2VAgJIQ4CwqEhBDihIxGI8xmM2QyWYMP\\\n",
       "swzDwM/PD//+97+xcOFCnDlzBmfOnEF6ejry8/Oh1Wrh4+ODsWPHYtasWQgODrYantkWD8pisRg+\\\n",
       "Pj6tcq4BAwYgISEBR48eFYKwyWTCzp07MXr0aEydOhUA8NVXX+HcuXNWwVGj0eDtt99GcnKyVSgt\\\n",
       "KSnB4sWLUVpaCp7nUVVVhTlz5mD//v2IiIgQahc+9NBDEIvFePLJJ1FeXi70FBqNRqvFbRiGEXpn\\\n",
       "H3zwQfj6+rbKvTs7CoSEEGdBgZAQQpxQWloaLl++jNGjRzcanhiGgVKpRPfu3dGtWzdMnToVarUa\\\n",
       "ubm5KC4uRnBwMCIjIxsNl+2Ru7s7Vq5ciWeffRZnz54VisUbDAacPn0aZ8+eBQCHi9Jcu3YNlZWV\\\n",
       "CAgIAHCzV/XPP/8UAh5wcw5jUVERbty4YTXUUywWY/To0Vi5ciXmzZtnMzeQYRiIRCIolUphOO6o\\\n",
       "UaPg7u7e4PfQlLmgd7vVq1ejurq6rZtBCCF/C7SoDCGEOKGdO3fi+++/x9WrV5sVECwhxN3dHZ07\\\n",
       "d8agQYMQGxsLuVz+twmDluGZZrMZDMOgR48e2LhxI5KTk60WwqnbW+foMzSbzSguLhbet8wFrL+/\\\n",
       "WCyGv7+/zWcoEokwefJkjBkzxqrnlWVZuLm54cEHH8SOHTvw22+/YerUqfD392/1+ZnOihaVIYQ4\\\n",
       "C/qvBiGEOKFu3bqB4zgEBga2+GFWJBI1e16g0WhEYWEhysrK4O3tDX9/f8jlcptyEW2B53nU1tbi\\\n",
       "3LlzyMnJQWBgIBITE6FQKBATE4N33nkHFy9exLVr15oUolmWhbu7OzQajbDoC3CzjqKbm5vQw8Wy\\\n",
       "LPr37+9wIRiZTIZVq1YhJycH6enpYBgG0dHRwnBUFxcXCiS3AQ0ZJYQ4CwqEhBDihEaPHo2kpCS4\\\n",
       "ubndsWvW1NTgsccew8GDB2EymSCVShEXF4fnn38ew4cPh5ubGxiGEXrmpFJpgwXcm0qn00Gj0UCp\\\n",
       "VNpd8bPufsuWLcPGjRuhVqshk8nw6aefYty4cZDJZAgLC0OPHj2QnZ3tMBCKRCJIpVLI5XJ4eHgI\\\n",
       "ZTDMZrMQnuPi4vD666/j008/hVqtRnx8PNavXw+5XO6wbUFBQdiyZQsOHjwId3d3DBo0CL6+vg2W\\\n",
       "0yC3hgIhIcRZUCAkhBAnpFAooFAobukcllUupVJpoz18ZrMZ06ZNw549e4QwZTQakZqailmzZiE6\\\n",
       "OhoJCQnw9PSEWq2GyWRCaGgoBg4ciF69esHb29tquKaldqCll9IRlUqF1atX448//sDAgQPx4osv\\\n",
       "wtPT02Y/nudx5swZrF+/Xui50+l0WLp0KRISEhAZGQkAUCqVDq/l4eGBuXPnYsKECVAoFKiqqoJa\\\n",
       "rYaLiwuMRqMQbhUKBRYsWICJEyfCZDIhMDAQSqWywVDBsiwiIyOFRWfuhh7VvzsKhIQQZ0GBkBBC\\\n",
       "SLNZiqLn5eVh+PDh8PPza/ChOC0tDTt37rTpWeN5HjqdDpcuXcKVK1cgEomE1TSB/ytp4evri9jY\\\n",
       "WAQHB0On0yEvLw8ajQaxsbFYtGgRevbsaROSzGYzVq1ahRUrVkCv1+PIkSP4448/8Ntvv8HLy8tq\\\n",
       "X5PJhI8//hgqlcpqe0FBATIzMxEcHAyDwWDzvoVUKsWqVaswdepUYQ6f2WxGTU0NampqoNPpIJPJ\\\n",
       "hAArl8uFIaJNDRMUAu8sCoSEEGdBgZAQQohDdQMcwzDgeR4ajQZfffUVPvzwQxiNRsybNw/PP/+8\\\n",
       "VQ9eXbW1tXj88cetSiXYu46lx7E+vV4PlUqF7Oxsm/fOnDmDn3/+GR9//DEefvhhq5ILlpp9ltU5\\\n",
       "TSYTjh8/jhEjRuDAgQNwd3cXrp2fn48jR46A4zir87u5uQmlNDiOg1artWkDwzDo1asXHnvsMavP\\\n",
       "QCwWw93dHWazGWq1GlKpFAqFAiKRiAIEIYSQuwb9upEQQogNjuOg1+uhVquh0WiEP1+/fh2LFy/G\\\n",
       "a6+9hpycHBQWFmLXrl12gxJwc95gcnIyrl27dtvaqtVq8fzzz2PGjBmora0Fx3EwGAz48ssvUVVV\\\n",
       "ZbUvz/M4e/YsxowZg5KSEhiNRqhUKnz55ZeoqamxCmpisRjvvPMOunTpAplMBhcXF7i4uNhcXy6X\\\n",
       "49VXX7U7BFckEkGhUKC2thbXrl1DSUkJtFotzGazw3mIPM8Lq5z+HUpEtFe0yighxFlQDyEhhDgB\\\n",
       "juPAcZywsImjB1jLEM4bN24gJycHJpMJLi4u4DgO58+fx6ZNm3D+/HkYDAarUgr1z8fzPAoLCzFs\\\n",
       "2DBkZmbe9mCjVqtx8OBB/PLLL7j//vtRWFiIzZs32/T4Wdp25MgRPPDAA5g1axZqamqwbds28DwP\\\n",
       "iUQCsViM6OhovPzyy5g8ebKwcIuLiwvi4+Oxa9cu6PV6AIBEIkFSUhKGDx9u9zNlGAYymQxGoxHb\\\n",
       "t29HQUEBOnTogGHDhiEuLg4uLi7CUFBLEFSpVCgvL4eLiwv8/Pwc9rw2h6VEhlqtthkuSxy7XUEv\\\n",
       "IyMDnTt3ttleU1NzRxd6IoQQgAIhIYT87el0Oly9ehVZWVlwcXFBdHQ0QkNDIZFIhAdey3DItLQ0\\\n",
       "/O9//8PZs2fBcRz8/Pzg6emJkpISXLx4EVVVVTYhq2fPnjYrZBoMBsyZM+eOhEELvV6Pb775BgaD\\\n",
       "AUePHsX169cd7stxHM6ePYvXXnsNCoUCRqMRLi4uiIqKwosvvogHHnjAZqEXsViMKVOm4MCBA0hL\\\n",
       "S4NMJsOYMWOwZMmSBh/ixWIxZDKZcJzZbMb69esxZ84cTJs2DV5eXmBZVgiDV65cwfXr19G5c2er\\\n",
       "IbC3ora2FqtWrcLmzZtx+fLlVjnn393tnENoCYMMw6Bz5864dOkSAMDd3Z16hQkhdxwFQkII+Rsz\\\n",
       "GAw4fvw41qxZg/Pnz0On00GpVKJ///6Ij49HSEgItFotTp06hT179iAnJ8eq96ukpARKpRLl5eVQ\\\n",
       "qVQ2YZBhGNx77702xdDNZnOzi97XZ3kgt9fLZ29fkUiErKwsrF+/HllZWcJ9OGJZ9KW2thZSqRRR\\\n",
       "UVFYsWIFhgwZYre4O8MwCA8Px5YtW1BeXg4PDw9h9dOGAgHDMPD19YVGo4FarYbZbEZOTg4+/fRT\\\n",
       "hIaGYuTIkVAoFOA4DiaTCSKRCIGBgQgICGhSkXl7PbR1cRyHDz/8ECtWrIDBYGj0fOSmO7GoTN2f\\\n",
       "bRp2SghpKxQICSHkb8oybPObb77B8ePHUVFRAZPJBJ7nkZWVhc2bNwO4+VBqNpvtBi+O4yAWixuc\\\n",
       "zxYSEmLzMCuXyzFt2jS88cYbVgvFWEom8DzvMOgxDIOgoCBMmzYN3t7e+Pzzz5GRkeFwf5Zl4eLi\\\n",
       "AplMhtraWhQVFUGtVjcpSFqGaRqNRkRERCAxMbHBECYSieDr69vsnjsPDw/07dsXaWlpAG5+rpWV\\\n",
       "lbh69apQd1EkEsHNzQ0dOnQAy7JwdXVtcGVRy0I8lqGujgJFTU0NPv74YwqDzdSSQJiSkoJFixYJ\\\n",
       "2/v27YsJEyY4PC4sLAy5ubk0jJcQ0qYoEBJCyF2soKAAUqkUrq6ukMlkzepFMBqNSE9Px6VLl6DR\\\n",
       "aKwWKmlKzx3LsujevTsSExPx66+/4tKlSzbHWRafsXfsc889B47j8Mknn0CtVsPHxweDBg1C9+7d\\\n",
       "kZmZiV9++QUlJSVWwU0sFmP8+PH473//Cw8PDwDAP/7xDwwaNAgXL160uY5EIkFkZCSCgoKg1+tx\\\n",
       "7do1oReuPstn5+jeO3XqZHfRmNYgkUiwcOFC/Prrr8jNzQVwc05iTEwMFAqFUKPQMry0KbUGOY5D\\\n",
       "VVUVDAYDfH19IZPJ7O534cIF1NTUtPo9/d21JBCmpqYiNTXV6j17P2/5+fkICQlBXl6e1TVouCgh\\\n",
       "pC1QICSEkLvYY489Bnd3dwwePBhPPPEEgoODm/yQynEcjEYjFAoF5HI59Hq9sLhMUx48g4OD8cEH\\\n",
       "HyAyMhJJSUmYOHGi3VU7r127hqFDh9ocL5VKsWjRIsyfPx9arRYuLi5QKBRCD+G7776LDRs24LPP\\\n",
       "PkNlZSUCAgKwfPlyPPTQQ1a9dF5eXli7di2SkpKsehslEgkmTZqEp59+Gmq1GufOncOHH35ot2dQ\\\n",
       "LBbD398fHh4eKC4uRnV1tVVoVCgUGD16tLCAjD2NDc1sTFRUFL755hssWrQI5eXlGD16NIYOHQq5\\\n",
       "XC6Ev+ac32QyITs7G6WlpUhISIC/v7/d4y9evEhB4w6Jj4/HiBEjhL/37dvX7n4hISHCn729vVFR\\\n",
       "UQHg/0q7EELInUSBkBBC7mJnzpyBSCRCeno6AODZZ5+1W97AHqlUisGDB0OpVGL37t04fvw4CgoK\\\n",
       "oNFohFISliGH9fn6+uLw4cMICwsDACQlJeHIkSNITEy0KjHB8zz27duHmTNn2g0jLMvC3d1dqPlX\\\n",
       "/xqvvPIKXnnllUbD1uDBg/HPf/4Ta9asgdlsRkhICPbt24eYmBhhQZYBAwbg3Llz2LJli01wHD16\\\n",
       "NFatWoWgoCDwPI/y8nLs3bsXR44cgZ+fH6ZNm4ZOnTrZbQPHcbh+/Tp27doFLy8vJCUlwdfXt9nh\\\n",
       "kGVZDBw4EIcOHYLZbBaK1LcUwzBQqVQ4ffo0WJbF0KFD7f5sREdHU9BogZb0EI4YMQLvvfdek69R\\\n",
       "v84nIYS0BQqEhBByF1MqlZBIJAgKCkJ0dHSDPVj1sSwLT09P9O3bF76+voiMjMSFCxcgFosRGxsL\\\n",
       "nU6HI0eO4OTJk6isrBTmsnl7e2PTpk0IDQ21Ol9cXBxmzJiBdevWWT3IFhUV3XLvWWPHsiyLZcuW\\\n",
       "oUePHigrK8OUKVMQEBAgHCcSiaBUKvHCCy/gyJEjyM3NBc/zEIvF6NatG9555x2Eh4cLASwkJAQz\\\n",
       "ZszA9OnThes7aoNarcaKFSuwbds2mEwmxMXFYd26dejevXuLAh3LsrcUBC3EYjEiIiKQnp6OwsJC\\\n",
       "1NTUQC6X29xHfHw8PD09hV4o0jR3YlEZQgi5G1AgJISQu9j9998PT09P9O/fH0OHDm12TTrLgivB\\\n",
       "wcGIjo6GwWBAREQEkpOToVAo8MILL8BoNKKoqAgXLlyA2WxGYmIiAgMDbR5yWZbFihUr8MsvvyAv\\\n",
       "L0/Y3pSVMFuDi4sLpk2bBp7n7QYqhmHQtWtXbNiwAWvWrEF5eTkGDBiAp556ClFRUTbHNPWBv7q6\\\n",
       "GqdOnRKGmZ4+fRozZ87Erl27EBAQ0Gr311wsyyI4OBi9e/dGTk4OSkpKhFVP6/Lw8MDWrVsxdepU\\\n",
       "lJeXt1Fr2587EQhZlrUqO0EIIW2BAiEhhNzFlixZAoVCAU9PT7i4uDT7wdPyUKtWq3Hy5EmcOXMG\\\n",
       "ffr0wdixY4UgJxaLERUVhaioqEbP5+Hhga+//hoPPPAAdDodWJZFYmLiHeshaewhXSKRYMiQIejf\\\n",
       "vz+Am8NmLQu2tJRUKoWHh4dwDrPZjCtXruDgwYOYOHFim/YOyeVyxMXFwWQyoaKiArW1tfD09LRq\\\n",
       "E8MwGDFiBDIyMnDt2rU2a2t7czsD4Ztvvolly5aB53mrMLhz585mnYcQQlrDrY9ZIYQQcttER0cj\\\n",
       "ODgYSqWyRcMMeZ6HXq/Hrl27sGHDBvz+++9Yt24damtrW9ymgQMHYt68efD09ERYWBimTp16Vw2Z\\\n",
       "E4vFUCqVwnDbW22bh4cHJk6cKBSQt6wAWl1d3ebz8liWhYeHB8LDw6HX65Gfn2931VeGYeDh4YHe\\\n",
       "vXu3QSvbJ0sgbOqrOZYuXSqs9lv3NWrUqNt0N4QQ4hgFQkIIuYtZFh65lVCj0+lw9OhRVFRUwGAw\\\n",
       "oLKy0mrIZ3OJxWI8+OCD6NKlCwYNGoTg4OAWn6s9EIvFSEhIQEREBGQyGcRiMRQKBXx8fNq6aQBu\\\n",
       "/oy4uLiA53mUlpZCo9G0eVAlhBDSftCQUUIIaad4nodGo0F1dTVYloWbmxvkcrnNwjPV1dU4fPgw\\\n",
       "dDodgJurZr722mvYvn17sxapqat79+548803ERsba3cF0TvFUpzdaDSCYRhIpdIW35MjIpEIPXv2\\\n",
       "xLvvvou1a9ciOzsb3bp1Q58+fW57zyjP8+A4rsGeKIZhoFAoYDAYkJqaiurqagwfPrxNv5e/A1pU\\\n",
       "hhDiLCgQEkJIO2QymbBr1y4sXboURUVF8PT0RHJyMubOnYvIyEirUCSXy2E0Gq2OP3LkCNRqdYtC\\\n",
       "g9FoRHl5Ofz8/BAYGNgqK2a2hF6vx/Hjx/HRRx+hoKAAvr6+WLJkCfr27dvkNll60hp7oJfL5Rg8\\\n",
       "eDAiIyNx9epV+Pn5Oaz715osgVer1cJoNEIqlUKhUNgMheV5HmVlZTh06BB2796NgoICzJw5s8kl\\\n",
       "SogtCoSEEGdBgZAQQtoZnufxxx9/4IknnkBNTQ0AoKCgADk5OaiqqsKHH34IDw8PADcfVH19fdG7\\\n",
       "d2/s3r1bCEAGg8HuXLPGrltQUIA1a9bg9OnTGDZsGDp16tS6N2fnmpaX5aGb4zioVCr89NNPeOut\\\n",
       "t1BYWAiO48CyLMrLy7Fnzx54eXk1em6O46DT6WAwGCCXyyGTyRp8sJfJZIiMjBRqGUql0kbPbzKZ\\\n",
       "hFqPLMtCLBY3u/6gwWDA1atXkZqaitraWsTFxaF3797w8vKCWCyG2WxGTU0Nzp49i7Nnz6KmpgZX\\\n",
       "rlyBp6cnHn/88TYL7O0dBUJCiLOgQEgIIe2MXq/HihUroFKphIBnGT566NAhVFdXC4EQuLlK5urV\\\n",
       "q9GvXz9UVVUBuFmHz9XVtcnX5DgOP/zwA2bPng2VSgUAuHjxIqZOnQqlUtkq91V33pslrOXn5+Ov\\\n",
       "v/5CQUEBlEolAgMDIZPJcO3aNfz4449WC7vwPI+8vDxkZWUhISGhwYd0nudRW1uLixcvIj8/H2Fh\\\n",
       "YejatWuj92IJdBzHWQ3nrMtsNgtzNfPz81FWVgaO4+Dm5obg4GAEBQXBxcWlyUHNbDbjxo0b2Ldv\\\n",
       "H7Kzs+Hq6ophw4bhoYceQmhoKEwmE06cOIE9e/agvLwcZrMZOp0Or7zyCoYOHfq3n+N5u1AgJIQ4\\\n",
       "CwqEhBDSztTU1KCmpsbuQ6hUKoVcLrfZHhsbi19//RUzZ85ERUUFvvzyS7v7OZKTk4NZs2ZBrVYL\\\n",
       "24qLi5GWlobw8PCW3cj/ZxkWaekJtPQAnjp1Cp999hlOnToFjUYDiUSCoKAg9OzZExEREejSpQs4\\\n",
       "jkNmZiZqa2vBsizCw8NRXl4Ok8nUYM3G2tpa7NmzB9u3b0d5eTk6duyIp556Cl26dGl0DqJllVFL\\\n",
       "8NNoNCgpKUFWVhauXbuGkpISVFVVoaamBmq1GiaTCWKxGJ6enujRoweGDx+OmJgYu0Xk7V2LYRgY\\\n",
       "DAZUVFSgsLAQRqMRBQUFyMjIwIABA6DRaPDjjz8iOzsbJpNJOLagoACrV6/G8uXLm12/klAgJIQ4\\\n",
       "DwqEhBDSjliGRo4dOxbFxcUoKyuD2WwGwzBwdXXFE088YXe4JMMwuOeee5CWlga1Wg0/P79mPcTu\\\n",
       "2bMHGo3Gpi3Z2dm3dD88z8NgMEClUsFkMkEkEoHneZSXl+Pq1avIzc1FbW0t9Ho9jEYjamtr4efn\\\n",
       "h9GjRyMsLAwikQi1tbXIy8tDeXk5iouLodFoUFxcjKCgILvhTq/XY+vWrXj//fdRXFwMnueRmZmJ\\\n",
       "Tp06oWPHjk1alMYSClUqFb755ht8+umnyM/PFwKZWCyGTCaDQqGATCaDRCKBXC5HQUEBjEYjZDIZ\\\n",
       "wsPDIZVKbb6H+nMDgZv1FY1GIzQaDbRaLVQqFUpKSnDo0CEYjUZUVlbazBM1m83YvHkzpkyZYhV0\\\n",
       "aQgpIYSQuigQEkLIXazuPD/Lg7ybmxueeeYZjBkzBkePHsWpU6dgMBhw33334ZFHHnHYG8QwjFCf\\\n",
       "r7m8vLzAMIzVsE6GYRAREdHsc9VnNptRW1sLs9kMpVIJmUwGPz8/DBs2DBqNBr/++isKCwvh5uaG\\\n",
       "5ORk/OMf/0BERISwsArP84iKioLZbMb169exc+dOHDt2DPfddx+GDh1qNdeP53lkZWXh3XffxY0b\\\n",
       "N8BxHICbn/OePXswbdo0yGSyJrWbYRhwHIedO3fi+vXrVr1zZrNZmD9oMBiE3qaqqipUV1dDr9fj\\\n",
       "gQceQFBQEBiGgUqlQnV1NeRyOfz9/eHq6gqRSCTMDywoKEBZWZmwuIylvqRl+K7lPuorKyvDJ598\\\n",
       "grlz58LPzw8syyI0NLSlX5VToR5CQoizoEBICCF3sffeew8uLi6Ijo5GQkICAgMDIZVKIZPJhCGI\\\n",
       "s2bNAsdxkEqlt21o4H333Qd/f38UFRUJ2/z8/DB48OBbOi/DMBCLxcJ8RqVSKfSaeXl5ISYmBk88\\\n",
       "8QTKysogk8kQHBwMV1dXq14uhmGEhVq8vLxw5MgR7Nu3D//73//w1FNPYdmyZUIotCzIk5+fD7PZ\\\n",
       "LJzDYDDg/Pnz0Ov1cHNza3LbLcGtfiCruxiO0WiE2WwWwl1VVRVKS0tx8eJFhIeHIz8/H6dPn0ZJ\\\n",
       "SQkAIDAwEMnJyUhKSoK3tzeuXbuGXbt2IS8vDwaDwSqUN1Zv0GQyYf/+/RCJRIiJiYGHhweefvrp\\\n",
       "Jt3f3WzevHnw8/O7rdegQEgIcRYUCAkh5C62atUqSCQSdOnSBe+88w6Cg4OFh09LELoTpQW8vb2x\\\n",
       "c+dOTJs2Dbm5uQgMDMSGDRtapTi7WCyGm5ubsApn3YdrhUKBkJAQYWGUhh68LcM4LStt8jyP1atX\\\n",
       "IyEhARMmTBDm/V2+fNmqNw+4GawqKytttjdGLpdj5MiR+OOPP2xCoSVQWOYaWgKo0WjE9evXUVFR\\\n",
       "AalUCpVKBa1WKxxfUVGBzMxMbNu2DR07doRarcbFixehVqubXXCe4zgUFxdj//79yMjIQFBQULOO\\\n",
       "d2YUCAkhzoICISHtXHZ2Ng4fPozr169Do9HAz88PvXv3xoABA5q1aAi5O2k0GojFYtTU1MDd3b3V\\\n",
       "i643FcMw6NWrF06ePIna2lq4uLjAxcWlVR6EGYYRhn86Ol9Tr2M2m1FWVmZVXuPtt9/GyJEj4erq\\\n",
       "CrPZjNLSUrvBiuf5ZvewikQiTJw4EatWrUJubq5VXUOWZcGyrBAG617TaDSiurpaCIz1e/0MBgNy\\\n",
       "c3NRXl4OnuetAmNz8DwvrNZaXV0t9EKSpqGgRwhxBhQICWmnNm3ahI8//hinT59GQEAAgoODoVAo\\\n",
       "UFFRgatXr0Iul2PKlClYtGhRq8zzIm0jNjYWQUFBePbZZxEXF3fLD6iW8hQajQZubm6N1t6ri2EY\\\n",
       "KBSKVu+RrNvjeassJRfqunbtGs6ePYvExERUVlYiPT3dbiDs3LmzVbmOpgoODsYXX3yBiRMnorKy\\\n",
       "UqiZyDAMjEajMOfPXlsbuxfLqq4tCYN1z6PRaKDT6YSyI6Rx1ENICHEWFAgJaYd69+4NqVSKGTNm\\\n",
       "4Mcff0RYWJjV+3q9HseOHcOWLVuQkJCAtWvXYuLEiW3UWnIrPv30U/j6+iIqKgpiseP/y7bMUROJ\\\n",
       "RA57Ec1mM/7880+88sorKCoqwoABAzB//nz07NkTCoWiTVefrFt4/lbo9Xqb8GQ2m5Geno7Y2Fik\\\n",
       "p6ejsLDQ5jiGYTB16lSbz65uj58jDMMgMjISXl5eqKqqspo7CNxamGtNHMfZrERKCCGEUCAkpB36\\\n",
       "17/+heTkZIfvy2QyDB06FEOHDsXy5cuRk5Nz5xpHWlX//v3tzq2ry1JkvaSkBJ6envD29rYbbI4c\\\n",
       "OYJx48YJxdxv3LiBgwcPYvr06Zg6dSoiIiIgl8vveDDkeV7oLbvVaxcXF9vtecvMzERWVhZ++eUX\\\n",
       "q1qKFhKJBA888IDNZ1xeXo7q6mqhmLw9HMchIyNDKEBvCZHNne9nT/2VXetjWVYoSdGU4NkabXIW\\\n",
       "1ENICHEWVIyIkHaooTBYn4+PD+Lj429ja8jtJBaLG503aClBYAkv9gKR0WjE5s2boVKphFBgNptR\\\n",
       "Xl6OvXv34tChQyguLnY4vPF2svRcNTaEsimKiorstt8SmOuWmqhLKpXC09PTahvP8zh9+jR27NiB\\\n",
       "a9euOWyf0WgU6jS25mfXWCBhGAZubm6IiooSVmltyjlJ01g+/6a+CCGkvaIeQkL+JkpKSlBSUmLz\\\n",
       "sNujR482ahFpDZYes8aCgUKhgJeXF6RSqTBk0XIMz/O4fPkyvvvuO5tQo9frcfnyZXz++eeoqKjA\\\n",
       "gw8+iNjY2Du6IFFNTQ1SU1MRFBSETp06ORwa29jwTbPZjB07dtiEMpFIBJPJhLy8POTn59sNbSEh\\\n",
       "ITahqqamBk8//TQqKyuxYcMGrFmzBoMHDxYWnrH0zL7++uv473//C4PB0Ox7b4hIJIJcLofBYLA5\\\n",
       "N8MwCA0NxRdffIG4uDicPHkSM2fORGVlpc156oeW1gjezoB6CAkhzoICISHtXGpqKqZPn45Lly5Z\\\n",
       "PTBbAgE9/LVvTXnQtNTDi46OBnAzSNQ9zmg04uDBg9BqtQ7Pr9frcePGDVy8eBGenp4ICgpqcM5i\\\n",
       "a9Hr9di4cSM+++wz+Pj44KOPPkJiYqLV0FGe56FSqXD8+HHk5OSgS5cu6N69u1U9QqPRiOLiYqSk\\\n",
       "pNgEPoVCgbCwMHh6egrH1P3FCcMw6N+/v9X98jyPPXv2IC8vDzzPIyMjA48//jiefPJJPPzwwxCJ\\\n",
       "RPj999/x6aefIj8/v1nzBC21F0UiEQwGg91jxWIxQkNDERkZiZycHOTn5wvz/xiGgZ+fH3bs2IGe\\\n",
       "PXuCZVk8+OCD+Prrr/H4448L5SlYloVCoUBERATCw8PBMAyqq6tx9OjRJrfVmVEgJIQ4CwqEhLRz\\\n",
       "s2bNQseOHfG///0PAQEB9GDipCylG+qzLG6i1Wohk8msCpuLRCJ4enoiPj4egwcPRnR0NNzd3VFR\\\n",
       "UQF3d3ehNmBD6oav5v7scRyHEydO4L333hNWx3366afxww8/IDo6WghupaWlePbZZ7Fz507odDpI\\\n",
       "pVJ06NABs2fPRlJSEpRKJc6fP489e/aguLjY5nOJiIjA8OHDERAQgIKCApw9e1aYRwncnD947733\\\n",
       "WrXfYDDg888/F8Iaz/MoKyvDBx98gFWrVoHjOJhMphYNEfXx8cG8efMQFxeHvXv3Ytu2bVCpVOA4\\\n",
       "TujtTUpKwrx58+Dv74+zZ89i3bp1uHTpEkwmEwICArBu3TohDAI3v8vk5GSsWrUK77zzDnQ6HXr3\\\n",
       "7o0XX3wRvXv3FlaGNZlMcHd3b3abnREFQkKIs6BASEg7d+3aNfz444+IiYlp66aQu1hkZCQ6duyI\\\n",
       "rKwsGAwG+Pv7Izk5GU888YQwRNRkMqGqqgoVFRUoLCyEWCxusNagRqPBuXPnkJubi9jYWMTGxgr7\\\n",
       "MwwDjuNgNpvBcZyw+mndYaxVVVV44403UF5eLgSvjIwMrFy5Eq+99hq8vLxQUlKCxYsXY/v27dDr\\\n",
       "9QBu9gamp6fjlVdeQXh4OPz9/ZGXl4fy8nKboZVyuRyzZ89GfHw8JBIJpk6dinPnzmHHjh3C+by8\\\n",
       "vGz+/eh0OpvFmHieh8lkanbx+rokEgneeecdzJw5ExKJBI888giWLVuGL7/8Evv374ePjw+mTp2K\\\n",
       "QYMGwdXVFQzDoHPnzhgyZAhOnjwJlUqFwYMHIyYmxiasi8ViTJkyBfHx8TCZTOjUqZNVL2rd+2jv\\\n",
       "Vq9ejerq6tt6DQqEhBBnQYGQkHZuxIgROHfuHAVCYpelQHpkZCQeeOABZGVlwcvLC/Pnz0d0dDSk\\\n",
       "UqnwMMtxHCQSCYqLi3H8+HFUVVWhV69educTqlQqzJo1C7t27YLJZIKrqytGjhyJBQsWoEOHDuA4\\\n",
       "DpmZmdi5cyeuXr2Krl27YsKECYiKioJEIoFWq8WXX36JM2fOWA2ZNJvNOHbsGD7//HO4urrit99+\\\n",
       "w4kTJ4TwZsFxHNRqNa5cuYKsrCyhuHvdc7Esi0GDBmHSpElQKpVgGAZBQUFYvHgxCgsLkZaWBp7n\\\n",
       "ERUVZXdBmfrbWoNSqcS4ceMglUoB3AxxISEhePXVV/HSSy8BuNnbVzfEKRQKREVFCfVEWZZ1GEDk\\\n",
       "cjm6d+8OhmEaXYyIEEIIASgQEtLubdiwAdOnT0d6ejq6detmM2zwoYceaqOWkbsFy7JwcXFBdHQ0\\\n",
       "AgMD0bVrV8TExNj8rFhKGOTm5mLr1q1QKpV47rnn0L9/f6twwXEc3n//ffz000/CHFW9Xo8ff/wR\\\n",
       "ly9fRr9+/VBcXIyjR4+irKwMZrMZ27ZtwyeffIJRo0Zh6NChyM7Oxpdffmk1r9Ey7NVsNuP3339H\\\n",
       "Xl4eioqKHC7WYilXYQmDdTEMg4CAAHzyySdwd3cXApRIJEJMTAxef/11rFq1CqWlpYiPj4dCobAq\\\n",
       "FyGXy/HYY48hLS1NWHm1oZ41S9ulUin0er3Den/u7u7w8PBweHxD529KwLPMTyS3jnoICSHOgv6r\\\n",
       "QUg7d+zYMfz555/YtWuXzXu0qAwBICwmcurUKVRVVYFlWdxzzz1299XpdPjkk09w8uRJ8DyPkydP\\\n",
       "YvPmzbjnnnvAsix4nsfVq1fxwQcf2Pxs6XQ6nD9/HleuXIFOp7MKRRzHoaysDF9//TU2b94sDCm1\\\n",
       "9OgxDAO5XI4OHTrAw8MDmZmZKC0tdbhYS92hp/a4u7tj9+7d6NSpk817ljmDQUFByM7Ohp+fH7y9\\\n",
       "va1WZ5VKpXj66acRExODPXv24PTp08jKykJVVZXVkFGRSIQePXpgw4YN6Nq1K0QiEcrKyvDggw8i\\\n",
       "NTXV5tr33nuv0DvY2hpbhZU0DwVCQoizoEBISDv3zDPPYOrUqXjzzTcREBDQ1s0hd6mcnBwcOnQI\\\n",
       "ZWVlyMrKwuOPP263p6q4uBjnz58XeuUKCwuxevVq9OzZE66uruA4DhcuXHDYa2c2m6HX6xucZ2c2\\\n",
       "m+0WXJdIJELpB51O5zDsWYbBWn7hYa93cOTIkYiLi3PYBolEgvDwcHh7e0MqlVrNlawbCocMGYIe\\\n",
       "PXogJycHe/bswU8//YQbN24Iw2SfeuopvP7661YlKwIDA/HVV18hPj4eOp3O6prz5s1rdKGeljCb\\\n",
       "zTAajRCLxdRD2EooEBJCnAX9V4OQdq68vBzPPfcchUHikNlsxqFDh3D16lXo9XpUVFTg3LlzGDx4\\\n",
       "sM2D7Llz51BbWyv83WQy4c8//0RRURGio6PB83yD9fbqz+NrDr1ej7KyMri4uNgNehYsy0KpVIJl\\\n",
       "WajVapvhmUqlEq+//nqDQzCBm/PtJBKJEDAtQ1At98HzPCQSCXx8fODq6gp/f3/ExMTg2LFjkMvl\\\n",
       "mDRpEhISEuxep1OnTnjkkUewefNmYfXQoUOHIj4+vkWfTUMsK8nq9XphaCkFlFtHgZAQ4iwoEBLS\\\n",
       "zo0fPx779+9Hhw4d2rop5C6lVquxf/9+aLVaIfT873//w8CBA23mpV26dMkm0NXW1qK2tlZ4QA4P\\\n",
       "DwfLsi0ejmwJLHVDnyXUlJaWws/PTwhq9kKhVCpFdHQ0fHx8kJWVhcLCQiEUisVijB8/3u5Q0fpY\\\n",
       "lhV66ziOg16vR21tLaqqqmAwGCCTyeDl5QWZTAaZTIagoCCMGjUKSUlJjZblEIlE+PTTT6HRaHDi\\\n",
       "xAn07t0bGzduvG3DRVmWhVQqhVgsthtOLEHdsnAQaRwFQkKIs6BASEg717FjR7z66qs4cuQIunfv\\\n",
       "bvOw989//rONWkbuBjzPIzMzUyiwbnHw4EEYDAahPp2FSqWyCWFSqRS+vr7CQ29ERATkcrnDhVMs\\\n",
       "D9L1z8OyLDw8PODv74+ioiLU1NRYvc9xHDQaDXieh5+fHzQajc3qosDNoZfdu3dHUlISysvLsXfv\\\n",
       "Xly+fBk8zyMxMRHLly9vMPTUDaKWdhqNRmRlZWHLli04cuQItFotQkJCMHPmTPTs2RM+Pj6QyWRQ\\\n",
       "KBRgWbZJvXDu7u7YsmUL1Go1XFxcblsYtCxIYwnR9Wm1Whw7dgzbtm3DlStXsHfv3tvSDkIIIe0T\\\n",
       "BUJC2rkNGzbA1dUVBw8exMGDB63eYxiGAmE7d/nyZYjFYiiVSri7u0MulztcbdIy960ujuOQkpJi\\\n",
       "E6zKysqgVqutAqG94xmGQUJCAvz9/YX33N3d4e7uDpVKZdOGuqth1l2ZUyKRoHfv3li4cCFEIhH+\\\n",
       "9a9/4ezZszbHm81miMVixMfHQyQS4cqVKzY9kUajEQqFAn369IG3tzceeughYbGcsLAweHt7O+wl\\\n",
       "M5lMMBgMYFlW6E3jOA7FxcX48MMPsWPHDiGUXrx4EWazGTNmzMCAAQPg4+Mj1FNsKolEclvKV9Tn\\\n",
       "KJxyHIejR49i1qxZKCwspEWmmoF6CAkhzqL1Z7YTQu6o7Oxsh69r1661yjU+/fRTREZGQi6Xo1+/\\\n",
       "fjh58mSD+3///ffo3LmzUBNt586dVu/zPI/FixcjKCgICoUCSUlJyMzMbFHbLKHD0SszM1N4sGuP\\\n",
       "rx49eqBLly7o0KEDOnfujOeeew45OTkwmUxC2Ko73FGn04HjOOH+tVotTp06ZdNbZzQaUVhYaLWN\\\n",
       "4ziUlpZaPdy6urpi+fLlVr1bYrEYXl5eNt+FpadKJpNBLBYLC79IJBJ069YNa9euxZgxYzB06FB0\\\n",
       "7drV7kM0x3EQi8W4//778cwzzyAsLMxmP4PBgCtXrkAkEsHLywvh4eHo2bMnevToAR8fH7vDOHme\\\n",
       "F+YoVlRUQK/Xg+M4mM1mqNVq/PTTT/j555+hUqlgMplgNpuh0+lw7tw57N+/H3l5eTAaje3uwZ/n\\\n",
       "eVy4cAGlpaUwGo0tnt/pjJr7b/VuVFBQcNe2jRBy96BASMjfVGFhIVauXHnL59m6dSuef/55LFmy\\\n",
       "BGfOnEHPnj2RnJyMkpISu/sfPXoUkyZNwpNPPom0tDSMGzcO48aNQ3p6urDPypUr8e9//xvr1q3D\\\n",
       "iRMnoFQqkZycbLUiI7nJaDTCaDRCq9UiLy8Pa9euRXJyMg4dOgSNRiO8d/36dRw8eBDHjx9HcXEx\\\n",
       "9Ho9DAYDiouLcf36dZvzms1m7Ny5EwaDQZhfdv36dRw5ckR4gBSLxZg8ebJQ6NyC53koFAqrbZZV\\\n",
       "OT09PeHu7i4MX7T0GPbo0UP4pYJSqURQUJDDB1WGYdC9e3c89NBDWLhwoc2wVrPZjPT0dFy6dAk8\\\n",
       "zwu9do6GcfI8LxSxT0tLQ35+PnQ6HUwmE3Q6HdLT07F+/XrU1NRYBWee51FbW4usrCxkZmYKczDb\\\n",
       "E5Zl0a1bN0ilUgoGzfR3CITBwcFt3QRCSDtAQ0YJaedmzZpld/v169dx8uRJvPzyy7d0/o8++ghP\\\n",
       "PfUUZs6cCQBYt24dfvvtN2zcuBGvvPKKzf4ff/wxRo4ciZdeegkAsGzZMuzbtw9r1qzBunXrwPM8\\\n",
       "Vq9ejTfeeANjx44FAHz11VcICAjA9u3b8fjjj99Se//uzGYzsrKy8MILL+D9999HXFwcamtrcfTo\\\n",
       "Uezfvx9GoxGJiYkYPHgwPDw8cPToURQWFtoEGZ7n8Z///Ad6vR6dOnVCWloatm7dKsw1ZFkWvr6+\\\n",
       "eOKJJ2zm45lMJohEIrAsK6ygqVQqERERgcjISFRVVeHixYtCL6XJZML169eh0Wjg5uYGAAgKCoJY\\\n",
       "LLYZwlj32r6+vhg/fjw2bdqE06dPW91DZWUl1q5di549eyIiIqLBYbQqlQrHjx9HSkoKeJ5H//79\\\n",
       "ERgYCIlEgrKyMvznP/9Bdna23bBn6WUtLi6GRqOBj49Pi763tmIZ8nvPPfcgJSXF4bxPYuvvNGTU\\\n",
       "0QJNhBACUCAkpN2rrKy0+rvZbMa1a9dw6dIlrF279pbObTAYkJqaildffVXYxrIskpKScOzYMbvH\\\n",
       "HDt2DM8//7zVtuTkZGzfvh3AzSGuRUVFSEpKEt738PBAv379cOzYMQqETcBxHC5duoRVq1ZhwoQJ\\\n",
       "0Gq1+P333/HXX38JxeFPnDgBPz8/HD9+3OZnxHKO3NxcLFu2TOghrPvAyDAMXFxchPcswzAtAUmh\\\n",
       "UEAqlQoLwNx///0YNmwYFAoFjh49iqtXrwqB0NKjd/78eWE+Xbdu3RAQEIDc3Fyb63p6ekKpVEIs\\\n",
       "FsPPzw/jx49HWlqaVW1Ds9mMo0eP4v3338dbb70FPz8/YYhq3XusqanBjh07sGHDBhQUFMDX1xdy\\\n",
       "uRz+/v5wcXHBzp07sWvXLodBybKAjGWFzvbIzc0NH330EWbPnm133iax7+8UCAHY9Oi3159nQkjr\\\n",
       "o0BISDv3008/2d2+fPlybN++HU8//XSLz11WVgaz2WxT4zAgIACXL1+2e0xRUZHd/YuKioT3Ldsc\\\n",
       "7WOPXq+3Whil/gqVzsZoNOLixYvw8fGB2WzGlStXUFlZKdSjMxqNkMlkyM/Pd7iQSGMhR6fT4fr1\\\n",
       "6+jTp48wHNOyIqeHh4cQ2gYMGICHH34YMTExMBqNKCgosCqOzvM8NBoNMjMz0b9/f0ilUgQFBaFT\\\n",
       "p04oKCiwKWLv7e0tDDkViUSIjY2FRCKx2U+v1+PgwYO4cuWKsJCM5aHXEkSvX7+On3/+GZmZmcIw\\\n",
       "0StXriAyMhI8z+OPP/6AWq12+BnUrat4OwrK3wkMwyAsLAyTJ0+2qjFJnIPlFy7Lly/H8uXL2+XQ\\\n",
       "Z0LI7UWBkJC/qUmTJuGdd95p62a0mhUrVuDtt9+22rZkyZI2ak3bs/Twbdu2DcDN3lxLOQWNRoPq\\\n",
       "6mq7PX9NxfM8KisrsWbNGohEIiQlJcHNzQ0cx8FgMGDIkCHw9/dHYmIiRo8eDW9vb7AsC4PBAJVK\\\n",
       "BQ8PD+Tn5wvns4S38ePHw8XFBVFRUVi5ciWef/55HDlyROihk8lkGDx4sDDnzTL/MCAgANevX7e6\\\n",
       "F47jkJmZiUWLFuHLL79EcHAwXFxcwDAMTCYTsrOz8eqrr+LAgQPCLxO0Wi1SUlJw7tw5qFQqlJSU\\\n",
       "NDiMUqvVorCwEMXFxQ7DM8dxMBqNMJlMQm1DS3hmGKbJZSpaom75jIYolUrMmjULDz74YKu34e+s\\\n",
       "PfT81Wf5xUj9n9eZM2fi9ddfb6NWEULuZhQICfmbOnfuHHr37n1L5/D19YVIJEJxcbHV9uLiYgQG\\\n",
       "Bto9JjAwsMH9Lf9bXFyMoKAgq3169erlsC2vvvqq1VDUmpoabNiwoVn383djWSGzvrq9Wi3F8zwM\\\n",
       "BgPOnTuHl19+GaNGjcK0adMQFRUFiUSCUaNG4aGHHkJAQIDVAjMMw8DPz89mFVKe51FQUACj0QiR\\\n",
       "SASpVIquXbviiy++wJtvvomff/4ZRqMRUVFR6N+/v1VvnI+PDxISEpCXl2fTS2g2m3HmzBn8+9//\\\n",
       "xqOPPoqEhASIRCJUVFTgk08+wYEDB6DVaoX9DQYDysvLUVFRYVUWwxGDwYDc3Fzs27cPI0eORFhY\\\n",
       "mNV8RaPRiOzsbPz222/IzMyEi4sL/Pz8IJVKodPpIBKJEB0djb59+yI4ONiq57S12CsXYo9UKkVo\\\n",
       "aGirX//vqj0PGbWMwOjWrZuwoFdISAgAUO8gIcQGBUJC2rn68/WAm+Fqx44dGD16tNX7H330UbPO\\\n",
       "LZVKER8fj5SUFIwbNw7A/9W1W7Bggd1jBgwYgJSUFCxcuFDYtm/fPgwYMAAAEBUVhcDAQKSkpAgB\\\n",
       "sKamBidOnMDcuXMdtkUmk0EmkzWr/aTlLD1cer0eBQUF2Lp1K2pra7Fo0SKEh4fDy8sLYrFYKC9R\\\n",
       "F8dxkEgkwqIzFpayB5ZeNJZlERISghUrViA8PBwnT55E9+7d4evra3U+qVSKfv36YdeuXTaBELgZ\\\n",
       "2rZs2YKMjAwsXrwYvr6+2LdvH7777ju7K9c2JQjW3Ven0+Hy5cv47LPPEB8fD09PTzAMA7PZjLy8\\\n",
       "PLz66qvYv3+/EADlcrmwYA7HcZDJZOjcuTNeeOEFjBgxolV/juuWWLnbQkl7154DYVhYGADgwoUL\\\n",
       "6NixI65cuQIfHx+Ul5e3ccsIIXcjCoSEtHNpaWl2tycmJqKkpEQoD9HSB5bnn38e06dPR0JCAvr2\\\n",
       "7YvVq1dDrVYLq45OmzZNeKgHgGeffRZDhgzBhx9+iNGjR2PLli04ffo01q9fL7Rj4cKFeOeddxAb\\\n",
       "G4uoqCi8+eabCA4OFkInaVv15+JxHIfa2lqcOXMGGo1GCDyW9+vWQ9RqtcjKyrJ58LQUgq/fcykS\\\n",
       "ieDj44PRo0cLC9nU1tYKxeMt1/Dz84NcLnc436+iogKHDx/GwoULERwcjLS0NJSVlbVab4jBYMDu\\\n",
       "3btx+vRpDB06FCKRCHq9Htu2bcPvv/8OlUol7KvVaoVeRMvnU1ZWhvT0dLz00kt45pln6Jcb7UB7\\\n",
       "DoSnTp3Cc889BwDCiI3AwEAKhIQQuygQEtLO7d+//7ae/7HHHkNpaSkWL16MoqIi9OrVC7t37xaG\\\n",
       "JN24ccOqh+iee+7B5s2b8cYbb+C1115DbGwstm/fjm7dugn7vPzyy1Cr1Zg9ezaqqqowaNAg7N69\\\n",
       "G3K5vNnta+xBLDY2tl0PkRKLxVa9QHeCZc6bpYcL+L8VO81ms/CZW+r4WQq519TU4Pz58/j222+F\\\n",
       "8hWWfVmWhVQqtTun0TLfqaysDLW1tfDx8YG3tzf8/f2FeYk6nU54QHdUHkKv1+PcuXP466+/hPmU\\\n",
       "ram2thYbN25EYmIilEolKisr8eOPP6K2ttZmbmPd+7KU3igtLcWbb76J6upqLF682KacB7m7tOdA\\\n",
       "CACrV68G8H8LcF24cKENW0MIuZtRICSENGrBggUOh4geOHDAZtvEiRMxceJEh+djGAZLly7F0qVL\\\n",
       "W6uJf1tvvPEGSkpKcPLkSWRkZECtVt/WYGhZyMVe8DIYDKiqqhIWULlx4wZ+/vlnnD59GlVVVais\\\n",
       "rERJSQkqKyuh0+mEMGQ5l1qtRmVlpc12g8GAq1evIj09HVVVVdDpdAgICEBCQgJcXFygUqmgUqma\\\n",
       "9NDtaEXV1sBxHE6cOIGSkhKEhISgsLAQ165ds+n1rDuEs+7iHpbhpytXrkRQUBCefvppu/UTLcc3\\\n",
       "ZVVTqi93+7TXQFj3FzGTJ0/G5s2b76r2EULuPhQICWmHRo4cibfeegv9+/dvcD+VSoW1a9fC1dUV\\\n",
       "8+fPv0OtI61p0aJFMJlMKC8vx/bt27F69Wrk5eU1O/hYgl5jpSZYlhVKNtgLhIcOHYKfnx8qKirw\\\n",
       "n//8B4cPH4Zarbbav35vpuV8ubm52L9/Pzp37gwPDw8AN0OWRqPBtWvXUFxcjJqaGrAsK9RRDAgI\\\n",
       "QGVlJVQqlVCKoi0DUGVlJcrLyxEYGAiO4xr8HuoutFO3zQaDAS+++KJQY7FuKLQEZJPJBJlM1qRF\\\n",
       "aJoTXIhzqPvz9txzzyExMREAHJYLIoQ4NwqEhLRDEydOxIQJE+Dh4YExY8YgISEBwcHBkMvlqKys\\\n",
       "xMWLF3HkyBHs3LkTo0ePxvvvv9/WTSYtJJfLwfM85HI5Jk+eDAD44IMPUFxcbHeBFXsYhoFcLodS\\\n",
       "qYRarbZadbMuS49U3aGidel0OmzZsgX79+9HYWGhULKhKQGN4zhUVlbif//7H7p3747hw4dDJpMJ\\\n",
       "ZSwsQdVoNKKqqgoXL15EVFQU9Hq90EMolUptFqq504xGI4xGI8RiMYKDgxEYGIiysjKb/Sy9NJYQ\\\n",
       "Xv8z0mq1mD17NlxdXTFixAhh+KjZbBbqSIrF4iaVq6AweHu01x7C+hISEqgXmRDSIAqEhLRDTz75\\\n",
       "JKZOnYrvv/8eW7duxfr161FdXQ3g5oNJly5dkJycjFOnTiEuLq6NW0tulaWWnZubG4YNG4a0tDTs\\\n",
       "3bsXVVVVMJlMDdYbZBgGMpkMISEh8PPzw7Vr16DX621ClWXVz4Z6EE0mE/Lz84X5gc19yLQUil+8\\\n",
       "eDF8fHzQvXt3YaXSsLAweHh4oLq6GjqdDrm5uTh79iy0Wq0wf9HSY3Y75gc25x4sq6j6+vpi6tSp\\\n",
       "eP311216Ci2fj1KphFgstjvUt7q6Gi+//DK+++47dOjQASKRCDzPQyKRQCQSCfUMSdv4uwRCQghp\\\n",
       "DAVCQtopmUyGqVOnYurUqQBuPlxqtVr4+PjQYhV/I5agYQl97u7uGDRoECoqKpCTkwOtVguDwYDa\\\n",
       "2lpotVohIAI3V/BUKBQICQlBQkICvL29odPpUFFRYRX6LAu+WIZ22tNai9qYzWZcuHABK1euxPLl\\\n",
       "yxESEgKWZREUFARPT0/cuHEDOp0OxcXFOHfuHDQajbDyqFwuh1wuh9FovK1zBQHHc/MscycHDRoE\\\n",
       "iUSCRx55BO+//77d1Rt5noenpyc8PDxw+fJlaDQam/evX7+Os2fPIjw8HCKRSAiCABqdQ0i9PrcX\\\n",
       "BUJCiLOgQEjI34SHh4cwL4v8fWRnZwu9aBzHobq6Gm5ubujWrRv8/PwA3AxZJSUluHHjBiorK2Ey\\\n",
       "mSCVSuHt7Y3o6Gj06NEDMTEx0Ol0uHjxIiQSCYxGI4CbodHNzQ3u7u6oqKiAwWBocVvrlqpoiNFo\\\n",
       "xB9//IFvv/0W06ZNg0wmE4ZiGgwG6PV6mM1mZGdnQ6fTwc/PD2KxGG5ubvD09IRer4dOp7ttgUih\\\n",
       "UMDb2xsajQaVlZVW75nNZmzduhUPP/wwXFxc4O3tjZiYGLuBkOM4SKVS9O7dG1qtFhkZGTa9ryaT\\\n",
       "CVVVVUL4aMpCMnV7ceuuvFo30FvmW5KWo0BICHEWFAgJIeQu1qNHDyEMRUREIDIyEkqlEgaDAQaD\\\n",
       "warnztvbG35+foiIiEBiYiI6d+4MLy8vsCyL6upq/Pnnn8jJyYHRaATDMBCLxQgPD8fjjz8OFxcX\\\n",
       "fP7557h69Wqz28iyLJRKJTw8PKDT6YShrA1RqVT44IMPsG/fPvTs2RM5OTm4cOEC1Gq1MK9Qp9Oh\\\n",
       "uroaJSUlCAsLE+bsXbx4EVevXoVer29WO8ViMQIDAzF48GAEBQXh7NmzOHXqlFA2gmVZBAcH45NP\\\n",
       "PsGQIUPA8zzGjx+Pw4cPW60Uunv3bkyYMAFvv/02dDod9Hq93R5FjuNQXFyMkpISh/MfLXMrOY5r\\\n",
       "MFRYFt/JycnBtWvXwDAMwsPDERwcDIVCAaPRiIyMDHzzzTcoLS3FjBkzkJSURKMFbsHtDoQDBgzA\\\n",
       "8ePHrbYplUrU1tY2+1yEEHIrKBASQshdTKfTAYBQsiE3Nxc+Pj5CsXiNRiMMoWRZFp6enggLC0NM\\\n",
       "TAxiYmIgkUigUqmQkZGBlJQU5ObmWs07ZFkWXl5eUCgUdksgNIVcLkfHjh0RGhqKGzduQKvVNmme\\\n",
       "n16vR2pqqlAfzdIzWHe1Uq1Wi4qKCri6uiIyMhKhoaHgOA4lJSVCIHak7iqfcrkc/fr1wwcffIAu\\\n",
       "XbpALBbDYDDg9OnTePHFF5GRkQGZTIYpU6Zg+PDhcHNzA8Mw+OGHH3Dvvffi0qVLwnk5jsP+/ftR\\\n",
       "UFCADh06oLS01GEbtFotLly4gKqqKrtzMzmOQ1paGsrLyyGXy+2uKspxHIqKirBmzRrs2LEDVVVV\\\n",
       "UCqV6NmzJ8aNG4cuXbqguroa33//PX7++Wfo9XrwPI/ExET4+PhYhZW6JQlI25k9e7YQBl1cXBAe\\\n",
       "Ho4rV64I9V0JIeROokBICCHtAM/zMBqN0Gg0EIlEqK2tRW1trRDuLA/6arUa58+fh8FgEAJGWVkZ\\\n",
       "jh07hrS0NKuhlpZSEJs3b4ZCoUB+fn6zh2GKxWKEhoaiT58+kEgkKCkpgVgsbnJ5CLPZDLVabXd/\\\n",
       "S2jV6/WoqamBwWCAp6cnoqKikJGRgerqamHoqwXLshCLxZDL5cIiLSKRCLGxsVi8eLHQ42pp+6BB\\\n",
       "g7Bt2zb897//RWFhIUaPHg0XFxchNPn6+uKnn35CYmIiVCqVcB2TyYTMzEzU1NSA4ziIRCKbXlHL\\\n",
       "OSorK1FbW2s3EJrNZqSmpmL79u0YM2YMAgMDhd5E4Obw2osXL+KFF17AsWPHhBDMMAzy8vKQnp6O\\\n",
       "e+65ByzL4tixY8LiUsXFxaiqqoKXl5dQC7G0tBQnT57EuHHjGv1e7nbz5s0ThkzfLrezh/Czzz4D\\\n",
       "QPNACSF3BwqEhBDSTjAMAw8PDyiVSlRUVNiUfLCExuzsbFy5cgW9e/cGz/PIycnBH3/8AZVKZfMA\\\n",
       "qtPpcPbsWasC6s1pj1KpRK9evdChQwfk5eVBp9MJc+GasxBNQ/tZavPpdDqIRCJ4e3sjPDxcqFsI\\\n",
       "3Jz35+bmhu7du6Nnz57w9vZGcXExrly5gpqaGvTt2xedO3e26QVlWRYhISGYO3cu0tPTERgYaPNw\\\n",
       "Hxsbi7feekuoCWlhCYIhISFgGAalpaVCQGdZFjKZDB4eHkLPp6N7KykpwZo1a/DDDz8gICAA/v7+\\\n",
       "wvDbv/76C2lpaaiurrb6fiy9p1lZWSgpKYGbm5sw3FYmk8HX1xfAzUDJcRwuXLiAN954AydPnmzS\\\n",
       "90HuzBzC+sdRQCSEtAUKhIS0c9OnT8eTTz6Je++9t62bQm4zV1dXDB8+HAaDAbm5uQ4fHtVqNQ4c\\\n",
       "OIDExESIRCL88MMPuHr1qsNQ0tK6fiKRCDExMRgxYgR8fX1RXV0thCGpVAqz2SyUaWjONeo+iFvO\\\n",
       "5eLiAldXVyiVSkgkEnTp0kUYKtu3b19MmjQJAQEBcHd3B8uyMJlMKC8vx4kTJ3Dy5ElERkZCJpPZ\\\n",
       "fXBnGAZ+fn6IjY0VPo+6wZFlWTz99NPYu3cvUlJSYDabhTDcp08f3HfffaipqcGRI0eQlZUFo9GI\\\n",
       "gIAAJCQkQCwWY/fu3UJwtXdto9GI3Nxc5OTk2JQPaSwgWBalUavVQs1CmUyGsLAwSCQSmEwmqNVq\\\n",
       "HDp0COnp6VCr1U3+HpxdSwJhSkoKFi1aJGzv27cvJkyY0OCx7u7uws9HU3vWCSGkNVEgJKSdq66u\\\n",
       "RlJSEiIiIjBz5kxMnz4dISEhbd0s0sosoeX+++9HaWkpdu3a5XBfjuNw+vRp/Pe//xWCimUuYkuv\\\n",
       "Xf8h1dJbOWXKFIwYMULoEbxw4QJUKhVMJhPc3d3h6ekJnudRWlqKoqIi1NbWNlgyQiwWC719SqUS\\\n",
       "CoUCHh4eiImJQb9+/RAbGwuWZeHj44NevXohLi4OcXFxUCgUNnPlZDIZEhMTUVFRIazS2tB13dzc\\\n",
       "UFZWBr1eb7MYi4uLC9atW4d58+bhzJkzEIlESExMxIwZM9CrVy8oFApMmzYNZrNZGLIqkUig0WgQ\\\n",
       "EhKC119/HVqt1uYztAwPbagXsTGWRXhYloVIJIJOp0NhYSGqqqrg7u4Onufh7++PsLAwaLVam5VT\\\n",
       "iX0tCYSpqalITU21eq+x3u/65yCEkDuNAiEh7dz27dtRWlqKr7/+Gl9++SWWLFmCpKQkPPnkkxg7\\\n",
       "diytMvg3IpFI4OLiAhcXlwb343ketbW1SE1NhUqlslsUvaksvU71F4lhGAbBwcHo27evMDwxJiYG\\\n",
       "nTt3Rnl5ORiGQVxcHOLj4+Hj44OysjIcPHgQKSkpKC8vtxvORCIRXFxcEBkZibi4OISFhQklMYKD\\\n",
       "gxEREQEvLy+YzWYolUqwLIvIyEjI5XKbh2mGYSASiYRexdraWpv5hvaubylpoVQqrc7JMAz8/f0x\\\n",
       "efJkoWbjvffei+joaHh4eAjBzjJc1nKsRCLBwIEDoVQqbQKhRCKBh4cHOI675dqKlvmWlqGkV69e\\\n",
       "xfXr1+Hv7w+GYRAWFoaEhASYTCabwELsa0kgjI+Px4gRI4Ttffv2vS1tI4SQ1kSBkJC/AT8/Pzz/\\\n",
       "/PN4/vnncebMGXz++ed44okn4OrqiqlTp2LevHnCcDjSPvE8j6qqKly/fh2lpaWN1gu0hIL6QxCb\\\n",
       "imVZREdHY/To0dBqtdi3bx/y8/NhMpmEQvLLli1DQkICpFIpACAuLg6zZ89G3759IZfL0b17d/j7\\\n",
       "+wu/lJg1axYKCgqwfPly/PDDD0K5B0sQjIqKwn333YfRo0cjJiYGbm5uwgI1dUOWyWSC0WiESCSC\\\n",
       "XC53WLvPUg5DJpPhypUrKCsrg7+/v939LefOzc1FVVUVEhMTbYK3QqHA+PHjMXjwYGg0Gri6usLT\\\n",
       "01NYodVeeGBZFj179sTDDz+Mzz//HCaTCQzDwN3dHY8++ihGjRqFq1ev4tNPP8WNGzdaPHwXgDBn\\\n",
       "U6/X4/z583j33Xfx6quvok+fPujSpQteeeUVqNVqdO7cucXXIA0bMWIE3nvvvbZuBiGENAsFQkL+\\\n",
       "RgoLC7Fv3z7s27cPIpEIDzzwAM6fP48uXbpg5cqVeO6559q6ieQWlJeX4/PPP4dWq7XpbarvVoKF\\\n",
       "SCTC6NGjsWHDBnh5eYHneRQWFmLjxo3Yv38/PDw8MGfOHIwYMQIymUw4TiqVIjIyEkFBQcJctrrh\\\n",
       "SyQSITIyEmvXrsWbb76Jc+fOobS0FG5ubvD19YWfnx98fHzg7u4uBD17IUssFgvXbayQu0gkQnV1\\\n",
       "NdLS0hAaGoqOHTsKAbYuS6+qpZxEdXU17r//fsjlcmEfhmGgUCgQEhIi9OaJxWKH7bSQyWR45ZVX\\\n",
       "cOrUKVy7dg1BQUH44IMPMGLECGGu5bBhwzB58mRkZWXd0ndnuReDwYDU1FR8/PHH+OSTT4QSJKTp\\\n",
       "bueiMkqlUlhdNzIyEjk5OS1oISGEtA4KhIS0c0ajET///DM+//xz7N27Fz169MDChQsxefJkuLu7\\\n",
       "AwB++uknzJo1iwJhO2cwGHD+/HnwPN9o4feWsBSrHz58OL788kt4enoK74WHh+O1117D/PnzhfmD\\\n",
       "9gKGpbevIRKJBOHh4QgLCwPwf/OoLEGofo+gvXY250H96tWrOHfuHEpKSjB06FB06tTJZj+e55Gb\\\n",
       "m4vff/8deXl5OHPmDCoqKjBt2jSr0GkZimrZ1tS2hIeHY8OGDTh//jzuvfdeRERECAvXiEQi9OnT\\\n",
       "B/v378fcuXOxb98+6PX6Ww6GluGhBQUF6Ny5c6PhmVi7nYGwtrZWmHdbNwzSgjKEkLZAgZCQdi4o\\\n",
       "KAgcx2HSpEk4efIkevXqZbPPsGHDrB7uSftkKSvR2hQKBeLi4jB27Fg88sgjiI2NtRv2pFJpq9Z+\\\n",
       "q1s4Hmi8t68ljEYj9uzZg4KCAhQUFGDw4MHYuXMn4uPjrR7iOY5DWVkZampqUFtbi5qaGjz77LPw\\\n",
       "9PREcnKysEJp3VIajfUM1iUWi9GnTx/06dPH4UqnwcHB2L59O6qqqnDkyBEcPHgQmZmZyMjIQE5O\\\n",
       "DvR6fbPvX6PRoLi4mMJgC93OhV5uNfATQkhroUBISDu3atUqTJw40WpoW32enp7Izs6+g60i7YVI\\\n",
       "JELfvn3x0UcfIS4uzmaYZ3tnKT9hefguKyvD448/joMHDyI4ONgqlHbs2BF9+/bF/v37hdVQP//8\\\n",
       "c3h5eaFbt26Qy+XgOE6YR6lQKCCRSFq1F4lhGHh5eeGBBx7AiBEjoFKpcOnSJbz11ls4cuSIw4Vn\\\n",
       "HJUrYBgGPj4+TWofsXYn6hASQsjdgAIhIe3cE0880dZNILdRWFgYdDodVCoV9Hp9qw8pE4vFuP/+\\\n",
       "+9G5c2e7q3XWZbn27Xz4be4y/Jag5yjEWspJ1D1/Tk4OXnvtNaxZswaurq7CtcLDw/Hmm2+iV69e\\\n",
       "2Lt3L4qLi6HT6XD48GHodDp4e3tDp9OhoqICEokEMTExiIiIsJpH2VosQ2/lcjlcXV0xffp0pKam\\\n",
       "ora21mo/y/DdgIAAVFRUoKKiwio0enl5oWvXrjYlOdq71atXo7q6+rZegwIhIcRZUCAkhJC72Jkz\\\n",
       "Z6BWq7F//34sXrwYeXl5rfpAzzAMXF1dHa6SCQBmsxm1tbWorq6GUqmEh4cHxOL/+88Hx3HQ6/Wo\\\n",
       "qqoCx3HCypuWkMZxHNRqNVQqFVxdXeHq6moT4Hieh9lsFobESiSSBttkOW9xcTFUKhWCg4Mhl8ut\\\n",
       "2gUAcrkcjzzyCN59911h3iXHcdi/fz/Onz+PhIQEoZdPLpejU6dOiIiIwCOPPILMzEzk5ORAIpEI\\\n",
       "dRTLysqQk5ODqqoqBAcH47777kNiYiLc3NxuS88qy7KQy+Xo1asXPD09rUqIiEQiDB06FO+//z6C\\\n",
       "goKQm5uL5cuX448//oBer4eLiwsWLVqEoKCgVm+XM6BASAhxFhQICSHkLubr6wtfX19MmzYN3bp1\\\n",
       "Q1JSUqv2jPA8j+LiYodDEU0mE3bv3o033ngDxcXF6Ny5M1atWoVu3bpBJBIJK5C+/fbb2Lt3L8xm\\\n",
       "MxISEvDKK68gLi4OZrMZp06dwqpVq5CVlYWoqCi8+OKLGDhwIBQKBYCbgbOqqgp//fUXsrOz4evr\\\n",
       "i969eyMkJMQm4NVVU1ODjz76COfOncOECRNw7733olOnTjYrmy5YsADbt29Heno6OI4DwzDQ6XS4\\\n",
       "fPkyevToYbVSKMuyEIvF6NChAyIiIqBWq4U5hZYeQ4PBgOvXr+P8+fPYv38/oqKicP/99yMpKQlB\\\n",
       "QUF2h5HeSu8qy7Lw9vZGcHCw8F3J5XLMmTMHy5Ytg0KhAMMwCAgIwKZNm3Du3DlcunQJXbt2Re/e\\\n",
       "vWl1UUIIIQ2iQEgIIe0Ay7Lo3bs3HnvsMXz22Wet1kvIcRwuX74MjUYjBIu6Ll26hOnTp6OyshI8\\\n",
       "z6OkpATPP/88fvrpJ7i5ucFoNOLrr7/GV199JSx6UlBQgGPHjmHkyJFQKpXYs2cPcnNzYTKZcP36\\\n",
       "dVy5cgUzZ87Egw8+CDc3N1y7dg3ffvstDh06JPQiPvDAA1iyZIlQWL0+nueRlZWF3377DSUlJRCJ\\\n",
       "RJDJZIiJibHpqfP19cWnn36KyZMno6ioSOgNVKvVMBgMQjC1sPQMSaVSoXh8QEAAgoOD4efnB5PJ\\\n",
       "hNzcXGRnZ6OyshLnzp3DTz/9BKlUitDQUDz22GN49NFHERwcDLFYDJPJBK1WC4Zh4ObmJtQtbA4X\\\n",
       "FxcMHDgQ1dXVUCgUeOGFF/Doo49aldBgGAZKpRIDBgxA//79m9XDRWxRDyEhxFlQICSEkHZCJBJh\\\n",
       "2rRp2LhxY6uVnTCbzbhw4QLy8/NtFh8xm83417/+JYRB4GaAPH36NCoqKuDq6gqTyYTff/8dBoNB\\\n",
       "OI7jOJSUlOCnn36Ch4cHKioqYDKZwHGc0KP42Wef4dixYwgICEBWVhYuXLiA2tpacByHyspKbNmy\\\n",
       "BYMHD8Zjjz3mMBBmZ2cLc+rc3d3h4+PjsOh8YmIi5syZg7Vr10Kr1cLDwwMcx8FgMAgrhzpa/dMS\\\n",
       "DsVisVAf8caNG0hPT4derxe+C6PRiIyMDCxbtgzvvvsuXFxc4OnpCU9PT7i7uyM4OBiJiYkYPnw4\\\n",
       "OnToIAzVbQqFQoHJkydj5MiRiIuLQ3BwsMNjKQi2DgqEhBBnQYGQEELakcDAQKHXqTVwHIfc3Fyk\\\n",
       "pKSga9euVkM01Wo19u7da9MbqdfrodPphCGWNTU1NvtYiqNbeuPqLohjNptRXV2NzMxMVFZWorS0\\\n",
       "FDqdTgiMPM+jpqYGP/74IyZMmGC3kLxlmKmrqys8PT0xbtw4xMfHOwxJUqkUEydOxPnz55Geng4/\\\n",
       "Pz/wPA+NRiOsGtrYQ71lPl9kZCQGDBiA7du32y0dYKkTWVNTg5qaGuTl5UEikcDNzQ1//fUX9u7d\\\n",
       "i+7du+P+++9H37594enp2ei1pVIpunTpAolEArFYTAHkDqBASAhxFhQICSGkHWlJLbrGaLVabNy4\\\n",
       "EdOmTYOvry+Am6Hm5MmTqKystNmf53mhLp9YLHZYiF6pVGLYsGEwm804dOgQSkpKYDKZhOGdvr6+\\\n",
       "iIuLg5eXF6qqqmA0GoXQyPM88vLyoNPp7AZCjUYDrVaLDh06oHfv3khKSmqw1ibDMAgJCcH48eOF\\\n",
       "0hpyuRwajQZ6vV5YwKaxB3tLwO3QoUODpV7qspSqMBqNUKvVuHr1Kq5du4bDhw9jzJgxePrpp+Hn\\\n",
       "59fgtS3tberCNRzHwWw2C3MmLds4jnP4fRFrFAgJIc6CAiEhhLQTHMfh6tWrrV7Qmud5XLlyBV9/\\\n",
       "/TXmz58PsVgMtVqN1157ze5iMwzDCPPuWJa1W6yeZVkMHjwYb7zxBuRyOQ4dOoR169bh6tWrYBgG\\\n",
       "sbGxmDBhAu655x6YTCZs3rwZX3/9NaqqqsDzPMRiMSIiIoReQ8sDt6Xn8fr161CpVOjTpw8efvhh\\\n",
       "eHl5NTr8UiaToW/fvkLvYlBQEDiOg1arFY5tSu8bwzCQSCTCcNOmEIlE8PPzQ0REBAwGA8rKylBR\\\n",
       "UYHDhw9j8ODBGDRokN0FdHieF4JyU4aXWobcHjt2DEePHkV5eTkkEgmkUim0Wi1UKhW++eabJrXZ\\\n",
       "2VEgJIQ4CwqEhBDSDliGIebk5NyWOnImkwk7duzAY489Bk9PT1y6dAmZmZl297UMFbWw11PGsiwG\\\n",
       "DhyIoKAgiMViDBo0CDdu3MCePXtgMpmQmJiIfv36ITIyEizL4vHHH8fFixdx/PhxGAwGeHh4oFev\\\n",
       "XlYhiOd5cBwHlUqF69evw2AwICQkBP7+/k0a8mlZ1CU6OhpVVVVQKpUQi8UwGo3Q6/VgWRYsyzYa\\\n",
       "vHieR21tLTQaTYP71SWRSBAaGoqePXtCq9UiKysLFRUVkMlkQqkNR9eyDM+1t3ppXRzHoaysDJs3\\\n",
       "b8a3336L/Px8GI1GiEQisCwLk8nUakONCSGE/H1QICSEkLuYTqcTesVycnLszulrDTzP488//8Qj\\\n",
       "jzyCLl26YNeuXQ2Wt6jbhroLylhY6v+5uLiAYRiEhoZizpw5GDJkCKqrqxEbG4vQ0FBhOGhiYiK2\\\n",
       "bNmCY8eOISsrC507d0afPn0gl8uFXkKNRoOMjAykpKQgIyMDfn5+6NGjh8PFZOqzBMLOnTvDYDBY\\\n",
       "DeMsLS2FRCJBYGAgvLy8HJa74HkeKpUKW7duRVlZWZO+C4Zh4OXlhfHjx2PYsGFgGAa5ubnIzMyE\\\n",
       "XC5HVFSUw6BXVVWF/fv3w83NDYMHD7ZZEdVCp9Nh/fr1WL58OcrLy4XPjLQc9RASQpwFBUJCCLmL\\\n",
       "LViwQHjYrKqqQkZGxm0pgA7c7CU8ceIETp8+DZPJ5DBQMAwjLBJjNBpx9epVm31cXV0REBAgtJ1l\\\n",
       "WXh4eKBPnz4wm802i6OIRCJ4e3tj1KhR4DjOqsfPbDajvLwcmzZtwpYtW1BcXAxXV1eMHTsWUVFR\\\n",
       "ducYOmq3SCSCq6ur0OOqVquRl5eH3bt3IyMjAwEBAZgwYQJ69+4NFxcXsCwrLHRjMplQUFCA999/\\\n",
       "H99++y10Ol2Tr+vl5YU+ffogIiICEokEERER6NOnDziOg7u7u93vVKfT4bPPPsOGDRugUCiwdOlS\\\n",
       "jBkzxqYHU61WY/Lkydi5cyf1ALYiCoSEEGdBgZAQQu5iX3zxhRBkXFxcoFAooFAohDIOrc2y8EhD\\\n",
       "RCIRtFotzGYzSktLce3aNZt93NzcbAqiMwwDmUzWYJF2y7DNuniex9GjR7F69WoUFxeD53l4enoi\\\n",
       "KCioSSt01j1P3XNbyknk5OTgu+++w40bN8BxHL777jtMnDgRc+bMEeYxlpeXY+fOnVi9ejVycnKs\\\n",
       "AnPd6zsK0UajEXK5HDKZDGKxGFKpFHK5XGhT/Xswm8345ZdfsHLlSlRVVYFhGDzzzDMICQlBfHy8\\\n",
       "cB8ajQaTJk3Cb7/9dlt+HpwZBUJCiLO4Pb9mJoQQ0irMZjNMJhP0ej1UKhUkEgl69eqFwMDA29ZT\\\n",
       "2BgvLy+wLAutVouUlBSoVCq7+zh6SG5unTyz2YyffvoJRUVFwlBPg8GAjh07Ntg7aKkzqNPp7M7T\\\n",
       "swSx1NRU5OTkQKPRQKfTobi4GF999RW+/fZbaLVa1NbW4vjx4/jggw9w9epVq9VQWZaFq6srOnXq\\\n",
       "hO7du8Pb29umB4/neVRWVqKoqEhYIMcS8i2rm9YNkiaTCQcOHMC8efNQWVkprBhaUFCAGTNm4NKl\\\n",
       "S9BqtaioqMALL7yAnTt3Uhi8DSzfU1NfhBDSXlEPISGEtBMcx8Hb2xvz5s1DWVkZ3nrrLZSWljZ6\\\n",
       "nOWB1TL08VaIxWLMmDEDvr6+MBgMSElJsVmJlGEYhIeHt9ocNpPJhPT0dGE4pGXFzZiYGIcP4gaD\\\n",
       "AVeuXMGJEyegUCgwcOBAhISE2MwNNBgMOHnypFU5D8tCLnK5HG5ubuA4DqGhoTCbzVb3xDAMfHx8\\\n",
       "8Nprr+Hhhx+GRCLBoUOH8PLLLyMvL8+qhIZKpcKpU6cwaNAgYXEYyyI5JpNJKBFRXV2NLVu24N13\\\n",
       "37Up+cFxHDIyMjB9+nQ8+uijSE9Pxw8//GB3JVhy66iHkBDiLCgQEkJIO8HzPPz9/TFw4EBIpVJc\\\n",
       "vnwZn376qcPeIYlEgh49emDs2LHw9vbGpUuXkJKSguzs7AbrGdadN1d/+5gxY/DCCy/A1dUVWq3W\\\n",
       "7nnEYjF69uwJs9nscHGWuvf0/9q78/CoqrsP4N/ZJ5PZspEFEsIWMApGwhZAoRCllYIgivIiUOou\\\n",
       "aBW1lFb0tUipG1Itim0VnyJKxaIIVipEJOyBsIlglCWBELKSTCaZfe59/+CZ+zJLVkhCmO/neeap\\\n",
       "M3PuvedceOp8/Z17DtD4D+rACprvmbzo6OiQ7b1eL/Ly8vDss8/i1KlTMJlMmDNnDh544AG//vj2\\\n",
       "OiwoKAgaq9lsxvTp06HRaABcXPTm8ccfx6JFi1BfXw+ZTIaEhAQsXboUEyZMkNqNHz8e//3vf/Hh\\\n",
       "hx/6Pc/ndruxdetWTJgwAddddx1UKhU8Hg8qKiqwZ88e7NixA0ePHkVBQQEqKioaXHnU6/Xi8OHD\\\n",
       "OH36tFQ5bsyl23UQERGFwkBIRNRJ+FYbjYyMhE6nw8yZM7Fy5UrU1dUFtdVqtfjiiy8wduxYv6ml\\\n",
       "vurXvffei6+++iooeDQWzIYPH47Vq1dLK13qdDrceeed2LRpE+rr6wFc3Iz+rrvuwh133IHa2lrY\\\n",
       "7XaUlpZCpVKhZ8+eMBgMUn8EQYDT6YTdboder29w+qdGo8GECRNQUFAAp9MJtVqNrKyskGHT4/Hg\\\n",
       "66+/xuzZs6VVQKuqqvDOO+8gKysLGRkZUCqVEAQBp0+fxiOPPIKqqiq/c+j1euTm5iI1NdWvD888\\\n",
       "8wwef/xxWCwWyOVyGI3GoK0gFApFyIDu8XiQl5eHadOmITMzE0ajEUeOHMH333+P+vr6Fk359Hg8\\\n",
       "qK6uhkKhkMZy6fFyuRwqlQoRERHSc4q+8M5qYvOxQkhE4YKBkIioEykqKoLFYoFGo4HL5WrwOcKk\\\n",
       "pCQMGzYs6HvfpvIffvghFi5ciL/97W/S1hY+oaqDMpkMPXr08FsoRi6Xo3///hgwYAB+/PFHmM1m\\\n",
       "zJo1C/fddx/MZjMuXLiAd955B5988glcLhfGjRuHRYsWITExEXK5XNoUvqqqSgoxDS00c8stt2DV\\\n",
       "qlWoqKiATqeDwWBATU0NIiIioFAoIIoivF4vfvrpJyxcuFDaegGAtCjMzp07kZCQAK1WixMnTuBP\\\n",
       "f/oTDh486BemFAoFHnvsMfTu3TvkfdVoNOjSpUvI79xuNzZv3oyNGzcGBS9RFOF0OnHq1CkUFhYC\\\n",
       "gDRNtDVEUZQqsaNHj4bZbEZlZSWKi4tRWVkJq9UKt9sNj8cDh8MhVSRZKWw+BkIiChcMhEREnUh5\\\n",
       "eTn27NmDrKwsHD16NGTFx/cMn28aYygGgwGLFy+G2WzGW2+9hdraWmnvulChQRRFHDx4EHa7HQaD\\\n",
       "QfpMo9Fg8ODBSExMxIQJEzBx4kQYDAaIooiamhps2bIFxcXFEAQBH3/8MRQKBf785z/DbDZLK2w2\\\n",
       "teE6cLHyGB0dDYvFAplMhiNHjmDt2rUYNWoUYmNj4XA4UF5ejmXLluH48eNB98XlciE3NxcAUFVV\\\n",
       "hY0bN+LHH3/0C8NyuRy9e/fGM88806IFe3wb1b/++ut47bXXpGppqHZer/eKVem6dOmClStXok+f\\\n",
       "PtI0X6fTieLiYmzYsAEbN27E6dOnYbfboVAopHtIzcNASEThgoGQiKgTcTgc+Oijj+BwOLB169YG\\\n",
       "A6HJZGryXJGRkXj66aehUqnw7rvvoqqqCi6XK2jxFJ8ff/wRn376Kf7nf/4HSqUSDocDJ06cgMVi\\\n",
       "QWpqKoYPH+63p57JZJK2x/BNd/38888xefJkjBkzBiqVCjqdDmq1utFQ6PF4sG/fPpSUlMBms0EU\\\n",
       "RRw4cADHjx/H22+/jfj4eKhUKtTX1+PUqVMhn6vzeDw4fPgwTp48ifLyclRXV/utFurbtP63v/1t\\\n",
       "i0KTKIooLS3FlClTsHfv3nZb7VMmk+H2229HWlqa36qmOp0OPXr0wIgRI7B+/XrU1NRIW17Exsai\\\n",
       "V69e7dK/awEDIRGFCwZCIqJOxOv1Yt++fQCAwsLCkAHk0lVFm6LX6zF9+nQUFxdjy5YtKCsrg81m\\\n",
       "Cxk0XS4XnnnmGVitVowcORInTpzA+++/jxMnTuCGG26ARqPx+2Gs1+sxevRoHDt2TAqZvi0cRo8e\\\n",
       "LW270FgYFEURhw8fxhtvvIGKigq/ftntdlRXV6OwsFA6R0OBzOVyoaSkBDKZTFrV89IwqFQq0atX\\\n",
       "L4wcOTKoOugLtDKZLOg7q9WKu+66C3v27GnX6ZhyuRzTpk0L2uICuLiYUHJysrTojG9xH41Gg65d\\\n",
       "u7ZbH68FDHpEFA4YCImIOhHfnnZHjhyB2+1uMPzV1dXB7XY3Om0UuPiD12w246abbsLp06cBAKWl\\\n",
       "paivrw8ZcC5cuIAFCxagS5cucDgcsFgsUmDyrb7po1QqMX/+fGzatAmnTp2CIAjSQihKpbLJH9ui\\\n",
       "KOLYsWOYOnUqioqKGpzK6gt3vk3tA1dJFUVRCoGXHncpuVwOnU4ntVMqldK93rp1K3744Qf0798f\\\n",
       "I0eOhMlkgkwmg8vlwooVK5CXl9cmYdD3vKdcLofNZvMLu5GRkUhPT2/wWJPJBKPRKN0H3/OKDDhE\\\n",
       "RBSIgZCIqJNxu92oqqoKWR3yKSkpQV1dHfR6faPn8gW5kpISeL1emEwm2O12uFwuuFyukMfYbDYU\\\n",
       "FRVJQVQmk6G2tjbkVglJSUn473//izlz5uDgwYOIi4vDLbfc4rc4TUP92rlzJyZPnoyqqqomA5fv\\\n",
       "e41GA6/XG7RQzqVtgOCtLLxeLwoLC7Fhwwbce++9MBqNqKysxL333ovjx4/D4/FAq9Vi+PDhWLBg\\\n",
       "AXr16oXCwkJ88MEHbbZyp0KhQM+ePZGamopDhw7h/Pnz8Hq9kMvlGDRoUKPTgjUaDXr16oXc3Fwp\\\n",
       "DNbV1eH8+fNt0tdrEaeMElG4YCAkIupkBEGAw+GQqliB4UYQBJw9exY7duzAlClTGv2x6nK5sGnT\\\n",
       "Jnz++eeorKyEWq2WNmS3WCx+e+ld6tIKnEwmg06nC/nsnUwmQ2pqKj7++GPs2rULoigiMzOzyUVb\\\n",
       "vv/+e4wfPx61tbXNuSWQy+XQarVISUlBXV0dSkpKGpw+6pv6eekiOl6vF6WlpXj99dexceNGaLVa\\\n",
       "/PDDDzh37pw0To/Hg23btsHtdmPatGlSFbYt6XQ6ZGZmIioqCt988w2qq6thMpkwf/78Rvd4VCgU\\\n",
       "6NevH1QqlfSsZF1dHYqKitq0v9cSBkIiChcMhEREnYxvCmRj39fV1eH3v/89br75ZsTHxzfY7tCh\\\n",
       "Q1i8eLEUfFQqFaKiohAVFQW5XI6ampoGtyvw/WDWaDS49dZbG1yMRSaTwWg0YsyYMfB4PNI+hg1x\\\n",
       "u9145JFHmh0GAcBoNCItLQ0TJ07E8ePH8cUXX4QMa3K5HHq9HkqlElarVRqb755WVlZK+xIGrrjq\\\n",
       "a2OxWKDX69G3b1/cfffdePfdd1FdXR1UgfQF9Yaqm0218Xq9KCoqwpkzZxAfH4/BgwejrKwMN998\\\n",
       "M4YOHdpkCFEoFH57PjocDlRUVDR9MwkAAyERhQ8GQiKiTshX1WpsMZYTJ05g8uTJ2LJlC3Q6XVAb\\\n",
       "u92OhQsX4syZM9K0R0EQYLPZEB8fj/j4eBQVFaG8vDxoRU65XA6NRoOoqChkZWXhiSeeaHBjed8x\\\n",
       "SqUScrm8yR/PVVVV+P7775t7K6BQKDB8+HBMnToVo0aNQmFhIY4ePYojR474VQllMhn69euHRx55\\\n",
       "BKWlpfjb3/4WtCl9UwHOYDBg1qxZGDduHHQ6HTIyMvCLX/wCb731FvLz8+FyuWAwGBAVFSVNQ62q\\\n",
       "qvIL8L57odPpIJPJYLPZ/O7vpX25cOECvv32W/Tu3RsRERFITU1FZmZmk8+G2mw2bNmyBXa7XboH\\\n",
       "TqezwS0xKBgDIRGFCwZCIqJOyrdISEMBRhRF7NmzB5MnT8bnn38eVJk7ceIE8vLy/J6BEwQBXq8X\\\n",
       "kZGR6NmzJzQaDdxuN6qrq6UAqtPpkJ6ejvHjxyMrKwu9evVCly5dGv1R7KtQuVwuREZGNhgeRVHE\\\n",
       "vn37pAVzgItVPYPBAIPBAKvVKu2Z6BMREYGpU6di9OjRSEhIQHR0NB566CE888wzsNlsAC7+YO/d\\\n",
       "uze++uorJCQkoKamBtu2bcOuXbuada/lcjkSEhLwyiuvYMqUKdKKqhqNBiNHjsSwYcOkFT2Bi1Nx\\\n",
       "S0tLsW7dOvzzn/9ESUkJ3G435HI5IiIikJSUhLi4OFRWVuLMmTMNTj11u904e/YsqqqqEBERAbPZ\\\n",
       "DLPZjJEjRyIxMTHkPXc6nXjjjTfw3//+Fy6XSwq5LpeLgbAFGAiJKFwwEBIRdWLNWWxl8+bNyM7O\\\n",
       "xsaNG2E2m6WtFzZt2gS73e7X3le9ioqKQmJiIoCLq446nU4IgoCYmBhMmjQJDzzwAFJSUqBWq6Uf\\\n",
       "w6IoBq1k6fV6UV9fjyNHjmD9+vUoKSnBgAEDMHXqVCQnJ/utNioIAkpKSrBixQoAgFqtRnR0NGbM\\\n",
       "mIFp06bBYDBg//79eO6556RVS2UyGbRaLbp27Qq9Xg+FQoGIiAj8/Oc/x8qVK3Hw4EEIgoDY2Fhs\\\n",
       "3LgRycnJkMlkiImJwahRo7B79+4G76FCoYDRaERycjKmTZuGWbNmIT4+Puj5R5lMBpVK5bdQjiiK\\\n",
       "MJlMmDZtGuRyOb7++mtUVlYiIiIC3bt3R0pKCmw2W1C4DcXj8cBqtaKurg6VlZU4d+4cioqK8Prr\\\n",
       "r6NXr17Ss4RerxfFxcV44oknsGnTJr+Q6Zvu6gvI1DQGQiIKFwyERETXOFEUsWvXLlx33XVYvnw5\\\n",
       "Ro0ahaKiIqxfvz5oSqUvDCYlJSE6Oho2mw1msxn19fVQKpUYMWIEZsyYgZ49e0phUBAEeDwe1NfX\\\n",
       "w2q1orq6GmVlZTh+/Dhyc3Oxb98+VFRUwOVyQRAEfPLJJ3jppZeQnp6Oe++9F4MGDYIgCNi+fTs+\\\n",
       "/PBDnD17FoIgID4+Hi+99BLuvPNOaLVaAEBMTAx27NiBv//979IqqG63G4WFhejZsycMBoP0zOLt\\\n",
       "t9+O8vJyKJVKvPrqq+jdu7df1XHEiBFQKBRBgUwulyM1NRXz58/H1KlTERkZ2axtMi7lu5eJiYmY\\\n",
       "MGECevXqhQsXLkClUiEiIgJ1dXXIz8+HxWIJOV001J+hr01dXR2++uor5ObmIj09Hf3794fb7cah\\\n",
       "Q4dw4sQJ2O32BrfocDqd10R4eeyxxxAXF9fR3SAiuiYwEBIRhYmysjLcc889iIuLg8FgQGlpqbRK\\\n",
       "qUwmg0KhgMlkQt++fZGWloYuXbpAEAQkJSXB7XZDr9djwIAB6NKli7TlhSAIcLlcKCwsxLp167B+\\\n",
       "/XqcPn0aVqtVCjqB4cRXNdy3bx/279/vt/CJr61cLofZbMaoUaOkvfhEUYRSqYRarfY7r91ux7p1\\\n",
       "6+DxeDBhwgRERESgqqoKWq0WGRkZGDx4MLKzs4Mqe926dUNcXJzffYiKisIf/vAHPPTQQ9Izfq0l\\\n",
       "k8mgVqvRtWtXGI1GuFwuuN1u1NTU4PDhwzhz5gwuXLjQqm0rfAsH5eXlIS8vr0XHUfOwQkhE4YKB\\\n",
       "kIgojPi2VygrKwMAvzAYERGBxMREXHfddejduzdiYmJgNpul6Y86nQ7du3eXppz69rbLzc3FK6+8\\\n",
       "giNHjsDhcDQ5BfJSvsVxAgmCID236Gvn+2zv3r1+i7R4PB7s3bsXxcXF+OmnnxAVFYUTJ07g+PHj\\\n",
       "AACtVhv0g93j8cDpdGLEiBE4evQoTCYT7r77bsycORMxMTFX7Ae+b3N5tVoNQRBgt9tRX1+P4uJi\\\n",
       "nDx5EjabjSHtKsVASEThgoGQiKgTuvS5vdbwHeerjPmmffqmfCoUCsTFxSExMRFdu3ZFWVkZPB4P\\\n",
       "4uPjIQgCrFYrysvLsWrVKqxcuRJVVVUtCoLNUV5ejs8++wy//vWvodFoUF1djRUrVuDQoUN+1/IF\\\n",
       "xdraWpw8eVJ6Xk4QBCiVStTU1CApKQm33nortFotampqkJ+fj7y8PPTs2RP33nsvRo4ciZiYGKny\\\n",
       "ebl8Qde3lYdKpZKqmm63GwUFBaioqGizTe3p8jEQElG4YCAkIupklEolDAYDFAoF6urq/FaSbA1f\\\n",
       "eLHb7SguLkZOTg569+6N9PR0xMXFISEhAb1794bb7YbX65VWvvzggw+watUq1NbWtkmVy+l0YtGi\\\n",
       "Rdi5cycSExOxb98+HD16NOTCKIIgQBCEoNU6PR4PfvzxR9x///0wm80ALj6D59sPcfjw4Zg1a9YV\\\n",
       "DYO+SqDD4YBarYZGo4FCoYAoilAoFKisrMQPP/wAh8Nxxe+br9p76ZReXzBlJbJlGAiJKFwwEBIR\\\n",
       "dSIymQyRkZFIS0uDVqvF+fPnUVVVBZfLJYUBl8sFh8PR4uqTr3pVXFyMzz77DHfeeacUZnzf+6aJ\\\n",
       "lpSUYPPmzbBarW0aNGpqavD5559L12/NtURRhN1uD1pR1eFwYNeuXSgqKkJaWtqV6C7cbjcOHjyI\\\n",
       "DRs2QKfT4ec//znS0tKke+j1enHw4EGcO3fuilcHDQYDJk2ahFmzZknPfRYWFiI3Nxc7d+7E2bNn\\\n",
       "YbPZUF1dfUWve61iICSicMFASETUifj2HaypqYFer4der4fJZEJMTAzS0tIQFRWF7777Dlu3bkVN\\\n",
       "TU2rApTX68Xx48dRWVmJPn36SD92fRvS+xZ5sVgs7VJ1utJTUX189/HNN9/EyJEjodfrQ7Zp7o99\\\n",
       "URSxc+dOzJo1C2VlZVCpVNi8eTNefvllpKenQ6FQoKysDJs2bUJ9ff0Vu3cymQwpKSlYt24dbrzx\\\n",
       "Rr9KZ//+/XH77bfDZrOhvLwcZ8+exZgxY67IdYmI6NrAQEhE1IkIgoD6+noUFhZCpVJBr9cjLS0N\\\n",
       "t99+O372s59Br9fju+++ww8//ICamppWX8dut6O0tDRkGFKpVEhJSYHRaER5eblfsPFVKeVyObxe\\\n",
       "71X/jJwgCNi6dSvWrFmDGTNmSCuYOp1OVFZWQqVSITo6Gmq1uslzuVwuvP766yguLoYgCHA6ncjN\\\n",
       "zcUDDzyARYsWoUePHvjqq69QUFDQqpAbWLHy7X+YkZGBVatWoVevXkF/Xr7tL4xGIwwGA3r27Nni\\\n",
       "64YrVgiJKFwwEBIRdTK+oOVyueB0OlFcXCztHajVapGeno7Y2FipmtgagiDgxx9/DPmdTCZDfHw8\\\n",
       "hg0bhpKSEmkqplKpRHR0NHr27AmVSoUff/wR5eXlfiuCXo0cDgeeffZZFBYWYtSoUTh58iTWrFmD\\\n",
       "U6dOYejQoVi8eDF69erV5DOGgiCgrKzM7557vV4cPXoUc+bMQVZWFk6dOhU0dbU5lEolunXrhkmT\\\n",
       "JmHw4MHSM6Tx8fHo06ePtP9iY1oScIiBkIjCBwMhEVEn5Xvm79y5c9i9ezduu+02yOVyaLVavz39\\\n",
       "QmkqLIqiiC1btuCpp56SNoW/9Du1Wo3Ro0fjxIkTOHPmDJRKJXr27IlbbrkF/fr1g9VqxaZNm/Dt\\\n",
       "t9+ipqamyf60tH9XWk1NDV5++WUsXbpUWjxHFEVcuHABN998Mx5++GHI5fJGf/irVCoMGzYM+fn5\\\n",
       "fn0XBAElJSXIycmBUqls1biMRiNWrlyJkSNHQqnkv7rbAwMhEYUL/luFiOgq1pztJZxOJz755BMM\\\n",
       "GzYMN998M44fP45Tp041eoxCoZBW5mzI3r17sXLlSkybNk3apN3r9cLpdKK8vBwajQaZmZno0aMH\\\n",
       "EhISMGjQIFx33XWIjIyExWJBXV0dysrKUFBQIFXFNBoNtFotPB4Pamtrg1balMlk0Gg0UKvVsNls\\\n",
       "7Vpd9Hg8Qdez2WzYsGEDpk+fDrPZDJlMBrfbDYfDAZVKBa1WK214r1Ao8Oijj2LVqlVB03V9U31N\\\n",
       "JhNUKlWLx5WUlITBgwdfkTB4Law2umzZMlgslja9BgMhEYULBkIiCsntduO5557Df/7zH5w6dQom\\\n",
       "kwnZ2dn485//jKSkpEaPXb58OV599VWUlpbixhtvxFtvvYUhQ4ZI3zscDjz99NNYs2YNnE4nxo0b\\\n",
       "h7fffhvx8fFtPaxO58knn8TJkyexa9cuVFVVNfhjvqqqCr/5zW/Qv39/nDt3Ttp4viHNqdjV19fj\\\n",
       "qaeewpIlS9ClSxeYTCaYTCYYDAZpo3UASElJwcCBA5GRkYHY2Fhp6qhKpYJOp8Phw4fhcDiQnJyM\\\n",
       "m266CSkpKfB6vfj222+xbNkynD9/XjqXXC5HfHw8brjhBpw4cQInTpzo0OcQRVHE999/j6KiIuh0\\\n",
       "Oni9XhQVFWH37t2Ijo7GqFGjEBUVJVUPe/fujYceegivvfZaUNgWRRGxsbHQ6/UoKipq9rhkMhmM\\\n",
       "RiNUKlVbDJEawEBIROGCgZCIQrLZbDhw4AAWLlyIG2+8EdXV1fjNb36DiRMnYv/+/Q0e969//Qvz\\\n",
       "5s3DihUrMHToUCxbtgzjxo1DQUEBunTpAgB46qmn8OWXX2Lt2rUwmUyYO3cu7rzzTuzcubO9htdp\\\n",
       "+IJFYWEh7r77bhw+fDhkkBNFEdXV1di+fbv0vjHNXdTE6XTi7NmzOHv2LID/XzRGrVZDr9cjNjYW\\\n",
       "GRkZGD58OKKjo6HX6yGXy6HT6aDX69GtWzdkZ2dDFEWYTCbo9Xop2KSlpeHChQtYunQpnE6n1G9B\\\n",
       "EJCZmYmsrCy89957KCwsDDme5k4rlcvll7VSaXV1NXJzc5GYmAiv14tjx44hNzcXWq0W3bp1w003\\\n",
       "3SRVCVUqFZ5++ml89NFHKC4uDupH3759odPpUFFRAavV2uw+VFVVob6+vlmL2zTEtychgyUREV1K\\\n",
       "3tEdIKKrk8lkwubNmzF16lT07dsXw4YNw1//+lfk5+fjzJkzDR63dOlSPPjgg5g9ezbS09OxYsUK\\\n",
       "6HQ6vP/++wAAi8WC9957D0uXLsWYMWOQmZmJlStXYteuXdizZ097Da/TkMvlUCqV6N69Ox599NEm\\\n",
       "f8y39QbkoijC4/HA4XDAYrGgvLwcxcXFsNvtUCqVkMvl0kupVEKv1yMuLg6xsbGIjIyESqWSvo+I\\\n",
       "iMD1118vhSnf+W02GxQKBdLS0tC/f/+Q0yR9q2f6ztcQX5Xncio4Ho8HP/30E+rq6uByuQBA+nOw\\\n",
       "2+1BYdNoNOL6668Pea7IyEjExsY2+ucYqq/V1dUoKSlp9T6MNpsNBQUF+Prrr1t8fLi69O9Oc15E\\\n",
       "RJ0VAyERNZvFYoFMJoPZbA75vcvlQn5+PrKzs6XP5HI5srOzsXv3bgBAfn4+3G63X5t+/fohJSVF\\\n",
       "akPBVCoVZs+ejccee6zJ1S7bg29bherqanz33XfIz88HAL9wJpfLpWmjERERUnjz/YBWKpXIyMgI\\\n",
       "CoS1tbU4e/Ys+vbti6effhqZmZl+Y1YoFOjevTvmzJmDxYsXY/z48dDr9SHvy5UIyF6vF9u3b0dx\\\n",
       "cTEUCgX69OmD2267DTfffDNiYmKCrqFWqzFnzpygIOv1enHmzBkUFxc3+gxh4N6HoiiiqqoKs2fP\\\n",
       "xpkzZ1o0Hq/Xi88++wy9e/fGgAEDMGHChBaMPLwxEBJRuGAgJKJmcTgcmD9/PqZNmwaj0RiyTWVl\\\n",
       "Jbxeb9CzgPHx8SgtLQUAlJaWQq1WB4XKS9uE4nQ6UVtb6/cKNyqVCq+//jreffdd6HS6ju4OgIuB\\\n",
       "o6amBu+88w7y8vKCwopvIZqKigqcP38eTqdTauPbUD3w74Lb7caOHTtgMBgwePBgrFq1CiNHjoRG\\\n",
       "o4FSqURsbCyWLFmCJUuW4JlnnsHnn3+Oc+fO4ZtvvoHBYAjqY0tXOA0kiiIKCgqwbt06KJVKpKWl\\\n",
       "YeLEiZg8eTJSU1Mhl8uDQmFycnLQ6qy+cX3++edN/v0N7K/X68W+ffvQp08fTJkyBZWVlU2Oqba2\\\n",
       "FqNHj8Zdd92F8+fPw+PxXBMLyrQnhkEiCgcMhEQEAFi9ejX0er308j2LBlz8ITt16lSIooh33nmn\\\n",
       "Q/q3ZMkSaVETk8mE5OTkDulHR5PL5bjnnnvw+OOPIyYmBkqlssN/kIqiCKvVit/97new2WxB350/\\\n",
       "fx6LFy/GY489hs8++wwOh0P6XqPRIC0tLeiclZWVEAQBSqUSXbp0Qf/+/aUKoNfrlRZZkclkkMvl\\\n",
       "MBqNGDFiBO6+++42uR8ulwtffPEFioqKpA3hNRoN5HI5HA4H6urqYLfbYbfbUV1djQ0bNkjTSy/l\\\n",
       "e46vtdxuN7788ks899xz0n+A8YVR30sQBNhsNrz33nshQzo1T3tWCBkuiagjcVEZIgIATJw4EUOH\\\n",
       "DpXed+3aFcD/h8GioiJ88803DVYHASA2NhYKhSJohcuysjIkJCQAABISEuByuVBTU+NXGbq0TSgL\\\n",
       "FizAvHnzpPe1tbX4xz/+0aIxXiu0Wi2eeOIJDBw4EDk5Odi/fz9Onz4Nq9XaYZvAi6KIQ4cO4d13\\\n",
       "38WTTz4pTQN1u934xz/+gX/+859wOp3Yvn07qqqq8NBDD0mB7pZbbsG2bdv8nsWz2Wyorq5GcnIy\\\n",
       "BEFAeXk5XC4XvF4vrFYrCgsLg348KxQKPPHEE/jnP/8ZdB+USiU0Gg3cbjfcbnerQtK5c+ewaNEi\\\n",
       "/OUvf0FSUhIEQUBpaSn27t2L/fv3o6qqCl6vF2VlZTh8+DDcbncr7mTTPB4Ptm/fjh07dmDo0KHS\\\n",
       "vpO+sdXV1WHHjh34y1/+0mZ9CAfttcqoXq9v9bFERFcCAyERAQAMBkPQdDtfGPzpp5+wdetWxMTE\\\n",
       "NHoOtVqNzMxM5OTkYNKkSQAuVkRycnIwd+5cAEBmZiZUKhVycnIwZcoUAEBBQQHOnDmDrKysBs+t\\\n",
       "0Wig0WguY4Sd06XBxlf9EUURUVFR+OUvf4lf/OIXqKqqwvr167Fs2TKcPXu2w7Zp8Hq9ePHFFzFu\\\n",
       "3Dhcd911AC4uhvLvf/8bNpsNoijCYrHg97//Pbp3747bbrsNoiiib9++UCqVfhU1t9uN/fv3o2fP\\\n",
       "niguLsaePXukapjb7caePXvw8MMPB/WhT58+MJvNqKyslD5TKpUYPXo0Hn30UQiCgPfffx9bt271\\\n",
       "q1Q2d3xbtmzBtGnTMH78eDidTuTk5Ej7LIbaZqK1GlpBVSaTQafToVevXtLqp0ePHsXu3btRXFwM\\\n",
       "p9MJQRBgt9thsVhYHbwM7REIFy9ejPr6+steCZeI6HIwEBJRSG63G3fddRcOHDiAjRs3wuv1Ss/4\\\n",
       "RUdHS8vfjx07FpMnT5YC37x58zBr1iwMGjQIQ4YMwbJly1BfX4/Zs2cDuLh66f3334958+YhOjoa\\\n",
       "RqMRjz/+OLKysjBs2LCOGexV7NZbb5UWGTGbzRg4cCB++ctfom/fvtBqtVJAmDZtGg4fPozVq1c3\\\n",
       "KxAGTlFr6XN2oZ6bAwCr1Yq5c+dizZo1MBqNKC4uDnrezWq14uGHH8bKlSuRnp4Ol8sFrVbrFwi9\\\n",
       "Xi8+/fRTJCUlYcuWLSgtLZXOIQgCDh8+DK/XG7SQTEREBKZPn46//vWv0vejRo3CRx99hJiYGMhk\\\n",
       "MkycOBG7d+/GrFmzWrxIi8fjwcGDB3HkyBG/gN5avvt/6XOVl/6v7zvfNFXfarNjx46FIAj497//\\\n",
       "jb///e/SFNvA81L7ysnJwfz586X3Q4YMkf7DVyjPPfccgIt/3/lnRkQdhYGQiEI6d+4cvvjiCwBA\\\n",
       "RkaG33dbt27F6NGjAQAnT570q8bcc889qKiowPPPP4/S0lJkZGRg06ZNfgvNvPHGG5DL5ZgyZYrf\\\n",
       "xvQUbNu2bX7vv/rqK+Tl5eG9995DRESEtC+gyWRCRkYG1qxZ0+j5fFs+aDQa6PV6GAwG2O12VFRU\\\n",
       "hHzmLZBvk/SEhASUlZUFVaFEUUReXh62bNmCMWPGBAUVn9LSUjz66KOYNWsWysvLpWchfecSRRGH\\\n",
       "Dx/GG2+8gZMnTwZNfayoqIDb7Q7al08mk2HhwoU4evQojh07hmHDhmHFihWIi4uT2qjVatxyyy34\\\n",
       "6quvMHbsWJw/fz7oHkVERMDr9YasIvq23rgcMpkMGo0GBoNBeg7RNyU2MGTK5XKYTCbMnDkTv/3t\\\n",
       "bxEXFycdo9VqUV1dHbI66Qv8rBK2TmsqhPn5+dKKuz4N3X/fMR9++OFl9JKI6PIxEBJRSKmpqc36\\\n",
       "IVlYWBj02dy5c6WKYSharRbLly/H8uXLL6eLYSHwz8DpdCI3NxeFhYV+IUehUCAxMbHRPfmAi9Mn\\\n",
       "jUYjUlNT0a9fP/Tu3RsXLlzA+vXrcfbs2UanrclkMiQkJODll1/GwIED8cUXX2DRokWw2+1Bffz6\\\n",
       "66+RkZEBr9cbch9BURRRVFSEFStWwGw2hwxYVqsV3333XdBCNcDFSp3L5UJkZGTQd9HR0Vi3bh1q\\\n",
       "amoQGxsbckVWmUyGtLQ0PProo3jxxRf9qqparRZDhgyB1+vFjh072mQqn0ajwcCBAzFy5EjIZDIU\\\n",
       "FBTg+++/R2lpKRwOhxQKZTIZtFotpk6dihdffNHvGd6IiAgMGDCg0cChVCrh8Xg4HbEVWhMIMzMz\\\n",
       "MXbsWOnzIUOGhGyfmZkJAIiKisL06dMvs6dERJeHgZCIqJOx2Wz47rvvMGjQIL8phr5qU0NkMhnU\\\n",
       "ajUSExMxYMAADBw4EOnp6fB4PCgrK8P58+cbrRJGRETgtddew1133QWlUomEhAR89NFHOHr0qF87\\\n",
       "QRBQWFgIm80GtVrd4BYZgiCgsrISdXV18Hg8QdUsr9cLm80WcgpsYGUwcJxGo7HRBZCAiyH6F7/4\\\n",
       "BZYsWSKFWt99/OUvfwmTyYS8vLwWP2vYFJlMhpiYGIwdOxbDhw+Hx+NBREQESkpKUFZWJoVBXyCM\\\n",
       "iIjAvffeG/SMr0wmQ9++fRsMLb7Kot1uR319PSuFLdSaQDh27Fi8/PLLTbY/cOAAgIvP2AZeQyaT\\\n",
       "4YcffkDfvn1b2GMiotbhthNERJ2MIAhBz775piA29QNWpVJBr9cjNjYWMTExiI6ORlJSEm644YYm\\\n",
       "Q1ZycjJuvfVWaYN5k8mEAQMGhLymzWaDIAjQaDRB+/Fdyuv1wul0hgx9vmf0An+Yy2QyREZGNlkN\\\n",
       "bY7Y2Nigcet0OvTs2RP9+vVrtO+tJZfLYTabkZSUBKPRCJ1OB7VaLW1JcemzmaIoQq1Wo2vXriHv\\\n",
       "s8lkavA+KBQKJCUlITo6ms+ntUJbbjuxcOFCxMTE+L18YmJiGAaJqF2xQkhEdBVrblVHLpfjZz/7\\\n",
       "GSwWS6uuc/3110sLXDSXUqnE6tWrsXr16kbbHTt2rFV9ag+pqamoqalp8Pvq6up26ceYMWOwYMGC\\\n",
       "Fh8XHx9/xSuYdFFbrjL6xz/+EX/84x9DnuPSZ7KJiNoDK4RERERERERhihVCIiIiogDttTG9D5/x\\\n",
       "JKKOwkBIREREFKC9AyERUUdhICQiIiIKwEBIROGCgZCIiIgoAAMhEYULBkIiIiKiAAyERBQuuMoo\\\n",
       "ERERERFRmGKFkIiIiCgAK4REFC4YCImIiIgCMBASUbhgICQiIiIKwEBIROGCgZCIiIgoAAMhEYUL\\\n",
       "BkIiIiKiEBj0iCgccJVRIiIiIiKiMMUKIREREVEAThklonDBQEhEREQUgIGQiMIFAyERERFRAAZC\\\n",
       "IgoXDIREREREARgIiShcMBASERERBWAgJKJwwUBIREREFICBkIjCBbedICIiIiIiClOsEBIREREF\\\n",
       "YIWQiMIFAyERERFRAAZCIgoXDIREREREARgIiShcMBASERERBWAgJKJwwUBIREREFICBkIjCBVcZ\\\n",
       "JSIiIiIiClOsEBIREREFYIWQiMIFAyERERFRAAZCIgoXDIREREREARgIiShcMBASERERBWAgJKJw\\\n",
       "wUBIREREFICBkIjCBVcZJSIiIiIiClOsEBIREREFYIWQiMIFAyERERFRCAx6RBQOGAiJiIiIArBC\\\n",
       "SEThgoGQiIiIKAADIRGFCwZCIiIiogAMhEQULhgIiYiIiAIwEBJRuOC2E0RERERERGGKFUIiIiKi\\\n",
       "AKwQElG4YCAkIiIiCsBASEThgoGQiIiIKAADIRGFCwZCIiIiogAMhEQULhgIiYiIiAIwEBJRuOAq\\\n",
       "o0RERERERGGKgZCIiIgogK9C2NzX5Z67W7dubTQSIqLGMRASERERBWjLQOgTFxcHs9kMADh37hxe\\\n",
       "e+21KzgCIqLmYSAkIiIiCtCWgVAURYiiiPLyclRXV+OOO+4AACxYsKAthkJE1CguKkNE1zSLxYJl\\\n",
       "y5Z1dDeI6AqyWCxtfo3WLCqTk5OD+fPnS58PGTIEU6ZMafL4w4cPAwBMJlMrekpEdHkYCInomtce\\\n",
       "Px6J6NrSmkCYn5+P/Px8v+9EUWz02JKSEhQWFgIAKisrW95RIqLLxEBIREREdAVkZmZi7Nix0vsh\\\n",
       "Q4Y0eUzXrl0BAIMHD26zfhERNYaBkIiIiChAayqEY8eOxcsvv9yiawBAv379kJeX1/JOEhFdAVxU\\\n",
       "hoia5ZFHHoFMJmvW83jLly9HamoqtFothg4dGvRDx+FwYM6cOYiJiYFer8eUKVNQVlbWRj0nImq5\\\n",
       "tlxUxmq1SsckJyfj+PHjbTEEIqJmYSAkoiZ99tln2LNnD5KSkpps+69//Qvz5s3DCy+8gAMHDuDG\\\n",
       "G2/EuHHjUF5eLrV56qmnsGHDBqxduxbbtm1DSUkJ7rzzzrYcAhFRi7RlIDQajQAApVKJtLQ0ZGdn\\\n",
       "Izs7G//4xz/aYihERI1iICSiRp07dw6PP/44Vq9eDZVK1WT7pUuX4sEHH8Ts2bORnp6OFStWQKfT\\\n",
       "4f333wdwcYGX9957D0uXLsWYMWOQmZmJlStXYteuXdizZ09bD4eIqNnacg9CAPB4PMjJyZFeDz74\\\n",
       "4BXsPRFR8zAQElGDBEHAjBkz8Oyzz+L6669vsr3L5UJ+fj6ys7Olz+RyObKzs7F7924AF1fhc7vd\\\n",
       "fm369euHlJQUqQ0RUUdrj30IQ72IiNobF5Uhoga9/PLLUCqVeOKJJ5rVvrKyEl6vF/Hx8X6fx8fH\\\n",
       "44cffgAAlJaWQq1Ww2w2B7UpLS1t8NxOpxNOp1N6X1tb28xREBEREVFDWCEkIgDA6tWrodfrpde2\\\n",
       "bdvwl7/8BR988MFlTYm6UpYsWQKTySS9kpOTO7pLRHQNa8sKIRHR1YSBkIgAABMnTsShQ4ek165d\\\n",
       "u1BeXo6UlBQolUoolUoUFRXh6aefRmpqashzxMbGQqFQBK0YWlZWhoSEBABAQkICXC4XampqGmwT\\\n",
       "yoIFC2CxWKTX2bNnL2u8RESNYSAkonDBKaNEBAAwGAwwGAzS+4ceeggTJkzwazNu3DjMmDEDs2fP\\\n",
       "DnkOtVqNzMxM5OTkYNKkSQAuPoeYk5ODuXPnAri4cbNKpUJOTg6mTJkCACgoKMCZM2eQlZXVYP80\\\n",
       "Gg00Gs3lDJGIqNlasw8hEVFnxEBIRCHFxMQgJibG7zOVSoWEhAT07dtX+mzs2LGYPHmyFPjmzZuH\\\n",
       "WbNmYdCgQRgyZAiWLVuG+vp6KUSaTCbcf//9mDdvHqKjo2E0GvH4448jKysLw4YNa78BEhE1goGQ\\\n",
       "iMIFAyERXZaTJ0+isrJSen/PPfegoqICzz//PEpLS5GRkYFNmzb5LTTzxhtvQC6XY8qUKXA6nRg3\\\n",
       "bhzefvvtjug+EVFIDIREFC4YCImo2QoLC5v12dy5c6WKYSharRbLly/H8uXLr2DviIiuHAZCIgoX\\\n",
       "XFSGiIiIiIgoTLFCSERERBSAFUIiChcMhEREREQBGAiJKFwwEBIREREFYCAkonDBQEhEREQUgIGQ\\\n",
       "iMIFAyERERFRAAZCIgoXXGWUiIiIiIgoTLFCSERERBSAFUIiChcMhEREREQBGAiJKFwwEBIREREF\\\n",
       "YCAkonDBQEhEREQUgIGQiMIFAyERERFRAAZCIgoXXGWUiIiIiIgoTLFCSESdkiiKHd0FIrrKXc7/\\\n",
       "T1it1mZX/qxWa6uvQ0TU0RgIiahTslqtePHFFzu6G0R0FbNarTCZTC06ZsCAAQCA5OTkFl/PdywR\\\n",
       "UWciE/mf2YmoExIEASUlJTAYDGH9/E5tbS2Sk5Nx9uxZGI3Gju5Oh+F9uIj34SJRFGG1WpGUlAS5\\\n",
       "vOVPx6xevRpHjhxp0TEDBgzA9OnTW3wtIqKOxkBIRNSJ1dbWwmQywWKxhHUA4H24iPeBiIhaiovK\\\n",
       "EBERERERhSkGQiIiIiIiojDFQEhE1IlpNBq88MIL0Gg0Hd2VDsX7cBHvAxERtRSfISQiIiIiIgpT\\\n",
       "rBASERERERGFKQZCIiIiIiKiMMVASEREREREFKYYCImIriJutxvz589H//79ERkZiaSkJMycORMl\\\n",
       "JSVNHrt8+XKkpqZCq9Vi6NChyMvL8/ve4XBgzpw5iImJgV6vx5QpU1BWVtZWQ7ksTY0l0Nq1a9Gv\\\n",
       "Xz9otVr0798f//nPf/y+F0URzz//PBITExEREYHs7Gz89NNPbTmEy7ZkyRIMHjwYBoMBXbp0waRJ\\\n",
       "k1BQUNDkcdfivSAiorbDQEhEdBWx2Ww4cOAAFi5ciAMHDmDdunUoKCjAxIkTGz3uX//6F+bNm4cX\\\n",
       "XngBBw4cwI033ohx48ahvLxcavPUU09hw4YNWLt2LbZt24aSkhLceeedbT2kFmvOWC61a9cuTJs2\\\n",
       "Dffffz8OHjyISZMmYdKkSTh69KjU5pVXXsGbb76JFStWYO/evYiMjMS4cePgcDjaa1gttm3bNsyZ\\\n",
       "Mwd79uzB5s2b4Xa7cdttt6G+vr7BY67Ve0FERG1IJCKiq1peXp4IQCwqKmqwzZAhQ8Q5c+ZI771e\\\n",
       "r5iUlCQuWbJEFEVRrKmpEVUqlbh27VqpzfHjx0UA4u7du9uu863Q1FgCTZ06VRw/frzfZ0OHDhUf\\\n",
       "fvhhURRFURAEMSEhQXz11Vel72tqakSNRiN+/PHHbTCCtlFeXi4CELdt29Zgm3C5F0REdOWwQkhE\\\n",
       "dJWzWCyQyWQwm80hv3e5XMjPz0d2drb0mVwuR3Z2Nnbv3g0AyM/Ph9vt9mvTr18/pKSkSG2uBs0Z\\\n",
       "S6Ddu3f7tQeAcePGSe1Pnz6N0tJSvzYmkwlDhw69qsbeFIvFAgCIjo5usE243AsiIrpyGAiJiK5i\\\n",
       "DocD8+fPx7Rp02A0GkO2qayshNfrRXx8vN/n8fHxKC0tBQCUlpZCrVYHhcpL21wNmjOWQKWlpU2O\\\n",
       "3fdZc895tREEAU8++SRGjBiBG264ocF24XAviIjoymIgJCLqQKtXr4Zer5de27dvl75zu92YOnUq\\\n",
       "RFHEO++804G9pI42Z84cHD16FGvWrOnorhAR0TVG2dEdICIKZxMnTsTQoUOl9127dgXw/2GwqKgI\\\n",
       "33zzTYPVQQCIjY2FQqEIWjG0rKwMCQkJAICEhAS4XC7U1NT4VQkvbXM1aM5YAiUkJDQ5dt9niYmJ\\\n",
       "fm0yMjKuYO/bxty5c7Fx40bk5uaiW7dujba91u8FERFdeawQEhF1IIPBgN69e0uviIgIKQz+9NNP\\\n",
       "2LJlC2JiYho9h1qtRmZmJnJycqTPBEFATk4OsrKyAACZmZlQqVR+bQoKCnDmzBmpzdWgOWMJlJWV\\\n",
       "5dceADZv3iy179GjBxISEvza1NbWYu/evVfV2AOJooi5c+fis88+wzfffIMePXo0ecy1ei+IiKgN\\\n",
       "dfSqNkRE9P9cLpc4ceJEsVu3buKhQ4fE8+fPSy+n0ym1GzNmjPjWW29J79esWSNqNBrxgw8+EI8d\\\n",
       "OyY+9NBDotlsFktLS6U2jzzyiJiSkiJ+88034v79+8WsrCwxKyurXcfXHE2NZcaMGeLvfvc7qf3O\\\n",
       "nTtFpVIpvvbaa+Lx48fFF154QVSpVOJ3330ntfnzn/8sms1mcf369eKRI0fEO+64Q+zRo4dot9vb\\\n",
       "fXzN9eijj4omk0n89ttv/f4e2Gw2qU243AsiImo7DIRERFeR06dPiwBCvrZu3Sq16969u/jCCy/4\\\n",
       "HfvWW2+JKSkpolqtFocMGSLu2bPH73u73S4+9thjYlRUlKjT6cTJkyeL58+fb4dRtVxjYxk1apQ4\\\n",
       "a9Ysv/affPKJmJaWJqrVavH6668Xv/zyS7/vBUEQFy5cKMbHx4sajUYcO3asWFBQ0B5DabWG/h6s\\\n",
       "XLlSahMu94KIiNqOTBRFsWNqk0RERERERNSR+AwhERERERFRmGIgJCIiIiIiClMMhERERERERGGK\\\n",
       "gZCIiIiIiChMMRASERERERGFKQZCIiIiIiKiMMVASEREREREFKYYCImIiIiIiMIUAyEREXUK7733\\\n",
       "Hm677bY2v86mTZuQkZEBQRDa/FpEREQdjYGQiIiueg6HAwsXLsQLL7zQ5tf6+c9/DpVKhdWrV7f5\\\n",
       "tYiIiDoaAyEREV31Pv30UxiNRowYMaJdrverX/0Kb775Zrtci4iIqCMxEBIRUbupqKhAQkIC/vSn\\\n",
       "P0mf7dq1C2q1Gjk5OQ0et2bNGkyYMMHvs9GjR+PJJ5/0+2zSpEn41a9+Jb1PTU3FSy+9hJkzZ0Kv\\\n",
       "16N79+744osvUFFRgTvuuAN6vR4DBgzA/v37/c4zYcIE7N+/HydPnmz9YImIiDoBBkIiImo3cXFx\\\n",
       "eP/99/G///u/2L9/P6xWK2bMmIG5c+di7NixDR63Y8cODBo0qFXXfOONNzBixAgcPHgQ48ePx4wZ\\\n",
       "MzBz5kzcd999OHDgAHr16oWZM2dCFEXpmJSUFMTHx2P79u2tuiYREVFnwUBIRETt6vbbb8eDDz6I\\\n",
       "6dOn45FHHkFkZCSWLFnSYPuamhpYLBYkJSW1+noPP/ww+vTpg+effx61tbUYPHgw7r77bqSlpWH+\\\n",
       "/Pk4fvw4ysrK/I5LSkpCUVFRq65JRETUWTAQEhFRu3vttdfg8Xiwdu1arF69GhqNpsG2drsdAKDV\\\n",
       "alt1rQEDBkj/HB8fDwDo379/0Gfl5eV+x0VERMBms7XqmkRERJ0FAyEREbW7kydPoqSkBIIgoLCw\\\n",
       "sNG2MTExkMlkqK6ubvK8Xq836DOVSiX9s0wma/CzwG0mLly4gLi4uCavSURE1JkxEBIRUbtyuVy4\\\n",
       "7777cM8992DRokV44IEHgqpzl1Kr1UhPT8exY8eCvguc5nnq1Kkr0keHw4GTJ0/ipptuuiLnIyIi\\\n",
       "uloxEBIRUbv6wx/+AIvFgjfffBPz589HWloafv3rXzd6zLhx47Bjx46gz9evX49169bh5MmTWLx4\\\n",
       "MY4dO4aioiKcO3fusvq4Z88eaDQaZGVlXdZ5iIiIrnYMhERE1G6+/fZbLFu2DKtWrYLRaIRcLseq\\\n",
       "Vauwfft2vPPOOw0ed//99+M///kPLBaL3+fjx4/HK6+8gvT0dOTm5uLtt99GXl4eVq1adVn9/Pjj\\\n",
       "jzF9+nTodLrLOg8REdHVTiZeus42ERHRVeruu+/GwIEDsWDBAgAX9yHMyMjAsmXLruh1Kisr0bdv\\\n",
       "X+zfvx89evS4oucmIiK62rBCSEREncKrr74KvV7f5tcpLCzE22+/zTBIRERhgRVCIiLqlNqqQkhE\\\n",
       "RBROGAiJiIiIiIjCFKeMEhERERERhSkGQiIiIiIiojDFQEhERERERBSmGAiJiIiIiIjCFAMhERER\\\n",
       "ERFRmGIgJCIiIiIiClMMhERERERERGGKgZCIiIiIiChMMRASERERERGFKQZCIiIiIiKiMMVASERE\\\n",
       "REREFKYYCImIiIiIiMIUAyEREREREVGYYiAkIiIiIiIKU/8HeYyo1eAwXvYAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[12] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAtiJJREFUeJzs3Xd0U/X/P/DnzU7TNt17UPZqAQEZsreWJUsUZKoIiCD6UVEE\\\n",
       "QRQFQXBgRRAXS0SWDCl77yGjQKGlQPdOk2bee39/8Mv9Nk3SAS1Q83qckyO9ueN90yL32dd7MDzP\\\n",
       "8yCEEEIIIYQQ4nJEj7sBhBBCCCGEEEIeDwqEhBBCCCGEEOKiKBASQgghhBBCiIuiQEgIIYQQQggh\\\n",
       "LooCISGEEEIIIYS4KAqEhBBCCCGEEOKiKBASQgghhBBCiIuiQEgIIYQQQgghLooCISGEEEIIIYS4\\\n",
       "KAqEhBBCCCGEEOKiKBASQgghhBBCiIuiQEgIIYQQQgghLooCISGEEEIIIYS4KAqEhBBCCCGEEOKi\\\n",
       "KBASQgh5IAcOHADDMDhw4MDjbgqpYqdOnYJMJkNKSsojv3Zubi5UKhV27NjxyK9NCCGuiAIhIYSQ\\\n",
       "Mi1btgw///zz427GA1mzZg2WLFnyuJsBAOA4DgsWLEBUVBQUCgViYmKwdu3aCh9fUFCA1157Df7+\\\n",
       "/lCpVOjatSvOnTtnt9/69esxcuRI1KtXDwzDoEuXLpVu64cffogXX3wRkZGRlT72Yfn6+uKVV17B\\\n",
       "Rx999MivTQghrojheZ5/3I0ghBDy5GratCn8/PzsKoEcx8FkMkEmk0EkejJ/v9i3b19cvnwZt2/f\\\n",
       "ftxNwYwZM/D555/j1VdfRevWrbFlyxZs374da9euxfDhw8s8luM4dOzYERcvXsT//vc/+Pn5Ydmy\\\n",
       "Zbh79y7Onj2LevXqCft26dIFZ8+eRevWrXHhwgXExMRUqop74cIFtGjRAseOHUO7du0e9HYfSkJC\\\n",
       "Aho3boy9e/eiW7duj6UNhBDiKigQEkJIBeh0OqhUqsfdjMfCWSCsCZ6UQJiamoqoqCi89tpr+Pbb\\\n",
       "bwEAPM+jc+fOSE5Oxu3btyEWi50e/8cff+CFF17Ahg0bMGTIEABAdnY26tevj2effRZr1qwR9r17\\\n",
       "9y5CQ0MhEoke6Hs3depUbN68Gbdv3wbDMA92w1UgOjoaLVq0wK+//vrY2kAIIa7gyfyVLiGEVKPU\\\n",
       "1FSMHz8eISEhkMvliIqKwsSJE2EymQAAP//8MxiGwcGDBzFp0iQEBAQgLCxMOH7ZsmVo0qQJ5HI5\\\n",
       "QkJCMHnyZBQUFNhcIzExEYMHD0ZQUBAUCgXCwsIwfPhwFBYWCvvEx8ejQ4cO8PLygru7Oxo0aIAP\\\n",
       "Pvig3PZX5Dij0YjZs2ejbt26kMvlCA8Px7vvvguj0Wh3vt9//x1PP/003Nzc4O3tjU6dOmH37t0A\\\n",
       "gFq1auHKlSs4ePAgGIax6YLobAzhhg0b0LJlSyiVSvj5+WHkyJFITU212WfMmDFwd3dHamoqBg4c\\\n",
       "CHd3d/j7++Odd94By7LlfgZbtmxBbGys8D2sU6cOPvnkE5tju3Tpgu3btyMlJUVoe61atZyec8yY\\\n",
       "McJ+pV8ff/xxuW0qr71msxmTJk0StjEMg4kTJ+LevXs4fvx4mcf/+eefCAwMxKBBg4Rt/v7+GDZs\\\n",
       "GLZs2WLzfQ0PD3+oiu3mzZvRrVs3uzDo7HOoVasWxowZI3xt/ftz5MgRvPnmm/D394eXlxcmTJgA\\\n",
       "k8mEgoICjBo1Ct7e3vD29sa7774LR7+b7tmzJ7Zt2+bwPUIIIVVH8rgbQAghj1JaWhqefvppYTxW\\\n",
       "w4YNkZqaij///BPFxcWQyWTCvpMmTYK/vz9mzZoFnU4HAPj4448xZ84c9OjRAxMnTsT169fx/fff\\\n",
       "4/Tp0zh69CikUilMJhN69+4No9GIKVOmICgoCKmpqfj7779RUFAAtVqNK1euoG/fvoiJicHcuXMh\\\n",
       "l8tx8+ZNHD16tMz2V+Q4juPQv39/HDlyBK+99hoaNWqES5cu4auvvsKNGzewefNmYd85c+bg448/\\\n",
       "Rvv27TF37lzIZDKcPHkS+/btQ69evbBkyRJMmTIF7u7u+PDDDwEAgYGBTtv3888/Y+zYsWjdujXm\\\n",
       "z5+PzMxMLF26FEePHsX58+fh5eUl7MuyLHr37o02bdrgyy+/xJ49e7Bo0SLUqVMHEydOLPNz+Pnn\\\n",
       "n+Hu7o7p06fD3d0d+/btw6xZs6DRaLBw4UIA98fBFRYW4t69e/jqq68AAO7u7k7POWHCBPTo0cNm\\\n",
       "265du7B69WoEBAQI23Jycspsm5WHhwfkcjkA4Pz581CpVGjUqJHNPk8//bTwfocOHZye6/z583jq\\\n",
       "qafsgt7TTz+N5cuX48aNG4iOjq5Qu8qSmpqKO3fu4Kmnnnroc1l/9ufMmYMTJ05g+fLl8PLywrFj\\\n",
       "xxAREYHPPvsMO3bswMKFC9G0aVOMGjXK5viWLVviq6++wpUrV9C0adOHbg8hhBAneEIIcSGjRo3i\\\n",
       "RSIRf/r0abv3OI7jeZ7nV61axQPgO3TowFssFuH9rKwsXiaT8b169eJZlhW2f/vttzwA/qeffuJ5\\\n",
       "nufPnz/PA+A3bNjgtB1fffUVD4DPzs6uVPsrctxvv/3Gi0Qi/vDhwzbb4+LieAD80aNHeZ7n+cTE\\\n",
       "RF4kEvHPP/+8zf3w/P99FjzP802aNOE7d+5sd539+/fzAPj9+/fzPM/zJpOJDwgI4Js2bcrr9Xph\\\n",
       "v7///psHwM+aNUvYNnr0aB4AP3fuXJtztmjRgm/ZsmXZHwLP88XFxXbbJkyYwLu5ufEGg0HYFhsb\\\n",
       "y0dGRpZ7PkcSExN5tVrN9+zZ0+bnAECFXqtWrbJpR+3ate2uodPpeAD8+++/X2ZbVCoVP27cOLvt\\\n",
       "27dv5wHwu3btcnics++dM3v27OEB8Nu2bbN7DwA/e/Zsu+2RkZH86NGjha+tf3969+5t83PUrl07\\\n",
       "nmEY/vXXXxe2WSwWPiwszGEbjx07xgPg169fX+H2E0IIqTzqMkoIcRkcx2Hz5s3o168fWrVqZfd+\\\n",
       "6S5yr776qs24rj179sBkMmHatGk2lZpXX30Vnp6e2L59OwBArVYDAP755x8UFxc7bIu1UrZlyxZw\\\n",
       "HFfhe6jIcRs2bECjRo3QsGFD5OTkCC/r5Bz79+8HcL9rIMdxmDVrll3l6UHGjp05cwZZWVmYNGkS\\\n",
       "FAqFsD02NhYNGzYUPp+SXn/9dZuvO3bsiKSkpHKvpVQqhT8XFRUhJycHHTt2RHFxMa5du1bptpem\\\n",
       "0+nw/PPPw9vbG2vXrrX5OYiPj6/Qq3fv3sIxer1eqBaWZP2c9Hp9me152OMrKjc3FwDg7e390Oca\\\n",
       "P368zc9RmzZtwPM8xo8fL2wTi8Vo1aqVw++5tQ0VrcgSQgh5MNRllBDiMrKzs6HRaCrc/SwqKsrm\\\n",
       "a+uabA0aNLDZLpPJULt2beH9qKgoTJ8+HYsXL8bq1avRsWNH9O/fHyNHjhTC4gsvvIAVK1bglVde\\\n",
       "wfvvv4/u3btj0KBBGDJkSJnjvypyXGJiIhISEuDv7+/wHFlZWQCAW7duQSQSoXHjxhX6PMrj7PMB\\\n",
       "gIYNG+LIkSM22xQKhV0bvb29kZ+fX+61rly5gpkzZ2Lfvn3QaDQ275Ucp/mgXn31Vdy6dQvHjh2D\\\n",
       "r6+vzXulu5VWhFKpdDh+02AwCO9X5/GVxVfBuL2IiAibr60/++Hh4XbbHX3PrW14nBPbEEKIK6BA\\\n",
       "SAghTjzMQ/aiRYswZswYbNmyBbt378abb76J+fPn48SJEwgLC4NSqcShQ4ewf/9+bN++Hbt27cL6\\\n",
       "9evRrVs37N692+mMkxU5juM4REdHY/HixQ7PUfqB/HEpa1bNshQUFKBz587w9PTE3LlzUadOHSgU\\\n",
       "Cpw7dw7vvfdepSqujixduhRr167F77//jubNm9u9n5GRUaHzqNVq4WcoODgY+/fvB8/zNgEnPT0d\\\n",
       "ABASElLmuYKDg4V9S6ro8RVlDb8VCeVWzsKjs++vo+2OzmFtg5+fX4XbQgghpPKoyyghxGX4+/vD\\\n",
       "09MTly9ffqDjrYt0X79+3Wa7yWRCcnKy3SLe0dHRmDlzJg4dOoTDhw8jNTUVcXFxwvsikQjdu3fH\\\n",
       "4sWLcfXqVXz66afYt2+f0KXTmfKOq1OnDvLy8tC9e3f06NHD7mWt4NWpUwccx+Hq1atlXq+iFRpn\\\n",
       "n491W1Utcn7gwAHk5ubi559/xtSpU9G3b1/06NHDYTfHylaXDh8+jHfeeQfTpk3DiBEjHO4THBxc\\\n",
       "odf69euFY5o3b47i4mIkJCTYnOvkyZPC+2Vp3rw5zp07Zxd2T548CTc3N9SvX79S9+lMw4YNAQDJ\\\n",
       "yckO3y8qKrLbZq04VzVrG0pPxEMIIaRqUSAkhLgMkUiEgQMHYtu2bThz5ozd++V1k+vRowdkMhm+\\\n",
       "/vprm31XrlyJwsJCxMbGAgA0Gg0sFovNsdHR0RCJREK3v7y8PLvzW0OBo66BVhU5btiwYUhNTcWP\\\n",
       "P/5ot69erxdmTB04cCBEIhHmzp1rFzRK3p9KpbJbVsORVq1aISAgAHFxcTb3sHPnTiQkJAifz8Oy\\\n",
       "VphKttFkMmHZsmV2+6pUqgp3IU1PT8ewYcPQoUMHYaZSRx5kDOGAAQMglUpt2sjzPOLi4hAaGor2\\\n",
       "7dvbtOPatWswm83CtiFDhiAzMxN//fWXsC0nJwcbNmxAv379HI4vfBChoaEIDw93+PcDgN0SIzt3\\\n",
       "7oTBYKiWpSHOnj0LtVqNJk2aVPm5CSGE/B/qMkoIcSmfffYZdu/ejc6dOwtLMqSnp2PDhg04cuSI\\\n",
       "zbIIpfn7+2PGjBmYM2cO+vTpg/79++P69etYtmwZWrdujZEjRwIA9u3bhzfeeANDhw5F/fr1YbFY\\\n",
       "8Ntvv0EsFmPw4MEAgLlz5+LQoUOIjY1FZGQksrKysGzZMoSFhZW5/EBFjnv55Zfxxx9/4PXXX8f+\\\n",
       "/fvxzDPPgGVZXLt2DX/88Qf++ecftGrVCnXr1sWHH36ITz75BB07dsSgQYMgl8tx+vRphISEYP78\\\n",
       "+QDuT////fffY968eahbty4CAgKECWpKkkql+OKLLzB27Fh07twZL774orDsRK1atfDWW2896LfN\\\n",
       "Rvv27eHt7Y3Ro0fjzTffBMMw+O233xyGkpYtW2L9+vWYPn06WrduDXd3d/Tr18/hed98801kZ2fj\\\n",
       "3Xffxbp162zei4mJQUxMDIAHG0MYFhaGadOmYeHChTCbzWjdujU2b96Mw4cPY/Xq1TbdKGfMmIFf\\\n",
       "fvkFycnJwrqJQ4YMQdu2bTF27FhcvXoVfn5+WLZsGViWxZw5c2yudejQIRw6dAjA/XGzOp0O8+bN\\\n",
       "AwB06tQJnTp1KrOtAwYMwKZNm+y6twJAQkICnnvuOfTv3x9paWlYunQp1Go1jh07hrVr1+LFF1+s\\\n",
       "9GfjTHx8PPr160djCAkhpLo9jqlNCSHkcUpJSeFHjRrF+/v783K5nK9duzY/efJk3mg08jz/f9Pm\\\n",
       "O1qagufvLzPRsGFDXiqV8oGBgfzEiRP5/Px84f2kpCR+3LhxfJ06dXiFQsH7+PjwXbt25ffs2SPs\\\n",
       "s3fvXn7AgAF8SEgIL5PJ+JCQEP7FF1/kb9y4UWbbK3qcyWTiv/jiC75Jkya8XC7nvb29+ZYtW/Jz\\\n",
       "5szhCwsLbfb96aef+BYtWgj7de7cmY+Pjxfez8jI4GNjY3kPDw8egLBEQOllJ6zWr18vnM/Hx4cf\\\n",
       "MWIEf+/ePZt9Ro8ezatUKrv7mz17Nl+Rf5qOHj3Kt23bllcqlXxISAj/7rvv8v/8849de7RaLf/S\\\n",
       "Sy/xXl5ePIAyl6Do3Lmz0yUkHC23UFksy/KfffYZHxkZyctkMr5Jkyb877//brefdUmO5ORkm+15\\\n",
       "eXn8+PHjeV9fX97NzY3v3Lmzw59R62f4oPdx7tw5HoDdsiUA+OnTp/NDhw7llUolHxwczH/77bd8\\\n",
       "XFwc7+bmxr/yyis8zzv/+2NtV+klUxz9LCQkJPAAbP7OEEIIqR4Mz1dDPw9CCCGE1Fjdu3dHSEgI\\\n",
       "fvvtN2EbwzCYPXs2Pv7442q//rRp03Do0CGcPXuWKoSEEFLNaAwhIYQQQmx89tlnWL9+vbCUyKOU\\\n",
       "m5uLFStWYN68eRQGCSHkEaAxhIQQQgix0aZNG5hMpsdybV9fX2i12sdybUIIcUVUISSEEEIIIYQQ\\\n",
       "F0UVQkIIIYSUi6YcIISQ/yaqEBJCCCGEEEKIi6JASAghhBBCCCEuirqMEkJqJI7jkJaWBg8PD5qJ\\\n",
       "kBBig+d5FBUVISQkBCJR5X/3vWrVKly8eLFSxzRr1gxjx46t9LUIIeRxo0BICKmR0tLSsGLFisfd\\\n",
       "DELIE2rOnDm4e/cuwsLCKnXcqlWrMG7cuAe+LoVCQkhNQ4GQEFIjeXh4AABVBwkhTln/P1EZla0M\\\n",
       "PuixEokELMvabLNO3LN371706NHD7pjWrVvj1KlTD9w+QghxhMYQEkJqJAqChJDyPOz/JxiGqdDr\\\n",
       "QZQOgyVt3LhR+HNAQACkUikA4PTp0w90LUIIKQsFQkIIIYSQUioaBh80FPI8L7xKW7ZsmfBeZmYm\\\n",
       "TCYTFAoFAKBx48YPfW+EEFISdRklhBBCCCmlskGP53ns27cP06ZNE7a1bdsWw4cPr5L2GI1GAECv\\\n",
       "Xr2q5HyEEGJFgZAQQgghpJQHqfxdunQJly5dEr5eunRplQTCVatWCZXEJUuWPPT5CCGkJAqEhBBC\\\n",
       "CCGlPEggjI6ORrdu3YSv27Zt+9Dt2Lt3rzDr6dSpUx/6fIQQUhoFQkIIIYSQUh4kEHbr1q1KK3gl\\\n",
       "ZxsdPHgwVQcJIdWCJpUhhBBCCHnClAyDffr0wZ9//vmYW0QI+a+iQEgIIYQQUkp1zzI6a9YseHh4\\\n",
       "2KyV6OHhgcaNG9uEQQ8PD2i1WnTs2BEdO3bE1q1bq+weCSEEoC6jhBBCCCF2HmaNwYr49NNPwXGc\\\n",
       "zTatVouEhARMmDBB2FZUVIQjR44IXx87dqzMNQwJIaSyKBASQgghhJRS3YGQQh0h5ElBgZAQQggh\\\n",
       "pJTqDoSEEPKkoEBICCGEEFIKBUJCiKugSWUIIYQQQgghxEVRhZAQQgghpBSqEBJCXAVVCAkhFfb5\\\n",
       "55+DYRhMmzatzP02bNiAhg0bQqFQIDo6Gjt27LB5n+d5zJo1C8HBwVAqlejRowcSExOrseWEEFI5\\\n",
       "1b3sBCGEPCkoEBJCKuT06dP44YcfEBMTU+Z+x44dw4svvojx48fj/PnzGDhwIAYOHIjLly8L+yxY\\\n",
       "sABff/014uLicPLkSahUKvTu3RsGg6G6b4MQQiqEAiEhxFVQICSElEur1WLEiBH48ccf4e3tXea+\\\n",
       "S5cuRZ8+ffC///0PjRo1wieffIKnnnoK3377LYD71cElS5Zg5syZGDBgAGJiYvDrr78iLS0Nmzdv\\\n",
       "fgR3Qwgh5aNASAhxFRQICSHlmjx5MmJjY9GjR49y9z1+/Ljdfr1798bx48cBAMnJycjIyLDZR61W\\\n",
       "o02bNsI+jhiNRmg0GpsXIYRUFwqEhBBXQYGQEFKmdevW4dy5c5g/f36F9s/IyEBgYKDNtsDAQGRk\\\n",
       "ZAjvW7c528eR+fPnQ61WC6/w8PDK3AYhhBBCCHGAAiEhxKm7d+9i6tSpWL16NRQKxWNty4wZM1BY\\\n",
       "WCi87t69+1jbQwj5b6MKISHEVdCyE4QQp86ePYusrCw89dRTwjaWZXHo0CF8++23MBqNEIvFNscE\\\n",
       "BQUhMzPTZltmZiaCgoKE963bgoODbfZp3ry507bI5XLI5fKHvSVCCKkQCnqEEFdBFUJCiFPdu3fH\\\n",
       "pUuXcOHCBeHVqlUrjBgxAhcuXLALgwDQrl077N2712ZbfHw82rVrBwCIiopCUFCQzT4ajQYnT54U\\\n",
       "9iGEkCcBVQcJIa6AKoSEEKc8PDzQtGlTm20qlQq+vr7C9lGjRiE0NFQYYzh16lR07twZixYtQmxs\\\n",
       "LNatW4czZ85g+fLlACCsYzhv3jzUq1cPUVFR+OijjxASEoKBAwc+0vsjhBBnKhP2KBQSQmoyCoSE\\\n",
       "kIdy584diET/19mgffv2WLNmDWbOnIkPPvgA9erVw+bNm22C5bvvvgudTofXXnsNBQUF6NChA3bt\\\n",
       "2vXYxykSQogVBUJCiKugQEgIqZQDBw6U+TUADB06FEOHDnV6DoZhMHfuXMydO7eKW0cIIVWDAiEh\\\n",
       "xFXQGEJCCCGEEEIIcVFUISSEEEIIKYUqhIQQV0GBkBDyn+fu7v64m0AIqUJarbbar0GBkBDiKigQ\\\n",
       "EkL+09zd3fH2228/7mYQQqrQokWLqj0UUiAkhLgKCoSEEEIIIaVQICSEuAoKhIQQQgghpVAgJIS4\\\n",
       "CppllBBCCCGEEEJcFFUICSGEEEJKoQohIcRVUCAkhBBCCCmFAiEhxFVQICSEEEIIKYUCISHEVVAg\\\n",
       "JIQQQggphQIhIcRVUCAkhBBCCCmFAiEhxFXQLKOEEEIIIYQQ4qKoQkgIIYQQUgpVCAkhroICISGE\\\n",
       "EEJIKRQICSGuggIhIYQQQkgpFAgJIa6CAiEhhBBCSCkUCAkhroICISGEEEKIAxT0CCGugGYZJYQQ\\\n",
       "QgghhBAXRRVCQgghhJBSqMsoIcRVUCAkhBBCCCmFAiEhxFVQICSEEEIIKYUCISHEVVAgJIQQQggp\\\n",
       "hQIhIcRVUCAkhBBCCCmFAiEhxFVQICSEEEIIKYUCISHEVdCyE4QQQgghhBDioqhCSAghhBBSClUI\\\n",
       "CSGuggIhIYQQQkgpFAgJIa6CuowSQgghhJRiDYQVfVWWRCIp8xwajcbu/eDg4Kq6PUIIEVAgJIQQ\\\n",
       "QggppboDIcuyZb6vVquFP3t4eAAAMjIysGrVqkpfixBCykKBkBBCCCGklOoOhDzPC6/SNBqNzX4a\\\n",
       "jQYTJ04EAIwbN+7Bb4oQQhygQEgIIYQQ8gRp1qwZAMDd3V3YtmzZssfVHELIfxxNKkMIIYQQUsqD\\\n",
       "TCqzb98+TJs2Tdjetm1bDB8+vNLXTk1NBQBER0dX+lhCCKksCoSEEEIIIaU8SCC8dOkSLl26JGxf\\\n",
       "unTpAwVCQgh5lCgQEkIIIYSU8iCBMDo6Gt26dRO2t23b9oGuHRoaitu3b9uES0IIqS4UCAkhhBBC\\\n",
       "SnmQQNitWzcsWbLkoa998eJFqNVqaLVaYVvJrqiEEFKVKBASQgghhJRS3QvTz5o1C1999ZXNNg8P\\\n",
       "D4SHh+Pq1as25/b09BRmHv3pp58qfS1CCCkLBUJCCCGEkEfs008/BcdxNtu0Wi0SEhIAAIWFhcJa\\\n",
       "hNYwGBgYiLFjxz7ahhJC/vMoEBJCCCGElFLdFcLyFqb39PR0uEYhIYRUNQqEhBBCCCEOPEjQI4SQ\\\n",
       "moYCISGEEEJIKdVdISSEkCcFBUJCCCGEkFIoEBJCXAUFQkIIIYSQUigQEkJcBQVCQgghhJBSKBAS\\\n",
       "QlyF6HE3gBBCCCGEEELI40EVQkIIIYSQUqhCSAhxFRQICSGEEEJKoUBICHEVFAgJIYQQQkqhQEgI\\\n",
       "cRUUCAkhhBBCSqFASAhxFRQICSGEEEJKoUBICHEVNMsoIYQQQgghhLgoCoSEEPIEE4lEEIlEQrVC\\\n",
       "IpFg9uzZ4Hn+cTftkWBZFklJSZg1axYaNmwIT09PyOVySKVSm8/F2atLly5lflZarRZvvPEGgoOD\\\n",
       "oVar4eHhAZlMVu55xWIxxGJxufuVd47GjRtj8eLF+Omnn9CnTx/I5fKHOqejl0QigUwmg1gshkhE\\\n",
       "/+xXVGU/Z0IIqamoyyghhDzBGIaxCTRisRgNGjRwqQdQnU6H06dPIzU1FXq9HhzHVfjYiIiIMt+3\\\n",
       "WCy4e/cuiouLYTQaAaBC56+KQM5xHG7fvo01a9YgKCgIN27cAMuyD33e0liWrZbz/tdRl1FCiKug\\\n",
       "QEgIIU8wpVIpPNAzDIO6deuia9euj7tZjwzDMCgoKMC///6L4uJim7DGMAxEIhF4nncY0BiGwXPP\\\n",
       "PVfmw3pmZiYuXrxoc+6Khr3SYf1B6PV6XLx4EVeuXIHFYqHg9gShQEgIcRUUCAkh5Ak2Y8YMFBUV\\\n",
       "IScnB0FBQXj55ZcRGBj4uJv1yDAMA6lUCq1Wa1e5k8lkaNq0KUJCQnDx4kXk5eVBp9OB53kwDAM/\\\n",
       "Pz90797d6blZlsWKFSuQlpYGi8VSqXYplUoolUoUFhZW+tjSLBbLQ5+DVD0KhIQQV0GDCQghTs2f\\\n",
       "Px+tW7eGh4cHAgICMHDgQFy/fr3c4zZs2ICGDRtCoVAgOjoaO3bssHmf53nMmjULwcHBUCqV6NGj\\\n",
       "BxITE6vrNmq0999/H/PmzUNcXBzmzp2LBg0auNQ4MIZhUKdOHXh7e9tsF4vFGD58OPbv34/Nmzfj\\\n",
       "1q1byMrKwsGDBzFq1Ci88MIL+Ouvv+Dj4+PwvDzP48SJE/j+++9hNpsr1SZPT08sXboUhw8fxjff\\\n",
       "fGPXtieBtXpKHhyNISSEuAr614IQ4tTBgwcxefJknDhxAvHx8TCbzejVqxd0Op3TY44dO4YXX3wR\\\n",
       "48ePx/nz5zFw4EAMHDgQly9fFvZZsGABvv76a8TFxeHkyZNQqVTo3bs3DAbDo7itGkUsFkMikUAi\\\n",
       "kbjsA76vry+++OILqNVqiEQiSKVSPPfcc/j+++/h4eEBkUgEiUQCpVKJjh074ueff8bvv/+O9u3b\\\n",
       "QywW252P4zgcPXoUzz77bJk/y46IxWL88MMPGDduHBo1aoQJEybg0qVL5Y5VfJSCg4OxaNEifPfd\\\n",
       "d6hduzaFFUIIIWWiLqOEEKd27dpl8/XPP/+MgIAAnD17Fp06dXJ4zNKlS9GnTx/873//AwB88skn\\\n",
       "iI+Px7fffou4uDjwPI8lS5Zg5syZGDBgAADg119/RWBgIDZv3ozhw4dX702RR664uBharRZeXl6Q\\\n",
       "yWSVPl4kEmHo0KFo1aoVDh8+jNq1a+Ppp5+GQqFwuL91Bk8rjuPA8zxYlkV2djZmzJiBdevWVboy\\\n",
       "CAANGjTAoEGDhHDOMAxCQ0MRHx+Pli1bQqvVVvqcVYVhGAwYMABr1qwRPpvY2Fi0aNECubm5j61d\\\n",
       "NRV1GSWEuArX/HUzIeSBFBYWAoDTbngAcPz4cfTo0cNmW+/evXH8+HEAQHJyMjIyMmz2UavVaNOm\\\n",
       "jbCPI0ajERqNxuZF7ntSl6DgeR7btm1D7dq1Ubt2bfTt27fSFTkrkUiEOnXqYMyYMejUqZPTMFga\\\n",
       "y7JISEjAhAkTUL9+fdSpUwe//fbbA4VBhmHw9ttvOwy1devWxciRIx9bMBCJRHjzzTfx559/QqlU\\\n",
       "CmEmLCwM7777rsNKKSkbdRklhLgKCoSEkArhOA7Tpk3DM888g6ZNmzrdLyMjw27Sk8DAQGRkZAjv\\\n",
       "W7c528eR+fPnQ61WC6/w8PAHvZX/FJZlhQrcg05MwnEcMjMzcenSJSH0V4WDBw9i8ODByMzMhE6n\\\n",
       "w969e/HXX39V2fkrwmAw4LXXXsOqVauQkpIiLC3xIKRSKXr27OnwPZFIhGnTpj1QBfRhyeVyfP31\\\n",
       "11i8eLFd8GMYBmPGjEFUVBSFlkqiQEgIcRUUCAkhFTJ58mRcvnwZ69ateyzXnzFjBgoLC4XX3bt3\\\n",
       "H0s7njQsyyIjIwNXrlxBenp6pUIhz/MoLi5GXFwcWrdujU6dOmHw4MHIy8t76Hbp9Xq88MILNpU4\\\n",
       "juOwZ88epxVNnueRmpqKgwcPVqgNPM/DYrGUWSG1rvVXmbULnYmMjCxzhtdatWohMjLyoa9TmlQq\\\n",
       "RUREBJ577jm8/PLL6N27N5o2bYpGjRph5MiRuHbtGiZNmuR0jKmvry8+/fRTREREVLiySu6jMEgI\\\n",
       "cQU0hpAQUq433ngDf//9Nw4dOoSwsLAy9w0KCkJmZqbNtszMTAQFBQnvW7cFBwfb7NO8eXOn55XL\\\n",
       "5ZDL5Q94B/9dIpEIcrkcRqMReXl58PPzg0RS9v/aeZ6H2WxGdnY2vvnmG3z//fcoKioCABw9ehTb\\\n",
       "tm3DqFGjHupBd//+/cjJybHbHhoa6vS8mzdvxssvvwyj0YioqCicPHnS6QyeHMfh0qVL2L17N3r0\\\n",
       "6IFmzZo5DERKpRJPPfUUMjIyhFBofYgva/1CkUgEkUgkHOPl5YUVK1aUWQGUyWR45513MHny5Afq\\\n",
       "klqaRCJB165d8e2336JWrVrC97Vku8VicbnfJ7FYjGeffRYikQjx8fEP3S5XQWMICSGuggIhIcQp\\\n",
       "nucxZcoUbNq0CQcOHEBUVFS5x7Rr1w579+7FtGnThG3x8fFo164dACAqKgpBQUHYu3evEAA1Gg1O\\\n",
       "njyJiRMnVsdt/KdJJBIEBgbC3d0dPM9DKpWWe4zFYsHdu3dx5MgR7Nmzx2521/z8fGEtP2fHWycp\\\n",
       "8fX1tQugLMvi999/t6vKicVivPTSSw7PqdfrMW7cOGGM4a1btxAfH49hw4Y53D8xMRF9+/ZFdnY2\\\n",
       "li9fjiNHjsDf398uFEokEnzzzTfIyMhAcnIyfH19MXjwYHTt2hVSqRQJCQnYvXs3bty4AZZlERUV\\\n",
       "hQEDBuCZZ56BWq1GdnY2TCYT6tSpA39/fyef6H0Mw2DEiBE4ffo0NmzYAIPBAJ7nwXFcmZXMkgHU\\\n",
       "uu5iWFgYvvrqK/Ts2bPcgF8RKpUKPXv2LPOXLoQQQlwTBUJCiFOTJ0/GmjVrsGXLFnh4eAhj/NRq\\\n",
       "NZRKJQBg1KhRCA0Nxfz58wEAU6dORefOnbFo0SLExsZi3bp1OHPmDJYvXw7g/sPvtGnTMG/ePNSr\\\n",
       "Vw9RUVH46KOPEBISgoEDBz6W+6zppFIp1Go1gIpVKkQiETw9PREdHY3BgweDZVmkpKQAAJo2bYrY\\\n",
       "2Fin5+E4DqdOncKHH36IwsJCDB48GK+99hp8fX2FYwoLC5GZmSlU4awiIyNRv359h+fNysoSqpTA\\\n",
       "/V9GpKenO9zXZDJhxIgRSE1NBc/zSE5Oxvr16zFu3Di4u7vb7R8REYEdO3ZAp9MhICBAmHQFALp0\\\n",
       "6YLXX39duGbpqlBll5Nwc3PDN998g3feeQe3bt1CamoqTp48iX/++Qfp6elgWVa4jkQiQUBAAHr1\\\n",
       "6oVBgwYhMjJSWEIjMDAQnp6eVbbUiEgkgru7e5WES1dBFUJCiKugfxkIIU59//33AO4/NJe0atUq\\\n",
       "jBkzBgBw584dm4fW9u3bY82aNZg5cyY++OAD1KtXD5s3b7aZiObdd9+FTqfDa6+9hoKCAnTo0AG7\\\n",
       "du2i8U0PoTIPpGKxGL6+vvDx8UHTpk0xceJE5ObmwmQyISAgAF5eXk7Pp9FoMH36dJw9exYsy+LS\\\n",
       "pUtYvnw5Jk6ciP79+8PT0xPZ2dmoVasW3NzcUFxcLFQuhw8f7jSQyOVySCQSsCwL4H5lLyYmxuG+\\\n",
       "J06cwIULF4SwybIsvvvuOzRt2hTdunWz218kEsHPzw9+fn4O78u6raoe6uVyOerXr4+6deuCZVn0\\\n",
       "7dsXjRs3RlxcHFJTU8GyLNRqNYYPH47//e9/CAoKspkMpqzq7MOwhk1SMRQICSGugv5lIIQ4VZHl\\\n",
       "DA4cOGC3bejQoRg6dKjTYxiGwdy5czF37tyHaR55CNYQLxaLIZPJ4OXlVe4xPM/j0qVL+Pfff4XJ\\\n",
       "aywWC+7cuYOZM2di8eLF6NixI7p3746YmBgkJyfjzJkz0Ov1kMlkyM7OhtFoFKrLJfn5+aFHjx74\\\n",
       "559/AADNmzdHq1atHLZh1qxZQnC0SkpKwnvvvYcjR47YjTWtroBVHms3UH9/fwwePBg6nQ7bt2+H\\\n",
       "2WxGbGwspk6dCm9vb7u2VWdbWZb9T4SXKVOmlLn8TVWgQEgIcRUUCAkhhFQIy7LYuHGjw6UbrIu+\\\n",
       "b9++HXl5eejVqxdq1aqFy5cvQ6/XQ6/XY/Xq1TAYDFi8eDH8/PxsjpdIJFi/fj22bt2KwsJCPP/8\\\n",
       "8w67f7Isi2vXrtltt1gsOH/+PN555x3MmjULHh4e4DgOZrMZMpkMCoXisT20i8ViBAUFYdiwYfD2\\\n",
       "9oZOp0NsbCzUanWZbbKOOxSLxVXSdZTneeTn5z/0eVwFBUJCiKugQEgIIaRCcnJysHnz5jKXcDAa\\\n",
       "jTh79izMZjMKCgpQWFgoVBOLi4vx22+/YcuWLdi8eTO6dOli8yCtUqkwfPhwAM4fsBmGgb+/v91M\\\n",
       "tsD9sPj999/jt99+g4eHhzAWb/r06Xj++ecrNOFOdZFKpahVqxaef/55FBUVISQkpMzF4s1mM06c\\\n",
       "OIEDBw6gefPm6N69O9zc3B6qDSzL4tSpUw91DldCgZAQ4iooEBJCCClXcXEx5s2bh3v37pW7r06n\\\n",
       "w4ULF2CxWGAymeze12g0eOGFF5CUlGRXBazIEgqrVq1Ct27dbCahsWJZVlirErg/xvW7775Dv379\\\n",
       "HmsgZBgGMpkMgYGB8PX1LTMMAsC9e/cwbtw43LlzBzKZDOPGjcOCBQseaukVjuNw7ty5Bz7e1VAg\\\n",
       "JIS4ClqYnhBCSJlMJhOWLVuGlStX2o3dc4TjOBgMBodh0Eqr1TrseloRLVu2xO3bt7Fo0SI0bdrU\\\n",
       "ZtZQR23Jy8t7qC6XJpMJqampuHfvXpn3VBHWMZtlBUKe57F582bcvn0bJpMJWq0WK1euxIkTJ5yO\\\n",
       "62VZtsylLYD73XIjIyMfqv2EEEL+eygQEkIIcYrneVy8eBHz58+3W6/QGWtlpayqSatWrSo0kY2z\\\n",
       "8/v4+GD69Om4ePEikpKSMHDgQIfrBDIMg+jo6DKrg84WqAfur8k4fPhwNGrUCE2aNMGYMWNQXFxc\\\n",
       "bhvLCmYVqTxduHDBJnwXFxdjzpw5dt8DnueRmZmJ5cuX4/vvv0dmZqbTa4vFYgwePLjctpP7Sv4c\\\n",
       "V+RFCCE1FQVCQgghTvE8jwMHDkCj0VT4GJlMBj8/P6jVartKmFgsRocOHbBjx45yu01WhEgkQlBQ\\\n",
       "ENavX48zZ86gdu3aNg/nSqUSb731VrkVQmchatWqVfj7779RVFQEjUaDP/74A1988YXTcZQcxyEz\\\n",
       "MxO3b98uswJqDaHOrhsVFWW3/4kTJ7BmzRoYDAZwHAej0Yg9e/agY8eOmD59OmbMmIHp06dDr9c7\\\n",
       "va63t7fT94gtCoSEEFdBYwgJIYQ4xTAMwsLCIJFIhMlhyqJSqTBo0CCMGTMGSqUS586dw759+5Cb\\\n",
       "m4umTZvi9ddfR6NGjaokDJYklUoRERGBM2fO4K233sKOHTsgkUgwbdo0NG/evMxjy3qgT0xMtLlv\\\n",
       "lmWxdOlSjB07FrVq1bLZ12w2Y+3atfj4449hMBjw8ssv45NPPoFMJrM7r9lsRmpqKjiOQ3BwsE23\\\n",
       "V4Zh8PLLL2PJkiXCWEgAMBgMeOutt7Bz505ER0fjyJEjOHbsGPR6vbC0xr59+3D37l00aNCggp8c\\\n",
       "cYbGEBJCXAUFQkIIIU4xDIPY2Fg8//zz2Lx5M4xGo111jGEYiMVihISE4IsvvsCAAQOEZR7atm2L\\\n",
       "SZMmCftVN29vb6xcuVKY3dTb2/uhJpPp0qULVqxYYRMKNRoNRowYgS1btsDHxwcMw6CoqAjTp0/H\\\n",
       "r7/+CrPZDAD46quv0LJlSwwbNszmnBzHYevWrXj77bdRVFSEOnXqYNmyZWjZsqVQyYyKisJ3332H\\\n",
       "V199Vaj48TyPoqIi/PXXX8Jsr6UrjCKRSBhLSCHl4VAgJIS4CgqEhBDigjiOA8uyFQpLnp6eWLVq\\\n",
       "FT744APs2bMHhw8fRkJCAnJycmA2m6FWq9G/f3/873//Q2hoqE33zMfxoCwWi6ts0fIePXqgXr16\\\n",
       "uHbtmhC+eJ7HyZMn0aFDB4wdOxYMw+Cnn35CYmKiTVg2m8348MMP7Za8KCgowMSJE5GTkwMAOHv2\\\n",
       "LIYNG4bTp08L6zOKRCIMHz4cZrMZkyZNsukGyvO83eQ+DMNAqVSif//+CA8Pp4BSBSgQEkJcBQVC\\\n",
       "QghxQYmJibh58yY6d+7scAH40uRyOZo2bYomTZpgypQpKC4uRkpKCjIyMhAeHo5atWo91JIITyq1\\\n",
       "Wo24uDiMGzcOycnJQuBjWRbXr1/HBx98AABOxxSmpaUhPz8fAQEBwrYTJ04gLy9P+JrneaSlpSE1\\\n",
       "NVUIhMD9YPvyyy8jJSUFn3zyicMZXq3LWdSuXRtvvfUWBg8eXO73s6wJb2qKRYsWQavVPu5mEELI\\\n",
       "fwJNKkMIIS5o9+7dWL16dYXWFSzJ2j3Uw8MDTZo0QdeuXVG/fv3/XBi0TvjCMAxat26NP//806ZL\\\n",
       "pxXHcU7DoPU82dnZNl+XDINWEonEYVVTLBbjvffew1NPPWVXhZJKpWjRogU2b96MU6dOYfz48fDx\\\n",
       "8XmoJTbI/6FJZQghroIqhIQQ4oKaN28OkUhkU5GqLGs4rAyWZZGTk4Ps7Gx4eXnB398fMpnsiXmg\\\n",
       "NhqNSEpKwu3bt+Hj44OmTZtCLpejcePG+OabbxAbG4vc3NwKnYthGLi7u8NgMNiM6WvdujVUKhWK\\\n",
       "iooA3O8e2qVLFwQFBTk8j0KhwNq1a9G1a1ekpaUBALy8vPDBBx9gwoQJcHNze2I+v/8S6jJKCHEV\\\n",
       "FAgJIcQFtWvXDq1atYJCoXhk1ywuLsagQYNw4MABWCwWSCQS1K5dG++99x6ee+45eHp6gmEYcBwH\\\n",
       "hmEgkUiqZDZSi8UCo9EIuVwOicT5P3tmsxmff/45li5dCp1OB5lMhmXLlmHw4MGQyWSoW7cuoqKi\\\n",
       "ygyE1nbL5XK4u7ujTZs2kMlk4DgOYrEYDMMgKioKixcvxrx586DT6dC5c2csX768zPGcUVFR2Llz\\\n",
       "J9atWwdPT08MGzYM4eHhVA2sRhQICSGuggIhIYS4IIlEUmY4qgjrxDQSiaTcB2KO4/DCCy9g9+7d\\\n",
       "whg2lmWRkJCAV155BSEhIWjdujUCAgJgNBrB8zwiIyPRuXNnxMTEwNPT0yYcWrt0ikSiMq+t1+ux\\\n",
       "dOlSbN++HZ07d8b777/vdIzdhQsXsHDhQuh0OgCAyWTCBx98gKeffhpRUVHCxC3OKBQKjB49GuPH\\\n",
       "j4enpycKCwthMBigUqlgsViEtspkMowePRrPP/88OI6Dl5dXuZP7iEQiNG7cGB9//DEYhqEg+AhQ\\\n",
       "ICSEuAoKhIQQQirNZDLh6NGjuHv3LmJjY+Hr61vm/ufPn8fOnTsdTmhisVhw584d3Lt3Twg61v3m\\\n",
       "zZsHmUwGX19fNGjQAGFhYSguLsbdu3eh0+nQoEEDzJ49G40bN7Z7KOc4DgsWLMCnn34Ki8WCY8eO\\\n",
       "Yfv27Thw4ADUarXNvizLYu7cuSguLrbZnpOTg4SEBISFhcFoNNq9byUWi7FgwQJMnDhRCNocx0Gn\\\n",
       "00Gr1cJoNNpUPKVSabmfWWkP0kWXPDgKhIQQV0GBkBBCSIXxPI/i4mLMnz8fcXFx4DgON27cwJw5\\\n",
       "c5yGleLiYgwYMMDhLJklOZugxWKxCCGwtH///Rdbt27FDz/8gIEDB9oEvfT0dHz55ZfCuoA8z+PC\\\n",
       "hQto164dTp8+DZVKJeyblpaGo0eP2gVWlUqF2rVrC909nd1DgwYN8Oqrr9pUXUUikVAdLCwsBMMw\\\n",
       "cHNzK7eqSQghhDxK1OeEEEKIHZ7nYTKZUFxcDL1eL1THEhMT8fLLL2PhwoXIy8tDYWEh/v77bxiN\\\n",
       "Rofn0el06NixI1JTU6utrUajERMnTsTIkSOFCVwsFgu+/vproftnSQkJCejWrRtyc3NhsVig0+kQ\\\n",
       "FxdnV/0Ti8X45ptv0KhRI8hkMri7u8PLy8vhbJ9ffvmlw/GYIpEIMpkMmZmZOHnyJBITE6HVassM\\\n",
       "x9Z1BsuavZRUP5pllBDiKqhCSAghLqDkMgrlPbwaDAbcvHkTV69ehdlshoeHBywWC06cOIH169cj\\\n",
       "NTXV4cLopRUUFKB169a4efNmld6Lszbv27cPu3fvRpcuXXDv3j2sXr3a6Zp7p0+fRseOHfHaa69B\\\n",
       "o9Fgw4YNAO6HQIlEgqioKMybNw+DBg0S7k2pVKJTp044cuQILBYLgPuBr0ePHujatavTtslkMmRn\\\n",
       "Z2PJkiXIyMhAZGQkRowYgT59+sDDw8NmPCDLsigoKMCdO3fg5eWF8PDwhx7raWWxWFBUVARvb+8q\\\n",
       "OZ8rqK6gd/XqVTRp0sRue2FhITw9PavlmoQQ4gwFQkII+Y8zm824d+8ekpOToVKpEBkZCX9/f5uu\\\n",
       "izzPQ6/X49ixY1i4cCGuXLkiTHji6emJ3NxcpKamChW4klq0aAGZTGazjWVZTJ06Fbdu3Xok92it\\\n",
       "aP7444/QarXYtm0bMjMzy9z/2rVr+OCDDyCXy8GyLBQKBaKiojB37lz06tXLbm1FsViM1157DfHx\\\n",
       "8fj3338hlUrRv39/fPXVV2XO1mrtSnvu3Dnk5+fj8uXL2LdvHwYOHIjPP/8cQUFBEIlEQhg8cuQI\\\n",
       "Ll68iLZt2yIkJKRKAqFOp8PMmTOxZs2aMj8X8n+qcwxhyTBYp04d4e+JWq12+ksMQgipLhQICSHk\\\n",
       "P8xiseDMmTP4/PPP8e+//8JoNMLd3R2dO3dGu3btEBoaiqKiIhw4cADbtm1Denq6TfVLo9FALpdD\\\n",
       "p9M57BbKMAx69eplN36Q4zhcuXLloR9uGYap0DmsM29eu3YNX331FW7cuCHchzPWEGwwGCCRSBAZ\\\n",
       "GYnvvvsObdu2dTqLZ0hICHbs2IGsrCx4eXnBx8en3MAmEokQFRUFs9ksVFZ1Oh02b96Mxo0b4/XX\\\n",
       "X4e7uztYloXBYIBIJEJ4eDjq1KlT7uyjFcHzPObOnYtvvvmm3HGc5P88ikllSv5sU7dTQsjjQoGQ\\\n",
       "EEL+o3ieR1ZWFr7//nscO3YMGo0GLMsiMzMTSUlJ+Pnnn4X9OI6zC17WbSKRqMxQFhERYbdNIpHg\\\n",
       "9ddfx+uvv+6we2l5Ic/Pzw+jR4+Gn58fVqxYgaSkJKfHMAwDhUIBuVyOoqIipKWlQa/Xl3n+kqxj\\\n",
       "9iIjI9GiRYsyl3RgGAZeXl7w8vKq8PkBIDIyEqGhoSgsLBS2GY1GXLt2DRaLRVi/0MfHB23atAHD\\\n",
       "MPDx8Sl3eQmWZcHzvDDpjSNarRbfffcdhcFKepBAuG/fPkybNk3Y3rZtWwwfPtzpcUFBQcjIyKBu\\\n",
       "ooSQx4oCISGEPMHu3LkDhUIBT09PyOXySlURWJbF5cuXcfnyZej1emGikopW7RiGQa1atdCiRQvs\\\n",
       "27cP6enpdvtYq2yOjh0zZgy0Wi3mz58PnU4HT09PtG7dGk2aNMGNGzewZ88eaDQam/aIRCL07dsX\\\n",
       "v//+u7Be4KRJk9CyZUuHYxHFYjHCwsIQHh4Og8GAW7duOezWWhHNmjWz6yZaVRQKBRYuXIjBgwfD\\\n",
       "YDAAuD8ZTbNmzeDh4SFUGSUSibDWYUXCYEZGBoxGI0JDQ522/erVq06XyyDOPUggvHTpEi5duiRs\\\n",
       "X7p0qcNAePfuXYSHhyMzM9PmGtRdlBDyOFAgJISQJ1iPHj2gUqnQpUsXvP322wgNDa3wQ6p1tk2V\\\n",
       "SgWFQgGz2SxMLlMR3t7eWLlyJerXr48DBw5g5MiRduGP53lcuXIFPXr0sDteIpFg6tSpmDBhAgwG\\\n",
       "AxQKBWQyGUQiETiOQ0FBAb766iusXLkSWq0Wvr6++PLLL/H888/bdEH19PTEL7/8go4dO9rMvCkW\\\n",
       "izFs2DBMnz4dBoMB58+fxyeffOLw/kQiEdRqNTw8PJCbm4vi4mKb/RQKBYYNG1ZmCLNOyvMgGIZB\\\n",
       "7969sXDhQsybNw9GoxGdOnXCSy+9BIVCYXPeil7DaDTi0KFDSElJweDBg1GnTh2H7U9ISKCg8YhE\\\n",
       "R0ejW7duwtdt27Z1uF94eLjwZ09PT2g0GgAV7yJNCCFViQIhIYQ8wZKTkyESiZCSkgK5XI45c+ZU\\\n",
       "uIolkUjQqVMneHl5Ydu2bTh06BDu3LkDnU6H4uJimM1mp0sbqNVqXLp0CcHBwQCAQYMG4fDhw2jb\\\n",
       "tq3d2Ly///4bb775psMgwzAMlEqlUPWyEovF8PX1xbx58zBv3rxy76Vdu3aYPn06lixZAo7jEBAQ\\\n",
       "gKNHjyIqKkp4iG7VqhXOnj2L33//3aZ7pFgsRt++fREXFycsBp+fn4/4+HgcOXIEtWrVwssvvyzc\\\n",
       "a2kcx+HChQv46aef4OPjg3HjxiEiIqLcCl5pYrEYb7zxBiZNmgSWZSEWiyt9jtLtunLlCuLj45GR\\\n",
       "kYGPPvrI4WL3DRo0oKDxAB6kQtitWzcsWbKkwtegMYSEkCcBBUJCCHmCyeVySCQSBAQEICYmxuni\\\n",
       "744wDAOVSoUWLVogMDAQTZs2xYULF8BxHIKDg5GXl4eDBw/i8uXL0Ol04DgODMNArVZjy5YtCAoK\\\n",
       "sjlfixYt0LdvX2zevNlme1ZWVlXcarn3Mm/ePDz99NPIysrC8OHDbcKPdRzhRx99JARfjuMgFosR\\\n",
       "ExODpUuXIjAwUHjoDggIwIgRI/DSSy8JxzuTl5eHN954A+fOnQPHcVi5ciV+/PFH9OnT54ECnUgk\\\n",
       "eqggaKVQKNC0aVPs378fV69exdWrV9G+fXu7n5FmzZrB29sbeXl5D31NV/IoJpUhhJAnAQVCQgh5\\\n",
       "gnXp0gU+Pj7o0aMHnn322UovQcAwDORyOfz9/VGnTh1YLBaEh4ejXbt2wlIRZrMZWVlZuHr1KhiG\\\n",
       "QcuWLeHr62v3kCsSibBy5UocOHAABQUFNtsfBblcjiFDhgj35UhUVBS2bt2KJUuWIDU1FV26dMHo\\\n",
       "0aNtwmBJFXmQT0tLQ2JiIkwmE3ieR3p6OsaOHYujR4+ibt26D3dTD0EikaBjx444dOgQrl69iiNH\\\n",
       "jiAmJgZqtdpmPzc3N+zevRv9+/enJScq4VEEQoZhbJadIISQx4ECISGEPMG+++47KBQKqNXqh5rw\\\n",
       "xLrG4MmTJ9G2bVt07txZqCSJxWJEREQ4nC20NB8fH/z8888YMmSIMDtmy5YtH7hdlVXeg7dIJEKT\\\n",
       "Jk0QFxcnzL75sIHVzc3NZp1BnueRl5eH1atX46OPPnpkgdiRwMBADBs2DD/++COuX7+Oa9euoVWr\\\n",
       "VnZVwpYtW+LWrVvIyMh4TC2teaozEL777rtYsGABANiEwS1btlTqPIQQUhUe379ihBBCyhUREYGA\\\n",
       "gAC7iUcqw2Kx4O+//8aCBQuwZcsWfPbZZ5ValqG02NhYDBs2DEqlEr6+vnjjjTeeqC5z1iUcpFJp\\\n",
       "lYS14OBgYaH6kveZl5f32MflSSQSNG/eHE8//TQ0Go2wRqKjdikUCtSqVevRN7KGsgbCir4q44sv\\\n",
       "vhAmeCr56t+/fzXdDSGEOEeBkBBCnmAP8rBZmtFoxJ49e5CXlweTyYSCggKHS0hUlFgsxvDhw1Gr\\\n",
       "Vi20atXqPx8y5HI5unXrBrVaDZFIJATOoKCgJyIIy+VyBAcHg+M4JCYmIikpyelkQYQQQkhpFAgJ\\\n",
       "IaQGMxqNyMvLQ2FhoTDGrTSNRoN9+/YJy05YLBZMmTLlgUMDwzBo27YtPv30U3z77bd2Y9YeNY7j\\\n",
       "wLJstS28LpFIMHDgQMyaNQsNGjSAn58fmjZtimefffaRBMKSFSRHpFIpIiIiYDabcebMGXz66ae0\\\n",
       "1EQVqM4KISGEPEloDCEhhNRAHMfhwIEDePfdd5GWlgZvb28MGTIEkyZNQkBAgM0Dqkwmg9lstjn+\\\n",
       "yJEj0Ov1UKlUlb622WxGdnY2QkJCKrUuYlXjOA6pqalYvnw5kpOTERkZiSlTptjNjlqeiqwv6Obm\\\n",
       "hjFjxqBly5Y4f/48IiMjUbdu3Wq/d57nwbIsTCYTzGYzJBIJ5HI5xGKxsJQEz/MQiUQoLCxERkYG\\\n",
       "0tLS8Oqrr2LTpk2V/izI/6FZRgkhroICISGE1ECHDx9G//79hQXWMzIysHDhQuTn52PBggU2k6B4\\\n",
       "e3ujadOmOHz4sLDNYrHAZDJVKhDyPI+7d+9izpw5OHfuHHr27ImYmJgqva+KtsNiseDatWt4/fXX\\\n",
       "ce7cObAsC4lEgvT0dMTFxQkzqJZ3Hr1eD6PRCDc3N8hkMqcP9gzDwM3NDS1btkTjxo3B83yFJvkp\\\n",
       "Xd1jGKZS4xoZhgHLsrh79y5OnDiBvLw8NG7cGM2bN4eXlxfEYjEMBgPu3buHe/fuobi4GBzH4cyZ\\\n",
       "M3jzzTexZs2aSs9MS+6jQEgIcRX0rwQhhNQwJpMJM2bMEMIgcD94GAwG7Nq1C7Nnz7YJhBKJBCtX\\\n",
       "rkTz5s1RXFwMAAgKCqpUGOQ4DsuXL8dbb70Fo9EIAEhOTsbkyZMRGRlZhXdne02DwYDc3Fzk5+dD\\\n",
       "KpXCw8MDEokEeXl52LZtG9LS0sBxnNBt9PLlyygsLIS/v3+Z5+Z5Hvn5+Th69Cju3r2LZs2aoWXL\\\n",
       "ljafmyMSiQTu7u5Cd1vr2o2l281xHEwmE/R6PYqLi2GxWCASieDm5ga1Wl1m+HTU1tTUVOzYsQPX\\\n",
       "rl2DQqFAp06d8PzzzyM8PBx5eXnYunUrsrKyhG6zFosFW7duxfnz59G6desKXYfYokBICHEVFAgJ\\\n",
       "IaSG0el0NusAliSVSiGVSu22161bF3v37sVLL72EgoICbNq0qUJVNKtr165h6tSpMJlMwjaNRoOD\\\n",
       "Bw9i1KhRlb6H0kqOd7N2k8zLy8OuXbuwdu1a3Lt3D25ubmjevDm6dOmCiIgItGrVCgzD4NChQ0hN\\\n",
       "TYVYLEb79u1hMBjK7QZaVFSEVatWYcOGDdDpdGjWrBlmzZqFevXqlftwzzAMxGIxWJYVxnBevXoV\\\n",
       "J06cwJ07dwAAHh4e8PDwEL4XPM9DKpUiNDQULVu2RO3atcsNn6U/n/z8fGRkZMBoNOLevXu4cOEC\\\n",
       "YmJikJaWhvj4eBgMBptjjEYjpk+fjvj4+Epdi9xHgZAQ4iooEBJCSA1iXVtv6NCh+O6771BYWChU\\\n",
       "q9zd3TFx4kSHlT/rRDAJCQkwmUzw8PCo1HXXrl1rEwatbbly5cqD38z/x3GcMOGNtTul2WwWglZy\\\n",
       "cjLy8vIgl8sREhICf39/NGnSBG5ubujSpQumTp0KnU4HvV6PwsJCWCwW6PV6KJVKhw/qZrMZP/zw\\\n",
       "AxYuXIjCwkIwDIOcnBx07doVtWvXrnAXS4ZhUFBQgNmzZ2P9+vU2FVuJRAKVSgU/Pz94e3sLwVCt\\\n",
       "ViMxMRFDhgxBgwYNyq0UWs8nk8mE+zIYDNDpdMjLy8OpU6eE7Y4mkTl79ix27NiB2NhY4RcAFF4I\\\n",
       "IYSURIGQEEKeYKVnzrSOZfvf//6HIUOGYP/+/Thx4gR4nsegQYPQr18/u0XJS5LL5Q+0wL2Pj48w\\\n",
       "iUnJttSuXbvS5yqN53khEMpkMojFYshkMoSFhWH48OFQKpW4dOkS/Pz8MGzYMLRt2xZubm5CsJHJ\\\n",
       "ZHBzcwPP8/Dx8cHly5dx/vx5PPXUU4iIiLAbs3fnzh0sXrwYOTk5wv3k5ORg+/btGDlyZIUDofW8\\\n",
       "R44cgU6ns/lszGYzioqKYLFYoNVqIRKJYLFYAAA3b95Eeno6xo0bJ4RCi8UCo9EIiUQCNzc3YQ1F\\\n",
       "juOg1+uRlpaGzMxMGAwGWCwWYRyl0WgsczZRo9GIuXPnQiqVolmzZnBzc4Ofn1/FvzkujCqEhBBX\\\n",
       "QYGQEEKeYN988w1UKhXq1auH6OhoeHl5CePYoqOj0aRJE0ycOBE8z0MikVTJQuyOvPjii5g1axa0\\\n",
       "Wq2wzc3NDQMGDHjoczMMA6lUKqzvZ70Ha4hp3LgxDAYDxGIxFAqF08BmPc+uXbvwww8/QCqV4ssv\\\n",
       "v8SQIUOEc/I8j9OnT9uEQeD+mLsLFy7AYrFUKjB7eXnBw8PDYSizVj51Oh1YloXZbAbHccjPz0du\\\n",
       "bi6Sk5PRunVrGI1GnDp1CikpKeA4DpGRkRgwYICw9uHdu3exceNGpKSkCGHQqrylJTiOw82bN/HF\\\n",
       "F1/gmWeeQYMGDTB+/PgK39+TasqUKfDx8anWa1AgJIS4CgqEhBDyBJs9ezZkMhmaN2+OxYsXw9vb\\\n",
       "2+Z9kUhUbSGwpMDAQGzduhUjRoxAXl4ePDw88OOPPyIwMPChzy0SiYRAWPrBWiQSVaqqybIsNm7c\\\n",
       "iMzMTPA8j3HjxqFFixaoV6+esE96errDNRjz8/MrvTajQqHASy+9hPPnzztcB5HjOBiNRlgsFuHc\\\n",
       "LMuioKAAx44dw/nz52E0GqHX64X309PTcebMGcTFxSE6Oho6nQ7nzp2z6ZJaGQaDAZcvX0ZeXh6u\\\n",
       "XbtW6eNdFQVCQoiroEBISA2XnJyMw4cPIyUlBcXFxfD390eLFi3Qrl07mkjiP6C4uBgmkwn5+flw\\\n",
       "d3d/JOHPEYZh0KVLF9y8eRP5+fnw9PSEu7t7lT0IV9V9mc1m3LlzRwhOOp0Os2fPxm+//QaxWCzM\\\n",
       "xuooWFkrlJXBMAxGjx6NRYsWITU11e59nueFWUdLss6gau3yWbrqZ72P7OxsAHA6RrAiWJaFVqvF\\\n",
       "nTt3UFRU9EDncFUU9AghroACISE11OrVq7F06VKcOXMGgYGBCAkJgVKpRF5eHm7dugWFQoERI0bg\\\n",
       "vffeq7ZlAUj1a9iwISIiIvDBBx8gIiKiSs5psVhgsVgglUrLHG9YmnX8opubW5W0ozqYzWa72TZ3\\\n",
       "796NoqIiqNVqsCyLs2fPOgxXzzzzzAP9EsXHxwfbt29Hly5dUFhYaHNuR2HQqnQQLM06ftD654fB\\\n",
       "sqww8Q6pGKoQEkJcBQVCQmqgFi1aQCaTYcyYMdi4cSPCw8Nt3jcajTh+/DjWrVuHVq1aYdmyZRg6\\\n",
       "dOhjai15GKtXr4aPjw8CAwPLDG/WSpRIJHL6cMrzPG7evIl3330Xt2/fRmxsLMaPH4+wsDBIJJL/\\\n",
       "xEOtowBmNBqRlZUFd3d3FBQU4OzZs3bHMQyDyZMn230G1tBWXgUzODgYPj4+KCwstDv2YTzs8aU9\\\n",
       "bLAkhBDy30OBkJAa6PPPP0fv3r2dvi+Xy9GlSxd06dIFn376KW7fvv3oGkeqVJMmTcAwTLmBxGg0\\\n",
       "orCwECqVCiqVymG4u3z5Mjp37oyCggLwPI9Lly5h9erVeOeddzB48GD4+vo6XMPwUShv3cCKKj3b\\\n",
       "J3A/BN26dQt+fn44fvw4MjIy7I6TyWR4+umn7bbfvHkTKSkpaN68OXx9fR22ked5XL16FdnZ2VUe\\\n",
       "4ErP7FqaSCSCWCy2m2yGPDyqEBJCXMXjGYxCCHkoZYXB0nx9fdGyZctqbA2pTmVV/KysSxAUFhai\\\n",
       "uLjYYRWIZVn89ttvNl0aWZZFeno61q1bh1OnTqGoqMjhxCiPQlVU04D7C847Ok9ubi40Gg0uX74s\\\n",
       "LP9Qklwuh1KptNnGcRx+/fVXLF68GLt374bZbHZ4TbPZjD///LNaumOWF0o8PDwQGRlJ44WrgfWz\\\n",
       "r+iLEEJqKqoQEvIfkZWVhaysLLswEBMT85haRKpCRR40rcstuLu7CxOnlHbnzh0sX77c7ufDZDLh\\\n",
       "/PnzWLRoEfLy8tCrV69yu6dWNbPZjJycHLi5ucHT07PMLq/WSqKzSt3hw4ft7p9hGGRkZCApKQmH\\\n",
       "Dx92GJjDwsKEhdut7t69i4ULF8JsNuPgwYO4evUqPvzwQygUCqFyV1hYiIkTJ+LPP/90GDQfhlgs\\\n",
       "hlKphNFodNjmOnXqYOPGjQgLC8PevXsxZsyYMkOp9TOjSmLFUIWQEOIqKBASUsOdPXsWo0ePRkJC\\\n",
       "gvCgZ31YZRjmsVV8yKMll8uFJSBKdy9lWRZHjx4tMywUFxcjKSkJSUlJUKlUZQazqsRxHE6cOIEv\\\n",
       "v/wSoaGhmDVrFoKCgmz24XkeOTk5WLNmDRISEtC2bVs899xz8PX1FYKrddbO1atX2wUemUwGpVIJ\\\n",
       "k8kEk8nksB3t2rWzuV+O4/Dpp5/CaDQCuP/5fPHFF4iPj8err74Kb29v7NixAxs3boRGo6l0yBKL\\\n",
       "xcJi9Y6OlUgkqFu3LurUqYNLly4hNTXV5u9yYGAg9u7di4iICDAMgyFDhiA/Px9vvPGGTTCVSqXw\\\n",
       "8fGBn58fOI6DTqfDnTt3KtVWV0WBkBDiKigQElLDjRs3DvXr18fKlSsRGBhIDyYuzFlVj+M4WCwW\\\n",
       "KJVKmM1mIYCIRCKo1Wq0b98ezz33HBo2bAh3d3dotVooFIoKrf1XXtWuPHfu3MHYsWORkpICsViM\\\n",
       "5ORk/P777/Dx8RF+sZGSkoIBAwbg6tWrYFkWK1asgK+vL1555RWMHTsWvr6+yM7OxvHjx3Hp0iW7\\\n",
       "awQFBaFVq1bw9/dHu3btcOzYMZuZSMViMTp06GDTfoPBgB07dticx2Kx4NSpUzhz5sxDdXFVq9V4\\\n",
       "8803ERMTg23btuGvv/4Sxj5aZ3IdOXIk3njjDXh6euLUqVOYO3cuEhMTwbIsgoKCsHHjRiEMAve/\\\n",
       "l+PGjcPVq1exatUqsCyLOnXq4KOPPkKXLl2gUqkA3K8Il17LkjhGgZAQ4iooEBJSwyUlJWHjxo2o\\\n",
       "W7fu424KeYI1bNgQ7du3x9mzZ2E0GhEREYGhQ4di6NChCA0NhVQqFZY50Gq1KCgogI+PT5mTzGi1\\\n",
       "Wmzbtg3//vsvmjdvju7du8Pb29smmFq7Ojp6uDYYDHj77bdx+/ZtsCwLi8WCgwcP4ssvv8S0adOg\\\n",
       "UqmQkpKCsWPH4vLlyzYLu2dlZWHhwoVYvXo16tati6ysLGRkZECn09lcQyqVYvz48YiOjhb+HB8f\\\n",
       "j7Nnz4JlWTAMA5VKZbNwPXC/Iuhszb6HmalTLBZjwYIFGDduHMRiMQYNGoQvv/wSa9aswb59+xAe\\\n",
       "Ho5XXnkFjRo1ErqwhoSEoF27djh06BC0Wi169eqF8PBwu89TKpXis88+Q2xsLHieR5s2baBWq232\\\n",
       "c3Nz+090GV20aBG0Wm21XoMCISHEVVAgJKSG6969Oy5evEiBkDglEokQHh6O8ePHo1u3bggKCkLf\\\n",
       "vn3h6elp072U53lIJBLk5ubiypUrqF27NurWretwsXaNRoNu3brh4sWL4DgOYrEYderUwcyZM9G1\\\n",
       "a1fIZDJkZGTg2LFjuHv3Llq1aoWOHTsKAcVisWDr1q34559/bLpCms1mbN26FVKpFAzD4M8//8T1\\\n",
       "69cdhjCz2Yy7d+/i3r17QsWuZNhhGAaNGzfGK6+8IqydGBERgSVLlmDEiBHCQvIhISF2VTOxWAxP\\\n",
       "T09oNJqH+/BLkcvlGDRokPCZMgwDf39/TJ06FVOmTAFg3+VXIpEgNDQUw4cPL3cJDDc3N3Tr1g0i\\\n",
       "kajcmWkJIYQQgAIhITXeihUrMHr0aFy+fBlNmza1q+j079//MbWMPCkYhoFCoUBUVBQiIiIQERFh\\\n",
       "Vzmy7icSiXD37l388MMPUCqVeO+999CsWTObcMFxHN555x2cO3dOCGAcx+HGjRuYNm0annrqKVgs\\\n",
       "Fly+fBl5eXlCYAwODsb48ePRsWNHJCQk4PPPP0dxcbFNG8RiMYqLi7Fp0yakp6cjPz+/zIpcWe+5\\\n",
       "u7vj559/hlqttjl/q1atMHfuXCxcuBBFRUVo3bo1VCqVzdIXKpUKI0eOxIIFCypcERSLxcISEM6O\\\n",
       "USqVcHd3d/heeQGuIhUrhmEcBnhSeVQhJIS4CvpXg5Aa7vjx4zh69Ch27txp9x5NKkOsioqKcPLk\\\n",
       "SRQVFaFr164ICAhwuJ/JZMLs2bNx8uRJ8DyPffv2YdOmTWjfvr3w0JuUlISff/7Z4Xp/ubm52L9/\\\n",
       "P1iWtQlFHMfhzp07mD17trCUBsdxNueQSqXw9/eHQqFASkoKtFrtA3dvVCgU2LNnD5o3b273nlQq\\\n",
       "xdChQ9G4cWMkJiYiMjLSrkIolUoxe/ZsBAUFYd26dUhMTIRGo7FbesJa4fv555/RtWtXSCQSZGdn\\\n",
       "o3PnzkhMTLS7dpMmTexmMyVPJgqEhBBXQf1JCKnhpkyZgpEjRyI9PR0cx9m8KAwS4H5X0KSkJPz+\\\n",
       "+++Ii4vDZ5995nRNvezsbFy4cAEWiwUsyyI3NxezZ88WKnkcx+HSpUtl/myVDoOlWX82S4c9kUgE\\\n",
       "mUwGi8UCk8lUZhgs62GdYRj07t0bTz31lNPjpVIp6tati44dO6J+/foO1/GTSqUYMWIEli5divfe\\\n",
       "ew8tW7aEu7u7EGilUinatWuHf//9F88++ywUCgUkEgmCg4Px119/2VXrRSIR3n777WrpysnzfLmf\\\n",
       "O6kcWoeQEOIqqEJISA2Xm5uLt956S1hygJDSWJbF5s2bcf78eZhMJqSlpeHmzZto3Lix3b4XLlyw\\\n",
       "WZ6C4zicOXMGaWlpqFOnDgDAaDQ6DWsPM2GJxWJBYWGhMMGNMwzDQCaTQSwWw2g02oVTd3d3LFmy\\\n",
       "pMyukwzDQKlUQiaTCePteJ4XrmsNWHK5HFFRUfDy8kJkZCQ2btyIixcvQiqVYtSoUZg0aZIwg2dJ\\\n",
       "jRs3RmxsLLZs2SJ8Jo0bN0avXr0e5KMpl3UmWeouWnWoQkgIcRX0LwchNdygQYOwf/9+4WGdkNJ0\\\n",
       "Oh22bNkiBD2WZbFw4UKsXLnSrlr177//2oUxg8GAoqIi4aE3KioKIpHIaZXQulyEM84WSGdZFlqt\\\n",
       "Fm5ubmVW0SQSCSIjI1GrVi3cvn0bd+7cESqKcrkcH3zwASIiIpweb712yYlXOI6D2WyGTqdDQUEB\\\n",
       "ioqKwHEcPD094ebmBk9PTzz99NOoVasW9Ho9IiIiEB4e7jSAiUQi/PrrrxgyZAjOnDmD+vXrY9Om\\\n",
       "TQ4rkVWBYRhhbUNn92s2m2GxWIQJdkjZKBASQlwFBUJCarj69etjxowZOHLkiDC1fklvvvnmY2oZ\\\n",
       "eVIkJCQgIyPDZtuOHTtgMpnsAkpBQYHd8VKpFEFBQcJDb61atSCVSh0GQus+jkIhwzBwd3eHp6cn\\\n",
       "cnNzbdYCtLKuk+jm5gaz2eywUigWi9GmTRuMHDkSHMfh0KFDOHXqFHiex/PPP4/x48eXGShLj13k\\\n",
       "eR5GoxGXL1/GTz/9hGPHjqGoqAju7u6IjY1Fjx49UL9+fXh4eMDX1xcymQwymazcEODh4YHt27dD\\\n",
       "p9MJ1cjqUtasolqtFitXrsSqVauQnp6OzMzMamsHIYSQmocCISE13IoVK+Du7o6DBw/i4MGDNu8x\\\n",
       "DEOBsIY7ffo0ZDIZ1Go1fHx8oFKpnC5A7wjHcdi+fbvdmMGCggIUFBQgKCjIZrvFYrE7R8uWLeHv\\\n",
       "7y987eHhATc3N4eBDoBN90tr8JLJZOjYsSOmTp0KrVaLmTNnIikpye5YnuchFosRFRWFlJQU5OTk\\\n",
       "OJy8xtPTE02aNIG3tzc6duwIs9kMkUgENze3MrtNsiwLs9ksVNSsS2Bcv34d77zzDs6cOQOTySTc\\\n",
       "h0ajQX5+Pl5++WU0bdpUGCdY0YqQRCKxmeX0UeM4Dr/99htmzJhh0xWYlI8qhIQQV0GTyhBSwyUn\\\n",
       "Jzt9OXrgfhDfffcdatWqBYVCgTZt2uDUqVNl7r9hwwY0bNgQCoUC0dHR2LFjh837PM9j1qxZCA4O\\\n",
       "hlKpRI8ePRzOyFgRJdefc/RKSUmp9OQQT9Krbdu2eOqpp1CvXj2EhYWhd+/eOHnypNBF0hq89Ho9\\\n",
       "8vLyUFxcbDMOTq/XC9WzkqzLQpRknQm0JDc3N3z77bc2lWeJRFLm0gkSiUQIW9bxft27d8dPP/2E\\\n",
       "Xr16oWfPnqhXr57Dh2ie5yGVStG/f3+8+uqr8PX1tdvHbDbj0qVLYBgGcrkcbm5u8PLygqenZ5lh\\\n",
       "0DpGsaCgQBh7aLFYkJOTg8WLF+PUqVPC+EjrGMKcnBycPHkSFy5cgMFgECaUqSl4nsfx48dhNBof\\\n",
       "d1NqnP/CpDL37t17YttGCHlyUCAk5D8qPT0dCxYseOjzrF+/HtOnT8fs2bNx7tw5NGvWDL1790ZW\\\n",
       "VpbD/Y8dO4YXX3wR48ePx/nz5zFw4EAMHDjQJnwsWLAAX3/9NeLi4nDy5EmoVCr07t3bacXJlVln\\\n",
       "jLVYLCgqKsLevXvRs2dPfPLJJ0hLS4NWq0VWVhb27duHpUuXYtWqVbhx4wZ0Oh2MRiNSU1Nx+/Zt\\\n",
       "u/PyPI+4uDjodDohVF67dg3Hjh0THiDFYjHGjBmDhg0b2h2vVCrttolEIigUCqFKZ31QlkqlePrp\\\n",
       "p+Hr6wupVAqlUgkfHx+n9yyTydCjRw9MnDgR7733HuRyuV3bL168iISEBJu1A8tiNBpx584dXLp0\\\n",
       "Cenp6TAYDDCbzdBqtfjnn38cVlGB+xXFoqIi3L59u0ZW2EQiEdq2bUuL1D+A/0IgDAsLe9xNIITU\\\n",
       "ANRllJAabty4cQ63p6Sk4NSpU3j33Xcf6vyLFy/Gq6++irFjxwIA4uLisH37dvz00094//337fZf\\\n",
       "unQp+vTpg//9738AgE8++QTx8fH49ttvERcXB57nsWTJEsycORMDBgwAAPz6668IDAzE5s2bMXz4\\\n",
       "8IdqrysoKirCkiVLkJ2djdjYWOTk5GDbtm24dOkSAGDfvn144YUXEBUVhQMHDjgM7zzPY9euXXjh\\\n",
       "hRfQsmVLXLlyBfv27UNhYaEQsry8vPDqq6/adVFlWVYYQ2fdVyKRwMfHB2FhYTCZTEhJSYHBYBDG\\\n",
       "5508eRI6nQ4ymQwsy8LT09PpxDRyuRyRkZHw9/fH6NGjsWnTJhw7dszuM5g/fz5iYmLg5+fn9IHc\\\n",
       "WiU9c+YM9uzZA47j0KZNG/j4+IBhGNy6dQvLli2DRqNxeLxYLBbG/z3JD/7OMAyDYcOGYdGiRUhO\\\n",
       "Tn6oWWBdzX+py2h5Ez0RQlwbBUJCarj8/Hybr1mWRVJSEhISErBs2bKHOrfJZMLZs2cxY8YMYZtI\\\n",
       "JEKPHj1w/Phxh8ccP34c06dPt9nWu3dvbN68GcD9Lq4ZGRno0aOH8L5arUabNm1w/PhxCoQVpNPp\\\n",
       "sGHDBly/fh0WiwU3b95EQUEBeJ5HVlYWEhISEBgYiFu3bkGr1To9x44dO7Bjxw6HD4tubm5C98mS\\\n",
       "D7xGoxGenp7C8hBqtRrPPPMM+vTpAy8vLxw9ehTr168XjrVYLDh27BgOHDiAXr16geM4REdHw83N\\\n",
       "DUVFRXbX9ff3F7p/ent7Y9KkSTh16pTN+EaO43D48GEsWbIEH374ocOZM3meR2FhIVavXo1Vq1Yh\\\n",
       "Ozsb/v7+EIlEUKvVYBgGP/30E65cueL0YVkqlSIwMBCRkZFQqVRP/IO/I76+vvj111/x0ksvIS0t\\\n",
       "7XE3p8b4LwVCwL6NFBAJIVYUCAmp4TZt2uRw+6efforNmzdjwoQJD3zunJwcsCxrt8ZhYGAgrl27\\\n",
       "5vCYjIwMh/tbZ7m0/resfRwxGo0246CcVXRcBc/z0Gq1uH79OhiGgUajEWbo5DgO9+7dQ3Z2NrRa\\\n",
       "bZlr+pX1UGgwGJCUlIQmTZoIM2Raly/w8fGBm5sbxGIx2rZti/Hjx6NRo0awWCzIzc21m+3WYDDg\\\n",
       "3Llz6NixI+RyOerVq4fg4GBotVqbNjAMg+DgYGEsoEgkQv369YUF60sym83Yvn07XnnlFdSqVcvu\\\n",
       "gZdlWSQkJGDt2rW4efMmLBYLLBYLrl69iqCgIBQVFeHEiRMOu4qWbI9cLhcCcE3EMAxiYmIwZMgQ\\\n",
       "rFmz5nE3hzxi1r9fs2bNwoIFC2g8KSHEDg0qIOQ/6sUXX8SBAwcedzOqzPz586FWq4VXeHj4427S\\\n",
       "Y2cymZCZmYmMjAzo9XqwLCusp6fVap0u7VAR1uravHnzsGnTJuTn58NsNsNsNsNkMuHZZ5/FyJEj\\\n",
       "8c033+CXX37Bc889h9q1a6N27dro0KGD3cyaZrMZe/bsQV5eHmQyGdq0aYPly5ejWbNmNl1SZTIZ\\\n",
       "BgwYAKlUKlRo6tSpg8jISIdtvHz5Mt5//30UFRXZdD9lWRZXrlzBK6+8ghMnTkCj0aC4uBhZWVnY\\\n",
       "s2cPPv/8c3z++ee4ceNGmYHZaDQiIyMDOp3O6eyu1iqowWCAXq8XfnlhMBiEyWseNw8PD8yfPx9H\\\n",
       "jx593E2pUWri+EFnbXrttdeEbtxUHSSElEQVQkL+oy5evIgWLVo81Dn8/PwgFovt1i3LzMy0W67A\\\n",
       "KigoqMz9rf/NzMxEcHCwzT7Nmzd32pYZM2bYdEXVaDRYsWJFpe7nv8hZmKmKBz6z2YwrV65g0qRJ\\\n",
       "6NSpEyZPnozGjRtDLBbj2WefxfPPPw9vb2+bNfkYhkFAQIDdpDE8zyM3Nxcsy0Iul0MsFuOZZ57B\\\n",
       "rl278Nlnn2HNmjUwmUxo1qwZOnToYHM+Nzc3dO/eHTdu3LALVyzLYtu2bdi6dSu6d++OgIAAAEBe\\\n",
       "Xh5mzpyJ69ev2xxjsVig0Wig0Wgq9BmZTCZcv34da9euRdeuXeHp6Wl3Xzk5OdiyZQuOHz8Os9kM\\\n",
       "pVIpzPzq5uaG1q1b47nnnkNwcHCVT+5ivYeKhBKZTIbatWtX6fX/y2pyl1E/Pz8A99epvXHjBgAI\\\n",
       "v0SjMEgIKY0CISE1XOnxesD9cLVlyxbExsbavL948eJKnVsmk6Fly5bYu3cvBg4cCOB+ANm7dy/e\\\n",
       "eOMNh8e0a9cOe/fuxbRp04Rt8fHxaNeuHQAgKioKQUFB2Lt3rxAANRoNTp48iYkTJzpti1wut5tt\\\n",
       "klQva/fQ/Px87NixA1lZWViwYAGaNm0KLy8vm+UlSmJZVtheOrBIJBJhEXWRSISAgAB89tln6Nq1\\\n",
       "K44fP44WLVoIE75YWcPjqlWroNPp7Nqp1+sxa9YsXLhwAdOmTYNEIsHatWuxf/9+h9W5yjwQ8zwP\\\n",
       "g8GAY8eO4bvvvsMXX3xh83Oo0Wjw0UcfYf369SguLhbaW/I669evx/Lly/H555+jc+fOZS6N8SAq\\\n",
       "OtMqqZyaHAhDQ0MBAImJiYiKikJycjLUajUKCwsfc8sIIU8iCoSE1HDnz593uL1169bIysoSZph8\\\n",
       "0AeW6dOnY/To0WjVqhWefvppLFmyBDqdTph1dNSoUQgNDcX8+fMBAFOnTkXnzp2xaNEixMbGYt26\\\n",
       "dThz5gyWL18utGPatGmYN28e6tWrh6ioKHz00UcICQkRQid5/EqGOWswTEhIQGZmJp566imhS6f1\\\n",
       "fev+RqMRiYmJDmc2lUqldgHSWgHs1KkT/Pz8IJFIhK6v1moaz/Pw9vaGQqFwGAiB+7PqxsXF4dq1\\\n",
       "a/Dy8kJ8fLwQ0KqCyWTCqlWrMHbsWERHRwszpB49ehTr1q2zqTiWDBLWz+T8+fMYOnQoPvnkE0yY\\\n",
       "MKFKQyFVfKpHTQ6EFy9exKRJkwAA2dnZAICAgAAKhIQQhygQElLD7d+/v1rP/8ILLyA7OxuzZs1C\\\n",
       "RkYGmjdvjl27dgmTwty5c8emG1z79u2xZs0azJw5Ex988AHq1auHzZs3o2nTpsI+7777LnQ6HV57\\\n",
       "7TUUFBSgQ4cO2LVrFxQKRaXbV96DWGRkZI1+YBaJRI+8/aUDjfW/BoNBCGTWcXMmk0kIcEVFRbh4\\\n",
       "8SKWL1+O1NRUu8liyqrwikQiYbyeSqUS1itkGAZms7ncB1mO46DT6bBr1y4wDAOWZav8cysqKsLS\\\n",
       "pUuxbNkyyGQyGAwGrFq1CkVFRTbXKn1d6yL3+fn5mD59OgoKCvD+++87HZNYWU9aGPmvqMmBEAC+\\\n",
       "//57ABD+ziYmJj7O5hBCnmAUCAkh5XrjjTecdhF1NHHN0KFDMXToUKfnYxgGc+fOxdy5c6uqif9Z\\\n",
       "zz33HPLz85GcnIycnJwyZ8SsKqXDoBXHcUhPT4der4fZbEZSUhL+/PNPnD17FhqNBvn5+cjJybGZ\\\n",
       "8bQkvV6P/Px8m+qf9TparRb//vsvbt26hczMTIhEIoSFhUEikUCj0SA1NbXMyV+sqnMCF57nsXfv\\\n",
       "XhQUFMDX1xcajQZnz5512i5Ha7+ZTCbMmTMHYWFhGDVqVJnrJz6JIcOV1NRAWPJnZ/Dgwdi4ceMT\\\n",
       "1T5CyJOHAiEhNVCfPn3w8ccfo23btmXuV1RUhGXLlsHd3R2TJ09+RK0jVWndunUwm81ITU3Fjz/+\\\n",
       "iF9//VVYPL6yKrI4dVn7cByH/fv3o3bt2sjLy8Py5ctx9epVmEwmYeZCZ8fyPI/MzEzs3LkTTZo0\\\n",
       "gbu7u/CQyrIs8vLycP36dSQkJCA3NxcymQytW7eGWq1GVlaWsKj6415gOz8/H7m5ufD29obFYnE6\\\n",
       "hT/P8zZdXksym814/fXXERISgh49ejgcg2mxWCCVSis0CQ097JPSSv7MnThxQhjDfeXKlcfVJELI\\\n",
       "E4wCISE10NChQzF48GCo1Wr069cPrVq1QkhICBQKBfLz83H16lUcOXIEO3bsQGxsLBYuXPi4m0we\\\n",
       "kEqlAnB/2YAPP/wQ7u7u+Pbbb+26KZZHLBZDKpXCbDaXW0Vzdl7rmLl///0XRUVF0Ol0FaraWc+p\\\n",
       "0+mwYsUKtGvXDt26dRPW9eM4DizLwmQyQaPRwGAwQC6Xw2w2IygoCFlZWbhz506F77U6mc1mGI1G\\\n",
       "iEQieHp6IjQ01Oli7wzDQCwWO6yWGgwGDBs2TJhcqWR4ZFkWZrMZYrG43EBIYbD61NQKYWlt27at\\\n",
       "0d3mCSHVjwIhITXQ+PHjMXLkSGzYsEGYwdA6xophGDRu3Bi9e/fG6dOn0ahRo8fcWvIwrA+aYrEY\\\n",
       "Xl5eeOmll3DlyhUcOHBACGQlx/k5IpFI4OPjA19fX6SmpjoNk+VV3ziOg1artVtMvqJ4nkd6ejre\\\n",
       "eecdrFmzBg0bNhQmmVGr1QgICBCWp7h8+TKKi4vh7+8PvV6PjIyMCrWxulmrd2KxGCqVCuPHjy+z\\\n",
       "26i7uztMJhN0Op1duwsLCzFhwgTs2LEDvr6+Nt9ruVxe5UtUkMr5rwRCQggpDwVCQmoouVyOkSNH\\\n",
       "YuTIkQDuP1zq9Xr4+voKlRdS85UMe9Y1/gYNGgS9Xo+UlBSYTCZYLBbodDrodDpYLBYhnIhEIshk\\\n",
       "MgQHB6N9+/bw8/NDfHw8rl27ZlMltFayrNWpirTnYe7n2rVr+PTTT7F06VIhCKlUKvj4+AgTyGi1\\\n",
       "WhQVFcHb2xsSiQRFRUVCxayiVcnqwLIs7ty5g1atWkEsFqNfv3547733HE56w/M8AgICEBQUhDNn\\\n",
       "zkCr1dq9b+0m2759e2HmUet9lhcyKrMGIak8CoSEEFdBgZCQ/wi1Wg21Wv24m0GqmFarBcMwwjIH\\\n",
       "RqMRISEh6Ny5M9LT0yGTySCVSpGRkYGrV68iNTUVBoNBqAo2atQIHTp0QKNGjaDX63Hz5k3cunVL\\\n",
       "CH4ikQju7u5QqVTIz8+v1klZrFiWxc6dO9GrVy8MGTIEMplMCIIFBQVCNU2v10Or1UKlUkEsFkOp\\\n",
       "VMJoNKK4uLhaQ6FMJoOXlxcMBgM0Go3NexzH4ZdffkHfvn0hl8vh6emJ2rVrO1z+heM4yGQydOzY\\\n",
       "EcXFxThz5oxdu81ms7AsQEllBQye54XKsPVno+R2AA7XhySVQ4GQEOIqKBASQsgTLCwsDFKpFEFB\\\n",
       "QYiJiUHdunUhFouh0WiEcXcWiwXA/XXGfH19ERERgWeeeQbR0dHw9fWFRCKBXq/HqVOnkJKSApZl\\\n",
       "wTAMJBIJYmJi8Pbbb0MqlWLu3Lm4fPlypauADMNAJpNBpVLBZDJVKLAVFRVhypQp2L17N/r06YPE\\\n",
       "xESsW7cO2dnZwv2YTCYYDAYYDAYEBwejYcOG4HkeN27cQHp6urBfRUkkEgQGBqJ169bw8fHBuXPn\\\n",
       "kJCQIEwMwzAMfH198dNPP6Fbt24AgCFDhuCff/6x+Uy2b9+Ovn37YuHChSguLobJZHJ4PZ7nkZyc\\\n",
       "jLNnz8JgMDgMDSzLIj09vdzPnOd5FBcX48qVKzh37hw4jkOjRo3QsGFDeHh4wGKx4MaNG1i5ciWy\\\n",
       "s7MxadIkdO3atcqWtnBF1R0IW7ZsiXPnztlsUygU0Ov1lT4XIYQ8DAqEhBDyBLNWqPLy8nD79m2E\\\n",
       "hoYiMDAQBoMB+fn50Ol0Qii0jsULCQlBgwYNEBkZKVTfsrKysGPHDty6dUtYuoLneahUKoSGhkIi\\\n",
       "kcDDw+OB2iiVShEREYHAwECkpaXh3r17TkNSSXq9Hn/99Rfi4+OFSWcsFotNN1mLxQKDwQAAqF27\\\n",
       "NmrXro3Q0FDs2LEDubm5FZo1VSQSwcPDA88//zxmzZqF0NBQiEQimEwmHDx4EFOmTMG9e/cglUox\\\n",
       "fPhwdO/eHW5ubgCAP//8Ex06dMCFCxeEc/I8j/379+OFF15A3bp1kZOT43Rso16vx8mTJ6HX6x2G\\\n",
       "ZI7jcOrUKYwcORJqtdphsLDO0PrRRx/h77//hlarhVQqRVRUFIYNG4aOHTtCq9Vi9erV2Llzp/D9\\\n",
       "tc7SSp48o0ePFsKgXC5HaGgokpOT4e/v/5hbRghxRRQICSGkBrAuDJ+XlweO45Cfnw+NRmMToID7\\\n",
       "XUxPnz6N0aNHQyaTQSKRwGg04vz584iPj7epPlgsFpw/fx5xcXFwc3PDtWvXKl0dFIlE8Pf3R0xM\\\n",
       "DEQiEXJycoTuihU5l8ViQX5+fpn3bV343t/fH40bN0ZQUBDu3buHo0ePOlz2wTqjqkKhgEwmg1qt\\\n",
       "Rq9evTBjxgyEhIQIoUupVKJ3797Ys2cPvvjiC2RmZmLYsGFQKBTCuVQqFXbu3IkGDRrYdB/lOA7J\\\n",
       "ycnQaDTCuoqOuttyHOfw+1Ty/ePHj+Pw4cPo1KkT3N3dhfGD1nu/du0axo4diwsXLthURTUaDe7d\\\n",
       "u4dDhw5BLpfj/PnzKCoqAsMwSE9Ph0ajgYeHhzDu0mAwIDU1FfXr1y/3+/KkmzJlCnx8fKr1GtVZ\\\n",
       "Ifz1118BPPyYXEIIqQoUCAkhpIZgGAaenp5QKpVIS0tzGDIsFguSkpJw48YNNGvWDCKRCLm5udiw\\\n",
       "YQNycnLs9i8qKsIff/wBkUhU6S6YwP1QZe3KmpycLFTzqnI2UGv3Vnd3d/j6+kKtVqNTp064e/cu\\\n",
       "UlNTwbIs5HI53NzcEBkZicaNGyMqKgoMw6CgoAAA0LNnT/j5+dk9uDMMg4iICHz00Ue4ePEiwsPD\\\n",
       "7a4fGBiIuLg4jBo1yuYz4jgODMMgMjJSCMMlQ6FIJIJEIrGZCdaRjIwMzJkzB40aNUJ4eDh8fHwg\\\n",
       "l8uRlZWFw4cP4+zZsw5nKWVZFtnZ2Thw4ADc3NxgNBrB8zykUqlQabLOinrv3j188skn2LVrV6U/\\\n",
       "f1f1KMYQlj6OAiIh5HGgQEhIDTd69GiMHz8enTp1etxNIdVMoVCgc+fOMBqNuHXrltOHR71ej+3b\\\n",
       "t+OZZ56BUqnEpk2bcOTIEacTxrAs+0CTyYhEIkRFReG5556Dl5cXcnNzAfxfhc46yYn1VRnWrp5S\\\n",
       "qRTe3t6IiopCREQE1Go1RCIR2rRpA57nodFo0Lx5c3Tq1AlqtRpKpVKoiBUXF+POnTtISkpCQECA\\\n",
       "02UcGIaBv78/mjRpApFIZPe5MgyDIUOGYNOmTfjrr7+EMZgymQzR0dEYOnQoDAYD4uPjheUylEol\\\n",
       "QkNDYTQace3aNbsZRksym824evUq/v33X7AsW+4yIiVZJ98xmUw2n1lYWJgQ8q0/D//88w9ycnIq\\\n",
       "8V1wbQ8SCPft24dp06YJ29u2bYvhw4eXeaxKpYJOpxPOQ6GQEPKoUSAkpIYrLCxEjx49EBkZibFj\\\n",
       "x2L06NEIDQ193M0i1cDLywvdunVDVlYWtm3b5nQ/juNw5MgRLF68GGazWRh3VtU8PDwwfvx49O3b\\\n",
       "FxzHwWKx4Nq1azCZTBCLxQgNDUVkZCQ4jhNmN9VqtWWGQ5FIBKVSCT8/P0RERKB27dpo2LAhmjVr\\\n",
       "hvr168PLyws8z8Pd3R1169aFj48P1Gq1w8lTZDIZxGIxDAaD0O3UGbFYDA8PD+Tn5wuLwpcklUoR\\\n",
       "FxcHs9mMgwcPAgCaNGmCiRMnon379lAqlRg5cqSwCL1UKoVIJEJGRgbeeust7N692+76DMNALpdD\\\n",
       "JpNBr9cLY/8qyzrW0hoIDQYDUlJSkJubK6yDKJFI4OXlJXRfJeV7kEB46dIlXLp0Sdi+dOnSMgNh\\\n",
       "yfBHM5USQh4XCoSE1HCbN29GdnY2fvvtN/zyyy+YPXs2evTogfHjx2PAgAG0JuF/iEgkEsbFlUer\\\n",
       "1eLAgQPQ6/UoLCx84KqD9aHYUZgJCgoS1jfkOA5NmzYVlrfw8PBAt27d0LFjR3h6eiI9PR2bNm3C\\\n",
       "pk2bkJ+f77A9DMNAoVCgdu3a6Nq1K9q2bYuIiAgh9Lm7u0MqlYLjOGESHOuSFM4+L5lMJgSusqqg\\\n",
       "JcOU0WiEXC63e0D39PTEK6+8AqPRCJ1Ohy5duqBBgwZwd3e32b/kcXK5HM8++yz27t1r9xmKxWL4\\\n",
       "+/tDLBYjPT297G9EBVgrsmazGbdu3UJiYiL8/f3B8zzCwsLQqFEjGI1GJCUlPfS1XMGDBMLo6Ghh\\\n",
       "hlrgfoWQEEKedBQICfkP8Pf3x/Tp0zF9+nScO3cOq1atwssvvwx3d3eMHDkSkyZNQr169R53M8lD\\\n",
       "0mg0uHz5MrKyssqdxdP64M/z/AOFQYZhEBgYiJ49e0Kv1+PQoUPIzc0Vxs35+flh8eLFaNGihbCg\\\n",
       "erNmzfD+++/jypUr8Pf3R6NGjYRJUlq0aIE+ffpg7ty5mDFjBjZu3Ai9Xg+e5yESiSCXyxEeHo4B\\\n",
       "AwbgxRdfRJ06dYTun47GWSkUCps1+Jyx/kLk9u3bqFOnjjB7qCM8zyMxMRFZWVlo06aNzeQywP1l\\\n",
       "K3r16oWWLVtCo9FApVLB29sbCoXCaTuUSiXGjBmD77//HteuXRO2KxQKjB07FuPGjUN+fj5mzpzp\\\n",
       "cJ3CyuJ5HmazGTdv3sTMmTPx4Ycfol27dmjRogUaNGiAgoICtGnT5qGuQZzr1q0blixZ8ribQQgh\\\n",
       "lUKBkJD/kPT0dMTHxyM+Ph5isRjPPfccLl26hMaNG2PBggV46623HncTyUMoKirCqlWrYDabyw2E\\\n",
       "DxoEgfthsHPnzvjjjz/g4+MDnueRnp6Or7/+Gnv37oW3tzfeffdddOvWzaYCLZVKUatWLWH8WunF\\\n",
       "0cViMUJCQvDTTz/h008/xalTp5CRkSEslREcHAx/f394eHhAKpU6rc5UpmsdwzDIy8vDwYMH4ePj\\\n",
       "g169ejmtKGo0Gvz111+4d+8exowZg6FDh0Iul9vsI5VKERAQAD8/PwD3q5DlhVIPDw8sWrQIL774\\\n",
       "InQ6HTw8PPD111/jhRdeEMZaNm3aFAMHDqySUAjcHxd648YNLFq0CCtWrECTJk3K/EyJveqcVEah\\\n",
       "UAhrU4aGhiI1NfVBmkgIIVWCAiEhNZzZbMbWrVuxatUq7N69GzExMZg2bRpeeukleHp6AgA2bdqE\\\n",
       "cePGUSCs4ViWxb179x4q7JVHIpGgc+fO2LRpk826hOHh4Zg/f76wrIGHh4fDYGXtplkWsViMsLAw\\\n",
       "hIWF2dyH9c+VeRCviGvXrmHv3r24desWmjdvjuDgYLt9rNXBvXv3Ijc3FxcuXMCtW7cwa9Ysu7aU\\\n",
       "rFpWpJ0Mw6BHjx5YsmQJTpw4gVdeeQUtW7YUgiTDMAgODkZ8fDymT5+OtWvXCtXTh8FxHK5fv46s\\\n",
       "rCy0aNGi3OBKbFVnINTr9cIxJcMgTShDCHkcKBASUsMFBweD4zi8+OKLOHXqFJo3b263T9euXeHl\\\n",
       "5fXI20aqXlVUj0pTKpV4+umnMXbsWPTu3dvpjJwSiQTe3t5Veu2SD9LVUb1iWRarV6/G7du3kZyc\\\n",
       "jGbNmuHw4cNo0KCBzX4cxyEzMxM6nQ5GoxEGgwGffvop/P39MW7cOGGMYMkZQCvTXplMhrFjx2LM\\\n",
       "mDFOj/P09MSKFSvw7bffIjExEcePH8eFCxdw/PhxJCQkOFxzsTwmkwlms5nC4AOqzooqhT9CyJOC\\\n",
       "AiEhNdxXX32FoUOH2o13KsnLywvJycmPsFWkprB2Lf7mm28QEBDgtDtlTcVxHDIyMoQgnZOTg9jY\\\n",
       "WJw8eRK+vr7CfgzDoFmzZoiOjsbp06dhMpnAcRyWL1+OOnXqoF27dpDL5TYzesrlcmH8ZEVVJGAo\\\n",
       "FAphgh6TyYSUlBRMmzYNe/bsqfQvBEQikcO1FUn5HsU6hIQQ8iSgXxkSUsO9/PLLZYZBUrP5+fk5\\\n",
       "7Z5ZFSQSCYYNG/ZEhcHKVE7K6z4rFouhVqtt9k9OTsY777wDvV4vbGcYBrVr18bSpUsxbtw41K5d\\\n",
       "G97e3uA4Dnv37sXp06dx48YN/Pvvvzhw4AD27duHmzdvPlDVriIYhoFEIoGbmxvq1q2LV1991W48\\\n",
       "o5VSqURgYCBUKpVdMAkODkadOnVstlk/s5r8ioyMFAKbs1dVfA8q8yKEkJqKKoSEEPIEu379OoqK\\\n",
       "irB+/Xp8+umn0Gg0VXp+hmHg5uZW5gOtdfFz64Lr1tk/S7IugM5xHNzc3Gwmm7Eer9PpoFKpoFQq\\\n",
       "HV6PZVlhLT6pVFpuQOV5Hrm5uSgqKkJwcDBkMplduyQSCcaMGYN33nlHWHaC4zjs2rUL165dQ0xM\\\n",
       "jDD5jVwuR3R0ND7//HNMnjwZFy5cwN27d6FWq5Gbm4usrCykpaXh6tWryMjIgJ+fH5599ln07NkT\\\n",
       "3t7e1dYtUyKRoEmTJnB3d7cLsc2aNcOyZcsQEREhjHk8ffo0zGYzvLy8EBcXZzMWlFQcVQgJIa6C\\\n",
       "AiEhhDzBfHx84OPjg3feeQctWrRAv379qrQqxXEcbt++DY7jHAYajuNw+PBhTJ06FRkZGWjWrBl+\\\n",
       "+OEHoUID3J/9dMGCBVi3bh3MZjM6deqEGTNmIDIyEizL4vjx45g7dy5u376NyMhIzJo1C506dRIq\\\n",
       "2yzLIjc3F0eOHMHVq1cRFhaGrl27Ijw8vMxQWFRUhDlz5uDChQsYNWoUevTogVq1atmNSxw/fjxW\\\n",
       "rlyJK1euCGP/DAYDLl26hEaNGgmTxDAMA7FYDHd3dzRs2BD16tWDwWCAXq+HVqtFRkYGNBoNdDod\\\n",
       "bt++jYsXL2Lfvn0ICgpC7969MXLkSNSpU6fK1/5kGAaenp7w8/NDbm4ueJ6HWCzG4MGDsXLlSqhU\\\n",
       "KgBASEgIdu7ciRs3biA1NRVNmjRBeHg4hRVCCCFlokBICCE1gEgkQrdu3dCtWzfs3Lmzys7LcRxO\\\n",
       "nDiBsWPHOhwPl5KSgoEDB6KgoAAAEB8fj8mTJ2Pjxo2Qy+XgOA5//PEHFi5cKATV33//HTt37kTP\\\n",
       "nj0hlUrxzz//ICcnBxzHIT09HSNHjsRLL72E4cOHw9PTExcvXsSPP/6ICxcuwGAwQKFQoFu3bvj+\\\n",
       "++8REBDgtO2JiYn4+++/kZeXhz///BNeXl6IiIiwC5EeHh74+eef0bdvX2RnZwvVQK1WC7PZ7LAr\\\n",
       "prXLpru7O1QqFXx8fBAQEAAvLy/k5+cjMTER9+7dQ3FxMdLS0nDu3DksWLAAfn5+ePHFFzF+/HiE\\\n",
       "hoZCIpHAbDYLs0p6eHg4rLCWx83NDU8//TTy8vIgkUgwefJkvP322zYzujIMA6VSiWbNmiEmJoaC\\\n",
       "4EOiCiEhxFVQICSEkBpCLBZj2rRp+Oeff6pstlFrBS8jI8PhWLM5c+YIYdC67dChQygsLERAQAAs\\\n",
       "FgvWrVtnU7W0duXcvHkz3NzcUFRUJHTX5HkeeXl5+OWXX3Do0CH4+vri9u3buHfvHkwmE3ieh9Fo\\\n",
       "xM6dO7Fp0ya8+uqrDsMTz/NISUkR1nLz9/dHYGCg06AVExODt956C4sWLYJer4darRYWcS9vxlBr\\\n",
       "5dDNzQ116tRBbGwsLl26hJs3b4JlWWEMozXwLl68GEuWLIFcLoebm5vQzdbPzw9t2rTBkCFDEB0d\\\n",
       "DXd39woHQ6VSicmTJ6Nv375o3rw5oqKiyqyeUkB5eBQICSGugiaVIYSQGqRu3bpVOlaN53mkpqbi\\\n",
       "77//tguZBoMB27ZtszvGaDTajGXLyspyeF7rbJxSqdSmzdYxhXfv3kVSUhLy8vJgsVhslnQwGAz4\\\n",
       "7bffYLFYHLab4zjo9Xp4eXkhKioKo0ePRrNmzZw+mEulUrz00kvo1q0bQkNDERQUBJFIBIPBYBPq\\\n",
       "ysIwDGQyGerWrYtu3bqV2TXU2r7c3Fzcu3cPt27dwrlz5/Dbb79hwoQJmDp1Kvbu3QudTlfuda3t\\\n",
       "j4mJwcCBA1G3bt0nZgKg/zKaVIYQ4iqoQkgIITWINWRVJaPRiG+++QajR4+2Wa/y/PnzNtVBK57n\\\n",
       "hTAkFoudznLr5uaG7t27w2Aw4MiRIygsLATHcUJ3TB8fH9SrVw8ZGRlISEiwCZk8zyM9PR0Gg8Hh\\\n",
       "QvdGoxEsy6J58+bo2LEj2rdvD6VSWeZ9BgQEYNSoUVAqlRCLxVAqldDr9cI6fRUNWXK5HDExMZBK\\\n",
       "pRWeEZXneXAcB6PRiLS0NOzcuRPnzp3DuHHjMH78eLi7u5d5vEgkgkwmq/D3nuM4WCwWsCwrBBaO\\\n",
       "48CybLnXIvdRhZAQ4iooEBJCSA3B8zxu3rxZLQta3759GytWrMC0adMgFouh1+sxZcoUh11TrWPV\\\n",
       "GIaBSCRCYGCgw3169eqFL7/8ElKpFHv27MGiRYtw+/ZtMAyDqKgojBw5El26dIHZbMYPP/yAtWvX\\\n",
       "Qq/XC5OmhISECF1NS7JYLEhLS4NWq0XHjh3Rv3//cmdKBe5X2Vq2bAmWZZGXl4fg4GCwLCuM75PJ\\\n",
       "ZBUKhdZ9nVUvnR2jVCrh7+8vTGpTUFCAffv2oXfv3mjQoIHT9lu/BxWpDLMsi3v37mH9+vU4ePAg\\\n",
       "CgsLIZPJIJfLYTQaUVxcjBMnTlS43a6MAiEhxFVQICSEkBqCZVkkJiZWSyBkWRYbNmzAqFGjoFar\\\n",
       "cf36dSQmJjrc1xoErRxVnEQiEXr16gV/f3+IxWJ0794dt2/fxrZt24SZSLt164aoqCgwDIMJEybg\\\n",
       "6tWrOHfuHCwWC5RKJZ566imIxWKbMX4cx0Gr1SI5ORnFxcWoV68e1Gp1hR/IVSoVoqKi4OXlBTc3\\\n",
       "N4jFYpjNZphMJohEImHG0bLwPI/CwkKYTKYKXdP6mXl7e6Nhw4ZgGAZZWVkwGo1wc3MrdzyoNRSX\\\n",
       "Fwg5jkNSUhLmzp2L+Ph4FBUVCbPHMgwjVCkJIYSQkigQEkLIE8w6ts5sNiM5ORkbN26slkAIAGfO\\\n",
       "nEHPnj3RtGlT7N69G0VFRQ73Kx0IHQUopVKJgQMHCjN4BgYGYtq0aejXrx+KiopQt25d+Pr6CjOb\\\n",
       "tmrVCv/88w+OHDmCf//9F40bN0bbtm2hVCrB8zxYloVOp8O///6LnTt3IikpCVFRUejbty/c3Nwq\\\n",
       "dH8Mw0ChUKB27dowm81gWRZGoxFFRUVITU2FTCZDWFgY1Gp1meFLp9Phxx9/RHFxcYWua/08BgwY\\\n",
       "gOHDh0OpVCIjIwOpqanCZDjOGI1GXLt2DRKJBPXr13c6blGn0+HNN9/EmjVrYDQaq+1nxJVQhZAQ\\\n",
       "4iooEBJCyBPs9ddfB8/zMJlMSE9Px40bN6rtWhzH4dKlS7h8+XKZlSSRSCS8b61Klebp6Qm1Wi18\\\n",
       "zTAMVCoVmjRpAo7jIBaL7UKlh4cH+vTpg969e9s8YFtn71ywYAG2bt2KoqIiqFQqhIeHIygoqFIT\\\n",
       "rFjHPFqXzBCLxUhKSsL69euRkJCAyMhIvPbaa4iJibEZs2etrmVlZeH999/Hn3/+Wakuo+7u7ujd\\\n",
       "uzeaNm0KuVyOhg0bwmQy2XS/LY1lWWzfvh0ff/wxJBIJ5s+fj549e9qF1cLCQnTo0EFYZ5FUDQqE\\\n",
       "hBBXQYGQEEKeYD/99JNQkZNKpZBIJJBKpcISDVWN5/lyzyuVSsGyLDiOg06ncxhSvby8HAY1sVhc\\\n",
       "7nIJpR+uOY7Dpk2b8MsvvwizcppMJvj4+AiLsldGyZkhpVIpEhMTsXHjRmRlZYHneWzevBmvv/46\\\n",
       "Jk+eDD8/P/A8D61Wiz179uD999/H7du3K931kuM4eHp6QqFQCFVR62Q5jsIEz/M4e/YsJkyYgLy8\\\n",
       "PADAiBEjsGHDBnTu3FkIhUVFRejYsSMuX75c6c+BlI0CISHEVdCyE4QQ8gSzVqYsFguMRiPEYjEi\\\n",
       "IyPh4eHx2NpkXfzdYrHg7Nmz0Gg0dvtYJ0+pCizL4o8//oBWqwXHccLn0bBhQyFcOWLtamqxWJxO\\\n",
       "jsMwDE6dOoXMzEyYzWZYLBbk5OTgm2++wdatW4XxhVeuXMEHH3yA5ORku3NJpVL4+vrC39/f4Yyo\\\n",
       "wP0unXfu3BHCtjXkO/qMOI7D1atX0b9/f+Tk5Aj3nJubi2HDhmHfvn3QaDS4c+cOnnvuOQqD1YSW\\\n",
       "nSCEuAoKhIQQUkPwPA+1Wo233noL77zzToVDYVU+sMpkMnz88cfCZCi7d+92OBNogwYNquR6wP1x\\\n",
       "lCkpKTaVS5FIhMaNG5c5M2d6ejp2794tLHnhqPLJsizOnDljdw96vR5yuVyYoTMgIMDhfapUKrzx\\\n",
       "xhs4dOgQDh8+jOnTpztc/sJoNGLv3r0oLi4WqrDWsG82m4W1HXNzc7Fq1Sp06tQJmZmZdufJzc3F\\\n",
       "8OHDMXLkSMTGxuL48ePUTbSaUCAkhLgK6jJKCCE1BM/zCA4ORr9+/SCXy5GcnIyff/7ZaSAQi8Wo\\\n",
       "W7cuhg8fjvDwcCQnJ2Pnzp12a/6VZp2R0tH5PvjgA/Tv3x8SiQQWi8XhwupSqRTt2rUTxug9rNLj\\\n",
       "DYH7axwGBAQ43J/neVy/fh2TJk1CQkIC/Pz8MHfuXPTr189uUpbMzEyHM7f6+Pigb9++Qvvr1KmD\\\n",
       "2bNnY8qUKcI9+/r6YunSpRg0aJBQGfzf//6H+Ph4nDt3zuacLMviwIEDOHv2LNq0aSMsW5GRkYED\\\n",
       "Bw7g0KFDuHbtGpKSkpCXl+cwfFrvLS8vD7t27RIqoIQQQsjDoEBICCE1iFgshlqthkKhwBtvvIG1\\\n",
       "a9fCYDDY7SeRSLBhwwb079/fJkzNmzcPLMvio48+wuLFi2E0Git0XYZh8Morr+Cjjz4SzieRSDB8\\\n",
       "+HD8+uuvKCoqEiaGefPNN9GnTx8YjUYYDAZkZmZCJBIhIiICCoXCpppisVhgNpvLXANQLpdj4MCB\\\n",
       "WLZsGSwWC8RiMVq2bOmweybP8zh16hT69euHnJwc8DyPnJwczJ07F61atUJYWJgwKU5mZiZGjBiB\\\n",
       "goICm3O4ubnh9OnT8PX1tfncR48ejZEjRwrrFioUCrs2KxQKh7Oe8jyPlJQUDB06FLVr14ZKpUJy\\\n",
       "cjIyMzMrtXyF9Vxms9mmMlUyfFq3lxyvybIsWJalamIl0BhCQoiroEBICCE1yN27d6HVaoWJZZw9\\\n",
       "iPr4+KB79+4Ol08Qi8WYO3cu6tWrhzfffBNardbmfWehITo62uZ6DMOgbt266NSpE86ePYvAwEC8\\\n",
       "9957eO6556BQKKDVahEXF4fvv/8eBoMBvXr1wldffSWML+Q4DiaTCVqtFp6enk4DIcMw6Nu3L1av\\\n",
       "Xg2NRgOZTAa1Wo3CwkIolUqIRCKhC2ZmZibefPNN5ObmCvfBcRzS0tJw+vRpqNVqSCQS3L17F++/\\\n",
       "/75dJU8kEuH1119HaGiow7aIxWKH6y4C90PXrl27cObMGafdUwsKCnDu3LkyP+eKEolECAkJQevW\\\n",
       "reHt7Y2srCzcvXsX+fn5KC4uFgKgxWKBSCSqkmqtK6FASAhxFRQICSGkBsnJycHx48fRpk0bh2Pf\\\n",
       "rIKDg6FQKJyeRyKR4OWXX4ZKpcKbb74pTF7iLKTwPI9//vkHr7/+uk2wkMlk6N27Nxo0aIDBgwej\\\n",
       "ZcuWQrdMhmGwadMmpKWlgeM4/PHHH2BZFnFxcfD09BT2kUgk5T5Qe3p6wtPTU+iueeXKFaxevRr9\\\n",
       "+vWDv7+/ELa++OILXLx40WbiF57nodfrhUliMjMz8csvv+Dq1at21bmgoCB88MEHlX7ANxgMWLJk\\\n",
       "CebMmeOwYluyLVVFrVZjy5YtiI6OFkJxcXExLl68iLi4OBw6dEjofsowDGQyWYXXbCQUCAkhroMC\\\n",
       "ISGE1CAGgwHLly9Hfn4+duzY4XT2TG9v73IfUiUSCQYNGgSpVIr3338fd+/ehdFodLqkwp49e3Dx\\\n",
       "4kU0b94cIpEIFosFWVlZ0Ol0aNq0KRo3bmzTjVOpVNqcz2Kx4O+//8ahQ4fQp08fSCQSyGQySKXS\\\n",
       "MheCZ1kWhw4dQm5urjDrZ2JiIubOnYtly5ahVq1aUKlUKCoqwuXLlx12wTSbzTh48CDOnz+PjIwM\\\n",
       "5Ofn260jKJfL8dZbb8Hb27vMz620/Px8xMbG4uTJk5VejuJhPPvss2jWrJnNZ+fh4YE2bdogMzMT\\\n",
       "hw8fhslkEsZyqlQqhISEPLL21XQUCAkhroICISGE1CAcx+H06dMwGAy4ffu204qTRCKpUDVKIpGg\\\n",
       "Z8+eyMzMxI8//ojExETodDqHwUav16Nfv3749ddf0aRJE6Snp+PHH3/E+fPn0atXL7sJW2QyGXr2\\\n",
       "7InLly8LbTEYDDhw4AB69epVZgi04nkeFy9exJdffomioiKbbqBmsxlarRZ37twRQqWzxeLNZjPS\\\n",
       "0tKQlpYmrKFYkkgkQkBAAPr06WP3cF96fF5JOp0OvXr1wpkzZ8q9l6okEokwadIkh5+hVCpFs2bN\\\n",
       "AEBYskIkEkEmkyEoKOiRtrOmo6BHCHEFFAgJIaSG0Wg0uHz5Msxms9N9dDodLBaLXUhzRKFQoHXr\\\n",
       "1rhy5QpMJhOSkpJQXFzscN+0tDQMHDgQERERMBgMyM7OBsdxUCqVePvtt232FYlEeP/99/HHH38g\\\n",
       "NTUVPM9DJBJBIpFUeDzb9evXERsbi6ysLKf7WMci/r/27jw6qirPA/i39kollQpJyAYJIAgRDYkE\\\n",
       "gYi0LBEYaZClEdmJcR2Q1rQN4/QIro0oIC4sYzfgDM3IYuuowGBj2MMmBDRIiBD2JJWFJFXZKpXU\\\n",
       "e/MHp15TlcpKVt73c06dY17dt9xHjrwv977fVSqV0tp+7mHYGYxqo1Ao4OXl5TKiBgClpaU4cuQI\\\n",
       "0tPT8cADD+Chhx6Cj48PFAoF7HY7li5dKr0T2BJUKhUUCkWNgjBeXl544IEHat0vKCgI3t7e0j7O\\\n",
       "iqStOYJJREQdAwMhEVEHU11dLVX1rG0UMCcnB2VlZR7XxPN0vNzcXFRUVMDPzw9GoxGVlZW1vp9Y\\\n",
       "WlqK9PR06fxKpRI5OTker6Vz5844fPgwpk+fjl9++QX+/v74l3/5lzoXlAduBZgff/wRjz32mMeF\\\n",
       "72uj0+lQXV2NysrKRr2vJ4oi8vLy8N///d+YP38+AgICkJ+fj4kTJ+LixYtwOBzQarWIjo7GkiVL\\\n",
       "EBkZiXPnzmHDhg0tFrIUCgX8/PwQFhaGGzduwGKxQBAEKBQKDB06tNbiNsCtwNi1a1f8+uuvUsGd\\\n",
       "iooKZGdnt8i13o04ZZSI5IKBkIiog3EuO1DblEtRFGE2m3HgwAFMmjSpzodVQRBw5swZrFixAhcv\\\n",
       "XpQCnk6nQ0VFRZ1FZm7/LigoCDqdzmPbbt26Yffu3di/fz8UCgUGDhxY7wP0xYsXMXz48FpHKt05\\\n",
       "l4G45557YLFYkJWVVev0UWf7269fEARYrVb89a9/xf/93/9Bp9Ph+vXrLktSVFRU4OTJk3j11Vcx\\\n",
       "depUWCyWOs/RHLy9vfHII4+gsLAQKSkpKCoqQmBgIJYtW1bnlFuVSoXevXtj//79UrEgu90Os9nc\\\n",
       "otd7N2EgJCK5YCAkIuqA6huVstlsSEpKwvDhw+Hv719ru2vXrmHu3Lm4dOmS9K6ZXq+HXq+HKIp1\\\n",
       "FpkBbk0LNZlMSExM9LguoJPRaMSYMWPgcDhqDY5ODocDM2bMaHAYdB6/b9++mD17Nn766Sds2rTJ\\\n",
       "Y1hTKBTQ6XRQKpU1RkEFQUBZWRkuXLgAwHNFUIfDgbKyMvj7+6N///4oLi7Gli1bpOqn7ue6k6qi\\\n",
       "oiiiqKgIhYWF6Nu3L/z9/VFQUIDf/va3iIyMrHf/26flOpefaMw9lTsGQiKSCwZCIqIOyjl9sDbX\\\n",
       "r1/HuHHjsG/fPo9hraqqCi+99BIuXLgghT5BEFBZWQmDwQBvb29pTTtPRVi8vb3RvXt3zJo1C+PG\\\n",
       "jau3SIxKpWpQIZmioiKcO3eu3na3X8vQoUPx9NNPY+jQoRgyZAhOnDiB06dP1whkXbp0QWJiIm7c\\\n",
       "uFFrkKsrxHl5eSExMRHTp0+Ht7c3Hn30UcyaNQvvv/8+zpw5A7vdDi8vLxgMBlRWViI/Px/l5eU1\\\n",
       "jul8l9IZ1Go7Z1lZGQ4ePAibzYYuXbqgX79+iImJqfcdzLKyMhw6dMjl3UNnIR5qGAZCIpILBkIi\\\n",
       "og6srvAiiiKOHj2KadOmYevWrTXe27tx4wb27dtXY80+QRCg0WgQGhoKnU6HnJwc2Gw2aQTRYDBg\\\n",
       "8ODBSExMxMCBAxEYGFjv+nbOKYvOwFRbsRvnNd8+uuc8p4+PD0pKSmoELK1Wi+nTp2PIkCHo1KkT\\\n",
       "jEYjFi5ciLlz57qsCdi1a1ccOnQIYWFhKCwslIrFNIRCoYC/vz9WrlyJp556SgrYWq0Wjz76KB55\\\n",
       "5BHY7XYpgDmrwH722Wf46quvXN7/U6vV8PX1hbe3N6xWK6xWa63vawqCgNzcXCQnJ8NkMiE8PByd\\\n",
       "OnVCz5494e3t7XGfqqoqvPHGG0hLS6vxZ1vbeagmBkIikgsGQiKiu5goivj6668xadIkbNu2TVqs\\\n",
       "XhAE/OMf//C4iLpKpYLRaERwcDC0Wi1KS0uldwY7d+6Mp59+Gs899xwCAwNrTEsE/vlw7AyXFRUV\\\n",
       "SEtLw//8z//g8uXL6Nu3LxISEtCrVy+XYOh893HFihUAbi2J4efnh2eeeQazZ8+Gj48Pjhw5gqSk\\\n",
       "JJciNhqNBiEhIdDr9VAqldBoNBg5ciQGDBiAo0ePQhAE+Pn5Yf/+/ejevTuAW+88/uY3v8H58+dr\\\n",
       "DdUKhQIGgwHh4eFISEhAYmIi/P39PT78q1QqlwI+RqMRfn5+eOWVV6DRaPDDDz/AYrFAq9UiKCgI\\\n",
       "ISEhKCkpQXp6er3TSgVBQGlpKcrKymA2m3Hu3Dn89NNPeOeddxAYGCiNujrD4zPPPIPvv/++Rvhj\\\n",
       "IGwcBkIikgsGQiKiu5woivjuu+9w//334+uvv0bv3r2Rl5eHLVu2eJzK6FzAPCgoCKIowtfXF4Ig\\\n",
       "QKfTIT4+HjNnzkTnzp2lJRGc0x5tNhssFgvy8/Nx48YNnD17FgcPHsSZM2dQWFgoTVfctWsXPvro\\\n",
       "I3Tt2hVTp07F8OHDoVKpsG/fPvzXf/0XzGYzRFFEQEAAPvzwQ0yaNEkakXv88cexa9cubN68WQo3\\\n",
       "VVVV+OWXX9CrVy94e3tLS0hMnz4dOTk5UCgU+PTTT3HPPfe49POxxx7DX//61xohSaFQIDQ0FK+9\\\n",
       "9hrmzJkDg8HQ4GUybqdWq9GtWzckJCQgMjISOTk5UKlU0Ov1uHnzJo4dO1Zn4R5Pf44Oh0MqfrN1\\\n",
       "61b0798fDz74IMrLy3H8+HGcP3/eY8i//Rh3Q3h56aWX6nw3loiIGo6BkIhIJi5duoTY2Fh069YN\\\n",
       "Pj4+uHTpEoB/jm4olUr4+Pjg3nvvRb9+/RAYGAidTger1Qq1Wg1/f3/ExsbCz89P2se5BuCFCxfw\\\n",
       "2WefYdeuXcjNzZUKttQWdpzrHS5duhTLli0D4Fq5VKFQoFOnThgxYgS0Wq10PrVaXeN9SLvdjr/9\\\n",
       "7W+oqqrCzJkzYTAYYLVaodfr8cgjj2DQoEF49NFHawShnj17wmQyoaioSApKfn5+ePfdd5GQkCCN\\\n",
       "pjaVQqGAVqvFPffcg06dOkmjfFlZWdi7dy+ys7Nhs9maVHhGFEVYrVbs378f+/fvv6PrJM84QkhE\\\n",
       "csFASEQkI9XV1cjMzKzxAOuc8tilSxfExMQgJiYG/v7+6NKlC7y9vZGVlYWAgABERERAEATpHT+L\\\n",
       "xYJt27Zh+fLl9S71UBtPVUxFUZTeu7t9W3FxMY4fP+6yXRAEpKWlwWw248KFC4iIiMC1a9dw9uxZ\\\n",
       "ac0+T/fBZrNh8ODB+PXXXxEUFIRnn30Wv/vd7+pc36+xnCOuWq0W/v7+sFgsMJvNyMzMREFBAadw\\\n",
       "tmMMhEQkFwyEREQd1J0sa+C+nzPklZaWori4GFqtFt26dUPv3r0RFRWFoqIiAEBwcDAcDgeKi4tx\\\n",
       "+fJlvPfee/j+++/rnKbYVAUFBfj2228xc+ZMaDQaWCwWrFixAhkZGTWuv6KiAtevX8f69euhUCik\\\n",
       "0Um1Wo2cnBz4+vpi5MiR0Ol0KCoqwuHDh5GSkoJ7770X8+bNwyOPPAKj0disD/bOa1Sr1VCpVNBo\\\n",
       "NHA4HKioqMDly5dRWVnZbOei5sdASERywUBIRNTBqFQqqcJkeXl5nVMzG0oQBNhsNmRnZ2P//v2I\\\n",
       "iIjAQw89hNDQUKhUKun9terqalRWViIzMxPvvvsu9uzZA7vd3hzdqqGqqgoLFy5EcnIyQkNDcejQ\\\n",
       "Ifzyyy8ez+ecbur+ncPhwMWLFzFz5kz4+PhAFEVUVFTA4XBAq9UiLi4Ov//975s9DFZXV6O6uhpK\\\n",
       "pVJabsO51ERWVhby8/NbbHTQeS4A0qL0d/r7IUcMhEQkFwyEREQdiLPyZa9evQDcWjrCuWyBM3w4\\\n",
       "HA7Y7fZGhwBncZj8/Hzs3LkTzzzzDHQ6nVRQxRksVCoVbty4gR9//LHFwqCT1WrFl19+KZ2/KZxB\\\n",
       "sbCw0GV7VVUVjh8/juvXr0vVR++UIAjIzs7G3r17odFo8PDDDyM0NBRqtVoauUxNTW2RBeL1ej3i\\\n",
       "4+Px/PPPo1u3brDb7cjIyMD333+Po0ePIi8vD5WVlS0ymns3YiAkIrlgICQi6mAcDgdu3rwJjUYD\\\n",
       "nU6HwMBAmEwm9OnTB127dkV6ejqOHDnicdH1hhAEAZcvX0ZpaanLQvLOB2S9Xg+DwdBqwaIlR7dK\\\n",
       "S0uxbNkyDBo0CDqd7o6Pl5mZifHjx+PKlSvQaDQYNmwYPvjgA3Tv3h0KhQJmsxnHjx9v0ruWdQkN\\\n",
       "DcXOnTvRr18/l4qo/fv3x9SpU1FeXo7s7GxkZmZi7NixzXpuIiLq2BgIiYg6EOeUx6ysLCiVSmld\\\n",
       "u1GjRmHq1KkICAhAamoqzp8/3+RACNyq3FlUVFTrmns9e/aEr68vSkpKagQ2Z3DsCFMVRVHEDz/8\\\n",
       "gB07dmDChAnS9Njq6moUFxdDo9HAaDQ2aNkJh8OB999/H7/++qs0BXfnzp24evUq3n//fYSHh+OL\\\n",
       "L76A2Wy+o2t2/pk4F7mPjo7Gl19+iYiICI9tnetK9unTB717976jc8sJRwiJSC4YCImIOhhnYAFu\\\n",
       "vatWVFSEgIAA9OjRA97e3oiKirrjSpmCIODChQsYOXJkje8UCgWCgoIwYMAA5OfnS9NGlUolvLy8\\\n",
       "0LlzZ6jVapjNZmlR+/bMbrfj6aefRmZmJkaMGIHMzEysW7cO58+fx5AhQ7Bq1Sp06dKl3od+URRx\\\n",
       "6dIljxVQZ8+ejZiYGFy8eFFaj7ExnEtijBgxAsOGDUNwcDB8fHwQHh6Onj17wsvLq8HHoYZhICQi\\\n",
       "uWAgJCLqwARBgNVqRUpKCmbPng0fHx9otdomhY7biaKIv//970hMTIRGo6nxnVKpxLBhw5Ceng6z\\\n",
       "2QylUong4GAMGjQIUVFRsFqt2LNnD37++WeUl5e3+1BotVrx7//+71Cr1aiurpYKvuzYsQPDhg3D\\\n",
       "Cy+8ALW67r8ynfdk3759Lv0VRRH5+fk4fPhwkyvDGgwGbN68GY899li910HNg4GQiOSCf6sQEbVj\\\n",
       "DQkQDocDBw4cwKZNmzB+/HgcOXKk3mmJSqWy3imdhw8fxrp16zB79mwYDAbpXOXl5bh69SqqqqoQ\\\n",
       "GRmJ4OBgBAcH4+GHH8aAAQPQqVMnFBUVQaVSwWaz4cqVK9L7hhqNBhqNBtXV1SgvL/cYXNVqNdRq\\\n",
       "Nex2u8c1CluKw+GoUfmzsrISmzdvxsyZM+Hr6yu1q6yshEajgVarlcKAUqlEYmIili9fDqvV6nIc\\\n",
       "URRRWVkJrVYLpVLZ6AqjERERGD58eLOEwfYezhtixYoVKC0tbdFzMBASkVwwEBKRR1VVVfiP//gP\\\n",
       "7Nq1C5cuXYLJZEJ8fDzee+89hIWF1bnv6tWr8cEHH8BsNiM6OhqffPIJBg4cKH1vs9nwhz/8AVu2\\\n",
       "bEFlZSVGjx6NNWvWIDg4uKW71eGsXr0aZ8+exVdffYXc3NxaH+bLy8vxzjvv4PPPP8fNmzfrfX+w\\\n",
       "Ie/32Ww2JCUl4Y033oCvry90Oh30ej10Oh00Go30Dlt4eDiGDh2K3/zmNwgNDYVGo0GXLl0QGBiI\\\n",
       "Xr16IS0tDZWVlejWrRseeOABhISEoKKiAt988w1Wr16N4uJi6VqcUyMjIyNx9epVZGVltWoo9CQ9\\\n",
       "PR2//PILHnzwQTgcDpw/fx779u1DREQEHn/8cSkoAkBISAgWLlyI119/vcb9FUURBoMBarW60VNp\\\n",
       "w8LCaozUUstiICQiuWAgJCKPysvLkZqaitdffx3R0dEoKirC73//e4wfPx4nT56sdb+tW7ciKSkJ\\\n",
       "69atw6BBg7Bq1SqMHj0aGRkZCAoKAgC88sor2LlzJ7Zv3w6TyYT58+dj0qRJSElJaa3udRgvvvgi\\\n",
       "RFHEW2+9hXHjxuHYsWO1BomKigpcuHChQcdtaBiprq5GYWGhy5INCoUCSqUSGo0Gvr6+UKlUCAwM\\\n",
       "RFhYGHx8fKTKpEajERERERgzZgyAW8siOEfIAOC+++6DxWLB2rVrXapuKhQKPPzwwxg+fDjWr1+P\\\n",
       "7OzsBl1rbZo6TdOprKwM27ZtQ3BwMOx2O/bu3Yvdu3cjMDAQ9913H6KioqQ+KZVKLFiwAGvXrkVW\\\n",
       "VlaN6wgJCYFWq8XZs2cbNa3X+a5mQ98V9EQQBAiCwCmnRETkQll/EyKSI5PJhD179uDJJ59Enz59\\\n",
       "MHjwYHz66ac4deoUrl27Vut+K1euxLPPPouEhAT07dsX69atg8FgwIYNGwAAFosF69evx8qVKzFi\\\n",
       "xAjExsZi48aNOHLkCI4dO9Za3etQFAoFOnXqhIULF7aLh3nnIvV2ux0lJSXIy8uDw+GARqOBUqmU\\\n",
       "RlZUKhX0ej2MRiN8fHykNQ2dC6fr9Xo89NBDLqMrzqmVGo0GUVFRiIqK8ljh03l8lUrV4qMzgiDg\\\n",
       "/PnzKCgoQHl5OQRBgEajgUql8rjeo5eXF/r37+/xWAaDAf7+/i7LeTREXl4ebt682eQ+VFRUICMj\\\n",
       "A7t3727yMeTG+Xvc0A8RUUfFQEhEDWaxWKQpfZ7Y7XacOnUK8fHx0jalUon4+HgcPXoUAHDq1ClU\\\n",
       "VVW5tImMjERERITUhmpSKpUYP348XnnllUaHiZbiXFrh8uXLSE9Pl8Lg7ZRKpfROoPv3KpUKcXFx\\\n",
       "NQJfWVkZsrOzERUVhTfeeAPR0dEufVYqlQgKCsLzzz+PpUuXYsyYMfDy8mqx+yIIAs6cOYO0tDSo\\\n",
       "1WoMGjQIU6ZMwbhx46RR79up1Wq8+uqrNfoliiIKCwtRVFTU6BHLvLw8TJ48udFLVjgcDvztb39D\\\n",
       "ly5d8MADD2DcuHGN2l/OGAiJSC7ax1MFEbV7NpsNixYtwrRp01zembpdQUEBHA5HjXcBg4ODpQdZ\\\n",
       "s9kMrVZbI1Te3saTyspKWK1Wl4/cKJVKvPfee/jLX/7SLIuoNwdRFFFaWopVq1YhMzOz1jbl5eUo\\\n",
       "LS2tUUyla9euNX4XHA4HDh8+DD8/P/Tv3x//+7//i4EDB0qh0tfXFx9//DFWrVqFV199FTt37kRB\\\n",
       "QQFSUlI8TqlsjiIqBQUF+Oqrr2AymfDwww9jzpw5mDJlCsLCwmqEAVEUERAQUOOdP0EQcOnSJZw+\\\n",
       "fVpaqqOhBEHAiRMn0KVLFwwfPhw3b96st18lJSXo168fZs2ahaKiojZ/F7MjYhgkIjlgICQiAMDm\\\n",
       "zZvh4+MjfQ4dOiR9V1VVhSeffBKiKGLt2rVtcn1Lly6FyWSSPuHh4W1yHW1NoVBg2rRpWLBgAXx9\\\n",
       "fdvNaKHFYsGCBQs8vhdXUlKC//zP/8Qf//hHHDt2zOV9QY1Gg759+9bY5+bNm9L7boGBgYiNjZX6\\\n",
       "Kooi/P39oVarpQdyg8GAgQMHYsqUKS3SP0EQcPz4cVy/fl16f9IZUB0OB6qqqqSPxWLB559/7vFe\\\n",
       "NKSYT33XcejQIbz44osoLi72GPJEUURFRQWWLl2K8+fPN/lccteaI4QMl0TUltrHkwQRtbnx48fj\\\n",
       "zJkz0mfAgAEA/hkGr169ij179tQ6OggAgYGBUKlUyM3Nddmem5uLkJAQALeqMNrtdhQXF9faxpPX\\\n",
       "XnsNFotF+ly/fr2JPe34dDodFi5ciE2bNiExMRF9+/aFt7d3m4ZDURRx4MABfPHFFy6Bx+FwYMuW\\\n",
       "LXjzzTexfv16jBs3Dl9//bU0UqhQKDBy5MgaD8IVFRWwWCxSgMrLy0N1dTUEQUB5eTkuXbpU4xqU\\\n",
       "SiUWLVpU6zuHzvf+mqq4uBhvv/02bt68Ka1VWFJSgtTUVHz66ad4+eWXMWvWLMTHx2P16tWNXlqi\\\n",
       "oQRBwLFjx7B//34UFhaitLQUFosF+fn5yMrKwtmzZ/HBBx9g7dq1HBW8A60VCO+kUBARUXNo++oE\\\n",
       "RNQuGI1GGI1Gl23OMHjhwgXs27cPAQEBdR5Dq9UiNjYWycnJmDBhAoBbD6/JycmYP38+ACA2NhYa\\\n",
       "jQbJycmYPHkyACAjIwPXrl1DXFxcrcfW6XTtZppka7o9VNw+umQymTBmzBiMGjUKhYWF2LRpE5Yv\\\n",
       "X96gqYQtea3z5s3Dww8/jJ49ewIASktLsWbNGmmZhaKiIjz99NMICgrCkCFDIIoi7r33XqhUKpeR\\\n",
       "Q7vdjpMnTyI8PBw5OTlISUmRwk11dTX279+PZ555psaDeM+ePWE0Gl3+wUGpVOL+++/HvHnzoFAo\\\n",
       "sH79epw+fbpRVT6BW/d/3759ePLJJ/Hcc88BAL788kscPHgQJSUlEAShVe69VqtFz549YbFYcOjQ\\\n",
       "IaSmpmLv3r24du0abDYbHA4HbDYbKisrW/xa7matsezE4sWLYbPZ7rgSLhHRnWAgJCKPqqqq8Lvf\\\n",
       "/Q6pqanYsWMHHA6H9I6fv78/tFotAGDkyJGYOHGiFPiSkpIwZ84cDBgwAAMHDsSqVatQVlaGhIQE\\\n",
       "ALeCTGJiIpKSkuDv7w9fX1+89NJLiIuLw+DBg9ums+1Y//79IYqiVGl0yJAhmDFjBnr16iWtBRga\\\n",
       "GorExEQcPHgQu3fvbtSDZXM/iJaWlmL69OnYuXMnTCYTbty4gaysLJdzlJaWYsqUKdi6dSsiIyNh\\\n",
       "tVqlxeqdBEHAxo0bERISgp07dyIvL0/6ThRFnDx5EoIg1BgV1Wq1mDNnDj755BMIggCFQoEBAwZg\\\n",
       "x44dCAgIgEKhQEJCAg4fPozp06c3qUhLSkqKVBHX4XC02oO8SqVCSEgIFixYgCeeeALArUC6du1a\\\n",
       "FBYWMlC0A3v37sXLL78s/Tx48GA89dRTtbZ/++23AUD6XSUiagsMhETkUVZWFr799lsAQExMjMt3\\\n",
       "+/btw7BhwwAAmZmZKCgokL6bOnUq8vPzsXjxYpjNZsTExGD37t0uhWY+/PBDKJVKTJ482WVheqrp\\\n",
       "559/dvk5JSUFx48fx5dffikVY1EoFDCZTIiJicE//vGPeqcJOpds0Gg00Gg0qKqqgs1ma3CgUKvV\\\n",
       "MBgMsNlsHoujnDlzBn//+98xYcIE5OTkuAQ9p/z8fMycORMzZszAjRs3PBZmOX36NN566y1cuHCh\\\n",
       "xvRL57p87stwKBQKvPXWWzh79izS0tIQFxeHDRs2wN/fX2qj0WgwbNgwpKSkYPDgwcjPz69xDLVa\\\n",
       "DVEUPV57bdsbS6/Xo1OnTlCr1SgrK0N5ebk0Lfb20WDnO5IzZ87E22+/LQXb6upqdOrUSZpaS82r\\\n",
       "KSOEaWlpSEtLk7Z/9NFHtQZC5z7OJXmIiNoKAyERedS9e/cGPWReuXKlxrb58+dLI4ae6PV6rF69\\\n",
       "GqtXr76TS5Sl6upqHDlyBFeuXHEJ6kqlEmFhYfXur1QqodPpYDKZEBwcjM6dO+PmzZs4f/48Kioq\\\n",
       "6t3fy8sLL774Ih5//HFs3boVGzdurBGOqqur8c0332DIkCEeQ5tTTk4OPvvsMxgMBo8Bq7S0FD//\\\n",
       "/LPHsFpVVYXKykoYDIYa+/n6+mLHjh0oLS2Fr6+vNJp9O4VCgR49emDRokVYuHChS4hWq9W4//77\\\n",
       "oVarcerUqRYJW15eXhg1ahSeeOIJ6TzJycm4fPkyKioqXM6p0WgwceJErFixAt7e3i7bnSPItVEq\\\n",
       "lXyPsImaEgijoqIwYsQIaXttsx6ioqIA3Jqq75w9QUTUVhgIiYg6mMrKSvz444+Ijo6WHkQVCgWM\\\n",
       "RmO9D7AqlQpGoxERERHo1asXIiMjYbFYUFhYiGvXrtUZLtRqNd58800sWLAAGo0GMTEx+OGHH3D5\\\n",
       "8mWXdqIo4saNGygrK4OXlxcMBoPHRdVFUURJSYm02Ls75zqHnr6rL+jo9Xro9fq6bgUUCgXGjRuH\\\n",
       "P/3pTy7v2+n1ekyYMAFdunTBvHnzGr1ERH0UCgXCwsIwbdo0DBgwAIIgwGAwID09HVeuXKnxZ6DR\\\n",
       "aJCQkOAx/Pbo0UOqdOpOqVRCr9dL1U+pcZoSCEeMGIFVq1bV2/7s2bMAblXgdT+HQqHAL7/84rH6\\\n",
       "LhFRS2CVUSKiDkYURVy8eLFGcGhI0R1nSDCZTPD390doaCh69+6NsLCwequUBgUFYe7cudDpdFAq\\\n",
       "lfDz85Oq0bpzjup5eXnVWUVREIQ638O7fdrk7bRabbNUVXVO2XQ/9n333Yd+/fq1SCEj52hu165d\\\n",
       "YTAYpPDqvBfuVCoVIiIiPIYTb2/vWiunOqcSs4pl07RkldGFCxe6LKNjMpmk70wmE8MgEbUqjhAS\\\n",
       "EbVjDZ2uqFQqMXXqVEydOrVJ53FWzWwMlUqFbdu21dsuIyOjKZfUKjp37ozS0tJav7dara1yHeHh\\\n",
       "4Rg7dmyj9/Px8WnQVF9qvJasMrps2TIsW7bM4zHcl+QhImppHCEkIiIiIiKSKY4QEhEREblpjXUI\\\n",
       "b8dKsUTUVhgIiYiIiNy0diAkImorDIREREREbhgIiUguGAiJiIiI3DAQEpFcMBASERERuWEgJCK5\\\n",
       "YJVRIiIiIiIimeIIIREREZEbjhASkVwwEBIRERG5YSAkIrlgICQiIiJyw0BIRHLBQEhERETkhoGQ\\\n",
       "iOSCgZCIiIjIAwY9IpIDVhklIiIiIiKSKY4QEhEREbnhlFEikgsGQiIiIiI3DIREJBcMhERERERu\\\n",
       "GAiJSC4YCImIiIjcMBASkVwwEBIRERG5YSAkIrlgICQiIiJyw0BIRHLBZSeIiIiIiIhkiiOERERE\\\n",
       "RG44QkhEcsFASEREROSGgZCI5IKBkIiIiMgNAyERyQUDIREREZEbBkIikgsGQiIiIiI3DIREJBes\\\n",
       "MkpERERERCRTHCEkIiIicsMRQiKSCwZCIiIiIjcMhEQkFwyERERERG4YCIlILhgIiYiIiNwwEBKR\\\n",
       "XDAQEhEREblhICQiuWCVUSIiIiIiIpniCCERERGRG44QEpFcMBASERERecCgR0RywEBIRERE5IYj\\\n",
       "hEQkFwyERERERG4YCIlILhgIiYiIiNwwEBKRXDAQEhEREblhICQiueCyE0RERERERDLFEUIiIiIi\\\n",
       "NxwhJCK5YCAkIiIicsNASERywUBIRERE5IaBkIjkgoGQiIiIyA0DIRHJBQMhERERkRsGQiKSC1YZ\\\n",
       "JSIiIiIikikGQiIiIiI3zhHChn7u9NjBwcEt1BMioroxEBIRERG5aclA6NSpUycYjUYAQF5eHv78\\\n",
       "5z83ZxeIiBqEgZCIiIjITUsGQlEUIYoiCgsLYbVaMWbMGADA4sWLW6IrRER1YlEZIrqrlZaWYsWK\\\n",
       "FW19GUTUjEpLS1v8HE0pKrN37168/PLL0vbBgwfjqaeeqnf/tLQ0AICPj0/jL5SI6A4xEBLRXa81\\\n",
       "Hh6J6O7SlECYlpYmhTsA+Oijj+oNhDdu3EBWVhYAoLi4uGkXS0R0BxgIiYiIiJpBVFQURowYIf08\\\n",
       "ePDgevcJDw8HAERHR7fYdRER1YWBkIiIiMhNU0YIR4wYgVWrVjXqHABwzz334MyZM429RCKiZsGi\\\n",
       "MkTUIC+88AIUCkWDHnZWr16N7t27Q6/XY9CgQThx4oTL9zabDfPmzUNAQAB8fHwwefJk5ObmttCV\\\n",
       "ExE1XksWlbFardI+ISEhyMzMbIkuEBE1CAMhEdXr66+/xrFjxxAWFlZv261btyIpKQlLlixBamoq\\\n",
       "oqOjMXr0aOTl5UltXnnlFXz33XfYvn07Dhw4gOzsbEyaNKklu0BE1CgtGQhNJhMAQKVSoVevXhg6\\\n",
       "dCiGDh2KNWvWtERXiIjqxEBIRHXKysrCSy+9hM2bN0Oj0dTbfuXKlXj22WeRkJCAvn37Yt26dTAY\\\n",
       "DNiwYQMAwGKxYP369Vi5ciVGjBiB2NhYbNy4EUeOHMGxY8daujtERA3WkmsQAoDD4cDhw4elz7x5\\\n",
       "85rx6omIGoaBkIhqJQgCZs2ahT/+8Y+4//77621vt9tx6tQpxMfHS9uUSiXi4+Nx9OhRAMCpU6dQ\\\n",
       "VVXl0iYyMhIRERFSGyKittYa6xB6+hARtTYWlSGiWi1btgxqtRoLFixoUPuCggI4HA4EBwe7bA8O\\\n",
       "Dsb58+cBAGazGVqtFn5+fjXamM3mWo9dWVmJyspK6Wer1drAXhARERFRbThCSEQAgM2bN8PHx0f6\\\n",
       "HDhwAB999BE+//zzO5oS1VyWLl0Kk8kkfZyl2omIWkJLjhASEbUnDIREBAAYP348zpw5I32OHDmC\\\n",
       "vLw8REREQK1WQ61W4+rVq/jDH/6A7t27ezxGYGAgVCpVjYqhubm5CAkJAXCrop7dbq+xAPPtbTx5\\\n",
       "7bXXYLFYpM/169fvqL9ERHVhICQiueCUUSICABiNRhiNRunn5557DuPGjXNpM3r0aMyaNQsJCQke\\\n",
       "j6HVahEbG4vk5GRMmDABwK33EJOTkzF//nwAQGxsLDQaDZKTkzF58mQAQEZGBq5du4a4uLhar0+n\\\n",
       "00Gn091JF4mIGqwp6xASEXVEDIRE5FFAQAACAgJctmk0GoSEhKBPnz7StpEjR2LixIlS4EtKSsKc\\\n",
       "OXMwYMAADBw4EKtWrUJZWZkUIk0mExITE5GUlAR/f3/4+vripZdeQlxcHAYPHtx6HSQiqgMDIRHJ\\\n",
       "BQMhEd2RzMxMFBQUSD9PnToV+fn5WLx4McxmM2JiYrB7926XQjMffvghlEolJk+ejMrKSowePZrr\\\n",
       "bxFRu8JASERywUBIRA125cqVBm2bP3++NGLoiV6vx+rVq7F69epmvDoioubDQEhEcsGiMkRERERE\\\n",
       "RDLFEUIiIiIiNxwhJCK5YCAkIiIicsNASERywUBIRERE5IaBkIjkgoGQiIiIyA0DIRHJBQMhERER\\\n",
       "kRsGQiKSC1YZJSIiIiIikimOEBIRERG54QghEckFAyERERGRGwZCIpILBkIiIiIiNwyERCQXDIRE\\\n",
       "REREbhgIiUguGAiJiIiI3DAQEpFcsMooERERERGRTHGEkIg6JFEU2/oSiKidu5P/T5SUlDR45K+k\\\n",
       "pKTJ5yEiamsMhETUIZWUlODNN99s68sgonaspKQEJpOpUftER0cDAMLDwxt9Pue+REQdiULkP7MT\\\n",
       "UQckCAKys7NhNBpl/f6O1WpFeHg4rl+/Dl9f37a+nDbD+3AL78MtoiiipKQEYWFhUCob/3bMxo0b\\\n",
       "8dNPPzVqn+joaCQkJDT6XEREbY2BkIioA7NarTCZTLBYLLIOALwPt/A+EBFRY7GoDBERERERkUwx\\\n",
       "EBIREREREckUAyERUQem0+mwZMkS6HS6tr6UNsX7cAvvAxERNRbfISQiIiIiIpIpjhASERERERHJ\\\n",
       "FAMhERERERGRTDEQEhERERERyRQDIRFRO1JVVYVFixYhKioK3t7eCAsLw+zZs5GdnV3vvqtXr0b3\\\n",
       "7t2h1+sxaNAgnDhxwuV7m82GefPmISAgAD4+Ppg8eTJyc3Nbqit3pL6+uNu+fTsiIyOh1+sRFRWF\\\n",
       "Xbt2uXwviiIWL16M0NBQeHl5IT4+HhcuXGjJLtyxpUuX4qGHHoLRaERQUBAmTJiAjIyMeve7G+8F\\\n",
       "ERG1HAZCIqJ2pLy8HKmpqXj99deRmpqKr776ChkZGRg/fnyd+23duhVJSUlYsmQJUlNTER0djdGj\\\n",
       "RyMvL09q88orr+C7777D9u3bceDAAWRnZ2PSpEkt3aVGa0hfbnfkyBFMmzYNiYmJOH36NCZMmIAJ\\\n",
       "Eybg7NmzUpv3338fH3/8MdatW4fjx4/D29sbo0ePhs1ma61uNdqBAwcwb948HDt2DHv27EFVVRVG\\\n",
       "jRqFsrKyWve5W+8FERG1IJGIiNq1EydOiADEq1ev1tpm4MCB4rx586SfHQ6HGBYWJi5dulQURVEs\\\n",
       "Li4WNRqNuH37dqlNenq6CEA8evRoy118E9TXF3dPPvmkOHbsWJdtgwYNEp9//nlRFEVREAQxJCRE\\\n",
       "/OCDD6Tvi4uLRZ1OJ37xxRct0IOWkZeXJwIQDxw4UGsbudwLIiJqPhwhJCJq5ywWCxQKBfz8/Dx+\\\n",
       "b7fbcerUKcTHx0vblEol4uPjcfToUQDAqVOnUFVV5dImMjISERERUpv2oCF9cXf06FGX9gAwevRo\\\n",
       "qf3ly5dhNptd2phMJgwaNKhd9b0+FosFAODv719rG7ncCyIiaj4MhERE7ZjNZsOiRYswbdo0+Pr6\\\n",
       "emxTUFAAh8OB4OBgl+3BwcEwm80AALPZDK1WWyNU3t6mPWhIX9yZzeZ6++7c1tBjtjeCIODll1/G\\\n",
       "kCFD8MADD9TaTg73goiImhcDIRFRG9q8eTN8fHykz6FDh6Tvqqqq8OSTT0IURaxdu7YNr5La2rx5\\\n",
       "83D27Fls2bKlrS+FiIjuMuq2vgAiIjkbP348Bg0aJP3cpUsXAP8Mg1evXsXevXtrHR0EgMDAQKhU\\\n",
       "qhoVQ3NzcxESEgIACAkJgd1uR3Fxscso4e1t2oOG9MVdSEhIvX13bgsNDXVpExMT04xX3zLmz5+P\\\n",
       "HTt24ODBg+jatWudbe/2e0FERM2PI4RERG3IaDSiV69e0sfLy0sKgxcuXMAPP/yAgICAOo+h1WoR\\\n",
       "GxuL5ORkaZsgCEhOTkZcXBwAIDY2FhqNxqVNRkYGrl27JrVpDxrSF3dxcXEu7QFgz549UvsePXog\\\n",
       "JCTEpY3VasXx48fbVd/diaKI+fPn4+uvv8bevXvRo0ePeve5W+8FERG1oLauakNERP9kt9vF8ePH\\\n",
       "i127dhXPnDkj5uTkSJ/Kykqp3YgRI8RPPvlE+nnLli2iTqcTP//8c/HcuXPic889J/r5+Ylms1lq\\\n",
       "88ILL4gRERHi3r17xZMnT4pxcXFiXFxcq/avIerry6xZs8R/+7d/k9qnpKSIarVaXL58uZieni4u\\\n",
       "WbJE1Gg0YlpamtTmvffeE/38/MRvvvlG/Pnnn8UnnnhC7NGjh1hRUdHq/WuoF198UTSZTOL+/ftd\\\n",
       "fg/Ky8ulNnK5F0RE1HIYCImI2pHLly+LADx+9u3bJ7Xr1q2buGTJEpd9P/nkEzEiIkLUarXiwIED\\\n",
       "xWPHjrl8X1FRIf7rv/6r2KlTJ9FgMIgTJ04Uc3JyWqFXjVdXXx599FFxzpw5Lu23bdsm9u7dW9Rq\\\n",
       "teL9998v7ty50+V7QRDE119/XQwODhZ1Op04cuRIMSMjozW60mS1/R5s3LhRaiOXe0FERC1HIYqi\\\n",
       "2DZjk0RERERERNSW+A4hERERERGRTDEQEhERERERyRQDIRERERERkUwxEBIREREREckUAyERERER\\\n",
       "EZFMMRASERERERHJFAMhERERERGRTDEQEhERERERyRQDIRERdQjr16/HqFGjWvw8u3fvRkxMDARB\\\n",
       "aPFzERERtTUGQiIiavdsNhtef/11LFmypMXPNWbMGGg0GmzevLnFz0VERNTWGAiJiKjd+/LLL+Hr\\\n",
       "64shQ4a0yvnmzp2Ljz/+uFXORURE1JYYCImIqNXk5+cjJCQEf/7zn6VtR44cgVarRXJycq37bdmy\\\n",
       "BePGjXPZNmzYMLz88ssu2yZMmIC5c+dKP3fv3h3vvPMOZs+eDR8fH3Tr1g3ffvst8vPz8cQTT8DH\\\n",
       "xwf9+vXDyZMnXY4zbtw4nDx5EpmZmU3vLBERUQfAQEhERK2mc+fO2LBhA9544w2cPHkSJSUlmDVr\\\n",
       "FubPn4+RI0fWut/hw4cxYMCAJp3zww8/xJAhQ3D69GmMHTsWs2bNwuzZszFz5kykpqaiZ8+emD17\\\n",
       "NkRRlPaJiIhAcHAwDh061KRzEhERdRQMhERE1Koef/xxPPvss5gxYwZeeOEFeHt7Y+nSpbW2Ly4u\\\n",
       "hsViQVhYWJPP9/zzz+Pee+/F4sWLYbVa8dBDD2HKlCno3bs3Fi1ahPT0dOTm5rrsFxYWhqtXrzbp\\\n",
       "nERERB0FAyEREbW65cuXo7q6Gtu3b8fmzZuh0+lqbVtRUQEA0Ov1TTpXv379pP8ODg4GAERFRdXY\\\n",
       "lpeX57Kfl5cXysvLm3ROIiKijoKBkIiIWl1mZiays7MhCAKuXLlSZ9uAgAAoFAoUFRXVe1yHw1Fj\\\n",
       "m0ajkf5boVDUus19mYnCwkJ07ty53nMSERF1ZAyERETUqux2O2bOnImpU6fi7bffxjPPPFNjdO52\\\n",
       "Wq0Wffv2xblz52p85z7N89KlS81yjTabDZmZmXjwwQeb5XhERETtFQMhERG1qj/96U+wWCz4+OOP\\\n",
       "sWjRIvTu3RtPP/10nfuMHj0ahw8frrH9m2++wVdffYXMzEy8++67OHfuHK5evYqsrKw7usZjx45B\\\n",
       "p9MhLi7ujo5DRETU3jEQEhFRq9m/fz9WrVqFTZs2wdfXF0qlEps2bcKhQ4ewdu3aWvdLTEzErl27\\\n",
       "YLFYXLaPHTsW77//Pvr27YuDBw9izZo1OHHiBDZt2nRH1/nFF19gxowZMBgMd3QcIiKi9k4h3l5n\\\n",
       "m4iIqJ2aMmUK+vfvj9deew3ArXUIY2JisGrVqmY9T0FBAfr06YOTJ0+iR48ezXpsIiKi9oYjhERE\\\n",
       "1CF88MEH8PHxafHzXLlyBWvWrGEYJCIiWeAIIRERdUgtNUJIREQkJwyEREREREREMsUpo0RERERE\\\n",
       "RDLFQEhERERERCRTDIREREREREQyxUBIREREREQkUwyEREREREREMsVASEREREREJFMMhERERERE\\\n",
       "RDLFQEhERERERCRTDIREREREREQyxUBIREREREQkUwyEREREREREMsVASEREREREJFMMhERERERE\\\n",
       "RDLFQEhERERERCRT/w+B3Mq0UxQBwAAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[13] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAArgtJREFUeJzs3Xd0FGXbBvBrZns2vVcg9BZa6ARCKAbpqCBIJ9JEAVFQFFCw\\\n",
       "oIBSXgVEmhSRooKg0nuH0BFCIIFAGullN1tnvj84Ox+b3U0jIYS9f+fsec3slGd2w8tcPOVmeJ7n\\\n",
       "QQghhBBCCCHE7rCV3QBCCCGEEEIIIZWDAiEhhBBCCCGE2CkKhIQQQgghhBBipygQEkIIIYQQQoid\\\n",
       "okBICCGEEEIIIXaKAiEhhBBCCCGE2CkKhIQQQgghhBBipygQEkIIIYQQQoidokBICCGEEEIIIXaK\\\n",
       "AiEhhBBCCCGE2CkKhIQQQgghhBBipygQEkIIIYQQQoidokBICCGEEEIIIXaKAiEhhBBCCCGE2CkK\\\n",
       "hIQQQsrk6NGjYBgGR48ereymkHJ2/vx5SKVSPHjw4LlfOyMjA0qlEv/8889zvzYhhNgjCoSEEEKK\\\n",
       "tHz5cqxfv76ym1Emv/76K5YsWVLZzQAAcByHBQsWIDg4GHK5HE2aNMGWLVtKfHx2djbGjRsHLy8v\\\n",
       "KJVKRERE4NKlSxb7bd26FcOGDUOdOnXAMAw6d+5c6rZ++umnGDJkCKpXr17qY5+Vh4cH3n77bcye\\\n",
       "Pfu5X5sQQuwRw/M8X9mNIIQQ8uJq3LgxPD09LXoCOY6DTqeDVCoFy76Y/77Yu3dv3LhxA/fv36/s\\\n",
       "pmDmzJn45ptvMHbsWLRq1Qq7du3C33//jS1btmDw4MFFHstxHDp27IirV69i+vTp8PT0xPLly/Hw\\\n",
       "4UNER0ejTp06wr6dO3dGdHQ0WrVqhStXrqBJkyal6sW9cuUKmjdvjtOnT6Ndu3Zlvd1ncuvWLTRs\\\n",
       "2BCHDh1Cly5dKqUNhBBiLygQEkJICahUKiiVyspuRqWwFQirghclECYmJiI4OBjjxo3DDz/8AADg\\\n",
       "eR7h4eGIj4/H/fv3IRKJbB6/bds2vPnmm9i+fTveeOMNAEBaWhrq1q2LV199Fb/++quw78OHDxEQ\\\n",
       "EACWZcv03U2ZMgU7d+7E/fv3wTBM2W64HISEhKB58+bYsGFDpbWBEELswYv5T7qEEFKBEhMTERUV\\\n",
       "BX9/f8hkMgQHB2PixInQ6XQAgPXr14NhGBw7dgzvvPMOvL29ERgYKBy/fPlyNGrUCDKZDP7+/pg0\\\n",
       "aRKys7PNrhEbG4vXX38dvr6+kMvlCAwMxODBg5GTkyPsc+DAAYSFhcHV1RWOjo6oV68ePvnkk2Lb\\\n",
       "X5LjtFotPvvsM9SuXRsymQxBQUGYMWMGtFqtxfk2bdqE1q1bw8HBAW5ubujUqRP2798PAKhRowZu\\\n",
       "3ryJY8eOgWEYsyGItuYQbt++HaGhoVAoFPD09MSwYcOQmJhots+oUaPg6OiIxMRE9O/fH46OjvDy\\\n",
       "8sKHH34Io9FY7Gewa9cu9OrVS/gOa9WqhS+++MLs2M6dO+Pvv//GgwcPhLbXqFHD5jlHjRol7Ff4\\\n",
       "9fnnnxfbpuLaq9fr8c477wjbGIbBxIkT8ejRI5w5c6bI43fs2AEfHx+89tprwjYvLy8MGjQIu3bt\\\n",
       "Mvteg4KCnqnHdufOnejSpYtFGLT1OdSoUQOjRo0Sfjb9+Tl58iQmT54MLy8vuLq6Yvz48dDpdMjO\\\n",
       "zsaIESPg5uYGNzc3zJgxA9b+bbp79+7YvXu31fcIIYSUH3FlN4AQQp6npKQktG7dWpiPVb9+fSQm\\\n",
       "JmLHjh1Qq9WQSqXCvu+88w68vLwwZ84cqFQqAMDnn3+OuXPnolu3bpg4cSJiYmKwYsUKXLhwAadO\\\n",
       "nYJEIoFOp0NkZCS0Wi3ee+89+Pr6IjExEXv27EF2djZcXFxw8+ZN9O7dG02aNMG8efMgk8lw9+5d\\\n",
       "nDp1qsj2l+Q4juPQt29fnDx5EuPGjUODBg1w/fp1LF68GHfu3MHOnTuFfefOnYvPP/8c7du3x7x5\\\n",
       "8yCVSnHu3DkcPnwYr7zyCpYsWYL33nsPjo6O+PTTTwEAPj4+Ntu3fv16jB49Gq1atcL8+fORmpqK\\\n",
       "pUuX4tSpU7h8+TJcXV2FfY1GIyIjI9GmTRssWrQIBw8exHfffYdatWph4sSJRX4O69evh6OjI6ZN\\\n",
       "mwZHR0ccPnwYc+bMQW5uLhYuXAjgyTy4nJwcPHr0CIsXLwYAODo62jzn+PHj0a1bN7Nte/fuxebN\\\n",
       "m+Ht7S1sS09PL7JtJk5OTpDJZACAy5cvQ6lUokGDBmb7tG7dWng/LCzM5rkuX76MFi1aWAS91q1b\\\n",
       "Y9WqVbhz5w5CQkJK1K6iJCYmIiEhAS1atHjmc5l+9+fOnYuzZ89i1apVcHV1xenTp1GtWjV8/fXX\\\n",
       "+Oeff7Bw4UI0btwYI0aMMDs+NDQUixcvxs2bN9G4ceNnbg8hhBAbeEIIsSMjRozgWZblL1y4YPEe\\\n",
       "x3E8z/P8unXreAB8WFgYbzAYhPcfP37MS6VS/pVXXuGNRqOw/YcffuAB8GvXruV5nucvX77MA+C3\\\n",
       "b99usx2LFy/mAfBpaWmlan9Jjtu4cSPPsix/4sQJs+0rV67kAfCnTp3ieZ7nY2NjeZZl+QEDBpjd\\\n",
       "D8///2fB8zzfqFEjPjw83OI6R44c4QHwR44c4Xme53U6He/t7c03btyYLygoEPbbs2cPD4CfM2eO\\\n",
       "sG3kyJE8AH7evHlm52zevDkfGhpa9IfA87xarbbYNn78eN7BwYHXaDTCtl69evHVq1cv9nzWxMbG\\\n",
       "8i4uLnz37t3Nfg8AlOi1bt06s3bUrFnT4hoqlYoHwH/88cdFtkWpVPJjxoyx2P7333/zAPi9e/da\\\n",
       "Pc7Wd2fLwYMHeQD87t27Ld4DwH/22WcW26tXr86PHDlS+Nn05ycyMtLs96hdu3Y8wzD8hAkThG0G\\\n",
       "g4EPDAy02sbTp0/zAPitW7eWuP2EEEJKj4aMEkLsBsdx2LlzJ/r06YOWLVtavF94iNzYsWPN5nUd\\\n",
       "PHgQOp0OU6dONeupGTt2LJydnfH3338DAFxcXAAA+/btg1qtttoWU0/Zrl27wHFcie+hJMdt374d\\\n",
       "DRo0QP369ZGeni68TItzHDlyBMCToYEcx2HOnDkWPU9lmTt28eJFPH78GO+88w7kcrmwvVevXqhf\\\n",
       "v77w+TxtwoQJZj937NgRcXFxxV5LoVAI/52Xl4f09HR07NgRarUat2/fLnXbC1OpVBgwYADc3Nyw\\\n",
       "ZcsWs9+DAwcOlOgVGRkpHFNQUCD0Fj7N9DkVFBQU2Z5nPb6kMjIyAABubm7PfK6oqCiz36M2bdqA\\\n",
       "53lERUUJ20QiEVq2bGn1Oze1oaQ9soQQQsqGhowSQuxGWloacnNzSzz8LDg42OxnU022evXqmW2X\\\n",
       "SqWoWbOm8H5wcDCmTZuG77//Hps3b0bHjh3Rt29fDBs2TAiLb775JlavXo23334bH3/8Mbp27YrX\\\n",
       "XnsNb7zxRpHzv0pyXGxsLG7dugUvLy+r53j8+DEA4N69e2BZFg0bNizR51EcW58PANSvXx8nT540\\\n",
       "2yaXyy3a6ObmhqysrGKvdfPmTcyaNQuHDx9Gbm6u2XtPz9Msq7Fjx+LevXs4ffo0PDw8zN4rPKy0\\\n",
       "JBQKhdX5mxqNRni/Io8vLb4c5u1Vq1bN7GfT735QUJDFdmvfuakNlbmwDSGE2AMKhIQQYsOzPGR/\\\n",
       "9913GDVqFHbt2oX9+/dj8uTJmD9/Ps6ePYvAwEAoFAocP34cR44cwd9//429e/di69at6NKlC/bv\\\n",
       "329zxcmSHMdxHEJCQvD9999bPUfhB/LKUtSqmkXJzs5GeHg4nJ2dMW/ePNSqVQtyuRyXLl3CRx99\\\n",
       "VKoeV2uWLl2KLVu2YNOmTWjWrJnF+ykpKSU6j4uLi/A75OfnhyNHjoDnebOAk5ycDADw9/cv8lx+\\\n",
       "fn7Cvk8r6fElZQq/JQnlJrbCo63v19p2a+cwtcHT07PEbSGEEFJ6NGSUEGI3vLy84OzsjBs3bpTp\\\n",
       "eFOR7piYGLPtOp0O8fHxFkW8Q0JCMGvWLBw/fhwnTpxAYmIiVq5cKbzPsiy6du2K77//Hv/99x++\\\n",
       "+uorHD58WBjSaUtxx9WqVQuZmZno2rUrunXrZvEy9eDVqlULHMfhv//+K/J6Je2hsfX5mLaVV5Hz\\\n",
       "o0ePIiMjA+vXr8eUKVPQu3dvdOvWzeowx9L2Lp04cQIffvghpk6diqFDh1rdx8/Pr0SvrVu3Csc0\\\n",
       "a9YMarUat27dMjvXuXPnhPeL0qxZM1y6dMki7J47dw4ODg6oW7duqe7Tlvr16wMA4uPjrb6fl5dn\\\n",
       "sc3U41zeTG0ovBAPIYSQ8kWBkBBiN1iWRf/+/bF7925cvHjR4v3ihsl169YNUqkUy5YtM9t3zZo1\\\n",
       "yMnJQa9evQAAubm5MBgMZseGhISAZVlh2F9mZqbF+U2hwNrQQJOSHDdo0CAkJibi559/tti3oKBA\\\n",
       "WDG1f//+YFkW8+bNswgaT9+fUqm0KKthTcuWLeHt7Y2VK1ea3cO///6LW7duCZ/PszL1MD3dRp1O\\\n",
       "h+XLl1vsq1QqSzyENDk5GYMGDUJYWJiwUqk1ZZlD2K9fP0gkErM28jyPlStXIiAgAO3btzdrx+3b\\\n",
       "t6HX64Vtb7zxBlJTU/HHH38I29LT07F9+3b06dPH6vzCsggICEBQUJDVPx8ALEqM/Pvvv9BoNBVS\\\n",
       "GiI6OhouLi5o1KhRuZ+bEELI/6Mho4QQu/L1119j//79CA8PF0oyJCcnY/v27Th58qRZWYTCvLy8\\\n",
       "MHPmTMydOxc9evRA3759ERMTg+XLl6NVq1YYNmwYAODw4cN49913MXDgQNStWxcGgwEbN26ESCTC\\\n",
       "66+/DgCYN28ejh8/jl69eqF69ep4/Pgxli9fjsDAwCLLD5TkuOHDh2Pbtm2YMGECjhw5gg4dOsBo\\\n",
       "NOL27dvYtm0b9u3bh5YtW6J27dr49NNP8cUXX6Bjx4547bXXIJPJcOHCBfj7+2P+/PkAniz/v2LF\\\n",
       "Cnz55ZeoXbs2vL29hQVqniaRSPDtt99i9OjRCA8Px5AhQ4SyEzVq1MD7779f1q/NTPv27eHm5oaR\\\n",
       "I0di8uTJYBgGGzdutBpKQkNDsXXrVkybNg2tWrWCo6Mj+vTpY/W8kydPRlpaGmbMmIHffvvN7L0m\\\n",
       "TZqgSZMmAMo2hzAwMBBTp07FwoULodfr0apVK+zcuRMnTpzA5s2bzYZRzpw5E7/88gvi4+OFuolv\\\n",
       "vPEG2rZti9GjR+O///6Dp6cnli9fDqPRiLlz55pd6/jx4zh+/DiAJ/NmVSoVvvzySwBAp06d0KlT\\\n",
       "pyLb2q9fP/z5558Ww1sB4NatW+jZsyf69u2LpKQkLF26FC4uLjh9+jS2bNmCIUOGlPqzseXAgQPo\\\n",
       "06cPzSEkhJCKVhlLmxJCSGV68OABP2LECN7Ly4uXyWR8zZo1+UmTJvFarZbn+f9fNt9aaQqef1Jm\\\n",
       "on79+rxEIuF9fHz4iRMn8llZWcL7cXFx/JgxY/hatWrxcrmcd3d35yMiIviDBw8K+xw6dIjv168f\\\n",
       "7+/vz0ulUt7f358fMmQIf+fOnSLbXtLjdDod/+233/KNGjXiZTIZ7+bmxoeGhvJz587lc3JyzPZd\\\n",
       "u3Yt37x5c2G/8PBw/sCBA8L7KSkpfK9evXgnJycegFAioHDZCZOtW7cK53N3d+eHDh3KP3r0yGyf\\\n",
       "kSNH8kql0uL+PvvsM74kfzWdOnWKb9u2La9QKHh/f39+xowZ/L59+yzak5+fz7/11lu8q6srD6DI\\\n",
       "EhTh4eE2S0hYK7dQWkajkf/666/56tWr81KplG/UqBG/adMmi/1MJTni4+PNtmdmZvJRUVG8h4cH\\\n",
       "7+DgwIeHh1v9HTV9hmW9j0uXLvEALMqWAOCnTZvGDxw4kFcoFLyfnx//ww8/8CtXruQdHBz4t99+\\\n",
       "m+d5239+TO0qXDLF2u/CrVu3eABmf2YIIYRUDIbnK2CcByGEEEKqrK5du8Lf3x8bN24UtjEMg88+\\\n",
       "+wyff/55hV9/6tSpOH78OKKjo6mHkBBCKhjNISSEEEKIma+//hpbt24VSok8TxkZGVi9ejW+/PJL\\\n",
       "CoOEEPIc0BxCQgghhJhp06YNdDpdpVzbw8MD+fn5lXJtQgixR9RDSAghhBBCCCF2inoICSGEEFIs\\\n",
       "WnKAEEJeTtRDSAghhBBCCCF2igIhIYQQQgghhNgpGjJKCKmSOI5DUlISnJycaCVCQogZnueRl5cH\\\n",
       "f39/sGzp/+171apVuHz5cqmOad68OcaNG1fqaxFCSGWjQEgIqZKSkpKwevXqym4GIeQFNXfuXDx8\\\n",
       "+BCBgYGlOm7VqlUYP358ma9LoZAQUtVQICSEVElOTk4AQL2DhBCbTP8/URql7Rks67EikQgcx5lt\\\n",
       "My3cs2/fPvTo0cPimKZNm+LKlStlbh8hhFhDcwgJIVUSBUFCSHGe9f8nGIYp0assCofBp23btk34\\\n",
       "b3d3d4hEIgDA1atXy3QtQggpCgVCQgghhJBCShoGyxoKeZ4XXoWtWbNGeC8jIwMGgwFSqRQAUKdO\\\n",
       "nWe+N0IIeRoNGSWEEEIIKaS0QY/neRw5cgQTJ04UtrVv3x7Dhw8vl/bodDoAQLdu3crlfIQQYkKB\\\n",
       "kBBCCCGkkLL0/MXExCAmJkb4eeXKleUSCFetWiX894oVK575fIQQ8jQKhIQQQgghhZQlENarVw8R\\\n",
       "ERHCz+3bt3/mduzbt09Y9XTChAnPfD5CCCmMAiEhhBBCSCFlCYQRERHl2oP39GqjvXv3pt5BQkiF\\\n",
       "oEVlCCGEEEJeME+HwS5dumD37t2V3CJCyMuKAiEhhBBCSCEVvcroxx9/DAcHBzg4OAjbHBwcUKdO\\\n",
       "HbMw6ODggPz8fLRp0wZt2rTB77//Xm73SAghAA0ZJYQQQgix8Cw1BktiwYIFFiUnCgoKcPfuXYwb\\\n",
       "N07Yplarcf78eeHngQMHFlnDkBBCSosCISGEEEJIIRUdCCnUEUJeFBQICSGEEEIKqehASAghLwoK\\\n",
       "hIQQQgghhVAgJITYC1pUhhBCCCGEEELsFPUQEkIIIYQUQj2EhBB7QT2EhJAS++abb8AwDKZOnVrk\\\n",
       "ftu3b0f9+vUhl8sREhKCf/75x+x9nucxZ84c+Pn5QaFQoFu3boiNja3AlhNCSOlUdNkJQgh5UVAg\\\n",
       "JISUyIULF/DTTz+hSZMmRe53+vRpDBkyBFFRUbh8+TL69++P/v3748aNG8I+CxYswLJly7By5Uqc\\\n",
       "O3cOSqUSkZGR0Gg0FX0bhBBSIhQICSH2ggIhIaRY+fn5GDp0KH7++We4ubkVue/SpUvRo0cPTJ8+\\\n",
       "HQ0aNMAXX3yBFi1a4IcffgDwpHdwyZIlmDVrFvr164cmTZpgw4YNSEpKws6dO5/D3RBCSPEoEBJC\\\n",
       "7AUFQkJIsSZNmoRevXqhW7duxe575swZi/0iIyNx5swZAEB8fDxSUlLM9nFxcUGbNm2EfazRarXI\\\n",
       "zc01exFCSEWhQEgIsRcUCAkhRfrtt99w6dIlzJ8/v0T7p6SkwMfHx2ybj48PUlJShPdN22ztY838\\\n",
       "+fPh4uIivIKCgkpzG4QQQgghxAoKhIQQmx4+fIgpU6Zg8+bNkMvlldqWmTNnIicnR3g9fPiwUttD\\\n",
       "CHm5UQ8hIcReUNkJQohN0dHRePz4MVq0aCFsMxqNOH78OH744QdotVqIRCKzY3x9fZGammq2LTU1\\\n",
       "Fb6+vsL7pm1+fn5m+zRr1sxmW2QyGWQy2bPeEiGElAgFPUKIvaAeQkKITV27dsX169dx5coV4dWy\\\n",
       "ZUsMHToUV65csQiDANCuXTscOnTIbNuBAwfQrl07AEBwcDB8fX3N9snNzcW5c+eEfQgh5EVAvYOE\\\n",
       "EHtAPYSEEJucnJzQuHFjs21KpRIeHh7C9hEjRiAgIECYYzhlyhSEh4fju+++Q69evfDbb7/h4sWL\\\n",
       "WLVqFQAIdQy//PJL1KlTB8HBwZg9ezb8/f3Rv3//53p/hBBiS2nCHoVCQkhVRoGQEPJMEhISwLL/\\\n",
       "P9igffv2+PXXXzFr1ix88sknqFOnDnbu3GkWLGfMmAGVSoVx48YhOzsbYWFh2Lt3b6XPUySEEBMK\\\n",
       "hIQQe0GBkBBSKkePHi3yZwAYOHAgBg4caPMcDMNg3rx5mDdvXjm3jhBCygcFQkKIvaA5hIQQQggh\\\n",
       "hBBip6iHkBBCCCGkEOohJITYCwqEhJCXnoODQ2U3gRBSjtRqdYVfgwIhIcReUCAkhLzUHBwcMH36\\\n",
       "9MpuBiGkHC1cuLDCQyEFQkKIvaBASAghhBBSCAVCQoi9oEBICCGEEFIIBUJCiL2gVUYJIYQQQggh\\\n",
       "xE5RDyEhhBBCSCHUQ0gIsRcUCAkhhBBCCqFASAixFxQICSGEEEIKoUBICLEXFAgJIYQQQgqhQEgI\\\n",
       "sRcUCAkhhBBCCqFASAixF7TKKCGEEEIIIYTYKeohJIQQQggphHoICSH2ggIhIYQQQkghFAgJIfaC\\\n",
       "AiEhhBBCSCEUCAkh9oICISGEEEJIIRQICSH2ggIhIYQQQogVFPQIIfaAVhklhBBCCCGEEDtFPYSE\\\n",
       "EEIIIYXQkFFCiL2gQEgIIYQQUggFQkKIvaBASAghhBBSCAVCQoi9oEBICCGEEFIIBUJCiL2gQEgI\\\n",
       "IYQQUggFQkKIvaBASAghhBBSCAVCQoi9oLIThBBCCCGEEGKnqIeQEEIIIaQQ6iEkhNgLCoSEEEII\\\n",
       "IYVQICSE2AsaMkoIIYQQUogpEJb0VVoikajIc+Tk5Fi87+XlVV63RwghAgqEhBBCCCGFVHQg5Diu\\\n",
       "yPddXV2F/3ZwcAAApKenY9WqVaW+FiGEFIUCISGEEEJIIRUdCHmeF16F5eTkmO2nUqkwZswYAMD4\\\n",
       "8ePLflOEEGIFBUJCCCGEkBdIo0aNAAAKhULYtmbNmspqDiHkJUeLyhBCCCGEFFKWRWWOHDmCiRMn\\\n",
       "Ctvbt2+P4cOHl/raKSkpAICGDRuW+lhCCCktCoSEEEIIIYWUJRDGxMQgJiZG2L5y5coyBUJCCHme\\\n",
       "KBASQgghhBRSlkBYr149RERECNvbt29fpmv7+voiMTER//33X5mOJ4SQ0qBASAghhBBSSFkCYURE\\\n",
       "BFasWPHM17558yZcXV1RUFAgbHt6KCohhJQnCoSEEEIIIYVUdGH6jz/+GMuWLTPb5uDggICAAMTG\\\n",
       "xpqdW6lUQqVSAQB++umnUl+LEEKKQoGQEEIIIeQ5W7BggUXJiYKCAty9excAkJ2dLdQiNIVBDw8P\\\n",
       "jBs37rm2kxDy8qNASAghhBBSSEX3EBZXmN7FxcVqjUJCCClvFAgJIYQQQqwoS9AjhJCqhgIhIYQQ\\\n",
       "QkghFd1DSAghLwoKhIQQQgghhVAgJITYCwqEhBBCCCGFUCAkhNgLCoSEEEIIIYVQICSE2Au2shtA\\\n",
       "CCGEEEIIIaRyUA8hIYQQQkgh1ENICLEXFAgJIYQQQgqhQEgIsRcUCAkhhBBCCqFASAixFxQICSGE\\\n",
       "EEIKoUBICLEXFAgJIYQQQgqhQEgIsRe0yighhBBCCCGE2CkKhIQQ8gIz9VKYXizL4v3336/sZj03\\\n",
       "HMchPj4eUVFR8Pb2hlQqhUgkAsuyFp+NtVfTpk3B87zN82s0GowZMwYuLi6QyWSQSqUlPvezvliW\\\n",
       "Ra1atfD9999jzZo16NixI8RicYVc5+nPjJRMaT9nQgipqmjIKCGEvMAYhjELNCzLomnTppXYoucv\\\n",
       "NzcX0dHRyM7OhsFgKDLgFVajRo0iH9YNBgPu378PrVYLo9FYqnM/K57n8ejRI6xduxbe3t6IjY0F\\\n",
       "x3EVcp3neV8vCxoySgixFxQICSHkBSaRSMBxHDiOA8MwCAoKQs+ePSu7Wc8NwzDIyMhAfHw89Hq9\\\n",
       "1fdthR2GYTBkyJAiz5+amoobN25Ap9NVSmjS6XS4desW7ty589wDKSkaBUJCiL2gQEgIIS+wGTNm\\\n",
       "ICcnB2lpaQgICMCECRPg5eVV2c16bhiGgUwmg1artXhPJBIhODgYAQEBuH37NnJycqDVaoVQ5eHh\\\n",
       "gVdffdXmuTmOw5IlS5CRkVHqICaRSCCTyaBWq5+5V88U+MmLhQIhIcRe0BxCQohN8+fPR6tWreDk\\\n",
       "5ARvb2/0798fMTExxR63fft21K9fH3K5HCEhIfjnn3/M3ud5HnPmzIGfnx8UCgW6deuG2NjYirqN\\\n",
       "Km3u3LlYsmQJNm3ahIULF6J27dp29/BZv359KJVKs20Mw6BPnz64fPkyDh8+jMTERGRnZ+P06dOI\\\n",
       "iopCVFQUjh07BmdnZ5vnPX/+PH7++edShzGFQoElS5YgOjoaK1asgJOTU5nuq6LZ2+9JeaM5hIQQ\\\n",
       "e0GBkBBi07FjxzBp0iScPXsWBw4cgF6vxyuvvAKVSmXzmNOnT2PIkCGIiorC5cuX0b9/f/Tv3x83\\\n",
       "btwQ9lmwYAGWLVuGlStX4ty5c1AqlYiMjIRGo3ket1WlsCwrLApirw+d7u7uWLRoEeRyORiGgUgk\\\n",
       "QpcuXfDbb7/B0dFR+HxkMhnatm2L1atX4+eff0aDBg2sfmY8z+P06dPo0qWL1Z7HorAsi3Xr1mHi\\\n",
       "xImoW7cuxo0bh3v37iEgIKC8bveZeXp6YsGCBViyZAn8/f0ruzmEEEJecDRklBBi0969e81+Xr9+\\\n",
       "Pby9vREdHY1OnTpZPWbp0qXo0aMHpk+fDgD44osvcODAAfzwww9YuXIleJ7HkiVLMGvWLPTr1w8A\\\n",
       "sGHDBvj4+GDnzp0YPHhwxd4Uee7UajXy8vLg5uYGqVRa6uMZhsHIkSMRHh6OY8eOoUGDBggNDYVE\\\n",
       "IinymKdxHAej0Yi0tDRMnjwZO3fuhNFoLHVbatWqhddff93s/F5eXjhz5gzq168PtVpd6nOWF4Zh\\\n",
       "0Lt3b2zfvh0ymQw8z2PgwIFo0KABcnJyKq1dVRUNGSWE2AvqISSElJjpodLd3d3mPmfOnEG3bt3M\\\n",
       "tkVGRuLMmTMAgPj4eKSkpJjt4+LigjZt2gj7WKPVapGbm2v2Ii82nufxyy+/wNfXF9WqVUPbtm2L\\\n",
       "7F0uCsuyqFmzJkaPHo22bdsWGQYLt+H+/fsYM2YMgoKCUL16dfz+++9lCoMMw2D27NkQiy3/LTUw\\\n",
       "MBBRUVGlPmd5YRhGCLoymUzY5uvri88//xwsS3/dlxYNGSWE2Av6G4IQUiIcx2Hq1Kno0KEDGjdu\\\n",
       "bHO/lJQU+Pj4mG3z8fFBSkqK8L5pm619rJk/fz5cXFyEV1BQUFlv5aXC8zy0Wi00Gk2ZFybheR5Z\\\n",
       "WVmIi4sr1x6uXbt2YcyYMcjLy4NOp8OVK1fw888/l9v5S0Kn02Hw4MHYsGEDUlNTYTAYynwukUiE\\\n",
       "V155xep7DMPgww8/LHFQLU8SiQQ//PADFi9ebBH8GIbBqFGjEBQURKGllCgQEkLsBQVCQkiJTJo0\\\n",
       "CTdu3MBvv/1WKdefOXMmcnJyhNfDhw8rpR0vGqPRiMePH+O///7D48ePSx0KtVotVq9ejcaNG6NZ\\\n",
       "s2bo168f8vLynrldBQUFGD58uFl7eJ7H/v37izwuNTUVZ8+eLXEbirtfjuMQFxdXLuUcAgMD4eHh\\\n",
       "YfN9f39/VK9e/ZmvU5hIJIKXlxfatGmDV155Ba1atUJwcDCCg4Px5ptv4t69e3jnnXdshhJnZ2cs\\\n",
       "WbIEPj4+lRJYqzIKg4QQe0BzCAkhxXr33XexZ88eHD9+HIGBgUXu6+vri9TUVLNtqamp8PX1Fd43\\\n",
       "bfPz8zPbp1mzZjbPK5PJhKFw5P+xLAuJRAK1Wo2MjAy4u7uXaJ6ewWBAdnY2vvvuO/zvf/+DWq0G\\\n",
       "z/M4fvw49u7di4EDBz5Tu/744w/k5+dbbK9Ro4bNY3bt2oXBgwdDr9ejRo0auHLlChwdHa3uy/M8\\\n",
       "YmJisHv3bvTo0QONGze2+mAuk8kQGhqKffv2mYVC075F1TBkWVao/+jk5IRff/3V6nBRE7FYjM8/\\\n",
       "/xwjR44s05DUwkyL56xcuRJBQUHCwkJPF5pnWbbYQMKyLCIjI7F8+XL8/vvvz9wue0FzCAkh9oIC\\\n",
       "ISHEJp7n8d577+HPP//E0aNHERwcXOwx7dq1w6FDhzB16lRh24EDB9CuXTsAQHBwMHx9fXHo0CEh\\\n",
       "AObm5uLcuXOYOHFiRdzGS41lWXh6egplGUQiUbHHcByH9PR0nDp1Cnv37jWr3QcA2dnZ4Hne5kOu\\\n",
       "0WhEZmYmgCfzSQtf02g0YvXq1Vbb+s4771g9p1arxbBhw4SVZuPi4nDo0CFh4aHCYmNjERYWhpyc\\\n",
       "HCxZsgRXrlyBp6enRZtZlsXatWvx6quvIj4+Hs7Ozujbty969uwJhUKBGzdu4N9//0VsbCwMBgOq\\\n",
       "VauGfv36ISIiAu7u7khPT4fRaESdOnXg5uZm4xP9fwMHDsS5c+ewfv16aDQa8DxfojqDpgBqCvjB\\\n",
       "wcFYvXo1WrdubXUYaGnJ5XJERkYiNDS01McSQgh5uVEgJITYNGnSJPz666/YtWsXnJychDl+Li4u\\\n",
       "UCgUAIARI0YgICAA8+fPBwBMmTIF4eHh+O6779CrVy/89ttvuHjxIlatWgXgycPs1KlT8eWXX6JO\\\n",
       "nToIDg7G7Nmz4e/vj/79+1fKfVZ1YrG4VLXwGIaBUqlESEgIRo4ciXXr1uH+/fsAgGbNmqF37942\\\n",
       "QwfP8zhx4gSmTp2K3Nxc9OvXDzNnzoSnpydYlgXP88jJyUFGRobFsf7+/qhXr57V86alpVnMX3z0\\\n",
       "6JHVffV6Pfr06SNcIzk5GatWrcLUqVMt6hUCT3qljx8/DpVKJfSgmu6vS5cumDx5shCIC993UT2a\\\n",
       "1kilUixevBgfffQR7t69i9u3b2Pfvn04evQocnJyzIKhSCSCq6srunXrhhEjRqB27dqQSqWQyWRw\\\n",
       "c3ODXC4v1bWLwjAMFAqF0ENPikc9hIQQe0GBkBBi04oVKwAAnTt3Ntu+bt06jBo1CgCQkJBg1oPR\\\n",
       "vn17/Prrr5g1axY++eQT1KlTBzt37jRbiGbGjBlQqVQYN24csrOzERYWhr1795brAzCxzTQE0tHR\\\n",
       "Ee+99x7GjRuHnJwcGAwGuLu7w8HBweaxeXl5GD9+PGJjY8HzPJYtW4ZffvkFI0aMwMiRI+Hh4YHE\\\n",
       "xERUq1YNMTEx0Ol0AJ6EnxEjRtgccimTySASiYTAxLIsWrRoYXXfkydPIjY2VviZ53msWLECoaGh\\\n",
       "6NGjh9X7dXZ2LrJIfXk+0ItEIgQEBCAgIABhYWF47bXX8NNPP2HFihVIT08Hz/NQKpUYOHAgvvji\\\n",
       "C3h5eT2XVUBNNRxJyVAgJITYCwqEhBCbSrIQx9GjRy22DRw4sMg5aAzDYN68eZg3b96zNI88I1NA\\\n",
       "cHBwKDIEPu3ixYuIj48Xfjc4jkNWVhaWLVuG1atXo0mTJujevTtCQkLw4MEDxMbGQq/XQywWIy0t\\\n",
       "DXq93uocR3d3d3Tu3BmHDx8Gz/No2rSp1TmlPM9jxowZFr+bycnJmDx5Mm7cuFGmWocVRSQSwcPD\\\n",
       "A1FRUdDpdNi5cycMBgNee+01zJgxo8iQWhGKGgpclUyZMgWurq4Veg0KhIQQe0GBkBBCSIlwHIe1\\\n",
       "a9dCr9dbvMfzPFQqFc6fP4+srCx06dIFAQEBePDgAfR6PXQ6HTZu3AiDwYAlS5ZYBCGRSIS//voL\\\n",
       "u3btQn5+Pl577TVhWHLhNty7d8/q9rt372LYsGH44Ycf4OLiAp7nYTQaIZFIKjUksiwLb29vvP32\\\n",
       "2wgICIBarUa/fv2KHebLcRx4ni/RwjElpdVqy+U89oACISHEXlAgJIQQUiLp6en4559/itzHaDTi\\\n",
       "3r170Ol0KCgogFqtFoaBajQarFu3Dtu3b8fBgwfRpk0bs2PlcjnefPPNIs/PMAw8PT2RlZVl8R7P\\\n",
       "89ixYwd2794NBwcHSCQS+Pj44PPPP0ffvn0rdbikaRjpoEGDoFar4eHhUWSIMBqNOHPmDP766y+E\\\n",
       "hoaib9++VgNyafA8j7t37z7TOewJBUJCiL2gQEgIIaRYWq0W7733HrKzs4vdV6/XIyEhwebqmvn5\\\n",
       "+ejZsycSExNLPW+UZVls2bIFHTt2REFBgcX7PM9Do9EIq5U+fvwYX375JXr27Fnp8+dMi8g4OzsX\\\n",
       "O2cwISEBb7zxBtLT0yESidCvXz9s2rTpmXo6OY5DdHR0mY+3NxQICSH2ggrTE0IIKZLBYMCiRYvw\\\n",
       "xx9/lLjAu9FoLLLUgkqlKvPwxdDQUCQmJmLu3LmoVq1akbUBeZ5Henr6Mz2w63Q6xMfHIy4uTlgk\\\n",
       "p6xM8zaLa8/atWvx+PFjGI1G6HQ6/Pnnn9i/f7/N/UtS2oJlWVpllBBCiAUKhIQQQop069YtzJ8/\\\n",
       "HwaDodzO2aRJk1KVyijMzc0Nc+bMEYJaq1atbC6MU7du3SJDY1GysrIQERGB+vXro0GDBujevTtU\\\n",
       "KlWZ210SPM/j4sWLZuHbYDBg+vTpFr2iPM8jLS0NS5cuxbfffovk5GSb52UYxmLFYGKbqYewpC9C\\\n",
       "CKmqKBASQgixied57N+/3+rwTFtEIhFcXFzg6OhoMTSSZVm0bNkSR48eLZdSCyzLIigoCKdOncK1\\\n",
       "a9fg6elp9r5EIsFnn31W5mstXboUZ8+ehU6ng06nw4kTJzB58mSbvXE8zyM7OxvJycnPFKDr169v\\\n",
       "sS02NhbfffcdtFotOI6DTqfDX3/9hZCQEEyfPh2fffYZ3nrrLYt6jk8r6WqyhAIhIcR+UCAkhBBi\\\n",
       "E8MwqFmzZokDlVQqxYABA7B7926cOHECa9aswcCBA9GpUye8++67uHnzJs6dO1fuwUQikaBWrVq4\\\n",
       "c+cOevbsCScnJ7i6umLGjBlo27Ztmc97+/Zts/DH8zw2b95sdXEWo9GIzZs3o1GjRkJIsxUKOY5D\\\n",
       "RkaGUIrjaQzDYMqUKRbzK41GI+bNm4dOnTph3LhxCA0NxRtvvIHU1FQYjUbo9XqhLAh5dhQICSH2\\\n",
       "ghaVIYQQUqQePXqgf//+2LVrl9WSE8CTh2d3d3csXrwYgwYNgkwmAwA0a9YMo0aNem5tdXNzw+7d\\\n",
       "u5GTkwOj0Qg3N7dnWkwmMjIS27dvNwuFWq0Wffv2xalTp+Du7g4AUKvVmDBhArZs2QKj0QgA+N//\\\n",
       "/ofQ0FAMGzbM4rxHjx5FVFQUsrOzUb9+fWzYsAG1a9cWgkX16tXxww8/YMKECWahUq/X4/z587hw\\\n",
       "4YLV+ZzPo8C9vaBFZQgh9oICISGE2CGe54Uad8VRKBTYsmUL7ty5g61bt+LAgQOIi4tDXl4eOI6D\\\n",
       "g4MDevTogW+//RYBAQGV/nDMsizc3NzK5Vz9+vXD7NmzkZiYaLb9zp07aNq0KaKiosAwDNauXYtH\\\n",
       "jx6ZhTSj0YiPPvoIgwcPNpvDmJ+fj4EDByIzMxMAcPbsWbzyyiu4fv06HB0dATwJGKNHj0Z2djY+\\\n",
       "/vhji55Ga2FQIpGgb9++CA4OLpd7t3cUCAkh9oICISGE2KHk5GQkJCSgefPmQm9eUcRiMRo2bIi5\\\n",
       "c+fis88+g1qtRlxcHFJSUhAcHIwaNWpAIpE8h5Y/Xy4uLli/fj2GDBmC9PR0YTvP80hMTMQXX3wh\\\n",
       "/GxNeno6srOzzeY2Xrp0yaKOYmJiIlJTU4VACDwJtlOnTkVsbCxWrVpl8xoikQhBQUGYNWsW3nzz\\\n",
       "zWKH45Z0pdgX2cKFC4ucK0kIIaTkaGwJIYTYoRMnTmDTpk1mIaekWJaFo6MjQkJC0K1bN9SpU+el\\\n",
       "DIPAk56fjh07Yvfu3ahRo4ZFT5Cpp7UohT9jU8/g00wL8VjbvmTJEqu9fgzDoHr16ti5cydu3bqF\\\n",
       "MWPGmAVK8mxoDiEhxF5QICSEEDsUEhKCiIgIqyGkpBiGKfWcNdMqnPfv30dGRka5lrIoD0ajEUlJ\\\n",
       "STh37hz+++8/6HQ6iMVitGjRAj///LPFQi/FUSgUFrULW7ZsCaVSKfzMMAx69eolzEcsTC6X4++/\\\n",
       "/4abm5sQPhQKBaZMmYIbN26gd+/ekMvlFErKGQVCQoi9oEBICCF2qH79+ujbt+9z7VHSarXo168f\\\n",
       "fHx8UKtWLfj7+6Nx48bYunUrcnJyoNfrYTAYhFd5DW00lWgornC70WjE4sWL0bBhQ4SFhaFly5bY\\\n",
       "vn079Ho9RCIRmjZtCm9v72KvJxKJIJfL4eHhgQ4dOkAul5td28/PDxs2bEBwcDC8vLwQFRWFjRs3\\\n",
       "Fhmu69WrhyNHjiAqKgpTpkzBlStX8N1331GPYAWiQEgIsRc0h5AQQuwQy7LPvCIlz/PgOK5Eq3jy\\\n",
       "PI9BgwZh9+7dwjadToeYmBgMHToU3t7eaNu2LQICAoQ6e9WrV0dERAQaN24MJycnsCwLhmGEoMjz\\\n",
       "fLEP43q9HqtXr8aOHTvQvXt3TJ061WYv3/Xr1zF79mxoNBoAT4rBf/DBB2jTpo0wXFQqldq8llgs\\\n",
       "xoABA/Dhhx/C3d0deXl50Ol0cHR0BMdxwuctEonQr18/REZGgud5KBSKYr8LhmHQpEkTrFy5skw9\\\n",
       "s6T0aFEZQoi9oEBICCGk1PR6PU6ePInExET07dsXzs7ORe5/7do17Nmzx+p7RqMRycnJ2Llzp8WD\\\n",
       "9dy5cyEWi+Hq6opatWohKCgIKpUKCQkJUKlUqF27NhYuXIjGjRtbnd+3YMECfP755zAYDDhy5Ai2\\\n",
       "bNmC06dPmw3ZBJ70In7wwQdCGDTJzs7GzZs3ERgYCK1WazH804RhGHzxxReYPn26EJB5nodGo4Fa\\\n",
       "rYZOp4NIJBLayLJsqWsxMgzzTCU0SOlQICSE2AsKhIQQQkpFpVLh/fffx+bNmwE86VmbP3++zV6r\\\n",
       "goICvPLKK8UO2bS1QIvRaERqaipSU1Mt3rt37x4OHTqEpUuXYtiwYWbBNCUlBV999ZUwT5HneVy7\\\n",
       "dg0tWrTA1atXzXoKU1JScP78eYvzOzg4oH79+hCLxWalIwqrUaMGpk2bZhbYGIaBXC6HwWBAVlaW\\\n",
       "UKKDevcIIYS8SOhvJUIIIRZ4noder0dBQQE0Gg10Oh0KCgpw48YNdOvWDWvWrIFarYZarcaff/5p\\\n",
       "s2C9RqNBq1at8Pjx4wprq8FgwNSpU9GnTx9otVph2+eff46CggKL/e/cuYMOHTogJycHHMehoKAA\\\n",
       "S5YssegdZFkW69evR926dSGRSODs7GxWPsJEJBLh559/tjqclGEYiMVi3Lt3Dzt37sT58+eRnZ0t\\\n",
       "FK+3heO4YgM0qVg0h5AQYi+oh5AQQogZrVaLmzdvIjo6GlqtFi4uLtDpdDh8+DD+/fdfZGdnW/Tk\\\n",
       "Wev1UqvVCAkJQVxcXIW3Wa/X4+zZs/j777/RrVs3xMXFYdu2bTb3v3TpEpo3b46JEyciNzcXv/32\\\n",
       "G4An9yESiVC9enUsXboUr776qvCwL5PJ0KtXL1y+fFkIawzDoHv37ggPD7d5LbFYjP/++w/ffvst\\\n",
       "cnNz4enpiREjRmDixInCyqEmHMchMzMTMTEx8Pb2RnBwcJE9k6XBcRzy8vKeaWVZe1NRQe/69eto\\\n",
       "0qSJxfbs7Gz6fgghzx0FQkIIeckZjUakp6cjMTERDg4O8PPzExZpMeF5Xgh9s2fPxt27d4Uhjkql\\\n",
       "Erm5ucjOzrZaJqJFixYWoYXneXzyySfPJQyaGAwG/Pjjj8jMzMSvv/6K3NzcIvePj4/Hp59+ColE\\\n",
       "Ao7jIJVKUaNGDSxevBgREREWtRVZlsXkyZPxzz//4MaNGxCJROjfvz9WrlxZZGgTiUTIzc1FUlIS\\\n",
       "dDodMjMz8dlnn2HPnj349ddfUa1aNbAsC47jkJGRgT/++AOnTp1Ct27dUK1atXIJhFqtFh9++CE2\\\n",
       "btyI7OzsZz6fPajIOYRPh8Fq1aohISEBAODq6lpuq+sSQkhJUSAkhJCXGMdxuHHjBubMmYPLly9D\\\n",
       "q9XC0dER3bt3R1hYGAIDA5Gbm4t//vkHf/75J9LT0816vzQajVASwtowR4Zh0KdPH6sLuly4cOG5\\\n",
       "3KOpHSzLIjY2FosWLcL9+/dLNORSr9cLZSX8/f2xYcMGtGjRwuYDvru7O44cOYK0tDQ4OzvDzc2t\\\n",
       "2DmBLMuiUaNGZu0xGo24ePEivv76a3zzzTdwdnaG0WiESqUCx3GoVq0aQkJCLEJpWfA8jzlz5mD5\\\n",
       "8uU0DLUUnseiMk+HPxp2SgipLBQICSHkJZaVlYVFixbh2LFjUKlUMBqNSEtLw6pVq/Dzzz8DsL2Y\\\n",
       "i2k7y7JF9lrUqFHDYhvLspg6dSrOnj1bphDi4uKCYcOGwd3dHatXr0ZycrLNfU3lIKRSKVQqFVJT\\\n",
       "U22uBmqLqcyFtdVKC1/L0dGx1PX/OnToAIVCgby8PGGb0WjEnTt3oNPphLmG3t7e6Nu3LxiGgbe3\\\n",
       "d7Fh0xTSi1p9tKCgAP/73/8oDJZSWQLhkSNHMHHiRGF7+/btMXz4cJvHeXp6Ij093WLVW0IIeZ4o\\\n",
       "EBJCyAssLi4OCoUCbm5uNuvn2cJxHG7evCn0DHIcZxbsihuaxjAMvLy8UL9+fURHR1sdgsnzvM2h\\\n",
       "ma+//jqWLVuGOXPmQK1WQ6lUokmTJmjYsCFiYmJw+vRpqNVqi2tGRkZix44dwkPy9OnT0aBBAyQm\\\n",
       "Jlpcg2VZ+Pr6olq1atBqtbh7967NBW6KExoaWmSdwWfh4uKCadOm4YsvvhCCGcuyCA0NhZubm1CS\\\n",
       "QiQSQaFQlCiMGI1GxMfHQ61Wo27dujZ/P2JiYiwWzCHFK0sgjImJQUxMjLB95cqVVgPhgwcPUL16\\\n",
       "dWRkZJhdg4aLEkIqAwVCQgh5gbVp0wYKhQLt27fHggULUK1atRIfayoc7+TkBJlMBoPBYLM30Bql\\\n",
       "UonNmzcjJCQEf/31FyZMmGA1bEVHR+PVV1+12M6yLCZNmoS3334bOp0OUqkUEolEKC6fnZ2Nr7/+\\\n",
       "GuvWrYNarYabmxuWLVuG1157zaxnzMnJCb/99hs6depk1naWZTFgwADMmTMHOp0O0dHRmDlzptX7\\\n",
       "YxgGDg4OcHBwQG5urrAaqYlMJsOYMWMqbNgewzD49NNPcf/+fWzbtg1GoxGNGzfGBx98AJlMJly3\\\n",
       "NCEkLy8Py5cvR1xcHN5//3107NjRao/irVu3KGg8J/Xq1UNERITwc/v27a3uV716deG/lUolVCoV\\\n",
       "AAh/Nggh5HmiQEgIIS8wUw/CX3/9BRcXF/zvf/8rcS+WSCRCu3bt8NNPP+GPP/7A/v37ER8fj/z8\\\n",
       "fBQUFFj0GD5NqVTi7t278PHxAQCMGTMG9evXR8eOHS2GHu7cuROzZs2y2Q6ZTAaZTGa2jWEYuLu7\\\n",
       "Y9GiRVi0aFGx99KhQwdMnjwZP/zwAziOg7u7O6Kjo4UHa57n0bRpU1y4cAHr1q0zayPLsujVqxfW\\\n",
       "r18vrOCYk5ODgwcP4uTJk2jQoAGGDBkCV1dXq9c2Go04cuQIvv/+e7i5uWHmzJlo2LBhqesJSiQS\\\n",
       "rF+/HmvXroXRaIRYLH6mAFpQUIBjx47h7t27iI2Nxfbt29GwYUOL/Ro1akRBowzK0kMYERGBFStW\\\n",
       "lPgaNIeQEPIioEBICCEvMLFYDJFIBDc3N7Rv377IuWLWyGQyNGjQAOPHj0doaCguXrwIrVYLZ2dn\\\n",
       "JCUl4dixY7h3754wpJRhGDg7O2P//v1CGDRp27Yt2rVrh1OnTpltT09PB8/zFfpAyzAMFi5ciIiI\\\n",
       "CKSkpGDw4MFmy/MzDAOJRIIvvvgCR44cwf3794X5j82aNcPPP/8Md3d3YX93d3cMGjQIgwYNKvba\\\n",
       "ycnJiIqKwqNHjwAAu3btwsKFCzF+/PgyFZlnWbZcitO7uroiODgYd+7cQVJSEjZu3Ih58+ZZLERT\\\n",
       "v359uLu7IyMj45mvaU+ex6IyhBDyIqBASAghL7C2bdvC3d0d/fv3x2uvvVbqQAg8CZVubm6oVasW\\\n",
       "OI6Dv78/mjZtKpQzMBgMSEtLw+3btyEWi9G8eXM4OztbnIdlWezatQtBQUFmBd/LI9yUhEQiQb9+\\\n",
       "/Yrcx9fXF8ePH8fy5ctx7949dO3aFYMGDXqm2m63bt3C48ePhV5HlUqFDz74AKGhoWjdunWZz/us\\\n",
       "5HI53n77baHY/f79+zFu3DgEBweb7SeTyXDu3Dl06dLF6jxMYt3zCIQMw5iVnSCEkMrwfP4WJ4QQ\\\n",
       "Uia//fYb1q5di6FDh8LJyanM59FoNDhx4gR27NiBq1evQiwWCz1VUqkUAQEB6Nq1K8LDw62GQRMP\\\n",
       "Dw+sWLHCLASGhISUuV3ljWEYBAQE4IsvvsCvv/6Kt99++5kLfTs7O1vUAtRoNPjuu+8qdeVOhmHQ\\\n",
       "qVMn9O7dGwqFAqmpqfjjjz+szvOsVasW7t27h5SUlEpoadVkCoQlfZXGlClThP9+Ogzu2LGj3NpP\\\n",
       "CCElRYGQEEJeYP7+/nB3d3+menRGoxG7d+/Gp59+iq1bt2LGjBmlLsvwtKFDh6Jr166QSCRwdHTE\\\n",
       "rFmzXrghc6awWx7tqlevHho3bmzRE5qVlVXp8/IUCgUmTpyImjVrQq/X4/fff8edO3estkssFsPT\\\n",
       "07MSWlk1VWQgXLJkibDA09Ov119/vYLuhhBCbKNASAghLzmDwYC//voL2dnZ0Ov1yMnJQWpqapnP\\\n",
       "JxKJMHr0aPj4+KBx48aoU6dOObb2xePg4ICIiAiz1UBN5S4qG8Mw8PX1RWBgIAAgJSUFZ86cEeoT\\\n",
       "EkIIIcWhQEgIIVWYwWCASqVCQUGBzRCQl5eHgwcPCu9zHIfRo0eXuXeLYRh069YNCxYswKZNm555\\\n",
       "SOaLTiqVYvr06Rg1ahTc3d2hUCjg4+ODkSNHPrf5k0VxcnJCaGgoACA1NRVfffUVTp8+Xem9l1Vd\\\n",
       "RfYQEkLIi4QWlSGEkCqI53mcPXsW7777LhITE+Hh4YHRo0dj3LhxFnMAxWIxDAaD2bYzZ85Ao9FA\\\n",
       "oVCU+toGgwGpqamoUaMGAgMDK/VhWKVS4dy5c0hPT0dQUBBatmxZ6uG1JVkh1dXVFd9++y169OiB\\\n",
       "EydOoFGjRmjduvVzuXeO42AwGGA0GiESiYT5nyYMw8DJyQl6vR5arRYPHz7E8OHDcebMGfj7+1d4\\\n",
       "+15WtMooIcReUCAkhJAq6MyZM+jatSs0Gg2AJz1Ds2fPRnZ2Nj7//HOzRVCcnZ1Ru3ZtXLlyRdhm\\\n",
       "NBqh1+tLFQh5nsejR48wbdo0XL16FV27dkXz5s3L7Z5Kg+M4pKWl4fPPP8fvv/8OvV4PZ2dn/PTT\\\n",
       "T4iMjCzRAzrHccjNzYVKpYKbmxsUCoXN40yhq2fPnujcubNQ6P554DgOjx8/RnR0NHJzc4Vhuqbv\\\n",
       "TqPR4OHDh2a9xKZQuH///jKtTEsoEBJC7Eflj3UhhBBSKgaDAe+++64QBk20Wi22bdtmsV0kEmHb\\\n",
       "tm1mxeG9vb1LFWh4nseSJUtQq1Yt7NixA7Gxsfjll18qfNVKnueh0+mQnZ2N9PR0ZGVlITs7G0lJ\\\n",
       "STh58iRu3boFg8EAg8GAgoICXLlyxaI31NZ5k5OTsWzZMsycORPbt2+HWq0u9jixWAxnZ2colUqw\\\n",
       "LGsxLNO0OAjHcTAajTAYDNDpdNBqtdBqtdDpdGVamTQ1NRV//vknli5diunTp2Pt2rWIi4tDZmYm\\\n",
       "YmNjceTIEbOFgniex/Hjx3H9+vVSX4s8QUNGCSH2gnoICSGkiikoKEB2drbV9yQSidUeoTp16uD4\\\n",
       "8eN44403kJOTgwMHDliUUijKjRs3MH36dLN5igUFBdi9ezfee++9Ut9DSRiNRqSnp2Pfvn04dOgQ\\\n",
       "CgoKUK9ePbRv3x41atRA48aNMW/ePNy8eRNJSUlwcHBA165dSxS4srKyMGvWLPz777/Q6XS4fv06\\\n",
       "GjRogFatWpXo4d4UBjmOQ0FBAR48eIAjR47gxo0bYFkWNWvWRL169eDj4yP05HEcB7lcDm9vbzg7\\\n",
       "O5eq547neaSnp+Phw4e4d+8e7t69i5MnT6Jhw4a4fPkybty4YXHfBoMBEydOxPHjx59plVp7RT2E\\\n",
       "hBB7QYGQEEKqGJFIhLfeegtLly6FWq0WeqkcHBzwwQcfQC6XWz2udevWiIuLK/VQUQD46aefrC5a\\\n",
       "Ex0dXfobsMIUZkwP1jzPw2AwID09HdHR0bh+/Tp4noe7uzt8fHxQo0YNyGQy1K1bF2FhYeA4Tphr\\\n",
       "Z+qdsxW4DAYD5s+fj61bt0Kr1QIA7ty5g7179yI0NLTEQY1hGOj1emzYsAGzZ88WylAwDAORSARP\\\n",
       "T0+EhoaiSZMmcHJygkajgUgkQt26ddGxY0f4+vqW+FpSqRQ6nQ5qtRoajQb5+fnYvXs39u7dK/RA\\\n",
       "WnPp0iUcOnQI3bt3p6GjhBBCrKJASAghLzBrK0XK5XJ8+umnGDp0KPbu3YtTp05BLBZj5MiR6Nat\\\n",
       "W5G9FWKxuFQ9gyZubm5WtwcHB5f6XIWZhlkC5sP0JBIJgoODERUVhcaNG0MkEqFDhw6oWbOmWY8X\\\n",
       "wzDCIisikQjp6elISkpCYGAgPD09LT6P5ORkrFmzBgUFBcK2goICHD58GDNnzix1cNqzZ49ZTUJT\\\n",
       "mH38+DHOnTuHtLQ0KBQK5OTkQKVSwcnJCdHR0RgzZgxq1KghfB8cx4FlWYhEIuEz4Hkeer0eqamp\\\n",
       "ePToETQajTAk1mAwWAwPLkyv1+PDDz/EqlWr0LhxY8hkMrOhw8Q26iEkhNgLCoSEEPICW7t2LRwd\\\n",
       "HVGnTh3UrVtXmLumUCjQoEED1K9fH5MnTwaAcivEbs2ECROwcOFCs54oiUSC0aNHP/O5bc3FYlkW\\\n",
       "Dg4OCAkJQcOGDQFACEtF2b17N+bMmQOGYbB06VK8/vrrZsfcvHkTubm5ZsfwPI/Y2FgYjcZSDa+U\\\n",
       "SqU26xFyHIf8/HzEx8fDaDSioKAAer0eDMMgPj4e169fR8+ePSGXy3HhwgWhFzQ0NBSDBg1CgwYN\\\n",
       "IJFIkJycjF9//RX3798v0fzIwvd19+5dfPTRRxgyZAhatGiBdu3aleocL6IpU6bA1dW1Qq9BgZAQ\\\n",
       "Yi8oEBJCyAtsypQpkMlkaN26NZYvXw6lUmn2vml4YkXz9/fH1q1bMWLECKhUKsjlcixevBhBQUHl\\\n",
       "cv6i6vkxDFPiXk2j0YiFCxciOTkZADB8+HC0atUK1atXF/bJzc21Os8wPz+/lK1+0u5x48Zh48aN\\\n",
       "VsOawWBATk4OjEaj2ZDb7OxsHD16FBcvXhSGgprev3DhAtavX4+GDRuiQ4cOSElJwf79+4vtDbRF\\\n",
       "p9Ph8uXLyM3NRceOHct0DntEgZAQYi8oEBJSxcXHx+PEiRN48OAB1Go1vLy80Lx5c7Rr187mXDJS\\\n",
       "dWg0Guj1emRkZBRZFqGiMQyDfv36ISkpCWlpaXB3d4eTk9ML9yCs0WiQkJBg9vPcuXOxZs0aoa22\\\n",
       "wqWtBXmKExoaiqZNm1qdT2maz2htNVLTqqPW3jOtmHr37l1wHAeVSlXmQvM8z0OtVuPOnTvIyckp\\\n",
       "0zns1Yv2+00IIRWBAiEhVdTmzZuxdOlSXLx4ET4+PvD394dCoUBmZibu3bsHuVyOoUOH4qOPPjLr\\\n",
       "HSFVS4MGDVC7dm188cUX8PHxKZdzmlbHLMsQU6VSadFL+SLRarXQ6/Vm2/bu3Qu9Xg+pVAqe53H7\\\n",
       "9m2r4WrQoEFlWo1TIpFg3759aNiwIR4/fmz2XnErnhYV8oxGI/Ly8szmWJYVz/MWYZkUjXoICSH2\\\n",
       "ggIhIVVQ8+bNIZVKMWrUKPz+++8Ww/a0Wi3OnDmD3377DS1btsTy5csxcODASmoteRa7d++Gs7Mz\\\n",
       "XF1di33oNK1wWRRTMfeYmBgMGzYM/fv3h7Ozc5FDNquawuHJtAqnRCKBwWDAv//+a3EMwzA2y2eU\\\n",
       "5HN1cHCAj48P0tLSnjm8Fb52eSrv8xFCCKn6KBASUgV98803iIyMtPm+TCZD586d0blzZ3z11Ve4\\\n",
       "f//+82scKVem3t3iAompMLtMJoNUKrW6T0JCAlq0aIHMzEzwPI+jR49iwYIFWLRoEcLDw+Hg4FDl\\\n",
       "ezoK9w4CT3rpcnJyoFAokJSUhGvXrlnsI5fLra6YaqrxFxERgYCAAJufT3x8PB48eFDugYtl2SJ7\\\n",
       "GVmWBcuyVoelkmdDPYSEEHtBgZCQKqioMFiYh4cHPDw8KrA1pCKV9EHTNM8MeDKEsfBxPM9j8+bN\\\n",
       "ZuURjEYj4uLisGrVKgQEBKBevXqQyWSV8nBbkl64kni6lMTT587Pz4der8f9+/etLs6iUCgs5hZy\\\n",
       "HIf58+fj+vXriImJwaeffmq1fqPRaMTWrVuFz7+8mMppFDVk1MXFBR4eHkhISIBOpyvX69s7CoSE\\\n",
       "EHtBgZCQl8Tjx4/x+PFji96EJk2aVFKLyPPEsizkcrnNoZ/p6en49ttvLX4/tFotDh48CIlEgqlT\\\n",
       "p6JZs2bPvafQYDAgNTUVSqUSLi4uNq9tCkZFDW+9cuWK1UVakpOT4ejoiN9//93qaqA1a9a0WFDm\\\n",
       "xo0b+P3338FxHL755hucPXsW27dvF4bv8jyP3NxcjB07Fn/88YfZKqLlQSqVwtXVFdnZ2VYLz7dq\\\n",
       "1Qp//vknnJ2dsXPnTowZM6bUZSmIbRQICSH2ggIhIVVcdHQ0Ro4ciVu3bpkV9zb1uJT3Qyp5MYnF\\\n",
       "Yri4uACwfDjleR5Xrlyx2ntm2jcnJwcPHjxAtWrVIJVKy7S4SllwHIddu3Zh3rx58PLywooVK1C7\\\n",
       "dm2ze+B5HomJiViwYAFu376NTp06ISoqCj4+Pmbh0GAwYM2aNRaBUCQSQaPRIDc3Fw8fPrTa2xYW\\\n",
       "FmZ2TY7jMGnSJCFAG41GHD58GHXr1sUbb7yBmjVr4vDhwzh+/DjUanWp79u0oA/HcVbb4+DggNde\\\n",
       "ew1NmjTB1q1bceXKFbM/y7Vq1cKhQ4fg5OQEABg6dChu3LiBhQsXmp3P9A8FcrkcRqMROp3O6u8B\\\n",
       "sUSBkBBiLygQElLFjRkzBnXr1sWaNWvg4+NDDyZ2rKieNZZl4eTkJMwfBJ6EBVdXV7z66qt46623\\\n",
       "ULduXchkMuh0OohEohIvNPMswz1v376Nt99+Gzk5OWAYBpGRkTh48CCCg4OFwHTt2jVERkYKC7Yc\\\n",
       "PHgQ33zzDUaMGIGPPvoIXl5eyM3NxbVr13DixAmLa3h4eKB69epwd3dH48aNsWfPHrOeNJZlERYW\\\n",
       "ZnZMQUEBLl++bHGf6enpWLlyZZnu1USpVOLDDz9E27ZtsXfvXvzyyy/IyckRvid/f3+sXr0aYWFh\\\n",
       "EIlE6N27NyZOnIhz587BaDSiRo0aOHLkiBAGTffwxRdf4MKFCzh58iR4noeXlxc++ugjvP7663Bx\\\n",
       "cYHRaER+fn651Y582VEgJITYCwqEhFRxcXFx+P3331G7du3Kbgp5QTEMgzp16mDw4MHYu3cv8vPz\\\n",
       "0ahRI4waNQrdu3eHu7s7RCIReJ4XepE0Gk2RQ1CBJ4XcN2/ejLNnz6JJkyYYOHAg/Pz8SlzLT6fT\\\n",
       "CWHQNBz0wYMHiIqKwg8//AAvLy9cunQJo0ePNivnwPM8VCoVfvrpJ/zxxx9o1KgRMjIykJSUZDGP\\\n",
       "j2VZDBkyBDVr1oRYLMbo0aOxZcsWxMXFCcFYLpejTp06ZscVFBRYXaDmWbEsi0WLFmHcuHFgWRaR\\\n",
       "kZGYP38+zp8/jwsXLqBRo0bo2LEjlEqlEDLq16+P3bt34+LFi8jPz0dYWBjc3Nwszi2VSvHHH39g\\\n",
       "+/btEIvF6NOnDzw8PMzCiqur60ux+MzChQvL1DNbGhQICSH2ggIhIVVc165dcfXqVQqEpEgeHh54\\\n",
       "5513MHDgQHh6eqJu3bpWh4WyLAuVSoWHDx/C29sb7u7uVkNhVlYWWrRoIaysybIs5s2bh3HjxmHc\\\n",
       "uHFwc3MTzqPRaFC/fn14e3sLC7dwHId//vkH0dHRZgGF53lcvnwZ77//PkQiEc6dO4fs7Gyr98Rx\\\n",
       "HB4/fiz0HFoLOr6+vpg6dSrkcjkAoEaNGvjxxx/x1ltvITs7GwzDwM/PD66urmbHyWQyODo6IjMz\\\n",
       "s6QfcYmIxWIMHDhQ+EwZhoFCoUB4eDjCw8OtHsMwDJycnBAREVFsb6yrqyvGjBkjLEhDCCGEFIcC\\\n",
       "ISFV3OrVqzFy5EjcuHEDjRs3tnjI79u3byW1jLwoGIaBWCyGt7c3vL294eTkZHOOIMMwePz4MZYt\\\n",
       "Wwa5XI73338f1apVs5hf9+abb5qVM+E4DtnZ2ViyZAn++OMPKJVKJCYmCr1/MpkM7dq1w6xZsxAc\\\n",
       "HIyrV69i0qRJFitjmua9RkdHQ6VSWV1M5WlFrcApkUiwceNGs940lmXRpUsXfP755/j++++h1WrR\\\n",
       "oUMHODg4mB3r4OCAkSNHYvHixUVe/2ksy0IkEsFgMBTZJkdHxxKfs7CS9ESVtIeWFI16CAkh9oIC\\\n",
       "ISFV3JkzZ3Dq1CmbxbZpURkCABqNBjdv3oRWq0WzZs3g7e1tdT+9Xo93330Xx44dA8dx2LRpE/75\\\n",
       "5x+0atVKeOi9ePEiDh06ZPV4nU6He/fuWQQig8GAgwcP4uDBg0LPVeEVT1mWhVKphFQqRW5u7jMN\\\n",
       "2RSLxfj777/RpUsXi/ckEgkmTJiAsLAw3Lt3D/Xq1bMIaSKRCN988w2MRiN27NiB9PR06PV6q0FP\\\n",
       "qVRizZo1GDBgAMRiMTIzM9G6dWvEx8db7BsUFPTcFuwhz4YCISHEXtB4EkKquPfeew/Dhg1DcnIy\\\n",
       "OI4ze1EYJMCTXrSEhAQsXLgQH374IebPn2+z2HlmZibOnDkDg8EAjuOQmZmJ9957T5ivxXEcjh49\\\n",
       "WmSx9OLmqJl+PwtjGAYSiQQ8zxd5/pLo0KGD1TBoIhaLUbduXYSHh6NGjRpWQ5pYLMa0adPw1Vdf\\\n",
       "ITIyEh4eHma9bwzDIDAwENeuXcObb74JqVQKlmXh6emJf/75x6KnjmEYTJ06tcKGcr4McwNfJKZA\\\n",
       "WNIXIYRUVRQICaniMjIy8P7778PHx6eym0JeUBzHYf369Th06BBu3ryJFStWICkpyeq+0dHRZmUJ\\\n",
       "eJ7H9evXcf/+faFEQkX9QwPHcSgoKIBWqy023JiGZ1p7EFcoFNi4cWORQycZhoFMJoOLiwsUCoVQ\\\n",
       "qsX0MhqN0Ov1kEqlaNGiBUaNGoUBAwagevXqcHJygqurK1577TVcvXoVNWvWtDh/vXr10LVrV7Nt\\\n",
       "fn5+GDFiRAk/jdIxhWgKheWHAiEhxF7QkFFCqrjXXnsNR44cQa1atSq7KeQFZVoNVKPRAHhSjP6T\\\n",
       "Tz7BL7/8YvEge+7cOYtQodfrkZubKzz4tmzZUghQ5YnneWi1WmHhGVsYhoGzszO8vLyQmZmJ7Oxs\\\n",
       "oUdRIpHgq6++QmBgYLHXMtUCBJ6EUYPBgIKCAqSlpeHhw4d4/PgxWJaFi4sL3N3d0bt3bzRq1Aga\\\n",
       "jQbt2rVDmzZtIJPJbLbxjz/+QPfu3XH9+nUEBATgwIEDUCgUZfhkimdaRKao0iNarRYajcZiAR1i\\\n",
       "HQ0ZJYTYCwqEhFRxdevWxcyZM3Hy5EmEhIRYDH2bPHlyJbWMvCiuXr2K9PR0s227du2CRqOxCChp\\\n",
       "aWkWx4vFYtSoUUN46G3atCnEYrHNOX5FhUVT0fuCggKrw0JNvVxisdhiwRkTlmVRt25djB07FhKJ\\\n",
       "BCdPnsT169eFshIjRowo9gHd1D5TrcP8/HycPXsWP/zwA6Kjo5Gfnw+GYRAQEIA2bdqgW7duqFev\\\n",
       "HkJCQuDh4QFHR8dih34qlUocP34cKpUKDg4OFT530NY95+fnY/r06di2bRtUKpXwDwOEEEIIQIGQ\\\n",
       "kCpv9erVcHR0xLFjx3Ds2DGz9xiGoUBYxR04cAByuRyenp7w9fWFk5NTsT1oT+M4Dtu2bbMY5pmf\\\n",
       "n49Hjx5Z1N+zVtutadOmZovQuLi4wMHBATk5OVavaepZeTrwSSQSYehlQkICfvzxR+Tm5lo9nmVZ\\\n",
       "ODs7Iy8vz2p44Xkezs7O6Ny5M/z8/DBw4EBwHAeWZYutnfj00EpTcC0oKMC+ffvw4YcfIikpyazd\\\n",
       "9+7dQ25uLqRSKWrVqgVPT084OjqWuEdILBbDxcWlRPtWBJ7n8dVXX2HVqlXPPC/T3lAPISHEXtAc\\\n",
       "QkKquPj4eJuvuLi4crnGjz/+iBo1akAul6NNmzY4f/58kftv374d9evXh1wuR0hICP755x+z93me\\\n",
       "x5w5c+Dn5weFQoFu3bohNja2TG17et6XtVdiYmKp5wK9SK/IyEiEh4ejcePG8PX1Rb169bBmzRrk\\\n",
       "5uYKwcZgMCA7OxuPHj0StpsUFBTg3LlzFp8bx3HYsWOHWU8ex3G4e/eu2X4ymQy//PKL2Xw8sVhs\\\n",
       "c9ghwzAQiUQQi8UQiURCSHv99dfxxx9/YNSoURg3bhw8PT1tfqcsy6Jt27bo3r271SGWHMfh/v37\\\n",
       "EIlEkMvlcHBwgKOjIxwcHIoNgzqdDhqNRlg0R6/XIzY2FnPnzkViYqJFaDIYDMjMzMTly5eRnp4O\\\n",
       "iURSpR7+OY4TVowlpfMyzCFMSEh4YdtGCHlxUCAk5CWVnJyMBQsWPPN5tm7dimnTpuGzzz7DpUuX\\\n",
       "0LRpU0RGRuLx48dW9z99+jSGDBmCqKgoXL58Gf3790f//v1x48YNYZ8FCxZg2bJlWLlyJc6dOwel\\\n",
       "UonIyEgaymaFKdhyHAedToe4uDiMHz8enTp1wl9//YXbt2/j6NGjmDVrFoYPH47Jkyfj5MmTyM3N\\\n",
       "RUFBAe7du4eHDx9aPffKlSuF1WkNBgNOnTqFq1evCu8zDIOhQ4da9CIyDGO118u0SqiDg4Ow4ibL\\\n",
       "slAoFIiIiIC7uzskEgmcnZ2LnEsnFosxZMgQLFy4EJMnT7Y61PLRo0e4dOlSST9GcByH3NxcpKam\\\n",
       "Ij8/H0ajEUajEXl5efjll19w9+5dm8NceZ4XhlpWtWLvLMuidevWFArK4GUIhNWqVavsJhBCqgAa\\\n",
       "MkpIFTdmzBir2x88eIDz589jxowZz3T+77//HmPHjsXo0aMBPAkRf//9N9auXYuPP/7YYv+lS5ei\\\n",
       "R48emD59OgDgiy++wIEDB/DDDz9g5cqV4HkeS5YswaxZs9CvXz8AwIYNG+Dj44OdO3di8ODBz9Re\\\n",
       "e2A0GnH9+nW88847aN68OXJzcxETE4P8/HxcuHABZ86cweDBgxEaGoq9e/ciOzvb6nkePXqEVq1a\\\n",
       "oX79+khNTcXdu3fNCsErlUq89957FiGI53m4uLiYzRVkWRaOjo4IDAyERCLBw4cPhXmC+fn5OHDg\\\n",
       "AF577TU4OztDo9EUOexVKpWidevWqFatGj766COcPn0aJ06cMNtHo9Hg66+/FoJmUXQ6HeLj43H5\\\n",
       "8mVIpVI0btwYCoUCHMchNjYWf/zxR5HzIR0cHBAYGIjAwMAqV/SdYRhMnz4d69evtznEl1j3Mg0Z\\\n",
       "rYhFoAghLw8KhIRUcVlZWWY/G41GxMXF4datW1i+fPkznVun0yE6OhozZ84UtrEsi27duuHMmTNW\\\n",
       "jzlz5gymTZtmti0yMhI7d+4E8GSIa0pKCrp16ya87+LigjZt2ghBhhSP4zikpqYK80a1Wq0wTzAu\\\n",
       "Lg5Lly6Fq6srMjMzbS7OwnEckpKSbJagkEqlQg/l0w+8RqMRvr6+kEqlMBqNUCqVaNOmDfr16wdf\\\n",
       "X19cvHgR69atE4a06vV67N27F7t370bPnj2hVqtRo0YN3Lhxw2oJCw8PD/j4+Ajz7+bNm4dXXnnF\\\n",
       "IrRdu3YN33//PT777DOrvYg8zyMnJwfr16/Hb7/9htzcXDRo0ADDhg2DVCpFQUEBfv75Z6SkpNj8\\\n",
       "nGUyGerWrYu+ffuiTp06Va6HEAD8/f2xbt06jBw5Evn5+ZXdnCrjZQqEgGUbKSASQkwoEBJSxf35\\\n",
       "559Wt3/11VfYuXMnxo8fX+Zzp6enw2g0WtQ49PHxwe3bt60ek5KSYnV/00O36X+L2scarVZr1ntl\\\n",
       "a0ESe8JxHDQaDRiGgdFoFB7wjEajMMTRYDCU+cFPr9fjzp07CAkJMevRMxqN8Pf3h7OzM3ieR4cO\\\n",
       "HTBhwgQ0aNBAWKSlcA+gRqPBqVOnEBYWBpZl0ahRIxw6dMhqQPHz8zObq1erVi3I5XKLQGg0GrFr\\\n",
       "1y5MnTrV6pxEo9GIU6dOYc2aNXjw4AGAJw/Bly9fhrOzM5KSknDmzJki6yqKxWL4+fmhdu3aQr3C\\\n",
       "qoZhGERERKBr1644cOBAZTeHPGemP/8ff/wxvv/+e5u94YQQ+1X1/qmTEFIiQ4YMwdGjRyu7GeVm\\\n",
       "/vz5cHFxEV5BQUGV3aQXgtFotAh9poVmnu41LAu1Wo1PP/0U27dvR15enjDvzmAwoHfv3pg5cyZ2\\\n",
       "7NiBzZs345VXXkG1atUQGBiINm3aQKlUmrXJYDDg+PHjyMjIgJubGyZOnIj58+fDx8fHLGRJJBJE\\\n",
       "RUUJPX4Mw8Db2xtNmza1aB/P8/jvv/8wZ84c6HQ6s+sZjUbs378fI0aMwM2bN5GXl4f8/HzcvXsX\\\n",
       "K1aswKRJk/D+++8XOXfQ1G6j0QgPDw9IpdIi91OpVMjNzUVubi5ycnKEeZzP8h2UF1dXV2zduhUX\\\n",
       "Llyo7KZUKVVx/qCtNr3zzjvCnxPqHSSEPI0CISEvqatXr6J58+bPdA5PT0+IRCKkpqaabU9NTYWv\\\n",
       "r6/VY3x9fYvc3/S/pTknAMycORM5OTnCy9ZCKaT8GI1GxMfHY+zYsRgwYACOHz+O7Oxs8DyP0NBQ\\\n",
       "jB07FmFhYVAqlUJRdJFIBFdXVzg6OlqcT6VSQS6Xw8nJCf7+/pgwYQIuXbqEsWPHwsPDA87OzggP\\\n",
       "D0dkZKTZ0EyxWIyBAwdanb/HcRx++eUXnD9/HiqVSliAJykpCZMnT0ZmZqbw8GsKyunp6bhz5w4y\\\n",
       "MjKKXX1To9HgxIkT+Ouvv2z2rGRlZeG7777Dq6++io4dO6JTp04ICwtDmzZtEBERgc8++wyJiYmV\\\n",
       "/hAulUrRoEGDSm1DVVKVF5UxrQIcHBwsbKtevfoL105CyIuBhowSUsUVnq8HPAlXu3btQq9evcze\\\n",
       "//7770t1bqlUitDQUBw6dAj9+/cH8OQB/NChQ3j33XetHtOuXTscOnQIU6dOFbYdOHAA7dq1A/Dk\\\n",
       "AcXX1xeHDh1Cs2bNADwZ/nnu3DlMnDjRZltkMhlkMlmp2k+eHcdxUKlUOHr0KJKSkrBq1So0b94c\\\n",
       "Dg4OEIlEVh8wTb1qhReykEqlcHV1hVgsBsMwYFkW/v7++N///ofx48fjypUraNSokcUKpgzDoEWL\\\n",
       "FpDL5VCpVBbXU6vVmDBhAt5++22MGDECer0e8+fPx/37923eV0nDGc/zyM7OxpIlS9C6dWv07t3b\\\n",
       "7J41Gg1mzpyJDRs2mA1pftrly5fx22+/4aeffkJERES5z0MsPMeTlI+qPIfQz88PAHD//n0EBgbi\\\n",
       "0aNHcHR0pDmkhBCrKBASUsVdvnzZ6vZWrVrh8ePHQnmIsj6wTJs2DSNHjkTLli3RunVrLFmyBCqV\\\n",
       "Slh1dMSIEQgICMD8+fMBAFOmTEF4eDi+++479OrVC7/99hsuXryIVatWCe2YOnUqvvzyS9SpUwfB\\\n",
       "wcGYPXs2/P39hdBJXjym3sLbt2+jZcuWVkONaQGZ//77z6IsCcMwcHJysjoPz7Typ6+vr0XheNN5\\\n",
       "Tf8gYC0QAsCtW7cwe/ZsHDlyBBzH4fDhw+U6VDM/Px/jxo3DzZs3hVVNeZ7HrVu3sGXLFhQUFNg8\\\n",
       "1lQupF+/fliwYAHGjx9fbquVWlv0h5SPqhwIb926haioKABARkYGgCcjPigQEkKsoUBISBV35MiR\\\n",
       "Cj3/m2++ibS0NMyZMwcpKSlo1qwZ9u7dKywKk5CQYBYO2rdvj19//RWzZs3CJ598gjp16mDnzp1o\\\n",
       "3LixsM+MGTOgUqkwbtw4ZGdnIywsDHv37oVcLi91+4p7EAsICKj0oXrP4kV60NTr9UhJSTGrjWgq\\\n",
       "8M7zPPLz83H58mXMnz8f6enpZp87wzBwdHS0GYRYlhWGcxqNRnh5eUEqlYJhGOh0OiQmJhYZ8Ezl\\\n",
       "Lfbs2SP8XN5SU1Px888/Y/r06WBZFkajERs2bEBeXl6xx5pqGU6ZMgW5ubmYMWNGlVyx1J5U5UAI\\\n",
       "AGvXrgUAob5rUT3mhBD7RoGQEFKsd9991+YQUWsL1wwcOBADBw60eT6GYTBv3jzMmzevvJr40qpT\\\n",
       "pw7UajWysrJQUFBQqeGW53nEx8cjNzcXCoUCDx48wM6dO3HhwgVkZWUhLS1NKPxuMBgsjs/Ly4NK\\\n",
       "pYKHh4fFA7RWq8W1a9dw9uxZeHt7o0OHDqhRowakUimys7Nx+fLlEq2OWBFB0ITneaxevRqTJk2C\\\n",
       "UqmEVqvF4cOHS/WdGAwGzJ49G9WrV8fgwYOfOUi8iEHkZVFVA+HTPca9e/fGnj17Xqj2EUJePBQI\\\n",
       "CamCevTogc8//xxt27Ytcr+8vDwsX74cjo6OmDRp0nNqHSlP586dg0ajwX///Yevv/4aJ06cqLRl\\\n",
       "43mex+nTp/Hrr79CpVJh06ZNiI+PF1Y5LSoYcRyHBw8eYP/+/Rg5cqTZip2meXpHjx7FsWPHIJfL\\\n",
       "ce/ePXTu3Bn+/v54+PAhLl68+EKs1pmcnIysrCwoFAoYjcYiewefHvL6NIPBgFGjRqFatWro0KGD\\\n",
       "xXE8z8NoNNqco2nrOoSYPP07d/LkSXTs2BHAk9qdhBBSGAVCQqqggQMH4vXXX4eLiwv69OmDli1b\\\n",
       "wt/fH3K5HFlZWfjvv/9w8uRJ/PPPP+jVqxcWLlxY2U0mZeTm5gae5+Hl5YX69evj/fffx65du2wW\\\n",
       "m7fF1NvxLEvO8zyPuLg4fPbZZ9BqtdDr9aU6V35+PubNm4dmzZqhRYsWwvBR03DPhw8fIjU1FQaD\\\n",
       "AdnZ2UhMTERQUBAyMjIQGxtbob1/JaXX66FSqcAwDKRSKYKCghAfH291X9NnbhpS+zSdToeePXvi\\\n",
       "4sWLqF27tlmo4zgOHMcJK7eSylFVewgLCwsLq9LD5gkhFY8CISFVUFRUFIYNG4bt27dj69atWLVq\\\n",
       "FXJycgA8eTBp2LAhIiMjceHCBVpm/iXAMAzEYjF8fHwwZ84cJCYmIjo62iyQFfXAxzAM5HI5lEol\\\n",
       "8vLybK6GWRI6na7UYdSE53kkJiZi1KhR2LVrF4KDg8GyLHieh0QigUwmg06ng0qlgkajQV5eHmJi\\\n",
       "YmAwGMzKR1Qmo9GIgoICIRCOGzcOJ06csNk2pVIJvV5vddGZ3NxcjBgxAgcOHDAr02EKgi9yyLAH\\\n",
       "L0sgJISQ4lAgJKSKkslkGDZsGIYNGwYAyMnJQUFBATw8PISi3uTlwrIsqlevjsmTJ2PFihW4f/++\\\n",
       "MIxSrVYLc/dMPWmm0g5OTk4ICQmBn58fzpw5g8TERIveNlvDG8sbz/O4ffs2ZsyYgVWrVsHV1RU8\\\n",
       "z0MqlQqB0PTSarXIyckBy7LPFGLLE8dxuHfvHpo1awaWZfHKK69AqVTaXL3Rx8cH1apVw9mzZ62u\\\n",
       "kHr9+nXEx8ejcePGwndAYfDFQIGQEGIvKBAS8pJwcXGxqN9Gqj6DwWAR1ho2bIjBgwcjISEBCoUC\\\n",
       "SqUSaWlpuHjxImJiYpCbmwue5+Hg4IDq1asjPDwcrVu3hk6nQ1paGlJSUsxCo0KhgEKhQG5u7nOZ\\\n",
       "n8hxHP79919s2bIFI0aMgEQigVqtxuPHj6HRaIQFaYxGIwwGA8TiJ39VsSwLlmUrfOioRCKBm5ub\\\n",
       "EEifxvM8Vq5cib59+0IikcDR0RHVq1fHzZs3Lc7D8zzkcjl69OgBo9GI48ePW7Rdp9MhJSXFbBXe\\\n",
       "knj6+3s6jJh+RyigPDsKhIQQe0GBkBBCXmBBQUFwcHBAo0aN0K1bN9SsWVMITE5OTgCeBCexWIxq\\\n",
       "1arBw8MDfn5+aN26NRo3bgwPDw9IpVJoNBpcuHABqampQpiQSCRo164d5s2bB5ZlMXXqVFy+fLlM\\\n",
       "vYQSiQRyuVzo3SvuHBqNBh988AG2b9+Ozp0748qVKzh69Cg0Go3Zsab5dHK5HC4uLuB5Hnl5eSW6\\\n",
       "RmFisRje3t5o3749vL29ceHCBVy7ds2s99Hb2xu7du1CixYtwDAM3n77bWzcuNHsWocPH0bnzp2x\\\n",
       "fPlyFBQU2BxCy/M8YmNjsX//fqSnp9vcx1TKo7hQodPpEBsbi5MnT0Kj0aBJkyYICQmBk5OTcJ6t\\\n",
       "W7ciJSUF48aNQ/369SmoPIOKDoQhISG4ceOG2TapVPrC9IYTQuwHBUJCCHmBpaSkAHhSQ+zUqVNo\\\n",
       "1qwZqlWrhvT0dCQkJCArK0tY4AUAXF1d0aNHDzRq1AjBwcGQSCQwGo3Izc3F3r17ERcXJwwz5Xke\\\n",
       "Pj4+CAoKAsMw8PX1LVMbpVIpatSoAW9vb9y/fx8pKSlWy04UptfrcerUKZw/f14oal845JnqHbIs\\\n",
       "C29vbwQEBODRo0e4d+9eiR6cTcNm3dzcMG7cOLz//vtwc3MT6h5ev34do0ePRmxsLKRSKSZPnozQ\\\n",
       "0FBh2PXq1atx7949nDp1yqxNZ8+eRe/evVGrVi2bYQ94Uk7j1KlTZkN5n8ZxHC5evIhBgwZBJpPZ\\\n",
       "PI9pQZ7169cjLy8PIpEI/v7+GDFiBHr16gWDwYBt27Zhy5Yt0Gq1MBgMWLRoUZHnJJVn8ODBQhiU\\\n",
       "SCTw9fXFw4cP4eHhUcktI4TYIwqEhBBSBXAch5ycHMTExCAzMxNJSUnIysoSSj6Y5Obm4vjx44iK\\\n",
       "ioJEIoFIJILRaMTdu3exZ88eoUg18GQ46sGDB7F+/Xo4ODggOjq61L1uLMsiKCgInTp1glarRUpK\\\n",
       "SqkKrnMcV2ywM7XJ19cXHTt2RF5eHvbs2YM7d+7YDJ4ikQhSqRROTk4ICgpCVFQUhg8fbrZ4i0Qi\\\n",
       "QYsWLXD06FH89NNPSEpKwqBBg4QhqqZ9/v77b1SrVg25ublmbUpOTkZ+fj54nrc5lJXn+SLrR/I8\\\n",
       "j6NHjyIuLg61a9eGWCy2WHE0JSUFQ4cOxYkTJ8xKb9y9exeLFi3CsWPH4ObmhkuXLiEzMxMMw+De\\\n",
       "vXtQq9VmgdBgMCA/Px9ubm5Fft5VwZQpU+Dq6lqh16jIHsKtW7cCqPg5u4QQUhIUCAkhpAqRSqVC\\\n",
       "/Ttr8/2MRiPi4uIQExODhg0bQiQSQa1WY8uWLUhNTbXYPysrC/PnzwfLsmWaP+jk5IQuXbqgSZMm\\\n",
       "uHLlCvR6vdArV15z/RiGgUQigbe3N+rXrw+ZTAaWZbFjxw4kJSUJNfskEgmcnZ3h5+eHunXrIiAg\\\n",
       "AC4uLvD19UXnzp3h4OBg9fxubm6YNGkS7t+/D09PT4uHexcXF2zZsgV9+/Y1C2Sm4ay+vr4QiUTI\\\n",
       "ycmxuViPLTzPIyEhAXPmzEGHDh3g5+cHuVwOjuOQmJiIffv24dixY0LwLHxsTk4OTpw4AYVCAb1e\\\n",
       "D6PRCKlUCldXVxiNRhiNRvA8j9TUVCxYsAC7du0qzUdv157HHMLCx1FAJIRUBgqEhFRxI0eORFRU\\\n",
       "FDp16lTZTSEVTCwWo3HjxtDr9YiJibG5n0ajwfbt29GxY0c4ODjg4MGD2Llzp83C7iUZ3mmNSCRC\\\n",
       "q1at8MYbb0AmkyEhIQEsywr1BYEnocloNJYpHJqCpUwmg5+fH5o0aYKaNWvC0dERnp6eqF27NjQa\\\n",
       "DerXr4+GDRvCwcEBUqlUqLeo0+mQm5uL3NxcODk5FfnQ7ujoKAydtTafLzIyEgMGDMDvv/8uPLSL\\\n",
       "RCIEBARg2LBhEIlEOHDgAG7evAm1Wg2WZaFUKqHT6ZCVlWXzs2cYBjqdDgcPHsTff/8NnU5ntW5h\\\n",
       "UUxDhk2fl0gkgru7O4xGI/R6PfLz87Fy5Ups2LDBrJeTFK0sgfDIkSOYOHGisL19+/YYPnx4kcfK\\\n",
       "5XKh5970+0cIIc8TBUJCqricnBx069YN1atXx+jRozFy5EgEBARUdrNIBZDJZAgNDcXjx49x+PBh\\\n",
       "m/vxPI8jR45g3rx5kEgk2LFjh8VqmeXB3d0dH374Idq0aQODwQCVSoXo6GjodDrIZDI0aNBACLDn\\\n",
       "zp3DtWvXrPZ0PY1hGMhkMjg7O8PDwwO+vr6oVasWwsLC0LZtW/j4+EAkEsHb2xsNGjSAQqEQQmBh\\\n",
       "crkccrkcIpFICFm2HvBNdQVNpTsKl24RiURYs2YN0tLScPbsWfA8Dy8vL4wePRpvvfUWXFxcMHHi\\\n",
       "RGH+nmnY7NWrVzF+/Hg8ePDA6nUVCgUcHR2Rm5sLrVZb5jBgCtwcx0Gj0eD69etISEhAcHAwMjIy\\\n",
       "kJycXO49ty+7sgTCmJgYs3+sWblyZZGB8OnvmxYAIoRUFgqEhFRxO3fuRFpaGjZu3IhffvkFn332\\\n",
       "Gbp164aoqCj069ePahK+ZArPMbNFrVZj3759z1zU3VZ9QoZhUKtWLTRu3BgODg7gOA716tVDs2bN\\\n",
       "UFBQAG9vbwwcOBBt2rSBXC5HcnIy1q9fj02bNtnspWIYBnK5HLVq1ULHjh3RvHlzBAQEwMvLCz4+\\\n",
       "PnBzcxPmxJnCnUQiKTLkicViiEQiqwvWWNtfrVZDqVRa/XOjVCrx3nvvIT09Hbm5uWjSpAlat24N\\\n",
       "V1dXyOVyoeajCc/zaNu2LTp06ICEhASL65t6GF1dXXHr1i2z+Z1lZVqc5969e4iOjoaLi4vwfbi7\\\n",
       "uws9hqR4ZQmE9erVQ0REhLC9ffv2FdI2QggpTxQICXkJeHl5Ydq0aZg2bRouXbqEdevWCQtoDBs2\\\n",
       "DO+88w7q1KlT2c0kz8hUOiIzM9PmEEQTvV6PR48ePdPwM29vbwwYMABarRb//vsv0tLShBU/fX19\\\n",
       "8dNPP8HPz0/oDQsODsaMGTMQFxcHb29vBAUFCYEtMDAQoaGhmDNnDiZMmIB//vlHmLP4dBAcMWIE\\\n",
       "Xn/9dfj6+kIqlZotUFO43l5JHtZZlhXm0Lm5udmcRwg8GTp74cIFODs7Izw8HHK53Ox9kUiEfv36\\\n",
       "oVWrVnj48CHc3NyEsiC2FtJxcXHBokWLsGfPHrMgLBaLMXbsWMyYMQN6vR6ffPIJ/vzzz2K/15Lg\\\n",
       "OA5JSUmYM2cO4uLi0L17d7z66qto2bIlkpOT8e677z7zNYh1ERERWLFiRWU3gxBCSoUCISEvkeTk\\\n",
       "ZBw4cAAHDhyASCRCz549cf36dTRs2BALFizA+++/X9lNJM9Ar9fj0KFDwry84jxLr2CHDh2wZ88e\\\n",
       "occrOzsbq1atws6dO+Hl5YW5c+eicePGZkHIVBrC09MTLMtaBDaWZeHj4yMsBnPq1ClkZmbC398f\\\n",
       "NWrUgK+vL5ydnSGTyczmIdpqY0nl5eXh2LFjkMvlaNCggc1j09LSsHz5ciQlJWHw4MH46KOPLAKk\\\n",
       "WCxGYGAg/Pz8ADwJicWtqurr64v33nsP33zzDYxGIyQSCebMmYOPP/5YWNF03bp1yM3NxcGDB8tl\\\n",
       "SCfP80hLS8OGDRvQrFkz9OzZE0qlEizLUiAsoYpcVEYqlUKn04FhGPj4+Fhd8IkQQp4XCoSEVHF6\\\n",
       "vR5//fUX1q1bh/3796NJkyaYOnUq3nrrLTg7OwMA/vzzT4wZM4YCYRXH83yFD/cTiUQIDw/H7t27\\\n",
       "zcKQu7s7ZsyYgSlTpgB4Mj/P2kMwwzDFhjmRSISgoCAMHjzYbLspwJb3XKp79+5h06ZNuHTpEpYv\\\n",
       "X242rPPpa585cwYXL16EWq3GN998g4sXL2LPnj1Wg61pW0nayjAMZs6ciYSEBFy5cgUffPCBsBCN\\\n",
       "iaOjI/766y/Mnj0by5cvh1qtLpfFRTIyMqBWq+Hk5FTs90LMVWQg1Gq1wjFPh0FaUIYQUhkoEBJS\\\n",
       "xfn5+YHjOAwZMgTnz59Hs2bNLPaJiIio8JpdpOpSKBR49dVXMWnSJLRq1QqOjo5WH3BZloVCoaiw\\\n",
       "dlTEohocx2HZsmW4cuUKLl++jEOHDiE6Olro4Xt6v/v37wurfOp0Ovz7778YPXo0li9fbhaOyxJc\\\n",
       "lUolfvnllyKPk8lkWLBgAebPn4/MzEzExsbi2rVr2L17N44cOYKCgoLS3j44jkPNmjUpDJZRRS70\\\n",
       "QuGPEPKiKHn1YELIC2nx4sVISkrCjz/+aDUMAoCrqyvi4+Ofb8NIlSASiTB27Fhs2LABERERxZZn\\\n",
       "qGp4nkdcXJywymhycjLCw8ORl5dnth/DMOjatavZnEie57F7925s3rwZOTk50Ol00Gq1UKlUUKlU\\\n",
       "pa7bWNIeJ5FIBC8vL7Rr1w5jx47Fxo0bMXz48DKFOolEgvr165f6OPL/31dJX4QQUlVRICSkihs+\\\n",
       "fLjF4hfk5SGXy4tcSfNZSSQSDB06FA4ODi/lQy3LsnBzczPbdu/ePXz00UdmgY5hGDRr1gxr1qxB\\\n",
       "hw4d4OTkJJSz+Pfff3H48GHcuHED586dw/bt27FhwwacP3++TL12JWUafuvm5oaJEyfa7J0ViURQ\\\n",
       "KBTCfMSnj2/RogW8vLzMtvM8X+VfAQEBFR7QKBASQuwFDRklhJAXWFxcHNLS0vDNN99g+/btZS4i\\\n",
       "X5SSBE69Xg+dTgepVGq1JIOp3AHP85BIJGYLrZiKxKvVarPi8YUZjUYYDAahXERxi7WYevwyMzNR\\\n",
       "s2ZNofTD01iWxeTJk3H+/HmzWn1//PEHpk2bhlq1agkP9HK5HJ07d0ZoaCiuX7+OI0eOICUlBf7+\\\n",
       "/sjKykJ6ejpiY2Nx8eJFJCcnQ6lUonv37pgwYQICAwMrbFimaZVWV1dXizmk/v7+WLx4MZo2bYo7\\\n",
       "d+7g66+/xvXr12E0GlG7dm1s27aNSs+UUUXOISSEkBcJBUJCCHmB+fn5wc/PDxs3bkTr1q3xwQcf\\\n",
       "lGthcaPRiLt376JZs2ZWH2p5nse1a9cQFRWFxMREdOzYET/99JNZr5tOp8P69euxbNkyaLVaREZG\\\n",
       "YsaMGfDx8YHRaMTx48cxc+ZMPHz4EIGBgfjmm28QEREBqVQK4ElAe/z4Mfbs2YMrV66gVq1aeP31\\\n",
       "1xEUFFRkKExPT8fQoUNx7949DBkyBMOHD0ejRo0s7uO1115DkyZNcPXqVWHelkajQUxMDGrUqGHW\\\n",
       "syYSieDq6oqwsDC0b98eGo0GWq0WeXl5ePjwIVJSUqBWq5GWloaEhATcunULa9euRdu2bTFz5ky0\\\n",
       "aNFCuK/yJJfLERAQgKSkJKH0R4cOHbB79264uLgAeFIDLzIyEmlpaSgoKIC/v3+RZTYIIYQQgAIh\\\n",
       "IYRUCSKRCJMmTcKKFStw586dcjuv0WjEv//+i379+lkNMo8fP0Z4eDhycnIAADt27IBEIsEvv/wC\\\n",
       "sVgMnudx4MABvPfee9DpdACeDMncvHkzunTpAo7jcOTIEeTm5oLneWRmZmLgwIEYMGAAoqKi4Ozs\\\n",
       "jJMnT2LFihWIi4uDwWCARCLBX3/9hR07dsDT09Nm248ePYoLFy5Aq9Xizz//hIeHBxo2bGgRCGUy\\\n",
       "GbZv345OnTohNTUVDMNAoVCgoKAARqPRYqgl8P/DNZVKJZRKJVxdXeHt7Q0nJyc8evRIWIDGaDRC\\\n",
       "rVbjr7/+Esp09OvXD9OmTUP16tUhEomg0+mgUqmEsFmW4bkSiQSRkZFISEgAALz99tuYNWuWxXcm\\\n",
       "lUoREBBQqnMT66iHkBBiLygQEkJIFSGRSPDxxx9jzJgx5XZOjuNw4MABpKWlWQQJnucxa9YsIQya\\\n",
       "tv31119Qq9VwdnaG0WjE//73PyEMmvbJzs7Gnj17IJFIoNFohJ45nuehUqmwfft2HD9+HM7OzkhK\\\n",
       "SkJ2drZQW9FoNOLUqVP45ZdfMG3aNJs9l1evXoXRaATDMHB2dkZgYKDNB/OaNWti/vz5mDlzJtRq\\\n",
       "Nby9vSEWi4XFZop7oDetsNqgQQOMHDkSly5dQkZGhtlKkRzHIScnBxs2bMDGjRshFouFl0gkgrOz\\\n",
       "M5o2bYoJEyYgLCysVAv4iMVivP322+jevTuCg4PNFr8hFYMCISHEXtDfJoQQUoW0bdu23INASkoK\\\n",
       "tm7darEMvl6vx/bt2y3212g0Qp08nueFXqvCTGGt8Nw605zCtLQ0JCUlQa1WWwyDNRgMWLdunc05\\\n",
       "k0ajESqVCjKZDC4uLhg/fjy6d+9u88GcZVn069cPgwcPRu3atVGzZk2IxWJh3mNJSaVSNGvWDN27\\\n",
       "dy9yzqBpTmVBQQHy8vKQnZ2NR48eYf/+/Rg9ejTefPNN7Nu3DxqNpkTXZVkWAQEB6NChAwICAigM\\\n",
       "Pge0qAwhxF7Q3yiEEFKFVMTDp8FgwKJFi5Cbm2u2/fLlyxbbgCdhRyQSgWEYsCxrc9ESmUyG8PBw\\\n",
       "tGvXDkql0qyYu6nHrHbt2vD397c6bDMtLc1mYFKpVDAajQgKCsIbb7yBN998Ex4eHkXep7OzM0aN\\\n",
       "GoVevXqhWbNmUCgUwrDP0oRCuVyO8PDwUi8iw/M8DAYDcnJycPLkSUyaNAlr1qyBVqst9ljTZ13S\\\n",
       "757jOGg0GqhUKqjVahQUFEClUln9Pol1FAgJIfaCAiEhhFQRPM8jJiamQgpap6SkYOHChUKPnEaj\\\n",
       "wZgxY6xei2EYyGQyAE96rnx9fa3u8+qrr2LNmjX4/fff8eOPP6J27drCnLzatWvjww8/xOrVq7Ft\\\n",
       "2zYMHDjQbD4cwzDw9vYWhpE+TafT4caNG1CpVGjfvj2mTJkCJyenYnvNWJZF7dq1MWDAAHTq1Ale\\\n",
       "Xl7Q6/XQarXQ6/UlXqyHYRg4OTmV+nsQiURwcHCAQqGASCRCXl4e9u3bh7S0tFKdpyh6vR4XLlzA\\\n",
       "0KFD0bRpUzRo0AAhISFo0aIFmjVrhpCQkHK71suOAiEhxF7QHEJCCKkiOI7DjRs3KiQQ8jyP7du3\\\n",
       "491334Wbmxtu3LiB+Ph4q/sWHgbq7OxsdZ8BAwbAw8MDDMOgZ8+eiI+Px59//gmDwYDu3bujT58+\\\n",
       "CAoKAsMw+Oijj3Dr1i2hZIJUKkXz5s0teuGMRiMyMzNx5coVaDQaNGvWDD4+PiV+IJdIJPD19YVS\\\n",
       "qRTKbZjmP5bm4T4zM9NqWC2KVCqFj48PpFIpCgoKwLIslEplsd+n6f3i2mU0GnHy5ElMnToVd+7c\\\n",
       "EYbDPn1PFfG7QwghpGqjQEgIIS8w06Iner0esbGx2LJlS4VdKzY2Fm3atEGdOnVw7tw5m0XXWZY1\\\n",
       "C2qm3sKnKRQK9O3bVxgK6uXlhZkzZ2LYsGFQq9WoUaOG2aIqTZo0wenTp3HmzBmcPXsWDRs2RIcO\\\n",
       "HaBQKITPICcnB4cPH8amTZtw//59VKtWDZ06dbIaSG0Ri8Xw9PSEm5sbjEYjNBoNsrKy8PjxY0gk\\\n",
       "EtSqVQuurq5Fhi+1Wo2lS5eaFbYvjkgkQosWLTBx4kT4+PggPT0dmZmZqF27Ntzd3W0ex3Gc0IPo\\\n",
       "5eVlsxc0OzsbkZGRuHjxYrmWJbFntKgMIcReUCAkhJAX2KhRo2AwGJCXl4eEhATcv3+/wq5lWiDm\\\n",
       "4cOHRfYkPR0GeZ632iZXV1colUqzbTKZDLVq1QLP81aDjVwuR0REBDp37gzg/x+yjUYj4uPjMWXK\\\n",
       "FJw8eRIajQZSqRTBwcGoXbt2qebymYreP73C6IMHD/C///0Pd+7cQfXq1TF79my0bNnSYm4kz/PI\\\n",
       "ysrC+PHjcfTo0VL1tkkkEvTv3x89evQQegWNRiNEIpHNuoU8z+PSpUuYMmUKOI7Dt99+i44dO1qE\\\n",
       "j4yMDDRs2BCPHz8ucXtI8SgQEkLsBQVCQgh5gW3atEn4b5FIBJZlwbJsqYcrlkZxQUculwv76HQ6\\\n",
       "3L5922If01DRwkrykF34fY7j8OOPP+LAgQNCrxzHcfDz8xOKspcFy7IQi8W4fPkyDh06BJVKhdu3\\\n",
       "bwvDLj/44AM4OzsLq6KeOXMGo0ePRkJCQpmGXvr4+MDR0dEiaNr6PO7fv48+ffogNTUVANC7d2/8\\\n",
       "+uuv6NmzpxCos7KyEBISQmGwAlAgJITYC1pUhhBCXmCm0g6mFSoZhoG7u7vVYZrPS+PGjcGyLDiO\\\n",
       "Q2xsLLKzsy328ff3L7eHZIPBgF27dpkN0eR5Hi1atLC6OunTTJ+dLQzD4OzZs1CpVOA4DhzHIS8v\\\n",
       "D4sXL8bBgwdhNBphNBqRkJCASZMmWQ2DpkV25HK5zSGder1eWBCoJIuRPHr0CGFhYUhJSRHuIS8v\\\n",
       "D4MGDcLatWuRlpaGa9euoWXLlkhOTi7yMyBlQ4vKEELsBQVCQgipQpRKJSZPnoyJEydCLpeX+Ljy\\\n",
       "emCVy+VYvHgxJBIJeJ7HoUOHrM5Za9GiRblcD3gSCNPT0822MQyD1q1b2zyG53lkZ2cjOjoaN2/e\\\n",
       "tDkf0mg04saNGxb3oNPpIJfLIRKJIBaL4eLiAoPBYBEGTUNBDx48iL179yIiIsJqKOQ4DgcOHEBO\\\n",
       "To7ZtTiOg8FggF6vh16vR25uLrZt24YmTZogKSnJ4jwFBQV499130b59e3Tp0sXmwj/k2VEgJITY\\\n",
       "CxoySgghVYi/vz/GjBkDuVyO1NTUIheZYRgG1apVw4gRI1C/fn0kJSVhz549uHjxIlQqVamvLRKJ\\\n",
       "sG7dOjRr1kzoIczLy7PYTyKRICIiQugNe1ammodPk0qlCAwMtHlMYmIi3n77bVy5cgW+vr5YtmwZ\\\n",
       "wsLCLMJaRkYGHj16ZHG8u7s7OnfuLFzX29sby5Ytw6BBg5Cfnw+GYeDi4oKlS5fizTffFIaBrlu3\\\n",
       "DqGhoRalJHiex61bt7B792688cYbUCgUMBgMSElJwYEDB3DkyBHExMTgwYMHFqGxMK1Wi3v37gnn\\\n",
       "JYQQQp4FBUJCCKlCHB0d4ebmBplMhk8++QQ7duywutoly7LYtGkTBg8ebBamPvzwQ/A8jy1btmDs\\\n",
       "2LFQq9Ului7DMPj+++8xePBgs2sMGjQI33//PXJycgA8WUxm0aJFaNeuHYxGI/R6PTIyMgA8mUNn\\\n",
       "baEW0+IqtsKjXC5H586dsXv3biFk1q1b12YP6e3btxEWFiZcNy0tDZMnT8bBgwfN5jZmZ2djwIAB\\\n",
       "yM/Pt7je9evXzRbFYRgGPXr0QE5ODvR6vbA4TeE2u7u7w9HR0WptwdzcXEyaNAlz5syBQqFAeno6\\\n",
       "8vLyyrQqaEmCYOFyExQeS4fmEBJC7AUNGSWEkCokMTERBQUF4DhOCCbWODo6onfv3jYXdhkyZAj2\\\n",
       "7dtXqkVZmjZtarEtMDAQr732mlAC4p9//sGwYcOEHrDNmzejTZs2CAkJwfDhw5GVlWUWTAwGAzQa\\\n",
       "TZGL5LAsi7feegsymUyogeji4oK8vDyLkJOTk4NRo0YhMzNT2MZxHBISEnD58mWhCH1SUpLQg1jY\\\n",
       "22+/DQ8PD6ttYRgGUqlUqGH4NI7jsHv3bjx8+NDmvWi1WiQlJeHevXvF9gQWx9RL2apVK3Tr1g1N\\\n",
       "mzaFr68vHB0dIZPJIJFIzBYiMr1IydCQUUKIvaAeQkIIqULS0tJw8eJFhIaG4uzZszYDhaenJxQK\\\n",
       "hc3zMAyDDh06YN++fXj99deRnJxcZDjheR5///03OnXqZPbwKxaLMXDgQLRu3RqvvvoqAgMDzULH\\\n",
       "mjVrkJycLBS+LygowKZNm+Do6Ci0g2XZYh+ovby8oFAohN7Q2NhY/Pzzzxg2bBi8vLzAcRzy8/Px\\\n",
       "9ddf49KlSxZBsaCgABs2bIBer0d6ejqWLVuGq1evwmAwmO3n7OyMzz77rNQP+AaDAT/++CNmzJhh\\\n",
       "cc6K4uDggL1796Jly5YQiUTgOA65ubnYv38/Fi1ahNu3b0Oj0YDjOCFIl6ZEh72jHkJCiL2gQEgI\\\n",
       "IVWITqfDkiVLMHToUPz+++82Q5ybm1uJyju0bt0au3btQlRUFGJiYqDVam0OLVy5ciU++OAD+Pj4\\\n",
       "AHgSEtVqNTiOQ4sWLeDn52cWBsViMVQqlXA+juOwb98+HDp0CL179xYCSlGrcwJPFn7Zu3evsBIo\\\n",
       "AKSkpOCrr77CypUrUbduXbi4uCA7OxuXL1+2Gsj0ej3279+PCxcuIC0tDTk5ORa9kqYhsEUVirdG\\\n",
       "pVLh1VdfxcmTJ5/rsMw+ffqgTZs2wvcsEong5uaGAQMGIDU1FbNnzxZqLZred3Z2fm7tq+ooEBJC\\\n",
       "7AWNHSGEkCqE4zicPn0ay5cvx82bN20GEKlUWuJ5Zk2bNsXixYvRpk0bODg42Hy4zcvLQ3h4OO7d\\\n",
       "uwe1Wo3Hjx9j+/bt2L59O9LS0ixCnUgkQs+ePc3Op9Pp8O+//wq9VqYewqJcunQJK1euhE6nE+bC\\\n",
       "cRwHjUaDxMREHD16FH///TdOnz6N/Px8q/dtNBqRnp6Ou3fvIisry+oQVYVCgUGDBpXq4b6goAAd\\\n",
       "O3bEiRMnnmsYZBgGM2fOtNpWqVSKLl26gGVZs7IlLMs+U91Ge0TDRQkh9oB6CAkhpIrJz8/HjRs3\\\n",
       "rC4mY2KaZ1gSIpEIjRo1Qv/+/ZGbm4v//vsPWq3W6r4xMTEIDQ1FSEgICgoKhPlyfn5+eOWVV8z2\\\n",
       "ZRgGH330EdatWycUTmdZFlKptMRDF+/cuYNXXnnF6mqmJjzPC/MpTcNPrYWzoj4P09zAgoICGI1G\\\n",
       "ob5hQUEBLl26hFu3bqFhw4Zo2rQpHBwcADwJt9OnT7c6D7G8PL0ozNMcHR1Rt25dm8cFBQVBJpOZ\\\n",
       "HWcqcUEIIYQ8jQIhIYRUMUajsdjVQVNSUqBWqyGVSos9n6lmX15eHlxdXaFUKqHX620GqJycHJw6\\\n",
       "dUoIK2KxWCiDUJibmxsuXryIXr164e7du3BxccHrr79eosVNLl++jLCwsFKthCqRSITVTUuD53mo\\\n",
       "VCr88MMP8PPzQ/Xq1ZGamoo+ffogMTERHMdBJBKhTp06mDt3LkJCQnDu3Dls3LixQnsGZTIZ3N3d\\\n",
       "kZOTA7VaLfT0DRo0CDKZzOZxDg4O8PDwwOPHj4UeQoPBgOzs7Apr68uGhowSQuwFBUJCCKmCTEMe\\\n",
       "bYWRjIwMHDx4EG+88Uax50pKSsLcuXNx+vRpYRES0yIltphChumhuW7dujZDXlBQEM6cOYODBw9C\\\n",
       "LBajbdu2xT5A379/H+3bt4dGoym2/cD/h8GgoCDk5uYiLS2t1Ct46nQ6HDlyBD169IBEIkFOTo7Z\\\n",
       "9TmOw61btzBlyhS8+uqrVuchljeZTIZOnTqBZVmcPXsWmZmZqF27Nr7++usiP0ORSISgoCDcunXL\\\n",
       "rP1lqT9prygQEkLsBQVCQgipgorrldLr9XjvvffwyiuvFLmQSFZWFnr37o2bN2/CaDQK9fVEIpHQ\\\n",
       "q2SLaeXKGjVqYPjw4UX2+imVSvTq1Qscx1nUIiyM4zj07du3xGEQeNIjVrduXYwbNw7R0dHYtGmT\\\n",
       "zeNNpRgMBoPF52gwGMxKVhTG8zy0Wi18fX3RqVMnqNVqHDx4EDqdrsRtLQ2NRgONRoNXXnkFrVu3\\\n",
       "hlqtRs+ePeHp6VnssYVDiqnmIykZCoSEEHtBi8oQQshLKiUlBT169LAZ6jiOw/jx43Ht2jUhHJnm\\\n",
       "mTEMA4VCYbXeHvBkLqCrqyt69uyJtWvXIjg4uNj2iEQiq8XcC8vMzMSdO3dKdpN48jDerl07fP75\\\n",
       "5xgyZAhmzJhhc36dm5sbRo8ejS5dugjzBEtDIpFg5MiR+OCDDzBkyBBs27ZNKMfh4eEBZ2dneHp6\\\n",
       "ws/PD25ubkVeoySBQ6fT4eTJkzh79ixEIhGaNWuGoKCgYofc5ufn4/r162aB1/T9kpKhOoSEEHtB\\\n",
       "PYSEEPISO3PmDMaOHYs1a9ZYhIj09HTs2bPHopfMNE/NyckJYrEYeXl5MBqNwhBRpVKJV199FdOn\\\n",
       "T0e9evXg4OBQokVi9Ho9dDod5HJ5kUFp3759ZiGWYRjI5XIolUrk5+db9PyJRCKMHj0aYWFhcHJy\\\n",
       "glKpxFdffYU33njDbHEcDw8PnDt3DkFBQUhJSUGbNm2QkpJSbLtNnJ2dsWTJEgwbNkzo5ZRIJOjW\\\n",
       "rRu6dOkCvV4Po9EIjuNQUFCAmzdvYv78+Th+/LhZOQ/TwjpisRharbbI+Y48zyMjIwO///47Tp06\\\n",
       "hebNm8PBwQEdOnSw+RkaDAa8//77SE5Otno+UjLUQ0gIsRfUQ0gIIS+5X375Be+8847FcMEjR45Y\\\n",
       "XU2UYRjIZDI4OzvD2dlZCHBSqRR+fn6YN28eVq9ejdDQUDg7OxfZ62cKRxcuXMDkyZPRp08fTJw4\\\n",
       "EVeuXLEIQjzPIzExEV9//TUACKH0/fffx/Xr13Hjxg1s3LgRHh4eZseJRCJ4e3tDKpUKw1jDw8PR\\\n",
       "tm1bYdVRJycnnD9/HrVq1YJUKkVgYCBatWpV7Gcnk8lQo0YNLFiwAAkJCRg1apTVIa8sy0Imk8HB\\\n",
       "wQGOjo7w8vJCWFgYvvnmG0RERMDd3V14z8fHB9WrV4ebm1uJFtcxLXgTFxeHP//8E6+//joWLVpk\\\n",
       "VuPRtF9GRgZ69+6N9evXU2/gM6IeQkKIvaAeQkIIecnxPI9Vq1bh0qVL+Pvvv+Hu7o78/HysX7/e\\\n",
       "Yl9TGPTw8DBb3dI0hLRnz54YPHgwHB0dzcKM0WiEVqtFZmYmEhMTER8fjytXruDkyZO4desWcnNz\\\n",
       "hV7Go0ePYt26dXB3d0efPn3Qt29fyOVy/Pvvv9i0aROysrIAPCmtsHTpUgwdOhQSiQQ8z6NXr16I\\\n",
       "iIjA77//LoQho9GI8+fPC72VpnsYP348EhMTAQA///wzatasKbSXZVn07t3bag8p8GRo6fvvv49p\\\n",
       "06ZBoVCUKLgVJhaLUa9ePUyfPh27d+9GQkICgCe9iunp6bh582apykCY5gBmZGTgk08+wbfffouw\\\n",
       "sDC0atUKubm5OHLkCG7evGmzZIjJyxBepkyZAldX18puBiGEvBQoEBJCiB3geR4XLlxAUFAQWrRo\\\n",
       "AalUikuXLpmFIZZloVAoEBQUhIYNG8LR0RFJSUnQ6/UoKCiAt7c32rRpA0dHR7P6eHq9Hv/X3p1H\\\n",
       "V1Xeaxx/zsnJOUnIAARMDBDAgTDIIAFCoFdlELxFMIqCXAUFFKVABXoreCtitS0iFKiU4Q6Aty4E\\\n",
       "i1fFgqI0AmIB0wCiTCmGUSCEAJlIcjKcff9gZZecJJB5cH8/a521zN7vHt5N1PPwe/f7Hj58WPPn\\\n",
       "z1d8fLzS09PNoZPlKSoq0sWLF7V69WqtWbPGPNf1QkJCNGzYMLMiV1z9815Ko6ioSGvWrFFubq6m\\\n",
       "T5+uJk2aKDc3V35+frr//vsVGxurfv36lbqHu+66SwEBAebMm8WVxN/+9rd69tlnb7isQ0W5XC51\\\n",
       "69ZNLVu2VFpami5duqQjR47o008/rdYspcVLhWzatEmbNm2q9n2iNIaMArAKAiEAWIjb7dbu3btL\\\n",
       "BLriBd0DAgIUGRmp3r17q1u3bgoICND58+fVsmVLpaenKzIyUm3bti2xwPmVK1e0fPlyLV26VFeu\\\n",
       "XKnSO2rlHZObm1vii7ZhGMrMzFRCQkKpoZInT57U8uXLlZycrC5duuj8+fM6ePCg7Ha7fvKTn5Q6\\\n",
       "d2FhoXJzc9WtWzedOXNGERERmjFjhuLi4uTn51fpPpSnOGS6XC6FhYXpwoUL+v7773Xu3LlKzaKK\\\n",
       "ukcgBGAVBEIAsCDvQFU8HPHq1avKzs5WYGCgunTpoj59+ig3N1fZ2dny8/PTrbfeqsLCQmVkZOjI\\\n",
       "kSN68cUXlZiYWKmhjxWVnp6uzZs36/HHH5fD4VB2drbmzZunkydPlmpbWFioK1eu6M9//rNsNpvZ\\\n",
       "Jx8fH504cUIOh0NDhgwxh2tu2bJFO3bsUFRUlF5++WXdd999CggIqPE+XL+Mh6+vrwoKCnT16lVd\\\n",
       "unSJd/waOAIhAKsgEAJAI+Pj46PAwEBzofGaCBYej0c5OTk6c+aMsrKyFBoaqn/5l39RZGSkOZul\\\n",
       "x+ORx+OR2+1WUlKSZs+erb///e+1trZdYWGhpk6dqs8++0ytW7fW559/fsP37spaZ8/j8ejkyZN6\\\n",
       "4okn5OfnZ64jaBiGHA6HevbsaVZDa9L1SzwUT2zj6+srPz8/nTt3Trm5uTV6vetdH2SKgzEqj0AI\\\n",
       "wCoIhADQyAQEBKhTp07Kz8/X8ePHlZ2dLY/HY75jd/2QzsoqKirS5cuXtXXrVv37v/+7/Pz8Skyo\\\n",
       "Urwkxblz58zF7GtTdna21q1bZ1b9qqqwsFDZ2dklthUVFenAgQM6f/68WrduXd1bNWVlZem7776T\\\n",
       "JHXs2FEhISFmKPR4PLX23BwOh2JiYjRt2jR16NBBbrdbBw8e1Mcff6zExERduXJFhYWFtVLN/TEi\\\n",
       "EAKwCgIhADQyBQUFOnfunDkcMSgoSP7+/mrXrp3atGmjY8eO6eDBg8rPz6/S+YuXf8jPzy81u6bN\\\n",
       "ZpPT6VSzZs1uuH5eTautKldOTo5ee+01ffjhh1VaqN7b5cuXNWLECO3fv1++vr568MEHNX/+fIWF\\\n",
       "hUmSzp8/r3/84x813p/mzZvrs88+U8+ePUv8mfXt21cTJkxQbm6ufvjhBx09elRxcXE1em0AQONG\\\n",
       "IASARsbtduuHH36Q3W6X3W5XcHCwYmNj9cwzz6hVq1bavn27XnnllSoHQula6MzJySlzn91u1+23\\\n",
       "366goKBy21S3oleXPvvsM+3YsUMDBw40Kz0ej0fZ2dlyOBzy9/evUAXIMAz9z//8j3bv3m0OF123\\\n",
       "bp0OHjyopUuXKiwsTKtXr1ZmZmaN3HdxRbhLly7avHmzWrVqVWY7u92uJk2aKCoqSh06dKiRa1sB\\\n",
       "FUIAVkEgBIBGpvi9sOLQkZ2drZCQEHXu3FkhISHq2bNnmYunV/Ya33//vXr16lXm/mbNmik6Olqf\\\n",
       "f/65OQSxuGIZEBAgHx8fZWdnVyuU1pWCggLFxcXp97//vQYOHKgTJ05owYIFOnDggO69916tWLFC\\\n",
       "oaGhFTrXt99+W+KdTo/HowMHDuihhx5S586d9f3331d5uKifn5+io6N1//33q23btgoNDdUdd9yh\\\n",
       "2267rcJLZBBcKo5ACMAqCIQA0Mi53W4lJCQoMzNTISEhklTtIGYYhlatWqXHHntMPj4+pfYZhqH+\\\n",
       "/ftr//795kLyTZo00Z133qm77rpLeXl52rNnj06fPt0oQmF2drYmT54sHx+fEmsofvTRRxoyZIgm\\\n",
       "TJhw08XpbTabhgwZonfffbdUdfTKlStKSEiQVLXhry6XS++++65GjBhR6s8DtYNACMAqCIQA0IBV\\\n",
       "ZOilYRg6evSo3njjDf3bv/2bPvroI3Ox9eqcd8eOHXrzzTc1efJkcxbOwsJCZWVlKSkpSZcuXVKb\\\n",
       "Nm0UFBSkkJAQ9e7dWwMGDFBERITS09MVFhamTz/9VD/88IPcbrekazOk+vj4qLCwUG63u8wZUouH\\\n",
       "whYVFdXpsNPiWVSvV1BQoJUrV2rMmDEKCAgwJ4YpLCw0+3K9uLg4BQcHKyMjo9T5i4+pynDadu3a\\\n",
       "6cEHH6yRMNhYhvLeyIIFC8odrlxTCIQArIJACKBMBQUFevnll/XJJ5/o+PHjCgkJ0eDBg/XGG28o\\\n",
       "IiLihscuW7ZMCxYsUEpKirp3766lS5eqT58+5v68vDz94he/0Pr16+V2uzV06FAtX77cnHgD/7R9\\\n",
       "+3YdPHhQixYt0vHjx8v9Ml9YWKj169dr8+bNysnJuelMkhUJBQUFBfrVr36l119/XS6XS3a7XQ6H\\\n",
       "w/wUr60XHh6ue+65Rw899JA5fLGwsFCdOnXSgAEDdOTIEbndbrVu3VodOnRQ8+bNlZmZqbfffltr\\\n",
       "1qwptQRDQECA2rdvr5SUFKWlpdV7gDl69KgOHTqkHj16yOPx6PTp09q9e7fat2+vmJiYEsM1g4KC\\\n",
       "9Oabb+r5558v874dDodsNlulJ+Tp1KlTjUx6g4ojEAKwCv7vAqBMOTk52rdvn+bMmaPu3bvrypUr\\\n",
       "euGFFzRixAglJiaWe9x7772nmTNnauXKlYqJidGSJUs0dOhQJSUl6ZZbbpEkzZgxQ5s3b9aGDRsU\\\n",
       "EhKiqVOn6pFHHtHf/va3uupeo3HPPffonnvu0YQJEzRmzBht3Lix3IBUVFSk9PT0Gr2+YRjKzc0t\\\n",
       "c908Hx8fuVwuuVwu3XHHHbrzzjsVFBRkDq0MCgpSmzZtNGjQIHPdv+IKmSR16dJFWVlZWrt2bYnK\\\n",
       "nN1u109+8hP5+/vrf//3f3Xp0qUa7VNl5ebmatWqVfqP//gPeTwexcfHa/PmzWrXrp1uv/12RURE\\\n",
       "mH2y2Wx6+umn9frrr+uHH34oda7i55OamlqpoJuSkqKioqJqhcLi904ZcgoAuN6NX4gAYFkhISHa\\\n",
       "unWrRo0apaioKPXt21d//OMftXfvXp0+fbrc4xYtWqRnn31W48ePV+fOnbVy5UoFBARo9erVkqSM\\\n",
       "jAytWrVKixYt0sCBAxUdHa01a9Zo165d2rNnT111r9Hx8/PTyy+/XO3JYmpSUVGR8vPzlZGRIYfD\\\n",
       "YVYRi9ntdvn4+MjpdMrlcsnhcJjr8dlsNvn5+enee+8tVV0pKCiQv7+/oqOj1blz53Lf3SseWlrb\\\n",
       "DMPQoUOHlJqaqqtXr8rj8Zj9KWuCGF9fX/Xv37/Mc/n5+Sk4OLjS933mzBllZWVV6f6la6H20KFD\\\n",
       "+uijj6p8Dqsp/j2t6AcAGisCIYAKy8jIkM1mU9OmTcvcn5+fr71792rw4MHmNrvdrsGDB2v37t2S\\\n",
       "pL1796qgoKBEm44dOyoyMtJsg7L17NlTv/71rxvUl8/CwkKlpqbq9OnTZVaebDabGdy877v4d8P7\\\n",
       "OLfbrfPnz6tXr15auHChoqKiShxrs9nUvHlzPffcc1q8eLGGDRsml8tVa8/FMAwdPHhQ+/fvl8Ph\\\n",
       "UL9+/TRx4kSNGjWqzH8XbDabZs+eXWboy8nJUV5eXqXv4fz58xo2bJguX75cqeM8Ho/++Mc/qmXL\\\n",
       "lurWrZseffTRSl/bqgiEAKyCQAigQvLy8jRr1iyNGTNGwcHBZbZJS0tTUVFRqXcBw8LClJKSIuna\\\n",
       "0Den01nqi/T1bcridruVmZlZ4mM1NptNs2bN0po1axrU+2R5eXlasGCBLl68WG6bwsJCFRQUlBom\\\n",
       "GRERYc6MWszj8WjPnj1q3ry5evbsqfj4eHXp0sUMlQEBAfrv//5vLV26VD//+c+1adMmZWRkaP/+\\\n",
       "/RVefqGyMjMz9f7776tZs2bq2rWrHnjgAfXt21dBQUFlhoHipTeuZxiGLl26pDNnzlR66QmPx6Pd\\\n",
       "u3erRYsW6t27tzmz641kZWWpbdu2mjZtmq5evVrv72I2RoRBAFZAIAQgSVq7dq0CAwPNz86dO819\\\n",
       "BQUFGjVqlAzD0IoVK+rl/ubNm6eQkBDz06ZNm3q5j/pms9n0+OOPa8qUKRVeML0upKena9q0aWXO\\\n",
       "Gup2u7V582b9/ve/V3Jycolg4uPjo65du5Y65vLly+bC682bN1efPn3MvhqGoRYtWpSowLlcLnXr\\\n",
       "1k2PP/54LfTu2jUTEhKUlpZmVjyLA2rxu3nFn+zsbC1cuPCmE/tU9T727t2rJ5988oZDSPPy8jR9\\\n",
       "+nSdPXu2xu/BKuqyQki4BFCfCIQAJEkjRozQN998Y36KFyQvDoOnTp3S1q1by60OSlKLFi3k4+Oj\\\n",
       "CxculNh+4cIFhYeHS5LCw8OVn59favKT69uU5aWXXlJGRob5OXPmTBV72vg5nU69+uqrevfdd/Xo\\\n",
       "o4+qVatW9f5uoWEY2rhxoz799NNS2//617/qqaee0pw5c9S3b1/t2LHDDIU2m00PPPBAqfPl5eUp\\\n",
       "KyvLbHfp0iV5PB4ZhiG3263k5ORSX55tNpvmzJlzw3cOq/OFOzMzU6+99ppyc3PNtRgLCgqUkpKi\\\n",
       "zZs367XXXtOTTz6p3r176+233661ipxhGEpMTNRXX32lrKwsud1u5eTkKD09XSkpKdq/f7+mT5+u\\\n",
       "tWvXUhWshroKhLVV1QaAimo4Y44A1KugoCAFBQWV2FYcBo8dO6Zt27YpNDT0hudwOp2Kjo5WfHy8\\\n",
       "4uLiJMmclXHq1KmSpOjoaPn6+io+Pl4jR46UJCUlJen06dOKjY0t99zFs1lazfUVt+Iv94ZhKCgo\\\n",
       "SA8++KD+9V//VampqZo/f75Wr15d5mygdaWoqEijRo3S0aNH1bp1a9lsNuXl5Wnu3LnmunyXLl3S\\\n",
       "gw8+qC+//FI9evSQYRi64447ZLfbS/S1oKBAiYmJCg8PV2pqqnbt2mX2v6ioSFu2bNHTTz9d6ot4\\\n",
       "ZGSkmjRpUqJ6ZrPZ1KpVKz3zzDPy9fXVn/70J33//feVHrZpGIb+7//+Tw6HQ7/85S9ls9m0YcMG\\\n",
       "rVq1ShcvXjQDa21zOByKiopSTk6O/v73v+vrr7/WRx99pBMnTigvL88cnlsbFUorqYtlJ2bPnq38\\\n",
       "/PwqHQsANYVACKBMBQUFevTRR7Vv3z5t2rRJRUVF5jt+zZs3l9PplCQNGjRIDz/8sBn4Zs6cqaee\\\n",
       "ekq9evVSnz59tGTJEl29elXjx4+XdG320okTJ2rmzJlq3ry5goODNW3aNMXGxqpv377109kG7Pbb\\\n",
       "b5dhGLLZbAoJCdF9992nn/3sZ7rtttvM9QBbt26tl19+Wdu3b9fhw4frtSqUk5Ojn/70p9q+fbuC\\\n",
       "g4N19uxZHT9+vESbq1ev6v7779fGjRvVoUMHpaamyuFwlPhi7PF4tGzZMoWFhenDDz8sNZnKnj17\\\n",
       "ylxCwdfXV+PHj9fSpUvN59axY0dt375dLVu2lCS9+OKL2rlzpx577LFKL2lRVFSkdevW6f3335ek\\\n",
       "Mt+LrC02m00tWrTQSy+9pEcffVQOh0Mff/yxFi5cqCtXrlANbAC2bdumyZMnmz/369dPY8eOLbf9\\\n",
       "/PnzJcn8XQWA+kAgBFCms2fP6uOPP5Yk9ejRo8S+bdu26b777pMkJScnKy0tzdw3evRoXbx4Ua+8\\\n",
       "8opSUlLUo0cPbdmypcREM4sXL5bdbtfIkSNLLEyP0k6ePFni5++++04JCQn6/PPPFRgYKOlaUAgN\\\n",
       "DVXnzp11+PDhCp23ePZPm81mvvtWUcXv9pV33JEjR7R69WqNGzdOp06dKnMR9suXL+vhhx/WqFGj\\\n",
       "dPz48TLDTGJiol588UUdO3asVDUvLS1N+fn58vf3L3XcvHnzdPDgQR04cEAxMTFau3ZtiUmMHA6H\\\n",
       "BgwYoAMHDqhbt25lztzp4+NjvhvozTCMGqnq+Pv7KywsTE6nU1euXFFWVpby8/PN4ajXczqdGjNm\\\n",
       "jBYvXqymTZuaf2633HKLMjMzCYO1oCoVwqSkJCUlJZnbV65cWW4gLD7mP//zP6t5pwBQPQRCAGVq\\\n",
       "165dhb5kegcWSZo6dapZMSyLn5+fli1bpmXLllXnFi3J4/EoMTFRZ86cUadOncztPj4+FZpopzgI\\\n",
       "Op1O+fn5yel0KicnR9nZ2RX68/bx8dH999+v0aNHa/369dq6dWup0FRUVKQNGzZo8ODBysvLK3ch\\\n",
       "9LS0NK1Zs0ZOp7PM4JWbm6vvvvtObre71L7CwkLl5uaWGQgDAgK0ZcsW5ebmKiAgoNwZWVu1aqXf\\\n",
       "/e53mjx5com+2+12tWvXTv7+/jp48OANn0dVBQQE6JlnntHo0aPl4+OjhIQE/elPf9KhQ4dKLUth\\\n",
       "t9s1ZMgQrVixokR/7Xa7unbtShisJVUJhFFRURowYIC5vV+/fmW2j4qKknTt92DSpEnVvFMAqB4C\\\n",
       "IQA0MoWFhdqzZ0+JQFhcJbwZm80ml8ul4OBgBQcHq2nTpkpPT9fJkydvWvWy2+2aMWOGfvOb38jX\\\n",
       "11fDhw9X165ddf78+VJtL1y4oKtXr6pJkyby9/c33yH0lpubK7fbXWao8Xg8crvd5VYvb/SOnK+v\\\n",
       "b4Um2hk+fLimTZtWoorp6+urRx55RJ06ddKkSZNq/F284mGsEyZMUPv27WUYhvz8/LR79+4yh/z6\\\n",
       "+Pho8uTJZYbfsLAw2e32ct+HdDgcla4A45qqBMIBAwZUaCbmf/zjH5KuDbEua3Kkb7/9tszZdwGg\\\n",
       "NjDLKAA0MoZh6MiRI6W2N2nS5KZfYG02mxwOh/z8/BQQEKBmzZrplltuqdCEPc2bN9fs2bPlcrlk\\\n",
       "t9vVrFmzct/7LA6XAQEBCggIuOF5bzQZS3nbi5d9qK6goKBSFUSHw6Hu3burZ8+e8vPzq/Y1vNls\\\n",
       "NnXo0EEtWrSQ0+mUw+GQy+WSYRhlBju73a7bbrutzHO5XK5yK7DF4b+8/bix2pxl9IUXXiixzE/x\\\n",
       "8G9JCgwMJAwCqFNUCAGgAavocECbzaYXXnhBL7zwQi3f0T/Z7XZ98MEHN22XnJxcB3dTNUFBQcrJ\\\n",
       "ySl3/43W+qtJHTt21Lp16yp9nNPprNeZZX/ManOW0SVLlmjJkiVlnqOufucAoBgVQgAAAACwKCqE\\\n",
       "AAAAXupiHcLrMTkQgPpCIAQAAPBS14EQAOoLgRAAAMALgRCAVRAIAQAAvBAIAVgFgRAAAMALgRCA\\\n",
       "VTDLKAAAAABYFBVCAAAAL1QIAVgFgRAAAMALgRCAVRAIAQAAvBAIAVgFgRAAAMALgRCAVRAIAQAA\\\n",
       "ykDQA2AFzDIKAAAAABZFhRAAAMALQ0YBWAWBEAAAwAuBEIBVEAgBAAC8EAgBWAWBEAAAwAuBEIBV\\\n",
       "EAgBAAC8EAgBWAWBEAAAwAuBEIBVsOwEAAAAAFgUFUIAAAAvVAgBWAWBEAAAwAuBEIBVEAgBAAC8\\\n",
       "EAgBWAWBEAAAwAuBEIBVEAgBAAC8EAgBWAWzjAIAAACARVEhBAAA8EKFEIBVEAgBAAC8EAgBWAWB\\\n",
       "EAAAwAuBEIBVEAgBAAC8EAgBWAWBEAAAwAuBEIBVMMsoAAAAAFgUFUIAAAAvVAgBWAWBEAAAoAwE\\\n",
       "PQBWQCAEAADwQoUQgFUQCAEAALwQCAFYBYEQAADAC4EQgFUQCAEAALwQCAFYBctOAAAAAIBFUSEE\\\n",
       "AADwQoUQgFUQCAEAALwQCAFYBYEQAADAC4EQgFUQCAEAALwQCAFYBYEQAADAC4EQgFUwyygAAAAA\\\n",
       "WBSBEAAAwEtxhbCin+qeOzQ0tJZ6AgA3RiAEAADwUpuBsFhwcLACAgIkSZcvX9arr75agz0AgIoh\\\n",
       "EAIAAHipzUBoGIYMw1BGRoauXr2qgQMHSpJef/312ugKANwQk8oA+FHLycnRggUL6vs2ANSgnJyc\\\n",
       "Wr9GVSaV2bZtmyZPnmxu79evn8aOHXvT4w8dOiRJZrUQAOoSgRDAj15dfHkE8ONSlUCYlJSkpKQk\\\n",
       "c/vKlStvGghPnz6tCxcuSJKysrKqeLcAUHUEQgAAgBoQFRWlAQMGmD/369fvpse0bdtWktSpU6da\\\n",
       "uy8AuBECIQAAgJeqVAgHDBigFStWVOoaktSmTRsdPny48jcJADWASWUAVMjzzz8vm82mJUuW3LTt\\\n",
       "smXL1K5dO/n5+SkmJkYJCQkl9ufl5WnKlCkKDQ1VYGCgRo4caQ6ZAoCGoDYnlcnIyDCPadGihU6f\\\n",
       "Pl0bXQCACiEQAripDz/8UHv27FFERMRN27733nuaOXOm5s6dq3379ql79+4aOnSoUlNTzTYzZszQ\\\n",
       "X/7yF23YsEE7duzQuXPn9Mgjj9RmFwCgUmozEDZt2lSSZLfbddtttykmJkYxMTEV+gs3AKhpBEIA\\\n",
       "N3T27FlNmzZNa9eula+v703bL1q0SM8++6zGjx+vzp07a+XKlQoICNDq1aslXfub8VWrVmnRokUa\\\n",
       "OHCgoqOjtWbNGu3atUt79uyp7e4AQIXV5hqEkuTxeJSQkGB+ZsyYUYN3DwAVQyAEUC6Px6OxY8fq\\\n",
       "l7/8pbp06XLT9vn5+dq7d68GDx5sbrPb7Ro8eLB2794tSdq7d68KCgpKtOnYsaMiIyPNNgBQ3+pi\\\n",
       "HcKyPgBQ15hUBkC55s+fL4fDoZ///OcVap+WlqaioiKFhYWV2B4WFqajR49KklJSUuR0Os0hU9e3\\\n",
       "SUlJKffcbrdbbrfb/DkzM7OCvQAAAEB5qBACkCStXbtWgYGB5mfHjh36wx/+oLfffrtaQ6Jqyrx5\\\n",
       "8xQSEmJ+2rRpU9+3BOBHrDYrhADQkBAIAUiSRowYoW+++cb87Nq1S6mpqYqMjJTD4ZDD4dCpU6f0\\\n",
       "i1/8Qu3atSvzHC1atJCPj0+pGUMvXLig8PBwSVJ4eLjy8/OVnp5ebpuyvPTSS8rIyDA/Z86cqVZ/\\\n",
       "AeBGCIQArIIhowAkSUFBQQoKCjJ/njRpkoYPH16izdChQzV27FiNHz++zHM4nU5FR0crPj5ecXFx\\\n",
       "kq69hxgfH6+pU6dKkqKjo+Xr66v4+HiNHDlSkpSUlKTTp08rNja23PtzuVxyuVzV6SIAVFhV1iEE\\\n",
       "gMaIQAigTKGhoQoNDS2xzdfXV+Hh4YqKijK3DRo0SA8//LAZ+GbOnKmnnnpKvXr1Up8+fbRkyRJd\\\n",
       "vXrVDJEhISGaOHGiZs6cqebNmys4OFjTpk1TbGys+vbtW3cdBIAbIBACsAoCIYBqSU5OVlpamvnz\\\n",
       "6NGjdfHiRb3yyitKSUlRjx49tGXLlhITzSxevFh2u10jR46U2+3W0KFDtXz58vq4fQAoE4EQgFUQ\\\n",
       "CAFU2MmTJyu0berUqWbFsCx+fn5atmyZli1bVoN3BwA1h0AIwCqYVAYAAAAALIoKIQAAgBcqhACs\\\n",
       "gkAIAADghUAIwCoIhAAAAF4IhACsgkAIAADghUAIwCoIhAAAAF4IhACsgllGAQAAAMCiqBACAAB4\\\n",
       "oUIIwCoIhAAAAF4IhACsgkAIAADghUAIwCoIhAAAAF4IhACsgkAIAADghUAIwCqYZRQAAAAALIoK\\\n",
       "IYBGyTCM+r4FAA1cdf47kZWVVeHKX1ZWVpWvAwD1jUAIoFHKysrSr3/96/q+DQANWFZWlkJCQip1\\\n",
       "zN133y1JatOmTaWvV3wsADQmNoO/ZgfQCHk8Hp07d05BQUGWfn8nMzNTbdq00ZkzZxQcHFzft1Nv\\\n",
       "eA7X8ByuMQxDWVlZioiIkN1e+bdj/uu//kv79++v1DF33323Jk2aVOlrAUB9IxACQCOWmZmpkJAQ\\\n",
       "ZWRkWDoA8Byu4TkAACqLSWUAAAAAwKIIhAAAAABgUQRCAGjEXC6X5s6dK5fLVd+3Uq94DtfwHAAA\\\n",
       "lcU7hAAAAABgUVQIAQAAAMCiCIQAAAAAYFEEQgAAAACwKAIhADQgBQUFmjVrlrp27aomTZooIiJC\\\n",
       "48aN07lz52567LJly9SuXTv5+fkpJiZGCQkJJfbn5eVpypQpCg0NVWBgoEaOHKkLFy7UVleq5WZ9\\\n",
       "8bZhwwZ17NhRfn5+6tq1qz755JMS+w3D0CuvvKJbb71V/v7+Gjx4sI4dO1abXai2efPmqXfv3goK\\\n",
       "CtItt9yiuLg4JSUl3fS4H+OzAADUHgIhADQgOTk52rdvn+bMmaN9+/bpgw8+UFJSkkaMGHHD4957\\\n",
       "7z3NnDlTc+fO1b59+9S9e3cNHTpUqampZpsZM2boL3/5izZs2KAdO3bo3LlzeuSRR2q7S5VWkb5c\\\n",
       "b9euXRozZowmTpyo/fv3Ky4uTnFxcTp48KDZ5s0339Rbb72llStX6uuvv1aTJk00dOhQ5eXl1VW3\\\n",
       "Km3Hjh2aMmWK9uzZo61bt6qgoEBDhgzR1atXyz3mx/osAAC1yAAANGgJCQmGJOPUqVPltunTp48x\\\n",
       "ZcoU8+eioiIjIiLCmDdvnmEYhpGenm74+voaGzZsMNscOXLEkGTs3r279m6+Cm7WF2+jRo0yhg0b\\\n",
       "VmJbTEyM8dxzzxmGYRgej8cIDw83FixYYO5PT083XC6XsW7dulroQe1ITU01JBk7duwot41VngUA\\\n",
       "oOZQIQSABi4jI0M2m01NmzYtc39+fr727t2rwYMHm9vsdrsGDx6s3bt3S5L27t2rgoKCEm06duyo\\\n",
       "yMhIs01DUJG+eNu9e3eJ9pI0dOhQs/2JEyeUkpJSok1ISIhiYmIaVN9vJiMjQ5LUvHnzcttY5VkA\\\n",
       "AGoOgRAAGrC8vDzNmjVLY8aMUXBwcJlt0tLSVFRUpLCwsBLbw8LClJKSIklKSUmR0+ksFSqvb9MQ\\\n",
       "VKQv3lJSUm7a9+JtFT1nQ+PxeDR9+nT1799fd911V7ntrPAsAAA1i0AIAPVo7dq1CgwMND87d+40\\\n",
       "9xUUFGjUqFEyDEMrVqyox7tEfZsyZYoOHjyo9evX1/etAAB+ZBz1fQMAYGUjRoxQTEyM+XOrVq0k\\\n",
       "/TMMnjp1Sl988UW51UFJatGihXx8fErNGHrhwgWFh4dLksLDw5Wfn6/09PQSVcLr2zQEFemLt/Dw\\\n",
       "8Jv2vXjbrbfeWqJNjx49avDua8fUqVO1adMmffnll2rduvUN2/7YnwUAoOZRIQSAehQUFKQ77rjD\\\n",
       "/Pj7+5th8NixY/rrX/+q0NDQG57D6XQqOjpa8fHx5jaPx6P4+HjFxsZKkqKjo+Xr61uiTVJSkk6f\\\n",
       "Pm22aQgq0hdvsbGxJdpL0tatW8327du3V3h4eIk2mZmZ+vrrrxtU370ZhqGpU6fqww8/1BdffKH2\\\n",
       "7dvf9Jgf67MAANSi+p7VBgDwT/n5+caIESOM1q1bG998841x/vx58+N2u812AwcONJYuXWr+vH79\\\n",
       "esPlchlvv/22cfjwYWPSpElG06ZNjZSUFLPN888/b0RGRhpffPGFkZiYaMTGxhqxsbF12r+KuFlf\\\n",
       "xo4da8yePdts/7e//c1wOBzGwoULjSNHjhhz5841fH19je+++85s88YbbxhNmzY1Nm7caHz77bfG\\\n",
       "Qw89ZLRv397Izc2t8/5V1OTJk42QkBBj+/btJX4PcnJyzDZWeRYAgNpDIASABuTEiROGpDI/27Zt\\\n",
       "M9u1bdvWmDt3boljly5dakRGRhpOp9Po06ePsWfPnhL7c3NzjZ/97GdGs2bNjICAAOPhhx82zp8/\\\n",
       "Xwe9qrwb9eXee+81nnrqqRLt//znPxsdOnQwnE6n0aVLF2Pz5s0l9ns8HmPOnDlGWFiY4XK5jEGD\\\n",
       "BhlJSUl10ZUqK+/3YM2aNWYbqzwLAEDtsRmGYdRPbRIAAAAAUJ94hxAAAAAALIpACAAAAAAWRSAE\\\n",
       "AAAAAIsiEAIAAACARREIAQAAAMCiCIQAAAAAYFEEQgAAAACwKAIhAAAAAFgUgRAA0CisWrVKQ4YM\\\n",
       "qfXrbNmyRT169JDH46n1awEAUN8IhACABi8vL09z5szR3Llza/1aDzzwgHx9fbV27dpavxYAAPWN\\\n",
       "QAgAaPDef/99BQcHq3///nVyvaefflpvvfVWnVwLAID6RCAEANSZixcvKjw8XL/73e/Mbbt27ZLT\\\n",
       "6VR8fHy5x61fv17Dhw8vse2+++7T9OnTS2yLi4vT008/bf7crl07/eY3v9G4ceMUGBiotm3b6uOP\\\n",
       "P9bFixf10EMPKTAwUN26dVNiYmKJ8wwfPlyJiYlKTk6uemcBAGgECIQAgDrTsmVLrV69Wq+++qoS\\\n",
       "ExOVlZWlsWPHaurUqRo0aFC5x3311Vfq1atXla65ePFi9e/fX/v379ewYcM0duxYjRs3Tk8++aT2\\\n",
       "7dun22+/XePGjZNhGOYxkZGRCgsL086dO6t0TQAAGgsCIQCgTv30pz/Vs88+qyeeeELPP/+8mjRp\\\n",
       "onnz5pXbPj09XRkZGYqIiKjy9Z577jndeeedeuWVV5SZmanevXvrscceU4cOHTRr1iwdOXJEFy5c\\\n",
       "KHFcRESETp06VaVrAgDQWBAIAQB1buHChSosLNSGDRu0du1auVyuctvm5uZKkvz8/Kp0rW7dupn/\\\n",
       "HBYWJknq2rVrqW2pqakljvP391dOTk6VrgkAQGNBIAQA1Lnk5GSdO3dOHo9HJ0+evGHb0NBQ2Ww2\\\n",
       "Xbly5abnLSoqKrXN19fX/GebzVbuNu9lJi5fvqyWLVve9JoAADRmBEIAQJ3Kz8/Xk08+qdGjR+v1\\\n",
       "11/XM888U6o6dz2n06nOnTvr8OHDpfZ5D/M8fvx4jdxjXl6ekpOTdffdd9fI+QAAaKgIhACAOvWr\\\n",
       "X/1KGRkZeuuttzRr1ix16NBBEyZMuOExQ4cO1VdffVVq+8aNG/XBBx8oOTlZv/3tb3X48GGdOnVK\\\n",
       "Z8+erdY97tmzRy6XS7GxsdU6DwAADR2BEABQZ7Zv364lS5bonXfeUXBwsOx2u9555x3t3LlTK1as\\\n",
       "KPe4iRMn6pNPPlFGRkaJ7cOGDdObb76pzp0768svv9Ty5cuVkJCgd955p1r3uW7dOj3xxBMKCAio\\\n",
       "1nkAAGjobMb182wDANBAPfbYY+rZs6deeuklSdfWIezRo4eWLFlSo9dJS0tTVFSUEhMT1b59+xo9\\\n",
       "NwAADQ0VQgBAo7BgwQIFBgbW+nVOnjyp5cuXEwYBAJZAhRAA0CjVVoUQAAArIRACAAAAgEUxZBQA\\\n",
       "AAAALIpACAAAAAAWRSAEAAAAAIsiEAIAAACARREIAQAAAMCiCIQAAAAAYFEEQgAAAACwKAIhAAAA\\\n",
       "AFgUgRAAAAAALIpACAAAAAAWRSAEAAAAAIsiEAIAAACARREIAQAAAMCiCIQAAAAAYFH/D37GKtCC\\\n",
       "9RuyAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[14] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAApolJREFUeJzs3XdUFOf7NvBrZissvUhXQFFsWLCXiF1jb1GjUb+aaCyxRY0m\\\n",
       "xkRjTdHEHntij4klxt4rorHFhg1EBekdts+8f/ju/Fx2lyaIuPfnnD2R2SnPLBjn4n4Kw/M8D0II\\\n",
       "IYQQQgghVoct6wYQQgghhBBCCCkbFAgJIYQQQgghxEpRICSEEEIIIYQQK0WBkBBCCCGEEEKsFAVC\\\n",
       "QgghhBBCCLFSFAgJIYQQQgghxEpRICSEEEIIIYQQK0WBkBBCCCGEEEKsFAVCQgghhBBCCLFSFAgJ\\\n",
       "IYQQQgghxEpRICSEEEIIIYQQK0WBkBBCCCGEEEKsFAVCQgghhBBCCLFSFAgJIYQQQgghxEpRICSE\\\n",
       "EFIsp0+fBsMwOH36dFk3hZSwy5cvQyqVIiYm5o1fOyUlBQqFAgcPHnzj1yaEEGtEgZAQQki+Vq5c\\\n",
       "iU2bNpV1M4pl27Zt+Pnnn8u6GQAAjuPw/fffIyAgAHK5HCEhIdi+fXuhj09PT8fIkSPh7u4OhUKB\\\n",
       "1q1b49q1ayb77dy5E4MHD0ZQUBAYhkFYWFiR2/rVV19h4MCBqFSpUpGPfV2urq74+OOP8fXXX7/x\\\n",
       "axNCiDVieJ7ny7oRhBBC3l61atWCm5ubSSWQ4zhoNBpIpVKw7Nv5+8WuXbvi9u3bePLkSVk3BTNm\\\n",
       "zMDChQvxySefoGHDhti3bx8OHDiA7du3Y8CAAfkey3EcWrZsiZs3b2Lq1Klwc3PDypUr8ezZM1y9\\\n",
       "ehVBQUHCvmFhYbh69SoaNmyIGzduICQkpEhV3Bs3bqBevXq4ePEimjZtWtzbfS337t1DjRo1cOLE\\\n",
       "CbRp06ZM2kAIIdaCAiEhhBRCTk4OFApFWTejTFgKhOXB2xIIY2NjERAQgJEjR2L58uUAAJ7n0apV\\\n",
       "K0RHR+PJkycQiUQWj//jjz/Qv39/7Nq1C3379gUAJCUloWrVqujcuTO2bdsm7Pvs2TP4+PiAZdli\\\n",
       "fe8mTJiAvXv34smTJ2AYpng3XAJq166NevXq4ffffy+zNhBCiDV4O3+lSwghpSg2NhYjRoyAt7c3\\\n",
       "ZDIZAgICMHr0aGg0GgDApk2bwDAMzpw5gzFjxqBChQrw9fUVjl+5ciVq1qwJmUwGb29vjB07Funp\\\n",
       "6UbXePjwIfr06QNPT0/I5XL4+vpiwIAByMjIEPY5duwYWrRoAScnJ9jZ2aFatWr48ssvC2x/YY5T\\\n",
       "q9X45ptvUKVKFchkMvj5+WHatGlQq9Um59uyZQsaNWoEW1tbODs747333sPRo0cBAP7+/rhz5w7O\\\n",
       "nDkDhmGMuiBaGkO4a9cuhIaGwsbGBm5ubhg8eDBiY2ON9hk2bBjs7OwQGxuLnj17ws7ODu7u7pgy\\\n",
       "ZQr0en2Bn8G+ffvQpUsX4XtYuXJlfPfdd0bHhoWF4cCBA4iJiRHa7u/vb/Gcw4YNE/bL+/r2228L\\\n",
       "bFNB7dVqtRgzZoywjWEYjB49Gs+fP0d4eHi+x//555/w8PBA7969hW3u7u744IMPsG/fPqPvq5+f\\\n",
       "32tVbPfu3Ys2bdqYhEFLn4O/vz+GDRsmfG34+3P+/HmMHz8e7u7ucHJywqhRo6DRaJCeno4hQ4bA\\\n",
       "2dkZzs7OmDZtGsz9brp9+/bYv3+/2fcIIYSUHHFZN4AQQt6kuLg4NGrUSBiPFRwcjNjYWPz555/I\\\n",
       "zc2FVCoV9h0zZgzc3d0xa9Ys5OTkAAC+/fZbzJ49G+3atcPo0aNx//59rFq1CleuXMGFCxcgkUig\\\n",
       "0WjQsWNHqNVqfPbZZ/D09ERsbCz++ecfpKenw9HREXfu3EHXrl0REhKCOXPmQCaT4dGjR7hw4UK+\\\n",
       "7S/McRzHoXv37jh//jxGjhyJ6tWr49atW1iyZAkePHiAvXv3CvvOnj0b3377LZo1a4Y5c+ZAKpUi\\\n",
       "IiICJ0+eRIcOHfDzzz/js88+g52dHb766isAgIeHh8X2bdq0Cf/73//QsGFDLFiwAAkJCfjll19w\\\n",
       "4cIFXL9+HU5OTsK+er0eHTt2ROPGjfHjjz/i+PHj+Omnn1C5cmWMHj06389h06ZNsLOzw+TJk2Fn\\\n",
       "Z4eTJ09i1qxZyMzMxA8//ADg5Ti4jIwMPH/+HEuWLAEA2NnZWTznqFGj0K5dO6Nthw8fxtatW1Gh\\\n",
       "QgVhW3Jycr5tM7C3t4dMJgMAXL9+HQqFAtWrVzfap1GjRsL7LVq0sHiu69evo379+iZBr1GjRliz\\\n",
       "Zg0ePHiA2rVrF6pd+YmNjcXTp09Rv3791z6X4Wd/9uzZuHTpEtasWQMnJydcvHgRFStWxPz583Hw\\\n",
       "4EH88MMPqFWrFoYMGWJ0fGhoKJYsWYI7d+6gVq1ar90eQgghFvCEEGJFhgwZwrMsy1+5csXkPY7j\\\n",
       "eJ7n+Y0bN/IA+BYtWvA6nU54PzExkZdKpXyHDh14vV4vbF++fDkPgN+wYQPP8zx//fp1HgC/a9cu\\\n",
       "i+1YsmQJD4BPSkoqUvsLc9zmzZt5lmX5c+fOGW1fvXo1D4C/cOECz/M8//DhQ55lWb5Xr15G98Pz\\\n",
       "//dZ8DzP16xZk2/VqpXJdU6dOsUD4E+dOsXzPM9rNBq+QoUKfK1atXilUins988///AA+FmzZgnb\\\n",
       "hg4dygPg58yZY3TOevXq8aGhofl/CDzP5+bmmmwbNWoUb2try6tUKmFbly5d+EqVKhV4PnMePnzI\\\n",
       "Ozo68u3btzf6OQBQqNfGjRuN2hEYGGhyjZycHB4AP3369HzbolAo+OHDh5tsP3DgAA+AP3z4sNnj\\\n",
       "LH3vLDl+/DgPgN+/f7/JewD4b775xmR7pUqV+KFDhwpfG/7+dOzY0ejnqGnTpjzDMPynn34qbNPp\\\n",
       "dLyvr6/ZNl68eJEHwO/cubPQ7SeEEFJ01GWUEGI1OI7D3r170a1bNzRo0MDk/bxd5D755BOjcV3H\\\n",
       "jx+HRqPBxIkTjSo1n3zyCRwcHHDgwAEAgKOjIwDgyJEjyM3NNdsWQ6Vs37594Diu0PdQmON27dqF\\\n",
       "6tWrIzg4GMnJycLLMDnHqVOnALzsGshxHGbNmmVSeSrO2LF///0XiYmJGDNmDORyubC9S5cuCA4O\\\n",
       "Fj6fV3366adGX7ds2RJRUVEFXsvGxkb4c1ZWFpKTk9GyZUvk5uYiMjKyyG3PKycnB7169YKzszO2\\\n",
       "b99u9HNw7NixQr06duwoHKNUKoVq4asMn5NSqcy3Pa97fGGlpKQAAJydnV/7XCNGjDD6OWrcuDF4\\\n",
       "nseIESOEbSKRCA0aNDD7PTe0obAVWUIIIcVDXUYJIVYjKSkJmZmZhe5+FhAQYPS1YU22atWqGW2X\\\n",
       "SqUIDAwU3g8ICMDkyZOxePFibN26FS1btkT37t0xePBgISz2798f69atw8cff4zp06ejbdu26N27\\\n",
       "N/r27Zvv+K/CHPfw4UPcu3cP7u7uZs+RmJgIAHj8+DFYlkWNGjUK9XkUxNLnAwDBwcE4f/680Ta5\\\n",
       "XG7SRmdnZ6SlpRV4rTt37mDmzJk4efIkMjMzjd57dZxmcX3yySd4/PgxLl68CFdXV6P38nYrLQwb\\\n",
       "Gxuz4zdVKpXwfmkeX1R8CYzbq1ixotHXhp99Pz8/k+3mvueGNpTlxDaEEGINKBASQogFr/OQ/dNP\\\n",
       "P2HYsGHYt28fjh49ivHjx2PBggW4dOkSfH19YWNjg7Nnz+LUqVM4cOAADh8+jJ07d6JNmzY4evSo\\\n",
       "xRknC3Mcx3GoXbs2Fi9ebPYceR/Iy0p+s2rmJz09Ha1atYKDgwPmzJmDypUrQy6X49q1a/jiiy+K\\\n",
       "VHE155dffsH27duxZcsW1K1b1+T9+Pj4Qp3H0dFR+Bny8vLCqVOnwPO8UcB58eIFAMDb2zvfc3l5\\\n",
       "eQn7vqqwxxeWIfwWJpQbWAqPlr6/5rabO4ehDW5uboVuCyGEkKKjLqOEEKvh7u4OBwcH3L59u1jH\\\n",
       "Gxbpvn//vtF2jUaD6Ohok0W8a9eujZkzZ+Ls2bM4d+4cYmNjsXr1auF9lmXRtm1bLF68GHfv3sW8\\\n",
       "efNw8uRJoUunJQUdV7lyZaSmpqJt27Zo166dyctQwatcuTI4jsPdu3fzvV5hKzSWPh/DtpJa5Pz0\\\n",
       "6dNISUnBpk2bMGHCBHTt2hXt2rUz282xqNWlc+fOYcqUKZg4cSIGDRpkdh8vL69CvXbu3CkcU7du\\\n",
       "XeTm5uLevXtG54qIiBDez0/dunVx7do1k7AbEREBW1tbVK1atUj3aUlwcDAAIDo62uz7WVlZJtsM\\\n",
       "FeeSZmhD3ol4CCGElCwKhIQQq8GyLHr27In9+/fj33//NXm/oG5y7dq1g1QqxdKlS432Xb9+PTIy\\\n",
       "MtClSxcAQGZmJnQ6ndGxtWvXBsuyQre/1NRUk/MbQoG5roEGhTnugw8+QGxsLNauXWuyr1KpFGZM\\\n",
       "7dmzJ1iWxZw5c0yCxqv3p1AoTJbVMKdBgwaoUKECVq9ebXQPhw4dwr1794TP53UZKkyvtlGj0WDl\\\n",
       "ypUm+yoUikJ3IX3x4gU++OADtGjRQpip1JzijCHs0aMHJBKJURt5nsfq1avh4+ODZs2aGbUjMjIS\\\n",
       "Wq1W2Na3b18kJCRg9+7dwrbk5GTs2rUL3bp1Mzu+sDh8fHzg5+dn9u8HAJMlRg4dOgSVSlUqS0Nc\\\n",
       "vXoVjo6OqFmzZomfmxBCyP+hLqOEEKsyf/58HD16FK1atRKWZHjx4gV27dqF8+fPGy2LkJe7uztm\\\n",
       "zJiB2bNno1OnTujevTvu37+PlStXomHDhhg8eDAA4OTJkxg3bhz69euHqlWrQqfTYfPmzRCJROjT\\\n",
       "pw8AYM6cOTh79iy6dOmCSpUqITExEStXroSvr2++yw8U5riPPvoIf/zxBz799FOcOnUKzZs3h16v\\\n",
       "R2RkJP744w8cOXIEDRo0QJUqVfDVV1/hu+++Q8uWLdG7d2/IZDJcuXIF3t7eWLBgAYCX0/+vWrUK\\\n",
       "c+fORZUqVVChQgVhgppXSSQSLFq0CP/73//QqlUrDBw4UFh2wt/fH5MmTSrut81Is2bN4OzsjKFD\\\n",
       "h2L8+PFgGAabN282G0pCQ0Oxc+dOTJ48GQ0bNoSdnR26detm9rzjx49HUlISpk2bhh07dhi9FxIS\\\n",
       "gpCQEADFG0Po6+uLiRMn4ocffoBWq0XDhg2xd+9enDt3Dlu3bjXqRjljxgz89ttviI6OFtZN7Nu3\\\n",
       "L5o0aYL//e9/uHv3Ltzc3LBy5Uro9XrMnj3b6Fpnz57F2bNnAbwcN5uTk4O5c+cCAN577z289957\\\n",
       "+ba1R48e2LNnj0n3VgC4d+8e3n//fXTv3h1xcXH45Zdf4OjoiIsXL2L79u0YOHBgkT8bS44dO4Zu\\\n",
       "3brRGEJCCCltZTG1KSGElKWYmBh+yJAhvLu7Oy+TyfjAwEB+7NixvFqt5nn+/6bNN7c0Bc+/XGYi\\\n",
       "ODiYl0gkvIeHBz969Gg+LS1NeD8qKoofPnw4X7lyZV4ul/MuLi5869at+ePHjwv7nDhxgu/Rowfv\\\n",
       "7e3NS6VS3tvbmx84cCD/4MGDfNte2OM0Gg2/aNEivmbNmrxMJuOdnZ350NBQfvbs2XxGRobRvhs2\\\n",
       "bODr1asn7NeqVSv+2LFjwvvx8fF8ly5deHt7ex6AsERA3mUnDHbu3Cmcz8XFhR80aBD//Plzo32G\\\n",
       "Dh3KKxQKk/v75ptv+ML803ThwgW+SZMmvI2NDe/t7c1PmzaNP3LkiEl7srOz+Q8//JB3cnLiAeS7\\\n",
       "BEWrVq0sLiFhbrmFotLr9fz8+fP5SpUq8VKplK9Zsya/ZcsWk/0MS3JER0cbbU9NTeVHjBjBu7q6\\\n",
       "8ra2tnyrVq3M/owaPsPi3se1a9d4ACbLlgDgJ0+ezPfr14+3sbHhvby8+OXLl/OrV6/mbW1t+Y8/\\\n",
       "/pjnect/fwztyrtkirmfhXv37vEAjP7OEEIIKR0Mz5dCPw9CCCGElFtt27aFt7c3Nm/eLGxjGAbf\\\n",
       "fPMNvv3221K//sSJE3H27FlcvXqVKoSEEFLKaAwhIYQQQozMnz8fO3fuFJYSeZNSUlKwbt06zJ07\\\n",
       "l8IgIYS8ATSGkBBCCCFGGjduDI1GUybXdnV1RXZ2dplcmxBCrBFVCAkhhBBCCCHESlGFkBBCCCEF\\\n",
       "oikHCCHk3UQVQkIIIYQQQgixUhQICSGEEEIIIcRKUZdRQki5xHEc4uLiYG9vTzMREkKM8DyPrKws\\\n",
       "eHt7g2WL/rvvFStW4Nq1a0U6pn79+hg7dmyRr0UIIWWNAiEhpFyKi4vDunXryroZhJC31OzZs/Hs\\\n",
       "2TP4+voW6bgVK1Zg3LhxRb7ehg0bAIBCISGk3KFASAgpl+zt7QGAqoOEEIsM/58oiqJWBot7LMuy\\\n",
       "JhP1GL4+cOAAunbtanJMjRo1cOfOnWK3jxBCzKExhISQcomCICGkIK/7/wmGYQr1Ko78Zm3dsWOH\\\n",
       "8GdHR0eh2+vdu3eLdS1CCMkPBUJCCCGEkDwKGwaLGwp5nhdeeW3evFl4Lz09HXq9HmLxy05d/v7+\\\n",
       "r3trhBBihLqMEkIIIYTkUdSgx/M8Tp8+jREjRgjbmjdvjuHDh5dIe3Q6HQCgbdu2JXI+QggxoEBI\\\n",
       "CCGEEJJHcSp/UVFRiIqKEr7esGFDiQTCFStWCH9ev379a5+PEEJeRYGQEEIIISSP4gTCwMBAhIWF\\\n",
       "CV83b978tdtx4MABYdbTkqo2EkLIqygQEkIIIYTkUZxAGBYWVqIVvFdnG+3QoQNVBwkhpYImlSGE\\\n",
       "EEIIecu8GgZbtGiBI0eOlHGLCCHvKgqEhBBCCCF5lPYso5MnT4ZcLodcLhe2yeVy+Pv7G4VBuVyO\\\n",
       "7Oxs1KtXD/Xq1TNakoIQQkoCdRklhBBCCMnjddYYLIwlS5aYbFOr1YiJicHIkSOFbSqVCjdu3BC+\\\n",
       "HjhwIAYMGFBq7SKEWB8KhIQQQggheZR2IMxvYXpCCHmTKBASQgghhORR2oGQEELeFhQICSGEEELy\\\n",
       "oEBICLEWNKkMIYQQQgghhFgpqhASQgghhORBFUJCiLWgCiEhpNAWLlwIhmEwceLEfPfbtWsXgoOD\\\n",
       "IZfLUbt2bRw8eNDofZ7nMWvWLHh5ecHGxgbt2rXDw4cPS7HlhBBSNKW97AQhhLwtKBASQgrlypUr\\\n",
       "+PXXXxESEpLvfhcvXsTAgQMxYsQIXL9+HT179kTPnj1x+/ZtYZ/vv/8eS5cuxerVqxEREQGFQoGO\\\n",
       "HTtCpVKV9m0QQkihUCAkhFgLCoSEkAJlZ2dj0KBBWLt2LZydnfPd95dffkGnTp0wdepUVK9eHd99\\\n",
       "9x3q16+P5cuXA3hZHfz5558xc+ZM9OjRAyEhIfj9998RFxeHvXv3voG7IYSQglEgJIRYCwqEhJAC\\\n",
       "jR07Fl26dEG7du0K3Dc8PNxkv44dOyI8PBwAEB0djfj4eKN9HB0d0bhxY2Efc9RqNTIzM41ehBBS\\\n",
       "WigQEkKsBQVCQki+duzYgWvXrmHBggWF2j8+Ph4eHh5G2zw8PBAfHy+8b9hmaR9zFixYAEdHR+Hl\\\n",
       "5+dXlNsghBBCCCFmUCAkhFj07NkzTJgwAVu3boVcLi/TtsyYMQMZGRnC69mzZ2XaHkLIu40qhIQQ\\\n",
       "a0HLThBCLLp69SoSExNRv359YZter8fZs2exfPlyqNVqiEQio2M8PT2RkJBgtC0hIQGenp7C+4Zt\\\n",
       "Xl5eRvvUrVvXYltkMhlkMtnr3hIhhBQKBT1CiLWgCiEhxKK2bdvi1q1buHHjhvBq0KABBg0ahBs3\\\n",
       "bpiEQQBo2rQpTpw4YbTt2LFjaNq0KQAgICAAnp6eRvtkZmYiIiJC2IcQQt4GVB0khFgDqhASQiyy\\\n",
       "t7dHrVq1jLYpFAq4uroK24cMGQIfHx9hjOGECRPQqlUr/PTTT+jSpQt27NiBf//9F2vWrAEAYR3D\\\n",
       "uXPnIigoCAEBAfj666/h7e2Nnj17vtH7I4QQS4oS9igUEkLKMwqEhJDX8vTpU7Ds/3U2aNasGbZt\\\n",
       "24aZM2fiyy+/RFBQEPbu3WsULKdNm4acnByMHDkS6enpaNGiBQ4fPlzm4xQJIcSAAiEhxFpQICSE\\\n",
       "FMnp06fz/RoA+vXrh379+lk8B8MwmDNnDubMmVPCrSOEkJJBgZAQYi1oDCEhhBBCCCGEWCmqEBJC\\\n",
       "CCGE5EEVQkKItaBASAh559HYRELeLSqVqtSvQYGQEGItKBASQt5pcrkcX3zxRVk3gxBSghYtWlTq\\\n",
       "oZACISHEWlAgJIQQQgjJgwIhIcRaUCAkhBBCCMmDAiEhxFrQLKOEEEIIIYQQYqWoQkgIIYQQkgdV\\\n",
       "CAkh1oICISGEEEJIHhQICSHWggIhIYQQQkgeFAgJIdaCAiEhhBBCSB4UCAkh1oICISGEEEJIHhQI\\\n",
       "CSHWgmYZJYQQQgghhBArRRVCQgghhJA8qEJICLEWFAgJIYQQQvKgQEgIsRYUCAkhhBBC8qBASAix\\\n",
       "FhQICSGEEELyoEBICLEWFAgJIYQQQsygoEcIsQY0yyghhBBCCCGEWCmqEBJCCCGE5EFdRgkh1oIC\\\n",
       "ISGEEEJIHhQICSHWggIhIYQQQkgeFAgJIdaCAiEhhBBCSB4UCAkh1oICISGEEEJIHhQICSHWggIh\\\n",
       "IYQQQkgeFAgJIdaClp0ghBBCCCGEECtFFUJCCCGEkDyoQkgIsRYUCAkhhBBC8qBASAixFtRllBBC\\\n",
       "CCEkD0MgLOyrqFiWzfcc6enpJu+7uLiU1O0RQoiAAiEhhBBCSB6lHQh5ns/3fWdnZ+HPcrkcAJCW\\\n",
       "loYVK1YU+VqEEJIfCoSEEEIIIXm8iUBoeOWVnp5utJ9SqcTgwYMBAOPGjSv2PRFCiDkUCAkhhBBC\\\n",
       "3iLBwcEAAJlMJmzbvHlzWTWHEPKOo0llCCGEEELyKM6kMqdPn8aIESOE7c2bN8fw4cOLfO2kpCQA\\\n",
       "QLVq1Yp8LCGEFBUFQkIIIYSQPIoTCKOiohAVFSVs37BhQ7ECISGEvEkUCAkhhBBC8ihOIAwMDERY\\\n",
       "WJiwvXnz5sW6tru7OxISEnD//v1iHU8IIUVBgZAQQgghJI/iBMKwsDCsX7/+ta8dGRkJZ2dnqNVq\\\n",
       "YdurXVEJIaQkUSAkhBBCCMmjtBemnzx5MlauXGm0TS6Xw9PTE0+ePDE6t42NDZRKJQBg+fLlRb4W\\\n",
       "IYTkh2YZJYQQQgh5w5YsWQK1Wm1UBVSr1YiJiQHwcs1BA0MYdHJywtixY99sQwkh7zyqEBJCCCGE\\\n",
       "5FHaFcKCFqZ3cnIqcB9CCCkJFAgJIYQQQswoTtAjhJDyhgIhIYQQQkgepV0hJISQtwUFQkIIIYSQ\\\n",
       "PCgQEkKsBQVCQgghhJA8KBASQqwFBUJCCCGEkDwoEBJCrAUtO0EIIYQQQgghVooqhIQQQggheVCF\\\n",
       "kBBiLSgQEkIIIYTkQYGQEGItKBASQgghhORBgZAQYi0oEBJCCCGE5EGBkBBiLSgQEkIIIYTkQYGQ\\\n",
       "EGItaJZRQgghhBBCCLFSFAgJIeQtZqhSvPr63//+V9bNemN4nkdMTAzef/99KBQKiEQisCxr9nMx\\\n",
       "9woICADP8xbPr9FoMHDgQNjY2BT53CXx8vPzw5IlS7BhwwaEhoZCJBKVynVevS9SOEX9jAkhpLyi\\\n",
       "LqOEEFKOMAyDJk2alHUz3qj09HTcvn0bKpUKHMcV6Vh/f/98H9b1ej2ioqKg1WrB83y+4bE0xMfH\\\n",
       "Y+XKlXBzc0NUVFSR76+w3vR9vQuoyyghxFpQICSEkLeYSCQyCioeHh7o27dvGbfqzWEYBgkJCUhM\\\n",
       "TCxWWBo1alS+7ycmJiIyMhJ6vb64TXwtOp0Ojx8/RnR0dKmFQVI8FAgJIdaCAiEhhLzFJkyYgPT0\\\n",
       "dCQlJaFSpUr4/PPP4erqWtbNeqPkcjl0Op3JdoZhUKFCBXh5eSEmJgY5OTnQaDTC+66urujevbvF\\\n",
       "8/I8j3nz5iErK6vIbRKJRBCLxdBoNK9dfeN5vswCKbGMAiEhxFrQGEJCiEULFixAw4YNYW9vjwoV\\\n",
       "KqBnz564f/9+gcft2rULwcHBkMvlqF27Ng4ePGj0Ps/zmDVrFry8vGBjY4N27drh4cOHpXUb5dqP\\\n",
       "P/6ItWvXYu/evVi6dCn8/f3LuklvXK1atSCXy022t2rVCo8ePcK1a9eQnJyMrKwsXLlyBZ9++ikm\\\n",
       "TZqEmzdvwtbW1uJ5//33X2zcuLHIgU4qleKnn37C7du3sWbNGigUiiLfE3n70RhCQoi1oEBICLHo\\\n",
       "zJkzGDt2LC5duoRjx45Bq9WiQ4cOyMnJsXjMxYsXMXDgQIwYMQLXr19Hz5490bNnT9y+fVvY5/vv\\\n",
       "v8fSpUuxevVqREREQKFQoGPHjlCpVG/itsoVw4QghklBrJGzszMWLVoEiUQC4OVn0qJFCxw9ehR2\\\n",
       "dnbCZySVStGgQQOsWrUKixcvho+Pj9nz8TyPS5cuoWXLlmYrj/lhGAbbtm3D+PHjUaVKFXz88ceI\\\n",
       "jY2Fl5fXa99nSXFycsLcuXPx/fffW101mRBCSNFRl1FCiEWHDx82+nrTpk2oUKECrl69ivfee8/s\\\n",
       "Mb/88gs6deqEqVOnAgC+++47HDt2DMuXL8fq1avB8zx+/vlnzJw5Ez169AAA/P777/Dw8MDevXsx\\\n",
       "YMCA0r0p8sbl5uYiMzMTrq6uQqgrCoZhMGbMGHTt2hWnT59GnTp1ULt2bYhEokKfg+d5cByH5ORk\\\n",
       "jBgxAocOHSrWmL2AgAD06tXLKJw7Ojrixo0bqFSpUpn/UuP999/H3r17hc952LBhCAwMRHZ2dpm2\\\n",
       "qzyiLqOEEGtBFUJCSKFlZGQAAFxcXCzuEx4ejnbt2hlt69ixI8LDwwEA0dHRiI+PN9rH0dERjRs3\\\n",
       "FvYxR61WIzMz0+hF3m48z2PJkiVwdXWFr68vqlevnm91OT8Mw6BSpUoYOnQo6tatW6QwmJKSgtGj\\\n",
       "R6NChQrw9vbGgQMHij2By6JFi8Cypv90VqhQAZ9++mmxzlkSGIbBhAkT8M8//xiFbnd3d3z//fcU\\\n",
       "WIqBuowSQqwFBUJCSKFwHIeJEyeiefPmqFWrlsX94uPj4eHhYbTNw8MD8fHxwvuGbZb2MWfBggVw\\\n",
       "dHQUXn5+fsW9lXeOTqcTlk0orpycHMTHxxtNyvK6Nm7ciM8//xwqlQp6vR6PHz/GokWLSuz8haHX\\\n",
       "69G7d2+sWbMGqamprzWTp0gkMvllx6umT58OsfjNd7wRiURYsWIFlixZYjaYDBkyxGL3WWIZBUJC\\\n",
       "iLWgQEgIKZSxY8fi9u3b2LFjR5lcf8aMGcjIyBBez549K5N2vG04jkNKSgru37+P1NTUIodCrVaL\\\n",
       "3377DZUrV0ZQUBB69OgBpVL52u3Kzc3F6NGjTdpz9OjRfI9LTk7G1atXC92Ggu6X4zjcu3evRNbh\\\n",
       "q1ixIhwcHCy+7+bmViq/qGBZFg4ODqhWrRpCQ0NRtWpVeHp6wtvbG7169cKzZ88wevRoi6HE1tYW\\\n",
       "69evh6ura5Eqq6TwoZAQQsozCoSEkAKNGzcO//zzD06dOgVfX9989/X09ERCQoLRtoSEBHh6egrv\\\n",
       "G7ZZ2sccmUwGBwcHoxd5+cAqFouRk5OD1NTUQi9fwHEcMjIyMGfOHHz66adISEhAdnY2Tpw4gVOn\\\n",
       "Tr12u9avX2+22hgYGGjxmH379sHHxweNGjVCjRo1CgyFjx8/xo8//oi7d+9aDHxisRjNmjUrWuNh\\\n",
       "GgQcHBzw999/m+0uaiASifDTTz/lu09RGCqS0dHRSElJwb1793DlyhVERkYiNjYWz549w+7duwuc\\\n",
       "0IZhGISFheG3335Dr169SqRt1oAqhIQQa0GTyhBCLOJ5Hp999hn27NmD06dPIyAgoMBjmjZtihMn\\\n",
       "TmDixInCtmPHjqFp06YAXk7K4enpiRMnTqBu3boAgMzMTERERGD06NGlcRvvNIZh4OzsjNq1a4Nh\\\n",
       "mEJVgHieR2ZmJi5fvoz9+/dDq9UavVfQunwcxyE9PR08z8PJycnkmhzHYe3atWbbOn36dLPn1Gq1\\\n",
       "GDhwoBAiY2JicObMGXTq1Mns/g8fPkRoaChycnKwcOFCREZGws3NzeTBnGEYbNq0Ce3atcP9+/eh\\\n",
       "UCjQuXNn9OrVCwqFArdv38aBAwfw4MED6HQ6+Pj4oEePHmjfvj3c3NyQnp4OlmVRuXJl2NnZ5fu5\\\n",
       "AED37t0xdepULF++HCqVCjzPC6/8GEIFy7KQSCQIDg7Gli1bUL16dbNho6gBRCqVon379mjQoEGR\\\n",
       "jiOEEPLuo0BICLFo7Nix2LZtG/bt2wd7e3thjJ+joyNsbGwA/N/4pAULFgB4uZB6q1at8NNPP6FL\\\n",
       "ly7YsWMH/v33X6xZswbAywfZiRMnYu7cuQgKCkJAQAC+/vpreHt7o2fPnmVyn+Udy7L5rreXF8Mw\\\n",
       "kMvlqFmzJsaNG4dly5YhOjoaPM+jcePG6Nixo8VjeZ7HqVOnMGrUKGRnZ6Njx45YtGgRPDw8wDAM\\\n",
       "eJ5HWlqaMAHRq9zd3VGjRg2z501JSTGaoZPneTx58sTsvjqdDm3atBGCa2pqKn744Qd8++23Zj8H\\\n",
       "JycnnD9/HiqVCgqFwmjSlbZt22LChAnCNV+30iMSiTB//nxMmzYNjx8/xrVr17Br1y6Eh4dDqVQa\\\n",
       "BUND5bFDhw4YNWoUqlatCplMBrlcDltb2xIfjyiVSuHm5lai53yX0SyjhBBrQYGQEGLRqlWrAABh\\\n",
       "YWFG2zdu3Ihhw4YBAJ4+fWrURa5Zs2bYtm0bZs6ciS+//BJBQUHYu3ev0UQ006ZNQ05ODkaOHIn0\\\n",
       "9HS0aNEChw8fNrv4OCkdcrkcPj4+GD58OIYMGYKcnBxwHAd7e3tIpVKLx2VnZ2Po0KGIjY0FAGze\\\n",
       "vBl//vknunXrhvHjx8PT0xNRUVHw8PBAbGys0IWVYRh89NFHFiuYMpkMLMsK+7Msi4YNG5rd98yZ\\\n",
       "M8L1DdatW4emTZta7BIpl8sL/PkqqYd6lmXh4uICFxcXhIaGon///liyZAlWrFiBjIwM8DwPGxsb\\\n",
       "DBw4EAsXLoSzs/MbCxQl1Z3VGlAgJIRYCwqEhBCLCjMRx+nTp0229evXD/369bN4DMMwmDNnDubM\\\n",
       "mfM6zSMlwLCge34h8FXh4eF48eKF8DXP88jNzcXOnTuxe/du+Pv747333kO1atUQFxeH+Ph4cBwH\\\n",
       "kUiEhIQE6PV6s5UvR0dHtGzZEmfPngXP86hduzZq165ttg0TJ040+dlMT0/H2LFj0aVLl0Lfy5vA\\\n",
       "siwcHR0xYcIEsCyLP/74AzqdDh999BE+//xzodL+Jr0L4WXSpEmlPo6YAiEhxFpQICSEEFIoHMdh\\\n",
       "yZIlFpdu0Gq1ePToETIyMlC/fn24uLggKSkJer0eOp0OO3fuhFgsxooVK0y6drIsiyNHjmD//v3I\\\n",
       "zs5Gnz59zAY7juMQExNjsp3nebx48QLt2rXDzp074erqKuwvkUjKdHZNwzjPsWPHIjg4GEqlEp07\\\n",
       "dy4wDBrGHpZkVa+wkw4RCoSEEOtBgZAQQkihpKSk4MyZM/nuw/M8kpOTcenSJWi1WqMJa7RaLTZt\\\n",
       "2oRdu3bh4sWLCAkJMTpWKpWiT58++Z7fEK4sTXxz7tw5VKxYEVKpFBKJBB4eHvjpp5/w/vvvl2l3\\\n",
       "SYZh4Orqiu7du0Oj0UChUOS7P8dxuHLlCrZs2YIGDRqgf//+JdKlOiUl5bXPYS0oEBJCrAUFQkII\\\n",
       "IQUyzAJamPUBDUtaAOa7Hefk5KBVq1ZISEgocvdOhmGwe/duNGvWzOyyFsDLSWd0Oh0AICMjA1Om\\\n",
       "TEGHDh3KvCspwzCwsbGBXC4vMEA8e/YMHTt2RGZmJliWxW+//YYjR44YTYhTVDzP486dO8U+3tpQ\\\n",
       "ICSEWAsaXU4IISRfHMdh7ty5OHnyZKGPKWiphZycHIuBriChoaFISEjA5MmT4erqWmDlLyUl5bUe\\\n",
       "2DUaDe7du4c7d+4Uu82vKkxblixZIkxAo9frcebMGfz1118W9y/s0hZOTk5FbS4hhJB3HAVCQggh\\\n",
       "+Xr8+DEWLVpUqEmGCqtmzZpFWiojLycnJ/z0009ITEzEvXv3ULFiRYvLNOT3XkFSU1MREhKC2rVr\\\n",
       "o06dOqhTp06B6zSWhCtXrhh9zXEcJk2aZLZCm5qaiiVLlmDevHlITEzM97yWJuohpmhhekKItaBA\\\n",
       "SAghJF8HDx4sUmXM0DVSJpOZXSg+JCQEFy9eLJExfSzLomrVqnj06BGuXbtmMjaPZVksXLiw2A/s\\\n",
       "3377LR48eAC9Xg+9Xo/IyEj079+/wOpnSkrKa03g8uoyLQYJCQmYMGGCsOC9VqvFrl27ULlyZUyd\\\n",
       "OhXffvstOnfunG+33tfpcmptKBASQqwFBUJCCCH5qlatWqHDm0gkQseOHXHixAlcu3YNW7duxQcf\\\n",
       "fICWLVti3LhxePDgAW7cuFHiyy1IJBLUrl0bT58+RdOmTSGTyWBra4uxY8eiTZs2xT5vZGSkSfg7\\\n",
       "evSo2bF4HMdh+/btCAwMRGBgID777DOLodCwXEd2drbZWVtnzpxpEt54nsf69etRvXp1dO7cGQEB\\\n",
       "ARgwYADS09PBcRz0ej3u3LmDqKioYt8v+T8UCAkh1oImlSGEEJKvtm3bolu3bti/f3++VS+FQoFf\\\n",
       "fvkFQ4YMEcJMjRo1MHDgwDfVVLi4uOD8+fPC+DsnJ6fXqkR27doVx48fNwqFer0eHTp0wK1bt+Di\\\n",
       "4gKGYZCbm4uhQ4di9+7dQsBbvXo1GjRogOHDh5uc98aNG+jbty9SUlJQp04d7Ny5E56ensL7vr6+\\\n",
       "WLJkCcaPH28UGDmOw5MnT/DkyROz7WVZttjdY4kxmlSGEGItqEJICCFWqrBjAiUSCf7880/cvn0b\\\n",
       "48ePR7Vq1WBvbw+JRAKxWAyFQoFOnTohMjISw4cPL/NuiSzLwtnZGS4uLq/dLfWjjz4yOxHLixcv\\\n",
       "ULVqVUyaNAmTJk1CpUqV8OeffxqFN57nMW3aNJMQrVar0bZtW0RFRSEjIwNnz55F8+bNoVarhX0Y\\\n",
       "hsGYMWPwxRdfFDpsiEQi9OzZEwEBAcW7WWKEKoSEEGtBv0YkhBArlJqaivj4eFStWrVQFSWRSITg\\\n",
       "4GD88ssv4DgOubm5ePTokXCO15m45W3m6OiI3377DQMHDkROTo7Re6mpqfjll1/yPT4jIwMZGRlw\\\n",
       "cXERtt25cwfp6elG+z19+hSpqanw8vIStjEMg7lz5+L+/fvYvXu3xWuwLAtPT08sWrQI/fr1K3B5\\\n",
       "jZKcHKisLFq0CCqVqqybQQgh7wSqEBJCiBW6evUqtm/fLqwXWBQsy8LOzg5169ZFx44dERgY+E6G\\\n",
       "QeBlKOvYsSP27t0LZ2fnIh/P8zySkpKMtuUNg8DLwG1usXqWZbF161aj7qSvcnV1xe7duxEdHY3B\\\n",
       "gwdDJpMVuY3EPKoQEkKsBQVCQgixQsHBwWjbti3s7Oxe6zxFfRDmeR45OTmIi4tDRkbGa83EWRp4\\\n",
       "nkd6ejru3buH6OhoaLVaiMVivPfee1i5cmWRg69cLje5x7p16xotucEwDPr37w97e3uL5zhx4oRR\\\n",
       "YBSLxRg4cCBiYmLQo0ePAquCpOgoEBJCrAUFQkIIsUK+vr5477333mhFSavVolevXnB2doafnx/c\\\n",
       "3NxQpUoVbNmyBZmZmdDpdNDr9cJ/S6pro2Fx94LOx3EcVq1ahYoVK6J27dqoXr06tm/fDq1WC5FI\\\n",
       "hPfee69QAZphGEgkEjg4OKBJkyawtbU1urazszMOHjyIoKAgeHp6Yvr06Vi3bl2+oaJ69eq4cOEC\\\n",
       "PvjgAwwZMgQ3b97Eli1bzFYVScmgQEgIsRbvZh8fQggh+Sqph1ie5wt1Hp7n0adPH+zfv1/YZpgx\\\n",
       "c8iQIXByckKdOnXg5eUFlUoFrVYLX19fdOnSBc2aNYOjoyNEIpHR+QzXzu/6er0eO3fuxJYtW9Cl\\\n",
       "SxeMHDnS4qQ39+7dw8SJE6HVaoVjJ0yYgCZNmiAwMLDAGTxZlkWbNm0wZ84ceHh4ICcnBzqdDnZ2\\\n",
       "dkafE8MwaNmypbB0RWEm4WEYBnXq1MH27dspgLwhNMsoIcRaUCAkhBBSZHq9HpcvX0ZiYiI6dOhQ\\\n",
       "4LqCd+/exT///GP2PZ7nkZaWhtOnTwsP1oaK2q+//gqWZaFQKFCpUiX4+fkhNzcXz58/R25uLipV\\\n",
       "qoTly5ejXr16Zh/KlyxZgunTp0Ov1+Pw4cP49ddfcfnyZcjlcpM2fPzxx0IYNMjOzsZ///2HihUr\\\n",
       "Qq1WW+ziyjAMvvjiC8ydO1eY2dSweLwh4EqlUqNQWJzZWF931lRSeBQICSHWgv5lIYQQUiS5ubkY\\\n",
       "NGgQWrdujQEDBmDBggX5dsdUq9Vo2bJlobqAGip/r36t1+uRmZmJW7du4eDBgzh9+jQePXqEuLg4\\\n",
       "hIeHo2HDhpg/f77JBDkJCQn46quvhBDH8zxu3bqFWrVqQaPRmOx7/fp1k/bY2Nigbt26kEgkkMvl\\\n",
       "RlXKV3l5eWH27NlGgc0Q+sRiMdLS0pCbm2t2EXpCCCGkLFEgJIQQYpZOp4NKpYJarYZWq4VSqcT1\\\n",
       "69cRGhqKP/74A2q1GiqVClu2bLFYOVOr1ahVqxbS0tJKrZ0cx+Gbb75BixYthLX89Ho9xo0bZxL8\\\n",
       "AODx48do1KgRsrOzwfM8NBoNFixYYFIdZBgGu3btQuXKlSEWi+Hk5AQ3NzeT87Esi23btpmt+DEM\\\n",
       "A5Zlce3aNSxbtgwHDx5ESkpKgZPp5A3G5M2jMYSEEGtBXUYJIYQYUavVuHLlCs6ePQuVSgUXFxeo\\\n",
       "VCocO3YM4eHhUCqVJseYeyBWq9WoVq0aYmJiSr3Ner0e9+7dw5YtW9CnTx/cvHnTYhdVALh58yaC\\\n",
       "g4MxZswYpKenY8eOHQD+L8D5+Phg/fr1aNeunXCMVCpF3759MW/ePKOw1rp1a7Ro0cLitUQiEU6e\\\n",
       "PIk1a9ZArVZDoVCgV69eWLRoEVxdXY0+O47jkJqaips3b8LHxwdBQUEWq5JFxfM8srOzLc5mSkyV\\\n",
       "VtC7ceMG6tWrZ7I9LS0NTk5OpXJNQgixhAIhIYS843ieR1ZWFpKSkiCXy+Hi4gK5XG7ysKvRaLBv\\\n",
       "3z5MmzYNL168AM/zkEqlkMlkUCqVUCqVZqtWDRo0MBtaFixY8EbCoAHHcVi+fDliY2Oxbdu2Ahcu\\\n",
       "j42NxaxZsyASicDzPCQSCfz8/PDrr7+iVatWJvfEMAymTp2Kffv2ITIyEizLomvXrtiyZUu+oU0k\\\n",
       "EiE2NtaoIrlx40acPHkSR44cQZUqVcAwDHieR0pKClavXo2TJ0+ic+fOmDBhQokEQq1Wi7Fjx2Lr\\\n",
       "1q3Iycl57fNZg9IcQ/hqGPT29kZcXByAlzPQUmWYEPKmUSAkhJB3GM/zePz4MaZPn45Lly4JFaoO\\\n",
       "HTqgdevW8PPzQ2pqKv7880/8/fffyMzMNHogNXQbzW/Zhl69epm97rlz50rtvsxhGAbPnz/HqlWr\\\n",
       "TBaDt0Sv10Ov14NhGLi7u+PPP/9EnTp1LO7v4OCAiIgIJCYmwsHBAU5OTgWGAZZlUbNmTZOxkTEx\\\n",
       "MZg4cSJ+//13ODk5Qa/XIz09HWq1Gt7e3mjYsGGxJp4xZ8aMGVi3bh2FjSJ4E5PKvPr9oG6nhJCy\\\n",
       "QoGQEELeYdnZ2Zg/fz6OHDmC3Nxc8DyP5ORkrF27FuvWrQOAAkNCQQ+qlSpVMnvMlClTcPr06WJN\\\n",
       "pGJra4sePXrAwcEBO3bsMJkwJi/D5C0qlQpKpbLIC97zPA8/Pz/UqFGjwH1tbGzM3nN+hgwZgtmz\\\n",
       "Z0On0xldMyoqShj3KBaL4ePjg48//hjAy8pRQbOKchwHnufzrSKqVCosW7aMwmARFScQnj59GiNG\\\n",
       "jBC2N2/eHMOHD7d4nLOzM9LS0gqcpZcQQkoTBUJCCHmL3bt3D3Z2dnB3dzdZKqEgPM/j4cOHiIiI\\\n",
       "gEajMTuDZ0Hs7e1RsWJFPHz40GIXzNTUVLPbO3XqhBUrVuCLL76AUqmEjY0NqlWrhmrVquHhw4e4\\\n",
       "ceOGEIYMDGv0HTp0CLa2tgCARYsWISAgwOzENIbKXsWKFaFSqRAVFVXkMGjQpEmTEqvI5eXn54d2\\\n",
       "7drh8OHDwjaGYVC/fn24uroK6xva2toKYbOgMKLT6XDz5k1kZWWhcePGFkPFw4cPzU6uQ/JXnEAY\\\n",
       "FRWFqKgoYfuGDRvMBsLo6GgEBAQgPT3d6BoU2gkhZYFmGSWEkLdYgwYNEBISgs6dOyM6OrrIxzMM\\\n",
       "AwcHB6M18ApLJpNh27ZtOHHiBBYuXGixWnX+/HmL1/7000+RnJyM9PR0JCcnIyIiAps3b0Z4eDji\\\n",
       "4+MxZswYODg4QCKRwM3NDTt37sSpU6eEMAgAjo6O2Llzp9nzd+/eHWfOnMHGjRsxZcqUfBeOl8lk\\\n",
       "cHBwMLuPVCrFZ599VtBHUmwMw2Dv3r1o2LAhRCIRWJZFpUqVsGjRIpOgX9ggEh8fjwkTJuDjjz/G\\\n",
       "77//bjEI379/v0TugRQsMDAQw4cPF17r1683u19AQIDw51eDPHUbJYSUBaoQEkLIWyw3NxdKpRLn\\\n",
       "z5/HtGnTLC5vYA7DMAgJCcG2bduwa9cu7NmzBw8fPkR2drZQMbTExsYGT58+FZZZmDBhAurUqYM2\\\n",
       "bdqYHLdnzx4sXLjQ4rkkEolJmxmGgZOTE1asWIEVK1YUeC/t27fHp59+ijVr1oDneTg6OuLOnTvw\\\n",
       "9vYW9qlevToiIiKwevVqk7FZnTp1wo4dO2BnZwcAyMrKwvHjx3Hu3DnUr18fffv2NQqhr9Lr9di+\\\n",
       "fTt++OEH2NnZYf78+WjZsmWRF4mXyWS4fPky9Ho9OI6DWCx+rQAQFxeHW7duITs7G59//jlcXV3R\\\n",
       "p08fk3OGhIQIk9aQwitOhTAsLMxiCDSHxhASQt4GFAgJIeQtxrIsWJaFvb092rdvX+QZJ0UiESpV\\\n",
       "qoSRI0eiUaNGOH/+PDIyMiAWixETE4Pw8HDExcVBq9WC53kwDAOFQoFz586ZrLn33nvvoWbNmrh9\\\n",
       "+7bR9rS0NOHY0rR8+XJ0794d8fHx+OCDD6BQKEzudd68eTh27BgeP34MnufBsizq1q2LrVu3wsHB\\\n",
       "QdjX0dERffr0QZ8+fQq87qNHjzBu3Dhhwp327dtj7Nix+PHHH4s1A6hIJCqRmUMDAgKgUCiQnZ0N\\\n",
       "lUqFRYsWoUuXLiZdRwMDA+Hq6ork5OTXvqY1eROTyhBCyNuAAiEhhLzFateuDVdXV3z44YcYOHBg\\\n",
       "katSwMtQqVAoEBAQAJ1OBw8PDwQHBwtdJ3U6HZKTk/HgwQNIpVKEhISYhC3DeU6ePAkfHx+jRdzf\\\n",
       "1MOwSCRC586d893H2dkZV65cwebNm3H79m20b98e77//vsXqX2FcuHBBWDICeLmEw7Jly9CqVSv0\\\n",
       "7Nmz2Od9Xa6urujduzfWrFkDvV6PBw8e4NKlS2jdurXRfmKxGLdu3UKLFi3w5MmTsmlsOfQmAiHD\\\n",
       "MEbLThBCSFmgQEgIIW+xY8eOQSaTQaFQvFZVSavV4tSpUzhx4gTat2+PWrVqCQ+xEokEXl5e8PLy\\\n",
       "KvA87u7u+OGHHzBp0iQhIFWtWvWtqpA4OTnhs88+K7GqpYuLi8l59Ho9vvvuO3Tr1q3EFo4vKpZl\\\n",
       "MXPmTBw5cgRPnjyBSqXCkiVL0KxZM8hkMqN9PT098eDBA+Tm5pZJW8uj0gyEo0ePxqpVqwDAKAxu\\\n",
       "3769SOchhJCSQJPKEELIW8zd3R0ODg6vFTo4jsP+/fsxceJEbN++HZ999plRha+oxo4di/r164Nl\\\n",
       "WchksnzHD5alkgqpTZs2haenp8n2nJycMh+XV6FCBcyYMQMKhQI8zyM8PBynTp0y2y6WZYUxlKRg\\\n",
       "hkBY2FdRrFy5Upj199XXgAEDSuluCCHEMgqEhBDyjtPr9dixYweysrKg1+uRlZVV6IXbzRGJRPj4\\\n",
       "44/h5OSEypUro2bNmiXY2rePo6MjGjRoYBTKGYaBq6trmVdGWZZFaGgo7O3tAbychGjfvn1G6x0S\\\n",
       "Qggh+aFASAgh5RjHcVCr1fnOGpqTk4Pjx48LC8TzPI9+/foVu7rFMAx69+6NRYsWYe/evXBycipu\\\n",
       "88sFuVyOVatWoVWrVpDL5RCJRFAoFBgzZkyxxnSWtMDAQFSrVg3Ay0XoN2/ejO3bt5d59bK8K80K\\\n",
       "ISGEvE3K/l8yQgghxXLt2jWEhobCz88PdevWxZo1a8wuHi8SiUy6iF69erXYi5XrdDrExcWhatWq\\\n",
       "wiLqZUWn0+H58+eIjo4WZjstqsIc4+HhgT///BM//vgjevbsiRkzZqBr165vJAjwPA+9Xg+dTieE\\\n",
       "+leJxWK4ubmB53lwHIecnByMHTvWaIF0UnQUCAkh1oImlSGEkHLoypUraNGihRDqkpKSMH78eGRk\\\n",
       "ZGDKlClGlSuFQoGKFSvi4cOHwja9Xg+NRmMy+UhBnj17hk8++QS3bt1CWFgYGjduXDI3VEQcxyEr\\\n",
       "Kwu///47NmzYAI7jUK1aNaxYsQLu7u6FPkdsbCxiY2NRuXJluLm5WXywZxgGzs7OGDVqFD766CNh\\\n",
       "eY43ged5ZGVl4fHjx9BoNMIyEoYurGq1GmlpaUZhMTs7Gz169MDNmzfLbNKb8o6WnSCEWAuqEBJC\\\n",
       "SDmj1+sxbNgwkwqfRqPBunXrTKqBLMvin3/+EZaZAF4uWVCUpRh4nsfcuXMREBCAI0eOIC4uDn/+\\\n",
       "+SdiY2Nf72YKQavVIiUlBU+fPkVsbCwSEhLw/PlzRERE4Nq1a1CpVFCr1UhNTUViYmKhKn48z+O/\\\n",
       "//7D0KFDMWjQIIwdOxbx8fEFHicWi+Hg4AA7O7t8u4uamzDE8CqOjIwM7Nu3D/Pnz8e3336Lixcv\\\n",
       "Ij09HTk5OXj06BHu3btnUj28d++eyZqRpPCoQkgIsRZUISSEkHJGrVYjPT3d7Hsikcjsw2nVqlVx\\\n",
       "4cIFdO/eHTk5OTh//nyRKkfXr1/HN998YxQ6NBoNtmzZglmzZhX5HgqD53lkZmZix44d2LZtG9LT\\\n",
       "01GxYkV06tQJzZo1Q7Vq1TBr1ixkZWVBo9HAxsYGfn5+hTp3YmKiUOnU6/VITk7Grl27MG7cuEKN\\\n",
       "CzR8xjzPQ6fTISkpCSdOnEB4eDhEIhFCQ0PRsGFDeHh4QCaTgWEYcBwHhmEglUohlUqLVH3ieR6x\\\n",
       "sbG4desW/v33X1y+fBmdO3eGv78//v77b7NhluM4jBw5EuHh4W/FWMfyhiqEhBBrQYGQEELKGZFI\\\n",
       "hMGDB2Pp0qVQq9VC1Ukul2PWrFmQSqVmj2vUqBFiY2Oh1+st7mPJjz/+aHb82qVLl4p+A4XEcRzS\\\n",
       "0tIQHh6Ox48fQ6vVwsHBAZUrV0ZwcDDkcrnRg7ihAsdxHFiWtfiQrtfrMXnyZFy/fh16vR7Ayy6W\\\n",
       "//zzD0aPHl2k8MRxHC5evIgBAwYgISFB+F6IRCL4+Pjgww8/RJs2beDg4IDc3Fzk5ubC1dUV1apV\\\n",
       "g6OjY6GvxbIsMjIykJqaCqVSieTkZERGRkIikSA3N9fiMiLXr1/Hf//9hzp16lBoIYQQYhYFQkII\\\n",
       "eYu92sXQ8EAvlUoxZ84cjBgxAnv27MH58+dha2uLMWPGoEWLFvmeTyQSFWtMmaOjo9nt/v7+RT6X\\\n",
       "OYb7fDW0iEQieHt7Y9KkSQgMDIRGo0G3bt1Qr149s4HWcGxWVhaioqLg5eUFDw8PkyCUkJCAffv2\\\n",
       "CWEQeBnsHjx4AL1eD4lEUuh2MwyDf/75xygMAi9D5/Pnz7FlyxY8f/4c7u7ueP78OZ49ewaRSISw\\\n",
       "sDD873//g5+fn1FXXgAmIVGv1yMhIQGRkZHIzc0V2l2YpSW0Wi3GjBmDXbt2wcPDw2IFmZiiCiEh\\\n",
       "xFpQICSEkLfYsmXL4OTkhJCQEFSrVk2oislkMlStWhVffPEFpk2bBqB0H0qnT5+OtWvXGoUolmUx\\\n",
       "efLkEjm/pbZLpVKEhISgVq1a4Hm+wEDD8zzWr1+Pb7/9FgDwzTffYPLkyUbHREZGQqlUmhxbnFlK\\\n",
       "WZZFxYoVzb7HcRySkpJw+vRpAEB6erowC+zNmzdx7tw59O/fHxUqVMCdO3fw33//gWVZhIWFoVOn\\\n",
       "TvDw8ADLskhKSsLatWvx6NEjo8+/sK5du4Yvv/wSEydOhL+/P1xcXIp8jrfNpEmT4ODgUKrXoEBI\\\n",
       "CLEWFAgJIeQtNnXqVIjFYtSpUwc7duwwGz7exMNoxYoVsW7dOowePRpqtRpisRjffPMNKleuXOrX\\\n",
       "Zhim0FVNrVaL+fPnIysrCwDwxRdfoHv37ggKChL2USqVZoOfVqst1mfZp08fTJkyxewyHlqtFgkJ\\\n",
       "CdDr9SazgF68eBE3btwAx3FQKpVC2Pvrr79ga2uLBg0aoFWrVnj8+DH2798PtVpd5LYBL8d67t27\\\n",
       "FxkZGRg0aFCxzmGNKBASQqwFBUJCyrno6GicO3cOMTExyM3Nhbu7O+rVq4emTZtCLpeXdfPIa9Jq\\\n",
       "tdDr9UhJSSnT7yfDMBg2bBj69OmDuLg4eHh4wNHR8a17EM7IyDCacEev12PmzJnYuXOnsM3SchFS\\\n",
       "qbRI3UUNPD090bFjR+zfv9/kPY7jzI69BF52+czMzDTZzvM8cnJycO7cOWGcY25ubpHb9er5srKy\\\n",
       "cOzYMcTExBT7PNbobfv5JoSQ0kCBkJByauvWrfjll1/w77//wsPDA97e3rCxsUFqaioeP34MuVyO\\\n",
       "QYMG4YsvvijzxcNJ8fn5+SEwMBDLli0r9Pp6hcHzfLEedu3t7VGtWrUSa0dJUyqVJgHswoULwkQz\\\n",
       "ABAXF2e2Qjh69Ohija9kWRY7d+5EUFBQiS7DYVhrEUCxl6sw4Hkeubm5uHHjRgm0zDpQhZAQYi0o\\\n",
       "EBJSDhkm1Rg2bBj++usvk6n21Wo1wsPDsWPHDjRo0AArV65Ev379yqi15HWcO3cOjo6OcHBwKJGH\\\n",
       "zoyMDCxcuBAPHz7EqFGj0LJly3eqkiyTyUy26XQ66PV6sCwLjuOwb98+k30YhsG4cePMnrMw4Vki\\\n",
       "kcDHx+eNrMtICCGElCQKhISUQwsXLkTHjh0tvi+TyRAWFoawsDDMmzcPT548eXONIyXK0oQleXEc\\\n",
       "B61WC7FYbLHKFRsbi1q1agldKvfu3YuQkBCsXbsWISEhxeouWR7o9XqoVCqIxWLk5OTgxIkTJvvI\\\n",
       "5XJ4eHiYbL969SquXbuGzp07w8fHx2IwTExMRGRkZIm33RBiLWEYBizLFmuyGZI/qhASQqwFrVRL\\\n",
       "SDmUXxjMy9XVFaGhoaXYGvI24HkearXa4lIEPM9j48aNyMjIELbp9XrcvXsXy5cvR3x8/DsRKszd\\\n",
       "v16vF7qSJiQkIDs722QfW1tbk+UeOI7DF198gdmzZ2P+/PnCDKF58TyPPXv2ICcnp2Ru4v8zTKaT\\\n",
       "X9hwcXGBv7+/ydIV5PUZAmFhX4QQUl7RvyCEvCMSExORmJhoUk0ICQkpoxaRN4lhGIjFYosPpunp\\\n",
       "6Vi4cKHJWDS1Wo1du3ZBLBZj2rRp8Pf3f+OVQr1ej9TUVMjlctjZ2RW4rER+70dFRZnco0ajQXR0\\\n",
       "NEQiETZu3Gh2NtCgoCCTQHjp0iWcPHkSPM9j9erVuHDhAk6dOmW0bENubi7GjBmDzZs351vJKw6F\\\n",
       "QgEvLy88f/7c7DIZHTp0wM6dOyGTybBlyxZ8+umnJd4Ga0YVQkKItaBASEg5d/XqVQwdOhT37t0z\\\n",
       "Wtzb8OD8LlR9SMFYloWtra3F9+/du2c2CAEvQ1ZSUhKePXsGd3d3ODg4mISj0sLzPP7++2988cUX\\\n",
       "sLe3x4YNGxASEmLygB0bG4vvvvsO9+/fR7t27TBq1Ci4uroa7cfzPDZt2mRyDY7j8OjRI8hkMpw/\\\n",
       "f97sBC1hYWEmxwwbNkzYl+d5/Pfff6hYsSK6deuGunXr4vTp0zh9+rTFymF+DF09OY4z2x43NzfM\\\n",
       "mzcPVatWxZIlS3DgwAGjv8t16tTB/v37IZVKAQAjRozAsWPHsGvXLpNzicVioVuppesRUxQICSHW\\\n",
       "ggIhIeXc8OHDUbVqVaxfvx4eHh70YEJM8DwPW1tbODk5ITk52egXB46Ojujduzc+/vhjBAYGQiQS\\\n",
       "Qa/Xv7FucFFRURgyZIjQjTMsLAyHDh1Co0aNhMB09uxZdO/eXZhx8/Tp05g3bx5GjhyJr7/+Go6O\\\n",
       "jlCr1Xj27Bl2795tcg2JRAInJyfI5XK4uLgIvzAxYBgGrVq1MjomNzfX7BINOTk52LFjB3bs2FHs\\\n",
       "e1YoFJg7dy6aN2+OU6dOYfHixUhKSgLP8xCJRGjcuDH++OMPeHp6AnhZ5R85cqQQCoODg3HmzBkh\\\n",
       "DAIvfyHw22+/4erVq4iOjgYA2NnZ4eOPP8Ynn3wCFxcX5OTkICYmBm3atCl2260JBUJCiLWgQEhI\\\n",
       "ORcVFYW//voLVapUKeumkLcUwzAICAjA9OnTsW3bNqSlpaFRo0YYNmwYGjduDDs7O4hEIvA8D47j\\\n",
       "hHF4+XVBBV52xTx27BhOnDgBf39/9OjRAz4+PoUez6bX643CIPCya2ufPn2wdOlSVK9eHQcPHsQ3\\\n",
       "33xjsg6fUqnE0qVLsX37djRv3hzJycl4/Pix2XX9atWqhSZNmkChUGDixIk4efKk0X5SqdRo4XrD\\\n",
       "vZVG90uGYbBq1SoMHjwYDMOgYcOGmDx5MmJjY/HkyRMEBgbC29vbaGIgFxcXbNu2DZGRkcjJyUHd\\\n",
       "unVhY2Njcm4bGxuEh4fj559/ho2NDT755BOTXxIFBga+ExXCRYsWFasyWxQUCAkh1oICISHlXNu2\\\n",
       "bXHz5k0KhCRfCoUCw4YNQ79+/aBQKODk5GTSLdTwAKxUKhEbGwtXV1eLi8/n5OSgXr16ePTokdA9\\\n",
       "edq0aXjvvfcwe/ZsVK5cGcDL4CYWi+Hm5ma0JATP84iIiMCVK1dMzp2YmIjx48dDJBIhPj4eWq3W\\\n",
       "7D3xPI/ExETs3btX+DovmUyGNWvWCJXB5s2bY86cOZg+fTrUajUYhoG3tzecnJyMjrO1tYWdnZ3R\\\n",
       "IvclQSwWo3v37kafqVgsRqVKlfJdL1QqlRZqPHCFChXw3XffgWVZCimEEEIKhQIhIeXcunXrMHTo\\\n",
       "UNy+fRu1atUymRCke/fuZdQy8jZhWRYKhQJ2dnbCmDJL4uLiMG/ePMjlcsycOdNk6Que5/H+++/j\\\n",
       "4cOHRtvUajWOHz+O8PBw2NvbIzc3V5gMxdHRESNGjMDYsWPh6OiIBw8eoH///mbDnmFMo2HMW0Es\\\n",
       "VbwYhsHkyZNRo0YNIRyJxWKMHj0aL168wIYNG8DzPDp06GCyFqNMJsPXX3+Nzz//vMDrv3q9/MYF\\\n",
       "AoBIJDJb3StJlpYdIUVDFUJCiLWgQEhIORceHo4LFy7g0KFDJu/RpDLEQKfT4cWLF9Dr9fDx8bG4\\\n",
       "GL1Wq0X//v3x33//AQC2bduGffv2oU2bNsJD7+7du3H27Fmzx/M8j+zsbJOlHZKSkrBw4UIsXLgQ\\\n",
       "LMuC53mzockQVrVa7Wt1bWQYBgsWLMC0adNMHtalUim+++47DBw4EDExMahdu7bJgvYMw2DixIlQ\\\n",
       "qVRYtmwZkpOTLS7pIZFIsHjxYowcORJisRhpaWmoXbs2Xrx4YbKvq6srLRFRTlAgJIRYC1qHkJBy\\\n",
       "7rPPPsPgwYPx4sULcBxn9KIwSAySkpIwZ84c/O9//8Pq1asthq34+HjcuXNHCGw5OTkYMWIE0tPT\\\n",
       "wfM8dDodNm/e/FptsVRBK8y6e4UVFBSEyZMnWzyXWCxG1apV0bJlS3h5eZmtqjEMg5EjR+Lnn39G\\\n",
       "WFiY2SUxHBwccOXKFYwbNw5SqRQsy8LV1RUnTpwwW4X99NNP39gMruT10DqEhBBrQf8qEVLOpaSk\\\n",
       "YNKkSfDw8CjrppC3FMdx+PXXX7Ft2zZcuHAB06dPR1JSktl9jx8/blIJe/78OS5dugS9Xi8s8l4a\\\n",
       "DIFTr9cXWB3M7yFcKpXi2LFj+a6nyDAMpFIp7OzszO7H87zwC5WaNWti+PDhaN++PVxdXSGVSiGT\\\n",
       "ydCgQQNERkaiTp06JscHBwejcePGRtucnJwwefLkfO/rdbwLk8W8TSgQEkKsBfVbIaSc6927N06d\\\n",
       "OiVM4kFIXrm5uVi5ciXUajWAl4vRjxw5Env27DF5kL1w4YLJ8RzHIS0tDQzDQCwWo3nz5jh69Gip\\\n",
       "tFWv1xeqgmZjYwNHR0dkZmZCqVQKYw3FYjEWLVpkMu7RHENF0jC7ql6vh1qtRlpaGmJiYhATEwOl\\\n",
       "UgkHBwfY2Niga9euqFKlCpRKJdq0aYNOnTpZHA/IMAyOHTuGJk2a4OHDh3Bzc8PZs2fzXSvydeUX\\\n",
       "Snieh1KpREZGBry8vEqtDe8S6jJKCLEWFAgJKeeqVq2KGTNm4Pz586hdu7ZJtWP8+PFl1DLytrh6\\\n",
       "9SrS0tKMth0+fBi5ublQKBRG21NTU02OF4lEaNSokdCtsm/fvpg9e3axlmUwTLySX3dmw6yllipe\\\n",
       "LMsiMDAQo0aNgkgkwqlTp3D//n1IpVKMHz8eH374YYHteHXBeb1ej9TUVBw5cgSrV69GZGQklEol\\\n",
       "eJ6HnZ0dgoKC0LZtWzRu3BiDBw+Gn58fHB0dCwyuCoUCN27cQE5ODmxsbPKtWJamrKws9OnTB2fP\\\n",
       "noVWq6Wu5IQQQoxQICSknFu3bh3s7Oxw5swZnDlzxug9hmEoEJZza9asga2tLfz8/FClShW4u7tD\\\n",
       "IpEUuiLB8zw2bdpkEt7UajX+/fdfswuy5xUQEAB/f3/ha39/f0gkEqHiaE7eQCcSieDt7Y3mzZvj\\\n",
       "0aNHuH79usVgwjAMJBIJtFqt2dDJ8zwcHBzQqVMneHt7Y9iwYQBeBkWpVFrgZ2MYw2ioDCYmJmLB\\\n",
       "ggXYtGmTEAQN0tLScPPmTahUKgQGBqJZs2aFCoOv3reDg0Oh9i0NPM9j7NixOHbsWJm1obyiCiEh\\\n",
       "xFrQGEJCyrno6GiLr6ioqBK5xooVK+Dv7w+5XI7GjRvj8uXL+e6/a9cuBAcHQy6Xo3bt2jh48KDR\\\n",
       "+zzPY9asWfDy8oKNjQ3atWtntIRBURge7C29EhISijwW6G16jRo1Ch999BHCwsJQsWJFuLm5Ydiw\\\n",
       "YXjy5Ak0Go3QzTE+Pl5YmP3VEKVSqRAREWH2s/v++++Nwo9erzf5mRGJRNi1a5fRzJgymQx2dnYW\\\n",
       "vycsy0IkEoFlWbAsC7lcjvfffx9Hjx7F8uXLMX36dEilUovHG9YGDAwMNDsjJ8/ziImJgUgkglwu\\\n",
       "h42NDWxsbCCTyQp8MNfr9UKVjOM45ObmYs+ePfjtt9+Qm5trUpXkeR4ajQYxMTFCFbI8TQrD87zZ\\\n",
       "bsCkYO/CGMInT568tW0jhLw9ys+/aoSQInnx4gW+//771z7Pzp07MXnyZHzzzTe4du0a6tSpg44d\\\n",
       "OyIxMdHs/hcvXsTAgQMxYsQIXL9+HT179kTPnj1x+/ZtYZ/vv/8eS5cuxerVqxEREQGFQoGOHTtC\\\n",
       "pVK9dnvfZRzHISsrC7///jtq166NIUOGYO3atZg1axa6deuGtm3bonv37jh06BAyMzOhUqlw7949\\\n",
       "s8sfAMDJkydx8eJF6HQ6aLVa/Pnnn4iJiTHap1WrVqhVq5bRNoZh4OzsbPachiqdVCoVQqFCoUCn\\\n",
       "Tp3g6+sLe3t7VKpUKd9QxTAM+vTpg/Xr1+ODDz4wOwNoQkJCkYIOz/NQqVTIyMiASqUSJsiJj4/H\\\n",
       "+vXrzVZGX2WYubesun0WF8MwqFmzZlk3o1x6FwLhq5V9QgixhLqMElLODR8+3Oz2mJgYXL58GdOm\\\n",
       "TXut8y9evBiffPIJ/ve//wEAVq9ejQMHDmDDhg2YPn26yf6//PILOnXqhKlTpwIAvvvuOxw7dgzL\\\n",
       "ly8Xljv4+eefMXPmTPTo0QMA8Pvvv8PDwwN79+7FgAEDXqu91iI7Oxt//fUXjhw5Ao7joFQqodfr\\\n",
       "8fz5c9y+fRvdu3dHy5YtsX//fpM1AQ1UKhXatm2LChUqQKVSITU11agbp1gsxtSpU80GMg8PDzx6\\\n",
       "9Ej42tDN09nZGQqFAikpKVCr1eA4DpmZmfj777/RuXNnuLi4CFVbSyQSCQYNGoSaNWuiTp06iI2N\\\n",
       "NekOrdPpMHv2bHTt2hVOTk75flaGNRjv378PuVwuVB71ej2uXr2KBw8e5Lu4vUwmg7+/P9q1a5dv\\\n",
       "ZfNtxDAMFi9ejCNHjkCj0ZR1c8qVd6nLaH5jcgkhhCqEhJRzaWlpRq/k5GRcvnwZp0+fxo8//vha\\\n",
       "59ZoNLh69SratWsnbGNZFu3atUN4eLjZY8LDw432B4COHTsK+0dHRyM+Pt5oH0dHRzRu3NjiOYl5\\\n",
       "Op0OGRkZyMrKEsbbGSZI2bp1KyZPnowDBw5YXFAdeDmW8NmzZ0hKSjIZ0ycSiaDT6cx2o6xWrZrQ\\\n",
       "fdLW1hZ169bFF198gYULF6J79+6QSqXCWD2tVovTp09jyZIliIyMRHJycr7j6tzd3REUFASJRAIH\\\n",
       "Bwf8+uuvZoNYVFQUFi5cmO8kKcnJyZg9eza6d++OCRMmYN26dXj48CEyMzPx7NkzrF+/Pt/KtI2N\\\n",
       "DVq2bIlvv/0WLVq0MBuO33aVK1fGDz/8UO6qm2XtXagQvqq8tZcQ8uZQhZCQcm7Pnj1mt8+bNw97\\\n",
       "9+7FqFGjin3u5ORk6PV6kzUOPTw8EBkZafaY+Ph4s/vHx8cL7xu2WdrHHLVabTSJSWZmZuFv5B1m\\\n",
       "7rf+hhCWlZVVrJlADfR6Pa5fv46OHTsahQme5xEYGAgHBwfo9XqEhoZizJgxqFOnjrCUw86dO43a\\\n",
       "ptVqERERgdatW8PGxgZ+fn5ITEw0G1YDAgIgk8kAvHyI9fLygr29PVJSUoz24zgOe/bswVdffQV7\\\n",
       "e3uT82i1WuzcuRMbNmxAWloaWJYFwzAICQmBRCLB3bt3cffu3XwrJzY2NmjSpAnq1KkDuVxe5M/w\\\n",
       "bcAwDAYNGoTffvsN//33X1k3h7xhhp/vyZMnY+nSpTTLLCHEBFUICXlHDRw4EKdPny7rZpSYBQsW\\\n",
       "wNHRUXj5+fmVdZPeaoblFF6nm5her8eSJUuwatUq5OTkGM3M2a1bNyxZsgTHjx/H/v370bNnTwQE\\\n",
       "BKBixYpo2bKlyfp8HMfh4cOHSEtLQ2hoKFavXo3PP/8cLi4uRtUKmUyGuXPnGk0mY2dnJ3Qvzuvh\\\n",
       "w4eYN2+eyUOuXq/HL7/8gsmTJyMuLg5KpRI5OTmIjIzE/PnzMXToUHz++ecWx8IasCwLf39/uLu7\\\n",
       "m53g5tX7UyqVyMrKQkZGBtLT05Geno7c3NzXCuUlxdXVFeHh4QVOCEWMlcfqoKU2jR8/Xqj4U/dR\\\n",
       "QsirKBAS8o66efMm6tWr91rncHNzg0gkQkJCgtH2hIQEeHp6mj3G09Mz3/0N/y3KOQFgxowZyMjI\\\n",
       "EF7Pnj0r8v2QouF5HmlpaZgyZQratm2L8PBw5OTkgOM4VKlSBf369UO9evUgl8uFh1CRSARHR0ez\\\n",
       "C7ZzHIfKlSvDz88PISEhmDdvHqKiorB8+XIEBwcjICAAX375JRo2bGh0HMuy+OijjyzOOLps2TI8\\\n",
       "ePBAGCPH8zwePHiAOXPmmIyb0+v1SElJwaNHj5CZmVngg3FqaipWrVqF2NhYi/vm5uZi6dKleO+9\\\n",
       "91CnTh2EhISgRo0aqFatGmrXro3x48cjPj6+zB/CpVLpa/8/wZqU5y6jhor5q784CwgIeOvaSQh5\\\n",
       "O1CXUULKucmTJ5tsS0hIwL59+9ClSxej9xcvXlykc0ulUoSGhuLEiRPo2bMngJcP9SdOnMC4cePM\\\n",
       "HtO0aVOcOHECEydOFLYdO3YMTZs2BfDyocTT0xMnTpxA3bp1Abzs/hkREYHRo0dbbItMJhO6EZI3\\\n",
       "S6vV4vLlyxg0aBC2b9+OunXrGoVAc/ubW6NQoVCgcuXKRusoOjo6YvTo0fjoo4+QmpoKZ2dns+MF\\\n",
       "/f39YWtra7arcG5uLgYNGoRJkyahZ8+eyMnJwfjx4y1OplMUer0e//77L/r27Ytz586ZzK6q1+sx\\\n",
       "d+5cLF68GBqNBjzPG03gkZiYiNWrV2Pfvn34448/0KRJkxJ/KDdck5Ss8jypjKFL/vPnz+Hp6Yn4\\\n",
       "+HjY2NhAqVSWccsIIW8jCoSElHPXr183u71hw4ZITEwUusQV94Fl8uTJGDp0KBo0aIBGjRrh559/\\\n",
       "Rk5OjjDr6JAhQ+Dj44MFCxYAACZMmIBWrVrhp59+QpcuXbBjxw78+++/WLNmjdCOiRMnYu7cuQgK\\\n",
       "CkJAQAC+/vpreHt7C6GTvH14nsfz589x9uxZ1KtXz+LDsk6nw40bN5CcnGzyXoUKFeDg4GByHMMw\\\n",
       "sLOzg1wuF7qzvbqPYVt+M3zevHkTo0ePxs6dO5GWlobLly+XWEWO53ncuXMHAwcOxIEDB4wmlklM\\\n",
       "TMTKlSuNAnDe6xpmf23Xrh3Wrl2LgQMHvnUBgpgqz4Hw0aNH+OijjwC8nHgMeNlt+Pnz52XZLELI\\\n",
       "W4oCISHl3KlTp0r1/P3790dSUhJmzZqF+Ph41K1bF4cPHxZ+A/306VOjNeWaNWuGbdu2YebMmfjy\\\n",
       "yy8RFBSEvXv3Gq1lN23aNOTk5GDkyJFIT09HixYtcPjw4WJN2lHQg5iHh0eZd9V7HW/Tg6Zer8ft\\\n",
       "27eh1WqF7puG9fl4nkdubi4iIiIwffp0ZGVlGR3LMAw8PDwsjsNjGEYYhycWiyGXy4XgpdPpEBMT\\\n",
       "k++yCRzHIScnBwcPHgRgfrKd13X8+HHcuHEDoaGhwjUOHjxY6AmOcnNzMXToUGRmZmLUqFFv1feW\\\n",
       "mCrPgRAAtmzZAgDC3xsKg4QQSygQEkIKNG7cOItdRM1NXNOvXz/069fP4vkYhsGcOXMwZ86ckmri\\\n",
       "O8vT0xMqlQrZ2dn5Lh/xJvA8j/v37yM+Ph7Ozs6IiYnBvn378O+//yItLQ3x8fFITExEbm6u2UCW\\\n",
       "kZEBjUYDW1tbk/c4jkNcXBwuXbokLKbu6+sLiUSCzMxMnDx5slDr6JVm+Nfr9fjyyy9x8OBBiEQi\\\n",
       "cByHv/76q0jX1Ol0GDduHPz8/NClS5cSadfbGEbeBeU1EL5aYe/QoQOOHj36VrWPEPL2oUBISDnU\\\n",
       "qVMnfPvtt2jSpEm++2VlZWHlypWws7PD2LFj31DrSEm6e/cucnNzcfbsWcycORPR0dFlWvE0TNbC\\\n",
       "8zyOHz8uLE1SUJt4nsfdu3dx6dIldOjQwaiqDABKpRL//PMPtm7dCq1Wi6CgIISFhSEwMBDPnz/H\\\n",
       "iRMnyjwQA8CVK1egUqmgUCjAcVyBs5Sao9fr0bt3b/z777+oXbu22X04jnsrJysh5cOrfx9Pnz6N\\\n",
       "1q1bA7A8xIAQYt0oEBJSDvXr1w99+vSBo6MjunXrhgYNGsDb2xtyuRxpaWm4e/cuzp8/j4MHD6JL\\\n",
       "ly744YcfyrrJpJicnZ3h7OyMDz74AKGhoejZsyciIyOLFQpfneykuDIzM7Fjxw7o9foiL6eQlZWF\\\n",
       "Tz/9FEePHkVQUJAQdnieR3p6Os6fP4/Hjx9DrVbj+fPniIyMhK+vL7KysvDw4cO3YvmG3NxcKJVK\\\n",
       "KBQKsCyLgIAAXL161ey+hkBnrt0ajQYtWrTA/fv3TWbXNTeOkrx55bVCmFdYWFi57jZPCCl9tOwE\\\n",
       "IeXQiBEjEBUVhS+//BJ3797FyJEj0bJlSzRs2BAdO3bE2rVrUbFiRVy5cgU7d+5ExYoVy7rJ5DWJ\\\n",
       "RCJUrlwZq1atgpeXl0mFrTDH29ra5ruWXmFwHAetVluscMbzPJ4+fYoePXrg6dOnwthDjuOg0WiQ\\\n",
       "mZkJpVIJlUqF9PR0PH78GBEREbhz5w6ysrLeiodanU6HnJwcAC+Xwxg5cmS+YcDGxsbi7LiZmZkY\\\n",
       "NGiQSVdYw/Idb3PIsAbledkJQggpCqoQElJOyWQyDB48GIMHDwbwcnyWUqmEq6srJBJJGbeOlAaW\\\n",
       "ZREaGoqpU6dixYoVSE5OFsKDRqOBUqkUFp42YBgGUqkUlStXRsWKFXHjxg0kJCSUWbgyjEMcNmwY\\\n",
       "duzYAVdXV/A8D71eD7VaDZ1OJ3RB1ev10Gg0YBjGZOH5ssJxHB49eoRKlSqBYRg0btwYNjY2yM3N\\\n",
       "Nbu/l5cXgoKCcPbsWSFIvioiIgKJiYnw9fUt7aaTInpXKoSEEFIQCoSEvCMcHR3h6OhY1s0gJSxv\\\n",
       "cBOLxejQoQN0Oh0eP34MJycneHh4IDMzE+Hh4bh58ybS09PBcRzEYjHc3d3RqlUrdOrUCWKxGKtX\\\n",
       "r0ZycrLReDyJRAKxWAy1Wv1GumXyPI/z589jwYIFmDFjBmxsbPDixQu8ePECOp1OaIOhgvimH7al\\\n",
       "Uim8vb2Rm5trMkaQ53l8//33aNWqlTAbasWKFREZGWlyHp7nYWNjg969ewMADh8+bPL91Gg0xQqE\\\n",
       "hvNQECk9FAgJIdaCAiEhhLzFatasCVdXV7Ru3Rpt27aFu7s7srOz4evrKzyESiQSyGQyBAYGwsHB\\\n",
       "AU5OTmjQoAFCQ0OFsaU6nQ63bt1CUlKSECZEIhHq1auHuXPnQqPRYNy4cXj69Gmx2smyLCQSCfR6\\\n",
       "faEmf9HpdFi6dCl2796NGjVq4NGjR4iJiTGqBL46ls5wfp7nTaqghSUSieDt7Y3evXsjKCgIFy9e\\\n",
       "xP79+5GdnS1cx9/fH2fOnIGPjw8YhsGCBQswc+ZMo+sdPXoUzZo1w8aNG5GbmwuVSmXxmpGRkdi8\\\n",
       "eTOSkpLMvl+UiWk4jkNycjIiIiKQkpKCmjVrolq1asKsrZmZmTh27Bji4+MxYMAAYWkYUjylHQiD\\\n",
       "g4Nx//59o21isRharbbI5yKEkNdBgZAQQt5i9+7dAwCEh4dj06ZN6NSpE3x9ffHgwQPcuXMHycnJ\\\n",
       "UKlUwkOkvb092rZti8aNG6NKlSpCiEpPT8fhw4fx4MEDIXTxPA8PDw8EBARAr9fDxcWlWIFQLBbD\\\n",
       "w8MDLi4uiIuLQ1paWqEqjTzP49mzZ4iNjRXCn6X9GIaBra0tHBwckJmZiczMzEJXM1mWhZOTE6ZM\\\n",
       "mYLPPvsMCoUCDMNgzJgxSElJwZgxY3D8+HHY2tpi2bJlRmF7+vTpiIiIwN9//210zitXriAsLAz+\\\n",
       "/v5ISUmxeG2tVovw8HCh2pkXx3G4fv262ZlXX6XX67Fz50588cUXQldhT09PfPLJJ+jVqxcAYN++\\\n",
       "ffj111+FrrcTJ04U1nIkb5fevXsLYVAkEqFChQp48eIFnJ2dy7hlhBBrRIGQEELKAb1ej7i4OJw6\\\n",
       "dQpeXl54+PCh2SUfsrKycO7cOUycOBFSqRQsy0Kv1yM2Nhbbt283qmZxHIczZ87gl19+AcuyePTo\\\n",
       "UZHbxbIsfHx8EBYWBpVKVeSwZmhHQRiGgaOjIxo2bAiNRoPLly8jMTHR4rEMw0AsFkOhUCAgIABT\\\n",
       "pkxBnz59jCZ4YRgGbm5u2LJlCy5cuICEhAS0aNHCqNrDsix27twJT09PZGRkGF0jJSVFGBeY3wyu\\\n",
       "BVV8jhw5glGjRsHZ2dlspSk3NxdTp07F2rVrjc715MkTzJs3D0ePHoWHhweuXr2K+Ph4sCyLO3fu\\\n",
       "QKfTGQVCw7jMd2GM8aRJk+Dg4FCq1yjNCuGePXsAlO66mYQQUlgUCAkhpJzgeR5arRYpKSlITU01\\\n",
       "2zWT4zg8f/4c9+7dQ40aNcCyLDQaDXbs2IG4uDiT/bOzs7F69epiT9zi4OCAPn36oHbt2oiIiADw\\\n",
       "MkSxLFui4xFZloWbmxuaNm0KNzc3VKpUCf/88w8SEhKg0+mEa0qlUjg4OCAgIADBwcEICAhAtWrV\\\n",
       "0KJFC0ilUrPnlkqlaNmyJbKysmBjY2Pyvlwux5EjR9CsWTOjezLMkOri4oLMzEzk5uYW+QGf53k8\\\n",
       "fPgQ69evR8uWLeHg4ACe56HRaJCQkIDDhw9j69atSElJMTk3z/PIycnB+fPnYWNjA51OB51OB7lc\\\n",
       "DmdnZ6OqpEqlwsGDB7Fy5coitc+avYkxhHmPo4BICCkLFAgJKeeGDh2KESNG4L333ivrppBSZugm\\\n",
       "qNfr8w1vGo0Gv//+O9q0aQOFQoGIiAisW7fO4jHFDW4ikQidO3fGkCFDwLIsXrx4AalUColEApZl\\\n",
       "hZBZ3GUqAAjjBx0cHBAaGorGjRvDw8MDdevWRYcOHaDX6+Hv7w9fX19IpVKjZTX0ej2USiU0Gg1s\\\n",
       "bW3zfWg3VBMt7dOoUSMMHjwYmzdvNprQxcnJCf369YNCocCxY8fw8OFDKJVK4fMxzJSa3/2pVCr8\\\n",
       "+uuvWLRoETIzM4s8RlKn0yE7O9toCQRHR0dwHAeO46DT6XDw4EGMHz++0OMVSfEC4enTpzFixAhh\\\n",
       "e/PmzTF8+PB8j5VKpcLPSEmsFUoIIUVFgZCQci4jIwPt2rVDpUqV8L///Q9Dhw6Fj49PWTeLlAKR\\\n",
       "SARfX1+kpqYW+NB49uxZTJkyBU5OTti5cydSU1NLvD1eXl74+uuvERgYCL1ejw4dOuDatWtCUGrT\\\n",
       "pg3q16+PrKws/P333zh16lSB6wkyDAOJRAJbW1vY2NhAoVDA29sbbdu2Rc+ePeHv7y9U+qpVqyaE\\\n",
       "T0teXRKioBlLDdVUkUhkck6GYbB69WpERUXh0qVL4DgOCoUCffr0wcSJE+Hm5obp06dDqVRCqVSC\\\n",
       "4zio1Wrs2bMH8+fPN7vkBPCywurr64u4uLhCfV8teXUCHqVSiYsXL2LIkCHw8PBATk4O7ty5A7Va\\\n",
       "TWGjCIoTCKOiohAVFSVs37BhQ76BMO8SMYQQUhYoEBJSzu3duxdJSUnYvHkzfvvtN3zzzTdo164d\\\n",
       "RowYgR49erwT44XIS4YxYIWZhVClUuHIkSMAkO+kJ8XFMAzq168PX19fYdmKSpUqoUWLFtDr9ahW\\\n",
       "rRoGDBiAgIAAsCyLNm3aYM2aNVi2bBmys7MtntPGxgZBQUFo1KgRKleuDDc3N3h6eiIoKAheXl6w\\\n",
       "sbERHpwN1cP8GLqSFrY7rEqlglgsNtu9VC6X44svvsC4ceOQkZGBihUronXr1nBzcxMqkHZ2dsL+\\\n",
       "HMdh6NCh2LZtG+7cuWNyPrFYjDp16qBmzZo4ePBgiXyfDD8jd+/exe3bt2Fvbw+NRgNnZ2c4Ozsj\\\n",
       "NzdXqGCS/BUnEAYGBiIsLEzY3rx589JoGiGElCgKhIS8A9zd3TF58mRMnjwZ165dw8aNG/HRRx/B\\\n",
       "zs4OgwcPxpgxYxAUFFTWzSSvSa/X4/bt24Uaq8ZxnMWlDgrLwcEBHTp0gFqtxtmzZ5GZmSlUofz8\\\n",
       "/LBy5UrY29sL+7u6umLEiBHo2bMnnJycYG9vLwQ2Ozs7zJs3D59//jkGDx6M48ePC2MgWZaFQqFA\\\n",
       "w4YNMX78eLRo0QIODg4QiURG4a84DMcZxge+2qU0L61Wi4sXL8LGxgYtWrQwmoDGcK73338f586d\\\n",
       "w927d+Hs7Izg4GAoFAqzwdQw4c6OHTtQr149ozGfLMti+vTpmDp1KliWRd26dfHZZ5/l2720sAzj\\\n",
       "SEeNGoWvvvoK7733HsLCwlCxYkXcvn0bM2fOfO1rEPPCwsKwfv36sm4GIYQUCQVCQt4hL168wLFj\\\n",
       "x3Ds2DGIRCK8//77uHXrFmrUqIHvv/8ekyZNKusmktfAcRyePHmS7xINJaVGjRo4f/48nJycwPM8\\\n",
       "MjIy8Msvv2Dfvn3w8/PD4sWL4e3tbXSMoUJmaSwewzBwdXXFgQMHEB8fj/DwcKhUKlSpUgUVK1aE\\\n",
       "o6MjZDKZMP6wpKjVaty8eROhoaGoUKGCxf1evHiBr7/+Gi9evMD777+PpUuXGlX8gJdBztfXF15e\\\n",
       "XgBgFFotqVGjBtq3by8sTM+yLKZNm4bZs2cLQXLEiBGIiorCjz/+WKzJffLieR5xcXH4/vvvUadO\\\n",
       "HdSvXx/Vq1dH165dKRAWUmlOKiMWi6HT6YS/E6VRxSeEkMKiQEhIOafVavH3339j48aNOHr0KEJC\\\n",
       "QjBx4kR8+OGHwrTse/bswfDhwykQvgMKs+j762BZFvXr18eZM2eEBc8ZhoGzszO++eYbzJgxAwzD\\\n",
       "WJyx07B/Qdfw9vZGnz59SrTtlrx48QIrVqxA/fr18dVXX5lU/oCXAWr//v24c+cOtFotfvvtN1y4\\\n",
       "cAGRkZEm92NY0qKwWJbFtm3b0LFjRzx58gTjx4/HjBkzjKqKIpEI8+fPR/Xq1TFx4sQiL91hyYsX\\\n",
       "L4SZR2mMWtGUZiDUarXCMa+GQRrjSQgpCxQICSnnvLy8wHEcBg4ciMuXL6Nu3bom+7Ru3RpOTk5v\\\n",
       "vG2kfLC1tcWgQYMwduxYVKtWDXK53Ox+DMOYDVNvM57n8eOPP+Lw4cM4dOgQNm/ejBs3bsDR0dFk\\\n",
       "vzt37gjVOY7j8ODBA7Rs2RJHjx4VwvGr+xclBDg5OSEiIiLf41iWxdChQzFkyBCo1WqkpKQgJiYG\\\n",
       "u3fvxpo1a5CVlVXEu395H4GBgRQGi6k0PzcKf4SQt0X+o/EJIW+9JUuWIC4uDitWrDAbBoGXD6PR\\\n",
       "0dFvtmGkXGBZFnPmzMGKFStQp04di2GwvOJ5Hrdu3YJerxe63DZr1gwqlcpk3169epl0Eb169SpW\\\n",
       "rVqF7OxsYUKfnJwcZGVlFWpyn7wKEzAYhoFcLoePjw+aNWuG+fPnY8GCBUaLzBeWnZ0d3N3di3wc\\\n",
       "+b8KYWFfhBBSXlEgJKSc++ijj965h3jyfwozRu11yGQy9O3b952djdYwRutV9+7dw6xZs4zG6rEs\\\n",
       "i9atW2PFihWoVKkSxGKxMEPpkSNHcPr0ady7dw8XLlzAqlWrMGfOHPz555/IyMgo9XuQSqX44IMP\\\n",
       "TKqaBoalOvJObMOyLMaNG2dS1TWMQS3PLw8Pj1IPaBQICSHWggIhIYS8xe7evYt//vkHtWvXLrWH\\\n",
       "zsJUnjiOg0ajyXdcm16vtzghikajQWZmZr5VNcM1tFptobrTcRyH+/fv4/jx48jMzDR7bYZhMG3a\\\n",
       "NKOwxPM8fv/9dyQmJhpdRy6XY+DAgbh69Sr++OMPjBgxAr1790ZYWBgyMzNx6dIlbNu2DRs2bMCm\\\n",
       "TZswYcIE9O7dG5cuXSr1sZ0ODg7CRDavcnZ2xqpVq3Dt2jX89ddfaNGiBRwdHeHs7Izhw4dj5syZ\\\n",
       "FFaKiQIhIcRaUCAkhJC3WNWqVfH+++/j6tWrGDBgQImfX6fTFdid+PHjx2jevDkCAwMxbtw4k+6W\\\n",
       "HMfh0KFDaNq0KerUqYNvv/0WycnJ0Ol0UKlUOHToEGrXrg1fX1/UqlULBw8eNFpeQa/XIy4uDj/9\\\n",
       "9BM++ugjzJ07F8+ePSswFEZFRaFt27bo0aMH+vbtixMnTpg9plWrVmjYsKHRQ7tKpUJMTIzJ/iKR\\\n",
       "CK6urujZsydWr16NtWvXYvz48WjXrh1q1aoFhUKB3NxcZGdnIzU1FadPn0ZYWBhCQkLw999/l8iy\\\n",
       "EeaIRCJUr15dCLYMw6BBgwaIjo7GqFGjUKtWLfTs2ROnT59GbGwsnj59il9//bXcjfkkhBDy5tGk\\\n",
       "MoQQUg5IJBJs3LgRhw8fRlpaWomdV6/X448//kCzZs3MVgrT0tJQr149YUKT1atXQyqVYsmSJULA\\\n",
       "unbtGnr27CmEoTt37mDJkiV47733oFarcf78eWEx9KysLPTu3Rvt27fHuHHj4OTkhIMHD2Lt2rVI\\\n",
       "TEwEx3EQiUTYv38/Tpw4AWdnZ4ttX7VqFeLj48FxHC5duoQNGzagbdu2JvchFouxd+9eNGjQAC9e\\\n",
       "vADDMHBwcIBOp7MYOg1VH0N3bIVCAUdHR4hEIty6dUtoK8/zUKvVuHfvHnr06AEbGxt07twZs2bN\\\n",
       "gr+/P0QiETQaDXJzcyEWi+Hk5ASZTFbkihLLsvjggw9w/fp1qNVqjB49GlOnTjXp6isSiaBQKIp0\\\n",
       "bmJeac4ySgghbxOqEBJCSDkhk8kwduzYEj0nx3H466+/kJqaavb9GTNmGM1uyfM81q9fL1QJOY7D\\\n",
       "nDlzTCpjmZmZOHToEM6ePWtSUVSr1Th8+DAGDRqEvn374scff0R8fDz0ej14nodOp8PNmzexYsWK\\\n",
       "fNt99epVIdDJZDL4+fmZXSAeADw8PLBx40ZhvcOAgADI5fJCz/RomGG1bt26GDt2rLCkS15KpRK7\\\n",
       "d+9G3bp14erqChcXF3h7e6Nq1aqoWbMm2rZti927dyMrK6tIs0yyLIvOnTvj6NGj+O+//zBjxox3\\\n",
       "dtzn24K6jBJCrAUFQkIIKUd69epV4g+fCQkJ2LRpk0lA0Wq12Lp1q8n+SqVSqPjxPI/IyEiz5zWM\\\n",
       "NzQX0vR6PTIzM5GamgqNRmNybY7jsG7dOotj87RaLVQqFViWhUQiQa9evTB69GiLnw3DMHjvvfcw\\\n",
       "ZcoUNG7cGPXr14dMJivyWn8SiQTt27c36YJqjmFWUrVaDaVSidTUVERERGDYsGFo3749Dh06VKQu\\\n",
       "pnZ2dggMDISzszMFkDeAAiEhxFpQICSEkHKkNGaU5TgOCxYsMFnn7saNG8jJyTHZ/9W19BiGsViV\\\n",
       "k0qlaNSoEUJCQkzGsrEsC1tbW1SsWBGurq5mz5GWlmZ2eQjg/xbztrOzQ7169TB37lz4+/vne59S\\\n",
       "qRR9+/bFkCFD0LRpU8jlcmE5iqJQKBTo2rVrsUIAx3FQKpW4fv06PvnkE2zatKlUJqQxXCczMxPZ\\\n",
       "2dnCUhkl2d34XUeBkBBiLSgQEkJIOWKpGve60tLSMH36dGGmTpVKhf79+5vt1sgwDKRSqfBnT09P\\\n",
       "s+fs1KkTdu/ejRMnTmDlypXw8/ODTCaDXC5HxYoV8dVXX2Hv3r04evQoevXqBbHYeFi7i4uL2ZlD\\\n",
       "VSoVjhw5Aq1Wi2rVqmHRokVwd3e3GExfbberqyvCwsIQGhoKe3t76PV66HQ6obtqYTAMAw8Pj0Lt\\\n",
       "m/c4sVgsLBGRk5ODAwcOIDMzs8jnskSj0eDvv/9G48aN4evrC19fX/j5+cHf3x8BAQEICAgosWu9\\\n",
       "6ygQEkKsBU0qQwgh5QTHcbhx40aRxp4Vxd69e/Hll1/C3d0d169fR2xsrNn9GIYRJm5hGMbs+ngM\\\n",
       "w+DDDz8Uujf26tUL0dHR2LVrF/R6Pbp27Yr+/fvD09MTDMNg7ty5uH//Pu7duydMLFOnTh2TCWL0\\\n",
       "ej2eP3+OixcvQqfTITg4GNWqVSv0A7lIJIKDgwOkUqkQIHU6HTiOg0QiKdQSHDzPIykpqcjfB5Zl\\\n",
       "YWdnB5lMBr1eD6lUanEsYnHodDr88ccfmDJlCpKTk4tc+SSEEGKdKBASQshbzLAQt16vx/379/H7\\\n",
       "77+X2rVevHiBkJAQ+Pn54f79+xbHt7EsaxSc7OzsTPaRy+Xo1q2bsJ+zszO++eYbjB49Gmq1Gl5e\\\n",
       "XkbdX4ODg3Ht2jVcu3YNZ86cQXBwMFq0aAEbGxvwPA+O45CSkoItW7Zg06ZNSEhIgJubGz744AO4\\\n",
       "u7sX+h4ZhoGNjY3QXVSr1SItLQ3Pnz8Hy7KoWrUqHBwc8g2YSqUSy5YtK1LgYhgGfn5+GDVqFIKC\\\n",
       "gpCZmQmVSoX69evD3t7e4nE8zyM3Nxc8z0OhUFhsV2pqKkJDQ80upUGKh2YZJYRYCwqEhBDyFhs8\\\n",
       "eDA0Gg1SUlIQHR2NFy9elOr10tLSChxn9mrXTp7n8fTpU5N9XFxcTMY7isVieHt7WzyvRCJB48aN\\\n",
       "0bhxY6Pter0ed+7cweDBg3H//n3odDqIRCL4+PigSZMmharqverVbn6Gxe1nz56Nx48fw9fXFz/9\\\n",
       "9JPF82ZlZaF///64fft2ka7Jsiy6du2KESNGCIGT53mIRCKTrrKvio6OxujRo6FUKvHjjz+ancwm\\\n",
       "KSkJlStXNhkDSl4PBUJCiLWgQEgIIW+xbdu2CX9+NciUZRXo1XXudDod7t69a7JPhQoVSuwhWa/X\\\n",
       "46uvvsLt27eF++Z5Hj4+PnB1dS32eQ0T4pw9exYRERFQq9WIjY1Fu3btMH36dEybNg02NjZCG+7c\\\n",
       "uYNu3bqZDcCF4efnB0dHR0gkkkJ9NomJiWjRogXi4+PB8zxatWqFTZs2oV+/fkJ315SUFFStWpXC\\\n",
       "YCmgQEgIsRY0qQwhhJQTPM+DZVkoFIp8q0qlrVmzZmBZFjzPIy4uDhkZGSb7lOTkJTqdDufPnzcJ\\\n",
       "wU2aNHntz4FhGJw/fx5qtVrYplKp8MMPPyAiIkLorpqamoqhQ4daDIMikSjfSiXHcUKgLUx4SElJ\\\n",
       "Qb169fDixQvhvlUqFQYPHoyZM2fi6dOnOHv2LKpXr4709PSi3TQpFJpUhhBiLSgQEkJIOSKXyzFu\\\n",
       "3DiMHDlSmOnzTbKxscHSpUuFCtW5c+fMzgTasmXLErumVqs1u/xF+/bt8z1OqVTi8ePHeP78ucWl\\\n",
       "HQxjM/PSaDSwsbERqog2NjZmz8GyLBo1aoQdO3Zg48aNFpe+4HkeZ8+eRUpKilGwNQROjuOg1+uh\\\n",
       "VCqxf/9+VK5cGXFxcSbn0el0WLRoEerUqYOOHTsiKSkp38+AFB8FQkKItaAuo4QQUo54e3tj8uTJ\\\n",
       "kMvlyM7OzneSGYZh4O3tjVGjRqFOnTpITk7Gvn37cPr06WItdSASiXD06FFUrFgRwMswk5WVZdKF\\\n",
       "VSKRoG3btkW/OQvEYrHJA7dYLEaVKlUsHpOamorhw4cjIiICvr6++O2331C9enWT86Snp5sNVe7u\\\n",
       "7qhXr57wtZ2dHTZs2IB27doJ3TPt7OywbNkyfPjhh5BIJOB5HqGhoQgNDTW7fmJcXBzWrFmDSZMm\\\n",
       "wdbWFhzHITk5GSdPnsThw4dx69YtxMTEICsrK98uwRzHUVWQEEJIiaFASAgh5YiHhwecnJwgFosx\\\n",
       "Z84cbN++HVqt1mQ/hmGwefNmfPjhh0YhaPjw4QCAiIgItG/fvtBjzxiGwd69e9GiRQujbb169cJX\\\n",
       "X30lBBRXV1fs2LEDwcHBQtXLEHCcnJzMdqvkOC7fNQRtbGxQq1YtXLt2Tdjm4+MDW1tbs/vHxsai\\\n",
       "du3awuQ4CQkJGDp0KM6cOWN0jFKpRKdOnYy6iwKATCZDZGSkSQW2YcOGyMjIgF6vFyqHeT8jf39/\\\n",
       "2Nramg2EWq0W3333HRYvXiwEepVKRbOCvqVoDCEhxFpQl1FCCClHnj17Bq1WC57nLXaDBF52Le3Z\\\n",
       "s6fFB9XGjRvjxo0bcHFxKfS1q1evbrLN1dUV48aNQ9WqVdG7d29cvnwZrVu3hkQiAcdxOHToEGrX\\\n",
       "ro3AwEAMGjQI2dnZRsdzHAedTpdvKGJZFkOGDDFa+9DBwcHkXMDLcXb9+/c3mimV53k8fPgQDx48\\\n",
       "gF6vB8dxyMzMxKhRo/Dff/+ZnGPs2LH5LgUhEonMBlie5/HPP//kW73jOA5ZWVlISkqCUql87TAo\\\n",
       "l8tRtWpVNGjQAAEBAXBwcBDWU2RZlro0vgbqMkoIsRYUCAkhpByJj4/HgwcPoFQqcfnyZYtr4Tk7\\\n",
       "O5ss+5BXYGAgrl69Cn9//3wrdMDLsHPmzBmT7SKRCB9++CFWr16NDRs2ICAgwOhcP/30E+Li4pCZ\\\n",
       "mYk//vgDffv2RW5urtE5CvMw7efnJ3QdZRgGT58+xbJly5CQkACNRgO1Wo3MzEzMmzcPERERJscr\\\n",
       "lUqsWbMG//33H86ePYtu3bph27ZtJp+fjY0Nvv766wLbkxfHcdi6dSsGDx78xhaEl8vlOHnyJO7e\\\n",
       "vYvLly/j4cOHiI6OxuLFi+Hr6ysEaEPoZBimyEt0WDMKhIQQa0FdRgkhpBxRq9VYuHAhhg0bhk2b\\\n",
       "NuUbCAvzkOrv74+zZ89iwIABuHr1KjQajcWq1dSpUzFgwACjbpc6nQ4SiQTVq1c3qaqxLGs0AynP\\\n",
       "8zhx4gSOHDmCHj16gGVZ4ZUfjuOwb98+oTLK8zwyMjKwYMECrFmzBiEhIXB1dUVKSgrCw8PNVk51\\\n",
       "Oh3++OMPnD17FvHx8UhLSzP72bVv3x4ODg75ticvjUaD7t274+jRo2+0+2f//v3RpEkT4fssEong\\\n",
       "4uKCUaNGITExEd9//73RMh0ikQgymeyNta+8oy6jhBBrQRVCQggpR3iex+HDhzF//nxcv37dYgAp\\\n",
       "qDr4Kl9fX/z+++/o0qWLxXF5wMuJWtq1a4f09HTo9XqoVCrcuXMH58+fh0ajMXkoZlkWPXr0MNqm\\\n",
       "1+uxZ8+eIlXRrl69ip07dxodw/M8tFot4uPjcezYMezatQunTp0yOxspAGHpiHv37iE1NdXs9SUS\\\n",
       "CQYOHFikh3uNRoMmTZrgyJEjbzQMMgyDOXPmmG2rRCJBnz59zI5xNKyrSAqHqoOEEGtAFUJCCCln\\\n",
       "srKycO3aNbOTyRgolcoCJ2sxYBgGPj4+GDVqFJKTk3Hp0iVoNBqz+4aHhyMoKAidO3cW1taTyWQI\\\n",
       "DAyEr6+vycPxlClTsGzZMqMxfTKZrFDtAoAnT56gdevWJhO/vMownrKgh3NDddESQ0VTr9cL6xuq\\\n",
       "1WrcuXMHDx48QHBwMIKDgyGTycAwDDQaDUaPHo3r168X6l5KkpOTE7y9vS2+7+/vD4lEAqVSKWzj\\\n",
       "ed7sEiGEEEKsGwVCQggpZziOM3rQNychIQEqlQp2dnaFOqdGo0Fubi7c3Nxga2srdM80Jzk5GVu2\\\n",
       "bIFIJALDMLCzs0NsbKzZfe3t7XH79m20atUKT58+hUKhwJAhQwoVCB88eIA6deqYnbHTErFYDL1e\\\n",
       "X6zgo9Vq8csvv6BSpUqoVasW4uLi0L17dyQlJQldLitVqoQ5c+agbt26OHnyJLZv317k6xSFSCSC\\\n",
       "ra0tNBqN0J2XZVlMnz5dCK3m2NraQqFQGC0vwnGcyfhNYhl1GSWEWAsKhIQQUg4V1OUyPT0dJ06c\\\n",
       "MOmyaU5ubi5Wr16NLVu2IDk5GTqdDizL5huqDFU5lmUhEokQGBho8aHY29sb//33H44fPw6JRILG\\\n",
       "jRsX2KakpCSEhITkWxl8FcMwEIvFqFixIjIyMpCcnFzkLpwcxyEyMhK9evWCSCSCSqUy+gx0Oh2i\\\n",
       "oqIwbtw4hIWFIS0trdQrbmKxGE2aNIGbmxtu3LiB1NRUNGvWDOPGjcv3OJFIBFdXV7x48ULYZuhm\\\n",
       "SwqHAiEhxFpQICSEkHeQXq/HJ598gvbt2+c7LlCtVqNv3744duyYEG4M1bu8C87nxTAMZDIZOnfu\\\n",
       "jFq1auXbHhsbG3Tp0gUcx+Vb2QJeBhdz6wPmRyaToXr16pg2bRouX76MlStXWjzecH/mQjXP8/lW\\\n",
       "JA1B2NfXF+3bt4dOp8OlS5fyXQLkdRjO26VLF3zwwQdgWRZNmjTJ93uaH1rzsPAoEBJCrAVNKkMI\\\n",
       "Ie+opKQkdOrUyWI1ked5fPnllzh8+LCwFuCr48zEYrHFrp0sy8Lb2xtff/01Fi9eXKjJSgzVxIJk\\\n",
       "ZWXh9u3bBe73qubNm+P7779Hjx49MG3aNIsBVaFQoGfPnqhfv36xlmAQi8UYNmwYvvvuO3zyySc4\\\n",
       "cuQIDh8+jKZNm8LJyQkKhQJOTk5wcXGBra1tocdKWqLX63H58mWcO3cODMMgKCioULOgZmZm4unT\\\n",
       "p691bWtHy04QQqwFBUJCCHmHnTt3DtOmTTNbGcrJycHq1avNvscwDKRSKSQSiVGoYRgGCoUCo0eP\\\n",
       "RkREBKZOnQpXV9dCPRDrdDqo1eoCu1kePHjQpOImk8ng6OgIiURisr9IJMLHH3+MRo0aQS6Xo0KF\\\n",
       "Cli2bBmkUqnRfg4ODrhx4wa2b9+OP/74o9DjKw3s7Ozw+++/Y8mSJXB0dIRYLIatrS3atm2LCxcu\\\n",
       "IDExESkpKYiLi8PDhw/x999/o379+mYroizLCusqFiQjIwO//fYbvvjiC6xYsQIxMTH5dhnW6/X4\\\n",
       "+OOPkZWVVaT7I8YoEBJCrAUFQkIIecctXrwYCxYsMAl+165ds9g9UiQSQS6XQy6XC5VCsVgMd3d3\\\n",
       "LF26FD/99BN8fHwKDDU8z0OtVuO///7DZ599hvbt22P48OG4fv262fFsL168wFdffQXg/5ZJmDBh\\\n",
       "Au7fv49Hjx5h8+bNJkGOYRi4urpCIpGAYRiwLIv69eujXbt2QphVKBT477//UKVKFUilUlSqVAk1\\\n",
       "atQo8LMTi8Xw8/PD8uXLkZCQgIEDB5qtLDIMA4lEAplMBhsbG7i4uCAsLAy//vorQkNDYWtrC7FY\\\n",
       "DIlEAltbWzg6OgqzlRaGSqXC/fv3sXr1arRs2RIbN2402yU2MzMTnTp1wu7du6l76GuiQEgIsRY0\\\n",
       "hpAQQt5xPM9j5syZ+Pfff7F161bI5XJoNBqsWbPGbGgQi8Wws7ODvb09lEqlMHmMjY0NevXqhV69\\\n",
       "eplU33ieh0ajQVpaGp48eYLIyEhcvXoV4eHhePjwIXJycoTK4Pnz57F582bY29ujXbt2GDBgABQK\\\n",
       "Bfbt24cdO3YIlS25XI6lS5di2LBhQpWtR48eWLduHY4fPy5cW6/X49ixY6hevTp8fHyECWYmTZqE\\\n",
       "qKgo6PV6bN68GZUqVRKOYVkW3bp1Q3h4uNnPzNbWFiNHjsS8efNgY2NTrAd+kUiEmjVrYs6cOfjt\\\n",
       "t9/w6NEjYXmMtLQ0vHjxokjrMRruNSkpCZ988gmmTJmCtm3bomnTpkhPT8ehQ4dw69Yti0uGGLwL\\\n",
       "4WXSpEmF6jpLCCGkYBQICSHECvA8jz179sDd3R09evQAx3E4dOiQ0T4MwwhdLitWrAixWIyEhAQA\\\n",
       "L4OIp6cnWrRoAblcbhQqdDod7t+/j6+++kpYHJ7juHwrVDzPIzMzE7t378bu3bvN7mNvb4/evXsb\\\n",
       "dbk0VC7znuu3335DdnY25s2bBzs7O2g0GkgkEvTs2RNNmjRBaGioyfnr168PqVRqFKAUCgXmzJmD\\\n",
       "cePGmYTe4pBIJGjUqBEqVKiAmJgYPHnyBJcvX8aZM2cKDG754Xke6enp+Ouvv/DXX3+9djuJKZpU\\\n",
       "hhBiLSgQEkKIFcnJycG2bduMZhA1dLO0s7ND5cqVUb9+fQQGBoLjOMTExCA6OhoqlQrVqlVDpUqV\\\n",
       "wHGcUO3LyMjAjz/+iGXLliEnJ6dEuylqNBqTSVmysrJw7do1k32Tk5OxadMmREdHo0mTJkhLS8Pt\\\n",
       "27fBsiwaNWpksr9Op0N2djYCAgKQnJwMb29vfPXVV2arn6/DsE5jUFAQvL294eHhgf/++w+ZmZm0\\\n",
       "SPxbjgIhIcRaUCAkhBAr9Gpwe3V20dzcXGg0GlSoUAFBQUFo3749VCoV1Go17O3t4ePjA71ej+zs\\\n",
       "bNy5cwejR4/G7du3i9z1sTCysrJw6NAh9O3bFyKRCLm5ufjmm28QHx9vsi/HcVAqlThy5AiOHj0q\\\n",
       "bGdZFvfu3YNKpULnzp0hlUoRHx+PHTt24OTJkwgKCsKiRYvQsWNHk8pjSWAYBiKRCDY2NpBIJPD2\\\n",
       "9oZSqYRSqSzxa5GSRYGQEGItKBASQkg5w7Is7O3todPpkJubWyJVOY7jkJ2djYcPHyI5ORn29vZo\\\n",
       "1aoVfH19hS6bhuCo1Wrx4MEDfPbZZ7h161apTV5imC3zwIEDqFixIv7++29ERkbmGz4NbXz1vp4/\\\n",
       "f47BgwdDIpEI6wjyPA+RSITg4GBhdtKS9moF1jDpjEKhQGJiYqlXBw0BhSaWKT4KhIQQa0GBkBBC\\\n",
       "yhmFQoGQkBBkZmbi0aNHUCqVwoM/y7Lgeb7YFTu9Xo+UlBQcPnwY06dPNzsTJsuySExMxIMHD0o9\\\n",
       "cOTm5mLr1q2vfR6O40xm5dTpdHj48CESEhLg5eX12tcw0Gq1iI2NBcdx8PT0NJmUJiYmplQ+N5Zl\\\n",
       "UatWLUyaNAm1atWCRqPB9evXsXv3bty4cQNZWVnQ6/WlUs19F1EgJIRYCwqEhBBSzmg0GkRHR4Pj\\\n",
       "OLAsC5lMBolEAk9PT/j4+ODp06d48uRJsatQPM/j+fPn4Hne7IOuSCSCu7v7OzEGTq1W4+uvv8a+\\\n",
       "ffteexF5w/mGDh2KgwcPQiKR4MMPP8ScOXPg6OgIAIiPj8eLFy9e+zp52dvb49ixY2jYsKHRfTRr\\\n",
       "1gyjR4+GSqXCs2fPcOvWLfTr16/Er08IIaT8okBICCHljFqtRmxsrFDBkMlkCA4OxujRo1GlShXs\\\n",
       "378fS5cufa3AptVqLc6CyTAMKlasKCxLUd4dPnwY//77r9HkMzzPQ6VSQSQSFWmSmePHj+PPP/8U\\\n",
       "PvsVK1bgwoULWLt2LVxdXbFy5coS/cxYlkXVqlVx8uRJi1VOlmVha2uLatWqoVq1aiV27XcdVQgJ\\\n",
       "IdaCAiEhhJRDr46V02g0sLGxQWhoKDw8PFC3bt3XfkDlOA7R0dGoXLmy2fft7OzQqFEjHDx40KgL\\\n",
       "IsuykMvlYFkWSqWyXFQRdTod2rRpg7Vr16JVq1Z4/vw5Zs+ejStXrqBTp05YtWoVFApFoc517do1\\\n",
       "o3vmeR7Xr19HmzZtEBQUhKioqGJ32RSLxahatSratWuHatWqwcvLCzVq1EBgYCAkEkmxzkkso0BI\\\n",
       "CLEWFAgJIaSc0+l0uHfvHl68eAE3Nzfk5uZCp9O99nl//PFHtGnTxmxXSr1ej6ZNm+LSpUvIyMgA\\\n",
       "8HIh+UqVKiEkJAQ6nQ4RERGIjY0tkbaUtpycHAwaNAgikQh6vV4I29u3b0fXrl3Rr1+/Qj30t27d\\\n",
       "2mhJD4PMzEzcuHGj2O0Ti8XYsmWLMOMqKX0UCAkh1oICISGEvMXMhQtzkpKS8OWXX6JPnz7466+/\\\n",
       "SiSEHT9+HLNmzcLkyZOhUCiEGUYzMzNx+/ZtPHnyBJ6enrC1tYWDgwMaNWqE999/H5UqVUJOTg6q\\\n",
       "V6+OPXv24MmTJ1CpVML9sCwLnU4nzPZp7p4Zhnnjk58YZiB9lU6nww8//IAePXpAJpMJ+xnGV+YN\\\n",
       "Ao0aNYKTkxPS0tJMzq/X64sdHCpXrlxiYfBdmHl00aJFws9UaaFASAixFhQICSFmabVazJw5EwcP\\\n",
       "HkRUVBQcHR3Rrl07LFy4EN7e3vkeu2LFCvzwww+Ij49HnTp1sGzZMqPxWSqVCp9//jl27NgBtVqN\\\n",
       "jh07YuXKlfDw8Cjt2yp37t79f+3deWxVZf7H8c+9vW1vSzco0FKhtIwswiBLkdJglABaHVZBIUQB\\\n",
       "kUFhigY7MYgKnZ/LoGgAgSImAzoyDCgORlFjZKosCqVDC4LCVGxlCbUb0IXSvef3B+GO97a3K13w\\\n",
       "vF/JTbznPOec5zlW00+/5zzPSaWnp+v555/XyZMn3f4ybxiG0tLSdOLECbdBq6mqq6v1yiuv6LXX\\\n",
       "XpOHh4fjF2QPDw/ZbDbZbDbZ7Xb16NFDsbGxmjFjhiIiIuTl5SXDMDRo0CBNmTJFP/30k65evaru\\\n",
       "3burZ8+e8vf318WLF7Vu3Tpt375dlZWVTtf18vJSjx49dOnSJRUVFbV4HC31ww8/KDMzU/369ZNh\\\n",
       "GLp8+bJOnjypW265RZGRkU4hzcvLS++9954mT55c57+D5s4CGx0dTWWwjREIAZhFy6dUA/CbdPXq\\\n",
       "VaWlpWn58uVKS0vTrl27lJ6ersmTJ9d73Pvvv6/4+HglJCQoLS1NQ4YMUWxsrHJzcx1tnn76ae3e\\\n",
       "vVs7d+7Uvn37lJWVpWnTprX2kG5KAwYM0JQpU3Ts2DHNmzev3raGYaiiouKGV9aqqqpUXl6usrIy\\\n",
       "lZaW6sqVKyooKNDFixeVm5uroqIiDRkyRLfeeqv8/Pzk7e0tu92url27aujQoZo2bZoeeeQRxcbG\\\n",
       "avDgwYqIiFBUVJTefvttTZw4sc5lLUaPHq2ZM2fK39//ho6lOcrKyrRp0yZdvnxZBQUFOnz4sP75\\\n",
       "z3/qs88+q3OCmPvvv1/h4eF1nsvb21s+Pj5N7sO5c+da/O/VMIyb4p1OAEDbIhACqFNgYKD27Nmj\\\n",
       "GTNmqH///ho1apQ2bNig1NRUnTt3zu1xq1ev1oIFCzRv3jwNHDhQmzZtkq+vr7Zs2SJJKiws1ObN\\\n",
       "m7V69WqNHTtWUVFReuedd3Tw4EElJye31fBuOjabTS+88EKTZrxsbdcfsSwuLnYsfeEa7q5XFD08\\\n",
       "PGq9i+jt7a3Y2Nha562urlanTp0UExOjvn37uq2+NKWC0xLXq6+XLl1SWVmZDMOQj4+PY6F7Vx4e\\\n",
       "HrrnnnvqPJenp6fsdnuT+319vcnmKi0tVWpqqv7+9783+xxmc/3nq7EfALhZEQgBNFphYaEsFouC\\\n",
       "goLq3F9RUaHU1FSNHz/esc1qtWr8+PE6dOiQJCk1NVWVlZVObQYMGKDw8HBHG9QtMjJSb775Zof6\\\n",
       "5bOmpkb5+fnKyclp8jp+FotFkyZNqvUoZGVlpfLy8nTnnXdq48aN6t27d61j/f399cQTT2jjxo2a\\\n",
       "OHGivLy8WvW+fPfddzp27JhsNpuGDRumBQsWaOLEibLb7XW2f/bZZ+vsT2VlZbOqdBcuXNDYsWMd\\\n",
       "E/g0Vk1NjRISEhQUFKQ77rhD8+fPb/K1zYpACMAsCIQAGqWsrExLly7VrFmzFBAQUGeb/Px8VVdX\\\n",
       "13oXMCQkRNnZ2ZKuLczt5eVVK1T+uk1dysvLVVRU5PQxo4ULF2rbtm0d6n2yiooKLVu2TFeuXHHb\\\n",
       "xt17cyEhIY5F23/d9siRI+revbtGjBih5ORk9enTx/FLt7e3t7Zu3arExEQtXLhQu3fvVklJiU6d\\\n",
       "OtVqFdQrV65o27Zt8vPz0y233KJBgwYpPDzc7XIPdVVEpWuPYhcUFDT5HU/DMJSSkqKgoCD17du3\\\n",
       "zklr6upzt27d9OKLL7pdUxL1IwwCMAMCIQBJcvyye/1z4MABx77KykrNmDFDhmHorbfeapf+rVy5\\\n",
       "UoGBgY5Pr1692qUfHcGDDz6oRYsWdajHR/Pz87Vs2bI6g051dbWOHz+uXbt26eLFi077rFarhgwZ\\\n",
       "UuuYgoICx4ykXbp0UXR0tNMv3iEhIU6By2azqX///po1a9YNHNX/GIah/fv368qVK/UGAMMwVFpa\\\n",
       "queff77V3tf76aefNGHCBJWUlLhtU15ertmzZ+vSpUut0gczaMsKIeESQHsiEAKQJE2ePFnHjh1z\\\n",
       "fEaMGCHpf2Hw7Nmz2rNnj9vqoCR17dpVHh4eysnJcdqek5Oj0NBQSVJoaKgqKipUUFDgtk1dli1b\\\n",
       "psLCQsfn/PnzzRzpzc9ms+mvf/2rPvjgA913333q0qVLkx/XbA1vv/22UlJSam3/7rvvNG7cOM2a\\\n",
       "NUuDBg3SDz/84Nh3/bFRV+Xl5bp69arj++XLlx0VxsrKSp0+fbrOPrz44ov1vnPYEoWFhVq1apXT\\\n",
       "0hSGYaikpERHjx5VYmKi5s6dq9tuu007duxo0bUacvLkSX3zzTcqLS1VVVWVKioqVFJSory8PKWm\\\n",
       "pmrWrFnavXt3q/bht66tAqG7KjMAtBWWnQAg6do7Wa4zOl4Pg6dPn9bXX3+t4ODges/h5eWlqKgo\\\n",
       "JSUlaerUqZKuvcOUlJSkxYsXS5KioqLk6emppKQkTZ8+XZKUnp6uc+fOKSYmxu25vb29HevAmcn1\\\n",
       "iptr5a1Tp06aNGmS7r//fv3yyy9asmSJdu/e3a6zSFZXV2vs2LE6c+aMunXrJunaz9CSJUsclcGc\\\n",
       "nBxFR0crLS1Nffv2lWEYjsdBfz3GqqoqpaWl6Z577tHFixd1+PBhx76amhp9/PHHmj17dq0+hIWF\\\n",
       "ycfHxylMSlJQUJAeeugh+fr66l//+pcuXLjQrMc2169fLz8/P8XFxclisejLL7/U8uXLdf78+Ta7\\\n",
       "91arVbfddpuqqqp04sQJffvtt/rHP/6hzMxMlZWVqbq6+oYtPWJmbbHsRHx8/A1ZMxQAWoJACKBO\\\n",
       "lZWVevDBB5WWlqZPP/1U1dXVjnf8unTp4nhccdy4cXrggQccgS8+Pl5z587ViBEjNHLkSK1du1Yl\\\n",
       "JSWOJRMCAwM1f/58xcfHq0uXLgoICNCTTz6pmJgYjRo1qn0G24GFhoY6FkEPCAjQuHHjtHTpUvXu\\\n",
       "3VtWq1VeXl4KDw/X+vXrdejQoVrV2bZ29epV3XXXXUpOTpafn59ycnJ04sQJpzYlJSWKjo7Wl19+\\\n",
       "qT59+ujs2bOyWq1OgaqmpkavvvqqgoODtWPHjloV5W+//VY1NTW1KqM2m03z58/X+vXrHdt69eql\\\n",
       "lJQUhYSEyGKx6I033tD+/fs1bdq0Jk/SUlVVpZdfflmrVq2SdO39ybYMXkFBQXrppZc0c+ZM2Ww2\\\n",
       "ffnll3rxxRdr3R+0j7179zpN3DN69Gg99thjbtuvWbNGkhz/jQNAeyAQAqjThQsX9Mknn0iShg4d\\\n",
       "6rTv66+/1pgxYyRJGRkZys/Pd+ybOXOm8vLytGLFCmVnZ2vo0KH64osvnCaaWbNmjaxWq6ZPn+60\\\n",
       "MD1q+/X6jbm5ucrIyFBKSooOHjzomOHSYrEoJCREERERTQqE138BbU6gsVqtbtfF+/HHH7Vu3Tot\\\n",
       "XLhQmZmZdU5oUlBQoHvuuUdTpkzRjz/+WOd5jhw5okWLFikjI6NWHy9duqTKyso6q8arVq3S8ePH\\\n",
       "9d133ykqKkq7du1yetTZZrNp7Nix+vHHH9WvX786Q2F998YwDJWXl9fZ56aw2+3q2bOn7Ha78vLy\\\n",
       "dPnyZVVWVrpdymL69On629/+5qjkG4ahsLAwFRcXt7gvqK05FcLMzExlZmY6tm/ZssVtILx+zIYN\\\n",
       "G1rYUwBoGQIhgDpFREQ0KiicOXOm1rbFixc7KoZ1sdvtSkxMVGJiYku6aEqGYej48ePKyspSnz59\\\n",
       "HNs9PDwUGRnp9GilO9fXBrRarbJYLKqqqmr0445Wq1WjRo3Sgw8+qB07dug///lPrZ+Tmpoabd++\\\n",
       "XRMnTlRJSYnb9xsLCwu1fft2eXh41Bkuy8rKdPLkSVVWVtbaV11drStXrtQZCO12u5KSklReXi67\\\n",
       "3e72+t27d9eGDRs0Z86cWmPo3Lmz7Ha7srKy3N6LlvD19dULL7ygGTNmyMPDQ0ePHtXrr7+u1NTU\\\n",
       "WgHaYrFo1KhReu+995zGa7FY1K9fv1bpH5oXCPv06eP4Y5l0rUJYl+v/7drtdsXFxbWsowDQQgRC\\\n",
       "ALjJVFdXO5ZiuM5isahHjx4NHmuxWGSz2eTl5SWbzSYPDw+VlpY6Flyvj9Vq1YoVK/Tcc8/JZrNp\\\n",
       "3rx56tevn/Ly8mq1zc/PV3FxsTp16iQfHx+3S1JUVla6fd/NMAy3FTPDMOpdSsHDw0O+vr71jkeS\\\n",
       "JkyYIA8PD6f3uKxWq8aMGaNhw4YpISHBbSW0uSwWi0aMGKG5c+eqW7duMgxD3t7eGjZsmNLS0ups\\\n",
       "/9RTT9UZfoOCgmo9but6LO8SNk9zAuGYMWO0efPmBtv//PPPkq790cP1GhaLRUePHq31ZAYAtJb2\\\n",
       "n5YOANBk33//vdN3i8Wizp07N+pYq9Uqm80mm83mmKynMb/4hoSE6JlnnpGnp6csFosCAwN11113\\\n",
       "1dm2qqpKFotFfn5+DQaz+gKLu3036n0rX19f2WzOfxu1Wq0aPny47r777laZAfJ6IAwICJDVapXV\\\n",
       "anXcU3fh010l0MPDo941Kd2th4iGteYso4sWLZKPj4/T5zofHx/CIIA2RYUQADqwplR3li9fruXL\\\n",
       "l7dib5xZLBZ9+OGHDbar67HijsLb21ulpaVu95eVlbVJP7p27aoNGzY0+X0ym81Wb//RfK05y+jG\\\n",
       "jRtrvTd9/RyuM+QCQGvjz4YAAAAAYFJUCAEAAFy0xTqEv8a7ngDaC4EQAADARVsHQgBoLwRCAAAA\\\n",
       "FwRCAGZBIAQAAHBBIARgFgRCAAAAFwRCAGbBLKMAAAAAYFJUCAEAAFxQIQRgFgRCAAAAFwRCAGZB\\\n",
       "IAQAAHBBIARgFgRCAAAAFwRCAGZBIAQAAKgDQQ+AGTDLKAAAAACYFBVCAAAAFzwyCsAsCIQAAAAu\\\n",
       "CIQAzIJACAAA4IJACMAsCIQAAAAuCIQAzIJACAAA4IJACMAsCIQAAAAuCIQAzIJlJwAAAADApKgQ\\\n",
       "AgAAuKBCCMAsCIQAAAAuCIQAzIJACAAA4IJACMAsCIQAAAAuCIQAzIJACAAA4IJACMAsmGUUAAAA\\\n",
       "AEyKCiEAAIALKoQAzIJACAAA4IJACMAsCIQAAAAuCIQAzIJACAAA4IJACMAsCIQAAAAuCIQAzIJZ\\\n",
       "RgEAAADApKgQAgAAuKBCCMAsCIQAAAB1IOgBMAMCIQAAgAsqhADMgkAIAADggkAIwCwIhAAAAC4I\\\n",
       "hADMgkAIAADggkAIwCxYdgIAAAAATIoKIQAAgAsqhADMgkAIAADggkAIwCwIhAAAAC4IhADMgkAI\\\n",
       "AADggkAIwCwIhAAAAC4IhADMgllGAQAAAMCkCIQAAAAurlcIG/tp6bmDgoJaZyAA0AACIQAAgIvW\\\n",
       "DITXderUSXa7XZJUWFio55577kYOAQAahUAIAADgojUDoWEYMgxDV65cUWlpqe68805J0quvvtoa\\\n",
       "QwGAejGpDIDftLKyMr322mvt3Q0AN1BZWVmrX6M5k8rs3btX8+fPd2wfPXq0HnvssQaPP3XqlCQ5\\\n",
       "qoUA0JYIhAB+89ril0cAvy3NCYSZmZnKzMx0bN+yZUuDgfDMmTO6ePGiJOnq1avN7C0ANB+BEAAA\\\n",
       "4Abo06ePxowZ4/g+evToBo+JjIyUJN16662t1S0AqBeBEAAAwEVzKoRjxozR5s2bm3QNSerRo4dO\\\n",
       "nz7d9E4CwA3ApDIAGmXhwoWyWCxau3Ztg20TExMVEREhu92u6OhopaSkOO0vKytTXFycgoOD5efn\\\n",
       "p+nTpysnJ6eVeg4ATdeak8oUFBQ4juncubOysrJaYwgA0CgEQgAN+uijj5ScnKywsLAG277//vuK\\\n",
       "j49XQkKC0tLSNGTIEMXGxio3N9fR5umnn9bu3bu1c+dO7du3T1lZWZo2bVprDgEAmqQ1A2Hnzp0d\\\n",
       "1+jdu7eGDRumYcOGadWqVa0xFACoF4EQQL0uXLigJ598Utu2bZOnp2eD7VevXq0FCxZo3rx5Gjhw\\\n",
       "oDZt2iRfX19t2bJF0rW1tjZv3qzVq1dr7NixioqK0jvvvKODBw8qOTm5tYcDAI3WmmsQSteWnzh2\\\n",
       "7Jjjs3Tp0hvYewBoHAIhALdqamo0e/ZsPfPMMxo0aFCD7SsqKpSamqrx48c7tlmtVo0fP16HDh2S\\\n",
       "JKWmpqqystKpzYABAxQeHu5oAwDtrS3WIazrAwBtjUllALj12muvyWaz6amnnmpU+/z8fFVXVysk\\\n",
       "JMRpe0hIiP773/9KkrKzs+Xl5aWgoKBabbKzs92eu7y8XOXl5Y7vRUVFjRwFAAAA3KFCCECStG3b\\\n",
       "Nvn5+Tk++/bt05tvvql33323RY9E3SgrV65UYGCg49OrV6/27hKA37DWrBACQEdCIAQgSZo8ebLT\\\n",
       "uywHDx5Ubm6uwsPDZbPZZLPZdPbsWf35z39WREREnefo2rWrPDw8as0YmpOTo9DQUElSaGioKioq\\\n",
       "VFBQ4LZNXZYtW6bCwkLH5/z58y0aLwDUh0AIwCx4ZBSAJMnf31/+/v6O748//rgmTZrk1CY2Nlaz\\\n",
       "Z8/WvHnz6jyHl5eXoqKilJSUpKlTp0q69h5iUlKSFi9eLEmKioqSp6enkpKSNH36dElSenq6zp07\\\n",
       "p5iYGLf98/b2lre3d0uGCACN1px1CAHgZkQgBFCn4OBgBQcHO23z9PRUaGio+vfv79g2btw4PfDA\\\n",
       "A47AFx8fr7lz52rEiBEaOXKk1q5dq5KSEkeIDAwM1Pz58xUfH68uXbooICBATz75pGJiYjRq1Ki2\\\n",
       "GyAA1INACMAsCIQAWiQjI0P5+fmO7zNnzlReXp5WrFih7OxsDR06VF988YXTRDNr1qyR1WrV9OnT\\\n",
       "VV5ertjYWG3cuLE9ug8AdSIQAjALAiGARjtz5kyjti1evNhRMayL3W5XYmKiEhMTb2DvAODGIRAC\\\n",
       "MAsmlQEAAAAAk6JCCAAA4IIKIQCzIBACAAC4IBACMAsCIQAAgAsCIQCzIBACAAC4IBACMAsCIQAA\\\n",
       "gAsCIQCzYJZRAAAAADApKoQAAAAuqBACMAsCIQAAgAsCIQCzIBACAAC4IBACMAsCIQAAgAsCIQCz\\\n",
       "IBACAAC4IBACMAtmGQUAAAAAk6JCCOCmZBhGe3cBQAfXkv9PFBcXN7ryV1xc3OzrAEB7IxACuCkV\\\n",
       "Fxfr//7v/9q7GwA6sOLiYgUGBjbpmOHDh2vLli3q1atXk683fPjwJh8DAO3NYvBndgA3oZqaGmVl\\\n",
       "Zcnf39/U7+8UFRWpV69eOn/+vAICAtq7O+2G+3AN9+EawzBUXFyssLAwWa1NfzsmMTFRaWlpTTpm\\\n",
       "+PDhiouLa/K1AKC9EQgB4CZWVFSkwMBAFRYWmjoAcB+u4T4AAJqKSWUAAAAAwKQIhAAAAABgUgRC\\\n",
       "ALiJeXt7KyEhQd7e3u3dlXbFfbiG+wAAaCreIQQAAAAAk6JCCAAAAAAmRSAEAAAAAJMiEAIAAACA\\\n",
       "SREIAaADqays1NKlSzV48GB16tRJYWFhmjNnjrKysho8NjExUREREbLb7YqOjlZKSorT/rKyMsXF\\\n",
       "xSk4OFh+fn6aPn26cnJyWmsoLdLQWFzt3LlTAwYMkN1u1+DBg/X555877TcMQytWrFCPHj3k4+Oj\\\n",
       "8ePH6/Tp0605hBZbuXKl7rjjDvn7+6t79+6aOnWq0tPTGzzut3gvAACth0AIAB3I1atXlZaWpuXL\\\n",
       "lystLU27du1Senq6Jk+eXO9x77//vuLj45WQkKC0tDQNGTJEsbGxys3NdbR5+umntXv3bu3cuVP7\\\n",
       "9u1TVlaWpk2b1tpDarLGjOXXDh48qFmzZmn+/Pk6evSopk6dqqlTp+r77793tFm1apXWrVunTZs2\\\n",
       "6fDhw+rUqZNiY2NVVlbWVsNqsn379ikuLk7Jycnas2ePKisrde+996qkpMTtMb/VewEAaEUGAKBD\\\n",
       "S0lJMSQZZ8+eddtm5MiRRlxcnON7dXW1ERYWZqxcudIwDMMoKCgwPD09jZ07dzranDp1ypBkHDp0\\\n",
       "qPU63wwNjcXVjBkzjAkTJjhti46ONp544gnDMAyjpqbGCA0NNV5//XXH/oKCAsPb29vYvn17K4yg\\\n",
       "deTm5hqSjH379rltY5Z7AQC4cagQAkAHV1hYKIvFoqCgoDr3V1RUKDU1VePHj3dss1qtGj9+vA4d\\\n",
       "OiRJSk1NVWVlpVObAQMGKDw83NGmI2jMWFwdOnTIqb0kxcbGOtr//PPPys7OdmoTGBio6OjoDjX2\\\n",
       "hhQWFkqSunTp4raNWe4FAODGIRACQAdWVlampUuXatasWQoICKizTX5+vqqrqxUSEuK0PSQkRNnZ\\\n",
       "2ZKk7OxseXl51QqVv27TETRmLK6ys7MbHPv1bY09Z0dTU1OjJUuWaPTo0fr973/vtp0Z7gUA4MYi\\\n",
       "EAJAO9q2bZv8/PwcnwMHDjj2VVZWasaMGTIMQ2+99VY79hLtLS4uTt9//7127NjR3l0BAPzG2Nq7\\\n",
       "AwBgZpMnT1Z0dLTj+y233CLpf2Hw7Nmz+uqrr9xWByWpa9eu8vDwqDVjaE5OjkJDQyVJoaGhqqio\\\n",
       "UEFBgVOV8NdtOoLGjMVVaGhog2O/vq1Hjx5ObYYOHXoDe986Fi9erE8//VT79+9Xz5496237W78X\\\n",
       "AIAbjwohALQjf39/3XrrrY6Pj4+PIwyePn1a//73vxUcHFzvOby8vBQVFaWkpCTHtpqaGiUlJSkm\\\n",
       "JkaSFBUVJU9PT6c26enpOnfunKNNR9CYsbiKiYlxai9Je/bscbSPjIxUaGioU5uioiIdPny4Q43d\\\n",
       "lWEYWrx4sT766CN99dVXioyMbPCY3+q9AAC0ovae1QYA8D8VFRXG5MmTjZ49exrHjh0zfvnlF8en\\\n",
       "vLzc0W7s2LHG+vXrHd937NhheHt7G++++65x8uRJ4/HHHzeCgoKM7OxsR5uFCxca4eHhxldffWUc\\\n",
       "OXLEiImJMWJiYtp0fI3R0Fhmz55tPPvss4723377rWGz2Yw33njDOHXqlJGQkGB4enoaJ06ccLR5\\\n",
       "9dVXjaCgIOPjjz82jh8/bkyZMsWIjIw0SktL23x8jbVo0SIjMDDQ2Lt3r9PPwdWrVx1tzHIvAACt\\\n",
       "h0AIAB3Izz//bEiq8/P111872vXu3dtISEhwOnb9+vVGeHi44eXlZYwcOdJITk522l9aWmr86U9/\\\n",
       "Mjp37mz4+voaDzzwgPHLL7+0waiarr6x3H333cbcuXOd2n/wwQdGv379DC8vL2PQoEHGZ5995rS/\\\n",
       "pqbGWL58uRESEmJ4e3sb48aNM9LT09tiKM3m7ufgnXfecbQxy70AALQei2EYRvvUJgEAAAAA7Yl3\\\n",
       "CAEAAADApAiEAAAAAGBSBEIAAAAAMCkCIQAAAACYFIEQAAAAAEyKQAgAAAAAJkUgBAAAAACTIhAC\\\n",
       "AAAAgEkRCAEAN4XNmzfr3nvvbfXrfPHFFxo6dKhqampa/VoAALQ3AiEAoMMrKyvT8uXLlZCQ0OrX\\\n",
       "uu++++Tp6alt27a1+rUAAGhvBEIAQIf34YcfKiAgQKNHj26T6z366KNat25dm1wLAID2RCAEALSZ\\\n",
       "vLw8hYaG6q9//atj28GDB+Xl5aWkpCS3x+3YsUOTJk1y2jZmzBgtWbLEadvUqVP16KOPOr5HRETo\\\n",
       "5Zdf1pw5c+Tn56fevXvrk08+UV5enqZMmSI/Pz/dfvvtOnLkiNN5Jk2apCNHjigjI6P5gwUA4CZA\\\n",
       "IAQAtJlu3bppy5Yt+stf/qIjR46ouLhYs2fP1uLFizVu3Di3x33zzTcaMWJEs665Zs0ajR49WkeP\\\n",
       "HtWECRM0e/ZszZkzR4888ojS0tL0u9/9TnPmzJFhGI5jwsPDFRISogMHDjTrmgAA3CwIhACANvWH\\\n",
       "P/xBCxYs0MMPP6yFCxeqU6dOWrlypdv2BQUFKiwsVFhYWLOv98QTT6hv375asWKFioqKdMcdd+ih\\\n",
       "hx5Sv379tHTpUp06dUo5OTlOx4WFhens2bPNuiYAADcLAiEAoM298cYbqqqq0s6dO7Vt2zZ5e3u7\\\n",
       "bVtaWipJstvtzbrW7bff7vjnkJAQSdLgwYNrbcvNzXU6zsfHR1evXm3WNQEAuFkQCAEAbS4jI0NZ\\\n",
       "WVmqqanRmTNn6m0bHBwsi8Wiy5cvN3je6urqWts8PT0d/2yxWNxuc11m4tKlS+rWrVuD1wQA4GZG\\\n",
       "IAQAtKmKigo98sgjmjlzpl566SX98Y9/rFWd+zUvLy8NHDhQJ0+erLXP9THPzMzMG9LHsrIyZWRk\\\n",
       "aNiwYTfkfAAAdFQEQgBAm3r++edVWFiodevWaenSperXr58ee+yxeo+JjY3VN998U2v7xx9/rF27\\\n",
       "dikjI0OvvPKKTp48qbNnz+rChQst6mNycrK8vb0VExPTovMAANDREQgBAG1m7969Wrt2rbZu3aqA\\\n",
       "gABZrVZt3bpVBw4c0FtvveX2uPnz5+vzzz9XYWGh0/YJEyZo1apVGjhwoPbv36+NGzcqJSVFW7du\\\n",
       "bVE/t2/frocffli+vr4tOg8AAB2dxfj1PNsAAHRQDz30kIYPH65ly5ZJurYO4dChQ7V27dobep38\\\n",
       "/Hz1799fR44cUWRk5A09NwAAHQ0VQgDATeH111+Xn59fq1/nzJkz2rhxI2EQAGAKVAgBADel1qoQ\\\n",
       "AgBgJgRCAAAAADApHhkFAAAAAJMiEAIAAACASREIAQAAAMCkCIQAAAAAYFIEQgAAAAAwKQIhAAAA\\\n",
       "AJgUgRAAAAAATIpACAAAAAAmRSAEAAAAAJMiEAIAAACASREIAQAAAMCkCIQAAAAAYFIEQgAAAAAw\\\n",
       "KQIhAAAAAJjU/wOwQ4M/bMDNFwAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[15] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAoCVJREFUeJzs3XdUFNffBvBntrIsvTcBRRR7xYrdxK6oMYmxx9hNbLEnthSM\\\n",
       "xpbYe+wlJhpLLNgVK2r8iQ0VBUEQ6WXZNvP+4dl5XXaXjoD7/ZyzJzJ7586dBeM83MZwHMeBEEII\\\n",
       "IYQQQojZEZR1AwghhBBCCCGElA0KhIQQQgghhBBipigQEkIIIYQQQoiZokBICCGEEEIIIWaKAiEh\\\n",
       "hBBCCCGEmCkKhIQQQgghhBBipigQEkIIIYQQQoiZokBICCGEEEIIIWaKAiEhhBBCCCGEmCkKhIQQ\\\n",
       "QgghhBBipigQEkIIIYQQQoiZokBICCGEEEIIIWaKAiEhhBBCCCGEmCkKhIQQQgghhBBipigQEkII\\\n",
       "KZJz586BYRicO3eurJtCStj169chkUjw4sWL937tpKQkyOVyHDt27L1fmxBCzBEFQkIIIXlavXo1\\\n",
       "tm7dWtbNKJJdu3Zh+fLlZd0MAADLsli0aBEqV64MCwsL1K1bF7t37y7w+ampqRg5ciScnZ0hl8vR\\\n",
       "rl073Lp1y6Dc3r17MXDgQPj7+4NhGLRt27bQbZ09ezb69+8PHx+fQp9bXI6Ojvjqq6/w/fffv/dr\\\n",
       "E0KIOWI4juPKuhGEEELKr9q1a8PJycmgJ5BlWahUKkgkEggE5fP3i927d8e9e/fw/Pnzsm4KZs6c\\\n",
       "iYULF2LEiBEIDAzEoUOHcPToUezevRuff/55nueyLItWrVrhv//+w9SpU+Hk5ITVq1cjJiYG4eHh\\\n",
       "8Pf358u2bdsW4eHhCAwMxJ07d1C3bt1C9eLeuXMHDRo0QFhYGJo3b17U2y2WBw8eoGbNmjh9+jTa\\\n",
       "t29fJm0ghBBzQYGQEEIKICsrC3K5vKybUSZMBcKKoLwEwtjYWFSuXBkjR47EypUrAQAcx6FNmzaI\\\n",
       "iorC8+fPIRQKTZ6/b98+fPbZZ9i/fz8++eQTAEBiYiKqVauGLl26YNeuXXzZmJgYeHp6QiAQFOl7\\\n",
       "N2HCBBw8eBDPnz8HwzBFu+ESUKdOHTRo0ADbtm0rszYQQog5KJ+/0iWEkFIUGxuL4cOHw8PDA1Kp\\\n",
       "FJUrV8aYMWOgUqkAAFu3bgXDMDh//jzGjh0LFxcXeHl58eevXr0atWrVglQqhYeHB8aNG4fU1FS9\\\n",
       "a0RGRqJv375wc3ODhYUFvLy88PnnnyMtLY0vc+rUKQQFBcHOzg5WVlaoXr06Zs2alW/7C3KeUqnE\\\n",
       "3LlzUbVqVUilUlSqVAnTpk2DUqk0qG/Hjh1o0qQJLC0tYW9vj9atW+PkyZMAAF9fX0REROD8+fNg\\\n",
       "GEZvCKKpOYT79+9Ho0aNIJPJ4OTkhIEDByI2NlavzNChQ2FlZYXY2FgEBwfDysoKzs7O+Pbbb6HV\\\n",
       "avP9DA4dOoRu3brx30M/Pz/88MMPeue2bdsWR48exYsXL/i2+/r6mqxz6NChfLncr3nz5uXbpvza\\\n",
       "q1arMXbsWP4YwzAYM2YMXr58iStXruR5/p9//glXV1f06dOHP+bs7IxPP/0Uhw4d0vu+VqpUqVg9\\\n",
       "tgcPHkT79u0NwqCpz8HX1xdDhw7lv9b9/bl06RK++eYbODs7w87ODqNGjYJKpUJqaioGDx4Me3t7\\\n",
       "2NvbY9q0aTD2u+mPPvoIhw8fNvoeIYSQkiMq6wYQQsj7FBcXhyZNmvDzsQICAhAbG4s///wT2dnZ\\\n",
       "kEgkfNmxY8fC2dkZc+bMQVZWFgBg3rx5mD9/Pjp27IgxY8bg0aNHWLNmDW7cuIHLly9DLBZDpVKh\\\n",
       "U6dOUCqV+Prrr+Hm5obY2FgcOXIEqampsLW1RUREBLp37466detiwYIFkEqlePLkCS5fvpxn+wty\\\n",
       "Hsuy6NmzJy5duoSRI0eiRo0a+N///odly5bh8ePHOHjwIF92/vz5mDdvHlq0aIEFCxZAIpHg2rVr\\\n",
       "OHPmDD7++GMsX74cX3/9NaysrDB79mwAgKurq8n2bd26FcOGDUNgYCBCQkKQkJCAFStW4PLly7h9\\\n",
       "+zbs7Oz4slqtFp06dULTpk3x66+/IjQ0FEuWLIGfnx/GjBmT5+ewdetWWFlZYfLkybCyssKZM2cw\\\n",
       "Z84cpKenY/HixQDezoNLS0vDy5cvsWzZMgCAlZWVyTpHjRqFjh076h07fvw4du7cCRcXF/7Ymzdv\\\n",
       "8mybjrW1NaRSKQDg9u3bkMvlqFGjhl6ZJk2a8O8HBQWZrOv27dto2LChQdBr0qQJ1q9fj8ePH6NO\\\n",
       "nToFaldeYmNjER0djYYNGxa7Lt3P/vz583H16lWsX78ednZ2CAsLg7e3N37++WccO3YMixcvRu3a\\\n",
       "tTF48GC98xs1aoRly5YhIiICtWvXLnZ7CCGEmMARQogZGTx4MCcQCLgbN24YvMeyLMdxHLdlyxYO\\\n",
       "ABcUFMRpNBr+/devX3MSiYT7+OOPOa1Wyx9fuXIlB4DbvHkzx3Ecd/v2bQ4At3//fpPtWLZsGQeA\\\n",
       "S0xMLFT7C3Le9u3bOYFAwF28eFHv+Nq1azkA3OXLlzmO47jIyEhOIBBwvXv31rsfjvv/z4LjOK5W\\\n",
       "rVpcmzZtDK5z9uxZDgB39uxZjuM4TqVScS4uLlzt2rU5hULBlzty5AgHgJszZw5/bMiQIRwAbsGC\\\n",
       "BXp1NmjQgGvUqFHeHwLHcdnZ2QbHRo0axVlaWnI5OTn8sW7dunE+Pj751mdMZGQkZ2try3300Ud6\\\n",
       "PwcACvTasmWLXjuqVKlicI2srCwOADdjxow82yKXy7kvv/zS4PjRo0c5ANzx48eNnmfqe2dKaGgo\\\n",
       "B4A7fPiwwXsAuLlz5xoc9/Hx4YYMGcJ/rfv706lTJ72fo+bNm3MMw3CjR4/mj2k0Gs7Ly8toG8PC\\\n",
       "wjgA3N69ewvcfkIIIYVHQ0YJIWaDZVkcPHgQPXr0QOPGjQ3ezz1EbsSIEXrzukJDQ6FSqTBx4kS9\\\n",
       "npoRI0bAxsYGR48eBQDY2toCAE6cOIHs7GyjbdH1lB06dAgsyxb4Hgpy3v79+1GjRg0EBATgzZs3\\\n",
       "/Eu3OMfZs2cBvB0ayLIs5syZY9DzVJS5Yzdv3sTr168xduxYWFhY8Me7deuGgIAA/vN51+jRo/W+\\\n",
       "btWqFZ49e5bvtWQyGf/njIwMvHnzBq1atUJ2djYePnxY6LbnlpWVhd69e8Pe3h67d+/W+zk4depU\\\n",
       "gV6dOnXiz1EoFHxv4bt0n5NCocizPcU9v6CSkpIAAPb29sWua/jw4Xo/R02bNgXHcRg+fDh/TCgU\\\n",
       "onHjxka/57o2FLRHlhBCSNHQkFFCiNlITExEenp6gYefVa5cWe9r3Z5s1atX1zsukUhQpUoV/v3K\\\n",
       "lStj8uTJWLp0KXbu3IlWrVqhZ8+eGDhwIB8WP/vsM2zcuBFfffUVZsyYgQ4dOqBPnz745JNP8pz/\\\n",
       "VZDzIiMj8eDBAzg7Oxut4/Xr1wCAp0+fQiAQoGbNmgX6PPJj6vMBgICAAFy6dEnvmIWFhUEb7e3t\\\n",
       "kZKSku+1IiIi8N133+HMmTNIT0/Xe+/deZpFNWLECDx9+hRhYWFwdHTUey/3sNKCkMlkRudv5uTk\\\n",
       "8O+X5vmFxZXAvD1vb2+9r3U/+5UqVTI4bux7rmtDWS5sQwgh5oACISGEmFCch+wlS5Zg6NChOHTo\\\n",
       "EE6ePIlvvvkGISEhuHr1Kry8vCCTyXDhwgWcPXsWR48exfHjx7F37160b98eJ0+eNLniZEHOY1kW\\\n",
       "derUwdKlS43WkfuBvKzktapmXlJTU9GmTRvY2NhgwYIF8PPzg4WFBW7duoXp06cXqsfVmBUrVmD3\\\n",
       "7t3YsWMH6tevb/B+fHx8geqxtbXlf4bc3d1x9uxZcBynF3BevXoFAPDw8MizLnd3d77suwp6fkHp\\\n",
       "wm9BQrmOqfBo6vtr7LixOnRtcHJyKnBbCCGEFB4NGSWEmA1nZ2fY2Njg3r17RTpft0n3o0eP9I6r\\\n",
       "VCpERUUZbOJdp04dfPfdd7hw4QIuXryI2NhYrF27ln9fIBCgQ4cOWLp0Ke7fv4+ffvoJZ86c4Yd0\\\n",
       "mpLfeX5+fkhOTkaHDh3QsWNHg5euB8/Pzw8sy+L+/ft5Xq+gPTSmPh/dsZLa5PzcuXNISkrC1q1b\\\n",
       "MWHCBHTv3h0dO3Y0OsyxsL1LFy9exLfffouJEydiwIABRsu4u7sX6LV3717+nPr16yM7OxsPHjzQ\\\n",
       "q+vatWv8+3mpX78+bt26ZRB2r127BktLS1SrVq1Q92lKQEAAACAqKsro+xkZGQbHdD3OJU3XhtwL\\\n",
       "8RBCCClZFAgJIWZDIBAgODgYhw8fxs2bNw3ez2+YXMeOHSGRSPDbb7/pld20aRPS0tLQrVs3AEB6\\\n",
       "ejo0Go3euXXq1IFAIOCH/SUnJxvUrwsFxoYG6hTkvE8//RSxsbHYsGGDQVmFQsGvmBocHAyBQIAF\\\n",
       "CxYYBI13708ulxtsq2FM48aN4eLigrVr1+rdw7///osHDx7wn09x6XqY3m2jSqXC6tWrDcrK5fIC\\\n",
       "DyF99eoVPv30UwQFBfErlRpTlDmEvXr1glgs1msjx3FYu3YtPD090aJFC712PHz4EGq1mj/2ySef\\\n",
       "ICEhAX/99Rd/7M2bN9i/fz969OhhdH5hUXh6eqJSpUpG/34AMNhi5N9//0VOTk6pbA0RHh4OW1tb\\\n",
       "1KpVq8TrJoQQ8v9oyCghxKz8/PPPOHnyJNq0acNvyfDq1Svs378fly5d0tsWITdnZ2fMnDkT8+fP\\\n",
       "R+fOndGzZ088evQIq1evRmBgIAYOHAgAOHPmDMaPH49+/fqhWrVq0Gg02L59O4RCIfr27QsAWLBg\\\n",
       "AS5cuIBu3brBx8cHr1+/xurVq+Hl5ZXn9gMFOW/QoEHYt28fRo8ejbNnz6Jly5bQarV4+PAh9u3b\\\n",
       "hxMnTqBx48aoWrUqZs+ejR9++AGtWrVCnz59IJVKcePGDXh4eCAkJATA2+X/16xZgx9//BFVq1aF\\\n",
       "i4sLv0DNu8RiMX755RcMGzYMbdq0Qf/+/fltJ3x9fTFp0qSiftv0tGjRAvb29hgyZAi++eYbMAyD\\\n",
       "7du3Gw0ljRo1wt69ezF58mQEBgbCysoKPXr0MFrvN998g8TEREybNg179uzRe69u3bqoW7cugKLN\\\n",
       "IfTy8sLEiROxePFiqNVqBAYG4uDBg7h48SJ27typN4xy5syZ+OOPPxAVFcXvm/jJJ5+gWbNmGDZs\\\n",
       "GO7fvw8nJyesXr0aWq0W8+fP17vWhQsXcOHCBQBv581mZWXhxx9/BAC0bt0arVu3zrOtvXr1wt9/\\\n",
       "/20wvBUAHjx4gK5du6Jnz56Ii4vDihUrYGtri7CwMOzevRv9+/cv9GdjyqlTp9CjRw+aQ0gIIaWt\\\n",
       "LJY2JYSQsvTixQtu8ODBnLOzMyeVSrkqVapw48aN45RKJcdx/79svrGtKTju7TYTAQEBnFgs5lxd\\\n",
       "XbkxY8ZwKSkp/PvPnj3jvvzyS87Pz4+zsLDgHBwcuHbt2nGhoaF8mdOnT3O9evXiPDw8OIlEwnl4\\\n",
       "eHD9+/fnHj9+nGfbC3qeSqXifvnlF65WrVqcVCrl7O3tuUaNGnHz58/n0tLS9Mpu3ryZa9CgAV+u\\\n",
       "TZs23KlTp/j34+PjuW7dunHW1tYcAH6LgNzbTujs3buXr8/BwYEbMGAA9/LlS70yQ4YM4eRyucH9\\\n",
       "zZ07lyvIP02XL1/mmjVrxslkMs7Dw4ObNm0ad+LECYP2ZGZmcl988QVnZ2fHAchzC4o2bdqY3ELC\\\n",
       "2HYLhaXVarmff/6Z8/Hx4SQSCVerVi1ux44dBuV0W3JERUXpHU9OTuaGDx/OOTo6cpaWllybNm2M\\\n",
       "/ozqPsOi3setW7c4AAbblgDgJk+ezPXr14+TyWScu7s7t3LlSm7t2rWcpaUl99VXX3EcZ/rvj65d\\\n",
       "ubdMMfaz8ODBAw6A3t8ZQgghpYPhuFIY50EIIYSQCqtDhw7w8PDA9u3b+WMMw2Du3LmYN29eqV9/\\\n",
       "4sSJuHDhAsLDw6mHkBBCShnNISSEEEKInp9//hl79+7ltxJ5n5KSkrBx40b8+OOPFAYJIeQ9oDmE\\\n",
       "hBBCCNHTtGlTqFSqMrm2o6MjMjMzy+TahBBijqiHkBBCCCGEEELMFPUQEkIIISRftOQAIYR8mKiH\\\n",
       "kBBCCCGEEELMFAVCQgghhBBCCDFTNGSUEFIhsSyLuLg4WFtb00qEhBA9HMchIyMDHh4eEAgK/7vv\\\n",
       "5cuXIzw8vFDnNGrUCBMnTiz0tQghpKxRICSEVEhxcXHYuHFjWTeDEFJOzZ8/HzExMfDy8irUecuX\\\n",
       "L8ekSZMKfb0dO3YAAIVCQkiFQ4GQEFIhWVtbAwD1DhJCTNL9f6IwCtszWNRzjf2/S7dwz6FDhxAc\\\n",
       "HGzwvr+/Px4/flzk9hFCiDE0h5AQUiFRECSE5Ke4/59gGKZAr5K2a9cu/s9WVlb8NSIjI0v8WoQQ\\\n",
       "QoGQEEIIISSXgobBooZCjuP4V2579+7l38vIyADLshAKhQBQ6CGwhBCSHxoySgghhBCSS2GDHsdx\\\n",
       "uHDhAgYNGsQfCwoKwqhRo0qkPVqtFgDQrl27EqmPEEJ0KBASQgghhORSlJ6/6OhofnEZ4O1CMyUR\\\n",
       "CJcvX87/efv27cWujxBC3kWBkBBCCCEkl6IEQm9vb7Ru3Zr/OigoqNjtOHToEL/q6cCBA4tdHyGE\\\n",
       "5EaBkBBCCCEkl6IEwtatW5doD967q422bduWegcJIaWCFpUhhBBCCCln3g2DTZs2xdmzZ8u2QYSQ\\\n",
       "DxYFQkIIIYSQXEp7ldHx48dDIpFAIpHwxyQSCby8vPTCoEQiQWZmJmrXro3atWvrzVEkhJCSQENG\\\n",
       "CSGEEEJyKa09BnVWrVplcEytViM2NhYjR47kj6lUKkRERPBfDxo0iOYSEkJKFAVCQgghhJBcSjsQ\\\n",
       "Gtt/kBBCygIFQkIIIYSQXEo7EBJCSHlBgZAQQgghJBcKhIQQc0GLyhBCCCGEEEKImaIeQkIIIYSQ\\\n",
       "XKiHkBBiLqiHkBBSYAsXLgTDMJg4cWKe5fbv34+AgABYWFigTp06OHbsmN77HMdhzpw5cHd3h0wm\\\n",
       "Q8eOHREZGVmKLSeEkMIp7W0nCCGkvKBASAgpkBs3bmDdunWoW7dunuXCwsLQv39/DB8+HLdv30Zw\\\n",
       "cDCCg4Nx7949vsyiRYvw22+/Ye3atbh27Rrkcjk6deqEnJyc0r4NQggpEAqEhBBzQYGQEJKvzMxM\\\n",
       "DBgwABs2bIC9vX2eZVesWIHOnTtj6tSpqFGjBn744Qc0bNgQK1euBPC2d3D58uX47rvv0KtXL9St\\\n",
       "Wxfbtm1DXFwcDh48+B7uhhBC8keBkBBiLigQEkLyNW7cOHTr1g0dO3bMt+yVK1cMynXq1AlXrlwB\\\n",
       "AERFRSE+Pl6vjK2tLZo2bcqXMUapVCI9PV3vRQghpYUCISHEXFAgJITkac+ePbh16xZCQkIKVD4+\\\n",
       "Ph6urq56x1xdXREfH8+/rztmqowxISEhsLW15V+VKlUqzG0QQgghhBAjKBASQkyKiYnBhAkTsHPn\\\n",
       "TlhYWJRpW2bOnIm0tDT+FRMTU6btIYR82KiHkBBiLmjbCUKISeHh4Xj9+jUaNmzIH9Nqtbhw4QJW\\\n",
       "rlwJpVIJoVCod46bmxsSEhL0jiUkJMDNzY1/X3fM3d1dr0z9+vVNtkUqlUIqlRb3lgghpEAo6BFC\\\n",
       "zAX1EBJCTOrQoQP+97//4c6dO/yrcePGGDBgAO7cuWMQBgGgefPmOH36tN6xU6dOoXnz5gCAypUr\\\n",
       "w83NTa9Meno6rl27xpchhJDygHoHCSHmgHoICSEmWVtbo3bt2nrH5HI5HB0d+eODBw+Gp6cnP8dw\\\n",
       "woQJaNOmDZYsWYJu3bphz549uHnzJtavXw8A/D6GP/74I/z9/VG5cmV8//338PDwQHBw8Hu9P0II\\\n",
       "MaUwYY9CISGkIqNASAgplujoaAgE/z/YoEWLFti1axe+++47zJo1C/7+/jh48KBesJw2bRqysrIw\\\n",
       "cuRIpKamIigoCMePHy/zeYqEEKJDgZAQYi4oEBJCCuXcuXN5fg0A/fr1Q79+/UzWwTAMFixYgAUL\\\n",
       "FpRw6wghpGRQICSEmAuaQ0gIIYQQQgghZop6CAkhhBBCcqEeQkKIuaBASAj54EkkkrJuAiGkBKlU\\\n",
       "qlK/BgVCQoi5oEBICPmgSSQSzJw5s6ybQQgpQSEhIaUeCikQEkLMBQVCQgghhJBcKBASQswFBUJC\\\n",
       "CCGEkFwoEBJCzAWtMkoIIYQQQgghZop6CAkhhBBCcqEeQkKIuaBASAghhBCSCwVCQoi5oEBICCGE\\\n",
       "EJILBUJCiLmgQEgIIYQQkgsFQkKIuaBASAghhBCSCwVCQoi5oFVGCSGEEEIIIcRMUQ8hIYQQQkgu\\\n",
       "1ENICDEXFAgJIYQQQnKhQEgIMRcUCAkhhBBCcqFASAgxFxQICSGEEEJyoUBICDEXFAgJIYQQQoyg\\\n",
       "oEcIMQe0yighhBBCCCGEmCnqISSEEEIIyYWGjBJCzAUFQkIIIYSQXCgQEkLMBQVCQgghhJBcKBAS\\\n",
       "QswFBUJCCCGEkFwoEBJCzAUFQkIIIYSQXCgQEkLMBQVCQgghhJBcKBASQswFbTtBCCGEEEIIIWaK\\\n",
       "eggJIYQQQnKhHkJCiLmgQEgIIYQQkgsFQkKIuaAho4QQQgghuegCYUFfJVH/u1JSUgzet7W1Lanb\\\n",
       "I4QQHgVCQgghhJBcSjsQ5sfBwYH/s0QiAQCkp6dj+fLlJX4tQoh5o0BICCGEEJJLaQdCjuP4V24p\\\n",
       "KSl65ZRKJT799FMAwKRJk4p+U4QQYgQFQkIIIYSQcsTf3x8AIBaL+WN79+4tq+YQQj5wtKgMIYQQ\\\n",
       "QkguRVlU5sKFCxg0aBB/PCgoCKNGjSr0tZOTkwEAVatWLfS5hBBSWBQICSGEEEJyKUogjI6Oxo4d\\\n",
       "O/jjO3bsKFIgJISQ94kCISGEEEJILkUJhN7e3mjdujV/PCgoqEjXdnBwQFJSEp48eVKk8wkhpDAo\\\n",
       "EBJCCCGE5FKUQNi6dWts37692NeOjIyEg4MD1Go1f+zdoaiEEFKSaFEZQgghhJBcSnuV0fHjx0Mi\\\n",
       "kfBbSgBvt5fw8vKCvb29XjssLCz4oajLli0r/s0RQsg7KBASQgghhLxnq1atglqt1usFVKvViI2N\\\n",
       "BfD/C8sAgFKpBABYW1tj4sSJ77WdhJAPHw0ZJYQQQgjJpShDRgvD2P6D77K3t8+3DCGElAQKhIQQ\\\n",
       "QgghRhQl6BFCSEVDgZAQQgghJJfS7iEkhJDyggIhIYQQQkguFAgJIeaCAiEhhBBCSC4UCAkh5oIC\\\n",
       "ISGEEEJILhQICSHmgradIIQQQgghhBAzRT2EhBBCCCG5UA8hIcRcUCAkhBBCCMmFAiEhxFxQICSE\\\n",
       "EEIIyYUCISHEXFAgJIQQQgjJhQIhIcRcUCAkhBBCCMmFAiEhxFzQKqOEEEIIIYQQYqYoEBJCSDmm\\\n",
       "66V49xUcHFzWzXqvYmJi0LBhQ4jFYqOfR14vNze3POvWarXo168fxGIxBAJBoesv7svd3R0rV67E\\\n",
       "9u3bUbt27ffSBlIw9LkSQswFDRklhJAKpm3btmXdhPcqJSUFUVFR0Gg0hT7X29s7z/e1Wi0eP34M\\\n",
       "rVYLjuOK2sQiS0xMxK+//goHBwc8f/68TNpAjKMho4QQc0GBkBBCyjGBQACO48BxHBiGgZ2dHYYM\\\n",
       "GVLWzXqvYmNjkZGRUaRzv/322zzfT0xMRGRkZJkFMa1WixcvXiA6OprCYDlDgZAQYi4oEBJCSDk2\\\n",
       "cuRIpKSkIDExEVWqVMGcOXNgb29f1s16rywsLMCyrNH3rK2t4eTkhMTEROTk5Oj1Ijo5OeU5vJbj\\\n",
       "OMyYMQMKhaLQbWIYBkKhsEi9lqbaQsoXCoSEEHNBcwgJISaFhIQgMDAQ1tbWcHFxQXBwMB49epTv\\\n",
       "efv370dAQAAsLCxQp04dHDt2TO99juMwZ84cuLu7QyaToWPHjoiMjCyt26jQVq9ejd27dyM0NBQb\\\n",
       "NmxApUqVyrpJ712DBg0gFosNjtevXx9xcXF4+vQp0tLSkJ2djf/++w+TJk3CTz/9hMjISEgkEpP1\\\n",
       "hoeHY/fu3YVuj0gkwsKFC/Hw4UOsX78eMpms0HWQ8o/mEBJCzAUFQkKISefPn8e4ceNw9epVnDp1\\\n",
       "Cmq1Gh9//DGysrJMnhMWFob+/ftj+PDhuH37NoKDgxEcHIx79+7xZRYtWoTffvsNa9euxbVr1yCX\\\n",
       "y9GpUyfk5OS8j9uqUOiBE7Czs8Mvv/wCoVAI4O1nEhgYiBs3bsDKygoMw0AgEEAsFqNu3bpYunQp\\\n",
       "Zs2aBTs7O5N1Xrt2DS1atIBWqy1UWxiGwf79+zFt2jT4+flhxIgReP36NVxcXIpziyXK2toa33//\\\n",
       "PebPnw8bG5uybg4hhJByjoaMEkJMOn78uN7XW7duhYuLC8LDw9G6dWuj56xYsQKdO3fG1KlTAQA/\\\n",
       "/PADTp06hZUrV2Lt2rXgOA7Lly/Hd999h169egEAtm3bBldXVxw8eBCff/556d4Uee8UCgXS0tLg\\\n",
       "5OQEkaho/+xMnDgR/fr1w/nz59GwYUNUq1YNAkHhfqfJsiySk5PRv39/nD59ukjDNH18fPifWx0r\\\n",
       "Kys8fPgQbm5uUKlUha6zJH388cc4evQo/zmPHz8eXl5eRRoWa+5oyCghxFxQDyEhpMDS0tIAAA4O\\\n",
       "DibLXLlyBR07dtQ71qlTJ1y5cgUAEBUVhfj4eL0ytra2aNq0KV/GGKVSifT0dL0XKd84jsPcuXNh\\\n",
       "Y2MDDw8P+Pj4IDs7u8j1eXp64osvvkBAQEChwqBCocDs2bPh5OQEFxcXhIaGFnnO3po1a4w+/Nvb\\\n",
       "2+Obb74pUp0lZcKECTh+/Lhe6HZwcMDvv/9ehq2quGjIKCHEXFAgJIQUCMuymDhxIlq2bInatWub\\\n",
       "LBcfHw9XV1e9Y66uroiPj+ff1x0zVcaYkJAQ2Nra8i9znEtnCsuyxd42QalUIiUlpdBDKPOybNky\\\n",
       "LFiwABqNBhzHIS4uDtOnTy+x+guC4zgMGDAAP//8M1JSUor1GQmFQpM94wAwc+ZMfljr+yQQCLB2\\\n",
       "7VosX77caDAZOHAg3N3d33u7KjoKhIQQc0GBkBBSIOPGjcO9e/ewZ8+eMrn+zJkzkZaWxr9iYmLK\\\n",
       "pB3lDcdxSEtLw7Nnz5CRkVHowKPVarFv3z54e3ujUqVK6NOnD9RqdbHblZWVhWnTphkcP336dJ7n\\\n",
       "paSk4O7du1AqlcVuA/D287l69WqJ1FW1atU8F5Cxt7fPd9/DomAYBpaWlvDy8oK/vz88PT1hb28P\\\n",
       "JycndO/eHa9evcKoUaNMni+VSrFv3z7Y2dlRcCkkCoOEEHNAgZAQkq/x48fjyJEjOHv2LLy8vPIs\\\n",
       "6+bmhoSEBL1jCQkJcHNz49/XHTNVxhipVAobGxu9F/n/7Q+ysrKQmppa4EDIcRyys7Px888/Y/Dg\\\n",
       "wXj9+jWysrJw7NixEglQS5YsMdrbWLlyZZPnHDp0CC4uLqhfvz78/f3znY8XHR2NpUuX5rlCrUAg\\\n",
       "QJcuXQre8HfoHvR1+z+Ghobm+fDPMAw2btxY6LmNpggEAnz00Ud4+fIl0tPTER0djcePHyMmJgZv\\\n",
       "3rzB69evcfjw4QItaNO8eXMcOHAAPXr0KJG2mQPqISSEmAsKhIQQkziOw/jx4/H333/jzJkzeT7M\\\n",
       "6zRv3tygF+jUqVNo3rw5gLeBwM3NTa9Meno6rl27xpchhWNtbY0aNWrAzc2twGFEoVDg7t27+Ouv\\\n",
       "vwx6BPOb58dxHFJTU5GSkmJ0f0CWZbFlyxaj5/70009Gj2s0Gnz22Wf88NKYmBhcuHDBZBuePn2K\\\n",
       "GjVq4Ntvv0WjRo2QlJRksuyqVavQpk0bWFlZwdnZGQMGDMDff/+N06dPY/ny5ejQoQMqVaoEd3d3\\\n",
       "NGzYEAsWLMD169cRFRWF+/fvIzIyEvHx8fn+MgQA2rZti5CQEMjlcggEgkIFBYFAAKFQCJlMhubN\\\n",
       "m+P58+c4efIkPDw8IBQK9QJqYesWCoVo06YNtm7dWuBzCCGEmAdaZZQQYtK4ceOwa9cuHDp0CNbW\\\n",
       "1vwcP1tbW37o3ODBg+Hp6YmQkBAAbxe2aNOmDZYsWYJu3bphz549uHnzJtavXw/g7cPsxIkT8eOP\\\n",
       "P8Lf3x+VK1fG999/Dw8Pjzw3ESemMQwDqVRaqHMkEgmqV6+O2bNn83v2MQyDtm3b5jlPDgBOnjyJ\\\n",
       "L7/8EtnZ2WjdujXWrl0LNzc3PqAkJycjIyPD4Dw7OzvUqVPHaJ3JyckGPYJPnz41WKAIeDvMtXnz\\\n",
       "5nxwzcjIwHfffYclS5bA0tLSoLyFhQVOnz4NlUoFiUSiN8+vffv2mDBhQp73WxgCgQBTp07FuHHj\\\n",
       "EBMTg7CwMGzatAk3b940uD+GYWBlZYWuXbtiwoQJ8PPzg4WFBSQSCaRSaYn3OgmFwjy34iD6aJVR\\\n",
       "Qoi5oEBICDFpzZo1AN72erxry5YtGDp0KIC3w/be7ZVq0aIFdu3ahe+++w6zZs2Cv78/Dh48qLcQ\\\n",
       "zbRp05CVlYWRI0ciNTUVQUFBOH78OCwsLEr9nshbIpEI9vb26Nu3L3r37g2lUgmWZSGTyfJcGCUz\\\n",
       "MxMDBgzge+T++ecf/Pvvv2jVqhVmzJiBSpUqISIiAnZ2dkhOTtYbwvrZZ5+ZrFsXgHTlGYYx2WN8\\\n",
       "9uxZJCYm6h3bvn07goKCMGDAAKPn6Hre3geGYSCXyxEQEIDq1avjs88+w5IlS7B06VI+KMtkMgwf\\\n",
       "Phw//fQTrKys3ku7dG0jBUOBkBBiLigQEkJMKsh8tHPnzhkc69evH/r162fyHIZhsGDBAixYsKA4\\\n",
       "zSMlQDcH0VjPmjHnzp1DcnKy3jG1Wo0zZ87g3LlzcHJyQoMGDeDp6YnExER+oRuBQID4+HhotVqj\\\n",
       "odDGxgbNmzdHWFgYAKBmzZqoWbOm0TaMHTvW4FhWVhbGjx+Pfv36QSKRFOhe3gddOJwyZQqsra2x\\\n",
       "efNmsCyLr7/+GsOHD4dYLC6TNlV0U6ZMKfUgTYGQEGIuKBASQggpEI7j8NNPP5n8RQHLsnj9+jUu\\\n",
       "XboEb29vyGQyZGZmguM4sCyLI0eOYPDgwdi0aZNBbzDDMDh79iyOHj2K7Oxs9O7d2+gm9izLIjY2\\\n",
       "1uj1U1NTUa9ePZw4cUJvCKtIJCrzB3a5XI6RI0eiYcOGUCqVaNGiRYHCIMdxJdr24my7YW4oEBJC\\\n",
       "zAUtKkMIIaRA3rx5g/Dw8HzLZWVl4enTp0hKStJbdEar1WLXrl1wcHDAw4cPDc4Ti8UIDg7GF198\\\n",
       "YXJ4J8MwsLW1NXnthw8fwtfXF9bW1rCzs0O1atVw6tSpchGE5HI5WrZsiTZt2kAul+dZluM43L59\\\n",
       "G6NHj8b69etLbBsOhUJRIvWYA1pllBBiLqiHkBBCSL60Wi26dOlS4D0K89oyQqFQoFmzZnjz5o3R\\\n",
       "XsC8MAyDo0ePokmTJtBoNEbLcBwHlUoFlUqF58+fY+TIkXjy5Emhr1UaRCJRgdrx8uVLBAUFITs7\\\n",
       "GwzDYO3atbh27Vqxh5hGR0cX63xzQj2EhBBzQT2EhBBC8sRxHL777rsC9Q4WVFZWVoHDZW4NGjTA\\\n",
       "mzdvMGLEiALNI8u9uE1hKZVK3Lx5E1evXi2xnrr8LFiwgF9FleM43LlzB5s3by52vYVdjZYQQsiH\\\n",
       "jwIhIYSQPMXExODXX38t0ToDAgKKtaqsra0t1q9fj7S0NNy+fRt2dnYm92B0cXEpcu9gYmIifH19\\\n",
       "0aRJE7Ro0QK+vr5IS0srcrsL6ubNm3pfcxyHqVOnGh3ymZ6ejpUrV2LRokUGC/7k5u3tXaLt/JDR\\\n",
       "kFFCiLmgQEgIISRPR44cMTk80xSxWGwyhNWoUQM3b94skYdogUCA+vXrIyEhAWFhYQYrjDIMg6VL\\\n",
       "lxb5Wt988w3i4+PBcRw4jkN8fDw6dOiQZ49jTk4O0tPT9eZPFlbdunUNjmVkZKB3797IyckBx3FQ\\\n",
       "q9XYvXs3PDw88M0332DGjBlo3bp1nr2YeW0pQvRRICSEmAsKhIQQQvJUq1atQs2latmyJc6dO4f7\\\n",
       "9+/jzz//xOeff46goCCMHz8eUVFRiIiIKPGhixKJBE2bNkVsbCxq1qwJkUgEiUSCIUOGoHv37kWu\\\n",
       "NzIy0uDYrVu3jA6f5TgOe/fuhaenJzw8PPDVV1/lGQrVajVUKpXRcBkSEmI0vJ04cQIeHh5o2LAh\\\n",
       "XF1dMWDAAGRlZfGB9fHjx3j+/HnhbpIYRYGQEGIuyn6GPSGEkHItKCgIXbt2xbFjx/LsGZNKpViy\\\n",
       "ZAlGjRrF9w76+/ujb9++76upcHJywv/+9z+kp6eD4zjY2tqaHEpaED169DAIfxzHoWPHjnjy5Amc\\\n",
       "nJwAvO0V7NevH44ePcp/Rlu3bkVgYCDGjBljUO/Tp0/RtWtXJCQkoEmTJti3bx/s7Oz49z08PPDL\\\n",
       "L79g6tSpBp95SkoKUlJSjLZXIBDQPMESQovKEELMBfUQEkIIyZNQKMQ///yDBw8eYPDgwfDw8IBU\\\n",
       "KoVAIIBAIIBEIkGLFi3w9OlTjBs3rsxX8xQIBLCzs4O9vX2xwiDwdsiopaWlwfG0tDT4+vpiyJAh\\\n",
       "GDp0KFxcXHDkyBG98MZxHKZPnw6tVqt3rlqtRmBgIB4/foy0tDScOnUKjRs3NhiWO3nyZKNh0hSB\\\n",
       "QIBPPvkEXl5ehbxLYgz1EBJCzAX1EBJCiBnKzMxEUlISvLy8CjSvTCAQoHr16vjjjz/AcRyys7Px\\\n",
       "+PFjJCQkoEaNGgWup6Kxs7PDhg0bMGzYMIOtNLKysrBt27Y8z8/KykJ6ejrs7e35Y0+fPjXo4Xv+\\\n",
       "/DkyMjL0yjEMg99//x0PHz7EmTNnTF6DYRg4OTlh3bp16NGjR76BvDzsyVhcISEheW5tQgghpOAo\\\n",
       "EBJCiBmKiIjAxYsXMWrUKFhbWxfqXIZhIJfL0aBBg1JqXfnBMAw++eQTCIVCDB06FDk5OYWuIzEx\\\n",
       "US/oZWRkGJQRCoVGV10VCAQ4duwY3N3djQ4Ttba2xrZt29C9e/cy75n90NCQUUKIuaB/PQghxAz5\\\n",
       "+flBIpEUa+uHolIoFMjIyICFhQXkcnm561nMzs7GmzdvIBaL4eTkBJFIhN69eyM6OhrTp08vVA+b\\\n",
       "WCw2WFimRo0akMvlyMrK4o8NGzYMMpnMaB1SqRSXL19GgwYN+BVEBQIBOnXqhD///NPokFZSfBQI\\\n",
       "CSHmguYQEkKIGXJyckL9+vUhFovf2zW1Wi169+4NGxsbuLm5wcHBAZ6enli7di3S0tKg0Wig1Wr5\\\n",
       "/5bk0MaC1MVxHLZs2QIXFxdUrlwZPj4+2Lp1K9RqNYRCIfr27WuwrYUpQqEQMpkMgYGBBj2wVlZW\\\n",
       "uHr1KmrVqgVPT08sXboUq1evzrO+GjVqIDw8HL169cInn3yCu3fv4ujRoxQGSxHNISSEmAvqISSE\\\n",
       "EDP1vh9ie/fujcOHD/Nfa7VaJCQkYMyYMZgyZQqqVKkCZ2dnZGdnQ6lUwsXFBcHBwejduzecnZ31\\\n",
       "ehJ1AS+/e2BZFv/++y82b96M4OBgfPHFFyZ7JB8+fIgRI0bwi8CwLIuJEyeiZcuW8Pf3h0gkyrM3\\\n",
       "k2EYNG7cGEuWLIGXlxcUCgVYloWVlRU4jtNra+3atXH37l0AKPDCN7Vq1cLff/9doPsmxUc9hIQQ\\\n",
       "c0GBkBBCSKGxLIv//vsPKSkpaNWqVb49jQ8fPsSRI0dMvp+dnY179+4ZHD958iTGjRsHqVQKNzc3\\\n",
       "eHp6IicnB69evUJOTg7c3d2xceNGNGvWzGi9K1euxOTJk6HVavH333/jl19+wa1btwx6+jiOw2ef\\\n",
       "fWawImhOTg7u3LmDypUrm9wzUGf8+PFYvny5XsDTaDRQqVTQaDQGn1FRVkCl4PH+UCAkhJgLGjJK\\\n",
       "CCGkUBQKBXr27IkmTZqgS5cuWLRoUZ7lVSoVmjRpUuQhoBzHIScnB8+fP8fly5cRHh6OuLg4JCcn\\\n",
       "IyIiAi1atMC3336L1NRUvfMSExPx7bff8iGP4zhERESgevXqUKvVBmUfPHhgcG2pVIrmzZtDIpHA\\\n",
       "2traZA+hk5MTli5dahDyRCIRBAIBUlJSkJ2d/UGs8EkIIeTDQoGQEEKIUVqtFkqlku/hysnJwbVr\\\n",
       "1+Dv74+jR4/yvV/r1683WDhFR61Ww9/f3+jKmiWF4zgsXboU9erV4xdd0Wq16N+/v0HwA95u8VC/\\\n",
       "fn0+oKnVasyaNcugdxAAjhw5Al9fXwiFQjg4OMDBwcGgDMMwOHjwoMlVPgUCAc6dO4epU6di06ZN\\\n",
       "SEhIMPl5vXtPpGzRHEJCiLmgIaOEEEL05OTkIDQ0FMeOHYNKpYKTkxNycnJw9uxZPHjwwCBk5Z4f\\\n",
       "p6PRaODn54eYmJhSbzPHcYiJicGyZcvw1Vdf4dy5czh//rzJ8vfv34evry9GjRqFpKQk/Pnnn/x7\\\n",
       "AoEALi4u2L17N9q2bcsfF4vFGDBgAEJCQvTqatWqFZo3b27yWgzDYM+ePThy5Ai0Wi3Gjx+PoKAg\\\n",
       "7Nq1Cy4uLgb3kZKSghs3bsDHxwfVqlUr0tBSYziOQ1ZWFqysrEqkPnNQWkEvPDwcjRs3NjienJys\\\n",
       "t0UJIYS8DxQICSHEDCgUCqSlpUEsFsPa2troapkqlQpbtmzBrFmzkJaWBo7jIBQKIRKJoNFojPa2\\\n",
       "AUBgYKDRB+fff//9vYRBHY7jsHbtWjx+/BiHDx+GRqPJs3xiYiJ++uknPnAJhUK4urpi27ZtaNu2\\\n",
       "rdEgNnv2bBw4cABPnz4FwzDo1KkT/vrrrzxDm1AoxIsXL/jPT6lU4vTp06hRowYuXLiAGjVqQCAQ\\\n",
       "gOM4JCcnY+HChTh16hQ6deqEBQsWQCqVFuNTeUuj0WDo0KHYv38/34tK8laacwjfDYMuLi54/fo1\\\n",
       "AMDBwYF6hwkh7x0FQkII+cDFxsZiypQpuHDhAnJyciCTydCxY0d89NFH8PHxwZs3b7Bt2zacOHEC\\\n",
       "CoVC71yWZaHRaPJ8SO3Xr5/R46GhoSV6H/lhGIbv7cvMzCzQORzH8UNFbW1t8e+//6JOnTomy8vl\\\n",
       "cty9exevX7+GjY0NbGxs8g0DAoEAPj4+uHXrlt7x5ORkDBkyBMePH4e9vT1YlkVycjIyMjLg5OSE\\\n",
       "li1blti2IJMmTcLOnTtLpC5z8T4WlXn37xUNOyWElBUKhIQQ8gFTKBSYP38+Dh8+DIVCwQ9J3LZt\\\n",
       "G7Zt21agOhiGyTMQent7Gz0+bdo0/Pvvv0Xq8ZBIJGjbti1kMhlOnDiBnJycPMsLhUIIhUKo1ep8\\\n",
       "VwM1xcPDAzVr1sy3nFQqRaVKlQpV9+zZs3Hw4EGDdsXGxkKhUMDe3h5CoRBeXl6YPn06WJaFt7d3\\\n",
       "vsNFdXMR8yqnVCqxbt26QrWXFC0QXrhwAYMGDeKPBwUFYdSoUSbPs7GxQXp6eon0AhNCSFFRICSE\\\n",
       "kHLszp07sLOzg7u7e5EeGqOjo3Hx4sUihyQLCws4OTkhPj7e5BBM3XC33Fq3bo01a9ZgypQpUCqV\\\n",
       "EIvF8PX1hZ+fH549e4bHjx8brbNx48a4cOECZDIZgLc9aZUqVUJ2drbR69jb26NSpUr8SqRFHXLX\\\n",
       "smXLPPcZLI4GDRqgSpUqePr0qd7x2rVrw8XFhb+uTCZD5cqVC1SnWq3G0aNHkZKSgn79+pmcG/js\\\n",
       "2TOTw32JaUUJhNHR0dixYwd/fMeOHUYD4dOnT+Hn54eMjAy9a9BwUUJIWaBVRgkhpBxr0qQJatSo\\\n",
       "gcDAQDx58qTQ5wuFQtjb20MsFhd6SJpIJMIff/yBmzdvYvbs2SbPNzU0lGEYjBo1CqmpqcjIyEB6\\\n",
       "ejoiIiJw+PBh3Lt3D4mJiRg2bBgsLS0hEolga2uLXbt24fr163wYBN7Oq3r3Ifvd+rt27YobN25g\\\n",
       "//79mDNnjsmVPnX3I5PJjPamiUQizJw5M7+PpMgEAgH+++8/eHh48EHDyckJmzZtKnLv0O3btzFy\\\n",
       "5Eh8/fXXGD9+vMnA/ujRo+I0nRSCt7c3Bg4cyL/Wrl1rtJyfnx//53e//zRslBBSFqiHkBBCyjG1\\\n",
       "Wg21Wo2IiAiMHTsWx44dyzP05Obn54eDBw9i//79+OOPP/Do0SNkZ2fnu+CKRCLBq1ev+G0W5s2b\\\n",
       "h+bNm6Nz584GZQ8dOoSVK1earEskEhm0mWEY2NnZYfPmzdi8eXO+99G7d28MHjwY27dvB8dxsLa2\\\n",
       "RmRkJFxdXfkyVatWxfXr1/H7778b9LS0a9cOhw8fhqWlJb/a5smTJ3H+/Hm0aNECffr0MbrQDvB2\\\n",
       "C4tFixbh999/h4WFBX766Sd8+umnhe5NlMvliI2NhVarBcuyEIlExQoAFy5cQFJSEliWxfbt22Fl\\\n",
       "ZYXff//doM4GDRoU+RrmrCg9hK1bt8b27dsLfA2aQ0gIKQ8oEBJCSDmmeyiVyWTo1atXoUMIwzBw\\\n",
       "dnbGsGHDEBgYiNDQUMTFxUGpVOLFixf477//kJycrBcQLS0tce3aNYM99z7++GP4+PjgxYsXescz\\\n",
       "MjJMbj1RkrZs2YIBAwYgISEBn3zyiV4vIvC2F+7nn3/GiRMn8PjxY3AcB4FAgLp16+LQoUOQy+UA\\\n",
       "3n4m1tbW6Nu3L/r27ZvvdW/evIl58+ZBpVIBAAYOHIidO3fmufdgXnTzHYurbdu2EAqFYFkWLMti\\\n",
       "586d+OGHHwy2LahUqRKcnJzw5s2bYl/TnLyPRWUIIaQ8oEBICCHlmJ+fHxwdHTF8+HAMGjSoSA+e\\\n",
       "DMPAwsIC3t7eaNWqFZycnODv78+HEo1Gg+TkZDx69AgymQx16tSBhYWF0XquXr0KLy8vo5u4lzaB\\\n",
       "QICPP/44zzJyuRy3b9/GkSNHEB4ejvbt26Nt27Yme/8K4p9//tGbg8eyLI4dO4bff/8dkyZNKnK9\\\n",
       "xVWvXj34+voiMjISwNtgvmHDBkybNk2vnEAgwOPHj9G0aVM8e/asLJpaIb2PQMgwjN62E4QQUhZo\\\n",
       "DiEhhJRj169fx5kzZzB8+HCjIa2g1Go1Tp8+jbVr1yI8PJwfrsgwDMRiMVxdXdG6dWsEBgbmeR03\\\n",
       "NzfMnj1b75iPj0+56iGRyWTo168fFi5ciI8//rhYYRAAHB0dDY5xHIdff/21TIKxjlgsxrZt2/jv\\\n",
       "F8uyWLVqldEtN+zt7fHo0aMCb8dB/j8QFvRVGMOHD+f//G4YLMxwU0IIKSkUCAkhpByzt7eHpaVl\\\n",
       "vtsP5IXjOBw7dgyjRo3Cnj17MGrUqGKtOvn999+jWrVqYBgGIpEIy5cvL3JdFUHv3r2NruCpVCr5\\\n",
       "bR/KSmBgIHr06MH39r569QorVqwwulqlrqeYFExpBsKNGzeC4ziD18CBA0vpbgghxDQKhIQQ8oHj\\\n",
       "OA6bN29GdnY2WJaFQqEo1nwykUiEr776CnK5HJ6enh/8oiUuLi6oUqWKwUO/tbV1mfeMCoVC9OjR\\\n",
       "g5/LqNVq8ddff0GpVJZpuwghhFQcFAgJIaQC4zgOarU6z6GLCoUCoaGhfK8Rx3Ho3r17sa47ZMgQ\\\n",
       "hISEIDQ0FHZ2dsWqq7yTy+U4cOAAqlatCqFQyA+zHTVqVKntW1gYnTp14heSYVkWd+7cwcSJE2lP\\\n",
       "u2IqzR5CQggpTygQEkJIBXXv3j3Uq1cPbm5uqFWrFnbt2mV0OwmGYQwC4927d/lVMwtLq9UiNjYW\\\n",
       "derUgY+PT5HqKCksyyIrKwtZWVlFHgZbkOBUpUoVXLx4EZMmTUJgYCCGDx+OUaNGvbcg8O6wwtws\\\n",
       "LS1hZ2fHv8eyLDZu3IjLly+/l7Z9qCgQEkLMBa0ySgghFdDt27fRpEkTPgAmJydjyJAhSE9PNwgq\\\n",
       "MpkMrq6uePnyJX+MZVmo1epCL7gSHR2NL774Ao8ePUJQUBCaN29eMjdUSCzLIjs7G2fPnsXu3bth\\\n",
       "Z2eHFi1a4LPPPoNYLC5QHVqtFuHh4bh+/Tpat26N2rVrm5yryTAMXF1dERISgqysLAgEAn4bi/dB\\\n",
       "pVIhOTkZHMfBwcEBUqmU/x6r1WqDcK/VahEcHIyEhIRy0YtZEdG2E4QQc0GBkBBCKhiWZdGvXz+D\\\n",
       "3kCNRoNff/0VX331ld7+eAzD4NSpU6hVqxa/CIqtrW2hFhjhOA7Tpk3D0qVL+ToOHz6Mly9fokqV\\\n",
       "KiVwV6apVCrExcXh1atXEIlEsLKyAsdxiI2NxY0bN5CdnQ2ZTIbU1FSoVKoCBUKO43D48GGMHTsW\\\n",
       "qampcHJywu7du9GyZcs8zxOJRLC1tS2pWyuwnJwcXLp0CXfu3EG1atXQsWNHODs7AwCePXuGpKQk\\\n",
       "g3OSkpJw48YNNGvW7H0394NAgZAQYi4oEBJCSAWjUqmQlpZm9D2BQGD04TQgIACXL19Gt27doFAo\\\n",
       "EB4eXqieoytXrmDJkiV6Qxa1Wi1Wr16NX3/9tfA3UUAZGRn46aefsGPHDmRmZsLa2hqtWrXC4MGD\\\n",
       "UbNmTTRs2BAMw0AoFEIkEhU45MbExGDMmDFISEgAx3GIi4vDjz/+iMOHDxd6s3mtVoukpCT8/fff\\\n",
       "CA0NhVQqRZcuXdCuXTs4Ojry9ek+O4FAUOhVYzmOw4sXL3DixAn89ddfOHz4MPr06QM7OzusXr0a\\\n",
       "GRkZRs8bN24cbt68SYGlCCgQEkLMBQVCQgipYIRCIQYNGoSVK1fqzZsTi8UICQkxGfSaNWuGxMRE\\\n",
       "sCxb6NAzd+5co/PXSnOeGsdxSElJQVhYGJKTk6HVaiGVSlG7dm20bNkSVlZWRh/Ede009ZCu1Wox\\\n",
       "bNgwPgzqjunmVRbms+E4DhEREfjoo4/09pPbvXs3vL29MWfOHLRr1w6WlpZQKpXIysqCRCKBm5sb\\\n",
       "ZDJZoYJEbGwsoqKikJGRgadPn+LEiRMQCoXIysoyuf3FvXv3kJCQADc3twJfhxBCiHmhQEgIIeWY\\\n",
       "sXAjEonwyy+/YMyYMdi5cycuXrwIW1tbTJs2DU2bNs2zvqL0TgEwug8fAHh5eRW6roJiGAbu7u6Y\\\n",
       "P38+fvvtN2RmZmLAgAH47LPPIJPJTJ6XlZWFe/fuwc3NDT4+Pgah6/Xr17h06ZJBwE1PTy/SvoIn\\\n",
       "T55EYmKi3jGWZfHixQssWLAA0dHR8Pb2xrNnz3Dnzh0olUq0atUKw4YNg5ubm16ANxYQWZbF69ev\\\n",
       "cf78eaSlpfELBBVkER21Wo05c+Zg5cqVhZ4vau6oh5AQYi4oEBJCSDn29ddfw8XFBW3btkVgYCDf\\\n",
       "qyQWi+Hv74958+bl2yNWEhYuXIh//vlHLzAxDIN58+aV2jWBt72ebdu2RVBQEIC3YTiv++Q4DnPm\\\n",
       "zMGqVavAcRwGDRqEjRs36p3z+PFjo2GqKKuuMgxjcg6lbp7jli1bIBKJkJiYiOzsbHAch0uXLuHI\\\n",
       "kSP48ssv4ePjg6dPn+Lu3bsQiUTo2LEjWrRoATs7OzAMg5SUFKxYsQIRERF5bi9iqg379u1Dt27d\\\n",
       "8NFHH8HCwuKDWGRmypQpJn9JUVIoEBJCzAUFQkIIKcdWr14NgUCAzZs349SpU/D39zco8z4eRqtX\\\n",
       "r46QkBDMnj0bGo0GQqEQY8eORc2aNUv92roAXBDZ2dlYs2YNH+62bNmC8ePHo0GDBnwZjUZjdPgr\\\n",
       "x3GFHkoLAB07doREIjG6GbxGo8HLly/BcZxemFYoFLh58ybu3bsH4O2iMbr316xZA5lMhiZNmqBd\\\n",
       "u3Z48OABDh8+XORtQtLT0zFlyhQsWLAAH330UZHqMEcUCAkh5oICISEVXFRUFC5evIgXL14gOzsb\\\n",
       "zs7OaNCgAZo3b16oVSRJ+cRxHLRaLTIyMsr8+zlt2jSMGjUKz58/h5eXFxwdHcu0Pca8fPlSL5hx\\\n",
       "HIcZM2bgxIkT/DFTq4RKpdICB8932djYYPDgwdiwYYPBe7rvnzG6rTOMnZOdnY0LFy7gxo0b0Gq1\\\n",
       "yMnJKXS73q0vKioKU6ZMwaefflrkeswRBT1CiDmgQEhIBbVz506sWLECN2/ehKurKzw8PCCTyZCc\\\n",
       "nIynT5/CwsICAwYMwPTp08t883BSdNbW1nB2dsa2bdtQqVKlsm4ObG1tUa9evbJuhkkKhcKg9+/e\\\n",
       "vXvgOI5/uDe1QuvUqVOLPJxy9erVOHXqFJ4/f16k843RBUZjvZlFqSs+Ph6//fZbCbTMPFAPISHE\\\n",
       "XFAgJKQCatCgASQSCYYOHYoDBw4YBAWlUokrV65gz549aNy4MVavXo1+/fqVUWtJcYSHh8PZ2bnE\\\n",
       "9r7LysrCihUrEBUVha+//hq1atX6IOaU6djb2xsc02q1YFmWv89Dhw4ZlGEYBuPGjTNa57th0hSh\\\n",
       "UIhq1aqVaCAkhBBC3gcKhIRUQAsXLkSnTp1Mvi+VStG2bVu0bdsWP/30Ez2kVmDG5gwaoxuaKBQK\\\n",
       "TYaX169fw9/fH+np6QDezq9r1aoVtm3bBk9PzyKtPlreSKVSg2NqtRpqtRpCoRBKpRJ79+41KGNh\\\n",
       "YWE0TJ48eRLnz5/HoEGDUL16dZOfbWZmJm7evFn8G8hFdz1TvYS6XqyirI5K8kY9hIQQc1Hx//Un\\\n",
       "xAzlFQZzc3R0RKNGjUqxNaS80Gg0ea5CuXnzZr0NzLVaLa5evYoNGzYgMzOzRIYmljVj96/RaPhF\\\n",
       "W1JSUowOGTW2JyDLspgwYQJ+//13fP3118jMzDR53QsXLpgcilpUDMPku8iNk5MTqlSp8kH18pYX\\\n",
       "ukBY0BchhFRUFAgJ+UC8fv0a9+7dw927d/VexHzk1TuYmZmJH374wSD05eTkYPny5Vi5ciVSUlLK\\\n",
       "JBTqglpWVla+ZfNrX0xMjMGxnJwc3L59GykpKVi0aJHR1Tr9/f0NPrt//vkHDx8+REZGBkJDQ+Hv\\\n",
       "74/Y2Fi9NiiVSkyePBk9e/Ys9JYQ+bGzs0OdOnVM7rk4YMAAvHjxAvfv38emTZsolJQwCoSEEHNB\\\n",
       "Q0YJqeDCw8MxZMgQPHjwQG8/Ot28p5J+SCXlU35bM7x8+dLkRuYsyyImJgZv3ryBXC43OuyytHAc\\\n",
       "h0OHDmHChAmQSqXYunUrWrRoYfCAHRMTg6lTpyIyMhIdOnTA1KlT4eTkpFeO4zisW7fO4BparRb/\\\n",
       "/PMP0tLScPDgQaOhsl27dgbnjBgxQu9YQkICKleujGbNmqFFixa4fv06wsLCjG43URC6v6fG+Pr6\\\n",
       "Yvv27fDw8MDixYuxYcMGvb/LLVu2xB9//MH3DA4ePBh//vknjhw5YvQ6QP5hmuijIaOEEHNBgZCQ\\\n",
       "Cu7LL79EtWrVsGnTJri6utKDCTHK2toaLi4uiIuL0/vFgZ2dHYYPH45Ro0bB3d2dn4/2vuYTxsTE\\\n",
       "4IsvvuC3VejQoQP++OMPfPLJJxAKhdBqtdi/fz+GDBnC9+zdunULy5YtwyeffIIVK1bAwcEBKpUK\\\n",
       "L168wP79+41eJysrC+np6SZDUfv27Q3KJycnG5RTq9W4ePEiLl68WOR7FovFmDFjBnr06IGrV69i\\\n",
       "4cKFiI+P5/dB/Oyzz7B27VrI5XIAwLJlywAAW7duhVarRYMGDRAaGqo3TJRhGPz555/w8/Pjv8dS\\\n",
       "qRQff/wxRo8eDUdHR0RGRuLChQtGt8cghigQEkLMBQVCQiq4Z8+e4cCBA6hatWpZN4WUY87Ozti0\\\n",
       "aRPWrVuH2NhYtG7dGp9//jlq1KgBCwsLPgCyLAuWZcFxXL7z0rRaLW7duoVjx47Bzs4OnTt3RuXK\\\n",
       "lSGRSArUJpZl8dlnn+ntsadUKjFs2DCEh4ejVatW2LlzJw4cOACNRqN3rkajwZ49e3DkyBHUq1cP\\\n",
       "qampiI2NNTrs1NLSEl988QWqVauGhw8fYvHixXr1icViVK9eXe+covb6FURISAgmT54MhmEQGBiI\\\n",
       "cePGIT09HcnJyXB2doaVlZVewLCwsMDKlSsxY8YMKBQK+Pn5Ge0NlkqluHv3LpYsWQKxWIzRo0fr\\\n",
       "/ZKoadOmGDhwINavX19q9/a+hISEGB36W5IoEBJCzAUFQkIquA4dOuC///6jQEjyJBaL0a5dO7Rq\\\n",
       "1QoikchkaBMIBFCpVEhJSYGNjQ3fS5VbTk4OGjRogEePHvG9bgKBAO7u7vjmm2/QpUsXWFpagmVZ\\\n",
       "WFtbw9HR0SDE3L17Fzdu3DBa9++//45Vq1YZ3VfwXZmZmbh8+bLJ9xmGwfTp0xEUFAShUIjvv/8e\\\n",
       "T58+xYEDB6DVasEwDFxdXWFnZ6d3nrW1NaRSKRQKhcm6i0IgEODLL7/UCxACgQB2dnYGbXiXUCgs\\\n",
       "0H6iDg4O+PHHHwFQSCGEEFIwFAgJqeA2btyIIUOG4N69e6hdu7bBQ3fPnj3LqGWkPNGtWCkSifId\\\n",
       "DhoXF4fvv/8elpaWWLBgAdzd3fXe5zgOrVu3xsOHD/WOsyyL2NhYzJw5E3PmzOF7GxmGgbW1NUaP\\\n",
       "Ho0JEybA2toaT548QadOnYzOceU4DkqlskTmvNWoUQPTp0/nV+uUyWTYunUrGIbBsWPHwDAMevXq\\\n",
       "BQsLC73zpFIpJkyYgIULFxbqennNCwTehj9TIbukUBAsGdRDSAgxFxQICangrly5gsuXL+Pff/81\\\n",
       "eI8WlSE6LMvyW0tYWVmZHA6qUqnQsWNHREVFAQC2bduG/fv3o0ePHnzYWbBggdGevXevlXvIZUpK\\\n",
       "CkJCQhASEpJnaCrJffU6dOiAkydPGgRgmUyGHTt2ICIiArGxsahfv77B9g4Mw+Cnn35CTEwM/v77\\\n",
       "7zx7KgUCAWbMmIE5c+ZALBbjzZs3qFatmtFtKKytrfNc/IeUHxQICSHmgradIKSC+/rrrzFw4EC8\\\n",
       "evWK75HRvSgMEp2MjAwsXrwYQ4cOxaFDh0yWe/HiBV68eMF/rVKpMHToUMTGxoJlWSgUCvzxxx/F\\\n",
       "aktePWgl9WBtb2+PI0eOmOwNFYlECAgIQMuWLeHo6Gj0ugzDYN68efj666/h4+NjdE9AqVSKc+fO\\\n",
       "4aeffoJUKoVAIICLiwvOnTtntM6BAwdSeKggaNsJQoi5oEBISAWXlJSESZMmwdXVtaybQsopjuOw\\\n",
       "du1aLF68GIcOHUL//v2RkpJitOzevXsNeudSU1Oxfft2KJVKZGVllfi8utxtLe5QUaFQiMuXLxsM\\\n",
       "A81NLBZDLpcbDXq6Xk6VSoXGjRsjODgY/v7+/AI8QqEQvr6+ePjwIVq1amVwfr169VCrVi29Y5aW\\\n",
       "lggJCSnWvZH3hwIhIcRc0JBRQiq4Pn364OzZs/Dz8yvrppBySqFQICQkhB/GqVKp8MknnyA0NNTg\\\n",
       "QfbSpUsG53Mch6SkJAiFQlhZWaFKlSqIj48vlbYWNAyKxWLIZDIoFAq9/RUFAgG+//571KhRo0D1\\\n",
       "6IavqtVqqNVqpKWlITIyEmFhYbh79y6ys7Ph6OgIOzs7tGzZEt7e3gCAHj16YNiwYbC0tDRZ79Wr\\\n",
       "V1GnTh3ExMTAxsYGV65cKfX5g6awLIu0tDS8fPkSderUKZM2VDQ0ZJQQYi4oEBJSwVWrVg0zZ87E\\\n",
       "pUuXUKdOHYP5Sd98800ZtYyUF2FhYUhPT9c7dv78eaSnp8PW1lbveEZGhsH5DMPgk08+gVgshlgs\\\n",
       "xtixYxEWFlaqbc4LwzDw9PTEV199BQA4ffo0nj9/DolEgqlTp2LYsGH51qHridRqtcjOzsbdu3ex\\\n",
       "YsUKnD17FhkZGfxwa90iMNWqVUOrVq0watQoNG3aFG5ubvkuziOXyxEZGYmsrCzIZLIymzuYlpaG\\\n",
       "pk2bIjIykt9ShBBCCNGhQEhIBbdx40ZYWVnh/PnzOH/+vN57DMNQIKzgfvrpJ1hZWcHb2xu1a9eG\\\n",
       "l5cXLCwsCtwjwXEcVq5caRACtFot9u3bhxEjRugdf3dPQB03Nzc0btyYv+bHH38MgUBQqIVfGIaB\\\n",
       "paUlXFxckJycbHTBlXflVT/HcbC1tUW/fv3g5eWFKVOmAHg7VLQgoUs3v5ZlWWRlZSE0NBTffvst\\\n",
       "Xr58afRzysjIwIMHD+Dh4YGvvvqqQGFQRygUwsbGpkBlSwPHcejduzcePXpUZm2oqKiHkBBiLmgO\\\n",
       "ISEVXFRUlMnXs2fPSuQaq1atgq+vLywsLNC0aVNcv349z/L79+9HQEAALCwsUKdOHRw7dkzvfY7j\\\n",
       "MGfOHLi7u0Mmk6Fjx46IjIwsUtt0PT2mXklJSYWeC1SeXt999x0mTpyIPn36oFq1arC1tUWdOnVw\\\n",
       "/PhxZGRkQKVSITMzE1FRUXjw4AHS09P1Qk1OTg7Cw8ONfnY///yz3sJDWq0WMTExemUYhsHBgwf1\\\n",
       "5tnZ2trmG7zevQeRSIS6deti7969OHDgALp06ZJvoLK0tIStra3JB+2XL19CKBRCJpPBwsICFhYW\\\n",
       "BQqDGo0GOTk5UKlUyMnJwbNnzxASEmI0DOpwHAeFQoHIyEh+DmFFwXEc/vvvv7JuRoX0IcwhfPbs\\\n",
       "WbltGyGk/Kg4/6oRQgrl1atXWLRoUbHr2bt3LyZPnoy5c+fi1q1bqFevHjp16oTXr18bLR8WFob+\\\n",
       "/ftj+PDhuH37NoKDgxEcHIx79+7xZRYtWoTffvsNa9euxbVr1yCXy9GpUyejvVNEn1qtRkREBLp1\\\n",
       "64YaNWqgV69e6NixI5o1a4bmzZujWbNm2Lt3L9LT05GTk4Nbt24hKSnJaF3R0dFYunQpcnJykJOT\\\n",
       "gyVLlhiUrVmzJho3bqx3TCgU5rlgi27RFd2DsoWFBT7++GM0btwYPj4+qFatWp73yDAMmjZtil9/\\\n",
       "/RVNmzY1+kCbkpKCU6dOFXj4I8dxyMjIQFxcHFJSUqBUKqFQKHDp0iU8fPiwQPVwHFdmcwCLSiAQ\\\n",
       "FGhDe2LoQwiEVapUKesmEEIqABoySkgF9+WXXxo9/uLFC1y/fh3Tpk0rVv1Lly7FiBEj+HlZa9eu\\\n",
       "xdGjR7F582bMmDHDoPyKFSvQuXNnTJ06FQDwww8/4NSpU1i5ciXWrl0LjuOwfPlyfPfdd+jVqxeA\\\n",
       "t3vdubq64uDBg/j888+L1V5zodsEXre4i25uWHp6Or788ku0atUKbdu2xT///GOwJ+C7dcyYMQPz\\\n",
       "588Hy7LIycnRC0a6IcfGesSsra0Nhn0yDAOJRAKpVAqlUgmtVsv3rh0/fhzdu3eHs7Mzv8ehKUKh\\\n",
       "ENOmTUPbtm3Ru3dvdOjQwaCXi2VZ/PDDD+jfv7/BPMjcsrOzcf36dVy6dAm2trZo3rw5vLy8kJGR\\\n",
       "gdOnT5v8fN69L0tLS3Tq1An29vZ5li2PtmzZgoYNG5bI3o7m5EMaMqpbPIkQQoyhQEhIBZd7+wCt\\\n",
       "Votnz57hwYMHWL16dbHqVqlUCA8Px8yZM/ljAoEAHTt2xJUrV4yec+XKFUyePFnvWKdOnXDw4EEA\\\n",
       "b4e4xsfHo2PHjvz7tra2aNq0Ka5cuUKBsJBy7zWpC2ChoaE4f/48NBpNnkFAN4/OGIZh+A3Z333g\\\n",
       "5TgOXl5eiI2NBcdxEAgEsLW1RcOGDVGrVi1ERkbiwoULfNDSarW4f/8+Zs6ciZ49e+LNmzcQCoUm\\\n",
       "22Vvb4+WLVtCIpHA0dER+/fvR82aNaHRaPTKvXr1CvPnz8evv/5qNLRyHIdr165h7NixePr0Kd/u\\\n",
       "rKwstGnTBg8ePMDVq1fzfFAWCoVwd3fH559/jmnTpkEikZgsW17VrVsXkyZNwrJlyygUFsKHFAgB\\\n",
       "wzZSQCSE6NCQUUIquL///lvv9c8//+DevXtYsGABH8KK6s2bN9BqtQZ7HLq6uprcdiA+Pj7P8rr/\\\n",
       "FqZOAFAqlUhPT9d7EdNYloVKpTIIjIXBcRyuXr2qt62D7ri3tzckEgnEYjE8PDwwYsQIzJ07F4MG\\\n",
       "DUKLFi0gFAr1ztFqtXj69CmeP38OGxsbyOVykw/Rfn5+ekNSPT09YW1tbbR9f//9t8kevszMTMya\\\n",
       "NQv37t1DZmYmsrOzERsbi0uXLiEsLAz//vtvvj9HIpEI9erVQ+/evWFnZ5dn2fKKYRhMnToVXl5e\\\n",
       "FWr+IykZuvnU48aNo+8/IcQo+j8DIR+o/v3749y5c2XdjBITEhICW1tb/lWpUqWyblK5V9weAF3g\\\n",
       "mj17NjIzM/kHS41Gg2HDhuHrr7/Gzp07cf/+fYSEhCAoKAgNGjTAZ599ZnR/vtTUVGg0GgwZMgQr\\\n",
       "V65E9+7dDYKhhYUFNm3apBcoZTIZPvvsM6NtfPHiBRYvXmxwr2q1Gr169cK5c+egVqv5lUXT09Nx\\\n",
       "8uRJzJs3DwcPHoRKpcrzMxAKhWjUqBFq1aqV56I1arUaCQkJePLkCR49eoSHDx8iKioKaWlp5aJX\\\n",
       "ztXVFZGRkbh48WJZN6VCqYjzB021afLkyfwwbuodJIS8iwIhIR+o//77Dw0aNChWHU5OThAKhUhI\\\n",
       "SNA7npCQADc3N6PnuLm55Vle99/C1AkAM2fORFpaGv/KvRomKR1KpRJLly5F/fr18e+///IBp0WL\\\n",
       "Fpg/fz769u0La2trCAQCMAwDoVAIZ2dnyGQyg7oYhkGHDh3Qrl079O/fHwcPHkRCQgL++ecftG/f\\\n",
       "HkFBQfjzzz8REBBgcN7w4cMNeh2Bt6F14cKFiImJ4YeUchyHM2fO4MKFC0YffNVqNTIzMw2GoBqj\\\n",
       "UCiwa9euPFchTUhIQNeuXVGtWjXUqVMH9erVQ7169RAQEABvb2988sknSExMzPdapU0ikaBFixZl\\\n",
       "3YwKoyIvKqP7hYy7uzt/zM/Pr9y1kxBSPtAcQkIquNzz9YC3D6iHDh1Ct27d9N5funRpoeqWSCRo\\\n",
       "1KgRTp8+jeDgYABvhyKePn0a48ePN3pO8+bNcfr0aUycOJE/durUKTRv3hwAULlyZbi5ueH06dOo\\\n",
       "X78+ACA9PR3Xrl3DmDFjTLZFKpVCKpUWqv2kZLAsi6dPn2LAgAFYt24dunbtCrlczofA3DQajdGe\\\n",
       "NysrK7Ru3VpvOKhcLkf37t3RpUsXqNVqiMVio8PaKlWqBJlMhszMTIP3FAoFgoODMXPmTHTt2hXJ\\\n",
       "yckYN25csYbL6nAchydPniA4OBi3bt0yGLqqVqvRt29fhIWFGQ2MKpUKBw8exOXLl3HmzBnUqlWr\\\n",
       "2G0i70dFnkPo4uIC4O0QfScnJ7x584Zf7IkQQnKjQEhIBXf79m2jxwMDA/H69Wt+e4iiPrBMnjwZ\\\n",
       "Q4YMQePGjdGkSRMsX74cWVlZ/KqjgwcPhqenJ0JCQgAAEyZMQJs2bbBkyRJ069YNe/bswc2bN7F+\\\n",
       "/Xq+HRMnTsSPP/4If39/VK5cGd9//z08PDz40EnKp7S0NOzbtw+dO3c2+bCs1Wpx8+ZNg8WOAMDX\\\n",
       "1xcODg5G6xYKhRAKhXnuBZjXgi537tzB4MGD0axZM7x69SrflUwL68mTJ/j8889x+PBhvcD6+PFj\\\n",
       "XL9+Pc8heBzH4fXr1wgMDMSRI0fQvn37Em1b7kV/SMmoyIHw+fPn/DBr3WrA9vb2ec7TJoSYLwqE\\\n",
       "hFRwZ8+eLdX6P/vsMyQmJmLOnDmIj49H/fr1cfz4cX5RmOjoaL0H5BYtWmDXrl347rvvMGvWLPj7\\\n",
       "++PgwYOoXbs2X2batGnIysrCyJEjkZqaiqCgIBw/fjzPve1Mye9BzNHRsULPlylPD5ocxyEiIgJZ\\\n",
       "WVmwtLTk58bpPl+FQoErV65g3LhxUCgUeucyDIOqVavqbXBvrH5dr55uH0PgbciMjo7Oc74fx3HI\\\n",
       "yckp1Xmzx48fx5MnT/h9FDmOw9atWw0W3TFFoVCgU6dOOHDgAHr27Fli7SpPPyMfkoocCAFg3759\\\n",
       "AMAPjaYwSAgxhQIhISRf48ePNzlE1NgDeL9+/dCvXz+T9TEMgwULFmDBggUl1cQPlrW1NdRqNZRK\\\n",
       "ZbkItgkJCbh27Rrq1q2LqKgoHDt2DBEREUhNTUVcXBxev35tclhaWloatFqtyVCYnZ2NR48eITMz\\\n",
       "E56ennB2doZYLEZGRgaOHTtW5sPdWJbF9OnTceDAAQgEArAsi1OnThWqDo1Ggz59+uDChQs0n6+c\\\n",
       "q6iB8N0e47Zt2+LcuXPlqn2EkPKHAiEhFVDnzp0xb948NGvWLM9yGRkZWL16NaysrDBu3Lj31DpS\\\n",
       "kp49e4a0tDRs3LgRv/32G7Kzs8u0PRkZGZg2bRpkMhmePXuG7OzsAq2iqdvCIjIyErVq1TJ4QNVo\\\n",
       "NDh//jwWL16M5ORkeHp6onXr1qhZsyZiY2Nx6NChEpkTWFwXL16EWq2GVCoFx3FG5zTmR6vVom3b\\\n",
       "trh37x7f25gbDQMlxfHuL49Onz7N7/t68+bNsmoSIaQco0BISAXUr18/9O3bF7a2tujRowcaN24M\\\n",
       "Dw8PWFhYICUlBffv38elS5dw7NgxdOvWDYsXLy7rJpMicnJygpOTE3744Qe0aNECn3/+eZmGQo1G\\\n",
       "gydPnhSptzIlJQV9+/bFhQsXDPahzMjIwO7du3H79m3k5OTg6dOn+N///gc3NzcolUo8f/68XPSQ\\\n",
       "ZmZmQqVSQSqVQiAQoHLlynj69Gmh61Gr1WjUqBGeP38OR0fHUmgpKa6K2kOYW4cOHcrF3x1CSPlF\\\n",
       "204QUgENHz4cz549w6xZs3D//n2MHDkSrVq1QmBgIDp16oQNGzbA29sbN27cwN69e+Ht7V3WTSbF\\\n",
       "JBKJ0LlzZ8yePTvPxVVMEQgEkEqlRrduKKziPFw+fvwYbdu2xatXr/h6WJZFRkYGoqKioFAooFar\\\n",
       "oVAokJCQgPv37+Pp06fIzs4uFw+1Go0GOTk5AN5+psZW+X2XSCQy+ZlnZmaid+/eRns+y3PAMBcV\\\n",
       "edsJQggpDOohJKSCkkqlGDhwIAYOHAjg7fwshUIBR0fHPDfQJhWXWCzG6NGj8d9//+Hff/+FUqmE\\\n",
       "UCiEVCoFy7JQKBTQaDQGwUkkEqFy5cqoUaMGwsPDERcXV6bh6uHDh+jRowcOHz4MZ2dncByHjIwM\\\n",
       "pKSkQKvV6i1WowtL5SEMAm/D6/Pnz+Hs7AwACAoKgkQiMbngjbW1NVxcXPDs2TOji8/cuHEDSUlJ\\\n",
       "/DYBpPz4UHoICSEkPxQICflA2NrawtbWtqybQUoRx3GQy+WYMmUK7O3t8fLlS1SuXBn16tWDWCzG\\\n",
       "1atXcfLkSbx69QoajQYCgQB2dnbo2LEjBg4cCBsbG6xevRr79u3TCycikQgCgQBqtfq9Ba/bt29j\\\n",
       "9OjRWLFiBaysrBAREYHXr1/rzUfkOK5M5tIJhUK4uroiJycHycnJeu9xHIfvv/8ex44dg0AggIWF\\\n",
       "Bdzc3BAdHW20LrFYjE6dOiE0NBT37983eF+tViM+Pr7QgVD3faIgUnooEBJCzAUFQkIIKcd69OgB\\\n",
       "b29vdOnSBXXq1IFUKoWVlRU6dOiAFy9ewMLCAra2tmAYBrVq1YKtrS3EYjFq1qyJunXrwt3dHTKZ\\\n",
       "DBzHIS4uDm/evOHDhEgkQuvWrRESEoLU1FQMGTKkyEvTMwwDgUAAjuMKtMgMy7L4559/cObMGbi5\\\n",
       "uSExMRHp6elGA6kuFOrqL2poZRgGcrkcTZs2RdWqVXHz5k3cvXtXLxw7ODjg5s2b8PX1BQAsWbIE\\\n",
       "06ZN07vmiRMnUK9ePezatQvp6el5rn765s0b/P333ybnfbIsi0ePHqFu3br5tp/jOCQmJuLgwYN4\\\n",
       "8uQJGjZsiPbt28Pe3h4MwyAjIwPHjx9HbGwsBg8eTL2OxVTagdDPzw/Pnj3TOyYUCvltIggh5H2h\\\n",
       "QEgIIeXYkSNHAAAbNmxA3bp1MXDgQNja2uLatWu4fv06EhMToVKpoNVqwTAMv9BQkyZNUKlSJX6L\\\n",
       "h5ycHISFheHSpUv8AyfHcahcuTK8vb3h5OQEBweHIgVCgUAAe3t72NjY4M2bN8jMzCxwaMvMzMST\\\n",
       "J08KVFYkEvHDMwvbmymVStGrVy+sWrUKjo6OYBiGH/4ZHByMR48eQSwW44cffoCvry//gD9lyhRc\\\n",
       "v34d+/fv16vv3r17aNGiBVxdXZGammryuizL4uXLlybf5zgOJ06cQN++ffX28zRW7t9//8XQoUP5\\\n",
       "XktLS0t06dIFX3/9NWQyGfbs2YNt27ZBrVYjNTUV8+fPL5E5o6Tkde/enQ+DAoEAjo6OSExMpFEe\\\n",
       "hJAyQYGQEEIqALVajbt372LXrl3w9PTE9evXkZCQYLAgSVJSEo4cOYKxY8fyQ0F1i7YsWbIEWVlZ\\\n",
       "fFmtVov9+/fD1dUV2dnZiIqKKnS7GIaBu7s7WrdujZycHFy9ehXZ2dmlskWEhYUFqlatCpZl8ezZ\\\n",
       "M2RkZOQZCgUCASQSCZycnDB69GhMmjQJlpaWeu9XqVIF165dw/bt2/Hq1St8+umner09DMNg586d\\\n",
       "OHXqlEHwy8zM5BeYyUt+wfXUqVOIi4uDp6en0Z4mjUaDZcuWYfbs2Xq9mRkZGfjrr78QHh4OV1dX\\\n",
       "REZGIiUlBQzD4OrVq1Cr1UYD4YcwvHHKlCmwsrIq1WuUZg/h0aNHAZSfubGEEPNGgZAQQioIrVaL\\\n",
       "5ORkKJVKJCYmGg1dHMfhxYsXePjwIapUqQLgbS/V6dOnjc5hS09Px8KFC/lyhWVvb4/hw4ejZs2a\\\n",
       "OH/+PAQCAR9CS/JhV9f72bZtW/j4+OC///7DqVOn9D4HhmH4RXZcXFxQrVo1BAQEoG7duujUqRNk\\\n",
       "MpnRumUyGYYNG4aUlBTY2NgYvC8WixEWFobatWsbfEYsy0Imk4FhGKOLxhTE69ev8c0336Bv377w\\\n",
       "8vKChYUFhEIhsrKycPnyZaxZswaxsbFGP0+NRoNnz54hJiYGLMuCZVkIhUKIRCK9oYdarRavXr3C\\\n",
       "yZMni9RGc/Q+5hDmPo8CIiGkLFAgJKSCGzJkCIYPH47WrVuXdVPIe2BlZQW1Wp1nD5xarcaaNWvQ\\\n",
       "unVrWFpaIjo6GjNmzDA5N6koQRB4O4Rz+PDhGD58OFiWRVxcHKRSKd8zqRuWqdFoinwN4O1Ds4WF\\\n",
       "BerVq4fu3bvD19cXXbp0wfDhwwEAbm5ucHR0hEgkAsMw/JxDlmWhVCqhVqthY2OT50O7WCzm5+IZ\\\n",
       "U6NGDQwbNgybNm0yOK9evXpwdHTEnTt38Pr1a344q64t+T3ka7VanDx5EkePHi3SZ8VxHL/Kqa79\\\n",
       "AoGAH0rMsiz+97//Yfz48bh7926h6jZnRQmEFy5cwKBBg/jjQUFBGDVqVJ7nvhvedT8zhBDyPlEg\\\n",
       "JKSCS0tLQ8eOHeHj44Nhw4ZhyJAh8PT0LOtmkVLAMAxkMhmUSmW+D41nzpzBpEmT4Ovri40bNyIm\\\n",
       "JqbE21O9enVMnToVDg4OYFkWnTt3xqVLl8CyLOzt7dG1a1cEBQVBqVTi77//xt9//4309PQ862QY\\\n",
       "BiKRCGKxmO/psre3R/v27TF69GhUr14dUqkUDMOgSpUqfPA0xdLSEkqlskAP9rqVVoVCodHyq1ev\\\n",
       "xo0bN/C///0PHMdBKBTC398fCxYs4BeFyczMRHJyMtLT0xEXF4dVq1bh2rVrJkOeSCSCpaUlFAqF\\\n",
       "ya0rCoPjOGg0Gty7dw8RERGoX78+lEolLly4gJiYmCL3YpqjogTC6Oho7Nixgz++Y8eOPAPhu3+P\\\n",
       "P4ShvISQiokCISEV3MGDB5GYmIjt27fjjz/+wNy5c9GxY0cMHz4cvXr1oj0JPyAcxyEnJ6dAgVCl\\\n",
       "UuHQoUMQiURISkoq8bYwDINOnTrBzs4OQqEQAoEAnp6eaNeuHVQqFWrVqoVBgwbB29sbAoEALVu2\\\n",
       "RJ06dTBv3jxkZmaarNPS0hLVqlVDjRo14OTkBLlcDh8fHzRr1gx+fn6QyWT84isFeYB+d3XSglCp\\\n",
       "VBCJRPxiPO8Si8WYOXMmRo0ahezsbMhkMjRt2hQ1atTgPwdHR0d4e3vzwczNzQ3BwcFG75lhGNjb\\\n",
       "28PNzQ1Pnz4tkUAIvP05efPmDUJDQ1GpUiW+h9Xe3h5paWkldp0PXVECobe3t95ojaCgoFJpGyGE\\\n",
       "lCQKhIR8AJydnTF58mRMnjwZt27dwpYtWzBo0CBYWVlh4MCBGDt2LPz9/cu6maSYWJZFVFRUgXp5\\\n",
       "OI4z2EOvsGQyGdq0aQO1Wo2rV6/yC9IwDIPq1atj/vz5/C8cGIaBjY0Nhg8fjj59+sDW1haWlpb8\\\n",
       "g7JUKsWUKVMwcuRIDBgwAMeOHeOHver2SwwODsb48eNRrVo1WFhY6D2QF2eOFsMwyMrKgkQiyXMl\\\n",
       "T7VajTNnzkAqlaJ9+/aQSqUGdX366aeoU6cODhw4ADs7O/Tq1Quurq5GF28RiURo3749Vq9ejSFD\\\n",
       "hhiE0ubNm2PHjh2QSqWYO3cuNm/eXKyhte9SKBRYvHgxEhISMGjQIDRr1gy+vr548uQJvv766xK5\\\n",
       "BjHUunVrbN++vaybQQghhUKBkJAPyKtXr3Dq1CmcOnUKQqEQXbt2xf/+9z/UrFkTixYtwqRJk8q6\\\n",
       "iaSY8htyWVK8vb1x584d2NnZ8dddvnw5Dh48iICAAPz2229GV3mUyWQmF28BAGtraxw6dAjJycm4\\\n",
       "c+cOGIaBn58fnJycYGFhke8Q0KJQqVR48OABatWqxd+PMdHR0ZgwYQKSk5PRqFEj/P3337C3t9cr\\\n",
       "IxAIULNmTfj7+4Nl2XxDJsMw6N+/P2bPnq03bLdJkyY4e/YsJBIJgLfDUbOzs7F79+4Sm0OmUCiw\\\n",
       "Z88edOnSBQ0bNkSdOnXw8ccfUyAsoNJcVEYoFPJbxdjZ2eW5dQkhhJQ20/+KEUIqBLVajQMHDqB7\\\n",
       "9+7w8fHB/v37MXHiRMTFxeGPP/5AaGgo9u3bhwULFpR1U0kJKM7G7AXBMAxq1KiBhw8f8ous6Fb4\\\n",
       "nDt3Lm7cuIEdO3bA2dm5WNdwdHREhw4d0L59e/j4+EAul5ucu1dcb968wdKlS7Fu3TqTC+twHIf1\\\n",
       "69fj5cuXyMzMxPnz51G5cmWjPXYMw0AikfABNj8ikQjnz5+Ho6MjJBIJ2rRpg4sXL/JhEHg7HHX7\\\n",
       "9u3YsGEDrKysSuxzyMzMhEgk4lcuLUh7yVu6n/2Cvgrj3Z/Dd8MgLShDCCkL9C8DIRWcu7s7RowY\\\n",
       "AR8fH1y/fh03b97E6NGj9ZbPb9euXZ49I8S8yeVyzJw5E0+fPoVSqcT9+/dN9vKJRKIKt9n54sWL\\\n",
       "cfDgQcycORNVq1bV24tRh2VZ3Lx5Uy8ApqWloVKlSsjIyDAoX9gH98qVK+PNmzfIycnBuXPn9MKg\\\n",
       "jkAgwPDhw5GRkQGFQoEXL17gyJEj6N27t9HyBdW4cWNasKSISiMM6uh+ufPuixBCygIFQkIquGXL\\\n",
       "lvGrGdavX99oGTs7uyJtOk4+fEKhEFu3bsWPP/6IKlWqfHCLEHEch1u3bvH7Ir548QKNGzc2mIep\\\n",
       "mx+YezGZ+Ph4TJs2DZmZmdBqtdBoNMjKykJqaiqUSmWh21PQ8CCVSuHt7Y1u3bph9+7dmDp1apGC\\\n",
       "h6OjIxwdHQt9HindHkJCCClPKBASUsENGjQIFhYWZd0MUkpK+0HTwsICHTt2/GCHEjIMA1dXV71j\\\n",
       "jx49wsyZM/V6AwUCAYYMGYIJEyboLYbDMAwuXLiAI0eOICIiAqdOncKsWbMwaNAgzJs3D69evSr1\\\n",
       "e5BKpfjmm28gl8tNljH2cyIUCrFhwwaDkGusZ6qivRwdHUs9oFEgJISYiw/zCYAQQj4QV65cwcqV\\\n",
       "K4s1Zy8/BQmDHMfluwJmXsPeNBoNMjMzTc7h052v0Wj41Ufzw7Isbty4ge3btyM5OdnkebNnz9a7\\\n",
       "R47jsGXLFrx580avnFwux8KFC3Hv3j1MmzYNDRo0QKNGjdCuXTt+XuG6deuwZ88ehIaGYtmyZQgM\\\n",
       "DMSmTZtKfSsHOzs7g2ALvB3C261bN6xZswbffvstqlatCmtra7i5uWH9+vXo3r17qbbrQ0aBkBBi\\\n",
       "LigQEkJIOda0aVOMGzcO0dHRqFevXonXr1Kp8u3lio+Px0cffYSqVati0aJFBsGL4zjcuXMHH330\\\n",
       "EZo2bYo1a9YgIyMDLMtCpVLh2LFj8PPzg4uLC6pUqYLDhw/rDdlkWRavXr3CggUL0KtXL8ycORNx\\\n",
       "cXH5tv3mzZto164dhg0bhubNm2Pbtm1GA2mjRo3QuHFjvWNKpRLPnz83KC8SiVC5cmWEhITgxo0b\\\n",
       "OHfuHBYuXIjg4GA0bNgQFhYWUCqVUKvVUCqViI2NxciRI+Hu7o61a9eWWjAUCoWoV6+eXvBwdnbG\\\n",
       "o0ePcPjwYYwaNQqLFy/Gw4cPkZiYiOjoaHz55ZcfbM8vIYSQkkP/UhBCSAVgYWGBS5cuGeyNV1wa\\\n",
       "jQZ79uwx2bOXmZmJatWq4fTp04iKisKMGTOwYsUKvTLPnz9Hs2bNcPr0ady4cQNjx46Fh4cHunXr\\\n",
       "hvbt26N3796Ijo6GQqFATEwM+vTpg/bt2+Off/7BxYsXMXHiRNSsWRPz58/HsWPHsGTJErRv3x5p\\\n",
       "aWkm281xHGbNmoWsrCxotVpERUVh1apVRnsxBQIBjh07BldXV743Ry6X59mjyTAMhEIhZDIZrKys\\\n",
       "4OTkhMDAQIwaNQouLi56wYxlWSQnJ2PMmDGwsrJCt27dEBERgczMTCgUCqSnpyMhIQHJyclFDoy6\\\n",
       "BWe8vLzg4OCAYcOGITo6GlWqVNFri1AohFQq/eDmgpYF6iEkhJgLCoSEEFJBWFlZoW/fviVaJ8dx\\\n",
       "WLdundGVNAFg1qxZeu9xHId58+bxQz85jsP06dMNFljJzMzEyZMnce3aNYMQpNFoEBYWhi+++AK9\\\n",
       "evXC2rVrkZqayoczlmXx+PFj/PrrrybbrdVq8ejRI/5roVAINzc3kz1ijo6O2Lt3Lzw9PWFtbY2q\\\n",
       "VavmOSfPGIlEgqCgIIwdO9bkqp9qtRrHjh1D7dq1YWtrC2trazg6OqJSpUrw8fFBYGAg9uzZY3Sl\\\n",
       "07wwDIMOHTrg8uXLePLkCTZt2kRzh0sZBUJCiLmgQEgIIRXImDFjSrzOhIQEbN682eC4Vqs1ejwr\\\n",
       "KwsKhQLA/6/iaYyut87YwzLLslAoFPzqnblxHIcNGzaYnBeoVCqh0Wj4h/HGjRtj/vz5eT6Yt2jR\\\n",
       "AgsWLECrVq3QunVrWFpaFnqpf7FYjKFDh8LHxyffsizL8iuTqtVqZGZm4n//+x+GDh2KZs2a4dSp\\\n",
       "U3nOqcxNKpWiUqVK/P6QpHRRICSEmAsKhIQQUoGURhhgWRZz585FZmam3vF79+4Z7cl6d6glwzAm\\\n",
       "Q5VIJELdunXh7+9vsNIlwzCwsLCAu7s7rK2tjd5Tenq6ya0dYmJiwDAMRCIR3N3dsX37dpPbruiI\\\n",
       "xWL06dMHX3/9NTp06ACZTMZvR1EYtra26Nq1a5G+DxzHQaVS4eHDhxg0aBD++uuvfBfrKQqWZZGV\\\n",
       "lYWUlBSkpaUhIyMDaWlpBgvpENMoEBJCzAUFQkIIqUAeP35cKhtYp6en4+uvv+Z75FQqFXr27Gm0\\\n",
       "LMMw/Bw1Y9s66Hz00UcIDQ3F9evXsXr1ari6ukIsFkMsFsPLyws//PADzp49i8uXL6Nr164Gwz1t\\\n",
       "bW2N9hAqFAps374dHMfBxcUFv/76K3x8fCAUCvO9T2trazRv3hz16tXj5xEWNhQyDIMqVaoUuPy7\\\n",
       "BAIBhEIhGIZBVlYWDh8+XKT9DE1RqVTYvHkzqlSpAmdnZ7i5ucHV1RVubm5wd3dHpUqVSuxaHzoK\\\n",
       "hIQQcyHKvwghhJDygOM43Lx5s9TqP3z4MOLj4+Hs7Iw7d+6YXOlTt+CKjq2trdEyX331FWxtbcEw\\\n",
       "DD777DNER0djz549YFkW/fr1w4ABA/hN01esWIEnT54gMjISLMtCIBCgbt26Bj2LWq0WkZGRuHLl\\\n",
       "CjiOQ6VKldC8efMCP5ALBALIZDKIxWL+HF0g1AW1gnj9+nWhgznDMJBIJJBIJGAYBpaWliW6abxG\\\n",
       "o8G6deswe/ZsZGZmlsovDgghhHx4KBASQkg5p+vFevr0qdE5fSUlKSkJAQEBcHd3x/Pnz03Ob9P1\\\n",
       "cunY2dkZlJFKpejevTvf62djY4P58+dj8uTJ0Gg0sLe31wt7fn5+iIiIwL179xAaGoqAgAAEBQVB\\\n",
       "KpXyQ1QTExOxbNkybN++HWlpabCyssKwYcMK3eslFoshEonAcRy0Wi2ysrKQkJAAhmHg7e2d72It\\\n",
       "CoWiSN8HW1tbDBw4EI0bN4ZWq4VEIkGLFi3yXTlWrVaD4ziTC9kAQHJyMmrWrImEhIRCt4sYV5ie\\\n",
       "P+ohJIRUZBQICSGkHPvyyy+hUCgQFxeHyMhIJCYmlur1MjMzERkZmWeZ3FsaREdHG5RxdHQ0KCcQ\\\n",
       "CGBvb2+yXt1ee7n3W2RZFrdv30bv3r0RGxsLjuPAMAwcHR3RvXv3Ag0VzU33sM9xHKKiojBlyhQ8\\\n",
       "evQIvr6+WLduHWrVqmX0IT8nJwfdu3fHy5cvC3291q1b47vvvoODgwNfd369komJiRgzZgxSU1Ox\\\n",
       "ZMkSo3tRJiUloVKlSvxCP6RkUCAkhJgLCoSEEFKObdmyhf9zeXnofHcRGK1WiwcPHhiU8fDwKLH2\\\n",
       "arVajB07FjExMfwxjuPg7u4OFxeXYtXNMAxCQ0Nx6dIlqNVqxMXFoXHjxliyZAlGjRrF92JyHIfY\\\n",
       "2Fi0atUKz58/L9K1fH19YW9vX+A9AtPT09GgQQPExcWB4zg0adIEa9aswdChQ/me1+TkZPj6+lIY\\\n",
       "LAUUCAkh5oIWlSGEkApC1zNmYWFRpF6xkvLuCptJSUlGN5APCAgoseupVCrcvXvX4HiLFi0M5hgW\\\n",
       "xb///gu1Ws1/rVQqMX36dDx+/Jg/plAoMHDgQJNhML/wwHEcIiIiCjyvLyMjAzVr1uR7RIG3n8OI\\\n",
       "ESMwaNAgPHz4EIcPH4avr6/B6rCkZNCiMoQQc0GBkBBCKhCpVIpvvvkGY8eOLXBPU0mytLTEkiVL\\\n",
       "+AfgGzduGN024eOPPy6xa6pUKoPN7QGgd+/eeZ6n0Wjw5s0bpKenmwxiLMsa7eFUqVR6n69IJEJO\\\n",
       "To5BOYZh4Ofnh5UrVyIkJCTPIbG3bt0yuRiNbp6kWq3G+fPnUalSJcTGxhpt765du1CvXj307t0b\\\n",
       "GRkZJq9HiocCISHEXNCQUUIIqUC8vLwwe/ZsSCQSaLVarF69Os/yrq6umDhxIpo0aYLU1FQcOnQI\\\n",
       "hw8fRkpKSqGvLRKJcOvWLb3QY6x3SiwWo02bNoWu35R3VwTVEQgEqF27tslzsrKyMG7cOJw5cwa1\\\n",
       "a9fGtm3b4OTkZFAuMzMTSUlJBsfd3d31tpaQSCTYsWMHGjdujPT0dABvw/Fvv/2GwYMH84vUdO7c\\\n",
       "GY0bNza6IE9aWhoWLFiAX3/9FVZWVuA4DllZWbh16xb++ecfXLp0CY8ePSrQCqHGAjIhhBBSFBQI\\\n",
       "CSGkAvHz84OVlRUEAgEWLFiA9evXGw0fDMNgx44d+OKLL/SO9+nTBwDw/PlzNGzYsMDBkGEY3Lhx\\\n",
       "A9WrV9c73qVLFzg6OiI5ORkA4OLigtDQUHh6egJ426OlUCjAsiysrKyK1JMil8vh7e2NqKgo/piL\\\n",
       "iwvkcrnR8qmpqfDz8+Pb9PLlS4wePRp79+7VG2qr0WjQoUMHveGiwNte2MePHxsMy61atSpSU1P5\\\n",
       "sJb7XhiGQUBAAORyudFhtCzLYtOmTdi+fTukUilycnL4FURJ+UNzCAkh5oKGjBJCSAUSFRXFb9au\\\n",
       "1WpNPohKJBI+/Bnj6+uLJ0+emNxUPjfdlgy5WVlZ4ZdffkGjRo0wduxY3L9/H7Vq1YJAIADHcbh6\\\n",
       "9SqqV68ODw8PDBgwwGDYpW7rh/yu/cUXX+jdq1wuN7qQilarxcCBA/kwqLtGWFgY37MHvN3KYfbs\\\n",
       "2bh9+7ZBHT///HOeW0HkFRTCwsLyHMbJcRyUSiXS09OhUqmKHQYlEgn8/PzQoEEDeHp6QiaTQSAQ\\\n",
       "UEApATRklBBiLigQEkJIBRITE4P4+Hio1WrcvXvXZJiysbHJc986AHBwcMD9+/cREBCQ7wMty7K4\\\n",
       "d++ewXGGYRAcHIy9e/di6dKlelsqcByHefPmITY2FpmZmdi9eze6du0KpVJpUEd+/Pz8+JU1ASA+\\\n",
       "Ph6///470tPTwbIsWJaFWq3Gzp07ceLECYPzU1JS8O+//yI1NRXx8fEYM2YMlixZYhDILC0tMXbs\\\n",
       "2HzbY8yFCxfQqVMno3MqS4NUKkV4eDgeP36MW7duITo6GrGxsZg/fz7s7e31Pi8dCi4FR4GQEGIu\\\n",
       "KBASQkgFolAosGjRIty9excrV6402cNkb29foIdUBwcHXL16Fd27d893g/T+/fsbDE/VbZju4eFh\\\n",
       "EEAZhjHYN/H8+fP4999/9YZdGgsu72JZFn/99Zde0MrKysL8+fMREBCAQYMG4fvvv8eYMWMwceJE\\\n",
       "o0NoVSoVZs2ahSFDhiAoKAhbt241GqYHDBiQ78b0uWm1WgwePBht27Y1GH5amiZOnIjatWvzn59u\\\n",
       "n8cZM2YY9KgCbz/rkliV1VxQICSEmAsKhIQQUoFwHIcdO3Zg+vTpuHTpkslAWJhQY2tri23btmHM\\\n",
       "mDEm5+UBQFxcHL744gt+qCPLskhLS8OrV6+MtoNhGINhqyzLYvfu3YUaKnn79m0cP37c4ByNRoNX\\\n",
       "r15h9+7dWLRoEbZv3643LDT3daOjo3HkyBE8e/bMaBgUiUQYNGhQgdula0OLFi2wffv29zoXUCAQ\\\n",
       "YMaMGUbfE4lEGDZsmEHQZhimTFamrcgoDBJCzAEFQkIIqWDS0tIQFhZmdOESnZycnEIFFBsbG4wf\\\n",
       "Px6dOnXKMzTs378f1apVw9KlS7Fu3TrMnDkT27ZtM7kx+pQpU2BjY6N3TCaTFfghOj4+Hq1atTLa\\\n",
       "66fDcRw0Gk2+C7ToQqypMkKhEMnJyXo9kRqNBo8fP8aJEyfw9OlTvR5AjUaDr776CtevXy/QvZQk\\\n",
       "Nzc32Nramnzfz8/PYFEc3f0TQggh76KxI4QQUsFwHGd0T7x3JSQkQKlUQiaTFahO3Rw8Ly8vyOVy\\\n",
       "pKammiz74sULTJs2DWKxGBKJBAEBARgzZozRspaWloiMjERgYCDi4uJgaWmJMWPGFCgQJiQkoHLl\\\n",
       "yvne67ukUikfDgtLpVLhu+++g6urK6pWrYrY2Fh07NgRycnJ4DgOAoEA3t7e+OWXX1CnTh0cPXoU\\\n",
       "u3fvLvR1CkPXq8eyLB+KhUIh1q9fn+dnKJfLIZFI9D47juNou4pCoFVGCSHmggIhIYRUQPn1/mVk\\\n",
       "ZPCLnORHq9Xi/Pnz+OWXX/Dw4UOoVCowDJPnNViWhVKpBMuykEqlsLa2NlnWxcUFjx8/xrlz5yCT\\\n",
       "ydCoUaN825SdnV2oMMgwDKRSKZo1a4bY2FhERkYWeggnx3GIiIhAmzZtIBAIoFKp9HrUtFotoqKi\\\n",
       "8NVXX6Fly5Z48+ZNqfe46fZbrFq1Kh4/foz09HR88cUX6Ny5c77nyeVygyG01ENYcBQICSHmggIh\\\n",
       "IYR8gFiWxYABAxAbG5vnYjEsy2Lq1KlYtWoV36tWmIdgOzs7TJo0CVZWVnmWlUql+Pjjj/metvx8\\\n",
       "/vnnJoehGiOXy9GuXTssXLgQ9+/fx9ChQ5GVlWWy3YDxUF2QXjStVovKlSujc+fO0Gq1uHPnTqkF\\\n",
       "LZZlYWFhgQEDBsDd3R1yuRxVqlQxGA6aG8dxtL9hMVEgJISYC5pDSAghH6ikpCR07949z2Cwbt06\\\n",
       "LF++nF8o5t15ZnkFN4FAgFq1auHPP/9Ejx49ChTyCrKiKPB26GZoaGi+5d7VrVs3LF68GNWrV0f3\\\n",
       "7t3RtWtXo+UsLS3Rr18/NGzYsEBtyU0oFGL8+PFYtGgRxo0bh8uXL+PMmTNo1qwZbG1tIZfLYWdn\\\n",
       "BwcHB1hYWBQ7KHAch//++w/nz5+HQCCAq6trgRaGSU9P19uLkRQerTJKCDEXFAgJIeQDFhoaiiVL\\\n",
       "lhh9T6VSYerUqXkusmKsJ0oul+Pnn3/GlStX0KpVqwKvXKmbp5hfz9WdO3cMeukkEgmsra2Ntkcg\\\n",
       "EODLL7+Er68vhEIhLCwssHz5coP5k9bW1nj8+DF27dqFw4cP57miqjHW1tY4ceIEfv75Z8jlcv5a\\\n",
       "bdq0QVhYGJKSkpCamorExETExMTgwoULaNCggcn9AAsaIrKysrBq1Sp8+eWX2Lp1K1JSUvIsz7Is\\\n",
       "Pv/8c5ovWEwUCAkh5oICISGEfOCmTZuGPXv2GBx/9uyZyWGZAoEAEokEEokEQqEQDMNAKBTC1dUV\\\n",
       "+/btw7fffgsrK6t8H4Q5joNarUZkZCSmTp2KTp06YdSoUbh//77RrR/S0tLw1VdfgeM4MAwDuVyO\\\n",
       "H3/8ES9fvkRMTAy2b99udAisVCrVa4ubmxtGjBjBhzG5XI7IyEh4enpCKBTCzc0NtWrVyrPtwNtQ\\\n",
       "7OPjgwMHDiApKQkdOnQwGfCEQiFEIhFEIhEsLS3RuHFj7N69G/Xq1YNEIoFAIIBAIIBIJOI/14JS\\\n",
       "KpW4e/cupk+fjvr16+P48eNGP7/s7Gx8/PHHOHnyZIHrJsZRICSEmAuaQ0gIIR84juPwxRdf4Pbt\\\n",
       "2/j5558hFAqh1WqxceNGo711QqEQVlZWkMlkUCqV/DBSuVyO4cOHo3379kbDjFarRVZWFqKjoxER\\\n",
       "EYGwsDBcuHABT548QXZ2Nj8U9ezZs9i4cSMsLS3RoUMHDBkyBDY2Njh06BC2bduGjIwMAG+3p9i3\\\n",
       "bx86d+7Mh7C+ffti2bJluHHjBn9dlmWxb98+VKtWDe7u7gDePsyPHz8et27dQnZ2Nnbt2gVXV1f+\\\n",
       "HIZh0KtXL1y9etXoZyaRSDBo0CCsWrUqzzmYeWEYBlWqVMHSpUuxZMkSPHr0iF+IJzMzk7/PwtBq\\\n",
       "tYiNjUXXrl1hb2+Pnj17IigoCMnJyThw4ABu3bqV7wqrH0J4mTJlSr7zVgkhhBQMBUJCCDEDHMdh\\\n",
       "0aJF2LBhA7799ltkZmZi8+bNemUYhoFMJoOXlxcqV64MlmURGxvLr6bp6+uLjh07QiQSGdQdHx+P\\\n",
       "WbNm4a+//kJmZma+i6xwHIesrCz8888/+Oeff4yWsbW1Rdu2bfV65IRCodGtNHbs2IHk5GSsW7cO\\\n",
       "crmc7z0bOnQo6tatC39/f4NzGjZsCJFIpLfHoYWFBebMmYMpU6ZAIpHkeQ8FIRQKERgYiB9++AER\\\n",
       "ERH43//+h8uXLxd7IRqO45CcnIytW7di69atxW4nMUSLyhBCzAUFQkIIMSMpKSmYPXu2wbYSIpEI\\\n",
       "jo6OCAoKQrt27eDh4YHs7Gw8ePAADx48QE5ODho1aoRKlSoB+P8VOpVKJTZv3owZM2YUqccrL8aG\\\n",
       "s2ZmZuL+/fsGx9PT03HgwAFER0ejS5cuUKlUuH//PsRiMapXr25QXqvVIi0tDV5eXkhJSYGHhwd+\\\n",
       "+OEH9OzZs8BzIgtCF7IDAgLg6ekJd3d33Lx5k+95JeUXBUJCiLmgQEgIIWYodxjhOA5arRZqtRoS\\\n",
       "iQTe3t5wcnJC69atkZOTA7VaDblcDnt7e7Asy/ceDhkyBJcvXy6VbRfS09Nx7tw5dO7cGQzDQKlU\\\n",
       "YtasWUhKSjJaXq1WIywsDFeuXOGPCQQCXLp0CcuXL8dHH30EsViMV69eYevWrTh9+jT8/f0xYcIE\\\n",
       "fPTRRyXSI2iMQCCAVCqFUChE5cqVoVKp9HolSflEgZAQYi4oEBJCSAUjEAhgY2MDlUoFhUJRIj1N\\\n",
       "Wq0WSUlJOH78OCIjI/H999/D398fcrmcH7Kpuw7Lsnj9+jVGjhyJS5culVpPF8uy6NevH7744gv4\\\n",
       "+Phg9+7dePjwYb7Xe/d9rVaLly9fol+/fhCJRHzwBd4+xPv7+6Np06alFgZ1GIaBSCSCra0tUlNT\\\n",
       "qXewAqBASAgxFxQICSGkgrGyskLTpk0RHx/PL1SiCxh5bbqeH92m7A8fPsSGDRvQq1cvvcVjdHUz\\\n",
       "DIP09HTcuHGj1INNdnY2Nm7cWOx6dKud5j727NkzJCUlwcnJqdjX0GFZFhkZGdBqtbC2tuaHoOoC\\\n",
       "RmJiYold610CgQDVqlXDlClTUK9ePeTk5ODatWvYt28f7t+/z//ygMJowVAgJISYC9p2ghBCKpic\\\n",
       "nBzcv38f8fHxfM+TVCqFq6sr6tatCxcXl2I9oHIchxs3bpgcBsowDKytrfNdzbIiUKvVmDFjRomF\\\n",
       "JK1Wi/nz58PPzw81a9bEwoULkZ2dzQex169f57uPYFFYWVkhPDwc9+/fx1dffYXAwEC0atUK3377\\\n",
       "La5du4bExETcu3cPW7ZsKfFrE0IIqdgoEBJCSAWjUqnw8uVLvH79GkqlEgDg7u6OcePGYcGCBejQ\\\n",
       "oUOh9rgzJjs7O8/A5+DgAAcHh2Jdo7w4fPiw0YVq1Gq10b3+8hIZGYmff/4ZSUlJSEhIwNy5c9G2\\\n",
       "bVs8fPgQr169wtKlS0t0w3iBQIBatWrhxYsXqF+/vtFfBOgWtqlRowaGDBlSYtf+0NE+hIQQc0GB\\\n",
       "kBBCKiBdjxPLstBoNBCJRGjRogXq1q2LmjVrFrt+lmURExNj8n2xWIz27dsbbNIuFAphY2MDe3t7\\\n",
       "g+0pyiutVosmTZrg8OHDSE5Oxv3799GnTx94enpi4sSJhQpwERERegvG6HpbmzRpgs6dO2PXrl1F\\\n",
       "7o0UCATw9vbG8OHD8dtvv+Hw4cOIiorCf//998GE8/KEAiEhxFxUjH+tCSGEmMRxHOLi4vDw4UO4\\\n",
       "ubkhISGhRFb9/O6773Do0CGjD7tarRbNmzfHiRMn+CGQNjY2aNq0KTp06ACVSoUDBw7gv//+K9Ee\\\n",
       "sdKSnZ2NXr16QSAQgGVZPrStWbMGffv2Rdu2bQtUT8OGDQ229ADebpdx7969IrdPIBBg27Zt6N+/\\\n",
       "v0EIJ6WD5hASQswFBUJCCCnHjIULY7Kzs/HTTz/h3LlzuHjxYokEwqNHj+Lbb7/FrFmzIJfLwXEc\\\n",
       "NBoN0tLSEBERgbt378LLywv29vaoVKkSevfujY4dO8LR0REqlQoNGjTA6tWrERYWhoyMDLAsC4FA\\\n",
       "AIZhoNFooNFoTN5bQe+7JL27AqmOVqvFnDlzcPbsWb1huBzHGQ0BPj4+cHR0xJs3b4zWX1RVq1Yt\\\n",
       "sTD4ISwqExISUuq/aKBASAgxF/RrRkKIUWq1GtOnT0edOnUgl8vh4eGBwYMHIy4uLt9zV61aBV9f\\\n",
       "X1hYWKBp06a4fv263vs5OTkYN24cHB0dYWVlhb59+yIhIaG0bqVCe/nyJS5fvowGDRrk+9D56tUr\\\n",
       "/PXXXyX2WbIsi6VLl8LFxQXW1tawsbGBg4MD/Pz80Lt3b+zatQuJiYmoUqUKRo8ejc8//xxVqlSB\\\n",
       "vb09XFxc0LZtW2zatAlnz57F2bNncevWLTx79gwxMTF4+PAhRo8ebXRYqUgkgouLCywtLUvkPoor\\\n",
       "PDwciYmJ/DBdhUKB58+fIyUlxSBcCQQCHD161OT3qqjB4aOPPqKewfeMhowSQswF/etCCDEqOzsb\\\n",
       "t27dwvfff49bt27hr7/+wqNHj9CzZ888z9u7dy8mT56MuXPn4tatW6hXrx46deqE169f82UmTZqE\\\n",
       "w4cPY//+/Th//jzi4uLQp0+f0r6lCsnDwwMtWrTAzZs3MWnSpHzLl8YG8bp5irqXbv/DtLQ0vHr1\\\n",
       "CklJSQgICICtrS2EQiEYhoFAIIBEIoGjoyNq1qyJpk2bolatWnB3d4ejoyOqVKmC3377DcHBwQbX\\\n",
       "EwgEaNmyJfr27VsuQqFCocC2bduQk5MDpVKJqKgoHDp0CDdv3jS6wXxgYCB8fX2N1iUUCos0tzIy\\\n",
       "MrLYPXvGekAJIYQQCoSEEKNsbW1x6tQpfPrpp6hevTqaNWuGlStXIjw8HNHR0SbPW7p0KUaMGIFh\\\n",
       "w4ahZs2aWLt2LSwtLbF582YAQFpaGjZt2oSlS5eiffv2aNSoEbZs2YKwsDBcvXr1fd1ehSMQCDBt\\\n",
       "2jR+T7vyQqPRICkpCSKRKM9eMWPviUQi9OrVy+A9lmVhbW2NNm3amAxWedVb0jiOw6VLl5CVlQW1\\\n",
       "Wg2O42BlZWVyM3uGYdCrVy+j7wmFwiJ9DyMiIoo1RDIrKwvnzp3D4sWLi1yHuaEeQkKIuaBASAgp\\\n",
       "sLS0NDAMAzs7O6Pvq1QqhIeHo2PHjvwxgUCAjh074sqVKwDeDr9Tq9V6ZQICAuDt7c2XIca5urqW\\\n",
       "u33kOI7Dy5cvkZycXKSH4i5duhgMhdRoNEhOTkb79u2xdetWuLu7G5xnaWmJkSNHYuPGjejZs2ep\\\n",
       "B+WLFy/i6dOnEAgE8PHxQe/evdGoUSOTvX1Tp041+nm8u2BNYcTGxqJFixbIyMgo1Hksy2LcuHGw\\\n",
       "tbVF+/btMXPmzEJf21xRICSEmAsKhISQAsnJycH06dPRv39/2NjYGC3z5s0baLVauLq66h13dXVF\\\n",
       "fHw8ACA+Ph4SicQgVL5bxhilUon09HS9lzkaMGAA/vzzz3I1nywnJweffvppkTaqt7e3N/rzdOvW\\\n",
       "LTg7O6NRo0a4e/euXigUi8XYu3cv1qxZgy+//BKHDh2CQqFAVFRUqW11kZqaiq1bt0IikcDKyoqf\\\n",
       "/2oqCJhadEatViMnJ6dIbbh16xZsbGzg6emJ1NTUfMtnZWXB1tYWq1evpqGiRURhkBBiDsrPEwUh\\\n",
       "pEzt3LkTVlZW/OvixYv8e2q1Gp9++ik4jsOaNWvKpH0hISGwtbXlX5UqVSqTdpQHwcHBGDNmTLna\\\n",
       "5y8mJgYrVqww+h7HcUhISMDt27ehUCj03hMIBKhfv77BOWlpaRAIBBAIBLC3t0eTJk30Hrw9PDz0\\\n",
       "vhYKhfD19cXgwYNL5oaMOHDgQIGGbSqVSowfP75U5nMCQFxcHNq0aZNnsFSpVOjZsycyMzNLpQ3m\\\n",
       "4H32EFK4JISUJQqEhBAAQM+ePXHnzh3+1bhxYwD/HwZfvHiBU6dOmewdBAAnJycIhUKDVS4TEhLg\\\n",
       "5uYGAHBzc4NKpTLo4Xi3jDEzZ85EWloa/8pr0/QPnVAoxOLFi3Ho0CF06NAB1tbW5eJBcsaMGYiM\\\n",
       "jDQ4/vLlSzRq1AhNmzZFQEAAYmNj9d43tqCQUqnkAw/HcUhLS+OHWmo0GqPXAYCffvqp1D6LN2/e\\\n",
       "YPv27QZDPtVqNWJiYrB//34MHz4clStXxqFDh0qlDTrPnj3D9evXoVKp+EV/cnJykJKSgvDwcHTq\\\n",
       "1Alnz54t1TZ86N5XICxPv9ghhJgnCoSEEACAtbU1qlatyr9kMhkfBiMjIxEaGgpHR8c865BIJGjU\\\n",
       "qBFOnz7NH2NZFqdPn0bz5s0BAI0aNYJYLNYr8+jRI0RHR/NljJFKpbCxsdF7mQPdVge5XxYWFujy\\\n",
       "f+3de1BU5/3H8c8ulwW5GVFBEhEmiVqvtCjI6FirVkytiNJoMxGNtV5aMWPoxWRSxU6b2kYbqRk0\\\n",
       "fxiNBUYNnTi51HEmxSgmig6gzUVlLFHIqHjnEpGLcH5/OO4vuyxykQX0vF8zO+M+53vOeZ4TJ7Mf\\\n",
       "n3Oe88wz2r9/v06fPq1p06Z1+22kjY2NioqKUmVlpUPb8uXLdeHCBTU0NKisrExDhgyxh0LDMBQZ\\\n",
       "GdnsB/WdO3d04sQJ3blzRxUVFSosLLRvMwxD7777rss+9O/fXz4+Ps3afX19NWvWLM2fP199+/bt\\\n",
       "0A94wzC0cuVKZWdnq6amRjU1NTp8+LBGjx6tyMhIzZ07V9u3b9elS5fc+q4/q9WqESNGyGKx6H//\\\n",
       "+5+2bdumsWPHqn///goJCVFMTIwOHjz4SLxvsDt1RSBMSUnhdl4A3Y5/lgLgUkNDg372s5+pqKhI\\\n",
       "H330kRobG+3P+PXp08e+wuKUKVM0e/ZspaSkSJJSU1O1cOFCjRkzRjExMUpPT9etW7e0aNEiSXdX\\\n",
       "L128eLFSU1PVp08fBQYGauXKlYqLi9O4ceO6Z7A92L0QbrFYFBgYqGeeeUZr1qxRaGioLBaLPD09\\\n",
       "9fjjj+uf//ynvve97+nGjRvd2t+amhrFxMSoqKhIvr6+unnzpo4cOeJQc+vWLQ0fPlx5eXkKDw/X\\\n",
       "mTNnmr2I3jAMvfrqq8rIyNCOHTua3fqYl5fn8jk9q9WqJUuWaPPmzfa2fv366eTJkxowYIAsFosa\\\n",
       "GxuVl5fXoVsq79y5owULFmjp0qWS7j4/2ZXBKzAwUOnp6UpKSpKnp6c+++wz/f73v3cI4eg+eXl5\\\n",
       "Sk5Otn+fMGGCli1b1mJ9RkaGpJafOQWArkAgBODShQsX9MEHH0hSs2e8PvnkE02aNEmSVFJSomvX\\\n",
       "rtm3zZs3T1evXtXatWtVXl6uqKgo7d+/32GhmU2bNslqtSopKUl1dXWKj4/Xli1b3D6mh9HNmzft\\\n",
       "f75x44a2bt2q/Px8HTt2zGFlzeDgYA0ePLjLXt3hHOC+6+zZs9q4caNefPFFlZSUuHzWrbKyUuPH\\\n",
       "j9f06dP11VdfuTzWiRMnlJycrNLS0mbbKyoq1NDQ4PLVDxs2bNCJEyd08uRJRUVFad++ffL397dv\\\n",
       "9/Dw0I9+9COVlZVp0KBB7V65897L6R+Uj4+PIiIi5OfnpwsXLuj69estLsxjsViUkJCgXbt2ydfX\\\n",
       "194eGhrKc4Ju0p6Zv3t1ZWVlysrKsrdnZWW1GAjv7bNp06YH7CkAPBgCIQCXIiIi2jTzcf78+WZt\\\n",
       "KSkp9hlDV3x8fJSRkWH/13G0z3//+19dv37d4ZlLDw8PjRo1qs2B8Ls/dtuz+InVatW4ceM0Z84c\\\n",
       "7dy5U1988UWzGsMwtHPnTiUmJqqqqqrFW1m//fZb7d27t8VwWV9fr7Nnz7q8pa6xsVHV1dUub2P2\\\n",
       "9vbWwYMH7YGxpR/1jz32mHbu3OnyGUabzSYvLy+3ha1evXpp8+bNSkhIkIeHh86cOaOXX35ZR48e\\\n",
       "dfmy+6FDhyonJ6fZ6zXCw8O5NdRNOhIIw8PDNXHiRHv7hAkTXNaHh4dLuvt3ddWqVQ/WUQB4QARC\\\n",
       "AHjINDU1qaCgQD/96U8d2p9++uk27W+1WuXh4WH/EXvnzp02hUKr1arMzEz9/Oc/l9Vq1bJlyxQR\\\n",
       "EaHr1683q71x44aqq6sVEBAgX19f1dTUuDxma89PNTY2thh4bt261eJzrVarVTabrZURST/+8Y/l\\\n",
       "4eHh0A+LxaKnnnpKI0eO1J49e9wSuCZPnqy5c+fKz89PkjRy5EhNnDixxUC/cuVKl+9a9PPzk9Vq\\\n",
       "dduKpmbWkUA4ceJEZWZmtlp/b1Gs+vr6ZuewWCwqKChQdHR0O3sMAB3DojIA8BD6/PPPm7X169ev\\\n",
       "TftaLBb7Kx2sVmubf/QOHz5c8+bNs8/4+fv7a/r06S5rGxsbZbFY5O/vr169erXp+K7cL4x1Rgjy\\\n",
       "8fFxucrjsGHDNH36dLcs1GO1WjVp0iT5+PjYQ4enp6c8PT1djtdisWjEiBEtHsvDw6PFc/FcWse5\\\n",
       "c1GZxYsXy2azOXzusdlshEEAXYoZQgDowdozO7Vw4UItXLjQjb1pLisry+GZKVfKysq6qDft5+np\\\n",
       "ed/3+XXV9fT19dW6deu0bt26du1ntVo7/KJ73F9HZgjbatu2bdq2bZvLY/DfE0BXY4YQAAAAAEyK\\\n",
       "GUIAAAAn7pwhdIXFgQB0FwIhAACAk64OhADQXQiEAAAATgiEAMyCQAgAAOCEQAjALAiEAAAATgiE\\\n",
       "AMyCVUYBAAAAwKSYIQQAAHDCDCEAsyAQAgAAOCEQAjALAiEAAIATAiEAsyAQAgAAOCEQAjALAiEA\\\n",
       "AIALBD0AZsAqowAAAABgUswQAgAAOOGWUQBmQSAEAABwQiAEYBYEQgAAACcEQgBmQSAEAABwQiAE\\\n",
       "YBYEQgAAACcEQgBmQSAEAABwQiAEYBa8dgIAAAAATIoZQgAAACfMEAIwCwIhAACAEwIhALMgEAIA\\\n",
       "ADghEAIwCwIhAACAEwIhALMgEAIAADghEAIwC1YZBQAAAACTYoYQAADACTOEAMyCQAgAAOCEQAjA\\\n",
       "LAiEAAAATgiEAMyCQAgAAOCEQAjALAiEAAAATgiEAMyCVUYBAAAAwKSYIQQAAHDCDCEAsyAQAgAA\\\n",
       "uEDQA2AGBEIAAAAnzBACMAsCIQAAgBMCIQCzIBACAAA4IRACMAsCIQAAgBMCIQCz4LUTAAAAAGBS\\\n",
       "zBACAAA4YYYQgFkQCAEAAJwQCAGYBYEQAADACYEQgFkQCAEAAJwQCAGYBYEQAADACYEQgFmwyigA\\\n",
       "AAAAmBQzhAAAAE7cOUPoqt7f31/V1dXtOg4AdAZmCAEAAJzcC4Rt/XSEr6+vvL29JUnffvutfvvb\\\n",
       "33bmEACgTQiEAAAATtwZCA3DkGEYqqmpUV1dnWJjYyVJf//7390xFAC4L24ZBfBIq6+v1/r167u7\\\n",
       "GwA6UX19vdvP0ZFbRvPy8pScnGxvnzBhgpYtW9bq/sXFxZIkm83WgZ4CwIMhEAJ45HXFj0cAj5aO\\\n",
       "BMKysjJlZWXZ27OysloNhF9//bUqKiokSbW1tR3rLAA8AAIhAABAJwgPD9fEiRPt3ydMmNDqPk8+\\\n",
       "+aQkKSIiwl3dAoD7IhACAAA46cgM4cSJE5WZmdmuc0hSv379dO7cufZ3EgA6AYvKAGiT5cuXy2Kx\\\n",
       "KD09vdXajIwMRUREyMfHR7GxsTp+/LjD9traWq1YsULBwcHy9/dXUlKSLl++7KaeA0D7uXNRmZs3\\\n",
       "b9r3CQwM1JUrV9wxBABoEwIhgFbt3btX+fn5CgsLa7V2z549Sk1NVVpamoqKijR69GjFx8c7/OB5\\\n",
       "6aWX9OGHHyonJ0eHDh3SxYsXNWfOHHcOAQDaxZ2BsE+fPvY/Dxw4UCNGjNCIESP02muvdfYwAKBV\\\n",
       "BEIA93XhwgWtXLlS2dnZ8vLyarX+jTfe0JIlS7Ro0SINGzZMb731lnr16qXt27dLkiorK/X222/r\\\n",
       "jTfe0OTJkxUdHa0dO3boyJEjys/Pd/dwAKDN3PkOwnu++uor++cPf/hDJ/UcANqOQAigRU1NTUpO\\\n",
       "Ttbvfvc7DR8+vNX6+vp6FRYWaurUqfY2q9WqqVOn6ujRo5KkwsJCNTQ0ONQMHTpU4eHh9hoA6G5d\\\n",
       "8R5CVx8A6GosKgOgRX/729/k6empF198sU31165dU2Njo0JCQhzaQ0JCdObMGUlSeXm5vL291bt3\\\n",
       "72Y15eXlLR67rq5OdXV19u9VVVVtHAUAAABawgwhAElSdna2/P397Z9Dhw7pH//4h955550HviWq\\\n",
       "M6xfv15BQUH2z8CBA7u7SwAeYe6cIQSAnoRACECSlJCQoJMnT9o/R44c0ZUrVxQeHi5PT095enqq\\\n",
       "tLRUv/nNb1p8X1bfvn3l4eHRbMXQy5cvKzQ0VJIUGhqq+vp6+4uYXdW48sorr6iystL++eabbx5o\\\n",
       "vABwPwRCAGbBLaMAJEkBAQEKCAiwf1+6dKlmzpzpUBMfH6/k5GQtWrTI5TG8vb0VHR2t3NxcJSYm\\\n",
       "Srr7HGJubq5SUlIkSdHR0fLy8lJubq6SkpIkScXFxSorK1NcXFyL/bPZbLLZbA8yRABos468hxAA\\\n",
       "HkYEQgAuBQcHKzg42KHNy8tLoaGhGjJkiL1typQpmj17tj3wpaamauHChRozZoxiYmKUnp6uW7du\\\n",
       "2UNkUFCQFi9erNTUVPXp00eBgYFauXKl4uLiNG7cuK4bIADcB4EQgFkQCAE8kJKSEl27ds3+fd68\\\n",
       "ebp69arWrl2r8vJyRUVFaf/+/Q4LzWzatElWq1VJSUmqq6tTfHy8tmzZ0h3dBwCXCIQAzIJACKDN\\\n",
       "zp8/36a2lJQU+4yhKz4+PsrIyFBGRkYn9g4AOg+BEIBZsKgMAAAAAJgUM4QAAABOmCEEYBYEQgAA\\\n",
       "ACcEQgBmQSAEAABwQiAEYBYEQgAAACcEQgBmQSAEAABwQiAEYBasMgoAAAAAJsUMIQAAgBNmCAGY\\\n",
       "BYEQAADACYEQgFkQCAEAAJwQCAGYBYEQAADACYEQgFkQCAEAAJwQCAGYBauMAgAAAIBJMUMI4KFk\\\n",
       "GEZ3dwFAD/cg/5+orq5u88xfdXV1h88DAN2NQAjgoVRdXa0//vGP3d0NAD1YdXW1goKC2rVPdHS0\\\n",
       "srKyNHDgwHafLzo6ut37AEB3sxj8MzuAh1BTU5MuXryogIAAUz+/U1VVpYEDB+qbb75RYGBgd3en\\\n",
       "23Ad7uI63GUYhqqrqxUWFiartf1Px6Snp6uwsLBd+0RHR2vVqlXtPhcAdDcCIQA8xKqqqhQUFKTK\\\n",
       "ykpTBwCuw11cBwBAe7GoDAAAAACYFIEQAAAAAEyKQAgADzGbzaa0tDTZbLbu7kq34jrcxXUAALQX\\\n",
       "zxACAAAAgEkxQwgAAAAAJkUgBAAAAACTIhACAAAAgEkRCAGgB2loaNDq1as1cuRI+fn5KSwsTAsW\\\n",
       "LNDFixdb3TcjI0MRERHy8fFRbGysjh8/7rC9trZWK1asUHBwsPz9/ZWUlKTLly+7aygPpLWxOMvJ\\\n",
       "ydHQoUPl4+OjkSNHat++fQ7bDcPQ2rVrNWDAAPn6+mrq1Kk6e/asO4fwwNavX6+xY8cqICBA/fv3\\\n",
       "V2JiooqLi1vd71G8FgAA9yEQAkAPUlNTo6KiIq1Zs0ZFRUV67733VFxcrISEhPvut2fPHqWmpiot\\\n",
       "LU1FRUUaPXq04uPjdeXKFXvNSy+9pA8//FA5OTk6dOiQLl68qDlz5rh7SO3WlrF815EjR/Tcc89p\\\n",
       "8eLFOnHihBITE5WYmKgvv/zSXvP6669r8+bNeuutt3Ts2DH5+fkpPj5etbW1XTWsdjt06JBWrFih\\\n",
       "/Px8ffzxx2poaNC0adN069atFvd5VK8FAMCNDABAj3b8+HFDklFaWtpiTUxMjLFixQr798bGRiMs\\\n",
       "LMxYv369YRiGUVFRYXh5eRk5OTn2mtOnTxuSjKNHj7qv8x3Q2liczZ0715gxY4ZDW2xsrLFs2TLD\\\n",
       "MAyjqanJCA0NNTZs2GDfXlFRYdhsNmPXrl1uGIF7XLlyxZBkHDp0qMUas1wLAEDnYYYQAHq4yspK\\\n",
       "WSwW9e7d2+X2+vp6FRYWaurUqfY2q9WqqVOn6ujRo5KkwsJCNTQ0ONQMHTpU4eHh9pqeoC1jcXb0\\\n",
       "6FGHekmKj4+31587d07l5eUONUFBQYqNje1RY29NZWWlJKlPnz4t1pjlWgAAOg+BEAB6sNraWq1e\\\n",
       "vVrPPfecAgMDXdZcu3ZNjY2NCgkJcWgPCQlReXm5JKm8vFze3t7NQuV3a3qCtozFWXl5eatjv9fW\\\n",
       "1mP2NE1NTVq1apXGjx+vESNGtFhnhmsBAOhcBEIA6EbZ2dny9/e3fw4fPmzf1tDQoLlz58owDG3d\\\n",
       "urUbe4nutmLFCn355ZfavXt3d3cFAPCI8ezuDgCAmSUkJCg2Ntb+/fHHH5f0/2GwtLRUBw4caHF2\\\n",
       "UJL69u0rDw+PZiuGXr58WaGhoZKk0NBQ1dfXq6KiwmGW8Ls1PUFbxuIsNDS01bHfaxswYIBDTVRU\\\n",
       "VCf23j1SUlL00UcfKS8vT0888cR9ax/1awEA6HzMEAJANwoICNBTTz1l//j6+trD4NmzZ/Wf//xH\\\n",
       "wcHB9z2Gt7e3oqOjlZuba29rampSbm6u4uLiJEnR0dHy8vJyqCkuLlZZWZm9pidoy1icxcXFOdRL\\\n",
       "0scff2yvj4yMVGhoqENNVVWVjh071qPG7swwDKWkpGjv3r06cOCAIiMjW93nUb0WAAA36u5VbQAA\\\n",
       "/6++vt5ISEgwnnjiCePkyZPGpUuX7J+6ujp73eTJk40333zT/n337t2GzWYz3nnnHePUqVPG0qVL\\\n",
       "jd69exvl5eX2muXLlxvh4eHGgQMHjIKCAiMuLs6Ii4vr0vG1RWtjSU5ONl5++WV7/WeffWZ4enoa\\\n",
       "GzduNE6fPm2kpaUZXl5exhdffGGv+etf/2r07t3beP/9943PP//cmDVrlhEZGWncvn27y8fXVr/6\\\n",
       "1a+MoKAg4+DBgw5/D2pqauw1ZrkWAAD3IRACQA9y7tw5Q5LLzyeffGKvGzRokJGWluaw75tvvmmE\\\n",
       "h4cb3t7eRkxMjJGfn++w/fbt28avf/1r47HHHjN69eplzJ4927h06VIXjKr97jeWH/7wh8bChQsd\\\n",
       "6t99911j8ODBhre3tzF8+HDj3//+t8P2pqYmY82aNUZISIhhs9mMKVOmGMXFxV0xlA5r6e/Bjh07\\\n",
       "7DVmuRYAAPexGIZhdM/cJAAAAACgO/EMIQAAAACYFIEQAAAAAEyKQAgAAAAAJkUgBAAAAACTIhAC\\\n",
       "AAAAgEkRCAEAAADApAiEAAAAAGBSBEIAAAAAMCkCIQDgofD2229r2rRpbj/P/v37FRUVpaamJref\\\n",
       "CwCA7kYgBAD0eLW1tVqzZo3S0tLcfq7p06fLy8tL2dnZbj8XAADdjUAIAOjx/vWvfykwMFDjx4/v\\\n",
       "kvO98MIL2rx5c5ecCwCA7kQgBAB0matXryo0NFR/+ctf7G1HjhyRt7e3cnNzW9xv9+7dmjlzpkPb\\\n",
       "pEmTtGrVKoe2xMREvfDCC/bvERER+vOf/6wFCxbI399fgwYN0gcffKCrV69q1qxZ8vf316hRo1RQ\\\n",
       "UOBwnJkzZ6qgoEAlJSUdHywAAA8BAiEAoMv069dP27dv17p161RQUKDq6molJycrJSVFU6ZMaXG/\\\n",
       "Tz/9VGPGjOnQOTdt2qTx48frxIkTmjFjhpKTk7VgwQLNnz9fRUVFevLJJ7VgwQIZhmHfJzw8XCEh\\\n",
       "ITp8+HCHzgkAwMOCQAgA6FI/+clPtGTJEj3//PNavny5/Pz8tH79+hbrKyoqVFlZqbCwsA6fb9my\\\n",
       "ZXr66ae1du1aVVVVaezYsXr22Wc1ePBgrV69WqdPn9bly5cd9gsLC1NpaWmHzgkAwMOCQAgA6HIb\\\n",
       "N27UnTt3lJOTo+zsbNlsthZrb9++LUny8fHp0LlGjRpl/3NISIgkaeTIkc3arly54rCfr6+vampq\\\n",
       "OnROAAAeFgRCAECXKykp0cWLF9XU1KTz58/ftzY4OFgWi0U3b95s9biNjY3N2ry8vOx/tlgsLbY5\\\n",
       "v2bixo0b6tevX6vnBADgYUYgBAB0qfr6es2fP1/z5s3Tn/70J/3yl79sNjv3Xd7e3ho2bJhOnTrV\\\n",
       "bJvzbZ5ff/11p/SxtrZWJSUl+v73v98pxwMAoKciEAIAutSrr76qyspKbd68WatXr9bgwYP1i1/8\\\n",
       "4r77xMfH69NPP23W/v777+u9995TSUmJXnvtNZ06dUqlpaW6cOHCA/UxPz9fNptNcXFxD3QcAAB6\\\n",
       "OgIhAKDLHDx4UOnp6crMzFRgYKCsVqsyMzN1+PBhbd26tcX9Fi9erH379qmystKhfcaMGXr99dc1\\\n",
       "bNgw5eXlacuWLTp+/LgyMzMfqJ+7du3S888/r169ej3QcQAA6OksxnfX2QYAoId69tln9YMf/ECv\\\n",
       "vPKKpLvvIYyKilJ6enqnnufatWsaMmSICgoKFBkZ2anHBgCgp2GGEADwUNiwYYP8/f3dfp7z589r\\\n",
       "y5YthEEAgCkwQwgAeCi5a4YQAAAzIRACAAAAgElxyygAAAAAmBSBEAAAAABMikAIAAAAACZFIAQA\\\n",
       "AAAAkyIQAgAAAIBJEQgBAAAAwKQIhAAAAABgUgRCAAAAADApAiEAAAAAmBSBEAAAAABMikAIAAAA\\\n",
       "ACZFIAQAAAAAkyIQAgAAAIBJEQgBAAAAwKT+Dw6mtWROrQk3AAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[16] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAmplJREFUeJzs3Xd4U9XjBvD3Jmk60r1bCrTsvbcUkGEVlCV7CIhUkc1XliKy\\\n",
       "EVBARERBQZYMUVAZsjeUvfcqtKV7N23SJPf3B0/zI03SXdqS9/M8ebTnnnvuuW3R+3LOPUcQRVEE\\\n",
       "ERERERERWRxJSXeAiIiIiIiISgYDIRERERERkYViICQiIiIiIrJQDIREREREREQWioGQiIiIiIjI\\\n",
       "QjEQEhERERERWSgGQiIiIiIiIgvFQEhERERERGShGAiJiIiIiIgsFAMhERERERGRhWIgJCIiIiIi\\\n",
       "slAMhERERERERBaKgZCIiIiIiMhCMRASERERERFZKAZCIiIqkKNHj0IQBBw9erSku0JF7Ny5c5DL\\\n",
       "5QgNDX3l146Li4NCocCePXte+bWJiCwRAyEREeVo5cqVWLduXUl3o0A2b96MZcuWlXQ3AAA6nQ6L\\\n",
       "Fi1CQEAAbGxsUK9ePfz+++95Pj8xMRHBwcHw8PCAQqHAm2++iUuXLhnV27p1KwYNGoSqVatCEAS0\\\n",
       "a9cu33394osv0L9/f1SsWDHf5xaWm5sbPvroI3z55Zev/NpERJZIEEVRLOlOEBFR6VWnTh24u7sb\\\n",
       "jQTqdDqo1WrI5XJIJKXz7xffffdd3LhxA0+ePCnprmDatGn4+uuvMWLECDRt2hS7du3C7t278fvv\\\n",
       "v6Nfv345nqvT6RAYGIirV69i0qRJcHd3x8qVK/Hs2TNcvHgRVatW1ddt164dLl68iKZNm+LKlSuo\\\n",
       "V69evkZxr1y5goYNG+L06dNo2bJlQW+3UG7fvo1atWrh0KFDaN++fYn0gYjIUjAQEhHlQVpaGhQK\\\n",
       "RUl3o0SYC4RlQWkJhOHh4QgICEBwcDBWrFgBABBFEW3btsXjx4/x5MkTSKVSs+dv27YNffv2xfbt\\\n",
       "29GrVy8AQExMDKpVq4Z33nkHmzdv1td99uwZypUrB4lEUqCf3bhx47Bz5048efIEgiAU7IaLQN26\\\n",
       "ddGwYUOsX7++xPpARGQJSudf6RIRFaPw8HAMHz4cvr6+sLa2RkBAAEaOHAm1Wg0AWLduHQRBwLFj\\\n",
       "x/Dpp5/C09MTfn5++vNXrlyJ2rVrw9raGr6+vhg1ahQSExMNrnH//n28//778Pb2ho2NDfz8/NCv\\\n",
       "Xz8kJSXp6xw4cACtW7eGs7Mz7O3tUb16dXz++ee59j8v56lUKnz11VeoUqUKrK2tUb58eUyePBkq\\\n",
       "lcqovY0bN6JZs2aws7ODi4sL2rRpg/379wMA/P39cfPmTRw7dgyCIBhMQTT3DuH27dvRuHFj2Nra\\\n",
       "wt3dHYMGDUJ4eLhBnaFDh8Le3h7h4eHo3r077O3t4eHhgc8++wxarTbX78GuXbvQpUsX/c+wcuXK\\\n",
       "mDNnjsG57dq1w+7duxEaGqrvu7+/v9k2hw4dqq+X/TNz5sxc+5RbfzMzM/Hpp5/qywRBwMiRIxEW\\\n",
       "FoYzZ87keP4ff/wBLy8v9OzZU1/m4eGBPn36YNeuXQY/1/LlyxdqxHbnzp1o3769URg0933w9/fH\\\n",
       "0KFD9V9n/fk5efIkxo4dCw8PDzg7O+Pjjz+GWq1GYmIiPvjgA7i4uMDFxQWTJ0+Gqb+b7tSpE/75\\\n",
       "5x+Tx4iIqOjISroDRESvUkREBJo1a6Z/H6tGjRoIDw/HH3/8AaVSCblcrq/76aefwsPDAzNmzEBa\\\n",
       "WhoAYObMmZg1axY6duyIkSNH4u7du/jxxx9x/vx5nDp1ClZWVlCr1QgKCoJKpcKYMWPg7e2N8PBw\\\n",
       "/Pvvv0hMTISTkxNu3ryJd999F/Xq1cPs2bNhbW2NBw8e4NSpUzn2Py/n6XQ6dO3aFSdPnkRwcDBq\\\n",
       "1qyJ69evY+nSpbh37x527typrztr1izMnDkTrVq1wuzZsyGXyxESEoLDhw/jrbfewrJlyzBmzBjY\\\n",
       "29vjiy++AAB4eXmZ7d+6deswbNgwNG3aFAsWLEBUVBS+++47nDp1CpcvX4azs7O+rlarRVBQEJo3\\\n",
       "b45vvvkGBw8exLfffovKlStj5MiROX4f1q1bB3t7e0ycOBH29vY4fPgwZsyYgeTkZCxevBjAi/fg\\\n",
       "kpKSEBYWhqVLlwIA7O3tzbb58ccfo2PHjgZl+/btw6ZNm+Dp6akvi42NzbFvWRwcHGBtbQ0AuHz5\\\n",
       "MhQKBWrWrGlQp1mzZvrjrVu3NtvW5cuX0ahRI6Og16xZM/z888+4d+8e6tatm6d+5SQ8PBxPnz5F\\\n",
       "o0aNCt1W1u/+rFmzcPbsWfz8889wdnbG6dOnUaFCBcyfPx979uzB4sWLUadOHXzwwQcG5zdu3BhL\\\n",
       "ly7FzZs3UadOnUL3h4iIzBCJiCzIBx98IEokEvH8+fNGx3Q6nSiKorh27VoRgNi6dWtRo9Hoj0dH\\\n",
       "R4tyuVx86623RK1Wqy9fsWKFCED89ddfRVEUxcuXL4sAxO3bt5vtx9KlS0UAYkxMTL76n5fzNmzY\\\n",
       "IEokEvHEiRMG5atWrRIBiKdOnRJFURTv378vSiQSsUePHgb3I4r//70QRVGsXbu22LZtW6PrHDly\\\n",
       "RAQgHjlyRBRFUVSr1aKnp6dYp04dMT09XV/v33//FQGIM2bM0JcNGTJEBCDOnj3boM2GDRuKjRs3\\\n",
       "zvmbIIqiUqk0Kvv4449FOzs7MSMjQ1/WpUsXsWLFirm2Z8r9+/dFJycnsVOnTga/BwDy9Fm7dq1B\\\n",
       "PypVqmR0jbS0NBGAOHXq1Bz7olAoxA8//NCofPfu3SIAcd++fSbPM/ezM+fgwYMiAPGff/4xOgZA\\\n",
       "/Oqrr4zKK1asKA4ZMkT/ddafn6CgIIPfo5YtW4qCIIiffPKJvkyj0Yh+fn4m+3j69GkRgLh169Y8\\\n",
       "95+IiPKPU0aJyGLodDrs3LkT7733Hpo0aWJ0PPsUuREjRhi813Xw4EGo1WqMHz/eYKRmxIgRcHR0\\\n",
       "xO7duwEATk5OAID//vsPSqXSZF+yRsp27doFnU6X53vIy3nbt29HzZo1UaNGDcTGxuo/WYtzHDly\\\n",
       "BMCLqYE6nQ4zZswwGnkqyLtjFy5cQHR0ND799FPY2Njoy7t06YIaNWrovz8v++STTwy+DgwMxKNH\\\n",
       "j3K9lq2trf7fU1JSEBsbi8DAQCiVSty5cyfffc8uLS0NPXr0gIuLC37//XeD34MDBw7k6RMUFKQ/\\\n",
       "Jz09XT9a+LKs71N6enqO/Sns+XkVFxcHAHBxcSl0W8OHDzf4PWrevDlEUcTw4cP1ZVKpFE2aNDH5\\\n",
       "M8/qQ15HZImIqGA4ZZSILEZMTAySk5PzPP0sICDA4OusPdmqV69uUC6Xy1GpUiX98YCAAEycOBFL\\\n",
       "lizBpk2bEBgYiK5du2LQoEH6sNi3b1+sWbMGH330EaZOnYoOHTqgZ8+e6NWrV47vf+XlvPv37+P2\\\n",
       "7dvw8PAw2UZ0dDQA4OHDh5BIJKhVq1aevh+5Mff9AYAaNWrg5MmTBmU2NjZGfXRxcUFCQkKu17p5\\\n",
       "8yamT5+Ow4cPIzk52eDYy+9pFtSIESPw8OFDnD59Gm5ubgbHsk8rzQtbW1uT729mZGTojxfn+fkl\\\n",
       "FsF7exUqVDD4Out3v3z58kblpn7mWX0oyYVtiIgsAQMhEZEZhXnI/vbbbzF06FDs2rUL+/fvx9ix\\\n",
       "Y7FgwQKcPXsWfn5+sLW1xfHjx3HkyBHs3r0b+/btw9atW9G+fXvs37/f7IqTeTlPp9Ohbt26WLJk\\\n",
       "ick2sj+Ql5ScVtXMSWJiItq2bQtHR0fMnj0blStXho2NDS5duoQpU6bka8TVlO+++w6///47Nm7c\\\n",
       "iAYNGhgdj4yMzFM7Tk5O+t8hHx8fHDlyBKIoGgSc58+fAwB8fX1zbMvHx0df92V5PT+vssJvXkJ5\\\n",
       "FnPh0dzP11S5qTay+uDu7p7nvhARUf5xyigRWQwPDw84Ojrixo0bBTo/a5Puu3fvGpSr1Wo8fvzY\\\n",
       "aBPvunXrYvr06Th+/DhOnDiB8PBwrFq1Sn9cIpGgQ4cOWLJkCW7duoV58+bh8OHD+imd5uR2XuXK\\\n",
       "lREfH48OHTqgY8eORp+sEbzKlStDp9Ph1q1bOV4vryM05r4/WWVFtcn50aNHERcXh3Xr1mHcuHF4\\\n",
       "99130bFjR5PTHPM7unTixAl89tlnGD9+PAYOHGiyjo+PT54+W7du1Z/ToEEDKJVK3L5926CtkJAQ\\\n",
       "/fGcNGjQAJcuXTIKuyEhIbCzs0O1atXydZ/m1KhRAwDw+PFjk8dTUlKMyrJGnItaVh+yL8RDRERF\\\n",
       "i4GQiCyGRCJB9+7d8c8//+DChQtGx3ObJtexY0fI5XIsX77coO4vv/yCpKQkdOnSBQCQnJwMjUZj\\\n",
       "cG7dunUhkUj00/7i4+ON2s8KBaamBmbJy3l9+vRBeHg4Vq9ebVQ3PT1dv2Jq9+7dIZFIMHv2bKOg\\\n",
       "8fL9KRQKo201TGnSpAk8PT2xatUqg3vYu3cvbt++rf/+FFbWCNPLfVSr1Vi5cqVRXYVCkecppM+f\\\n",
       "P0efPn3QunVr/UqlphTkHcJu3brBysrKoI+iKGLVqlUoV64cWrVqZdCPO3fuIDMzU1/Wq1cvREVF\\\n",
       "4c8//9SXxcbGYvv27XjvvfdMvl9YEOXKlUP58uVN/vkAYLTFyN69e5GRkVEsW0NcvHgRTk5OqF27\\\n",
       "dpG3TURE/49TRonIosyfPx/79+9H27Zt9VsyPH/+HNu3b8fJkycNtkXIzsPDA9OmTcOsWbPw9ttv\\\n",
       "o2vXrrh79y5WrlyJpk2bYtCgQQCAw4cPY/To0ejduzeqVasGjUaDDRs2QCqV4v333wcAzJ49G8eP\\\n",
       "H0eXLl1QsWJFREdHY+XKlfDz88tx+4G8nDd48GBs27YNn3zyCY4cOYI33ngDWq0Wd+7cwbZt2/Df\\\n",
       "f/+hSZMmqFKlCr744gvMmTMHgYGB6NmzJ6ytrXH+/Hn4+vpiwYIFAF4s///jjz9i7ty5qFKlCjw9\\\n",
       "PfUL1LzMysoKCxcuxLBhw9C2bVv0799fv+2Ev78/JkyYUNAfm4FWrVrBxcUFQ4YMwdixYyEIAjZs\\\n",
       "2GAylDRu3Bhbt27FxIkT0bRpU9jb2+O9994z2e7YsWMRExODyZMnY8uWLQbH6tWrh3r16gEo2DuE\\\n",
       "fn5+GD9+PBYvXozMzEw0bdoUO3fuxIkTJ7Bp0yaDaZTTpk3Db7/9hsePH+v3TezVqxdatGiBYcOG\\\n",
       "4datW3B3d8fKlSuh1Woxa9Ysg2sdP34cx48fB/Divdm0tDTMnTsXANCmTRu0adMmx75269YNf/31\\\n",
       "l9H0VgC4ffs2OnfujK5duyIiIgLfffcdnJyccPr0afz+++/o379/vr835hw4cADvvfce3yEkIipu\\\n",
       "JbG0KRFRSQoNDRU/+OAD0cPDQ7S2thYrVaokjho1SlSpVKIo/v+y+aa2phDFF9tM1KhRQ7SyshK9\\\n",
       "vLzEkSNHigkJCfrjjx49Ej/88EOxcuXKoo2Njejq6iq++eab4sGDB/V1Dh06JHbr1k309fUV5XK5\\\n",
       "6OvrK/bv31+8d+9ejn3P63lqtVpcuHChWLt2bdHa2lp0cXERGzduLM6aNUtMSkoyqPvrr7+KDRs2\\\n",
       "1Ndr27ateODAAf3xyMhIsUuXLqKDg4MIQL9FQPZtJ7Js3bpV356rq6s4cOBAMSwszKDOkCFDRIVC\\\n",
       "YXR/X331lZiX/zWdOnVKbNGihWhrayv6+vqKkydPFv/77z+j/qSmpooDBgwQnZ2dRQA5bkHRtm1b\\\n",
       "s1tImNpuIb+0Wq04f/58sWLFiqJcLhdr164tbty40ahe1pYcjx8/NiiPj48Xhw8fLrq5uYl2dnZi\\\n",
       "27ZtTf6OZn0PC3ofly5dEgEYbVsCQJw4caLYu3dv0dbWVvTx8RFXrFghrlq1SrSzsxM/+ugjURTN\\\n",
       "//nJ6lf2LVNM/S7cvn1bBGDwZ4aIiIqHIIrFMM+DiIiIyqwOHTrA19cXGzZs0JcJgoCvvvoKM2fO\\\n",
       "LPbrjx8/HsePH8fFixc5QkhEVMz4DiEREREZmD9/PrZu3arfSuRViouLw5o1azB37lyGQSKiV4Dv\\\n",
       "EBIREZGB5s2bQ61Wl8i13dzckJqaWiLXJiKyRBwhJCIiIiIislAcISQiIqJccckBIqLXE0cIiYiI\\\n",
       "iIiILBQDIRERERERkYXilFEiKpN0Oh0iIiLg4ODAlQiJyIAoikhJSYGvry8kkvz/3ffixYtx4cKF\\\n",
       "fJ3TpEkTTJo0Kd/XIiIqaQyERFQmRUREYM2aNSXdDSIqpWbNmoVnz57Bz88vX+ctXrwYkydPzvf1\\\n",
       "tm3bBgAMhURU5jAQElGZ5ODgAAAcHSQis7L+O5Ef+R0ZLOi5pv7blbVwz44dO9CrVy+j4wEBAXj0\\\n",
       "6FGB+0dEZArfISSiMolBkIhyU9j/TgiCkKdPUdu4caP+3+3s7PT//vjx4yK/FhERAyERERFRNnkN\\\n",
       "gwUNhaIo6j/Z/fXXX/pjaWlpEEVR/y6kt7d3oe+NiOhlnDJKRERElE1+g54oijh58iT69u2rLwsM\\\n",
       "DMTo0aOLpD86nQ4A0LZt2yJpj4goCwMhERERUTYFGfmLiIjQLy4DvFhopigC4eLFi/X/vnXr1kK3\\\n",
       "R0T0MgZCIiIiomwKEgh9fX3RunVr/deBgYGF7seOHTv0q5726dOn0O0REWXHQEhERESUTUECYevW\\\n",
       "rYt0BO/l1UbfeOMNjg4SUbHgojJEREREpczLYbBRo0Y4efJkCfeIiF5XDIRERERE2RT3KqPBwcGw\\\n",
       "srKClZWVvszKygre3t4GYVAmkyE1NRXVq1dH9erVsW7duqK6RSIiAAyEREREREaKOxCuXr0aGo0G\\\n",
       "Go1GX6bRaBAVFYWPP/7YoOzevXv6z7Bhw4rk/oiIsvAdQiIiIqJsimvT+Sym9h8kIioJDIRERERE\\\n",
       "2RR3ICQiKi0YCImIiIiyYSAkIkvBdwiJiIiIiIgsFEcIiYiIiLLhCCERWQqOEBJRnn399dcQBAHj\\\n",
       "x4/Psd727dtRo0YN2NjYoG7dutizZ4/BcVEUMWPGDPj4+MDW1hYdO3bE/fv3i7HnRET5U9yrjBIR\\\n",
       "lRYMhESUJ+fPn8dPP/2EevXq5Vjv9OnT6N+/P4YPH47Lly+je/fu6N69O27cuKGvs2jRIixfvhyr\\\n",
       "Vq1CSEgIFAoFgoKCkJGRUdy3QUSUJwyERGQpGAiJKFepqakYOHAgVq9eDRcXlxzrfvfdd3j77bcx\\\n",
       "adIk1KxZE3PmzEGjRo2wYsUKAC9GB5ctW4bp06ejW7duqFevHtavX4+IiAjs3LnzFdwNEVHuGAiJ\\\n",
       "yFIwEBJRrkaNGoUuXbqgY8eOudY9c+aMUb2goCCcOXMGAPD48WNERkYa1HFyckLz5s31dUxRqVRI\\\n",
       "Tk42+BARFRcGQiKyFAyERJSjLVu24NKlS1iwYEGe6kdGRsLLy8ugzMvLC5GRkfrjWWXm6piyYMEC\\\n",
       "ODk56T/ly5fPz20QERERkQkMhERk1rNnzzBu3Dhs2rQJNjY2JdqXadOmISkpSf959uxZifaHiF5v\\\n",
       "HCEkIkvBbSeIyKyLFy8iOjoajRo10pdptVocP34cK1asgEqlglQqNTjH29sbUVFRBmVRUVHw9vbW\\\n",
       "H88q8/HxMajToEEDs32xtraGtbV1YW+JiChPGPSIyFJwhJCIzOrQoQOuX7+OK1eu6D9NmjTBwIED\\\n",
       "ceXKFaMwCAAtW7bEoUOHDMoOHDiAli1bAgACAgLg7e1tUCc5ORkhISH6OkREpQFHB4nIEnCEkIjM\\\n",
       "cnBwQJ06dQzKFAoF3Nzc9OUffPABypUrp3/HcNy4cWjbti2+/fZbdOnSBVu2bMGFCxfw888/A4B+\\\n",
       "H8O5c+eiatWqCAgIwJdffglfX1907979ld4fEZE5+Ql7DIVEVJYxEBJRoTx9+hQSyf9PNmjVqhU2\\\n",
       "b96M6dOn4/PPP0fVqlWxc+dOg2A5efJkpKWlITg4GImJiWjdujX27dtX4u8pEhFlYSAkIkvBQEhE\\\n",
       "+XL06NEcvwaA3r17o3fv3mbbEAQBs2fPxuzZs4u4d0RERYOBkIgsBd8hJCIiIiIislAcISQiIiLK\\\n",
       "hiOERGQpGAiJ6LVnZWVV0l0goiKUmZlZ7NdgICQiS8FASESvNSsrK3z++ecl3Q0iKkLz588v9lDI\\\n",
       "QEhEloKBkIiIiCgbBkIishQMhERERETZMBASkaXgKqNEREREREQWiiOERERERNlwhJCILAUDIRER\\\n",
       "EVE2DIREZCkYCImIiIiyYSAkIkvBQEhERESUDQMhEVkKBkIiIiKibBgIichScJVRIiIiIiIiC8UR\\\n",
       "QiIiIqJsOEJIRJaCgZCIiIgoGwZCIrIUDIRERERE2TAQEpGlYCAkIiIiyoaBkIgsBQMhERERkQkM\\\n",
       "ekRkCbjKKBERERERkYXiCCERERFRNpwySkSWgoGQiIiIKBsGQiKyFAyERERERNkwEBKRpWAgJCIi\\\n",
       "IsqGgZCILAUDIREREVE2DIREZCkYCImIiIiyYSAkIkvBbSeIiIiIiIgsFEcIiYiIiLLhCCERWQoG\\\n",
       "QiIiIqJsGAiJyFJwyigRERFRNlmBMK+fomj/ZfHx8UbH7e3ti+r2iIj0GAiJiIiIsinuQJgbNzc3\\\n",
       "/b/LZC8mdKWlpWHx4sVFfi0ismwMhERERETZFHcgFEVR/8kuPj7eoF5mZia6d+8OAJg8eXKB74mI\\\n",
       "yBQGQiIiIqJSpHLlygD+f2QQAP7666+S6g4Rvea4qAwRERFRNgVZVObkyZPo27evvjwwMBCjR4/O\\\n",
       "97UTExMBAP7+/vk+l4govxgIiYiIiLIpSCCMiIjAtm3b9OXbtm0rUCAkInqVGAiJiIiIsilIIPT1\\\n",
       "9UXr1q315YGBgQW6trOzMxITE/HkyZMCnU9ElB8MhERERETZFCQQtm7dGlu3bi30tR8+fAg3Nzdo\\\n",
       "NBp92ctTUYmIihIDIREREVE2xb0xfXBwMNauXWtQZmVlBTc3N0RGRhq0bWVlhczMTADAokWL8n0t\\\n",
       "IqKccJVRIiIiolds9erV0Gg0BqOAGo0GUVFRAIC4uDh9eVYYVCgUmDRp0qvtKBG99jhCSERERJRN\\\n",
       "cY8Qmtp/8GWurq651iEiKgoMhEREREQmFCToERGVNQyERERERNkU9wghEVFpwUBIRERElA0DIRFZ\\\n",
       "CgZCIiIiomwYCInIUjAQEhEREWXDQEhEloLbThAREREREVkojhASERERZcMRQiKyFAyERERERNkw\\\n",
       "EBKRpWAgJCIiIsqGgZCILAUDIREREVE2DIREZCkYCImIiIiyYSAkIkvBVUaJiIiIiIgsFAMhEVEp\\\n",
       "ljVK8fInMDCwpLv1SoWHh6NChQqQSCQmvx85fVxdXXNsW6fToWfPnpBKpfluuyg+7u7uWLFiBdav\\\n",
       "X48qVaq8kmtS3vD7SkSWglNGiYjKmE6dOpV0F16pmJgYxMTEQBTFfJ/r5+eX43GdTodbt25Bp9MV\\\n",
       "tHuFkpCQgPnz58PJyQlhYWEl0gcyjVNGichSMBASEZUh9vb2GDt2bEl345V68uQJVCpVgc6dOXNm\\\n",
       "jsdjY2Px+PHjArVdFHQ6HZ4/f47IyMgCBV4qPgyERGQpGAiJiEqxgQMHIiEhAXFxcahSpQoWLVoE\\\n",
       "Z2fnku7WK6VQKMyGJblcDkdHR6SmpiIzMxNarVZ/zMPDA127ds2x7TFjxkCtVheoXxKJpMhGFhkG\\\n",
       "Sx8GQiKyFHyHkIjMWrBgAZo2bQoHBwd4enqie/fuuHv3bq7nbd++HTVq1ICNjQ3q1q2LPXv2GBwX\\\n",
       "RREzZsyAj48PbG1t0bFjR9y/f7+4bqNM27hxI/7991+cOXMGGzduhK+vb0l36ZVr3rw5ZDLjv7/0\\\n",
       "9/dHTEwMoqOjoVQqkZGRgdu3b2P69On4+eef8fTpU5PnZbl06RL+/PPPfPdHIpFg1qxZuH//Plat\\\n",
       "WgVra+t8t0GlH98hJCJLwUBIRGYdO3YMo0aNwtmzZ3HgwAFkZmbirbfeQlpamtlzTp8+jf79+2P4\\\n",
       "8OG4fPkyunfvju7du+PGjRv6OosWLcLy5cuxatUqhISEQKFQICgoCBkZGa/itsocS3/gdHR0xPz5\\\n",
       "8yGR/P//surVq4cHDx7A0dFR//2RyWSoUaMG5syZgxEjRsDGxsZsm+fPn0ezZs0KNMK3a9cuzJgx\\\n",
       "A5UqVcLHH3+MhIQEuLm5FejeioOdnR2mTJmCzz//HHZ2diXdHSIiKuUYCInIrH379mHo0KGoXbs2\\\n",
       "6tevj3Xr1uHp06e4ePGi2XO+++47vP3225g0aRJq1qyJOXPmoFGjRlixYgWAF6ODy5Ytw/Tp09Gt\\\n",
       "WzfUq1cP69evR0REBHbu3PmK7oxepfT0dERFRUGj0RS4jUmTJiEiIgJbt27FgwcPcOXKFUil0ny1\\\n",
       "IYoi4uPjERgYiGbNmhlML82rihUrokuXLgZltra2ePToEaysrPLdXlHr2LEjkpOT8fXXX2PevHmI\\\n",
       "iIjgCGYBcYSQiCwFAyER5VlSUhIA5LiU/5kzZ9CxY0eDsqCgIJw5cwYA8PjxY0RGRhrUcXJyQvPm\\\n",
       "zfV1TFGpVEhOTjb4UOkmiiImTJgABwcH+Pj4wNvbG0qlssDteXl5oU+fPqhcuXK+HsA1Gg2+/fZb\\\n",
       "ODs7w93dHSdPnixwH9avX2/y2o6Ojpg4cWKB2y0KY8eOxYEDBwyCspOTE3755ZcS7FXZxUBIRJaC\\\n",
       "gZCI8kSn02H8+PF44403UKdOHbP1IiMj4eXlZVDm5eWFyMhI/fGsMnN1TFmwYAGcnJz0n/Llyxf0\\\n",
       "Vl47oigWenETjUYDpVJZpNsvfPXVV1i2bBm0Wi1EUURcXBxGjhxZZO3n1ejRo/HZZ58hOTm5UIu3\\\n",
       "SKVSNG/e3OzxL774wmBa66sikUjw008/4bvvvjN5vG/fvvD29n7FvSr7GAiJyFIwEBJRnowaNQo3\\\n",
       "btzAli1bSuT606ZNQ1JSkv7z7NmzEulHaZSWloawsLACjb7pdDrs3r0bfn5+8PT0xMCBAws0ldJU\\\n",
       "n+bNm2dUfuzYsRzPS0pKwu3bt5GZmVnoPgAvwvLevXuLpK1atWrlOP3S3t4eFSpUKJJrvUwQBFhb\\\n",
       "W8PDwwN+fn5wd3eHvb09nJ2d8dZbbyEqKgrBwcFmz5fJZNizZw8cHBwYXPKJYZCILAEDIRHlavTo\\\n",
       "0fj3339x5MiRXDf69vb2RlRUlEFZVFSUfoQi65851THF2toajo6OBh96QSKRIC0tDSkpKfkaAVOr\\\n",
       "1Vi6dCl69uyJqKgopKWlYfv27QYLABXUl19+aXK0MafAtHPnTri5uaF27drw9/fPNRRGRkZixYoV\\\n",
       "CA0NNVtHEAT069cv7x0304abm1uuYVYQBGzbtq3IRgklEgneeustREZGQqlUIjo6Gs+ePUN0dDSS\\\n",
       "k5MRHx+P//77D+7u7rm21aBBA+zfvx/vvPNOkfTNEnCEkIgsBQMhEZkliiJGjx6Nv/76C4cPH0ZA\\\n",
       "QECu57Rs2RKHDh0yKDtw4ABatmwJAAgICIC3t7dBneTkZISEhOjrUP7Y2tqiSpUqcHNzy/ODqVqt\\\n",
       "xoMHD7BlyxajxV5yW+1VFEX9e5ymAqhOp8PGjRtNnrt06VKT5VqtFn369NFPL42IiMDp06fN9uHJ\\\n",
       "kyfw9/fHmDFjUKtWLcTHx5utO2/ePHTr1g0ODg5wc3ND7969sX37dhw4cABLly7Fm2++iXLlysHL\\\n",
       "ywsNGjTA7NmzcfHiRTx79gwPHz5EeHg4IiMj4eLikuP3BQCaNGmClStXws7OLt/BUBAESKVS2NnZ\\\n",
       "oWPHjoiKisJ///0HT09Pg7YKEkIEQUDz5s2xbdu2fPWJiIhef9yYnojMGjVqFDZv3oxdu3bBwcFB\\\n",
       "/46fk5MTbG1tAQAffPABypUrhwULFgAAxo0bh7Zt2+Lbb79Fly5dsGXLFly4cAE///wzgBcPpuPH\\\n",
       "j8fcuXNRtWpVBAQE4Msvv4Svry+6d+9eIvdZ1gmCkO8VLmUyGfz9/fH1119j2rRpuHXrFgRBwHvv\\\n",
       "vYdGjRrleO6+ffswePBgZGRkoFmzZti4cSN8fHz0ASU2Ntbk9FWFQoGGDRuabDMhIcFoRPDu3bto\\\n",
       "27atUV2dTodGjRpBpVIBAJRKJcaOHYvVq1frfy+z3+tff/0FrVYLqVRqEKQ6duyI8ePH53i/+SEI\\\n",
       "Aj7++GMMHToUz58/x7Fjx7Bs2TLcuHHD5CqrCoUCXbt2xaRJkxAQEABra2tYWVnluH9iYfqmUCiK\\\n",
       "vN3XFTemJyJLwUBIRGb9+OOPAIB27doZlK9duxZDhw4FADx9+tRg9KJVq1bYvHkzpk+fjs8//xxV\\\n",
       "q1bFzp07DRaimTx5MtLS0hAcHIzExES0bt0a+/bty3HfOCpaEokEdnZ26NChA86ePQuNRgNRFCGX\\\n",
       "y3N8uFUqlejbty9SUlIAAEeOHEGFChVQp04dTJ8+HZUrV8a5c+dgZ2dntF9l165dzY6aWVtbQxAE\\\n",
       "/YijIAho3bq1ybqHDx9GQkKCQdkff/yBNm3amH2XLmufwlfF2toa/v7+8Pf3R9++fbF48WIsXLhQ\\\n",
       "H5RtbGwwatQozJkzh7/3pRQDIRFZCgZCIjIrL++jHT161Kisd+/e6N27t9lzBEHA7NmzMXv27MJ0\\\n",
       "j4qIRCKBXC7PU93//vtPHwazaLVaXL16FX369IGdnR0CAgLg6OiIpKQkqNVqAC9+5lFRUdDpdCZD\\\n",
       "ob29PZo2bYpz584BAKpXr47q1aub7MOIESOMylQqFSZMmIChQ4fm+V5eFRsbG0yZMgU+Pj5Yvnw5\\\n",
       "gBcrkvbq1SvfeykWhdchvHz22WfFPtrJQEhEloKBkIiI8kQURcyYMSPH42lpabhz5w4cHR310zNF\\\n",
       "UYQoijh69CgGDBiA9evXG4U2QRBw6tQp7N27FyqVCl27djUZlkRRNLs9iVKpREBAAI4dO4YKFSpA\\\n",
       "IpFAEAT9P0uSXC7HBx98gJYtWyIzMxO1atUqkTBIecdASESWgovKEBFRnsTGxuL27du51tNoNEhM\\\n",
       "TERGRobBKLNOp8PWrVvh5OSEJ0+eGJ0nk8nw3nvvoVevXjmO8jk4OJg9FhERgapVq8LOzg4KhQIV\\\n",
       "K1bEiRMncu3zqyCXy1GrVi3UrVs3T6OYd+7cQXBwMFatWqUfaS0sU+8xkmlcZZSILAVHCImIKFc6\\\n",
       "nQ6BgYF53qMwpw3uMzIyUK9ePSQkJOR7lEwQBOzfvx9NmjTJsS9arRZarRbh4eHo168fnj17VipG\\\n",
       "5LJWEs1NZGQkGjZsqF/xdenSpbh582ah34PMaTVWMsQRQiKyFBwhJCKiXE2aNAl3794tsvaUSmWB\\\n",
       "R6saNGiA+Ph49OvXL8eN4rMkJCTka3/G7DIzM3Hp0iWcPXu2yEbqcjN16lSD7T/u3buHJUuWFLrd\\\n",
       "0hCKiYiodGEgJCKiHEVGRuK7774r0jarVq1aqMVfHB0d8fvvv0OpVOLkyZMmt5vI4uLiUuAglJiY\\\n",
       "iHLlyqFx48Zo2bIlvL29kZSUVNBu51nW4jovmzFjhsntPNLS0rB69Wp89913SE5OzrFdV1fXIuvj\\\n",
       "645TRonIUjAQEhFRjvbs2ZPnqaJZJBKJ2S0mqlatiqtXrxbJQ7REIsEbb7yBxMREHDhwwGTwW7p0\\\n",
       "aYGvNXr0aMTExOi/TkhIQIsWLXIccczMzIRSqSzUqGS9evWMylQqFVq1aqVvW6PRYP369XB3d0dw\\\n",
       "cDAmTJiApk2bGu3n+DIGl7xjICQiS8FASEREOapTp06+3qWqW7cujh49irt37+Kvv/5C37590apV\\\n",
       "K4wePRpPnz7FvXv3inxrCLlcjo4dO+L58+eoWLEiJBIJZDIZevXqleMWKLm5deuWUdndu3dx6dIl\\\n",
       "o3JRFLFr1y54enrC3d0dQ4cOzfFdSp1OZzZof/fddya/51evXoWbmxsqVqwIJycnDBkyRD+1VBRF\\\n",
       "PHz4EM+ePcvr7VEOGAiJyFIwEBIRUY6aNGmCoKCgXB96ZTIZFi9ejMuXLyMwMBBVqlRB9+7dsWXL\\\n",
       "Fpw6dQrff/89ypcvX6x99fDwwOPHj5GQkIDY2Fhs27bN7EhlXnTr1s2oTBRFvPnmmwZTRzMzM9Gj\\\n",
       "Rw/06NEDiYmJSE9Px/r16/Hzzz+bbDcyMhJ169aFu7s7evTogfT0dIPjXl5emDt3rslzMzIy8OzZ\\\n",
       "M5PTRyUSCTe6LyIMhERkKRgIiYgoRxKJBHv27MGdO3fQvXt3uLi4QCaT6R+EpVIp6tWrh9DQUPzv\\\n",
       "f/8r8YVLBEGAo6MjnJycCv2gPmHCBJML16SkpMDX1xeffPIJPv30U7i5uWHXrl1G00Q/++wzo1FC\\\n",
       "rVaLmjVr4tatW0hMTMTOnTvRsGFDo3rTpk3D4MGD89xXQRAwaNAgeHt75+MOyRwGQiKyFNx2gojI\\\n",
       "AqlUKiQlJcHDwyNPD7OCIKBatWr466+/IIoilEol7t+/j+joaNSuXRs+Pj6FGokrrRwcHPDzzz/j\\\n",
       "ww8/NJreqVQq8dNPP+V4vlKpRFpamsHeic+ePUNiYqJBvQcPHiA9PR0KhUJfJggCfvvtN9y7dw8h\\\n",
       "ISE5XsfV1RWbNm3CW2+9levPoTDvNpYW8+fPz/FdSSIiyjsGQiIiC/TkyROcPXsWffv2zfcUQ0EQ\\\n",
       "oFAo0KBBg+LpXCkiCAL69+8PlUqFTz/9tEBbZSQlJRkEwuzTQ4EXo7BWVlYmr3/8+HG4u7sjJSXF\\\n",
       "6LiNjQ02bdqEbt26lfjI7OuG+xASkaV4/f46l4iIclWuXDkEBgYW+eIueaFWq5GQkAClUpnjoisl\\\n",
       "Ra1WIyYmBvHx8dBqtZDJZBgyZAhGjRqV77ZMfX8rVapkMBIIAOPHjzf7s5DL5Th//rxBYBQEAW+8\\\n",
       "8Qbi4+PRs2dPhsFiwCmjRGQpGAiJiCyQvb09KlWq9Eqneep0OvTp0wd2dnZwc3ODg4MDPD09sWLF\\\n",
       "CiQnJ0Or1epX3tRqtSUytXHr1q1wcXGBl5cXPD09sW7dOmg0GshkMgQHB+c5eEkkEtja2qJNmzZG\\\n",
       "4c/a2hp37txB06ZNERAQgE2bNmHhwoU5tle9enVcv34d77zzDrp06YJr167hxIkTOe6/SIXDQEhE\\\n",
       "loJTRomI6JXo0aMH/v77b/3XoigiLi4OY8aMwf/+9z/4+vrC2dkZSqUSGRkZcHJyQufOnTFy5Ej4\\\n",
       "+fkZhTFRFHN9EBdFESEhIfjll1/Qs2dPBAUFmQ3B9+/fx4ABA/SjllqtFqNGjUKrVq1QpUoVWFtb\\\n",
       "QyKR5LgnY4MGDbBq1SpUqFBB/46bqSm5fn5++vcC8xomqlevjt27dzN8vCKcMkpEloKBkIiI8k0U\\\n",
       "Rdy7dw+pqalo0KBBriNnDx48MAiD2anVajx58sSo/Pr161i4cCFkMhlcXV3h6+sLlUqFmJgYqFQq\\\n",
       "eHp64rfffsMbb7xhst1169bho48+gk6nw5o1a1CvXj1cvHgRMpnh//5EUUSXLl2MprCq1WpcunQJ\\\n",
       "AQEBub4/OHr0aCxfvtwgHGSNeOp0OqMgWpAQweDx6jAQEpGl4JRRIiLKl4yMDHTo0AG1a9dGixYt\\\n",
       "sGTJkhzrZ2ZmFnoBGo1Gg+joaFy5cgW3b99GbGwsUlJS8PDhQ7Ru3RojR4402BcQABISEhAcHGwQ\\\n",
       "8q5du4YqVaoYjfLFxcXh0aNHRteVy+Vo06YN5HI53NzczAZfd3d3k5vJSyQSCIKA5ORkqFSq12KF\\\n",
       "TyIier0wEBIRkUlarRZqtRqZmZnQaDTIyMjAiRMn4OfnhyNHjkCr1UKj0WDZsmVmg45Go0FAQADS\\\n",
       "0tKKta8//fQTqlevDpVKpe/7u+++a3JULzQ0FHXq1EFGRoa+j//73/9MTgU9dOgQypcvD4lEAhcX\\\n",
       "F7i7uxvVEQQBR48ezfF9zL1792LYsGFYvHgxnj9/XioX0yFDfIeQiCwFAyERERlIT0/HunXr8P77\\\n",
       "76NHjx4YMWIEBg8ejOrVq6Ndu3aIi4szqG8u3Oh0OlSqVAnh4eHF3mdRFBEdHY25c+ciOjoav/32\\\n",
       "G86ePWu2/p07d+Dj44MpU6YgODgYO3bs0B8TBAHu7u44ceKEwVRUqVSKcePGGbXVvXt31K5dO8f+\\\n",
       "/fjjj9i6dSumTJmC8uXLo0GDBoiKijJZNy0tDWfOnMHTp0+LfESxuIP566a4wuC5c+dMthMfH18M\\\n",
       "d0FElDO+Q0hEZAEyMzORmpoKqVQKOzs7o3fogBfvy3377beYO3eufq88QRAgkUig0+nMBr9GjRqZ\\\n",
       "fCj+/fff8ezZs6K9kRyIoojVq1fjypUrOHr0aK6jcImJiVi8eLG+71KpFB4eHti2bRtat25t8p7G\\\n",
       "jh2LjRs34saNG5BIJBg4cCDWrFmT43UkEglCQ0MNFqu5fv06KlWqhJCQENSuXVt/rbS0NCxduhR/\\\n",
       "/vknunbtiunTp5v8WeWXVqtF3759sXPnzgLtpWiJivMdwubNm+v/3c3NTf+XLG5ubpxWTESvHAMh\\\n",
       "EdFrLjY2FmPHjsXBgweRkZEBa2trtGnTBl26dEGVKlUQFRWF1atX49ixY1Cr1QbniqKYa7Dq37+/\\\n",
       "yfLdu3cX2T3kVVJSEg4cOKCfOpobURT1D+D29vY4evQoqlevbra+XC7HxYsXkZSUBFtb2zxt+yCR\\\n",
       "SODu7o6nT58alCuVSvTu3RtnzpyBo6MjRFFEcnIyEhIS4OHhgTfeeKPI9hccPXq0wSgo5e5VLCrz\\\n",
       "cvjjtFMiKikMhERErzG1Wo3PP/8cf/75pz4kpaSk4M8//8Sff/5ZJNfw9/c3WT5p0iRs2bKlQCMe\\\n",
       "MpkMDRs2hFwuR0hISK6jWhKJRL8lRNZ2D/nl4+ODqlWr5lpPKpXC1dU1X23Pnj0b7777rlF5VFQU\\\n",
       "0tPT4eTkpJ+qOnnyZGi1Wnh5eeUaErLCek7vL2ZmZmL16tX56i8VLBCePHkSffv21ZcHBgZi9OjR\\\n",
       "Zs+zt7dHamoqrKysCtdZIqJCYCAkIirFzp49C3d3d5QvXx7W1tb5Pj8iIgJHjhwpcEiSyWSwt7dH\\\n",
       "cnKy2ZHCiIgIk+UNGzbEL7/8glGjRkGtVkMmk8HX1xf+/v548uQJnj59anIhl9q1a+P8+fP60beY\\\n",
       "mBiUK1fO7D04OTmhYsWKSE9PN7l1RV61bds2x2BVGO+88w5cXFyQkJBgUF6zZk24u7vrA4WVlRW8\\\n",
       "vLzy1KZKpcKaNWsQFxeHcePGwcnJyWS9x48f57h3IplWkEAYERGBbdu26cu3bdtmMhDev38fVatW\\\n",
       "RVpamsE1OF2UiEoCF5UhIirF3njjDdSsWRPVq1fHvXv38n2+TCaDm5tbgd5Dk0gkWLFiBW7cuIFP\\\n",
       "P/3UbL09e/aYPTZs2DCkpqZCqVQiLS0Njx49wuHDh/Hw4UPEx8djwIAB+g3fFQoFNm7ciOvXrxtM\\\n",
       "xfTw8DA7wvXOO+/gxo0b+Pfff7F48eIc71MikUAul5t8yJdKpZg5c6bZcwtLIpHg8ePHcHBw0Jc5\\\n",
       "Ojpi27ZtBR4d2rVrFz777DPMmTMHQUFBZgPz/fv3C9Q+5Z+vry/69Omj/3z//fcm6708Ev3yz5/T\\\n",
       "RomoJDAQEhGVYjqdDhqNBk+fPsXQoUPzPdLj5+eH/fv344cffkC9evVga2ubp1EwmUyG2NhYfPzx\\\n",
       "xyhXrhy+//577Nq1y2Td3N4VzApiL78PJwgCHB0dsWnTJmRkZECr1SI1NRUDBw40+VA8ZMgQ9O3b\\\n",
       "V39MoVAgNjYWe/bsgZ+fH8qXL4+uXbuaXAUUANq0aYPU1FSoVCr9tXbt2oXx48dj586dyMjIQLly\\\n",
       "5Uyeq9FoMHLkSDg5OcHd3R2LFy8u0Iibk5MTkpOTodFooFarkZSUZPaaebF582ZkZGRAo9EgJCQE\\\n",
       "7dq1MznC1KhRowJfw5IVZNuJ1q1bY+vWrfpPTtNFgRcjgmq1miODRFSiOGWUiKiUEwQBcrkcffv2\\\n",
       "LdCURkdHR3zwwQdo2rQpdu7ciQcPHiA5ORnh4eF48OABUlJSDKaD2tjY4NKlS3BxcTFo57333oOX\\\n",
       "l5fRdglKpRKiKBb76MbmzZvxySefICoqCt27dzeaQisIAmbNmoV///0XN2/e1Pepfv362Ldvn37U\\\n",
       "URAEKBQKdO3aFV27ds31uvv27cPq1av1IXDy5MnYtGkTzp8/X6DRPalUWiSLxXTt2hV///23Pkyc\\\n",
       "O3cO4eHh8PPzM6jn7e0NDw8PxMTEFPqaluRVLCpDRFQaMBASEZVifn5+cHV1xahRozB06NACP3ha\\\n",
       "WVnBz88PnTp1Qp8+fVC1alV9KNFqtYiPj8fdu3dhb2+P2rVrQy6XG7UhCAIuX76McuXKlciIhkQi\\\n",
       "Qbt27XKsI5fLcfnyZZw+fRrnzp1DmzZt0KhRowJv3SCKIjZu3Gg0Inj16lVMmDABK1asKFC7RaFf\\\n",
       "v34YO3asfm9BjUaDiRMnYuvWrQa/J4Ig4PHjx2jSpAmnj+bDqwiEgiAYbDtBRFQSOGWUiKgUu3nz\\\n",
       "JkJCQjBixAiTIS2vtFotDhw4gCVLluDcuXOQyWT6B16ZTAZPT08EBgbqV/Y0x8fHB2PHjjUo8/X1\\\n",
       "LVUjJDKZDG3atMFnn32GZs2aFWofv6wHdlPWr19fonv62dnZGeyjCLx4n9PU5uYKhQK3b9/W7y9J\\\n",
       "uSvIlNG8Gjx4sP7fXw6Da9euLbL+ExHlFQMhEVEp5ujoCBsbm0IHrv3792Po0KH4888/8fHHHxcq\\\n",
       "yHz77bf6aYlSqRQrV64sVN9Ku+DgYJMhWaPRlPjqnSNGjEDlypX1XyuVSgQHB5sdweX2BnlXnIFw\\\n",
       "/fr1+j0wX/4MHTq0eG6GiCgHDIRERK85URSxYsUKqFQqiKIIlUqF2NjYArcnlUrx0UcfwdbWFp6e\\\n",
       "nmjevHkR9rb0CQgIMDlKaGNjU2QbxxeUVCpFp06d9IFEFEUcP35cP42UiIgoNwyERERlmCiK0Gq1\\\n",
       "ZvcIBF7sV3fo0CGDsvbt2xfquqNGjcLChQtx6tQpODo6Fqqt0s7R0RG7d+822C9QIpGgb9++JR4I\\\n",
       "BUHAxIkTDUYwY2Nj0alTpxx/Jyh3xTlCSERUmjAQEhGVUXfv3kXt2rXh5uaGGjVq4O+//zYbArJP\\\n",
       "bbx7926BN6vX6XSIiIhAo0aNUKFChQK1UZSypm4W50I3DRo0wMWLF9GrVy8EBASgc+fOmDNnTqkI\\\n",
       "Au7u7rCxsTEoCwkJwZYtW0qoR68HBkIishRcZZSIqAy6evUqGjdurA96SUlJ6NmzJ3777TcMHDjQ\\\n",
       "oK61tTVcXV0Nth0QRRGZmZn5fqfs2bNn6NmzJx48eIA2bdpgx44dhb+ZAhBFERkZGXjw4AHOnj2L\\\n",
       "ihUrokaNGihfvnyeH85FUcTjx49x/vx5NGnSBJUqVTJ7riAIqFChAjZv3ozU1FRIpVLY29sX5S3l\\\n",
       "SKfTQaVSAXjx83x5+xFT7zGKooiPPvoIffr0KdSiOpaM204QkaXg/yWIiMoYURTx7rvvGgUBrVaL\\\n",
       "6dOno3///gaBQRAEHDt2DLVr19aPojk4OBiNKuV2zU8//RQ//fSTvo1///0X4eHhqFixYhHclXkq\\\n",
       "lQpXr17FlStXIJPJ4OvrC2dnZ6hUKjx79ky/D2JmZma+9kM8ffo0+vTpg7i4ODg7O2P79u0IDAzM\\\n",
       "8RyZTAZnZ+ciuKv80Wq1CA0NxePHj1G+fHlUqlQJNjY2EEURjx49QkZGhtE56enpOHv2LFq3bv3K\\\n",
       "+/s6YCAkIkvBQEhEVMZkZmYiOTk5X+fUrFkTp06dwjvvvIOMjAzcuHEjX5vcHzlyBKtWrTIo0+l0\\\n",
       "WLx4cbHuxZeamophw4Zhz549UKvVkMlkqFSpEsaPH4933nkHTZs2hZWVFSQSCQRByPM9xcTEoFev\\\n",
       "XoiKioIoioiOjsaECRNw9uzZfI+oiaKI+Ph4rFu3Dv/88w/s7OwwaNAgvPPOO3B0dDTZp4IEiKio\\\n",
       "KGzevBlxcXFo3rw5goKCAADTp0+HWq02ec7YsWNx6dKlfF+LGAiJyHIwEBIRlTESiQQDBw7ETz/9\\\n",
       "ZPDOoFQqxZIlS8yGopYtWyIhIQE6nS7fi6FMmTLFZPnx48fz1U5+xcfH4/Lly1CpVNDpdJBIJKha\\\n",
       "tSref/99uLq6FqhNURQxaNAgREZGGpTdv38fGRkZ+Z4K+vjxYzRr1sxgP7l9+/ahQoUK+PHHH9Gy\\\n",
       "ZUvI5XJoNBqkpaVBFEW4urrme4T2yZMnOH78OKKjo3H48GEsWbIEgiAgNTXV7PuTN2/eRGpq6iud\\\n",
       "3kpERGULF5UhIirFsvYne5lMJsPy5ctx584dTJw4EU2aNEFQUBDOnj2L7t2759ieIAgFWhnTzs7O\\\n",
       "ZLmXl1e+28oPX19fzJs3D9WrV0eFChUwYsQIrF+/PscwqFarce3aNTx9+tRkUEpISMCRI0eMyjMy\\\n",
       "Mgq0r+CxY8eMNoMXRRGhoaEYOXIkNm/ejOPHj+PXX3/FJ598gt69e2Pq1Kl4/Phxnq4niiKSkpKw\\\n",
       "efNmhIeHIyMjAyqVCsnJyUhKSsqxjczMTKxZs4YrjhYAF5UhIkvBEUIiolIsMDAQHh4e6NWrF3r0\\\n",
       "6KEPZjKZDFWrVsW33377Svrx/fffo0GDBkYBa9GiRcV6XZlMhj59+qBHjx7Q6XSwtrbO8eFbFEV8\\\n",
       "9tln+PHHHyGKInr06IFt27YZnPPw4UOTK6xqtdp8TaPNUqlSJbPHwsLCMH/+fFhbWyM6Ohrp6enQ\\\n",
       "6XQ4d+4c/vnnHwQHB6NBgwYIDw/HzZs3IQgC2rVrhxYtWuinm6akpGDZsmU4evRovgOrKIpYsGAB\\\n",
       "3n33XVSqVEk/tbas++yzz6BQKIr1GpwySkSWgoGQiKgUO3XqFADg4MGDqFKlSoltAl+vXj1MnjwZ\\\n",
       "ixcvhk6ngyAIGDBgABo0aFDs1xYEwWCfvZykpaXhxx9/hEajAQD88ccfuHLlCho2bKivk3WsMNd5\\\n",
       "WfPmzSGXy/WrgL5Mq9UiIiICAAzCtEajwePHj/Hll19CIpEgMzNTP4r37bffQi6Xo06dOujQoQMe\\\n",
       "PnyIvXv3mn1PMDcxMTEYOHAgfvnlF1StWrVAbVgiBkIishQMhERl3OPHj3HixAmEhoZCqVTCw8MD\\\n",
       "DRs2RMuWLfP1jhKVbiqVyuy0zVfl66+/xtSpU3Hv3j1UqlQJ7u7uJdofU+7cuWMU+CZNmoSDBw/q\\\n",
       "v3ZxcTF5ro2NTYECoY2NDcaOHYvFixebPG7u/b6slVFNUavVuHz5Mm7cuJFjvbwQRREXLlzAe++9\\\n",
       "h88++6zA7VgiBj0isgQMhERl1KZNm/Ddd9/hwoUL8PLygq+vL2xtbREfH4+HDx/CxsYGAwcOxJQp\\\n",
       "U4p9WwAqPlKpFLa2tvjhhx9Qp06dku4OnJ2d0axZs5Luhlmmtl+4d++ewdemRvIAYNWqVQUOAF9/\\\n",
       "/TW2bduG0NDQAp1viiiKBR4VzE6n0+HJkycYPXp0kbRnCThCSESWgoGQqAxq2LAh5HI5hg4dih07\\\n",
       "dqB8+fIGx1UqFc6cOYMtW7agSZMmWLlyJXr37l1CvaXCOHXqFPz9/eHp6VkkD50ZGRn46aefEB4e\\\n",
       "jtGjR+drI/eyoEKFCkZlgiAY7E944MABozoSiQQ9e/Ys8HUlEgmqV69epIGQiIjoVWAgJCqDvv76\\\n",
       "a/0eZKZYW1ujXbt2aNeuHebNm4cnT568us5RkcrPO4NZ2zKYEx8fjwoVKiAtLQ0AsGTJEnTr1g2/\\\n",
       "/vornJycCt3X0sDBwcGoLOv9PKlUCp1OZ3LfRIVCYXKK9bZt23Dw4EGMHj0adevWNRueMzIycO7c\\\n",
       "ucLfQDZZYTan44IgcBXRYsARQiKyFNx2gqgMyikMZufm5obGjRsXY2+otNDpdDkGgzVr1ujDIPBi\\\n",
       "wZO9e/dix44dRTY1saSZejBXqVT69wozMjIQHR1tVMfR0dHoXJ1Oh/Hjx2P9+vUYNmwYUlJSzF73\\\n",
       "7NmzSE5OLmTvjclkshzDhoeHBwICAgq0OirljNtOEJGl4P9BiF4T0dHRuHHjBq5du2bwIcuR04Np\\\n",
       "RkYGZs6caVSenp6OiRMnYseOHSbfv3tVVCpVoRZOyZKammqy7NGjR0hPT8fatWuRnp5uVKd+/fpG\\\n",
       "ZT///DOeP38OlUqFS5cuoUKFCggLCzOoo9Fo8Pnnn6NDhw5FPkrn7u6Oxo0bm10c6uOPP8azZ89w\\\n",
       "584drFmzpkivTQyERGQ5OGWUqIy7ePEihgwZgtu3b+unlr38zlRBNtqmsimnDefj4uLMBi6tVotH\\\n",
       "jx4hNTUVVlZWBdq4vjDOnTuHwYMHw8bGBps3b0bt2rWN6iQlJWH58uW4desWevfujS5dusDa2tqo\\\n",
       "3t69e43KNBoNNm3ahLffftvkdFEA6Nixo8HXWq3WaEXOpKQk+Pv7o0mTJujQoQNCQkJw4sSJAo+u\\\n",
       "5jQdtHbt2vjrr7/g7OyMhQsXYunSpQaBs02bNvjxxx/1QWTo0KH49ddfcfLkyQL1hYxxyigRWQoG\\\n",
       "QqIy7sMPP0S1atXwyy+/wMvLiw8mZJKDgwMqVqyIR48eGfzFgbOzMyZNmoThw4fDycnJaAGW4paQ\\\n",
       "kIA333wTSqUSANCoUSP88ccf6NKlCyQSCXQ6HQ4fPoz33ntPP4K5ZcsW2NraYtGiRQgODoaVlRVE\\\n",
       "UYRSqcRXX31ldA1RFBEWFqYf7TMlMDDQ4OvU1FR9n16m1WoREhKCkJCQAt+zlZUVZs2ahW7duuHi\\\n",
       "xYuYPn06wsPDodPpIJfL8b///Q8zZ86ElZUVAGDBggVIT0/HmjVroNVqUb9+fRw4cMDgZyQIAg4c\\\n",
       "OABfX18kJCQAeDHdtEmTJvjggw9gY2ODo0eP4syZM7h//36B+25JGAiJyFIwEBKVcY8ePcKOHTtQ\\\n",
       "pUqVku4KlWL29vbYvXs3fvnlF9y7dw9t27bFe++9hwoVKsDKysrggTZrJCq3h1xRFBEeHo5jx45B\\\n",
       "EAQ0b94c5cuXz9defoMGDTIIXmq1Gr1798aYMWPQsWNH/Pbbb9i2bZvRSHd6ejrGjh2LBQsWYNCg\\\n",
       "QYiKisLZs2fx/Plzo2vI5XL0798fDRs2xIcffoiZM2catGdlZYVKlSoZnFOci7QsXboUo0aNAgDU\\\n",
       "qlULgwYNQkZGBtLS0uDo6Gj0/bOyssL333+PadOmQalUolKlSpDJjP/3bWNjgwcPHmDOnDmwtrbG\\\n",
       "hAkTDFanHTZsWLHd06s2f/78IplinBMGQiKyFAyERGVchw4dcPXqVQZCypFEIkHVqlWxYMECCIKQ\\\n",
       "4yIkGo0GSUlJcHBwMPv+mkajQevWrXHu3DmDEUcHBwf07dsXw4YNg4+PD6ytrWFvbw+FQmF0zbCw\\\n",
       "MPz3339GbatUKnz33XdYvnw5MjMzc9zYPSIiAosXL85xJc4hQ4agY8eOkEqlmDx5Mh4/fox169bp\\\n",
       "Q1/FihVhb29vcI6DgwNsbW1NjhIWhiAI+OCDD4zKbG1tYWtra/Y8iUQCPz+/XNt3dXXFkiVLGFCI\\\n",
       "iCjPGAiJyrg1a9ZgyJAhuHHjBurUqaOfZpala9euJdQzKm3yuhLls2fPMH78eNjZ2WHZsmXw8fEx\\\n",
       "OC6KIgIDA42mTYqiiOTkZKxevRq//vqrvkwikcDd3R1z5sxBv379YG1tjcjISLRo0cLsO675Gf3J\\\n",
       "KQx6e3tjxYoV+vci5XI5Vq1aBQcHB/z222+QSqUYM2aM0YibTCbDd999hxEjRuS5H3khkUjMhuyi\\\n",
       "wjBYNDhCSESWgoGQqIw7c+YMTp06ZXIxDS4qQy/LWvwk+xTR7HWaN2+OuLg4AMCOHTvw888/Y9iw\\\n",
       "Yfr3C0eMGIGzZ8/meK2Xf+90Oh0iIyMxYsSIIg9YOWnevDlOnz5tFIStrKywdOlSTJ06FXFxcahY\\\n",
       "saLJsDx8+HA8fPgQ33//PZRKpdngKQgCBg0ahJ9//hlyuRxRUVGoUqWKydFFW1tbk9M9qfRhICQi\\\n",
       "S8FtJ4jKuDFjxmDQoEF4/vy5fh+6rA/DIGXJyMjAunXrMG7cuBwXRLl27Rri4+P1X2u1WowaNQq3\\\n",
       "b9+GRqNBfHw8/vjjj1fR5UJxcXHB8ePHzY6KCoIADw8PVK5c2exUTUEQMHHiRMyYMQMVKlQwufqq\\\n",
       "VCrFtm3bsH79etjY2EAikcDHxwdHjx412WbPnj0ZHsoIbjtBRJaCgZCojIuLi8OECRPg5eVV0l2h\\\n",
       "Umz9+vUYM2YMfvrpJ7Rt29bsJus//vij0UhYRkYGvv76a6SkpCAqKqrUb2IvlUpx8+bNXBe3kUgk\\\n",
       "+tHS7PcsiiI0Gg3S09NRv3599OzZE+XLl9fXFwQBLi4uuHz5Mnr16mXUdpMmTRAQEGBQJpfLsXLl\\\n",
       "ysLfIL0SDIREZCk4b4WojOvZsyeOHDmCypUrl3RXqJRSqVSYNGmSPsip1Wq8/fbbOHnypNGD7MWL\\\n",
       "F022kZqaCmtra/j4+MDNzc1og/ZXzcbGBk5OTkhKSoJKpdIHOqlUii1bthi992hOVvDTarVQq9VI\\\n",
       "SkrCo0ePcPbsWVy5cgWpqalwdnaGQqFAw4YN4erqCq1Wi7fffhtffPEFHBwcTLYrCAKuX7+OKlWq\\\n",
       "IDo6GnZ2djhz5gwUCkWRfQ/yQ6fTISYmBjdv3kT79u1LpA9lDaeMEpGlYCAkKuOqVauGadOm4eTJ\\\n",
       "k6hbt67RojJjx44toZ5RaXHt2jWjEcGzZ88iMTERLi4uBuVZe/29TBAEfPrpp/qVMD/55BNMnz69\\\n",
       "WPuck6wtLr766itkZmbi77//xqVLl6BQKDBv3jw0a9Ys1zZEUYRWq0VGRgaePHmCDRs2YNu2bYiI\\\n",
       "iDBY2VQQBMjlcnh5eaFBgwYYNGgQ3nvvPQQEBJicQvoyhUKB8PBwpKSkwM7OzujP5quSmJiImjVr\\\n",
       "IioqCqIo5rgIDxERWR4GQqIybs2aNbC3t8exY8dw7Ngxg2OCIDAQlnFTp06Fra0typUrh3r16qFa\\\n",
       "tWpwcHDINYy8bM2aNUYhQKfTYfHixZg/f75BuanpoC4uLmjXrp1+FGT48OH48ssv8x0srK2t4ejo\\\n",
       "iOTkZLMbxGcxNY3zZT4+PmjcuDEUCgU6duyoPycvIzVZYVClUuHhw4eYMmUKDh8+bHJlU1EUoVKp\\\n",
       "EB4eDplMhuDgYPj7++f5+y+RSODk5JSnusXlzTffRGRkZIn2oSziCCERWQq+Q0hUxj1+/Njs59Gj\\\n",
       "R0VyjR9++AH+/v6wsbFB8+bNce7cuRzrb9++HTVq1ICNjQ3q1q2LPXv2GBwXRREzZsyAj48PbG1t\\\n",
       "0bFjR9y/f79Afcsa8TD3SUhIyPe7QKXps3DhQsycORMjRoxA8+bN4erqChcXF3z66ae4d+8e4uPj\\\n",
       "ERYWhhMnTuDkyZNITk42+P5otVqcPn3a5PduxYoVBiFIo9EgJibGoI4gCPj7778NVsZ0c3PLcyAS\\\n",
       "BAEymQwtW7bEgQMHcOjQIQQFBeX6AG1tbQ2FQmGyniiKOHPmDERRhFQqhUQigUQiydNDuU6nQ2Zm\\\n",
       "JtRqNVJSUrB3714cP348120utFotoqKiIAhCvsJ4SdPpdAX+s2XpXod3CB88eFBq+0ZEpQcDIdFr\\\n",
       "6vnz51i0aFGh29m6dSsmTpyIr776CpcuXUL9+vURFBSE6Ohok/VPnz6N/v37Y/jw4bh8+TK6d++O\\\n",
       "7t2748aNG/o6ixYtwvLly7Fq1SqEhIRAoVAgKCjI5HRFMiSKIlJSUvDjjz+iTp06qFKlCmrXro2O\\\n",
       "HTuiffv2qFWrFv755x+o1WrodDpER0ebfd8vJSUFvXr1QlJSElJSUvDJJ58gNTXVoI6XlxdatGhh\\\n",
       "UCaVSmFtbW22j1mhKSuoOTo6YsSIEWjUqBGqVKmCTp065fiQKggCWrZsiTVr1qB9+/Ym6z579gzH\\\n",
       "jx/P8yilKIpIT09HbGys/r3D1NRUHDt2LF+/d56enmXqAVsikcDT07Oku1EmvQ6BsEqVKiXdBSIq\\\n",
       "AzhllKiM+/DDD02Wh4aG4ty5c5g8eXKh2l+yZAlGjBiBYcOGAQBWrVqF3bt349dff8XUqVON6n/3\\\n",
       "3Xd4++23MWnSJADAnDlzcODAAaxYsQKrVq2CKIpYtmwZpk+fjm7dugF4sQKml5cXdu7ciX79+hWq\\\n",
       "v5YkMzMTCQkJBmXh4eHo3bs3evfujf79+2PHjh1mVxQFgL///hvu7u4AXowQZterVy+TI2IODg5I\\\n",
       "S0szKpfL5bCzs4NarUZGRgZ0Oh2Sk5Oxc+dOdOzYEQqFAqmpqTk+QEskEixcuBCNGjVC9+7d0atX\\\n",
       "L+zevdugjk6nwyeffIIHDx6Y3TYiS1bwCwkJgY+PD9544w14enoiMTERd+/ezVOolMlkaNSoEWrW\\\n",
       "rJlr3dJm48aNaN26Nd8dzKfXacpoblOwiciycYSQqIxLSEgw+MTGxuLcuXM4evQovvnmm0K1rVar\\\n",
       "cfHiRf07WsCLh/WOHTvizJkzJs85c+aMQX0ACAoK0td//PgxIiMjDeo4OTmhefPmZtuk/FGpVNi8\\\n",
       "eTN69eqF9evX57ofpUajMRkGgRcLkph6kCxfvrz+IVgQBNjb26Njx46YO3cuPvzwQ9jb20On0+lX\\\n",
       "8dy7dy9mzZqFq1evIj09PccRRm9vbzRo0ABSqRQ2Njb4/fffYWNjY1QvIiICs2bNMvugq9PpsG7d\\\n",
       "OlSpUgU9e/bE4sWLsXjxYuzcuRN3797Fnj178Pz58xy/N4LwYr/CDz/8ENu2bSuxVUILo2XLlujX\\\n",
       "r1+pDy2lzeswQviystZfInp1GAiJyri//vrL4PP333/jxo0bmD17Nnbu3FmotmNjY6HVao32OPTy\\\n",
       "8jK7SEVkZGSO9bP+mZ82gRchJzk52eBD5ul0OmRkZJgNenl19epVo4VmRFFEQEAAZDIZpFIpXFxc\\\n",
       "MHz4cHzzzTcYMGAA3n77baNRO41Gg9OnT+PZs2fw8PCAl5eX2YfSli1bGryzaGdnZ3YbiS1btph9\\\n",
       "/y8qKgpffvklYmJioFaroVKpEBkZicOHD+PgwYP477//ct1T0crKCi1atMDHH3+sH0ktawRBwKJF\\\n",
       "i+Ds7FzSXaESkPU+9YgRIxgEicgkBkKi11T//v1x9OjRku5GkVmwYAGcnJz0n/Lly5d0l0q9opgi\\\n",
       "dvPmTQwaNAhpaWn69nQ6HT7++GN88sknWLt2LUJDQ7F06VLUr18fvr6+aNmypVHgF0URoaGhSE9P\\\n",
       "R9euXbFv3z588803KFeuHCSS//9fkZubG9asWWPw4CqVSjFv3jyT/QsNDTW52btKpUKLFi0QFhYG\\\n",
       "nU6n70N6ejpOnjyJxYsX4+zZs/pj5sjlcvTq1Qu1a9c2CKnZabVaJCcnIzIyEuHh4Xj27BmioqKQ\\\n",
       "np5eKqbq+fn5ITIyEgcPHizprpQpZXF00FyfJk+erB+1Lw2/k0RUejAQEr2mrl69ioYNGxaqDXd3\\\n",
       "d0ilUkRFRRmUR0VFwdvb2+Q53t7eOdbP+md+2gSAadOmISkpSf959uxZvu+H8k+n02HHjh2oVq0a\\\n",
       "9u/fj9TUVGg0GjRr1gwLFy7EoEGDYG9vbzB91MbGxuSG7YIgoEWLFvDz80O1atUwceJEPH36FBER\\\n",
       "Efjpp5+wbNky3Lp1y+Q2DZ06dTK7j9/nn3+O2NhYg+C3detWs78jWVtO5BYGAUCpVOLXX3+FUqk0\\\n",
       "WycpKQk9e/ZE+fLl4e/vj0qVKqFy5cooX748fHx8MG7cuFKxYJJcLkeHDh1KuhtlRlmeMpo1xfrl\\\n",
       "BYWqVq1a6vpJRKUDF5UhKuMmTpxoVBYVFYVdu3ahS5cuBseXLFmSr7blcjkaN26MQ4cOoXv37gBe\\\n",
       "BIRDhw5h9OjRJs9p2bIlDh06hPHjx+vLDhw4gJYtWwIAAgIC4O3tjUOHDqFBgwYAgOTkZISEhGDk\\\n",
       "yJFm+2JtbZ3je2dUfERRREREBHr27Invv/8evXv3hp2dndntF7RarclVaJ2cnFC5cmWDEUGJRAIv\\\n",
       "Ly8EBwdDFEWzD6z29vZwdHREXFyc0bH09HR06dIFc+bMQdu2bREbG4vJkycXySiITqfD8ePHMXjw\\\n",
       "YOzatcvonrVaLd5//30cPnzY5PWSkpKwYsUKHDhwAGfPni3xPQkp78ryojJZ05tjYmLg4uKChIQE\\\n",
       "WFlZ5bq9ChFZJgZCojLu8uXLJsubNm2K6Oho/YN5QR9YJk6ciCFDhqBJkyZo1qwZli1bhrS0NP2q\\\n",
       "ox988AHKlSuHBQsWAADGjRuHtm3b4ttvv0WXLl2wZcsWXLhwAT///LO+H+PHj8fcuXNRtWpVBAQE\\\n",
       "4Msvv4Svr68+dFLppFQq8cMPP6Br165mF1cRRRF3797F48ePjY5Vq1YtxxVBc/od1Wq1kMvlZo+f\\\n",
       "P38e3bp1Q8uWLfH06VOz26IUhCiK2LNnD5YvX44JEyYYHAsPD8exY8dyDJ+iKOLOnTuoWrUqrl27\\\n",
       "luNIOJUeZTkQhoWFoUePHgCgX2XY2dnZaJ9RIiKAgZCozDty5Eixtt+3b1/ExMRgxowZiIyMRIMG\\\n",
       "DbBv3z79O2JPnz41GPFp1aoVNm/ejOnTp+Pzzz9H1apVsXPnTtSpU0dfZ/LkyUhLS0NwcDASExPR\\\n",
       "unVr7Nu3z+RKkrnJ7UHMxcWlTL8vU9oeNB8+fIjQ0FA4ODjoR8uylrTPzMzElStXMHjwYKMtKQRB\\\n",
       "QI0aNXK9n6yf1cv1RFFEdHS0yW0uXq6TkZFRbH8eRFHE1KlTERwcbBCGN2/enOeFe2JiYlCpUiXc\\\n",
       "vHkTAQEBxdJPKjplORAC0C8qlrXKMMMgEZnDQEhEuRo9erTZKaKmFq7J2gfPHEEQMHv2bMyePbuo\\\n",
       "uvjacnFxQXp6OlQqVakItmlpaVi9ejXef/99PH36FMeOHUNoaCjS0tLw/PlzxMbGmly5UxRFxMTE\\\n",
       "5HgPWq0WcXFxSEpKgqOjIxwdHSGTyZCeno5//vkH6enpxXlruVKr1di8eTNGjBgB4MU9/f333/lq\\\n",
       "Iz09HTVq1MCDBw+4MFIpV1YD4ctTr9944w2cOnWqVPWPiEofBkKiMujtt9/GzJkz0aJFixzrpaSk\\\n",
       "YOXKlbC3t8eoUaNeUe+oKIWHhyM1NRXLli3D4sWLS/wdII1Ggw0bNmDr1q1IS0uDRqPJc1A9dOgQ\\\n",
       "wsLCULFiRaNjoiji1q1b+OKLLxAaGgoPDw+8+eabaNiwISIjI/Hrr78WeguNorB8+XJ89NFH+gfs\\\n",
       "pKSkfLehVqtRtWpVhIaGGq3GSlQUXv4zuX//fgQFBQEAQkJCSqpLRFSKMRASlUG9e/fG+++/Dycn\\\n",
       "J7z33nto0qQJfH19YWNjg4SEBNy6dQsnT57Enj170KVLFyxevLiku0wFZGtrC1tbW8yePRt+fn4Y\\\n",
       "M2ZMrhvNFzelUpnjqpvmJCYm4q233sLZs2fh4uJicCw9PR1LlizB4cOHoVKpIJFIcPnyZXh5eUGj\\\n",
       "0SAsLKxUjJCGhoZCq9VCJpNBEATUqVMHt27dync7KpUKVatWRXh4uMkVWankldURwuzeeuutUvFn\\\n",
       "h4hKL247QVQGDR8+HI8ePcLnn3+OW7duITg4GIGBgWjatCmCgoKwevVqVKhQAefPn8fWrVtRoUKF\\\n",
       "ku4yFZJUKsXw4cPRvn37Aj98ZoWYknTv3j00adIEkZGR+odUURQRGxuLCxcuICMjAxqNBpmZmUhM\\\n",
       "TMSDBw/w5MmTUrFtA/AiuL48SjtlypQc60skErPf85SUFHTr1i1P21/Qq1eWt50gIsoPjhASlVHW\\\n",
       "1tYYNGgQBg0aBODF1LX09HS4ubmZ3a+Nyja5XI6VK1eiffv2CA8PhyiKkEgkkMvlkMlkUKlUyMzM\\\n",
       "NBoNkEgk8PHxQZ06dXDlyhWjPSBftUePHqFVq1Y4dOgQypcvD51Oh7CwMMTExBjsJfjyBtqlZYRD\\\n",
       "q9UiKioK/v7+AIA6derA2toaKpXKZH0bGxu4urri+fPnJkd2T506hZSUFG5HUQq9LiOERES54Qgh\\\n",
       "0WvCyckJ3t7eDIOvOV9fX0ybNg01atRAhQoV0L59eyxevBi///47vv76azRp0gQKhQIymQwymQzO\\\n",
       "zs7o3r071q9fj6+//hrdunUz+h2RyWSv/Pfm8ePHePfdd3Hp0iWEh4dj//79SEpKMgp+L4fCV0Uu\\\n",
       "l6NJkyaoUqWK0TFRFPG///1P3yeZTKYPh6ZYWVmhc+fOJtsCXryTWdIBnUzjCCERWQqOEBIRlWKj\\\n",
       "Ro1CQEAA2rZtiwoVKkAURTRo0AD9+vXDkydP4OPjA29vbzg5OaFevXrw9vZGZmYmypUrh8qVK8Pd\\\n",
       "3R3W1tYAgISEBP3WDYIgwNraGmPHjsWECROQkJCAt956C2FhYQXuq0QiyVeAu3XrFt544w3Y2toi\\\n",
       "PT39lSwaY2dnh/bt26NBgwY4efIkTp8+bbAqqp+fH27duqV/r+/AgQMICgoyuKc///wT9erVw65d\\\n",
       "u5Cenq7f582U5ORk7Ny50+wIok6nw/Xr11GtWrU89T85ORk7duzA+fPnUb9+fXTr1g3u7u4QBAEZ\\\n",
       "GRk4d+4cYmNj8c4778De3j5PbZJpxT1CWLFiRTx9+tSgTCKRlPg7wkRkeRgIiYhKsZUrVwJ4MdLU\\\n",
       "tGlTDBgwABKJBBcuXMDVq1eRmpoK4MU7hlZWVvDx8cGAAQPw9ttvw83NTb9HpFarxe3bt/Hvv//q\\\n",
       "34ETRRH16tWDs7MzbG1t4ePjU6BAKAgC7Ozs4ODggOTkZKSnp+c5FGo0mhwD1cskEgmkUil0Ol2+\\\n",
       "H5qlUinatGmDHTt2wNnZWb93YkxMDLp164bLly/DxsYG69atM1jkpVOnTpg+fTrmzJlj0N6NGzdQ\\\n",
       "t25deHh4IDY21ux1s/ZQzMnOnTvRs2fPXEPFzZs30alTJ0RFRUEURcjlcv2en25ubvjzzz/1q7HO\\\n",
       "mzfPYDVUKl2CgoL0YVAQBLi4uCA+Pp4LDBFRiWAgJCIqAzIzM3H+/HkAgIeHB06dOoWEhASjBUki\\\n",
       "IiKgVCrRr18/gwVN1Go15s2bZ7BNgkqlwrRp02BnZ4eoqCjcvHmzQH1zdnZG8+bNAQCXL19GRkZG\\\n",
       "sUzzlMvl8PPzg0QiQVhYWJ5WOpVIJLCzs0PPnj2xcuVKg03lBUGAp6cnjh8/jgMHDiAhIQGtWrUy\\\n",
       "amPmzJlYs2YNnj9/blCuVCrx7NmzQt/XwYMHERkZCW9vb5MBThRFHD58GF26dDEYaVSpVDh58iQG\\\n",
       "DRoEb29vhIWFITk5GYIg4PDhw/jwww8hlUqN2nsdQuJnn31m8LMsDsU5Qrh//34ApefdWCKybAyE\\\n",
       "RERlhEajQUxMDFJSUpCUlGRydUpRFHHv3j3cuXMH3t7e+rI7d+7g2LFjRvWfPXuGXr16AUCBVru0\\\n",
       "t7fHsGHD0KhRIxw/fhxXrlyBRCIp8pUzBUGAo6Mj3n33XdSsWRM3btzAP//8g8jISIOppoIgQCqV\\\n",
       "QqFQwMfHB/7+/mjcuDGGDx9uNkBYWVnh7bffRkZGhn567cskEgmuXbsGb29vo5FJnU4HmUym//eC\\\n",
       "iI+PR3BwMAYPHgx/f3/Y2tpCLpdDq9Xizp07mDNnDq5du2ayfZ1Oh+joaMTFxemn60qlUoiiCJ1O\\\n",
       "ZxAIlUol7ty5U6A+WqJXsahM9vMYEImoJDAQEpVxQ4YMwfDhw9GmTZuS7gq9AtbW1sjIyMhxyqRG\\\n",
       "o8HChQvRvHlz2NjYICkpCcOGDTN4V+5lBQ0yUqkUI0aMwMSJEyGKIuLj47Fv3z59CMl62NVqtYUO\\\n",
       "iFZWVmjUqBEGDBgAf39/dO/eHePGjYNOp4OjoyPs7e317zBmXUun0+m3iXB3d8+xfYlEAhsbG7MP\\\n",
       "9u7u7pg7dy6mTZtmdJ67uzucnZ3x/PlzpKamQqfT5evBXqvV4tChQ/jvv/+g0WgKFApMBVWNRqMP\\\n",
       "q9HR0Rg/fjz27t2b77YtVUEC4cmTJ9G3b199eWBgIEaPHp3juVKpVP/zy5rKTET0KjEQEpVxSUlJ\\\n",
       "6NixIypWrIhhw4ZhyJAhKFeuXEl3i4qRSqXK9aHx8OHDGD16NBo1aoQVK1bg3r17Rd6P6tWrY8aM\\\n",
       "GXB0dIQoiujSpQuOHDmCc+fOwdHREd26dcPbb78NmUyGffv2YdWqVTm+bwfAYBsNURQhCALs7e3R\\\n",
       "oUMHfP7556hSpYp+P0UPD49cH9gdHBz0G93nRhAEo1G1l02aNAl//PEHLl68qC+zt7fHqFGj0Ldv\\\n",
       "X8jlciQlJSE8PBwRERG4fv06tmzZkuMqolKpFHZ2dsjIyDDY37AwtFotQkJC8OTJE1SuXBlarRbn\\\n",
       "zp1DSEhInqbZ0gsFCYQRERHYtm2bvnzbtm05BsKX/xy/DlN5iahsYiAkKuN27tyJmJgYbNiwAb/9\\\n",
       "9hu++uordOzYEcOHDze5xQCVbWlpaUhPT8+1XmZmJnbs2IHdu3frpxMWJUEQ0LVrVzg4OOjDlpeX\\\n",
       "Fzp16oS0tDTUqVMHw4cPR4UKFSCRSNCwYUM0btwYw4YNQ2Jiosk2JRIJvL290a5dO/j7+0Oj0UCt\\\n",
       "VqNChQro0KEDKlWqBCsrq3w9OGdNIc3PIjeCIJgMkFKpFLNnz0avXr2QkZEBiUSCcuXKoVOnTihf\\\n",
       "vjysrKzg5+eH2rVrQ6fTQalUomLFipg8ebLZFVRdXFzg6+uL+/fvF1kgzFos58iRIwbvJTo6OsLK\\\n",
       "yqrIrvO6K0gg9PX1RevWrfXlgYGBxdI3IqKixEBI9Brw8PDAxIkTMXHiRFy6dAlr167F4MGDYW9v\\\n",
       "j0GDBuHTTz9F1apVS7qbVEiiKCIiIiLP0y+Tk5ORnJxc4OvJ5XI0bNgQGo0GN27cMFjQpGrVqvjq\\\n",
       "q68MRtMUCgWGDx+O999/Hw4ODrC1tdUfk8lk6N69Ozp37ozg4GBs2rRJH5KsrKxQu3ZtzJs3D4GB\\\n",
       "gbCzszMIZIUdOcnakiG3MKnVanH69GkIgoA33njD5F+mvPPOOzh9+jQWLFgAURQxatQoNGrUyKiu\\\n",
       "VCqFk5MTxo8fj+TkZMycOdOorfbt22Pz5s2Qy+VYuHAhFi9eXGTvXqanp2PSpElISEhAnz59ULt2\\\n",
       "bSxcuBAnT57E3Llzi+QaZKx169bYunVrSXeDiChfuDE90Wvk+fPnOHDgAA4cOACpVIrOnTvj+vXr\\\n",
       "qFWrFpYuXVrS3aMioFKpXskIj7u7OyIiInDmzBmcP38e0dHRmDZtGmrWrIm+ffsiJCQENjY2RufJ\\\n",
       "5XJ4enoahMHsx9etW4eEhATcuHEDDx48QGJiIi5evIjOnTvDwcEBUqm0SDf81mg0ePToUa7TJUND\\\n",
       "Q/VbdjRq1AgxMTFGdQRBQP369fHbb7/h119/RevWrXMchRcEAV988QU8PT0Nyjt06ID9+/fDy8sL\\\n",
       "Li4umD9/PiZNmlSk0waVSiWWLVuGpKQk+Pn5oVOnTpg1a1aRtf+6K86N6bP+wiNrsSROFyWiksRA\\\n",
       "SFTGZU0NfPfdd1GxYkVs374d48ePR0REBH777TccPHgQ27Ztw+zZs0u6q1RG+Pv7IzQ0FG5ubvqH\\\n",
       "XUdHR8yfPx/Xr1/H5s2b4ezsXKhr2Nvbo3bt2qhcubLRiGBRS0xMxKJFi7B27docF+OZN28eoqKi\\\n",
       "oFKpcOPGDZQvX97kiJ0gCLCxsYG9vb3Z9w1fJpPJcOXKFXh5ecHGxga9e/fGf//9Z3CuRCLBggUL\\\n",
       "cPjwYbi4uBRZQEhMTIS1tTXkcjkkEkmxfp9fN8UZCF/+PXx5H04uKENEJYFTRonKOB8fH+h0OvTv\\\n",
       "3x/nzp1DgwYNjOq8+eabhX6Ap9eXQqHAzJkzMWjQILi7u+tXpjQlLwGotFmyZAm2bNmC33//Hd98\\\n",
       "8w3u3LljNLqp0+kQEhJi8ECuUqng7u6OsLAw2NnZFaoPPj4+iIyMzLGOIAho164d4uPjodVqkZKS\\\n",
       "gkePHmH16tVYu3atwZTdvJJKpZwuXgjFOXLH8EdEpQX/qpCojFu6dCkiIiLwww8/mAyDwIuNwx8/\\\n",
       "fvxqO0ZlgkQiwe7du/G///0P3t7eOYbBsiokJES/FURoaCjq169vtMiLIAjo0aOH0QhaYmIipk2b\\\n",
       "pl/ZVafTIS0tDTExMXla3KegpFIpnJ2d9avErlixokCje/Xq1TO5tyLlrjhHCImIShMGQqIybvDg\\\n",
       "wSbf5SLKC1tbWzRr1uy1fqDNvg3LvXv3MHXqVKMl/6dOnYqePXsahGJBEHDs2DGcPn0aoaGhOHz4\\\n",
       "MIKDg9GhQwf07t0bN2/eLPaRHqlUigEDBsDBwSFf51lbW2Pnzp0mNz8v65+sabXFGdAYCInIUjAQ\\\n",
       "EhGVYgcOHMAXX3wBhUJR0l0pVPDRarVQKpU5vsMnimK+NrHX6XT4+++/8cUXXyA8PNzs1g5ffvml\\\n",
       "0QP76tWrkZCQYFBmb2+P33//HdeuXcOwYcNQrVo1tGjRAr1794ZKpcLJkyfxzTff4O+//8bNmzex\\\n",
       "d+9eNG3aFKNGjUJGRkae+lxQNjY2qFy5slG5RCJBvXr1MHnyZAwaNAj+/v5wcXFBgwYNcO3aNfj6\\\n",
       "+hZrv15nDIREZCkYCImISrGOHTti7ty5iIqKgo+PT5G3r1KpTK6m+bL4+Hi8++67qFmzJjZv3mwy\\\n",
       "GD59+hTvv/8+2rVrhy1btiA9PR06nQ6ZmZn4559/UK5cObi4uKBcuXL466+/DMKbKIp4/vw5Jk2a\\\n",
       "hHbt2mHMmDE5buaeZfv27Xj//fexYMEC1KlTx2jUL0uNGjXQpEkTgzK1Wo3Q0FCjujKZDDVr1sSv\\\n",
       "v/6K27dv4+jRo5g0aRICAwNRr149yOVyZGZmQqfTQafTIT09HT/++CNcXFwwc+ZMqNXqXPtdEFnv\\\n",
       "F74cPBwcHHD16lVcuXIFCxcuxIYNG/Dw4UPExMTg0qVLqFatWrH0hYiIXi8MhEREZYBCocDNmzeL\\\n",
       "fFEXrVaLdevWmR39y8jIQMWKFbF7927cvXsXgwYNMtpnLTY2FtWqVcOff/6JY8eOoX///nB3d0eH\\\n",
       "Dh3QrFkz9OjRA1FRUVCr1YiKikKvXr3QuHFj/P7779i/fz8GDBiAypUr49tvv8XJkyfx448/omnT\\\n",
       "pkhNTTXbb1EUMXXqVGg0GoiiiKSkJGzatMnkCKQgCDhw4IDBqql2dnYQBCHHUU+JRAIrKyvI5XIo\\\n",
       "FArUqlULo0aNMjl1MyMjA7NmzYKdnR2CgoJw9+5dKJVKqFQqpKWlIT4+HikpKWZHMXMjCAI+/PBD\\\n",
       "VK5cGa6urhgwYACioqJQp04dg5AokUj023ZQ4XCEkIgsBQMhEVEZ4eLigtatWxdpm6IoYvny5UhL\\\n",
       "SzN5fNq0aQbBTBRFfPzxxwbTOidOnGi0AqZSqcSxY8dw7do1o5Cm0+lw/fp1DB06FD169MC2bdsM\\\n",
       "FmgRRRHPnj3Lcc88jUZjMLIpCAKcnJzMLrzi5OSEf//9F97e3lAoFKhRowYcHR3Ntm+KTCZD+/bt\\\n",
       "MWDAALPBXKvVYv/+/ahRowbs7e1hZ2cHJycneHp6wtPTE3Xq1MHvv/9eoCmmNWvWxLlz5/D06VNs\\\n",
       "3LjR7F6PVDQYCInIUjAQEhGVIZ9//nmRtxkfH48ff/zRqFyn0+Gnn34yKk9NTdUHGlEUceLECZPt\\\n",
       "5jT6JooiMjMzoVKpzL4z+Msvv5g9lpaWZtC+n58fFi9enONKnE2bNsX333+PoKAgdOnSpUDvZVpZ\\\n",
       "WWH69OlwcnLKtW7WqqRarRZarRYZGRm4e/cuPvjgA9SvXx8nTpzI8/uSwIvRPxcXFygUCgaQV4CB\\\n",
       "kIgsBQMhEVEZUr58+SJvUxRFzJw5E0ql0qD87t27JrdWyAo6WcwtFCORSFC1alX4+fmZDGpWVlZw\\\n",
       "cXExO9KVlpZmdu+9e/fu6Tdat7e3x7///ovOnTubvUfgxWqdnTt3xtSpU/H222/DxsamQAvluLm5\\\n",
       "oWXLlvk+L4tGo8GDBw/Qq1cvHD16tFhWKdXpdEhNTUVMTAzi4uKQmJiI+Pj4XPdCpP/HQEhEloKB\\\n",
       "kIioDHnw4EGxtKtUKjF8+HB90NNoNHjrrbfM1reysgLw4qHZw8PDZJ0333wTISEhuHXrFlauXAlX\\\n",
       "V1dIpVLIZDJ4e3tj/vz5OH/+PM6fP48333zT6KHa3t7eZNhUKpVYsWIFBEGAg4MD5s6dizp16uTp\\\n",
       "/UpbW1vUrVsX1apV0wfC/AYyiUSCGjVq5OucLIIgQCKRQBAEKJVK7NmzJ8eVV/NLrVZj0aJF8PDw\\\n",
       "gIuLC7y9veHl5QUPDw94eXnBz8+vyK71umMgJCJL8frtQExE9BoLCQkptrb37t2LqKgoeHh44Pr1\\\n",
       "63j+/LnJelmhJouzs7PJemPGjNG/pzdo0CCEh4djw4YNAICBAwdi2LBh+nN//fVXtG/fHk+ePIEo\\\n",
       "ihAEAbVr1zbYExB4MfJ19epVXLx4EQDg6emJzp075+uB3MrKyiA86nQ6o3vKTVxcXJ7rvkwqleqv\\\n",
       "7+joCG9v7wK1Y4pWq8XXX3+N+fPnmx1ZJSIiyo6BkIioDBBFEU+fPjX5Tl9RSUpKQuXKleHp6Ynw\\\n",
       "8PAcp4K+HKhcXV2N6lhbW6NLly76oKZQKDBr1ixMmTIFOp0OCoXCIID5+/vjwYMHuHfvHvbv34/q\\\n",
       "1aujVatWsLa21o/iRUREYMqUKfj333+Rnp4OGxsbBAcHm9yfLydZU00B6LeOiImJgSAI8PHxgVwu\\\n",
       "z/H8jIwM7Ny5M1/XBF6MTvbq1QsdO3aEtbU1XFxc0KRJE6PQm51Op4MoijmOgCYmJiIgIACJiYn5\\\n",
       "7heZlp+RP44QElFZxkBIRFSKjRs3DqmpqXj48CFu3ryJ+Pj4Yr1eenq6yf35XmZlZWXwABwWFmZU\\\n",
       "x93d3SjoCIKQ40IuWVMxs0/H1Ol0OHz4MHr16oXk5GT9FE9HR0cMGDAgXyN7pjx58gQjRozAvXv3\\\n",
       "4O/vj02bNqFatWomH/IzMzPRqVOnAgWvRo0a4ZtvvoGrq6t+2mhuQSIlJQVjx47F8+fPsWTJEtSq\\\n",
       "VcuoTkJCAnx8fDgqWMQYCInIUjAQEhGVYsuXLy/pLhh5eYVNnU6H27dvG9UpynfVNBoNPvroIyQl\\\n",
       "JRmUu7u7w8vLq1BtC4KAv//+G+fOnYNWq0VcXBzq1q2LVatWYejQoQZhMykpCU2aNCnwe5wVK1aE\\\n",
       "i4tLriOCWdLT01GrVi194K5fvz6++eYbjB07Vh9AEhISUK5cOYbBYsBASESWgovKEBGVIYIgQCaT\\\n",
       "legD6KBBg/TXT0lJQUpKilGdevXqFdn1VCqVyVHI5s2b52khmdzs3LnTYHpsZmYmxowZg4iICH2Z\\\n",
       "RqPBiBEjCrWoz82bN/O8gE1GRgaqVatmcN8ajQYTJkxAu3btcO7cOaxfvx7lypUzuRIsFR4XlSEi\\\n",
       "S8ERQiKiMsTKygofffQR0tPTsX79+iJdoTIvst4FzHLjxg2Te+m99957RXbNjIwMk9cYOHBgjudl\\\n",
       "vR9oZWVl9r1AnU6H+/fvG5Wr1WqD0UGJRILU1FSTbXh6emL06NFQKpX4/vvvkZaWZrLevXv3EB4e\\\n",
       "joCAALN91mq1uHbtGt58802jEVHgxbukx48fR8uWLQu0QirlHUcIichSMBASEZUh5cuXx6JFi2Bl\\\n",
       "ZQUbGxuTG8q/zNHRESNHjkSHDh2gVquxZ88ebN++HTExMfm+tkwmw/3792FnZ6cvMzU6ZWVlhVat\\\n",
       "WuW7fXNsbGyMygRBQJMmTcyeo1arMXnyZPzzzz9o06YNVq5caXK/Q6VSieTkZKNyX19fgxVAJRIJ\\\n",
       "1q1bhxo1aiAhIUHfr++//x7Dhg3Tj1QOHjwY9erVMxnU09PTMWrUKGzZsgX29vb6fj5+/Bj//PMP\\\n",
       "/v33X1y5cgWpqam5Br38bGhPRESUEwZCIqIypFmzZrCzs4MgCFi4cCFWr14NjUZjsu7y5csxZswY\\\n",
       "g7IuXbrghx9+QEJCAmrWrImoqKg8XVcQBDx8+BA+Pj4G5a1bt4aXlxeio6MBvAhSZ8+e1a88Kooi\\\n",
       "1Go1RFGEtbV1gUZS7O3t4e7ubhBiHR0d4eDgYLJ+eno6/Pz89AvwPH78GK6urvjmm28Mrq/T6dCm\\\n",
       "TRuj8GZtbY0HDx4YLVbj6emZ66I+1atXh4ODg9lFZ/bu3QtXV1fI5XJoNBpkZmbm2B6VHI4QEpGl\\\n",
       "4DuERERlyMOHD/WjRzmNIslkMnz00Udmj7u4uODx48eoUKFCnq5rbgN6a2trbNiwAZ06dcK8efNw\\\n",
       "7949+Pn56R+Q79y5gypVqsDd3R2DBw+GWq02aiO30TBBENC1a1eDMltbW5Ojk6IoYtiwYQbBTRRF\\\n",
       "7Ny50+DaOp0O33zzDa5evWrUxooVK2BlZZVjn8x58OCByRHHl2m1WqSnpxdJGJTJZKhYsSLq1q0L\\\n",
       "T09PoxVgqeD4DiERWQoGQiKiMuT27dtITU2FTqfDo0ePzE4dVCgUJqdavszW1hZ37txBo0aNcn2g\\\n",
       "1el0ePbsmVG5IAgIDAzE1q1bMWXKFIPppKIoYvLkyQgLC0NaWho2bdqEDh06FCgIZd8GIj4+HgsX\\\n",
       "LoRSqdS/S6fT6XDgwAH88ccfRuc/f/4cV69eRWZmJtLT07FgwQJ8/vnnRmHU1tYWQ4YMyXf/gBdh\\\n",
       "vX79+q9sOqdcLsetW7fw+PFjXLt2DZGRkYiOjsb48eMNfg5UMAyERGQpGAiJiMqQtLQ0rF27FmFh\\\n",
       "YVi2bJnZ8OHi4pKn9mxtbXH69GkMHTo01w3ZO3fubHI0TyaTwdHR0WiKpSAIRquDnjp1Cnv27DFo\\\n",
       "J7eHaVEU8ddffxmco1ar8fXXXyMgIAAjRozAsmXLMG3aNPTv39/k+3sZGRkYPHgwJk6ciFatWuGr\\\n",
       "r74yWe+DDz7I9+hgVvCtWrXqK93+Yfbs2ahatar++ycIApydnbFo0SJ0797d5Pe1sHs2WhIGQiKy\\\n",
       "FHyHkIioDNHpdJg7dy5OnjyJI0eOmK2XnxEia2trrFq1Cg0aNMAXX3xhdjXNhw8f4n//+x+++eYb\\\n",
       "fbDQaDRQqVQmF2wBgD59+uDKlSv6r0VRxNq1a42mgObkwoULOHfunFG5TqdDdHQ0fvnlF/1WHOZW\\\n",
       "XRVFEffu3cODBw/MhmiJRIJhw4bluV9ZfQgMDMTp06fzdV5hSSQSjB071uQxmUyG8ePHY8uWLUYB\\\n",
       "vii26bAkDHpEZAn4V4VERGVMXFwcdu/ebXbhEgD5HqmSy+UYMmQIhg8fnuMI2dKlS9GgQQMcPnwY\\\n",
       "V69excGDB3H37l2zIWvChAlQKBQGZfkJq7GxsQgMDMx1GqZGozG7uM7LcmpHIpEgOjraIERptVqE\\\n",
       "hobi5MmTCA8PNwicGo0GAwYMeOVhEHixyb25EA68WNzG1Gggt6kgIqLsOEJIRFTGiKKY62bkUVFR\\\n",
       "yMzMzHUa6Mtt6nQ6VKpUCQ4ODjmupnn9+nW89dZbcHBwgJeXF0aMGIG6deuarGtjY4MnT56gbt26\\\n",
       "iI6Ohq2tLf73v//laeQlMTER5cuXz1e4tbW1hVqtLtB7ilqtFhMmTICbmxuqVauGp0+fon379khO\\\n",
       "ToYoipBIJPD19cWiRYtQr149bN261eT7ikUtK9hlhVmZTJbrde3s7CCTyYxC8qvet7Is4yqjRGQp\\\n",
       "GAiJiF5DaWlpOHv2LNq0aZNrXVEUERoaigULFuDw4cNIT0+HIAg5jiZptVr9xukKhSLHqYju7u54\\\n",
       "+vQpTpw4AYVCgYYNG+bap8zMTPj5+SEjIyPXusCLB3JbW1t0794d9+7dw4ULF/I9GiaKIh4+fIg2\\\n",
       "bdpAIpFAo9EYtKHT6RAWFobhw4ejQYMGiIuLK/YRN0EQ4Ofnhxo1aiAyMhKZmZmYOHFirt9DiUQC\\\n",
       "uVxu9P3jCGHeMRASkaVgICQieg2Jooju3bsjOjoaMpn5/9SLoojVq1dj3LhxUKlUEEUxzw+3EokE\\\n",
       "tWrVQo8ePXJdrMTKygrt27fPc/tjxoxBWlpanvoBvNirsF+/fpg3bx7CwsLQrl27XLd/MEer1eY4\\\n",
       "kqbT6VC5cmW888472LBhAx48eFBsQUsURSgUCowcORLVq1eHk5MTPD0987QQDzevLxwGQiKyFHyH\\\n",
       "kIjoNZWQkIDu3bvnWGffvn345JNPkJGRYbC/YW4BRyqVokuXLti5cyc8PT3z3Ke8PDhrtVps2rQp\\\n",
       "z20CQP/+/TF79my4u7ujXr16+OSTT0zWs7a2RpcuXVC9evUCPcRLJBKMGTMGP//8M7744gtcv34d\\\n",
       "R48eRYsWLeDs7AwHBwe4u7vDw8Mj120/8urRo0c4duwYpFIpnJ2d87QwTGJiYq7TiilnXGWUiCwF\\\n",
       "AyER0Wts9+7dWLt2rcljWq0W/fr1Mxv+JBKJyQdde3t7bNiwATt27ICHh0eeH4ZFUYRWq801bIaG\\\n",
       "hhpNdZTJZLC1tTU5EikIAgYPHgx3d3cIggCpVIrp06cbLWajUCjw5MkT7Nq1C0eOHMl3YHNwcMDJ\\\n",
       "kyexaNEifV+sra3Rpk0bnDlzBvHx8UhMTERUVBTCw8Nx48YNNG3atNBbPahUKvzwww/o168f/vrr\\\n",
       "LyiVyhzri6KIbt268X3BQmIgJCJLwUBIRPSaGz58uMktKmJjY81uMZEVrKRSqcE+dx4eHti/fz/6\\\n",
       "9euX41TUl2Wt1Dlt2jR06tQJH3/8Me7evWsysCiVSgwYMAA6nQ6CIEChUGDJkiWIjo5GZGQkfvjh\\\n",
       "B5PXzR4y7e3tMXfuXP1omkKhwNOnT+Ht7Q2pVApvb29UrVo1175LJBKUL18ee/fuRUJCAlq2bGn2\\\n",
       "4V8QBEgkEkgkElhZWaFy5cr466+/ULt2bf33MetjLmybk5mZicuXL2PIkCGoU6cOLly4YHJKqFqt\\\n",
       "RlBQEE6dOpXntsk0BkIishR8h5CI6DUniiI6dOiAFStWYOTIkfoFY7Zu3WpytC5r5EsulyMzMxNq\\\n",
       "tRrAixU8x4wZgyZNmph8AM5a/TQsLAxXrlzBsWPHcOzYMTx69MhgSuqRI0ewevVq2NjY4I033kBw\\\n",
       "cDDc3Nzw999/Y+3atUhNTYUoirCzs8N///2HVq1a6a/34Ycf4ptvvsHDhw8NrvvTTz+hatWq8Pb2\\\n",
       "BvDiYX7QoEE4fvw44uLisHHjRri6uurPEQQBXbt2xbVr10x+z2QyGXr27IkNGzbkeaVWU3x8fLBq\\\n",
       "1SpMmzYNd+/ehUqlgk6nQ0ZGRoFXQn3y5AmaNWsGV1dXDBw4EIGBgYiPj8emTZtw5syZXNt9HcLL\\\n",
       "Z599ZjQCTEREBcNASERkAURRxKhRozB37lwsX74cSUlJmDdvnkEdQRBgZ2eHihUronz58lAqlXj6\\\n",
       "9Kl+v8NKlSohKCjI5DtsCQkJmDp1KjZv3oy0tLQ8LbKSkZGBQ4cO4dChQyaPOzs7o2nTpgYBRiaT\\\n",
       "wd7e3qjujh07EBsbiz/++AMKhQI6nQ46nQ7BwcGoUqUK/Pz8jM5p1qwZJBKJwUiblZUVpkyZghkz\\\n",
       "ZuS4H2NeSSQSNGrUCMuWLcPJkydx9uxZnD17Fs+ePSvUQjSiKCIuLg7Lly/H8uXLC91PMsZFZYjI\\\n",
       "UjAQEhFZkOfPn6N3795G20rIZDJUqFABffr0Qdu2beHg4ICYmBicP38eV69eRWZmJgIDA1GuXDmD\\\n",
       "9jIzM7FlyxZ8+umnZqefFpSpVUaVSiUeP35sVJ6RkYEDBw6gVatW6NOnD+RyOe7cuQO5XI6RI0ca\\\n",
       "1ddqtYiLi4OnpydSUlLg7e2NhQsXolu3bnmeCptX1tbWqFWrFnx9feHr64tLly4Z7Q9IpQ8DIRFZ\\\n",
       "CgZCIiILlH10KmtlUalUCkdHR1SoUAE1atTAG2+8gfT0dGg0GigUCjg5OekXh4mNjUX//v1x9OjR\\\n",
       "Ytl2ISUlBSEhIWjdujUEQYBarcakSZOQkpJisr5Op8P169dx48YNfZlEIsHff/+N5cuXIygoCDKZ\\\n",
       "DGFhYfj+++9x5MgRBAQEYNq0aXjnnXeKPAhmEQQBcrkcbm5uqFu3bp4W1qGSx0BIRJaCgZCIqIyR\\\n",
       "SqVwdXWFUqnM1159Ocl6N23p0qU4e/Ys5s+fj/r160Mul+sfdl/eliI5ORnDhw8vtjAIvAh4QUFB\\\n",
       "+OijjxAQEIA1a9bg9u3buV7v5eNarVY/KiqVSg325xMEARUrVkTr1q2LLQxmEQQBMpkMbm5u3A6i\\\n",
       "jGAgJCJLwUBIRFTGODk5ISgoCPfu3cOVK1f0i74UliiKUCqVOHLkCFauXIk1a9YYPOi+vNqoUqnE\\\n",
       "yZMni32kKz09Hd9//32RtJV9VVNRFBEWFobExES4uLgUyTWyqNVq6HQ6yOVyg20nZDKZ2RHOwhIE\\\n",
       "AVWrVsWUKVNQv359pKWl4fjx49i8eTMePXoEtVrNkcl8YCAkIkvBbSeIiMqYtLQ0nDp1Ck+ePAHw\\\n",
       "YlqkVCqFQqGAr68vHBwcCtW+TqfDrl27cgwPdnZ2r8V7cBqNBpMmTSqy9kRRxObNm1GpUiVUr14d\\\n",
       "a9as0Qd2URQRGxub6z6CBWFvb4+7d+/i7t27+PDDD9G4cWO0adMG06dPx82bN5GYmIirV6/iu+++\\\n",
       "K/JrExFR2cZASERUxqhUKjx58gQxMTH6LQYUCgXefvttjB07FjVr1iz0iEVKSkqOgU+hUMDDw6NQ\\\n",
       "1ygtdu7ciUePHhmV63S6fI+oxcXFYdiwYQgPD8fTp0/xySef4M0330RoaCji4uKwcOHCAm03YY5E\\\n",
       "IkGTJk0QGRlpdl9FQRBgY2ODunXrYuzYsUV27dcd9yEkIkvBQEhEVAZlLQKT9U6cIAho3rw5WrZs\\\n",
       "CR8fn0K3r9VqER0dbfa4VCpFt27dDKZDZpU7OjrCxcWl2N/LKyparRZ16tTBoUOHkJKSgqdPn2LE\\\n",
       "iBHw9/fHqlWrTG4Ab05oaKjBFF5RFHH69GnUqlULrVu3xsaNGwvcT0EQ4OnpiUGDBuGHH37A4cOH\\\n",
       "ERUVhXPnznFPvmLAQEhElqJs/N+aiIhylJqaigsXLqBcuXKIiIgoknfFPvvsM2zbts3kw65Op0PL\\\n",
       "li2xbds2xMXFAQBcXV3xzjvvoEuXLlCpVPj1119x4sSJInvHsTilp6ejY8eOkEqlBiOD48aNQ5cu\\\n",
       "XVChQoU8tRMQEGC0pQfwYruMe/fuFfjnIggC1q1bh0GDBhmFcCoefIeQiCwFAyER0WtAq9Xin3/+\\\n",
       "wcWLFxEWFlYkbe7YsQPjx4/HjBkz9CNQmZmZSElJwe3bt3HmzBn4+/vDx8cHtWvXxuDBg9G4cWPY\\\n",
       "2dlBq9WiUaNGWLlyJf7880/Ex8frRzIFQUBmZmapfAcx+8IzmZmZmDdvHn766ac8ne/i4gIvLy9E\\\n",
       "RkYaHStMSK9SpQoGDx5cJMHjdVhYZv78+UU69dYUBkIishT8a0YiMikzMxNTpkxB3bp19YuVfPDB\\\n",
       "B4iIiMj13B9++AH+/v6wsbFB8+bNce7cOYPjGRkZGDVqFNzc3GBvb4/3338fUVFRxXUrZVp0dDQu\\\n",
       "XLiABg0a5Fo3PT0dDx8+hEqlKpJri6KI5cuXw8PDAwqFAgqFAs7OzqhYsSI6d+6MX375BREREahf\\\n",
       "vz4mTpyINm3awMXFBTY2NlAoFKhWrRoWLVqEy5cv4/bt23jy5AmioqIQExODsLAwTJw4EVKp1Oi6\\\n",
       "EokEzs7OkMvlRXIfhbV9+3ZkZGTov9bpdEhOTjb5fRYEAUePHi3yPvTs2ZOh4xXjlFEishQMhERk\\\n",
       "klKpxKVLl/Dll1/i0qVL+PPPP3H37l107do1x/O2bt2KiRMn4quvvsKlS5dQv359BAUFGbyPNmHC\\\n",
       "BPzzzz/Yvn07jh07hoiICPTs2bO4b6lM8vDwQOPGjXHp0iVMnTq1RPqQ9Z5i1kej0UCtViM1NRUR\\\n",
       "ERGIioqCn58frK2tDR6MJRIJbGxs4OHhgYoVK8Lb2xuOjo5QKBTw8vLC4sWLTf7cJRIJGjdujM6d\\\n",
       "O5eKUJiUlITz58/r7z85ORmXL19GeHi4ydG26tWro3LlyibbEgShQFM+r127lu9zshNF0WgElIiI\\\n",
       "iIGQiExycnLCgQMH0KdPH1SvXh0tWrTAihUrcPHiRTx9+tTseUuWLMGIESMwbNgw1KpVC6tWrYKd\\\n",
       "nR1+/fVXAC8ern/55RcsWbIE7du3R+PGjbF27VqcPn0aZ8+efVW3V+YIgoDJkyeXuoVaNBoNIiIi\\\n",
       "TI705UYikaBv375G5TqdDk5OTujQoQPKlStXFN0sFJ1Oh2PHjkGj0egDoK2tbY4/i/79+5ssl0gk\\\n",
       "BQqEly9fLtQUydTUVOzevRtffPFFgduwNBwhJCJLwUBIRHmWlJQEQRDg7Oxs8rharcbFixfRsWNH\\\n",
       "fZlEIkHHjh1x5swZAMDFixeRmZlpUKdGjRqoUKGCvg6Z5uLigi1btpR0NwyIooh79+4hNTW1QOe/\\\n",
       "9dZbRgEpaxSuS5cu2LJlC9zc3IzOk8vlGDRoEH7++Wd07ty52IPyTz/9hMTERACAg4MDGjRoAF9f\\\n",
       "X7NBYPz48SaPFfT9vcjISDRq1Cjf32edTof+/fvD0dER7733HhYuXFig61siBkIishQMhESUJxkZ\\\n",
       "GZgyZYr+4dKU2NhYaLVaeHl5GZS/vMhGZGQk5HK5Uag0txBHFpVKheTkZIOPJXr//fexa9euUvUA\\\n",
       "qlQq8dZbb+Vre4Ys9vb2cHBwMCq/fv06vL290bRpU9y9exeurq76Y1KpFNu2bcOGDRswYsQI7N69\\\n",
       "G2q1Gs+fPy+2YBgeHo4dO3ZAIpFAKpVCLpfneC1zUzOzptwWxI0bN+Dg4ABXV1d9OM2JUqmEQqHA\\\n",
       "li1bXouFZEoCwyARWQIGQiICAGzatAn29vb6z4kTJ/THMjMz0adPH4iiiB9//LFE+rdgwQI4OTnp\\\n",
       "P+XLly+RfpQG7777LkaPHl2gaZrF5c6dO9i2bZvZ42lpaXj+/LlRUBIEAY0bNzaqn5KSAolEAkEQ\\\n",
       "4OLigoYNGxocr1ixolE73t7eGDlyZCHuwjxRFLFw4cI8vYOn0WgwbNiwYgthCQkJaNq0aY6LB2Vm\\\n",
       "ZqJdu3YGi+FQ/rzKEUKGSyIqSQyERAQA6Nq1K65cuaL/NGnSBMD/h8HQ0FAcOHDA7OggALi7u0Mq\\\n",
       "lRqtGBoVFQVvb28AgLe3N9RqtdEIx8t1TJk2bRqSkpL0n2fPnhXwTss+iUSCb775BgcPHkSHDh1g\\\n",
       "Z2dX0l0CAAwaNMjkKG9iYiIaNmyIgIAA1K1bF0lJSQbH+/XrZ3SOWq02CDwvT5XUarW4f/++yT7M\\\n",
       "mjWroN3P1dOnT3H48GGjcp1Oh8TERBw9ehRjxoyBr68v9uzZU2z9AICwsDBcvnwZWq1Wv+hP1pYg\\\n",
       "Fy9eRPPmzXH+/Pli7cPr7lUFwtL0FztEZJkYCIkIwIv3oqpUqaL/2Nra6sPg/fv3cfDgQZPvcr1M\\\n",
       "LpejcePGOHTokL5Mp9Ph0KFDaNmyJQCgcePGsLKyMqhz9+5dPH36VF/HFGtrazg6Ohp8LJlcLke7\\\n",
       "du2wf/9+PHnyBO3bty/x0QWtVosqVaogPT1dXyaKIkaPHo379+9DpVLh9u3b8PPzQ3x8vL6Ov7+/\\\n",
       "ybauXbsGnU6HpKQkXL9+3eD4pk2bTPbB2dkZNjY2RuVWVlZo06YNunbtCicnpwLdnyiKePfdd3Hk\\\n",
       "yBFkZmYiMzMTt2/fRtOmTeHu7o4333wTK1asQExMTIHazytBEFCvXj1YWVkhLCwMv//+Oxo1agRn\\\n",
       "Z2e4urqiadOmuHz5crH2wRK8ikAYHBxcoKnWRERFqXQtV0dEpUZmZiZ69eqFS5cu4d9//4VWq9WP\\\n",
       "/ri6uuq3A+jQoQN69OiB0aNHAwAmTpyIIUOGoEmTJmjWrBmWLVuGtLQ0DBs2DMCL1UuHDx+OiRMn\\\n",
       "wtXVFY6OjhgzZgxatmyJFi1alMzNlmJZ71oKggBHR0e8//77+PLLL+Hi4gLgxWihh4cH/vjjD/j7\\\n",
       "+5f4u5VpaWlo3LgxLl++DLlcjtTUVKPRstTUVAQEBOD8+fPw9fXF5cuXIQiCwRRLURQxbtw4/PLL\\\n",
       "L1i1ahWUSqVBG8eOHYMoikYP4oIgYPz48fj666/1ZU5OTrh586Z+ERidTocTJ06gc+fORu3mJjMz\\\n",
       "Ex06dNCHzoyMjFf6fp5CocCaNWvQrVs3SKVSXLlyBZ9++qnRqCuVjJMnTxqsnBsYGKj/b6Mpq1ev\\\n",
       "BgCTv8tERK8KAyERmRQeHo6///4bAIw2RT9y5AjatWsHAHj48CFiY2P1x/r27YuYmBjMmDEDkZGR\\\n",
       "aNCgAfbt22ew0MzSpUshkUjw/vvvQ6VSISgoCCtXriz2eyqLXn7QT0xMxNKlS3Hy5EmcPXvWYHVO\\\n",
       "Z2dn1KlTB6dPny6Jbhq4c+cOVq5cieDgYISFhRmMGGZJTk5Gw4YN0b59e1y/ft1kqLp27Rp69OiB\\\n",
       "58+fmzxfo9HAysrK6NicOXNw9uxZnD9/HvXr18f+/fuhUCj0xyUSCdq2bYvIyEj4+vrme+VOURRN\\\n",
       "3lN+WVtbo3LlynB0dMSTJ08QGxub44IzHTp0wO7du2Ftba0v8/T0REpKSqH7QsbyM/KXVS8iIsLg\\\n",
       "Xdpt27aZDYRZ5yxatKiQPSUiKhwGQiIyyd/fP08jH0+ePDEqGz16dI5/K25jY4MffvgBP/zwQ2G6\\\n",
       "aLEuXryI5ORkg5VaBUFA69atiz0QCoKAVq1aoWfPnlizZg1u375tVEcURaxcuRLdunVDWlqa2X33\\\n",
       "lEplju/aaTQaPH361OSUuqyppO7u7kbHZDIZDh8+DI1GA5lMZvah3sHBAX/++Sfeeusto2NZC9oU\\\n",
       "10budnZ22LhxIzp16gSJRILQ0FCMHDkSJ06cMHm/Pj4+2Lt3r1EA9vT0LJb+UcECoa+vL1q3bq0v\\\n",
       "DwwMNFnf19cXwIvf1UmTJhWyp0REhcNASERUxuh0Oly/ft3oYbN+/fp5Ov/lB11RFPM85VEqlWL/\\\n",
       "/v148803IQgCPv30U/j5+SEuLs6obmxsLNLT0+Hg4ACFQmF2amZu70/ldNxcIARe3KOp0cPs2rRp\\\n",
       "A4lEYnQde3t7eHl5mV28prC6du2Kzp07w9raGqIoonLlyujcuTNOnjxpsv6wYcNM3o+1tbXJ/lPh\\\n",
       "FSQQtm7dGlu3bs21ftaot0ajMTntOSQkBM2aNctnj4mICoaLyhARlUFXr141KstpldbsCrIYRuvW\\\n",
       "rfVhEHgx0tunTx+TdbVaLaRSKezt7YttAaCC7uf3MisrK5P7Cbq5uaF58+bF8l6XIAjo3LmzPuAJ\\\n",
       "ggCJRAIbGxuz4Txr1d/sJBKJ2RFYKpziXFRm8ODBsLKyMvhksbKyYhgkoleKI4RERKVYfhYsad++\\\n",
       "/SvfgHzlypW5vv/54MGDV9Sb/JNIJDnu57dhw4ZX0g+ZTIaxY8di7Nix+TpPEIQc+08FV5ARwrxa\\\n",
       "v3491q9fb7INtVqdr7aIiAqLf61IRERERERkoThCSERERJRNcY4QmvKqR/eJiLIwEBIRERFl86oD\\\n",
       "IRFRSWEgJCIi+r/27j2m6vqP4/gLAg4qFxONEynqKnWal4QkZq2WTFpOJZ06p3jJvBR0szVrTal1\\\n",
       "sbKV6dT+6bI5lkqz2cW1GSZqig7RldPISLFFgGZcpiIkn98fru+v8xXkIocDfp6P7btxPuf9+X4+\\\n",
       "n++c8+Xn8DmAC4EQgC0IhAAAAC4EQgC2IBACAAC4EAgB2IJTRgEAAADAUuwQAgAAuLBDCMAWBEIA\\\n",
       "AAAXAiEAWxAIAQAAXAiEAGxBIAQAAHAhEAKwBYEQAACgEQQ9ADbglFEAAAAAsBQ7hAAAAC58ZBSA\\\n",
       "LQiEAAAALgRCALYgEAIAALgQCAHYgkAIAADgQiAEYAsCIQAAgAuBEIAtCIQAAAAuBEIAtuBrJwAA\\\n",
       "AADAUuwQAgAAuLBDCMAWBEIAAAAXAiEAWxAIAQAAXAiEAGxBIAQAAHAhEAKwBYEQAADAhUAIwBac\\\n",
       "MgoAAAAAlmKHEAAAwIUdQgC2IBACAAC4EAgB2IJACAAA4EIgBGALAiEAAIALgRCALQiEAAAALgRC\\\n",
       "ALbglFEAAAAAsBQ7hAAAAC7sEAKwBYEQAACgEQQ9ADYgEAIAALiwQwjAFgRCAAAAFwIhAFsQCAEA\\\n",
       "AFwIhABsQSAEAABwIRACsAVfOwEAAAAAlmKHEAAAwIUdQgC2IBACAAC4EAgB2IJACAAA4EIgBGAL\\\n",
       "AiEAAIALgRCALQiEAAAALgRCALbglFEAAAAAsBQ7hAAAAC7+3CFsrL579+46f/58q+4DAO2BHUIA\\\n",
       "AACXfwNhS6+28Hg8Cgm58n/zFy5c0DPPPNOeSwCAFiEQAgAAuPgzEBpjZIxRbW2t6uvrNXr0aEnS\\\n",
       "mjVr/LEUALgmPjIK4IZWX1+vN998M9DTANCO6uvr/T5GWz4yunfvXs2YMcNpv//++5WZmdls/xMn\\\n",
       "TkiSQkND2zBTALg+BEIAN7yO+McjgBtLWwJhaWmptmzZ4rRv2bKl2UD466+/qqamRpJUV1fXxtkC\\\n",
       "QNsRCAEAANpBXFyc7rvvPuf1/fff32yfO++8U5LUt29fv80LAK6FQAgAAODSlh3C++67T5s3b27V\\\n",
       "GJLUq1cv/f77762fJAC0Aw6VAdAiS5YsUVBQkFavXt1s7bp16zRgwACFh4crKSlJBw8e9Hm/trZW\\\n",
       "GRkZiomJUUREhKZOnary8nI/zRwAWs+fh8qcO3fO6dOjRw/99ddf/lgCALQIgRBAs7744gvl5+cr\\\n",
       "Li6u2drNmzdr6dKlysrKUmFhoUaOHKnU1FRVVFQ4Nc8995y++uor5eTkKC8vT6WlpZoyZYo/lwAA\\\n",
       "reLPQBgTE+P8fNttt2nw4MEaPHiwXnnllXZeBQA0j0AI4Jr++OMPPfXUU8rOzm7RCXjvvfeeFi5c\\\n",
       "qPnz52vo0KH68MMP1b17d3388ceSpKqqKn300Ud677339NBDDykhIUGffPKJ9u3bp/z8fH8vBwBa\\\n",
       "zJ/fQfivX375xbleffXVdpo5ALQcgRBAkxoaGpSenq4XXnhBw4YNa7a+rq5Ohw4dUkpKitMWHBys\\\n",
       "lJQU7d+/X5J06NAh1dfX+9QMGTJE8fHxTg0ABFpHfA9hYxcAdDQOlQHQpLffflshISF6+umnW1R/\\\n",
       "9uxZXb58WbGxsT7tsbGx+vnnnyVJZWVlCgsLU8+ePa+qKSsra/Lely5d0qVLl5zX1dXVLVwFAAAA\\\n",
       "msIOIQBJUnZ2tiIiIpwrLy9PH3zwgT799NPr/khUe1i5cqWio6Odq1+/foGeEoAbmD93CAGgMyEQ\\\n",
       "ApAkTZo0SUeOHHGuffv2qaKiQvHx8QoJCVFISIhKSkr0/PPPa8CAAY3eo3fv3rrpppuuOjG0vLxc\\\n",
       "Xq9XkuT1elVXV6fKysomaxrz0ksvqaqqyrk4oh2APxEIAdiCj4wCkCRFRkYqMjLSeb1o0SJNnDjR\\\n",
       "pyY1NVXp6emaP39+o/cICwtTQkKCcnNzlZaWJunK7yHm5uYqMzNTkpSQkKDQ0FDl5uZq6tSpkqSi\\\n",
       "oiKdPn1aycnJTc7P4/HI4/FczxIBoMXa8j2EANAVEQgBNComJsbnaHRJCg0Nldfr1eDBg522cePG\\\n",
       "6dFHH3UC39KlSzV37lwlJiZqzJgxWr16tc6fP++EyOjoaC1YsEBLly5Vr169FBUVpaeeekrJycm6\\\n",
       "9957O26BAHANBEIAtiAQArguxcXFOnv2rPN6xowZOnPmjFasWKGysjKNGjVK3377rc9BM++//76C\\\n",
       "g4M1depUXbp0SampqVq/fn0gpg8AjSIQArAFgRBAi506dapFbZmZmc6OYWPCw8O1bt06rVu3rh1n\\\n",
       "BwDth0AIwBYcKgMAAAAAlmKHEAAAwIUdQgC2IBACAAC4EAgB2IJACAAA4EIgBGALAiEAAIALgRCA\\\n",
       "LQiEAAAALgRCALbglFEAAAAAsBQ7hAAAAC7sEAKwBYEQAADAhUAIwBYEQgAAABcCIQBbEAgBAABc\\\n",
       "CIQAbEEgBAAAcCEQArAFp4wCAAAAgKXYIQTQJRljAj0FAJ3c9fw9UVNT0+Kdv5qamjaPAwCBRiAE\\\n",
       "0CXV1NTo1VdfDfQ0AHRiNTU1io6OblWfxMREbdmyRf369Wv1eImJia3uAwCBFmT4b3YAXVBDQ4NK\\\n",
       "S0sVGRlp9e/vVFdXq1+/fvr9998VFRUV6OkEDM/hCp7DFcYY1dTUKC4uTsHBrf/tmFWrVqmgoKBV\\\n",
       "fRITE/XCCy+0eiwACDQCIQB0YdXV1YqOjlZVVZXVAYDncAXPAQDQWhwqAwAAAACWIhACAAAAgKUI\\\n",
       "hADQhXk8HmVlZcnj8QR6KgHFc7iC5wAAaC1+hxAAAAAALMUOIQAAAABYikAIAAAAAJYiEAIAAACA\\\n",
       "pQiEANCJ1NfXa9myZRo+fLh69OihuLg4zZkzR6Wlpc32XbdunQYMGKDw8HAlJSXp4MGDPu/X1tYq\\\n",
       "IyNDMTExioiI0NSpU1VeXu6vpVyX5tbilpOToyFDhig8PFzDhw/X9u3bfd43xmjFihW69dZb1a1b\\\n",
       "N6WkpOjEiRP+XMJ1W7lype655x5FRkbqlltuUVpamoqKiprtdyM+CwCA/xAIAaATuXDhggoLC7V8\\\n",
       "+XIVFhZq69atKioq0qRJk67Zb/PmzVq6dKmysrJUWFiokSNHKjU1VRUVFU7Nc889p6+++ko5OTnK\\\n",
       "y8tTaWmppkyZ4u8ltVpL1vJf+/bt08yZM7VgwQIdPnxYaWlpSktL09GjR52ad955R2vWrNGHH36o\\\n",
       "AwcOqEePHkpNTVVtbW1HLavV8vLylJGRofz8fO3YsUP19fUaP368zp8/32SfG/VZAAD8yAAAOrWD\\\n",
       "Bw8aSaakpKTJmjFjxpiMjAzn9eXLl01cXJxZuXKlMcaYyspKExoaanJycpya48ePG0lm//79/pt8\\\n",
       "GzS3Frfp06ebCRMm+LQlJSWZxYsXG2OMaWhoMF6v16xatcp5v7Ky0ng8HvPZZ5/5YQX+UVFRYSSZ\\\n",
       "vLy8JmtseRYAgPbDDiEAdHJVVVUKCgpSz549G32/rq5Ohw4dUkpKitMWHByslJQU7d+/X5J06NAh\\\n",
       "1dfX+9QMGTJE8fHxTk1n0JK1uO3fv9+nXpJSU1Od+pMnT6qsrMynJjo6WklJSZ1q7c2pqqqSJPXq\\\n",
       "1avJGlueBQCg/RAIAaATq62t1bJlyzRz5kxFRUU1WnP27FldvnxZsbGxPu2xsbEqKyuTJJWVlSks\\\n",
       "LOyqUPnfms6gJWtxKysra3bt/7a19J6dTUNDg5599lmNHTtWd911V5N1NjwLAED7IhACQABlZ2cr\\\n",
       "IiLCufbs2eO8V19fr+nTp8sYow0bNgRwlgi0jIwMHT16VJs2bQr0VAAAN5iQQE8AAGw2adIkJSUl\\\n",
       "Oa9vu+02Sf8PgyUlJdq5c2eTu4OS1Lt3b910001XnRhaXl4ur9crSfJ6vaqrq1NlZaXPLuF/azqD\\\n",
       "lqzFzev1Nrv2f9tuvfVWn5pRo0a14+z9IzMzU19//bV2796tvn37XrP2Rn8WAID2xw4hAARQZGSk\\\n",
       "7rjjDufq1q2bEwZPnDih7777TjExMde8R1hYmBISEpSbm+u0NTQ0KDc3V8nJyZKkhIQEhYaG+tQU\\\n",
       "FRXp9OnTTk1n0JK1uCUnJ/vUS9KOHTuc+oEDB8rr9frUVFdX68CBA51q7W7GGGVmZuqLL77Qzp07\\\n",
       "NXDgwGb73KjPAgDgR4E+1QYA8H91dXVm0qRJpm/fvubIkSPmzz//dK5Lly45dQ899JBZu3at83rT\\\n",
       "pk3G4/GYTz/91Bw7dswsWrTI9OzZ05SVlTk1S5YsMfHx8Wbnzp2moKDAJCcnm+Tk5A5dX0s0t5b0\\\n",
       "9HTz4osvOvU//PCDCQkJMe+++645fvy4ycrKMqGhoeann35yat566y3Ts2dPs23bNvPjjz+ayZMn\\\n",
       "m4EDB5qLFy92+Ppa6oknnjDR0dFm165dPn8OLly44NTY8iwAAP5DIASATuTkyZNGUqPX999/79T1\\\n",
       "79/fZGVl+fRdu3atiY+PN2FhYWbMmDEmPz/f5/2LFy+aJ5980tx8882me/fu5tFHHzV//vlnB6yq\\\n",
       "9a61lgceeMDMnTvXp37Lli1m0KBBJiwszAwbNsx88803Pu83NDSY5cuXm9jYWOPxeMy4ceNMUVFR\\\n",
       "RyylzZr6c/DJJ584NbY8CwCA/wQZY0xg9iYBAAAAAIHE7xACAAAAgKUIhAAAAABgKQIhAAAAAFiK\\\n",
       "QAgAAAAAliIQAgAAAIClCIQAAAAAYCkCIQAAAABYikAIAAAAAJYiEAIAuoSPPvpI48eP9/s43377\\\n",
       "rUaNGqWGhga/jwUAQKARCAEAnV5tba2WL1+urKwsv4/18MMPKzQ0VNnZ2X4fCwCAQCMQAgA6vc8/\\\n",
       "/1xRUVEaO3Zsh4w3b948rVmzpkPGAgAgkAiEAIAOc+bMGXm9Xr355ptO2759+xQWFqbc3Nwm+23a\\\n",
       "tEkTJ070aXvwwQf17LPP+rSlpaVp3rx5zusBAwbo9ddf15w5cxQREaH+/fvryy+/1JkzZzR58mRF\\\n",
       "RERoxIgRKigo8LnPxIkTVVBQoOLi4rYvFgCALoBACADoMH369NHHH3+sV155RQUFBaqpqVF6eroy\\\n",
       "MzM1bty4Jvvt3btXiYmJbRrz/fff19ixY3X48GFNmDBB6enpmjNnjmbPnq3CwkLdfvvtmjNnjowx\\\n",
       "Tp/4+HjFxsZqz549bRoTAICugkAIAOhQjzzyiBYuXKhZs2ZpyZIl6tGjh1auXNlkfWVlpaqqqhQX\\\n",
       "F9fm8RYvXqw777xTK1asUHV1te655x5NmzZNgwYN0rJly3T8+HGVl5f79IuLi1NJSUmbxgQAoKsg\\\n",
       "EAIAOty7776rf/75Rzk5OcrOzpbH42my9uLFi5Kk8PDwNo01YsQI5+fY2FhJ0vDhw69qq6io8OnX\\\n",
       "rVs3XbhwoU1jAgDQVRAIAQAdrri4WKWlpWpoaNCpU6euWRsTE6OgoCD9/fffzd738uXLV7WFhoY6\\\n",
       "PwcFBTXZ5v6aiXPnzqlPnz7NjgkAQFdGIAQAdKi6ujrNnj1bM2bM0GuvvabHH3/8qt25/woLC9PQ\\\n",
       "oUN17Nixq95zf8zzt99+a5c51tbWqri4WHfffXe73A8AgM6KQAgA6FAvv/yyqqqqtGbNGi1btkyD\\\n",
       "Bg3SY489ds0+qamp2rt371Xt27Zt09atW1VcXKw33nhDx44dU0lJif7444/rmmN+fr48Ho+Sk5Ov\\\n",
       "6z4AAHR2BEIAQIfZtWuXVq9erY0bNyoqKkrBwcHauHGj9uzZow0bNjTZb8GCBdq+fbuqqqp82idM\\\n",
       "mKB33nlHQ4cO1e7du7V+/XodPHhQGzduvK55fvbZZ5o1a5a6d+9+XfcBAKCzCzL/PWcbAIBOatq0\\\n",
       "aRo9erReeuklSVe+h3DUqFFavXp1u45z9uxZDR48WAUFBRo4cGC73hsAgM6GHUIAQJewatUqRURE\\\n",
       "+H2cU6dOaf369YRBAIAV2CEEAHRJ/tohBADAJgRCAAAAALAUHxkFAAAAAEsRCAEAAADAUgRCAAAA\\\n",
       "ALAUgRAAAAAALEUgBAAAAABLEQgBAAAAwFIEQgAAAACwFIEQAAAAACxFIAQAAAAASxEIAQAAAMBS\\\n",
       "BEIAAAAAsBSBEAAAAAAsRSAEAAAAAEsRCAEAAADAUv8DKBo9XqCU1NwAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[17] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAletJREFUeJzs3Xd0FFXDBvBndrPZTe+dDgk19A6RFkFBASnSu/BSRIqCghRB\\\n",
       "aaIIShNpgjRRihRReu9NOoFQQkIq6clms7vz/cHJfmy2pJOEfX7n7JHcuTNzJwGZh9sEURRFEBER\\\n",
       "ERERkcWRFHcDiIiIiIiIqHgwEBIREREREVkoBkIiIiIiIiILxUBIRERERERkoRgIiYiIiIiILBQD\\\n",
       "IRERERERkYViICQiIiIiIrJQDIREREREREQWioGQiIiIiIjIQjEQEhERERERWSgGQiIiIiIiIgvF\\\n",
       "QEhERERERGShGAiJiIiIiIgsFAMhERERERGRhWIgJCKifDl27BgEQcCxY8eKuylUyC5cuABra2s8\\\n",
       "efLktd87Li4OdnZ22L9//2u/NxGRJWIgJCIis5YvX47169cXdzPyZfPmzVi8eHFxNwMAoNVq8e23\\\n",
       "36JixYpQKBSoXbs2tmzZkuvzExISMGLECHh4eMDOzg5t2rTBlStXDOpt27YN/fv3h7+/PwRBQOvW\\\n",
       "rfPc1i+//BJ9+vRB+fLl83xuQbm5ueGjjz7C9OnTX/u9iYgskSCKoljcjSAiopKrVq1acHd3N+gJ\\\n",
       "1Gq1UKlUsLa2hkRSMv998b333sPNmzfx+PHj4m4KpkyZgvnz52P48OFo1KgRdu/ejX379mHLli3o\\\n",
       "3bu32XO1Wi2CgoJw/fp1TJo0Ce7u7li+fDnCwsJw+fJl+Pv76+q2bt0aly9fRqNGjXDt2jXUrl07\\\n",
       "T724165dQ7169XDmzBk0a9Ysv49bIHfu3EGNGjVw+PBhtG3btljaQERkKRgIiYhyITU1FXZ2dsXd\\\n",
       "jGJhKhCWBiUlEIaHh6NixYoYMWIEli5dCgAQRRGtWrXCo0eP8PjxY0ilUpPn//777+jVqxe2b9+O\\\n",
       "Hj16AABiYmIQEBCAd999F5s3b9bVDQsLg5+fHyQSSb5+duPGjcOuXbvw+PFjCIKQvwcuBIGBgahX\\\n",
       "rx42bNhQbG0gIrIEJfOfdImIilB4eDiGDRsGX19fyOVyVKxYEaNGjYJKpQIArF+/HoIg4Pjx4xg9\\\n",
       "ejQ8PT1RpkwZ3fnLly9HzZo1IZfL4evrizFjxiAhIUHvHiEhIejevTu8vb2hUChQpkwZ9O7dG4mJ\\\n",
       "ibo6Bw8eRMuWLeHs7Ax7e3tUrVoVU6dOzbH9uTkvIyMDM2fORJUqVSCXy1G2bFlMnjwZGRkZBtf7\\\n",
       "7bff0LhxY9ja2sLFxQVvvfUW/v33XwBAhQoVcOvWLRw/fhyCIOgNQTQ1h3D79u1o0KABbGxs4O7u\\\n",
       "jv79+yM8PFyvzuDBg2Fvb4/w8HB07doV9vb28PDwwGeffQaNRpPj92D37t3o1KmT7mdYuXJlfP31\\\n",
       "13rntm7dGvv27cOTJ090ba9QoYLJaw4ePFhXL/vnq6++yrFNObU3MzMTo0eP1pUJgoBRo0bh2bNn\\\n",
       "OHv2rNnz//jjD3h5eaFbt266Mg8PD3z44YfYvXu33s+1bNmyBeqx3bVrF9q2bWsQBk19HypUqIDB\\\n",
       "gwfrvs7683Pq1Cl88skn8PDwgLOzM/73v/9BpVIhISEBAwcOhIuLC1xcXDB58mQY+7fpt99+G3v2\\\n",
       "7DF6jIiICo9VcTeAiOh1ioiIQOPGjXXzsapVq4bw8HD88ccfSEtLg7W1ta7u6NGj4eHhgRkzZiA1\\\n",
       "NRUA8NVXX2HWrFkIDg7GqFGjcO/ePaxYsQIXL17E6dOnIZPJoFKp0KFDB2RkZGDs2LHw9vZGeHg4\\\n",
       "9u7di4SEBDg5OeHWrVt47733ULt2bcyePRtyuRwPHjzA6dOnzbY/N+dptVp07twZp06dwogRI1C9\\\n",
       "enXcuHEDP/zwA+7fv49du3bp6s6aNQtfffUVmjdvjtmzZ8Pa2hrnz5/HkSNH0L59eyxevBhjx46F\\\n",
       "vb09vvzySwCAl5eXyfatX78eQ4YMQaNGjTBv3jxERUVhyZIlOH36NK5evQpnZ2ddXY1Ggw4dOqBJ\\\n",
       "kyb47rvvcOjQIXz//feoXLkyRo0aZfb7sH79etjb22PixImwt7fHkSNHMGPGDCQlJWHhwoUAXs6D\\\n",
       "S0xMxLNnz/DDDz8AAOzt7U1e83//+x+Cg4P1yg4cOIBNmzbB09NTVxYbG2u2bVkcHBwgl8sBAFev\\\n",
       "XoWdnR2qV6+uV6dx48a64y1btjR5ratXr6J+/foGQa9x48ZYtWoV7t+/j8DAwFy1y5zw8HA8ffoU\\\n",
       "9evXL/C1sn7vz5o1C+fOncOqVavg7OyMM2fOoFy5cpg7dy7279+PhQsXolatWhg4cKDe+Q0aNMAP\\\n",
       "P/yAW7duoVatWgVuDxERmSASEVmQgQMHihKJRLx48aLBMa1WK4qiKK5bt04EILZs2VJUq9W649HR\\\n",
       "0aK1tbXYvn17UaPR6MqXLl0qAhDXrl0riqIoXr16VQQgbt++3WQ7fvjhBxGAGBMTk6f25+a8jRs3\\\n",
       "ihKJRDx58qRe+cqVK0UA4unTp0VRFMWQkBBRIpGIH3zwgd7ziOL/fy9EURRr1qwptmrVyuA+R48e\\\n",
       "FQGIR48eFUVRFFUqlejp6SnWqlVLTE9P19Xbu3evCECcMWOGrmzQoEEiAHH27Nl616xXr57YoEED\\\n",
       "898EURTT0tIMyv73v/+Jtra2olKp1JV16tRJLF++fI7XMyYkJER0cnIS3377bb3fBwBy9Vm3bp1e\\\n",
       "OypVqmRwj9TUVBGA+MUXX5hti52dnTh06FCD8n379okAxAMHDhg9z9TPzpRDhw6JAMQ9e/YYHAMg\\\n",
       "zpw506C8fPny4qBBg3RfZ/356dChg97vo2bNmomCIIgjR47UlanVarFMmTJG23jmzBkRgLht27Zc\\\n",
       "t5+IiPKOQ0aJyGJotVrs2rUL77//Pho2bGhwPPsQueHDh+vN6zp06BBUKhXGjx+v11MzfPhwODo6\\\n",
       "Yt++fQAAJycnAMA///yDtLQ0o23J6inbvXs3tFptrp8hN+dt374d1atXR7Vq1RAbG6v7ZC3OcfTo\\\n",
       "UQAvhwZqtVrMmDHDoOcpP3PHLl26hOjoaIwePRoKhUJX3qlTJ1SrVk33/XnVyJEj9b4OCgpCaGho\\\n",
       "jveysbHR/To5ORmxsbEICgpCWloa7t69m+e2Z5eamooPPvgALi4u2LJli97vg4MHD+bq06FDB905\\\n",
       "6enput7CV2V9n9LT0822p6Dn51ZcXBwAwMXFpcDXGjZsmN7voyZNmkAURQwbNkxXJpVK0bBhQ6M/\\\n",
       "86w25LZHloiI8odDRonIYsTExCApKSnXw88qVqyo93XWnmxVq1bVK7e2tkalSpV0xytWrIiJEydi\\\n",
       "0aJF2LRpE4KCgtC5c2f0799fFxZ79eqF1atX46OPPsIXX3yBdu3aoVu3bujRo4fZ+V+5OS8kJAR3\\\n",
       "7tyBh4eH0WtER0cDAB4+fAiJRIIaNWrk6vuRE1PfHwCoVq0aTp06pVemUCgM2uji4oL4+Pgc73Xr\\\n",
       "1i1MmzYNR44cQVJSkt6xV+dp5tfw4cPx8OFDnDlzBm5ubnrHsg8rzQ0bGxuj8zeVSqXueFGen1di\\\n",
       "IczbK1eunN7XWb/3y5Yta1Bu7Gee1YbiXNiGiMgSMBASEZlQkJfs77//HoMHD8bu3bvx77//4pNP\\\n",
       "PsG8efNw7tw5lClTBjY2Njhx4gSOHj2Kffv24cCBA9i2bRvatm2Lf//91+SKk7k5T6vVIjAwEIsW\\\n",
       "LTJ6jewv5MXF3Kqa5iQkJKBVq1ZwdHTE7NmzUblyZSgUCly5cgWff/55nnpcjVmyZAm2bNmC3377\\\n",
       "DXXr1jU4HhkZmavrODk56X4P+fj44OjRoxBFUS/gPH/+HADg6+tr9lo+Pj66uq/K7fm5lRV+cxPK\\\n",
       "s5gKj6Z+vsbKjV0jqw3u7u65bgsREeUdh4wSkcXw8PCAo6Mjbt68ma/zszbpvnfvnl65SqXCo0eP\\\n",
       "DDbxDgwMxLRp03DixAmcPHkS4eHhWLlype64RCJBu3btsGjRIty+fRtz5szBkSNHdEM6TcnpvMqV\\\n",
       "K+PFixdo164dgoODDT5ZPXiVK1eGVqvF7du3zd4vtz00pr4/WWWFtcn5sWPHEBcXh/Xr12PcuHF4\\\n",
       "7733EBwcbHSYY157l06ePInPPvsM48ePR79+/YzW8fHxydVn27ZtunPq1q2LtLQ03LlzR+9a58+f\\\n",
       "1x03p27durhy5YpB2D1//jxsbW0REBCQp+c0pVq1agCAR48eGT2enJxsUJbV41zYstqQfSEeIiIq\\\n",
       "XAyERGQxJBIJunbtij179uDSpUsGx3MaJhccHAxra2v8+OOPenXXrFmDxMREdOrUCQCQlJQEtVqt\\\n",
       "d25gYCAkEolu2N+LFy8Mrp8VCowNDcySm/M+/PBDhIeH45dffjGom56erlsxtWvXrpBIJJg9e7ZB\\\n",
       "0Hj1+ezs7Ay21TCmYcOG8PT0xMqVK/We4e+//8adO3d035+CyupherWNKpUKy5cvN6hrZ2eX6yGk\\\n",
       "z58/x4cffoiWLVvqVio1Jj9zCLt06QKZTKbXRlEUsXLlSvj5+aF58+Z67bh79y4yMzN1ZT169EBU\\\n",
       "VBR27NihK4uNjcX27dvx/vvvG51fmB9+fn4oW7as0T8fAAy2GPn777+hVCqLZGuIy5cvw8nJCTVr\\\n",
       "1iz0axMR0f/jkFEisihz587Fv//+i1atWum2ZHj+/Dm2b9+OU6dO6W2LkJ2HhwemTJmCWbNm4Z13\\\n",
       "3kHnzp1x7949LF++HI0aNUL//v0BAEeOHMHHH3+Mnj17IiAgAGq1Ghs3boRUKkX37t0BALNnz8aJ\\\n",
       "EyfQqVMnlC9fHtHR0Vi+fDnKlCljdvuB3Jw3YMAA/P777xg5ciSOHj2KFi1aQKPR4O7du/j999/x\\\n",
       "zz//oGHDhqhSpQq+/PJLfP311wgKCkK3bt0gl8tx8eJF+Pr6Yt68eQBeLv+/YsUKfPPNN6hSpQo8\\\n",
       "PT11C9S8SiaTYcGCBRgyZAhatWqFPn366LadqFChAiZMmJDfH5ue5s2bw8XFBYMGDcInn3wCQRCw\\\n",
       "ceNGo6GkQYMG2LZtGyZOnIhGjRrB3t4e77//vtHrfvLJJ4iJicHkyZOxdetWvWO1a9dG7dq1AeRv\\\n",
       "DmGZMmUwfvx4LFy4EJmZmWjUqBF27dqFkydPYtOmTXrDKKdMmYJff/0Vjx490u2b2KNHDzRt2hRD\\\n",
       "hgzB7du34e7ujuXLl0Oj0WDWrFl69zpx4gROnDgB4OW82dTUVHzzzTcAgLfeegtvvfWW2bZ26dIF\\\n",
       "O3fuNBjeCgB37txBx44d0blzZ0RERGDJkiVwcnLCmTNnsGXLFvTp0yfP3xtTDh48iPfff59zCImI\\\n",
       "ilpxLG1KRFScnjx5Ig4cOFD08PAQ5XK5WKlSJXHMmDFiRkaGKIr/v2y+sa0pRPHlNhPVqlUTZTKZ\\\n",
       "6OXlJY4aNUqMj4/XHQ8NDRWHDh0qVq5cWVQoFKKrq6vYpk0b8dChQ7o6hw8fFrt06SL6+vqK1tbW\\\n",
       "oq+vr9inTx/x/v37Ztue2/NUKpW4YMECsWbNmqJcLhddXFzEBg0aiLNmzRITExP16q5du1asV6+e\\\n",
       "rl6rVq3EgwcP6o5HRkaKnTp1Eh0cHEQAui0Csm87kWXbtm2667m6uor9+vUTnz17pldn0KBBop2d\\\n",
       "ncHzzZw5U8zNX02nT58WmzZtKtrY2Ii+vr7i5MmTxX/++cegPSkpKWLfvn1FZ2dnEYDZLShatWpl\\\n",
       "cgsJY9st5JVGoxHnzp0rli9fXrS2thZr1qwp/vbbbwb1srbkePTokV75ixcvxGHDholubm6ira2t\\\n",
       "2KpVK6O/R7O+h/l9jitXrogADLYtASBOnDhR7Nmzp2hjYyP6+PiIS5cuFVeuXCna2tqKH330kSiK\\\n",
       "pv/8ZLUr+5Ypxn4v3LlzRwSg92eGiIiKhiCKRTDOg4iIiEqtdu3awdfXFxs3btSVCYKAmTNn4quv\\\n",
       "viry+48fPx4nTpzA5cuX2UNIRFTEOIeQiIiI9MydOxfbtm3TbSXyOsXFxWH16tX45ptvGAaJiF4D\\\n",
       "ziEkIiIiPU2aNIFKpSqWe7u5uSElJaVY7k1EZInYQ0hERERERGSh2ENIREREOeKSA0REbyb2EBIR\\\n",
       "EREREVkoBkIiIiIiIiILxSGjRFQqabVaREREwMHBgSsREpEeURSRnJwMX19fSCR5/7fvuXPn4tKl\\\n",
       "S3k6p2HDhpg6dWqe70VEVNwYCImoVIqIiMDq1auLuxlEVELNmjULYWFhKFOmTJ7Omzt3Lr788ss8\\\n",
       "32/nzp0AwFBIRKUOAyERlUoODg4AwN5BIjIp6/8TeZHXnsH8nmvs/11ZC/ds27YNvXv3NjhetmxZ\\\n",
       "PH36NN/tIyIyhnMIiahUYhAkopwU9P8TgiDk6lPYNm7cqPu1QqHQ/TosLKzQ70VExEBIRERElE1u\\\n",
       "w2B+Q6EoirpPdnv37tUdS09PhyiKunt4eHgU+NmIiF7FIaNERERE2eQ16ImiiNOnT6Nbt266sqCg\\\n",
       "IEyYMKFQ2pMVHIOCggrlekREWRgIiYiIiLLJT89fdHS0bnEZ4OVCM4URCOfOnav79Y4dOwp8PSKi\\\n",
       "VzEQEhEREWWTn0Do6emJFi1a6L4ujN68bdu26VY9/eCDDwp8PSKi7BgIiYiIiLLJTyBs0aJFofbg\\\n",
       "vbraaOPGjdk7SERFgovKEBEREZUwr4bBwMBAnD9/vphbRERvKgZCIiIiomyKepXRIUOGwMrKClZW\\\n",
       "/z9Yy8rKCh4eHnphUCqVIjU1FZUrV0blypWxevXqQntGIiKAgZCIiIjIQFEHwvXr10Oj0UCj0ejK\\\n",
       "NBoNYmNjMXLkSL2y0NBQ3Wf48OGF8nxERFk4h5CIiIgom6LadD6Lsf0HiYiKAwMhERERUTZFHQiJ\\\n",
       "iEoKBkIiIiKibBgIichScA4hERERERGRhWIPIREREVE27CEkIkvBHkIiyrX58+dDEASMHz/ebL3t\\\n",
       "27ejWrVqUCgUCAwMxP79+/WOi6KIGTNmwMfHBzY2NggODkZISEgRtpyIKG+KepVRIqKSgoGQiHLl\\\n",
       "4sWL+Pnnn1G7dm2z9c6cOYM+ffpg2LBhuHr1Krp27YquXbvi5s2bujrffvstfvzxR6xcuRLnz5+H\\\n",
       "nZ0dOnToAKVSWdSPQUSUKwyERGQpGAiJKEcpKSno168ffvnlF7i4uJitu2TJErzzzjuYNGkSqlev\\\n",
       "jq+//hr169fH0qVLAbzsHVy8eDGmTZuGLl26oHbt2tiwYQMiIiKwa9eu1/A0REQ5YyAkIkvBQEhE\\\n",
       "ORozZgw6deqE4ODgHOuePXvWoF6HDh1w9uxZAMCjR48QGRmpV8fJyQlNmjTR1TEmIyMDSUlJeh8i\\\n",
       "oqLCQEhEloKBkIjM2rp1K65cuYJ58+blqn5kZCS8vLz0yry8vBAZGak7nlVmqo4x8+bNg5OTk+5T\\\n",
       "tmzZvDwGERERERnBQEhEJoWFhWHcuHHYtGkTFApFsbZlypQpSExM1H3CwsKKtT1E9GZjDyERWQpu\\\n",
       "O0FEJl2+fBnR0dGoX7++rkyj0eDEiRNYunQpMjIyIJVK9c7x9vZGVFSUXllUVBS8vb11x7PKfHx8\\\n",
       "9OrUrVvXZFvkcjnkcnlBH4mIKFcY9IjIUrCHkIhMateuHW7cuIFr167pPg0bNkS/fv1w7do1gzAI\\\n",
       "AM2aNcPhw4f1yg4ePIhmzZoBACpWrAhvb2+9OklJSTh//ryuDhFRScDeQSKyBOwhJCKTHBwcUKtW\\\n",
       "Lb0yOzs7uLm56coHDhwIPz8/3RzDcePGoVWrVvj+++/RqVMnbN26FZcuXcKqVasAQLeP4TfffAN/\\\n",
       "f39UrFgR06dPh6+vL7p27fpan4+IyJS8hD2GQiIqzRgIiahAnj59Conk/wcbNG/eHJs3b8a0adMw\\\n",
       "depU+Pv7Y9euXXrBcvLkyUhNTcWIESOQkJCAli1b4sCBA8U+T5GIKAsDIRFZCgZCIsqTY8eOmf0a\\\n",
       "AHr27ImePXuavIYgCJg9ezZmz55dyK0jIiocDIREZCk4h5CIiIiIiMhCsYeQiIiIKBv2EBKRpWAg\\\n",
       "JKI3npUV/1dH9CZRq9VFfg8GQiKyFHxLIqI3mpWVFb788svibgYRFaI5c+YUeShkICQiS8FASERE\\\n",
       "RJQNAyERWQoGQiIiIqJsGAiJyFJwlVEiIiIiIiILxR5CIiIiomzYQ0hEloKBkIiIiCgbBkIishQM\\\n",
       "hERERETZMBASkaVgICQiIiLKhoGQiCwFAyERERFRNgyERGQpuMooERERERGRhWIPIREREVE27CEk\\\n",
       "IkvBQEhERESUDQMhEVkKBkIiIiKibBgIichSMBASERERZcNASESWgoGQiIiIyAgGPSKyBFxllIiI\\\n",
       "iIiIyEKxh5CIiIgoGw4ZJSJLwUBIRERElA0DIRFZCgZCIiIiomwYCInIUjAQEhEREWXDQEhEloKB\\\n",
       "kIiIiCgbBkIishQMhERERETZMBASkaXgthNEREREREQWij2ERERERNmwh5CILAUDIREREVE2DIRE\\\n",
       "ZCk4ZJSIiIgom6xAmNtPYVz/VXFxcQbHbW1tC+vxiIh0GAiJiIiIsinqQJgTd3d33a+lUikAID09\\\n",
       "HXPnzi30exGRZWMgJCIiIsqmqAOhKIq6T3ZxcXF69dRqNTp16gQA+PLLL/P/UERERjAQEhEREZUg\\\n",
       "FStWBPD/PYMAsHfv3uJqDhG94bioDBEREVE2+VlU5vTp0+jWrZuuPCgoCBMmTMjzvZOTkwEAZcuW\\\n",
       "zfO5RER5xUBIRERElE1+AmF0dDR27typK9+5c2e+AiER0evEQEhERESUTX4CoaenJ1q0aKErDwoK\\\n",
       "yte9HRwckJycjLCwsHydT0SUFwyERERERNnkJxC2aNECO3bsKPC9Hz16BHd3d2g0Gl3Zq0NRiYgK\\\n",
       "EwMhERERUTZFvTH9kCFDsHHjRr0yKysruLi4ICYmRu/aVlZWUKvVAIA5c+bk+V5EROZwlVEiIiKi\\\n",
       "12z9+vXQaDR6vYAajQaxsbEAoPsvAF0YtLGxwdSpU19vQ4nojcceQiIiIqJsirqH0Nj+g69yc3PL\\\n",
       "sQ4RUWFgICQiIiIyIj9Bj4iotGEgJCIiIsqmqHsIiYhKCgZCIiIiomwYCInIUjAQEhEREWXDQEhE\\\n",
       "loKBkIiIiCgbBkIishTcdoKIiIiIiMhCsYeQiIiIKBv2EBKRpWAgJCIiIsqGgZCILAUDIREREVE2\\\n",
       "DIREZCkYCImIiIiyYSAkIkvBQEhERESUDQMhEVkKrjJKRERERERkoRgIiYhKsKxeilc/VatWLe5m\\\n",
       "vVYRERFwcnIy+r3I6ePg4GD22qIoolu3bpBIJPm6fkE/Tk5OWLx4MdatWwc/P7/Xck/KHX5fichS\\\n",
       "cMgoEVEp0759++JuwmsVGRmJ1NTUfJ3r6+tr9rhWq8X169chimK+rl9QycnJ+Oabb2Bvb4/o6Ohi\\\n",
       "aQMZxyGjRGQpGAiJiEoRuVyOb775prib8VqFhIRAo9Hk69yFCxeaPR4fH4+nT5/m69qFQRRFxMXF\\\n",
       "IS4urtjaQMYxEBKRpWAgJCIqwd577z0kJCTgxYsXqFKlClauXAknJ6fibtZrZW7Yp0QigY2NDVQq\\\n",
       "FTQaDbRare6Yl5cX3nvvPbPXHjZsGNRqdb7aJQhCsfUsUtFjICQiS8E5hERk0rx589CoUSM4ODjA\\\n",
       "09MTXbt2xb1793I8b/v27ahWrRoUCgUCAwOxf/9+veOiKGLGjBnw8fGBjY0NgoODERISUlSPUart\\\n",
       "2bMHJ0+exK1bt7B79274+PgUd5Neu6CgIEgkhn9dubm5ISYmBsnJycjIyIBKpcKDBw8wf/587Nq1\\\n",
       "C8+ePTN6XpZr165hz549eW6PRCLB1KlT8eDBAyxbtgwymSzP16CSj3MIichSMBASkUnHjx/HmDFj\\\n",
       "cO7cORw8eBCZmZlo37692flcZ86cQZ8+fTBs2DBcvXoVXbt2RdeuXXHz5k1dnW+//RY//vgjVq5c\\\n",
       "ifPnz8POzg4dOnSAUql8HY9FpYyDgwO+/vprvZfuqlWrIioqCq6urroXcqlUisqVK+Pzzz9Hly5d\\\n",
       "YGVlehDMpUuX0KBBg3z18O3fvx9z5sxBpUqVMHr0aCQnJ8PFxSVfz1YUFAoFJkyYgE8//RQKhaK4\\\n",
       "m0NERCUcAyERmXTgwAEMHjwYNWvWRJ06dbB+/Xo8ffoUly9fNnnOkiVL8M4772DSpEmoXr06vv76\\\n",
       "a9SvXx9Lly4F8LJ3cPHixZg2bRq6dOmC2rVrY8OGDYiIiMCuXbte05PR66RUKhETE5PveYAAMHXq\\\n",
       "VERHR2PHjh148uQJ7t69C6lUmqdriKKIhIQENGnSBI0aNdIbXppb5cqVQ4cOHfTK5HI5wsLCzAbQ\\\n",
       "16Vt27ZITU3FokWL8N133yE6OhrW1tbF3axSiT2ERGQpGAiJKNcSExMBAK6uribrnD17FsHBwXpl\\\n",
       "HTp0wNmzZwEAjx49QmRkpF4dJycnNGnSRFfHmIyMDCQlJel9qOQbPnw47Ozs4OnpCTc3N6Snp+f7\\\n",
       "Wu7u7vjggw9Qrly5PJ2n1WqxceNGODk5wcXFBRcuXMh3G/7880+j5XZ2dvjss8/yfd3CMH78eBw+\\\n",
       "fFhvmKyDgwM2b95cjK0qvRgIichSMBASUa5otVqMHz8eLVq0QK1atUzWi4yMhJeXl16Zl5cXIiMj\\\n",
       "dcezykzVMWbevHlwcnLSfcqWLZvfR3kjFXRxE61WC5VKVaiLpEyYMAGrV6/W9cQlJiZiwIABhXb9\\\n",
       "3FqwYAEGDhyI5OTkAl1HIpGgbt26Jo9Pnz69WIKBIAhYvXo1fvjhB6PHu3btavDnjXLGQEhEloKB\\\n",
       "kIhyZcyYMbh58ya2bt1aLPefMmUKEhMTdZ+wsLBiaUdJpFQqER0djYyMjDyfK4oiTp48iTJlysDN\\\n",
       "zQ2jR4/O11DK7FJTU7FkyRKD8lOnTpk9Lzk5GSEhIfle+dOYDRs2FMp1GjZsaHZYqK2tbZ57L3NL\\\n",
       "JpPB2dkZ7u7ucHR0hI2NDezt7dGmTRvExcVh2LBhJs+VSqU4ceIE7OzsiqRtbzKGQSKyBAyERJSj\\\n",
       "jz/+GHv37sXRo0dRpkwZs3W9vb0RFRWlVxYVFQVvb2/d8awyU3WMkcvlcHR01PvQS4IgIC0tDWlp\\\n",
       "aXnq4VOr1VizZg3atWuH58+fIyUlBb/88gseP35c4DaNGzfOaFv8/PxMnrNz5044OzsjICAAZcuW\\\n",
       "zXHOYWxsLH755RdERESYrTdq1KjcNdoEQRDg5eWFo0eP5lh33759hRYQBEFAhw4dEBsbC6VSifj4\\\n",
       "eMTExCAxMRGpqalITk7GkSNHcrWgTUBAAM6fP4+OHTsWStssAXsIichSMBASkUmiKOLjjz/Gzp07\\\n",
       "ceTIEVSsWDHHc5o1a4bDhw/rlR08eBDNmjUDAFSsWBHe3t56dZKSknD+/HldHcobuVyOcuXKwcnJ\\\n",
       "KdcvphqNBpGRkdiwYYNB8MrMzMzx/NTUVKSkpBgNfaIo4o8//jB63ooVK0y258MPP9T1TkZGRpqd\\\n",
       "UxoWFgZfX1+MGDEClStXRkJCgsm6H3/8MUaNGgUnJye4ubmha9eu2Lp1Kw4ePIgffvgBbdq0ga+v\\\n",
       "L7y8vFCvXj3Mnz8fN2/eRFRUFMLDw/HixQtERETA1tbWzHfkpZo1a2Lz5s2wsbHJc0gQBAESiQR2\\\n",
       "dnbo1q0bEhMTceDAAbi5uRlsn5GfAFKzZk3s2LEjz+cREdGbrfiXRCOiEmvMmDHYvHkzdu/eDQcH\\\n",
       "B90cPycnJ9jY2AAABg4cCD8/P8ybNw/Ay56hVq1a4fvvv0enTp2wdetWXLp0CatWrQLw8kV2/Pjx\\\n",
       "+Oabb+Dv74+KFSti+vTp8PX1RdeuXYvlOd8EeV1xUyKRwNPTEz/++CPGjRuHK1euAAAGDx4Mf39/\\\n",
       "s+fu3bsX/fr1Q0ZGBgIDA7Fz5074+fnpQkpUVJTRxWMUCgUaNmxo9JqJiYkGw0Rv3bqFli1bGtTV\\\n",
       "arWoWbOmLrgqlUoMHToUmzdvNrrNgkQiwfLly7F06VKDYBUcHIzx48ebfd686t27N3r06IGYmBgc\\\n",
       "OnQIc+bMQUhIiNGhuDY2NujZsyemTp2KMmXKwNraGlKp1Oz+iQUhl8uL5LpvIm5MT0SWgoGQiEzK\\\n",
       "6s1p3bq1Xvm6deswePBgAMDTp0/1Xl6bN2+OzZs3Y9q0aZg6dSr8/f2xa9cuvYVoJk+ejNTUVIwY\\\n",
       "MQIJCQlo2bIlDhw4wD3TXiNBEGBtbY26devi2LFj0Gq1EEUxx60T0tPT8eGHH+oC36VLl1CuXDmU\\\n",
       "K1cOX3zxBWrUqIHDhw9DJpNBpVLpnduuXTuTQUcul0MQBL0ex+y/77IcOXLEYIGYvXv3YuXKlWbD\\\n",
       "XVGFLGOsrKzg4+ODAQMGoHfv3liwYAHmzp2r22tTLpdj0qRJmD59Oje2L6EYCInIUjAQEpFJuZmP\\\n",
       "duzYMYOynj17omfPnibPEQQBs2fPxuzZswvSPCokWZu658aePXsMev9EUcSTJ08watQoyGQyuLq6\\\n",
       "QiaTQSKR6PWKRUVFQavVGg1mdnZ2qFu3Lq5evQoAqFKlismeyqx/jHhVZmYmPv/8c4waNarE9YLJ\\\n",
       "ZDJ88cUXCAgIwNy5cyGRSLBgwQIEBwcX26qkpd2kSZNyNYS3IBgIichSMBASEVGuTZkyxezxzMxM\\\n",
       "REdHQyaTGbwkX758GT169MDvv/9utCfy4sWL+Pfff6FSqdCpUyejwVEURcTExBi9t0qlgre3N06d\\\n",
       "OgV/f39IpVLdvLziZmVlhe7du6NFixbQaDR6Q2ypZGIgJCJLUfx/SxIRUakQExODR48e5VhPFEWo\\\n",
       "VCqDxWpEUcTOnTthZ2eH8PBwg/OkUineffdddOnSxeTQVUEQYG9vb/LeCQkJqFWrFhQKBRQKBXx9\\\n",
       "fXHp0qUc2/w6SKVS+Pn5oWzZsrnqkQ0LC8OYMWPw888/52qhn9wozH0m33RcZZSILAV7CImIKEda\\\n",
       "rRYNGjQolEChUqlQrVo1JCYm5qv37tixY6hbt67Z/RJFUYRarUZUVBTeffddREVFlYieQiB3vUlx\\\n",
       "cXGoUqWKbh7m3LlzERoamufFg7JLS0sr0PmWhD2ERGQpSsbfjkREVKKNGzcOYWFhhXa99PT0HPcZ\\\n",
       "NCUwMBAJCQno1KlTjovgAC9XMC1IkNVoNLh79y6uXbtWaD11OZkwYYLeojxPnz7FjBkzCnxdBhci\\\n",
       "IsqOgZCIiMyKi4vD8uXLC/WalSpVKtDqmg4ODti7dy8yMjJw4MABs9eyt7fPd+9gWloa/Pz8UL16\\\n",
       "ddSrVw/u7u4GK5wWBWN7MH777bdITU01KFcqldiwYQN+/vnnHHsAi3ohljcJh4wSkaVgICQiIrP+\\\n",
       "+ecfs8MzjTH3klyxYkXcvn27MJoGiUSCDh06IDk5GTt37jQa/BYtWpTvF/bJkycjKipK93VSUhLq\\\n",
       "1KljtsdRo9EYbLmRV3Xq1DEoU6vVqFatGpKTk3VDYn/55Rc4OTlh0KBBGDlyJGrXrm2wnyPlDwMh\\\n",
       "EVkKBkIiIjIrMDAwT/UrVqyIf/75B/fu3cOOHTvQs2dPNGnSBGPGjEF4eDhCQ0NzNdQzL+RyObp2\\\n",
       "7YqIiAh4eXnpVhft2LEjBg4cmO/rGluQ5tGjR7h586bR+gcPHoSrqyscHR0xZMgQs8FRFEWTx1eu\\\n",
       "XGk0ZDx79gwuLi5wdXWFra0tRowYoRc+Hz16hMjIyJwei3KBgZCILAUDIRERmVWrVi20b98+x3oS\\\n",
       "iQRz5szBgwcP8Pbbb8Pf3x8ffPABfv/9d5w7dw5Lly6Fr69vkbbVy8sLz58/R2JiIhISErB3794C\\\n",
       "LSbTrVs3o+XNmzfXG56p0WjQt29ftG/fHklJScjIyMD69euxbt06o+cnJCSgfv36cHNzw4ABAwzm\\\n",
       "Jrq7u5ucM6jRaJCQkGB0PqNEIoFCocjt45EZDIREZCkYCImIyCxBEPDPP/8gJCQEb7/9Nuzs7PRC\\\n",
       "lkQigb+/P549e4apU6cW+2qegiDAwcEBDg4OBX5R//jjj43OT0xJSYGnpydmzZqFr7/+Gq6urtiy\\\n",
       "ZYtBvbFjxxr0Amq1WlSsWBHXrl1DfHw8fvvtN9SvX9+g3ldffYXu3bvnuq2CIGDo0KFwc3PL9Tlk\\\n",
       "GgMhEVkKbjtBRGSB1Go10tPTYW9vn+uX2SpVquDff/+FKIpIT0/HgwcPEBcXhxo1asDT0/ONfCm2\\\n",
       "tbXFmjVrMHjwYIN5lKmpqfjqq6/Mnp+eno6MjAy9XruoqCgkJCTo1bt9+zZUKhXkcrle+fbt21G3\\\n",
       "bl38999/Zu/j6OiI3bt3o1WrVjn+HN6EvQjnzJnDuZJERIWEPYRERBYoJiYGZ8+ezddLtSAIsLW1\\\n",
       "Re3atdGmTRvdnL03VZ8+ffD9998XaKXSVxlbcEYqlRqdVykIAi5dugQbGxuj15bJZPj9998RHx+P\\\n",
       "1q1bv9E/h9eNPYREZCkYCImILJCrqyvq169f6Iu75IZarUZiYiLS09NLZG+VRqNBUlISUlJSoNVq\\\n",
       "IZVKMXr0aPTs2TPP15LL5QZBskyZMrC3t9crmz59uslN52UyGf777z+Dn1WdOnWQmJiInj17Fvsw\\\n",
       "3TcRAyERWQr+DUJEZIHkcjnc3d1f64usKIro1asX5HI5nJ2dYWdnB2dnZ8yfPx+JiYnQaDTQarXQ\\\n",
       "aDTQaDTFEhb37NkDBwcHODs7w9nZGZs3b4ZGo4GVlRUmT56c6++XRCKBra0tunfvbrDIi1QqxbNn\\\n",
       "zxAcHIxq1arhn3/+wfTp081er0qVKrh79y6Cg4PRrl07/Pfff7h69arJnkMqOAZCIrIUnENIRESv\\\n",
       "xQcffIDdu3frvhZFEUlJSZgyZQqmT58OV1dX2NvbIy0tDSqVCjY2NggKCsKMGTPg7+9v0EMmimKu\\\n",
       "XsRv376N9evX44MPPkDTpk1NnhMaGoouXbrogqhGo8GwYcPQqFEjVK5cWbeYjkajMXmvOnXqYOPG\\\n",
       "jShTpgxEUYREIjHaC+vk5ISDBw/m2PZXVa5cOc/nUP7lJegxEBJRacYeQiIiyjNRFBESEoKrV6/m\\\n",
       "atP6x48f64XB7NRqNaKjoxEaGorIyEi8ePEC4eHh2Lp1K2rUqKHrVaxatSoqV64MZ2dn2Nvbo1y5\\\n",
       "cjh16pTJ627fvh2BgYFYuHAhmjdvjnr16pkMdG3btjXolVSpVLhy5UqunvGzzz7D1atXERgYqNsr\\\n",
       "0MnJCRKJpEQOjSXz2ENIRJaCgZCIiPJEqVSiYcOGqFq1Kho2bIhZs2aZra9Wq1GjRo0C3VOr1SIx\\\n",
       "MRH3799HaGgoEhMTkZaWhrCwMAQFBWHo0KFISkrSOycpKQl9+vTRC3PXr19HpUqVDAJefHw8wsLC\\\n",
       "DO5rbW2Ntm3bQiaTwcvLy+ScSy8vL3z77bcGwSDr6/T0dK6KSUREJRIDIRERGaXRaKBSqaBWq6HR\\\n",
       "aKBUKnHgwAF4eHjgypUrEEURWq0WP/30k8keMI1Gg7JlyyI9Pb1I27pu3TpUrFhRt4KnVqtF27Zt\\\n",
       "jfYGPn36FNWrV9fV1Wg0GDt2rNFewFOnTulWUXV0dIS3t7dBHUEQcPXqVZO9RKIo4u+//8aHH36I\\\n",
       "mTNnIiIigj2GpQB7CInIUjAQEhGRnrS0NMybNw/NmzdH8+bN0alTJwQHB6NMmTLo2LEjUlJS9Opr\\\n",
       "tVqjL8SiKKJixYqIjIx8Le1+8eIFpk2bhujoaCxbtgxXrlwxWff+/ftwd3fH+PHjMXDgQOzYsUPv\\\n",
       "uLOzM06fPo1GjRrpyiQSCRYsWGBwrcmTJ8PHx8ds2+bNm4ddu3Zh9uzZKFOmDCpWrIioqCijddVq\\\n",
       "NR4/fmywV2FhyL4FBplXVGHw7NmzRq8TFxdXBE9BRGQeF5UhIrIAGo0GaWlpkEqlkMvlRrc4yMzM\\\n",
       "xOTJk7Fs2TJkZmbqyrNeeE31alWvXt1o+aFDh4wOwyxKq1evxtmzZ3Hx4sUce+GSk5OxZMkS3fNJ\\\n",
       "JBK4ubnhr7/+QpMmTYy+6Pfs2RNr167FkSNHIJVKMWfOHEycONHsfSQSCZ48eaJrjyiKePLkCcqV\\\n",
       "K4dr167pff/UajX++usvrF69Gr1790b//v0LZUsJrVaLLl26YP/+/WYXxaH/V5SLyjRv3lz3a2dn\\\n",
       "Z134d3d3Z+8xEb12DIRERG+4+Ph4DB8+HIcPH0ZGRgZkMhkaN26Mrl27onr16nj+/DmWLVuGCxcu\\\n",
       "GA0LOb2g9uvXz2j5X3/9VSjtz4uUlBScO3cuT/P1sp7PxsYGFy5cQIUKFUzWlUgkOHDggO77aGrv\\\n",
       "wFcJggAHBwfExsbqlatUKnTq1Ak3b96Era0tRFFERkYG4uLi4Ovri/r16xfa/oIjR47E3r17C+Va\\\n",
       "luJ1rDL66p8tDjslouLCQEhE9AbLzMzEJ598gt27d+tCUnp6Og4dOoRDhw4Vyj2qVq1qtHzcuHFY\\\n",
       "tmxZvno8JBIJAgICIJFIcPfu3RxX+RQEQbeaZ34Xb/H29kb58uVzrCcIgsHegjmZPn06hg4dalAe\\\n",
       "GxuLjIwM2NraQhAE2NjYoG/fvujdu7fB5vXGZH1vzYUJtVqNNWvW5Km9lL9AePr0aXTr1k1XHhQU\\\n",
       "hAkTJpg8z9bWFmlpaSYXKyIieh04h5CIqAQ7efIk7t+/r1sAJa+ioqJw7NixfA8TFAQBcrncbJ3w\\\n",
       "8HCj5VWqVMGmTZugUCggkUggk8ng6+uLRo0awcfHx2Tvl7+/P1JSUnDnzh3cunULYWFhZnviHB0d\\\n",
       "UadOHVSqVCn3D2ZEu3btiqyXZuDAgUY3ka9evTocHR11X0skEtjZ2cHBwSHHtiiVSkyZMgX/+9//\\\n",
       "EB8fb7Le06dPc7VtBunLz6Iy0dHR2Llzp+5jajjxvXv3ALz8xxlBEHR/PjlclIiKAwMhEVEJ1qpV\\\n",
       "K1SvXh3lypXD/fv383y+TCaDm5tbroY2ZicIAr788kv8999/6Ny5s8l6e/bsMXmsT58+SE1NhVKp\\\n",
       "hFKpRHh4OC5cuICIiAgkJCSgR48ekMlkkEgksLGxwYYNG3D//n298OTr64tFixYZvX7Hjh3x4MED\\\n",
       "/Pvvv1i1apXZnhZBEGBlZWU0aEkkEsyZM8fkuQUllUrx5MkTvXBta2uLPXv25OtnAwALFy7Ed999\\\n",
       "h9WrV6Nu3brIyMgwWi80NDRf16e88/T0xAcffKD7mPp9+2qv+qu/ZzlslIiKA8coEBGVYKIoQhRF\\\n",
       "REVFoXfv3rh06VKe5pV5eXnh9OnT2Lx5M+bPn4+wsDC9BWNMkUqliImJgYuLCwBg9+7d2LBhAwYN\\\n",
       "GmRQ9/Dhw2avJZFIjLbZwcEB27dvz9VzfPLJJzh8+LBuXqKNjQ0iIiLg7Oysq9O6dWvMmDEDU6dO\\\n",
       "NTi/ZcuWOHz4MKytrQG87F07fvw4jhw5grfffhtt27Y1+X1Vq9Xo0aMH/vnnH0ilUowYMQLffvtt\\\n",
       "nof5eXh4QKlUQqPRQBTFAg8T3Lhxo65n6enTp6hSpQqePn1qECrq1atXoPtYqvwMGW3RooXBirXm\\\n",
       "cA4hEZUE7CEkIioFrKysMHDgwHwtMmJnZ4chQ4Zgx44dGDNmDN5++200bdoUlStXho2NjcGLqLW1\\\n",
       "NW7fvq0Lg1kGDBgAJycng+srlco8tyk/du3ahZMnT+LPP/9EYmKiXhjMMmnSJDRo0ED3TIIgoF69\\\n",
       "enphEAAUCgU6dOiABQsWIDg42Oz3dcOGDfjrr7+gVCqRmpqKH374AZUqVcr3MF6pVFooc8batGmj\\\n",
       "93V4eDju3LljUM/V1RVeXl4Fvp+l4T6ERGQpGAiJiEowDw8PBAQEYPny5fj444/zfR0rKyuUK1cO\\\n",
       "H3zwAb777jucPHkSDx48QGpqKlQqFaKionDixAlcu3YNKSkpCAgIMLiGIAi4ceOG0eu/jrlPgiCg\\\n",
       "ZcuW6NatG2QymdE6VlZWuHDhAm7evIn169fj1q1buHTpkl4YzAtRFLFu3TqD5wsLC0P37t3zdc3C\\\n",
       "Mm/ePL3hpqIool+/fgZtFQQBT548Qe3atQtt1VJL8DoCoSAIcHFxYaAkomLFvxmIiEqwx48f4+bN\\\n",
       "mxg+fHiBepU0Gg327duHOXPm4MyZM7prZc2r8/T0RFBQEOrUqWMybAFA2bJlMWDAAL0yd3f3EvVC\\\n",
       "K5FIUKNGDQwaNAjVq1cvUAgSBMFoTyQA/Pvvv7kafltUXF1d0b9/f72yGzduICIiwqCuXC7H9evX\\\n",
       "892raYmKMhD27t1b9+usPQgB4Jdffims5hMR5RoDIRFRCWZra2s2oOXWwYMHMXToUPz7778YO3Zs\\\n",
       "gTYnX7duHdzd3QG8fGn++eefC9y+kuyzzz4zGiq1Wm2xb/L+888/w8HBQfe1RqPBu+++a3JV0fwu\\\n",
       "YGOJijIQbtmyRTc/+NXPRx99VERPQ0RkGgMhEZEF+O6773S9WWq12mCT9LyQSqUYPHgwrK2t4erq\\\n",
       "iqCgoMJqZokUGBhodE9AKyurYg9Y1tbWqFmzpl5ZSEgIEhMTi6lFRERU2jAQEhGVclqt1uwcPpVK\\\n",
       "hePHj+uVNWvWrED3/PzzzzFnzhxcvHhRbx+9N5Grqyt2794NW1tbXZkgCHj77beLfUNxQRDwww8/\\\n",
       "6PVgKpVK1KlTh3sPFhAXlSEiS8FASERUSj148AD+/v5wcnJCpUqVcPDgQZPBMHs4ePz4cb7nv2m1\\\n",
       "WoSHh6NJkyYoV65cvq5RmF7HgjatW7fGtWvX8NZbb8Hd3R1NmjTBmjVrSkQQqFKlikFPZVhYmMk9\\\n",
       "8Ch3GAiJyFIwEBIRlUI3b95E1apV8eDBA6SkpODx48d45513jO6BJpPJ9OaZZVGr1Xm+77Nnz1C3\\\n",
       "bl20bNkSs2fPfi1hzBitVouMjAyEh4fjypUriIyMzNf2F1FRUThw4ACePXuW47P4+/vjyJEjCAkJ\\\n",
       "waFDh3TzKF8XrVZrstfPWCCZOnVqsc9xLM0YCInIUnBjeiKiUkYURQQHBxuEA61Wi/Hjx6Nbt256\\\n",
       "L6iCIODUqVOoXbu2LvTY2tpCoVDk6b6DBg3Chg0bdF8fPnwYYWFhqFixYgGeJmdpaWnYuXMn/v77\\\n",
       "bwiCgKpVq6J69eq65fptbGzytZLo1atX0bFjR8TFxcHBwQE7d+7EW2+9ZfYcqVRqctXRoiSKItLT\\\n",
       "05GSkgI7OzvY2tpCIpFAFEU8evTIaPDLzMzExYsX0bRp09fe3jdBfjamJyIqjRgIiYhKGbVajZSU\\\n",
       "FKPHTPUI1apVCydOnMA777wDlUqFu3fv5ukldv/+/XphEHgZUqZNm4ZNmzblvvF5lJqailatWuHa\\\n",
       "tWvQarUQBAH29vYYNGgQPvvsM3h7e0Mmk+X5hTwhIQHt27fXLa7z4sULDB06FHfv3s3XvMDk5GSs\\\n",
       "W7cOW7duhb29PcaMGYP27dtDoVAUWlhIT0/HiRMnEB4ejtq1a6Nq1apITU3FpEmTTP7cJ0yYgLNn\\\n",
       "zxbK/S0NAyERWQoGQiKiUkYikaBXr14GG6ZLJBL89NNPJl9OW7ZsieTkZIiimOcetYkTJxotP3Pm\\\n",
       "TJ6uk1exsbEIDQ3VCzzu7u747LPP8j1/URRFdO/e3WCl1WfPniEtLS3Pi+TExsaiZs2aiI6O1pUd\\\n",
       "PHgQFSpUwB9//IFatWpBKpVCo9EgJSUFSqUSLi4usLGxyVOQiIuLw88//4zLly9DrVZDoVAgMzMT\\\n",
       "ycnJJs+5du0aMjMzC2XrEiIiejNxDiERUQmWtT/Zq6RSKVatWoW7d+9i6NChqFq1Kpo1a4Zz586h\\\n",
       "e/fuZq8nCEK+hldaW1sbLXd1dc3ztfLCz88PkydPhouLC2xtbdGwYUOcPHnSbBhUq9W4ffs2njx5\\\n",
       "YnReYFJSksGqq8DLIZb5WWjn6tWriImJMSh//PgxunXrhp07d+Ly5cv49ddf0atXL7Rq1QqdO3fG\\\n",
       "uXPncn0/pVKJ1atX4+TJk0hISEBKSgpiY2ORmJhodjXRjIwMnDp1Ks/PRJxDSESWgz2EREQlmLe3\\\n",
       "NxwcHNC1a1fMmDFD13sllUoREBCANWvWvJZ2rFq1yuhWFT/99FOR3tfKygqff/45xo0bB7VaDTs7\\\n",
       "uxwD7ciRI3W9p61atcKRI0f0XthNzbkDkK+etDJlypg89uzZM4wbNw4KhQLR0dHIyMiAKIoIDQ3F\\\n",
       "+fPn8f777+Pdd99FUlIS7t69C41Gg2bNmqF169bw8PCAVCpFeno6Vq9ejaVLl0KlUuWpbaIoYsSI\\\n",
       "Ebh8+bLu986bEF4mTZqktw1IUeCQUSKyFAyEREQlWHR0NKKjo7F48WLUq1cP/fr1K5Z2NG3aFEOG\\\n",
       "DMH69et1vW7vvvtugfczzI2shWNyIykpCevWrdP1mh07dgwXLlxAkyZNdHXMrbyZ14V2gJerj8rl\\\n",
       "cqOrnGq1Wr2hpFlEUURKSgq2bduG33//XW8vyRUrVkAikcDd3R0NGzZEQkICLl26lOcwmOXhw4fo\\\n",
       "3bs31q5dCw8Pj3xdwxIxEBKRpWAgJCrlHj16hJMnT+LJkydIS0uDh4cH6tWrh2bNmuXr5ZZKJq1W\\\n",
       "m+tQVFTWrl2L7777TrflhZeXV7G2x5jTp08bDKH89NNP9YZNmhrmqlAo8tVDaGVlhZkzZ2LKlCl5\\\n",
       "PtfUcM+sIHngwAGz9XJDFEUcOHAAzZo1w/Tp0/N9HUvEoEdEloCBkKiU2rRpE5YsWYJLly7By8sL\\\n",
       "vr6+sLGxwYsXL/Dw4UMoFAr069cPn3/+OcqXL1/czaUCkEqlGDZsGD744IPibgpcXV1z3JqhOBnr\\\n",
       "RXv69Gmuzt26dWu+A8Dnn3+OZcuW4dmzZ/k635SCBMFXiaKIx48fY9iwYYVyPUvAHkIishQMhESl\\\n",
       "UL169WBtbY3Bgwfjzz//RNmyZfWOZ2Rk4OzZs9i6dSsaNmyI5cuXo2fPnsXUWiqIDRs2oHHjxggI\\\n",
       "CCiUl06VSoU1a9YgLi4OI0eOfO2bqxe1WrVqGZRl7/Uztg2DIAh455138n1fQRBQuXLlQg+ERERE\\\n",
       "RY2BkKgUmj9/Pjp06GDyuFwuR+vWrdG6dWvMmTMHjx8/fn2No0I1YMCAXNcVRdFsaExISICvry/S\\\n",
       "09MBAF999RUGDx6MpUuXvjHDi40FXJVKpfveiKKIr7/+2qCOg4OD0eGi+/btw9GjR/Hxxx+jQoUK\\\n",
       "Ju+rUqlw+fLlArXdmKw2mzsOwGwdyh/2EBKRpeC2E0SlkLkwmJ2bmxsaNGhQhK2hksLYFhWvWrFi\\\n",
       "hS4MAi8XV9myZQuOHj1qdqGV0sTYCqTp6em6oZdqtRphYWEGdZycnAzKtFothg0bhqVLl6Jv375G\\\n",
       "F43JcvnyZaSlpRWg5cbltKKqu7s7KlSowEBSBLjtBBFZCgZCojdEdHQ0bt68if/++0/vQ5bD3Itp\\\n",
       "ZmYmZs2aZVCelpaGvn374vTp08UaCtVqdaHcPyMjw6AsKSkJYWFhyMzMxI4dO5CammpQx9g/mixe\\\n",
       "vBhRUVG6Idi+vr6Ij4/Xq6PVarFgwQK0bNmy0Ob7ZfH09ETTpk0hl8uNHh8zZgwiIiIQEhKCpUuX\\\n",
       "Fuq9iYGQiCwHAyFRKXf58mXUqlULPj4+qF27NurWrYt69erp/kuWw9xLaXJyssnApVar8eDBAyiV\\\n",
       "ymIZenj9+nXUrFkTDRo0wMOHD43WSU1NxaJFizBs2DAcOXIEarXaaD1jm7Cr1WosW7YMly9fxowZ\\\n",
       "M4yel33+oFarxZdffqlXFh8fDw8PD7z33ntYs2YN+vfvDzs7O3zxxRf5CoPmfl7NmzfHjRs3sH//\\\n",
       "fowbN86gbsOGDfHTTz/BysoKUqkUo0aNQkBAQJ7bQKYxEBKRpeAcQqJSbujQoboNyr28vPhiQkbZ\\\n",
       "2dmhWrVquHXrli70CYIAJycnzJkzBz169CiWeYTJyclo2rSpbjhm9erV8ddff6FDhw66+XOnTp1C\\\n",
       "cHCwbgXRtWvXwsbGBmvWrMGHH34IqVQKURSRmZmJcePGGdxDFEXcvHkTNWvWREpKitF2tGrVSu/r\\\n",
       "1NRUo72NGo0G+/btw759+/L9zAqFAn/88QcaN26Mu3fvYsSIEQgJCYFWq4VCocDixYvx0Ucf6YaL\\\n",
       "zpkzB+Hh4di6dSu0Wi0qVqyIM2fO6P1ZFwQBly9fhru7u67dEokEFSpUQLdu3SCKIg4fPoyHDx8i\\\n",
       "OTk53223JJxDSESWgoGQqJQLDQ3Fn3/+iSpVqhR3U6gEk8vlOHLkCHbs2IH//vsPzZs3R5s2beDp\\\n",
       "6QkrK/2/Cl4NjOaIooioqCgcO3YMoiiiadOmKFu2rMH1zOnVq5fe3LzMzEx07twZY8eORadOnbBq\\\n",
       "1Sps377doAcuPT0dffv2xeeff45PPvkEkZGROHz4sNEtJqRSKXr16oX27dvjzp07+O677/SuJ5PJ\\\n",
       "DFbqzWnuXkHs378fbdq0AQB4eHjgzp07yMzMhEqlgkKhgFQq1atvZWWFjRs3Yvbs2UhMTERgYKDR\\\n",
       "77G9vT0ePHiA4cOHw87ODt9//z3KlSun93PMaeGh0mLOnDkme4kLCwMhEVkKBkKiUq5du3a4fv06\\\n",
       "AyHlyMPDAyNGjMjx5VWtViM+Ph6Ojo4mew3VajUaNmyI//77T2+YqY2NDbp27YqJEyeibNmyUCgU\\\n",
       "sLGxgUwmM7hvTEwM/v33X4NrZ2ZmYsmSJfjxxx9zfOkPCwvDpEmTzNZp2bIl+vfvDysrK3zzzTeI\\\n",
       "jIzEb7/9pguFNWvWNHhOW1tbODs7G8wZLCiJRIIWLVoYlMtkMqOrnGYRBAGVKlXK8fplypTB/v37\\\n",
       "Tf6MGVyIiCg7BkKiUm716tUYNGgQbt68iVq1ahm8VHbu3LmYWkYlUW4Cwd27dzFo0CDY2Nhg48aN\\\n",
       "BkFEFEUEBgbi7t27Buemp6djy5Yt2Lp1KyQSCURRhFQqhZ+fH5YvX4527dpBKpXixYsXqF27tsl5\\\n",
       "jYW1wI2dnR0OHDig61GTyWRYu3Ytypcvj+XLl0Mul2P+/PkGvXKCIOD06dOoUaNGobTj1evmpQc1\\\n",
       "v/eggmMPIRFZCgZColLu7NmzOH36NP7++2+DY4IgvDHbCVDBZfWImRsOmZ6ejsaNG+uGcVapUgUT\\\n",
       "JkzAwoULIZFIoNVq0bJlS6Nh8FWiKOp+72m1Wjx+/BgdO3YspCfJncqVK+P+/fsGzyuVSjF79mxM\\\n",
       "mjQJqampcHNzM3p+9erVcerUKXz44Yd4/vy52QV3mjRpgoMHD8LW1hYPHz5ErVq1kJmZaVBPoVAw\\\n",
       "PJQSDIREZCm4yihRKTd27Fj0798fz58/h1ar1fswDFIWtVqNv//+G7NmzTIb5g4ePKg3p08URSxZ\\\n",
       "sgS7d++GUqnEnTt3cOnSpdfR5AKxt7fH7du3zYZfOzs7uLm5GfQOvqpx48bYsWMHGjdubLSeIAiY\\\n",
       "M2cOzp49CwcHB0ilUgQEBODAgQNGr/f+++8zPJQSXGWUiCwFAyFRKRcXF4cJEybAy8uruJtCJdi+\\\n",
       "ffvQrVs3fP3116hdu7bRvfgAYNGiRQZlGo0GM2bMwKNHj3D16tUS/w8NUqkUDx48gLW1tdl6giDo\\\n",
       "hrUa6/3LWrnU29sbI0eORLVq1fSGe9rY2ODw4cOYOnWqQSBo06YNvL29Ddq1evXqAjwZvU4MhERk\\\n",
       "KThklKiU69atG44ePYrKlSsXd1OohNJoNBg8eLBu24bMzEw0a9YM//33n0HdBw8eGL2GWq2Gq6sr\\\n",
       "GjduDIVCgbS0tCJtc04UCgWcnJyQkJCgtz2EVCrFX3/9lat/IBFFESqVCkqlEiqVCmq1GkqlEjEx\\\n",
       "Mbhz5w7u3LmD1NRUuLq6QiaToVGjRrC2tkZaWhqCgoKwcOFCODs7G722IAh48OABypYti4SEBFhb\\\n",
       "W+PMmTOws7MrrG9Bnmi1Wjx69AiHDh3C//73v2JpQ2nDIaNEZCkYCIlKuYCAAEyZMgWnTp1CYGCg\\\n",
       "waIyn3zySTG1jEqKZ8+eITExUa/s5s2biImJgYeHh165qVU9J06cCE9PT7i7u6NTp07Yvn17kbU3\\\n",
       "J4IgoH379vjmm2+gUqmwc+dOnDlzBg4ODpg/fz6qV6+e4zVEUUR6ejpCQkLw22+/YceOHXj+/DlU\\\n",
       "KpVej6EgCJDJZPDw8EDt2rXRq1cvfPDBB6hcubLZoabAyyGpsbGxSEpKgp2dndlVRItSXFwcKlas\\\n",
       "qNt/kIGQiIhexUBIVMqtXr0a9vb2OH78OI4fP653TBAEBsJSrn379rC2toabmxvq1KmDdu3aISAg\\\n",
       "IE+Lk+zbt89gSKQoihg/fjw2bdqkV24sENra2mLw4MEQBAFSqRRz587NVyCUyWSQy+VIT08v8LDT\\\n",
       "SpUqISAgANbW1qhfv76uPDffE1EUoVQqERYWhqVLl2Lz5s1IT083WVelUiEiIgIqlQp9+vRBpUqV\\\n",
       "cgyDWSQSiclexNelUaNG3Iw+H9hDSESWgnMIiUq5R48emfyEhoYWyj2WLVuGChUqQKFQoEmTJrhw\\\n",
       "4YLZ+tu3b0e1atWgUCgQGBiI/fv36x0XRREzZsyAj48PbGxsEBwcjJCQkHy1Las3x9QnMTExz3OB\\\n",
       "StLn4MGD2LdvHzZs2IBPP/0UdevWhb29PSpVqoRffvkFd+7cwdWrV7F7926cPHnSaLDJ/g8FWf74\\\n",
       "4w+94ZYqlQpJSUkG9bZu3arXu1WuXLk8bdxuZWWF1q1b4+TJkzhx4gQaNmyYq3NMzQEURRH79u2D\\\n",
       "VqvN8zwurVaL9PR0JCQk4O7duzh8+LDJMJj9nlnDU3MbBksCrVaL8PDw4m5GqfQmzCG8f/9+iW0b\\\n",
       "EZUcDIREb6jnz5/j22+/LfB1tm3bhokTJ2LmzJm4cuUK6tSpgw4dOiA6Otpo/TNnzqBPnz4YNmwY\\\n",
       "rl69iq5du6Jr1664efOmrs63336LH3/8EStXrsT58+dhZ2eHDh066K1uSaZlbeMwYsQIBAYGonHj\\\n",
       "xujWrRvatGmDypUr4/Lly7otJlQqFa5du2b0OiqVCrVr10Z4eDiioqLQqlUrg60S7OzsDLaLsLKy\\\n",
       "ynH4o0QigUQigVQqhbOzM8aPH486deqgevXq6Nq1a44vqbVq1cLKlSvRsmVLo3UfPnyIc+fOmb3G\\\n",
       "q0RRRGpqKp49e4bnz58jKSkJkZGRiIuLy/U1BEFA5cqVS9ULtkQigZOTU3E3o1R6EwJhQEBAcTeB\\\n",
       "iEoBDhklKuWGDh1qtPzJkye4cOECJk+eXKDrL1q0CMOHD8eQIUMAACtXrsS+ffuwdu1afPHFFwb1\\\n",
       "lyxZgnfeeQeTJk0CAHz99dc4ePAgli5dipUrV0IURSxevBjTpk1Dly5dAAAbNmyAl5cXdu3ahd69\\\n",
       "exeovZYm+9DL58+fo2XLlpg5cyb69u2Lc+fO4cmTJybPv3//PsqWLQsARlfabNiwodFN2x0cHPR6\\\n",
       "F7NYWVnB1tYWmZmZyMjIgFarRUJCAjZv3oymTZtCoVAgMzMTgiCY3NdPIpFgxYoVaNy4Mfr164cP\\\n",
       "P/wQu3fv1quj1WrRu3dvPH36FHK53OTziaKImJgYbN68GefPn4ePjw/atm0LPz8/xMXFGX0GY6RS\\\n",
       "KRo3boymTZvmqn5J8ttvv6FDhw7F3YxS500aMmruzxsREQMhUSkXHx+v97VGo0FoaCju3LmD5cuX\\\n",
       "F+jaKpUKly9fxpQpU3RlEokEwcHBOHv2rNFzzp49i4kTJ+qVdejQAbt27QLwcohrZGQkgoODdced\\\n",
       "nJzQpEkTnD17loGwECiVSnz55ZeYP38+lEpljqHH3ItiUlIStFqtwRBRf39/xMbG6r62sbHBW2+9\\\n",
       "hZ49eyIuLg4//vijbqiiWq3Gjh07YGdnh0GDBiEjIwPW1tYme4Td3d3RsGFDSCQSWFtbY+vWrXBx\\\n",
       "cTGoHx0djRkzZmDBggVGr6NWqzFixAhs2bIFKpVKF2TDwsLQokUL/PPPP0Y3j3+VRCJBpUqVMH78\\\n",
       "eAwePBg2NjZm65dEb7/9Ntq1a4fDhw8Xd1NKlTcpEAKGbWRAJKIsHDJKVMrt3LlT7/PXX3/h5s2b\\\n",
       "mD17ti6E5VdsbCw0Go3BEv5eXl6IjIw0ek5kZKTZ+ln/zcs1ASAjIwNJSUl6HzJNq9UiKSkp1z1g\\\n",
       "poSFhRm9Rs2aNWFlZaVbNGXs2LFYsWIFunfvjk6dOhkMU1Sr1Thx4gQePXoELy8veHh4mHyJfuut\\\n",
       "t/T2+5PL5ShXrpzRups2bTK5MuqNGzewZcsWKJVKaLVaaDQapKSk4NKlSzhw4ADu3buX40uxra0t\\\n",
       "hg8fjt69e8PW1tZs3ZJKEASsXr261LafCiZrPvXgwYOLuylEVEIxEBK9ofr06YNjx44VdzMKzbx5\\\n",
       "8+Dk5KT7ZA1zJNMKowcgLi4OnTt31guFWSuUTpkyBX/88QeeP3+OBQsWoGLFinB2dkZAQIDRuUvP\\\n",
       "nj1DamoqunfvjhMnTmD58uUGC9R4eXlhw4YNeucJgoCVK1cabV94eDjWrFljUJ61V2D2XkW1Wo0n\\\n",
       "T57g4MGDJufBvsrNzQ0ffvghXF1dc+wFytrHMC0tDSkpKUhNTTUZVl+3ChUqID4+Hnv27CnuppQq\\\n",
       "pXH+oKk2TZkyRW/BLSKiLAyERG+o69evo169egW6hru7O6RSKaKiovTKo6Ki4O3tbfQcb29vs/Wz\\\n",
       "/puXawIvX2YSExN1n7CwsDw/D+WdKIo4dOgQAgICcOfOHWRmZkIURfj7+2P69Ono2rUrFAqF3jlW\\\n",
       "VlZwdHQ0er2goCD4+PigQoUKGDlyJB4/fozExEScOHECR48exePHj40Oy2zSpInJVUfHjx+PpKQk\\\n",
       "3UuuKIr47rvvkJqaavKZshbdyUl4eDh27Nhhtr5arcbixYvh7+8Pb29veHp6wsPDA25ubvD19cWy\\\n",
       "ZcsKvM1GYbC2tsZ7771X3M0oNUrzojJZf1bc3Nx0ZVWrVi1x7SSikoFzCIlKuezz9YCX4Wr37t3o\\\n",
       "1KmT3vFFixbl6drW1tZo0KABDh8+jK5duwJ4ORTx8OHD+Pjjj42e06xZMxw+fBjjx4/XlR08eBDN\\\n",
       "mjUDAFSsWBHe3t44fPgw6tatC+DlPLXz589j1KhRJtsil8vNLh5CRevp06do0qQJ/vzzT7z11luw\\\n",
       "trY2+XKp0Whw9+5dg3IHBwdUqVJF7zxBEGBvb4+goCCz97e2toarq6vRYcVKpRLvvPMOFi5ciMaN\\\n",
       "GyM6Ohrff/99Hp/QOLVajc8//xx2dnYmN3T/5ptv8PXXXxsNjTExMRg7diz++usv7N27t9g2p6e8\\\n",
       "K81zCF1dXQEAL168gKOjI5KSkmBlZVVieqyJqGRhICQq5a5evWq0vFGjRoiOjtYNi8vvC8vEiRMx\\\n",
       "aNAgNGzYEI0bN8bixYuRmpqqW3V04MCB8PPzw7x58wAA48aNQ6tWrfD999+jU6dO2Lp1Ky5duoRV\\\n",
       "q1bp2jF+/Hh888038Pf3R8WKFTF9+nT4+vrqQieVTMnJyfj0009x5MgRs0MoHz58iBs3bhiUV65c\\\n",
       "2aA3MbdEUTS7oMvZs2fRrl07NG3aFA8ePCjUOaZqtRqjR49G06ZNUadOHb1j6enp+Pbbb832IIqi\\\n",
       "iH///RcNGjTAxYsX+Q8bpURpDoSRkZG63uCsnnJHR0e8ePGiOJtFRCUUAyFRKXf06NEivX6vXr0Q\\\n",
       "ExODGTNmIDIyEnXr1sWBAwd0i8I8ffpUbw5Y8+bNsXnzZkybNg1Tp06Fv78/du3ahVq1aunqTJ48\\\n",
       "GampqRgxYgQSEhLQsmVLHDhwIF9hIacXMScnp1I9X6akvWjev38fR48exTvvvKPrJcz6+atUKly4\\\n",
       "cAH9+vUzutl7QEBAvp8nOTkZiYmJZutkZGTg+PHj+bp+TrRaLdq0aYPY2Fi93+9XrlzJ1cb2wMtF\\\n",
       "bsqUKYNHjx7B3t6+SNpJhac0B0IA2LdvHwDo/rGCYZCITGEgJKIcffzxxyaHiBpbuKZnz57o2bOn\\\n",
       "yesJgoDZs2dj9uzZhdXEN1b58uURHx+P5OTkEhFsVSoVZs6cifPnz+P58+e4ffs2EhMTodFokJiY\\\n",
       "iJSUFJPz5SIiIqDVag32NcwiiiLS09ORnJwMuVwOW1tbSKVSZGZm4ujRo0hOTi7KR8tRfHw8QkND\\\n",
       "UaVKFV3Ztm3b8nSN2NhYeHt74/nz53BwcCjsJlIhKq2BUBRFXXsaN26MCxculKj2EVHJw0BIVAq9\\\n",
       "8847+Oqrr3LcJDs5ORnLly+Hvb09xowZ85paR4UpNDQUmZmZ2LhxI0aNGlXsc4BEUcS9e/dw//59\\\n",
       "aLXaPIXUs2fPIiwsDBUqVDB6PDIyEpMnT8bVq1fh6OiIdu3aISgoCAkJCVi4cGGxPzsAfPfdd3or\\\n",
       "nmbttZgXqampusWX2FNIReHVP5d///03OnbsCAA4c+ZMcTWJiEowBkKiUqhnz57o3r07nJyc8P77\\\n",
       "76Nhw4bw9fWFQqFAfHw8bt++jVOnTmH//v3o1KkTFi5cWNxNpnySSCSQy+UYNmwY0tPTMW7cuGLv\\\n",
       "KcztCp3ZpaWloWXLlrhx4wZcXFz0jmVmZmL+/Pn4888/kZGRAUEQ8N9//2Hjxo0QBAHPnz8v9ucG\\\n",
       "Xr5cv9oD06RJE+zYsSPP10lLS0O5cuUQGRlpcvVUKl6ltYcwu3fffbdE/NkhopKL204QlULDhg1D\\\n",
       "aGgopk6ditu3b2PEiBEICgpCo0aN0KFDB/zyyy8oV64cLl68iG3btpnc1JtKD0EQMHLkSFSqVCnf\\\n",
       "13h17ltxCQ8PR/Xq1fH8+XO98vj4ePzzzz96m8inpaXh2bNnCAsLg0qlKqYW64uKitILxIMGDTJb\\\n",
       "31xQiI+PR9++fQutbVS4SvO2E0REecEeQqJSSi6Xo3///ujfvz8AIDExEenp6XBzc+PS9m8omUyG\\\n",
       "NWvWoEOHDnobxVtZWUEmk0GtViMzM9PgPEEQ4OLigmrVquHu3bvFvrhEVFQU6tSpgzNnzqBChQoQ\\\n",
       "RREPHjxAVFSUXk+GKIolYv++V6lUKiQlJel6OD08PGBnZ2dyz8Os7TKio6ONPsvevXuhVCrzvfoq\\\n",
       "FZ03pYeQiCgnxf/PxURUKJycnODt7c0w+IarU6cO3n33XdjZ2UGhUKB8+fKYNGkS/vzzT6xYsQLN\\\n",
       "mjWDjY0NJBIJJBIJbGxs0Lp1a2zbtg0rV65E9+7dYWWl/2+BMpnstQ9bjImJQZs2bXDq1Ck8fvwY\\\n",
       "W7ZsQUpKymttgyl2dnbo3bs3mjdvbnBMFEW9vT0FQdDtp2mMtbU1evXqpbfK7qtUKhUSEhIK2mQq\\\n",
       "AuwhJCJLwR5CIqIS7IsvvkCFChXQtGlTeHl5IS0tDZ06dUJycjKio6NRoUIFVKpUCW5ubvD09MSM\\\n",
       "GTOQmJgIV1dXVK5cGV5eXpDL5RAEASkpKXovsI6Ojti6dSvatGmD9PR0tGzZErdu3Xptz/bs2TO0\\\n",
       "a9dOt2F2fucm5oVMJsNbb72Ft99+GxcuXMD+/fuhVCp1xxs1aoQzZ87oQvOlS5fQuHFjvZ7L9evX\\\n",
       "4/Llyzh48CAyMzMRERFh8n7JycnYvHmz0Z5b4GXADAkJgbe3d67ar1QqsWvXLhw+fBiBgYHo1asX\\\n",
       "3N3dIZFIkJmZiadPnyItLQ01atQwCP6UN0XdQ+jn52fwe0cQhNfy54CI6FX824KIqARbsGABgJfD\\\n",
       "QqtWrYqOHTsiOTkZT58+xfPnzxESEoKjR49CLpfDxsYGZcqUQf/+/REcHAwXFxfdvEGtVotnz55h\\\n",
       "+/btunAiiiKqVKkCmUwGiUSC6tWr5zsQymQy2NnZISMjA0qlMteLWGi12lzPD8za8zCvq5tm8fb2\\\n",
       "xsWLF+Hn56d7gU9NTcWQIUNw4MABuLi44I8//tALUg0bNsTs2bMxffp0vWvduHEDFSpUgLu7O6Ki\\\n",
       "oszeNzo62uzxv/76C0FBQTm2//nz52jcuDEiIiIgiiKkUinWrVuHefPmoWzZsjh06BCWLVsGQRCw\\\n",
       "efNmNGjQIMdrUvFo27atXhh0cnJCYmIi7OzsirFVRGSpGAiJiEoBtVqNO3fuQKlUwtbWFmFhYXo9\\\n",
       "W1nDLcPDw/HixQv07NlTbxEZrVaLefPmIT4+XleWlJSEoUOHYv369YiJicGhQ4fy1TaFQoEaNWrA\\\n",
       "xcUFd+7cQVRUVJHM/bOysoK3tzckEgkiIyP15lGaI5FIUKZMGZw5cwZ+fn56x+zs7LB161Y8fPgQ\\\n",
       "GRkZKFOmjMH5X375JZYtW4bIyEi9cqVSma9tJ7L7448/MHPmTLNbUISEhKBu3bpIS0vTlanValy/\\\n",
       "fh19+vSBj48PoqOjkZSUBJlMhvPnz5sMhG/C8MZJkybB1ta2SO9RlD2ER48eBQCu/klEJQIDIRFR\\\n",
       "KaHVanWbv5sKQ6Io4uHDh7h9+zY8PDx0L6qRkZH4888/DeqfPHkSVatWzfcCLtbW1ujcuTM6dOiA\\\n",
       "W7du4fHjx5BKpfnuxTPHwcEBffr0QZ06dXD9+nVs27YNz58/h1qt1ruXIAiQSqWQy+VwcHBAuXLl\\\n",
       "8PXXX8PX19fodSUSCfz9/aHRaIyuxCoIAu7duwcXFxeD4XyvbkGRX5GRkZgxYwYGDBgAd3d3SKVS\\\n",
       "SCQSiKKI8PBwTJ8+Hf/++6/RoYSiKCIhIQFJSUm6r189/9W2aTQag1BLpr2ORWWyn8eASETFgYGQ\\\n",
       "qJQbNGgQhg0bhrfeequ4m0KvQdZcMXMvjhqNBtOmTcOhQ4cgl8uhVCoxYMAAvR7FV+V3w3dBENCj\\\n",
       "Rw8sWLBAt5rmiRMnEBMTowtWGo3GILDlh5WVFVq0aIGPPvoIPj4+6Ny5MyZOnAiVSgVra2soFAoI\\\n",
       "ggC1Wq0Ly2q1GomJiVAqlQgICMjxpV0qlZo85ujoiOXLl2PkyJFG22ZtbY2MjAxoNJo8P6tGo8Ha\\\n",
       "tWuxYsUKqFSqfM0he/UcrVar+z2S9cwZGRmYM2cOli5dmudrW6r8BMLTp0+jW7duuvKgoCBMmDDB\\\n",
       "7LlZw6CzrsNQSESvGwMhUSmXmJiI4OBglC9fHkOGDMGgQYMMhsXRmyPrZT8nZ8+e1c0lXLZsWZEs\\\n",
       "FlO2bFksX74cjo6OEEURrVu3xt27d7F37154eHigZ8+eqFevHtRqNfbt24dFixYhJibG7DUlEgnk\\\n",
       "cjkkEomux9LW1hYdO3bE3Llz4evrqwtu5oZYZvHz80NGRobZsPcqcz1+I0aMwJo1a3Dx4kW99tau\\\n",
       "XRvjx4+Hr68vEhMT8ezZM4SHh+O///7D8ePH9YZ5ZieTyeDm5qYLroUhMzMT27dvx5AhQ2BnZwdR\\\n",
       "FPHkyRP8/vvvup5Eyll+AmF0dDR27typK9+5c6fZQJi9Z5uIqDgwEBKVcrt27UJMTAw2btyIX3/9\\\n",
       "FTNnzkRwcDCGDRuGLl26cBuKN4xKpcpVINRqtdi/fz+OHj2KxMTEIul1eO+99+Dg4KB7cba3t0dw\\\n",
       "cDA0Gg1q1qyJ1q1b645XrVoVjRs3Ro8ePfTmMb4qa+Gc9957D25uboiJiUFSUhIqVaqErl27wsfH\\\n",
       "J9fBLotEIoGVlVWun99cIBQEAd9++y3at2+v+xkoFAp06tQJHTp0gJOTk26oplarRXJyMmbNmoXl\\\n",
       "y5cb7fUTBAEVK1ZEnTp1cOTIEaSnp+fp2cw9w61bt/Do0SNUr14dwMveUltbW72gTeblJxB6enqi\\\n",
       "RYsWuvLcLBZERFTcGAiJ3gAeHh6YOHEiJk6ciCtXrmDdunUYMGAA7O3t0b9/f4wePRr+/v7F3Uwq\\\n",
       "BCkpKbkON+np6QUKGRKJBGXLloVWq0VERIRekChTpgy+//57vTl3VlZWqF+/PgIDA3Url2axtrZG\\\n",
       "27ZtER0djc8++wzLli2DWq2GIAhQKBTo1q0b5syZAz8/P0il0kLtLZFIJMjIyIBMJjN7Xa1Wi5s3\\\n",
       "b0KtVqN27dpGt21o3bo1zpw5g5EjRyI5ORn9+vXDxIkTjfZWyuVy/Pjjj7CxscHChQsNjk+YMAFz\\\n",
       "5syBVCrFP//8g27duuUq7OfGixcv0L59e+zcuRO1atWCj48P5s+fj19++QV//PFHodyDDLVo0QI7\\\n",
       "duwo7mYQEeUJN6YneoM8f/4cBw8exMGDByGVStGxY0fcuHEDNWrUwA8//FDczaNCUBSLtRhjZ2eH\\\n",
       "sLAwPHr0CE+ePEFMTAwGDx6MMmXKoEOHDrhx4wYUCoXBea8O+TTGysoKixcvRkpKCsLDwxEXF4fk\\\n",
       "5GT89ttvKF++PKysrAp96JxWq0V4eHiOq5KGh4ejXbt2aNq0KQICAkxuJ9GwYUOcOHECZ86cwZQp\\\n",
       "U8wOXRUEAfPnzzdY0ObTTz/Fd999B4VCAZlMhvfeew87d+7Mcw+oOZGRkRg5ciSUSiWcnJwQHByM\\\n",
       "LVu2FNr133RFuTF9Vv2snnUOFyWi4sRASFTKZWZm4s8//8R7772H8uXLY/v27Rg/fjwiIiLw66+/\\\n",
       "4tChQ/j9998xe/bs4m4qlRKenp6IjIyEr6+v7mXXxcUF69atw5MnT/D333/D2dm5QPeQy+Xw9fWF\\\n",
       "i4tLoYYgY1JSUvDtt99iy5YtZhds+fTTTxEbG4vMzEw8evQIZcqUMVnf1tYWbm5uuRqSLZFIcO/e\\\n",
       "PdSsWRMuLi5YsmQJFi5caBACOnXqhLCwMFStWtVkoM6r+/fv61YdzRo+S7lTlIHw1d9Xqampul9z\\\n",
       "QRkiKg78m4GolPPx8YFWq0WfPn1w4cIF1K1b16BOmzZtCvwCT28uW1tbLFy4EL1794azs7PZMFJY\\\n",
       "QeV1+umnn7B27VqsWbMGs2bNwv3792Ftba1XR6vV4uzZs3plarUaLi4uiImJMaifV/b29rh582aO\\\n",
       "9Xx8fHD37l3d/VNSUnD06FEMHToUCQkJeb6vtbU1nJyc8nwevVSUPXcMf0RUUpS+v9mJSM8PP/yA\\\n",
       "iIgILFu2zGgYBABnZ2c8evTo9TaMSgWJRIJjx45h9OjRcHV1LZWBLycnT57UDbV98uQJatSoYbCw\\\n",
       "iiAIePfddw3OTU5OxpIlS3T1RVFEeno6IiMj9Xp2ioKVlRWcnZ3xwQcf4OTJk/nqSR0wYMAb+TN9\\\n",
       "HYqyh5CIqCTh3xJEpdyAAQOMzuUiyg25XI46deoUdzOKVLly5fS+fvjwISZNmmSw5P/333+PoKAg\\\n",
       "vQAlCAIOHz6Mx48f48WLF7hw4QJ69eqFBg0aoFGjRjh48OBr6empXr26wTzEnDg5OeG7774zKBdF\\\n",
       "sdR/nJycijygMRASkaVgICQiKsF+++039OvXr8i2D8l6wS5qWq0WSqUyx03X87JojkajwezZs9G+\\\n",
       "fXtcvXoVKpXKaL1p06YZvLCvWrXKYE8+BwcHHD16FNevX0evXr3g7++Pzp07Y9SoUdBoNLhx4wZm\\\n",
       "z56Nf//9F8+fP8edO3fw7rvv4q233kJKSkqu2pxfUqkUjRo1MigXBAE1atTA559/jsGDB8Pf3x/e\\\n",
       "3t7o1q0bwsLCIJfLi7RdbzIGQiKyFAyEREQlWL9+/fDbb78hJiYmVxux55VKpUJ0dLTZOklJSeja\\\n",
       "tStq1qyJAwcOGK0TExODfv36oV27dti5cycyMjIgiiLUajV2794NDw8PODg4wN3dHdu2bdMbsimK\\\n",
       "IsLDw/HRRx+hXr16GDRoUI5tAoDJkyfjq6++wsGDB9GkSRMEBwcbDZMVKlRAvXr1DJ47LCzMoK5U\\\n",
       "KkWtWrWwdetW3Lt3D3/++Sfef/99VKpUCZUqVYIgCNBoNLr7aDQanDp1Cs7OzhgzZkyhbRthzNtv\\\n",
       "v60XPGxtbXHz5k3cvHkT8+fPx7p163Dv3j1ERETgzz//hIODQ5G1hYiI3hwMhEREpYCTkxNCQkKK\\\n",
       "ZEuGxYsXmzyuUqng6+uL3bt34/bt2+jYsSP27dunVycpKQlly5bF5s2bceTIEXTr1g1OTk5o3Lgx\\\n",
       "qlevjm7duuHFixdQq9WIj49Hnz594O/vj59//hl//PEH2rVrhwoVKmDNmjX477//sHHjRtSqVcvs\\\n",
       "HD2tVouff/5ZF8wyMzNx8eJFo72EgiDg+PHjegsr2dra5jgnTxAEvdU5/fz88Mknnxgdoq3RaLB8\\\n",
       "+XIoFAq8/fbbCA0NRUZGBjIzM5Geno6kpCSkp6fn2ENqTpcuXVC9enU4OzujR48eiIuLQ40aNfR+\\\n",
       "T7C3qvCwh5CILAUDIRFRKeHt7Y1atWoV+nVXrVplMnx9+eWXBsvi9+7dWy/YjBs3zmCPv4yMDFy6\\\n",
       "dAkPHz40CEGiKOLRo0cYM2YM+vbti2PHjkGtVuvViYmJwaRJk0y2WaVSQalU6pXJ5XKT2yrY29vj\\\n",
       "yJEj8PLygq2tLWrVqpXnlXclEgnatm2LDh06mAwAWq0Whw4dQuXKlWFjYwO5XA57e3u4uLjA2dkZ\\\n",
       "/v7+2LZtm8nhreZ4e3vjwoULiIiIwPbt2zl3uIgxEBKRpWAgJCIqRRYsWFDo10xJScG8efMMykVR\\\n",
       "xNKlSw3KU1NTdYFGFEUcOnQoX/fVaDRQq9Um5wxu2LDBZI/aixcv9L62s7PD5MmTzfb61a1bFxs3\\\n",
       "bkT37t3Rr18/2Nra5rnNVlZW+PHHH3M1Ny9rfqZWq4VWq4VKpUJoaCj69u2L6tWr49KlS3mavykI\\\n",
       "Auzs7GBjY5PndlPeMRASkaXgPoRERKVIQEBAkVx34cKFmDp1ql5IevjwoUEvXJZXg1r2LRyyCIIA\\\n",
       "Pz8/KJVKxMXFGYQfKysr2NjYQKlUGp17p1QqkZGRYTQAnT59WvcSbmVlhT///BNt27Y1+4yCIKB1\\\n",
       "69aoVKkSJBIJ5HI5RFHM88u8t7c3/P39cePGjTydl0Wr1eLRo0fo1KkTDhw4YDC/sTBotVqkpKQg\\\n",
       "NTVVN+RVo9EgIyMDZcuWLfT7vYnyEvQYCImoNGMPIRFRKfLs2bMiua5KpUKvXr30Fkt56623TNbP\\\n",
       "GpopCALc3d2N1mnevDlu3bqFx48f46effoKDg4NuTp67uzvmzZuHGzdu4MqVK2jUqJHBS7WNjY3B\\\n",
       "UFIASExMxHfffQdBEGBtbY3//e9/ePvtt3O1EqtMJkOFChXg5+eX75VbJRJJgYJ5VtBIS0vDkSNH\\\n",
       "CjSvMLvMzEzMmDEDTk5OcHFxgZ+fH3x8fODp6QkfHx+UL1++0O71pmMPIRFZCvYQEhGVIufPny+y\\\n",
       "ax85cgSRkZHw8PDArVu3EBUVZbRe1mIrWUzNxfvss8/g4OAAQRAwdOhQPH/+HBs2bAAADBs2DCNG\\\n",
       "jNCtnLp9+3a0aNEC4eHhuntUqlTJYE6gWq3Gvn37EBoaCuDlVhFDhgzJ0+brUqlU7wU+KwTn5aU+\\\n",
       "MTEx13VfldVbl7XpfJkyZQotTGi1WsyaNQvffvutQY/r69hahIiISicGQiKiUiImJgbffvttkV0/\\\n",
       "LS0NFSpUgKurK6Kjo032XEkkEr25em5ubgZ1ZDIZ3n//fV3YsbGxwddff43p06dDFEXI5XK9IFS+\\\n",
       "fHmEhYUhNDQUe/fuRZUqVfDWW2/phnVqNBrcvHkTQ4YMwa1bt6DRaCCVStGrV698DbnMCpCiKCIj\\\n",
       "I0MXfn19fXPsOczIyMCZM2fyfE+ZTIZOnTqhe/fucHNzg7e3N6pXr55jIMxNYE1OTkaZMmUM9lak\\\n",
       "/OOQUSKyFAyEREQl2MKFC5GYmIjr16/j3LlzBoupFDaVSoXIyEizdbIHJmPDWN3d3Q0WeBEEwexi\\\n",
       "LIIgoHLlyhg3bpxeedaWDp999plez5dcLsenn36ap95BYx48eICePXsiLCwM3t7e2L17N2rWrGm0\\\n",
       "rkajQevWrZGWlpbn+wQEBGDVqlVwc3PLddhIT0/HZ599hsePH+OHH34wOlQ1OTkZ7u7u+Vq5lExj\\\n",
       "ICQiS8FASERUgk2ePLm4m2DA3d1d9wIsiiLu3btnUKdcuXKFdj+VSoVp06YZDIN0cHAolDlxGzZs\\\n",
       "wL179yCKIh4+fIg6depg5cqVGDZsmN6LvkqlQv369XHr1q183cfPzw8uLi65DrAqlQoBAQG6wH3g\\\n",
       "wAHMnj0bU6dO1bUrKSkJXl5eDINFgIGQiCwFF5UhIiplCtojVlCffvqp7tfp6elISUkxqFO/fv1C\\\n",
       "u19aWprRewQGBua4uXxu/PXXX3pz7DQaDcaOHYu4uDhdmSiKmDVrVr7DIADcuXMn1wvIZGZmokqV\\\n",
       "Knq9r1qtFtOmTUNgYCCOHDmC5cuXw8PDw+RKsFQwXFSGiCwFewiJiEoRKysr9O7dGykpKfjrr78K\\\n",
       "dYXK3HBycsLo0aN1Xz969MjogiXdu3cvtHump6cbvceIESPMnieKIjIzMyGVSk0GR1EUjQ55zczM\\\n",
       "NHjJj4+PN3oNR0dHDB06FGq1GqtXrzYZ0J4/f46QkBCTw1Gz2hMSEoLGjRubXLjm1q1bCA4O5kIx\\\n",
       "RYw9hERkKdhDSERUipQtWxarVq3C77//jr59++ZYX6FQYPDgwdi3bx/+/fdffPnll/Dz88vXvWUy\\\n",
       "GZ4+fao3h9DYUEUrKys0btw4X/cwJmsl0uzM7TuoVqvxxRdfoEaNGpg4caLRfQ6Bl3sdpqenG5T7\\\n",
       "+PjA1dVV97UgCFi4cCE8PT11ZXK5HCtWrMCLFy/www8/4KeffsLt27dN9uCq1Wp8+OGHiI+P121a\\\n",
       "r1ar8fz5c2zatAkdO3aEs7MzqlatmuMqpgyDRERUWNhDSERUigQHB+s2al+xYgU2b95sspdw6tSp\\\n",
       "mDNnjl7Z22+/jW+++QZKpRLVqlXDkydPcnVfQRAQFRUFR0dHvfLAwECUKVNGt11E+fLlceXKFTg4\\\n",
       "OOjqqNVqiKKY733/nJycYGdnh9TUVF2ZQqGAk5OT0foqlQpeXl5ISEgAAPz4449wdHTE119/rVdP\\\n",
       "FEU0adLE4Psnk8nw+PFjg14fOzs7k1txZKlQoQLc3NwQExNj9Pjt27fh5uYGKysraLVaaDQas9ej\\\n",
       "4sMeQiKyFOwhJCIqRe7evavrHRJF0eSLqEQiwbRp00xeR6FQ4MGDB6hSpUqu7isIgtGeOisrK+zf\\\n",
       "vx/9+vXDr7/+ivv378PFxUV3PCwsDJUqVYKzszMGDBhgdKP53Ny7WbNmBvd9NSC+avDgwbowmGXj\\\n",
       "xo0G916xYgVu3rxpcP7SpUvzPTcxNjZWb+6hMVlDWQsjDEqlUvj4+KBatWpwcXEplDmV9BLnEBKR\\\n",
       "pWAgJCIqRa5du6abUxcSEmKyd9DW1hYKhcLstaysrHD79m00adIkxxdarVaL2NhYo8dq1KiBX375\\\n",
       "Bf379zfoBZw4cSLCwsKQlpaG3377DS1btsxXKKxUqZLe12lpaRg/frze9g+iKOL48ePYtm2bwfnP\\\n",
       "nz/HjRs3oNFokJmZiR9//BFjx441qCeTyTB06NA8tw94GQYrVKjw2uZ1ymQyhISEICIiAnfu3EFc\\\n",
       "XBzi4uIwePDgfPfG0v9jICQiS8FASERUiqSkpGDNmjUIDw/HnDlzTM4lc3FxydVLqkwmw6lTpzB6\\\n",
       "9OgcQ0Tbtm2N3k8ikRhsNJ8lNDRU7+sLFy7g77//zrFdrxJFEQcPHtQr02q12LBhA3x9fdGvXz98\\\n",
       "//33+Oyzz9C5c2ejgUylUuH999/HqFGjUK9ePUyYMMFovXfeeQdWVnmbTSGKIr777jt4enrma3/C\\\n",
       "/Pruu+9QsWJF3deCIMDJyQmrV69Gu3btjJ7D4JJ7DIREZCkYCImIShFRFDF9+nR89NFHBiHpVa/O\\\n",
       "4cuJlZUVlixZgvXr18POzs5kvbt372LKlCkGWzSYWrAFgMHCN6IoYvny5XlaFOXkyZN4/PixQbko\\\n",
       "ikhMTMTmzZsxefJkLFmyBMnJySavEx4ejtWrV+PWrVtGw6AgCBg+fHiu2wW8DKZvvfUWJk2a9FoX\\\n",
       "epFIJBg5cqTRY1KpFNOnTzcaUop7y5LShmGQiCwB/2YgIiplEhMTceTIEaN782XJyMjI0zWlUim6\\\n",
       "d++OyZMnm+0hW7BgAapWrYr9+/fj0qVL+Oeff/DgwQOTYWjs2LG6RXCy2Nvb5/ol+sWLF2jXrl2O\\\n",
       "YSu3C7TkdJ3Hjx/r1dFqtQgPD8eFCxcQFRWlFyQ1Gg26dOmCU6dO5XjfwlaxYkVYW1ubPF6rVi2j\\\n",
       "32OuTkpERNlxlVEiolLIXK8cAERGRkKj0eRpkRFRFOHv7w97e3uDRVleFRISgvfeew8KhQKurq74\\\n",
       "+OOPUbVqVaN1ra2t8ezZMwQEBODFixeQy+WYPn16rtqTkpICHx+fPM05tLa2RmZmZr7m8YmiiJkz\\\n",
       "Z8LLywvNmjXD/fv38f777+u2pRAEAW5ubvj666/RsGFD/PLLL9i/f3+e75NXgiDoBTmpVIp9+/aZ\\\n",
       "PcfW1hYSicTg+/C6960szbjKKBFZCgZCIqI3UFpaGq5fv4769evnqn7WXnrbtm3L1Tw4URSRnp6O\\\n",
       "+Ph42Nvbmx2K6OrqisjISJw7dw6Ojo4IDAzM8foajQbe3t5G9zk0RaFQoHPnzrhz5w5u3ryZr96w\\\n",
       "+Ph49O7dG4IgGIQnURQRGxuLTz75BOXLl0dSUtJr6XFzdHREhQoVkJKSAolEglmzZiEgIMDsORKJ\\\n",
       "BFKpNF8L+NBLDIREZCkYCImI3kCiKCI4OBixsbE5zhvbsWMH+vXrB6VSmad7SCQSVK1aFX369Mnx\\\n",
       "hdjKygotW7bM9bWnTZtmclsJY+zs7NCvXz8sWLAAERERaNKkidkhteZkbRpv7njZsmXh7++Pv/76\\\n",
       "C5GRkfm6T27Z2Nhg/PjxaNKkCdzd3eHm5parAMLhoQXDQEhEloJzCImI3lBZvV3mnDx5Ej169MhX\\\n",
       "GHznnXdw5MgRuLm5FaSZBkRRxLJly/J0Tv/+/TF37lw4OzujevXq+Oyzz4zWs7KyQv369eHp6Zmv\\\n",
       "tgmCgP79+2PPnj1YsWIFHj9+jKNHj6Jx48ZwdnaGs7MzfH194efnl+O2H7kVExODo0ePwsrKCo6O\\\n",
       "jrlaGCY+Pj7HYcVkHlcZJSJLwUBIRPQG2759O3bt2mX0mCiK6NixY557kmxsbLB9+3b89ddfcHZ2\\\n",
       "ztO5ublXVFSUbt5eFolEYnaxm8GDB+vaIggCPv/8c9ja2urVUSgUePz4MS5cuIBz587leXsJGxsb\\\n",
       "HD9+HGvXroWdnZ1uu43WrVvj/PnziI+PR3x8PMLDw/H06VM8ffoUzZs3L3BY0Gg02LRpE7p27Yrd\\\n",
       "u3fnGN7z+3MlfQyERGQpGAiJiN5w3bp1w5UrVwzKExMTzQ7LNPai6+joiCNHjuCDDz7I9YI1Wq0W\\\n",
       "kZGRmDt3Lrp06YIvvvgCz549MxpYMjIy0L17d938PYVCgVmzZiEqKgpRUVH47LPPjL58Z59rqFAo\\\n",
       "sGTJEl1vmkKhQHh4OPz8/CCVSlGhQgX4+vrm2HZBEODl5YV9+/YhJSUFQUFBuXr5l0gk8PDwwJ49\\\n",
       "e1CtWjWDXr28BgiNRoPbt2+jT58+qFq1Km7cuGH0+6dWq9G5c2dcuHAhT9cnQwyERGQpOIeQiOgN\\\n",
       "J4oiGjZsiM2bN+sNId2zZ4/JXiSpVKpbpTIrnFlbW2PYsGFo2LChyS0NVCoVIiIicP36dRw+fBiH\\\n",
       "Dx/Go0ePkJGRobvXnj17sGDBAsjlcrz11lsYNWoUXFxcsHPnTqxZswZpaWkQRREKhQKHDh1CixYt\\\n",
       "dPf45ptvsH79esTGxurde+HChQgICIC3t7eurGfPnvj7778RFRWF33//Ha6urrpjgiDg7bffxpo1\\\n",
       "a4w+v0QiQXBwMPbs2WN2e4ecuLi44Ndff8Xw4cMRGhqqWwFVrVbnqwdPq9Xi6dOnqF27NlxcXDBw\\\n",
       "4EC0a9cOSUlJ+PXXX3Hs2LEch4q+CeFl0qRJBj3ARESUPwyEREQWQBRF9OnTB59//jk2bdqEpKQk\\\n",
       "TJo0yaCetbU1XFxc4OjoiLS0NCQkJEClUkEQBHh4eOD999832jOYlJSEiRMnYsuWLUhPT89V2MnI\\\n",
       "yMDBgwdx8OBBo8ednJzQuHFjvTKZTAYHBweDQHjgwAF06dIFR44cga2tLURRhEajwahRo1CpUiWj\\\n",
       "vYEtWrTA2rVr9dpqZWWFsWPHYsGCBZDJZDk+Q04EQUCdOnWwatUq7N69GydOnMCtW7eQmJhY4GvH\\\n",
       "x8djyZIlWLJkSYGvRYa4qAwRWQoGQiIiC/L06VPdsMdXg5BEIoG7uzs6deqEVq1aQaFQ4N69ezh1\\\n",
       "6hQePXoEAGjZsiUqVqwIURR1L8BqtRobNmzAmDFj8rwwTU7S0tIMXrSVSiWioqIM6qrValy8eBG1\\\n",
       "atVC3759YWdnhzt37kAqleKTTz7RazPwcghmdHQ0HBwckJGRAXd3dyxatAjdu3fP096NuSGTyVC3\\\n",
       "bl2UKVMGvr6+mDVrFvcDLAUYCInIUjAQEhFZIGM9eIIgQC6Xw8PDA5UqVUKzZs3Qt29fJCcnQ6vV\\\n",
       "wtPTE+7u7gBeBqrY2Fh07twZFy9eLJIFTFJSUnDt2jU0aNAAgiBArVZj0qRJJvdJFEURjx8/xty5\\\n",
       "c/Weaffu3Zg7dy569+4Na2trPHz4EHPmzMG5c+dQpkwZzJ49G127di30IPhqG6ytreHl5YWgoCAu\\\n",
       "9lJKMBASkaVgICQiKmWyevNSUlJytYl8bmi1WkRFRWHt2rU4f/48FixYgJYtW0KhUBi87IqiiJSU\\\n",
       "FPTt27dIFy8RRRFBQUEYP348/P398cMPP+DWrVt5vkZCQgJGjx6NMWPG6Mqy+Pj4IDg4uMjC4Kuk\\\n",
       "Uin8/Py4WXwpwUBIRJaCgZCIqJRxdnZG165dcf36dVy+fLlQA4ZKpcK1a9fw008/oU2bNkZfdAVB\\\n",
       "QEZGxmtZyVKpVGL+/PmFci1jPXPR0dFITk6Gk5NTodwjS9ZiPFKpVO97KJPJDFZELSyCICAgIABf\\\n",
       "fPEFAgMDkZCQgAMHDmDbtm14/vw5g2geMRASkaXgthNERKVMSkoKDh06hIcPHwL4/xdXmUwGR0dH\\\n",
       "yOXyAl1fFEUcPXrUbB07O7s3Yh6cRqMxuYl9fp0+fRpVq1ZFjRo1sGvXLmg0Gt2xhIQEZGRkFOr9\\\n",
       "gJf/SBAREYG7d+9i8ODBaNCgAdq1a4eFCxfiyZMnSEpKwpkzZ/DFF18U+r2JiKh0YyAkIiplVCoV\\\n",
       "QkNDERsbq+v1kclkqFmzJnr06JGr/fVykpaWZjbwKRQK+Pn5Ffg+JcH27dvx/Plzg/L8zPVLS0tD\\\n",
       "u3bt8ODBA4SEhKB79+5o27YtIiMjkZiYiLlz5+oFxIKSSCTo2LEjoqOj9bbceJUgCLCxsUGzZs0w\\\n",
       "b968Qrv3m477EBKRpWAgJCIq5bKCS7Vq1dC8eXM4ODgU+JparRbx8fEmjwuCgKFDhxpsuC6RSGBj\\\n",
       "YwNbW1uDYyWVVqtFpUqVcO7cOSiVSsTGxmL27NmoW7curly5kqdrRUdH6/UAiqKIEydOoGLFimjQ\\\n",
       "oAHWrVtXoLa6uLigd+/eWLNmDa5cuYKkpCTs27evULbIIH0MhERkKTiHkIjoDZCZmYmbN2/C19cX\\\n",
       "MTExhXLNiRMnYtOmTUaPiaKIRo0awc/PT7cNhIuLC9555x106tQJaWlpWLlyJS5dulQq5q4plUo0\\\n",
       "a9YMEokEoijqQnZQUBDi4uKgUChydR0PDw+DLT2yrp81xDc/BEHAqlWrMGzYMIaP14RzCInIUjAQ\\\n",
       "EhG9AURRxJ07d/D06VOkpKQUyjW3bNkCT09PfPXVV7CxsQHwcr+/1NRUhISE4PDhw6hcuTLKli2L\\\n",
       "+vXrY+DAgahevTrkcjm0Wi1atWqF5cuXY8uWLYiLi4NGo9Hbv7Awh04WluzDZNPS0nDkyBF07Ngx\\\n",
       "V+fb2dnBx8cHERERhdquihUrFloYfBO2vZgzZ06R/0MDAyERWYrSMZ6HiF67zMxMfP755wgMDISd\\\n",
       "nR18fX0xcODAXL3oLlu2DBUqVIBCoUCTJk0MVqNUKpUYM2YM3NzcYG9vj+7duxvdbJyAiIgIHD16\\\n",
       "FOXLl8+xrkajQVJSUqEt9iKKIhYvXgwXFxcoFAooFArY29vD29sbrVq1wpIlSxAaGopGjRrh008/\\\n",
       "Rf369WFvbw+ZTAa5XI7y5ctj7ty5uHPnDp49e4bo6GjEx8cjMTERUVFRGD16tNFhpVlz3l7HVhC5\\\n",
       "MX36dIMQpVarTX6fz507V+ht6NevH0PHa8Yho0RkKRgIiciotLQ0XLlyBdOnT8eVK1ewY8cO3Lt3\\\n",
       "D507dzZ73rZt2zBx4kTMnDkTV65cQZ06ddChQwdER0fr6kyYMAF79uzB9u3bcfz4cURERKBbt25F\\\n",
       "/Uilko+PD1q3bo1Hjx5h6NChxdKGrCGUWR+tVgu1Wo20tDSEh4fj2bNn8PDwMAhwgiDAysoK9vb2\\\n",
       "cHV1hZOTE2xsbCCXy+Hm5oalS5ca7XnL2j6hadOmsLIq/oEsN2/e1Ot11Wg0iIuLM7kHZNmyZVGl\\\n",
       "SpVCbUNhbPEhimKJ7JUlIqLixUBIREY5OTnh4MGD+PDDD1G1alU0bdoUS5cuxeXLl/H06VOT5y1a\\\n",
       "tAjDhw/HkCFDUKNGDaxcuRK2trZYu3YtACAxMRFr1qzBokWL0LZtW91CG2fOnCmSnpU3hSAIWLBg\\\n",
       "QYnpNcui1Wrx5MmTfPWQCIKAwYMHG5SLoggHBwe0bdsWrq6uhdDKglGr1QgPD9crk8lkZhfNMRXe\\\n",
       "89ubdOXKlQINkUxJScEff/yBsWPH5vsaloY9hERkKRgIiSjXEhMTIQgCnJ2djR5XqVS4fPkygoOD\\\n",
       "dWUSiQTBwcE4e/YsAODy5cvIzMzUq1OtWjWUK1dOV4eMc3d3x/r164u7GXpEUcStW7eQnp6er/Pf\\\n",
       "ffddg5dpURShVCrRr18/bNu2Dfb29gbnWVlZoVu3bvj555/xzjvvFGlQ1mq1+PLLL3WBTCqVwsXF\\\n",
       "RTev0pgxY8YUahtiYmJQo0YNpKam5uk8URTRuXNnODo64sMPP8SKFSsKtV1vMgZCIrIUxT8Wh4hK\\\n",
       "BaVSic8//xx9+vSBo6Oj0TqxsbHQaDTw8vLSK/fy8sLdu3cBAJGRkbC2tjYIlV5eXoiMjDR5/4yM\\\n",
       "DL3l/JOSkvL5JKVb//79YWNjg549e5aYxUHS09PRqlUr3LhxI88vxra2tnBwcDD4eYaGhqJcuXII\\\n",
       "CAhAaGgoKlSooBuiKQgCtm7diu7duwMARowYAVEUkZiYCA8PjyJZbGTXrl148OABqlWrpmuDOVkL\\\n",
       "6GT/GRXkZxYSEgJ7e3vY29vj6dOncHFxMVtfqVTCyckJKpUq3/e0dAx6RGQJ2ENIRACATZs26V42\\\n",
       "7e3tcfLkSd2xzMxMfPjhhxBFsdh6GObNmwcnJyfdp2zZssXSjpKgW7duGD58eIna5+/WrVs4cOCA\\\n",
       "yeNZcw6NBaKmTZsalKWlpUEqlUIQBLi5uemCGPDyJd3f31+vflbP9axZswrwFKZptVqMHDkyV4FO\\\n",
       "o9Ggb9++RRbYU1JSEBgYiMzMTLNtaNq0KcNgAbzOHkL2NBJRcSo5bxNEVKw6d+6Ma9eu6T4NGzYE\\\n",
       "8P9h8MmTJzh48KDJ3kHg5ZBGqVRqsGJoVFQUvL29AQDe3t5QqVRISEgwWceYKVOmIDExUfcJCwvL\\\n",
       "55OWfoIgYOnSpThy5AiaN28OuVxe3E0CALz//vtGN7NXKpVo2bIlPD090bp1a72eXgAYMmSIwTmZ\\\n",
       "mZl6gefVYKPVavHgwQOjbZgwYUJ+m5+jEydOmNxLUKlU4s6dO5g5cya8vLzMhuPCEBMTg6tXr+pW\\\n",
       "Os1aMCYtLQ3Xr19HYGAgrl+/XqRteNO9rkBYkv5hh4gsE/8vREQAAAcHB1SpUkX3sbGx0YXBkJAQ\\\n",
       "HDp0CG5ubmavYW1tjQYNGuDw4cO6Mq1Wi8OHD6NZs2YAgAYNGkAmk+nVuXfvHp4+faqrY4xcLoej\\\n",
       "o6Pex5LJZDK0atUKp06dQnh4OJo0aVLcTYJGo0HZsmUNeq6mTZuG8+fPIzU1FSdOnIC3t7feCp3l\\\n",
       "ypUzeq1bt25Bq9UiOTkZISEhesdNzaW0sbGBra2tQblUKkWTJk3QqVMnODg45OPpXoaumjVr6tql\\\n",
       "1WoRHh6OVq1awd7eHjVq1MDs2bMRFxeXr+vnRc2aNaFQKBAZGYkdO3agTp06sLe3h4ODA+rVq4c7\\\n",
       "d+4UeRvedK8jEA4ZMqTEDP0mIsvFOYREZFRmZiZ69OiBK1euYO/evdBoNLo5fq6urrC2tgYAtGvX\\\n",
       "Dh988AE+/vhjAMDEiRMxaNAgNGzYEI0bN8bixYuRmpqq6wVycnLCsGHDMHHiRLi6usLR0RFjx45F\\\n",
       "s2bNjA4dtHRZ4UUikcDJyQkDBgzA1KlTYWdnBwC6IZX//PMPfH19TW6F8LqkpqaiadOmOH/+PKys\\\n",
       "rJCRkYFff/1Vr05CQgLKlCmDmzdvwtXV1eTqssOHD8fGjRuxePFig17F48ePm2zDnDlz9HoK7e3t\\\n",
       "ERISouuBFkURFy5cQOvWraFUKvP0fCqVCrVq1dItKKNUKl/rC71CocCvv/6KLl26QCqV4vbt2xg8\\\n",
       "eDCSk5NfWxvItNOnT+ttoRMUFGS21zrrHzZEUeRwUSIqNgyERGRUeHg4/vrrLwBA3bp19Y4dPXoU\\\n",
       "rVu3BgA8fPgQsbGxumO9evVCTEwMZsyYgcjISNStWxcHDhzQW2jmhx9+gEQiQffu3ZGRkYEOHTpg\\\n",
       "+fLlRf5MpdGr+98lJSVh7ty5OHnyJI4fP673Auno6Ijq1avj8uXLxdFMPVevXsXu3bvRuXNnxMfH\\\n",
       "G10ZMz4+HlWqVEHbtm1x5coVo9e5efMm3n33Xb09LLOkpKRArVYb3afwk08+weHDh3Hs2DHUrl0b\\\n",
       "hw8fhkKh0B0XBAFNmjRBXFwcPDw88hWi87uq6qtkMhkCAgLg6uqKBw8eIDo62uw+gY0aNcKpU6d0\\\n",
       "/xgDAJ6ennleeZRyJy89f1n1oqOjsXPnTl35zp07TQbCrHPmzJlTwJYSERUMAyERGVWhQoVc9Xw8\\\n",
       "fvzYoOzjjz/W9Rgao1AosGzZMixbtqwgTbRYp0+fhlKp1Nv2QBAEtGvXrsgDoUQiQfv27dGrVy98\\\n",
       "//33uHnzpkEdURQxf/58tGvXDpmZmSY3l09PT8f+/ftN3kur1eL58+dGfx9qtVqkpKQY3QJFIpFg\\\n",
       "z5490Gg0ZrejsLW1xaFDh9C8eXOTdYqKQqHA7t270apVK0gkEkRFRaF///44ceKE0ed1cHDA6dOn\\\n",
       "IZPJ9MpdXV055LCI5CcQenp6okWLFrryoKAgo/Wz/oFMKpVi6tSpBWwpEVHBMBASEZUyWq0WoaGh\\\n",
       "qFmzpl55gwYNivS+VlZWuHXrFgICAgC83ALDz8/PaA9eREQENBoN7Ozs4OLiYnJIY05hxtzxhIQE\\\n",
       "k3tiAsjV3oSNGjWCRCLRLc7y6rlyubzIhuD26NEDbdu21YVlHx8f9OzZEydPnjT6zJ07dzYIg8DL\\\n",
       "XkaJRGK2Z5HyJz+BsEWLFtixY0eO9bP+zGRtT5L9WmfOnDE7p5qIqDBxURkiolLI2KIhPj4+uT4/\\\n",
       "PwthDBkyRBcGgZcB0VRPsFqt1oUqc6vHFkRhbKkglUqN9mDKZDJ4eHgU+PrGCIKAbt266QVWQRBg\\\n",
       "Z2dnMgCbCgeCIOQq+FLeFeWiMr1794aVlZXeJ4uVlRXDIBG9VuwhJCIqwfIyHDAoKOi1Dx+cPn06\\\n",
       "pk+fbrbO+fPnX1Nr8k4QBIMFa4qDRCLB4MGDMXjw4DyfWxLa/ybKTw9hbm3ZsgVbtmwxeg1z+0sS\\\n",
       "ERUF9hASERERERFZKPYQEhEREWVTlD2ExnBxICIqLgyERERERNm87kBIRFRcGAiJiIiIsmEgJCJL\\\n",
       "wUBIRERElA0DIRFZCgZCIiIiomwYCInIUnCVUSIiIiIiIgvFHkIiIiKibNhDSESWgoGQiIiIKBsG\\\n",
       "QiKyFAyERERERNkwEBKRpWAgJCIiIsqGgZCILAUDIREREZERDHpEZAm4yigREREREZGFYg8hERER\\\n",
       "UTYcMkpEloKBkIiIiCgbBkIishQMhERERETZMBASkaVgICQiIiLKhoGQiCwFAyERERFRNgyERGQp\\\n",
       "GAiJiIiIsmEgJCJLwW0niIiIiIiILBR7CImIiIiyYQ8hEVkKBkIiIiKibBgIichSMBASERERZcNA\\\n",
       "SESWgoGQiIiIKBsGQiKyFAyERERERNkwEBKRpeAqo0RERERERBaKPYRERERE2bCHkIgsBQMhERER\\\n",
       "UTYMhERkKRgIiYiIiLJhICQiS8FASERERJQNAyERWQoGQiIiIqJsGAiJyFJwlVEiIiIiIiILxR5C\\\n",
       "IiIiomzYQ0hEloKBkIiIiMgIBj0isgQMhERERETZsIeQiCwFAyERERFRNgyERGQpGAiJiIiIsmEg\\\n",
       "JCJLwUBIRERElA0DIRFZCm47QUREREREZKHYQ0hERESUDXsIichSMBASERERZcNASESWgoGQiIiI\\\n",
       "KBsGQiKyFAyERERERNkwEBKRpWAgJCIiIsqGgZCILAVXGSUiIiIiIrJQ7CEkIiIiyqYoewiN1Vco\\\n",
       "FEhPT8/TdYiICgN7CImIiIiyyQqEuf3kh0wmg1QqBQAolUqMHj26MB+BiChXGAiJiIiIsinKQCiK\\\n",
       "IkRRhEqlglqtRmBgIABgxYoVRfEoRERmccgoEb3R1Go15syZU9zNIKJCpFari/we+Rkyevr0aXTr\\\n",
       "1k1XHhQUhAkTJuR4fmhoKADAyoqvZUT0+vH/PET0xnsdL49E9GbJTyCMjo7Gzp07deU7d+7MMRDe\\\n",
       "v38fqampAIDMzMx8tpaIKP8YCImIiIgKgaenJ1q0aKH7OigoKMdzqlatCgDw9vYusnYREZnDQEhE\\\n",
       "RESUTX56CFu0aIEdO3bk6R4A4OTkhOfPn+e9kUREhYCLyhBRrowcORKCIGDx4sU51l22bBkqVKgA\\\n",
       "hUKBJk2a4MKFC3rHlUolxowZAzc3N9jb26N79+6IiooqopYTEeVdUS4qExcXpzvHxsYGCQkJRfAE\\\n",
       "RES5w0BIRDnauXMnzp07B19f3xzrbtu2DRMnTsTMmTNx5coV1KlTBx06dEB0dLSuzoQJE7Bnzx5s\\\n",
       "374dx48fR0REhN5CDERExa0oA6G7u7vu1z4+PqhcuTIqV66ML7/8srAfg4goRwyERGRWeHg4xo4d\\\n",
       "i02bNkEmk+VYf9GiRRg+fDiGDBmCGjVqYOXKlbC1tcXatWsBAImJiVizZg0WLVqEtm3bokGDBli3\\\n",
       "bh3OnDmDc+fOFfXjEBHlWlHuQZglNDRU95k7d24htZyIKPcYCInIJK1WiwEDBmDSpEmoWbNmjvVV\\\n",
       "KhUuX76M4OBgXZlEIkFwcDDOnj0LALh8+TIyMzP16lSrVg3lypXT1SEiKm6vYx9CYx8ioteNi8oQ\\\n",
       "kUkLFiyAlZUVPvnkk1zVj42NhUajgZeXl165l5cX7t69CwCIjIyEtbU1nJ2dDepERkaavHZGRgYy\\\n",
       "MjJ0XyclJeXyKYiIiIjIFPYQEhEAYNOmTbC3t9d9jh8/jiVLlmD9+vUFHhJVGObNmwcnJyfdp2zZ\\\n",
       "ssXdJCJ6gxVlDyERUUnCQEhEAIDOnTvj2rX/a+/uY6os/ziOf0DOOag8mGgcSVFWqbM0CpTO+KOW\\\n",
       "TlpOxZw6p6BlqQVtZn+QNaVWSVM3nU7tnx4257RoOntwbob5lE9DdOV0zJGiCwFdcWAiQp7r94fr\\\n",
       "/nmOIM+cg/f7tZ2Nc93f674extw+Xpz7nLVex44dU3V1tRITExUREaGIiAiVl5frvffe04gRI5q9\\\n",
       "x6BBg9SnT5/7nhhaVVVlfceW2+1WY2PjfU/Vu7emOStWrJDX67VeV69e7dR6AeBBCIQA7II/GQUg\\\n",
       "SYqOjlZ0dLT1fvHixZo6dapfTUZGhrKysvTaa681ew+n06mUlBQVFRUpMzNT0t3PIRYVFSk3N1eS\\\n",
       "lJKSIofDoaKiIs2cOVOSVFpaqitXrsjj8bQ4P5fLJZfL1ZklAkCbdeR7CAGgNyIQAmhWXFyc4uLi\\\n",
       "/NocDofcbrdGjRpltU2cOFEzZsywAt/y5cu1YMECpaamasKECdqwYYNu3rxphcjY2FgtWrRIy5cv\\\n",
       "18CBAxUTE6N33nlHHo9Hzz//fM8tEAAegEAIwC4IhAA6paysTDdu3LDez5kzR9evX9eqVatUWVmp\\\n",
       "5ORk7du3z+9BM+vXr1d4eLhmzpyp27dvKyMjQ1u2bAnG9AGgWQRCAHZBIATQZpcvX25TW25urnVi\\\n",
       "2JzIyEht3rxZmzdv7sLZAUDXIRACsAseKgMAAAAANsUJIQAAQABOCAHYBYEQAAAgAIEQgF0QCAEA\\\n",
       "AAIQCAHYBYEQAAAgAIEQgF0QCAEAAAIQCAHYBU8ZBQAAAACb4oQQAAAgACeEAOyCQAgAABCAQAjA\\\n",
       "LgiEAAAAAQiEAOyCQAgAABCAQAjALgiEAAAAAQiEAOyCp4wCAAAAgE1xQgigVzLGBHsKAEJcZ/6d\\\n",
       "qKura/PJX11dXYfHAYBgIxAC6JXq6ur08ccfB3saAEJYXV2dYmNj29UnNTVVu3fv1rBhw9o9Xmpq\\\n",
       "arv7AECwhRn+mx1AL+Tz+VRRUaHo6Ghbf36ntrZWw4YN09WrVxUTExPs6QQN+3AX+3CXMUZ1dXVK\\\n",
       "SEhQeHj7Px2zevVqFRcXt6tPamqqPvjgg3aPBQDBRiAEgF6strZWsbGx8nq9tg4A7MNd7AMAoL14\\\n",
       "qAwAAAAA2BSBEAAAAABsikAIAL2Yy+VSfn6+XC5XsKcSVOzDXewDAKC9+AwhAAAAANgUJ4QAAAAA\\\n",
       "YFMEQgAAAACwKQIhAAAAANgUgRAAQkhTU5Py8vI0duxY9e/fXwkJCcrOzlZFRUWrfTdv3qwRI0Yo\\\n",
       "MjJSaWlpOnXqlN/1hoYG5eTkKC4uTlFRUZo5c6aqqqq6aymd0tpaAhUWFmr06NGKjIzU2LFjtXfv\\\n",
       "Xr/rxhitWrVKQ4YMUd++fTVp0iRdvHixO5fQaQUFBRo/fryio6P16KOPKjMzU6Wlpa32exj3AgDQ\\\n",
       "fQiEABBC6uvrVVJSopUrV6qkpES7du1SaWmppk2b9sB+3377rZYvX678/HyVlJTomWeeUUZGhqqr\\\n",
       "q62ad999Vz/++KMKCwt16NAhVVRU6NVXX+3uJbVbW9Zyr2PHjmnu3LlatGiRzpw5o8zMTGVmZurc\\\n",
       "uXNWzZo1a7Rx40Z98cUXOnnypPr376+MjAw1NDT01LLa7dChQ8rJydGJEye0f/9+NTU1afLkybp5\\\n",
       "82aLfR7WvQAAdCMDAAhpp06dMpJMeXl5izUTJkwwOTk51vs7d+6YhIQEU1BQYIwxpqamxjgcDlNY\\\n",
       "WGjVXLhwwUgyx48f777Jd0Brawk0e/ZsM2XKFL+2tLQ0s2TJEmOMMT6fz7jdbrN27Vrrek1NjXG5\\\n",
       "XGbHjh3dsILuUV1dbSSZQ4cOtVhjl70AAHQdTggBIMR5vV6FhYVpwIABzV5vbGzU6dOnNWnSJKst\\\n",
       "PDxckyZN0vHjxyVJp0+fVlNTk1/N6NGjlZiYaNWEgrasJdDx48f96iUpIyPDqr906ZIqKyv9amJj\\\n",
       "Y5WWlhZSa2+N1+uVJA0cOLDFGrvsBQCg6xAIASCENTQ0KC8vT3PnzlVMTEyzNTdu3NCdO3cUHx/v\\\n",
       "1x4fH6/KykpJUmVlpZxO532h8t6aUNCWtQSqrKxsde3/tbX1nqHG5/Np2bJlSk9P19NPP91inR32\\\n",
       "AgDQtQiEABBE27dvV1RUlPU6cuSIda2pqUmzZ8+WMUZbt24N4iwRbDk5OTp37px27twZ7KkAAB4y\\\n",
       "EcGeAADY2bRp05SWlma9f+yxxyT9PwyWl5frwIEDLZ4OStKgQYPUp0+f+54YWlVVJbfbLUlyu91q\\\n",
       "bGxUTU2N3ynhvTWhoC1rCeR2u1td+39tQ4YM8atJTk7uwtl3j9zcXP300086fPiwhg4d+sDah30v\\\n",
       "AABdjxNCAAii6OhoPfHEE9arb9++Vhi8ePGifvnlF8XFxT3wHk6nUykpKSoqKrLafD6fioqK5PF4\\\n",
       "JEkpKSlyOBx+NaWlpbpy5YpVEwraspZAHo/Hr16S9u/fb9UnJSXJ7Xb71dTW1urkyZMhtfZAxhjl\\\n",
       "5uZq9+7dOnDggJKSklrt87DuBQCgGwX7qTYAgP9rbGw006ZNM0OHDjVnz541165ds163b9+26l56\\\n",
       "6SWzadMm6/3OnTuNy+Uy33zzjTl//rxZvHixGTBggKmsrLRqli5dahITE82BAwdMcXGx8Xg8xuPx\\\n",
       "9Oj62qK1tWRlZZn333/fqv/tt99MRESEWbdunblw4YLJz883DofD/PHHH1bN559/bgYMGGD27Nlj\\\n",
       "fv/9dzN9+nSTlJRkbt261ePra6u33nrLxMbGmoMHD/r9HtTX11s1dtkLAED3IRACQAi5dOmSkdTs\\\n",
       "69dff7Xqhg8fbvLz8/36btq0ySQmJhqn02kmTJhgTpw44Xf91q1b5u233zaPPPKI6devn5kxY4a5\\\n",
       "du1aD6yq/R60lhdeeMEsWLDAr/67774zI0eONE6n0zz11FPm559/9rvu8/nMypUrTXx8vHG5XGbi\\\n",
       "xImmtLS0J5bSYS39Hnz99ddWjV32AgDQfcKMMSY4Z5MAAAAAgGDiM4QAAAAAYFMEQgAAAACwKQIh\\\n",
       "AAAAANgUgRAAAAAAbIpACAAAAAA2RSAEAAAAAJsiEAIAAACATREIAQAAAMCmCIQAgF7hyy+/1OTJ\\\n",
       "k7t9nH379ik5OVk+n6/bxwIAINgIhACAkNfQ0KCVK1cqPz+/28d6+eWX5XA4tH379m4fCwCAYCMQ\\\n",
       "AgBC3vfff6+YmBilp6f3yHgLFy7Uxo0be2QsAACCiUAIAOgx169fl9vt1urVq622Y8eOyel0qqio\\\n",
       "qMV+O3fu1NSpU/3aXnzxRS1btsyvLTMzUwsXLrTejxgxQp9++qmys7MVFRWl4cOH64cfftD169c1\\\n",
       "ffp0RUVFady4cSouLva7z9SpU1VcXKyysrKOLxYAgF6AQAgA6DGDBw/WV199pY8++kjFxcWqq6tT\\\n",
       "VlaWcnNzNXHixBb7HT16VKmpqR0ac/369UpPT9eZM2c0ZcoUZWVlKTs7W/Pnz1dJSYkef/xxZWdn\\\n",
       "yxhj9UlMTFR8fLyOHDnSoTEBAOgtCIQAgB71yiuv6M0339S8efO0dOlS9e/fXwUFBS3W19TUyOv1\\\n",
       "KiEhocPjLVmyRE8++aRWrVql2tpajR8/XrNmzdLIkSOVl5enCxcuqKqqyq9fQkKCysvLOzQmAAC9\\\n",
       "BYEQANDj1q1bp3///VeFhYXavn27XC5Xi7W3bt2SJEVGRnZorHHjxlk/x8fHS5LGjh17X1t1dbVf\\\n",
       "v759+6q+vr5DYwIA0FsQCAEAPa6srEwVFRXy+Xy6fPnyA2vj4uIUFhamf/75p9X73rlz5742h8Nh\\\n",
       "/RwWFtZiW+DXTPz9998aPHhwq2MCANCbEQgBAD2qsbFR8+fP15w5c/TJJ5/ojTfeuO907l5Op1Nj\\\n",
       "xozR+fPn77sW+Geef/75Z5fMsaGhQWVlZXr22We75H4AAIQqAiEAoEd9+OGH8nq92rhxo/Ly8jRy\\\n",
       "5Ei9/vrrD+yTkZGho0eP3te+Z88e7dq1S2VlZfrss890/vx5lZeX66+//urUHE+cOCGXyyWPx9Op\\\n",
       "+wAAEOoIhACAHnPw4EFt2LBB27ZtU0xMjMLDw7Vt2zYdOXJEW7dubbHfokWLtHfvXnm9Xr/2KVOm\\\n",
       "aM2aNRozZowOHz6sLVu26NSpU9q2bVun5rljxw7NmzdP/fr169R9AAAIdWHm3udsAwAQombNmqXn\\\n",
       "nntOK1askHT3ewiTk5O1YcOGLh3nxo0bGjVqlIqLi5WUlNSl9wYAINRwQggA6BXWrl2rqKiobh/n\\\n",
       "8uXL2rJlC2EQAGALnBACAHql7johBADATgiEAAAAAGBT/MkoAAAAANgUgRAAAAAAbIpACAAAAAA2\\\n",
       "RSAEAAAAAJsiEAIAAACATREIAQAAAMCmCIQAAAAAYFMEQgAAAACwKQIhAAAAANgUgRAAAAAAbIpA\\\n",
       "CAAAAAA2RSAEAAAAAJsiEAIAAACATREIAQAAAMCm/gd6+n6XBRy6JwAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[18] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAkbhJREFUeJzs3Xd4U9X/B/D3TdIknemkpYy2QKFMGWVVNlWQJUuGLBFBGSqi\\\n",
       "oCDbwVdR9lIBURkCDpAte+8yZM8OukvpHkmT+/uDp/mRJulIW9qS9+t58nztybn3nrTly33zOfcc\\\n",
       "QRRFEURERERERGR1JGU9ACIiIiIiIiobDIRERERERERWioGQiIiIiIjISjEQEhERERERWSkGQiIi\\\n",
       "IiIiIivFQEhERERERGSlGAiJiIiIiIisFAMhERERERGRlWIgJCIiIiIislIMhERERERERFaKgZCI\\\n",
       "iIiIiMhKMRASERERERFZKQZCIiIiIiIiK8VASEREREREZKUYCImIyCJHjhyBIAg4cuRIWQ+FSti5\\\n",
       "c+cgl8sRFhb23K/9+PFj2NvbY/fu3c/92kRE1oiBkIiI8rVixQqsW7eurIdhkY0bN2LRokVlPQwA\\\n",
       "gE6nw7fffgs/Pz8olUo0atQImzZtKvTxSUlJGDNmDDw8PGBvb4+OHTsiJCTEqN/mzZsxdOhQ+Pv7\\\n",
       "QxAEdOjQochj/fzzzzF48GD4+PgU+djicnNzwzvvvIMZM2Y892sTEVkjQRRFsawHQURE5VeDBg3g\\\n",
       "7u5uVAnU6XRQq9WQy+WQSMrnvy/26NED165dQ2hoaFkPBVOnTsX//vc/jB49Gs2bN8f27duxa9cu\\\n",
       "bNq0CYMGDcr3WJ1Oh7Zt2+LKlSuYPHky3N3dsWLFCkRERODixYvw9/fX9+3QoQMuXryI5s2b4/Ll\\\n",
       "y2jUqFGRqriXL19GkyZNcOrUKbRu3drSj1ssN2/eRL169XDw4EF06tSpTMZARGQtGAiJiAohPT0d\\\n",
       "9vb2ZT2MMmEuEFYE5SUQRkZGws/PD2PGjMGyZcsAAKIoon379nj48CFCQ0MhlUrNHr9lyxYMHDgQ\\\n",
       "W7duRf/+/QEA8fHxqF27Nl577TVs3LhR3zciIgJVqlSBRCKx6Gf34YcfYtu2bQgNDYUgCJZ94BLQ\\\n",
       "sGFDNGnSBL/++muZjYGIyBqUz3/SJSIqRZGRkRg1ahS8vb2hUCjg5+eHsWPHQq1WAwDWrVsHQRBw\\\n",
       "9OhRjBs3DpUqVULVqlX1x69YsQL169eHQqGAt7c3xo8fj6SkJINr3L17F/369YOXlxeUSiWqVq2K\\\n",
       "QYMGITk5Wd9n//79aNOmDZydneHg4IA6depg2rRpBY6/MMdlZ2dj1qxZqFWrFhQKBapVq4YpU6Yg\\\n",
       "Ozvb6Hzr169HixYtYGdnBxcXF7Rr1w7//vsvAMDX1xfXr1/H0aNHIQiCwRREc88Qbt26Fc2aNYOt\\\n",
       "rS3c3d0xdOhQREZGGvR566234ODggMjISPTu3RsODg7w8PDAJ598Aq1WW+D3YPv27ejevbv+Z1iz\\\n",
       "Zk188cUXBsd26NABu3btQlhYmH7svr6+Zs/51ltv6fvlfc2ePbvAMRU0Xo1Gg3HjxunbBEHA2LFj\\\n",
       "8ejRI5w+fTrf4//44w94enqib9+++jYPDw8MGDAA27dvN/i5VqtWrVgV223btqFTp05GYdDc98HX\\\n",
       "1xdvvfWW/uvcPz8nTpzABx98AA8PDzg7O+Pdd9+FWq1GUlIShg8fDhcXF7i4uGDKlCkw9W/Tr7zy\\\n",
       "Cnbs2GHyPSIiKjmysh4AEdHzFBUVhRYtWuifxwoICEBkZCT++OMPZGRkQC6X6/uOGzcOHh4emDlz\\\n",
       "JtLT0wEAs2fPxpw5cxAcHIyxY8fi9u3bWLlyJc6fP4+TJ0/CxsYGarUaXbp0QXZ2Nt5//314eXkh\\\n",
       "MjISO3fuRFJSElQqFa5fv44ePXqgUaNGmDt3LhQKBe7du4eTJ0/mO/7CHKfT6dCrVy+cOHECY8aM\\\n",
       "Qd26dfHff/9h4cKFuHPnDrZt26bvO2fOHMyePRtBQUGYO3cu5HI5zp49i0OHDuHVV1/FokWL8P77\\\n",
       "78PBwQGff/45AMDT09Ps+NatW4eRI0eiefPmmDdvHmJjY7F48WKcPHkSly5dgrOzs76vVqtFly5d\\\n",
       "0LJlS3z33Xc4cOAAvv/+e9SsWRNjx47N9/uwbt06ODg4YNKkSXBwcMChQ4cwc+ZMpKSkYP78+QCe\\\n",
       "PgeXnJyMR48eYeHChQAABwcHs+d89913ERwcbNC2d+9ebNiwAZUqVdK3JSQk5Du2XI6OjlAoFACA\\\n",
       "S5cuwd7eHnXr1jXo06JFC/37bdq0MXuuS5cuoWnTpkZBr0WLFvjxxx9x584dNGzYsFDjyk9kZCTC\\\n",
       "w8PRtGnTYp8r93d/zpw5OHPmDH788Uc4Ozvj1KlTqF69Or7++mvs3r0b8+fPR4MGDTB8+HCD45s1\\\n",
       "a4aFCxfi+vXraNCgQbHHQ0REZohERFZk+PDhokQiEc+fP2/0nk6nE0VRFH/++WcRgNimTRsxJydH\\\n",
       "/35cXJwol8vFV199VdRqtfr2ZcuWiQDEtWvXiqIoipcuXRIBiFu3bjU7joULF4oAxPj4+CKNvzDH\\\n",
       "/fbbb6JEIhGPHz9u0L5q1SoRgHjy5ElRFEXx7t27okQiEfv06WPweUTx/78XoiiK9evXF9u3b290\\\n",
       "ncOHD4sAxMOHD4uiKIpqtVqsVKmS2KBBAzEzM1Pfb+fOnSIAcebMmfq2ESNGiADEuXPnGpyzSZMm\\\n",
       "YrNmzfL/JoiimJGRYdT27rvvinZ2dmJWVpa+rXv37qKPj0+B5zPl7t27okqlEl955RWD3wMAhXr9\\\n",
       "/PPPBuOoUaOG0TXS09NFAOJnn32W71js7e3Ft99+26h9165dIgBx7969Jo8z97Mz58CBAyIAcceO\\\n",
       "HUbvARBnzZpl1O7j4yOOGDFC/3Xun58uXboY/B61bt1aFARBfO+99/RtOTk5YtWqVU2O8dSpUyIA\\\n",
       "cfPmzYUePxERFR2njBKR1dDpdNi2bRt69uyJwMBAo/fzTpEbPXq0wXNdBw4cgFqtxsSJEw0qNaNH\\\n",
       "j4aTkxN27doFAFCpVACAffv2ISMjw+RYcitl27dvh06nK/RnKMxxW7duRd26dREQEICEhAT9K3dx\\\n",
       "jsOHDwN4OjVQp9Nh5syZRpUnS54du3DhAuLi4jBu3DgolUp9e/fu3REQEKD//jzrvffeM/i6bdu2\\\n",
       "ePDgQYHXsrW11f93amoqEhIS0LZtW2RkZODWrVtFHnte6enp6NOnD1xcXLBp0yaD34P9+/cX6tWl\\\n",
       "Sxf9MZmZmfpq4bNyv0+ZmZn5jqe4xxfW48ePAQAuLi7FPteoUaMMfo9atmwJURQxatQofZtUKkVg\\\n",
       "YKDJn3nuGApbkSUiIstwyigRWY34+HikpKQUevqZn5+fwde5e7LVqVPHoF0ul6NGjRr69/38/DBp\\\n",
       "0iQsWLAAGzZsQNu2bdGrVy8MHTpUHxYHDhyI1atX45133sFnn32Gzp07o2/fvujfv3++z38V5ri7\\\n",
       "d+/i5s2b8PDwMHmOuLg4AMD9+/chkUhQr169Qn0/CmLu+wMAAQEBOHHihEGbUqk0GqOLiwuePHlS\\\n",
       "4LWuX7+O6dOn49ChQ0hJSTF479nnNC01evRo3L9/H6dOnYKbm5vBe3mnlRaGra2tyec3s7Ky9O+X\\\n",
       "5vFFJZbAc3vVq1c3+Dr3d79atWpG7aZ+5rljKMuFbYiIrAEDIRGRGcW5yf7+++/x1ltvYfv27fj3\\\n",
       "33/xwQcfYN68eThz5gyqVq0KW1tbHDt2DIcPH8auXbuwd+9ebN68GZ06dcK///5rdsXJwhyn0+nQ\\\n",
       "sGFDLFiwwOQ58t6Ql5X8VtXMT1JSEtq3bw8nJyfMnTsXNWvWhFKpREhICD799NMiVVxNWbx4MTZt\\\n",
       "2oT169ejcePGRu/HxMQU6jwqlUr/O1S5cmUcPnwYoigaBJzo6GgAgLe3d77nqly5sr7vswp7fGHl\\\n",
       "ht/ChPJc5sKjuZ+vqXZT58gdg7u7e6HHQkRERccpo0RkNTw8PODk5IRr165ZdHzuJt23b982aFer\\\n",
       "1Xj48KHRJt4NGzbE9OnTcezYMRw/fhyRkZFYtWqV/n2JRILOnTtjwYIFuHHjBr766iscOnRIP6XT\\\n",
       "nIKOq1mzJhITE9G5c2cEBwcbvXIreDVr1oROp8ONGzfyvV5hKzTmvj+5bSW1yfmRI0fw+PFjrFu3\\\n",
       "Dh9++CF69OiB4OBgk9Mci1pdOn78OD755BNMnDgRQ4YMMdmncuXKhXpt3rxZf0zjxo2RkZGBmzdv\\\n",
       "Gpzr7Nmz+vfz07hxY4SEhBiF3bNnz8LOzg61a9cu0uc0JyAgAADw8OFDk++npqYateVWnEta7hjy\\\n",
       "LsRDREQli4GQiKyGRCJB7969sWPHDly4cMHo/YKmyQUHB0Mul2PJkiUGfdesWYPk5GR0794dAJCS\\\n",
       "koKcnByDYxs2bAiJRKKf9peYmGh0/txQYGpqYK7CHDdgwABERkbip59+MuqbmZmpXzG1d+/ekEgk\\\n",
       "mDt3rlHQePbz2dvbG22rYUpgYCAqVaqEVatWGXyGPXv24ObNm/rvT3HlVpieHaNarcaKFSuM+trb\\\n",
       "2xd6Cml0dDQGDBiANm3a6FcqNcWSZwhff/112NjYGIxRFEWsWrUKVapUQVBQkME4bt26BY1Go2/r\\\n",
       "378/YmNj8ddff+nbEhISsHXrVvTs2dPk84WWqFKlCqpVq2byzwcAoy1G9uzZg6ysrFLZGuLixYtQ\\\n",
       "qVSoX79+iZ+biIj+H6eMEpFV+frrr/Hvv/+iffv2+i0ZoqOjsXXrVpw4ccJgW4S8PDw8MHXqVMyZ\\\n",
       "Mwddu3ZFr169cPv2baxYsQLNmzfH0KFDAQCHDh3ChAkT8MYbb6B27drIycnBb7/9BqlUin79+gEA\\\n",
       "5s6di2PHjqF79+7w8fFBXFwcVqxYgapVq+a7/UBhjhs2bBi2bNmC9957D4cPH8bLL78MrVaLW7du\\\n",
       "YcuWLdi3bx8CAwNRq1YtfP755/jiiy/Qtm1b9O3bFwqFAufPn4e3tzfmzZsH4Ony/ytXrsSXX36J\\\n",
       "WrVqoVKlSvoFap5lY2ODb775BiNHjkT79u0xePBg/bYTvr6++Oijjyz9sRkICgqCi4sLRowYgQ8+\\\n",
       "+ACCIOC3334zGUqaNWuGzZs3Y9KkSWjevDkcHBzQs2dPk+f94IMPEB8fjylTpuD33383eK9Ro0Zo\\\n",
       "1KgRAMueIaxatSomTpyI+fPnQ6PRoHnz5ti2bRuOHz+ODRs2GEyjnDp1Kn755Rc8fPhQv29i//79\\\n",
       "0apVK4wcORI3btyAu7s7VqxYAa1Wizlz5hhc69ixYzh27BiAp8/Npqen48svvwQAtGvXDu3atct3\\\n",
       "rK+//jr+/vtvo+mtAHDz5k1069YNvXr1QlRUFBYvXgyVSoVTp05h06ZNGDx4cJG/N+bs378fPXv2\\\n",
       "5DOERESlrSyWNiUiKkthYWHi8OHDRQ8PD1GhUIg1atQQx48fL2ZnZ4ui+P/L5pvamkIUn24zERAQ\\\n",
       "INrY2Iienp7i2LFjxSdPnujff/Dggfj222+LNWvWFJVKpejq6ip27NhRPHDggL7PwYMHxddff130\\\n",
       "9vYW5XK56O3tLQ4ePFi8c+dOvmMv7HFqtVr85ptvxPr164sKhUJ0cXERmzVrJs6ZM0dMTk426Lt2\\\n",
       "7VqxSZMm+n7t27cX9+/fr38/JiZG7N69u+jo6CgC0G8RkHfbiVybN2/Wn8/V1VUcMmSI+OjRI4M+\\\n",
       "I0aMEO3t7Y0+36xZs8TC/NV08uRJsVWrVqKtra3o7e0tTpkyRdy3b5/ReNLS0sQ333xTdHZ2FgHk\\\n",
       "uwVF+/btzW4hYWq7haLSarXi119/Lfr4+IhyuVysX7++uH79eqN+uVtyPHz40KA9MTFRHDVqlOjm\\\n",
       "5iba2dmJ7du3N/k7mvs9tPRzhISEiACMti0BIE6aNEl84403RFtbW7Fy5crismXLxFWrVol2dnbi\\\n",
       "O++8I4qi+T8/uePKu2WKqd+FmzdvigAM/swQEVHpEESxFOZ5EBERUYXVuXNneHt747ffftO3CYKA\\\n",
       "WbNmYfbs2aV+/YkTJ+LYsWO4ePEiK4RERKWMzxASERGRga+//hqbN2/WbyXyPD1+/BirV6/Gl19+\\\n",
       "yTBIRPQc8BlCIiIiMtCyZUuo1eoyubabmxvS0tLK5NpERNaIFUIiIiIiIiIrxQohERERFYhLDhAR\\\n",
       "vZhYISQiIiIiIrJSDIRERERERERWilNGiahC0ul0iIqKgqOjI1ciJCIDoigiNTUV3t7ekEiK/m/f\\\n",
       "c+bMwYULF4p0TGBgIGbNmlXkaxERlTUGQiKqkKKiorB69eqyHgYRlVNz5sxBREQEqlatWuTjLNlr\\\n",
       "cefOnQDAUEhEFQ4DIRFVSI6OjgDA6iARmZX7/xNFUdTKoKXHmvr/rtyFezZs2IChQ4cave/t7Y3I\\\n",
       "yEiLx0dEZAoDIRFVSAyCRFSQ4v7/RGGPL+kVWH/99Vf9f8vlcv2ekFFRUSV6HSIigIGQiIiIyIgg\\\n",
       "CEUKlEUNhc/2z3udffv2mRwPALi6uiIxMbFI1yIiyg8DIREREVEelgTCU6dOoWfPnvq2du3aYfLk\\\n",
       "ySU6rpdffrlEz0dExEBIRERElEdRAyEAJCYm6heXAZ4uNFMSgXDOnDn6/96xY0exz0dE9CwGQiIi\\\n",
       "IqI8LAmErq6uCAoK0n/drl27Yo9jw4YN+lVPe/ToUezzERHlxUBIRERElIclgTAoKKhEK3jPrjba\\\n",
       "pEkTVgeJqFQUfbdWIiIiIipVz4bBunXrIiQkpIxHREQvKgZCIiIiojxyK4SFfRXV0KFDIZVKIZVK\\\n",
       "9W1SqRSurq4GYVAikSA9PR0+Pj7w8fHBqlWrSuwzEhEBDIRERERERko7EG7YsAE6nQ46nU7fptPp\\\n",
       "8OTJE4wdO9agLTw8XP969j0iopLAZwiJiIiI8rA06BVWSW9mT0RkKQZCIiIiojxKOxASEZUXDIRE\\\n",
       "REREeTAQEpG14DOEREREREREVooVQiIiIqI8WCEkImvBCiERFdr//vc/CIKAiRMn5ttv69atCAgI\\\n",
       "gFKpRMOGDbF7926D90VRxMyZM1G5cmXY2toiODgYd+/eLcWRExEVTWmvMkpEVF4wEBJRoZw/fx4/\\\n",
       "/PADGjVqlG+/U6dOYfDgwRg1ahQuXbqE3r17o3fv3rh27Zq+z7fffoslS5Zg1apVOHv2LOzt7dGl\\\n",
       "SxdkZWWV9scgIioUBkIishYMhERUoLS0NAwZMgQ//fQTXFxc8u27ePFidO3aFZMnT0bdunXxxRdf\\\n",
       "oGnTpli2bBmAp9XBRYsWYfr06Xj99dfRqFEj/Prrr4iKisK2bduew6chIioYAyERWQsGQiIq0Pjx\\\n",
       "49G9e3cEBwcX2Pf06dNG/bp06YLTp08DAB4+fIiYmBiDPiqVCi1bttT3MSU7OxspKSkGLyKi0sJA\\\n",
       "SETWgoGQiPL1+++/IyQkBPPmzStU/5iYGHh6ehq0eXp6IiYmRv9+bpu5PqbMmzcPKpVK/6pWrVpR\\\n",
       "PgYRERERmcBASERmRURE4MMPP8SGDRugVCrLdCxTp05FcnKy/hUREVGm4yGiFxsrhERkLbjtBBGZ\\\n",
       "dfHiRcTFxaFp06b6Nq1Wi2PHjmHZsmXIzs6GVCo1OMbLywuxsbEGbbGxsfDy8tK/n9tWuXJlgz6N\\\n",
       "Gzc2OxaFQgGFQlHcj0REVCgMekRkLVghJCKzOnfujP/++w+XL1/WvwIDAzFkyBBcvnzZKAwCQOvW\\\n",
       "rXHw4EGDtv3796N169YAAD8/P3h5eRn0SUlJwdmzZ/V9iIjKA1YHicgasEJIRGY5OjqiQYMGBm32\\\n",
       "9vZwc3PTtw8fPhxVqlTRP2P44Ycfon379vj+++/RvXt3/P7777hw4QJ+/PFHANDvY/jll1/C398f\\\n",
       "fn5+mDFjBry9vdG7d+/n+vmIiMwpSthjKCSiioyBkIiKJTw8HBLJ/082CAoKwsaNGzF9+nRMmzYN\\\n",
       "/v7+2LZtm0GwnDJlCtLT0zFmzBgkJSWhTZs22Lt3b5k/p0hElIuBkIisBQMhERXJkSNH8v0aAN54\\\n",
       "4w288cYbZs8hCALmzp2LuXPnlvDoiIhKBgMhEVkLPkNIRERERERkpVghJCIiIsqDFUIishYMhET0\\\n",
       "wjO1GioRVVxarbbUr8FASETWgoGQiF5oUqkU06dPL+thEFEJ+vLLL0s9FDIQEpG1YCAkIiIiyoOB\\\n",
       "kIisBQMhERERUR4MhERkLbjKKBERERERkZVihZCIiIgoD1YIichaMBASERER5cFASETWgoGQiIiI\\\n",
       "KA8GQiKyFgyERERERHkwEBKRtWAgJCIiIsqDgZCIrAVXGSUiIiIiIrJSrBASERER5cEKIRFZCwZC\\\n",
       "IiIiojwYCInIWjAQEhEREeXBQEhE1oKBkIiIiCgPBkIishYMhEREREQmMOgRkTXgKqNERERERERW\\\n",
       "ihVCIiIiojw4ZZSIrAUDIREREVEeDIREZC0YCImIiIjyYCAkImvBQEhERESUBwMhEVkLBkIiIiKi\\\n",
       "PBgIichaMBASERER5cFASETWgttOEBERERERWSlWCImIiIjyYIWQiKwFAyERERFRHgyERGQtOGWU\\\n",
       "iIiIKI/cQFjYV0mc/1kJCQlG7yuVypL6eEREegyERERERHmUdiAsiIeHh/6/JZKnt2vZ2dmYM2dO\\\n",
       "iV+LiKwbAyERERFRHqUdCEVR1L/ySkhIMOin1Wrx6quvAgBmz55t8WciIjKFgZCIiIioHPH19QXw\\\n",
       "/5VBANi3b18ZjYaIXnRcVIaIiIgoD0sWlTl16hR69uypb2/Xrh0mT55c5Gunp6cDALy9vYt8LBFR\\\n",
       "UTEQEhEREeVhSSBMTEzEzp079e07d+60KBASET1PDIREREREeVgSCF1dXREUFKRvb9eunUXXtre3\\\n",
       "R3p6OqKioiw6noioKBgIiYiIiPKwJBAGBQVhx44dxb52aGgoPDw8oNPp9G3PTkUlIipJDIRERERE\\\n",
       "eZT2xvRDhw7Fpk2bDNqkUilUKhUSExMNzi2VSqHVagFwlVEiKnlcZZSIiIjoOduwYQN0Op1BFVCn\\\n",
       "0+HJkycAgPj4eH17bhhUKBSYNWvW8x0oEb3wWCEkIiIiyqO0K4Sm9h98lru7e4F9iIhKAgMhERER\\\n",
       "kQmWBD0iooqGgZCIiIgoj9KuEBIRlRcMhERERER5MBASkbVgICQiIiLKg4GQiKwFAyERERFRHgyE\\\n",
       "RGQtuO0EERERERGRlWKFkIiIiCgPVgiJyFowEBIRERHlwUBIRNaCgZCIiIgoDwZCIrIWDIRERERE\\\n",
       "eTAQEpG1YCAkIiIiyoOBkIisBVcZJSIiIiIislIMhERE5VhuleLZl6enZ1kP67mKioqCQqEw+b0o\\\n",
       "6GVnZ1fg+fv27WvRuUviZW9vj2+++QarVq2Cu7v7c7kmFQ6/r0RkLThllIiogmnTpk1ZD+G5ioyM\\\n",
       "hEajsejYgsKzTqfDhQsXLDp3ScjIyMDXX38NW1tbPHnypMzGQcY4ZZSIrAUDIRFRBSKVSrFmzZqy\\\n",
       "HsZzdf36dYiiaNGxy5cvz/f95ORkREZGWnTukpKSkoKUlJQyHQMZYyAkImvBQEhEVI4FBQUhOTkZ\\\n",
       "KSkp8PPzw6ZNm+Ds7FzWw3qu8vu8giDAxsYGWq0WOp3OIDh6e3vjtddey/fcb775JnQ6XUkNlV4g\\\n",
       "DIREZC34DCERmTVv3jw0b94cjo6OqFSpEnr37o3bt28XeNzWrVsREBAApVKJhg0bYvfu3Qbvi6KI\\\n",
       "mTNnonLlyrC1tUVwcDDu3r1bWh+jQjt58iSuXbuG8PBwHD16FN7e3mU9pOcuODjY5A23vb09oqOj\\\n",
       "kZWVBY1GA41Gg7CwMCxbtgzHjx9HREREvjfq//33H/bu3Vvk8QiCgI8++gj379/HokWLIJPx31Zf\\\n",
       "RHyGkIisBQMhEZl19OhRjB8/HmfOnMH+/fuh0Wjw6quvIj093ewxp06dwuDBgzFq1ChcunQJvXv3\\\n",
       "Ru/evXHt2jV9n2+//RZLlizBqlWrcPbsWdjb26NLly7Iysp6Hh+LKhgHBwdMnz7doM3X1xfJycnw\\\n",
       "9PTU35BLpVJUr14d48ePR5s2bSCRmP8r7tKlS3jppZcsGs/+/fuxYMEC1KhRAx9++CHS09Ph5ORk\\\n",
       "0blKg1wux4QJE/D+++9DLpeX9XCIiKicYyAkIrP27t2Lt956C/Xr18dLL72EdevWITw8HBcvXjR7\\\n",
       "zOLFi9G1a1dMnjwZdevWxRdffIGmTZti2bJlAJ5WBxctWoTp06fj9ddfR6NGjfDrr78iKioK27Zt\\\n",
       "e06fjJ4ntVqNx48fF2tq5ty5c5GYmIh//vkHkZGRePjwIaRSaZHPk5KSgqZNm6Jp06YWPZdYvXp1\\\n",
       "dO7c2aBNLpcjJibGovGUtI4dOyIzMxNLly7FkiVLkJiYCBsbm7IeVoXECiERWQsGQiIqtOTkZACA\\\n",
       "q6ur2T6nT59GcHCwQVuXLl1w+vRpAMDDhw8RExNj0EelUqFly5b6PqZkZ2frF9/gIhwVx7Bhw6BU\\\n",
       "KuHu7g6VSlWsKrCLiwt69uxp0bTZAwcOwMnJCSqVCpcuXbJ4DHv27DHZbmtriylTplh83pLw8ccf\\\n",
       "49ChQwaVUXt7e2zfvr0MR1VxMRASkbVgICSiQtHpdJg4cSJefvllNGjQwGy/mJgYo6X+PT09ERMT\\\n",
       "o38/t81cH1PmzZsHlUqlf1WrVs3Sj0ImiKIIrVZbouccM2YM1q9fr6/EpaWloW/fviV6jcL4448/\\\n",
       "8MorryA1NbVY55FIJAgICDD7/syZM8skGAiCgHXr1uG7774z+X7Xrl3h5eX1nEdV8TEQEpG1YCAk\\\n",
       "okIZP348rl27ht9//71Mrj916lQkJyfrXxEREWUyjvJIo9HgyZMnyMnJsej4q1evwtfXF66urpg5\\\n",
       "c6bFWzw8Kz09HT/99JNR+5kzZwo87uHDhyW68ueCBQtK5DwdO3bM97lEpVJZav9QIZVKYW9vD5VK\\\n",
       "BXt7eygUCtjZ2aF9+/ZISkrCiBEjzB4rCAIuXrwIe3v7Uhnbi4xhkIisAQMhERVowoQJ2LlzJw4f\\\n",
       "PoyqVavm29fLywuxsbEGbbGxsfoKRe7/5tfHFIVCAScnJ4MXPSUIArKysoo8HVOn0+HPP/9EYGAg\\\n",
       "wsPDkZKSgnnz5iEuLq7YY3r77bdNtue3Ufxff/0FR0dH1KhRA15eXgWGwuTkZKxfvx7x8fH59vvs\\\n",
       "s88KHnA+BEFAtWrVzE4Xfdbhw4dLLCAIgoBu3brhyZMn0Gg0SEtLQ1JSEtLS0pCVlYX09HQcOXKk\\\n",
       "UH8WvL29cfPmzTKp0FZUrBASkbVgICQis0RRxIQJE/D333/j0KFD8PPzK/CY1q1b4+DBgwZt+/fv\\\n",
       "R+vWrQEAfn5+8PLyMuiTkpKCs2fP6vtQ0chkMnh6ehapAiSKIpKTk7F27VqjqaKFmTqamZmJjIwM\\\n",
       "s+feuXOnyffWrl1rsl2n0+GNN97QVyfj4+PzrSZGRUXB3d0dw4YNQ9WqVfN9prRXr1747rvv4Obm\\\n",
       "Bjc3N/Tq1QsbN27EgQMHsGzZMrzyyiuoVq0aKleujJYtW2L58uW4d+8eEhMT8fjxY6SlpSEsLKxQ\\\n",
       "i7PUqFEDu3btgq2tbZFDQu5KqY6OjhgzZgwyMjKwa9cuODs7l0jgqFatGrZs2VLs8xAR0YuFmycR\\\n",
       "kVnjx4/Hxo0bsX37djg6Ouqf8VOpVLC1tQUADB8+HFWqVMG8efMAAB9++CHat2+P77//Ht27d8fv\\\n",
       "v/+OCxcu4McffwTw9KZ34sSJ+PLLL+Hv7w8/Pz/MmDED3t7e6N27d5l8zhdBflMZTREEAU5OTlix\\\n",
       "YgUmTJiAo0ePQhAETJkyBZUrV8732B07dmDw4MFQq9WoVasW9uzZg+rVq+tDS1RUFLKzs42Os7Gx\\\n",
       "QcuWLU2eMzk52agieOXKFQQFBRn1FUUR/v7++imyarUaAwYMwLZt26BUKk2e/+OPP8bHH39s1N65\\\n",
       "c2eMHz8+389bVK+99hrS0tKQmJiI3bt3Y8aMGYiIiDA5FVepVOKtt97CtGnT4OnpCZlMVuSfZVGU\\\n",
       "h5VQKwpuTE9E1oKBkIjMWrlyJQCgQ4cOBu0///wz3nrrLQBAeHi4wQ1sUFAQNm7ciOnTp2PatGnw\\\n",
       "9/fHtm3bDBaimTJlCtLT0zFmzBgkJSWhTZs22Lt3r9mbeSodUqkUPj4+2LFjhz6MFRRGsrKy0L9/\\\n",
       "f6jVagDAzZs34evrCzc3N4wfPx6NGzfG33//DYlEYlRpbN68udnzKxQKo7a8q9XmOnjwoFF18sCB\\\n",
       "A/juu++M9issKxKJBO7u7hg+fDjefPNNfP311/jqq6/03ze5XI45c+Zg8uTJDGnlFAMhEVkLQSyJ\\\n",
       "1QOIiJ6zlJQULFiwoMAbMalUWm5Cwotg48aNGDJkiNn3JRIJlEolcnJy9OEnV61atXD79m2zobBR\\\n",
       "o0b477//ADzdeP7Bgwcmf76mnlMFnk6dTUtLMxkuy5pOp8PevXsxffp0yGQyLF++HM2bNy+TsbwI\\\n",
       "4WXKlCn6WQrmzJkzB8nJyUV+3rhnz57YuXMnunbtWug9HDUaDfbu3YsePXpgx44dRboeEVFZY4WQ\\\n",
       "iIgKbfLkyfm+r9PpkJGRYTJ03Lt3D926dcOuXbtMVsUuX76MQ4cOQa1Wo0uXLmaDS2Jiosn2nJwc\\\n",
       "uLq64tixY2jYsCFkMlm5WfBDIpHgtddeQ1BQEERRhLOzc1kPiQrACiERWQsuKkNERIUSHx+P6Ojo\\\n",
       "QvU1N/lk3759sLW1NbmSqUQiQXBwMLp165bvNMr8Fs/JyMhAYGAglEol5HI5PD09cfPmzUKNubQJ\\\n",
       "ggBnZ2e4uLgUKkDExcVhwoQJWLlypcVbipDluMooEVkLVgiJiKhAoiiiQYMGJbJHoUajQY0aNZCa\\\n",
       "mmrRjfSJEyfQsGHDfMciiiK0Wi3i4+Px8ssv4/HjxxXqpj05ORlVq1aFRqMBAMyePRtRUVHFft6Q\\\n",
       "wbLwWCEkImvBCiERERVo3LhxJbI/Ya7MzMxCbW9hSv369ZGSkoJOnToVKiClpKQUa6N7nU6HsLAw\\\n",
       "3Lx50+IxF9V7772nD4PA02rhBx98UOzzctkAIiLKi4GQiIjylZycjB9++KFEz+nn5weZzPJJKg4O\\\n",
       "Djh48CA0Gg3++OOPfIOhra2txZU1tVqNKlWqwNfXF/Xq1YNKpUJ6erqlwy60U6dOGbWtWrUKaWlp\\\n",
       "Ru3Z2dnYtGkT1q5di6ysrHzPW9hFUohTRonIejAQEhFRvo4ePVqilaVq1arh9u3bJXIuQRDQr18/\\\n",
       "pKenY926dSZvzOfPn2/x+efOnavffxMA0tPTUadOnXyP0el0xZ6a2ahRI5PnrV69OpKSkiCKInJy\\\n",
       "crB06VI4ODjgzTffxKhRoxAQEPDcqpgvOgZCIrIWDIRERJSv+vXrF6m/p6cn/v77b9y6dQt//vkn\\\n",
       "+vXrh+bNm2P8+PGIiYlBeHh4ie+9p1AoMGLECERFRekXbREEAR06dMC7775r8XmPHj1q1BYZGYkb\\\n",
       "N26Y7H/y5Em4uLjAwcEBo0aNsjhIr1u3zmT7kydP4OrqCnt7eyiVSnzwwQcG4TM8PLxEp/ZaMwZC\\\n",
       "IrIWDIRERJSvmjVromvXrgX2EwQBs2bNQnR0NHr37o06deqgb9+++OOPP3Du3DksW7YMnp6epTpW\\\n",
       "Ly8vPH78GCkpKUhJScHhw4eLdbM+cOBAk+3Nmzc32GdRFEW88847aNOmDVJSUpCdnY21a9di48aN\\\n",
       "Jo9PT09HixYt4ObmhnHjxhlV9dzc3DB16lSTx4qiaPYZTIlEUuD+fFQ4DIREZC0YCImIqEB79uzB\\\n",
       "gwcP0K5dOyiVSoMbYEEQ4OPjg+joaMyePbvMb44FQYCDgwMcHByKfa7Ro0ebfNYxIyMDbm5uWLly\\\n",
       "JX744Qe4urpizZo1Rv3GjBlj1CaKIqpUqYLz588jMTERK1euRMuWLY36ff311+jWrVuRx8s9DksG\\\n",
       "AyERWQtuO0FEZIV0Oh00Gg0UCkWhj/Hz89NPoczKysKDBw+QmJiIunXrwtXV9YW8KVYoFFi3bh2G\\\n",
       "DRtmNP0zLS0N48aNy/f4zMxMaDQag8VcEhMTkZycbNDv0qVLyMnJMQqfO3fuREBAAO7cuZPvdezt\\\n",
       "7bFnzx60bdu2wM/0Iqw0+uWXX/JZSSKiEsIKIRGRFUpNTcXt27ct3o5BqVSiXr16aNOmDdzc3F7I\\\n",
       "MJhr0KBBmDt3rsWf8dntIwDTewFKJBJIJMZ/JQuCgOvXr5sN7lKpFL/99htSU1MLFQap8FghJCJr\\\n",
       "wUBIRGSFHBwcUKNGDZMhpLTl5OQgJSUFmZmZ5bJapdPpkJmZiaysLIiiCKlUiilTpqBDhw5FPpet\\\n",
       "ra1RWPDw8ICjo6NB2zfffGP2ZyGTyXD9+nWj92vVqoXU1FQMHTqUgaQUMBASkbVgICQiskJSqbRE\\\n",
       "nrErClEUMWDAACgUCqhUKtjZ2cHe3h4fffQREhMTodVqodPpoNVqodVqyyQsHjhwAPb29vrXn3/+\\\n",
       "Ca1WC5lMhrlz5xb6PBKJBA4ODpgwYYLR3n8SiQRxcXEYOHAgmjRpgnPnzmHSpEn5nq9mzZq4f/8+\\\n",
       "2rVrh6CgIFy+fBl3797lAjKliIGQiKwFnyEkIqLnonfv3vjnn38M2jIzM7Fo0SIsWbJEv5WCWq2G\\\n",
       "RqOBXC5HkyZNMH/+fLz00ksWb2QfHh6OTZs2oUePHvluoREWFoZXX31VH0RFUcSbb76JmzdvwtfX\\\n",
       "V/+cZH5BtVGjRvjzzz9RuXJlAE+Dt6ktNpRKJX7//fcifQ5fX1+T22BQ6ShK0GMgJKKKjBVCIiIq\\\n",
       "MlEUcf/+fVy9erVQlbyIiAijMPgsnU6H1NRUxMfHIzk5GRkZGUhKSsLhw4cRGBgIuVwOBwcH+Pr6\\\n",
       "olq1anB0dIStrS0qV66MEydOmD3vnj174Ofnh88++wwNGjRAs2bNzD43GRQUZPRZNBoNLl26BJ1O\\\n",
       "B5lMlu+N/+eff44rV66gVq1a+gqjUqks4DtD5RUrhERkLRgIiYioSLKyslCnTh34+/ujcePG+Pjj\\\n",
       "j/Ptr9Vq4e/vX6xriqKI9PR0hIWF4dGjR0hLS0NWVhZiYmLQtm1bDBkyBKmpqQbHpKeno0ePHgYB\\\n",
       "MCQkBH5+fkbBLzk5GdHR0UbXtbGxQadOnSCTyVC5cmWT1T4AqFKlCr788kuz41er1VwVk4iIyiUG\\\n",
       "QiIiMkmr1UKj0SAnJwdarRZZWVn4448/4OzsjLt370IURYiiiB9++MFslVCn06Fy5crIzs4u1bFu\\\n",
       "3LgR1apV06/gqdPp0Lp1a5PVwPDwcNSuXdug77hx40x+hvPnz+unijo4OKB69epGfQRBwI0bN/Id\\\n",
       "3759+9CrVy988skniIqKKpeL6ZAhVgiJyFowEBIRkYG0tDSMHz8etWvXRu3atdG8eXM0btwY7u7u\\\n",
       "eOONN4zCnSiKZm+Ia9Sogfj4+OcxbCQnJ+OTTz5BXFwc5s+fj//++89s33v37kGlUmHcuHEYOHAg\\\n",
       "/vzzT4P3HR0dcfr0abz00kv6NkEQ8Msvvxida+3atXBycjJ7LVEU8dlnn2H37t34/vvvUaVKFXh6\\\n",
       "eiI2NtZs/+Tk5FIJ0ZmZmSV+zhdZaYXBEydOmDxPQkJCKXwKIqL8cVEZIiIroNPpkJWVBUEQoFAo\\\n",
       "TG5xoNFo8NZbb+H3338v0v6E1apVM9keEhKCsLAwi8dsibVr1+Lo0aO4du1agX0zMjKwcuVK/deC\\\n",
       "IMDNzQ379u1D06ZNTR4TFBSEsWPHYu3atbCxscHWrVvRtWvXfK8jCAIiIiIM2uLj41G1alXcuHHD\\\n",
       "YDqtKIq4du0aVq9ejTfeeAMvv/xyiVSfRFFE9+7dsXfvXov3nrQ2pbmozLN7Rjo6OuqnO3t4eLB6\\\n",
       "TETPHQMhEdELLikpCW+++SaOHTsGtVoNqVSKBg0aoF+/fnjppZcQGRmJJUuW4Pr16xaFhUGDBpls\\\n",
       "3717d3GHXmSZmZm4evWqRZ9DoVDgypUr8Pb2NttHEASsWLECS5cuhUQiKVQQEAQBSqXS6BnHnJwc\\\n",
       "dOrUCffv34dcLgfwdJpucnIyqlatipo1a5bYVMR3330Xe/bsKZFzWYvnscros+GP006JqKwwEBIR\\\n",
       "vcBycnIwYsQI7Nu3Tx+SNBoNLly4gAsXLpTINZ6dVvmsUaNGYcaMGRadUxAEVK1aFQDw6NGjAqsm\\\n",
       "giBAIpFAFEWLK2BeXl767SIKYm5xGXMmTpyIzz//3Kg9MTERarVaHwhlMhlatWqFFi1a6Nvyk/t9\\\n",
       "yS9MaLVarFmzpkjjJcsC4alTp9CzZ099e7t27TB58mSzxymVSmRlZRX594mIqCTxGUIionLsyJEj\\\n",
       "uHPnDjQajUXHx8bG4uTJk8WaJljQzWpUVJTJ9sqVK2Pbtm1QKBQQBAFSqRTu7u6oX78+3NzczN5s\\\n",
       "+/j4ICMjA+Hh4QgPD8fDhw/zvTF3cnJCs2bNir2SadeuXUutSjNlyhST+ygGBATA3t7eoE0mkxUq\\\n",
       "DGZkZGDIkCHo0aNHvs9pRkZGcpqoBSxZVCYxMRE7d+7Uv6ZMmWLy3Ddv3gQAZGdnQxAE/c+H00WJ\\\n",
       "qCwwEBIRlWMdO3ZEQEAAvLy8cP/+/SIfr1Ao4OLiYnHQGTJkCE6cOGH2mToA2LFjh9n3Xn/9dWRm\\\n",
       "ZkKtVkOtViM+Ph7Xrl1DQkICUlJS0LNnT/3+fgqFAr/88gtCQ0MN9u/z8fHBnDlzTJ6/R48eCA8P\\\n",
       "x8GDB7Fx40bY2NiYHUtuKDVFIpFg3rx5Zo8tLplMhtDQUIPrK5VKHDhwwOKfzahRo/D7779j9+7d\\\n",
       "qFWrltkFY0JDQy06PxWdq6srevTooX99++23JvvVrVtX/9/P/k5w2igRlQUGQiKick4URSQmJqJ3\\\n",
       "795FriC4u7vjv//+w6JFi1CpUiWTi8mYIpFIkJiYiPXr16NVq1a4ePEi5s+fb7LvyZMn8z2XIAiQ\\\n",
       "yWRG13ZwcMA///wDjUajX/Rm+PDhJs8xY8YMdOnSRf+1QqFAcnIyduzYAZVKBScnJzRp0gSLFi0y\\\n",
       "eXzr1q2RnZ2NnJwciKKI7OxsHDx4EFOnTsXx48eRk5MDZ2dnk8fm5OSgXbt2sLGxgUKhwNChQ/Vb\\\n",
       "VhRFlSpV9Ft4aDQaZGZmwsXFpcjnAZ7+TuzZs0f/+5CSkoJKlSqZrAQ2btzYomtYO0sqhEFBQdix\\\n",
       "Y4f+ld90UeDpzzH3d5KIqKwwEBIRVQBSqRTvvPOORRUEpVKJ8ePHY/fu3RgwYAAaNWqEWrVqoVKl\\\n",
       "SpDL5UbntLGxwe3bt43CyscffwxbW1uj85f2HoO59uzZgzNnzmDHjh1IS0szudXD6NGj0bZtW/1n\\\n",
       "EgQBTZo0wbFjxwyqh3K5HJ06dcLXX3+NNm3a5Pt9XbBggT40qtVqbNiwAZUqVUJWVpZFn0MikZic\\\n",
       "PloUgiCgdu3aBm1paWk4ceKEUV8nJ6d8F8oh07gPIRFZCy4qQ0RUjrm4uMDZ2Rmff/453nrrLYvP\\\n",
       "I5VKUbNmTYwYMQIuLi5o1qyZPpRotVokJibi1q1bcHZ2Rt26dU0GFkEQcO3aNdSsWdPicRSHIAho\\\n",
       "2bJlvn0kEgmOHj2KyMhIXL58GQ0bNkT16tWLdcP+888/G7U9efIEbdu2xfnz5y0+b3Ft3boVvr6+\\\n",
       "Bm0DBw5EVFSU0ecNCwtDUFAQLl68+BxHWLE9j1VGBUEw2HaCiKgsMBASEZVjUVFRkMlkxa4o6XQ6\\\n",
       "/PHHH1i9ejX69OljEKykUik8PDzg4eFR4Hlq1KiBHj16YOfOnfo2c1Mty0ruCqW5q5QWl6Ojo8n2\\\n",
       "S5cuGawQ+rz5+PigSZMmuHTpkr4tNjYWd+/eNaoeymQynDt3jovLFEFpBsJ+/frhzz//BACDMPjs\\\n",
       "vphERM8Lp4wSEZVjSqWy2GEQAPbv34/33nsPZ8+exbRp06DVai0+17Zt2/TTNQVBwI8//ljs8ZVn\\\n",
       "U6dONXnDn/v8V1k6fvy4we+HKIpo166d2eBX2GdIqXSnjP7xxx8QRdHo9d5775XSpyEiMo9/MxAR\\\n",
       "WYEvvvhCHwJ1Oh0SEhIsPpdUKsWQIUMgk8ng6OiI4ODgkhpmuRQUFGSyClgSzwIWl52dHSpVqmTQ\\\n",
       "lpCQgLi4uDIaERERVTQMhEREFVxudcGcnJwcnD592qAtv20kCuOLL77A3LlzceXKFbNTKl8Unp6e\\\n",
       "+P333422tAgMDCyz6aK5BEHA4sWLDdq0Wi3q1KnD6aHFxEVliMhaMBASEVVQDx8+hK+vL+zt7VGt\\\n",
       "WjUcOXLEZD9TgTE6Otri6Y6iKCIyMhJt27ZF9erVLTpHRdO7d29cunQJDRs2hKOjI+rVq4ft27eX\\\n",
       "9bAAPK1g5g0kKSkp+Pjjj8toRC8GBkIishYMhEREFdDNmzdRs2ZNhIWFITMzE5GRkejUqRP++ecf\\\n",
       "o742NjZG20VY+vxbREQEAgIC0KpVK3z++efPff+03HCr0+mgVquRmJiI2NhYZGdnW1QRy8rKQmho\\\n",
       "KNLT0wvsW79+fVy6dAkRERG4cOGC0VTNsiKTyUwGkqVLlxbrWVFrx0BIRNaCgZCIqAJq27atURgT\\\n",
       "RRGjR482GdLy7k+nVCqhUCiKdM1evXqhevXquHPnDjIzM3H8+HGEh4cXffBFlJqaik8++QT16tVD\\\n",
       "QEAAXn31VcydOxd79+5FaGgotFqtRTfksbGxaNq0KerWrYs6derg9u3bBR4jlUqhUqlM7sdY2rRa\\\n",
       "LdRqtVHIe/jwocmfuVar5TYTxcBASETWgoGQiKiC0Wq1Zita5qp+TZo0wcGDB/Wrlt67d69IN7G/\\\n",
       "/vorduzYYdAmiiI+/PDDwg/cAunp6ahXrx6+//573Lx5E3fu3MHhw4dx4MABBAQEoFGjRvD29oZc\\\n",
       "Li/SCpqZmZlo2rQpbt68iaysLERGRqJXr14WV9Sys7Oxfv16tG3bFq+99hqOHj1a4iuQ6nQ6RERE\\\n",
       "4Ny5cwgNDUVKSgoiIyMxceJEs5Xajz76qETHYE0YCInIWnAfQiKiCkYQBPTv3x8bNmwwCAK5C4yY\\\n",
       "uznt1KkTMjIyIIpikbcfmDJlisn2c+fOFek8RRUfH2+0IqpSqcTChQuN9toritwN3J/18OFDZGZm\\\n",
       "wsHBoUjnyszMRN26dREWFqZv27t3L/z9/XHgwAFUqVIFEokEOp0OGRkZSEtLg0qlgp2dXZGv88MP\\\n",
       "P2DTpk3IyMiAjY0NMjMz893UPCQkBDqdjttNEBGRWfwbgoioHNNqtdDpdAbBTyKR4JdffsGtW7fQ\\\n",
       "p08feHt7o169ejhx4gSGDh2a7/kEQbAoHEilUpPtufsRlpZq1aph6NChkMvlkEqlcHd3x/Hjx9G8\\\n",
       "eXOzx+h0Oty9exehoaEmK2cZGRnYvXu3UXtOTg6ys7OLPMaIiAiTU2fv3r2Ljh074vjx47h//z7+\\\n",
       "/PNPdO/eHU2bNkWLFi2wa9cuaDSaQl1Dq9Vi165dWL58OR49eqR/djIlJSXf5zizs7Nx48aNIn8m\\\n",
       "YoWQiKwHK4REROWYnZ0dZDIZGjVqhD///BPe3t4AnobC2rVr46+//nou41ixYgV69+5tsr00SaVS\\\n",
       "/Pjjj/j++++RnZ0NFxeXAvf+GzZsGDZt2gQAeOmllxASEmJwwx4eHm52amjerSUKw8XFxex7Dx8+\\\n",
       "xIABA2Bra6tf/AYAYmJi0LdvX7Rp0waDBw9GTk4Obt26haysLDRv3hzBwcHw8vKCTCaDRqPB7t27\\\n",
       "MXr0aGRkZBRpbKIoYuDAgQgJCdE/M/oihJcpU6aU+nOcRQl6L8L3lIisFwMhEVE5plaroVarcebM\\\n",
       "GcyZMwc//PBDmYzj9ddfx6uvvop///1X39aqVavnsim9IAiFrkQmJSVh06ZN+qrZ5cuXcfz4cbRr\\\n",
       "107fJ7/nBC0JGW5ubrCzszP5XKcoioiPjzd5nFqtxqFDh3DkyBGDFVJ/+OEHCIIAR0dHNG3aFGq1\\\n",
       "GhcuXIBarS7y2ICnK9IOGTIEa9eufeH3jCxJDIREZC0YCIkquIcPH+L48eMICwtDRkYGPDw80KRJ\\\n",
       "E7Ru3RpKpbKsh0clqKDKWGnbt28f4uPjce7cOTRp0kRfrSxP/v77b6MplJMmTcKFCxf0X7u6upo8\\\n",
       "VqlUWlQhlEgkWLNmDQYNGlTkYwGY3C5DFEWkpKTg6NGj+q8tJYoi/vrrL5w/fx7ffvutxeexRgx6\\\n",
       "RGQNGAiJKqgNGzZg8eLFuHDhAjw9PeHt7Q1bW1skJibi/v37UCqVGDJkCD799FP4+PiU9XCpmOrX\\\n",
       "r4+lS5eW9TDg4eGB7t27l/UwzDJVRYuJiTH42tzzkAcPHrT4ugMHDsTUqVPx8OFDi89hSknt8yiK\\\n",
       "IsLDwy0OrdaIFUIishZcVIaoAmrSpAmWLFmCt956C2FhYYiOjsbFixdx4sQJ3LhxAykpKdi+fTt0\\\n",
       "Oh0CAwOxdevWsh4yWei9997Drl27cOXKlRJZKVKj0eDnn3/GsmXLkJaWVgIjLF/atm1r1Ja3Uv7f\\\n",
       "f/8Z9ZFIJGjRokWxrl2nTp1iHU9ERFQWWCEkqoD+97//oUuXLmbfVygU6NChAzp06ICvvvoKoaGh\\\n",
       "z29wVKJWrlxZYudKTU2Fh4eHfmGTiRMnYtq0aZg1a5bZqllFU6VKFaO2vCuHmtpCQ6VSmfwenDp1\\\n",
       "CsePH8fbb78NDw8Ps9fNycnByZMnLRhx8QmCUGKVRPp/rBASkbVghZCoAsovDObl5uaGZs2aleJo\\\n",
       "qLwoKBSsXLnSIBxptVosXLgQ169ff2EChalQl56ern9OL3dLirzc3NyM2kRRRL9+/TBr1iwMHjw4\\\n",
       "3y0ibt26VSoV14KqwpUqVULVqlVL/LrEbSeIyHowEBK9IOLi4nDt2jVcvXrV4EXWI7+bUq1Wixkz\\\n",
       "Zhi1p6Wl4ZVXXsH9+/fLNBTm7rdYXKZCW0pKCqKioqDVarFv3z6TG7kHBQUZtS1evBgxMTHIzs7G\\\n",
       "wYMH4eXlZRT6RFHEqlWr0KhRoxL//lWtWhWdO3eGXC43+f7cuXMRHR2N0NBQTJ8+vUSvTQyERGQ9\\\n",
       "GAiJKriLFy+iQYMGqFy5Mho1aoTGjRujSZMm+v8lAp5OmzQXuLKzs/Pdm6+0XbhwATVr1kSDBg3M\\\n",
       "LsqSkZGBr7/+GkOGDMHhw4fNjvXZ1URzabVazJkzB+fOncOECRNMHtejRw+Dr3U6HT799FODtsTE\\\n",
       "RDg7O2PAgAH4+++/MX78eNjZ2WHs2LEWhcH8QkTfvn1x69Yt/PPPP5g2bZpR37Zt22LGjBmQSCSQ\\\n",
       "SCSYO3duvvshUtExEBKRteAzhEQV3Ntvv43atWtjzZo18PT05I0JmaRQKNCqVSucPHnSILy4urpi\\\n",
       "9erVePnll8vkOcKkpCS0bt0aOTk5AAB/f3/s3r0br7zyiv53+eTJk+jQoYO+z8aNG6FQKPDrr7+i\\\n",
       "f//++mmVOTk5GD16tMnrXLhwAfXr10dKSorJ9/NWCLOyskyuWKrVarF169ZiLdRka2uLQ4cOoX79\\\n",
       "+rh//z6GDx+OGzduQKfTwdbWFn/88Qe6du2q//wzZszAtWvX8Ndff0EURVSvXh2HDx82OKcgCLh1\\\n",
       "6xYqV65sEPwrVaqEzp07Izs7G6dPn0ZCQkK+U1/p//EZQiKyFgyERBXcgwcP8Oeff6JWrVplPRQq\\\n",
       "x6RSKf7991+cOnUKISEhaNKkCZo1awaVSlWs1Uujo6Oxe/duqNVqtGvXDv7+/manOJry6quv6oMe\\\n",
       "8DRwdevWDR988AH69euHpUuXYsuWLUYVuOzsbAwcOBCVK1fGJ598gri4OOzduxdhYWFG1xAEAb16\\\n",
       "9UKfPn0QFhaGxYsXG5xPLpejUqVKBsdIpdJSW6zl1KlTaNy4MQCgcePGuHr1KrRaLXJyciCXy43C\\\n",
       "hUQiwZYtW3Dv3j0kJyejSZMmJsN7pUqVcP78eQwePBgqlQq//fYbateubXA+URRfiPDy5ZdflnpF\\\n",
       "m4GQiKwFAyFRBde5c2dcuXKFgZAKZGtri86dO6Nz58759svJycGTJ0/g6OhotGXDs30CAgJw//59\\\n",
       "g3apVIrGjRtjxowZaNy4MZycnGBvb28yJEZFRZmd4rlo0SIsWbKkwJv+6OhofPzxx/n28fX1xeef\\\n",
       "fw65XI758+dDEAQsXrwYOp0OgiCgT58+RhvSKxQKeHp6Gu1hWFwSiQQNGjQwapdKpflWaAVBgL+/\\\n",
       "f4Hnb9q0KW7dumU2oDC4EBFRXgyERBXc6tWrMWLECFy7dg0NGjQwurHt1atXGY2MKqqLFy9i0KBB\\\n",
       "kMvl+Ouvv1C/fn2D93OnLUZHRxsdq9VqcfHiRfTu3VsfPiQSCdzd3bFixQp0794dMpkMMTExqFev\\\n",
       "ntkKnCiKJVIBkslkuHLlij6QymQyfP/99+jQoQM+++wzuLu7Y9GiRSaPvXbtGtzd3Ys9hmcJglDq\\\n",
       "U3MZ+koGK4REZC0YCIkquNOnT+PkyZPYs2eP0XuCIJTZQiFUPhU0ZTA1NRUvv/yy/vemQYMGeOWV\\\n",
       "V7B7927IZDLk5OTA19fXZBg0dS3gaUiMjY1Fv379SuZDFJKbmxtiY2ONAljuFNLu3btDp9NBJjP9\\\n",
       "V6GbmxsePXqEV199FTdv3sx3+qifnx8uXLgAJycnXLt2DYGBgSb/7JmaEkrlEwMhEVkLrjJKVMG9\\\n",
       "//77GDp0KKKjo6HT6QxeDIOUSxRFXL16FT/99BMePXpktt/atWuNfm8OHDiAjz/+GLGxsVi/fj2i\\\n",
       "oqJKe7jFplAo8OjRo3yrcVKpFDKZLN+beW9vb+zduxddu3Y1e653330X9+/fh6urK2QyGRo3bozt\\\n",
       "27eb7Pvqq68W7YNQmeEqo0RkLVghJKrgHj9+jI8++gienp5lPRQqxy5evIi2bdsiOzsbUqkUycnJ\\\n",
       "sLOzM+q3fPlyozZRFLFu3To0aNAA+/fvL/eb2EskEoSFhZl9/rEotFot7O3tMWHCBDx69Ag3btzQ\\\n",
       "B2YbGxusX78eAwYMMDque/fucHV1RWJiosG4NmzYUOwx0fPBCiERWQsGQqIKrm/fvjh8+DBq1qxZ\\\n",
       "1kOhckoURXTr1g1ZWVkAni4IU79+fZN7/sXFxZk8hyAIqF+/Puzt7fHXX3+VefXZxsYGTk5OSElJ\\\n",
       "MdhGQSKRYPfu3YX6B5Lc5xTVarX+lZGRgdjYWNy6dQt37tyBWq2Gm5sbBEFA48aNodFokJaWhsDA\\\n",
       "QPz000/5PmMYHh6u38xeJpPh2LFjsLe3L5HPX1Q6nQ7Xrl3D5s2b8dVXX5XJGCoaBkIishYMhEQV\\\n",
       "XO3atTF16lScOHECDRs2NFpU5oMPPiijkVF5kZKSgoSEBIO20NBQREREoFq1agbt5oLeiBEj0LJl\\\n",
       "SwQGBuKLL77ArVu3Sm28BREEAT179sT//vc/ZGdn448//sCxY8fg5OSE77//vlD/OCKKIrKzs3Hv\\\n",
       "3j2sXLkSf/31Fx4/foycnByjCqhMJoNKpYK/vz969uyJYcOGoV69egUuDmNvb4/k5GQkJyfDwcHB\\\n",
       "6M/m85KQkICqVasiOzsbABgIiYjIAAMhUQW3evVqODg44OjRozh69KjBe4IgMBBWcJUrV4ZEIoFc\\\n",
       "LoeXlxdeeeUVvPXWW/Dx8Sn0apVXr141Oc3zjTfewJkzZwzazC2EMn/+fP3WCD/88APat29f5M8i\\\n",
       "kUggk8mg0WiKPe20bt268PPzg0wmM7mNQ35EUURmZiauXbuGzz77DMePHzfYCzGvnJwcPH78GJmZ\\\n",
       "mejVqxfq1q1b6O+9RCKBi4tLkcZX0ho0aKAPg1R4rBASkbXgojJEFdzDhw/Nvh48eFAi11i+fDl8\\\n",
       "fX2hVCrRsmVLnDt3Lt/+W7duRUBAAJRKJRo2bIjdu3cbvC+KImbOnInKlSvD1tYWwcHBuHv3rkVj\\\n",
       "E0Ux31dqamqRF4coT6+YmBhERUUhNDQUZ86cwRdffIGaNWvC3t4eAwYMwLFjx3D16lWcP38e4eHh\\\n",
       "JgPd+fPnTX7vzp8/j5SUFP3XaWlpJoPDb7/9ZrCPYPPmzYt0AyyRSNCoUSPs3r0bu3btQvXq1Qs8\\\n",
       "Jr/tGURRxNatW6HT6Qo9hlxarRZJSUm4c+cOtmzZgrNnz+YbBp+VlZWF9PT0Ut82oiSJoojHjx+X\\\n",
       "9TAqpBdhUZn89qQkIsrFQEj0goqOjsa3335b7PNs3rwZkyZNwqxZsxASEoKXXnoJXbp0Mfus2alT\\\n",
       "pzB48GCMGjUKly5dQu/evdG7d29cu3ZN3+fbb7/FkiVLsGrVKpw9exb29vbo0qWL/hk3Klh2dja2\\\n",
       "bt2KDh06oEmTJmjZsiVq1qyJJk2aGAQAURRx8OBBk+fQ6XSoWrUqTp48iUuXLqFWrVpGIUsulxtt\\\n",
       "F6FQKCCR5P/Xx7M3ynZ2dvjwww/Rrl07BAUF4bXXXivw81WpUgVz5swxW/27e/dugf8w8SydToe4\\\n",
       "uDicOnUKp06dwrVr13D58uUi/c4JgoDAwMAKdYOd+/2nonsRAmFAQEBZD4GIKgBOGSWq4N5++22T\\\n",
       "7WFhYTh37hymTJlSrPMvWLAAo0ePxsiRIwEAq1atwq5du7B27Vp89tlnRv0XL16Mrl27YvLkyQCA\\\n",
       "L774Avv378eyZcuwatUqiKKIRYsWYfr06Xj99dcBAL/++is8PT2xbds2DBo0qFjjtTa5lVDg6dTG\\\n",
       "//77D35+fvjnn3/QsmVLRERE4NixY2aPT01NRZs2bcy+7+fnZ3IfP4VCgYyMDKP+udNbdTqdfmpo\\\n",
       "RkYG1q1bh+DgYNjZ2RVYkRMEAStXrkS3bt0wefJkvPbaazh06JDR53799dcRExOT77N5Op0OV65c\\\n",
       "wcyZM3Hr1i2oVCq0bNkSVapUQVxcXKGnrkokErRo0aJQYba8Wbt2Lfr371/Ww6hwXqQpo4IglPvV\\\n",
       "gYmo7LBCSFTBPXnyxOCVkJCAc+fO4ciRI/juu++KdW61Wo2LFy8iODhY3yaRSBAcHIzTp0+bPOb0\\\n",
       "6dMG/QGgS5cu+v4PHz5ETEyMQZ/cm3Rz56SiSU1NRXBwMGrUqIFmzZohLS3N4nOlp6ebvJGsXLmy\\\n",
       "wdcymQzNmjXD0qVL8eWXX8LNzU1/nE6nw4kTJzBy5EgcPHgQ2dnZZjeDB54uxtK1a1d9uNy1a5fB\\\n",
       "lNVciYmJmDp1qtnzZGVloWHDhmjWrBl27tyJe/fu4cqVK9ixYwf27NmDsLCwAm+SJRKJfl/BI0eO\\\n",
       "QKFQ5Nu/POrbty+aNGlS1sOocF6ECuGzKtp4iej5YSAkquD+/vtvg9c///yDa9euYe7cudi2bVux\\\n",
       "zp2QkACtVmu0hL+npydiYmJMHhMTE5Nv/9z/Lco5gadTJFNSUgxeZJ5Wq0VsbGyxwiDwNHSZeq6w\\\n",
       "Tp06+ptKhUKBfv36YdOmTRg2bBj69u0LDw8Pg/6iKOLKlSu4efMmvLy84OTkZPaajRs3NgiMCoXC\\\n",
       "KIDmWr9+vdlnCbdv345bt24ZhL6cnBwkJCTg9u3bJiuceTk5OWH27NkIDg42GUorAkEQsHnz5go7\\\n",
       "fiqe3FkEQ4YMKeuhEFE5xUBI9IIaPHgwjhw5UtbDKDHz5s2DSqXSv/Jul0DGSmKKWEZGBrp06WI0\\\n",
       "zXPOnDkYMmQIvv/+ezx+/Bi///47/P394ejoCB8fH7Ro0cLoXElJScjMzMR7772H06dP49tvv4Wn\\\n",
       "p6dBtcLNzQ379+83OE4QBKxbt87k+GJjY01u9p6WloahQ4eaDIuZmZmIj48v1GIyvr6+6NSpU6E2\\\n",
       "uc/JyUFWVhYyMjKQlpaGjIyMMt+vMZe/vz/S0tKwZcuWsh5KhVIRq4PmxjR9+nSDBbeIiHIxEBK9\\\n",
       "oK5cuVLsaWLu7u6QSqWIjY01aI+NjYWXl5fJY7y8vPLtn/u/RTknAEydOlW/p1tycjIiIiKK/HnI\\\n",
       "MseOHUPdunURHR0NnU4HnU6Hhg0bYvXq1fjoo4+MNluXSCRwdnY2Oo8gCOjduzf8/PxQu3ZtTJ48\\\n",
       "GdHR0cjIyMCVK1dw5coVREdHmwxfrVq1MjvNdPTo0cjMzDRomzVrVqFXD83PjRs3cP78+XxvoHNy\\\n",
       "cjB79mxUqVIFrq6ucHFxgYuLC1QqFdzd3fHjjz+WixtwGxsbvPHGG2U9jAqjIk8ZzX2u9tk/h3Xr\\\n",
       "1i134ySi8oGLyhBVcJMmTTJqi42Nxfbt29G9e3eD9xcsWFCkc8vlcjRr1gwHDx5E7969ATx9Huzg\\\n",
       "wYOYMGGCyWNat26NgwcPYuLEifq2/fv3o3Xr1gCeLlLi5eWFgwcPonHjxgCebpx+9uxZjB071uxY\\\n",
       "FApFhXx+60Vx7949BAQEYPv27WjdujVsbGzMrjSq0+mM9jcEADs7OzRu3NjgplQQBCiVSjRq1Cjf\\\n",
       "68vlcri4uCA+Pt7ovezsbHTr1g1Lly5F3bp1kZiYiB9++KGIn9A0tVqN1157DUeOHNH/Duf18ccf\\\n",
       "Y+nSpSZDX1JSEt577z3s2rULf//9d4Grs1L5UZEXlckNgsnJyXBwcEBaWhqkUmm5qVgTUfnCQEhU\\\n",
       "wV26dMlke/PmzREXF6ffHsLSG5ZJkyZhxIgRCAwMRIsWLbBo0SKkp6frVx0dPnw4qlSpgnnz5gEA\\\n",
       "PvzwQ7Rv3x7ff/89unfvjt9//x0XLlzAjz/+qB/HxIkT8eWXX8Lf3x9+fn6YMWMGvL299aGTyqeU\\\n",
       "lBQMHz4cR44cQfXq1c3eMD98+NDk3oc1atSwONSLopjv9glHjhxBs2bN0KFDB1y/fh3p6ekWXccU\\\n",
       "tVqNdu3aITIyEpUqVTJ4LyMjAytXrsy3AiiKIv755x+0a9cOR48erVD7GFqzihwI4+Pj0aVLFwDQ\\\n",
       "Pyvr4OCA5OTkshwWEZVTDIREFdzhw4dL9fwDBw5EfHw8Zs6ciZiYGDRu3Bh79+7VLwoTHh5uUPUI\\\n",
       "CgrCxo0bMX36dEybNg3+/v7Ytm2bwX5yU6ZMQXp6OsaMGYOkpCS0adMGe/fuLdRzWnkVdCPm6OhY\\\n",
       "LqbrWaq83WhGRkZi7ty5mDZtGtzd3aFQKPTVwuzsbJw4cQJvvvmmyYVo6tata3GFLDMzs8CFhNRq\\\n",
       "Nf7991+Lzl+QnJwctGjRAqGhoQbtZ86cgUajKdQ5Tp48iRo1auDu3btc4KUCqMiBEID+z0Lu//8x\\\n",
       "DBKROQyERFSgCRMmmJ0iamrhmjfeeCPfZ5UEQcDcuXMxd+7ckhriC6tDhw64e/cuoqKiykWw1el0\\\n",
       "2Lx5M06cOAGNRoO0tDTodDoIgoCsrCxkZWWZHWdkZCREUcz35jknJweZmZmQSCRQKBSQSCTQarU4\\\n",
       "depUsVdMLa7w8HAkJydDpVLp29avX1/kc+SuqMsp0OVbRQ2Ez/4Za9KkCS5dulSuxkdE5Q8fZiCq\\\n",
       "gLp27WryGa28UlNT8c0332D58uXPYVRUGg4fPozw8HD8+++/5WaqYVZWFu7fv4/w8HAkJiYiKSkJ\\\n",
       "T548QWZmZr6h9ezZs4iOjjb7fmpqKj7++GO0bNkSbdq0wZQpU3DgwAHs2rUL06ZNK5FFYopDFEWj\\\n",
       "VTrz+zzmJCUlwc3NzWghHKKSkruSaEhICHbs2KFvP378eBmOiojKK1YIiSqgN954A/369YNKpULP\\\n",
       "nj0RGBgIb29vKJVKPHnyBDdu3MCJEyewe/dudO/eHfPnzy/rIVMxSCQSBAcH45tvvsEnn3xS1sOx\\\n",
       "WHZ2NgIDA3Hnzh04ODgYvKfVajF//nz88MMPUKvVAJ6u8LlhwwbIZDLEx8eXiwrpqlWrMHr0aP3X\\\n",
       "7du3x969e4t8nvT0dHh5eSE+Pp7TR8upilohzKtHjx7l4s8OEZVfrBASVUCjRo3CgwcPMG3aNNy4\\\n",
       "cQNjxoxB27Zt0bx5c3Tp0gU//fQTqlevjvPnz2Pz5s2oXr16WQ+ZSsAHH3xgMF2xqMrDTWt0dDRq\\\n",
       "1aqFxMREg/bU1FRs2rQJarVaX91Qq9WIj49HTExMoZ/TK203b940uLl+NhwWVUpKCrp161YSw6JS\\\n",
       "UJG3nSAiKgpWCIkqKIVCgaFDh2Lo0KEAni4YkJmZCTc3N/0eVPRisbGxwbfffouxY8cabLgukUgg\\\n",
       "k8mg0+nMTqt0cnJCvXr1cPv2bTx58uR5Ddmk2NhYBAQEICQkBN7e3hBFEbdv30Z0dLRRJaO8baKd\\\n",
       "lZWFzMxM/Yqnrq6usLOz06/kmJdMJoOTkxOSkpIMfma5jh49iqysLIsWVKLS9aJUCImICsIKIdEL\\\n",
       "QqVSwcvLi2HwBderVy/4+flBIpFAIpHA0dERQ4cOxbZt2/Dzzz+jefPmsLGx0d+gymQytGjRAjt3\\\n",
       "7sTGjRvx7rvvGvyOCIIAOzs7o83lS1t8fDxatGiB48eP48GDB1i2bFm5eabO0dEREyZMwCuvvGL0\\\n",
       "niiKmDx5sv5rQRDQqlUrs+eysbHB4MGDUb9+fZPv5+Tk4PHjx8UfNJU4VgiJyFqwQkhEVI5Nnz4d\\\n",
       "fn5+aNGiBdzc3PD48WP07t0bf/75J1JTU+Ht7Y369evD09MTPj4++N///ofw8HDY2tqiYcOG8PHx\\\n",
       "ga2tLQRBgFqthkqlgkQigSAI8PX1xenTp1GpUiXodDq88847WLdu3XP7bNHR0ejYsaN+JdHnQRAE\\\n",
       "1KxZE926dcONGzdw7Ngx/TOLwNMFm3bt2qXfHuPOnTsICAgwqFKuWLECR48exdGjR6HVavHw4UOz\\\n",
       "18vMzMSmTZvy/Xz//fcfqlSpUqjx5+Tk4N9//8Xff/+NOnXqYNiwYfDw8IAgCMjJycHDhw+RmZmJ\\\n",
       "Bg0alJtFiCqq0q4Qenl5ITY21qi9PFXEicg6MBASEZVjX331FYCn00KrV6+Odu3aIS4uDikpKUhN\\\n",
       "TUVycjJmzpyJefPmwd7eHt7e3hg4cCCGDx8ONzc3g33/kpOTsXTpUv0egYIgQKVSQRAESKVSBAcH\\\n",
       "WxwIpVIp7OzskJOTk+/WE3mJolikMCgIgsU3zDY2NtizZw86deqkv4HPzMzE6NGjsWPHDlSuXBmb\\\n",
       "Nm0y+J7Vrl0bq1atwrvvvmtwruvXr6Ny5cpwdXVFQkJCvtfN+7xkXps2bULXrl0LHH9aWhqaNm2K\\\n",
       "e/fuQRRFSCQSrFixAl9//TVq1qyprxJLJBL88ccf+VYuqWy1bdvWIAw6OjoiNTVVPxWZiOh5YiAk\\\n",
       "IqoAdDodwsLCsHfvXshkMiQnJ+uDVE5ODrKzs5GUlISoqCjExcVh2LBhBsFGFEWsXr3aYJuEhw8f\\\n",
       "Yvny5Xj//feRnZ2N//3vfxaNzcbGBvXr10f16tVx69YtPHjwoFS2iJBKpfDw8IBUKkV8fLxBZa8w\\\n",
       "Y/z999/RuXNng3ZbW1v89ttviIuLg06nM7loz5gxY/DNN9/gwYMHBu0ajcZkhaeodu3ahZSUFDg5\\\n",
       "OZntk5SUBD8/PyQlJenbdDodHj58iJEjR8LZ2RkpKSnIysqCVCrFwYMHzQbCF2F645QpU2Bra1uq\\\n",
       "1yjNCuGJEycAsBpIROUDnyEkIqogRFFEWlqaQRg01SciIgLXrl0zaE9PT8f//vc/gxtQURTxySef\\\n",
       "wM3NDV5eXkbHFIZMJkP//v0xe/ZsdOnSBZ6enlAqlaUSOhwdHTFu3Dj89NNPmDlzJnx8fAyel3xW\\\n",
       "btVTLpdDpVJhzJgx6NWrl8nzCoIAT09PeHl5mR33zZs3IZOVzr+hJicnY+TIkTh69Cju37+PR48e\\\n",
       "IS4uDomJiQgNDcXEiRPh4eFhEAaflZWVhdjYWGRmZkKn00EURf3/Piv394cK53k8Q8jnEImoPGCF\\\n",
       "kKiCGzFiBEaNGoV27dqV9VDoOSloiqVOp8OkSZNw9uxZKBQKaDQajB07FqmpqSb7WxoSBEHAiBEj\\\n",
       "8O2330KhUCAsLAyXLl1CeHg4pFIpNBoN1Go1tFptsSshUqkUXbp0wZgxY+Di4oLOnTtjwoQJ+oVo\\\n",
       "bGxsIIoiUlNT8eTJE+h0OqjVakRGRiItLQ2vvPJKgYEuvxtyuVyOvXv3Ijg42ORxUqkUOp3O5Eqi\\\n",
       "BdHpdNi1axf++ecfi79Xzx6j0+mQmZkJURT1n0mj0WDZsmX6KchUMEsqhKdOnULPnj317e3atTNY\\\n",
       "hMjcsbk/v+JMiSYishQDIVEFl5ycjODgYPj4+GDkyJEYMWJEoReooIpHp9MV6pm7q1evokePHujf\\\n",
       "vz9+/PFHXLp0qcTH4uPjg6VLl+qn7vn7++Ptt9+Gq6srVCoV2rdvjypVqiAtLQ1bt27FkiVLzFa5\\\n",
       "ckmlUiiVSoiiqN97UKlUok+fPliwYAFcXV31N9+51b9nubu7w8/PT/+1TqdDRkZGiVT3OnfujHbt\\\n",
       "2uHYsWMG7a6urhg9ejQaN26MtLQ0PHjwAHfv3sXVq1dx//79fKfPSiQS2NvbIzMzs8Sm2ep0Ovz9\\\n",
       "99/47LPP4OjoCAB48OABFi5cWOZbjlQklgTCxMRE7Ny5U9++c+fOfAPhs+GPFUIiKisMhEQV3LZt\\\n",
       "2xAfH4/ffvsNv/zyC2bNmoXg4GCMGjUKr7/+OreheMFotdpCVaFEUcTRo0dx7tw5pKWllUrVYfDg\\\n",
       "wQb758lkMgQEBOD1119HpUqVUK1aNcjlcgBPF2dp164d+vbti5SUFJPnUygUaNOmDfr27QupVIrb\\\n",
       "t2/r9ywcPnw4XFxcinzTLJFIoFAoirTITX7XWLhwIVq0aKEP5RKJBI0bN8bo0aPh7e0NqVQKURSR\\\n",
       "k5ODuLg4vP322zh8+LDZ83l4eKBmzZq4fPlyiT53GR4ejlu3bqFp06YAni6e8+wzpVQwSwKhq6sr\\\n",
       "goKC9O2cuUFEFQEDIdELwMPDA5MmTcKkSZMQEhKCn3/+GcOGDYODgwOGDh2KcePGwd/fv6yHSSUg\\\n",
       "t2pW2L5F6Z+XIAjw8PCATqdDYmKiQRCtWrUq5syZY3DDLAgCXFxc0Lp1a6Mbablcjs6dOyMxMRGf\\\n",
       "fvopFi9ejJycHAiCAEdHR8yePRtjxoyBnZ1diVdKpFJpoRagEUURoaGhyMrKQu3atU1u29C0aVMc\\\n",
       "O3YM/fv3R1paGpo3b46NGzeiUqVKBv3kcjl8fX1x8OBBDBw4EFu3bjU61/Dhw7Fq1SpIpVJs2bIF\\\n",
       "b731Voltv5GRkYFXX30Vf/75JwIDA+Hl5YXJkydjxYoVuHHjRolcg4wFBQVhx44dZT0MIqIi4T8X\\\n",
       "Er1AoqOjsX//fuzfvx9SqRTdunXDf//9h3r16mHhwoVlPTyqQHKfCYyJiUFcXBwSEhIwePBgeHl5\\\n",
       "oUuXLrh165bZ6nN+gU4qleK7775DZmYmEhMTkZ6ejqSkJHz00Uewt7cvlWlzoigiISGhwHAcHR2N\\\n",
       "Zs2aoWHDhqhSpQqioqJM9gsKCsKtW7dw+fJl7Ny50ygMPksQBPz+++9wdXU1aH/vvfewbt062Nra\\\n",
       "Qi6XY+jQofjrr79KtIqXnJyM0aNHIyMjAx4eHnjvvfcQEhJSYud/0T2vRWVK4x9BiIiKgoGQqILT\\\n",
       "aDT4888/0aNHD/j4+GDr1q2YOHEioqKi8Msvv+DAgQPYsmUL5s6dW9ZDpQrCxcUFjx8/RrVq1fQ3\\\n",
       "uy4uLti4cSOioqKwd+9e2NvbF+saMpkMLi4usLW1LfWb4aysLCxcuBA7duzId+roO++8gydPnkCr\\\n",
       "1SI2NhbVqlUzOz3XyckJNWrUKNTWBxKJBOHh4ahbty5UKhWWLFmClStXGn3uXr16ITY2FrVr1y6x\\\n",
       "YBgZGQm5XA6pVAqpVAqFQlEi57UGpRkIn/09zF0YKW87EdHzwimjRBVc5cqVodPpMHjwYJw7dw6N\\\n",
       "Gzc26tOxY0c4Ozs/97FRxWBnZ4cff/wRvXr1goODQ743txWxkvHTTz9h0aJFWLBgAXx9fXH37l2j\\\n",
       "RWZ0Oh3OnTtn1Obo6Ijk5ORiL0pjb29fqKma7u7uuH37NoCnz4umpaVh27ZtGDduHDIyMop8XaVS\\\n",
       "aVSdpMIrzd93hj8iKi9YISSq4BYuXIioqCgsX77cZBgEAGdnZzx8+PD5DowqBEEQcPbsWQwZMgSO\\\n",
       "jo4VMvAV5ODBg/pKX2hoKOrWrWt0My4IAjp27Gh0bEZGBtasWaPvL4oiMjMzERYWVuCKqcUllUqh\\\n",
       "UqkwYsQIHDlyxKKq4ZQpU17In+nz8DymjBIRlQcMhEQV3LBhwwxWeiQqCrlcjjp16pT1MEqVr6+v\\\n",
       "wdf37t3DtGnTDNoEQcDPP/+MRo0aGdzcSyQSHDp0CHFxcUhLS8O5c+fQuXNnNGzYEP7+/li5cqVF\\\n",
       "ew8WVdOmTYtc6fP09MRnn31m1C6KYoV/5f7jRWkGNAZCIrIWDIREROXY/Pnz0a5du1LbMkCn0z2X\\\n",
       "qWs6nQ7Z2dkFhqfcG/7C0Gq1+OCDDxAYGIjTp0+bXUl06tSpRm2LFy82moLp4OCAkJAQXL58GT16\\\n",
       "9ICvry+GDBmCjz76CDqdDjdv3sTkyZNx7tw5pKamIiEhAePHj4efn1+p7+8nlUrNzgCoVKkSevbs\\\n",
       "ifbt28Pb2xteXl6YOHEiIiIiTK6USoXDQEhE1oKBkIioHPvkk09w9OhRREVFlcqekjk5OYiIiMi3\\\n",
       "T3p6Onr37o369esbbcqeKzk5GcOGDUP79u3x559/Qq1W6/fj++OPP+Ds7Ax7e3s4Ozvj119/Ndhe\\\n",
       "QRRFREREoF+/fvD390ffvn2RkJBQ4NgHDx6MpUuX4uLFi2jTpg2aNGliMkx6e3ujUaNGBm0ajQbR\\\n",
       "0dFGfaVSKRo1aoQdO3bgwYMH+OWXX9CyZUt4enqiatWqRvtAiqKI8PBwuLm5oU+fPoXa3sJSvXr1\\\n",
       "MggecrkcZ86cQUxMDP755x8cOXIEkZGRiI6OxsKFC7kHKRERFQoXlSEiqgA8PT1x/fp11K5du0TP\\\n",
       "K4oipk6dii1btph8PycnB5UqVdJX09q3b499+/bh1Vdf1ffJ3dYgd1uHY8eOQSaTwc/PD2lpaYiJ\\\n",
       "idEHtdTUVIwYMQKTJ0/GxIkT4ebmhqVLl+LGjRv6oHX//n0cOnQI0dHRsLOzMzkunU6Hbdu2GXx9\\\n",
       "+/ZtZGdnm5xCffr0aXh6eiItLQ0AYGtrW2D1LO8ei15eXvjwww9x/vx5oy0sRFHEtm3boFQqERgY\\\n",
       "iN9++w3Vq1eHVCpFTk4ONBoN5HI5FAqFxdXeQYMGYcmSJYiJiUFQUBC2b9/O6eKlyJKN6YmIKiJW\\\n",
       "CImIKgh/f39UrVq1xM+7fft2pKammnxvzpw5RlMr+/TpY1CJGzdunFFAysnJwd27dxEdHW2yahcX\\\n",
       "F4fPP/8cY8eOxbVr14ymkqakpODdd981O+bMzEzk5OQYtMlkMrNVMTs7O5w5cwYeHh6wtbVF06ZN\\\n",
       "oVKpzJ7fFEEQ0KdPH9SrV89sH1EUcf78eQQEBMDOzg4KhQL29vZwcXGBo6MjqlSpgg0bNhS4J6Ip\\\n",
       "Hh4e+O+//5CQkIB9+/YxDJYyThklImvBQEhEVIEsWbKkxM+pVqvx+eefG7WLoojvvvvOqD0zM9Ng\\\n",
       "auS+ffssuq4oivk+U7h161azzxPmnVJqY2ODYcOG5Vv1q1evHnbs2IG33noLY8eOtShQ2djY4Pff\\\n",
       "fy9ylU8URWi1WsTExGDYsGGoWbMmrl27VuTrK5VK7iX4nDAQEpG14JRRIqIKpFmzZqVy3pUrV+Lb\\\n",
       "b781CEkxMTHIysoy6ps3yD37PGBebm5uUKvVJiuQEokENjY20Gg0JoOhRqMxOwX0+PHjEAQBoihC\\\n",
       "IpFg7dq1GDhwYL6fURAENG/eHH5+fhAEweJn7GrXrg13d3fExcVZdLwoinj06BE6deqEM2fOoEaN\\\n",
       "GhadJz86nQ6pqalITk6GIAj6qavp6emoW7duiV/vRcQpo0RkLVghJCKqQEprNcucnBwMHTpUX5HT\\\n",
       "6XRo1aqVyb55w5S57RCaNGmCBw8eIDo6Gt999x1sbW31N9kqlQpz587F7du3cfHiRQQEBBgdL5fL\\\n",
       "jaaFAk8XuVm4cCEEQYBMJsOgQYMwZMiQQgU8iUQCDw8PuLq6WrwCp0QiQfXq1S06NpcgCMjMzMTZ\\\n",
       "s2eLdZ68cnJyMHnyZP00VR8fH1SvXh1VqlSBj49PvtNdyRArhERkLVghJCKqQK5cuVJq5967dy+S\\\n",
       "kpKgUqkQERGByMhIs32fnTLp7Oxsss/06dPh5OQEABg/fjzi4uLw66+/QhAEjB49Gh9++CHs7e1R\\\n",
       "vXp17NmzBy1atEB8fLz++KpVq0ImM/xrSqfTYf/+/Xj48CGAp88GfvTRR0W6Ic+tmBVHZmamRcfl\\\n",
       "Xlsmk8HV1RXVqlUr1jieJYoiZs6ciYULF+ZbtSUiInoWAyERUQWRmZmJTz/9tNTOn56eDi8vL3h6\\\n",
       "eiIqKspsqJBKpQYBzN3d3aiPTCZD79699V8rlUp88803+OqrryCKolE1z9fXF7GxsQgNDcW2bdtQ\\\n",
       "q1YtdOzYUf+8nFarxa1bt/Dmm2/ixo0b0Gq1kEqlGD58eLGn0Wo0GiQkJEAURXh6ehYYFtVqNe7c\\\n",
       "uVPk60gkEgQFBWHUqFHw9fWFr69voQOhKIr5ht6srCx4enoiJSWlyOMi0zhllIisBQMhEVE5dvLk\\\n",
       "SaSmpuL06dP45ZdfEBsbW6rXU6vVBe5LqFQqDW6Ao6KijPq4urqaXHglb8XvWYIgwM/PDx999JFB\\\n",
       "u1arxXfffYfPP//cIKRKpVJ8+umnxb4Zf/DgAV577TVER0fDw8MD+/fvR506dUz2FUURQUFBFq0S\\\n",
       "6uXlhT/++AOVKlUq9JjVajWmTJmC27dvY+nSpahVq5ZRn6ysLKhUqlLdA9EaMRASkbVgICQiKsfa\\\n",
       "tGlT1kMw4uvra/D13bt3jfr4+PiU2PXUajVmz55tVLF0cHCAt7d3sc+/cuVK/RTUiIgI1KtXD+vX\\\n",
       "r8fgwYMN+mm1WjRv3hyXLl2y6Dru7u5wc3MrdHjIycmBn5+fPnDXrl0bU6ZMwbx58/TnyMzM1C/c\\\n",
       "QyWLgZCIrAUXlSEiqmDK+uZz0aJF+v9Wq9VIT0836hMYGFhi10tNTTW52mndunUt3uT9Wc9ucA88\\\n",
       "fU5x5MiR+k3sc/30008Wh0EACAsLK/SzfVqtFjVq1DCovoqiiG+++QZ+fn7Ys2cPli9fDmdnZ4uf\\\n",
       "Z6T8cVEZIrIWrBASEVUgUqkUAwYMQGxsLA4fPmx2n77SUqVKFXTq1En/dUxMjMkxvPnmmyV2zYyM\\\n",
       "DJPt7733XoHHarVaSCQSszfsoigiJibGqN3U6qam+gGAra0thg4dCqlUip9//hnZ2dkm+6WkpOD8\\\n",
       "+fMFVn0fPXqEBg0aIDk52eT7YWFh6NatW77noOJjhZCIrAUrhEREFUiNGjXw888/Y+/evXj11VcL\\\n",
       "7C+VStG+fXts2LABBw4cwPfff4/atWtbdG2lUomHDx8a3PyaCk4ymaxE90tUqVQm27t06WL2GJ1O\\\n",
       "h2+++QYvvfQSFi1aZHKfQwDIzs42Od2ycuXKcHBwMGibOnUqPD099V/b2Nhg8eLFSEtLw48//oiV\\\n",
       "K1ciIiLC7KI0oiiiX79++gVscseZkpKCgwcPYtCgQXB2dka1atXMhkEiIqKSxgohEVEF0qNHD/3K\\\n",
       "m5s3b4aLi4vZKuGgQYOwadMmg7bOnTtj0qRJ0Gq1CAwMxOXLlwt1XUEQ8OTJE5Org9aoUQMPHjyA\\\n",
       "IAioWbMmLl++DFtbW30fnU4HURQt3urB2dkZSqXSYNqojY2N2aCYk5MDd3d3faiaNGkSHBwcMHr0\\\n",
       "aKO+zZo1M/r+yWQyhIWFGfVVKBRmq4S5PDw8UL16df0ziXnFxcXBw8NDP9XVXFClsscKIRFZC1YI\\\n",
       "iYgqkAsXLhhUl8wRBAFr1qwx+75UKsXFixfRqFGjQl1XIpFALpebbD9y5Ag+/vhj7Nu3D7dv34a9\\\n",
       "vb3+/YSEBPj5+cHR0RHDhw+3aH88QRDQtGlTo/Gbe3bu7bffNqqwffvtt0bBb+PGjbhx44bR8UuW\\\n",
       "LLH42cSsrKwCV2kFnv7sSiIMCoIAV1dX+Pj4wMHBoUSeqaSn+AwhEVkL/s1BRFSBXLx4ERkZGdDp\\\n",
       "dDh79qzZ6qBSqTSo0pkikUgQEhKCl19+ucDrarVas9MYq1Spgv/973945ZVXjALJpEmTEB4ejszM\\\n",
       "TPz2229o1aqVRUHIz8/P4Ovs7Gy88847BlVDURRx/vx5rF+/3uj4sLAwPHjwAKIoQqvVYv369Rg6\\\n",
       "dKhRP6lUarKSWBiZmZnw9vY2OY22NEilUty9exePHz9GaGgoUlJS8OTJE/Tr18/iaiz9PwZCIrIW\\\n",
       "DIRERBVIRkYG5s6di1u3buHzzz8328/d3b1QN6lSqRTHjh3DxIkTCwwR5oKjIAhm9xfMW4G7cOEC\\\n",
       "/v333wLH9SxRFHHo0CGjtq1bt8LDwwPDhw/HypUrMX36dHTq1MlkSNZoNHj55Zcxbtw4NGrUCMOH\\\n",
       "DzfZr0WLFvnulWjOli1b4ODggCdPnhT5WEstWLAANWvW1H8tCAKcnJywZcuWcrldSUXDQEhE1oKB\\\n",
       "kIioglm8eDH69++P//77z2wfNze3Qp9PIpHg+++/x9atW6FUKs32u3nzJsaPH29Q4dNqtflu0j5i\\\n",
       "xAijtgULFhR6bABw4sQJREdHm3wvLS0Nv/32GyZMmIBvvvnG5BYYuWJjY7Fq1SrcuHHDbGX1nXfe\\\n",
       "KdLYRFFEp06dMHDgwOf6PKAgCBg3bpzJ9yQSCb755huzx1HhMQwSkTVgICQiqmCys7Nx+/btfIOY\\\n",
       "ua0PzJFIJOjZsydmzpyZb6VwxYoVqFSpEr766iv89NNPmDNnDg4fPmw2DI0dO1a/CE4uR0fHQo8r\\\n",
       "OTkZHTt2LLCfTqez6PnEvG7evGkQFnU6HaKjo3Hp0iUkJCQYheHOnTvj8OHDxb5uUdWsWTPfSmb9\\\n",
       "+vUZVIiIqFC4yigRUQVUUDUqIiICOp2uSIuMiKKIWrVqwdbW1mhT9mc9fvwY06dPh0QigUwmQ8eO\\\n",
       "HdGxY0eTi87IZDLExsbC19cXycnJkMvl+Prrrws1nqysLHh4eBQp6CkUCqjVaourdcuWLYOXlxe6\\\n",
       "d++Oy5cvY8SIEQbbUjg5OWHSpEkICgrCwoULceTIEYuuUxwSiQQHDhzIt4+trS0EQTCqhD7vfSsr\\\n",
       "Mq4ySkTWgoGQiOgFlJaWhtDQUNSoUaNQ/ZOTkzF//nz8+uuvBgu15Een0yEnJwe2trb5VqtUKhUS\\\n",
       "EhJw5coVODs7F2pMoiiiUqVK+VZB87Kzs8P777+PkydP4sSJE4U+7llZWVn45JNP8Mknn5h8PyUl\\\n",
       "BXPnzoWLiwuysrKeS8BSKBTw8PBATk4OlEolFi1aBB8fn3yPkUgkkEgk3NaiGBgIichaMBASEb2g\\\n",
       "WrZsibi4uAJvVn/77TeMGjWqSOErl7OzM7777rsCK5FSqdRo64j8/Pzzz0hNTS10f5VKhenTp+P9\\\n",
       "999HcnIy/P39kZKSUujji0IURbi7u6NatWo4e/ZskcZpCRsbG7z//vvo3r07vL294ezsXKgxshpY\\\n",
       "PAyERGQt+AwhEdELKiEhAWPGjMm3z/bt2zF8+PAih0FBEFC/fn1cu3bNYKXLkjJt2rQi9Z80aRLG\\\n",
       "jx8PhUKBSpUqYeHChSb7SSQS+Pr6GuyVWFRdu3bF+fPnsXfvXsTFxWHXrl1o2LAhnJycoFKpULVq\\\n",
       "VVSpUsXo2UlLpaen48SJE1AqlXBwcChU+EhOTi6RZyqtGVcZJSJrwUBIRPQCW716tdGWDbl0Oh0G\\\n",
       "DBhQ5HPa2NhgzZo1uHLlCipXrlzcIRrJyMhAUlKSQZsgCPlWId944w2DFVKHDx8OOzs7gz42NjYI\\\n",
       "DQ3FvXv3cOHChSJv4i6Xy3Hw4EHs3r0bjo6OkEqlUCqV6NatG65evYrk5GQkJSUhIiICERERiImJ\\\n",
       "QbNmzYp0DVNEUcSuXbvQrVs37N+/v1D7HHbp0qXY17V2DIREZC0YCImIXnDBwcG4deuWUXtiYqLB\\\n",
       "gimFoVQq8e+//2LkyJGF3vxcFEWkpqZi27ZtmD17Nnbs2IGMjAyTfbVaLd59913k5ORAEATY2dlh\\\n",
       "2bJlePLkCRISEjBq1CiTx+VdBEcmk+Gnn37S36jL5XLExsaiWrVqkEqlqFOnDlxdXQs1fldXV+zY\\\n",
       "sQOZmZno1KlToY4RBAHOzs44cOAAqlWrVuzAoNPpcOfOHfTo0QMBAQEICwsz22/IkCE4f/58sa5H\\\n",
       "DIREZD34DCER0QtOFEXUq1cPO3bsQPfu3fXtmzZtMntM7g3us8+hSSQS9OjRI99Nz7VaLVJTUxEa\\\n",
       "GoqjR49i8+bNuHLlCjIzMw3OJQgCHB0dMWTIEIwcORK2trbYvn075s+fj5SUFIiiCAcHB1y6dAm1\\\n",
       "atXSH7dixQps2bLF6Lm9GTNmYP369XB3d9e39erVC926dUNUVBR27twJFxcXg+t37NgRW7duNfv5\\\n",
       "W7dujSNHjsDGxsbs5y2Is7MzNmzYgDfffBNxcXHQarX65/ssecZPFEXcv38fvr6+cHd3x4QJE9C5\\\n",
       "c2ekpqZizZo1+Oeffwqc/vsihJcpU6bA1ta2rIdBRPRCYCAkIrICoiiiR48eqFGjBv7++2/ExMRg\\\n",
       "5syZRv0kEgnkcjlsbGyg0Wig0Wj0K1Xa2dmhd+/eJiuDGRkZmDVrFlatWoX09PQCw44oikhJScHK\\\n",
       "lSuxcuVKk31cXV2NViSVyWRwcHAwCoT79+9Hx44dce7cOdja2kIUReTk5GDs2LGoXbs2vL29jc7f\\\n",
       "oUMHo0AolUrx7rvvYtGiRcUKgs9q1aoV1qxZgzVr1uD8+fOIiooq8j6RpiQkJGD27NmYPXt28QdJ\\\n",
       "RrioDBFZCwZCIiIr8uDBA7z00ksm31Mqlahbty6aNWsGqVSKGzdu4O7du0hNTYVEIkFAQADq168P\\\n",
       "URT1N8A5OTn44YcfMGnSpCJPPy1IcnKyUZtarUZiYqJRu06nw7Vr1+Dn54chQ4bAwcEBly9fhiiK\\\n",
       "mDx5MmrVqmVw067VahEXFwd7e3uo1Wq4ublh+fLleP311ws9FbawbGxs0KFDB/j7+2P58uVmAzCV\\\n",
       "LwyERGQtGAiJiEjPxsYG3t7eaNiwIfr164fMzEw8fvwYcrkc9evXR61atSCKIrRaLaKiotC5c2fc\\\n",
       "vXu3VMaSkpKCu3fvok6dOgCehr5PP/003+pabGwsFixYoP9aEAQcPHgQU6ZMwYQJE6BUKnHv3j3M\\\n",
       "mjULZ8+ehbe3N7799lv06tWryIvMFIVcLkf16tXRt29frFq1qtSuQyWHgZCIrAUDIRFRBSORSODm\\\n",
       "5oa0tDRkZmaW2HmzsrJw4cIFPHjwAJMmTcK7774LlUqlD0rPPleYlJSEHj16lFoYzL1O48aNMXPm\\\n",
       "TNSuXRtffPEFrl69WuRzZGRkmJ1aqdPp8Morr5RqGMwllUpRu3Zt7g9YQTAQEpG14CqjREQVjEql\\\n",
       "wpAhQ9CkSZMSn96o0+mQkJCADRs2wN7eHlKp1OjGWBAEaLXaUg2DubKysjBt2jT0798fV65cKfEw\\\n",
       "lZCQYHbF0+Iwt2iMra1tqe0PKAgCmjRpgr/++gtXr17FoUOHMG7cOLi7uz+XwPui4SqjRGQt+DcE\\\n",
       "EVEFk5aWhh07duD27dsG7VKpFA4ODpDL5cW+xr179/INEY6Oji/ETXDuNNSSdOfOHTRu3BgvvfQS\\\n",
       "jh49ql+UB3i6yXxBq4BawtvbGykpKQgJCUGfPn3QsGFDdOzYEcuXL0dcXBxSUlKwc+dOi/adJCKi\\\n",
       "FxsDIRFRBaPRaHD//n08fvxYX22SSqWoVasW3njjDVSpUqXY11Cr1flW43KfKXwR/PLLLyYXqrGE\\\n",
       "RqNB48aNcfXqVfz333/o2LEjXnvtNSQlJSEzMxPffPONQUAsLplMhsmTJyMiIgIODg4m+wiCAHt7\\\n",
       "e3Tv3h2bN28usWu/6FghJCJrwUBIRPSC8Pf3R9u2beHk5FTsc+VuJm+OIAj44osvIJMZPooukUig\\\n",
       "VCqhUCgqzE2yTqeDt7c3rl69Co1Gg7S0NGzcuBH9+/c3udJpfpKTkw2e6xRFEf/++y+8vLzQqFEj\\\n",
       "LF26tFhjValUGDFiBLZv346wsDBkZGTg22+/5ZTQUsBASETWgovKEBG9ALRaLa5fvw4fHx9ER0eX\\\n",
       "yDk//fRTrF692uz79erVQ8uWLXHlyhUAQNWqVTFo0CC0bdsWcXFxmD9/Pq5cuVJqz8yVpOzsbLz0\\\n",
       "0kuQSCQGFbyzZ88iPDy80Df8Tk5OEATBqLqanZ2Ne/fuFWuM69atw/Dhwxk+nhMuKkNE1oKBkIjo\\\n",
       "BREWFoaff/65xFYeXbt2LXx9ffHxxx/rn0vU6XTQaDSIj4/HuXPn0LJlSzRv3hxt2rRBu3bt4OLi\\\n",
       "og9VHTt2xMqVK7FmzRokJCRAq9Ua7F9YklMnS0reMT169AgJCQnw8PAo1PFyuRxVqlTBo0ePSnRc\\\n",
       "NWvWxIgRI0rkXC/CKqdffvllqf9DAwMhEVkLzjEhIpM0Gg0+/fRTNGzYEPb29vD29sbw4cMRFRVV\\\n",
       "4LHLly+Hr68vlEolWrZsiXPnzhm8n5WVhfHjx8PNzQ0ODg7o168fYmNjS+ujVGj//fcfVq1aVahp\\\n",
       "oDqdDhkZGSV2wy+KImbMmAF7e3vY2NjAxsYGSqUSjo6O8Pf3xzvvvIMjR46gZcuW6Nq1K9zd3SGT\\\n",
       "ySCRSCCTyeDp6YmZM2fqn3dMTk5GWloa0tLSkJiYiHHjxpm9kbaxsSk30yBXrFhh1Jbf9/jixYsl\\\n",
       "PoYxY8aU+Dkpf5wySkTWonz8bUtE5U5GRgZCQkIwY8YMhISE4K+//sLt27fRq1evfI/bvHkzJk2a\\\n",
       "hFmzZiEkJAQvvfQSunTpgri4OH2fjz76CDt27MDWrVtx9OhRREVFoW/fvqX9kSqkBg0a4N1338WT\\\n",
       "J0/Qtm3bMhlD7hYKoihCp9Ppq4QpKSm4evUqrly5YvaZQYlEArlcDjs7O9ja2uqDpUqlwrJly9Ct\\\n",
       "WzejYwRBQNWqVdGgQYNyEQqXLVtmVDlUq9XIyckx2b9SpUqoXbt2iY7h2LFjxT5H7s+PiIjoWWX/\\\n",
       "Ny0RlUsqlQr79+/HgAEDUKdOHbRq1QrLli3DxYsXER4ebva4BQsWYPTo0Rg5ciTq1auHVatWwc7O\\\n",
       "DmvXrgXwdNGNNWvWYMGCBejUqROaNWuGn3/+GadOncKZM2ee18ercCQSCdavX1/uKhE5OTm4fPmy\\\n",
       "RccKgoD33nvPqF0URTg5OaFTp05QqVTFHGHxpaSkGG0VIZFI8v1ZjBs3rkTHcPbs2WKFuYyMDPz1\\\n",
       "11+YMGFCCY7qxcYKIRFZCwZCIiq05ORkCIIAZ2dnk++r1WpcvHgRwcHB+jaJRILg4GCcPn0awNPp\\\n",
       "dBqNxqBPQEAAqlevru9DplWvXh3z588v62EYOXr0KLKzsy069pVXXjF5M52Tk4OxY8fir7/+gq2t\\\n",
       "rdH7UqkUAwYMwMaNG9G3b19IpVKLrl8YarUae/fuNWizsbHJ95qjR48u0TEkJCSgdu3aRX4+VBRF\\\n",
       "9OjRA/b29ujfvz9WrlxZouN6kTEQEpG14KIyRFQoWVlZ+PTTTzF48GCzz7PlLhzi6elp0O7p6Ylb\\\n",
       "t24BAGJiYiCXy41CpaenJ2JiYsxePzs72yB0pKSkWPhJKraPP/4YXl5eGDp0aFkPRS8zMxMtW7bE\\\n",
       "tWvXinysQqGAo6Oj0c8zMjISvr6+qF27NqKiouDt7a0PQ4IgYNu2bejRowcAYPDgwfpxqFSqUtn4\\\n",
       "/Y033sCTJ09gb29fqP65C+iU5AIu9+/fh52dHZRKJaKjo83+w0wujUYDBwcHqNXqEhuDtWHQIyJr\\\n",
       "wAohEQEANmzYAAcHB/3r+PHj+vc0Gg0GDBgAURTLrMIwb948qFQq/atatWplMo7y4M033yx32w9c\\\n",
       "v34dhw8fNvu+KIpmV4Xs2LGjUVtWVpa+AqdSqVCvXj2D9/39/Y2OsbW1xZo1a4oy7ELTaDSYOXNm\\\n",
       "ofqKoohBgwaV2mqeWVlZ8Pf3N/sMI/B0gaGWLVsyDBbD86wQstJIRGWJgZCIAAC9evXC5cuX9a/A\\\n",
       "wEAA/x8Gw8LCsH///nxXu3R3d4dUKjVaMTQ2NhZeXl4AAC8vL6jVaiQlJZntY8rUqVORnJysf0VE\\\n",
       "RFj4SSs+QRCwdu1aHDt2DM2bN4eNjU1ZDwkAEBwcjPT0dKN2rVaLYcOGwcvLCxMmTDB6Fm7s2LFG\\\n",
       "x2g0GoMA+Wz4EUURDx8+NDmGQYMGldpN9aJFi/DkyROT72m1WsTExGDZsmXw8PDA7t27S2UMuZKS\\\n",
       "knDp0iWD0KnT6ZCdnY07d+6gQYMGuHTpUqmO4UX3vAIhQyARlTUGQiICADg6OqJWrVr6l62trT4M\\\n",
       "3r17FwcOHICbm1u+55DL5WjWrBkOHjyob9PpdDh48CBat24NAGjWrBlsbGwM+ty+fRvh4eH6PqYo\\\n",
       "FAo4OTkZvKyZVCpFmzZtcPbsWcTHx6Nly5ZlPSTodDpUrlzZKPCtXr0aGzZsQEJCApYvX47q1asb\\\n",
       "BDxvb2+jc2m1WoSGhkIURWRlZemnHOf66aefTI7BxsYGDg4ORu1SqRQtW7ZEnz59LP7dyf18UVFR\\\n",
       "+lVXk5OT0a9fPyiVSlSuXBnvv/8+Hj9+bNH5iyL3z2h8fDx27dqFBg0awM7ODnZ2dqhTpw5u3rxZ\\\n",
       "6mN40T2PQFiepn4TkfXiM4REZJJGo0H//v0REhKCnTt36isgAODq6qrfqLxz587o06ePfvXCSZMm\\\n",
       "YcSIEQgMDESLFi2waNEipKenY+TIkQCeTv8bNWoUJk2aBFdXVzg5OeH9999H69at0apVq7L5sOVY\\\n",
       "7jNrEokEzs7OGDduHCZNmgSFQgHg6U2rSqXC4cOH4e7ujoyMjLIcLlJTU/H666/jn3/+gSAI0Gq1\\\n",
       "+Oqrrwz6REZGolq1arh16xbs7Oxw8uRJk+caMmQItmzZgsWLFxstWnPgwAGzY/jxxx/1zxUCT7+H\\\n",
       "oaGhcHd3B/C0wnj9+nU0b94cWVlZRfp82dnZqFKlCuzs7PRh9Xlu9G5jY4O1a9di4MCBkEgkuHv3\\\n",
       "LgYOHGiyMkvP36lTp9CzZ0/91+3atcPkyZPN9t+wYQOAp7+TrBQSUVlhICQikyIjI/HPP/8AABo3\\\n",
       "bmzw3uHDh9GhQwcATxe6SEhI0L83cOBAxMfHY+bMmYiJiUHjxo2xd+9eg4VmFi5cCIlEgn79+iE7\\\n",
       "OxtdunQxufk3wSDgpaWlYdq0aTh27Bj27Nlj0M/W1hYtWrTAkSNHnvMIje3atQt37txB7dq1kZ2d\\\n",
       "bTQ9GHi6uJC3tzdeffVVs4EwJCQEL7/8MuLj443eS0tLg06nM7lP4cCBA7Fnzx78/fffCAwMxN69\\\n",
       "e/X/gAE8DdENGjRAcnIyXFxcLArRJRG8ZTIZAgIC4OnpievXryMuLi7frSVq1qyJmzdvGkwR9vDw\\\n",
       "KPN/BHhRFaXyl9svMTERO3fu1Lfv3LnTbCDMPWb27NnFGygRUTExEBKRSb6+voWqfISGhhq1TZgw\\\n",
       "Id/9zpRKJZYvX47ly5cXZ4hW699//4VGozF6drBXr16lHgilUikmTpyI3r174/PPPze5Ybooili8\\\n",
       "eDGWLFkC4OnPOzU11ahfRkYGtm3bZvZaOp0O0dHRZt/LysqCnZ2d0XuCIOCXX37BunXr8r2hl8vl\\\n",
       "OHv2LBo2bGi2T2lRKBQ4dOgQWrRoAUEQkJSUhD59+hgs5vQsuVyOGzduGP3My8M+jS8qSwKhq6sr\\\n",
       "goKC9O3t2rUz2T+3Wi2RSDBr1qxijpSIqHgYCImIKhidToeYmBijlVbzVnJLmp2dHWJjY/XP6B0+\\\n",
       "fBh+fn4IDw836nvjxg0AT6c41qhRw2SVr7gyMjJMBsJchbmZr1evHiQSicnKnFQqNbsyanENGzYM\\\n",
       "rVq10lc4XV1dMXLkSJw4ccLkP8Q0b97coMr57BglEkmpjdOaWRIIg4KCsGPHjgL75z5nqtPpjK4h\\\n",
       "CAKOHz+ONm3aFHHERESW4aIyREQV0P37943aClr0p7g2bdpksGCLRCLBF198YbKvWq2GIAiQSqVo\\\n",
       "0KBBqYynJEKQRCIxuUqrRCLRP6dZ0gRBwKBBg4ymu+a32M3LL79s9ly523NQySrNRWX69esHqVRq\\\n",
       "8MqVu2AUEdHzwgohEVE5VpQFSxo1avRcFzgBgOHDh2P48OH59lm9ejVWr179nEZUdEVdWKY0CIKA\\\n",
       "fv365fsMoTl5F9yhkmFJhbCw/vjjD7PnyG9/SSKi0sAKIRERERERkZVihZCIiIgoj9KsEJryvKv7\\\n",
       "RES5GAiJiIiI8njegZCIqKwwEBIRERHlwUBIRNaCgZCIiIgoDwZCIrIWDIREREREeTAQEpG14Cqj\\\n",
       "REREREREVooVQiIiIqI8WCEkImvBQEhERESUBwMhEVkLBkIiIiKiPBgIichaMBASERER5cFASETW\\\n",
       "goGQiIiIyAQGPSKyBlxllIiIiIiIyEqxQkhERESUB6eMEpG1YCAkIiIiyoOBkIisBQMhERERUR4M\\\n",
       "hERkLRgIiYiIiPJgICQia8FASERERJQHAyERWQsGQiIiIqI8GAiJyFpw2wkiIiIiIiIrxQohERER\\\n",
       "UR6sEBKRtWAgJCIiIsqDgZCIrAUDIREREVEeDIREZC0YCImIiIjyYCAkImvBQEhERESUBwMhEVkL\\\n",
       "rjJKRERERERkpVghJCIiIsqDFUIishYMhERERER5MBASkbVgICQiIiLKg4GQiKwFAyERERFRHgyE\\\n",
       "RGQtGAiJiIiI8mAgJCJrwVVGiYiIiIiIrBQrhERERER5sEJIRNaCgZCIiIjIBAY9IrIGDIRERERE\\\n",
       "ebBCSETWgoGQiIiIKA8GQiKyFgyERERERHkwEBKRtWAgJCIiIsqDgZCIrAW3nSAiIiIiIrJSrBAS\\\n",
       "ERER5cEKIRFZCwZCIiIiojwYCInIWjAQEhEREeXBQEhE1oKBkIiIiCgPBkIishYMhERERER5MBAS\\\n",
       "kbXgKqNERERERERWihVCIiIiojxKs0Joqr9cLkd2dnaRzkNEVBJYISQiIiLKIzcQFvZlCZlMBonk\\\n",
       "6a2YWq3G6NGjS/IjEBEVCgMhERERUR6lGQhFUYQoitBoNNBqtahbty4AYPXq1aXxUYiI8sUpo0T0\\\n",
       "QtNqtfjyyy/LehhEVIK0Wm2pX8OSKaOnTp1Cz5499e3t2rXD5MmTCzw+NDQUACCVSos+UCKiYmIg\\\n",
       "JKIX3vO4eSSiF4slgTAxMRE7d+7Ut+/cubPAQHjr1i1kZmYCAHJyciwcLRGR5RgIiYiIiEqAq6sr\\\n",
       "goKC9F+3a9euwGNyp4t6eHiU2riIiPLDQEhERESUhyUVwqCgIOzYsaNI1wAAR0dHxMXFFX2QREQl\\\n",
       "gIvKEFGhvPfeexAEAYsWLSqw7/Lly+Hr6wulUomWLVvi3LlzBu9nZWVh/PjxcHNzg4ODA/r164fY\\\n",
       "2NhSGjkRUdGV5qIyCQkJ+mMUCgVSUlJK4yMQERUKAyERFejvv//GmTNn4O3tXWDfzZs3Y9KkSZg1\\\n",
       "axZCQkLw0ksvoUuXLgb/+v3RRx9hx44d2Lp1K44ePYqoqCj07du3ND8CEVGRlGYgfHZ6qKenJ3x8\\\n",
       "fODj44MpU6aU9McgIioQAyER5SsyMhLvv/8+NmzYABsbmwL7L1iwAKNHj8bIkSNRr149rFq1CnZ2\\\n",
       "dli7di0AIDk5GWvWrMGCBQvQqVMnNGvWDD///DNOnTqFM2fOlPbHISIqtNLcgzBXeHi4/jV//vwS\\\n",
       "GjkRUeExEBKRWTqdDsOGDcPkyZNRv379Avur1WpcvHgRwcHB+jaJRILg4GCcPn0aAHDx4kVoNBqD\\\n",
       "PgEBAahevbq+DxFRWXse+xCaehERPW9cVIaIzPrmm28gk8nwwQcfFKp/QkICtFotPD09Ddo9PT1x\\\n",
       "69YtAEBMTAzkcjmcnZ2N+sTExJg9d3Z2NrKzs/Vf85kbIiIiouJjhZCIAAAbNmyAg4OD/nX06FEs\\\n",
       "XrwY69atK/aUqJIwb948qFQq/atatWplPSQieoGVZoWQiKg8YSAkIgBAr169cPnyZf3r1KlTiIuL\\\n",
       "Q/Xq1SGTySCTyRAWFoaPP/4Yvr6+Js/h7u4OqVRqtGJobGwsvLy8AABeXl5Qq9VISkoy28eUqVOn\\\n",
       "Ijk5Wf+KiIgo1uclIsoPAyERWQtOGSUiAE/3wXJ0dNR/PWbMGPTs2dOgT5cuXTBs2DCMHDnS5Dnk\\\n",
       "cjmaNWuGgwcPonfv3gCePod48OBBTJgwAQDQrFkz2NjY4ODBg+jXrx8A4Pbt2wgPD0fr1q3Njk+h\\\n",
       "UEChUBTnIxIRFZol+xASEVVEDIREZJKbmxvc3NwM2mxsbODl5YU6dero2zp37ow+ffroA9+kSZMw\\\n",
       "YsQIBAYGokWLFli0aBHS09P1IVKlUmHUqFGYNGkSXF1d4eTkhPfffx+tW7dGq1atnt8HJCLKBwMh\\\n",
       "EVkLBkIiKpb79+8jISFB//XAgQMRHx+PmTNnIiYmBo0bN8bevXsNFppZuHAhJBIJ+vXrh+zsbHTp\\\n",
       "0gUrVqwoi+ETEZnEQEhE1oKBkIgKLTQ0tFBtEyZM0FcMTVEqlVi+fDmWL19egqMjIio5DIREZC24\\\n",
       "qAwREREREZGVYoWQiIiIKA9WCInIWjAQEhEREeXBQEhE1oKBkIiIiCgPBkIishYMhERERER5MBAS\\\n",
       "kbVgICQiIiLKg4GQiKwFVxklIiIiIiKyUqwQEhEREeXBCiERWQsGQiIiIqI8GAiJyFowEBIRERHl\\\n",
       "wUBIRNaCgZCIiIgoDwZCIrIWDIREREREeTAQEpG14CqjREREREREVooVQiKqkERRLOshEFE5V5z/\\\n",
       "n0hNTS105S81NdXi6xARlTUGQiKqkFJTUzFnzpyyHgYRlWOpqalQqVRFOiYwMBA7d+5EtWrViny9\\\n",
       "wMDAIh9DRFTWBJH/zE5EFZBOp0NUVBQcHR2t+vmdlJQUVKtWDREREXBycirr4ZQZfh+e4vfhKVEU\\\n",
       "kZqaCm9vb0gkRX86Zs6cObhw4UKRjgkMDMSsWbOKfC0iorLGQEhEVIGlpKRApVIhOTnZqgMAvw9P\\\n",
       "8ftARERFxUVliIiIiIiIrBQDIRERERERkZViICQiqsAUCgVmzZoFhUJR1kMpU/w+PMXvAxERFRWf\\\n",
       "ISQiIiIiIrJSrBASERERERFZKQZCIiIiIiIiK8VASEREREREZKUYCImIyhGNRoNPP/0UDRs2hL29\\\n",
       "Pby9vTF8+HBERUUVeOzy5cvh6+sLpVKJli1b4ty5cwbvZ2VlYfz48XBzc4ODgwP69euH2NjY0voo\\\n",
       "xVLQZ8lr69atCAgIgFKpRMOGDbF7926D90VRxMyZM1G5cmXY2toiODgYd+/eLc2PUGzz5s1D8+bN\\\n",
       "4ejoiEqVKqF37964fft2gce9iN8LIiIqPQyERETlSEZGBkJCQjBjxgyEhITgr7/+wu3bt9GrV698\\\n",
       "j9u8eTMmTZqEWbNmISQkBC+99BK6dOmCuLg4fZ//a+/+Q6q6/ziOv2zde/vhzGpx7yxsUlm0FW79\\\n",
       "kIt/FBUZk8oFFVFarG219I/2lxtRDlYrKigMqn+qgUiSo9FqI2haZqXF7QcVSgxXDqrbD5q3sXQ6\\\n",
       "7+f7x5eddXU3nXmv187zAQe8n/P+nM95H+4/Lz7Xez/77DMdP35cZWVlqqys1L1797Ro0aJIt/Sf\\\n",
       "daWX5124cEHLli3T6tWrdfXqVWVnZys7O1s3b960arZv366ioiLt379fFy9e1ODBg5WZmanm5uZo\\\n",
       "tfWfVVZWKi8vTzU1NTp16pRaW1s1d+5c/fHHH2HnvKrPAgAQQQYAENMuXbpkJJmGhoawNdOnTzd5\\\n",
       "eXnW67a2NpOUlGS2bt1qjDGmsbHROBwOU1ZWZtXU1dUZSaa6ujpyN98NnfXS3pIlS0xWVlbIWHp6\\\n",
       "ulmzZo0xxphgMGg8Ho/ZsWOHdb6xsdG4XC5z+PDhCHQQGQ8fPjSSTGVlZdgauzwLAEDPYYcQAGJc\\\n",
       "IBBQXFycEhMT//V8S0uLLl++rDlz5lhj/fr105w5c1RdXS1Junz5slpbW0NqJkyYoOTkZKsmFnSl\\\n",
       "l/aqq6tD6iUpMzPTqr99+7b8fn9IzZAhQ5Senh5TvXcmEAhIkoYNGxa2xi7PAgDQcwiEABDDmpub\\\n",
       "VVBQoGXLlikhIeFfax4/fqy2tja53e6QcbfbLb/fL0ny+/1yOp0dQuXzNbGgK7205/f7O+3977Gu\\\n",
       "XjPWBINBrV+/XhkZGXrnnXfC1tnhWQAAehaBEAB6UUlJieLj462jqqrKOtfa2qolS5bIGKN9+/b1\\\n",
       "4l2it+Xl5enmzZsqLS3t7VsBALxi+vf2DQCAnS1YsEDp6enW65EjR0r6Jww2NDSooqIi7O6gJL3x\\\n",
       "xht67bXXOnxj6IMHD+TxeCRJHo9HLS0tamxsDNklfL4mFnSll/Y8Hk+nvf899uabb4bUpKWl9eDd\\\n",
       "R0Z+fr5OnDihs2fPatSoUS+sfdWfBQCg57FDCAC96PXXX9fYsWOtY+DAgVYY/Pnnn/XTTz9p+PDh\\\n",
       "L7yG0+nUlClTVF5ebo0Fg0GVl5fL6/VKkqZMmSKHwxFSc+vWLf36669WTSzoSi/teb3ekHpJOnXq\\\n",
       "lFWfkpIij8cTUvP06VNdvHgxpnpvzxij/Px8fffdd6qoqFBKSkqnc17VZwEAiKDe/lYbAMA/Wlpa\\\n",
       "zIIFC8yoUaPMtWvXzP37963jzz//tOpmzZpl9uzZY70uLS01LpfLfPPNN6a2ttZ88sknJjEx0fj9\\\n",
       "fqtm7dq1Jjk52VRUVBifz2e8Xq/xer1R7a8rOuslJyfHfP7551b9+fPnTf/+/c3OnTtNXV2dKSws\\\n",
       "NA6Hw9y4ccOq2bZtm0lMTDTHjh0z169fNwsXLjQpKSmmqakp6v111aeffmqGDBlizpw5E/I+ePbs\\\n",
       "mVVjl2cBAIgcAiEAxJDbt28bSf96nD592qobPXq0KSwsDJm7Z88ek5ycbJxOp5k+fbqpqakJOd/U\\\n",
       "1GTWrVtnhg4dagYNGmQ++OADc//+/Sh09d+9qJcZM2aYlStXhtQfOXLEpKamGqfTad5++23zww8/\\\n",
       "hJwPBoNm48aNxu12G5fLZWbPnm1u3boVjVa6Ldz74NChQ1aNXZ4FACBy4owxpnf2JgEAAAAAvYn/\\\n",
       "IQQAAAAAmyIQAgAAAIBNEQgBAAAAwKYIhAAAAABgUwRCAAAAALApAiEAAAAA2BSBEAAAAABsikAI\\\n",
       "AAAAADZFIAQA9AkHDhzQ3LlzI77OyZMnlZaWpmAwGPG1AADobQRCAEDMa25u1saNG1VYWBjxtebN\\\n",
       "myeHw6GSkpKIrwUAQG8jEAIAYt63336rhIQEZWRkRGW9VatWqaioKCprAQDQmwiEAICoefTokTwe\\\n",
       "j77++mtr7MKFC3I6nSovLw87r7S0VPPnzw8ZmzlzptavXx8ylp2drVWrVlmv33rrLW3evFm5ubmK\\\n",
       "j4/X6NGj9f333+vRo0dauHCh4uPjNXnyZPl8vpDrzJ8/Xz6fT/X19d1vFgCAPoBACACImhEjRujg\\\n",
       "wYP68ssv5fP59PvvvysnJ0f5+fmaPXt22Hnnzp3T1KlTu7Xmrl27lJGRoatXryorK0s5OTnKzc3V\\\n",
       "ihUrdOXKFY0ZM0a5ubkyxlhzkpOT5Xa7VVVV1a01AQDoKwiEAICoev/99/Xxxx9r+fLlWrt2rQYP\\\n",
       "HqytW7eGrW9sbFQgEFBSUlK311uzZo3GjRunTZs26enTp5o2bZoWL16s1NRUFRQUqK6uTg8ePAiZ\\\n",
       "l5SUpIaGhm6tCQBAX0EgBABE3c6dO/XXX3+prKxMJSUlcrlcYWubmpokSQMGDOjWWpMnT7b+drvd\\\n",
       "kqRJkyZ1GHv48GHIvIEDB+rZs2fdWhMAgL6CQAgAiLr6+nrdu3dPwWBQd+7ceWHt8OHDFRcXp99+\\\n",
       "+63T67a1tXUYczgc1t9xcXFhx9r/zMSTJ080YsSITtcEAKAvIxACAKKqpaVFK1as0NKlS/XVV1/p\\\n",
       "o48+6rA79zyn06mJEyeqtra2w7n2H/P85ZdfeuQem5ubVV9fr3fffbdHrgcAQKwiEAIAomrDhg0K\\\n",
       "BAIqKipSQUGBUlNT9eGHH75wTmZmps6dO9dh/NixYzp69Kjq6+u1ZcsW1dbWqqGhQXfv3n2pe6yp\\\n",
       "qZHL5ZLX632p6wAAEOsIhACAqDlz5ox2796t4uJiJSQkqF+/fiouLlZVVZX27dsXdt7q1av1448/\\\n",
       "KhAIhIxnZWVp+/btmjhxos6ePau9e/fq0qVLKi4ufqn7PHz4sJYvX65Bgwa91HUAAIh1ceb579kG\\\n",
       "ACBGLV68WO+9956++OILSf//HcK0tDTt3r27R9d5/Pixxo8fL5/Pp5SUlB69NgAAsYYdQgBAn7Bj\\\n",
       "xw7Fx8dHfJ07d+5o7969hEEAgC2wQwgA6JMitUMIAICdEAgBAAAAwKb4yCgAAAAA2BSBEAAAAABs\\\n",
       "ikAIAAAAADZFIAQAAAAAmyIQAgAAAIBNEQgBAAAAwKYIhAAAAABgUwRCAAAAALApAiEAAAAA2BSB\\\n",
       "EAAAAABsikAIAAAAADZFIAQAAAAAmyIQAgAAAIBNEQgBAAAAwKb+B3mseE2N/wZsAAAAAElFTkSu\\\n",
       "QmCC\\\n",
       "\"\n",
       "  frames[19] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAjmtJREFUeJzs3XlYVNXjBvD3zgDDvsoqiqgoLrgr7rglmqWoqVnmkt+y3LPS\\\n",
       "LHctbdM0NSsrl9xbtFIxV8wNFTVzxx1Bdtlh1vv7w4f5OcwMMAMIOO/neeapOffcc88dKeflnHuO\\\n",
       "IIqiCCIiIiIiIrI4ksruABEREREREVUOBkIiIiIiIiILxUBIRERERERkoRgIiYiIiIiILBQDIRER\\\n",
       "ERERkYViICQiIiIiIrJQDIREREREREQWioGQiIiIiIjIQjEQEhERERERWSgGQiIiIiIiIgvFQEhE\\\n",
       "RERERGShGAiJiIiIiIgsFAMhERERERGRhWIgJCIiIiIislAMhEREZJYjR45AEAQcOXKksrtC5ez0\\\n",
       "6dOwsbHBvXv3nvq109LS4ODggD179jz1axMRWSIGQiIiKtbq1auxbt26yu6GWTZv3oyvvvqqsrsB\\\n",
       "ANBoNPjss88QGBgIW1tbNGvWDFu2bCn1+RkZGXjzzTfh6ekJBwcHdO/eHefOndOrt23bNowYMQJB\\\n",
       "QUEQBAHdunUzua8fffQRhg8fjoCAAJPPLSsPDw/873//w+zZs5/6tYmILJEgiqJY2Z0gIqKqq2nT\\\n",
       "pqhRo4beSKBGo4FCoYCNjQ0kkqr5+8UXXngBly5dwt27dyu7K5g5cyaWLFmCN954A23btsWuXbuw\\\n",
       "e/dubNmyBS+//HKx52o0GnTp0gX//vsv3n//fdSoUQOrV69GXFwcYmJiEBQUpK3brVs3xMTEoG3b\\\n",
       "trhw4QKaNWtm0ijuhQsX0LJlS5w4cQIdOnQw93bL5OrVq2jcuDEOHjyIHj16VEofiIgsBQMhEVEp\\\n",
       "5ObmwsHBobK7USmMBcLqoKoEwvj4eAQGBuLNN9/EypUrAQCiKCIsLAx37tzB3bt3IZVKjZ6/fft2\\\n",
       "DBs2DDt27MBLL70EAEhJSUGDBg3Qt29fbN68WVs3Li4ONWvWhEQiMevPbsqUKdi5cyfu3r0LQRDM\\\n",
       "u+FyEBISgpYtW2LDhg2V1gciIktQNX+lS0RUgeLj4zF27Fj4+flBJpMhMDAQb7/9NhQKBQBg3bp1\\\n",
       "EAQBUVFRGD9+PLy8vODv7689f/Xq1WjSpAlkMhn8/PwwYcIEZGRk6FwjNjYWgwcPho+PD2xtbeHv\\\n",
       "74+XX34ZmZmZ2jr79+9H586d4erqCkdHRzRs2BAffvhhif0vzXlyuRxz585F/fr1IZPJUKtWLUyf\\\n",
       "Ph1yuVyvvZ9//hnt2rWDvb093Nzc0LVrV/z9998AgDp16uDy5cuIioqCIAg6UxCNPUO4Y8cOtG7d\\\n",
       "GnZ2dqhRowZGjBiB+Ph4nTqjR4+Go6Mj4uPjERERAUdHR3h6euK9996DWq0u8TPYtWsX+vXrp/0z\\\n",
       "rFevHhYuXKhzbrdu3bB7927cu3dP2/c6deoYbXP06NHaekVf8+bNK7FPJfVXqVRi/Pjx2jJBEPD2\\\n",
       "22/jwYMHOHnyZLHn//LLL/D29sagQYO0ZZ6enhg6dCh27dql8+daq1atMo3Y7ty5Ez169NALg8Y+\\\n",
       "hzp16mD06NHa94X//Rw7dgyTJ0+Gp6cnXF1dMW7cOCgUCmRkZGDkyJFwc3ODm5sbpk+fDkO/m37u\\\n",
       "uefw559/GjxGRETlx6qyO0BE9DQlJCSgXbt22uexgoODER8fj19++QV5eXmwsbHR1h0/fjw8PT0x\\\n",
       "Z84c5ObmAgDmzZuH+fPno1evXnj77bdx/fp1fPPNNzhz5gyOHz8Oa2trKBQKhIeHQy6XY9KkSfDx\\\n",
       "8UF8fDz++usvZGRkwMXFBZcvX8YLL7yAZs2aYcGCBZDJZLh58yaOHz9ebP9Lc55Go0H//v1x7Ngx\\\n",
       "vPnmm2jUqBH+++8/LFu2DDdu3MDOnTu1defPn4958+ahY8eOWLBgAWxsbBAdHY1Dhw6hd+/e+Oqr\\\n",
       "rzBp0iQ4Ojrio48+AgB4e3sb7d+6deswZswYtG3bFosXL0ZSUhKWL1+O48eP4/z583B1ddXWVavV\\\n",
       "CA8PR2hoKL744gscOHAAX375JerVq4e333672M9h3bp1cHR0xLRp0+Do6IhDhw5hzpw5yMrKwuef\\\n",
       "fw7g8XNwmZmZePDgAZYtWwYAcHR0NNrmuHHj0KtXL52yyMhIbNq0CV5eXtqy1NTUYvtWyMnJCTKZ\\\n",
       "DABw/vx5ODg4oFGjRjp12rVrpz3euXNno22dP38erVq10gt67dq1w3fffYcbN24gJCSkVP0qTnx8\\\n",
       "PO7fv49WrVqVua3Cn/358+fj1KlT+O677+Dq6ooTJ06gdu3a+OSTT7Bnzx58/vnnaNq0KUaOHKlz\\\n",
       "fuvWrbFs2TJcvnwZTZs2LXN/iIjICJGIyIKMHDlSlEgk4pkzZ/SOaTQaURRF8aeffhIBiJ07dxZV\\\n",
       "KpX2eHJysmhjYyP27t1bVKvV2vKVK1eKAMQff/xRFEVRPH/+vAhA3LFjh9F+LFu2TAQgpqSkmNT/\\\n",
       "0py3ceNGUSKRiP/8849O+Zo1a0QA4vHjx0VRFMXY2FhRIpGIAwcO1LkfUfz/z0IURbFJkyZiWFiY\\\n",
       "3nUOHz4sAhAPHz4siqIoKhQK0cvLS2zatKmYn5+vrffXX3+JAMQ5c+Zoy0aNGiUCEBcsWKDTZsuW\\\n",
       "LcXWrVsX/yGIopiXl6dXNm7cONHe3l4sKCjQlvXr108MCAgosT1DYmNjRRcXF/G5557T+TkAUKrX\\\n",
       "Tz/9pNOPunXr6l0jNzdXBCB+8MEHxfbFwcFBfP311/XKd+/eLQIQIyMjDZ5n7M/OmAMHDogAxD//\\\n",
       "/FPvGABx7ty5euUBAQHiqFGjtO8L//sJDw/X+Tnq0KGDKAiC+NZbb2nLVCqV6O/vb7CPJ06cEAGI\\\n",
       "27ZtK3X/iYjIdJwySkQWQ6PRYOfOnXjxxRfRpk0bveNFp8i98cYbOs91HThwAAqFAlOnTtUZqXnj\\\n",
       "jTfg7OyM3bt3AwBcXFwAAPv27UNeXp7BvhSOlO3atQsajabU91Ca83bs2IFGjRohODgYqamp2lfh\\\n",
       "4hyHDx8G8HhqoEajwZw5c/RGnsx5duzs2bNITk7G+PHjYWtrqy3v168fgoODtZ/Pk9566y2d9126\\\n",
       "dMHt27dLvJadnZ3237Ozs5GamoouXbogLy8P165dM7nvReXm5mLgwIFwc3PDli1bdH4O9u/fX6pX\\\n",
       "eHi49pz8/HztaOGTCj+n/Pz8YvtT1vNLKy0tDQDg5uZW5rbGjh2r83MUGhoKURQxduxYbZlUKkWb\\\n",
       "Nm0M/pkX9qG0I7JERGQeThklIouRkpKCrKysUk8/CwwM1HlfuCdbw4YNdcptbGxQt25d7fHAwEBM\\\n",
       "mzYNS5cuxaZNm9ClSxf0798fI0aM0IbFYcOGYe3atfjf//6HDz74AD179sSgQYPw0ksvFfv8V2nO\\\n",
       "i42NxdWrV+Hp6WmwjeTkZADArVu3IJFI0Lhx41J9HiUx9vkAQHBwMI4dO6ZTZmtrq9dHNzc3PHr0\\\n",
       "qMRrXb58GbNmzcKhQ4eQlZWlc+zJ5zTN9cYbb+DWrVs4ceIEPDw8dI4VnVZaGnZ2dgaf3ywoKNAe\\\n",
       "r8jzTSWWw3N7tWvX1nlf+LNfq1YtvXJDf+aFfajMhW2IiCwBAyERkRFl+ZL95ZdfYvTo0di1axf+\\\n",
       "/vtvTJ48GYsXL8apU6fg7+8POzs7HD16FIcPH8bu3bsRGRmJbdu2oUePHvj777+NrjhZmvM0Gg1C\\\n",
       "QkKwdOlSg20U/UJeWYpbVbM4GRkZCAsLg7OzMxYsWIB69erB1tYW586dw4wZM0wacTVk+fLl2LJl\\\n",
       "C37++We0aNFC73hiYmKp2nFxcdH+DPn6+uLw4cMQRVEn4Dx8+BAA4OfnV2xbvr6+2rpPKu35pVUY\\\n",
       "fksTygsZC4/G/nwNlRtqo7APNWrUKHVfiIjIdJwySkQWw9PTE87Ozrh06ZJZ5xdu0n39+nWdcoVC\\\n",
       "gTt37uht4h0SEoJZs2bh6NGj+OeffxAfH481a9Zoj0skEvTs2RNLly7FlStX8PHHH+PQoUPaKZ3G\\\n",
       "lHRevXr1kJ6ejp49e6JXr156r8IRvHr16kGj0eDKlSvFXq+0IzTGPp/CsvLa5PzIkSNIS0vDunXr\\\n",
       "MGXKFLzwwgvo1auXwWmOpo4u/fPPP3jvvfcwdepUvPrqqwbr+Pr6luq1bds27TktWrRAXl4erl69\\\n",
       "qtNWdHS09nhxWrRogXPnzumF3ejoaNjb26NBgwYm3acxwcHBAIA7d+4YPJ6dna1XVjjiXN4K+1B0\\\n",
       "IR4iIipfDIREZDEkEgkiIiLw559/4uzZs3rHS5om16tXL9jY2GDFihU6dX/44QdkZmaiX79+AICs\\\n",
       "rCyoVCqdc0NCQiCRSLTT/tLT0/XaLwwFhqYGFirNeUOHDkV8fDy+//57vbr5+fnaFVMjIiIgkUiw\\\n",
       "YMECvaDx5P05ODjobathSJs2beDl5YU1a9bo3MPevXtx9epV7edTVoUjTE/2UaFQYPXq1Xp1HRwc\\\n",
       "Sj2F9OHDhxg6dCg6d+6sXanUEHOeIRwwYACsra11+iiKItasWYOaNWuiY8eOOv24du0alEqltuyl\\\n",
       "l15CUlISfvvtN21ZamoqduzYgRdffNHg84XmqFmzJmrVqmXwvw8AeluM7N27FwUFBRWyNURMTAxc\\\n",
       "XFzQpEmTcm+biIj+H6eMEpFF+eSTT/D3338jLCxMuyXDw4cPsWPHDhw7dkxnW4SiPD09MXPmTMyf\\\n",
       "Px99+vRB//79cf36daxevRpt27bFiBEjAACHDh3CxIkTMWTIEDRo0AAqlQobN26EVCrF4MGDAQAL\\\n",
       "FizA0aNH0a9fPwQEBCA5ORmrV6+Gv79/sdsPlOa81157Ddu3b8dbb72Fw4cPo1OnTlCr1bh27Rq2\\\n",
       "b9+Offv2oU2bNqhfvz4++ugjLFy4EF26dMGgQYMgk8lw5swZ+Pn5YfHixQAeL///zTffYNGiRahf\\\n",
       "vz68vLy0C9Q8ydraGp9++inGjBmDsLAwDB8+XLvtRJ06dfDOO++Y+8emo2PHjnBzc8OoUaMwefJk\\\n",
       "CIKAjRs3GgwlrVu3xrZt2zBt2jS0bdsWjo6OePHFFw22O3nyZKSkpGD69OnYunWrzrFmzZqhWbNm\\\n",
       "AMx7htDf3x9Tp07F559/DqVSibZt22Lnzp34559/sGnTJp1plDNnzsT69etx584d7b6JL730Etq3\\\n",
       "b48xY8bgypUrqFGjBlavXg21Wo358+frXOvo0aM4evQogMfPzebm5mLRokUAgK5du6Jr167F9nXA\\\n",
       "gAH4/fff9aa3AsDVq1fx/PPPo3///khISMDy5cvh4uKCEydOYMuWLRg+fLjJn40x+/fvx4svvshn\\\n",
       "CImIKlplLG1KRFSZ7t27J44cOVL09PQUZTKZWLduXXHChAmiXC4XRfH/l803tDWFKD7eZiI4OFi0\\\n",
       "trYWvb29xbffflt89OiR9vjt27fF119/XaxXr55oa2sruru7i927dxcPHDigrXPw4EFxwIABop+f\\\n",
       "n2hjYyP6+fmJw4cPF2/cuFFs30t7nkKhED/99FOxSZMmokwmE93c3MTWrVuL8+fPFzMzM3Xq/vjj\\\n",
       "j2LLli219cLCwsT9+/drjycmJor9+vUTnZycRADaLQKKbjtRaNu2bdr23N3dxVdffVV88OCBTp1R\\\n",
       "o0aJDg4Oevc3d+5csTR/NR0/flxs3769aGdnJ/r5+YnTp08X9+3bp9efnJwc8ZVXXhFdXV1FAMVu\\\n",
       "QREWFmZ0CwlD2y2YSq1Wi5988okYEBAg2tjYiE2aNBF//vlnvXqFW3LcuXNHpzw9PV0cO3as6OHh\\\n",
       "Idrb24thYWEGf0YLP0Nz7+PcuXMiAL1tSwCI06ZNE4cMGSLa2dmJvr6+4sqVK8U1a9aI9vb24v/+\\\n",
       "9z9RFI3/91PYr6Jbphj6Wbh69aoIQOe/GSIiqhiCKFbAPA8iIiKqtnr27Ak/Pz9s3LhRWyYIAubO\\\n",
       "nYt58+ZV+PWnTp2Ko0ePIiYmhiOEREQVjM8QEhERkY5PPvkE27Zt024l8jSlpaVh7dq1WLRoEcMg\\\n",
       "EdFTwGcIiYiISEdoaCgUCkWlXNvDwwM5OTmVcm0iIkvEEUIiIiIiIiILxRFCIiIiKhGXHCAiejZx\\\n",
       "hJCIiIiIiMhCMRASERERERFZKE4ZJaJqSaPRICEhAU5OTlyJkIh0iKKI7Oxs+Pn5QSIx/Xffs2bN\\\n",
       "wtmzZ006p02bNli0aJHJ1yIiqmwMhERULSUkJGDt2rWV3Q0iqqLmz5+PuLg4+Pv7m3TerFmz8PHH\\\n",
       "H5t8vX379gEAQyERVTsMhERULTk5OQEARweJyKjC/0+YwtSRQXPPNfT/rsKFe9avX4/Ro0frHff2\\\n",
       "9kZiYqLZ/SMiMoSBkIiqJQZBIipJWf8/Udrzy3sF1vXr12v/3draGkqlEgCQlJRUrtchIgIYCImI\\\n",
       "iIj0CIJgUqA0NRQ+Wb/odQ4dOmSwPwDg6uqKjIwMk65FRFQcBkIiIiKiIswJhNHR0ejTp4+2LCws\\\n",
       "DDNnzizXfrVv375c2yMiYiAkIiIiKsLUQAgAGRkZ2sVlgMcLzZRHIJw1a5b23yMjI8vcHhHRkxgI\\\n",
       "iYiIiIowJxC6uroiNDRU+z4sLKzM/Vi/fr121dPw8PAyt0dEVBQDIREREVER5gTC0NDQch3Be3K1\\\n",
       "0ZCQEI4OElGFMH23ViIiIiKqUE+GwaCgIFy8eLFyO0REzywGQiIiIqIiCkcIS/sy1bBhwyCRSCCR\\\n",
       "/P9XMYlEAldXV50wKAgC8vLy4O/vD39/f6xcubK8bpGICAADIREREZGeig6E27dvhyiKOttPiKKI\\\n",
       "zMxMTJgwQacsPj5e+5o0aVK53B8RUSE+Q0hERERUhLlBr7TKezN7IiJzMRASERERFVHRgZCIqKpg\\\n",
       "ICQiIiIqgoGQiCwFnyEkIiIiIiKyUBwhJCIiIiqCI4REZCk4QkhEpbZkyRIIgoCpU6cWW2/Hjh0I\\\n",
       "Dg6Gra0tQkJCsGfPHp3joihizpw58PX1hZ2dHXr16oXY2NgK7DkRkWkqepVRIqKqgoGQiErlzJkz\\\n",
       "+Pbbb9GsWbNi6504cQLDhw/H2LFjcf78eURERCAiIgKXLl3S1vnss8+wYsUKrFmzBtHR0XBwcEB4\\\n",
       "eDgKCgoq+jaIiEqFgZCILAUDIRGVKCcnB6+++iq+//57uLm5FVt3+fLl6NOnD95//300atQICxcu\\\n",
       "RKtWrbSbKYuiiK+++gqzZs3CgAED0KxZM2zYsAEJCQnYuXPnU7gbIqKSMRASkaVgICSiEk2YMAH9\\\n",
       "+vVDr169Sqx78uRJvXrh4eE4efIkAODOnTtITEzUqePi4oLQ0FBtHUPkcjmysrJ0XkREFYWBkIgs\\\n",
       "BQMhERVr69atOHfuHBYvXlyq+omJifD29tYp8/b2RmJiovZ4YZmxOoYsXrwYLi4u2letWrVMuQ0i\\\n",
       "IiIiMoCBkIiMiouLw5QpU7Bp0ybY2tpWal9mzpyJzMxM7SsuLq5S+0NEzzaOEBKRpeC2E0RkVExM\\\n",
       "DJKTk9GqVSttmVqtxtGjR7Fy5UrI5XJIpVKdc3x8fJCUlKRTlpSUBB8fH+3xwjJfX1+dOi1atDDa\\\n",
       "F5lMBplMVtZbIiIqFQY9IrIUHCEkIqN69uyJ//77DxcuXNC+2rRpg1dffRUXLlzQC4MA0KFDBxw8\\\n",
       "eFCnbP/+/ejQoQMAIDAwED4+Pjp1srKyEB0dra1DRFQVcHSQiCwBRwiJyCgnJyc0bdpUp8zBwQEe\\\n",
       "Hh7a8pEjR6JmzZraZwynTJmCsLAwfPnll+jXrx+2bt2Ks2fP4rvvvgMA7T6GixYtQlBQEAIDAzF7\\\n",
       "9mz4+fkhIiLiqd4fEZExpoQ9hkIiqs4YCImoTO7fvw+J5P8nG3Ts2BGbN2/GrFmz8OGHHyIoKAg7\\\n",
       "d+7UCZbTp09Hbm4u3nzzTWRkZKBz586IjIys9OcUiYgKMRASkaVgICQikxw5cqTY9wAwZMgQDBky\\\n",
       "xGgbgiBgwYIFWLBgQTn3joiofDAQEpGl4DOEREREREREFoojhERERERFcISQiCwFAyERPfOefMaR\\\n",
       "iKo/jUZT4ddgICQiS8FASETPNIlEgtmzZ1d2N4ioHC1cuLDCQyEDIRFZCgZCIiIioiIYCInIUjAQ\\\n",
       "EhERERXBQEhEloIP1hAREREREVkojhASERERFcERQiKyFAyEREREREUwEBKRpWAgJCIiIiqCgZCI\\\n",
       "LAUDIREREVERDIREZCkYCImIiIiKYCAkIkvBVUaJiIiIiIgsFEcIiYiIiIrgCCERWQoGQiIiIqIi\\\n",
       "GAiJyFIwEBIREREVwUBIRJaCgZCIiIioCAZCIrIUDIREREREBjDoEZEl4CqjREREREREFoojhERE\\\n",
       "RERFcMooEVkKBkIiIiKiIhgIichSMBASERERFcFASESWgoGQiIiIqAgGQiKyFAyEREREREUwEBKR\\\n",
       "pWAgJCIiIiqCgZCILAW3nSAiIiIiIrJQHCEkIiIiKoIjhERkKRgIiYiIiIpgICQiS8Epo0RERERF\\\n",
       "FAbC0r7Ko/0npaSk6B23sbEpr9sjItJiICQiIiIqoqIDYUm8vLx0+gIASqUSs2bNKvdrEZFlYyAk\\\n",
       "IiIiKqKiA6EoitpXUSkpKTr1NBoNunfvDgD4+OOPzb8pIiIDGAiJiIiIqpCAgAAAus8mHjp0qLK6\\\n",
       "Q0TPOC4qQ0RERFSEOYvKREdHo0+fPtrysLAwzJw50+Rr5+fnAwB8fHxMPpeIyFQMhERERERFmBMI\\\n",
       "MzIysG/fPm35vn37zAqERERPEwMhERERURHmBEJXV1eEhoZqy8PCwsy6tp2dHfLz85GYmGjW+URE\\\n",
       "pmAgJCIiIirCnEAYGhqKyMjIMl/73r178PLy0llw5smpqERE5YmBkIiIiKiIit6YftiwYdixY4dO\\\n",
       "mUQigbOzMzIyMnTalkgk0Gg0AICPPvrI5GsRERWHq4wSERERPWXbt2/X23ZCFEVkZmYCAJKTk7Xl\\\n",
       "hWHQ2toaixYterodJaJnHkcIiYiIiIqo6BFCQ/sPPsnT07PEOkRE5YGBkIiIiMgAc4IeEVF1w0BI\\\n",
       "REREVERFjxASEVUVDIRERERERTAQEpGlYCAkIiIiKoKBkIgsBQMhERERUREMhERkKbjtBBERERER\\\n",
       "kYXiCCERERFRERwhJCJLwUBIREREVAQDIRFZCgZCIiIioiIYCInIUjAQEhERERXBQEhEloKBkIiI\\\n",
       "iKgIBkIishRcZZSIiIiIiMhCMRASEVVhhaMUT76cnZ0ru1tPVUJCAqRSqcHPoqSXTCYrsf1BgwaZ\\\n",
       "1XZ5vGQyGebMmYOlS5fC2dn5qVyTSoefKxFZCk4ZJSKqZlq3bl3ZXXiq4uLioNFozDrX09Oz2OOi\\\n",
       "KOLUqVNmtV0eFAoFvvjiC9jY2CAnJ6fS+kH6OGWUiCwFAyERUTUikUjw22+/VXY3nqp///3X7HPX\\\n",
       "rVtX7PHs7GwkJiaa3X55yM/PR35+fqX2gfQxEBKRpWAgJCKqwho0aIDc3FwUFBSgVq1a2L17N9zc\\\n",
       "3Cq7W0+Vh4dHscelUilEUdQbRaxduzZ69epV7LmDBg2CKIpl7iM9exgIichS8BlCIjJq8eLFaNu2\\\n",
       "LZycnODl5YWIiAhcv369xPN27NiB4OBg2NraIiQkBHv27NE5Looi5syZA19fX9jZ2aFXr16IjY2t\\\n",
       "qNuo1q5fv44HDx4gNTUV58+fh5+fX2V36anr27evwXIbGxvExcVBqVRCpVJBrVYjPj4eGzZswKVL\\\n",
       "l3D37t1i2718+TIOHjxoVp/GjRuH2NhYfP7555BKpWa1QVUbnyEkIkvBQEhERkVFRWHChAk4deoU\\\n",
       "9u/fD6VSid69eyM3N9foOSdOnMDw4cMxduxYnD9/HhEREYiIiMClS5e0dT777DOsWLECa9asQXR0\\\n",
       "NBwcHBAeHo6CgoKncVtUzdjb22PWrFk6Zf7+/sjLy4O/v7/2C7lEIoGfnx9ee+01NGnSpNgv6f/+\\\n",
       "+y9CQkLM6s+RI0ewZs0a1K9fH++99x7y8/Ph6OhoVlsVwdraGuPGjcNbb70FKytOBCIiouIxEBKR\\\n",
       "UZGRkRg9ejSaNGmC5s2bY926dbh//z5iYmKMnrN8+XL06dMH77//Pho1aoSFCxeiVatWWLlyJYDH\\\n",
       "o4NfffUVZs2ahQEDBqBZs2bYsGEDEhISsHPnzqd0Z/Q0KZVKZGZmlmlq5sKFC5GZmYnIyEgkJSUh\\\n",
       "Li7OrJG53NxcNGvWDC1atDCrP7Vr10ZYWJhOmbW1NVJTUyGRVP5fqd26dYNcLseaNWvwzTffIDs7\\\n",
       "m6HQTBwhJCJLUfl/exFRtZGZmQkAcHd3N1rn5MmTes9thYeH4+TJkwCAO3fuIDExUaeOi4sLQkND\\\n",
       "tXUMkcvlyMrK0nlR1Td8+HDIZDK4urrC0dERcrnc7LacnZ0RHh4OLy8vk8+9fPkyXFxc4OjoiP/+\\\n",
       "+8/sPkRFRRksl8lk+OCDD8xutzzMmDEDhw8f1gkntra2OHLkSOV1qhpjICQiS8FASESlotFoMHXq\\\n",
       "VHTq1AlNmzY1Wi8xMRHe3t46Zd7e3tqVHAv/WVwdQxYvXgwXFxftq1atWubeChlR3ourjB49Glu3\\\n",
       "btW2m5eXh+eff75cr1EaFy5cQEhISJl/iSCRSBAQEGD0+Ny5cystGGzZsgVLliwxeKxTp07w9/d/\\\n",
       "yj2q/hgIichSMBASUalMmDABly5dwtatWyvl+jNnzkRmZqb2FRcXVyn9qIrUajVycnKgVqvNOv/u\\\n",
       "3bto2LAhPD098d1335VLn/Ly8rB+/Xq98jNnzhR7Xn5+fpn2HTRkyZIl5RJ2hwwZUuwXfxsbmwr7\\\n",
       "RYVEIoGdnR0cHR1ha2sLa2tr2NnZoVu3bsjJycHLL79c7PmXLl2Ck5NThfTtWcYwSESWgIGQiEo0\\\n",
       "ceJE/PXXXzh8+HCJIw0+Pj5ISkrSKUtKSoKPj4/2eGGZsTqGyGQyODs767zoMUEQoFAooFQqTTpP\\\n",
       "FEVERUWhYcOGuHHjBtLS0jBhwoRymY47bNgwg+U1atQwes4vv/wCBwcH1K5dG15eXiWGwtzcXOzc\\\n",
       "uRMZGRnF1ps5c2aJ/S2OIAgIDg7G5s2bS6x78uTJcgsIgiBgwIAByMrKgkqlQl5eHrKzs5Gfnw+F\\\n",
       "QoG8vDwcPnwYDg4OJbbl4uKCuLg4TJgwoVz6Zgk4QkhEloKBkIiMEkUREydOxO+//45Dhw4hMDCw\\\n",
       "xHM6dOigt5T//v370aFDBwBAYGAgfHx8dOpkZWUhOjpaW4dMI5FI4ObmBltbW5POy8/Px48//giV\\\n",
       "SqVTXprRNLlcbnRVWFEU8ffffxs8tmHDBoPlGo0Gw4YN0147LS0Np0+fNnr95ORkuLi4YODAgfDy\\\n",
       "8kJOTo7Rus2bN8fevXtRs2ZN7fYpW7duRVRUFH766ScMHDgQ9erVQ0BAAHr16oVt27YhISEB2dnZ\\\n",
       "yM7Ohlwux9WrV0u1aIyfnx+OHTtm8p8F8DiASKVSuLu7Y+HChVAoFNi5cyecnJzKJXC4uLjg66+/\\\n",
       "LnM7RET0bOHSY0Rk1IQJE7B582bs2rULTk5O2mf8XFxcYGdnBwAYOXIkatasicWLFwMApkyZgrCw\\\n",
       "MHz55Zfo168ftm7dirNnz2qnIgqCgKlTp2LRokUICgpCYGAgZs+eDT8/P0RERFTKfT4LzAkMdnZ2\\\n",
       "WLZsGSQSCXbu3AlBELBs2TK4uLgUe96ePXvw0ksvQalUIiAgAAcOHECdOnW0x+/cuWNwtFIqlaJT\\\n",
       "p04G28zKytIbETx79izat2+vV1cURQQEBGinyCqVSrzwwgvYt28fZDKZwfb79OmDBw8e6JV37doV\\\n",
       "o0ePNnarZunYsSPy8vKQmZmJX3/9FTNnzkRKSorBura2tpg6dSree+89uLq6QiKRVOhoE0eySo8b\\\n",
       "0xORpeAIIREZ9c033yAzMxPdunWDr6+v9rVt2zZtnfv37+Phw4fa9x07dsTmzZvx3XffoXnz5vjl\\\n",
       "l1+wc+dOnYVopk+fjkmTJuHNN99E27ZtkZOTg8jISLNGVch8giDA3d0dP/30E9LT05GWloZRo0YV\\\n",
       "e45cLkdERATy8/OhUqlw69YtBAYGwsnJCW+88QZWrFiB1157zeAX5EaNGhn94mwoyBnbkP7gwYN6\\\n",
       "o5P//PMP5s2bV2zfnyZBEODq6oqxY8fi4cOHmDFjhs72D9bW1li2bBlyc3OxePFieHh4QCqVMlhU\\\n",
       "IZwySkSWQhDLe1k5IqKnICsrC0uXLi3xi5hEIsHs2bOfUq+efRs2bCgxNEqlUmg0Gr2ppz4+PoiP\\\n",
       "jzc69bJJkya4cuUKAKBWrVq4d++ewT9fT09PpKam6pVLJBLk5eUZHSWsTKIo4uDBg3jvvfdga2uL\\\n",
       "H3/8EY0bN66UvjwL4WXGjBkl/gJp/vz5yMzMNPl54z59+mDfvn3o06cPrK2tS3WOUqlEZGQkwsPD\\\n",
       "ERkZadL1iIgqG6eMEhFRqb377rsl1jG22mliYiK6d++Ow4cPGwyFly5dwtGjR6FUKtGjRw+jwcXY\\\n",
       "IjIajQbOzs44dOgQ2rVrB6lUWiU2iwceh7BevXrhxIkTAAB7e/tK7hGVhFNGichSVI2/KYmIqMpL\\\n",
       "TU01ODJniqNHj0ImkyE9PV3vmCAICAsLQ69evYoNcsWFKYVCgc6dO8PGxgbW1tbw9PTEvXv3ytTn\\\n",
       "8mRvb1/qMJiRkYEpU6Zg9erVZm8pQubjlFEishQcISQiohKJooiGDRuWS1sqlQq1a9cudmXQ4pw+\\\n",
       "fRqNGjUqcTVUjUaD1NRUNG/eHI8ePapWX9pzcnLg6empXQH2o48+QmpqKqRSaZna5VMipccRQiKy\\\n",
       "FBwhJCKiEk2cONHgqJ658vPzzd58vmHDhsjOzkbnzp1LNSU0Ozu7TEFIFEU8fPgQt27dMrvPphoz\\\n",
       "ZozOdiAZGRl47bXXytwuAyERERXFQEhERMXKy8vDN998U65tBgYGlun5PgcHB/zzzz9QqVTYsGFD\\\n",
       "sSM0MpnM7Gup1Wr4+/vDz88P9evXh6OjI/Ly8sztdqkVPmv4pK1btyIrK0uvXKlUYtu2bVi/fj0U\\\n",
       "CkWx7VaVZyqrA04ZJSJLwb8ZiIioWGfOnCnXkSV/f3/cuHGjXNoSBAGvvfYa8vPzjW66/sknn5jd\\\n",
       "/tKlS5GQkKB9n5+fj7p16xZ7jiiKZR5JfHKblifb9fX1RWpqKkRRhEqlwpIlS2BnZ4eXX34Zo0eP\\\n",
       "RmBg4FMbxXzWMRASkaVgICQiomI1aNDApPqurq7YuHEjLl++jF9//RWDBg1CmzZtMGnSJKSkpCAu\\\n",
       "Lq7cR6pkMhkmTpyI+Ph4ODo6Anj8hb5Dhw6YMmWK2e3u3btXrywpKclooD1//jxcXFxgZ2eHt956\\\n",
       "y+zrbt261WB5Xl4ePD09IZPJYGNjg5kzZ+osOPPw4cMyL/xDjzEQEpGlYCAkIqJi+fr64sUXXyyx\\\n",
       "niAI+Oijj5Ceno4RI0agcePGGDRoEH799VecOXMGK1asQI0aNSq0r35+fsjOzkZOTg6ys7Nx4sSJ\\\n",
       "Mn1ZHz58uMHyFi1a6DzjJ4oiJk+ejFatWiE7OxsKhQLffvstfvvtN4Pny+VydOrUCR4eHpg+fbre\\\n",
       "CKybm1uxW3wolUqDo7aCIMDOzq40t0YlYCAkIkvBQEhERCX6448/cP/+fbRv3x42NjZ6x/38/JCc\\\n",
       "nIxFixZViS/HDg4OcHBwKHM7o0ePNriyZ35+Ptzd3bFjxw789ttvqFGjhsEpq8YWgvH29saJEyeQ\\\n",
       "np6Ozz//HJ07d9ar88UXX6B79+4m9ffNN9+Ek5OTSeeQYQyERGQpuO0EEZEFKnzOzZRtDGrVqoWT\\\n",
       "J08CeDzCdf/+fWRmZiIoKAguLi4V1dVKZW1tjY0bN+KVV17RO5adnY2hQ4cWe35+fj7UarXO55yV\\\n",
       "lYXMzEydeqdOnYJGo9GbSnvo0CHUqVOnxL0UbW1tceDAAXTq1KmkW3omVhpduHAhn5UkIionHCEk\\\n",
       "IrJAcrkciYmJZocDmUyGoKAgtGnT5pkNg4WGDRuGDz74wOzzi24qbyjISCQSo6NMN2/ehLW1tcFj\\\n",
       "EokEa9asQV5eXqnCIJUeRwiJyFIwEBIRWSCZTAZPT89K+SKr0WiQl5cHhUJRJUerRFGEQqGAUqkE\\\n",
       "8Dh0LViwAM2bNze5LQcHB71RPxcXF70QvXLlSqN/FlZWVrh69arecT8/P+Tk5GDcuHEMJBWAgZCI\\\n",
       "LAUDIRGRBRIEweCzgBVt1KhRsLa2hoODA2QyGezt7TF9+nRkZWVBo9Fop7IW/vvTdvz4cdjZ2UEm\\\n",
       "k8HW1hZ79+6FRqOBlZUVPv3001K3I5FI4OLigk8//VRvWq4gCEhNTcXEiRPRuXNnXLlyBePGjSu2\\\n",
       "vXr16uHOnTto164dWrZsiTNnziA+Pp4LyFQgBkIishR8hpCIiJ6Kl156Cb/++qtOWUFBAT7//HN8\\\n",
       "8cUX2iCmUCigVqthZWWFxo0bY+XKlWjVqpVJzzs+KS0tDbt370b37t1Rq1Yto/UePHigs7iLRqNB\\\n",
       "//79cevWLdSsWRO+vr4QBKHYoBoSEoK//voL3t7eEATB6FRQKysro/smGhMQEIDo6GiTziHzmRL0\\\n",
       "GAiJqDrjCCEREZklISEBt2/fLtVI3sOHD/XC4JNEUUReXh4ePXqE3NxcFBQUICcnB6dPn0a7du1g\\\n",
       "bW0Ne3t71KpVCzVr1tSOMHp5eeHEiRNG2z127Bi8vLwwatQo1K5dG+3btzfa31atWumVqVQqXLhw\\\n",
       "AaIowt7evth7nD9/Pi5evIjatWtr9wm0suLvXasrjhASkaVgICQiIpPI5XIEBgaiZs2aqF+/Pt5/\\\n",
       "//1i62s0GtSpU6dM1xRFEfn5+Xjw4AESEhK0zyCmpKSgU6dOGDZsGHJzc3XOKSgoQFhYmM4iLtHR\\\n",
       "0ahTp45eKMzJyUFKSoreda2srNCtWzdYWVnBz8/P6Chl7dq1MWfOHKP9V6vVVfJ5SSIiIgZCIiIy\\\n",
       "SKPRQKVSQa1WQ6PRoKCgAJs2bYKTkxPu3r0L4HFQW7VqldE2RFGEl5cXFApFhfZ1+/bt8PHx0a7o\\\n",
       "KYoiWrdubXBFz/v376N+/fo6dY09w3fx4kU4OzsDAOzt7VG/fn29OhKJBNevXzfaN1EUERUVheef\\\n",
       "fx6TJ0/Gw4cPTb4/evo4QkhEloKBkIiIdOTm5mLMmDHw9/eHv78/goODUa9ePbi6umLEiBHa1TcL\\\n",
       "FbcfXL169ZCWllbRXQbweJRvypQpSElJwYIFC3DlyhWjdW/fvg0HBweMHTsWAwcOxC+//KJz3MHB\\\n",
       "AdHR0WjUqJFO+a5du/TaOnDgAGxtbYvt21tvvYXIyEh8/fXX8PPzg6urK5KTk43WL3yOsrxVdDB/\\\n",
       "1lRUGIyKijLYjqFRaiKiisaHG4iILIAoipDL5RAEAdbW1npbIQCPn5cbPnw4fv31V53pjUlJScW2\\\n",
       "7enpabD89u3buHPnTtk6bqKffvoJ+/fvx82bN0usK5fL8eOPP2rfC4IAd3d3REVFoUmTJgbPadCg\\\n",
       "Ab788kvMnj0bdnZ2xdZ90oMHD3TeZ2ZmwtfXFzdv3kRgYKDOsfT0dERGRqJLly7FLoJjClEUMXjw\\\n",
       "YOzcuZMbupdSRS4q061bN+2/Ozg4aKc7e3l5cWoxET11DIRERM+4rKws9O/fH6dOnYJKpYJEIkG9\\\n",
       "evUwZMgQtGvXDgkJCfjqq69w7do1s76MDhw40GD5kSNHythz0xUUFCA2Ntas+7CxscH169fh4eFR\\\n",
       "bL1p06bhnXfeMSksWFtbIz8/X6dco9Ggc+fOuHfvnnbxGVEUUVBQAB8fH7i7u5t8D8ZMmTIFv//+\\\n",
       "e7m1ZwmexiqjT/6cctopEVUWBkIiomeYWq1GREQEjh49qv3yqVarce3aNSxcuLBcrtGuXTuD5YMG\\\n",
       "DcLYsWPNalMQBNSoUQOiKCI1NbVU9Qu/UJs7wuLj41NiGHzyeqZ4/fXX8dVXX+mVp6ena7fYKGzX\\\n",
       "19cXPj4+Bkdxiyq81+L6o9FosHLlSpP6S+YFwujoaPTp00dbHhYWhpkzZxo9z8bGBgqFolR/1kRE\\\n",
       "FYX/ByIiqsKOHDmCmzdvQqVSmXV+cnIyzp49W6ZpaCV9KU5ISDBY7urqisOHD0Mmk0EQBEilUri5\\\n",
       "uaFBgwZwdXU12p6fnx/y8vKQnJyMlJQU3Lx5s9g+uLi4oHPnzmjSpEmZRlkiIiLMPrckn3/+ucEv\\\n",
       "/Y0bN4aNjY1OWeH+hSXJzc1Fr169EBoaisTERKP1kpOTOQ3RDOYsKpORkYF9+/ZpXx9++KHBti9f\\\n",
       "vgwAUCqVOntb8s+JiCoDAyERURXWvXt3NGjQAB4eHrh//77J59va2sLFxcXs6/fq1QuRkZEICgoy\\\n",
       "Wuevv/4yeqxbt24oKCiASqWCUqlEeno6rl+/rt1v8Pnnn4dUKtVOq/zpp58QHx+vs0hLvXr1jI6y\\\n",
       "vPTSS3j48CH+/vtv7Nq1C9bW1sXej7GgJQgCFi1aVOy5ZWFlZYUbN27oXN/GxgZHjhwxO8Q+99xz\\\n",
       "OHToEM6cOYM6derobbtRyJyfGzKPq6srwsPDta9PPvnEYL0nnzt98meC00aJqDJwyigRURUniiKy\\\n",
       "srLQp08fXL582aQvjW5ubrh58yaWLl2KxYsXIycnp1SjEIIgID09XTuSd+PGDXz66af44IMP9Oqe\\\n",
       "PXu2xPYMBTF7e3vs3r275JsA8PHHH+P8+fPYu3cvAEAmkyE9PV1ns/jAwEBs2rQJgwcP1ju/Q4cO\\\n",
       "+Oeff7T7CCqVSpw4cQJ///03BgwYgLZt2xr9XFUqFdq1a4eLFy9CEAT07t0bu3btMnnT+Xr16mm3\\\n",
       "8BBF0eiehqUhiiJiYmK07+VyOdzc3FBQUKD3WYeEhJh9HUtmzpTR0NBQREZGlvoafIaQiKoCjhAS\\\n",
       "EVUDEokEEydONOtLo0wmw4wZM7Bv3z507doVNWvWhKenJ5ydnQ2GGisrK9y5c0dvWuf06dMhk8n0\\\n",
       "6hfdhqKi7NmzB//99x+OHDmCvLw8nTBYaODAgejXr59OWevWrXXCIABYW1sjLCwMH3/8Mdq1a1fs\\\n",
       "5zpr1iycP38earUaKpUKe/bsgaurq94iMaUlkUjKFAaB/3/G8klKpRI7d+7Uq2tnZ4c6deqU6XqW\\\n",
       "iPsQEpGlYCAkIqrCnJycUKtWLfz444946623zG5HIpGgUaNGGD9+PH788UckJCQgMzMTSqUSKpUK\\\n",
       "KSkpOHbsGK5evYqCggIEBATotSEIAq5du1aW2ymzpk2bIiwsrNipn3/99RfS09Nx7NgxJCYm4syZ\\\n",
       "M2UKYD///LNeWW5ubqWPvBmaqjt69GiDdW/duoWePXty8RITPI1AKAgCHB0dGSiJqFLxbwYioios\\\n",
       "NTUVd+/exahRo8r0ZV4URWzatAnz5s3DwYMHdUYGpVIpatSogU6dOiE4OLjY8FSnTh2Eh4frlDk7\\\n",
       "O5vdr4ri5uaGTp06wdvbu8xftu3s7AyW3759G3K5vExtl0XLli3h7e2tU5adnY3//vtPr65EIsGB\\\n",
       "AwfMXpzIElVkIOzfv7/235989vPrr78ut/4TEZUWAyERURVmY2NTLqM6Bw4cwKRJk3D16lV8/vnn\\\n",
       "UKvVZre1Z88ebQgUBAGbNm0qc/+qshkzZhg99rSmyxpz7do1vTDSqVMno5vPcySq9CoyEO7atQui\\\n",
       "KOq9Jk6cWEF3Q0RkHAMhEZEF+Oijj3SWtk9JSTG7LYlEgnHjxsHKygouLi7o1q1bOfWyaurTp4/B\\\n",
       "Zy0LV0atTC4uLnrPUubk5ODhw4eV1CMiIqpuGAiJiKq5klYNVavVOitSAmVfeXLu3LlYt24dbt68\\\n",
       "aXRK5bPC398f3377rd5U2oYNGxpcZOdpEgQB8+bN0ykTRRFBQUFGRwmpdLioDBFZCgZCIqJq6t69\\\n",
       "e6hZsybs7Ozg7e2NY8eOGawniqJeOEhNTTX7eTJRFPHo0SO0b98e7u7uZrVR3bz++us4ffo0AgMD\\\n",
       "YWtri8DAQBw5cqSyuwUAGDJkiF5Zfn4+xo0bVwm9eXYwEBKRpWAgJCKqhm7cuIE6deogISEBcrkc\\\n",
       "ycnJ6Nq1K/7880+9ulZWVgZHsswJhImJiWjatCkaNWqEDz/80Ky+l0Xhs1YajQYqlQr5+fnIz883\\\n",
       "ezRMFEXI5fJSnd+qVSvcvHkTycnJuHr1Kry8vMy6Znmzs7MzGEh+/PFHjhKWAQMhEVkKBkIiomoo\\\n",
       "NDRUr0wURYwcOdJg/RMnTui8t7GxMXm6Y9++feHr64srV64gJycHO3bsQGpqqkltmOPRo0d48cUX\\\n",
       "4eHhAXd3dwQHB2PChAk4cOAAUlJSIIqiWV/I5XI5xowZg4CAAHTv3h1ZWVklniORSODk5FRpU0UL\\\n",
       "N7V/0v379w1OG9ZoNDh37tzT6tozh4GQiCwFAyERUTWjVquRl5dn8JhKpTIYDlq1aoUDBw7AxsYG\\\n",
       "UqkUd+/eNelL7Lp16xAZGalTJooiJk+ebFrnTZSXl4e6detq9xbMyMhAbGwsDh8+jPr168Pf3x/2\\\n",
       "9vYmfyFXq9Xo0KEDNmzYgKSkJBw9ehT9+vUr8XlMYzQaDWJiYjBy5EhMmjQJd+/eNbstY0RRRE5O\\\n",
       "Du7fv4/09HQUFBQgNTUVEyZMMHrOpEmTyrUPloSBkIgshf6yaUREVKUJgoCIiAhs375d79inn35q\\\n",
       "9Mtpz549IZfLzRpRe++99wyWHz582KR2TJWcnIycnBydMqlUihUrVqB+/fpmtzt58mScP39epyw6\\\n",
       "OhpyuRy2trYmtaXRaNC9e3ccPXpUW7Zq1Sp07doVf/31FxwdHQE8DnRKpVJ7DVNXKFWr1di1axcW\\\n",
       "LlyI9PR0WFlZIS8vD9nZ2UbPOXfunNkjqEREZBk4QkhEVIUpFAoolUqdZ8EkEgm2bNmCa9euoUeP\\\n",
       "HnBzc4O/vz/+/vtvjB8/vsQ2zQkHhrZdAKANOxWlVq1a6N27NyQSCQRBgJ2dHXbv3o3evXsbPUcU\\\n",
       "Rdy/f9/oVEqFQoFvv/1Wr1ylUqGgoMDkPubk5Ogt6COKIqKiotCzZ0/cuXMHGRkZOHPmDIYOHYrG\\\n",
       "jRujc+fOuHDhgknP+N28eROTJk1CbGws0tLSkJSUVGwYBB7f67Vr10y+J+IIIRFZDo4QEhFVYba2\\\n",
       "thAEAW5uboiMjESbNm0APA6FDRs2xMGDB59KP77//nv0799fr9xQsCpPUqlUO100NzcXvr6+JY6s\\\n",
       "vfLKK9i2bRtEUUSDBg30Nm9PSkqCWq3WO08URaPBtzjFPU945swZdO3aFc7Ozrh9+7Y2cD548ADt\\\n",
       "27fHq6++irFjx0KhUODff/9FWloa2rZtiy5dusDZ2RkSiQSiKCI+Ph7dunVDZmamyf3r27cvYmNj\\\n",
       "tZ/bsxBeZsyYYfJIrqlMCXrPwmdKRJaLgZCIqAorXFUzLS0No0ePxqVLlyqlHy+++CJ69uypE0Bb\\\n",
       "tWqFnj17Vvi1BUGAh4cHPDw8Sqz76NEjbN26Vfv+xo0biIqKQrdu3bRlxlZXFQTBrJAhk8ng4eGB\\\n",
       "lJQUvWOiKOLBgwcGz5PL5fjpp5+wbt06vZFCQRDg6+uL119/HRqNBqtXr0ZGRobJfQMeb0/y4osv\\\n",
       "4vfff3/m94wsTwyERGQpGAiJqrk7d+7gn3/+wb1795CXlwdPT0+0bNkSHTp0qPDfoNPTVdlfOg8c\\\n",
       "OIC0tDRER0ejVatW8PHxqdT+GPL999/rlU2dOhUXLlzQvnd1dTV4rp2dnVkjhACwf/9+tGjRwuTz\\\n",
       "CgO/ofKEhAR8/PHHEAShzNtH7Nu3D0FBQfjxxx/L1I6lqez/5oiIngYGQqJqatOmTVi+fDnOnj0L\\\n",
       "b29v+Pn5wc7ODunp6bh16xZsbW3x6quvYsaMGQgICKjs7lIZOTk5VYktBDw8PPD8889XdjeMksvl\\\n",
       "emVpaWk676VSqcFz//33X7Ov27x5c4SGhiI6OtrsNgwxFhjNER8fj/Dw8HJpyxJwhJCILAUXlSGq\\\n",
       "hlq2bIkVK1Zg9OjRuHfvHh4+fIiYmBgcO3YMV65cQVZWFnbt2gWNRoM2bdpgx44dld1lMlPr1q0x\\\n",
       "d+5cpKWlmbwqpSFqtRpbt27F5s2bDYan6s7Qc44ODg467+Pi4vTqSCQS1KtXr0zXLny+k4iIqDrh\\\n",
       "CCFRNbRkyZJif9Mvk8nQrVs3dOvWDR9//DHu3r379DpH5ers2bPl1lZeXh7c3NygUCgAACNHjsQP\\\n",
       "P/yAkSNHPjMjHIGBgXplRYPvtGnT9Or4+PgY/AxOnDiBgwcP4q233oKnp6fR62o0GmzevNmMHpdN\\\n",
       "YZ/Le89D4gghEVkOBkKiasiUaV+lXYyDnn0//fSTNgwCj0cL33nnHfTt2xdeXl6V2LPyY2gUNTs7\\\n",
       "W7sXnyiKBkO2n5+fXpkoihgwYAAyMzOxZ88eHD161OgobVxcnFkrgJZEKpUaXBG1UEBAABQKBRIS\\\n",
       "Esr92paOgZCILAWnjBI9I5KTk3Hp0iVcvHhR50UEPB7Bevfdd/XKHz16hI4dO1ZImDFFeY1wGVp8\\\n",
       "JSMjA48ePYIoirh48SLS09P16jz33HN6ZStXrkRqaiqUSiVOnToFd3d3ZGVl6fV71apVCAwMLPPC\\\n",
       "L0U1bdoUI0aMMLqtxd9//43bt28jLi4OQ4cOLddrE/chJCLLwUBIVM3FxMSgadOm8PX1RbNmzdCi\\\n",
       "RQu0bNlS+08i4PFooLHAkpubi7S0tEqbdnjv3j00a9YMHTp0MLh1AwAolUps3LgRM2bMwJUrV4z2\\\n",
       "NTY2Vq9MrVZj7ty5uHr1Kl599VWD573wwgs670VR1AvQOTk5cHV1Rffu3fH9999jyJAhkMlkmDhx\\\n",
       "olmfXXEh4sMPP8T58+fxww8/YNWqVXrHp0yZgueeew6CIEAikWDLli3l8owp/T8GQiKyFJwySlTN\\\n",
       "vf7662jQoAF++OEHeHt784sJGWRlZYUhQ4Zgy5YtOuHFx8cHu3fvRkBAQKX87BQUFKBBgwbaqay+\\\n",
       "vr74559/0KFDB22dq1evonnz5lAqlQCAzz77DPb29ti/fz86dOig7bdGo8GIESMMXufIkSNo3ry5\\\n",
       "3oqjhUJCQnTeK5VK7fWeJIoijhw5giNHjph8r4UKV4ytWbMm7t27h6FDh+LKlSvQaDRwdHTE8ePH\\\n",
       "dfrz+uuv4/Tp01i7di1EUUTr1q2xbNkynTYlEglOnjypt7BNjRo1EBYWhkePHuHs2bPIyckp95HM\\\n",
       "ZxWnjBKRpWAgJKrmbt++jV9//RX169ev7K5QFSYIAjZs2ID58+fjv//+Q926dREUFAQ7O7syfZnN\\\n",
       "yMjA/v37kZaWhs6dO6NBgwawsbEp9fmDBw/We66xS5cumD59OoYNG4aVK1fihx9+0BuBy8vLQ6dO\\\n",
       "nVC/fn18+eWXSElJwbZt23D58mWD13n++efRr18/pKenY+bMmTqhyNnZGY6Ojjr1JRKJ9pnD8nbt\\\n",
       "2jXtM4vBwcG4ePEiNBoNNBqNwX0QBUHAt99+iwULFqCgoAC1a9c2+GfWunVr/Prrrxg/fjy8vLyw\\\n",
       "a9cuvUV2Cp+lrO4WLlxY4cGWgZCILAUDIVE117NnT/z7778MhFQiqVSK+vXrl/izolarkZWVBQcH\\\n",
       "B6PhTqPRoGXLlnrPqUokEgQHB2P58uVo1aoVHBwcYG1tDYlE/wmFrKws7N271+D1lyxZgk8//bTE\\\n",
       "L/03b97EgAEDiq3j6emJhQsXwsbGBu+//z78/f0xevRoKJVKSKVS/PDDD3pf6K2srFC7dm3cu3ev\\\n",
       "2LZNJZFI4Ovra7Dc0Gf0JG9v7xLbHzRoEAYOHGg0oDC4EBFRUQyERNXc2rVrMWrUKFy6dAlNmzbV\\\n",
       "e47I0L5sRMWJjo7GSy+9BBsbG/z1119o2rSpXp3AwEDcv39fr1yj0eDKlSva59sEQYBUKkXdunWx\\\n",
       "ZcsWNGvWDBKJBFlZWahbt67REbjy2pBdIpHgxo0b2mArCAJeeeUV9OjRA19//TUaNWqEgQMHGjz3\\\n",
       "8uXLeiOHZfU0njdj6CsfHCEkIkvBQEhUzZ08eRLHjx83ONIiCEKxS9YTFZWRkYHOnTtrw1hISAhC\\\n",
       "QkIQExMDa2trKJVK1KxZ0+jiL08qDHUajQbXr19Hq1atKrr7OhwdHZGRkQGpVKp3zMfHBx9//HGx\\\n",
       "5zs4OCAtLQ0dO3bEjRs3ig2odevWxb///gt7e3vcu3cPQUFBBv/b48Iv1QcDIRFZCq4ySlTNTZo0\\\n",
       "CSNGjMDDhw+1zyEVvhgG6UkPHz7E3r17DW67UGjhwoV6wee///5DeHg4rl69ijlz5pQqDFY2a2tr\\\n",
       "pKamGgyDpnBzc8Phw4d1Fq8pavTo0bh16xYcHR0hkUgQGBhodNGZ7t27l6k/9PRwlVEishQcISSq\\\n",
       "5tLS0vDOO++U6vkislxxcXEIDg5Gfn6+dsqmvb29Xr2NGzcaPP/YsWNYvnw5Tp06VdFdLTNBEBAf\\\n",
       "H290/z5TaDQa2NvbY8qUKbh37x4SEhK0gVkikWDNmjV444039M7r3Lkz3Nzc8OjRI51+7dixo8x9\\\n",
       "oqeDI4REZCkYCImquUGDBuHw4cOoV69eZXeFqrDOnTsjLy8PwONFW+rUqYPk5GS9ekU3Xi8klUrR\\\n",
       "s2dP+Pv74+LFi5W2Z2EhW1tbeHh4ICUlRWeVUolEgsOHD8PT07PUbT05tVWlUiErKwu3b9/GhQsX\\\n",
       "8ODBA1hZWSE7Oxv169eHQqGAXC5H/fr18eeff2pXCzUkPj4eNWrUQF5eHqRSKfbv3w8HB4cy3be5\\\n",
       "Cqftbt++HXPnzq2UPlQ3DIREZCkYCImquQYNGmDmzJk4duwYQkJC9J5Rmjx5ciX1jMpDYfAqyxdO\\\n",
       "uVyOuLg4nbKUlBRcuXIFjRs31ik3tqrn66+/jkGDBkGtVmPt2rXlvvqmKQRBwEcffYSJEydCLpfj\\\n",
       "r7/+wl9//QVnZ2csXry42JD2JFEUoVAocOnSJcyfPx9RUVEG9+mTSCSwtbWFl5cXOnfujClTpqBz\\\n",
       "584lTke1s7NDdnY2MjMz4eTkZHBLiachPT0dvr6+2uDMQEhERE9iICSq5tauXQtHR0dERUUhKipK\\\n",
       "55ggCAyE1ZyNjY12pMLa2hpeXl4YP348xo8fb3DKpyEPHjwwOKLXp08fnZVCC0fJipLJZFixYgWk\\\n",
       "UimkUim2bt2qs3F8aRVuraBSqUw+t6gWLVrAxcUFgiBg7NixGDt2rEnni6KI/Px8bN++HZMnT0Z2\\\n",
       "drbRuhqNBnl5eYiPj0ffvn3RsWPHUj+bKJFI4ObmZlLfyluDBg10RlGpdDhCSESWgovKEFVzd+7c\\\n",
       "Mfq6fft2uVxj1apVqFOnDmxtbREaGorTp08XW3/Hjh0IDg6Gra0tQkJCsGfPHp3joihizpw58PX1\\\n",
       "hZ2dHXr16oXY2Fiz+lY43c/YKzc31+TFIarSS6VSQalUQqFQIDc3F3fu3MH7778PR0dHBAcHY+/e\\\n",
       "vYiLi0NKSgrkcrnBz+jatWsGy+Pi4nQCYUJCgsGFiPbu3asTgExdLVQqlaJHjx44f/48oqOjUadO\\\n",
       "nRLPEQTB6L58oijiq6++MnvaqlqtRn5+Pi5duoS5c+cWGwafpFKptMG8uhBFUec5Riq9Z2FRmStX\\\n",
       "rlTZvhFR1cFASPSMevjwIT777LMyt7Nt2zZMmzYNc+fOxblz59C8eXOEh4cbfP4MAE6cOIHhw4dj\\\n",
       "7NixOH/+PCIiIhAREYFLly5p63z22WdYsWIF1qxZg+joaDg4OCA8PBwFBQVl7q+lEEUR169fx/PP\\\n",
       "P4+AgAD4+PjAzc0N48eP1xuB2717t9F26tWrhyVLluC7774zuGG9tbU1wsLC9MpKO0ImCAJcXFyw\\\n",
       "cOFCNG7cGM2aNTO4CEtRXl5eWLRoEZo1a2bw+OHDh02atiqKIvLy8pCUlISkpCQkJycjKioKDx8+\\\n",
       "LHUbgiCgb9++pa5fFQiCUC6L61iiZyEQFp0STkRkCKeMElVzr7/+usHye/fu4fTp05g+fXqZ2l+6\\\n",
       "dCneeOMNjBkzBgCwZs0a7N69Gz/++CM++OADvfrLly9Hnz598P777wN4vI3B/v37sXLlSqxZs0Y7\\\n",
       "ujNr1iwMGDAAALBhwwZ4e3tj586dePnll8vUX0tUOBqan5+Pb775Brt27UJ0dDR8fX2RkZGBLVu2\\\n",
       "GD1XpVJh5syZRo/7+fnpjdQJggBbW1vk5ubq1RcEATY2NtoFWkRRRGZmJr7//nvtM64ODg4QBKHY\\\n",
       "Eb7169ejd+/emD59OoYPH663OqdGo0HHjh0RHx9vdCSxsN7Zs2exaNEi3L9/H/Xr18fgwYPh7++P\\\n",
       "s2fPlnr6qkQiQYcOHdCnT59S1a9KvvnmG4wePbqyu1HtPEtTRkv6742ILBtHCImquUePHum8UlNT\\\n",
       "cfr0aRw5cgRffPFFmdpWKBSIiYlBr169tGUSiQS9evXCyZMnDZ5z8uRJnfoAEB4erq1/584dJCYm\\\n",
       "6tRxcXFBaGio0TbJNAkJCQgMDET9+vVRt25dZGRkmN1WVlaWwS+StWvX1nkvkUjQoEEDfPPNN/jm\\\n",
       "m2/g7++vPU+tVmPDhg2YPn06YmNjIYoibGxsjF7TwcEBvXr1giAIkEql2LJlC2xtbfXqJSYmYsWK\\\n",
       "FUbbKSgoQEBAANq3b48///wT//77L/744w8sWbIEP/zwA44cOVLil2SJRIIWLVpon9GtrIVhymLU\\\n",
       "qFEICgqq7G5UO8/CCOGTqlt/iejpYSAkquZ+//13ndcff/yBS5cuYcGCBdi5c2eZ2k5NTYVardbb\\\n",
       "49Db2xuJiYkGz0lMTCy2fuE/TWkTeLxSZlZWls6LjFOpVLh3716ZP6ecnByDC5I0a9ZM+6XSysoK\\\n",
       "3bp1wx9//IGRI0fixRdf1HtOUKPRIDIyEnfv3kXNmjVRs2ZNo19K27ZtqzMlVSqVGp36tmzZMqOh\\\n",
       "bvv27YiPj9c5rlQqcevWLRw+fLhUz9Y5Ojpi6dKlaN++fZk3ua9MO3furNb9J/MVziAYOnRoZXeF\\\n",
       "iKooBkKiZ9Tw4cNx5MiRyu5GuVm8eDFcXFy0r1q1alV2l6q88pgiplQqERYWprf66KJFizBq1Ch8\\\n",
       "8sknePToEQ4ePIiGDRvCzs4OHh4eeP755/Xaio+Ph0KhQJ8+fXDu3DlERkYiODhYZ8qnr68v/v77\\\n",
       "b71zf/vtN4P9u3//Po4fP65XLpfL8frrrxv8DHJzc3H//n0olcoS779Ro0bo2LFjqUYGVSoV8vPz\\\n",
       "kZeXh9zcXOTn5xvdxuNpa9y4MfLz87Fhw4bK7kq1Uh1HB431ae7cuToLbhERFWIgJHpG/fvvv2jZ\\\n",
       "smWZ2qhRowakUimSkpJ0ypOSkuDj42PwHB8fn2LrF/7TlDYBYObMmcjMzNS+iu6rRxUnOjoaISEh\\\n",
       "yM7O1n6ZrFOnDr7//nvMnDkTjo6OOvUFQYCrq6teOxKJBJ06dYKTkxNcXFzQu3dvXL16FQqFAikp\\\n",
       "KUhJSUF8fLzBVTxr1apldHGUPn366K2OunbtWoMrpprq33//RXx8fLF1VCoV3nzzTbi5ucHFxQXO\\\n",
       "zs5wdnaGo6MjnJ2dsWLFiirxBdza2hqvvfZaZXej2qjOU0YLf4Hh7OysLWvSpEmV6ycRVQ3V72EI\\\n",
       "ItIxbdo0vbKkpCTs2rUL/fr10zm+dOlSk9q2sbFB69atcfDgQURERAB4PPXv4MGDmDhxosFzOnTo\\\n",
       "gIMHD2Lq1Knasv3792v3rQsMDISPjw8OHjyIFi1aAHj8nFp0dDTefvtto32RyWRcLbESXblyBQEB\\\n",
       "ATh27BgaNGgAqVRa7JfLyMhIvTIPDw94enrqlUulUtSoUaPY60skEtSpUwfXr1/XO5abm4vJkydj\\\n",
       "4cKFcHNzg1wux+zZs0txVyUrKChA8+bNcefOHaN9HD58OH755ReDx3JzczFlyhT88ssvOHLkSLEL\\\n",
       "4FDVUp0XlSkMgtnZ2bC3t0deXh4kEkmVGbEmoqqFgZComjt//rzB8rZt2yI5OVm7PYS5X1imTZuG\\\n",
       "UaNGoU2bNmjXrh2++uor5ObmalcdHTlyJGrWrInFixcDAKZMmYKwsDB8+eWX6NevH7Zu3YqzZ8/i\\\n",
       "u+++0/Zj6tSpWLRoEYKCghAYGIjZs2fDz89PGzqpanr06BHCw8Nx4sSJYp8BTEtLM7jVRVhYWJme\\\n",
       "Y3N3dzd67JtvvsGGDRswadIk7N+/v1z33svJyUFgYCDS09P1Ri9zc3ONTmd90j///IM2bdrg7Nmz\\\n",
       "DIXVRHUOhOnp6ejRowcAID8/H8DjxZpKu+cmEVkWBkKiau7w4cMV2v6wYcOQkpKCOXPmIDExES1a\\\n",
       "tEBkZKR2UZj79+/rfMHt2LEjNm/ejFmzZuHDDz9EUFAQdu7ciaZNm2rrTJ8+Hbm5uXjzzTeRkZGB\\\n",
       "zp07IzIy0uBKkiUp6YuYg4NDlZiuZ66q9kUzPj4eb7/9Nr788kv4+vrC1tYWUqkUEokEarUa169f\\\n",
       "R8+ePQ3uKVk4SmwOlUqFBw8eGD0uiiJycnK0v5gobzk5ORg9ejQ2bdqkU75///5Sj7qcP38edevW\\\n",
       "xa1bt7jASzVQnQMhoP93A8MgERnDQEhEJZo4caLRKaKGFq4ZMmQIhgwZYrQ9QRCwYMECLFiwoLy6\\\n",
       "+Mx65513cOjQIVy8eLFKBFtRFBEZGYno6GhYWVlBqVRCIpHAysoKOTk5yM3NNRqQYmNjS9W+SqXS\\\n",
       "bjlRuH/anTt3tKPdlWXbtm3YsGGDTphbv369SW3cu3cPfn5+SEhIYCis4qprIBRFUdufkJAQ/Pff\\\n",
       "f1Wqf0RU9XDeClE11KdPH5w6darEetnZ2fj000+xatWqp9ArqghLly7FhQsXcO7cuSoz1VCtViM1\\\n",
       "NRWJiYlIS0tDSkoKHj58iOzs7GJHy9avX6+dvmaIXC7H4sWLERoairCwMCxduhSXLl3C+fPnMWnS\\\n",
       "JIPbXzxNarUat2/f1ilLTU01uZ3k5GR4enpCpVKVV9eIdBQu/nTx4kWd7YeepZWniaj8cISQqBoa\\\n",
       "MmQIBg8eDBcXF7z44oto06YN/Pz8YGtri0ePHuHKlSs4duwY9uzZg379+uHzzz+v7C5TGbVo0QKz\\\n",
       "Zs2q1qOqWVlZ6NixI86cOaO3jYMoivjss8+wcOFCbVA6c+YMvvjiC1hbWyMxMbFKjJB+9dVXOr9g\\\n",
       "6dGjB44dO2ZyO48ePYKvry+SkpKqTNAnXdV1hLCoAQMGVIn/doio6uLfQkTV0NixY3H79m18+OGH\\\n",
       "uHLlCt5880106dIFbdu2RXh4OL7//nvUrl0bZ86cwbZt21C7du3K7jKVg1mzZsHGxsbs86vCl9YL\\\n",
       "Fy6gVatWeqN9WVlZWLNmDZRKpXZ0Q6lUIikpCQ8ePCjVnoFPw7Zt23TeP7marqlSU1MxYsSIMvaI\\\n",
       "Kkp13naCiMgUDIRE1ZRMJsOIESPw559/4tGjR3j06BESEhJQUFCA//77D1988QUaNWpU2d2kcmRt\\\n",
       "bY1JkybplQuCAGtr62KfSXN2dkbfvn3h5+dXkV0slf/++w9NmzZFVlYWRFGERqPB2bNnkZKSole3\\\n",
       "qm2inZ6erjPV09XVtdjFkKRSKTw8PIyOAu7YsYNTR6soBkIishQMhETPCBcXF/j4+Bjc1JueHVOm\\\n",
       "TIGbm5v2C6iNjQ1eeOEF/P3339i7dy969Oih8zMgkUjQunVrnDp1Cps3b8aqVatgb2+vPS4IAtzc\\\n",
       "3ODh4fFUv9TGxsaiadOmOHHiBC5fvoz58+dXmVFAb29vbNmyBfPnz9c7Jooivv32W+17QRDQpUsX\\\n",
       "o23JZDJMmDABrVu3NnhcpVIhMzOz7J2mcsdASESWgs8QEhFVYfPmzUNQUBBCQ0Ph5uaG/Px8vPLK\\\n",
       "K9i2bRvy8vLg4eGhfYbU2dkZq1atwq1bt6BQKNCwYUMEBgbC1tYWgiBAo9HA398fdnZ2UCgU6Nmz\\\n",
       "J/744w/tNNQ///wT/fv3f2r3FhcXh86dO2tXEn0aBEFAkyZN8PLLL+P8+fP4888/daavvv3221i9\\\n",
       "erX2/bvvvgsXFxeo1Wpt2cSJE7Fjxw7s2bMHKpUKd+7cMXq9vLw8rFy5sthRwNOnT6Nv376lvoe0\\\n",
       "tDScPXsWXl5eaNSoEWQyGQRBgFKpxOXLl5GZmYlOnTrpPadJpqnoZwg9PT0NLkpUlUbEicgy8G8L\\\n",
       "IqIqrHCUSiKRoG7duujTpw/u3LkDuVyOgoICxMfHY9GiRVi2bBk8PT3RoEEDjBgxAs8//zycnJx0\\\n",
       "vqiqVCp8+OGHSE9PBwDY29vrjCa2adPG7H5aWVnBzc0Ncrkc2dnZJn2pNaVuWcKjtbU1Tp48qTNa\\\n",
       "p1QqMW3aNGzevBlBQUFYtmyZzjkODg64fPkygoODdcqjoqLg5uaGGjVqICkpqdjrFn7exqxYsaJU\\\n",
       "gVCj0eC9997DqlWroFQqYWVlhRYtWmDRokVwdXXFmjVrsGPHDgiCgPXr12PgwIEltkmVo0OHDjph\\\n",
       "0MHBAbm5uWbtxUpEVFYMhERE1YBGo8GtW7fwyy+/QCKR6Oz3p9FokJGRgYyMDNy8eRO3bt3C888/\\\n",
       "rzdq8e+//+LgwYPaQPXHH3/g8uXLaNKkCURRxIoVK8zqm729Pfr374+WLVvi2LFj2L9/v8GN6ctK\\\n",
       "IpHAy8sLtra2SExMNOka1tbWiIyM1Ju6aW1tja+//hqffPIJBEGATCbTO7dhw4Z49dVX9TalVygU\\\n",
       "SEhIMO9mnhAVFYXk5GR4eXkZraNWq9G1a1ecOHFCW6ZUKnHmzBn0798fdnZ2yMnJgUqlgkQiwY4d\\\n",
       "O4wGwmdheuOMGTMqPDxV5Ahh4bZBHA0koqqAgZCIqJoQRREZGRna6Z/G6ly/fh2xsbE64UetVmPo\\\n",
       "0KE656nVajRr1gx169aFSqXC/fv3Te6TnZ0dvvzySzz//PPIzs5Gfn4+YmJikJiYWOyehOZwcnLC\\\n",
       "/Pnz0alTJ9y7dw9LlixBTEwMCgoK9BafEQQBEokEUqkUDg4OmDx5Mrp161Zs28XZuHEjdu7cidzc\\\n",
       "3PK6Ha2CggJ069YNkydPRosWLeDu7g4XFxfY29tDFEUcO3YMw4cPR1ZWlsHz5XI55HK59r0oilAo\\\n",
       "FDoblBeqKs9pVgdPY9uJoucxIBJRZWAgJKrmRo0ahbFjx6Jr166V3RV6CjQaTYlfGkVRxNixY3H2\\\n",
       "7FlYWVlBo9Fg+fLluHv3rsG6t27dMqsvEokE3333HYYNGwapVIr8/Hy0atUKTZo0AQBkZmaioKBA\\\n",
       "5/k7c0kkEgwcOBDDhw+Hg4MDGjVqhN69e+s8myeKIuRyOfLz87XbVqSkpCA7OxutWrUq035/giAg\\\n",
       "NjbW4CqtUqkUdnZ2kMvlUKlUJn+pLwzx48ePL5dAIIqidgS5cOVZlUqFdevWYfbs2WVu31KYEwij\\\n",
       "o6PRp08fbXlYWBhmzpxp0jUZConoaWMgJKrmMjMz0atXLwQEBGDMmDEYNWoUatasWdndogqi0WhK\\\n",
       "NfJ28eJF9OrVC2+88QbWrl2LqKiocu9L165d8corr2iDlr29PTp37gwbGxuoVCoEBgbC0dERKSkp\\\n",
       "WLt2LTZs2IC8vLxi27Szs4O3tzfy8/ORmZkJlUoFmUyGl156CV9//TUcHR21dSUSid7CKXZ2dnB1\\\n",
       "ddW+DwgIgFKpLJfN3319fTFmzBj89NNPOuUNGzbEd999h4CAAOTl5SE2NhZRUVH4448/EBsbW+Kf\\\n",
       "l5WVFdRqdbkGgejoaKSkpMDb2xuiKOLChQv44IMPSnyekf6fOYEwIyMD+/bt05bv27ev2EBYdFSb\\\n",
       "iKgyMBASVXM7d+5ESkoKNm7ciPXr12Pu3Lno1asXxo4diwEDBnAbimdMaUYIAWinGsbExCAvL69C\\\n",
       "Rh2mTZumE7QEQYCTkxNatWoFa2trODo6QiqVolatWli+fDn69u2L4cOHGw2FXl5e+Pjjj9GtWzfk\\\n",
       "5+fjzJkzOHv2LGrXro2RI0fCwcHBrH4Wtz+jqRYsWICNGzdqRyatrKwwdOhQtGrVSvtMW1BQEMLD\\\n",
       "w/HOO+8gIiICp0+fNtqenZ0dXFxckJKSUi4jqYWysrJw+PBhDB48GKIoIjExsVzbtwTmBEJXV1eE\\\n",
       "hoZqy8PCwiqkb0RE5YmBkOgZ4OnpiWnTpmHatGk4d+4cfvrpJ7z22mtwdHTEiBEjMH78eAQFBVV2\\\n",
       "N6kcmPJcnlqtRk5OjtnXEgQBderUAQDcv39fJ1C0bdsWL7zwgt45VlZW8PT01Cu3sbFB//79kZ2d\\\n",
       "jUmTJuHbb7+FWq2GIAioWbMm9uzZgyZNmugEzJCQELz++utm97+QRCIpdRhKSkpCfn4+ateubXBU\\\n",
       "0d/fH+fPn0efPn2Qm5uLV199FR988IHeYjRWVlbw9fXFqVOn0LdvX51Ro0KdO3fGn3/+CSsrK8yb\\\n",
       "Nw9Lly4tt+CuVqsxevRoJCcnY+DAgahZsyb69u2LyMhIPHr0qFyuQfpCQ0MRGRlZ2d0gIjIJN6Yn\\\n",
       "eoY8fPgQ+/fvx/79+yGVSvH888/jv//+Q+PGjfWW0ycqjq2tLdLS0nD79m3cvn0beXl5WLZsGVq1\\\n",
       "aoVZs2bhxIkTZk1xk0gkWLVqlXZ7CoVCgbi4OISEhJTLtE5DRFFETk5OiaEwJSUFDRo0QL169VCj\\\n",
       "Rg08ePDAYL2mTZsiNjYWN2/exPLlyw2uTFpIEATs2bMHLi4uOuWDBg3C0aNH4erqCkdHR3zxxRdY\\\n",
       "tWpVuU4bVCgUmD17NpKTk9G4cWOsW7fO4HOkZNjT2JheEATtPqFERJWFgZComlMqlfj111/xwgsv\\\n",
       "ICAgADt27MDUqVORkJCA9evX48CBA9i+fTsWLFhQ2V2lasLLywsZGRlwc3PTltnY2GDq1KmIiYnB\\\n",
       "woULy7zpuVQqhaOj41PZPF2pVOLHH3/EyZMni603bNgwZGVlQaPR4NGjR6hdu7bRETs7Ozt4eHiU\\\n",
       "ajqqRCLBw4cPERwcDCcnJyxduhS//vqrXgh4++23kZiYiNq1a5dbQMjNzYWzszNkMhlsbGzg7Oxc\\\n",
       "Lu1agooMhE/+XBVdIZaI6GnjlFGias7X1xcajQbDhw/H6dOn0aJFC7063bt311log+hJHh4eOHLk\\\n",
       "CIKDg59KQHvafvnlF7z33nvQaDRo0KABrl69qjcaKYoiYmJi9Mrs7e2Rk5NT5ucQ7ezscPXq1RLr\\\n",
       "eXl54d69ewAeT/tMS0vDV199hc8//1xnRdXSkslkqF+/vsnn0WMVOXLH8EdEVQVHCImquWXLliEh\\\n",
       "IQGrVq0yGAaBxwsd3Llz5+l2jKoFiUSCK1euoGnTps9kGASA3bt3a5+9vHHjBkJCQvS+jAuCgC5d\\\n",
       "uuidW1BQgC1btujUz8/Px/Xr15GWllah/ZZKpfDy8sInn3yCzZs3m9XGxx9/XGFTcZ91T2PKKBFR\\\n",
       "VcC/JYiquddee027uiGRqaytrVGjRo3K7kaFCggI0Hl/5coVrFq1Sq/e9u3b9RZfEgQBBw8eRGZm\\\n",
       "JvLy8hAVFYWQkBCEhITA398fkydPNmmhH3MNHDgQdnZ2Jp3TsGFDTJ06Va9cFMVq/3JwcKjwgMZA\\\n",
       "SESWgoGQiKgKmzt3Llq0aFFhXzjVavVT2Y5AFEUoFIoSp8mZMo1Oo9Fg2rRpaNOmDc6dOwelUmmw\\\n",
       "3rRp0/TKZs6cqVff3t4e165dw8WLF9G7d2/Url0b48aNw/vvvw+1Wo3Lly/j7bffxu3bt6FUKlFQ\\\n",
       "UICvv/4arq6uSEhIKHW/zWFlZYXAwECDx9zd3dG7d2+EhYUhMDAQjRo1wvbt23H16lUGlTJgICQi\\\n",
       "S8FASERUhc2bNw/nz5/HnTt3KmTqn0qlwo0bN4qtk5+fjxdffBHBwcE4ceKEwTq5ubkYO3YsunTp\\\n",
       "gu3bt2vDn0qlwoYNG+Dg4AA7Ozs4ODhg9erVOiFUFEXcuXMH3bt3h5+fH3r16lWq6ZgRERFYtmwZ\\\n",
       "YmJi0KZNGzRp0sRgoKxRowZatmypU1a4ymlREokEISEh2LdvH+7du4dvvvkGjRs3hru7O/z9/aFU\\\n",
       "KvWukZ2djZo1a6Jt27YoKCgosd/mioiI0HlvY2OD8+fPIzU1Ffv27cORI0dw+/ZtXLlyBUOGDGFI\\\n",
       "ISKiUnk2HxghInrGBAQE4Pjx4+jQoUO5t/2///3P6AqcarUa7u7u2qDTqVMn7N27F3369NHWkcvl\\\n",
       "cHNz0464HTt2DBKJBF5eXsjPz0dmZqa2bn5+PiZMmICZM2dizJgx8PDwwJo1a/Dw4UNt0EpMTESt\\\n",
       "WrWQlpZmdJqkRqPBnj17tO9FUcStW7egUCgMbgNx8uRJeHp6akOgk5OTSQFbEAT4+Phg3LhxmD59\\\n",
       "usHgefbsWdjZ2SEgIADr169HixYtYGVlBYVCAaVSCQcHB9jb25sd1KZMmYKff/4Zqamp6N69O37/\\\n",
       "/XdYW1ub1RaVzJyN6YmIqiOOEBIRVRPt27evkNViz5w5oxPanvTFF1/ojXpFREToBKKJEyfqTb/U\\\n",
       "aDRITEw02m5WVhaWL1+OuXPnIiEhQS9g5efn45VXXjHa54KCAr2prhKJxOjCODKZDJcvX4a/vz8c\\\n",
       "HR3Ru3dvk5+9FQQBkyZNgqenZ7H17t27h27dumn3GHR3d4e3tzecnJzg5uaG77//3qwVQ728vBAb\\\n",
       "G4uMjAz89ddfDIMVjFNGichSMBASEVUjX375Zbm3qVarDS4+AgDz58/XK5PL5VAoFNr3f/zxh9nX\\\n",
       "Lu6Zwd27dxs9npGRofMlXCqV4oUXXih2e4hatWrh6NGjmDdvHqZMmWLWqqoymQzbt283+Tzg8b1m\\\n",
       "ZmbizTffhL+/f4lTdQ2xsbFhEHxKGAiJyFIwEBIRVSO9e/eukHZ//vlnvVG+rKws5OfnG6z/5Mqa\\\n",
       "xY12OTo6Gh2JEwQBVlZWRr9Mq1QqneD5pIsXL2rPEwQB33zzTamCWp06dfDWW2+hWbNmZj+T2blz\\\n",
       "Z9jb25t1bqGkpCR06tQJiYmJZWrHGI1Gg4yMDNy8eROxsbG4c+cOrl+/jjNnzlTI9Z5FDIREZCkY\\\n",
       "CImIqhG5XF4h7apUKkyZMkWnzNC+fIVsbGy0/+7m5mawTuPGjREfH4+0tDTMnz9fe44gCLC3t8f0\\\n",
       "6dNx/fp1nDhxArVq1dI738rKyuAKqEqlEsuXL9dOER0zZgz+97//lWrkTBAE7QI35gbCwv0By0IQ\\\n",
       "BOTn5+PKlStlaqeowtFeW1tbuLm5ISgoCA0aNEDdunURHByMdu3alev1nmUMhERkKRgIiYiqkTt3\\\n",
       "7lRY25s2bdI+L5iVlWU0rBT9Auzi4mKw3sKFC+Hs7Ax7e3vMmDED48aNg7u7Ozw8PDB58mTMnj0b\\\n",
       "gYGBCA0NRVRUlN7zkX5+fnrTOkVRxJUrV/Dff/9BEAQ4OztjxowZJn8hL+sXeHOeASwkkUhgbW0N\\\n",
       "T09P+Pn5lakfTxJFER9//DG+/vpro1twEBERFcVVRomIqgmNRoOJEydWWPtZWVlwd3dHgwYNcPny\\\n",
       "ZaOhx8rKSmd0zdDG9lKpVGebBJlMhhUrVmDZsmXa408KDAzEo0ePEBcXh19//RVBQUHo3r27dtRP\\\n",
       "FEU8ePAAI0eOxIkTJ6BSqWBtbY158+ahQYMGZbpvtVqN9PR0iKKIGjVqlDhyqFAo8PDhQ5OvIwgC\\\n",
       "GjRogMmTJ6Nly5YICgqCh4eHud3WoVKp4O3tjfT09HJpj7jKKBFZDgZCIqIqLCMjAwqFAnfu3MHs\\\n",
       "2bMRGxtbodfLz8/Hv//+W2wdR0dHnfeGwpG7u7vBYFXcoi/A44Vfii5wo9FosGzZMsyYMUNnCqmV\\\n",
       "lRVGjRpVbHulcffuXXTt2hUpKSlwd3fH8ePHUa9ePYN1RVFE27ZtDU5lLYmTkxMOHToEX1/fUgcI\\\n",
       "pVKJiRMn4urVq/j+++/RsGFDvTpqtRouLi7Iy8szuU9kHAMhEVkKBkIioirM2PN5laljx44672/d\\\n",
       "uqVXp27duuV2PblcjpkzZ+qFMEdHRzg5OZW5/S+//BIJCQkAHi/2EhQUhD/++AMvvPCCTj1RFNGh\\\n",
       "QwdcvHjRrOu4uLjAy8ur1OFBrVbDz88PqampAIDg4GBMnDgRK1as0LahVqvh6enJMFgBGAiJyFLw\\\n",
       "GUIiomrG3MVQysvq1au1/65SqQyuRNqhQ4dyu15mZqbBZ+IaN25cLl/Ed+7cqfNeFEUMGTJEb4XT\\\n",
       "yMhIREdHm32d1NTUUo8sajQa1KpVSxsGC61cuRL+/v6IiorCr7/+CicnJzx69MjsPpFxXFSGiCwF\\\n",
       "AyERUTVibW2N9957Dy+++GKlXL9Dhw6oXbu29v2jR48M7hX42muvlds1jY1+jRs3rsRzi9vnsPB4\\\n",
       "0dAFPJ6qWfTc+Ph4g23IZDKMHTsWkyZNgkwmM3qt/Px8nD59usQ+Jycnw9XV1ehzigkJCejWrRte\\\n",
       "euklo9uCUNkxEBKRpWAgJCKqRtq2bYtPPvkEv//+O5577rkS6xcuZLJs2TL8/fff+OGHHxAaGmrW\\\n",
       "td3c3HD8+HGdsif3IywklUrRtGlTs65h7LqGFLcnoyiKWLduHTp37ow9e/YYradUKg2OPvr4+OiF\\\n",
       "u9GjR8PHx0f73srKCitXrkR+fj7Wrl2LFStWIDU1tdgN7wcMGIDMzEydfhYUFCAmJgavv/46XFxc\\\n",
       "4O3tjezsbKNtEBERlSc+Q0hEVI1ERERoF2bZvn17sc8YPv/889i9e7de+euvvw5RFBEREYE//vij\\\n",
       "VNeVSCRISUnRGwnx8vJCw4YNcf36dQiCgODgYFy4cEFnn0JRFCGKotlTXd3c3GBjY6MzhdPKygrO\\\n",
       "zs4G66vVari5uWlDVb9+/RAZGYnw8HC9uq1bt9Yrk0qluH//vl65lZVViauLOjo6IjQ0VC84F3r0\\\n",
       "6BFcXV0hkUi0nwtVTXyGkIgsBUcIiYiqkSdHu4rba04QBPz666/FHt+1axe6du1aqutKJBKDgU4Q\\\n",
       "BBw/fhyffvopzpw5g8uXL+uEwezsbNStWxcODg4YPXq0wRHF0mjbtq3edY1Nlxw1apTeCNu0adP0\\\n",
       "6u3duxeXLl3SK1+8eLHZ4VWj0eDs2bOlqlceYVAQBDg5OaFmzZpwcHBgMClHnDJKRJaCgZCIqBo5\\\n",
       "efIkcnJyoNFoih3ds7e3h62tbYntHTlyBGFhYSXWM7Z4DPB4i4n33nsPrVu31vtiPGPGDNy9excF\\\n",
       "BQVYv349WrdubVYQql+/vs57pVKJESNG6C38cu7cOWzevFnv/Bs3biAuLk47KvfHH3+gX79+evUE\\\n",
       "QcA777xjcv+AxyOT9erVg1wuN+t8U0kkEty4cQNZWVl48OABcnJykJubizfeeKPSFx56FjAQEpGl\\\n",
       "4N8YRETViFwuxxtvvIFjx45h3rx5RuvVqlWrVO0JgoDDhw9j0qRJJYaIdu3aGW3D2LkxMTE67y9c\\\n",
       "uIBDhw6Vqm9P2rdvn17Zrl274OrqihEjRmDNmjWYMWMGOnXqZDBwqlQqNGvWDKNGjUJQUBAGDBhg\\\n",
       "sF5QUFCxzwAac+zYMchkMty9e9fkc821fPlyvaBsZ2eHb7/9Fi+99NJT68ezioGQiCwFAyERUTWz\\\n",
       "Y8cOvPTSS9q98wzx9vYudXuCIGD58uX47bffdKZ7FnX58mW89tprOtM+lUplsStdvvHGG3plH3/8\\\n",
       "can7Bjwe9UtMTDR4LD8/H5s2bcL48ePxxRdfoKCgwGg7GRkZ2Lhxo8F9Ewu9+uqrJvVNFEX07dsX\\\n",
       "Xbp0MWuzenMJgoC3337b6LHPP//c6DEqPYZBIrIEDIRERNWMWq1GSkpKsc/jmbpKpSAIeOGFFzBv\\\n",
       "3rxiRwp//vlnODo6om/fvoiIiEDnzp2xePFiqFQqg/XHjBmjFzJdXFxK3a+8vDyjI5NPEkXR7OcT\\\n",
       "n3Tp0iWdkUNRFJGSkoIrV64gIyND55harUa3bt0QGRlZ5uuaqk6dOtrFhQzx9fU1GFS4iA0RERXF\\\n",
       "VUaJiJ5BsbGxEEXRpNELURRRv3592NjYFDvSlp+frw1BgiDgzp07mD59OhwdHfXqSqVSpKWloWbN\\\n",
       "msjOzoa1tTWWLVtWqv4olUq4ubmZNPJma2sLhUJhdjj8/fff8e6772LEiBE4e/YsJkyYoBN2HRwc\\\n",
       "8O6776Jz58749NNPcfToUbOuUxaCIJR4XSsrK0gkkqc6avms4SqjRGQpGAiJiJ5B2dnZePjwIfz8\\\n",
       "/EpVPysrC/PmzcPPP/+st1BLcURRhFQqLXZDdkdHRzx69Ag3b97U7rNXGt7e3ib1xcnJCUuWLMHu\\\n",
       "3buL3XuwOCqVCsuWLTMaWnNzc7Fw4UI4Ozs/1cVjHBwcIIoi7OzssGrVKvj7+5d4HkNK2TAQEpGl\\\n",
       "YCAkInpGNWvWzODegUUtWbIEH330kVmjalZWVvj2229hbW1dbD2JRIIGDRqUut1//vkHjx49KnV9\\\n",
       "Dw8PfPvtt4iIiMCoUaNQq1Ytk843lYeHB2rVqoUzZ84gLy+vwq4DPB5lHTZsGMaMGYPg4OBi9558\\\n",
       "EqeHlg0DIRFZCj5DSET0jEpLS8Obb75ZbJ2lS5di5syZZoXBGjVq4Pz58+jfv7+5XTTqrbfeMqn+\\\n",
       "kiVLMGDAAEilUjg4OGDjxo0G6wmCAE9Pz2IXzynJc889h4sXL+LQoUNIT0/H3r170ahRIzg6OsLB\\\n",
       "wQE1atSAq6trsc/4mUKpVOLChQtwdXWFs7NzqcJHXl4ep4uWEVcZJSJLwUBIRPQMW7t2LaKiogwe\\\n",
       "02g0eP/9901uUyqVYsmSJUhMTETTpk3L2kU9arUacXFxOmXFbW0BAOHh4TrbRfTt2xd2dnY6daRS\\\n",
       "Ke7evYuHDx/i7NmzJn+Jt7a2xpEjR7Bv3z44ODhAIpFAJpOhT58+uHLlCrKzs5GTk4OUlBSkp6cj\\\n",
       "Li4OPj4+Jl3DmJiYGPTp0wcHDx4sVdAbOHBguVzXkjEQEpGlYCAkInrGdevWzeBWC/Hx8SaPDFpZ\\\n",
       "WeHXX3/FjBkzTBoBUyqVuHnzJk6ePImkpCSj1xVFEV999RXkcjkkEgmcnZ2xZcsWZGdnIz09HUOH\\\n",
       "DjV4XmZmps4USYlEgjVr1mi/qEulUiQnJ6N27dqQSqUICQmBq6trqfru5OSEnTt3Qi6XIywsrFTn\\\n",
       "CIIAX19fxMTEGFxsx1SiKCIuLg59+/ZF48aNkZKSYrTeRx99hP3795f5mpaOgZCILAUDIRGRBQgK\\\n",
       "CsKRI0d0yr7++muT2hAEAa1atUK/fv2M1hFFEXK5HImJiYiMjMTgwYPh4uICmUyGoKAgdOzYET4+\\\n",
       "PrCxsUFwcDC2b9+OhIQEPHz4EBs2bIC3tzfef/997QqjN2/exMsvvwwHBwe4uLhg48aNsLW11bvu\\\n",
       "u+++i8zMTJ2ygQMHolWrVqhVqxZu3LgBd3d3neN9+vQp9l5btGgBhUKBrKwsDBgwwKwv/b6+vvj6\\\n",
       "66/h6OgIiURS5vAgiiJu3LgBLy8v+Pn54bvvvsPVq1cRExODyZMnw97eHp988kmxbZgadKriKzc3\\\n",
       "F6IoFvsiIqLS4aIyREQWQBRFdO/eHQ0bNsSePXsQGxuLlStXGqwrkUggkUig0Wh0RvKkUimee+45\\\n",
       "g1M3CwoK8Nlnn2Hp0qXIzs4uceRRrVbj+vXrGDZsmNE6Xl5eqFGjhk6ZtbU17O3t9bbFOHDgADp0\\\n",
       "6IALFy5AJpNBFEUUFBRgzJgxaNmyJQIDA/Xa79evH7Zs2aJ37+PHj8eyZct0pqCaSxAEDB8+HAqF\\\n",
       "AmvXrsXNmzeRlZVVLs/3PXz4EOPGjStzO2QYF5UhIkvBQEhEZEGuX7+OevXqGTwmkUjg5uaGWrVq\\\n",
       "QRRFPHz4EBkZGdrw4ubmhpYtW0Kj0WhDoUKhwNy5c/HFF18Y3ZzeXImJiXplcrkc2dnZeuUajQbX\\\n",
       "rl2Dn58fXn75ZVhZWeHkyZPIz8/Hu+++i/bt2+t8aRdFEY8ePYKjoyPkcjm8vLywbt069OzZs9y/\\\n",
       "3MtkMowaNQpdunTBokWLsGPHDi74Ug0wEBKRpWAgJCIiLYlEAnd3dwQHB8PV1RU5OTlIT0+Ho6Mj\\\n",
       "unXrhi5dukAURSgUCpw/fx59+vRBRkZGhfQlIyMDd+/e1Y7uaTQavP3221AqlUbPSU9Px+rVq3XK\\\n",
       "3njjDRw6dAhffPEFHB0dER8fj4ULFyIqKgp169bFqlWr0KlTpwr9Ui+TydCwYUOMGzcOv/zyS4Vd\\\n",
       "h8oPAyERWQoGQiKiaqZw64SsrCy9qZNlodFokJKSguPHj8PW1hbLli1DnTp1YGVlpTe6dv/+ffTr\\\n",
       "16/CwmDhdYKDgzFr1iwEBQVh7ty5uHHjhsntqFQqbNy40eBWFGq1Gm3btn0qX+glEgmaNWvG8FBN\\\n",
       "MBASkaXgojJERNWMi4sL3nzzTYSGhha7FYO55HI5oqOj4efnBxsbG53FUJ7c/qEiw2AhhUKBOXPm\\\n",
       "YPjw4WaFwZI8fPgQCoWi3Ns1xt7evsIWPJFIJHjuuedw4sQJ3L17F2fOnMHEiRPh4uLCwGIGrjJK\\\n",
       "RJaCgZCIqJrJycnBtm3bcOnSJZ1yiUQCR0fHMm26XigjI6PYdnx9fctt4/XKpNFoMGfOnHJtMyUl\\\n",
       "BWFhYWjfvj0uXryoEwAVCkW5P2sJAE2aNEFBQQH+/vtvdOjQAQEBAWjTpg2+/vprZGRkIDMzEytW\\\n",
       "rEBISEi5X5uIiKo3BkIiompGpVIhNjYWaWlp2tU8JRIJgoKCMGHCBAQHB5f5Gmq1uthRD5lMhtat\\\n",
       "W5f5OlXBihUrDC5UYw6NRoO6devi6NGjiI6ORvPmzTF06FAUFBRApVJh/fr1Ju/9WBxra2usX78e\\\n",
       "ly5dgrW1tdF6Tk5OmDRpEi5evFhu137WcYSQiCwFAyER0TOiSZMm6NGjB7y9vculvby8vGKPr127\\\n",
       "FjKZTKdMIpHAxsamXLZseFo0Gg08PT1x+fJlKJVKZGdnY/Xq1ejZsyeysrJMaqugoAA5OTk6Zb/8\\\n",
       "8gvc3NzQunVrTJs2rUx9dXFxwfjx4xEVFYW0tDQUFBRg5MiRZWqTDGMgJCJLUX3+xiYiIqM0Gg0u\\\n",
       "XLiA6OjocnvWbv78+Vi6dKnR4wEBAZg8eTJ++eUXiKKIli1b4uWXX0a9evVw7do1zJs3D7du3aoW\\\n",
       "m4TL5XI0bdoUgiDo9DcoKAiJiYml/sIvk8n02gAeB8Wyjs7t2rUL/fv3L1MbVHpcVIaILAUDIRHR\\\n",
       "M+LOnTtYsmQJ8vPzy6W9r776Cq1atcLLL7+sfV5QFEWo1Wrk5eUhPj4ePXr0QL9+/dCgQQPUqFFD\\\n",
       "OzLYsmVL9OnTB8uXL8fatWuRnp6u3XtPFEVoNJoqGRSL9ik5ORmPHj2Cu7t7qc6XSqWoX78+YmNj\\\n",
       "y7VfTZo0KbcwWBU/d1MtXLiwXKfeGsJASESWglNGicggpVKJGTNmICQkBA4ODvDz88PIkSORkJBQ\\\n",
       "4rmrVq1CnTp1YGtri9DQUJw+fVrneEFBASZMmAAPDw84Ojpi8ODBSEpKqqhbqdY2bdqE4cOHl2oK\\\n",
       "piiKyMvLK7cv/KIo4rXXXoONjQ2sra1hZWUFa2tr2NnZwdvbG927d8e2bdsQEBAAb29vWFtb66xE\\\n",
       "6uHhgfnz5yMuLg5ZWVnIy8tDQUEBCgoKkJGRgREjRhi9duHKplXBt99+a1L9mJiYcu/D9OnTy71N\\\n",
       "Kh6njBKRpWAgJCKD8vLycO7cOcyePRvnzp3Db7/9huvXr5c4SrFt2zZMmzYNc+fOxblz59C8eXOE\\\n",
       "h4cjOTlZW+edd97Bn3/+iR07diAqKgoJCQkYNGhQRd9StfTKK69g8+bNyM/PR+3atSulD4WjghqN\\\n",
       "BhqNBmq1GnK5HMnJydiyZQsuX75s9AuxIAiQSqXaUCmVSmFlZQVnZ2ds3LgRPXv2NHieu7s7ateu\\\n",
       "XSW+aC9dulQvZBc3wunk5ITmzZuXax/27t1bLu08C6ODRERUvhgIicggFxcX7N+/H0OHDkXDhg3R\\\n",
       "vn17rFy5EjExMbh//77R85YuXYo33ngDY8aMQePGjbFmzRrY29vjxx9/BABkZmbihx9+wNKlS9Gj\\\n",
       "Rw+0bt0aP/30E06cOIFTp049rdurdqysrPDrr79Wdjf0KBQKHDlyxOzzjS2y4uDggK5du8LBwcHs\\\n",
       "tstLZmamdrproZJGhT744INy7cPBgwfLFObkcjn279+PDz/8sBx79WzjCCERWQoGQiIqtczMTAiC\\\n",
       "AFdXV4PHFQoFYmJi0KtXL22ZRCJBr169cPLkSQCPp9MplUqdOsHBwahdu7a2DhnWpk0bvPvuu5Xd\\\n",
       "DR2iKGLNmjVm76333HPPGfwyLZVKMWvWLOzduxe2trYGj7/++uvYt28fxo4dW6F7IiqVSr1pzyUF\\\n",
       "gPIe8U5JSUFQUBDkcrnJ5w4ZMgS2trbo3bs3lixZUq79epYxEBKRpWAgJKJSKSgowIwZMzB8+HA4\\\n",
       "OzsbrJOamgq1Wq237YG3tzcSExMBAImJibCxsdELlU/WMUQulyMrK0vnZYm++OIL/PTTT5XdDR05\\\n",
       "OTlo1aqVWedaW1sb/HlKT09H3bp10blzZ6Snp8Pe3l57TBAEHDp0CD/88AN69+6NtWvXQqVSQS6X\\\n",
       "F7sXX1l069YNCoWi1PUrYsGTW7duwdbWFjKZrFQ//xqNBra2tvjll1/KvS+WgmGQiCwBAyERAXi8\\\n",
       "eImjo6P29c8//2iPKZVKDB06FKIo4ptvvqmU/i1evBguLi7aV61atSqlH1XBqFGjMHLkyCr1RfTS\\\n",
       "pUtmT/nt16+fXllBQYF21M/Ozg6dO3fWOV63bl29c2xsbLB582az+lASpVJZ6tE1URTx6quvVkg/\\\n",
       "gMcj8XXq1NGbxlq0D7179zZrRJEee5ojhAyXRFSZGAiJCADQv39/XLhwQftq06YNgP8Pg/fu3cP+\\\n",
       "/fuNjg4CQI0aNSCVSvVWDE1KSoKPjw8AwMfHBwqFAhkZGUbrGDJz5kxkZmZqX3FxcWbeafUnCAJ+\\\n",
       "+uknxMTEoH379hU2KmaqTp06GQwghdNKW7Zsid9//13v+KRJk/TKlEqlzijbk+FHFEWjz7FGRESY\\\n",
       "0fPSmT9/PnJzcw0eE0URWVlZ2Lp1K7y8vPDbb79VWD8AICsrC5cuXdJ5rrBw8Z+kpCS0b98eBw8e\\\n",
       "rNA+POueViBkCCSiysZASEQAHq+MWL9+fe3Lzs5OGwZjY2Nx4MABeHh4FNuGjY0NWrdurfNFVKPR\\\n",
       "4ODBg+jQoQMAoHXr1rC2ttapc/36ddy/f19bxxCZTAZnZ2edlyWTSCRo2bIlTp48iaysLISHh1d2\\\n",
       "l6DRaODn56e3+Mk///yD8ePH48KFCxg0aBDatWunU6foFGPgcQBMT08HAKhUKpw4cULn+HfffWew\\\n",
       "D1ZWVgYXopFIJGjSpAm6desGOzs7k+8NeHx/NWrU0Pllhlwux7Rp0yCTyeDi4oLhw4cjNTXVrPZN\\\n",
       "ERgYCHt7e2RmZiIqKgrNmzeHnZ0dbGxs4OPjo/fMI5nuaQTCYcOGlXOviYhMx0BIRAYplUq89NJL\\\n",
       "OHv2LDZt2gS1Wo3ExEQkJibqPEvVs2dPrFy5Uvt+2rRp+P7777F+/XpcvXoVb7/9NnJzczFmzBgA\\\n",
       "j1cvHTt2LKZNm4bDhw8jJiYGY8aMQYcOHdC+ffunfp9Vnb29Pezt7eHo6IjatWvj22+/1VvAxdbW\\\n",
       "Fn/99RdcXFwqqZf/Lz09HQsWLNC+F0URkyZN0gmAZ86cQcOGDSGXy6FWq3Hs2DGDbb366qtIT0/H\\\n",
       "119/jfz8fJ1ju3btMtqHDRs26Ly3s7NDcnIyLl26hMOHDyM3NxcnT54s1d6ORRUUFMDNzQ1OTk5w\\\n",
       "cnKCnZ0dli1bBqVSaXJb5pBKpVi3bh2uXr2KevXqISsrC/369cPFixchl8srfLN2Kl50dDT69Omj\\\n",
       "fS1evLjY+tu3bwfA7UCIqHKZ/rchEVmE+Ph4/PHHHwCAFi1a6Bw7fPgwunXrBuDxQhdPjogMGzYM\\\n",
       "KSkpmDNnDhITE9GiRQtERkbqjAItW7YMEokEgwcPhlwuR3h4OFavXl3h91QdPRmEcnNz8dZbb+Ho\\\n",
       "0aPYtGmTTj0rKysMHToU33///dPuop6FCxfivffeg4ODAzQaDR4+fKhXJzY2Fh4eHujXrx8OHDhg\\\n",
       "sJ2DBw+iRYsWBs/PysqCKIoGR2YGDRqEcePGYfPmzejQoQN2796tE/4EQUD79u2RnZ0NZ2dns8Jc\\\n",
       "Tk6OyecUZWVlhaZNm6JmzZo4d+4cEhMTiw0GXl5eePDggc4UYXd3d+Tl5ZW5L6TPlJG/wnoZGRnY\\\n",
       "t2+ftnzfvn2YOXNmsed89NFHZewpEVHZCCJ/LUVE1VBWVhaWLl1a4hc2iUSC2bNnP6VelT9D9yeR\\\n",
       "SKBQKPS2Wvj7778rfOqonZ0dduzYgRYtWuCjjz7C+vXrDdYr/KWBRqNBw4YNcfPmzXLvi1KpLHaU\\\n",
       "z1hgfNKxY8fQpUuX8u5aiWxsbBATE4PGjRtDEATk5OSgb9++OH78uMH6EokEeXl5kMlkOuUajQZW\\\n",
       "VlYmjTA9C3/tL1y4sMTR0Hnz5iEzM9Pk6eV9+vTBvn37sGvXrlLvg5mbm4sBAwbA1dUVoaGh2vKw\\\n",
       "sDCDgdDNzQ0ZGRkQBEF7H4U/q8/Cnw8RVS8cISQiqmY0Gg0yMjL0numsU6dOhV63bt26iI2NhUTy\\\n",
       "+GmDdevW4ezZs7h8+bJe3Rs3bqBbt24QBAFdu3atkECoUqmKDYSlGd3p2LEjBEEw+CXcWHl5mDBh\\\n",
       "Apo0aaLto5OTEyZMmGA0ENatW1cvDAKPg6JEIil2xVEyjzkjhKGhoYiMjCyxfuFzqIZ+aSEIAo4c\\\n",
       "OYKwsDDTOkxEZCY+Q0hEVA09ePBAr6y0oxnmEAQB0dHR2jBYaNWqVQbrPznq0bVr1wrpU3mENYlE\\\n",
       "YnRT+4rc7P7VV1/VCwLu7u5G67dt29boMXOehaSSVeSiMv3799eG+cJXIYlEwjBIRE8V/xYhIqrC\\\n",
       "TAk9NWvWfOrTzcLCwkq85qhRozBq1Kin1CPTPa0FYUoSHh5u1p9fQUFBBfSGzBkhLC1DiyIVtsHR\\\n",
       "XiJ62jhCSEREREREZKE4QkhERERUREWOEBrCxWSIqLIwEBIREREV8bQDIRFRZWEgJCIiIiqCgZCI\\\n",
       "LAUDIREREVERDIREZCkYCImIiIiKYCAkIkvBVUaJiIiIiIgsFEcIiYiIiIrgCCERWQoGQiIiIqIi\\\n",
       "GAiJyFIwEBIREREVwUBIRJaCgZCIiIioCAZCIrIUDIREREREBjDoEZEl4CqjREREREREFoojhERE\\\n",
       "RERFcMooEVkKBkIiIiKiIhgIichSMBASERERFcFASESWgoGQiIiIqAgGQiKyFAyEREREREUwEBKR\\\n",
       "pWAgJCIiIiqCgZCILAW3nSAiIiIiIrJQHCEkIiIiKoIjhERkKRgIiYiIiIpgICQiS8FASERERFQE\\\n",
       "AyERWQoGQiIiIqIiGAiJyFIwEBIREREVwUBIRJaCq4wSERERERFZKI4QEhERERXBEUIishQMhERE\\\n",
       "RERFMBASkaVgICQiIiIqgoGQiCwFAyERERFREQyERGQpGAiJiIiIimAgJCJLwVVGiYiIiIiILBRH\\\n",
       "CImIiIiK4AghEVkKBkIiIiIiAxj0iMgSMBASERERFcERQiKyFAyEREREREUwEBKRpWAgJCIiIiqC\\\n",
       "gZCILAUDIREREVERDIREZCm47QQREREREZGF4gghERERUREcISQiS8FASERERFQEAyERWQoGQiIi\\\n",
       "IqIiGAiJyFIwEBIREREVwUBIRJaCgZCIiIioCAZCIrIUXGWUiIiIiIjIQnGEkIiIiKiIihwhNFTf\\\n",
       "2toaCoXCpHaIiMoDRwiJiIiIiigMhKV9mUMqlWrPVSqVGD16dDneARFR6TAQEhERERVRkYFQFEWI\\\n",
       "ogiVSgWNRoOgoCAAwPr16yviVoiIisUpo0T0TNNoNFi4cGFld4OIypFGo6nwa5gzZTQ6Ohp9+vTR\\\n",
       "loeFhWHmzJklnn///n0AgETC39MT0dPHQEhEz7yn8eWRiJ4t5gTCjIwM7Nu3T1u+b9++EgPhlStX\\\n",
       "IJfLAQBqtdrM3hIRmY+BkIiIiKgcuLq6IjQ0VPs+LCysxHOaNGkCAHB3d6+wfhERFYeBkIiIiKgI\\\n",
       "c0YIQ0NDERkZadI1AMDBwQFpaWmmd5KIqBxwsjoRlcpbb70FQRDw1VdflVh31apVqFOnDmxtbREa\\\n",
       "GorTp0/rHC8oKMCECRPg4eEBR0dHDB48GElJSRXUcyIi01XkojIpKSnac6ytrZGTk1MRt0BEVCoM\\\n",
       "hERUot9//x2nTp2Cn59fiXW3bduGadOmYe7cuTh37hyaN2+O8PBwJCcna+u88847+PPPP7Fjxw5E\\\n",
       "RUUhISEBgwYNqshbICIySUUGQi8vL51/9/f3h7+/P955553yvg0iohIxEBJRseLj4zFp0iRs2rQJ\\\n",
       "1tbWJdZfunQp3njjDYwZMwaNGzfGmjVrYG9vjx9//BEAkJmZiR9++AFLly5Fjx490Lp1a/z00084\\\n",
       "ceIETp06VdG3Q0RUahW5B2Gh+Ph47as0MzCIiMobAyERGaXRaPDaa6/h/fff1y58UByFQoGYmBj0\\\n",
       "6tVLWyaRSNCrVy+cPHkSABATEwOlUqlTJzg4GLVr19bWISKqbE9jH0JDLyKip42LyhCRUZ9++ims\\\n",
       "rKwwefLkUtVPTU2FWq2Gt7e3Trm3tzeuXbsGAEhMTISNjQ1cXV316iQmJhptWy6Xa5dmB4CsrKxS\\\n",
       "3gURERERGcMRQiICAGzatAmOjo7aV1RUFJYvX45169aVeUpUeVi8eDFcXFy0r1q1alV2l4joGVaR\\\n",
       "I4RERFUJAyERAQD69++PCxcuaF8nTpxAcnIyateuDSsrK1hZWeHevXt49913UadOHYNt1KhRA1Kp\\\n",
       "VG/F0KSkJPj4+AAAfHx8oFAokJGRYbSOITNnzkRmZqb2FRcXV6b7JSIqDgMhEVkKThklIgCAk5MT\\\n",
       "nJyctO/ffPNNvPjiizp1wsPD8dprr2HMmDEG27CxsUHr1q1x8OBBREREAHj8HOLBgwcxceJEAEDr\\\n",
       "1q1hbW2NgwcPYvDgwQCA69ev4/79++jQoYPR/slkMshksrLcIhFRqZmzDyERUXXEQEhEBnl4eMDD\\\n",
       "w0OnzNraGj4+PmjYsKG2rGfPnhg4cKA28E2bNg2jRo1CmzZt0K5dO3z11VfIzc3VhkgXFxeMHTsW\\\n",
       "06ZNg7u7O5ydnTFp0iR06NAB7du3f3o3SERUDAZCIrIUDIREVCa3bt1Camqq9v2wYcOQkpKCOXPm\\\n",
       "IDExES1atEBkZKTOQjPLli2DRCLB4MGDIZfLER4ejtWrV1dG94mIDGIgJCJLwUBIRKV29+7dUpVN\\\n",
       "nDhRO2JoiK2tLVatWoVVq1aVY++IiMoPAyERWQouKkNERERERGShOEJIREREVARHCInIUjAQEhER\\\n",
       "ERXBQEhEloKBkIiIiKgIBkIishQMhERERERFMBASkaVgICQiIiIqgoGQiCwFVxklIiIiIiKyUBwh\\\n",
       "JCIiIiqCI4REZCkYCImIiIiKYCAkIkvBQEhERERUBAMhEVkKBkIiIiKiIhgIichSMBASERERFcFA\\\n",
       "SESWgquMEhERERERWSiOEBJRtSSKYmV3gYiquLL8fyI7O7vUI3/Z2dlmX4eIqLIxEBJRtZSdnY35\\\n",
       "8+dXdjeIqArLzs6Gi4uLSee0adMG+/btQ61atUy+Xps2bUw+h4iosgkif81ORNWQRqNBQkICnJyc\\\n",
       "LPr5naysLNSqVQtxcXFwdnau7O5UGn4Oj/FzeEwURWRnZ8PPzw8SielPx8yaNQtnz5416Zw2bdpg\\\n",
       "0aJFJl+LiKiyMRASEVVjWVlZcHFxQWZmpkUHAH4Oj/FzICIiU3FRGSIiIiIiIgvFQEhERERERGSh\\\n",
       "GAiJiKoxmUyGuXPnQiaTVXZXKhU/h8f4ORARkan4DCEREREREZGF4gghERERERGRhWIgJCIiIiIi\\\n",
       "slAMhERERERERBaKgZCIqApRKpWYMWMGQkJC4ODgAD8/P4wcORIJCQklnrtq1SrUqVMHtra2CA0N\\\n",
       "xenTp3WOFxQUYMKECfDw8ICjoyMGDx6MpKSkirqVMinpXorasWMHgoODYWtri5CQEOzZs0fnuCiK\\\n",
       "mDNnDnx9fWFnZ4devXohNja2Im+hzBYvXoy2bdvCyckJXl5eiIiIwPXr10s871n8LIiIqOIwEBIR\\\n",
       "VSF5eXk4d+4cZs+ejXPnzuG3337D9evX0b9//2LP27ZtG6ZNm4a5c+fi3LlzaN68OcLDw5GcnKyt\\\n",
       "88477+DPP//Ejh07EBUVhYSEBAwaNKiib8lkpbmXJ504cQLDhw/H2LFjcf78eURERCAiIgKXLl3S\\\n",
       "1vnss8+wYsUKrFmzBtHR0XBwcEB4eDgKCgqe1m2ZLCoqChMmTMCpU6ewf/9+KJVK9O7dG7m5uUbP\\\n",
       "eVY/CyIiqkAiERFVaadPnxYBiPfu3TNap127duKECRO079Vqtejn5ycuXrxYFEVRzMjIEK2trcUd\\\n",
       "O3Zo61y9elUEIJ48ebLiOm+Gku6lqKFDh4r9+vXTKQsNDRXHjRsniqIoajQa0cfHR/z888+1xzMy\\\n",
       "MkSZTCZu2bKlAu6gYiQnJ4sAxKioKKN1LOWzICKi8sMRQiKiKi4zMxOCIMDV1dXgcYVCgZiYGPTq\\\n",
       "1UtbJpFI0KtXL5w8eRIAEBMTA6VSqVMnODgYtWvX1tapCkpzL0WdPHlSpz4AhIeHa+vfuXMHiYmJ\\\n",
       "OnVcXFwQGhpape69JJmZmQAAd3d3o3Us5bMgIqLyw0BIRFSFFRQUYMaMGRg+fDicnZ0N1klNTYVa\\\n",
       "rYa3t7dOube3NxITEwEAiYmJsLGx0QuVT9apCkpzL0UlJiaWeO+FZaVts6rRaDSYOnUqOnXqhKZN\\\n",
       "mxqtZwmfBRERlS8GQiKiSrRp0yY4OjpqX//884/2mFKpxNChQyGKIr755ptK7CVVtgkTJuDSpUvY\\\n",
       "unVrZXeFiIieMVaV3QEiIkvWv39/hIaGat/XrFkTwP+HwXv37uHQoUNGRwcBoEaNGpBKpXorhiYl\\\n",
       "JcHHxwcA4OPjA4VCgYyMDJ1RwifrVAWluZeifHx8Srz3wjJfX1+dOi1atCjH3leMiRMn4q+//sLR\\\n",
       "o0fh7+9fbN1n/bMgIqLyxxFCIqJK5OTkhPr162tfdnZ22jAYGxuLAwcOwMPDo9g2bGxs0Lp1axw8\\\n",
       "eFBbptFocPDgQXTo0AEA0Lp1a1hbW+vUuX79Ou7fv6+tUxWU5l6K6tChg059ANi/f7+2fmBgIHx8\\\n",
       "fHTqZGVlITo6ukrde1GiKGLixIn4/fffcejQIQQGBpZ4zrP6WRARUQWq7FVtiIjo/ykUCrF///6i\\\n",
       "v7+/eOHCBfHhw4fal1wu19br0aOH+PXXX2vfb926VZTJZOK6devEK1euiG+++abo6uoqJiYmauu8\\\n",
       "9dZbYu3a/9fe/YU03cVxHP8s2lY2rAhZeDGTaIGRWFQwvCgQKhKxLqQL3ZIy+kMX3VmELegvJSQG\\\n",
       "dlVdDCkqAoOim0rSQuJHQYHSxUovKsqoVuAkaue5eGC0fFY9082N3/sFg+38vud8f2fs5sOZzmfu\\\n",
       "3btnLMsygUDABAKBnO7vb/xpL8Fg0Bw4cCBZ//DhQzNz5kzT3t5uhoaGTDgcNk6n0zx//jxZc+rU\\\n",
       "KTNv3jzT09Njnj17Zurr6015ebmJx+M539/f2rNnj5k7d67p7e1N+RyMjY0la+zyXgAAsodACAB5\\\n",
       "5NWrV0bSfz7u37+frCsrKzPhcDhl7rlz54zP5zMul8usWbPGDAwMpFyPx+Nm7969Zv78+aaoqMhs\\\n",
       "2bLFvH37Nge7+v9+t5e1a9eabdu2pdRfvXrV+P1+43K5zLJly8ytW7dSricSCdPW1ma8Xq9xu92m\\\n",
       "pqbGvHjxIhdbyVi6z8GlS5eSNXZ5LwAA2eMwxpjpOZsEAAAAAEwn/oYQAAAAAGyKQAgAAAAANkUg\\\n",
       "BAAAAACbIhACAAAAgE0RCAEAAADApgiEAAAAAGBTBEIAAAAAsCkCIQAAAADYFIEQAFAQLly4oPXr\\\n",
       "12e9z507d1RVVaVEIpH1XgAATDcCIQAg742Pj6utrU3hcDjrvTZu3Cin06nu7u6s9wIAYLoRCAEA\\\n",
       "ee/69esqLi5WdXV1Tvo1Nzers7MzJ70AAJhOBEIAQM6Mjo5q4cKFOnHiRHLs0aNHcrlcunv3btp5\\\n",
       "V65cUV1dXcrYunXrtH///pSxzZs3q7m5Ofl60aJFOnbsmEKhkDwej8rKynTz5k2Njo6qvr5eHo9H\\\n",
       "lZWVsiwrZZ26ujpZlqVoNJr5ZgEAKAAEQgBAzpSUlOjixYs6cuSILMvS169fFQwGtW/fPtXU1KSd\\\n",
       "19/fr1WrVmXU8+zZs6qurtbTp09VW1urYDCoUCikpqYmPXnyRIsXL1YoFJIxJjnH5/PJ6/Wqr68v\\\n",
       "o54AABQKAiEAIKc2bdqknTt3qrGxUbt379acOXN08uTJtPWfP39WLBZTaWlpxv127dqlJUuW6PDh\\\n",
       "w/ry5YtWr16thoYG+f1+tba2amhoSO/evUuZV1paqpGRkYx6AgBQKAiEAICca29v1/fv33Xt2jV1\\\n",
       "d3fL7XanrY3H45KkWbNmZdSrsrIy+dzr9UqSli9fPmHs/fv3KfNmz56tsbGxjHoCAFAoCIQAgJyL\\\n",
       "RqN68+aNEomEhoeHf1u7YMECORwOffr06Y/r/vjxY8KY0+lMPnc4HGnHfv2ZiY8fP6qkpOSPPQEA\\\n",
       "KGQEQgBATn379k1NTU3aunWrjh49qpaWlgmncz9zuVyqqKjQ4ODghGu/fs3z5cuXU3KP4+Pjikaj\\\n",
       "WrFixZSsBwBAviIQAgBy6tChQ4rFYurs7FRra6v8fr+2b9/+2zkbNmxQf3//hPGenh7duHFD0WhU\\\n",
       "x48f1+DgoEZGRvT69etJ3ePAwIDcbrcCgcCk1gEAIN8RCAEAOdPb26uOjg5FIhEVFxdrxowZikQi\\\n",
       "6uvr0/nz59PO27Fjh27fvq1YLJYyXltbq9OnT6uiokIPHjxQV1eXHj9+rEgkMqn7vHz5shobG1VU\\\n",
       "VDSpdQAAyHcO8/P/2QYAIE81NDRo5cqVOnjwoKR/f4ewqqpKHR0dU9rnw4cPWrp0qSzLUnl5+ZSu\\\n",
       "DQBAvuGEEABQEM6cOSOPx5P1PsPDw+rq6iIMAgBsgRNCAEBBytYJIQAAdkIgBAAAAACb4iujAAAA\\\n",
       "AGBTBEIAAAAAsCkCIQAAAADYFIEQAAAAAGyKQAgAAAAANkUgBAAAAACbIhACAAAAgE0RCAEAAADA\\\n",
       "pgiEAAAAAGBTBEIAAAAAsCkCIQAAAADYFIEQAAAAAGyKQAgAAAAANkUgBAAAAACb+gcUl/PLckzY\\\n",
       "UgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[20] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAisxJREFUeJzs3Xd4VMXiPvD37GaTTW+EFAIh9F4koWMQInCpAQREFEQEpKiI\\\n",
       "CogCEtFYLkUUiY2iomBQ4FJEIHQILdQgTWpISCO9bT2/P/hlv2x2N2Wzaez7eZ59Ljtnzpw5m3jZ\\\n",
       "l5kzI4iiKIKIiIiIiIisjqS6O0BERERERETVg4GQiIiIiIjISjEQEhERERERWSkGQiIiIiIiIivF\\\n",
       "QEhERERERGSlGAiJiIiIiIisFAMhERERERGRlWIgJCIiIiIislIMhERERERERFaKgZCIiIiIiMhK\\\n",
       "MRASERERERFZKQZCIiIiIiIiK8VASEREREREZKUYCImIiIiIiKwUAyEREZnl4MGDEAQBBw8erO6u\\\n",
       "kIWdOnUKtra2uHv3bpVf++HDh3B0dMSuXbuq/NpERNaIgZCIiEr0zTffYN26ddXdDbP8+uuvWLFi\\\n",
       "RXV3AwCg1Wrx+eefIzAwEHK5HO3atcNvv/1W5vMzMzMxZcoUeHl5wdHREc888wzOnj1rUG/Tpk14\\\n",
       "8cUX0bRpUwiCgN69e5e7r++//z7Gjh2LgICAcp9bUZ6ennj11VexYMGCKr82EZE1EkRRFKu7E0RE\\\n",
       "VHO1adMGderUMRgJ1Gq1UCqVsLW1hURSM/99cfDgwYiLi8OdO3equyt477338Omnn2Ly5MkIDg7G\\\n",
       "tm3bsHPnTvz22294/vnnSzxXq9WiV69euHDhAt59913UqVMH33zzDeLj4xEbG4umTZvq6vbu3Rux\\\n",
       "sbEIDg7G+fPn0a5du3KN4p4/fx4dO3bE8ePH0a1bN3Nvt0KuXLmCVq1aITo6Gn369KmWPhARWQsG\\\n",
       "QiKiMsjLy4Ojo2N1d6NamAqEtUFNCYQJCQkIDAzElClT8PXXXwMARFFESEgIbt++jTt37kAqlZo8\\\n",
       "//fff8eYMWMQFRWF5557DgCQmpqKZs2a4T//+Q9+/fVXXd34+HjUq1cPEonErJ/dm2++ia1bt+LO\\\n",
       "nTsQBMG8G7aAtm3bomPHjvjpp5+qrQ9ERNagZv6TLhFRJUpISMCkSZPg5+cHOzs7BAYGYtq0aVAq\\\n",
       "lQCAdevWQRAEHDp0CNOnT0fdunXh7++vO/+bb75B69atYWdnBz8/P8yYMQOZmZl617hx4wZGjhwJ\\\n",
       "Hx8fyOVy+Pv74/nnn0dWVpauzt69e9GzZ0+4ubnByckJzZs3x/z580vtf1nOUygUWLRoEZo0aQI7\\\n",
       "OzvUr18fc+bMgUKhMGjvl19+QefOneHg4AB3d3c8/fTT2LNnDwCgYcOGuHz5Mg4dOgRBEPSmIJp6\\\n",
       "hjAqKgqdOnWCvb096tSpgxdffBEJCQl6dV5++WU4OTkhISEBYWFhcHJygpeXF9555x1oNJpSP4Nt\\\n",
       "27Zh0KBBup9h48aN8dFHH+md27t3b+zcuRN3797V9b1hw4Ym23z55Zd19Yq/Pvzww1L7VFp/VSoV\\\n",
       "pk+frisTBAHTpk3D/fv3ERMTU+L5mzdvhre3N0aMGKEr8/LywujRo7Ft2za9n2v9+vUrNGK7detW\\\n",
       "9OnTxyAMmvocGjZsiJdffln3vui/n6NHj+KNN96Al5cX3NzcMHXqVCiVSmRmZmL8+PFwd3eHu7s7\\\n",
       "5syZA2P/Nv3ss89i+/btRo8REZHl2FR3B4iIqlJiYiI6d+6sex6rRYsWSEhIwObNm5Gfnw9bW1td\\\n",
       "3enTp8PLywsLFy5EXl4eAODDDz/E4sWLERoaimnTpuHatWtYvXo1Tp8+jWPHjkEmk0GpVKJ///5Q\\\n",
       "KBR4/fXX4ePjg4SEBOzYsQOZmZlwdXXF5cuXMXjwYLRr1w7h4eGws7PDv//+i2PHjpXY/7Kcp9Vq\\\n",
       "MXToUBw9ehRTpkxBy5YtcenSJSxfvhzXr1/H1q1bdXUXL16MDz/8EN27d0d4eDhsbW1x8uRJ7N+/\\\n",
       "H/369cOKFSvw+uuvw8nJCe+//z4AwNvb22T/1q1bh4kTJyI4OBgRERFITk7Gl19+iWPHjuHcuXNw\\\n",
       "c3PT1dVoNOjfvz+6dOmC//73v9i3bx+WLl2Kxo0bY9q0aSV+DuvWrYOTkxNmz54NJycn7N+/HwsX\\\n",
       "LkR2dja++OILAI+eg8vKysL9+/exfPlyAICTk5PJNqdOnYrQ0FC9st27d2PDhg2oW7euriwtLa3E\\\n",
       "vhVxdnaGnZ0dAODcuXNwdHREy5Yt9ep07txZd7xnz54m2zp37hyeeuopg6DXuXNnfPfdd7h+/Tra\\\n",
       "tm1bpn6VJCEhAffu3cNTTz1V4baKfvcXL16MEydO4LvvvoObmxuOHz+OBg0a4JNPPsGuXbvwxRdf\\\n",
       "oE2bNhg/frze+Z06dcLy5ctx+fJltGnTpsL9ISIiE0QiIisyfvx4USKRiKdPnzY4ptVqRVEUxbVr\\\n",
       "14oAxJ49e4pqtVp3PCUlRbS1tRX79esnajQaXfnXX38tAhDXrFkjiqIonjt3TgQgRkVFmezH8uXL\\\n",
       "RQBiampqufpflvN+/vlnUSKRiEeOHNErj4yMFAGIx44dE0VRFG/cuCFKJBJx+PDhevcjiv/3WYii\\\n",
       "KLZu3VoMCQkxuM6BAwdEAOKBAwdEURRFpVIp1q1bV2zTpo1YUFCgq7djxw4RgLhw4UJd2YQJE0QA\\\n",
       "Ynh4uF6bHTt2FDt16lTyhyCKYn5+vkHZ1KlTRQcHB7GwsFBXNmjQIDEgIKDU9oy5ceOG6OrqKj77\\\n",
       "7LN6vwcAyvRau3atXj8aNWpkcI28vDwRgDhv3rwS++Lo6Ci+8sorBuU7d+4UAYi7d+82ep6pn50p\\\n",
       "+/btEwGI27dvNzgGQFy0aJFBeUBAgDhhwgTd+6L/fvr376/3e9StWzdREATxtdde05Wp1WrR39/f\\\n",
       "aB+PHz8uAhA3bdpU5v4TEVH5ccooEVkNrVaLrVu3YsiQIQgKCjI4XnyK3OTJk/We69q3bx+USiVm\\\n",
       "zZqlN1IzefJkuLi4YOfOnQAAV1dXAMDff/+N/Px8o30pGinbtm0btFptme+hLOdFRUWhZcuWaNGi\\\n",
       "BdLS0nSvosU5Dhw4AODR1ECtVouFCxcajDyZ8+zYmTNnkJKSgunTp0Mul+vKBw0ahBYtWug+n8e9\\\n",
       "9tpreu979eqFW7dulXote3t73Z9zcnKQlpaGXr16IT8/H1evXi1334vLy8vD8OHD4e7ujt9++03v\\\n",
       "92Dv3r1levXv3193TkFBgW608HFFn1NBQUGJ/ano+WX18OFDAIC7u3uF25o0aZLe71GXLl0giiIm\\\n",
       "TZqkK5NKpQgKCjL6My/qQ1lHZImIyDycMkpEViM1NRXZ2dllnn4WGBio975oT7bmzZvrldva2qJR\\\n",
       "o0a644GBgZg9ezaWLVuGDRs2oFevXhg6dChefPFFXVgcM2YMfvjhB7z66quYN28e+vbtixEjRuC5\\\n",
       "554r8fmvspx348YNXLlyBV5eXkbbSElJAQDcvHkTEokErVq1KtPnURpTnw8AtGjRAkePHtUrk8vl\\\n",
       "Bn10d3dHRkZGqde6fPkyPvjgA+zfvx/Z2dl6xx5/TtNckydPxs2bN3H8+HF4enrqHSs+rbQs7O3t\\\n",
       "jT6/WVhYqDtemeeXl2iB5/YaNGig977od79+/foG5cZ+5kV9qM6FbYiIrAEDIRGRCRX5kr106VK8\\\n",
       "/PLL2LZtG/bs2YM33ngDEREROHHiBPz9/WFvb4/Dhw/jwIED2LlzJ3bv3o1NmzahT58+2LNnj8kV\\\n",
       "J8tynlarRdu2bbFs2TKjbRT/Ql5dSlpVsySZmZkICQmBi4sLwsPD0bhxY8jlcpw9exZz584t14ir\\\n",
       "MV9++SV+++03/PLLL+jQoYPB8aSkpDK14+rqqvsd8vX1xYEDByCKol7AefDgAQDAz8+vxLZ8fX11\\\n",
       "dR9X1vPLqij8liWUFzEVHk39fI2VG2ujqA916tQpc1+IiKj8OGWUiKyGl5cXXFxcEBcXZ9b5RZt0\\\n",
       "X7t2Ta9cqVTi9u3bBpt4t23bFh988AEOHz6MI0eOICEhAZGRkbrjEokEffv2xbJly/DPP//g448/\\\n",
       "xv79+3VTOk0p7bzGjRsjPT0dffv2RWhoqMGraASvcePG0Gq1+Oeff0q8XllHaEx9PkVlltrk/ODB\\\n",
       "g3j48CHWrVuHN998E4MHD0ZoaKjRaY7lHV06cuQI3nnnHcyaNQvjxo0zWsfX17dMr02bNunO6dCh\\\n",
       "A/Lz83HlyhW9tk6ePKk7XpIOHTrg7NmzBmH35MmTcHBwQLNmzcp1n6a0aNECAHD79m2jx3NycgzK\\\n",
       "ikacLa2oD8UX4iEiIstiICQiqyGRSBAWFobt27fjzJkzBsdLmyYXGhoKW1tbrFy5Uq/ujz/+iKys\\\n",
       "LAwaNAgAkJ2dDbVarXdu27ZtIZFIdNP+0tPTDdovCgXGpgYWKct5o0ePRkJCAr7//nuDugUFBboV\\\n",
       "U8PCwiCRSBAeHm4QNB6/P0dHR4NtNYwJCgpC3bp1ERkZqXcPf/31F65cuaL7fCqqaITp8T4qlUp8\\\n",
       "8803BnUdHR3LPIX0wYMHGD16NHr27KlbqdQYc54hHDZsGGQymV4fRVFEZGQk6tWrh+7du+v14+rV\\\n",
       "q1CpVLqy5557DsnJyfjzzz91ZWlpaYiKisKQIUOMPl9ojnr16qF+/fpG//sAYLDFyF9//YXCwsJK\\\n",
       "2RoiNjYWrq6uaN26tcXbJiKi/8Mpo0RkVT755BPs2bMHISEhui0ZHjx4gKioKBw9elRvW4TivLy8\\\n",
       "8N5772Hx4sUYMGAAhg4dimvXruGbb75BcHAwXnzxRQDA/v37MXPmTIwaNQrNmjWDWq3Gzz//DKlU\\\n",
       "ipEjRwIAwsPDcfjwYQwaNAgBAQFISUnBN998A39//xK3HyjLeS+99BJ+//13vPbaazhw4AB69OgB\\\n",
       "jUaDq1ev4vfff8fff/+NoKAgNGnSBO+//z4++ugj9OrVCyNGjICdnR1Onz4NPz8/REREAHi0/P/q\\\n",
       "1auxZMkSNGnSBHXr1tUtUPM4mUyGzz77DBMnTkRISAjGjh2r23aiYcOGeOutt8z9senp3r073N3d\\\n",
       "MWHCBLzxxhsQBAE///yz0VDSqVMnbNq0CbNnz0ZwcDCcnJwwZMgQo+2+8cYbSE1NxZw5c7Bx40a9\\\n",
       "Y+3atUO7du0AmPcMob+/P2bNmoUvvvgCKpUKwcHB2Lp1K44cOYINGzboTaN87733sH79ety+fVu3\\\n",
       "b+Jzzz2Hrl27YuLEifjnn39Qp04dfPPNN9BoNFi8eLHetQ4fPozDhw8DePTcbF5eHpYsWQIAePrp\\\n",
       "p/H000+X2Ndhw4Zhy5YtBtNbAeDKlSsYOHAghg4disTERHz55ZdwdXXF8ePH8dtvv2Hs2LHl/mxM\\\n",
       "2bt3L4YMGcJnCImIKlt1LG1KRFSd7t69K44fP1708vIS7ezsxEaNGokzZswQFQqFKIr/t2y+sa0p\\\n",
       "RPHRNhMtWrQQZTKZ6O3tLU6bNk3MyMjQHb9165b4yiuviI0bNxblcrno4eEhPvPMM+K+fft0daKj\\\n",
       "o8Vhw4aJfn5+oq2trejn5yeOHTtWvH79eol9L+t5SqVS/Oyzz8TWrVuLdnZ2oru7u9ipUydx8eLF\\\n",
       "YlZWll7dNWvWiB07dtTVCwkJEffu3as7npSUJA4aNEh0dnYWAei2CCi+7USRTZs26drz8PAQx40b\\\n",
       "J96/f1+vzoQJE0RHR0eD+1u0aJFYlr+ajh07Jnbt2lW0t7cX/fz8xDlz5oh///23QX9yc3PFF154\\\n",
       "QXRzcxMBlLgFRUhIiMktJIxtt1BeGo1G/OSTT8SAgADR1tZWbN26tfjLL78Y1CvakuP27dt65enp\\\n",
       "6eKkSZNET09P0cHBQQwJCTH6O1r0GZp7H2fPnhUBGGxbAkCcPXu2OGrUKNHe3l709fUVv/76azEy\\\n",
       "MlJ0cHAQX331VVEUTf/3U9Sv4lumGPtduHLlighA778ZIiKqHIIoVsI8DyIiIqq1+vbtCz8/P/z8\\\n",
       "88+6MkEQsGjRInz44YeVfv1Zs2bh8OHDiI2N5QghEVEl4zOEREREpOeTTz7Bpk2bdFuJVKWHDx/i\\\n",
       "hx9+wJIlSxgGiYiqAJ8hJCIiIj1dunSBUqmslmt7enoiNze3Wq5NRGSNOEJIRERERERkpThCSERE\\\n",
       "RKXikgNERE8mjhASERERERFZKQZCIiIiIiIiK8Upo0RUK2m1WiQmJsLZ2ZkrERKRHlEUkZOTAz8/\\\n",
       "P0gk5f+373nz5uHMmTPlOicoKAiffvppua9FRFTdGAiJqFZKTEzEDz/8UN3dIKIaavHixYiPj4e/\\\n",
       "v3+5zps3bx4+++yzcl8vOjoaABgKiajWYSAkolrJ2dkZADg6SEQmFf3/RHmUd2TQ3HON/X9X0cI9\\\n",
       "P/74I1599VWD43Xq1EFqaqrZ/SMiMoaBkIhqJQZBIipNRf9/oqznW3oF1vXr1+v+bGNjA7VaDQBI\\\n",
       "S0uz6HWIiAAGQiIiIiIDgiCUK1CWNxQ+Xr/4dQ4fPmy0PwDg4uKC7Ozscl2LiKgkDIRERERExZgT\\\n",
       "CE+fPo3Q0FBdWUhICBYsWGDRfnXu3Nmi7RERMRASERERFVPeQAgA2dnZusVlgEcLzVgiEM6bN0/3\\\n",
       "53379lW4PSKixzEQEhERERVjTiB0cXFBcHCw7n1ISEiF+/Hjjz/qVj3t27dvhdsjIiqOgZCIiIio\\\n",
       "GHMCYXBwsEVH8B5fbbRly5YcHSSiSlH+3VqJiIiIqFI9HgYDAwPxzz//VHOPiOhJxUBIREREVEzR\\\n",
       "CGFZX+U1YsQIg3MFQYCLi4vBPoQFBQXw9fWFr68vVqxYYYnbIyLSYSAkIiIiKqayA+GWLVuMlufk\\\n",
       "5OD111/XK0tKStK93nrrLbPuh4jIFD5DSERERFSMuUGvrCy9mT0RkbkYCImIiIiKqexASERUUzAQ\\\n",
       "EhERERXDQEhE1oLPEBIREREREVkpjhASERERFcMRQiKyFhwhJKIy+/TTTyEIAmbNmlVivaioKLRo\\\n",
       "0QJyuRxt27bFrl279I6LooiFCxfC19cX9vb2CA0NxY0bNyqx50RE5VPZq4wSEdUUDIREVCanT5/G\\\n",
       "t99+i3bt2pVY7/jx4xg7diwmTZqEc+fOISwsDGFhYYiLi9PV+fzzz7Fy5UpERkbi5MmTcHR0RP/+\\\n",
       "/VFYWFjZt0FEVCYMhERkLRgIiahUubm5GDduHL7//nu4u7uXWPfLL7/EgAED8O6776Jly5b46KOP\\\n",
       "8NRTT+Hrr78G8Gh0cMWKFfjggw8wbNgwtGvXDj/99BMSExOxdevWKrgbIqLSMRASkbVgICSiUs2Y\\\n",
       "MQODBg1CaGhoqXVjYmIM6vXv3x8xMTEAgNu3byMpKUmvjqurK7p06aKrY4xCoUB2drbei4iosjAQ\\\n",
       "EpG1YCAkohJt3LgRZ8+eRURERJnqJyUlwdvbW6/M29sbSUlJuuNFZabqGBMREQFXV1fdq379+uW5\\\n",
       "DSIiIiIygoGQiEyKj4/Hm2++iQ0bNkAul1drX9577z1kZWXpXvHx8dXaHyJ6snGEkIisBbedICKT\\\n",
       "YmNjkZKSgqeeekpXptFocPjwYXz99ddQKBSQSqV65/j4+CA5OVmvLDk5GT4+PrrjRWW+vr56dTp0\\\n",
       "6GCyL3Z2drCzs6voLRERlQmDHhFZC44QEpFJffv2xaVLl3D+/HndKygoCOPGjcP58+cNwiAAdOvW\\\n",
       "DdHR0Xple/fuRbdu3QAAgYGB8PHx0auTnZ2NkydP6uoQEdUEHB0kImvAEUIiMsnZ2Rlt2rTRK3N0\\\n",
       "dISnp6eufPz48ahXr57uGcM333wTISEhWLp0KQYNGoSNGzfizJkz+O677wBAt4/hkiVL0LRpUwQG\\\n",
       "BmLBggXw8/NDWFhYld4fEZEp5Ql7DIVEVJsxEBJRhdy7dw8Syf9NNujevTt+/fVXfPDBB5g/fz6a\\\n",
       "Nm2KrVu36gXLOXPmIC8vD1OmTEFmZiZ69uyJ3bt3V/tzikRERRgIichaMBASUbkcPHiwxPcAMGrU\\\n",
       "KIwaNcpkG4IgIDw8HOHh4RbuHRGRZTAQEpG14DOEREREREREVoojhERERETFcISQiKwFAyERPfH4\\\n",
       "ZY3oySKKYqVfg4GQiKwFAyERPdEEQcDChQuruxtEZEHh4eGVHgoZCInIWjAQEhERERXDQEhE1oKB\\\n",
       "kIiIiKgYBkIishZcZZSIiIiIiMhKcYSQiIiIqBiOEBKRtWAgJCIiIiqGgZCIrAUDIREREVExDIRE\\\n",
       "ZC0YCImIiIiKYSAkImvBQEhERERUDAMhEVkLrjJKRERERERkpThCSERERFQMRwiJyFowEBIREREV\\\n",
       "w0BIRNaCgZCIiIioGAZCIrIWDIRERERExTAQEpG1YCAkIiIiMoJBj4isAVcZJSIiIiIislIcISQi\\\n",
       "IiIqhlNGichaMBASERERFcNASETWgoGQiIiIqBgGQiKyFgyERERERMUwEBKRtWAgJCIiIiqGgZCI\\\n",
       "rAUDIREREVExDIREZC247QQREREREZGV4gghERERUTEcISQia8FASERERFQMAyERWQtOGSUiIiIq\\\n",
       "pigQlvVlifYfl5KSYnBcJpNZ6vaIiHQYCImIiIiKqexAWBpvb2+DMrVajXnz5ln8WkRk3RgIiYiI\\\n",
       "iIqp7EAoiqLuVVxKSopBvV69egEAPvvsM/NviojICAZCIiIiohqkQYMGBmWHDx+uhp4QkTXgojJE\\\n",
       "RERExZizqMzp06cRGhqqKw8JCcGCBQvKfW2FQgEAqFu3brnPJSIqLwZCIiIiomLMCYTZ2dmIjo7W\\\n",
       "lUdHR5sVCImIqhIDIREREVEx5gRCFxcXBAcH68pDQkLMuradnR0UCoXes4RERJWFgZCIiIioGHMC\\\n",
       "YXBwMPbt21fha9+7d89gldHHp6ISEVkSAyERERFRMZW9Mf2IESOwZcsWg3acnZ2RnZ1t0I+i1Ujn\\\n",
       "zp1b7msREZWEq4wSERERVbHiYbBITk4OACA5OVlXVhQGbWxs8Omnn1Z+54jIqnCEkIiIiKiYyh4h\\\n",
       "NLb/4OPq1q1bah0iIktgICQiIiIywpygR0RU2zAQEhERERVT2SOEREQ1BQMhERERUTEMhERkLRgI\\\n",
       "iYiIiIphICQia8FASERERFQMAyERWQtuO0FERERERGSlOEJIREREVAxHCInIWjAQEhERERXDQEhE\\\n",
       "1oKBkIiIiKgYBkIishYMhERERETFMBASkbVgICQiIiIqhoGQiKwFVxklIiIiIiKyUgyEREQ1WNEo\\\n",
       "xeMve3v76u5WlUpMTIREIjH6WZT2srW1LbX9oUOHmtW2JV4ymQwzZ87EggULYG9vXyXXpLLh50pE\\\n",
       "1oJTRomIaplWrVpVdxeq1N27dyGKolnnenp6llrnxIkTZrVtCWq1Gt999x1sbGxQWFhYbf0gQ5wy\\\n",
       "SkTWgoGQiKgWEQQB+/btq+5uVKlz586Zfe7vv/9e4vHc3FykpaWZ3b4lqFQqqFSqau0DGWIgJCJr\\\n",
       "wSmjREQ1WN26deHm5gZHR0c0bdoU9+/fh7u7e3V3q0p5e3uXeNzUF/fAwED06tWrxHMHDRpk9ugj\\\n",
       "Pdk4ZZSIrAUDIRGZFBERgeDgYDg7O6Nu3boICwvDtWvXSj0vKioKLVq0gFwuR9u2bbFr1y6946Io\\\n",
       "YuHChfD19YW9vT1CQ0Nx48aNyrqNWi05ORkZGRnIzc3F9evX4efnV91dqnIDBw40Wm5jY4N///0X\\\n",
       "Go0GWq0WGo0GycnJ2LJlC+7cuYNbt26V2O6VK1dw+PBhs/o0fvx4XL9+HREREZBI+Ffpk4iBkIis\\\n",
       "Bf8WIyKTDh06hBkzZuDEiRPYu3cvVCoV+vXrh7y8PJPnHD9+HGPHjsWkSZNw7tw5hIWFISwsDHFx\\\n",
       "cbo6n3/+OVauXInIyEicPHkSjo6O6N+/P5+hIqPs7e2xYMECvTIfHx8oFAo0btxY92VcIpHo/uEi\\\n",
       "ICCgxDYvXryI1q1bm9WfY8eOYf369WjatCnmzZsHhUIBBwcHs9qqDDY2NnjllVcwadIkSKXS6u4O\\\n",
       "ERHVcAyERGTS7t278fLLL6N169Zo37491q1bh3v37iE2NtbkOV9++SUGDBiAd999Fy1btsRHH32E\\\n",
       "p556Cl9//TWAR6ODK1aswAcffIBhw4ahXbt2+Omnn5CYmIitW7dW0Z1RVVKr1cjNza3Q1Mzw8HDk\\\n",
       "5ORg//79ePjwIR48eGDWyFxBQQFatmyJ9u3bm9WfgIAAdO/eXa/MxsYGGRkZNWKUKCQkBEqlEj/+\\\n",
       "+CN++OEH5Ofnw8aGywWYgyOERGQtGAiJqMyysrIAAB4eHibrxMTEIDQ0VK+sf//+iImJAQDcvn0b\\\n",
       "SUlJenVcXV3RpUsXXR1jFAoFsrOz9V5U840ZMwYymQzOzs5wdHSs0OIpTk5OeOaZZ0r8/TMlMTER\\\n",
       "7u7ucHBwwNWrV83uw8mTJ42W29ra4r333jO7XUt4//33cfDgQb1wYmtri7Nnz1Zjr2ovBkIishYM\\\n",
       "hERUJlqtFrNmzUKPHj3Qpk0bk/WSkpIMFgHx9vZGUlKS7nhRmak6xkRERMDV1VX3ql+/vrm3QlVk\\\n",
       "7Nixeqt8FhQUoG/fvlXej6SkJPj7+yMzM7NC7Uil0hIXuPnwww8r1H5F/PHHH1iyZInRY23btkWT\\\n",
       "Jk2quEe1HwMhEVkLBkIiKpMZM2YgLi4OGzdurJbrv/fee8jKytK94uPjq6UfNZFWq0VhYaHZUzIf\\\n",
       "PnyILl26oEGDBhbb0iI/P9/o70pJ040BoLCwEImJiRZd+fOHH36wSHszZ84s8bhMJqu0f6iQSCSw\\\n",
       "s7ODg4MD7OzsIJPJIJfL0bt3b+Tn52PEiBElnh8XF2fWyKq1YxgkImvAQEhEpZo5cyZ27NiBAwcO\\\n",
       "wN/fv8S6Pj4+SE5O1itLTk6Gj4+P7nhRmak6xtjZ2cHFxUXvRY8IggC1Wg21Wl3ucy9fvox69erh\\\n",
       "1KlTiI+Px6BBg6BQKCrcJ1Mrg7q5uZk857fffoO9vT3q1asHDw+PUkNcYWEh9u7di9zc3BLrTZ48\\\n",
       "uUJf2gVBQOfOnbF8+fJS6549e9ZiAUEQBIwePRp5eXnQaDQoLCxEXl4eCgsLoVQqUVBQgAMHDsDe\\\n",
       "3r7Utuzs7PDgwQN89dVXFumbNeAIIRFZCwZCIjJJFEXMnDkTW7Zswf79+xEYGFjqOd26dUN0dLRe\\\n",
       "2d69e9GtWzcAj/aG8/Hx0auTnZ2NkydP6upQ+QiCACcnJ8hksnKdp1Kp8Ntvvxk811eW0TSVSgWl\\\n",
       "Umn0mCiKOHr0qNFjv/zyi9FyrVaLcePG6d5nZmbi1KlTJq+flpYGJycn9OvXD+7u7sjPzzdZ19vb\\\n",
       "G9euXUPr1q1Rr149jBw5ElFRUThx4gT+/PNPTJ48GR06dECbNm3w4osv4tChQ8jIyEBhYSEKCwuh\\\n",
       "Uqlw8uTJMn3pr1OnDs6dOwe5XF5q3eIEQYCNjQ18fX3x008/Qa1WY9OmTRZbwdTW1rbUUU4iIrI+\\\n",
       "XHqMiEyaMWMGfv31V2zbtg3Ozs66Z/xcXV11oxLjx49HvXr1EBERAQB48803ERISgqVLl2LQoEHY\\\n",
       "uHEjzpw5g++++w7Aoy+9s2bNwpIlS9C0aVMEBgZiwYIF8PPzQ1hYWLXcp7WSyWR4//33IZFIEBkZ\\\n",
       "CalUil9//bXUMLN3714MGTIEarUavr6+OHjwIBo3bqw7fu7cOWg0GoPzJBIJevfubbTNnJwcgyB6\\\n",
       "/PhxdOnSxaCuKIqoV6+e7hpqtRp9+vTB4cOHYWtra7T9pk2b6m198rjhw4cbLTdX+/btkZ+fj5yc\\\n",
       "HKxfvx7vv/8+cnJyjNaVy+UIDw/H9OnT4eDgwJGmGqQ8I3/8uRFRbcYRQiIyafXq1cjKykLv3r3h\\\n",
       "6+ure23atElX5969e3jw4IHufffu3fHrr7/iu+++Q/v27bF582Zs3bpVbyGaOXPm4PXXX8eUKVMQ\\\n",
       "HByM3Nxc7N6926xRFaoYe3t7hIeHIyUlBQ8ePMAzzzxTYn2lUon//Oc/UCgU0Gg0uH//Ppo0aQK5\\\n",
       "XI5+/fph6tSpGDJkiNFz/fz8TH5xtrOzMygbOnSo0br79u0zGJ08deoU3nnnnRL7XpUEQYCLiwte\\\n",
       "f/11ZGRkYMqUKXrbZNjY2GD16tXIz8/Hu+++C0dHR4aKGoZTRonIWgiiJZ/cJyKqItnZ2Vi2bFmp\\\n",
       "X8QEQcDChQurqFdPvh9//BGvvvqqWec6OzsjMzPT5P6BzZs3x/Xr1wEAvr6+SExMNFrPw8MDGRkZ\\\n",
       "BuWCICA/P79G/sOCKIqIjo7Gm2++CUdHR2zcuBGNGjWqlr48CeFl3rx5Rv8R4XGLFy9GVlZWuZ83\\\n",
       "Dg0NRXR0NAYMGFDmadgqlQq7d+9G3759LbYwExFRVeGUUSIiKrO3337b7HNzcnIQHByM06dPGw2F\\\n",
       "V69eRUxMDJRKJUJCQky2Y2oPSlEU4ezsjL/++gshISGwsbGpMeFHEASEhobi3LlzAGByaivVHJwy\\\n",
       "SkTWglNGiYioTNLS0pCVlVWhNs6ePQs7Ozuj7QiCgO7du6N3794lfsEuaVVNtVqNZ599Fra2tpBK\\\n",
       "pahTpw5SUlIq1GdLsrW1LXMYzM3Nxdtvv41vvvnG6DOZVLk4ZZSIrAVHCImIqEweXzimItRqNfz8\\\n",
       "/JCXl2fW+efPny/TRuuiKOLhw4do0qSJyVHFmqqgoABubm66IDh37lxkZWWZnG5LlscRQiKyFvyb\\\n",
       "hYiISjVjxgyLhqqCggKzN4tv3Lgx8vPz0blz5zJ9Ec/NzYVWqzXrWkVSUlJw+/btCrdTVi+++KLe\\\n",
       "qGBubi4GDx5cJdcmIiLrwkBIREQlUigUWL16tUXbbNSoUYVGVezt7XHy5EloNBpERkaW2JZMJjN7\\\n",
       "ZE2r1cLX1xfe3t5o1KgRHBwcUFBQYG63y8zYPo5//fUXMjMzDcpVKhWioqLwyy+/GOwpSebjlFEi\\\n",
       "shYMhEREVKIrV66YPZpnjJ+fn2410YoSBAFTp05Ffn4+Pv74Y6N1Fi9ebHb7X331lW7/TeBROK5X\\\n",
       "r16p51V0JLF169ZGy+vWrYsHDx5AFEWoVCrMnz8fcrkco0ePxksvvQR/f3+L/qysGQMhEVkLBkIi\\\n",
       "IipRQEBAueo7Ojri22+/RVxcHP7880+MHDkSQUFBmDVrFjIyMpCQkGDxZ+Hkcjnmz5+P+Ph4vUVn\\\n",
       "nnrqKcydO9fsdrdu3WpQlpGRgWvXrhmtf/nyZTg7O0Mul2PatGlmX3fLli1Gy1UqFfz8/GBjYwNb\\\n",
       "W1tERETohc+UlBSkp6ebfV36PwyERGQtGAiJiKhE7u7ueO6558pU97333kNOTg6mTJmC1q1bY/jw\\\n",
       "4di8eTNOnz6N5cuXw83NrVL76u/vj/z8fOTl5SE/Px+xsbEV+rI+btw4o+Xt27c3WPlz9uzZaNOm\\\n",
       "DXJzc6FSqRAZGYnt27cbPV+lUqF3797w9PTEwoULDUb1XF1d8eabb5rsl6kRSEEQSlyFlcqOgZCI\\\n",
       "rAUDIRERlSoqKgqJiYno1KkTbGwMF6j29vZGeno6Pvnkkxrx5djBwcEiwejll182OpqpUCjg6uqK\\\n",
       "bdu24a+//oKHhweWL19uUG/MmDFG2/Xy8sKhQ4eQnp6Ojz76CM8884xBnRUrVqB79+7l6u+UKVPg\\\n",
       "4OBQrnPIOAZCIrIWDIRERFaqvM+a+fr64syZM1CpVFAoFLh9+zYuXryI3NxcJCUlwd3dvZJ6Wn1s\\\n",
       "bGywdu1ao8fy8vIQFhaGgQMHIiMjw2idwsJCg885Pz/fYB/GI0eOGP15HDt2DL6+vqX2UyaT4ejR\\\n",
       "o4iMjCy1riiKtf5lb2/PgEZEZCEMhEREVkitVldoGwlbW1s0bNgQbdu2haOjowV7VvO89NJLmDx5\\\n",
       "stnnF5/eaSz4lRRg4uPjIZVKjR4TBAGff/45FAoFevToYXYfyRBHCInIWjAQEhFZIRsbGzg5OVXL\\\n",
       "tbVaLfLz86FQKGrsiphqtVr3jKAgCPj666/RoEGDcrfj7OxsEBYcHR3h4eGhV/btt9+aDBVSqRTX\\\n",
       "r183OO7h4YHc3Fy8++67DCSVgIGQiKwFAyERkZUyNepUmcaNGwcbGxs4OjpCLpfD1tYWYWFhSE5O\\\n",
       "hkajgVarhUajgUajqZaweOrUKdjZ2UEmk0Emk2HPnj3QarWQyWSIiIgoczuCIMDV1RVr1qwx+gxi\\\n",
       "amoqPvzwQzz77LO4desWJk2aVGJ7jRo1wp07d9C+fXu0aNECx48fx8OHD/m8YCViICQia2G4MgAR\\\n",
       "EVElGDFihMF2Cmq1Gtu2bcO2bdtgY2MDqVSqC4MSiQT169fHt99+i2eeecbsAJuTk4NDhw6hS5cu\\\n",
       "8PLyMlkvMTERXbp00b0XRREDBw7ErVu34O/vj0aNGpV6rVatWmHv3r3w8vKCRCIxGRQkEgkWLVpU\\\n",
       "rvto0KABzp8/X65zyHzlCXoMhERUm3GEkIiIzJKUlIS7d++WqW5ycrLJvfWKqNVqKBQK3XRNlUqF\\\n",
       "W7du4dlnn4WNjQ3s7Ozg7e0NLy8v2NvbQyaTwcPDA8eOHTPZ5rlz5+Dm5oYhQ4agbt266N69u8mR\\\n",
       "R2ObwWs0Gpw9exaiKJa6ZcbHH3+My5cvw8/PDzKZDFKp1OL7LVLV4QghEVkL/k1FRETlolAo4Ovr\\\n",
       "C19fXzRs2BCvvfZaifW1Wi3q169f4esqlUqkpKQgLS0NhYWFUKvVyMjIQM+ePREWFob8/HyD+kFB\\\n",
       "QXqLusTExBh9FjA3NxeZmZkG5VKpFKGhoZBKpQgICDA5StmwYUPMnz/fZN+1Wm2NfV6SiIisGwMh\\\n",
       "EREZpdVqoVKpdM/0FRQUYOXKlXB0dERSUpKu3po1a0y2IYoiPD09oVKpKrWv27ZtQ506dXQLwYii\\\n",
       "iLZt2xrdwP3+/fuoX7++Xt3nn3/eaLuXL1/WLb5jb2+Pxo0bG9SRSCS4fv16if07fvw4nn32WUye\\\n",
       "PBkPHjwo171R9eAIIRFZCwZCIiLSk5GRge7du8PV1RXu7u7w8fFB3bp14ezsjDfffFMXpIoYC11F\\\n",
       "AgMDjY68VYaCggK8/PLLSE5OxltvvVViSLt//z7kcjkGDx6MHj16YPfu3XrH5XI5YmJi0Lx5c73y\\\n",
       "ffv2GbR1/vx5yGQyk9cSRRHjxo1DdHQ0fvjhB/j5+cHR0RGpqakmz6msEUW1Wm3xNp9klRUG9+/f\\\n",
       "b7SdlJSUSrgLIqKSMRASEVkBURShUChK3OpBqVSic+fO8PDwQExMDHJzc5GXl4e0tDSkp6cbBMEi\\\n",
       "rq6uRssTEhLK/Iyhpfz+++/o0KEDVq5cWWpdtVqNnTt3IiYmRndvLi4uuHTpEgoKCtC1a1eDc+rX\\\n",
       "r49ffvkFzs7O8Pb2Rnx8PNq2bVvqtYqPCubn58Pb2xv37983qKtQKHDx4kXk5uaW2m55jB07Fra2\\\n",
       "thZt80lWmSOEffv21f3Z3t5e92dvb2+L9Z+IqKy4yigR0RMuOzsbvXv3xqVLl6DRaCAIAnx8fDBo\\\n",
       "0CD07NkT9+7dQ2RkJBISEsxqv1+/fkbLS1rspbKoVCq96azlIZPJcPv2bYM9AosbN24cxo0bV+Z2\\\n",
       "BUGAjY2NwbRZURQRHByMhIQEvcVnNBoN3Nzc9IJCRb377rvYuHGjxdqzBlWxyujj/zjDaadEVF0Y\\\n",
       "CImInmAajQYhISF62xWIoojExER8//33+P777yt8jZ49exotHzhwYIXadXV1hVarRU5OTpnqV/QL\\\n",
       "dZ06dUoNg+YKCwvDb7/9ZlCekZEBrVarFwgdHBzQsGHDMrVbFChKundRFLF06dLydZjMCoSnT59G\\\n",
       "aGiorjwkJAQLFiwweZ5MJoNKpWIYJKJqxSmjREQ12NGjR3Hnzh2T0zVLk5ycjCtXrli4V/pMjcg5\\\n",
       "OTnh6NGjuufrJBIJnJyc4O/vD0dHR5Pt1alTBwUFBcjMzER2djYuX75c4vUdHBzQsWNHBAYGmn8T\\\n",
       "AEaOHFmh80uyfv16o1/6W7VqBRsb8/5tNicnBx06dEDz5s0RHx9vst7Dhw+5wqkZzJkymp2djejo\\\n",
       "aN1r4cKFRtu+dOkSgEfTlh//veDPiYiqAwMhEVEN1qtXLwQGBsLd3d2s1Snt7e1LDF+ladSoET7/\\\n",
       "/PMS9+DbuXOnyWM9evSAUqmERqOBWq1GTk4O4uPjdc8n9unTRzc6ZmNjg++//x6pqamQy+W6Nlq1\\\n",
       "aoWZM2cabX/gwIF4+PAhYmJisG/fvlLDlamRGEEQ8Nlnn5V4bkXIZDJcuHBB7/o2NjY4evSo2W12\\\n",
       "7NgRFy9exI0bNxAYGGhyJDUxMdHsa1D5uLi4oG/fvrpXeHi40XqPP3f6+O8ERwqJqDowEBIR1QI5\\\n",
       "OTno06dPuc8rCpJvvvlmiSthGpOamoqbN2/i3XffRUZGBqZOnWq0XlxcXKltSSQSgy+7Dg4OiI6O\\\n",
       "hkajgSiKUKlUePXVV42e/9VXX+lNxZPJZMjPz8fOnTshl8thZ2eHwMBA/Pnnn0bPDw4Ohkaj0a3e\\\n",
       "qVKpcOTIEcyfPx+xsbHQarVwcHAweq5arUazZs0gkUgglUrRs2dPs7bRKNoGo2gbD5VKZfKapRFF\\\n",
       "Ebdv39a9L3ru0NiKry1atDDrGtbOnBHC4OBg7Nu3T/cqaboo8OjnyD0qiai6MRASEdUCgiDgnXfe\\\n",
       "MetcW1tbLFu2DFu2bEGjRo3g5OQEBwcH2NnZ6T27VkQqleLWrVuoU6eOXvnq1auNjsCZO521vPbu\\\n",
       "3YsrV67g6NGjKCwsNLroyuDBgw2mfgYFBeHEiRN692pjY4OePXvi448/xlNPPVXidadPn44bN27o\\\n",
       "vrwfO3YMTk5OyM/PN+s+JBKJ0c+9PARBMBj51Wq1+O677wzq2traGmyfQaXjPoREZC0YCImIajBH\\\n",
       "R0f4+vpiw4YNeOWVV8xuRyKRoFu3bpgxYwaWL1+OjIwMFBYW6qZypqSk4MCBA7h8+TKUSqXR5/EE\\\n",
       "QdA9+1RdWrRogR49epQYqDZv3ozc3FxcvHgR6enpOH36dIUC2B9//GFQplQq0ahRI7PbtITNmzcb\\\n",
       "lM2aNcto3StXrmD48OGQSqWV3KsnR1UEQkEQ4ODgwEBJRNWKgZCIqAbLzMxEQkICxo4dW6EvjaIo\\\n",
       "IjIyEsuWLcOBAwf09qOTSqXw8vJC79690apVqxLDU4sWLdC5c2e9Mktuj2Apjo6OaNu2Ldzd3Svc\\\n",
       "lqm9+5KTk1FYWFjh9s3Vr18/g1FChUKBEydOGNQVBAF//vknN6Yvh8oMhI+vwFtQUKD78/Llyy3W\\\n",
       "fyKismIgJCKqwWxsbCwyerBnzx588MEHSEhIwK+//lqhaZ4xMTF6IfCHH36ocP9qsjfffNPkMaVS\\\n",
       "WYU9MXTr1i2Dst69ext9lpDKpzID4c6dOyGKosHL1AgvEVFlYiAkIrICc+bM0Vu4Ijk52ey2JBIJ\\\n",
       "xo0bB4lEAgcHBwwZMsQSXayxxowZY3TUVBAEk6OHVaVOnToGz3UqFArcu3evmnpERES1DQMhEVEt\\\n",
       "V9oKhRqNxuDZv1atWlXomsuXL8eqVatw586dCm1rURsEBgYiIiLCYBTI399fb3uM6iCRSIw+W9qs\\\n",
       "WTOOElYQF5UhImvBQEhEVEvFx8fD29sbdnZ28PT0xPHjx43WK5qO9risrCyznycTRRHp6eno06eP\\\n",
       "wUqkT6o5c+bg8OHDqFu3LmQyGXx8fHDmzJnq7hYA4K233jIoU6lUeOGFF6qhN08OBkIishYMhERE\\\n",
       "tdC///6LBg0aICUlBSqVCunp6ejRowd27NhhUNfGxsboHoTmBML79++jcePGaNGiBWbPnm1W381V\\\n",
       "tO1D0V5+KpVKt+l9RRTtg1ianj174sGDB0hPT8fdu3dRt27dCl3XUtzc3IyW//777xwlrAAGQiKy\\\n",
       "FgyERES1UKdOnYyWjx071mj54cOH9d7b2NjAzs6uXNd86qmnUL9+fdy+fRsFBQXYuXMn0tLSytWG\\\n",
       "OVJSUtCqVSvI5XLI5XK4ubkhJCQEv//+O9LT083e1FutVuOdd95BQEAABg8erLfaoykSiQROTk7V\\\n",
       "/uzg40w9LyiKIs6dO1fFvXlyMBASkbVgICQiqmW0Wq3J8GJq1K9r167YsWMHbGxsIJFIcO/evXJ9\\\n",
       "iX3vvfeMhouJEyeWuQ1z5OfnIyAgAFeuXIFSqYRKpUJOTg7i4uLQsmVLeHt7GyyqUhZarRZdu3bF\\\n",
       "0qVLkZCQgF27duHZZ5+tUF9TU1PxzTff4LfffkNeXl6F2jJFpVIhMzMT+fn5uj9PnjzZZP2pU6dW\\\n",
       "Sj+sAQMhEVkLBkIiolpGEAQMGjTI6LGFCxeaPG/QoEFQqVRQq9Xw9fUt1zVXrFhhtPzYsWPlaqe8\\\n",
       "kpKSoFAo9MoEQcAHH3yAp556yuwv4rNmzUJsbKxe2YkTJwyuVVazZ89G3bp1MWPGDLzwwgtwdnbG\\\n",
       "O++8YzCdVaPRID8/36zpukUjfr1790ZAQADq1auHevXq4eLFiybPuXDhgtkjqEREZB0YCImIarDc\\\n",
       "3FwUFBToBYuiTcb/+ecfBAUFwdHREZ6envjzzz/x3nvvldqmOSHK1Gb1lb3KZkBAANq3b6/Xj4iI\\\n",
       "CLzzzjslnhcfH4+bN28aDUNqtRqrVq0yKNdoNGWaNmqsva+++kqvTBRFLF26FBMmTEBOTg4UCgVu\\\n",
       "3ryJ559/Ho0bN0bnzp1x9erVcoW1nJwcDBs2DBcuXEBaWhpSU1ORn59fat/++eefct8TcYSQiKxH\\\n",
       "+efZEBFRlXF2dgYA2NraYt26dbpnBAVBQMuWLXH69Okq6ceiRYswd+5cg/JvvvmmUq8rlUpx9uxZ\\\n",
       "3L9/H6mpqbpnCUsyePBg7Ny5EwDg4+ODxMREvS/sqampJhdbkUql5e6jRCIxGex+/fVXxMbGwt3d\\\n",
       "HefPn9cFzqSkJLRv3x6zZ8/G1KlTIYoirly5gvj4eLRu3RpPPfUU7O3tdf0uLCzE008/jaSkpHL3\\\n",
       "r3fv3khMTNQtLPQkhJd58+aV+xnY8ipP0HsSPlMisl4cISQiqgWUSiWmT59ebdP/5syZg+bNm+uV\\\n",
       "NWnSBMOHD6/0awuCgPr16+Opp54qNQympaXpwiDwKHj973//06tT0qqk9vb25e6fRCJBo0aNjB4T\\\n",
       "RRFXr15FTEyMweijUqnEZ599hiZNmqBx48YYNGgQXnvtNfTq1QtOTk5o3LgxNm3ahO3bt6NVq1a4\\\n",
       "cOFCufsGPPpMunfvjsLCQrPOt1YcISQia8ERQqJa7vbt2zhy5Aju3r2L/Px8eHl5oWPHjujWrVu1\\\n",
       "b5pNlledXzyvXr2KxMRE7Nu3D71790aDBg2qrS+mfPLJJwZlb7/9NoYNG6Z77+LiYvRcuVxu1gI1\\\n",
       "AHDkyBH4+PiU+zxRFI0GVFEUcfv2bbzwwgsQBKHCW2ucOXMG/v7+2LhxY4XasTYMekRkDRgIiWqp\\\n",
       "DRs24Msvv8SZM2fg7e0NPz8/2NvbIz09HTdv3oRcLse4ceMwd+5cBAQEVHd3qYJsbGyQkJBQ3d2A\\\n",
       "n58fxo8fX93dMMnYojC5ubl6702FvuvXr5t9XW9vb4wbNw4bNmwwuw1jLLmP4MOHDyu8kqo14ZRR\\\n",
       "IrIWnDJKVAt17NgRK1euxMsvv4y7d+/iwYMHiI2NxdGjR/HPP/8gOzsb27Ztg1arRVBQEKKioqq7\\\n",
       "y2QmLy8v/Oc//0FWVhYcHBwq3J5Go8Gff/6JnTt3mrXSZU03btw4gzInJye998nJyQZ1JBIJ6tev\\\n",
       "X6Fr9+zZs0LnExERVQeOEBLVQp9++in69+9v8ridnR169+6N3r174+OPP8adO3eqrnNkUSkpKRZr\\\n",
       "q7CwEC4uLlCpVAAejZTt2bMHzzzzjMWuUd1atWplUFZ81PCtt94yqGNqG47z589j165dmDx5Mry8\\\n",
       "vExeVxRFhIeHl7O3FVc0MsWtJSyPI4REZC0YCIlqoZLCYHGenp7w9PSsxN5QbbF27VpdGAQebUkw\\\n",
       "duxY3Lp1yyKjjzWBra2tQVnxKaNHjhwxqOPv72+0vWeffRaZmZn4/fffcfr0ad1KncWlpaUZHXms\\\n",
       "KIlEYnLaqCAICA4ORnJyMu7evWvxa1s7BkIishacMkr0hEhJSUFcXBwuXryo9yICHo0gGRsZS05O\\\n",
       "Rp8+faBUKquhV/9Hq9VaZJTLWHjKzs5Geno6RFHE5cuXkZ6eblBnwIABBmUbN25EWloa1Go1Lly4\\\n",
       "AGdnZ2RkZOjVEUURy5Ytg7e3t0Wf9wOArl27YubMmUZDriAIuHPnDk6ePInbt28jJCTEotcmrjJK\\\n",
       "RNaDI4REtVxsbCwmTJiAK1eu6L5QC4IAURQtsjohPRlEUTQZuB4+fIj8/HyjwaMqnD59GoMGDYKt\\\n",
       "rS0OHjyIJk2aGNQpLCzEJ598gri4OMyePRvdu3eHRGL4b5qXL182KNNqtZg+fTrmzZuHUaNGGe3D\\\n",
       "4MGDDcpefvllvfcKhQIeHh5o3bo1Ro0ahejoaBw/ftzs/8aK/js1ZvXq1ZgyZQoEQUD37t3x/PPP\\\n",
       "6x1fs2aNbpVXQRAQHR0NmUzGqaMWxBFCIrIWHCEkquVeeeUVNGvWDMePH8etW7dw+/Ztvf8lAh5N\\\n",
       "PXznnXcMvrg2aNAA0dHRcHV1rZZ+ZWdno2vXrkhNTUVCQgKaNWuGn3/+Wa/OkSNH4OjoiI8++ghb\\\n",
       "tmxBr169IJfLsWPHDr0ApNVqMWbMGKPXOXr0KHbt2oWHDx8aPd66dWu99xqNxuiKpcCj0Pnhhx/i\\\n",
       "yJEjZoXB+vXrIzMzE0qlEvHx8ejQoQMkEgkEQYCrqyvu3r2L1157TVc2ZswYTJ48WRdQQkNDDcKq\\\n",
       "VCrFt99+a3AtT09PDB8+HF26dNHb6J5KxxFCIrIWHCEkquVu3bqFP/74w+ioCtHjlixZgtmzZ+Pf\\\n",
       "f/+Fl5cX/P39KzwqmJWVhT/++AN37txBjx490LNnTzg6Opb5/G7duulNtRRFERMmTMCmTZswffp0\\\n",
       "LF26FPv37zc4T6VSYciQIfDy8sJHH32ElJQU/PnnnyafpevatSteeOEFKJVKhIeH6wVJd3d3gw3p\\\n",
       "i8KYpUfcBEHA9evXdXuE+vv749y5cxBFEVqtFlKp1Oh53333HT7++GOo1WqTC+BMnjwZd+7cwcqV\\\n",
       "K+Hl5YWDBw8a7BWp1WqNjqzWNsV/hpWBI4REZC0YCIlqub59++LChQsMhFQqQRDKtMiQVqtFVlYW\\\n",
       "HB0dTQZGrVaLVq1a4dq1awbHnJ2dMW3aNLz88svw8/ODo6Oj0b3/UlNT8c8//xiUi6KInTt3Yteu\\\n",
       "XaV+6U9NTcVrr71WYh17e3v88ssvkMvlWLRoEYKCgvDcc89BoVBAJpMZDZyCIKB58+a4evVqiW2X\\\n",
       "l42NjS4MFr+eqTBYpKRVTot8/PHHWLJkicmA8iSEQSIisiwGQqJa7ocffsCECRMQFxeHNm3aGKyC\\\n",
       "OHTo0GrqGdVWe/bswfPPPw+pVIr//e9/6NGjh0EdPz8/k6tq5uTk4PPPP8fnn38O4FHY8fDwwPr1\\\n",
       "69G/f39IJBKkpKSgUaNGJfbDUiNA//77ry6ECYKAwYMH4+HDh9i7dy+aNWuGli1bGj3vwoULsLOz\\\n",
       "s0gfqhJHqyyDI4REZC0YCIlquZiYGBw7dgx//fWXwTEuKkPllZycjP/85z+69z179oSHhwfu3r0L\\\n",
       "R0dH5Ofnw8vLCwUFBWVuUxRFPHz40OjCLZXJ1tYWubm5RreKcHR0RFhYWKnnZ2ZmokOHDqXu5env\\\n",
       "74+rV6/C3t4e8fHxaNSokdFVR0sbBaSag4GQiKwF544Q1XKvv/46XnzxRTx48ABarVbvxTBIj8vL\\\n",
       "y8OlS5eQl5dnss7UqVMNytLT0xEQEIAVK1agR48e5QqD1UUikSA9Pd3kvoFl5erqiqNHj5ocRQSA\\\n",
       "ESNGID4+Ho6OjpBIJAgICDC61yEAbg9Ri3BRGSKyFgyERLXcw4cP8dZbb8Hb27u6u0I1WHZ2Nvz8\\\n",
       "/NC+fXu4urqisLDQaL19+/YZLc/IyMDSpUtx48aNyuymxdy5c6dci9uYotVq4eDggBkzZhisxCoI\\\n",
       "ApYsWYI//vjD4Lzu3bvDxcXFoNxYXaqZGAiJyFpwyihRLTdixAgcOHAAjRs3ru6uUA3WvXt3ZGdn\\\n",
       "A3i0pYKvr6/BJusATAZFAOjQoQMSEhJw/vz5yupmmUmlUtjb2yM/P19vaqYgCNi8eTPq169frvZE\\\n",
       "UYRGo0FhYSFSU1Nx8eJFnDlzBomJiZBKpcjKyoKfnx80Gg3UajV8fHywb9++Ev+7S05OhpubGxQK\\\n",
       "BSQSCXbs2GGRkGoOURRx8+ZNbNy4ER988EG19KG24ZRRIrIWDIREtVyzZs3w3nvv4ejRo2jbtq3B\\\n",
       "FLk33nijmnpGlqBUKnVfTCUSiVmrRGo0GoPVPDMzMxEbG4tOnTrplZtayOWpp55CVFQUCgoK0KBB\\\n",
       "gxKnnVaF0aNHY+nSpSgoKMC6devw999/w9nZGd99912pi9U8Tq1W48KFC3jjjTcQGxsLpVJp8BkI\\\n",
       "ggAbGxu4uLigY8eOmDdvHvr162d05dTHyeVyFBQUIDMzE87OzqXWryxZWVnw8vKCSqUCAAZCIiLS\\\n",
       "w0BIVMv98MMPcHJywqFDh3Do0CG9Y4IgMBDWco+vcikIAmQyGTp37ow///yzTNsQAI+eATQW9J59\\\n",
       "9lmkp6fr3ouiaLSeVCpFTEwMZDIZ7O3tsWLFCkyePLnc91I0imKJ1UN79eoFHx8fCIKA8PBwhIeH\\\n",
       "l7sNhUKB3377DdOmTStxZFQURahUKmRkZKBhw4ZlCoNFBEGAu7t7uftmSYGBgbowSGXHEUIishZ8\\\n",
       "hpColrt9+7bJ161btyxyjVWrVqFhw4aQy+Xo0qULTp06VWL9qKgotGjRAnK5HG3btsWuXbv0joui\\\n",
       "iIULF8LX1xf29vYIDQ01+9m0ohBj6lVQUFDuZ4Fq0qv4vSqVShw9ehR169aFn58fjhw5gtzcXKhU\\\n",
       "KpNB699//zVanpGRgbNnz+rex8bGGm1j8+bNeiPPL7zwQrl+RoIgoFGjRti2bRs2btxo9Nk6U+eZ\\\n",
       "EhkZaXaw1Gq1KCwsRFxcHObOnVtiGCx+noODQ7WN9JlDFEVkZWVVdzdqpSfhGcK4uLga2zciqjkY\\\n",
       "CImeUA8ePNDtA1cRmzZtwuzZs7Fo0SKcPXsW7du3R//+/ZGSkmK0/vHjxzF27FhMmjQJ586dQ1hY\\\n",
       "GMLCwhAXF6er8/nnn2PlypWIjIzEyZMn4ejoiP79+5f5izk98uDBAzz99NNwdXWFo6MjfH19sXXr\\\n",
       "VoOgFBUVZbKNoKAgDBs2DOPHj0eXLl0MjkulUoO9LOVyebm+ZNra2uKDDz5Av379MHToUAwYMKDU\\\n",
       "c5ydnTFr1iyTz+hdunSpXP+IoNVqkZ2djfv37+PBgwd48OABtmzZgocPH5a5DUEQMGLEiDLXrwmK\\\n",
       "RpWp/J6EQNimTZvq7gIR1QIMhES13CuvvGL09eKLL+Kjjz6qcPvLli3D5MmTMXHiRLRq1QqRkZFw\\\n",
       "cHDAmjVrjNb/8ssvMWDAALz77rto2bIlPvroIzz11FP4+uuvATwasVixYgU++OADDBs2DO3atcNP\\\n",
       "P/2ExMREbN26tcL9tUZarRYqlQrJyckYPnw4WrZsifT0dGi1WmRkZOD77783ea4oivjf//6Hn3/+\\\n",
       "2ei+eU5OTgbPLQqCUOJ+esWfdVQqlfj222+RmZkJpVIJJyenUu9p1apVWLp0Ka5du2Y0QIqiiK5d\\\n",
       "uxrt8+PUajW+/PJLNG7cGE2aNEFYWBg2bdqES5cu4dChQ+XamqVNmzbo27dvmevXFMuXL6/uLtRK\\\n",
       "T0IgLFLT+0dE1YuBkKiWy8jI0HulpaXh1KlTOHjwIP773/9WqG2lUonY2FiEhobqyiQSCUJDQxET\\\n",
       "E2P0nJiYGL36ANC/f39d/du3byMpKUmvjqurK7p06WKyTSqfa9euoW7duqhXrx7q1auH3Nxcs9sq\\\n",
       "LCw0CF2CIBid9unq6orp06dj7ty5cHNz05WLoohTp05hzJgxOHr0KICSN2iXyWR44YUXdMFzx44d\\\n",
       "Rke5MjMzSww72dnZcHFxwaxZs3Dnzh2kpqbi7Nmz+OKLL/DFF1/g3Llzpd0+AMDT0xM///wzzp07\\\n",
       "Vys3lp82bRr8/f2ruxu1zpMUCAHD+yEiKlJ7HoQgIqO2bNlitPzjjz/G1q1bjW40XlZpaWnQaDQG\\\n",
       "exx6e3vj6tWrRs9JSkoyWj8pKUl3vKjMVB1jFAoFFAqF7n3RFgpknEajKfHzLCuVSoWCggKD7RLq\\\n",
       "16+vW5BGEAT4+flhzZo16NKlC7Kzs/G///3PYMGa8+fP4/LlywgICICLi4vRbS8AoFGjRnrBSyqV\\\n",
       "IjAwENevXzeou3z5crz99ttG2/n0009RUFCgVyaKItLS0pCfn29wzBgbGxvMnTsXo0aNqpVhsMjO\\\n",
       "nTvRsWPHUkdU6clTNIV8xIgRJv++ICLrxhFCoifU2LFjcfDgweruhsVERETA1dVV9yrvPnNkHq1W\\\n",
       "i3bt2hkEiR9++AHBwcEYOnQoEhMTER8fj379+sHV1RX+/v4YNGiQQVs5OTnQarWYPn06rly5gh9/\\\n",
       "/BHe3t56oxWurq64ePGiwbnFFyYqYmpfRIVCgU8//dToOWq1GtnZ2WUKR+7u7njttdf0Vns1RaVS\\\n",
       "IS8vD9nZ2cjIyEBOTk65pqRWpnbt2qGwsNDkVG8yrjaODprqU3h4uN6CW0RERRgIiZ5QFy5cQMeO\\\n",
       "HSvURp06dSCVSpGcnKxXnpycDB8fH6Pn+Pj4lFi/6H/L0yYAvPfee8jKytK94uPjy30/ZJ5bt26h\\\n",
       "VatWeov+dOzYEUePHsXWrVt12z8UEQQBHh4eBu0IgoDRo0ejTp068Pb2xiuvvIKkpCSoVCqkpKQg\\\n",
       "LS0NGRkZsLW1NTg3MDDQ5OqeTz/9tMEX3B9//NEiX3ofPnxY6tRStVqNkSNHwtnZGS4uLnBzc4On\\\n",
       "pydcXV1hb2+PBQsW1Igv4DKZDBMnTqzubtQatXnKaNFo9uPP67Zt27bG9ZOIagZOGSWq5WbPnm1Q\\\n",
       "lpycjG3btmHQoEF6x5ctW1autm1tbdGpUydER0cjLCwMwKMRo+joaMycOdPoOd26dUN0dDRmzZql\\\n",
       "K9u7dy+6desG4NEXex8fH0RHR6NDhw4AHk3/PHnyJKZNm2ayL3Z2dmUapaHKce3aNQQEBOD8+fPw\\\n",
       "9vaGVCotcQrl9u3bDcpcXV3RoEEDg3KpVFrqnooSiQS+vr5G/yEgJycHn3zyCd566y04ODhArVZb\\\n",
       "bPN1rVaL0NBQ3Lx50+So9ODBg/H3338bPaZSqbBkyRL8/fffOHnyJL+Q1yLlCXo17efq7OwMAMjL\\\n",
       "y4NcLkdhYSEEQagR/zBBRDUPAyFRLWdq9CI4OBgpKSm67SHM/cIye/ZsTJgwAUFBQejcuTNWrFiB\\\n",
       "vLw83UjD+PHjUa9ePURERAAA3nzzTYSEhGDp0qUYNGgQNm7ciDNnzuC7777T9WPWrFlYsmQJmjZt\\\n",
       "isDAQCxYsAB+fn660Ek1U0pKCp555hnExMTAzc3N5O9UYmIiTp48aVAeEhJSoefwPDw8TI4ML1iw\\\n",
       "AF988QUWL16MzZs3m3w+0RwqlQpNmjRBTk6Owehlfn4+9uzZU2obp0+fRqdOnRAbG1vjwgMZV5sD\\\n",
       "YWZmJp5++mkA0D177eDggLy8vOrsFhHVUAyERLXcgQMHKrX9MWPGIDU1FQsXLkRSUhI6dOiA3bt3\\\n",
       "6xaFuXfvnt4WA927d8evv/6KDz74APPnz0fTpk2xdetWvf2w5syZg7y8PEyZMgWZmZno2bMndu/e\\\n",
       "DblcXu7+lfZFzN7evlb/q3hN+6J5/fp1TJ06FZ9//jm8vLxga2sLqVQKQRCgVqsRGxuLZ599Fmq1\\\n",
       "2uDc/v37m33d0hbJKdqA/fGRaUtSKpUICwszeJZxz549Zf79OnfuHJo0aYIbN24YbOVBNU9tDoQA\\\n",
       "cOTIEb33DINEZAoDIRGVaubMmSaniBpbuGbUqFEYNWqUyfYEQUB4eDjCw8Mt1cUn1urVqxEVFYUD\\\n",
       "Bw7UiGAriiL++OMP7NmzB1KpFGq1GoIgQCKRoKCgAAqFwmQ/y/rcp0ajgSiKuqApiiKuXbtWrk3k\\\n",
       "K8Pff/8NjUajN8q5du3acrVx69Yt1KtXDwkJCQyFNVxtDYSiKOr607JlS1y5cqVG9Y+Iah7+bURU\\\n",
       "Cw0YMAAnTpwotV5OTg4+++wzrFq1qgp6RZXhtddeQ3R0NK5fv15jvtRptVpkZWUhPT0d2dnZyMrK\\\n",
       "QkZGBgoLC0sMratWrTI6clhErVbjv//9L9q0aYM2bdpg5syZOHToEPbt24dx48aVeG5V0Gq1uHXr\\\n",
       "ll6ZOSE1KSkJXl5e3AKCKk3RSqL//PMP/vjjD115dHR0NfaKiGoqjhAS1UKjRo3CyJEj4erqiiFD\\\n",
       "hiAoKAh+fn6Qy+XIyMjAP//8g6NHj2LXrl0YNGgQvvjii+ruMlVQkyZN8Prrr2PlypXV3RWzZWZm\\\n",
       "YtiwYdixY4dBuBVFEYsXL0ZERIRuq4YbN25g/fr1kEqlyM3NrY4uG/j444+xbt063ft+/frh2LFj\\\n",
       "5W4nPT0dXl5eSE1N5UhhDVVbRwiLGzFiRI2YXUBENRf/FiKqhSZNmoRbt25h/vz5+OeffzBlyhT0\\\n",
       "6tULwcHB6N+/P77//ns0aNAAp0+fxqZNm4yu7Ei1zxdffFHrw8OuXbswcuRIg9GxrKwsfP3113r7\\\n",
       "9mm1Wt2+fjVlNO3PP//Ue//mm2+a3VZ6ejpGjBhR0S5RJanN204QEZUHRwiJaik7Ozu8+OKLePHF\\\n",
       "FwE8+kJdUFAAT09PyGSyau4dVQZbW1v069cPu3fvNjhWtEefqWmVTk5O6Nu3L86ePVvtezhu2bIF\\\n",
       "ffv2xe7du2FnZwetVotdu3YhOzu7WvtVFjk5OVCr1brP29XVFXZ2drqVHIuTSCRwcnJCTk6O0VGa\\\n",
       "7du367VHNceTMkJIRFSa2v1PzUSk4+rqCh8fH4bBJ9xnn32mt/WBRCJBnz59EBMTgzNnzuC5557T\\\n",
       "CxeCIKB169a4cOECfvvtN0RFReltVi2RSODn54cGDRpU6ZfagwcPolWrVjh69CiOHz+O999/v8aM\\\n",
       "Arq4uGDp0qWYOnWq0ePFF0Pq0aOHybZkMhnefPNNBAcHGz2u1WqRnp5ufmep0nCEkIisBQMhEVEN\\\n",
       "FhERgc2bN+POnTu6BUxCQ0Nhb28PGxsbuLq6onv37vD19UWjRo3w1Vdf4dChQ/jf//6HuLg45Ofn\\\n",
       "Iy4uDo0aNYK9vT38/Pzg6uoKmUyG6dOnQ6VSISEhAXfv3sWdO3eq9N5u3bqFXr16oVevXlV6bVdX\\\n",
       "V/Tr1w/Nmzc3mIL7wgsvICsrC7Nnz0ZkZCRyc3MN6nz00Udo27YtcnNzkZWVhevXr5u8lkKhwFdf\\\n",
       "fYWrV6+arGNqU3tTcnNzcfLkSVy/fh1KpVJXrlKpcOrUKfz999/VvgDPk6CyA6GHhweDJRHVCAyE\\\n",
       "REQ12Pz58zFq1Cg0atQInTp1wvLly5Geng6tVguNRoPMzEx8+umnaNu2LZ5++mm8//77yM/PR9++\\\n",
       "fdG6dWu9vR21Wi3Cw8ORmJgItVoNT09PvbDj4+Nj9hdSQRAgk8kqtPF8ZRMEAV9++SUyMjLw999/\\\n",
       "4+rVq8jNzcXgwYPh6OiIdu3aGWwj4ejoiGvXrhm0FRcXBzc3NzRs2BCJiYklXjczM7PE6bArVqwo\\\n",
       "U/9FUcTHH38MT09PdOvWDa1bt0bnzp2xY8cOHDp0CMOGDcPTTz+NsLAwbNiwoUxtUvUIDg5GRkaG\\\n",
       "7r29vT0A6I3+ExFVFT60QERUC4iiiLt372L79u0QBAFKpVL3TJparUZGRgYyMjJw4cIFnDlzBjEx\\\n",
       "MQZtJCQkYO3atbrzIiIiMHv2bLi5uQEAYmJizFqN0MbGBs2bN0e9evUQFxeHpKSkSpn+KQgCPD09\\\n",
       "4ezsjAcPHqCwsLBc586fPx9vvPGGXrm9vT22b9+OnJwcSKVSo1/ImzRpgokTJxqExaJAXlGXLl1C\\\n",
       "QkIC6tWrZ7KOKIoYOnQoduzYoStTq9W4cOEChg8fDplMBoVCofvcf/nlF0yYMMFoW0/CKNS8efNg\\\n",
       "Z2dXqdeozGcIz5w5AwBc/ZOIagSOEBIR1SI5OTnIzs42+UVSFEVcunQJt2/fNigfPHiw3iqeRaOE\\\n",
       "gwcPxoABA9CnT59y98fW1hYLFy7Er7/+ilmzZqFt27aV9kXd0dERK1aswKFDh3Ds2DGMGDECTk5O\\\n",
       "JldeFQQBEokEMpkMffr0wYcffmiybWdnZzg4OJg8vmbNGr1nLy1JpVKhc+fOiIiIwJEjR3D9+nU8\\\n",
       "fPgQBQUFKCwsxPnz5+Hl5aUXBh+nVqtRUFCgF8IVCoXR3xEGkLKrimcIOV2UiGoCjhAS1XITJkzA\\\n",
       "pEmT8PTTT1d3V6gKaLXaUr/Ui6KIMWPG4MKFC5BKpRBFEVFRUbh48aLR9nbu3GlWXyQSCTZs2ICw\\\n",
       "sDBIJBI0bNgQd+/exb1793D//n0UFhZCrVZbJIQIgoAxY8Zg5MiRsLOzQ/369bF582ZoNBrdZ6LV\\\n",
       "apGfn4/MzEyoVCrk5ubi1q1byMjIwJAhQyq8kue9e/fg4eFhtG+2trZQq9V6gbs8Hjx4gPnz51eo\\\n",
       "f4/Lz8+HKIq6kCGKIvbv329yoRwyZM4I4enTpxEaGqorDwkJwYIFC8p1TYZ2IqpqDIREtVxWVhZC\\\n",
       "Q0MREBCAiRMnYsKECSVOPaParSyBEAAuX76M7t27Y/bs2VizZg327t1r8b4MGTIEI0eO1H0ZdnFx\\\n",
       "wfPPP4/69eujsLAQgYGBsLe3x5UrV/DZZ58hNja21MAkl8vh7e2N/Px8ZGVlQaPRQCaTYcSIEfjq\\\n",
       "q6/0nokUBMEg5Nnb28PT01P3vlOnTlCpVBbZv9Hd3R2TJk3Cjz/+qFfu6+uL9evXo0WLFigoKMCV\\\n",
       "K1ewY8cObN++HcnJyaX+vCQSicWn2F65cgUpKSnw9vYGANy8eRNjx45FamqqRa/zJDMnEGZnZyM6\\\n",
       "OlpXHh0dXWIgfPx3gyOERFRdGAiJarmtW7ciNTUVP//8M9avX49FixYhNDQUkyZNwrBhw7gNxRNG\\\n",
       "FMUyjyCcOXMGr7zyCgoLCytl1GH+/PkGX2KdnZ3RvXt32NjYwMHBARKJBM2bN8ezzz6LDz/8EF9+\\\n",
       "+aXJUOjt7Y0vv/wSPXr0QEFBAY4ePYojR46gQYMGeO2113QLb5SHsdBYEUuWLMHatWt1AU4QBAwa\\\n",
       "NAg9evSAXC6HIAho0qQJBg4ciPnz5+OZZ54pcQVVmUwGBwcH5OTkWDQUFhYWYu/evXj++echCAKS\\\n",
       "kpL0ViSl0pkTCF1cXPS2GAkJCamUvhERWRKfISR6Anh5eWH27Nm4cOECTp48iSZNmuCll16Cn58f\\\n",
       "3nrrLdy4caO6u0gWUp5gVzSF0tygIQgCGjdujCZNmhisHjpgwAB07tzZ4BypVAp3d3c4OztDKpXq\\\n",
       "nuNzdnbG0qVLkZ+fj86dO+u+QAuCgAYNGuD27dt48OABxowZA39/fzRt2hQTJ07EmjVr8OGHH8LH\\\n",
       "x8esewAejcCV9XNLT09HfHy8yc/Mx8cHx48fh7OzM+zs7NC/f3+sXLkS9vb2evdkY2ODhg0b4tat\\\n",
       "W+jQoYPRttq3b4+kpCTEx8dj8uTJZt2bKVqtVjea+fDhQ3h4eCA0NBSOjo4WvQ7pCw4Oxr59+3Sv\\\n",
       "8kwXJSKqLgyERE+QBw8eYO/evdi7dy+kUikGDhyIS5cuoVWrVli+fHl1d49qEblcjqysLPz777+4\\\n",
       "ceMGCgsL8euvv6Jv3774/vvvzX7u0NbWFidPnoRCoUBWVhZUKhXu3r2Lhg0bVtqUOVEUDRZdMebh\\\n",
       "w4do0KABAgIC4OLiglu3bhmt16VLFyQmJuL69evYvn273jTW4gRBQGxsrEGdfv364dy5c/Dw8ICz\\\n",
       "szMiIyPx7bffWvQzUKlUmDNnDtLS0tC0aVP8+uuviI+Pt1j7T7qqWlTGzs6O00WJqFoxEBLVciqV\\\n",
       "Cn/88QcGDx6MgIAAREVFYdasWUhMTMT69euxb98+/P777wgPD6/urlIt4evri+zsbDg7O+vKbGxs\\\n",
       "MHbsWOzbtw+vvvpqhZ/Jk8lkcHFxqZJ9C9VqNdasWYOTJ0+WWO8///kP8vLyIIoi8vLy0LhxY5Mj\\\n",
       "i05OTmjQoEGZpqNKJBI8fPgQ/v7+sLe3R3h4OP7++2+DEDBlyhRdKLWUvLw8uLi4QCaTwdbWFu7u\\\n",
       "7hZr+0lXmYHw8d+rx6fyckEZIqoOfIaQqJbz9fWFVqvF2LFjcerUKaPT05555hndXnNExQUEBODU\\\n",
       "qVOoU6eORRZfqWk2b96MWbNmQRRFBAYG4ubNmwZf4EVRRFxcnMG5dnZ2KCgoqHBwdXBwKNPonLu7\\\n",
       "O+7evQvg0T6H6enpWLx4MVavXm3W1F97e3v4+/uX+zx6pDJH7hj+iKimePL+5ieyMsuXL0diYiJW\\\n",
       "rVpl8lklNzc3g33piIBHo1eXL19G3bp1n8gwCABbtmzRffm+ffs2WrdubVBHEAR07drVoFylUuHn\\\n",
       "n3/WK8vLy8OpU6dw//79yunw/yeVSuHl5YWvv/4aP/zwg1lt/PLLL5yOaKaqmDJKRFQTPJl/+xNZ\\\n",
       "kZdeeqnEZ5iISmJra1vihuxPgoYNG+q9v3LlCn755ReDert27UL9+vX1ygRBwL59+5CdnY2CggLs\\\n",
       "2bMHgYGB6NatGxo2bIhnn33W7L0Hy+Oll16Cra1tuc7p2bMnwsLCDMqLVqqtza+iRXwqM6AxEBKR\\\n",
       "tWAgJCKqwaZOnYqAgIBKa1+lUlVJoBFFESqVyqLT5ERRxPz589GlSxf8888/Ju9j7ty5BmXTp083\\\n",
       "mIIpl8tx9+5dnD17Fl26dIGXlxfGjx+PBQsWQKvVIi4uDq+++ipSU1Oh1Wqh0Wiwb98+ODg44ObN\\\n",
       "mxa7L2NsbGxM7i/q6OiIDh06oG3btqhXrx7atGmDY8eO4ciRI5XapycdAyERWQsGQiKiGiwyMhJ3\\\n",
       "7tzBhQsXKuVLp0ajwdWrV0usU1hYiIEDB6JZs2aIjY01WkehUGDKlCno0qULfvrpJygUCoiiCLVa\\\n",
       "jW+++QZyuRx2dnaQy+X49NNP9cJb0fN7bdq0gZubG4KCgvDw4cNS+z5w4EBERETg1KlTaNOmDZo2\\\n",
       "bWq0nqenJ1q0aGFwT4WFhQZ1BUFAx44dceLECaSkpGDdunVo3rw5XF1dUb9+fahUKoNzlEolmjRp\\\n",
       "gpYtW0KhUJTab3MNHz5c772NjQ3OnDmDnJwcnDt3DhcvXsT9+/dx6dIldO/evdL6QURETxYGQiKi\\\n",
       "WqBdu3b4/fffK6Xt559/3uQxrVYLNzc3/PXXX7hx4waCgoIQHR2tV0elUsHZ2Rnff/89Tp06hQkT\\\n",
       "JsDe3h5ubm5wcXHBjBkzoFQqIYoilEol3nvvPTg5OWHUqFF45ZVX4OrqirZt2+Ly5cvIyspCbGws\\\n",
       "/Pz8UFBQYLJfoihiz549eu/v3LljMpBduHBBb2qsi4tLuQK2IAjw9vbGhAkTTNa5evUq5HI5GjRo\\\n",
       "gJiYGOTm5qKgoADZ2dl4+PAhCgoKKjRCOn/+fNSrVw9yuRwDBgxAQUEBOnXqxNGpSsIRQiKyFgyE\\\n",
       "RES1xHPPPQd7e3uLt/vPP/8gJyfH6LHIyEiDkDVw4EC997NmzTIYORNFUffcnTGFhYXYvHkz1q5d\\\n",
       "a/TaSqUSgwYNMtlnY/sKCoJgcjVQW1tb3LhxA35+fnBycsLw4cMhk8lMtm+MIAhYvHhxqZu7x8fH\\\n",
       "o3v37nB2doaDgwNcXV1Rp04dODo6wsXFBT/++KNZ03Q9PT1x+/Zt5OTk4K+//irTlhdkPgZCIrIW\\\n",
       "DIRERLXIkiVLLN6mKIp4++23jR6bM2eOQZlSqdTbO62yRi4PHz5sckQtOztb770gCOjSpUuJIcnP\\\n",
       "zw9nzpzB8uXLMXv2bLNWVbWzs8PatWvLfR7w6HPOzc3Fq6++Cl9fX7M2iZfJZAyCVYSBkIisBQMh\\\n",
       "EVEtUtL0zopYu3atwYibUqlEXl6e0fqPBzVjz9UVsbOzKzHAlPRFWqPR6AXPx12/fl3v3IiICBw8\\\n",
       "eNBkW0V8fX0xfvx4NG7c2Owv8SNGjCj36GJxqampCAoKMgi2llI0Qvvvv//ixo0buHv3Lm7dumV0\\\n",
       "r0UyjoGQiKwFAyERUS1SWV881Wq1wV5348aNM1n/8UDk5uZmtE7jxo2RkpKCzMxMvPnmm3rTOW1t\\\n",
       "bfHKK6/g0qVL+Pvvv+Hp6WlwvlQqNTq1UqvVYvXq1ZBKpZBKpZgwYQLmzJlT5m0ZbG1tYWtra/Zn\\\n",
       "KZVK4eLiYta5RQRBQEFBARISEirUTnGiKGLBggWwtbWFq6srmjZtimbNmqFhw4Zo3Lgx2rZta9Hr\\\n",
       "PckYCInIWjAQEhHVIsnJyZXW9kcffaQbJVSr1di5c6fResW/AJsKR1988QVcXFzg6OiIzz77DC+8\\\n",
       "8AKcnJzg7OyMSZMmYeXKlWjVqhWeffZZxMTEGDyb5+npaXR08f79+zh9+jQEQYC7uzsWL15c5V/I\\\n",
       "i4+mlocgCJDJZGjQoAHq1KljwV4B69evxyeffAK1Wm3RdomI6MnFBxGIiGqRN954o9Lavn//PurV\\\n",
       "q4eRI0di/fr1JheEsbGx0Qtgpkb3Ht8U3c7ODj/99JMuSBV/fq9p06bIzc3F/fv3sWHDBjRp0gQD\\\n",
       "BgzQjUSKooikpCS88sorOHDgAFQqFezs7PDtt99WeJ9GrVaLzMxMaLVaeHh4lPpsoUqlQlZWllnX\\\n",
       "atiwIRYvXoxu3brB39/fYosEiaKIxo0b4/bt2xZpjwz/4aO0ukREtRUDIRFRDaZWq6HVapGTk4Ov\\\n",
       "vvoKMTExlXq9pKQkrFq1qsQ6xaeIPnjwwKCOp6en0S/JpYUtf39/g43ktVotFi5ciIiICL2ROZlM\\\n",
       "VuJKpGV17949BAUFITMzE66urjhz5gwCAwNN1m/Xrp1ZI4T29vaIiYmBj49Pmc9Rq9V4/fXXcfny\\\n",
       "Zaxfv95kv+rVq2f050DmYyAkImvBQEhEVIMVjZAVfeGsyD52ljJixAi993fv3jWo06xZM4tdr6Cg\\\n",
       "AJ9++qlBCHNxcYGdnV2F21+yZAkePnwIAEhPT0fjxo2xf/9+9O7d26Bu7969cfXqVbOu4+TkBC8v\\\n",
       "rzLX12g0qFu3LjIyMgAAjRo1wuzZs7F06VJdHVEU0apVK4bBSsBASETWgs8QEhHVAqIoQhTFEvfa\\\n",
       "qyqff/657s8ajQaFhYUGdXr16mWx6z18+NDo4jJt2rSxSPvbtm3Tey+KIv7zn/8YXPPSpUs4dOiQ\\\n",
       "2dfJzMws8/6DWq0Wfn5+ujBYZNmyZWjQoAEuX76M8+fPw9PT0+yASiXjojJEZC0YCImIahFHR0f8\\\n",
       "8ccfmDNnTrV8CX3llVf0FpExtS3FSy+9ZLFr5ufnGy2fPHmyRdrPzMw0KFMqlQajsUlJSUbPl8lk\\\n",
       "mDBhAt56660SRyxVKhX27dtXpv64ubkhJSXF6PH4+Hi0adMGHTt2NAiMZDkMhERkLRgIiYhqkRdf\\\n",
       "fBFDhw7Fp59+ilGjRpXpHB8fH7z//vvYtWsXNm7ciAEDBph17UaNGuHHH3/UKzM2hVUqlVp0yqi3\\\n",
       "t7fR8j59+pg8RxRFbNiwAT179sThw4dN1lOr1UZX5PT29jZY4bRv376oX7++7r1UKkVkZCQUCgXW\\\n",
       "rVuHZcuWITs7u8Q9Cp977jnd9NQiKpUK//77L9555x24u7vD3d0dOTk5JtsgIiKyJD5DSERUi/Tt\\\n",
       "21c3GvHDDz/g999/N1l3+PDh+PPPPw3Kx4wZAwBYuHAhPvroozJdVyqV4t9//zUod3V1RceOHXHu\\\n",
       "3DkIgoAOHTrg1KlTBtNai6a7msPd3R0ymQwqlUpXJpFI4OzsbLS+VquFs7OzbmQxJCQEe/bswbPP\\\n",
       "PmtQt1OnTgZlEokE9+/fN1p+7969Evtqa2uLMWPG4JdffjF6vKCgAHXq1KlRz4SScXyGkIisBUcI\\\n",
       "iYhqke+//173Z1PTNYFHX1BLCosAEB4ejpdffrlM15VKpSa/9B45cgQ///wzbty4gbNnz+qNrBUW\\\n",
       "FqJJkyawt7fHK6+8YnYA6tatm957QRBMTiUdNWqUwTFj00uPHj2KixcvGpS/8847pa6Gaoooiti6\\\n",
       "dWuZ6lkiDBbtxdisWTO4u7ub3W8yxCmjRGQt+DcHEVEtcuDAAWRnZ0Or1eLbb781Wc/Ly8vopu7F\\\n",
       "rV27tkxTT5VKJZRKpdFjjo6OGDduHBo3bmxwbOHChbh58yYUCgXWrl2LDh06mBWEii8go9FoMGjQ\\\n",
       "IL1RQwCIiYkxOip679493QinKIr4+++/8fTTTxu91scff1zu/hW126lTJ+Tm5pp1fnlJJBIkJSUh\\\n",
       "PT0d165dQ3p6OpRKJb799tsy/eypZAyERGQtGAiJiGoRlUqFgQMH4tdff8WyZctM1jM2FdKU33//\\\n",
       "HR9++GGpX2qDgoJMHjN17tGjR/XeX7x4EUeOHClz34oUXwkUeDQy6eTkhMGDB2PJkiWYMGGCyZAn\\\n",
       "iiLatGmDZ555Br6+vhgwYIDRYGrs2cGyiIuLg0wmw7lz58p9rrm2bduGunXr6pVJpVJMmTJFb2sK\\\n",
       "Mg8DIRFZCwZCIqJa5vjx45gyZUqJC488vvhJWSxatAgHDx4scUGUS5cuYciQIbqtE0RRRGFhYYlT\\\n",
       "V6dNm2ZQtnDhwnL17ebNm0hISDB6TKlUYufOnViwYAF++uknowvEFFEoFDh48CCSk5NN1hkyZEi5\\\n",
       "+gY82pexbdu2Zd5SwhIEQcCgQYNMHp88eTJDigUwDBKRNWAgJCKqZURRREFBQYlTL0tb/MSYXr16\\\n",
       "Yfny5SV+wd2xYwfs7OwQEBCABg0aoF69eggLCzM5nXTcuHEGIdPd3b3MfVIqlWjevHmZ61fU1atX\\\n",
       "9T5XURSRlZWFu3fvGjyXKIoi+vXrhy1btlRZ/4o0b968xJ+TXC7n84RERFQm/NuCiOgJFBMTU+5z\\\n",
       "RFFEw4YNYWtrW2I9jUaDe/fu4f79+0hPT8ehQ4eQnp5utK5EIkFmZiacnJwAPNqzb9WqVWXqj0aj\\\n",
       "gbOzc7lG3ir67Nzx48fx6quvIjY2Ft9//z1kMhnc3NzQsGFDODo6wtXVFZGRkTh79izCwsKwd+/e\\\n",
       "Cl3PHIIg4NChQ6XWYSCsGE4ZJSJrwafOiYieQFlZWXj48CE8PT3LVD8nJweLFi3C+vXrTY72mSII\\\n",
       "gsktIADAwcEB2dnZuH//PpydneHm5lamdn18fMrVF3t7eyxatAjbtm0zKxADj7asWLNmDdasWWP0\\\n",
       "eHZ2NqZPnw4PDw+Tq5xamiAIug3v5XI5IiMjDZ4dNHUemY/bThCRtWAgJCJ6QjVt2tTkyN3jZs2a\\\n",
       "hZUrV5q1+qcgCHjrrbfg6OhYar3yPNd45coVpKWllbm+u7s71q5diyFDhuD111+Hj49PpW7uXrdu\\\n",
       "XQQGBuLQoUMlPkNpCRKJBMOHD8e0adPQunVreHh4lOk8rVZbqf160jEQEpG14HwSIqInVEZGRqn7\\\n",
       "DM6YMQNffvmlWWHQ3t4ef/31FyIiIszsoWlTpkwpV/3ly5dj8ODBkEgkcHBwwB9//GGyrqura4Wm\\\n",
       "lg4fPhznzp3Djh07kJmZiSNHjqBNmzZwcnKCk5MTvLy84ObmZrEpmxqNBpcvX4anpydcXFzKdI5a\\\n",
       "ra7SRW6eRJwySkTWgoGQiOgJtn79euzfv9/oMY1Gg9WrV5e7TUEQMGfOHOTk5KB///4W/zIsiiKu\\\n",
       "Xr1q9Lqm9OvXD1KpVPc+NDQUcrlcr45EIkF8fDzS09Nx/vz5cvfbxsYGJ0+exB9//AE7OzsIggAb\\\n",
       "Gxv07NkTly5dQk5ODnJycpCSkoKMjAwkJiaWeXpsaS5evIi+fftiz549ZRr5mz9/vkU2vrdmDIRE\\\n",
       "ZC0YCImInnB9+/bFzZs3Dcpv3LhR7tAgkUjwyy+/4LPPPtMLYKXRaDTIyMhAUlISFApFiXW3bt2K\\\n",
       "3NxcSCQSuLq6YsuWLcjLy0NGRgb69etn9JziU2MFQcD69ev1+p2eng5/f39IJBK0bt26zGHNwcEB\\\n",
       "W7ZsgVKpROfOnct0DvBoT8Nz586VuJVHeSQlJWHw4MFo3LgxUlNTTdb766+/8MUXX1jkmtaMgZCI\\\n",
       "rAUDIRGRFWjSpAkOHz6sVxYeHl7udho3bozRo0eXWEetViMzMxOnT5/GpEmT4O7uDltbW3h4eMDX\\\n",
       "1xdyuRxyuRzDhw9HXFwccnJykJWVhd27d8Pf3x/PPfccFAoFvL29ER8fj7CwMDg4OMDV1RXbt283\\\n",
       "GrCmTp2KrKwsvbLBgwejQ4cO8PPzw82bN+Hq6qp3/IUXXijxPlq3bg2lUom8vDyEhYWZ9aU/ICAA\\\n",
       "M2fOLFd4Lokoirhz5w7q1q0LLy8vfPfdd7h58yZu3LiBr776Cm5ubhg4cGCJbZQ36NTEV9G2KyW9\\\n",
       "iIiobLioDBGRlQgJCUGzZs2wd+9enD9/Hps3bzZar+hLd/Ev1hKJBD179jT6bFxhYSEiIiKwYsUK\\\n",
       "5OTklPqFXKFQYOvWrdi6davJOn5+fgarl8pkMtjZ2UGlUumVHz9+HG3btsWNGzd0K3IWFhbilVde\\\n",
       "wVNPPYWGDRsatD9q1CiDLTAkEgneeOMN/Pe//7VIiBMEAeHh4UhKSsLu3buRk5MDtVpd4XYBIC0t\\\n",
       "DVOnTrVIW2SIi8oQkbVgICQisiLXr19HQECA0WOCIMDBwQH+/v6QSqV48OABcnJydIuTODg4ICgo\\\n",
       "CFqtVhcKCwsLMWXKFGzYsMHiq1reuXPHoEyhUKCgoMCgXBRFxMfHo06dOhg1ahTkcjmOHTuG/Px8\\\n",
       "vP322+jevbvBl/aCggJ4eHggLy8P9erVw6ZNm9CpUyeLf7l3cnLCt99+i127dmHhwoVmTdWlqsdA\\\n",
       "SETWgoGQiIh0pFIpfHx8EBQUBHd3d6SkpCA+Ph42NjZ45plnMHToUGi1WhQUFGD37t144YUXUFhY\\\n",
       "WCl9SU9Px/379+Hv7w/gUegbO3Zsiatn5ubmYu3atXplM2bMwL59+xAZGQkXFxekp6dj9erV2Lp1\\\n",
       "Kzp16oRVq1ahadOmlXIPRZydnTFy5Eikp6dj5syZDIS1AAMhEVkLBkIiolqmaCP4goICg6mTFSGK\\\n",
       "IrKzsxETEwNfX1/Mnj0bdevWNZg6KYoirl+/jnHjxlVaGCy6TqNGjTBnzhw0adIECxYswP3798vd\\\n",
       "jlarxR9//GF0K4rmzZujUaNGluhuqWxsbPDcc8/h9ddfr5LrUcUwEBKRteCiMkREtYxcLseYMWPQ\\\n",
       "okWLSvkiqlQqcfDgQXh6esLGxsZgQQ+JRAKZTFapYbCISqXCxx9/jIkTJ5oVBkvz77//WuyZvrJw\\\n",
       "c3OrtPAglUrxwgsv4NKlS0hISMCJEycwevRog+03qGy4yigRWQsGQiKiWkahUGDHjh24ffu2XnnR\\\n",
       "M4C2trYVvkZaWlqJm7c3bNjQYitnVieNRoNly5ZZtM2cnBwMGjQIzzzzjMF2H1qt1uLPWgLAgAED\\\n",
       "oFQqsWHDBrRp0wZ+fn7o0qULNm3ahPz8fDx48ADPPfdcmTe2JyIi68FASERUy2i1Wjx48AC5ubm6\\\n",
       "Z9EEQUD9+vXx9ttvo2PHjhW+RmmjZnZ2dha5Tk3wwQcfGF2oxhyiKMLf3x+7du3CwYMH0aRJE0yc\\\n",
       "OBFqtRparRZ79+61aCCUy+U4deoU/vrrL6OrvwKPfjd8fHwQFRVlsDUHmcYRQiKyFgyERERPiFat\\\n",
       "WmHAgAEIDAy0SHulbSC/ceNG3RYPRQRBgI2NjclwUhNptVq4ubnh8uXLUKlUyMjIwNtvv40WLVog\\\n",
       "IyOjXG0plUpkZ2frla1btw6urq54+umnMWrUqAr11dnZGTNmzMDp06eRm5uL/Px8BAcHV6hNMo6B\\\n",
       "kIisBReVISJ6AoiiiLi4OJw4cQLnzp2zSJsrV67EvHnzTB738/PD4sWLsWHDBt0ehUOHDoWnpycO\\\n",
       "Hz6MTz75BGlpaRbpS2VTKpVo06aNQXlAQACysrLK/IVfJpPp9nB8XH5+Po4dO1ahPu7YsQODBg2q\\\n",
       "UBtUdlxUhoisBQMhEdETIiEhAQsWLLDY9Mf58+cjJCQEXbt21X3hFUVRt+1EUlISQkJCEBYWBn9/\\\n",
       "f9jb2+tGBjt27IiXXnoJS5YswS+//ILs7GxotVpdUKqM5+gqQ05ODjIyMuDh4VGm+hKJBE2aNMGN\\\n",
       "Gzcs2o927dpZLAw+CVtehIeHV/p9MBASkbWoPXN6iKhKqVQqzJ07F23btoWjoyP8/Pwwfvx4JCYm\\\n",
       "lnruqlWr0LBhQ8jlcnTp0gWnTp3SO15YWIgZM2bA09MTTk5OGDlyJJKTkyvrVmq1UaNGISAgoExf\\\n",
       "OEVRRH5+vsW+KIuiiO7du8PGxgZ2dnaQyWSQyWSws7ODh4cHunbtivXr18PLywuOjo5600QlEgnq\\\n",
       "1KmDFStWICUlBfn5+VAoFFAqlVAqlXj48CF69+5tkX5WtsjIyHLVP3/+vMX7EB4ebvE2qWScMkpE\\\n",
       "1oKBkIiMys/Px9mzZ7FgwQKcPXsWf/75J65du4ahQ4eWeN6mTZswe/ZsLFq0CGfPnkX79u3Rv39/\\\n",
       "pKSk6Oq89dZb2L59O6KionDo0CEkJiZixIgRlX1LtdLvv/+OO3fuIDs7G/b29tXSB61WC6VSCbVa\\\n",
       "DY1GA41GA5VKhYcPH2LNmjW4fv16iedLJBLY2NhAKpXqXh4eHjhw4ADat29v9By5XA5XV9fKuJ1y\\\n",
       "W758ebnqOzg4oHPnzhbtw//+9z+LtkdERFSEgZCIjHJ1dcXevXsxevRoNG/eHF27dsXXX3+N2NhY\\\n",
       "3Lt3z+R5y5Ytw+TJkzFx4kS0atUKkZGRcHBwwJo1awAAWVlZ+PHHH7Fs2TL06dMHnTp1wtq1a3H8\\\n",
       "+HGcOHGiqm6v1nFycrL49giWoFQqsX//frPPN/WMop2dHVq3bm2RLTQqKisrq9xTXD/++GOL9mHH\\\n",
       "jh0VGvlVq9U4ffo0li5dasFePdk4QkhE1oKBkIjKrGhxDTc3N6PHlUolYmNjERoaqiuTSCQIDQ1F\\\n",
       "TEwMACA2NhYqlUqvTosWLdCgQQNdHTLutddew8CBA6u7GwY++eQTaDQas8597rnnjJZLpVIsX74c\\\n",
       "f/zxB2QymcFxiUSCGTNm4OTJk5g7d26l7omoUqkM9nwszTPPPGPRPqSkpKB58+ZQqVTlPvfVV1+F\\\n",
       "TCZD586d8c4771i0X08yBkIishZcVIaIyqSwsBBz587F2LFjTW5unZaWBo1GA29vb71yb29vXL16\\\n",
       "FQCQlJQEW1tbg1Dp7e2NpKQkk9dXKBR62yAUX9rfWuzcuRPLly/H7Nmzq7srOnl5eWjfvj3i4uLK\\\n",
       "fa6NjQ2cnZ2Rk5OjV65QKNCpUydIpVLk5ubCzc1Nb7GcmJgY3bTMzp0749NPP4VGo4G9vb1Zoak0\\\n",
       "rVq1QkFBQbm20zC22mhF3LhxA7a2tpDJZMjIyICjo2OJ9UVRhIODAwoLCy3WB2vDoEdE1oAjhEQE\\\n",
       "ANiwYQOcnJx0ryNHjuiOqVQqjB49GqIoYvXq1dXSv4iICLi6uupe9evXr5Z+1ARvvfUWRo8eXd3d\\\n",
       "0HP58mWzt7sICwszKFOpVLrwZWtrqzcyKggCGjZsaHCOVCrFzp07zepDaZRKJaKiospcf968eZW2\\\n",
       "CqZKpYK/v3+p01gnTpzIMFgBVTlCyJFGIqpODIREBAAYOnQozp8/r3sFBQUB+L8wePfuXezdu9fk\\\n",
       "6CAA1KlTB1Kp1GDF0OTkZPj4+AAAfHx8oFQqkZmZabKOMe+99x6ysrJ0r/j4eDPv9MmwceNGXL58\\\n",
       "GT169DA6pbI6BAUFQa1WGz127tw5TJs2DXfu3DE49vbbbxuUFW/n8SmhoiiaHE3u27dvOXpcPi+8\\\n",
       "8EKJo49KpRLHjx9H/fr18d///rfS+gE8GiE3No1Vq9UiJycHQ4cOxfr16yu1D0+6qgqEDIFEVN0Y\\\n",
       "CIkIAODs7IwmTZroXkVT70aPHo0bN25g37598PT0LLENW1tbdOrUCdHR0boyrVaL6OhodOvWDQDQ\\\n",
       "qVMnyGQyvTrXrl3DvXv3dHWMsbOzg4uLi97LmgmCgFatWuHo0aPIz8/Hq6++Wt1dglarNTpyd/fu\\\n",
       "XQQFBSEyMhKBgYGYOHGi3nEvLy+jbeXm5gJ4FAB37dqld/z777832geJRGJ0KqUgCGjSpAm6du1q\\\n",
       "9kI1Wq0Wnp6eelOXtVotfvzxR9jb28POzg49evTA/fv3zWq/PJo3bw4HBwfk5+fjwoULCA4Ohlwu\\\n",
       "h0wmg4uLC7Zv317pfXjSVUUg5OrKRFQTMBASkVEqlQrPPfcczpw5gw0bNkCj0SApKQlJSUlQKpW6\\\n",
       "en379sXXX3+tez979mx8//33WL9+Pa5cuYJp06YhLy9PFwJcXV0xadIkzJ49GwcOHEBsbCwmTpyI\\\n",
       "bt26oWvXrlV+nzWdvb09HBwc4OTkhEaNGmHLli0GUwVtbGzw3Xffwd/fv5p6+X8SEhJw4MABvbJp\\\n",
       "06bp9XndunXo2bMnNBoNRFHEsWPHjLY1adIk5OXlISoqShcOi/z2228m+/Dnn3/qvZfL5UhPT8eN\\\n",
       "GzcQExMDhUKBgwcPlut5wCI5OTmwt7dH3bp14eXlBRsbG7z66qtVNjVTKpViy5YtiIuLg4+PDwoK\\\n",
       "CtCrVy+cOXMGCoWi3KuhkmWdPn0aoaGhutdHH31UYv0tW7YAQKVNLyYiKgsuKkNERiUkJOj2PuvQ\\\n",
       "oYPesQMHDug2Fb958ybS0tJ0x8aMGYPU1FQsXLgQSUlJ6NChA3bv3q230Mzy5cshkUgwcuRIKBQK\\\n",
       "9O/fH998802l31Nt9HjQuH37NkaMGIF33nkHX3zxhV49QRDw2WefYdy4cVXdRQODBw9GTk6OLnAZ\\\n",
       "26fw2LFjcHd3R1hYmMk99jZv3owzZ84YnR6ckZFh8vr9+vXDvHnzsHr1avTp0wdRUVEGq5CGhIQg\\\n",
       "JycHzs7O5Q5RoigiNTW1XOcYI5VK0a5dOzRu3BjHjx/HgwcPSgwGHh4eSE5Oho3N//3V7eTkZBCW\\\n",
       "yTLKM/JXVC87O1tv9kN0dDQWLFhQ4jlz586tYE+JiCpGEPnPUkRUC2VnZ2PZsmWlfmETBAELFy6s\\\n",
       "ol5ZnrH7k0gkUKvVBsfu379f6Yvt+Pr64uTJk/D09MTq1atNbmOQnZ0NZ2dnAECfPn0MRg0tQaPR\\\n",
       "mDXK97ht27YZXdSmsslkMly6dAnNmjWDIAgoLCxEaGioydHSojrFp7uKogipVFquEaYn4a/98PDw\\\n",
       "Uu/jww8/RFZWVrmnl4eGhiI6Ohrbtm0rdSXXInl5eRg2bBhcXFwQHBysKw8JCTEaCF1dXXUrJRfd\\\n",
       "R9F/z0/Cz4eIahdOGSUiqmW0Wi3y8/MNyiv7ucoXXngBiYmJqF+/PhwcHPD222/rRoqLe3yLiJde\\\n",
       "eqlS+mOJL86DBw+2QE/Kb9q0aWjevLkuBMjl8hJHinx8fIw++ygIQqXuwWjNzHmGMDg4GPv27dO9\\\n",
       "TI0OPr5tTvGRSEEQsH///sq9OSKixzAQEhHVQo9P0y1SmcFAKpUaXbXy22+/NVr/8S+4lfVsqCUC\\\n",
       "oVQqNTnKWJmrPxZfWAdAiYs2tWvXzuSxx6eQkuVU5qIyAwcONHm+IAjo06ePpW+HiMgk/i1CRFSD\\\n",
       "lSf0ODo6Vvl0s2bNmpV6zZYtW9boaXAajaa6uwAA6N69u1mf0+OjsWQ55jxDWFbG9sssaoMLAxFR\\\n",
       "VeMIIRERERERkZXiCCERERFRMZU5QmhMTR5FJ6InGwMhERERUTFVHQiJiKoLAyERERFRMQyERGQt\\\n",
       "GAiJiIiIimEgJCJrwUBIREREVAwDIRFZC64ySkREREREZKU4QkhERERUDEcIichaMBASERERFcNA\\\n",
       "SETWgoGQiIiIqBgGQiKyFgyERERERMUwEBKRtWAgJCIiIjKCQY+IrAFXGSUiIiIiIrJSHCEkIiIi\\\n",
       "KoZTRonIWjAQEhERERXDQEhE1oKBkIiIiKgYBkIishYMhERERETFMBASkbVgICQiIiIqhoGQiKwF\\\n",
       "AyERERFRMQyERGQtuO0EERERERGRleIIIREREVExHCEkImvBQEhERERUDAMhEVkLBkIiIiKiYhgI\\\n",
       "ichaMBASERERFcNASETWgoGQiIiIqBgGQiKyFlxllIiIiIiIyEpxhJCIiIioGI4QEpG1YCAkIiIi\\\n",
       "KoaBkIisBQMhERERUTEMhERkLRgIiYiIiIphICQia8FASERERFQMAyERWQuuMkpERERERGSlOEJI\\\n",
       "REREVAxHCInIWjAQEhERERnBoEdE1oCBkIiIiKgYjhASkbVgICQiIiIqhoGQiKwFAyERERFRMQyE\\\n",
       "RGQtGAiJiIiIimEgJCJrwW0niIiIiIiIrBRHCImIiIiK4QghEVkLBkIiIiKiYhgIichaMBASERER\\\n",
       "FcNASETWgoGQiIiIqBgGQiKyFgyERERERMUwEBKRteAqo0RERERERFaKI4RERERExVTmCKGx+jY2\\\n",
       "NlCpVOVqh4jIEjhCSERERFRMUSAs68scEsn/fQ1Tq9UYN26cpbpPRFRmDIRERERExVRmIBRFEaIo\\\n",
       "QqPRQBRFBAYGAgB+/fXXyrgVIqISccooET3RRFFEeHh4dXeDiCxIFMVKv4Y5U0ZPnz6N0NBQXXlI\\\n",
       "SAgWLFhQ6vkJCQl67RARVSUGQiJ64lXFl0cierKYEwizs7MRHR2tK4+Oji41EMbFxUGpVAIAtFqt\\\n",
       "mb0lIjIfAyERERGRBbi4uCA4OFj3PiQkpNRz2rZtCwBwc3OrrG4REZWIgZCIiIioGHNGCIODg7Fv\\\n",
       "375yXQMA7O3tkZGRUf5OEhFZABeVIaIyee211yAIAlasWFFq3VWrVqFhw4aQy+Xo0qULTp06pXe8\\\n",
       "sLAQM2bMgKenJ5ycnDBy5EgkJydXUs+JiMqvMheVSUlJ0Z1jY2OD/Pz8yrgFIqIyYSAkolJt2bIF\\\n",
       "J06cgJ+fX6l1N23ahNmzZ2PRokU4e/Ys2rdvj/79+yMlJUVX56233sL27dsRFRWFQ4cOITExESNG\\\n",
       "jKjMWyAiKpfKDITe3t66P9epUwe+vr7w9fXF66+/bunbICIqFQMhEZUoISEBr7/+OjZs2ACZTFZq\\\n",
       "/WXLlmHy5MmYOHEiWrVqhcjISDg4OGDNmjUAgKysLPz4449YtmwZ+vTpg06dOmHt2rU4fvw4Tpw4\\\n",
       "Udm3Q0RUZpW5B2GRpKQk3evrr7+2UM+JiMqOgZCITNJqtXjppZfw7rvvonXr1qXWVyqViI2N1Vt2\\\n",
       "XSKRIDQ0FDExMQCA2NhYqFQqvTotWrRAgwYNdHWIiKpbVexDaOxFRFTVuKgMEZn02WefwcbGBm+8\\\n",
       "8UaZ6qelpUGj0ehNhwIeTY+6evUqgEf/Gm5ra2uwop63tzeSkpJMtq1QKKBQKHTvs7Ozy3gXRERE\\\n",
       "RGQKRwiJCACwYcMGODk56V6HDh3Cl19+iXXr1tWIzZIjIiLg6uqqe9WvX7+6u0RET7DKHCEkIqpJ\\\n",
       "GAiJCAAwdOhQnD9/Xvc6fvw4UlJS0KBBA9jY2MDGxgZ3797F22+/jYYNGxpto06dOpBKpQYrhiYn\\\n",
       "J8PHxwcA4OPjA6VSiczMTJN1jHnvvfeQlZWle8XHx1fofomISsJASETWglNGiQgA4OzsDGdnZ937\\\n",
       "KVOmYMiQIXp1+vfvj5deegkTJ0402oatrS06deqE6OhohIWFAXj0HGJ0dDRmzpwJAOjUqRNkMhmi\\\n",
       "o6MxcuRIAMC1a9dw7949dOvWzWT/7OzsYGdnV5FbJCIqM3P2ISQiqo0YCInIKE9PT3h6euqVyWQy\\\n",
       "+Pj4oHnz5rqyvn37Yvjw4brAN3v2bEyYMAFBQUHo3LkzVqxYgby8PF2IdHV1xaRJkzB79mx4eHjA\\\n",
       "xcUFr7/+Orp164auXbtW3Q0SEZWAgZCIrAUDIRFVyM2bN5GWlqZ7P2bMGKSmpmLhwoVISkpChw4d\\\n",
       "sHv3br2FZpYvXw6JRIKRI0dCoVCgf//++Oabb6qj+0RERjEQEpG1YCAkojK7c+dOmcpmzpypGzE0\\\n",
       "Ri6XY9WqVVi1apUFe0dEZDkMhERkLbioDBERERERkZXiCCERERFRMRwhJCJrwUBIREREVAwDIRFZ\\\n",
       "CwZCIiIiomIYCInIWjAQEhERERXDQEhE1oKBkIiIiKgYBkIishZcZZSIiIiIiMhKcYSQiIiIqBiO\\\n",
       "EBKRtWAgJCIiIiqGgZCIrAUDIREREVExDIREZC0YCImIiIiKYSAkImvBQEhERERUDAMhEVkLrjJK\\\n",
       "RERERERkpThCSES1kiiK1d0FIqrhKvL/Ezk5OWUe+cvJyTH7OkRE1Y2BkIhqpZycHCxevLi6u0FE\\\n",
       "NVhOTg5cXV3LdU5QUBCio6NRv379cl8vKCio3OcQEVU3QeQ/sxNRLaTVapGYmAhnZ2erfn4nOzsb\\\n",
       "9evXR3x8PFxcXKq7O9WGn8Mj/BweEUUROTk58PPzg0RS/qdj5s2bhzNnzpTrnKCgIHz66aflvhYR\\\n",
       "UXVjICQiqsWys7Ph6uqKrKwsqw4A/Bwe4edARETlxUVliIiIiIiIrBQDIRERERERkZViICQiqsXs\\\n",
       "7OywaNEi2NnZVXdXqhU/h0f4ORARUXnxGUIiIiIiIiIrxRFCIiIiIiIiK8VASEREREREZKUYCImI\\\n",
       "iIiIiKwUAyERUQ2iUqkwd+5ctG3bFo6OjvDz88P48eORmJhY6rmrVq1Cw4YNIZfL0aVLF5w6dUrv\\\n",
       "eGFhIWbMmAFPT084OTlh5MiRSE5OrqxbqZDS7qW4qKgotGjRAnK5HG3btsWuXbv0jouiiIULF8LX\\\n",
       "1xf29vYIDQ3FjRs3KvMWKiwiIgLBwcFwdnZG3bp1ERYWhmvXrpV63pP4WRARUeVhICQiqkHy8/Nx\\\n",
       "9uxZLFiwAGfPnsWff/6Ja9euYejQoSWet2nTJsyePRuLFi3C2bNn0b59e/Tv3x8pKSm6Om+99Ra2\\\n",
       "b9+OqKgoHDp0CImJiRgxYkRl31K5leVeHnf8+HGMHTsWkyZNwrlz5xAWFoawsDDExcXp6nz++edY\\\n",
       "uXIlIiMjcfLkSTg6OqJ///4oLCysqtsqt0OHDmHGjBk4ceIE9u7dC5VKhX79+iEvL8/kOU/qZ0FE\\\n",
       "RJVIJCKiGu3UqVMiAPHu3bsm63Tu3FmcMWOG7r1GoxH9/PzEiIgIURRFMTMzU5TJZGJUVJSuzpUr\\\n",
       "V0QAYkxMTOV13gyl3Utxo0ePFgcNGqRX1qVLF3Hq1KmiKIqiVqsVfXx8xC+++EJ3PDMzU7SzsxN/\\\n",
       "++23SriDypGSkiICEA8dOmSyjrV8FkREZDkcISQiquGysrIgCALc3NyMHlcqlYiNjUVoaKiuTCKR\\\n",
       "IDQ0FDExMQCA2NhYqFQqvTotWrRAgwYNdHVqgrLcS3ExMTF69QGgf//+uvq3b99GUlKSXh1XV1d0\\\n",
       "6dKlRt17abKysgAAHh4eJutYy2dBRESWw0BIRFSDFRYWYu7cuRg7dixcXFyM1klLS4NGo4G3t7de\\\n",
       "ube3N5KSkgAASUlJsLW1NQiVj9epCcpyL8UlJSWVeu9FZWVts6bRarWYNWsWevTogTZt2pisZw2f\\\n",
       "BRERWRYDIRFRNdqwYQOcnJx0ryNHjuiOqVQqjB49GqIoYvXq1dXYS6puM2bMQFxcHDZu3FjdXSEi\\\n",
       "oieMTXV3gIjImg0dOhRdunTRva9Xrx6A/wuDd+/exf79+02ODgJAnTp1IJVKDVYMTU5Oho+PDwDA\\\n",
       "x8cHSqUSmZmZeqOEj9epCcpyL8X5+PiUeu9FZb6+vnp1OnToYMHeV46ZM2dix44dOHz4MPz9/Uus\\\n",
       "+6R/FkREZHkcISQiqkbOzs5o0qSJ7mVvb68Lgzdu3MC+ffvg6elZYhu2trbo1KkToqOjdWVarRbR\\\n",
       "0dHo1q0bAKBTp06QyWR6da5du4Z79+7p6tQEZbmX4rp166ZXHwD27t2rqx8YGAgfHx+9OtnZ2Th5\\\n",
       "8mSNuvfiRFHEzJkzsWXLFuzfvx+BgYGlnvOkfhZERFSJqntVGyIi+j9KpVIcOnSo6O/vL54/f158\\\n",
       "8OCB7qVQKHT1+vTpI3711Ve69xs3bhTt7OzEdevWif/88484ZcoU0c3NTUxKStLVee2118QGDRqI\\\n",
       "+/fvF8+cOSN269ZN7NatW5XeX1mUdi8vvfSSOG/ePF39Y8eOiTY2NuJ///tf8cqVK+KiRYtEmUwm\\\n",
       "Xrp0SVfn008/Fd3c3MRt27aJFy9eFIcNGyYGBgaKBQUFVX5/ZTVt2jTR1dVVPHjwoN7vQX5+vq6O\\\n",
       "tXwWRERUeRgIiYhqkNu3b4sAjL4OHDigqxcQECAuWrRI79yvvvpKbNCggWhrayt27txZPHHihN7x\\\n",
       "goICcfr06aK7u7vo4OAgDh8+XHzw4EEV3FX5lXQvISEh4oQJE/Tq//7772KzZs1EW1tbsXXr1uLO\\\n",
       "nTv1jmu1WnHBggWit7e3aGdnJ/bt21e8du1aVdyK2Uz9Hqxdu1ZXx1o+CyIiqjyCKIpi9YxNEhER\\\n",
       "ERERUXXiM4RERERERERWioGQiIiIiIjISjEQEhERERERWSkGQiIiIiIiIivFQEhERERERGSlGAiJ\\\n",
       "iIiIiIisFAMhERERERGRlWIgJCIiIiIislIMhEREVCv8+OOP6NevX6VfZ/fu3ejQoQO0Wm2lX4uI\\\n",
       "iKi6MRASEVGNV1hYiAULFmDRokWVfq0BAwZAJpNhw4YNlX4tIiKi6sZASERENd7mzZvh4uKCHj16\\\n",
       "VMn1Xn75ZaxcubJKrkVERFSdGAiJiKjKpKamwsfHB5988omu7Pjx47C1tUV0dLTJ8zZu3IghQ4bo\\\n",
       "lfXu3RuzZs3SKwsLC8PLL7+se9+wYUMsWbIE48ePh5OTEwICAvC///0PqampGDZsGJycnNCuXTuc\\\n",
       "OXNGr50hQ4bgzJkzuHnzpvk3S0REVAswEBIRUZXx8vLCmjVr8OGHH+LMmTPIycnBSy+9hJkzZ6Jv\\\n",
       "374mzzt69CiCgoLMuuby5cvRo0cPnDt3DoMGDcJLL72E8ePH48UXX8TZs2fRuHFjjB8/HqIo6s5p\\\n",
       "0KABvL29ceTIEbOuSUREVFswEBIRUZUaOHAgJk+ejHHjxuG1116Do6MjIiIiTNbPzMxEVlYW/Pz8\\\n",
       "zL7e1KlT0bRpUyxcuBDZ2dkIDg7GqFGj0KxZM8ydOxdXrlxBcnKy3nl+fn64e/euWdckIiKqLRgI\\\n",
       "iYioyv33v/+FWq1GVFQUNmzYADs7O5N1CwoKAAByudysa7Vr1073Z29vbwBA27ZtDcpSUlL0zrO3\\\n",
       "t0d+fr5Z1yQiIqotGAiJiKjK3bx5E4mJidBqtbhz506JdT09PSEIAjIyMkptV6PRGJTJZDLdnwVB\\\n",
       "MFlWfJuJ9PR0eHl5lXpNIiKi2oyBkIiIqtT/a+8OdRoJAjgO/w8BCSG8AwaSKsDxBAg0QVAFvAMh\\\n",
       "SIIBs0GUB1iBI8GgCSAagq4raQUOs45g7sQZ7sidaSEl831yNjM79peZ7L69vaXdbmdraytHR0fZ\\\n",
       "29v7cDr33vT0dFqtVnq93odnf1/zfHp6GsseX19f0+/3s7KyMpb1AGBSCUIAvtTh4WGapsnZ2Vn2\\\n",
       "9/ezuLiYnZ2d/85ZX1/P/f39h/Grq6tcXl6m3+/n+Pg4vV4vw+Ewz8/PI+2x2+1mZmYma2trI60D\\\n",
       "AJNOEALwZW5ublJVVeq6zvz8fKamplLXde7u7nJ+fv7Pebu7u7m+vk7TNH+Mb2xs5OTkJK1WK7e3\\\n",
       "t+l0Onl4eEhd1yPt8+LiItvb25mdnR1pHQCYdD9+vv/ONgBMqM3Nzayurubg4CDJ7/8QLi8vp6qq\\\n",
       "sb7n5eUlS0tLeXx8zMLCwljXBoBJ44QQgG/h9PQ0c3Nzn/6ewWCQTqcjBgEoghNCAL6lzzohBICS\\\n",
       "CEIAAIBCuTIKAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEI\\\n",
       "AABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQKEEIAABQqF/Uv3angwZWJAAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[21] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAiBJJREFUeJzt3Xd4U1XjB/BvRpOOdNFdaKFAy4ZimSJ7FK1sGZU9RBQFxIEI\\\n",
       "ggzFLSgi6isyREAUGYJAKVA2SAGRXTaUTqC7zby/P3iaH2mStknTRb6f58nzknPPPffcFF/y7Tn3\\\n",
       "HJEgCAKIiIiIiIjI7ogruwNERERERERUORgIiYiIiIiI7BQDIRERERERkZ1iICQiIiIiIrJTDIRE\\\n",
       "RERERER2ioGQiIiIiIjITjEQEhERERER2SkGQiIiIiIiIjvFQEhERERERGSnGAiJiIiIiIjsFAMh\\\n",
       "ERERERGRnWIgJCIiIiIislMMhERERERERHaKgZCIiIiIiMhOMRASEZFV9u/fD5FIhP3791d2V8jG\\\n",
       "Tpw4AZlMhlu3blX4te/fvw8XFxfs2LGjwq9NRGSPGAiJiKhYy5Ytw8qVKyu7G1b59ddfsXjx4sru\\\n",
       "BgBAp9Ph008/RUhICBwdHdG8eXOsW7eu1OdnZGRg4sSJ8PHxgYuLC7p27YpTp04Z1duwYQNGjBiB\\\n",
       "0NBQiEQidOnSxeK+zpo1C9HR0ahdu7bF55aVl5cXJkyYgPfff7/Cr01EZI9EgiAIld0JIiKqupo2\\\n",
       "bQpvb2+jkUCdTgeVSgWZTAaxuGr+fvH555/HuXPncPPmzcruCmbOnImPP/4YL730Elq3bo0tW7Zg\\\n",
       "+/btWLduHYYNG1bsuTqdDh07dsS///6Lt99+G97e3li2bBnu3LmD+Ph4hIaG6ut26dIF8fHxaN26\\\n",
       "Nc6cOYPmzZtbNIp75swZtGzZEkeOHEH79u2tvd0yuXjxIho3bozY2Fh069atUvpARGQvGAiJiEoh\\\n",
       "NzcXLi4uld2NSmEuEFYHVSUQJiYmIiQkBBMnTsTSpUsBAIIgoHPnzrhx4wZu3rwJiURi9vzffvsN\\\n",
       "Q4cOxcaNG/HCCy8AANLS0hAWFoZnn30Wv/76q77unTt3ULNmTYjFYqt+dlOnTsXmzZtx8+ZNiEQi\\\n",
       "627YBpo1a4aWLVti9erVldYHIiJ7UDV/pUtEVI4SExMxfvx4BAYGQi6XIyQkBK+88gpUKhUAYOXK\\\n",
       "lRCJRIiLi8Orr74KX19f1KpVS3/+smXL0KRJE8jlcgQGBmLy5MnIyMgwuEZCQgIGDRoEf39/ODo6\\\n",
       "olatWhg2bBgyMzP1dWJiYvDMM8/Aw8MDCoUCDRo0wHvvvVdi/0tznlKpxNy5c1G/fn3I5XIEBQXh\\\n",
       "nXfegVKpNGrvl19+QZs2beDs7AxPT0906tQJu3fvBgDUqVMH58+fR1xcHEQikcEURHPPEG7cuBER\\\n",
       "ERFwcnKCt7c3RowYgcTERIM6Y8aMgUKhQGJiIvr37w+FQgEfHx+89dZb0Gq1JX4GW7ZsQVRUlP5n\\\n",
       "WK9ePSxYsMDg3C5dumD79u24deuWvu916tQx2+aYMWP09Yq+PvjggxL7VFJ/1Wo1Xn31VX2ZSCTC\\\n",
       "K6+8grt37+Lo0aPFnv/777/Dz88PAwcO1Jf5+PhgyJAh2LJli8HPNSgoqEwjtps3b0a3bt2MwqC5\\\n",
       "z6FOnToYM2aM/n3hfz+HDh3ClClT4OPjAw8PD7z88stQqVTIyMjAqFGj4OnpCU9PT7zzzjsw9bvp\\\n",
       "nj17Ytu2bSaPERGR7UgruwNERBXp3r17aNOmjf55rIYNGyIxMRG///478vLyIJPJ9HVfffVV+Pj4\\\n",
       "YM6cOcjNzQUAfPDBB5g3bx569OiBV155BZcvX8Z3332Hf/75B4cPH4aDgwNUKhUiIyOhVCrx+uuv\\\n",
       "w9/fH4mJifjrr7+QkZEBd3d3nD9/Hs8//zyaN2+O+fPnQy6X4+rVqzh8+HCx/S/NeTqdDn379sWh\\\n",
       "Q4cwceJENGrUCP/99x+++uorXLlyBZs3b9bXnTdvHj744AM8/fTTmD9/PmQyGY4fP469e/eiV69e\\\n",
       "WLx4MV5//XUoFArMmjULAODn52e2fytXrsTYsWPRunVrLFq0CCkpKViyZAkOHz6M06dPw8PDQ19X\\\n",
       "q9UiMjISbdu2xeeff449e/bgiy++QL169fDKK68U+zmsXLkSCoUC06dPh0KhwN69ezFnzhxkZWXh\\\n",
       "s88+A/DoObjMzEzcvXsXX331FQBAoVCYbfPll19Gjx49DMp27tyJtWvXwtfXV1+Wnp5ebN8Kubq6\\\n",
       "Qi6XAwBOnz4NFxcXNGrUyKBOmzZt9MefeeYZs22dPn0aTz31lFHQa9OmDX744QdcuXIFzZo1K1W/\\\n",
       "ipOYmIjbt2/jqaeeKnNbhX/3582bh2PHjuGHH36Ah4cHjhw5guDgYHz00UfYsWMHPvvsMzRt2hSj\\\n",
       "Ro0yOD8iIgJfffUVzp8/j6ZNm5a5P0REZIZARGRHRo0aJYjFYuGff/4xOqbT6QRBEISff/5ZACA8\\\n",
       "88wzgkaj0R9PTU0VZDKZ0KtXL0Gr1erLly5dKgAQVqxYIQiCIJw+fVoAIGzcuNFsP7766isBgJCW\\\n",
       "lmZR/0tz3po1awSxWCwcPHjQoHz58uUCAOHw4cOCIAhCQkKCIBaLhQEDBhjcjyD8/2chCILQpEkT\\\n",
       "oXPnzkbX2bdvnwBA2LdvnyAIgqBSqQRfX1+hadOmQn5+vr7eX3/9JQAQ5syZoy8bPXq0AECYP3++\\\n",
       "QZstW7YUIiIiiv8QBEHIy8szKnv55ZcFZ2dnoaCgQF8WFRUl1K5du8T2TElISBDc3d2Fnj17Gvw9\\\n",
       "AFCq188//2zQj7p16xpdIzc3VwAgvPvuu8X2xcXFRRg3bpxR+fbt2wUAws6dO02eZ+5nZ86ePXsE\\\n",
       "AMK2bduMjgEQ5s6da1Reu3ZtYfTo0fr3hf/9REZGGvw9at++vSASiYRJkybpyzQajVCrVi2TfTxy\\\n",
       "5IgAQNiwYUOp+09ERJbjlFEishs6nQ6bN29Gnz590KpVK6PjRafIvfTSSwbPde3ZswcqlQrTpk0z\\\n",
       "GKl56aWX4Obmhu3btwMA3N3dAQC7du1CXl6eyb4UjpRt2bIFOp2u1PdQmvM2btyIRo0aoWHDhkhP\\\n",
       "T9e/Chfn2LdvH4BHUwN1Oh3mzJljNPJkzbNjJ0+eRGpqKl599VU4Ojrqy6OiotCwYUP95/O4SZMm\\\n",
       "Gbzv2LEjrl+/XuK1nJyc9H/Ozs5Geno6OnbsiLy8PFy6dMnivheVm5uLAQMGwNPTE+vWrTP4exAT\\\n",
       "E1OqV2RkpP6c/Px8/Wjh4wo/p/z8/GL7U9bzS+v+/fsAAE9PzzK3NX78eIO/R23btoUgCBg/fry+\\\n",
       "TCKRoFWrViZ/5oV9KO2ILBERWYdTRonIbqSlpSErK6vU089CQkIM3hfuydagQQODcplMhrp16+qP\\\n",
       "h4SEYPr06fjyyy+xdu1adOzYEX379sWIESP0YXHo0KH43//+hwkTJuDdd99F9+7dMXDgQLzwwgvF\\\n",
       "Pv9VmvMSEhJw8eJF+Pj4mGwjNTUVAHDt2jWIxWI0bty4VJ9HScx9PgDQsGFDHDp0yKDM0dHRqI+e\\\n",
       "np54+PBhidc6f/48Zs+ejb179yIrK8vg2OPPaVrrpZdewrVr13DkyBF4eXkZHCs6rbQ0nJycTD6/\\\n",
       "WVBQoD9enudbSrDBc3vBwcEG7wv/7gcFBRmVm/qZF/ahMhe2ISKyBwyERERmlOVL9hdffIExY8Zg\\\n",
       "y5Yt2L17N6ZMmYJFixbh2LFjqFWrFpycnHDgwAHs27cP27dvx86dO7FhwwZ069YNu3fvNrviZGnO\\\n",
       "0+l0aNasGb788kuTbRT9Ql5ZiltVszgZGRno3Lkz3NzcMH/+fNSrVw+Ojo44deoUZsyYYdGIqylL\\\n",
       "lizBunXr8MsvvyA8PNzoeHJycqnacXd31/8dCggIwL59+yAIgkHASUpKAgAEBgYW21ZAQIC+7uNK\\\n",
       "e35pFYbf0oTyQubCo7mfr6lyU20U9sHb27vUfSEiIstxyigR2Q0fHx+4ubnh3LlzVp1fuEn35cuX\\\n",
       "DcpVKhVu3LhhtIl3s2bNMHv2bBw4cAAHDx5EYmIili9frj8uFovRvXt3fPnll7hw4QI+/PBD7N27\\\n",
       "Vz+l05ySzqtXrx4ePHiA7t27o0ePHkavwhG8evXqQafT4cKFC8Ver7QjNOY+n8IyW21yvn//fty/\\\n",
       "fx8rV67E1KlT8fzzz6NHjx4mpzlaOrp08OBBvPXWW5g2bRqGDx9usk5AQECpXhs2bNCfEx4ejry8\\\n",
       "PFy8eNGgrePHj+uPFyc8PBynTp0yCrvHjx+Hs7MzwsLCLLpPcxo2bAgAuHHjhsnj2dnZRmWFI862\\\n",
       "VtiHogvxEBGRbTEQEpHdEIvF6N+/P7Zt24aTJ08aHS9pmlyPHj0gk8nw9ddfG9T96aefkJmZiaio\\\n",
       "KABAVlYWNBqNwbnNmjWDWCzWT/t78OCBUfuFocDU1MBCpTlvyJAhSExMxI8//mhUNz8/X79iav/+\\\n",
       "/SEWizF//nyjoPH4/bm4uBhtq2FKq1at4Ovri+XLlxvcw99//42LFy/qP5+yKhxheryPKpUKy5Yt\\\n",
       "M6rr4uJS6imkSUlJGDJkCJ555hn9SqWmWPMMYb9+/eDg4GDQR0EQsHz5ctSsWRNPP/20QT8uXboE\\\n",
       "tVqtL3vhhReQkpKCTZs26cvS09OxceNG9OnTx+TzhdaoWbMmgoKCTP73AcBoi5G///4bBQUF5bI1\\\n",
       "RHx8PNzd3dGkSRObt01ERP+PU0aJyK589NFH2L17Nzp37qzfkiEpKQkbN27EoUOHDLZFKMrHxwcz\\\n",
       "Z87EvHnz0Lt3b/Tt2xeXL1/GsmXL0Lp1a4wYMQIAsHfvXrz22msYPHgwwsLCoNFosGbNGkgkEgwa\\\n",
       "NAgAMH/+fBw4cABRUVGoXbs2UlNTsWzZMtSqVavY7QdKc97IkSPx22+/YdKkSdi3bx86dOgArVaL\\\n",
       "S5cu4bfffsOuXbvQqlUr1K9fH7NmzcKCBQvQsWNHDBw4EHK5HP/88w8CAwOxaNEiAI+W///uu++w\\\n",
       "cOFC1K9fH76+vvoFah7n4OCATz75BGPHjkXnzp0RHR2t33aiTp06eOONN6z9sRl4+umn4enpidGj\\\n",
       "R2PKlCkQiURYs2aNyVASERGBDRs2YPr06WjdujUUCgX69Oljst0pU6YgLS0N77zzDtavX29wrHnz\\\n",
       "5mjevDkA654hrFWrFqZNm4bPPvsMarUarVu3xubNm3Hw4EGsXbvWYBrlzJkzsWrVKty4cUO/b+IL\\\n",
       "L7yAdu3aYezYsbhw4QK8vb2xbNkyaLVazJs3z+BaBw4cwIEDBwA8em42NzcXCxcuBAB06tQJnTp1\\\n",
       "Krav/fr1w59//mk0vRUALl68iOeeew59+/bFvXv3sGTJEri7u+PIkSNYt24doqOjLf5szImJiUGf\\\n",
       "Pn34DCERUXmrjKVNiYgq061bt4RRo0YJPj4+glwuF+rWrStMnjxZUCqVgiD8/7L5pramEIRH20w0\\\n",
       "bNhQcHBwEPz8/IRXXnlFePjwof749evXhXHjxgn16tUTHB0dhRo1aghdu3YV9uzZo68TGxsr9OvX\\\n",
       "TwgMDBRkMpkQGBgoREdHC1euXCm276U9T6VSCZ988onQpEkTQS6XC56enkJERIQwb948ITMz06Du\\\n",
       "ihUrhJYtW+rrde7cWYiJidEfT05OFqKiogRXV1cBgH6LgKLbThTasGGDvr0aNWoIw4cPF+7evWtQ\\\n",
       "Z/To0YKLi4vR/c2dO1cozT9Nhw8fFtq1ayc4OTkJgYGBwjvvvCPs2rXLqD85OTnCiy++KHh4eAgA\\\n",
       "it2ConPnzma3kDC13YKltFqt8NFHHwm1a9cWZDKZ0KRJE+GXX34xqle4JceNGzcMyh88eCCMHz9e\\\n",
       "8PLyEpydnYXOnTub/Dta+Blaex+nTp0SABhtWwJAmD59ujB48GDByclJCAgIEJYuXSosX75ccHZ2\\\n",
       "FiZMmCAIgvn/fgr7VXTLFFN/Fy5evCgAMPhvhoiIyodIEMphngcRERFVW927d0dgYCDWrFmjLxOJ\\\n",
       "RJg7dy4++OCDcr/+tGnTcODAAcTHx3OEkIionPEZQiIiIjLw0UcfYcOGDfqtRCrS/fv38b///Q8L\\\n",
       "Fy5kGCQiqgB8hpCIiIgMtG3bFiqVqlKu7eXlhZycnEq5NhGRPeIIIRERERERkZ3iCCERERGViEsO\\\n",
       "EBE9mThCSEREREREZKcYCImIiIiIiOwUp4wSUbWk0+lw7949uLq6ciVCIjIgCAKys7MRGBgIsdjy\\\n",
       "332/9dZbOHnypEXntGrVCp9//rnF1yIiqmwMhERULd27dw//+9//KrsbRFRFzZs3D3fu3EGtWrUs\\\n",
       "Ou+tt97CF198YfH14uLiAIChkIiqHQZCIqqWXF1dAYCjg0RkVuH/T1jC0pFBa8819f9dhQv3fP/9\\\n",
       "95g0aZLRcU9PTzx48MDq/hERmcJASETVEoMgEZWkrP8/Udrzbb0C66pVq/R/lkgk0Gq1AICHDx/a\\\n",
       "9DpERAADIREREZERkUhkUaC0NBQ+Xr/odY4cOWKyPwCgUCiQk5Nj0bWIiIrDQEhERERUhDWBMD4+\\\n",
       "Hl26dNGXde7cGfPmzbNpv1q1amXT9oiIGAiJiIiIirA0EAJATk6OfnEZ4NFCM7YIhG+99Zb+z/v3\\\n",
       "7y9ze0REj2MgJCIiIirCmkCoUCgQERGhf9+5c+cy9+P777/Xr3pqi/aIiIpiICQiIiIqwppAGBER\\\n",
       "YdMRvMdXGw0NDeXoIBGVC8t3ayUiIiKicvV4GAwODsaVK1cquUdE9KRiICQiIiIqonCEsLQvS/Xt\\\n",
       "29foXJFIBIVCYbQPYX5+Pnx9feHr68uN74nI5hgIiYiIiIoo70C4bds2k+W5ubmYOnWqQVlaWpr+\\\n",
       "9fbbb1t1P0RE5vAZQiIiIqIirA16pWXrzeyJiKzFQEhERERURHkHQiKiqoKBkIiIiKgIBkIishd8\\\n",
       "hpCIiIiIiMhOcYSQiIiIqAiOEBKRveAIIRGV2scffwyRSIRp06YVW2/jxo1o2LAhHB0d0axZM+zY\\\n",
       "scPguCAImDNnDgICAuDk5IQePXogISGhHHtORGSZ8l5llIioqmAgJKJS+eeff/D999+jefPmxdY7\\\n",
       "cuQIoqOjMX78eJw+fRr9+/dH//79ce7cOX2dTz/9FF9//TWWL1+O48ePw8XFBZGRkSgoKCjv2yAi\\\n",
       "KhUGQiKyFwyERFSinJwcDB8+HD/++CM8PT2LrbtkyRL07t0bb7/9Nho1aoQFCxbgqaeewtKlSwE8\\\n",
       "Gh1cvHgxZs+ejX79+qF58+ZYvXo17t27h82bN1fA3RARlYyBkIjsBQMhEZVo8uTJiIqKQo8ePUqs\\\n",
       "e/ToUaN6kZGROHr0KADgxo0bSE5ONqjj7u6Otm3b6uuYolQqkZWVZfAiIiovDIREZC8YCImoWOvX\\\n",
       "r8epU6ewaNGiUtVPTk6Gn5+fQZmfnx+Sk5P1xwvLzNUxZdGiRXB3d9e/goKCLLkNIiIiIjKBgZCI\\\n",
       "zLpz5w6mTp2KtWvXwtHRsVL7MnPmTGRmZupfd+7cqdT+ENGTjSOERGQvuO0EEZkVHx+P1NRUPPXU\\\n",
       "U/oyrVaLAwcOYOnSpVAqlZBIJAbn+Pv7IyUlxaAsJSUF/v7++uOFZQEBAQZ1wsPDzfZFLpdDLpeX\\\n",
       "9ZaIiEqFQY+I7AVHCInIrO7du+O///7DmTNn9K9WrVph+PDhOHPmjFEYBID27dsjNjbWoCwmJgbt\\\n",
       "27cHAISEhMDf39+gTlZWFo4fP66vQ0RUFXB0kIjsAUcIicgsV1dXNG3a1KDMxcUFXl5e+vJRo0ah\\\n",
       "Zs2a+mcMp06dis6dO+OLL75AVFQU1q9fj5MnT+KHH34AAP0+hgsXLkRoaChCQkLw/vvvIzAwEP37\\\n",
       "96/Q+yMiMseSsMdQSETVGQMhEZXJ7du3IRb//2SDp59+Gr/++itmz56N9957D6Ghodi8ebNBsHzn\\\n",
       "nXeQm5uLiRMnIiMjA8888wx27txZ6c8pEhEVYiAkInvBQEhEFtm/f3+x7wFg8ODBGDx4sNk2RCIR\\\n",
       "5s+fj/nz59u4d0REtsFASET2gs8QEhERERER2SmOEBIREREVwRFCIrIXDIRERERERTAQEpG9YCAk\\\n",
       "oife3LlzK7sLRGRD8+bNK/drMBASkb1gICQiIiIqgoGQiOwFAyERERFREQyERGQvuMooERERERGR\\\n",
       "neIIIREREVERHCEkInvBQEhERERUBAMhEdkLBkIiIiKiIhgIicheMBASERERFcFASET2goGQiIiI\\\n",
       "qAgGQiKyF1xllIiIiIiIyE5xhJCIiIioCI4QEpG9YCAkIiIiKoKBkIjsBQMhERERUREMhERkLxgI\\\n",
       "iYiIiIpgICQie8FASERERGQCgx4R2QOuMkpERERERGSnOEJIREREVASnjBKRvWAgJCIiIiqCgZCI\\\n",
       "7AUDIREREVERDIREZC8YCImIiIiKYCAkInvBQEhERERUBAMhEdkLBkIiIiKiIhgIichecNsJIiIi\\\n",
       "IiIiO8URQiIiIqIiOEJIRPaCgZCIiIioCAZCIrIXnDJKREREVERhICztyxbtPy4lJcXouFTK3+MT\\\n",
       "ke0xEBIREREVUd6BsCT+/v5GZVqtFm+99ZbNr0VE9o2BkIiIiKiI8g6EgiDoX0WlpKQY1Wvfvj0A\\\n",
       "4IsvvrD+poiITGAgJCIiIqpCgoODjcqOHDlSCT0hInvAyehERERERVizqEx8fDy6dOmiL+/cuTPm\\\n",
       "zZtn8bVVKhUAwMvLy+JziYgsxUBIREREVIQ1gTAnJwdxcXH68ri4OKsCIRFRRWIgJCIiIirCmkCo\\\n",
       "UCgQERGhL+/cubNV15bJZFCpVLh//75V5xMRWYKBkIiIiKgIawJhREQE9u/fX+Zr375922iV0cen\\\n",
       "ohIR2RIDIREREVER5b0xfd++fbFt2zajdlxcXJCTk2O27TfffNPiaxERFYerjBIRERFVsKJhsFBu\\\n",
       "bi4AIDk52eiYRCLB559/Xq79IiL7wxFCIiIioiLKe4TQ1P6Dj/Pz8yuxDhGRLTAQEhEREZlgTdAj\\\n",
       "IqpuGAiJiIiIiijvEUIioqqCgZCIiIioCAZCIrIXDIRERERERTAQEpG9YCAkIiIiKoKBkIjsBbed\\\n",
       "ICIiIiIislMcISQiIiIqgiOERGQvGAiJiIiIimAgJCJ7wUBIREREVAQDIRHZCwZCIiIioiIYCInI\\\n",
       "XjAQEhERERXBQEhE9oKrjBIREREREdkpBkIioiqscJTi8ZdcLq/sblWoe/fumfwcSvNycHAosf3e\\\n",
       "vXtb3X5ZXxKJBAMHDsS4cePg4OBQIdek0uHnSkT2glNGiYiqmXr16lV2FyrUzZs3rT63Ro0aJdY5\\\n",
       "fvy41e2XlU6nw9atWyEWi6HRaCqtH2SMU0aJyF4wEBIRVTNHjhyp7C5UqJMnT1p97tatW4s9npeX\\\n",
       "h4yMDKvbtwWtVgutVlupfSBjDIREZC84ZZSIqApTKBRwcnKCXC5HUFAQ7t27Bw8Pj8ruVoWqVatW\\\n",
       "scfNfXEPDQ1F27Ztiz23W7duZeobPbk4ZZSI7AUDIRGZtWjRIrRu3Rqurq7w9fVF//79cfny5RLP\\\n",
       "27hxIxo2bAhHR0c0a9YMO3bsMDguCALmzJmDgIAAODk5oUePHkhISCiv26jWsrOzkZeXh4KCAty+\\\n",
       "fRsBAQGV3aUKFxUVZbJcLBbjypUr0Gq10Ol00Ol0SE9Px65du5CcnIwrV64U2+7ly5etni46ePBg\\\n",
       "XL58GR988AHDwBOKgZCI7AUDIRGZFRcXh8mTJ+PYsWOIiYmBWq1Gr169kJuba/acI0eOIDo6GuPH\\\n",
       "j8fp06fRv39/9O/fH+fOndPX+fTTT/H1119j+fLlOH78OFxcXBAZGYmCgoKKuC2qZuRyOT744AOD\\\n",
       "Ml9fX6jVaoSGhuq/jItEInh5eaFXr17w8/Mrts1z586hYcOGVvXnn3/+wW+//YawsDDMnTsXarUa\\\n",
       "jo6OVrVVHiQSCUaOHInRo0dDIpFUdneIiKiKYyAkIrN27tyJMWPGoEmTJmjRogVWrlyJ27dvIz4+\\\n",
       "3uw5S5YsQe/evfH222+jUaNGWLBgAZ566iksXboUwKPRwcWLF2P27Nno168fmjdvjtWrV+PevXvY\\\n",
       "vHlzBd0ZVSSdTof8/PwytTF37lzk5eXh6NGjyMzMREpKCsRiy/8JUyqVaNCgAZo1a2ZVP+rWrYtW\\\n",
       "rVoZlEkkEmRlZVWJUaJOnTpBo9Fg9erVWLlyJfLz8yGVcrkAa3CEkIjsBQMhEZVaZmYmgOJXbjx6\\\n",
       "9Ch69OhhUBYZGYmjR48CAG7cuIHk5GSDOu7u7mjbtq2+jilKpRJZWVkGL6r6hg0bBolEAmdnZzg7\\\n",
       "O5dpJU0nJye0a9cObm5uFp+blZUFb29vODo6ljiVtDjmfhni4OCAGTNmWN2uLcydOxdxcXEGZQ4O\\\n",
       "Drh27Vol9ah6YyAkInvBQEhEpaLT6TBt2jR06NABTZs2NVsvOTnZaLqen58fkpOT9ccLy8zVMWXR\\\n",
       "okVwd3fXv4KCgqy9FaogL7zwAjZs2KB/n5+fj06dOlV4P/Ly8uDh4YH79++XqR2JRFLsgj4LFiwo\\\n",
       "U/tlsW3bNqNptYWCg4PRpk2biu3QE4CBkIjsBQMhEZXK5MmTce7cOaxfv75Srj9z5kxkZmbqX3fu\\\n",
       "3KmUflRFgiBArVZDEASrzs/Ly8OQIUPQqlUrm40m5eXl4Y8//jAqP336dLHnKZVKpKSkWH0vphw8\\\n",
       "eNAm7X3yySfFHpdKpahZs2aZr2OKSCSCTCaDk5MTZDIZpFIp5HI5unXrhoKCAjz//PPFnn/06FHU\\\n",
       "rl27XPr2JGMYJCJ7wEBIRCV67bXX8Ndff2Hfvn0lbgHg7++PlJQUg7KUlBT4+/vrjxeWmatjilwu\\\n",
       "h5ubm8GLHhGJRNDpdFaFnuTkZPj6+mLjxo2Ij49HixYtbLInXseOHU2Wu7q6mj1n9erVcHR0hL+/\\\n",
       "Pzw8PEq8H5VKhaNHj5a4GFGnTp3K9KVdJBIhKioKb775Zol1H188qaxEIhFGjx6N/Px86HQ6KJVK\\\n",
       "5OXlQalUQq1Wo6CgALGxsZDL5SW2JRaLcf36dRw6dMhm/XvScYSQiOwFnzQnIrMEQcDrr7+OP//8\\\n",
       "E/v370dISEiJ57Rv3x6xsbGYNm2aviwmJgbt27cHAISEhMDf3x+xsbEIDw8H8Oj5ruPHj+OVV14p\\\n",
       "j9uwC6UJBUXpdDrExMQYBKrShkqtVgtBEEwuWCIIAs6cOWPyvF9++cVkuSAIGDNmjP59VlYWTpw4\\\n",
       "YXYfwYcPH8Lb2xs6nQ4SiQTZ2dlwcnIyWdfJyQkPHz7EkCFDcP36dbRt2xbDhg1D7dq1kZmZiYMH\\\n",
       "D+LIkSPQaDTo1KkTBg8ejJo1a8LBwQHAo6mipf3C7+HhgcuXL6N58+ZQKpWlOqeQSCSCg4MD6tSp\\\n",
       "gx9++KHMQbYosViMDh062Kw9IiJ6MjAQEpFZkydPxq+//ootW7bA1dVV/4yfu7u7/sv3qFGjULNm\\\n",
       "TSxatAgAMHXqVHTu3BlffPEFoqKisH79epw8eRI//PADgEdfeqdNm4aFCxciNDQUISEheP/99xEY\\\n",
       "GIj+/ftXyn3aK7FYjOjoaIjFYrz//vtwcHDA9u3bS9yqIC4uDr169YJGo4G3tzcOHDiABg0a6I9v\\\n",
       "3boVOp3O6DyRSISePXuabDMrK8sojO7fv99sIPTz89NfQ6vVokOHDjh27BhkMpnJ+u7u7ti1a5fJ\\\n",
       "Y88884zJcmuFhYWhoKAA2dnZ+Pzzz/Hxxx9DpVKZrOvo6Ijly5cjOjrabN+pclgy8scRQiKqzjhl\\\n",
       "lIjM+u6775CZmYkuXbogICBA/3p8oZDbt28jKSlJ//7pp5/Gr7/+ih9++AEtWrTA77//js2bNxss\\\n",
       "RPPOO+/g9ddfx8SJE9G6dWvk5ORg586dVWovN3shlUoxfPhwXL9+HZcvX0b9+vWLra/RaNC9e3eo\\\n",
       "VCrodDqkpqaiYcOGkEqlaNSoEdq3b4/o6GiT53p4eJj94mzqZ//CCy+YrFu4J+bjTp8+jVdffbXY\\\n",
       "vlc0V1dXzJs3D3l5eejdu7fBvYvFYixfvhz5+fkYPXo0w2AVxCmjRGQvOEJIRGaVZvrg/v37jcoG\\\n",
       "Dx6MwYMHmz1HJBJh/vz5mD9/flm6R5VgxYoVJp8x1Gq1uHTpUrHn5uXlQafTmdw/UC6Xo27durh+\\\n",
       "/ToAwMfHB/Xq1TPZjrmguGLFCixdurTK/WJBIpFgx44d2LJlC6ZOnQqFQoHt27ejTp06ldKfJyG8\\\n",
       "zJw5s9xDNEcIichecISQiIhKbfr06Vafq1Qq0ahRI7O/aLh27RqOHTuGAwcOGC069LicnByT5YIg\\\n",
       "wMXFBVu3bi3TqqvlQSQSoX///rh69Sr+/fffSguDVHocISQie8FASEREpZKeno7c3NwytXHlyhU4\\\n",
       "ODiYDXVt27ZFx44di/2CbW7xGODRQjn9+vWDTCaDRCKBt7c3MjMzy9RnW3JwcDC5EI8pBQUFeP/9\\\n",
       "9/G///3P5DOZVL4YCInIXnDKKBERlYqtRrW0Wi38/PysDpfnz58vVV8EQcD9+/dRq1YtZGdnW3Wt\\\n",
       "yqJSqaBQKPTTc6dMmYKcnByT022pfHDKKBHZC/7LQkREJZoyZUqZRwcfl5+fb/WUztq1ayM/Px9P\\\n",
       "PfVUqb6I5+bmlnn66P3793H79u0Km4Y6YsQIg2c18/Pz0aVLlwq5NhER2RcGQiIiKpZGo8E333xj\\\n",
       "0zbr1atXplEVR0dHxMfHQ6vV4quvviq2riX7CBal0+ng7+8Pb29v1K5dG3K5HPn5+Va1ZYl9+/YZ\\\n",
       "lR08eBD37983KtdoNNi0aRM2bNhgcsEfsg6njBKRvWAgJCKiYt26dcum7QUGBuLKlSs2aatwX8v8\\\n",
       "/HzMmDHDZJ3Zs2db3f73339vsMCNWq2Gn59fieeVdSSxSZMmJsv9/Pxw8+ZNCIIAtVqNV199FTKZ\\\n",
       "DIMGDcKwYcPg7+9fpRbTqc4YCInIXjAQEhFRsfz9/S2q7+joiMWLF+Ps2bPYtGkTBg0ahNatW+Od\\\n",
       "d95BVlYWEhMTbf4F2tHRER9//DFu3bplsB1Bs2bNMHfuXKvbfXzPzULZ2dlmt9i4cuUKFAoFZDIZ\\\n",
       "Jk2aZPV1t23bZrJcq9UiJCQEEokEMpkM3333nUEATE9Pr1KL6FRnDIREZC8YCImIqFguLi4YOXJk\\\n",
       "qeq+++67yM/Px9SpU9GsWTMMGDAAv//+O06cOIFPPvkErq6u5drX4OBgKJVK5OXlIT8/H2fPni1T\\\n",
       "e+buu3nz5kYrf86YMQMNGjRAbm4uNBoNvv/+e/z9998mz9dqtejRowdq1KiBRYsWGR13dXXFlClT\\\n",
       "zPbL3CigSCSqcvswVlcMhERkLxgIiYioRKtXr0ZqaipatGgBiURidNzb2xsZGRkmw01lcHJyskkw\\\n",
       "GjNmjMkv+2q1GgqFAjt27MDevXtRo0YNfPrpp0b1Bg0aZLLdGjVqIDY2Fg8fPsR7772HXr16GdVZ\\\n",
       "smQJ2rRpY1F/J06cyEBoIwyERGQvGAiJiKhUfHx8cObMGWg0GqhUKty5cweXL19Gfn4+0tLS4O7u\\\n",
       "XtldtDmJRIIff/zR5LH8/HxERUWhe/fuePjwock6BQUFRqN5SqUSWVlZBmV79uwxOep3/Phx+Pj4\\\n",
       "lKqfhw4dwvLly0usKwhCtX/J5XIGNCIiG2EgJCKyQzqdDkql0urzHRwcUKtWLYSFhT3xI1Ljxo3D\\\n",
       "wIEDrT6/NIu8iMVisyEmKSmp2P0HZ82aBbVajQ4dOljdRzLGEUIishfcmJ6IyA6JxWKDxVcqkk6n\\\n",
       "Q15eHiQSCRwdHavkl2mtVguRSKQPauvWrUNAQAAePHhgUTvu7u5G9yeXy+Hr64vU1FR9mblRSODR\\\n",
       "6N+1a9dQt25dg3CpUCiQkpICZ2dni/pEpcON6YnIXnCEkIjITlXGl9ghQ4ZAIpHA1dUVzs7OkEgk\\\n",
       "aN68OS5dugS1Wg2tVguNRgO1Wl0p2yfEx8dDJpNBKpVCKpUiNjYWgiDAwcEB7777bqnbEYlE8PT0\\\n",
       "xNatW01+zsnJyfjuu+/Qr18/3L17F2PHji22vTp16uDOnTto3Lgx6tati4MHDyI7O5thsBxxhJCI\\\n",
       "7AVHCImIqEL0798fW7ZsMSgTBAH//fcfGjVqpP9iXRgERSIRatSogWXLlmHAgAGQSq37Jys/Px8n\\\n",
       "TpxAixYt4OHhYbbevXv30KpVK4O+9erVCzdu3EDNmjXRrFmzEq/VoEEDHDhwAF5eXsUGBZFIhEmT\\\n",
       "Jlm0NUXNmjVx/vz5UtensuEIIRHZC44QEhGRVZKSknDz5s1S1U1LSzMKg0UJggCdTqdfOESn0yE9\\\n",
       "PR1DhgyBg4MDHBwcUKNGDXh4eOhH8dzc3HDgwAGzbV64cAEuLi7o0qULPD098fTTT5ut26BBA6My\\\n",
       "nU6H48ePAyh5P8ZPP/0Uly5dgq+vLyQSSbHPBVLVxxFCIrIXDIRERGSR/Px8eHp6IjAwECEhIYiO\\\n",
       "ji62viAICAwMLPN1NRoNHj58iMzMTP300uzsbHTu3BnPPvss8vPzDeqr1Wo0bdrUYOrp0aNHTfYl\\\n",
       "OzsbOTk5RuVisRjPPfccJBIJGjRoYHZxl7p16+Ltt9822/fKmP5KRERUGgyERERkklarhUqlglar\\\n",
       "hVarRW5uLmbOnAkXFxdkZGTo6/32229m2xAEAe7u7tBoNOXa1507d8LT0xNarVZ/3QYNGpgMYklJ\\\n",
       "SfDz8zOoa2ofQOD/RxiBR3sb1qlTx6iOWCzGlStXiu3fqVOn0L17d4wdOxbJycmW3BpVEo4QEpG9\\\n",
       "YCAkIiIDd+/eRXBwMJycnKBQKODm5gZXV1e4urri448/NgpZxY1+1a5dG9nZ2eXdZQCP9vcbMGAA\\\n",
       "7t27h3HjxuHGjRtm66ampkImk6F169YICwvTTwst5ODggIMHDxpNIz1y5IhRW9euXYNEIim2b336\\\n",
       "9MHevXuxcuVKBAQEwMnJCffv37fg7mxDp9NV+DWrs/IKgzExMSbbSUlJKYe7ICIqHgMhEZEdEAQB\\\n",
       "SqUSSqXSbIArKChAcHAwgoKCcOfOHajVaqjVauTl5SE/P9/seeZWukxLS8OdO3dsdg+lsWPHDjRq\\\n",
       "1AgrV64ssa5Op8PJkydx9epV/b05OTnh9OnTUKlUeOaZZ4zO8fPzw99//w13d3cEBQXh/v37JkcN\\\n",
       "i0pLSzN4X1BQAB8fH5MBoPDZSbVaXWK7lhg/frzVC/PYo/IcIXx8RFoul+v/XNJzqkRE5YH/MhAR\\\n",
       "PeGysrIQERGB69evQ6fTQSQSwd3dHR07dkTHjh1x48YNrFu3zmAaqCXatWtnsvzEiRNl6LV1tFot\\\n",
       "srKyrDpXIpHgzp078PLyKrZe7969Lf6sTD17KAgCWrRogaSkJINAIQgC5HK5TcPbnDlzsGLFCpu1\\\n",
       "Zw8qYpXRx3/JwmmnRFRZGAiJiJ5gWq0W4eHhBtMnBUFARkYGtm3bhm3btpX5Gl27djVZ3q1btzK1\\\n",
       "6+zsDJ1Oh4KCgjK1U1oeHh4lhkFrde3aFbt27TIqf/jwIQRBMAgDhfs02oogCFi4cKHN2rMX1gTC\\\n",
       "+Ph4dOnSRV/euXNnzJs3z+x5UqkUGo2GYZCIKhWnjBIRVWEnT55EUlKS1c9+JScnl/u0zaLTIQs5\\\n",
       "OTnh+PHj+pEukUgER0dHeHt7G0yTK8rd3R35+fnIzc1Ffn4+4uPji72+TCZDSEgIfHx8rL8JAC+8\\\n",
       "8EKZzi/O1q1bTZY3bdrU7MqlJcnIyEBISAgCAwNx/fp1s/UyMzO5yqkVrJkympOTg7i4OP1r/vz5\\\n",
       "Jtv+999/ATz6hU3R0WEioorGQEhEVIW1bt0agYGBcHd3x4MHDyw+38XFpdjwVRI3Nzf069cPMpnM\\\n",
       "bB1TI1+F2rRpA7VaDZ1OB51Oh/z8fKSlpaGgoAC5ublo166d/guxRCLB0qVLkZGRAUdHR30bTz31\\\n",
       "FMaMGWOy/Y4dOyIjIwMXLlzAoUOHSlzcpbiRmMWLFxd7blnIZDIcO3bMoEwikeDw4cNWtxkWFoab\\\n",
       "N28iKSkJ9evXNzuNlQuVVByFQoHOnTvrX3PmzDFZr0WLFibLOVJIRJWBU0aJiKqBnJwcdOrUCefO\\\n",
       "nbPoPA8PDzx8+BAvvvgiNm3aZNFI4927d1GzZk39+8jISOzevduoXkJCQoltmfqi6+zsjKNHj5aq\\\n",
       "Lz///DNu3ryJ/fv3A3g01S47O9sgOIaFhWHr1q2IiooyOj8iIgInTpzQj8ZptVqcOHECf/31F4YM\\\n",
       "GWL2CzrwaP/DunXr4u7duwCAZs2a4eTJk3BwcChV3wu1bdsWgiDofwbWjgwC/7/wTCFBEFCjRg2o\\\n",
       "1WqjUFyvXj2rr2PPrJkyGhERof87Whp8hpCIqgKOEBIRVQMikQizZ8+26lwHBwds2LAB3333HTw8\\\n",
       "PCCVSvUvU19CC/fVezwMAo/2+jMVYipqK4N9+/YhISEBx44dg0qlMgiDhZ577jm8+OKLBmWtWrXC\\\n",
       "P//8Y9B3iUSC9u3b48MPPyw2DAJAdHQ07ty5A0EQIAgCzp49C2dnZ+Tm5lp1H2KxuExhsLCNoqO2\\\n",
       "giDgo48+MqorlUoRHh5epuvZI+5DSET2goGQiKgKc3Jygp+fH/744w8MGzbM6nbEYjEGDBiA6Oho\\\n",
       "TJkyBdnZ2VCpVNDpdNBoNEhOTsauXbvw77//Qq1WIzQ01KgNkUiEf/75pyy3U2b169dH27Zti/0C\\\n",
       "vnbtWhQUFODq1avIzs7GP//8U6Yv7H///bdRmUajMQrMFe3HH380KjP3zNrp06cxbty4EqfU0v+r\\\n",
       "iEBY+FwtAyURVSYGQiKiKiw7OxtJSUkYMGBAmdv67LPPsG7dOsTHxxt8CZVIJPDz80OvXr3QvHnz\\\n",
       "YkevnnrqKTRs2NCgzNKpkxVBLpejXr16UCgUZW7L3P1lZmYiPz+/zO1ba+TIkUZ902g02Lt3r8n6\\\n",
       "P/30EzQaTUV07YlQUfsQKpVK/Z8/++wzm/WfiKi0GAiJiKowiURik9GDv//+G5999hkyMjIQFxcH\\\n",
       "rVZrdVvnz583CCKff/55mftXlU2YMMHssce/zFeGK1euGJVFRkZW2DTeJ1l5BsJdu3bppyA//nrr\\\n",
       "rbfK6W6IiMxjICQisgNvvPGGwfukpCSr2xKLxYiKioJIJIJMJjO7AuiTYsKECWa/8JdlBVdbCA4O\\\n",
       "NuqbRqMx2HeSiIioOAyERERPOJ1Oh8uXLxuUFZ32aalVq1bhgw8+wI0bN2y6iXpV1KBBA5MjN97e\\\n",
       "3nBycqqEHv0/sVhssBF6oQYNGnCUsIy4qAwR2QsGQiKiauru3buoUaMGpFIp3N3dzW7hYCoY5Obm\\\n",
       "lmnaaGpqKvr164eAgACr26hOPv30U+zcuRPu7u6QSCTw9PTE+fPnK7tbAIBFixYZlWm1WgwaNKgS\\\n",
       "evPkYCAkInvBQEhEVA1dv34dQUFBePjwIbRaLbKysvD0009jx44dRnWlUqnJ1SXVarXF17158yYC\\\n",
       "AgLQuHFjTJ482aq+W0sQBGi1Wmg0GoPX43u5WaO0I2mRkZF48OABMjIykJKSAl9f3zJd11YCAwNN\\\n",
       "lm/ZsoWjhGXAQEhE9oKBkIioGmrevLnJ8hdeeMFk+Z49ewzeSyQSi55/EwQBdevWRUhICJKTk6FW\\\n",
       "q3H48GGkpKSUvtNWunv3Lnx9fSGVSuHg4AAnJyfUq1cP3333HbKysqxuV6vVYtq0aQgMDESvXr1Q\\\n",
       "UFBQ4jlisRgKhaJKrax6/fp1k+WFeyaSdRgIicheMBASEVUzgiCYXd3S3LYCXbp0wW+//aZftfT2\\\n",
       "7dsWfYkdMmSIyYVKzAVQW8nLy0NISAjS0tKg0+kgCIJ+38TGjRvD09PTqi/jOp0OzZo1w5IlS5CS\\\n",
       "koKYmBi0a9euTH1VKpX4999/cf369XIbmdPpdMjPz4dSqYRGo8HDhw8xduxYs/Wf9AV/yhMDIRHZ\\\n",
       "CwZCIqJqKDIy0mT522+/bfacwYMHQ6PRQKvVmp1maM6ff/5psvz06dMWtWOppKQkkyF38ODB6N69\\\n",
       "u9VfxMeNG4eLFy8alP33339WbyOxdetWODk5ITw8HPXq1YNcLsfu3buN6ul0OiiVSqsDY2JiIrp2\\\n",
       "7Qp/f394eXnB39+/2BVFz507V+YptURE9GRjICQiqsLu37+PrKwsg+f9RCIRtm3bhnPnzqFhw4aQ\\\n",
       "y+VwdXXFL7/8gg8//LDENq0JUebOkclkFrdliZCQEAQHBxuUDRkyBGvWrCn2vGvXruHMmTMmw5BG\\\n",
       "o8Hq1auNynU6HXJycizuoyAIGDZsmMG1NBoNevfujeXLl0Oj0UCn0yE1NRUvvvgiatWqhYiICNy9\\\n",
       "e9ei62g0GvTs2RPHjx9HRkYGsrKyoFKpij1Hq9Xi1KlTFt8TcYSQiOyHtLI7QERE5nl7ewN49Oza\\\n",
       "/PnzMWvWLACPvqw2adLEaJSrvAwZMgS//vqrUfmXX35ZrtcVi8W4efMmLl68iGvXrqFLly4lbnPR\\\n",
       "rl07HD9+HACgUCiQlZVl8IU9PT3d7KiZVGrdP4umVmwVBAGTJ0/G+vXr4eHhgd27dyM/P1/fh/r1\\\n",
       "62PVqlXo06cPBEFAcnIyrl69Cn9/f33Qf7ytSZMmGW0fUhqdOnVCRkaG/rnHJyG8zJw5s9x/GWFJ\\\n",
       "0HsSPlMisl8cISQiqgZ0Oh0WLFhQadP/fvnlF304LRQQEFDs82u2IhKJ0LhxY/Tp06fEMJiYmKgP\\\n",
       "gwCQk5OD77//3qBOcdM1FQqFVf1r27atyWM6nQ5xcXHYsmWLPgwWUiqViI6OhqenJ9zc3FC/fn30\\\n",
       "7t0b4eHhcHJyQpMmTXDmzBncvn0bAwYMwE8//WRx34BHz2HWr1+/VIvm0P/jCCER2QuOEBJVczdu\\\n",
       "3MDBgwdx69Yt5OXlwcfHBy1btkT79u3h6OhY2d0jGxIEodK+eIpEIqSlpSEhIQF//vknBgwYgNDQ\\\n",
       "0ErpS3GmTp1qVDZv3jxMmjRJ/97d3d3kuTKZzOT2HKWxc+dOuLi4WHyeIAgmp30KgoALFy4gIiIC\\\n",
       "EonEqi1CHnf79m14e3tj3bp1ZWrH3jDoEZE9YCAkqqbWrl2LJUuW4OTJk/Dz80NgYCCcnJzw4MED\\\n",
       "XLt2DY6Ojhg+fDhmzJiB2rVrV3Z3qYxEIhGSk5MruxsIDQ3FO++8U9ndMMvUAjRFA5e5aaHFLc5S\\\n",
       "EmdnZ3z++ed46623rG7DFJ1OZ7MVS3Nzc9G3b1+btGUPOGWUiOwFp4wSVUMtW7bE119/jTFjxuDW\\\n",
       "rVtISkpCfHw8Dh06hAsXLiArK0u/KXWrVq2wcePGyu4yWcnJyQkNGjTAgwcP4OnpWeb2dDodtm7d\\\n",
       "iv379z+Rm5ZPnDjRqKzoNNAHDx4Y1RGLxRavvFpUmzZtynQ+ERFRZeAIIVE19PHHH5vddgAA5HI5\\\n",
       "unTpgi5duuDDDz/EzZs3K65zZFN5eXk2a0upVEKhUOhH0aRSKc6cOYMmTZrY7BqVzdSzfEWnW77x\\\n",
       "xhtGdfz8/Ey2d+XKFWzduhVjx46Fl5dXsdeeMGGCBT21DbFYDEEQuLVEOeAIIRHZC44QElVDxYXB\\\n",
       "ory8vBAREVGOvaHqYvXq1QZTKjUaDaKiosxuZl8dPb4yZ6GiW0ns2bPHqE7NmjVNttexY0fMnDkT\\\n",
       "HTt2LPY5vszMTFy9etXC3pZMLDb/z7REIsGYMWPQqFEjm1+XuKgMEdkPBkKiJ0RqairOnTuHs2fP\\\n",
       "GryICr322mtGZbdu3cKwYcMqffqoVqu1SR9MjZTl5OTg4cOHEAQBV65cwf37943qREVFGZUdPnwY\\\n",
       "qamp0Gg0uHjxIpydnZGWlmZ0vffffx8eHh42/wy7d++OGTNm6LeLeJxYLEZWVhZ++uknnDt3Di1a\\\n",
       "tLDptYmBkIjsBwMhUTUXHx+Ppk2bIiAgAM2bN0d4eDhatmyp/18ioPgVSm/fvl3mVSzLYuXKlXBx\\\n",
       "cYFCocBff/1lsk52djYGDx6MVq1aYdOmTWbD18mTJ43KBEFAdHQ0Tp06hZ49e5o8r3///kZlRUfi\\\n",
       "NRoNfH19ERQUhAkTJqBhw4aQSCRYuHBhCXdoTCwWF7ui6ebNmxETE4MPP/zQ5DPAx44dg7OzM4BH\\\n",
       "weWff/6xuA9UPAZCIrIXDIRE1dy4ceMQFhaGI0eO4Pr167hx44bB/xIBj77cLlu2zOiLa/369bFr\\\n",
       "1y6TUy0rwr179zB27FgolUrk5+ejT58+GDNmjMFI348//gg3Nzf8/vvviI+Px6BBgyCTybBq1SqD\\\n",
       "ejqdDkOHDjV5nRMnTmDdunV4+PChyeNFp10KgmD2+c27d+/ip59+wuXLl616dm/ixIlQqVRQq9XI\\\n",
       "zMxE27ZtIRaLIRKJ4O7ujtTUVPTr108fNPr164fRo0fr3w8ZMgStW7c2aNPBwQGDBw82upa3tzei\\\n",
       "o6PRpk2bct/I/UnDQEhE9oKLyhBVc9evX8cff/yB+vXrV3ZXqIobN24coqOjkZiYCBcXF/j4+Jjd\\\n",
       "gqG0MjMzsW7dOly6dAmtW7fGs88+C09Pz1J/QTY11XHVqlXYu3cvRo4ciV9++QW3b982qqPVajFm\\\n",
       "zBi89tpreOONN5CWloadO3caTeks1KhRI0ycOBEikQhffPGFQZDz8vIyCsSFX/JtvViLg4MDli9f\\\n",
       "rv983NzccOzYMf3CMOaeGVy5ciU+//xzCIIAHx8fk3U2bNiA1NRUHDlyBDVq1EB8fLzRs5E6na7Y\\\n",
       "5xKri3nz5pX7NbioDBHZCwZComque/fu+PfffxkIqVScnJxK/LsiCAKysrLg7Oxs8vm1wjp169Y1\\\n",
       "uYKtVCpFy5YtMWXKFLRv316/R2ZRV69eRXp6usn279y5g48++qjE+8nJycGCBQuKrSOVSrF79264\\\n",
       "uLjg008/Ra9evdCnTx8olUrIZDKcOXPG5HldunTB3r17S+yDJdzc3EyGh9KED29v72KPi0Qi/XYi\\\n",
       "5kLfkxAGiYjIthgIiaq5//3vfxg9ejTOnTuHpk2bGn2B50bUZKnff/8do0ePhkQiwe+//270LJ0g\\\n",
       "CKhRowYyMjJMnq/RaPDPP/9g5MiR+jK5XI45c+Zg+vTpcHBwwOXLl9G8efPyvA29c+fOwcXFBcCj\\\n",
       "0NSzZ09kZWXhwoULqFWrltmgtXv37jKPoBalUqls2p4pDH22wRFCIrIXDIRE1dzRo0dx+PBh/P33\\\n",
       "30bHRCIRtFptJfSKqqvbt29jyJAh+ve9e/eGo6Mjrl+/Dj8/P6SlpaFWrVoWb1WhVCoxa9YszJo1\\\n",
       "y9ZdNkssFiMvL8/k85EymQzh4eHFni+RSJCbm4vGjRvj1q1bxdYNDAzE1atX4ejoiDt37qBOnTom\\\n",
       "p5tyv8Dqg4GQiOwFf41IVM29/vrrGDFiBJKSkqDT6QxeDIP0OLVajbt37xY7SmVqYZKCggIEBwej\\\n",
       "U6dOCA0NrRb7FopEIqSnp5d5sRxnZ2ccP34cdevWNVvn2WefRWJiIpycnCASiRAcHIwjR46YrNut\\\n",
       "W7cy9YcqDheVISJ7wUBIVM3dv38fb7zxBvz8/Cq7K1SFKZVK+Pv7Izg4GM7OzmZDobnn6TQaDU6c\\\n",
       "OGG0yXtV9d9//8HT07PM7eh0Ojg5OWHq1Kn6aaePe/3117Fjxw6j8nbt2kGhUBiVr1u3rsx9oorB\\\n",
       "QEhE9oJTRomquYEDB2Lfvn2oV69eZXeFqrBOnTrhwYMHAB6t0Ont7Y2srCyjesWN/rm6uqKgoMDs\\\n",
       "dgwVSSQSQSKRQKvVGk3D/Prrr9GkSROL2tPpdFCr1cjOzsbNmzcRHx+Pc+fOISsrC1KpFA8ePICv\\\n",
       "ry+SkpKg0Wjg4eGB2NjYYp+DTE9Ph5ubG1QqFUQiEX7//Xf93oGVITExEZs2bcLrr79eaX2oTjhl\\\n",
       "lIjsBQMhUTUXFhaGmTNn4tChQ2jWrJnRojJTpkyppJ6RLRw7dgxyuRw1atSAl5cXnJ2dLV40RKfT\\\n",
       "GW1cnp2djePHj6Nt27YG5eaecatRowbOnDmDpKQkPP3005U+HblFixZYvXo1cnJysHjxYpw4cQIu\\\n",
       "Li749ddfLVqsRqPRYP/+/ZgwYQLu3LljdsN7qVQKhUKBp556Cu+99x569+5d7MbywKOFdAoKCvDw\\\n",
       "4UO4ubnZfIGa0srNzYWnpyfUajUAMBASEZEBBkKiau5///sfFAoF4uLiEBcXZ3BMJBIxEFZz7du3\\\n",
       "N3gvEong6+uLY8eOoU6dOqVqIysry2TQ69GjB7Kzs/XvdTqdyXoikQh3796Fk5MTgoKCMHz4cKxe\\\n",
       "vdqyG7GxDh06oEmTJhCLxUafUWmpVCosXrwYs2bNKvG5SI1Gg6ysLDRr1gzPPvtsqUO5SCRCjRo1\\\n",
       "rOqfrdSqVUsfBqn0OEJIRPaCzxASVXM3btww+7p+/bpNrvHtt9+iTp06cHR0RNu2bXHixIli62/c\\\n",
       "uBENGzaEo6MjmjVrZvSMlSAImDNnDgICAuDk5IQePXogISHBqr4Vbuht7qVUKi1+FqgqvUzdb0pK\\\n",
       "CkJCQuDj44Pz589Do9EUu3qluc82JycHMTEx+vfbtm0zWW/58uUG+wh+8cUXpf3x6Lm6umL+/Pl4\\\n",
       "7733IJPJLD6/qE2bNlm9YqdOp0NBQQEOHz6MBQsWlHqRHJ1OB19f32q3rUNmZmZld6FaehKeITx7\\\n",
       "9myV7RsRVR3V6181Iiq1pKQkfPrpp2VuZ8OGDZg+fTrmzp2LU6dOoUWLFoiMjERqaqrJ+keOHEF0\\\n",
       "dDTGjx+P06dPo3///ujfvz/OnTunr/Ppp5/i66+/xvLly3H8+HG4uLggMjISBQUFZe6vPUlPT0fT\\\n",
       "pk0hl8vh6uqKjh074s6dO0b1fvjhB7Nt9OrVC82bN0e7du0wYMAAo+MikQjjx483KLN0sRaxWIxh\\\n",
       "w4Zh2rRpmDFjBpo1a1biOW5ubli4cCGaNm1q8nhSUhJOnjxZ6j5oNBokJSXh/PnzuH79OhISEvD9\\\n",
       "998jNze31G0AQL9+/SyqXxVU1lTV6u5JCIQVtdcnEVVvIoGbIhFVa+PGjTNZfuvWLZw4ccJgSqA1\\\n",
       "2rZti9atW2Pp0qUAHo2SBAUF4fXXX8e7775rVH/o0KHIzc3FX3/9pS9r164dwsPDsXz5cgiCgMDA\\\n",
       "QLz55pt46623ADwawfDz88PKlSsxbNiwUvUrKysLX375ZYn1VCoVFi1aVKo2nxQdOnTAzp074ezs\\\n",
       "jPv37yMoKAhKpdKqtgqfg3ucIAiQSCQWjdAFBgYiNjYWHh4eGDp0KA4cOFBs/c2bN6Nv374AgBdf\\\n",
       "fBHr1683quPk5IScnJxiR+zy8/MxdOhQxMbGQqvVwsPDA8899xwaNmyIZcuWlbi/4ONCQ0Nx6dKl\\\n",
       "ajdCuHjxYrzxxhv690/CP/vz5s0rsc4HH3yAzMxMuLm5WdR2ly5dEBcXhxkzZpR62xKlUolPPvkE\\\n",
       "nTt3xv79+y26XnkrDKtPws+diMpH9fpXjYiMPHz40OCVnp6OEydOYP/+/fj888/L1LZKpUJ8fDx6\\\n",
       "9OihLxOLxejRoweOHj1q8pyjR48a1AeAyMhIff0bN24gOTnZoI67uzvatm1rtk2yzOHDh+Hu7o4a\\\n",
       "NWogMDDQ6jAIPNq70NRCK6a+KDs4OCAiIgKdO3c2mhZ67949REVFYcOGDQCKf+ZKKpWiT58++pGX\\\n",
       "tWvXGi2WBDwKewsWLDDbTlJSElxdXbFt2zbk5eVBqVQiJSUF69evx9dff43ExESz5z5OJpNh5syZ\\\n",
       "uHjxYrULgwAwbdo0+Pj4VHY3qp0nYYTwcdWtv0RUcarfv2xEZODPP/80eG3duhXnzp3D/PnzsXnz\\\n",
       "5jK1nZ6eDq1Wa7THoZ+fH5KTk02ek5ycXGz9wv+1pE3g0W/gs7KyDF5knk6nQ2ZmZpk3kdfpdEaf\\\n",
       "tUgkMgoYzs7OmDNnDn7//Xd8+OGHJvfgS0xMxJkzZ1CzZs1iR15q1aplELzEYjFCQkJM1v3222/N\\\n",
       "tvPSSy+ZXA21oKAAqamppfpsRCIRevTogVmzZpW4qmhVtmvXLoYAO1X4PHWfPn0quytEVEUxEBI9\\\n",
       "oaKjo6vc1KWyWLRoEdzd3fWvoKCgyu6S3QgLCzOabrZp0yaEhYUhIiICFy9eRE5ODmbPno06derg\\\n",
       "6aefRkREhFE7KpUKgiBg0aJFOHfuHGbNmgVXV1eDOs7Ozrh8+bLRubt27TLZt7S0NFy6dMmoPD8/\\\n",
       "H9u3bzd5jiAIpV5108HBAcuWLTO5KX1RhXsZ5ufnIzs7G7m5uWa3sahoLVu2hEqlwv/+97/K7kq1\\\n",
       "Uh1HB831aeHChQYLbhERFWIgJHpC/fvvv2jZsmWZ2vD29oZEIkFKSopBeUpKCvz9/U2e4+/vX2z9\\\n",
       "wv+1pE0AmDlzJjIzM/UvU4unUPlIS0tDeHi4wWhbREQEzp8/j5MnT6Jhw4YGX0BFIpHZhWemTJmC\\\n",
       "2rVro169eli4cCGysrKgVquRkpKC9PR05OTkmFyFNDg42OwIXdu2bY2+4H744YfW3KoRlUqFTZs2\\\n",
       "FVtHEAQsXLgQ7u7ucHJygouLC9zc3KBQKCCTyTB9+vQq8QVcKpUaLRBE5lXnKaOFI+zOzs76shYt\\\n",
       "WlS5fhJR1cClx4iquenTpxuVpaSkYMuWLYiKijI4XppFWB4nk8kQERGB2NhY9O/fH8CjUZDY2Fi8\\\n",
       "9tprJs9p3749YmNjMW3aNH1ZTEyMfq+4kJAQ+Pv7IzY2FuHh4QAeLRBz/PhxvPLKK2b7IpfLS73A\\\n",
       "A9ne2bNn0apVKxw/fhwymQwikcjs6pWCIODQoUNG5U5OTmjRooVRuVQqha+vb7HXF4vF8PX1RVJS\\\n",
       "ktGxrKwsfPvtt3jppZcgl8uhVqst/rtenDfffBOdOnUyOeoJALNnz8ZHH31k8phWq8VXX32Fffv2\\\n",
       "4dSpU/xCXo1U530IC6ds5+fnQy6Xl+k5YiJ68jEQElVzp0+fNlneunVrpKam6reHsPYLy/Tp0zF6\\\n",
       "9Gi0atUKbdq0weLFi5Gbm4uxY8cCAEaNGoWaNWvqV/KcOnUqOnfujC+++AJRUVFYv349Tp48qd/6\\\n",
       "QCQSYdq0aVi4cCFCQ0MREhKC999/H4GBgfrQSVXTmTNn8Oabb2Lx4sXFPk93+vRpk8GtVatWZXoO\\\n",
       "z8PDw2S7APD6669j1qxZeO+997BmzRrk5+dbfZ2iBEFAmzZtkJOTY7AfI/Ao8H3yyScltnHmzBlE\\\n",
       "REQgPj6+yoUHMq06B8KsrCw8/fTTAB6NcgOPfiFjy/8uiOjJwUBIVM3t27evXNsfOnQo0tLSMGfO\\\n",
       "HCQnJyM8PBw7d+7ULwpz+/ZtgwVAnn76afz666+YPXs23nvvPYSGhmLz5s0G+8m98847yM3NxcSJ\\\n",
       "E5GRkYFnnnkGO3fuhKOjo8X9K+mLmFwurxLT9axV1b5oLlu2DB07dkTfvn3h4OCg759IJIJKpcLG\\\n",
       "jRsxduxYk595WQK/Vqs1mmZcVFZWlsmtUGxBp9OhVatWOH/+vEF5QkKCyYVrTDl9+jTq16+Pq1ev\\\n",
       "VrmfKxmrzoEQgNGqzQyDRGQOAyERlei1114zO0XU1MI1gwcPxuDBg822JxKJMH/+fMyfP99WXXxi\\\n",
       "HT9+HGvXrsXSpUurxAIlOp0Ow4cP1z/vmZ2dDa1WC51OB6VSWWw4Km4V2cdptVoIggCxWAyxWAyd\\\n",
       "Tof4+HhkZGTY4hasduHCBWi1WoNRzrVr11rUxvXr11GzZk0kJiZWyRBB/6+6BkJBEPT9CQ0NRUJC\\\n",
       "QpXqHxFVPVxUhqga6t27N44dO1ZivezsbHzyySfFLs1PVVubNm2wZMkSpKenV5k98DQaDe7evYu7\\\n",
       "d+8iMzMTOTk5yMvLK3Gk7Pvvvy+2jlarxcKFCxEUFAR/f3907NgRS5cuxbfffosBAwZUiUBcdIr2\\\n",
       "3bt3LW4jKSkJPj4+1Xrkmqq2wpVEr1y5gt9++01fvnv37krsFRFVVRwhJKqGBg8ejEGDBsHd3R19\\\n",
       "+vRBq1atEBgYCEdHRzx8+BAXLlzAoUOHsGPHDkRFReGzzz6r7C5TGXl6emLBggWYNWtWZXfFapmZ\\\n",
       "mRg+fDjWr19vdEwQBEyZMgXfffedPigdOXIEx48fh1gsLvU2EeXtnXfewd69e/Xve/fujZUrV1rc\\\n",
       "zv379+Hn54eUlBSO3lRR1XWEsKjBgwfzlw9EVKyq8etmIrLI+PHjcf36dbz33nu4cOECJk6ciI4d\\\n",
       "O6J169aIjIzEjz/+iODgYPzzzz/YsGEDgoODK7vLZAPvvPNOlf7iWRobNmzApEmTjL6gpqenY8WK\\\n",
       "FUblWq22yoRB4FFIfVy/fv2sbistLY3bQFRh1XnbCSIiSzAQElVTcrkcI0aMwLZt2/Dw4UM8fPgQ\\\n",
       "9+7dQ0FBAf777z98/vnnaNSoUWV3k2xIKpXqt+8wdczcNhAA4OjoiN69e6NmzZrl1b1S+/7779G3\\\n",
       "b1990NNqtfj6669RUFBQyT0rmVKp1K/aCDz6XItbDEkkEsHJyclsYFi1alWVmApLxhgIicheMBAS\\\n",
       "PSHc3d3h7+8PBweHyu4KlaOiWz6IRCJ069YNFy9exPXr1zFp0iSjYFinTh1cvHgRW7ZsQUxMDNzc\\\n",
       "3PTHxGIxQkJCEBoaWqFfav/66y/UrVsXmzdvxpo1a7BkyZIKu3ZJ5HI5Xn31VTz77LMmj0+YMMHg\\\n",
       "fc+ePc22JZVKMW3aNLRp08bkcZ1Oh8zMTOs7S+WGgZCI7AWfISQiqsKWLl2K0NBQNG/eHM7OzpDL\\\n",
       "5Wjbti3++ecfaLVauLi4oGfPnvD29oazszM++eQTvPzyy7h58yZCQkLQsGFDyOVyfXuBgYEIDAyE\\\n",
       "SqXCxx9/jKlTp+qPZWZmwsPDo8Lu7e7duxgwYECFXa+QVCpFYGAgsrOzkZGRYTBN9bnnnsP27dv1\\\n",
       "73NycuDm5mZQZ82aNdi/fz/Onz+vXwHVHLVabfBcpCnbt2/HiBEjSt3//Px8XLt2DR4eHggICND/\\\n",
       "gkCr1eLy5cvIzc1FRERElVmEqLoq72cIPTw8TP4ygM/7EVFF478WRERV2Ouvv66f6tmiRQt8/fXX\\\n",
       "+imLOp0O2dnZmD17NsLCwhAZGYmPPvoIeXl5iIyMRIsWLQzCoCAI+P7773HlyhWoVCr4+PgYXMvV\\\n",
       "1fWJDxE9evRAfn4+bt26hQcPHiAjIwPt2rWDo6MjGjZsiM2bNxvUVygUOHfunFE7d+7cgbu7OwID\\\n",
       "A5GUlFTsNTMyMoodBbRk0adPP/0U7u7uaN68OerUqYPw8HD89ddfiIuLw3PPPYeWLVuiU6dOXE2y\\\n",
       "imvZsqXB34nC/045w4OIKgNHCImIqgFBEHDr1i1s2bIFwKOtHwpptVqkpaVh//79iIuLw99//43j\\\n",
       "x48btZGVlYVZs2bpn1kbO3YsBg0apP8yevXqVaueZxOJRHBxcYGDgwOys7MN+mZr7u7ucHV1RVpa\\\n",
       "GpRKpUXnhoeHY/fu3QajOW5ubjh69ChycnLg4OBg8gt548aN0a9fP/1nX0gQBOTl5Vl3I4+5cOEC\\\n",
       "UlNT4evra7aOIAiIiorC33//rS/TarU4d+4c+vXrB6lUCrVarR9d+vnnn9G7d2+TbT0J0xtnzpwJ\\\n",
       "mUxWrtcozxHCM2fOAOBoIBFVDU/2r4KJiJ4wWVlZyMrKMvtFUhAE/Pfff7hx44bRsYEDBxqENZVK\\\n",
       "BRcXF0yYMAGjR4+2ahEiiUSCF154Ad999x2io6Ph7u5eboHD0dERS5cuxcmTJ3H27FmMGjUKLi4u\\\n",
       "JV5PJBLBx8cHBw8eNFtXoVAYjKYWtXnz5mKPl4VGo8FTTz2Fb7/9FqdPn8bt27eRmZkJlUoFlUqF\\\n",
       "8+fPo0aNGgZh8HE6nQ4qlcrg74S5sMwAUnoV8Qwhn0MkoqqAI4RE1dzo0aMxfvx4dOrUqbK7QhVA\\\n",
       "q9WW+KVeEAQ8//zzuHLliv75sri4OIP98x5v76effrKqLyKRCCtXrsTQoUMhEonQpUsXpKWlYefO\\\n",
       "ncjPzy9VXy0xYMAADBkyBDKZDH5+fli5ciV+/vlnaLVaaLVaaDQa3L9/Xx+oUlJScOrUKdy/fx/T\\\n",
       "pk2DQqEo0/UTExPh7e1t8phEIoEgCFavGHrv3j289tprZemegdzcXAiCoA8ZgiDg4MGDiI6Ottk1\\\n",
       "nnTWjBDGx8ejS5cu+vLOnTtj3rx5Fl2ToZ2IKhoDIVE1l5mZiR49eqB27doYO3YsRo8eXSW2FqDy\\\n",
       "odPpSvWF8fr162jWrBnef/99rFmzBjt37rR5XwYPHozhw4frvwzXrFkTS5YswR9//IGCggI0btwY\\\n",
       "MpkMu3fvxk8//YQHDx6U2KZUKoW7uztUKhXy8vKg0+kgkUgQGRmJFStWGEwTLPzCLhaL9VM9FQoF\\\n",
       "ateura8zbtw45OXl2eTZLC8vL/Tp0wfbtm0zKHd1dcXy5cvRvn17KJVKnDt3Dps3b8bff/9dqnsW\\\n",
       "i8U233rixIkTyMvLg4uLC4BHgbNv375c0dQC1gTCnJwcxMXF6cvj4uKKDYSP/7fMEUIiqiwMhETV\\\n",
       "3ObNm5GWloY1a9Zg1apVmDt3Lnr06IHx48ejX79+XKTgCWPJ6MGlS5cwduxYo+mEtjJ37lyDL7Ei\\\n",
       "kQi+vr4YOnQoHBwcoFAoIBaL0aVLF7z88svo06cPLl68aLY9Nzc3fPTRR3j22WeRl5eH3bt3Y//+\\\n",
       "/ahduzbee++9Yvf7M6dwH0Bb3f/SpUvx119/GbTXrl079OvXD87OzhCJRGjQoAH69++P27dvo0OH\\\n",
       "DkhOTjbbnlwuh0KhwMOHD20aCnNycnD27Fm0a9cOgiAgJSXFYP9EKpk1gVChUCAiIkJf3rlz53Lp\\\n",
       "GxGRLfEZQqIngI+PD6ZPn45///0Xx48fR/369TFy5EgEBgbijTfeQEJCQmV3kSqBIAhQKpVWhyGR\\\n",
       "SISwsDA0atTIYO9DAHjxxRfRuHFjo3MkEgl8fHzg4eEBqVQKsVgMqVSKevXq4cKFC0hJSTHa2sLf\\\n",
       "3x83btxAZmYmJk+ejLp166Jp06aYPn06tm7dim+++QYBAQFW3QMAi1ZOzcrKQmJiotnPLDg4GFu2\\\n",
       "bIFMJoNYLEaTJk2wefNmg2cZRSIRpFIp6tati3v37pl9NrNHjx548OABEhMTLZpWWBo6nQ5du3bF\\\n",
       "/v37kZubC1dXVzRr1szo50i2FRERgf379+tftv65EhGVBwZCoidIUlISYmJiEBMTA4lEgueeew7/\\\n",
       "/fcfGjdujK+++qqyu0fViKOjI3JycnD58mVcuHABKpUKe/fuRXR0NHbt2oVffvnFqnZ9fX3x8OFD\\\n",
       "5OTkICUlBWq1GklJSahTp45tb+AxgiAgNze3xBG4Bw8ewM/PD7Vq1YKTkxMuXbpksl6fPn2QlJSE\\\n",
       "f//9F6dPn4azs7PZNkUiEc6dO2c0ujl+/HjExMTo95acPXs2/v77b5tOG1QqlRgyZAiysrIQEhKC\\\n",
       "uLg4nD9/3mbtP+kqalEZmUzG6aJEVKkYCImqObVajT/++APPP/88ateujY0bN2LatGm4d+8eVq1a\\\n",
       "hT179uC3337D/PnzK7urVE0EBQUhJyfHIOiIxWJ07doVv/76K3r16lXmL7AuLi7w9fWFVFr+Ty5o\\\n",
       "NBp8/vnniImJKbZe586dUVBQAOBRmGrUqJHZkcIaNWqgadOmpZqSLRaLkZGRgXr16kGhUGDt2rX4\\\n",
       "3//+Z1Svd+/eyMvLQ3h4uM0CwoMHD+Ds7AypVApHR0c0aNDAJu3ag/IMhI//vVKr1SbLiYgqCp8h\\\n",
       "JKrmAgICoNPpEB0djRMnTiA8PNyoTteuXY2m6REVat26NeLi4uDk5FTZXSkXP/74IxYsWADg0Qhl\\\n",
       "cnKy0Rd4QRBw5coVo3MdHBygUqksmnZqilwux9WrV0us5+joiNOnT+v7VFBQgJ9//hlTpkyBVqu1\\\n",
       "+Lqurq7w9PS0+Dx6pDxH7hj+iKiq4AghUTX31Vdf4d69e/j2229NhkEA8PDwMLkvHZFEIsHhw4ef\\\n",
       "2DAIAJs2bdL/OTU11eQomUgkMlgMpJBWq8XPP/9sUJaXl4e4uDhcu3bN9p0t0icnJye8+uqr2L17\\\n",
       "t1VtmNu7kEpWEVNGiYiqAgZCompu5MiRVq2+SAQAMpnsiV+Jtl69egbvExISsH37dqN6+/btg4+P\\\n",
       "j1F5TEwM8vLyoFKpsH//fgQGBqJr164IDQ1FkyZNoNFoyq3vhbp06QK5XG7ROZGRkWjfvr1RuSAI\\\n",
       "1f4ll8vLPaAxEBKRvWAgJCKqwgYMGGB2M3RbUCqVVk1FtJQgCNBoNDadJicIAhYtWoROnTrhxo0b\\\n",
       "ZheN+eijj4zKhg8fbtQXuVyOlJQUHDx4UP+838CBA/Hhhx9CEARcvXoVI0aMQGZmpj6YXLhwAXK5\\\n",
       "HBcuXLDZfZkiFosRFBRk8piTkxMaN26M+vXrw8fHBw0aNMA///xTLntP2hMGQiKyFwyERERV2KZN\\\n",
       "m5CWloYDBw6US/s6nQ7nzp0rto5SqUT37t1Rt25dnD171mQdtVqNKVOmoHXr1vj555/1210ULugi\\\n",
       "l8vh4OAAmUyG9957zyCECoKAPXv2wN/fH46Ojqhbty5SU1NL7Puzzz6L9957Tx/g6tata7Kel5eX\\\n",
       "wWb1AJCfn29yZE8kEuGZZ57B1atXkZ2djT/++AP16tWDi4sLAgICDBYAKaTT6dCkSROEhYWZPG4r\\\n",
       "L7zwgsF7qVSK//77D3l5eTh//jwSEhKQmpqKS5cuoVWrVuXWDyIierIwEBIRVQMdO3bEt99+Wy5t\\\n",
       "9+vXz+wxnU4HNzc37N27Fzdu3ECLFi1w6NAhgzparRYuLi745ptvcPLkSYwbNw6Ojo5wdnaGs7Mz\\\n",
       "3n77bX1Q0mg0WLRoERwdHdG+fXt07twZcrkcPXv2REpKCpRKJW7cuIHAwEDk5+eb7ZcgCAbP1QmC\\\n",
       "gFu3bpndfP3KlSsGUy7d3NxK9dk8ztPTExMmTDB7PCEhATKZDA0aNEBCQgKUSiXUajUKCgqQm5tb\\\n",
       "5rA4Y8YM+Pr6QiaToVu3bigoKEDTpk3L1CaZxxFCIrIXDIRERNXEq6++CplMZvN2b9++jezsbJPH\\\n",
       "Vq1aZRSyunXrZvD+3XffNRl2CgoKzIYgjUaDY8eO4cCBAybraLVadOjQwWyfCwoKjKZ8ikQis6uB\\\n",
       "ymQy3Lx5E/7+/nBxccHIkSOt2qR97ty5JT6ze+XKFYSFhcHR0REymQxOTk5QKBSQy+VwdXXFhg0b\\\n",
       "StwT0RQPDw8kJiYiNzcXsbGx3GS+nDEQEpG9YCAkIqpG5s2bZ/M2BUHAu+++a/LY1KlTjcrUarXB\\\n",
       "dMuVK1favE8AcObMGbPPHJoKsPXr1y92X0N/f3/8999/WLFiBaZNm2bVl3iZTIYVK1ZYfB7w6HPO\\\n",
       "ycnBsGHDEBAQgLS0NIvbkEqlFbJ3IzEQEpH9YCAkIqpGxo4dWy7t/vjjj0bhS6fTmR05fLyuuWma\\\n",
       "wKMAY+0efoX78Jly9+5dgy/hb775Jv77778S2/T29sbAgQNRs2ZNq7/EDx06tMyjc6mpqWjZsqXZ\\\n",
       "+7OFnJwc3Lp1C3fu3EF6ejru379fqmcz6REGQiKyFwyERETVSHmNDqnVav2G6IWKe2bx8X6Yex4v\\\n",
       "KCgI6enpyMzMRHR0tEEwlEgkiIqKwrFjx/Drr79CoVAYnS8SiUxOJxUEAWvWrIFEIoFEIsG4ceP0\\\n",
       "C9eUhlQqLVOgE4vFcHZ2tvp84NG95efnIysrq0ztmPLNN9/AwcEBrq6uqFOnDoKDg+Hj4wNvb2/4\\\n",
       "+fnZ/HpPKgZCIrIXDIRERNVIRkZGubX9zjvvGLz/8MMPTdYr+gXYXCD8+uuv4e7uDoVCgRUrViAy\\\n",
       "MhJyuRyOjo544YUXsH79erRp0wbDhg3D0aNHjQKds7OzyT0SHzx4gLi4OEilUvj5+ZncVqK8lWX7\\\n",
       "DJFIBJlMhvDwcLi6utqwV8Dhw4fxxhtvVMjeiERE9GTggwhERNXIW2+9VW5tx8bGIioqCrNmzcK4\\\n",
       "ceOQkpJisl7RUcoaNWoY1ZFIJAarlzo6OmLHjh36xVSKTiNt2rQpCgoKcPv2bXz33XcIDg5GdHS0\\\n",
       "fgEXnU6HxMRETJgwQb8QjUKhwF9//VXmUS+dToeMjAxotVp4e3uXONqjVquRm5tr1bXq16+PH374\\\n",
       "AS1atIC7u7tNF4Z57rnn8Pfff9usPXtnycgfRwiJqDpjICQiqsIKA5RKpcL27duxY8eOcr3ejh07\\\n",
       "SryGl5eXwfukpCSjOj4+Pia/JJf0PGFwcDAWLVpkUKbRaDBgwAD89ddfBuWOjo5o3rx5se2Vxq1b\\\n",
       "t9C8eXPk5ubC2dkZZ86cQf369c3Wb9y4sVUjhE5OToiPj7doywudTofFixcjPj4e33zzjcnwDQA9\\\n",
       "evRAbGysxX0i8xgIicheMBASEVVhj4/GiUSiMk1VtJWXXnrJ4P3du3eN6jRp0sRm18vIyMD27duN\\\n",
       "yj09PW0ywjZjxgzk5OQAAHJzcxEaGoojR46gffv2RnX79u2Lq1evWnUdZ2dni6aICoKAgIAA/UIw\\\n",
       "v/76K7788ku88cYbBvXGjRvHMFgOGAiJyF7wGUIioipMEAT9S6fTQSQSlbgPXnl777339H/W6XRQ\\\n",
       "KpVGdbp27Wqz6929e9dkELbF6CAAgw3uC3Xt2tXomqmpqdi2bZvV18nMzCz1s32CICAoKMhoVdDp\\\n",
       "06cjLCwMSUlJSElJQVhYGH7++Wer+0TmcVEZIrIXDIRERNVIzZo1cenSJWzZsqVSvoQuWrTIIJDm\\\n",
       "5+ebrPfiiy/a7JrmNrcfNWqUTdovHB0ses2igTAzM9Pk+VKpFKNGjcLbb79d7EqnGo0Gv//+e4n9\\\n",
       "ycvLg6enJxITE00eT0hIQGBgIPz9/ZGQkFBie2QdBkIishcMhERE1cjHH3+M2rVro2/fvnj77bdL\\\n",
       "dY6Pjw9mzJiB3bt3Y/v27Rg5cqRV127btq3ZDewfJ5FIULt2bauuYYq55/k6dOhg9hxBEPDFF18g\\\n",
       "LCys2BCm1Wqh1WqNyr28vIyedwwNDUXTpk3176VSKdatWwe1Wo1Vq1bh008/RW5uLmQymdnrjRo1\\\n",
       "ymiKrVarRUpKChYvXgxfX1+4uLiYDZ9ERES2xkBIRFSN1KlTR//nOXPmFFt35syZEAQBqamp+Pjj\\\n",
       "j9GzZ08899xzWL16NQRBsGhFSgcHBxw7dsyo3MXFBZ06dQLwaESlffv2UKlURmGqLM8+enp6GoUs\\\n",
       "kUhkcu9C4NE0VkdHR7z11ltISEjA4MGD8fXXX5usGx4eblQmEomQnJxssv5///2nn8KrVqsxbNgw\\\n",
       "g+MSiQSzZ882ey8ajQZBQUEGI0tSqRT+/v544403kJaWZvZcqlgcISQie8FASERUjcydO1f/5wcP\\\n",
       "HpitJ5VKze4jWKh379748ccfS3Xd4hZviYmJwd69e5GcnIwjR44YhEG1Wo2wsDA4OTlh7NixVgfD\\\n",
       "5557zqjM3J6MHTp0gEqlMih77733jK597NgxnDt3zuj8oUOHlrgaanGWLFli9bmWEovFCA0NxaBB\\\n",
       "g9CkSZNiRyfJMgyERGQvGAiJiKqRffv2IT09HRqNBjNnzjRb76mnnirVl9QJEyZgwYIFJdYrKCgw\\\n",
       "uyCKTCZD165d4evra3Tsww8/REJCApRKJVauXGn16qMdO3Y0eC8IAiIiIoyeYVy7dq3Jkczc3Fxs\\\n",
       "2rRJP7q3ceNGk6uIAsCqVaus6iMAPPvss7h//77V51tCJpMhLy8PV65cwe+//45z585BqVQiISEB\\\n",
       "Li4uFdKHJxkDIRHZC247QURUjWi1WkREROCFF17Axo0bzdYbNGhQqducPXs2QkJCMHLkyGJH8CIi\\\n",
       "IvDvv/9a1N+YmBiD9xcvXsThw4eLff7PFFMrad6+fRsKhQL169dH/fr1cevWLVy4cMFsG4MHD4aP\\\n",
       "jw+ys7PNLoajUCisGmW7desW6tevX+pVRG0hISHB5CI29evXx5kzZxAWFlYltimprrjtBBHZC44Q\\\n",
       "EhFVM7dv38aSJUuMpkU+ztPT06I2hw8fjgsXLhQbhs6ePYtu3brpF2ERBAEFBQUoKCgwe85rr71m\\\n",
       "VPbOO+9Y1LeMjAyTUzuBR88LXrlyBTt27MD58+eLDUCFz1OaC4NA8QvVmDNu3DjUqVOnQsOgRCJB\\\n",
       "cHCw2eP16tUz2MOSrMPRQSKyBwyERETVkKmVMR934sQJi9ts2LAhfvnll2K/4O7btw8ODg7w8PCA\\\n",
       "h4cHatSoga5du5rdGmLYsGFGwaRGjRql7pNWqzU5FbW8mNrzsKCgAA8fPjQZ+MaMGVMp+wAWLuRj\\\n",
       "jkgkgoODQwX1hoiIqjMGQiKiJ9Aff/xh8TmCIKBmzZolBglBEJCZmYmsrCzk5+fjxIkTZp+bE4lE\\\n",
       "yM7OhrOzM4BHq5X+9NNPpe6Pq6ur2bBZHi5cuIAJEybg8uXL2LJlCxwcHODk5IQaNWrAwcEBgYGB\\\n",
       "iI+Px/3797FgwYIyPW9oLZFIhC1btpRYjyOEZcNnCInIXvBfCyKiJ9DDhw+RkZEBDw+PUtXPy8vD\\\n",
       "Rx99hGXLllkcwEQiEVxdXc0ed3R0RE5ODtLS0uDi4lLqBU8CAgKKnd5ZlEQiQffu3XHq1Cmkp6eX\\\n",
       "+rzHCYKAFStWYMWKFSaPJyUloV27dmjcuDHu3btn1TUsJRKJ4OTkBACQy+X49ddfi/28Hz+PrMdn\\\n",
       "CInIXnCEkIjoCfX4noXFGTt2LBQKBT788EM8fPjQ4oVIxo0bV2LIE4lE+k3XS+Pq1atISUkpdR+c\\\n",
       "nJzw6aefYseOHbhy5Uq5br+g0+nQpEkTTJkyxaLpr9aSSqWYOnUqTp06hTt37qB3796lOq8iR1af\\\n",
       "RBwhJCJ7wUBIRPSEyszMxOjRo4utM2jQIKxcudKq1ShlMhm2bNmCH374wdoumjVixAiL6s+fPx9T\\\n",
       "pkyBRCKBp6cn1q5da7aui4tLmfYZnD9/Pn755Re8//77SE9Px+XLl9GhQwd4enrCy8sLoaGhqFWr\\\n",
       "VrF7N1pCrVbj5MmTcHNz048UlqRwwR+yHgMhEdkLBkIioifY6tWrcfjwYZPHNBoNNm3aZHGbIpEI\\\n",
       "b731FvLy8tC3b9+ydtGIIAi4dOmSRecMGTLE4Jm5QYMGGW3JIBaLce/ePWRnZ+PKlSsW90sqleLa\\\n",
       "tWuYNWuWPlCKRCKEhYXh0KFDePDgAdLT03HlyhXcuXMHmZmZ8Pb2tvg6psTExKBdu3Y4fPgwdDpd\\\n",
       "ifUPHDhQqnpkHgMhEdkLBkIioifcM888g8TERKPy//77z+K2RCIR1qxZg88++8yiETCdTofs7Gw8\\\n",
       "fPiwxKmMv//+O/Ly8iASieDo6IhvvvkGGRkZSE5ORuPGjU2eU/SZQZFIZLCwjlgsRkZGBgICAiAS\\\n",
       "iVCvXj34+/uXqu9yuRx//vkn1Go16tatW6pzgEcjkefOnbPZSOHt27fRqVMnBAUFFTudNjU1FV27\\\n",
       "drXJNe0ZAyER2QsGQiIiO1CrVi2jTeVnzpxpVTtDhw41e1wQBKhUKqSnp2Pfvn0YNGgQXF1dIZVK\\\n",
       "4ebmhho1akAmk8HR0REDBgzApUuXkJubi6ysLOzcuRP+/v4YOnQoNBoNPD09kZycjNdeew3u7u7w\\\n",
       "8/NDfHy8yemeo0aNwsOHDw3KevbsidatWyMwMBC3bt0yWohlzpw5xd5raGgoVCoVCgoK0L9//9J/\\\n",
       "SI/x8/PD4MGDbRoY7t27B39/f7i5ueGjjz5CQkIC7t69i127dqF+/frw8/MrdgqwpUGnKr6USiUE\\\n",
       "QSj2RUREpcNASERkJ8LDwxEeHo60tDRs27YNe/bsMVlPJBKZDF0ikQht2rQxeSw7OxvR0dFwcnKC\\\n",
       "XC6Hj48PunXrhk2bNiEnJ8foC7pSqcTmzZvRqFEjKBQKuLu749lnn0VKSor+C31AQADc3d0NzpPL\\\n",
       "5Sa3xTh//jzCwsKgUqkMrjFx4kRs2rQJtWrVMjrn+eefNwpqYrEYM2fOhFarxZUrV2yyl9+yZcsQ\\\n",
       "FhZm820gsrOzMWvWLISFhSEoKAi9e/fGtWvXbHoNe8YRQiKyF9x2gojIjvz777/FbvTu7OyMBg0a\\\n",
       "wMXFBQkJCbh//z60Wi2AR2GsdevW0Gq1+lCYnZ2Nnj174sSJEzYflTE1zTU/P98g9D0uPT0d7u7u\\\n",
       "GDJkCDw8PLB//35kZ2dj2rRpaNOmjdGXdp1Oh9DQUCQlJaFBgwbYsGGDRVNCS8vT0xN79uzB22+/\\\n",
       "jS1btli0lQZVHm47QUT2goGQiIj0pFIpmjRpgqioKLi5ueHatWs4deoU8vPz8cwzz6Bfv37QarUo\\\n",
       "KCjAkiVL8MEHH+gDo61lZGTgzp07CAoKAvAowHXq1KnY4FlQUIDVq1cblE2bNg3bt2/HunXr4Obm\\\n",
       "hvz8fOzduxe//fYbhgwZgjfffLPU+zVaq1atWvjpp5+Ql5eHrVu3luu1yDYYCInIXjAQEhFVQzKZ\\\n",
       "DBqNxuYrSWZlZWHTpk1o27Yt+vXrh2effdboy65Wq8WBAwfKNQwWCgkJwbhx41C7dm189tlnyMzM\\\n",
       "tLgNQRCwe/dueHl5GZSLRCL06tXLaFpqeXF2dsYXX3yBbdu28Rm3aoCBkIjsBZ8hJCKqZqRSKSIi\\\n",
       "IowCjq3k5eXhp59+glwuN/lFVyKRQCaTlXsYBB6Fzx9//BGzZ8+2KgwWRxAExMbGVuj2DLVr1y7T\\\n",
       "HojFKdzAvnDbi+3btyM8PLzcrvek4zOERGQv+K8EEVE1o9FocPbsWWRkZBgdk0qlNtnm4MKFC8V+\\\n",
       "yW3VqtUT8SVYo9FgzZo1Nm0zPz8fAwcORM+ePXH37l2DYyKRqFxGB9944w2oVCosXrwYoaGhqFWr\\\n",
       "Fp577jmcPn0aarUaMTEx8PHxYTgkIiIj/JeBiKgays3NNdrPz83NDS+++CLCwsLK3H5JewUqFIpi\\\n",
       "F6epTsaPHw+lUmmTtgRBgJ+fH/7880/s2bMHQUFBmDx5MnQ6HQRBwL///mvTEUkXFxfcvXsXX375\\\n",
       "pdmALhaL0aNHD6Smppb4c6X/xxFCIrIXDIRERE+IoKAgDB06FPXr1y9zW4IgQKPRFFvnl19+Mbs9\\\n",
       "RXWi0+ng6uqKs2fPQqVSITExET179oSnpydu3bplUVsajQbZ2dkGZcuWLYObmxv69euHTp06lamv\\\n",
       "jo6OePHFF3HixAnk5+cjJycHNWvWLPX5HCEsPQZCIrIXXFSGiOgJkZiYiKNHj+LcuXM2aW/Dhg0Y\\\n",
       "MWKE2eMRERGIiorCsWPH4ODggJYtW+L555+HQqHAhg0bsHv3brNbRFQ1arUaLVq0MCoPDQ2FUqks\\\n",
       "9Rd+qVRqclpobm4utm3bVqY+btiwAUOGDClTG1R6XFSGiOwFf1VIRPSEyMjIwGeffYabN2/apL3R\\\n",
       "o0fjzp07RuVarRbp6ek4ceIEnn/+efzxxx+4ePEitm7dikmTJmHEiBHYvHkzzp8/j2effRYuLi6Q\\\n",
       "SCTVciRFrVYjKSmp1PVFIhHq1atn8340adLEZmFQEIRq/ypc8Kg8R+w4QkhE9oKBkIhMUqvVmDFj\\\n",
       "Bpo1awYXFxcEBgZi1KhRuHfvXonnfvvtt6hTpw4cHR3Rtm1bnDhxwuB4QUEBJk+eDC8vLygUCgwa\\\n",
       "NAgpKSnldSvVWvPmzeHm5lbq+kql0maLluh0OgQHB0Mul8Pd3R3Ozs5wcHCATCaDn58f+vXrh9Wr\\\n",
       "V6N+/fpwc3MzmI4okUhQv3597NixA9nZ2VAqlVCr1dBoNFCr1bh586Z+f8Gq7uOPP7aovq1GaB/3\\\n",
       "1Vdf2bxNKh4DIRHZCwZCIjIpLy8Pp06dwvvvv49Tp05h06ZNuHz5Mvr27VvseRs2bMD06dMxd+5c\\\n",
       "nDp1Ci1atEBkZCRSU1P1dd544w1s27YNGzduRFxcHO7du4eBAweW9y1VS//++y8yMzORnp4OqbRy\\\n",
       "ZvmrVCpkZWUhPz9fv/ehTqeDUqnE0aNHceHChWLPF4lEkEgkkEgkEIvFkEqlqF27Nm7dugUfHx+T\\\n",
       "5xTWqwqKbnRfErlcjt69e9u0D2WdbkpERGQOAyERmeTu7o6YmBgMGTIEDRo0QLt27bB06VLEx8fj\\\n",
       "9u3bZs/78ssv8dJLL2Hs2LFo3Lgxli9fDmdnZ6xYsQIAkJmZiZ9++glffvklunXrhoiICPz88884\\\n",
       "cuQIjh07VlG3V+14eXnhnXfeqexuGNHpdNi1a5dV54pEIkycONHkMbFYDE9PzyqxCEpubq7Fo65f\\\n",
       "fPGFTfvw22+/lel8nU6H69ev488//7RRj558HCEkIntR+f/SElG1kZmZCZFIBA8PD5PHVSoV4uPj\\\n",
       "0aNHD31Z4ZL3R48eBQDEx8dDrVYb1GnYsCGCg4P1dci0Dz/8EF26dKnsbhj55ptvrN5KYc6cOSbL\\\n",
       "xWIxPvjgA8ydO9fsSqYjR47EiRMnMGvWLJvsvWiORqNBcnKyRec0atTIpiEhJSUFjRo1glartfjc\\\n",
       "d999FxKJBPXq1eNIvAUYCInIXjAQElGpFBQUYMaMGYiOjjb7TFt6ejq0Wi38/PwMyv38/PRfqJOT\\\n",
       "kyGTyYxC5eN1TFEqlcjKyjJ42aN9+/bhu+++q+xuGCgoKECzZs2sOlcmk8HZ2dmoXBAEvPTSS5gz\\\n",
       "Zw7y8vIgk8kMjsfFxWH16tVo3bo1Fi5cCI1GA61WCwcHB6v6UZK6detaPEpo65Bw6dIlSKVSyGQy\\\n",
       "5Ofnl+ochUKBTz75xKb9sCcMg0RkDxgIiQgAsHbtWigUCv3r4MGD+mNqtRpDhgyBIAiVFkYWLVoE\\\n",
       "d3d3/au6LEhSHiZNmoSXXnqpsrth4MKFC7h48aJV5/bp08eoTBAE/TOEcrkczz//vMHxhg0bGp0j\\\n",
       "FosRFxdnVR9KUlBQgFOnTpW6/ubNm226Af3j1Go1AgICSgyo8+bNQ25ubrn0wR5U5AghwyURVSYG\\\n",
       "QiICAPTt2xdnzpzRv1q1agXg/8PgrVu3EBMTU+yKl97e3pBIJEYrhqakpMDf3x8A4O/vD5VKhYyM\\\n",
       "DLN1TJk5cyYyMzP1L1PbIdiTH374AXfu3MFzzz1nNHpWWZo2bWo2BKWlpWH9+vUmA8rs2bONyoq2\\\n",
       "4+7ubtSeKe3atSttdy3Wrl27YkOYVqvF9evX0aJFi3KfmpmdnW1yOwxBEKBUKvHKK6/ggw8+KNc+\\\n",
       "POkqKhAyBBJRZWMgJCIAgKurK+rXr69/OTk56cNgQkIC9uzZAy8vr2LbkMlkiIiIQGxsrL5Mp9Mh\\\n",
       "NjYW7du3B/BoM3MHBweDOpcvX8bt27f1dUyRy+Vwc3MzeNm7WrVqYfv27cjPz68S2xLodDo0adLE\\\n",
       "qDwjIwMBAQGIjo6Gq6srvvnmG4Pjvr6+JtsqnBYpCAL++OMPg+M///yzyT6IRCIoFAqT5SEhIWjf\\\n",
       "vr3VAVqj0ZicOhofHw83NzdIpVLUq1cPZ8+etap9SzRv3hzOzs5QqVRISEhA27ZtIZfLIZVK4ejo\\\n",
       "iOXLl5d7H550FREIS1q1mYioIjAQEpFJarUaL7zwAk6ePIm1a9dCq9UiOTkZycnJUKlU+nrdu3fH\\\n",
       "0qVL9e+nT5+OH3/8EatWrcLFixfxyiuvIDc3F2PHjgXwaKRn/PjxmD59Ovbt24f4+HiMHTsW7du3\\\n",
       "L9fRnerK2dkZzs7OcHV1RZMmTXDy5EmjOmKxGNOmTcMzzzxTCT00dOnSJaORq5kzZ+oXQxEEAVOm\\\n",
       "TMHQoUOh0+kgCAIOHz5ssq1JkyZBqVQiNjbW6JnRlStXmu1DTEyMwXu5XI7MzExcv34dR44cgVKp\\\n",
       "xOnTp61awfTmzZtwcHDAM888g1atWkEqlaJVq1bIzs62uC1rSCQS7Nu3D6dOnYKHhwdUKhUiIiJw\\\n",
       "4sQJqFSqcpumSqUTHx+PLl266F9z584ttn7hdiK22juUiMgaVWOTJyKqchITE7F161YAQHh4uMGx\\\n",
       "ffv26Ve7vHbtGtLT0/XHhg4dirS0NMyZMwfJyckIDw/Hzp07DRaa+eqrryAWizFo0CAolUpERkZi\\\n",
       "2bJl5X5P1dHji4dcuHABrVu3xvfff29yu4ZVq1ahXr16FdIvkUhk9kvs008/jRs3bujfx8fHG9X5\\\n",
       "7bffsGvXLgwcOBAbN2402c4vv/yCQ4cOmdzm5MGDB2b71q5dO3z55Zf48MMPERUVhZ9//tko/IWH\\\n",
       "hyMvLw/Ozs4WhyitVms2xFpCLBbjqaeeQrNmzRATE4O7d+8WW9/DwwP37983uBdHR0fk5OSUuS9k\\\n",
       "zJKRv8J6OTk5Bs+xxsXFYd68ecWe8+abb5axp0REZSMS+GspIqqGsrKy8OWXX5bqC1tJv6Wvykzd\\\n",
       "n0QigUajMSpXKpVwdHQs1/5EREQgLi4Ojo6OiImJwbPPPmuyfyqVSh9cXn75Zfzwww8274tOpyvz\\\n",
       "81c7duxAVFSUjXpUehKJBFeuXEHdunUBPBqR79WrF/bv32+yvkgkglKpNLmKqlgstmiE6Un4Z99c\\\n",
       "yHrcBx98gMzMTIunl3fp0gVxcXHYsmULXFxcSnVObm4u+vXrB4VCgYiICH15586dTfbV1dVVH+QL\\\n",
       "fx6Ff5efhJ8PEVUvnDJKRFTNaLVag2m7hcpzLz7g0cjuyZMn4eLiAolEgt69e2PkyJFG9YqOuL38\\\n",
       "8svl0h9bfHHu3bu3DXpiuQkTJujDIAA4ODgUG3Jq1KhhdkuN8v652ytrniGMiIjA/v379S9zP9PH\\\n",
       "R3WLjkSKRCKjac9EROWJgZCIqBoytQ9jea5W6ODggKlTpxqVf/HFFyWe+3jwqWrEYnGlrPI4adIk\\\n",
       "o7LiFm0ytc1GoaqyyuyTpjwXlenVq1exx3v27FmWrhMRWYTPEBIRVWGWjIJJJJIKn27m4+NT4jU9\\\n",
       "PDyq9DS4qrIQS5MmTaz6nLjXYPmw5hnC0tq1a5fZNqryfytE9GTiCCEREREREZGd4gghERERURHl\\\n",
       "OUJoCkcGiaiyMBASERERFVHRgZCIqLIwEBIREREVwUBIRPaCgZCIiIioCAZCIrIXDIRERERERTAQ\\\n",
       "EpG94CqjREREREREdoojhERERERFcISQiOwFAyERERFREQyERGQvGAiJiIiIimAgJCJ7wUBIRERE\\\n",
       "VAQDIRHZCwZCIiIiIhMY9IjIHnCVUSIiIiIiIjvFEUIiIiKiIjhllIjsBQMhERERUREMhERkLxgI\\\n",
       "iYiIiIpgICQie8FASERERFQEAyER2QsGQiIiIqIiGAiJyF4wEBIREREVwUBIRPaC204QERERERHZ\\\n",
       "KY4QEhERERXBEUIishcMhERERERFMBASkb1gICQiIiIqgoGQiOwFAyERERFREQyERGQvGAiJiIiI\\\n",
       "imAgJCJ7wVVGiYiIiIiI7BRHCImIiIiK4AghEdkLBkIiIiKiIhgIicheMBASERERFcFASET2goGQ\\\n",
       "iIiIqAgGQiKyFwyEREREREUwEBKRveAqo0RERERERHaKI4RERERERXCEkIjsBQMhERERkQkMekRk\\\n",
       "DxgIiYiIiIrgCCER2QsGQiIiIqIiGAiJyF4wEBIREREVwUBIRPaCgZCIiIioCAZCIrIX3HaCiIiI\\\n",
       "iIjITnGEkIiIiKgIjhASkb1gICQiIiIqgoGQiOwFAyERERFREQyERGQvGAiJiIiIimAgJCJ7wUBI\\\n",
       "REREVAQDIRHZC64ySkREREREZKc4QkhERERURHmOEJqqL5FIoNFoLGqHiMgWOEJIREREVERhICzt\\\n",
       "y9prFNJqtRg6dKituk9EVGoMhERERERFlGcgFAQBgiBAp9NBEAQEBwcDAH777bfyuBUiomJxyigR\\\n",
       "PfHmzZtX2V0gomrGmimj8fHx6NKli768c+fOpfr/n6SkJKv6SERkCwyEREREREVYEwhzcnIQFxen\\\n",
       "L4+LiysxEJ49exZqtRrAo5FDIqKKxkBIREREZAMKhQIRERH69507dy7xnBYtWgAA3Nzcyq1fRETF\\\n",
       "YSAkIiIiKsKaEcKIiAjs37/fomsAgFwuR2ZmpsV9JCKyBS4qQ0SlMmnSJIhEIixevLjEut9++y3q\\\n",
       "1KkDR0dHtG3bFidOnDA4XlBQgMmTJ8PLywsKhQKDBg1CSkpKOfWciMhy5bmoTEpKiv4ciUSCgoKC\\\n",
       "8rgFIqJSYSAkohL9+eefOHbsGAIDA0usu2HDBkyfPh1z587FqVOn0KJFC0RGRiI1NVVf54033sC2\\\n",
       "bduwceNGxMXF4d69exg4cGB53gIRkUXKMxD6+/vr/1yjRg34+vrC19cXr7zyiq1vg4ioRAyERFSs\\\n",
       "xMREvP7661i7di0cHBxKrP/ll1/ipZdewtixY9G4cWMsX74czs7OWLFiBQAgMzMTP/30E7788kt0\\\n",
       "69YNERER+Pnnn3HkyBEcO3asvG+HiKjUynMPwkJpaWn61/Lly23UcyKi0mMgJCKzdDodRo4cibff\\\n",
       "fhtNmjQpsb5KpUJ8fDx69OihLxOLxejRoweOHj0K4NGy7Gq12qBOw4YNERwcrK9DRFTZKmIfQlMv\\\n",
       "IqKKxkVliMisTz75BFKpFFOmTClV/fT0dGi1Wvj5+RmU+/n54dKlSwCA5ORkyGQyeHh4GNVJTk42\\\n",
       "27ZSqYRSqdS/z8rKKuVdEBEREZE5HCEkIgDA2rVroVAo9K+4uDgsWbIEK1euLPOUKFtYtGgR3N3d\\\n",
       "9a+goKDK7hIRPcHKc4SQiKgqYSAkIgBA3759cebMGf3ryJEjSE1NRXBwMKRSKaRSKW7duoU333wT\\\n",
       "derUMdmGt7c3JBKJ0YqhKSkp+kUU/P39oVKpkJGRYbaOKTNnzkRmZqb+defOnTLdLxFRcRgIiche\\\n",
       "cMooEQEAXF1d4erqqn8/ceJE9OnTx6BOZGQkRo4cibFjx5psQyaTISIiArGxsejfvz+AR88hxsbG\\\n",
       "4rXXXgPwaJ8uBwcHxMbGYtCgQQCAy5cv4/bt22jfvr3Z/snlcsjl8rLcIhFRqVmzDyERUXXEQEhE\\\n",
       "Jnl5ecHLy8ugzMHBAf7+/mjQoIG+rHv37hgwYIA+8E2fPh2jR49Gq1at0KZNGyxevBi5ubn6EOnu\\\n",
       "7o7x48dj+vTpqFGjBtzc3PD666+jffv2aNeuXcXdIBFRMRgIicheMBASUZlcu3YN6enp+vdDhw5F\\\n",
       "Wloa5syZg+TkZISHh2Pnzp0GC8189dVXEIvFGDRoEJRKJSIjI7Fs2bLK6D4RkUkMhERkLxgIiajU\\\n",
       "bt68Waqy1157TT9iaIqjoyO+/fZbfPvttzbsHRGR7TAQEpG94KIyREREREREdoojhERERERFcISQ\\\n",
       "iOwFAyERERFREQyERGQvGAiJiIiIimAgJCJ7wUBIREREVAQDIRHZCwZCIiIioiIYCInIXnCVUSIi\\\n",
       "IiIiIjvFEUIiIiKiIjhCSET2goGQiIiIqAgGQiKyFwyEREREREUwEBKRvWAgJCIiIiqCgZCI7AUD\\\n",
       "IREREVERDIREZC+4yigREREREZGd4gghEVVLgiBUdheIqIory/9PZGdnl3rkLzs72+rrEBFVNgZC\\\n",
       "IqqWsrOzMW/evMruBhFVYdnZ2XB3d7fonFatWiEuLg5BQUEWX69Vq1YWn0NEVNlEAn/NTkTVkE6n\\\n",
       "w7179+Dq6mrXz+9kZWUhKCgId+7cgZubW2V3p9Lwc3iEn8MjgiAgOzsbgYGBEIstfzrmrbfewsmT\\\n",
       "Jy06p1WrVvj8888tvhYRUWVjICQiqsaysrLg7u6OzMxMuw4A/Bwe4edARESW4qIyREREREREdoqB\\\n",
       "kIiIiIiIyE4xEBIRVWNyuRxz586FXC6v7K5UKn4Oj/BzICIiS/EZQiIiIiIiIjvFEUIiIiIiIiI7\\\n",
       "xUBIRERERERkpxgIiYiIiIiI7BQDIRFRFaJWqzFjxgw0a9YMLi4uCAwMxKhRo3Dv3r0Sz/32229R\\\n",
       "p04dODo6om3btjhx4oTB8YKCAkyePBleXl5QKBQYNGgQUlJSyutWyqSkeylq48aNaNiwIRwdHdGs\\\n",
       "WTPs2LHD4LggCJgzZw4CAgLg5OSEHj16ICEhoTxvocwWLVqE1q1bw9XVFb6+vujfvz8uX75c4nlP\\\n",
       "4mdBRETlh4GQiKgKycvLw6lTp/D+++/j1KlT2LRpEy5fvoy+ffsWe96GDRswffp0zJ07F6dOnUKL\\\n",
       "Fi0QGRmJ1NRUfZ033ngD27Ztw8aNGxEXF4d79+5h4MCB5X1LFivNvTzuyJEjiI6Oxvjx43H69Gn0\\\n",
       "798f/fv3x7lz5/R1Pv30U3z99ddYvnw5jh8/DhcXF0RGRqKgoKCibsticXFxmDx5Mo4dO4aYmBio\\\n",
       "1Wr06tULubm5Zs95Uj8LIiIqRwIREVVpJ06cEAAIt27dMlunTZs2wuTJk/XvtVqtEBgYKCxatEgQ\\\n",
       "BEHIyMgQHBwchI0bN+rrXLx4UQAgHD16tPw6b4WS7qWoIUOGCFFRUQZlbdu2FV5++WVBEARBp9MJ\\\n",
       "/v7+wmeffaY/npGRIcjlcmHdunXlcAflIzU1VQAgxMXFma1jL58FERHZDkcIiYiquMzMTIhEInh4\\\n",
       "eJg8rlKpEB8fjx49eujLxGIxevTogaNHjwIA4uPjoVarDeo0bNgQwcHB+jpVQWnupaijR48a1AeA\\\n",
       "yMhIff0bN24gOTnZoI67uzvatm1bpe69JJmZmQCAGjVqmK1jL58FERHZDgMhEVEVVlBQgBkzZiA6\\\n",
       "Ohpubm4m66Snp0Or1cLPz8+g3M/PD8nJyQCA5ORkyGQyo1D5eJ2qoDT3UlRycnKJ915YVto2qxqd\\\n",
       "Todp06ahQ4cOaNq0qdl69vBZEBGRbTEQEhFVorVr10KhUOhfBw8e1B9Tq9UYMmQIBEHAd999V4m9\\\n",
       "pMo2efJknDt3DuvXr6/srhAR0RNGWtkdICKyZ3379kXbtm3172vWrAng/8PgrVu3sHfvXrOjgwDg\\\n",
       "7e0NiURitGJoSkoK/P39AQD+/v5QqVTIyMgwGCV8vE5VUJp7Kcrf37/Eey8sCwgIMKgTHh5uw96X\\\n",
       "j9deew1//fUXDhw4gFq1ahVb90n/LIiIyPY4QkhEVIlcXV1Rv359/cvJyUkfBhMSErBnzx54eXkV\\\n",
       "24ZMJkNERARiY2P1ZTqdDrGxsWjfvj0AICIiAg4ODgZ1Ll++jNu3b+vrVAWluZei2rdvb1AfAGJi\\\n",
       "YvT1Q0JC4O/vb1AnKysLx48fr1L3XpQgCHjttdfw559/Yu/evQgJCSnxnCf1syAionJU2avaEBHR\\\n",
       "/1OpVELfvn2FWrVqCWfOnBGSkpL0L6VSqa/XrVs34ZtvvtG/X79+vSCXy4WVK1cKFy5cECZOnCh4\\\n",
       "eHgIycnJ+jqTJk0SgoODhb179wonT54U2rdvL7Rv375C7680SrqXkSNHCu+++66+/uHDhwWpVCp8\\\n",
       "/vnnwsWLF4W5c+cKDg4Own///aev8/HHHwseHh7Cli1bhLNnzwr9+vUTQkJChPz8/Aq/v9J65ZVX\\\n",
       "BHd3d2H//v0Gfw/y8vL0dezlsyAiovLDQEhEVIXcuHFDAGDytW/fPn292rVrC3PnzjU495tvvhGC\\\n",
       "g4MFmUwmtGnTRjh27JjB8fz8fOHVV18VPD09BWdnZ2HAgAFCUlJSBdyV5Yq7l86dOwujR482qP/b\\\n",
       "b78JYWFhgkwmE5o0aSJs377d4LhOpxPef/99wc/PT5DL5UL37t2Fy5cvV8StWM3c34Off/5ZX8de\\\n",
       "PgsiIio/IkEQhMoZmyQiIiIiIqLKxGcIiYiIiIiI7BQDIRERERERkZ1iICQiIiIiIrJTDIRERERE\\\n",
       "RER2ioGQiIiIiIjITjEQEhERERER2SkGQiIiIiIiIjvFQEhERERERGSnGAiJiKha+Omnn9CrV69y\\\n",
       "v87OnTsRHh4OnU5X7tciIiKqbAyERERU5RUUFOD999/H3Llzy/1avXv3hoODA9auXVvu1yIiIqps\\\n",
       "DIRERFTl/f7773Bzc0OHDh0q5HpjxozB119/XSHXIiIiqkwMhEREVGHS0tLg7++Pjz76SF925MgR\\\n",
       "yGQyxMbGmj1v/fr16NOnj0FZly5dMG3aNIOy/v37Y8yYMfr3derUwcKFCzFq1CgoFArUrl0bW7du\\\n",
       "RVpaGvr16weFQoHmzZvj5MmTBu306dMHJ0+exLVr16y/WSIiomqAgZCIiCqMj48PVqxYgQ8++AAn\\\n",
       "T55EdnY2Ro4ciddeew3du3c3e96hQ4fQqlUrq6751VdfoUOHDjh9+jSioqIwcuRIjBo1CiNGjMCp\\\n",
       "U6dQr149jBo1CoIg6M8JDg6Gn58fDh48aNU1iYiIqgsGQiIiqlDPPfccXnrpJQwfPhyTJk2Ci4sL\\\n",
       "Fi1aZLZ+RkYGMjMzERgYaPX1Xn75ZYSGhmLOnDnIyspC69atMXjwYISFhWHGjBm4ePEiUlJSDM4L\\\n",
       "DAzErVu3rLomERFRdcFASEREFe7zzz+HRqPBxo0bsXbtWsjlcrN18/PzAQCOjo5WXat58+b6P/v5\\\n",
       "+QEAmjVrZlSWmppqcJ6TkxPy8vKsuiYREVF1wUBIREQV7tq1a7h37x50Oh1u3rxZbF0vLy+IRCI8\\\n",
       "fPiwxHa1Wq1RmYODg/7PIpHIbFnRbSYePHgAHx+fEq9JRERUnTEQEhFRhVKpVBgxYgSGDh2KBQsW\\\n",
       "YMKECUajc4+TyWRo3LgxLly4YHSs6DTP69ev26SPBQUFuHbtGlq2bGmT9oiIiKoqBkIiIqpQs2bN\\\n",
       "QmZmJr7++mvMmDEDYWFhGDduXLHnREZG4tChQ0blW7ZswaZNm3Dt2jV8+OGHuHDhAm7duoXExMQy\\\n",
       "9fHYsWOQy+Vo3759mdohIiKq6hgIiYiowuzfvx+LFy/GmjVr4ObmBrFYjDVr1uDgwYP47rvvzJ43\\\n",
       "fvx47NixA5mZmQblUVFR+PTTT9G4cWMcOHAAy5Ytw4kTJ7BmzZoy9XPdunUYPnw4nJ2dy9QOERFR\\\n",
       "VScSHl9nm4iIqIoaPHgwnnrqKcycORPAo30Iw8PDsXjxYpteJz09HQ0aNMDJkycREhJi07aJiIiq\\\n",
       "Go4QEhFRtfDZZ59BoVCU+3Vu3ryJZcuWMQwSEZFd4AghERFVS+U1QkhERGRPGAiJiIiIiIjsFKeM\\\n",
       "EhERERER2SkGQiIiIiIiIjvFQEhERERERGSnGAiJiIiIiIjsFAMhERERERGRnWIgJCIiIiIislMM\\\n",
       "hERERERERHaKgZCIiIiIiMhOMRASERERERHZKQZCIiIiIiIiO8VASEREREREZKcYCImIiIiIiOwU\\\n",
       "AyEREREREZGdYiAkIiIiIiKyU/8Hm/Ck0mcLNvMAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[22] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAhONJREFUeJzt3Xd4U1XjB/Bvdrr3htKykVk2CBQBQUCGICqvTBFEGSIqiAq8\\\n",
       "oAxBGQqIgqAiIODLkCGK7JayhyAbymrppHskTXJ/f/A0P9IkbZKmi3w/z5NHcu65554bQPLtOfcc\\\n",
       "kSAIAoiIiIiIiMjhiCu6A0RERERERFQxGAiJiIiIiIgcFAMhERERERGRg2IgJCIiIiIiclAMhERE\\\n",
       "RERERA6KgZCIiIiIiMhBMRASERERERE5KAZCIiIiIiIiB8VASERERERE5KAYCImIiIiIiBwUAyER\\\n",
       "EREREZGDYiAkIiIiIiJyUAyEREREREREDoqBkIiIiIiIyEExEBIRkU0OHToEkUiEQ4cOVXRXyM5O\\\n",
       "njwJuVyOu3fvlvu1U1NT4eLigj179pT7tYmIHBEDIRERFWvFihX48ccfK7obNtmwYQOWLFlS0d0A\\\n",
       "AOh0OixYsADh4eFQKpVo0qQJNm7caPH56enpGDNmDPz8/ODi4oLnnnsOZ8+eNaq3adMmDBkyBHXq\\\n",
       "1IFIJELnzp2t7usnn3yCwYMHo0aNGlafW1o+Pj548803MX369HK/NhGRIxIJgiBUdCeIiKjyatSo\\\n",
       "EXx9fY1GAnU6HdRqNeRyOcTiyvnzxRdffBGXLl3CnTt3KrormDZtGubPn4/Ro0ejVatW2LFjB3bv\\\n",
       "3o2NGzfitddeK/ZcnU6Hjh074sKFC/jwww/h6+uLFStW4P79+zhz5gzq1Kmjr9u5c2ecOXMGrVq1\\\n",
       "wvnz59GkSROrRnHPnz+PiIgIHDt2DO3atbP1dkvlypUreOaZZ7B//3506dKlQvpAROQoGAiJiCyQ\\\n",
       "k5MDFxeXiu5GhTAXCKuCyhII4+LiEB4ejjFjxmDZsmUAAEEQEBkZidjYWNy5cwcSicTs+Zs3b8ar\\\n",
       "r76KLVu24OWXXwYAJCcno27duujZsyc2bNigr3v//n2EhIRALBbb9Hv37rvvYvv27bhz5w5EIpFt\\\n",
       "N2wHjRs3RkREBH7++ecK6wMRkSOonD/SJSIqQ3FxcRg1ahSCg4OhUCgQHh6Ot99+G2q1GgDw448/\\\n",
       "QiQS4fDhw3jnnXfg7++PatWq6c9fsWIFGjZsCIVCgeDgYIwbNw7p6ekG17hx4wYGDhyIwMBAKJVK\\\n",
       "VKtWDa+99hoyMjL0dfbt24cOHTrA09MTrq6uqFevHj7++OMS+2/JeSqVCjNnzkTt2rWhUChQvXp1\\\n",
       "TJkyBSqVyqi9X375Ba1bt4azszO8vLzQqVMn/PXXXwCAsLAw/Pvvvzh8+DBEIpHBFERzzxBu2bIF\\\n",
       "LVq0gJOTE3x9fTFkyBDExcUZ1BkxYgRcXV0RFxeH/v37w9XVFX5+fvjggw+g1WpL/Ax27NiB3r17\\\n",
       "638Pa9Wqhc8++8zg3M6dO2P37t24e/euvu9hYWFm2xwxYoS+XtHXf//73xL7VFJ/CwoK8M477+jL\\\n",
       "RCIR3n77bTx48AAxMTHFnv/bb78hICAAAwYM0Jf5+fnhlVdewY4dOwx+X6tXr16qEdvt27ejS5cu\\\n",
       "RmHQ3OcQFhaGESNG6N8X/v2JiorCxIkT4efnB09PT7z11ltQq9VIT0/HsGHD4OXlBS8vL0yZMgWm\\\n",
       "fjb9/PPPY+fOnSaPERGR/UgrugNEROUpPj4erVu31j+PVb9+fcTFxeG3335Dbm4u5HK5vu4777wD\\\n",
       "Pz8/zJgxAzk5OQCA//73v5g1axa6deuGt99+G9euXcO3336LU6dOITo6GjKZDGq1Gj169IBKpcKE\\\n",
       "CRMQGBiIuLg47Nq1C+np6fDw8MC///6LF198EU2aNMHs2bOhUChw8+ZNREdHF9t/S87T6XTo27cv\\\n",
       "oqKiMGbMGDRo0AAXL17E4sWLcf36dWzfvl1fd9asWfjvf/+L9u3bY/bs2ZDL5Thx4gQOHDiA7t27\\\n",
       "Y8mSJZgwYQJcXV3xySefAAACAgLM9u/HH3/EyJEj0apVK8ybNw+JiYlYunQpoqOjce7cOXh6eurr\\\n",
       "arVa9OjRA23atMGXX36Jv//+G1999RVq1aqFt99+u9jP4ccff4SrqysmT54MV1dXHDhwADNmzEBm\\\n",
       "ZiYWLlwI4PFzcBkZGXjw4AEWL14MAHB1dTXb5ltvvYVu3boZlO3duxfr16+Hv7+/viwlJaXYvhVy\\\n",
       "c3ODQqEAAJw7dw4uLi5o0KCBQZ3WrVvrj3fo0MFsW+fOnUPz5s2Ngl7r1q3x/fff4/r162jcuLFF\\\n",
       "/SpOXFwc7t27h+bNm5e6rcI/+7NmzcLx48fx/fffw9PTE8eOHUNoaCjmzp2LPXv2YOHChWjUqBGG\\\n",
       "DRtmcH6LFi2wePFi/Pvvv2jUqFGp+0NERGYIREQOZNiwYYJYLBZOnTpldEyn0wmCIAhr164VAAgd\\\n",
       "OnQQNBqN/nhSUpIgl8uF7t27C1qtVl++bNkyAYCwZs0aQRAE4dy5cwIAYcuWLWb7sXjxYgGAkJyc\\\n",
       "bFX/LTlv3bp1glgsFo4ePWpQvnLlSgGAEB0dLQiCINy4cUMQi8XCSy+9ZHA/gvD/n4UgCELDhg2F\\\n",
       "yMhIo+scPHhQACAcPHhQEARBUKvVgr+/v9CoUSMhLy9PX2/Xrl0CAGHGjBn6suHDhwsAhNmzZxu0\\\n",
       "GRERIbRo0aL4D0EQhNzcXKOyt956S3B2dhby8/P1Zb179xZq1KhRYnum3LhxQ/Dw8BCef/55gz8H\\\n",
       "ACx6rV271qAfNWvWNLpGTk6OAED46KOPiu2Li4uL8MYbbxiV7969WwAg7N271+R55n7vzPn7778F\\\n",
       "AMLOnTuNjgEQZs6caVReo0YNYfjw4fr3hX9/evToYfDnqF27doJIJBLGjh2rL9NoNEK1atVM9vHY\\\n",
       "sWMCAGHTpk0W95+IiKzHKaNE5DB0Oh22b9+OPn36oGXLlkbHi06RGz16tMFzXX///TfUajUmTZpk\\\n",
       "MFIzevRouLu7Y/fu3QAADw8PAMCff/6J3Nxck30pHCnbsWMHdDqdxfdgyXlbtmxBgwYNUL9+faSk\\\n",
       "pOhfhYtzHDx4EMDjqYE6nQ4zZswwGnmy5dmx06dPIykpCe+88w6USqW+vHfv3qhfv77+83nS2LFj\\\n",
       "Dd537NgRt2/fLvFaTk5O+l9nZWUhJSUFHTt2RG5uLq5evWp134vKycnBSy+9BC8vL2zcuNHgz8G+\\\n",
       "ffssevXo0UN/Tl5enn608EmFn1NeXl6x/Snt+ZZKTU0FAHh5eZW6rVGjRhn8OWrTpg0EQcCoUaP0\\\n",
       "ZRKJBC1btjT5e17YB0tHZImIyDacMkpEDiM5ORmZmZkWTz8LDw83eF+4J1u9evUMyuVyOWrWrKk/\\\n",
       "Hh4ejsmTJ2PRokVYv349OnbsiL59+2LIkCH6sPjqq69i9erVePPNN/HRRx+ha9euGDBgAF5++eVi\\\n",
       "n/+y5LwbN27gypUr8PPzM9lGUlISAODWrVsQi8V45plnLPo8SmLu8wGA+vXrIyoqyqBMqVQa9dHL\\\n",
       "ywtpaWklXuvff//Fp59+igMHDiAzM9Pg2JPPadpq9OjRuHXrFo4dOwYfHx+DY0WnlVrCycnJ5POb\\\n",
       "+fn5+uNleb61BDs8txcaGmrwvvDPfvXq1Y3KTf2eF/ahIhe2ISJyBAyERERmlOZL9ldffYURI0Zg\\\n",
       "x44d+OuvvzBx4kTMmzcPx48fR7Vq1eDk5IQjR47g4MGD2L17N/bu3YtNmzahS5cu+Ouvv8yuOGnJ\\\n",
       "eTqdDo0bN8aiRYtMtlH0C3lFKW5VzeKkp6cjMjIS7u7umD17NmrVqgWlUomzZ89i6tSpVo24mrJ0\\\n",
       "6VJs3LgRv/zyC5o1a2Z0PCEhwaJ2PDw89H+GgoKCcPDgQQiCYBBwHj58CAAIDg4utq2goCB93SdZ\\\n",
       "er6lCsOvJaG8kLnwaO7311S5qTYK++Dr62txX4iIyHqcMkpEDsPPzw/u7u64dOmSTecXbtJ97do1\\\n",
       "g3K1Wo3Y2FijTbwbN26MTz/9FEeOHMHRo0cRFxeHlStX6o+LxWJ07doVixYtwuXLlzFnzhwcOHBA\\\n",
       "P6XTnJLOq1WrFh49eoSuXbuiW7duRq/CEbxatWpBp9Ph8uXLxV7P0hEac59PYZm9Njk/dOgQUlNT\\\n",
       "8eOPP+Ldd9/Fiy++iG7dupmc5mjt6NLRo0fxwQcfYNKkSXj99ddN1gkKCrLotWnTJv05zZo1Q25u\\\n",
       "Lq5cuWLQ1okTJ/THi9OsWTOcPXvWKOyeOHECzs7OqFu3rlX3aU79+vUBALGxsSaPZ2VlGZUVjjjb\\\n",
       "W2Efii7EQ0RE9sVASEQOQywWo3///ti5cydOnz5tdLykaXLdunWDXC7H119/bVD3hx9+QEZGBnr3\\\n",
       "7g0AyMzMhEajMTi3cePGEIvF+ml/jx49Mmq/MBSYmhpYyJLzXnnlFcTFxWHVqlVGdfPy8vQrpvbv\\\n",
       "3x9isRizZ882ChpP3p+Li4vRthqmtGzZEv7+/li5cqXBPfzxxx+4cuWK/vMprcIRpif7qFarsWLF\\\n",
       "CqO6Li4uFk8hffjwIV555RV06NBBv1KpKbY8Q9ivXz/IZDKDPgqCgJUrVyIkJATt27c36MfVq1dR\\\n",
       "UFCgL3v55ZeRmJiIrVu36stSUlKwZcsW9OnTx+TzhbYICQlB9erVTf79AGC0xcgff/yB/Pz8Mtka\\\n",
       "4syZM/Dw8EDDhg3t3jYREf0/ThklIocyd+5c/PXXX4iMjNRvyfDw4UNs2bIFUVFRBtsiFOXn54dp\\\n",
       "06Zh1qxZeOGFF9C3b19cu3YNK1asQKtWrTBkyBAAwIEDBzB+/HgMGjQIdevWhUajwbp16yCRSDBw\\\n",
       "4EAAwOzZs3HkyBH07t0bNWrUQFJSElasWIFq1aoVu/2AJecNHToUmzdvxtixY3Hw4EE8++yz0Gq1\\\n",
       "uHr1KjZv3ow///wTLVu2RO3atfHJJ5/gs88+Q8eOHTFgwAAoFAqcOnUKwcHBmDdvHoDHy/9/++23\\\n",
       "+Pzzz1G7dm34+/vrF6h5kkwmwxdffIGRI0ciMjISgwcP1m87ERYWhvfee8/W3zYD7du3h5eXF4YP\\\n",
       "H46JEydCJBJh3bp1JkNJixYtsGnTJkyePBmtWrWCq6sr+vTpY7LdiRMnIjk5GVOmTMGvv/5qcKxJ\\\n",
       "kyZo0qQJANueIaxWrRomTZqEhQsXoqCgAK1atcL27dtx9OhRrF+/3mAa5bRp0/DTTz8hNjZWv2/i\\\n",
       "yy+/jLZt22LkyJG4fPkyfH19sWLFCmi1WsyaNcvgWkeOHMGRI0cAPH5uNicnB59//jkAoFOnTujU\\\n",
       "qVOxfe3Xrx+2bdtmNL0VAK5cuYJevXqhb9++iI+Px9KlS+Hh4YFjx45h48aNGDx4sNWfjTn79u1D\\\n",
       "nz59+AwhEVFZq4ilTYmIKtLdu3eFYcOGCX5+foJCoRBq1qwpjBs3TlCpVIIg/P+y+aa2phCEx9tM\\\n",
       "1K9fX5DJZEJAQIDw9ttvC2lpafrjt2/fFt544w2hVq1aglKpFLy9vYXnnntO+Pvvv/V19u/fL/Tr\\\n",
       "108IDg4W5HK5EBwcLAwePFi4fv16sX239Dy1Wi188cUXQsOGDQWFQiF4eXkJLVq0EGbNmiVkZGQY\\\n",
       "1F2zZo0QERGhrxcZGSns27dPfzwhIUHo3bu34ObmJgDQbxFQdNuJQps2bdK35+3tLbz++uvCgwcP\\\n",
       "DOoMHz5ccHFxMbq/mTNnCpb80xQdHS20bdtWcHJyEoKDg4UpU6YIf/75p1F/srOzhf/85z+Cp6en\\\n",
       "AKDYLSgiIyPNbiFharsFa2m1WmHu3LlCjRo1BLlcLjRs2FD45ZdfjOoVbskRGxtrUP7o0SNh1KhR\\\n",
       "go+Pj+Ds7CxERkaa/DNa+Bnaeh9nz54VABhtWwJAmDx5sjBo0CDByclJCAoKEpYtWyasXLlScHZ2\\\n",
       "Ft58801BEMz//SnsV9EtU0z9Wbhy5YoAwODvDBERlQ2RIJTBPA8iIiKqsrp27Yrg4GCsW7dOXyYS\\\n",
       "iTBz5kz897//LfPrT5o0CUeOHMGZM2c4QkhEVMb4DCEREREZmDt3LjZt2qTfSqQ8paamYvXq1fj8\\\n",
       "888ZBomIygGfISQiIiIDbdq0gVqtrpBr+/j4IDs7u0KuTUTkiDhCSERERERE5KA4QkhEREQl4pID\\\n",
       "RERPJ44QEhEREREROSgGQiIiIiIiIgfFKaNEVCXpdDrEx8fDzc2NKxESkQFBEJCVlYXg4GCIxdb/\\\n",
       "7HvSpEk4ffq0Vee0bNkSS5YssfpaREQVjYGQiKqk+Ph4rF69uqK7QUSV1KxZs3D//n1Uq1bNqvMm\\\n",
       "TZqEpUuXWn296OhoAGAoJKIqh4GQiKokNzc3AODoIBGZVfj/CWtYOzJo67mm/t9VuHDPihUrMG7c\\\n",
       "OKPjHh4eSE9Pt7l/RESmMBASUZXEIEhEJSnt/ycsPd/eK7D++OOP+l+LxWLodDoAQEZGhl2vQ0QE\\\n",
       "MBASERERGRGJRFYFSmtD4ZP1i17n5MmTJvsDAM7OzsjNzbXqWkRExWEgJCIiIirClkB47tw5dOjQ\\\n",
       "QV8WGRmJOXPm2LVfzZs3t2t7REQMhERERERFWBsIASA3N1e/uAzweKEZewTCSZMm6X8dFRVV6vaI\\\n",
       "iJ7EQEhERERUhC2B0NnZGREREfr3kZGRpe7HihUr9KuePvvss6Vuj4ioKAZCIiIioiJsCYQRERF2\\\n",
       "HcF7crXRmjVrcnSQiMqE9bu1EhEREVGZejIMhoSE4NatWxXcIyJ6WjEQEhERERVROEJo6ctavXr1\\\n",
       "MjpXJBLB2dnZaB/C/Px8+Pr6wtfXF/Pnz7fL/RERFWIgJCIiIiqirAPhH3/8YbI8Ly8P7733nkFZ\\\n",
       "amqq/jVt2jSb7oeIyBw+Q0hERERUhK1Bz1L23syeiMhWDIRERERERZR1ICQiqiwYCImIiIiKYCAk\\\n",
       "IkfBZwiJiIiIiIgcFEcIiYiIiIrgCCEROQqOEBKRxebPnw+RSIRJkyYVW2/Lli2oX78+lEolGjdu\\\n",
       "jD179hgcFwQBM2bMQFBQEJycnNCtWzfcuHGjDHtORGSdsl5llIiosmAgJCKLnDp1Ct999x2aNGlS\\\n",
       "bL1jx45h8ODBGDVqFM6dO4f+/fujf//+uHTpkr7OggUL8PXXX2PlypU4ceIEXFxc0KNHD+Tn55f1\\\n",
       "bRARWYSBkIgcBQMhEZUoOzsbr7/+OlatWgUvL69i6y5duhQvvPACPvzwQzRo0ACfffYZmjdvjmXL\\\n",
       "lgF4PDq4ZMkSfPrpp+jXrx+aNGmCn3/+GfHx8di+fXs53A0RUckYCInIUTAQElGJxo0bh969e6Nb\\\n",
       "t24l1o2JiTGq16NHD8TExAAAYmNjkZCQYFDHw8MDbdq00dcxRaVSITMz0+BFRFRWGAiJyFEwEBJR\\\n",
       "sX799VecPXsW8+bNs6h+QkICAgICDMoCAgKQkJCgP15YZq6OKfPmzYOHh4f+Vb16dWtug4iIiIhM\\\n",
       "YCAkIrPu37+Pd999F+vXr4dSqazQvkybNg0ZGRn61/379yu0P0T0dOMIIRE5Cm47QURmnTlzBklJ\\\n",
       "SWjevLm+TKvV4siRI1i2bBlUKhUkEonBOYGBgUhMTDQoS0xMRGBgoP54YVlQUJBBnWbNmpnti0Kh\\\n",
       "gEKhKO0tERFZhEGPiBwFRwiJyKyuXbvi4sWLOH/+vP7VsmVLvP766zh//rxRGASAdu3aYf/+/QZl\\\n",
       "+/btQ7t27QAA4eHhCAwMNKiTmZmJEydO6OsQEVUGHB0kIkfAEUIiMsvNzQ2NGjUyKHNxcYGPj4++\\\n",
       "fNiwYQgJCdE/Y/juu+8iMjISX331FXr37o1ff/0Vp0+fxvfffw8A+n0MP//8c9SpUwfh4eGYPn06\\\n",
       "goOD0b9//3K9PyIic6wJewyFRFSVMRASUancu3cPYvH/TzZo3749NmzYgE8//RQff/wx6tSpg+3b\\\n",
       "txsEyylTpiAnJwdjxoxBeno6OnTogL1791b4c4pERIUYCInIUTAQEpFVDh06VOx7ABg0aBAGDRpk\\\n",
       "tg2RSITZs2dj9uzZdu4dEZF9MBASkaPgM4REREREREQOiiOEREREREVwhJCIHAUDIREREVERDIRE\\\n",
       "5CgYCInoqTdz5syK7gIR2dGsWbPK/BoMhETkKBgIiYiIiIpgICQiR8FASERERFQEAyEROQquMkpE\\\n",
       "REREROSgOEJIREREVARHCInIUTAQEhERERXBQEhEjoKBkIiIiKgIBkIichQMhERERERFMBASkaNg\\\n",
       "ICQiIiIqgoGQiBwFVxklIiIiIiJyUBwhJCIiIiqCI4RE5CgYCImIiIiKYCAkIkfBQEhERERUBAMh\\\n",
       "ETkKBkIiIiKiIhgIichRMBASERERmcCgR0SOgKuMEhEREREROSiOEBIREREVwSmjROQoGAiJiIiI\\\n",
       "imAgJCJHwUBIREREVAQDIRE5CgZCIiIioiIYCInIUTAQEhERERXBQEhEjoKBkIiIiKgIBkIichTc\\\n",
       "doKIiIiIiMhBcYSQiIiIqAiOEBKRo2AgJCIiIiqCgZCIHAWnjBIREREVURgILX3Zo/0nJSQkGB2X\\\n",
       "SCT2uj0iIj0GQiIiIqIiyjoQliQoKMioTKfTYdKkSXa/FhE5NgZCIiIioiLKOhAKgqB/FZWQkGBU\\\n",
       "r1WrVgCApUuX2n5TREQmMBASERERVSKhoaFGZSdPnqyAnhCRI+CiMkRERERF2LKozLlz59ChQwd9\\\n",
       "eWRkJObMmWP1tQsKCgAAXl5eVp9LRGQtBkIiIiKiImwJhLm5uYiOjtaXR0dH2xQIiYjKEwMhERER\\\n",
       "URG2BEJnZ2dEREToyyMjI226tkwmQ0FBAdLS0mw6n4jIGgyEREREREXYEggjIiIQFRVV6mvfu3fP\\\n",
       "aJXRJ6eiEhHZEwMhERERURFlvTF9r1698Mcffxi14+TkhNzcXLNtv/vuu1Zfi4ioOFxllIiIiKic\\\n",
       "FQ2DhfLy8gAADx8+NDomFouxZMmSsuwWETkgjhASERERFVHWI4Sm9h98UmBgYIl1iIjsgYGQiIiI\\\n",
       "yARbgh4RUVXDQEhERERURFmPEBIRVRYMhERERERFMBASkaNgICQiIiIqgoGQiBwFAyERERFREQyE\\\n",
       "ROQouO0EERERERGRg+IIIREREVERHCEkIkfBQEhERERUBAMhETkKBkIiIiKiIhgIichRMBASERER\\\n",
       "FcFASESOgoGQiIiIqAgGQiJyFFxllIiIiIiIyEExEBIRVWKFoxRPvmQyWUV3q1zFx8eb/BwseUml\\\n",
       "JU+Eee6552xu3x6v5s2bIzIyEmKxuFyuR5bh50pEjoJTRomIqpjQ0NCK7kK5unPnjs3nenp6lljn\\\n",
       "9OnTNrdvD+fPn4dIJIIgCBXaDzLEKaNE5CgYCImIqpizZ89WdBfKVWkC2759+4o9npeXh+zsbJvb\\\n",
       "twdBEBgGKyEGQiJyFJwySkRUicnlcshkMkilUgQEBODhw4fw8PCo6G6Vqxo1ath0XoMGDRAREVFs\\\n",
       "nfbt29vUNj39OGWUiBwFAyERmTVv3jy0atUKbm5u8Pf3R//+/XHt2rUSz9uyZQvq168PpVKJxo0b\\\n",
       "Y8+ePQbHBUHAjBkzEBQUBCcnJ3Tr1g03btwoq9uo0lQqFdRqNQoKCpCQkIDAwMCK7lK569mzp8ly\\\n",
       "sViMa9euQafTQRAE6HQ6pKWl4ejRo3j06BEuX75cbLvXr1/H+fPnbepT3759ceXKFXz00UcMA08p\\\n",
       "BkIichQMhERk1uHDhzFu3DgcP34c+/btQ0FBAbp3746cnByz5xw7dgyDBw/GqFGjcO7cOfTv3x/9\\\n",
       "+/fHpUuX9HUWLFiAr7/+GitXrsSJEyfg4uKCHj16ID8/vzxui6oYuVyOuXPnGpT5+/tDo9Ggbt26\\\n",
       "+i/jIpEInp6e6NChA7y8vIpt8/Lly6hXr55N/fnnn3+wY8cO1K9fH/PmzUNBQQHkcrlNbZUFsViM\\\n",
       "1157DUOHDoVYzH/miYioePyXgojM2rt3L0aMGIGGDRuiadOm+PHHH3Hv3j2cOXPG7DlLly7FCy+8\\\n",
       "gA8//BANGjTAZ599hubNm2PZsmUAHo8OLlmyBJ9++in69euHJk2a4Oeff0Z8fDy2b99eTndG5UkQ\\\n",
       "BKjV6lK1MW3aNOTn5+P8+fPIzs5GYmKiTaMyarUatWvXRsOGDW3qR7169dC4cWODMolEgpycnEox\\\n",
       "StSpUydotVps3LgRP//8M9RqtUUrrZIxjhASkaNgICQii2VkZAAAvL29zdaJiYlBt27dDMp69OiB\\\n",
       "mJgYAEBsbCwSEhIM6nh4eKBNmzb6OqaoVCpkZmYavKjyKxylUigUcHZ2hlartbkthUKBpk2bwsXF\\\n",
       "xepzVSoVAgMDoVAocOvWLZv7YO6HIVKpFJMnT7a5XXv4/PPPcfjwYYMyiUSCxMTECupR1cZASESO\\\n",
       "goGQiCyi0+kwadIkPPvss2jUqJHZegkJCQgICDAoCwgIQEJCgv54YZm5OqbMmzcPHh4e+lf16tVt\\\n",
       "vRUqJwMGDMAvv/yif5+Xl4cOHTqUez+0Wi1cXFxKHYykUmmxYfSLL74oVful8eeff+KTTz4xeczb\\\n",
       "2xsvv/xyOfeo6mMgJCJHwUBIRBYZN24cLl26hF9//bVCrj9t2jRkZGToX/fv36+QflRWpRl502g0\\\n",
       "+OqrrzB69GhkZWXZpT95eXnYtm2bUXlJW2ao1WokJyfbpQ+F4uLiSvX5FNq4cWOxxyUSCYKCgkp9\\\n",
       "HVNEIhFkMhmUSiXkcjmkUikUCgW6desGtVqN7t27F3v+5s2buaKqDRgGicgR8MECIirR+PHjsWvX\\\n",
       "Lhw5cgTVqlUrtm5gYKDRSExiYqJ+dczC/yYmJhp8eU5MTESzZs3MtqtQKKBQKGy8g6df4V521n45\\\n",
       "zc3NRXh4OJKSkgAAu3btQnx8fKm/5DZv3txkeXEjbKtWrcKYMWMAAK6uriWGU61Wi6tXr6JOnTrF\\\n",
       "LuoSEhICiURicygUiUR46623LBplu379Otzc3Gy6jqnrjh07FkuWLCn1ojUikQjR0dH632cqGfch\\\n",
       "JCJHwUBIRGYJgoAJEyZg27ZtOHToEMLDw0s8p127dti/fz8mTZqkL9u3bx/atWsHAAgPD0dgYCD2\\\n",
       "79+vD4CZmZk4ceIE3n777bK4DYdg68Ih165d0z8bCjyeGmyJwq0eJBKJ0TFBEMxuT/LkFNKi5xSG\\\n",
       "QQDIzs5GTEyM/s9NUZmZmfDy8oJOp9Mv6mLuBwYSiQR5eXn44IMPEBUVhdatW+OVV15BjRo1oFar\\\n",
       "ceXKFf2zgZGRkWjZsiXc3Nz0K3Ras1Knq6srbt++jXr16qGgoMDi8wqv4+TkhObNm+OHH35AnTp1\\\n",
       "rDrfEv7+/nZvk4iIqjYGQiIya9y4cdiwYQN27NgBNzc3/TN+Hh4ecHJyAgAMGzYMISEhmDdvHgDg\\\n",
       "3XffRWRkJL766iv07t0bv/76K06fPo3vv/8ewOOfpE+aNAmff/456tSpg/DwcEyfPh3BwcHo379/\\\n",
       "hdynI2vWrBliYmLw7rvvwsnJCZs3by5xtOPEiRPo1KkTCgoK4O3tjaioKNSvX19/fPHixRAEweS5\\\n",
       "5vYUNLVI0N69e80GQh8fH3141Wq1aNWqFc6cOQOZTGayvkwmw9KlS00eq1+/Pl566SWTx2wRHh4O\\\n",
       "tVqNjIwMjBs3Dhs3bjQbtBUKBbZt24bu3bubDNdUcThCSESOgoGQiMz69ttvAQCdO3c2KF+7di1G\\\n",
       "jBgBALh3757BCEr79u2xYcMGfPrpp/j4449Rp04dbN++3WAhmilTpiAnJwdjxoxBeno6OnTogL17\\\n",
       "90KpVJb5PZEhkUiEiIgIHDlyxKL6Wq0W7du31wec1NRUNGjQAGKxGP7+/pBKpYiPjzd5rouLi9kv\\\n",
       "zqZ+74cOHWqy7r59+6DRaAzKLl68iBEjRmD9+vUW3Ud58PDwwC+//IK1a9eiUaNGuH79uv6YSCTC\\\n",
       "kiVLMHHixArsIRWHgZCIHAUDIRGZZW6U50mHDh0yKhs0aBAGDRpk9hyRSITZs2dj9uzZpekeVYBV\\\n",
       "q1aZHO3S6XTFrhILPN76QafTmZyCqVAoEBoainv37gEAvLy8ULt2bZPtDBgwwGT5hg0bsHr1av3o\\\n",
       "dWUhk8lw9epVLF26FLNmzYKzszMOHjyIunXrVkh/nobwMm3atFI/V1kSBkIichRcZZSIiCxWmr32\\\n",
       "NBoNatasafYHDXfv3sXJkycRFRWF1NRUs+3k5uaaPebi4oJNmzYZjSBWtMKp0klJSbh7926FhUGy\\\n",
       "HLedICJHwRFCIiKyyKNHj5CXl1eqNu7evQupVIrs7GyTI3mtWrUqsQ2lUmk2FAqCgNdee03/3sfH\\\n",
       "B/fu3YOzs7PtnbYjc884mqLRaPDdd98hKCgIL730EkNHOeMIIRE5CgZCIiKySElbjlhKp9PB19cX\\\n",
       "OTk5Np1/7do1VK9e3aK6qampCAgIsNv+iuVFo9FAqVTqt8pwcnJCTk4Og0c5YiAkIkfBKaNERFSi\\\n",
       "jz76qNSjg08qTVvVqlWDSqVC06ZNLaqfnZ1t0fOwxUlPT8eDBw9K3Y6lRo8ebbBvYl5entkVV4mI\\\n",
       "iEqDgZCIiIql0+nwxRdf2LXN0u6xJ5fLcf78eeh0OsyfP7/YuhKJxOYRHEEQEBAQAC8vL1SvXh1y\\\n",
       "uRz5+fk2tWWN3bt3G5WdOHECKSkpRuVarRZ79uzB7t27Ld5HkkrGZwiJyFEwEBIRUbGSk5Pt2l5I\\\n",
       "SAiuXr1ql7ZEIhGmTp2KvLw8jBs3zmSdKVOm2Nz+Tz/9hKSkJP17jUYDHx8fm9uz1JPbtDzJ398f\\\n",
       "V69ehU6ng1qtxrBhwyCTydC7d2+8+OKLCAwMLPO+OQoGQiJyFAyERERULE9PT6vqy+VyfPXVV7h4\\\n",
       "8SK2b9+OQYMGoU2bNpg+fTpycnLw4MEDu3+BViqVWLZsGWJjYw0Wbqlfvz7mzp1rc7s///yzUVlu\\\n",
       "bq7ZQBsbGwsXFxfIZDK88847Nl93165dJssFQUCDBg0gkUigUCiwbt06g2msycnJyM7Otvm69P8Y\\\n",
       "CInIUTAQEhFRsRQKhcXh5pNPPoFKpcLkyZPRqFEj9OvXD5s3b8bx48cxe/bsMl/tMywsDGq1Gnl5\\\n",
       "ecjPz8eVK1dK1d6IESNMljdu3NhoeubMmTNRs2ZN5ObmQqPR4Ntvv8Xff/9t8nydTofu3bvD29sb\\\n",
       "ixYtMjru7OyM999/3+r+ikSiMt+fz1EwEBKRo2AgJCKiEi1fvhyPHj1C48aNTW4s7+Pjg6ysLHz+\\\n",
       "+ecV0DtjSqUSCoWi1O28/vrrJr/sazQauLi44PDhwzh16hR8fHwwe/Zso3p9+vQx2a6Xlxf27duH\\\n",
       "tLQ0vP/+++jVq5dRnS+//BJt2rSxqr/jx49nILQTBkIichQMhEREZBEvLy/8888/0Gq1KCgowMOH\\\n",
       "D3H79m2oVCqkpKTA1dW1ortodxKJBN9//73JY/n5+ejcuTNat26NR48emayjUqmMygoKCpCZmWlQ\\\n",
       "tnfvXpPnHz9+HL6+viX2UywW49ixY/j6669LrCsIQpV/KRQKBjQiIjthICQiclBPbmtgLalUisDA\\\n",
       "QISHhz/1I1KjRo1C165dbT7fkq0qigswiYmJJkdlC02YMAEajYbbUtgZRwiJyFFwY3oiIgclkUgq\\\n",
       "5LqCIECtVkMsFhssAFOZ6HQ6gy/7u3fvhre3N3Jzc61qx9fX1ygsyGQyhISEIC4uTl+2Zs0as22I\\\n",
       "xWLcvXsX1atXNyh3cnJCcnIyXFxcrOoTWYYb0xORo+AIIRERlZs33ngDYrEYSqUScrkcEokE7dq1\\\n",
       "Q1xcHLRaLQRBgE6ng06nK7dN4J/0zz//QCaTQSKRQCKRICoqCoIgQC6XY8yYMRa3IxKJ4Ovri6NH\\\n",
       "j5o8/uDBA/zvf//Df/7zHyQkJGD48OHFtletWjUkJibimWeeQVhYGI4ePYrc3FyGwTLEEUIichQc\\\n",
       "ISQionLx6quvYvPmzQZlOp0Ox48fR7Vq1SASiSAWi/XPiYlEInh7e2PVqlXo06ePzSOaarUaFy9e\\\n",
       "RL169Yp9zvHhw4do2rSp/r0gCOjUqRPu3r2LkJAQixZ4qVu3LmJiYuDp6VliUBgwYAAGDBhg8X34\\\n",
       "+/vj33//tbg+lQ5HCInIUXCEkIiIbJKSkoL4+HiL6qalpRmFwaIEQYBWq9WPDup0OqSkpOCll16C\\\n",
       "VCqFVCqFl5cXPD09IZfLIZVK4ebmhpiYGLNt3r59G0qlEi1btoSbmxueffZZs3Vr1aplsk8xMTEQ\\\n",
       "BAE1a9Ystv9Lly7FtWvX4O3tDbFYzJBQxXGEkIgcBQMhERFZJT8/H25ubvDz80NISAhee+21YusL\\\n",
       "ggA/P79SX1er1SI9PR0ZGRkoKCiAVqtFdnY22rdvj549eyI/P9+ofu3atQ2mnh47dgyBgYFGbWdm\\\n",
       "ZiIvL8+oXCQS4cUXX4REIkGTJk3MfvGvW7cuJk6cWMo7JCIiKn8MhEREZJJOp4NGo9E/05ebm4t3\\\n",
       "3nkHTk5OyM7O1tfbsmVLse24u7uXakVTS+zduxceHh4Gm8XXqVPH5HOIiYmJ8PX11fdJEAS0b9/e\\\n",
       "ZLvXrl2Ds7MzgMd7G4aFhRnVEYvFuHLlSrH9u3HjBnr16oXRo0cjJSXF0tuiCsQRQiJyFAyERERk\\\n",
       "ICkpCTVq1IBCoYBSqYSzszOcnJzg6uqKb7/91qh+cYu/hIWFGYTHsqRWq9G/f38kJiZi+PDhiI2N\\\n",
       "NVs3NTUVMpkMdevWRVBQkNGzeVKpFIcOHUKdOnUMys+ePWvUVkJCQrHbQgBAZGQk/vjjD6xevRp+\\\n",
       "fn5QKBRIT0+3/ObspCIW6qnKyioM7t2712Q7CQkJZXAXRETFYyAkInIQKpUKKpXKbCgoKChAWFgY\\\n",
       "AgICcO/ePWg0Gmi1WqhUKqjVarPnmduHMDMzE3fv3rVb/y2xe/du1KpVCz///HOJdQVBwI0bN5CY\\\n",
       "mKgvUygUOHv2LAoKChAZGWl0jqenJ06dOgUfHx/UqVMH2dnZFk2HTUpKMnivVqvh5eWFtLQ0k/VV\\\n",
       "KpXBaKc9TJ48ucK2GqmKynKEsGfPnvpfP/n3JygoyG79JyKyFFcZJSJ6ymVlZaFevXpISEjQhzoX\\\n",
       "Fxe0adMG3bp1w/3797FhwwZkZGTY1H7jxo1Nll+7ds3mPttKp9MhJyfHpnPFYjHi4+Ph7e1dbL2W\\\n",
       "LVtaPe3TXGBo2LChyYV5JBJJiaOO1liwYAEWL15st/YcQXmsMvrkD1k47ZSIKgoDIRHRU0yn06FO\\\n",
       "nToGo2AAkJOTgwMHDuDAgQOlvkbXrl1Nljdr1qxU7SoUCv0m9uXB3d29xDBoqzZt2iA6Otqo/NGj\\\n",
       "R/otNp4kldr3n+ePPvrIru05AlsC4blz59ChQwd9eWRkJObMmWP2PIlEAq1WyzBIRBWKU0aJiCqx\\\n",
       "f//9F6mpqTY/+5WQkIDk5GQ798qQuWfhZDIZrl+/DplMBuDxl2alUglvb2+z00wBwM3NDfn5+cjP\\\n",
       "z4dKpcKJEyeKvb5cLkdoaGipw9zgwYNLdX5xzAXviIgIm8NAWloaAgMD4e3tXexobFZWFp8dtIEt\\\n",
       "U0Zzc3MRHR2tf82dO9dk2+fOnQPw+Ac2T/7+8/eJiCoCAyERUSXWqFEj+Pr6wt3d3abFWdzc3PSB\\\n",
       "zBZKpRLt27cvdsRq//79Zo/VqVMHarVav1JpXl4eUlNToVKpkJeXhzZt2ui/EIvFYnzzzTfIzMyE\\\n",
       "QqHQt9G6dWsMGTLEZPtdunRBVlYWbt68idOnT5c4zbK48LVkyZJizy0NuVxuFAolEgmOHDlic5s1\\\n",
       "atRAYmIi0tLSUL9+faSmppqsZ66c7M/Z2RnPPvus/vXxxx+brBcREWGynCOFRFQROGWUiKgKyM7O\\\n",
       "RseOHfUjC5Zyc3NDdnY2unfvjkOHDlk1AhEfH2+wyEWPHj3w119/GdUrbjXPQqa+6CqVShw/ftyi\\\n",
       "vqxbtw6pqan4448/ADwefczJyTEIu+Hh4Thw4AA6d+5sdH6HDh1w5MgRfT90Oh3OnTuHHTt2YPDg\\\n",
       "wWjQoIHZa2u1WgQFBSE5ORkikQg1a9bElStXrA7azz33HARB0I8KlebLv06nQ1ZWlkGZr68vNBqN\\\n",
       "0cIxoaGhNl/HkdkyZTQiIgJRUVEWX4PPEBJRZcARQiKiKkAkEuHzzz+36VypVIr9+/dj1qxZUCgU\\\n",
       "EIvF+pe5a925c8doxcO9e/eaPKes9xgstGfPHiQkJOD69etQq9UmA1lkZCTeeustg7JOnTrh6NGj\\\n",
       "Bl+4xWIxWrRogdmzZxcbBoHHK0IWTrsVBAG3bt2CUqk0CmSWEovFpf7yLxaLTa4Y+uGHH5qs++yz\\\n",
       "z5bqeo6I+xASkaNgICQiqsQUCgX8/Pywe/du9O7d2+Z2RCIRxowZgx49eqBfv37IzMyERqOBIAjQ\\\n",
       "arVISUnBkSNHcP36dWi1WtSoUcNkG6ZGKMvzy3BAQIDR3oBFrVy5EgUFBYiPj0deXh4OHz5cqmua\\\n",
       "mtap0+kQGBhYqnZLa8GCBUZlS5cuNVk3KioKU6dO5bYTViiPQCgSiaBQKBgoiahCMRASEVViubm5\\\n",
       "SEpKMti3zFZz587F/v37cePGDbi4uBg8u+fj44OOHTuiTp06xX45bdKkiVEgK80zimVFKpUiKCgI\\\n",
       "SqWy1G2ZC1G5ubk2b3FhD6b2FdTpdCan9QLA/PnzodFoyqNrT4WyDIRdunTR//rJVXTnzZtnt/4T\\\n",
       "EVmKgZCIqBKz1150Bw8exNdff42cnBxcunSpVJueX7t2zSAE/vDDD/boYqX1n//8x+wxlUpVjj0x\\\n",
       "duHCBaOynj17crVKOyjLQLh//34IgmD04vYgRFQRGAiJiBzA22+/bfD+wYMHNrclEonw6quv6qe7\\\n",
       "DRw4sLTdq9Teffdds8ecnJzKsSfG6tevb1Sm0+lw586d8u8MERFVSQyERERPOUEQjPapq1evXqna\\\n",
       "XLVqFdasWYPExMQKD0VlrVGjRhg1apRRubu7e4Xfu0QiMflMZe3atTlKWEpcVIaIHAUDIRFRFXX/\\\n",
       "/n24u7tDIpHA1dXV7AbupqaH5ufnl2p10OzsbDz//PPw8PCwuY2qZPXq1fjtt9/g5OQEsVgMV1dX\\\n",
       "3Lhxo6K7BQBYtGiRUZlOp8OAAQMqoDdPDwZCInIUDIRERFVQbGwsQkNDkZWVBZ1Oh5ycHLRt2xZ/\\\n",
       "/vmnUV2JRGJyYZSCggKrr/vo0SPUqVMH1atXx8SJE23qu60EQYBGo9G/tFqtXUbBLG1j4MCByM7O\\\n",
       "RmZmJtLS0uDv71/qa9uDqWmjALB9+3aOEpYCAyEROQoGQiKiKqhhw4Ymy/v162eyfP/+/QbvxWKx\\\n",
       "1StwtmrVCj4+Prh58yby8/OxdetWpKenW9WGLe7cuaMfCZXJZFAoFKhWrRp+/PFH5Ofn29yuTqfD\\\n",
       "hAkT4O/vj65duxqs9miOWCyGi4sLpFKpzde1t6LTgZ90+fLlcuzJ04WBkIgcBQMhEVEVIwiC2fBi\\\n",
       "bhpoZGQktmzZot8UPS4uzqprzp49G6dPnzYqL+sFZfLy8lCrVi1kZWXpR7t0Oh1SUlJQt25dm5/h\\\n",
       "EwQBtWrVwrJly5CSkoIDBw6gcePGpeqrIAjIzMxEXl5eqdopiUajQUFBAbRaLVJTU/HGG2+Yrfvq\\\n",
       "q6+WaV+eZgyEROQoGAiJiKoYkUiE559/3uSx4qZxvvzyy9BqtTZtqj5nzhyT5eaeW7SXhw8fmnwG\\\n",
       "snv37ujYsaPN7Q4aNMhoJc4bN27YPOJ47949yOVyeHh4wNnZGW5ubkhOTjZZtzRTXXNyctC7d2/4\\\n",
       "+vrCzc0NAQEBSEpKMlv/ypUrnDZKRETFYiAkIqrE4uPjkZqaavS83549e3Dp0iWEhYVBJpPByckJ\\\n",
       "q1evxldffVUm/TA3AiKXy8vkeoXCwsLg5+dnUBYZGYk9e/YUe969e/dw4cIFk2FIo9Fg69atRuWC\\\n",
       "ICAjI8OmfrZq1cpg0/fs7GwEBgbi4sWL+j7k5ubigw8+QHh4OAYOHGhT+Bw2bBj++usv/UhkSQsD\\\n",
       "6XQ6o+nCZBmOEBKRo6g8D0EQEZGRkJAQAI+/nE6cOBFLlizRv2/YsCFiY2PLpR9Tp07F7Nmzjcq/\\\n",
       "++67Mr2uWCxGYmIizpw5g4sXL+Kll16Cp6dnsee0bt0ap06dAvB4n8CcnByDL+wpKSlmR81sDbg5\\\n",
       "OTlGZTqdDs2bN8ebb74Jd3d3fPvtt8jKygLweIXYatWq4dKlSwgICADweHpsQkICnJyc4O/vb7QQ\\\n",
       "0MmTJ00G2ZL07NkTWVlZ+mdGn4bwMm3atDL/YYQ1Qe9p+EyJyHFxhJCIqAoQBAHLli2rsOl/s2bN\\\n",
       "QnBwsEFZSEgIBg0aVObXFolEaNmyJUaOHFliGIyPj9eHQeBxyFq6dKnF13J3d7epj4MHDzZZrtFo\\\n",
       "sHLlSixYsEAfBgulpqaievXqCAkJgYuLC1xcXFCrVi0EBwdDLpfjzTff1G8PcurUKbRr186mvmk0\\\n",
       "GgQEBCA3N9em8x0VRwiJyFFwhJCoiouNjcXRo0dx9+5d5Obmws/PDxEREWjXrp3Vq0hS5VeRXzzj\\\n",
       "4uIQFxeHnTt3onfv3qhevXqF9cUcUxvIz5kzB5MmTdK/N7d3okwmM7k9hyW+/fZbrF692urzNBoN\\\n",
       "Hj58aFSu0+nwww8/YOPGjfD29kZcXFypfhiQmZkJLy8v/PLLLza34YgY9IjIETAQElVR69evx9Kl\\\n",
       "S3H69GkEBAQgODgYTk5OePToEW7dugWlUonXX38dU6dORY0aNSq6u2QH9+/fr+guICQkBGPHjq3o\\\n",
       "bpj15HN8hYouSmNuy4gHDx7YfF2pVIpjx46hffv2NrdhSm5urt1G9tRqNV555RW7tOUIOGWUiBwF\\\n",
       "p4wSVUERERH4+uuvMWLECNy9excPHz7EmTNnEBUVhcuXLyMzMxM7duyATqdDy5YtsWXLloruMtlI\\\n",
       "KpXCz88PCQkJCAoKKnV7giBg586diI6OfipXnxw/frxRmZeXl8H77OxsozpisbjUG82Hh4eX6nwi\\\n",
       "IqKKwBFCoipo/vz56NGjh9njCoUCnTt3RufOnTFnzhyj5fWp6ii6umhpqNVqODs761emlEgkuH79\\\n",
       "OmrWrGm3a1Q0U1tRFF2Jc+bMmUZ1zG3DcefOHWzcuBGjRo0qMTAOHTrUip7ah7OzM/Lz801uzUGl\\\n",
       "wxFCInIUHCEkqoKKC4NF+fj4oEWLFmXYG6oqNmzYYBCOtFotnn/++acqTJh6bjYzM9Pg/W+//WZU\\\n",
       "x9y06rZt22L69Olo1aoVVCqV2evm5ubi0KFD1nXWAmKx+X+mfXx8sGvXLvTv39/u1yUuKkNEjoOB\\\n",
       "kOgpkZSUhEuXLuGff/4xeBEVeuutt4zKbt++jbFjx1b49FFBEMqsD2lpafo9/1JTU00u4vLyyy8b\\\n",
       "ld26dQuJiYnQarW4d+8enJ2djbb50Gq1GDFiBFxcXEw+v1gaAwcOxIIFCyCTyYyOOTk5ITk5Gc89\\\n",
       "9xz+97//oW7duna9NjEQEpHjYCAkquLOnDmDRo0aISgoCE2aNEGzZs0QERGh/y9RIXOjTTdu3KjQ\\\n",
       "UcI///wTLi4ucHNzw+HDh03WUalUeP/999GrVy+cOHHCbHi8fPmyUZkgCJg8eTIePnyI7t27mzyv\\\n",
       "b9++RmVFt3nQ6XSoWbMm3N3d0b59e/j4+EAqleKnn34q6RaNODk5QaFQmD0eExOD3377De+//z72\\\n",
       "7dtndDwhIcEghJw/f97qPlDxGAiJyFEwEBJVcW+88Qbq1q2LY8eO4fbt24iNjTX4L1GhnTt3Gn1x\\\n",
       "rVu3Lnbt2mXzdgullZ6ejhdeeAF5eXnIyclB586dMXz4cIPAt23bNjg5OWHRokX4448/0LZtW8hk\\\n",
       "Mvz9998GbQmCYDLYFbaxZ88e3Lt3z+TxsLAwo7LU1FSTdbOyshATE4NHjx5ZeJeGrly5gtzcXOTn\\\n",
       "5yM/Px8dOnSAWCyGSCSCp6cnMjIy0LZtW339yMhITJo0SR88li1bZrRfopOTk8lpr6Ghofjwww8R\\\n",
       "GRlpcqSRzGMgJCJHwUVliKq427dv43//+x9q165d0V2hSq5bt25Qq9VISUmBVCqFl5dXqYOgRqNB\\\n",
       "bGwsEhISEBYWhqCgILPbOpjyzDPPGJX9/PPP2Lt3L4YNG4ZNmzaZ3G6j8PlHT09PLFy4EImJidiw\\\n",
       "YYPJ6aAA0KxZM/Tp0wcFBQV45513DAJnSEiIyT5LJBK7j5zWqVMH9evX179XKBQ4evQogMeB1lyw\\\n",
       "WLx4MT7//HOIRCI4OzubrHP79m1Ur14dCQkJ8PHxwfXr1+Hp6WlQR6fTFftcYlUxa9asMr8GF5Uh\\\n",
       "IkfBQEhUxXXt2hUXLlxgICSLSKVSsytqFhIEAenp6XB1dS12VKl79+4mpzO6ublhwoQJGDlyJAID\\\n",
       "A+Hk5GQyeCYlJZkNcElJSfjyyy9LuJvHI4yjR48uto5UKsW2bdugVCoxduxYdOjQAa1bt0Z+fj6c\\\n",
       "nZ1x9epVk+dNmDABixYtKrEP1mjcuLHZYyWFChcXl2KPi8VixMXFFRv6noYwSERE9sV/GYiquNWr\\\n",
       "V2PNmjWYNWsW/ve//+H33383eBFZ6/vvv0dAQABcXV3N7mEZGhpqMgwCj6dUzp07F3Xq1IGbmxtk\\\n",
       "Mhk8PDzw+++/Q6vVQhAEPHz4ECEhIWV5G3qXLl0yWH20UaNGyM7ORmJiIh49egRXV1eT51kSSK11\\\n",
       "7do1u7dZFEOffXDKKBE5Co4QElVxMTExiI6Oxh9//GF0TCQSGe3BRlScW7duYezYsfr3r7zyChQK\\\n",
       "BRITE+Hh4YHc3Fx4eXlBrVZb3KYgCMjMzES/fv3KostmiUQi5ObmmtyKQiwWw8/Pr8TzVSoVateu\\\n",
       "bXLa6pPq1auHS5cuQSqVIjMzE15eXianmyYnJ1t3E1RhOGWUiBwFf4xIVMVNmDABQ4YMwcOHD6HT\\\n",
       "6QxeDIP0pIKCAty/f7/YMPfSSy8ZlalUKgQEBGDs2LGoU6eOVWGwIiUnJ5sMg9aQy+U4f/48goOD\\\n",
       "zdZ5+eWXcfXqVf1ziO7u7rhx44bJur179y5Vf6j8cISQiBwFAyFRFZeamor33nsPAQEBFd0VqsTy\\\n",
       "8/Ph5eWF0NBQKJVKs5usm3ueTqVSYd26dUhMTCzLbtrNhQsX4OPjY5e2nJyc8P7775vcJuKNN94w\\\n",
       "Oa22cHuKolasWGGXPlHZYyAkIkfBKaNEVdyAAQNw8OBB1KpVq6K7QpVYs2bNkJOTA+DxFE5PT0/k\\\n",
       "5eUZ1Stuc/Xq1asjLS0NSUlJZdZPa0gkEpOj4AsXLkSTJk2sbk+r1UKtViMtLQ2xsbG4fv067t+/\\\n",
       "j6ysLNy6dQu+vr5ISkqCVquFs7Mz9u7di2effdZseykpKXBxcUFBQQEAYP369aUesSyN9PR0HDp0\\\n",
       "CP3796+wPlQlnDJKRI6CgZCoiqtbty6mTZuGqKgoNG7c2GhVyIkTJ1ZQz8geIiIi4OzsjPr162PQ\\\n",
       "oEGIjIyEk5OTVW3odDqjxUzy8/Nx6NAhdO7c2aI2atWqhbNnzyIrKwvVqlUrNjiWh5YtW2LDhg3I\\\n",
       "ysrCF198gZiYGDg5OWHLli1WhUFBEHDp0iUMGjQIN2/eNDvNWiKRwM3NDa1bt8Ynn3yC7t27l7hl\\\n",
       "h0wmg0qlQlpaGtzd3a3ajsOeVCoV3N3d9VN9n9xyg4iIiIGQqIpbvXo1XF1dcfjwYRw+fNjgmEgk\\\n",
       "YiCs4s6fPw8AOHbsGNasWQPg8RTGU6dOoWHDhha1kZmZabK8Z8+eBqOEgiCYDAtisVj/jJyzszPm\\\n",
       "zp2LKVOmWHkn9tWzZ0/Url0bIpEImzZtsqkNnU6HrVu3YvDgwSUGXK1Wi8zMTPTq1QsvvPCCVSNH\\\n",
       "3t7eNvXPXoKCgqrMc5+VCUcIichR8BlCoiouNjbW7Ov27dt2ucby5csRFhYGpVKJNm3a4OTJk8XW\\\n",
       "37JlC+rXrw+lUonGjRtjz549BscFQcCMGTMQFBQEJycndOvWzewiHCUpDDHmXiqVyupngSrTy5S8\\\n",
       "vDw0atQIvr6+ePjwYYkjPuY+2/z8fOzYsUP/fu/evSbr/fDDDwajWxMmTCjpt8WIm5ubfnP14vY2\\\n",
       "fFJxX7J//vlnq/vwJJ1Oh3v37mH06NEWj3bqdDo0bNiwyn35T09Pr+guVElPwzOE58+fr7R9I6LK\\\n",
       "g4GQ6Cn18OFDLFiwoNTtbNq0CZMnT8bMmTNx9uxZNG3aFD169DD7HNmxY8cwePBgjBo1CufOnUP/\\\n",
       "/v3Rv39/XLp0SV9nwYIF+Prrr7Fy5UqcOHECLi4u6NGjB/Lz80vdX0eSmpqK4OBgyOVy1KhRA998\\\n",
       "843JkaBly5aZbaN///6oWbMmmjRpgl69epmsM3ToUIP3phZXKY5YLMY777yDt99+Gx988AEiIyNL\\\n",
       "PCc0NBRRUVF48803TR6/e/cubt26ZXEfdDodcnJykJaWhqysLKSnp2PdunXIyMiwuA2RSFTsM4OV\\\n",
       "VUlTW8m0pyEQNmvWrKK7QERVAAMhURX3xhtvmHwNGTIEn332WanbX7RoEUaPHo2RI0fimWeewcqV\\\n",
       "K+Hs7KyfvljU0qVL8cILL+DDDz9EgwYN8Nlnn6F58+b6UCIIApYsWYJPP/0U/fr1Q5MmTfDzzz8j\\\n",
       "Pj4e27dvL3V/HZFGo8G9e/cwceJEODk5Ydq0adBoNBAEAWlpadi4cWOx58fGxuLixYsmj4nFYqNA\\\n",
       "IRKJrAoZhVMzs7OzodPpEB4eXuI5UVFRaN++PVatWoXNmzebrNO8efMSR0fz8/PRt29fuLu7w8/P\\\n",
       "D23btsXatWtx8uRJbN261arn6Tp06ABfX1+L61cW9vj/gCN6GgJhocrePyKqWAyERFVcWlqawSsl\\\n",
       "JQUnT57EoUOH8OWXX5aqbbVajTNnzqBbt276MrFYjG7duiEmJsbkOTExMQb1AaBHjx76+rGxsUhI\\\n",
       "SDCo4+HhgTZt2phtkyyn0+kwf/58KBQKeHl5wc/PT7/Kpa3tmTrf39/fqMzFxQUjRozA6NGjjVbT\\\n",
       "vHHjBgYNGoQLFy7AxcUFYrH5f36cnJxQvXp1/ftBgwbBw8PDqF5WVlaxzw8+fPgQLi4u2LlzJ3Jy\\\n",
       "cpCXl4fr16/j008/xXvvvYd///3X7LlPkslkWLBggdEzulXFRx99BE9Pz4ruRpXzNAVCwPh+iIgK\\\n",
       "MRASVXHbtm0zeP3++++4dOkSZs+eXeoRt5SUFGi1WqM9DgMCApCQkGDynISEhGLrF/7XmjaBxysl\\\n",
       "ZmZmGrzIPJ1Oh4yMDLOrZlrD1N6DRadOBgcH488//8SyZcswc+ZMk3sAnjlzBteuXUPdunXh5uZm\\\n",
       "9npt27Y1KjO3VcKnn35qtp2hQ4dCp9MZlWdnZ+P27dsWB+XnnnsOEydOrNJfovft21el+0+2K3ye\\\n",
       "umfPnhXdFSKqpBgIiZ5SgwcPxqFDhyq6G3Yzb948eHh46F9PjiBR2apfv77R1Mqff/4ZH3/8MT7/\\\n",
       "/HPk5OQgLi4Ozz77LFxcXBASEmLyy2d2djYAYNiwYbh37x42bNhgFBx9fHzw999/G5377bffmuzb\\\n",
       "rVu3kJaWZlSen5+P/fv3mzxHEASLV92USqVYs2aNxc9N6nQ6aDQaqFQq5OXlmQykFaFly5YoKCjA\\\n",
       "6tWrK7orVUpVHB0016e5c+caLLhFRFSIgZDoKXXhwgVERESUqg1fX19IJBKjEaLExEQEBgaaPCcw\\\n",
       "MLDY+oX/taZNAJg2bRoyMjL0r/v371t9P2SbnJwcPP/88wZlTk5OmDNnDj755BM4OzsbnWNqr0SR\\\n",
       "SIQXX3wRLi4ucHd3x+DBg/Wj0NnZ2cjLy0NKSorJ6aROTk5m9180tXDG/PnzLby74mk0Gvzxxx8l\\\n",
       "1tu3bx8CAwOhVCqhUCigVCrh7OwMmUyGgQMHVoov4BKJBKNGjaroblQZVXnKaGF/npy6HRERUen6\\\n",
       "SUSVA/chJKriJk+ebFSWmJiIHTt2oHfv3gbHFy1aZFXbcrkcLVq0wP79+/VT9nQ6Hfbv34/x48eb\\\n",
       "PKddu3bYv38/Jk2apC/bt28f2rVrBwAIDw9HYGAg9u/fr/8in5mZiRMnTuDtt9822xeFQmH16pZk\\\n",
       "P/v379cHQEts27bNqMzT09PknnxisRguLi4lttmuXTscOHDAqPzevXs4deoUWrRoAbFYDK1Wiy++\\\n",
       "+MKiflpizJgxeO6551CrVi2Tx3fv3o0+ffqYDH2FC+pUq1YNDx484BfyKsSaoFfZfl8L/z6pVCrI\\\n",
       "5XLuQ0lExWIgJKrizp07Z7K8VatWSEpK0m8PYesXlsmTJ2P48OFo2bIlWrdujSVLliAnJwcjR44E\\\n",
       "8Hj6X0hICObNmwcAePfddxEZGYmvvvoKvXv3xq+//orTp0/j+++/1/dj0qRJ+Pzzz1GnTh2Eh4dj\\\n",
       "+vTpCA4ONvucGFUO06dPx3/+858SVwm9cuUK4uLijMoHDhxYqi/OtWrVMhkIAaBNmzYICgrCokWL\\\n",
       "MG/ePLtuYSIIAurVq4e8vDyjPRQFQcCAAQNKHAGMj49HaGgo7t27V+nCA5lWlQNhdnY2WrduDQD6\\\n",
       "Z2UVCgVUKlVFdouIKikGQqIq7uDBg2Xa/quvvork5GTMmDEDCQkJaNasGfbu3atfFObevXsGU/za\\\n",
       "t2+PDRs24NNPP8XHH3+MOnXqYPv27WjUqJG+zpQpU5CTk4MxY8YgPT0dHTp0wN69e41WprRESV/E\\\n",
       "FApFpZiuZ6vK9EVTEAQ0a9YMDx48MLkojEajwZ49e8wGpAEDBpTq+idPniy2b/Hx8XjttddKdQ1z\\\n",
       "tFotOnbsiOPHjxuUp6enWzz68uDBAwQGBiIhIaFS/b6SaVU5EALAqVOnDN4zDBKROQyERFSi8ePH\\\n",
       "m50iamrhmkGDBmHQoEFm2xOJRJg9ezZmz55try4+tdLT03Hu3Dm88MILleILXWZmJqpXr45+/foh\\\n",
       "NzcXly5dQlpaGvLz85GTkwONRmP2XFOjhqYULnrx5A8aUlNTcfny5VL3vzROnjwJnU5n0C9zC9eY\\\n",
       "k5SUBH9/fyQlJVXKEEH/r6oGQkEQ9P2pWbMmbt++Xan6R0SVDxeVIaqCXnjhBaORClOysrLwxRdf\\\n",
       "YPny5eXQKyoLHh4e6Ny5M7Kzs42mK1aUjIwM/Pzzz/jtt99w9epVJCYmIiMjo9gwCABTp04tdrRW\\\n",
       "p9Nh0aJFqFatGoKCgtC3b1/8+eefOHjwILp06VKq/RTtQRAE3Lp1y6Cs6HtLpKSkFLuAElFpFf5Q\\\n",
       "5datW9i4caO+3JIFkojI8XCEkKgKGjRoEAYOHAgPDw/06dMHLVu2RHBwMJRKJdLS0nD58mVERUVh\\\n",
       "z5496N27NxYuXFjRXaZSkkqlOHz4MNq3b1/RXbFZSkoK3n//fZOLGwmCgJEjR2LdunX60Lhz507s\\\n",
       "2bMHEomk0iyK8d5772HXrl3695GRkTa1k5SUpB+9ocqpqo4QFvXaa6+V2VRqIno6MBASVUGjRo3C\\\n",
       "kCFDsGXLFmzatAnff/89MjIyADz+YvLMM8+gR48eOHXqFBo0aFDBvSV7adu2LSQSiV02m68oixcv\\\n",
       "hr+/Pz766COD8oSEBGzYsMFoBFGr1Vaq+923b5/B+5YtW9rcVmxsLL755htMmDChtN2iMvC0BEIi\\\n",
       "opJwyihRFaVQKDBkyBDs3LkTaWlpSEtLQ3x8PPLz83Hx4kV8+eWXDINPGZFIZHZhFplMVuyUUrlc\\\n",
       "jp49e6J69epl1T2LTZs2DWPHjtUHPa1Wi48++qjEKaeVgVqtNuinVCo1uQ/jk6RS8z97NbVtDFUO\\\n",
       "VXkfQiIiazAQEj0lPDw8EBgYWGmeM6Oy8cUXX0AikejfF4bEhIQEpKamYuHChUYBJCQkBLdv38bv\\\n",
       "v/+OmJgYeHl56Y+JxWLUqlULDRo0KNcvtd999x3q1KmD33//HYsXL8avv/5abtcuibOzM5YvX473\\\n",
       "3nvP5PE333zT4P1LL71kti2xWIw+ffqY3apDo9HYdYsMsh8GQiJyFAyERESV2IIFC7Bnzx6kpKQg\\\n",
       "NzcXYrEYzz//PGQyGcRiMdzd3fHaa6/B1dUVLi4umDhxIm7evIm9e/fiwoULUKlUePDgAUJCQiCV\\\n",
       "SuHj44OwsDDI5XJ89dVX0Gq1uHnzJi5fvozc3Nxy/WIbGxuLfv364cMPPyzXZwTlcjkaNmyIoKAg\\\n",
       "o/sdNWoUcnJy8M4772DRokXIz883qvPTTz8hJCQEOTk5yM7ONrs3IvB4oZw//vgDDx8+NFvH2q1j\\\n",
       "NBoNkpOTkZWVZTDFVqfT4datW7h8+XKV3mqlsijrQOju7s5gSUSVAgMhEVElNnXqVPTu3Rv+/v5o\\\n",
       "0qQJVq9erV9WXqfTISMjA6+//joaNWqEcePGYf369cjLy8Nzzz2HJk2aQC6XG7S3ZcsWXLhwAQUF\\\n",
       "BUZ7CSoUiqf+C+l//vMf5OXl4dKlS4iPj0deXh769esHFxcXtGvXDt9//71BfYVCYXLhl/j4eLi5\\\n",
       "ucHPz6/YsAcA+fn5xY4CTps2zeL+b968Ga6urggICIC3tzfatGmDv//+G0eOHEG3bt3QoEEDtGjR\\\n",
       "AidOnLC4TSp/jRs3RlZWlv594d/T4qYXExGVFf6fh4ioCihcQn7t2rUQi8UGWzAUFBTgxo0buHHj\\\n",
       "Br777ju0bNkSUVFRRm3k5eXhjTfegE6nAwC88847GDp0KJRKJYDHG6cXHrNWYZhUqVRlOjrl5uYG\\\n",
       "f39/JCYmIjs726pz27dvj/Xr1xuUKRQKbN++HQUFBRCLxQZ7DBYKCwtD37598fvvvxuUC4Jgl+me\\\n",
       "ly5dQmpqKnx8fIqtN3jwYIOptRqNBqdOnUKPHj0gFov1zzYWFBTgp59+Qtu2bU228zSE/mnTphn9\\\n",
       "sMPeynJRmUuXLgEAR3KJqFLgCCERURWSkpKC5ORks18kBUHA6dOncefOHaNjr776qsGCKBqNBs7O\\\n",
       "zhg4cCBeeeUVhIWFWd0fiUSCIUOGYO3atRg8eDBcXV2tbsNScrkcP//8M86fP48HDx5g3bp1qFat\\\n",
       "msEzleb4+/sXO7VTJpMV286OHTvK7PlcrVaLhg0bYsWKFfjnn38QFxeHrKwsqNVqFBQU4OrVq/Dy\\\n",
       "8jL7nKVOpzNakKei92x8GpTHM4ScLkpElQFHCImquOHDh2PUqFHo1KlTRXeFyoFGoylxVEEQBDz3\\\n",
       "3HO4f/++fsTrxIkT2Llzp8m6W7dutakvIpEIe/fuRZcuXQAA3bt3h06nw7Zt25CbmwutVmvXEZB+\\\n",
       "/frhxRdf1E+rGzJkCIYMGQJBEKDT6aDT6ZCTk4OkpCRkZmYiPj4eMTExSEpKwuTJk6FQKEp1/bi4\\\n",
       "OPj7+5s8JpFI9P2wRWJiIsaNG1ea7hkwNXp68eJF9OrVy27XeNrZMkJ47tw5dOjQQV8eGRmJOXPm\\\n",
       "WHVNjhoSUXljICSq4jIyMtCtWzfUqFEDI0eOxPDhwxESElLR3aIyYumefPHx8QgNDcX06dOxadMm\\\n",
       "qxcuscSECRPQrVs3/XsfHx988803+M9//gO1Wo2wsDBotVps2rQJ33zzjUVTPJ2cnFCjRg1kZmYi\\\n",
       "OTkZGo0GEokEXbp0wS+//GLyGSuRSASJRAKJRAJPT094enrqj/Xt2xdqtdrkVFBr+fn5oUOHDkbT\\\n",
       "cT08PLBlyxY0a9YMarUaN2/exG+//YaNGzciNTW1xHbFYrHNQdKcffv2oaCgQD+qmZaWhg4dOiAz\\\n",
       "M9Ou13ma2RIIc3NzER0drS+Pjo4uNhA+Gf44QkhEFYWBkKiK2759O5KTk7Fu3Tr89NNPmDlzJrp1\\\n",
       "64ZRo0ahX79+3IbCgcXFxWH8+PFltrH7lClTjMpcXV3RqVMniMVi/Z+9Ro0aYejQoejatWuxC7DU\\\n",
       "qlULmzdvRr169aBWq3H69Gls3rwZnp6e+OCDD2x+Zkwmk9lt1OXHH39E7dq1Dcq6d++OyMhIff9C\\\n",
       "QkLQsWNHfPzxx2jevDkSEhLMtqdQKODm5oZHjx7ZNRRmZGTg/v37qFmzJgAgOTkZKpXKbu07AlsC\\\n",
       "obOzMyIiIvTlkZGRZdI3IiJ74jOERE8BPz8/TJ48GRcuXMCJEydQu3ZtDB06FMHBwXjvvfdw48aN\\\n",
       "iu4iVRBLppiaIxKJ0LRpU7Rs2dJoZG7ixIkmR6JFIhGUSiXkcrn+C7VEIkGDBg0QHx+PBw8eGKxu\\\n",
       "KhKJ0KlTJ+Tm5uLmzZto3rw5XFxc4OXlheeffx6rVq3CwoULERAQYNM9FF7DUrm5uUhKSjL7mdWq\\\n",
       "VQvbt2/Xb/vRtm1brF+/3iisisViBAUF4eHDh2jcuLHJtgYPHozMzEw8fPgQixYtsvyGLKDVatGo\\\n",
       "USNcvnwZ+fn5kMlkqF69OkehylhERASioqL0L2umixIRVRQGQqKnyMOHD7Fv3z7s27cPEokEvXr1\\\n",
       "wsWLF/HMM89g8eLFFd09qkKcnJyQn5+P8+fP49SpU1Cr1fjnn38wefJknD17FkuXLrWp3ZCQEGRm\\\n",
       "ZkKlUumfMzx8+DCcnJzsfAeGcnNzSxyBy8zMhJeXFwICAiCXy3Hx4kWT9fr164dHjx7h3r17iI6O\\\n",
       "LnEU/sKFC3B2djYomz9/PjZs2AC5XA6pVIp3330XMTExdg1seXl56Nq1K7KzsxEaGopz585h9+7d\\\n",
       "dmv/aVdei8rIZDIGdSKqUAyERFVcQUEB/ve//+HFF19EjRo1sGXLFkyaNAnx8fH46aef8Pfff2Pz\\\n",
       "5s2YPXt2RXeVqoh69eohJyfHYNRLJBKhcePG+OqrrwymxNlKLpfDycmpXL4IazQafPrpp9i2bVux\\\n",
       "9dq0aQO1Wq0/p0mTJmZHCl1dXRESEmLRs4kikQgZGRlo27Yt/P39cerUKUydOtWoXtu2baFWq/H8\\\n",
       "88/b5ZlHAEhKSoJcLodEIoGrqyt69uxpl3YdQVkGwif/XD25QiwXlCGiisBnCImquKCgIOh0Ogwe\\\n",
       "PBgnT55Es2bNjOo899xzBgttED1p1KhR+O677yzavqEq+vLLL7F06VIsXboUHh4eSEtLM/kF/tat\\\n",
       "W0ZlUqlUv0dhaUilUsTExFhU76+//tK/12g02LdvH/r27Wu0tYQlnJ2d4e7ubvV59FhZ/sCC4Y+I\\\n",
       "KguOEBJVcYsXL0Z8fDyWL19uMgwCgKenJ2JjY8u3Y1QlyGQyrFq16qkNg8DjPQQLZWRkoG7duibr\\\n",
       "mfr7o9PpsGnTJoMytVqNEydO4O7du3btpylSqRQ9e/bE6dOnbTr/jz/+sHOPHEd5TBklIqoMGAiJ\\\n",
       "qrihQ4dCqVRWdDeoinKE55fq169v8P7mzZs4f/68Ub3o6Gh4eHgYlf/1119Qq9XQarU4e/Ys/Pz8\\\n",
       "0LZtW4SFhSE0NLRcNoFv0qSJ1fsodurUyWBPvEKCIFT5l0KhKPOAxkBIRI6CgZCIqBLr2bNnmU73\\\n",
       "zc/Pt/seeOaUxfYXa9asQb9+/ZCcnGx2Cp6pBZVMbdAuk8mQlpaGPXv2wN/fHwqFAn369NGvFJmQ\\\n",
       "kID+/fsb7OV3//59KBQKXLhwwU53ZJpIJEJQUJDJYy4uLmjatCnq1q0LHx8f1KpVC6dPn8bhw4fL\\\n",
       "tE9POwZCInIUDIRERJXYnj17kJaWhkOHDpVJ+zqdrsRn23JyclCnTh14e3tj3759JutotVr897//\\\n",
       "RceOHbF582b9qJlWq8XChQshk8kglUohlUoxefJkg3AoCAJ+//13eHp6QiaTITAwEImJiSX2vW/f\\\n",
       "vhg1ahR+//13+Pv7G+0PWMjT0xPh4eEGZRkZGSYDpEgkQs+ePZGYmIj8/Hz8/vvvCA4Ohlwuh5eX\\\n",
       "l37RmScJgoBmzZqhdu3aZbbnIwCjBWEkEglu376N7OxsnD9/HteuXUNKSgpu3ryJFi1alFk/iIjo\\\n",
       "6cJASERUBURGRuLbb78tk7ZffPFFs8d0Oh08PDxw8+ZNpKWloXv37ti6datRHScnJ8yaNQtRUVF4\\\n",
       "9dVXIZfLoVAooFAoMGXKFP2CKFqtFosXL4ZcLkejRo0QEREBmUyGfv36ISMjAxqNBomJiQgKCkJe\\\n",
       "Xp7ZfgmCgF27dhmU3b592+z0zevXrxtMrbZlX0NnZ2dMmjTJ7PFbt25BKpUiIiICCQkJ0Gq10Ol0\\\n",
       "0Gg0KCgoKPVI7GeffQY3NzdIJBK0bt0aKpXKKOiS/XCEkIgcBQMhEVEVMXbs2BL3vLNFeno60tPT\\\n",
       "TR779ttvjUa9XnnlFYP3n3/+uckgVvjcnSk6nQ7//vsvzp8/b7KOIAjFbm+hVqvNjvCZIpVKkZCQ\\\n",
       "gLCwMHh6emLKlCk2fYn/4IMPSnyW7/z58wgKCoJUKoVEIoFMJtPvN+jh4YG9e/fatMKkj48PUlNT\\\n",
       "kZeXhxMnTjzVCwFVBgyEROQoGAiJiKqQb775pkzafe+990yWf/TRR0ZlWq3WYAuEsurT9evXzQYn\\\n",
       "lUplVFa9enVIpeZ3U/Lw8MClS5ewZ88evPbaazb1SSqV4pdffrHpXEEQkJmZiZ49eyIwMBAZGRlW\\\n",
       "tyGTycrkhwJkjIGQiBwFAyERURVia5Apyfr1643KBEFAdnZ2ieeaCmeFxGKxzV+WBUEw23Z2drbB\\\n",
       "3oAffPABbt68WWKbLi4uaNu2rcnVRC01YMCAUu9LmJSUhKZNm9q0t6ClcnJycP/+fSQmJiIrKwu5\\\n",
       "ubnIzc0ts+s9bRgIichRMBASEVUhxY2AlUZBQQHi4uIMyp7cv6+oJ6crurm5mawTEBCA1NRUZGRk\\\n",
       "oE+fPgZfmsViMV588UWcPXsWv/32G1xcXIzOF4lEZp8JjImJgVKphEKhwLx587Bw4ULI5fJi7/HJ\\\n",
       "dkvzBV4sFsPJycnm8wv7oFKpkJ+fX6p2TPnuu+8glUrh6uqK0NBQBAYGwt3dHS4uLiY/ZzKNgZCI\\\n",
       "HAUDIRFRFWLJiJ2t5s6da/D+/fffN1mv6Bdgd3d3k/WWL18OT09PuLm5YcuWLejSpYt+sZnXX38d\\\n",
       "mzdvRkREBAYMGIDz588bPZunVCpNBmCVSoW//voLzs7OaNGiBSZOnGjtrZaaLc8AFhKJRFAqleje\\\n",
       "vbvd9xC9fPky3nnnnTJd7ZSIiJ4uZfOjZiIiKhPz588vs7ZXrFgBLy8vjB07FkOHDsXt27dN1isa\\\n",
       "0ry9vY3qiMViDBw4UP9eoVDg77//1gepJwOlSCRC7dq1kZ+fj6SkJKxevRpBQUEYOHCgPjDpdDrE\\\n",
       "xcXhvffew759+6BWq1GrVi3s2bMHzs7OpbpvQRCQnp6OgoIC+Pn5lTjao9FobJ562bBhQ/z2228I\\\n",
       "Dw+HXC6368jSlClTsHDhQru15+isGfnjCCERVWUMhERElZwgCNDpdLh+/TpWrVpVpteaM2eOfiN2\\\n",
       "cwIDAw3ex8fHG9Uxt61DSV+c/f398fHHHxuUqdVqtGrVCv/8849BuYeHR6meBSx0584dNGjQACqV\\\n",
       "CgqFAv/88w/q1q1rtn79+vVtuo6zszPOnDlT4iqlTxIEAZs3b8aJEycwe/ZsuLq6mqw3c+ZMhkE7\\\n",
       "YyAkIkfBKaNERJWYWCyGVCqFQqFA06ZNi92br7wUXXm06LOHAIrdMsJacXFxRmEQALy8vOzS/oQJ\\\n",
       "E/SL16hUKtSrVw9nz541WXfUqFG4deuWTddxd3e3KgwCQLVq1fDaa69h8eLFcHNzw9q1a43q/PTT\\\n",
       "T5g9e7ZNfSLz+AwhETkKBkIiokqscHRQq9WioKAAMpkM/v7+FfoFdMyYMQb9M7XwS9euXe12vWvX\\\n",
       "rpkst3WkrqjDhw8blbVv396oLD8/H2vWrLH5OikpKVZtTh8eHm40+vrGG2+gYcOGSEtLQ1ZWFp57\\\n",
       "7jmMGDHC5j6ReQyEROQoGAiJiKqQ559/Hnfv3kVsbGyptz6wxcaNGw2eITS3SmbRzetLw9zqoX36\\\n",
       "9CnxXEsWfzH1PKCpje/VarXJ86VSKcaMGYNPP/202BFAjUaD3bt3l9gftVoNHx8f3Llzx+Txy5cv\\\n",
       "w9vbG+7u7jh06FCJ7ZFtGAiJyFEwEBIRVSFffPEFlEolatSoYfGG8J6ennj//fdx5MgRHDt2DB9/\\\n",
       "/LFNX2B79+5ttA+iqXYkEglCQkKsbt+c5s2bmyxv1qyZ2XMEQcAbb7wBb29v/Pe//zVbT6fTmRy1\\\n",
       "8/LyMro3d3d3vPTSS/r3MpkMhw8fRkFBAb777jt89tlnyM3NLTYU9u/f32iKrSAIyMrKwrZt21C9\\\n",
       "enUoFAo8evTIbBtERET2xEBIRFSFPLntxNChQ4utO27cOAiCgLS0NHz55Zfo2LEj2rVrhzlz5kCn\\\n",
       "0+HGjRsWX1cul2PXrl1G5UqlEl26dNG/b9u2LQoKCuw6YuLp6WkyZJlbXVSr1UIqlWLt2rVIT0/H\\\n",
       "rFmzMGjQIJN1zT3rmJycbLJ869atEAQBgiBArVajU6dOBsfFYjG+++47s/ei0+lQrVo1g5ElsVgM\\\n",
       "d3d3DBgwAA8ePDB7LpUvjhASkaNgICQiqkKGDx+u/7WphVYKSSSSEkcQa9eubfL5OXPtmfPXX3/h\\\n",
       "9OnTePToEWJiYgy+HGu1WtSrVw8KhQJDhgyx6FqmvPPOO0Zl9+7dM1m3Zs2aRqN+27ZtMyo7d+6c\\\n",
       "yc+wU6dOpZqO+8knn9h8rrWkUin69u2LJUuWYPDgwfDw8GA4sRMGQiJyFAyERERVyNWrV3H48GGk\\\n",
       "p6fj9ddfN1uvSZMmFn1J7dSpk8mVK4vKy8szuyCKRCJBixYtTK76+eWXX+L69etQq9VYv349atas\\\n",
       "WeK1TOnZs6dRWbNmzZCWlqZ/LwgCJkyYYDIoarVajBw5ElqtFjqdDmvXrjU7FfXPP/+0qY/A40Vf\\\n",
       "TK26Wha8vLygUqmwY8cOvPvuu9iwYQPS09ORnZ2N6tWrl0sfnmYMhETkKLgPIRFRFfP8888jKCgI\\\n",
       "9+/fN1vHmkVdRowYAR8fH/Tr16/YRViaN2+O8+fPW9NV7Ny50+B9bGwsDh8+jMjISKvaWbFihVFZ\\\n",
       "dnY2vL294ebmBjc3N2RlZSErK8tsGz///DN+/fVXaLVaaLVak3XkcjmUSqVVfQOAxMREVK9e3eSK\\\n",
       "q2UlLi7O5Eims7Mzrl+/DldXV7P3SSXjPoRE5Cg4QkhEVMUUFBTg3r17xYY3azds79OnD65fv26w\\\n",
       "gmhRFy5cQMeOHQ1CRkFBATQajdlz3nvvPaOyiRMnWtW3goIC7Nixw+zxrKwsxMfHFxsGC6nV6mJD\\\n",
       "krlRw+KMHz8egYGB5RoG5XI5nJyczB5XKpVwd3cvt/48rTg6SESOgIGQiOgpdOTIEavPqV27Nlav\\\n",
       "Xl1snaioKMhkMri4uMDFxQXu7u7o0aOH2emkAwYMMHr+0Nvb2+I+CYIAT09Pi7aPsIfU1FSjMo1G\\\n",
       "Y3bK7EcffYTly5eXR9cMWPI8pqenZ9l3hIiIqjwGQiKip1DRqZqWEAQBwcHBxS4gU1gvNzcXubm5\\\n",
       "yM/Px6FDh5CZmWmyrkgkQk5Ojn40SyKRYPPmzRb3ycvLy+Q+gWXl5s2b+Oijj5CUlIR//vkHCoUC\\\n",
       "MpkMzs7OkEqlaNq0KZKTk6FWq7Fnzx4sWLCg3PpWSCQSYdmyZSXWk8lk5dCbpxefISQiR8FASET0\\\n",
       "FMrJybFqL7v8/HxMnjwZ/fv3t/q5M5FIVOz0RYVCgdzcXKSmpiI7Oxt+fn4WtRsWFoaMjAyr+hIQ\\\n",
       "EFCqICQIAr744gsEBASgadOmBpvRC4KAf/75B2FhYZgwYQKmTZtWbiOXMplMPzK7bdu2Yj/vQnx+\\\n",
       "sHQYCInIUTAQEhE9pUJDQy2qN2zYMDg5OWHJkiU2jcZNnDix2M3YC3l7e1u8YMv9+/dx9+5di/sg\\\n",
       "lUoxfPhw3L17F1evXi3VthEl0Wg06NChA77++mvUqlWrzK5TSCKRYMSIETh58iQePnyIfv36WXSe\\\n",
       "uVFbsgwDIRE5CgZCIqKnVE5OTonPmvXr1w/r1q2zqX25XI4DBw5g0aJFNp1fnD59+lhVf9y4cVi1\\\n",
       "ahUUCgVq1qxpclXSQs7OzjYHRpFIhL1792Lo0KGIjIzEzZs3kZKSgldffRXBwcGoUaMGOnbsiCZN\\\n",
       "mhS7QI81tFotLl++DD8/P7i4uFh83pNbcpD1GAiJyFEwEBIRPcXWr1+Pc+fOmTym1Wrx+++/W92m\\\n",
       "SCTCp59+ivz8fDz33HOl7aIRQRBw/fp1q84ZP368wVTRMWPGQC6XG9QRi8VITk5GdnY2Hjx4YPWX\\\n",
       "eJlMhpSUFKN79vHxwa+//oq4uDjcuXMHR44cwYULF5Cbm4ugoCCrrmFOdHQ0WrVqhaNHj1o0TTUl\\\n",
       "JaXY1V+pZAyEROQoGAiJiJ5yzZs3N7l65sWLF21qb8OGDfjss8+s+hJcuBBNZmZmic+2LV++HCqV\\\n",
       "CsDj6ZIjR47EgwcPcOXKFfj7+5s8JykpyeC9SCTC0aNH9e/FYjGys7Ph6+sLkUiEoKAgi6d7yuVy\\\n",
       "7Nq1C2q12qoVUmUyGa5cuWK36asPHz5E586dERgYaHS/TyooKEBwcLBdrunIGAiJyFEwEBIROQBf\\\n",
       "X1/cunXLoMza/QABwM/PD4MGDTJ7XKfTIScnB7dv38b69evRqVMnODk5QSKRwMXFBR4eHpBKpZDJ\\\n",
       "ZOjcuTPOnTuHrKwspKenY/PmzfDw8MCECROg0+mgVCpx9+5drFmzBiEhIahfvz5u3bpl8sv366+/\\\n",
       "brSITosWLdCrVy+Eh4cjMTHRaCGWtWvXFnuvNWrUgFqthkqlQu/eva34lP6fh4cHXnzxRZvONScp\\\n",
       "KQkBAQFwcXHBZ599hjt37iAlJQVXrlxBr169oFAoit0T0dqgUxlfKpUKgiAU+yIiIsvY5wEHIiKq\\\n",
       "9GrXro3WrVvjzz//xJEjRxAVFWV1Gw0bNjQZyB48eIDnn38e169fN7sn4ZM0Gg0OHz5c7Ebwnp6e\\\n",
       "CAkJMSgrfP6v6CjjnTt3EB4ejpSUFP3UUa1Wi4kTJyIsLAy+vr5G7Tdv3hxisdigv2KxGLNmzcLH\\\n",
       "H39st5G9tWvXol69ekhNTbVrUMnNzcWMGTMwY8YMu7VJ/8+akT+OEBJRVcZASETkQE6ePAkvLy+z\\\n",
       "x8VisX7PvdzcXBQUFOhDjFQqRePGjaHRaCCXyyEIAh4+fIjmzZsjMTHR7n01teVEVlaW2SmnmZmZ\\\n",
       "cHNzw+jRoxEaGordu3cjKSkJ77//PurWrWv0pV0kEmHQoEGIjo5Gu3btsGLFCpPBsbS8vb1x+PBh\\\n",
       "DBo0CFevXrUoMFPFYyAkIkfBQEhERHoikQheXl5o3749AgIC9AuliMViREZGYtSoUSgoKEB6ejre\\\n",
       "eust7Nixo8ym5+Xl5eHatWuoV68egMcjfo0aNSr2HJVKZbRp++jRo/HLL79g27ZtcHNzg1arxd27\\\n",
       "dxEdHY23334b69atK/NN3J955hlERUWhXbt2uHbtWplei+yDgZCIHAUDIRFRFSSVSqHVau0exrRa\\\n",
       "LeLi4pCXl4fp06fD29tb/2VXJBJBEARotVqsWrWqTMNgoQYNGuD5559HQEAANm/erF9sxhqCIODQ\\\n",
       "oUNGI6NisRjTp09HZGSkvbpbLC8vL2zcuLHYabJUeTAQEpGj4KIyRERVjFgsRv369eHu7l4m7et0\\\n",
       "Ohw/fhxeXl4Qi8UGX4xFIhGkUimUSmW5LNwhCAL++usvrFu3zqYwWBydTof58+eX6wIkjRs3ttuz\\\n",
       "iUXJ5XLMmTMHd+/exb1797Bq1Sr4+fmVybUcAVcZJSJHwUBIRFTF6HQ63LhxA9nZ2UbH7PXlNDU1\\\n",
       "tdjgMmDAgFJfozJQqVT4+++/7dqmWq3G4MGD8cILLxg9W1lWYfC7776DSqXCxx9/jNDQUFSvXh1v\\\n",
       "vvkmkpKSoFKp8Morr5TZtYmIqGrjlFEioirI1GiZVCpFgwYN8PDhQ6SkpJSq/ZL2CvTz84NCobD7\\\n",
       "qF1FeOGFF5Cfn2+35wh9fX2RlZUFAAgMDMSUKVMwf/58iEQiJCYm2nVRGXd3d9y/f7/Y0WK5XI5N\\\n",
       "mzZBEARkZmbC09PTbtd/mnHKKBE5Cv64kIjoKeHi4oKXX34ZgYGBdmmvuFAoEokwZswYu1ynoul0\\\n",
       "Ojg7O+P06dPIz8/Hv//+i1q1akGhUODMmTNWtaXVavVhsNCCBQvg5eWF999/Hw0bNixVX+VyOV56\\\n",
       "6SWcPHkSKpUKGRkZFk8dFolE8PDwKNX1HQmnjBKRo+AIIRHRUyIvLw+nT59GfHy8Xdo7cOAAunfv\\\n",
       "bvb44MGDsXHjRqSnp0MikcDPzw9NmjSBSCTC8ePH8ejRoyqzQbhGo0GrVq2Mylu3bo2CggKLp1sW\\\n",
       "PnNZ9L4zMjKwaNGiUvVx69ateOmll0rVBlmOI4RE5Cg4QkhE9JRQq9XYs2cPHj16ZJf2evbsaTTa\\\n",
       "BTwOT+fPn8eqVavQqFEjTJkyBdeuXUNsbCx27dqFnTt34sGDB9iyZQvCwsIgk8mq7CiKTqfD3bt3\\\n",
       "La4vEonQpEkTu/ejefPmdguDgiBU+ZdCoSjzETuOEBKRo2AgJCKTCgoKMHXqVDRu3BguLi4IDg7G\\\n",
       "sGHDLBp9Wr58OcLCwqBUKtGmTRucPHnS4Hh+fj7GjRsHHx8fuLq6YuDAgWWysfnToFGjRnB1dbW4\\\n",
       "fknP/llDp9PB3d0d7u7uqFGjBjw9PSGTySCXyxEREYEff/wRFy9eRP/+/REaGgqpVKr/cqxUKjFw\\\n",
       "4EDExsZCpVJBo9HoX/n5+Th8+DCcnJzs1teyNHv2bKvqWzvN1BLfffed3duk4jEQEpGjYCAkIpNy\\\n",
       "c3Nx9uxZTJ8+HWfPnsXWrVtx7do19O3bt9jzNm3ahMmTJ2PmzJk4e/YsmjZtih49eiApKUlf5733\\\n",
       "3sPOnTuxZcsWHD58GPHx8U/NqpX2dvHiRWRlZeHRo0eQSCQV0oesrCzcu3cPGRkZ0Gg0+umQgiAg\\\n",
       "NTUVFy5cKPYLsUgkglgshlgshkQigUKhQKdOnZCVlQWFQlHseZXB//73P6vqSyQSvPvuu3btw+7d\\\n",
       "u+3aHhERUSEGQiIyycPDA/v27cMrr7yCevXqoW3btli2bBnOnDmDe/fumT1v0aJFGD16NEaOHIln\\\n",
       "nnkGK1euhLOzM9asWQPg8bNUP/zwAxYtWoQuXbqgRYsWWLt2LY4dO4bjx4+X1+1VOV5eXvjwww8r\\\n",
       "uhsm2bptg0QiQadOnUweK9zvsDLIzc21+pzp06fbtQ+rVq0q1fmF4f3cuXN26tHTjyOEROQoGAiJ\\\n",
       "yGIZGRkQiURml61Xq9U4c+YMunXrpi8Ti8Xo1q0bYmJiADyeTldQUGBQp379+ggNDdXXIdPmzZuH\\\n",
       "9u3bV3Q3jGzdutXmxWO2b99u9tgLL7yAnj17mv2y3b17d0RHR2P69OllOnqq1WqRmZlp1Tk+Pj52\\\n",
       "3fcvLi4ODRo0sGlK8NKlSyEWi+Hr64vmzZvbrU9POwZCInIUDIREZJH8/HxMnToVgwcPNrvMfUpK\\\n",
       "CrRaLQICAgzKAwICkJCQAABISEiAXC43CpVP1jFFpVIhMzPT4OWIoqOj8fXXX1d0NwwUFBTYvJ2C\\\n",
       "s7Mz5HK5yWObNm3Cnj17kJuba7RH4K5du/Dnn3+iffv2mD17NjQaDXQ6ndm2SqtatWpWn2PvkHr1\\\n",
       "6lVIpVJIpVLk5ORYdI6npycmTZpk1344EoZBInIEDIREBABYv349XF1d9a+jR4/qjxUUFOCVV16B\\\n",
       "IAj49ttvK6R/8+bNg4eHh/5VvXr1CulHZTBhwgSMGjWqorth4MqVK7hx44ZN577wwgtGZYUL0wDQ\\\n",
       "L1DzpJYtW5o858KFCzb1oSRZWVlISUmxuP6///6LgoKCMumLVquFn59fiaOyGzZsQEZGRpn0wRGU\\\n",
       "5wghwyURVSQGQiICAPTt2xfnz5/Xvwq/cBeGwbt372Lfvn3FboLt6+sLiURitGJoYmKifrP0wMBA\\\n",
       "qNVqpKenm61jyrRp05CRkaF/3b9/38Y7fTqsXr0aiYmJ6Nu3r9HoWUWpV68edDqdyWP5+fm4fPky\\\n",
       "NBqN0bG5c+calRUNO0X/bJjbWqN+/fqWdtdq4eHhxR4XBAEpKSno0qULGjVqVGb9AB5/nua2w9Bq\\\n",
       "tVi4cCFef/31Mu3D0668AiFDIBFVNAZCIgIAuLm5oXbt2vqXk5OTPgzeuHEDf//9N3x8fIptQy6X\\\n",
       "o0WLFti/f7++TKfTYf/+/WjXrh0AoEWLFpDJZAZ1rl27hnv37unrmKJQKPRbIBS+HJ2/vz927NgB\\\n",
       "lUqFX3/9taK7A0EQTE4dzc/Ph7u7Oxo2bAi5XI4DBw4YHPf39zfZlkql0r9fu3atwfEff/zRbD/M\\\n",
       "PeNas2ZNdO/eHc7OzsXchXnZ2dl44403jMpTUlIQGBgIsVgMPz8/HDx40Kb2rVG7dm24u7tDrVbj\\\n",
       "xo0baNmyJRQKBSQSCaRSKaZMmVLmfXjalUcg7NWrl517TURkPQZCIjKpoKAAL7/8Mk6fPo3169dD\\\n",
       "q9UiISEBCQkJUKvV+npdu3bFsmXL9O8nT56MVatW4aeffsKVK1fw9ttvIycnByNHjgTwePXSUaNG\\\n",
       "YfLkyTh48CDOnDmDkSNHol27dmjbtm2532dl5+zsDBcXF3h4eKBt27YmR4VEIhFeffVVvPzyyxXQ\\\n",
       "Q0NXr141Gr2bM2eOfvqkIAjo2rUr3n//ff0o4OHDh0229eabb0KtVuPo0aNGUx+LBsQnFd0HUKFQ\\\n",
       "ICcnB7du3cKff/6JnJwcJCcn2/S84dq1a+Hl5YW1a9di/vz5cHFxgZ+fX7ntoykWi3Hw4EFcu3YN\\\n",
       "3t7eKCgoQEREBM6cOQO1Wm12hJbKx7lz59ChQwf965NPPim2/h9//AHAeESciKg8VY41vYmo0omL\\\n",
       "i8Pvv/8OAGjWrJnBsYMHD6Jz584AgFu3bhk8W/Xqq68iOTkZM2bMQEJCApo1a4a9e/caLDSzePFi\\\n",
       "iMViDBw4ECqVCj169MCKFSvK/J6qory8PP2vT5w4gbCwMBw4cADPPfecUd3vvvsOv/32W7n0SyQS\\\n",
       "mf0S27FjR/z777/699HR0UZ1Fi1ahDVr1qBPnz7YsmWLyXY2bNiAQ4cO4eHDh0bHUlNTzfatZs2a\\\n",
       "2L17N8aOHYshQ4Zgzpw5RiM4vr6+yMvLg1KptPpZv/T0dJMjhdYSi8Xo0KEDWrVqhd9++83sFNBC\\\n",
       "7u7uSEtLM1i9VKlU2rQtBpXMmpG/wnq5ubkGf96jo6MxZ86cYs+x956VRETWYiAkIpPCwsIs+qn1\\\n",
       "nTt3jMrGjx+P8ePHmz1HqVRi+fLlWL58eWm66LC6d+9uMsSUxzTa5s2bIzo6GnK5HMePH8ezzz5r\\\n",
       "VOf69esG7zt27GhyGmV6ejrWrVtn9lqCICAuLs7ksZJGwnr16lXsfpnA40B2/vx5m1dILQ2JRIIH\\\n",
       "Dx7on4384osv0K1bNxw6dMjsOSkpKUZbWZTldhuOzpZA6OzsjIiICH15ZGSkyfouLi76Xy9ZssT2\\\n",
       "ThIR2QGnjBIRVTEajcbkfnT23PfOlHnz5uHMmTNQKpUQi8Vo3769ydENrVZr8MMEe4ymmWKPaXYN\\\n",
       "GjSwQ0+sN2HCBIOFciQSCRYuXGi2voeHh9nFg6RS/my3LNjyDGFERASioqL0L3Ojg0+O6hYNniKR\\\n",
       "CHv37i3bmyMiegIDIRFRFVTe0wQlEgmmTp1qVP7ZZ5+ZrP/kF9yi+1JWJhW11P/bb79tVObt7W22\\\n",
       "ft26dc0eK9yeg+yrLBeV6dKlS7HHTW3FQkRUVvhjRSKiSsyaUTCxWFzui1O4ubmVeE2lUlmpF82o\\\n",
       "LAux1KxZ06bPKTMzswx6Q7ZMGbXUk6ssF22jMv9dIaKnE0cIiYiIiIiIHBRHCImIiIiKKMsRQlM4\\\n",
       "MkhEFYWBkIiIiKiI8g6EREQVhYGQiIiIqAgGQiJyFAyEREREREUwEBKRo2AgJCIiIiqCgZCIHAVX\\\n",
       "GSUiIiIiInJQHCEkIiIiKoIjhETkKBgIiYiIiIpgICQiR8FASERERFQEAyEROQoGQiIiIqIiGAiJ\\\n",
       "yFEwEBIRERGZwKBHRI6Aq4wSERERERE5KI4QEhERERXBKaNE5CgYCImIiIiKYCAkIkfBQEhERERU\\\n",
       "BAMhETkKBkIiIiKiIhgIichRMBASERERFcFASESOgoGQiIiIqAgGQiJyFNx2goiIiIiIyEFxhJCI\\\n",
       "iIioCI4QEpGjYCAkIiIiKoKBkIgcBQMhERERUREMhETkKBgIiYiIiIpgICQiR8FASERERFQEAyER\\\n",
       "OQquMkpEREREROSgOEJIREREVARHCInIUTAQEhERERXBQEhEjoKBkIiIiKgIBkIichQMhERERERF\\\n",
       "MBASkaNgICQiIiIqgoGQiBwFVxklIiIiIiJyUBwhJCIiIiqCI4RE5CgYCImIiIhMYNAjIkfAQEhE\\\n",
       "RERUBEcIichRMBASERERFcFASESOgoGQiIiIqAgGQiJyFAyEREREREUwEBKRo+C2E0RERERERA6K\\\n",
       "I4RERERERXCEkIgcBQMhERERUREMhETkKBgIiYiIiIpgICQiR8FASERERFQEAyEROQoGQiIiIqIi\\\n",
       "GAiJyFFwlVEiIiIiIiIHxRFCIiIioiLKcoTQVH2xWAytVmtVO0RE9sARQiIiIqIiCgOhpa/S0ul0\\\n",
       "GDhwoB16TkRkHQZCIiIioiLKMhAKgmDwCgkJAQBs3bq1LG6FiKhYnDJKRE+9WbNmVXQXiKiKsWXK\\\n",
       "6Llz59ChQwd9eWRkJObMmVPi+YmJibZ1kojIDhgIiYiIiIqwJRDm5uYiOjpaXx4dHV1iIDx//jw0\\\n",
       "Gg2AxyOHRETljYGQiIiIyA6cnZ0RERGhfx8ZGVniOYX1XV1dy6xfRETFYSAkIiIiKsKWEcKIiAhE\\\n",
       "RUVZdQ0AkMvlyMrKsr6TRER2wEVliMgiY8eOhUgkwpIlS0qsu3z5coSFhUGpVKJNmzY4efKkwfH8\\\n",
       "/HyMGzcOPj4+cHV1xcCBA/kMDRFVKmW5qExCQoL+HLFYDJVKVRa3QERkEQZCIirRtm3bcPz4cQQH\\\n",
       "B5dYd9OmTZg8eTJmzpyJs2fPomnTpujRoweSkpL0dd577z3s3LkTW7ZsweHDhxEfH48BAwaU5S0Q\\\n",
       "EVmlLANhUFCQ/tdeXl7w9fWFr68vRo8ebe/bICIqEQMhERUrLi4OEyZMwPr16yGTyUqsv2jRIowe\\\n",
       "PRojR47EM888g5UrV8LZ2Rlr1qwBAGRkZOCHH37AokWL0KVLF7Ro0QJr167FsWPHcPz48bK+HSIi\\\n",
       "i5XHHoSpqan61+rVq+3UcyIiyzEQEpFZOp0OQ4cOxYcffoiGDRuWWF+tVuPMmTPo1q2bvkwsFqNb\\\n",
       "t26IiYkBAJw5cwYFBQUGderXr4/Q0FB9HSKiilae+xA++SIiKm9cVIaIzPriiy8glUoxceJEi+qn\\\n",
       "pKRAq9UiICDAoDwgIABXr14F8PjZGblcDk9PT6M6CQkJZttWqVQGz9lkZmZaeBdEREREZA5HCIkI\\\n",
       "ALB+/Xq4urrqX4cPH8bSpUvx448/lnpKlD3MmzcPHh4e+lf16tUruktE9BQryxFCIqLKhIGQiAAA\\\n",
       "ffv2xfnz5/WvY8eOISkpCaGhoZBKpZBKpbh79y7ef/99hIWFmWzD19cXEonEaMXQxMREBAYGAgAC\\\n",
       "AwOhVquRnp5uto4p06ZNQ0ZGhv51//79Ut0vEVFxGAiJyFFwyigRAQDc3Nzg5uamfz9mzBj06dPH\\\n",
       "oE6PHj0wdOhQjBw50mQbcrkcLVq0wP79+9G/f38Aj59D3L9/P8aPHw8AaNGiBWQyGfbv34+BAwcC\\\n",
       "AK5du4Z79+6hXbt2ZvunUCigUChKc4tERBazZR9CIqKqiIGQiEzy8fGBj4+PQZlMJkNgYCDq1aun\\\n",
       "L+vatSteeuklfeCbPHkyhg8fjpYtW6J169ZYsmQJcnJy9CHSw8MDo0aNwuTJk+Ht7Q13d3dMmDAB\\\n",
       "7dq1Q9u2bcvvBomIisFASESOgoGQiErl1q1bSElJ0b9/9dVXkZycjBkzZiAhIQHNmjXD3r17DRaa\\\n",
       "Wbx4McRiMQYOHAiVSoUePXpgxYoVFdF9IiKTGAiJyFEwEBKRxe7cuWNR2fjx4/UjhqYolUosX74c\\\n",
       "y5cvt2PviIjsh4GQiBwFF5UhIiIiIiJyUBwhJCIiIiqCI4RE5CgYCImIiIiKYCAkIkfBQEhERERU\\\n",
       "BAMhETkKBkIiIiKiIhgIichRMBASERERFcFASESOgquMEhEREREROSiOEBIREREVwRFCInIUDIRE\\\n",
       "RERERTAQEpGjYCAkIiIiKoKBkIgcBQMhERERUREMhETkKBgIiYiIiIpgICQiR8FVRomIiIiIiBwU\\\n",
       "RwiJqEoSBKGiu0BElVxp/j+RlZVl8chfVlaWzdchIqpoDIREVCVlZWVh1qxZFd0NIqrEsrKy4OHh\\\n",
       "YdU5LVu2RHR0NKpXr2719Vq2bGn1OUREFU0k8MfsRFQF6XQ6xMfHw83NzaGf38nMzET16tVx//59\\\n",
       "uLu7V3R3Kgw/h8f4OTwmCAKysrIQHBwMsdj6p2MmTZqE06dPW3VOy5YtsWTJEquvRURU0RgIiYiq\\\n",
       "sMzMTHh4eCAjI8OhAwA/h8f4ORARkbW4qAwREREREZGDYiAkIiIiIiJyUAyERERVmEKhwMyZM6FQ\\\n",
       "KCq6KxWKn8Nj/ByIiMhafIaQiIiIiIjIQXGEkIiIiIiIyEExEBIRERERETkoBkIiIiIiIiIHxUBI\\\n",
       "RFSJFBQUYOrUqWjcuDFcXFwQHByMYcOGIT4+vsRzly9fjrCwMCiVSrRp0wYnT540OJ6fn49x48bB\\\n",
       "x8cHrq6uGDhwIBITE8vqVkqlpHspasuWLahfvz6USiUaN26MPXv2GBwXBAEzZsxAUFAQnJyc0K1b\\\n",
       "N9y4caMsb6HU5s2bh1atWsHNzQ3+/v7o378/rl27VuJ5T+NnQUREZYeBkIioEsnNzcXZs2cxffp0\\\n",
       "nD17Flu3bsW1a9fQt2/fYs/btGkTJk+ejJkzZ+Ls2bNo2rQpevTogaSkJH2d9957Dzt37sSWLVtw\\\n",
       "+PBhxMfHY8CAAWV9S1az5F6edOzYMQwePBijRo3CuXPn0L9/f/Tv3x+XLl3S11mwYAG+/vprrFy5\\\n",
       "EidOnICLiwt69OiB/Pz88rotqx0+fBjjxo3D8ePHsW/fPhQUFKB79+7Iyckxe87T+lkQEVEZEoiI\\\n",
       "qFI7efKkAEC4e/eu2TqtW7cWxo0bp3+v1WqF4OBgYd68eYIgCEJ6erogk8mELVu26OtcuXJFACDE\\\n",
       "xMSUXedtUNK9FPXKK68IvXv3Nihr06aN8NZbbwmCIAg6nU4IDAwUFi5cqD+enp4uKBQKYePGjWVw\\\n",
       "B2UjKSlJACAcPnzYbB1H+SyIiMh+OEJIRFTJZWRkQCQSwdPT0+RxtVqNM2fOoFu3bvoysViMbt26\\\n",
       "ISYmBgBw5swZFBQUGNSpX78+QkND9XUqA0vupaiYmBiD+gDQo0cPff3Y2FgkJCQY1PHw8ECbNm0q\\\n",
       "1b2XJCMjAwDg7e1tto6jfBZERGQ/DIRERJVYfn4+pk6disGDB8Pd3d1knZSUFGi1WgQEBBiUBwQE\\\n",
       "ICEhAQCQkJAAuVxuFCqfrFMZWHIvRSUkJJR474VllrZZ2eh0OkyaNAnPPvssGjVqZLaeI3wWRERk\\\n",
       "XwyEREQVaP369XB1ddW/jh49qj9WUFCAV155BYIg4Ntvv63AXlJFGzduHC5duoRff/21ortCRERP\\\n",
       "GWlFd4CIyJH17dsXbdq00b8PCQkB8P9h8O7duzhw4IDZ0UEA8PX1hUQiMVoxNDExEYGBgQCAwMBA\\\n",
       "qNVqpKenG4wSPlmnMrDkXooKDAws8d4Ly4KCggzqNGvWzI69Lxvjx4/Hrl27cOTIEVSrVq3Yuk/7\\\n",
       "Z0FERPbHEUIiogrk5uaG2rVr619OTk76MHjjxg38/fff8PHxKbYNuVyOFi1aYP/+/foynU6H/fv3\\\n",
       "o127dgCAFi1aQCaTGdS5du0a7t27p69TGVhyL0W1a9fOoD4A7Nu3T18/PDwcgYGBBnUyMzNx4sSJ\\\n",
       "SnXvRQmCgPHjx2Pbtm04cOAAwsPDSzznaf0siIioDFX0qjZERPT/1Gq10LdvX6FatWrC+fPnhYcP\\\n",
       "H+pfKpVKX69Lly7CN998o3//66+/CgqFQvjxxx+Fy5cvC2PGjBE8PT2FhIQEfZ2xY8cKoaGhwoED\\\n",
       "B4TTp08L7dq1E9q1a1eu92eJku5l6NChwkcffaSvHx0dLUilUuHLL78Urly5IsycOVOQyWTCxYsX\\\n",
       "9XXmz58veHp6Cjt27BD++ecfoV+/fkJ4eLiQl5dX7vdnqbffflvw8PAQDh06ZPDnIDc3V1/HUT4L\\\n",
       "IiIqOwyERESVSGxsrADA5OvgwYP6ejVq1BBmzpxpcO4333wjhIaGCnK5XGjdurVw/Phxg+N5eXnC\\\n",
       "O++8I3h5eQnOzs7CSy+9JDx8+LAc7sp6xd1LZGSkMHz4cIP6mzdvFurWrSvI5XKhYcOGwu7duw2O\\\n",
       "63Q6Yfr06UJAQICgUCiErl27CteuXSuPW7GZuT8Ha9eu1ddxlM+CiIjKjkgQBKFixiaJiIiIiIio\\\n",
       "IvEZQiIiIiIiIgfFQEhEREREROSgGAiJiIiIiIgcFAMhERERERGRg2IgJCIiIiIiclAMhERERERE\\\n",
       "RA6KgZCIiIiIiMhBMRASERERERE5KAZCIiKqEn744Qd07969zK+zd+9eNGvWDDqdrsyvRUREVNEY\\\n",
       "CImIqNLLz8/H9OnTMXPmzDK/1gsvvACZTIb169eX+bWIiIgqGgMhERFVer/99hvc3d3x7LPPlsv1\\\n",
       "RowYga+//rpcrkVERFSRGAiJiKjcJCcnIzAwEHPnztWXHTt2DHK5HPv37zd73q+//oo+ffoYlHXu\\\n",
       "3BmTJk0yKOvfvz9GjBihfx8WFobPP/8cw4YNg6urK2rUqIHff/8dycnJ6NevH1xdXdGkSROcPn3a\\\n",
       "oJ0+ffrg9OnTuHXrlu03S0REVAUwEBIRUbnx8/PDmjVr8N///henT59GVlYWhg4divHjx6Nr165m\\\n",
       "z4uKikLLli1tuubixYvx7LPP4ty5c+jduzeGDh2KYcOGYciQITh79ixq1aqFYcOGQRAE/TmhoaEI\\\n",
       "CAjA0aNHbbomERFRVcFASERE5apXr14YPXo0Xn/9dYwdOxYuLi6YN2+e2frp6enIyMhAcHCwzdd7\\\n",
       "6623UKdOHcyYMQOZmZlo1aoVBg0ahLp162Lq1Km4cuUKEhMTDc4LDg7G3bt3bbomERFRVcFASERE\\\n",
       "5e7LL7+ERqPBli1bsH79eigUCrN18/LyAABKpdKmazVp0kT/64CAAABA48aNjcqSkpIMznNyckJu\\\n",
       "bq5N1yQiIqoqGAiJiKjc3bp1C/Hx8dDpdLhz506xdX18fCASiZCWllZiu1qt1qhMJpPpfy0SicyW\\\n",
       "Fd1m4tGjR/Dz8yvxmkRERFUZAyEREZUrtVqNIUOG4NVXX8Vnn32GN99802h07klyuRzPPPMMLl++\\\n",
       "bHSs6DTP27dv26WP+fn5uHXrFiIiIuzSHhERUWXFQEhEROXqk08+QUZGBr7++mtMnToVdevWxRtv\\\n",
       "vFHsOT169EBUVJRR+Y4dO7B161bcunULc+bMweXLl3H37l3ExcWVqo/Hjx+HQqFAu3btStUOERFR\\\n",
       "ZcdASERE5ebQoUNYsmQJ1q1bB3d3d4jFYqxbtw5Hjx7Ft99+a/a8UaNGYc+ePcjIyDAo7927NxYs\\\n",
       "WIBnnnkGR44cwYoVK3Dy5EmsW7euVP3cuHEjXn/9dTg7O5eqHSIiospOJDy5zjYREVElNWjQIDRv\\\n",
       "3hzTpk0D8HgfwmbNmmHJkiV2vU5KSgrq1auH06dPIzw83K5tExERVTYcISQioiph4cKFcHV1LfPr\\\n",
       "3LlzBytWrGAYJCIih8ARQiIiqpLKaoSQiIjIkTAQEhEREREROShOGSUiIiIiInJQDIREREREREQO\\\n",
       "ioGQiIiIiIjIQTEQEhEREREROSgGQiIiIiIiIgfFQEhEREREROSgGAiJiIiIiIgcFAMhERERERGR\\\n",
       "g2IgJCIiIiIiclAMhERERERERA6KgZCIiIiIiMhBMRASERERERE5KAZCIiIiIiIiB8VASERERERE\\\n",
       "5KD+D/lX8qlnvN6WAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[23] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAgnxJREFUeJzt3Xd4U1XjB/Bvkibp3qWDFih7lQIFyi5CBRRkiKLIEhAUQQQc\\\n",
       "vKhMFQQRUUF53YMpvoIiiAzZ0AJly5RNd+keGU3u7w+e5kdmkzRd5Pt5njySc88999wAkm/PueeI\\\n",
       "BEEQQERERERERE5HXN0dICIiIiIiourBQEhEREREROSkGAiJiIiIiIicFAMhERERERGRk2IgJCIi\\\n",
       "IiIiclIMhERERERERE6KgZCIiIiIiMhJMRASERERERE5KQZCIiIiIiIiJ8VASERERERE5KQYCImI\\\n",
       "iIiIiJwUAyEREREREZGTYiAkIiIiIiJyUgyEREREREREToqBkIiI7LJv3z6IRCLs27evurtCDnbs\\\n",
       "2DHIZDLcunWryq997949eHh4YPv27VV+bSIiZ8RASEREFn3++ef4/vvvq7sbdlm3bh1WrFhR3d0A\\\n",
       "AGi1WixduhSRkZFwdXVFmzZtsH79eqvPz83NxaRJkxAUFAQPDw888sgjOHnypFG9jRs3YtSoUWjS\\\n",
       "pAlEIhF69eplc1/ffvttjBgxAvXr17f53IoKCAjACy+8gDlz5lT5tYmInJFIEAShujtBREQ1V+vW\\\n",
       "rREYGGg0EqjVaqFSqSCTySAW18yfLw4cOBDnz5/HzZs3q7srmD17Nj744ANMnDgRHTt2xG+//YZt\\\n",
       "27Zh/fr1ePbZZy2eq9Vq0aNHD5w5cwZvvPEGAgMD8fnnn+POnTtISkpCkyZNdHV79eqFpKQkdOzY\\\n",
       "EadPn0abNm1sGsU9ffo02rVrhyNHjqBLly723m6FXLx4ES1btsSePXvQu3fvaukDEZGzYCAkIrJC\\\n",
       "UVERPDw8qrsb1cJcIKwNakogTE5ORmRkJCZNmoSVK1cCAARBQFxcHG7cuIGbN29CIpGYPf/nn3/G\\\n",
       "M888g02bNuGpp54CAGRmZqJp06Z47LHHsG7dOl3dO3fuoG7duhCLxXb93r366qvYsmULbt68CZFI\\\n",
       "ZN8NO0BUVBTatWuHH3/8sdr6QETkDGrmj3SJiCpRcnIyJkyYgLCwMMjlckRGRmLy5MlQqVQAgO+/\\\n",
       "/x4ikQj79+/Hyy+/jDp16iA8PFx3/ueff45WrVpBLpcjLCwMU6ZMQW5urt41rl69imHDhiEkJASu\\\n",
       "rq4IDw/Hs88+i7y8PF2dXbt2oXv37vD19YWnpyeaNWuGt956q9z+W3OeUqnEvHnz0LhxY8jlckRE\\\n",
       "RODNN9+EUqk0am/NmjXo1KkT3N3d4efnh549e2Lnzp0AgAYNGuCff/7B/v37IRKJ9KYgmnuGcNOm\\\n",
       "TYiJiYGbmxsCAwMxatQoJCcn69V5/vnn4enpieTkZAwZMgSenp4ICgrC66+/Do1GU+5n8Ntvv2HA\\\n",
       "gAG638NGjRrh3Xff1Tu3V69e2LZtG27duqXre4MGDcy2+fzzz+vqGb7mz59fbp/K669arcbLL7+s\\\n",
       "KxOJRJg8eTLu3r2Lo0ePWjz/l19+QXBwMJ588kldWVBQEIYPH47ffvtN7/c1IiKiQiO2W7ZsQe/e\\\n",
       "vY3CoLnPoUGDBnj++ed178v+/hw6dAjTpk1DUFAQfH198eKLL0KlUiE3NxdjxoyBn58f/Pz88Oab\\\n",
       "b8LUz6YfffRRbN261eQxIiJyHJfq7gARUVVKSUlBp06ddM9jNW/eHMnJyfjll19QXFwMmUymq/vy\\\n",
       "yy8jKCgIc+fORVFREQBg/vz5WLBgAeLj4zF58mRcvnwZX3zxBY4fP47Dhw9DKpVCpVKhX79+UCqV\\\n",
       "eOWVVxASEoLk5GT88ccfyM3NhY+PD/755x8MHDgQbdq0wcKFCyGXy/Hvv//i8OHDFvtvzXlarRaD\\\n",
       "Bg3CoUOHMGnSJLRo0QLnzp3Dxx9/jCtXrmDLli26ugsWLMD8+fPRtWtXLFy4EDKZDImJifj777/R\\\n",
       "t29frFixAq+88go8PT3x9ttvAwCCg4PN9u/777/HuHHj0LFjRyxevBjp6en45JNPcPjwYZw6dQq+\\\n",
       "vr66uhqNBv369UNsbCyWLVuG3bt346OPPkKjRo0wefJki5/D999/D09PT8ycOROenp74+++/MXfu\\\n",
       "XOTn5+PDDz8EcP85uLy8PNy9excff/wxAMDT09Nsmy+++CLi4+P1ynbs2IG1a9eiTp06urKsrCyL\\\n",
       "fSvj5eUFuVwOADh16hQ8PDzQokULvTqdOnXSHe/evbvZtk6dOoX27dsbBb1OnTrhyy+/xJUrVxAV\\\n",
       "FWVVvyxJTk7G7du30b59+wq3VfZnf8GCBUhISMCXX34JX19fHDlyBPXq1cOiRYuwfft2fPjhh2jd\\\n",
       "ujXGjBmjd35MTAw+/vhj/PPPP2jdunWF+0NERGYIREROZMyYMYJYLBaOHz9udEyr1QqCIAjfffed\\\n",
       "AEDo3r27UFpaqjuekZEhyGQyoW/fvoJGo9GVr1y5UgAgfPvtt4IgCMKpU6cEAMKmTZvM9uPjjz8W\\\n",
       "AAiZmZk29d+a83766SdBLBYLBw8e1CtfvXq1AEA4fPiwIAiCcPXqVUEsFgtDhw7Vux9B+P/PQhAE\\\n",
       "oVWrVkJcXJzRdfbu3SsAEPbu3SsIgiCoVCqhTp06QuvWrYWSkhJdvT/++EMAIMydO1dXNnbsWAGA\\\n",
       "sHDhQr0227VrJ8TExFj+EARBKC4uNip78cUXBXd3d0GhUOjKBgwYINSvX7/c9ky5evWq4OPjIzz6\\\n",
       "6KN6fw4AWPX67rvv9PrRsGFDo2sUFRUJAIT//Oc/Fvvi4eEhjB8/3qh827ZtAgBhx44dJs8z93tn\\\n",
       "zu7duwUAwtatW42OARDmzZtnVF6/fn1h7Nixuvdlf3/69eun9+eoS5cugkgkEl566SVdWWlpqRAe\\\n",
       "Hm6yj0eOHBEACBs3brS6/0REZDtOGSUip6HVarFlyxY88cQT6NChg9FxwylyEydO1Huua/fu3VCp\\\n",
       "VJg+fbreSM3EiRPh7e2Nbdu2AQB8fHwAAH/99ReKi4tN9qVspOy3336DVqu1+h6sOW/Tpk1o0aIF\\\n",
       "mjdvjqysLN2rbHGOvXv3Arg/NVCr1WLu3LlGI0/2PDt24sQJZGRk4OWXX4arq6uufMCAAWjevLnu\\\n",
       "83nQSy+9pPe+R48euH79ernXcnNz0/26oKAAWVlZ6NGjB4qLi3Hp0iWb+26oqKgIQ4cOhZ+fH9av\\\n",
       "X6/352DXrl1Wvfr166c7p6SkRDda+KCyz6mkpMRifyp6vrXu3bsHAPDz86twWxMmTND7cxQbGwtB\\\n",
       "EDBhwgRdmUQiQYcOHUz+npf1wdoRWSIisg+njBKR08jMzER+fr7V088iIyP13pftydasWTO9cplM\\\n",
       "hoYNG+qOR0ZGYubMmVi+fDnWrl2LHj16YNCgQRg1apQuLD7zzDP4+uuv8cILL+A///kP+vTpgyef\\\n",
       "fBJPPfWUxee/rDnv6tWruHjxIoKCgky2kZGRAQC4du0axGIxWrZsadXnUR5znw8ANG/eHIcOHdIr\\\n",
       "c3V1Neqjn58fcnJyyr3WP//8g3feeQd///038vPz9Y49+JymvSZOnIhr167hyJEjCAgI0DtmOK3U\\\n",
       "Gm5ubiaf31QoFLrjlXm+rQQHPLdXr149vfdlf/YjIiKMyk39npf1oToXtiEicgYMhEREZlTkS/ZH\\\n",
       "H32E559/Hr/99ht27tyJadOmYfHixUhISEB4eDjc3Nxw4MAB7N27F9u2bcOOHTuwceNG9O7dGzt3\\\n",
       "7jS74qQ152m1WkRFRWH58uUm2zD8Ql5dLK2qaUlubi7i4uLg7e2NhQsXolGjRnB1dcXJkycxa9Ys\\\n",
       "m0ZcTfnkk0+wfv16rFmzBm3btjU6npaWZlU7Pj4+uj9DoaGh2Lt3LwRB0As4qampAICwsDCLbYWG\\\n",
       "hurqPsja861VFn6tCeVlzIVHc7+/pspNtVHWh8DAQKv7QkREtuOUUSJyGkFBQfD29sb58+ftOr9s\\\n",
       "k+7Lly/rlatUKty4ccNoE++oqCi88847OHDgAA4ePIjk5GSsXr1ad1wsFqNPnz5Yvnw5Lly4gPff\\\n",
       "fx9///23bkqnOeWd16hRI2RnZ6NPnz6Ij483epWN4DVq1AharRYXLlyweD1rR2jMfT5lZY7a5Hzf\\\n",
       "vn24d+8evv/+e7z66qsYOHAg4uPjTU5ztHV06eDBg3j99dcxffp0jBw50mSd0NBQq14bN27UndO2\\\n",
       "bVsUFxfj4sWLem0lJibqjlvStm1bnDx50ijsJiYmwt3dHU2bNrXpPs1p3rw5AODGjRsmjxcUFBiV\\\n",
       "lY04O1pZHwwX4iEiIsdiICQipyEWizFkyBBs3boVJ06cMDpe3jS5+Ph4yGQyfPrpp3p1v/nmG+Tl\\\n",
       "5WHAgAEAgPz8fJSWluqdGxUVBbFYrJv2l52dbdR+WSgwNTWwjDXnDR8+HMnJyfjqq6+M6paUlOhW\\\n",
       "TB0yZAjEYjEWLlxoFDQevD8PDw+jbTVM6dChA+rUqYPVq1fr3cOff/6Jixcv6j6fiiobYXqwjyqV\\\n",
       "Cp9//rlRXQ8PD6unkKampmL48OHo3r27bqVSU+x5hnDw4MGQSqV6fRQEAatXr0bdunXRtWtXvX5c\\\n",
       "unQJarVaV/bUU08hPT0dv/76q64sKysLmzZtwhNPPGHy+UJ71K1bFxERESb/fgAw2mLkzz//hEKh\\\n",
       "qJStIZKSkuDj44NWrVo5vG0iIvp/nDJKRE5l0aJF2LlzJ+Li4nRbMqSmpmLTpk04dOiQ3rYIhoKC\\\n",
       "gjB79mwsWLAA/fv3x6BBg3D58mV8/vnn6NixI0aNGgUA+PvvvzF16lQ8/fTTaNq0KUpLS/HTTz9B\\\n",
       "IpFg2LBhAICFCxfiwIEDGDBgAOrXr4+MjAx8/vnnCA8Pt7j9gDXnjR49Gj///DNeeukl7N27F926\\\n",
       "dYNGo8GlS5fw888/46+//kKHDh3QuHFjvP3223j33XfRo0cPPPnkk5DL5Th+/DjCwsKwePFiAPeX\\\n",
       "///iiy/w3nvvoXHjxqhTp45ugZoHSaVSLFmyBOPGjUNcXBxGjBih23aiQYMGmDFjhr2/bXq6du0K\\\n",
       "Pz8/jB07FtOmTYNIJMJPP/1kMpTExMRg48aNmDlzJjp27AhPT0888cQTJtudNm0aMjMz8eabb2LD\\\n",
       "hg16x9q0aYM2bdoAsO8ZwvDwcEyfPh0ffvgh1Go1OnbsiC1btuDgwYNYu3at3jTK2bNn44cffsCN\\\n",
       "Gzd0+yY+9dRT6Ny5M8aNG4cLFy4gMDAQn3/+OTQaDRYsWKB3rQMHDuDAgQMA7j83W1RUhPfeew8A\\\n",
       "0LNnT/Ts2dNiXwcPHozNmzcbTW8FgIsXL+Lxxx/HoEGDkJKSgk8++QQ+Pj44cuQI1q9fjxEjRtj8\\\n",
       "2Ziza9cuPPHEE3yGkIioslXH0qZERNXp1q1bwpgxY4SgoCBBLpcLDRs2FKZMmSIolUpBEP5/2XxT\\\n",
       "W1MIwv1tJpo3by5IpVIhODhYmDx5spCTk6M7fv36dWH8+PFCo0aNBFdXV8Hf31945JFHhN27d+vq\\\n",
       "7NmzRxg8eLAQFhYmyGQyISwsTBgxYoRw5coVi3239jyVSiUsWbJEaNWqlSCXywU/Pz8hJiZGWLBg\\\n",
       "gZCXl6dX99tvvxXatWunqxcXFyfs2rVLdzwtLU0YMGCA4OXlJQDQbRFguO1EmY0bN+ra8/f3F0aO\\\n",
       "HCncvXtXr87YsWMFDw8Po/ubN2+eYM0/TYcPHxY6d+4suLm5CWFhYcKbb74p/PXXX0b9KSwsFJ57\\\n",
       "7jnB19dXAGBxC4q4uDizW0iY2m7BVhqNRli0aJFQv359QSaTCa1atRLWrFljVK9sS44bN27olWdn\\\n",
       "ZwsTJkwQAgICBHd3dyEuLs7kn9Gyz9De+zh58qQAwGjbEgDCzJkzhaefflpwc3MTQkNDhZUrVwqr\\\n",
       "V68W3N3dhRdeeEEQBPN/f8r6Zbhliqk/CxcvXhQA6P2dISKiyiEShEqY50FERES1Vp8+fRAWFoaf\\\n",
       "fvpJVyYSiTBv3jzMnz+/0q8/ffp0HDhwAElJSRwhJCKqZHyGkIiIiPQsWrQIGzdu1G0lUpXu3buH\\\n",
       "r7/+Gu+99x7DIBFRFeAzhERERKQnNjYWKpWqWq4dEBCAwsLCark2EZEz4gghERERERGRk+IIIRER\\\n",
       "EZWLSw4QET2cOEJIRERERETkpBgIiYiIiIiInBSnjBJRraTVapGSkgIvLy+uREhEegRBQEFBAcLC\\\n",
       "wiAW2/6z76lTp+LEiRM2ndOhQwesXLnS5msREVU3BkIiqpVSUlLw9ddfV3c3iKiGWrBgAe7cuYPw\\\n",
       "8HCbzps6dSpWrVpl8/USExMBgKGQiGodBkIiqpW8vLwAgKODRGRW2f8nbGHryKC955r6f1fZwj2f\\\n",
       "ffYZpk2bZnTcy8sL+fn5dvePiMgUBkIiqpUYBImoPBX9/4S15zt6BdbvvvtOrw9l7RcUFDj0OkRE\\\n",
       "AAMhERERkRGRSGRToLQ1FD5Y3/A6J0+eNNkfAHB1dYVCobDpWkREljAQEhERERmwJxCeOXMGnTt3\\\n",
       "1pXFxcVhyZIlDu1X27ZtHdoeEREDIREREZEBWwMhACgUCt3iMsD9hWYcEQinTp2q+3VCQkKF2yMi\\\n",
       "ehADIREREZEBewKhq6sroqOjde/j4uIq3I/PPvtMt+ppbGxshdsjIjLEQEhERERkwJ5AGB0d7dAR\\\n",
       "vAdXG61fvz5HB4moUti+WysRERERVaoHw2BISAhu3rxZvR0ioocWAyERERGRgbIRQmtfturbt6/R\\\n",
       "uSKRCK6urkb7ECqVSvj7+8Pf3x/vvfeeQ+6PiKgMAyERERGRgcoOhLt27TJZrlQq8dprr+mV5eTk\\\n",
       "6F5z5syx636IiMzhM4REREREBuwNetZy9Gb2RET2YiAkIiIiMlDZgZCIqKZgICQiIiIywEBIRM6C\\\n",
       "zxASERERERE5KY4QEhERERngCCEROQuOEBKR1T744AOIRCJMnz7dYr1NmzahefPmcHV1RVRUFLZv\\\n",
       "3653XBAEzJ07F6GhoXBzc0N8fDyuXr1aiT0nIrJNZa8ySkRUUzAQEpFVjh8/jv/+979o06aNxXpH\\\n",
       "jhzBiBEjMGHCBJw6dQpDhgzBkCFDcP78eV2dpUuX4tNPP8Xq1auRmJgIDw8P9OvXDwqForJvg4jI\\\n",
       "KgyEROQsGAiJqFyFhYUYOXIkvvrqK/j5+Vms+8knn6B///5444030KJFC7z77rto3749Vq5cCeD+\\\n",
       "6OCKFSvwzjvvYPDgwWjTpg1+/PFHpKSkYMuWLVVwN0RE5WMgJCJnwUBIROWaMmUKBgwYgPj4+HLr\\\n",
       "Hj161Khev379cPToUQDAjRs3kJaWplfHx8cHsbGxujqmKJVK5Ofn672IiCoLAyEROQsGQiKyaMOG\\\n",
       "DTh58iQWL15sVf20tDQEBwfrlQUHByMtLU13vKzMXB1TFi9eDB8fH90rIiLCltsgIiIiIhMYCInI\\\n",
       "rDt37uDVV1/F2rVr4erqWq19mT17NvLy8nSvO3fuVGt/iOjhxhFCInIW3HaCiMxKSkpCRkYG2rdv\\\n",
       "ryvTaDQ4cOAAVq5cCaVSCYlEondOSEgI0tPT9crS09MREhKiO15WFhoaqlenbdu2Zvsil8shl8sr\\\n",
       "ektERFZh0CMiZ8ERQiIyq0+fPjh37hxOnz6te3Xo0AEjR47E6dOnjcIgAHTp0gV79uzRK9u1axe6\\\n",
       "dOkCAIiMjERISIhenfz8fCQmJurqEBHVBBwdJCJnwBFCIjLLy8sLrVu31ivz8PBAQECArnzMmDGo\\\n",
       "W7eu7hnDV199FXFxcfjoo48wYMAAbNiwASdOnMCXX34JALp9DN977z00adIEkZGRmDNnDsLCwjBk\\\n",
       "yJAqvT8iInNsCXsMhURUmzEQElGF3L59G2Lx/0826Nq1K9atW4d33nkHb731Fpo0aYItW7boBcs3\\\n",
       "33wTRUVFmDRpEnJzc9G9e3fs2LGj2p9TJCIqw0BIRM5CJAiCUN2dICKyVX5+PpYvX84vYkRk0vz5\\\n",
       "85GXlwdvb2+bzuvcuTMSExMRGBio98MuS7RaLbKyshAbG4uEhAR7uktEVG34DCEREREREZGT4pRR\\\n",
       "IiIiIgOcMkpEzoKBkIiIiMgAAyEROQsGQiJ66M2bN6+6u0BEDrRgwYJKvwYDIRE5CwZCIiIiIgMM\\\n",
       "hETkLBgIiYiIiAwwEBKRs+Aqo0RERERERE6KI4REREREBjhCSETOgoGQiIiIyAADIRE5CwZCIiIi\\\n",
       "IgMMhETkLBgIiYiIiAwwEBKRs2AgJCIiIjLAQEhEzoKrjBIRERERETkpjhASERERGeAIIRE5CwZC\\\n",
       "IiIiIgMMhETkLBgIiYiIiAwwEBKRs2AgJCIiIjLAQEhEzoKBkIiIiMgEBj0icgZcZZSIiIiIiMhJ\\\n",
       "cYSQiIiIyACnjBKRs2AgJCIiIjLAQEhEzoKBkIiIiMgAAyEROQsGQiIiIiIDDIRE5CwYCImIiIgM\\\n",
       "MBASkbNgICQiIiIywEBIRM6C204QERERERE5KY4QEhERERngCCEROQsGQiIiIiIDDIRE5Cw4ZZSI\\\n",
       "iIjIQFkgtPbliPYflJqaanRcLObXNiJyPP6fhYiIiMhAZQfC8oSFhRmVCYKAqVOnOvxaROTcGAiJ\\\n",
       "iIiIDFR2IBQEQfcylJqaalSvXbt2AIBVq1bZf1NERCYwEBIRERHVIPXq1TMqO3nyZDX0hIicAReV\\\n",
       "ISIiIjJgz6IyZ86cQefOnXXlcXFxWLJkic3XLi0tBQD4+PjYfC4Rka0YCImIiIgM2BMIFQoFEhMT\\\n",
       "deWJiYl2BUIioqrEQEhERERkwJ5A6OrqiujoaF15XFycXdd2cXFBaWkp8vLy7DqfiMgWDIRERERE\\\n",
       "BuwJhNHR0UhISKjwtW/fvm20yuiDU1GJiByJgZCIiIjIQGVvTN+3b1/s2rXLqB25XA6FQmG27SlT\\\n",
       "pth8LSIiS7jKKBEREVEVMwyDZZRKJQAgJSXF6JhIJMLKlSsrtV9E5Hw4QkhERERkoLJHCE3tP/ig\\\n",
       "0NDQcusQETkCAyERERGRCfYEPSKi2oaBkIiIiMhAZY8QEhHVFAyERERERAYYCInIWTAQEhERERlg\\\n",
       "ICQiZ8FASERERGSAgZCInAW3nSAiIiIiInJSHCEkIiIiMsARQiJyFgyERERERAYYCInIWTAQEhER\\\n",
       "ERlgICQiZ8FASERERGSAgZCInAUDIREREZEBBkIichZcZZSIiIiIiMhJMRASEdVgZaMUD75cXJxr\\\n",
       "ckdqaqrJz8Gal0QiKbf9Ll262N2+I14hISFo0KBBlV2PrMPPlYichXN9qyAiegiEhYVVdxeq1M2b\\\n",
       "N+0+18fHp9w6Z86csbt9R0hPT6/W65NpnDJKRM6CgZCIqJY5f/58dXehSh0/ftzucw8cOGDxuEKh\\\n",
       "QElJid3t08OLgZCInAWnjBIR1WASiUT3CgwMRHp6Ory9vau7W1UqMjLSrvOioqLQunVri3U6dOhg\\\n",
       "V9v08OOUUSJyFgyERGTW4sWL0bFjR3h5eaFOnToYMmQILl++XO55mzZtQvPmzeHq6oqoqChs375d\\\n",
       "77ggCJg7dy5CQ0Ph5uaG+Ph4XL16tbJuo1YrLS3VvTIzM1GnTp3q7lKV69+/v8lykUiEy5cvQxAE\\\n",
       "CIIArVaL/Px8nDhxAgUFBTh79qzFdv/991/8888/dvfp/PnzeOWVV+w6n2o+BkIichYMhERk1v79\\\n",
       "+zFlyhQkJCRg165dUKvV6Nu3L4qKisyec+TIEYwYMQITJkzAqVOnMGTIEAwZMkRvmuPSpUvx6aef\\\n",
       "YvXq1UhMTISHhwf69esHhUJRFbdFtYxUKsWyZcv0ygIDA6HRaNC0aVNdmUgkgpeXF2JiYuDp6Wmx\\\n",
       "zUuXLqFJkyZ29efSpUv4888/0apVK3z66afQaDSQSqV2tVUZxGIxhg0bhueeew5iMf+ZJyIiy/gv\\\n",
       "BRGZtWPHDjz//PNo1aoVoqOj8f333+P27dtISkoye84nn3yC/v3744033kCLFi3w7rvvon379li5\\\n",
       "ciWA+6ODK1aswDvvvIPBgwejTZs2+PHHH5GSkoItW7ZU0Z1RVRIEARqNpkJtvPbaa1CpVLh06RJK\\\n",
       "SkqQmZlp16iMWq1GZGQkWrRoYVc/oqKi0KxZM70ysViM4uJiu9pztO7du0Oj0eCXX37B2rVroVar\\\n",
       "a1RYrU04QkhEzoKBkIislpeXBwDw9/c3W+fo0aOIj4/XK+vXrx+OHj0KALhx4wbS0tL06vj4+CA2\\\n",
       "NlZXxxSlUon8/Hy9F9V8L7zwAsRiMVxcXODu7g6tVmt3W1KpFM2aNYOrq6vN52o0GkREREAmk1Vo\\\n",
       "1VJzC9y4uLhg2rRpdrfrCB988AEOHjyoVyYWi5Gbm1s9HarlGAiJyFkwEBKRVbRaLaZPn45u3bpZ\\\n",
       "XKgjLS0NwcHBemXBwcFIS0vTHS8rM1fHlMWLF8PHx0f3ioiIsPdWqIoMHToU33zzje59SUkJunXr\\\n",
       "VuX9EAQBbm5uuHv3boXakUqlkMvlZo8vX768Qu1XxN69ezFr1iyTx9zd3TF37twq7lHtx0BIRM6C\\\n",
       "gZCIrDJlyhScP38eGzZsqJbrz549G3l5ebrXnTt3qqUfNZUgCBU69+zZs9ixY0eFp3aWKSkpMTkF\\\n",
       "2NJ0Y+D+lM7s7GyH9KFMcXEx1Gp1hdvZv3+/xeMSicToBx2OIhKJdIFUKpVCIpFAJpOhX79+UKvV\\\n",
       "6NWrl8XzFyxYgClTpjC42IhhkIicAQMhEZVr6tSp+OOPP7B3716Eh4dbrBsSEmK00XZ6ejpCQkJ0\\\n",
       "x8vKzNUxRS6Xw9vbW+9F/8/eQKjRaNCrVy+0bdsWjz32GAYOHOiQ/rRq1cpkuZubm9lzVq1aBZlM\\\n",
       "hoCAAHh4eJR7Da1Wixs3bqC0tNRiPQ8PD7ummZYRiUR4//330aVLl3LrXr9+3e7rmLpu2bOTWq0W\\\n",
       "KpUKCoUCKpUKpaWlUCqV2LFjB1xcrNtSeOXKlVy4yQYcISQiZ8GN6YnILEEQ8Morr2Dz5s3Yt2+f\\\n",
       "VfvBdenSBXv27MH06dN1Zbt27dJ9mY6MjERISAj27NmDtm3bAgDy8/ORmJiIyZMnV8ZtOAV7V5Ms\\\n",
       "KCjQbd0AwOrAULbVg6nrlgU1U9auXWu2valTp+reFxcX48CBA+jZs6fJ+kVFRfD29oZWq4VEIkFJ\\\n",
       "SYnFxVOKiorwzTffYNOmTYiJicGQIUMQEREBQRCQkZGBW7duQS6Xo2XLlggJCYFUKtV9ybfly767\\\n",
       "uztu376Nhg0blhtUDUkkEvj6+mLw4MFYsmQJAgMDbTrfGjKZzOFtEhFR7cZASERmTZkyBevWrcNv\\\n",
       "v/0GLy8v3TN+Pj4+upGeMWPGoG7duli8eDEA4NVXX0VcXBw++ugjDBgwABs2bMCJEyfw5ZdfArj/\\\n",
       "5Xr69Ol477330KRJE0RGRmLOnDkICwvDkCFDquU+nZmvry8uXbqETz/9FJ6enlYtjHLmzBl07NgR\\\n",
       "paWl8PX1xZEjR9C8eXPd8UmTJpk9d8CAASbLyxYsetDmzZvNBkIfHx/dAjUajQbR0dE4e/as2dEy\\\n",
       "sViMiRMnYuLEiUbH6tati3bt2pnts60iIiKgVqtx7949DBgwAImJiWbryuVy7N+/H506deIoUw1j\\\n",
       "y8gff++IqDZjICQis7744gsAMHo+6bvvvsPzzz8PALh9+7beKFHXrl2xbt06vPPOO3jrrbfQpEkT\\\n",
       "bNmyRW8hmjfffBNFRUWYNGkScnNz0b17d+zYsaNC0/rIfr6+vlYvOqLRaNCuXTvdiGJOTg5atGgB\\\n",
       "kUgET09PCIKAwsJCk+fK5XKzX5zd3d2Nyl588UWTdXfu3Gn0rOPFixcxfPhw/Prrr1bdR1UICAhA\\\n",
       "QkICiouLERoaarQy7ty5c7FgwYJq6h2Vh4GQiJwFAyERmWXNc2n79u0zKnv66afx9NNPmz1HJBJh\\\n",
       "4cKFWLhwYUW6R9Xgv//9r8k/F4IgoKCgwOK5arUagiCY/PIsk8kQFhaGlJQUAICXl5feqOODhg4d\\\n",
       "arJ88+bNKCkpsficYnVwd3dHTk4OxowZg02bNkEmk2HPnj3o1KlTtfTnYQgvs2fPrvTprwyEROQs\\\n",
       "uKgMERFZbebMmXafq9VqUbduXbM/aEhOTsaJEydw+PBhi/tMlpSUmD3m4eGBb7/91ubn9yqbWCzG\\\n",
       "mjVrkJ+fj+zs7GoLg2Q9LipDRM6CgZCIiKySk5MDpVJZoTZSU1Ph4uJitp2YmBh07drVYhuWphYL\\\n",
       "goAJEyboFoUJDAyscJ8dqWzbCGtotVrs2rULx48fr+RekSkMhETkLDhllIiIrBIWFuaQdrRaLfz9\\\n",
       "/VFUVGTX+deuXbO6L/fu3UNAQIDZ5xprKq1WC1dXV93+ie7u7igsLGTwqEKcMkpEzoIjhEREVK75\\\n",
       "8+c7dA87S9M+yxMaGgqVSqW3UJElRUVFdu/TWCY/Px+pqakVbsdas2fP1oVB4P42HOWNnBIREdmD\\\n",
       "gZCIiCwSBMHhq2E2a9asQudLpVKcO3cOgiCUuziRWCyu0AhOcHAwfHx8EBYWBqlUWiVTUH/88Uej\\\n",
       "soSEBGRmZhqVa7VaHDlyBMeOHauywOoMOGWUiJwFAyEREVlkaYEXe4SHh+PixYsOa2/OnDkoKSnR\\\n",
       "bYViaMaMGXa3vXHjRmRkZOjeazQa+Pr62t2etdq2bWuyPDg4GKdPn4ZWq4VKpcLw4cMhkUjQrVs3\\\n",
       "xMbGol69epXeN2fBQEhEzoKBkIiILPLw8LCpvlQqxbJly3DhwgVs27YNI0aMQNeuXbF48WKUlJTg\\\n",
       "zp07Du+jq6srvvvuO1y7dg0SiURX3rhxYyxbtszudr/66iujMoVCgUuXLpmsf/fuXbi7u8PFxQUv\\\n",
       "v/yy3dfdsmWLyXJBENCuXTtIJBLI5XJs2rTJ6Po1aRGd2oyBkIicBQMhERFZ5OLigtmzZ1tVd968\\\n",
       "eVCpVHjttdfQokULPP7441i3bh0OHz6M//znPxZXCHWEhg0borS0FAqFAkqlElevXq1QexMmTDBZ\\\n",
       "3rp1a6PpmYsWLUJERARKSkqg0WjwxRdfmNynE7gf7B599FH4+vpixYoVRsflcjnmzJljc39FIhFc\\\n",
       "XLhenCMwEBKRs2AgJCKici1atAj5+flo3bo1xGLjfzr8/PxQVFSE+fPnV33nTJDL5Q7ZuPyZZ54x\\\n",
       "Wa7RaODm5obExEScP38egYGBePvtt43qPfbYYybP9/Hxwe7du5GXl4cZM2aYrLdw4UL07NnTpv7O\\\n",
       "nTtXb4SU7MdASETOgoGQiIis4uXlhXPnzkGj0aC0tBSZmZm4e/cu1Go1srOz4e7uXt1ddDixWIzV\\\n",
       "q1ebPKZUKtG5c2dERUXh3r17ZusY0mg0KCgo0Cv766+/TJ6/f/9+hISEWNXPpKQkqwK5IAi1/iWX\\\n",
       "yxnQiIgchIGQiMhJVWRFSolEgsDAQNStW/ehn6I4adIkdOzYsdqun5KSYnJUtszEiROh0WjQvn37\\\n",
       "KuzVw48jhETkLB7uf8WJiMis6vwSq1ara/TzbmVhuezL/oEDB+Dj4wOVSmVTO2FhYUZlEokEDRs2\\\n",
       "xPXr13VlphavKSMSiZCZmYmAgAC9cldXV9y7d++hHJmtCbgxPRE5C44QEhFRlZk6dSpEIhFkMhmk\\\n",
       "UikkEgni4uKQlZUFrVYL4P+nNFaHCxcuQCqVQiwWQyKRIDExUTdFcdCgQVa3IxKJEBISgqSkJJPH\\\n",
       "r127hr1792L8+PHIzMw0u3hNGX9/f+Tl5SEmJgZNmjTBiRMnUFJSwjBYiThCSETOgoGQiIiqxOjR\\\n",
       "o7Fq1Sq9Mq1WiwMHDiAoKAguLi5wcXGBRCLRvQICArB161ZdWLRHaWkpLl68iJKSEov10tLS0KpV\\\n",
       "K5SWlgK4H0y7dOmCu3fvQqvVWrXAS5MmTZCbmwuNRoPU1FQEBwebrdurVy988803CAwMtOo+vL29\\\n",
       "ceLECVy5cgUxMTFWnUP2YyAkImfBQEhERHbJyclBZmamVXXz8vKwZs0ai3UEQYBGo9GNEGq1WmRn\\\n",
       "Z2PQoEGQSCRwcXGBn58ffH19IZPJIJFI4OnpiePHj5tt8+7du5DJZGjZsiXc3d3RrVs3s3Xr169v\\\n",
       "sk+HDx8GAERHR1vs/xdffIErV67Ax8eHAeEhwEBIRM6CgZCIiGxSNlXR398fderUwfDhwy3WFwTB\\\n",
       "6Pk3e2g0GuTm5iIvLw9qtRparRZFRUXo1KkTHn/8caPn+7RaLerVq6c3/fTIkSOoU6eOUdt5eXkm\\\n",
       "nw8UiUQYPHgwJBIJYmNjzX7xb968OV566aUK3iEREVHVYyAkIiKTykbpyl5FRUV49tln4e7urjf9\\\n",
       "8pdffrHYjpeXFzQaTaX29c8//4SXl5de+GvSpInJZxEzMzPh6+ur65MgCGZH/65evQo3NzcA9/c2\\\n",
       "rFevnlEdsViMCxcuWOzfnTt38MQTT+CFF14wu0UF1SwcISQiZ8FASEREenJzc1G/fn1IpVJIpVK4\\\n",
       "urpCLpfD09MTGzduNKpvaQGYRo0aoaioqDK7q6NSqTB06FDcu3cPEyZM0FvF01BeXh6kUinCwsLg\\\n",
       "6+uLW7du6R0Xi8XYvXs3GjVqpFd+/vx5vfcikQg5OTnlBoKOHTvijz/+0D0zKJPJkJ+fb+MdVlx1\\\n",
       "LdZTW1VWGNy2bZvJdlJTUyvhLoiILGMgJCJyEkqlEgqFwmwoKC0tRePGjeHn54fbt29Do9FAq9VC\\\n",
       "rVbrFloxxdzWESUlJRZDWWX4/fffERERgW+//bbcuoIgIDU1VS+Yubi44Pjx49BoNOjTp4/ROZ6e\\\n",
       "nrh69SpCQ0PRtm1blJSUwNvbu9xrGT5rqVar4ePjg8LCQpP1K7KIjjnz5s2DRCJxeLsPq8ocIRw4\\\n",
       "cKDu11KpVPdrU9uUEBFVtpq5ARQRETlMQUEB6tevj5ycHF2Zq6srYmJiMHDgQKSlpeGHH35Abm6u\\\n",
       "Xe03btzYZHlycrJd7VWEIAjlriZqjkgkQkZGBvz8/CzWa9y4MVJSUuy6hqEWLVrgzp07JvviSCtX\\\n",
       "rsTChQsd2ubDrir2IXzwhzOcdkpE1YWBkIjoIabVahEREYG8vDy9coVCgcOHD+tW0KyI3r17myyP\\\n",
       "jIysULtSqRSCIFgcnXQkT0/PcsOgvVq3bo2zZ88alZtbpdXR4WDatGkObc8Z2BMIz5w5g86dO+vK\\\n",
       "4+LisGTJErPnicViaLVahkEiqlacMkpEVINdv369Qs+aZWRkVPqzauaeEZRIJEhJSYFMJgNw/0uz\\\n",
       "XC6Hr6+v3jQ5Q+7u7lAoFFCpVFCr1Th48KDF60ulUtStWxc+Pj723wSAsWPHVuh8S44dO2ayvFOn\\\n",
       "Tna3ee/ePfj5+cHLy8tk2CxTVFTEZwftYM+UUYVCgcTERN1r6dKlJttOSkoCcH+E8MEwyN8nIqoO\\\n",
       "DIRERDVYo0aN4OPjA29vbygUCpvP9/LyqtBzYy4uLmjWrBnEYvP/XBw4cMDssdDQUCiVSt2KpQqF\\\n",
       "Ajk5OVCpVFAoFOjYsaPuC7FIJMLHH3+MoqIiyOVyXRvdu3c3u7XFo48+iuLiYty8eRPnz5+32M+y\\\n",
       "a5izfPlyi+dWhFwux2+//aZXJhaL8ffff9vdZnh4OHJzc1FYWIjo6GikpaWZrGc4OkyVx9XVFbGx\\\n",
       "sbrXm2++abJeTEyMyXKOFBJRdeCUUSKiWqCgoAA9e/Y0O9JkjoeHBxQKBWJjY3WjEtZKTU1FSEiI\\\n",
       "7n2/fv2wc+dOo3qGK3RaSy6XW30/GzduhFqtxubNmwHcHxUsLi7WW9AmPDwcR48eRWxsrNH5AwYM\\\n",
       "wB9//KF7LwgCzp8/j82bN2PEiBFo0qSJ2WtrNBoEBgbqnrGsW7cubty4YXGU05RBgwZBEATdKFBF\\\n",
       "vvyXhesHhYaGorS01OgHAKGhoXZfx5nZM2U0OjoaCQkJVl+DzxASUU3AEUIiolrC3PSz8kgkEhw/\\\n",
       "fhwzZszQBShLX3ZFIhGSk5P1wiAA/PXXXybPqYwVMU359ddfkZOTg+TkZKhUKpOrm3bq1AkzZ87U\\\n",
       "Kxs0aJBeGATu32NUVBTmzp1rMQwC90coH1xwJzk5GXK53O6puI7Yt04sFpscDR0zZozJ6z322GMV\\\n",
       "up4z4j6EROQsGAiJiGowmUyGgIAA7N27F7169bK7HZFIhP/85z/o2rUrevTogfz8fGi1WgiCAI1G\\\n",
       "g5ycHCQmJuLWrVvQaDRml7833Ievqvn6+pa7NP9HH30EjUaD7OxsqFQqo6matjI1sioIAoKCgirU\\\n",
       "bkWZmo64fv16k3W3b9+ODz/8kNtO2KAqAqFIJIJMJmOgJKJqxUBIRFSDKRQKZGVlVSgMllm0aBGO\\\n",
       "HTuG5ORkeHp66srFYjF8fX3RqVMn1KtXz+KX05YtWxpt1l62aExNIhaL4efnZ/O0TnNtmaJSqczu\\\n",
       "I1gVFi9ebPR7JQiCblqtoddff73KVmx9GFRmIOzZs6fu12q1Wvfrd99912H9JyKyFgMhEVEN5qiR\\\n",
       "g4SEBHzyySdQKBS4fv16haZ5Xr16VS9o/fLLL47oYo31xBNPmD1mz0I/jrR//36jsmHDhnG1Sgeo\\\n",
       "zEC4f/9+3fOkD77eeeedSrobIiLzGAiJiJzAuHHj9N7fvXvX7rZEIhFGjx6t20aif//+Fe1ejTZ7\\\n",
       "9myzx9zd3auwJ8a6dOliVCYIAm7evFn1nSEiolqJgZCI6CEnCAIuXbqkV1beQirlWb16NbZs2YLs\\\n",
       "7GyHTMusydq3b48nn3zSqNzNza3aA6GLiwv8/PyMyhs1asRRwgriojJE5CwYCImIaqk7d+7Aw8MD\\\n",
       "YrEYbm5uZrdwMBUMVCoVNBqN3dcuKSlB9+7dqz0QVZX//e9/+Pbbb3ULgLi6utaYUThTi8sIgmAy\\\n",
       "xJL1GAiJyFkwEBIR1UI3b95EvXr1UFxcDEEQdHsN7t6926iuuS0K7FlgpLCwEK1atUJISAhef/11\\\n",
       "u/puL61WC7VaDbVajdLSUodtd2HtSNq4ceNQUlKCgoICFBYWok6dOg65fkWZ2ncRALZs2cJRwgpg\\\n",
       "ICQiZ8FASERUC7Vo0cJk+YABA0yWHzhwQO992fN/toiPj4eXlxcuXLiAkpISfPfdd1Wyyua///4L\\\n",
       "V1dXSCQSyGQyyOVyBAUFYe3atXorNNpKo9HgySefhJeXF9q0aQOlUlnuOWKxGB4eHjVq+4Y9e/aY\\\n",
       "PXblypUq7MnDhYGQiJwFAyERUS0jCAJUKpXJY+amgXbr1g2bN2/WjRSmpaXZdM3vv//eZPAYNmyY\\\n",
       "Te3YSqFQoGnTpnphTRAE5Ofno0GDBnY/v6jVahEUFITNmzejqKgI586dQ7169SrcX0eOXJqjVqtR\\\n",
       "UlIChUKBkydP4sMPPzRbd8iQIZXal4cZAyEROQsGQiKiWkYkEuHRRx81eeyll14ye96QIUOg0Wgg\\\n",
       "CILN0x1ffvllk+WHDh2yqR1bpaammpz22KFDB/To0cPudrt3746cnBy9soyMDBQVFdnVXnFxMTw9\\\n",
       "PSGVSiGRSNCgQQObQ7s1SkpK0L59e3h7e8PDwwMxMTFmrwMAly9f5rRRIiKyiIGQiKgGu3LlCpKT\\\n",
       "k42mM+7YsQPnz59HWFiYbirlZ599hpUrV1Zp/2yddmqr+vXrw9vbW6+sdevWSExMtHhecnIyTp06\\\n",
       "ZTIMlZaW4ujRoybPy8zMtKufXbp00QuTt27dgpeXF3Jzc3VlSqUSr7zyCkJDQ9G/f3+LQc6cUaNG\\\n",
       "4fz581aPRAqCgE2bNtl8HeIIIRE5DwZCIqIarFmzZggPD4erqytGjhypd6xVq1ZITk5GaWkplEol\\\n",
       "pk6dWmn9WL58ucnyn376qdKuCdx/Zi83Nxd79+7F0qVLkZWVhXPnzlk8p127dggPD0f79u3h6upq\\\n",
       "FAozMjLMnmvvqqkpKSlGZSqVCiEhIfjkk0/w2WefISgoCCtXrkRmZib++usvhIeH64VIjUaDnJwc\\\n",
       "5OXlmQyyt2/fxq+//mpz35599lkUFxfr3tsadGriS6lUmtzY/cFXRTEQEpGzYCAkIqolNmzYUOnP\\\n",
       "p5nz0ksvoX79+nplERERZhexcSSRSIRevXrhjTfeQEBAgMW6d+/exenTp3XvVSoVFi1apFfH1Iqr\\\n",
       "Zfz9/e3qo7nN65VKJaZPn45p06ahoKBA71hmZiYCAgIQGxuL4OBgSKVS+Pv7w9fXFy4uLliwYIFu\\\n",
       "im96ejoaNWpkV98EQYC/v7/d02GdFQMhETkLBkKiWu7GjRv48ccf8e6772L27NlYvnw59u7dC4VC\\\n",
       "Ud1dIwcTBMFimKlsN2/eREZGBn766SekpaXh9u3b1dYXc5599lmjso8++kjvva+vr8lzJRIJXFxc\\\n",
       "7LrujBkz7AoFSqUSx44dQ0ZGht6ollarxfz58xEQEIB27dqhbt26dm0T8uB1fHx8sG7dOrvbcEYM\\\n",
       "g0TkDOz7l4+Iqt3atWvxySef4MSJEwgODkZYWBjc3NyQnZ2Na9eu6aYYzpo1y2hkh2qny5cvV3cX\\\n",
       "EBQUhFGjRlV3N8wytXWE4fRBcyuTJicn231dkUiE27dvIyIiwu42TMnLy8OZM2cc0pZGozGadkzm\\\n",
       "2RL2GAqJqDbjCCFRLdSuXTt8+umneP7553Hr1i2kpqYiKSkJhw4dwoULF5Cfn4/ffvsNWq0WHTp0\\\n",
       "4KIStZhIJIKHhweuXbuGJk2aVLg9QRDwxx9/4NChQw/l6pOvvPKKUVlgYKDe+wefpysjEokQHBxc\\\n",
       "oWv7+flV6HwiIqLqwBFColrogw8+QL9+/cwel8vl6NWrF3r16oX3338fN2/erLrOkUM58plBtVoN\\\n",
       "V1dXXZtisRj//vsvIiMjHXaN6vb4448blRkG3/fff9+ojrltOK5evYrPPvsMr7/+ern7FL7wwgs2\\\n",
       "9NQx/P39kZeXV6GtLMg0jhASkbPgCCFRLWQpDBoKCAhATExMJfaGaouNGzfqBUytVouePXtW20I1\\\n",
       "lcHNzc2o7MGtHwBgzZo1RnXMhb1OnTph5cqVaNu2rcmRxTIlJSX45ZdfbOusFSwFjcaNG+PYsWPV\\\n",
       "EkSdAReVISJnwUBI9JDIyMjA+fPncfbsWb0XUZkJEyYYld29exeTJ0+uht7oc9T0VVNfzLOzs6FW\\\n",
       "qwEABQUFJp8VNLUYTXJyMnJzcyEIAnJycuDp6YlTp07p1VGr1ejevTvc3d0rtOiLKWPHjsUnn3xi\\\n",
       "cqEbHx8fXL16FY0aNcLq1av5nHAlYCAkImfBKaNEtVxSUhLGjh2Lixcv6r5Ui0QiCIIAkUjEqWSk\\\n",
       "I5FITJZfuXIFWq222lYwPXjwIPr27QuRSIStW7eiT58+RnXUajXef/99nD17FvPnz0ebNm1MtnXx\\\n",
       "4kWjMkEQMHv2bMyePdvsNhlDhw41KouNjTVqp3379pDJZAgODkZGRobJRWzKIxKJEB4ejoKCAqPR\\\n",
       "ywfvo3nz5gCAqKgoPPLII3rH09LS9N6fP38eXl5eNveFzOOUUSJyFhwhJKrlxo8fj6ZNm+LIkSO4\\\n",
       "fv06bty4ofdfojIJCQlGoS8yMhLbt2+vtjBYWFiInj17QqFQoKSkBPHx8Xj88cf1Rgy3bt0KmUyG\\\n",
       "BQsWYPPmzYiOjoaLiwsOHjyo15YgCCafIQTuTxPdsWMHrl27ZvK4qSmj6enpJuuqVCrcuXPHrjAo\\\n",
       "kUhQXFyM27dvIycnB6WlpejXr58uUPj6+qKoqEgXBgGgV69eGDFiBID7wePLL7+Eq6urXruenp7w\\\n",
       "8fExul54eDhmzZqFHj162L2lhrPiCCEROQv+60BUy12/fh3/+9//0Lhx4+ruCtVwbdq0gVqtRm5u\\\n",
       "LkQiEby9vc2OGlpLEASUlJRAoVDA3d0dcrncpi/HLVq0MCr7888/4e3tjUGDBmHXrl3IzMw0qqPR\\\n",
       "aNCzZ094e3tjxYoVSEtLw48//oiMjAyT12ndujX69++PDz74ABMnTtQLnBERESY/B6lU6vBpoC++\\\n",
       "+KJemJNIJNixYwcA6Eb1TVm3bh1Wr14NiUQCDw8Pk3Xu3bsHPz8/FBYWwtvbG7du3TIKiZauUZss\\\n",
       "WLCg0q/BEUIichYcISSq5fr06eOwfcro4ScWi+Hv7w8/Pz+zYVAQBGRlZUGlUllsa/bs2bqAEhAQ\\\n",
       "ADc3N0gkEjRo0AB//PEH8vLyoFarzT4fmJeXh7t375o8VlhYiHXr1pkMgw/Kz8/H+PHj8dZbb+HS\\\n",
       "pUsm64jFYmzbtg0BAQGYMGECLl26BDc3N4hEInh5eeHq1asmz1u1apXFa9ujQ4cOZo+VFyq8vb3N\\\n",
       "hkHgfrjMz89HaWkpcnNzTY4YMrgQEZEhjhAS1XJff/01xo4di/Pnz6N169ZGm24PGjSomnpGtdW8\\\n",
       "efPw/vvvQyQS4fPPP8ekSZOM6rRr1w6nT582KhcEAbdu3cITTzyhKxOJRAgICMAff/yBjh07QiwW\\\n",
       "Iycnp8L7/lkrKSkJcrlc975p06YoKipCUVGRLsSaMm7cOIwfP96hfdm+fTvGjRvn0DYNVdf034cN\\\n",
       "RwiJyFkwEBLVckePHsXhw4fx559/Gh3jojJkqwsXLuDdd9/VvX/xxRcxbdo05OXlQS6XQ6PRwMfH\\\n",
       "B0VFRVa3WTbi2Llz58roskVFRUVwd3c3KheJRPD09Cz3/NLSUjRq1Ai3bt2yWK958+b4559/IBaL\\\n",
       "UVRUBG9vb5PbeRw/ftz6zlO1YiAkImfBHyMS1XKvvPIKRo0ahdTUVGi1Wr0XwyA9SKlU4uLFi1Ao\\\n",
       "FGbrDB482OR5QUFBWLNmDbp162ZTGKxOKSkpJsOgLSQSCc6dO4eQkBCzdfr164eLFy/qRuY8PDxw\\\n",
       "48YNk3UHDhxYof5Q1eGiMkTkLBgIiWq5e/fuYcaMGVU2/Y5qp7J99Fq2bAk3NzezofDmzZsmywsK\\\n",
       "CvDmm2/WmudVDx48iNDQUIe05erqirlz5xpNxwbuP8NbtijMg+rVq2dyG4iPPvrIIX2iysdASETO\\\n",
       "glNGiWq5J598Env37kWjRo2quytUgzVo0EBvxUxvb2+Ti8aYG1UWiUTo2rUrrly5gnPnzlVaP20h\\\n",
       "FotNTsucOXMmunfvblNbgiBAo9FAqVSioKAAmZmZSE1NRXp6OrKysnDq1CkEBQUhIyMDGo0GUqkU\\\n",
       "3377LUaOHGm2zezsbLi5uek+96+++krvWcaqlp+fj0OHDpndmoP0ccooETkLBkKiWq5p06aYPXs2\\\n",
       "Dh06hKioKKNRjGnTplVTz8gR3Nzc4OLiAn9/f4wYMQKzZ882uXqkJaWlpcjPz9crU6vV+PPPP/HY\\\n",
       "Y49Z1UaPHj2wceNGqFQq+Pn52bUHnyO1atUKv/zyC3JzczF37lycPHkScrkcmzZtQteuXa1uRxAE\\\n",
       "7Nq1C8899xyys7PNrojq4uICLy8vdO3aFbNmzULfvn3L3dfPxcUFKpUK2dnZ8Pb2NjnCWBVUKhU8\\\n",
       "PT2hVqsBwOw9EhGRc2IgJKrlvv76a3h6emL//v3Yv3+/3jGRSMRAWMuVTe0sLCzEkiVLsGTJEshk\\\n",
       "Mvzzzz9W7z2ZlpZmsnzw4MF6o4SCIJgMC2KxGHv37oVYLIabmxvWr1+PJ5980o67cZwhQ4agWbNm\\\n",
       "EIlE2Llzp11tCIKAL7/8Ei+//LLJkcYHlYXqcePG2TTCVrbCanUKCgrShUGyHkcIichZ8BlColru\\\n",
       "xo0bZl/Xr193yDVWrVqFBg0awNXVFbGxsTh27JjF+ps2bULz5s3h6uqKqKgobN++Xe+4IAiYO3cu\\\n",
       "QkND4ebmhvj4eLN7wZWnLMSYeymVSpufBapJL1NUKhWaNGmC0NBQFBYWlvsZmdoeArg/Srh69Wrd\\\n",
       "+927d5us9/XXX+ttZfDglhLWcnd3x+LFi3V7F1rD0vYJP/30k819eJAgCEhNTcVrr71Wbhgso9Fo\\\n",
       "EB0dXaHrVgfD0WGyzsPwDOHJkydrbN+IqOZgICR6SKWmpmLp0qUVbmfjxo2YOXMm5s2bh5MnTyI6\\\n",
       "Ohr9+vVDRkaGyfpHjhzBiBEjMGHCBJw6dQpDhgzBkCFDcP78eV2dpUuX4tNPP8Xq1auRmJgIDw8P\\\n",
       "9OvXz+Lql2QsLS0NXl5ecHV1xeOPP45///3X5AjfypUrzbYxefJkBAUFoWHDhujbt6/JOqNHj9Z7\\\n",
       "7+LiYtOXzLKR6tdeew3z589Hr169yj2na9euSE5Oxtdff23yWrdv30ZKSorVfRAEAWq1GkqlEmq1\\\n",
       "GgqFAr/88guKi4ttuo9mzZpZXb+msDaAk76HIRC2b9++urtARLUAAyFRLTd+/HiTr1GjRuntJ2ev\\\n",
       "5cuXY+LEiRg3bhxatmyJ1atXw93dHd9++63J+p988gn69++PN954Ay1atMC7776L9u3b60KJIAhY\\\n",
       "sWIF3nnnHQwePBht2rTBjz/+iJSUFGzZsqXC/XVGSqUSf/75J5o0aQI3NzccOHBAFwzz8vLMjvyV\\\n",
       "ycrKMrtNAmA6UJT3/NyDBEHAb7/9phut7dChQ7nn7N69GyEhIZgwYQIuXLhgsk6rVq3KbUehUKB/\\\n",
       "//7w8vKCv78/evXqhd27d+Pq1avYsGGDTc/T9evXr8LbWFSHt956q7q7UCs9DIGwTE3vHxFVLwZC\\\n",
       "olouJydH75WVlYVjx45h3759WLZsWYXaVqlUSEpKQnx8vK5MLBYjPj4eR48eNXnO0aNH9eoD979I\\\n",
       "l9W/ceMG0tLS9Or4+PggNjbWbJtkPaVSibi4OMhkMgQGBsLf37/C+1GWlJQYlbVs2dKozM/PD/Pm\\\n",
       "zcPbb78NV1dXvWMXL17E5MmTkZycjLCwMIvTQQMCAuDm5qZ737x5c0RERBjVy8vLw+HDh822c/fu\\\n",
       "Xbi7u+Ovv/5CUVERCgsLkZCQgJEjR2L8+PE4ceKE2XMfJJFIsHTpUqOpz7XFwoUL4enpWd3dqHUe\\\n",
       "pkAIGN8PEVEZBkKiWm7z5s16r99//x3nz5/HwoULKzzilpWVBY1GY7THYXBwsNmFStLS0izWL/uv\\\n",
       "LW0C94NOfn6+3ovMKy0txb1796x+Ps6Ss2fPGpWNHTtW92uRSIRWrVohKSkJb7/9Nl5//XXUqVPH\\\n",
       "6JydO3ciJSUFLVq0sLjQypgxY4zKXn/9dZN1X331VbPtDBs2zOQIYG5uLs6fP2/1QiudO3fGq6++\\\n",
       "Wqu/RO/atau6u0DVpOx56kcffbS6u0JENRQDIdFDasSIEdi3b191d8NhFi9eDB8fH93L1IgRVY4e\\\n",
       "PXoYBatXX30Ve/bswZ49e6BSqXD+/HlERkZCKpXC19cXQ4cONWrn3r17cHFxwSOPPII7d+5g165d\\\n",
       "RsGxQYMGWL58udG5U6ZMMdm3pKQkk8+eKpVKs4sflS02ZA2JRIJNmzZBJpNZVb9sL8Ps7GykpaVV\\\n",
       "+/YcZTp37ozS0lL897//re6u1Cq1cXTQXJ8++OADvQW3iIjKMBASPaTOnDmDdu3aVaiNwMBASCQS\\\n",
       "pKen65Wnp6cjJCTE5DkhISEW65f915Y2AWD27NnIy8vTve7cuWPz/ZB9SktLjTZ6F4vF6N27N3r3\\\n",
       "7m3184RisRht2rSBi4sL5HI54uPjkZ6eDq1WC4VCAbVabfZZRolEAl9fX5PHYmNjjcrmz59vVZ/K\\\n",
       "o9FojLZzMWXjxo3w8vKCTCaDq6srAgICEBoaCldXV4SGhuo2p69OEokEkyZNqu5u1BoPw5RRuVyu\\\n",
       "+3VMTEyN7ScRVS/uQ0hUy82cOdOoLD09Hb/99hsGDBigd9zUyIslMpkMMTEx2LNnD4YMGQIA0Gq1\\\n",
       "2LNnD6ZOnWrynC5dumDPnj2YPn26rmzXrl3o0qULACAyMhIhISHYs2cP2rZtC+D+sviJiYmYPHmy\\\n",
       "2b7I5XK9LzdUtY4cOYIff/zR5HROUzZs2GBUFh4ebvRsIXD/i7c1v7cjRozAF198YVR+9uxZXLt2\\\n",
       "DQ0bNoRIJIJWq7X5z7olI0eORO/evU1OgwXu3+uIESPMnp+WlgYPDw8UFxdzxc9axJagV9OCVtni\\\n",
       "RyqVClKplPtQEpFFDIREtdypU6dMlnfs2BEZGRm67SHs/cIyc+ZMjB07Fh06dECnTp2wYsUKFBUV\\\n",
       "Ydy4cQDuP+9Vt25dLF68GMD9qYRxcXH46KOPMGDAAGzYsAEnTpzAl19+qevH9OnT8d5776FJkyaI\\\n",
       "jIzEnDlzEBYWpgudVDM9//zzGDJkCLy9vS3Wu3jxotEIMABMmzatQte3tKpokyZNULduXSxbtgxz\\\n",
       "586FSqWq0LUepNVqERYWBpVKZbQYjiAIRttymKJSqeDp6YmioiKLC+pQzVGbA2FxcbFuy4my0WmZ\\\n",
       "TObQvxdE9PBgICSq5fbu3Vup7T/zzDPIzMzE3LlzkZaWhrZt22LHjh26RWFu376t9wW3a9euWLdu\\\n",
       "Hd555x289dZbaNKkCbZs2YLWrVvr6rz55psoKirCpEmTkJubi+7du2PHjh0mR4/KU94XMblcXquf\\\n",
       "l6lJXzQFQUDTpk1x9+5dk9NEtVotdu/ejccee8zk+Yarz9pq586dFvt29+5dPPvssxW6hjkajQaD\\\n",
       "Bg3CH3/8oVeek5Nj9XRQhUIBDw8PhsJaojYHQsD4h4UMg0RkDgMhEZVr6tSpZqeImlq45umnn8bT\\\n",
       "Tz9ttj2RSISFCxdi4cKFjuriQ0upVCI5ORlRUVEoKiqq7u4gPT0d4eHhmD17NjQaDfbt24erV68i\\\n",
       "Ozsb2dnZFsPRnTt39H4wYE5ZgH/wS3ZJSYnFQFgVtm/fDkEQ9Pq1bds2m9pQKBTw8vJCYWFhjQwR\\\n",
       "9P9qayB88M9o/fr1cevWrRrVPyKqefgjSqJaqH///khISCi3XkFBAZYsWYJVq1ZVQa+oMshkMkRG\\\n",
       "RqKgoKDGPEOZnp6O6dOn47XXXsPWrVtx6dIlZGRklDtSVjbN2BytVoslS5YgJCQEQUFBGDZsGBIT\\\n",
       "E3Hu3Dn079/f5GqiVUkQBCQnJ+uVXblyxeZ2iouL4e3tXatHrqlmK1tJ9ObNm1izZo2u3HCEm4gI\\\n",
       "4AghUa309NNPY9iwYfDx8cETTzyBDh06ICwsDK6ursjJycGFCxdw6NAhbN++HQMGDMCHH35Y3V2m\\\n",
       "ChKJRLh48SIaNmxY3V2xW3p6Ol5//XUsW7bM5PHBgwfrfWH99ddfsWXLFkgkkhqzKMaLL76oNyoY\\\n",
       "Hx+P9957z+Z2CgsLUadOHWRmZjqye+RAtXWE0NDIkSMxcuTI6u4GEdVgDIREtdCECRMwatQobNq0\\\n",
       "CRs3bsSXX36JvLw8APe/mLRs2RL9+vXD8ePH0aJFi2ruLTlKZGQkJBIJNBpNdXfFbh999BE8PT2N\\\n",
       "toW4efMmtm/fblRfq9VCq9VWUe/KZzhttVu3bna3lZWVhVdffRWffPJJRbtFleBhCYREROXhlFGi\\\n",
       "Wkoul2PUqFHYunUrcnJykJOTg5SUFCgUCpw7dw7Lli1jGHwImdtHrrxtOSQSCWJiYuDv719ZXbPa\\\n",
       "ggULMHLkSF2wLS0txZgxY2pU8DOntLRUb3EOFxcXqzetN+Wzzz7j1NEa6mHYh5CIyBoMhEQPCR8f\\\n",
       "H4SEhEAqlVZ3V6gSzZs3T2+FSpFIhFdeeQW5ubnIz8/HunXrjFYADQgIwPXr15GQkICEhAS91VxF\\\n",
       "IhHCw8PRtGnTKv1Su27dOtStWxfffPMNXnnlFRw+fLjKrl0eLy8vbNmyBUuXLjV5vHfv3nrvu3bt\\\n",
       "arG9gIAAs6FREAQUFBTY11GqVAyEROQsGAiJiGqw+fPnY+vWrcjOzoZSqYRYLMYzzzwDmUwGsViM\\\n",
       "oKAgTJgwATKZDDKZDMOHD8edO3ewY8cOnD59GiqVCllZWahXrx5cXFwQGhoKb29viEQiDB06FFqt\\\n",
       "Fnfu3MHly5ehVCqr9N7S09PxwgsvYPXq1VU6OiiTydCuXTtEREQYfZF/7bXXkJ+fj8GDB+ONN96A\\\n",
       "SqUyqnP48GF4enoiLS0NKSkpOH78uMXrZWdnW3wG8rPPPrOp/2q1Grdv30ZWVpbe51ZaWoqjR49i\\\n",
       "//79HHV0gMoOhJ6engyWRFQjMBASEdVgCxYswKBBgxAQEICoqCj8/PPPkMvlkEgkEAQBmZmZ6Ny5\\\n",
       "M/r06YPPPvsMe/bsgUKhQO/evREdHW00YvzZZ58hIyMDgiDAzc1N75iLi8tDvz/es88+C4VCgZMn\\\n",
       "T+L27dtQqVQYM2YMvLy88OijjxotwCSVSnHhwgWjdoqKihAaGoqIiIhytwMpW/HRHFueIVyxYgXc\\\n",
       "3NxQv3591KlTB3Xr1sXixYvx0UcfITIyEt27d0efPn2wZcsWq9ukqteyZUu9Pzdlf08lEkl1dYmI\\\n",
       "nJhI4I8RiagWys/Px/Lly636ifq8efOqoEeVw/D+GjduDLlcjosXL5ocVROJROjQoQMOHz5sFAbL\\\n",
       "NkYvO08kEiEnJwc+Pj4AgOTkZISHh9vVz7JrVfZqoB4eHqhfvz7S0tKQnZ1t07mtW7fGuXPnTB7T\\\n",
       "aDQQi8Vm/zy1b9/eaKNvRxGJRPj333/LXUG2Z8+eOHjwoNk2HvznPD4+Hrt27TJbt7abPXt2uc9u\\\n",
       "LliwAHl5efD29rap7c6dOyMxMRHvvvuu3vRqSxQKBebMmYPY2FirtgQq+z3gVzAiqgke7h8FExE9\\\n",
       "ZJKTk3Hz5k2zUywFQcDx48fx77//Gh174okn9M4TBAG+vr6IjY1F7969ERERYXN/JBIJJk+ejE2b\\\n",
       "NmHEiBFGo46O5OLigl9//RWnTp1Camoqzp49i44dOxo9M2mKh4eHxamdEonEYlBKSkqqtNFTQRAQ\\\n",
       "FRWFadOmYd++ffj333+Rk5MDpVIJpVKJhIQEuLm5mQ2DZW08qDavRFtTVMUzhJwuSkQ1AbedIKrl\\\n",
       "xo4diwkTJqBnz57V3RWqAiqVyqpRhe7duyMjI0M3Be3YsWPYvXu3ybrHjh2zqy8ikQhJSUlo06YN\\\n",
       "gPuLrcjlcqxbtw4lJSUOfy7wiSeeQHx8vC6YRUVF6fqu1WohCAKKi4uRmZmJe/fu4fLly/jzzz+R\\\n",
       "lpaGBQsWWD3aY4pIJMKFCxfQvHlzs8crMtpTXFyMzz77zObnCS21Z+ju3bvo27evQ9p3BvZsO3Hm\\\n",
       "zBl07txZVx4XF4clS5bYdE2OGhJRVWMgJKrl8vLyEB8fj/r162PcuHEYO3Ys6tatW93dokpi7chP\\\n",
       "dnY2goKC8Oabb2Lz5s12hz5LFixYgOjoaN17Ly8vfPbZZ5gwYQJyc3NRp04d5Ofn49NPP8XWrVut\\\n",
       "mk5ap04ddOvWDbdv38aFCxegVCohEonQq1cvbNy40ewoXVm5l5cXvLy80LBhQ3Ts2BGjRo2CQqGw\\\n",
       "ahSxPM2aNUPdunWRnJysVy6TyfDRRx9hwIABUKvVOHfuHNasWYOdO3eaDGZV4ezZs1CpVLpplfn5\\\n",
       "+WjZsiVXNLWBPYFQoVAgMTFRV56YmGgxED4Y/jhCSETVhYGQqJbbsmULMjMz8dNPP+GHH37AvHnz\\\n",
       "EB8fjwkTJmDw4MHchsKJ5eTk4O233660FTynTJliVCaXy9G+fXuIRCLd6GS3bt2wb98+DB06FIWF\\\n",
       "hSbbEolEGDx4ML799lt4e3tDo9Hg1q1bWLt2LQBg6tSpdv9ZlsvlDht1+fHHH9GnTx+9shYtWmD8\\\n",
       "+PFwd3cHADRt2hRDhw7F9evX0b59e4shTCKRQCaToaSkxCH9K6NQKHD58mVERUUBANLS0qBQKBx6\\\n",
       "jYedPYHQ1dVV74ckcXFxldI3IiJH4jOERA+BoKAgzJw5E2fOnEFiYiIaN26M0aNHIywsDDNmzMDV\\\n",
       "q1eru4tUTSoSBkUiEdq3b48OHToYrX74+uuvm93kXiqVwsXFRfeF2sXFBfHx8SgoKMDly5d1wQm4\\\n",
       "P7L3zjvvoLS0FJs3b4afn58uJDVp0gTz58/H/PnzERgYWKH7sJZCoUBWVpbZANm7d2+8/fbbujbD\\\n",
       "w8ORkJCgd09l99W4cWPk5+ebHbHv2bMnCgsLkZubi+nTp1vdR2sIgoCYmBgkJiaiuLgYpaWlCAgI\\\n",
       "cOg1yFh0dLRuv8+EhASbposSEVUXBkKih0hqaip27dqFXbt2QSKR4PHHH8e5c+fQsmVLfPzxx9Xd\\\n",
       "PapF3N3doVKpkJSUhOPHj6O0tBQXLlzAa6+9hnPnzhltz2Ctpk2boqioCGq1Gmq1GhqNBu+++26l\\\n",
       "b3dRVFRUbjguKCiAl5cXgoKCIJVKzU6zfe+995Ceno4zZ87g5s2b5T6beOfOHaPRzalTp2L//v1w\\\n",
       "dXWFTCbDxx9/jF27djl02qBarcajjz6KrKwsNGnSBBcvXsQ333zjsPYfdlW1qEzZD0+IiKoLAyFR\\\n",
       "LadWq/G///0PAwcORP369bFp0yZMnz4dKSkp+OGHH7B79278/PPPWLhwYXV3lWqJ6OhoFBYWGj13\\\n",
       "16JFCyxbtgytW7eu8DVcXFwc8lyfNdRqNV588UV8+eWXFutFR0ejtLQUwP1nNWNjY82OFAYFBaFN\\\n",
       "mzZW7RsnEolQVFSERo0awcvLCzt37jS5eEx8fDxUKhUeeeQRhwWEwsJCyOVySKVS+Pr6Yvz48Q5p\\\n",
       "1xlUZiB88M/Vg88Fc0EZIqoOfIaQqJYLDQ2FVqvFiBEjcOzYMbRt29aoziOPPAJfX98q7xvVDjNn\\\n",
       "zsSyZcse2lGKt99+G+vXr8f69evx2muvobCw0OS93r5926hMIpFAo9FU+LORSqUmtwIx5OLigr//\\\n",
       "/lv3vrS0FGvXrsX48ePtmv7r4uKC4OBgm8+j+yrz7wTDHxHVFBwhJKrlPv74Y6SkpGDVqlUmwyAA\\\n",
       "+Pr64saNG1XbMaoVpFLpQx0GAWDHjh26XxcXF6Np06Ym67Vq1cqoTBAE/PDDD3plKpUK+/fvx+XL\\\n",
       "lx3bURNcXFwwduxY/Pnnn3adv2rVKgf3yHlUxZRRIqKagIGQqJYbPXp0hfZXI+fmDM8vtWzZUu/9\\\n",
       "v//+izt37hjVS0pKMlocBgC2bdsGtVoNrVaLc+fOwd/fH7169ULz5s3h7+9v1XYaFRUfH2/V9NQH\\\n",
       "RUREYOLEiUblgiDU+pdcLq/0gMZASETOgoGQiKgGe/TRR+Ht7V1p7SsUikrblsKQtXso2uLAgQN4\\\n",
       "8803Le7399///teo7NFHHzUqc3FxQWFhIb7++mt4eHhAIpEgNjYWK1asAADcu3cPjz/+OIqKinTn\\\n",
       "5OTkQCaT4fjx4xW/GQvEYrHJsFrW76CgIPj4+EAmk8HLyws//vijySmwZD0GQiJyFgyEREQ12M6d\\\n",
       "O5GXl4dDhw5VSvuCIJQ7HTE7OxsBAQFwc3Mzmj75YDuff/45+vfvjz///FNvcZYlS5boFpGRSCR4\\\n",
       "+eWX9UKoIAhYv369LoT5+fkhLS2t3L6PHz8ecXFx+PDDD+Hp6Wl2yrSPjw/q1aunV5aenm6yrkgk\\\n",
       "woQJE1BYWIjS0lIkJCSgbt26kEql8Pb2Njsa2KlTJzRs2LBSw3Xjxo2N+nrkyBGo1WpkZGQgNzcX\\\n",
       "SqUS+fn5GD16dKX1g4iIHi5cVIaIqBbo1q0bfvzxR4wZM8bhbT/99NNmR9i0Wi0CAwN1C2A8//zz\\\n",
       "0Gg0eqtVCoIAV1dXqFQqAMBff/0F4P7ziRqNRi8kabVafPHFF1i9ejUaNGgAFxcXXLt2Ta9Obm4u\\\n",
       "wsLCUFRUBDc3N7P9/v777/X6cObMGWg0GpNTK69fvw5PT0/d5uwNGjQo51MxJpfL8dZbb+HVV181\\\n",
       "efzGjRuQSCTo2bMntm7dCi8vL13fANs2Ojflu+++Q0xMDDQaDQICApCSkgKZTGZ3e2SZPRvTExHV\\\n",
       "RhwhJCKqJUaPHl0pAaCkpATZ2dkmjy1btsxoNUTD59JWrVqlC4MPKnvuzhRBEHDjxg1cvXrVZB1B\\\n",
       "EIye/XtQaWmpTas0SiQS3X58AQEBeO+996w+90FTp0412lPQ0IEDB+Dj4wOxWAyxWAyJRKJ7+fv7\\\n",
       "IzEx0a5rR0dHIzs7G3l5ecjKymIYrGScMkpEzoKBkIioFtm4cWOltGtu1MvU/pVarVbvecDK2uPy\\\n",
       "5s2bZo+Zeh4xNDTU4sIrHh4eOH/+PA4fPozevXvb1SexWIz//e9/dp0rCAJycnLQuXNnhIaGWnzu\\\n",
       "0Rxvb+9KfaaU/h8DIRE5CwZCIqJapF+/fpXS7s8//2yy/MEFVMwpm4ZpSkW/KJsaeQTuh9IHN7af\\\n",
       "M2eOVYuoyGQyNGvWzOJU1PIMHDiwwveVlpaGdu3aVeozh0VFRUhOTkZ2djYUCgXUanWVrIj6sGAg\\\n",
       "JCJnwUBIRFSLiMWV879tlUplNGJ15swZs/UfHInz9PQ0WcfX1xdZWVnIyclBjx499I6JxWI89thj\\\n",
       "OHv2LLZs2WJyBU2RSKRbnMZQXl4e6tevj4CAAPz5559YuHChXkCsTCKRqMJbvZTdW2WsvLpq1SpI\\\n",
       "JBJ4enoiPDxctyCQTCbjNFMbMBASkbNgICQiqkWUSmWltb19+3a991OmTDFZz/DLr7kpjKtWrYK/\\\n",
       "vz98fX2xc+dOdOnSBS4uLpDJZBg5ciQ2b96MqKgoDB48GBcvXoRcLtc739XV1WTIEwQB169fR/Pm\\\n",
       "zfHGG2+Y3EKistny/KIhkUgEDw8PPP/88w4PsdevX8e0adOqbCsRIiKq/bjKKBFRLfLdd99VWtvD\\\n",
       "hw/HoUOH0L59e7z//vs4fPiwyXqGi6r4+voa1RGLxXjuued0711dXXHkyBEIgmByNKVevXpQKBTI\\\n",
       "zc3F2rVrERISgscee0w3oiUIAvLy8vD111/jhx9+QElJCSZPnowZM2Y4ZNS0uLgYGo0Gnp6e5Y72\\\n",
       "aDQai9NkLenQoQP++OMPBAYG2rzRfHlWr16NyZMnO7RNZ8ZVRonIWTAQEhHVAoIg4N69e3avjmnt\\\n",
       "Nbp161ZuPcM9/VJSUozqhISEmDy3vC/Ovr6+RiOTarUaMTExOHfunF473t7eDgmDmZmZukAql8vx\\\n",
       "77//Ijw83Gz9pk2b2nUdDw8PJCQk2BwEt23bhiNHjuCdd94x++zjb7/9xjDoYAyEROQsOGWUiKgG\\\n",
       "K9u2QC6Xo379+sjPz6/uLmHJkiV671NTU43qxMbGOux6t27d0guDwP3wau75QltNmzZNN+KnVCoR\\\n",
       "ERGB69evm6z7xhtvmD1WHj8/P5vDYEREBAYOHIhFixbB3d0d69atM6pz8uRJDBkyxK4+kXl8hpCI\\\n",
       "nAUDIRFRDSYIArRaLdRqNYqLi+Ht7Y0ePXpU2QIqpjwYPswFs/j4eIdd7/Tp0ybLfXx8HNL+H3/8\\\n",
       "YVTWqlUrozKNRoNly5bZfZ20tDSbnj1s0qQJ7t69q1c2cuRItG7dGkVFRVAqlRg3bhxiYmLs7hOZ\\\n",
       "x0BIRM6CgZCIqBaZM2cO9u3bh7y8vGoJhfv27dObpmlukZsnn3zSYdc0t4ppmzZtyj3XmgBmaj9A\\\n",
       "U/dlbqEWFxcXvPLKK/jggw+MFsZ5UGlpqcnwaUij0aBOnTr4999/TR7/559/4OnpCVdXV3z//ffl\\\n",
       "tkf2YSAkImfBQEhEVIs899xzEIvFcHd3x/r16606Ry6XY+TIkTh48CDOnj2L//73v3Y9e/f8888j\\\n",
       "Li5Or8zUF2GxWIzg4GCb2zfH3HONDRo0MHuOIAjo378/PDw88MILL5itp9VqTQY9U6OPUqkUs2fP\\\n",
       "1t2zXC7HmTNnoFar8emnn2LWrFkoKSmxuCXF4MGDcePGDaNypVKJhIQENGnSBC4uLsjMzDTbBhER\\\n",
       "kSMxEBIR1SL//POP7teGe/sZat26NQRBgEKhwJo1a9C9e3dERUVh0qRJ0Gg0yMvLs3pkQy6Xm1zh\\\n",
       "VC6Xo2fPnrr3bdu2RWlpqUNHTLy8vEwupmJuNK60tBQSiQR//fUXSkpK8M0336Bz584m63bo0MFk\\\n",
       "+b1790yWL1q0CFqtVve5Go5SikQii6OAgiCgYcOGRqNLrq6u6NKli9lRQap6HCEkImfBQEhEVIsM\\\n",
       "HjxYN6K1YsUKi3UtbSwP3N8/8M6dO1Zd19KI4t69e3H27Fnk5ubi1KlTel+OtVotWrZsCZlMhhEj\\\n",
       "Rlh1LVM+/vhjo7KLFy+arBsSEmI0VfTYsWNGm8BfuXIFp06dMjo/JiamQquXmtu/sTK4urpi7ty5\\\n",
       "2LdvH5YvX44GDRownDgIAyEROQsGQiKiWiQvLw/Dhw/H5s2b8dFHH5mt5+/vb1WoqVu3Lo4ePVpu\\\n",
       "vZKSErPP44nFYkRFRZmcZvnFF1/g4sWLUKvV2LBhg8XtHCwxtfl8x44dkZ6ernuv1WrRv39/k6N7\\\n",
       "giCgZ8+e0Gg0EAQBGzduRLNmzUxe69ChQ3b1EQDeeustXL582e7zbdG8eXOUlJRgwYIFiIuLw4wZ\\\n",
       "M3Djxg2o1Wqjqb1kOwZCInIW3IeQiKiW+d///octW7YYjXg9qGvXrla317lzZyQlJaFDhw4WF2Fp\\\n",
       "3769yRE1S37++We998nJydi9e7fNq5D+8ssvRmUqlQohISGQyWSQSqVQKpUWt6I4cuQI5HK5buVW\\\n",
       "U6RSqcVnAM3JyspCWFgY1Gq1zefa68Hpww+SSCT4+++/4e7ubnbRHyof9yEkImfBEUIiolrIUhgE\\\n",
       "gMDAQJvaa9++PVJSUizuk3f69Gl0795dL0yVPU9nzuuvv25UZusG6oIgYPbs2WaPq1QqFBUVWbUv\\\n",
       "oUajMRsGAZh91tCScePGISgoqErDoI+Pj8URYLFYjJYtW1ZZfx5WHB0kImfAQEhE9BAyt3efJSEh\\\n",
       "IVizZo3FOocPH4ZEIoG7uzs8PDzg7e1tMeANHDjQKGT6+vra1K/g4GCLIc6RcnNzjcrK9oE0FXwn\\\n",
       "T55cLVs/zJkzp9w65qbEEhERPYiBkIjoIWRuOmF5AgMDrXr2sKSkBMXFxSgqKsI333wDlUplsp5I\\\n",
       "JEJxcbFuRVCJRII///zT6v5ERERU6RYM58+fx9dff43i4mKkpqbC3d0dEokEMpkMEokEHTp0QG5u\\\n",
       "LtRqNX7//XesXr26yvr2oFdeeaXcOhy5qhg+Q0hEzoKBkIjoIaRWq5GammpT/TfeeAMDBw60azTO\\\n",
       "xcX8I+kymQwKhQL5+fkoLi62ejpr+/btcffuXZv64e7uXqEVQgVBwMSJE+Hh4YGwsDCUlJToHUtK\\\n",
       "SkLdunUxY8YMvPXWW3Zfx1ZloUMqleKHH36ATCYr95z8/Pwq6NnDi4GQiJwFAyER0UPK0sbtD3rx\\\n",
       "xRchk8mwbNkyuxYh+fLLL60KYV5eXlYFGQDIzs62aQEbsViMxx9/HFlZWTh9+nSlfkHXaDSIj4/H\\\n",
       "N998g4YNG1badcqIRCK0a9cO69evR3JyMsaMGWPVebdv367knj3cGAiJyFkwEBIRPaRUKhWeffZZ\\\n",
       "i3WGDx+OL7/80q725XI5Ll++jHHjxtl1viWPP/64TfXHjx+PLVu2wM3NDVFRUfjiiy/M1q3IKKJI\\\n",
       "JEJiYiKGDBmC2NhYXLt2DXl5eXj55ZfRuHFjREdHY/To0ejbty+kUqld1zAkCALu3buHNm3aICAg\\\n",
       "wOrzrl275pDrOysGQiJyFgyEREQPsY0bN+LSpUsmj2m1WmzatMmudleuXAmFQoGmTZtWpHsmCYKA\\\n",
       "M2fO2HTOrFmz9ALYiy++aLR9hFgsRn5+PoqKinDv3j2bv8TLZDIUFBQgOjpar9zb2xurVq3C1atX\\\n",
       "cfr0afz444/466+/oFAo7N530dCtW7fQvXt3HDlyxOKqrmXUajWKi4sdcm1nxUBIRM6CgZCI6CHX\\\n",
       "okULk8+TmQuK5dmxYwemTJli0zmCIEClUqGkpKTcZxQ///xz3SI1YrEYzz33HFJTU3H16lWzzx+m\\\n",
       "paUZlV27dk33RV0ikUChUMDLywvA/ZVO27Zta1XfpVIp/v77byiVSnh4eFh1TlnfL1265LCwkJ2d\\\n",
       "jR49eqBBgwYoLCw0W08QBAQHBzvkms6MgZCInAUDIRGRE/Dx8UFycrJemT1TPYOCgvDoo4+aPa7R\\\n",
       "aJCVlYWEhAQsXrwY0dHRkMvlEIvFkMvlulU7XVxcEBMTgyNHjiA/Px85OTlYt24dvLy8MHXqVGi1\\\n",
       "WshkMty+fRtr165FSEgIGjdujFu3bpn88v3ss88abRkRFhaGZcuWoW/fvigsLDSawrl+/XqL9xoe\\\n",
       "Hg61Wg2VSoVHHnnE+g/pAR4eHoiLi7PrXHNu374NLy8v+Pr64scff0RWVhaKioqQlZWFRYsWQSqV\\\n",
       "Iicnx+z5tgadmvhSKpUQBMHii4iIrGN+WTgiInqohIeHo3Pnzti5cyd27tyJ48eP29xG+/btTQay\\\n",
       "kydPok+fPib38TNFo9Hg5MmT6Natm9k6Pj4+qFu3rl6Zm5sbRCKR0Rf+5ORkREREIDc3V7fvoSAI\\\n",
       "eO655zBx4kSj6aMA0LBhQ0gkEmg0Gl2ZWCzG0qVLMXPmTIeN+vz888+oV68eFAqFQ9ork5eXh7Fj\\\n",
       "xzq0Tfp/toz8cYSQiGozBkIiIieSkJAAb29vi3XEYjHEYjE0Go1e8JJIJIiNjYVWq9WFrlu3bqFV\\\n",
       "q1YoKipyeF8LCgpMlpmbclpYWAgPDw98+OGHaNOmDXbv3o0bN27gjTfeMHrur8yMGTPw+++/o0+f\\\n",
       "PliyZIluSqkjBQUF4ddff8Uzzzxj8p6oZmIgJCJnwUBIRER6pFIpwsLCUKdOHd3+gV5eXhg6dCgm\\\n",
       "TZoEjUaDwsJCjBo1Cn/88Uel9UOhUODKlSu6hWs0Gg0aN25s8RylUolp06bpla1fvx7PPfccvvzy\\\n",
       "S7i6ukKr1SIrKwvnz5/HhAkTsGTJkgrtXWiNxx57DCdPnkS7du0sPv9HNQcDIRE5CwZCIqJayHCq\\\n",
       "oyMplUpIJBKsWbMGkZGREIvFel94tVotNm/eXKlhsEzz5s3RrVs3BAYGYtu2bVCr1Ta3odVqsWbN\\\n",
       "GqxZs0avXCKR4KuvvkLz5s0d1V2LGjdujDVr1mDIkCFVcj2qGAZCInIWXFSGiKiWEYlEaNSokU0r\\\n",
       "XtoqJSUFDRo0gEQiMfqyKxaL4eJSNT9PFAQBhw4dwpYtW+wKg5ZoNBqbV0utqIEDB1ZaeHB3d8fX\\\n",
       "X3+Nu3fv4vLly3jppZcctheiM+Iqo0TkLBgIiYhqGUEQcOPGjUrdZ06hUOieEzSlf//+lXbtqlRS\\\n",
       "UoKkpCSHtqlSqTBw4EB07doVKSkpesfKns90JJFIhEOHDqGoqAgTJkxA3bp10bRpU3zxxRdQqVS4\\\n",
       "ceNGpTwbSUREDwcGQiKiWkitVptcWt/T09Mho0Ll7RUYEBBgMTDWJp06dTI5/dberQv8/Pywbds2\\\n",
       "HD16FHXr1sXs2bN1xxQKRbmfrS1CQkKgUCgsrtbaoEED5Ofno7CwEKtWrXLYtR92HCEkImfBQEhE\\\n",
       "9JCQSCRo0aIF3N3dHdKepUAkEonQpUsXh1ynumm1Wsjlchw9ehSFhYX466+/4OPjAxcXF6xdu9bm\\\n",
       "tgxHbj/44AMEBwdj06ZNiI6OrtAeeTKZDGPHjsXly5dRWlqK1NRUyGQyq8718PDAyy+/bPe1nQ0D\\\n",
       "IRE5Cy4qQ0T0kNBqtUhNTUVJSYlD2jt//jzatGlj9vjgwYORmJiI0tJSiEQiuLq6IigoCBqNBunp\\\n",
       "6Q5/5q8yaTQadO3a1ah81KhRePbZZ60eDTU3HTQjIwPDhw+vUB/37t2LXr16VagNsh4XlSEiZ8ER\\\n",
       "QiKih4QgCEhOToZKpXJIe+3btzcZ6tRqNX7++Wd8/fXX8PHxQZcuXbBv3z5kZ2fj+vXruHXrFjIz\\\n",
       "MzF37lz4+fmZXJimNjl79qxN9bt37+7wPnTv3t1hYVAQhFr/ksvllT5ixxFCInIWDIREZJJarcas\\\n",
       "WbMQFRUFDw8PhIWFYcyYMUaLZJiyatUqNGjQAK6uroiNjcWxY8f0jisUCkyZMgUBAQHw9PTEsGHD\\\n",
       "kJ6eXlm3Uqt17doVvr6+VtevyHREQxqNBjKZDHXr1kXXrl0RGhoKqVQKmUyGZ555BpcvX0Z+fj4m\\\n",
       "T56M7t27Qy6X6xZN8fHxwYIFC5CdnQ21Wg2NRgOtVguNRoPi4mKsXbu2ylYqrag5c+bYVP/AgQMO\\\n",
       "78PXX3/t8DbJMgZCInIWDIREZFJxcTFOnjyJOXPm4OTJk/j1119x+fJlDBo0yOJ5GzduxMyZMzFv\\\n",
       "3jycPHkS0dHR6NevHzIyMnR1ZsyYga1bt2LTpk3Yv38/UlJS8OSTT1b2LdVKhw8fRk5ODgoLC6tt\\\n",
       "EZeUlBQcPXoUaWlpKC0t1TumUqlw9epVi1+IH/zSLBaL4ebmhueeew4lJSW1YmGavXv32lRfJBLh\\\n",
       "hx9+cGgftm/f7tD2iIiIyjAQEpFJPj4+2LVrF4YPH45mzZqhc+fOWLlyJZKSknD79m2z5y1fvhwT\\\n",
       "J07EuHHj0LJlS6xevRru7u749ttvAQB5eXn45ptvsHz5cvTu3RsxMTH47rvvcOTIESQkJFTV7dU6\\\n",
       "Hh4eeOutt6q7GyYdOXLErvNcXFwsbgpfU0ZdlEqlzec888wzDu3Dxx9/XOE2iouLkZqa6oDeOAeO\\\n",
       "EBKRs2AgJCKr5eXlQSQSmZ3CqFKpkJSUhPj4eF2ZWCxGfHw8jh49CgBISkqCWq3Wq9O8eXPUq1dP\\\n",
       "V4dMW7hwIdq1a1fd3TCyb98+u6eqWvohQMOGDdGiRQuzxzt27IiDBw/i/fffr9SRRo1GA4VCYdM5\\\n",
       "crncoZvC37lzB82aNbNry4oNGzZALBbrpn6TdRgIichZMBASkVUUCgVmzZqFESNGwNvb22SdrKws\\\n",
       "aDQaBAcH65UHBwcjLS0NAJCWlgaZTGYUKh+sY4pSqUR+fr7eyxmdPHkS7777bnV3Q09paSlat25t\\\n",
       "17mW9k08deoULly4AKVSaVRn7dq1OHbsGLp374633noLpaWlusVGKkO9evVsPsfRfbly5QokEgnE\\\n",
       "YjHu3btn1TlBQUEYMWKEQ58tdSYMg0TkDBgIiQjA/S/Ynp6eutfBgwd1x9RqNYYPHw5BEPDFF19U\\\n",
       "S/8WL14MHx8f3SsiIqJa+lETvPPOOxg5cmR1d0PPhQsX8O+//9p17qOPPmpUJhKJ4OnpCeD+3nuG\\\n",
       "++f17t3bZFv29qE8mZmZNq3eeu/ePRQWFlZKXwRBQHBwsNHznIb27duHrKysSumDM6jKEUKGSyKq\\\n",
       "TgyERAQAGDRoEE6fPq17dejQAcD/h8Fbt25h165dZkcHASAwMBASicRoxdD09HSEhIQAAEJCQqBS\\\n",
       "qZCbm2u2jimzZ89GXl6e7nXnzh077/ThsGbNGmRnZ+PZZ5+1emPyyta0aVOzUxo1Gg3y8vJMjlQt\\\n",
       "W7bMqMywnuEIXV5ensnrhIeHW9tdm1mavlqmuLgYEyZMQGBgYKX1A7j/eZpbaEar1WL9+vV45JFH\\\n",
       "KrUPD7uqCoQMgURU3RgIiQgA4OXlhcaNG+tebm5uujB49epV7N69GwEBARbbkMlkiImJwZ49e3Rl\\\n",
       "Wq0We/bsQZcuXQAAMTExkEqlenUuX76M27dv6+qYIpfL4e3trfdydn5+fli/fj2USiUSEhKq/Yul\\\n",
       "IAioX7++UXlpaSm8vLzg6+sLqVSKmzdv6h0PCgoy2d6DI3KLFi3SO2ZpFU9/f3+T5WFhYejVqxfc\\\n",
       "3d3NnmvJ9evXTT7nqlar0aFDB91zemULKFUmT09P1K9fH/n5+Thw4AAaN24MqVQKsVgMiUSC5557\\\n",
       "rtL78LCrikDYt29fB/eaiMh2DIREZJJarcZTTz2FEydOYO3atdBoNEhLS0NaWpreF/U+ffpg5cqV\\\n",
       "uvczZ87EV199hR9++AEXL17E5MmTUVRUhHHjxgG4v3rphAkTMHPmTOzduxdJSUkYN24cunTpgs6d\\\n",
       "O1f5fdZ0Hh4e8PDwgL+/PwYOHGg0slomNjYWCxYsqNrOmXD37l2jaYqrV69GSUkJgPsjW5GRkfjk\\\n",
       "k090x//66y+TbT333HNQq9VISEgwembuq6++MtuH8+fP672XyWQoKipCcnIy9u7di6KiIhQWFtoV\\\n",
       "DLt27YpnnnkGOTk5SE5ORuvWrSGTyZCUlFQlz+mJRCJ8++23yMvLQ3R0NFQqFR599FFcu3ZN9xwl\\\n",
       "VZ8zZ86gc+fOutesWbMs1t+1axcAx+4fSkRkKwZCIjIpOTkZv//+O+7evYu2bdsiNDRU93pwm4Fr\\\n",
       "167pBYBnnnkGy5Ytw9y5c9G2bVucPn0aO3bs0Fto5uOPP8bAgQMxbNgw9OzZEyEhIfj111+r9P5q\\\n",
       "i+LiYhQXFyMnJwfbtm2Dn58frl27ZrLum2++WcW9M61Tp05673fs2GFUZ/r06fD19cVTTz2l+2GB\\\n",
       "oV9//RWhoaHo2rWr0bHs7Gyz1w8NDUViYiKaNGmCDz74AEql0ij8eXh4oKioCG5ubtbckp6ff/4Z\\\n",
       "/v7+CA8Pxz///GPz+WUkEgmGDh2KJUuWIDIystz6bm5uKC0txbhx4yAW3//n28/PD2q12u4+kHn2\\\n",
       "jBAqFAokJibqXkuXLrXYPgBMmTKlSu6HiMgcl+ruABHVTA0aNLDqp9aG0/8AYOrUqZg6darZc1xd\\\n",
       "XbFq1SqsWrWqIl10Wi1btjS5N15VPEsYFhaGy5cvw93dHfv37ze5uIvhPpW9e/fGtm3bjOrl5eXh\\\n",
       "f//7n8XrmVtNs7ztFzp16oQrV65YrAMAt27dQp06dcqt52guLi7Izs6Gl5cXAOCNN95Ajx49cPjw\\\n",
       "YbPn5OXl6YJgmcrcbsPZ2TIVtKyeq6sroqOjdeVxcXEm6z/4g4gHZ1gQEVUHjhASEdUyKpXKZCCq\\\n",
       "7GcIBw8ejOTkZHh6ekIsFuORRx7BG2+8YVTPsG+jRo2q1H5VhLnnFyvb0qVLdWEQuP97ZykYeHh4\\\n",
       "mN2eo6YsKvSwsWeEMDo6GgkJCbrXkiVLTLb94L6WhsFTJBKZ/AEKEVFlYSAkIqqFqnqaoEgkMjma\\\n",
       "Z81zi35+fpXRJYcxHHWrCqa2DTG3GA4Ai1NKy7bnIMeqzEVlevbsafH4gAEDKtJ1IiKbcMooEVEN\\\n",
       "ZutiE1W9OIWbm1u515RKpTV60QyNRlPdXQBwf2sNez4n7jVYOeyZMmqt/fv3m22jJv9dIaKHE0cI\\\n",
       "iYiIiIiInBRHCImIiIgMVOYIoSkcGSSi6sJASERERGSgqgMhEVF1YSAkIiIiMsBASETOgoGQiIiI\\\n",
       "yAADIRE5CwZCIiIiIgMMhETkLLjKKBERERERkZPiCCERERGRAY4QEpGzYCAkIiIiMsBASETOgoGQ\\\n",
       "iIiIyAADIRE5CwZCIiIiIgMMhETkLBgIiYiIiExg0CMiZ8BVRomIiIiIiJwURwiJiIiIDHDKKBE5\\\n",
       "CwZCIiIiIgMMhETkLBgIiYiIiAwwEBKRs2AgJCIiIjLAQEhEzoKBkIiIiMgAAyEROQsGQiIiIiID\\\n",
       "DIRE5Cy47QQREREREZGT4gghERERkQGOEBKRs2AgJCIiIjLAQEhEzoKBkIiIiMgAAyEROQsGQiIi\\\n",
       "IiIDDIRE5CwYCImIiIgMMBASkbPgKqNEREREREROiiOERERERAY4QkhEzoKBkIiIiMgAAyEROQsG\\\n",
       "QiIiIiIDDIRE5CwYCImIiIgMMBASkbNgICQiIiIywEBIRM6Cq4wSERERERE5KY4QEhERERngCCER\\\n",
       "OQsGQiIiIiITGPSIyBkwEBIREREZ4AghETkLBkIiIiIiAwyEROQsGAiJiIiIDDAQEpGzYCAkIiIi\\\n",
       "MsBASETOgttOEBEREREROSmOEBIREREZ4AghETkLBkIiIiIiAwyEROQsGAiJiIiIDDAQEpGzYCAk\\\n",
       "IiIiMsBASETOgoGQiIiIyAADIRE5C64ySkRERERE5KQ4QkhERERkoDJHCE3VF4lE0Gq1NrVDROQI\\\n",
       "HCEkIiIiMlAWCK19VZQgCBg8eLADek5EZBsGQiIiIiIDlRkIBUHQe4WEhAAAfv/998q4FSIiizhl\\\n",
       "lIgeegsWLKjuLhBRLWPPlNEzZ86gc+fOuvK4uDgsWbKk3PMzMzPt6yQRkQMwEBIREREZsCcQKhQK\\\n",
       "JCYm6soTExPLDYQnT56ERqMBcH/kkIioqjEQEhERETmAq6sroqOjde/j4uLKPScmJgYA4O7uXmn9\\\n",
       "IiKyhIGQiIiIyIA9I4TR0dFISEiw6RoAIJVKUVRUZHsniYgcgIvKEJFVXnrpJYhEIqxYsaLcuqtW\\\n",
       "rUKDBg3g6uqK2NhYHDt2TO+4QqHAlClTEBAQAE9PTwwbNgzp6emV1HMiIttV5qIyqampunNEIhFU\\\n",
       "KlVl3AIRkVUYCImoXJs3b0ZCQgLCwsLKrbtx40bMnDkT8+bNw8mTJxEdHY1+/fohIyNDV2fGjBnY\\\n",
       "unUrNm3ahP379yMlJQVPPvlkZd4CEZFNKjMQPvj/Ul9fX/j7+8Pf3x/jxo1z9G0QEZWLgZCILEpO\\\n",
       "TsYrr7yCtWvXQiqVllt/+fLlmDhxIsaNG4eWLVti9erVcHd3x7fffgsAyMvLwzfffIPly5ejd+/e\\\n",
       "iImJwXfffYcjR47YNNWKiKiyVcUehDk5ObrX999/75iOExHZgIGQiMzSarUYPXo03njjDbRq1arc\\\n",
       "+iqVCklJSYiPj9eVicVixMfH4+jRowCApKQkqNVqvTrNmzdHvXr1dHWIiKpbVe5D+OCLiKiqcVEZ\\\n",
       "IjJryZIlcHFxwbRp06yqn5WVBY1Gg+DgYL3y4OBgXLp0CQCQlpYGmUwGX19fozppaWlm21YqlVAq\\\n",
       "lbr3+fn5Vt4FEREREZnDEUIiAgCsXbsWnp6eutf+/fvxySef4Pvvv6/wlChHWLx4MXx8fHSviIiI\\\n",
       "6u4SET3EKnOEkIioJmEgJCIAwKBBg3D69Gnd68iRI8jIyEC9evXg4uICFxcX3Lp1C6+99hoaNGhg\\\n",
       "so3AwEBIJBKjFUPT09MREhICAAgJCYFKpUJubq7ZOqbMnj0beXl5utedO3cqdL9ERJYwEBKRs+CU\\\n",
       "USICAHh5ecHLy0v3ftKkSXjiiSf06vTr1w+jR482uxKeTCZDTEwM9uzZgyFDhgC4/xzinj17MHXq\\\n",
       "VAD3N2GWSqXYs2cPhg0bBgC4fPkybt++jS5dupjtn1wuh1wur8gtEhFZzZ59CImIaiMGQiIyKSAg\\\n",
       "AAEBAXplUqkUISEhaNasma6sT58+GDp0qC7wzZw5E2PHjkWHDh3QqVMnrFixAkVFRboQ6ePjgwkT\\\n",
       "JmDmzJnw9/eHt7c3XnnlFXTp0gWdO3euuhskIrKAgZCInAUDIRFVyLVr15CVlaV7/8wzzyAzMxNz\\\n",
       "585FWloa2rZtix07dugtNPPxxx9DLBZj2LBhUCqV6NevHz7//PPq6D4RkUkMhETkLBgIichqN2/e\\\n",
       "tKps6tSpuhFDU1xdXbFq1SqsWrXKgb0jInIcBkIichZcVIaIiIiIiMhJcYSQiIiIyABHCInIWTAQ\\\n",
       "EhERERlgICQiZ8FASERERGSAgZCInAUDIREREZEBBkIichYMhEREREQGGAiJyFlwlVEiIiIiIiIn\\\n",
       "xRFCIiIiIgMcISQiZ8FASERERGSAgZCInAUDIREREZEBBkIichYMhEREREQGGAiJyFkwEBIREREZ\\\n",
       "YCAkImfBVUaJiIiIiIicFEcIiahWEgShurtARDVcRf4/UVBQYPXIX0FBgd3XISKqbgyERFQrFRQU\\\n",
       "YMGCBdXdDSKqwQoKCuDj42PTOR06dEBiYiIiIiJsvl6HDh1sPoeIqLqJBP6YnYhqIa1Wi5SUFHh5\\\n",
       "eTn18zv5+fmIiIjAnTt34O3tXd3dqTb8HO7j53CfIAgoKChAWFgYxGLbn46ZOnUqTpw4YdM5HTp0\\\n",
       "wMqVK22+FhFRdWMgJCKqxfLz8+Hj44O8vDynDgD8HO7j50BERLbiojJEREREREROioGQiIiIiIjI\\\n",
       "STEQEhHVYnK5HPPmzYNcLq/urlQrfg738XMgIiJb8RlCIiIiIiIiJ8URQiIiIiIiIifFQEhERERE\\\n",
       "ROSkGAiJiIiIiIicFAMhEVENolarMWvWLERFRcHDwwNhYWEYM2YMUlJSyj131apVaNCgAVxdXREb\\\n",
       "G4tjx47pHVcoFJgyZQoCAgLg6emJYcOGIT09vbJupULKuxdDmzZtQvPmzeHq6oqoqChs375d77gg\\\n",
       "CJg7dy5CQ0Ph5uaG+Ph4XL16tTJvocIWL16Mjh07wsvLC3Xq1MGQIUNw+fLlcs97GD8LIiKqPAyE\\\n",
       "REQ1SHFxMU6ePIk5c+bg5MmT+PXXX3H58mUMGjTI4nkbN27EzJkzMW/ePJw8eRLR0dHo168fMjIy\\\n",
       "dHVmzJiBrVu3YtOmTdi/fz9SUlLw5JNPVvYt2cyae3nQkSNHMGLECEyYMAGnTp3CkCFDMGTIEJw/\\\n",
       "f15XZ+nSpfj000+xevVqJCYmwsPDA/369YNCoaiq27LZ/v37MWXKFCQkJGDXrl1Qq9Xo27cvioqK\\\n",
       "zJ7zsH4WRERUiQQiIqrRjh07JgAQbt26ZbZOp06dhClTpujeazQaISwsTFi8eLEgCIKQm5srSKVS\\\n",
       "YdOmTbo6Fy9eFAAIR48erbzO26G8ezE0fPhwYcCAAXplsbGxwosvvigIgiBotVohJCRE+PDDD3XH\\\n",
       "c3NzBblcLqxfv74S7qByZGRkCACE/fv3m63jLJ8FERE5DkcIiYhquLy8PIhEIvj6+po8rlKpkJSU\\\n",
       "hPj4eF2ZWCxGfHw8jh49CgBISkqCWq3Wq9O8eXPUq1dPV6cmsOZeDB09elSvPgD069dPV//GjRtI\\\n",
       "S0vTq+Pj44PY2Ngade/lycvLAwD4+/ubreMsnwURETkOAyERUQ2mUCgwa9YsjBgxAt7e3ibrZGVl\\\n",
       "QaPRIDg4WK88ODgYaWlpAIC0tDTIZDKjUPlgnZrAmnsxlJaWVu69l5VZ22ZNo9VqMX36dHTr1g2t\\\n",
       "W7c2W88ZPgsiInIsBkIiomq0du1aeHp66l4HDx7UHVOr1Rg+fDgEQcAXX3xRjb2k6jZlyhScP38e\\\n",
       "GzZsqO6uEBHRQ8alujtAROTMBg0ahNjYWN37unXrAvj/MHjr1i38/fffZkcHASAwMBASicRoxdD0\\\n",
       "9HSEhIQAAEJCQqBSqZCbm6s3SvhgnZrAmnsxFBISUu69l5WFhobq1Wnbtq0De185pk6dij/++AMH\\\n",
       "DhxAeHi4xboP+2dBRESOxxFCIqJq5OXlhcaNG+tebm5uujB49epV7N69GwEBARbbkMlkiImJwZ49\\\n",
       "e3RlWq0We/bsQZcuXQAAMTExkEqlenUuX76M27dv6+rUBNbci6EuXbro1QeAXbt26epHRkYiJCRE\\\n",
       "r05+fj4SExNr1L0bEgQBU6dOxebNm/H3338jMjKy3HMe1s+CiIgqUXWvakNERP9PpVIJgwYNEsLD\\\n",
       "w4XTp08LqampupdSqdTV6927t/DZZ5/p3m/YsEGQy+XC999/L1y4cEGYNGmS4OvrK6SlpenqvPTS\\\n",
       "S0K9evWEv//+Wzhx4oTQpUsXoUuXLlV6f9Yo715Gjx4t/Oc//9HVP3z4sODi4iIsW7ZMuHjxojBv\\\n",
       "3jxBKpUK586d09X54IMPBF9fX+G3334Tzp49KwwePFiIjIwUSkpKqvz+rDV58mTBx8dH2Ldvn96f\\\n",
       "g+LiYl0dZ/ksiIio8jAQEhHVIDdu3BAAmHzt3btXV69+/frCvHnz9M797LPPhHr16gkymUzo1KmT\\\n",
       "kJCQoHe8pKREePnllwU/Pz/B3d1dGDp0qJCamloFd2U7S/cSFxcnjB07Vq/+zz//LDRt2lSQyWRC\\\n",
       "q1athG3btukd12q1wpw5c4Tg4GBBLpcLffr0ES5fvlwVt2I3c38OvvvuO10dZ/ksiIio8ogEQRCq\\\n",
       "Z2ySiIiIiIiIqhOfISQiIiIiInJSDIREREREREROioGQiIiIiIjISTEQEhEREREROSkGQiIiIiIi\\\n",
       "IifFQEhEREREROSkGAiJiIiIiIicFAMhERERERGRk2IgJCKiWuGbb75B3759K/06O3bsQNu2baHV\\\n",
       "aiv9WkRERNWNgZCIiGo8hUKBOXPmYN68eZV+rf79+0MqlWLt2rWVfi0iIqLqxkBIREQ13i+//AJv\\\n",
       "b29069atSq73/PPP49NPP62SaxEREVUnBkIiIqoymZmZCAkJwaJFi3RlR44cgUwmw549e8yet2HD\\\n",
       "BjzxxBN6Zb169cL06dP1yoYMGYLnn39e975BgwZ47733MGbMGHh6eqJ+/fr4/fffkZmZicGDB8PT\\\n",
       "0xNt2rTBiRMn9Np54okncOLECVy7ds3+myUiIqoFGAiJiKjKBAUF4dtvv8X8+fNx4sQJFBQUYPTo\\\n",
       "0Zg6dSr69Olj9rxDhw6hQ4cOdl3z448/Rrdu3XDq1CkMGDAAo0ePxpgxYzBq1CicPHkSjRo1wpgx\\\n",
       "YyAIgu6cevXqITg4GAcPHrTrmkRERLUFAyEREVWpxx9/HBMnTsTIkSPx0ksvwcPDA4sXLzZbPzc3\\\n",
       "F3l5eQgLC7P7ei+++CKaNGmCuXPnIj8/Hx07dsTTTz+Npk2bYtasWbh48SLS09P1zgsLC8OtW7fs\\\n",
       "uiYREVFtwUBIRERVbtmyZSgtLcWmTZuwdu1ayOVys3VLSkoAAK6urnZdq02bNrpfBwcHAwCioqKM\\\n",
       "yjIyMvTOc3NzQ3FxsV3XJCIiqi0YCImIqMpdu3YNKSkp0Gq1uHnzpsW6AQEBEIlEyMnJKbddjUZj\\\n",
       "VCaVSnW/FolEZssMt5nIzs5GUFBQudckIiKqzRgIiYioSqlUKowaNQrPPPMM3n33XbzwwgtGo3MP\\\n",
       "kslkaNmyJS5cuGB0zHCa5/Xr1x3SR4VCgWvXrqFdu3YOaY+IiKimYiAkIqIq9fbbbyMvLw+ffvop\\\n",
       "Zs2ahaZNm2L8+PEWz+nXrx8OHTpkVP7bb7/h119/xbVr1/D+++/jwoULuHXrFpKTkyvUx4SEBMjl\\\n",
       "cnTp0qVC7RAREdV0DIRERFRl9u3bhxUrVuCnn36Ct7c3xGIxfvrpJxw8eBBffPGF2fMmTJiA7du3\\\n",
       "Iy8vT698wIABWLp0KVq2bIkDBw7g888/x7Fjx/DTTz9VqJ/r16/HyJEj4e7uXqF2iIiIajqR8OA6\\\n",
       "20RERDXU008/jfbt22P27NkA7u9D2LZtW6xYscKh18nKykKzZs1w4sQJREZGOrRtIiKimoYjhERE\\\n",
       "VCt8+OGH8PT0rPTr3Lx5E59//jnDIBEROQWOEBIRUa1UWSOEREREzoSBkIiIiIiIyElxyigRERER\\\n",
       "EZGTYiAkIiIiIiJyUgyEREREREREToqBkIiIiIiIyEkxEBIRERERETkpBkIiIiIiIiInxUBIRERE\\\n",
       "RETkpBgIiYiIiIiInBQDIRERERERkZNiICQiIiIiInJSDIREREREREROioGQiIiIiIjISTEQEhER\\\n",
       "EREROSkGQiIiIiIiIif1f/mwSvPbQKQ9AAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[24] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAgFZJREFUeJzt3Xd0VEXDBvBne3ohpAcI0kuooQR5DSUaX5AiCIh0EKSLqCCK\\\n",
       "IMgrilSl2VFAQSxgpUiH0BI6hCItgZAGpJdt9/uDk/3Ymt3NprHP75w9snPnzp27AdmHmTsjEgRB\\\n",
       "ABERERERETkdcWV3gIiIiIiIiCoHAyEREREREZGTYiAkIiIiIiJyUgyEREREREREToqBkIiIiIiI\\\n",
       "yEkxEBIRERERETkpBkIiIiIiIiInxUBIRERERETkpBgIiYiIiIiInBQDIRERERERkZNiICQiIiIi\\\n",
       "InJSDIREREREREROioGQiIiIiIjISTEQEhEREREROSkGQiIissu+ffsgEomwb9++yu4KOdjx48ch\\\n",
       "l8tx69atCr/2vXv34O7ujr/++qvCr01E5IwYCImIyKLVq1dj3bp1ld0Nu3z//fdYvnx5ZXcDAKDV\\\n",
       "arFo0SLUrVsXLi4uaNGiBX744Qerz8/KysK4cePg7+8Pd3d3dO3aFSdPnjSqt3nzZgwdOhQNGjSA\\\n",
       "SCRCly5dbO7rO++8g8GDB6NOnTo2n1tWfn5+ePnll/Huu+9W+LWJiJyRSBAEobI7QUREVVfz5s1R\\\n",
       "s2ZNo5FArVYLpVIJuVwOsbhq/vvic889h/Pnz+PmzZuV3RXMmjULH374IcaOHYt27dph27Zt+PPP\\\n",
       "P/HDDz/gxRdftHiuVqvFf/7zH5w5cwZvvvkmatasidWrVyM5ORkJCQlo0KCBrm6XLl2QkJCAdu3a\\\n",
       "4fTp02jRooVNo7inT59G69atERcXh6ioKHtvt0wSExPRtGlT7N69G926dauUPhAROQsGQiIiK+Tn\\\n",
       "58Pd3b2yu1EpzAXC6qCqBMI7d+6gbt26GDduHFauXAkAEAQB0dHRuHHjBm7evAmJRGL2/B9//BGD\\\n",
       "Bg3Cli1b8MILLwAAMjIy0LBhQ/z3v//F999/r6ubnJyM0NBQiMViu352r776KrZu3YqbN29CJBLZ\\\n",
       "d8MOEBERgdatW+O7776rtD4QETmDqvlPukRE5ejOnTsYM2YMQkJCoFAoULduXUyYMAFKpRIAsG7d\\\n",
       "OohEIuzfvx8TJ05EQEAAwsLCdOevXr0azZo1g0KhQEhICCZNmoSsrCy9a1y9ehX9+/dHUFAQXFxc\\\n",
       "EBYWhhdffBHZ2dm6Ort27ULnzp3h4+MDDw8PNGrUCG+//Xap/bfmvOLiYsydOxf169eHQqFArVq1\\\n",
       "MGPGDBQXFxu1t2HDBrRv3x5ubm7w9fXFU089hZ07dwIAwsPDceHCBezfvx8ikUhvCqK5Zwi3bNmC\\\n",
       "tm3bwtXVFTVr1sTQoUNx584dvTojR46Eh4cH7ty5g759+8LDwwP+/v544403oNFoSv0Mtm3bhp49\\\n",
       "e+p+hvXq1cP777+vd26XLl3w559/4tatW7q+h4eHm21z5MiRunqGr/fee6/UPpXWX5VKhYkTJ+rK\\\n",
       "RCIRJkyYgNu3b+PIkSMWz//pp58QGBiIfv366cr8/f0xcOBAbNu2Te/nWqtWrTKN2G7duhXdunUz\\\n",
       "CoPmPofw8HCMHDlS977kz8+hQ4cwdepU+Pv7w8fHB6+88gqUSiWysrIwfPhw+Pr6wtfXFzNmzICp\\\n",
       "f5t++umn8fvvv5s8RkREjiOt7A4QEVWklJQUtG/fXvc8VuPGjXHnzh389NNPKCgogFwu19WdOHEi\\\n",
       "/P39MWfOHOTn5wMA3nvvPcybNw8xMTGYMGECLl++jDVr1uDEiRM4fPgwZDIZlEolYmNjUVxcjClT\\\n",
       "piAoKAh37tzBH3/8gaysLHh7e+PChQt47rnn0KJFC8yfPx8KhQL//vsvDh8+bLH/1pyn1WrRu3dv\\\n",
       "HDp0COPGjUOTJk1w7tw5LFu2DFeuXMHWrVt1defNm4f33nsPnTp1wvz58yGXy3Hs2DHs2bMHzzzz\\\n",
       "DJYvX44pU6bAw8MD77zzDgAgMDDQbP/WrVuHUaNGoV27dli4cCHS0tKwYsUKHD58GKdOnYKPj4+u\\\n",
       "rkajQWxsLDp06IDFixfjn3/+wZIlS1CvXj1MmDDB4uewbt06eHh4YPr06fDw8MCePXswZ84c5OTk\\\n",
       "4OOPPwbw8Dm47Oxs3L59G8uWLQMAeHh4mG3zlVdeQUxMjF7Z9u3bsXHjRgQEBOjKMjMzLfathKen\\\n",
       "JxQKBQDg1KlTcHd3R5MmTfTqtG/fXne8c+fOZts6deoU2rRpYxT02rdvj88//xxXrlxBRESEVf2y\\\n",
       "5M6dO0hKSkKbNm3K3FbJ7/158+bh6NGj+Pzzz+Hj44O4uDjUrl0bH3zwAf766y98/PHHaN68OYYP\\\n",
       "H653ftu2bbFs2TJcuHABzZs3L3N/iIjIDIGIyIkMHz5cEIvFwokTJ4yOabVaQRAE4ZtvvhEACJ07\\\n",
       "dxbUarXueHp6uiCXy4VnnnlG0Gg0uvKVK1cKAISvv/5aEARBOHXqlABA2LJli9l+LFu2TAAgZGRk\\\n",
       "2NR/a85bv369IBaLhYMHD+qVr127VgAgHD58WBAEQbh69aogFouF559/Xu9+BOH/PwtBEIRmzZoJ\\\n",
       "0dHRRtfZu3evAEDYu3evIAiCoFQqhYCAAKF58+ZCYWGhrt4ff/whABDmzJmjKxsxYoQAQJg/f75e\\\n",
       "m61btxbatm1r+UMQBKGgoMCo7JVXXhHc3NyEoqIiXVnPnj2FOnXqlNqeKVevXhW8vb2Fp59+Wu/3\\\n",
       "AQCrXt98841eP5544gmja+Tn5wsAhLfeestiX9zd3YXRo0cblf/5558CAGH79u0mzzP3szPnn3/+\\\n",
       "EQAIv//+u9ExAMLcuXONyuvUqSOMGDFC977kz09sbKze76OoqChBJBIJ48eP15Wp1WohLCzMZB/j\\\n",
       "4uIEAMLmzZut7j8REdmOU0aJyGlotVps3boVvXr1QmRkpNFxwylyY8eO1Xuu659//oFSqcS0adP0\\\n",
       "RmrGjh0LLy8v/PnnnwAAb29vAMCOHTtQUFBgsi8lI2Xbtm2DVqu1+h6sOW/Lli1o0qQJGjdujMzM\\\n",
       "TN2rZHGOvXv3Ang4NVCr1WLOnDlGI0/2PDsWHx+P9PR0TJw4ES4uLrrynj17onHjxrrP51Hjx4/X\\\n",
       "e/+f//wH169fL/Varq6uul/n5uYiMzMT//nPf1BQUIBLly7Z3HdD+fn5eP755+Hr64sffvhB7/fB\\\n",
       "rl27rHrFxsbqziksLNSNFj6q5HMqLCy02J+ynm+te/fuAQB8fX3L3NaYMWP0fh916NABgiBgzJgx\\\n",
       "ujKJRILIyEiTP/OSPlg7IktERPbhlFEichoZGRnIycmxevpZ3bp19d6X7MnWqFEjvXK5XI4nnnhC\\\n",
       "d7xu3bqYPn06li5dio0bN+I///kPevfujaFDh+rC4qBBg/Dll1/i5ZdfxltvvYXu3bujX79+eOGF\\\n",
       "Fyw+/2XNeVevXkViYiL8/f1NtpGeng4AuHbtGsRiMZo2bWrV51Eac58PADRu3BiHDh3SK3NxcTHq\\\n",
       "o6+vLx48eFDqtS5cuIDZs2djz549yMnJ0Tv26HOa9ho7diyuXbuGuLg4+Pn56R0znFZqDVdXV5PP\\\n",
       "bxYVFemOl+f5thIc8Nxe7dq19d6X/N6vVauWUbmpn3lJHypzYRsiImfAQEhEZEZZvmQvWbIEI0eO\\\n",
       "xLZt27Bz505MnToVCxcuxNGjRxEWFgZXV1ccOHAAe/fuxZ9//ont27dj8+bN6NatG3bu3Gl2xUlr\\\n",
       "ztNqtYiIiMDSpUtNtmH4hbyyWFpV05KsrCxER0fDy8sL8+fPR7169eDi4oKTJ09i5syZNo24mrJi\\\n",
       "xQr88MMP2LBhA1q1amV0PDU11ap2vL29db+HgoODsXfvXgiCoBdw7t69CwAICQmx2FZwcLCu7qOs\\\n",
       "Pd9aJeHXmlBewlx4NPfzNVVuqo2SPtSsWdPqvhARke04ZZSInIa/vz+8vLxw/vx5u84v2aT78uXL\\\n",
       "euVKpRI3btww2sQ7IiICs2fPxoEDB3Dw4EHcuXMHa9eu1R0Xi8Xo3r07li5diosXL+J///sf9uzZ\\\n",
       "o5vSaU5p59WrVw/3799H9+7dERMTY/QqGcGrV68etFotLl68aPF61o7QmPt8Ssoctcn5vn37cO/e\\\n",
       "Paxbtw6vvvoqnnvuOcTExJic5mjr6NLBgwfxxhtvYNq0aRgyZIjJOsHBwVa9Nm/erDunVatWKCgo\\\n",
       "QGJiol5bx44d0x23pFWrVjh58qRR2D127Bjc3NzQsGFDm+7TnMaNGwMAbty4YfJ4bm6uUVnJiLOj\\\n",
       "lfTBcCEeIiJyLAZCInIaYrEYffv2xe+//474+Hij46VNk4uJiYFcLscnn3yiV/err75CdnY2evbs\\\n",
       "CQDIycmBWq3WOzciIgJisVg37e/+/ftG7ZeEAlNTA0tYc97AgQNx584dfPHFF0Z1CwsLdSum9u3b\\\n",
       "F2KxGPPnzzcKGo/en7u7u9G2GqZERkYiICAAa9eu1buHv//+G4mJibrPp6xKRpge7aNSqcTq1auN\\\n",
       "6rq7u1s9hfTu3bsYOHAgOnfurFup1BR7niHs06cPZDKZXh8FQcDatWsRGhqKTp066fXj0qVLUKlU\\\n",
       "urIXXngBaWlp+OWXX3RlmZmZ2LJlC3r16mXy+UJ7hIaGolatWib/fAAw2mLk77//RlFRUblsDZGQ\\\n",
       "kABvb280a9bM4W0TEdH/45RRInIqH3zwAXbu3Ino6Gjdlgx3797Fli1bcOjQIb1tEQz5+/tj1qxZ\\\n",
       "mDdvHp599ln07t0bly9fxurVq9GuXTsMHToUALBnzx5MnjwZAwYMQMOGDaFWq7F+/XpIJBL0798f\\\n",
       "ADB//nwcOHAAPXv2RJ06dZCeno7Vq1cjLCzM4vYD1pw3bNgw/Pjjjxg/fjz27t2LJ598EhqNBpcu\\\n",
       "XcKPP/6IHTt2IDIyEvXr18c777yD999/H//5z3/Qr18/KBQKnDhxAiEhIVi4cCGAh8v/r1mzBgsW\\\n",
       "LED9+vUREBCgW6DmUTKZDB999BFGjRqF6OhoDB48WLftRHh4OF577TV7f2x6OnXqBF9fX4wYMQJT\\\n",
       "p06FSCTC+vXrTYaStm3bYvPmzZg+fTratWsHDw8P9OrVy2S7U6dORUZGBmbMmIFNmzbpHWvRogVa\\\n",
       "tGgBwL5nCMPCwjBt2jR8/PHHUKlUaNeuHbZu3YqDBw9i48aNetMoZ82ahW+//RY3btzQ7Zv4wgsv\\\n",
       "oGPHjhg1ahQuXryImjVrYvXq1dBoNJg3b57etQ4cOIADBw4AePjcbH5+PhYsWAAAeOqpp/DUU09Z\\\n",
       "7GufPn3w66+/Gk1vBYDExET06NEDvXv3RkpKClasWAFvb2/ExcXhhx9+wODBg23+bMzZtWsXevXq\\\n",
       "xWcIiYjKW2UsbUpEVJlu3bolDB8+XPD39xcUCoXwxBNPCJMmTRKKi4sFQfj/ZfNNbU0hCA+3mWjc\\\n",
       "uLEgk8mEwMBAYcKECcKDBw90x69fvy6MHj1aqFevnuDi4iLUqFFD6Nq1q/DPP//o6uzevVvo06eP\\\n",
       "EBISIsjlciEkJEQYPHiwcOXKFYt9t/Y8pVIpfPTRR0KzZs0EhUIh+Pr6Cm3bthXmzZsnZGdn69X9\\\n",
       "+uuvhdatW+vqRUdHC7t27dIdT01NFXr27Cl4enoKAHRbBBhuO1Fi8+bNuvZq1KghDBkyRLh9+7Ze\\\n",
       "nREjRgju7u5G9zd37lzBmr+aDh8+LHTs2FFwdXUVQkJChBkzZgg7duww6k9eXp7w0ksvCT4+PgIA\\\n",
       "i1tQREdHm91CwtR2C7bSaDTCBx98INSpU0eQy+VCs2bNhA0bNhjVK9mS48aNG3rl9+/fF8aMGSP4\\\n",
       "+fkJbm5uQnR0tMnfoyWfob33cfLkSQGA0bYlAITp06cLAwYMEFxdXYXg4GBh5cqVwtq1awU3Nzfh\\\n",
       "5ZdfFgTB/J+fkn4Zbpli6vdCYmKiAEDvzwwREZUPkSCUwzwPIiIiqra6d++OkJAQrF+/XlcmEokw\\\n",
       "d+5cvPfee+V+/WnTpuHAgQNISEjgCCERUTnjM4RERESk54MPPsDmzZt1W4lUpHv37uHLL7/EggUL\\\n",
       "GAaJiCoAnyEkIiIiPR06dIBSqayUa/v5+SEvL69Srk1E5Iw4QkhEREREROSkOEJIREREpeKSA0RE\\\n",
       "jyeOEBIRERERETkpBkIiIiIiIiInxSmjRFQtabVapKSkwNPTkysREpEeQRCQm5uLkJAQiMW2/9v3\\\n",
       "+PHjER8fb9M5kZGRWLt2rc3XIiKqbAyERFQtpaSk4Msvv6zsbhBRFTVv3jwkJycjLCzMpvPGjx+P\\\n",
       "zz77zObrJSQkAABDIRFVOwyERFQteXp6AgBHB4nIrJL/T9jC1pFBe8819f+ukoV7li9fjtdee83o\\\n",
       "uLu7O7fkICKHYyAkomqJQZCISlPW/09Ye76jV2D95ptvTJbn5+c79DpERAADIREREZERkUhkU6C0\\\n",
       "NRQ+Wt/wOmfOnDHZHwBQKBQoLi626VpERJYwEBIREREZsCcQnjt3DpGRkbqy6OhoLFmyxKH9ioiI\\\n",
       "cGh7REQMhEREREQGbA2EAKBUKnWLywAPF5pxRCAcP3687tdlecaRiMgUBkIiIiIiA/YEQrlcrjeC\\\n",
       "Fx0dXeZ+LF++XLfqadu2bcvcHhGRIQZCIiIiIgP2BMKIiAiHjuA9utpoWFgYRweJqFzYvlsrERER\\\n",
       "EZWrR8NgQEAAkpOTK7lHRPS4YiAkIiIiMlAyQmjty1bdunUzOlckEkGhUBjtQ1hcXAwfHx/4+Pjg\\\n",
       "vffec8TtERHpMBASERERGSjvQLh3716T5UqlEm+++aZeWXZ2tu41b948u+6HiMgcPkNIREREZMDe\\\n",
       "oGctR29mT0RkLwZCIiIiIgPlHQiJiKoKBkIiIiIiAwyEROQs+AwhERERERGRk+IIIREREZEBjhAS\\\n",
       "kbPgCCERWe3DDz+ESCTCtGnTLNbbsmULGjduDBcXF0REROCvv/7SOy4IAubMmYPg4GC4uroiJiYG\\\n",
       "V69eLceeExHZprxXGSUiqioYCInIKidOnMBnn32GFi1aWKwXFxeHwYMHY8yYMTh16hT69u2Lvn37\\\n",
       "4vz587o6ixYtwieffIK1a9fi2LFjcHd3R2xsLIqKisr7NoiIrMJASETOgoGQiEqVl5eHIUOG4Isv\\\n",
       "voCvr6/FuitWrMCzzz6LN998E02aNMH777+PNm3aYOXKlQAejg4uX74cs2fPRp8+fdCiRQt89913\\\n",
       "SElJwdatWyvgboiISsdASETOgoGQiEo1adIk9OzZEzExMaXWPXLkiFG92NhYHDlyBABw48YNpKam\\\n",
       "6tXx9vZGhw4ddHVMKS4uRk5Ojt6LiKi8MBASkbNgICQiizZt2oSTJ09i4cKFVtVPTU1FYGCgXllg\\\n",
       "YCBSU1N1x0vKzNUxZeHChfD29ta9atWqZcttEBEREZEJDIREZFZycjJeffVVbNy4ES4uLpXal1mz\\\n",
       "ZiE7O1v3Sk5OrtT+ENHjjSOEROQsuO0EEZmVkJCA9PR0tGnTRlem0Whw4MABrFy5EsXFxZBIJHrn\\\n",
       "BAUFIS0tTa8sLS0NQUFBuuMlZcHBwXp1WrVqZbYvCoUCCoWirLdERGQVBj0ichYcISQis7p3745z\\\n",
       "587h9OnTuldkZCSGDBmC06dPG4VBAIiKisLu3bv1ynbt2oWoqCgAQN26dREUFKRXJycnB8eOHdPV\\\n",
       "ISKqCjg6SETOgCOERGSWp6cnmjdvrlfm7u4OPz8/Xfnw4cMRGhqqe8bw1VdfRXR0NJYsWYKePXti\\\n",
       "06ZNiI+Px+effw4Aun0MFyxYgAYNGqBu3bp49913ERISgr59+1bo/RERmWNL2GMoJKLqjIGQiMok\\\n",
       "KSkJYvH/Tzbo1KkTvv/+e8yePRtvv/02GjRogK1bt+oFyxkzZiA/Px/jxo1DVlYWOnfujO3bt1f6\\\n",
       "c4pERCUYCInIWYgEQRAquxNERLbKycnB0qVL+UWMiEx67733kJ2dDS8vL5vOi4yMREJCAmrWrKn3\\\n",
       "j12WaLVaZGZmom3btoiPj7enu0RElYbPEBIRERERETkpThklIiIiMsApo0TkLBgIiYiIiAwwEBKR\\\n",
       "s2AgJKLH3ty5cyu7C0TkQPPmzSv3azAQEpGzYCAkIiIiMsBASETOgoGQiIiIyAADIRE5C64ySkRE\\\n",
       "RERE5KQ4QkhERERkgCOEROQsGAiJiIiIDDAQEpGzYCAkIiIiMsBASETOgoGQiIiIyAADIRE5CwZC\\\n",
       "IiIiIgMMhETkLLjKKBERERERkZPiCCERERGRAY4QEpGzYCAkIiIiMsBASETOgoGQiIiIyAADIRE5\\\n",
       "CwZCIiIiIgMMhETkLBgIiYiIiExg0CMiZ8BVRomIiIiIiJwURwiJiIiIDHDKKBE5CwZCIiIiIgMM\\\n",
       "hETkLBgIiYiIiAwwEBKRs2AgJCIiIjLAQEhEzoKBkIiIiMgAAyEROQsGQiIiIiIDDIRE5Cy47QQR\\\n",
       "EREREZGT4gghERERkQGOEBKRs2AgJCIiIjLAQEhEzoJTRomIiIgMlARCa1+OaP9RKSkpDrkOEVFp\\\n",
       "GAiJiIiIDJR3ICxNaGioyfLx48c7/FpE5NwYCImIiIgMlHcgFARB9zKUkpJiVK9FixYAgM8++8z+\\\n",
       "myIiMoGBkIiIiKgKqV27tlHZmTNnKqEnROQMuKgMERERkQF7FpU5d+4cIiMjdeXR0dFYsmSJzdfW\\\n",
       "aDQAAE9PT5vPJSKyFQMhERERkQF7AqFSqURCQoKuPCEhwa5ASERUkRgIiYiIiAzYEwjlcjkiIiJ0\\\n",
       "5dHR0XZdWyKRQKPRIDc3167ziYhswUBIREREZMCeQBgREYH4+PgyXzspKcloldFHp6ISETkSAyER\\\n",
       "ERGRgfLemL5bt27Yu3evUTtyuRzFxcVm237llVdsvhYRkSVcZZSIiIioghmGwRJKpRIAcOfOHZPH\\\n",
       "165dW259IiLnxBFCIiIiIgPlPUJoav/BR4WEhJRah4jIERgIiYiIiEywJ+gREVU3DIREREREBsp7\\\n",
       "hJCIqKpgICQiIiIywEBIRM6CgZCIiIjIAAMhETkLBkIiIiIiAwyEROQsuO0EERERERGRk+IIIRER\\\n",
       "EZEBjhASkbNgICQiIiIywEBIRM6CgZCIiIjIAAMhETkLBkIiIiIiAwyEROQsGAiJiIiIDDAQEpGz\\\n",
       "4CqjREREREREToojhEREVZipkQexWAyNRlMJvakcKSkpCA0NtetckUgErVZrsU7r1q1x+vRpu9p3\\\n",
       "BBcXF0gkEuTn51fI9QRBqJDrVHccISQiZ8FASERUzQQEBFR2FyrUjRs37D7Xy8ur1DqJiYl2t+8I\\\n",
       "RUVFlXp9Mo2BkIicBQMhEVE1c/Xq1cruQoU6ceKE3ecePXrU4vHi4mIUFxfb3T49vhgIichZ8BlC\\\n",
       "IqIqTCwW616+vr7IzMyEh4dHZXerQjVo0MCu89q0aYPGjRtbrNOqVSu72qbHX0kgtPZFRFRdMRAS\\\n",
       "kVkLFy5Eu3bt4OnpiYCAAPTt2xeXL18u9bwtW7agcePGcHFxQUREBP766y+944IgYM6cOQgODoar\\\n",
       "qytiYmKcbtTLWhqNRve6f/8+/Pz8KrtLFS42NtZkuUgkwqVLlyAIgu6Vl5eH8+fPo6CgAAkJCRbb\\\n",
       "vX79Oi5dumRXn7p27YrTp09j5MiRdp1PVR8DIRE5CwZCIjJr//79mDRpEo4ePYpdu3ZBpVLhmWee\\\n",
       "sbj4RVxcHAYPHowxY8bg1KlT6Nu3L/r27Yvz58/r6ixatAiffPIJ1q5di2PHjsHd3R2xsbF8lopM\\\n",
       "kkqlWLFihV6Zn58fNBoNGjVqpFfu7u6OZs2awdXV1WKbV65cQb169ezqz/Xr17Fnzx60bNkS33zz\\\n",
       "DTQaDSQSiV1tlQeRSITevXtj0KBBEIv51zwREVnGvymIyKzt27dj5MiRaNasGVq2bIl169YhKSnJ\\\n",
       "4sjLihUr8Oyzz+LNN99EkyZN8P7776NNmzZYuXIlgIejg8uXL8fs2bPRp08ftGjRAt999x1SUlKw\\\n",
       "devWCrozqmilrfRZmqlTp0KtVuPGjRsoLi5GZmamXaMyGo0GderUMQqS1mrXrh3q1q2rVyYWi6vM\\\n",
       "P2Y8+eST0Gq12LZtGzZt2gS1Wg2ZTFbZ3aqWOEJIRM6CgZCIrJadnQ0AqFGjhtk6R44cQUxMjF5Z\\\n",
       "bGwsjhw5AuDhipGpqal6dby9vdGhQwddHVOKi4uRk5Oj96Kqb9KkSRCJRJBIJHB3dy/TlgcSiQTh\\\n",
       "4eGQy+U2nysIAurXrw+pVIqkpCS7+xAXF2eyXCqVYty4cXa36wiLFy/GoUOH9MpEIhHy8vIqqUfV\\\n",
       "GwMhETkLBkIisopWq8W0adPw5JNPonnz5mbrpaamIjAwUK8sMDAQqampuuMlZebqmLJw4UJ4e3vr\\\n",
       "XrVq1bL3VqiC9O3bF6tXr9a9LygoQOfOnSulLx4eHrh27VqZ2lAoFJBKzS/OvWbNmjK1XxaHDx/G\\\n",
       "66+/bvKYXC7Hjz/+WME9qv4YCInIWTAQEpFVJk2ahPPnz2PTpk2Vcv1Zs2YhOztb90pOTq6Ufjyu\\\n",
       "CgoKkJWV5bD2ioqKsG3bNqPy48ePWzxPpVLhwYMHDusHAKjVahQUFJS5nXPnzlk8LhaL4e/vX+br\\\n",
       "mCISiSCVSqFQKCCTySCRSCCXy9GjRw+o1Wp06tTJ4vkDBgzA999/z2cKbcQwSETOgH8zEFGpJk+e\\\n",
       "jD/++AN79+5FWFiYxbpBQUFIS0vTK0tLS0NQUJDueEmZuTqmKBQKeHl56b3o/5VlKuaXX34JX19f\\\n",
       "+Pv746effnJIf8wt2OLi4mL2nMWLF0Mul6NGjRqlLgoDPLzn1NTUUp9PlEql8PX1LbU9c8RiMb77\\\n",
       "7jurtr+4deuW3dcxdd3Zs2dDpVJBq9VCpVKhqKgISqUSarUaxcXF+PPPP61e0Gbw4MFQq9UO69/j\\\n",
       "jiOEROQsGAiJyCxBEDB58mT8+uuv2LNnj9FiGqZERUVh9+7demW7du1CVFQUAKBu3boICgrSq5OT\\\n",
       "k4Njx47p6pDt7P1CqtFosH37dmg0GgiCoHtO1BrmQqhWq0VKSorJYxs3bjTb1ptvvql7X1RUhJ07\\\n",
       "d5q9dmFhIaRSKYKDgyGXy0sNOvfv38fBgwcxYsQILFq0CGfOnEFmZibu37+P27dvIzExETdv3kRe\\\n",
       "Xh40Gg20Wq1uKwuNRoNhw4ZZbL+Eq6srbt++bddInFwuR8OGDfHJJ58gPz8fGo0G77//vsVpqrZi\\\n",
       "cCEiIkOO+1uGiB47kyZNwvfff49t27bB09NT94yft7e3bgRn+PDhCA0NxcKFCwEAr776KqKjo7Fk\\\n",
       "yRL07NkTmzZtQnx8PD7//HMAD7+QTps2DQsWLECDBg1Qt25dvPvuuwgJCUHfvn0r5T6dmUQiwebN\\\n",
       "m3Hx4kXIZDKrVt+8fPkyIiIioFar4enpibi4ODRr1gzAw2Bn6TnBXr16mSw3NV31+++/xzPPPGOy\\\n",
       "vqenp25kUKPRoFmzZrhw4YLF8NS5c2eTfSvL6KEpoaGh0Gg0SElJQfv27XHnzh2zdWUyGc6ePYvG\\\n",
       "jRs7tA9UdraM/DFoE1F1xkBIRGaVLJLRpUsXvfJvvvlGtyF3UlKS3mhIp06d8P3332P27Nl4++23\\\n",
       "0aBBA2zdulVvIZoZM2YgPz8f48aNQ1ZWFjp37ozt27dbnE5I5UcikSAiIsKqulqtFk2aNNGNDubk\\\n",
       "5Oh+tnK5HFqt1uxonVQqNfvF2d3d3ahs2rRpJuuWjGg+6sqVK+jVqxf+/vtvq+6jIoSEhOD27dtI\\\n",
       "T09HaGio0ecyYsQIrFu3rnI6R6ViICQiZ8FASERmWfNc2r59+4zKBgwYgAEDBpg9RyQSYf78+Zg/\\\n",
       "f35ZukeVYNWqVWZ/XyiVSovnlkxLNfXlWS6XIyAgAOnp6QAeTr1s1aqVyXaef/55k+Xbt29HQUEB\\\n",
       "3NzcLPajogUEBKCwsBDNmzfHlStXIJFI8O233+Kll16qlP48DuFl1qxZdm0/YgsGQiJyFnyGkIiI\\\n",
       "rGZuawNrCIIAf39/s4EyLS0NCQkJOHTokMVVQYuLi80ec3d3x6efflrlFk+RSqW4dOkScnJykJeX\\\n",
       "V2lhkKzHRWWIyFkwEBIRkVWysrKgUqnK1Ma9e/cglUrNttOmTRs8+eSTFtsobWRo6tSpkMlkEIlE\\\n",
       "qFmzZpn77EgeHh5QKBRW109OTjZakZcqBgMhETkLBkIiIrJKYGCgQ9rRarXw8fGx+/ykpCSr6967\\\n",
       "d8/hi8ZUFA8PD9SuXRtBQUHV9h6qMwZCInIWDIRERFSq//3vf6U+I2iLwsJCu88NCAiASqWyemXO\\\n",
       "/Px8u69VIi8vD2lpaWXa79EW3333nV6/s7Ky0L179wq5NhERORcGQiIiskgQBMyePduhbTZp0qRM\\\n",
       "50ulUiQmJkIQBLzzzjsW65Z19CYgIACenp4ICgqCVCq1+Ayjo8ybN8+obM+ePbh//75RuSAIuHbt\\\n",
       "Gm7fvl3u/XImHCEkImfBQEhERBaVZTTPlFq1auHChQsOa2/BggUoLCzEwIEDTR6fPHmy3W3//vvv\\\n",
       "yMjI0L3XarXw8vKyuz1rdejQwWS5n58f4uPjodVqoVQqMXDgQIjFYtSvXx+1atVCZGRkuffNWTAQ\\\n",
       "EpGzYCAkIiKLbN0fUiqVYunSpbhy5Qr++ecfjBw5EtHR0VixYgWKi4ttegbQlj5u3rwZV69e1dsX\\\n",
       "Mzw8HJ988ond7a5atcqoTKlU4tKlSybr3717F66urpBKpZg0aZLd1/3222/NHmvXrh0kEgkUCgW2\\\n",
       "bNmidywhIQFardbu69L/YyAkImfBQEhERBaJxWJ89NFHVtWdP38+VCoVXnvtNTRo0ADdu3fHN998\\\n",
       "g3379mHq1Knlvndc/fr1odFoUFRUBKVSiRs3bpSpvbFjx5osb9asmdHzhEuWLEFISAiKioqg0Wiw\\\n",
       "evVqHDp0yOT5giCgW7du8PLywooVK4yOy2QyLF261Ob+Mpw4DgMhETkLBkIiIirVjBkzkJ+fj+bN\\\n",
       "m5v88uvj44PCwkK8++67ldA7YwqFAjKZrMzt9OvXz2S5VquFq6srzpw5g3///Rf+/v544403jOrF\\\n",
       "xMSYPN/Lywt79+5Fbm4upk2bhtjYWKM6r732Gvr06WNTfzds2MBw4iAMhETkLBgIiYjIKm5ubjh3\\\n",
       "7hy0Wi00Gg3u3buH1NRUqNVqPHjwwOappdWBSCTC6tWrTR4rLi5Gq1at0KBBA2RmZpqsY2plVq1W\\\n",
       "i7y8PL2ynTt3mjx/69atqFevXqn9FIvFuHLlilUb3guCUO1fCoWCAY2IyEEYCImIyGZisRg1atRA\\\n",
       "YGAgJBJJZXenXE2YMMHuVVGtDSaW6v3777+QSqVmj48bNw4ajQYNGjSwuX9kHkcIichZmP8bhoiI\\\n",
       "qJwolUqIxWKLQacqSUhIgKenJzQajU3nPfHEE0ZlYrEYTZo0QWJioq7M1OI1j8rNzYWbm5vec4su\\\n",
       "Li7IysqCQqGwqU9kHVuCHgMhEVVnHCEkIqIKM3r0aIhEIt0zfmKxGE2bNkVKSopudcySaYGV4cqV\\\n",
       "K5BKpRCJRBCLxTh9+jSAh+HrySeftLodkUiEWrVq4dSpUyaPX7x4EfHx8XjllVeQmZmJCRMmWGzP\\\n",
       "xcUFRUVFGDBgADp16oQbN26gsLCQYbAccYSQiJwFAyEREVWIQYMG4ZtvvtErEwQBiYmJCA0NhUQi\\\n",
       "gVgs1v1XLBbDx8cHW7duLdNWChqNBtevXy91Q/nU1FQ0atRINwooCALatGmDO3fuQKvVomvXrqVe\\\n",
       "q379+sjNzYVGo0FSUhI8PDzM1m3bti3Wrl0LPz8/q+5DLpfjxx9/xOHDhxEeHm7VOWQ/BkIichYM\\\n",
       "hEREZJcHDx6YXUzFUE5ODn788cdS6z06OigIArKzs/H8889DIpFAIpHA19cXPj4+kMvlkEgkcHd3\\\n",
       "x8mTJ822l56eDplMhnr16sHFxQWdOnUyW7dWrVom+3Pw4EGIRKJSRwi/+uorXL16FR4eHgwIjwEG\\\n",
       "QiJyFgyERERkk/z8fCgUCtSoUQP+/v7o1atXqef4+vqW+bparRZZWVnIzs6GSqWCVqtFQUEB2rZt\\\n",
       "ix49ekClUunVFwQBQUFBetNPjxw5An9/f6O2s7OzoVarjcpFIhGef/55iMViPPXUU2b71qxZM4we\\\n",
       "PboMd0dERFQ5GAiJiMgkQRCg1Wp1r9zcXERHR8PDw0NvO4U//vjDYjvu7u5lmvJpjb///hvu7u56\\\n",
       "ZY0aNTL5LGJmZia8vLz0nlls2LChyXavXbume05PoVCgTp06RnXEYjHOnz9vsX8ZGRno378/xo4d\\\n",
       "iwcPHlh1T1S5OEJIRM6CgZCIiPRkZWUhKCgIUqkUUqkUMpkMMpkMXl5eOHDggE1tNWzYEAUFBeXU\\\n",
       "U30qlQr9+/dHdnY2Jk6ciKtXr5qtm5ubq5uC6ubmhvT0dL3jYrEYO3bsQN26dfXKL126pPdeJBIZ\\\n",
       "7SloSrNmzfDLL7/gyy+/RI0aNSCTyZCbm2vD3VFlKK8w+Ntvv5lsJyUlpRzugojIMgZCIiInUVxc\\\n",
       "jKKiIrMreGo0GoSHh8PX1xdpaWnQarV6o4TmiMWm/ypRqVQWQ1l5+PXXXxEYGIg1a9ZYVT8rKwtF\\\n",
       "RUW69xKJBMeOHYNGo8EzzzxjVN/FxQVpaWl44okn0KVLFyiVSri6upZ6HcNnLdVqNby8vFBYWGhV\\\n",
       "Px1hxYoVZn9WZKw8Rwj79Omj+/WjW6+EhoY6rP9ERNaqHhtAERGR3XJychAcHKw3UieTydC8eXP0\\\n",
       "6dMHmZmZWL9+PbKzs+1q39yX2MqYGikIQqmriVqSmZkJHx8fi3UCAgJw7do1u6/xqCZNmuDmzZsO\\\n",
       "acuSb7/9FtOmTSv36zxOKmIfwkf/cYbTTomosjAQEhE9xkoWVjEciVKpVDh16pTZffJsER0dbbLc\\\n",
       "398fIpHI7j0FJRKJboSyIri7u5caBu31xBNPmAyRaWlp5XI9QyNHjqyQ6zxO7AmE586dQ2RkpK48\\\n",
       "OjoaS5YssXieIAgMg0RUqTh3hIioCktOTkZ+fr7d56enp5f7tMRHF5h5lEgkwoMHD3SLsohEIshk\\\n",
       "Mnh4eEAikZhtT6FQoLCwEGq1GhqNBtu3b7d4falUisDAQIt7/llj7NixZTrfkgsXLpgst2Wze0Pp\\\n",
       "6enw8PCAi4sLjh49arbeo1NiyXr2TBlVKpVISEjQvZYuXWqy7RMnTuhdp4S9/3hCRFQWDIRERFVY\\\n",
       "7dq14eHhAU9PT6NtFazh5eVVpufGxGIxatasaXEEIy4uzuwxb29v3XOLWq0WSqUSubm5UKvVKCoq\\\n",
       "QqtWrXR1RSIRPvzwQxQVFcHFxUVXHhsbix49ephsPyYmBkVFRbhz5w6uXr1appGWxYsX231uaRQK\\\n",
       "BTZs2KBXJhaLsXPnTrvbDAsLQ35+PoqLixEVFYVbt26ZrMfFayqOXC5H27Ztda/p06ebrNeuXTuT\\\n",
       "5RwpJKLKwEBIRFQN5OXloUuXLjaf5+rqCqVSiQYNGth8bnJyMjQaDTIyMqDVahEVFWWy3p07d2xu\\\n",
       "G3gYkk6dOqXbjF6r1WLmzJkm6/7555/o3bu37r1UKoVarcauXbt0m9YHBQXh7NmzJs8fNmyY7jol\\\n",
       "10pMTMSCBQtw48YNCIJgdtRSo9HAy8tLNxIUEBBgVzgfMmSI3iI9Go3G7rCu1WqN+hAeHm5yL8Wa\\\n",
       "NWvadQ1nZ88IYUREBOLj43UvS9NFAej9niQiqiwMhERE1cSyZcvsOk8ikeDy5csYNmyYXgAxNxoh\\\n",
       "Eolw584dhIWF6ZXHxcWZPKeivsxu27YNOTk5SEtLg0qlMhngmjdvjrlz5+qVjR49Gt99951emUgk\\\n",
       "QuPGjfHOO+8gPDzc4nUjIyP1RtkyMjKgUCjsXoTHEfvWicVik20899xzJq83ZMiQMl3PGXEfQiJy\\\n",
       "FgyERERVmEwmg6+vL+Li4tC+fXu72xGJRFi8eDEiIiLQrFkzZGdn620rkZWVhRMnTiA5ORlarRYh\\\n",
       "ISEm2zlz5ozdfXAET09PBAQEWKzz3nvvQavV6qamfvXVV2W65rlz54zKBEGo9JG3cePGGZXt2LHD\\\n",
       "ZN0NGzbgu+++09vigCyriEBY8lwtAyURVSYGQiKiKkypVOL+/ftmp2vaYsGCBbh48SLu378PLy8v\\\n",
       "XblIJIK3tzciIyONRgUNRUREGG0zIZPJytw3RxOJRKUuXmMtc9M61Wq1VZvSl5e1a9eaLP/5559N\\\n",
       "lg8bNsyuqa7OqjwDYadOnXS/fnSar+HoNhFRRWAgJCJyAgkJCfj000+hUqlw9+7dMm3lkJycrBe0\\\n",
       "fvzxR0d0scqKiYkxe+zRvR0rw5YtW4zKBgwYwGfSHKA8A+Hhw4f1nh8seb333nvlczNERBYwEBIR\\\n",
       "OYGXXnpJ731SUpLdbYlEIvTq1QvAw9HBnj17lqlvVZ2lL+nu7u4V1xETHl1op4QgCHYv9ENERM6H\\\n",
       "gZCIyAlcuXJF7709q44+avPmzVi/fj2ysrKq5JRRR2rfvj2eeeYZo3KFQlHpgVAul+v2eXxU7dq1\\\n",
       "K6E3jxcuKkNEzoKBkIiomkpOToarqyvEYjEUCoXeZtePMjV9sGTTd3sVFBQgNjYWbm5udrdRnezY\\\n",
       "sQOrVq3SLcqiUChw+/btSu7VQ08//bRRmSAIGDx4cCX05vHBQEhEzoKBkIioGrp16xZq166t2/Rd\\\n",
       "qVSiffv22LNnj1FdkUhkcmEUU3vWlSYvLw/16tVDYGCgyVUuy5NWq0VxcTGKioqgUqnK9Bzko6x9\\\n",
       "3m7ixIlQKpUoKChAQUFBpa8yWqJly5Ymyzdt2lTBPXm8MBASkbNgICQiqoYaNWpksvzZZ581Wb5/\\\n",
       "/3699yKRyORUQ0u6dOkCT09PXL9+HUqlElu3btXbn6+8JCYmQiaTQSKRwMXFBa6urvD09MTy5cvt\\\n",
       "CrUlNBoNnnrqKbi6uqJevXooLi4u9RyRSKQbla0q/vjjD7PHbt68WXEdecwwEBKRs6g6f6MREZHV\\\n",
       "zG0fYG4aaOfOnfHLL7/ovrimp6fbdL1vv/3WKFQCwH//+1+b2rFVUVERmjVrZhT8iouLER4ebve+\\\n",
       "elqtFl5eXjh48CCKi4tx/fr1Uvc3tEZFrO5ZUFCAO3fu4ObNm3j99ddx9uxZs3XL++fzOGMgJCJn\\\n",
       "wUBIRFQNdevWzWT5yJEjzZ7z/PPP6zajt3W64/jx402WJyQk2NSOre7evWsyZNWqVQv9+vWzu90m\\\n",
       "TZoYbRmRk5Nj94inVqtFeHg4JBIJxGIx+vTpYzYcKpVKu4NjdnY2QkJCEBYWhrp162Lp0qUW27p8\\\n",
       "+bJd1yEiIufBQEhEVIUdPnwYiYmJKCws1CvftWsXzp49Cz8/P4jFYkilUixcuBBfffVVhfZPLpeX\\\n",
       "a/vh4eFwdXXVKwsMDMStW7csnnf79m3dXm+G1Gq10aqrJezdjmPcuHG4deuWbj+53377DT4+Pnoj\\\n",
       "ucXFxbppt6GhoXaFz65duyI7O9vq+oIgYP369TZfhzhCSETOg4GQiKgK69y5M5o2bQo3NzejUcGI\\\n",
       "iAhkZmZCo9FApVLhrbfeKrd+LF682GT5999/X27XBB5+Kc/Pz8cvv/yCyZMnIzk5GampqRa/gDdp\\\n",
       "0gS1atVC586dIZPJjELh3bt3zZ7r6elpVz/j4uKMynJycuDr64utW7fim2++gY+PD/bv3w+lUom7\\\n",
       "d+8iICAAOTk5uvoliwMplUqT17h58yZOnTplc99GjBiB/Px83Xtbg05VfBUXF5vc2P3RV1kxEBKR\\\n",
       "s2AgJCKqJvbu3euwlTVtNWnSJAQHB+uVhYSEVMim9CKRCM8//zw+/fRThIWFWax769YtXLp0Sfde\\\n",
       "o9FgypQpenUs7ZtoeI/WWrZsmcny/Px8PP/88xg9ejSKior0jhUVFcHPzw9RUVGoV68epFIpFAoF\\\n",
       "FAoFpFIpPv/8c93POzMzE/Xq1bOrb4IgwMfHx2iKLFnGQEhEzsK+p/GJqMq4ceMGDh48iFu3bqGg\\\n",
       "oAD+/v5o3bo1oqKi4OLiUtndIwerzNUtU1JSkJ6ejj/++APPPfecQxZhcbQePXoYla1btw4rV67U\\\n",
       "vff19TV5rlgsthgWLYmNjYVYLLY5sKvVahw9etSoXKPR4JVXXsGbb76JsLAwXLp0qUz/GKBWq+Hp\\\n",
       "6cmtKGzEoEdEzoCBkKia2rhxI1asWIH4+HgEBgYiJCQErq6uuH//Pq5duwYXFxcMGTIEM2fORJ06\\\n",
       "dSq7u+QAx48fr+wuICAgAKNHj67sbphlahTM8Eu9udBX2nOJpbl//z58fHzK1IahnJwcXLx40SFt\\\n",
       "abVaDBw40CFtOQNbRv4YHImoOuOUUaJqqHXr1vjkk08wcuRI3Lp1C3fv3kVCQgIOHTqEixcvIicn\\\n",
       "B9u2bYNWq0VkZCS2bNlS2V2mMpDJZDh58iTatWtX5rYEQcCvv/6K3bt3V8gWCRVtxIgRRmU1atTQ\\\n",
       "e284dbNEadNRS2O4+A0REVF1wEBIVA19+OGHOHbsGCZOnIhatWoZHVcoFOjSpQvWrl2LS5cu4Ykn\\\n",
       "nqiEXpIjlCw00rp16zK3pVarIZVK0a9fP8TExEAikZhdbbO6MrXthmHwXbhwoVEdcyN7165dw8SJ\\\n",
       "E61afXTcuHFW9dGRAgICIJFIKvy6zoDPEBKRs2AgJKqGYmNjra7r5+eHtm3blmNvqLrYuHGj3nNo\\\n",
       "giDgySefrLSFasqDl5eXUdmjK3kCMLk1R1BQkMn22rZti7Vr1yIiIsJo649HFRQUYOPGjTb2tnSW\\\n",
       "gkaLFi1w+vRpTJs2zeHXJQZCInIeDIREj4n09HScP38eZ8+e1XsRlRg7dqxRWWZmJoYPH14JvdHn\\\n",
       "qK0CTMnJydFt5ZCTk2Ny24lBgwYZlWVkZCA7OxuCICAnJwdubm6Ij4/Xq1NYWIh69erB3d0darXa\\\n",
       "of2eNGkSVq5caXIhIR8fH5w5cwbBwcFYvHhxmae7kjEGQiJyFgyERNVcQkICmjdvjuDgYLRo0QKt\\\n",
       "WrVC69atdf8lKiGVml5H7OrVq5X6POG3334LmUwGmUyGRYsWmaxTXFyMF198ES1atMCvv/5qtr87\\\n",
       "duwwKhMEAUOGDMGdO3cQGRlp8rxhw4YZlUVFRRmVtWvXDjKZDAEBAZDJZHBzc8P169ct3Z4RiUSC\\\n",
       "//znPxancicnJ2PlypWYOHEifv/9d6Pjqampeu8TExNt6gOVjoGQiJwFAyFRNTd69Gg0bNgQcXFx\\\n",
       "uH79Om7cuKH3X6ISFy5cMPriGhQUhH379lXaF9r79+9j5MiR0Gg00Gg0ulVxH53G+sknn8DFxQWb\\\n",
       "N2/GuXPn0K9fP0gkEqxYsUIvGGq1WowZM8bkdf7++2+sWbMGd+7cMXm8bt26RmXJyckm66rVamRk\\\n",
       "ZNg1IiiTyVBcXIwDBw7g2rVr0Gq1GDJkiO7z9/X1RVFRkd6IX48ePfSC7LvvvguFQqHXroeHBzw8\\\n",
       "PIyu5+3tjcGDB6NFixZ81tBGDIRE5Cy47QRRNXf9+nX8/PPPqF+/fmV3haq4unXrQqPRIC8vD2q1\\\n",
       "Gt7e3g7Z17AkzEmlUpvbMzVKlpSUBLlcjoYNG+LGjRsmVwUVBAHTpk3DG2+8gQEDBiAzMxPHjx83\\\n",
       "+5xfyXYZGo0GH374od6x8PBwk/12d3fXTTV1lMWLF+sFM5FIhA0bNmDDhg0Wzztx4gSSkpLg4uJi\\\n",
       "dv/HrKwseHt7Iz8/H66urrh16xb8/f316giC8FiEl3nz5pX7NbjtBBE5C44QElVz3bt3x5kzZyq7\\\n",
       "G1RNiEQieHp6wtfX12x402q1SEpKMrmn36M+/fRTSCQSSKVSKBQK3a8jIyNx/PhxXfA0N72z5Bk9\\\n",
       "UzQaDRITE81uEVFCrVbjhx9+wK5du8y2BQCnTp3CE088gYULF+LChQtwcXGBSCSCr68vrl69avIc\\\n",
       "U9NPyyoiIsLuc2vXrm02DAIPp6Lm5eVBo9GgoKDAKAwCDC5ERGSMI4RE1dyXX36JESNG4Pz582je\\\n",
       "vLnRptu9e/eupJ5RdTVo0CD8/PPPAIB33nkH77//vlGdDh064Pjx40blGo0GCQkJ6NChg165p6cn\\\n",
       "fv75Z3Tv3h0ikQhpaWkIDQ0tnxswsHHjRnh7e+veN23aFIWFhVAqlZDJZGZDkiP2fTS0bds2dO3a\\\n",
       "1eHtPsoRo77EEUIich4MhETV3JEjR3D48GH8/fffRsdEIhE0Gk0l9Iqqq7i4OPz000+69wsWLMCi\\\n",
       "RYuQn58PqVQKQRDg4+NjtJVDaXJzc/HMM884urulunv3rtktJeRyeanna7VatG7dutRR+LCwMNy8\\\n",
       "eVM3Sufl5WVyZHT79u3WdZwqHQMhETkL/jMiUTU3ZcoUDB06FHfv3oVWq9V7MQzSo3JycrB7927k\\\n",
       "5+ebrTNw4ECjMqVSicDAQMTFxeH555+3OQxWlkOHDpkNg9YSiUQ4fvy4yUVnSjRr1gzJycm6ZwM9\\\n",
       "PDzMLujUt2/fMvWHKg4XlSEiZ8FASFTN3bt3D6+99hoCAwMruytUhSUkJMDHxwcxMTHw8PAw+3yg\\\n",
       "4XYGJe7fv49Ro0bhn3/+Kc9uOsz//vc/PPnkkw5pSyqVYuXKlSZHFGvXro3z588blYeHh8Pd3d2o\\\n",
       "3NT0W6qaGAiJyFkwEBJVc/369cPevXsruxtUxXXo0EFvCqOXl5fJeo9u9/AokUiE2NhYtGzZslz6\\\n",
       "50jt2rXD22+/bdM5giBApVIhJycHycnJOHv2LA4fPow9e/bg999/x9GjRxEWFgapVAqRSASJRIIp\\\n",
       "U6bg1q1bZtvMzs7WW1H0iy++MHrGtyIVFRVxASobMBASkbPgM4RE1VzDhg0xa9YsHDp0CBEREUZf\\\n",
       "OKdOnVpJPSNHkEgkEIlEUCgU6Ny5M9avX29xpUlTcnNzjaYPazQa/PjjjyaniJry9NNPY/ny5VCr\\\n",
       "1fDy8kJxcbFNfXA0b29vrFq1CmlpaVi2bBnS09MhFouxYMECvP7661a3IwgCvv/+e4wbN87iqqoy\\\n",
       "mQw1a9ZEjx49MHnyZHTt2hVSqeW/QiUSCdRqNR48eABPT89S65cXtVqtt4WGuVVfiYjIOTEQElVz\\\n",
       "X375JTw8PLB//37s379f75hIJGIgrOZKRuwKCgqwc+dOBAYGQiqV4uLFi2jQoIFVbRw7dsxk+Usv\\\n",
       "vWQUCE2FBZFIhO3bt0MkEkEul+OHH35Av379bLwTx2rTpg0GDx4MsViM6dOn29WGIAj48MMP8c47\\\n",
       "75QaklQqFTIyMjB16lR0797dpuv4+vra1T9HqVmzpsP3U3QGXFSGiJwFp4wSVXM3btww+zK3sIWt\\\n",
       "Vq1ahfDwcLi4uJjdbuBRW7ZsQePGjeHi4oKIiAj89ddfescFQcCcOXMQHBwMV1dXxMTEmN0LrjSC\\\n",
       "IFh8FRcX2zz1qyq9TFGr1WjYsCH8/f1L3SsQgNkpxRqNBm+99Zbu/YEDB0zWW7BggV5fevXqVeo1\\\n",
       "DUkkEjz77LPo2LGj1edY2j4hPj7e5j4Yunv3LubNm2f1iFnJ517dWNqfkcx7HKaMxsfHV9m+EVHV\\\n",
       "wUBI9Ji6e/cuFi1aVOZ2Nm/ejOnTp2Pu3Lk4efIkWrZsidjYWKSnp5usHxcXh8GDB2PMmDE4deoU\\\n",
       "+vbti759++otvLFo0SJ88sknWLt2LY4dOwZ3d3fExsaWugk56cvMzIS7uztcXV0xceJEs6t/bt68\\\n",
       "2WwbH330ETw8PBAUFITo6GiTdQynYNoz9fGpp57Cli1bsGPHDoSEhJRav2fPnnjw4AF+++03k8dz\\\n",
       "c3Nt+keEkmcElUol1Go1ioqKsH79epumvopEojKvWloZuC+hfR6HQBgZGVnZXSCiaoB/SxBVc6NH\\\n",
       "jzb5Gjp0qENWNFy6dCnGjh2LUaNGoWnTpli7di3c3Nzw9ddfm6y/YsUKPPvss3jzzTfRpEkTvP/+\\\n",
       "+2jTpg1WrlwJ4OEX8+XLl2P27Nno06cPWrRoge+++w4pKSnYunVrmfvrjIqKirBmzRp4e3vDx8cH\\\n",
       "ycnJumPp6emljhTn5+cjLS3N7HFTAdDWUHju3DkUFBRAIpGgcePGpdb/9ddf4eXlhV69epntf5s2\\\n",
       "bUptp6CgAK1atYKLiws8PT3RoUMH7Ny5E5cuXcLGjRttuofnnnuuUheFsdcbb7xR2V2olh6HQFii\\\n",
       "qvePiCoXAyFRNffgwQO9V2ZmJo4fP459+/Zh8eLFZWpbqVQiISEBMTExujKxWIyYmBgcOXLE5DlH\\\n",
       "jhzRqw8AsbGxuvo3btxAamqqXh1vb2906NDBbJtkvezsbNSuXRtyuRy+vr4ICgoq8yIipsKiqVDn\\\n",
       "4+ODuXPn4vXXXzcKTpmZmRg4cCCuXLmCevXqWfyCGhgYqHd+3bp1ERwcbFSvoKDA4vTl27dvw93d\\\n",
       "HWfOnIFSqURxcTFOnz6NQYMGYdCgQbh48aLZcx8lEonw7rvvmh2trOo++ugjuLq6VnY3qp3HKRAC\\\n",
       "xvdDRFSCgZComvv111/1Xr/99hvOnz+P+fPnl3nELTMzExqNxmiPw8DAQLP71aWmplqsX/JfW9oE\\\n",
       "gOLiYuTk5Oi9yDyVSoWsrCyHrCi5fv16o7Jx48bpfi0SidC0aVOcO3cOs2fPxuzZs1GjRg2jc06d\\\n",
       "OoWkpCS0a9fOYkCZMGGCUdmrr75qsq6lRZP69Oljsjw/Px/Xr183WnnVnEaNGmH27NlW1a2qdu7c\\\n",
       "WdldoEpS8jx1165dK7srRFRFMRASPaYGDx6Mffv2VXY3HGbhwoXw9vbWvWrVqlXZXXIas2bNMtqf\\\n",
       "cPLkyTh+/Dji4uKgUqlw4cIF3T59Pj4+6Nmzp1E7eXl58PHxwciRI5Geno4vv/zSaPP2WrVqYe7c\\\n",
       "uUbnmpv2eOzYMajVaqNytVqNkydPmjxHEAST55giEomwY8cOk5vSm2pXqVTiwYMHuHr1Ki5cuGDV\\\n",
       "oj8VoXPnzlCr1Vi1alVld6VaqY6jg+b6tGjRIr0Ft4iISjAQEj2mzpw5g9atW5epjZo1a0IikRhN\\\n",
       "GUxLSzO7uEZQUJDF+iX/taVN4GEoyc7O1r0efU6OypcgCKhdu7ZemUgkQrt27RAVFaW3+XoJU4u1\\\n",
       "iMVidOzYETKZDO7u7hgzZgzy8vKg1WpRWFgIlUqFpKQkk32QSCRG4bHE008/bVT26aefWnNrpRIE\\\n",
       "wWg7F1MWLlwIhUIBhUKBGjVqoGHDhmjevDnc3d3h5+dn9WhkeZJIJJg4cWJld6PaeBymjD76Dxnt\\\n",
       "2rWrsv0kosrFfQiJqjlTe7ClpaVh27Zt6Nmzp97xpUuX2tS2XC5H27ZtsXv3bvTt2xfAw33xdu/e\\\n",
       "jcmTJ5s8JyoqCrt378a0adN0Zbt27UJUVBSAh8+DBQUFYffu3WjVqhUAICcnB8eOHTM5VbBEyZdt\\\n",
       "qhx37tzBggULrJ46+fvvvxuV1apVy+TPUCQSwcXFpdQ2n3vuOZMrpu7btw/37t2Dn58fgIchbtas\\\n",
       "WVb10xojRozAc889Z3Y/wU8++QRvv/222fPv378PV1dXFBUVccXPasSWoFfVglbJnyeVSgWpVGr1\\\n",
       "iDgROScGQqJq7tSpUybL27Vrh/T0dN32EPZ+YZk+fTpGjBiByMhItG/fHsuXL0d+fj5GjRoFABg+\\\n",
       "fDhCQ0OxcOFCAA+f9YqOjsaSJUvQs2dPbNq0CfHx8fj88891/Zg2bRoWLFiABg0aoG7dunj33XcR\\\n",
       "EhKiC51UNb377ruYMmUKvL29LdY7ceKEyWc8Z86cWabrt2rVyuwWGgEBAWjYsCE+//xzTJkyxabt\\\n",
       "JEojCAICAgKgVCqN/hwJgoDXXnut1DZUKhXc3NxQWFhY5cIDmVadA2FRURFatmwJALrRaZlMBpVK\\\n",
       "VZndIqIqioGQqJozt+m4owwaNAgZGRmYM2cOUlNT0apVK2zfvl23KExSUpLeqEenTp3w/fffY/bs\\\n",
       "2Xj77bfRoEEDbN26Fc2bN9fVmTFjBvLz8zFu3DhkZWWhc+fO2L59u1WjRIZK+yKmUCiq9fMyVe2L\\\n",
       "Zp06dXDv3j2T00QFQcC2bdvQr18/k+eWdVGLf/75x+wxrVaLS5cu4amnnirTNcxRq9UYM2aM0XYr\\\n",
       "9+7dM3q+0pzi4mK4ubmhoKCgyv1cyVh1DoQAcPbsWb33DINEZA4DIRGVavLkyWaniJpauGbAgAEY\\\n",
       "MGCA2fZEIhHmz5+P+fPnO6qLj63i4mLcvHkTLVq0cOiol72ys7Ph7++P9957D+7u7ti3bx/Onj2L\\\n",
       "1NRU3Lt3z+Kzcjdu3EDDhg1LvUZJgH/0S3ZhYSEOHjxY9hsog3Xr1hkFwm3bttnURlFREdzd3ZGf\\\n",
       "n18lQwT9v+oaCAVB0PUnLCwMt2/frlL9I6Kqhw8zEFVDzz77LI4ePVpqvdzcXHz00UdcWbAak8vl\\\n",
       "aNiwIQoLC23eDL68PHjwAK+++ipefvllbNiwAWfPnkV6enqpC6e89NJLFo9rtVq8+eab8Pb2hoeH\\\n",
       "B9q3b4+//voLR44cQceOHaFUKh15GzYTBAGZmZl6ZZcvX7a5ncLCQnh6ejqqW0RGSlYSTU5Oxrff\\\n",
       "fqsrt/UfMIjIOVSNbxdEZJMBAwagf//+8Pb2Rq9evRAZGYmQkBC4uLjgwYMHuHjxIg4dOoS//voL\\\n",
       "PXv2xMcff1zZXaYyEolEOHPmDJo1a1bZXbHb/fv3MW7cON3zpIY6d+6MI0eO6N6fOHECzz33HEQi\\\n",
       "kdXTMsvbyJEj8ccff+jex8bG2vXnKz8/Hz4+PsjKynJg78iRqusIoaHhw4dj+PDhld0NIqrCGAiJ\\\n",
       "qqExY8Zg6NCh2LJlCzZv3ozPP/8c2dnZAP5/k/DY2FicOHECTZo0qeTekqM0bdoUIpGoWj8T+cUX\\\n",
       "X0AikWDNmjV65RcuXDA56l3V9kzbvn273vuyPLOYnZ2Nvn37YuvWrWXsFZWHxyUQEhGVhoGQqJpS\\\n",
       "KBQYOnQohg4dCuDhl8vCwkL4+flBJpNVcu+ovDz33HMmt3QoWZCnqKjI5HkikQjBwcG4d+9epT+L\\\n",
       "uHbtWiQmJuKff/6BVCqFUqlE3759q1TwM0ej0aCoqEj3ectksjIt679t2zZotVpuR1EFMRASkbPg\\\n",
       "30BEjwlvb28EBQUxDD7mPv30U70vnyKRCB9//DFyc3ORn5+Pf/75x2gFUE9PT1y4cAHXr1/HL7/8\\\n",
       "YhQ+/Pz8jDaeL2/79++Hr68vZsyYgWeffRbXrl2r0Otb4urqih9++AHvvfeeyeOGo+6lLZQjl8st\\\n",
       "Br7U1FSb+0jl73HYmJ6IyBocISQiqsLeeOMNREZGonv37vD09IREIkG3bt2wf/9+aLVahIaGYtiw\\\n",
       "YboFZ7p164a0tDQkJCQgODgYTZo00VuMpmXLlpBIJNBqtQgJCdFbgVClUkEul1fYveXl5VXK861i\\\n",
       "sRihoaHIz8/H/fv39Y699dZbuj01AeCdd94x+keWmzdvQiaTISEhAWq1GleuXLF4vdIWw5kxYwY2\\\n",
       "bNhgdf8FQUB+fj4kEglcXFz0fn5//vknlEolXnjhBY46llF5jxCW7EtpqDqMlBPR44WBkIioCluy\\\n",
       "ZInu10FBQXjllVfg5eUFiUQCjUaD27dvo2HDhhgyZAj69u0LPz8/BAUFoVu3biZXJZ00aZJuPzKJ\\\n",
       "RKL3RVYmk0EsFleZBVzKQ/PmzXHmzBldWFKr1Rg1ahS2bduG7t2744MPPtCrL5VKcePGDdStW1ev\\\n",
       "XK1W6zb+LitbniE8duwYoqOjoVQqIRKJEBgYiJdffhl5eXn46quvkJOTA5FIhOXLl2Pq1KkO6R85\\\n",
       "XqNGjfTCYMm0Y4Z4IqoM/D8PEVE1kZqaii+++ALnzp2DUqnULbiSk5ODNWvWIDY2Fu3atUOvXr1M\\\n",
       "nl9QUIDffvtN9z45ORn//vuv7v3169ftDoNisbhCps25uLigcePGqFGjhs3nent74+zZs3pfuqVS\\\n",
       "KdavX4+srCz88ssvJu8hPDwcnTt3LlO/LcnPz8elS5dKrTdr1ix07NgRxcXFEAQBWq0Wd+/exfvv\\\n",
       "v49ly5YhJycHwMMRps8++8xsO7ZOhayKr5LPwNKrrMpzymjJqHJJX1UqFQRBKHXrFiKi8sBASERU\\\n",
       "jWRmZuLOnTtmv/AKgoBTp04hMTHR6NjTTz9tdF6DBg0QGhqKhg0bol69ejb3RywWY8CAAfjiiy/M\\\n",
       "jko6ikQiwe+//45z584hPT0d165dQ9u2ba0aVZFIJPj333/NfnEvLdAePHiwXEdvWrZsiZdffhn7\\\n",
       "9u3DzZs3kZubC7VaDY1Gg5SUFPj7++PDDz+0uj0Gi7KriGcI+RwiEVUFnDJKVM2NGDECY8aMKdPy\\\n",
       "91R9qFQq3ZRPSzp16oSsrCzdAjOnTp1CXFycybopKSl29UUkEuH48eNo06YNgIf7Y44ePRq//fab\\\n",
       "bsTDkXr06IHu3bvrvjg/8cQTiI+PB/BwU3uNRoP79+/j+vXruH37NhISErBz507cv38fM2fORM2a\\\n",
       "Nct0/du3byMkJKTM92GKUqnEV199ha+++sph7RnKz8/HgAEDHNK+M7DnGcJz584hMjJSVx4dHa03\\\n",
       "7duadvgMIRFVNAZComouOzsbMTExqFOnDkaNGoURI0YgNDS0srtF5cTaL4t5eXnw8fHB66+/jr/+\\\n",
       "+gsnTpxweF/eeOMNtG3bVvfe09MTGzduREJCAu7cuQNvb28kJSVh8eLFuHz5cql9F4lEqF27Np57\\\n",
       "7jlcuXIFcXFxKCwshEgkQnR0tNkpncDDET6xWIzAwEAEBgYCeBhQFy5ciPz8fIesvhscHIzatWsj\\\n",
       "KSlJr1wikeB///sfXnrpJQiCgEuXLuHLL7/E77//bnYbkPJ2+/ZtKJVK3SJBSqUS9evX54qmNrAn\\\n",
       "ECqVSiQkJOjKExISLAbCR/9McISQiCoLAyFRNbd161ZkZGRg/fr1+PbbbzF37lzExMRgzJgx6NOn\\\n",
       "D7ehcGJ5eXmYP39+uY04zJgxw6hMLpejXbt2aNeunW508qWXXsLHH3+M+fPnm53KKBaL8frrr2P+\\\n",
       "/PlQKBTQarXIzMzE5s2bUVRUhHHjxtk1HVUkEsHNzc3m88zZtGkTOnXqpFcWFhaGKVOm6K5Tu3Zt\\\n",
       "xMTE4MaNG4iIiDC5kuSj/ZNKpVaN+tpCpVLh0qVLaNGiBQAgNzcXWVlZDr3G486eQCiXyxEREaEr\\\n",
       "j46OLpe+ERE5Ep8hJHoM+Pv7Y/r06Thz5gyOHTuG+vXrY9iwYQgJCcFrr72Gq1evVnYXqZKUNQw+\\\n",
       "8cQTCA8PN/piPHLkSLNTMKVSKaRSqe4LtaurK+bMmQO1Wo3t27fr/SOFVCrF5s2bodFosGjRIt02\\\n",
       "ChKJBIGBgZg6dSpmzJgBHx8fu+/Blmf/lEol7t27Z/Zzi4qKwiuvvKJ77+XlhYsXLxqFTrFYjHr1\\\n",
       "6qGgoMBs3xs3bozc3Fzk5ORg2LBhVvfRWm3btsWFCxd004yDg4Mdfg3SFxERgfj4eN3LlumiRESV\\\n",
       "hYGQ6DFy9+5d7Nq1C7t27YJEIkGPHj1w7tw5NG3aFMuWLavs7lE14urqCpVKhWvXruHGjRvQaDSI\\\n",
       "i4vDwIEDcfjwYXzzzTd2tRsbGwulUqlbMEWlUmHgwIEO7r2x/Pz8UsNxbm4u3NzcULNmTUgkEuzf\\\n",
       "v99kvbVr1+L69ev47bffkJmZWeoI5L1794xCaa9evZCYmAh3d3e4uLjgu+++w44dO2y7qVKo1Wp0\\\n",
       "7twZeXl5CAgIwPnz5/HTTz859BqPs4paVMZw+xcioorGQEhUzalUKvz888947rnnUKdOHWzZsgXT\\\n",
       "pk1DSkoKvv32W/zzzz/48ccfMX/+/MruKlUTkZGRKCgo0JuiKRKJEBUVhc2bNxtNmbSHRCKpsD3X\\\n",
       "1Go1RowYgRUrVlis16hRI92UVkEQ0KVLF7Mhsm7duujVq5dVU7LFYjHy8/Ph6+sLuVyOL774Qm/7\\\n",
       "jxLPPPMM1Go1unbt6rCAkJ2drdtf0s3NDf3793dIu86gPAPho7+vHt3qhQvKEFFl4DOERNVccHAw\\\n",
       "tFotBg8ejOPHj6NVq1ZGdbp27VqmKXf0eBs5ciS+/vrrx3aUYvr06fj111/x66+/YtasWSgoKDB5\\\n",
       "r2lpaUZlEokEGo2mzJ+Ni4sL7t+/X2o9iUSCPXv26N6r1WosX74cM2bMsCssKBQKeHh42HwePVSe\\\n",
       "fyYY/oioquAIIVE1t2zZMqSkpGDVqlUmwyAA+Pj44MaNGxXbMaoWJBLJYx0GAehNxSwqKkKTJk1M\\\n",
       "1mvWrJlRmSAI+P777/XKVCoVtm/fjrNnzzq2oyZIpVK88cYbWL9+vV3n796928E9ch4VMWWUiKgq\\\n",
       "YCAkquaGDRsGFxeXyu4GVVPO8PySYQC8fPkysrOzjeqdPn0arq6uRuV//vknNBoNBEFAYmIivLy8\\\n",
       "8N///hctW7aEh4eHyT3/HG3w4ME2/5wiIyNNTu8VBKHavxQKRbkHNAZCInIWDIRERFVYz5494eXl\\\n",
       "VW7tK5VKvWeYylN5XCcxMRErV660GMq+++47ozJTz9KJxWIUFBTgiy++gIuLC8RiMTp06KB79jA7\\\n",
       "Oxvdu3fX21swPz8fCoUCBw4ccMDdmCcWi6FQKEwek0gk8Pb2hru7O+RyOXx9fXHo0KFy2XvSmTAQ\\\n",
       "EpGzYCAkIqrC/vjjD2RnZ+PkyZPldg3DKZGG7t69C3d3d8hkMqxatcpsvS1btqB///7Yv3+/bnEW\\\n",
       "rVaL999/HxKJRLeQzMiRI40W0li7di0UCgXEYjE8PDxw9+7dUvv92muvoWnTppgyZQpcXFzQoUMH\\\n",
       "k/W8vLwQGhqqV3blyhWz7b788ssoLCyERqPB0aNH4e/vD4lEAnd3d7PBMzo6GqGhoeUarsPCwvTe\\\n",
       "i0QiHD9+HGq1GllZWcjLy0NxcTHu37+PJ598stz6QUREjxcGQiKiaqB169bYunVrubQ9evRos8c0\\\n",
       "Gg1CQkJQUFAAtVqNyZMn4+uvvzaq5+rqioEDB+KXX35Bly5ddHsRSqVSzJkzRxeUBEHAt99+C4lE\\\n",
       "gqCgIISGhkIikWDChAlQKpUQBAH5+fkICQmxuKE7AL1VQwVBwPHjx81ufJ+UlKQ3tbpNmzYW2zZF\\\n",
       "JpNh9uzZZo+npKRAIpEgKioKubm5elMcHREUN2/erFuZ1c/PD0qlEu3atStzu2QaRwiJyFkwEBIR\\\n",
       "VRN9+vQxO22wLFQqFTIyMkwe+9///mdUNnbsWL33W7Zs0ZtGWaLkuTtz0tLSkJKSYrZO/fr1zZ5b\\\n",
       "WtuGxGIxsrKy0Lp1a4SFhWHBggVWn/uoqVOnQiKRWKxz9OhReHl5QSwW614lz2r6+PggISHBrmu3\\\n",
       "adMG2dnZyMvLQ2Zmpt62IOR4DIRE5CwYCImIqpHff/+9XNp97bXXTJYvWrTIqEyr1eqNeL366qvl\\\n",
       "0qeUlBSzx0yNuNWoUcNiWFMoFDhx4gQSEhLQuHFju/okFouxadMmu84FHj6HGBkZieDgYBQXF9t8\\\n",
       "voeHB9zd3e2+PlmPgZCInAUDIRFRNfLUU0+VS7s///yzyfL8/HyT5Y9+Ac7LyyuXPgGwuFjMo5vC\\\n",
       "z5gxw+Q+goYkEgkCAgLKNLrWv3//MgeA1NRUdOzYsVz3osvNzUVycjKysrKgVCqh0WjMTqklYwyE\\\n",
       "ROQsGAiJiKqR8vriWVRUZBQWLAWsR/thbuNzd3d3pKWlITMzExEREUbnR0dH48yZM/j111/Nbp1i\\\n",
       "7tk7lUqFqKgo1K5dG8eOHcNHH31UYVMoRSIR5HJ5mduQSqXlEggXLFgAsVgMLy8v1K5dG76+vlAo\\\n",
       "FLpnOsk6DIRE5CwYCImIqhFTz+o5SlJSkt77efPmmaxn+OXX09PTZL1PP/0UAQEB8PPzw/HjxxER\\\n",
       "EQGJRAKpVIoBAwZg586daNGiBfr27Yt///3XKGS5uLiYnQKanZ2Nbt26Yc2aNZWysEpZgpxIJIK3\\\n",
       "tzfefvtt3SIxjnL9+nXMmTOnXEceiYjo8cJ/KiQiqkYsbftQVg0aNEBmZia8vb1x+PBhrFmzxmQ9\\\n",
       "w+Dm7e1tVEcsFmPUqFG69y4uLjh79qzZa4eGhqK4uBh5eXnYvHkzAgIC8PTTT+umhQqCgIKCAvzx\\\n",
       "xx9Yv349BEHA3Llz0b59e3tu1YharYZWq7Vq5E+r1dq9GX2HDh2wc+dOeHp6OnxU6eeff8YLL7zg\\\n",
       "0DadmS0jfxwhJKLqjIGQiKgaEAQBmZmZJhd5cRSNRgNfX1+IxWKL2yQ88cQTeu/v3LljVMdw3z9r\\\n",
       "eXh4YMyYMXplarUazZo109s7UCwWm1wB1R75+fkIDAxEQUEBXFxccPv2bdSoUcNs/fDwcLuu4+bm\\\n",
       "hri4OJtHBTds2IDDhw9j6dKlcHV1NVnn/PnzDIMOxkBIRM6CgZCIqAorCQ9isRgymaxCFgUpbc+8\\\n",
       "R/f/A0w/a9ilSxeH9efq1atGG8lrtVrk5uY6pP133nlHt3hOYWEh/Pz8kJ6eDn9/f6O6b7/9NpKT\\\n",
       "k+26Ts2aNW0Og35+frh//z4AYO3atdi8eTMGDhyoVycjI8PoGU0qOwZCInIWfIaQiKgKK9nYXKPR\\\n",
       "oKioCH5+fhg4cGCZFzUpi5iYGL3+mQqpzzzzjMOuFxcXZ7LcEZu9A8DXX39tVGZqFFCr1WLhwoV2\\\n",
       "X8fSNhqm1KpVSxcGSwwaNAht27bVrRq6YsUKBAQE2N0nMo+LyhCRs+AIIRFRNbJs2TK8+OKLUKlU\\\n",
       "8PDwsPtZNnudPHlS78uvuev/97//ddg1zU3fDAsLK/VcQRBK/bJuatuMwsJCk22ZIpVKMWvWLDzx\\\n",
       "xBOYNGkSCgoKTNZTq9XYv38/oqOjLfZHq9UiMDAQmZmZJo+fPHkSCoXCYhtUdhwhJCJnwRFCIqJq\\\n",
       "5NlnnwXwcA++n376yapzRCIRIiMj8ddff+HixYv48ccfLW7gbs7UqVPRunVro7ZNXc/SM3i2enRE\\\n",
       "8lHBwcFmzxEEAa1bt4ZcLtd9ZubqmQp6Xl5eRmUSiQQffvih7p4VCgUuX74MlUqF+fPnY+TIkcjP\\\n",
       "zze7DQcAdO3aFampqUblarUaly9fRvPmzSGRSMyGQSIiIkdjICQiqkYeDYG1a9e2WFehUECj0UCr\\\n",
       "1eLEiRP473//iyZNmmDAgAFQq9VQKpVWP9OmUCiMnh0EHq442qlTJ937xo0bQ6PROHTExNPT0+Q+\\\n",
       "hY9uTP8otVoNsViM06dPQ61WY8eOHUYL4ZRo2bKlyXLDqZolZs6cCa1WC0EQUFRUhIYNGxrVOXbs\\\n",
       "mLlbgSAICA4ONppuKJPJ0LhxY1y4cMHsuVSxOGWUiJwFAyERUTUyYcIE3SbyL774osW6aWlpFgOf\\\n",
       "TCazemEWSyOKhw4dwuXLl5GTk4PExES9L8eCIKBFixaQy+UYNGiQVdcyxdR2GydPnjRZ19fX16js\\\n",
       "xo0bUKvVemX//vsvzp07Z1S3efPmZdofcMSIEXafayuFQoH33nsPR44cwTfffFPmvtP/YyAkImfB\\\n",
       "vzWIiKoRtVqNwMBAtG3bFpcuXTJbTyKRmNwf0JCbm5tVi50UFBSYfYZOJBKhYcOGJjeo/+6773Du\\\n",
       "3DmoVCr8+OOPCAwMLPVapjz99NNGZU8++aTelhdarRatWrUy+UwgANSvXx8qlQparRbr169HgwYN\\\n",
       "TNaLj4+3q48A8NFHH5XpfFu0bdsWRUVFmDt3Ljp27IiRI0fi3LlzUKvVmDJlSoX04XHGQEhEzoKL\\\n",
       "yhARVTM5OTk4c+aMxTqmnoEzJzg4GCkpKQgLC7O4cmf79u1x4sQJq9sFgHXr1um9T09Px86dO21e\\\n",
       "hfTnn382KtNoNAgLC4NEIoFYLNZNjzXn1q1busVYzIVbmUxm14ItmZmZCA4ONhqFLE/mfhYikQif\\\n",
       "fPIJ1q9fj6ysrArrz+OGi8oQkbPgCCER0WPIzc3NpvrBwcHIysqCVGr+3wnj4+MRHR1tNkyZMnPm\\\n",
       "TKOyl19+2aa+CYKA119/3exxjUajG/mzpi1L/X/0eUhrPffcc/D396/QMBgYGFhqCHnppZcqqDeP\\\n",
       "L44OEpEzYCAkInoMZWdn23yOp6cn/vjjD4t1Dhw4ALFYDHd3d/j4+CAgIACbNm0yW//ZZ581eqbN\\\n",
       "mqmsjwoMDHTYnoOlMfW5CYIAtVptMkjGxsbizz//rIiu6Vm8eHGpddq1a1cBPSEiouqOgZCI6DGU\\\n",
       "n59v13menp5WjXgUFBQgOzsbGRkZGD16tMXAVlxcDLlcDgAQi8XYv3+/1f2pXbs2MjIyrK5fVmfO\\\n",
       "nMEvv/wCpVKJBw8ewM3NDWKxGDKZDGKxGI0bN0Z6ejqKioqwaNEi7Ny5s8L69ihrFuipyBHLxxGf\\\n",
       "ISQiZ8FnCImIHkOCIODYsWPo0KGDVfU1Gg0++OADLFiwwKYpocDDL86WVraUSqUoLi5GQUEB5HK5\\\n",
       "xWmpj+rYsSOSk5Nt6otUKoVGo7H5HkoIgoD+/fubPX758mWEhYWhS5cupT7HWR5EIhFmzpxpdsuN\\\n",
       "R6Wnp1dAjx5ffIaQiJwFRwiJiB5T1j4PN336dEilUsyZMwdKpdLm6xw5csSqem5ublaHwby8PIv7\\\n",
       "+RkSiUTo0KEDsrKycPjwYavPs4cgCOjVqxc+++wz+Pv7l+u1Snh6eqJfv344duwYFi5caNU5prbU\\\n",
       "IOtxhJCInAUDIRHRY0qr1SI6OtpinWHDhmHZsmV2te/h4YEHDx6gRYsWdp1vSd++fW2q//zzz+Pg\\\n",
       "wYNwd3dHVFQUPv30U7N13d3dy/QF/tChQ5gyZQr69u2L9PR0ZGdnY/z48ahXrx5atGiBF154Ae3a\\\n",
       "tXPofoBqtRo9evRAq1atrD5n7969Dru+M2IgJCJnwSmjRESPsQMHDiAxMRFNmjQxOiYIAjZs2GBX\\\n",
       "u1u3bkWfPn3K2j2z4uLibKo/f/58vWmUkydPxhtvvIHi4mJdmVgsRl5eHlxdXZGfnw8PDw+briGT\\\n",
       "yZCVlWW0gquXlxfWrFljVF+j0cDX1xe5ubk2XceUwsJCTJo0Ca6urhg8eHCpAUQQBKSlpZX5us6M\\\n",
       "U0aJyFlwhJCI6DHXtGlTk4vMXL161a72jh07ZnMYFAQBSqUSRUVFpa4Yum7dOl2QE4vFGDVqFDIy\\\n",
       "MnD9+nX4+vqaPCcpKcmoLDU1VfdFXSqVQqlUwtXVFcDDUcLIyEir+i6VSrF//34olUqbtvOQSCS4\\\n",
       "efOm1fVLU1xcjCFDhiA8PFwv6JrSsmVLh13XWXGEkIicBQMhEZET8PDwMBoxeuGFF2xuJzAw0OJ2\\\n",
       "BkVFRTh9+jQ+/fRT9O3bF0FBQZBKpRCLxVAoFHB1ddVtJF+nTh1s3boV9+7dw71797Bu3Tq4u7tj\\\n",
       "1KhR0Gq1kMlkSE1Nxddff42aNWuibt26uHPnjsnrDh06FPfu3dMr8/HxwY4dOzB58mQUFhZCIpHo\\\n",
       "Hf/+++8t3mtISAjUajVUKhWeeuopKz8hfTVq1ECdOnXsOtecpKQkuLi4IDQ0FEeOHEFBQQFUKhUK\\\n",
       "CwuxY8cOuLi4WHx+0NagUxVfxcXFuj0lzb2IiMg6nDJKROQkgoKC0KFDB/zzzz/49ddf7Vp0pGvX\\\n",
       "riZHQ37++WcMHjwYKpXKqnYEQUBSUhKef/55s3W8vLyMFm1xcXGBSCQy+sJ///59hIWFIT8/X+/Z\\\n",
       "vc6dO6NLly4mF7MJDw+HWCzWG7EUi8X49NNPMWHCBIeN+uzbtw/169eHRqNxSHslUlJSrF44iGzH\\\n",
       "KaNE5CwYCImInMixY8fg6elZaj1ToUsikaB79+4QBEH3BfjSpUto0aKF1UHQFqaevXvw4IHZ0Z+i\\\n",
       "oiK4uLjgs88+Q1RUFM6cOYOkpCQMHToUwcHBRvUFQcDw4cOxZ88ePPvss1i6dCnc3d0dfh/h4eH4\\\n",
       "7LPPMHHiRLtWcaXKwUBIRM6CgZCIiPSIxWJ4eHigRo0aEIlEUKvVCAgIwIQJEzBgwABotVoUFhai\\\n",
       "T58+2LNnT7n1Q6lU4ty5c4iIiADwcKXN2rVrWzxHpVJh9OjRemVvvfUWxo0bh2XLlkGhUECj0eDO\\\n",
       "nTs4cuQIpkyZgq+++sqhK4KaMmbMGHTq1Alt2rRBUVFRuV6LHIOBkIicBQMhEVE1ZGoEz1G0Wi3k\\\n",
       "cjl+++03NG3a1OjZO0EQ8Msvv5RrGCzRokULNGrUCB4eHjh16lSpC9KYotVqsXbtWqxdu1avXCQS\\\n",
       "YcmSJWjTpo2jumtRkyZN8Oeff6J79+4Vcj0qGwZCInIWXFSGiKiaEYlECAgIgFwuL7dr5ObmokmT\\\n",
       "JkZhsOT6hYWF5XZtQ5cvX0ZCQoJdYdASQRDw1ltvObTN0nTt2rXcRiN9fHywd+9ePHjwALdv38b4\\\n",
       "8eNN/vzIOlxllIicBQMhEVE1IwgCMjIyyvV5NKVSaTFM9OzZs9yuXZGUSiXOnj3r0DY1Gg169eqF\\\n",
       "Nm3a4Pbt23rHRCKRw4O8SCRCcnIyHjx4gC5dusDHxwehoaFYs2YN1Go19u7dy2BIRERmMRASEVVD\\\n",
       "5kbLHDVS8ejCMaaEhIQ8NqMirVq1MrkCqFqttqs9X19f/PHHHzh16hRq1aqFN998U3dMq9U6NMi3\\\n",
       "aNECarUaYWFhZut06dIFarUaCQkJaNSokcOu/bjjCCEROQsGQiKix4iLi4vDpiRaekZRLBajRo0a\\\n",
       "DrlOZRMEAXK5HH///TcyMjIwa9YsSKVSyGQy/Oc//7G5LcPVURcvXozatWvjwoULePHFF8s09dXN\\\n",
       "zQ3vv/8+MjIyoNVqcebMGat/3m3atMGlS5fsvrazYSAkImfBRWWIiB4jarXaYYvNXLlyxeyIklar\\\n",
       "RYMGDXD//n3d9aRSKdzc3KDVapGfn1+tNgfXarXo0aOHUfmhQ4eQl5cHDw8Pq9opCQeG956cnIzm\\\n",
       "zZuXqY/Xrl3DE088UaY2yHpcVIaInAVHCImIHiMqlcphQaxZs2Ymp00WFhZi7NixOHv2LKRSKQIC\\\n",
       "AvDVV18hOzsbDx48QFZWFtLS0jBmzBh4eHiU+5YO5W358uU21R85cqTD+zB69GiHhUFBEKr9S6FQ\\\n",
       "lPuIHUcIichZVO+/pYmo3KhUKsycORMRERFwd3dHSEgIhg8fjpSUlFLPXbVqFcLDw+Hi4oIOHTrg\\\n",
       "+PHjeseLioowadIk+Pn5wcPDA/3790daWlp53Uq11qtXL9SsWbNSrq3RaCCTyRAaGopOnTrB398f\\\n",
       "EokEbm5u+Prrr1FQUAC1Wo0RI0Zg1KhRcHNzg1gshkQigb+/P7788kvk5uZCo9FAq9VCq9VCo9Gg\\\n",
       "oKAAy5cvrzZBcfXq1TbV//rrrx0eEBYtWuTQ9qh0DIRE5Cyqx9/GRFThCgoKcPLkSbz77rs4efIk\\\n",
       "fvnlF1y+fBm9e/e2eN7mzZsxffp0zJ07FydPnkTLli0RGxuL9PR0XZ3XXnsNv//+O7Zs2YL9+/cj\\\n",
       "JSUF/fr1K+9bqpZ+++03ZGRkoLCwsNJWikxJScGRI0eQmZlp9PybIAjIysoq9QtxyZdmsVgMV1dX\\\n",
       "vPrqqygsLKwWX6Qf/b1rrRMnTji0D3FxcQ5tj4iIqAQDIRGZ5O3tjV27dmHgwIFo1KgROnbsiJUr\\\n",
       "VyIhIQFJSUlmz1u6dCnGjh2LUaNGoWnTpli7dq1uRAkAsrOz8dVXX2Hp0qXo1q0b2rZti2+++QZx\\\n",
       "cXE4evRoRd1etePi4oJ33323srth0pkzZ+w6Ty6XIzQ01MG9cTxTK5CWplWrVg7tw8yZM8vchkql\\\n",
       "Qn5+vgN64xw4QkhEzoKBkIislp2dDZFIBB8fH5PHlUolEhISEBMToysTi8WIiYnBkSNHAAAJCQlQ\\\n",
       "qVR6dRo3bozatWvr6pBpc+fORePGjSu7G0YSEhLsPvfixYtmj3l5eVmcLhscHIyNGzdi4sSJ5T79\\\n",
       "NDs726b6EokErq6uDrt+YmIimjRpYtcKpX///TfEYjHkcrnVi+MQAyEROQ8GQiKySlFREWbOnInB\\\n",
       "gwfDy8vLZJ3MzExoNBoEBgbqlQcGBiI1NRUAkJqaCrlcbhQqH61jSnFxMXJycvRezigxMRFvvPFG\\\n",
       "ZXdDj0ajQYMGDew619PTE1Kp6QWvr127hoyMDCiVSshkMr1j7733HlJSUvDSSy9h1apV0Gg0EATB\\\n",
       "qJ6j2DOS6eLi4tA+XLp0CRKJBCKRCNevX7fqnKCgIPTo0aNarfhalTAMEpEzYCAkIgDAxo0b4eHh\\\n",
       "oXsdPHhQd0ylUmHgwIEQBAFr1qyplP4tXLgQ3t7euletWrUqpR9Vwccff4whQ4ZUdjf0/Pvvv3ZP\\\n",
       "He3atavJcj8/PwCATCYzmi47atQok+ckJiba1YfS5Ofno7i42Or6eXl5ePDgQbn0BQDq169fan/O\\\n",
       "nTvHxZrKoCJHCBkuiagyMRASEQCgd+/eOH36tO4VGRkJ4P/D4K1bt7Br1y6zo4MAULNmTUgkEqMv\\\n",
       "oWlpaQgKCgLwcMRCqVQiKyvLbB1TZs2ahezsbN0rOTnZzjt9PGzYsAH5+fl4/fXXHTo1sSxatWpl\\\n",
       "9nk7QRCgUqlMHluxYoXJ8ke/HNerV0/vmOHm7+bqOZI1o6AqlQpvvfUWPD09y60fwMPP09zKo4Ig\\\n",
       "YM+ePWjRokW59uFxV1GBkCGQiCobAyERAXg4da9+/fq6l6urqy4MXr16Ff/8849uxMYcuVyOtm3b\\\n",
       "Yvfu3boyrVaL3bt3IyoqCgDQtm1byGQyvTqXL19GUlKSro4pCoUCXl5eei9n5+bmhsWLF6OgoAB3\\\n",
       "796tEl8sfX19jcq0Wi18fX0hl8vh4uJi9Dyev7+/ybYeHQGbPn263rF169aZ7YObm5vJcoVCgZo1\\\n",
       "a9r9vGFycrLJEUhBEDB06FDdc3offfSRXe3bQiaTITIyEpmZmfj7779Rp04dyGQyiMViiMVidO/e\\\n",
       "vdz78LiriEDYrVs3B/eaiMh2DIREZJJKpcILL7yA+Ph4bNy4ERqNBqmpqUhNTYVSqdTV6969O1au\\\n",
       "XKl7P336dHzxxRf49ttvkZiYiAkTJiA/P183xc/b2xtjxozB9OnTsXfvXiQkJGDUqFGIiopCx44d\\\n",
       "K/w+qzoPDw94enoiICAAEydONDtNMCgoCAcOHKjg3hnLzc01er5t8+bNuhBYXFwMHx8fbN68WXf8\\\n",
       "559/NtlWnz59oFKpcPz4caNR55JVa005ffq03nuxWIz09HQUFRUhIyMDGo0Gt27dsmsbj6ZNm2LR\\\n",
       "okVQqVQoKirCyy+/DLFYjI0bN1bYc3offvghioqK8Oyzz0Kj0aB3795ISkqCWq3ms4KV7Ny5c4iM\\\n",
       "jNS9Xn/9dYv19+7dCwD8uRFRpTL9JD8ROb07d+7gt99+A2C8hP7evXvRpUsXAA8X/sjMzNQdGzRo\\\n",
       "EDIyMjBnzhykpqaiVatW2L59u95CM8uWLYNYLEb//v1RXFyM2NhYmzf/dhYl2wTk5eVhzZo1WLNm\\\n",
       "DR48eGBypdcnn3yygntnWmRkJO7fv697/9NPPxnVefHFFzF27Fh07NgRe/bsMdnOjh07UKNGDZNb\\\n",
       "JRhOOX5UgwYN8Oeff2LMmDEYPHgwlixZYjSCU7t2bSiVSsjlcpu3lZg5c6ZDtoGQSCQYOnQoOnbs\\\n",
       "iI8++gg3b960WF8ul6OwsFBvhNPf3x9qtbrMfSFjtoz8ldQrWWm5REJCApYsWWLxnFdeeaWMPSUi\\\n",
       "KhsGQiIyKTw83Kp/tTb1JXby5MmYPHmy2XNcXFywatUqrFq1qixddFohISEoKCgwKi/5Alueow1y\\\n",
       "uRznzp1DnTp1sGrVKpMjIIZhrXv37vjll1+M6uXm5mLXrl0Wr5eXl2eyvLTtF3r06IG7d+9arCMW\\\n",
       "i3Hp0iW7V0gtC6lUitzcXN1KpK+88grat2+P+Ph4s+fk5uYaTXctmSJqz3YUZJk9gVAulyMiIkJX\\\n",
       "Hh0dbbL+oyvQrl27tgy9JCIqO04ZJSKqZgoLCytlilmNGjVQXFyMhg0bQqFQYPr06Rg5cqRRPcO+\\\n",
       "vfjiixXUQ9vVr1+/Uq67bt06vVAgEonw1Vdfma2vUCggl8tNHqsqiwo9bux5hjAiIgLx8fG6l7nR\\\n",
       "wUenfhsGT5FIpJudQURUERgIiYiqIVunOTrCtWvXjMqsmerr7e1dHt1xmMpYjKdXr15GZeYW1wFg\\\n",
       "tLfnowICAhzSJ9JXnovKdOrUyeLx3r17l6XrREQ24ZRRIqIqzNaRwIqeOujq6lpqHyUSSZVeNKOq\\\n",
       "TLcMDg6263OydpN6so09U0atdfjwYbNtVOU/K0T0eOIIIRERERERkZPiCCERERGRgfIcITSFI4NE\\\n",
       "VFkYCImIiIgMVHQgJCKqLAyERERERAYYCInIWTAQEhERERlgICQiZ8FASERERGSAgZCInAVXGSUi\\\n",
       "IiIiInJSHCEkIiIiMsARQiJyFgyERERERAYYCInIWTAQEhERERlgICQiZ8FASERERGSAgZCInAUD\\\n",
       "IREREZEJDHpE5Ay4yigREREREZGT4gghERERkQFOGSUiZ8FASERERGSAgZCInAUDIREREZEBBkIi\\\n",
       "chYMhEREREQGGAiJyFkwEBIREREZYCAkImfBQEhERERkgIGQiJwFt50gIiIiIiJyUhwhJCIiIjLA\\\n",
       "EUIichYMhEREREQGGAiJyFkwEBIREREZYCAkImfBQEhERERkgIGQiJwFAyERERGRAQZCInIWXGWU\\\n",
       "iIiIiIjISXGEkIiIiMgARwiJyFkwEBIREREZYCAkImfBQEhERERkgIGQiJwFAyERERGRAQZCInIW\\\n",
       "DIREREREBhgIichZcJVRIiIiIiIiJ8URQiIiIiIDHCEkImfBQEhERERkAoMeETkDBkIiIiIiAxwh\\\n",
       "JCJnwUBIREREZICBkIicBQMhERERkQEGQiJyFgyERERERAYYCInIWXDbCSIiIiIiIifFEUIiIiIi\\\n",
       "AxwhJCJnwUBIREREZICBkIicBQMhERERkQEGQiJyFgyERERERAYYCInIWTAQEhERERlgICQiZ8FV\\\n",
       "RomIiIiIiJwURwiJiIiIDJTnCKG5+oIg2NQOEZEjcISQiIiIyEBJILT25Qg9e/Z0SDtERLZgICQi\\\n",
       "IiIyUJ6BUBAEvVdAQAAA4K+//iqPWyEisohTRonosTdv3rzK7gIRVTP2TBk9d+4cIiMjdeXR0dFY\\\n",
       "smRJqednZmba10kiIgdgICQiIiIyYE8gVCqVSEhI0JUnJCSUGgjj4+Oh1WoB8BlCIqocDIRERERE\\\n",
       "DiCXyxEREaF7Hx0dXeo57dq1AwC4uLiUW7+IiCxhICQiIiIyYM8IYUREBOLj4226BgBIpVIUFhba\\\n",
       "3kkiIgfgojJEZJXx48dDJBJh+fLlpdZdtWoVwsPD4eLigg4dOuD48eN6x4uKijBp0iT4+fnBw8MD\\\n",
       "/fv3R1paWjn1nIjIduW5qExKSoreOSqVytHdJyKyGgMhEZXq119/xdGjRxESElJq3c2bN2P69OmY\\\n",
       "O3cuTp48iZYtWyI2Nhbp6em6Oq+99hp+//13bNmyBfv370dKSgr69etXnrdARGST8gyEoaGhul97\\\n",
       "e3vDx8cHPj4+GDZsmKNvg4ioVAyERGTRnTt3MGXKFGzcuBEymazU+kuXLsXYsWMxatQoNG3aFGvX\\\n",
       "roWbmxu+/vprAEB2dja++uorLF26FN26dUPbtm3xzTffIC4uDkePHi3v2yEislpF7EGYnZ2te23Y\\\n",
       "sMFBPScish4DIRGZpdVqMWzYMLz55pto1qxZqfVLVtiLiYnRlYnFYsTExODIkSMAHq66p1Kp9Oo0\\\n",
       "btwYtWvX1tUhIqpsFbkP4aMvIqKKxkVliMisjz76CFKpFFOnTrWqfmZmJjQaDQIDA/XKAwMDcenS\\\n",
       "JQBAamoq5HI5fHx8jOqkpqaabbu4uBjFxcW69zk5OVbeBRERERGZwxFCIgIAbNy4ER4eHrrX/v37\\\n",
       "sWLFCqxbt67MU6IcYeHChfD29ta9atWqVdldIqLHWHmOEBIRVSUMhEQEAOjduzdOnz6te8XFxSE9\\\n",
       "PR21a9eGVCqFVCrFrVu38PrrryM8PNxkGzVr1oREIjFaMTQtLQ1BQUEAgKCgICiVSmRlZZmtY8qs\\\n",
       "WbP0nrVJTk4u0/0SEVnCQEhEzoJTRokIAODp6QlPT0/d+3HjxqFXr156dWJjYzFs2DCMGjXKZBty\\\n",
       "uRxt27bF7t270bdvXwAPn0PcvXs3Jk+eDABo27YtZDIZdu/ejf79+wMALl++jKSkJERFRZntn0Kh\\\n",
       "gEKhKMstEhFZzZ59CImIqiMGQiIyyc/PD35+fnplMpkMQUFBaNSoka6se/fueP7553WBb/r06Rgx\\\n",
       "YgQiIyPRvn17LF++HPn5+boQ6e3tjTFjxmD69OmoUaMGvLy8MGXKFERFRaFjx44Vd4NERBYwEBKR\\\n",
       "s2AgJKIyuXbtGjIzM3XvBw0ahIyMDMyZMwepqalo1aoVtm/frrfQzLJlyyAWi9G/f38UFxcjNjYW\\\n",
       "q1evrozuExGZxEBIRM6CgZCIrHbz5k2ryiZPnqwbMTTFxcUFq1atwqpVqxzYOyIix2EgJCJnwUVl\\\n",
       "iIiIiIiInBRHCImIiIgMcISQiJwFAyERERGRAQZCInIWDIREREREBhgIichZMBASERERGWAgJCJn\\\n",
       "wUBIREREZICBkIicBVcZJSIiIiIiclIcISQiIiIywBFCInIWDIREREREBhgIichZMBASERERGWAg\\\n",
       "JCJnwUBIREREZICBkIicBQMhERERkQEGQiJyFlxllIiIiIiIyElxhJCIqiVBECq7C0RUxZXl/xO5\\\n",
       "ublWj/zl5ubafR0iosrGQEhE1VJubi7mzZtX2d0goiosNzcX3t7eNp0TGRmJhIQE1KpVy+brRUZG\\\n",
       "2nwOEVFlEwn8Z3Yiqoa0Wi1SUlLg6enp1M/v5OTkoFatWkhOToaXl1dld6fS8HN4iJ/DQ4IgIDc3\\\n",
       "FyEhIRCLbX86Zvz48YiPj7fpnMjISKxdu9bmaxERVTYGQiKiaiwnJwfe3t7Izs526gDAz+Ehfg5E\\\n",
       "RGQrLipDRERERETkpBgIiYiIiIiInBQDIRFRNaZQKDB37lwoFIrK7kql4ufwED8HIiKyFZ8hJCIi\\\n",
       "IiIiclIcISQiIiIiInJSDIREREREREROioGQiIiIiIjISTEQEhFVISqVCjNnzkRERATc3d0REhKC\\\n",
       "4cOHIyUlpdRzV61ahfDwcLi4uKBDhw44fvy43vGioiJMmjQJfn5+8PDwQP/+/ZGWllZet1Impd2L\\\n",
       "oS1btqBx48ZwcXFBREQE/vrrL73jgiBgzpw5CA4OhqurK2JiYnD16tXyvIUyW7hwIdq1awdPT08E\\\n",
       "BASgb9++uHz5cqnnPY6fBRERlR8GQiKiKqSgoAAnT57Eu+++i5MnT+KXX37B5cuX0bt3b4vnbd68\\\n",
       "GdOnT8fcuXNx8uRJtGzZErGxsUhPT9fVee211/D7779jy5Yt2L9/P1JSUtCvX7/yviWbWXMvj4qL\\\n",
       "i8PgwYMxZswYnDp1Cn379kXfvn1x/vx5XZ1Fixbhk08+wdq1a3Hs2DG4u7sjNjYWRUVFFXVbNtu/\\\n",
       "fz8mTZqEo0ePYteuXVCpVHjmmWeQn59v9pzH9bMgIqJyJBARUZV2/PhxAYBw69Yts3Xat28vTJo0\\\n",
       "Sfdeo9EIISEhwsKFCwVBEISsrCxBJpMJW7Zs0dVJTEwUAAhHjhwpv87bobR7MTRw4EChZ8+eemUd\\\n",
       "OnQQXnnlFUEQBEGr1QpBQUHCxx9/rDuelZUlKBQK4YcffiiHOygf6enpAgBh//79Zus4y2dBRESO\\\n",
       "wxFCIqIqLjs7GyKRCD4+PiaPK5VKJCQkICYmRlcmFosRExODI0eOAAASEhKgUqn06jRu3Bi1a9fW\\\n",
       "1akKrLkXQ0eOHNGrDwCxsbG6+jdu3EBqaqpeHW9vb3To0KFK3XtpsrOzAQA1atQwW8dZPgsiInIc\\\n",
       "BkIioiqsqKgIM2fOxODBg+Hl5WWyTmZmJjQaDQIDA/XKAwMDkZqaCgBITU2FXC43CpWP1qkKrLkX\\\n",
       "Q6mpqaXee0mZtW1WNVqtFtOmTcOTTz6J5s2bm63nDJ8FERE5FgMhEVEl2rhxIzw8PHSvgwcP6o6p\\\n",
       "VCoMHDgQgiBgzZo1ldhLqmyTJk3C+fPnsWnTpsruChERPWakld0BIiJn1rt3b3To0EH3PjQ0FMD/\\\n",
       "h8Fbt25hz549ZkcHAaBmzZqQSCRGK4ampaUhKCgIABAUFASlUomsrCy9UcJH61QF1tyLoaCgoFLv\\\n",
       "vaQsODhYr06rVq0c2PvyMXnyZPzxxx84cOAAwsLCLNZ93D8LIiJyPI4QEhFVIk9PT9SvX1/3cnV1\\\n",
       "1YXBq1ev4p9//oGfn5/FNuRyOdq2bYvdu3fryrRaLXbv3o2oqCgAQNu2bSGTyfTqXL58GUlJSbo6\\\n",
       "VYE192IoKipKrz4A7Nq1S1e/bt26CAoK0quTk5ODY8eOVal7NyQIAiZPnoxff/0Ve/bsQd26dUs9\\\n",
       "53H9LIiIqBxV9qo2RET0/5RKpdC7d28hLCxMOH36tHD37l3dq7i4WFevW7duwqeffqp7v2nTJkGh\\\n",
       "UAjr1q0TLl68KIwbN07w8fERUlNTdXXGjx8v1K5dW9izZ48QHx8vREVFCVFRURV6f9Yo7V6GDRsm\\\n",
       "vPXWW7r6hw8fFqRSqbB48WIhMTFRmDt3riCTyYRz587p6nz44YeCj4+PsG3bNuHs2bNCnz59hLp1\\\n",
       "6wqFhYUVfn/WmjBhguDt7S3s27dP7/dBQUGBro6zfBZERFR+GAiJiKqQGzduCABMvvbu3aurV6dO\\\n",
       "HWHu3Ll653766adC7dq1BblcLrRv3144evSo3vHCwkJh4sSJgq+vr+Dm5iY8//zzwt27dyvgrmxn\\\n",
       "6V6io6OFESNG6NX/8ccfhYYNGwpyuVxo1qyZ8Oeff+od12q1wrvvvisEBgYKCoVC6N69u3D58uWK\\\n",
       "uBW7mft98M033+jqOMtnQURE5UckCIJQOWOTREREREREVJn4DCEREREREZGTYiAkIiIiIiJyUgyE\\\n",
       "REREREREToqBkIiIiIiIyEkxEBIRERERETkpBkIiIiIiIiInxUBIRERERETkpBgIiYiIiIiInBQD\\\n",
       "IRERVQtfffUVnnnmmXK/zvbt29GqVStotdpyvxYREVFlYyAkIqIqr6ioCO+++y7mzp1b7td69tln\\\n",
       "IZPJsHHjxnK/FhERUWVjICQioirvp59+gpeXF5588skKud7IkSPxySefVMi1iIiIKhMDIRERVZiM\\\n",
       "jAwEBQXhgw8+0JXFxcVBLpdj9+7dZs/btGkTevXqpVfWpUsXTJs2Ta+sb9++GDlypO59eHg4FixY\\\n",
       "gOHDh8PDwwN16tTBb7/9hoyMDPTp0wceHh5o0aIF4uPj9drp1asX4uPjce3aNftvloiIqBpgICQi\\\n",
       "ogrj7++Pr7/+Gu+99x7i4+ORm5uLYcOGYfLkyejevbvZ8w4dOoTIyEi7rrls2TI8+eSTOHXqFHr2\\\n",
       "7Ilhw4Zh+PDhGDp0KE6ePIl69eph+PDhEARBd07t2rURGBiIgwcP2nVNIiKi6oKBkIiIKlSPHj0w\\\n",
       "duxYDBkyBOPHj4e7uzsWLlxotn5WVhays7MREhJi9/VeeeUVNGjQAHPmzEFOTg7atWuHAQMGoGHD\\\n",
       "hpg5cyYSExORlpamd15ISAhu3bpl1zWJiIiqCwZCIiKqcIsXL4ZarcaWLVuwceNGKBQKs3ULCwsB\\\n",
       "AC4uLnZdq0WLFrpfBwYGAgAiIiKMytLT0/XOc3V1RUFBgV3XJCIiqi4YCImIqMJdu3YNKSkp0Gq1\\\n",
       "uHnzpsW6fn5+EIlEePDgQantajQaozKZTKb7tUgkMltmuM3E/fv34e/vX+o1iYiIqjMGQiIiqlBK\\\n",
       "pRJDhw7FoEGD8P777+Pll182Gp17lFwuR9OmTXHx4kWjY4bTPK9fv+6QPhYVFeHatWto3bq1Q9oj\\\n",
       "IiKqqhgIiYioQr3zzjvIzs7GJ598gpkzZ6Jhw4YYPXq0xXNiY2Nx6NAho/Jt27bhl19+wbVr1/C/\\\n",
       "//0PFy9exK1bt3Dnzp0y9fHo0aNQKBSIiooqUztERERVHQMhERFVmH379mH58uVYv349vLy8IBaL\\\n",
       "sX79ehw8eBBr1qwxe96YMWPw119/ITs7W6+8Z8+eWLRoEZo2bYoDBw5g9erVOH78ONavX1+mfv7w\\\n",
       "ww8YMmQI3NzcytQOERFRVScSHl1nm4iIqIoaMGAA2rRpg1mzZgF4uA9hq1atsHz5codeJzMzE40a\\\n",
       "NUJ8fDzq1q3r0LaJiIiqGo4QEhFRtfDxxx/Dw8Oj3K9z8+ZNrF69mmGQiIicAkcIiYioWiqvEUIi\\\n",
       "IiJnwkBIRERERETkpDhllIiIiIiIyEkxEBIRERERETkpBkIiIiIiIiInxUBIRERERETkpBgIiYiI\\\n",
       "iIiInBQDIRERERERkZNiICQiIiIiInJSDIREREREREROioGQiIiIiIjISTEQEhEREREROSkGQiIi\\\n",
       "IiIiIifFQEhEREREROSkGAiJiIiIiIicFAMhERERERGRk/o/Uw6RkySdUd8AAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[25] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAfg9JREFUeJzt3Xd0VEXDBvDnbk1PSAgpQCDSIUDoAlKESFQQEERepAiiiIKI\\\n",
       "iAVpggJ2RGmiUkSkWUAEUXqvCSChCUgJCSEESM/2+/3ByX5sze5mU/f5nbNHdu7cuXMXkH0yc2cE\\\n",
       "URRFEBERERERkceRlHUHiIiIiIiIqGwwEBIREREREXkoBkIiIiIiIiIPxUBIRERERETkoRgIiYiI\\\n",
       "iIiIPBQDIRERERERkYdiICQiIiIiIvJQDIREREREREQeioGQiIiIiIjIQzEQEhEREREReSgGQiIi\\\n",
       "IiIiIg/FQEhEREREROShGAiJiIiIiIg8FAMhERERERGRh2IgJCIil+zevRuCIGD37t1l3RVys6NH\\\n",
       "j0KhUODatWulfu07d+7A19cXW7ZsKfVrExF5IgZCIiKya+HChVi+fHlZd8MlP/30E7788suy7gYA\\\n",
       "wGAw4JNPPkF0dDS8vLzQrFkzrF692uHzMzMzMWrUKISGhsLX1xePPvooEhMTLeqtXbsWQ4YMQb16\\\n",
       "9SAIArp27ep0XydPnoxBgwahVq1aTp9bXCEhIXjxxRcxderUUr82EZEnEkRRFMu6E0REVH7FxMSg\\\n",
       "atWqFiOBBoMBGo0GCoUCEkn5/Plir169kJSUhKtXr5Z1VzBp0iR89NFHeOmll9CmTRts3LgRmzdv\\\n",
       "xurVq/G///3P7rkGgwGdOnXCqVOn8NZbb6Fq1apYuHAhkpOTkZCQgHr16hnrdu3aFQkJCWjTpg1O\\\n",
       "njyJZs2aOTWKe/LkSbRo0QIHDx5E+/btXb3dYjl37hwaN26MHTt2oFu3bmXSByIiT8FASETkgLy8\\\n",
       "PPj6+pZ1N8qErUBYEZSXQJiSkoLo6GiMGjUK8+fPBwCIooguXbrgypUruHr1KqRSqc3z161bh4ED\\\n",
       "B2L9+vV45plnAAC3b99G/fr18cQTT+Cnn34y1k1OTkb16tUhkUhc+r17/fXXsWHDBly9ehWCILh2\\\n",
       "w27QtGlTtGjRAj/88EOZ9YGIyBOUzx/pEhGVoJSUFIwcORKRkZFQKpWIjo7GK6+8Ao1GAwBYvnw5\\\n",
       "BEHAnj178Oqrr6JatWqoUaOG8fyFCxeiSZMmUCqViIyMxJgxY5CZmWlyjYsXL6J///4IDw+Hl5cX\\\n",
       "atSogf/973/Iysoy1tm2bRseeeQRBAUFwc/PDw0aNMB7771XZP8dOU+tVmP69OmoW7culEolatas\\\n",
       "ibfffhtqtdqivR9//BFt27aFj48PqlSpgs6dO+Pvv/8GANSuXRtnzpzBnj17IAiCyRREW88Qrl+/\\\n",
       "Hq1atYK3tzeqVq2KIUOGICUlxaTO8OHD4efnh5SUFPTt2xd+fn4IDQ3FxIkTodfri/wMNm7ciJ49\\\n",
       "exp/D+vUqYMPPvjA5NyuXbti8+bNuHbtmrHvtWvXttnm8OHDjfXMX++//36RfSqqv1qtFq+++qqx\\\n",
       "TBAEvPLKK7hx4wYOHTpk9/yff/4ZYWFh6Nevn7EsNDQUzz77LDZu3Gjy+1qzZs1ijdhu2LAB3bp1\\\n",
       "swiDtj6H2rVrY/jw4cb3hX9/9u/fj3HjxiE0NBRBQUF4+eWXodFokJmZiWHDhqFKlSqoUqUK3n77\\\n",
       "bVj72fRjjz2GTZs2WT1GRETuIyvrDhARlabU1FS0bdvW+DxWw4YNkZKSgp9//hn5+flQKBTGuq++\\\n",
       "+ipCQ0Mxbdo05OXlAQDef/99zJgxA3FxcXjllVdw4cIFLFq0CMeOHcOBAwcgl8uh0WgQHx8PtVqN\\\n",
       "1157DeHh4UhJScEff/yBzMxMBAYG4syZM+jVqxeaNWuGmTNnQqlU4tKlSzhw4IDd/jtynsFgQO/e\\\n",
       "vbF//36MGjUKjRo1wunTpzF37lz8+++/2LBhg7HujBkz8P7776NDhw6YOXMmFAoFjhw5gp07d6JH\\\n",
       "jx748ssv8dprr8HPzw+TJ08GAISFhdns3/LlyzFixAi0adMGc+bMwa1btzBv3jwcOHAAJ06cQFBQ\\\n",
       "kLGuXq9HfHw82rVrh88++wzbt2/H559/jjp16uCVV16x+zksX74cfn5+mDBhAvz8/LBz505MmzYN\\\n",
       "2dnZ+PTTTwHcfw4uKysLN27cwNy5cwEAfn5+Ntt8+eWXERcXZ1K2detWrFq1CtWqVTOWZWRk2O1b\\\n",
       "IX9/fyiVSgDAiRMn4Ovri0aNGpnUadu2rfH4I488YrOtEydOoGXLlhZBr23btliyZAn+/fdfNG3a\\\n",
       "1KF+2ZOSkoLr16+jZcuWxW6r8M/+jBkzcPjwYSxZsgRBQUE4ePAgoqKiMHv2bGzZsgWffvopYmJi\\\n",
       "MGzYMJPzW7Vqhblz5+LMmTOIiYkpdn+IiMgGkYjIgwwbNkyUSCTisWPHLI4ZDAZRFEVx2bJlIgDx\\\n",
       "kUceEXU6nfF4enq6qFAoxB49eoh6vd5YPn/+fBGAuHTpUlEURfHEiRMiAHH9+vU2+zF37lwRgHj7\\\n",
       "9m2n+u/IeStXrhQlEom4b98+k/LFixeLAMQDBw6IoiiKFy9eFCUSifj000+b3I8o/v9nIYqi2KRJ\\\n",
       "E7FLly4W19m1a5cIQNy1a5coiqKo0WjEatWqiTExMWJBQYGx3h9//CECEKdNm2Yse/7550UA4syZ\\\n",
       "M03abNGihdiqVSv7H4Ioivn5+RZlL7/8sujj4yOqVCpjWc+ePcVatWoV2Z41Fy9eFAMDA8XHHnvM\\\n",
       "5M8BAIdey5YtM+nHQw89ZHGNvLw8EYD47rvv2u2Lr6+v+MILL1iUb968WQQgbt261ep5tn7vbNm+\\\n",
       "fbsIQNy0aZPFMQDi9OnTLcpr1aolPv/888b3hX9/4uPjTf4ctW/fXhQEQRw9erSxTKfTiTVq1LDa\\\n",
       "x4MHD4oAxLVr1zrcfyIich6njBKRxzAYDNiwYQOeeuoptG7d2uK4+RS5l156yeS5ru3bt0Oj0WD8\\\n",
       "+PEmIzUvvfQSAgICsHnzZgBAYGAgAOCvv/5Cfn6+1b4UjpRt3LgRBoPB4Xtw5Lz169ejUaNGaNiw\\\n",
       "ITIyMoyvwsU5du3aBeD+1ECDwYBp06ZZjDy58uzY8ePHkZ6ejldffRVeXl7G8p49e6Jhw4bGz+dB\\\n",
       "o0ePNnnfqVMn/Pfff0Vey9vb2/jrnJwcZGRkoFOnTsjPz8f58+ed7ru5vLw8PP3006hSpQpWr15t\\\n",
       "8udg27ZtDr3i4+ON5xQUFBhHCx9U+DkVFBTY7U9xz3fUnTt3AABVqlQpdlsjR440+XPUrl07iKKI\\\n",
       "kSNHGsukUilat25t9fe8sA+OjsgSEZFrOGWUiDzG7du3kZ2d7fD0s+joaJP3hXuyNWjQwKRcoVDg\\\n",
       "oYceMh6Pjo7GhAkT8MUXX2DVqlXo1KkTevfujSFDhhjD4sCBA/Hdd9/hxRdfxLvvvovu3bujX79+\\\n",
       "eOaZZ+w+/+XIeRcvXsS5c+cQGhpqtY309HQAwOXLlyGRSNC4cWOHPo+i2Pp8AKBhw4bYv3+/SZmX\\\n",
       "l5dFH6tUqYJ79+4Vea0zZ85gypQp2LlzJ7Kzs02OPficpqteeuklXL58GQcPHkRISIjJMfNppY7w\\\n",
       "9va2+vymSqUyHi/J850luuG5vaioKJP3hX/2a9asaVFu7fe8sA9lubANEZEnYCAkIrKhOF+yP//8\\\n",
       "cwwfPhwbN27E33//jXHjxmHOnDk4fPgwatSoAW9vb+zduxe7du3C5s2bsXXrVqxduxbdunXD33//\\\n",
       "bXPFSUfOMxgMaNq0Kb744gurbZh/IS8r9lbVtCczMxNdunRBQEAAZs6ciTp16sDLywuJiYl45513\\\n",
       "nBpxtWbevHlYvXo1fvzxR8TGxlocT0tLc6idwMBA45+hiIgI7Nq1C6IomgScmzdvAgAiIyPtthUR\\\n",
       "EWGs+yBHz3dUYfh1JJQXshUebf3+Wiu31kZhH6pWrepwX4iIyHmcMkpEHiM0NBQBAQFISkpy6fzC\\\n",
       "TbovXLhgUq7RaHDlyhWLTbybNm2KKVOmYO/evdi3bx9SUlKwePFi43GJRILu3bvjiy++wNmzZzFr\\\n",
       "1izs3LnTOKXTlqLOq1OnDu7evYvu3bsjLi7O4lU4glenTh0YDAacPXvW7vUcHaGx9fkUlrlrk/Pd\\\n",
       "u3fjzp07WL58OV5//XX06tULcXFxVqc5Oju6tG/fPkycOBHjx4/H4MGDrdaJiIhw6LV27VrjObGx\\\n",
       "scjPz8e5c+dM2jpy5IjxuD2xsbFITEy0CLtHjhyBj48P6tev79R92tKwYUMAwJUrV6wez8nJsSgr\\\n",
       "HHF2t8I+mC/EQ0RE7sVASEQeQyKRoG/fvti0aROOHz9ucbyoaXJxcXFQKBT46quvTOp+//33yMrK\\\n",
       "Qs+ePQEA2dnZ0Ol0Juc2bdoUEonEOO3v7t27Fu0XhgJrUwMLOXLes88+i5SUFHz77bcWdQsKCowr\\\n",
       "pvbt2xcSiQQzZ860CBoP3p+vr6/FthrWtG7dGtWqVcPixYtN7uHPP//EuXPnjJ9PcRWOMD3YR41G\\\n",
       "g4ULF1rU9fX1dXgK6c2bN/Hss8/ikUceMa5Uao0rzxD26dMHcrncpI+iKGLx4sWoXr06OnToYNKP\\\n",
       "8+fPQ6vVGsueeeYZ3Lp1C7/++quxLCMjA+vXr8dTTz1l9flCV1SvXh01a9a0+vcDgMUWI3/++SdU\\\n",
       "KlWJbA2RkJCAwMBANGnSxO1tExHR/+OUUSLyKLNnz8bff/+NLl26GLdkuHnzJtavX4/9+/ebbItg\\\n",
       "LjQ0FJMmTcKMGTPw+OOPo3fv3rhw4QIWLlyINm3aYMiQIQCAnTt3YuzYsRgwYADq168PnU6HlStX\\\n",
       "QiqVon///gCAmTNnYu/evejZsydq1aqF9PR0LFy4EDVq1LC7/YAj5w0dOhTr1q3D6NGjsWvXLnTs\\\n",
       "2BF6vR7nz5/HunXr8Ndff6F169aoW7cuJk+ejA8++ACdOnVCv379oFQqcezYMURGRmLOnDkA7i//\\\n",
       "v2jRInz44YeoW7cuqlWrZlyg5kFyuRwff/wxRowYgS5dumDQoEHGbSdq166NN954w9XfNhMdOnRA\\\n",
       "lSpV8Pzzz2PcuHEQBAErV660GkpatWqFtWvXYsKECWjTpg38/Pzw1FNPWW133LhxuH37Nt5++22s\\\n",
       "WbPG5FizZs3QrFkzAK49Q1ijRg2MHz8en376KbRaLdq0aYMNGzZg3759WLVqlck0ykmTJmHFihW4\\\n",
       "cuWKcd/EZ555Bg8//DBGjBiBs2fPomrVqli4cCH0ej1mzJhhcq29e/di7969AO4/N5uXl4cPP/wQ\\\n",
       "ANC5c2d07tzZbl/79OmD3377zWJ6KwCcO3cOTz75JHr37o3U1FTMmzcPgYGBOHjwIFavXo1BgwY5\\\n",
       "/dnYsm3bNjz11FN8hpCIqKSVxdKmRERl6dq1a+KwYcPE0NBQUalUig899JA4ZswYUa1Wi6L4/8vm\\\n",
       "W9uaQhTvbzPRsGFDUS6Xi2FhYeIrr7wi3rt3z3j8v//+E1944QWxTp06opeXlxgcHCw++uij4vbt\\\n",
       "2411duzYIfbp00eMjIwUFQqFGBkZKQ4aNEj8999/7fbd0fM0Go348ccfi02aNBGVSqVYpUoVsVWr\\\n",
       "VuKMGTPErKwsk7pLly4VW7RoYazXpUsXcdu2bcbjaWlpYs+ePUV/f38RgHGLAPNtJwqtXbvW2F5w\\\n",
       "cLA4ePBg8caNGyZ1nn/+edHX19fi/qZPny468k/TgQMHxIcfflj09vYWIyMjxbffflv866+/LPqT\\\n",
       "m5srPvfcc2JQUJAIwO4WFF26dLG5hYS17RacpdfrxdmzZ4u1atUSFQqF2KRJE/HHH3+0qFe4JceV\\\n",
       "K1dMyu/evSuOHDlSDAkJEX18fMQuXbpY/TNa+Bm6eh+JiYkiAIttSwCIEyZMEAcMGCB6e3uLERER\\\n",
       "4vz588XFixeLPj4+4osvviiKou2/P4X9Mt8yxdqfhXPnzokATP7OEBFRyRBEsQTmeRAREVGF1b17\\\n",
       "d0RGRmLlypXGMkEQMH36dLz//vslfv3x48dj7969SEhI4AghEVEJ4zOEREREZGL27NlYu3atcSuR\\\n",
       "0nTnzh189913+PDDDxkGiYhKAZ8hJCIiIhPt2rWDRqMpk2uHhIQgNze3TK5NROSJOEJIRERERETk\\\n",
       "oThCSEREREXikgNERJUTRwiJiIiIiIg8FAMhERERERGRh+KUUSKqkAwGA1JTU+Hv78+VCInIhCiK\\\n",
       "yMnJQWRkJCQS53/2/eKLLyIhIcGpc1q1aoXvvvvO6WsREZU1BkIiqpBSU1P55YuIbJoxYwaSk5NR\\\n",
       "o0YNp8578cUX8f333zt9vZMnTwIA/79ERBUOAyERVUj+/v4AwNFBIrKp8P8TznB2ZNDVc639v6tw\\\n",
       "4Z7PP/8cEydOtDju7e2N/Px8l/tHRGQNAyERVUgMgkRUlOL+f8LR8929AuuyZcuslhcUFLj1OkRE\\\n",
       "AAMhERERkQVBEJwKlM6Gwgfrm18nKSnJan8AQKFQQKPROHUtIiJ7GAiJiIiIzLgSCJOSktCiRQtj\\\n",
       "WefOnTFv3jy39qtJkyZubY+IiIGQiIiIyIyzgRAAdDqdcXEZ4P5CM+4IhC+++KLx1ydOnCh2e0RE\\\n",
       "D2IgJCIiIjLjSiCUyWSIiYkxvu/cuXOx+/H5558bVz2NjY0tdntEROYYCImIiIjMuBIIY2Ji3DqC\\\n",
       "9+BqoxERERwdJKIS4fxurURERERUoh4Mg1WrVkVqamoZ94iIKisGQiIiIiIzhSOEjr6c1blzZ4tz\\\n",
       "BUGAQqGw2IdQrVYjICAAAQEBmDp1qlvuj4ioEAMhERERkZmSDoT79u2zWq7VavHOO++YlOXk5Bhf\\\n",
       "H374oUv3Q0RkC58hJCIiIjLjatBzlLs3sycichUDIREREZGZkg6ERETlBQMhERERkRkGQiLyFHyG\\\n",
       "kIiIiIiIyENxhJCIiIjIDEcIichTcISQiBz20UcfQRAEjB8/3m699evXo2HDhvDy8kLTpk2xZcsW\\\n",
       "k+OiKGLatGmIiIiAt7c34uLicPHixRLsORGRc0p6lVEiovKCgZCIHHLs2DF88803aNasmd16Bw8e\\\n",
       "xKBBgzBy5EicOHECffv2Rd++fZGUlGSs88knn+Crr77C4sWLceTIEfj6+iI+Ph4qlaqkb4OIyCEM\\\n",
       "hETkKRgIiahIubm5GDx4ML799ltUqVLFbt158+bh8ccfx1tvvYVGjRrhgw8+QMuWLTF//nwA90cH\\\n",
       "v/zyS0yZMgV9+vRBs2bN8MMPPyA1NRUbNmwohbshIioaAyEReQoGQiIq0pgxY9CzZ0/ExcUVWffQ\\\n",
       "oUMW9eLj43Ho0CEAwJUrV5CWlmZSJzAwEO3atTPWsUatViM7O9vkRURUUhgIichTMBASkV1r1qxB\\\n",
       "YmIi5syZ41D9tLQ0hIWFmZSFhYUhLS3NeLywzFYda+bMmYPAwEDjq2bNms7cBhERERFZwUBIRDYl\\\n",
       "Jyfj9ddfx6pVq+Dl5VWmfZk0aRKysrKMr+Tk5DLtDxFVbhwhJCJPwW0niMimhIQEpKeno2XLlsYy\\\n",
       "vV6PvXv3Yv78+VCr1ZBKpSbnhIeH49atWyZlt27dQnh4uPF4YVlERIRJndjYWJt9USqVUCqVxb0l\\\n",
       "IiKHMOgRkafgCCER2dS9e3ecPn0aJ0+eNL5at26NwYMH4+TJkxZhEADat2+PHTt2mJRt27YN7du3\\\n",
       "BwBER0cjPDzcpE52djaOHDlirENEVB5wdJCIPAFHCInIJn9/f8TExJiU+fr6IiQkxFg+bNgwVK9e\\\n",
       "3fiM4euvv44uXbrg888/R8+ePbFmzRocP34cS5YsAQDjPoYffvgh6tWrh+joaEydOhWRkZHo27dv\\\n",
       "qd4fEZEtzoQ9hkIiqsgYCImoWK5fvw6J5P8nG3To0AE//fQTpkyZgvfeew/16tXDhg0bTILl22+/\\\n",
       "jby8PIwaNQqZmZl45JFHsHXr1jJ/TpGIqBADIRF5CkEURbGsO0FE5Kzs7Gx88cUX/CJGRFa9//77\\\n",
       "yMrKQkBAgFPntWjRAidPnkTVqlVNfthlj8FgQEZGBmJjY3HixAlXuktEVGb4DCEREREREZGH4pRR\\\n",
       "IiIiIjOcMkpEnoKBkIiIiMgMAyEReQoGQiKq9KZPn17WXSAiN5oxY0aJX4OBkIg8BQMhERERkRkG\\\n",
       "QiLyFAyERERERGYYCInIU3CVUSIiIiIiIg/FEUIiIiIiMxwhJCJPwUBIREREZIaBkIg8BQMhERER\\\n",
       "kRkGQiLyFAyERERERGYYCInIUzAQEhEREZlhICQiT8FVRomIiIiIiDwURwiJiIiIzHCEkIg8BQMh\\\n",
       "ERERkRkGQiLyFAyERERERGYYCInIUzAQEhEREZlhICQiT8FASERERGQFgx4ReQKuMkpEREREROSh\\\n",
       "OEJIREREZIZTRonIUzAQEhEREZlhICQiT8FASERERGSGgZCIPAUDIREREZEZBkIi8hQMhERERERm\\\n",
       "GAiJyFMwEBIRERGZYSAkIk/BbSeIiIiIiIg8FEcIiYiIiMxwhJCIPAUDIREREZEZBkIi8hScMkpE\\\n",
       "RERkpjAQOvpyR/sPSklJcct1iIiKwkBIREREZKakA2FRatSoYbX8xRdfdPu1iMizMRASERERmSnp\\\n",
       "QCiKovFlLiUlxaJekyZNAADff/+96zdFRGQFAyERERFRORIVFWVRlpSUVAY9ISJPwEVliIiIiMy4\\\n",
       "sqhMUlISWrRoYSzv3Lkz5s2b5/S1DQYDAMDX19fpc4mInMVASERERGTGlUCo0+lw8uRJY/nJkydd\\\n",
       "CoRERKWJgZCIiIjIjCuBUCaTISYmxljeuXNnl64tkUhgMBiQl5fn0vlERM5gICQiIiIy40ogjImJ\\\n",
       "wYkTJ4p97evXr1usMvrgVFQiIndiICQiIiIyU9Ib03fu3Bn79u2zaEcul0Oj0dhse+TIkU5fi4jI\\\n",
       "Hq4ySkRERFTKzMNgIa1WCwC4ceOG1ePfffddifWJiDwTRwiJiIiIzJT0CKG1/QcfVL169SLrEBG5\\\n",
       "AwMhERERkRWuBD0iooqGgZCIiIjITEmPEBIRlRcMhERERERmGAiJyFMwEBIRERGZYSAkIk/BQEhE\\\n",
       "RERkhoGQiDwFt50gIiIiIiLyUBwhJCIiIjLDEUIi8hQMhERERERmGAiJyFMwEBIRERGZYSAkIk/B\\\n",
       "QEhERERkhoGQiDwFAyERERGRGQZCIvIUXGWUiIiIiIjIQ3GEkIioHLM28iAIAgwGQxn0pmzcvHkT\\\n",
       "kZGRLp3ryGfVqFEjnD9/3qX23UEikUAQBOj1+lK5niiKpXKdio4jhETkKRgIiYgqmJCQkLLuQqm6\\\n",
       "cuWKy+f6+fkVWefy5csut+8OnhTuKxIGQiLyFAyEREQVzNWrV8u6C6UqISHB5XMTExPtHtdoNNBq\\\n",
       "tS63T5UXAyEReQo+Q0hEVI4VfikVBAGBgYG4e/cufH19y7pbpapBgwYundeuXTvUrVvXbp0mTZq4\\\n",
       "1DZVfg/+3XPkRURUUTEQEpFNc+bMQZs2beDv749q1aqhb9++uHDhQpHnrV+/Hg0bNoSXlxeaNm2K\\\n",
       "LVu2mBwXRRHTpk1DREQEvL29ERcXh4sXL5bUbVRoBoPB+MrMzESVKlXKukulrnv37lbLBUHAhQsX\\\n",
       "IIqi8ZWfn49Lly5BrVbj8OHDdtu9du0aLl265FKfOnXqhOPHj6Nfv34unU/lHwMhEXkKBkIismnP\\\n",
       "nj0YM2YMDh8+jG3btkGr1aJHjx7Iy8uzec7BgwcxaNAgjBw5EidOnEDfvn3Rt29fJCUlGet88skn\\\n",
       "+Oqrr7B48WIcOXIEvr6+iI+Ph0qlKo3bogpGKpVi0aJFJmXBwcEwGAyoX7++Sbm3tzfq1KkDhUJh\\\n",
       "t83Lly+jdu3aLvUnJSUFe/fuRatWrfDLL79Ar9dDIik//5wKgoAnnngCAwYMYFAhIqIi8RlCIrJp\\\n",
       "69atJu+XL1+OatWqISEhAZ07d7Z6zrx58/D444/jrbfeAgB88MEH2LZtG+bPn4/FixdDFEV8+eWX\\\n",
       "mDJlCvr06QMA+OGHHxAWFoYNGzbgf//7X8neFJUJURSLFU5Gjx6NUaNGIS0tDdWqVYNM5to/X3q9\\\n",
       "HrVr18aNGzdcOv/RRx+1WPFUIpFArVZDLpe71KY7dejQAQcOHDC+F0URXl5e0Gg0ZdirionPEBKR\\\n",
       "pyg/P9IkonIvKysLwP3RGVsOHTqEuLg4k7L4+HgcOnQIwP0VI9PS0kzqBAYGol27dsY61qjVamRn\\\n",
       "Z5u8qPx76623IAgCJBIJ/P39i7XlgUQiQWRkpMthMDY2FjKZzOUwCADbt2+3Wi6TyTBo0CCX23WH\\\n",
       "efPmmYRB4H5Qyc/PL6MeVWycMkpEnoKBkIgcYjAYMH78eHTs2BExMTE266WlpSEsLMykLCwsDGlp\\\n",
       "acbjhWW26lgzZ84cBAYGGl81a9Z09VaolPTt2xefffaZ8X1ubi66dOlSJn0JDQ3FqVOnitWGt7e3\\\n",
       "3amhP/74Y7HaL45jx45h3LhxVo9JpVKcPn26lHtU8TEQEpGnYCAkIoeMGTMGSUlJWLNmTZlcf9Kk\\\n",
       "ScjKyjK+kpOTy6QflZXBYHDrxugqlQobN260KLc3CgwAWq0W9+7dc1s/gPvTJu/cuVPsdoraD1Ei\\\n",
       "kZTooj9SqRQKhQIymcz46969e0Ov16N169Z2z42JicHFixehVCpLrH+VEcMgEXkCBkIiKtLYsWPx\\\n",
       "xx9/YNeuXahRo4bduuHh4bh165ZJ2a1btxAeHm48Xlhmq441SqUSAQEBJi9yj//++w+RkZEICwvD\\\n",
       "zZs33dJmVFSU1XJ7geT999+HQqFAcHCwQ8FFFEXcu3evyGmogiCgYcOGRbZni0QiwbZt2yxGta1J\\\n",
       "TU11+TrWrvvhhx9Cp9NBFEXodDqo1WpotVrjrzdu3OjwgjZ169blwk1O4AghEXkKBkIiskkURYwd\\\n",
       "Oxa//fYbdu7ciejo6CLPad++PXbs2GFStm3bNrRv3x4AEB0djfDwcJM62dnZOHLkiLEOla5jx44h\\\n",
       "JycHKpXK7gqyjtLr9bh9+7bVYz/99JPVclEUMWPGDON7jUZjdYSxkFqthlQqRXBwMORyeZGjm2fP\\\n",
       "nkVKSgo+/vhj/PTTT7h8+TKys7ORl5eH7Oxs3Lt3D3l5ecbw9eBLr9dbPBdri5eXF27cuOF0QBAE\\\n",
       "AcHBwRg8eDASEhKg1Wqh1+sxefJkSKVSp9oiIiJyBlcZJSKbxowZg59++gkbN26Ev7+/8Rm/wMBA\\\n",
       "eHt7AwCGDRuG6tWrY86cOQCA119/HV26dMHnn3+Onj17Ys2aNTh+/DiWLFkC4P4X3/Hjx+PDDz9E\\\n",
       "vXr1EB0djalTpyIyMhJ9+/Ytk/v0dAMHDsQTTzwBiUQCPz+/IutfvXoV9evXh06ng5+fHw4ePGh8\\\n",
       "rtRgMNjdzqF3795Wy61NE122bJlxJVpzPj4+xpFBvV6Phg0b4vz583bDU2RkJN5++22bx92levXq\\\n",
       "MBgMOH36NNq1a4eCggKbdWUyGa5fv46IiIgS7xc5h6uMEpGn4AghEdm0aNEiZGVloWvXroiIiDC+\\\n",
       "1q5da6xz/fp1k2mGHTp0wE8//YQlS5agefPm+Pnnn7FhwwaThWjefvttvPbaaxg1ahTatGmD3Nxc\\\n",
       "bN26FV5eXqV6f/T/AgICHAqDoijioYceglarhSiKyMnJQdOmTSEIAmQymd1VPO2FNWvXnjRpktW6\\\n",
       "f/75JwwGg0nZpUuX0KNHjyL7X5qaNm2K/Px8bNu2zerxdu3aQavVMgyWU5wySkSegiOERGSTI1sE\\\n",
       "7N6926JswIABGDBggM1zBEHAzJkzMXPmzOJ0j8rAvHnzbP65KGrapl6vh8FgsPrMm0KhQEhIiHHx\\\n",
       "F6VSiXbt2lltx9ZI8s6dO5Gfnw8fHx+7/ShtcXFxuHfvHsLDw6FWqwEAgwYNsjl9tqRVhvAyadIk\\\n",
       "KBSKEr0GRwiJyFNwhJCIiBz21ltvFet8e3tYZmRkIDExEQcOHLC7+IlWq7V5zNfXFx999BF0Ol2x\\\n",
       "+uluQUFBKCgowLlz53Dr1q0yC4PkOI4QEpGnYCAkIiKHZGZmFjtoZWVlQSKR2GynRYsW6NChg902\\\n",
       "5HK53eOTJk2CXC6HIAgICQkpN+GwcLXTatWqOXyOVqu1G4Cp5DAQEpGnYCAkIiKHOBNk7BFFEYGB\\\n",
       "gS6fn5KS4nDdu3fvFutaZSkmJgYKhQIKhcLkGVwqHQyEROQpGAiJiKhIH3/8sVtHquytvFmUqlWr\\\n",
       "QqvVon79+g7Vz8/Pd/laD7aRkZFR7HYc9d9//+HMmTPG92fOnMHLL79catcnIiLPwUBIRERFevfd\\\n",
       "d93aXnFHvGQyGS5cuABRFIvsW3FHb6pVqwZfX1+EhoZCKpVCo9EUqz1HjBs3zqJsyZIlyMnJsVo/\\\n",
       "NzfXuGANuQdHCInIUzAQEhGRXe4OQLVq1cI///zjtvbmzJkDlUplc4/Dl156yeW2t2/fjtu3bxvf\\\n",
       "GwwGh7bnKK7OnTtbLQ8ICMCJEycgiiJ0Oh1eeeUVSCQS+Pv7w8vLy7gfKBUfAyEReQoGQiIisquo\\\n",
       "RVzMyWQyzJs3D1euXMH+/fsxevRoPPbYY/j++++h1Wpx9epVt/dRqVRi48aNuHDhgsmX85o1a+Kb\\\n",
       "b75xud0vv/zSokyr1eLChQtW66enp8PLywtSqRRjxoxx+boTJ060eaxly5aQSCSQy+VYvHixyTYg\\\n",
       "U6dOdfmaZIqBkIg8BQMhERHZJQgCFi1a5FDd2bNnQ6vVYty4cahduzY6duyIRYsW4e+//8YLL7wA\\\n",
       "maxkt7+tX78+DAYD1Go1tFotrl+/Xqz2bD2317hxY4v9GL/++muEhYVBrVbDYDBg4cKFOHr0qNXz\\\n",
       "RVFEx44d4evriy+++MLiuEQiwcaNG53ur1Qqdfocso6BkIg8BQMhEREVafTo0SgoKECTJk2sfvkN\\\n",
       "DAyEWq3GpEmTyqB3lhQKhVvCZ69evayWGwwGeHl54cKFC0hOTkZoaKjV5/5sTf308/PDwYMHkZ+f\\\n",
       "jzfffBPdu3e3qNO7d29MmTLFqf6ePXvWqfpkGwMhEXkKBkIiInKIl5cXkpKSYDAYoNfrkZmZiYyM\\\n",
       "DOOvFQpFWXfR7QRBwIIFC6we02g0aNiwIaKiomyuQGrt+UuDwWCx8unOnTutnv/BBx/YDKUPkkgk\\\n",
       "uHPnDurUqVNkXVEUK/xLqVQyoBERuQkDIREROU0ikSAwMBAhISGQSCr3PyWvvvoqateu7dK51oKJ\\\n",
       "s2Fl06ZNdheymTRpEvR6PYKDg53uH9nGEUIi8hQl+zAHERGRFSqVChKJpMKMKp49exZ+fn4wGAxO\\\n",
       "nde8eXOLMkEQEBsbi5MnTxrLPvvsM7vtZGdnQ6FQQKfTGcuCgoJw+/btEn8u01M5E/QYCImoIqvc\\\n",
       "P9YlIqJyZeDAgRAEAd7e3sZpf+Hh4bhw4QIMBoPJtMCycPnyZchkMmMYOHfuHID702Wd3TuxXr16\\\n",
       "OHz4sNVjJ06cwOnTpzFq1ChkZGTgzTfftNuWIAjQaDT4/fffMWfOHOTl5eHevXsMgyWII4RE5CkY\\\n",
       "CImIqFT07dsX69atsyi/desWGjZsCKlUColEYvLy9/fHr7/+WqyAaDAYkJqaCq1Wa7ferVu3ULdu\\\n",
       "Xej1emNZkyZNcPPmTYiiiEcffbTIaz300EPIy8uDKIr4999/7Y6AxsTE4JtvvkFISIhD9yEIAp56\\\n",
       "6im8++678PHxcegcch0DIRF5CgZCIiJySVZWFu7du+dQ3ZycHKe3URBFEbm5uejfvz8kEgmkUimC\\\n",
       "goIQFBQEuVwOqVQKHx8fnDp1ymYbhaNo1atXh0KhQMeOHW3WrV69utU+7N+/HwDQo0cPu/1dsWIF\\\n",
       "Ll++zLBWSTAQEpGnYCAkIiKn5OTkQC6XIygoCMHBwXj88ceLPCcwMLDY1zUYDMjKykJWVhZ0Oh0M\\\n",
       "BgMKCgoQGxuLXr16mYzsAffDXEhIiMno4sGDB62OyGVmZlqcX6hPnz6QSCSIi4uz2bemTZti2LBh\\\n",
       "Lt4ZERFR2WEgJCIimwwGg/F17949NGnSBAEBASaLm/z111922/Dx8SnxZwI3b94Mb29vk7ImTZpY\\\n",
       "ve7du3dNFogRRRHR0dFW27127Zpx2qdCoUCtWrUs6kgkEvzzzz92+5eVlYXnnnsOo0ePRlZWlkP3\\\n",
       "RGWLI4RE5CkYCImIyERWVpZxOwmpVAqZTAaZTIbg4GCnNz5v0qQJCgoKSqinprRaLQYOHIjc3Fy8\\\n",
       "/vrrxgVhrMnLy4NUKoWfnx+USiUyMzNNjguCgC1btiAqKsqk/OLFixb1HLm/unXrYvXq1fjmm28Q\\\n",
       "FBQEmUyGvLw8x2+OykRJhcHffvvNajspKSklcBdERPYxEBIReQi1Wo2CggKbWycYDAZERUUhKCgI\\\n",
       "d+/eNY6uFbXqp60vxHq93ukAWVzr1q1DcHAwvvrqK4fq5+XlmSw2I5FIcPjwYRgMBjzxxBMW9eVy\\\n",
       "ObKzsxEbG4v+/ftDp9M5tHXGnTt3TN7r9Xr4+flBrVY71E93+Pnnnyv9npHuVJIjhP369TP+WiqV\\\n",
       "Gn9do0YNt/WfiMhRXK+aiKiSy8zMRFhYGDQajbFMKpWifv36eOaZZ5CZmYkVK1YgOzvbpfarVq1q\\\n",
       "tby0RgbNFbWaqD13794t8nlHf39/nDhxwuVrPKhx48a4fPmyW9qyZ9OmTRgwYECJX6cyKY19CB/8\\\n",
       "QQunnRJRWWEgJCKqxERRRLVq1SxCkl6vx7lz5/DBBx8U+xodOnSwWu7n5wdBEFx+flAikZTqnoQ+\\\n",
       "Pj5uWfzGmvDwcNy8edOiPDU1tUSuZ653796lcp3KxJVAmJSUhBYtWhjLO3fujHnz5tk9TxRFhkEi\\\n",
       "KlOcO0JEVI6lpqYWa6Tt9u3bxRoxc4S9wJafn2+yDYNMJoO3t7fdqYtyuRz5+fnQ6/UwGAz4+eef\\\n",
       "7V5fKpUiNDS02Ns9jB07tljn22NrFNCRvQ1tSUtLg5eXF+RyObZt22az3oMjw+Q4V6aM6nQ6nDx5\\\n",
       "0viyNXX5yJEjJtcpVFo//CAiehADIRFROVa9enX4+PjA39/fZGVPRwUGBhZ79MF89U5zx44ds3nM\\\n",
       "y8vLuFG7KIrQarXGsKdWq9G4cWNjXUEQMH36dGg0GpNr9u/fH507d7ba/mOPPQaNRoO0tDRcv369\\\n",
       "WPc6Z84cl88tire3N77++muTMolEgj/++MPlNmvUqAG1Wg2dTocePXrYXEQnPz/f5WuQc2QyGWJj\\\n",
       "Y42vcePGWa3Xrl07q+UcKSSissBASERUAeTm5trdB88WpVIJnU6HiIgIp8+9evUqRFFEfn4+RFFE\\\n",
       "s2bNrNZLS0tzum3g/jYOZ86cMYZFg8GA999/32rdPXv2mCzyIpPJoNfr8ffff0MikUAikSAkJMTm\\\n",
       "SNzEiRON1yl8Xbp0CXPmzEFycjJEUbQ5amkwGIzTXwVBQHBwsEujrmPHjjXep8FggF6vd3mRl8Lz\\\n",
       "H9S4cWOr/QoKCnLpGp7OlRHCmJgYnDhxwviyN10UgMmfRyKissJASERUQZiPMDlKIpEgJSUFPXv2\\\n",
       "dGgEQhAE3Lx502LPvVOnTlmtX1pfZrds2YLc3FxkZGRAq9VaDVPR0dGYO3euSdmkSZPw6aefWtSt\\\n",
       "U6cO3n333SJXdmzWrJnJFhH37t2DQqFweT9Bd+xbJ5FIrLbRqVMnq/XfeuutYl3PE3EfQiLyFAyE\\\n",
       "RETlmEwmQ2BgIBISEtC0aVOX2xEEAcuWLcNDDz2EqKgoZGZmmozMZWdnIyEhASkpKTAYDAgPD7fa\\\n",
       "jrtW13SVr68vQkJC7NYZP348DAaDcYuN2bNnF+uatqZiFtWPkjZ48GCLsgefTXvQJ598gm3btkEu\\\n",
       "l5d0tyqN0giEgiBAJpMxUBJRmWIgJCIqx7RaLTIzM9GyZctitzVr1ixcu3YNubm5JqtpCoIAf39/\\\n",
       "tGzZEpGRkXbbiI2NRWhoqEmZTFb+FqwWBAFeXl5u+aJtb5/FnJycYrfvqpUrV1ot37Rpk9XyuLg4\\\n",
       "LjDjhJIMhA8+Q/jg1N8pU6a4rf9ERI5iICQi8gBJSUmYN28edDod7t69a3NzekfcunXLZLrmmjVr\\\n",
       "3NHFcuuRRx6xeaysF2z58ssvLcr69OlT+h2phEoyEB4+fNjimVZRFN2yDQwRkbMYCImIPED//v1N\\\n",
       "3l+/ft3ltgRBMD6rJpPJKv0ed/amnPr5+ZViTyyNGjXKokwURdy5c6cMekNERBURAyERkQf4999/\\\n",
       "Td7XrVu3WO399ddfmDdvHjIzMyv9c2kdOnRAx44dLcrlcjl8fX3LoEf/z9aejtWqVSuD3lQuXFSG\\\n",
       "iDwFAyERUQWVnJwMpVIJQRCgUChw/Phxq/WsrQJauOm7q3JyctC/f/8yD0SlZf/+/Zg7dy6kUimA\\\n",
       "+1tm3Lp1q4x7dV9UVJRFmcFgwOuvv14Gvak8GAiJyFMwEBIRVUDXrl1DVFSUcZEQrVaLNm3aYM+e\\\n",
       "PRZ1bX1hdWWj+5ycHERERCA8PByDBg1yvuPFoNfrkZ+fj9zcXKjV6mIFWleMHz8eWq0WKpUKKpUK\\\n",
       "VapUKdXr22K+yE+hr776qpR7UrkwEBKRp2AgJCKqgOrVq2e13Nbm9bt37zZ5Xziq6Ix27dohICAA\\\n",
       "aWlp0Ov12Ldvn8t78Tnj9OnTkEqlkMlk8PX1hb+/P3x9fTFx4kSLzdmdodfr0b59eyiVSjz00EMO\\\n",
       "rcApCIJxVLY8MBgMOHv2rM3j5WUUsyJiICQiT8FASERUAdka3bMVkDp37oyff/7Z+MU1IyPDqet9\\\n",
       "++23OHr0qEX5o48+6lQ7zlKr1WjWrJnFaKBer0dUVJRxCqezDAYDfHx8cPjwYWg0Gly5cgXBwcHu\\\n",
       "6HKJy8jIwN9//40lS5YgOjoaeXl5Nuv26NGjFHtWuTAQEpGnYCAkIqqAbAWxgQMH2jynf//+MBgM\\\n",
       "EEXR6fAzduxYq+Vnzpxxqh1npaamWi339/fH+PHjXW63Vq1aFiOCeXl5xdpX8JFHHoFEIoFUKsXk\\\n",
       "yZOt1hFFEbm5uS6PbN66dQuRkZGIj4/Hyy+/XORqsadPn3bpOkRE5DkYCImIyrH169fjwIEDyM3N\\\n",
       "NSnfsWMHTp06hYCAAAiCAIlEgnfffRerV68u1f6V9AqjtWvXtpja6uvrW+RU1Rs3bmDnzp1WF9TR\\\n",
       "6XS4ceOG1fMuXbrkUj8XL16MAwcOQBRFGAwGzJ49GxERESYjm2q1GnXq1EFAQAB8fX1d2vqjTZs2\\\n",
       "0Gq1DtcXRRE//vij09chjhASkedgICQiKseeffZZPPLII/D390fz5s1NjjVr1gxZWVkwGAzQ6/WY\\\n",
       "M2dOifVj1qxZVst/+umnErsmcP9LuUqlwjfffIM+ffrg3LlzyM3NtfsFvG7duqhZsya6d+8OmUxm\\\n",
       "EQpv3rxp89yAgACX+rl+/XqLsrS0NISEhODw4cNYt24d/P39ceXKFYiiCLVajejoaItn/Ao3KLcm\\\n",
       "OTkZycnJTvdt6NChKCgoML53NuiUx5darba6sfuDr+JiICQiT8FASERUQfzzzz+lvrJmoYkTJyIk\\\n",
       "JMSkrFq1aqWyKb0gCBg1ahQ2bNiAhg0b2q17+fJlXL582fjeYDBgyJAhJnWUSqXN861t4eAIWyt6\\\n",
       "ZmZmon379hg4cKDFyJ7BYEBERASaNWuGRo0aQS6XQyKRQCKRwMvLC0lJSca6eXl5qF27tkt9A+5P\\\n",
       "sVWr1S6f74kYCInIU8jKugNEVDxXrlzBvn37cO3aNeTn5yM0NBQtWrRA+/bt4eXlVdbdIzeztgl5\\\n",
       "acnIyEBaWhrWr1+PgQMHlsvNz7t3725R9uuvv5q8t7VdhCAILk+BbdKkCSQSidOBXRRFq8/5qdVq\\\n",
       "NG3aFJGRkWjYsCF2795drB8G6PV6+Pj4YPv27S634YkY9IjIEzAQElVQq1atwrx583D8+HGEhYUh\\\n",
       "MjIS3t7euHv3Li5fvgwvLy8MHjwY77zzDmrVqlXW3SU32LJlS1l3AeHh4XjttdfKuhs2WVtx0/xL\\\n",
       "va2VSa9cuVLsa3t7exerDXOpqak2F9ZxlsFgQLdu3dzSlidwZuSPwZGIKjJOGSWqgFq0aIGvvvoK\\\n",
       "w4cPx7Vr13Dz5k0kJCRg//79OHv2LLKzs7Fx40YYDAa0bt3a6vNNVHFIpVJs374dTzzxRLHbEkUR\\\n",
       "P/30EzZt2uSW56zKm169elmUBQYGmry3tShLcX9wIpPxZ6xERFTx8F8vogroo48+Qnx8vM3jSqUS\\\n",
       "Xbt2RdeuXTFr1ixcvXq19DpHbuXO0KbT6aBQKEzaPHXqFJo1a+a2a5S18ePHY/ny5SZl5lMtP/nk\\\n",
       "E4vzfH19rbaXnp6Ob7/9Fi+//DKqVq1q99q2tuYoKYIgIDY2FmfOnLHYQoOKjyOEROQpOEJIVAHZ\\\n",
       "C4PmQkJC0KpVqxLsDVUUK1assAiYjzzySKUaKTRf+AaAxZYdCxcutKhjK+w1adIEU6dORf369e2G\\\n",
       "rvz8fHz33XdO9rZo9oLGsGHDcPDgQXz//fduvy5xURki8hwMhESVRHp6OpKSkvDPP/+YvIgKjR49\\\n",
       "2qIsJycHffr0KYPemDIYDG5ZQdVauM3Pz4dKpQIA3L17F2lpaRZ1+vfvb1GWm5uLjIwMiKKIe/fu\\\n",
       "QalUmqz8Cdx/bjA8PBy+vr4ubzZvy4wZM7By5UqrCwnVqFEDy5cvh5eXF4YMGYI6deq49drEQEhE\\\n",
       "noOBkKiCS0hIQExMjHH5+tjYWLRo0cL4X6JCtp5xK9wbr6yMGzcOMpkMMpkM/fr1s1onLy8PDz/8\\\n",
       "MCIiIvDxxx/bDI9LliyxWv7www/j1KlTqF+/vtXjr7zyikVZly5dLMqaNm0KuVyO4OBgSKVS+Pn5\\\n",
       "WewlWBRBENCiRQtUr17dZp07d+5g2rRpGDx4MDZv3mxx3HwauHlQpeJjICQiT8FASFTBvfDCC6hf\\\n",
       "vz4OHjyI//77D1euXDH5L1Gha9euWXxxDQ4OxrFjx8rsC+1///2Hr7/+2riZ+G+//QY/Pz/j9ExR\\\n",
       "FDF69Gj4+fnhyJEjSEtLw7vvvgupVIoRI0aYBFmdToc5c+ZYvU5SUhLefPNNZGVlWT3+0EMPWZSd\\\n",
       "P3/eal2dTod79+65NKIplUqh1WqRmJiIGzduwGAwoF+/fsbPv0qVKtBqtQgODjae8/jjj5uMAE6Z\\\n",
       "MsVipVQvLy/4+flZXE+pVKJDhw6oXbt2mW5ZUhExEBKRp+CiMkQV3H///YdffvkFdevWLeuuUDlX\\\n",
       "rVo1GAwG5OfnQ6PRICAgwC0hoTDMudJW48aNLcry8vKgVCoREBCAvLw8m1Mxly9fjhUrVqBRo0bI\\\n",
       "y8tDamqqzbre3t6YOHEiFAoF/vzzT5Nj9erVs9r3qlWr4vr1607fkz3vv/++SZgTBAG//PJLkedd\\\n",
       "unQJSUlJCAoKQo0aNazWycrKQmBgIHJzc6FUKnH58mW7o5AV2YwZM0r8GlxUhog8BX9cSFTBde/e\\\n",
       "HadOnSrrblAF4uPjg6CgIJsBzmAw4MyZM8jJybHbztKlSyGVSiGRSCCVSo0buz/66KNITExETk4O\\\n",
       "tFqtzemoFy5cgFqtttl+dnZ2kc/liaKIs2fP4tq1aza3kwCAf/75B48//ji2bNmCEydOQKlUQhAE\\\n",
       "RERE4MKFC1bPOXjwoN1ru6J9+/YunxsTE2MzDAKARCJBTk4ODAYDVCpVpQ2DRETkXhwhJKrgvvvu\\\n",
       "Ozz//PNISkpCTEwM5HK5yfHevXuXUc+oomrXrh2OHz8OAHjxxRfx7bffWtRp06aNsc6DdDoddu/e\\\n",
       "bbGyrUKhwKeffopXX30VUqkUp0+fRmxsbIn039yrr76K6Oho4/vY2FioVCoYDAa7o5olEaj++OMP\\\n",
       "dO/e3e3tPoijVe7BEUIi8hQMhEQV3KFDh3DgwAGLaXDA/S8p7l75kCq3TZs2mQS97777Dj/88AMK\\\n",
       "CgogkUggiiKCgoKQnZ3tVLsajQavv/46Xn/9dXd32a6EhAS0bNnS6jFHpriKooiePXtiy5YtdutV\\\n",
       "q1YNN2/ehEQiQX5+Pvz8/KyOjG7duhVz5851rPNUphgIichTcMooUQX32muvYciQIbh586Zx6f7C\\\n",
       "F8MgPejGjRtYsmSJzYVVAGDEiBEWZRqNBtWrV8fFixcxatQop8NgWVmwYIHNMOiMTZs22V2xNzIy\\\n",
       "Erdu3TIGTB8fH9y4ccNqXWvbW1D5xEVliMhTMBASVXB37tzBG2+8gbCwsLLuCpVjs2bNQs2aNfHy\\\n",
       "yy8jKCjIYrP2QpmZmVbL09LS8Nxzz2HdunUl2Ev36devH1599VW3tCUIAn744QcolUqLY/7+/khJ\\\n",
       "SbEoj4yMtLrq5/vvv++WPlHJYyAkIk/BKaNEFVy/fv2wa9cubkxNNhkMBkyZMsWkLDAw0OoIsq2t\\\n",
       "FARBQM+ePeHv749du3aVSD/dJTIy0qGVO83pdDrk5+fj3r17yMzMhEajgVKphE6nw9mzZxETE4NT\\\n",
       "p05Bp9NBEATExcXh77//ttleVlYWFAqF8XP+7rvvbO4FWRp0Oh0yMjIQHh5eZn2oSDhllIg8BQMh\\\n",
       "UQVXv359TJo0Cfv37zdumv2gcePGlVHPyB0KpyEqFAp06tQJ69atQ5UqVZxq4/Tp0xZlBoMBy5Yt\\\n",
       "szpF1Jonn3wS06dPh06ng6+vr90VPUuDTCbDsGHDkJWVha1bt6KgoACCIGDIkCFYvny5U21t3boV\\\n",
       "/fr1Q0FBgdXjgiBAqVSiVq1aePnllzF06FC0atWqyHAnkUig0+mQm5sLb29vi70DS4ter4evr69x\\\n",
       "RVdbq74SEZFnYiAkquC+++47+Pn5Yc+ePdizZ4/JMUEQGAgruMIv72q1Gtu3b0dwcDBkMhmuXLli\\\n",
       "dwuCB33//fdWy0eOHGkRCK2FBUEQsGnTJuO2EitWrMBzzz3n5J24V3h4OBYtWgSFQlGsdpYuXYqR\\\n",
       "I0farSOKIlQqFa5cuYJx48ahfv36Tl3D2tTR0hQSEmJ3ew+yjiOEROQp+AwhUQV35coVm6///vvP\\\n",
       "LddYsGABateuDS8vL7Rr1w5Hjx61W3/9+vVo2LAhvLy80LRpU4sVGkVRxLRp0xAREQFvb2/ExcXh\\\n",
       "4sWLLvWtcFN0Wy+1Wu30s0Dl6WWNTqdDzZo1ERoaCpVKVeRnZOv3SxRFk2B37Ngxq/Vee+01k74M\\\n",
       "GDCgyGtaEx4e7tTopr1VQB9cxMVV9+7dw5gxYxyur9FoKuR0S3uLCJFtleEZwqNHj5bbvhFR+cFA\\\n",
       "SFRJ3bx5E5988kmx21m7di0mTJiA6dOnIzExEc2bN0d8fDzS09Ot1j948CAGDRqEkSNH4sSJE+jb\\\n",
       "ty/69u2LpKQkY51PPvkEX331FRYvXowjR47A19cX8fHxDoUb+n8ZGRnw9vaGl5cX3n//fWg0Gqv1\\\n",
       "zpw5Y7ON1atXQ6lUIiQkBG3btrVaZ/bs2SbvXXkOLiwsDIcOHcLhw4fh5eVVZP3BgwcjNzcXBw4c\\\n",
       "sHpcq9XaPGaNKIrQarXQarXQ6/XQarX48ccfnfozJwhCmY/2uYKBwDWVIRDa+jtNRPQgBkKiCu6F\\\n",
       "F16w+hoyZAg++OCDYrf/xRdf4KWXXsKIESPQuHFjLF68GD4+Pli6dKnV+vPmzcPjjz+Ot956C40a\\\n",
       "NcIHH3yAli1bYv78+QDufzH/8ssvMWXKFPTp0wfNmjXDDz/8gNTUVGzYsKHY/fVEarUaM2bMgFKp\\\n",
       "REREhMlKoRcuXLC5omghjUaDu3fv2jxu/lwq4Ngefg/KyspCbm4uAgMDHVoRd8WKFfD29kaHDh2Q\\\n",
       "mppqtc5jjz1WZDs5OTmoWbMm5HI5fHx80LhxY2zevBlnzpzBokWLnLqHAQMGFHtUsiyMHTu2rLtQ\\\n",
       "IVWGQFiovPePiMpWxfuXjYhM3Lt3z+SVkZGBo0ePYvfu3fjss8+K1bZGo0FCQgLi4uKMZRKJBHFx\\\n",
       "cTh06JDVcw4dOmRSHwDi4+ON9a9cuYK0tDSTOoGBgWjXrp3NNslxaWlpqFKlCuRyOXx9fdGwYcNi\\\n",
       "t5mYmGhRVrNmTYsyX19fvPnmm3jhhRcsFlBRqVTo378/jh8/jtq1a9u9Xnh4uMn5ERERqFatmkU9\\\n",
       "rVaLw4cP22znxo0bCAgIwI0bN6DX66HT6XDp0iU8++yzeOqpp3DhwgW7/XjQG2+8gbVr1zpcvzz5\\\n",
       "6quviv2spSeqTIEQsLwfIqJCDIREFdxvv/1m8vr999+RlJSEmTNnFnvELSMjA3q93mJEJywsDGlp\\\n",
       "aVbPSUtLs1u/8L/OtAncHwXLzs42eZFthVsouIO1keYXXnjB5H3t2rVx9uxZfPTRR/jss8/g7+9v\\\n",
       "cc7169dx9epVtGvXzu60U2sLIdka5XrttddsttO7d2+r5Wq1GqmpqTa32DAXGRmJjz76yKG65dXm\\\n",
       "zZvLugtURgqfp+7UqVNZd4WIyikGQqJKatCgQdi9e3dZd8Nt5syZg8DAQOPL2ggVlYwtW7ZYbDMx\\\n",
       "depUHDhwALt374ZOp8OVK1cQFRUFmUyGKlWqoHv37hbtqNVqREVFYebMmbh9+zbeeusti+moYWFh\\\n",
       "mDRpksW57733ntW+HT9+3GqwMxgMOHHihM17cjQMAsDu3bsdHmEr3GYiJSUFycnJZb49R6G4uDjo\\\n",
       "dDp8+umnZd2VCqUijg7a6tNnn31msuAWEVEhBkKiSurUqVNo0aJFsdqoWrUqpFIpbt26ZVJ+69Yt\\\n",
       "m6sthoeH261f+F9n2gSASZMmISsry/hKTk52+n7IdYGBgSbvBUFAhw4d0KVLF6v761nb008ikaBH\\\n",
       "jx5QKpUICgrCJ598Ao1GA71ej9zcXGg0GpujxFKpFEql0uqxwYMHW5S5sjG9LTt37iyyzpo1a6BU\\\n",
       "KiGXy+Hv748aNWogKioKCoUCNWvWLBdfwKVSKSZOnFjW3agwKsOU0Qd/4NKuXbty208iKlsMhEQV\\\n",
       "3IQJEyxegwcPxtChQ1GzZk2TcmcpFAq0atUKO3bsMJYZDAbs2LED7du3t3pO+/btTeoDwLZt24z1\\\n",
       "o6OjER4eblInOzsbR44csdkmACiVSgQEBJi8qPQUFBSgZ8+eDte3FqIiIyOthjqJRAJfX1+ri9c8\\\n",
       "6JFHHrFavmbNGovVQp9//nmH+1qUV155BTk5OTaPb9myBYMGDbK5yuuNGzfg7e1dLkIhOa4iB8LC\\\n",
       "v2c6nc7qD2yIiB7EjemJKjhb0+LatGmD9PR04/YQrn5hmTBhAp5//nm0bt0abdu2xZdffom8vDzj\\\n",
       "hubDhg1D9erVMWfOHADA66+/ji5duuDzzz9Hz549sWbNGhw/fhxLliwx9mP8+PH48MMPUa9ePURH\\\n",
       "R2Pq1KmIjIxE3759XeojlY4tW7YgJSUF1atXt1tv+/btVrdzePfdd4t1/ebNm1v8sKGQn58fHn30\\\n",
       "UXzzzTd4+eWXrY5QukoURQQHB9uc/mnrWcUHqdVq+Pr6Ii8vr9yFB7LOmaBX3n5P1Wo1YmJiAPz/\\\n",
       "9GiZTAadTleW3SKicoqBkKiC27VrV4m2P3DgQNy+fRvTpk1DWloaYmNjsXXrVuOiMNevXzdZir9D\\\n",
       "hw746aefMGXKFLz33nuoV68eNmzYYPxyAgBvv/028vLyMGrUKGRmZuKRRx7B1q1bHdqfzlxRX8SU\\\n",
       "SmWFHpkpb180H3roIeTm5lodzRNFEStXrrQ5Ome++qyz7D0Tq9frsX37dtSpU6dY17BFp9Nh8uTJ\\\n",
       "mDVrlkl5fn4+9Hq9Q20UFBTAx8cH+fn55e73lSxV5EAIWO4/yjBIRLYwEBJRkcaOHWtzlUdrX9IH\\\n",
       "DBiAAQMG2GxPEATMnDkTM2fOdFcXK638/HycOHECnTt3djh4lCSNRoOAgAC8/vrrqFGjBg4ePIhT\\\n",
       "p04hLS0NmZmZdhdruXTpEurXr1/kNQoD/INfsvPy8nDq1Kni30AxzJkzxyIQ2tv2whqVSgVfX1+3\\\n",
       "rQBLJaeiBkJRFI39iYiIwM2bN8tV/4io/OEzhEQV0OOPP+7QF9GcnBx8/PHHWLBgQSn0ikpC4ebs\\\n",
       "Go2m3HypU6lU+Pjjj/Haa69h9erVOHv2LO7evVvkyp3PPfec3eOiKOLFF1+Et7e3cTGWr7/+Gr/8\\\n",
       "8gsaNGhQ5oFYFEWL7U7+/fdfp9spKCiAn5+fu7pFZKFwJdHU1FQsXbrUWP7rr7+WYa+IqLziCCFR\\\n",
       "BTRgwAD0798fgYGBeOqpp9C6dWtERkbCy8sL9+7dw9mzZ7F//35s2bIFPXv25FLzlYBEIsH27dut\\\n",
       "budQUWRlZWHEiBFYtmyZ1eMxMTE4e/as8f2NGzcwbtw4CIJQbqb9Dh48GJs2bTK+t7XQTVHy8vIQ\\\n",
       "FBSEzMxMN/WM3K2ijhCaGzFihPGZbyIiaxgIiSqgkSNHYsiQIVi/fj3Wrl2LJUuWICsrC8D9LyaN\\\n",
       "GzdGfHw8jh07hkaNGpVxb8ldunXrVtZdKLbly5dDEASTUQvg/tTLB8Pgg8pLGATuL6zzoMaNG7vc\\\n",
       "VlZWFgYMGID169cXt1tUAipLICQiKgoDIVEFpVQqMWTIEAwZMgTA/S+XBQUFCAkJKXL5fqq4YmNj\\\n",
       "cfLkSYtyb29vANb3/yvk5+eH/Px8pzZlLwnLli3DP//8g8OHD0Mmk0GlUuGpp54q0z45ymAwQKVS\\\n",
       "GRdAkkgkxVq98eeffzZ55ovKDwZCIvIUfIaQqJIIDAxEeHg4w2Alt2LFCpP3giBgxYoVyM3NRV5e\\\n",
       "HhISEiz2HfPx8cHRo0dx8+ZNTJ8+3aLNwMBA1KhRo0T7bS4hIQF+fn743//+h9jYWGRkZJTq9e1R\\\n",
       "KBT45ptvbG7iXrduXZP3DRo0sNveg6vwWlOe7p3+X0Xeh5CIyBkMhERE5diECROwevVqpKenIz8/\\\n",
       "Hz4+PoiNjYVEIoEgCKhduzb69etnfN+yZUvcvXsXO3fuxLlz56DT6ZCXl4c2bdrAz88P8fHxxi+v\\\n",
       "3t7e0Ov1yMzMRHJyss199kqKWq3G2rVrceHChVK9LgD4+/sbR1UfNHXqVKjVaowaNQqffvopdDqd\\\n",
       "xZf9lJQUyOVyJCUlITExEefPn7d7raJGZKdMmeJ0/w0Gg0W7Wq0Wa9euxZo1a8rVNNuKqqQDobe3\\\n",
       "N4MlEZULnDJKRFSOzZ071/jr4OBgDB8+HNWqVYNMJoNGo8HVq1dRp04dTJ06Fd26dYNSqYS/vz86\\\n",
       "d+5sMVII3H/+9MFtHR4cvZLJZOVqAZeSEBQUhPT0dONIularxeDBg7F161Y8/fTTFluhSKVSZGRk\\\n",
       "ICQkxKRcp9OhadOmbunT6tWr8c033zhUNzc3F40bN0ZqaiokEgnq1q2L4cOH4/Lly1i5ciUKCgog\\\n",
       "CALS09Mxbtw4t/SP3K9u3bpQqVTG91KpFHq9noGQiMoERwiJiCqIu3fv4scff8TFixeNo3miKCI9\\\n",
       "PR2vvfYamjRpgnr16iE+Pt5qqMvPzzfZrDo/Px/79u0zvj937ly5D4MKhQJ169ZFlSpVnD5XJpPh\\\n",
       "zp07JtOq5XI51q1bh6ysLIvpuIUKg3hJycnJQUpKSpH1/vnnH/j7+yM5ORl6vR5arRbnzp3DO++8\\\n",
       "gyVLlhifHxVF0e5WM86OfJXHl1qtNm6tYOtVXCU5Qnj58mUA/789hE6ngyiKZf58LxF5JgZCIqIK\\\n",
       "5N69e0hNTbX5hVcURZw8edLqip2PPfaYRVnnzp2Nz5+6smKmIAho1aoVXnvtNdSqVatERzgkEgm2\\\n",
       "bNmC8+fPIyMjAzdu3EBsbKxD1xQEAadOnbL5PF9RbSxbtqxEn8+tW7cupkyZgtOnT+P27dtQqVQw\\\n",
       "GAwQRREqlQpdu3ZF8+bNHW6vvAf7iqA0niHkdFEiKg84ZZSognv++ecxcuRIdO7cuay7QqXA0dUs\\\n",
       "27Vrh7y8PGMAunz5Mg4ePGi1bnZ2tsWG647666+/EBcXB+D+s3DdunXDuXPnSmSk44knnkC3bt2M\\\n",
       "X5yrV6+OEydOAIBxxOzGjRv4559/kJKSgsTEROzduxeZmZkYPnx4sbaIAO6HcVsbyhf2ydUgplKp\\\n",
       "MGvWLMyaNcvl/j1Ir9dblOl0Orzxxhtuad8TuLLKaFJSElq0aGEs79y5M+bNm+fUNRnmiai0MRAS\\\n",
       "VXBZWVmIi4tDrVq1MGLECDz//POoXr16WXeLSoijXxZVKhX8/PwwefJk/P3339i7d6/b+zJ8+HCT\\\n",
       "Ucdq1arh2LFj+OWXX3Du3DkEBgbi0qVL+Pnnn3Hv3r0i2xMEAdHR0ejfvz/Onz+PXbt2IT8/H4Ig\\\n",
       "oFu3bvj9999tfkGXSqWQSqWoW7euxSqgeXl5kMmK/8+dr68vGjVqhHPnzpmUy2QybNq0CZ06dYIg\\\n",
       "CLh79y7WrFmDmTNnIicnp9jXdUXhtNLC50hFUUTLli1x+vTpMulPReRKINTpdCbbwpw8edJuIHzw\\\n",
       "7zNHCImorDAQElVwGzZswO3bt7Fy5UqsWLEC06dPR1xcHEaOHIk+ffpwGwoPVlBQgKlTp5bYiMNH\\\n",
       "H31kUebt7Y2BAwdCFEVjCPvoo48wdOhQ/Pnnnzb7IpFIMGvWLLz55pvG87KysvD7778jPz8fQ4YM\\\n",
       "KXL7Blt8fHzc9hn8/PPPaNKkiUlZo0aNEBcXZ+y3j48PJk6ciBdeeAFRUVHIy8uz2Z4gCJDL5dBo\\\n",
       "NG7pXyGtVotbt24hMjLS+D45Odmt16jsXAmEMpkMMTExxnLO3CCiioDPEBJVAqGhoZgwYQJOnTqF\\\n",
       "I0eOoG7duhg6dCgiIyPxxhtv4OLFi2XdRSojxQ1CoaGhCA4Otijv1asXwsLCrJ4jl8uhUCggkUgg\\\n",
       "kUgQHByMzZs3Q6/XY9asWRYrm+7cuRN6vR7vvvsu5HK58Yt4UFAQhg0bhtGjR9ucqukIZ77Ya7Va\\\n",
       "u6OZjRs3xogRI4zvAwICcPz4casjkMHBwcjNzbW5AE7Lli1RUFCA3NxcvPnmmw71zxl16tRBZmam\\\n",
       "ceGShg0buv0aZComJgYnTpwwvpyZLkpEVFYYCIkqkZs3b2Lbtm3Ytm0bpFIpnnzySZw+fRqNGzc2\\\n",
       "2b6AqChKpRJarRbp6em4c+cODAYDNm3ahK5du+LPP//Epk2bnG5TEAS89957xuf9Cv/76KOPlsAd\\\n",
       "mFKpVEWG49zcXHh5eSE4OBgSiQR///231XpLly7FxYsXsWHDBty5cwcKhcJuu3fu3LEY3RwxYgQS\\\n",
       "EhKgVCohl8vx2Wef4eTJk26dNqhSqdCxY0fo9XoolUrs27cPW7dudVv7lV1pLSpTuIcoEVFZYSAk\\\n",
       "quC0Wi1++eUX9OrVC7Vq1cL69esxfvx4pKamYsWKFdi+fTvWrVtnsb8akS3t27eHSqUyGfUSBAG9\\\n",
       "evXCrl278Pjjjxf7GjKZzOUpoM7S6/V4/vnnMX/+fLv1oqOjjYvhiKJoc/sO4P6qoH369HHo2URB\\\n",
       "EKBSqRAaGgqlUonNmzdj6dKlFvWaN28OvV6PoUOHui0g/PvvvybTGePj493SricoyUD44J8rW78m\\\n",
       "IiotDIREFVxERAReeukl1KpVC0ePHsXx48cxevRoBAQEGOs8+uijCAoKKrtOUrn2xBNPGLc4EEXR\\\n",
       "5mqkFdUbb7yB9evXY9y4cVAqlTbr3b1716JMKpW65Uu6XC5Heno6VCoVnnzySZv1BEHADz/8YPz9\\\n",
       "0Ov1WLFihcsBMSwszLiwDDmvJEcHS2LvRCIiVzAQElVwc+fORWpqKhYsWIDY2FirdYKCgnDlypXS\\\n",
       "7RhVCIIgYPPmzZV6ytrmzZuNv9ZoNDb/njRr1syiTBRFbNy40aRMr9dj//79pfJsrkQiwbBhwyz6\\\n",
       "4KikpCQ398hzlMaUUSKi8oCBkKiCGzp0KLy8vMq6G1RBSaXSSv9ltlGjRibvT506BbVabVEvMTHR\\\n",
       "6t+lP//80zhid+3aNfj6+qJTp06oX78+fH19odVqS6zvhXr16uX079N7771ndWaAtZGpivZSKpUl\\\n",
       "HtAYCInIUzAQEhGVY88++2yJTvfV6XQlsom8NSVxneTkZKxbtw46nc5mndWrV1uUTZ8+3aJMEAQU\\\n",
       "FBTghx9+gFKphEQiQadOnfDpp58CAPLz8/Hwww+bhMn8/HwoFArs2LHDDXdjmyAINhevkUgkCAgI\\\n",
       "gJ+fH7y8vBAVFYWbN2+6bZN7T8VASESegoGQiKgcW7t2Le7du4fz58+X2DW+/fZbu8eTk5Ph5eUF\\\n",
       "mUyGJUuW2Ky3a9cuDBs2DIcOHTKGP4PBgPfeew8SiQRSqRQSiQQDBgwwCYeiKGL27NmQyWQQBAFe\\\n",
       "Xl64efNmkf2ePHkyoqKiMHDgQCgUCnTo0MFqPX9/f1SvXt2k7PDhwzbbHTp0KFQqFfR6Pfbu3YuA\\\n",
       "gABIJBJ4eXlBpVJZPScuLg6hoaElGq7N70EQBJw+fRp6vR5ZWVnIyclBQUEBrl27hvDw8BLrBxER\\\n",
       "VS4MhEREFUCDBg2wbdu2Eml7zJgxNo/p9XpERUVBrVZDr9fj5Zdfxtq1ay3q+fr6olu3bli5ciU6\\\n",
       "dOgAqVRqfM2ZM8e4YIYoivj5558hlUoRGBho3OJh8uTJ0Ov1AAC1Wo3IyEib4avQ7Nmzjb8WRdEk\\\n",
       "iJpLTk6Gj4+P8f0TTzxht21rpFIpJk2aZPN4RkYGpFIpmjdvjuzsbJMpju4Iihs2bDCuzBoSEgKt\\\n",
       "VmuyCTq5F0cIichTMBASEVUQcXFxRe555wq9Xo87d+5YPfbBBx9YlD333HMm7/fs2YP8/HyLekWF\\\n",
       "oOzsbLubwEdFRdk8ZqttWys1CoKArKwsPPnkk4iNjcWLL75ot2+2vPXWW0Vul/HPP/8gMDAQEonE\\\n",
       "+Cp8VtPPzw8nT5506dpNmzZFTk4O8vPzjeGTSg4DIRF5CgZCIqIKxNZm6cU1ZcoUq+Wff/65RVnh\\\n",
       "AiuFhg4dWiJ9un37ts1j1oKfn5+f3ZAkk8nwxx9/4MCBAwgODnapT4IgYPny5S6dCwB5eXlo0aIF\\\n",
       "qlevbve5R1t8fHzg7e3t8vXJcQyEROQpGAiJiCqQ9u3bl0i7q1atslqem5tb5LlZWVnu7o6RrRU8\\\n",
       "zRdZGTNmjN3RxgfP8/HxKdYX+CFDhrh8bqHU1FQ89dRTxW7HFlEUcefOHVy+fBmZmZnQarUwGAyl\\\n",
       "toBQZcBASESegoGQiIiQk5NjUWbvGb4HvwA/+Gzeg7y8vJCSkoK0tDRER0dbHG/ZsiWOHTuGNWvW\\\n",
       "2JwKayvAGAwGPP/882jWrBnOnTuH+fPnQyaT2eyvO9lb8dOZNqpVq+amHpnq168fJBIJqlatirp1\\\n",
       "66JKlSpQKBTGZzrJMQyEROQpGAiJiCqQohZacWfbf/75p9V65l9+/fz8rNb7+uuvERkZibCwMJw5\\\n",
       "cwZ16tQxPk/Xs2dPHDp0CK1bt8bAgQNx5coVyOVyk/OVSqXNAKPVatGvXz+sXbsWDRs2dPQW3cbW\\\n",
       "s4qOEAQBNWrUsDlNtzgOHjyI3377ze3tEhFR5VU6P04lIiK3sPZMn7uEh4fj7t27kEgkyM7ORr9+\\\n",
       "/azWUyqVJu8DAgIs6giCYLJwi7e3Ny5dumTz2pGRkdBoNMjPz8e6desQGhqKuLg4k1E/tVqNxMRE\\\n",
       "/PHHH/D19cWoUaNQtWpVZ2/TJlEUHRrpMRgMLm9G/9hjj+GPP/4okcWBFi9ejFdeecXt7XoqZ0b+\\\n",
       "OEJIRBUZAyERUQUgiiLS0tIwd+7cErtGVlYW5HI5vL29kZeXZ7NevXr1TN6npKRY1LE2RdQRPj4+\\\n",
       "GD58uEmZTqdDo0aNTAKlTCbDyy+/7NI1zOn1etSrVw/Xrl1DSEgIkpOTLULvg2rVquXSdXx8fPDX\\\n",
       "X385HR5mzZqFAwcOYN26dTZHY8+fP88w6GYMhETkKRgIiYjKscIvmoVTLUuawWCwGwaB+yNRD8rI\\\n",
       "yLCo06tXL7f16cKFCxajizqdDrm5uQgJCSl2+xs3bsSVK1cA3F/Z1MvLC/n5+VZX85w9ezZu3Ljh\\\n",
       "0nXCw8OdDg5+fn7G3w9/f38sW7bMIjBnZ2ejUaNGLvWJbGMgJCJPwWcIiYgqgMJpiqGhoXj77bdt\\\n",
       "LuRSGsxXOi3cUP5Bjz32mNuut3v3bqvlRQVXR40ZM8airHr16hZloihi8uTJLl/n+vXrTtUPDw+3\\\n",
       "uMcRI0agVatW0Ol0MBgM+PXXXxEYGOhyn8g2LipDRJ6CgZCIqAL5/vvv8fHHHyMnJ6dM9qM7f/68\\\n",
       "yZdfW8/SderUyW3XtLUapyNByJHFX9LT0y3KnNlKQy6XY+HChfjrr7+sPk9ZSKfT4cyZM0W2J4oi\\\n",
       "qlWrhlu3blk9npiYCLlcDqlUiv79+zvcT3IOAyEReQoGQiKiCqRDhw4A7k8h/euvvxw+LzIyEqtW\\\n",
       "rcK5c+ewefNml7ZomDJlCho0aFBkPUEQ3Dpq9cQTT1gttzddVBRFNGjQAHK5HN26dbPbvrWtLWwt\\\n",
       "lLN06VLjl38vLy/cuHEDGo0Gr7zyCnr06IGsrCxUqVLF5rWaNm2K7Oxsq324efMmOnToAIlEgtu3\\\n",
       "b9vtMxERkbswEBIRVSCzZ882/tpasHiQIAjIzs6GKIpISUnBc889h4YNG+LJJ5+EVquFXq93OBh6\\\n",
       "eXnhgw8+sCiXy+Xo3Lmz8X39+vXdvvm5n5+f1VU5bfVdp9NBIpHg33//hV6vx65du2wuBNOyZUur\\\n",
       "5Xfv3rVaPmLECBgMBoiiiIKCAqtTS0+dOmXrViCKIgIDAy1Gl6RSKSIjI3Ho0CGb51Lp4gghEXkK\\\n",
       "BkIiogrkk08+QUpKCvLy8jBw4EC7df/66y/4+/vbPC6RSKBSqRz6MmsvOO7evRvJycnIy8vDhQsX\\\n",
       "LI63bt0acrm8yP7a8/XXX1uUHT9+3Gpda6N7169ft3jWMSUlBSdOnLCo27x582J9wR80aJDL5zpL\\\n",
       "oVDgnXfewf79+7FixQrExsZy83k3YSAkIk/BQEhEVIGIooioqCiEhIQUuahKXFxcke1JpVLk5+cX\\\n",
       "+YU2NzfX5rHCjdatLXTzyy+/ICEhATqdDuvWrXN5VdD4+HiLso4dOyItLc343mAwoH79+igoKLDa\\\n",
       "RnR0NPR6PURRxJ9//okaNWpYrWcraDriiy++wIEDB1w+3xkdO3aEWq3GRx99hI4dO2LYsGE4ceIE\\\n",
       "dDod5s+fXyp9qMwYCInIUzAQEhFVMAaDAWq12m4dqVTq8JdULy8v5OXlFTmy1LFjR4f7WGjRokUm\\\n",
       "7+/evYu///7b6XZ++uknizKDwYCIiAhIpVLIZDLIZDJcvHjRZhvJycnGxViefPJJq3WUSqVLz1fe\\\n",
       "uXMHMpkMb775ptPnumr//v02j40ZMwY1a9Ystb5URgyEROQpGAiJiCohicS5/717e3ujoKDA6rN6\\\n",
       "hQ4ePIi4uDiHVu4s9N5771mUme+jV5SitnswGAzGkT9H2rJXb/DgwU71DQC6deuGqlWrWt1+o6RE\\\n",
       "R0cXWeejjz4qhZ5UbgyDROQJGAiJiCohV8KJXC7HyZMn7dbZsWMHJBIJ/P39ERYWhiZNmuDff/+1\\\n",
       "Wb9bt24W4dTZFUhDQ0OdCqHFkZmZabXc1kI5Dz/8MHbt2lWCPbLOkSmhTZs2LYWeEBFRRcdASERU\\\n",
       "CRkMBpdW+1QoFA6NeOTm5iI9PR1nz54tciqpRqMxjjxKJBIcPnzY4f5ERUXhzp07Dtcvrt9++w1n\\\n",
       "z56FwWCASqVCQECAcRVQQRBQv359pKWloaCgAG+++SaOHDlSan17UI8ePYqsU9S0YrKPU0aJyFMw\\\n",
       "EBIRVVKLFy92uK4oili5ciUaN27s9GhcUc8eSqVSqNVqqNVqaLVah0cIH3vsMSQnJ7u1L0URRRFN\\\n",
       "mjSBVCqFt7c3cnJyTI5fvHgRNWrUQOfOnfHdd98V61qu6t27t0PPOd68ebMUelN5MRASkadgICQi\\\n",
       "qqTGjh3rUL0ZM2ZAIpFg2LBh0Gg0Tl1DEAScO3fOoboKhcLhZxs1Gg22b9/uVD9at26N7OxsHD16\\\n",
       "1OHzXCGKIvr06YOvv/7a6emvrpJIJAgNDcXs2bOxYcMGh84pq9HLyoKBkIg8BQMhEVElJYoiWrVq\\\n",
       "ZbfOyJEj8f7777vUfkhICFQqFapUqeLS+fa88cYbTtXv1asXDh06BB8fH7Rp0wbLli2zWTcwMNDp\\\n",
       "RXcedOjQIUyZMgXDhg1DZmYmsrOzMXbsWNSrVw/NmzfH008/jUaNGrk1JIiiiJYtW2LMmDEOt7tq\\\n",
       "1Sq3Xd8TMRASkadgICQiqsQSExNx+fJlq8dEUcTSpUtdavfw4cPIyMiwuyppcaxZs8ap+h988IHJ\\\n",
       "NMrhw4fD29vbpI5EIoFWq0VmZiZUKpXTX+LlcjkKCgrQtm1bk3J/f398/fXX+Pfff3Hy5En8+uuv\\\n",
       "OHv2rMmzk8UliiK2bduGzz//3OEpvdeuXXPLtT0VAyEReQoGQiKiSq5u3bpQqVQW5VevXnWpvQsX\\\n",
       "LqBdu3ZOn6fT6aDRaIoMNIcPH0ZWVhaA+88EzpgxA9nZ2bh+/Tr8/f1t9snc3bt3jSOBCoUCOp3O\\\n",
       "GBrlcjni4uIc6rdMJkNiYiI0Gg28vLwcOqfwPHv7IjrLYDBg5syZqFevXpGryLZt27bUVmatrBgI\\\n",
       "ichTMBASEXkAb29v3Lt3z6TsiSeecLqdGjVqoH79+jaP5+bmYtOmTRg5ciSaNm0Kf39/SCQSCIIA\\\n",
       "uVwOpVIJiUQCiUSCiIgIrF27Fnfu3MG9e/fwyy+/IDAwEO3bt4der4ePjw+ys7Mxbdo0+Pv7o2bN\\\n",
       "mkhLS7N63RdeeAHp6ekmZV5eXrhy5Qp++uknqyOC9qaVAkCtWrWg1+uh1WrRokULBz8hU1FRUW5/\\\n",
       "zvDy5cuQyWTo0KED0tLSoNPpYDAYoNVqcejQIXh5eeHYsWM2z3c26JTHl1qtNu4paetFRESOKXqZ\\\n",
       "MiIiqhSCg4PxyCOP4O+//8bq1autjqoV5X//+5/V8u+++w6jR492eP9DURSRlpZmsz0AqFKlCnx8\\\n",
       "fEzKzKeBFsrLy0ONGjWgUqlMng+sUaMG/ve//1kdwQkLC4NEIjHZnkMqlWL9+vV4+umnHboPRxw5\\\n",
       "cgSNGjVye0g5dOgQIiIi3Nom/T9nRv44QkhEFRlHCImIPMj+/fvh4+ODkSNHOn2uXC5Hr169TMrO\\\n",
       "nj0LmUyGl156yeEw6Kjbt29blN24ccNmfa1WC6VSiV9++QW3b9/GuXPncPToUavTZYH7oXTQoEGI\\\n",
       "iorCm2++CZVKBZ1O59YwCAANGjTA0qVLHdoqgsoPThklIk/Bf52IiMiEIAjw9vZGaGgolEolBEFA\\\n",
       "3bp18e677xqfTVOr1YiPj8fevXtLrB8ajQbHjh1DmzZtAAAqlQoPPfSQ3XN0Oh2eeeYZkzKZTIYZ\\\n",
       "M2Zg4sSJkMvl0Ov1uHLlCnbv3o3x48fjhx9+KNaqo44YPnw4evTogbp166KgoKBEr0XuwRFCIvIU\\\n",
       "DIRERGRCFEX4+Phgz549iIqKsvpld8OGDSUaBgu1bdsWoaGhkMlkLm+0rtPpMHnyZEyePNmkXBAE\\\n",
       "fPzxx2jdurU7ulqkyMhInDlzpshQS+UDAyEReQpOGSUiqoB8fX1LdFQrNzcXNWvWtPlF19Vw5orb\\\n",
       "t2+XyPVEUcSUKVPc3q490dHRkMvlJdJ2rVq18N9//0GlUiErKwvvvfdeiY98VmacMkpEnoL/UhAR\\\n",
       "VUD5+fkmi6G4m0ajsRsmXFmhtDzSaDRu3RoCuB80n3vuOTRv3hzJyckWx0NDQ916PalUitzcXFy9\\\n",
       "ehXR0dFQKpUICAjArFmzoNfrsWjRIrdej4iIKhcGQiKiCqikl9UvKmzWrVu3RK9fmho0aGD1ftVq\\\n",
       "tUvtRUREYPXq1fjnn38QFRWFsWPHmhw33/6jOP73v/9Bp9PB19fXZp3C1V9HjRpVYqOTlRFHCInI\\\n",
       "UzAQEhFVIu78YmovdEql0koTLkRRhFwux6+//oqUlBQMGjQIEokEXl5eiI6Odrq9W7dumbxfsGAB\\\n",
       "6tSpg4yMDHz77bfFWlSmWrVq2LRpE/Lz8yGKIlavXu3QeRKJBN988w00Go3L1/Y0DIRE5Cm4qAwR\\\n",
       "USXizpHDwimI1uh0Ovj5+ZmMdhWGKIPBYNw4vKIwGAzo37+/RfnVq1dx+/Ztp6Z5SqVSiy04/vvv\\\n",
       "v2JPFc3JyYGfn1+x2iDHcVEZIvIUHCEkIiKr6tata3VvwczMTLRo0QJZWVkQBAE+Pj74/PPPkZub\\\n",
       "i9zcXOTl5SE9PR3Dhw+Hj49PhV/YZMyYMU7V/+GHH9zeh59//tltYVAUxQr/KtwOpSRH7DhCSESe\\\n",
       "omL/K01EJUar1eKdd95B06ZN4evri8jISAwbNgypqalFnrtgwQLUrl0bXl5eaNeuHY4ePWpyXKVS\\\n",
       "YcyYMQgJCYGfnx/69+9vMc2O7nv11VdRs2bNMrm2wWCATCZDtWrV0KpVKwQFBUEikaBKlSo4c+YM\\\n",
       "DAYDRFHEM888gzfeeAPe3t4QBAESiQRVq1bFsmXLkJeXB71eb/wibzAYoFKpMG/evArzJXrLli1O\\\n",
       "1X/uuefcHoJ79+7t1vaoaAyEROQpGAiJyKr8/HwkJiZi6tSpSExMxK+//ooLFy4U+cV07dq1mDBh\\\n",
       "AqZPn47ExEQ0b94c8fHxSE9PN9Z54403sGnTJqxfvx579uxBamoq+vXrV9K3VCEtWLAA169fh1ar\\\n",
       "hVQqLZM+3L59G4mJicjKyrI6DVQURaem1imVSowbNw5qtbpCfJHOz893+py0tDS39uHGjRtubY+I\\\n",
       "iKgQAyERWRUYGIht27bh2WefRYMGDfDwww9j/vz5SEhIwPXr122e98UXX+Cll17CiBEj0LhxYyxe\\\n",
       "vBg+Pj5YunQpACArKwvff/89vvjiC3Tr1g2tWrXCsmXLcPDgQRw+fLi0bq/Ckclk+Pjjj8u6G1ad\\\n",
       "PXvWpfPkcjkiIiLc3Bv3KxzddEbVqlXd2ofx48cXuw2DwQCdTlf8zngIjhASkadgICQihxU+MxYU\\\n",
       "FGT1uEajQUJCAuLi4oxlEokEcXFxOHToEAAgISEBWq3WpE7Dhg0RFRVlrEPWvfnmm6hfv35Zd8PC\\\n",
       "yZMnXT7333//tXlMLpfDx8fH5nF/f3/MnTsXI0aMKPHnFJ2d0iwIAvz9/d12/d9//x1t2rRxaaGe\\\n",
       "3bt3QyKRVKqVYUsDAyEReQoGQiJyiEqlwjvvvINBgwYhICDAap2MjAzo9XqEhYWZlIeFhRmn0KWl\\\n",
       "pUGhUFiEygfrWKNWq5GdnW3y8kQXLlzAxIkTy7obJvR6vcvPOfr6+tqcCnv16lXk5eVBq9VaBJkX\\\n",
       "XngB2dnZGD9+PJYuXWp8TrGkAk9UVJTT5ygUCrf24fjx45BIJBAEAUlJSQ6dEx4ejkcffbRCrfha\\\n",
       "njAMEpEnYCAkIgDAqlWr4OfnZ3zt27fPeEyr1eLZZ5+FKIpYtGhRmfRvzpw5CAwMNL7KaqGV8uDT\\\n",
       "Tz91euXLknbjxg1s27bNpXMfHC1+UOF0UplMhoULF5oce++996ye899//7nUh6JotVqn9g8sKCjA\\\n",
       "nTt3SqQvANC0adMi+3Pp0iUu1lQMpTlCyHBJRGWJgZCIANxfxfDkyZPGV+vWrQH8fxi8du0atm3b\\\n",
       "ZnN0ELj/3JRUKrX4Enrr1i2Eh4cDuD9iodFokJmZabOONZMmTUJWVpbxlZyc7OKdVg7z58+HRqPB\\\n",
       "ihUrEBISUtbdAQD06NEDWq3W5nFbo1Rff/211fIHvxzXrVvX5JhKpbJ6To0aNYrqpstq165dZB29\\\n",
       "Xo8PP/zQ7lRXd3nrrbdsHjt27Bjq1atX4n2ozEorEDIEElFZYyAkIgD3n8eqW7eu8eXt7W0Mgxcv\\\n",
       "XsT27duLDB4KhQKtWrXCjh07jGUGgwE7duxA+/btAQCtWrWCXC43qXPhwgVcv37dWMcapVKJgIAA\\\n",
       "k5enk8vlGDZsGDIyMqBWq8vF82G+vr5Wy+vVqwepVIqqVatahMbg4GCr52g0GuOvhw0bZnJsxYoV\\\n",
       "Nvvg7e1ttVwikRTrM0pPT8elS5esHvv4448hlUohk8kwdepUl6/hKKlUiq5du+LOnTvYvn07atWq\\\n",
       "BZlMZpxS2rZt2xLvQ2VXGoGwc+fObu41EZHzGAiJyCqtVotnnnkGx48fx6pVq6DX65GWloa0tDST\\\n",
       "L+rdu3fH/Pnzje8nTJiAb7/9FitWrMC5c+fwyiuvIC8vDyNGjABwf/XSkSNHYsKECdi1axcSEhIw\\\n",
       "YsQItG/fHg8//HCp32d55+/vb5wi+8UXX1jdKB64H8Zv375dyr2zpNVqTaYbA8CBAwdw6dIliKKI\\\n",
       "O3fuQKFQ4ODBg8bjP/74o9W2HnvsMeh0Opw4ccJiRPj777+32YczZ86YvBcEAefPn4der4dGo4Eo\\\n",
       "iti4caOztwbgfrBdvXo1DAYD9Ho9vv/+e0gkErz77rswGAwutemsiRMnQqPR4JlnnoEgCHjyySdx\\\n",
       "/fp143OUVHaSkpLQokUL4+v111+3W7/w7wp/34ioLMnKugNEVD6lpKTg999/BwDExsaaHNu1axe6\\\n",
       "du0KALh8+TIyMjKMxwYOHIjbt29j2rRpSEtLQ2xsLLZu3Wqy0MzcuXMhkUjQv39/qNVqxMfHWzwj\\\n",
       "Rvfl5uYCALKzs/Hmm29i4sSJKCgogFKptKgbGBgIQRDK/MvlY489ZjKlc9myZRZ1OnbsCD8/P8TG\\\n",
       "xpqEwwft3bsX/v7+VqeHmk85flB0dDR27dqF5557DoMGDcJnn31mMYLTu3dvaLVaKBQKpz+v5557\\\n",
       "Ds8995xT51gjlUrx5ptvom3btnjnnXdw+fLlIuur1WqTRXiqVKnCrSRKiDMjf4X1dDqdyaq7J0+e\\\n",
       "xLx58+yeM3LkyOJ1lIiomBgIiciq2rVrO/RF+erVqxZlY8eOxdixY22e4+XlhQULFmDBggXF6aJH\\\n",
       "EkUR1apVQ1ZWltXjMpnM7nN8xSUIAhYtWoSnn34ar7zyCn799VeLOmq12uR9165drY7o5ebmYv/+\\\n",
       "/XavZ+tZwaJG47p27YrU1FS7dWQyGfbv34+OHTvarVcS5HI58vPzIZPd/2e4f//+aNWqFRITE22e\\\n",
       "k5uba7EiqyAIkEgkNkeOyXWuBEKZTIaYmBhjua0poQ/+QOe7774rRi+JiIqPgZCIqIKxt+VGSS5Q\\\n",
       "IZVKodFojHv+/fLLL3j88cfx119/WdQVRdHYlz59+pRYn4rL3nOrJenPP/80hsFCq1atQqNGjazW\\\n",
       "l0ql8PLysnqsSpUqJqP05B6uBMKYmBicOHGiyPoPTrs3v4YgCPj111/x9NNPO9FbIiLX8RlCIqIK\\\n",
       "qLSeV3vQhg0bLDaAtzZCCJh+ybW10ExxuCv4ltUKj9ZGJe0t2hQYGGjzWIMGDdzSJzJVkovKtGvX\\\n",
       "zu5xhkEiKk0cISQiKsecfb7NfLpmSfPx8SmyjxKJpMyfa7SnvPQtNDTUpb4UNe2WXOPKCKGjDh8+\\\n",
       "bLON8vLnkYg8B0cIiYiIiIiIPBRHCImIiIjMlOQIoTUcGSSissJASERERGSmtAMhEVFZYSAkIiIi\\\n",
       "MsNASESegoGQiIiIyAwDIRF5CgZCIiIiIjMMhETkKbjKKBERERERkYfiCCERERGRGY4QEpGnYCAk\\\n",
       "IiIiMsNASESegoGQiIiIyAwDIRF5CgZCIiIiIjMMhETkKRgIiYiIiKxg0CMiT8BVRomIiIiIiDwU\\\n",
       "RwiJiIiIzHDKKBF5CgZCIiIiIjMMhETkKRgIiYiIiMwwEBKRp2AgJCIiIjLDQEhEnoKBkIiIiMgM\\\n",
       "AyEReQoGQiIiIiIzDIRE5Cm47QQREREREZGH4gghERERkRmOEBKRp2AgJCIiIjLDQEhEnoKBkIiI\\\n",
       "iMgMAyEReQoGQiIiIiIzDIRE5CkYCImIiIjMMBASkafgKqNEREREREQeiiOERERERGY4QkhEnoKB\\\n",
       "kIiIiMgMAyEReQoGQiIiIiIzDIRE5CkYCImIiIjMMBASkadgICQiIiIyw0BIRJ6Cq4wSERERERF5\\\n",
       "KI4QEhEREZnhCCEReQoGQiIiIiIrGPSIyBMwEBIRERGZ4QghEXkKBkIiIiIiMwyEROQpGAiJiIiI\\\n",
       "zDAQEpGnYCAkIiIiMsNASESegttOEBEREREReSiOEBIRERGZ4QghEXkKBkIiIiIiMwyEROQpGAiJ\\\n",
       "iIiIzDAQEpGnYCAkIiIiMsNASESegoGQiIiIyAwDIRF5Cq4ySkRERERE5KE4QkhERERkpiRHCG3V\\\n",
       "F0XRqXaIiNyBI4REREREZgoDoaMvd4iPj3dLO0REzmAgJCIiIjJTkoFQFEWTV9WqVQEAf//9d0nc\\\n",
       "ChGRXZwySkSV3owZM8q6C0RUwbgyZTQpKQktWrQwlnfu3Bnz5s0r8vw7d+641kkiIjdgICQiIiIy\\\n",
       "40og1Ol0OHnypLH85MmTRQbCo0ePGp8d5DOERFQWGAiJiIiI3EAmkyEmJsb4vnPnzkWe065dOwCA\\\n",
       "UqkssX4REdnDQEhERERkxpURwpiYGJw4ccKpawCAVCqFSqVyvpNERG7ARWWIyCGjR4+GIAj48ssv\\\n",
       "i6y7YMEC1K5dG15eXmjXrh2OHj1qclylUmHMmDEICQmBn58f+vfvj1u3bpVQz4mInFeSi8qkpKSY\\\n",
       "nKPT6dzdfSIihzEQElGRfvvtNxw+fBiRkZFF1l27di0mTJiA6dOnIzExEc2bN0d8fDzS09ONdd54\\\n",
       "4w1s2rQJ69evx549e5Camop+/fqV5C0QETmlJANhjRo1jL/29/dHQEAAAgICMGjQIHffBhFRkRgI\\\n",
       "iciulJQUvPbaa1i1ahXkcnmR9b/44gu89NJLGDFiBBo3bozFixfDx8cHS5cuBQBkZWXh+++/xxdf\\\n",
       "fIFu3bqhVatWWLZsGQ4ePIjDhw+X9O0QETmsNPYgzMnJMb7WrFnjpp4TETmOgZCIbDIYDBg6dCje\\\n",
       "eustNGnSpMj6Go0GCQkJiIuLM5ZJJBLExcXh0KFDAICEhARotVqTOg0bNkRUVJSxDhFRWSvNfQgf\\\n",
       "fBERlTYuKkNENn388ceQyWQYN26cQ/UzMjKg1+sRFhZmUh4WFobz588DANLS0qBQKBAUFGRRJy0t\\\n",
       "zWbbarUaarXa+D47O9vBuyAiIiIiWzhCSEQAgFWrVsHPz8/42rNnD+bNm4fly5cXe0qUO8yZMweB\\\n",
       "gYHGV82aNcu6S0RUiZXkCCERUXnCQEhEAIDevXvj5MmTxtfBgweRnp6OqKgoyGQyyGQyXLt2DW++\\\n",
       "+SZq165ttY2qVatCKpVarBh669YthIeHAwDCw8Oh0WiQmZlps441kyZNQlZWlvGVnJxcrPslIrKH\\\n",
       "gZCIPAWnjBIRgPsr3fn7+xvfjxo1Ck899ZRJnfj4eAwdOhQjRoyw2oZCoUCrVq2wY8cO9O3bF8D9\\\n",
       "5xB37NiBsWPHAgBatWoFuVyOHTt2oH///gCACxcu4Pr162jfvr3N/imVSm7cTESlxpV9CImIKiIG\\\n",
       "QiKyKiQkBCEhISZlcrkc4eHhaNCggbGse/fuePrpp42Bb8KECXj++efRunVrtG3bFl9++SXy8vKM\\\n",
       "ITIwMBAjR47EhAkTEBwcjICAALz22mto3749Hn744dK7QSIiOxgIichTMBASUbFcvnwZGRkZxvcD\\\n",
       "Bw7E7du3MW3aNKSlpSE2NhZbt241WWhm7ty5kEgk6N+/P9RqNeLj47Fw4cKy6D4RkVUMhETkKRgI\\\n",
       "ichhV69edahs7NixxhFDa7y8vLBgwQIsWLDAjb0jInIfBkIi8hRcVIaIiIiIiMhDcYSQiIiIyAxH\\\n",
       "CInIUzAQEhEREZlhICQiT8FASERERGSGgZCIPAUDIREREZEZBkIi8hQMhERERERmGAiJyFNwlVEi\\\n",
       "IiIiIiIPxRFCIiIiIjMcISQiT8FASERERGSGgZCIPAUDIREREZEZBkIi8hQMhERERERmGAiJyFMw\\\n",
       "EBIRERGZYSAkIk/BVUaJiIiIiIg8FEcIiahCEkWxrLtAROVccf4/kZOT4/DIX05OjsvXISIqawyE\\\n",
       "RFQh5eTkYMaMGWXdDSIqx3JychAYGOjUOa1atcLJkydRs2ZNp6/XqlUrp88hIiprgsgfsxNRBWQw\\\n",
       "GJCamgp/f3+Pfn4nOzsbNWvWRHJyMgICAsq6O2WGn8N9/BzuE0UROTk5iIyMhETi/NMxL774IhIS\\\n",
       "Epw6p1WrVvjuu++cvhYRUVljICQiqsCys7MRGBiIrKwsjw4A/Bzu4+dARETO4qIyREREREREHoqB\\\n",
       "kIiIiIiIyEMxEBIRVWBKpRLTp0+HUqks666UKX4O9/FzICIiZ/EZQiIiIiIiIg/FEUIiIiIiIiIP\\\n",
       "xUBIRERERETkoRgIiYiIiIiIPBQDIRFROaLVavHOO++gadOm8PX1RWRkJIYNG4bU1NQiz12wYAFq\\\n",
       "164NLy8vtGvXDkePHjU5rlKpMGbMGISEhMDPzw/9+/fHrVu3SupWiqWoezG3fv16NGzYEF5eXmja\\\n",
       "tCm2bNliclwURUybNg0RERHw9vZGXFwcLl68WJK3UGxz5sxBmzZt4O/vj2rVqqFv3764cOFCkedV\\\n",
       "xs+CiIhKDgMhEVE5kp+fj8TEREydOhWJiYn49ddfceHCBfTu3dvueWvXrsWECRMwffp0JCYmonnz\\\n",
       "5oiPj0d6erqxzhtvvIFNmzZh/fr12LNnD1JTU9GvX7+SviWnOXIvDzp48CAGDRqEkSNH4sSJE+jb\\\n",
       "ty/69u2LpKQkY51PPvkEX331FRYvXowjR47A19cX8fHxUKlUpXVbTtuzZw/GjBmDw4cPY9u2bdBq\\\n",
       "tejRowfy8vJsnlNZPwsiIipBIhERlWtHjx4VAYjXrl2zWadt27bimDFjjO/1er0YGRkpzpkzRxRF\\\n",
       "UczMzBTlcrm4fv16Y51z586JAMRDhw6VXOddUNS9mHv22WfFnj17mpS1a9dOfPnll0VRFEWDwSCG\\\n",
       "h4eLn376qfF4ZmamqFQqxdWrV5fAHZSM9PR0EYC4Z88em3U85bMgIiL34QghEVE5l5WVBUEQEBQU\\\n",
       "ZPW4RqNBQkIC4uLijGUSiQRxcXE4dOgQACAhIQFardakTsOGDREVFWWsUx44ci/mDh06ZFIfAOLj\\\n",
       "4431r1y5grS0NJM6gYGBaNeuXbm696JkZWUBAIKDg23W8ZTPgoiI3IeBkIioHFOpVHjnnXcwaNAg\\\n",
       "BAQEWK2TkZEBvV6PsLAwk/KwsDCkpaUBANLS0qBQKCxC5YN1ygNH7sVcWlpakfdeWOZom+WNwWDA\\\n",
       "+PHj0bFjR8TExNis5wmfBRERuRcDIRFRGVq1ahX8/PyMr3379hmPabVaPPvssxBFEYsWLSrDXlJZ\\\n",
       "GzNmDJKSkrBmzZqy7goREVUysrLuABGRJ+vduzfatWtnfF+9enUA/x8Gr127hp07d9ocHQSAqlWr\\\n",
       "QiqVWqwYeuvWLYSHhwMAwsPDodFokJmZaTJK+GCd8sCRezEXHh5e5L0XlkVERJjUiY2NdWPvS8bY\\\n",
       "sWPxxx9/YO/evahRo4bdupX9syAiIvfjCCERURny9/dH3bp1jS9vb29jGLx48SK2b9+OkJAQu20o\\\n",
       "FAq0atUKO3bsMJYZDAbs2LED7du3BwC0atUKcrncpM6FCxdw/fp1Y53ywJF7Mde+fXuT+gCwbds2\\\n",
       "Y/3o6GiEh4eb1MnOzsaRI0fK1b2bE0URY8eOxW+//YadO3ciOjq6yHMq62dBREQlqKxXtSEiov+n\\\n",
       "0WjE3r17izVq1BBPnjwp3rx50/hSq9XGet26dRO//vpr4/s1a9aISqVSXL58uXj27Flx1KhRYlBQ\\\n",
       "kJiWlmasM3r0aDEqKkrcuXOnePz4cbF9+/Zi+/btS/X+HFHUvQwdOlR89913jfUPHDggymQy8bPP\\\n",
       "PhPPnTsnTp8+XZTL5eLp06eNdT766CMxKChI3Lhxo/jPP/+Iffr0EaOjo8WCgoJSvz9HvfLKK2Jg\\\n",
       "YKC4e/dukz8H+fn5xjqe8lkQEVHJYSAkIipHrly5IgKw+tq1a5exXq1atcTp06ebnPv111+LUVFR\\\n",
       "okKhENu2bSsePnzY5HhBQYH46quvilWqVBF9fHzEp59+Wrx582Yp3JXz7N1Lly5dxOeff96k/rp1\\\n",
       "68T69euLCoVCbNKkibh582aT4waDQZw6daoYFhYmKpVKsXv37uKFCxdK41ZcZuvPwbJly4x1POWz\\\n",
       "ICKikiOIoiiWzdgkERERERERlSU+Q0hEREREROShGAiJiIiIiIg8FAMhERERERGRh2IgJCIiIiIi\\\n",
       "8lAMhERERERERB6KgZCIiIiIiMhDMRASERERERF5KAZCIiIiIiIiD8VASEREFcL333+PHj16lPh1\\\n",
       "tm7ditjYWBgMhhK/FhERUVljICQionJPpVJh6tSpmD59eolf6/HHH4dcLseqVatK/FpERERljYGQ\\\n",
       "iIjKvZ9//hkBAQHo2LFjqVxv+PDh+Oqrr0rlWkRERGWJgZCIiErN7du3ER4ejtmzZxvLDh48CIVC\\\n",
       "gR07dtg8b82aNXjqqadMyrp27Yrx48eblPXt2xfDhw83vq9duzY+/PBDDBs2DH5+fqhVqxZ+//13\\\n",
       "3L59G3369IGfnx+aNWuG48ePm7Tz1FNP4fjx47h8+bLrN0tERFQBMBASEVGpCQ0NxdKlS/H+++/j\\\n",
       "+PHjyMnJwdChQzF27Fh0797d5nn79+9H69atXbrm3Llz0bFjR5w4cQI9e/bE0KFDMWzYMAwZMgSJ\\\n",
       "iYmoU6cOhg0bBlEUjedERUUhLCwM+/btc+maREREFQUDIRERlaonn3wSL730EgYPHozRo0fD19cX\\\n",
       "c+bMsVk/MzMTWVlZiIyMdPl6L7/8MurVq4dp06YhOzsbbdq0wYABA1C/fn288847OHfuHG7dumVy\\\n",
       "XmRkJK5du+bSNYmIiCoKBkIiIip1n332GXQ6HdavX49Vq1ZBqVTarFtQUAAA8PLyculazZo1M/46\\\n",
       "LCwMANC0aVOLsvT0dJPzvL29kZ+f79I1iYiIKgoGQiIiKnWXL19GamoqDAYDrl69arduSEgIBEHA\\\n",
       "vXv3imxXr9dblMnlcuOvBUGwWWa+zcTdu3cRGhpa5DWJiIgqMgZCIiIqVRqNBkOGDMHAgQPxwQcf\\\n",
       "4MUXX7QYnXuQQqFA48aNcfbsWYtj5tM8//vvP7f0UaVS4fLly2jRooVb2iMiIiqvGAiJiKhUTZ48\\\n",
       "GVlZWfjqq6/wzjvvoH79+njhhRfsnhMfH4/9+/dblG/cuBG//vorLl++jFmzZuHs2bO4du0aUlJS\\\n",
       "itXHw4cPQ6lUon379sVqh4iIqLxjICQiolKze/dufPnll1i5ciUCAgIgkUiwcuVK7Nu3D4sWLbJ5\\\n",
       "3siRI7FlyxZkZWWZlPfs2ROffPIJGjdujL1792LhwoU4evQoVq5cWax+rl69GoMHD4aPj0+x2iEi\\\n",
       "IirvBPHBdbaJiIjKqQEDBqBly5aYNGkSgPv7EMbGxuLLL79063UyMjLQoEEDHD9+HNHR0W5tm4iI\\\n",
       "qLzhCCEREVUIn376Kfz8/Er8OlevXsXChQsZBomIyCNwhJCIiCqkkhohJCIi8iQMhERERERERB6K\\\n",
       "U0aJiIiIiIg8FAMhERERERGRh2IgJCIiIiIi8lAMhERERERERB6KgZCIiIiIiMhDMRASERERERF5\\\n",
       "KAZCIiIiIiIiD8VASERERERE5KEYCImIiIiIiDwUAyEREREREZGHYiAkIiIiIiLyUAyERERERERE\\\n",
       "HoqBkIiIiIiIyEMxEBIREREREXmo/wMo0KKFneJIWgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[26] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAfCpJREFUeJzt3Xd4VMXCBvD37GZ30xMSQhq9t4QORkQUovGKFEFArlQp0lTE\\\n",
       "gtwrIOgVBSmiFFERQQSMBVGKIFUIvfcuAZJAAqQnW8/3B0/Ox9bsbnbT9v09zz6yc+bMmbOA7JuZ\\\n",
       "MyOIoiiCiIiIiIiIPI6srDtAREREREREZYOBkIiIiIiIyEMxEBIREREREXkoBkIiIiIiIiIPxUBI\\\n",
       "RERERETkoRgIiYiIiIiIPBQDIRERERERkYdiICQiIiIiIvJQDIREREREREQeioGQiIiIiIjIQzEQ\\\n",
       "EhEREREReSgGQiIiIiIiIg/FQEhEREREROShGAiJiIiIiIg8FAMhERE5ZefOnRAEATt37izrrpCL\\\n",
       "HTx4EEqlEtevXy/1a9+9exd+fn7YuHFjqV+biMgTMRASEZFNixYtwvLly8u6G0754YcfMH/+/LLu\\\n",
       "BgDAYDBg1qxZqFOnDry9vREbG4vVq1fbfX5mZiZGjRqFsLAw+Pn54cknn8TRo0fN6q1duxYDBw5E\\\n",
       "gwYNIAgCnnjiCYf7+t///hcDBgxArVq1HD63pEJDQzFixAhMmTKl1K9NROSJBFEUxbLuBBERlV/N\\\n",
       "mzdH1apVzUYCDQYDNBoNlEolZLLy+fPF5557DqdPn8Y///xT1l3B5MmT8fHHH2PkyJFo164dfvvt\\\n",
       "N2zYsAGrV6/Giy++aPNcg8GATp064cSJE3j77bdRtWpVLFq0CDdu3MCRI0fQoEEDqe4TTzyBI0eO\\\n",
       "oF27djh+/DhiY2MdGsU9fvw4WrVqhaSkJMTFxTl7uyVy7tw5NG3aFNu2bUOXLl3KpA9ERJ6CgZCI\\\n",
       "yA55eXnw8/Mr626UCWuBsCIoL4Hw1q1bqFOnDkaNGoUvvvgCACCKIjp37oxr167hn3/+gVwut3r+\\\n",
       "jz/+iP79+yMxMREvvPACACA9PR0NGzbEv/71L/zwww9S3Rs3biA6Ohoymcyp37vXX38d69atwz//\\\n",
       "/ANBEJy7YReIiYlBq1atsGLFijLrAxGRJyifP9IlInKjW7duYfjw4YiKioJKpUKdOnUwZswYaDQa\\\n",
       "AMDy5cshCAJ27dqFsWPHolq1aqhevbp0/qJFi9CsWTOoVCpERUVh3LhxyMzMNLrGpUuX0KdPH0RE\\\n",
       "RMDb2xvVq1fHiy++iKysLKnO1q1b8dhjjyE4OBj+/v5o1KgR/vOf/xTbf3vOU6vVmDZtGurXrw+V\\\n",
       "SoUaNWrgnXfegVqtNmvv+++/R/v27eHr64sqVarg8ccfx5YtWwAAtWvXxpkzZ7Br1y4IgmA0BdHa\\\n",
       "M4SJiYlo06YNfHx8ULVqVQwcOBC3bt0yqjN06FD4+/vj1q1b6NWrF/z9/REWFoa33noLer2+2M/g\\\n",
       "t99+Q7du3aTfw3r16uGDDz4wOveJJ57Ahg0bcP36danvtWvXttrm0KFDpXqmr/fff7/YPhXXX61W\\\n",
       "i7Fjx0plgiBgzJgxuHnzJvbt22fz/J9++gnh4eHo3bu3VBYWFoZ+/frht99+M/p9rVGjRolGbNet\\\n",
       "W4cuXbqYhUFrn0Pt2rUxdOhQ6X3R3589e/bgtddeQ1hYGIKDg/HKK69Ao9EgMzMTgwcPRpUqVVCl\\\n",
       "ShW88847sPSz6aeeegq///67xWNEROQ6XmXdASKi0pSSkoL27dtLz2M1btwYt27dwk8//YT8/Hwo\\\n",
       "lUqp7tixYxEWFoapU6ciLy8PAPD+++9j+vTpiI+Px5gxY3DhwgUsXrwYhw4dwt69e6FQKKDRaJCQ\\\n",
       "kAC1Wo1XX30VERERuHXrFv744w9kZmYiKCgIZ86cwXPPPYfY2FjMmDEDKpUKly9fxt69e232357z\\\n",
       "DAYDevTogT179mDUqFFo0qQJTp06hXnz5uHixYtYt26dVHf69Ol4//338eijj2LGjBlQKpU4cOAA\\\n",
       "tm/fjqeffhrz58/Hq6++Cn9/f/z3v/8FAISHh1vt3/LlyzFs2DC0a9cOM2fOxO3bt/HZZ59h7969\\\n",
       "OHbsGIKDg6W6er0eCQkJ6NChAz799FP89ddfmDNnDurVq4cxY8bY/ByWL18Of39/TJw4Ef7+/ti+\\\n",
       "fTumTp2K7OxszJ49G8CD5+CysrJw8+ZNzJs3DwDg7+9vtc1XXnkF8fHxRmWbN2/GqlWrUK1aNaks\\\n",
       "IyPDZt+KBAQEQKVSAQCOHTsGPz8/NGnSxKhO+/btpeOPPfaY1baOHTuG1q1bmwW99u3bY+nSpbh4\\\n",
       "8SJiYmLs6pctt27dQnJyMlq3bl3itor+7E+fPh379+/H0qVLERwcjKSkJNSsWRMfffQRNm7ciNmz\\\n",
       "Z6N58+YYPHiw0flt2rTBvHnzcObMGTRv3rzE/SEiIitEIiIPMnjwYFEmk4mHDh0yO2YwGERRFMVv\\\n",
       "v/1WBCA+9thjok6nk47fuXNHVCqV4tNPPy3q9Xqp/IsvvhABiMuWLRNFURSPHTsmAhATExOt9mPe\\\n",
       "vHkiADE9Pd2h/ttz3sqVK0WZTCb+/fffRuVLliwRAYh79+4VRVEUL126JMpkMvH55583uh9R/P/P\\\n",
       "QhRFsVmzZmLnzp3NrrNjxw4RgLhjxw5RFEVRo9GI1apVE5s3by4WFBRI9f744w8RgDh16lSpbMiQ\\\n",
       "ISIAccaMGUZttmrVSmzTpo3tD0EUxfz8fLOyV155RfT19RULCwulsm7duom1atUqtj1LLl26JAYF\\\n",
       "BYlPPfWU0Z8DAHa9vv32W6N+1K1b1+waeXl5IgDx3XfftdkXPz8/8eWXXzYr37BhgwhA3Lx5s8Xz\\\n",
       "rP3eWfPXX3+JAMTff//d7BgAcdq0aWbltWrVEocMGSK9L/r7k5CQYPTnKC4uThQEQRw9erRUptPp\\\n",
       "xOrVq1vsY1JSkghAXLt2rd39JyIix3HKKBF5DIPBgHXr1qF79+5o27at2XHTKXIjR440eq7rr7/+\\\n",
       "gkajwYQJE4xGakaOHInAwEBs2LABABAUFAQA+PPPP5Gfn2+xL0UjZb/99hsMBoPd92DPeYmJiWjS\\\n",
       "pAkaN26MjIwM6VW0OMeOHTsAPJgaaDAYMHXqVLORJ2eeHTt8+DDu3LmDsWPHwtvbWyrv1q0bGjdu\\\n",
       "LH0+Dxs9erTR+06dOuHq1avFXsvHx0f6dU5ODjIyMtCpUyfk5+fj/PnzDvfdVF5eHp5//nlUqVIF\\\n",
       "q1evNvpzsHXrVrteCQkJ0jkFBQXSaOHDij6ngoICm/0p6fn2unv3LgCgSpUqJW5r+PDhRn+OOnTo\\\n",
       "AFEUMXz4cKlMLpejbdu2Fn/Pi/pg74gsERE5h1NGichjpKenIzs72+7pZ3Xq1DF6X7QnW6NGjYzK\\\n",
       "lUol6tatKx2vU6cOJk6ciLlz52LVqlXo1KkTevTogYEDB0phsX///vj6668xYsQIvPvuu+jatSt6\\\n",
       "9+6NF154webzX/acd+nSJZw7dw5hYWEW27hz5w4A4MqVK5DJZGjatKldn0dxrH0+ANC4cWPs2bPH\\\n",
       "qMzb29usj1WqVMH9+/eLvdaZM2fw3nvvYfv27cjOzjY69vBzms4aOXIkrly5gqSkJISGhhodM51W\\\n",
       "ag8fHx+Lz28WFhZKx915vqNEFzy3V7NmTaP3RX/2a9SoYVZu6fe8qA9lubANEZEnYCAkIrKiJF+y\\\n",
       "58yZg6FDh+K3337Dli1b8Nprr2HmzJnYv38/qlevDh8fH+zevRs7duzAhg0bsHnzZqxduxZdunTB\\\n",
       "li1brK44ac95BoMBMTExmDt3rsU2TL+QlxVbq2rakpmZic6dOyMwMBAzZsxAvXr14O3tjaNHj2LS\\\n",
       "pEkOjbha8tlnn2H16tX4/vvv0bJlS7PjaWlpdrUTFBQk/RmKjIzEjh07IIqiUcBJTU0FAERFRdls\\\n",
       "KzIyUqr7MHvPt1dR+LUnlBexFh6t/f5aKrfURlEfqlatandfiIjIcZwySkQeIywsDIGBgTh9+rRT\\\n",
       "5xdt0n3hwgWjco1Gg2vXrplt4h0TE4P33nsPu3fvxt9//41bt25hyZIl0nGZTIauXbti7ty5OHv2\\\n",
       "LP73v/9h+/bt0pROa4o7r169erh37x66du2K+Ph4s1fRCF69evVgMBhw9uxZm9ezd4TG2udTVOaq\\\n",
       "Tc537tyJu3fvYvny5Xj99dfx3HPPIT4+3uI0R0dHl/7++2+89dZbmDBhAl566SWLdSIjI+16rV27\\\n",
       "VjqnZcuWyM/Px7lz54zaOnDggHTclpYtW+Lo0aNmYffAgQPw9fVFw4YNHbpPaxo3bgwAuHbtmsXj\\\n",
       "OTk5ZmVFI86uVtQH04V4iIjItRgIichjyGQy9OrVC7///jsOHz5sdry4aXLx8fFQKpVYsGCBUd1v\\\n",
       "vvkGWVlZ6NatGwAgOzsbOp3O6NyYmBjIZDJp2t+9e/fM2i8KBZamBhax57x+/frh1q1b+Oqrr8zq\\\n",
       "FhQUSCum9urVCzKZDDNmzDALGg/fn5+fn9m2Gpa0bdsW1apVw5IlS4zuYdOmTTh37pz0+ZRU0QjT\\\n",
       "w33UaDRYtGiRWV0/Pz+7p5CmpqaiX79+eOyxx6SVSi1x5hnCnj17QqFQGPVRFEUsWbIE0dHRePTR\\\n",
       "R436cf78eWi1WqnshRdewO3bt/HLL79IZRkZGUhMTET37t0tPl/ojOjoaNSoUcPi3w8AZluMbNq0\\\n",
       "CYWFhW7ZGuLIkSMICgpCs2bNXN42ERH9P04ZJSKP8tFHH2HLli3o3LmztCVDamoqEhMTsWfPHqNt\\\n",
       "EUyFhYVh8uTJmD59Op555hn06NEDFy5cwKJFi9CuXTsMHDgQALB9+3aMHz8effv2RcOGDaHT6bBy\\\n",
       "5UrI5XL06dMHADBjxgzs3r0b3bp1Q61atXDnzh0sWrQI1atXt7n9gD3nDRo0CD/++CNGjx6NHTt2\\\n",
       "oGPHjtDr9Th//jx+/PFH/Pnnn2jbti3q16+P//73v/jggw/QqVMn9O7dGyqVCocOHUJUVBRmzpwJ\\\n",
       "4MHy/4sXL8aHH36I+vXro1q1atICNQ9TKBT45JNPMGzYMHTu3BkDBgyQtp2oXbs23njjDWd/24w8\\\n",
       "+uijqFKlCoYMGYLXXnsNgiBg5cqVFkNJmzZtsHbtWkycOBHt2rWDv78/unfvbrHd1157Denp6Xjn\\\n",
       "nXewZs0ao2OxsbGIjY0F4NwzhNWrV8eECRMwe/ZsaLVatGvXDuvWrcPff/+NVatWGU2jnDx5Mr77\\\n",
       "7jtcu3ZN2jfxhRdewCOPPIJhw4bh7NmzqFq1KhYtWgS9Xo/p06cbXWv37t3YvXs3gAfPzebl5eHD\\\n",
       "Dz8EADz++ON4/PHHbfa1Z8+e+PXXX82mtwLAuXPn8Oyzz6JHjx5ISUnBZ599hqCgICQlJWH16tUY\\\n",
       "MGCAw5+NNVu3bkX37t35DCERkbuVxdKmRERl6fr16+LgwYPFsLAwUaVSiXXr1hXHjRsnqtVqURT/\\\n",
       "f9l8S1tTiOKDbSYaN24sKhQKMTw8XBwzZox4//596fjVq1fFl19+WaxXr57o7e0thoSEiE8++aT4\\\n",
       "119/SXW2bdsm9uzZU4yKihKVSqUYFRUlDhgwQLx48aLNvtt7nkajET/55BOxWbNmokqlEqtUqSK2\\\n",
       "adNGnD59upiVlWVUd9myZWKrVq2kep07dxa3bt0qHU9LSxO7desmBgQEiACkLQJMt50osnbtWqm9\\\n",
       "kJAQ8aWXXhJv3rxpVGfIkCGin5+f2f1NmzZNtOefpr1794qPPPKI6OPjI0ZFRYnvvPOO+Oeff5r1\\\n",
       "Jzc3V/z3v/8tBgcHiwBsbkHRuXNnq1tIWNpuwVF6vV786KOPxFq1aolKpVJs1qyZ+P3335vVK9qS\\\n",
       "49q1a0bl9+7dE4cPHy6GhoaKvr6+YufOnS3+GS36DJ29j6NHj4oAzLYtASBOnDhR7Nu3r+jj4yNG\\\n",
       "RkaKX3zxhbhkyRLR19dXHDFihCiK1v/+FPXLdMsUS38Wzp07JwIw+jtDRETuIYiiG+Z5EBERUYXV\\\n",
       "tWtXREVFYeXKlVKZIAiYNm0a3n//fbdff8KECdi9ezeOHDnCEUIiIjfjM4RERERk5KOPPsLatWul\\\n",
       "rURK0927d/H111/jww8/ZBgkIioFfIaQiIiIjHTo0AEajaZMrh0aGorc3NwyuTYRkSfiCCERERER\\\n",
       "EZGH4gghERERFYtLDhARVU4cISQiIiIiIvJQDIREREREREQeilNGiahCMhgMSElJQUBAAFciJCIj\\\n",
       "oigiJycHUVFRkMkc/9n30KFDcfToUYfOad26NZYvX+7wtYiIyhoDIRFVSCkpKfj666/LuhtEVE5N\\\n",
       "nz4dN27cQPXq1R06b+jQofjuu+8cvt6pU6cAgKGQiCocBkIiqpACAgIAgKODRGRV0f8nHOHoyKCz\\\n",
       "51r6f1fRwj2zZs3CpEmTzI57e3ujoKDA6f4REVnCQEhEFRKDIBEVp6T/n7D3fFevwPrtt99aLC8s\\\n",
       "LHTpdYiIAAZCIiIiIjOCIDgUKB0NhQ/XN73OuXPnLPYHABQKBbRarUPXIiKyhYGQiIiIyIQzgfDM\\\n",
       "mTOIjY2Vyjp16oSFCxe6tF9NmjRxaXtERAyERERERCYcDYTAg9WPixaXAR4sNOOKQDh06FDp1ydP\\\n",
       "nixxe0RED2MgJCIiIjLhTCCUyWRo1qyZ9L5Tp04l7sesWbOkVU9jYmJK3B4RkSkGQiIiIiITzgTC\\\n",
       "Zs2auXQE7+HVRsPDwzk6SERu4fhurURERETkVg+HwZCQEKSlpZVxj4iosmIgJCIiIjJRNEJo78tR\\\n",
       "HTt2NDtXEAQoFAqzfQjVajX8/f3h7++P//znPy65PyKiIgyERERERCbcHQiTkpIslut0OkyePNmo\\\n",
       "LC8vT3rNnDnTqfshIrKGzxASERERmXA26NnL1ZvZExE5i4GQiIiIyIS7AyERUXnBQEhERERkgoGQ\\\n",
       "iDwFnyEkIiIiIiLyUBwhJCIiIjLBEUIi8hQcISQiu3388ccQBAETJkywWS8xMRGNGzeGt7c3YmJi\\\n",
       "sHHjRqPjoihi6tSpiIyMhI+PD+Lj43Hp0iU39pyIyDHuXmWUiKi8YCAkIrscOnQIX375JWJjY23W\\\n",
       "S0pKwoABAzB8+HAcO3YMvXr1Qq9evXD69GmpzqxZs7BgwQIsWbIEBw4cgJ+fHxISElBYWOju2yAi\\\n",
       "sgsDIRF5CgZCIipWbm4uXnrpJXz11VeoUqWKzbqfffYZnnnmGbz99tto0qQJPvjgA7Ru3RpffPEF\\\n",
       "gAejg/Pnz8d7772Hnj17IjY2FitWrEBKSgrWrVtXCndDRFQ8BkIi8hQMhERUrHHjxqFbt26Ij48v\\\n",
       "tu6+ffvM6iUkJGDfvn0AgGvXriEtLc2oTlBQEDp06CDVsUStViM7O9voRUTkLgyEROQpGAiJyKY1\\\n",
       "a9bg6NGjmDlzpl3109LSEB4eblQWHh6OtLQ06XhRmbU6lsycORNBQUHSq0aNGo7cBhERERFZwEBI\\\n",
       "RFbduHEDr7/+OlatWgVvb+8y7cvkyZORlZUlvW7cuFGm/SGiyo0jhETkKbjtBBFZdeTIEdy5cwet\\\n",
       "W7eWyvR6PXbv3o0vvvgCarUacrnc6JyIiAjcvn3bqOz27duIiIiQjheVRUZGGtVp2bKl1b6oVCqo\\\n",
       "VKqS3hIRkV0Y9IjIU3CEkIis6tq1K06dOoXjx49Lr7Zt2+Kll17C8ePHzcIgAMTFxWHbtm1GZVu3\\\n",
       "bkVcXBwAoE6dOoiIiDCqk52djQMHDkh1iIjKA44OEpEn4AghEVkVEBCA5s2bG5X5+fkhNDRUKh88\\\n",
       "eDCio6OlZwxff/11dO7cGXPmzEG3bt2wZs0aHD58GEuXLgUAaR/DDz/8EA0aNECdOnUwZcoUREVF\\\n",
       "oVevXqV6f0RE1jgS9hgKiagiYyAkohJJTk6GTPb/kw0effRR/PDDD3jvvffwn//8Bw0aNMC6deuM\\\n",
       "guU777yDvLw8jBo1CpmZmXjsscewefPmMn9OkYioCAMhEXkKQRRFsaw7QUTkqOzsbMydO5dfxIjI\\\n",
       "ovfffx9ZWVkIDAx06LzY2FicOnUKVatWNfphly0GgwEZGRmIiYnByZMnnekuEVGZ4TOERERERERE\\\n",
       "HopTRomIiIhMcMooEXkKBkIiIiIiEwyEROQpGAiJqNKbNm1aWXeBiFxo+vTpbr8GAyEReQoGQiIi\\\n",
       "IiITDIRE5CkYCImIiIhMMBASkafgKqNEREREREQeiiOERERERCY4QkhEnoKBkIiIiMgEAyEReQoG\\\n",
       "QiIiIiITDIRE5CkYCImIiIhMMBASkadgICQiIiIywUBIRJ6Cq4wSERERERF5KI4QEhEREZngCCER\\\n",
       "eQoGQiIiIiITDIRE5CkYCImIiIhMMBASkadgICQiIiIywUBIRJ6CgZCIiIjIAgY9IvIEXGWUiIiI\\\n",
       "iIjIQ3GEkIiIiMgEp4wSkadgICQiIiIywUBIRJ6CgZCIiIjIBAMhEXkKBkIiIiIiEwyEROQpGAiJ\\\n",
       "iIiITDAQEpGnYCAkIiIiMsFASESegttOEBEREREReSiOEBIRERGZ4AghEXkKBkIiIiIiEwyEROQp\\\n",
       "OGWUiIiIyERRILT35Yr2H3bz5k2XXIeIqDgMhEREREQm3B0Ii1OjRg2L5UOHDnX5tYjIszEQEhER\\\n",
       "EZlwdyAURVF6mbp586ZZvcaNGwMAvvvuO+dviojIAgZCIiIionKkZs2aZmXnzp0rg54QkSfgojJE\\\n",
       "REREJpxZVObMmTOIjY2Vyjt16oSFCxc6fO2iUUMfHx+HzyUichQDIREREZEJZwKhwWDAqVOnpPJT\\\n",
       "p045FQiJiEoTAyERERGRCWcCoUwmQ7NmzaTyTp06OX1tURRRUFDg1PlERI5gICQiIiIy4UwgbNas\\\n",
       "GU6ePFniaycnJ5utMvrwVFQiIldiICQiIiIy4e6N6Tt27IikpCSzdry8vKDVaq22PWTIEIevRURk\\\n",
       "C1cZJSIiIiplpmGwiE6nAwDcuHHD4vHly5e7q0tE5KE4QkhERERkwt0jhJb2H3xY9erVi61DROQK\\\n",
       "DIREREREFjgT9IiIKhoGQiIiIiIT7h4hJCIqLxgIiYiIiEwwEBKRp2AgJCIiIjLBQEhEnoKBkIiI\\\n",
       "iMgEAyEReQpuO0FEREREROShOEJIREREZIIjhETkKRgIiYiIiEwwEBKRp2AgJCIiIjLBQEhEnoKB\\\n",
       "kIiIiMgEAyEReQoGQiIiIiITDIRE5Cm4yigREREREZGH4gghEVE5ZmnkQRAEGAyGMuhN2UhNTUVU\\\n",
       "VJRT59rzWdWuXRvXr193qv2KSBTFsu5ChcARQiLyFAyEREQVTHBwcFl3oVSVJKz5+voWW+fmzZtO\\\n",
       "t0+VFwMhEXkKBkIiogrG0wLMkSNHnD739OnTNo9rtVro9Xqn26fKi4GQiDwFnyEkIirHir5oCoKA\\\n",
       "gIAAZGVl2TXqVZk0adLEqfM6duyI2rVr26zTuHFjp9qmyq8oENr7IiKqqBgIiciqmTNnol27dggI\\\n",
       "CEC1atXQq1cvXLhwodjzEhMT0bhxY3h7eyMmJgYbN240Oi6KIqZOnYrIyEj4+PggPj4ely5dctdt\\\n",
       "VGgGgwGiKMJgMCA7OxuBgYFl3aVS98QTT1g9dvHiRYiiKL0KCwuRnJwMrVaLPXv22Gz35s2buHr1\\\n",
       "qlN9iouLw/79+xEfH+/U+VT+MRASkadgICQiq3bt2oVx48Zh//792Lp1K7RaLZ5++mnk5eVZPScp\\\n",
       "KQkDBgzA8OHDcezYMfTq1Qu9evUymro3a9YsLFiwAEuWLMGBAwfg5+eHhIQEFBYWlsZtUQUjk8nw\\\n",
       "1VdfGZWFhIRAFEU0aNDAqFylUqFGjRrw8rL9RMS1a9dQo0YNp/pz584dJCUloUOHDti6dSt0Ol25\\\n",
       "CgSCIKBr167o2bNnueoXERGVT3yGkIis2rx5s9H75cuXo1q1ajhy5Agef/xxi+d89tlneOaZZ/D2\\\n",
       "228DAD744ANs3boVX3zxBZYsWQJRFDF//ny899576NmzJwBgxYoVCA8Px7p16/Diiy+696aoQhox\\\n",
       "YgRefvll3L17FyEhIZDL5U61YzAYULNmTdy6dcup85977jmEhYUZlcnlchQWFkKlUjnVpivFxcUh\\\n",
       "KSnJqEylUkGj0ZRRjyouPkNIRJ6CI4REZLesrCwAD0ZnrNm3b5/ZNLqEhATs27cPwIORmbS0NKM6\\\n",
       "QUFB6NChg1THErVajezsbKMXlX/Tp0+XvlgHBQWVqC2ZTIawsDCnw2Dnzp0hl8udDoMAsH79eovl\\\n",
       "SqUSHTt2dLpdV1i8eLFZGASAgoKCMuhNxccpo0TkKRgIicguBoMBEyZMQMeOHdG8eXOr9dLS0hAe\\\n",
       "Hm5UFh4ejrS0NOl4UZm1OpbMnDkTQUFB0svZ6X5Uenr37o33339fep+dnY0nn3yyTPrSpEkT7N69\\\n",
       "u0Rt+Pn52fziv2vXrhK1XxInTpzA6NGjLR6TyWS4ceNGKfeo4mMgJCJPwUBIRHYZN24cTp8+jTVr\\\n",
       "1pTJ9SdPnoysrCzpxS+4rlW0KIurqNVq/Prrr2blf//9t83ztFot7t+/77J+FLl48WKJ2yhuuw+5\\\n",
       "XA4/P78SX8caQRAgl8shk8kgk8mgUCjQs2dP6PV6xMbG2jy3evXquHv3rlv7VxkxDBKRJ2AgJKJi\\\n",
       "jR8/Hn/88Qd27NiB6tWr26wbERGB27dvG5Xdvn0bERER0vGiMmt1LFGpVAgMDDR6kWvcu3cPDRo0\\\n",
       "QO3atZGbm+uSNiMjIy2WK5VKq+e88cYbUCqVCAkJgUKhsOs6OTk5dgXZvn372tWeJTKZDIcOHUJw\\\n",
       "cHCxddPT052+jim5XI4pU6ZAq9VKK83qdDro9Xro9XpoNBqsW7cOMpl9/5SHhIS47PfXE3CEkIg8\\\n",
       "BQMhEVkliiLGjx+PX3/9Fdu3b0edOnWKPScuLg7btm0zKtu6dSvi4uIAAHXq1EFERIRRnezsbBw4\\\n",
       "cECqQ6XrwoULSE9PR3Z2tktWetXr9VZH+dauXWuxvGixoSI6nQ6rVq2yeg2NRgOZTIbAwEB4eXnB\\\n",
       "YDDY7NOaNWuQm5uLn376CX/++Sdu3bqFvLw8qNVqqNVqaDQa6HQ6oy0sil56vR5t27Yt/sYB+Pj4\\\n",
       "4Pz583bVfZhMJkNMTAx++OEH3L17Vwp/M2bMKHbFVCIiopLgvzJEZNW4cePwww8/4LfffkNAQID0\\\n",
       "jF9QUBB8fHwAAIMHD0Z0dDRmzpwJAHj99dfRuXNnzJkzB926dcOaNWtw+PBhLF26FMCDn7pPmDAB\\\n",
       "H374IRo0aIA6depgypQpiIqKQq9evcrkPj1dXFwc0tLSIJPJ7FopMyUlBbVr14ZOp4Ofnx/279+P\\\n",
       "Zs2aAXgQBqtUqWL13O7du1ssz8jIMCv76quv8NJLL1ms7+PjI40MGgwG1K9fH5cuXbK54Iyfnx/6\\\n",
       "9Olj9birNGrUCKIoYvbs2Zg0aZLNEUy5XI6MjAy7Rh+pdHGVUSLyFBwhJCKrFi9ejKysLDzxxBOI\\\n",
       "jIyUXg+P8iQnJyM1NVV6/+ijj+KHH37A0qVL0aJFC/z0009Yt26d0UI077zzDl599VWMGjUK7dq1\\\n",
       "Q25uLjZv3gxvb+9SvT/6fz4+PnaFQVEUUb16dWkaY25uLpo3bw5BECCTyeDl5YWcnByL59qa2mhp\\\n",
       "CvC0adMs1t2wYYPZiOC1a9esboVSVt5++20YDAa0b9/e4vFq1apBp9MxDJZTnDJKRJ6CI4REZJU9\\\n",
       "z2bt3LnTrKxv3742n9kSBAEzZszAjBkzStI9KgNz5861+ueiuD8vBoMBoiha/PKsUqkQFBQkbW2i\\\n",
       "UCisrkj6/PPPWyxPSkpCXl5euVs45cCBA1i8eDHGjh0rlYWFhZk9R1taKkN4mTx5ss3nUV2BI4RE\\\n",
       "5Ck4QkhERHabNGlSic63tRhQZmYmjh07hj179tjcSF2r1Vo95u/vj6lTp0Kv15eon642ZswY5Obm\\\n",
       "Yvjw4Vi2bBnu3LlT1l2iYnCEkIg8BUcIiYjILpmZmSUOWrm5uZDJZNBqtRaf92vZsmWxbSiVSpuB\\\n",
       "8YMPPsAHH3wA4MHKmunp6XavxOlOfn5++Prrrx06p+g+3T0aRuY4QkhEnqLs/4UkIqIKISwszCXt\\\n",
       "iKJYom1DihY3sse9e/fg7+/v9LXKUq1ataBSqaBSqRAVFVXW3fE4HCEkIk/BQEhERMWaO3cudDqd\\\n",
       "y9orKChw+twqVapAp9OhXr16br9WkcLCQty9e7fE7djr9OnTSE5Olt6npqZafaaSiIioJBgIiYio\\\n",
       "WG+++aZL24uNjS3R+XK5HJcvX4YoinjjjTds1i3p6E1YWBh8fHxQtWpVyGQym9NVXWXEiBFmZTt3\\\n",
       "7rQ6OpqRkcFN512MI4RE5CkYCImIyCZXjgwCQO3atXH8+HGXtTd37lwUFhYiPj7e4vHBgwc73fbu\\\n",
       "3buN9kgURRG+vr5Ot2evxx57zGJ5ZGQk1qxZA71ej4KCAjz22GMQBAFhYWEICAgo0b2SMQZCIvIU\\\n",
       "DIRERGSTrc3erdVftGgRbt68icOHD2PixIno3r071q5dC51Oh2vXrrm8jyqVClu3bsXZs2eNvpxH\\\n",
       "RkZi+fLlTrc7e/ZsszK9Xo/z589brH/nzh0olUrIZDIMHz7c6evOmjXL6rEBAwbAy8sLvr6+2Lt3\\\n",
       "r9Gx77//3ulrkjEGQiLyFAyERERkkyAIWLFihV11Z8+eDZ1OhzFjxiA6Ohpt2rTBnDlzsH79evTr\\\n",
       "18/hcOmoJk2awGAwQKPRQKvVIiUlpUTtjRs3zmJ506ZNzcoWLFiA8PBwaLVaiKKIZcuW4fDhwxbP\\\n",
       "F0URMTEx8Pb2xtSpU82Oy2Qyuz9z0/PINRgIichT8F8OIiIq1qBBg1BYWIgmTZpY/PIbGBgIjUaD\\\n",
       "t956qwx6Z06hUMDLq+Q7KyUkJFgsF0URSqUSV65cQWpqKsLCwvD666+b1bM29dPHxwenT5+GWq3G\\\n",
       "Bx98gA4dOpjVGTRoEEaOHOlQf60FUHIcAyEReQoGQiIisotKpcLZs2dhMBhgMBiQk5OD+/fvQ6/X\\\n",
       "IysrCwqFoqy76HKCIOCLL76weEyr1aJ+/fqIiooyes7wYZYWoBFFEWq12qjs4MGDFs9funSpXXsz\\\n",
       "CoKA1NRUu+qKoljhXyqVigGNiMhFGAiJiMhhgiDA398fwcHBlX6a4rhx4xAZGenUua4IJseOHbM5\\\n",
       "2tmnTx8YDAZERESU+Fr0/zhCSESeouTzaYiIiBykVqshCAKUSmVZd8Uuly5dQkBAAERRdOi8Tp06\\\n",
       "mZUJgoC2bdsaTe987733bLZTWFgIhUJhdH2FQoGcnByoVCqH+kT2cSToMRASUUVWuX+sS0RE5Ur/\\\n",
       "/v0hCAK8vb2laX8hISE4deoUDAYDgP+f0lgWrl69CrlcLoWBy5cvA3jwzF+NGjUcaqtZs2bYtm2b\\\n",
       "xWOHDh3CxYsXMXLkSKSnp+ODDz6w2ZZcLodOp8PYsWPRuXNn3LhxAxqNhmHQjThCSESegoGQiIhK\\\n",
       "Re/evfHjjz+ald+/fx+xsbFSEJPJZJDJZBAEAX5+fvj1119LFBBFUcS9e/eg1+tt1rt9+zbq1asn\\\n",
       "BVMAaNCggbQZ/KOPPlrstWrWrIn8/HyIoojTp0/bXFW1QYMGWLp0KapWrWrXfchkMixcuBA7d+5E\\\n",
       "9erV7TqHnMdASESegoGQiIickpOTg+zsbLvq5uXl4ddff3X4Gvn5+ejduzdkMhnkcjmCg4MRHBwM\\\n",
       "hUIBmUwmrdZpTW5uLuRyOUJDQ+Hl5YUnn3zSat2oqCiL5bt27QLwINDasmLFCly/fh0+Pj523BmV\\\n",
       "dwyEROQpGAiJiMgh2dnZ8PLyQmBgIIKCgvDss88We05AQECJr2swGJCVlYWsrCzodDqIoojCwkLE\\\n",
       "xMSge/fuFkcAAwMDjUYXd+7cidDQULN69+/fNxoZfFhRIO3Zs6fVvjVv3hyDBg1y4q6IiIjKFgMh\\\n",
       "ERFZVfQ8n8FgwN27d1GrVi0EBQUZha9NmzbZbMPHx8ftzwT+8ccfZiNzMTExFq977949+Pr6SgHQ\\\n",
       "YDBYnYKZnJwsbaehVCotPkcok8lw6tQpm/3LyclBnz59MGTIELtHValscYSQiDwFAyERERnJzc1F\\\n",
       "aGio9Cxf0XTNqlWrIjk52aG2WrZsicLCQjf11JhWq0X//v2Rn5+PiRMn2pxKWlBQALlcDm9vbygU\\\n",
       "CuTn5xsdFwQB69atMwuAV69eNatnuqegJdWrV8cvv/yCFStWICgoCHK53OyaVP64Kwz+9NNPFtu5\\\n",
       "efOmG+6CiMg2BkIiIg9RWFiIvLw8q1MjRVFE7dq1ERAQgHv37tk9qmftC7Eoijhx4oTT/XXGjz/+\\\n",
       "iKCgIMybN8+u+mq12ujzEAQBe/bsgcFgsDhF1MvLCwUFBejUqRNGjhwJvV5vc4/AIqajggaDAX5+\\\n",
       "ftBqtXb10xV2795tc5EbMubOEcK+fftKv354H09HV7IlInIF7kNIRFTJ3b9/H2FhYUbTPGUyGerV\\\n",
       "q4dBgwYhNzcXX375JbKyspxqPzAw0GJ5aYadh+l0OqfPvX//PoKCgmzW8fb2xu7du52+xsOaNGki\\\n",
       "bW3hTrt27cITTzzh9utUJqWxD+HDP3ThtFMiKisMhERElZgoimZhEHgwQnXp0iVMnTq1xNdo166d\\\n",
       "xXKlUglBEJx+frDoC3Jp7Uno7e1dbBh0VlBQkMXAXVpTBBkGHedMIDxz5gxiY2Ol8k6dOmHhwoU2\\\n",
       "zxNFkWGQiMoUp4wSEZVjt2/ftusZNWsyMjKK3X+vpGxNQ9RoNEYrjHp5ecHb29tompyl9vLz82Ew\\\n",
       "GGAwGLB8+XKb15fJZAgJCYG3t7fDfX/Ym2++WaLzbbEW/EoS1G7dugWFQgG5XI7ExESr9cpqpLai\\\n",
       "c2bKqMFgwKlTp6TXokWLLLa9b98+o+sUKa0ffhARPYyBkIioHIuIiIC3tzcCAgKsPvtniytGvIpW\\\n",
       "2bTm2LFjVo95eXkhOztbWq1Uq9WioKAAer0earUajRo1Mqo/adIk6HQ6oxVDhwwZgg4dOlhs/6mn\\\n",
       "noJWq0VGRgZSU1OLHWmxdXzGjBk2zy0Jf39/TJkyxawvxa3QakvNmjWh0+lgMBjQr18/7N+/32K9\\\n",
       "kvxAgRwjk8kQExMjvcaOHWuxXlxcnMVyjhQSUVlgICQiqgByc3Pxr3/9y+HzlEol9Ho9qlSp4vC5\\\n",
       "169fhyiK0Gg0EEURTZs2tVgvPT3d4baL+nb+/HkpLIqiiI8//thi3f3796N79+7Sey8vL+j1emzZ\\\n",
       "sgUymQyCICA4OBi3bt2yeP5nn30mbZ9RdK1//vkHs2fPRkpKCkRRtDpqaTAY4OPjI40EBQYGOjXq\\\n",
       "NmPGDKM+GAwGpwNA0ejpw+Li4iyu6Orv7+/UNTydMyOEzZo1w8mTJ6WXremiAIz+7BMRlRUGQiKi\\\n",
       "CuKLL75w6jyZTIZ79+7h0UcftfucO3fuoGbNmkZlZ86csVi3tL7Mrl+/HgUFBcjKyoJWq7UY4CIj\\\n",
       "I/Htt98alS1atAivvfaaWd1atWrhrbfeQmRkpM3r1qtXzyho5eTkQKlUIjMz06n7cMUokLXwai20\\\n",
       "27vqKv0/7kNIRJ6CgZCIqByTy+UICAjAyZMn0aBBgxK1tW7dOkRFRSEsLEzaVqJopCo3NxenTp3C\\\n",
       "7du3pYVoLDl+/HiJ+lBS3t7eVlc1LTJ06FBpZNNgMGDMmDEluub169ctloeGhpao3ZLq1auXWdm1\\\n",
       "a9cs1p0wYQKOHTsGpVLp5l5VHqURCAVBgFwuZ6AkojLFQEhEVI7pdDpkZ2cjJiamxG199NFHuH37\\\n",
       "NgoLC42mkAqCAD8/PzRv3hzVqlWz2UaLFi0QEhJiVFZe97ZTKBQu+aJtrQ2DwWC2v2Bp+vXXXy2W\\\n",
       "r1692mJ5y5Yt+TyhA9wZCNu2bSv9+uGpv5MnT3ZZ/4mI7MVASETkAS5evIj58+dDr9cjJyfHqQVq\\\n",
       "imRkZBh9Af7jjz9c0cVyq0WLFlaP5ebmlmJPzL311ltmZf/+97/LoCeVjzsD4aFDh4yeHyx6ffTR\\\n",
       "R266GyIi6xgIiYg8wMMLsgDWpxbaQxAEPPbYYwAeLO7y1FNPlahv5d3s2bOtHitu+qq7ma5cWsTS\\\n",
       "nodERESWMBASEXmAixcvGr1v2LBhidr766+/8NVXXyEnJ6fcThl1la5du1ocJZTL5WW+gqe1QGo6\\\n",
       "rZccx0VliMhTMBASEVVQycnJ0nNyCoUCR44csVjP0iqglrYtcEReXh569OhR4s3gK4rjx49jxowZ\\\n",
       "0uqeXl5eTm+34Wq+vr5mZQaDATNnziyD3lQeDIRE5CkYCImIKqDk5GTUqlULOp0OwIPFZ9q2bYvd\\\n",
       "u3eb1bX2hbXoXEfk5uYiPDwcYWFh6N+/v+MdLwG9Xo/c3FxkZmaioKCgRIHWGVOmTIFOp4NarYZG\\\n",
       "o3Fqb0d38PLyslj+n//8p5R7UrkwEBKRp2AgJCKqgOrXr2+xvEuXLhbLd+7caVbm6BYEbdu2RUBA\\\n",
       "AO7cuQO9Xo+dO3eWyqIqx44dg0wmg5eXFwICAlClShX4+flh7NixJQqFBoMBbdq0gUKhQPXq1e3a\\\n",
       "bF4QBCiVynITALKzs5GTk2P1uLN7JRIDIRF5DgZCIqIKyNronrWA9Pjjj+Pnn3+Wvrjev3/foest\\\n",
       "W7bM4pTUTp06OdSOo9RqNVq3bm027VUURURGRlrdoL04BoMBKpUKR48ehU6nw61btxAQEOCKLrvd\\\n",
       "uXPnMGbMGLRp0wahoaEWpwQXefrpp0uxZ5ULAyEReQoGQiKiCqhr164Wyy1tVl6kd+/eMBgMEEUR\\\n",
       "wcHBDl1v9OjRFsvPnDnjUDuOSk1NtViuUqkwbdo0p9uNiooyC9VqtbpEq3M2btwYgiBAJpNhwoQJ\\\n",
       "VutlZWXZNRppSXJyMpo1a4YlS5ZIYdaWQ4cOOXUdIiLyHAyERETl2FdffYUtW7aYTc3cunUrTpw4\\\n",
       "AT8/PwAPRjNeffVV/PLLL6XaP4VC4db2a9WqZfaMnFKpRH5+vs3zMjIypL3eTOl0Oty+fdviec4G\\\n",
       "3FmzZuHChQsAHoxefvbZZ4iKijK6vkajQUREBIKDg+Hj44OzZ886fJ127drZHBG0ZOXKlQ5fhzhC\\\n",
       "SESeg4GQiKgcGzVqFBISEhAQEIAmTZoYHYuNjUVubi5EUYTBYMCCBQvc1g9rK1auWbPGbdcEHnwp\\\n",
       "12g0mDVrFjp16oSjR49CrVbbnCraoEEDhIWFoX379vDy8jILUHfu3LF6rrPbNfz6669mZampqaha\\\n",
       "tSrOnTuHzZs3w8/PTwqier0ezZs3x82bN43OsRX2MjMzbfbdmsGDB6OwsFB672jQKY8vtVptcWP3\\\n",
       "h18lxUBIRJ6CgZCIqII4f/58qa+sWeTNN980W1WzatWqZhveu4MgCHj77bexe/dutGrVymbdq1ev\\\n",
       "4vLly9J7g8GAoUOHGtVRqVRWz69Xr55Tffzmm28slt+7dw9NmzbFv/71L7PpnaIookaNGqhbty5q\\\n",
       "164NLy8vyGQyCIKA0NBQo1FQg8GAsLAwp/oGAH5+fk5PU/VUDIRE5Cksr1VNRBXGtWvX8Pfff+P6\\\n",
       "9evIz89HWFgYWrVqhbi4OI/ZI86TOLuIiivcu3cPt2/fxtq1azFgwIASBRR3sbTIzdq1a/Hdd99J\\\n",
       "74OCgiyeKwiC01NgmzZtCplM5lRgv3btmlnZvXv34Ofnh2HDhiE+Ph7Dhw93apuQIgaDAd7e3k5N\\\n",
       "U/VkDHpE5AkYCIkqqFWrVuGzzz7D4cOHER4ejqioKPj4+ODevXu4cuUKvL298dJLL2HSpEmoVatW\\\n",
       "WXeXXGDVqlVl3QWEh4fjtddeK+tuWFVQUGBWZvqlXi6XWzw3OTm5RNdWq9Uuf6by22+/xbfffuuS\\\n",
       "tgwGAxo3buyStjyBIyN/DI5EVJFxyihRBdSqVSssWLAAQ4cOxfXr15GamoojR45gz549OHv2LLKz\\\n",
       "s/Hbb7/BYDCgbdu2SExMLOsuUwkIgoDExET8+9//LnFboihi2bJl+Pnnn13ynFV5Y2mV1cDAQKP3\\\n",
       "1qZOVq9evUTXLsvRWyIiImdxhJCoAvr444+RkJBg9bhKpcITTzyBJ554Av/73//wzz//lF7nyKVc\\\n",
       "Gdr0ej0UCoVRmydPnkRMTIzLrlHW3n33XbMRNb1eb/T+008/NTvP19fXYnvZ2dlYtWoV/v3vf1ud\\\n",
       "alrE2sI77uLj44NPPvkEH3zwAdLT00v12p6AI4RE5Cn440yiCshWGDQVGhqKNm3auLE3VFEsX77c\\\n",
       "LGDGxcVVqpFCS6uE5uXlGb3/7LPPzOpUrVrVYnuNGzfGuHHjUKdOHZuLshQWFuL99993rLN2sBU0\\\n",
       "tm/fjvHjx2P//v0uvy5xURki8hwMhESVxJ07d3D69GmcPHnS6EVUxNLm8nl5eejfv38Z9MaYwWBw\\\n",
       "2VYBpgoLC6VnC+/du2dx64a+ffualanVaqSmpkIURdy/fx9KpRJHjhwxqpOdnY2QkBD4+PiUaNEX\\\n",
       "S1asWIEdO3ZYnIrau3dvPPLIIxAEAXXr1i129VVyHAMhEXkKBkKiCu7IkSNo3rw5IiMjERsbi5Yt\\\n",
       "W6JVq1bSf4mKKJVKi+VXrlwp5Z4Ye/3116UtF7p162axTl5eHuLi4hAdHY2lS5daDY9r1661WB4T\\\n",
       "E4OkpCTUqVPH4vFx48aZlVnqS9u2bSGXy+Hn5weZTIagoCDcv3/f2q1ZFRAQYPX3QxAE5OXlYdCg\\\n",
       "QejcuTOSkpLM6vz0009G7zlK6HoMhETkKRgIiSq4l19+GQ0bNkRSUhKuXr2Ka9euGf2XqEhaWprZ\\\n",
       "aFOVKlWwb9++MurRgzC6YMECKeBt3LgR3t7e0kbqoiiiT58+8Pf3x/79+5GSkoJXXnkFMpkMEydO\\\n",
       "NAqGBoMBr7/+usXrXLt2DePHj0dubq7F47Vr1zYrO3DggMW6BoMB+fn5To9oFhQUIDs7G2q1Gjqd\\\n",
       "Do0aNZKOBQUFQavVGj3T2KFDB6M6q1evNgsgSqUS/v7+ZtdSKpVo2bIloqKiuOiNgxgIichTcFEZ\\\n",
       "ogru6tWr+Pnnn1G/fv2y7gqVcwEBAdDr9VCr1dBoNNIoV1mytA2CWq2Gj48PlEoltFqt1eA1b948\\\n",
       "zJ8/Hy1atEBubi6Sk5OtTttUKBSYNGkSPv/8c+zdu9foWKNGjSx+oY+MjMSlS5ecuCvrnnrqKaP9\\\n",
       "QeVyOc6fP1/seefPn8fVq1cRHBxs8TlJ4MH01eDgYGRnZ8Pb2xvJycnlcq9IV5g+fbrbr8FFZYjI\\\n",
       "U/DHhUQVXNeuXXHixImy7gZVICqVCgEBAVbDoCiKOHfunNXRtCLbtm2DQqEwGiXx9vZG7969cfbs\\\n",
       "WeTm5kKj0VjdrH3//v02n7vTaDTFjsKJoojjx4/j8uXL0Gg0VuudPHkS/fv3x549e3DixAmoVCoI\\\n",
       "goCaNWvi3LlzFs9xx8ipIwtCmapbt67VMAg8CCVZWVkQRREFBQWVNgwSEZFrcYSQqIL7+uuvMWTI\\\n",
       "EJw+fRrNmzc32xi7R48eZdQzqqhiYmJw5swZAMArr7yCJUuWmNXp0qULduzYYVauVqvx66+/4tdf\\\n",
       "fzUql8vlGDt2LGbPng0vLy9s3Lix1P5sDh06FA0bNpTex8bGorCwEKIo2hzZCQ0NdXlf/vzzT7z5\\\n",
       "5psub5dcjyOEROQpGAiJKrh9+/Zh79692LRpk9kxQRDM9mAjsuXnn3+WwiAAfPnll/juu++Qn58v\\\n",
       "femtWrUq7t6961C7er0en3/+OT7//HOX9rc4tvZZtOdLvCiK6NmzJ9avX2+zXmRkJG7dugVBEKDV\\\n",
       "aqFSqSyObh47dsy+jlOZYyAkIk/BKaNEFdyrr76KgQMHIjU1FQaDwejFMEgPS05OxqJFi5CdnW21\\\n",
       "zogRI8zKCgsL0axZM9y/fx9z5851OAyWleXLl1sNg45Yt26dzRV7w8LCkJKSIoUChUKBe/fuWaz7\\\n",
       "+OOPl7g/VDq4qAwReQoGQqIK7u7du3jjjTcQHh5e1l2hcmzs2LGoVasWxo0bh6CgIOTn51usZy0s\\\n",
       "nj9/HmPGjMEnn3zizm66zIABAzBkyBCXtCUIAtasWWNxmwhvb2+L+xoGBwcjMDDQrPyHH35wSZ/I\\\n",
       "/RgIichTcMooUQXXu3dv7NixA/Xq1SvrrlA5pdfrsXjxYqMyf39/i4u92FrEpVevXvDy8sKqVatc\\\n",
       "3kdXioqKcjh4iaIItVqN+/fvIyMjA7m5uZDL5QgKCoLBYMDZs2cRExODEydOQKfTQRAEtGrVymyj\\\n",
       "+odlZmZCoVBII/VTpkyBSqUq0b2VhF6vR0ZGBn94ZCdOGSUiT8FASFTBNWzYEJMnT8aePXsQExNj\\\n",
       "tqjMa6+9VkY9I1eQyWQQBAE+Pj4YPXo0Zs6cafZ7XJxt27aZlYmiiJUrV2LQoEFG5YIgWAyFL7/8\\\n",
       "Ml588UX07dsXiYmJNlf0LA1yuRzPP/88CgoKsGPHDhQWFkIQBAwdOhRff/21Q219++23GDVqlM0V\\\n",
       "T1UqFerVq4fXX38dAwYMQIsWLeDlZfufUEEQoNPpkJubCx8fH8jlcof65Sp6vR4+Pj7QarUAbId+\\\n",
       "IiLyPAyERBXc119/DX9/f+zatQu7du0yOiYIAgNhBSeKIkRRRF5eHubMmYM5c+bA19cX6enpRpuX\\\n",
       "2zJ//nyL5UOGDDELhJbCgiAIUsiSy+VYu3Ytnn/+ecduxMVCQkKwatUqi9M4HbF48WKMHTu22Hpq\\\n",
       "tRqXL1/GG2+8gejoaIeuYWnD+NJUtNk9OYYjhETkKfgMIVEFd+3aNauvq1evuuQaCxcuRO3ateHt\\\n",
       "7Y0OHTrg4MGDNusnJiaicePG8Pb2RkxMDDZu3Gh0XBRFTJ06FZGRkfDx8UF8fLzTG4AXBSZrL7Va\\\n",
       "7fCzQOXpZUl+fj78/PxQv359uxYOOnv2rNXPbsCAAdL7q1evWgyEY8aMMXrfvXv3Yq9piUqlcmh0\\\n",
       "09o+iQBw7949m8ftkZubiwkTJthdX6PR2NwHsLzKy8sr6y5USJXhGcL9+/eX274RUfnBQEhUSaWm\\\n",
       "pmLWrFklbmft2rWYOHEipk2bhqNHj6JFixZISEiwuJAGACQlJWHAgAEYPnw4jh07hl69eqFXr144\\\n",
       "ffq0VGfWrFlYsGABlixZggMHDsDPzw8JCQkoLCwscX89yZUrV+Dl5QV/f3+sW7fO6gbwKSkpVttY\\\n",
       "s2YNVCoVwsLCrD6H+vHHHxu9d2bqo0qlwubNm7Fp06Zip1oCwIQJE1BYWIiLFy9a/EKr1+uxe/du\\\n",
       "u68viiJ0Oh30ej1EUYRer8e6descmvoqCAK8vb3trl9eMBA4pzIEwkceeaSsu0BEFQCnjBJVcC+/\\\n",
       "/LLF8uvXr+PgwYN45513StT+3LlzMXLkSAwbNgwAsGTJEmzYsAHLli3Du+++a1b/s88+wzPPPIO3\\\n",
       "334bAPDBBx9g69at+OKLL7BkyRKIooj58+fjvffeQ8+ePQEAK1asQHh4ONatW4cXX3yxRP31RHl5\\\n",
       "edIUztjYWBw8eFBavOTAgQPFThfUaDTIyMiwetxSgJPJZFYDqCVFC7E0bNgQoaGhuH37ts36c+fO\\\n",
       "hSAIaNCgATIzMxEUFGRWJyEhodh7u3fvHurXr4/MzEzIZDLUq1cPX331FaKjozF79my7+w88GBkt\\\n",
       "r1/8bRk4cCBWrlxZ1t2ocCrTlFFrzwYTEQEcISSq8O7fv2/0ysjIwMGDB7Fz5058+umnJWpbo9Hg\\\n",
       "yJEjiI+Pl8pkMhni4+Oxb98+i+fs27fPqD7w4It7Uf1r164hLS3NqE5QUBA6dOhgtU2y38mTJ+Ht\\\n",
       "7Q2lUgkfHx+XjBD89NNPZmXVq1c3K/P19cW7776LV155xWw6p16vx7Bhw3D27Fk0bdrU5vVq1apl\\\n",
       "9AU7MDDQ4vV0Oh2OHj1qtZ0rV64gNDQU9+/fl0YFL168iKeffhpdunQxGrUuTu/evfHbb7/ZXb88\\\n",
       "WbFihV2jsmSsMowQPqyi9ZeISg8DIVEF9+uvvxq91q9fj9OnT2PGjBlYt25didrOyMiAXq83W6Y+\\\n",
       "PDwcaWlpFs9JS0uzWb/ov460CTxY1CM7O9voRdZptVqXTcGdMWOGWZnpc4XVq1fHpUuX8L///Q+z\\\n",
       "Z8+2uAdfSkoKUlNT8eSTT9oMKNOmTTMrmzJlisW6thaEeeaZZyyWq9Vq3Lx50+4RTn9//wo/wrZi\\\n",
       "xYqy7gKVkaLnqR999NGy7goRlVMMhESV1IABA7Bz586y7obLzJw5E0FBQdKrRo0aZd0lj3H58mWz\\\n",
       "hUneffddHDlyBHv27IFer8eNGzcQFRUFmUyGgIAAPPvss2btaDQa1KtXD5MnT0ZmZiamTp1qtshM\\\n",
       "dHS0ND35YSNGjLDYtwMHDlicCmcwGHD58mWr9+TIdNdNmzbZvaKrwWBAQUEBUlJSkJycXG5W9xww\\\n",
       "YAC0Wq1dK6rS/6uIo4PW+jRnzhyjBbeIiIowEBJVUidOnECrVq1K1EbVqlUhl8vNnve6ffs2IiIi\\\n",
       "LJ4TERFhs37Rfx1pEwAmT56MrKws6XXjxg2H74ecFxQUZPYlsnXr1ujYsaPF1T6zsrLMymQyGeLi\\\n",
       "4uDl5QU/Pz9Mnz4dGo0GBoMB+fn50Ol0uHnzpsXry2Qyq5u6m45WAsCPP/5oz23Z5a+//iq2zu7d\\\n",
       "u+Ht7Q25XA5fX19ER0ejVq1aUCqVCAkJcSiAuouXlxcWLlxY1t2oMCrDlNGHR+Lj4uLKbT+JqGwx\\\n",
       "EBJVcBMnTjR7vfTSSxg0aBBq1KhhVO4opVKJNm3aGG1sbjAYsG3bNsTFxVk8Jy4uzmwj9K1bt0r1\\\n",
       "69Spg4iICKM62dnZOHDggNU2gQerVAYGBhq9qPTo9XrExMTYXX/r1q1mZVFRURanigqCYNfG7Y8/\\\n",
       "/rjF8i+//NJstdChQ4fa3dfiTJ8+Hbm5uVaPnzhxAp07d4ZarbZ4/P79+1AqleUiFJL9KnIgLNqf\\\n",
       "U6/Xl3h7FiKq/PiUOVEFd+zYMYvl7dq1w507d6TtIZz9wjJx4kQMGTIEbdu2Rfv27TF//nzk5eVJ\\\n",
       "0/oGDx6M6OhozJw5EwDw+uuvo3PnzpgzZw66deuGNWvW4PDhw1i6dKnUjwkTJuDDDz9EgwYNUKdO\\\n",
       "HUyZMgVRUVHo1auXU32k0nHmzBlcvnwZ9evXt1lv/fr1Frdz+M9//lOi67do0cJi0AQeLGjTqVMn\\\n",
       "fP311xg4cKDVcOasKlWqWJ3+2a5du2LP1+v1UKlU0Gg05S48kGUVeZVRjUaDJk2aAIA0si+Xy+3a\\\n",
       "t5SIPA8DIVEFt2PHDre2379/f6Snp2Pq1KlIS0tDy5YtsXnzZmlRmOTkZKOfQD/66KP44Ycf8N57\\\n",
       "7+E///kPGjRogHXr1qF58+ZSnXfeeQd5eXkYNWoUMjMz8dhjj2Hz5s1O7fFW3BcxlUpVoZ+XKW9f\\\n",
       "NBs3boy8vDyL0zeLthSxNhptuvqso7Zs2WL1mF6vx86dO4sNq87S6XSYO3eu2b1ptVq7nxPU6XRQ\\\n",
       "KBTQarXl7veVzFXkQAgA58+fN3rPMEhE1jAQElGxxo8fj/Hjx1s8Zmnhmr59+6Jv375W2xMEATNm\\\n",
       "zLC4eiUZy8/Px4EDB9C1a9dyMeVQr9fDz88Pzz//POrWrYuDBw/i0qVLyMzMRH5+vs3wbc/oYhFR\\\n",
       "FI2+ZOfl5Tm0TYQ7vPXWW2aB8Ny5cw61odfroVQqOVJYAVTUQPjw353w8HDcvn27XPWPiMofTiwn\\\n",
       "qoCeeeYZ7N+/v9h6OTk5+OSTT7iQRAXm4+ODJ554olyNKun1evz000+YNWsWdu7ciVu3biEvL6/Y\\\n",
       "kdj+/fvbPC6KIgYNGgSlUgmFQoGwsDDMmDEDy5YtQ61atco8EIuiaPYs4cWLFx1uR6fTWV0gh8gV\\\n",
       "ilYSTUtLw1dffSWVJyYmlmGviKi84gghUQXUt29f9OnTB0FBQejevTvatm2LqKgoeHt74/79+zh7\\\n",
       "9iz27NmDjRs3olu3bpg9e3ZZd5lKSCaTYcuWLXjqqafKuitOy87OxsSJEzF37lyLx+vWrYt//vlH\\\n",
       "ep+RkWFxT8Ky1KtXL6NVR51dyVer1cLHxwcFBQWu6hq5WEUdITQ1YsQIq9u2EBEBDIREFdLw4cMx\\\n",
       "cOBAJCYmYu3atVi6dKm0zL8gCGjatCkSEhJw6NAhaWEBqvhK+gxeeTBv3jz4+fnhgw8+MCrfsmWL\\\n",
       "URgsr7Zv3270vk6dOk63VVhYiMcffxy7d+8uabfIDSpLICQiKg4DIVEFpVKpMHDgQAwcOBDAg33f\\\n",
       "CgoKEBoaarbZN1UeLVu2xPHjx83KfXx8IAgC8vPzrZ7r7e0NtVpd5ovsfPjhh0hKSsKWLVsgl8tR\\\n",
       "UFCA3r17l2mf7CWKInJychAQEADgwchtSVZv/Pvvv82el6TygYGQiDwFnyEkqiSCgoIQERHBMFjJ\\\n",
       "Wdpw/ffff0deXh7y8vJw4cIFs/38fHx8cOTIEaSnp2PChAlm51erVg0NGzZ0V5ct2r59O/z8/PDc\\\n",
       "c8+hbt26yMvLK9Xr26JQKPDVV1/hrbfesng8Ojra6H1UVFSJrnfz5s0SnU/uUZH3ISQicgQDIRFR\\\n",
       "OTZlyhRs2LABWVlZ0Gq1CAwMRKdOnSCTyaTpwU8//bT0hbRhw4bIzs5GUlISrly5Ar1ej/z8fLRu\\\n",
       "3Rr+/v5Gq7/6+PjAYDDg9u3buHDhQqkvS69Wq7FhwwakpaWV6nWBByPsln54MmPGDGg0GowYMQKz\\\n",
       "Z8+2+Jnk5ORAJpNh06ZN+Pnnn0sc6MaOHevwOXq93qxvhYWFmDt3Lr788ssyHwWuDNwdCL29vRks\\\n",
       "iahc4JRRIqJy7MMPP5R+HRkZialTp6JRo0Y4dOgQ1Go1zp8/jyZNmmDp0qWIiYmBIAhQKpXo0KGD\\\n",
       "0f6QRR5eXML0C2hRyKzMYaJo4aWiPS81Gg169eqF3bt3o1+/fpgyZYpRfZlMhvT0dISFhRmVi6KI\\\n",
       "Z5991iV9eniRmuJkZWWhbt26uH//PgRBQGBgIOLi4pCSkoLTp09LITEzMxOTJk1ySf/I9erUqQO1\\\n",
       "Wi29l8lkZb6KLhF5Lo4QEhFVEKmpqZgzZw5OnDghPQtoMBhw9epVxMfHIzw8HOHh4VZXItVoNDh7\\\n",
       "9qz0Pj8/HydOnJDe37x5s9yHQYVCgaZNmyIiIsLhc2UyGXJycqQwCABKpRIbN25Ebm4uli1bZvG8\\\n",
       "qlWrokePHk73uTiFhYVITk4utt7u3bsRHByMe/fuSb/3mZmZ2LRpE06cOGE0Yrh48WKr7Tg68lUe\\\n",
       "X0V//m29SsqdI4RFCygV9VWv17us30REjmIgJCKqQG7cuIGzZ89a/eIoiiIOHTqECxcumB3797//\\\n",
       "bVbWsmVLBAcHIzo6GjVq1HCqT9WqVUPr1q2NgpY7CIKAnTt34vTp00hJSUFOTg66d+9ucSTUkk2b\\\n",
       "NsHLy7mJMb/99pvd13FGgwYN8Pbbb+PUqVO4c+cOCgoKYDAYpL0PGzVqhM6dO7vt+mSuNJ4h5HRR\\\n",
       "IioPGAiJKrghQ4Zw2XoPotFobK4kWqRVq1ZGoTEzMxM///yzxbpZWVlISUlxqj/Lly9HamoqDh06\\\n",
       "hJ07d8LPz8+pduzx3HPP4dFHH5W+PPv7+2P9+vXS83QajQa3bt3Cjh07sGLFCrz88suIioqCn58f\\\n",
       "evToUeI9HO/eveuiOzGn0Wjw6aefIjY2FuHh4fD19YVcLodMJkNAQAAuXrxY4muIoojvv//eBb31\\\n",
       "DM4EwjNnziA2NlZ6jRs3zuFrEhGVNj5DSFTBZWVlIT4+HrVq1cKwYcMwZMgQs1UQqfKwd0qZWq2G\\\n",
       "n58fPvvsM+zcuRM//PCDy/vywgsvYMiQIdL7Dh064PLly5g4cSIuX76M4OBgZGRk4MyZM9BoNMW2\\\n",
       "JwgCYmJiMHz4cJw6dQo//fQTsrOzIQgC/vWvf2HdunVWz5XJZJDJZIiKipJW/Rw0aBCAB4vAeHl5\\\n",
       "lfjLdnBwMMLCwpCenm5ULpfLsW7dOnTt2hWCIOD+/fv4/vvv8f7779sV3t3h1q1bMBgMRqOaL730\\\n",
       "ElavXl0m/amIHBm1K6pnMBhw6tQpqfzUqVNYuHCh1fMe/vvMMEhEZYWBkKiCW7duHdLT07Fy5Up8\\\n",
       "9913mDZtGuLj4zF8+HD07NmT21B4sIKCArzyyituey7piy++MCsLDw/Hl19+Cb1eD19fXwAPprk+\\\n",
       "88wzuHz5stW25HI5vv/+e/Tt21faNmPBggXYvXs3srKyHJoaasrf399ln8GqVavw9NNPG5XVrl0b\\\n",
       "//rXv6R+R0ZG4u2338bLL7+M6Ohoo8VDTAmCAC8vL2i1Wpf0r4hOp0NWVhaqVKkC4EHwOHDggEuv\\\n",
       "Udk5EwhlMhmaNWsmlXfq1MktfSMiciVOGSWqBMLCwjBx4kScOHECBw4cQP369TFo0CBERUXhjTfe\\\n",
       "wKVLl8q6i1RGShqEAgMDLU4Dfe655xAeHm5WLggCAgICEBwcDKVSCaVSiXr16uHSpUvQ6XTo2bOn\\\n",
       "UX0vLy+cOnUKOp0OL774otEeij4+PkhISEC/fv3g4+Pj9D048sVer9cjJyfH6vGnnnoK7dq1k957\\\n",
       "e3vj3LlzZns/AkBoaCgKCwutTqPt0KED1Go1CgoKMHnyZLv654jq1atLYVQURYaTUtCsWTOcPHlS\\\n",
       "etkaHSQiKi8YCIkqkdTUVGzduhVbt26FXC7Hs88+i1OnTqFp06aYN29eWXePKhClUimNMuXm5sJg\\\n",
       "MOCnn35Cx44d8ddff+H33393uM2iqZWiKEKj0UCv10Or1aJ58+ZuuANjhYWFxYbjgoICKJVKBAYG\\\n",
       "QhAEbNy40WK9gwcPYt++fVi8eDFycnKKHYXPyckxC6QTJ07E/v37oVAoIJfL8dFHH+HChQsunTaY\\\n",
       "n5+PHj16QBRFyGQyLFu2DEeOHHFZ+5VdaS8qQ0RUVhgIiSo4rVaLn3/+Gc899xxq1aqFxMRETJgw\\\n",
       "ASkpKfjuu+/w119/4ccff8SMGTPKuqtUQcTHx0OtVhuNegmCgD59+mDPnj3o2rVria+hUCjcumrn\\\n",
       "wwwGA1544QXMnDnTZr0aNWoY7QXXrVs3qyHykUcewejRo+1atVQQBGg0GkRGRsLHxwcHDhzAnDlz\\\n",
       "zOo1bNgQer0eY8eOdVlA2Llzp/RrmUyG1q1bu6RdT+DOQGhrlWAiotLGQEhUwUVGRmLkyJGoVasW\\\n",
       "Dh48iMOHD2P06NEIDAyU6jz55JMIDg4uu05Suda9e3dpiwNRFLF169ay7pJLjRgxAhs3bsR///tf\\\n",
       "KJVKq/Xu3btnVuaq0Orl5YWUlBTk5+ejffv2VusJgoCFCxdKvx8Gg6FEK4NGR0dz9KkE3Dk66I69\\\n",
       "E4mInMFASFTBzZs3DykpKVi4cCFatmxpsU5wcDCuXbtWuh2jCkEQBKxfv75Sh4YtW7ZIv9ZqtVZH\\\n",
       "yVq0aGGxfP369UbvRVHEtWvXzFYbdQdBEPDSSy/ZXGHVlhMnTri2Qx6kNKaMEhGVBwyERBXcoEGD\\\n",
       "3L4hOFVelhZDqWwaNWpk9P7YsWPQ6/Vm9Y4ePWpxBHHjxo3S6E1WVhYCAwNRt25dVKtWDQEBARbb\\\n",
       "crUePXo4fM7IkSMREBBgVm5pZKqivVQqldsDGgMhEXkKBkIionJs+PDhCAkJcVv7Op2u1KaqPfx8\\\n",
       "nqvcv38ff//9t822LY2uWZqGKQgC1Go1Pv30U+nZwJYtW+LTTz8F8GB08ZFHHkFubq50Tm5uLry8\\\n",
       "vLB///4S3oltRdtTWOPl5SVtZO/n54czZ85g6dKlbu1TZcdASESegoGQiKgc+/rrr3H37l3cuHHD\\\n",
       "bddYuXKlzeOpqanw8fGBQqHAhg0brNY7fvw4xo4di8OHD0sBzWAwYMyYMZDJZJDL5RAEAQkJCUYB\\\n",
       "ThRFTJ48WTquUqlw+/btYvs9Z84chISE4PHHH4eXlxeefPJJi/UCAgIQERFhVLZnzx6r7b755pvQ\\\n",
       "arUQRRHHjh2Dv7+/FMiysrIsnhMXF4fIyEi3huugoCCzstWrV0MURWi1Wuh0Ouj1euTm5qJp06Zu\\\n",
       "6wcREVUuDIRERBVA9erVcfToUbe0/fLLL1s9ZjAYEBUVhcLCQuh0Ojz33HMWw1RgYCBatWqFxYsX\\\n",
       "o127dtJolVwux5IlS4yC0pYtWyCXy+Hj4wM/Pz/IZDJ8/PHHUkjUaDSIiIhAYWGhzX6/9dZb0q9F\\\n",
       "UcTOnTutjhSmpKTA19dXeu/MFExBEDB//nyrx9PS0iCTydCzZ0+XbzQPACtWrJB+rVQqUVhYiBdf\\\n",
       "fNHl16EHOEJIRJ6CgZCIqIJo1aqVUahxFVubsX/yySdmZU888YTR++PHj1s8v7jRssLCQuTn51s9\\\n",
       "HhUVZfWYo8v2C4KAnJwcDBw4EF27dkV8fLzNvlnTr1+/YlceXb9+PZRKpVlgkMlkiIyMxJ07d5y6\\\n",
       "9rPPPos7d+7gzp07UKvVUKlUTrVD9mEgJCJPwUBIRFSBnDx50i3tLlmyxGL5xx9/bFZmuojK888/\\\n",
       "75Y+3b9/36H63t7eNhfJkclkWLlyJTZt2gQfHx+n+7Vp0yanzhNFEWlpaQgPD0fLli2dml4aFhaG\\\n",
       "sLAwp65PjmEgJCJPwUBIRFSB1KlTxy3tLliwwGK5tZHDh929e9fV3ZFYm3opCAL8/f2l96+++qpd\\\n",
       "fQUAhUJRoj49/fTTJTofeLAdxJQpU0rcjjWiKCIlJQXnz59HVlYW9Ho997pzEAMhEXkKBkIiIkJK\\\n",
       "SopZWdHm6MWxNo1VqVQiOTkZN2/eNFvUBXiwHcSePXvw7bffWg1ptq6fmJiIYcOGIT09HQsWLLC5\\\n",
       "CqerlXS6plwuR+PGjV3UG2NNmzaFTCZDdHQ0mjRpguDgYHh5eUEmkxU73ZX+HwMhEXmK0vvXk4iI\\\n",
       "Skyn07ml3aLw9/AXW0shEYDZl19/f3+Lq4J+/vnnqFGjBgDg6tWraNiwIW7dugVBENClSxds3LgR\\\n",
       "CoUCHTt2REJCAmrWrGl0fwqFwuoUUFEU0b59e3Tq1Al+fn4O329JlWSkTS6X48knn3TLVNvFixfj\\\n",
       "3LlzLm+XiIgqLwZCIqIK5I8//nBb27169cJvv/0G4EFArF27tsV63t7eRu8fnrpZRBAEjBo1Snrv\\\n",
       "4+Njc+uMyMhIaLVaFBQUIDExEVWrVkV8fLxRINTr9bh79y6uX7+OkJAQ1K5d2+Yzg+4iiiI0Go1T\\\n",
       "586YMQPvvfeeW0aURo8ejS+//NLl7XoqR0b+OEJIRBUZ544QEVUAoigiOzsbr732mtuusX79egQH\\\n",
       "B+PJJ5+EQqEwWzymSPPmzY3eWxpJbNSokVN98PHxweDBg/Hss89CqVQCeBBOY2Ji4OXlhfDwcLRv\\\n",
       "3x5t2rRxqn1rRo4cCV9fXzz22GM2N7kHgPr16zt1jfDwcEyZMsXh8LBixQr069fP5oqs+/fvZxh0\\\n",
       "MU4ZJSJPwRFCIqJyrOiLZtGG7UWbt7trcZCsrCzs3LnTZp2vv/7a6L2lRWUGDBjgsj5duXIFp0+f\\\n",
       "NirLysqCWq12yTYc169fl+5p79698PLyglartTj6+MMPP+Dq1atOXadVq1YOnxMaGop79+4BePDM\\\n",
       "5JIlS/DKK68Y1cnOzkZcXJxTfSLrOEJIRJ6CI4RERBWAKIooLCxEy5YtsWfPHqdHqVwhNjbW6L2l\\\n",
       "EbUnn3zSZdfbunWrxfK8vDyXtG+6Sb0oimjQoIHFugMHDnT6Ojt27HCofsuWLaUwWGT06NFo2rQp\\\n",
       "dDodRFHEL7/8gqCgIKf7RNZxhJCIPAVHCImIKpBVq1ahVq1auHTpEqKjo60u/OIuycnJRu+tLXLj\\\n",
       "yimd1apVs1juqucHz5w5Y1Zmep+2KJVKrFq1CnXr1sXTTz9tdRsOtVqN1NRUREZGFttmy5YtceLE\\\n",
       "CYvHzp07V+KtM6h4HCEkIk/BEUIiogokKipK+vWhQ4fsPi86Ohq///47kpOTcfjwYae2TZg/f760\\\n",
       "aqgtgiC4ZCpnkWeffdZiuaXFbIqIooimTZvCy8sL/fv3t9m+pWclrY267d+/X9q6wc/PD/fu3YNa\\\n",
       "rcYLL7yA1q1bIyMjw+j3yFR0dDQKCgosHisoKMDYsWMhk8mshkEiIiJX4wghEVEF8s0332D06NEA\\\n",
       "YNezbNnZ2QgICDAqq1GjBgoLCwEAgYGBdm3o7uvri9dff92s3MvLC8888ww2b94MAGjSpAnOnj1b\\\n",
       "bHuO8PX1hVKpNFvZ09oIoV6vN9qT8Mcff8Tp06ctjgR26tTJYhsZGRkWy9u3b291sZ0iZ86cQZUq\\\n",
       "VSweE0XRpWGZ3IcjhETkKThCSERUgYwdOxapqanIzc3FU089ZbPuhg0bzMKgqezsbLumH9ra9H3T\\\n",
       "pk24e/cu1Gq1xTDYsWNHKBQK9OvXr9jrWLNy5UqzMmsjpJZGDs+ePWu2EE9WVhb27NljVrdp06Yl\\\n",
       "+oI/YsQIp891lJ+fH5YvX46LFy9i8+bN6NSpU5lsxVEZ8RlCIvIUDIRERBWIKIqIjo5GcHCwNMpn\\\n",
       "jbWplqYKCwuLDRHZ2dk2j4eEhEjbRDxsy5YtSEpKgk6nQ2JiIoKDg+3qkylLi9Q8+uijRiN5oiii\\\n",
       "fv36Vj+X2NhYKRSeP3/eal9KMl0zMTERP//8s9PnO+Ktt95Cbm4uhgwZggYNGiAhIQG7d++GTqeT\\\n",
       "9pMk5zEQEpGnYCAkIqpgRFEsdtpi0XNu9pDJZNBoNMU+V9ilSxe72ywyd+5co/dZWVnYsmWLw+2s\\\n",
       "X7/erEwURYSFhUEul0Mul0Mmk+HKlStW2zh9+rRUr0mTJhbrqFQqm6Oh1uTm5pZ4FNQRMpkMs2fP\\\n",
       "tnq8R48eZqvBkmMYCInIUzAQEhFVQo5+QZXJZCgoKEBgYKDVOjt27MAzzzzjULvvvfeeWZkzWzeM\\\n",
       "HDnS6jGDwVDsZvJFRFG0uYfj2LFjHe5bt27dEBAQYHXFVXdISEgots7y5cvd35FKjmGQiDwBAyER\\\n",
       "USVkb0B6mCAIuHnzps06f/75JwRBQEBAAGrUqIH4+Hjcv3/fav3HHnvMbLTS2oIr1lSrVs1miHOl\\\n",
       "3Nxci+XWrt+uXTts3LjRnV2y6PPPPy+2TnR0dCn0hIiIKjoGQiKiSqi4kTBrZDKZXdNNc3NzcfPm\\\n",
       "TWzbtg3t2rWzWVej0UjPF8pkMhw9etTu/tSqVQvp6el21y+pb775BmlpadK03KioKAiCAJlMBkEQ\\\n",
       "UK9ePdy6dQt5eXkYNmwYDh8+XGp9e1jdunWLrWNtewuyD6eMEpGn4LYTRESV1OrVq/Hvf//b7vqn\\\n",
       "Tp1Cx44dHR5dLO6ZO7lcDrVaDb1eLwUrezz77LMObRAPPAiczoyOFjEYDDY3jr969Spq1qyJWrVq\\\n",
       "ITU11enrlMSrr75q12fo6GdHxrjtBBF5Co4QEhFVUvY+q/fll19CEATExsbatSfhw2QyGY4fP25X\\\n",
       "XblcbvcXZ51Oh02bNtndD0EQ0L59e+Tl5eHgwYN2n+cMURQRHx+P//3vfxa3uHAHQRAQHh6OtWvX\\\n",
       "YsGCBXadU7Q3JDmHI4RE5CkYCImIKilRFDFkyBCbdV599VVpo3tHRUZGQqPRwNvb26nzbZkzZ45D\\\n",
       "9V988UUkJSXB29sb7dq1w3fffWe1btHKpM76888/sXTpUkycOBE5OTkoLCzEsmXL0KdPH7zxxhtY\\\n",
       "tWoVxo8f79Rqpbb06NEDzz//vN31ly1b5tLrexoGQiLyFIJYWk/qExG5UHZ2NubOnWvXF7Fp06aV\\\n",
       "Qo/cwxVfNHNzc+Hn5+fS9s+dO4fGjRuXpFs21alTB//884/d9S9fvox69eoZlfn6+ho9RyeXy6HR\\\n",
       "aCCTyaDX66FQKBx6ztLLyws5OTl2B2BRFFGlShVkZWXZfY3irr9nzx506NDBrvrWfm8rwz/706dP\\\n",
       "L7bO+++/j6ysLJsr51oSGxuLU6dO4dtvv4Wvr69d5+Tn52PYsGGIiYnByZMnHboeEVFZ4wghEVEl\\\n",
       "FxAQYPG5upSUFKfau3XrllNhUBRFu57vu3XrlvR8nlKpxHfffYeCggKkp6cjICDA4jmW9h/Mzs6W\\\n",
       "RgJ9fX2h0+mkBXPkcjkGDBhgV7+9vLxw6tQpaLVah0ZDBUFw6XOGOp0OjzzyCN5+++1i69avX99l\\\n",
       "1/VUHCEkIk/BQEhEVMmJoggvLy9oNBqj8qeeesrhturVq4eoqCirxwsKCrBlyxaMGTMGLVq0QEBA\\\n",
       "gLSQjEwmk54jlMvlaNy4MZKSkpCXl4f8/Hzs378fERERqF69OtRqNcLCwpCXl4fBgwfD29sbVatW\\\n",
       "tbri6AsvvGA2Eufl5YXs7GycO3cOeXl5ZucU9yxeTEwMDAYDtFotmjdvbsenY87Hxwe1a9d26lxr\\\n",
       "Pv30U8jlcixZsgQajUZaUVan02HPnj1QKBQWA3IRR4NOeXyp1Wrpvq29iIjIPlxllIjIA4iiCJVK\\\n",
       "hUGDBuGbb77Bhg0bcPbsWYfbeffddy2Wr1ixAsOGDbN7hU+DwYALFy6gY8eOVuvUqFHD7Dm8ou0r\\\n",
       "TOXk5CAsLAxqtdpotMbX19fqaGZwcDAEQTAKDwqFAocOHUKLFi3sug97nDhxAlWqVCnR6qemDAYD\\\n",
       "xowZgzFjxrisTTLGVUaJyFNwhJCIyIOsXLkSSqXSocVJinh7e+OZZ54xKrtx4wa8vLwwZMgQlwYe\\\n",
       "4MFziqbS0tKs1tdqtVCpVDhx4gTUajVyc3ORlZVltV8GgwGDBg1CnTp1MGvWLOh0Omg0GpeGQQAI\\\n",
       "DAzEvn37oFAoXNouuRenjBKRp+AIIRERmQkICECTJk0QEhICmUyG9u3bY9SoUYiIiADwIEwNHToU\\\n",
       "K1eudFsfCgoKcPHiRTRs2BDAgw3ua9asafMcrVaLli1bGpX5+flh3bp16NKli7SgzLVr17B9+3ZM\\\n",
       "nDgRy5cvd/sX+vbt2yMjIwMRERHcML6C4AghEXkKBkIiIjITFRWFHTt2WF1l8fTp024Ng0UaNWok\\\n",
       "bRNha3TQlry8PKvPS37++ecuHxG0JjAwEDdv3kRoaGipXI9KhoGQiDwFp4wSEVVASqXSrV9C7927\\\n",
       "Z3PJ/Rs3brjt2qbS09OdDoPFefPNN93SrjUhISFWtwApqaeffhqZmZnQarXIyspCv3793HIdT8Ep\\\n",
       "o0TkKRgIiYgqoKLVJd0lMzPT5nHTaZkVlUajwe3bt13apiiK6NevHxo1aoTr16+bHW/Xrp1LrxcQ\\\n",
       "EAC9Xo8///wTQUFB8PLyQmBgINauXQuDwYDWrVu79HpERFS5MBASEZEZnU5n83jRs4SVQVRUlMVw\\\n",
       "7ewiOdHR0UhMTMTFixdRu3ZtDBkyxOj4xYsXnWrXlEwmw/r165GdnS3tr2hKEAQcOXIEd+/ehb+/\\\n",
       "v0uu6yk4QkhEnoKBkIiIzBQ3+li0p2BlYDAY4OXlhT///BN37tzBqFGjpPtLSEhwuD3TzehXrFiB\\\n",
       "hg0bIj8/H0eOHEFKSorTfW3SpAkuXrwInU4HvV6P7t2723VeSEgIcnJyXL4SbGXGQEhEnoKLyhAR\\\n",
       "kUVpaWlWRwI1Gg0UCgX0er1UJggClEqltJl7RWIwGMy21ACALVu2QK1WQ6VS2d2WQqEwu/9Lly6V\\\n",
       "6NlBQRCg0WjM9mV0ph2yDxeVISJPwRFCIiKyKDo62ijwFcnIyECdOnWgVqsBACqVCnPnzkVBQQEK\\\n",
       "CgpQWFiI9PR09OvXDz4+PhX+y/Lnn3/uUP2kpCSX9+Hy5cslDoNFRFGs8C+VSuX2ETuOEBKRp2Ag\\\n",
       "JCKLtFotJk2ahJiYGPj5+SEqKgqDBw+2a7rbwoULUbt2bXh7e6NDhw44ePCg0fHCwkKMGzcOoaGh\\\n",
       "8Pf3R58+fVy+sEdl8eOPP6Jz585lcu2iqZRVq1ZFq1atEBQUBJlMhrCwMKSmpkrTSgcMGIA33nhD\\\n",
       "+pIuk8lQtWpVrF27Fvn5+TAYDEZf5rVabans/ecqs2fPdqh+27ZtXb4JfZ06dVzaHhWPgZCIPAUD\\\n",
       "IRFZlJ+fj6NHj2LKlCk4evQofvnlF1y4cAE9evSwed7atWsxceJETJs2DUePHkWLFi2QkJCAO3fu\\\n",
       "SHXeeOMN/P7770hMTMSuXbuQkpKC3r17u/uWKqS+ffti586dMBgMDk1bdKW7d+/i+PHjyM7Otvhs\\\n",
       "oaP76nl5eWHIkCHQarUV4ot0RkaGw+dkZ2e7tA/5+fkubY+IiKgIAyERWRQUFIStW7dKy+c/8sgj\\\n",
       "+OKLL3DkyBEkJydbPW/u3LkYOXIkhg0bhqZNm2LJkiXw9fXFsmXLAABZWVn45ptvMHfuXHTp0gVt\\\n",
       "2rTBt99+i6SkJOzfv7+0bq/CEQQBf/75Z1l3w6JTp045dZ5cLkf9+vVd3BvXc2YhFm9vb5f2YcmS\\\n",
       "JS5px51blVQ2HCEkIk/BQEhEdsvKyoIgCAgODrZ4XKPR4MiRI4iPj5fKZDIZ4uPjsW/fPgDAkSNH\\\n",
       "oNVqjeo0btwYNWvWlOqQZZ07dy6z6aO2bN++3elzz5w5Y/WYTCazOSoaEhKCzZs346uvvnL5FE1T\\\n",
       "eXl5Dp9TtWpVl13/rbfeQs+ePZ0KdAcOHIBcLpem85J9GAiJyFPwXwYiskthYSEmTZqEAQMGIDAw\\\n",
       "0GKdjIwM6PV6hIeHG5WHh4cjLS0NwIOVK5VKpVmofLiOJWq1GtnZ2UYvT7Rz504sXbq0rLthRKfT\\\n",
       "oVGjRk6dq1AorIa55ORkFBYWQq/XQ6lUGh2bMGEC7t69i4SEBIwYMQIajQaiKCIoKMipfhTHmXDn\\\n",
       "6pCwfv16yGQyCIKAAwcO2HVOWFgYHnnkEW434SSGQSLyBAyERAQAWLVqFfz9/aXX33//LR3TarXo\\\n",
       "168fRFHE4sWLy6R/M2fORFBQkPSqUaNGmfSjPBg5cqQ0Bbe8uHjxotNTfvv372+xPCoqCsCDkcIN\\\n",
       "GzYYHXv77bctnmPrhwolUVhYCJ1OZ3d9tVqN9PR0t/QFAB555BHk5OTYrHP16lWnnn+kB0pzhJDh\\\n",
       "kojKEgMhEQEAevTogePHj0uvtm3bAvj/MHj9+nVs3brV6ugg8GAURS6Xm60Yevv2bWk/u4iICGg0\\\n",
       "GmRmZlqtY8nkyZORlZUlvW7cuOHknVYOw4YNg8FgwPnz59G2bdty8UUyLi7OodBU5JNPPrFY/vA9\\\n",
       "mf4AoGjLC1OufnbvYfaMgoqiiK+//tqt/SjSp08fq1NIDx06hHr16rm9D5VZaQXC8vB3l4g8GwMh\\\n",
       "EQEAAgICUL9+fenl4+MjhcFLly7hr7/+KnY1SaVSiTZt2mDbtm1SmcFgwLZt2xAXFwcAaNOmDRQK\\\n",
       "hVGdCxcuIDk5WapjiUqlQmBgoNHL0wmCgEaNGuHQoUPQ6/UufWbNWT4+PhbLJ06cCB8fH/To0cMs\\\n",
       "xPj7+1s85+HN3Xv16mV07Mcff7TaB2s/WBAEoUR7+V29ehVZWVkWj+3duxcKhQIymQwjR450+hr2\\\n",
       "EgQBXbp0wc2bN7F69WpUq1YNcrlcmlLavn17t/ehsiuNQNixY0cX95qIyHEMhERkkVarxQsvvIDD\\\n",
       "hw9j1apV0Ov1SEtLQ1paGjQajVSva9eu+OKLL6T3EydOxFdffYXvvvsO586dw5gxY5CXl4dhw4YB\\\n",
       "eLB66fDhwzFx4kTs2LEDR44cwbBhwxAXF4dHHnmk1O+zvAsODkZISAgaN26MP/74w+qIkCAI5WIv\\\n",
       "R51OZzTdGHgw+jtv3jwUFhbi999/h1wuN9rPcuXKlRbbevLJJ6HX63Hu3DmcP3/e6Nj8+fOt9uHK\\\n",
       "lStG72UyGW7cuAGDwQCtVgtRFLF7924H7+yB4OBgXL582ehaXl5eeOyxx5waHXVG//79odVq8e67\\\n",
       "70KlUmHQoEFIT0+X9nuksnPmzBnExsZKr3Hjxtmsn5SUBICrvxJR2XL+R6VEVKndunUL69evBwC0\\\n",
       "bNnS6NiOHTvwxBNPAHjwhfjh55T69++P9PR0TJ06FWlpaWjZsiU2b95stNDMvHnzIJPJ0KdPH6jV\\\n",
       "aiQkJGDRokVuv6eKqGhE6v79++jevTsEQYBOp7O4WmTRqpzWplOWlvj4eKM+mI7miaKI6OhoBAUF\\\n",
       "ISYmBnv37rXYzt69e+Hr62v0A4gitp7P8/X1RUZGBl566SW8+uqr6Natm1mdTp06Qa/Xw8vLy+Ev\\\n",
       "4w0aNHCovjUqlQpr165Fw4YNMWzYsGIXihEEARqNxmiUMywsjAvGuIkjI39F9QwGg9E2LKdOncLC\\\n",
       "hQttnjNkyJAS9pSIqGQYCInIotq1a9v1Rfmff/4xKxs/fjzGjx9v9Rxvb28sXLjQ6hclsk4URURF\\\n",
       "RVldPCUkJASpqaluu74gCFi1ahWeeeYZjBs3DqtXrzarYxrgWrRoYbGtrKws7Nmzx+b1LIVBoPi9\\\n",
       "AUNDQ7F582abdWQyGf755x/UqlXLZj138PPzQ05OjhQK9u/fj86dO9scuczNzTWb8ioIAuRyeamN\\\n",
       "TnoSZwKhTCZDs2bNpPJOnTpZrP/wqrnLly93vpNERC7AQEhEVMHYmhrqzsVM5HI5tFqt9OX3hx9+\\\n",
       "gFqtxi+//GLzvPL8PFvNmjXL5Lpnz541Cxvff/+91f7IZDL4+vpaPFa7dm2jaazkGs4EwmbNmuHk\\\n",
       "yZPF1n/4+VjTawiCgMTERLzwwgsO9JaIyHl8hpCIqAKyNnrrzmeR/vrrL7Mvr5ZGCE3Z2lzeWa7c\\\n",
       "YL0sVnmsXr26WZmtPRT9/PysHuvatatL+kTG3LmoTNEqztYwDBJRaeIIIRFROeZowLt27ZqbemKZ\\\n",
       "Uqksto+CIJTrRTPKyzN4gYGBTn1OS5YswZIlS9zQI8/mzAihvQ4dOmS1jfL8d4WIKieOEBIRERER\\\n",
       "EXkojhASERERmXDnCKElHBkkorLCQEhERERkorQDIRFRWWEgJCIiIjLBQEhEnoKBkIiIiMgEAyER\\\n",
       "eQoGQiIiIiITDIRE5Cm4yigREREREZGH4gghERERkQmOEBKRp2AgJCIiIjLBQEhEnoKBkIiIiMgE\\\n",
       "AyEReQoGQiIiIiITDIRE5CkYCImIiIgsYNAjIk/AVUaJiIiIiIg8FEcIiYiIiExwyigReQoGQiIi\\\n",
       "IiITDIRE5CkYCImIiIhMMBASkadgICQiIiIywUBIRJ6CgZCIiIjIBAMhEXkKBkIiIiIiEwyEROQp\\\n",
       "uO0EERERERGRh+IIIREREZEJjhASkadgICQiIiIywUBIRJ6CgZCIiIjIBAMhEXkKBkIiIiIiEwyE\\\n",
       "ROQpGAiJiIiITDAQEpGn4CqjREREREREHoojhEREREQmOEJIRJ6CgZCIiIjIBAMhEXkKBkIiIiIi\\\n",
       "EwyEROQpGAiJiIiITDAQEpGnYCAkIiIiMsFASESegquMEhEREREReSiOEBIRERGZ4AghEXkKBkIi\\\n",
       "IiIiCxj0iMgTMBASERERmeAIIRF5CgZCIiIiIhMMhETkKRgIiYiIiEwwEBKRp2AgJCIiIjLBQEhE\\\n",
       "noLbThAREREREXkojhASERERmeAIIRF5CgZCIiIiIhMMhETkKRgIiYiIiEwwEBKRp2AgJCIiIjLB\\\n",
       "QEhEnoKBkIiIiMgEAyEReQquMkpEREREROShOEJIREREZMKdI4TW6oui6FA7RESuwBFCIiIiIhNF\\\n",
       "gdDelyt07drVJe0QETmCgZCIiIjIhDsDoSiKRq+QkBAAwPbt291xK0RENnHKKBFVetOnTy/rLhBR\\\n",
       "BePMlNEzZ84gNjZWKu/UqRMWLlxY7Pn37t1zrpNERC7AQEhERERkwplAaDAYcOrUKan81KlTxQbC\\\n",
       "/fv3S7/mM4REVBYYCImIiIhcQCaToVmzZtL7Tp06FXtOXFwcAECpVLqtX0REtjAQEhEREZlwZoSw\\\n",
       "WbNmOHnypEPXAB4ESbVa7XgniYhcgIvKEJFdRo8eDUEQMH/+/GLrLly4ELVr14a3tzc6dOiAgwcP\\\n",
       "Gh0vLCzEuHHjEBoaCn9/f/Tp0we3b992U8+JiBznzkVlbt68aXSOXq93dfeJiOzGQEhExfr111+x\\\n",
       "f/9+REVFFVt37dq1mDhxIqZNm4ajR4+iRYsWSEhIwJ07d6Q6b7zxBn7//XckJiZi165dSElJQe/e\\\n",
       "vd15C0REDnFnIKxRo4b0az8/P/j7+8Pf3x99+/Z19W0QERWLgZCIbLp16xZeffVVrFq1CgqFotj6\\\n",
       "c+fOxciRIzFs2DA0bdoUS5Ysga+vL5YtWwYAyMrKwjfffIO5c+eiS5cuaNOmDb799lskJSUZLa5A\\\n",
       "RFTWSmMPwry8POn1008/uajnRET2YyAkIqsMBgMGDRqEt99+22ihBGs0Gg2OHDmC+Ph4qUwmkyE+\\\n",
       "Ph779u0DABw5cgRardaoTuPGjVGzZk2pDhFRWSvNfQgffhERlTYuKkNEVn3yySfw8vLCa6+9Zlf9\\\n",
       "jIwM6PV6hIeHG5WHh4fj/PnzAIC0tDQolUoEBweb1UlLS7PatlqtNlp0ITs72867ICIiIiJrOEJI\\\n",
       "RACAVatWSc+x+Pv7Y9euXfjss8+wfPnyEk+JcoWZM2ciKChIej38DA4Rkau5c4SQiKg8YSAkIgBA\\\n",
       "jx49cPz4cemVlJSEO3fuoGbNmvDy8oKXlxeuX7+ON998E7Vr17bYRtWqVSGXy81WDL19+zYiIiIA\\\n",
       "ABEREdBoNMjMzLRax5LJkycjKytLet24caNE90tEZAsDIRF5Ck4ZJSIAQEBAAAICAqT3o0aNQvfu\\\n",
       "3Y3qJCQkYNCgQRg2bJjFNpRKJdq0aYNt27ahV69eAB48h7ht2zaMHz8eANCmTRsoFAps27YNffr0\\\n",
       "AQBcuHABycnJ0gbNlqhUKqhUqpLcIhGR3ZzZh5CIqCJiICQii0JDQxEaGmpUplAoEBERgUaNGkll\\\n",
       "Xbt2xfPPPy8FvokTJ2LIkCFo27Yt2rdvj/nz5yMvL08KkUFBQRg+fDgmTpyIkJAQBAYG4tVXX0Vc\\\n",
       "XBweeeSR0rtBIiIbGAiJyFMwEBJRiVy5cgUZGRnS+/79+yM9PR1Tp05FWloaWrZsic2bNxstNDNv\\\n",
       "3jzIZDL06dMHarUaCQkJWLRoUVl0n4jIIgZCIvIUDIREZLd//vnHrrLx48dLI4aWeHt7Y+HChVi4\\\n",
       "cKELe0dE5DoMhETkKbioDBERERERkYfiCCERERGRCY4QEpGnYCAkIiIiMsFASESegoGQiIiIyAQD\\\n",
       "IRF5CgZCIiIiIhMMhETkKRgIiYiIiEwwEBKRp+Aqo0RERERERB6KI4REREREJjhCSESegoGQiIiI\\\n",
       "yAQDIRF5CgZCIiIiIhMMhETkKRgIiYiIiEwwEBKRp2AgJCIiIjLBQEhEnoKrjBIREREREXkojhAS\\\n",
       "UYUkimJZd4GIyrmS/H8iJyfH7pG/nJwcp69DRFTWGAiJqELKycnB9OnTy7obRFSO5eTkICgoyKFz\\\n",
       "WrdujVOnTqFGjRoOX69169YOn0NEVNYEkT9mJ6IKyGAwICUlBQEBAR79/E52djZq1KiBGzduIDAw\\\n",
       "sKy7U2b4OTzAz+EBURSRk5ODqKgoyGSOPx0zdOhQHD161KFzWrdujeXLlzt8LSKissZASERUgWVn\\\n",
       "ZyMoKAhZWVkeHQD4OTzAz4GIiBzFRWWIiIiIiIg8FAMhERERERGRh2IgJCKqwFQqFaZNmwaVSlXW\\\n",
       "XSlT/Bwe4OdARESO4jOEREREREREHoojhERERERERB6KgZCIiIiIiMhDMRASERERERF5KAZCIqJy\\\n",
       "RKvVYtKkSYiJiYGfnx+ioqIwePBgpKSkFHvuwoULUbt2bXh7e6NDhw44ePCg0fHCwkKMGzcOoaGh\\\n",
       "8Pf3R58+fXD79m133UqJFHcvphITE9G4cWN4e3sjJiYGGzduNDouiiKmTp2KyMhI+Pj4ID4+Hpcu\\\n",
       "XXLnLZTYzJkz0a5dOwQEBKBatWro1asXLly4UOx5lfGzICIi92EgJCIqR/Lz83H06FFMmTIFR48e\\\n",
       "xS+//IILFy6gR48eNs9bu3YtJk6ciGnTpuHo0aNo0aIFEhIScOfOHanOG2+8gd9//x2JiYnYtWsX\\\n",
       "UlJS0Lt3b3ffksPsuZeHJSUlYcCAARg+fDiOHTuGXr16oVevXjh9+rRUZ9asWViwYAGWLFmCAwcO\\\n",
       "wM/PDwkJCSgsLCyt23LYrl27MG7cOOzfvx9bt26FVqvF008/jby8PKvnVNbPgoiI3EgkIqJy7eDB\\\n",
       "gyIA8fr161brtG/fXhw3bpz0Xq/Xi1FRUeLMmTNFURTFzMxMUaFQiImJiVKdc+fOiQDEffv2ua/z\\\n",
       "TijuXkz169dP7Natm1FZhw4dxFdeeUUURVE0GAxiRESEOHv2bOl4ZmamqFKpxNWrV7vhDtzjzp07\\\n",
       "IgBx165dVut4ymdBRESuwxFCIqJyLisrC4IgIDg42OJxjUaDI0eOID4+XiqTyWSIj4/Hvn37AABH\\\n",
       "jhyBVqs1qtO4cWPUrFlTqlMe2HMvpvbt22dUHwASEhKk+teuXUNaWppRnaCgIHTo0KFc3XtxsrKy\\\n",
       "AAAhISFW63jKZ0FERK7DQEhEVI4VFhZi0qRJGDBgAAIDAy3WycjIgF6vR3h4uFF5eHg40tLSAABp\\\n",
       "aWlQKpVmofLhOuWBPfdiKi0trdh7Lyqzt83yxmAwYMKECejYsSOaN29utZ4nfBZERORaDIRERGVo\\\n",
       "1apV8Pf3l15///23dEyr1aJfv34QRRGLFy8uw15SWRs3bhxOnz6NNWvWlHVXiIiokvEq6w4QEXmy\\\n",
       "Hj16oEOHDtL76OhoAP8fBq9fv47t27dbHR0EgKpVq0Iul5utGHr79m1EREQAACIiIqDRaJCZmWk0\\\n",
       "SvhwnfLAnnsxFRERUey9F5VFRkYa1WnZsqULe+8e48ePxx9//IHdu3ejevXqNutW9s+CiIhcjyOE\\\n",
       "RERlKCAgAPXr15dePj4+Uhi8dOkS/vrrL4SGhtpsQ6lUok2bNti2bZtUZjAYsG3bNsTFxQEA2rRp\\\n",
       "A4VCYVTnwoULSE5OluqUB/bci6m4uDij+gCwdetWqX6dOnUQERFhVCc7OxsHDhwoV/duShRFjB8/\\\n",
       "Hr/++iu2b9+OOnXqFHtOZf0siIjIjcp6VRsiIvp/Go1G7NGjh1i9enXx+PHjYmpqqvRSq9VSvS5d\\\n",
       "uoiff/659H7NmjWiSqUSly9fLp49e1YcNWqUGBwcLKalpUl1Ro8eLdasWVPcvn27ePjwYTEuLk6M\\\n",
       "i4sr1fuzR3H3MmjQIPHdd9+V6u/du1f08vISP/30U/HcuXPitGnTRIVCIZ46dUqq8/HHH4vBwcHi\\\n",
       "b7/9Jp48eVLs2bOnWKdOHbGgoKDU789eY8aMEYOCgsSdO3ca/TnIz8+X6njKZ0FERO7DQEhEVI5c\\\n",
       "u3ZNBGDxtWPHDqlerVq1xGnTphmd+/nnn4s1a9YUlUql2L59e3H//v1GxwsKCsSxY8eKVapUEX19\\\n",
       "fcXnn39eTE1NLYW7cpyte+ncubM4ZMgQo/o//vij2LBhQ1GpVIrNmjUTN2zYYHTcYDCIU6ZMEcPD\\\n",
       "w0WVSiV27dpVvHDhQmncitOs/Tn49ttvpTqe8lkQEZH7CKIoimUzNklERERERERlic8QEhERERER\\\n",
       "eSgGQiIiIiIiIg/FQEhEREREROShGAiJiIiIiIg8FAMhERERERGRh2IgJCIiIiIi8lAMhERERERE\\\n",
       "RB6KgZCIiIiIiMhDMRASEVGF8M033+Dpp592+3U2b96Mli1bwmAwuP1aREREZY2BkIiIyr3CwkJM\\\n",
       "mTIF06ZNc/u1nnnmGSgUCqxatcrt1yIiIiprDIRERFTu/fTTTwgMDETHjh1L5XpDhw7FggULSuVa\\\n",
       "REREZYmBkIiISk16ejoiIiLw0UcfSWVJSUlQKpXYtm2b1fPWrFmD7t27G5U98cQTmDBhglFZr169\\\n",
       "MHToUOl97dq18eGHH2Lw4MHw9/dHrVq1sH79eqSnp6Nnz57w9/dHbGwsDh8+bNRO9+7dcfjwYVy5\\\n",
       "csX5myUiIqoAGAiJiKjUhIWFYdmyZXj//fdx+PBh5OTkYNCgQRg/fjy6du1q9bw9e/agbdu2Tl1z\\\n",
       "3rx56NixI44dO4Zu3bph0KBBGDx4MAYOHIijR4+iXr16GDx4MERRlM6pWbMmwsPD8ffffzt1TSIi\\\n",
       "ooqCgZCIiErVs88+i5EjR+Kll17C6NGj4efnh5kzZ1qtn5mZiaysLERFRTl9vVdeeQUNGjTA1KlT\\\n",
       "kZ2djXbt2qFv375o2LAhJk2ahHPnzuH27dtG50VFReH69etOXZOIiKiiYCAkIqJS9+mnn0Kn0yEx\\\n",
       "MRGrVq2CSqWyWregoAAA4O3t7dS1YmNjpV+Hh4cDAGJiYszK7ty5Y3Sej48P8vPznbomERFRRcFA\\\n",
       "SEREpe7KlStISUmBwWDAP//8Y7NuaGgoBEHA/fv3i21Xr9eblSkUCunXgiBYLTPdZuLevXsICwsr\\\n",
       "9ppEREQVGQMhERGVKo1Gg4EDB6J///744IMPMGLECLPRuYcplUo0bdoUZ8+eNTtmOs3z6tWrLulj\\\n",
       "YWEhrly5glatWrmkPSIiovKKgZCIiErVf//7X2RlZWHBggWYNGkSGjZsiJdfftnmOQkJCdizZ49Z\\\n",
       "+W+//YZffvkFV65cwf/+9z+cPXsW169fx61bt0rUx/3790OlUiEuLq5E7RAREZV3DIRERFRqdu7c\\\n",
       "ifnz52PlypUIDAyETCbDypUr8ffff2Px4sVWzxs+fDg2btyIrKwso/Ju3bph1qxZaNq0KXbv3o1F\\\n",
       "ixbh4MGDWLlyZYn6uXr1arz00kvw9fUtUTtERETlnSA+vM42ERFROdW3b1+0bt0akydPBvBgH8KW\\\n",
       "LVti/vz5Lr1ORkYGGjVqhMOHD6NOnToubZuIiKi84QghERFVCLNnz4a/v7/br/PPP/9g0aJFDINE\\\n",
       "ROQROEJIREQVkrtGCImIiDwJAyEREREREZGH4pRRIiIiIiIiD8VASERERERE5KEYCImIiIiIiDwU\\\n",
       "AyEREREREZGHYiAkIiIiIiLyUAyEREREREREHoqBkIiIiIiIyEMxEBIREREREXkoBkIiIiIiIiIP\\\n",
       "xUBIRERERETkoRgIiYiIiIiIPBQDIRERERERkYdiICQiIiIiIvJQDIREREREREQe6v8AGufjH7CC\\\n",
       "AygAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[27] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAeipJREFUeJzt3Xd0VEXDBvDnbk9PSEJCIIFID0V6R1CiQamKgEhVBFRABRXF\\\n",
       "QtMXrDQVIzYUEUIsIKII0iEQSkCBANIJgRQC6WXb/f7gZD+2Jbub3bR9fufskZ07M3fuArJP5t4Z\\\n",
       "QRRFEUREREREROR2JFU9ACIiIiIiIqoaDIRERERERERuioGQiIiIiIjITTEQEhERERERuSkGQiIi\\\n",
       "IiIiIjfFQEhEREREROSmGAiJiIiIiIjcFAMhERERERGRm2IgJCIiIiIiclMMhERERERERG6KgZCI\\\n",
       "iIiIiMhNMRASERERERG5KQZCIiIiIiIiN8VASERERERE5KYYCImIyCG7du2CIAjYtWtXVQ+FnOzQ\\\n",
       "oUNQKBS4cuVKpZ87KysLXl5e+OOPPyr93ERE7oiBkIiIyrRixQqsWrWqqofhkB9//BFLly6t6mEA\\\n",
       "APR6PT744ANERkZCpVKhbdu2WLt2rc3ts7OzMXnyZAQHB8PLywv3338/kpKSzOrFxcVhzJgxaNq0\\\n",
       "KQRBQN++fe0e65tvvolRo0ahYcOGdretqMDAQDzzzDN4++23K/3cRETuSBBFUazqQRARUfXVunVr\\\n",
       "BAUFmc0E6vV6qNVqKBQKSCTV8+eLAwcOxMmTJ3H58uWqHgpmz56N9957D5MmTULnzp2xceNGbN68\\\n",
       "GWvXrsUTTzxRZlu9Xo/evXvjn3/+wauvvoqgoCCsWLECKSkpOHr0KJo2bWqo27dvXxw9ehSdO3fG\\\n",
       "8ePH0bZtW7tmcY8fP4727dsjISEB3bt3d/RyK+T06dOIiorC9u3b8cADD1TJGIiI3AUDIRGRDQoK\\\n",
       "CuDl5VXVw6gS1gJhTVBdAmFqaioiIyMxefJkfPrppwAAURTRp08fXLp0CZcvX4ZUKrXafv369Rg5\\\n",
       "ciTi4+Px+OOPAwAyMzPRrFkzPPzww/jxxx8NdVNSUlC/fn1IJBKHfu9efPFFbNiwAZcvX4YgCI5d\\\n",
       "sBO0adMG7du3x/fff19lYyAicgfV80e6REQulJqaiokTJyIsLAxKpRKRkZF47rnnoFarAQCrVq2C\\\n",
       "IAjYvXs3nn/+edStWxcNGjQwtF+xYgVatWoFpVKJsLAwTJ06FdnZ2UbnOHfuHIYNG4bQ0FCoVCo0\\\n",
       "aNAATzzxBHJycgx1tm3bhl69esHf3x/e3t5o3rw53njjjXLHb0u7kpISzJ07F02aNIFSqUR4eDhm\\\n",
       "zZqFkpISs/5++OEHdOnSBZ6enggICMB9992HrVu3AgAaNWqEU6dOYffu3RAEwegWRGvPEMbHx6Nj\\\n",
       "x47w8PBAUFAQxowZg9TUVKM6EyZMgLe3N1JTUzF06FB4e3sjODgYr7zyCnQ6XbmfwcaNGzFgwADD\\\n",
       "72Hjxo3xzjvvGLXt27cvNm/ejCtXrhjG3qhRI6t9TpgwwVDP9DVv3rxyx1TeeDUaDZ5//nlDmSAI\\\n",
       "eO6553Dt2jUcOHCgzPY//fQTQkJC8NhjjxnKgoODMWLECGzcuNHo9zU8PLxCM7YbNmzAAw88YBYG\\\n",
       "rX0OjRo1woQJEwzvS//+7Nu3Dy+88AKCg4Ph7++PKVOmQK1WIzs7G+PGjUNAQAACAgIwa9YsWPrZ\\\n",
       "9IMPPohNmzZZPEZERM4jq+oBEBFVpuvXr6NLly6G57FatGiB1NRU/PTTTygsLIRCoTDUff755xEc\\\n",
       "HIw5c+agoKAAADBv3jzMnz8f0dHReO6553D27Fl8/vnnOHz4MPbv3w+5XA61Wo2YmBiUlJRg+vTp\\\n",
       "CA0NRWpqKn7//XdkZ2fDz88Pp06dwsCBA9G2bVssWLAASqUS58+fx/79+8scvy3t9Ho9Bg8ejH37\\\n",
       "9mHy5Mlo2bIlTpw4gSVLluC///7Dhg0bDHXnz5+PefPmoUePHliwYAEUCgUSExOxY8cOPPTQQ1i6\\\n",
       "dCmmT58Ob29vvPnmmwCAkJAQq+NbtWoVnnrqKXTu3BmLFi1Ceno6li1bhv379+PYsWPw9/c31NXp\\\n",
       "dIiJiUHXrl3x0Ucf4e+//8bHH3+Mxo0b47nnnivzc1i1ahW8vb0xc+ZMeHt7Y8eOHZgzZw5yc3Px\\\n",
       "4YcfArjzHFxOTg6uXbuGJUuWAAC8vb2t9jllyhRER0cblW3ZsgVr1qxB3bp1DWU3b94sc2ylfHx8\\\n",
       "oFQqAQDHjh2Dl5cXWrZsaVSnS5cuhuO9evWy2texY8fQoUMHs6DXpUsXrFy5Ev/99x/atGlj07jK\\\n",
       "kpqaiqtXr6JDhw4V7qv0z/78+fNx8OBBrFy5Ev7+/khISEBERAQWLlyIP/74Ax9++CFat26NcePG\\\n",
       "GbXv2LEjlixZglOnTqF169YVHg8REVkhEhG5kXHjxokSiUQ8fPiw2TG9Xi+Koih+++23IgCxV69e\\\n",
       "olarNRzPyMgQFQqF+NBDD4k6nc5Q/umnn4oAxG+++UYURVE8duyYCECMj4+3Oo4lS5aIAMTMzEy7\\\n",
       "xm9Lu9WrV4sSiUTcu3evUXlsbKwIQNy/f78oiqJ47tw5USKRiI8++qjR9Yji/38WoiiKrVq1Evv0\\\n",
       "6WN2np07d4oAxJ07d4qiKIpqtVqsW7eu2Lp1a7GoqMhQ7/fffxcBiHPmzDGUjR8/XgQgLliwwKjP\\\n",
       "9u3bix07diz7QxBFsbCw0KxsypQpoqenp1hcXGwoGzBggNiwYcNy+7Pk3Llzop+fn/jggw8a/TkA\\\n",
       "YNPr22+/NRrHPffcY3aOgoICEYD4+uuvlzkWLy8v8emnnzYr37x5swhA3LJli8V21n7vrPn7779F\\\n",
       "AOKmTZvMjgEQ586da1besGFDcfz48Yb3pX9/YmJijP4cde/eXRQEQXz22WcNZVqtVmzQoIHFMSYk\\\n",
       "JIgAxLi4OJvHT0RE9uMto0TkNvR6PTZs2IBBgwahU6dOZsdNb5GbNGmS0XNdf//9N9RqNV566SWj\\\n",
       "mZpJkybB19cXmzdvBgD4+fkBAP766y8UFhZaHEvpTNnGjRuh1+ttvgZb2sXHx6Nly5Zo0aIFbt68\\\n",
       "aXiVLs6xc+dOAHduDdTr9ZgzZ47ZzJMjz44dOXIEGRkZeP7556FSqQzlAwYMQIsWLQyfz92effZZ\\\n",
       "o/e9e/fGxYsXyz2Xh4eH4dd5eXm4efMmevfujcLCQpw5c8busZsqKCjAo48+ioCAAKxdu9boz8G2\\\n",
       "bdtsesXExBjaFBUVGWYL71b6ORUVFZU5noq2t1VWVhYAICAgoMJ9TZw40ejPUdeuXSGKIiZOnGgo\\\n",
       "k0ql6NSpk8Xf89Ix2DojS0REjuEto0TkNjIzM5Gbm2vz7WeRkZFG70v3ZGvevLlRuUKhwD333GM4\\\n",
       "HhkZiZkzZ2Lx4sVYs2YNevfujcGDB2PMmDGGsDhy5Eh89dVXeOaZZ/D666+jX79+eOyxx/D444+X\\\n",
       "+fyXLe3OnTuH06dPIzg42GIfGRkZAIALFy5AIpEgKirKps+jPNY+HwBo0aIF9u3bZ1SmUqnMxhgQ\\\n",
       "EIDbt2+Xe65Tp07hrbfewo4dO5Cbm2t07O7nNB01adIkXLhwAQkJCQgMDDQ6ZnpbqS08PDwsPr9Z\\\n",
       "XFxsOO7K9vYSnfDcXkREhNH70j/74eHhZuWWfs9Lx1CVC9sQEbkDBkIiIisq8iX7448/xoQJE7Bx\\\n",
       "40Zs3boVL7zwAhYtWoSDBw+iQYMG8PDwwJ49e7Bz505s3rwZW7ZsQVxcHB544AFs3brV6oqTtrTT\\\n",
       "6/Vo06YNFi9ebLEP0y/kVaWsVTXLkp2djT59+sDX1xcLFixA48aNoVKpkJSUhNdee82uGVdLli1b\\\n",
       "hrVr1+KHH35Au3btzI6npaXZ1I+fn5/hz1C9evWwc+dOiKJoFHBu3LgBAAgLCyuzr3r16hnq3s3W\\\n",
       "9rYqDb+2hPJS1sKjtd9fS+WW+igdQ1BQkM1jISIi+/GWUSJyG8HBwfD19cXJkycdal+6SffZs2eN\\\n",
       "ytVqNS5dumS2iXebNm3w1ltvYc+ePdi7dy9SU1MRGxtrOC6RSNCvXz8sXrwYycnJ+N///ocdO3YY\\\n",
       "bum0prx2jRs3xq1bt9CvXz9ER0ebvUpn8Bo3bgy9Xo/k5OQyz2frDI21z6e0zFmbnO/atQtZWVlY\\\n",
       "tWoVXnzxRQwcOBDR0dEWb3O0d3Zp7969eOWVV/DSSy9h9OjRFuvUq1fPpldcXJyhTbt27VBYWIjT\\\n",
       "p08b9ZWYmGg4XpZ27dohKSnJLOwmJibC09MTzZo1s+s6rWnRogUA4NKlSxaP5+XlmZWVzjg7W+kY\\\n",
       "TBfiISIi52IgJCK3IZFIMHToUGzatAlHjhwxO17ebXLR0dFQKBRYvny5Ud2vv/4aOTk5GDBgAAAg\\\n",
       "NzcXWq3WqG2bNm0gkUgMt/3dunXLrP/SUGDp1sBStrQbMWIEUlNT8eWXX5rVLSoqMqyYOnToUEgk\\\n",
       "EixYsMAsaNx9fV5eXmbbaljSqVMn1K1bF7GxsUbX8Oeff+L06dOGz6eiSmeY7h6jWq3GihUrzOp6\\\n",
       "eXnZfAvpjRs3MGLECPTq1cuwUqkljjxDOGTIEMjlcqMxiqKI2NhY1K9fHz169DAax5kzZ6DRaAxl\\\n",
       "jz/+ONLT0/HLL78Yym7evIn4+HgMGjTI4vOFjqhfvz7Cw8Mt/v0AYLbFyJ9//oni4mKXbA1x9OhR\\\n",
       "+Pn5oVWrVk7vm4iI/h9vGSUit7Jw4UJs3boVffr0MWzJcOPGDcTHx2Pfvn1G2yKYCg4OxuzZszF/\\\n",
       "/nz0798fgwcPxtmzZ7FixQp07twZY8aMAQDs2LED06ZNw/Dhw9GsWTNotVqsXr0aUqkUw4YNAwAs\\\n",
       "WLAAe/bswYABA9CwYUNkZGRgxYoVaNCgQZnbD9jSbuzYsVi/fj2effZZ7Ny5Ez179oROp8OZM2ew\\\n",
       "fv16/PXXX+jUqROaNGmCN998E++88w569+6Nxx57DEqlEocPH0ZYWBgWLVoE4M7y/59//jneffdd\\\n",
       "NGnSBHXr1jUsUHM3uVyO999/H0899RT69OmDUaNGGbadaNSoEWbMmOHob5uRHj16ICAgAOPHj8cL\\\n",
       "L7wAQRCwevVqi6GkY8eOiIuLw8yZM9G5c2d4e3tj0KBBFvt94YUXkJmZiVmzZmHdunVGx9q2bYu2\\\n",
       "bdsCcOwZwgYNGuCll17Chx9+CI1Gg86dO2PDhg3Yu3cv1qxZY3Qb5ezZs/Hdd9/h0qVLhn0TH3/8\\\n",
       "cXTr1g1PPfUUkpOTERQUhBUrVkCn02H+/PlG59qzZw/27NkD4M5zswUFBXj33XcBAPfddx/uu+++\\\n",
       "Msc6ZMgQ/Prrr2a3twLA6dOn8cgjj2Dw4MG4fv06li1bBj8/PyQkJGDt2rUYNWqU3Z+NNdu2bcOg\\\n",
       "QYP4DCERkatVxdKmRERV6cqVK+K4cePE4OBgUalUivfcc484depUsaSkRBTF/18239LWFKJ4Z5uJ\\\n",
       "Fi1aiHK5XAwJCRGfe+458fbt24bjFy9eFJ9++mmxcePGokqlEuvUqSPef//94t9//22os337dnHI\\\n",
       "kCFiWFiYqFAoxLCwMHHUqFHif//9V+bYbW2nVqvF999/X2zVqpWoVCrFgIAAsWPHjuL8+fPFnJwc\\\n",
       "o7rffPON2L59e0O9Pn36iNu2bTMcT0tLEwcMGCD6+PiIAAxbBJhuO1EqLi7O0F+dOnXE0aNHi9eu\\\n",
       "XTOqM378eNHLy8vs+ubOnSva8k/T/v37xW7duokeHh5iWFiYOGvWLPGvv/4yG09+fr745JNPiv7+\\\n",
       "/iKAMreg6NOnj9UtJCxtt2AvnU4nLly4UGzYsKGoUCjEVq1aiT/88INZvdItOS5dumRUfuvWLXHi\\\n",
       "xIliYGCg6OnpKfbp08fin9HSz9DR60hKShIBmG1bAkCcOXOmOHz4cNHDw0OsV6+e+Omnn4qxsbGi\\\n",
       "p6en+Mwzz4iiaP3vT+m4TLdMsfRn4fTp0yIAo78zRETkGoIouuA+DyIiIqqx+vXrh7CwMKxevdpQ\\\n",
       "JggC5s6di3nz5rn8/C+99BL27NmDo0ePcoaQiMjF+AwhERERGVm4cCHi4uIMW4lUpqysLHz11Vd4\\\n",
       "9913GQaJiCoBnyEkIiIiI127doVara6ScwcGBiI/P79Kzk1E5I44Q0hEREREROSmOENIRERE5eKS\\\n",
       "A0REtRNnCImIiIiIiNwUAyEREREREZGb4i2jRFQj6fV6XL9+HT4+PlyJkIiMiKKIvLw8hIWFQSKx\\\n",
       "/2ffY8eORVJSkl1tOnToYLRNBxFRTcFASEQ10vXr1/HVV19V9TCIqJqaP38+UlJS0KBBA7vajR07\\\n",
       "Fj/88IPd50tOTgYAhkIiqnEYCImoRvLx8QEAzg4SkVWl/5+wh70zg462tfT/rtKFexYtWoQ33njD\\\n",
       "7LhSqURxcbHD4yMisoSBkIhqJAZBIipPRf8/YWt7Z6/A+u2331osLykpcep5iIgABkIiIiIiM4Ig\\\n",
       "2BUo7Q2Fd9c3Pc9///1ncTwAIJPJoNVq7ToXEVFZGAiJiIiITDgSCJOTk9GqVStDWe/evREbG+vU\\\n",
       "cTVv3typ/RERMRASERERmbA3EJYqXVym9NfOCIRjx441/PrUqVMV7o+I6G4MhEREREQmHA2EUVFR\\\n",
       "hl/37t27wuNYtGiRYdXTu/smInIWBkIiIiIiE44EwqioKKfO4N292mhwcDBnB4nIJezfrZWIiIiI\\\n",
       "XOruMOjv74+MjIwqHhER1VYMhEREREQmSmcIbX3Zq1u3bmZtBUGATCYz24ewpKQEnp6e8PT0xGuv\\\n",
       "veaU6yMiKsVASERERGTC1YEwMTHRYrlOp8Obb75pVFZUVGR4ffDBBw5dDxGRNXyGkIiIiMiEo0HP\\\n",
       "Vs7ezJ6IyFEMhEREREQmXB0IiYiqCwZCIiIiIhMMhETkLvgMIRERERERkZviDCERERGRCc4QEpG7\\\n",
       "4AwhEdnsvffegyAIeOmll8qsFx8fjxYtWkClUqFNmzb4448/jI6Loog5c+agXr168PDwQHR0NM6d\\\n",
       "O+fCkRMR2cfVq4wSEVUXDIREZJPDhw/jiy++QNu2bcusl5CQgFGjRmHixIk4duwYhg4diqFDh+Lk\\\n",
       "yZOGOh988AGWL1+O2NhYJCYmwsvLCzExMSguLnb1ZRAR2YSBkIjcBQMhEZUrPz8fo0ePxpdffomA\\\n",
       "gIAy6y5btgz9+/fHq6++ipYtW+Kdd95Bhw4d8OmnnwK4Mzu4dOlSvPXWWxgyZAjatm2L77//Htev\\\n",
       "X8eGDRsq4WqIiMrHQEhE7oKBkIjKNXXqVAwYMADR0dHl1j1w4IBZvZiYGBw4cAAAcOnSJaSlpRnV\\\n",
       "8fPzQ9euXQ11LCkpKUFubq7Ri4jIVRgIichdMBASUZnWrVuHpKQkLFq0yKb6aWlpCAkJMSoLCQlB\\\n",
       "Wlqa4XhpmbU6lixatAh+fn6GV3h4uD2XQUREREQWMBASkVUpKSl48cUXsWbNGqhUqiody+zZs5GT\\\n",
       "k2N4paSkVOl4iKh24wwhEbkLbjtBRFYdPXoUGRkZ6NChg6FMp9Nhz549+PTTT1FSUgKpVGrUJjQ0\\\n",
       "FOnp6UZl6enpCA0NNRwvLatXr55RnXbt2lkdi1KphFKprOglERHZhEGPiNwFZwiJyKp+/frhxIkT\\\n",
       "OH78uOHVqVMnjB49GsePHzcLgwDQvXt3bN++3ahs27Zt6N69OwAgMjISoaGhRnVyc3ORmJhoqENE\\\n",
       "VB1wdpCI3AFnCInIKh8fH7Ru3dqozMvLC4GBgYbycePGoX79+oZnDF988UX06dMHH3/8MQYMGIB1\\\n",
       "69bhyJEjWLlyJQAY9jF899130bRpU0RGRuLtt99GWFgYhg4dWqnXR0RkjT1hj6GQiGoyBkIiqpCr\\\n",
       "V69CIvn/mw169OiBH3/8EW+99RbeeOMNNG3aFBs2bDAKlrNmzUJBQQEmT56M7Oxs9OrVC1u2bKny\\\n",
       "5xSJiEoxEBKRuxBEURSrehBERPbKzc3F4sWL+UWMiCyaN28ecnJy4Ovra1e7Vq1aITk5GUFBQUY/\\\n",
       "7CqLXq/HzZs3ERUVhVOnTjkyXCKiKsNnCImIiIiIiNwUbxklIiIiMsFbRonIXTAQEhEREZlgICQi\\\n",
       "d8FASES13ty5c6t6CETkRPPnz3f5ORgIichdMBASERERmWAgJCJ3wUBIREREZIKBkIjcBVcZJSIi\\\n",
       "IiIiclOcISQiIiIywRlCInIXDIREREREJhgIichdMBASERERmWAgJCJ3wUBIREREZIKBkIjcBQMh\\\n",
       "ERERkQkGQiJyF1xllIiIiIiIyE1xhpCIiIjIBGcIichdMBASERERmWAgJCJ3wUBIREREZIKBkIjc\\\n",
       "BQMhERERkQkGQiJyFwyERERERBYw6BGRO+Aqo0RERERERG6KM4REREREJnjLKBG5CwZCIiIiIhMM\\\n",
       "hETkLhgIiYiIiEwwEBKRu2AgJCIiIjLBQEhE7oKBkIiIiMgEAyERuQsGQiIiIiITDIRE5C647QQR\\\n",
       "EREREZGb4gwhERERkQnOEBKRu2AgJCIiIjLBQEhE7oK3jBIRERGZKA2Etr6c0f/dUlJSnHIeIqLy\\\n",
       "MBASERERmXB1ICxPRESExfKxY8c6/VxE5N4YCImIiIhMuDoQiqJoeJlKSUkxq9e0aVMAwA8//OD4\\\n",
       "RRERWcBASERERFSNWJod/O+//6pgJETkDrioDBEREZEJRxaVSU5ORqtWrQzlvXv3RmxsrMNjUKlU\\\n",
       "DrclIrIVAyERERGRCUdXGU1OTjb6dUUCIRFRZWAgJCIiIjLhaCCMiooy/Lp3794VGkNxcXGF2hMR\\\n",
       "2YKBkIiIiMiEI4EwKioKp06dqvC5r169avYc4d23ohIRORMDIREREZEJV29M361bNyQmJpr1I5VK\\\n",
       "odVqrfY9ZswYu89FRFQWrjJKREREVMlMw2ApnU4H4M4soSWrV6922ZiIyD1xhpCIiIjIhKtnCC3t\\\n",
       "P3i38PDwcusQETkDAyERERGRBY4EPSKimoaBkIiIiMiEq2cIiYiqCwZCIiIiIhMMhETkLhgIiYiI\\\n",
       "iEwwEBKRu2AgJCIiIjLBQEhE7oLbThAREREREbkpzhASERERmeAMIRG5CwZCIiIiIhMMhETkLhgI\\\n",
       "iYiIiEwwEBKRu2AgJCIiIjLBQEhE7oKBkIiIiMgEAyERuQuuMkpEREREROSmOENIRFSNWZt5EEWx\\\n",
       "kkdSdTIyMhASEuJw+/I+q3r16iEtLc3h/msad/qzUxGcISQid8FASERUw/j5+VX1ECrV1atXHW7r\\\n",
       "6elZbp2MjAyH+6fai4GQiNwFAyERUQ1z48aNqh5CpTp27JjDbc+cOVPmca1WC71e73D/VHsxEBKR\\\n",
       "u+AzhERENYS3tzdyc3Ph4eFR1UOpVC1atHCoXZ8+fRAeHl5mnaZNmzrUN9V+pYHQ1hcRUU3FQEhE\\\n",
       "Vi1atAidO3eGj48P6tati6FDh+Ls2bPltouPj0eLFi2gUqnQpk0b/PHHH0bHRVHEnDlzUK9ePXh4\\\n",
       "eCA6Ohrnzp1z1WXUaKIoGl55eXnw8fGp6iFVup49e1o9dv78eaPPSK1W48aNG9Bqtdi1a1eZ/d64\\\n",
       "cQOXL192aEw9evTAwYMHyxwb1WwMhETkLhgIiciq3bt3Y+rUqTh48CC2bdsGjUaDhx56CAUFBVbb\\\n",
       "JCQkYNSoUZg4cSKOHTuGoUOHYujQoTh58qShzgcffIDly5cjNjYWiYmJ8PLyQkxMDIqLiyvjsqiG\\\n",
       "kUgkWLVqlVFZQEAARFFE48aNjcrlcjlCQ0MhlUrL7DMlJQVhYWEOjScnJwf79+9H165dsW/fPmi1\\\n",
       "Wof6caW+ffti0KBBDCpERFQuPkNIRFZt2bLF6P2qVatQt25dHD16FPfdd5/FNsuWLUP//v3x6quv\\\n",
       "AgDeeecdbNu2DZ9++iliY2MhiiKWLl2Kt956C0OGDAEAfP/99wgJCcGGDRvwxBNPuPaiqEYaP348\\\n",
       "xo0bh+zsbPj5+UEiceznmaIoIjw8HKmpqQ61f/rpp+Hr62tUJpVKUVxcDJVK5VCfztSzZ0/s27fP\\\n",
       "qEylUqGkpKSKRlRz8RlCInIXnCEkIpvl5OQAAOrUqWO1zoEDBxAdHW1UFhMTgwMHDgAALl26hLS0\\\n",
       "NKM6fn5+6Nq1q6GOJSUlJcjNzTV6UfW3ZMkSwxfrgICACvVV2oejYXDcuHGQSCQOh0EA+Prrry2W\\\n",
       "K5VKREVFOdyvM3z33XdmYRAAioqKqmA0NR9vGSUid8FASEQ20ev1eOmll9CzZ0+0bt3aar20tDSz\\\n",
       "PeNCQkIM+7yV/resOpYsWrQIfn5+hld5i4VQ1RsxYgRmzpxpeJ+dnW32w4LKMnbsWKxevbpCfZjO\\\n",
       "DJr6559/KtR/RZw5cwbjxo2zeEwQBOTl5VXyiGo+BkIichcMhERkk6lTp+LkyZNYt25dlZx/9uzZ\\\n",
       "yMnJMbxSUlKqZBxkG7Vajfj4eLPy8hZ60Wg0uHXrltPH89NPP1W4j/K2+5DJZFAqlRU+T1nuDiAy\\\n",
       "mQyDBw+GXq9H8+bNy2zn7e0NtVqNyMhIl46vtmEYJCJ3wEBIROWaNm0afv/9d+zcuRMNGjQos25o\\\n",
       "aCjS09ONytLT0xEaGmo4XlpmrY4lSqUSvr6+Ri9yjtzcXNxzzz1o2LCh024vDA4Otlgul8utthk/\\\n",
       "fjwUCgUCAwMhk9n2iLut4127dq1N9YA7IUAikRi+6EulUpw9e9amTe6dGWZlMhlef/11FBcXG1ZR\\\n",
       "1ev1hpdGo8HGjRttDiRyuRwXL1502vhqO84QEpG7YCAkIqtEUcS0adPw66+/YseOHTbNLnTv3h3b\\\n",
       "t283Ktu2bRu6d+8OAIiMjERoaKhRndzcXCQmJhrqUOU6f/48MjMzcfv2baes9KrVaq0+4/nzzz9b\\\n",
       "LNfr9fj+++8N73U6HVasWGH1HBqNBhKJBJ6enpBKpRBFscwxDR06FFqtFsnJyThx4gSysrJQUlIC\\\n",
       "rVYLnU4HvV5vFLruLtNqtWjWrJkNVw54enri0KFDNtW9m4eHB7788ktkZ2dDp9NBFEVoNBosWrTI\\\n",
       "5bOORETk3hgIiciqqVOn4ocffsCPP/4IHx8fpKWlIS0tzWhWZty4cZg9e7bh/YsvvogtW7bg448/\\\n",
       "xpkzZzBv3jwcOXIE06ZNA3Dnp+4vvfQS3n33Xfz22284ceIExo0bh7CwMAwdOrSyL5EAdOjQAZmZ\\\n",
       "mcjMzLRp4ZebN29CoVBAEAR4e3sjOTnZcEyr1cLLy8tq20ceecRiuaXnR1euXGm1H6VSaQiBer0e\\\n",
       "kZGR0Ov1ZY5bKpWiZcuWaN26NerUqQOFQgGpVGo0G+gMnTt3hl6vR9euXcutK5VKUVJSgsLCQjzz\\\n",
       "zDMVWkGVnIszhETkLrjtBBFZ9fnnnwO4s6fZ3b799ltMmDABAHD16lWjL7A9evTAjz/+iLfeegtv\\\n",
       "vPEGmjZtig0bNhgtRDNr1iwUFBRg8uTJyM7ORq9evbBly5ZqsWy/u7L1sxdF0eh20IKCArRq1cqm\\\n",
       "tmV9aQ4MDDQrmz9/vsW6v/32m9mM4JUrV9ClSxccOXLEprG4miAIOHjwIDQaDby8vKDRaMzqqFQq\\\n",
       "rgBajXHbCSJyFwyERGRVebfhAZYXCRk+fDiGDx9utY0gCFiwYAEWLFhQkeFRFfjwww8dblt6S6al\\\n",
       "L89KpRLe3t7Iz88HcGfmrHSfSlPDhg2zWH706FEUFBSUOUNZ2eRyOdRqtdmztVKpFIWFhVUyptoQ\\\n",
       "XmbPng2FQuHSczAQEpG74H0pRERks7tvD3aEj4+P1WN5eXk4duwY9u7dC61Wa7VeWce8vb3x6quv\\\n",
       "QqfTVWiczpaWloa4uDh4eXmhcePGKC4uZoio5njLKBG5CwZCIiKySXZ2drnP6ZWnoKAAEonEaj/t\\\n",
       "2rVDr169yuyjrJVKAeCjjz6CTCaDIAgIDAys8JidZcSIEcjPz8f58+dtXkW1dEVRqnwMhETkLhgI\\\n",
       "iYjIJkFBQU7pRxTFMmcKy5OZmWlz3Vu3bsHb29vhc1Wlnj17QiqVQiqVonHjxlU9HLfDQEhE7oKB\\\n",
       "kIiIyvXpp5869TbMiiym4ufnB51OZ/Mm685YuKWkpAS3b9+ucD+2SktLQ0JCguH9xYsXER0dXWnn\\\n",
       "JyIi98FASERE5Zo+fbpT+7v33nsr1F4ikeDixYuGvTJdKSgoCCqVCnXq1IFEIrG4YqizTZo0yaxs\\\n",
       "+/btSE1NtVg/JycHJSUlrh6WW+EMIRG5CwZCIiIqk7MXaImMjMSxY8ec1t8nn3yC4uJiq88ePvHE\\\n",
       "Ew73feDAAWRlZRnei6JYKduj3HfffRbLGzRogCVLlkCr1SI/Px/t27eHIAjw9/eHSqXC22+/7fKx\\\n",
       "uQsGQiJyFwyERERUJqlUanf9r776CmlpaTh58iTefvttjBgxAr///jt0Oh0uXrzo9DEqlUrs3bsX\\\n",
       "J0+eNPpyHhISgrVr1zrc78KFC83K9Ho9kpOTLdZPT0+HXC6HRCKpUBB95ZVXrB6bOXMm5HI5fHx8\\\n",
       "cPz4caNj//vf/xw+JxljICQid8FASERE5YqPj7ep3vLly6HVajFx4kSEhISgVatWWLBgAeLi4jBg\\\n",
       "wABIJK79Z6dVq1bQ6/VQq9XQarVIS0urUH/WbpVt3bq1WdnixYsRGhoKrVYLURQRFxeHI0eOWGwv\\\n",
       "iiIaN24MuVyOGTNmmB0XBAGbNm2ye7z2hneyjoGQiNwFAyEREZXr8ccfh1qtRvPmzS0e9/X1hUaj\\\n",
       "cfqzho6Sy+VOCUcPPfSQxXJRFCGXy3Hp0iWkp6cjMDAQL7/8slm9nj17WmyvVCpx8eJFaLVaLF26\\\n",
       "FG3btjWrM3DgQLz++ut2jdcVs6/uioGQiNwFAyEREdlELpfjzJkzEEURer0eBQUFyMvLg16vR05O\\\n",
       "js1769U0n3zyicVyrVaLe+65B6Ghobh165bFOmq12qxMFEWzhWlOnDhhsf2iRYvQu3fvcscoCAJu\\\n",
       "3bqF8PDwcuuKoljjX0qlkgGNiMhJGAiJiMhugiDA09MT3t7etf7L97Rp0xAYGOhQW0u3yNr7ee3Z\\\n",
       "swcKhcLq8aFDh0Kv1yMgIMDu8ZF1nCEkIndRO3+cS0RE1ZpGo4EgCDVmVvHy5cvw8fGxu92gQYMs\\\n",
       "lnft2hWJiYmG95aeI7xbUVERZDIZRFE0lMlkMhQUFJQZFslx9gQ9BkIiqsk4Q0hERJVm4sSJEAQB\\\n",
       "CoUCcrkcgiCgTp06OHfunFHYqSqXL1+GVCo1hIGrV68CADw9PREUFGRXXx07dsSvv/5q8djBgwdx\\\n",
       "8eJFTJw4EZmZmVi8eHGZfUkkEuh0OsyaNQsPPPAAbty4AY1GwzDoQpwhJCJ3wUBIRESVYsyYMfjm\\\n",
       "m2/Mym/fvo1mzZpBIpGYfcn29vbGli1bKhwWCwoKoNfry6yTnp6OyMhIo3oNGzZEeno6RFFEu3bt\\\n",
       "yj1PvXr1UFRUBFEUceTIkTKDQmRkJL766iubg6YgCHj//fexfft2hIaG2tSGHMdASETugoGQiIgc\\\n",
       "UlBQgIKCApvqFhUVYc2aNQ6d4+GHH4ZEIoFUKkWdOnVQp04dw15/Hh4eOHPmjNX2xcXFkEgk8Pb2\\\n",
       "hlQqxSOPPGK1blhYmMXyXbt2QRAEPPnkk2WO9ZtvvsH169crZeN6cj0GQiJyFwyERERkl5ycHEil\\\n",
       "Unh7e8Pb2xsDBw4st42Xl1eFz6vX63H79m3cvn3bsNdfcXExWrZsiSFDhlicAfT09DSaXfzzzz8t\\\n",
       "zshlZWVZnUEcNmwYJBIJxowZY3VsUVFReOqppxy4KiIioqrFQEhERGUqXeo/KysLoaGh8Pf3NwpP\\\n",
       "mzdvLrO9h4eHy58P/O2338xm5jp27GjxvFlZWfDw8DBcg16vtzo7eO3aNcPCN3K5HPXr1zerIwgC\\\n",
       "Tp06Veb4cnNz0b9/fzz++OPIycmx6ZqoanGGkIjcBQMhEREZUavVqF+/vuGZPolEAolEgqCgIKSn\\\n",
       "p9vVV7du3VBcXOyikRrTaDQYPnw4ioqK8MorryApKclq3eLiYkilUsjlcshkMov7Ba5fv94sAJYu\\\n",
       "MlNKEASzPQUtCQkJwV9//YWff/4Z/v7+kEqlKCoqsvHKqKq4KgzGxcVZ7CclJcUFV0FEVDYGQiIi\\\n",
       "N1FcXFzu4ir33nsvlEolrl+/7pRZvbu3VqgMP/30E7y9vfHxxx/bVL/01tNSgiBg586dEEURw4cP\\\n",
       "N6svkUigVqsxaNAgvPbaa9DpdJBKpeWexzQU6/V6eHp6QqvV2jROZzhz5kyN2eajOnDlDOETTzxh\\\n",
       "dJ5SERERThs/EZGt+C8DEVEtl5WVhbp16xoFQYlEgqZNm2L69OnQ6XT43//+h4yMDIf6t/Z8oE6n\\\n",
       "c6i/iipvNdGy3L59G35+fmXWkcvl+O233xw+x92aN2+OCxcuOKWvshw/fhzt27d3+Xlqk8rYh9D0\\\n",
       "hxFERFWBgZCIqBYTRRHBwcFms316vR5nz57FtGnTKnwOa9sxSKVSSKXSKguG9lIqleWGQUepVCqL\\\n",
       "t85eu3bNJeczxTBoP0cCYXJyMlq1amUo7927N2JjY8tsJ4oiwyARVSneMkpEVI1lZGRYfL7NVllZ\\\n",
       "WS5f0EWpVFo9plarERgYaHgvlUqhVCrL/AIskUhQUFBgWMymrC/UpfX9/PwqvEn7G2+8UaH2ZUlN\\\n",
       "TbVY3qtXL4f7TElJgUwmg0Qiwddff221Xk0J5NWNo7eMJicnG15ffPGFxb73799vdJ5Srv67SkRk\\\n",
       "CQMhEVE1FhISAqVSCS8vL4e+LDpjxqu8Z+ROnDhh9ZhEIsHNmzcN4U6r1aK4uBh6vR5qtRrNmjUz\\\n",
       "qj9jxgzodDp4enoayqZMmYJOnTpZ7H/AgAHQarW4ffs2bt68We5MS1nH33777TLbVkSdOnXwzDPP\\\n",
       "mI3l77//drjPhg0bQqfTQRRFPPPMM/jjjz8s1qvIDxTIflFRUYbXlClTLNbp2bOnxXLOFBJRVWAg\\\n",
       "JCKqAQoLCzFgwAC728nlcuj1eof2ASxdWKZ04ZU2bdpYrHfz5k27+y4d29mzZw1hURRFLF682GLd\\\n",
       "w4cPGy3EIZPJoNfr8fvvvxtmaHx8fJCZmWmx/W+//QZRFKHX6w3nSk1NxbJly5CRkVHmbXt6vR4K\\\n",
       "hcJwHi8vL5tWFjX15ZdfGo1Br9dX6Nkz0x8QDBgwAPn5+WZ1PTw8HDqHu3NkhjAqKgqnTp0yvMqb\\\n",
       "3b77zz4RUVVhICQiqiE+//xzh9oJgoD8/HyjZ5vKq5+dnY169eoZlf/7778W61fWl9m1a9dCrVaj\\\n",
       "sLAQGo3GYpgKDAzEL7/8YlT2+++/Y9CgQWZ1w8LC8MILLyA4OLjM84aFhRkFwMLCQigUCty6dcuh\\\n",
       "63DGLJC1Pho2bGixPD4+vsLndDfch5CI3AUDIRFRNSaRSODl5YXk5GSrX/ZttXPnTgQGBsLX1xe3\\\n",
       "bt0ymp0oKirCxYsXkZ2dDb1eb/VW09OnT1doDBUll8vLnfF69NFHjWY2HZlZvZu1vReDgoIq1G9F\\\n",
       "WQq51kLq448/jitXrkClUrl6WLVGZQTC0n0+GSiJqCoxEBIRVWM6nQ75+flo2bJlhftauHAhbt++\\\n",
       "Da1Wi4CAAKNjKpUKkZGR5T5z2KJFC9SpU8eorLrubWfL/oC2sPZlXRRF5OTkOOUcjrC29cVXX31l\\\n",
       "sTwiIgJFRUWuHFKt4spAePeqr3fPsM+aNctp4ycishUDIRGRG7h8+TKWLl0KvV6PwsLCCt3mmZWV\\\n",
       "ZfQF+PDhw84YYrXVpEkTq8dyc3MrcSTmxowZY1Y2adKkKhhJ7ePKQJiUlGQ0Q1/6ev/99110NURE\\\n",
       "1jEQEhG5gf79+xu9v3jxYoX6e/jhhwEACoUC9957b4X6qu4+/vhjq8f8/f0rbyAWLFmyxGJ5YWFh\\\n",
       "JY+EiIhqKgZCIiI3cPbsWaP3TZs2rVB/v/32G7Zt24aCgoJa//zToEGDLM4SSiQS+Pj4VMGI/p+1\\\n",
       "5xh9fX0reSS1DxeVISJ3wUBIRFRDXb16FTKZDIIgQCaTISkpyea2pdseOKq4uBjdunWrts8POtu5\\\n",
       "c+fwyiuvGL74S6VSh7fbcDZLz0rqdDps3LixCkZTezAQEpG7YCAkIqqBUlJSDBuTA3cCQMeOHbF3\\\n",
       "716L9S19YS1ta4+ioiKEhobCz88P48ePt7t9Reh0OuTk5CArKwvFxcWVvnfbhx9+CJ1Oh5KSEmg0\\\n",
       "GrOFeaqKtc/h0UcfreSR1C4MhETkLhgIiYhqoHvuucdied++fS2W79u3z6xMLpfbdc5u3brB09MT\\\n",
       "6enp0Ol0+OWXXypl1cojR45AIpFAJpPB398fQUFB8PT0xLRp0yoUCvV6PTp37gy5XI4GDRpAq9WW\\\n",
       "20YQBMMm9dXB1q1brc70iqKI4uLiSh5R7cFASETugoGQiKgGsja7Zy0g9ejRA7///rvhi6u9q2P+\\\n",
       "/PPPSExMNCvv3bu3Xf3YS61Wo3PnzmbXJYoigoODHf4iLooilEoljhw5Aq1Wi9TUVHh5eTljyC63\\\n",
       "detWtGjRAh4eHoiJiSmz7uDBgytpVLUPAyERuQsGQiKiGuihhx6yWD5w4ECrbQYMGAC9Xg9RFO1e\\\n",
       "DOXJJ5+0WP7vv//a1Y+9bty4YbFcLpdj3rx5DvcbGhpqNiOoVqsrtI1ESEiIIRw89dRTVuvl5uba\\\n",
       "NBtpycWLFxETE4OzZ8/aNPu3bds2h85DRETug4GQiKgaW7x4MTZu3Ij8/Hyj8i1btuDff/+FSqUC\\\n",
       "cGc2Y/LkyVY3K3cVVy8qExERYbZoikwmKzcM5ebmmq2sWkqn0yEjI8PisWPHjjk0zpdfftmoz1Wr\\\n",
       "VqF+/fpGdbRaLYKDg+Hn5welUolTp07ZfZ6uXbva3eaHH36wuw1xhpCI3AcDIRFRNfbyyy9j6NCh\\\n",
       "8PHxMdsqok2bNigqKjKsGPrFF1+4bBwrV660WL5hwwaXnRO486Vco9Fg7ty56NixIxITE6HRaCCR\\\n",
       "WP/nq0WLFvDz80OLFi0srsB569Ytq22tbeNQni1btpiVXb9+HXXr1kVKSgoOHDgADw8Pw8qker0e\\\n",
       "rVu3xvXr120+h1qtdmhl07Fjx6KkpMTw3t6gUx1fJSUlFjd2v/tVUQyEROQuGAiJiGqI8+fPV2ir\\\n",
       "iIoYP348AgMDjcqCg4Ot3rrqTIIgYN68eThy5Ai6dOlSZt0rV64YzQzq9XpMnTrVqI5CobDavlmz\\\n",
       "Zg6NMS4uzmJ5ZmYmIiIi0KNHD4u3idavXx8RERGGmVBBECCRSNC3b1+zUONoWAUAT0/PKvuzU1Mx\\\n",
       "EBKRu3CPDaSIarFLly5h7969uHLlCgoLCxEcHIz27duje/fuhtsJqfYoa2bM1W7evInbt2/j119/\\\n",
       "xaOPPlpttl24m6VbKr/55ht89tlnhvfe3t5W29u78mqp1q1bQyKROBS6UlJSjN6Loojdu3dDqVTi\\\n",
       "/PnzCAwMRJcuXZCXl+fQ2IA7wVipVCIrK8vhPtwRgx4RuQMGQqIaas2aNVi2bBmOHDmCkJAQhIWF\\\n",
       "wcPDA7du3cKFCxegUqkwevRovPbaa2jYsGFVD5ec4O5QU1UCAgLw9NNPV/UwrLJloRVLt5ECQHp6\\\n",
       "eoXOrdForPbtaH/O/Lur1Wrh5+fntP5qO3tm/hgciagm4y2jRDVQ+/btsXz5ckyYMAFXrlzBjRs3\\\n",
       "cPToUezbtw/JycnIzc3Fxo0bodfr0alTJ8THx1f1kKkCBEHAypUr8fzzz1e4L1EUsWzZMqxevbrS\\\n",
       "N3avDCNGjDArM11R1doKn3Xr1q3Quaty9paIiMhR/NeLqAZ67733kJiYiOeffx7h4eFmx5VKJfr2\\\n",
       "7YvY2FicOXPG6ibmVP2VLhgzadKkCvel0+kgkUjw0ksvYdy4cZBIJDhx4oQTRll9vP3222Zlpns2\\\n",
       "fvLJJ2Z1rO1BWFxcjJ9++gkFBQXlnnvz5s02jtI5+vfvj9u3b1vdEoQqhs8QEpG7YCAkqoHK24z6\\\n",
       "boGBgejYsaMLR0M1haWVQh3ZxqA68/f3NyszDXPvvfeeWR1rs4OtWrXCiBEjEBERAY1GY/W8Wq0W\\\n",
       "w4YNs2+wNihr1nHjxo3w9/fHt99+6/TzEgMhEbkPBkKiWiIjIwMnT57Ev//+a/QiKjV9+nSzsqKi\\\n",
       "IowfP74KRmPMWbevWgpQJSUlhm0XcnJyLO5BOHbsWLMyrVaLixcvQhRF3Lp1CwqFAnv37jWqc+vW\\\n",
       "Lfj5+UEulxtt7VBRgiDg8OHDuHDhgsW9Hnfs2GFYLVWhUFTKaq/uhoGQiNwFAyFRDXf06FG0bt0a\\\n",
       "9erVQ9u2bdGuXTu0b9/e8F+iUkql0mL5+fPnK3kkxt5//31IpVJIJBIMHz7cYp2SkhIMHDgQUVFR\\\n",
       "2L17t9W+EhISLJa3bNkShw8ftniLNQBMnjzZrMzSrZj33XcfJBIJFAoFBEFAYGAgcnNzrY7HGolE\\\n",
       "YjVElO6z16lTJzRq1Aj//fef2fH777/fqOz333+3ewxUNgZCInIXDIRENdzTTz+NZs2aISEhARcv\\\n",
       "XsSlS5eM/ktUKisry2wGrU6dOtizZ08VjejO5u2vv/66YTPxn376CQqFAkVFRQDuzBwOGDAAKpUK\\\n",
       "mzdvxunTp9G3b18IgoBVq1aZ9Tdo0CCL57l8+TKeffZZq88ChoWFmZVt3brVYl1RFMu8fbQ8qamp\\\n",
       "0Ol00Ov1yM/Ph6+vr+GYr68vtFqt0fYXkZGR6NSpk+H96dOnzfqUy+Xw9PQ0K1epVOjTpw+aNGni\\\n",
       "1BVQ3QEDIRG5C247QVTDXbx4ET///DOaNGlS1UOhak6lUkGn00Gr1aKkpASenp5V/kXW0rYKGo0G\\\n",
       "np6ekEqlZgvC3O2pp57CxIkTMXjwYGRlZeHo0aNWb9tUKBSYM2cOli5dil27dhkda9u2rcXPoUGD\\\n",
       "BsjJybHvgsoRHh5uFD69vLxsOsfhw4dx8+ZNeHl5wcPDw2Kd/Px8BAQEIDc3Fz4+Prhx44bFkFgb\\\n",
       "zJ8/3+Xn4LYTROQuOENIVMP169cP//zzT1UPg2oQmUwGLy8vq19iRVHEP//8U+5G6OfPn4eHh4fh\\\n",
       "i7NEIoGPjw9efvllpKamori4GFqt1urzgfv377e6BQRgvjqoJXq9Hhs2bMDevXtRWFhotd7p06cx\\\n",
       "ZMgQ7Ny5E+fPn4dKpYIgCGjZsqXVvz/79+8v9/z26tWrl8Ntg4KCrIZB4E4oyc7Ohl6vR05OTq0N\\\n",
       "g0RE5FycISSq4b766iuMHz8eJ0+eROvWrY1uNQOAwYMHV9HIqKaKiIjAtWvXAACjR4/GDz/8YFZn\\\n",
       "woQJ+O6774zKRFFEfn4+Fi9ejMWLFxsdk0qlmDJlCj7++GPI5XKsXbvW4kIurjBlyhRERkYa3jdu\\\n",
       "3NhwS2pZXLGJ+5EjR5zeJ7kGZwiJyF0wEBLVcAcOHMD+/fvx559/mh0TBMGmWRaiUl988YUhDALA\\\n",
       "mjVr8PPPPxsFqIiICKSkpNjVr06nw4oVK7BixQqnjdUWFy5cqNA+nKIo4tFHH8WGDRvKrNe0aVPD\\\n",
       "4i96vR4KhcLi3727P1uq3hgIichd8JZRohpu+vTpGDNmDG7cuAG9Xm/0Yhiku127dg2ffPJJmbeC\\\n",
       "vvLKK2ZlxcXF6NOnD0pKSrBlyxa7w2BV+eOPPyoUBkv98ssvZa7YGxISYrQSqEQiQX5+vsW6jRs3\\\n",
       "rvB4qHJwURkichcMhEQ1XFZWFmbMmIGQkJCqHgpVY+PHj0d4eDheeOEF+Pr6Wn3ezlr53r178cEH\\\n",
       "H+CFF15w5TCd5oUXXsDDDz/slL4EQcCvv/5q2PfvbkqlEmlpaWblKpUKQUFBZuWueC6RXIOBkIjc\\\n",
       "BQMhUQ332GOPYefOnVU9DKrGdDodvv/+e6Myb29vi3WtLQAjCAJiYmLwxBNPOH18ztaoUSMsW7bM\\\n",
       "7nbFxcW4fv06Tpw4gaNHj+LkyZNITU1FSkoKzp8/j44dOxpt3dC6dWsUFxdb7S8zM9Oo/siRI422\\\n",
       "mKhsOp0OWVlZVXb+moaBkIjcBZ8hJKrhmjVrhtmzZ2Pfvn1o06aN2aIyNWVGhywr/bLp4+ODJUuW\\\n",
       "YMKECWZ7CZbH0n56oihi/fr1GDFihNn5LIXCN998E126dEHnzp3xwQcfWN3eobJIJBI8+eST0Gq1\\\n",
       "2LRpE4qKiiAIAmbMmIEPP/zQrr7i4uIwevToMm+x9vDwQNu2bfHee+9h8ODBaNy4sU37+mm1WuTn\\\n",
       "50OlUkEmq5p/cnU6HZRKpeH6rIV+IiJyT4LIfxmIarS7V080JQhCrd2cPjc3F4sXL7bpJ/Nz586t\\\n",
       "hBG5hqXrq1OnDtLT020OGNHR0di+fbvFvvV6vVGZRCKxGBjuLtu7dy/uu+8+m87tKnXr1kVqamqF\\\n",
       "Q9amTZtsXonXw8MDaWlpVTrL5wgPDw+jmcza8M++LfsQzps3Dzk5OXb/frVq1QrJycl45ZVXoFQq\\\n",
       "bWpTUlKCjz76CFFRUTh16pRd5yMiqmq8ZZSohrt06ZLVl7PC4GeffYZGjRpBpVKha9euOHToUJn1\\\n",
       "4+Pj0aJFC6hUKrRp0wZ//PGH0XFRFDFnzhzUq1cPHh4eiI6Oxrlz5xwamyiKZb5KSkrsvvWrOr0s\\\n",
       "uXXrFuRyOdq2bWsW6Cw5c+aM1c/uueeeM7y/ffu2xbAwYcIEo/c9e/Ys95yWSCQSu2Y3y6qblZVl\\\n",
       "90ypKa1Wi5EjR9pcv7i4GF5eXhU6Z1Uo67ZWsq423DKakJBQbcdGRNUHAyFRLXXjxg188MEHFe4n\\\n",
       "Li4OM2fOxNy5c5GUlIR7770XMTExyMjIsFg/ISEBo0aNwsSJE3Hs2DEMHToUQ4cOxcmTJw11Pvjg\\\n",
       "AyxfvhyxsbFITEyEl5cXYmJi+MXVTidOnIBUKoWPjw92795tdeYnPT3dah+xsbFQqVRo1KgR6tSp\\\n",
       "Y7GO6Z6CjgQxqVSKb775BmvXrrWp/UcffQSNRoObN29a/EKr0+lw9OhRm88viiL0er3RZ3Ty5Emb\\\n",
       "9iMsJQiCTbeJUu1QGwJhjx49qnoIRFQD8BlCohru6aeftlh+5coVHDp0CLNmzapQ/4sXL8akSZPw\\\n",
       "1FNPAbgTIDZv3oxvvvkGr7/+uln9ZcuWoX///nj11VcBAO+88w62bduGTz/9FLGxsRBFEUuXLsVb\\\n",
       "b72FIUOGAAC+//57hISEYMOGDTVi0ZLqJj8/H3379gUAPPDAA9i6dashuBw5cgRarbbM9iUlJbhy\\\n",
       "5YrV45YCnEQisWl2spQoioiIiEDLli1Rr149pKamWq0rCAJefvllAEBgYCBKSkosrvDZo0cPaDSa\\\n",
       "Ms+blZWFe+65B3l5eZBKpejZsydWr14NPz8/vPvuuzaPHwDGjBljV/3q4pFHHjGbpafy1aZ9CK09\\\n",
       "G0xEBHCGkKjGu337ttHr5s2bOHToEHbt2oWPPvqoQn2r1WocPXoU0dHRhjKJRILo6GgcOHDAYpsD\\\n",
       "Bw4Y1QeAmJgYQ/1Lly4hLS3NqI6fnx+6du1qtU+y3Y4dOyCTyaBUKuHh4YHOnTtXuM+33nrLrKxN\\\n",
       "mzZmZV5eXnj33XfxwgsvmIVIvV6PadOm4ebNm4iJiSnzfG3btjV6L5fL0bVrV7N6Wq22zFuNL1y4\\\n",
       "gKCgIOTm5kIURWi1WuzevRtRUVHo169fuZvN323AgAH47rvvbK5fnWzevLnCt9e6o9owQ3i3mjZe\\\n",
       "Iqo8/BeCqIb79ddfjV6//fYbTp48iQULFtj1hdeSmzdvQqfTme1xGBISYnHvNQBIS0srs37pf+3p\\\n",
       "E7gzi5Wbm2v0IuvUarXTbsFdvXq1Wdm8efOM3jdq1AhXrlzBG2+8gffeew8+Pj5mbS5fvoy8vDwM\\\n",
       "GTKkzMU6lixZYla2dOlSi3Wff/55q/08+OCDFsvz8/Nx7NixMlcVvZtKpUJ8fLxNdaurd955p6qH\\\n",
       "QFWk9HlqSz9UISICGAiJaq1Ro0Zh165dVT0Mp1m0aBH8/PwMr/Dw8KoektvIyckx279u6NChuHbt\\\n",
       "Gs6cOQO9Xo9Lly4hMDAQgiDAw8MDjz/+uFk/xcXFqF+/PgYNGoS8vDysXr3a7FbQ5s2b4/777zdr\\\n",
       "261bN4tj+/vvvy2Wi6KIS5cuWb0mW8MgAPz+++/w8PCwqW7pQkYZGRlISUmBWq22+Tyu9MYbb6Ck\\\n",
       "pMTiZ0vW1cTZQWtjWrx4sdGCW0REpRgIiWqpf/75B+3bt69QH0FBQZBKpWaLkqSnpyM0NNRim9DQ\\\n",
       "0DLrl/7Xnj4BYPbs2cjJyTG8UlJS7L4eclxwcLDZl8j69eujefPmFr98Wlp0SCKRoEGDBhAEAXK5\\\n",
       "HGPGjEFJSQlEUYRarYZOp7O6IioAqyt8/u9//zMr27x5c3mXZLPExMRy6xw/fhweHh6QSCRQqVQI\\\n",
       "CQlBRESE4dbd8p7jrAwKhQI7duyo6mHUGLXhltG7F0Hq2bNntR0nEVUtBkKiGm7mzJlmr9GjR2Ps\\\n",
       "2LEIDw83KreXQqFAx44djfaw0+v12L59O7p3726xTffu3c32vNu2bZuhfmRkJEJDQ43q5ObmIjEx\\\n",
       "0WqfAKBUKuHr62v0osojiiKaNm1qc/0tW7aYlTVq1Mjqs2xyubzc59ysLTj01ltvmc34WZqhdNRb\\\n",
       "b71V5kzf+fPn0b59e6u36BYXF0OhUFSb2UKyTU0OhHK5HMCd/19Xt7ERUfXDVUaJarhjx45ZLO/c\\\n",
       "uTMyMjIMMzWOfimYOXMmxo8fj06dOqFLly5YunQpCgoKDKuOjhs3DvXr18eiRYsAAC+++CL69OmD\\\n",
       "jz/+GAMGDMC6detw5MgRrFy50jCOl156Ce+++y6aNm2KyMhIvP322wgLC8PQoUMdGiNVjgsXLuDi\\\n",
       "xYu45557yqy3fv16i6t/mj53aK97773X6jGlUokHH3wQX3zxBUaOHImSkpIKnetuoijCz8/P6hYV\\\n",
       "UVFRNvWhVCqhVqsNX9apeqvJq4xqNBo0a9bMqMzelYGJyH0wEBLVcDt37nRp/yNHjkRmZibmzJmD\\\n",
       "tLQ0tGvXDlu2bDEsCnP16lWjmZ0ePXrgxx9/xFtvvYU33ngDTZs2xYYNG9C6dWtDnVmzZqGgoACT\\\n",
       "J09GdnY2evXqhS1btkClUtk9vvK+iCmVyhr9vEx1+6LZtGlTFBYWWlwURq/XY/78+ViwYIHFtr17\\\n",
       "967QuePi4qwe0+l02LJlCxo2bFihc1hTXFyMffv2oVevXkblWq223K0v7qZQKKDRaCCT8Z/f6q4m\\\n",
       "B0IAZivwMgwSkTX8F4mIyjVt2jRMmzbN4jFLC9cMHz4cw4cPt9qfIAhYsGCB1eBA/6+kpAT//vsv\\\n",
       "unbtWi2+0On1enh4eKBLly4IDw/HyZMncePGDRQVFZV7S+TFixcRERHh0HlLSkqqfFuSvn37mj0L\\\n",
       "+N9//9ndj0KhgFar5VYQ1VxNDYSiKBrGExwcjMzMzGo1PiKqfvivEVEN1L9/fxw8eLDcenl5eXj/\\\n",
       "/ffx2WefVcKoyBUUCgU6deoErVZbbb7UiaKIxMRE/PTTTzhz5gxycnJsej6uvFuCRVHEuHHjIJfL\\\n",
       "IZVKERwcjPfeew8//vgj6tevX+WBWKfTmc0GJicn292PKIqQy+U1euaaqrfSlUQzMjIQGxtrKF+3\\\n",
       "bl0VjoqIqivOEBLVQMOHD8ewYcPg5+eHQYMGoVOnTggLC4NKpcLt27eRnJyMffv24Y8//sCAAQPw\\\n",
       "4YcfVvWQqYIEQcCuXbvQp0+fqh6Kw3JycvDBBx9g1qxZFo/Xr18fN27cMLy/efMmZs+eXVnDs8no\\\n",
       "0aOxfv16w/u2bds61I9erzfcPkrVU02dITQ1ZcoUTJkypaqHQUTVGAMhUQ00ceJEjBkzBvHx8YiL\\\n",
       "i8PKlSuRk5MD4M4Xk6ioKMTExODw4cNo2bJlFY+WnOW+++6r6iFU2GuvvYagoCA8/fTTRuVxcXFG\\\n",
       "YbC6+umnn4zeN2nSxOG+tFot7r33Xvzzzz8VHRa5QG0JhERE5WEgJKqhlEolxowZgzFjxgC4M/tS\\\n",
       "VFSEwMBArmJYi7Vs2RKnT582K1epVBAEwepKmAAMq1xW9a2KEydOxNatW/Hjjz9CIpEgPz8f48aN\\\n",
       "q9Ix2UoUReTm5hq2PZFIJBAEweHP9N9//zV65ouqDwZCInIXfIaQqJbw8/NDaGgow2At9/PPP5uV\\\n",
       "rVu3DkVFRSgsLERKSorRZtQA4OnpidOnT+P27duYMWOGWfsGDRqUuaWDK8TFxcHDwwN9+vRBWFhY\\\n",
       "tdqjT6VS4a+//sLy5cstHg8NDTV67+PjU6HzXbp0qULtyTVq8j6ERET2YCAkIqrGXn75ZWzYsAG5\\\n",
       "ubnQaDSoU6cO2rVrZ/gC2qBBAzz66KOG+g0aNEBhYSFOnjyJtLQ06PV6FBQUoEWLFvDw8DCaifPw\\\n",
       "8IAoikhJScHx48crfdEWtVqNPXv2IC8vr1LPC9xZrMfSD0+++OILFBUV4aGHHsL06dMtfiZFRUUQ\\\n",
       "BAHLly/HG2+8gdzc3AqNZezYsXa30ev1ZmPLzc3F888/j7lz51b5LHBt4OpAqFQqGSyJqFrgLaNE\\\n",
       "RNXY4sWLsXjxYgBASEgI5s+fj7Zt2+LUqVPQaDRITU1FkyZNsHbtWrRu3RqCIEAmkyEqKsril0vT\\\n",
       "Z/fuVvqFtDaHCaVSidzcXCgUCgB3NvB+7LHHsGvXLkyePBmTJ082qi8IArKzs+Hv72/W14svvuiU\\\n",
       "MR0+fNjmugUFBWjYsCFu3boF4M5sZsOGDZGVlYWbN28afu8KCwu5mFQ1FhERYTQrXtv/3hFR9cYZ\\\n",
       "QiKiGiI9PR0ff/wxzpw5Y9gPr3SGr1evXvD394e/vz8efPBBi+31ej2SkpIM74uKioy2Tbhx40a1\\\n",
       "/1Iql8vRs2dPtG3b1u7ZFEEQUFhYaAiDpf1t2rQJeXl5+Pjjjy228/Pzw+DBgys07rJoNBqLz4Wa\\\n",
       "OnDgALy9vZGVlWXYVqCoqAhnzpxBZmam0e/d999/b7Ufe2e+quOrpKTE8BlYe1WUK2cIU1JSAPz/\\\n",
       "9hB6vd5p4yYishcDIRFRDXLlyhWcOnXK6hdHURSRkJCAixcvmh1bsGCBWVmrVq0Mz5+GhYU5NCaV\\\n",
       "SoXAwECXb7QuCAKOHTuGffv24Z9//oFGo8Enn3xi83Oze/fudXiMGzdudOn1tWnTBk8++SQSEhJw\\\n",
       "7do15OfnQ6fTQa/XIzc3Fw0bNkSPHj1cdn4yVxnPEPJ2USKqDhgIiWq48ePHY8+ePVU9DKokGo0G\\\n",
       "BQUF5daLiooyCo1qtRrz58+3WDc3Nxfp6ekOjeftt99GXl4ebty4gdjYWLMFbZxpxIgRaNWqleG9\\\n",
       "VCrFtGnTDCun6nQ65Ofn4+rVq/jnn3/w+eefGwLvhAkT0LNnzwqdPzMzs8zjFflCr9PpsHbtWvTs\\\n",
       "2RPh4eHw8fGBTCaDVCqFn58frl696nDfdzt37pxT+nEHjgTC5ORktGrVyvB69tln7T4nEVFlYyAk\\\n",
       "quFycnIQHR2Npk2bYuHChUhNTa3qIZEL2XpLmVqthpeXF37//Xe88847UKlUTh/LAw88gAULFkAm\\\n",
       "k0Eul2PSpEk4efIkOnbsiPr166NZs2aoV6+ezTNrEokEAwYMwPbt27FixQqEh4dDKpVCJpNh7Nix\\\n",
       "WLt2bbntvby8EB4ejrZt2+LZZ5/FyZMnkZGRgZUrV1b4euvUqQMvLy+zcqlUiqNHj0KtVkOr1SI3\\\n",
       "Nxdr1qyxWLeylN5WerdvvvkGzZs3r6IR1TyOzhAmJycbXl988UWZ53DmLa5ERI7iojJENdyGDRuQ\\\n",
       "mZmJ1atX47vvvsPcuXMRHR2NiRMnYsiQIdyGwo0VFRVh8ODBLvuyuXr1arOy5s2bY8uWLdBqtfD1\\\n",
       "9YUgCEhKSsLAgQORnZ1ttS+ZTIZ9+/ahS5cuEAQBDzzwACZNmoRz587h1q1bhnJHKBQKp30Gixcv\\\n",
       "xpQpU4zKWrVqhfbt2xvG5+PjgyeffBIDBgxA3bp1y91SQyqVQqfTOWV8pXQ6HXJzc+Hn52co+/nn\\\n",
       "nxk87GDPbZx314uKijL8unfv3k4fFxGRs3GGkKgWCA4OxsyZM/HPP/8gMTERTZo0wdixYxEWFoYZ\\\n",
       "M2bwNjE3VtEAoFKpjBZhKdW/f3+LzxwKgoCgoCCEhobC09MTHh4e6NmzJ27fvg21Wm10yydwZ1GX\\\n",
       "K1euQKPRoGvXrkZfrGUyGVq2bImePXtW+Acbtn6x1+v1KCwstHp88uTJRtetUqmQlJRksX8/Pz+U\\\n",
       "lJTA09PTYl8dOnRASUkJiouLMWnSJJvGZ4969eoZFh8CgIcffpi3JLpYVFQUTp06ZXjFxsZW9ZCI\\\n",
       "iMrFQEhUi9y4cQPbtm3Dtm3bIJVK8cgjj+DEiROIiorCkiVLqnp4VIMoFApotVoUFRWhpKQEer0e\\\n",
       "P/zwA7p06YKdO3fizz//tLtPuVyOkydPQhRFQ59qtRoREREuuAJjpatSlldHJpPBy8sLgiDgt99+\\\n",
       "s1gvNTUVmzZtwuLFi5Gfn1/uc5P5+flmQeytt97C0aNHoVAoIJPJsHLlSpw6dcq+iypHUVERRo4c\\\n",
       "aXg/bdo0XLlyxannqM0qe1EZIqKqwkBIVMNpNBr8/PPPGDhwIBo2bIj4+Hi89NJLuH79Or777jv8\\\n",
       "/fffWL9+vcUVJokseeyxx1BSUmIUdARBwOjRo5GYmIi+fftW+BwKhaLSvgTr9XrExMRg1qxZZdYL\\\n",
       "CwszCo1DhgyxWnfgwIGYMWOGTYvoCIIArVaLyMhI+Pj44OzZs3jnnXfM6pUuBPTMM8847bP5/fff\\\n",
       "jd6Hh4c7pV934MpAWNYqwURElY2BkKiGq1evHiZNmoSGDRvi0KFDOHLkCJ599ln4+voa6tx///0W\\\n",
       "N9YmAoBhw4YZLW7x888/V/WQnOqxxx7D7t278dFHH0Ems/7o/O3bt83KnBXMJBIJLl68iNzcXDRr\\\n",
       "1qzMul9++aVhXzq9Xo9ly5Y5fF5HtxKhO1w5O+iKvROJiBzBQEhUwy1ZsgTXr1/HZ599hnbt2lms\\\n",
       "4+/vj0uXLlXuwKhGEAQBP/30U1UPw6X27dtn+LVOp0Pbtm0t1rNWvnHjRrOytLS0MhfJcRZBEPDC\\\n",
       "Cy/g888/d6j9v//+6+QRuY/KuGWUiKg6YCAkquHGjh3rki0FyD24ejP56qBhw4ZG70+cOAG9Xm9W\\\n",
       "79ixYxZnEO9+lrCwsBC+vr6oV68eAgIC4O3t7fQVQi2ZPHmy3W0ef/xx+Pj4mJVbmpmqaS+lUuny\\\n",
       "gMZASETuovZ/EyAiqsGefPJJo9t/nU2n01XarWquOE9WVha2bt1qMeCV2rlzp1nZ3r17zcoEQYBG\\\n",
       "o8Hrr79uCMpNmjTB8uXLAdz5rLp164a8vDxDm4KCAshkMhw6dKiil1ImiURSZni/O5TI5XLs378f\\\n",
       "8fHxLh1TbcdASETugoGQiKgaW7NmDXJycnDt2jWXneO7774r8/iNGzegVCohl8uxa9cuq/XOnj2L\\\n",
       "559/HgcPHjTMmul0OgwdOhSCIEAikUAQBHTt2tVoVk2v12Pw4MGG4zKZzKbVMOfPn4+goCDExMRA\\\n",
       "KpWidevWFuv5+voiKCjIqOyff/6x2u+iRYsMQfncuXOGDealUilu3bplsU3Xrl1Rr169csdcEZa2\\\n",
       "/5g9ezb0er3hJYoi1Go1evTo4dKxEBFR7cFASERUA9SvX9/p2xKUmjhxotVjer0eYWFhUKvV0Gq1\\\n",
       "uP/++3HkyBGzev7+/mjRogU+//xzdO/eHTKZzBDuTJ/BO3ToEGQyGWQyGeRyOaRSKTZt2mSYQdTp\\\n",
       "dGjUqBGKiorKHPe8efOM3p86dcrq7ZuZmZlG+wE++OCDZfZtzZdffmn1WFpaGgRBwPDhw432/3OW\\\n",
       "uXPnGn4tkUiQm5uLhQsXcnbKRThDSETugoGQiKiGiIqKMsxWOZNer0d+fr7FYwsXLjQr69q1q9H7\\\n",
       "c+fOIScnx+7z6nS6MoNTcHCw1WPWbj8t69bR/Px8zJ49GxMnTkTTpk1tH+hdHn744XKfu/zpp58g\\\n",
       "l8vNAoNEIkGDBg0cXozm9ddfN2x4rtPpLD4fSM7DQEhE7oKBkIioBjl37pxL+rU28/Xhhx+alZmG\\\n",
       "rocfftglYyooKLCrfumMozWCIGDhwoVYuXJlmdtPlMfS84e2EEURqampCAgIQPfu3R3qIyoqClFR\\\n",
       "UQ61JfswEBKRu2AgJCKqQUJDQ13S7yeffGKx/O4FVKzJyMhw9nAMiouLLZYLggA/Pz/D+/Hjx6Ow\\\n",
       "sNCmPiu6sqozns87ePBgmbefVpQoikhLS8N///2H3NzcSl08qLZgICQid8FASERUg7jqS/3Vq1ct\\\n",
       "nsuW81nb9kQmk+H8+fO4cOEC/P39zY6HhoZi06ZN+PjjjyGVSi32YS0QAsDu3bsxd+5c5OTkYNWq\\\n",
       "VWXODjpbRbd6kcvluPfee500GmNNmjSBRCJBvXr10Lx5c/j5+UEmkxkW7SHbMBASkbtw/J4ZIiKq\\\n",
       "dK5YrASAxcVYcnNzLdY1/fJ792Itd1u6dCkaN24MALh27RoaNWqEmzdvQhAEtG/fHgkJCVAqlQCA\\\n",
       "ESNGoFGjRkbjEATBasgTRRFNmzbFG2+8YXH1TVerSDCXyWR45pln0KFDByeO6I4lS5bgwoULTu+X\\\n",
       "iIhqLwZCIqIa5NNPP3VZ3zNmzMCSJUsM760t6mI6O2ZpoRtBEDB16lSjOpmZmVbP3aBBA2i1WhQV\\\n",
       "FRluX33mmWcMYVMURRQXF+PKlSu4ceMGGjdujPDw8CqbmSkpKXGoXXx8PB5//HEnj+aOMWPGYM2a\\\n",
       "NS7p2x3ZM/PHGUIiqsl4yygRUTUniiL0ej2uXbtmttWCMy1duhR169bFqFGjIJPJoNFoLNZr06aN\\\n",
       "0fsbN26UW8dWHh4emDVrFmbNmoU6depAEATk5ubCy8sLnp6eaNmyJR544AG0atXKqbfPduvWDTKZ\\\n",
       "DPXr17e6dUWp5s2bO3SOpk2bOhQG169fj8GDB1tdCRYA9uzZwzDoZLxllIjcBWcIiYiqsbu/aEql\\\n",
       "UqvP2jlLZmYm1q1bV2Yd043sLW2jMHnyZKeNaeXKlWZ7Eubn50OtVlf4WT7gzr6IiYmJAIDr168b\\\n",
       "wrCllUi3bNmC//77z6HzxMTE2N0mNDQU6enpAAAfHx+8/fbbWLBggVGdnJwc9OnTx6ExkXWcISQi\\\n",
       "d8EZQiKiGkKn06FFixZISkpCp06dqmwcLVq0MHpvaaauV69eTjvfjh07LJZbe8bRXkOGDDErs7aa\\\n",
       "6yOPPOLweb799lu76g8YMMAQBku98847qF+/PjQaDURRxOrVqy0u2EMVxxlCInIXDIRERDXIn3/+\\\n",
       "ifbt2+Pw4cMuWZSkPNevXzd6b+32StPQWBHWbj+t6PYRpUxDFwDcunXLYl1LX/wVCgU2bdqEU6dO\\\n",
       "WX3uErizr2JOTo5NYxo2bBj++OMPi8euX78OhUIBiUSCcePG2dQf2Y+BkIjcBQMhEVENEhISYvj1\\\n",
       "7t27bW7XsGFD7NmzBxkZGTh37pzVlUHL8tlnn6FevXrl1hMEwbB6qDO8/vrrFsu9vb2tthFFEaGh\\\n",
       "oZBIJOjWrVuZ/Vua4fTw8LBY9/z584Yg6uPjg7y8PJSUlGDgwIGIiopCRkYG7rnnHqvnCggIgFqt\\\n",
       "tnhMo9Fg2bJlkEql+OWXX8ocMxERkbPwGUIiohokLi4OTz75JADgzJkz5dYvKCgwC3/BwcEoKCgA\\\n",
       "ANSvX99s1s8ST09PPP/882blUqkUjz32mCHAtGnTBv/++2+5/dkjICAAMpnMbMsNazOEWq3WaLuK\\\n",
       "xMREhIaGIi0tzayutVtv8/LyLJZHRkaWu+jMyZMnrQZuURSdGpbJdfgMIRG5C84QEhHVIKNHj0Zq\\\n",
       "aipyc3PRo0ePMutu2bKl3JnA1NRUq7Nhdytr0/eff/4ZeXl50Gg0FsNgjx49IJPJ0L9//3LPY837\\\n",
       "779vVvb1119brGvpetLT06HX643KsrOzcfToUbO6/v7+Fbod9eWXX3a4rb0CAgKwbds2pKamIiEh\\\n",
       "AdHR0S5feMhd8JZRInIXDIRERDVMgwYN4O/vb3VbiFK2rmpZUFBgcUXNu5X37Ju3t7fFPnbs2IED\\\n",
       "Bw5Ap9Phr7/+cuhWVQB47LHHzMqef/55o1lSvV6PoKAgs5nEUnXr1jWEwiNHjiAgIMBivZSUFIfG\\\n",
       "CNy53s8//9zh9vZYu3Ytbt26hejoaISFhaF79+7Ytm0btFot9u7dWyljqM0YCInIXTAQEhHVQOXt\\\n",
       "wWfPF1RBEGzawsGRbRMWLVpk9L6oqAhxcXF29/PFF19YLG/ZsiUEQYBEIoFUKkVWVpbVPrKysiCV\\\n",
       "SiEIAjp37myxjiAIZT6baE1RUREUCgX69etnd1tHyGQyPPHEE1aP9+rVi1tRVBADIRG5CwZCIqJa\\\n",
       "yN4vqIIgoKioyOqsGQBs3brV7ts+586da1bmyB6F7733XpnHnbVJfXh4uN1tHnnkEXh6epY7Y+tM\\\n",
       "s2bNKrfOjz/+WAkjqd0YBonIHTAQEhHVQqbPy9kqLS2tzC+4f/31FwRBgKenJ+rWrYuePXuWeTtp\\\n",
       "r169zPrz8fGxa0z21q+IkpISu+o3btwYf/75p4tGY50tzyn6+flVwkiIiKimYyAkIqqlHAmFpbdf\\\n",
       "lqeoqAiZmZlISEhAVFRUmXXvXvVTEAScPXvW5vEEBAQgPz/f5voVlZ6ejrVr10Kn06GkpAR16tQx\\\n",
       "mgny9fXFX3/9hYsXLyIqKgoXL16stLHdrayZ3FLFxcWVMJLai7eMEpG7YCAkIqqlrK3CaU16ejrq\\\n",
       "169f7rYK9pJIJFCr1dDpdNDpdPDy8rKpXcuWLZGdne3UsdjiySefhEwmg0qlwu3bt42O5eXloX//\\\n",
       "/oiKirJp2w9XmDJlik0BpKrCam3BQEhE7oKBkIiolpoyZYpN9b755hsIgoDQ0FBkZmbadQ5BEHD+\\\n",
       "/Hmb6kokEpu/OBcXF9sduAICAnDp0iXMmDHDrnaOCA4ORs+ePctdndWZPDw88NFHHyE2Ntam+j/8\\\n",
       "8IOLR1S7MRASkbtgICQiqqVEUcTChQvLrPPMM89g4sSJDvVfp04daDQam/YxtNfIkSPtqt+mTRvc\\\n",
       "uHEDjRo1wuLFizF8+HCrdT08PCr0BX7KlCm4evUq9u7dC41Gg8LCQqxatQpPP/00li5disTERHz1\\\n",
       "1VdO34C+c+fOmD59us31V61a5dTzuxsGQiJyFwyERES12JtvvlnmLaD23lZaKjk52bCNgyts377d\\\n",
       "rvpffPGFUQBbv3692dgkEgm0Wi0KCwvtXjwGuBMQbt68idjYWKMA4OHhgfHjx+Prr7/Giy++iC5d\\\n",
       "umDixIkoLi5GWFiY3eexZt++fdi9e7dNdUVRRG5urtPO7Y4YCInIXTAQEhHVcgqFwmL59evXHeov\\\n",
       "NTUVLVu2tLudKIo2bQ9x+PBhFBUVAbjzpXzgwIFISUnBtm3brAZQS8/L5efnG76oK5VK6HQ6Q3u5\\\n",
       "XI6OHTvaNG6JRII///wTer0egYGBNrUpdeXKFbvql0Wv1+Ohhx6yadsOe8dJ5hgIichdMBASEdVy\\\n",
       "er0eMpnMbNXRBx54wO6+wsPDy5z1ysnJwRdffIH+/fsjPDwcKpXK8OygRCIx+nVkZCR27NiB/Px8\\\n",
       "FBQUYOvWrfD19UWXLl2g1+shl8tx+/ZtbNq0CQ0aNEB0dLTVgDVp0iSzBWBUKhVu3bqFAwcOWFxx\\\n",
       "c/Xq1WVea8OGDQ0L4di7/2IpmUyGTp06OdTWmi+//BISiQTz5s1DcXGxIWir1Wp89913kEgkZp/F\\\n",
       "3ewNOtXxVVJSYrhuay8iIrJN5T0NT0REVaZ0dmzBggV488038ffff9u1/UOp119/3WL5a6+9hg8/\\\n",
       "/NDmL+KiKOLy5cvo16+f1Tqenp5me+mFhIRYrFtUVIS6detCrVYbzdb4+/ujW7duFts0atTIrEwq\\\n",
       "lWLPnj3o0aOHDVdhm4SEBHh4eDh19VZRFDF//nzMnz/faX2SMXtm/jhDSEQ1GWcIiYjcyJw5cyCV\\\n",
       "ShETE2N3W6VSicGDBxuVHT9+HBKJBB988IHTZ2Xy8vLMynbt2mW1ful+h4cPH0ZxcTFu3bqF1NRU\\\n",
       "q0GsqKgIERER8PT0xKhRo6BWq6HVap0aBoE7t6empKRYvXWXqifeMkpE7oIzhEREZCYgIAC9evVC\\\n",
       "YGAgSkpK0K5dO0yYMAHBwcEA7sw43nfffUhISHDZGPR6PdavX48RI0YAALKysvDQQw+V2Uan06FL\\\n",
       "ly5GZTKZDAsWLMDLL78MuVyO4uJixMfH47vvvsPUqVPx8ssvu2xxnFL16tVDXl4eAgMDkZ+f79Jz\\\n",
       "kXNwhpCI3AUDIRERmenUqRN+/fVXq0Fp165dLg2DpUaOHImxY8canhtzhFarxRtvvIE33njD7FhA\\\n",
       "QIDLw2AphUKBzMxMl2zTQc7HQEhE7oK3jBIR1UASiWv/952RkVFmUDpx4oRLz383tVrtcBgsz4YN\\\n",
       "G1zSrzUqlQoBAQEu6fvNN99EcXExtFotsrOz0b17d5ecx13wllEichcMhERENZDpiqHOduHChTKP\\\n",
       "9+7d26Xnryw6nQ4ZGRlO7VMURTz44IOoV68eTp8+bXZ80KBBTj1fw4YNIYoi3n33XSiVSkilUvj5\\\n",
       "+SEhIQE6nc5lAZSIiGoHBkIiIjJTWFhY5vGoqKhKGonr1atXz2K5o4vk1KtXD3///TfS0tIQFRWF\\\n",
       "vn37Gh3fv3+/Q/2akkgkSEpKwuXLl8usc+vWLZw4cQIyGZ8SsQdnCInIXTAQEhGRmfJmIGvTipl6\\\n",
       "vR4SiQRbtmxBRkYGJk6caNgzcfbs2Xb3l56ebvR+9+7dCA0NRX5+PpKSksqdfS1LUFAQdu3aBY1G\\\n",
       "A51Oh/bt29vUrnXr1tBoNC6fWa5NGAiJyF3wx4VERGRRZmamYVVRU2lpaRAEwWwWzVJZTSCKIh5+\\\n",
       "+GGz8vfeew/vvvuuXQvPKBQKqNVqo7L09HT4+Pg4PD5BEFBcXFzhIM7gYjsuKkNE7oIzhEREZFFI\\\n",
       "SIjFPfwSEhIQGRlpCH4SiQTPPPMMcnNzodFoUFxcjK1btyIsLMzli99Uhr/++suu+mfOnHH6GC5f\\\n",
       "vuy0WVlRFGv8S6lUunzGjjOEROQuav6/1ETkEhqNBq+99hratGkDLy8vhIWFYdy4cbh+/Xq5bT/7\\\n",
       "7DM0atQIKpUKXbt2xaFDh4yOFxcXY+rUqQgMDIS3tzeGDRtmdpsd3ZGQkIAnn3yySs4tiiJkMhm8\\\n",
       "vb0RERFh+BLes2dPaDQaQ72YmBh8+eWX8PHxgVQqhVKpxIMPPmjYFP7uL/J6vR6FhYWYMmVKlVyT\\\n",
       "I6ZPn25X/cjISCiVSqeOISIiwqn9UfkYCInIXTAQEpFFhYWFSEpKwttvv42kpCT88ssvOHv2LAYP\\\n",
       "Hlxmu7i4OMycORNz585FUlIS7r33XsTExBit5Dhjxgxs2rQJ8fHx2L17N65fv47HHnvM1ZdUI3Xv\\\n",
       "3h1r1qyBKIrw9vaukjEUFBQgJSXF7DbIUm3btrW5L0EQ4OHhgdjYWKv9VTdlLdpiTV5enlPHcHcA\\\n",
       "JyIiciYGQiKyyM/PD9u2bcOIESPQvHlzdOvWDZ9++imOHj2Kq1evWm23ePFiTJo0CU899RSioqIQ\\\n",
       "GxsLT09PfPPNNwCAnJwcfP3111i8eDEeeOABdOzYEd9++y0SEhJw8ODByrq8Gunff/+t6iFYdO7c\\\n",
       "OYfayeVyhISEOHk0zufIQixyudypY/jtt9+c0k9NfL6zqnCGkIjcBQMhEdksJycHgiDA39/f4nG1\\\n",
       "Wo2jR48iOjraUCaRSBAdHY0DBw4AAI4ePQqNRmNUp0WLFoiIiDDUIcsiIyMxadKkqh6GmU2bNjnc\\\n",
       "tqwfLgAo8xlET09PrFu3DsuXL3f5lgolJSV2t/Hz83Pa+R9//HGMGDHCoUC3fft2SCQSCIJQK57p\\\n",
       "rCwMhETkLvgvAxHZpLi4GK+99hpGjRoFX19fi3Vu3rwJnU5nNusTEhKCtLQ0AHdWp1QoFGah8u46\\\n",
       "lpSUlCA3N9fo5Y5WrlyJHTt2VPUwjGg0Gpu3PzClUCiszqYdO3YMOp0OWq3WLPCNHDkSBQUFGDly\\\n",
       "JKZPnw6NRgNRFF22Cbsj4c7Zt8TGx8cbgl1cXJxNberUqYPo6GjODDqIYZCI3AEDIREBANasWQNv\\\n",
       "b2/Da+/evYZjGo3GMDvx+eefV8n4Fi1aBD8/P8MrPDy8SsZRHdx///04cOBAtfoievz4cRw9etSh\\\n",
       "tuPGjbNYfu+99wIApFIpNm/ebHTsww8/tNjGVYsTlZSUWFxx1Zrc3FwUFRW5ZCwA8MQTTyA1NbXM\\\n",
       "OikpKbh9+7bLxlDbVeYMIcMlEVUlBkIiAgAMHjwYx48fN7w6deoE4P/D4JUrV7Bt2zars4PAnU2z\\\n",
       "pVKp2Zfy9PR0hIaGAgBCQ0OhVquRnZ1ttY4ls2fPRk5OjuGVkpLi4JXWDt26dYNer8ft27cNG6lX\\\n",
       "tU6dOkGr1drdbuHChRbL7/5y3LhxY6Nj1sKZs5/du1uzZs3KrSOKImbMmOHU20Wt6dGjh9XnG0+d\\\n",
       "OsWVSSuosgIhQyARVbWq/wZBRNWCj48PmjRpYnh5eHgYwuC5c+fw999/IzAwsMw+FAoFOnbsiO3b\\\n",
       "txvK9Ho9tm/fju7duwMAOnbsCLlcblTn7NmzuHr1qqGOJUqlEr6+vkYvAvz9/fHVV19Bp9OhY8eO\\\n",
       "VT0cqFQqi+Vr165FUFAQ3n//fbNjnp6eFtvcvbLmwIEDjY79+uuvVsfQsGFDi+WCINi1wbypixcv\\\n",
       "Wl099Pjx45DJZJBIJFi6dKnD57BHmzZtkJiYiHnz5sHX19dwO6kgCGjdunWljKE2q4xA2K1bNyeP\\\n",
       "mojIfgyERGSRRqPB448/jiNHjmDNmjXQ6XRIS0tDWlqa0bNR/fr1w6effmp4P3PmTHz55Zf47rvv\\\n",
       "cPr0aTz33HMoKCjAU089BeDOs1gTJ07EzJkzsXPnThw9ehRPPfUUunfvzi9HFtSpUwd169ZFp06d\\\n",
       "8M8//5RZ98iRI5U0Kut0Oh22bNliVJabm4snn3wSWVlZeP311yGRSIyeAf32228t9tWlSxfodDok\\\n",
       "Jyebbfa+ePFiq2P477//jN5LJBJcu3YNer0eWq0Woihi165ddl7ZHb6+vrh48aLh/dWrVyGTydC+\\\n",
       "fXu7bimtiA4dOqCkpASbNm1CcHAwFixYgLy8PD4nWA0kJyejVatWhtezzz5bZv3ExEQAXP2ViKqW\\\n",
       "a5dlI6IaKzU11bDUfbt27YyO7dy5E3379gUAXLhwATdv3jQcGzlyJDIzMzFnzhykpaWhXbt22LJl\\\n",
       "i9FCM0uWLIFEIsGwYcNQUlKCmJgYrFixwuXXVBOVPgOWmZmJdu3aQSqVQqPRWJ2RCAoKMvr9qAqD\\\n",
       "Bg0ymt2Lj483Oi6KIvz8/ODv74/mzZvj0KFDFvs5fvw4VCqVxdtQy1qASKFQID8/H9OnT8ezzz6L\\\n",
       "Ll26mNXp06cP9Ho9pFKp3V/GTW9fdZRSqcS2bdvQqFEjjB492ui5XWtKSkqgUCiMxsIw4Rr2zPzd\\\n",
       "XS85Odno17GxsWW2GTNmTAVGSURUcQyERGRRo0aNbPqiaWnT7mnTpmHatGlW26hUKnz22Wf47LPP\\\n",
       "KjJEt6TT6dCsWTOre/+1bNnSpmDhKEEQ8OOPP+Lhhx/G5MmTsX79erM6pgGuRYsWFvvKzs42zJBY\\\n",
       "Y+2ZxPL2BvTy8jLsfWmNIAjIzMxEUFBQmfVcwcvLC/n5+Yb3e/bsQd++fbF7926rbbKysozCIHDn\\\n",
       "GuRyOTeudwFHA2FUVJTh171797ZY/+5nXVevXu3gCImInIOBkIiohjl//rzVY15eXi47r0QigVar\\\n",
       "NXz5jYuLgyiKZjOApkoXKHImZy3EUd5zsa5y4cIFs7K4uDirCysJgoA6depYPNauXTscPnzYqeMj\\\n",
       "xwJhVFQUTp06VW79u3/QYXoOQRCwbt06jBw50o7REhE5js8QEhHVIuXNnFXE9u3bzb68rlmzptx2\\\n",
       "prNazuDMjegrstCMo+rWrWtW5uPjY7V+Waunjh492iljImOuXFSmvH07GQaJqDJxhpCIqBqz9/mw\\\n",
       "v/76y0UjsUwul5c7RkEQqvVzbo5sleEKnp6eDn1OL774Il588UUXjMi9OXrLqC2SkpKs9lGd/64Q\\\n",
       "Ue3EGUIiIiIiIiI3xRlCIiIiIhOunCG0hDODRFRVGAiJiIiITFR2ICQiqioMhEREREQmGAiJyF0w\\\n",
       "EBIRERGZYCAkInfBQEhERERkgoGQiNwFVxklIiIiIiJyU5whJCIiIjLBGUIichcMhEREREQmGAiJ\\\n",
       "yF0wEBIRERGZYCAkInfBQEhERERkgoGQiNwFAyERERGRBQx6ROQOuMooERERERGRm+IMIREREZEJ\\\n",
       "3jJKRO6CgZCIiIjIBAMhEbkLBkIiIiIiEwyEROQuGAiJiIiITDAQEpG7YCAkIiIiMsFASETugoGQ\\\n",
       "iIiIyAQDIRG5C247QURERERE5KY4Q0hERERkgjOEROQuGAiJiIiITDAQEpG7YCAkIiIiMsFASETu\\\n",
       "goGQiIiIyAQDIRG5CwZCIiIiIhMMhETkLrjKKBERERERkZviDCERERGRCc4QEpG7YCAkIiIiMsFA\\\n",
       "SETugoGQiIiIyAQDIRG5CwZCIiIiIhMMhETkLhgIiYiIiEwwEBKRu+Aqo0RERERERG6KM4RERERE\\\n",
       "JjhDSETugoGQiIiIyAIGPSJyBwyERERERCY4Q0hE7oKBkIiIiMgEAyERuQsGQiIiIiITDIRE5C4Y\\\n",
       "CImIiIhMMBASkbvgthNERERERERuijOERERERCY4Q0hE7oKBkIiIiMgEAyERuQsGQiIiIiITDIRE\\\n",
       "5C4YCImIiIhMMBASkbtgICQiIiIywUBIRO6Cq4wSERERERG5Kc4QEhEREZlw5QyhtfqiKNrVDxGR\\\n",
       "M3CGkIiIiMhEaSC09eUMffv2dUo/RET2YCAkIiIiMuHKQCiKotHL398fALB7924XXAkRUdl4yygR\\\n",
       "1Xrz58+v6iEQUQ3jyC2jycnJaNWqlaG8d+/eiI2NLbd9dna2Q2MkInIGBkIiIiIiE44+Q5icnGz0\\\n",
       "6/ICYUJCguHXfIaQiKoCAyERERGRk0RFRRl+3bt373Lr9+zZEwAgl8tdNiYiorIwEBIRERGZcGSG\\\n",
       "MCoqCqdOnbLrHKX/VavV9g+SiMgJuKgMEdnk2WefhSAIWLp0abl1P/vsMzRq1AgqlQpdu3bFoUOH\\\n",
       "jI4XFxdj6tSpCAwMhLe3N4YNG4b09HQXjZyIyH6uXFQmJSXFqI1er3f28ImIbMZASETl+vXXX3Hw\\\n",
       "4EGEhYWVWzcuLg4zZ87E3LlzkZSUhHvvvRcxMTHIyMgw1JkxYwY2bdqE+Ph47N69G9evX8djjz3m\\\n",
       "yksgIrKLKwNhRESE4dceHh7w9PSEp6cn/z9IRFWCgZCIypSamorp06djzZo1Nj3jsnjxYkyaNAlP\\\n",
       "PfUUoqKiEBsbC09PT3zzzTcAgJycHHz99ddYvHgxHnjgAXTs2BHffvstEhIScPDgQVdfDhGRzSpj\\\n",
       "D8KioiLD69dff3XSyImIbMdASERW6fV6jB07Fq+++qrRUurWqNVqHD16FNHR0YYyiUSC6OhoHDhw\\\n",
       "AABw9OhRaDQaozotWrRARESEoQ4RUVWrzH0I734REVU2LipDRFa9//77kMlkeOGFF2yqf/PmTeh0\\\n",
       "OoSEhBiVh4SE4MyZMwCAtLQ0KBQKw0bMd9dJS0uz2ndJSQlKSkoM73Nzc228CiIiIiKyhjOERAQA\\\n",
       "WLNmDby9vQ2v3bt3Y9myZVi1alWFb4lyhkWLFsHPz8/wCg8Pr+ohEVEt5soZQiKi6oSBkIgAAIMH\\\n",
       "D8bx48cNr4SEBGRkZCAiIgIymQwymQxXrlzByy+/jEaNGlnsIygoCFKp1GzF0PT0dISGhgIAQkND\\\n",
       "oVarkZ2dbbWOJbNnz0ZOTo7hlZKSUqHrJSIqCwMhEbkL3jJKRAAAHx8f+Pj4GN5PnjwZgwYNMqoT\\\n",
       "ExODsWPH4qmnnrLYh0KhQMeOHbF9+3YMHToUwJ3nELdv345p06YBADp27Ai5XI7t27dj2LBhAICz\\\n",
       "Z8/i6tWr6N69u9XxKZVKKJXKilwiEZHNHNmHkIioJmIgJCKLAgMDERgYaFQml8sRGhqK5s2bG8r6\\\n",
       "9euHRx991BD4Zs6cifHjx6NTp07o0qULli5dioKCAkOI9PPzw8SJEzFz5kzUqVMHvr6+mD59Orp3\\\n",
       "745u3bpV3gUSEZWBgZCI3AUDIRFVyIULF3Dz5k3D+5EjRyIzMxNz5sxBWloa2rVrhy1bthgtNLNk\\\n",
       "yRJIJBIMGzYMJSUliImJwYoVK6pi+EREFjEQEpG7YCAkIptdvnzZprJp06YZZgwtUalU+Oyzz/DZ\\\n",
       "Z585cXRERM7DQEhE7oKLyhAREREREbkpzhASERERmeAMIRG5CwZCIiIiIhMMhETkLhgIiYiIiEww\\\n",
       "EBKRu2AgJCIiIjLBQEhE7oKBkIiIiMgEAyERuQuuMkpEREREROSmOENIREREZIIzhETkLhgIiYiI\\\n",
       "iEwwEBKRu2AgJCIiIjLBQEhE7oKBkIiIiMgEAyERuQsGQiIiIiITDIRE5C64yigREREREZGb4gwh\\\n",
       "EdVIoihW9RCIqJqryP8n8vLybJ75y8vLc/g8RERVjYGQiGqkvLw8zJ8/v6qHQUTVWF5eHvz8/Oxq\\\n",
       "06FDByQnJyM8PNzu83Xo0MHuNkREVU0Q+WN2IqqB9Ho9rl+/Dh8fH7d+fic3Nxfh4eFISUmBr69v\\\n",
       "VQ+nyvBzuIOfwx2iKCIvLw9hYWGQSOx/Ombs2LFISkqyq02HDh2wevVqu89FRFTVGAiJiGqw3Nxc\\\n",
       "+Pn5IScnx60DAD+HO/g5EBGRvbioDBERERERkZtiICQiIiIiInJTDIRERDWYUqnE3LlzoVQqq3oo\\\n",
       "VYqfwx38HIiIyF58hpCIiIiIiMhNcYaQiIiIiIjITTEQEhERERERuSkGQiIiIiIiIjfFQEhEVI1o\\\n",
       "NBq89tpraNOmDby8vBAWFoZx48bh+vXr5bb97LPP0KhRI6hUKnTt2hWHDh0yOl5cXIypU6ciMDAQ\\\n",
       "3t7eGDZsGNLT0111KRVS3rWYio+PR4sWLaBSqdCmTRv88ccfRsdFUcScOXNQr149eHh4IDo6GufO\\\n",
       "nXPlJVTYokWL0LlzZ/j4+KBu3boYOnQozp49W2672vhZEBGR6zAQEhFVI4WFhUhKSsLbb7+NpKQk\\\n",
       "/PLLLzh79iwGDx5cZru4uDjMnDkTc+fORVJSEu69917ExMQgIyPDUGfGjBnYtGkT4uPjsXv3bly/\\\n",
       "fh2PPfaYqy/JbrZcy90SEhIwatQoTJw4EceOHcPQoUMxdOhQnDx50lDngw8+wPLlyxEbG4vExER4\\\n",
       "eXkhJiYGxcXFlXVZdtu9ezemTp2KgwcPYtu2bdBoNHjooYdQUFBgtU1t/SyIiMiFRCIiqtYOHTok\\\n",
       "AhCvXLlitU6XLl3EqVOnGt7rdDoxLCxMXLRokSiKopidnS3K5XIxPj7eUOf06dMiAPHAgQOuG7wD\\\n",
       "yrsWUyNGjBAHDBhgVNa1a1dxypQpoiiKol6vF0NDQ8UPP/zQcDw7O1tUKpXi2rVrXXAFrpGRkSEC\\\n",
       "EHfv3m21jrt8FkRE5DycISQiquZycnIgCAL8/f0tHler1Th69Ciio6MNZRKJBNHR0Thw4AAA4OjR\\\n",
       "o9BoNEZ1WrRogYiICEOd6sCWazF14MABo/oAEBMTY6h/6dIlpKWlGdXx8/ND165dq9W1lycnJwcA\\\n",
       "UKdOHat13OWzICIi52EgJCKqxoqLi/Haa69h1KhR8PX1tVjn5s2b0Ol0CAkJMSoPCQlBWloaACAt\\\n",
       "LQ0KhcIsVN5dpzqw5VpMpaWllXvtpWW29lnd6PV6vPTSS+jZsydat25ttZ47fBZERORcDIRERFVo\\\n",
       "zZo18Pb2Nrz27t1rOKbRaDBixAiIoojPP/+8CkdJVW3q1Kk4efIk1q1bV9VDISKiWkZW1QMgInJn\\\n",
       "gwcPRteuXQ3v69evD+D/w+CVK1ewY8cOq7ODABAUFASpVGq2Ymh6ejpCQ0MBAKGhoVCr1cjOzjaa\\\n",
       "Jby7TnVgy7WYCg0NLffaS8vq1atnVKddu3ZOHL1rTJs2Db///jv27NmDBg0alFm3tn8WRETkfJwh\\\n",
       "JCKqQj4+PmjSpInh5eHhYQiD586dw99//43AwMAy+1AoFOjYsSO2b99uKNPr9di+fTu6d+8OAOjY\\\n",
       "sSPkcrlRnbNnz+Lq1auGOtWBLddiqnv37kb1AWDbtm2G+pGRkQgNDTWqk5ubi8TExGp17aZEUcS0\\\n",
       "adPw66+/YseOHYiMjCy3TW39LIiIyIWqelUbIiL6f2q1Whw8eLDYoEED8fjx4+KNGzcMr5KSEkO9\\\n",
       "Bx54QPzkk08M79etWycqlUpx1apVYnJysjh58mTR399fTEtLM9R59tlnxYiICHHHjh3ikSNHxO7d\\\n",
       "u4vdu3ev1OuzRXnXMnbsWPH111831N+/f78ok8nEjz76SDx9+rQ4d+5cUS6XiydOnDDUee+990R/\\\n",
       "f39x48aN4r///isOGTJEjIyMFIuKiir9+mz13HPPiX5+fuKuXbuM/hwUFhYa6rjLZ0FERK7DQEhE\\\n",
       "VI1cunRJBGDxtXPnTkO9hg0binPnzjVq+8knn4gRERGiQqEQu3TpIh48eNDoeFFRkfj888+LAQEB\\\n",
       "oqenp/joo4+KN27cqISrsl9Z19KnTx9x/PjxRvXXr18vNmvWTFQoFGKrVq3EzZs3Gx3X6/Xi22+/\\\n",
       "LYaEhIhKpVLs16+fePbs2cq4FIdZ+3Pw7bffGuq4y2dBRESuI4iiKFbN3CQRERERERFVJT5DSERE\\\n",
       "RERE5KYYCImIiIiIiNwUAyEREREREZGbYiAkIiIiIiJyUwyEREREREREboqBkIiIiIiIyE0xEBIR\\\n",
       "EREREbkpBkIiIiIiIiI3xUBIREQ1wtdff42HHnrI5efZsmUL2rVrB71e7/JzERERVTUGQiIiqvaK\\\n",
       "i4vx9ttvY+7cuS4/V//+/SGXy7FmzRqXn4uIiKiqMRASEVG199NPP8HX1xc9e/aslPNNmDABy5cv\\\n",
       "r5RzERERVSUGQiIiqjSZmZkIDQ3FwoULDWUJCQlQKBTYvn271Xbr1q3DoEGDjMr69u2Ll156yahs\\\n",
       "6NChmDBhguF9o0aN8O6772LcuHHw9vZGw4YN8dtvvyEzMxNDhgyBt7c32rZtiyNHjhj1M2jQIBw5\\\n",
       "cgQXLlxw/GKJiIhqAAZCIiKqNMHBwfjmm28wb948HDlyBHl5eRg7diymTZuGfv36WW23b98+dOrU\\\n",
       "yaFzLlmyBD179sSxY8cwYMAAjB07FuPGjcOYMWOQlJSExo0bY9y4cRBF0dAmIiICISEh2Lt3r0Pn\\\n",
       "JCIiqikYCImIqFI98sgjmDRpEkaPHo1nn30WXl5eWLRokdX62dnZyMnJQVhYmMPnmzJlCpo2bYo5\\\n",
       "c+YgNzcXnTt3xvDhw9GsWTO89tprOH36NNLT043ahYWF4cqVKw6dk4iIqKZgICQiokr30UcfQavV\\\n",
       "Ij4+HmvWrIFSqbRat6ioCACgUqkcOlfbtm0Nvw4JCQEAtGnTxqwsIyPDqJ2HhwcKCwsdOicREVFN\\\n",
       "wUBIRESV7sKFC7h+/Tr0ej0uX75cZt3AwEAIgoDbt2+X269OpzMrk8vlhl8LgmC1zHSbiVu3biE4\\\n",
       "OLjccxIREdVkDIRERFSp1Go1xowZg5EjR+Kdd97BM888YzY7dzeFQoGoqCgkJyebHTO9zfPixYtO\\\n",
       "GWNxcTEuXLiA9u3bO6U/IiKi6oqBkIiIKtWbb76JnJwcLF++HK+99hqaNWuGp59+usw2MTEx2Ldv\\\n",
       "n1n5xo0b8csvv+DChQv43//+h+TkZFy5cgWpqakVGuPBgwehVCrRvXv3CvVDRERU3TEQEhFRpdm1\\\n",
       "axeWLl2K1atXw9fXFxKJBKtXr8bevXvx+eefW203ceJE/PHHH8jJyTEqHzBgAD744ANERUVhz549\\\n",
       "WLFiBQ4dOoTVq1dXaJxr167F6NGj4enpWaF+iIiIqjtBvHudbSIiompq+PDh6NChA2bPng3gzj6E\\\n",
       "7dq1w9KlS516nps3b6J58+Y4cuQIIiMjndo3ERFRdcMZQiIiqhE+/PBDeHt7u/w8ly9fxooVKxgG\\\n",
       "iYjILXCGkIiIaiRXzRASERG5EwZCIiIiIiIiN8VbRomIiIiIiNwUAyEREREREZGbYiAkIiIiIiJy\\\n",
       "UwyEREREREREboqBkIiIiIiIyE0xEBIREREREbkpBkIiIiIiIiI3xUBIRERERETkphgIiYiIiIiI\\\n",
       "3BQDIRERERERkZtiICQiIiIiInJTDIRERERERERuioGQiIiIiIjITTEQEhERERERuan/A8QV2b65\\\n",
       "Tu57AAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[28] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAeAhJREFUeJzt3Xd4U9XjBvD3JmmS7pYWOpiV0TKK7CEyhEpVFBkCggwRQRBE\\\n",
       "5OtCEQQV3IAKIi4UWeIAUUTZe0jLEIGyKRS6KN1t5v39wdP8yGySJk3bvJ/nySM599xzz01B8nLO\\\n",
       "PUcQRVEEEREREREReR2JpztAREREREREnsFASERERERE5KUYCImIiIiIiLwUAyEREREREZGXYiAk\\\n",
       "IiIiIiLyUgyEREREREREXoqBkIiIiIiIyEsxEBIREREREXkpBkIiIiIiIiIvxUBIRERERETkpRgI\\\n",
       "iYiIiIiIvBQDIRERERERkZdiICQiIiIiIvJSDIREREREREReioGQiIicsnPnTgiCgJ07d3q6K+Ri\\\n",
       "hw8fhlwux5UrVyr92jdv3oS/vz82bdpU6dcmIvJGDIRERGTTkiVLsHz5ck93wymrVq3CwoULPd0N\\\n",
       "AIBer8f777+PmJgYKJVKtG7dGqtXr7b7/NzcXEyYMAG1a9eGv78/7rvvPiQnJ5vVW7t2LUaOHImm\\\n",
       "TZtCEAT06tXL4b6+/vrrGD58OBo2bOjwuRUVFhaGp59+Gm+88UalX5uIyBsJoiiKnu4EERFVXa1a\\\n",
       "tUJ4eLjZSKBer4darYZcLodEUjX/ffHhhx/GyZMncfnyZU93BTNmzMC7776L8ePHo2PHjtiwYQP+\\\n",
       "+OMPrF69Go8//rjNc/V6Pbp3747jx4/jpZdeQnh4OJYsWYKrV68iKSkJTZs2NdTt1asXkpKS0LFj\\\n",
       "Rxw7dgytW7d2aBT32LFjaNu2Lfbv34+uXbs6e7sVcvr0abRo0QLbtm1D7969PdIHIiJvwUBIRGSH\\\n",
       "oqIi+Pv7e7obHmEtEFYHVSUQpqWlISYmBhMmTMBnn30GABBFET179sSlS5dw+fJlSKVSq+f/+OOP\\\n",
       "GDZsGNatW4fHHnsMAJCVlYVmzZrhwQcfxKpVqwx1r169irp160IikTj1s3v++eexfv16XL58GYIg\\\n",
       "OHfDLhAfH4+2bdvi+++/91gfiIi8QdX8J10iIjdKS0vDuHHjEB0dDYVCgZiYGEyaNAlqtRoAsHz5\\\n",
       "cgiCgF27duHZZ59FnTp1UK9ePcP5S5YsQcuWLaFQKBAdHY3JkycjNzfX6Brnzp3D4MGDERkZCaVS\\\n",
       "iXr16uHxxx9HXl6eoc6WLVtw7733IiQkBAEBAYiNjcVrr71Wbv/tOU+lUmH27Nlo0qQJFAoF6tev\\\n",
       "j5dffhkqlcqsvR9++AGdOnWCn58fQkND0aNHD/z9998AgEaNGuG///7Drl27IAiC0RREa88Qrlu3\\\n",
       "Du3bt4evry/Cw8MxcuRIpKWlGdV58sknERAQgLS0NAwYMAABAQGoXbs2XnzxReh0unI/gw0bNqBf\\\n",
       "v36Gn2Hjxo3x1ltvGZ3bq1cv/PHHH7hy5Yqh740aNbLa5pNPPmmoZ/p68803y+1Tef3VaDR49tln\\\n",
       "DWWCIGDSpEm4du0aDhw4YPP8n376CRERERg0aJChrHbt2hg6dCg2bNhg9HOtX79+hUZs169fj969\\\n",
       "e5uFQWufQ6NGjfDkk08a3pf9+dm7dy+mTp2K2rVrIyQkBM888wzUajVyc3MxevRohIaGIjQ0FC+/\\\n",
       "/DIs/dv0/fffj40bN1o8RkREriPzdAeIiCrT9evX0alTJ8PzWHFxcUhLS8NPP/2E4uJiyOVyQ91n\\\n",
       "n30WtWvXxqxZs1BUVAQAePPNNzFnzhwkJCRg0qRJSElJweeff45//vkH+/btg4+PD9RqNRITE6FS\\\n",
       "qfDcc88hMjISaWlp+P3335Gbm4vg4GD8999/ePjhh9G6dWvMnTsXCoUC58+fx759+2z2357z9Ho9\\\n",
       "+vfvj71792LChAlo3rw5/v33XyxYsABnz57F+vXrDXXnzJmDN998E/fccw/mzp0LuVyOQ4cOYfv2\\\n",
       "7ejbty8WLlyI5557DgEBAXj99dcBABEREVb7t3z5cowdOxYdO3bE/PnzkZGRgUWLFmHfvn04evQo\\\n",
       "QkJCDHV1Oh0SExPRuXNnfPjhh9i6dSs++ugjNG7cGJMmTbL5OSxfvhwBAQGYPn06AgICsH37dsya\\\n",
       "NQv5+fn44IMPANx+Di4vLw/Xrl3DggULAAABAQFW23zmmWeQkJBgVLZ582asXLkSderUMZRlZ2fb\\\n",
       "7FuZwMBAKBQKAMDRo0fh7++P5s2bG9Xp1KmT4fi9995rta2jR4+iXbt2ZkGvU6dOWLZsGc6ePYv4\\\n",
       "+Hi7+mVLWloaUlNT0a5duwq3VfZ7f86cOTh48CCWLVuGkJAQ7N+/Hw0aNMC8efOwadMmfPDBB2jV\\\n",
       "qhVGjx5tdH779u2xYMEC/Pfff2jVqlWF+0NERFaIREReZPTo0aJEIhH/+ecfs2N6vV4URVH89ttv\\\n",
       "RQDivffeK2q1WsPxzMxMUS6Xi3379hV1Op2h/LPPPhMBiN98840oiqJ49OhREYC4bt06q/1YsGCB\\\n",
       "CEDMyspyqP/2nLdixQpRIpGIe/bsMSpfunSpCEDct2+fKIqieO7cOVEikYgDBw40uh9R/P/PQhRF\\\n",
       "sWXLlmLPnj3NrrNjxw4RgLhjxw5RFEVRrVaLderUEVu1aiWWlJQY6v3+++8iAHHWrFmGsjFjxogA\\\n",
       "xLlz5xq12bZtW7F9+/a2PwRRFIuLi83KnnnmGdHPz08sLS01lPXr109s2LBhue1Zcu7cOTE4OFi8\\\n",
       "//77jX4fALDr9e233xr146677jK7RlFRkQhAfPXVV232xd/fX3zqqafMyv/44w8RgLh582aL51n7\\\n",
       "2VmzdetWEYC4ceNGs2MAxNmzZ5uVN2zYUBwzZozhfdmfn8TERKPfR127dhUFQRAnTpxoKNNqtWK9\\\n",
       "evUs9nH//v0iAHHt2rV295+IiBzHKaNE5DX0ej3Wr1+PRx55BB06dDA7bjpFbvz48UbPdW3duhVq\\\n",
       "tRrTpk0zGqkZP348goKC8McffwAAgoODAQB//fUXiouLLfalbKRsw4YN0Ov1dt+DPeetW7cOzZs3\\\n",
       "R1xcHLKzsw2vssU5duzYAeD21EC9Xo9Zs2aZjTw58+zYkSNHkJmZiWeffRZKpdJQ3q9fP8TFxRk+\\\n",
       "nztNnDjR6H337t1x8eLFcq/l6+tr+HVBQQGys7PRvXt3FBcX48yZMw733VRRUREGDhyI0NBQrF69\\\n",
       "2uj3wZYtW+x6JSYmGs4pKSkxjBbeqexzKikpsdmfip5vr5s3bwIAQkNDK9zWuHHjjH4fde7cGaIo\\\n",
       "Yty4cYYyqVSKDh06WPyZl/XB3hFZIiJyDqeMEpHXyMrKQn5+vt3Tz2JiYozel+3JFhsba1Qul8tx\\\n",
       "1113GY7HxMRg+vTp+Pjjj7Fy5Up0794d/fv3x8iRIw1hcdiwYfjqq6/w9NNP49VXX0WfPn0waNAg\\\n",
       "PPbYYzaf/7LnvHPnzuH06dOoXbu2xTYyMzMBABcuXIBEIkGLFi3s+jzKY+3zAYC4uDjs3bvXqEyp\\\n",
       "VJr1MTQ0FLdu3Sr3Wv/99x9mzpyJ7du3Iz8/3+jYnc9pOmv8+PG4cOEC9u/fj7CwMKNjptNK7eHr\\\n",
       "62vx+c3S0lLDcXee7yjRBc/tNWjQwOh92e/9+vXrm5Vb+pmX9cGTC9sQEXkDBkIiIisq8iX7o48+\\\n",
       "wpNPPokNGzbg77//xtSpUzF//nwcPHgQ9erVg6+vL3bv3o0dO3bgjz/+wObNm7F27Vr07t0bf//9\\\n",
       "t9UVJ+05T6/XIz4+Hh9//LHFNky/kHuKrVU1bcnNzUXPnj0RFBSEuXPnonHjxlAqlUhOTsYrr7zi\\\n",
       "0IirJYsWLcLq1avxww8/oE2bNmbH09PT7WonODjY8HsoKioKO3bsgCiKRgHnxo0bAIDo6GibbUVF\\\n",
       "RRnq3sne8+1VFn7tCeVlrIVHaz9fS+WW2ijrQ3h4uN19ISIix3HKKBF5jdq1ayMoKAgnT5506vyy\\\n",
       "TbpTUlKMytVqNS5dumS2iXd8fDxmzpyJ3bt3Y8+ePUhLS8PSpUsNxyUSCfr06YOPP/4Yp06dwjvv\\\n",
       "vIPt27cbpnRaU955jRs3Rk5ODvr06YOEhASzV9kIXuPGjaHX63Hq1Cmb17N3hMba51NW5qpNznfu\\\n",
       "3ImbN29i+fLleP755/Hwww8jISHB4jRHR0eX9uzZgxdffBHTpk3DE088YbFOVFSUXa+1a9cazmnT\\\n",
       "pg2Ki4tx+vRpo7YOHTpkOG5LmzZtkJycbBZ2Dx06BD8/PzRr1syh+7QmLi4OAHDp0iWLxwsKCszK\\\n",
       "ykacXa2sD6YL8RARkWsxEBKR15BIJBgwYAA2btyII0eOmB0vb5pcQkIC5HI5PvnkE6O6X3/9NfLy\\\n",
       "8tCvXz8AQH5+PrRardG58fHxkEgkhml/OTk5Zu2XhQJLUwPL2HPe0KFDkZaWhi+//NKsbklJiWHF\\\n",
       "1AEDBkAikWDu3LlmQePO+/P39zfbVsOSDh06oE6dOli6dKnRPfz55584ffq04fOpqLIRpjv7qFar\\\n",
       "sWTJErO6/v7+dk8hvXHjBoYOHYp7773XsFKpJc48Q/joo4/Cx8fHqI+iKGLp0qWoW7cu7rnnHqN+\\\n",
       "nDlzBhqNxlD22GOPISMjA7/88ouhLDs7G+vWrcMjjzxi8flCZ9StWxf169e3+OcDgNkWI3/++SdK\\\n",
       "S0vdsjVEUlISgoOD0bJlS5e3TURE/49TRonIq8ybNw9///03evbsadiS4caNG1i3bh327t1rtC2C\\\n",
       "qdq1a2PGjBmYM2cOHnjgAfTv3x8pKSlYsmQJOnbsiJEjRwIAtm/fjilTpmDIkCFo1qwZtFotVqxY\\\n",
       "AalUisGDBwMA5s6di927d6Nfv35o2LAhMjMzsWTJEtSrV8/m9gP2nDdq1Cj8+OOPmDhxInbs2IFu\\\n",
       "3bpBp9PhzJkz+PHHH/HXX3+hQ4cOaNKkCV5//XW89dZb6N69OwYNGgSFQoF//vkH0dHRmD9/PoDb\\\n",
       "y/9//vnnePvtt9GkSRPUqVPHsEDNnXx8fPDee+9h7Nix6NmzJ4YPH27YdqJRo0Z44YUXnP2xGbnn\\\n",
       "nnsQGhqKMWPGYOrUqRAEAStWrLAYStq3b4+1a9di+vTp6NixIwICAvDII49YbHfq1KnIysrCyy+/\\\n",
       "jDVr1hgda926NVq3bg3AuWcI69Wrh2nTpuGDDz6ARqNBx44dsX79euzZswcrV640mkY5Y8YMfPfd\\\n",
       "d7h06ZJh38THHnsMXbp0wdixY3Hq1CmEh4djyZIl0Ol0mDNnjtG1du/ejd27dwO4/dxsUVER3n77\\\n",
       "bQBAjx490KNHD5t9ffTRR/Hrr7+aTW8FgNOnT+Ohhx5C//79cf36dSxatAjBwcHYv38/Vq9ejeHD\\\n",
       "hzv82VizZcsWPPLII3yGkIjI3TyxtCkRkSdduXJFHD16tFi7dm1RoVCId911lzh58mRRpVKJovj/\\\n",
       "y+Zb2ppCFG9vMxEXFyf6+PiIERER4qRJk8Rbt24Zjl+8eFF86qmnxMaNG4tKpVKsVauWeN9994lb\\\n",
       "t2411Nm2bZv46KOPitHR0aJcLhejo6PF4cOHi2fPnrXZd3vPU6vV4nvvvSe2bNlSVCgUYmhoqNi+\\\n",
       "fXtxzpw5Yl5enlHdb775Rmzbtq2hXs+ePcUtW7YYjqenp4v9+vUTAwMDRQCGLQJMt50os3btWkN7\\\n",
       "tWrVEp944gnx2rVrRnXGjBkj+vv7m93f7NmzRXv+atq3b5/YpUsX0dfXV4yOjhZffvll8a+//jLr\\\n",
       "T2FhoThixAgxJCREBGBzC4qePXta3ULC0nYLjtLpdOK8efPEhg0binK5XGzZsqX4ww8/mNUr25Lj\\\n",
       "0qVLRuU5OTniuHHjxLCwMNHPz0/s2bOnxd+jZZ+hs/eRnJwsAjDbtgSAOH36dHHIkCGir6+vGBUV\\\n",
       "JX722Wfi0qVLRT8/P/Hpp58WRdH6n5+yfplumWLp98Lp06dFAEZ/ZoiIyD0EUXTDPA8iIiKqtvr0\\\n",
       "6YPo6GisWLHCUCYIAmbPno0333zT7defNm0adu/ejaSkJI4QEhG5GZ8hJCIiIiPz5s3D2rVrDVuJ\\\n",
       "VKabN2/iq6++wttvv80wSERUCfgMIRERERnp3Lkz1Gq1R64dFhaGwsJCj1ybiMgbcYSQiIiIiIjI\\\n",
       "S3GEkIiIiMrFJQeIiGomjhASERERERF5KQZCIiIiIiIiL8Upo0RULen1ely/fh2BgYFciZCIjIii\\\n",
       "iIKCAkRHR0MicfzfvkeMGIHk5GSHzmnXrh1WrVrl8LWIiDyNgZCIqqXr16/jq6++8nQ3iKiKmjNn\\\n",
       "Dq5evYp69eo5dN6IESOwevVqh6+XkpICAAyFRFTtMBASUbUUGBgIABwdJCKryv4/4QhHRwadPdfS\\\n",
       "/7vKFu55++238cYbb5gdl8vlUKlUTvePiMgSBkIiqpYYBImoPBX9/4S957t6BdZvv/3WYrmn9oYk\\\n",
       "opqNgZCIiIjIhCAIDgVKR0PhnfVNr3PhwgWL/QEAqVQKnU7n0LWIiGxhICQiIiIy4UwgTElJQVxc\\\n",
       "nKGse/fu+PLLL13ar6ZNm7q0PSIiBkIiIiIiE44GwjJli8uU/doVgXDEiBGGX585c6bC7RER3YmB\\\n",
       "kIiIiMiEs4EwNjbW8Ovu3btXuB9vv/22YdXTO9smInIVBkIiIiIiE84EwtjYWJeO4N252mhYWBhH\\\n",
       "B4nILRzfrZWIiIiI3OrOMBgUFITs7GwP94iIaioGQiIiIiITZSOE9r4c1bFjR7NzBUGAVCo124dQ\\\n",
       "rVbD19cXvr6+ePHFF11yf0REZRgIiYiIiEy4OxAeOXLEYrlerzfblL60tNTw+uijj5y6HyIia/gM\\\n",
       "IREREZEJZ4OevVy9mT0RkbMYCImIiIhMuDsQEhFVFQyERERERCYYCInIW/AZQiIiIiIiIi/FEUIi\\\n",
       "IiIiExwhJCJvwRFCIrLbu+++C0EQMG3aNJv11q1bh7i4OCiVSsTHx2PTpk1Gx0VRxKxZsxAVFQVf\\\n",
       "X18kJCTg3Llzbuw5EZFj3L3KKBFRVcFASER2+eeff/DFF1+gdevWNuvt378fw4cPx7hx43D06FEM\\\n",
       "GDAAAwYMwMmTJw113n//fXzyySdYunQpDh06BH9/fyQmJqK0tNTdt0FEZBcGQiLyFgyERFSuwsJC\\\n",
       "PPHEE/jyyy8RGhpqs+6iRYvwwAMP4KWXXkLz5s3x1ltvoV27dvjss88A3B4dXLhwIWbOnIlHH30U\\\n",
       "rVu3xvfff4/r169j/fr1lXA3RETlYyAkIm/BQEhE5Zo8eTL69euHhISEcuseOHDArF5iYiIOHDgA\\\n",
       "ALh06RLS09ON6gQHB6Nz586GOpaoVCrk5+cbvYiI3IWBkIi8BQMhEdm0Zs0aJCcnY/78+XbVT09P\\\n",
       "R0REhFFZREQE0tPTDcfLyqzVsWT+/PkIDg42vOrXr+/IbRARERGRBQyERGTV1atX8fzzz2PlypVQ\\\n",
       "KpUe7cuMGTOQl5dneF29etWj/SGimo0jhETkLbjtBBFZlZSUhMzMTLRr185QptPpsHv3bnz22WdQ\\\n",
       "qVSQSqVG50RGRiIjI8OoLCMjA5GRkYbjZWVRUVFGddq0aWO1LwqFAgqFoqK3RERkFwY9IvIWHCEk\\\n",
       "Iqv69OmDf//9F8eOHTO8OnTogCeeeALHjh0zC4MA0LVrV2zbts2obMuWLejatSsAICYmBpGRkUZ1\\\n",
       "8vPzcejQIUMdIqKqgKODROQNOEJIRFYFBgaiVatWRmX+/v4ICwszlI8ePRp169Y1PGP4/PPPo2fP\\\n",
       "nvjoo4/Qr18/rFmzBkeOHMGyZcsAwLCP4dtvv42mTZsiJiYGb7zxBqKjozFgwIBKvT8iImscCXsM\\\n",
       "hURUnTEQElGFpKamQiL5/8kG99xzD1atWoWZM2fitddeQ9OmTbF+/XqjYPnyyy+jqKgIEyZMQG5u\\\n",
       "Lu69915s3rzZ488pEhGVYSAkIm8hiKIoeroTRESOys/Px8cff8wvYkRk0Ztvvom8vDwEBQU5dF5c\\\n",
       "XBxSUlIQHh5u9I9dtuj1emRnZyM2NhZnzpxxprtERB7DZwiJiIiIiIi8FKeMEhEREZnglFEi8hYM\\\n",
       "hEREREQmGAiJyFswEBJRjTd79mxPd4GIXGjOnDluvwYDIRF5CwZCIiIiIhMMhETkLRgIiYiIiEww\\\n",
       "EBKRt+Aqo0RERERERF6KI4REREREJjhCSETegoGQiIiIyAQDIRF5CwZCIiIiIhMMhETkLRgIiYiI\\\n",
       "iEwwEBKRt2AgJCIiIjLBQEhE3oKrjBIREREREXkpjhASERERmeAIIRF5CwZCIiIiIhMMhETkLRgI\\\n",
       "iYiIiEwwEBKRt2AgJCIiIjLBQEhE3oKBkIiIiMgCBj0i8gZcZZSIiIiIiMhLcYSQiIiIyASnjBKR\\\n",
       "t2AgJCIiIjLBQEhE3oKBkIiIiMgEAyEReQsGQiIiIiITDIRE5C0YCImIiIhMMBASkbdgICQiIiIy\\\n",
       "wUBIRN6C204QERERERF5KY4QEhEREZngCCEReQsGQiIiIiITDIRE5C04ZZSIiIjIRFkgtPflivbv\\\n",
       "lJqa6pLrEBGVh4GQiIiIyIS7A2F5GjZsaLF8xIgRLr8WEXk3BkIiIiIiE+4OhKIoGl6mUlNTzerd\\\n",
       "ddddAIDVq1c7f1NERBYwEBIRERFVIZZGBy9cuOCBnhCRN+CiMkREREQmnFlUJiUlBXFxcYby7t27\\\n",
       "48svv3S6DwqFwulziYjsxUBIREREZMLZVUZTUlKMfl2RQEhEVBkYCImIiIhMOBsIY2NjDb/u3r17\\\n",
       "hfqgUqkqdD4RkT0YCImIiIhMOBMIY2NjcebMmQpf+8qVK2bPEd45FZWIyJUYCImIiIhMuHtj+o4d\\\n",
       "O+LIkSNm7UgkEuh0OqttDx8+3OFrERHZwlVGiYiIiCqZaRgso9frAdweJbRk1apVbusTEXknjhAS\\\n",
       "ERERmXD3CKGl/Qfv1KBBg3LrEBG5AgMhERERkQXOBD0iouqGgZCIiIjIhLtHCImIqgoGQiIiIiIT\\\n",
       "DIRE5C0YCImIiIhMMBASkbdgICQiIiIywUBIRN6C204QERERERF5KY4QEhEREZngCCEReQsGQiIi\\\n",
       "IiITDIRE5C0YCImIiIhMMBASkbdgICQiIiIywUBIRN6CgZCIiIjIBAMhEXkLrjJKRERERETkpThC\\\n",
       "SERUhVkbeRBFsZJ74jk3b95EeHi40+eX91mFhYUhJyfH6farG2/6vVMRHCEkIm/BQEhEVM0EBgZ6\\\n",
       "uguV6tq1a06fq1Qqy61z69Ytp9unmouBkIi8BQMhEVE1k5mZ6ekuVKqjR486fe758+dtHtdqtRwx\\\n",
       "I4sYCInIW/AZQiKiasLf3x+FhYV2jXrVJM2bN3fqvN69e6Nu3bo26zRp0sSptqnmKwuE9r6IiKor\\\n",
       "BkIismr+/Pno2LEjAgMDUadOHQwYMAApKSnlnrdu3TrExcVBqVQiPj4emzZtMjouiiJmzZqFqKgo\\\n",
       "+Pr6IiEhAefOnXPXbVRroigaXoWFhfD39/d0lypdp06drB67ePGi0Wek0WiQlZUFnU6Hbdu22Ww3\\\n",
       "KysLV65ccapPPXv2xD///IOOHTs6dT5VfQyEROQtGAiJyKpdu3Zh8uTJOHjwILZs2QKNRoO+ffui\\\n",
       "qKjI6jn79+/H8OHDMW7cOBw9ehQDBgzAgAEDcPLkSUOd999/H5988gmWLl2KQ4cOwd/fH4mJiSgt\\\n",
       "La2M26JqRhAErFy50qgsNDQUoigiJibGqFwmkyE8PBwSie2/3tLT01GnTh2n+lNcXIydO3eiQ4cO\\\n",
       "OHz4MLRarVPtuNN9992HAQMGMKgQEVG5+AwhEVm1efNmo/fLly9HnTp1kJSUhB49elg8Z9GiRXjg\\\n",
       "gQfw0ksvAQDeeustbNmyBZ999hmWLl0KURSxcOFCzJw5E48++igA4Pvvv0dERATWr1+Pxx9/3L03\\\n",
       "RdXSiBEjMHz4cBQUFCAgIKDcwGdLw4YNkZqa6tS5c+bMga+vr1GZVCpFSUmJWbkn9O7d22xk1M/P\\\n",
       "DyUlJR7qUfXFZwiJyFtwhJCI7JaXlwcAqFWrltU6Bw4cQEJCglFZYmIiDhw4AAC4dOkS0tPTjeoE\\\n",
       "Bwejc+fOhjqWqFQq5OfnG72o6vv6668NX6zDwsIq1JYgCAgKCnI6DL7//vsQBMHpMAgAs2bNsliu\\\n",
       "VCrRoEEDp9t1hV9++cXiNNni4mIGFidwyigReQsGQiKyi16vx7Rp09CtWze0atXKar309HREREQY\\\n",
       "lUVERCA9Pd1wvKzMWh1L5s+fj+DgYMOrfv36zt4KVZIRI0bg6aefNrzPycnBAw884JG+/Pjjj3jl\\\n",
       "lVcq1EZ5gfbChQsVar8iLl68iIEDB1o9rlarK7E3NQMDIRF5CwZCIrLL5MmTcfLkSaxZs8Yj158x\\\n",
       "Ywby8vIMr6tXr3qkH2QfjUaD1atXm5Vv3bq13PNu3rzp8v68+OKLFW7j+vXrNo/LZDL4+PhU+Dr2\\\n",
       "kkgk6Nu3L/R6vdmzlKZkMhn0ej2efPLJyulcDcEwSETegIGQiMo1ZcoU/P7779ixYwfq1atns25k\\\n",
       "ZCQyMjKMyjIyMhAZGWk4XlZmrY4lCoUCQUFBRi9yjZycHISFhaFWrVoue9YsNDTUYrmtwNS/f3/I\\\n",
       "5XKEh4dDKpXadR17R77++ecfu+pJpVIolUooFArD1FSZTIarV69CLpeXe35OTo5d17GHQqHAxIkT\\\n",
       "kZeXB71eb7SaqiiK0Ol0+Ouvvxx6zu3bb791Wf9qOo4QEpG3YCAkIqtEUcSUKVPw66+/Yvv27eWO\\\n",
       "QgBA165dzZ5j2rJlC7p27QoAiImJQWRkpFGd/Px8HDp0yFCHKteJEydQUFCAoqIiFBYWVrg9jUZj\\\n",
       "dSXaDRs2WCzX6/XYuHGj0fu5c+davYZWq4VEIoFCoYBUKi13c/mIiAiIooibN28iLS0NhYWF0Gg0\\\n",
       "ZkFLq9WipKQEpaWl0Ol0hq0syvuHkDIBAQFW79GWLl26ID8/36g/paWl+PzzzxEUFMTAQUREbsNA\\\n",
       "SERWTZ48GT/88ANWrVqFwMBApKenIz093WgUafTo0ZgxY4bh/fPPP4/Nmzfjo48+wpkzZ/Dmm2/i\\\n",
       "yJEjmDJlCoDb/+o+bdo0vP322/jtt9/w77//YvTo0YiOjsaAAQMq+xYJQK9evZCTk4Nbt26hdu3a\\\n",
       "5dbPy8uDXC6HIAgICAjA6dOnDcfUajWUSqXVc/v27Wux3NJ+gMuXL7fajlwuN4RAvV6PBg0aQK/X\\\n",
       "l9v3WrVqITo6Gv7+/pDJZG4JWv3794dGo7Frz8iyqZwHDhxAYGAgg18VwhFCIvIWDIREZNXnn3+O\\\n",
       "vLw89OrVC1FRUYbX2rVrDXVSU1Nx48YNw/t77rkHq1atwrJly3D33Xfjp59+wvr1640Wonn55Zfx\\\n",
       "3HPPYcKECejYsSMKCwuxefNmm0GC3CsgIAB+fn521Q0JCYFGowEAFBUVoUWLFoYvxQqFwmows/Wl\\\n",
       "2dJ0YWsrev7yyy9mI4LXrl3D3XffbVf/K4NMJkNhYSFOnTpltY5UKoVGo2GYqKIYCInIW3AfQiKy\\\n",
       "qrxpeACwc+dOs7IhQ4ZgyJAhVs8RBAFz5861OSWQqqZ58+Y5fW7ZVEhLX559fX3h6+trGH2WSCRW\\\n",
       "F0AZOnSoxfKTJ0+isLAQAQEBTvfR1Zo3bw6VSgWlUmn250mlUnmkTzUhvMyYMcOuZzorgvsQEpG3\\\n",
       "4AghERHZbebMmRU631ZYKy4uRnJyMnbu3AmdTme1nq1jgYGBmDx5ss06lU0ul0On0yEqKgrA7bCb\\\n",
       "lpZm98I55BkcISQib8FASEREdsnLy7Nr1NiW4uJiSCQSq+20bdsWPXv2tNmGTGZ7csuSJUsMzwfW\\\n",
       "qlWrwn12BUEQcP36dej1euh0OkRHR9t1XtmoKlU+BkIi8hYMhEREZJdatWq5pB1RFCs0rdORrR1u\\\n",
       "3bpl97ORlcGR4PD4449DIpFAIpGgadOmbuwVWcJASETegoGQiIjKtXTpUrtW8bRXRfY7DAwMhE6n\\\n",
       "Q/369e2qX1pa6vS1yqjVauTm5la4HXvl5+cbLd50/vx5dOrUqdKuT0RE3oOBkIiIyjVp0iSXttem\\\n",
       "TZsKnS+RSJCamgpRFPHUU0+5plNW1KpVCwqFAqGhoRAEwbDCqjtNnjzZrOyff/7Bv//+a7H+rVu3\\\n",
       "PLZITU3FEUIi8hYMhEREZJMrRwYBICYmBsnJyS5r7+uvv0ZJSQnatWtn8fjAgQOdbvvQoUO4deuW\\\n",
       "UVllbI/SrVs3i+WtW7fG4MGDUVRUhOvXryMyMtLwrKRSqcQbb7zh9r55CwZCIvIWDIRERGSTROLY\\\n",
       "XxUSiQQrV67EzZs3cf78ebz33nsYM2YMtm3bBr1ej4sXL7q8j0qlEklJSTh69KhReXh4OH755Ren\\\n",
       "250zZ45ZmV6vx4kTJyzWL1s9VBAEPPjgg05f95lnnrF67JdffkFAQADq1q2LjIwMo2PvvPOO09ck\\\n",
       "YwyEROQtGAiJiKhcv//+u131vvjiC+h0OowYMQK1atVC48aN8fLLL2P58uXo3bu32784t2nTBqIo\\\n",
       "QqPRQKvVIisrq0LtvfDCCxbL7777brOyd955B/Xq1TOMqG7evBmHDx+2eL4oioiKioJMJsPYsWPN\\\n",
       "jguCgC1btjjcX25l4ToMhETkLRgIiYioXP369YNGo7G62mVQUBC0Wi0mTJhQyT2zTCaTuSQc3X//\\\n",
       "/TavcfHiRWRmZiIkJMTiHo333nuvxXN9fHyQnp4OnU6H5cuXo1mzZmZ1EhISHN73MTU11aH6ZB0D\\\n",
       "IRF5CwZCIiKyi0wmw9mzZyGKIvR6PUpKSlBUVAS9Xo+8vLwaOzq1aNEii+U6nQ6NGzdGREQE8vLy\\\n",
       "LNaxtACNKIrQ6XRGZefOnbN4/ltvvYV77rnHrn7eunULUVFR5dYr29uwOr8UCgUDGhGRizAQEhGR\\\n",
       "wwRBgFKphJ+fX43/8j116lQEBQU5da6l5y8d/bz27dsHmUxm9fi9994LURQREhLiaPfIBo4QEpG3\\\n",
       "YCAkIqJKp9VqodVqPd0Nu127ds2p80aPHm2x3HRPwfKm2lraUkIikaCoqAh79uxxqm9kGwMhEXkL\\\n",
       "BkIiIqo0kyZNgiAI8PHxgY+PDwRBQGhoKC5fvgxRFD3dPVy5csWwSqggCLhx4wYAwN/fHwEBAQ61\\\n",
       "dc899+Dbb7+1eOzQoUO4cuUKxo4di6ysLHzxxRc225JIJNDpdHjkkUfQuHFj/Pvvv9DpdPDz83Oo\\\n",
       "T2Q/BkIi8hbW56AQERG50NixY7F8+XKz8tzcXMTExJiVC4KAgIAA/P777+jRo0eFrq1SqSCXy21+\\\n",
       "cU9PT0ejRo2MyqKjo5GZmYlatWohLi4OR44csXmd8PBwXL161a69Chs0aIBvvvnGrv4Dt0Phb7/9\\\n",
       "Znd9qhhHgh4DIRFVZxwhJCIip5SUlKC0tNSuuiqVymIYtEUURRQUFKBnz54QBAFSqRRhYWEICwuD\\\n",
       "j48PJBIJlEolzp8/b7UNjUZjqCeRSGxuUh8dHW2xfMeOHRAEAaNGjbLZ3yVLliArK6tSNq4n9+MI\\\n",
       "IRF5CwZCIiJySG5uLiQSCfz8/ODr64tHHnmk3HN8fX0rfF29Xo+cnBzk5ORAq9VCFEWoVCo0bdoU\\\n",
       "AwcOtDjlVKFQGJWvX78e4eHhZvUyMzOtTlkdNGgQJBIJJk2aZLVvTZs2tXmciIioqmIgJCKicomi\\\n",
       "iOzsbISGhiI0NNQoPJW3ab1SqXT784Hr16+HXC43KuvcubPF6968eRNKpdKwgbxer7c6OpiWlmZY\\\n",
       "4dPHx8fitg6CIODs2bM2+3fz5k20adMG3bt3x61bt+y6J/IsjhASkbdgICQiIiM6nQ5xcXGQSCSG\\\n",
       "L7sSiQS1a9dGbm6uQ2316tXL4gqZ7qDVavHII4+gtLQUL7zwAg4fPmy1rkqlglQqNbxM9wUEgB9+\\\n",
       "+MEsKFpabdTSXoOmIiIicPz4cezduxe1atWCRCJBSUmJHXdFnuSuMLh69WqL7aSmprrhLoiIbOOi\\\n",
       "MkREXqKkpAQ6nQ7+/v5Wv8QmJibi77//dtk1d+3a5bK27PH777/Dz8/P7hHJslHCO/3555944IEH\\\n",
       "LNaXSCTQarUYO3YsWrRogVdffbXca1jaiF4URfj5+UGj0djcY9CVMjMzUa9ePajV6kq5XnXnzkVl\\\n",
       "RowYYbG8YcOGVWK1XSLyLgyEREQ1XGZmJiIjI42+aAqCgJYtW2L27NmQy+WYPn06Lly44FT71hZR\\\n",
       "8dQX24pc99atW+Vu8C6VSvH999/b3aatsNC4cWNcuXLF7racdfHiRTRu3Njt16lJKmOVUdM/k0RE\\\n",
       "nsBASERUg4miaBYGy8pPnjyJIUOGVPgaLVu2tFguCAJkMlm12YDex8en3DDoLIlEYnE0smyfQ3dj\\\n",
       "GHScM4EwJSUFcXFxhvLu3bvjyy+/tHmeKIoMg0TkUXyGkIioCsvMzLTrGTVrcnJy3D5SZ2vDdrVa\\\n",
       "jXr16hneS6XScvcDlEgkKCoqgiiKEEURH330kc3rSyQSBAYGwsfHx/HO32HOnDkVOt8Wa4vOtG3b\\\n",
       "1uk2r1y5AqlUColEgrfffttqPUvPR1L5nF1UJiUlxfD66quvLLa9Z88eo+uU4XRRIvIEBkIioios\\\n",
       "IiICcrkcvr6+Tn1ZDA4OrnAfJBLbf1X8999/Vo8JgoCrV68awp1Wq4VKpYJer4dGo0GTJk2M6k+Z\\\n",
       "MgU6nQ5+fn6GsunTp6NNmzYW2x80aBB0Oh3y8/PtWvDGVhC153lAZzVu3Bh9+vQxKz948KDTbcbE\\\n",
       "xECv10MURbzxxhv49NNPLdarLiO0NUVsbKzh9fTTT1us0717d4vlHCkkIk9gICQiqgZKS0vRr18/\\\n",
       "h8+TyWTQ6/VQKBQOn1u2N59Op4Moirj77rst1rt586bDbZf17dy5c4awKIqi1VBz9OhRjBkzxvDe\\\n",
       "x8cHoiji559/NpT5+fkhLy/P4vmHDx+GKIqGACWKIjIyMrBkyRLcvHnT5rQ9nU4HHx8fw0iQUql0\\\n",
       "atR269atZn2oyLNnpv9AMHXqVFy/ft2srjM/e3JuhDA2NhZnzpwxvGxNFwVg9HufiMhTGAiJiKqJ\\\n",
       "ZcuWOXWeIAgoLS1Fo0aN7K5fVFSE2rVrG5UfO3bMYv3K+jK7fPlywwijtZUyg4KC8NdffxmV/fPP\\\n",
       "P+jYsaNZ3Tp16mDSpEmoVauWzeuGh4cbjbKpVCrI5XKng7ArRoGstRETE2OxfO/evRW+prfhPoRE\\\n",
       "5C0YCImIqrCyEanTp08bPYvnjMOHDyMoKAj+/v64deuW0eiEWq1Geno6iouLodfrjaZs3un8+fMV\\\n",
       "6kNFlT2DaEvfvn2NRjY7dOhQoWtam4oaHh5eoXYr6tFHHzUrU6vVFgN6t27dcPPmTfj7+1dG12qE\\\n",
       "ygiEDJREVBUwEBIRVWF6vR4lJSVGKxc665133kFBQQF0Op3Zapo+Pj6IiIiAr6+vzTYaN26M0NBQ\\\n",
       "o7LyApqnlPfsoyvY89yiu6xfv95i+fz58y2W16pVC4WFhW7sUc3izkDYunVri+X/+9//XNF1IiKH\\\n",
       "MBASEXmBtLQ0LFq0CKIoorS0tELTPHNycoy+AJ87d84VXayy6tata/WYJwMhAIsL1bz++use6EnN\\\n",
       "485AePz4caMR+rLXhx9+6Ka7ISKyjoGQiMgLmAaHixcvVqi9sv0LlUolGjRoUKG2qrr333/f6rHy\\\n",
       "nj90t6+//tpiubVnLImIiEwxEBIReYGUlBSj902bNq1Qe6tXr8axY8dQVFRUoXaqgxEjRlh8flMQ\\\n",
       "BAQFBXmgR/+vYcOGFstt7Q1J9uGiMkTkLRgIiYiqqbKNyQVBgFQqRXJyst3nlm1/4CyNRoO4uLhK\\\n",
       "eU6vKrh69SomTpxoeC+RSJCdne3BHtmm0Whw4cIFT3ejWmMgJCJv4R1/kxMR1TBpaWlo1KiRIdTp\\\n",
       "9Xq0b98e+/fvt7sNnU7n8HVVKhWioqLg7++PCRMmOHx+RWi1WuTk5CAjIwMlJSWVvnfb559/bliR\\\n",
       "VafTeXy6KGD7Z9isWbNK7EnNw0BIRN6CgZCIqBqytqdg9+7dLZYfOnTIrMzHx8eha/bo0QNKpRLp\\\n",
       "6enQ6XT4/vvvoVKpHGrDGQcPHoQgCPDx8UFYWBgiIyPh5+eHSZMmVahdvV6Pli1bQiaToU6dOkZ7\\\n",
       "Ddri6OfmLhqNBm3atLF6XK/XOxX66TYGQiLyFgyERETVkLUv+tamgXbq1Albt241fHF19Nm/rVu3\\\n",
       "Ys+ePWbl99xzj0PtOEqj0aBr164Wj5luf+EIURTh4+ODU6dOQafTISsrq9wtN+xt191mz54NpVIJ\\\n",
       "uVyOkydP2qw7efJkt/enpmIgJCJvwUBIRFQNPfzwwxbLH3jgAavn9OnTB3q9HqIoWt143tHrnThx\\\n",
       "wqF2HHXjxg2L5VKp1Op+e/YICwszC89ardbpbSREUURAQAAkEgkEQcDAgQOt1r1+/TpKS0udus7x\\\n",
       "48cxd+5cu0dmly1b5tR1iIjIezAQEhFVYe+88w5++uknsxG93377DSdPnoRCoQBwezRj9OjR+PPP\\\n",
       "Pyu1f+6ePtmgQQOzhWukUmm52yoUFxfj8uXLFo/p9XrcunXL4rF9+/Y51c8RI0YY/YzWr19vtjKp\\\n",
       "VquFv78/6tatC19fX6d+Vj169HCoviiK+Pnnnx2+DnGEkIi8BwMhEVEVNnPmTAwZMgQBAQFo3Lix\\\n",
       "0bGWLVsaNpnX6/X47rvv3NaPH3/80WL577//7rZrltFqtZg+fTqaN2+OXbt2QavV2lzdtHnz5vD3\\\n",
       "90dMTAykUqnZcWthEACioqKc6qOlxXzS0tIQGRmJzMxMHDlyBAqFAsXFxYbjDz30EM6dO2f3NbRa\\\n",
       "LfLz8x3u22OPPWb0fKSjQacqvlQqlcWN3e98VRQDIRF5CwZCIqJq4uLFi5W+smaZ/v37o06dOkZl\\\n",
       "4eHh6N27t9uvLQgCPvroI5w6darcEbLU1FScOXPG8F6v12PatGlGdcpGVS2Jj493qo/r16+3WJ6R\\\n",
       "kYGIiAh07NjR4vOdzZo1Q+3atREREWHYQkQikWD06NFmdevWretU3wBAqVR67PdOdcVASETeQubp\\\n",
       "DhBRxVy6dAl79uzBlStXUFxcjNq1a6Nt27bo2rUrlEqlp7tHLubJL54ZGRnIz8/H77//jocfftjj\\\n",
       "m7Jb0q5dO7OypUuXYuHChYb3tp6fdHYKbNu2bSGRSJza29F0P0NRFLFixQr8+uuvyMzMhFwux4gR\\\n",
       "I5CZmelU34DbixD5+fmhoKDA6Ta8EYMeEXkDBkKiamrlypVYtGgRjhw5goiICERHR8PX1xc5OTm4\\\n",
       "cOEClEolnnjiCbzyyito2LChp7tLLvDOO+94ugsICgrCiBEjPN0Nq+xZbMXadNOKBC4A5U5ldVRh\\\n",
       "YaHDi//YUlpaWmW2zKgOHBn5Y3AkouqMU0aJqqG2bdvik08+wZNPPokrV67gxo0bSEpKwt69e3Hq\\\n",
       "1Cnk5+djw4YN0Ov16NChA9atW+fpLlMFzZs3D6+99lqF2xFFEXPnzjVssl7TWFrdMzAw0Oi9tS07\\\n",
       "ateuXaFrc+ogERFVRxwhJKqG3n33XSQmJlo9rlAo0KtXL/Tq1QvvvPOO1dUWqepzZWjTarVGI0TP\\\n",
       "PvssTpw44fRzc1XRvHnzsGLFCqMy0w3nlyxZYnaetZE4jUaDffv2oUuXLuVOwU5OTq7UkP3bb7+h\\\n",
       "X79+2Lp1q83/H5BzOEJIRN6CgZCoGnLky19YWBjCwsLc2BuqLhYsWGBW1rFjR6f3xKuKQkJCzMru\\\n",
       "XNkTAN566y2zOuHh4Rbba9OmDU6fPo3w8HDcuHHD4qqlwO1Rx+7duzve4XLIZDKzQAvcnvb68MMP\\\n",
       "QxAE3H///RAEoUaO+HoSAyEReQtOGSWqITIzM3Hy5EmcOHHC6EVU5tVXXzUrU6lUeOaZZzzQG/ew\\\n",
       "FNjUarUh9Obl5SErK8usjqVVPfV6PU6dOgVRFJGVlQWZTIa9e/ca1UlPT4efnx9kMplZ8KwIQRBw\\\n",
       "7do1ZGZmWnzu79q1a4YQIggCRo0a5bJr021cZZSIvAUDIVE1l5SUhFatWiEqKgqtW7dGmzZt0LZt\\\n",
       "W8N/icpYm/J44cKFSu6Jsffee8/wpfrBBx+0WEelUuHBBx9E8+bNbW4ef+TIEYvljRo1wo4dO6zu\\\n",
       "M/jss8+alU2cONGsrHv37hAEATKZDIIgICoqCiUlJVb74wxBEKDValG3bl2EhoaaTfmWSCRm9/H1\\\n",
       "11+7tA/EQEhE3oOBkKiae+qpp9CsWTPs378fFy9exKVLl4z+S1QmNzfXbBXMsLAw/P333x7qEXD9\\\n",
       "+nWjkcvNmzdDJpMZNmDX6/WGLVQ2b96MM2fO4N5774UgCPjhhx/M2ktISLB4nczMTDz99NNWp8da\\\n",
       "Coo///yz1X5bW5jGHtu2bTNsnn727FnIZP//9EZAQAB0Op3Rzyk6OhqxsbGG95YCvEwmg1wuNyv3\\\n",
       "9fXF8OHD0atXL5v7L5I5BkIi8hZ8hpComrt48SJ+/vlnNGnSxNNdoSrOx8cHOp0OOp0OKpUKvr6+\\\n",
       "Hv8i26BBA7MynU6H4ODgcp+LGzVqFMaMGYNHHnkEN2/eRFJSEtRqtcW6UqkUM2bMwJIlS3D06FGj\\\n",
       "Y5b2LgSAJk2a4PDhww7cTfkCAgLQu3dvw/umTZtCo9EAuL2AkLWfx5kzZ3Dt2jXUqlXL6gI4paWl\\\n",
       "CAgIQHFxMQIDA5GVlVVjQ+CcOXPcfg0+Q0hE3oIjhETVXJ8+fXD8+HFPd4OqEalUCj8/P6tfYvV6\\\n",
       "PTZt2mTxWbs7ZWZmIigoCBKJBIIgQCqVIiIiAl999RXy8vKg1WptbtS+fft2myNt9iySotfrsWHD\\\n",
       "Buzdu9fm1M3jx4/j6aefRnJyMi5evGgIwx07dkRSUpLFc3bu3Fnu9R3VsmVLq8fKCxX16tWzuS+h\\\n",
       "IAgoKiqCKIrIz8+vsWGQiIhciyOERNXcV199hTFjxuDkyZNo1aqV2QIU/fv391DPqLoKDg5GYWEh\\\n",
       "gNvPzO3evduszksvvYQPP/zQqEyv1yMzMxPjx4/H+PHjjY5JpVJMmTIF7733HmQyGZYtW2bxuT13\\\n",
       "GDp0KFq0aGF4HxMTY9cCML6+vi7vy6VLl1zeJrkHRwiJyFswEBJVcwcOHMC+ffvw559/mh0TBKFC\\\n",
       "zzqR9/nf//5nCIMAsGfPHigUCqhUKkNZXFwcUlJSHGpXp9Nh0aJFWLRokcv6ao+zZ8+iadOmTp8v\\\n",
       "iiImT55sce/CO8XGxuLMmTOGc+RyucXtInJycpzuC1UuBkIi8hacMkpUzT333HMYOXIkbty4Ab1e\\\n",
       "b/RiGKQ7XblyBfPmzUNeXp7VOosXLzYrU6vV6N+/P7RaLY4dO+ZwGPSUX3/9tUJhsMzixYvRt29f\\\n",
       "q8dDQ0MNYRC4HQ6sTV+1tt8hVT1cVIaIvAUDIVE1d/PmTbzwwguIiIjwdFeoChswYAAaNWqE119/\\\n",
       "HSEhISgqKrJYz9qiLH/88QdWrVplNhW0qho7diwGDBjgsvZ+/PFHi9t2SKVSi6N+MpkMdevWNSs/\\\n",
       "duyYy/pE7sVASETegoGQqJobNGgQduzY4eluUBVWtvDKnQICAhxqQxAE3HPPPXjqqadc2TW3iIyM\\\n",
       "xDfffOPweaWlpbh27RpOnjyJ//77D1evXkVBQQEKCgqQnZ2NgQMHGj2jW69ePYvTQstcu3bNaEuJ\\\n",
       "7t27e/QfbvR6vc3RYTLGQEhE3oLPEBJVc82aNcOMGTOwd+9exMfHmy0qM3XqVA/1jFyhbAXPqKgo\\\n",
       "/PXXXzZXqbRm8+bNFst///13PPzww2bXszTV+N1330WTJk3QuHFjTJ8+3ep+fpXlzk3st2/fDpVK\\\n",
       "BUEQMG7cOCxbtsyhtn744QeMGTPG6oqogiAgJCQEDz74INatW4cOHTogKirKbE9HSzQaDYqLiyGX\\\n",
       "y43CYWXS6XSQy+WG+7Nn9VYiIvIeDIRE1dxXX32FgIAA7Nq1C7t27TI6JggCA2E1V7aBeVpaGlq1\\\n",
       "agUAaN26NY4dO2b3qMTHH39ssbx///5mIchaWHjxxRcB3P49tW/fPrRv397eW3CL4OBgbNiwocIh\\\n",
       "a8uWLRg1apTNOqIo4tatW9i0aRO+/fZbixvA22Jrq4jK4OfnZ3P7D7KMi8oQkbfglFGiau7SpUtW\\\n",
       "XxcvXnTJNRYvXoxGjRpBqVSic+fO5W7WvW7dOsTFxUGpVCI+Ph6bNm0yOi6KImbNmoWoqCj4+voi\\\n",
       "ISEB586dc6pvZYHJ2qts5Ki6viw5ceIEJBIJevToYddoj7VFYERRxLvvvmt4X1paajE4lI3ElWnb\\\n",
       "tm2513QFWyNw+fn5do3Q2aLX6x16zjAvL89sBL46sPZcKNlWE6aM7t27t8r2jYiqDgZCohrqxo0b\\\n",
       "eP/99yvcztq1azF9+nTMnj0bycnJuPvuu5GYmIjMzEyL9ffv34/hw4dj3LhxOHr0KAYMGIABAwbg\\\n",
       "5MmThjrvv/8+PvnkEyxduhSHDh2Cv78/EhMTPT4NsbrZs2cPJBIJ/P39sWfPHqv10tPTrR6bMWMG\\\n",
       "AgMD0aFDB6v77i1dutTovbNfMCdOnIjXXnvNrvOXLVsGrVaLgoICi8FPr9cjOTnZoeubhue0tDS7\\\n",
       "9iMsU5W/+JPr1YRAeO+993q6C0RUDTAQElVzTz31lMXXyJEj8dZbb1W4/Y8//hjjx4/H2LFj0aJF\\\n",
       "CyxduhR+fn5WF+1YtGgRHnjgAbz00kto3rw53nrrLbRr1w6fffYZgNtfyhcuXIiZM2fi0UcfRevW\\\n",
       "rfH999/j+vXrWL9+fYX7642Ki4vRo0cPCIJgNg309OnTNhc+AYDCwkIkJSVZPW7pfKlU6nA/e/To\\\n",
       "gWeeeQZhYWE26wmCgPHjx0MQBAQEBFgd4eratWu517x16xaCg4MhkUigUCgwcuRI5OfnQ61W46OP\\\n",
       "PnKo/88995xD9auKTp06eboL1VJNCIRlqnr/iMizGAiJqrlbt24ZvbKzs3H48GHs3LkTH374YYXa\\\n",
       "VqvVSEpKQkJCgqFMIpEgISEBBw4csHjOgQMHjOoDQGJioqH+pUuXkJ6eblQnODgYnTt3ttom2W/j\\\n",
       "xo2QSqVQKpXw8/NDixYtKtzm0KFDzcr69OljVubn54e33noL48aNs/gFdM6cOSgtLbXY3p1Mg55U\\\n",
       "KkW/fv3M6mm1WqSmplptJzU1FbVq1UJ+fj5EUYRGo8HKlSsRExODgQMHWtxz0ZoBAwZg4cKFdtev\\\n",
       "Sg4dOuTpLlRLNSkQAub3Q0RUhoGQqJr79ddfjV6//fYbTp48iblz51Z4xC07Oxs6nc5sqfyIiAir\\\n",
       "0xDT09Nt1i/7ryNtAoBKpUJ+fr7Ri6xTqVRWN0d31PHjx83K7nz2EAAaN26M69ev4/XXX8enn35q\\\n",
       "cSGVq1evQq1WY9iwYRb39Cvz6aefmpVZC2PPPvus1Xbuu+8+i+U5OTn4+++/yx05LaNQKLBmzRq7\\\n",
       "6lZV5YVwqrnKnqfu0KGDp7tCRFUUAyFRDTV8+HDs3LnT091wmfnz5yM4ONjwql+/vqe75DW0Wi0u\\\n",
       "X75sVNa2bVvk5eXhxo0bEEUR58+fR3BwMARBgK+vr8XFWkpLSxEVFYUePXqgsLAQ69evN1uxMz4+\\\n",
       "Hu3atTM7t0mTJhb79scff1gsF0XR5qJK9oZBANi9ezcUCoVddUVRhFqtRlZWliEAVwVr165FXl4e\\\n",
       "6tWr5+muVCvVcXTQWp8WLFhgtOAWEVEZBkKiGur48eMVXg0yPDwcUqkUGRkZRuUZGRmIjIy0eE5k\\\n",
       "ZKTN+mX/daRN4PbiJ3l5eYbX1atXHb4fcl5MTIzZl8igoCCrPzNLo71SqRS1atUy/PrRRx+FSqUy\\\n",
       "TOfU6/U4ceKE1T4EBQVZLLc0emhrkR1H2bMC7unTp6FUKg3PKtapUwcNGjSAQqGAXC6HRqNxWX+c\\\n",
       "FRQUxD83DqgJU0bvXJCpe/fuVbafRORZDIRE1dz06dPNXk888QRGjRqF+vXrG5U7Si6Xo3379ti2\\\n",
       "bZuhTK/XY9u2bVYX9OjatatRfeD2Xm9l9WNiYhAZGWlUJz8/H4cOHbK5SIhCoUBQUJDRiyrXXXfd\\\n",
       "ZXddS6PTzZs3t/qFVCaTlftldeLEiRbLX3jhBeh0OqOyvn372tdRO4waNcrmPn5Xr15FixYtoFKp\\\n",
       "LB7XaDSQy+UOrWhKnledA2HZ/pyiKFa5vhFR1cON6YmquaNHj1os79ixIzIzMw3bQzj7pWD69OkY\\\n",
       "M2YMOnTogE6dOmHhwoUoKirC2LFjAQCjR49G3bp1MX/+fADA888/j549e+Kjjz5Cv379sGbNGhw5\\\n",
       "cgTLli0z9GPatGl4++230bRpU8TExOCNN95AdHS0Q3vCUeW7fPkyrl69Wu503a+//tosoAHAvHnz\\\n",
       "KnT9Nm3aWD0ml8vRs2dPfPvttxg0aJDVcOYMURQRHR1t9RnXxo0b29WOv78/SkpKbD4/SVWHI0Gv\\\n",
       "qoUurVZr9vtSEAROFSUiixgIiaq5HTt2uLX9YcOGISsrC7NmzUJ6ejratGmDzZs3GxaFSU1NNZqW\\\n",
       "dM8992DVqlWYOXMmXnvtNTRt2hTr169Hq1atDHVefvllFBUVYcKECcjNzcW9996LzZs3O/VFubwv\\\n",
       "YgqFolp/CapqXzQbNmyIkpISi8/U6fV6PP/884YtRky1b9++Qtf+/vvvrR7T6/XYsWMHGjVqVKFr\\\n",
       "WJORkYGbN2+abZmh0+kcmg7q6+sLtVpdLTe49zbVORACMHuGtjr/f5CI3IuBkIjKNWXKFEyZMsXi\\\n",
       "MUtTA4cMGYIhQ4ZYbU8QBMydOxdz5851VRdrLI1Gg0uXLiEuLs7mtMXKIooifH190bhxY9SpUweX\\\n",
       "Ll1Cbm4u1Gq1xVHBO12+fNnmc6K2aLVabNmyxalzXaVhw4YoLCw0Krtw4YLD7cjlcuh0OqN/SKGq\\\n",
       "p7oGwjuniYaFheHmzZtVqn9EVPXwbyOiauiBBx7AwYMHy61XUFCA9957z6H91qhqkclkaNq0KbRa\\\n",
       "bZX5Ule2quj+/ftx48YNlJSUlBsGgdu/b8tr9/HHH4dMJoNUKkV4eDgWLVqEDRs2ICoqyq5ruFNR\\\n",
       "UZFZKLe1CI4tMpmMIzbkNmUriWZnZxv9/3/VqlUe7BURVVUcISSqhoYMGYLBgwcjODgYjzzyCDp0\\\n",
       "6IDo6GgolUrcunULp06dwt69e7Fp0yb069cPH3zwgae7TBUkCAL2799vc+Gdqi4vLw9Lliyxundg\\\n",
       "eHg4cnJyDO9v3ryJadOmVVLv7PPSSy/ho48+Mrxv2bKlU+2IoggfHx+Htr+gylVdRwhNPfvsszb3\\\n",
       "6yQiYiAkqobGjRuHkSNHYt26dVi7di2WLVuGvLw8ALe/mLRo0QKJiYn4559/0Lx5cw/3llylS5cu\\\n",
       "nu5ChU2ePBnh4eFmG6UvWbLEKAxWVQsWLDAKhM2aNXO6LZ1Oh9jYWKSkpLiia+RiNSUQEhGVh4GQ\\\n",
       "qJpSKBQYOXIkRo4cCeD26EtJSQnCwsK4YEUNVq9ePVy7ds2s3MfHB1KpFKWlpVbPlclkVWJEatiw\\\n",
       "YVi/fj1WrlwJQRCQl5eHqVOnerpbdhFF0WhxGalUWqH2zp49C71ez+cJqyAGQiLyFvwbiKiGCA4O\\\n",
       "RmRkJMNgDbdy5Uqzsg8++ABqtRolJSW4efOmYQ+yMn5+fjh37hzy8/Px5JNPmp0fExNT4RVAHbV6\\\n",
       "9WrI5XLEx8cjIiLC488H3snf3x8nTpzAL7/8YvG46cI4crm8Qtf777//KnQ+uUd13oeQiMgRDIRE\\\n",
       "RFXY+PHjsWLFCuTk5EClUiEyMtKw5QcABAQEGK0AW6tWLahUKqSnp6OgoACiKKKoqAhNmjSBr6+v\\\n",
       "0Uhc2ZYcFy9exJEjRyp9kROtVouTJ0+6dM9Ae8nlcov/ePL333+jsLAQ8fHxGDhwoMWVXcsW+Bk+\\\n",
       "fDjuu+8+qNXqCvXlscceq9D5ZfLy8vD4449j6tSpXLDGBdwdCOVyOYMlEVUJnDJKRFSFffXVV/jq\\\n",
       "q68AAEFBQZgyZQqaNGmCrKws6PV6FBYWom7dutiwYQPatWsHiUQCqVRqFBrv9PTTT9u8Xk3fvFou\\\n",
       "l6OwsNAQBnU6HZ5++mls2LAB8+bNw/33329UXxAEFBQUIDAw0KytNWvWuKRP58+ft7uuXq9Ht27d\\\n",
       "8M8//wAAAgMD0ahRI1y5cgW3bt0y1CstLcWyZctc0j9yvXr16jm0fyURkTtxhJCIqJrIz8/H8uXL\\\n",
       "kZmZaTRylZOTg+7du8Pf3x9+fn4YPHiwxfNFUURycrLhvUqlMto24dq1a1U+DMpkMiQmJqJXr14O\\\n",
       "P3cnCAJKSkqMRgalUim+/fZb5OTkYOLEiRbPCwgIcNkoniV6vR4HDhwot15WVhZkMhkOHjwInU4H\\\n",
       "nU6H3NxcHDt2zCgMAsCPP/5otR1HR76q4kulUhm2VrD2qih3jhCmpaUBgFv6TUTkKAZCIqJqJDMz\\\n",
       "E1evXrV6XBRFbNy4ETdu3DA7ZumZuLvvvhv+/v6oVasW6tev71SfpFIplEqlU+c6QhAEpKSkYPPm\\\n",
       "zdixYwe0Wi3++OMPu5/h27Nnj9OLt6xbt86tC79069YNCQkJ+Pvvv3H58mUUFhZCp9NBFEWUlpai\\\n",
       "S5cuqFOnjt2BgVMPK64yniHkdFEiqgoYCImquTFjxmD37t2e7gZVEq1Wa3Ml0TKNGjUyeq/X662O\\\n",
       "chUXF5uNMNlr2LBhKC4uRm5uLmbNmuXW0DR69GjcddddhveCIOChhx4yjBbp9XqUlJQgKysLV65c\\\n",
       "wYYNG9CpUyeEhIRg/Pjx6NatW4WuX962GBX5Qi+KIrZt24bExETExMQgMDAQMpkMEokEvr6+OHTo\\\n",
       "kNNt36moqMgl7XgDZwJhSkoK4uLiDK/x48c7fE0iosrGQEhUzeXl5SEhIQFNmzbFvHnzDFORyLup\\\n",
       "1Wr4+/vj6NGj2Lhxo1tWn42Pj8eaNWsgl8uhUCgwZ84cnDx5EvHx8QgPD0dERAT8/f3tbk8ikWDS\\\n",
       "pElISUnB9u3b0bZtW/j4+EAul+O5557D8uXLbZ4vCAKUSiXCw8PRoEED9O/fH4cOHUJWVhY+//zz\\\n",
       "Ct7t7ZV8/fz8zMqlUilSUlKg1Wqh1+uhUqmwd+9eBAUFVfiazsrPzzcbTUxJSfFon6obZ0cIU1JS\\\n",
       "DK+y53+t4VRRIqoKuKgMUTW3fv16ZGVlYcWKFfjuu+8we/ZsJCQkYNy4cXj00Ue5DYUXKy4uRocO\\\n",
       "Hdz2hXP9+vVmZXFxcdi1axdUKhUCAgKg1Wrx7bff4pVXXrG5iIaPjw/+++8/NG3aFMDtDd+TkpKQ\\\n",
       "mZmJ3NxcNGnSxOl+mm7DUREffvghnn32WaOyVq1aoWnTpoZQIJfL0a1bN6SnpyMkJKTcVUjdsZCP\\\n",
       "Xq9HUVERAgICDGWbNm2yuGoqWebINM4768XGxhp+3b17d5f3i4jI1ThCSFQD1K5dG9OnT8fx48dx\\\n",
       "6NAhNGnSBKNGjUJ0dDReeOEFnDt3ztNdJA/R6/UVChs+Pj4WA1W3bt2Mpm+WEQQBoaGhiIyMREBA\\\n",
       "AEJCQvDCCy9ArVYjPz/fsKH7ne1nZGRArVYbwuCdbUVERCA2NrbCG8Dbq+yZPWsmTZpkdA9yuRzJ\\\n",
       "yckWg4Ovry9UKhV8fX0tttWyZUuoVCqoVCq3LFpTp04dowB4zz33uHVKL90Og2fOnDG8vvzyS093\\\n",
       "iYioXPybgagGuXHjBrZs2YItW7ZAKpXioYcewr///osWLVpgwYIFnu4eVSNyuRxarRZqtRoajQZ6\\\n",
       "vR7Lli3D3Xffja1bt2Lv3r0OtxkYGIjs7GzDtEq9Xg+1Wo06deq44Q6M2bPEv1qthlQqha+vLwRB\\\n",
       "wK+//mqxXnZ2NlauXIlZs2ahuLi43JBVXFxsFhjffPNNnDx50rAf4rp164xWfHWFkpISTJ482fC+\\\n",
       "c+fOTj8r6o0qe1EZIiJPYSAkquY0Gg1+/vlnPPzww2jYsCHWrVuHadOm4fr16/juu++wdetW/Pjj\\\n",
       "j5g7d66nu0rVxOTJk6FSqYxG5QRBwPjx43Hs2DH06dOnQu0LgmDYlLsy6PV63HfffZg6darNepGR\\\n",
       "kUajqYMGDbJad8SIEZgzZ47dI5darRaxsbEIDg5GamoqZs+ebVYnPj4eoihiwoQJLvtsTJ+75DOE\\\n",
       "9nNnILQ2as9nCYnIExgIiaq5qKgojB8/Hg0bNsThw4dx5MgRTJw40eiL33333YeQkBDPdZKqtOHD\\\n",
       "hxstbvHZZ595uksulZiYiH379uHTTz+1GeByc3PNylwVzCQSCc6cOYPc3Nxyt/f44osvDFN99Xo9\\\n",
       "3nrrLaevW5FnL8n+UOgM7kFIRFUFAyFRNbdgwQJcv34dixcvRps2bSzWCQkJwaVLlyq3Y1QtCIKA\\\n",
       "VatWebobbnXnlg16vR4tW7a0WK9Tp04Wyzdv3mxWlpubi+LiYtd00AZBEDBz5kynR/iPHDni4h55\\\n",
       "j8qYMkpEVBUwEBJVc6NGjaqUTcGpZvKGRUaioqKM3p86dcriaMzBgwctrsr7+++/G36tVqsREhKC\\\n",
       "0NBQ+Pv7IyAgoFJW7nz99dcdPmf69OlQKBRm5ZZGpqrbS6FQuD2gMRASkbeo+d8EiIiqsQcffNDi\\\n",
       "3neuotPpKm2qmjuuk5mZiZ9++slmKLO0qfvp06ct1lWr1Zg1a5bhC37Tpk3x0UcfAbjd/x49eiAv\\\n",
       "L89Qv6ioCFKpFElJSRW5jXJJJBKboaPseNlejBcuXDD0m5zDQEhE3oKBkIioCtu0aROKioqQmprq\\\n",
       "tmt8+umnNo9fvXoVcrkcMpkMu3btslrv/PnzePLJJ7F582ZotVoAtwNWhw4dIAiCIbQ0b97ccBy4\\\n",
       "veBKq1atDF+sJRIJTp06VW6/n3/+eURERGDIkCGQSqWoW7euxXohISFmz9DamkI9Z84cwzN8Z8+e\\\n",
       "NYyyCYKA9PR0i+d06NABkZGR5fa5Iixt/7FgwQKIogidTge9Xg+9Xo+SkhKLW4IQERFZwkBIRFQN\\\n",
       "1K9fH+fPn3dL29OmTbN6TK/Xo0GDBtBoNNDpdOjVq5fF0bBatWqhadOm+O677/Dggw/Cx8cHgiBA\\\n",
       "oVCY1T9z5gx8fHwgkUggkUgMm9KXEUURLVu2RFFRkc1+f/LJJ0bvr1+/bnV7iVu3bhlGWgVBQMeO\\\n",
       "HW22bc2KFSusHsvIyIAgCBgxYgR0Op1T7dvywgsvGH4tkUhQXFxs82dHFcMRQiLyFgyERETVROPG\\\n",
       "jREcHOzydkVRNJoGeSdLz66ZLr6Smprq1P525a2saLqJvem5ltgKYoWFhVi4cCHmzJmD2rVr29/R\\\n",
       "O3Tv3r3c5y5Xr14NmUxmFhgkEgliYmLKDbrWvPfeezh58iROnz4NnU5ndcN7cg0GQiLyFgyERETV\\\n",
       "iLtWi120aJHF8sWLF5uVmT6v17t3b7f0SaVSOVRfIpHYXGBJEAQ8//zzmDlzZoW+wDu7cqcoirh8\\\n",
       "+TICAgKQmJjoVBstW7ZEXFycU+eSYxgIichbMBASEVUj7tpP8uuvv7ZYXlhYWO651p6rc4X8/HyL\\\n",
       "5YIgoFatWob3Dz/8MEpKSuxqs6Jf3tu2bVuh8wHg77//xrZt2yrcji1FRUXIyMhAcXGx4ZlIsh8D\\\n",
       "IRF5CwZCIqJqxF1f6q9du+b09SxtbQAAUqkUx48fx/Hjxy2ulBoQEIBPP/0U06dPtzoN01bYTEpK\\\n",
       "wuLFi1FYWIiNGzdCLpeX21dXqeh0TaVSiebNm7uoN8aGDh0KQRAQEBCAyMhI+Pv7QyqVlrtSKRlj\\\n",
       "ICQib2G+ZBkREVVZ9o6COcrStg3WrmX65dfaNM358+ejdevWAG4Hu7p166KgoAAA0LBhQ5w6dcoQ\\\n",
       "FJ977jk0btzYrB+2gld0dDSeeeYZSKVSq3XcpSLBXKFQYNGiRWb7I7rCsWPHsG7dOpe3S0RENRdH\\\n",
       "CImIqpFBgwa5re033njD6L216ammI3GWRv8EQcBLL71keB8YGIj8/HzDQjKXL182Oq9Ro0bQ6XQo\\\n",
       "KirC1KlTMWLECBw/fhxRUVGGbRVu3ryJXbt2YePGjUhLS4OPj49HwiAAlJaWOnXesWPHUFpaigkT\\\n",
       "Jrh8VOnLL790yXRWuo0jhETkLThCSERUhZWNmKnVavz000/YunWr26719ttv44svvkDfvn2xZs0a\\\n",
       "qyt2mi5qkpmZaVanffv2TvXBz8/PbIGbpKQkdOrUyWj00M/Pz67nG+0hiiIaNGiAtLQ0+Pr6Iicn\\\n",
       "x+o0WACIjY116jo9evTA3Xff7fB5hw4dwjfffINFixZZHY29cOECJkyY4FS/yDJHgh4DIRFVZwyE\\\n",
       "RERVmOkImLu/eGZlZWHlypU266xatcrofdk00Du5cn+8F154wWwqaXFxMVQqlc1VRe21bt06wzOU\\\n",
       "xcXFUCqVKC0ttRgKd+7cibNnzzp1nREjRjh8TlxcHFJSUgAAy5Ytw9y5c81GcouLi9GkSROn+kTW\\\n",
       "MRASkbfglFEiomokPDwcu3btwj333OOxPrRo0cLovaXn6bp06eKy66Wmplost7Z3oqPGjRtnVhYa\\\n",
       "GmqxbkW22JgxY4ZD9V9++WVDGCwza9YsREZGQqPRQBRFrFq1Cv7+/k73iazjlFEi8hYMhERE1cjh\\\n",
       "w4fRo0cP7Nu3Dw8//HClXz8tLc3ovbVppQ0aNHDZNVu2bGmx3FVfwi1NPbV3QR0A8PHxwaZNm3D2\\\n",
       "7FlERERYvc6tW7fsXhTonXfewQcffGDxWEZGBuRyOSQSCZ544gm72iPHMRASkbdgICQiqkbuDFo/\\\n",
       "/fST3ec1a9YMJ06cQF5eHq5fv46goCCHr/3+++8jOjraqMzSF2FBEODj4+Nw+9Z89dVXFssDAwOt\\\n",
       "niOKIoKCgiAIglPTKa31Py0tzbBFRmBgIIqKiqBWq/Hggw+iadOmSE9PtxpgAcDf3x9ardbiMb1e\\\n",
       "j02bNkEmk2HmzJkO95mIiMgZDIRERNXIihUrDL8+fvx4ufVLSkogiiJSUlIQHx+PoKAgREVFIS8v\\\n",
       "D6Io2gwvd1IqlUarhpYxHaVq06aNxS0sKiIqKsrqPoWWaDQaSCQSw7ONFy5cQHBwsMW6rVq1slhu\\\n",
       "bSQvMjISOp0OoigiPz/f4gqrycnJVvsmiiJ8fHwsjjBJpVL069fP6qgrVS6OEBKRt2AgJCKqRp58\\\n",
       "8kmcOnUK6enp6Nq1q826f/zxR7mLrpw8edLmSFsZWyN+P/zwA0pKSqDVanH06FGz4126dIFUKq3Q\\\n",
       "c49PPvmkWdn06dMt1rW0d2F+fr5Z0MrNzcV///1nVlehUFRoO4u5c+c6fa6j6tevj9OnTyM3Nxcp\\\n",
       "KSkYNmyYx7biqGkYCInIWzAQEhFVMy1btkRUVFS5I3EPPfSQXe3l5+eXO8XT0kqid1IqlRaDyJ49\\\n",
       "e3Do0CHo9XocOHDAbA9De40ePdqsbOnSpdizZ4/hvU6nQ1BQkNURtjuP7du3z+rCMRcvXnSqjwBw\\\n",
       "8OBBvPPOO06f74gTJ04gNTUVcXFxCA4ORrNmzbBmzRpotVqcPHmyUvpQkzEQEpG3YCAkIiK7tnDo\\\n",
       "27evw+2++eabRu81Gg0++eQTh9uZPXu2xfIePXoYvpDLZDKbwbW4uBgymQyCIODee++1Ws/0OUl7\\\n",
       "qFQqyOXyckdtXcXPzw/x8fFWj7ds2RKDBw+ulL7UVAyEROQtGAiJiAiCIKCkpAS1atWyWmfLli24\\\n",
       "7777HGrX0vTJV155xaE2RFHErl27HDrHWbY2pLemb9++UCqV0Gg0buiRZaZ7QVryzTffVEJPajaG\\\n",
       "QSLyBgyERERkkJGRYfML7s6dOw2riPr5+aFhw4a4ceOG1frdunUza8/SQiy2ODvN1BnWpuFa2msR\\\n",
       "ACIiIrBlyxZ3dsmiBx54oNw65Y34EhERAQyEREQ1lrXtDWwRBMGuFT21Wi1KSkqQmppa7rYOWq0W\\\n",
       "MpnM0P6VK1fs7o9CoXDqPpyl0Wjw2GOPoaSkBAUFBQgICDB8JmVB+MUXX8RPP/2EkJAQZGZmVlrf\\\n",
       "7mTPSKZara6EntRcnDJKRN6CgZCIqIaaOnWqQ/VzcnJQt25dh7c9sDZ6VkYikUCj0UCn00Gv1yMg\\\n",
       "IMCudsPDwz0San7++Wf4+fkhKCgIRUVFRse0Wi0++ugjDB06FHl5eZXeNwCYN2+eXfUuXbrk5p7U\\\n",
       "bAyEROQtGAiJiGqozz//3K5677zzDgRBQFhYGDIyMhy+Tmpqql31HNlLsKCgADdv3nSoHz4+Pvjp\\\n",
       "p59sLrbiKj4+PggLC6vUIKBUKvHNN99gxowZdtW39+dPljEQEpG3YCAkIqrB3n33XZvH+/Tpg5kz\\\n",
       "ZzrVtq+vL9RqNcLDw50635Zu3bo5VL927drIzs7G4MGDceLECcTFxVmtW94WG+WJi4tDcXExsrOz\\\n",
       "odfrUVRUhJUrV+Lll1/Ghg0bkJqaiv379yMoKKhC1zHVpUsXjBo1yu763333nUuv720YCInIWzAQ\\\n",
       "EhHVYDNmzLC5UMr27dudajc5ORnFxcUVDlfWnD592qH6ixcvNgpgp0+fNvuSLggCtFot1Go1SkpK\\\n",
       "nOrXmTNncPr0aaM9F/38/DBixAi899576N+/P+rXr4+uXbsiLy8PLVq0cOo6luzevRv79u2zq64o\\\n",
       "iiguLnbZtb0RAyEReQsGQiKiGs7aKp3OPmN29epVtG3b1uHzRFEs93lDANi4caPRQjIxMTHYtm0b\\\n",
       "/ve//1k9x9JCNXfuSejj4wO9Xm8IckqlEvXr17er34IgYNWqVRBFEbGxsXadU8aVG8Tr9Xr06tUL\\\n",
       "w4YNK7euvc9pknUMhETkLRgIiYhqOJ1OBx8fH7Mw1qNHD4fbqlOnDurVq2f1+LVr1zBp0iTExsYi\\\n",
       "KCjIsBF82UqdZat1SiQSREdHY8OGDcjLy0N+fj5+/fVX+Pr6on///gBufyE/d+4cLl68iN69e+PD\\\n",
       "Dz/Epk2bLF739ddfR3Z2tlGZv78/0tPTsWnTJouL05T3jF1kZKRhIZzhw4eX99FYJAgC7r//fqfO\\\n",
       "tebHH3+EIAh4+OGHkZOTA51OB51Oh6KiIsyZMwcSicTm6KCjQacqvlQqleEfGKy9iIjIPjJPd4CI\\\n",
       "iNxPq9VCIpFg7ty5eP3117FhwwakpaU53M6rr75qsXzgwIFYv3693e2IoogbN25gwIABVuvIZDKz\\\n",
       "LS2shVi1Wo2IiAhotVqj0Zo6dergwQcftHhOmzZtzMoEQcCmTZvs2ufPXn/++ScUCoXDq7eW548/\\\n",
       "/kBYWJhL26T/58jIH0cIiag64wghEZEXmTVrFqRSKQYNGuTwuT4+Phg6dKhR2d69eyEIgkNh0F6W\\\n",
       "9h+0tUiOXq+HTCbDvn37UFxcjBs3buDEiRMoLS21WP/8+fNQKBSQSqVo27YtSktLodfrXRoGAUAq\\\n",
       "lSI7O9ttz1uSe3DKKBF5C44QEhGRmZCQEPTt2xehoaHIy8tD69at8fTTTxtWFNXpdGjfvj2OHz/u\\\n",
       "tj6IoogpU6bgs88+AwD8+++/ePvtt22eo9frce+99xqVCYKAhIQE/Pjjj/D390dmZibGjx+PgwcP\\\n",
       "ol27dti+fTuUSqXb7gO4/XkWFxcjKCjI6QVtqHJxhJCIvAUDIRERmenXrx9WrFhh9Yvu1q1b3RoG\\\n",
       "yyxevNjwrJ+11VLLI4oitmzZgtDQULNj2dnZbg+DZWQyGW7dulVp16OKYSAkIm/BKaNERNWQu7+A\\\n",
       "5uXl2bzGkSNH3Hr9O+n1eqfDYHnOnz/vlnatUSgUFoNpRQmCgHXr1kGj0UCn0+HWrVto3ry5y6/j\\\n",
       "TThllIi8BQMhEVE15O5VFA8dOmTzuKMbx1dVoiji5s2bLm1Tr9ejadOmCAgIwLZt28yO21pIxxm9\\\n",
       "e/eGXq/HY489BplMBolEgpCQEJw6dQparRb+/v4uvR4REdUsnDJKRERmcnJybB5v165dJfXE/erU\\\n",
       "qePSFUCDgoJQVFQEAEhISEBMTAwuXrxoOG4pJDpDEARcvnwZDRo0sFpHKpWisLAQKSkpiI+Ph0aj\\\n",
       "ccm1vQGnjBKRt+AIIRERmSkvICkUikrqifvp9XpIJBJs3LgRN27cwOOPP27YL/GHH35wuL2yMFjm\\\n",
       "0qVL8Pf3R1ZWFjZt2oTU1FSn+yqXy/Huu+8aVkS1FQbvFBsbC7Vazf35HMApo0TkLThCSEREFmVk\\\n",
       "ZCAiIsLisR07dlRyb9xLFEX079/frHzUqFF44oknHPrCL5PJzLbMKC4uRp06dSrUx7y8PAQFBVWo\\\n",
       "DbIfRwiJyFtwhJCIiCyKjIy0OMVw3rx5eOihhwzvBUFAnz59kJGRAZVKhZycHLz00ks1ZjXNf//9\\\n",
       "16H6Z86ccXkf/vvvP5eFQVEUq/1LoVC4fcSOI4RE5C0YCInIIo1Gg1deeQXx8fHw9/dHdHQ0Ro8e\\\n",
       "jevXr5d77uLFi9GoUSMolUp07twZhw8fNjpeWlqKyZMnIywsDAEBARg8eDAyMjLcdSvV2i+//IKe\\\n",
       "PXt67PpyuRxyuRzBwcGQSqUQBAGvv/660dTDtm3bYuvWrahTpw7kcjlCQ0Px/vvvo6SkxOyLvF6v\\\n",
       "R25uLu6//36P3ZOjRo8e7VD9xo0bQy6Xu7QPLVq0cGl7VD4GQiLyFgyERGRRcXExkpOT8cYbbyA5\\\n",
       "ORm//PILUlJSLE6ru9PatWsxffp0zJ49G8nJybj77ruRmJiIzMxMQ50XXngBGzduxLp167Br1y5c\\\n",
       "v34dgwYNcvctVUsDBw7Ezp07IYoifH19PdIHjUaD/Px8q1s/mG4Eb4sgCAgODsbff/8NlUrlqi66\\\n",
       "1cmTJx0+p7Cw0KV9MJ2CSkRE5CoMhERkUXBwMLZs2YKhQ4ciNjYWXbp0wWeffYakpCSbi2J8/PHH\\\n",
       "GD9+PMaOHYsWLVpg6dKl8PPzwzfffAPg9nNQX3/9NT7++GP07t0b7du3x7fffov9+/fj4MGDlXV7\\\n",
       "1dKJEyc83QWLrly54tR5crkcYWFhLu6N6zmzAqmPj49L++CKlUnLRmnJPhwhJCJvwUBIRHYr26w8\\\n",
       "JCTE4nG1Wo2kpCQkJCQYyiQSCRISEnDgwAEAQFJSEjQajVGduLg4NGjQwFCHLGvSpAnGjx/v6W6Y\\\n",
       "2bRpk9Pn3rhxw+lzpVIpXnzxRUyaNAkSiXv/OnNmuwZXrsT6wAMPoH///k4Fuvfeew+CIEAikbj9\\\n",
       "c6pJGAiJyFvwbwYisktpaSleeeUVDB8+3OriFtnZ2dDpdGYrU0ZERCA9PR0AkJ6eDrlcbhYq76xj\\\n",
       "iUqlQn5+vtHLGy1btqzcTeMrm0ajQatWrZw618fHx+po2tq1ayGKIjQajVmQ6dChA7RaLT744AMs\\\n",
       "WbIEOp0Ooiha/ceKigoMDHT4HFfv+bdx40bDdhj/+9//7DrH398fr776qkv74U0YBonIGzAQEhEA\\\n",
       "YOXKlQgICDC89uzZYzim0WgwdOhQiKKIzz//3CP9mz9/PoKDgw2v+vXre6QfVUGnTp1w6tSpKvVF\\\n",
       "9L///sPevXudOnfixIkWyx977DEAt7dx+PXXX42OWdsfMCsry6k+lEelUjk0dfTEiRNWn7l0hY8/\\\n",
       "/rjcfxi4du0aiouL3daHmq4yRwgZLonIkxgIiQgA0L9/fxw7dszw6tChA4D/D4NXrlzBli1bbC59\\\n",
       "Hx4eDqlUarZiaEZGBiIjIwHc3spArVYjNzfXah1LZsyYgby8PMPr6tWrTt5pzdC8eXPo9XoUFxfj\\\n",
       "nXfegVQq9XSX0L17d6dGxd58802L5XeOCsbHxxsds7aKp0zmvu11GzduXG4dnU6HTp064e6773Zb\\\n",
       "P8r06dPH6mIzZ8+e9ep/NHGFygqEDIFE5GkMhEQE4PaUuCZNmhhevr6+hjB47tw5bN26tdwFQORy\\\n",
       "Odq3b2+0AIZer8e2bdvQtWtXAED79u3h4+NjVCclJQWpqamGOpYoFAoEBQUZvQjw9fXFa6+9Bq1W\\\n",
       "i5EjR3q6O1afmzt27BhatGiB7du3mx2ztl/hneHyzn0PAdvPLTZp0sTqsYp8+b5y5QoKCgosHjt5\\\n",
       "8iSkUilkMhn++ecfp6/hiKioKKxevRpPPfUU/Pz8DNNJBUFAbGxspfShJquMQNixY0cX95qIyHEM\\\n",
       "hERkkUajwWOPPYYjR45g5cqV0Ol0SE9PR3p6OtRqtaFenz598NlnnxneT58+HV9++SW+++47nD59\\\n",
       "GpMmTUJRURHGjh0L4PbqpePGjcP06dOxY8cOJCUlYezYsejatSu6dOlS6fdZ1YWHhyMqKgq9evWy\\\n",
       "uborAKxYscLjow2iKOLrr782KispKUHbtm1x+vRp9OnTB1KpFKWlpYbjX3zxhcW2WrVqBa1Wi//+\\\n",
       "+89ss/cPPvjAah9Onz5t9F4QBFy8eNGwD6Ioivjqq68cvTUAQFBQkNFG9RcvXoRUKkV8fLxbp4je\\\n",
       "KTIyEgUFBUhJSUHz5s2xfPlyw56P5FkpKSmIi4szvMpbBOrIkSMAwJ8dEXmU++bWEFG1lpaWht9+\\\n",
       "+w0A0KZNG6NjO3bsQK9evQAAFy5cQHZ2tuHYsGHDkJWVhVmzZiE9PR1t2rTB5s2bjRaaWbBgASQS\\\n",
       "CQYPHgyVSoXExEQsWbLE7fdUHd28eRPA7cV4GjZsCJlMZnNaZpMmTXDu3LnK6p5FEyZMwLhx4wzv\\\n",
       "f/zxR6Pjer0evr6+CA4Oxl133YWjR49abOfs2bNQKBQWg5at1UllMhlUKhXeeOMNjB49Gi1btjSr\\\n",
       "M27cOIwdOxYymczhL+OtW7d2qL41ZSPlTZo0wbBhw4ye27UmPz/faIGb9u3bM0y4iSMjf3fWS0lJ\\\n",
       "Mfr1l19+afOc4cOHV6CXREQVx0BIRBY1atTIri+aly9fNiubMmUKpkyZYvUcpVKJxYsXY/HixRXp\\\n",
       "olfSarVo164dkpOTLR7v0qWL2wPhokWLMGLECAwbNsziFFDTABcTE2Oxnby8PKth0FpbZcpb4EUu\\\n",
       "l+O9996zWUcikSArKwvh4eE267mDQqEwGiXdvXs3evXqhV27dlk95/z582arnQqCAB8fH5evaErO\\\n",
       "B8I7p+t2797dYv07n3VdtWqVkz0kInINBkIiomrGVohy9YbodxIEATqdzvDld9u2bejXr5/F5/lE\\\n",
       "UTTU69y5s8v74qpFdMp7LtZdLl68aFb2yy+/2OyPtUVtevTo4ZKN68mYM4EwNjbWbHqzJXf+g4bp\\\n",
       "NQRBwKpVqzhySESVhs8QEhHVIHeOOrnaqlWrzL68btiwwWLdO+tZWxG0Ily56bs7Vya1JioqyqzM\\\n",
       "39/fan1bG8o/88wzLukTGXPnojLlTTtmGCSiysQRQiKiKszR58NWrlyJlStXuqk35ux5Bk8QhCr9\\\n",
       "nFtVmW6pUCic+pyGDBlSpT/f6srZKaP2OH78uNU2+LMkosrGEUIiIiIiIiIvxRFCIiIiIhPuHCG0\\\n",
       "hCODROQpDIREREREJio7EBIReQoDIREREZEJBkIi8hYMhEREREQmGAiJyFswEBIRERGZYCAkIm/B\\\n",
       "VUaJiIiIiIi8FEcIiYiIiExwhJCIvAUDIREREZEJBkIi8hYMhEREREQmGAiJyFswEBIRERGZYCAk\\\n",
       "Im/BQEhERERkAYMeEXkDrjJKRERERETkpThCSERERGSCU0aJyFswEBIRERGZYCAkIm/BQEhERERk\\\n",
       "goGQiLwFAyERERGRCQZCIvIWDIREREREJhgIichbMBASERERmWAgJCJvwW0niIiIiIiIvBRHCImI\\\n",
       "iIhMcISQiLwFAyERERGRCQZCIvIWDIREREREJhgIichbMBASERERmWAgJCJvwUBIREREZIKBkIi8\\\n",
       "BVcZJSIiIiIi8lIcISQiIiIywRFCIvIWDIREREREJhgIichbMBASERERmWAgJCJvwUBIREREZIKB\\\n",
       "kIi8BQMhERERkQkGQiLyFlxllIiIiIiIyEtxhJCIiIjIBEcIichbMBASERERWcCgR0TegIGQiIiI\\\n",
       "yARHCInIWzAQEhEREZlgICQib8FASERERGSCgZCIvAUDIREREZEJBkIi8hbcdoKIiIiIiMhLcYSQ\\\n",
       "iIiIyARHCInIWzAQEhEREZlgICQib8FASERERGSCgZCIvAUDIREREZEJBkIi8hYMhEREREQmGAiJ\\\n",
       "yFtwlVEiIiIiIiIvxRFCIiIiIhPuHCG0Vl8URYfaISJyBY4QEhEREZkoC4T2vlyhe/fuLmmHiMgR\\\n",
       "DIREREREJtwZCEVRNHoFBQUBAPbu3euOWyEisolTRomoxpszZ46nu0BE1YwzU0ZTUlIQFxdnKO/e\\\n",
       "vTu+/PLLcs/Pz893rpNERC7AQEhERERkwtlnCFNSUox+XV4gvHNUkM8QEpEnMBASERERuUhsbKzh\\\n",
       "1/Y8E1hWRybjVzIi8gz+34eIiIjIhDMjhLGxsThz5oxD1yij0Wgc6yARkYtwURkissvEiRMhCAIW\\\n",
       "LlxYbt3FixejUaNGUCqV6Ny5Mw4fPmx0vLS0FJMnT0ZYWBgCAgIwePBgZGRkuKnnRESOc+eiMqmp\\\n",
       "qUbncKooEXkSAyERlevXX3/FwYMHER0dXW7dtWvXYvr06Zg9ezaSk5Nx9913IzExEZmZmYY6L7zw\\\n",
       "AjZu3Ih169Zh165duH79OgYNGuTOWyAicog7A2HDhg0Nv1YqlfD19YWvry8effRRV98GEVG5GAiJ\\\n",
       "yKa0tDQ899xzWLlyJXx8fMqt//HHH2P8+PEYO3YsWrRogaVLl8LPzw/ffPMNACAvLw9ff/01Pv74\\\n",
       "Y/Tu3Rvt27fHt99+i/379+PgwYPuvh0iIrtVxh6EpaWlhtdvv/3mop4TEdmPgZCIrNLr9Rg1ahRe\\\n",
       "eukltGzZstz6arUaSUlJSEhIMJRJJBIkJCTgwIEDAICkpCRoNBqjOnFxcWjQoIGhDhGRp1XmPoR3\\\n",
       "voiIKhsXlSEiq9577z3IZDJMnTrVrvrZ2dnQ6XSIiIgwKo+IiDAstJCeng65XI6QkBCzOunp6Vbb\\\n",
       "VqlUUKlUhvfct4uIiIio4jhCSEQAgJUrVyIgIMDw2rVrFxYtWoTly5dXeEqUK8yfPx/BwcGGV/36\\\n",
       "9T3dJSKqwdw5QkhEVJUwEBIRAKB///44duyY4bV//35kZmaiQYMGkMlkkMlkuHLlCv73v/+hUaNG\\\n",
       "FtsIDw+HVCo1WzE0IyMDkZGRAIDIyEio1Wrk5uZarWPJjBkzkJeXZ3hdvXq1QvdLRGQLAyEReQtO\\\n",
       "GSUiAEBgYCACAwMN7ydMmIBHHnnEqE5iYiJGjRqFsWPHWmxDLpejffv22LZtGwYMGADg9nOI27Zt\\\n",
       "w5QpUwAA7du3h4+PD7Zt24bBgwcDAFJSUpCamoquXbta7Z9CoYBCoajILRIR2c2ZfQiJiKojBkIi\\\n",
       "sigsLAxhYWFGZT4+PoiMjERsbKyhrE+fPhg4cKAh8E2fPh1jxoxBhw4d0KlTJyxcuBBFRUWGEBkc\\\n",
       "HIxx48Zh+vTpqFWrFoKCgvDcc8+ha9eu6NKlS+XdIBGRDQyEROQtGAiJqEIuXLiA7Oxsw/thw4Yh\\\n",
       "KysLs2bNQnp6Otq0aYPNmzcbLTSzYMECSCQSDB48GCqVComJiViyZIknuk9EZBEDIRF5CwZCIrLb\\\n",
       "5cuX7SqbMmWKYcTQEqVSicWLF2Px4sUu7B0RkeswEBKRt+CiMkRERERERF6KI4REREREJjhCSETe\\\n",
       "goGQiIiIyAQDIRF5CwZCIiIiIhMMhETkLRgIiYiIiEwwEBKRt2AgJCIiIjLBQEhE3oKrjBIRERER\\\n",
       "EXkpjhASERERmeAIIRF5CwZCIiIiIhMMhETkLRgIiYiIiEwwEBKRt2AgJCIiIjLBQEhE3oKBkIiI\\\n",
       "iMgEAyEReQuuMkpEREREROSlOEJIRNWSKIqe7gIRVXEV+f9EQUGB3SN/BQUFTl+HiMjTGAiJqFoq\\\n",
       "KCjAnDlzPN0NIqrCCgoKEBwc7NA57dq1Q0pKCurXr+/w9dq1a+fwOUREniaI/Gd2IqqG9Ho9rl+/\\\n",
       "jsDAQK9+fic/Px/169fH1atXERQU5OnueAw/h9v4OdwmiiIKCgoQHR0NicTxp2NGjBiB5ORkh85p\\\n",
       "164dVq1a5fC1iIg8jYGQiKgay8/PR3BwMPLy8rw6APBzuI2fAxEROYqLyhAREREREXkpBkIiIiIi\\\n",
       "IiIvxUBIRFSNKRQKzJ49GwqFwtNd8Sh+DrfxcyAiIkfxGUIiIiIiIiIvxRFCIiIiIiIiL8VASERE\\\n",
       "RERE5KUYCImIiIiIiLwUAyERURWi0WjwyiuvID4+Hv7+/oiOjsbo0aNx/fr1cs9dvHgxGjVqBKVS\\\n",
       "ic6dO+Pw4cNGx0tLSzF58mSEhYUhICAAgwcPRkZGhrtupULKuxdT69atQ1xcHJRKJeLj47Fp0yaj\\\n",
       "46IoYtasWYiKioKvry8SEhJw7tw5d95Chc2fPx8dO3ZEYGAg6tSpgwEDBiAlJaXc82riZ0FERO7D\\\n",
       "QEhEVIUUFxcjOTkZb7zxBpKTk/HLL78gJSUF/fv3t3ne2rVrMX36dMyePRvJycm4++67kZiYiMzM\\\n",
       "TEOdF154ARs3bsS6deuwa9cuXL9+HYMGDXL3LTnMnnu50/79+zF8+HCMGzcOR48exYABAzBgwACc\\\n",
       "PHnSUOf999/HJ598gqVLl+LQoUPw9/dHYmIiSktLK+u2HLZr1y5MnjwZBw8exJYtW6DRaNC3b18U\\\n",
       "FRVZPaemfhZERORGIhERVWmHDx8WAYhXrlyxWqdTp07i5MmTDe91Op0YHR0tzp8/XxRFUczNzRV9\\\n",
       "fHzEdevWGeqcPn1aBCAeOHDAfZ13Qnn3Ymro0KFiv379jMo6d+4sPvPMM6IoiqJerxcjIyPFDz74\\\n",
       "wHA8NzdXVCgU4urVq91wB+6RmZkpAhB37dpltY63fBZEROQ6HCEkIqri8vLyIAgCQkJCLB5Xq9VI\\\n",
       "SkpCQkKCoUwikSAhIQEHDhwAACQlJUGj0RjViYuLQ4MGDQx1qgJ77sXUgQMHjOoDQGJioqH+pUuX\\\n",
       "kJ6eblQnODgYnTt3rlL3Xp68vDwAQK1atazW8ZbPgoiIXIeBkIioCistLcUrr7yC4cOHIygoyGKd\\\n",
       "7Oxs6HQ6REREGJVHREQgPT0dAJCeng65XG4WKu+sUxXYcy+m0tPTy733sjJ726xq9Ho9pk2bhm7d\\\n",
       "uqFVq1ZW63nDZ0FERK7FQEhE5EErV65EQECA4bVnzx7DMY1Gg6FDh0IURXz++ece7CV52uTJk3Hy\\\n",
       "5EmsWbPG010hIqIaRubpDhARebP+/fujc+fOhvd169YF8P9h8MqVK9i+fbvV0UEACA8Ph1QqNVsx\\\n",
       "NCMjA5GRkQCAyMhIqNVq5ObmGo0S3lmnKrDnXkxFRkaWe+9lZVFRUUZ12rRp48Leu8eUKVPw+++/\\\n",
       "Y/fu3ahXr57NujX9syAiItfjCCERkQcFBgaiSZMmhpevr68hDJ47dw5bt25FWFiYzTbkcjnat2+P\\\n",
       "bdu2Gcr0ej22bduGrl27AgDat28PHx8fozopKSlITU011KkK7LkXU127djWqDwBbtmwx1I+JiUFk\\\n",
       "ZKRRnfz8fBw6dKhK3bspURQxZcoU/Prrr9i+fTtiYmLKPaemfhZERORGnl7VhoiI/p9arRb79+8v\\\n",
       "1qtXTzx27Jh448YNw0ulUhnq9e7dW/z0008N79esWSMqFApx+fLl4qlTp8QJEyaIISEhYnp6uqHO\\\n",
       "xIkTxQYNGojbt28Xjxw5Inbt2lXs2rVrpd6fPcq7l1GjRomvvvqqof6+fftEmUwmfvjhh+Lp06fF\\\n",
       "2bNniz4+PuK///5rqPPuu++KISEh4oYNG8QTJ06Ijz76qBgTEyOWlJRU+v3Za9KkSWJwcLC4c+dO\\\n",
       "o98HxcXFhjre8lkQEZH7MBASEVUhly5dEgFYfO3YscNQr2HDhuLs2bONzv3000/FBg0aiHK5XOzU\\\n",
       "qZN48OBBo+MlJSXis88+K4aGhop+fn7iwIEDxRs3blTCXTnO1r307NlTHDNmjFH9H3/8UWzWrJko\\\n",
       "l8vFli1bin/88YfRcb1eL77xxhtiRESEqFAoxD59+ogpKSmVcStOs/b74NtvvzXU8ZbPgoiI3EcQ\\\n",
       "RVH0zNgkEREREREReRKfISQiIiIiIvJSDIREREREREReioGQiIiIiIjISzEQEhEREREReSkGQiIi\\\n",
       "IiIiIi/FQEhEREREROSlGAiJiIiIiIi8FAMhERERERGRl2IgJCKiauHrr79G37593X6dzZs3o02b\\\n",
       "NtDr9W6/FhERkacxEBIRUZVXWlqKN954A7Nnz3b7tR544AH4+Phg5cqVbr8WERGRpzEQEhFRlffT\\\n",
       "Tz8hKCgI3bp1q5TrPfnkk/jkk08q5VpERESexEBIRESVJisrC5GRkZg3b56hbP/+/ZDL5di2bZvV\\\n",
       "89asWYNHHnnEqKxXr16YNm2aUdmAAQPw5JNPGt43atQIb7/9NkaPHo2AgAA0bNgQv/32G7KysvDo\\\n",
       "o48iICAArVu3xpEjR4zaeeSRR3DkyBFcuHDB+ZslIiKqBhgIiYio0tSuXRvffPMN3nzzTRw5cgQF\\\n",
       "BQUYNWoUpkyZgj59+lg9b+/evejQoYNT11ywYAG6deuGo0ePol+/fhg1ahRGjx6NkSNHIjk5GY0b\\\n",
       "N8bo0aMhiqLhnAYNGiAiIgJ79uxx6ppERETVBQMhERFVqoceegjjx4/HE088gYkTJ8Lf3x/z58+3\\\n",
       "Wj83Nxd5eXmIjo52+nrPPPMMmjZtilmzZiE/Px8dO3bEkCFD0KxZM7zyyis4ffo0MjIyjM6Ljo7G\\\n",
       "lStXnLomERFRdcFASEREle7DDz+EVqvFunXrsHLlSigUCqt1S0pKAABKpdKpa7Vu3drw64iICABA\\\n",
       "fHy8WVlmZqbReb6+viguLnbqmkRERNUFAyEREVW6Cxcu4Pr169Dr9bh8+bLNumFhYRAEAbdu3Sq3\\\n",
       "XZ1OZ1bm4+Nj+LUgCFbLTLeZyMnJQe3atcu9JhERUXXGQEhERJVKrVZj5MiRGDZsGN566y08/fTT\\\n",
       "ZqNzd5LL5WjRogVOnTpldsx0mufFixdd0sfS0lJcuHABbdu2dUl7REREVRUDIRERVarXX38deXl5\\\n",
       "+OSTT/DKK6+gWbNmeOqpp2yek5iYiL1795qVb9iwAb/88gsuXLiAd955B6dOncKVK1eQlpZWoT4e\\\n",
       "PHgQCoUCXbt2rVA7REREVR0DIRERVZqdO3di4cKFWLFiBYKCgiCRSLBixQrs2bMHn3/+udXzxo0b\\\n",
       "h02bNiEvL8+ovF+/fnj//ffRokUL7N69G0uWLMHhw4exYsWKCvVz9erVeOKJJ+Dn51ehdoiIiKo6\\\n",
       "QbxznW0iIqIqasiQIWjXrh1mzJgB4PY+hG3atMHChQtdep3s7GzExsbiyJEjiImJcWnbREREVQ1H\\\n",
       "CImIqFr44IMPEBAQ4PbrXL58GUuWLGEYJCIir8ARQiIiqpbcNUJIRETkTRgIiYiIiIiIvBSnjBIR\\\n",
       "EREREXkpBkIiIiIiIiIvxUBIRERERETkpRgIiYiIiIiIvBQDIRERERERkZdiICQiIiIiIvJSDIRE\\\n",
       "REREREReioGQiIiIiIjISzEQEhEREREReSkGQiIiIiIiIi/FQEhEREREROSlGAiJiIiIiIi8FAMh\\\n",
       "ERERERGRl2IgJCIiIiIi8lL/Bz1dSyIas1IgAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[29] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAd1NJREFUeJzt3Xd4VMXCBvD3bE0PIT2UEAm9ShWkKdwbPlFAaRcpCgiKgCIq\\\n",
       "iAWkKFZARMQCqIg0C6hwUXov0kR6gBAgIQkBUkjZer4/eLKXrdnd7GaTnPf3PPvc7Jw5c+Ys8bIv\\\n",
       "M2dGEEVRBBEREREREUmOzNcdICIiIiIiIt9gICQiIiIiIpIoBkIiIiIiIiKJYiAkIiIiIiKSKAZC\\\n",
       "IiIiIiIiiWIgJCIiIiIikigGQiIiIiIiIoliICQiIiIiIpIoBkIiIiIiIiKJYiAkIiIiIiKSKAZC\\\n",
       "IiIiIiIiiWIgJCIiIiIikigGQiIiIiIiIoliICQiIiIiIpIoBkIiInLLjh07IAgCduzY4euukIcd\\\n",
       "OnQIKpUKqamp5X7tmzdvIjAwEBs3biz3axMRSREDIRERObRo0SJ88803vu6GW3744QfMnz/f190A\\\n",
       "ABiNRnzwwQdISEiAn58fmjdvjpUrVzp9fk5ODsaMGYPIyEgEBgbioYcewtGjR63qrV69GkOHDkW9\\\n",
       "evUgCAK6devmcl/feOMNDB48GPHx8S6fW1bh4eF45pln8NZbb5X7tYmIpEgQRVH0dSeIiKjiatq0\\\n",
       "KSIiIqxGAo1GI7RaLVQqFWSyivnvi48++ihOnjyJy5cv+7ormDp1Kt577z2MHj0abdu2xfr167Fh\\\n",
       "wwasXLkS//nPfxyeazQa0blzZ/z999949dVXERERgUWLFuHq1as4cuQI6tWrZ6rbrVs3HDlyBG3b\\\n",
       "tsXx48fRvHlzl0Zxjx8/jvvvvx/79u1Dhw4d3L3dMjlz5gwaN26MrVu34uGHH/ZJH4iIpIKBkIjI\\\n",
       "CQUFBQgMDPR1N3zCXiCsDCpKIExLS0NCQgLGjBmDhQsXAgBEUUTXrl2RkpKCy5cvQy6X2z1/zZo1\\\n",
       "GDRoENauXYv+/fsDAG7cuIH69evj//7v//DDDz+Y6l69ehU1atSATCZz68/uxRdfxLp163D58mUI\\\n",
       "guDeDXtAs2bNcP/99+O7777zWR+IiKSgYv6TLhGRF6WlpWHUqFGIi4uDWq1GQkICxo4dC61WCwD4\\\n",
       "5ptvIAgCdu7cieeffx5RUVGoWbOm6fxFixahSZMmUKvViIuLw7hx45CTk2N2jeTkZPTr1w8xMTHw\\\n",
       "8/NDzZo18Z///Ae5ubmmOps3b0anTp1QrVo1BAUFoUGDBnj99ddL7b8z52k0GkyfPh2JiYlQq9Wo\\\n",
       "VasWJk+eDI1GY9Xe999/j3bt2iEgIABhYWHo0qUL/vzzTwBAnTp1cOrUKezcuROCIJhNQbT3DOHa\\\n",
       "tWvRunVr+Pv7IyIiAkOHDkVaWppZnaeffhpBQUFIS0tD3759ERQUhMjISLzyyiswGAylfgbr169H\\\n",
       "r169TH+GdevWxaxZs8zO7datGzZs2IDU1FRT3+vUqWO3zaefftpUz/L19ttvl9qn0vqr0+nw/PPP\\\n",
       "m8oEQcDYsWNx7do17N+/3+H5P/74I6Kjo/HEE0+YyiIjIzFw4ECsX7/e7M+1Vq1aZRqxXbduHR5+\\\n",
       "+GGrMGjvc6hTpw6efvpp0/uS/3727NmDF154AZGRkahWrRqeffZZaLVa5OTkYPjw4QgLC0NYWBgm\\\n",
       "T54MW/82/a9//Qu//fabzWNEROQ5Cl93gIioPKWnp6Ndu3am57EaNmyItLQ0/PjjjygsLIRKpTLV\\\n",
       "ff755xEZGYlp06ahoKAAAPD2229jxowZ6NGjB8aOHYtz587h888/x19//YW9e/dCqVRCq9UiKSkJ\\\n",
       "Go0GEyZMQExMDNLS0vD7778jJycHoaGhOHXqFB599FE0b94cM2fOhFqtxoULF7B3716H/XfmPKPR\\\n",
       "iN69e2PPnj0YM2YMGjVqhH/++Qfz5s3D+fPnsW7dOlPdGTNm4O2330bHjh0xc+ZMqFQqHDx4ENu2\\\n",
       "bcO///1vzJ8/HxMmTEBQUBDeeOMNAEB0dLTd/n3zzTcYMWIE2rZtizlz5iAzMxOffPIJ9u7di2PH\\\n",
       "jqFatWqmugaDAUlJSWjfvj0++ugjbNmyBR9//DHq1q2LsWPHOvwcvvnmGwQFBWHSpEkICgrCtm3b\\\n",
       "MG3aNOTl5eHDDz8EcPc5uNzcXFy7dg3z5s0DAAQFBdlt89lnn0WPHj3MyjZt2oQVK1YgKirKVJad\\\n",
       "ne2wbyWCg4OhVqsBAMeOHUNgYCAaNWpkVqddu3am4506dbLb1rFjx9CqVSuroNeuXTt8+eWXOH/+\\\n",
       "PJo1a+ZUvxxJS0vDlStX0KpVqzK3VfK7P2PGDBw4cABffvklqlWrhn379qF27dp49913sXHjRnz4\\\n",
       "4Ydo2rQphg8fbnZ+69atMW/ePJw6dQpNmzYtc3+IiMgOkYhIQoYPHy7KZDLxr7/+sjpmNBpFURTF\\\n",
       "ZcuWiQDETp06iXq93nQ8KytLVKlU4r///W/RYDCYyhcuXCgCEJcuXSqKoigeO3ZMBCCuXbvWbj/m\\\n",
       "zZsnAhBv3LjhUv+dOW/58uWiTCYTd+/ebVa+ePFiEYC4d+9eURRFMTk5WZTJZOLjjz9udj+i+L/P\\\n",
       "QhRFsUmTJmLXrl2trrN9+3YRgLh9+3ZRFEVRq9WKUVFRYtOmTcWioiJTvd9//10EIE6bNs1U9tRT\\\n",
       "T4kAxJkzZ5q1ef/994utW7d2/CGIolhYWGhV9uyzz4oBAQFicXGxqaxXr15ifHx8qe3ZkpycLIaG\\\n",
       "hor/+te/zH4PADj1WrZsmVk/7rvvPqtrFBQUiADE1157zWFfAgMDxZEjR1qVb9iwQQQgbtq0yeZ5\\\n",
       "9v7s7NmyZYsIQPztt9+sjgEQp0+fblUeHx8vPvXUU6b3Jf/9JCUlmf0edejQQRQEQXzuuedMZXq9\\\n",
       "XqxZs6bNPu7bt08EIK5evdrp/hMRkes4ZZSIJMNoNGLdunV47LHH0KZNG6vjllPkRo8ebfZc15Yt\\\n",
       "W6DVajFx4kSzkZrRo0cjJCQEGzZsAACEhoYCAP744w8UFhba7EvJSNn69ethNBqdvgdnzlu7di0a\\\n",
       "NWqEhg0bIjs72/QqWZxj+/btAO5ODTQajZg2bZrVyJM7z44dPnwYWVlZeP755+Hn52cq79WrFxo2\\\n",
       "bGj6fO713HPPmb3v3LkzLl26VOq1/P39TT/n5+cjOzsbnTt3RmFhIc6ePety3y0VFBTg8ccfR1hY\\\n",
       "GFauXGn2e7B582anXklJSaZzioqKTKOF9yr5nIqKihz2p6znO+vmzZsAgLCwsDK3NWrUKLPfo/bt\\\n",
       "20MURYwaNcpUJpfL0aZNG5t/5iV9cHZEloiI3MMpo0QkGTdu3EBeXp7T088SEhLM3pfsydagQQOz\\\n",
       "cpVKhfvuu890PCEhAZMmTcLcuXOxYsUKdO7cGb1798bQoUNNYXHQoEH4+uuv8cwzz+C1115D9+7d\\\n",
       "8cQTT6B///4On/9y5rzk5GScOXMGkZGRNtvIysoCAFy8eBEymQyNGzd26vMojb3PBwAaNmyIPXv2\\\n",
       "mJX5+flZ9TEsLAy3b98u9VqnTp3Cm2++iW3btiEvL8/s2L3Pabpr9OjRuHjxIvbt24fw8HCzY5bT\\\n",
       "Sp3h7+9v8/nN4uJi03Fvnu8q0QPP7dWuXdvsfcnvfq1atazKbf2Zl/TBlwvbEBFJAQMhEZEdZfmS\\\n",
       "/fHHH+Ppp5/G+vXr8eeff+KFF17AnDlzcODAAdSsWRP+/v7YtWsXtm/fjg0bNmDTpk1YvXo1Hn74\\\n",
       "Yfz55592V5x05jyj0YhmzZph7ty5Ntuw/ELuK45W1XQkJycHXbt2RUhICGbOnIm6devCz88PR48e\\\n",
       "xZQpU1wacbXlk08+wcqVK/H999+jZcuWVsczMjKcaic0NNT0OxQbG4vt27dDFEWzgHP9+nUAQFxc\\\n",
       "nMO2YmNjTXXv5ez5zioJv86E8hL2wqO9P19b5bbaKOlDRESE030hIiLXccooEUlGZGQkQkJCcPLk\\\n",
       "SbfOL9mk+9y5c2blWq0WKSkpVpt4N2vWDG+++SZ27dqF3bt3Iy0tDYsXLzYdl8lk6N69O+bOnYvT\\\n",
       "p0/jnXfewbZt20xTOu0p7by6devi1q1b6N69O3r06GH1KhnBq1u3LoxGI06fPu3wes6O0Nj7fErK\\\n",
       "PLXJ+Y4dO3Dz5k188803ePHFF/Hoo4+iR48eNqc5ujq6tHv3brzyyiuYOHEihgwZYrNObGysU6/V\\\n",
       "q1ebzmnZsiUKCwtx5swZs7YOHjxoOu5Iy5YtcfToUauwe/DgQQQEBKB+/fou3ac9DRs2BACkpKTY\\\n",
       "PJ6fn29VVjLi7GklfbBciIeIiDyLgZCIJEMmk6Fv37747bffcPjwYavjpU2T69GjB1QqFRYsWGBW\\\n",
       "d8mSJcjNzUWvXr0AAHl5edDr9WbnNmvWDDKZzDTt79atW1btl4QCW1MDSzhz3sCBA5GWloavvvrK\\\n",
       "qm5RUZFpxdS+fftCJpNh5syZVkHj3vsLDAy02lbDljZt2iAqKgqLFy82u4f//ve/OHPmjOnzKauS\\\n",
       "EaZ7+6jVarFo0SKruoGBgU5PIb1+/ToGDhyITp06mVYqtcWdZwj79OkDpVJp1kdRFLF48WLUqFED\\\n",
       "HTt2NOvH2bNnodPpTGX9+/dHZmYmfv75Z1NZdnY21q5di8cee8zm84XuqFGjBmrVqmXzvw8AVluM\\\n",
       "/Pe//0VxcbFXtoY4cuQIQkND0aRJE4+3TURE/8Mpo0QkKe+++y7+/PNPdO3a1bQlw/Xr17F27Vrs\\\n",
       "2bPHbFsES5GRkZg6dSpmzJiBnj17onfv3jh37hwWLVqEtm3bYujQoQCAbdu2Yfz48RgwYADq168P\\\n",
       "vV6P5cuXQy6Xo1+/fgCAmTNnYteuXejVqxfi4+ORlZWFRYsWoWbNmg63H3DmvGHDhmHNmjV47rnn\\\n",
       "sH37djz44IMwGAw4e/Ys1qxZgz/++ANt2rRBYmIi3njjDcyaNQudO3fGE088AbVajb/++gtxcXGY\\\n",
       "M2cOgLvL/3/++eeYPXs2EhMTERUVZVqg5l5KpRLvv/8+RowYga5du2Lw4MGmbSfq1KmDl156yd0/\\\n",
       "NjMdO3ZEWFgYnnrqKbzwwgsQBAHLly+3GUpat26N1atXY9KkSWjbti2CgoLw2GOP2Wz3hRdewI0b\\\n",
       "NzB58mSsWrXK7Fjz5s3RvHlzAO49Q1izZk1MnDgRH374IXQ6Hdq2bYt169Zh9+7dWLFihdk0yqlT\\\n",
       "p+Lbb79FSkqKad/E/v3744EHHsCIESNw+vRpREREYNGiRTAYDJgxY4bZtXbt2oVdu3YBuPvcbEFB\\\n",
       "AWbPng0A6NKlC7p06eKwr3369MEvv/xiNb0VAM6cOYNHHnkEvXv3Rnp6Oj755BOEhoZi3759WLly\\\n",
       "JQYPHuzyZ2PP5s2b8dhjj/EZQiIib/PF0qZERL6UmpoqDh8+XIyMjBTVarV43333iePGjRM1Go0o\\\n",
       "iv9bNt/W1hSieHebiYYNG4pKpVKMjo4Wx44dK96+fdt0/NKlS+LIkSPFunXrin5+fmL16tXFhx56\\\n",
       "SNyyZYupztatW8U+ffqIcXFxokqlEuPi4sTBgweL58+fd9h3Z8/TarXi+++/LzZp0kRUq9ViWFiY\\\n",
       "2Lp1a3HGjBlibm6uWd2lS5eK999/v6le165dxc2bN5uOZ2RkiL169RKDg4NFAKYtAiy3nSixevVq\\\n",
       "U3vVq1cXhwwZIl67ds2szlNPPSUGBgZa3d/06dNFZ/5q2rt3r/jAAw+I/v7+YlxcnDh58mTxjz/+\\\n",
       "sOrPnTt3xCeffFKsVq2aCMDhFhRdu3a1u4WEre0WXGUwGMR3331XjI+PF1UqldikSRPx+++/t6pX\\\n",
       "siVHSkqKWfmtW7fEUaNGieHh4WJAQIDYtWtXm7+jJZ+hu/dx9OhREYDVtiUAxEmTJokDBgwQ/f39\\\n",
       "xdjYWHHhwoXi4sWLxYCAAPGZZ54RRdH+fz8l/bLcMsXW78KZM2dEAGb/zRARkXcIouiFeR5ERERU\\\n",
       "aXXv3h1xcXFYvny5qUwQBEyfPh1vv/22168/ceJE7Nq1C0eOHOEIIRGRl/EZQiIiIjLz7rvvYvXq\\\n",
       "1aatRMrTzZs38fXXX2P27NkMg0RE5YDPEBIREZGZ9u3bQ6vV+uTa4eHhuHPnjk+uTUQkRRwhJCIi\\\n",
       "IiIikiiOEBIREVGpuOQAEVHVxBFCIiIiIiIiiWIgJCIiIiIikihOGSWiSsloNCI9PR3BwcFciZCI\\\n",
       "zIiiiPz8fMTFxUEmc/3fvgcNGoSjR4+6dE6rVq2wevVql69FRORrDIREVCmlp6fj66+/9nU3iKiC\\\n",
       "mjFjBq5evYqaNWu6dN6gQYOwZs0al6934cIFAGAoJKJKh4GQiCql4OBgAODoIBHZVfL/E65wdWTQ\\\n",
       "3XNt/X9XycI9M2bMwNtvv211XKlU+mw7ECKquhgIiahSYhAkotKU9f8nnD3f0yuwfvPNNzbLdTqd\\\n",
       "R69DRAQwEBIRERFZEQTBpUDpaii8t77ldVJSUmz2BwBkMhmMRqNL1yIicoSBkIiIiMiCO4HwwoUL\\\n",
       "qFevnqmsc+fOWLp0qUf7VbduXY+2R0TEQEhERERkwdVAWKJkcZmSnz0RCAcNGmT6OTk5ucztERHd\\\n",
       "i4GQiIiIyIK7gTAxMdH0c+fOncvcjxkzZphWPb23bSIiT2EgJCIiIrLgTiBMTEz06AjevauNhoWF\\\n",
       "cXSQiLzC9d1aiYiIiMir7g2DQUFBuHXrlm87RERVFgMhERERkYWSEUJnX65q1aqV1bmCIEAmk1nt\\\n",
       "Q6jT6eDn5wc/Pz+89NJLnrg9IiITBkIiIiIiC94OhMeOHbNZLoqi1ab0Go3G9Jo/f74bd0NEZB+f\\\n",
       "ISQiIiKy4G7Qc5anN7MnInIXAyERERGRBW8HQiKiioKBkIiIiMgCAyERSQWfISQiIiIiIpIojhAS\\\n",
       "ERERWeAIIRFJBUcIichp7733HgRBwMSJEx3WW7t2LRo2bAg/Pz80a9YMGzduNDsuiiKmTZuG2NhY\\\n",
       "+Pv7o0ePHtxwmYgqFG+vMkpEVFEwEBKRU/766y988cUXaN68ucN6+/btw+DBgzFq1CgcO3YMffv2\\\n",
       "Rd++fXHy5ElTnQ8++AALFizA4sWLcfDgQQQGBiIpKQnFxcXevg0iIqcwEBKRVDAQElGp7ty5gyFD\\\n",
       "huCrr75CWFiYw7qffPIJevbsiVdffRWNGjXCrFmz0KpVKyxcuBDA3dHB+fPn480330SfPn3QvHlz\\\n",
       "fPfdd0hPT8e6devK4W6IiErHQEhEUsFASESlGjduHHr16oUePXqUWnf//v1W9ZKSkrB//34AQEpK\\\n",
       "CjIyMszqhIaGon379qY6tmg0GuTl5Zm9iIi8hYGQiKSCgZCIHFq1ahWOHj2KOXPmOFU/IyMD0dHR\\\n",
       "ZmXR0dHIyMgwHS8ps1fHljlz5iA0NNT0qlWrliu3QUREREQ2MBASkV1Xr17Fiy++iBUrVsDPz8+n\\\n",
       "fZk6dSpyc3NNr6tXr/q0P0RUtXGEkIikgttOEJFdR44cQVZWFlq1amUqMxgM2LVrFxYuXAiNRgO5\\\n",
       "XG52TkxMDDIzM83KMjMzERMTYzpeUhYbG2tWp2XLlnb7olaroVary3pLREROYdAjIqngCCER2dW9\\\n",
       "e3f8888/OH78uOnVpk0bDBkyBMePH7cKgwDQoUMHbN261axs8+bN6NChAwAgISEBMTExZnXy8vJw\\\n",
       "8OBBUx0iooqAo4NEJAUcISQiu4KDg9G0aVOzssDAQISHh5vKhw8fjho1apieMXzxxRfRtWtXfPzx\\\n",
       "x+jVqxdWrVqFw4cP48svvwQA0z6Gs2fPRr169ZCQkIC33noLcXFx6Nu3b7neHxGRPa6EPYZCIqrM\\\n",
       "GAiJqEyuXLkCmex/kw06duyIH374AW+++SZef/111KtXD+vWrTMLlpMnT0ZBQQHGjBmDnJwcdOrU\\\n",
       "CZs2bfL5c4pERCUYCIlIKgRRFEVfd4KIyFV5eXmYO3cuv4gRkU1vv/02cnNzERIS4tJ59erVw4UL\\\n",
       "FxAREWH2j12OGI1GZGdnIzExEcnJye50l4jIZ/gMIRERERERkURxyigRERGRBU4ZJSKpYCAkIiIi\\\n",
       "ssBASERSwUBIRFXe9OnTfd0FIvKgGTNmeP0aDIREJBUMhEREREQWGAiJSCoYCImIiIgsMBASkVRw\\\n",
       "lVEiIiIiIiKJ4gghERERkQWOEBKRVDAQEhEREVlgICQiqWAgJCIiIrLAQEhEUsFASERERGSBgZCI\\\n",
       "pIKBkIiIiMgCAyERSQVXGSUiIiIiIpIojhASERERWeAIIRFJBQMhERERkQUGQiKSCgZCIiIiIgsM\\\n",
       "hEQkFQyERERERBYYCIlIKhgIiYiIiGxg0CMiKeAqo0RERERERBLFEUIiIiIiC5wySkRSwUBIRERE\\\n",
       "ZIGBkIikgoGQiIiIyAIDIRFJBQMhERERkQUGQiKSCgZCIiIiIgsMhEQkFQyERERERBYYCIlIKrjt\\\n",
       "BBERERERkURxhJCIiIjIAkcIiUgqGAiJiIiILDAQEpFUcMooERERkYWSQOjsyxPt3ys1NdUj1yEi\\\n",
       "Kg0DIREREZEFbwfC0tSpU8dm+aBBgzx+LSKSNgZCIiIiIgveDoSiKJpellJTU63qlQTENWvWuH1P\\\n",
       "RES2MBASERERVSC2RgdTUlLKvyNEJAlcVIaIiIjIgjuLyly4cAH16tUzlXfu3BlLly51uw8qlcrt\\\n",
       "c4mInMVASERERGTB3VVGL1y4YPZzWQIhEVF5YCAkIiIisuBuIExMTDT93Llz5zL1QavVlul8IiJn\\\n",
       "MBASERERWXAnECYmJiI5ObnM1758+bLVc4T3TkUlIvIkBkIiIiIiC97emL5Vq1Y4duyYzWsajUa7\\\n",
       "bQ8cONDlaxEROcJVRomIiIjKmWUYLFGyDcXly5dtHl+9erW3ukREEsURQiIiIiIL3h4htLX/4L3i\\\n",
       "4+NLrUNE5AkMhEREREQ2uBP0iIgqGwZCIiIiIgveHiEkIqooGAiJiIiILDAQEpFUMBASERERWWAg\\\n",
       "JCKpYCAkIiIissBASERSwW0niIiIiIiIJIojhEREREQWOEJIRFLBQEhERERkgYGQiKSCgZCIiIjI\\\n",
       "AgMhEUkFAyERERGRBQZCIpIKBkIiIiIiCwyERCQVXGWUiIiIiIhIojhCSERUgdkbeRBFsZx74ju3\\\n",
       "b99G9erV3T6/tM8qJCQE+fn5brdf2Ujpd6csOEJIRFLBQEhEVMkEBgb6ugvlKj093e1z1Wp1qXXu\\\n",
       "3LnjdvtUdTEQEpFUMBASEVUyN2/e9HUXytXff//t9rkpKSkOjxsMBo6YkU0MhEQkFXyGkIiokggI\\\n",
       "CEBBQYFTo15VSaNGjdw671//+hdiY2Md1klISHCrbar6SgKhsy8iosqKgZCI7JozZw7atm2L4OBg\\\n",
       "REVFoW/fvjh37lyp561duxYNGzaEn58fmjVrho0bN5odF0UR06ZNQ2xsLPz9/dGjRw8kJyd76zYq\\\n",
       "NVEUTa+CggIEBAT4ukvlrmXLlnaPpaammn1Ger0et27dgsFgwJ9//umw3Vu3buHq1atu9SkpKQnH\\\n",
       "jh1D69at3TqfKj4GQiKSCgZCIrJr586dGDduHA4cOIDNmzdDp9Ph3//+NwoKCuyes2/fPgwePBij\\\n",
       "Ro3CsWPH0LdvX/Tt2xcnT5401fnggw+wYMECLF68GAcPHkRgYCCSkpJQXFxcHrdFlYwgCFi7dq1Z\\\n",
       "WbVq1SCKImrXrm1WLpfLERYWBpnM8V9v2dnZCA8Pd6s/Wq0WmzZtQsuWLXH48GHo9Xq32vGmRx55\\\n",
       "BEOGDGFQISKiUjEQEpFdmzZtwtNPP40mTZqgRYsW+Oabb3DlyhUcOXLE7jmffPIJevbsiVdffRWN\\\n",
       "GjXCrFmz0KpVKyxcuBDA3RGv+fPn480330SfPn3QvHlzfPfdd0hPT8e6devK6c6osunfvz9EUUR+\\\n",
       "fj6MRiNu377tdlsJCQmIjIx069xVq1ZBqVSalcnl8grzjxkDBgyAKIrYsGEDvv/+exiNRoSEhPi6\\\n",
       "W5USRwiJSCoYCInIabm5uQDgcAuA/fv3o0ePHmZlSUlJ2L9/P4C7i3xkZGSY1QkNDUX79u1NdWzR\\\n",
       "aDTIy8sze1HFt2rVKtMX5qioqDK3FxQU5PaX799//x2CIODy5ctuX3/QoEE2y9VqNeLj491u1xN2\\\n",
       "796NNWvWWJXn5uaWOmJK1hgIiUgq+DcEETnFaDRi4sSJePDBB9G0aVO79TIyMhAdHW1WFh0djYyM\\\n",
       "DNPxkjJ7dWyZM2cOQkNDTa9atWq5eytUToYPH47Bgweb3t+4cQOPPfaYT/py+fLlMl+7Ro0aDo9f\\\n",
       "vHixTO2XRVpaGjp16mT3uF6vZyh0EQMhEUkF/3YgIqeMGzcOJ0+exKpVq3xy/alTpyI3N9f0cncx\\\n",
       "ELLPk9sv6HQ6LF++3KrccoEhW+fduHHDY/0o8dprr5W5jdJGFuVyORSK8tvNSRAEtG7dGkajEXFx\\\n",
       "caXWNRgMOHToUDn1rmpgGCQiKWAgJKJSjR8/Hr///ju2b9+OmjVrOqwbExODzMxMs7LMzEzExMSY\\\n",
       "jpeU2atji1qtRkhIiNmLPOP69evw9/dHYGCgxzZpDw0NtVlu+fzdvTp37gyVSoWoqCinR7N0Op1T\\\n",
       "9ZYvX17qF3eFQoHw8HDUq1cPsbGxpr4qlUrcuHHDqbBXlmcbSwiCAJlMhsDAQDzxxBM4e/YstFot\\\n",
       "jEaj2YqqRqMRhw8fdimQtG3btsz9kwqOEBKRVDAQEpFdoihi/Pjx+OWXX7Bt2zan9mzr0KEDtm7d\\\n",
       "ala2efNmdOjQAcDdBT1iYmLM6uTl5eHgwYOmOlS+du7cCa1WC41Gg1u3bpW5Pa1Wi6KiIpvHNmzY\\\n",
       "YLPcYDBgz549pveiKOL555+3e42SKZAqlQpyubzU0U2lUgmj0Yji4mLk5OSgqKjItCl9yUun0yE7\\\n",
       "Oxvnz59Heno6tFotRFGEVqtFRESEE3d+9xnH7777zqm6JQRBwL59+8yCnsFgwJ07d/DTTz+hQYMG\\\n",
       "UCqVDB1EROQVDIREZNe4cePw/fff44cffkBwcDAyMjKQkZFh9mV/+PDhmDp1qun9iy++iE2bNuHj\\\n",
       "jz/G2bNn8fbbb+Pw4cMYP348gLtffidOnIjZs2fj119/xT///IPhw4cjLi4Offv2Le9bJAD/+c9/\\\n",
       "kJmZiezsbKttHGy5c+cOVCoVBEFAYGAgzpw5YzpWWFgIPz8/u+d2797dZvnZs2etyn788Ue77SiV\\\n",
       "SlMINBqNiI2NhdFoLLXvarUaoaGh8PPz89ozdcOGDUNRURHkcnmpdf39/WE0GvmPIRUQRwiJSCoY\\\n",
       "CInIrs8//xy5ubno1q0bYmNjTa/Vq1eb6ly5cgXXr183ve/YsSN++OEHfPnll2jRogV+/PFHrFu3\\\n",
       "zmwhmsmTJ2PChAkYM2YM2rZtizt37mDTpk0OgwR5V0REBMLCwpyqGxwcbJqqWVhYiMaNG5u+FAcG\\\n",
       "BtodrXP0pblOnTpWZS+//LLNuj/88INVWWZmJho0aOBE78uHn58f9Ho93nzzTbt1BEFAYWFhOfaK\\\n",
       "XMFASERSIYieXEWAiKic5OXlYe7cuU59EZs+fXo59EgaZs6cWabP02g02v0zU6vV0Gq1AO5+Gbc3\\\n",
       "4ieXy+0ey8vLQ3BwsNv984bTp0+jSZMmVuUFBQUICAgo9/5UhfAydepUqFQqh3VmzJiB3Nxcl583\\\n",
       "rlevHi5cuICePXs6fOb1XjqdDps2bUJiYiKSk5Nduh4Rka9xhJCIiJz29ttvl+n8wMBAu8c0Gg0O\\\n",
       "HTqEzZs3O5z+6ehYSEgInn76aRgMhjL105MaN26MvLw8symqixYt8kkYJOdxhJCIpKL81scmIqJK\\\n",
       "LScnp8xbUxQVFUEmk8FgMNj8Eu3MKphyudxh4Pv222/x7bffAri72unt27d9/oU9ODgYBoMBGo0G\\\n",
       "CoXCqecLybdcCXq+/v0iIioLjhASEZFTwsPDPdKOKIoICgpy+3xXtnbIzc2Fv7+/29fyNLVa7XQY\\\n",
       "PHHiBGQyGQRBwBtvvOHlnpEljhASkVQwEBIRUam++OILp1bxdFZZFlMpGW2Liopyqr5Go3H7WiW0\\\n",
       "Wi1ycnLK3I6zjEYjWrRoYRqRfffdd/HKK6+U2/WJiEg6GAiJiKhUzz33nEfbu//++8t0vkwmQ2Zm\\\n",
       "JkRRxGOPPeahXtlWrVo1qNVqhIWFQRAE0wqr3rRt2zarso8//hgZGRk26+t0ujJP5yVzHCEkIqlg\\\n",
       "ICQiIoc8HTTq1KmDo0ePeqy9X3/9FQUFBUhMTLR5vFevXm63feDAAeTm5pqVqdVqt9tzVq1atWyW\\\n",
       "x8bG4plnnoFGo8Ht27dRr149CIIAlUoFmUyG06dPe71vUsFASERSwUBIREQOufplVyaT4ZdffkFu\\\n",
       "bi6uXr2KRYsWYezYsdi3bx+MRiNSUlI83seAgAAkJydj3759ZuVhYWH4/fff3W532rRpVmWiKNoN\\\n",
       "tBcvXjQ999euXTu3r+toT8UlS5bAz88P1atXx4ULF8yOtWrVyu1rkjkGQiKSCgZCIiIqla0pjLZ8\\\n",
       "++23MBgM6Nu3L0JCQlCzZk2MHTsWixYtQocOHbz+xblDhw4QRRE6nQ4GgwG3bt0qU3v2nttr3bq1\\\n",
       "Vdmrr76KxMRE04jqX3/9hb1799o8XxRFVK9eHXK5HP369bNZ59q1ay73l1tZeA4DIRFJBbedICKi\\\n",
       "Uj300EPQ6/Vo2LCh1agUcHf/v9u3b5vttedLCoVn/nr797//bfeYXC7H2bNnERwcjMTERBQUFFjV\\\n",
       "eeihh6DVam32r2SRnp9//hnx8fFITU01q1OjRg3s2LED3bp1c7q/9p4xJNdx2wkikoqK8Tc3ERFV\\\n",
       "eHK5HMnJyRBFEaIoQqPRoKioCKIoIjc3t8KEQU/78MMPbZYbjUbUr18fsbGxNsMgAJsL0IiiaLVi\\\n",
       "65UrV2ye37VrV7zzzjul9lEQBGg0GqhUqlLrlvz5VeaXWq3miB0RkYdUzb+9iYjI61QqFfz8/Hzd\\\n",
       "Da975ZVX3J6KaSskuxpWXn/9dYSGhto9PnDgQBiNRqfCIDmPU0aJSCo4ZZSIiMqdTqeDIAgem9rp\\\n",
       "bWlpaQgLC3P5vJdeeslmeevWrXHkyBHT+//85z8O28nJyYFCoYDBYDCVKRQKFBUVVZrPsLLhlFEi\\\n",
       "kgqOEBIRUbkZOXKkaZsEpVIJQRAQFBSE8+fPV4h99K5cuWJaJVQQBGRmZgK4+4ykq9tNdOvWDR99\\\n",
       "9JHNY4cPH8aVK1fw5JNPIjMzEytXriy1Pb1ejxUrVmDEiBHIzc2FTqdjGPQijhASkVQwEBIRUbkY\\\n",
       "NmwYli1bZlVeUFCABg0amAWxkldISAj2799f5mtrtdpSA+f169cRHx9vVi8mJgZZWVkQRRG1a9cu\\\n",
       "9TqhoaGm5yq3b9/usG6tWrWwYsUKREVFOXcTAJ588kksXboUISEhTp9D7mEgJCKpYCAkIiK3FBcX\\\n",
       "Q6PROFVXo9Hg+++/d/ka+fn56NixIwRBgFwuR0REBCIiIqBUKiGTyeDn5+dwX0O9Xg+ZTAa1Wg2Z\\\n",
       "TIYnnnjCbt24uDib5Vu2bIEgCBg6dKjDvn744YfIycmRxHOVUsBASERSwUBIREQuyc7Ohkwmg7+/\\\n",
       "P/z8/PDII4+Ueo4nQpLRaMTNmzdx8+ZN6PV600qn9913H/r162dzBFClUpmV//LLLwgPD7eql5aW\\\n",
       "Zve6gwYNgkwmw9SpU+3WiY+Pt7tnIRERUUXGQEhERKUSRRGZmZkICgpCZGSkWcj673//6/BcV5+9\\\n",
       "c8fPP/9stcpm27ZtbYbEW7duQa1Wm7Z+MBgMdqeDpqWlQS6XAwCUSiWio6Ot6giCgMuXLzvs38WL\\\n",
       "FxEbG4v69eubnkukio0jhEQkFQyERERkRhRFtG3b1uyZPplMhpiYGLv77dnzr3/9y+bG7N6g1+vx\\\n",
       "0EMPoaioCM8++ywOHz5st65Wq4VcLodMJjPbJP5eX3/9tdU00uvXr9u8bmnq1auHjIwMJCcnIyYm\\\n",
       "BoIgoKioyIm7Il/yVhhcsWKFzXZSU1O9cBdERI5xeTIiIokoLCyEwWBAUFCQ3S+xTz31FL777juP\\\n",
       "XXPLli0ea8sZO3bscGnPQFsjiGvWrMGAAQNs1hcEAQaDAS+88AIaNWqEcePGlXoNg8Fg8zoBAQHQ\\\n",
       "6/WmEUhvy83NRVRUlNPPfUqdN7edsPc8ap06dSrEartEJC0MhEREVVx6ejpq1KhhViYIAlq0aIGP\\\n",
       "P/4YgYGBeP7553H06FG32q9KG6JnZ2fbfMbwXjKZDAsXLnS6TVub05eoWbOmzVFHT7t69apTq6TS\\\n",
       "/5THPoT3hj9OOyUiX2EgJCKqwkRRtAqDJeXHjx9H9+7dy3yN+vXr2z2mVqsrzYiUQqEoNQy6w9EX\\\n",
       "/Rs3bnj8erYwDLrOnUB44cIF1KtXz1TeuXNnLF261OF5oigyDBKRT/EZQiKiCuzGjRvQ6XRun3/r\\\n",
       "1i0P9sa20NBQu8eKi4vNAqNMJjNtSG+PIAi4c+cORFGEKIp44403HF5fEAQEBASUeerlrFmzynS+\\\n",
       "I+vXr7dZXrduXbfbPH/+vOk5z+eff95uPVvPR1Lp3F1U5sKFC6aXrX03AWDnzp1m1ynB6aJE5AsM\\\n",
       "hEREFVhUVBRUKhX8/Pzc+rJYrVq1MvehtNGLs2fPOjx+7tw5U7gzGAzQarUwGo3Q6XRISEgwqztm\\\n",
       "zBgYjUYEBgaaymbPnm13FHLAgAEwGo0oKChAfn5+me7ltddeK/V8d/Xu3dts5KjEmTNn3G6zQYMG\\\n",
       "pt+Jzz//HBMmTLBZz5lFb8hzEhMTTa8RI0bYrNO1a1eb5RwpJCJfYCAkIqoENBoNevXq5fJ5crkc\\\n",
       "RqMRSqXS5XNv3rwJURRhNBohiiKaNm1qs567o5AKhQKXLl0yhUVRFPHFF1/YrHvu3DmzhTgUCgVE\\\n",
       "UcSaNWtMZf7+/rhz547N88+fP292L6IoIjs7G1988QVycnIchu2ShV9KRoJUKpVbo7b39qGkH46e\\\n",
       "L3TVwoULsWfPHqvyqvSMZ3lyZ4QwMTERycnJppej6aIAzH73iYh8hYGQiKiSWLJkiVvnCYIArVZr\\\n",
       "cw89e/WLi4tRvXp1s/J//vnHZv3y+jK7fPlyGAwG6HQ6u4EsMDDQbDoecDeI2RqdCw8Px5gxYxxO\\\n",
       "eQWAoKAgs2mXOp0OKpXK7ef/vLlvXZcuXWyWnz592ivXq8q4DyERSQUDIRFRBVYyInXmzBnExsaW\\\n",
       "qa0TJ04gICAAarXaNCpW8tLr9bh9+zY0Gg2MRqPdzeQvXrxYpj6UVcm+gY506dLFbDTQVhh0hb1F\\\n",
       "caKiosrUblkNHDjQqqzkvi01atQId+7cKTX80v+URyBkoCSiioCBkIioAjMajdBoNGjYsGGZ25o1\\\n",
       "axaKioogiqJVMJDL5ahWrVqp0wvvu+8+q3PthUdfK48v2Tdv3vT6NexZvXq1zfJ+/frZLA8MDERO\\\n",
       "To4Xe1S1eDMQNmnSxGb5xIkTPdBzIiLXcNsJIiIJyMjIMO2dp9Vqy7TUfU5ODmQymWmq6NWrVz3W\\\n",
       "z4ooNDQUubm5No85s2+hNzVv3hwnTpwwK1u3bp1vOlPFeHMfwpMnT7rTJSIir+AIIRGRBFiuanjp\\\n",
       "0qUytTdkyBAAQEBAACIjI8vUVkX31ltv2T3m62mjX3/9tc3ysmxVQkRE0sJASEQkAefPnzd7X9bn\\\n",
       "6r777jskJyfbXdWzKnn55ZftjgKGhYWVc2/MtWnTxmZ5cHBwOfek6uGiMkQkFQyERESV1OXLl03b\\\n",
       "IchkMhw7dszpc+0tPuIsnU6H+Ph4yXwRzs7ONlvERRAEZGRk+LBHjmk0GuTl5fm6G5UaAyERSQUD\\\n",
       "IRFRJZSeno6EhARTqBNFEa1atcKBAwecbsOdQKjVahEbG4uAgACMHTvW5fPLQq/XIzMzE1euXEFB\\\n",
       "QUG57922evVq0yI/RqPR6W08vOnChQt2j1X1qbzexkBIRFLBQEhEVAnVrl3bZnnHjh1tlh8+fNiq\\\n",
       "rLTtGyx17doVarUaGRkZMBgMWLJkCbRarUttuGP37t0QBAFKpRIxMTGIj49HUFAQBg8eXKZ2DQYD\\\n",
       "qlevDplMhoCAAKfupWQbEF8zGAzYvn27w9VnSxYPIvcwEBKRVDAQEhFVQvZG9+wFgNatW2PXrl2m\\\n",
       "L65FRUUuXW/Pnj3YtWuXVXnbtm1dasdVOp3O7mbrgYGBbrdrNBqhUChw+/ZtiKKIoqIi+Pn5ud1e\\\n",
       "Cb1e79UQJooiGjRoAIVCgYcffrjUUd4vv/zSa32p6hgIiUgqGAiJiCqh/v372yzv0aOH3XM6d+5s\\\n",
       "2qzd1fBjr91Tp0651I6rrl+/brNcEAQsWbLE7XZthUlRFJGenu5WewaDAXK5HEqlEjKZDPXr17dZ\\\n",
       "TxRFbNy4EVeuXHHrOt9++63VAkGOlPe0XiIiqnwYCImIKrBp06Zh9erVKCwsNCtfs2YNzpw5A6VS\\\n",
       "aSobPHgwNm/eXK79c3Xaqatq165tNfoiCAL0er3D84qLi3Ht2jWbxwwGA4qLi20e+/33393qZ2Ji\\\n",
       "otloXXJystXKpFqtFkqlEr169UJ8fDyeffZZl6/j6jmiKNoc2aXScYSQiKSCgZCIqAKbNWsW/vOf\\\n",
       "/yAwMBCJiYlmxxo2bGh6TkwURfzwww9e64e9zc7dDVCuMBgMGDlyJGrVqoX169fDaDRCJrP/11eD\\\n",
       "Bg3g7++PWrVq2ax3+/Ztu+fWrVvXrT5mZWVZld26dQsRERHIysrCrl274OfnB4PBYDr+5Zdf4uef\\\n",
       "fzY7x9F0U71e79Yzm127djULq64GnYr40mg0pt97e6+yYiAkIqlgICQiqiQuXrzos0VCevbsabVq\\\n",
       "ZfXq1R1OUfWUkumhV65cQe/evR3WvXLlitmUSlEUMWHCBLM6/v7+ds/v3LmzW3389ttvbZbfvHkT\\\n",
       "0dHR6Nq1q80/u379+sHPzw/+/v4QhLvbhwiCgCZNmljVLcuqpmq12u1zpYqBkIikwrtzfYjI61JS\\\n",
       "UrB7926kpqaisLAQkZGRuP/++9GhQwePLJJBFYsvv3hmZWUhPz8f69evR58+fSrk5ufNmze3Kvvy\\\n",
       "yy/x6aefmt4HBATYPd/dFUT79+8PQRDcCuwajcaq7PTp01CpVLhx4waCgoLQp08f3Lp1y62+AXdH\\\n",
       "F6Ojo5GZmel2G1LEoEdEUsBASFRJrVixAp988gkOHz6M6OhoxMXFwd/fH7du3cLFixfh5+eHIUOG\\\n",
       "YMqUKYiPj/d1d8kDJk+e7OsuIDg4GEOHDvV1N+yyFa4s2fuSb++ZQ2cZjUaPBgidTodq1ap5rL2s\\\n",
       "rCwGHBe4MvLHz5WIKjNOGSWqhO6//34sWLAATz/9NFJTU3H9+nUcOXIEe/bswenTp5GXl2d61qpN\\\n",
       "mzZYu3atr7tMZfTyyy/j/fffL3M7oihi4sSJeP/996vkHnXdu3e3KrOcInrvc3z3qlGjRpmvz2BA\\\n",
       "RESVDUcIiSqh9957D0lJSXaPq9VqdOvWDd26dcM777yDy5cvl1/nyKM8Gdr0er3ZqqSvvfYa/v77\\\n",
       "b5vTLCurBQsWYMOGDWZlOp3O7P28efOszrM3VdRgMODYsWNo0aKF2Wdny99//12uIfv333/HI488\\\n",
       "gsOHD6Ndu3bldl2p4AghEUkFAyFRJeQoDFoKDw+3Wv6epGnmzJlWZW3btnVqmmVlERERYVVmeX/v\\\n",
       "vPOOVZ2QkBCb7bVp0wYnTpxAZGQk0tPT7a5uqtfr8cADD7jRY8fkcrnNEU1BENCrVy8Ad/8M3X1+\\\n",
       "kexjICQiqeCUUaIqIisrCydPnsSJEyfMXkQlbAUhrVaLSZMm+aA35jwVZuRyuVWZwWBAXl4eACAj\\\n",
       "IwM5OTlWdfr27WtVZjQacfz4cRiNRmRmZkIul2Pv3r1mdU6dOgWlUgmlUml3b0N3yGQy5OTkIDc3\\\n",
       "1+Zej5aj/iNGjPDYtekurjJKRFLBQEhUyR05cgRNmzZFbGwsmjdvjpYtW+L+++83/S9RCXurzl66\\\n",
       "dKmce2Ju9OjRDrdbAICCggK0aNECMTExWLNmjd22tmzZYrM8JiYG7733HmrWrGnz+BtvvGFV9sor\\\n",
       "r1iVderUCYIgQC6XQxAENG3aFHq93m5/3CEIAvR6PUJDQxEYGIiUlBSrOrVr1zZ7/8UXX3i0D8RA\\\n",
       "SETSwUBIVMmNHDkS9evXx759+3Dp0iWkpKSY/S9Riby8PKspjxEREfjll1981CPg3Llz+Prrr03v\\\n",
       "T58+DZlMhrS0NAB3R/cSEhIQFBSEEydOIDMzE4MGDYIgCHjrrbfM2hJFEf369bN5naKiIsyaNcvu\\\n",
       "gjK2VuJdsWKF3X7fu9G7q/r16weDwQCdTofRo0ebHSvZvP7egFGzZk2zKa27du2yalOhUNgcHQ0P\\\n",
       "D8c333yDzz//HImJiTZHG8k2BkIikgr+zUBUyV26dAk//fQTEhMTfd0VquBKnkczGo3QarUVYp/K\\\n",
       "Ro0aWZWJomh3JO9es2fPxuzZs9GoUSMUFhYiLS3NbuATBAE9e/bEzp07cfPmTbNjTZo0sfmFvmnT\\\n",
       "pti2bZuTd+IcuVyOH3/8EcDdaaFffvklvvzySxgMBtMoqS25ubn48ccf0aZNG9SpU8dmHa1WC39/\\\n",
       "f2i1WgQFBeHWrVtmC+E899xzHr0XX5oxY4bXr8FnCIlIKjhCSFTJde/eHX///bevu0GViEwmcxgG\\\n",
       "dTodpk2bhn/++cdhOzk5OahevTpkMhlkMhlUKhUaNGiArVu3oqioCAaDweGzgStWrPDIs4NnzpxB\\\n",
       "amqqw6mbq1atwk8//YTs7GwcPnwYSqUSgiCgbdu2OHnypM1z/vvf/5a5b5bsLfBUMgXVkf79+9sN\\\n",
       "g8DdP1eNRgNRFJGfn1/qqqhEREQARwiJKr2vv/4aTz31FE6ePImmTZtafQns3bu3j3pGlVVAQAD0\\\n",
       "ej1mzZqF2rVrIzU11arOm2++abVIjU6nw/nz59GjRw+r+jKZDCNHjsSnn34KhUKB6dOn49133/Xa\\\n",
       "PdyrZcuWGDhwoOl969atodVqSz3P3lYUZZGfn+/xNsk7OEJIRFLBQEhUye3fvx979+61OZohCILd\\\n",
       "KXREtnTv3t1spO3KlStQKpVme/k1a9bM7qiaPUajEV9//bXZ84LlYe/evejYsaPb54uiiI8++giv\\\n",
       "vvqqw3oxMTG4fv266RylUmnzv72qtMVHVcdASERSwSmjRJXchAkTMHToUFy/fh1Go9HsxTBI90pO\\\n",
       "TsZLL72EW7du2a2zc+dOqzK9Xo8nn3wSRqMRKSkpLodBX/n444/LFAZLvPLKKxgzZozd42q12hQG\\\n",
       "gbvhwN4WFBXhuU1yDheVISKpYCAkquRu3ryJl156CdHR0b7uClVgXbp0Qf369TF//nyEh4fjzp07\\\n",
       "NuvZWz1z9erV2LZtm8NgVJF07tzZo/srLliwAEFBQVbl9sKfQqFATEyMVflff/3lsT6RdzEQEpFU\\\n",
       "MBASVXJPPPEEtm/f7utuUAVmNBqxe/dus7Lg4GCX2ijZc68yBMKgoCCbWzM4YjQakZGRgd27d+OP\\\n",
       "P/7AkSNHcP36dWg0Guh0OhQVFWHixIlmz+iWPGtpz/Xr1822gkhMTETjxo1dvyEPMRgMyMnJ8dn1\\\n",
       "KxsGQiKSCj5DSFTJ1a9fH1OnTsWePXvQrFkzq0VlXnjhBR/1jDxBLpdDoVAgKSkJq1evhr+/v8tt\\\n",
       "bNiwwWb53r178eCDD5qVyWQym1ONFy5ciJiYGAwYMABqtbpCPAtXr149CIKAixcvmvbu69y5s81p\\\n",
       "r44MGDDAtBWELTKZDLGxsRg2bBj+/PNPJCYmIiYmxqk9/fR6PQoLC6FSqXy2B6Ber4dKpTKt6OqJ\\\n",
       "lV2JiKjqYCAkquS+/vprBAUFYefOnVZfhAVBYCCs5Er2DPztt98QEBAA4O6zca5Mh5w3b57N8i5d\\\n",
       "uliFP3th4d497A4ePIiWLVs6fX1vUKvV+Oeff6BWq8vUzjvvvOMwDAJ3/wzS0tLw9ddfY+bMmS5v\\\n",
       "51Dy5+Yrfn5+DIFu4KIyRCQVnDJKVMmlpKTYfV26dMkj1/jss89Qp04d+Pn5oX379jh06JDD+mvX\\\n",
       "rkXDhg3h5+eHZs2aYePGjWbHRVHEtGnTEBsbC39/f/To0QPJyclu9U0URYcvjUbj8tSvivSy5eWX\\\n",
       "X4YgCJg8ebJTn9H58+dtlhuNRrPVaUs2rbd0//33m71v3ry5U9ctK0dfsrVabZlH3AwGA95++22n\\\n",
       "69+8edNno3xlwcWl3FMVpozu2rWrwvaNiCoOBkKiKur69ev44IMPytzO6tWrMWnSJEyfPh1Hjx5F\\\n",
       "ixYtkJSUhKysLJv19+3bh8GDB2PUqFE4duwY+vbti759+5qtTPnBBx9gwYIFWLx4MQ4ePIjAwEAk\\\n",
       "JSXZXZmRbPvwww8hCAKCg4Nx/Phxu/UyMzPtHnvkkUcQGxuLJ5980u7I18KFC83eu/sFMzEx0Spc\\\n",
       "2vPFF1/AYDDgzp07Nq8niiI2b97sVj9KXLp0yeEzgLbwy7V0VIVA2KVLF193gYgqAQZCokpu5MiR\\\n",
       "Nl9Dhw7FrFmzytz+3LlzMXr0aIwYMQKNGzfG4sWLERAQgKVLl9qs/8knn6Bnz5549dVX0ahRI8ya\\\n",
       "NQutWrUyhQpRFDF//ny8+eab6NOnD5o3b47vvvsO6enpWLduXZn7K0V37tzB/fffD0EQMGTIELPp\\\n",
       "gefPny819GRkZGDlypV2pxVmZGRYld27WIqzunXrho8//rjUrRcEQcCYMWMgCAICAwPt9r9Xr16l\\\n",
       "XvPGjRsICAiATCaDUqnEyJEjUVBQAK1W6/J/H8OGDXOpfkXRoEEDX3ehUqoKgbBERe8fEfkWAyFR\\\n",
       "JXf79m2zV3Z2Ng4dOoQdO3bgo48+KlPbWq0WR44cQY8ePUxlMpkMPXr0wP79+22es3//frP6AJCU\\\n",
       "lGSqn5KSgoyMDLM6oaGhaN++vd02yXk//PADZDIZ/Pz84O/v75EwMHLkSKuyRx55xKrMz88PkydP\\\n",
       "Ru/evW22s379eqhUKnTr1s3h9Tp06GD2XiaT4eGHH7aqV7Ivoj3JycmIiopCUVERRFGEXq/HsmXL\\\n",
       "UKNGDfTs2RMrVqxw2I97Pfzww/j222+drl+RnD171tddqJSqUiAErO+HiKhE5XsYgojM/PLLLzbL\\\n",
       "33nnHaxbtw7PPvus221nZ2fDYDBY7XEYHR1t90tmRkaGzfolo0wl/+uoji0ajcZsZcu8vDznb0SC\\\n",
       "PLkKqK3P+sMPP8Rvv/1mel+nTh0cP34cISEhKCoqQvXq1a36kJubC0EQMHr0aGzZssXuyN/nn39u\\\n",
       "VbZo0SI0bNjQqvyZZ57B1q1bbbbTtWtXm+W5ubnYtWuX3T0XLSmVSqvnYCubli1bOpxWTFVXych/\\\n",
       "q1atcOzYMR/3hogqIo4QElVRgwcPxo4dO3zdDY+ZM2cOQkNDTa9atWr5ukuSIYoitm3bZlbWoEED\\\n",
       "FBYW4ubNmxBFESkpKQgNDYUgCAgICLAaJQYAnU6HBg0a4IknnkBxcTGWLFlitUhLw4YNbS5aY2+k\\\n",
       "07Jf9/b5+vXrdu/JlYVWDhw44PRqpiULGV2/fh3nzp1DUVGR09fxpmPHjuHSpUtubVsiZZVxdNBe\\\n",
       "n+bPn2+24BYRUQkGQqIq6u+//3Z6AQ97IiIiIJfLrRYlyczMRExMjM1zYmJiHNYv+V9X2gSAqVOn\\\n",
       "Ijc31/S6evWqy/dD7uvevbvVl0h/f39Ur17dZn1biw4pFAqEh4cDuPsM4siRI6HT6SCKInQ6HYxG\\\n",
       "I86cOWO3D/a2b3j99detytavX2+3HVfZW0DpXpcvX4afn59pum5cXBwaNmyIgIAAyOVyFBYWeqw/\\\n",
       "7kpISKgQ/agsqsKU0Xv71bVr1wrbTyLyLU4ZJarkbO1Hl5mZifXr16NXr15mx+fOnetS2yqVCq1b\\\n",
       "t8bWrVvRt29fAHef29q6dSvGjx9v85wOHTpg69atmDhxoqls8+bNpufCEhISEBMTg61bt5r2ssvL\\\n",
       "y8PBgwcxduxYu31Rq9Vl3nOOyqZWrVq4du2aU3WPHDliVeZouwpntnN48skn8fXXX1uVz5kzBzNm\\\n",
       "zDBbJbV///5O9dMZvXr1gl6vt/tlOjs7GwkJCXbPNxqNCAwMRHZ2tikQU8XnStCraEHr3kWfBEHg\\\n",
       "iCAROcRASFTJ2XsmpG3btsjKyjKNbrj7hWXSpEl46qmn0KZNG7Rr1w7z589HQUEBRowYAQAYPnw4\\\n",
       "atSogTlz5gAAXnzxRXTt2hUff/wxevXqhVWrVuHw4cP48ssvTf2YOHEiZs+ejXr16iEhIQFvvfUW\\\n",
       "4uLiTKGTKqa0tDRkZWUhKirKYb0PPvjA5vN5H3/8cZmu/8ADD9gMhMDdf7yoWbMmlixZgiFDhnh0\\\n",
       "7z2j0YjGjRvbHb2sUaOGU+1EREQgNzcXISEhHusbeU9lDoQGg8HhP1IQEd2LgZCoktu+fbtX2x80\\\n",
       "aBBu3LiBadOmISMjAy1btsSmTZtMi8JcuXIFMtn/Zp937NgRP/zwA9588028/vrrqFevHtatW4em\\\n",
       "TZua6kyePBkFBQUYM2YMcnJy0KlTJ2zatKnU7QhsKe2LmFqtrtT/Ol7RvmjGxMRAo9HY3LPQaDRi\\\n",
       "yJAhWLVqlc1z7/0dcMfKlSsdHr927RqSkpLKdA17zp49i6KiIqtn8IxGI7RardPthIaGoqioyK3f\\\n",
       "dSpflTkQAnenMRMROYOBkIhKNX78eLtTRG0tXDNgwAAMGDDAbnuCIGDmzJmYOXOmp7pYZen1eqSm\\\n",
       "pqJevXpOr4rpTaIoQqVSIT4+HmFhYUhNTcWdO3dgMBhK7V9qaqrbUyYNBoPX//GjNDVq1MCtW7fM\\\n",
       "ytLS0lxux9/fH3q93q29HKn8VNZAKIqiqT9hYWG4fft2heofEVU8XFSGqBLq2bMnDhw4UGq9/Px8\\\n",
       "vP/++/jss8/KoVfkDXK5HPfdd59Hp0B6QmpqKo4fP47bt2+bFoQpzUMPPeTwuCiK+Ne//gW5XA6Z\\\n",
       "TIbQ0FB8/PHH+P333xEdHe3zQHz79m2r0eYTJ0641ZZCoajUI9dUsZWsJHrr1i0sWLDAVP7999/7\\\n",
       "sFdEVFFxhJCoEhowYAD69euH0NBQPPbYY2jTpg3i4uLg5+eH27dv4/Tp09izZw82btyIXr164cMP\\\n",
       "P/R1l8kD9u3bh44dO/q6G27Ly8vDkiVLMGrUKJvHg4ODUVBQYFb/lVdeKa/uOWXs2LFYvHix6X1Z\\\n",
       "ntOSy+U+D7lkX2UdIbQ0YcIETJgwwdfdIKIKjIGQqBIaNWoUhg4dirVr12L16tX48ssvkZubC+Du\\\n",
       "F5PGjRsjKSkJf/31Fxo1auTj3pKnlKzUWpk988wziIiIQJ8+fczKZ8yYYRYGK6ovvvjCLBDWr1/f\\\n",
       "7bZEUURoaKjpv12qWKpKICQiKg0DIVElpVarMXToUAwdOhQAkJubi6KiIoSHh9tc8IOqhpJngizJ\\\n",
       "5XIoFApoNBq758pksgoxItW3b18MHjwYK1asgCAIuHXrFmbMmOHrbjnt77//RosWLQA4t12GI3l5\\\n",
       "edBqtVCpVJ7oGnkQAyERSQWfISSqIkJDQxETE8MwWMXNnz/fquzZZ5+FXq9HcXEx7ty5YxUuAgIC\\\n",
       "cPbsWeTk5KBr165W5zdv3hzdunXzUo9tW7lyJZRKJRISEhAdHV2hnqcLDAzEqVOnsHbtWpvH77//\\\n",
       "frP3ZV0c5t4RR6o4qsLG9EREzmAgJCKqwAYOHIiFCxciIyMDBQUFqFWrltmWBQqFwuwZ0cDAQGg0\\\n",
       "GhQVFUGn00EURRQUFKBBgwYIDg7GO++8Y6rr5+cHURTx999/Y/v27eUeygwGAy5fvgy9Xl+u1wUA\\\n",
       "pVJpc3Rv3759uHPnDho3boz+/fvbHFEtWcXxvvvuQ2xsbJkX/Hn99dfLdH6JmzdvokePHnjqqacq\\\n",
       "VMCurLwdCJVKJYMlEVUIDIRERBXY2rVrMWHCBMTGxiIiIgKLFy822xher9cjJiYGe/fuhVarhcFg\\\n",
       "gCiK8PPzsxl4nn/+edPPUgwNcrkcGo0GWq0WOp0OBoMB48ePR2RkJNauXWv1nKYgCMjOzrbZVkpK\\\n",
       "CjIyMsrcJ1eenRRFET179jQF2mrVqqF+/foIDAxEREQEtm7diu+++w5Dhgwpc7/Ie+Li4nzyDyFE\\\n",
       "RLYwEBIRVRLFxcXYvHmz1XOChYWF6NSpE9RqNZRKpcMRp3u3SdBoNDhz5ozp/dWrVz3faQ+Ty+Xo\\\n",
       "3r07OnfuDJnM9b/CiouLzabUymQyfPrpp8jKykL//v1tnhMeHo7WrVu73WdnOLMdQE5ODuRyOf74\\\n",
       "4w/o9XoYDAbk5uYiOTkZhYWFZnV/++03u+24OvJVEV8ajca0tYK9V1l5c4Tw+vXrAOCVfhMRuYqB\\\n",
       "kIioEsnLy7PaHP1eoijivffeQ35+vtWxv//+26qscePG8Pf3R0hICGrXru1WnwRBKPPiKs66cOEC\\\n",
       "tmzZgl27dkGv12PVqlVOP8P36aefut3Pw4cPu3Wes4YNG4YWLVpg7dq1OH/+PPLy8kyjvcXFxWjX\\\n",
       "rh3CwsIYGMpReTxDyOmiRFQRMBASVXJPPfUUdu3a5etuUDkxGAzQ6XSl1rt3WmkJy8VQShQXF9sM\\\n",
       "kM7o1KkTCgsLkZeXh+eff96rX2qffvpp1KlTx/ReEAQMGjQIer0eoijCYDDgzp07SE9PR3JyMpYu\\\n",
       "XYo6depArVajbdu2GD9+fJmun56eXsY7cOzEiRMYOHAgGjRogNDQUCgUCshkMvj7++Ovv/5yqS17\\\n",
       "fw5lfd5RStwJhBcuXEC9evVMr5EjR7p8TSKi8sZASFTJ5ebmokePHqhXrx7effddpKWl+bpLVAEU\\\n",
       "FxcjJCQE169fx8WLF6FUKj0+ulSnTh3s3r0bfn5+8Pf3x2effYazZ8+icePGCAkJQWBgoEsrcMpk\\\n",
       "MkyZMgXXrl3DsWPH0KVLF6hUKqhUKkyZMgXLli0r9fzAwEDExsYiMTERI0aMQEpKCvLz87F3796y\\\n",
       "3i5iY2PtruL7008/QafTQa/Xo6CgACtWrPDpVhJ37tyxWRYYGOiD3lRO7o4QXrhwwfQq7XeWU0WJ\\\n",
       "qCLgPoREldy6detw48YNLF++HN9++y2mT5+OHj16YNSoUejTpw+3oZCw/Px81KpVC6IoemX/wY0b\\\n",
       "N1qV1a9fH/v370dBQQFUKhWys7MxevRo7Nmzx+GXXqVSiUuXLqFmzZoAgBo1amDnzp3Izc1FXl4e\\\n",
       "atSo4XY/PRmGx48fj3nz5pmVhYWFoW/fvqZnGgMCAvDkk0/ikUceQXh4eKmfvSAIHg8EoiiiqKgI\\\n",
       "/v7+prLk5GRotVqPXqcqc2Ua5731EhMTTT937tzZ4/0iIvI0jhASVQGRkZGYNGkS/v77bxw8eBCJ\\\n",
       "iYkYNmwY4uLi8NJLLyE5OdnXXSQfMRgMZQqDSqXS5ihfmzZt0KhRI5vnhISEIDY2FuHh4WjQoAF2\\\n",
       "7doFo9GIU6dOWY2aqVQq5OTkQKvVmsLgvUJDQ1GrVi23FpC5lytT8RyFprlz55pt+yGTyZCZmWmz\\\n",
       "f9WqVYPBYLA7Stq4cWNotVpotVr07t3b6f45KzIy0ixo1qxZs9ye9ZSqxMREJCcnm15Lly71dZeI\\\n",
       "iErFQEhUhVy/fh2bN2/G5s2bIZfL8cgjj+Cff/5B48aNrUY1iBzx9/eHwWCAVquFXq+H0WjEkiVL\\\n",
       "0KJFC+zcudPlZ9qAuwFIo9HAaDSa/W9oaKgX7sCcM89d6vV6yGQyqNVqCIKAn376yWa9oqIiTJky\\\n",
       "BY888giKiopKHYW3de33338fp06dMm0fsX79epw+fdq5m3FSQUEBPvroI9P7yMhIm1NJybbyXlSG\\\n",
       "iMhXGAiJKjmdToeffvoJjz76KOLj47F27VpMnDgR6enp+Pbbb7FlyxasWbMGM2fO9HVXqRIQBAFL\\\n",
       "ly5FYWGh2aiXIAgYOXIkjh8/ji5dupT5GiqVqty+BIuiiK5du2LcuHEO60VFRZmNqNnbhgIA3nvv\\\n",
       "PWzYsMGp5wQFQYDBYED9+vURFhaGrKwsTJ482apeo0aNIIoiJkyYUGqbzrL8796XzzVWNt4MhPam\\\n",
       "CPNZQiLyBQZCokouNjYWo0ePRnx8PA4dOoTDhw/jueeeQ0hIiKnOQw89hGrVqvmuk1Shvfzyy6aF\\\n",
       "LYxGI0aMGOHrLnnUQw89hP3792PRokUOp57m5ORYlXkqtMpkMpw7dw63bt1CZGSkw7oLFiww+/N4\\\n",
       "88033b5u8+bN3T6XnA+F7uAehERUUTAQElVy8+bNQ3p6Oj777DO0bNnSZp1q1aohJSWlfDtGlYIg\\\n",
       "CGbTCquie6e3iqKIxo0b26xnb+Tzzz//tCormUrrbYIgYNasWXj55ZfdOn/Hjh2e7ZCElMeUUSKi\\\n",
       "ioCBkKiSGzZsmNkiF0SuKOtiLZVBRESE2fszZ87YrLdjxw6bi678+uuvpp+NRqNpb0OlUllum8W/\\\n",
       "//77Lp8zdepUm8832hqZqmyvkuc8vRnQGAiJSCqq/jcBIqJK7MEHH4RarfZa++W5Ubk3glN2djZ+\\\n",
       "+uknhyupHj161KosNTXVZl2dToepU6eavuDXqlULc+fONR0fMmSI2bk5OTmQyWR2Q6anuLKfo0ql\\\n",
       "woULF/Duu+96sUdVHwMhEUkFAyERUQW2Z88eFBcXIy0tzWvX+PDDDx0eT0lJgUKhgFwux549e+zW\\\n",
       "u3DhAvr06YNly5ZBo9FAFEUUFBQgPj4egiBAJpNBEATEx8ebrbyp1+tRv3590xdrmUyG8+fPl9rv\\\n",
       "559/HpGRkejfvz/kcrndZ/PCw8MREBBgVnbt2jW77b777rswGo0QRRFXrlwxW4jF3kqgjRs3trlt\\\n",
       "hifZGs2dMGGCqa8lL41Gg7p163q1L0REVHUwEBIRVQJxcXHIysryStu2VrwsYTQacd9995n2M+zc\\\n",
       "uTOOHTtmVa969eqoV68efv31V4wcORJ+fn6QyWQICgrClStXzOqWhKySAKhUKs32yhRFEQ0aNEBB\\\n",
       "QYHDfn/++edm77Ozs+3uIVhQUGAaaRUEAc2aNXPYtj2rVq2yeywtLQ2CIODtt9/2ymjok08+afpZ\\\n",
       "EATk5eVhwYIFHJ3yEo4QEpFUMBASEVUSkZGRXhv5uXXrls3yl156yaqsdevWZu8zMjJw+/Ztj/cp\\\n",
       "LCzM7jF7gcvRpvLFxcVYuHAh5s2bZ7YKrysaNWpU6nOXM2bMMI2G3vsq2RvU3Wm6y5cvx/79+3Ho\\\n",
       "0CEYjUYEBwe71Q45h4GQiKSCgZCIqBLx1rNqH3zwgc3ypUuXWpVZhrHOnTt7pU+ONpO39QVcEAQE\\\n",
       "BQU5bHPcuHF48cUXy9Svs2fPunWe0WjEf//7XygUCrzzzjtutfHAAw+gbdu2bp1LrmEgJCKpYCAk\\\n",
       "IqpEbK0a6QkrV660WV7atE0ASE9P93R3TPLz8+0ei4qKMv3cqVMnFBYWeq0f96pXr16Z23jrrbeQ\\\n",
       "mZnpgd7YZzAYUFhYCK1Wa/acITmHgZCIpIKBkIioEvHWF3p7i9Y4cz17IVUQBGzbtg1bt261WUel\\\n",
       "UuHll1/Gk08+afcLta3N4kucO3cOv/76K4qKirB79+5y3X7FcpEaV8XFxTmcElsWf/zxBwRBgEKh\\\n",
       "QGBgINRqNeRyOWQymSS2GfEUBkIikgrrDZeIiKjC8tYomK3n2hxN2byXvW0xpkyZgoceeggAkJmZ\\\n",
       "ibi4OBQXFwO4u/LnpUuXTM/yzZgxA/Xr17cKoP7+/navGxISgkcffdQnX8bLEsyjo6Oxc+dOs9VL\\\n",
       "PaWwsBD/93//5/F2iYio6uI/FRIRVSLefH7sq6++Mntvb+EVy9E+WyNzgiBgzpw5pvdhYWEoKioy\\\n",
       "TVvMzs42az8xMRFGoxGFhYV49dVX8eyzz+Ly5cuoXr06gLsB7M6dOzh79ixOnDiBgoIC08ItvlBU\\\n",
       "VOTWeXfu3EFGRoZXFgdKSUlBYGAgp4V6CEcIiUgqGAiJiCowg8EAnU6HmzdvYtSoUW4vaOKMMWPG\\\n",
       "oGbNmpg4cSIUCoVpNM9SnTp1zN7fvHnTqk67du3c6oO/vz8++OADLF68GPHx8ZDJZLh8+TIUCgWC\\\n",
       "g4PRqFEjtGjRwuN7/rVs2RIymQwhISGljow2bNjQrWssWLAAgYGBLp+XnZ2NFStWOFydND8/H/fd\\\n",
       "d59b/SLbGAiJSCoYCImIKjCFQgGVSoWIiAgsXbrU66M/aWlp+OSTTxyGjzVr1pi9tzWNderUqR7r\\\n",
       "08SJE2E0Gs3KcnJyoNfrPdL+nj178Pfff0MUReTn50OlUtndvmLv3r04d+6cW9fp2bOny+cMGjQI\\\n",
       "kZGRGDp0KBQKBZYsWWJVR6vVur2NBtnHQEhEUsFASERUiYSGhuLgwYPo16+fz/rQsmVLs/e2Qmqb\\\n",
       "Nm08dr1Tp07ZLHe0AqkrevXqZVUWGhpqs25Ztth49NFHXar/xx9/WIXvZ555BrGxsdDr9RBFEevX\\\n",
       "r7f7DCeVDQMhEUkFAyERUSVy6tQptGvXDj/++COmTZtW7te/fPmy2XvLkbsSMTExHrtms2bNbJbb\\\n",
       "u7ar8vLyrMrsTZe19cVfoVDgv//9Ly5duoTY2Fi71zl//rzTC/Xs27fP7ohiRkYGlEolZDIZ+vbt\\\n",
       "61R75DoGQiKSCgZCIqJKJC4uzvSzK4GwS5cuuH79OoqLi5GTk4PIyEiXrz1lyhTEx8ebldnbIF4u\\\n",
       "l7vcvj2LFy+2We7oeTxRFBEUFARBEJCYmOjyNRUK24twZ2VlmbZuCAoKQmFhIXQ6HXr27ImEhASk\\\n",
       "p6c7HB1Vq9V2p7qKooiLFy/C398fDz74oMt9JiIicgcDIRFRJfLLL7+Yfj5x4kSp9XU6HURRxM6d\\\n",
       "OxETEwO1Wo3Q0FBkZWVBFEWntyhQKpV47733rMoFQcCzzz5ret+2bVuPjdyViIqKshs8bdHr9ZDJ\\\n",
       "ZCgoKAAAXLx4EdWqVbNZt0WLFjbL7Y0QhoeHw2AwmJ43tLUtxoEDB2yeC9wNfUql0uYIk0wmQ2Ji\\\n",
       "ot1rU/niCCERSQUDIRFRJdKvXz8cPXoUqampaN26tcO6+/btszvSVWLjxo2Iiooq9br2Np8H7o7g\\\n",
       "abVaGAwGHDp0yOp4ly5dIJfL0apVq1KvY8/jjz9uVWZvhNTWNhi5ublWQbWwsNBmqFapVGUa4fz0\\\n",
       "00/dPtdVXbt2xa1bt6DRaJCdnY3XX3/d4Z8VOY+BkIikgoGQiKiSad26NerUqVPqiqMdOnRwqr3M\\\n",
       "zMxSN0m3tZLovUqeabN09OhR7N69G0ajEceOHSs1oNrz5JNPWpV98MEHZit+iqKIatWq2V0hNSws\\\n",
       "zPSZJScn251yeu3aNbf6CAAnT57ESy+95Pb5rsjJycGOHTsQFhYGlUqF8PBwvPPOO9BqtUhNTS2X\\\n",
       "PlRlDIREJBUMhEREBI1GY3P64726du3qcruvv/662XuDwYAZM2a43M4bb7xhs7xhw4ZmUy5zc3Pt\\\n",
       "tpGXl2fazL5+/fp267nzfKVOp4NKpbK7AI6n1ahRw+5KqABQu3ZtjB07tlz6UlUxEBKRVDAQEhER\\\n",
       "gLujgBEREXaP79q1q9RpqpZmzpxpVfbOO++41IbRaHR77z9XlTZSaktSUhJUKpXTK4h6wr59+0qt\\\n",
       "M3fu3HLoSdXGMEhEUsBASEREJpmZmQ6/4B49etQ0GqdQKODv749du3bZrd+uXTur9kobibRUns/E\\\n",
       "ubogTrVq1fDnn396qTf21axZs9Q6fJaQiIicwUBIRFRFabVat86z9SygJVEUYTAYUFxcjIceeshh\\\n",
       "XYPBYFqkRRAEXL9+3em+KBQKj69a6oher8eAAQOg1WpRVFSE4OBgs5EguVyObt26YdKkSVCr1Q6n\\\n",
       "qHpLSSAvjbt//nQXp4wSkVQwEBIRVVGPPfaYS/VzcnIQGxtrd1EWe0pb3EYQBOj1ehiNRhiNRgQE\\\n",
       "BDjVbmhoqMt98YQff/wRarUaAQEBuHPnjtkxo9GInTt3Yt68eT4LXAcPHnSq3oULF7zck6qNgZCI\\\n",
       "pIKBkIioinJ2KuOIESMgCALCwsKQlZXl8nX27t3rVD1XvjQXFBQgLy/PpX4oFAp8//33bm1E7yqZ\\\n",
       "TGZzewtvioiIQHJyMtq2betU/XfffdfLParaGAiJSCoYCImIqjBbi7rcq169evjmm2/calsul+PO\\\n",
       "nTtOb2/hik6dOrlUPyoqCjk5ORgyZAiSk5NRt25du3XdWTjG8lrFxcUoKiqCKIooLi7GoUOHsH79\\\n",
       "ely+fBmFhYXIyspCQkJCma5jacKECQ7vy9LPP//s0etLDQMhEUkFAyERURU2ffp0u1M6RVF0e1rh\\\n",
       "li1boNfr7e7lV1anTp1yqf6KFSvM+nLhwgWrL+kymQwGgwEajcbt6Z5nz55FZmam2YItarUabdu2\\\n",
       "Re/evREfHw9/f39ERkbi0qVLePzxx926ji2zZ892egRXFEU+Q1hGDIREJBUMhEREVZy91SaPHTvm\\\n",
       "Vnupqano3r17Wbrk0O7du822cGjcuDGOHTvmcLQzIyPDqqywsND0s1qthsFgMC3GolQqER8f71R/\\\n",
       "ZDIZduzYAVEU0aBBA2dvA4BnR+l0Oh1iYmLw2muvlVq3vKezVkUMhEQkFQyERERVXMkqn5ardT78\\\n",
       "8MMutxUeHo7atWvbPZ6WloaRI0ciISEBQUFBkMvlNr88y2QyNGjQAIcOHUJRURGKi4uxb98+BAYG\\\n",
       "okuXLgDufiFPT0/HqVOn0LJlS7z11lvYsmWLzes+88wzKCgoMCvz8/NDfn4+Tpw4geLiYqtzStun\\\n",
       "Lz4+HkajEQaDAV27di3to7Fr1KhRbp9ry/vvvw9BEPDAAw/g2rVr0Gq10Ol0yMnJwZgxYyAIgsPR\\\n",
       "QVeDTkV8aTQaiKLo8EVERM5R+LoDRETkfUajEXK5HCNGjMBXX32FhQsXurVlwuzZs22WP/HEE/jl\\\n",
       "l1+cbkcURZw/fx7t27e3W0ehUCA2NtasrGPHjjbrajQahIaGQq/Xm5UHBQWhWbNmNs9p1KiRVZkg\\\n",
       "CNi8ebNHR0C/+uorLFu2zOPbZxw8eBC1atXyaJv0P66M/HGEkIgqMwZCIiIJWbZsGZYtW+bWuUql\\\n",
       "EoMGDTIrO3fuHBo2bOiJrlm5d9poiY8++shufYPBAIVCgQsXLqBmzZrQaDTIzc1FVFQUFArrv+42\\\n",
       "b94MmUwGURRx33334dSpU1Cr1R69B+BuWLh9+zbCwsLKdU9FKhsGQiKSCgZCIiKyEhoaiscffxzh\\\n",
       "4eG4efMmWrVqhaeffhrBwcEA7o7wDRw4ED/++KNX+/HCCy9gwYIFAO4uFDNt2jSH9Q0Gg9XqnoIg\\\n",
       "oFOnTvjpp58QHByMU6dOYcCAAUhLS0NcXBzOnDmDoKAgr90DAISEhKC4uBgBAQFWo5hUMTEQEpFU\\\n",
       "MBASEZGVkSNHOnzGLi0tzethEAA+/fRTLFy4EIIguD26Jooidu/ejaioKKtjGo3G62GwhFKpRG5u\\\n",
       "rtdWZiXPYiAkIqngojJERGSltFEsd7ercIcoil6bapmdne2Vdu0JCAjwSiBUKBQ4ffo0DAYDDAYD\\\n",
       "UlJSTKO55B6uMkpEUsFASEREVn7//XeHxz296bqviKKI/Px8j7ap0+kQFBQEhUKBDz/80Op4r169\\\n",
       "PHq9r776CjqdDo0aNYJMJoNMJkOdOnWQl5eHwsJCm89PEhERlWAgJCIiK1evXnV4PCYmppx64n3V\\\n",
       "qlXzaHv+/v4oKCiAwWDA5MmTERoaanZ8586dHrmOXC5HYWEhnnnmGYd90el0+Oeff6BSqTxyXang\\\n",
       "CCERSQUDIRERWSltymjJBu9VgdFohEwmw8aNG5GRkYFhw4aZ9k+8ePGiy+0ZDAaz93l5eVAqlbh0\\\n",
       "6RK++uorZGZmut1XmUyGMWPGQKPRQK/Xw9/f36nzmjZtatq7j5zDQEhEUsF5JEREZNPVq1ft7nP3\\\n",
       "559/lnNvvEsURZtTORMTE10OUYIgWJ2j1+tRt27dMvXx4sWLuO+++8rUBjmPi8oQkVRUnX/iJSIi\\\n",
       "j6pduzaKi4utyt944w08+uijZmUdO3ZEZmYmNBoNsrOz8eyzz1aZKYo5OTku1f/rr7883oeNGzd6\\\n",
       "LAyKoljpX2q12usjdhwhJCKpYCAkIpt0Oh2mTJmCZs2aITAwEHFxcRg+fDjS09NLPfezzz5DnTp1\\\n",
       "4Ofnh/bt2+PQoUNmx4uLizFu3DiEh4cjKCgI/fr1K9M0uqps6NChiIiI8Nn1/f39IZfL4e/vD5lM\\\n",
       "BkEQ8O6775rVadKkCfbu3YuoqCioVCqEh4dj8eLFpimK976MRiNyc3PRo0cPH92R61599VWX6rdu\\\n",
       "3drjC7n83//9n0fbo9IxEBKRVDAQEpFNhYWFOHr0KN566y0cPXoUP//8M86dO4fevXs7PG/16tWY\\\n",
       "NGkSpk+fjqNHj6JFixZISkpCVlaWqc5LL72E3377DWvXrsXOnTuRnp6OJ554wtu3VCktX74cN27c\\\n",
       "gMFggFwu90kfjEYjiouL7U6d7N69u9NtCYKAkJAQbN68GTqdzlNd9Krly5e7fM6dO3c82gduZk9E\\\n",
       "RN7CQEhENoWGhmLz5s0YOHAgGjRogAceeAALFy7EkSNHcOXKFbvnzZ07F6NHj8aIESPQuHFjLF68\\\n",
       "GAEBAVi6dCkAIDc3F0uWLMHcuXPx8MMPo3Xr1li2bBn27duHAwcOlNftVToymQzr16/3dTdscvT7\\\n",
       "4IhCoUBsbKyHe+N5Wq3W5XPUarVH+7B58+Yyt2EwGBgsXcARQiKSCgZCInJabm4uBEGwu0y/VqvF\\\n",
       "kSNHzKYDymQy9OjRA/v37wcAHDlyBDqdzqxOw4YNUbt2bVMdsq1Xr1546KGHfN0NK6XtWejItWvX\\\n",
       "3D5XJpNh6NChGD58uFdXPS2Z7uoqT47oPvLII+jevbtb/ejWrRsEQYBCoYBSqfRYn6o6BkIikgoG\\\n",
       "QiJySnFxMaZMmYLBgwcjJCTEZp3s7GwYDAZER0eblUdHRyMjIwMAkJGRAZVKZRUq761ji0ajQV5e\\\n",
       "ntlLirZt24bt27f7uhtm9Ho9GjVq5Na5MpkMfn5+No999tlnEEUROp3OKvA1atQIBoMBy5cvx7ff\\\n",
       "fguDwQBRFO2uilpWlnsJOsNy+4my2rZtm+k5zvbt2zt1jkql8ti+h1LEMEhEUsBASEQAgBUrViAo\\\n",
       "KMj02r17t+mYTqfDwIEDIYoiPv/8c5/0b86cOQgNDTW9vPXFvzLo1q0bTp8+XaG+iJ49exbbtm1z\\\n",
       "61zLRWpKPPfccwDuTi21DDW//fabzXNSU1Pd6kNp8vPzXRqdW7RokVf6UeLQoUOYPHmywzpXrlyp\\\n",
       "NM9pVkTlOULIcElEvsRASEQAgN69e+P48eOmV5s2bQD8LwympqZi8+bNdkcHASAiIgJyudxqxdDM\\\n",
       "zEzExMQAAGJiYqDVaq2W8r+3ji1Tp05Fbm6u6XX16lU377RqaNSoEYxGIzQaDZYuXVohpgJ2797d\\\n",
       "reftxowZY7P83lHB+vXrmx0LCAiweY43v1Q3b9681DoGgwFxcXEYN26cV/pwr48++gjZ2dk2j128\\\n",
       "eBHx8fFe70NVVl6BkCGQiHyNgZCIAADBwcFITEw0vfz9/U1hMDk5GVu2bEF4eLjDNlQqFVq3bo2t\\\n",
       "W7eayoxGI7Zu3YoOHToAuLskv1KpNKtz7tw5XLlyxVTHFrVajZCQELMX3f3MR4wYAa1WiwULFvi6\\\n",
       "O3anfxYUFGD69Ok29/SzF2bvHd2y3HZhz549dvtga4N5Tzh58iSKiopsHrt27RoUCgUUCgWuX7/u\\\n",
       "letbUigU6N27NxISEqBQKMzCSWJiYrn0oSorj0DYqlUrD/eaiMh1DIREZJNOp0P//v1x+PBhrFix\\\n",
       "AgaDARkZGcjIyDAbBerevTsWLlxoej9p0iR89dVX+Pbbb3HmzBmMHTsWBQUFGDFiBIC7z2KNGjUK\\\n",
       "kyZNwvbt23HkyBGMGDECHTp0wAMPPFDu91nRRUVFoUaNGujVq5fd0aASEyZM8NnWFCVEUcTcuXPN\\\n",
       "ygwGA4KCgjBz5kyEhYVBrVabPV9XsgKtpfr168NgMODcuXM4evSo2bEZM2bY7cOvv/5q9l4mkyEt\\\n",
       "Lc1sP8TZs2e7emsA7o5MXrx40fQ+KysLCoUCtWrV8vgzg/aoVCqcOHECt27dQseOHXH58uVyuzY5\\\n",
       "duHCBdSrV8/0GjlypMP6x44dAwC3FgsiIvIUBkIisiktLQ2//vorrl27hpYtWyI2Ntb02rdvn6ne\\\n",
       "xYsXzYLKoEGD8NFHH2HatGlo2bIljh8/jk2bNpktNDNv3jw8+uij6NevH7p06YKYmBj8/PPP5Xp/\\\n",
       "lcWNGzeQnp6OjRs3IjIyEiqVymF9V/YE9JZXXnnF7L3l6rFarRYKhQIRERFo06YNxo4da7Ody5cv\\\n",
       "Q6lUomHDhlbH7g1llgRBgMFgwKZNm3Dz5k3TNM57vfHGG26HqMTERNOoUHR0tNvtKJVKnDhxArdv\\\n",
       "38Yjjzzi1DlXrlyBRqNBs2bNEBQUhA8++MCta1Pp3B0hvHDhgum1bNkyh+0DwMCBA71+L0REjih8\\\n",
       "3QEiqpjq1Knj1L9aX7582aps/PjxGD9+vN1z/Pz88Nlnn+Gzzz4rSxclSafToVOnTnanTHbr1g1/\\\n",
       "/vmnV/swd+5cDB06FH379jX7x4ESlr839lbovHnzJm7evOnwWvZ+B0sLYTKZDElJSaXWuX37NsLC\\\n",
       "whzW8wa1Wo3i4mLT+w0bNqBnz574448/7J6zd+9eq8WUZDIZ5HI5Rwi9wJWpoPfWu3e6bufOnW3W\\\n",
       "v3ckf/Xq1W72kIjIMxgIiYgqmb1799o9ptFovHbdkpG3ki+/e/fuRVJSks0AKoqiqZ6tEb6yKm2k\\\n",
       "1Fn29tT0NluLIq1du9bhs7EdO3a0Wd6lS5cKtxVJVeBOIExMTERycnKp9Y1Go9W5977//vvvMWTI\\\n",
       "EBd6S0TkPk4ZJSKqQm7duuW1tleuXGn15XXDhg2lnueNFVDd2RfQHrVa7bG2nBUREWFV5u/vb7e+\\\n",
       "o2AyadIkj/SJzHlzUZkmTZo4PM4wSETliSOEREQVmKuLTSxYsKBcVxtVKBRO9bEiL5px79RNX3L2\\\n",
       "s7T06KOPVujPt7Jyd8qoM06ePGm3Df5ZElF54wghERERERGRRHGEkIiIiMiCN0cIbeHIIBH5CgMh\\\n",
       "ERERkYXyDoRERL7CQEhERERkgYGQiKSCgZCIiIjIAgMhEUkFAyERERGRBQZCIpIKrjJKREREREQk\\\n",
       "URwhJCIiIrLAEUIikgoGQiIiIiILDIREJBUMhEREREQWGAiJSCoYCImIiIgsMBASkVQwEBIRERHZ\\\n",
       "wKBHRFLAVUaJiIiIiIgkiiOERERERBY4ZZSIpIKBkIiIiMgCAyERSQUDIREREZEFBkIikgoGQiIi\\\n",
       "IiILDIREJBUMhEREREQWGAiJSCoYCImIiIgsMBASkVRw2wkiIiIiIiKJ4gghERERkQWOEBKRVDAQ\\\n",
       "EhEREVlgICQiqWAgJCIiIrLAQEhEUsFASERERGSBgZCIpIKBkIiIiMgCAyERSQVXGSUiIiIiIpIo\\\n",
       "jhASERERWeAIIRFJBQMhERERkQUGQiKSCgZCIiIiIgsMhEQkFQyERERERBYYCIlIKhgIiYiIiCww\\\n",
       "EBKRVHCVUSIiIiIiIoniCCERERGRBY4QEpFUMBASERER2cCgR0RSwEBIREREZIEjhEQkFQyERERE\\\n",
       "RBYYCIlIKhgIiYiIiCwwEBKRVDAQEhEREVlgICQiqeC2E0RERERERBLFEUIiIiIiCxwhJCKpYCAk\\\n",
       "IiIissBASERSwUBIREREZIGBkIikgoGQiIiIyAIDIRFJBQMhERERkQUGQiKSCq4ySkREREREJFEc\\\n",
       "ISQiIiKy4M0RQnv1RVF0qR0iIk/gCCERERGRhZJA6OzLEzp27OiRdoiIXMFASERERGTBm4FQFEWz\\\n",
       "V1BQEABg//793rgVIiKHOGWUiKq8GTNm+LoLRFTJuDNl9MKFC6hXr56pvHPnzli6dGmp59+5c8e9\\\n",
       "ThIReQADIREREZEFd58hvHDhgtnPpQXCXbt2mX7mM4RE5AsMhEREREQekpiYaPq5c+fOpdbv2rUr\\\n",
       "AEAul3utT0REjjAQEhEREVlwZ4QwMTERycnJLl2jhF6vd62DREQewkVliMgpzz33HARBwPz580ut\\\n",
       "+9lnn6FOnTrw8/ND+/btcejQIbPjxcXFGDduHMLDwxEUFIR+/fohMzPTSz0nInKdNxeVSU1NNTuH\\\n",
       "U0WJyJcYCImoVL/88gsOHDiAuLi4UuuuXr0akyZNwvTp03H06FG0aNECSUlJyMrKMtV56aWX8Ntv\\\n",
       "v2Ht2rXYuXMn0tPT8cQTT3jzFoiIXOLNQFinTh3Tz2q1Gn5+fvDz88Ojjz7q4bsgIiodAyEROZSW\\\n",
       "loYJEyZgxYoVUCqVpdafO3cuRo8ejREjRqBx48ZYvHgxAgICTAsr5ObmYsmSJZg7dy4efvhhtG7d\\\n",
       "GsuWLcO+fftw4MABb98OEZHTymMPQo1GY3pt2LDBQz0nInIeAyER2WU0GjFs2DC8+uqraNKkSan1\\\n",
       "tVotjhw5gh49epjKZDIZevToYdpf68iRI9DpdGZ1GjZsiNq1a3MPLiKqMMpzH8J7X0RE5Y2LyhCR\\\n",
       "Xe+//z4UCgVeeOEFp+pnZ2fDYDAgOjrarDw6Ohpnz54FAGRkZEClUqFatWpWdTIyMuy2XfIv6CXy\\\n",
       "8vKcvAsiIiIisocjhEQEAFixYgWCgoJMr507d+KTTz7BN998U+YpUZ4wZ84chIaGml61atXydZeI\\\n",
       "qArz5gghEVFFwkBIRACA3r174/jx46bXvn37kJWVhdq1a0OhUEChUCA1NRUvv/yy2YII94qIiIBc\\\n",
       "LrdaMTQzMxMxMTEAgJiYGGi1WuTk5NitY8vUqVORm5trel29erVM90tE5AgDIRFJBaeMEhEAIDg4\\\n",
       "GMHBwab3Y8aMwWOPPWZWJykpCcOGDcOIESNstqFSqdC6dWts3boVffv2BXD3OcStW7di/PjxAIDW\\\n",
       "rVtDqVRi69at6NevHwDg3LlzuHLlCjp06GC3f2q1Gmq1uiy3SETkNHf2ISQiqowYCInIpvDwcISH\\\n",
       "h5uVKZVKxMTEoEGDBqay7t274/HHHzcFvkmTJuGpp55CmzZt0K5dO8yfPx8FBQWmEBkaGopRo0Zh\\\n",
       "0qRJqF69OkJCQjBhwgR06NABDzzwQPndIBGRAwyERCQVDIREVCYXL15Edna26f2gQYNw48YNTJs2\\\n",
       "DRkZGWjZsiU2bdpkttDMvHnzIJPJ0K9fP2g0GiQlJWHRokW+6D4RkU0MhEQkFQyEROS0y5cvO1U2\\\n",
       "fvx404ihLX5+fvjss8/w2WefebB3RESew0BIRFLBRWWIiIiIiIgkiiOERERERBY4QkhEUsFASERE\\\n",
       "RGSBgZCIpIKBkIiIiMgCAyERSQUDIREREZEFBkIikgoGQiIiIiILDIREJBVcZZSIiIiIiEiiOEJI\\\n",
       "REREZIEjhEQkFQyERERERBYYCIlIKhgIiYiIiCwwEBKRVDAQEhEREVlgICQiqWAgJCIiIrLAQEhE\\\n",
       "UsFVRomIiIiIiCSKI4REVCmJoujrLhBRBVeW/5/Iz893euQvPz/f7esQEfkaAyERVUr5+fmYMWOG\\\n",
       "r7tBRBVYfn4+QkNDXTqnVatWuHDhAmrVquXy9Vq1auXyOUREviaI/Gd2IqqEjEYj0tPTERwcLOnn\\\n",
       "d/Ly8lCrVi1cvXoVISEhvu6Oz/BzuIufw12iKCI/Px9xcXGQyVx/OmbQoEE4evSoS+e0atUKq1ev\\\n",
       "dvlaRES+xkBIRFSJ5eXlITQ0FLm5uZIOAPwc7uLnQEREruKiMkRERERERBLFQEhERERERCRRDIRE\\\n",
       "RJWYWq3G9OnToVarfd0Vn+LncBc/ByIichWfISQiIiIiIpIojhASERERERFJFAMhERERERGRRDEQ\\\n",
       "EhERERERSRQDIRFRBaLT6TBlyhQ0a9YMgYGBiIuLw/Dhw5Genl7quZ999hnq1KkDPz8/tG/fHocO\\\n",
       "HTI7XlxcjHHjxiE8PBxBQUHo168fMjMzvXUrZVLavVhau3YtGjZsCD8/PzRr1gwbN240Oy6KIqZN\\\n",
       "m4bY2Fj4+/ujR48eSE5O9uYtlNmcOXPQtm1bBAcHIyoqCn379sW5c+dKPa8qfhZEROQ9DIRERBVI\\\n",
       "YWEhjh49irfeegtHjx7Fzz//jHPnzqF3794Oz1u9ejUmTZqE6dOn4+jRo2jRogWSkpKQlZVlqvPS\\\n",
       "Sy/ht99+w9q1a7Fz506kp6fjiSee8PYtucyZe7nXvn37MHjwYIwaNQrHjh1D37590bdvX5w8edJU\\\n",
       "54MPPsCCBQuwePFiHDx4EIGBgUhKSkJxcXF53ZbLdu7ciXHjxuHAgQPYvHkzdDod/v3vf6OgoMDu\\\n",
       "OVX1syAiIi8SiYioQjt06JAIQExNTbVbp127duK4ceNM7w0GgxgXFyfOmTNHFEVRzMnJEZVKpbh2\\\n",
       "7VpTnTNnzogAxP3793uv824o7V4sDRw4UOzVq5dZWfv27cVnn31WFEVRNBqNYkxMjPjhhx+ajufk\\\n",
       "5IhqtVpcuXKlF+7AO7KyskQA4s6dO+3WkcpnQUREnsMRQiKiCi43NxeCIKBatWo2j2u1Whw5cgQ9\\\n",
       "evQwlclkMvTo0QP79+8HABw5cgQ6nc6sTsOGDVG7dm1TnYrAmXuxtH//frP6AJCUlGSqn5KSgoyM\\\n",
       "DLM6oaGhaN++fYW699Lk5uYCAKpXr263jlQ+CyIi8hwGQiKiCqy4uBhTpkzB4MGDERISYrNOdnY2\\\n",
       "DAYDoqOjzcqjo6ORkZEBAMjIyIBKpbIKlffWqQicuRdLGRkZpd57SZmzbVY0RqMREydOxIMPPoim\\\n",
       "TZvarSeFz4KIiDyLgZCIyIdWrFiBoKAg02v37t2mYzqdDgMHDoQoivj888992EvytXHjxuHkyZNY\\\n",
       "tWqVr7tCRERVjMLXHSAikrLevXujffv2pvc1atQA8L8wmJqaim3bttkdHQSAiIgIyOVyqxVDMzMz\\\n",
       "ERMTAwCIiYmBVqtFTk6O2SjhvXUqAmfuxVJMTEyp915SFhsba1anZcuWHuy9d4wfPx6///47du3a\\\n",
       "hZo1azqsW9U/CyIi8jyOEBIR+VBwcDASExNNL39/f1MYTE5OxpYtWxAeHu6wDZVKhdatW2Pr1q2m\\\n",
       "MqPRiK1bt6JDhw4AgNatW0OpVJrVOXfuHK5cuWKqUxE4cy+WOnToYFYfADZv3myqn5CQgJiYGLM6\\\n",
       "eXl5OHjwYIW6d0uiKGL8+PH45ZdfsG3bNiQkJJR6TlX9LIiIyIt8vaoNERH9j1arFXv37i3WrFlT\\\n",
       "PH78uHj9+nXTS6PRmOo9/PDD4qeffmp6v2rVKlGtVovffPONePr0aXHMmDFitWrVxIyMDFOd5557\\\n",
       "Tqxdu7a4bds28fDhw2KHDh3EDh06lOv9OaO0exk2bJj42muvmerv3btXVCgU4kcffSSeOXNGnD59\\\n",
       "uqhUKsV//vnHVOe9994Tq1WrJq5fv148ceKE2KdPHzEhIUEsKioq9/tz1tixY8XQ0FBxx44dZr8H\\\n",
       "hYWFpjpS+SyIiMh7GAiJiCqQlJQUEYDN1/bt20314uPjxenTp5ud++mnn4q1a9cWVSqV2K5dO/HA\\\n",
       "gQNmx4uKisTnn39eDAsLEwMCAsTHH39cvH79ejnclesc3UvXrl3Fp556yqz+mjVrxPr164sqlUps\\\n",
       "0qSJuGHDBrPjRqNRfOutt8To6GhRrVaL3bt3F8+dO1cet+I2e78Hy5YtM9WRymdBRETeI4iiKPpm\\\n",
       "bJKIiIiIiIh8ic8QEhERERERSRQDIRERERERkUQxEBIREREREUkUAyEREREREZFEMRASERERERFJ\\\n",
       "FAMhERERERGRRDEQEhERERERSRQDIRERERERkUQxEBIRUaWwZMkS/Pvf//b6dTZt2oSWLVvCaDR6\\\n",
       "/VpERES+xkBIREQVXnFxMd566y1Mnz7d69fq2bMnlEolVqxY4fVrERER+RoDIRERVXg//vgjQkJC\\\n",
       "8OCDD5bL9Z5++mksWLCgXK5FRETkSwyERERUbm7cuIGYmBi8++67prJ9+/ZBpVJh69atds9btWoV\\\n",
       "HnvsMbOybt26YeLEiWZlffv2xdNPP216X6dOHcyePRvDhw9HUFAQ4uPj8euvv+LGjRvo06cPgoKC\\\n",
       "0Lx5cxw+fNisncceewyHDx/GxYsX3b9ZIiKiSoCBkIiIyk1kZCSWLl2Kt99+G4cPH0Z+fj6GDRuG\\\n",
       "8ePHo3v37nbP27NnD9q0aePWNefNm4cHH3wQx44dQ69evTBs2DAMHz4cQ4cOxdGjR1G3bl0MHz4c\\\n",
       "oiiazqlduzaio6Oxe/dut65JRERUWTAQEhFRuXrkkUcwevRoDBkyBM899xwCAwMxZ84cu/VzcnKQ\\\n",
       "m5uLuLg4t6/37LPPol69epg2bRry8vLQtm1bDBgwAPXr18eUKVNw5swZZGZmmp0XFxeH1NRUt65J\\\n",
       "RERUWTAQEhFRufvoo4+g1+uxdu1arFixAmq12m7doqIiAICfn59b12revLnp5+joaABAs2bNrMqy\\\n",
       "srLMzvP390dhYaFb1yQiIqosGAiJiKjcXbx4Eenp6TAajbh8+bLDuuHh4RAEAbdv3y61XYPBYFWm\\\n",
       "VCpNPwuCYLfMcpuJW7duITIystRrEhERVWYMhEREVK60Wi2GDh2KQYMGYdasWXjmmWesRufupVKp\\\n",
       "0LhxY5w+fdrqmOU0z0uXLnmkj8XFxbh48SLuv/9+j7RHRERUUTEQEhFRuXrjjTeQm5uLBQsWYMqU\\\n",
       "Kahfvz5Gjhzp8JykpCTs2bPHqnz9+vX4+eefcfHiRbzzzjs4ffo0UlNTkZaWVqY+HjhwAGq1Gh06\\\n",
       "dChTO0RERBUdAyEREZWbHTt2YP78+Vi+fDlCQkIgk8mwfPly7N69G59//rnd80aNGoWNGzciNzfX\\\n",
       "rLxXr1744IMP0LhxY+zatQuLFi3CoUOHsHz58jL1c+XKlRgyZAgCAgLK1A4REVFFJ4j3rrNNRERU\\\n",
       "QQ0YMACtWrXC1KlTAdzdh7Bly5aYP3++R6+TnZ2NBg0a4PDhw0hISPBo20RERBUNRwiJiKhS+PDD\\\n",
       "DxEUFOT161y+fBmLFi1iGCQiIkngCCEREVVK3hohJCIikhIGQiIiIiIiIonilFEiIiIiIiKJYiAk\\\n",
       "IiIiIiKSKAZCIiIiIiIiiWIgJCIiIiIikigGQiIiIiIiIoliICQiIiIiIpIoBkIiIiIiIiKJYiAk\\\n",
       "IiIiIiKSKAZCIiIiIiIiiWIgJCIiIiIikigGQiIiIiIiIoliICQiIiIiIpIoBkIiIiIiIiKJYiAk\\\n",
       "IiIiIiKSqP8HmTvxsqKV7L8AAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[30] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAdWxJREFUeJzt3Xd4FNXiPvB3tqY3CAkBAgm9dxBFQYhERSEKiChFRFAEFfEq\\\n",
       "IkgTRVFpKmKnXKQEFa8NRbrSJGChCkmoIYWSQtq2+f3BL/Nla3Y3u9ks836eZ5+bPXPOzJkFL/vm\\\n",
       "nDlHEEVRBBEREREREcmOwtcdICIiIiIiIt9gICQiIiIiIpIpBkIiIiIiIiKZYiAkIiIiIiKSKQZC\\\n",
       "IiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIpBkIiIiIiIiKZYiAkIiIiIiKSKQZC\\\n",
       "IiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIpBkIiInLL9u3bIQgCtm/f7uuukIft\\\n",
       "378fGo0GZ86cqfZrX758GcHBwfjxxx+r/dpERHLEQEhERA4tXboUy5cv93U33PLll19i0aJFvu4G\\\n",
       "AMBkMmH+/PlISEhAQEAA2rVrhzVr1jjdPj8/H+PGjUN0dDSCg4Nx55134uDBg1b11q1bh+HDh6Np\\\n",
       "06YQBAG9e/d2ua/Tpk3DsGHD0LBhQ5fbVlWtWrXwxBNP4NVXX632axMRyZEgiqLo604QEVHN1aZN\\\n",
       "G9SuXdtqJNBkMkGn00Gj0UChqJm/X7zvvvtw+PBhnD592tddwdSpU/Hmm29i7Nix6Nq1K7799lv8\\\n",
       "8MMPWLNmDR5++GGHbU0mE26//Xb89ddfePHFF1G7dm0sXboU586dQ1paGpo2bSrV7d27N9LS0tC1\\\n",
       "a1f8+eefaNeunUujuH/++Sc6duyI3bt3o0ePHu7ebpUcO3YMrVq1wpYtW9CnTx+f9IGISC4YCImI\\\n",
       "nFBcXIzg4GBfd8Mn7AVCf1BTAuGFCxeQkJCAcePG4f333wcAiKKIXr16ITMzE6dPn4ZSqbTbfv36\\\n",
       "9Rg6dChSU1MxePBgAEBeXh6aNWuGe+65B19++aVU99y5c6hXrx4UCoVbf3bPPfccNm7ciNOnT0MQ\\\n",
       "BPdu2APatm2Ljh07YuXKlT7rAxGRHNTMX+kSEXnRhQsXMGbMGMTFxUGr1SIhIQHjx4+HTqcDACxf\\\n",
       "vhyCIGDHjh14+umnUadOHdSvX19qv3TpUrRu3RparRZxcXGYMGEC8vPzza5x8uRJDBo0CLGxsQgI\\\n",
       "CED9+vXx8MMPo6CgQKqzefNm9OzZExEREQgJCUHz5s3xyiuvVNp/Z9qVl5dj5syZaNKkCbRaLRo0\\\n",
       "aICXXnoJ5eXlVuf773//i27duiEoKAiRkZG444478MsvvwAAGjVqhCNHjmDHjh0QBMFsCqK9ZwhT\\\n",
       "U1PRuXNnBAYGonbt2hg+fDguXLhgVuexxx5DSEgILly4gJSUFISEhCA6Ohr/+c9/YDQaK/0Mvv32\\\n",
       "W/Tv31/6M2zcuDFee+01s7a9e/fGDz/8gDNnzkh9b9Sokd1zPvbYY1I9y9esWbMq7VNl/dXr9Xj6\\\n",
       "6aelMkEQMH78eJw/fx579uxx2H7Dhg2IiYnBgw8+KJVFR0fjoYcewrfffmv259qgQYMqjdhu3LgR\\\n",
       "ffr0sQqD9j6HRo0a4bHHHpPeV/z389tvv+HZZ59FdHQ0IiIi8OSTT0Kn0yE/Px8jR45EZGQkIiMj\\\n",
       "8dJLL8HW76bvuusufPfddzaPERGR56h83QEiouqUlZWFbt26Sc9jtWjRAhcuXMCGDRtQUlICjUYj\\\n",
       "1X366acRHR2NGTNmoLi4GAAwa9YszJ49G0lJSRg/fjxOnDiBDz/8EH/88Qd+//13qNVq6HQ6JCcn\\\n",
       "o7y8HM888wxiY2Nx4cIFfP/998jPz0d4eDiOHDmC++67D+3atcOcOXOg1Wpx6tQp/P777w7770w7\\\n",
       "k8mEAQMG4LfffsO4cePQsmVL/PPPP1i4cCH+/fdfbNy4Uao7e/ZszJo1C7feeivmzJkDjUaDffv2\\\n",
       "YevWrejXrx8WLVqEZ555BiEhIZg2bRoAICYmxm7/li9fjtGjR6Nr166YN28ecnJysHjxYvz+++84\\\n",
       "dOgQIiIipLpGoxHJycno3r073nnnHfz6669499130bhxY4wfP97h57B8+XKEhIRg8uTJCAkJwdat\\\n",
       "WzFjxgwUFhbi7bffBnD9ObiCggKcP38eCxcuBACEhITYPeeTTz6JpKQks7JNmzZh9erVqFOnjlR2\\\n",
       "6dIlh32rEBoaCq1WCwA4dOgQgoOD0bJlS7M63bp1k4737NnT7rkOHTqETp06WQW9bt264eOPP8a/\\\n",
       "//6Ltm3bOtUvRy5cuICzZ8+iU6dOVT5Xxd/92bNnY+/evfj4448RERGB3bt3Iz4+Hm+88QZ+/PFH\\\n",
       "vP3222jTpg1Gjhxp1r5z585YuHAhjhw5gjZt2lS5P0REZIdIRCQjI0eOFBUKhfjHH39YHTOZTKIo\\\n",
       "iuIXX3whAhB79uwpGgwG6Xhubq6o0WjEfv36iUajUSp///33RQDi559/LoqiKB46dEgEIKamptrt\\\n",
       "x8KFC0UAYl5enkv9d6bdqlWrRIVCIe7atcusfNmyZSIA8ffffxdFURRPnjwpKhQK8YEHHjC7H1H8\\\n",
       "v89CFEWxdevWYq9evayus23bNhGAuG3bNlEURVGn04l16tQR27RpI5aWlkr1vv/+exGAOGPGDKls\\\n",
       "1KhRIgBxzpw5Zufs2LGj2LlzZ8cfgiiKJSUlVmVPPvmkGBQUJJaVlUll/fv3Fxs2bFjp+Ww5efKk\\\n",
       "GB4eLt51111mfw8AOPX64osvzPqRmJhodY3i4mIRgPjyyy877EtwcLD4+OOPW5X/8MMPIgBx06ZN\\\n",
       "NtvZ+7Oz59dffxUBiN99953VMQDizJkzrcobNmwojho1Snpf8d9PcnKy2d+jHj16iIIgiE899ZRU\\\n",
       "ZjAYxPr169vs4+7du0UA4rp165zuPxERuY5TRolINkwmEzZu3Ij7778fXbp0sTpuOUVu7NixZs91\\\n",
       "/frrr9DpdJg0aZLZSM3YsWMRFhaGH374AQAQHh4OAPj5559RUlJisy8VI2XffvstTCaT0/fgTLvU\\\n",
       "1FS0bNkSLVq0wKVLl6RXxeIc27ZtA3B9aqDJZMKMGTOsRp7ceXbswIEDyM3NxdNPP42AgACpvH//\\\n",
       "/mjRooX0+dzoqaeeMnt/++23IyMjo9JrBQYGSj8XFRXh0qVLuP3221FSUoLjx4+73HdLxcXFeOCB\\\n",
       "BxAZGYk1a9aY/T3YvHmzU6/k5GSpTWlpqTRaeKOKz6m0tNRhf6ra3lmXL18GAERGRlb5XGPGjDH7\\\n",
       "e9S9e3eIoogxY8ZIZUqlEl26dLH5Z17RB2dHZImIyD2cMkpEspGXl4fCwkKnp58lJCSYva/Yk615\\\n",
       "8+Zm5RqNBomJidLxhIQETJ48GQsWLMDq1atx++23Y8CAARg+fLgUFocOHYpPP/0UTzzxBF5++WX0\\\n",
       "7dsXDz74IAYPHuzw+S9n2p08eRLHjh1DdHS0zXPk5uYCANLT06FQKNCqVSunPo/K2Pt8AKBFixb4\\\n",
       "7bffzMoCAgKs+hgZGYmrV69Weq0jR45g+vTp2Lp1KwoLC82O3ficprvGjh2L9PR07N69G7Vq1TI7\\\n",
       "Zjmt1BmBgYE2n98sKyuTjnuzvatEDzy3Fx8fb/a+4u9+gwYNrMpt/ZlX9MGXC9sQEckBAyERkR1V\\\n",
       "+ZL97rvv4rHHHsO3336LX375Bc8++yzmzZuHvXv3on79+ggMDMTOnTuxbds2/PDDD9i0aRPWrVuH\\\n",
       "Pn364JdffrG74qQz7UwmE9q2bYsFCxbYPIflF3JfcbSqpiP5+fno1asXwsLCMGfOHDRu3BgBAQE4\\\n",
       "ePAgpkyZ4tKIqy2LFy/GmjVr8N///hcdOnSwOp6dne3UecLDw6W/Q3Xr1sW2bdsgiqJZwLl48SIA\\\n",
       "IC4uzuG56tatK9W9kbPtnVURfp0J5RXshUd7f762ym2do6IPtWvXdrovRETkOk4ZJSLZiI6ORlhY\\\n",
       "GA4fPuxW+4pNuk+cOGFWrtPpkJmZabWJd9u2bTF9+nTs3LkTu3btwoULF7Bs2TLpuEKhQN++fbFg\\\n",
       "wQIcPXoUr7/+OrZu3SpN6bSnsnaNGzfGlStX0LdvXyQlJVm9KkbwGjduDJPJhKNHjzq8nrMjNPY+\\\n",
       "n4oyT21yvn37dly+fBnLly/Hc889h/vuuw9JSUk2pzm6Orq0a9cu/Oc//8GkSZPw6KOP2qxTt25d\\\n",
       "p17r1q2T2nTo0AElJSU4duyY2bn27dsnHXekQ4cOOHjwoFXY3bdvH4KCgtCsWTOX7tOeFi1aAAAy\\\n",
       "MzNtHi8qKrIqqxhx9rSKPlguxENERJ7FQEhEsqFQKJCSkoLvvvsOBw4csDpe2TS5pKQkaDQaLFmy\\\n",
       "xKzuZ599hoKCAvTv3x8AUFhYCIPBYNa2bdu2UCgU0rS/K1euWJ2/IhTYmhpYwZl2Dz30EC5cuIBP\\\n",
       "PvnEqm5paam0YmpKSgoUCgXmzJljFTRuvL/g4GCrbTVs6dKlC+rUqYNly5aZ3cNPP/2EY8eOSZ9P\\\n",
       "VVWMMN3YR51Oh6VLl1rVDQ4OdnoK6cWLF/HQQw+hZ8+e0kqltrjzDOHAgQOhVqvN+iiKIpYtW4Z6\\\n",
       "9erh1ltvNevH8ePHodfrpbLBgwcjJycHX3/9tVR26dIlpKam4v7777f5fKE76tWrhwYNGtj87wOA\\\n",
       "1RYjP/30E8rKyryyNURaWhrCw8PRunVrj5+biIj+D6eMEpGsvPHGG/jll1/Qq1cvaUuGixcvIjU1\\\n",
       "Fb/99pvZtgiWoqOjMXXqVMyePRt33303BgwYgBMnTmDp0qXo2rUrhg8fDgDYunUrJk6ciCFDhqBZ\\\n",
       "s2YwGAxYtWoVlEolBg0aBACYM2cOdu7cif79+6Nhw4bIzc3F0qVLUb9+fYfbDzjTbsSIEVi/fj2e\\\n",
       "euopbNu2DbfddhuMRiOOHz+O9evX4+eff0aXLl3QpEkTTJs2Da+99hpuv/12PPjgg9Bqtfjjjz8Q\\\n",
       "FxeHefPmAbi+/P+HH36IuXPnokmTJqhTp460QM2N1Go13nrrLYwePRq9evXCsGHDpG0nGjVqhOef\\\n",
       "f97dPzYzt956KyIjIzFq1Cg8++yzEAQBq1atshlKOnfujHXr1mHy5Mno2rUrQkJCcP/999s877PP\\\n",
       "Pou8vDy89NJLWLt2rdmxdu3aoV27dgDce4awfv36mDRpEt5++23o9Xp07doVGzduxK5du7B69Wqz\\\n",
       "aZRTp07FihUrkJmZKe2bOHjwYNxyyy0YPXo0jh49itq1a2Pp0qUwGo2YPXu22bV27tyJnTt3Arj+\\\n",
       "3GxxcTHmzp0LALjjjjtwxx13OOzrwIED8c0331hNbwWAY8eO4d5778WAAQOQlZWFxYsXIzw8HLt3\\\n",
       "78aaNWswbNgwlz8bezZv3oz777+fzxASEXmbL5Y2JSLypTNnzogjR44Uo6OjRa1WKyYmJooTJkwQ\\\n",
       "y8vLRVH8v2XzbW1NIYrXt5lo0aKFqFarxZiYGHH8+PHi1atXpeMZGRni448/LjZu3FgMCAgQo6Ki\\\n",
       "xDvvvFP89ddfpTpbtmwRBw4cKMbFxYkajUaMi4sThw0bJv77778O++5sO51OJ7711lti69atRa1W\\\n",
       "K0ZGRoqdO3cWZ8+eLRYUFJjV/fzzz8WOHTtK9Xr16iVu3rxZOp6dnS32799fDA0NFQFIWwRYbjtR\\\n",
       "Yd26ddL5oqKixEcffVQ8f/68WZ1Ro0aJwcHBVvc3c+ZM0Zl/mn7//XfxlltuEQMDA8W4uDjxpZde\\\n",
       "En/++Wer/ly7dk185JFHxIiICBGAwy0oevXqZXcLCVvbLbjKaDSKb7zxhtiwYUNRo9GIrVu3Fv/7\\\n",
       "3/9a1avYkiMzM9Os/MqVK+KYMWPEWrVqiUFBQWKvXr1s/h2t+AzdvY+DBw+KAKy2LQEgTp48WRwy\\\n",
       "ZIgYGBgo1q1bV3z//ffFZcuWiUFBQeITTzwhiqL9/34q+mW5ZYqtvwvHjh0TAZj9N0NERN4hiKIX\\\n",
       "5nkQERGR3+rbty/i4uKwatUqqUwQBMycOROzZs3y+vUnTZqEnTt3Ii0tjSOERERexmcIiYiIyMwb\\\n",
       "b7yBdevWSVuJVKfLly/j008/xdy5cxkGiYiqAZ8hJCIiIjPdu3eHTqfzybVr1aqFa9eu+eTaRERy\\\n",
       "xBFCIiIiIiIimeIIIREREVWKSw4QEd2cOEJIREREREQkUwyEREREREREMsUpo0Tkl0wmE7KyshAa\\\n",
       "GsqVCInIjCiKKCoqQlxcHBQK13/3PXjwYBw6dMilNh07dsSGDRtcvhYRka9xH0Ii8kvnz5/Hp59+\\\n",
       "6utuEFENNXv2bJw7dw7169d3qd3gwYPx1VdfuXXNQYMGMRQSkd/hCCER+aXQ0FAA4OggEdlV8f8T\\\n",
       "rnB1ZNDdtrb+v6vid/QzZszAa6+9ZnVcpVJBr9e73T8iIlsYCInILzEIElFlqvr/E8629/RkqxUr\\\n",
       "VtgsNxgMHr0OERHAQEhERERkRRAElwKlq6HwxvqW1zlz5ozN/lT8L5/2ISJPYiAkIiIisuBOIMzI\\\n",
       "yEDjxo2lsp49e9od7XNXYmKiR89HRMRASERERGTB1UBYISMjw+xnTwTCwYMHSz+np6dX+XxERDdi\\\n",
       "ICQiIiKy4G4gvHEEr2fPnlXux4wZM6RVTzk6SETewEBIREREZMGdQJiYmOjREbwbVxsNDw/n6CAR\\\n",
       "eYXru7USERERkVfdGAaDg4ORn5/v2w4R0U2LgZCIiIjIQsUIobMvV7Vv396qbcV7y30I9Xo9tFot\\\n",
       "tFotnn32WY/cHxFRBQZCIiIiIgveDoR///233WOWm9LrdDrp9d5777l8LSIiR/gMIREREZEFd4Oe\\\n",
       "s7iXIBHVFAyERERERBa8HQiJiGoKBkIiIiIiCwyERCQXfIaQiIiIiIhIpjhCSERERGSBI4REJBcc\\\n",
       "ISQip7355psQBAGTJk1yWC81NRUtWrRAQEAA2rZtix9//NHsuCiKmDFjBurWrYvAwEAkJSXh5MmT\\\n",
       "Xuw5EZFrvL3KKBFRTcFASERO+eOPP/DRRx+hXbt2Duvt3r0bw4YNw5gxY3Do0CGkpKQgJSUFhw8f\\\n",
       "lurMnz8fS5YswbJly7Bv3z4EBwcjOTkZZWVl3r4NIiKnMBASkVwwEBJRpa5du4ZHH30Un3zyCSIj\\\n",
       "Ix3WXbx4Me6++268+OKLaNmyJV577TV06tQJ77//PoDro4OLFi3C9OnTMXDgQLRr1w4rV65EVlYW\\\n",
       "Nm7cWA13Q0RUOQZCIpILBkIiqtSECRPQv39/JCUlVVp3z549VvWSk5OxZ88eAEBmZiays7PN6oSH\\\n",
       "h6N79+5SHVvKy8tRWFho9iIi8hYGQiKSCwZCInJo7dq1OHjwIObNm+dU/ezsbMTExJiVxcTEIDs7\\\n",
       "WzpeUWavji3z5s1DeHi49GrQoIErt0FERERENjAQEpFd586dw3PPPYfVq1cjICDAp32ZOnUqCgoK\\\n",
       "pNe5c+d82h8iurlxhJCI5ILbThCRXWlpacjNzUWnTp2kMqPRiJ07d+L9999HeXk5lEqlWZvY2Fjk\\\n",
       "5OSYleXk5CA2NlY6XlFWt25dszodOnSw2xetVgutVlvVWyIicgqDHhHJBUcIiciuvn374p9//sGf\\\n",
       "f/4pvbp06YJHH30Uf/75p1UYBIAePXpgy5YtZmWbN29Gjx49AAAJCQmIjY01q1NYWIh9+/ZJdYiI\\\n",
       "agKODhKRHHCEkIjsCg0NRZs2bczKgoODUatWLal85MiRqFevnvSM4XPPPYdevXrh3XffRf/+/bF2\\\n",
       "7VocOHAAH3/8MQBI+xjOnTsXTZs2RUJCAl599VXExcUhJSWlWu+PiMgeV8IeQyER+TMGQiKqkrNn\\\n",
       "z0Kh+L/JBrfeeiu+/PJLTJ8+Ha+88gqaNm2KjRs3mgXLl156CcXFxRg3bhzy8/PRs2dPbNq0yefP\\\n",
       "KRIRVWAgJCK5EERRFH3dCSIiVxUWFmLBggX8IkZENs2aNQsFBQUICwtzqV3jxo2RkZGB2rVrm/2y\\\n",
       "yxGTyYRLly4hMTER6enp7nSXiMhn+AwhERERERGRTHHKKBEREZEFThklIrlgICQiIiKywEBIRHLB\\\n",
       "QEhEN72ZM2f6ugtE5EGzZ8/2+jUYCIlILhgIiYiIiCwwEBKRXDAQEhEREVlgICQiueAqo0RERERE\\\n",
       "RDLFEUIiIiIiCxwhJCK5YCAkIiIissBASERywUBIREREZIGBkIjkgoGQiIiIyAIDIRHJBQMhERER\\\n",
       "kQUGQiKSC64ySkREREREJFMcISQiIiKywBFCIpILBkIiIiIiCwyERCQXDIREREREFhgIiUguGAiJ\\\n",
       "iIiILDAQEpFcMBASERER2cCgR0RywFVGiYiIiIiIZIojhEREREQWOGWUiOSCgZCIiIjIAgMhEckF\\\n",
       "AyERERGRBQZCIpILBkIiIiIiCwyERCQXDIREREREFhgIiUguGAiJiIiILDAQEpFccNsJIiIiIiIi\\\n",
       "meIIIREREZEFjhASkVwwEBIRERFZYCAkIrnglFEiIiIiCxWB0NmXJ85/o9OnT3vkOkRElWEgJCIi\\\n",
       "IrLg7UBYmYSEBJvlgwcP9vi1iEjeGAiJiIiILHg7EIqiKL0snT592qpefHw8AOCrr75y+56IiGxh\\\n",
       "ICQiIiKqQWyNDp45c8YHPSEiOeCiMkREREQW3FlUJiMjA40bN5bKe/bsiRUrVrjdB7Va7XZbIiJn\\\n",
       "MRASERERWXB3ldGMjAyzn6sSCImIqgMDIREREZEFdwNhYmKi9HPPnj2r1Ae9Xl+l9kREzmAgJCIi\\\n",
       "IrLgTiBMTExEenp6la+dmZlp9RzhjVNRiYg8iYGQiIiIyIK3N6Zv3749/v77b5vnuXHlUctzDxo0\\\n",
       "yOVrERE5wlVGiYiIiKqZZRi0lJmZabN8w4YN3ugOEckYRwiJiIiILHh7hNDW/oM3atSoUaV1iIg8\\\n",
       "gYGQiIiIyAZ3gh4Rkb9hICQiIiKy4O0RQiKimoKBkIiIiMgCAyERyQUDIREREZEFBkIikgsGQiIi\\\n",
       "IiILDIREJBfcdoKIiIiIiEimOEJIREREZIEjhEQkFwyERERERBYYCIlILhgIiYiIiCwwEBKRXDAQ\\\n",
       "EhEREVlgICQiuWAgJCIiIrLAQEhEcsFVRomIiIiIiGSKI4RERDWYvZEHURSruSe+k5+fj8jISLfb\\\n",
       "V/ZZBQcHo6SkxO3z+xs5/d2pCo4QEpFcMBASEfmZoKAgX3ehWl28eNHtthqNptI6cgqD5DwGQiKS\\\n",
       "CwZCIiI/c/XqVV93oVr9/fffbrc9c+aMw+NGo9Htc9PNjYGQiOSCzxASEfmJwMBAlJSUODXqdTNp\\\n",
       "2bKlW+369euH2NhYh3Xi4+PdOjfd/CoCobMvIiJ/xUBIRHbNmzcPXbt2RWhoKOrUqYOUlBScOHGi\\\n",
       "0napqalo0aIFAgIC0LZtW/z4449mx0VRxIwZM1C3bl0EBgYiKSkJJ0+e9NZt+DVRFKVXSUkJAgMD\\\n",
       "fd2late2bVu7x86dO2f2GRkMBhQUFMBkMuHnn392eN78/HxkZWW51afk5GSkpaU57Bv5NwZCIpIL\\\n",
       "BkIismvHjh2YMGEC9u7di82bN0Ov16Nfv34oLi6222b37t0YNmwYxowZg0OHDiElJQUpKSk4fPiw\\\n",
       "VGf+/PlYsmQJli1bhn379iE4OBjJyckoKyurjtsiPyMIAlJTU83KwsPDIYoi6tevb1auVCoRFhZW\\\n",
       "6Rf0y5cvu71QjcFgwKZNm9CpUyf8/fffNW7aqSAIGDVqFJ5++mkGFSIiqhQDIRHZtWnTJjz22GNo\\\n",
       "3bo12rdvj+XLl+Ps2bNIS0uz22bx4sW4++678eKLL6Jly5Z47bXX0KlTJ7z//vsAro94LVq0CNOn\\\n",
       "T8fAgQPRrl07rFy5EllZWdi4cWM13Rn5m8GDB0MURVy7dg0mkwn5+flun6t+/fqoXbu2W223bdsG\\\n",
       "pVJpVqZQKFBeXu52fzxp5syZMJlMWL58OT744AOYTCaEhYX5ult+iSOERCQXDIRE5LSCggIAQFRU\\\n",
       "lN06e/bsQVJSkllZcnIy9uzZAwDIzMxEdna2WZ3w8HB0795dqmNLeXk5CgsLzV5U8/3000/SF+Z6\\\n",
       "9epV+XzBwcFuf/levXo1BEHAhQsX3L5+7969bZZrNBqfP4946tQpzJo1y6q8oKAACgX/uXcVAyER\\\n",
       "yQX/hSAip5hMJkyaNAm33XYb2rRpY7dednY2YmJizMpiYmKQnZ0tHa8os1fHlnnz5iE8PFx6NWjQ\\\n",
       "wN1boWryxBNP4N5775XeZ2VlYciQIT7py8mTJzF8+PAqnaNhw4YOj2dkZFTp/FVx6dIlNG7c2O5x\\\n",
       "o9FoNbJJjjEQEpFcMBASkVMmTJiAw4cPY+3atT65/tSpU1FQUCC9zp0755N+3Mw8uWG5wWDAZ599\\\n",
       "ZlX+9ddfO2yn0+mQk5PjsX5UePbZZ6t8jvT0dIfHlUpltYeuuLg4mEwm1KpVq9K6BoMBZ8+erYZe\\\n",
       "3TwYBolIDhgIiahSEydOxPfff49t27ZZLeJhKTY21uoLfU5OjrT8f8X/Oqpji1arRVhYmNmLPCMz\\\n",
       "MxNqtRoajUaaFlxVISEhNstVKvvb37Zt2xZarRaxsbFOf8nW6/VO1fvf//7n8LggCAgODkbXrl3x\\\n",
       "8MMPo1u3btKKrmq1GlevXnUq7FV1j0hBEKBUKqFWqxEaGoru3bvjs88+w9mzZ1FSUgKDwQCTySSt\\\n",
       "qnrhwgWXAglH1p3HEUIikgtuTE9EdomiiGeeeQbffPMNtm/fjoSEhErb9OjRA1u2bMGkSZOkss2b\\\n",
       "N6NHjx4AgISEBMTGxmLLli3o0KEDAKCwsBD79u3D+PHjvXEbVImNGzdKK2VeuHAB4eHhVTpfWVmZ\\\n",
       "3UVW7G0FYTAYzFaiBYCUlBS7Cw0ZDAao1WoA17+4G41Gh1/K1Wo1RFFEWVkZSkpKEBQUBI1G4/Fn\\\n",
       "60JDQzF16lTMmzfP6TaCIOD8+fOIi4vzaF+IiIicwRFCIrJrwoQJ+O9//4svv/wSoaGhyM7ORnZ2\\\n",
       "NkpLS6U6I0eOxNSpU6X3zz33HDZt2oR3330Xx48fx6xZs3DgwAFMnDgRwPUvv5MmTcLcuXPxv//9\\\n",
       "D//88w9GjhyJuLg4pKSkVPctEoDnn38emZmZOHfuHFq1alVp/dLSUmg0GgiCgKCgIBw9elQ6VlBQ\\\n",
       "4HCvRHuLsuzbt8+qbMuWLXbPUxEGgeu/uIiMjITJZKq07wEBAYiKikJAQIDXFlp54403cP78eafq\\\n",
       "arVamEwmhsEaiCOERCQXHCEkIrs+/PBDANZf4r/44gs89thjAICzZ8+afbG+9dZb8eWXX2L69Ol4\\\n",
       "5ZVX0LRpU2zcuNFsIZqXXnoJxcXFGDduHPLz89GzZ09s2rQJAQEBXr8nsq2yBVNuFBQUJP1cWlqK\\\n",
       "1q1bO9XO0Zfmdu3aWZVV/B2z9NFHH1mVFRQUoF69erh48aJTffG2evXqQRRFREdH49KlS3brce/N\\\n",
       "msuVoMdASET+jIGQiOxyZpGR7du3W5UNGTLE4WqSgiBgzpw5mDNnTlW6Rz4wffp0t9s6+vsUGhoK\\\n",
       "lUoFg8EA4Prfkffee89mXXtTi7Ozs5Gfn4+IiAi3++hpeXl56NevHzZv3mx1zFcLvNwM4WXq1KnQ\\\n",
       "aDRevQYDIRHJBaeMEhGR015//fUqtXc0nVSv12P37t344YcfHE7/dBQsIyMjkZKSIj0TWRP88ssv\\\n",
       "WLZsmVlZ27ZtucBLDccpo0QkFwyERETklPz8/Cqfo6ysDIIg2A11PXr0MNu70JbKnv379ttvoVKp\\\n",
       "IAgCwsLCPLqdhruefPJJmEwm/PHHH7h06RL+/vtvX3eJKsFASERywUBIREROiYqK8ti57G1L4QxH\\\n",
       "z+RZKioqglardftaniQIArp06eLUnoEA8NVXX0lh48ZncKl6MBASkVwwEBIRUaU+/vhjj460lZSU\\\n",
       "uN02MjISer3e4fTTGzm7V6EjOp3OIyOkzjIYDBg8eLD0/siRI2jSpEm1XZ+IiOSDgZCIiCr15JNP\\\n",
       "evR8HTt2rFJ7lUqFkpISmEwml1ZIdUdoaCi0Wi0iIyMhCIK08I03ffzxx1Zl6enpWLNmjVW5KIq4\\\n",
       "fPmyR4Iv/R+OEBKRXDAQEhGRQ55+Bq9Ro0Y4ePCgR84lCAJOnz6N7OxshIeH26zTp08ft8+/e/du\\\n",
       "XLt2zazM26tbArC7H+QjjzyC+vXrIzMzE1u2bJH2U6xduzY0Gg0+++wzr/dNLhgIiUguGAiJiMgh\\\n",
       "V7/sKhQKbN68GcXFxcjNzcXq1avx4osv4tChQzCZTMjMzPR4H2NiYpCfn4+1a9ealYeFhTnc4L4y\\\n",
       "U6dOtSoTRRH79++3Wf+ff/6RAkKLFi3cvq7l3p83unDhAhITE5GUlITy8nKzY+PGjXP7mmSOgZCI\\\n",
       "5IKBkIiIKrVnzx6n6q1fvx5GoxFJSUkICgpCdHQ0HnnkEcyfPx8dOnTw+hfnoUOHQhRF6HQ6GI1G\\\n",
       "FBQUVOl8tgIhAHTv3t2q7IknnkC7du2k9ydOnLC5TydwPVSGhIRAoVDYDX9//vmnq92FUql0uQ3Z\\\n",
       "xkBIRHLBQEhERJW65ZZbYDAY7C5sEhYWBpPJhCFDhlRzz2xTq9WVbk/hjLvvvtvuMYVCgWPHjiEr\\\n",
       "KwuBgYE2p2veddddNtsqlUoUFxdDFEXs2LEDMTExVnXat2+PhQsXutTfy5cvu1Sf7GMgJCK5YCAk\\\n",
       "IiKnKJVKnDx5EqIoSqNw5eXlEEURBQUFN+2X4rlz59osF0URrVq1Qr169VBWVmazjq0FaCo+vxvl\\\n",
       "5ubabD9p0iTcfvvtTvWzsLAQoaGhldaruL4/v7RaLQMaEZGHMBASEZFb1Gp1tSyw4mvTpk1zey9D\\\n",
       "W1M4XQ0rO3fudDgVNDExEaIoOhUGyXkcISQiuWAgJCKiaqfX6/1qm4QLFy641c7e6GKnTp3M3t97\\\n",
       "770Oz6PT6WyWX758Genp6W71jRxjICQiuWAgJCKiajNy5EgIggCNRgONRgNBEBAQEIDDhw97fHsL\\\n",
       "d5w/fx4KhUL6kl/xTF5kZCTUarVL57rnnnvw8ssv2zyWlpaG8+fPY8iQIbh48SJ++OEHh+dSKBQw\\\n",
       "Go3o0qULoqKi8NNPP0EURURFRbnUJ3IeAyERyYXK1x0gIiJ5eOSRR2xurF5eXo62bdtalQuCgNDQ\\\n",
       "UGzfvr3KG9kbDAaoVI7/ycvKykKDBg3MymrXro3c3FxERUUhJiYG58+fd3iO4OBg5OXlITAwsNI+\\\n",
       "1atXD+vXr6+88/+fQqHAH3/84XR9qhpXgh4DIRH5M44QEhGRW8rKyuxOZbSk0+lshkFHRFFEYWEh\\\n",
       "OnXqBEEQoFAoEB0djejoaGkVUa1Wi7Nnz9o9h9FohEKhgFqthiAIeOihh+zWrVevns3yzZs3Q6FQ\\\n",
       "4JFHHnHY3+nTp+PatWtOhUGq+ThCSERywUBIREQuyc3NhSAICAwMhFarRXJycqVt3F2U5UaiKOLS\\\n",
       "pUu4dOkSDAaDtNJpw4YNMWTIEJtTTlUqlVl5amoqatWqZVUvMzPT7nWHDh0KQRDsPg8IALGxsXjt\\\n",
       "tddcvCMiIiLfYyAkIqJKiaKIrKwsBAQEWO2Z98svvzhsWx0rkW7YsMHqGb+uXbvarHvlyhVoNBqY\\\n",
       "TCYA1xe4ady4sc26WVlZ0gqfarUa0dHRNutdvHjRYf927dqF0NBQp6adUs3AEUIikgsGQiIisnLP\\\n",
       "PfeYLa6iUChQr149lJeXu3Se/v37V9tqokajEd26dUNJSQmGDx+OAwcO2K2r1+uhVCqlBW5sjS4u\\\n",
       "WbIEdevWNSvLycmxeV1HRFHEHXfcgWvXriE3NxcNGjSAIAgoLS118s7IV7wVBletWmXzPKdPn/b8\\\n",
       "TRARVYKBkIhIJoqLi1FYWOhwNc/Zs2dDEARs2rTJI6t+/vjjj1U+hyv++OMPBAcHY/Xq1W6f46OP\\\n",
       "PoIoinjmmWesjgmCAJPJhGnTpuGLL76AKIpQKBz/U1pSUmKzPCgoqNIw6Uk6nQ7h4eHVdj1/580R\\\n",
       "wpEjR9osT0hI8ETXiYhcwlVGiYhucmfPnkXDhg3NygRBQNeuXbFs2TKEhobiueeeczu8VbZ6pz+5\\\n",
       "ePEiYmNjHdap7HlCS46mzNapU0fa2sKbrly5YvPZSbKvOlYZvfGXLpx2SkS+cvP8K05ERDZZhkHg\\\n",
       "+hfR/fv3W22Q7g5HoxrBwcEoLi6u8jWqg1KprDQMusPR/oX5+fkev54tDIOucycQZmRkmD2P2rNn\\\n",
       "T6xYscJhO1EUGQaJyKc4ZZSIqAbLy8uDwWBwu/2VK1c82BvbHG2Ofu3aNdxyyy3Se4VCUemIoiAI\\\n",
       "KCoqgiiKEEUR48ePr7S+VqutdOpmZd54440qtXfk4YcftllelQB65swZ6TlPR9tpeGLqrxy5O2U0\\\n",
       "IyNDeq1cudLmubdt22Z2nQr8syIiX2AgJCKqwerUqQO1Wu32tg0RERGe7ZANp06dcnh8z549Urgz\\\n",
       "Go3Q6/UQRREGgwHx8fFmdUeNGgWTyYSQkBCpbOnSpTZHOYHrQctkMqGsrMypkUhHIzEvvfRSpe3d\\\n",
       "tWbNGoSFhVmVnzt3zu1zNmrUSAoQqamp6Nu3r8161fmcIgGJiYnSy96zgnfeeafNco4UEpEvMBAS\\\n",
       "EfkBnU6He+65x+V2CoUCJpNJ2jrBFfn5+VKQE0URrVu3tlnP3WfglEolzpw5Y3aN5cuX26x7+vRp\\\n",
       "DB06VHpfsb/gjZvdBwQE2F3AJSsrC6IowmQySde6evUqPv/880oX2tHr9WYrrqrVardWTi0oKJD6\\\n",
       "UNGPqo5q3mjr1q02n228mZ7xrE7ujBAmJiYiPT1dejmaLgrA7O8+EZGvMBASEfkJe2GpMoIgwGAw\\\n",
       "IDIy0un6er3eakXKw4cPu3V9T1m7dq00wmgvkAUGBmL//v1mZVlZWVbbRwDXR09Hjx6N0NBQh9cN\\\n",
       "Cgoy+8JuMBig0WiQm5vrxl249myaq1599VWb5dnZ2V653s2M+xASkVwwEBIR1XAqlQpHjx612hDe\\\n",
       "VUePHoVWq4VarbYa/TMajSguLoZer4fJZLI7qpSZmVmlPlSVM88gdu3a1ezebIVBV9h7hrOqfx5V\\\n",
       "9cQTT9gst9XfmJgY6HQ6ryyac7OqjkDIQElENQEDIRFRDSaKIvR6PVq2bFnlc82cORPl5eUQRdFq\\\n",
       "9E+hUCAoKKjSsNWoUSOrEbXAwMAq981f5eXl+ezan3zyic3y++67z2a5Wq3GxYsXvdmlm4o3A2GL\\\n",
       "Fi1sltva+5KIyNv4YAERkQzk5eXh448/BnB9BKkqS90XFhZCoVBI0yhzcnI81s+aKCgoyO6zidnZ\\\n",
       "2YiOjq7mHv2f+Ph4nD171qzs559/9lFvbi7e3Ifw2LFj7nSJiMgrOEJIRCQDPXv2NHufnp5epfON\\\n",
       "GzcOABAWFlbpM3j+7tlnn7V7LC4urhp7Ym3hwoU2y00mUzX3hIiI/BUDIRGRDPz7779m75s2bVql\\\n",
       "83344Ye4ePEiCgoKqnQefzBv3jy7odfXG74PHDjQZjmfFaw6LipDRHLBQEhE5KcyMjKk7RAUCgUO\\\n",
       "HTrkUvuqLHVvNBp9OlWyuhUWFlpt+5GVleWj3vwfeyOBeXl5HCWsIgZCIpILBkIiIj908eJFNG7c\\\n",
       "WAp1oiiiU6dOVlsuOOLOhuV6vR6xsbEICAjA5MmTXW5fFXq9HufOncPx48cr3TvQG3788UeIoigt\\\n",
       "zFPV1Us9YcqUKXaPNWzYsBp7cvNhICQiuWAgJCLyQw0aNLBZfsstt9gs//PPP63KXN2wvHfv3tBo\\\n",
       "NMjJyYHRaMSSJUvc2qDdVdu2bYMgCNBoNIiPj0fLli0RHh6O/v37V+m8er0eQUFB0rnLysqcaqfR\\\n",
       "aKp0XU8oLS3FPffcY/cZQgA4f/58Nfbo5sNASERywUBIROSH7E0HtDdq1r59e+zfv1/64lpeXu7S\\\n",
       "9fbv348dO3ZYlXfs2NGl87jKYDCgT58+No9VJZgZjUZoNBqUlpYCuB4OPbF9RllZmVenaoqiiFq1\\\n",
       "aiEoKAibNm2qtL6r04jp/zAQEpFcMBASEfmhkSNH2iy/44477Lbp2rUrTCYTRFF0OUzZO6+3l893\\\n",
       "9JzeN9984/Z5AwICbJZnZma6dT69Xg9BEBAYGAilUok6derYrGc0GvH8889j48aNbl1nwYIFuHLl\\\n",
       "itP1u3Tp4tZ1iIhIPhgIiYhqsBdeeAErV66URrIqLF++HP/++6/ZtM8HHnjA5iieN7k67dRV8fHx\\\n",
       "NkdfDAaDw1GZ8vJyu5uwG41GGAwGm8e+/PJLt/oZExNj9j4vLw/h4eFmZWVlZVCr1Vi0aBEeeOAB\\\n",
       "tG7d2uXrvPzyyy7VN5lMOHLkiMvXIY4QEpF8MBASEdVgCxYswKhRoxAUFITGjRubHWvatCn0ej1E\\\n",
       "UYQoivj666+91o8ff/zRZvkPP/zgtWtWMBqNGDRoEKKjo7F8+XKIogilUmm3fvPmzREQEIC4uDgo\\\n",
       "FNb/zF29etVu21atWrnVx2vXrlmVFRYWIioqCnl5edi8eTMCAwPNpvQePXrUamEeRwv9OAqyjrRp\\\n",
       "08bsuq4GnZr4qljYx9GrqhgIiUguGAiJiPxERkZGta+sWaFPnz6oXbu2WVlERASSkpK8fm1BELBh\\\n",
       "wwbk5uZi1KhRDuuePXvWbM9FURQxYcIEszpBQUF22997771u9dHe4i5Xr15FnTp10K9fP7vtlEol\\\n",
       "lEolBEGASqWCIAhWI44A7E5DdYYnno+UGwZCIpILBkIiP5eZmYmVK1fitddew9SpU7FgwQJs27bN\\\n",
       "6RUTyb/48otnXl4eioqKsGrVKhQVFTkcafMVW9MwP/nkE7P3jsKRVqt167oTJkxw+8/GZDJZLUST\\\n",
       "m5sLpVKJq1evwmg0on///i49O2ipvLwc3bt3d7u9XDEMEpEcePfhDyLymtWrV2Px4sU4cOAAYmJi\\\n",
       "EBcXh8DAQFy5cgXp6ekICAjAo48+iilTpnA/spvEk08+6esuICQkBMOHD/d1N+zS6XSV1rH3BT49\\\n",
       "Pb1K1zaZTB4NByaTCVFRUR47342rzFLlXAl7/FyJyJ9xhJDID3Xs2BFLlizBY489hjNnzuDixYtI\\\n",
       "S0vDb7/9hqNHj6KwsBDffvstTCYTunTpgtTUVF93mapo9OjRWLZsWZXPI4oiRowYgZdfftln00+9\\\n",
       "ydYomOWon71tIRITE6t8/eoOBgwiRERUVRwhJPJDb775JpKTk+0e12q16N27N3r37o3XX38dp0+f\\\n",
       "rr7OkUd5MrQZDAao1Wrp/VtvvYVDhw6hQ4cOHruGr33yySdo0aKFWZlerzd7v2jRIqt29hapMZlM\\\n",
       "OHv2LBo0aOBwIRsAOHXqVLWG7IyMDCQkJCA/Px+RkZHVdl254AghEckFRwiJ/JCjMGipVq1a6Ny5\\\n",
       "sxd7Q/7ixRdftCrr1q2bD3riPbYWY7EMhLNmzbKqY2+hmaSkJDRu3BhNmzZ1GPaMRiPatWvnWmed\\\n",
       "YG9bD4VCgYSEBADXF/extZoqVQ0XlSEiueC/IEQ3idzcXBw+fBh///232YuowuLFi63K9Ho9ZsyY\\\n",
       "4YPemPPUVgG2RvFMJhNyc3MBXB9VKyoqsqpz55132uzTtm3bYDKZkJmZCYVCgcOHD5vV+eOPP6BU\\\n",
       "KqFSqaz2iqwKlUqFsrIyFBcX2wyFlnss1oQ/w5sNAyERyQUDIZGfS0tLQ5s2bVC3bl20a9cOHTp0\\\n",
       "QMeOHaX/JaoQEBBgs/zMmTPV3BNzffr0gUKhgEKhQGxsrM06BQUFiI+PR3h4uN0tHgBg/fr1Nsvj\\\n",
       "4uKQkpKCJk2a2Dw+f/58q7LXX3/dqqxt27YQBAEKhQKCIKBbt252n0l0lyAI0Ov10Gq10Gg0OHXq\\\n",
       "lFUdyy0opk2b5tE+EAMhEckHAyGRn3v88cfRrFkz7N69GxkZGcjMzDT7X6IK165ds5paGB0djRUr\\\n",
       "VvioR8CuXbuwbds26X1OTg4EQcDBgwchiiJ0Oh2ioqIQERGBc+fOobCwEJMnT4YgCHj00UfNziWK\\\n",
       "IsaNG2fzOkajEd9//73dUcjmzZtblTlaxKcqo5l16tTB1atXce7cOatVRDUajVXAbNiwodko4aef\\\n",
       "fmp1TpVKZXPaaNOmTXH8+HGkp6fjpZdeqtJehnLDQEhEcsFFZYj8XEZGBr766iu7Ix9EFRQKBYxG\\\n",
       "I0wmkzQC5Wt33HGHzXJnnnv98ssv8eWXXyI6Oho6nQ5FRUUOR+saNGiArKwsq60pWrVqZbN+z549\\\n",
       "sW7dukr74QpBEJCTkwPg+rN/ly9fBgCUlpZCo9HYXbhGp9NhwIABePjhh62C8I11KgJlUFAQCgsL\\\n",
       "zc731ltv4a233vLo/fjK7NmzvX4NLipDRHLBEUIiP9e3b1/89ddfvu4G+RGFQuEwDJaXl2PYsGHY\\\n",
       "smWLw/MUFRWhTp06UCqVUCqVCAgIwG233YbDhw9Dp9PBZDI5HEmbM2eO2/dwo7y8PBQUFDgMgxMm\\\n",
       "TEBmZibKy8vx888/Q6VSQRAE9OrVC0eOHLHZZvXq1R7p340CAwPtljtaxVQQBHz33Xd2wyBw/flJ\\\n",
       "o9EIURRRXFxc6aqoREREAEcIifzep59+ilGjRuHw4cNo06aN2bYCADBgwAAf9Yz8VWBgIERRxNq1\\\n",
       "axEVFSWNYt1ozpw5mDlzpllZeXk5du/ejbZt21rVFwQBQ4cOxeeffw6lUonRo0fjyy+/9No93Cgm\\\n",
       "Jgbvv/++9L5fv35WK4/aolQqIQiCR7eScOa6VDNwhJCI5IKBkMjP7dmzB7///jt++uknq2OCIMBo\\\n",
       "NPqgV+SvmjdvbhaArly5ApVKBYPBIJV16tQJhw4dcum8FQFz7dq1HuurM9avX48hQ4a43d5kMuGX\\\n",
       "X36pdKsXy+CsUqls/rd34+dINRsDIRHJBaeMEvm5Z555BsOHD8fFixdhMpnMXgyDdKO///4bjzzy\\\n",
       "CLKzs+3WsbWipdFoxIQJEyCKInJzc10Og74yYcKEKoXBCv369cMnn3xi97hSqbQaRbV8TrGCvX0F\\\n",
       "qebhojJEJBcMhER+7vLly3j++edtbshNVKFDhw5o37491qxZg7p166KwsNBmPXvP4S1btgx//fUX\\\n",
       "nnnmGW9202OaNm1qNk20qh5//HHUrVvX5jFb00AVCgXi4+Otyjdv3uyxPpF3MRASkVwwEBL5uQcf\\\n",
       "fNBs2X4iSyaTyWrhofDwcJt17X2xVSgUaNSokd1tHWoSjUaDf//916U2JpMJFy5cwLZt2/DLL7/g\\\n",
       "8OHDyM/PlxbGMRqN+PTTT80WhVGpVNDr9XY/szNnzpgt7BIbG4tevXq5d1MeYDKZUFxc7LPr+xsG\\\n",
       "QiKSC85dIfJzzZo1w9SpU/Hbb7+hbdu2VovKPPvssz7qGXmCWq1GQEAApk6dipdfftnmXnOV+eGH\\\n",
       "H2yW//PPP1YLwCiVSpvPua1atQoRERHo27cvtFotysvLXe6Hp0VGRkrTNSuee2zWrBlOnDjh0nn6\\\n",
       "9evncOROpVKha9euePnll/HPP/8gPDwcERERTk3/NBgMKCsrg0ql8tl0UYPBAI1GI31Gnlwkh4iI\\\n",
       "/B8DIZGf+/TTTxESEoIdO3Zgx44dZscEQWAg9HMGgwHXrl3DtGnTMG3aNCgUCvz9999o3bq10+dY\\\n",
       "tGiRzfKOHTtahT97YeHhhx+Wfk5LS0ObNm2cvr43KJVKnDlzBqGhoVU6z/Tp0yudxmkwGLBnzx78\\\n",
       "5z//wfHjx10O5QEBAVXpYpUFBAQwBLqBi8oQkVxwyiiRn8vMzLT7ysjI8Mg1PvjgAzRq1AgBAQHo\\\n",
       "3r079u/f77B+amoqWrRogYCAALRt2xY//vij2XFRFDFjxgzUrVsXgYGBSEpKwsmTJ93qmyiKDl/l\\\n",
       "5eUuT/2qSS9LJpMJbdq0gSAIWLlypVOfkb0RM6PRaDa1smJqpKVmzZqZvXcljFaFoy/ZRqOxykHL\\\n",
       "ZDLhzTffdLp+enq6WyO0vsbFpdxzM0wZ3b59e43tGxHVHP73LxsROeXixYuYP39+lc+zbt06TJ48\\\n",
       "GTNnzsTBgwfRvn17JCcnIzc312b93bt3Y9iwYRgzZgwOHTqElJQUpKSk4PDhw1Kd+fPnY8mSJVi2\\\n",
       "bBn27duH4OBgJCcno6ysrMr9lZNRo0ZBEAQEBwcjLS3Nbj1Hq4o2b94c7du3x/z58+1uZD537twq\\\n",
       "9xUAQkJCEBUV5VTdzz77DCaTCSUlJXa/0K5Zs6ZK/cnMzGRYIrtuhkDYu3dvX3eBiPwAAyGRn3v8\\\n",
       "8cdtvoYPH47XXnutyudfsGABxo4di9GjR6NVq1ZYtmwZgoKC8Pnnn9usv3jxYtx999148cUX0bJl\\\n",
       "S7z22mvo1KmTtOKjKIpYtGgRpk+fjoEDB6Jdu3ZYuXIlsrKysHHjxir3V45KSkrQpUsXCIKAhx56\\\n",
       "yGx6YHp6eqWh5++//8aUKVPsTiu0tc2EvfDoSOvWrTFnzpxK2wqCgMcffxwAEBgYaHfvvscee6zS\\\n",
       "a166dAmBgYFQKBRQq9UYP348SktLodfrMW3aNJf6P378eJfq1xRxcXG+7oJfuhkCYYWa3j8i8i0G\\\n",
       "QiI/d/XqVbPXpUuXsH//fmzfvh3vvPNOlc6t0+mQlpaGpKQkqUyhUCApKQl79uyx2WbPnj1m9QEg\\\n",
       "OTlZqp+ZmYns7GyzOuHh4ejevbvdc5LzUlNToVAooNVqERAQgCZNmlT5nLb+Hj344INWZRqNBo8/\\\n",
       "/ji6d+9u8zxHjx5FgwYN0L59e4fXu/XWW83eKxQKmyMdoigiPT3d7nkyMjIQHR2NsrIyiKIIg8GA\\\n",
       "ZcuWITY2FnfeeSdSU1Md9uNG/fv39+g2FtXp/Pnzvu6CX7qZAiFgfT9ERBW4qAyRn/vmm29slr/+\\\n",
       "+uvYuHEjnnzySbfPfenSJRiNRqs9DmNiYnD8+HGbbbKzs23Wr5i2WPG/jurYUl5ebraypb199Og6\\\n",
       "exuju8PWPnvvvPOOWaCqV68eDh8+jPDwcFy7dg1RUVFWI3ulpaUIDAzE008/jXHjxtnd8/Cjjz6y\\\n",
       "Wda8eXOr8pEjR+L333+3eZ7bbrvNZnlhYSH27Nlj9/qW1Gq1X49eC4KAWrVq4fLly77uCvlAxch/\\\n",
       "+/bt8ffff/u4N0RUE3GEkOgmNWzYMGzfvt3X3fCYefPmITw8XHo1aNDA112SlQ8//NDsfXx8PMrL\\\n",
       "y1FQUABRFHH+/HlERERAEASEhoaia9euVucwGo3o3LkzxowZA51Oh7feestqkZbGjRvbXLTGcmGb\\\n",
       "Crt377ZZLoqiw18wOBsGAeDYsWMubRlhNBpx9epVnDt3rkZszwFc/+XOunXr/HJRHF/yx9FBe31a\\\n",
       "vHix2YJbREQV+C8D0U3qr7/+QseOHat0jtq1a0OpVCInJ8esPCcnB7GxsTbbxMbGOqxf8b+unBMA\\\n",
       "pk6dioKCAul17tw5l++H3Pf0009bfYnUaDQICwuzWf/q1atWZSqVSlpURqlU4qWXXoLRaIQoitDp\\\n",
       "dDCZTDh16pTdPmi1WpvlL7zwglXZ//73P7vncVVJSUmldQoKChAaGgpBEKT7jI+PR0BAABQKRY3Y\\\n",
       "EP6hhx7iIjouuBmmjN7YrzvvvLPG9pOIfItTRon83OTJk63KcnJy8O2336J///5mxxcsWODSuTUa\\\n",
       "DTp37owtW7YgJSUFwPWRlS1btmDixIk22/To0QNbtmzBpEmTpLLNmzejR48eAICEhATExsZiy5Yt\\\n",
       "6NChA4DrU/j27dvncNEOrVZrNxBQ9ahXrx6ysrKcqmtrq4suXbrYra9Wqys954MPPmhzZdEFCxbg\\\n",
       "zTffNDuHrWcc3dWpUyeb02YrlJaWIiIiwu5xURQREhKCnJwc1KlTx2P9Iu9yJejVtKB140iwIAgc\\\n",
       "ESQihxgIifycrRUgAaBr167Izc2Vtodw9wvL5MmTMWrUKHTp0gXdunXDokWLUFxcjNGjRwO4/gxX\\\n",
       "vXr1MG/ePADAc889h169euHdd99F//79sXbtWhw4cAAff/yx1I9JkyZh7ty5aNq0KRISEvDqq68i\\\n",
       "Li5OCp1UM128eBEFBQUIDw93WO+VV16x+QV0yZIlVbr+7bffbnerCY1Gg8jISCxYsADPPPOMS1NC\\\n",
       "K2MwGPDggw/i66+/tnk8OjraqfPExMQgPz+/0s+PagZ/DoQmkwkNGzb0dTeIyE8wEBL5uW3btnn1\\\n",
       "/EOHDkVeXh5mzJiB7OxsdOjQAZs2bZIWhTl79qzZb6NvvfVWfPnll5g+fTpeeeUVNG3aFBs3bkSb\\\n",
       "Nm2kOi+99BKKi4sxbtw45Ofno2fPnti0aZNbG41X9kVMq9X69W/Ha9oXzcjISOj1eptbR5hMJgwY\\\n",
       "MAA//PCDzbZNmzat0rXXrVvn8PjVq1elX1R42jfffAOj0Wjzvl2ZDhoREYGysjKOdvsBfw6EwPX/\\\n",
       "byYicgYDIRFVauLEiXaniNpauGbIkCEYMmSI3fMJgoA5c+Zgzpw5nuriTctoNOL8+fNo1KhRjQi2\\\n",
       "oihCpVIhPj4eYWFhOHv2LEpKSqRnAR05f/6826NjRqMRu3btcqutp7Rs2RL//vuvWVlBQYHL5wkI\\\n",
       "CIDRaOQCLzWcvwZCURSl/oSHh6OgoKBG9Y+Iah7+a0Tkh+6++27s3bu30npFRUV466238MEHH1RD\\\n",
       "r8gbFAoF4uPjPToF0hPOnj2Lw4cPo7CwEAaDwamwarm/oCVRFNG5c2coFAoIgoCgoCDMmjUL3377\\\n",
       "LaKjo33+GZw8edKqzNEiOI4olcoaEfDp5lSxkmh+fj4WLlwola9cudKHvSKimoojhER+aMiQIRg0\\\n",
       "aBDCw8Nx//33o0uXLoiLi0NAQACuXr2Ko0eP4rfffsOPP/6I/v374+233/Z1l8kDtm/fbnODdn9R\\\n",
       "WFiI//73vxg+fLjN44GBgWbbNJSWlmL27NnV1T2nTJ06VXpeFkCVFolRKpU+D7lkn7+OEFqaNGmS\\\n",
       "2SJfRESWGAiJ/NCYMWMwfPhwpKamYt26dfj444+lqWuCIKBVq1ZITk7GH3/8gZYtW/q4t+QpvXr1\\\n",
       "8nUXqmzEiBGIiorCvffea1b+zDPP1Jg9+xx58803zQJhvXr13D6XKIoICwtDYWGhJ7pGHnazBEIi\\\n",
       "osowEBL5Ka1Wi+HDh0ujLQUFBSgtLUWtWrWcWsKf/FNAQADKysqsyhUKBVQqFXQ6nd22NWX5+f79\\\n",
       "+2Pw4MFYv349BEFATk4O3n//fV93y2m///47brvtNgCo8nOARUVF0Ov1/G+2BmIgJCK54DOERDeJ\\\n",
       "8PBwxMbG8ovlTe7xxx+3KrvzzjthNBpRXl4OnU6HkJAQs+PBwcE4ceIErl69itatW1u17969O/r2\\\n",
       "7eu1PtuyYcMGqFQqxMTEIC4urlqvXZng4GCcPHnS7ub2PXv2NHtva+VRV3BKd810M2xMT0TkDI4Q\\\n",
       "EhHVYH379kX37t0xevRoREREoF69elAoFNKzZ4IgYO3atVJ9tVqNoqIimEwmm19Uly5dKk09DQgI\\\n",
       "QGlpqdnx6vxiazKZpH0yq1tFiDMajWblx44dQ4sWLQAATZo0gclksjkKKAgCYmJioNfrrc7hqjlz\\\n",
       "5uCVV16p0jkAID8/H4MGDUKDBg3wxRdfMKRUkbdHCFUqlc2/OzVhFJ+I5IUjhERENdjWrVsxb948\\\n",
       "NGvWDHXr1sWaNWsQGBgoHRdFEfXr18fOnTvNtn6oWKnT0nPPPSf9LMcFTQRBQGlpKQwGAwwGA0wm\\\n",
       "E15//XU0bNgQ+/btk8LgjfWvXr1q81w5OTm4cuVKlfvk6rOTK1asQEREBIKDg5GQkIDu3bsjODgY\\\n",
       "kZGR2Lp1K1asWIERI0ZUuV/kPbGxsVX+RQIRkacwEBIR+Qmj0YhTp05ZjSDo9Xr06tULKpUKKpXK\\\n",
       "7lRHAPjzzz+ln3U6HY4cOSK9t7WtQk2jUCjQq1cv9OjRw61RmbKyMgQEBEjvBUHAK6+8gtOnT6Nb\\\n",
       "t24220RERKBr165u99kZy5Ytq7SOwWCASqXCY489hoKCApSUlOD06dPYv38/SkpKzOpu3LjR7nlc\\\n",
       "nQpZE1/l5eXS1gr2XlXlzSmjOTk5AOCVfhMRuYqBkIjIj+h0OpuLylQwmUwYOHAg9Hq91bG8vDyr\\\n",
       "sjZt2kCj0SAwMBDNmjVzu1/Vtcl6ZmYmtm/fjt27d8NoNOLTTz91+trPPPMMNBqNW9fdv3+/W+2c\\\n",
       "NX78eLRq1Qrr16/HyZMnpWm/oijCYDDgiSeegFqtdnpUidNFq646niHkc4hEVBMwEBL5uVGjRmHn\\\n",
       "zp2+7gZVE5PJ5NRUz8jISKuyunXr2qyr1+sdhkxHWrZsiWvXrqGwsBDDhg1z6xzOGj16NOLj46X3\\\n",
       "giBgzJgxMBqNMJlMMBgMuHr1Ks6ePYuTJ0/is88+Q7169aBSqdCkSRMsXry4Ste3Fag96dixYxg6\\\n",
       "dCiaNWuGsLAwKJVKKBQKqNVqfPbZZy6dy1644AiU89wJhBkZGWjcuLH0GjVqlMvXJCKqbgyERH6u\\\n",
       "oKAASUlJaNq0Kd544w1cuHDB112iGqC4uBi1atWSwlpwcLDHn1mKiYnB0aNHERwcjODgYHz55ZfI\\\n",
       "yMhAmzZtEBoaCq1W69IXXIVCgVdeeQU5OTk4ceIE7r33Xmi1Wmi1WsyePRuff/653baCIECpVCIi\\\n",
       "IgINGjRAkyZN8Pjjj+P8+fMoKSnB0aNHq/xlu3bt2nZX8f3uu+9gMBik1V63bt1qNjW1ul27ds2q\\\n",
       "zGg0onbt2j7ojX9yd4QwIyNDeq1cudLhNThVlIhqAq4ySuTnNm7ciLy8PKxatQorVqzAzJkzkZSU\\\n",
       "hDFjxmDgwIHchkLGrly5gqioKGnaoaf98ssvVmUJCQnYv38/rl27BlEUcfz4cTz88MO4ePGiw3Op\\\n",
       "1WqcOXNGGsWsU6cOfvjhB5SUlKC4uLhKQcaT/w1MmTIFc+fONSuLjIxE//79pVCg0Whw55134vLl\\\n",
       "ywgLC6s0iAuC5/eHFEXRan/DgoIC5Ofne/Q6NzN3VxlNTEyUfrbcooSIqCbiCCHRTSA6OhqTJ0/G\\\n",
       "X3/9hX379qFJkyYYMWIE4uLi8Pzzz/vFYiHkHXq9vkphUK1W29xnr1u3bmjXrp3NNoGBgYiOjkad\\\n",
       "OnVwxx13ICsrC6Io2nzer2KbDJ1OZ3NKa1BQEKKjo6t1Kp2jz+u1114zW+VVoVAgNzfXZv+CgoKk\\\n",
       "hWBs6dGjBwwGA/R6PR5++OGqd9xCnTp1rPrjy1FLOUhMTER6err0WrFiha+7RERUKQZCopvIxYsX\\\n",
       "sXnzZmzevBlKpRL33nsv/vnnH7Rq1QoLFy70dffIj4SFhcFkMkGn08FgMEAURXz//ffo3bs3/vnn\\\n",
       "H+zbt8/lc1Y872c0GlFWViadPyQkxAt3YM6Z6bJGo1F6Zk8QBHz11Vc265WUlGDZsmV44oknoNPp\\\n",
       "7Aa+Cnq93iowfvvtt9i9ezeUSiWUSiXWrFmDM2fOOH9DTsjPz8evv/4qvQ8ICEBhYaFHr3Ezq+5F\\\n",
       "ZYiIfIWBkMjP6fV6fPXVV7jvvvvQsGFDpKamYtKkScjKysKKFSvw66+/Yv369ZgzZ46vu0p+QKFQ\\\n",
       "IC0tDQUFBVZfUvv3749t27ahTZs2Vb6Gq88XVtW9996L6dOnO6xTp04ds6mbgwcPtlv3ySefxCef\\\n",
       "fGJz9NQWk8mE5ORkNGnSBCUlJRgwYIBVnfj4eIiiiDfffNNjn43loibO9pe8GwjtTRHms4RE5AsM\\\n",
       "hER+rm7duhg7diwaNmyI/fv348CBA3jqqacQFhYm1bnzzjsRERHhu05SjfbRRx9JC1sYjUZ06tTJ\\\n",
       "113yqOTkZPzyyy94/fXXHW5RYWsDek+G1k2bNuHkyZNmU05tmTJlirTlhCiKeOedd9y+5qBBg9xu\\\n",
       "S86HQndwD0IiqikYCIn83MKFC5GVlYUPPvgAHTp0sFknIiICmZmZ1dsx8guCIGDcuHG+7oZX/fbb\\\n",
       "b9LPoija/e8kJSWl0vY3nqe6vsC/8MILmDp1qlttq7rVhpxVx5RRIqKagIGQyM+NGDGCC0WQ26pr\\\n",
       "Q3lfioqKMnv/119/2az39ddf29y4/ueffzZ7n5ycDIVCAYVCgYYNG3quow5YrmzqjB9//NFmULE1\\\n",
       "MuVvr4opx94MaAyERCQXN/83ASIiP9ahQwevbh3i6b0JHfHGiNrly5fx1VdfwWQy2a1jKwBeunTJ\\\n",
       "Zt3y8nIsXLhQ+oKfmJiImTNnSsdnz55ttt3G2bNnIQiCxxeEsVRZcL8xmISGhqKwsBD33HOPV/t0\\\n",
       "s2MgJCK5YCAkIqrBDh06BJ1OhwsXLnjtGv/5z38cHj9y5AiUSiUUCgW2bdtmt156ejruvPNOzJ07\\\n",
       "F9euXYPRaMSlS5cQFRUFQRCgUCggCALq1KkDnU4ntTMYDEhMTJS+WCsUCpw+fbrSfo8ZMwa1a9fG\\\n",
       "4MGDpU3pbYmKirJ6bs/W84IVJk2aJD3Dl56ebraK6JYtW2y2adSokddHC22FwnfffReiKMJkMkmv\\\n",
       "wsJChIaGerUvRER082AgJCLyA3FxcQ5DTFW8++67do8ZjUa0adNGCkh9+vTB3r17repFRUWhSZMm\\\n",
       "2L59O1599VWEhoZCpVIhOjraqt95eXlmU/7UarXZM66iKCIhIQHFxcUO+/3555+bvS8oKEBZWZnN\\\n",
       "uiUlJdBqtQCuj/zEx8c7PLc9jvaVqxgt/OSTT9w6d2Vu3KtQEASUlZVh8uTJXrkWcYSQiOSDgZCI\\\n",
       "yE9ERER4bQXQ8+fP2yy33LYAAG699Vaz95cuXfJKWHW0Mq696af2AmHFsXXr1uGrr76SwqGrEhIS\\\n",
       "Kp2+OW7cOJuBQa1W49VXX3V76uzq1atx8OBBHD58GCaTye17IOcwEBKRXDAQEhH5kf3793vlvC++\\\n",
       "+KLN8q+//tqqzDLQ3HLLLV7pk8FgsHvM3hfwyrZXeeihh/DAAw9UpVs4efKkW+0MBgPmzp0LhUKB\\\n",
       "nTt3unWOjh07onXr1m61JdcwEBKRXDAQEhH5EW9tLG7v2ThHI24VvPl8o6Npo/Xq1ZN+bteuHUpK\\\n",
       "SrzWjxslJiZW+Rx33XWX2XOU3mIwGGAwGMz2NSTnMBASkVwwEBIR+RFHq2lWxeXLl22WOxMgblx0\\\n",
       "xdLKlSuxfPlym0FWoVBg4MCBuPPOO+22dxRIT506hb1796K8vBx//fVXpRu+e1JwcHCV2g8YMMBr\\\n",
       "q8devnwZKpVKmqaqVqulRYHksM2IpzAQEpFc2P9XnIiIahxvLSxjK2g6mrJ5I1t79wHXVwEdMWIE\\\n",
       "gOt79zVo0EA6Z1BQEE6fPo3o6GgAwLFjx9C6dWurAOpoj02tVovu3bs71UdPq0ow79evH1atWuWV\\\n",
       "EGEymRAbG1ut24kQEZF/YyAkIvIjCQkJXjv3F198gdGjR0vvw8LCbNazHGWytbiJIAj49NNPpfex\\\n",
       "sbHQ6/V2r92yZUuYTCaUl5fj7bffhtFoxHPPPWc2EqfT6XDlyhWIoojatWt7dX/GypSWlrrcRqFQ\\\n",
       "QK/Xe22UrrS0FEFBQV45txy5MvLHEUIi8mecO0JEVIOVlpaioKAAO3fuRIMGDVBUVOS1az3++OOo\\\n",
       "V68eJk+eDJVKZTf01KlTx+x9fn6+VR13F5rRarWYPn06Zs6cKS0QU1hYCLVaDa1Wi7p16yIuLg6N\\\n",
       "GjVy6/z2PPbYY1CpVKhdu3alo2vNmjVz6xpHjhxxKwwWFxdj27ZtDkcl9Xo9w6CHccooEckFAyER\\\n",
       "UQ0WFBSEiIgI9OrVy+7WEJ6UlZWFhQsXOgxFa9asMXtvKzjOmTPHY32aO3eu1fTVrKwsjz1PeebM\\\n",
       "GaxYsQJGo1F6/s7edNndu3e7vcpogwYNXG7z4osvIiQkBH369IFSqcS6deus6hiNRrvTdsl9DIRE\\\n",
       "JBcMhEREfkSj0eDnn3/G0KFDfdaH3r17V1qnffv2Hrve1q1bbZZXtnG9s7p06WJVFhoaarNuz549\\\n",
       "3b7O8OHDXap/9OhRvPPOO2ZlDz/8MOrWrSsF9i1btjhc1Ifcx0BIRHLBQEhE5EeOHTuGfv36Ye3a\\\n",
       "tfjss8+q/fpHjhwxe29vlK5WrVoeu2a7du1slntq4ZRLly5Zldlb3dTWF3+VSoUtW7bg3LlziIuL\\\n",
       "s3udjRs3Oj2qee7cObv7DWZnZ0uriCYlJTl1PnIdAyERyQUDIRGRH7lxUZkbF4CpzODBg5Gfnw+d\\\n",
       "Todr164hNjbW5WsPHz4crVq1Miuz9UVYEASPLpxiOUpWobJn5oKDgyEIApo2beryNe3t93j58mXp\\\n",
       "3kJCQlBWVga9Xo8+ffqgfv36uHDhAm699Va751WpVA5D4dWrVxEZGYn4+HiX+0xEROQOBkIiIj+S\\\n",
       "mpoq/fzHH39UWt9gMEAURaSmpiI8PBxqtRrBwcG4ePEiRFHE+PHjnbquUqnEqlWrrMoFQcDUqVOl\\\n",
       "97fffrvH90qMioqyWW4vdJpMJgiCIG1Uf+rUKbvn6Ny5s81ye5vGR0REwGg0QhRFFBUV2Vxhddeu\\\n",
       "XTbbAtf3dVQqlXZHmaKiomwu0kPVjyOERCQXDIRERH5k6NCh+Pnnn3Hw4MFK9+DbtWuX3ZGuCkuX\\\n",
       "LnVqKwtHz6m98cYbMBgMMJlM2Llzp9Xx5ORkKJVKtG3bttLr2NOxY0ersi+++MJmXVsLrFy9etVq\\\n",
       "j8Py8nIcPHjQqm5AQECVRjjt9csbHn74YZSUlMBgMODatWt47733uMCMhzAQEpFcMBASEfmZu+++\\\n",
       "2+7I1o2cXQAlIyPD4QbwwPXw5EjFqJelf//9F7/88gtMJhMOHz5caUC1x9ZCNuPGjcPVq1fNymJi\\\n",
       "Yuw+WxgTEyP9nJeXZ/ee8/Ly3OojAKSnp+OJJ55wu70rysrKsGbNGgQGBkKpVCI4OBgTJ05EeXk5\\\n",
       "cnNzq6UPNzMGQiKSCwZCIiJCaWkpAgMDHdapbETSlpdeesnsvclkwgsvvODyeW7c5P5GUVFRZl/K\\\n",
       "HQWhvLw8qZ7lXoo3CgkJcbl/BoMBGo0GTZo0cbmtOzp27GhzumqF6OhozJo1q1r6crNiICQiuWAg\\\n",
       "JCIiAEBJSYnD1UH379+P5s2bu3ROW6FkyZIlLp1Dr9ejqKjIpTbuqiwU23LvvfdCrVZDr9d7oUe2\\\n",
       "7dixo9I606ZNq4ae3NwYBolIDhgIiYhIUtlUw3///dfsi7BSqcTbb79tt36HDh2syiqbnmqpOp+J\\\n",
       "s7chvS2iKCIkJAQ//fSTF3tkm719Em/kyZVeiYjo5sV/LYiIblJXrlxxq50rQcJkMuGll16yWrDF\\\n",
       "sk7Fs4OCILj0jF51hxq9Xo8XXngBRqMRer0eYWFhZgFYoVAgMTERffv2hUqlQnFxcbX2D3D+M6nO\\\n",
       "EcubEaeMEpFcMBASEd2kXF3VMzs7GxEREW5tG+HoC7EgCNIqpCaTyekRwpCQEIdB01sWLFgAlUoF\\\n",
       "jUZjNVVVFEVkZmZi69atHt9ewxmVPSd5oyNHjni5Nzc3BkIikgsGQiKim1RWVpZT9Tp06ABBEFC3\\\n",
       "bl23ntV78803narnypfmsrIyl0ffVCoVvvnmGzRr1syldu5ytBWHN7Rs2RJFRUUOn/O80aRJk7zb\\\n",
       "oZscAyERyQUDIRHRTWzkyJEOj4eFheGvv/5y69yCICA7OxtTpkxxq70j/fr1c6l+RZhNSUnBiRMn\\\n",
       "HC5+ExwcXKW+hYeHo7y8HHq9HqIoQq/X48yZMzh+/DiKiopgMBhQWlqK22+/vUrXuZEgCFi8eLFL\\\n",
       "ff/99989dn05YiAkIrlgICQiuomtWrXK7tRGo9Ho9uqda9asgclkMtvbz5P27dvnUv2vvvrKbCrq\\\n",
       "8ePHrb6kK5VKiKKIa9eu2d2rsDKZmZnIz883W+hGpVIhPj4ezZs3R0hICJRKJQICArBz5068+OKL\\\n",
       "bl3HkiiKSElJQWlpqVP1K6bokvsYCIlILhgIiYhucmq12mb5119/7db50tPT8fDDD1elSw6dOHHC\\\n",
       "bEGU3r174+zZs/jwww/ttsnOzrYq0+l00hf14OBgsxVEFQoFmjZt6lR/VCoVTp48CVEU0ahRIyfv\\\n",
       "4rr58+e7VN+RkpISBAUFYeHChZXWdbRHITmHgZCI5IKBkIjoJmcymaBQKKxGxUaMGOHyucLDw5GY\\\n",
       "mGj3+OnTp3HfffehTp060Gq1UCgUNr88KxQKtG3bFkeOHIFOp4Ner8e///6LiIgItGjRAqIoQqFQ\\\n",
       "ID8/H9u2bUODBg3w1FNPYevWrTav+8gjj6CsrMysTKVSoby8HNnZ2bh27ZpVm3nz5jm817Zt20pT\\\n",
       "Qquy4bynRgkrTJ48GYIgoFmzZjhy5AhKSkpQWlqK06dPo0uXLhAEweHooKtBpya+ysvLIYqiwxcR\\\n",
       "ETmnep+IJyIinxBFESqVCrfffjt+/fVXPP300ygvL3f5PO+8847N8gcffBDffPONS/05fPgw2rRp\\\n",
       "Y7eOUqlEeHi4Wdktt9xis25ZWRlCQ0OttlpQq9V2p7XWrVvXqkwQBGzfvh133HFHZbfgtPnz5+Pd\\\n",
       "d9/1+BTOkydPOvz8qGpcGfnjCCER+TMGQiIiGdm1a5fb0wlVKpXVVNGcnBzExsZ6omtWbO2jN2vW\\\n",
       "LLv1DQYD1Go1srOzERUVBYPBgLKyMgQHB9vcu2/ZsmUQBAGiKKJevXpIT0/32lTLgoIChIWFceTK\\\n",
       "jzAQEpFccMooERFZCQwMREpKCsaOHYvBgwfj3XffRUFBAUJCQqQ6b7zxhtfCYIUbA+jx48crfSbP\\\n",
       "YDCgdu3aUCgU0Gg0CAsLg0qlQteuXXH27FkUFhZi+fLlCA0NxerVqxESEoIrV67g/PnzXn3uLiQk\\\n",
       "BGVlZU5vKk++x2cIiUguOEJIRERWxo4di8WLF9s9XlJSgmnTpnm9H+vWrcP69esBwO3RNVEUceDA\\\n",
       "ATRs2NDmscjIyCr10VkVG91XddsLqh4cISQiueCvKomIyEploeXy5cvV1BN4dZEQW4vNeFNQUBAC\\\n",
       "AwO9ct7c3FyYTCYYjUYcOXKEK41WEUcIiUguGAiJiMjKxo0bHR63XOzFnzm7t5+ziouLoVaroVAo\\\n",
       "MHToUKvjAwcO9Oj1Dh8+jOLiYkRHR0sruLZq1QplZWUoLCzkNFUiInKI/0oQEZGVkydPOjweFBRU\\\n",
       "TT3xvhufi/SE0NBQGAwGiKKI9evXW43UbdmyxSPXUalUMBgMaN26tcO+GI1GnDt3DmFhYR65rlxw\\\n",
       "hJCI5IKBkIiIrNy4ibstN9MX4Ip9Gjdu3Ihz587h7rvvlvZPzMrKcvl8ltNbdTodlEol9u7dixkz\\\n",
       "ZiAvL69K/e3bty/Ky8uh1+uhVCqdalO/fn0UFBRwlVMXMBASkVxwURkiIrLJ0T6BP/30UzX3xrtE\\\n",
       "UcQDDzxgVV6vXj2PhCiTyYQePXpU6Ry//vor+vbtW+W+kHO4qAwRyQVHCImIyKa2bdvi6tWrVuUv\\\n",
       "vPAC7r//frOyrl274tKlS9DpdLh69SqeeeaZm2ZRk+LiYpfq79mzx+N9+OijjzwWBisW6fHnl1ar\\\n",
       "9fqIHUcIiUguGAiJyCa9Xo8pU6agbdu2CA4ORlxcHEaOHOnUFLoPPvgAjRo1QkBAALp37479+/eb\\\n",
       "HS8rK8OECRNQq1YthISEYNCgQcjJyfHWrfi1xMREqNVqn10/KioKgiBIi6QIgoAFCxaY1WncuDH2\\\n",
       "79+PWrVqQa1WIyIiAkuWLEFZWZnVF3mTyYRr166hf//+Proj182ePdul+rfccovTUzmdNW7cOI+e\\\n",
       "jyrHQEhEcsFASEQ2lZSU4ODBg3j11Vdx8OBBfP311zhx4gQGDBjgsN26deswefJkzJw5EwcPHkT7\\\n",
       "9u2RnJyM3Nxcqc7zzz+P7777DqmpqdixYweysrLw4IMPevuW/FJ6ejp0Oh30er1Pv3RWLJJiS1JS\\\n",
       "ktPnEQQBwcHB+P7772E0Gj3VPa96//33XW7j6e0s/OWzIiIi/8NASEQ2hYeHY/PmzXjooYfQvHlz\\\n",
       "3HLLLXj//feRlpaGs2fP2m23YMECjB07FqNHj0arVq2wbNkyBAUF4fPPPwcAFBQU4LPPPsOCBQvQ\\\n",
       "p08fdO7cGV988QV2796NvXv3Vtft+R2VSoX58+f7uhs2nTlzxq12CoUCTZo08XBvPK+srMzlNgEB\\\n",
       "AR7tw6+//lql9qIoori4GCUlJR7q0c2PI4REJBcMhETktIKCAgiCgIiICJvHdTod0tLSzEaMFAoF\\\n",
       "kpKSpOeq0tLSoNfrzeq0aNEC8fHxXnn26mbyn//8Bx06dPB1N6xs3rzZ7bb//vtvla7dqVMn3HHH\\\n",
       "HV79Ql4x3dVVnuzT3XffjW7dusFkMrncNioqCgqFAiEhIQgODvZYn252DIREJBcMhETklLKyMkyZ\\\n",
       "MgXDhg2zu5/ZpUuXYDQaERMTY1YeExOD7OxsAEB2djY0Go1VqLyxji3l5eUoLCw0e8nRoUOH8Msv\\\n",
       "v/i6G2aMRiPq16/vVltBEOzuA/jaa69BFEUYDAarzdXj4uIgiiLS0tKwY8cOmEwmiKKIxMREt/pR\\\n",
       "mcjISJfbeHqLhz/++ANKpRKCICA2NtapNkql0ubCQOQchkEikgMGQiICAKxevRohISHSa9euXdIx\\\n",
       "vV6Phx56CKIo4sMPP/RJ/+bNm4fw8HDp1aBBA5/0oya46667cPToUV93w8yFCxfw3//+1622y5cv\\\n",
       "t1k+bdo0ANdDzZEjR8yO7dixw2abU6dOudWHyri6h1/nzp290o8KOTk5uOWWWxzWOXv2rFsjinRd\\\n",
       "dY4QMlwSkS8xEBIRAGDAgAH4888/pVeXLl0A/F8YPHPmDDZv3mx3dBAAateuDaVSabViaE5OjjSi\\\n",
       "ERsbC51Oh/z8fLt1bJk6dSoKCgqk17lz59y805tDy5YtIYoidDodvvrqqxqxxcOIESNQWlrqcrv7\\\n",
       "7rvPZvmNX44tRyDtjdh580t127ZtK61TXl4OrVaLgwcPeqUPN9q3bx/S0tJsHrtw4QIaNmzo9T7c\\\n",
       "zKorEDIEEpGvMRASEQAgNDQUTZo0kV6BgYFSGDx58iR+/fVX1KpVy+E5NBoNOnfujC1btkhlJpMJ\\\n",
       "W7ZskTbl7ty5M9RqtVmdEydO4OzZsw437tZqtQgLCzN7EaBWq/Hggw+irKysyguPeEJQUJDNcpPJ\\\n",
       "hGPHjtlcLdPeFg0Gg0H6OSUlxezY33//bbcPw4cPd6Knrjty5IjdBWZycnKgVCoREBAAnU7nletb\\\n",
       "EgQBycnJCAsLk7YEqXi5O4WX/k91BML27dt7uNdERK5jICQim/R6PQYPHowDBw5g9erVMBqNyM7O\\\n",
       "RnZ2ttkX3r59+5otyz958mR88sknWLFiBY4dO4bx48ejuLgYo0ePBnB99dIxY8Zg8uTJ2LZtG9LS\\\n",
       "0jB69Gj06NGj0ilwchQTE4MGDRpgyJAhlT432bdvX2g0mmrqmX0vvPCC2XtRFKFSqdCqVSuoVCpE\\\n",
       "RESYTb9ctWqVzfM0atQIRqMRp06dMvsFAvB/00ltWblypdkXdEEQcOzYMWlxGIPBgE6dOrlzawgM\\\n",
       "DMSxY8ek93l5eVCpVIiNja226ZkKhQLLli1Deno6mjdvjqKiIo8/r0juycjIQOPGjaXXqFGjHNav\\\n",
       "+MUG//yIyJdUvu4AEdVMFy5cwP/+9z8AsFrZctu2bejduzeA6/vkXbp0STo2dOhQ5OXlYcaMGcjO\\\n",
       "zkaHDh2wadMms4VmFi5cCIVCgUGDBqG8vBzJyclYunSp1+/JH1Xs37hhwwZs2LABGo0G5eXldus/\\\n",
       "+eSTeO+996qrezYtWLAA7777rvT+1KlTZl94CwoKoFAopLB74MABm+e5cOEC1Gq1zS/LjkYIgesL\\\n",
       "3fz1119o0qSJ1aI1SqUSaWlpKCsrQ2BgoCu3BgBo1aqVy21sUavVOHLkCOLi4jBq1Ch89dVXlba5\\\n",
       "8b894PqzlGq12iP9IXOujPzdWC8jI8Ps5xUrVjhsM2jQoCr0koio6hgIicimRo0aOfVb69OnT1uV\\\n",
       "TZw4ERMnTrTbJiAgAB988AE++OCDqnRRlnQ6HZKTk/Hzzz/bPN6jRw+vB8KxY8diypQpSE5ORnp6\\\n",
       "eqX17U0JzcnJsXre1JK9v4OVbdQuCEKlW3QEBATg7NmziI+Pd1jPG9RqtdlI+4YNGzBgwAB89913\\\n",
       "dtt8/PHHZmEQuL4/pUKh4OIxXuBuILxxpduePXvarH/jqrkbNmxws4dERJ7BQEhE5GccbTtx+fJl\\\n",
       "r17baDRKX2ZPnTqF7t27Y//+/Vb1RFGUviR7I3DZe1bRVb5arfbixYtWZevWrXN4X2PHjrVZftdd\\\n",
       "d9n9BQG5z51AmJiY6NQvSW78RYflNQRBwMqVKzFixAgXektE5D4+Q0hEdBPJysry2rlffvllq/0A\\\n",
       "f//990rbqVSe/91j3bp1PXYuX6zQamuBJkf9cBRMXnnlFY/0icx5c1GZFi1aODzOMEhE1YkjhERE\\\n",
       "NZiri0288cYbeOONN7zUG2sqlcqpPtbkRTPsrRxa3RQKhVuf0x133FGjP19/5e6UUWfcuDCR5Tn4\\\n",
       "Z0lE1Y0jhERERERERDLFEUIiIiIiC94cIbSFI4NE5CsMhEREREQWqjsQEhH5CgMhERERkQUGQiKS\\\n",
       "CwZCIiIiIgsMhEQkFwyERERERBYYCIlILrjKKBERERERkUxxhJCIiIjIAkcIiUguGAiJiIiILDAQ\\\n",
       "EpFcMBASERERWWAgJCK5YCAkIiIissBASERywUBIREREZAODHhHJAVcZJSIiIiIikimOEBIRERFZ\\\n",
       "4JRRIpILBkIiIiIiCwyERCQXDIREREREFhgIiUguGAiJiIiILDAQEpFcMBASERERWWAgJCK5YCAk\\\n",
       "IiIissBASERywW0niIiIiIiIZIojhEREREQWOEJIRHLBQEhERERkgYGQiOSCgZCIiIjIAgMhEckF\\\n",
       "AyERERGRBQZCIpILBkIiIiIiCwyERCQXXGWUiIiIiIhIpjhCSERERGSBI4REJBcMhEREREQWGAiJ\\\n",
       "SC4YCImIiIgsMBASkVwwEBIRERFZYCAkIrlgICQiIiKywEBIRHLBVUaJiIiIiIhkiiOERERERBY4\\\n",
       "QkhEcsFASERERGQDgx4RyQEDIREREZEFjhASkVwwEBIRERFZYCAkIrlgICQiIiKywEBIRHLBQEhE\\\n",
       "RERkgYGQiOSC204QERERERHJFEcIiYiIiCxwhJCI5IKBkIiIiMgCAyERyQUDIREREZEFBkIikgsG\\\n",
       "QiIiIiILDIREJBcMhEREREQWGAiJSC64yigREREREZFMcYSQiIiIyII3Rwjt1RdF0aXzEBF5AkcI\\\n",
       "iYiIiCxUBEJnX57QvXt3j5yHiMgVDIREREREFrwZCEVRNHsFBwcDAPbv3++NWyEicohTRonopjd7\\\n",
       "9mxfd4GI/Iw7U0YzMjLQuHFjqbxnz55YsWJFpe2Li4vd6yQRkQcwEBIRERFZcPcZwoyMDLOfKwuE\\\n",
       "27dvl37mM4RE5AsMhEREREQekpiYKP3cs2fPSuvfeeedAACFgk/xEJFvMBASERERWXBnhDAxMRHp\\\n",
       "6ekuXaOC0Wh0rYNERB7CX0cRkVOeeuopCIKARYsWVVr3gw8+QKNGjRAQEIDu3btbLZRQVlaGCRMm\\\n",
       "oFatWggJCcGgQYOQk5PjpZ4TEbnOm4vKnD592qwNp4oSkS8xEBJRpb755hvs3bsXcXFxldZdt24d\\\n",
       "Jk+ejJkzZ+LgwYNo3749kpOTkZubK9V5/vnn8d133yE1NRU7duxAVlYWHnzwQW/eAhGRS7wZCBMS\\\n",
       "EqSfNRoNtFottFot7rnnHk/fBhFRpRgIicihCxcu4JlnnsHq1auhVqsrrb9gwQKMHTsWo0ePRqtW\\\n",
       "rbBs2TIEBQXh888/BwAUFBTgs88+w4IFC9CnTx907twZX3zxBXbv3o29e/d6+3aIiJxWHXsQ6nQ6\\\n",
       "6bVp0yYP9ZyIyHkMhERkl8lkwogRI/Diiy+idevWldbX6XRIS0tDUlKSVKZQKJCUlIQ9e/YAANLS\\\n",
       "0qDX683qtGjRAvHx8VIdIiJfq859CG98ERFVNy4qQ0R2vfXWW1CpVHj22Wedqn/p0iUYjUbExMSY\\\n",
       "lcfExOD48eMAgOzsbGg0GkRERFjVyc7Otnvu8vJylJeXS+8LCwudvAsiIiIisocjhEQEAFi9ejVC\\\n",
       "QkKk144dO7B48WIsX768ylOiPGHevHkIDw+XXg0aNPB1l4joJubNEUIiopqEgZCIAAADBgzAn3/+\\\n",
       "Kb12796N3NxcxMfHQ6VSQaVS4cyZM3jhhRfQqFEjm+eoXbs2lEql1YqhOTk5iI2NBQDExsZCp9Mh\\\n",
       "Pz/fbh1bpk6dioKCAul17ty5Kt0vEZEjDIREJBecMkpEAIDQ0FCEhoZK78eNG4f777/frE5ycjJG\\\n",
       "jBiB0aNH2zyHRqNB586dsWXLFqSkpAC4/hzili1bMHHiRABA586doVarsWXLFgwaNAgAcOLECZw9\\\n",
       "exY9evSw27+KVfiIiKqDO/sQEhH5IwZCIrKpVq1aqFWrllmZWq1GbGwsmjdvLpX17dsXDzzwgBT4\\\n",
       "Jk+ejFGjRqFLly7o1q0bFi1ahOLiYilEhoeHY8yYMZg8eTKioqIQFhaGZ555Bj169MAtt9xSfTdI\\\n",
       "ROQAAyERyQUDIRFVSXp6Oi5duiS9Hzp0KPLy8jBjxgxkZ2ejQ4cO2LRpk9lCMwsXLoRCocCgQYNQ\\\n",
       "Xl6O5ORkLF261BfdJyKyiYGQiOSCgZCInHb69GmnyiZOnCiNGNoSEBCADz74AB988IEHe0dE5DkM\\\n",
       "hEQkF1xUhoiIiIiISKY4QkhERERkgSOERCQXDIREREREFhgIiUguGAiJiIiILDAQEpFcMBASERER\\\n",
       "WWAgJCK5YCAkIiIissBASERywVVGiYiIiIiIZIojhEREREQWOEJIRHLBQEhERERkgYGQiOSCgZCI\\\n",
       "iIjIAgMhEckFAyERERGRBQZCIpILBkIiIiIiCwyERCQXXGWUiIiIiIhIpjhCSER+SRRFX3eBiGq4\\\n",
       "qvz/RFFRkdMjf0VFRW5fh4jI1xgIicgvFRUVYfbs2b7uBhHVYEVFRQgPD3epTceOHZGRkYEGDRq4\\\n",
       "fL2OHTu63IaIyNcEkb9mJyI/ZDKZkJWVhdDQUFk/v1NYWIgGDRrg3LlzCAsL83V3fIafw3X8HK4T\\\n",
       "RRFFRUWIi4uDQuH60zGDBw/GoUOHXGrTsWNHbNiwweVrERH5GgMhEZEfKywsRHh4OAoKCmQdAPg5\\\n",
       "XMfPgYiIXMVFZYiIiIiIiGSKgZCIiIiIiEimGAiJiPyYVqvFzJkzodVqfd0Vn+LncB0/ByIichWf\\\n",
       "ISQiIiIiIpIpjhASERERERHJFAMhERERERGRTDEQEhERERERyRQDIRFRDaLX6zFlyhS0bdsWwcHB\\\n",
       "iIuLw8iRI5GVlVVp2w8++ACNGjVCQEAAunfvjv3795sdLysrw4QJE1CrVi2EhIRg0KBByMnJ8dat\\\n",
       "VEll92IpNTUVLVq0QEBAANq2bYsff/zR7LgoipgxYwbq1q2LwMBAJCUl4eTJk968hSqbN28eunbt\\\n",
       "itDQUNSpUwcpKSk4ceJEpe1uxs+CiIi8h4GQiKgGKSkpwcGDB/Hqq6/i4MGD+Prrr3HixAkMGDDA\\\n",
       "Ybt169Zh8uTJmDlzJg4ePIj27dsjOTkZubm5Up3nn38e3333HVJTU7Fjxw5kZWXhwQcf9PYtucyZ\\\n",
       "e7nR7t27MWzYMIwZMwaHDh1CSkoKUlJScPjwYanO/PnzsWTJEixbtgz79u1DcHAwkpOTUVZWVl23\\\n",
       "5bIdO3ZgwoQJ2Lt3LzZv3gy9Xo9+/fqhuLjYbpub9bMgIiIvEomIqEbbv3+/CEA8c+aM3TrdunUT\\\n",
       "J0yYIL03Go1iXFycOG/ePFEURTE/P19Uq9ViamqqVOfYsWMiAHHPnj3e67wbKrsXSw899JDYv39/\\\n",
       "s7Lu3buLTz75pCiKomgymcTY2Fjx7bfflo7n5+eLWq1WXLNmjRfuwDtyc3NFAOKOHTvs1pHLZ0FE\\\n",
       "RJ7DEUIiohquoKAAgiAgIiLC5nGdToe0tDQkJSVJZQqFAklJSdizZw8AIC0tDXq93qxOixYtEB8f\\\n",
       "L9WpCZy5F0t79uwxqw8AycnJUv3MzExkZ2eb1QkPD0f37t1r1L1XpqCgAAAQFRVlt45cPgsiIvIc\\\n",
       "BkIiohqsrKwMU6ZMwbBhwxAWFmazzqVLl2A0GhETE2NWHhMTg+zsbABAdnY2NBqNVai8sU5N4My9\\\n",
       "WMrOzq703ivKnD1nTWMymTBp0iTcdtttaNOmjd16cvgsiIjIsxgIiYh8aPXq1QgJCZFeu3btko7p\\\n",
       "9Xo89NBDEEURH374oQ97Sb42YcIEHD58GGvXrvV1V4iI6Caj8nUHiIjkbMCAAejevbv0vl69egD+\\\n",
       "LwyeOXMGW7dutTs6CAC1a9eGUqm0WjE0JycHsbGxAIDY2FjodDrk5+ebjRLeWKcmcOZeLMXGxlZ6\\\n",
       "7xVldevWNavToUMHD/beOyZOnIjvv/8eO3fuRP369R3Wvdk/CyIi8jyOEBIR+VBoaCiaNGkivQID\\\n",
       "A6UwePLkSfz666+oVauWw3NoNBp07twZW7ZskcpMJhO2bNmCHj16AAA6d+4MtVptVufEiRM4e/as\\\n",
       "VKcmcOZeLPXo0cOsPgBs3rxZqp+QkIDY2FizOoWFhdi3b1+NundLoihi4sSJ+Oabb7B161YkJCRU\\\n",
       "2uZm/SyIiMiLfL2qDRER/R+dTicOGDBArF+/vvjnn3+KFy9elF7l5eVSvT59+ojvvfee9H7t2rWi\\\n",
       "VqsVly9fLh49elQcN26cGBERIWZnZ0t1nnrqKTE+Pl7cunWreODAAbFHjx5ijx49qvX+nFHZvYwY\\\n",
       "MUJ8+eWXpfq///67qFKpxHfeeUc8duyYOHPmTFGtVov//POPVOfNN98UIyIixG+//Vb8+++/xYED\\\n",
       "B4oJCQliaWlptd+fs8aPHy+Gh4eL27dvN/t7UFJSItWRy2dBRETew0BIRFSDZGZmigBsvrZt2ybV\\\n",
       "a9iwoThz5kyztu+9954YHx8vajQasVu3buLevXvNjpeWlopPP/20GBkZKQYFBYkPPPCAePHixWq4\\\n",
       "K9c5updevXqJo0aNMqu/fv16sVmzZqJGoxFbt24t/vDDD2bHTSaT+Oqrr4oxMTGiVqsV+/btK544\\\n",
       "caI6bsVt9v4efPHFF1IduXwWRETkPYIoiqJvxiaJiIiIiIjIl/gMIRERERERkUwxEBIREREREckU\\\n",
       "AyEREREREZFMMRASERERERHJFAMhERERERGRTDEQEhERERERyRQDIRERERERkUwxEBIREREREckU\\\n",
       "AyEREfmFzz77DP369fP6dTZt2oQOHTrAZDJ5/VpERES+xkBIREQ1XllZGV599VXMnDnT69e6++67\\\n",
       "oVarsXr1aq9fi4iIyNcYCImIqMbbsGEDwsLCcNttt1XL9R577DEsWbKkWq5FRETkSwyERERUbfLy\\\n",
       "8hAbG4s33nhDKtu9ezc0Gg22bNlit93atWtx//33m5X17t0bkyZNMitLSUnBY489Jr1v1KgR5s6d\\\n",
       "i5EjRyIkJAQNGzbE//73P+Tl5WHgwIEICQlBu3btcODAAbPz3H///Thw4ADS09Pdv1kiIiI/wEBI\\\n",
       "RETVJjo6Gp9//jlmzZqFAwcOoKioCCNGjMDEiRPRt29fu+1+++03dOnSxa1rLly4ELfddhsOHTqE\\\n",
       "/v37Y8SIERg5ciSGDx+OgwcPonHjxhg5ciREUZTaxMfHIyYmBrt27XLrmkRERP6CgZCIiKrVvffe\\\n",
       "i7Fjx+LRRx/FU089heDgYMybN89u/fz8fBQUFCAuLs7t6z355JNo2rQpZsyYgcLCQnTt2hVDhgxB\\\n",
       "s2bNMGXKFBw7dgw5OTlm7eLi4nDmzBm3rklEROQvGAiJiKjavfPOOzAYDEhNTcXq1auh1Wrt1i0t\\\n",
       "LQUABAQEuHWtdu3aST/HxMQAANq2bWtVlpuba9YuMDAQJSUlbl2TiIjIXzAQEhFRtUtPT0dWVhZM\\\n",
       "JhNOnz7tsG6tWrUgCAKuXr1a6XmNRqNVmVqtln4WBMFumeU2E1euXEF0dHSl1yQiIvJnDIRERFSt\\\n",
       "dDodhg8fjqFDh+K1117DE088YTU6dyONRoNWrVrh6NGjVscsp3lmZGR4pI9lZWVIT09Hx44dPXI+\\\n",
       "IiKimoqBkIiIqtW0adNQUFCAJUuWYMqUKWjWrBkef/xxh22Sk5Px22+/WZV/++23+Prrr5Geno7X\\\n",
       "X38dR48exZkzZ3DhwoUq9XHv3r3QarXo0aNHlc5DRERU0zEQEhFRtdm+fTsWLVqEVatWISwsDAqF\\\n",
       "AqtWrcKuXbvw4Ycf2m03ZswY/PjjjygoKDAr79+/P+bPn49WrVph586dWLp0Kfbv349Vq1ZVqZ9r\\\n",
       "1qzBo48+iqCgoCqdh4iIqKYTxBvX2SYiIqqhhgwZgk6dOmHq1KkAru9D2KFDByxatMij17l06RKa\\\n",
       "N2+OAwcOICEhwaPnJiIiqmk4QkhERH7h7bffRkhIiNevc/r0aSxdupRhkIiIZIEjhERE5Je8NUJI\\\n",
       "REQkJwyEREREREREMsUpo0RERERERDLFQEhERERERCRTDIREREREREQyxUBIREREREQkUwyERERE\\\n",
       "REREMsVASEREREREJFMMhERERERERDLFQEhERERERCRTDIREREREREQyxUBIREREREQkUwyERERE\\\n",
       "REREMsVASEREREREJFMMhERERERERDLFQEhERERERCRT/w9s7ufxmKwBQgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[31] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAdGdJREFUeJzt3Xd4FFXDNvB7drO76SEESKEl9G4o0n1AiUakCCIi0kVQmiKP\\\n",
       "oihdBRVF4KG9igoK0iwogkjvTZpKR0ggJCQhQBJI2zbfH3wZ2ZrdzW42ydy/69rL7JlzzpxZUPfO\\\n",
       "mTlHEEVRBBEREREREcmOwtsDICIiIiIiIu9gICQiIiIiIpIpBkIiIiIiIiKZYiAkIiIiIiKSKQZC\\\n",
       "IiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIpBkIiIiIiIiKZYiAkIiIiIiKSKQZC\\\n",
       "IiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIpBkIiInLJ7t27IQgCdu/e7e2hkJsd\\\n",
       "PXoUarUaV69eLfFz37p1CwEBAdi8eXOJn5uISI4YCImIyK7Fixdj+fLl3h6GS7777jvMmzfP28MA\\\n",
       "ABiNRnz88ceIiYmBr68vmjVrhtWrVzvcPjMzEyNHjkTlypUREBCARx99FCdOnLCot3btWgwcOBB1\\\n",
       "69aFIAjo3Lmz02N999130b9/f9SsWdPptsUVFhaGl156CVOmTCnxcxMRyZEgiqLo7UEQEVHp1aRJ\\\n",
       "E1SqVMliJtBoNEKr1UKtVkOhKJ2/X+zevTtOnz6NxMREbw8FkyZNwocffogRI0bg4Ycfxs8//4xN\\\n",
       "mzZh9erVeP755+22NRqNeOSRR/Dnn3/izTffRKVKlbB48WIkJSXh+PHjqFu3rlS3c+fOOH78OB5+\\\n",
       "+GGcOnUKzZo1c2oW99SpU2jevDkOHjyIdu3auXq5xXLu3Dk0atQIO3bswGOPPeaVMRARyQUDIRGR\\\n",
       "A3JychAQEODtYXiFrUBYFpSWQJicnIyYmBiMHDkSCxcuBACIoohOnTohISEBiYmJUCqVNtuvW7cO\\\n",
       "/fr1w/r16/Hss88CAG7evIl69eqha9eu+O6776S6SUlJqFq1KhQKhUt/dq+99ho2bNiAxMRECILg\\\n",
       "2gW7QdOmTdG8eXN88803XhsDEZEclM5f6RIReVBycjKGDx+OqKgoaDQaxMTEYNSoUdBqtQCA5cuX\\\n",
       "QxAE7NmzB6NHj0aVKlVQrVo1qf3ixYvRuHFjaDQaREVFYcyYMcjMzDQ5x6VLl9CnTx9ERETA19cX\\\n",
       "1apVw/PPP4+srCypzrZt29CxY0dUqFABgYGBqF+/Pt55550ix+9Iu4KCAkybNg116tSBRqNB9erV\\\n",
       "MXHiRBQUFFj0t3LlSrRu3Rr+/v4IDQ3Ff/7zH2zduhUAEB0djTNnzmDPnj0QBMHkFkRbzxCuX78e\\\n",
       "LVu2hJ+fHypVqoSBAwciOTnZpM7QoUMRGBiI5ORk9OrVC4GBgahcuTLeeOMNGAyGIj+Dn3/+Gd26\\\n",
       "dZP+DGvXro333nvPpG3nzp2xadMmXL16VRp7dHS0zT6HDh0q1TN/TZ8+vcgxFTVenU6H0aNHS2WC\\\n",
       "IGDUqFG4fv06Dh06ZLf9999/j/DwcDzzzDNSWeXKlfHcc8/h559/NvlzrV69erFmbDds2IDHHnvM\\\n",
       "Igza+hyio6MxdOhQ6X3hvz/79+/Hq6++isqVK6NChQp4+eWXodVqkZmZicGDByM0NBShoaGYOHEi\\\n",
       "rP1u+vHHH8fGjRutHiMiIvfx8fYAiIhKUkpKClq3bi09j9WgQQMkJyfj+++/R25uLtRqtVR39OjR\\\n",
       "qFy5MqZOnYqcnBwAwPTp0zFjxgzExcVh1KhRuHDhApYsWYI//vgDBw4cgEqlglarRXx8PAoKCjBu\\\n",
       "3DhEREQgOTkZv/76KzIzMxESEoIzZ86ge/fuaNasGWbOnAmNRoN//vkHBw4csDt+R9oZjUb07NkT\\\n",
       "+/fvx8iRI9GwYUP8/fff+Oyzz3Dx4kVs2LBBqjtjxgxMnz4d7du3x8yZM6FWq3HkyBHs3LkTTzzx\\\n",
       "BObNm4dx48YhMDAQ7777LgAgPDzc5viWL1+OYcOG4eGHH8bs2bORlpaG+fPn48CBAzh58iQqVKgg\\\n",
       "1TUYDIiPj0ebNm3wySefYPv27fj0009Ru3ZtjBo1yu7nsHz5cgQGBmLChAkIDAzEzp07MXXqVGRn\\\n",
       "Z2POnDkA7j8Hl5WVhevXr+Ozzz4DAAQGBtrs8+WXX0ZcXJxJ2ZYtW7Bq1SpUqVJFKsvIyLA7tkJB\\\n",
       "QUHQaDQAgJMnTyIgIAANGzY0qdO6dWvpeMeOHW32dfLkSbRo0cIi6LVu3Rqff/45Ll68iKZNmzo0\\\n",
       "LnuSk5Nx7do1tGjRoth9Ff7dnzFjBg4fPozPP/8cFSpUwMGDB1GjRg3MmjULmzdvxpw5c9CkSRMM\\\n",
       "HjzYpH3Lli3x2Wef4cyZM2jSpEmxx0NERDaIREQyMnjwYFGhUIh//PGHxTGj0SiKoih+/fXXIgCx\\\n",
       "Y8eOol6vl46np6eLarVafOKJJ0SDwSCVL1y4UAQgfvXVV6IoiuLJkydFAOL69ettjuOzzz4TAYg3\\\n",
       "b950avyOtPv2229FhUIh7tu3z6R86dKlIgDxwIEDoiiK4qVLl0SFQiH27t3b5HpE8d/PQhRFsXHj\\\n",
       "xmKnTp0szrNr1y4RgLhr1y5RFEVRq9WKVapUEZs0aSLm5eVJ9X799VcRgDh16lSpbMiQISIAcebM\\\n",
       "mSZ9Nm/eXGzZsqX9D0EUxdzcXIuyl19+WfT39xfz8/Olsm7duok1a9Yssj9rLl26JIaEhIiPP/64\\\n",
       "yd8DAA69vv76a5Nx1KpVy+IcOTk5IgDx7bfftjuWgIAA8cUXX7Qo37RpkwhA3LJli9V2tv7sbNm+\\\n",
       "fbsIQNy4caPFMQDitGnTLMpr1qwpDhkyRHpf+O9PfHy8yd+jdu3aiYIgiK+88opUptfrxWrVqlkd\\\n",
       "48GDB0UA4tq1ax0ePxEROY+3jBKRbBiNRmzYsAE9evRAq1atLI6b3yI3YsQIk+e6tm/fDq1Wi/Hj\\\n",
       "x5vM1IwYMQLBwcHYtGkTACAkJAQA8PvvvyM3N9fqWApnyn7++WcYjUaHr8GRduvXr0fDhg3RoEED\\\n",
       "ZGRkSK/CxTl27doF4P6tgUajEVOnTrWYeXLl2bFjx44hPT0do0ePhq+vr1TerVs3NGjQQPp8HvTK\\\n",
       "K6+YvH/kkUdw5cqVIs/l5+cn/Xz37l1kZGTgkUceQW5uLs6fP+/02M3l5OSgd+/eCA0NxerVq03+\\\n",
       "Hmzbts2hV3x8vNQmLy9Pmi18UOHnlJeXZ3c8xW3vqFu3bgEAQkNDi93X8OHDTf4etWnTBqIoYvjw\\\n",
       "4VKZUqlEq1atrP6ZF47B0RlZIiJyDW8ZJSLZuHnzJrKzsx2+/SwmJsbkfeGebPXr1zcpV6vVqFWr\\\n",
       "lnQ8JiYGEyZMwNy5c7Fq1So88sgj6NmzJwYOHCiFxX79+mHZsmV46aWX8Pbbb6NLly545pln8Oyz\\\n",
       "z9p9/suRdpcuXcK5c+dQuXJlq32kp6cDAC5fvgyFQoFGjRo59HkUxdbnAwANGjTA/v37Tcp8fX0t\\\n",
       "xhgaGoo7d+4Uea4zZ85g8uTJ2LlzJ7Kzs02OPficpqtGjBiBy5cv4+DBgwgLCzM5Zn5bqSP8/Pys\\\n",
       "Pr+Zn58vHfdke2eJbnhur0aNGibvC//uV69e3aLc2p954Ri8ubANEZEcMBASEdlQnC/Zn376KYYO\\\n",
       "HYqff/4ZW7duxauvvorZs2fj8OHDqFatGvz8/LB3717s2rULmzZtwpYtW7B27Vo89thj2Lp1q80V\\\n",
       "Jx1pZzQa0bRpU8ydO9dqH+ZfyL3F3qqa9mRmZqJTp04IDg7GzJkzUbt2bfj6+uLEiRN46623nJpx\\\n",
       "tWb+/PlYvXo1Vq5cidjYWIvjqampDvUTEhIi/R2KjIzErl27IIqiScC5ceMGACAqKspuX5GRkVLd\\\n",
       "Bzna3lGF4deRUF7IVni09edrrdxaH4VjqFSpksNjISIi5/GWUSKSjcqVKyM4OBinT592qX3hJt0X\\\n",
       "LlwwKddqtUhISLDYxLtp06aYPHky9u7di3379iE5ORlLly6VjisUCnTp0gVz587F2bNn8cEHH2Dn\\\n",
       "zp3SLZ22FNWudu3auH37Nrp06YK4uDiLV+EMXu3atWE0GnH27Fm753N0hsbW51NY5q5Nznfv3o1b\\\n",
       "t25h+fLleO2119C9e3fExcVZvc3R2dmlffv24Y033sD48eMxYMAAq3UiIyMdeq1du1ZqExsbi9zc\\\n",
       "XJw7d86kryNHjkjH7YmNjcWJEycswu6RI0fg7++PevXqOXWdtjRo0AAAkJCQYPX43bt3LcoKZ5zd\\\n",
       "rXAM5gvxEBGRezEQEpFsKBQK9OrVCxs3bsSxY8csjhd1m1xcXBzUajUWLFhgUvfLL79EVlYWunXr\\\n",
       "BgDIzs6GXq83adu0aVMoFArptr/bt29b9F8YCqzdGljIkXbPPfcckpOT8cUXX1jUzcvLk1ZM7dWr\\\n",
       "FxQKBWbOnGkRNB68voCAAIttNaxp1aoVqlSpgqVLl5pcw2+//YZz585Jn09xFc4wPThGrVaLxYsX\\\n",
       "W9QNCAhw+BbSGzdu4LnnnkPHjh2llUqtceUZwqeffhoqlcpkjKIoYunSpahatSrat29vMo7z589D\\\n",
       "p9NJZc8++yzS0tLw448/SmUZGRlYv349evToYfX5QldUrVoV1atXt/rvBwCLLUZ+++035Ofne2Rr\\\n",
       "iOPHjyMkJASNGzd2e99ERPQv3jJKRLIya9YsbN26FZ06dZK2ZLhx4wbWr1+P/fv3m2yLYK5y5cqY\\\n",
       "NGkSZsyYgSeffBI9e/bEhQsXsHjxYjz88MMYOHAgAGDnzp0YO3Ys+vbti3r16kGv1+Pbb7+FUqlE\\\n",
       "nz59AAAzZ87E3r170a1bN9SsWRPp6elYvHgxqlWrZnf7AUfaDRo0COvWrcMrr7yCXbt2oUOHDjAY\\\n",
       "DDh//jzWrVuH33//Ha1atUKdOnXw7rvv4r333sMjjzyCZ555BhqNBn/88QeioqIwe/ZsAPeX/1+y\\\n",
       "ZAnef/991KlTB1WqVJEWqHmQSqXCRx99hGHDhqFTp07o37+/tO1EdHQ0Xn/9dVf/2Ey0b98eoaGh\\\n",
       "GDJkCF599VUIgoBvv/3Waihp2bIl1q5diwkTJuDhhx9GYGAgevToYbXfV199FTdv3sTEiROxZs0a\\\n",
       "k2PNmjVDs2bNALj2DGG1atUwfvx4zJkzBzqdDg8//DA2bNiAffv2YdWqVSa3UU6aNAkrVqxAQkKC\\\n",
       "tG/is88+i7Zt22LYsGE4e/YsKlWqhMWLF8NgMGDGjBkm59q7dy/27t0L4P5zszk5OXj//fcBAP/5\\\n",
       "z3/wn//8x+5Yn376afz0008Wt7cCwLlz5/DUU0+hZ8+eSElJwfz58xESEoKDBw9i9erV6N+/v9Of\\\n",
       "jS3btm1Djx49+AwhEZGneWNpUyIib7p69ao4ePBgsXLlyqJGoxFr1aoljhkzRiwoKBBF8d9l861t\\\n",
       "TSGK97eZaNCggahSqcTw8HBx1KhR4p07d6TjV65cEV988UWxdu3aoq+vr1ixYkXx0UcfFbdv3y7V\\\n",
       "2bFjh/j000+LUVFRolqtFqOiosT+/fuLFy9etDt2R9tptVrxo48+Ehs3bixqNBoxNDRUbNmypThj\\\n",
       "xgwxKyvLpO5XX30lNm/eXKrXqVMncdu2bdLx1NRUsVu3bmJQUJAIQNoiwHzbiUJr166V+qtYsaI4\\\n",
       "YMAA8fr16yZ1hgwZIgYEBFhc37Rp00RH/td04MABsW3btqKfn58YFRUlTpw4Ufz9998txnPv3j3x\\\n",
       "hRdeECtUqCACsLsFRadOnWxuIWFtuwVnGQwGcdasWWLNmjVFtVotNm7cWFy5cqVFvcItORISEkzK\\\n",
       "b9++LQ4fPlwMCwsT/f39xU6dOln9O1r4Gbp6HSdOnBABWGxbAkCcMGGC2LdvX9HPz0+MjIwUFy5c\\\n",
       "KC5dulT09/cXX3rpJVEUbf/7Uzgu8y1TrP1dOHfunAjA5N8ZIiLyDEEUPXCfBxEREZVZXbp0QVRU\\\n",
       "FL799lupTBAETJs2DdOnT/f4+cePH4+9e/fi+PHjnCEkIvIwPkNIREREJmbNmoW1a9dKW4mUpFu3\\\n",
       "bmHZsmV4//33GQaJiEoAnyEkIiIiE23atIFWq/XKucPCwnDv3j2vnJuISI44Q0hERERERCRTnCEk\\\n",
       "IiKiInHJASKi8okzhERERERERDLFQEhERERERCRTvGWUiMoko9GIlJQUBAUFcSVCIjIhiiLu3r2L\\\n",
       "qKgoKBTO/+67d+/eOHXqlFNtYmNj8dNPPzl9LiIib+M+hERUJl2/fh3Lli3z9jCIqJSaMWMGkpKS\\\n",
       "UK1aNafa9e7dGxs2bHDpnL169WIoJKIyhzOERFQmBQUFAQBnB4nIpsL/TjjD2ZlBV9ta+29X4e/o\\\n",
       "3333XcyaNcviuFKphF6vd3l8RETWMBASUZnEIEhERSnufyccbe/um62++eYbq+UGg8Gt5yEiAhgI\\\n",
       "iYiIiCwIguBUoHQ2FD5Y3/w8SUlJVsdT+E8+7UNE7sRASERERGTGlUCYmJiImJgYqaxDhw5YuXKl\\\n",
       "W8cVHR3t1v6IiBgIiYiIiMw4GwgLJSYmmvzsjkDYu3dv6eeEhIRi90dE9CAGQiIiIiIzrgbCB2fw\\\n",
       "OnToUOxxvPvuu9Kqp5wdJCJPYCAkIiIiMuNKIIyOjnbrDN6Dq40GBQVxdpCIPML53VqJiIiIyKMe\\\n",
       "DIP+/v7Izs728oiIqLxiICQiIiIyUzhD6OjLWU2aNLFoW/jefB9CnU4HtVoNtVqNMWPGuOX6iIgK\\\n",
       "MRASERERmfF0IDxz5ozNY+ab0ut0Oum1ePFip89FRGQPnyEkIiIiMuNq0HMU9xIkotKCgZCIiIjI\\\n",
       "jKcDIRFRacFASERERGSGgZCI5ILPEBIREREREckUZwiJiIiIzHCGkIjkgjOEROSwDz/8EIIgYPz4\\\n",
       "8XbrrV+/Hg0aNICvry+aNm2KzZs3mxwXRRFTp05FZGQk/Pz8EBcXh0uXLnlw5EREzvH0KqNERKUF\\\n",
       "AyEROeSPP/7A//3f/6FZs2Z26x08eBD9+/fH8OHDcfLkSfTq1Qu9evXC6dOnpToff/wxFixYgKVL\\\n",
       "l+LIkSMICAhAfHw88vPzPX0ZREQOYSAkIrlgICSiIt27dw8DBgzAF198gdDQULt158+fjyeffBJv\\\n",
       "vvkmGjZsiPfeew8tWrTAwoULAdyfHZw3bx4mT56Mp59+Gs2aNcM333yDlJQUbNiwoQSuhoioaAyE\\\n",
       "RCQXDIREVKQxY8agW7duiIuLK7LuoUOHLOrFx8fj0KFDAICEhASkpqaa1AkJCUGbNm2kOtYUFBQg\\\n",
       "Ozvb5EVE5CkMhEQkFwyERGTXmjVrcOLECcyePduh+qmpqQgPDzcpCw8PR2pqqnS8sMxWHWtmz56N\\\n",
       "kJAQ6VW9enVnLoOIiIiIrGAgJCKbkpKS8Nprr2HVqlXw9fX16lgmTZqErKws6ZWUlOTV8RBR+cYZ\\\n",
       "QiKSC247QUQ2HT9+HOnp6WjRooVUZjAYsHfvXixcuBAFBQVQKpUmbSIiIpCWlmZSlpaWhoiICOl4\\\n",
       "YVlkZKRJndjYWJtj0Wg00Gg0xb0kIiKHMOgRkVxwhpCIbOrSpQv+/vtvnDp1Snq1atUKAwYMwKlT\\\n",
       "pyzCIAC0a9cOO3bsMCnbtm0b2rVrBwCIiYlBRESESZ3s7GwcOXJEqkNEVBpwdpCI5IAzhERkU1BQ\\\n",
       "EJo0aWJSFhAQgLCwMKl88ODBqFq1qvSM4WuvvYZOnTrh008/Rbdu3bBmzRocO3YMn3/+OQBI+xi+\\\n",
       "//77qFu3LmJiYjBlyhRERUWhV69eJXp9RES2OBP2GAqJqCxjICSiYrl27RoUin9vNmjfvj2+++47\\\n",
       "TJ48Ge+88w7q1q2LDRs2mATLiRMnIicnByNHjkRmZiY6duyILVu2eP05RSKiQgyERCQXgiiKorcH\\\n",
       "QUTkrOzsbMydO5dfxIjIqunTpyMrKwvBwcFOtYuJiUFiYiIqVapk8ssue4xGIzIyMhAdHY2EhARX\\\n",
       "hktE5DV8hpCIiIiIiEimeMsoERERkRneMkpEcsFASERERGSGgZCI5IKBkIjKvWnTpnl7CETkRjNm\\\n",
       "zPD4ORgIiUguGAiJiIiIzDAQEpFcMBASERERmWEgJCK54CqjREREREREMsUZQiIiIiIznCEkIrlg\\\n",
       "ICQiIiIyw0BIRHLBQEhERERkhoGQiOSCgZCIiIjIDAMhEckFAyERERGRGQZCIpILrjJKREREREQk\\\n",
       "U5whJCIiIjLDGUIikgsGQiIiIiIzDIREJBcMhERERERmGAiJSC4YCImIiIjMMBASkVwwEBIRERFZ\\\n",
       "waBHRHLAVUaJiIiIiIhkijOERERERGZ4yygRyQUDIREREZEZBkIikgsGQiIiIiIzDIREJBcMhERE\\\n",
       "RERmGAiJSC4YCImIiIjMMBASkVwwEBIRERGZYSAkIrngthNEREREREQyxRlCIiIiIjOcISQiuWAg\\\n",
       "JCIiIjLDQEhEcsFbRomIiIjMFAZCR1/u6P9BCQkJbjkPEVFRGAiJiIiIzHg6EBalVq1aVst79+7t\\\n",
       "9nMRkbwxEBIRERGZ8XQgFEVReplLSEiwqFetWjUAwIYNG1y+JiIiaxgIiYiIiEoRa7ODSUlJXhgJ\\\n",
       "EckBF5UhIiIiMuPKojKJiYmIiYmRyjt06ICVK1e6PAYfH35NIyLP439piIiIiMy4uspoYmKiyc/F\\\n",
       "CYRERCWBgZCIiIjIjKuBMDo6Wvq5Q4cOxRqDXq8vVnsiIkcwEBIRERGZcSUQRkdHmywI46orV65Y\\\n",
       "PEf44K2oRETuxEBIREREZMbTG9M3adIEZ86csdrPgyuPmvfdq1cvp89FRGQPVxklIiIiKmHmYdDc\\\n",
       "lStXrJb/9NNPnhgOEckYZwiJiIiIzHh6htDa/oMPiomJKbIOEZE7MBASERERWeFK0CMiKmsYCImI\\\n",
       "iIjMeHqGkIiotGAgJCIiIjLDQEhEcsFASERERGSGgZCI5IKBkIiIiMgMAyERyQW3nSAiIiIiIpIp\\\n",
       "zhASERERmeEMIRHJBQMhERERkRkGQiKSCwZCIiIiIjMMhEQkFwyERERERGYYCIlILhgIiYiIiMww\\\n",
       "EBKRXHCVUSIiIiIiIpniDCERUSlma+ZBFMUSHon3ZGdnIyQkxOX2RX1Wvr6+KCgocLn/skZOf3eK\\\n",
       "gzOERCQXDIRERGWMr6+vt4dQotLS0lxuq1KpiqwjpzBIjmMgJCK5YCAkIipjsrKyvD2EEvXXX3+5\\\n",
       "3Pb69et2jxsMBpf7pvKNgZCI5IKBkIiojPD19UVmZibUarW3h1KiGjRo4FK7J598ElWqVLFbJyoq\\\n",
       "yqW+qfxjICQiueCiMkRk0+zZs/Hwww8jKCgIVapUQa9evXDhwoUi261fvx4NGjSAr68vmjZtis2b\\\n",
       "N5scF0URU6dORWRkJPz8/BAXF4dLly556jLKNFEUpVdeXh40Go23h1TiGjdubPNYSkqKyWdkMBhw\\\n",
       "9+5dGI1G/Pbbb3b7zczMRHp6uktjio+Px7Fjx9CwYUOX2lPpVxgIHX0REZVVDIREZNOePXswZswY\\\n",
       "HD58GNu2bYNOp8MTTzyBnJwcm20OHjyI/v37Y/jw4Th58iR69eqFXr164fTp01Kdjz/+GAsWLMDS\\\n",
       "pUtx5MgRBAQEID4+Hvn5+SVxWVQGff/99ybvg4ODIYoiIiMjTcoVCgUCAwOL/IJ+69YthIaGujQW\\\n",
       "g8GALVu2oGXLljh79iyMRqNL/XiKQqHAJ598gjlz5jCoEBFRkXjLKBHZtGXLFpP3y5cvR5UqVXD8\\\n",
       "+HH85z//sdpm/vz5ePLJJ/Hmm28CAN577z1s27YNCxcuxNKlSyGKIubNm4fJkyfj6aefBgB88803\\\n",
       "CA8Px4YNG/D888979qKoTOrTpw9EUURubi78/PyKFXTCw8Ndnhk8e/YsFArT36UKggC9Xg8fH+//\\\n",
       "L3X37t3o1KmT9P6NN95AWFgYbt++7cVRlU28ZZSI5IIzhETksMLFTCpWrGizzqFDhxAXF2dSFh8f\\\n",
       "j0OHDgEAEhISkJqaalInJCQEbdq0kepYU1BQgOzsbJMXlX5HjhyRvljXqlWr2P35+/u7/OX7k08+\\\n",
       "gSAILodBADZvEVUqlWjVqpXL/bpDVlaWSRgsdOvWLSiVSi+MqGzjLaNEJBcMhETkEKPRiPHjx6ND\\\n",
       "hw5o0qSJzXqpqakIDw83KQsPD0dqaqp0vLDMVh1rZs+ejZCQEOlVvXp1Vy+FSshrr72Gtm3bSu8T\\\n",
       "EhIwZMgQr4zl6NGj0qy1q+rUqVPkObwlOzsbwcHBNo/r9XrZLUZUXAyERCQXDIRE5JAxY8bg9OnT\\\n",
       "WLNmjVfOP2nSJGRlZUmvpKQkr4yjPHPnhuUGgwELFiywKF+5cqXddgUFBUhJSXHbOAqNGDGi2H0U\\\n",
       "taCSIAglftuon58fjEYjgoKCiqxbUFCAe/fulcCoyg+GQSKSA+8/8EBEpd7YsWPx66+/Yu/evahW\\\n",
       "rZrduhERERYbiaelpSEiIkI6Xlj24IIgaWlpiI2NtdmvRqOR5QqbJeHSpUvS1g4ZGRkuL7byIH9/\\\n",
       "f6vl9gJTjRo1TIK+IwG1oKDAob8XR44cgZ+fn83jSqUS0dHRGDZsGOrXr49Dhw5h+fLluH37NtRq\\\n",
       "NTIyMiyeHbQmOzvb5rU7QqVSwcfHRwqXFStWRMOGDdG+fXs0a9YMderUQUREBIKDg10KnwEBAS6P\\\n",
       "TW74DCERyQUDIRHZJIoixo0bh59++gm7d+9GTExMkW3atWuHHTt2YPz48VLZtm3b0K5dOwBATEwM\\\n",
       "IiIisGPHDikAZmdn48iRIxg1apQnLoOKsHLlSmmlzH/++QcPP/xwsfrLzc2FVqu1emznzp1Wy7Va\\\n",
       "rcWsb/v27XHw4EGr9XU6ncktkAaDwW5g8/X1hSiKyMnJwb179xAUFARfX1+bbZ599ll8+umnNvuz\\\n",
       "xc/PD5MmTcLs2bMdbqNUKpGTk8NfeBARkVfwllEismnMmDFYuXIlvvvuOwQFBSE1NRWpqanIy8uT\\\n",
       "6gwePBiTJk2S3r/22mvYsmULPv30U5w/fx7Tp0/HsWPHMHbsWAD3f5M+fvx4vP/++/jll1/w999/\\\n",
       "Y/DgwYiKikKvXr1K+hIJwIwZM/D333/jwoULDoVBrVYLjUYDQRDg7++Pc+fOScfS09PtzkJ16NDB\\\n",
       "avmvv/5qUXbixAmb/Zg/DxcQEAC9Xl/U0BEQEIDw8HD4+/s7NOPnilmzZiEhIcGhur6+vtDr9QyD\\\n",
       "pRCfISQiueAMIRHZtGTJEgBA586dTcq//vprDB06FABw7do1ky/W7du3x3fffYfJkyfjnXfeQd26\\\n",
       "dbFhwwaThWgmTpyInJwcjBw5EpmZmejYsSO2bNkCX19fj18TWWdvoSBzD4aXvLw8NGrUqNjnN/87\\\n",
       "BgDdu3e3WvfDDz+0KMvPz0dYWJi0Eq63RUdHQxRF+Pn52d1f88FfrlDpwltGiUguGAiJyCZHnuHa\\\n",
       "vXu3RVnfvn3Rt29fm20EQcDMmTMxc+bM4gyPvODtt9/2SL8VK1aEUqmEwWCQysw3oy/0zjvvWC3P\\\n",
       "zs5Geno6qlSp4pExuiIvLw/VqlVDcnKyxbFdu3Z5YUTlI7xMmjTJ46umMhASkVzwllEiInLYRx99\\\n",
       "VKz29hZ20ev12Lt3L3788Ue7v4ywdyw8PBydOnUyCZbedv36dXTr1s2kLCAgwOqsKJUevGWUiOSC\\\n",
       "M4REROSQO3fuFLuP/Px8CIJgM9Q98sgjRfZhrz0A7N27V1qB09/fH/fu3fP6F/Zff/0Ver0eU6ZM\\\n",
       "wRNPPIFHH33Uq+OhonGGkIjkgjOERETkkLCwMLf1VZztD5zZgzI3N7fUbMju4+OD2bNnOxwGr1y5\\\n",
       "AoVCAUEQ8Mwzz3h4dGSOM4REJBcMhEREVKSvvvrKrRvX5+bmuty2atWquHfvnsOrhDqy+mhRdDod\\\n",
       "MjMzi92Po0RRRO3ataXP/KeffrK5QisREVFxMBASEVGRhg8f7tb+WrZsWaz2AQEBMBgM0Ol0Ht+y\\\n",
       "ISAgAGq1GqGhoRAEwS0BsyiHDh2yKDt48CCOHDlitX5+fr5bAztxhpCI5IOBkIiISlRMTAyOHTvm\\\n",
       "lr58fHyQn5+P7du3S88NmmvXrp3L/e/bt89iNlOlUrncn6MiIyOtlrdt2xbNmjVDZmYmLl26hKCg\\\n",
       "IAiCAD8/PygUCpw8edLjY5MLBkIikgsGQiIiciulUonDhw8jPz8fmZmZ2Lx5M2bNmoULFy5AFEVc\\\n",
       "uXLF7efs0qULdDod3nrrLZPygIAAHDx40OV+J06caLXc2gweABw5ckQKCDVq1HD5vDExMTaP/f33\\\n",
       "3wgNDUW9evVw7949k2OtW7d2+ZxkioGQiOSCgZCIiIr0119/OVRv06ZN0Ov1aNOmDTQaDUJCQtC1\\\n",
       "a1dMmjQJ9erV8/Ao729aL4oiCgoKYDAYLAKTs6ZMmWK1vH379hZlffv2Rdu2baX3SUlJ2LZtm9X2\\\n",
       "oijC398fgiDYnMFMSUlxery+vr5OtyHrGAiJSC647QQRERWpadOmMBgMqF+/Pv755x+L48HBwcjM\\\n",
       "zCw1X4zdtbLoU089ZfOYQqHAX3/9hZCQENSpUwdardaiTteuXa0+c6hUKqVn/g4fPoyKFSvi9u3b\\\n",
       "JnUiIyOxa9cup7aoMO+DXMdtJ4hILjhDSEREDlEoFLh06RJEUYQoitDpdNBqtRBFEVlZWeX2S/G0\\\n",
       "adOslouiiKZNm6JGjRpWwyAAGAwGq+3MF4Cxtcdj586d8cYbbzg0zvz8fIeebyw8f1l+aTQaztgR\\\n",
       "EbkJAyEREbnEx8enRBZY8bbp06e7fJ1KpdKizNmwMmfOHLsrqTZq1EgKSeQ+vGWUiOSCgZCIiEqc\\\n",
       "Xq8vke0b3CU5Odmldl988YXV8hYtWpi8t/ZM4oPy8/Otlt+9exdnzpxxaWxkHwMhEckFAyEREZWY\\\n",
       "l19+GYIgQKVSQaVSQRAEaDQanD171ttDA3B/IReFQiF9yS/cjD4sLMzqbJ89ffv2xbBhw6weO378\\\n",
       "OFJSUtCjRw8kJSXhwIEDRfZnNBrRtWtXVKlSBfv374coiggMDHRqTOQ4BkIikgsuKkNERCXipZde\\\n",
       "wpdffmlRrtVq0bhxY4tyQRAQGhqKQ4cOFXuFUqPRCIXC/u9Ak5OTUa1aNZOy0NBQ3Lx5E6GhoahY\\\n",
       "sSJu3rxptw9fX1/cvn0bfn5+RY4pMjISv/zyS9GD//8EQcDmzZsdrk/Fw0VliEguOENIREQu0Wq1\\\n",
       "0Ol0DtXV6XRWw6A9oiji9u3bqF+/PgRBgFKpREREBCIiIqBSqaBQKKDRaHD9+nWbfRQGQaVSCUEQ\\\n",
       "MGLECJt1zcNgoa1bt0KhUKBfv352xztu3Djk5eU5FAap9OMMIRHJBQMhERE5JTU1VbrVU61WIz4+\\\n",
       "vsg27tgGwmg0Ii0tDWlpadDr9RBFEVqtFtWrV8fzzz9vtY2Pj4/Jip7Lli1DpUqVLOrZu2X1+eef\\\n",
       "hyAImDt3rs06YWFhWLBggRNXQ0REVDowEBIRkUOSk5OhVqsRGRlpUr5161a77dy1J6A9a9euhY+P\\\n",
       "6VMQbdu2tdjeAQBu3boFlUoFo9EIACgoKLB6yyrw7zOFAKBSqayGSQDIyMiwO75169bB19cXFSpU\\\n",
       "QGJiYlGXQ6UAZwiJSC4YCImIyMLYsWOl2ywLX9WqVXP4FtFC/fr1c7qNqwwGA5o0aYJ79+7hmWee\\\n",
       "wZEjR2zW1ev10vX5+vparTN79myL8GvtGUJrew2aH+/Xrx8KCgqQlZWFmJgYCIKAvLw8B66KvMlT\\\n",
       "YXDFihVW+0lISPDAVRAR2cdFZYiIZOLevXswGAwIDg62+SX2+++/R9++fd12znXr1rmtL0ecOXMG\\\n",
       "QUFBxerjgw8+wDvvvGPzuCiK+Pjjj1GzZs0inysEgKtXr1ot9/f3l4JpSTAYDKhRo4bLW2jIjScX\\\n",
       "lRk6dKjV8lq1almd1SYi8iQGQiKicu7KlSuoXbu2SZkgCHjkkUfw9ddfIygoCB988AHmz5/vUv8l\\\n",
       "FWhKwrVr11C9evUi602cONHhPkNCQmweCw0NRXZ2tsN9ueru3bsIDg72+HnKk5JYZfTB8MfbTonI\\\n",
       "WxgIiYjKOfMwCNz/Irp3716rx5xla3VOAKhcuXKRWzWUFgqFwqEw6KywsDCbx+7du+f281nDMOg8\\\n",
       "VwJhYmIiYmJipPIOHTpg5cqVdtuJosgwSERexWcIiYhKscIVNV1VuLG6J1WuXNnmsfT0dDz33HPS\\\n",
       "F97CLSCKkp2dDVEUIYoiBg8ebLdu4Ub3xf1S/cknnxSrvT3R0dFWy0NDQ13u89q1a1Jo6dmzp816\\\n",
       "vAXRNa4uKpOYmCi9Vq1aZbXvHTt2mJynEP+siMgbGAiJiEqxwj33VCqVS+1LYmboypUrdo+vXbsW\\\n",
       "RqMRoijCYDBIW0bo9XqL2cX+/ftDFEWT5wBXrFhhcxZyyJAhMBqN0Gq1Di3SYm9z+tdff73I9q5K\\\n",
       "SEiwutpqenq6y33WrFlT+nnjxo3o2LGj1XqFq6lSyYiOjpZeAwYMsFqnS5cuVss5U0hE3sBASERU\\\n",
       "Buj1ejzxxBNOt1MoFBBF0W4QsuXevXvSLJ0oimjWrJnVerdv33a6b+D+s4dJSUkm5/juu++s1k1K\\\n",
       "SsKgQYOk94X7Cy5fvlwq02g0KCgosNo+MzNTCqSF58rOzsaqVauk67SloKDAZCbIx8cHWq3W6est\\\n",
       "KCiQxlAYkN35/OWBAwesPttYnp7xLEmuzBBGR0cjISFBetm7XRSAyd99IiJvYSAkIiojivpyaY/B\\\n",
       "YEBAQIBDdQVBgF6vt6j/559/unx+d/jmm29gNBphMBhsbmWhVqtx+vRpk7LMzEyrC7sEBQXhhRde\\\n",
       "KPJz8ff3N3lvMBig0WiQmprq5BXcp1AoPDYTNGfOHKvlJbFwTXnDfQiJSC4YCImISjmlUonTp0+j\\\n",
       "SpUqxernwoUL8PHxgVKpRFZWlsnshNFoREFBgTR7ZWtWKSkpqVhjKC5BEIqc7WzcuLHJtdlb5dMR\\\n",
       "tm65NN+jsKRNnTrVarm1Z06DgoJgMBjcsoiQXJREIGSgJKLSgIGQiKgUK3zWrnHjxsXu6+2335ae\\\n",
       "3zN/tlAQBKjV6iLDVrVq1Sz2+QsMDCz22MoqV2cJ3WHGjBlWy59++mmr5QqFAv/8848nh1SueDIQ\\\n",
       "1q1b12r56NGj3TF0IiKncNsJIiIZuHXrlnTLaeHza67OSmRnZ0vPJgJARkaG28ZZGqlUKpu3qCYl\\\n",
       "JSEiIqKER/SvyMhI3Lhxw6Rs8+bNXhpN+eLJfQgvXrzoypCIiDyCM4RERDLQtm1bk/eXLl0qVn9T\\\n",
       "p06FIAiIiIiARqMpVl+l3QsvvGDzWI0aNUpwJJZmzZrl1fMTEVHZx0BIRCQD5rcK1q9fv1j9TZ8+\\\n",
       "HdnZ2RazU+XR8uXL4efnZ/VYeHh4CY/GlK1tDR555JESHkn5w0VliEguGAiJiMqoy5cvSytWKhQK\\\n",
       "nDp1yqn2xVnq3mg0OrxqaXmQm5trsc/ftWvXvDSaf9m6lXX//v0lPJLyh4GQiOSCgZCIqAxKTU1F\\\n",
       "nTp1pFAniiKaN2+OY8eOOdyHKxuWF24mr9FoMHfuXKfbF4dOp8OVK1fw559/Iisrq0TPDQD79u2D\\\n",
       "KIrSfoLVq1cv8TGYa9eunc1j48aNK8GRlD8MhEQkFwyERERlULVq1ayWt27d2mr5mTNnLMqc3bC8\\\n",
       "S5cuUKlUSE5Ohl6vxxtvvAGDweBUH67Yvn27tApq7dq1ERsbiwoVKuCJJ54oVr96vR7+/v4QBAEq\\\n",
       "lcrmpvbm1Gp1sc7rDtnZ2ahatSr++usvm3UWLlxYgiMqfxgIiUguGAiJiMogW7N7tm4DbdSoEf76\\\n",
       "6y/pi6utWw1t+euvv7Bz506L8hYtWjjVj7P0ej0ef/xxq8eK2iLDHoPBAJVKhby8POk8vr6+LvdX\\\n",
       "6Nq1a8jPzy92P/aEhIQgJCQEKSkpRdbNzMz06FjKMwZCIpILBkIiojJozJgxVsvNVxN9UNOmTaUt\\\n",
       "J3x8nNt1yNbM4+nTp53qx1n2Fq3ZsmWLy/3aCn9Xrlxxqb+srCwIgoCaNWvCz8/P5iI0BoMBgwcP\\\n",
       "xvLly106z8KFC5Gdne1w/cqVK7t0HiIikg8GQiKiUuzll1/GF198YTHr9L///Q9Xrlwxue2za9eu\\\n",
       "OHTokEfGYWsGxNnbTp1l6zk9vV5vt51Op8Pt27etHjMajTbbf/XVV84N8P8zD175+fnw9/e3KPPx\\\n",
       "8cG3336LYcOGubRlxeuvv+5Ufb1ej8uXLzt9HuIMIRHJBwMhEVEp9vnnn2PkyJHw8/NDnTp1TI7F\\\n",
       "xMRAr9dDFEWIoujRDcn37Nljtfz333/32DkLGY1GdO3aFRUqVMDChQshiqLdINqwYUOo1WqEhYVZ\\\n",
       "va307t27Nts2bdrUpTFae5YyLy8PFSpUwO3bt7Fr1y6LWcOkpCQ899xz0ntRFKU/T2sKjzvL/O+N\\\n",
       "s0GnNL4KF/ax9youBkIikgsGQiKiMsKbMz2tW7dGlSpVTMpCQkLw6KOPevzcgiBg8+bNuHPnjs1b\\\n",
       "ZQtdv34d58+fl96Loog333zTpI69ZwV79erl0hhfe+01q+VZWVkICwvDY489ZvX4+vXroVAopJdK\\\n",
       "pYJCoUBUVJRFXVdmFAvJaYsQd2EgJCK5YCAkKuMSEhLwzTff4L333sOkSZMwd+5c7Nq1y+MLW5D8\\\n",
       "pKWlITc3F+vWrUNOTk6pXLCkfv36FmXz5883ea/RaGy2t3fMnuJswWFtRuvGjRtQq9XQ6XQQRRFT\\\n",
       "pkzB9evXXT5Hbm4upk+f7nJ7uWIYJCI5cG5VASIqNVatWoX58+fj2LFjCA8PR1RUFPz8/HD79m1c\\\n",
       "vnwZvr6+GDBgAN566y3UrFnT28MlN+jfv7+3hwA/Pz/07dvX28OwydrqqY7ePnj16tVinVsURbeG\\\n",
       "A51O59YtLmbMmIEZM2a4rb/yzpmwx1BIRGUZZwiJyqDmzZtjwYIFGDp0KK5evYobN27g+PHj2L9/\\\n",
       "P86ePYvs7Gz8/PPPMBqNaNWqFdavX+/tIVMx9e7dG999912x+xFFEd27d8eoUaPc8pxVaWNtlVXz\\\n",
       "WT9b112cWzILFWcrDFcEBQUxjBARUbFwhpCoDPrwww8RHx9v87hGo0Hnzp3RuXNnfPDBB0hMTCy5\\\n",
       "wZFbuTO0mc84LV26FKdPn0bjxo3ddg5vW7FiBWrVqmVSZj5ruGTJEot29hapycrKQnBwcJHBKysr\\\n",
       "y+b+kJ6g1WqhUqlgNBo9vtqrHHGGkIjkgjOERGWQvTBoLiwsDC1btvTgaKisGDdunEVZ8+bNvTAS\\\n",
       "z7G27555IHz77bct6tjaN/Cll15CpUqV0K5dO7vnFUURtWvXdmKkRVMqlQgNDbV6TKPRQKVSAYC0\\\n",
       "GA25FxeVISK5YCAkKifS09Nx+vRp/PXXXyYvokKff/65RZlOp8OyZcu8MBpT7poJ9fGxvPFFFEVp\\\n",
       "QZYLFy5Y3Xaic+fOVvv78ssvodfrceTIEQiCgGvXrpkcv3TpkrQy6K1bt4p/Af9fUFAQdDodbt26\\\n",
       "ZTWs3rlzx+T9xx9/7LZz030MhEQkFwyERGXc8ePH0aRJE0RGRqJZs2aIjY1F8+bNpX8SFbI1C5aU\\\n",
       "lFTCIzH16KOPQqFQQBAEhIeHW62TlZWF6tWrIyQkBF9++aXNvrZu3Wq1vEaNGmjdujUaNGhg9bi1\\\n",
       "VUIXL15sUVazZk0IggClUglBEFCvXj2X9ga0R6FQIDs7WwoaKSkpFnXM/yyL2o6DnMdASERywUBI\\\n",
       "VMa9+OKLqFevHg4ePIgrV64gISHB5J9Ehe7du2ex6EnVqlW9uvLkrl27sHv3bul9eno6BEHAgQMH\\\n",
       "IIoi8vPzERQUhAoVKuD69evIzs7GSy+9BEEQMGrUKIv+evfubfU8oiji2LFjNsdRt25dizJ7s27F\\\n",
       "eVZQoVDgf//7H8aMGWMRJFQqlcUm9xUqVDB5RtDajK6tW0Znz54NnU4HvV6PtLQ0zJo1y+Vxyw0D\\\n",
       "IRHJBReVISrjrly5gh9++AF16tTx9lColBMEAQaDAaIoun1LA1fZ2rC9Y8eORbZdunQpli5divDw\\\n",
       "cGi12iIXdQkNDUVWVpZF4IqNjbVa/9FHH8Xy5cuLHIezdDqdFMwXLlwIo9GIlJQUVKlSxeafiVar\\\n",
       "RcuWLdG/f38MHz7cap179+4hMDAQwP1bTrOzs02OV6lSBZMmTcKkSZPceDXeURK/xOCiMkQkF5wh\\\n",
       "JCrjunTpgj///NPbw6AyRBAEu2FQp9Nh6NCh2L9/v91+CgoKEB0dDR8fH/j4+CAoKAjPPvssrl+/\\\n",
       "LgVPe8aOHevS+M2lpaXhzp07dsNg7969kZGRAb1ejy1btsDHxweCIOCZZ57ByZMnrbaxd2uqqxQK\\\n",
       "hcUsrUKhQLVq1ez+mSgUCpw8eRITJ060WScgIEDa5N48DBIREdnCGUKiMm7ZsmUYMmQITp8+jSZN\\\n",
       "mljcOtazZ08vjYzKKo1GA1EUsWLFCoSGhuL27dsWdZYtW4YRI0aYlN27dw8//PADfvjhB4v6giCg\\\n",
       "T58+WLFiBZRKJbp164YdO3Z47BoeVLFiRfz444/S+/j4eKsb2JsrfK7RnVt/lMe9H8srzhASkVww\\\n",
       "EBKVcYcOHcKBAwfw22+/WRwrvEWQyFE1atQwCS137tyBSqUyCVBxcXFOhzlRFPH999/j+++/d9tY\\\n",
       "HbF+/Xo8++yzLrc3Go04ffo0mjZtardelSpVkJaWJr1Xq9VWQycDYdnBQEhEcsFbRonKuHHjxmHg\\\n",
       "wIG4ceMGjEajyYthkB50+fJlDBw4EKmpqTbrFG7P8CC9Xo85c+YAuD8LWFIze8U1bty4YoXBQk2a\\\n",
       "NDFZ+Macj4+PSRgE7t9Oa4357aJUenFRGSKSC/6fiaiMu3XrFl5//XWby/UTAUCnTp1Qp04drFq1\\\n",
       "CpGRkTafMbM1g/XOO+8gJSWlzKxSWbduXSxYsMBt/XXq1AkNGza0eszaTKAgCFa3uPDEIjXkGQyE\\\n",
       "RCQXDIREZdwzzzyDXbt2eXsYVIqJooi9e/ealIWEhFita+uLrVKpRMWKFTFgwAC3j8/dVCoVLl68\\\n",
       "6FQbURRx8+ZNHD16FAcPHkRCQgJycnKkgGw0GvHDDz+YfG4qlcruHoTnzp2Dj8+/T2ZUqFABgwYN\\\n",
       "cvJq3MdoNCI3N9dr5y9rGAiJSC74DCFRGVevXj1MmjQJ+/fvR9OmTS0WlXn11Ve9NDJyB5VKBX9/\\\n",
       "fyxcuBADBw506Yvn33//bbU8MTER0dHRJmVKpdJqyNm9ezd8fX3RuHFj+Pn5IS8vz+lxuFuFChWg\\\n",
       "UqmQkZEhBbeGDRvi7NmzTvXTr18/rFu3zuZxtVqNPn36YNKkSbhy5Qo0Gg38/Pwcuv1Tp9NBq9VC\\\n",
       "oVCYhMOSpNfrTf67wOcYiYjoQQyERGXcsmXLEBgYiD179mDPnj0mxwRBYCAs4/R6PbKzszF48GAM\\\n",
       "HjwYKpUKycnJqFy5ssN9zJ8/32p5vXr1oNVqHeqjbdu20s9nzpxBrVq1HD6/JygUCiQnJ8Pf379Y\\\n",
       "/SxdutRuGATu7wG4evVqXLt2Dfv27XM6lHt7v0eNRuPV85dVXFSGiOSCt4wSlXEJCQk2X1euXHHL\\\n",
       "ORYtWoTo6Gj4+vqiTZs2OHr0qN3669evR4MGDeDr64umTZti8+bNJsdFUcTUqVMRGRkJPz8/xMXF\\\n",
       "4dKlSy6NrXDfNVuvgoICp2/9Kk0vczqdDlWqVIEgCNi0aZNDn9HBgwetlut0OotnCa3NDj700EMm\\\n",
       "72NiYhw6b3HZ+5JtNBqLHbREUcS4ceMcrn/48OEy+cXf3v6MZFt5uGV0586dpXZsRFR6MBASlVM3\\\n",
       "btzAxx9/XOx+1q5diwkTJmDatGk4ceIEHnroIcTHxyM9Pd1q/YMHD6J///4YPnw4Tp48iV69eqFX\\\n",
       "r144ffq0VOfjjz/GggULsHTpUhw5cgQBAQGIj49Hfn5+sccrJ927d4cgCPD398fx48dt1vvnn39s\\\n",
       "HgsJCcHo0aNx+PBhm7c0Tp8+vbhDBfDv7a+O+OGHH2A0GqXbLa355ZdfijWemzdv2n0GkOStPATC\\\n",
       "xx57zNtDIKIygIGQqIx78cUXrb4GDhyI9957r9j9z507FyNGjMCwYcPQqFEjLF26FP7+/vjqq6+s\\\n",
       "1p8/fz6efPJJvPnmm2jYsCHee+89tGjRAgsXLgRwf1Zm3rx5mDx5Mp5++mk0a9YM33zzDVJSUrBh\\\n",
       "w4Zij1eO8vLy0KpVKwiCgOHDh5scu3HjRpGhZ8mSJWjXrp3NbUq2bdtmUaZUKp0eZ926dfHee+8V\\\n",
       "2VYQBDzzzDMA7C/c4siWEunp6dBoNBAEASqVCtOmTYNOp4PBYMDMmTOdGr87Vy0tSZUqVfL2EMqk\\\n",
       "8hAIC5X28RGRdzEQEpVxd+7cMXllZGTg6NGj2L17Nz755JNi9a3VanH8+HHExcVJZQqFAnFxcTh0\\\n",
       "6JDVNocOHTKpDwDx8fFS/YSEBKSmpprUCQkJQZs2bWz2SY776quvIAgCfH194efnh6ioqGL3uXTp\\\n",
       "UouyMWPGWJSpVCo8//zzaNy4sdV+kpKS0Lx5c5PnEa3p0qWLyXtBENC3b1+LeqIoWt03sdDFixcR\\\n",
       "Hh4uPSep1+sxc+ZMVKlSBV27dsWSJUvsjuNBr7/+OkaPHu1w/dLE1mw+2VeeAiFgeT1ERIUYCInK\\\n",
       "uJ9++snk9csvv+D06dOYOXNmsWfcMjIyYDAYLPY4DA8Pt7m5eWpqqt36hf90pk/g/kbf2dnZJi+y\\\n",
       "raCgwG234Fp7Bm3atGkm76OionDz5k189913OHTokNXbPPPy8hAUFISJEyfanSX8v//7P4syWwvj\\\n",
       "DB482GY/7du3t1qemZmJHTt2OPxsna+vb7F/ueJNgiDAz8/P28MgLyl8ntrWL2qIiBgIicqp/v37\\\n",
       "Y/fu3d4ehtvMnj0bISEh0qt69ereHpKsTJkyxeR9xYoVodfrkZubC1EUkZycjJCQEAiCgKCgILRo\\\n",
       "0cKiD4PBgIYNG6Jnz57QarVYsmSJRXCsW7eu1RVMIyMjrY7L1h6coiji1q1bNq/HmYVWrl+/7tAW\\\n",
       "Ew/2fffuXSQnJ6OgoMDhdp6Um5trdVaX7CuLs4O2xrRgwQKTBbeIiAoxEBKVU3/++SeaN29erD4q\\\n",
       "VaoEpVKJtLQ0k/K0tDRERERYbRMREWG3fuE/nekTACZNmoSsrCzplZSU5PT1kOvef/99iy+RSqXS\\\n",
       "5sxTZmamRZlKpUJAQACA+7cev/LKKzAYDBBFETqdDkaj0e6G8r6+vlbLJ0+ebFG2cuVKm/04S6fT\\\n",
       "FVknJycHwcHBEAQBSqUSwcHBqFatGnx9fSEIAm7cuOG28bhq4cKFDAJOKA+3jD44ri5dupTacRKR\\\n",
       "d3EfQqIybsKECRZlaWlp+Pnnn9GtWzeT43PnznWqb7VajZYtW2LHjh3o1asXgPuzHzt27MDYsWOt\\\n",
       "tmnXrh127NiB8ePHS2Xbtm1Du3btANzfsiAiIgI7duxAbGwsACA7OxtHjhzBqFGjbI5Fo9FwPzUv\\\n",
       "q1mzJq5du+ZQ3cuXL1uUde7c2WZ9RzZtHzRoEL744guL8g8++ADTpk0z2Xx9yJAhDo3TETExMcjL\\\n",
       "y7N5XKvVIjAw0G4fUVFR2L17Nzp16uS2cZFnORP0SlvQenA8giDwFwFEZBcDIVEZd/LkSavlDz/8\\\n",
       "MNLT06UFJVz9wjJhwgQMGTIErVq1QuvWrTFv3jzk5ORg2LBhAO4/w1W1alXMnj0bAPDaa6+hU6dO\\\n",
       "+PTTT9GtWzesWbMGx44dw+effy6NY/z48Xj//fdRt25dxMTEYMqUKYiKipJCJ5VOSUlJKCgoKDKY\\\n",
       "v/POO1a/gM6bN69Y5//Pf/5jNRAC9395ERAQgP/+97/48MMP3foFOD8/H7NmzcI777xj9XjFihUd\\\n",
       "6qdz5844efKk9IsQKt3KciAURZG31RORwxgIico4W89QuUu/fv1w8+ZNTJ06FampqYiNjcWWLVuk\\\n",
       "RWGuXbtm8nxV+/bt8d1332Hy5Ml45513ULduXWzYsAFNmjSR6kycOBE5OTkYOXIkMjMz0bFjR2zZ\\\n",
       "ssXmLYH2FPVFTKPRlOnfjpe2L5r+/v7Q6/VWx2U0GtGtWzds2bLFatsaNWoU69zffPON3eM5OTlO\\\n",
       "byXhqHfffReTJk2yet05OTkO99O8eXOkpKTYfCaSSo+yHAgB2F2Bl4joQQyERFSksWPH2rxF1NrC\\\n",
       "NX379rW6TUAhQRAwc+ZMj315L0+MRiNSU1NRtWrVUhFsjUYjFAoFGjZsCH9/f1y8eBG5ubkwGo1F\\\n",
       "ji81NRW1a9d2+bw7duxwqa27PProoxZ/311Z7TYqKgr5+fm8BbqUK6uBUBRFaTxBQUG4e/duqRof\\\n",
       "EZU+XFSGqAx68skncfjw4SLr3b17Fx999BEWLVpUAqMiTxAEAZGRkU6tilkSzp07h+PHj+Pu3bvS\\\n",
       "wjBFadmyZZF1YmNjpS/ivr6+mDRpEn766SdUrFjR65/Bnj17LMouXbrkUl++vr4wGAzFHRKRVYUr\\\n",
       "iWZnZ5tsmbJ8+XLvDYqISi3OEBKVQX379kWfPn0QEhKCHj16oFWrVoiKioKvry/u3LmDs2fPYv/+\\\n",
       "/di8eTO6deuGOXPmeHvI5Abbtm3D448/7u1huCwrKwubNm1Ct27drB7XaDTSJvLA/b0UP/zww5Ia\\\n",
       "nkPee+89ky04zPfTdIaPjw+MRiNnb0qpsjpDaO6///0v/vvf/3p7GERUijEQEpVBw4cPx8CBA7F+\\\n",
       "/XqsXbsWn3/+ObKysgDc/2LSqFEjxMfH448//kDDhg29PFpyl7i4OG8Podi6d++OgwcPSqvOFhox\\\n",
       "YoRJGCytpk6dahIIo6KiitWfr69vqdmrkEyVl0BIRFQUBkKiMkqj0WDgwIEYOHAggPuzL3l5eQgL\\\n",
       "CzNZfp/KFx8fH+j1eotyQRDg4+Pj0J553ta+fXsMGTIEX3/9tbRH37Jly7w9LIft378fHTt2BACn\\\n",
       "Nqy3RqvVIj8/36UFlcizGAiJSC74DCFRORESEoKIiAiGwXKuffv2FmWNGjWC0WiEVquFwWBAlSpV\\\n",
       "TI6HhIQgKSkJ9+7dQ7NmzSzax8XFoWvXrh4bszUrVqyAUqlExYoVUbVq1RI9d1ECAwORlJRkdcEk\\\n",
       "AHjkkUdM3hc3FD64ZyeVHuVhY3oiIkdwhpCIqBRr0aIFYmNj8corr6BixYqoXLmyRZ1ff/1V+lmh\\\n",
       "UCAtLc1mf99//z3q1asHAAgICMC9e/dMjpfkF1tRFHHnzp0SO9+DlEolAFgs7JKQkIDo6GgAQLVq\\\n",
       "1UxWbHyQIAgICwuDVqst9mI3X375JZYuXVqsPgDg1q1bePzxx1GtWjX8/PPPDCnF5OkZQqVSafXv\\\n",
       "TmlYTZiI5IUzhEREpdjJkyfx9ddfo02bNqhfvz4OHjxoMQtct25dHDhwwKFg8uDzb3Jc5VIQBOTn\\\n",
       "50Ov10Ov18NoNGL+/PmoW7cuzp49K4XBB9naWuLWrVu4e/duscdk7RZge/bu3YvIyEiEhISgXr16\\\n",
       "aNGiBTQaDSpVqoSTJ09i48aN6NGjR7HHRZ5TpUoVr6+aS0RUiIGQiKiMMBqNyMjIsJiNMBgM6Nix\\\n",
       "I5RKJdRqNf755x+bfaxbt076OT8/HxcvXpTenz592v2DdjOFQoHHH38c8fHxLs3KmO//JwgCXn31\\\n",
       "VVy8eNHmAkxBQUEObZlRHBMnTiyyjsFggEqlQqdOnZCamors7GxcunQJJ0+etFiQZ/v27Tb7cfZW\\\n",
       "yNL4KigokLZWsPUqLk/eMnrz5k0A8Mi4iYicxUBIRFSG6PV6uwvH6HQ61K1b1+rsg06ns/jCWb9+\\\n",
       "fahUKmg0GjRt2tTt43W3pKQkbN26FVu2bIHRaMSmTZscfoZv9OjRUKvVLp332LFjLrVz1Jw5cxAZ\\\n",
       "GYlPPvkER48eRUZGBvR6PURRhF6vx6BBg2wuKGQNbxctvpJ4hpDPIRJRacBASFTGDRkyBHv37vX2\\\n",
       "MKiEODqLEBYWZlFWoUIFq3X1er3LWz5Uq1YNWVlZyM7OxlNPPeVSH44aMWKExTYPTz31FAwGA0RR\\\n",
       "hMFgwL1793Dz5k2kpqZiy5YtqFOnDlQqFRo0aIBFixYV6/zXr18vVvuipKam4s0330SbNm1QuXJl\\\n",
       "qFQqKBQKqFQqrFy50qm+GC6Kz5VAmJiYiJiYGOlVuAq0M+ckIippDIREZVxWVhbi4uJQt25dzJo1\\\n",
       "C8nJyd4eEpUCmZmZqFq1KnQ6HXQ6HapVq4bc3Fy3niMsLAxJSUkIDg5GUFAQNm3ahOTkZLRr1w4V\\\n",
       "K1aEv7+/U19wFQoFPvjgA9y5cwfJyckYNGgQ/Pz84Ovri7lz5+Lzzz8vsn1AQAAqVaqE8PBwxMfH\\\n",
       "49KlS8jPz3fL7bBVq1a1ORt57NgxGI1GGI1G6HQ67N+/3+XZSHfIz8+3KBNF0eO3vpYnrs4QJiYm\\\n",
       "Sq9Vq1bZPQdvFSWi0oCrjBKVcRs2bMDNmzfx7bffYsWKFZg2bRri4uIwfPhwPP3009yGQsZSUlIQ\\\n",
       "EhICAMjLy3N7/9a2ZYiKisKePXug1WohiiIuXbqE+Ph46ZkpW3x8fJCSkiKtolqhQgV88803WLZs\\\n",
       "GfLy8hAcHOzyOIu7LcSD+vTpg/Xr15uURUREmAQtHx8fdOjQAXfu3EFQUJBXFg8pvNXUx+ff/83r\\\n",
       "9XqcOXOmxMdSVrm6yuiDCxN16NDB3cMiInI7zhASlQOVK1fGhAkT8Oeff+LIkSOoU6cOBg0ahKio\\\n",
       "KLz++uu4dOmSt4dIXpKXl1esMKhWq01CRaGuXbuiSZMmVtuoVCoEBAQgMDAQzZs3R3p6OoxGI0aP\\\n",
       "Hm21bk5ODnQ6ndUtNdRqNUJCQkr0Vjp7q6+uW7fO5JcsCoXC5qy8v78/DAaDtMWFuRYtWkgzuJ07\\\n",
       "dy7WmK2pWLGiyXulUonQ0FC3n4f+FR0djYSEBOnl7K2+RETewEBIVI7cuHED27Ztw7Zt26BUKvHU\\\n",
       "U0/h77//RqNGjfDZZ595e3hUhkREREAURRQUFEiL0Zw/fx6vv/46bt68ic2bNzvVnyAIWLRokTRz\\\n",
       "lZubC1EUodVq4e/v76Gr+Jcjt+QZjUYoFAr4+PhAEASsXbvWaj2tVotly5Zh0qRJ0Ov1Rc5A6vV6\\\n",
       "i0C7Y8cOHD9+HD4+PvDx8cGuXbtMVnx1h7t375o8X6xQKJCSkuLWc5RnJb2oDBGRtzAQEpVxOp0O\\\n",
       "P/zwA7p3746aNWti/fr1GD9+PFJSUrBixQps374d69atw8yZM709VCoDfH19cevWLdy4ccPiWP36\\\n",
       "9TF37lxUqlSpWOdQKpXw8/MrVh/OeuGFFzBv3jy7dSpVqmQSHJ9//nmbdYcPH45Zs2Y5/EXeaDRi\\\n",
       "5MiR6NixI3Q6HR577DGLOnXr1oUoinj33Xcd6tMR5tfA4OE4TwZCW7+g4LOEROQNDIREZVxkZCRG\\\n",
       "jBiBmjVr4ujRozh27BheeeUVk2euHn30UZsrTBKdPn1aWtgiLy/P4lbDsu7pp5/GmjVr8Prrr9ud\\\n",
       "zcvMzLQoc2eA+r//+z/s27fP6i24D3r//felPw+j0Yhx48a5fM7evXu73JYcD4Wu4B6ERFRaMBAS\\\n",
       "lXGfffYZUlJSsGjRIsTGxlqtU6FCBSQkJJTswKhMUCgUaNy4sbeH4VEPbtIuiiLatGljtV6fPn2s\\\n",
       "lh8+fNgj43KEIAhYsGAB+vbt61L7hQsXunlE8lESt4wSEZUGDIREZdygQYPg6+vr7WFQGeXOFThL\\\n",
       "K/M9GY8ePWq13vr1662uyvv777+bvJ8xYwYUCgUEQUDbtm3dN1A7vvvuO6fbbNy40WpQsTYzVdZe\\\n",
       "Go3G4wGNgZCI5KL8fxMgIirDmjVrVuQthsWh1+s91rc5T9wSd+vWLaxevdru1g5///23RVlOTo7V\\\n",
       "ulqtFh9//LH0Bb969eqYPHmydHzNmjWYPn26dC1HjhyBIAhIS0srzmUUyZm/A/7+/sjKykL37t09\\\n",
       "OKLyj4GQiOSCgZCIqBT7888/odPpkJ6e7rFzFPWc2d69e6FQKKBQKPDbb7/ZrJeYmIh27dph/Pjx\\\n",
       "uH37NvR6PRISEhAQEABBEKRZtZCQEJOtMAoKChAZGSl9sVYoFLh+/XqR4x4wYAAqVaqEF154AUql\\\n",
       "EgEBAVbrhYSEWCxiY28rjjfffBNGoxGiKOLatWsm20bY2mg8IiICderUKXLM7vb2229bzJ7l5OQU\\\n",
       "a99GIiKSFwZCIqIyoHLlyjZntYprw4YNNo/pdDp06tRJChtPPfUUdu7caVEvLCwMMTExOHz4MObP\\\n",
       "n4+wsDCoVCrUqlULubm5JnWzs7Ph7+8vBUBfX1+kpqZKx0VRRPXq1S3amTO/jTI3N9dmm9zcXOnW\\\n",
       "akEQXN6Pb+nSpTaPXb58GYIg4Ndff3Wp76KYb3Kem5uL2bNne+RcxBlCIpIPBkIiojLC398fXbp0\\\n",
       "8UjfthZOeeqppyzKzMdw+/Zt3L592+1jsjfLZev207t379psk5eXh0OHDuHEiRM2N4svStWqVYv8\\\n",
       "8t+jRw+rgcHPzw/r1q1z6bwAsH//fmzfvh0HDhyAKIolvnWH3DAQEpFcMBASEZUhW7du9Ui/o0eP\\\n",
       "tlq+b9++Itu2aNHC3cMBABgMBpvHbH0BDw8Pt9tn27Ztba7G66grV6641C4/Px/9+vWDQqFAcnKy\\\n",
       "S3106dIF7du3d6ktOYeBkIjkgoGQiKgM8dSqoJcuXbJartVqi2xrbRN7d7F322jt2rWln+vWrYt7\\\n",
       "9+55bBwPio6OLlZ7URTRtGnTEtl3zmAwwGAwwGg0wmg02g3ZZIqBkIjkwnNL1xERkdt5alVQW88n\\\n",
       "OhJa7N1++d5778FgMGDGjBkWfQmCgObNm6OgoABnzpyx2l6n09ns+/z580hMTER0dLRHV2K1xt/f\\\n",
       "v8hnHG1RKBRYvHixx0LEvXv3EBoaavPvCjdAd4wzQY+BkIjKMgZCIqIy5OzZsx7p11pIcHQ2SaVS\\\n",
       "WV21s3fv3tKWDUOHDkWtWrWk7SHUajUuXryImjVrAgBOnjyJli1bWozD3h6bPj4+XlnZE4DdbS7s\\\n",
       "EQQB8+fPR79+/dw8ovtEUUTFihVLdDsRIiIq2xgIiYjKCFEU0bx5c4/1/+WXX2L48OHS+6CgIKv1\\\n",
       "zGdDNBqN1Xo//vij9HPNmjXtBszmzZvDaDRCq9Vi/vz5UKlUGDFihEnfer0e9+7dgyAICAoK8tjt\\\n",
       "s47Iz893uo1arUZBQYEHRnNfQUGB3QBNzuEMIRHJBZ8hJCIqxZKSknDixAn0798fKpXK5ZkpR7z0\\\n",
       "0ksIDw/HmDFjoFQqbe7VFxgYaPI+Ozvbos4jjzzi0hjUajXefPNNjB8/XtpXMD8/H2q1GiqVCqGh\\\n",
       "oahQoQLq1q3rUv+2TJ48GT4+PqhUqVKRM6OFs5rOcnUl1qysLKxZs8bun71er2cYdDM+Q0hEcsFA\\\n",
       "SERUitWoUQMtW7bEmjVrSmRBkPT0dCxevNhu+DDfi8/arNdHH33ktjEtWrTI4lnCK1euuO1ZuPT0\\\n",
       "dHzwwQcwGAy4desWfHx8bD67uGvXLly7ds2l87iyTcTw4cNRoUIF9O/fH0qlEvPnz7eoYzQaoVKp\\\n",
       "XBoT2cZASERywUBIRFSGCIKAOXPmeGw/Qke88MILRdZp1KiR2863YcMGq+W2FsJxVuPGjS3KCmcn\\\n",
       "zT322GMun2fhwoVO1b9w4QK++uork7Lx48ejYsWK0i8Htm7d6vKeimQfAyERyQUDIRFRGXLkyBG8\\\n",
       "8cYb2L59O1avXl3i59+7d6/Je1uzdPY2lXdWkyZNrJa7a8Y0IyPDoszWDKG1L/5KpRJ79uxBcnIy\\\n",
       "IiMjbZ7ntddec3hW89atW2jQoIHVY3fu3IGPjw8EQUB8fLxD/ZHzGAiJSC4YCImIypBWrVpJPzuz\\\n",
       "UuXEiRORm5sLvV6P3NxcREVFOX3uRx991OLZQGtfhN39BXnWrFlWy/39/e228/PzgyAIqFWrltPn\\\n",
       "tLVgTWZmpnQsMDAQBQUF0Ov1+M9//oOoqCikpKTY3TheqVTaDYV5eXmIiopCpUqVnB4zERGRKxgI\\\n",
       "iYjKkPXr10s/Hzx4sMj6BoMBoijio48+gp+fH5RKJfz8/JCcnAxRFDFv3jyHzqtQKLBz506rx5Ys\\\n",
       "WSL93KNHD7cvfBMaGmq13NatkkajEYIgSCuBJiQkICwszGrd2NhYq+W2ZgiDg4Olz/Tu3btQq9UW\\\n",
       "dfbt22e1LXB/RlWhUNicZfL398eNGzdstqeSwxlCIpILBkIiojKkX79+WL16NbZt24aOHTvarfvn\\\n",
       "n38WuTXDa6+9ZjLraIu9fl555RUYjUaIoohffvnF4njfvn2hVCrRsGHDIs9ji7VQuG3bNqt1rYU0\\\n",
       "ayt86nQ6/Pnnnxblvr6+xdrSYuXKlS63dVaPHj2kmd+cnBwsXLiQC8y4CQMhEckFAyERURnzwgsv\\\n",
       "4IknniiyXrNmzRzq748//rC5iEqhojY6t/WF+Pr16/j+++9hNBpx/vx5l4NWxYoVLcqefPJJixVO\\\n",
       "7e13WKNGDenn7Oxsq8ERuP+MnquuXr2KIUOGuNzeGfn5+fjll1+kmV9/f3+MGTMGWq3W5S0u6F8M\\\n",
       "hEQkFwyERESEe/fuFflMnq3bK+158803Td6LooiRI0c63c+VK1eslhfO5hXehmlvS4ikpCQIggCF\\\n",
       "QoGQkBCb9VzZz89gMECtViM6Otrptq5o3rw5NBqNzeOhoaGYO3duiYylvGIgJCK5YCAkIiIA97dx\\\n",
       "qFChgs3jf/75J2JiYpzqc8qUKRZl5lspFOXy5ct2F2IRRdGpPQnt1S1qptSarl272t270BMOHDhQ\\\n",
       "ZJ1XX321BEZSvjEMEpEcMBASEZVTrmzcbm0LhgclJiaafBFWKBRWQ18ha/sR2pvZMmcwGFCnTh2H\\\n",
       "6xeXrVBn7bMURRG+vr7YsmWLp4dlwZFN7ovzHCQREckH/29BRFRO2bt90h5nZjxEUcT7779vN3wa\\\n",
       "jUaTFUGdeUbPx8fH4bruoNVq8cEHH8BoNEKv18Pf318KvoUhODg4GNHR0VAqlRbPMJYERz8TrVbr\\\n",
       "4ZGUb7xllIjkgoGQiKiceuihh5yqf+HCBfj7+7s0s2jvC7EgCNDr9dKtnbYWczHnaD13mzx5MpRK\\\n",
       "JVQqFfLy8iyO3717F1evXnXpcyouQRCQlZXlUN2tW7d6eDTlGwMhEckFAyERUTnlaHAICwuDIAho\\\n",
       "0KCBS7NKo0aNcrpNUfLz851+Js/HxwcbN25EvXr13D4ea0o6BNStWxd5eXlFLv5TyJXFe+hfDIRE\\\n",
       "JBcMhERE5djLL79s97hKpSrWFgUJCQlYvHixy+1t6dmzp1P1w8PDkZOTg+7du+PChQuoX7++zboh\\\n",
       "ISHF+gLv5+eHnJwcae9FvV6PjIwMpKenQ6vVSrebvvjiiy6fw5pFixY59fxlamqqW88vNwyERCQX\\\n",
       "DIREROXY559/bvPWRq1WW+T+grYsXboUoih6bJuFffv2OVX/xx9/NLnF9Pz58xZf0n18fCCKIjIz\\\n",
       "M23uVViUxMRE5ObmmszSKZVKhIWFoXLlylCpVBAEAUqlEl9++SU+//xzl85jTc+ePZGfn+9Q3Vu3\\\n",
       "brntvHLFQEhEcsFASERUztlahOSzzz5zqb+LFy8WOfNYHMnJySaLtXTr1g03btzAggULbLZJTEy0\\\n",
       "KNPpdNIX9eDgYJNbUAVBQN26dR0aj1qtRlpaGkRRRM2aNR28ivtGjBjhtrCQn58PPz8/zJw50249\\\n",
       "vV6PSpUqueWccsZASERywUBIRFTOGY1GKBQKGI1Gk/LJkyc73VdAQIDdIHXp0iW0b98ewcHBUKlU\\\n",
       "Jqtzmm9X0bRpU1y8eBF6vR4GgwHJycmoVKkSqlWrBlEUIQgCsrOz8euvvyIiIgLjxo3D6tWrrZ53\\\n",
       "6NChFgvAKJVK6HQ6ZGZmWn2e8s0337R7rc2bN4coiigoKECVKlUc+HSs+/TTT11ua820adMgCALC\\\n",
       "w8Oxbds26XbVH374Qfrc7XE26JTGV0FBgbRIka0XERE5pmTX8yYiIq8QRRFKpRIdOnTAzp07MWDA\\\n",
       "AJduF503b57V8r59++L77793ajynT5+2+6yfQqFAUFCQSVnXrl2t1tXpdAgMDLS4FVSpVCIkJMRq\\\n",
       "G1uzOj///LPTzzDa8/rrr+ONN96wCOTFlZ6ejieeeMKtfdK/nJn54wwhEZVlDIRERDJy4MABpxYm\\\n",
       "eZBSqcTAgQNNyu7evYvg4GB3DM2Ctef8+vXrZ7N+4X6H6enpqFixIoxGI7RaLTQajdVN2j/66CPp\\\n",
       "55CQENy4ccOhDd9dkZOT4/KWHuQdDIREJBe8ZZSIiCyo1Wp06dIFffv2RVxcHGbOnIl79+7B19dX\\\n",
       "qrNx40aPhcFCjRo1kkLUxo0b8fvvv9utbzQaUalSJSgUCvj4+MDf3x9KpRI1a9bE3r17ceHCBfTs\\\n",
       "2RNKpRL//PMPfHx8cPXqVWRmZnosDAKAr68vtFotg0MZwmcIiUguOENIREQWRo0aZfP2UOD+wiXu\\\n",
       "vK3SlnPnzlmd3XPWtWvX0KlTJ4tyQRBQo0aNYvfvCB8fH+Tl5ZmEaiq9OENIRHLBGUIiIrJQtWpV\\\n",
       "u8fNF3Apqx5cebQkaDQai+ci3SEsLAzZ2dkwGo0wGAzYunWrW4K0nHGGkIjkgv+3ICIiC2vXrrV7\\\n",
       "/ME9/8o6R/f2c9Tdu3ehVCohCAKaN29ucXzMmDFuPd/t27eRkZGBoKAgaQXXxx9/HAaDAdevX2dY\\\n",
       "ISIiuxgIiYjIwp9//mn3eFFbG5QlAQEBbu0vODhYWlH01KlTUCqVJsdXrVrllvOoVCoYjUaEhoba\\\n",
       "rFO1alUYjUbcuHEDERERDIdO4AwhEckFAyEREVkoakuK8rRaZuE+jV988QVOnTqF+vXrS1/yr127\\\n",
       "5pb+BUHApk2b8NZbbyEpKalY/TVu3BgFBQVOLVITERGBGzduuH3ri/KMgZCI5IKLyhARkVVbtmzB\\\n",
       "k08+afXYjz/+WMKj8SxRFDFy5EiL8po1azodfgVBsNqme/fuLo8PABYsWIBx48YVqw9yHBeVISK5\\\n",
       "4AwhERFZ1bVrV5w/f96i/MUXX8Rzzz1nUhYbG4vbt29Dp9MhKysL48ePLzfPGebk5DhV//Tp024f\\\n",
       "w5QpU9wWBkVRLPMvjUbj8Rk7zhASkVwwEBKRVTqdDm+99RaaNm2KgIAAREVFYfDgwUhJSSmy7aJF\\\n",
       "ixAdHQ1fX1+0adMGR48eNTmen5+PMWPGICwsDIGBgejTpw/S0tI8dSllWo0aNbz6vF7Dhg2lhUoK\\\n",
       "v/h+/fXXJnVq1KiBkydPIjQ0FD4+PggODsZnn32GgoICq1/mc3Nz0aNHDy9dkfOmT5/uVP1GjRpZ\\\n",
       "PDdYXDNnznRrf1Q0BkIikgsGQiKyKjc3FydOnMCUKVNw4sQJ/Pjjj9Km3vasXbsWEyZMwLRp03Di\\\n",
       "xAk89NBDiI+PR3p6ulTn9ddfx8aNG7F+/Xrs2bMHKSkpeOaZZzx9SWXS1atXodVqYTAYvPql095t\\\n",
       "k7ZuK7XFz88Pv/zyS5l5nm3hwoVOt7l3755bx1DUM51ERESuYiAkIqtCQkKwbds2PPfcc6hfvz7a\\\n",
       "tm2LhQsX4vjx43YX2pg7dy5GjBiBYcOGoVGjRli6dCn8/f3x1VdfAQCysrLw5ZdfYu7cuXjsscfQ\\\n",
       "smVLfP311zh48CAOHz5cUpdX5igUCvz666/eHoZVri68IggCGjdu7ObRuF9BQYHTbdy9+fymTZuK\\\n",
       "1T4/Px8XLlzA1atX3TSi8o8zhEQkFwyEROSwrKwsCIKAChUqWD2u1Wpx/PhxxMXFSWUKhQJxcXE4\\\n",
       "dOgQAOD48ePQ6XQmdRo0aIAaNWpIdci6p556Cn379vX2MCxs3brV5bbFfd4uLCwM1atXL1YfRSkN\\\n",
       "K6r26tULtWvXdmmmUKlUws/PDw0aNEB0dLT7B1dOMRASkVwwEBKRQ/Lz8/HWW2+hf//+CA4Otlon\\\n",
       "IyMDBoMB4eHhJuXh4eFITU0FAKSmpkKtVluEygfrWFNQUIDs7GyTlxytW7fOI4uWFIfRaERERITL\\\n",
       "7W39gmHChAkQRREGgwEKhen/roKCgiCKIjIyMnDt2jXp+cTijMOVMdriidthr1y5ApVKBUEQoNFo\\\n",
       "HGojCEKZuTW3NGIYJCI5YCAkIgD3N8sODAyUXvv27ZOO6XQ6PPfccxBFEUuWLPHK+GbPno2QkBDp\\\n",
       "5elZodKscePGbtkfz53S0tKwdOlSl9ra2sLik08+AXB/ltn8em3dXuzIokeuyMrKcqq+v7+/R8ZR\\\n",
       "SKvV2t2QHnD9Vl66ryRnCBkuicibGAiJCADQs2dPnDp1Snq1atUKwL9h8OrVq9i2bZvN2UEAqFSp\\\n",
       "EpRKpcWKoWlpadLMTUREBLRaLTIzM23WsWbSpEnIysqSXsXd3Lusq169OkRRhE6nw7Zt2zweQBwx\\\n",
       "atQop7doAICOHTtaLX/wy3GlSpVMjkVFRdls46kv1fXq1Suyzs2bN6FQKFx67tBZmZmZmDp1qtVb\\\n",
       "WjMyMlCzZk2Pj6E8K6lAyBBIRN7GQEhEAO7fglenTh3p5efnJ4XBS5cuYfv27QgLC7Pbh1qtRsuW\\\n",
       "LbFjxw6pzGg0YseOHWjXrh0AoGXLllCpVCZ1Lly4gGvXrkl1rNFoNAgODjZ5EeDj44O4uDjk5OTg\\\n",
       "n3/+8fZwEBgYaPOYrZU3zW8HLfTg83IvvPCCybHLly/bPM9jjz1mb4guu3Tpks3Ae+PGDSgUClSp\\\n",
       "UqVEnzmcPXs21Gq1RTipXLlyiY2hvCqJQNikSRM3j5qIyHkMhERklU6nw7PPPotjx45h1apVMBgM\\\n",
       "SE1NRWpqKrRarVSvS5cuJsvyT5gwAV988QVWrFiBc+fOSbNGw4YNA3B/9dLhw4djwoQJ2LVrF44f\\\n",
       "P45hw4ahXbt2aNu2bYlfZ2kXGRmJ6OhoDB06FLm5uXbr1q5du1QE5ZdeesmiTKlUIigoCIIgWMxc\\\n",
       "rVy50mo/UVFRMBgMuHz5ssVtpe+8847N82/bts2ibPny5TAYDDAajUhPT3d5FdDAwECTRXSSkpKg\\\n",
       "VCoRFRVVokHwqaeewrfffovg4GBuSVGKJCYmIiYmRnoNHDjQbv0zZ84AKB0LFxGRfPl4ewBEVDol\\\n",
       "Jyfjl19+AQDExsaaHNu1axc6d+4M4P5MTUZGhnSsX79+uHnzJqZOnYrU1FTExsZiy5YtJgvNfPbZ\\\n",
       "Z1AoFOjTpw8KCgoQHx+PxYsXe/yayqLChXZWrFiBFStWwNfXF3l5eTbrL1myBAMGDCip4Vn15Zdf\\\n",
       "YtmyZdL7GzdumCxscu3aNQiCgKioKISHh+PkyZNW+7l58yZ8fKz/b+rIkSM2z1+4kMrOnTvRvHlz\\\n",
       "VKxY0eR45cqVkZeXh/Pnz6Nhw4bOXBoAID4+3uk21iiVSly6dAmRkZF48cUXsXr16iLbfPjhh3jr\\\n",
       "rbek93369CkVtwuXR87M/D1YLzEx0eRnW7/wKGzTq1cvl8dIROQODIREZFV0dLRDv7V+8MtPobFj\\\n",
       "x2Ls2LE22/j6+mLRokVYtGhRcYYoS/n5+Xj++eexZs0aq8fr16/v8TF0794dH3zwAeLj4+2uDFvI\\\n",
       "1gxWSkqKy4vA6HQ6u8cFQUCXLl3s1mnQoAF+++03dO3a1aUxFIdSqTT5XL777jvk5eVhw4YNNtuM\\\n",
       "GDHCJAwCgJ+fHwRB4AyTB7gaCB/c2qNDhw5F1v/pp59cGyARkZvwllEiojJm7dq1No85EtCKw2Aw\\\n",
       "YOPGjWjWrBlu3LiBZs2aWa33YECJjIx0+zhCQkLc0s+TTz7pln6cdePGDYsye3+uAPD5559bLX9w\\\n",
       "T09yH1eeIYyOjkZCQoL0sjU7aO08D75fsWKFx66LiMgcAyERUTly9epVj/X9/PPPWywAc/z48SLb\\\n",
       "2brtszgcWfHTUSqVym19Ocraoi+ujmPmzJnFHQ5Z4clFZerWrWv3+JAhQ4ozdCIip/CWUSKiUszZ\\\n",
       "WwFHjx6N0aNHe2g0lnx8fBwaY2m+pfHBRZK8ydVbP9u2bVuqP9+yytVbRh1x8eJFm33wz5KIShpn\\\n",
       "CImIiIiIiGSKM4REREREZjw5Q2gNZwaJyFsYCImIiIjMlHQgJCLyFgZCIiIiIjMMhEQkFwyERERE\\\n",
       "RGYYCIlILhgIiYiIiMwwEBKRXHCVUSIiIiIiIpniDCERERGRGc4QEpFcMBASERERmWEgJCK5YCAk\\\n",
       "IiIiMsNASERywUBIREREZIaBkIjkgoGQiIiIyAoGPSKSA64ySkREREREJFOcISQiIiIyw1tGiUgu\\\n",
       "GAiJiIiIzDAQEpFcMBASERERmWEgJCK5YCAkIiIiMsNASERywUBIREREZIaBkIjkgoGQiIiIyAwD\\\n",
       "IRHJBbedICIiIiIikinOEBIRERGZ4QwhEckFAyERERGRGQZCIpILBkIiIiIiMwyERCQXDIRERERE\\\n",
       "ZhgIiUguGAiJiIiIzDAQEpFccJVRIiIiIiIimeIMIREREZEZzhASkVwwEBIRERGZYSAkIrlgICQi\\\n",
       "IiIyw0BIRHLBQEhERERkhoGQiOSCgZCIiIjIDAMhEckFVxklIiIiIiKSKc4QEhEREZnhDCERyQUD\\\n",
       "IREREZEVDHpEJAcMhERERERmOENIRHLBQEhERERkhoGQiOSCgZCIiIjIDAMhEckFAyERERGRGQZC\\\n",
       "IpILbjtBREREREQkU5whJCIiIjLDGUIikgsGQiIiIiIzDIREJBcMhERERERmGAiJSC4YCImIiIjM\\\n",
       "MBASkVwwEBIRERGZYSAkIrngKqNEREREREQyxRlCIiIiIjOenCG0VV8URaf6ISJyB84QEhEREZkp\\\n",
       "DISOvtyhVatWbumHiMgZnCEkIiIiMuPJGULzmcCAgADk5ubi+PHjTvVDROQODIREVO7NmDHD20Mg\\\n",
       "ojLGlUCYmJiImJgYqbxDhw5YuXJlke1zc3NdGyQRkRswEBIRERGZcXWGMDEx0eTnogLhzp07pZ/5\\\n",
       "DCEReQMDIREREZGbREdHSz936NChyPpdunQBwK0riMh7GAiJiIiIzLgyQxgdHY2EhASnzlHIaDQ6\\\n",
       "N0AiIjfhKqNE5JBXXnkFgiBg3rx5RdZdtGgRoqOj4evrizZt2uDo0aMmx/Pz8zFmzBiEhYUhMDAQ\\\n",
       "ffr0QVpamodGTkTkPE+uMpqQkGDShreKEpE3MRASUZF++uknHD58GFFRUUXWXbt2LSZMmIBp06bh\\\n",
       "xIkTeOihhxAfH4/09HSpzuuvv46NGzdi/fr12LNnD1JSUvDMM8948hKIiJziyUBYq1Yt6WeVSgW1\\\n",
       "Wg21Wo0nnnjC3ZdBRFQkBkIisis5ORnjxo3DqlWroFKpiqw/d+5cjBgxAsOGDUOjRo2wdOlS+Pv7\\\n",
       "46uvvgIAZGVl4csvv8TcuXPx2GOPoWXLlvj6669x8OBBHD582NOXQ0TksJLYg1Cn00mvbdu2uWnk\\\n",
       "RESOYyAkIpuMRiMGDRqEN998E40bNy6yvlarxfHjxxEXFyeVKRQKxMXF4dChQwCA48ePQ6fTmdRp\\\n",
       "0KABatSoIdUhIvI2T84QiqJo80VEVNK4qAwR2fTRRx/Bx8cHr776qkP1MzIyYDAYEB4eblIeHh6O\\\n",
       "8+fPAwBSU1OhVqtRoUIFizqpqak2+y4oKEBBQYH0Pjs728GrICIiIiJbOENIRACAVatWITAwUHrt\\\n",
       "2bMH8+fPx/Lly0vFcuizZ89GSEiI9Kpevbq3h0RE5ZgnZwiJiEoTBkIiAgD07NkTp06dkl4HDx5E\\\n",
       "eno6atSoAR8fH/j4+ODq1av473//a7LP1oMqVaoEpVJpsWJoWloaIiIiAAARERHQarXIzMy0Wcea\\\n",
       "SZMmISsrS3olJSUV63qJiOxhICQiueAto0QEAAgKCkJQUJD0fuTIkejRo4dJnfj4eAwaNAjDhg2z\\\n",
       "2odarUbLli2xY8cO9OrVC8D95xB37NiBsWPHAgBatmwJlUqFHTt2oE+fPgCACxcu4Nq1a2jXrp3N\\\n",
       "8Wk0Gmg0muJcIhGRw1zZh5CIqCxiICQiq8LCwhAWFmZSplKpEBERgfr160tlXbp0Qe/evaXAN2HC\\\n",
       "BAwZMgStWrVC69atMW/ePOTk5EghMiQkBMOHD8eECRNQsWJFBAcHY9y4cWjXrh3atm1bchdIRGQH\\\n",
       "AyERyQUDIREVy+XLl5GRkSG979evH27evImpU6ciNTUVsbGx2LJli8lCM5999hkUCgX69OmDgoIC\\\n",
       "xMfHY/Hixd4YPhGRVQyERCQXgsg1jomoDMrOzsbcuXP5RYyIrJo+fTqysrIQHBzsVLuYmBgkJiYi\\\n",
       "JSXF4bbZ2dmIiopCdHQ0EhISXBkuEZHXcFEZIiIiIiIimeIto0RERERmeMsoEckFAyERERGRGQZC\\\n",
       "IpILBkIiIiIiMwyERCQXDIREREREZhgIiUguGAiJiIiIzDAQEpFccJVRIiIiIiIimeIMIREREZEZ\\\n",
       "zhASkVwwEBIRERGZYSAkIrlgICQiIiIyw0BIRHLBQEhERERkhoGQiOSCgZCIiIjIDAMhEckFVxkl\\\n",
       "IiIiIiKSKc4QElGZJIqit4dARKVccf47cffuXYdn/u7evevyeYiIvI2BkIjKpLt372LGjBneHgYR\\\n",
       "lWJ3795FSEiIU21iY2ORmJiI6tWrO32+2NhYp9sQEXmbIPLX7ERUBhmNRqSkpCAoKEjWz+9kZ2ej\\\n",
       "evXqSEpKQnBwsLeH4zX8HO7j53CfKIq4e/cuoqKioFA4/3RM7969cerUKafaxMbG4qeffnL6XERE\\\n",
       "3sZASERUhmVnZyMkJARZWVmyDgD8HO7j50BERM7iojJEREREREQyxUBIREREREQkUwyERERlmEaj\\\n",
       "wbRp06DRaLw9FK/i53AfPwciInIWnyEkIiIiIiKSKc4QEhERERERyRQDIRERERERkUwxEBIRERER\\\n",
       "EckUAyERUSmi0+nw1ltvoWnTpggICEBUVBQGDx6MlJSUItsuWrQI0dHR8PX1RZs2bXD06FGT4/n5\\\n",
       "+RgzZgzCwsIQGBiIPn36IC0tzVOXUixFXYu59evXo0GDBvD19UXTpk2xefNmk+OiKGLq1KmIjIyE\\\n",
       "n58f4uLicOnSJU9eQrHNnj0bDz/8MIKCglClShX06tULFy5cKLJdefwsiIjIcxgIiYhKkdzcXJw4\\\n",
       "cQJTpkzBiRMn8OOPP+LChQvo2bOn3XZr167FhAkTMG3aNJw4cQIPPfQQ4uPjkZ6eLtV5/fXXsXHj\\\n",
       "Rqxfvx579uxBSkoKnnnmGU9fktMcuZYHHTx4EP3798fw4cNx8uRJ9OrVC7169cLp06elOh9//DEW\\\n",
       "LFiApUuX4siRIwgICEB8fDzy8/NL6rKctmfPHowZMwaHDx/Gtm3boNPp8MQTTyAnJ8dmm/L6WRAR\\\n",
       "kQeJRERUqh09elQEIF69etVmndatW4tjxoyR3hsMBjEqKkqcPXu2KIqimJmZKapUKnH9+vVSnXPn\\\n",
       "zokAxEOHDnlu8C4o6lrMPffcc2K3bt1Mytq0aSO+/PLLoiiKotFoFCMiIsQ5c+ZIxzMzM0WNRiOu\\\n",
       "Xr3aA1fgGenp6SIAcc+ePTbryOWzICIi9+EMIRFRKZeVlQVBEFChQgWrx7VaLY4fP464uDipTKFQ\\\n",
       "IC4uDocOHQIAHD9+HDqdzqROgwYNUKNGDalOaeDItZg7dOiQSX0AiI+Pl+onJCQgNTXVpE5ISAja\\\n",
       "tGlTqq69KFlZWQCAihUr2qwjl8+CiIjch4GQiKgUy8/Px1tvvYX+/fsjODjYap2MjAwYDAaEh4eb\\\n",
       "lIeHhyM1NRUAkJqaCrVabREqH6xTGjhyLeZSU1OLvPbCMkf7LG2MRiPGjx+PDh06oEmTJjbryeGz\\\n",
       "ICIi92IgJCLyolWrViEwMFB67du3Tzqm0+nw3HPPQRRFLFmyxIujJG8bM2YMTp8+jTVr1nh7KERE\\\n",
       "VM74eHsARERy1rNnT7Rp00Z6X7VqVQD/hsGrV69i586dNmcHAaBSpUpQKpUWK4ampaUhIiICABAR\\\n",
       "EQGtVovMzEyTWcIH65QGjlyLuYiIiCKvvbAsMjLSpE5sbKwbR+8ZY8eOxa+//oq9e/eiWrVqduuW\\\n",
       "98+CiIjcjzOEREReFBQUhDp16kgvPz8/KQxeunQJ27dvR1hYmN0+1Go1WrZsiR07dkhlRqMRO3bs\\\n",
       "QLt27QAALVu2hEqlMqlz4cIFXLt2TapTGjhyLebatWtnUh8Atm3bJtWPiYlBRESESZ3s7GwcOXKk\\\n",
       "VF27OVEUMXbsWPz000/YuXMnYmJiimxTXj8LIiLyIG+vakNERP/SarViz549xWrVqomnTp0Sb9y4\\\n",
       "Ib0KCgqkeo899pj4v//9T3q/Zs0aUaPRiMuXLxfPnj0rjhw5UqxQoYKYmpoq1XnllVfEGjVqiDt3\\\n",
       "7hSPHTsmtmvXTmzXrl2JXp8jirqWQYMGiW+//bZU/8CBA6KPj4/4ySefiOfOnROnTZsmqlQq8e+/\\\n",
       "/5bqfPjhh2KFChXEn3/+Wfzrr7/Ep59+WoyJiRHz8vJK/PocNWrUKDEkJETcvXu3yd+D3NxcqY5c\\\n",
       "PgsiIvIcBkIiolIkISFBBGD1tWvXLqlezZo1xWnTppm0/d///ifWqFFDVKvVYuvWrcXDhw+bHM/L\\\n",
       "yxNHjx4thoaGiv7+/mLv3r3FGzdulMBVOc/etXTq1EkcMmSISf1169aJ9erVE9Vqtdi4cWNx06ZN\\\n",
       "JseNRqM4ZcoUMTw8XNRoNGKXLl3ECxculMSluMzW34Ovv/5aqiOXz4KIiDxHEEVR9M7cJBERERER\\\n",
       "EXkTnyEkIiIiIiKSKQZCIiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIpBkIiIiIi\\\n",
       "IiKZYiAkIiIiIiKSKQZCIiIiIiIimWIgJCKiMuHLL7/EE0884fHzbNmyBbGxsTAajR4/FxERkbcx\\\n",
       "EBIRUamXn5+PKVOmYNq0aR4/15NPPgmVSoVVq1Z5/FxERETexkBIRESl3vfff4/g4GB06NChRM43\\\n",
       "dOhQLFiwoETORURE5E0MhEREVGJu3ryJiIgIzJo1Syo7ePAg1Go1duzYYbPdmjVr0KNHD5Oyzp07\\\n",
       "Y/z48SZlvXr1wtChQ6X30dHReP/99zF48GAEBgaiZs2a+OWXX3Dz5k08/fTTCAwMRLNmzXDs2DGT\\\n",
       "fnr06IFjx47h8uXLrl8sERFRGcBASEREJaZy5cr46quvMH36dBw7dgx3797FoEGDMHbsWHTp0sVm\\\n",
       "u/3796NVq1YunfOzzz5Dhw4dcPLkSXTr1g2DBg3C4MGDMXDgQJw4cQK1a9fG4MGDIYqi1KZGjRoI\\\n",
       "Dw/Hvn37XDonERFRWcFASEREJeqpp57CiBEjMGDAALzyyisICAjA7NmzbdbPzMxEVlYWoqKiXD7f\\\n",
       "yy+/jLp162Lq1KnIzs7Gww8/jL59+6JevXp46623cO7cOaSlpZm0i4qKwtWrV106JxERUVnBQEhE\\\n",
       "RCXuk08+gV6vx/r167Fq1SpoNBqbdfPy8gAAvr6+Lp2rWbNm0s/h4eEAgKZNm1qUpaenm7Tz8/ND\\\n",
       "bm6uS+ckIiIqKxgIiYioxF2+fBkpKSkwGo1ITEy0WzcsLAyCIODOnTtF9mswGCzKVCqV9LMgCDbL\\\n",
       "zLeZuH37NipXrlzkOYmIiMoyBkIiIipRWq0WAwcORL9+/fDee+/hpZdespide5BarUajRo1w9uxZ\\\n",
       "i2Pmt3leuXLFLWPMz8/H5cuX0bx5c7f0R0REVFoxEBIRUYl69913kZWVhQULFuCtt95CvXr18OKL\\\n",
       "L9ptEx8fj/3791uU//zzz/jxxx9x+fJlfPDBBzh79iyuXr2K5OTkYo3x8OHD0Gg0aNeuXbH6ISIi\\\n",
       "Ku0YCImIqMTs3r0b8+bNw7fffovg4GAoFAp8++232LdvH5YsWWKz3fDhw7F582ZkZWWZlHfr1g0f\\\n",
       "f/wxGjVqhL1792Lx4sU4evQovv3222KNc/Xq1RgwYAD8/f2L1Q8REVFpJ4gPrrNNRERUSvXt2xct\\\n",
       "WrTApEmTANzfhzA2Nhbz5s1z63kyMjJQv359HDt2DDExMW7tm4iIqLThDCEREZUJc+bMQWBgoMfP\\\n",
       "k5iYiMWLFzMMEhGRLHCGkIiIyiRPzRASERHJCQMhERERERGRTPGWUSIiIiIiIpliICQiIiIiIpIp\\\n",
       "BkIiIiIiIiKZYiAkIiIiIiKSKQZCIiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpIp\\\n",
       "BkIiIiIiIiKZYiAkIiIiIiKSKQZCIiIiIiIimWIgJCIiIiIikikGQiIiIiIiIpliICQiIiIiIpKp\\\n",
       "/wd3D0Xl+YKUgQAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[32] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAcz9JREFUeJzt3Xd4VMXiPvD37GZ30xMIkBBIAOkdpESK4oVo+Ip0aYIIgliw\\\n",
       "ACqKCghy4YoKiIioKDZqvIogilJFujQVqVISIKRQUkjb7O78/uCXc7M1u5vdbJLzfp5nn5udM2fO\\\n",
       "nAUv+2bmzEhCCAEiIiIiIiJSHJWvO0BERERERES+wUBIRERERESkUAyERERERERECsVASERERERE\\\n",
       "pFAMhERERERERArFQEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASERERERE\\\n",
       "pFAMhERERERERArFQEhERERERKRQDIREREREREQKxUBIRERERESkUAyERETklp07d0KSJOzcudPX\\\n",
       "XSEPO3jwILRaLZKSksr92tevX0dQUBB+/PHHcr82EZESMRASEZFDS5cuxeeff+7rbrhl1apVWLRo\\\n",
       "ka+7AQAwmUyYP38+GjRoAH9/f7Rp0warV692+vzMzExMmDABNWvWRFBQEP71r3/hyJEjVvXWrl2L\\\n",
       "UaNGoXHjxpAkCffee6/LfX3ttdcwYsQI1KtXz+VzyyoiIgLjx4/H9OnTy/3aRERKJAkhhK87QURE\\\n",
       "FVerVq1Qo0YNq5FAk8kEvV4PrVYLlapi/n7xwQcfxPHjx3Hx4kVfdwXTpk3Df/7zHzz++OPo1KkT\\\n",
       "vv/+e2zatAmrV6/G8OHDHZ5rMplw9913448//sBLL72EGjVqYOnSpbh06RIOHz6Mxo0by3Xvvfde\\\n",
       "HD58GJ06dcKxY8fQpk0bl0Zxjx07hvbt22Pv3r3o0qWLu7dbJidPnkSLFi2wbds29OzZ0yd9ICJS\\\n",
       "CgZCIiIn5ObmIigoyNfd8Al7gbAyqCiB8MqVK2jQoAEmTJiAJUuWAACEEOjRowcuXLiAixcvQq1W\\\n",
       "2z1/3bp1GDZsGBITE/HQQw8BADIyMtCkSRP83//9H1atWiXXvXTpEurUqQOVSuXWn93zzz+P9evX\\\n",
       "4+LFi5Akyb0b9oDWrVujffv2+PLLL33WByIiJaiYv9IlIvKiK1euYNy4cYiOjoZOp0ODBg3w1FNP\\\n",
       "Qa/XAwA+//xzSJKEX3/9FU8//TRq1aqFunXryucvXboULVu2hE6nQ3R0NCZOnIjMzEyza5w9exaD\\\n",
       "Bw9GVFQU/P39UbduXQwfPhxZWVlynS1btqB79+4IDw9HcHAwmjZtildffbXU/jtzXmFhIWbOnIlG\\\n",
       "jRpBp9MhJiYGU6dORWFhoVV7X3/9NTp37ozAwEBUq1YN99xzD3755RcAQP369fH333/j119/hSRJ\\\n",
       "ZlMQ7T1DmJiYiA4dOiAgIAA1atTAqFGjcOXKFbM6Y8aMQXBwMK5cuYIBAwYgODgYNWvWxIsvvgij\\\n",
       "0VjqZ/D999+jT58+8p9hw4YN8eabb5qde++992LTpk1ISkqS+16/fn27bY4ZM0auZ/l64403Su1T\\\n",
       "af0tKirC008/LZdJkoSnnnoKly9fxr59+xye/8033yAyMhKDBg2Sy2rWrImhQ4fi+++/N/tzjYmJ\\\n",
       "KdOI7fr169GzZ0+rMGjvc6hfvz7GjBkjvy/+72f37t147rnnULNmTYSHh+OJJ56AXq9HZmYmRo8e\\\n",
       "jWrVqqFatWqYOnUqbP1u+r777sPGjRttHiMiIs/x83UHiIjKU0pKCjp37iw/j9WsWTNcuXIF33zz\\\n",
       "DfLy8qDVauW6Tz/9NGrWrIkZM2YgNzcXAPDGG29g1qxZiI+Px1NPPYXTp0/jww8/xO+//449e/ZA\\\n",
       "o9FAr9cjISEBhYWFePbZZxEVFYUrV67ghx9+QGZmJsLCwvD333/jwQcfRJs2bTB79mzodDr8888/\\\n",
       "2LNnj8P+O3OeyWRCv379sHv3bkyYMAHNmzfHX3/9hYULF+LMmTNYv369XHfWrFl444030LVrV8ye\\\n",
       "PRtarRYHDhzA9u3bcf/992PRokV49tlnERwcjNdeew0AEBkZabd/n3/+OcaOHYtOnTph3rx5SEtL\\\n",
       "w3vvvYc9e/bg6NGjCA8Pl+sajUYkJCQgLi4O77zzDrZu3Yp3330XDRs2xFNPPeXwc/j8888RHByM\\\n",
       "KVOmIDg4GNu3b8eMGTOQnZ2Nt99+G8Dt5+CysrJw+fJlLFy4EAAQHBxst80nnngC8fHxZmWbN2/G\\\n",
       "ypUrUatWLbns2rVrDvtWLCQkBDqdDgBw9OhRBAUFoXnz5mZ1OnfuLB/v3r273baOHj2KO++80yro\\\n",
       "de7cGR9//DHOnDmD1q1bO9UvR65cuYLk5GTceeedZW6r+O/+rFmzsH//fnz88ccIDw/H3r17ERsb\\\n",
       "i7lz5+LHH3/E22+/jVatWmH06NFm53fo0AELFy7E33//jVatWpW5P0REZIcgIlKQ0aNHC5VKJX7/\\\n",
       "/XerYyaTSQghxIoVKwQA0b17d2EwGOTj6enpQqvVivvvv18YjUa5fMmSJQKA+Oyzz4QQQhw9elQA\\\n",
       "EImJiXb7sXDhQgFAZGRkuNR/Z8776quvhEqlEr/99ptZ+bJlywQAsWfPHiGEEGfPnhUqlUoMHDjQ\\\n",
       "7H6E+N9nIYQQLVu2FD169LC6zo4dOwQAsWPHDiGEEHq9XtSqVUu0atVK5Ofny/V++OEHAUDMmDFD\\\n",
       "Lnv00UcFADF79myzNtu3by86dOjg+EMQQuTl5VmVPfHEEyIwMFAUFBTIZX369BH16tUrtT1bzp49\\\n",
       "K8LCwsR9991n9vcAgFOvFStWmPXjjjvusLpGbm6uACBeeeUVh30JCgoSjz32mFX5pk2bBACxefNm\\\n",
       "m+fZ+7OzZ+vWrQKA2Lhxo9UxAGLmzJlW5fXq1ROPPvqo/L74v5+EhASzv0ddunQRkiSJJ598Ui4z\\\n",
       "GAyibt26Nvu4d+9eAUCsXbvW6f4TEZHrOGWUiBTDZDJh/fr16Nu3Lzp27Gh13HKK3OOPP272XNfW\\\n",
       "rVuh1+sxadIks5Gaxx9/HKGhodi0aRMAICwsDADw888/Iy8vz2ZfikfKvv/+e5hMJqfvwZnzEhMT\\\n",
       "0bx5czRr1gzXrl2TX8WLc+zYsQPA7amBJpMJM2bMsBp5cufZsUOHDiE9PR1PP/00/P395fI+ffqg\\\n",
       "WbNm8udT0pNPPmn2/u6778b58+dLvVZAQID8c05ODq5du4a7774beXl5OHXqlMt9t5Sbm4uBAwei\\\n",
       "WrVqWL16tdnfgy1btjj1SkhIkM/Jz8+XRwtLKv6c8vPzHfanrOc76/r16wCAatWqlbmtcePGmf09\\\n",
       "iouLgxAC48aNk8vUajU6duxo88+8uA/OjsgSEZF7OGWUiBQjIyMD2dnZTk8/a9Cggdn74j3ZmjZt\\\n",
       "alau1Wpxxx13yMcbNGiAKVOmYMGCBVi5ciXuvvtu9OvXD6NGjZLD4rBhw7B8+XKMHz8er7zyCnr1\\\n",
       "6oVBgwbhoYcecvj8lzPnnT17FidPnkTNmjVttpGeng4AOHfuHFQqFVq0aOHU51Eae58PADRr1gy7\\\n",
       "d+82K/P397fqY7Vq1XDz5s1Sr/X333/j9ddfx/bt25GdnW12rORzmu56/PHHce7cOezduxcRERFm\\\n",
       "xyynlTojICDA5vObBQUF8nFvnu8q4YHn9mJjY83eF//dj4mJsSq39Wde3AdfLmxDRKQEDIRERHaU\\\n",
       "5Uv2u+++izFjxuD777/HL7/8gueeew7z5s3D/v37UbduXQQEBGDXrl3YsWMHNm3ahM2bN2Pt2rXo\\\n",
       "2bMnfvnlF7srTjpznslkQuvWrbFgwQKbbVh+IfcVR6tqOpKZmYkePXogNDQUs2fPRsOGDeHv748j\\\n",
       "R47g5ZdfdmnE1Zb33nsPq1evxtdff4127dpZHU9NTXWqnbCwMPnvUO3atbFjxw4IIcwCztWrVwEA\\\n",
       "0dHRDtuqXbu2XLckZ893VnH4dSaUF7MXHu39+doqt9VGcR9q1KjhdF+IiMh1nDJKRIpRs2ZNhIaG\\\n",
       "4vjx426dX7xJ9+nTp83K9Xo9Lly4YLWJd+vWrfH6669j165d+O2333DlyhUsW7ZMPq5SqdCrVy8s\\\n",
       "WLAAJ06cwL///W9s375dntJpT2nnNWzYEDdu3ECvXr0QHx9v9SoewWvYsCFMJhNOnDjh8HrOjtDY\\\n",
       "+3yKyzy1yfnOnTtx/fp1fP7553j++efx4IMPIj4+3uY0R1dHl3777Te8+OKLmDRpEkaOHGmzTu3a\\\n",
       "tZ16rV27Vj6nXbt2yMvLw8mTJ83aOnDggHzckXbt2uHIkSNWYffAgQMIDAxEkyZNXLpPe5o1awYA\\\n",
       "uHDhgs3jOTk5VmXFI86eVtwHy4V4iIjIsxgIiUgxVCoVBgwYgI0bN+LQoUNWx0ubJhcfHw+tVovF\\\n",
       "ixeb1f3000+RlZWFPn36AACys7NhMBjMzm3dujVUKpU87e/GjRtW7ReHAltTA4s5c97QoUNx5coV\\\n",
       "fPLJJ1Z18/Pz5RVTBwwYAJVKhdmzZ1sFjZL3FxQUZLWthi0dO3ZErVq1sGzZMrN7+Omnn3Dy5En5\\\n",
       "8ymr4hGmkn3U6/VYunSpVd2goCCnp5BevXoVQ4cORffu3eWVSm1x5xnC/v37Q6PRmPVRCIFly5ah\\\n",
       "Tp066Nq1q1k/Tp06haKiIrnsoYceQlpaGr799lu57Nq1a0hMTETfvn1tPl/ojjp16iAmJsbmfx8A\\\n",
       "rLYY+emnn1BQUOCVrSEOHz6MsLAwtGzZ0uNtExHR/3DKKBEpyty5c/HLL7+gR48e8pYMV69eRWJi\\\n",
       "Inbv3m22LYKlmjVrYtq0aZg1axZ69+6Nfv364fTp01i6dCk6deqEUaNGAQC2b9+OZ555BkOGDEGT\\\n",
       "Jk1gMBjw1VdfQa1WY/DgwQCA2bNnY9euXejTpw/q1auH9PR0LF26FHXr1nW4/YAz5z3yyCNYt24d\\\n",
       "nnzySezYsQPdunWD0WjEqVOnsG7dOvz888/o2LEjGjVqhNdeew1vvvkm7r77bgwaNAg6nQ6///47\\\n",
       "oqOjMW/ePAC3l///8MMPMWfOHDRq1Ai1atWSF6gpSaPR4K233sLYsWPRo0cPjBgxQt52on79+pg8\\\n",
       "ebK7f2xmunbtimrVquHRRx/Fc889B0mS8NVXX9kMJR06dMDatWsxZcoUdOrUCcHBwejbt6/Ndp97\\\n",
       "7jlkZGRg6tSpWLNmjdmxNm3aoE2bNgDce4awbt26mDRpEt5++20UFRWhU6dOWL9+PX777TesXLnS\\\n",
       "bBrltGnT8MUXX+DChQvyvokPPfQQ7rrrLowdOxYnTpxAjRo1sHTpUhiNRsyaNcvsWrt27cKuXbsA\\\n",
       "3H5uNjc3F3PmzAEA3HPPPbjnnnsc9rV///747rvvrKa3AsDJkyfxwAMPoF+/fkhJScF7772HsLAw\\\n",
       "7N27F6tXr8aIESNc/mzs2bJlC/r27ctnCImIvM0XS5sSEflSUlKSGD16tKhZs6bQ6XTijjvuEBMn\\\n",
       "ThSFhYVCiP8tm29rawohbm8z0axZM6HRaERkZKR46qmnxM2bN+Xj58+fF4899pho2LCh8Pf3F9Wr\\\n",
       "Vxf/+te/xNatW+U627ZtE/379xfR0dFCq9WK6OhoMWLECHHmzBmHfXf2PL1eL9566y3RsmVLodPp\\\n",
       "RLVq1USHDh3ErFmzRFZWllndzz77TLRv316u16NHD7Flyxb5eGpqqujTp48ICQkRAOQtAiy3nSi2\\\n",
       "du1aub3q1auLkSNHisuXL5vVefTRR0VQUJDV/c2cOVM480/Tnj17xF133SUCAgJEdHS0mDp1qvj5\\\n",
       "55+t+nPr1i3x8MMPi/DwcAHA4RYUPXr0sLuFhK3tFlxlNBrF3LlzRb169YRWqxUtW7YUX3/9tVW9\\\n",
       "4i05Lly4YFZ+48YNMW7cOBERESECAwNFjx49bP4dLf4M3b2PI0eOCABW25YAEFOmTBFDhgwRAQEB\\\n",
       "onbt2mLJkiVi2bJlIjAwUIwfP14IYf+/n+J+WW6ZYuvvwsmTJwUAs/9miIjIOyQhvDDPg4iIiCqt\\\n",
       "Xr16ITo6Gl999ZVcJkkSZs6ciTfeeMPr1580aRJ27dqFw4cPc4SQiMjL+AwhERERmZk7dy7Wrl0r\\\n",
       "byVSnq5fv47ly5djzpw5DINEROWAzxASERGRmbi4OOj1ep9cOyIiArdu3fLJtYmIlIgjhERERERE\\\n",
       "RArFEUIiIiIqFZccICKqmjhCSEREREREpFAMhERERERERArFKaNEVCmZTCakpKQgJCSEKxESkRkh\\\n",
       "BHJychAdHQ2VyvXffffr1w9//PGHS+e0bdsWGzZscPlaRES+xn0IiahSunz5MpYvX+7rbhBRBTVr\\\n",
       "1ixcunQJdevWdem8fv36YePGjW5ds2/fvgyFRFTpcISQiCqlkJAQAODoIBHZVfz/E65wdWTQ3XNt\\\n",
       "/X9X8e/oX3nlFbz11ltWx1UqFYxGo9v9IyKyhYGQiColBkEiKk1Z/3/C2fM9Pdnqq6++slluMpk8\\\n",
       "eh0iIoCBkIiIiMiKJEkuBUpXQ2HJ+pbXuXLlis3+FP8vn/YhIk9iICQiIiKy4E4gTE5ORr169eSy\\\n",
       "rl27YvXq1R7tV2xsrEfbIyJiICQiIiKy4GogLJacnGz2sycCYb9+/eSfk5KSytweEVFJDIRERERE\\\n",
       "FtwNhCVH8Lp27VrmfrzyyivyqqccHSQib2AgJCIiIrLgTiCMjY316AheydVGg4ODOTpIRF7h+m6t\\\n",
       "RERERORVJcNgQEAAcnJyfNwjIqqqGAiJiIiILBSPEDr7clXz5s2tzi1+b7kPYVFRETQaDTQaDZ58\\\n",
       "8kmP3B8RUTEGQiIiIiIL3g6Ep06dsnvMclN6g8Egvz766COXr0VE5AifISQiIiKy4G7Qcxb3EiSi\\\n",
       "ioKBkIiIiMiCtwMhEVFFwUBIREREZIGBkIiUgs8QEhERERERKRRHCImIiIgscISQiJSCI4RE5LT/\\\n",
       "/Oc/kCQJkyZNclgvMTERzZo1g7+/P1q3bo0ff/zR7LgQAjNmzEDt2rUREBCA+Ph4nD171os9JyJy\\\n",
       "jbdXGSUiqigYCInIKb///js++ugjtGnTxmG9vXv3YsSIERg3bhyOHj2KAQMGYMCAATh+/LhcZ/78\\\n",
       "+Vi8eDGWLVuGAwcOICgoCAkJCSgoKPD2bRAROYWBkIiUgoGQiEp169YtjBw5Ep988gmqVavmsO57\\\n",
       "772H3r1746WXXkLz5s3x5ptv4s4778SSJUsA3B4dXLRoEV5//XX0798fbdq0wZdffomUlBSsX7++\\\n",
       "HO6GiKh0DIREpBQMhERUqokTJ6JPnz6Ij48vte6+ffus6iUkJGDfvn0AgAsXLiA1NdWsTlhYGOLi\\\n",
       "4uQ6thQWFiI7O9vsRUTkLQyERKQUDIRE5NCaNWtw5MgRzJs3z6n6qampiIyMNCuLjIxEamqqfLy4\\\n",
       "zF4dW+bNm4ewsDD5FRMT48ptEBEREZENDIREZNelS5fw/PPPY+XKlfD39/dpX6ZNm4asrCz5denS\\\n",
       "JZ/2h4iqNo4QEpFScNsJIrLr8OHDSE9Px5133imXGY1G7Nq1C0uWLEFhYSHUarXZOVFRUUhLSzMr\\\n",
       "S0tLQ1RUlHy8uKx27dpmddq1a2e3LzqdDjqdrqy3RETkFAY9IlIKjhASkV29evXCX3/9hWPHjsmv\\\n",
       "jh07YuTIkTh27JhVGASALl26YNu2bWZlW7ZsQZcuXQAADRo0QFRUlFmd7OxsHDhwQK5DRFQRcHSQ\\\n",
       "iJSAI4REZFdISAhatWplVhYUFISIiAi5fPTo0ahTp478jOHzzz+PHj164N1330WfPn2wZs0aHDp0\\\n",
       "CB9//DEAyPsYzpkzB40bN0aDBg0wffp0REdHY8CAAeV6f0RE9rgS9hgKiagyYyAkojJJTk6GSvW/\\\n",
       "yQZdu3bFqlWr8Prrr+PVV19F48aNsX79erNgOXXqVOTm5mLChAnIzMxE9+7dsXnzZp8/p0hEVIyB\\\n",
       "kIiUQhJCCF93gojIVdnZ2ViwYAG/iBGRTW+88QaysrIQGhrq0nn16tVDcnIyatSoYfbLLkdMJhOu\\\n",
       "XbuG2NhYJCUludNdIiKf4TOERERERERECsUpo0REREQWOGWUiJSCgZCIiIjIAgMhESkFAyERVXkz\\\n",
       "Z870dReIyINmzZrl9WswEBKRUjAQEhEREVlgICQipWAgJCIiIrLAQEhESsFVRomIiIiIiBSKI4RE\\\n",
       "REREFjhCSERKwUBIREREZIGBkIiUgoGQiIiIyAIDIREpBQMhERERkQUGQiJSCgZCIiIiIgsMhESk\\\n",
       "FFxllIiIiIiISKE4QkhERERkgSOERKQUDIREREREFhgIiUgpGAiJiIiILDAQEpFSMBASERERWWAg\\\n",
       "JCKlYCAkIiIisoFBj4iUgKuMEhERERERKRRHCImIiIgscMooESkFAyERERGRBQZCIlIKBkIiIiIi\\\n",
       "CwyERKQUDIREREREFhgIiUgpGAiJiIiILDAQEpFSMBASERERWWAgJCKl4LYTRERERERECsURQiIi\\\n",
       "IiILHCEkIqVgICQiIiKywEBIRErBKaNEREREFooDobMvT7Rf0vnz5z1yHSKi0jAQEhEREVnwdiAs\\\n",
       "TcOGDW2W9+vXz+PXIiJlYyAkIiIisuDtQCiEkF+Wzp8/b1UvOjoaALBx40b3b4qIyAYGQiIiIqIK\\\n",
       "xNbo4JUrV3zQEyJSAi4qQ0RERGTBnUVlkpOTUa9ePbm8a9euWL16tdt9UKvVbp9LROQsBkIiIiIi\\\n",
       "C+6uMpqcnGz2c1kCIRFReWAgJCIiIrLgbiCMjY2Vf+7atWuZ+mA0Gst0PhGRMxgIiYiIiCy4Ewhj\\\n",
       "Y2ORlJRU5mufO3fO6jnCklNRiYg8iYGQiIiIyIK3N6Zv3rw5Tp06ZbOdkiuPWrbdt29fl69FROQI\\\n",
       "VxklIiIiKmeWYdDSuXPnbJZv2LDBG90hIgXjCCERERGRBW+PENraf7CkO+64o9Q6RESewEBIRERE\\\n",
       "ZIM7QY+IqLJhICQiIiKy4O0RQiKiioKBkIiIiMgCAyERKQUDIREREZEFBkIiUgoGQiIiIiILDIRE\\\n",
       "pBTcdoKIiIiIiEihOEJIREREZIEjhESkFAyERERERBYYCIlIKRgIiYiIiCwwEBKRUjAQEhEREVlg\\\n",
       "ICQipWAgJCIiIrLAQEhESsFVRomIiIiIiBSKI4RERBWYvZEHIUQ598R3bt26hZCQELfPL+2z0mq1\\\n",
       "KCoqcrv9ykZJf3fKgiOERKQUDIRERJWMTqfzdRfKVXp6utvn+vmV/s+cksIgOY+BkIiUgoGQiKiS\\\n",
       "ycnJ8XUXytVff/3l9rkpKSkOjxuNRrfbpqqNgZCIlIKBkIioktDpdMjOzoZGo/F1V8pVkyZN3Drv\\\n",
       "//7v/1CzZk2HdWrUqOFW21T1MRASkVJwURkismvevHno1KkTQkJCUKtWLQwYMACnT58u9bzExEQ0\\\n",
       "a9YM/v7+aN26NX788Uez40IIzJgxA7Vr10ZAQADi4+Nx9uxZb91GpSaEkF8FBQXQarW+7lK5a968\\\n",
       "ud1jqampZp+RyWRCbm4uhBBWf+8s3bhxA5mZmW71qVu3bti+fTsaNGjg1vlU8RUHQmdfRESVFQMh\\\n",
       "Edn166+/YuLEidi/fz+2bNmCoqIi3H///cjNzbV7zt69ezFixAiMGzcOR48exYABAzBgwAAcP35c\\\n",
       "rjN//nwsXrwYy5Ytw4EDBxAUFISEhAQUFBSUx21RJbRu3Tqz9yEhIRBCIDIy0qxckiQEBgaW2l56\\\n",
       "ejoiIiLc6ovJZMLu3bvxr3/9C+fPn4fJZHKrHW/R6XTYtWsXNmzYwKBCRESl4pRRIrJr8+bNZu8/\\\n",
       "//xz1KpVC4cPH8Y999xj85z33nsPvXv3xksvvQQAePPNN7FlyxYsWbIEy5YtgxACixYtwuuvv47+\\\n",
       "/fsDAL788ktERkZi/fr1GD58uHdviiqlIUOGQAiB/Px8+Pv7lynohIWFITs7261zL1++bHVtSZJg\\\n",
       "MpmgUvn+d6wZGRlm02BNJhNq1qyJa9eu+bBXlROnjBKRUvj+Xy8iqjSysrIAANWrV7dbZ9++fYiP\\\n",
       "jzcrS0hIwL59+wAAFy5cQGpqqlmdsLAwxMXFyXVsKSwsRHZ2ttmLKr6zZ89CpVJBkiS0adOmzO0F\\\n",
       "BAS4/eV78ODBkCSpTH936tSpY7NckiQ88sgjbrfrCXq93uYzkRkZGVCr1T7oUeXGKaNEpBQMhETk\\\n",
       "FJPJhEmTJqFbt25o1aqV3XqpqalW0/giIyORmpoqHy8us1fHlnnz5iEsLEx+xcTEuHsrVE7eeOMN\\\n",
       "NGnSRN737q+//sLEiRN90pe33noL3377bZnaKG1xmy+//LJM7ZdFXl6ew8WGDAaD4rYrKSsGQiJS\\\n",
       "CgZCInLKxIkTcfz4caxZs8Yn1582bRqysrLk16VLl3zSj6rMkxuWm0wmzJo1y6p82bJlDs8rKChA\\\n",
       "cnKyx/pRbO7cuWVu49SpU6XWKe8VYFUqFQwGAwICAkqtW1BQwOd0XcQwSERKwEBIRKV65pln8MMP\\\n",
       "P2DHjh2oW7euw7pRUVFIS0szK0tLS0NUVJR8vLjMXh1bdDodQkNDzV7kGWfOnIFKpYKfnx9u3rzp\\\n",
       "kTb9/f1tljvaKD4iIgIBAQGoV6+e01+yb9265VS9M2fOODyu0WjQv39/HDhwABcvXsQPP/yARo0a\\\n",
       "QZIkaLVa5OTkONWnskxHlSQJQUFBiIiIQGhoKIKCghAcHIzw8HDUqFEDderUQZs2bTBmzBjs378f\\\n",
       "RqMRRqPRpemgHCV0HkcIiUgpuKgMEdklhMCzzz6L7777Djt37nRqif0uXbpg27ZtmDRpkly2ZcsW\\\n",
       "dOnSBQDQoEEDREVFYdu2bWjXrh2A21+iDxw4gKeeesobt0GlWLFihbxtw4kTJ9CtW7cytZebm4ui\\\n",
       "oiKbx3bt2mWzPD8/Hzdu3DAra9GiBU6cOGGzfkFBgdmoWFFRkcOwGRkZCSEELl++jLS0NNSrVw/V\\\n",
       "qlWzG6bq1auHPn362G3PHn9/fzz88MNYtWqV0+eoVCoUFhY67D8REZG3cISQiOyaOHEivv76a6xa\\\n",
       "tQohISFITU1Famoq8vPz5TqjR4/GtGnT5PfPP/88Nm/ejHfffRenTp3CG2+8gUOHDuGZZ54BcPu3\\\n",
       "7pMmTcKcOXOwYcMG/PXXXxg9ejSio6MxYMCA8r5Fwu3nMw8ePIhjx445FQYNBoO80mdgYKDZ3pSX\\\n",
       "Ll1CcHCw3XPj4uJsln/88cdWZY72prScIqnT6cz+XtpTt25ddOjQATVq1PDaQisrV660WqHXHo1G\\\n",
       "A6PRyDBYAXGEkIiUgv8CEZFdH374IQDg3nvvNStfsWIFxowZAwBITk42W26/a9euWLVqFV5//XW8\\\n",
       "+uqraNy4MdavX2+2EM3UqVORm5uLCRMmIDMzE927d8fmzZvtTjMk7+vUqZPTdUs+J5efn49mzZqV\\\n",
       "+frDhg0zG1UGII8qW5o8ebJVmclkQlhYGPR6fZn74gkJCQly0HP0bGZF6S9Z47YTRKQUDIREZJcz\\\n",
       "i4zs3LnTqmzIkCEYMmSI3XMkScLs2bMxe/bssnSPfOCFF17wSrtRUVFQqVRmm7zbm166aNEim+VF\\\n",
       "RUU4c+ZMqauBlpfi+9FoNDAYDFbHZ8yY4YNeVY3wMm3aNGi1Wq9eg4GQiJSCU0aJiMhpCxYsKNP5\\\n",
       "jlbDNBqN+Pnnn/Hll1+6veJp06ZN0aJFC5sBzFeKiooQFhZmVqZSqWyuwkoVB6eMEpFScISQiIic\\\n",
       "4okVSAsKCiBJkt3Ad//995f5GidPnpSntWq1WvmavpSZmYn09HTExcWhS5cuLi06Q77BEUIiUgqO\\\n",
       "EBIRkVMiIiI81lZQUJDb5+7Zs8fpunq9vsIs2FKrVi1cuHDB6TC4YcMGOZTUqlXLy70jSxwhJCKl\\\n",
       "YCAkIqJSrVq1yqMb1+fl5bl9bteuXXH06FGn65d8LtFder3eY3s0OsNoNKJ///7y+4yMDO69SURE\\\n",
       "XsFASEREpRo5cqRH2+vcuXOZzm/Xrh2EEDh16pSHemSfv78/dDodqlevDkmSyuX5xKVLl1qV5eTk\\\n",
       "4LnnnrMqF0IgKSkJhYWFXu+XknCEkIiUgoGQiIjKVaNGjXDgwAGPtNW0aVMIIdCrVy+7ddq0aeN2\\\n",
       "+z///LNV0Cq57Ya3tGjRwmb5+++/j+DgYOzZswfvv/8+1Go1VCoV6tevD39/f8yfP9/rfVMKBkIi\\\n",
       "UgoGQiIi8ii1Wo3jx49Dr9cjNzcX+/btwyeffIJLly5BCOFww3l3bd26FUIItG3b1qzc398ff/zx\\\n",
       "h9vtvvTSSzbLf/31V5vlP/74oxwQatSo4fZ1HQXc3NxcdO/eHc8995zVdNhXXnnF7WuSOQZCIlIK\\\n",
       "BkIiIirVP//841S9nTt3wmAwoGXLltBoNAgMDMRdd92F8ePHo27dul7uJXDs2DEIIZCfnw+DwYD8\\\n",
       "/PwytWdva4h7773XZlmfPn3k99evX8eGDRtsnm8ymaDT6SBJkt3RwCNHjrjcX5WK/6x7CgMhESkF\\\n",
       "/+UgIqJSNWzYECaTCY0aNbJ5PDQ0FCaTCT169Cjnntnm7+8PtVpd5nYGDhxo95gkSTh06BDOnTsH\\\n",
       "jUZjc9Rw0KBBNs9Vq9XQ6/UAbm+TERISYlWnffv2mDt3rkv9vXbtmkv1yT4GQiJSCgZCIiJyiiRJ\\\n",
       "OHv2LIQQEELAYDCgqKgIQghkZWVV2S/FjqZhdurUCY0aNbK70IzRaLQqs7Va661bt2yeP23aNKtp\\\n",
       "sPZcu3YN4eHhpdYr/vOrzK/i0VUGNCKismMgJCIit6jV6gqzx583zZs3z+3RRlvnuRpWjh075vCc\\\n",
       "4OBgCCE8uk8kcYSQiJSDgZCIiMqd0Wi0OXpWUV26dMmt8xITE22Wt2vXzux9y5YtHbZTVFRks/zw\\\n",
       "4cPIyclxq2/kGAMhESkFAyEREZWb6dOnQ5Ik+Pn5wc/PD5IkQavV4syZM77uGgAgNTUVKpVK/pKf\\\n",
       "nZ0NAKhVq5bLC7aMGjXK7jOIR48exdWrV5GQkIALFy7g+PHjDttSq9UoLCxESEgI1Go1Bg0aBCEE\\\n",
       "7rzzTpf6RM5jICQipaj6c32IiKhCmDZtGv7zn/9YlRcVFaFp06ZW5ZIkoVatWjh06FCZVygVQpT6\\\n",
       "pf3y5cuIiYkxKwsLC5OfzQsJCUFWVpbDNjQaDW7evImgoKBS+xQVFYXNmzeX3vn/T6vVygGVvM+V\\\n",
       "oMdASESVGUcIiYjILUVFRXYXU7FkMBhshkFHhBBIS0tDTEwMJEmCWq1GTEwM6tatC41GA5VKBa1W\\\n",
       "i5SUFIdtFG/eLkkSpk+fbreuZRgstnnzZqhUKvTv399hf4cNGwa9Xu9UGKSKjyOERKQUDIREROSS\\\n",
       "q1evylM9NRoNHnjggVLP0Wg0Zb6uyWTC5cuXceXKFRgMBgghUFRUhDp16mD48OE2z1Gr1Wabt8+Z\\\n",
       "MwdRUVFW9X7//Xe71x0xYgQkScLy5cvt1gkJCcGaNWtcuBsiIqKKgYGQiIiccuXKFWg0GkRHR5uV\\\n",
       "//TTTw7P02q13uwWAGDt2rVWK3r26NHD5hYPaWlp0Gg0clDMy8tD586dbbabkpIiPzuo0WhQvXp1\\\n",
       "m/VKm8o5depU+Pn5ITAwEKdPny71fsj3OEJIRErBQEhERFaWLFkCjUZj9oW3bt26Tk8RLfb000/b\\\n",
       "XSHT00wmExo0aIDs7Gz07t0bu3btslvXYDBArVZDkiS7UzynTZuG2rVrm5Vdv37dql5pq6Xm5ubi\\\n",
       "7bffhtFoRH5+Ppo1awZJkpCbm+vEXZEveSsMrlixwmY758+f98JdEBE5xkVliIgUIicnB0ajEWFh\\\n",
       "YXa/xP7xxx9WWyKUxYcffuixtpxx8eJFhIWFlamNF154Ae+8847d40IILF26FFFRURg0aFCp7b33\\\n",
       "3ns2y4ODg1FUVFRuezkKIdCxY0ccPny4XK5X2XlzUZnHHnvMZnnDhg1tjmoTEXkTAyERURV3+vRp\\\n",
       "NGvWzKxMkiQkJCTgiy++QFBQENasWYPHH3/crS+jrm7HUJGdO3cOd9xxR6n1nn76aafbrFOnjt1j\\\n",
       "ISEhyM/Pd7otdxUUFCAgIMDr16lKymOV0ZL/vXHaKRH5StX5V5yIiGyyDIPA7S+imzdvRmRkJIKD\\\n",
       "gzF+/Hi3RyYsp1WW1Lx5c7fa9AVJkpwKg64aOXKk3WMFBQUev54tDIOuc+cZwuTkZNSrV09+jRgx\\\n",
       "otRrlPxfIiJfYCAkIqrArl696vJzeyVlZmZ6rjN21KpVy+6xEydOYMaMGfIXXpVKZbX4iy1ZWVkQ\\\n",
       "QkAIgYceeqjU+sWb3JfFokWLynS+PX5+fnZXWS1LUEtJSZHDSNeuXe3W4xRE97i7qExycrL8srfy\\\n",
       "7JYtW8yuU4x/VkTkCwyEREQVWHR0NDQajdvPmZX1eTpnJCUlOTw+a9YsmEwmCCFgNBrlLSOMRqPV\\\n",
       "dMpBgwZBCIHQ0FC5LDEx0e4oZPE016KiIqdG2xxNb33uuedKPd9der3eZmAty0bzJT+7ffv2oX79\\\n",
       "+jbrldx2g7wvNjZWftnbDuW+++6zWc6RQiLyBQZCIqJKwGg0omfPni6fJ0kShBBufdEsKCiQR+mK\\\n",
       "FySx5caNGy63DdwOZ5cvXza7xn//+1+bdVNSUjBhwgT5vUajgRACH3/8sVym1Wrtrmian58vh9Di\\\n",
       "a+Xm5uKbb75BXl6ew5GZ3Nxcs5EgtVoNvV7v8v2WDMXFP3tyQZmkpCTExcVZlTszIkvW3BkhjI2N\\\n",
       "RVJSkvxavXq1w2uU/LtPROQrDIRERJXE2rVr3T7XZDLB39/fqboqlQomkwk6nc6s3NHm7eXho48+\\\n",
       "gslkgslkshvI/Pz8rJbuz8vLs3nvgYGBGDx4cKnTNkNCQszeF382V65ccfEOblOpVF4bCTp48KDN\\\n",
       "cm5x4TruQ0hESsFASERUwalUKvzxxx+oWbNmmdo5efIkVCoVVCoVMjMzzUYnhBAwGAwwmUwwGo12\\\n",
       "v+CmpqaWqQ9l5cyX7wYNGpjdV1me03M0elO3bl232/WE+fPn2yy3NXU2MDAQRqMRTZo08Xa3qozy\\\n",
       "CIQMlERUETAQEhFVYMVTDNu0aVPmtiZPnixPVbT1bGHxRu2OREZGWo2YVatWrcx9q6hK+zwuX75c\\\n",
       "Tj2x9tJLL9ks79Onj81ylUqF06dPe7NLVYo3A2HDhg1tlj/xxBOe6DoRkUu4DyERkQLcuHED69ev\\\n",
       "B/C/US93RyWys7OhVqvlxUoyMjI81c0KSa1Ww2g02jx29uxZn44UhoeHW60ku337dt90porx5j6E\\\n",
       "//zzjztdIiLyCo4QEhEpQKdOnczel3WkaPny5VCpVGjVqlWVX7TE0WI+jRs3LseeWJs8ebJPr09E\\\n",
       "RJUfAyERkQJYLrRS1g3jx44di8LCQvz1119laqcy+OWXX+zuI+jr5whffPFFm+VLly4t555UPVxU\\\n",
       "hoiUgoGQiKiSOnfunNkX0j///NOl88uy1L2nt0yo6PR6Pdq2bWtWVhGm/eXk5NgsnzhxYjn3pOph\\\n",
       "ICQipWAgJCKqhNLT09GoUSOzsrZt2+Lo0aNOt+HOhuVGoxF33HEH/P39sWHDBpfPLwu9Xo/Tp0/j\\\n",
       "4MGDyMrKKtdrA8CxY8cghJD3Z7S3MEh5crRq6JkzZ8qxJ1UPAyERKQUDIRFRJRQdHW2zvEOHDjbL\\\n",
       "bYUDV5/9u+++++Dn54cLFy5Ar9ejf//+boVKV23evBmSJEGn06FZs2aIi4tDeHg4EhISytSuyWRC\\\n",
       "UFAQJElyuKm9Jcv9GX0hMzMTQUFByM7OtlunrNOClY6BkIiUgoGQiKgSshfE7E0Dbdy4Mc6ePSt/\\\n",
       "cTUYDC5d79SpU9i6datVeZcuXVxqx1UGgwH/93//Z/NYWaa8mkwmqNVq5OXlAQCKioqg1Wrdbg+4\\\n",
       "PXq6evVqXL16tUztlCYiIgLVqlWT+26PyWRyOuSSNQZCIlIKBkIiokpo2rRpNsvtjRACQKNGjeR9\\\n",
       "CF0dHWzfvr3N8kOHDrnUjqtSU1PtHvvll1/cbtfeKJ+7zwWeOnUKfn5+ePjhhxEdHW33+UqTyYRh\\\n",
       "w4bhk08+ces6P/30E27cuOF0fcs9I4mIiCwxEBIRVWDDhw/HwoULUVBQYFb+73//G8nJyWbBrmfP\\\n",
       "nl4LaPZGQLy95YS9VTxLG+E0Go3Izc21eUwIYfd8d1fnbNGihdX1LUNnYWEh1Go11q1bhwkTJiAq\\\n",
       "Ksrl6/Tv39+l+oWFhXyW0E0cISQipWAgJCKqwNauXYspU6YgICDAahGTmJgYGAwGeaP5bdu2ea0f\\\n",
       "9oJmeWyCbjKZcO+99yI4OBhvv/12qSOcbdu2hZ+fH4KDg23Wy8/Pt3uuoxFWR2xNX9Xr9QgPD0dW\\\n",
       "Vhb27NkDf39/s+NpaWmIj4+X35tMJuTn5zucCuvOFNCmTZuavXc16FTEV2Fhofz33t6rrBgIiUgp\\\n",
       "GAiJiCoJy70Ey1OLFi2sFrIJCwtD9+7dvX5tSZKwY8cO5OTk2N13r9jVq1fNtt8wmUyYP3++WR1H\\\n",
       "zwoOGTLErT7aG7nLyspCeHi43c9p27ZtcqBQq9UIDAyESqVC/fr1rereddddbvUNAAICAtw+V6kY\\\n",
       "CIlIKZSziRRRFXXhwgX89ttvSEpKQl5eHmrWrIn27dujS5cuViMSRGVx5coV6PV6bN26FT179qyQ\\\n",
       "f79sbQUxffp0TJ06VX7vaP9EdxeWWb9+vUdDQVJSEsLCwpCZmQlJkrBv3z4cOHDA7fYKCgrwzTff\\\n",
       "4KGHHvJYH5WAQY+IlICBkKiSWrlyJd577z0cOnQIkZGRiI6ORkBAAG7cuIFz587B398fI0eOxMsv\\\n",
       "v4x69er5urvkAQ888ICvuwCtVlsh+mGPrSmVzm6N4WgBG2cIITwaILKzs6FSeW4ij7ujn0rlysgf\\\n",
       "gyMRVWacMkpUCbVv3x6LFy/GmDFjkJSUhKtXr+Lw4cPYvXs3Tpw4gezsbHz//fcwmUzo2LEjEhMT\\\n",
       "fd1lKqN//etf2LRpU5nbEUKge/fuGDlypAd6VfH06NHDqsxy1M/e82WRkZFlvn5Zt65whUqlwvTp\\\n",
       "0xEeHl5u1yQioqqHI4REldB//vMfh5ty63Q63Hvvvbj33nvx73//GxcvXiy/zpFHeWJxjGIl99rb\\\n",
       "s2cPVq1ahdOnT6NJkyYeu4avff3116hdu7ZZmeWo4fLly63Oc7RITWFhoVOb0RsMBuj1eid76hw/\\\n",
       "Pz+7K6IajUYAwOzZs6FSqTz6d4U4QkhEysERQqJKyFEYtBQREeH2yolUtYwfP96qrFWrVj7oiffY\\\n",
       "Gi2zDFRTpkyxqmNv0ZV3330X4eHhGDRoUKnX7tatm3OddFK1atUwcOBAm8diYmKs6pJncVEZIlIK\\\n",
       "BkKiKiI9PR3Hjx/Hn3/+afYiKvbVV19ZlRUVFWHLli0+6I132FowRgghr9D6119/4datW1Z1Sm7/\\\n",
       "UNKLL76IgoICfPfdd5AkCVevXjU7fvnyZeh0OkiShIMHD3rgDm5r3bo1bty4gXXr1lmt7grAatT/\\\n",
       "nXfe8di16TYGQiJSCgZCokru8OHDaNWqFWrXro02bdqgXbt2aN++vfy/RMUCAwNtlmdkZJRzT8wN\\\n",
       "HDhQ/lJtbwGknJwc1K9fHxEREfjpp5/stnXy5Emb5Y0aNULjxo3Rpk0bm8cXLFhgVbZ27Vqrsujo\\\n",
       "aEiSBJVKBUmSEBMT45VpoiV/mfPPP/9Y1bFcbIYLxngeAyERKQUDIVEl99hjj6FJkybYu3cvzp8/\\\n",
       "jwsXLpj9L1GxnJwcqyDRsGFDPPzwwz7q0e1nGdevXy+/T05OhiRJOHToEIQQKCgoQFBQEEJDQ5GU\\\n",
       "lIQbN27ggQcegCRJePvtt63au/POO21eRwhhM1gVa9CggVXZtGnT7NYv6/N6oaGhNp9L1Gg0Vs88\\\n",
       "BgQEmAWOjz76yOq84OBgm9c5e/asvFG7yWRCVlZWmfqtJAyERKQUDIREldz58+cxf/58xMXFoX79\\\n",
       "+qhXr57Zi6iYJEkwGo0wmUzQ6/WlhqTyYG/D9k6dOkGlUiEgIAB5eXk260ydOhWSJKFJkyaIjY11\\\n",
       "uAALAAQFBdncxqFz58426997772l34AbUlNTkZWVhYKCAgghkJGRgcTERNy6dcvuaKNer0dkZCTG\\\n",
       "jBmDCRMm2KyzcuVK+WedTgchBBo1aiSXSZKE0NBQOSBW5lfxNF1vBjQGQiJSCgZCokquV69e+OOP\\\n",
       "P3zdDapEJEmCRqOxe9xoNOLVV1/FiRMnHLZjNBrRqVMnaLVaaDQaREREYNKkSbh586ZTe/95aprj\\\n",
       "2bNncenSJXnVTVvi4+ORk5MDo9GIrVu3QqPRQJIkPPHEE3Y3fLe1GqknWG5vUaNGDTz00EMICgqy\\\n",
       "e46fnx9SU1OxYsUKu3UefvhhmEwmGAwGFBQUeKy/RERUtXHbCaJKbvny5Xj00Udx/PhxtGrVyuqL\\\n",
       "fr9+/XzUM6qsNBoNhBCYN28eatasifT0dKs627dvR69evczKbty4gffeew/vvfeeVX1JkvDggw9i\\\n",
       "1apVUKvViIuLw19//eW1eygpPDzcbOGcXr16OfXcX/FzgpVpOwdJkhxuoUHO47YTRKQUDIREldy+\\\n",
       "ffuwZ88emwttFE8RJHJW7dq1zQJQRkYGtFqtWYAaP348Pv30U5faFUJg48aNCAkJ8VhfnfHzzz/j\\\n",
       "/vvvd/t8k8mEM2fOoGnTpg7r1a9fHxcuXJDfBwQEcJSukmMgJCKl4JRRokru2WefxahRo3D16lWY\\\n",
       "TCazF8MglXT16lWMHz8eaWlpduvYOlZUVCQv/FJUVORyGPSVWbNmlSkMFmvSpInDLSU0Go1ZGASA\\\n",
       "/Px8m3UZHCoPPkNIRErBQEhUyV2/fh2TJ0+2ei6JqKQhQ4YgOjoan376KaKiouyuNmlveuTw4cOR\\\n",
       "m5uLdevWebObHtOmTRvMmDHDY+116tQJzZs3t3nM3vTTu+66y6rslVde8VifyLsYCIlIKRgIiSq5\\\n",
       "QYMGYceOHb7uBlVw33zzjdn78PBwm/XsfbHV6XTw9/e3u4F7RaLT6VxeaEkIgevXr+Pw4cP4/fff\\\n",
       "cfnyZbMpn0IIfPfdd2ZTXrVarcPFc/bt22f2TG9AQADmzp3rUr88yWQy2R25JGsMhESkFHyGkKiS\\\n",
       "a9KkCaZNm4bdu3ejdevWVovKPPfccz7qGXmCn58fAgMD8cknn2DYsGFutZGSkmKzPDU1FVFRUVbX\\\n",
       "s9wHDwD+/vtvqNVqREZGIigoCLm5uW71xZNq1aqFoKAgJCUlycHs7rvvxq5du1xqZ9SoUWZbNljS\\\n",
       "aDQYNGgQXnvtNVy8eBH+/v5WewPao9frUVRUBEmS4Ofnm39yCwsL4e/vL7+vTIvkEBGR9zEQElVy\\\n",
       "y5cvR3BwMH799Vf8+uuvZsckSWIgrOSMRiNycnIwfPhwDB8+HBqNBhkZGQgLC3O6ja+++spm+R13\\\n",
       "3GG1x5+9kFO3bl355/Pnz/t8irJarcbly5cdbp/hjLVr1zoMg8Dt5ybXrl2LixcvYv/+/S5fo6x9\\\n",
       "LKuAgACfXr+y4qIyRKQUnDJKVMlduHDB7uv8+fMeucYHH3yA+vXrw9/fH3FxcQ4X2ACAxMRENGvW\\\n",
       "DP7+/mjdujV+/PFHs+NCCMyYMQO1a9dGQEAA4uPjcfbsWbf6VtoG1oWFhS5P/apIL0tFRUUIDw+H\\\n",
       "JEnYtm2bU5/Rxo0bbZbn5+dbjQbaeh6ud+/eZu9r1arl1HXLytGXbKPR6JERt1GjRjld99ChQ2W+\\\n",
       "ni9wRNA9VWHK6NatWyts34io4mAgJKqirl69ivnz55e5nbVr12LKlCmYOXMmjhw5grZt2yIhIcHm\\\n",
       "3nQAsHfvXowYMQLjxo3D0aNHMWDAAAwYMADHjx+X68yfPx+LFy/GsmXLcODAAQQFBSEhIYHL9Lso\\\n",
       "Pj4ekiQhICAAp06dslvv999/t3tMq9Vi/fr1yMjIsDuS9Oqrr5a5r8DtUT2dTudU3W3btsmbrKtU\\\n",
       "tv+pKmtAy8nJgcFgKFMbVHVVhUBYGZ75JSLfYyAkquQee+wxm69Ro0bhzTffLHP7CxYswOOPP46x\\\n",
       "Y8eiRYsWWLZsGQIDA/HZZ5/ZrP/ee++hd+/eeOmll9C8eXO8+eabuPPOO7FkyRIAt0crFi1ahNdf\\\n",
       "fx39+/dHmzZt8OWXXyIlJUXe2oBcU1BQgObNm0OSJMybN8/sWGZmZqmbsA8cOBC1atWyG8htrSzq\\\n",
       "zuhc48aNsWTJklI3TpckCT179gRwO0Ta2z7F1iqelq5evQqtVgtJkqDVarF06VIYjUb576Ervv32\\\n",
       "W5fqVxShoaG+7kKlVBUCYbGK3j8i8i0GQqJK7ubNm2ava9eu4eDBg9i5cyfeeeedMrWt1+tx+PBh\\\n",
       "s98yq1QqxMfHY9++fTbP2bdvn9VvpRMSEuT6Fy5cQGpqqlmdsLAwxMXF2W2TnPfqq69CkiQEBwcj\\\n",
       "ODgY1apVK3ObH3zwgVWZrdUy/fz8MHDgQDRq1MhmO6mpqejWrRuGDBni8HoDBgywKps8ebJVmclk\\\n",
       "wo0bN+y2c/z4cURHR8vTYouKijBx4kRERkZiyJAheOONNxz2o6RFixahX79+TtevSG7evOnrLlRK\\\n",
       "VSkQAtb3Q0RUjIGQqJL77rvvzF4bNmzA8ePHMXv27DKPuF27dg1Go9FqAZHIyEikpqbaPCc1NdVh\\\n",
       "/eL/daVN4PZKidnZ2WYvsi83N9djK4HaegZt4sSJZu+joqJw/fp1/Pe//8WRI0dsTvPMy8tDcHAw\\\n",
       "Xn31VYcLrdgKoDNnzrRZd/z48Xbb6datm83y69ev47vvvnO4ZURJQUFBlXpxJpVKVeqoLFVdxc9T\\\n",
       "N2vWzNddIaIKioGQqIoaMWIEdu7c6etueMy8efMQFhYmv2JiYnzdJUWZMGGC2fvAwECYTCYUFhZC\\\n",
       "CIGrV68iNDQUkiQhJCQEHTt2tGrDYDAgKioKrVu3RmFhITZu3GgVHFu2bInatWtbnWtvVdXvvvvO\\\n",
       "ZrkQwuEvDZwNg8DtX2K4MqJiMpmQk5ODpKSkCrE9B3D7s2/QoIGvu1HpVMbRQXt9ev/9980W3CIi\\\n",
       "KsZASFRF/fHHH2jfvn2Z2qhRowbUajXS0tLMytPS0qz2rysWFRXlsH7x/7rSJgBMmzYNWVlZ8uvS\\\n",
       "pUsu3w+575NPPrH6Eln8XJ4tWVlZVmVarVYeGZQkCQ8++KD8PJ/BYIAQwmzxIUtBQUE2y+fMmWNV\\\n",
       "Vtbp0iU5Ex5zc3MRFBQESZKgVqsRGhqK+vXrIzg4GJIkWa206wvnz59nEHBBVZgyWrJf9913X4Xt\\\n",
       "JxH5FgMhUSU3ZcoUq9fIkSPxyCOPICYmxqzcVVqtFh06dDDb3sBkMmHbtm3o0qWLzXO6dOlitR3C\\\n",
       "li1b5PoNGjRAVFSUWZ3s7GwcOHDAbpsAoNPpEBoaavai8uXKCNOZM2esyhw9g+fMlMZnnnnGZvn0\\\n",
       "6dOtFs6ZOnVqqe05q06dOg6PFxYWIjg42GpPx5L69Onj0hYX5HtVIRACXFCGiErHjemJKrmjR4/a\\\n",
       "LO/UqRPS09Pl7SHc/VIwZcoUPProo+jYsSM6d+6MRYsWITc3F2PHjgUAjB49GnXq1JFXt3z++efR\\\n",
       "o0cPvPvuu+jTpw/WrFmDQ4cO4eOPP5b7MWnSJMyZMweNGzdGgwYNMH36dERHR9tcTIQqjqSkJBgM\\\n",
       "hlJXGJ0zZ47NkaiyboNS2i8MtFot+vTpg++//75M17F069YtrFu3DkOHDrV5PDw83Kl2Vq5cibCw\\\n",
       "MJvPSFLF40rQq4ihq7RfZBARFWMgJKrkduzY4dX2hw0bhoyMDMyYMQOpqalo164dNm/eLC8Kk5yc\\\n",
       "bPYcWNeuXbFq1Sq8/vrrePXVV9G4cWOsX78erVq1kutMnToVubm5mDBhAjIzM9G9e3ds3rwZ/v7+\\\n",
       "LvevtC9iOp2uUk+Tq2hfNAMCAqw2sy8mhEDfvn2xadMmm8ctFxJyVfEvFezR6/V2nyksq2HDhtkN\\\n",
       "hK7sn7l06VJ06NABjz32mKe6Rl5S2QNhSkqKr7tARJUEAyERleqZZ56xO13P1sI1Q4YMcbi1gCRJ\\\n",
       "mD17NmbPnu2pLlZZJpMJGRkZiIqKqhDBtnij+O7du0Or1eLQoUO4deuW3b0CS7p27Rrq1q3r1nVN\\\n",
       "JhN++uknt871lCFDhiAxMdGszNazkqUZN24cevbsifr163uoZ+QNlTUQCiHk/gQHB+PWrVsVqn9E\\\n",
       "VPHwGUKiSqh3797Yv39/qfVycnLw1ltvcYpaJSZJEmrVquXSqpjeJoTAb7/9hm3btiErK8upMAgA\\\n",
       "bdq0KbXOnXfeKX8R12q1mDx5MtatW4ewsDCfB+JvvvnGquzvv/92q60GDRogJyenrF0isql4JdHi\\\n",
       "fwOKffbZZz7sFRFVVAyERJXQkCFDMHjwYLRo0QIvv/wyEhMTsWfPHhw+fBhbt27F4sWLMXToUNSu\\\n",
       "XRtHjhxB3759fd1l8oCy7ivpazdv3nT4iwytVmv2TGxRUREWLVqEYcOG4datW+XRxVJZjmqXZRps\\\n",
       "aGio02Gayl9VWVRm6tSpckAsfvabiKgkThklqoTGjRuHUaNGITExEWvXrsXHH38sT12TJAktWrRA\\\n",
       "QkICfv/9dzRv3tzHvSVP6d+/v6+7UGZdunTBmTNn0LhxY7PycePG2X02sSKZOXMmZsyYIb8v67RP\\\n",
       "jUZToUZ/6X8q65RRIiJXMRASVVI6nQ6jRo2Sl7LPyspCfn4+IiIi5L3eqOpRqVQ2A4QkSfDz86sU\\\n",
       "oapJkyaYNm0a5s6dC+D2xu+VaSrbzz//jISEBADObZfhiBACN2/eRLVq1TzRNfIgBkIiUgpOGSWq\\\n",
       "IsLCwhAVFcUwWMXZGpGqW7cuTCYT9Ho9TCaT1X6BNWvWxPXr11FQUIDu3btbnT9mzBgMHz7cW122\\\n",
       "ad68eVCpVAgLC0Pt2rXL9dqlCQ4ORmpqKvbt22fzeO/evT16PUf7M5LvVJUpo0REpeEIIRFRBdak\\\n",
       "SRM0b94cTz/9NKpXr25zJGnz5s3yz5Ik4fz583bb27RpE8LCwgAAUVFRuHr1qnxs9erV5frFVgiB\\\n",
       "7OzscrteSSqVCpIkWT3Dl5ycjJiYGAC3nw8suWJjSZIkITAw0CMjsnv27ClzGwBw+fJldOvWDVFR\\\n",
       "Udi/fz9DShl5e4RQpVLZXCjJ14snEZHycISQiKgCO3v2LDZs2IDevXsjLi4O//zzj9m+jwDQunVr\\\n",
       "HDhwwKkvkiX36cvPz/d4fys6SZJQUFAAo9EIg8EAk8mEhQsXomHDhjh9+rQcBkuyt7VEXl6eRwJh\\\n",
       "8YIfzjp48CCio6MRFhaGevXqoUGDBvDz80NMTAySk5Nx8OBBdOnSpcz9Iu+pUaMGgx8RVRgMhERE\\\n",
       "lYQQwuaeYkII3HXXXVCpVAgICHA46jZ+/Hj556ysLLPNq0+cOOH5TnuYJEkYOHAgHn30Uatg7IzC\\\n",
       "wkLodDqz9iZNmoR//vkHTZo0sXlOaGgomjZt6nafneHMNFSj0Qg/Pz/ExcXh6tWryM7ORnJyMi5e\\\n",
       "vGg10nn48GG77bg6FbIivgoLC+Ugbe9VVt6cMnr9+nUA8Eq/iYhcxUBIRFSJGI1Gh6tSFhQUyFNC\\\n",
       "LQkhYDAYzMrq1KkDjUYDrVaLli1berSv3pCWloZvv/0Wn3/+OYxGI44fP+70wi5PPfWU28/Ynjp1\\\n",
       "yq3znPXLL78gKCgIjzzyCFauXImzZ8+isLBQfjb0/vvvh5+fH7epKEfl8Qwhn0MkooqAgZCoknv0\\\n",
       "0Uexa9cuX3eDypEzowh16tSxKmvYsKHNugaDwe2pj8UL1ty8eRPdunVzqw1nTZw4ETVr1jQra9my\\\n",
       "JQwGA4QQMJlMKCgowK1bt5CdnY2jR4+iTZs20Gq1aNWqFZYuXVqm65fcI9Eb8vLy8PXXX2PUqFFo\\\n",
       "0qQJ/P39oVarodPpsGXLFpfaYrgoO3cCYXJyMurVqye/RowY4fI1iYjKGwMhUSWXlZWF+Ph4NG7c\\\n",
       "GHPnzsWVK1d83SWqAFJSUtCsWTOYTCYIIXDffffhwoULHr1G9erVkZ6ejurVqyM8PBy7d+9Geno6\\\n",
       "evfujTp16iA8PNylaZ0qlQoffPABbt26hevXr2PSpEkICgqCv78/PvroIyxZssTh+ZIkQafTISgo\\\n",
       "CCEhIWjXrh3++OMPFBQU4M8//yzr7aJdu3Z2j504cUL+rA0GA3bv3u3TFX/tBfyZM2eWc08qL3dH\\\n",
       "CJOTk+XXmjVrHF6DU0WJqCLgKqNEldz69euRkZGBr776Cl988QVmzpyJ+Ph4jBs3Dv379+c2FAp2\\\n",
       "+vRp1KhRA35+fsjIyPB4+/v377cqq1mzJjZt2iRPbbx69So6deqE9PR0h21pNBqkp6cjPDwcABAU\\\n",
       "FISFCxfi7bffRmFhIYKCgtzupydHXZo2bYrTp0+bldWtWxfNmzeX36vVanTr1g03b95ESEiIz77s\\\n",
       "6/V6aLVa+b0QAh9//LFP+lIZubvKaGxsrPxz165dPd4vIiJP4wghURVQs2ZNTJkyBX/88QcOHDiA\\\n",
       "Ro0a4ZFHHkF0dDQmT56Ms2fP+rqL5CM3b94sUxj09/c3CxXFnn32WTRu3NjmOSqVChqNBhqNBrGx\\\n",
       "sUhLS4PJZEJ8fLxVXT8/P+Tn50Ov18th0PJ4WcKgOxw9o3nq1CmzUU+VSoXk5GSbdYOCgmAymeyO\\\n",
       "kjZq1AiFhYUoLCy0u6BNWVh+npIkeX1xHKWLjY1FUlKS/Fq9erWvu0REVCoGQqIq5OrVq9iyZQu2\\\n",
       "bNkCtVqNBx54AH/99RdatGiBhQsX+rp7VIm0a9cOQgjk5+fLKzpmZmbixx9/RGFhIRYvXuxSe5Ik\\\n",
       "YcuWLRBCoLCwEDk5ORBCoKioCP7+/l66C9cIIaBSqaBWqyFJElauXGmzntFoxKJFizBjxgwYDIZS\\\n",
       "R5GMRqNVnW3btuHs2bPQarXQarU4ffo0Dh065LF7AW5vK7J9+3azsp07d3r0GlVZeS8qQ0TkKwyE\\\n",
       "RJVcUVER/vvf/+LBBx9EvXr1kJiYiEmTJiElJQVffPEFtm7dinXr1mH27Nm+7ipVAnfccQeKiops\\\n",
       "LqASFhaG//u//7M5YugKrVaL4ODgMrXhqokTJ+LLL790WKd69epm0ztHjRplt+7zzz+PWbNmOf1F\\\n",
       "3mQy4fXXX0e/fv1gMBjQs2dPqzodOnSAEAJjxoxxqk1nDBs2zGNtKY03A6G9acR8lpCIfIHPEBJV\\\n",
       "crVr14bJZMKIESNw8OBBmwtf/Otf/7I5HY8IuD2SVFFG6bxh6NChSExMxNKlSzFmzBi7U0JtbUAv\\\n",
       "SZLHvqS/+eabTtVbsWIFVqxYAeB2kLz77ruxd+9et6754IMPunUe3ebNkTuGPyKqKDhCSFTJLVy4\\\n",
       "ECkpKfjggw/sroIYHh7u8RUmqWrQ6XRVOgwCwKZNm+SfhRC4++67bdYbPHiwzfKDBw96pV/OUKlU\\\n",
       "2LNnj9vP/n322Wce7pFylMeUUSKiioCBkKiSe+SRR6r8F3ryHiWMUkRERJi93717t816iYmJ8POz\\\n",
       "njjz888/m70/ePAgNBoN1Go1xo0b57mOOuDOHohr1qyxGVRKbnVQWV86nc7rAY2BkIiUgoGQiKgC\\\n",
       "69Spk1e3DtHr9V5r25I3wueNGzfw5ZdfOlwZ9O+//7Yqs3ffRUVFeO211+T3tWrVMnt/4sQJxMXF\\\n",
       "wWAwwGQy4bPPPoMkScjMzHT/JpwQEBDgdF2tVosbN27w+cEyYiAkIqVgICQiqsAOHjwIvV7v1cDR\\\n",
       "uXNnh8e//PJL+UtvYmKi3XqXL19GXFwcxo0bh9TUVBQWFuLIkSPyaI5KpYIkSQgMDEROTo58Xl5e\\\n",
       "HqpXry5fQ6VSIS0trdR+P/TQQ4iIiMCjjz4KtVptd6Q8JCTE6pi9jdsBYM6cOfJIVFpamtm2EcuX\\\n",
       "L7d5TrVq1dC6detS++xpCQkJMJlMZqNnhYWFqFatWrn3hYiIKicGQiKiSiAsLAyFhYVeafv333+3\\\n",
       "O3pXUFCARx99VH4/dOhQbNy40apejRo1EBMTg4MHD+Kzzz5D7dq14e/vjw4dOliNxuXn5yM0NFQO\\\n",
       "gEFBQbh586Z8XAiBqKgo5OfnO+z3f//7X7P3xdtZ2JKfny+PsqlUKgQGBjps257p06fbPXb8+HFI\\\n",
       "koTjx4+71XZpYmJizN7fuHEDmzdv5uiUl3CEkIiUgoGQiKiS0Gq1ZuHMk5YtW2azvFOnTlZl/fr1\\\n",
       "M3ufmZmJ69eve7xP7mxNUTJYWsrLy8OZM2eQlJTk9hf4atWqlXpu69atrcKCSqVCWFgYjh075tZ1\\\n",
       "ASA5ORkfffQRVq5cCSEERwG9jIGQiJSCgZCIqBIp3o7A02bNmmWz/NSpU6We26pVK093BwAcPhdo\\\n",
       "T2xsrMPjjRs3Rt26dd3tEoDbwcxVQghkZ2ejffv28PPzQ15enlvXnjBhAh5++GG3ziXXMBASkVIw\\\n",
       "EBIRVSLe+uJpb2TNYDDYLC85xTQ9Pd0rfQJuT1m1p+Qze/Xq1bM7XdTTyhoojUYjunbt6qHeOGYy\\\n",
       "mWA0GmE0GlFUVFTqNFz6HwZCIlIKbkxPRFSJeOs5QkeLrNhS8gtwyUVXLD3++OMwGo1298OLjY2F\\\n",
       "yWTC5cuXbR53NEr4xx9/ICMjAzVq1HDYB28ICAhwO1xptVps2LDBwz36n9zcXISHhzsV5sk+V4Ie\\\n",
       "AyERVWYcISQiqkTWrVvnlXZthQRnp2za2rsPAHr16oWPP/4Yn376KU6fPm32pVmtVuOvv/5CUlIS\\\n",
       "Ll26hD179thsQ6vV2r2uJEmoVatWuYdBwL3prMDt8Hzo0KFSp7a6SwjhMAwSERFZ4gghEVElYTAY\\\n",
       "MHr0aK+1/8UXX5gtWuPsoi729kncunWr/HOTJk0chqiuXbtCCIGioiJ8/PHHCAkJwfDhw83Cpslk\\\n",
       "QkFBAVQqlbyVha+4M1IbHh7ucNGbsiosLLS79Qa5jiOERKQUHCEkIqrANm3ahH//+9+oVauWVzeo\\\n",
       "B4AxY8agVq1aeOqpp6BWq+1OidTpdGbvc3Nzrer07NnTrT5oNBpMnDgRo0ePlkcHDQYD/P39oVar\\\n",
       "ERQUhICAANx5551utW/PggUL4Ofnh2rVqsFoNDqsGxUV5dY13F2J9fr161iwYIHDUb/iz4g8h88Q\\\n",
       "EpFSMBASEVVgDz74IF5//XVkZGSUy/UyMjKwbNkyh6N5r732mtl7W88fLliwwGN9+u6776xG5I4d\\\n",
       "O+axZ+Fu3LiBF154AUajEZmZmfDz87O7mM0PP/yAtLQ0t67jztTWoUOHokaNGnjhhReg0WgwdepU\\\n",
       "qzomk8nrvyxQIgZCIlIKBkIiokpm4MCBaNmypc+u72hz9mKNGjXy2PU+//xzm+WeWjGzcePGVmVB\\\n",
       "QUE26/bt29ft6/z+++8u1b9w4QISExPNyt5++20EBwfDYDBACIENGzZArVa73Seyj4GQiJSCgZCI\\\n",
       "qBL57rvv8O233+L48eNYtWpVuV//66+/Nntvb5QuMDDQY9ds0aKFzfLSpnY668aNG1Zl9kZIbX3x\\\n",
       "V6vV2L17N65evYrIyEi71+ncubPTfcrNzcUdd9xh95hGo4FKpUL//v2dbpNcw0BIRErBQEhEVImU\\\n",
       "DADDhw936hxJkvDxxx9Dr9fDaDQiPz8fderUcfnaTZs2xciRI63atqRSqTz6Bfn111+3WR4QEODw\\\n",
       "PH9/f0iShPr167t8TXv9z8zMlI8FBQVBr9fDYDCgW7duiIqKQmpqqsM9BksbzTMYDGjdurXTC/oQ\\\n",
       "ERGVFQMhEVEl8ssvv8g/29uqoSSTyQSTyYTHH39cHlXy9/fH5cuXIYTA5s2bnbquJEk4deqUzWM/\\\n",
       "/fST/PPYsWM9NnJXLCwszGa5vXAlhIAkSfJzh0lJSahZs6bNum3btrVZbm8Bl9DQUJhMJgghcOvW\\\n",
       "LZvP7u3evdvmucDtPw9Ho0wajQbHjx+3ez6VH44QEpFSMBASEVUivXv3xqpVq/D999/j7rvvdlj3\\\n",
       "0qVLpX5RTUhIwODBg0u9rqN2evfuDSEEhBA2N6B//PHHoVar0aRJk1KvY4+t/QjtBSdbda9du2ZV\\\n",
       "ZjAY8Oeff1qV+/v7l2lvw9WrV7t9rqt69OiB3NxcGAwG5ObmyqulUtkxEBKRUjAQEhFVMiNHjsSA\\\n",
       "AQNKrVe3bl2n2vvmm2/sjsIVc3cj9mvXrmH58uUwmUw4e/as20HL1mhgmzZtrEYjW7ZsaXd0r1Wr\\\n",
       "VvLPBQUFdlfmzMrKcquPwO0Qbjmt1lsKCgqwc+dOBAYGQq1WIzAwEJMnT0ZRUZFX9ztUCgZCIlIK\\\n",
       "BkIiIkJmZmapC8HYW9zFkZdfftnsvRDC6WcfS7K3oqifnx/UajXUajUkScKJEyfstvH3339DkiSo\\\n",
       "VCqHzx/aGmEsjclkglarRWxsrMvnuqNjx45W+0GWFB4ejuXLl5dLX6oqBkIiUgoGQiIiAnB79crQ\\\n",
       "0FC7x0+ePImYmBiX2nzllVesyiy3UijNW2+95fB48XOSznK0f6Gj+7cnPj4earXa5n6M3uLM86Nj\\\n",
       "x44th55UbQyDRKQEDIRERCSztQVDSZcvXzb7IqxSqTBv3jy79W3t8edoZMvSrVu3bIZKb9Hr9TbL\\\n",
       "ixeSsSzTaDTYtm1beXTNjDOjmAwqRETkDAZCIqIq6urVqy6f42j0zF79V1991eF5QgizZwCdfUZP\\\n",
       "CIGQkBCX+lNWBQUF+OSTTyCEgNFohE6ngyRJUKvV8nYaGo0GISEhUKvVdp9X9CZnp7QWr7JK7uGU\\\n",
       "USJSCgZCIqIqquQiKs7YtWsX/P393bpWaV+IDQaDvBKpvcVcLDlbz9MmTJgAlUoFPz8/myOGBoMB\\\n",
       "t27d8kHPbn/Ozl57yZIlXu5N1cZASERKwUBIRFRFlTb9s1jxBu49evRwaw/BUaNGuXxOaQoLC13u\\\n",
       "i5+fH7Zt24bmzZt7vD8VQZ06dRyujmpp+vTpXu5R1cZASERKwUBIRFSFff755w6Pq1SqMk0tPHv2\\\n",
       "LL766iu3z7fH1ZAZFRWFvLw89OzZEydOnEDLli3t1q1Zs2aZvsBrNBrcvHlTHvE0GAzIzs5GTk4O\\\n",
       "jEYjhBAwmUx477333L6GLQsXLnRpBdSCggKPXl9pGAiJSCkYCImIqjBHK03m5eW5/MxgsQULFkAI\\\n",
       "gUaNGrnbNYd++uknl+qvX7/ebOTs+PHjVl/StVothBBIT093ayQUAJKTk6HX6xEeHi6XqdVqhISE\\\n",
       "IDg4WN5nUZIkPPfcc9i5c6db17Fl5MiRToe8H374wWPXVSoGQiJSCgZCIqIqzt5zge5OKTx9+jQm\\\n",
       "T55cli45dOPGDeTl5cnvR4wYgWvXrmHRokV2zzl58qRVmcFgkL+o16hRw2wkVJIk3HHHHU71Jygo\\\n",
       "CDk5ORBCuLztRo8ePTwWFoqKihAQEIDnnnvOYb1r166hb9++HrmmkjEQEpFSMBASEVVxhYWF8PPz\\\n",
       "sxoNdGdKY0BAAJo0aWL3+Llz59CpUycEBQXBz8/P7pdnlUqF9u3bIzk5GUajESaTCdeuXUPt2rUR\\\n",
       "EREBIQQkSUJubi5WrVqFiIgIPP/883jnnXdsXnf8+PHIzc01K1OpVDAajcjLy0NGRobVOWPGjHF4\\\n",
       "rx07doQQArdu3UJwcHDpH44d//3vf90+15b3338fkiQhJCQEn376KS5cuIATJ07gueeeg5+fH2rW\\\n",
       "rOnwfFeDTkV8FRYWylN27b2IiMg5fr7uABEReZ/RaIRKpcL999+PTZs2YcSIEW5Nm/zggw9slo8Z\\\n",
       "MwZffPGF0+0IIXDs2DHUq1fPbh1JkhAYGGhWNmLECLz44otWdY1GI0JCQqw2qJckCQEBATbbv3Tp\\\n",
       "ks3yxYsX49lnny3tFpw2cOBAqFQqq76V1a1btzB+/HiPtkn/48rIH0cIiagyYyAkIlKQX375xe3t\\\n",
       "HFQqFUaOHGlWVlhY6PZWFaUp3gy+5Jfte+65x259IQRUKhUyMjJQvXp1CCFQVFQEjUYjP9tXsu1V\\\n",
       "q1bJ7/39/ZGWlobQ0FDP3whuf07FzzBS5cBASERKwSmjRERkxc/PD927d8eDDz6Irl274vXXX0d+\\\n",
       "fr7ZKpdnzpzxWhgsVr16dTkYvvrqqzh37pzD+kII1KhRAyqVCmq1Gv7+/lCr1QgLC8PcuXPxySef\\\n",
       "ICoqCmq1Grm5uZAkCQcPHkR+fr7XwiBw+/Ms+UwjVXx8hpCIlIIjhEREZOWll17C3Llz7R4XQqBZ\\\n",
       "s2Ze70dmZibUanWZ28nOzsZrr71mVS5JEjp16lTm9p2hUqmg1+vdHqGl8sURQiJSCo4QEhGRldLC\\\n",
       "XvF+e5Wdp5/rK42fnx+io6M93m7jxo2Rn58Pk8kEvV5vM/ySazhCSERKwUBIRERWvvzyS4fHq9IX\\\n",
       "YL1e79H2bt26BZVKBUmSUKdOHavjn332mUevV1RUJE/flSQJGo0Gc+bMgRACGzdu9Oi1iIio6mEg\\\n",
       "JCIiK7t27XJ43HKRlsrM3iqk7goJCZFHT1NSUqw+q/nz53vkOsHBwRBCwM/P/tMfDz74IIQQSE5O\\\n",
       "RmxsrEem3yoFRwiJSCmqzr/oRETkMUVFRQ6PV4XposVMJhMkScKcOXPw888/IzIyUv6Sn5qaWub2\\\n",
       "i1dK/fnnn7Fs2TJs3769TO01btwYRUVFyMnJcfqcmJgYJCUlwWAwlOnaSsJASERKwUVliIjIpnff\\\n",
       "fRcvvPCCzWOJiYnl3Bvvmz59ulVZ7dq1XQ6/kiTZPKd3795u9w0AXnjhBbzzzjtlaoOcx0VliEgp\\\n",
       "OEJIREQ2vfjii2Z79RUbPnw4hg8fblbWunVrZGZmwmAw4NatW5g6dSp0Ol15ddWrCgsLXap/+fJl\\\n",
       "j/fh2Wef9VgYFEJU+pdOp/P6iB1HCIlIKRgIicimoqIivPzyy2jdujWCgoIQHR2N0aNHIyUlpdRz\\\n",
       "P/jgA9SvXx/+/v6Ii4vDwYMHzY4XFBRg4sSJiIiIQHBwMAYPHoy0tDRv3Uql1qZNG6/v9efIyJEj\\\n",
       "rb74rl271qxO3bp18eeffyIsLAxqtRpBQUF46623UFBQYPPLfEFBAQYPHuyjO3LdBx984FL96Oho\\\n",
       "jz+rt3jxYo+2R6VjICQipWAgJCKb8vLycOTIEUyfPh1HjhzBt99+i9OnT6Nfv34Oz1u7di2mTJmC\\\n",
       "mTNn4siRI2jbti0SEhKQnp4u15k8eTI2btyIxMRE/Prrr0hJScGgQYO8fUuV0h9//IH8/HwIIcw2\\\n",
       "ha9IHnroIZfq63Q6fPPNN+W+5YO7ZsyY4fI5ubm5Hu2D0Wj0aHtERETFGAiJyKawsDBs2bIFQ4cO\\\n",
       "RdOmTXHXXXdhyZIlOHz4MJKTk+2et2DBAjz++OMYO3YsWrRogWXLliEwMFBeaj8rKwuffvopFixY\\\n",
       "gJ49e6JDhw5YsWIF9u7di/3795fX7VVKly5d8nUXbHK3X+W5KXxZ5OXluXyOp6fLbtq0qUznnzx5\\\n",
       "Eu+8806VfPbTWzhCSERKwUVliMhpWVlZkCQJ4eHhNo/r9XocPnwY06ZNk8tUKhXi4+Oxb98+AMDh\\\n",
       "w4dRVFSE+Ph4uU6zZs0QGxuLffv24a677vLqPVRmtWrVwnfffYeBAwf6uitm1q9f7/a5Bw8eLNOX\\\n",
       "aZ1OB61W69KKm66qCCuq9u/fH5GRkUhKSnIpbAohrLa9qAj3UxlwURkiUgqOEBKRUwoKCvDyyy9j\\\n",
       "xIgRCA0NtVnn2rVrMBqNiIyMNCuPjIyUl+9PTU2FVqu1CpUl69hSWFiI7Oxss5cSDRgwADdv3vR1\\\n",
       "N8wYjUbUrVvX7fNr1apls/yJJ56AEAImk8nqmTydTic/j5idnS0/nxgREeF2P9zpoz23bt3yeB/S\\\n",
       "0tLkzeedfUaxKu0X6QscHSQiJeC/FEQEAFi5ciWCg4Pl12+//SYfKyoqwtChQyGEwIcffuiT/s2b\\\n",
       "Nw9hYWHyKyYmxif9qAjCw8ORmZlZob6IXrlyBStXrnTr3J9//tlmefHfNUmSkJGRYXbMcqGiYpb1\\\n",
       "PMWVdoUQCAkJ8Uo/iplMplJHCq9everVPlR15TlllOGSiHyJgZCIAAD9+vXDsWPH5FfHjh0B/C8M\\\n",
       "JiUlYcuWLXZHBwGgRo0aUKvVViuGpqWlISoqCgAQFRUFvV6PzMxMu3VsmTZtGrKysuRXRX2erryE\\\n",
       "hYXBZDLBaDRi//79CA4O9nWXMGrUKBQUFLh8XuvWrW2Wl/xybBmwGjRoUOo5ntaqVatS6+zZs6fc\\\n",
       "RuX0ej0eeeQRm1NAc3NzER0dXS79qKrKKxAyBBKRrzEQEhGA21+4GzVqJL8CAgLkMHj27Fls3bq1\\\n",
       "1Ol4Wq0WHTp0wLZt2+Qyk8mEbdu2oUuXLgCADh06QKPRmNU5ffo0kpOT5Tq26HQ6hIaGmr3o9pTA\\\n",
       "uLg45OTk4MaNG77uDgICAuwes7dSpr0vxCXrP/HEE2bHHG1/EhcX56iLbvv777/tLjCTkpICSZLQ\\\n",
       "vXt3r1zbnlWrVsHPz88qnFSEXxBUduURCJs3b+7hXhMRuY6BkIhsKioqwkMPPYRDhw5h5cqVMBqN\\\n",
       "SE1NRWpqKvR6vVyvV69eWLJkifx+ypQp+OSTT/DFF1/g5MmTeOqpp5Cbm4uxY8cCuD2yNW7cOEyZ\\\n",
       "MgU7duzA4cOHMXbsWHTp0oULythQu3ZtNGjQAE8//bTZ525LtWrVUL9+/fLpmAPPPvusVZlWq5WD\\\n",
       "i+XKovammtasWRNGoxHnzp2TV6ktNn36dLvXL17AqKRx48ahsLAQBoMBO3bscHsULygoCOvWrZPf\\\n",
       "nzt3DiqVCnXq1HGrPXfFxcVh8eLFCA4OrjTbdyhBcnIy6tWrJ79GjBjhsP6pU6cAcKEfIvItBkIi\\\n",
       "sunKlSvYsGEDLl++jHbt2qF27drya+/evXK9c+fO4dq1a/L7YcOG4Z133sGMGTPQrl07HDt2DJs3\\\n",
       "bzZbaGbhwoV48MEHMXjwYNxzzz2IiorCt99+W673V1mkpqbi4sWL+PDDD6HT6RAUFOSwflm3J/CE\\\n",
       "kr8gAIDMzEwUFRXJ7w8dOgRJkhATE4N27dph9OjRNtu5efMm/Pz80KhRI6tjJUeYLUmSBJPJhHXr\\\n",
       "1iElJQVCCCxfvhxarRZqtRr33nsvjEYj1q5d69b9DRs2TB4VatSokdtf5tVqNS5duoTCwkL5Fyal\\\n",
       "efrppyGEwP79+/Hss89aTc8mz3F3hDA5OVl+rVmzxmH7ANC3b1+v3wsRkSPcdoKIbKpfv75TX3Qv\\\n",
       "XrxoVfbMM8/gmWeesXuOv78/PvjgA3zwwQdl6aIi5eXl4dlnn8X7779v87i3VtksafDgwZg7dy56\\\n",
       "9uyJK1eulFo/Pz/fZvnly5dx+fJlt/pgMBgcHpckCUOGDHFYZ+jQocjMzLSajloeVCqV2T189tln\\\n",
       "uHXrlsN9Avv06WP130zxqqMcYfI8d7ediI2NlX/u2rVrqfU3bNjgZg+JiDyDI4RERJWM5QhcSenp\\\n",
       "6V69tslkwjfffIMmTZrg8uXL6Ny5s816JQOKq1s2OMNyaxN3TZgwwSPtuMrWCqCrVq1yeM4PP/xg\\\n",
       "s/yBBx7wSJ/InDsjhLGxsUhKSpJfq1evdvo6Jd+vWLHCa/dFRGSJgZCIqApJSkryWtujRo2yGjGx\\\n",
       "9bweYD4C4uyeea7w5MIxWq3WY205y1ZIdvdzmjNnTlm7QzZ4c1GZhg0bOjzu7BRiIiJP4JRRIqIK\\\n",
       "zNWpgA8++GC5Th9UqVROXa8iT2ksLCz0dRcAwO2pn+3atavQn29l5e6UUWf8888/dtvgnyURlTeO\\\n",
       "EBIRERERESkURwiJiIiILHhzhNAWjgwSka8wEBIRERFZKO9ASETkKwyERERERBYYCIlIKRgIiYiI\\\n",
       "iCwwEBKRUjAQEhEREVlgICQipeAqo0RERERERArFEUIiIiIiCxwhJCKlYCAkIiIissBASERKwUBI\\\n",
       "REREZIGBkIiUgoGQiIiIyAIDIREpBQMhERERkQ0MekSkBFxllIiIiIiISKE4QkhERERkgVNGiUgp\\\n",
       "GAiJiIiILDAQEpFSMBASERERWWAgJCKlYCAkIiIissBASERKwUBIREREZIGBkIiUgoGQiIiIyAID\\\n",
       "IREpBbedICIiIiIiUiiOEBIRERFZ4AghESkFAyERERGRBQZCIlIKBkIiIiIiCwyERKQUDIRERERE\\\n",
       "FhgIiUgpGAiJiIiILDAQEpFScJVRIiIiIiIiheIIIREREZEFjhASkVIwEBIRERFZYCAkIqVgICQi\\\n",
       "IiKywEBIRErBQEhERERkgYGQiJSCgZCIiIjIAgMhESkFVxklIiIiIiJSKI4QEhEREVngCCERKQUD\\\n",
       "IREREZENDHpEpAQMhEREREQWOEJIRErBQEhERERkgYGQiJSCgZCIiIjIAgMhESkFAyERERGRBQZC\\\n",
       "IlIKbjtBRERERESkUBwhJCIiIrLAEUIiUgoGQiIiIiILDIREpBQMhEREREQWGAiJSCkYCImIiIgs\\\n",
       "MBASkVIwEBIRERFZYCAkIqXgKqNEREREREQKxRFCIiIiIgveHCG0V18I4VI7RESewBFCIiIiIgvF\\\n",
       "gdDZlye0b9/eI+0QEbmCI4REREREFrw5Qmg5EhgYGIj8/HwcO3bMpXaIiDyBgZCIqrxZs2b5ugtE\\\n",
       "VMm4EwiTk5NRr149ubxr165YvXp1qefn5+e710kiIg9gICQiIiKy4O4IYXJystnPpQXCrVu3yj/z\\\n",
       "GUIi8gUGQiIiIiIPiY2NlX/u2rVrqfXvu+8+b3aHiKhUDIREREREFtwZIYyNjUVSUpJL1yjG0UEi\\\n",
       "8hWuMkpETnnyySchSRIWLVpUat0PPvgA9evXh7+/P+Li4nDw4EGz4wUFBZg4cSIiIiIQHByMwYMH\\\n",
       "Iy0tzUs9JyJynTdXGT1//jzDIBFVGAyERFSq7777Dvv370d0dHSpddeuXYspU6Zg5syZOHLkCNq2\\\n",
       "bYuEhASkp6fLdSZPnoyNGzciMTERv/76K1JSUjBo0CBv3gIRkUu8GQgbNmwo/+zn5weNRgONRoNe\\\n",
       "vXp5+jaIiErFQEhEDl25cgXPPvssVq5cCY1GU2r9BQsW4PHHH8fYsWPRokULLFu2DIGBgfjss88A\\\n",
       "AFlZWfj000+xYMEC9OzZEx06dMCKFSuwd+9e7N+/39u3Q0TktPLYg9BgMMiv7du3e6jnRETOYyAk\\\n",
       "IrtMJhMeeeQRvPTSS2jZsmWp9fV6PQ4fPoz4+Hi5TKVSIT4+Hvv27QMAHD58GEVFRWZ1mjVrhtjY\\\n",
       "WLkOEZGveXOEUAhh90VEVN64qAwR2fXWW2/Bz88Pzz33nFP1r127BqPRiMjISLPyyMhInDp1CgCQ\\\n",
       "mpoKrVaL8PBwqzqpqal22y4sLERhYaH8Pjs728m7ICIiIiJ7OEJIRACAlStXIjg4WH79+uuveO+9\\\n",
       "9/D555+XeUqUJ8ybNw9hYWHyKyYmxtddIqIqzJsjhEREFQkDIREBAPr164djx47Jr7179yI9PR2x\\\n",
       "sbHw8/ODn58fkpKS8MILL6B+/fo226hRowbUarXViqFpaWmIiooCAERFRUGv1yMzM9NuHVumTZuG\\\n",
       "rKws+XXp0qUy3S8RkSMMhESkFJwySkQAgJCQEISEhMjvJ0yYgL59+5rVSUhIwCOPPIKxY8fabEOr\\\n",
       "1aJDhw7Ytm0bBgwYAOD2c4jbtm3DM888AwDo0KEDNBoNtm3bhsGDBwMATp8+jeTkZHTp0sVu/3Q6\\\n",
       "HXQ6XVlukYjIae7sQ0hEVBkxEBKRTREREYiIiDAr02g0iIqKQtOmTeWyXr16YeDAgXLgmzJlCh59\\\n",
       "9FF07NgRnTt3xqJFi5CbmyuHyLCwMIwbNw5TpkxB9erVERoaimeffRZdunTBXXfdVX43SETkAAMh\\\n",
       "ESkFAyERlcm5c+dw7do1+f2wYcOQkZGBGTNmIDU1Fe3atcPmzZvNFppZuHAhVCoVBg8ejMLCQiQk\\\n",
       "JGDp0qW+6D4RkU0MhESkFJLgGsdEVAllZ2djwYIF/CJGRDa98cYbyMrKQmhoqEvn1atXD8nJyUhJ\\\n",
       "SXH63OzsbERHRyM2NhZJSUnudJeIyGe4qAwREREREZFCccooERERkQVOGSUipWAgJCIiIrLAQEhE\\\n",
       "SsFASERERGSBgZCIlIKBkIiIiMgCAyERKQUDIREREZEFBkIiUgquMkpERERERKRQHCEkIiIissAR\\\n",
       "QiJSCgZCIiIiIgsMhESkFAyERERERBYYCIlIKRgIiYiIiCwwEBKRUjAQEhEREVlgICQipeAqo0RE\\\n",
       "RERERArFEUIiqpSEEL7uAhFVcGX5/4mcnBynR/5ycnLcvg4Rka8xEBJRpZSTk4NZs2b5uhtEVIHl\\\n",
       "5OQgLCzMpXPatm2L5ORkxMTEuHy9tm3bunwOEZGvSYK/ZieiSshkMiElJQUhISGKfn4nOzsbMTEx\\\n",
       "uHTpEkJDQ33dHZ/h53AbP4fbhBDIyclBdHQ0VCrXn47p168f/vjjD5fOadu2LTZs2ODytYiIfI2B\\\n",
       "kIioEsvOzkZYWBiysrIUHQD4OdzGz4GIiFzFRWWIiIiIiIgUioGQiIiIiIhIoRgIiYgqMZ1Oh5kz\\\n",
       "Z0Kn0/m6Kz7Fz+E2fg5EROQqPkNIRERERESkUBwhJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIo\\\n",
       "BkIiogqkqKgIL7/8Mlq3bo2goCBER0dj9OjRSElJKfXcDz74APXr14e/vz/i4uJw8OBBs+MFBQWY\\\n",
       "OHEiIiIiEBwcjMGDByMtLc1bt1Impd2LpcTERDRr1gz+/v5o3bo1fvzxR7PjQgjMmDEDtWvXRkBA\\\n",
       "AOLj43H27Flv3kKZzZs3D506dUJISAhq1aqFAQMG4PTp06WeVxU/CyIi8h4GQiKiCiQvLw9HjhzB\\\n",
       "9OnTceTIEXz77bc4ffo0+vXr5/C8tWvXYsqUKZg5cyaOHDmCtm3bIiEhAenp6XKdyZMnY+PGjUhM\\\n",
       "TMSvv/6KlJQUDBo0yNu35DJn7qWkvXv3YsSIERg3bhyOHj2KAQMGYMCAATh+/LhcZ/78+Vi8eDGW\\\n",
       "LVuGAwcOICgoCAkJCSgoKCiv23LZr7/+iokTJ2L//v3YsmULioqKcP/99yM3N9fuOVX1syAiIi8S\\\n",
       "RERUoR08eFAAEElJSXbrdO7cWUycOFF+bzQaRXR0tJg3b54QQojMzEyh0WhEYmKiXOfkyZMCgNi3\\\n",
       "b5/3Ou+G0u7F0tChQ0WfPn3MyuLi4sQTTzwhhBDCZDKJqKgo8fbbb8vHMzMzhU6nE6tXr/bCHXhH\\\n",
       "enq6ACB+/fVXu3WU8lkQEZHncISQiKiCy8rKgiRJCA8Pt3lcr9fj8OHDiI+Pl8tUKhXi4+Oxb98+\\\n",
       "AMDhw4dRVFRkVqdZs2aIjY2V61QEztyLpX379pnVB4CEhAS5/oULF5CammpWJywsDHFxcRXq3kuT\\\n",
       "lZUFAKhevbrdOkr5LIiIyHMYCImIKrCCggK8/PLLGDFiBEJDQ23WuXbtGoxGIyIjI83KIyMjkZqa\\\n",
       "CgBITU2FVqu1CpUl61QEztyLpdTU1FLvvbjM2TYrGpPJhEmTJqFbt25o1aqV3XpK+CyIiMizGAiJ\\\n",
       "iHxo5cqVCA4Oll+//fabfKyoqAhDhw6FEAIffvihD3tJvjZx4kQcP34ca9as8XVXiIioivHzdQeI\\\n",
       "iJSsX79+iIuLk9/XqVMHwP/CYFJSErZv3253dBAAatSoAbVabbViaFpaGqKiogAAUVFR0Ov1yMzM\\\n",
       "NBslLFmnInDmXixFRUWVeu/FZbVr1zar065dOw/23jueeeYZ/PDDD9i1axfq1q3rsG5V/yyIiMjz\\\n",
       "OEJIRORDISEhaNSokfwKCAiQw+DZs2exdetWREREOGxDq9WiQ4cO2LZtm1xmMpmwbds2dOnSBQDQ\\\n",
       "oUMHaDQaszqnT59GcnKyXKcicOZeLHXp0sWsPgBs2bJFrt+gQQNERUWZ1cnOzsaBAwcq1L1bEkLg\\\n",
       "mWeewXfffYft27ejQYMGpZ5TVT8LIiLyIl+vakNERP+j1+tFv379RN26dcWxY8fE1atX5VdhYaFc\\\n",
       "r2fPnuL999+X369Zs0bodDrx+eefixMnTogJEyaI8PBwkZqaKtd58sknRWxsrNi+fbs4dOiQ6NKl\\\n",
       "i+jSpUu53p8zSruXRx55RLzyyity/T179gg/Pz/xzjvviJMnT4qZM2cKjUYj/vrrL7nOf/7zHxEe\\\n",
       "Hi6+//578eeff4r+/fuLBg0aiPz8/HK/P2c99dRTIiwsTOzcudPs70FeXp5cRymfBREReQ8DIRFR\\\n",
       "BXLhwgUBwOZrx44dcr169eqJmTNnmp37/vvvi9jYWKHVakXnzp3F/v37zY7n5+eLp59+WlSrVk0E\\\n",
       "BgaKgQMHiqtXr5bDXbnO0b306NFDPProo2b1161bJ5o0aSK0Wq1o2bKl2LRpk9lxk8kkpk+fLiIj\\\n",
       "I4VOpxO9evUSp0+fLo9bcZu9vwcrVqyQ6yjlsyAiIu+RhBDCN2OTRERERERE5Et8hpCIiIiIiEih\\\n",
       "GAiJiIiIiIgUioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEih\\\n",
       "GAiJiIiIiIgUioGQiIgqhU8//RT333+/16+zefNmtGvXDiaTyevXIiIi8jUGQiIiqvAKCgowffp0\\\n",
       "zJw50+vX6t27NzQaDVauXOn1axEREfkaAyEREVV433zzDUJDQ9GtW7dyud6YMWOwePHicrkWERGR\\\n",
       "LzEQEhFRucnIyEBUVBTmzp0rl+3duxdarRbbtm2ze96aNWvQt29fs7J7770XkyZNMisbMGAAxowZ\\\n",
       "I7+vX78+5syZg9GjRyM4OBj16tXDhg0bkJGRgf79+yM4OBht2rTBoUOHzNrp27cvDh06hHPnzrl/\\\n",
       "s0RERJUAAyEREZWbmjVr4rPPPsMbb7yBQ4cOIScnB4888gieeeYZ9OrVy+55u3fvRseOHd265sKF\\\n",
       "C9GtWzccPXoUffr0wSOPPILRo0dj1KhROHLkCBo2bIjRo0dDCCGfExsbi8jISPz2229uXZOIiKiy\\\n",
       "YCAkIqJy9cADD+Dxxx/HyJEj8eSTTyIoKAjz5s2zWz8zMxNZWVmIjo52+3pPPPEEGjdujBkzZiA7\\\n",
       "OxudOnXCkCFD0KRJE7z88ss4efIk0tLSzM6Ljo5GUlKSW9ckIiKqLBgIiYio3L3zzjswGAxITEzE\\\n",
       "ypUrodPp7NbNz88HAPj7+7t1rTZt2sg/R0ZGAgBat25tVZaenm52XkBAAPLy8ty6JhERUWXBQEhE\\\n",
       "ROXu3LlzSElJgclkwsWLFx3WjYiIgCRJuHnzZqntGo1GqzKNRiP/LEmS3TLLbSZu3LiBmjVrlnpN\\\n",
       "IiKiyoyBkIiIypVer8eoUaMwbNgwvPnmmxg/frzV6FxJWq0WLVq0wIkTJ6yOWU7zPH/+vEf6WFBQ\\\n",
       "gHPnzqF9+/YeaY+IiKiiYiAkIqJy9dprryErKwuLFy/Gyy+/jCZNmuCxxx5zeE5CQgJ2795tVf79\\\n",
       "99/j22+/xblz5/Dvf/8bJ06cQFJSEq5cuVKmPu7fvx86nQ5dunQpUztEREQVHQMhERGVm507d2LR\\\n",
       "okX46quvEBoaCpVKha+++gq//fYbPvzwQ7vnjRs3Dj/++COysrLMyvv06YP58+ejRYsW2LVrF5Yu\\\n",
       "XYqDBw/iq6++KlM/V69ejZEjRyIwMLBM7RAREVV0kii5zjYREVEFNWTIENx5552YNm0agNv7ELZr\\\n",
       "1w6LFi3y6HWuXbuGpk2b4tChQ2jQoIFH2yYiIqpoOEJIRESVwttvv43g4GCvX+fixYtYunQpwyAR\\\n",
       "ESkCRwiJiKhS8tYIIRERkZIwEBIRERERESkUp4wSEREREREpFAMhERERERGRQjEQEhERERERKRQD\\\n",
       "IRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERERERGRQjEQEhERERERKRQD\\\n",
       "IRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERERERGRQv0/suuKpcTJfBUA\\\n",
       "AAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[33] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAcrtJREFUeJzt3Xd4VMXiPvD37G6ym04IkBASSGjSpWNABCUSr0hRBEWkiWAB\\\n",
       "FbkX+aIIAipWsCIqKhZQiAVQkEsH6dKUJiI1PQHSSNvN7vz+4JdzszW7m920836eZx+zc+bMmbOg\\\n",
       "7puZMyMJIQSIiIiIiIhIcVTV3QEiIiIiIiKqHgyERERERERECsVASEREREREpFAMhERERERERArF\\\n",
       "QEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERERArF\\\n",
       "QEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREbtmxYwckScKOHTuquyvk\\\n",
       "YQcPHoSvry8uXbpU5de+evUqAgICsGHDhiq/NhGREjEQEhGRQ0uWLMHy5curuxtuWblyJd55553q\\\n",
       "7gYAwGQy4Y033kBsbCx0Oh06deqEb7/91unzc3JyMHnyZDRs2BABAQG4/fbbceTIEat6q1atwsMP\\\n",
       "P4xWrVpBkiT079/f5b6+8MILGDVqFJo1a+byuZUVFhaGRx99FC+++GKVX5uISIkkIYSo7k4QEVHN\\\n",
       "1aFDBzRo0MBqJNBkMkGv18PX1xcqVc38/eI999yDEydO4OLFi9XdFcyaNQuvvfYaJk2ahB49emDt\\\n",
       "2rVYv349vv32Wzz44IMOzzWZTOjbty/++OMPzJgxAw0aNMCSJUuQlJSEw4cPo1WrVnLd/v374/Dh\\\n",
       "w+jRoweOHTuGTp06uTSKe+zYMXTp0gV79+5FXFycu7dbKadPn0a7du2wdetW3HHHHdXSByIipWAg\\\n",
       "JCJyQkFBAQICAqq7G9XCXiCsDWpKIExJSUFsbCwmT56MDz74AAAghEC/fv1w4cIFXLx4EWq12u75\\\n",
       "q1evxgMPPIDExETcf//9AICsrCy0bt0a//rXv7By5Uq5blJSEpo0aQKVSuXWn90zzzyDNWvW4OLF\\\n",
       "i5Akyb0b9oCOHTuiS5cu+Oqrr6qtD0RESlAzf6VLRORFKSkpmDhxIiIjI6HVahEbG4snnngCer0e\\\n",
       "ALB8+XJIkoSdO3fiySefRKNGjRAVFSWfv2TJErRv3x5arRaRkZGYMmUKcnJyzK5x9uxZDB8+HBER\\\n",
       "EdDpdIiKisKDDz6I3Nxcuc7mzZtx6623ol69eggMDMRNN92E559/vsL+O3NeSUkJ5s6di5YtW0Kr\\\n",
       "1SI6OhrPPfccSkpKrNr75ptv0LNnT/j7+yM0NBS33XYbNm3aBACIiYnByZMnsXPnTkiSZDYF0d4z\\\n",
       "hImJiejWrRv8/PzQoEEDPPzww0hJSTGrM378eAQGBiIlJQXDhg1DYGAgGjZsiP/85z8wGo0VfgZr\\\n",
       "167FoEGD5D/DFi1aYMGCBWbn9u/fH+vXr8elS5fkvsfExNhtc/z48XI9y9dLL71UYZ8q6q/BYMCT\\\n",
       "Tz4pl0mShCeeeALJycnYt2+fw/O///57hIeH47777pPLGjZsiJEjR2Lt2rVmf67R0dGVGrFds2YN\\\n",
       "7rjjDqswaO9ziImJwfjx4+X3Zf/+7N69G08//TQaNmyIevXq4bHHHoNer0dOTg7Gjh2L0NBQhIaG\\\n",
       "4rnnnoOt303feeed+Pnnn20eIyIiz9FUdweIiKpSamoqevbsKT+P1aZNG6SkpOD7779HYWEhfH19\\\n",
       "5bpPPvkkGjZsiDlz5qCgoAAA8NJLL2HevHmIj4/HE088gTNnzuCjjz7C77//jj179sDHxwd6vR4J\\\n",
       "CQkoKSnBU089hYiICKSkpOCXX35BTk4OQkJCcPLkSdxzzz3o1KkT5s+fD61Wi3/++Qd79uxx2H9n\\\n",
       "zjOZTBgyZAh2796NyZMno23btjh+/DgWL16Mv//+G2vWrJHrzps3Dy+99BJ69+6N+fPnw9fXFwcO\\\n",
       "HMC2bdswcOBAvPPOO3jqqacQGBiIF154AQAQHh5ut3/Lly/HhAkT0KNHDyxcuBAZGRl49913sWfP\\\n",
       "Hhw9ehT16tWT6xqNRiQkJKBXr1546623sGXLFrz99tto0aIFnnjiCYefw/LlyxEYGIjp06cjMDAQ\\\n",
       "27Ztw5w5c5CXl4c333wTwI3n4HJzc5GcnIzFixcDAAIDA+22+dhjjyE+Pt6sbOPGjVixYgUaNWok\\\n",
       "l125csVh38oEBQVBq9UCAI4ePYqAgAC0bdvWrE7Pnj3l47feeqvdto4ePYquXbtaBb2ePXvik08+\\\n",
       "wd9//42OHTs61S9HUlJScPnyZXTt2rXSbZX93Z83bx7279+PTz75BPXq1cPevXvRtGlTvPrqq9iw\\\n",
       "YQPefPNNdOjQAWPHjjU7v1u3bli8eDFOnjyJDh06VLo/RERkhyAiUpCxY8cKlUolfv/9d6tjJpNJ\\\n",
       "CCHEF198IQCIW2+9VZSWlsrHMzMzha+vrxg4cKAwGo1y+QcffCAAiM8//1wIIcTRo0cFAJGYmGi3\\\n",
       "H4sXLxYARFZWlkv9d+a8r7/+WqhUKvHbb7+ZlS9dulQAEHv27BFCCHH27FmhUqnEvffea3Y/Qvzv\\\n",
       "sxBCiPbt24t+/fpZXWf79u0CgNi+fbsQQgi9Xi8aNWokOnToIIqKiuR6v/zyiwAg5syZI5eNGzdO\\\n",
       "ABDz5883a7NLly6iW7dujj8EIURhYaFV2WOPPSb8/f1FcXGxXDZo0CDRrFmzCtuz5ezZsyIkJETc\\\n",
       "eeedZn8PADj1+uKLL8z60bx5c6trFBQUCADi//7v/xz2JSAgQDzyyCNW5evXrxcAxMaNG22eZ+/P\\\n",
       "zp4tW7YIAOLnn3+2OgZAzJ0716q8WbNmYty4cfL7sn9/EhISzP4excXFCUmSxOOPPy6XlZaWiqio\\\n",
       "KJt93Lt3rwAgVq1a5XT/iYjIdZwySkSKYTKZsGbNGgwePBjdu3e3Om45RW7SpElmz3Vt2bIFer0e\\\n",
       "06ZNMxupmTRpEoKDg7F+/XoAQEhICADgv//9LwoLC232pWykbO3atTCZTE7fgzPnJSYmom3btmjT\\\n",
       "pg2uXLkiv8oW59i+fTuAG1MDTSYT5syZYzXy5M6zY4cOHUJmZiaefPJJ6HQ6uXzQoEFo06aN/PmU\\\n",
       "9/jjj5u979u3L86fP1/htfz8/OSf8/PzceXKFfTt2xeFhYX466+/XO67pYKCAtx7770IDQ3Ft99+\\\n",
       "a/b3YPPmzU69EhIS5HOKiork0cLyyj6noqIih/2p7PnOunr1KgAgNDS00m1NnDjR7O9Rr169IITA\\\n",
       "xIkT5TK1Wo3u3bvb/DMv64OzI7JEROQeThklIsXIyspCXl6e09PPYmNjzd6X7cl20003mZX7+vqi\\\n",
       "efPm8vHY2FhMnz4dixYtwooVK9C3b18MGTIEDz/8sBwWH3jgASxbtgyPPvoo/u///g8DBgzAfffd\\\n",
       "h/vvv9/h81/OnHf27FmcPn0aDRs2tNlGZmYmAODcuXNQqVRo166dU59HRex9PgDQpk0b7N6926xM\\\n",
       "p9NZ9TE0NBTZ2dkVXuvkyZOYPXs2tm3bhry8PLNj5Z/TdNekSZNw7tw57N27F2FhYWbHLKeVOsPP\\\n",
       "z8/m85vFxcXycW+e7yrhgef2mjZtava+7O9+dHS0VbmtP/OyPlTnwjZERErAQEhEZEdlvmS//fbb\\\n",
       "GD9+PNauXYtNmzbh6aefxsKFC7F//35ERUXBz88Pu3btwvbt27F+/Xps3LgRq1atwh133IFNmzbZ\\\n",
       "XXHSmfNMJhM6duyIRYsW2WzD8gt5dXG0qqYjOTk56NevH4KDgzF//ny0aNECOp0OR44cwcyZM10a\\\n",
       "cbXl3XffxbfffotvvvkGnTt3tjqenp7uVDshISHy36HGjRtj+/btEEKYBZy0tDQAQGRkpMO2Gjdu\\\n",
       "LNctz9nznVUWfp0J5WXshUd7f762ym21UdaHBg0aON0XIiJyHaeMEpFiNGzYEMHBwThx4oRb55dt\\\n",
       "0n3mzBmzcr1ejwsXLlht4t2xY0fMnj0bu3btwm+//YaUlBQsXbpUPq5SqTBgwAAsWrQIp06dwiuv\\\n",
       "vIJt27bJUzrtqei8Fi1a4Nq1axgwYADi4+OtXmUjeC1atIDJZMKpU6ccXs/ZERp7n09Zmac2Od+x\\\n",
       "YweuXr2K5cuX45lnnsE999yD+Ph4m9McXR1d+u233/Cf//wH06ZNw+jRo23Wady4sVOvVatWyed0\\\n",
       "7twZhYWFOH36tFlbBw4ckI870rlzZxw5csQq7B44cAD+/v5o3bq1S/dpT5s2bQAAFy5csHk8Pz/f\\\n",
       "qqxsxNnTyvpguRAPERF5FgMhESmGSqXCsGHD8PPPP+PQoUNWxyuaJhcfHw9fX1+89957ZnU/++wz\\\n",
       "5ObmYtCgQQCAvLw8lJaWmp3bsWNHqFQqedrftWvXrNovCwW2pgaWcea8kSNHIiUlBZ9++qlV3aKi\\\n",
       "InnF1GHDhkGlUmH+/PlWQaP8/QUEBFhtq2FL9+7d0ahRIyxdutTsHn799VecPn1a/nwqq2yEqXwf\\\n",
       "9Xo9lixZYlU3ICDA6SmkaWlpGDlyJG699VZ5pVJb3HmGcOjQofDx8THroxACS5cuRZMmTdC7d2+z\\\n",
       "fvz1118wGAxy2f3334+MjAz8+OOPctmVK1eQmJiIwYMH23y+0B1NmjRBdHS0zX8/AFhtMfLrr7+i\\\n",
       "uLjYK1tDHD58GCEhIWjfvr3H2yYiov/hlFEiUpRXX30VmzZtQr9+/eQtGdLS0pCYmIjdu3ebbYtg\\\n",
       "qWHDhpg1axbmzZuHu+66C0OGDMGZM2ewZMkS9OjRAw8//DAAYNu2bZg6dSpGjBiB1q1bo7S0FF9/\\\n",
       "/TXUajWGDx8OAJg/fz527dqFQYMGoVmzZsjMzMSSJUsQFRXlcPsBZ84bM2YMVq9ejccffxzbt29H\\\n",
       "nz59YDQa8ddff2H16tX473//i+7du6Nly5Z44YUXsGDBAvTt2xf33XcftFotfv/9d0RGRmLhwoUA\\\n",
       "biz//9FHH+Hll19Gy5Yt0ahRI3mBmvJ8fHzw+uuvY8KECejXrx9GjRolbzsRExODZ5991t0/NjO9\\\n",
       "e/dGaGgoxo0bh6effhqSJOHrr7+2GUq6deuGVatWYfr06ejRowcCAwMxePBgm+0+/fTTyMrKwnPP\\\n",
       "PYfvvvvO7FinTp3QqVMnAO49QxgVFYVp06bhzTffhMFgQI8ePbBmzRr89ttvWLFihdk0ylmzZuHL\\\n",
       "L7/EhQsX5H0T77//ftxyyy2YMGECTp06hQYNGmDJkiUwGo2YN2+e2bV27dqFXbt2Abjx3GxBQQFe\\\n",
       "fvllAMBtt92G2267zWFfhw4dip9++slqeisAnD59GnfffTeGDBmC1NRUvPvuuwgJCcHevXvx7bff\\\n",
       "YtSoUS5/NvZs3rwZgwcP5jOERETeVh1LmxIRVadLly6JsWPHioYNGwqtViuaN28upkyZIkpKSoQQ\\\n",
       "/1s239bWFELc2GaiTZs2wsfHR4SHh4snnnhCZGdny8fPnz8vHnnkEdGiRQuh0+lE/fr1xe233y62\\\n",
       "bNki19m6dasYOnSoiIyMFL6+viIyMlKMGjVK/P333w777ux5er1evP7666J9+/ZCq9WK0NBQ0a1b\\\n",
       "NzFv3jyRm5trVvfzzz8XXbp0kev169dPbN68WT6enp4uBg0aJIKCggQAeYsAy20nyqxatUpur379\\\n",
       "+mL06NEiOTnZrM64ceNEQECA1f3NnTtXOPO/pj179ohbbrlF+Pn5icjISPHcc8+J//73v1b9uX79\\\n",
       "unjooYdEvXr1BACHW1D069fP7hYStrZbcJXRaBSvvvqqaNasmfD19RXt27cX33zzjVW9si05Lly4\\\n",
       "YFZ+7do1MXHiRBEWFib8/f1Fv379bP4dLfsM3b2PI0eOCABW25YAENOnTxcjRowQfn5+onHjxuKD\\\n",
       "Dz4QS5cuFf7+/uLRRx8VQtj/96esX5Zbptj6u3D69GkBwOzfGSIi8g5JCC/M8yAiIqJaa8CAAYiM\\\n",
       "jMTXX38tl0mShLlz5+Kll17y+vWnTZuGXbt24fDhwxwhJCLyMj5DSERERGZeffVVrFq1St5KpCpd\\\n",
       "vXoVy5Ytw8svv8wwSERUBfgMIREREZnp1asX9Hp9tVw7LCwM169fr5ZrExEpEUcIiYiIiIiIFIoj\\\n",
       "hERERFQhLjlARFQ3cYSQiIiIiIhIoRgIiYiIiIiIFIpTRomoVjKZTEhNTUVQUBBXIiQiM0II5Ofn\\\n",
       "IzIyEiqV67/7HjRoEP7880+XzunUqRPWr1/v8rWIiKob9yEkolopOTkZy5Ytq+5uEFENNW/ePCQl\\\n",
       "JSEqKsql8wYNGoQNGza4dc27776boZCIah2OEBJRrRQUFAQAHB0kIrvK/jvhCldHBt0919Z/u8p+\\\n",
       "Rz9jxgy89dZbNs8xmUxu94+IyBYGQiKqlRgEiagilf3vhLPne3qy1TfffFMl1yEiAhgIiYiIiKxI\\\n",
       "kuRSoHQ1rJWvb3mdtLQ0m/0p+yeDIRF5EgMhERERkQV3AmFycjKio6Plsri4OKxevdqj/XL1mUgi\\\n",
       "ooowEBIRERFZcDUQlklOTpZ/TkxM9EhfBg0aJP+clJTkkTaJiMowEBIRERFZcDcQlh/Bi4uLq3Q/\\\n",
       "ZsyYIa96ytFBIvIGBkIiIiIiC+4EwqioKI+O4JVfbTQgIICjg0TkFa7v1kpEREREXlU+DOp0Oly/\\\n",
       "fr2ae0REdRUDIREREZGFshFCZ1+uuummm6zOLXtvuQ+hwWCARqOBRqPBpEmTPHJ/RERlGAiJiIiI\\\n",
       "LHg7EP799992j1luSm80GuXXsmXLXL4WEZEjfIaQiIiIyIK7Qc9Z3EuQiGoKBkIiIiIiC94OhERE\\\n",
       "NQUDIREREZEFBkIiUgo+Q0hERERERKRQHCEkIiIissARQiJSCo4QEpHTXnvtNUiShGnTpjmsl5iY\\\n",
       "iDZt2kCn06Fjx47YsGGD2XEhBObMmYPGjRvDz88P8fHxOHv2rBd7TkTkGm+vMkpEVFMwEBKRU37/\\\n",
       "/Xd8/PHH6NSpk8N6e/fuxahRozBx4kQcPXoUw4YNw7Bhw3DixAm5zhtvvIH33nsPS5cuxYEDBxAQ\\\n",
       "EICEhAQUFxd7+zaIiJzCQEhESsFASEQVun79OkaPHo1PP/0UoaGhDuu+++67uOuuuzBjxgy0bdsW\\\n",
       "CxYsQNeuXfHBBx8AuDE6+M4772D27NkYOnQoOnXqhK+++gqpqalYs2ZNFdwNEVHFGAiJSCkYCImo\\\n",
       "QlOmTMGgQYMQHx9fYd19+/ZZ1UtISMC+ffsAABcuXEB6erpZnZCQEPTq1UuuY0tJSQny8vLMXkRE\\\n",
       "3sJASERKwUBIRA599913OHLkCBYuXOhU/fT0dISHh5uVhYeHIz09XT5eVmavji0LFy5ESEiI/IqO\\\n",
       "jnblNoiIiIjIBgZCIrIrKSkJzzzzDFasWAGdTletfZk1axZyc3PlV1JSUrX2h4jqNo4QEpFScNsJ\\\n",
       "IrLr8OHDyMzMRNeuXeUyo9GIXbt24YMPPkBJSQnUarXZOREREcjIyDAry8jIQEREhHy8rKxx48Zm\\\n",
       "dTp37my3L1qtFlqttrK3RETkFAY9IlIKjhASkV0DBgzA8ePHcezYMfnVvXt3jB49GseOHbMKgwAQ\\\n",
       "FxeHrVu3mpVt3rwZcXFxAIDY2FhERESY1cnLy8OBAwfkOkRENQFHB4lICThCSER2BQUFoUOHDmZl\\\n",
       "AQEBCAsLk8vHjh2LJk2ayM8YPvPMM+jXrx/efvttDBo0CN999x0OHTqETz75BADkfQxffvlltGrV\\\n",
       "CrGxsXjxxRcRGRmJYcOGVen9ERHZ40rYYygkotqMgZCIKuXy5ctQqf432aB3795YuXIlZs+ejeef\\\n",
       "fx6tWrXCmjVrzILlc889h4KCAkyePBk5OTm49dZbsXHjxmp/TpGIqAwDIREphSSEENXdCSIiV+Xl\\\n",
       "5WHRokX8IkZENr300kvIzc1FcHCwS+dFR0cjOTkZDRo0MPtllyMmkwlXrlxBVFQUF7wiolqHzxAS\\\n",
       "EREREREpFKeMEhEREVnglFEiUgoGQiIiIiILDIREpBQMhERU582dO7e6u0BEHjRv3jyvX4OBkIiU\\\n",
       "goGQiIiIyAIDIREpBQMhERERkQUGQiJSCq4ySkREREREpFAcISQiIiKywBFCIlIKBkIiIiIiCwyE\\\n",
       "RKQUDIREREREFhgIiUgpGAiJiIiILDAQEpFSMBASERERWWAgJCKl4CqjRERERERECsURQiIiIiIL\\\n",
       "HCEkIqVgICQiIiKywEBIRErBQEhERERkgYGQiJSCgZCIiIjIAgMhESkFAyERERGRDQx6RKQEXGWU\\\n",
       "iIiIiIhIoThCSERERGSBU0aJSCkYCImIiIgsMBASkVIwEBIRERFZYCAkIqVgICQiIiKywEBIRErB\\\n",
       "QEhERERkgYGQiJSCgZCIiIjIAgMhESkFt50gIiIiIiJSKI4QEhEREVngCCERKQUDIREREZEFBkIi\\\n",
       "UgpOGSUiIiKyUBYInX15ov3yzp0755HrEBFVhIGQiIiIyIK3A2FFWrZsabN80KBBHr8WESkbAyER\\\n",
       "ERGRBW8HQiGE/LJ07tw5q3oREREAgA0bNrh/U0RENjAQEhEREdUgtkYH09LSqqEnRKQEXFSGiIiI\\\n",
       "yII7i8okJycjOjpaLo+Li8Pq1avd7oNKxd/bE5H3MRASERERWXB3ldHk5GT558TERI/3i4jI0xgI\\\n",
       "iYiIiCy4GwijoqLkn+Pi4irVB5PJVKnziYicwUBIREREZMGdQBgVFYWkpKRKX/uff/6xeo6w/FRU\\\n",
       "IiJPYiAkIiIisuDtjelvuukm/P333zbbKb/yqGXbd999t8vXIiJyhE8rExEREVUxyzBo6Z9//rFZ\\\n",
       "vn79em90h4gUjCOERERERBa8PUJoa//B8lq0aFFhHSIiT2AgJCIiIrLBnaBHRFTbMBASERERWfD2\\\n",
       "CCERUU3BQEhERERkgYGQiJSCgZCIiIjIAgMhESkFAyERERGRBQZCIlIKbjtBRERERESkUBwhJCIi\\\n",
       "IrLAEUIiUgoGQiIiIiILDIREpBQMhEREREQWGAiJSCkYCImIiIgsMBASkVIwEBIRERFZYCAkIqXg\\\n",
       "KqNEREREREQKxRFCIqIazN7IgxCiintSfQoLCxEQEOD2+RV9VhqNBkaj0e32axsl/d2pDI4QEpFS\\\n",
       "MBASEdUyvr6+1d2FKnXlyhW3z1Wr1RXWUVIYJOcxEBKRUjAQEhHVMgUFBdXdhSp14sQJt89NS0tz\\\n",
       "eLy0tNTttqluYyAkIqVgICQiqiW0Wi3y8/Oh0SjrP90tW7Z067y7774bDRs2dFinXr16brVNdR8D\\\n",
       "IREpBReVISK7Fi5ciB49eiAoKAiNGjXCsGHDcObMmQrPS0xMRJs2baDT6dCxY0ds2LDB7LgQAnPm\\\n",
       "zEHjxo3h5+eH+Ph4nD171lu3UasJIeRXcXExfHx8qrtLVa5169Z2j2VmZpp9RiaTCUVFRRBCYP36\\\n",
       "9Q7bzcrKcnu0tVOnTvjhhx8QFRXl1vlU85UFQmdfRES1FQMhEdm1c+dOTJkyBfv378fmzZthMBgw\\\n",
       "cOBAh1+i9+7di1GjRmHixIk4evQohg0bhmHDhplN+3vjjTfw3nvvYenSpThw4AACAgKQkJCA4uLi\\\n",
       "qrgtqoVWr15t9j4wMBBCCKsRQEmSoNPpKmwvNTUVjRo1cqsvJpMJf/zxB+677z4kJSVBCAGVqub8\\\n",
       "7zQqKgoZGRk4depUjeoXERHVTMqad0RELtm4caPZ++XLl6NRo0Y4fPgwbrvtNpvnvPvuu7jrrrsw\\\n",
       "Y8YMAMCCBQuwefNmfPDBB1i6dCmEEHjnnXcwe/ZsDB06FADw1VdfITw8HGvWrMGDDz7o3ZuiWmnE\\\n",
       "iBHyKKkzgc8eIQT8/f3d/uVDdna2zdEgo9FYI0aJSktL5YV0GjVqBKPRiMjIyAqfpSRrnDJKRErB\\\n",
       "Xx0SkdNyc3MBAPXr17dbZ9++fYiPjzcrS0hIwL59+wAAFy5cQHp6ulmdkJAQ9OrVS65jS0lJCfLy\\\n",
       "8sxeVPNlZmZCpVJBkiTcfvvtlW6vMmGwbdu2UKlUlRqJdvTM4fbt291u1xNMJpPNVVVTU1MV99yp\\\n",
       "J3DKKBEpBQMhETnFZDJh2rRp6NOnDzp06GC3Xnp6OsLDw83KwsPDkZ6eLh8vK7NXx5aFCxciJCRE\\\n",
       "fkVHR7t7K1RF3n//fYSHh8v73u3YsQMvvPBCtfQlPj4ef/31V6XaaN++vcPj/fv3r1T7lVFSUuIw\\\n",
       "lBgMBvj5+VVhj2o/BkIiUgoGQiJyypQpU3DixAl899131XL9WbNmITc3V34lJSVVSz/IOSaTCU8/\\\n",
       "/bRV+WuvvebwvMLCQpw/f97j/dmxY0el2zh+/HiFdYKCgip9HVfp9Xqn9qYsLCzkNhsuYhgkIiVg\\\n",
       "ICSiCk2dOhW//PILtm/fXuGqihEREcjIyDAry8jIQEREhHy8rMxeHVu0Wi2Cg4PNXuQZ586dg0ql\\\n",
       "gkqlQk5Ojkfa1Gq1NssdbRQfGBiIgIAAtGjRwukv2WWrjFakoumc/v7++PDDD5GTk4OioiIkJSXh\\\n",
       "zjvvhCRJ8PX1RUFBgVN9ys7OdqrftqjVakRFRaF169Zo0KAB/Pz8oNFo5Cm3kiRBpVJBq9WiZ8+e\\\n",
       "uHr1KoQQLq086+jzJ3McISQipWAgJCK7hBCYOnUqfvrpJ2zbtg2xsbEVnhMXF4etW7ealW3evBlx\\\n",
       "cXEAgNjYWERERJjVycvLw4EDB+Q6VLU+//xzedsGZ0bBKpKfn293JGr//v12z7FcvbZZs2Z2r3H9\\\n",
       "+nVIkoTw8HCoVKoKt4/o27cvTCYTtmzZgg8++AB//vkn9Hq9fN8FBQV48sknERISAp1Oh6ioKGza\\\n",
       "tAkmkwklJSXw9/ev4K5vUKvVmDVrllN1y/j4+MBkMqG0tBRJSUk4c+YMsrKyUFhYCIPBAKPRCJPJ\\\n",
       "BJPJBKPRiOLiYhw4cMDhs7xERETOYiAkIrumTJmCb775BitXrkRQUBDS09ORnp6OoqIiuc7YsWPN\\\n",
       "vgA/88wz2LhxI95++2389ddfeOmll3Do0CFMnToVwI3fuk+bNg0vv/wy1q1bh+PHj2Ps2LGIjIzE\\\n",
       "sGHDqvoWCcArr7yCvXv34tChQ+jbt2+F9Y1GI/z8/CBJEvz9/c32kDx79qzD0duuXbva7YOl5ORk\\\n",
       "u+1YTs0MDAx0+AwqcOPv3oABAzBlyhR07NjRa3s6vvrqq/j999+dquvj4wO9Xs8RphqII4REpBRc\\\n",
       "doyI7Proo48AWC+W8cUXX2D8+PEAgMuXL5vtdda7d2+sXLkSs2fPxvPPP49WrVphzZo1ZgvRPPfc\\\n",
       "cygoKMDkyZORk5ODW2+9FRs3bqzUCpJUOa6MzpZfsbKoqMjhxvHOeuKJJ/D666+bldlbxGXUqFE2\\\n",
       "yyMjI2EymSrdF0/o3r27vOqnoymter2+CntFruC2E0SkFAyERGSXM89m2VqsY8SIERgxYoTdcyRJ\\\n",
       "wvz58zF//vzKdI+qwVNPPeWVdps1awZJksz+zv35558269pb2EgIgS1btlhte1JdJEmCyWSCRqOB\\\n",
       "0Wi0Oj58+PBq6FXdCC+zZs1yaiGdymAgJCKl4JRRIiJy2gcffFCp8x1tfWAymfDDDz/gvffec+qX\\\n",
       "EbbceeedaNy4cY0aeSstLbX5DOL3339fDb0hZ3HKKBEpBUcIiYjIKdeuXat0G8XFxVYjgeXdd999\\\n",
       "lb5Genq6vMqpRqOpEc/oFRQU4Ny5c+jatSuaNWtmd/STag6OEBKRUnCEkIiInBIWFuaxtgIDA90+\\\n",
       "94033nC6bmlpaY3ZaqFFixbIzc11OgxevnxZDiVt2rTxcu/IEkcIiUgpGAiJiKhCP/74o0fbq2ib\\\n",
       "CEdmzJiByZMnO13f3emn5en1+krtMeiO8ttunDlzBg0bNqzS6xMRkTIwEBIRUYU8vQBK7969K3X+\\\n",
       "xx9/DCEE/vWvf3moR/b5+vpCq9Wifv36kCTJ7h6LnnTw4EGrsitXrth9hrOgoKDGrLBaV3CEkIiU\\\n",
       "goGQiIiqVJs2bbBnzx6PtLVhwwYIIRwuVtOyZUu32//ll19gMBjMyry1f2F54eHhNsufeuopNGrU\\\n",
       "CKmpqdi7dy98fX0hSRICAwOhVquxf/9+r/dNKRgIiUgpGAiJiMij1Go1zp8/j9LSUhQXF+PUqVP4\\\n",
       "6aefkJWVBSEETp8+7fFrFhYWQghhtWG9r68vzp4963a7M2bMsFm+efNmm+WfffaZHBCCg4Pdvm75\\\n",
       "6aKWsrKy0KRJE/Tp08cqrPbp08fta5I5BkIiUgoGQiIiqlBqaqpT9Q4ePIjS0lLExsZCrVZDq9Wi\\\n",
       "bdu2GDZsGBo0aODlXgJ5eXkQQiA/Px+lpaUoKSmpVHsLFiywWT5w4ECrsk6dOuHRRx+V3+fn5yMx\\\n",
       "MdHm+SaTCT4+PpAkye4IZlpamsv9rYrRS6VgICQipWAgJCKiCjVu3BgmkwmtWrWyeTwkJARCCPTo\\\n",
       "0aOKe2Zb2RTKyrr//vvtHpMkCbt378bp06ehVqtx/PhxqzoPPvigzXPVarX8LOK5c+cQEBBgVSci\\\n",
       "IgL//e9/XepvXl6eS/XJPgZCIlIKBkIiInKKJEn4+++/IYSAEAKlpaUoLS2FEAI5OTnV3T2vefbZ\\\n",
       "Z+0e69u3L9q1a2d3QRdb5bZWPS0sLLR5/sCBA+2GSksFBQXw9fWtsF7Zn19tfmm1WgY0IiIPYSAk\\\n",
       "IiK3qNXqGrPHnzctWrQIKpV7/7u09fm4Gla+/fZbh9cvG5319/d3uX9kH0cIiUgpGAiJiKjKGY1G\\\n",
       "GI3G6u6G086fP+/WeTt27LBZ3r59e7P3TZs2ddiOva0uzpw5U6dHZ6sTAyERKQUDIRERVZmFCxdC\\\n",
       "kiRoNBpoNBr555MnT1Z31wAAGRkZUKlU8pf869evAwCioqJc/tL/1FNP4dZbb7V57MSJE0hLS0Of\\\n",
       "Pn3w119/4dKlSw7bkiQJBoMBwcHBUKlUuP/++yGEQOvWrV3qEzmPgZCIlEJT3R0gIiJlmD9/PubO\\\n",
       "nWtVbjQa0aFDB6tySZIQGRmJo0ePomHDhl7vX1JSktVIXVBQELKyshAaGgo/Pz+7z/qVUavVyMnJ\\\n",
       "QWBgYIXXi4iIwO7du53un0ajQW5urtP1qXJcCXoMhERUm3GEkIiI3FJaWur0tE+j0WgzDDoihEBK\\\n",
       "SgoaNWoESZKgVqvRvHlzNGvWDD4+PlCpVPD19UV6errDdspGIiVJwuLFi+3Wszdtc8OGDVCpVEhI\\\n",
       "SHB4nYEDB6K0tNSpMEg1H0cIiUgpGAiJiMglycnJkCQJPj4+0Gg0uOeeeyo8R6Op/IQUk8mECxcu\\\n",
       "4PLly/LqpgaDAY0bN8aoUaNsnqNSqcxC6/Tp0xEZGWlVb+vWrXav+/DDD0OSJKxatcpuHZ1O5/IW\\\n",
       "EURERDUBAyERETnl8uXLUKvViI6ONitfv369w/OqYrP07777zmpFz9tvv93mFg9paWnw8fGRt4TI\\\n",
       "y8tDfHy8zXZTUlLkFT59fHwQGhpqs15RUZHD/j3wwANQqVTQarU4ceJEhfdD1Y8jhESkFAyERERk\\\n",
       "Zd26dfD19TX7wtusWTO7++3ZM3PmTLsrZHqayWRCo0aNcO3aNfTu3dvuCp/AjemuarUakiQhJCTE\\\n",
       "Zp0nn3zSajTx2rVrVvUqmjabmpqK1atXQwgBvV6Pjh07mi1YQzWXt8LgZ599ZrOdc+fOeeEuiIgc\\\n",
       "46IyREQKkZeXB6PRiHr16tn9EpuamoomTZp47JpvvPGGx9pyRlZWFsLCwirVxrhx47B8+XK7x4UQ\\\n",
       "WLFiBerVq4dBgwZV2N79999vszwoKAglJSVObSbvKQkJCZza6iRvLirz6KOP2ixv2bKlzVFtIiJv\\\n",
       "YiAkIqrjTp48abWKpyRJuO+++/D5559Dp9Nh//79uP32210eASxrq644efIk2rVrV2G90aNHO92m\\\n",
       "ow3jAwICYDAYnG7LXSUlJdDpdF6/Tl1SFauMlg9/denfIyKqXThllIiojrO1pYMQAj/88ANCQkKg\\\n",
       "1WrRr18/t8IgADRq1MjuMXvP5tVEkiQ5FQZd5WgxmqqaTssw6Dp3niFMTk5GdHS0/Bo5cmSF1yj/\\\n",
       "TyKi6sBASERUgyUnJ1cqNFTFvnXh4eF2j23evBlfffWVvDCLJEnyz45kZ2dDCAEhBO68884K6zvT\\\n",
       "ZkXef//9SrdhS1hYmN0v/JVZffXatWtyGHG0JQanILrH3UVlkpOT5VdiYqLNtstP2y1/Lv+siKg6\\\n",
       "MBASEdVg0dHR8PHxsVpB01nBwcEe7pG1pKQkh8fHjBkDo9EIIQRMJpP8s9FoROPGjc3q3n333RBC\\\n",
       "oF69enLZpk2b7G5M/9hjj8ltlZSUVNhXR5/jlClTKjzfXfYWnqnMwjINGjSQf960aRNat25tsx5D\\\n",
       "RtWKioqSXyNGjLBZx16A50ghEVUHBkIiolrAZDLh1ltvdfk8SZIghHDri6Zer5dH6YQQuOWWW2zW\\\n",
       "y87Odrlt4MaoXmpqqtk17G1hkZmZicmTJ8vvfXx8IITA0qVL5TJfX1+7o6ll91K2f6EQAkVFRfj5\\\n",
       "559RXFzsMDRlZWWZjQSpVCro9XqX7rXsz6GsDyaTCUIIaLVal9opz7LPZ8+eRefOna3qeWL0VInc\\\n",
       "GSGMiopCUlKS/Fq9erXDa5T/u09EVF34fwkiolrip59+cvtck8nk9H6AarXaZv19+/a5fX1P+Pjj\\\n",
       "j+VRRnuBTK1WIyUlRX4vSRJKSkps3rtOp8M999xTYSizfEayLMhdunTJjbuAvN1FZdlq448//rBZ\\\n",
       "t6J9Eska9yEkIqVgICQiquEkScKhQ4fsTpt01vHjx+Uvr+Wf0St7lU3lLC0ttfsFNysrq1J98ISK\\\n",
       "vnxHRkbK92QymSq1rYOjhXZiYmLcbtcT1q1bZ7O8oKDAqkyn08FkMqFt27be7ladURWBkIGSiGoC\\\n",
       "BkIiohqsLNR069at0m1NnTpVnppW/hm9Ms5MLWzQoAGCgoLMyhytMlrbVfRF/fz581XUE2v33HOP\\\n",
       "zfKBAwfaLJckCadOnfJml+oUbwbC2NhYm+X29ickIvIm7kNIRKQA2dnZ2LJlC4D/Pbfk7qhEXl6e\\\n",
       "PK0UANLT0z3Wz5qm7Mu+vWe8/vzzTzRv3ryKe/U/ISEhVivJ7t27t5p6U7d4cx/C6vxFAhGRJY4Q\\\n",
       "EhEpQNeuXc3enzx5slLtrV+/Hmq1GgMHDqzz093at2/v1rGqwBElIiKqLAZCIiIFuHjxotn7jh07\\\n",
       "Vqq9u+66C3q93mw/tbrq+PHjdreraNWqVRX3xtzs2bNtlqemplZxT+oeLipDRErBQEhEVEv9888/\\\n",
       "Zl9Ijx8/7tL5lV3qXknbGZSWlqJly5ZmZX/++Wc19eZ/Lly4YLO8adOmVdyTuoeBkIiUQjn/Nyci\\\n",
       "qkOysrKsRqc6deqEY8eOOd2GoxU07TEajWjVqhX8/Pxw6NAhl8+vjJKSEvzxxx/Yvn07cnJyqvTa\\\n",
       "wI19/sr2LxRCVHqU1RN69uxps9xoNLr150v/w0BIRErBQEhEVAtFRETYLO/SpYvNcluLWNibBmnP\\\n",
       "7bffDo1Gg3/++QfFxcXo0aNHlWyovXbtWkiSBJ1Oh86dO+OOO+5AaGgo7rjjjkq1azKZ4O/vD0mS\\\n",
       "4OPjA4PB4NR5Op2uUtf1hMzMTGg0GpSWltqtU93bYtR2DIREpBQMhEREtZCrQSw2NhaXLl2Sv7ga\\\n",
       "jUaXzj9z5gx27NhhVd6vXz+X2nGV0WjEsGHDbB5zNsDZIoSAWq2WN2wvLS2t1H6FAJCTk4PevXvj\\\n",
       "m2++qVQ7FQkLC0N4eHiFf4ZJSUle7Uddx0BIRErBQEhEVAstXLjQZnmnTp3sntO0aVOYTCYIIVx+\\\n",
       "/u/mm2+2Wb5nzx6X2nFVWlqa3WO//fab2+3aC3/u7tP39ttvIzQ0FPv27cOYMWPsfr5GoxH9+/fH\\\n",
       "vHnz3LrOoUOHcO3aNafr1+U9IomIyDMYCImIarD4+HjMnj0bxcXFZuUzZ85ESkqKWfDo3bs3/vjj\\\n",
       "D6/0w94IiKvTTl0VFRVls7yi0UEhBEpKSuweszfVctGiRa518P/7z3/+Y3UNHx8fszK9Xg+NRoOd\\\n",
       "O3fipZdeQr169Vy+zq233upS/aysLKSkpLh8HeIIIREpBwMhEVENtnXrVrzyyivw8/OzeiYsMjIS\\\n",
       "RqNR3mjem6N19oLmzp07vXbNMiaTCT169ICfnx9mz54NIQQ0Go3d+j169IBKpYJOp7MZWPV6vd1z\\\n",
       "4+LiPNJn4MY01ODgYOTn52Pfvn3QarVmx3Nzc9GhQwd5+m9paSkyMzMdLgZjL+Q6YhmqXQ06NfFV\\\n",
       "UlIi/72396osBkIiUgr7/0clIqIa5dKlS9V27datW6NJkyZmo03BwcEeDVD2SJKEgwcPOlU3MzPT\\\n",
       "bPVTk8mETz/9FJMmTZLLHIXJMWPGuNXH9u3b4+TJk1bl+fn5CA4OtnveyZMnbU4vbdKkCZKTk83K\\\n",
       "hg8f7lbfAMDf3x+FhYVun69ErgQ9BkIiqs0YCIlquQsXLuC3337DpUuXUFhYiIYNG6JLly6Ii4ur\\\n",
       "EashUt2RnJwMg8GAbdu2oX///lYjXjVBs2bNrMqmTp1qFggdTXN1d2GZEydOeDQUpKSkIDIyUt5g\\\n",
       "PiUlBT/++KPb7RUVFeH06dNo27atp7qoCAx6RKQEDIREtdSKFSvw7rvv4tChQwgPD0dkZCT8/Pxw\\\n",
       "7do1nDt3DjqdDqNHj8bMmTNtfkmm2qdPnz7V3QX4+PggISGhurthl61nA53djy8zM7NS1xZCeDRA\\\n",
       "pKWlQa1We2wKZLt27bz+zGddwhFCIlIKPkNIVAt16dIF7733HsaPH49Lly4hLS0Nhw8fxu7du3Hq\\\n",
       "1Cnk5eVh7dq1MJlM6N69OxITE6u7y1RJ3bp1w+7duyvdjslkQseOHTFo0CAP9Krmue2226zKLBd3\\\n",
       "sadhw4aVvn5ISEil2yivbFVYW/z9/ZGSkoKJEyc63Z6r240QEVHdxxFColrotddeczhKo9Vq0b9/\\\n",
       "f/Tv3x+vvPIKLl68WHWdI4/y5MbvBoNBnhJZNsXxn3/+QYsWLTx2jeq2evVqNGjQwKzMchGZZcuW\\\n",
       "WZ3naBsOo9Ho1MiaEAK5ublO9rRikiShcePG8rRRy2MFBQUAbtzPN99849aCM2QfRwiJSCk4QkhU\\\n",
       "C7kyZS8sLAzdunXzYm+othg9erRVWZs2baqhJ95jawEXy1GxZ555xqqOvedtN2/ejLCwMMycObPC\\\n",
       "az/33HNO9tI5Q4YMwerVq20e69evn9n71q1be/TaxFVGiUg5GAiJ6ojMzEycOHECf/75p9mLqMz3\\\n",
       "339vVVZaWlqn/p7YG8k7cuQIgBub2dtabdPWVFMAGDhwIHJzc/HGG29AkiRcuXLF7HhmZib8/f0h\\\n",
       "SRLeeuutSvb+f6ZNm4Y1a9agT58+GDhwoNXxbdu2mb2fNWuWx65NNzAQEpFScMooUS13+PBhjBs3\\\n",
       "DqdPn5anF0qSJC9wwWeGqIy/v788zbC869evV0Nv/ufuu+/Gr7/+CgCIiYnBhQsXrOrk5uaiffv2\\\n",
       "KCwsRGJiIgYMGGCzraSkJJvl3bp1Q2hoKLKzs20e//DDD63KduzYYVVW9pxh2b9j3qDVarF48WL5\\\n",
       "/fr1662eg7QMIPY+j/L1vdXfuopTRolIKThCSFTLPfLII2jdujX27t2L8+fP48KFC2b/JCpz/fp1\\\n",
       "q2flOnTogN69e1dTj4ANGzbIYRAALl68KO87KIRAYWEhtFot6tWrh5SUFGRnZyM+Ph6SJOGjjz6y\\\n",
       "aq9Vq1Z2r2UvDAJA8+bNrcoef/xxu/W9Fa40Gg2Ki4utysoHjtdee83qvEaNGlmVSZKE0tJSCCHk\\\n",
       "xWkYCp3HEUIiUgoGQqJa7vz583jjjTfQq1cvxMTEoFmzZmYvovKMRiNMJhMMBgOEEDh+/Hi19sfe\\\n",
       "aqe9evWCSqVCQECA1aIwZZ588klIkoR27dqhefPm0Gg0MBgMdq9lGazKX8uW/v37V3wDbnjhhRfk\\\n",
       "cGYwGPD666/jrrvuQlpamt3+FxYWQqfToWvXrnafZ+zRo4f8s1arhclksjmFtuzatfml1Wq9HtAY\\\n",
       "CIlIKRgIiWq5AQMG4I8//qjublAtIkkSNBr7TwyYTCYsWrQIly5dctiOyWRCQkICdDodtFotGjdu\\\n",
       "jAULFiA/P9+pkaguXbq43HdbTp8+jQsXLjicHt22bVvo9XoYjUasWbNGDof/+c9/sH//fpvn2BqB\\\n",
       "9ISXX35Z/lmj0eC5557Dr7/+ioiICLvn6HQ6FBUV4fDhw3brHDx4EIWFhSgqKrIaZSQiIrKHzxAS\\\n",
       "1XLLli3DuHHjcOLECXTo0MHqWaMhQ4ZUU8+ottJoNBBC4N///jciIiKQlpZmVefo0aPo2rWrWVl6\\\n",
       "ejrmzJmDOXPm2Gy3R48e2LBhA1QqFdq0aYOsrCyv9N9SQEAATp06Jb8fOnSow5HEMmUjP7VpmqWf\\\n",
       "n191d6HO4DOERKQUDIREtdy+ffuwZ88es+ewynBRGXJV/fr1zQJQeno6tFqt2R53L7zwAl599VWX\\\n",
       "2/799989svm7K7Zs2VLhgiuOmEwmXLx4EbGxsQ7rNW/eHOfOnZPfBwQE2FzNlGoPBkIiUgpOGSWq\\\n",
       "5Z566ik8/PDDSEtLg8lkMnsxDFJ5WVlZGD9+vM0RvzK2Fl7R6/U4ePAggBsByZ0wWB1ef/31SoXB\\\n",
       "MjExMTh27Jjd4z4+PmZhEIDN1VypduEzhESkFAyERLXc1atX8eyzzyI8PLy6u0I12JgxY9CoUSN8\\\n",
       "+eWXiIyMxLVr11w6f8CAATAYDNi7d6+XeuhZ3bp18+hG8TfffLPdzd/tLXpz5513WpU98MADHusT\\\n",
       "eRcDIREpBQMhUS133333Yfv27dXdDarhvvnmG7P3YWFhLp0fEBAAjUaDm2++2ZPd8gqdTodDhw65\\\n",
       "dI4QAmlpadixYwd27dqFy5cvm02TFULg+++/N3tGz8fHByaTyW6bmzZtgq+vr/ze19cX3333nUv9\\\n",
       "8iQhhN3wStYYCIlIKfgMIVEt17p1a8yaNQu7d+9Gx44drRaVefrpp6upZ+QJarUaOp0OS5cuxZgx\\\n",
       "Y9xq4+rVqzbLr1y5ggYNGpiV+fj42Fxw5e+//4YkSQgKCkJQUBDy8/Pd6osnRUREoH79+jhz5ow8\\\n",
       "PXro0KFYs2aNS+0MHjwYv/zyi93jGo0G8fHxePHFF3H+/HkEBgYiICDAqRBQUlKC0tJSSJJkcwuI\\\n",
       "qqDX66HVauX3tWmRHCIi8j4GQqJabtmyZQgMDMTOnTuxc+dOs2OSJDEQ1nImkwmFhYUYO3Ysxo4d\\\n",
       "Cx8fH1y9ehVBQUFOt5GYmGizPCYmBtevXzcrs9y4Hrjx9yg4OFh+f+nSJdSvX9/p63uDWq1GcnJy\\\n",
       "pUPWypUrHYZBACgtLcXGjRtx/vx5/PXXXy6PBjna4qMq6HS6ar1+bcVFZYhIKThllKiWu3Dhgt3X\\\n",
       "+fPnPXKNDz/8EDExMdDpdOjVq5e8wIg9iYmJaNOmDXQ6HTp27IgNGzaYHRdCYM6cOWjcuDH8/PwQ\\\n",
       "Hx+Ps2fPutW3ijawLikpcXnqV016WTIYDAgODoYkSdi2bZtTn9H3339vs7ygoMBqymP5aZJlHnnk\\\n",
       "EbP3oaGhTl23shx9yTYajTbDq6vGjRvndN1//vmnVn7x54ige+rClNFNmzbV2L4RUc3BQEhUR6Wl\\\n",
       "peGNN96odDurVq3C9OnTMXfuXBw5cgQ333wzEhISkJmZabP+3r17MWrUKEycOBFHjx7FsGHDMGzY\\\n",
       "MJw4cUKu88Ybb+C9997D0qVLceDAAQQEBCAhIYGbabtowIABkCQJfn5+DjeR/+233+weU6vVOHXq\\\n",
       "FIqKihASEmKzjqdGmSVJsprSbM/u3bvllXLtjQKW31vQHQUFBSgtLXW6Pr9YK0tdCIQDBw6s7i4Q\\\n",
       "US3AQEhUyz3yyCM2Xw8//DAWLFhQ6fYXLVqESZMmYcKECWjXrh2WLl0Kf39/fP755zbrv/vuu7jr\\\n",
       "rrswY8YMtG3bFgsWLEDXrl3xwQcfALgxWvHOO+9g9uzZGDp0KDp16oSvvvoKqampLj/7RTcUFxcj\\\n",
       "JiYGkiRh3bp1ZseuX79e4UIi7du3h7+/P/Ly8mweX7ZsmVWZO9Mgmzdvjo8//rjCaZ6SJKFPnz4A\\\n",
       "bkxhtRfaOnbsWOE1L126BI1GI4fRZcuWwWQyQQiBRYsWudT/n3/+2aX6NUVVjejWNXUhEJap6f0j\\\n",
       "ourFQEhUy2VnZ5u9rly5goMHD2LHjh146623KtW2Xq/H4cOHER8fL5epVCrEx8dj3759Ns/Zt2+f\\\n",
       "WX0ASEhIkOtfuHAB6enpZnVCQkLQq1cvu22S84YOHQpJktCgQQOEhoa69KyhPWVhvjxbYUqlUuG2\\\n",
       "225D48aNbbaTnZ2NAQMG4PHHH3d4veHDh1uVzZgxw6pMCIHc3Fy77Rw4cAAxMTHygjOlpaWYNGkS\\\n",
       "GjRogGHDhmHu3LkO+1Hep59+in/9619O169J7C0qRI7VpUAIWN8PEVEZBkKiWu6nn34ye61btw4n\\\n",
       "TpzA/PnzKz3iduXKFRiNRqs9DsPDw5Genm7znPT0dIf1y/7pSpvAjWfb8vLyzF5k39WrV5GTk+OR\\\n",
       "tmw9gzZp0iSz9/Xq1UNWVhZ27Nhhd+GVgoICBAQEYMaMGQ6njtoKoC+++KLNupb9KO/222+3WZ6d\\\n",
       "nY1ffvnF6WfrAgIC8OijjzpVtyaSJMkjz1tS7VT2PLW9fTSJiPh/CKI6atSoUdixY0d1d8NjFi5c\\\n",
       "iJCQEPkVHR1d3V1SlMGDB5u91+l0MJlM0Ov1EEIgOzsb9evXl1ck7dKli1UbBoMB9erVQ7NmzaDX\\\n",
       "67FlyxaroNK2bVurXxYAsDvSaW8FVSEEioqK7N6Po/0DLWVlZTldt+zaxcXFyMrKsrlIT3UwGo1W\\\n",
       "W4xQxWrj6KC9Pr3//vtmC24REZVhICSqo/744w+bX8pd0aBBA6jVamRkZJiVZ2RkICIiwuY5ERER\\\n",
       "DuuX/dOVNgFg1qxZyM3NlV9JSUku3w+5z9aImqNFYgoKCqzKdDqd2fODAwYMgNFohBBC/qejhWLs\\\n",
       "bZ/w0ksvWZU9++yzdttxlTNfnktLS9GoUSN5NM7Pzw+NGjWCTqeDJEnYvXu3x/rjrqysLAYBF9SF\\\n",
       "KaPl+5WQkFBj+0lE1YuBkKiWmz59utVr9OjRGDNmDKKjo83KXeXr64tu3bph69atcpnJZMLWrVsR\\\n",
       "Fxdn85y4uDiz+gCwefNmuX5sbCwiIiLM6uTl5eHAgQN22wQArVaL4OBgsxdVrWbNmjld98yZM1Zl\\\n",
       "I0aMsFvfmSmN48ePt1k+b948sxVqhRB49913K+6kkyIjIx0eN5lM8PHxcTiS2LdvXzzxxBMe6xN5\\\n",
       "X10IhAAXlCGiinFjeqJa7ujRozbLe/TogczMTHl7CHe/FEyfPh3jxo1D9+7d0bNnT7zzzjsoKCjA\\\n",
       "hAkTAABjx45FkyZNsHDhQgDAM888g379+uHtt9/GoEGD8N133+HQoUP45JNP5H5MmzYNL7/8Mlq1\\\n",
       "aoXY2Fi8+OKLiIyMxLBhw9zqI1WNpKQkmEymCsPb22+/bbP8lVdeqdT1b7nlFixdutTmMT8/P6hU\\\n",
       "KrRp06bS21FYys3Nxa5du3DbbbfZPO7sVMylS5fCz8/P5dVNqXq4EvRqYuiyt7gTEZElBkKiWm77\\\n",
       "9u1ebf+BBx5AVlYW5syZg/T0dHTu3BkbN26Un/O6fPmyWUDo3bs3Vq5cidmzZ+P5559Hq1atsGbN\\\n",
       "GnTo0EGu89xzz6GgoACTJ09GTk4Obr31VmzcuNHulEBHKvoiptVqa/U0uZr2RdPPz8/uc3FCCNx7\\\n",
       "771Yu3atzeMNGzas1LU/+ugjh8dNJpPHw2CZfv362f17lJ2d7XQ7ixcvRmxsLJ566ilPdY28pLYH\\\n",
       "QkeLdBERlcdASEQVmjp1KqZOnWrzmK2Fa0aMGOFweqAkSZg/fz7mz5/vqS7WWSaTCRkZGTXmt/16\\\n",
       "vR5qtRqjR4+GJElYv349cnJy5K0dHLl27ZrD50QdMZlMOHDggFvnesqjjz5qtSdj+amqznr66afR\\\n",
       "p08fdO3a1VNdIy+orYFQCCH3JyAgAAUFBTWqf0RU8/AZQqJa6K677sL+/fsrrJefn4/XX38dH374\\\n",
       "YRX0irxBkiRERETUqFFOk8mEr7/+Gl999RWuXr3qVBgEgHbt2lVY5+abb5a/iGs0Gtx///14++23\\\n",
       "4e/vX9luV9pnn31mVXbx4kW32urWrRtHcMhrylYSvX79Ol599VW53PIXGkREAEcIiWqlESNGYPjw\\\n",
       "4QgJCcHgwYPRvXt3REZGQqfTITs7G6dOncLu3buxYcMGDBo0CG+++WZ1d5k8YMmSJXjyySeruxtu\\\n",
       "y87OxokTJ8ymD5fn6+sLg8Egvzcajfjhhx/www8/VFUXKzR9+nSzZwADAgLcbqtx48YoKSmBr6+v\\\n",
       "J7pGHlZbRwgtzZo1C7NmzarubhBRDcYRQqJaaOLEiTh//jyef/55nDp1CpMnT0bfvn3Ro0cPJCQk\\\n",
       "4NNPP0XTpk3x+++/Y9WqVWjatGl1d5k8oC6sUtmxY0ekpaVZlU+YMMEsDNZUixcvNntf0QqkFdFq\\\n",
       "tZU6n7ynrqwySkRUEQZColpKq9Xi4Ycfxs8//4zs7GxkZ2cjNTUVxcXFOH78ON566y20bdu2urtJ\\\n",
       "VUijqR2TPiIjI822hcjIyMDy5curr0Muev/99+Wfy++r6K6ylYCpZmEgJCKlYCAkqiNCQkIQERFh\\\n",
       "d6Nwqhvq1atnVdagQQMIIWAwGCCEsFqsJDo6Gvn5+dDr9RgwYIDZMUmS8PLLL1f5qpfTpk2DSqVC\\\n",
       "cHCw2wvNeIu/vz/S0tLsbib/9NNPe/SZzvj4eI+1RZ7DQEhESlE7fp1MRKRQ0dHRaN68OSZPnozg\\\n",
       "4GAEBgYiJyfHrM6GDRvM3h8+fNhuexs2bJCnKXbt2tWs7nvvvVelX2yFEMjPz6+y65VXdp+Wwe7y\\\n",
       "5cuIjo4GAHkxH1ufiUqlgkajgclkqnRfTpw4Uek2ACAlJQVxcXGIjIzEvn37GFIqydvPENo7pyYt\\\n",
       "IEVEysBASERUgyUnJyM5ORm7du0CcGMfQEmSzL409urVC0eOHEHnzp0rbO+ff/6Rf87KyvJ4f2uD\\\n",
       "wsJC+Pn5Abjx5fu1117Dxx9/jC1btshhsLzc3FyEhIRYlZeWlnqkP2UrQjobKtLS0vCvf/0L6enp\\\n",
       "qFevHvR6PS5duiSH06SkJMTFxTm1EjFVj/r161d3F4iIZJwySkRUi5SUlFgFByEEunTpAkmSEBoa\\\n",
       "6jCo9OzZU/45KSnJbLTxr7/+8nh/PU2SJNx7772YNGkSVCrX/xdWVFQkh8Gy9mbNmoWLFy+iZcuW\\\n",
       "Ns8JDg5GTEyMu112St++fSusI4SAVqtFZGQk/vjjD2RkZODMmTO4cOGC1Uilo1FiV6dC1sRXSUmJ\\\n",
       "HKTtvSrLm1NGs7OzAcAr/SYichUDIRFRLWIymRxOU8zJyXG4jUFBQYHZ+9DQUPj4+MDX17dWLEKU\\\n",
       "lZWFH3/8EZ988gmMRiPOnTvn9MIud911F3Q6nVvXvXDhglvnOWvPnj3w9/fH6NGjsXLlSpw7dw56\\\n",
       "vR5CCJSWlmLs2LFQqVTQ6/Ve7Qf9T1U8Q8jnEImoJmAgJKrlxo0bJ08nJAJujDrY2utvxIgRNuuX\\\n",
       "lpa6veVDaGgorly5gqtXr6JTp05uteGsqVOnIiwszKysefPmKC0thRACJpMJer0eRUVFKCwsxKlT\\\n",
       "p9C+fXtoNBo0bdoUv/76a6Wu/9tvv1Xq/IoUFRVh5cqVGD16NFq2bAmtVguVSgUfHx98/fXXXr02\\\n",
       "WXMnECYnJyM6Olp+jRw50uVrEhFVNQZColouNzcX8fHxaNWqFV599VWkpKRUd5eoBjh58iT69esn\\\n",
       "v1+4cCG+//57j16jfv36uHbtGsLCwlC/fn388ccfuHLlCgYNGoRmzZohLCzMpWmdKpUKy5YtQ2Fh\\\n",
       "IXJycvD8888jMDAQfn5++PLLL822e7BFkiT4+PhAp9PBz88Pbdu2xYkTJ6DX63Hx4sVK3i1w6623\\\n",
       "2j125swZecqf0WjE/v37q3UbEHvThteuXVvFPam93B0hLHvuNzk5GYmJiQ6vwamiRFQTcFEZolpu\\\n",
       "zZo1yMrKwtdff40vv/wSc+fORXx8PCZOnIihQ4dyGwoF27VrF2JiYhASEoI///zT4+0fO3bMqiws\\\n",
       "LAzr1q2Tv+BevXoVHTt2rHCvPR8fH1y9ehVBQUEAbiye88orr2D+/PkwGAxuT/UEPDvq0rhxY6Sl\\\n",
       "pZmVRUZGonXr1vJ7lUqFXr16IScnB4GBgR67tquMRqPVdNrZs2dXU29qH3dXGY2KipJ/jouL83i/\\\n",
       "iIg8jSOERHVAw4YNMX36dPzxxx84cOAAWrZsiTFjxiAyMhLPPvsszp49W91dpGpy6dKlSoXBgIAA\\\n",
       "s0VYynz00Uc2V+QEbgQitVoNtVqNRo0aISMjAyaTCW3atLGqq9FoUFJSAr1eL4fB8tRqdaXCoDsc\\\n",
       "PaOZmppq9uVfpVIhOTnZZt2AgACHq4d27doVBoMBBoMBXbp0qVynbbC1Z6U3rkP/ExUVhaSkJPm1\\\n",
       "evXq6u4SEVGFGAiJ6pC0tDRs3rwZmzdvhlqtxt13343jx4+jXbt2WLx4cXV3j2qR0aNHQwiB69ev\\\n",
       "o7CwEEII6PV6XL58GUajEY8//rhL7UmShNOnT0MIgcLCQmRnZ0MIAYPB4HARnKokhJDDrCRJ+Pzz\\\n",
       "z23WM5lMeO211zB79myUlpZWOIpkK2CeOXMGhw8fhkajgUajwZEjR3D+/HmP3EeZ69evW7X51Vdf\\\n",
       "efQadVlVLypDRFRdGAiJajmDwYAffvgB99xzD5o1a4bExERMmzYNqamp+PLLL7FlyxasXr0a8+fP\\\n",
       "r+6uUg3n4+ODf//73zCZTPjmm29sHo+OjnZru4fy/Pz8bI5eedOrr76K//73vw7rhIaGmj3LNXHi\\\n",
       "RLt1Z86ciQULFjj9RV4Igc8//xwzZ86EyWQym2JaJjY2FkIIPP/880616YzBgwd7rC2l8WYgtPfM\\\n",
       "IJ8lJKLqwGcIiWq5xo0bw2QyYdSoUTh48KDNzclvv/32Kv8CTrWHyWSq0yMUjz76KD777DMAN77k\\\n",
       "25sSmpeXZ1UmSZLHvqRPmDDBqXqvvPIKXnnlFQA3AkKfPn2wb98+t645ffp0t86jG7z57wXDHxHV\\\n",
       "FBwhJKrlFi9ejNTUVHz44Yc2wyBw41kib++jRrVTgwYN6nQYBIDvvvtO/lkIgTvuuMNmvQcffNBm\\\n",
       "+ZEjR7zSL2dIkoS9e/eiefPmbp3vaJSTHKuKKaNERDUBAyFRLTdmzJgqX3SD6o7CwsLq7oLX1a9f\\\n",
       "3+z99u3bbdZbuXKlza0iLOtfu3YNQUFB8PHxwTvvvOOxfjpy/Phxj51TfquD2vrSarVeD2gMhESk\\\n",
       "FAyEREQ12J133gmtVuu19qsyEHpjilx2dja+/vprhyuDnjp1yqrM3j59BoPBbGuGshV8y5Ttu3j9\\\n",
       "+nWUlpbi2WefhSRJuH79eiXuomL+/v5O1/Xz80NRURE6dOjgxR7VfQyERKQUDIRERDXYpk2bUFxc\\\n",
       "7NXgVtF0xDlz5shfer/44gu79dLT09G9e3eMHDkSFy9eRGFhITZt2gSNRgNJkqBSqSBJErRaLa5d\\\n",
       "uyafl5+fj+DgYPkaKpUKV69erbDfw4YNQ/369TF27Fio1Wq7q5UGBgZahWqj0Wi33QULFsgjUZmZ\\\n",
       "mWZf9letWmXznKCgIPTs2bPCPntav379YDKZzEbPCgsLOWuAiIicxkVliIhqAT8/P5SWltqc0lhZ\\\n",
       "Fy5cgMlksrl6aF5eHhYsWCC/f+SRR+Dj44OHH37YrF7Dhg1x5coVAMDhw4eRmJho93p6vR5hYWF2\\\n",
       "jwsh0KBBAxQVFTkMNmvXrjV7bzAYkJubi5CQEKu6xcXF8Pf3R1FREdRqtdujrmPHjsWTTz5p89jv\\\n",
       "v/8OSZKQkpKCyMhIt9p3pEmTJkhJSZHfX7t2DaGhoR6/Dt3g7sb0RES1DUcIiYhqCbVajTlz5nil\\\n",
       "7XHjxtksb9eunVXZmDFjzN7n5ubKYdCTAgICXD4nIyPD7rHCwkIkJSUhKyurUn2q6Mt/kyZNzEY7\\\n",
       "y/Y2jIyMdNi/iiQnJ+OLL77AqlWrIIRgGPQyThklIqVgICQiqkXmzZvnlXZ//PFHm+Xp6ek2y8s/\\\n",
       "D3jTTTd5pU+Ongu0x9b+fuVFRUVVOkiVH6WrSNk0TpPJhLS0NERERMDf39/hlFVHxo8fj5EjR7p1\\\n",
       "LrmGgZCIlIKBkIiIUFJSYrPcXnApHwi9MTpYRq/X2z3Wu3dv+efIyEib+wh6Q+PGjSt1flFRkdnC\\\n",
       "Nd5UFkZLS0tRVFSEzMzMKrluXcBASERKwWcIiYhqEW+tZunqiFX55w1VKpXd8wcNGgSj0YiNGzfa\\\n",
       "PF6/fn0IIZCdnW3zuKMv2nv27MH169fh7+9v8/lHb9LpdCguLnbr3LCwMLz00kue7VA5BoMBgYGB\\\n",
       "dsM0N0R3Dp8hJCKl4AghEVEt8p///KfKruVscFCr1TbLe/bsiV9++QW//vorjhw5YvalWaVSYdeu\\\n",
       "Xbhy5QquXbuGzZs3u9R2mcDAwCoPg4B701kBQKvV4uLFi17dSiQoKMjhyCoREVF5DIRERLVEdnY2\\\n",
       "Pv74Y6+1/+WXX5q9d3ZRFx8fH5vlBw4ckH/u0qWL2fYIRqMRffv2lUNifHw8hBAwGAxYvnw5Nm7c\\\n",
       "iNLSUquwV1pa6vbzd57kTuBq27YtiouLERgY6IUe3fhsJEmyO/2XXMMpo0SkFAyEREQ12Kuvvoq7\\\n",
       "774bvr6+qF+/vlevNX78eISFhWHSpElQq9UoKiqyWc9y1M5WvYEDB7rVB41Gg3HjxiEhIUG+jhAC\\\n",
       "9erVgyRJ8PHxgUajwdChQ91q357ly5dDo9EgJCSkwsDpaMsMR06dOuXWedevX8eqVascjkqaTCa7\\\n",
       "wZzcw0BIRErBQEhEVIO98MIL+PXXX2EwGKrketeuXcOyZcscho/Ro0ebvS8tLbWq895773msTydP\\\n",
       "nkRubq5Z2bp16zzWfl5eHiZMmACj0Yi8vDxoNBoUFBTYrPvjjz/i2rVrHrt2RaZMmYKgoCA8+OCD\\\n",
       "UKvVWLhwoVUdIUSFU2vJdQyERKQUDIRERLVM27ZtvbLxubOWL19eYZ1mzZp57Hr2psl6ampkTEyM\\\n",
       "VVlQUJDNusOHD3f7OqmpqS7Vv3LlCpYsWWJW9vzzzyMwMFAexdyxY0e1PEOpBAyERKQU/L8IEVEt\\\n",
       "8v777+PUqVNISUnBV199VeXXnzNnjlNffnU6nceu2bx5c5vlnnqW0NYKp/YW1LF172q1Gnv37kVG\\\n",
       "RgYaNWpk9zpNmjRxuk8GgwENGza0eaygoAAajQaSJOH22293uk1yDQMhESkFAyERUS0yZcoU+ecx\\\n",
       "Y8Y4dY4kSVi3bp28IEtRUZFbI4wNGjTAvHnzKqzn6RGryZMn2yyvaKVOrVYLSZI8OlqZm5srf/n3\\\n",
       "9/eHwWBAaWkp4uLi0KhRI2RkZJjtj2ipoqmdQggMHToUvr6+HuszERGRIwyERES1SPmVO3fu3Flh\\\n",
       "/bKNyQcPHgy1Wg2VSgWdToeUlBQIIXDy5Emnr52VlWWz/M8//5R/njVrlsdXAbW32qm9cCWEgCRJ\\\n",
       "8kqgly9ftruZfKdOnWyW27uHoKAgebXUspE6S7t377Z5LnBj8RdHo0wqlcqjz0eS+zhCSERKwUBI\\\n",
       "RFSLxMXF4dtvv8W3336L/v37O6xrL8CV165dOzz//PMV1nP0hbdjx47ydhKvvvqq1fH/+7//g1qt\\\n",
       "RsuWLSu8jj22wl9GRobNurZG19LT063KTCYTjh8/blXu5+dXqVHOH374we1zXdW7d28UFhbCaDSi\\\n",
       "sLAQ7733HheY8RAGQiJSCgZCIqJa5qGHHsJDDz1UYb0GDRo41d4rr7xSYV1nN6m3lJeXh9dffx0m\\\n",
       "kwnnzp3z6Bfnxo0bW/Xr1ltvtbnqKQDccccd8s+lpaV2g1N+fr7bfUpNTcWIESPcPt8Ver0ee/bs\\\n",
       "kQOsn58fnnrqKZSWllbqHugGBkIiUgoGQiIiQlZWVoUb0bdq1crldl988UWrsnvuucfldmxN4RRC\\\n",
       "QKVSwdfXV15kZc+ePXbb2L59O1QqFdRqtcM9+9wZYSvbB9CVhWMq4+6773Z4D4GBgfjpp5+qpC91\\\n",
       "FQMhESkFAyEREQG4sQG6o1D4zz//uLwYzbRp06zKNmzY4FIbFW1ybzAYnH5useyZSnvsrezpSN++\\\n",
       "faFWq+2OTHrDzz//XGGdoUOHVkFP6jaGQSJSAgZCIiKS5eTkODyelpZmtQjKO++8Y7d+bGysVVlF\\\n",
       "q4NaXm/z5s1O16+swsJCm+VGo9EqSBqNRqjVaoeLyHiLM884MqgQEZEzGAiJiOqoq1evunyOq6Nc\\\n",
       "Qgg8++yzDp8xFEKYTcN09vk2IYRb22NURkFBgTyCaTQa5amoGo0GarVaDsE+Pj7QaDQORxu9JSQk\\\n",
       "xKl6JSUlXu5J3cYpo0SkFAyERER1VIcOHZyuK4TAZ599Bn9/f7euVdEX4tLSUnklUltbNdjibD1P\\\n",
       "GzRokBwC7T27WJXTQ8tTqVS4du2aU3XnzJnj5d7UbQyERKQUDIRERHWUra0WLJWN3qlUKjz66KNu\\\n",
       "rSbqjWfVSktLXR5902g0OHz4MLp27erx/tQETZs2hV6vd3pLjLffftvLParbGAiJSCkYCImI6rDy\\\n",
       "m8bbolKpKjXt8dSpU1izZo3b59szc+ZMl+pHRUWhuLgYXbt2xeHDh9GjRw+7dWNiYir1BV6tViM9\\\n",
       "PV0e8TQajSgoKEBxcbG8ab0QAr/88ovb17BlyZIlLq2A6uxCO2QbAyERKQUDIRFRHXbzzTfbPVbR\\\n",
       "AjKOvPzyyxBCoG3btm634cjy5ctdqv/LL7+YhaWDBw9afUn38/ODEAIXLlxwOwSnpaWhtLQU4eHh\\\n",
       "cplKpYK/vz+0Wq3ZNQcNGoRTp065dR1b7r33XqefC/y///s/j11XqRgIiUgpGAiJiOo4e1spTJ06\\\n",
       "1a32/vrrL7zwwguV6ZJDhYWFZmF1zpw5KCgowIoVK+yec+LECasyo9EoT69s1qyZ1QqizZs3d6o/\\\n",
       "4eHh0Ov1EEIgIiLCqXPKtG3b1mNhwWAwQKfTYezYsQ7rHTt2DK+//rpHrqlkDIREpBQMhEREddyV\\\n",
       "K1dsbvXw7bffutyWVqvFTTfdZPf4pUuX0LVrV/j7+8urctp6qVQq9OjRA+np6fI0y/z8fMTGxiIg\\\n",
       "IAAmkwkqlQolJSWYN28e/P398dBDD+GNN96wed1x48ahqKjIrEySJBiNRhgMBly8eNHqnCFDhji8\\\n",
       "1549e0IIgfT0dIebwFdk69atbp9ry9dffw1JkuDr64vx48dj3bp1+Oyzz9C5c2eoVCp06dLF4fmu\\\n",
       "Bp2a+CopKZGn5tp7ERGRcxgIiYgUQK/XQ5IkDB8+HEajEffff79b0yY/+eQTm+XTpk2DJEmIiYnB\\\n",
       "0aNHUVRU5LB9IQQOHTqExo0by4vaBAcHWwU3X19fs/cjR4602Z7RaERAQIDNY/ZWKz106JDN8sce\\\n",
       "ewxCCBw4cMBu/11x++23O70QjCsMBgO+/PJLDB06FI8++ij++OMPBiEP4gghESlF9azpTURE1eLH\\\n",
       "H390ezsHSZLw0EMPmZUZjUb4+Ph4JYiUjRyW/7Lds2dPu/WFEFCpVMjNzUVQUJC84EvZSGV5er0e\\\n",
       "+/btk99rNBokJyebPRvoSXq9vtq20SD3uBL0GAiJqDbjCCEREVlRq9W45ZZbMHDgQHTr1g2zZs1C\\\n",
       "SUmJWajJzs6GRqPx6qiUv7+/vIfhyJEjkZmZ6bC+EALBwcHytFQfHx+oVCrodDoMGzYMDzzwALRa\\\n",
       "LbRarbwK5/fffw+DweC1MAjc+DyNRiODQy3CEUIiUgr+upKIiKwsWLAAs2bNclgnLCzM6/0oLi6u\\\n",
       "1PN7ZUpKSrB27Vqr8rJptFVBpVKhtLTUpa0jqPpwhJCIlIIjhEREZKVbt24Oj9eVhTuq+h7KFtPx\\\n",
       "tDvvvBN6vR4mkwlFRUW44447PH4NpeEIIREpBQMhERFZ+eKLL6q7C1XGYDB4tL2CggKoVCpIkoTQ\\\n",
       "0FCr47ZGKt0lSRJMJhM2bdoEHx8fSJIEnU6HrVu3QgiBmTNneuxaRERUNzEQEhGRlR9++MHh8bo0\\\n",
       "IqLT6TzaXmBgoDzymJOTY/VZubPdhy0NGjSAyWRy+Gfx2muvQQiBlJQU3HzzzR6/17qMI4REpBQM\\\n",
       "hEREZKWiUbO6MF20TFmomjFjBr777jvUq1dP/pKfk5PjkWtIkoS9e/di586d+Pe//12ptho1agSD\\\n",
       "wYCsrCynz4mMjMSxY8es9mok+xgIiUgpuKgMERHZNHLkSKxevdrmsXXr1lVxb7zvrbfesioLDQ11\\\n",
       "OfxKkmTznD59+rjdNwAYOHAg/vvf/1aqDXIeF5UhIqXgCCEREdmUmJiI0aNHW5U/9NBDGDZsmFlZ\\\n",
       "27ZtkZeXB6PRiMLCQrzyyit1ZnpiaWmpS/WvXbvm8T6MGjXKY2GwbEGg2vzSarVeH7HjCCERKQUD\\\n",
       "IRHZZDAYMHPmTHTs2BEBAQGIjIzE2LFjkZqaWuG5H374IWJiYqDT6dCrVy8cPHjQ7HhxcTGmTJmC\\\n",
       "sLAwBAYGYvjw4cjIyPDWrdRq/fv3R3BwcLVdf+XKlVZffC2fgYuIiMCpU6cQFBQElUoFPz8/PP/8\\\n",
       "8ygqKrL5ZV6v12P8+PHVc0Nu+PHHH12qX69ePY9vQr9y5UqPtkcVYyAkIqVgICQimwoLC3HkyBG8\\\n",
       "+OKLOHLkCH788UecOXMGQ4YMcXjeqlWrMH36dMydOxdHjhzBzTffjISEBLMNxZ999ln8/PPPSExM\\\n",
       "xM6dO5Gamor77rvP27dUK23fvh25ubkQQqBRo0bV3R2bHnzwQZfq+/j44Isvvqg1zyE+9thjLp9z\\\n",
       "/fp1j/bBZDJ5tD0iIqIyDIREZFNISAg2b96MkSNH4qabbsItt9yCDz74AIcPH8bly5ftnrdo0SJM\\\n",
       "mjQJEyZMQLt27bB06VL4+/vj888/BwDk5ubis88+w6JFi3DHHXegW7du+OKLL7B3717s37+/qm6v\\\n",
       "VkpOTq7uLthUmX7961//8mBPvCMvL8/lc7RarUf7sHv3brfPNZlMePzxx9GuXTsMHDjQg72q2zhC\\\n",
       "SERKwUVliMhpubm5kCQJ9erVs3lcr9fj8OHDmDVrllymUqkQHx+Pffv2AQAOHz4Mg8GA+Ph4uU6b\\\n",
       "Nm3QtGlT7Nu3D7fccotX76E28/HxQWZmZo0bKfzpp5/cPnfDhg2V+jKtUqmg0Wig1+vdbqMiNWF0\\\n",
       "rl+/fggLC8Ply5fh7+/v9HnFxcXw8/OT358+fdob3auTuKgMESkFRwiJyCnFxcWYOXMmRo0aZfeZ\\\n",
       "titXrsBoNCI8PNysPDw8HOnp6QCA9PR0+Pr6WoXK8nVsKSkpQV5entlLiRo2bOjV8OMOo9GI6Oho\\\n",
       "t8+PiYmxWf7II49ACAGTyQS1Wm12TKPRQAgBo9GIkpIS+fnEoKAgt/vhSFRUlEv1f/vtN4/34erV\\\n",
       "qwgICIAkSVCpnPvfd/kwSK7j6CARKQEDIREBAFasWIHAwED5Vf4LrcFgwMiRIyGEwEcffVQt/Vu4\\\n",
       "cCFCQkLkV2UCSG3n4+OD4uLiGvVFNDk52e4WFRXZtm2bzfJly5YBuPGlPDc31+yY5UJFZSzreUpK\\\n",
       "SorTdfV6PW677Tav9KOMEKLCVVyvXLni1T7UdVU5ZZThkoiqEwMhEQEAhgwZgmPHjsmv7t27A/hf\\\n",
       "GLx06RI2b97scMXLBg0aQK1WW60YmpGRgYiICAA3VqTU6/VWG36Xr2PLrFmzkJubK7+SkpLcvNO6\\\n",
       "QavVwmQywWg04siRI9W6EmmZBx54ACUlJS6f16xZM5vl5b8cW4503XTTTRWe42lxcXEV1nnxxRc9\\\n",
       "/vygPSUlJfj4449tHjMYDGjYsGGV9KOuqqpAyBBIRNWNgZCIAABBQUFo2bKl/PLz85PD4NmzZ7Fl\\\n",
       "yxaEhYU5bMPX1xfdunXD1q1b5TKTyYStW7fKX6a7desGHx8fszpnzpzB5cuXHX7h1mq1CA4ONnvR\\\n",
       "jWfounTpgtzcXBQWFlZ3dxyOWrm6qqjRaJR/njFjhtkxR6NfHTp0cOk6ztq/f7/dwJuSkgJJkvDy\\\n",
       "yy975dr2TJs2DX5+flCpVGbhxNfXt0r7URdVRSC094sNIqKqxEBIRDYZDAbcf//9OHToEFasWAGj\\\n",
       "0Yj09HSkp6ebPcM2YMAAfPDBB/L76dOn49NPP8WXX36J06dP44knnkBBQQEmTJgA4MbqpRMnTsT0\\\n",
       "6dOxfft2HD58GBMmTEBcXBwXlLEhMjISLVq0wL///e8KN0j38/ND7969q6hn9j333HNWZf7+/nJo\\\n",
       "GTFihNmxVatW2WwnNDQURqMR58+fx6JFi8yOzZ8/3+71//zzT6uyuLg45ObmoqioCIsXL3bmNmzS\\\n",
       "6XRYv369/P7ixYtQqVQuP2NYWaNGjcKRI0fQokULFBcX15otPOq65ORkREdHy6+RI0c6rP/3338D\\\n",
       "cP2XJUREnsRASEQ2paSkYN26dUhOTkbnzp3RuHFj+bV371653rlz58xGax544AG89dZbmDNnDjp3\\\n",
       "7oxjx45h48aNZgvNLF68GPfccw+GDx+O2267DRERES5v/q0UaWlpciDy8fGpcGR03bp1VdQz+958\\\n",
       "802z9wUFBSgqKpLff//995AkCTExMbj55pvx0EMP2WwnPz8fGo0GLVq0sDr2888/272+JEkwmUz4\\\n",
       "+OOPcf78eQghsHfvXgQHB0On02HatGkQQliFTGfdc8898qhQbGys21/mVSoV0tPTYTAY8Pjjjzt1\\\n",
       "zsSJEyGEwMqVK9GlSxeb4Zc8w90RwuTkZPmVmJjosH0AuPvuu71+L0REjnDbCSKyKSYmxqkvuhcv\\\n",
       "XrQqmzp1KqZOnWr3HJ1Ohw8//BAffvhhZbqoSPn5+ViwYAFefPFFm8er4vm1ESNG4LXXXkO/fv2c\\\n",
       "2oPQ3lTWS5cuud0Hg8Hg8LgkSZg8ebLDOs8++yx0Oh2efPJJt/vhLpVKZTYl9qOPPsL169fxzTff\\\n",
       "2D2nd+/e8kI75dtRqVQ1YmuMusbdbSfKjxbbmwZfvn75EWciourAEUIiolpmzpw5do9lZ2d79dom\\\n",
       "kwmrV69G8+bNkZSU5NQU1fr163u8H/a2qnDVE0884ZF2XJWWlmZVtnz5cofn7Nmzx2Z52XRs8ix3\\\n",
       "RgijoqKQlJQkv5xZedcyeEqShM8++8xr90VEZImBkIioDrl8+bLX2h41apTViIkz++1Z7iHoCXfe\\\n",
       "eafH2qqOvfoaNWpkVebu5/T8889XtjtkgzcXlYmNjXV4fOLEiZXpOhGRSzhllIioBnP1+bQ+ffpU\\\n",
       "6QIVKpXKqevV5EUzasLqrGXc+ZyaN29eoz/f2srdKaPOOH/+vN02+GdJRFWNI4REREREREQKxRFC\\\n",
       "IiIiIgveHCG0hSODRFRdGAiJiIiILFR1ICQiqi4MhEREREQWGAiJSCkYCImIiIgsMBASkVIwEBIR\\\n",
       "ERFZYCAkIqXgKqNEREREREQKxRFCIiIiIgscISQipWAgJCIiIrLAQEhESsFASERERGSBgZCIlIKB\\\n",
       "kIiIiMgCAyERKQUDIREREZENDHpEpARcZZSIiIiIiEihOEJIREREZIFTRolIKRgIiYiIiCwwEBKR\\\n",
       "UjAQEhEREVlgICQipWAgJCIiIrLAQEhESsFASERERGSBgZCIlIKBkIiIiMgCAyERKQW3nSAiIiIi\\\n",
       "IlIojhASERERWeAIIREpBQMhERERkQUGQiJSCgZCIiIiIgsMhESkFAyERERERBYYCIlIKRgIiYiI\\\n",
       "iCwwEBKRUnCVUSIiIiIiIoXiCCERERGRBY4QEpFSMBASERERWWAgJCKlYCAkIiIissBASERKwUBI\\\n",
       "REREZIGBkIiUgoGQiIiIyAIDIREpBVcZJSIiIiIiUiiOEBIRERFZ4AghESkFAyERERGRDQx6RKQE\\\n",
       "DIREREREFjhCSERKwUBIREREZIGBkIiUgoGQiIiIyAIDIREpBQMhERERkQUGQiJSCm47QURERERE\\\n",
       "pFAcISQiIiKywBFCIlIKBkIiIiIiCwyERKQUDIREREREFhgIiUgpGAiJiIiILDAQEpFSMBASERER\\\n",
       "WWAgJCKl4CqjRERERERECsURQiIiIiIL3hwhtFdfCOFSO0REnsARQiIiIiILZYHQ2ZcndOrUySPt\\\n",
       "EBG5giOERERERBa8OUJoORLo5+eH4uJiHD9+3KV2iIg8gYGQiOq8efPmVXcXiKiWcScQJicnIzo6\\\n",
       "Wi6Pi4vD6tWrKzy/uLjYvU4SEXkAAyERERGRBXdHCJOTk+WfExMTKzx306ZN8s98hpCIqgMDIRER\\\n",
       "EZGHREVFyT/HxcVVWD8hIcGb3SEiqhADIREREZEFd0YIo6KikJSU5NI1ynB0kIiqC1cZJSKnPP74\\\n",
       "45AkCe+8806FdT/88EPExMRAp9OhV69eOHjwoNnx4uJiTJkyBWFhYQgMDMTw4cORkZHhpZ4TEbnO\\\n",
       "m6uMnjt3jmGQiGoMBkIiqtBPP/2E/fv3IzIyssK6q1atwvTp0zF37lwcOXIEN998MxISEpCZmSnX\\\n",
       "efbZZ/Hzzz8jMTERO3fuRGpqKu677z5v3gIRkUu8GQhbtmwp/6xWq6HRaKDRaNC/f38P3wURUcUY\\\n",
       "CInIoZSUFDz11FNYsWIFfHx8Kqy/aNEiTJo0CRMmTEC7du2wdOlS+Pv74/PPPwcA5Obm4rPPPsOi\\\n",
       "RYtwxx13oFu3bvjiiy+wd+9e7N+/39u3Q0TktKrYg9BoNMqvnTt3eqjnRETOYyAkIrtMJhPGjBmD\\\n",
       "GTNmoH379hXW1+v1OHz4MOLj4+UylUqF+Ph47Nu3DwBw+PBhGAwGszpt2rRB06ZN5TpERNXNmyOE\\\n",
       "Qgi7LyKiqsZFZYjIrtdffx0ajQZPP/20U/WvXLkCo9GI8PBws/Lw8HD89ddfAID09HT4+vqiXr16\\\n",
       "VnXS09Pttl1SUoKSkhL5fV5enpN3QURERET2cISQiAAAK1asQGBgoPzauXMn3n33XSxfvrzSU6I8\\\n",
       "YeHChQgJCZFf5Td/JiLyNG+OEBIR1SQMhEQEABgyZAiOHTsmv/bu3YvMzEw0bdpUXvDg0qVL+Pe/\\\n",
       "/42YmBibbTRo0ABqtdpqxdCMjAxEREQAACIiIqDX65GTk2O3ji2zZs1Cbm6u/HJlaXciIlcxEBKR\\\n",
       "UnDKKBEBAIKCghAUFCS/nzx5MgYPHmxWJyEhAWPGjMGECRNstuHr64tu3bph69atGDZsGIAbzyFu\\\n",
       "3boVU6dOBQB069YNPj4+2Lp1K4YPHw4AOHPmDC5fvuxwE2etVgutVluZWyQicpo7+xASEdVGDIRE\\\n",
       "ZFNYWBjCwsLMynx8fBAREYGbbrpJLhswYADuvfdeOfBNnz4d48aNQ/fu3dGzZ0+88847KCgokENk\\\n",
       "SEgIJk6ciOnTp6N+/foIDg7GU089hbi4ONxyyy1Vd4NERA4wEBKRUjAQElGlnDt3DleuXJHfP/DA\\\n",
       "A8jKysKcOXOQnp6Ozp07Y+PGjWYLzSxevBgqlQrDhw9HSUkJEhISsGTJkuroPhGRTQyERKQUkuAa\\\n",
       "x0RUC+Xl5WHRokX8IkZENr300kvIzc1FcHCwS+dFR0cjOTkZqampTp+bl5eHyMhIREVF8flmIqp1\\\n",
       "uKgMERERERGRQnHKKBEREZEFThklIqVgICQiIiKywEBIRErBQEhERERkgYGQiJSCgZCIiIjIAgMh\\\n",
       "ESkFAyERERGRBQZCIlIKrjJKRERERESkUBwhJCIiIrLAEUIiUgoGQiIiIiILDIREpBQMhEREREQW\\\n",
       "GAiJSCkYCImIiIgsMBASkVIwEBIRERFZYCAkIqXgKqNEREREREQKxRFCIqqVhBDV3QUiquEq89+J\\\n",
       "/Px8p0f+8vPz3b4OEVF1YyAkolopPz8f8+bNq+5uEFENlp+fj5CQEJfO6dSpE5KTkxEdHe3y9Tp1\\\n",
       "6uTyOURE1U0S/DU7EdVCJpMJqampCAoKUvTzO3l5eYiOjkZSUhKCg4OruzvVhp/DDfwcbhBCID8/\\\n",
       "H5GRkVCpXH86ZtCgQfjzzz9dOqdTp05Yv369y9ciIqpuDIRERLVYXl4eQkJCkJubq+gAwM/hBn4O\\\n",
       "RETkKi4qQ0REREREpFAMhERERERERArFQEhEVItptVrMnTsXWq22urtSrfg53MDPgYiIXMVnCImI\\\n",
       "iIiIiBSKI4REREREREQKxUBIRERERESkUAyERERERERECsVASERUgxgMBsycORMdO3ZEQEAAIiMj\\\n",
       "MXbsWKSmplZ47ocffoiYmBjodDr06tULBw8eNDteXFyMKVOmICwsDIGBgRg+fDgyMjK8dSuVUtG9\\\n",
       "WEpMTESbNm2g0+nQsWNHbNiwwey4EAJz5sxB48aN4efnh/j4eJw9e9abt1BpCxcuRI8ePRAUFIRG\\\n",
       "jRph2LBhOHPmTIXn1cXPgoiIvIeBkIioBiksLMSRI0fw4osv4siRI/jxxx9x5swZDBkyxOF5q1at\\\n",
       "wvTp0zF37lwcOXIEN998MxISEpCZmSnXefbZZ/Hzzz8jMTERO3fuRGpqKu677z5v35LLnLmX8vbu\\\n",
       "3YtRo0Zh4sSJOHr0KIYNG4Zhw4bhxIkTcp033ngD7733HpYuXYoDBw4gICAACQkJKC4urqrbctnO\\\n",
       "nTsxZcoU7N+/H5s3b4bBYMDAgQNRUFBg95y6+lkQEZEXCSIiqtEOHjwoAIhLly7ZrdOzZ08xZcoU\\\n",
       "+b3RaBSRkZFi4cKFQgghcnJyhI+Pj0hMTJTrnD59WgAQ+/bt817n3VDRvVgaOXKkGDRokFlZr169\\\n",
       "xGOPPSaEEMJkMomIiAjx5ptvysdzcnKEVqsV3377rRfuwDsyMzMFALFz5067dZTyWRARkedwhJCI\\\n",
       "qIbLzc2FJEmoV6+ezeN6vR6HDx9GfHy8XKZSqRAfH499+/YBAA4fPgyDwWBWp02bNmjatKlcpyZw\\\n",
       "5l4s7du3z6w+ACQkJMj1L1y4gPT0dLM6ISEh6NWrV42694rk5uYCAOrXr2+3jlI+CyIi8hwGQiKi\\\n",
       "Gqy4uBgzZ87EqFGjEBwcbLPOlStXYDQaER4eblYeHh6O9PR0AEB6ejp8fX2tQmX5OjWBM/diKT09\\\n",
       "vcJ7Lytzts2axmQyYdq0aejTpw86dOhgt54SPgsiIvIsBkIiomq0YsUKBAYGyq/ffvtNPmYwGDBy\\\n",
       "5EgIIfDRRx9VYy+puk2ZMgUnTpzAd999V91dISKiOkZT3R0gIlKyIUOGoFevXvL7Jk2aAPhfGLx0\\\n",
       "6RK2bdtmd3QQABo0aAC1Wm21YmhGRgYiIiIAABEREdDr9cjJyTEbJSxfpyZw5l4sRUREVHjvZWWN\\\n",
       "Gzc2q9O5c2cP9t47pk6dil9++QW7du1CVFSUw7p1/bMgIiLP4wghEVE1CgoKQsuWLeWXn5+fHAbP\\\n",
       "nj2LLVu2ICwszGEbvr6+6NatG7Zu3SqXmUwmbN26FXFxcQCAbt26wcfHx6zOmTNncPnyZblOTeDM\\\n",
       "vViKi4szqw8AmzdvluvHxsYiIiLCrE5eXh4OHDhQo+7dkhACU6dOxU8//YRt27YhNja2wnPq6mdB\\\n",
       "REReVN2r2hAR0f/o9XoxZMgQERUVJY4dOybS0tLkV0lJiVzvjjvuEO+//778/rvvvhNarVYsX75c\\\n",
       "nDp1SkyePFnUq1dPpKeny3Uef/xx0bRpU7Ft2zZx6NAhERcXJ+Li4qr0/pxR0b2MGTNG/N///Z9c\\\n",
       "f8+ePUKj0Yi33npLnD59WsydO1f4+PiI48ePy3Vee+01Ua9ePbF27Vrx559/iqFDh4rY2FhRVFRU\\\n",
       "5ffnrCeeeEKEhISIHTt2mP09KCwslOso5bMgIiLvYSAkIqpBLly4IADYfG3fvl2u16xZMzF37lyz\\\n",
       "c99//33RtGlT4evrK3r27Cn2799vdryoqEg8+eSTIjQ0VPj7+4t7771XpKWlVcFduc7RvfTr10+M\\\n",
       "GzfOrP7q1atF69atha+vr2jfvr1Yv3692XGTySRefPFFER4eLrRarRgwYIA4c+ZMVdyK2+z9Pfji\\\n",
       "iy/kOkr5LIiIyHskIYSonrFJIiIiIiIiqk58hpCIiIiIiEihGAiJiIiIiIgUioGQiIiIiIhIoRgI\\\n",
       "iYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEihGAiJiIiIiIgUioGQiIhqhc8++wwD\\\n",
       "Bw70+nU2btyIzp07w2Qyef1aRERE1Y2BkIiIarzi4mK8+OKLmDt3rtevddddd8HHxwcrVqzw+rWI\\\n",
       "iIiqGwMhERHVeN9//z2Cg4PRp0+fKrne+PHj8d5771XJtYiIiKoTAyEREVWZrKwsRERE4NVXX5XL\\\n",
       "9u7dC19fX2zdutXued999x0GDx5sVta/f39MmzbNrGzYsGEYP368/D4mJgYvv/wyxo4di8DAQDRr\\\n",
       "1gzr1q1DVlYWhg4disDAQHTq1AmHDh0ya2fw4ME4dOgQzp075/7NEhER1QIMhEREVGUaNmyIzz//\\\n",
       "HC+99BIOHTqE/Px8jBkzBlOnTsWAAQPsnrd79250797drWsuXrwYffr0wdGjRzFo0CCMGTMGY8eO\\\n",
       "xcMPP4wjR46gRYsWGDt2LIQQ8jlNmzZFeHg4fvvtN7euSUREVFswEBIRUZW6++67MWnSJIwePRqP\\\n",
       "P/44AgICsHDhQrv1c3JykJubi8jISLev99hjj6FVq1aYM2cO8vLy0KNHD4wYMQKtW7fGzJkzcfr0\\\n",
       "aWRkZJidFxkZiUuXLrl1TSIiotqCgZCIiKrcW2+9hdLSUiQmJmLFihXQarV26xYVFQEAdDqdW9fq\\\n",
       "1KmT/HN4eDgAoGPHjlZlmZmZZuf5+fmhsLDQrWsSERHVFgyERERU5c6dO4fU1FSYTCZcvHjRYd2w\\\n",
       "sDBIkoTs7OwK2zUajVZlPj4+8s+SJNkts9xm4tq1a2jYsGGF1yQiIqrNGAiJiKhK6fV6PPzww3jg\\\n",
       "gQewYMECPProo1ajc+X5+vqiXbt2OHXqlNUxy2me58+f90gfi4uLce7cOXTp0sUj7REREdVUDIRE\\\n",
       "RFSlXnjhBeTm5uK9997DzJkz0bp1azzyyCMOz0lISMDu3butyteuXYsff/wR586dwyuvvIJTp07h\\\n",
       "0qVLSElJqVQf9+/fD61Wi7i4uEq1Q0REVNMxEBIRUZXZsWMH3nnnHXz99dcIDg6GSqXC119/jd9+\\\n",
       "+w0fffSR3fMmTpyIDRs2IDc316x80KBBeOONN9CuXTvs2rULS5YswcGDB/H1119Xqp/ffvstRo8e\\\n",
       "DX9//0q1Q0REVNNJovw620RERDXUiBEj0LVrV8yaNQvAjX0IO3fujHfeecej17ly5QpuuukmHDp0\\\n",
       "CLGxsR5tm4iIqKbhCCEREdUKb775JgIDA71+nYsXL2LJkiUMg0REpAgcISQiolrJWyOERERESsJA\\\n",
       "SEREREREpFCcMkpERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAM\\\n",
       "hERERERERArFQEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAM\\\n",
       "hERERERERArFQEhERERERKRQDIREREREREQK9f8AOM6kygMWAtgAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[34] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAcSBJREFUeJzt3Xl4U8XiPvD3JG3SjW5QWlqWFiggArJvgiD0WhQVBNGLbCKC\\\n",
       "IqjIvQoosrmgqIhcRL5uIAiIiIALogjIvkgBL7sspUBLW1q60TVN5vcHv57brE3SpGl73s/z5LGZ\\\n",
       "M2fOnACSl5kzIwkhBIiIiIiIiEhxVJ7uABEREREREXkGAyEREREREZFCMRASEREREREpFAMhERER\\\n",
       "ERGRQjEQEhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERER\\\n",
       "ERGRQjEQEhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEZFT/vjjD0iShD/+\\\n",
       "+MPTXSEXO3z4MDQaDZKSkqr82pmZmfD398eWLVuq/NpERErEQEhERDYtXboUK1as8HQ3nLJmzRos\\\n",
       "WrTI090AABgMBixYsAAxMTHw8fFBu3btsHbtWrvPz87OxoQJExAWFgZ/f3/ce++9OHr0qFm9devW\\\n",
       "YeTIkYiNjYUkSejbt6/DfX3ttdcwfPhwNGnSxOFzK6tu3bp4+umn8frrr1f5tYmIlEgSQghPd4KI\\\n",
       "iKqvNm3aoF69emYjgQaDASUlJdBoNFCpque/Lz744IM4efIkLl++7OmuYMaMGXjnnXcwfvx4dOnS\\\n",
       "BZs3b8bPP/+MtWvX4p///KfNcw0GA3r37o2//voLL7/8MurVq4elS5fi6tWrSEhIQGxsrFy3b9++\\\n",
       "SEhIQJcuXXD8+HG0a9fOoVHc48ePo0OHDti/fz969Ojh7O1WypkzZ9C6dWts374d/fr180gfiIiU\\\n",
       "goGQiMgO+fn58Pf393Q3PMJaIKwJqksgTE5ORkxMDCZMmIAlS5YAAIQQ6NOnDxITE3H58mWo1Wqr\\\n",
       "53/77bd4/PHHsX79ejz66KMAgBs3bqBFixa4//77sWbNGrnu1atXERUVBZVK5dSv3YsvvohNmzbh\\\n",
       "8uXLkCTJuRt2gbZt26JDhw5YuXKlx/pARKQE1fOfdImI3Cg5ORnjxo1DZGQktFotYmJiMHHiRJSU\\\n",
       "lAAAVqxYAUmSsGvXLjz33HOoX78+GjZsKJ+/dOlS3HnnndBqtYiMjMSkSZOQnZ1tdI3z589j6NCh\\\n",
       "iIiIgI+PDxo2bIh//vOfyMnJkets27YNvXr1QnBwMAICAtCyZUu8+uqrFfbfnvOKi4sxe/ZsNG/e\\\n",
       "HFqtFo0aNcIrr7yC4uJis/a+/vprdO3aFX5+fggJCcE999yD3377DQAQHR2NU6dOYdeuXZAkyWgK\\\n",
       "orVnCNevX49OnTrB19cX9erVw8iRI5GcnGxU58knn0RAQACSk5MxePBgBAQEICwsDP/+97+h1+sr\\\n",
       "/Aw2b96MgQMHyr+GzZo1wxtvvGF0bt++ffHzzz8jKSlJ7nt0dLTVNp988km5nulrzpw5Ffapov7q\\\n",
       "dDo899xzcpkkSZg4cSKuXbuGAwcO2Dz/u+++Q3h4OIYMGSKXhYWF4bHHHsPmzZuNfl0bNWpUqRHb\\\n",
       "TZs2oV+/fmZh0NrnEB0djSeffFJ+X/bnZ+/evXjhhRcQFhaG4OBgPPPMMygpKUF2djZGjx6NkJAQ\\\n",
       "hISE4JVXXoGlf5v+xz/+gR9//NHiMSIich0vT3eAiKgqpaSkoGvXrvLzWK1atUJycjK+++47FBQU\\\n",
       "QKPRyHWfe+45hIWFYdasWcjPzwcAzJkzB3PnzkVcXBwmTpyIc+fO4ZNPPsGff/6Jffv2wdvbGyUl\\\n",
       "JYiPj0dxcTGef/55REREIDk5GT/99BOys7MRFBSEU6dO4cEHH0S7du0wb948aLVaXLhwAfv27bPZ\\\n",
       "f3vOMxgMePjhh7F3715MmDABd9xxB06cOIEPP/wQf//9NzZt2iTXnTt3LubMmYOePXti3rx50Gg0\\\n",
       "OHToEHbs2IH77rsPixYtwvPPP4+AgAC89tprAIDw8HCr/VuxYgXGjh2LLl26YP78+UhLS8NHH32E\\\n",
       "ffv24dixYwgODpbr6vV6xMfHo1u3bnj//ffx+++/44MPPkCzZs0wceJEm5/DihUrEBAQgKlTpyIg\\\n",
       "IAA7duzArFmzkJubi/feew/A7efgcnJycO3aNXz44YcAgICAAKttPvPMM4iLizMq27p1K1avXo36\\\n",
       "9evLZRkZGTb7VqZOnTrQarUAgGPHjsHf3x933HGHUZ2uXbvKx3v16mW1rWPHjqFjx45mQa9r1674\\\n",
       "9NNP8ffff6Nt27Z29cuW5ORkXLlyBR07dqx0W2W/9+fOnYuDBw/i008/RXBwMPbv34/GjRvj7bff\\\n",
       "xpYtW/Dee++hTZs2GD16tNH5nTp1wocffohTp06hTZs2le4PERFZIYiIFGT06NFCpVKJP//80+yY\\\n",
       "wWAQQgixfPlyAUD06tVLlJaWysfT09OFRqMR9913n9Dr9XL5kiVLBADx5ZdfCiGEOHbsmAAg1q9f\\\n",
       "b7UfH374oQAgbty44VD/7Tlv1apVQqVSiT179hiVL1u2TAAQ+/btE0IIcf78eaFSqcQjjzxidD9C\\\n",
       "/O+zEEKIO++8U/Tp08fsOjt37hQAxM6dO4UQQpSUlIj69euLNm3aiMLCQrneTz/9JACIWbNmyWVj\\\n",
       "xowRAMS8efOM2uzQoYPo1KmT7Q9BCFFQUGBW9swzzwg/Pz9RVFQklw0cOFA0adKkwvYsOX/+vAgK\\\n",
       "ChL/+Mc/jH4fALDrtXz5cqN+NG3a1Owa+fn5AoCYPn26zb74+/uLp556yqz8559/FgDE1q1bLZ5n\\\n",
       "7dfOmt9//10AED/++KPZMQBi9uzZZuVNmjQRY8aMkd+X/fmJj483+n3Uo0cPIUmSePbZZ+Wy0tJS\\\n",
       "0bBhQ4t93L9/vwAg1q1bZ3f/iYjIcZwySkSKYTAYsGnTJjz00EPo3Lmz2XHTKXLjx483eq7r999/\\\n",
       "R0lJCaZMmWI0UjN+/HgEBgbi559/BgAEBQUBAH799VcUFBRY7EvZSNnmzZthMBjsvgd7zlu/fj3u\\\n",
       "uOMOtGrVChkZGfKrbHGOnTt3Arg9NdBgMGDWrFlmI0/OPDt25MgRpKen47nnnoOPj49cPnDgQLRq\\\n",
       "1Ur+fMp79tlnjd737t0bly5dqvBavr6+8s95eXnIyMhA7969UVBQgLNnzzrcd1P5+fl45JFHEBIS\\\n",
       "grVr1xr9Pti2bZtdr/j4ePmcwsJCebSwvLLPqbCw0GZ/Knu+vTIzMwEAISEhlW5r3LhxRr+PunXr\\\n",
       "BiEExo0bJ5ep1Wp07tzZ4q95WR/sHZElIiLncMooESnGjRs3kJuba/f0s5iYGKP3ZXuytWzZ0qhc\\\n",
       "o9GgadOm8vGYmBhMnToVCxcuxOrVq9G7d288/PDDGDlypBwWH3/8cXz++ed4+umnMX36dPTv3x9D\\\n",
       "hgzBo48+avP5L3vOO3/+PM6cOYOwsDCLbaSnpwMALl68CJVKhdatW9v1eVTE2ucDAK1atcLevXuN\\\n",
       "ynx8fMz6GBISgqysrAqvderUKcycORM7duxAbm6u0bHyz2k6a/z48bh48SL279+PunXrGh0znVZq\\\n",
       "D19fX4vPbxYVFcnH3Xm+o4QLnttr3Lix0fuy3/uNGjUyK7f0a17WB08ubENEpAQMhEREVlTmS/YH\\\n",
       "H3yAJ598Eps3b8Zvv/2GF154AfPnz8fBgwfRsGFD+Pr6Yvfu3di5cyd+/vlnbN26FevWrUO/fv3w\\\n",
       "22+/WV1x0p7zDAYD2rZti4ULF1psw/QLuafYWlXTluzsbPTp0weBgYGYN28emjVrBh8fHxw9ehTT\\\n",
       "pk1zaMTVko8++ghr167F119/jfbt25sdT01NtaudoKAg+fdQgwYNsHPnTgghjALO9evXAQCRkZE2\\\n",
       "22rQoIFctzx7z7dXWfi1J5SXsRYerf36Wiq31EZZH+rVq2d3X4iIyHGcMkpEihEWFobAwECcPHnS\\\n",
       "qfPLNuk+d+6cUXlJSQkSExPNNvFu27YtZs6cid27d2PPnj1ITk7GsmXL5OMqlQr9+/fHwoULcfr0\\\n",
       "abz11lvYsWOHPKXTmorOa9asGW7evIn+/fsjLi7O7FU2gtesWTMYDAacPn3a5vXsHaGx9vmUlblq\\\n",
       "k/M//vgDmZmZWLFiBV588UU8+OCDiIuLszjN0dHRpT179uDf//43pkyZghEjRlis06BBA7te69at\\\n",
       "k89p3749CgoKcObMGaO2Dh06JB+3pX379jh69KhZ2D106BD8/PzQokULh+7TmlatWgEAEhMTLR7P\\\n",
       "y8szKysbcXa1sj6YLsRDRESuxUBIRIqhUqkwePBg/Pjjjzhy5IjZ8YqmycXFxUGj0WDx4sVGdb/4\\\n",
       "4gvk5ORg4MCBAIDc3FyUlpYandu2bVuoVCp52t/NmzfN2i8LBZamBpax57zHHnsMycnJ+Oyzz8zq\\\n",
       "FhYWyiumDh48GCqVCvPmzTMLGuXvz9/f32xbDUs6d+6M+vXrY9myZUb38Msvv+DMmTPy51NZZSNM\\\n",
       "5ftYUlKCpUuXmtX19/e3ewrp9evX8dhjj6FXr17ySqWWOPMM4aBBg+Dt7W3URyEEli1bhqioKPTs\\\n",
       "2dOoH2fPnoVOp5PLHn30UaSlpeH777+XyzIyMrB+/Xo89NBDFp8vdEZUVBQaNWpk8c8HALMtRn75\\\n",
       "5RcUFRW5ZWuIhIQEBAUF4c4773R520RE9D+cMkpEivL222/jt99+Q58+feQtGa5fv47169dj7969\\\n",
       "RtsimAoLC8OMGTMwd+5cDBgwAA8//DDOnTuHpUuXokuXLhg5ciQAYMeOHZg8eTKGDRuGFi1aoLS0\\\n",
       "FKtWrYJarcbQoUMBAPPmzcPu3bsxcOBANGnSBOnp6Vi6dCkaNmxoc/sBe84bNWoUvv32Wzz77LPY\\\n",
       "uXMn7r77buj1epw9exbffvstfv31V3Tu3BnNmzfHa6+9hjfeeAO9e/fGkCFDoNVq8eeffyIyMhLz\\\n",
       "588HcHv5/08++QRvvvkmmjdvjvr168sL1JTn7e2Nd999F2PHjkWfPn0wfPhweduJ6OhovPTSS87+\\\n",
       "shnp2bMnQkJCMGbMGLzwwguQJAmrVq2yGEo6deqEdevWYerUqejSpQsCAgLw0EMPWWz3hRdewI0b\\\n",
       "N/DKK6/gm2++MTrWrl07tGvXDoBzzxA2bNgQU6ZMwXvvvQedTocuXbpg06ZN2LNnD1avXm00jXLG\\\n",
       "jBn46quvkJiYKO+b+Oijj6J79+4YO3YsTp8+jXr16mHp0qXQ6/WYO3eu0bV2796N3bt3A7j93Gx+\\\n",
       "fj7efPNNAMA999yDe+65x2ZfBw0ahI0bN5pNbwWAM2fO4IEHHsDDDz+MlJQUfPTRRwgKCsL+/fux\\\n",
       "du1aDB8+3OHPxppt27bhoYce4jOERETu5omlTYmIPCkpKUmMHj1ahIWFCa1WK5o2bSomTZokiouL\\\n",
       "hRD/Wzbf0tYUQtzeZqJVq1bC29tbhIeHi4kTJ4qsrCz5+KVLl8RTTz0lmjVrJnx8fERoaKi49957\\\n",
       "xe+//y7X2b59uxg0aJCIjIwUGo1GREZGiuHDh4u///7bZt/tPa+kpES8++674s477xRarVaEhISI\\\n",
       "Tp06iblz54qcnByjul9++aXo0KGDXK9Pnz5i27Zt8vHU1FQxcOBAUadOHQFA3iLAdNuJMuvWrZPb\\\n",
       "Cw0NFSNGjBDXrl0zqjNmzBjh7+9vdn+zZ88W9vzVtG/fPtG9e3fh6+srIiMjxSuvvCJ+/fVXs/7c\\\n",
       "unVLPPHEEyI4OFgAsLkFRZ8+faxuIWFpuwVH6fV68fbbb4smTZoIjUYj7rzzTvH111+b1SvbkiMx\\\n",
       "MdGo/ObNm2LcuHGibt26ws/PT/Tp08fi79Gyz9DZ+zh69KgAYLZtCQAxdepUMWzYMOHr6ysaNGgg\\\n",
       "lixZIpYtWyb8/PzE008/LYSw/uenrF+mW6ZY+r1w5swZAcDozwwREbmHJIQb5nkQERFRjdW/f39E\\\n",
       "RkZi1apVcpkkSZg9ezbmzJnj9utPmTIFu3fvRkJCAkcIiYjcjM8QEhERkZG3334b69atk7cSqUqZ\\\n",
       "mZn4/PPP8eabbzIMEhFVAT5DSEREREa6deuGkpISj1y7bt26uHXrlkeuTUSkRBwhJCIiIiIiUiiO\\\n",
       "EBIREVGFuOQAEVHtxBFCIiIiIiIihWIgJCIiIiIiUihOGSWiGslgMCAlJQV16tThSoREZEQIgby8\\\n",
       "PERGRkKlcvzfvgcMGIATJ044dE7btm2xdetWh69FRORp3IeQiGqka9eu4fPPP/d0N4iompo7dy6u\\\n",
       "Xr2Khg0bOnTegAED8Ouvvzp1zfj4eIZCIqpxOEJIRDVSnTp1AICjg0RkVdn/Jxzh6Migs+da+n9X\\\n",
       "2b/RT506FR9++KHF8/jv+ETkagyERFQjMQgSUUUq+/8Je893dUhbvXq1S9sjIrKFgZCIiIjIhCRJ\\\n",
       "DgVKR0Nh+fqm10lLS7PYn7L/cpSQiFyJgZCIiIjIhDOBMCUlBVFRUXJZ9+7dsWHDBpf2KzIy0qXt\\\n",
       "ERExEBIRERGZcDQQlklJSZF//v77713SlwEDBsg/Jycnu6RNIqIyDIREREREJpwNhOVH8Lp3717p\\\n",
       "fkydOlVe9ZSjg0TkDgyERERERCacCYSRkZEuHcErv9qon58fRweJyC0c362ViIiIiNyqfBjUarXI\\\n",
       "z8/3cI+IqLZiICQiIiIyUTZCaO/LUbGxsWbnlr033YdQp9NBrVZDrVbjqaeecsn9ERGVYSAkIiIi\\\n",
       "MuHuQHjhwgWrx0w3pTcYDPJr+fLlDl+LiMgWPkNIREREZMLZoGcv7iVIRNUFAyERERGRCXcHQiKi\\\n",
       "6oKBkIiIiMgEAyERKQWfISQiIiIiIlIojhASERERmeAIIREpBUcIichu77zzDiRJwpQpU2zWW79+\\\n",
       "PVq1agUfHx+0bdsWW7ZsMTouhMCsWbPQoEED+Pr6Ii4uDufPn3djz4mIHOPuVUaJiKoLBkIissuf\\\n",
       "f/6J//u//0O7du1s1tu/fz+GDx+OcePG4dixYxg8eDAGDx6MkydPynUWLFiAxYsXY9myZTh06BD8\\\n",
       "/f0RHx+PoqIid98GEZFdGAiJSCkYCImoQrdu3cKIESPw2WefISQkxGbdjz76CAMGDMDLL7+MO+64\\\n",
       "A2+88QY6duyIJUuWALg9Orho0SLMnDkTgwYNQrt27bBy5UqkpKRg06ZNVXA3REQVYyAkIqVgICSi\\\n",
       "Ck2aNAkDBw5EXFxchXUPHDhgVi8+Ph4HDhwAACQmJiI1NdWoTlBQELp16ybXsaS4uBi5ublGLyIi\\\n",
       "d2EgJCKlYCAkIpu++eYbHD16FPPnz7erfmpqKsLDw43KwsPDkZqaKh8vK7NWx5L58+cjKChIfjVq\\\n",
       "1MiR2yAiIiIiCxgIiciqq1ev4sUXX8Tq1avh4+Pj0b7MmDEDOTk58uvq1ase7Q8R1W4cISQipeC2\\\n",
       "E0RkVUJCAtLT09GxY0e5TK/XY/fu3ViyZAmKi4uhVquNzomIiEBaWppRWVpaGiIiIuTjZWUNGjQw\\\n",
       "qtO+fXurfdFqtdBqtZW9JSIiuzDoEZFScISQiKzq378/Tpw4gePHj8uvzp07Y8SIETh+/LhZGASA\\\n",
       "Hj16YPv27UZl27ZtQ48ePQAAMTExiIiIMKqTm5uLQ4cOyXWIiKoDjg4SkRJwhJCIrKpTpw7atGlj\\\n",
       "VObv74+6devK5aNHj0ZUVJT8jOGLL76IPn364IMPPsDAgQPxzTff4MiRI/j0008BQN7H8M0330Rs\\\n",
       "bCxiYmLw+uuvIzIyEoMHD67S+yMissaRsMdQSEQ1GQMhEVXKlStXoFL9b7JBz549sWbNGsycOROv\\\n",
       "vvoqYmNjsWnTJqNg+corryA/Px8TJkxAdnY2evXqha1bt3r8OUUiojIMhESkFJIQQni6E0REjsrN\\\n",
       "zcXChQv5RYyILJozZw5ycnIQGBjo0HlRUVFISUlBvXr1jP6xyxaDwYCMjAxERkYiOTnZme4SEXkM\\\n",
       "nyEkIiIiIiJSKE4ZJSIiIjLBKaNEpBQMhEREREQmGAiJSCkYCImo1ps9e7anu0BELjR37ly3X4OB\\\n",
       "kIiUgoGQiIiIyAQDIREpBQMhERERkQkGQiJSCq4ySkREREREpFAcISQiIiIywRFCIlIKBkIiIiIi\\\n",
       "EwyERKQUDIREREREJhgIiUgpGAiJiIiITDAQEpFSMBASERERmWAgJCKl4CqjRERERERECsURQiIi\\\n",
       "IiITHCEkIqVgICQiIiIywUBIRErBQEhERERkgoGQiJSCgZCIiIjIBAMhESkFAyERERGRBQx6RKQE\\\n",
       "XGWUiIiIiIhIoThCSERERGSCU0aJSCkYCImIiIhMMBASkVIwEBIRERGZYCAkIqVgICQiIiIywUBI\\\n",
       "RErBQEhERERkgoGQiJSCgZCIiIjIBAMhESkFt50gIiIiIiJSKI4QEhEREZngCCERKQUDIREREZEJ\\\n",
       "BkIiUgpOGSUiIiIyURYI7X25ov3yLly44JLrEBFVhIGQiIiIyIS7A2FFYmNjLZYPGDDA5dciImVj\\\n",
       "ICQiIiIy4e5AKISQX6YuXLhgVq9+/foAgF9//dX5myIisoCBkIiIiKgasTQ6mJaW5oGeEJEScFEZ\\\n",
       "IiIiIhPOLCqTkpKCqKgoubx79+7YsGFDpfpARORuDIREREREJpxdZTQlJUX++fvvv3d5v4iIXI2B\\\n",
       "kIiIiMiEs4EwMjJS/rl79+6V6oOl5wuJiFyNgZCIiIjIhDOBMDIyEsnJyZW+9vnz582eIyw/FZWI\\\n",
       "yJUYCImIiIhMuHtj+tjYWKPVRMu3U35k0LTt+Ph4h69FRGQLVxklIiIiqmKmYdDU+fPnLZZv3brV\\\n",
       "Hd0hIgXjCCERERGRCXePEFb0fGDz5s35DCERVQkGQiIiIiILuO0DESkBAyERERGRCXePEBIRVRcM\\\n",
       "hEREREQmGAiJSCkYCImIiIhMMBASkVIwEBIRERGZYCAkIqXgthNEREREREQKxRFCIiIiIhMcISQi\\\n",
       "pWAgJCIiIjLBQEhESsFASERERGSCgZCIlIKBkIiIiMgEAyERKQUDIREREZEJBkIiUgquMkpERERE\\\n",
       "RKRQHCEkIqrGrI08CCGquCeeU1RUBF9fX6fPr+izUqlUivo8lXSvlcERQiJSCgZCIqIaRqPReLoL\\\n",
       "VSorK8vpc1WqiifCMCCRJQyERKQUDIRERDVMfn6+p7tQpU6dOuX0uWlpaTaP63Q6p9um2o2BkIiU\\\n",
       "goGQiKiG0Gg0uHXrFry8lPW/7qZNmzp13sCBA1GvXj2bdQICApxqm2o/BkIiUgouKkNEVs2fPx9d\\\n",
       "unRBnTp1UL9+fQwePBjnzp2r8Lz169ejVatW8PHxQdu2bbFlyxaj40IIzJo1Cw0aNICvry/i4uJw\\\n",
       "/vx5d91GjSaEkF/FxcXw9vb2dJeqnK1AePPmTaPPyGAwoLi4GEII/PTTTzbbvXbtGkpKSpzqU8OG\\\n",
       "DbFgwQKEhYU5dT5Vf2WB0N4XEVFNxUBIRFbt2rULkyZNwsGDB7Ft2zbodDrcd999Nqcs7t+/H8OH\\\n",
       "D8e4ceNw7NgxDB48GIMHD8bJkyflOgsWLMDixYuxbNkyHDp0CP7+/oiPj0dRUVFV3BbVQN99953R\\\n",
       "e39/fwghEBISYlQuSZJdz1gmJiaiUaNGTvVFCIGrV6/i5ZdfRnp6OoQQ8PPzc6otd3j66adRXFyM\\\n",
       "zMxMxY0mExGR4/g3BRFZtXXrVqP3K1asQP369ZGQkIB77rnH4jkfffQRBgwYgJdffhkA8MYbb2Db\\\n",
       "tm1YsmQJli1bBiEEFi1ahJkzZ2LQoEEAgJUrVyI8PBybNm3CP//5T/feFNVIQ4cOlUdJtVqt0+0Y\\\n",
       "DAb4+Pg4/exgQUGBxfL8/Hyo1WoYDAan+1ZZkiQZXT80NBQ6nQ6xsbG4cOGCx/pVU3HKKBEpBUcI\\\n",
       "ichuOTk5AG5/0bTmwIEDiIuLMyqLj4/HgQMHANwemUlNTTWqExQUhG7dusl1LCkuLkZubq7Ri6q/\\\n",
       "vLw8eHl5QZIkjBw5stLtVSYM1q1bF2q1ulILydja/sJaWKwq1sLo+fPnFbcyrStwyigRKQUDIRHZ\\\n",
       "xWAwYMqUKbj77rvRpk0bq/VSU1MRHh5uVBYeHo7U1FT5eFmZtTqWzJ8/H0FBQfLL2el+VHXWrl2L\\\n",
       "wMBA6PV6AMDq1avx4YcfeqQvDRs2xM2bNyvVRufOnW0er0xYrayyz9ia4uJis+m1ZBsDIREpBQMh\\\n",
       "Edll0qRJOHnyJL755huPXH/GjBnIycmRX1evXvVIP8g+Qgg88cQTZuX//ve/bZ5369YtuxYuclRK\\\n",
       "Skql2zh8+HCFdfr27Vvp6ziqqKjIrv0Wb9686dEprTURwyARKQEDIRFVaPLkyfjpp5+wc+dONGzY\\\n",
       "0GbdiIgIs73f0tLSEBERIR8vK7NWxxKtVovAwECjF7nGlStXoFKpoFKpXDYV19oURbVabfUcrVaL\\\n",
       "OnXqoFWrVpAkya4N4y9cuGBXyJk1a5bN4w0aNMDff/+N0tJSGAwGFBUVYc6cOVCpVNBqtSgsLLTr\\\n",
       "i//OnTsrrGNNYGAgBg0ahIceegiNGzeGVqu1GvQ0Gg02btwIIYRDI5MML/bjCCERKQUDIRFZJYTA\\\n",
       "5MmTsXHjRuzYsQMxMTEVntOjRw9s377dqGzbtm3o0aMHACAmJgYRERFGdXJzc3Ho0CG5DlWtVatW\\\n",
       "yds2nDhxotLtZWdno7S01OKxhIQEi+WZmZlmW0CYTisuLysrC5IkITY2Fmq1usIRwDlz5qCkpATP\\\n",
       "P/88+vXrhyVLliAvL0++75SUFLktSZKg1Woxe/Zs6PV6FBUVwcfHp4K7/h97RhLLCwsLgxACOTk5\\\n",
       "2LRpE3744QckJSWhqKgIer3eaFuN8luQDB482KHrEBERWcJVRonIqkmTJmHNmjXYvHkz6tSpIz/j\\\n",
       "FxQUJC+uMXr0aERFRWH+/PkAgBdffBF9+vTBBx98gIEDB+Kbb77BkSNH8OmnnwK4/a/uU6ZMwZtv\\\n",
       "vonY2FjExMTg9ddfR2RkJL/geshrr72Gfv36wdvbu8Ln5IDbz5MGBASgsLAQvr6+OHHiBJo1awYA\\\n",
       "OH78ODp06GD13LZt21osnzp1qllZRkaG1XZMFzaKiorCwYMH0a1bN6vneHt7Y/HixVaPu0qXLl2Q\\\n",
       "k5ODoKCgCuv6+/sjPT3d7X0ix3GVUSJSCgZCIrLqk08+AWD+XNTy5cvx5JNPAvjfdMMyPXv2xJo1\\\n",
       "azBz5ky8+uqriI2NxaZNm4wWonnllVeQn5+PCRMmIDs7G7169cLWrVsdGoUh13JkdLb8tM/CwkI0\\\n",
       "b9680td/9dVXsXLlSqOyxo0bW6z7j3/8w2J59+7d7ZpmWhUCAwMhhIC3t7fV0VLg9jOTVD0xEBKR\\\n",
       "UjAQEpFV9ny5/uOPP8zKhg0bhmHDhlk9R5IkzJs3D/PmzatM98gDJkyY4JZ2W7Zsafbc4OXLly3W\\\n",
       "/f333622s3DhQoujjZ6i0+ng6+uLoqIis2O9evXyQI9qR3iZMWOG27fSYCAkIqXgM4RERGS3zz77\\\n",
       "rFLn29rHz2AwYPny5Zg9e7bTI33/+te/EBgYaDGAeUphYaHFRZD27Nnjgd6QvbioDBEpBUcIiYjI\\\n",
       "LpXdxw+4vUWCrRVEy6YiV0ZeXp4cPFUqFUpLSz3+hT0nJwdXrlxB69atERoaiqSkJI/2hyrGEUIi\\\n",
       "UgqOEBIRkV3q1q3rsrbq1Knj9LkPPfSQ3XUNBoNde/RVhcaNG+PWrVu4cuWKXQGitLQUGo0GKpUK\\\n",
       "S5curYIeUnkcISQipagef0sSEVG1tnXrVpe2V5nFVH744Qebe1a6g06nQ3Z2dpVe09vbGzqdDkII\\\n",
       "TJo0CWPGjKnS6xMRkTIwEBIRUYXuv/9+l7Z37733Vur869evo7i42O0LiwC3g5lGo0FISAgkSYJe\\\n",
       "r3f7NfPz883KVq5cibS0NIv1q8vqqrUJRwiJSCkYCImIqEq1bdsWO3bsqHQ7Go0GxcXFFY42NmzY\\\n",
       "0Olr/PLLL2bbRnh5uf/xe2vXiIiIwKRJk6DX61FYWIhmzZpBkiSoVCpIklStFtOp6RgIiUgpGAiJ\\\n",
       "iMilvLy8kJKSAr1eD51OhytXrmD37t3IycmBEAL//e9/XXo9f39/CCGg0+nMnhf08vLC1atXnW77\\\n",
       "pZdeslj+yy+/WCx/66235IDg5+fn9HW1Wq3VY0uXLoWXlxf8/Pxw6dIlo2PW9m4kxzEQEpFSMBAS\\\n",
       "EVGF7F1h9MSJE9DpdGjQoAFUKhW8vLzQqFEj9O7d2+LWC67k5eUFvV4Pg8GAjIwM6HQ66HS6SrX5\\\n",
       "zjvvWCx/4IEHzMqaNWuGmTNnyu8LCwuxZs0ai+eXbVovSRKaN29usU5JSYnD/W3QoIHD55BlDIRE\\\n",
       "pBQMhEREVKGQkBAIIdCiRQuLx4ODgyGEQJs2baq4Z+YkSULdunVdMrVz8ODBNq/zxx9/4L///S9U\\\n",
       "KpXZaB0AjBo1yuK5ZdthAMDFixct7s/o7e2NrKwsh/p7/Phxh+qTdQyERKQUDIRERGS3c+fOQQgB\\\n",
       "IQT0ej30ej2EEA4Hl5pk8uTJVo/de++9uOuuu6wu6mIwGMzKLNW19uxfcHAw9u3bZ1c/9Xq9XcGk\\\n",
       "7NevJr+0Wi0DGhGRizAQEhGRU1QqVbXZ48+d/vOf/zgdMNRqtVmZo2317NkTQUFBVo937NgRQghF\\\n",
       "/FpUJY4QEpFS8G8PIiKqcnq93mz1zurs7NmzTp134sQJi+UtW7Y0el+vXj2b7VjbA7GwsBAJCQlO\\\n",
       "9Y1sYyAkIqVgICQioiqzYMECSJIELy8veVEVtVqNw4cPe7prAID09HR5CwdJkuT9AJs2bepwW++8\\\n",
       "8w7uuOMOi8fOnj2L5ORk3HXXXUhISMCNGzcqbE8IgbvvvhsBAQH46aefIISAj4+Pw/0i+zAQEpFS\\\n",
       "uH8zJSIiIgBvvvkmXn/9dbNyg8GAbt26mZVLkoTGjRvj2LFjCAkJcXv/kpKSEB0dbVQWEBCA9PR0\\\n",
       "hISEQKPRVLjyp0qlQk5ODgICAiq8XmRkpMOLwOzdu9eh+uQ8R4IeAyER1WQcISQiIqeUlpZaXDTF\\\n",
       "Er1ebzEM2iKEQFJSEkJDQ+WRxJYtW6JZs2by6KK3tzfS09NttuPl5SV/uV+6dKnVeqZhsMxPP/0E\\\n",
       "tVqNe+65x+Z1unfvDr1eb1cYpOqPI4REpBQMhERE5JCkpCQ5jKnVajz44IMVnuOKLSAMBgP+/vtv\\\n",
       "XLp0SX7+sLS0FOHh4XjiiScsnqNSqaDX6+X3kyZNQmRkpFm9DRs2WL3umDFjIEmS1c3oAUCj0eDA\\\n",
       "gQP23goREVG1wUBIRER2uXTpElQqldlI2s8//2zzPFeEwYqsXbvWbJXNe++91+IWD9evX4eXl5c8\\\n",
       "unnjxg08+uijFtu9du2a3K6XlxdCQ0Mt1isuLrbZvyFDhkClUkGj0VhdaIaqF44QEpFSMBASEZGZ\\\n",
       "Q4cOme311qxZM6v77Vkze/ZsoxE6dxJCIDAwECkpKbjzzjvxxx9/WK2r1+uhVqshSRLq169vsc6I\\\n",
       "ESMQFRVlVJaZmWmxLVsuXryIjRs3QggBnU6Hdu3aQZIk5OXlVXxT5FHuCoOfffaZxXYuXLjghrsg\\\n",
       "IrKNi8oQESlETk4OSktL5WfyLMnNzbW5552j5s2b57K27JGXl2cW4hz14IMP4scff7R6XAiBrVu3\\\n",
       "wsfHB3379q2wvX79+lksDwwMRFFREbRarbNdddioUaOwatWqKrteTebORWUmTJhgsTw2Ntbhf3Qh\\\n",
       "IqosjhASEdVyx48fhyRJCA4ORr169eRtFZ588kkUFhZCr9fjwoUL8PLycioM1qbpcn/++afNMFhm\\\n",
       "wIABdoXBivj5+VW6DXvodDpIkoSvv/66Sq5XG1TFlFEhhPwiIvIUBkIiolquQ4cOFsu/+uor+Pn5\\\n",
       "wcvLC7GxsU5P7bT2XB0AjB8/3qk2PaVz584ub3PTpk1Wj9m7SmtlaTSaKrlObeJMIExJSUFUVJT8\\\n",
       "Gjp0aIXXKP9fIiJPYCAkIqrGLl26BJ1O5/T5ubm5LuyNZREREVaPffrpp9ixY4e8MIskSWaLv1iS\\\n",
       "kZEhj5x07dq1wvqu+EJta0uKyrAWyAHY9VlYk5+fL4eRp556ymo9jj45x9kRwpSUFPn1/fffW2y7\\\n",
       "/Iq15c/lrxUReQIDIRFRNdasWTNoNBqng0OdOnVc3CNzycnJNo/fe++90Ov1EELAYDDIP+v1eoSF\\\n",
       "hZnVFUKgbt26ctmhQ4cQHBxsse2JEyfK7Va00icAqNVqq8cmTpxY4fnOsjb6WpmFZQIDA+Wfly9f\\\n",
       "jrvvvttiPYaMqhUZGSm/hgwZYrHO/fffb7GcI4VE5AkMhERENYAQAp06dXL4PEmSnA4EOp3O6Bmn\\\n",
       "nj17WqyXnZ3tVPsqlQrp6elG19ixY4fFullZWRg7dqz83tvbG0IIo1E9jUZjNXiVlpZCCCH/VwiB\\\n",
       "4uJi/PbbbyguLrb5GV24cMFoJEilUtkVPk3vtey6Op0OBoMBQohKPUNoOt10//79uOeeeyxemxzn\\\n",
       "zAhhZGQkkpOT5Zet/S0BPkNIRNUD/5YgIqohtmzZ4vS5Qgibo2PlqdVqCCHM9g/ct2+f09d3hS+/\\\n",
       "/FIeDSwpKbFYpyxklpEkCaWlpRbvXaPR4B//+EeFz9fFxsYavRdCwMfHB5cuXXLiLm7vZ+iKkSBL\\\n",
       "+zvu2bPHYt2ioqJKX09puA8hESkFAyERUQ2wd+9ehIeHV6qNI0eOyD+Xf0av7FU2alVaWmq1DUv7\\\n",
       "8FW1ir58h4WFGd2TvUHYElvPbzZr1szpdl3B2p51BQUFZmVarRYGgwEtW7Z0d7dqjaoIhAyURFQd\\\n",
       "MBASEVVjZcHG2vNhjnjmmWfkn8s/o1fGni+loaGhZs8lNmzYsNJ9q64qmm555syZKuqJuSZNmlgs\\\n",
       "HzRokMVySZJw9uxZd3apVnFnILT2a1d+WjQRUVXhxvRERAqQlZWFw4cPy++FEE6PSuTm5sLLy0t+\\\n",
       "Xu/KlSsu6WN1VNHo4sGDB3HHHXdUUW/MBQUFIScnx6hs+/btHupN7eLOjekvX77sRI+IiNyDI4RE\\\n",
       "RArQrl07o/fHjh2rVHsHDhyAt7c3JkyYUOunu0VGRlo95sxCP640cuRIszIuUEJERI5gICQiUoBr\\\n",
       "164Zva9skOnSpQtKSkrwf//3f5VqpyZITk62OnXUNGhXtRkzZlgsr6oN72szLipDRErBQEhEVEOZ\\\n",
       "bodw8uRJh87nSJL99Ho9oqKijMoOHTrkod78zw8//GCxvEuXLlXck9qHgZCIlIKBkIioBsrMzDTb\\\n",
       "DqFt27b466+/7G7DmUBoMBjQqlUr+Pv7IzEx0eHzK6OoqAh79+7Fxo0bkZGRUaXXBm6PsgohUFhY\\\n",
       "CCEEunbtWuV9MPXcc89ZLD969GgV96T2YSAkIqVgICQiqoHq169vsbx9+/YWy5OSkszKHN2wvFev\\\n",
       "XlCr1Th37hwKCgrQtGlTh8531jfffANJkuDr64vevXtjyJAhCAsLQ7du3SrVrl6vh0ajgSRJUKvV\\\n",
       "du/V5+PjU6nrusL58+crDCEMhZXDQEhESsFASERUAzk6ute4cWNcv35d/uJatkKovf7++2+LG9PH\\\n",
       "xcU51I6j9Ho9hg8fbvFYcXGx0+0aDAZ4eXnJ+wwaDAb4+vo63R4A7NixAwEBAejfv3+l2qlIaGgo\\\n",
       "WrRoUWE9Ty94U9MxEBKRUjAQEhHVQEuXLrVYbmsLhIiICHnzeUdHB9u2bWuxfOfOnQ6146iUlBSr\\\n",
       "xyqzUqpGo7FYvnfvXqfa69mzJ/r374/8/Hzs2LHDakAoLS1F06ZN8cgjjzh1nbNnzyIrK8vu+iNG\\\n",
       "jHDqOkREpBwMhERE1Vjnzp3x3HPPmU1nfPbZZ5GammoU7Dp16oTTp0+7pR/WAo6jwdJRjRo1slhe\\\n",
       "UlJic1RGCCGP/llibYR0/vz5jnXw/ztw4IBZmekehsXFxfD29kZiYiI2bdoErVbr8HU6dOjgUP01\\\n",
       "a9YgLy/P4esQRwiJSDkYCImIqrGEhAR88skn8PX1RePGjY2OhYeHQ6/XQwgBIQSOHDnitn6cOnXK\\\n",
       "YrmzI2qOMBgMaN26NTQaDZ555hkIIeDt7W21fvfu3aFSqaDRaODl5WV2vKSkxOq5vXv3dkmfgdv9\\\n",
       "rlOnDvLz83Ho0CGzZw9LSkoQHh4ubxFx69YtHDlyxGaQtfc5x/ICAwON3jsadKrjq7i4WP59b+1V\\\n",
       "WQyERKQU5n9TEhFRtXT16lWPXbtZs2aIjIw0msJZp06dSi/sYg9JkqwGUlM3btww2g5Cr9fj66+/\\\n",
       "NtrA3VJILPPSSy851cf69esjPT3drPzWrVsICAiwel56errZSCIAhISE4ObNm0Zlo0aNcqpvABAQ\\\n",
       "EIBbt245fb4SORL0GAiJqCZjICSq4RITE7Fnzx4kJSWhoKAAYWFh6NChA3r06FEtVkOk2iM5ORk6\\\n",
       "nQ67du3CPffcY/U5PE+yNMV03LhxRoHQ1jRXZ6ZxAkBaWppLQ0FWVhYiIiKQmpoK4HbQ/frrr51u\\\n",
       "Lz8/H9nZ2QgODnZRD5WBQY+IlICBkKiGWr16NT766CMcOXIE4eHhiIyMhK+vL27evImLFy/Cx8cH\\\n",
       "I0aMwLRp09CkSRNPd5dcwNqWElXJ29vb7SuLVkZpaalZmb0rql6/fr1S1xZCuDRApKWlyaOHZdNK\\\n",
       "KyMkJISB0AEcISQipeAzhEQ1UIcOHbB48WI8+eSTSEpKwvXr15GQkIC9e/fi9OnTyM3NxebNm2Ew\\\n",
       "GNC5c2esX7/e012mSmrVqlWlVtUsYzAYEB0djZ49e7rkOavqpkePHmZltqaIlhcREVHp6zds2LDS\\\n",
       "bZQnhLAaBlu2bInS0lKcP3/e7vays7Nd1DMiIqotOEJIVAO98847iI+Pt3pcq9Wib9++6Nu3L956\\\n",
       "6y1cvny56jpHLuXK0FZSUiJPiUxKSoJKpcLFixerbIP5qrBp0ybUq1fPqMx0kZZPP/3U7LyKViy1\\\n",
       "dwQoOTnZrnr28PLywv33348ff/zR7JharcbZs2cBAM2bN0fDhg1x7do1l12bOEJIRMrBEUKiGshW\\\n",
       "GDRVt25dblBNAGBx77uWLVt6oCfuY7qiJmA+3fLFF180q2PtecizZ8+iUaNG+Oqrryq89urVq10a\\\n",
       "4NesWYNVq1ZZfObx6aefNnrfv39/l12XbuMqo0SkFAyERLVEeno6Tp48if/+979GL6IyW7ZsMSsr\\\n",
       "LS1FUlKSB3rjHpZW7ASADRs2ALgd2ixt3WDt+cw77rgDycnJePLJJyFJktmefpmZmfD394ckSUYL\\\n",
       "11TWli1bMGzYMAQFBeH99983O75s2TKj9w888IDLrk23MRASkVIwEBLVcAkJCWjTpg0aNGiAdu3a\\\n",
       "oX379ujQoYP8X6Iy1rY/sLUvX1Vo166d/KXa2nN8GRkZqFu3LgICArBp0yarbVmbNvnoo49Cq9Va\\\n",
       "DW1ffPGFWdnx48fNygIDAyFJElQqFSRJQr169VBQUGC1P87w8/PD/fffL7+fMmVKhefYGumtX78+\\\n",
       "7rrrLjm4kn0YCIlIKfgMIVEN99RTT6FFixb44osvEB4ezi8mZFVeXh7UarXRFMpOnTohNjbWY31a\\\n",
       "sGABTpw4Ib8v277h999/R79+/ZCXl4fQ0FCjlULLpr7Onz8f06dPN2qvWbNmVq9lK/jeeeedZmVj\\\n",
       "xoyxWt9dC/KoVCrk5+cblZn+mX7++efNzmvTpo1ZmUajQXFxsVk5/x9hHz5DSERKwRFCohru0qVL\\\n",
       "WLBgAbp164bo6Gg0adLE6EVUnl6vhxACpaWlEELgyJEjHu3PtGnTLJbHxcVBpVIhKCjI6rYRM2bM\\\n",
       "gCRJiI6ORmRkJNRqtcVtJ8pY+9LesWNHi+X33XdfBb13TpMmTaDX62EwGHD48GE0aNAAQUFB2Ldv\\\n",
       "n9V7vXnzJlQqFUJDQ7F48WKz42q12ug5SGthELgdZmv6S6vVun3EjiOERKQUDIRENVz//v3x119/\\\n",
       "ebobVMNYe9YOuL0Iy6xZs3DhwgWbbQgh8Mgjj8DX1xc+Pj5o3LgxlixZgoKCArtG0MLCwhzutyVl\\\n",
       "W6/Y2qsvNDQUOp0Oer0eixcvhlqthiRJePXVV5GQkGDxnAULFrikf6YSExPlKaddunRBSkoKsrOz\\\n",
       "0bNnT6vnhISEQK/XIzMz02qd4uJi7Nu3D5cvX7YaBomIiExxyihRDff5559jzJgxOHnyJNq0aQNv\\\n",
       "b2+j4w8//LCHekY1VVlYfOONNxAaGmoxhJw+fdpsmuXVq1fx/PPPW5zSCNyezvnbb79BCIE2bdpY\\\n",
       "XNzFHTQajdE92OpjeWUjP66eHurO0SRboZIcwymjRKQUDIRENdyBAwewb98+/PLLL2bHJEmyOgWN\\\n",
       "yBI/Pz+j9zdv3oRGozF6/u7dd981e3bPHhcvXrT5jJ87/Pjjj3jwwQedPt9gMCA9PR3h4eE260VF\\\n",
       "RRktaBMQEGD2LCDVLAyERKQUnDJKVMM9//zzGDlypDxlrvyLYZDKS09Px5AhQ2xuM1FYWGhWptPp\\\n",
       "cObMGQC3p4k6EwY94Y033qhUGCxTv359XLp0yepxLy8vs9VNb926VenrkmfxGUIiUgoGQqIaLjMz\\\n",
       "Ey+99FKFIxikbI8//jjCw8OxceNGREdHIz093aHze/bsCb1eLwfD6q5du3aYOXOmy9qLiYmxuBIp\\\n",
       "cDswWzJ06FCzMnctVEOux0BIRErBQEhUww0ZMgQ7d+70dDeomvv222+N3jv6DwihoaFQq9Vo2rSp\\\n",
       "K7vlFlqt1uGFlgwGA86dO4dvvvkGP/zwAxITE40WZhFCYMOGDfDx8ZHLvLy8bC5k891330Gr1RrV\\\n",
       "//XXXx3qlyuVrS5L9mEgJCKl4DOERDVcixYtMGPGDOzduxdt27Y1W1TmhRde8FDPyBXKthP4+OOP\\\n",
       "8dRTTznVRlZWlsXymzdvIjQ01KjM29vb4ojXqVOnAAA+Pj4ICgpCTk6OU31xpZCQENStWxeJiYny\\\n",
       "9OhBgwbZ3Ljekvbt29sMkF5eXujXrx9mzZqFS5cuISAgAAEBAXaFgKKiIrlvtlZ2dSedTme0JYW7\\\n",
       "9lAkIqKaiYGQqIb7/PPPERAQgF27dmHXrl1GxyRJYiCs4QwGA4qKijBu3DiMGzcOXl5eyMrKQkBA\\\n",
       "gN1tWAtI0dHRyM3NNSpTq9VmgVCSJKORsatXryIwMND+m3ADlUqFGzduVDpkvf/++xWOJpaWluK3\\\n",
       "337D2bNncfnyZYdHgzwVBMuUH6Uk+3FRGSJSCk4ZJarhEhMTrb5sLYThiI8//hjR0dHw8fFBt27d\\\n",
       "cPjwYZv1169fj1atWsHHxwdt27bFli1bjI4LITBr1iw0aNAAvr6+iIuLw/nz553qW0UbWBcXFzs8\\\n",
       "9as6vUyVlpaiTp06kCQJ27Zts+szMp0uWiYvL89stMjSVhAvvvii0fs6derYdd3KsvUl22AwQKWq\\\n",
       "/F9h06ZNs7vu1atXa+QXf44IOqc2TBndunVrte0bEVUfDIREtdT169ddsrH2unXrMHXqVMyePRtH\\\n",
       "jx7FXXfdhfj4eKuLkuzfvx/Dhw/HuHHjcOzYMQwePBiDBw/GyZMn5ToLFizA4sWLsWzZMhw6dAj+\\\n",
       "/v6Ij4+vsn3paov77rtPHr1LS0uzWm/Hjh1Wj6lUKqSlpaG0tBT169e3WMfZqarWrmePnTt3yqvl\\\n",
       "Wjun/O8pZ+Tl5dl8BtAUv1grS20IhAMGDPB0F4ioBmAgJKrhnnrqKYuvkSNH4o033qh0+wsXLsT4\\\n",
       "8eMxduxYtG7dGsuWLYOfnx++/PJLi/U/+ugjDBgwAC+//DLuuOMOvPHGG+jYsSOWLFkC4PZoxaJF\\\n",
       "izBz5kwMGjQI7dq1w8qVK5GSkuLws190W3FxMSIiIiBJEv7++2+zY+X3ELQkIiIC3t7euHHjhsXj\\\n",
       "77zzjlmZl5fjTxyEhobitddesysU9u3bF4DtvTTvuuuuCtu5fPky1Go1JEmCl5cXPv30UxgMBggh\\\n",
       "8OqrrzrU/82bNztUv7po2LChp7tQI9WGQFimuvePiDyLgZCohsvKyjJ6ZWRk4PDhw/jjjz/w/vvv\\\n",
       "V6rtkpISJCQkIC4uTi5TqVSIi4vDgQMHLJ5z4MABo/oAEB8fL9dPTExEamqqUZ2goCB069bNaptk\\\n",
       "v5YtW0KSJNxxxx1o2LCh0bN/zlqzZo1Z2eLFi83KJElCy5YtrT5fWFJSgjFjxmDUqFE2r2dpVGPi\\\n",
       "xIlmZUIIm4vbHDx4EDExMfIooF6vxzPPPIOgoCD07t0bH3/8sc1+lLdy5UqX7GnoCVevXvV0F2qk\\\n",
       "2hQIAfP7ISIqw0BIVMNt3LjR6PXDDz/g5MmTmDdvXqVH3DIyMqDX6822KAgPD0dqaqrFc1JTU23W\\\n",
       "L/uvI20Ct0e6cnNzjV5k3dmzZ5GcnOy29k2nkfr4+ODq1as4c+YMLl68aPGc4uJiBAUFYc6cOTZH\\\n",
       "GC2NPs+fP99i3TFjxlht595777VYfuvWLezfv9/uZ+sCAgIqDLHVnTMjulQ7lD1P3bx5c093hYiq\\\n",
       "KQZColpq+PDh+OOPPzzdDZeZP38+goKC5FejRo083SVFad++vdF7rVYLg8GA4uJiCCFQWFiIqKgo\\\n",
       "SJKEevXqoVWrVmZt6PV6hIaGIjo6GjqdDr/88ovZSEV0dDQaNGhgdm5QUJDFflmbximEsPlMqiML\\\n",
       "rWRmZtpdt4xOp0NOTk612fdPp9NZ/FzJtpo4OmitT//5z3+MFtwiIirDQEhUS/3111/o0KFDpdqo\\\n",
       "V68e1Gq12YIlaWlpiIiIsHhORESEzfpl/3WkTQCYMWMGcnJy5BenwVWtv/76y+xLpCRJRvvblWfp\\\n",
       "uUUfHx+j5wcHDBggP89XWloKIQQSExOt9sF0j80yU6ZMMSuzNXLoDgaDAU2aNJG/jGs0GgQHB8Pb\\\n",
       "2xuSJNm8r6qSkpLCIOCA2jBltHy/7r///mrbTyLyLM4hIarhpk6dalaWlpaGzZs3Y+DAgUbHFy5c\\\n",
       "6FDbGo0GnTp1wvbt2zF48GAAt7/4bt++HZMnT7Z4To8ePbB9+3ajL+nbtm1Djx49AAAxMTGIiIjA\\\n",
       "9u3b5VGn3NxcHDp0yOJzYmW0Wi33U/OwyMhIXL9+3a66lrY8GT16tNX69uzV169fP/z6669m5R99\\\n",
       "9BHefPNNeW9Gg8GAVatW2dVPezRs2NDqqrrA7dHGivrftGlTLFu2DM8884zL+kXu5UjQq85BS5Ik\\\n",
       "/kMAEdnEQEhUwx07dsxieZcuXZCeni5/kXX2C8vUqVMxZswYdO7cGV27dsWiRYuQn5+PsWPHArj9\\\n",
       "JT8qKkp+xuvFF19Enz598MEHH2DgwIH45ptvcOTIEXz66adyP6ZMmYI333wTsbGxiImJweuvv47I\\\n",
       "yEg5dFL1lJqaCiFEhb+XFi1aZLF87ty5lbp+x44dLQZCAPLejCEhIbh582alrmPqxo0bOHPmDO64\\\n",
       "4w6Lx+2dvvzss8/C29vbpdt4kPvU9EBo+pw2EZE1DIRENdzOnTvd2v7jjz+OGzduYNasWUhNTUX7\\\n",
       "9u2xdetW+cvGlStXjKYB9uzZE2vWrMHMmTPx6quvIjY2Fps2bUKbNm3kOq+88gry8/MxYcIEZGdn\\\n",
       "o1evXti6datTK2JW9EVMq9XW6H8dr25fNP38/FBYWGj1+NChQ/H9999bPBYSElKpa1ta7bQ8IYTL\\\n",
       "w2CZ1q1bW/195MjiPePGjUNQUBCGDh3qqq6Rm9T0QGhrVJuIqDwGQiKq0OTJk61OEbW0cM2wYcMw\\\n",
       "bNgwq+1JkoR58+Zh3rx5rupirWUwGJCcnFxtFtEpKiqCl5cXZs6cidLSUnzxxRe4ceOG1b0Cy8vO\\\n",
       "zkZYWJhT19Xr9UhKSnLqXFd55ZVXsGDBAqMynU7ncDuPPvoojh49WulnfMm9amogLD+K7+fnh4KC\\\n",
       "gmrVPyKqfrioDFENNGDAABw8eLDCenl5eXj33Xcd2m+NqhdJktCwYcNqNcqp1+sxd+5cvPXWW0hN\\\n",
       "TbUrDAJAixYtKqzTqlUr+Yu4SqVCz549MWnSpGrx/Oh7771nVubs1h4dO3bE5cuXK9kjIsvKVhLN\\\n",
       "z8/HG2+8IZeXTd0nIiqPI4RENdCwYcMwdOhQBAUF4aGHHkLnzp0RGRkJHx8fZGVl4fTp09i7dy+2\\\n",
       "bNmCgQMHWvwiSzWPpRGqmiQ7Oxvnzp1Dy5YtLR739vY22qZBCIEDBw7gwIEDVdXFCo0ZMwZfffWV\\\n",
       "/L78dGlHxcTEoKCgAL6+vq7oGrlYTR0hNDVz5kzMnDnT090gomqMI4RENdC4ceNw6dIlvPrqqzh9\\\n",
       "+jQmTJiA3r17o0uXLoiPj8dnn32Gxo0b488//8S6devQuHFjT3eZXODdd9/1dBcqrVWrVsjIyDAr\\\n",
       "Hz16dLXZs8+WlStXGr2PjIysVHt+fn6VOp/cpzZsO0FEZA+OEBLVUFqtFiNHjsTIkSMBADk5OSgs\\\n",
       "LETdunWt7tdGtZtarbZ7+qYnhYWF4YsvvpBX20xPT3fpNhHu9sgjj2Djxo0AAC+vyv81mpSUhCZN\\\n",
       "mlS6HXKt2jJCSERUEY4QEtUSQUFBiIiIYBis5Sw9SxcYGGi0uft9991ndLxVq1YoKCiATqdDnz59\\\n",
       "jI6pVCp89913eOedd9zab1Pjxo2DSqVCQEBAtVse38fHB8nJydi2bZvF45s2bZIXkzEYDJW+Xu/e\\\n",
       "vSvdBrkeRwiJSCk4QkhEVI2Fh4ejYcOGGD16NLRaLXx8fFBcXGxU5+effzZ6b22vPgDYvn27PKo1\\\n",
       "cuRIo5G5adOmVekX27JFLzyh7D5NF+u5du0aoqKiANyeDmpt30WNRuOyDb+vXr1a6TaA2/sldu7c\\\n",
       "GY0aNcLevXtd0qaSuXuE0No51WkBKSJSBgZCIqJqLD09Henp6Th69CgAWBwB7t27N86dO2fXKp7l\\\n",
       "9+k7ffq06zpag+Tk5CAwMBDA7S/f7777Lj799FPs2rVLDoPlZWdnIzg42KzclV/crQVPS3Q6HWbN\\\n",
       "moU9e/YgKCgIycnJOHHihDxaeeXKFXTv3t2ulYjJMyz9fiIi8hQGQiKiGqS0tNTiyFTZyp0xMTG4\\\n",
       "ePGi1XBx5513yj8fPXoU+fn58Pf3BwBcuHDBTb12rQEDBiAsLAyrV692eMpm+TAI3B6lmT59OqZP\\\n",
       "n271nKCgIERFRTm9xYQ9OnTogOPHj1dYLyoqCikpKRXWO3LkiNVjtWF644wZM6DRaNx6DXeOEObk\\\n",
       "5ADgaCARVQ98hpCIqAYp21/MmsTERJsLndy4ccPofUBAALy8vODt7Y3Y2FiX9dNdMjMz8csvv2Dl\\\n",
       "ypXQ6/X4+++/7d76oUWLFkZh0BHXrl1z6jx7/fXXX/Dx8cETTzyB9evX48qVK/Kqq0IIrFmzBpIk\\\n",
       "2RUGyTWq4hlCPodIRNUBAyFRDTdmzBjs3r3b092gasRgMGDgwIFm5R9++KHF+nq93uktH4KCgpCZ\\\n",
       "mYmsrCyj0Ud3eP755xEaGmpUFhsbC71eDyEEDAYDiouLUVhYiIKCApw6dQrR0dFQqVQIDg7G2bNn\\\n",
       "K3X9Xbt2Ver8ihQXF2Pt2rV47LHH0KRJE3h7e0OSJKhUKowYMcKt1yZzzgTClJQUREVFya+hQ4c6\\\n",
       "fE0ioqrGQEhUw+Xk5CAuLg6xsbF4++233TqtjWqOLVu2YOzYsfL7nTt3YurUqS69RmhoKLKzsxEa\\\n",
       "Gorg4GCcPHkS2dnZGDJkCGJiYhAaGurQF1yVSoWVK1eiqKgIeXl5mDdvHgICAuDr64tvv/0Wixcv\\\n",
       "tnm+JEnQaDTw8fGBr68vWrdujcTERJSWliIzM7PSX7bvueceq8f++9//yqO3er0eR48ehVqtrtT1\\\n",
       "KsPa9iPnz5+v4p7UXM6OEKakpMiv77//3uY1yn7PcOooEXkSnyEkquE2bdqEGzduYNWqVfjqq68w\\\n",
       "e/ZsxMXFYdy4cRg0aBC3oVCwFStW4PTp02jSpAnWr1/v8vYtLUoTFBSE7777Tv6Ce+PGDbRs2VJ+\\\n",
       "Zsoab29vZGdnyxu1a7VavP7663jttddQWlpaqefFXDkdr379+khPTzcqCwkJQdu2beX3KpUKHTp0\\\n",
       "QG5urvx8picYDAaz6bSvvfaah3pT8zj7DGFkZKT8c/fu3V3eLyIiV+MIIVEtEBYWhqlTp+Kvv/7C\\\n",
       "oUOH0Lx5c4waNQqRkZF46aWXOCqgYIcPH65UGAwODrb43N3PP/9sdf/AsmmOKpUK4eHhyM7Ohl6v\\\n",
       "R1hYmFldLy8v6HQ6lJSUyGGwPJVK5fbFQ0zZGq1JS0szei9JEjIzMy3W9fPzs7l66N133y1P1+3V\\\n",
       "q5fzHbaibt26ZmVdu3Z1+XXofyIjI5GcnCy/NmzY4OkuERFViIGQqBa5fv06tm3bhm3btkGtVuOB\\\n",
       "Bx7AiRMn0Lp1a6vPjxFZsmjRIgghkJWVhZycHPkZvVu3bkEIgQceeMCh9lQqFdLT0yGEQE5ODjIy\\\n",
       "MiCEgE6ns7kITlUqC28qlQqSJGHp0qVW682aNQvPP/889Hp9haNIllZCvXbtGvbu3QuVSgW1Wo09\\\n",
       "e/aYLfhTWdnZ2cjOzjYq+/e//+3Sa9RmVb2oDBGRpzAQEtVwOp0OGzZswIMPPihPDZwyZQpSUlLw\\\n",
       "1Vdf4ffff8e3336LefPmebqrVM2Fh4cjISEBQgi8+OKLZsclSXLJFMjAwECLo1futHr16gq3dTDd\\\n",
       "G27SpElW686dOxeLFy+2+4u8EAIbNmzAhx9+CCGExf0O69WrByEEPv30U7vatMeECRNc1pbSuDMQ\\\n",
       "WhuF5rOEROQJ1eOfZYnIaQ0aNIDBYMDw4cNx+PBhtG/f3qzOvffey42Qyara/iV02rRpWLBgAYDb\\\n",
       "X/Kt7V2Yl5dnVmZpz0dnDRkyxK5648ePx/jx4wHc/rXp2rWrzX0FbeE/BFWOO0fuavufOyKqOThC\\\n",
       "SFTDffjhh0hJScHHH39sMQwCt0c+EhMTq7ZjVCN06NDB011wu/JTP4UQuO+++yzWszaaduLECbf0\\\n",
       "yx6SJOHPP/9Ew4YNnTq/VatWLu6RclTFlFEiouqAgZCohhs1ahR8fHw83Q2qoS5fvuzpLrid6ej4\\\n",
       "tm3bLNZbtmyZxecZ9+3bZ/S+pKQEjRs3hr+/P3755ReX9dMWZ/ZQtDTiCRhvdVBTX1qt1u0BjYGQ\\\n",
       "iJSCgZCIqBp74okn4Ovr67b2s7Ky3Na2KXdMkcvJycGaNWtstn3mzBmzMmv79Ol0OixcuFB+X79+\\\n",
       "fTzzzDPy+8LCQmi1Wly9ehUFBQV44IEHIEkSCgsLK3EXFbP32U1JktCgQQPo9XoEBAS4tU+1HQMh\\\n",
       "ESkFAyERUTW2evVqFBQUoKSkxG3XqFevns3jTz31lPyl9+OPP7Za78aNG2jfvj0GDBiAU6dOIScn\\\n",
       "B1999RXUarXR6p3e3t5ISUmRz8vMzIS/v798DZVKVeG+hQDw4IMPIjg4GCNGjIBKpbK652ZAQIDZ\\\n",
       "MVsB8qWXXpJHotLS0oy+7P/6668Wz/Hz83PL1hEVGTJkiNHImcFgQEpKitn+g0RERNZwURkiohrA\\\n",
       "29vb4kbjrpCZmQmdTmcxUN24cQPLly+X30+ePBmA+QqcYWFhyMjIAAD89ddfVoMTAJSWllpcZbOM\\\n",
       "EALBwcEoLCy0OR36559/Nmv35s2bCA0NNatbUlICHx8fFBcXQ61WO73VRXx8vNVj+/btgyRJuHnz\\\n",
       "JkJCQpxq35aYmBijZ4Hz8/Mt7t1IruHsxvRERDUN/wmRiKiGkCQJq1atckvbHTt2tFjesmVLs7Ky\\\n",
       "UFgmNzdXDoOu5EzYuXbtmtVjRUVFSEtLs2v00RpfX98Kv/yHhobKI51lLy8vL7Rs2RL5+flOX/vS\\\n",
       "pUvYsWMH9u/fDyEEw6CbccooESkFAyERUQ0ycuRIt7RrbdESa+Gp/NYNMTExbumTM88ctmvXzubx\\\n",
       "+vXrV3ovRVuhs7zyUzn1ej3+/vtvBAQEICwszOlr33vvvejRo4fT55P9GAiJSCkYCImIyOoiK9b2\\\n",
       "7Csf1rKzs93RJQC3F3mxpvz2EWFhYW7tR3mRkZGVOj8jI8Ns5VJ3MhgM0Ol0yMrKcno/QyViICQi\\\n",
       "peAzhERENUhmZqZb2nV0NE6tVss/2/oy3KVLF5SWluLYsWMWj/v5+UGSJKtTKW09M/nrr7+iuLgY\\\n",
       "Go2myr+QazQapxf66dy5M3r27OniHv2PEAKhoaFWAzI3RLcPnyEkIqXgCCERUQ0yaNCgKruWvcGh\\\n",
       "fDgsr3Xr1jh8+DCOHj2KXbt2GR2TJAkbN27ErVu3kJeXh02bNpmdL0mS1bbLlO1HV9WsjZxWJDg4\\\n",
       "GAcPHnRrn6tytJSIiGo+BkIiohrixIkTbp1q+Nlnnxm9t3fREmsrdp46dUr++Z577jHbHmHw4MHy\\\n",
       "KMygQYMghIBOp8P69evx559/WpzGWna+p5WWljp8ztChQ5GVlVVhyHWWEAKSJLltFFlpOGWUiJSC\\\n",
       "gZCIqBobM2YMWrVqBZVKVeGCKZU1YcIEBAcHY+TIkVCpVCgqKrJYz3QaZ3FxsVmdAQMGONUHLy8v\\\n",
       "PProo+jcubPRl+wWLVoYrdw5Z84cp9q35vvvv4darUZAQECFYS8wMNCpa3z33XdOnVdaWopz585V\\\n",
       "WI97D7oWAyERKQX/9iAiqsZWrlyJc+fOVdmoWE5ODlavXm3zevfcc4/Re0sjebY2sHdUVlYWzp8/\\\n",
       "b1Q2d+5cl7V/69YtDB06FAaDAfn5+fD29kZWVpbFuitWrEBeXp7Lrl2RL774At7e3mjVqhUkScKW\\\n",
       "LVss1mMgcT0GQiJSCgZCIqIapl69eggKCvLY9Xfs2FFhHVsbzzvK2siaM9M2LbHUV0ub2wPA2LFj\\\n",
       "nb5Obm6uQ/ULCwvx9NNPG5UNHDgQ9erVkwP7hQsXGEbchIGQiJSCgZCIqAaZPn06bty4gezsbHzy\\\n",
       "ySdVfv1//vOfdn351Wq1LrtmvXr1LJa7KhA6GtRMqVQq7N69G6mpqahbt67Veo6EeFsbz2dmZkKl\\\n",
       "UkGSJMTGxjrcX7IPAyERKQUDIRFRDfL222/LPz/77LN2nSNJEv744w/o9XoYDAYUFhYiPDzc4Wv7\\\n",
       "+flh7dq1FdZz9bNs999/v8VyjUZj8zxvb29IkoRGjRq5rC/Z2dnyl38fHx/odDro9Xr07t0b4eHh\\\n",
       "yMjIQPfu3a2eb89nM2/ePD4PSEREVYZ/4xAR1SAnT56Uf966dWuF9ctW9OzTp488quTj44PU1FQI\\\n",
       "IZCSkmL3ta3tFXjt2jX554ULF1rd5N5ZPj4+FstthSZJkuQRxGvXrlndTL5t27YWy63dQ1BQEAwG\\\n",
       "A4QQKCwstLjC6v79+632q2wlUFuv2bNnWz2fqg5HCIlIKRgIiYhqkHbt2mH16tVYtmyZ1ZGzMtYW\\\n",
       "RimvQYMGWLFiRaX6FBUVJW8H8dJLL5kdf+utt6BWqxEdHe30NSx94b5165bFupZGDq9fv25WZjAY\\\n",
       "jAJ2GT8/v0qN0P34449On+uorl27oqCgAHq9HkVFRfj888+tbgNCjmEgJCKlYCAkIqphRo4ciYkT\\\n",
       "J1ZYLzg42K72xowZg4YNG1ayV5YVFBRg5syZMBgMSEpKcukXZ0vbPwwePBg6nc5i/WHDhsk/6/V6\\\n",
       "q/sBVmYV0fT0dAwaNMjp8x2h0+lw6NAh+Pr6QqVSQavVYty4cdDpdCgsLKySPtRmDIREpBQMhERE\\\n",
       "hKtXr8Lf399mncaNGzvcrqX9Ak23rbCHpW0wyqZf+vn5QavVQpIkbN682Wob3333HdRqNby8vGyO\\\n",
       "ojkzOmgwGODt7e3Us5nOmD59us178PHxwYEDB6qkL7UVAyERKQUDIRERAbg9BdPa83rA7dBobcVP\\\n",
       "ayZPnmxWtnfvXofaaN26tc3jhYWFKCkpsastg8Fg8xlHZ0Jvx44doVarXbbqqT3mz59fYR1bi9uQ\\\n",
       "fRgGiUgJGAiJiEiWk5Nj83hmZqbZl2FLo4BlLAWsilYHLe/SpUs4c+aM3fUry9p00ZKSErPAp9Pp\\\n",
       "oFKpcOzYsaroGhERkVswEBIR1VLO7K/nzLNnc+fOtTils4wQwmgaprXVSi2d16xZM4f7UxlZWVk4\\\n",
       "cuQIgNujiWq1GpIkQavVyttYSJIElUoFjUZj877dpV27dnbVs/YsJdmHU0aJSCkYCImIaqm77rrL\\\n",
       "7rp6vR4TJ060eyEaUxV9Idbr9fJKpNYWczHlqdUyu3TpAkmSoFarYTAYLNbxRBAEbn8mf/31l111\\\n",
       "Z86c6ebe1G4MhESkFAyERES11OXLlyuso9frIUkSvLy8sGzZMqeu07lzZ6fOs8VgMFgNY9Z4e3vj\\\n",
       "3Llz6N27t8v7Ux20b9/e7mclAeD99993Y29qPwZCIlIKBkIiolqsor0IKzsKt2/fPvz555+VasOS\\\n",
       "zz77zKH6MTExKCoqQosWLbB792707dvXat277rqrUvsMqlQqXLx4Ud6gXq/XywvblI2CCiGwb98+\\\n",
       "p69hyYoVKxwKHo4GajLGQEhESsFASERUi9WtW9fqsStXrjjd7r/+9S8IIdCzZ0+n27DlnXfecaj+\\\n",
       "1q1bjULezp07zb6k16lTB0IIHD9+3OZKo9ZIkoQbN25Ar9ejadOmcvsqlQo+Pj7w9vY2qt+zZ09c\\\n",
       "unTJ4etY061bN7tXMh0zZozLrqtUDIREpBQMhEREtZgQAp06dbJ4zNnQcOrUKbdOR9TpdLh27RqA\\\n",
       "21/KN2zYAJ1OZ3NfvbNnz5qVGQwGOSS2b9/ebJGdmJgYu/rTpk0b6PV6GAwGh7fdiImJcVlYKC4u\\\n",
       "hre3N0aMGGGz3ubNm7Fy5UqXXFPJGAiJSCkYCImIarmjR48iICDArHzXrl0Ot+Xt7W1zX8Dk5GR0\\\n",
       "7NgRvr6+8gqdll4qlQrdunVDZmamvEBLUVER2rRpA41Gg9LSUnh5eaG0tBRDhgyBl5cXunfvjtWr\\\n",
       "V1u87pAhQyw+X6fX66HX6y1uDdGrVy+b99qjRw8IIXDixIlKTTH9/fffnT7XkjVr1sifYfPmzTFs\\\n",
       "2DD06dMHderUgSRJGDx4sM3zHQ061fFVXFxsND3X0ouIiOzjmSXciIioSuXn50OSJDz++ONYvXo1\\\n",
       "Bg8e7NSX5uXLl1ssnzt3rs39CE0JIXD48OEKR9xMg1hcXJzFenq9Hj4+Phafm7MW5qw949e3b1/s\\\n",
       "3LnTZr8c0a9fP0iS5PKQIoTAxYsXcfHiRZe2S7c5MvLHEUIiqskYCImIFGTdunVYt26dU+dKkoTh\\\n",
       "w4cblZVtI+GOERlLz8vZ2kqjrC8FBQXQarUAbk8btfTFPjc3F4mJifJ7lUqFs2fPIjY21kW9N1ZS\\\n",
       "UmL2jCFVbwyERKQUnDJKRERm1Go1unXrhri4OLRr1w7Tpk2DTqczGm0rLi6GSqVy6/Q8X19feQ/D\\\n",
       "kSNHIjU11WZ9g8EAHx8f+cu8Wq2WN5Hv3LkzOnToALVajaCgILnf8+fPh16vd1sYBG6v5urMQjbk\\\n",
       "OXyGkIiUgiOERERk5pNPPsH48eNt1vH393d7P4qKilyyQb1Op0NCQoLFY9OnT690+/ZQqVRGC91Q\\\n",
       "9cYRQiJSCv6tREREZrp161ZhHY54OU6SJIwaNcrl7c6ePVteCTU3NxeNGzd2+TWUhiOERKQUDIRE\\\n",
       "RGRm1apVnu5ClXF1sM3NzZVDgp+fn9nxzz77zGXXKnt+c86cOVCpVJAkCXXq1EFSUhKEEFYX4SEi\\\n",
       "IirDQEhERGY++ugjT3ehypQtQOMqQUFB8s+FhYVmo0cXLlxwyXWaNGlS4Ub127ZtgxACN27cwJAh\\\n",
       "QxAWFuaSaysBRwiJSCkYCImIyIxOp/N0F6qMXq+HJEmYMmUKvvzyS3k/P0mSUFBQ4JJrSJKEM2fO\\\n",
       "4MqVK2jTpk2l2vLz80NJSQkuX75s9zn16tXDhg0bkJ6eXqlrKwkDIREpBReVISIii1q3bo3Tp09b\\\n",
       "PLZ79+4q7o37WRoV9ff3d3gVVWt7DrZu3drpvgFAo0aNcOXKlUq1QfbjojJEpBQcISQiIovOnDmD\\\n",
       "pk2bmpVPnDgRffr0MSpr0qQJ8vLyYDAYUFxcjE8++cTi83M1kaXN7m3Jy8tzeR969OjhsjAohKjx\\\n",
       "L61W6/YRO44QEpFSMBASkUU6nQ7Tpk1D27Zt4e/vj8jISIwePRopKSkVnvvxxx8jOjoaPj4+6Nat\\\n",
       "Gw4fPmx0vKioCJMmTULdunUREBCAoUOHIi0tzV23UqP94x//QHBwsMeun5iYaPbFd9myZUZ1AgMD\\\n",
       "cfnyZQQEBECSJGg0Gjz77LPIz8+3+GW+tLQUr7zyiofuyHG7du1yqL6/v7/LN6Hfv3+/S9ujijEQ\\\n",
       "EpFSMBASkUUFBQU4evQoXn/9dRw9ehTff/89zp07h4cfftjmeevWrcPUqVMxe/ZsHD16FHfddRfi\\\n",
       "4+ONnl166aWX8OOPP2L9+vXYtWsXUlJSMGTIEHffUo3022+/ISsrC0II9OzZ09PdscjRlSzVajXe\\\n",
       "ffddCCFqxBfpxx9/3OFzbt265dI+ODpt1V1tEBFR7cNASEQWBQUFYdu2bXjsscfQsmVLdO/eHUuW\\\n",
       "LEFCQoLNqWsLFy7E+PHjMXbsWLRu3RrLli2Dn58fvvzySwBATk4OvvjiCyxcuBD9+vVDp06dsHz5\\\n",
       "cuzfvx8HDx6sqturkfbu3evpLlh0/fp1p899/vnnXdgT97h586bD52g0Gpf24ciRI06fm5WVhdDQ\\\n",
       "UPj4+CAwMNCFvardOEJIRErBQEhEdsvJyYEkSVanMJaUlCAhIcFoxEilUiEuLg4HDhwAACQkJECn\\\n",
       "0xnVadWqFRo3bizXIcskSaqWq39WJshXdnsLSZKgUrn3rzJX71PojK5duyI0NNTh5xMvXLiA0NBQ\\\n",
       "ZGVloaSkxC3PN9ZWDIREpBQMhERkl6KiIkybNg3Dhw+3OsqQkZEBvV6P8PBwo/Lw8HCkpqYCAFJT\\\n",
       "U6HRaMxCZfk6lhQXFyM3N9fopUReXl4OL3LibkII1KtXz+nzu3TpYrF87Nix8nOHXl7Gi2KrVCoI\\\n",
       "IWAwGKDX6+V6Pj4+TvfDlmbNmjlUf8yYMS7vQ1ZWFgIDAx0KILGxsS7vh5IwDBKREjAQEhEAYPXq\\\n",
       "1QgICJBfe/bskY/pdDo89thjEELgk08+8Uj/5s+fj6CgIPnVqFEjj/SjOigbKaxOX0QzMzOxfPly\\\n",
       "p87dunWrxfIvvvhC/tn0mbxDhw5ZPMdV+waaunTpkt11k5KSsHLlSrf0ozxfX1+bx3Nyctzeh9qs\\\n",
       "KkcIGS6JyJMYCIkIAPDwww/j+PHj8qtz584A/hcGk5KSsG3bNpvPINWrVw9qtdpsxdC0tDREREQA\\\n",
       "ACIiIlBSUoLs7GyrdSyZMWMGcnJy5NfVq1edvNPaoWykUK/X4/DhwwgICPB0l/DUU0+hpKTE4fNC\\\n",
       "QkIslpf/cmz6TJ61zd3d+YX6kUceqbBOr169EB0d7bY+lFdUVIRTp05ZPGYwGDy6Om1tUFWBkCGQ\\\n",
       "iDyNgZCIAAB16tRB8+bN5Zevr68cBs+fP4/ff/8ddevWtdmGRqNBp06dsH37drnMYDBg+/bt6NGj\\\n",
       "BwCgU6dO8Pb2Nqpz7tw5XLlyRa5jiVarRWBgoNGLbk+d7NKlC/Ly8lBcXOzp7kCr1bqsrfLP7s2e\\\n",
       "PdvomK3RryZNmrisD+Vt2rTJ6vOEaWlpkCQJ+/btc8u1rRkwYACio6Ph5eVlFE7UanWV9qM2qopA\\\n",
       "yCm9RFQdMBASkUU6nQ6PPvoojhw5gtWrV0Ov1yM1NRWpqalGo0D9+/fHkiVL5PdTp07FZ599hq++\\\n",
       "+gpnzpzBxIkTkZ+fj7FjxwK4vXrpuHHjMHXqVOzcuRMJCQkYO3YsevToge7du1f5fVZ3DRo0QLNm\\\n",
       "zfDqq69WuLiJRqPB4MGDq6ZjNpiGNwAIDg6Wvzj/+9//Njq2ceNGi+0EBgZCr9fjwoULeOONN4yO\\\n",
       "vfXWW1avn5iYaFbWqFEjJCcnIzs7G5MnT7bnNizy8vLC6dOn5fcZGRlQqVQ2R7fdYfr06cjMzJRH\\\n",
       "76vDwjcEpKSkICoqSn4NHTrUZv0LFy4A4JYgRORZkuD/hYjIgsuXLyMmJsbisZ07d6Jv374AgOjo\\\n",
       "aDz55JOYM2eOfHzJkiV47733kJqaivbt22Px4sXo1q2bfLyoqAj/+te/sHbtWhQXFyM+Ph5Lly51\\\n",
       "6Et1bm4uFi5caNe/zFsKKDWF6f0FBwcjKyvLav1bt26hTp067u5Whcr/1VJcXGxxsZemTZvC398f\\\n",
       "J06ccLj9+vXrm01NLs9gMGDOnDkYMmQI2rdvb7HOO++8gxkzZjh8bVdRqVTIyMhAYGAgXn31VSxY\\\n",
       "sKDCcwYNGoRNmzYZlTk6OlUb/tqfO3duhXXmzJmDnJwch2cTREVFISUlBZs2bYK/v79d5+Tn51v9\\\n",
       "xxhrn3fZr1t8fDy2bt0qv68Nvz5EVLN4VVyFiJQoOjrari8mly9fNiubPHmyzVEYHx8ffPzxx/j4\\\n",
       "448r00VFys7Oxv/93//hmWeesXjcdDVOd3jooYfwwQcfoHfv3jZDWRlrm7Q7slCLqYq231CpVJg3\\\n",
       "b57NOtOnT0fjxo0xYsQIp/vhLJVKZTSq9+677yI3NxfLli2zek6LFi3MwiAAeHt7V8vtSGo6R6aC\\\n",
       "lq8XGRkp/2xt1kP5+tYWVSIiqiqcMkpEVMM8++yzVo9lZma69doGgwE//PADYmNjkZqaanXLiPLc\\\n",
       "sbiJqxZueeKJJ1zSjqMyMjLMypYuXWrznHPnzlksnz59ukv6RMaceYYwMjISycnJ8mvDhg12X6f8\\\n",
       "+88++8xt90VEZIqBkIioFvn777/d1vaQIUPMRkysbf9QnjsWOBkwYIDL2vLEapyWVlZ1dmGSiRMn\\\n",
       "VrY7ZIE7F5WpaOGj8ePHV6brREQO4ZRRIqJqzNHnie69994qfQZJkiS7rledn4uy9UxmVXPmc2rQ\\\n",
       "oEG1/nxrKmenjNrD0lR7PkNIRJ7CEUIiIiIiIiKF4gghERERkQl3jhBawpFBIvIUBkIiIiIiE1Ud\\\n",
       "CImIPIWBkIiIiMgEAyERKQUDIREREZEJBkIiUgoGQiIiIiITDIREpBRcZZSIiIiIiEihOEJIRERE\\\n",
       "ZIIjhESkFAyERERERCYYCIlIKRgIiYiIiEwwEBKRUjAQEhEREZlgICQipWAgJCIiIrKAQY+IlICr\\\n",
       "jBIRERERESkURwiJiIiITHDKKBEpBQMhERERkQkGQiJSCgZCIiIiIhMMhESkFAyERERERCYYCIlI\\\n",
       "KRgIiYiIiEwwEBKRUjAQEhEREZlgICQipeC2E0RERERERArFEUIiIiIiExwhJCKlYCAkIiIiMsFA\\\n",
       "SERKwUBIREREZIKBkIiUgoGQiIiIyAQDIREpBQMhERERkQkGQiJSCq4ySkREREREpFAcISQiIiIy\\\n",
       "wRFCIlIKBkIiIiIiEwyERKQUDIREREREJhgIiUgpGAiJiIiITDAQEpFSMBASERERmWAgJCKl4Cqj\\\n",
       "RERERERECsURQiIiIiITHCEkIqVgICQiIiKygEGPiJSAgZCIiIjIBEcIiUgpGAiJiIiITDAQEpFS\\\n",
       "MBASERERmWAgJCKlYCAkIiIiMsFASERKwW0niIiIiIiIFIojhEREREQmOEJIRErBQEhERERkgoGQ\\\n",
       "iJSCgZCIiIjIBAMhESkFAyERERGRCQZCIlIKBkIiIiIiEwyERKQUXGWUiIiIiIhIoThCSERERGTC\\\n",
       "nSOE1uoLIRxqh4jIFThCSERERGSiLBDa+3KFNm3auKQdIiJHcISQiIiIyIQ7RwhNRwJ9fHxQXFyM\\\n",
       "U6dOOdQOEZErMBASUa03d+5cT3eBiGoYZwJhSkoKoqKi5PLu3btjw4YNFZ5fXFzsXCeJiFyAgZCI\\\n",
       "iIjIhLMjhCkpKfLP33//fYXnbt26Vf6ZzxASkScwEBIRERG5SGRkpPxz9+7dK6x///33u7M7REQV\\\n",
       "YiAkIiIiMuHMCGFkZCSSk5MdukYZjg4SkadwlVEissuzzz4LSZKwaNGiCut+/PHHiI6Oho+PD7p1\\\n",
       "64bDhw8bHS8qKsKkSZNQt25dBAQEYOjQoUhLS3NTz4mIHOfOVUYvXLjAMEhE1QYDIRFVaOPGjTh4\\\n",
       "8KDRVChr1q1bh6lTp2L27Nk4evQo7rrrLsTHxyM9PV2u89JLL+HHH3/E+vXrsWvXLqSkpGDIkCHu\\\n",
       "vAUiIoe4MxDGxsbKP6tUKqjVaqjVavTu3dvVt0FEVCEGQiKyKTk5Gc8//zxWr14Nb2/vCusvXLgQ\\\n",
       "48ePx9ixY9G6dWssW7YMfn5++PLLLwEAOTk5+OKLL7Bw4UL069cPnTp1wvLly7F//34cPHjQ3bdD\\\n",
       "RGS3qtiD0GAwyK+9e/e6qOdERPZjICQiqwwGA0aNGoWXX34Zd955Z4X1S0pKkJCQgLi4OLlMpVIh\\\n",
       "Li4OBw4cAAAkJCRAp9MZ1WnVqhUaN24s1yEi8jR3jhAKIay+iIiqGheVISKr3n33XXh5eeGFF16w\\\n",
       "q35GRgb0ej3Cw8ONysPDw3H27FkAQGpqKjQaDYKDg83qpKamWm27uLjYaK+u3NxcO++CiIiIiKzh\\\n",
       "CCERAQBWr16NgIAA+bVr1y589NFHWLFiRaWnRLnC/PnzERQUJL8aNWrk6S4RUS3mzhFCIqLqhIGQ\\\n",
       "iAAADz/8MI4fPy6/9u/fj/T0dDRu3BheXl7w8vJCUlIS/vWvfyE6OtpiG/Xq1YNarTZbMTQtLQ0R\\\n",
       "EREAgIiICJSUlCA7O9tqHUtmzJiBnJwc+XX16tVK3S8RkS0MhESkFJwySkQAgDp16qBOnTry+wkT\\\n",
       "JuChhx4yqhMfH49Ro0Zh7NixFtvQaDTo1KkTtm/fjsGDBwO4/Rzi9u3bMXnyZABAp06d4O3tje3b\\\n",
       "t2Po0KEAgHPnzuHKlSvo0aOH1f5ptVpotdrK3CIRkd2c2YeQiKgmYiAkIovq1q2LunXrGpV5e3sj\\\n",
       "IiICLVu2lMv69++PRx55RA58U6dOxZgxY9C5c2d07doVixYtQn5+vhwig4KCMG7cOEydOhWhoaEI\\\n",
       "DAzE888/jx49eqB79+5Vd4NERDYwEBKRUjAQElGlXLx4ERkZGfL7xx9/HDdu3MCsWbOQmpqK9u3b\\\n",
       "Y+vWrUYLzXz44YdQqVQYOnQoiouLER8fj6VLl3qi+0REFjEQEpFSSIJrHBNRDZSbm4uFCxfyixgR\\\n",
       "WTRnzhzk5OQgMDDQofOioqKQkpKClJQUu8/Nzc1FZGQkIiMjkZyc7Ex3iYg8hovKEBERERERKRSn\\\n",
       "jBIRERGZ4JRRIlIKBkIiIiIiEwyERKQUDIREREREJhgIiUgpGAiJiIiITDAQEpFSMBASERERmWAg\\\n",
       "JCKl4CqjRERERERECsURQiIiIiITHCEkIqVgICQiIiIywUBIRErBQEhERERkgoGQiJSCgZCIiIjI\\\n",
       "BAMhESkFAyERERGRCQZCIlIKrjJKRERERESkUBwhJKIaSQjh6S4QUTVXmf9P5OXl2T3yl5eX5/R1\\\n",
       "iIg8jYGQiGqkvLw8zJ0719PdIKJqLC8vD0FBQQ6d07ZtW6SkpKBRo0YOX69t27YOn0NE5GmS4D+z\\\n",
       "E1ENZDAYkJKSgjp16ij6+Z3c3Fw0atQIV69eRWBgoKe74zH8HG7j53CbEAJ5eXmIjIyESuX40zED\\\n",
       "BgzAiRMnHDqnbdu22Lp1q8PXIiLyNAZCIqIaLDc3F0FBQcjJyVF0AODncBs/ByIichQXlSEiIiIi\\\n",
       "IlIoBkIiIiIiIiKFYiAkIqrBtFotZs+eDa1W6+mueBQ/h9v4ORARkaP4DCEREREREZFCcYSQiIiI\\\n",
       "iIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIqhGdTodp06ahbdu28Pf3R2RkJEaPHo2UlJQKz/34\\\n",
       "448RHR0NHx8fdOvWDYcPHzY6XlRUhEmTJqFu3boICAjA0KFDkZaW5q5bqZSK7sXU+vXr0apVK/j4\\\n",
       "+KBt27bYsmWL0XEhBGbNmoUGDRrA19cXcXFxOH/+vDtvodLmz5+PLl26oE6dOqhfvz4GDx6Mc+fO\\\n",
       "VXhebfwsiIjIfRgIiYiqkYKCAhw9ehSvv/46jh49iu+//x7nzp3Dww8/bPO8devWYerUqZg9ezaO\\\n",
       "Hj2Ku+66C/Hx8UhPT5frvPTSS/jxxx+xfv167Nq1CykpKRgyZIi7b8lh9txLefv378fw4cMxbtw4\\\n",
       "HDt2DIMHD8bgwYNx8uRJuc6CBQuwePFiLFu2DIcOHYK/vz/i4+NRVFRUVbflsF27dmHSpEk4ePAg\\\n",
       "tm3bBp1Oh/vuuw/5+flWz6mtnwUREbmRICKiau3w4cMCgEhKSrJap2vXrmLSpEnye71eLyIjI8X8\\\n",
       "+fOFEEJkZ2cLb29vsX79ernOmTNnBABx4MAB93XeCRXdi6nHHntMDBw40KisW7du4plnnhFCCGEw\\\n",
       "GERERIR477335OPZ2dlCq9WKtWvXuuEO3CM9PV0AELt27bJaRymfBRERuQ5HCImIqrmcnBxIkoTg\\\n",
       "4GCLx0tKSpCQkIC4uDi5TKVSIS4uDgcOHAAAJCQkQKfTGdVp1aoVGjduLNepDuy5F1MHDhwwqg8A\\\n",
       "8fHxcv3ExESkpqYa1QkKCkK3bt2q1b1XJCcnBwAQGhpqtY5SPgsiInIdBkIiomqsqKgI06ZNw/Dh\\\n",
       "wxEYGGixTkZGBvR6PcLDw43Kw8PDkZqaCgBITU2FRqMxC5Xl61QH9tyLqdTU1ArvvazM3jarG4PB\\\n",
       "gClTpuDuu+9GmzZtrNZTwmdBRESuxUBIRORBq1evRkBAgPzas2ePfEyn0+Gxxx6DEAKffPKJB3tJ\\\n",
       "njZp0iScPHkS33zzjae7QkREtYyXpztARKRkDz/8MLp16ya/j4qKAvC/MJiUlIQdO3ZYHR0EgHr1\\\n",
       "6kGtVputGJqWloaIiAgAQEREBEpKSpCdnW00Sli+TnVgz72YioiIqPDey8oaNGhgVKd9+/Yu7L17\\\n",
       "TJ48GT/99BN2796Nhg0b2qxb2z8LIiJyPY4QEhF5UJ06ddC8eXP55evrK4fB8+fP4/fff0fdunVt\\\n",
       "tqHRaNCpUyds375dLjMYDNi+fTt69OgBAOjUqRO8vb2N6pw7dw5XrlyR61QH9tyLqR49ehjVB4Bt\\\n",
       "27bJ9WNiYhAREWFUJzc3F4cOHapW925KCIHJkydj48aN2LFjB2JiYio8p7Z+FkRE5EaeXtWGiIj+\\\n",
       "p6SkRDz88MOiYcOG4vjx4+L69evyq7i4WK7Xr18/8Z///Ed+/8033witVitWrFghTp8+LSZMmCCC\\\n",
       "g4NFamqqXOfZZ58VjRs3Fjt27BBHjhwRPXr0ED169KjS+7NHRfcyatQoMX36dLn+vn37hJeXl3j/\\\n",
       "/ffFmTNnxOzZs4W3t7c4ceKEXOedd94RwcHBYvPmzeK///2vGDRokIiJiRGFhYVVfn/2mjhxoggK\\\n",
       "ChJ//PGH0e+DgoICuY5SPgsiInIfBkIiomokMTFRALD42rlzp1yvSZMmYvbs2Ubn/uc//xGNGzcW\\\n",
       "Go1GdO3aVRw8eNDoeGFhoXjuuedESEiI8PPzE4888oi4fv16FdyV42zdS58+fcSYMWOM6n/77bei\\\n",
       "RYsWQqPRiDvvvFP8/PPPRscNBoN4/fXXRXh4uNBqtaJ///7i3LlzVXErTrP2+2D58uVyHaV8FkRE\\\n",
       "5D6SEEJ4ZmySiIiIiIiIPInPEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERERERGRQjEQ\\\n",
       "EhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEVGN8MUXX+C+++5z+3W2bt2K\\\n",
       "9u3bw2AwuP1aREREnsZASERE1V5RURFef/11zJ492+3XGjBgALy9vbF69Wq3X4uIiMjTGAiJiKja\\\n",
       "++677xAYGIi77767Sq735JNPYvHixVVyLSIiIk9iICQioipz48YNRERE4O2335bL9u/fD41Gg+3b\\\n",
       "t1s975tvvsFDDz1kVNa3b19MmTLFqGzw4MF48skn5ffR0dF48803MXr0aAQEBKBJkyb44YcfcOPG\\\n",
       "DQwaNAgBAQFo164djhw5YtTOQw89hCNHjuDixYvO3ywREVENwEBIRERVJiwsDF9++SXmzJmDI0eO\\\n",
       "IC8vD6NGjcLkyZPRv39/q+ft3bsXnTt3duqaH374Ie6++24cO3YMAwcOxKhRozB69GiMHDkSR48e\\\n",
       "RbNmzTB69GgIIeRzGjdujPDwcOzZs8epaxIREdUUDIRERFSlHnjgAYwfPx4jRozAs88+C39/f8yf\\\n",
       "P99q/ezsbOTk5CAyMtLp6z3zzDOIjY3FrFmzkJubiy5dumDYsGFo0aIFpk2bhjNnziAtLc3ovMjI\\\n",
       "SCQlJTl1TSIiopqCgZCIiKrc+++/j9LSUqxfvx6rV6+GVqu1WrewsBAA4OPj49S12rVrJ/8cHh4O\\\n",
       "AGjbtq1ZWXp6utF5vr6+KCgocOqaRERENQUDIRERVbmLFy8iJSUFBoMBly9ftlm3bt26kCQJWVlZ\\\n",
       "Fbar1+vNyry9veWfJUmyWma6zcTNmzcRFhZW4TWJiIhqMgZCIiKqUiUlJRg5ciQef/xxvPHGG3j6\\\n",
       "6afNRufK02g0aN26NU6fPm12zHSa56VLl1zSx6KiIly8eBEdOnRwSXtERETVFQMhERFVqddeew05\\\n",
       "OTlYvHgxpk2bhhYtWuCpp56yeU58fDz27t1rVr5582Z8//33uHjxIt566y2cPn0aSUlJSE5OrlQf\\\n",
       "Dx48CK1Wix49elSqHSIiouqOgZCIiKrMH3/8gUWLFmHVqlUIDAyESqXCqlWrsGfPHnzyySdWzxs3\\\n",
       "bhy2bNmCnJwco/KBAwdiwYIFaN26NXbv3o2lS5fi8OHDWLVqVaX6uXbtWowYMQJ+fn6VaoeIiKi6\\\n",
       "k0T5dbaJiIiqqWHDhqFjx46YMWMGgNv7ELZv3x6LFi1y6XUyMjLQsmVLHDlyBDExMS5tm4iIqLrh\\\n",
       "CCEREdUI7733HgICAtx+ncuXL2Pp0qUMg0REpAgcISQiohrJXSOERERESsJASEREREREpFCcMkpE\\\n",
       "RERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhE\\\n",
       "RERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhE\\\n",
       "RERERKRQDIREREREREQK9f8A/cu72gl4fUoAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[35] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAcIRJREFUeJzt3Xd4VMXCBvD37CbZTU+AkEILvQZBSgQLXIgGDQJW5IJIsSGo\\\n",
       "FBtepVlQRBQuIteKIgpyPwQpooBUaVIEkSK9hU0BkkDaJrvz/cGTc7O7Z2t2s0nO+3uefWTnzJkz\\\n",
       "ZwHZNzNnRhJCCBAREREREZHqaPzdASIiIiIiIvIPBkIiIiIiIiKVYiAkIiIiIiJSKQZCIiIiIiIi\\\n",
       "lWIgJCIiIiIiUikGQiIiIiIiIpViICQiIiIiIlIpBkIiIiIiIiKVYiAkIiIiIiJSKQZCIiIiIiIi\\\n",
       "lWIgJCIiIiIiUikGQiIiIiIiIpViICQiIiIiIlIpBkIiIiIiIiKVYiAkIiKPbNq0CZIkYdOmTf7u\\\n",
       "CnnZ7t27ERQUhLNnz1b6tS9fvozQ0FCsWbOm0q9NRKRGDIREROTQvHnzsGDBAn93wyPffvstPvzw\\\n",
       "Q393AwBgNpsxY8YMNG7cGHq9Hu3bt8d3333n8vk5OTl48sknERMTg9DQUPzjH//Avn37bOotWbIE\\\n",
       "Q4YMQfPmzSFJEnr27Ol2X//1r39h0KBBaNSokdvnVlTt2rXx+OOP4/XXX6/0axMRqZEkhBD+7gQR\\\n",
       "EVVd7dq1Q506dWxGAs1mM4xGI4KCgqDRVM2fL/bt2xeHDh3CmTNn/N0VTJw4Ee+88w6eeOIJdOnS\\\n",
       "BStWrMDq1avx3Xff4ZFHHnF4rtlsxu23344DBw7gxRdfRJ06dTBv3jycP38ee/fuRfPmzeW6PXv2\\\n",
       "xN69e9GlSxf88ccfaN++vVujuH/88Qc6duyI7du3o1u3bp7eboUcOXIEbdq0wYYNG9CrVy+/9IGI\\\n",
       "SC0YCImIXJCfn4/Q0FB/d8Mv7AXC6qCqBMKLFy+icePGePLJJzF37lwAgBACPXr0wOnTp3HmzBlo\\\n",
       "tVq753///fcYOHAgli5digcffBAAkJWVhRYtWuDuu+/Gt99+K9c9f/486tWrB41G49Hv3fPPP4/l\\\n",
       "y5fjzJkzkCTJsxv2gqSkJHTs2BFff/213/pARKQGVfNHukREPnTx4kWMHDkSCQkJ0Ol0aNy4MUaN\\\n",
       "GgWj0QgAWLBgASRJwubNm/HMM8+gbt26qF+/vnz+vHnz0LZtW+h0OiQkJGD06NHIycmxuMbx48fx\\\n",
       "wAMPIC4uDnq9HvXr18cjjzyC3Nxcuc66detw2223ISoqCmFhYWjZsiVeffVVp/135bzi4mJMnjwZ\\\n",
       "zZo1g06nQ4MGDfDSSy+huLjYpr1vvvkGXbt2RUhICKKjo3HHHXfgl19+AQAkJibir7/+wubNmyFJ\\\n",
       "ksUURHvPEC5duhSdOnVCcHAw6tSpgyFDhuDixYsWdYYNG4awsDBcvHgRAwYMQFhYGGJiYvDCCy/A\\\n",
       "ZDI5/QxWrFiBtLQ0+fewadOmeOONNyzO7dmzJ1avXo2zZ8/KfU9MTLTb5rBhw+R61q8pU6Y47ZOz\\\n",
       "/paUlOCZZ56RyyRJwqhRo3DhwgXs2LHD4fn//e9/ERsbi/vvv18ui4mJwcMPP4wVK1ZY/L42aNCg\\\n",
       "QiO2y5cvR69evWzCoL3PITExEcOGDZPfl/392bZtG5577jnExMQgKioKTz31FIxGI3JycjB06FBE\\\n",
       "R0cjOjoaL730EpR+Nn3nnXdi5cqViseIiMh7AvzdASKiypSeno6uXbvKz2O1atUKFy9exH//+18U\\\n",
       "FBQgKChIrvvMM88gJiYGkyZNQn5+PgBgypQpmDp1KlJSUjBq1CgcO3YMH3/8MX7//Xf89ttvCAwM\\\n",
       "hNFoRGpqKoqLi/Hss88iLi4OFy9exKpVq5CTk4PIyEj89ddf6Nu3L9q3b49p06ZBp9PhxIkT+O23\\\n",
       "3xz235XzzGYz+vXrh23btuHJJ59E69at8eeff+KDDz7A33//jeXLl8t1p06diilTpqB79+6YNm0a\\\n",
       "goKCsGvXLvz666+466678OGHH+LZZ59FWFgY/vWvfwEAYmNj7fZvwYIFGD58OLp06YLp06cjIyMD\\\n",
       "s2fPxm+//Yb9+/cjKipKrmsymZCamork5GTMnDkT69evx/vvv4+mTZti1KhRDj+HBQsWICwsDOPH\\\n",
       "j0dYWBh+/fVXTJo0CXl5eXjvvfcA3HgOLjc3FxcuXMAHH3wAAAgLC7Pb5lNPPYWUlBSLsrVr12LR\\\n",
       "okWoW7euXJadne2wb2XCw8Oh0+kAAPv370doaChat25tUadr167y8dtuu81uW/v378fNN99sE/S6\\\n",
       "du2KTz75BH///TeSkpJc6pcjFy9exLlz53DzzTdXuK2yP/tTp07Fzp078cknnyAqKgrbt29Hw4YN\\\n",
       "8fbbb2PNmjV477330K5dOwwdOtTi/E6dOuGDDz7AX3/9hXbt2lW4P0REZIcgIlKRoUOHCo1GI37/\\\n",
       "/XebY2azWQghxJdffikAiNtuu02UlpbKxzMzM0VQUJC46667hMlkksvnzp0rAIgvvvhCCCHE/v37\\\n",
       "BQCxdOlSu/344IMPBACRlZXlVv9dOW/hwoVCo9GIrVu3WpTPnz9fABC//fabEEKI48ePC41GI+67\\\n",
       "7z6L+xHif5+FEEK0bdtW9OjRw+Y6GzduFADExo0bhRBCGI1GUbduXdGuXTtRWFgo11u1apUAICZN\\\n",
       "miSXPfbYYwKAmDZtmkWbHTt2FJ06dXL8IQghCgoKbMqeeuopERISIoqKiuSytLQ00ahRI6ftKTl+\\\n",
       "/LiIjIwUd955p8WfAwAuvb788kuLfjRp0sTmGvn5+QKAeOWVVxz2JTQ0VIwYMcKmfPXq1QKAWLt2\\\n",
       "reJ59n7v7Fm/fr0AIFauXGlzDICYPHmyTXmjRo3EY489Jr8v+/uTmppq8eeoW7duQpIk8fTTT8tl\\\n",
       "paWlon79+op93L59uwAglixZ4nL/iYjIfZwySkSqYTabsXz5ctx7773o3LmzzXHrKXJPPPGExXNd\\\n",
       "69evh9FoxNixYy1Gap544glERERg9erVAIDIyEgAwM8//4yCggLFvpSNlK1YsQJms9nle3DlvKVL\\\n",
       "l6J169Zo1aoVsrOz5VfZ4hwbN24EcGNqoNlsxqRJk2xGnjx5dmzPnj3IzMzEM888A71eL5enpaWh\\\n",
       "VatW8udT3tNPP23x/vbbb8epU6ecXis4OFj+9bVr15CdnY3bb78dBQUFOHr0qNt9t5afn4/77rsP\\\n",
       "0dHR+O677yz+HKxbt86lV2pqqnxOYWGhPFpYXtnnVFhY6LA/FT3fVZcvXwYAREdHV7itkSNHWvw5\\\n",
       "Sk5OhhACI0eOlMu0Wi06d+6s+Hte1gdXR2SJiMgznDJKRKqRlZWFvLw8l6efNW7c2OJ92Z5sLVu2\\\n",
       "tCgPCgpCkyZN5OONGzfG+PHjMWvWLCxatAi33347+vXrhyFDhshhceDAgfjss8/w+OOP45VXXkHv\\\n",
       "3r1x//3348EHH3T4/Jcr5x0/fhxHjhxBTEyMYhuZmZkAgJMnT0Kj0aBNmzYufR7O2Pt8AKBVq1bY\\\n",
       "tm2bRZler7fpY3R0NK5ever0Wn/99Rdee+01/Prrr8jLy7M4Vv45TU898cQTOHnyJLZv347atWtb\\\n",
       "HLOeVuqK4OBgxec3i4qK5OO+PN9dwgvP7TVs2NDifdmf/QYNGtiUK/2el/XBnwvbEBGpAQMhEZEd\\\n",
       "FfmS/f7772PYsGFYsWIFfvnlFzz33HOYPn06du7cifr16yM4OBhbtmzBxo0bsXr1aqxduxZLlixB\\\n",
       "r1698Msvv9hdcdKV88xmM5KSkjBr1izFNqy/kPuLo1U1HcnJyUGPHj0QERGBadOmoWnTptDr9di3\\\n",
       "bx9efvllt0ZclcyePRvfffcdvvnmG3To0MHmuMFgcKmdyMhI+c9QfHw8Nm7cCCGERcC5dOkSACAh\\\n",
       "IcFhW/Hx8XLd8lw931Vl4deVUF7GXni09/urVK7URlkf6tSp43JfiIjIfZwySkSqERMTg4iICBw6\\\n",
       "dMij88s26T527JhFudFoxOnTp2028U5KSsJrr72GLVu2YOvWrbh48SLmz58vH9doNOjduzdmzZqF\\\n",
       "w4cP46233sKvv/4qT+m0x9l5TZs2xZUrV9C7d2+kpKTYvMpG8Jo2bQqz2YzDhw87vJ6rIzT2Pp+y\\\n",
       "Mm9tcr5p0yZcvnwZCxYswPPPP4++ffsiJSVFcZqju6NLW7duxQsvvICxY8di8ODBinXi4+Ndei1Z\\\n",
       "skQ+p0OHDigoKMCRI0cs2tq1a5d83JEOHTpg3759NmF3165dCAkJQYsWLdy6T3tatWoFADh9+rTi\\\n",
       "8WvXrtmUlY04e1tZH6wX4iEiIu9iICQi1dBoNBgwYABWrlyJPXv22Bx3Nk0uJSUFQUFBmDNnjkXd\\\n",
       "zz//HLm5uUhLSwMA5OXlobS01OLcpKQkaDQaedrflStXbNovCwVKUwPLuHLeww8/jIsXL+LTTz+1\\\n",
       "qVtYWCivmDpgwABoNBpMmzbNJmiUv7/Q0FCbbTWUdO7cGXXr1sX8+fMt7uGnn37CkSNH5M+nospG\\\n",
       "mMr30Wg0Yt68eTZ1Q0NDXZ5CeunSJTz88MO47bbb5JVKlXjyDGH//v0RGBho0UchBObPn4969eqh\\\n",
       "e/fuFv04evQoSkpK5LIHH3wQGRkZWLZsmVyWnZ2NpUuX4t5771V8vtAT9erVQ4MGDRT/fgCw2WLk\\\n",
       "p59+QlFRkU+2hti7dy8iIyPRtm1br7dNRET/wymjRKQqb7/9Nn755Rf06NFD3pLh0qVLWLp0KbZt\\\n",
       "22axLYK1mJgYTJw4EVOnTkWfPn3Qr18/HDt2DPPmzUOXLl0wZMgQAMCvv/6KMWPG4KGHHkKLFi1Q\\\n",
       "WlqKhQsXQqvV4oEHHgAATJs2DVu2bEFaWhoaNWqEzMxMzJs3D/Xr13e4/YAr5z366KP4/vvv8fTT\\\n",
       "T2Pjxo249dZbYTKZcPToUXz//ff4+eef0blzZzRr1gz/+te/8MYbb+D222/H/fffD51Oh99//x0J\\\n",
       "CQmYPn06gBvL/3/88cd488030axZM9StW1deoKa8wMBAvPvuuxg+fDh69OiBQYMGydtOJCYmYty4\\\n",
       "cZ7+tlno3r07oqOj8dhjj+G5556DJElYuHChYijp1KkTlixZgvHjx6NLly4ICwvDvffeq9juc889\\\n",
       "h6ysLLz00ktYvHixxbH27dujffv2ADx7hrB+/foYO3Ys3nvvPZSUlKBLly5Yvnw5tm7dikWLFllM\\\n",
       "o5w4cSK++uornD59Wt438cEHH8Qtt9yC4cOH4/Dhw6hTpw7mzZsHk8mEqVOnWlxry5Yt2LJlC4Ab\\\n",
       "z83m5+fjzTffBADccccduOOOOxz2tX///vjhhx9sprcCwJEjR3DPPfegX79+SE9Px+zZsxEZGYnt\\\n",
       "27fju+++w6BBg9z+bOxZt24d7r33Xj5DSETka/5Y2pSIyJ/Onj0rhg4dKmJiYoROpxNNmjQRo0eP\\\n",
       "FsXFxUKI/y2br7Q1hRA3tplo1aqVCAwMFLGxsWLUqFHi6tWr8vFTp06JESNGiKZNmwq9Xi9q1aol\\\n",
       "/vGPf4j169fLdTZs2CD69+8vEhISRFBQkEhISBCDBg0Sf//9t8O+u3qe0WgU7777rmjbtq3Q6XQi\\\n",
       "OjpadOrUSUydOlXk5uZa1P3iiy9Ex44d5Xo9evQQ69atk48bDAaRlpYmwsPDBQB5iwDrbSfKLFmy\\\n",
       "RG6vVq1aYvDgweLChQsWdR577DERGhpqc3+TJ08WrvzT9Ntvv4lbbrlFBAcHi4SEBPHSSy+Jn3/+\\\n",
       "2aY/169fF//85z9FVFSUAOBwC4oePXrY3UJCabsFd5lMJvH222+LRo0aiaCgING2bVvxzTff2NQr\\\n",
       "25Lj9OnTFuVXrlwRI0eOFLVr1xYhISGiR48ein9Gyz5DT+9j3759AoDNtiUAxPjx48VDDz0kgoOD\\\n",
       "RXx8vJg7d66YP3++CAkJEY8//rgQwv7fn7J+WW+ZovRn4ciRIwKAxd8ZIiLyDUkIH8zzICIiomqr\\\n",
       "d+/eSEhIwMKFC+UySZIwefJkTJkyxefXHzt2LLZs2YK9e/dyhJCIyMf4DCERERFZePvtt7FkyRJ5\\\n",
       "K5HKdPnyZXz22Wd48803GQaJiCoBnyEkIiIiC8nJyTAajX65du3atXH9+nW/XJuISI04QkhERERE\\\n",
       "RKRSHCEkIiIip7jkABFRzcQRQiIiIiIiIpViICQiIiIiIlIpThklomrJbDYjPT0d4eHhXImQiCwI\\\n",
       "IXDt2jUkJCRAo3H/Z9933nknDh065NY57dq1w7p169y+FhGRv3EfQiKqli5cuIDPPvvM390goipq\\\n",
       "6tSpOH/+POrXr+/WeXfeeSfWr1/v0TVTUlIYComo2uEIIRFVS+Hh4QDA0UEisqvs/xPucHdk0NNz\\\n",
       "lf7fVfYz+ueffx5z5sxRPI8/xycib2MgJKJqiUGQiJyp6P8nXD3f2yHt22+/9Wp7RESOMBASERER\\\n",
       "WZEkya1A6W4oLF/f+jpZWVmK/Sn7L0cJicibGAiJiIiIrHgSCA0GA+Lj4+Wy5ORkLF++3Kv9iouL\\\n",
       "82p7REQMhERERERW3A2EZQwGg/zrFStWeKUvd955p/zrS5cueaVNIqIyDIREREREVjwNhOVH8JKT\\\n",
       "kyvcj+eff15e9ZSjg0TkCwyERERERFY8CYRxcXFeHcErv9pocHAwRweJyCfc362ViIiIiHyqfBgM\\\n",
       "CgpCQUGBn3tERDUVAyERERGRlbIRQldf7mratKnNuWXvrfchLCkpgUajgUajwWOPPeaV+yMiKsNA\\\n",
       "SERERGTF14Hw1KlTdo9Zb0ovhJBfX3/9tdvXIiJyhM8QEhEREVnxNOi5insJElFVwUBIREREZMXX\\\n",
       "gZCIqKpgICQiIiKywkBIRGrBZwiJiIiIiIhUiiOERERERFY4QkhEasERQiJy2TvvvANJkjB27FiH\\\n",
       "9ZYuXYpWrVpBr9cjKSkJa9assTguhMCkSZMQHx+P4OBgpKSk4Pjx4z7sORGRe3y9yigRUVXBQEhE\\\n",
       "Lvn999/xn//8B+3bt3dYb/v27Rg0aBBGjhyJ/fv3Y8CAARgwYAAOHTok15kxYwbmzJmD+fPnY9eu\\\n",
       "XQgNDUVqaiqKiop8fRtERC5hICQitWAgJCKnrl+/jsGDB+PTTz9FdHS0w7qzZ89Gnz598OKLL6J1\\\n",
       "69Z44403cPPNN2Pu3LkAbowOfvjhh3jttdfQv39/tG/fHl9//TXS09OxfPnySrgbIiLnGAiJSC0Y\\\n",
       "CInIqdGjRyMtLQ0pKSlO6+7YscOmXmpqKnbs2AEAOH36NAwGg0WdyMhIJCcny3WUFBcXIy8vz+JF\\\n",
       "ROQrDIREpBYMhETk0OLFi7Fv3z5Mnz7dpfoGgwGxsbEWZbGxsTAYDPLxsjJ7dZRMnz4dkZGR8qtB\\\n",
       "gwbu3AYRERERKWAgJCK7zp8/j+effx6LFi2CXq/3a18mTpyI3Nxc+XX+/Hm/9oeIajaOEBKRWnDb\\\n",
       "CSKya+/evcjMzMTNN98sl5lMJmzZsgVz585FcXExtFqtxTlxcXHIyMiwKMvIyEBcXJx8vKwsPj7e\\\n",
       "ok6HDh3s9kWn00Gn01X0loiIXMKgR0RqwRFCIrKrd+/e+PPPP/HHH3/Ir86dO2Pw4MH4448/bMIg\\\n",
       "AHTr1g0bNmywKFu3bh26desGAGjcuDHi4uIs6uTl5WHXrl1yHSKiqoCjg0SkBhwhJCK7wsPD0a5d\\\n",
       "O4uy0NBQ1K5dWy4fOnQo6tWrJz9j+Pzzz6NHjx54//33kZaWhsWLF2PPnj345JNPAEDex/DNN99E\\\n",
       "8+bN0bhxY7z++utISEjAgAEDKvX+iIjscSfsMRQSUXXGQEhEFXLu3DloNP+bbNC9e3d8++23eO21\\\n",
       "1/Dqq6+iefPmWL58uUWwfOmll5Cfn48nn3wSOTk5uO2227B27Vq/P6dIRFSGgZCI1EISQgh/d4KI\\\n",
       "yF15eXmYNWsWv4gRkaIpU6YgNzcXERERbp0XHx8Pg8GAOnXqWPywyxGz2Yzs7GzExcXh0qVLnnSX\\\n",
       "iMhv+AwhERERERGRSnHKKBEREZEVThklIrVgICQiIiKywkBIRGrBQEhENd7kyZP93QUi8qKpU6f6\\\n",
       "/BoMhESkFgyERERERFYYCIlILRgIiYiIiKwwEBKRWnCVUSIiIiIiIpXiCCERERGRFY4QEpFaMBAS\\\n",
       "ERERWWEgJCK1YCAkIiIissJASERqwUBIREREZIWBkIjUgoGQiIiIyAoDIRGpBVcZJSIiIiIiUimO\\\n",
       "EBIRERFZ4QghEakFAyERERGRFQZCIlILBkIiIiIiKwyERKQWDIREREREVhgIiUgtGAiJiIiIFDDo\\\n",
       "EZEacJVRIiIiIiIileIIIREREZEVThklIrVgICQiIiKywkBIRGrBQEhERERkhYGQiNSCgZCIiIjI\\\n",
       "CgMhEakFAyERERGRFQZCIlILBkIiIiIiKwyERKQW3HaCiIiIiIhIpThCSERERGSFI4REpBYMhERE\\\n",
       "RERWGAiJSC04ZZSIiIjISlkgdPXljfbLO378uFeuQ0TkDAMhERERkRVfB0JnWrRooVh+5513ev1a\\\n",
       "RKRuDIREREREVnwdCIUQ8sva8ePHberVqVMHALB+/XrPb4qISAEDIREREVEVojQ6mJWV5YeeEJEa\\\n",
       "cFEZIiIiIiueLCpjMBgQHx8vlycnJ2P58uW+6B4RkdcwEBIRERFZ8XSVUYPBIP96xYoVXu8XEZG3\\\n",
       "MRASERERWfE0EMbFxcm/Tk5O9nq/iIi8jYGQiIiIyIongTAuLg6XLl2q8LX//vtvm+cIy09FJSLy\\\n",
       "JgZCIiIiIiu+3pi+adOmOHXqlGI75VcetW47JSXF7WsRETnCVUaJiIiIKpl1GLT2999/K5avW7fO\\\n",
       "F90hIhXjCCERERGRFV+PECrtP1he8+bNndYhIvIGBkIiIiIiBZ4EPSKi6oaBkIiIiMiKr0cIiYiq\\\n",
       "CgZCIiIiIisMhESkFgyERERERFYYCIlILRgIiYiIiKwwEBKRWnDbCSIiIiIiIpXiCCERERGRFY4Q\\\n",
       "EpFaMBASERERWWEgJCK1YCAkIiIissJASERqwUBIREREZIWBkIjUgoGQiIiIyAoDIRGpBVcZJSIi\\\n",
       "IiIiUimOEBIRVWH2Rh6EEJXcE/8xGo3Q6XQen+/ss9JoNKr6PNV0rxXBEUIiUgsGQiKiaiYwMNDf\\\n",
       "XahUOTk5Hp/ryhd1BiRSwkBIRGrBQEhEVM0UFhb6uwuV6vDhwx6fm5mZ6fB4fn6+x21TzcZASERq\\\n",
       "wUBIRFRNBAUFIT8/H1qt1t9dqVSJiYkende3b1/UqVPHYZ2IiAiP2qaaj4GQiNSCi8oQkV3Tp09H\\\n",
       "ly5dEB4ejrp162LAgAE4duyY0/OWLl2KVq1aQa/XIykpCWvWrLE4LoTApEmTEB8fj+DgYKSkpOD4\\\n",
       "8eO+uo1qTQghv4qLixEQoL6f4zkKhLm5uRafkRACRqMRQgisXLnSYbu7du2C2Wz2qE/BwcHo0aMH\\\n",
       "9Hq9R+dT1VcWCF19ERFVVwyERGTX5s2bMXr0aOzcuRPr1q1DSUkJ7rrrLofT7LZv345BgwZh5MiR\\\n",
       "2L9/PwYMGIABAwbg0KFDcp0ZM2Zgzpw5mD9/Pnbt2oXQ0FCkpqaiqKioMm6LqqElS5ZYvA8JCYEQ\\\n",
       "QnGEz5VnLHfu3IlbbrnFo76YzWYUFBRg06ZNKCwshBAC8fHxHrXlC5s2bZL7qMYfIBARkXskwafp\\\n",
       "ichFWVlZqFu3LjZv3ow77rhDsc7AgQORn5+PVatWyWW33HILOnTogPnz50MIgYSEBEyYMAEvvPAC\\\n",
       "gBujPLGxsViwYAEeeeQRl/qSl5eHWbNmufST+cmTJ7vUJlV9xcXFFVpxtLS0FDqdzuORweLiYgQF\\\n",
       "BSkeCw8Px/Xr1z3uW0Xp9XrF50sTExNx9uxZ+X1N+Gd/6tSpTutMmTIFubm5bk8Ljo+Ph8FgQK9e\\\n",
       "vVwO1KWlpfj1118RFxeHS5cuuXU9IiJ/4wghEbksNzcXAFCrVi27dXbs2IGUlBSLstTUVOzYsQMA\\\n",
       "cPr0aRgMBos6kZGRSE5OlusoKS4uRl5ensWLqr7i4mIEBgZCo9FgypQpFW6vImEwKCgIgYGBHofB\\\n",
       "sjbs8eefSUmS7C42dObMGY4UeoBTRolILRgIicglZrMZY8eOxa233op27drZrWcwGBAbG2tRFhsb\\\n",
       "C4PBIB8vK7NXR8n06dMRGRkpvxo0aODprVAl+fnnn6HX61FaWgohBKZOnYpFixb5pS9BQUEoKSmp\\\n",
       "UBtdu3Z1eNyfocBkMjk8XlJSgrCwsErqTc3AQEhEasFASEQuGT16NA4dOoTFixf75foTJ05Ebm6u\\\n",
       "/Dp//rxf+kGuEUKgT58+NuVDhw51eF5ubi7+/PNPr/enomEQuPHcoTMTJkyo8HXcVVRU5FIguXbt\\\n",
       "WoVGR9WIYZCI1ICBkIicGjNmDFatWoWNGzeifv36DuvGxcUhIyPDoiwjIwNxcXHy8bIye3WU6HQ6\\\n",
       "REREWLzIO7KysqDRaKDRaLy2L5+9hV0cbZkRGBiIqKgotG/fHpIkOX3WTQiB1atXo7i42Gl/nC36\\\n",
       "Uq9ePWRmZsJsNkMIAZPJhOXLl0Oj0UCv17scumbOnOm0jj1hYWG47777cN9996F+/fpOF8d5+OGH\\\n",
       "IYRwaxotw4vrOEJIRGrBQEhEdgkhMGbMGPzwww/49ddf0bhxY6fndOvWDRs2bLAoW7duHbp16wYA\\\n",
       "aNy4MeLi4izq5OXlYdeuXXIdqlzLli2Tt2w4evRohdu7cuWK3SmMBw4cUCy/cOECSktLLcqioqLs\\\n",
       "XuPChQvQaDTo27cv9Ho9vvrqK4d9Sk9Px8GDBxEREYGgoCA0aNAAGzdulAPghQsXEBMTI3+x12g0\\\n",
       "6N+/P0wmEwoLC90KXfbu0Z6oqCgIIXDt2jUsW7YMy5Ytw/nz5+XtM+y9rFdeJSIi8gSfMiciu0aP\\\n",
       "Ho1vv/0WK1asQHh4uPyMX2RkJIKDgwHcmAJYr149TJ8+HQDw/PPPo0ePHnj//feRlpaGxYsXY8+e\\\n",
       "Pfjkk08A3Pip+9ixY/Hmm2+iefPmaNy4MV5//XUkJCRgwIABfrlPtXvqqafQuXNnBAQE4KabbnJa\\\n",
       "XwiB0NBQFBYWIjg4GH/99Zf8w4KtW7faXYEWAFq3bq1YPnLkSJuya9eu2W3H+hnSYcOGYf369Vi4\\\n",
       "cKHdc5KSkuSFkXypffv2yM3NRWRkpNO6QUFBuHr1qs/7RO7jxvREpBYMhERk18cffwwA6Nmzp0X5\\\n",
       "l19+iWHDhgEAzp07B43mf5MNunfvjm+//RavvfYaXn31VTRv3hzLly+3WIjmpZdeQn5+Pp588knk\\\n",
       "5OTgtttuw9q1a7nJtx916tTJ5brlf78LCwvRpEmTCl//7bffxi+//GJRVrt2bcW67du3Vyz/5ptv\\\n",
       "HAbCyhQREQEhBAICAhwu+OLKdFfyDwZCIlILBkIissuV/co2bdpkU/bQQw/hoYcesnuOJEmYNm0a\\\n",
       "pk2bVpHukR84WxTGU0qBNCsrS7Guo0VnOnTogD/++MNb3aqwsn0PjUajzbGEhAQ/9KhmhJeJEyc6\\\n",
       "3ALEGxgIiUgt+AwhERG5rKIjcGVTjZUIITB79myMGTPG483TDxw4gICAgCq1OXhxcbHifV+8eNEP\\\n",
       "vSFXcVEZIlILjhASEZFLLl++XOE2ylbrtBf4nnvuuQpfw2QyWYy+lZaWOlzdtDIUFBTg8OHD6NCh\\\n",
       "A/R6PXJycvzaH3KOI4REpBYcISQiIpfUqVPHa21VZNuQ6Ohot+oHBFSNn322adMGRqMReXl5Fs9h\\\n",
       "2lNaWoqAgABIkoRnn322EnpI5XGEkIjUgoGQiIic2rZtm1fbc7SCqDNXrlyp9C/gJSUllT6qFxgY\\\n",
       "KC9IM3fuXHTo0KFSr09EROrAQEhERE7dfvvtXm0vLS2tQuebzWa8//77XuqNYwEBAQgKCkJ0dDQk\\\n",
       "SXK4aqi3KAXmAwcO4MiRI4r1K6NPasMRQiJSCwZCIiKqVF27dsWqVasq3M748eMhhMCQIUMc1rO3\\\n",
       "fYUrVq5caRO2XJmC6umiOGXsraDZpk0bPPzwwzCZTLh+/Tpq1aoFSZLkqaXc09B7GAiJSC0YCImI\\\n",
       "yKsCAgJw+fJlmM1mmEwmZGVl4eDBgygoKIAQArt27fLq9RYuXAiz2ay4BYpWq0V2drbHbY8bN06x\\\n",
       "fPXq1Yrlw4YNgyRJ0Gg0FdoWQafT2T22dOlSBAQEIDw83CYAxsfHe3xNssRASERqwUBIREROXb9+\\\n",
       "3aV6J06cQElJiTxypdFoUKdOHSQlJTnccqKiJElCjx49IIRASUkJjhw5AqPRiNLS0gq1O2PGDMXy\\\n",
       "vn372pTFxsbiq6++kt+XlJTg008/VTy/bNN6SZLs7keotHehMyEhIW6fQ8oYCIlILRgIiYjIqdDQ\\\n",
       "UAgh0KpVK8Xj0dHREEKgadOmldwzWwEBAWjVqhUCAwMr3Nb9999v95gkSdiwYQP2798PjUaDzMxM\\\n",
       "mzpPPfWU4rkajUaeinrp0iXF0cTAwEBcuXLFrf5WZDSULDEQEpFaMBASEZHLjhw5AiEEhBAwmUww\\\n",
       "mUwQQrgdXKqTxx9/3O6xlJQU3HzzzXafGVQqVyorKSlRPD86Otrl5y2NRqNL21mU/f5V55dOp2NA\\\n",
       "IyLyEgZCIiLyiEajcSmAVHeffvqpxwFDq9XalLnbVlpamsNnCmvXrg0hhFdGROl/OEJIRGpR8/8l\\\n",
       "JyKiKsdsNlf4+b7K5OlCOKdOnVIsb9mypcX78PBwh+0UFRUplhsMBk4T9REGQiJSCwZCIiKqNP/+\\\n",
       "978hSRK0Wi0CAwPlhWe2b9/u764BALKysiy+5BcUFACAR5vCz58/Hw0bNlQ8dvToUaSnp6NNmzbY\\\n",
       "tm0b8vLynLZnNptRq1YtaDQajBgxAkIIxMbGut0vcg0DIRGphfPNlIiIiLzg3XffxSuvvGJTLoTA\\\n",
       "rbfealOu0WjQuHFj7Nu3DxERET7v3+nTp9GkSROLstDQUKSnp6N27drQarVON4CXJAk5OTku9Tc+\\\n",
       "Ph5//fWXy/2TJAmXL192uT5VjDtBj4GQiKozjhASEZFHTCYTzGazy3WVwqAjZrMZJ0+eRGRkpDyq\\\n",
       "2K5dO7Rs2VIeXQwMDERWVpbDdsq2d5AkCfPmzbNbzzoMllm6dCkCAwPRvn17h9dp3bo1zGZzpYRX\\\n",
       "8j2OEBKRWjAQEhGRW06dOgVJkhAQEACtVot7773X6TkBARWfkGI2m/HXX3/h77//lp8/LC0tRd26\\\n",
       "dTFo0CDFc8pv7wAAo0ePRlxcnE29+fPn273umDFjIEmSw+cItVotDh8+7OqtEBERVRkMhERE5JIT\\\n",
       "J05Ao9HY7DXobFsEb4RBZxYvXmyz4ukdd9yhuMVDRkYGtFqtPLp5+vRpjBo1SrHd8+fPy+0GBgYi\\\n",
       "OjpasZ6zBXJuuukmOUT//vvvTu+H/I8jhESkFgyERERk48SJE9Dr9RZfeJs3b253vz17ZsyY4fS5\\\n",
       "O28RQkCv1+Pvv/9Go0aNsHXrVrt1zWYztFotJEmyO1W0X79+qF+/vkWZ0n6LzsLgN998g4MHDwK4\\\n",
       "MXW2a9eukCQJV69edXZL5Ge+CoP/+c9/FNs5fvy4D+6CiMgxBkIiIpW4evUqsrOzHYa64uJiOfwV\\\n",
       "FxdX+Jovv/xyhdtwR3FxMVq2bIlz58553Eb37t0hhMCKFSsUjwshsH37duzcuRNCCMW9BssbMWKE\\\n",
       "YnmtWrVw/fp1j/vpCUdTY8mSL0cIn376acXyFi1aeKPrRERuYSAkIqrh9uzZA0mSUKtWLcTExECj\\\n",
       "0UCSJDz77LMoKSmBEAKXL1+GTqeDXq/3d3f9asOGDfjtt9+c1uvWrRuSk5NdatNRAHe2/6C3mEwm\\\n",
       "SJJkd2os2aqMKaNCCPlFROQvDIRERDVcly5dFMvnzp2LoKAgaDQa1KlTB0aj0aP2o6Ki7B6bNWuW\\\n",
       "R236S69evbzeZp8+fbzeprsq4znOmsaTQGgwGBAfHy+/BgwY4PQa5f9LROQPDIRERFXYoUOHPA5q\\\n",
       "AHDt2jUv9kaZ0qqdZcaNG4e//vpLnlbp6mjK+fPn5ZGTBg0aOK3vjS/UjrakqIiVK1f6pF0hhLyl\\\n",
       "hqPgzdEnz3g6QmgwGOSXvWnHq1evtrhOGf5eEZE/MBASEVVhSUlJ0Ol0NitouqoypiReunTJ4fE2\\\n",
       "bdqgtLQUQgiYzWaYzWYIIWAymVC7dm2Lul26dIEQwmIxl3PnziE4OFix7VGjRsntuvLMo6Pn/Xw5\\\n",
       "nVJpMRrgRnjwVHh4uLxgz4QJE9C9e3fFegwZlSsuLk5+9e/fX7FOWlqaYjlHConIHziHhIioGhBC\\\n",
       "oHXr1jhy5IhH53ryRbO0tNQiQPXo0QNbtmyxqZebm+t228CNPQKzs7NdqltQUIC+ffvKIysBAQEo\\\n",
       "KSmxqBMUFASz2awYnk0mk015SUkJtmzZgjvuuAOBgYF2r33gwAF06NDBoqyoqAg6nc6lvgNAdHS0\\\n",
       "HMyMRiMCAgI8Dvll8vPzLd7v2LEDDRo0wPnz5y3KK3odtXLn2cCyenFxcU5/QFJe+bDOMEhE/sJ/\\\n",
       "JYiIqokNGzZ4fK4QwuVgEBAQoLh65ubNmz2+vjesWrVKHg20DoNlJEmyGI2TJEkxDAI39hXs3bu3\\\n",
       "wzAIwCYMAoBer/d4i4Cy5zYrynp0FQAuXLigWNcbK8aqDfchJCK1YCAkIqoG1q5di4SEhAq1sXHj\\\n",
       "RvnXBoPBYoXD8i97YQtAldg7z9mX77LRuLLwWJHw5ShI+XuLAHtba1y+fNmmrGz0tHnz5r7uVo1R\\\n",
       "GYGQgZKIqgIGQiKiKqws2KSmpla4rfJ7n8XGxnrURlRUlM1ziU2bNq1Qv6oyZ3sMHjp0qJJ6Yisk\\\n",
       "JESxfPDgwYrlkiTh77//9mWXahRfBkJ7CyUNHTrUG10nInILnyEkIlKBq1evWjx/6OlzhQCQl5eH\\\n",
       "wMBAlJaWAgBOnDjhlT5WRc62a9i2bRvatWtXSb2xFRISgoKCAouyikwtpv/x5BlCV9kb3SUi8geO\\\n",
       "EBIRqYB1aPn9998r1N6xY8eg1+ur3T6DnnC0z6Krm9P7SteuXW3KyoI6ERGRKzhCSESkAunp6Rbv\\\n",
       "k5OTK7QdQZMmTVBYWFjRblULV69ehUajUfy8Onbs6Ice/c+oUaOwadMmv/ahpvLlCCERUVXCEUIi\\\n",
       "omrq+PHjFs8w/fXXX26dz/3pXGc2mxETE2NRtmvXLj/15n9ef/11xfLMzMxK7knNw1VGiUgtGAiJ\\\n",
       "iKqhK1eu2Kxy2a5dOxw8eNDlNjwJhGazGR06dEBkZKTiapa+VFBQgDVr1uDzzz9HRkZGpV4buBGy\\\n",
       "hBAoLCyEEEJxumZlKi0ttbtITGJiYuV2pgZiICQitWAgJCKqhqxHq8rcdNNNiuUXL160KXN3O4Ye\\\n",
       "PXpAq9XiwIEDyMvLQ506ddw631NffvklJElCaGgo0tLS8PjjjyMuLq7C0zVLSkqg1WrlL/R5eXku\\\n",
       "nafX6yt0XW/4/PPPHe6fWBZayXMMhESkFgyERETVkLtf9hMSEpCVlSV/cTWbzW6df+bMGWzZssWm\\\n",
       "PC0tza123GUymTBixAjFYxV5htFkMsl785WJjIz0uD0A+Prrr6HT6ZCUlFShdpwJDw/H448/7rRe\\\n",
       "dHS0T/tR0zEQEpFaMBASEVVD3377rWK5o43H69SpA7PZ7NGWE61atVIsX7t2rVvtuEtpZLNM+W00\\\n",
       "3GVvdG3hwoUetdeiRQs89thjMBqNOHTokN3Pt7i4GJGRkR5van/27Flcv37dpbq5ubnYs2ePR9ch\\\n",
       "IiL1YCAkIqrCWrVqhX/+858oKiqyKH/kkUcsRvyAG88Q+mrjcXsBx91pp+5q2LChYnlxcbHTUGsy\\\n",
       "meweszfCOnPmTNc7V87x48dtyqw3tS8qKoJer0deXh6OHz/udNN7JfaCuT1dunSB0Wh0+zrEEUIi\\\n",
       "Ug8GQiKiKuzYsWP47rvvEBwcjPr161scKz/iJ4TAn3/+6bN+KAUeANi5c6fPrlnGbDajcePGCAgI\\\n",
       "wIMPPgghBIKCguzWv/XWWyFJEgICAhQ3li8pKbF7bvfu3b3SZ+BGvyMjI1FUVIS9e/ciODjY5nhI\\\n",
       "SAiMRiPMZjPOnTuHOXPmOBwBtP7BgCt0Op3Fe3eDTlV8FRcXy3/u7b0qioGQiNSC+xASEVUTjqZP\\\n",
       "+lr9+vXRsGFDnDt3Ti4LDw9Hp06dfH5tSZJw6tQpl+pmZ2dj+/bt8nuTyYRly5bh/vvvl8uUQmKZ\\\n",
       "WbNmedTHqKgo5OTk2JTn5eXZBMHyCgsLbQLb888/D71eb/OM5KOPPupR3xz1j+xzJ+gxEBJRdcZA\\\n",
       "SFTNnT59Glu3bsXZs2dRUFCAmJgYdOzYEd26dasSqyFSzXH27FmYTCbs2LEDycnJDle59JeEhASb\\\n",
       "skGDBqG4uFh+7+jLu6Pw5sjVq1e9GgqKiooQGRmJ3NxcAEBGRga++eYbj9vLzc2F0Wh0OLJKthj0\\\n",
       "iEgNGAiJqqlFixZh9uzZ2LNnD2JjY5GQkIDg4GBcuXIFJ0+ehF6vx+DBg/Hyyy+jUaNG/u4ueUHL\\\n",
       "li393QVotVrcdttt/u6GXUrPDTp6lrC8s2fPVujaQghoNBqvbfeQl5cnP6PpjTZ1Op3f906sTjhC\\\n",
       "SERqwWcIiaqhjh07Ys6cORg2bBjOnj2LS5cuYe/evdi2bRsOHz6MvLw8rFixAmazGZ07d8bSpUv9\\\n",
       "3WWqoEaNGuHo0aMVbsdkMqFu3bpo27ZtjdynrnPnzjZlri7eYm8BG3f06tWrwm2U5+h5uH79+kEI\\\n",
       "4db2G7t37/ZW14iIqIZgICSqht555x3s2rULzzzzDBo0aGBzXKfToWfPnpg/fz6OHj2KJk2a+KGX\\\n",
       "5A1lgeDMmTMVbqu4uBgBAQHIysrC4cOHodFocPr06Yp3sgr56aefbMqsF5H5z3/+Y1PHWyM8mzZt\\\n",
       "8ko7ABAUFIRRo0bZPbZixQoAgF6vxz333OO169INXFSGiNSCgZCoGkpNTXW5bu3atStl4Q+q+vr0\\\n",
       "6WNT5ul+eFVVRESETZn1CNtzzz1nU8feKOLZs2fRpEkTrFy50um1//zzT5enp7pix44d+OCDDxT7\\\n",
       "9tZbb1m8L79oDnkHAyERqQWfISSqITIzM5GZmQmz2WxR3r59ez/1iKoapdGr0tJSZGdno06dOpXf\\\n",
       "IR+wty/izJkzMWHCBLz77ruK+/I1bdpU8bzExEQAN6ZnAsD169cRGhoqH8/MzESjRo082g7CkcOH\\\n",
       "D6N169YAgBUrVqBv374Wx1944QWL90qL6VDF8BlCIlILjhASVXN79+5Fu3btEB8fj/bt26NDhw7o\\\n",
       "2LGj/F+iMuWDTHnWP0SobPXq1ZO/fEdHRyvWyczMRGRkJIKDg7F48WK7baWnpyuWv/jiiwgICMDE\\\n",
       "iRMVjy9cuNCm7NChQzZlYWFhFqNCsbGxXg+DERERchgE4NJ0UEfPg06bNg2HDh3CJ598gltvvdUr\\\n",
       "fVQDjhASkVpwhJComhsxYgRatGiBzz//HLGxsfxiQnZdv34dWq3WIgDefvvtqFu3rt/6NHz4cIsQ\\\n",
       "l5OTA0mSsGrVKtxzzz3Iy8tDrVq1LPo8aNAgDBo0CK+//jqmTZtm0V7ZiJ4SR8G3S5cuNmUV2ffP\\\n",
       "UxqNRt5qooz13+n+/fvbnKe08mtwcDAKCgrk923btsUTTzzB/0e4iCOERKQWHCEkquZOnTqFGTNm\\\n",
       "IDk5GYmJiWjUqJHFi6g8k8kEIQRKS0shhMCWLVv82p8FCxYolvft2xcajQZRUVF2g9wbb7wBSZKQ\\\n",
       "kJCAmJgYaLVaj57hu+mmmxTL7733XrfbckVISAiuX7+O/Px83H333dBqtdBqtZgzZ47d/h88eBAA\\\n",
       "EBAQgOXLl9sct352UqPRWITB8soWKqrOL51O5/MRO44QEpFaMBASVXO9e/fGgQMH/N0NqmYcbcVg\\\n",
       "Npvx/PPPO93mQgiBQYMGISQkBCEhIWjZsiX+7//+T/EZPSX2prC669KlS8jOznY4AqjT6VBUVISS\\\n",
       "khKMGzcOGo0GkiRhypQp+OOPPxTPsR599Jay5xBDQkKwZs0alJaWorS0FM8++6zdc5KSkiCEsFkx\\\n",
       "tTyTyYS2bdti7NixXl3choiIajZOGSWq5j777DM89thjOHToENq1a4fAwECL42WLYRC5qiwszpkz\\\n",
       "BxERETZTGAHgxIkTaN68uUXZ33//jQcffNBuu02aNMHPP/+MwsJC3HzzzSgtLfVux+3QarUWz/nN\\\n",
       "mjULs2bNculcSZK8vl+jr0aTNBqN4nOP5BlOGSUitWAgJKrmduzYgd9++01x/zVJkjhSQG6x/oFC\\\n",
       "Xl4egoKCLEb9Pv74YzzzzDNut33q1CmbEOlrS5cudRhSnTGbzcjJybG72E2ZunXrIiMjQ34fGRmJ\\\n",
       "vLw8j69L/sdASERqwSmjRNXcs88+iyFDhuDSpUswm80WL4ZBKi8rKwv33HMPTpw4YbeO0qhdSUkJ\\\n",
       "zp07B+DGNFFPwqA/TJo0qUJhsExUVBQuXrxo97hGo7EIgwAUR1WpeuEzhESkFgyERNXc5cuXMW7c\\\n",
       "OMTGxvq7K1SFDRo0CHXr1sVPP/2E5s2b292ewZ6uXbtCCOH2ef7Spk0bTJ061WvtJSQkICkpSfGY\\\n",
       "vR+8PPfcczZld955p9f6RL7FQEhEasFASFTN3X///di4caO/u0FVnPXeffXq1XPr/Pr168v77lV1\\\n",
       "QUFB+Ouvv9w6x2Qy4eDBg/jmm2+wevVqXLhwwWYBl//7v/9DUFCQ/F6j0TgchZ89ezZCQkLk91qt\\\n",
       "Fr/88otb/fI2f+85WZ0wEBKRWvAZQqJqrkWLFpg4cSK2bduGpKQkm2fAlEYpqPrQaDQIDAzE9OnT\\\n",
       "MX78eI/auH79umJ5Tk4OoqKiLMoCAwMVV7LcuXMngBvbHtSuXRuXL1/2qC/eFBYWhlq1auHChQty\\\n",
       "0Onfv7/itgyONGrUSJ4SqyQgIAC9e/fGa6+9hpMnTyIsLAwRERHQaJz/TDU/P1/umyv1faGkpMQi\\\n",
       "yHp7kRwiIqreGAiJqrnPPvsMYWFh2Lx5MzZv3mxxTJIkBsJqTggBo9GICRMmYMKECdBoNLh69arN\\\n",
       "vnOObNiwQbG8UaNGNs+6BQQE2ARCSZIQEPC/fy7Onz9vMfLlD5IkIScnx+H2Ga4YN26cwzAI3Hiu\\\n",
       "8ueff8bBgwdx8eJFt0eD/BUEy5QPg+Q6LipDRGrBKaNE1dzp06ftvk6dOuWVa3z00UdITEyEXq9H\\\n",
       "cnIydu/e7bD+0qVL0apVK+j1eiQlJWHNmjUWx4UQmDRpEuLj4xEcHIyUlBQcP37co74528C6uLjY\\\n",
       "7alfVellzWw2IzIyEpIkYeXKlS59RkuXLlUsV1oFs7Cw0KZs8uTJFu+Dg4Nduq4vCSG8ErRmz57t\\\n",
       "cl2DwcAv/ipSE6aMrlmzpsr2jYiqDgZCohrq0qVLmDFjRoXbWbJkCcaPH4/Jkydj3759uOmmm5Ca\\\n",
       "morMzEzF+tu3b8egQYMwcuRI7N+/HwMGDMCAAQMs9kebMWMG5syZg/nz52PXrl0IDQ1FamqqxV5x\\\n",
       "5Fy/fv0gSRL0ej2uXr1qt96yZcvsHpMkCXl5eTCbzahfv75iHW+s1Omun376CUIImM1mu8HP3ecE\\\n",
       "reXm5nL6JNlVEwLhPffc4+8uEFE1wEBIVM2NGDFC8TVkyBC88cYbFW5/1qxZeOKJJzB8+HC0adMG\\\n",
       "8+fPR0hICL744gvF+rNnz0afPn3w4osvonXr1njjjTdw8803Y+7cuQBujOx8+OGHeO2119C/f3+0\\\n",
       "b98eX3/9NdLT091+9otuKC4uRq1atSBJks0UUJPJpDjqV15kZCS0Wq3drRVeeeUVm7LyU0hdFRIS\\\n",
       "gpEjR7r05blPnz4AHO+l2b59e6ftZGRkICAgQJ72+tVXX8mjx08//bRb/Vfa67M6aNmypb+7UC3V\\\n",
       "hEBYpqr3j4j8i4GQqJq7evWqxSs7Oxu7d+/Gpk2bMHPmzAq1bTQasXfvXqSkpMhlGo0GKSkp2LFj\\\n",
       "h+I5O3bssKgPAKmpqXL906dPw2AwWNSJjIxEcnKy3TbJdVFRUdBoNBg2bBh69OjhUXCztmrVKpuy\\\n",
       "b775RrFu/fr17U4pFUJg4sSJ+Oc//+nwerfffrtNmVJ4E0Lg2rVrdts5cuQI4uLi5EBpMpkwbNgw\\\n",
       "hIWFoUOHDjYrrzry448/IjU11eX6VcnRo0f93YVqqSYFQsD2foiIynBRGaJq7ocfflAsf+utt7B8\\\n",
       "+XI89dRTHrednZ0Nk8lks9VAbGys3S+ZBoNBsb7BYJCPl5XZq6OkuLgYxcXF8nul59/oBiEEvvrq\\\n",
       "K59e44EHHrB4HxQUhGPHjqFRo0bIyMhAfHy8zTmlpaWoVasWpk+fjiVLlqC0tFSx7UWLFtmUvfvu\\\n",
       "u5g/f75N+ZAhQ7BixQrFdjp37qxYXlBQgIMHDyoeUxIZGYl7773X5fpVUUBAgN3Pm2q2smnRTZs2\\\n",
       "9dpz5URUs3CEkKiGGjRoEDZt2uTvbnjN9OnTERkZKb8aNGjg7y6pivXnHRAQACEESkpK5MV7EhMT\\\n",
       "IUkS4uLi0LRpU5s2TCYToqKi0KBBA5SUlCgueBEfH6/4e2tvVdUff/zRbp8LCgpcuTWn3N1io2xl\\\n",
       "2NzcXIf7FFamkpISmy1GyLnqODpor0///ve/LRbcIiIqw0BIVEMdOHAAHTt2rFAbderUgVarRUZG\\\n",
       "hkV5RkYG4uLiFM+Ji4tzWL/sv+60CQATJ05Ebm6u/Dp//rzb90Oeu3DhguKXSHtTUpVGo0JDQy2+\\\n",
       "qN59990wm80QQqC0tBRCCKSnp9vtg70tJp544gmbsqFDh9ptxxfKwq4kSdBoNNDpdIiKipKfX3R0\\\n",
       "X5Xl6tWrDAJuqAlTRsv3Ky0trcr2k4j8i1NGiao5pc3KMzIysGLFCqSlpVkcnzVrllttBwUFoVOn\\\n",
       "TtiwYQMGDBgA4Ma2Bxs2bMCYMWMUz+nWrRs2bNiAsWPHymXr1q1Dt27dAACNGzdGXFwcNmzYgA4d\\\n",
       "OgC4Mf1z165dGDVqlN2+6HQ66HQ6t/pP3hUbG2t3dVlrZ8+etSkbN26c3fqu7CfYuXNn7Nq1y6b8\\\n",
       "s88+w4wZMxAdHQ3gxp/RhQsXutRPVzRv3tzhVDuz2ez0Wc169eph0aJFTp+fpKrDnaBXlYOWJEn8\\\n",
       "QQAROcRASFTN7d+/X7G8S5cuyMzMlL/Ae/qFZfz48XjsscfQuXNndO3aFR9++CHy8/MxfPhwADdG\\\n",
       "YurVq4fp06cDAJ5//nn06NED77//PtLS0rB48WLs2bMHn3zyidyPsWPH4s0330Tz5s3RuHFjvP76\\\n",
       "60hISJBDJ1VNWVlZEEI4/bP00UcfKZYr/fDCHUlJSYqBEABq1aoF4MYeic5WVXVX2UJI9kawy4Ko\\\n",
       "M4MHD4ZOp7N5/pKqpuoeCGNiYvzdBSKqJhgIiaq5jRs3+rT9gQMHIisrC5MmTYLBYECHDh2wdu1a\\\n",
       "eVGYc+fOWewT1717d3z77bd47bXX8Oqrr6J58+ZYvnw52rVrJ9d56aWXkJ+fjyeffBI5OTm47bbb\\\n",
       "sHbtWuj1erf75+yLmE6nq9Y/Ha9qXzTDwsKQn59v9/jAgQPx/fffKx4LDQ2t0LUdPS9YxtthsEx8\\\n",
       "fLzdP0fuLHD04IMPYt26dTYr8VLVU90DYXZ2tr+7QETVBAMhETk1ZswYu1NElRaueeihh/DQQw/Z\\\n",
       "bU+SJEybNg3Tpk3zVhdrLLPZjAsXLqBhw4b+7gqAGwu1BAYG4qOPPkJxcTHee+89pKenu7R4Sl5e\\\n",
       "njyS5y6TyeTydFVfmT17Np5//nmLMqPR6HY7d955Jw4dOoS2bdt6q2vkA9U1EJYfxS8bMa9K/SOi\\\n",
       "qoeLyhBVQ3369MHOnTud1rt27Rreffddu1P4qOqTJAkNGjSoUqOcpaWleOqpp/Dcc8/h/PnzLq+k\\\n",
       "2aRJE5fqlH0R12g06NSpE4YPH46goKCKdrvCyj8XW+bvv//2qK127drh5MmTFewRkbKylUQLCgow\\\n",
       "ZcoUuVxp6xYiIo4QElVDDz30EB544AF5f7TOnTsjISEBer0eV69exeHDh7Ft2zasWbMGaWlpeO+9\\\n",
       "9/zdZfKCRx991KuLpVS23NxcnDx5UnFLCuDGiqXlw6UQAvv27cO+ffsqq4tODR8+HF9++aX8viLb\\\n",
       "SjRr1gzXrl1DWFiYN7pGXlZdRwitTZ48GZMnT/Z3N4ioCuMIIVE1NHLkSJw6dQqvvvoqDh8+jCef\\\n",
       "fBK33347unTpgtTUVHz66ado2LAhfv/9dyxZsqTKTDekivH1ZvOVoVmzZsjJybEp/+c//1ll9uxz\\\n",
       "ZMGCBRbvW7RoUaH2wsPDK3Q++U5N2HaCiMgVHCEkqqZ0Oh2GDBmCIUOGALgx+lJYWIjatWsjMDDQ\\\n",
       "z70jX3D2pVOj0cBsNldSbzwXHR2NJUuW4OGHHwZwY/GL7777zs+9cl2HDh3wxx9/AIBHCyFZ27dv\\\n",
       "H26++eYKt0PeVVNGCImInOEIIVENERkZibi4OIbBGk5pv77g4GAIIWAymSCEwODBgy2Od+3aFUVF\\\n",
       "RSgpKUGnTp0sjgUEBODAgQP4v//7P5/229rAgQOh0WgQGhpa5ZbH1+l0uHDhAlatWqV4/MCBA8jN\\\n",
       "zQUAFBcXV/h6vXr1qnAb5H0cISQiteAIIRFRFVarVi3Exsbi/vvvlzdAt55aab0dwzfffINvvvlG\\\n",
       "sb3du3fLofK9997DCy+8AABo3769S3sMelPZohf+orRht8FgkLdUqVevnt3PJCoqymv9KAuXFVW2\\\n",
       "LUxcXJw8gkme8/UIob1zqtICUkSkDhwhJCKqwq5evYqjR4/i7bffxjvvvIOSkhKbOnfeeSfOnz/v\\\n",
       "UnvlA9jWrVu91s/qJDc3F0IImM1mCCEwb948tGzZEhkZGXIYLO/y5cs+75M7U32FEPjxxx8xePBg\\\n",
       "PPLII2jbti00Gg3i4+ORkZGBAwcOcEuLKi4yMtLfXSAikjEQEhFVI/aCQ8OGDSFJEvr06ePw/I4d\\\n",
       "O8q//vHHHy2mPLoaKv0tJSUFgwcP9mhUJjc3FxERERZlo0aNwtGjR1G3bl3Fc2rVquXzaa3x8fEu\\\n",
       "1UtJSYFGo0H//v3x7bffYsmSJTh8+LDNqNLRo0fttuHuVMiq+CouLpa3VrD3qihfThnNy8sDAJ/0\\\n",
       "m4jIXZwySkRUg/z888/Q6/UoKipSPH7ixAmL93q9HgEBAZAkSXH0saq5cuUKoqOjAdyYGnvkyBG0\\\n",
       "bdvWpS/SiYmJNmHQVZmZmT6dTpuZmYmAgAB07twZAwcORN++fdG4cWMEBNz4Z3r//v1uLTzDYFFx\\\n",
       "lbGojPV5/H0jIn/gCCFRNffYY49hy5Yt/u4GVSHFxcV47bXXbMo3bdqkWL+0tNTjMBgREYHc3Fxc\\\n",
       "u3YNXbp08agNV02YMEEOg2Vat24tT/00m80oKipCYWEhCgsLcfToUTRq1AgajQYRERE4ffp0ha5v\\\n",
       "7/PzFpPJhF27dmH8+PFo0aIFAgMD5VDCVUgrnycjhAaDAfHx8fJrwIABbl+TiKiyMRASVXO5ublI\\\n",
       "SUlB8+bN8fbbb+PixYv+7hJVAW+99Rbef/99+f25c+fwj3/8w6vXqFWrljwFMywsDLt370ZhYSHG\\\n",
       "jh2LNm3aoFatWm59wdVoNFi1ahWMRiMKCgowd+5cREREICQkBD/99BNmzpzp8HxJkqDT6aDX66HX\\\n",
       "69GyZUucOXMGpaWlinsfuqtHjx52j+3fv1+e8mc2m3Hx4kXodLoKX9NT9kaaCgsLK7kn1ZenU0YN\\\n",
       "BoP8WrFihcNrcKooEVUFDIRE1dzy5ctx8eJFjBo1CkuWLEFiYiLuvvtu/Pe//60WUwDJd1544QUM\\\n",
       "GTIE77zzDhITE73e/rFjx2zK9Ho9PvjgAxw6dAhZWVm4ePGiS3v16XQ6FBYWIi0tDYGBgQgODsbo\\\n",
       "0aORk5OD3Nxcp89GOuLNbQESEhJsyiIiItChQweL6yUkJOD69et+HfGxXo0WgN2tNMiWp4EwLi5O\\\n",
       "fvXv39+Pd0BE5BoGQqIaICYmBuPHj8eBAwewa9cuNGvWDI8++igSEhIwbtw4HD9+3N9dJD9ZtGgR\\\n",
       "Jk6c6PEIRK1atWymaQLA9u3bUadOHbvnSZIkr3xZWFiIkpIShISE2NQLCgqCyWRCUVERgoKCFNsp\\\n",
       "e46usjj6rC5evGjx5V+SJLujjwEBATCbzXZDYbNmzVBSUgKj0YimTZtWqM9KwsPDFa9JvhMXF4dL\\\n",
       "ly7Jr+XLl/u7S0RETjEQEtUgly5dwrp167Bu3TpotVrcc889+PPPP9GmTRt88MEH/u4eVSM///wz\\\n",
       "hBC4fPkyrly5Ik9rMxqNEEKgW7dubrUXEBCA/Px8CCFw5coVZGdnQwiB4uJiaDRV55+isiArSZLF\\\n",
       "lNvyzGYzFi1ahBkzZjgMfOXrW9c5efIkjh8/joCAAAQGBuLEiRNen+5dWFiIrKwsi7Lyq8ySY75c\\\n",
       "ZVTpGkRE/lJ1/hUmIo+UlJTg//7v/9C3b180atQIS5cuxdixY5Geno6vvvoK69evx/fff49p06b5\\\n",
       "u6tUhWm1Wjz88MO4du0ahBC46667FOsFBgZW+FrR0dGoXbt2hdtxx2+//YYLFy44rGO92fwLL7xg\\\n",
       "t+4///lPvPjiiy5f32w2Y+PGjfjPf/4DIQSaNGliUychIQFCCKfPSrpj4MCBXmtLbXwZCO2NQvNZ\\\n",
       "QiLyB247QVTNxcfHw2w2Y9CgQdi9e7fFs0xl/vGPf9h82SUCbgTB0tJSf3fDp2bOnCmHN0mS7O7l\\\n",
       "WLY3XHmSJHntS3rPnj3Rs2dPp/UmTJiACRMmALgRJBMSEpCRkeHRNT/66COPzqMbfDlyx/BHRFUF\\\n",
       "RwiJqrkPPvgA6enp+OijjxTDIHBj5KOiS+5TzfTcc8/5uws+V350XAiBu+++W7He5MmTFcsPHz7s\\\n",
       "k365QqPRwGAwIDQ01KPzW7du7eUeqUdlTBklIqoKGAiJqrlHH33UpVUciZT88MMP/u6Cz0VGRlq8\\\n",
       "X7t2rWK9yZMnKy5ss2vXLov3ZrMZt99+O2JiYnDo0CHvddSBkydPun1OUVGRYnn5rQ6q60un0/k8\\\n",
       "oDEQEpFaMBASEVVhL774ouJqkd5y5swZn7VtzRdT5HJzc/HVV185bPvo0aM2ZfamjRYXF+O7776T\\\n",
       "38fGxmL48OHy+9LSUmi1Wmzbtg3Z2dlISkqCJEkoLi6uwF04V7duXZfqSZKEdu3awWw2+3UfxJqA\\\n",
       "gZCI1IKBkIioCpsxYwby8vIU95TzloiICIfH7777bvlL74wZM+zWu3LlCpKSknDbbbdh+/btyMzM\\\n",
       "xFtvvSWv2ln234CAAJw4cUI+z2AwIDg4WL6GRqPBtWvXnPa7d+/eiIqKwrBhw6DRaOxuTxEaGmqz\\\n",
       "GI6jAPnII4/II1EGg8Hi2JYtWxTP0ev16NWrl9M+e8pe4Bg6dKjFyJnZbMaff/7JgEJERC7jojJE\\\n",
       "RNWARqOBEMInX/SvXbuGoqIixanH586ds5hi+fLLL6O0tBSvvvqqRb26detabHFw66232r2eyWRC\\\n",
       "8+bN7R4XQiAiIgKFhYUOp0P/+uuvNu1mZmYqjqYZjUYEBwejqKgIAQEB0Gq1dtt1pHv37naPbdy4\\\n",
       "EZIk4fr16x4/8+dIgwYNcP78efl9UVERRwF9yJ2RPwZwIqrOOEJIRFSNWD/P5i0NGzZULG/Tpo1N\\\n",
       "2b/+9S+L99euXbPZ784blDayd+b48eN2jxUWFiI3Nxf5+fke98mV53XDwsLkkU6tViuPXt500012\\\n",
       "n+tzxblz57B7924cOnRIfo6OfIdTRolILRgIiYiqka5du/qk3ezsbMXygoICxfLyU1gbNGjgkz55\\\n",
       "8syho5FJ4Mb0WKWFY9zh6oq9ZVM4hRAwmUw4ePAggoODUb9+fY+v3aVLF7Rt29bj88l1DIREpBYM\\\n",
       "hERE5PZG2eUDodL+fd7iaI/E++67T/51VFQUrly54rN+lJeYmFih8y9evFipi/mYzWYUFxfj5MmT\\\n",
       "+OCDDyrtutUdAyERqQWfISQiqkYuXbrk7y4AgMUom6PN25s2bQqTyWQ3AAUFBTlcpVOjsf9zy2XL\\\n",
       "lqG0tNTuYjK+pNVqPV7op2/fvhUOlY4IIVCnTh27AXncuHE+u3ZNwmcIiUgtOEJIRFSN3HHHHZV2\\\n",
       "LVenbNoLbY0aNcKJEydw+vRprFq1yub4F198gaKiIhQWFuLbb7+1OV72HJ4j/giDgOdbaMTGxuLH\\\n",
       "H3/0cm8sxcTEVNpoKRERVX8MhERE1cT3339vsV2Dt82bN8/ifXBwsEvn2Vuxs/yoYFpams3m4sOH\\\n",
       "D5dHYQYNGgQhBEpLS7Fy5UocOXLE7l6BVYEnfZswYQIMBoPPRpPKVqG9fPmyT9pXG04ZJSK1YCAk\\\n",
       "IqrC7r77bsTHx0OSJAwcONCn1xo9ejTCw8MxcOBAaDQau9M4rb/8lpSU2NS55557POqDVqtF3759\\\n",
       "0apVK4vyXr16WXz5XrRokUft27N69WpotVoEBwcr3k95rqw0qmTmzJkenWc2m5GRkeG0nrPRVHIP\\\n",
       "AyERqQX/9SAiqsLWrl1rszm6L12/fh3ff/+9wymRrVu3tnivNFo2f/58r/WpqKgIGzdutCgbMmSI\\\n",
       "19rPz89H3759YTabUVRUhKCgIFy4cEGx7uTJk+0GZV9Yu3YttFot4uLiIEkSfv/9d8V6DCTex0BI\\\n",
       "RGrBQEhEVM2EhIS4PJ3TF/7880+ndeLi4rx2vU2bNimWe7qoizWlvtrbSmPatGkeX8fdIFlaWoq7\\\n",
       "777boqxr166Ij4+XA3tWVhbDiI8wEBKRWjAQEhFVI0888QTy8/NRUFCA9957r9Kv3717d5emJgYG\\\n",
       "BnrtmvbCr7cC4fXr1yt0viRJ+Pnnn3Hx4kVERkbarefuVFN7n6HBYIBGo4EkSahbt65bbZLrGAiJ\\\n",
       "SC0YCImIqpFPPvlE/vULL7zg0jllUw1NJhPMZjMKCwsRExPj9rUDAwPx22+/Oa3n7WfZunXrZrc/\\\n",
       "jgQEBECSJMTGxnqtL+Wf5QsMDITRaITZbMZdd92FhIQE5OTkoGPHjnbPd7RFR5nVq1czYBARUaVh\\\n",
       "ICQiqkZOnz4t/3r58uVO6wshYDab0blzZ3lUSa/XIzMzE0II5OTkuHxto9GoWH716lX515999pnX\\\n",
       "Ru7KlN/zsDxHoUmSJLkfmZmZdqewtm3bVrHc3j3UrVtXXiXVaDQqhtJ9+/bZ7RcA+ffB3qtv374O\\\n",
       "z6fKwRFCIlILBkIiomqkSZMmWLx4MWbOnIn77rvPYd28vDyn7UVGRtos2OKuqKgoOSSNHDnS5vjs\\\n",
       "2bOh0WhQr169Cl3Hmr2AqhQglVbpFELg8OHDNuUhISEVGuVcs2aNx+e6q1WrVrh+/TpMJhMKCwsx\\\n",
       "f/58u9uAkHsYCIlILRgIiYiqmUGDBuHFF190Wi88PNyl9nr27IlmzZpVtFuKioqKMHbsWAghkJ6e\\\n",
       "7tUvzkrPFj7++ON2t40oH1aFEHZDX0WeKczOzkZaWprH57ujtLQUR44cQWhoKDQaDfR6PZ566imU\\\n",
       "lpZW6kqoNRUDIRGpBQMhERHh+PHjCA0NdVjHk5VD33zzTZuym266ye12lJjNZkiShOjoaHlU7/PP\\\n",
       "P7db/4svvoBWq0VgYKDDEUBPvtybzWYEBAR49GymJz799FOHI4FBQUE4duxYpfSlpmIgJCK1YCAk\\\n",
       "IiIAN0bGHC3UkpGR4XAVTSVPP/20TdnBgwfdasPZSpo5OTkoLCx0ulgLcCO4lZaW2j3eqlUrt/oG\\\n",
       "AG3atIFWq/X6s5OOPP74407rtGjRohJ6UrMxDBKRGjAQEhGRLDc31+HxvLw8my/Do0ePtlu/fv36\\\n",
       "NmXubEnx559/Iisry+X6FXXlyhXF8uvXr6OoqMiirKioCJIk4ciRI5XRNSIiIp9gICQiqqEKCwvd\\\n",
       "Pqf8iqGumjdvHsxms93j1s/rWQcrR+e1b9/e7f5URGZmJv7++28AN0YTy1YEDQ8PR3BwsEUQtrc/\\\n",
       "oq+5MjoIwOFIKDnHKaNEpBYMhERENdTtt9/uct2SkhL07NnT45VAnX0hNplM8kqkrq7gGRAQ4FFf\\\n",
       "Kqply5aQJAlardalaaiVSa/X49NPP3Wp7iuvvOLj3tRsDIREpBYMhERENdTevXud1imb9hgUFITN\\\n",
       "mzd7dJ3ExESvfyEu2z/RHYGBgThz5gxSUlK82peqokuXLm6N+s6aNcuHvan5GAiJSC0YCImIajB7\\\n",
       "WzCUqei0xxUrVuD06dMVakPJ+vXr3arftGlTFBcXo1GjRli3bh3uueceu3V79OhRoX0GJUnC3r17\\\n",
       "YTabIYSAyWRCUVERSkpK5FFQIYRLgdwdX3/9tVv1q9roZnXDQEhEauGf+ThERFQpQkND7W7gXpHA\\\n",
       "MmLECIdbPFTUv/71L7fqr1+/3uJL+erVq6HRaCxCUZ06dSwWqHH3S7wkSbh8+TKio6MtyjUaDXQ6\\\n",
       "nU39m2++GWfPnkWjRo3cuo49HTp0QEFBgUthtnv37l65ppq5E/QYCImoOuMIIRFRDVZSUoJx48Yp\\\n",
       "HhsxYoRHbR48eNCnYdBsNuPAgQMAboSt3bt3w2Qy4cSJE3bPKVsIxrqdsr36+vTpY7NaaYMGDVzq\\\n",
       "T2pqKsxmM8xms00YdKZhw4ZeCwvFxcXQarUYNmyYw3qvvfYaduzY4ZVrqhlHCIlILRgIiYhquA8/\\\n",
       "/FBxw/Q///zT7bYCAgKQlJRk93hmZiY6d+6M4OBgaLVau1+eNRoNunXrZrHNRUlJCbp37w6tVguj\\\n",
       "0YigoCCUlpaiS5cu0Gg0aNq0KTZs2KB43XvuuUdxVc3S0lKYzWb89NNPNsfatGnj8F67d+8OIQTW\\\n",
       "rl1boS/8v/zyi8fnKvnqq6/kz7B27dpo06YN4uPjERgYCEmS8NZbbzk8392gUxVfxcXFFtNzlV5E\\\n",
       "ROQaThklIlKB7OxsSJKEYcOG4fPPP0ffvn09+tJs7zm2jz76CGPGjHG5HSEEdu7ciaioKId1rINY\\\n",
       "586dFeuaTCYEBQUpLkRjL8zt3r1bsbxZs2Y4fvy43X65y1eL3AghcOXKFbt7J1LFcMooEakFAyER\\\n",
       "kYosWLAACxYs8OhcSZLwyCOP2JRbP6vnLUoL4jjal1AIAa1Wi+LiYnnLCqVQCQDnzp2z2HNRkiT8\\\n",
       "9ttv6Natmxd6bqukpASBgYE+aZt8g4GQiNSCU0aJiMiGVqvFbbfdhjvvvBNt27bFiy++iNLSUosv\\\n",
       "viaTCZIk+XR6XmhoqNz+Cy+8gLNnzzqsbzab5amTZdMqJUlCYGAgmjZtinr16kGj0Vgs9DJixAiY\\\n",
       "zWafhUHgxlRbk8nks/bJ+/gMIRGpBUcIiYjIxooVK5CWluawTkhIiM/74eqqms6Ulpbi1KlTisd8\\\n",
       "uUBOeRqNBmaz2Sv3Q77HEUIiUgv+q0RERDZuvvlmp3XsbWdB9kmShH//+99eb3fbtm3ySqiXLl2q\\\n",
       "8P6SxBFCIlIPBkIiIrKxevVqf3eh0igtRFMRBoNBDgllzzKWN3r0aK9dKyIiAkII3HrrrfI14+Li\\\n",
       "UFBQ4NE2GUREpD4MhEREZMOdFUOru6CgIK+2Fx8fL/+67DnL8oqKirxynZ49e1ps22FNkiRcuXIF\\\n",
       "QgicOXMG9913n8t7LxJHCIlIPfgMIRER2SguLvZ3FypNWWgbNWoUWrZsiVdeeUUObcXFxV4JjJIk\\\n",
       "4dKlS4iMjERYWFiF2tLpdLh+/bri6KM9jRo1wrJly+S+kHN8hpCI1IKBkIiIFNWtWxeZmZmKxw4c\\\n",
       "OFDJvfG9jz/+2KZMp9O5vYpq2eIx1sqPHHoiIiLC4YggeRcDIRGpBaeMEhGRoqysLISHh9sEolde\\\n",
       "eQUdOnSwKIuJiUFeXh7MZjOMRiMWLlyIsLCwGvFF2d1AWFBQ4PU+NG3a1GthUAhR7V86nc7nUzg5\\\n",
       "ZZSI1IKBkIgUlZSU4OWXX0ZSUhJCQ0ORkJCAoUOHIj093em5H330ERITE6HX65GcnIzdu3dbHC8q\\\n",
       "KsLo0aNRu3ZthIWF4YEHHkBGRoavbqVau+eee1C7dm2/Xf/69evyXn5lr3fffdeijl6vR2ZmJsLD\\\n",
       "w+U9/4YMGYJr167BbDbbfJk3mUyYPn26n+7IfQcPHnSrvk6ng06n82ofTpw44dX2yDkGQiJSCwZC\\\n",
       "IlJUUFCAffv24fXXX8e+ffuwbNkyHDt2DP369XN43pIlSzB+/HhMnjwZ+/btw0033YTU1FSLqYfj\\\n",
       "xo3DypUrsXTpUmzevBnp6em4//77fX1L1dLq1auRnZ0NIQSmTp3q7+4oSkpKcqu+RqPBK6+8AiFE\\\n",
       "tfgi3bdvX7fPuXbtmlf7UNGVUEtLS2E0Gr2+oioREVV/DIREpCgyMhLr1q3Dww8/jJYtW+KWW27B\\\n",
       "3LlzsXfvXpw7d87uebNmzcITTzyB4cOHo02bNpg/fz5CQkLwxRdfAAByc3Px+eefY9asWejVqxc6\\\n",
       "deqEL7/8Etu3b8fOnTsr6/aqpUmTJlXJAHXlyhWPz501a5YXe+IbBoPB7XMCAwO92oeK/N1YtmwZ\\\n",
       "dDod9Hq911dUrck4QkhEasFASEQuy83NhSRJiIqKUjxuNBqxd+9epKSkyGUajQYpKSnYsWMHAGDv\\\n",
       "3r0oKSmxqNOqVSs0bNhQrkP2VcURnpMnT3p87tixYyt8fV9/GS8tLfVp+6649dZbER4ejuzsbLfO\\\n",
       "+/jjj/HAAw/IU3dNJpOPeljzMBASkVowEBKRS4qKivDyyy9j0KBBiIiIUKyTnZ0Nk8mE2NhYi/LY\\\n",
       "2Fh5lMVgMCAoKMgmVJavo6S4uBh5eXkWL7Vyd5GTyhAZGenxufamCw8fPlx+7tB6xE2SJPlY+ecU\\\n",
       "fTUC1rFjR7fqJyYmer0P169fR0xMjFsB5JlnnvF6P9SEYZCI1ICBkIgAAIsWLUJYWJj82rp1q3ys\\\n",
       "pKQEDz/8MIQQikvzV4bp06cjMjJSfql9g22lDc/9KS8vD19++aVH5y5cuFCxvGyaMWC7cqe90WRv\\\n",
       "bfpu7Y8//nC57oIFC3D27Fmf9KM8Z/sQFhYW+rwPNVlljhAyXBKRPzEQEhEAoF+/fvjjjz/kV+fO\\\n",
       "nQH8LwyePXsW69atszs6CAB16tSBVqu1WTE0IyMDcXFxAIC4uDgYjUbk5OTYraNk4sSJyM3NlV/n\\\n",
       "z5/38E5rhrK97sxmM7Zu3Yrg4GB/dwkjRoxASUmJ2+eFhIQ4raPVai3eW297UcaXX6hfe+01p3Xq\\\n",
       "1auH4cOH+6wP5ZlMJmzfvl3xmBACoaGhldKPmqqyAiFDIBH5GwMhEQEAwsPD0axZM/kVHBwsh8Hj\\\n",
       "x49j/fr1Trc/CAoKQqdOnbBhwwa5zGw2Y8OGDejWrRsAoFOnTggMDLSoc+zYMZw7d06uo0Sn0yEi\\\n",
       "IsLiRTe+TN52220oKCiA0Wj0d3e8OmWz/PNub7/9tsWx69ev2z3PV9t0vPXWW3an6169ehWSJLm0\\\n",
       "LYs39evXD/Xq1UNAQIBFONFoNFVyanF1UhmBsGnTpl7uNRGR+xgIiUhRSUkJHnzwQezZsweLFi2C\\\n",
       "yWSCwWCAwWCwCB69e/fG3Llz5ffjx4/Hp59+iq+++gpHjhzBqFGjkJ+fL4+aREZGYuTIkRg/fjw2\\\n",
       "btyIvXv3Yvjw4ejWrRtuueWWSr/Pqi42NhZNmjTB1KlTnS4oExgYiJEjR1ZSz+z78MMPbcrq1Kkj\\\n",
       "f3GeMWOGxbHVq1crthMWFobS0lIcO3bMZnTurbfesnv98luclG9rz549OHfuHPr06ePCXSjTaDQW\\\n",
       "o9sFBQUICAhArVq1PG7TEwMHDkR6ejr69euH9PR0LhZTRRgMBsTHx8uvAQMGOKx/6tQpAFXzuWAi\\\n",
       "Ug9J8P9CRKTgzJkzaNy4seKxjRs3omfPngBuLJ4xbNgwTJkyRT4+d+5cvPfeezAYDOjQoQPmzJmD\\\n",
       "5ORk+XhRUREmTJiA7777DsXFxUhNTcW8efMcThm1lpeXh1mzZrn0k/nJkye73G5VY31/MTExioGn\\\n",
       "TFFRUZWYPlr+nxaj0ai4UXuzZs2g1+tx6NAht9uvU6cOsrKy7B43mUwYOHAghgwZYvdL+eTJkzFt\\\n",
       "2jS3r+0tWq0WeXl5CA4OxowZM/DKK684Pad9+/Y4cOCARZm7o1M14Z99V/bknDJlCnJzc92eTRAf\\\n",
       "Hw+DwYDly5e7PO02Pz/f7p8ze5932e9bSkoK1q1bJ7+vCb8/RFS9OH4inYhUKzEx0aUvJmfOnLEp\\\n",
       "GzNmDMaMGWP3HL1ej48++ggfffRRRbqoSllZWVi2bJndlTk1Gt9P/HjooYcwY8YM3HLLLTbPiyqx\\\n",
       "t0n7iRMnPO6Ds+mxWq0W//3vfx3WmTp1Kjp37ox+/fp53A9PaTQai+0sXn75ZWRnZ2PmzJl2z6lb\\\n",
       "t65NGARuLC5TFbbGqGncmQpavl75H2yV/0GYvfrr1q3zsIdERN7BKaNERNXMAw88YPeYo1EzbxBC\\\n",
       "4Pvvv0diYiIMBoNL03zt7VtZEQkJCV5p59577/VKO+5SCsnWU2mt2Qvfb775plf6RJY8eYYwLi4O\\\n",
       "ly5dkl/Lly93+Trl3//nP//x1W0REdlgICQiqkH279/vs7ZHjBhhU2ZvlcvyrFcI9YZ//OMfXmur\\\n",
       "Xr16XmvLVUorq3q6MMnjjz9e0e6QAl8uKuNs25ynnnqqIl0nInILp4wSEVVh7j5P1Ldv30p9Bqls\\\n",
       "g3hnqvJzURcuXPB3F2SefE61a9eu0p9vdeXplFFXnDt3zm4b/L0kosrGEUIiIiIiIiKV4gghERER\\\n",
       "kRVfjhAq4cggEfkLAyERERGRlcoOhERE/sJASERERGSFgZCI1IKBkIiIiMgKAyERqQUDIREREZEV\\\n",
       "BkIiUguuMkpERERERKRSHCEkIiIissIRQiJSCwZCIiIiIisMhESkFgyERERERFYYCIlILRgIiYiI\\\n",
       "iKwwEBKRWjAQEhERESlg0CMiNeAqo0RERERERCrFEUIiIiIiK5wySkRqwUBIREREZIWBkIjUgoGQ\\\n",
       "iIiIyAoDIRGpBQMhERERkRUGQiJSCwZCIiIiIisMhESkFgyERERERFYYCIlILbjtBBERERERkUpx\\\n",
       "hJCIiIjICkcIiUgtGAiJiIiIrDAQEpFaMBASERERWWEgJCK1YCAkIiIissJASERqwUBIREREZIWB\\\n",
       "kIjUgquMEhERERERqRRHCImIiIiscISQiNSCgZCIiIjICgMhEakFAyERERGRFQZCIlILBkIiIiIi\\\n",
       "KwyERKQWDIREREREVhgIiUgtuMooERERERGRSnGEkIiIiMgKRwiJSC0YCImIiIgUMOgRkRowEBIR\\\n",
       "ERFZ4QghEakFAyERERGRFQZCIlILBkIiIiIiKwyERKQWDIREREREVhgIiUgtuO0EERERERGRSnGE\\\n",
       "kIiIiMgKRwiJSC0YCImIiIisMBASkVowEBIRERFZYSAkIrVgICQiIiKywkBIRGrBQEhERERkhYGQ\\\n",
       "iNSCq4wSERERERGpFEcIiYiIiKz4coTQXn0hhFvtEBF5A0cIiYiIiKyUBUJXX97Qpk0br7RDROQO\\\n",
       "jhASERERWfHlCKH1SKBOp4PRaMSRI0fcaoeIyBsYCImoxps6daq/u0BE1YwngdBgMCA+Pl4uT05O\\\n",
       "xvLly52ebzQaPeojEZE3MBASERERWfF0hNBgMMi/XrFihdNz16xZI/+azxASkT8wEBIRERF5SVxc\\\n",
       "nPzr5ORkp/XT0tJ82R0iIqcYCImIiIiseDJCGBcXh0uXLrl1jTIcHSQif+Eqo0TkkqeffhqSJOHD\\\n",
       "Dz90Wvejjz5CYmIi9Ho9kpOTsXv3bovjRUVFGD16NGrXro2wsDA88MADyMjI8FHPiYjc58tVRo8f\\\n",
       "P84wSERVBgMhETn1ww8/YOfOnUhISHBad8mSJRg/fjwmT56Mffv24aabbkJqaioyMzPlOuPGjcPK\\\n",
       "lSuxdOlSbN68Genp6bj//vt9eQtERG7xZSBs0aKFxXU0Gg00Gg26d+/u7dsgInKKgZCIHLp48SKe\\\n",
       "ffZZLFq0CIGBgU7rz5o1C0888QSGDx+ONm3aYP78+QgJCcEXX3wBAMjNzcXnn3+OWbNmoVevXujU\\\n",
       "qRO+/PJLbN++HTt37vT17RARuawy9iAUQsivHTt2eKnnRESuYyAkIrvMZjMeffRRvPjii2jbtq3T\\\n",
       "+kajEXv37kVKSopcptFokJKSIn/R2bt3L0pKSizqtGrVCg0bNuSXISKqMnw5Qlg+BFq/iIgqGxeV\\\n",
       "ISK73n33XQQEBOC5555zqX52djZMJhNiY2MtymNjY3H06FEAN5ZkDwoKQlRUlE2d8su1WysuLkZx\\\n",
       "cbH8Pi8vz8W7ICIiIiJ7OEJIRACARYsWISwsTH5t3rwZs2fPxoIFCyo8Jcobpk+fjsjISPnVoEED\\\n",
       "f3eJiGowX44QEhFVJQyERAQA6NevH/744w/5tX37dmRmZqJhw4YICAhAQEAAzp49iwkTJiAxMVGx\\\n",
       "jTp16kCr1dqsGJqRkSHvzRUXFwej0YicnBy7dZRMnDgRubm58uv8+fMVul8iIkcYCIlILThllIgA\\\n",
       "AOHh4QgPD5ffP/nkk7j33nst6qSmpuLRRx/F8OHDFdsICgpCp06dsGHDBgwYMADAjecQN2zYgDFj\\\n",
       "xgAAOnXqhMDAQGzYsAEPPPAAAODYsWM4d+4cunXrZrd/Op0OOp2uIrdIROQyT/YhJCKqjhgIiUhR\\\n",
       "7dq1Ubt2bYuywMBAxMXFoWXLlnJZ7969cd9998mBb/z48XjsscfQuXNndO3aFR9++CHy8/PlEBkZ\\\n",
       "GYmRI0di/PjxqFWrFiIiIvDss8+iW7duuOWWWyrvBomIHGAgJCK1YCAkogo5efIksrOz5fcDBw5E\\\n",
       "VlYWJk2aBIPBgA4dOmDt2rUWC8188MEH0Gg0eOCBB1BcXIzU1FTMmzfPH90nIlLEQEhEaiEJrnFM\\\n",
       "RNVQXl4eZs2axS9iRKRoypQpyM3NRUREhFvnxcfHw2AwID093eVz8/LykJCQgLi4OFy6dMmT7hIR\\\n",
       "+Q0XlSEiIiIiIlIpThklIiIissIpo0SkFgyERERERFYYCIlILRgIiYiIiKwwEBKRWjAQEhEREVlh\\\n",
       "ICQitWAgJCIiIrLCQEhEasFVRomIiIiIiFSKI4REREREVjhCSERqwUBIREREZIWBkIjUgoGQiIiI\\\n",
       "yAoDIRGpBQMhERERkRUGQiJSCwZCIiIiIisMhESkFlxllIiIiIiISKU4QkhE1ZIQwt9dIKIqriL/\\\n",
       "n7h27ZrLI3/Xrl3z+DpERP7GQEhE1dK1a9cwdepUf3eDiKqwa9euITIy0q1z2rVrB4PBgAYNGrh9\\\n",
       "vXbt2rl9DhGRv0mCP2YnomrIbDYjPT0d4eHhqn5+Jy8vDw0aNMD58+cRERHh7+74DT+HG/g53CCE\\\n",
       "wLVr15CQkACNxv2nY+68804cOnTIrXPatWuHdevWuX0tIiJ/YyAkIqrG8vLyEBkZidzcXFUHAH4O\\\n",
       "N/BzICIid3FRGSIiIiIiIpViICQiIiIiIlIpBkIiompMp9Nh8uTJ0Ol0/u6KX/FzuIGfAxERuYvP\\\n",
       "EBIREREREakURwiJiIiIiIhUioGQiIiIiIhIpRgIiYiIiIiIVIqBkIioCikpKcHLL7+MpKQkhIaG\\\n",
       "IiEhAUOHDkV6errTcz/66CMkJiZCr9cjOTkZu3fvtjheVFSE0aNHo3bt2ggLC8MDDzyAjIwMX91K\\\n",
       "hTi7F2tLly5Fq1atoNfrkZSUhDVr1lgcF0Jg0qRJiI+PR3BwMFJSUnD8+HFf3kKFTZ8+HV26dEF4\\\n",
       "eDjq1q2LAQMG4NixY07Pq4mfBRER+Q4DIRFRFVJQUIB9+/bh9ddfx759+7Bs2TIcO3YM/fr1c3je\\\n",
       "kiVLMH78eEyePBn79u3DTTfdhNTUVGRmZsp1xo0bh5UrV2Lp0qXYvHkz0tPTcf/99/v6ltzmyr2U\\\n",
       "t337dgwaNAgjR47E/v37MWDAAAwYMACHDh2S68yYMQNz5szB/PnzsWvXLoSGhiI1NRVFRUWVdVtu\\\n",
       "27x5M0aPHo2dO3di3bp1KCkpwV133YX8/Hy759TUz4KIiHxIEBFRlbZ7924BQJw9e9Zuna5du4rR\\\n",
       "o0fL700mk0hISBDTp08XQgiRk5MjAgMDxdKlS+U6R44cEQDEjh07fNd5Dzi7F2sPP/ywSEtLsyhL\\\n",
       "Tk4WTz31lBBCCLPZLOLi4sR7770nH8/JyRE6nU589913PrgD38jMzBQAxObNm+3WUctnQURE3sMR\\\n",
       "QiKiKi43NxeSJCEqKkrxuNFoxN69e5GSkiKXaTQapKSkYMeOHQCAvXv3oqSkxKJOq1at0LBhQ7lO\\\n",
       "VeDKvVjbsWOHRX0ASE1NleufPn0aBoPBok5kZCSSk5Or1L07k5ubCwCoVauW3Tpq+SyIiMh7GAiJ\\\n",
       "iKqwoqIivPzyyxg0aBAiIiIU62RnZ8NkMiE2NtaiPDY2FgaDAQBgMBgQFBRkEyrL16kKXLkXawaD\\\n",
       "wem9l5W52mZVYzabMXbsWNx6661o166d3Xpq+CyIiMi7GAiJiPxo0aJFCAsLk19bt26Vj5WUlODh\\\n",
       "hx+GEAIff/yxH3tJ/jZ69GgcOnQIixcv9ndXiIiohgnwdweIiNSsX79+SE5Olt/Xq1cPwP/C4Nmz\\\n",
       "Z/Hrr7/aHR0EgDp16kCr1dqsGJqRkYG4uDgAQFxcHIxGI3JycixGCcvXqQpcuRdrcXFxTu+9rCw+\\\n",
       "Pt6iTocOHbzYe98YM2YMVq1ahS1btqB+/foO69b0z4KIiLyPI4RERH4UHh6OZs2aya/g4GA5DB4/\\\n",
       "fhzr169H7dq1HbYRFBSETp06YcOGDXKZ2WzGhg0b0K1bNwBAp06dEBgYaFHn2LFjOHfunFynKnDl\\\n",
       "Xqx169bNoj4ArFu3Tq7fuHFjxMXFWdTJy8vDrl27qtS9WxNCYMyYMfjhhx/w66+/onHjxk7Pqamf\\\n",
       "BRER+ZC/V7UhIqL/MRqNol+/fqJ+/frijz/+EJcuXZJfxcXFcr1evXqJf//73/L7xYsXC51OJxYs\\\n",
       "WCAOHz4snnzySREVFSUMBoNc5+mnnxYNGzYUv/76q9izZ4/o1q2b6NatW6Xenyuc3cujjz4qXnnl\\\n",
       "Fbn+b7/9JgICAsTMmTPFkSNHxOTJk0VgYKD4888/5TrvvPOOiIqKEitWrBAHDx4U/fv3F40bNxaF\\\n",
       "hYWVfn+uGjVqlIiMjBSbNm2y+HNQUFAg11HLZ0FERL7DQEhEVIWcPn1aAFB8bdy4Ua7XqFEjMXny\\\n",
       "ZItz//3vf4uGDRuKoKAg0bVrV7Fz506L44WFheKZZ54R0dHRIiQkRNx3333i0qVLlXBX7nN0Lz16\\\n",
       "9BCPPfaYRf3vv/9etGjRQgQFBYm2bduK1atXWxw3m83i9ddfF7GxsUKn04nevXuLY8eOVcateMze\\\n",
       "n4Mvv/xSrqOWz4KIiHxHEkII/4xNEhERERERkT/xGUIiIiIiIiKVYiAkIiIiIiJSKQZCIiIiIiIi\\\n",
       "lWIgJCIiIiIiUikGQiIiIiIiIpViICQiIiIiIlIpBkIiIiIiIiKVYiAkIiIiIiJSKQZCIiKqFj7/\\\n",
       "/HPcddddPr/O2rVr0aFDB5jNZp9fi4iIyN8YCImIqMorKirC66+/jsmTJ/v8Wn369EFgYCAWLVrk\\\n",
       "82sRERH5GwMhERFVef/9738RERGBW2+9tVKuN2zYMMyZM6dSrkVERORPDIRERFRpsrKyEBcXh7ff\\\n",
       "flsu2759O4KCgrBhwwa75y1evBj33nuvRVnPnj0xduxYi7IBAwZg2LBh8vvExES8+eabGDp0KMLC\\\n",
       "wtCoUSP8+OOPyMrKQv/+/REWFob27dtjz549Fu3ce++92LNnD06ePOn5zRIREVUDDIRERFRpYmJi\\\n",
       "8MUXX2DKlCnYs2cPrl27hkcffRRjxoxB79697Z63bds2dO7c2aNrfvDBB7j11luxf/9+pKWl4dFH\\\n",
       "H8XQoUMxZMgQ7Nu3D02bNsXQoUMhhJDPadiwIWJjY7F161aPrklERFRdMBASEVGluueee/DEE09g\\\n",
       "8ODBePrppxEaGorp06fbrZ+Tk4Pc3FwkJCR4fL2nnnoKzZs3x6RJk5CXl4cuXbrgoYceQosWLfDy\\\n",
       "yy/jyJEjyMjIsDgvISEBZ8+e9eiaRERE1QUDIRERVbqZM2eitLQUS5cuxaJFi6DT6ezWLSwsBADo\\\n",
       "9XqPrtW+fXv517GxsQCApKQkm7LMzEyL84KDg1FQUODRNYmIiKoLBkIiIqp0J0+eRHp6OsxmM86c\\\n",
       "OeOwbu3atSFJEq5eveq0XZPJZFMWGBgo/1qSJLtl1ttMXLlyBTExMU6vSUREVJ0xEBIRUaUyGo0Y\\\n",
       "MmQIBg4ciDfeeAOPP/64zehceUFBQWjTpg0OHz5sc8x6muepU6e80seioiKcPHkSHTt29Ep7RERE\\\n",
       "VRUDIRERVap//etfyM3NxZw5c/Dyyy+jRYsWGDFihMNzUlNTsW3bNpvyFStWYNmyZTh58iTeeust\\\n",
       "HD58GGfPnsXFixcr1MedO3dCp9OhW7duFWqHiIioqmMgJCKiSrNp0yZ8+OGHWLhwISIiIqDRaLBw\\\n",
       "4UJs3boVH3/8sd3zRo4ciTVr1iA3N9eiPC0tDTNmzECbNm2wZcsWzJs3D7t378bChQsr1M/vvvsO\\\n",
       "gwcPRkhISIXaISIiquokUX6dbSIioirqoYcews0334yJEycCuLEPYYcOHfDhhx969TrZ2dlo2bIl\\\n",
       "9uzZg8aNG3u1bSIioqqGI4RERFQtvPfeewgLC/P5dc6cOYN58+YxDBIRkSpwhJCIiKolX40QEhER\\\n",
       "qQkDIRERERERkUpxyigREREREZFKMRASERERERGpFAMhERERERGRSjEQEhERERERqRQDIRERERER\\\n",
       "kUoxEBIREREREakUAyEREREREZFKMRASERERERGpFAMhERERERGRSjEQEhERERERqRQDIRERERER\\\n",
       "kUoxEBIREREREakUAyEREREREZFKMRASERERERGp1P8DNUeU8K8VdRYAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[36] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAb2BJREFUeJzt3Xd4U1XjB/DvTdqku5TusloQqDJkI4giUKnIqqD48rLFhaAi\\\n",
       "r4o4WKI4UREQNyogiK+CDFEEBGTTAj+RKTJb2lKgg46kTc7vD57et1ltkiZN0/v9PE8em3PPPffc\\\n",
       "AJIv59xzJCGEABERERERESmOytMdICIiIiIiIs9gICQiIiIiIlIoBkIiIiIiIiKFYiAkIiIiIiJS\\\n",
       "KAZCIiIiIiIihWIgJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIoBkIiIiIiIiKFYiAkIiIiIiJS\\\n",
       "KAZCIiIiIiIihWIgJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIoBkIiInLK77//DkmS8Pvvv3u6\\\n",
       "K+Ri+/btg0ajwblz52r82leuXEFgYCA2bNhQ49cmIlIiBkIiIqrUokWLsGTJEk93wynLly/H+++/\\\n",
       "7+luAACMRiPeeustJCQkwM/PD23btsW3335r9/m5ubl49NFHERkZicDAQPTq1QtpaWkW9VauXImR\\\n",
       "I0eiefPmkCQJd911l8N9femllzB8+HA0adLE4XOrKzw8HA8//DBeeeWVGr82EZESSUII4elOEBFR\\\n",
       "7dW6dWtERERYjAQajUbo9XpoNBqoVLXz3xcHDBiAI0eO4OzZs57uCqZNm4Y33ngDjzzyCDp37ow1\\\n",
       "a9Zg/fr1+Pbbb/Gvf/2r0nONRiPuuOMOHD58GM899xwiIiKwaNEiXLhwAampqWjevLlc96677kJq\\\n",
       "aio6d+6MQ4cOoW3btg6N4h46dAjt27fHrl270K1bN2dvt1qOHTuGW265BZs3b0bv3r090gciIqVg\\\n",
       "ICQiskNhYSECAwM93Q2PsBUIvUFtCYTp6elISEjAo48+igULFgAAhBDo2bMnzpw5g7Nnz0KtVts8\\\n",
       "/7vvvsODDz6IVatW4f777wcAXL58GS1atEC/fv2wfPlyue6FCxfQoEEDqFQqp37tnn76aaxevRpn\\\n",
       "z56FJEnO3bALtGnTBu3bt8fXX3/tsT4QESlB7fwnXSIiN0pPT8f48eMRFxcHrVaLhIQETJgwAXq9\\\n",
       "HgCwZMkSSJKEbdu24YknnkBUVBQaNmwon79o0SK0atUKWq0WcXFxmDhxInJzc02ucerUKQwdOhQx\\\n",
       "MTHw8/NDw4YN8a9//Qt5eXlynU2bNqFHjx6oV68egoKC0LJlS7z44otV9t+e83Q6HWbMmIGbbroJ\\\n",
       "Wq0WjRo1wvPPPw+dTmfR3tKlS9GlSxcEBAQgLCwMd955J3799VcAQHx8PP766y9s27YNkiSZTEG0\\\n",
       "9QzhqlWr0LFjR/j7+yMiIgIjR45Eenq6SZ2xY8ciKCgI6enpSElJQVBQECIjI/Hss8/CYDBU+Rms\\\n",
       "WbMG/fv3l38NmzVrhldffdXk3Lvuugvr16/HuXPn5L7Hx8fbbHPs2LFyPfPXzJkzq+xTVf0tLS3F\\\n",
       "E088IZdJkoQJEybg4sWL2L17d6Xnf//994iOjsaQIUPkssjISAwbNgxr1qwx+XVt1KhRtUZsV69e\\\n",
       "jd69e1uEQVufQ3x8PMaOHSu/L//z88cff+Cpp55CZGQk6tWrh8ceewx6vR65ubkYPXo0wsLCEBYW\\\n",
       "hueffx7W/m367rvvxtq1a60eIyIi1/HxdAeIiGpSRkYGunTpIj+PlZiYiPT0dHz//fcoKiqCRqOR\\\n",
       "6z7xxBOIjIzE9OnTUVhYCACYOXMmZs2ahaSkJEyYMAEnTpzARx99hP3792Pnzp3w9fWFXq9HcnIy\\\n",
       "dDodnnzyScTExCA9PR3r1q1Dbm4uQkND8ddff2HAgAFo27YtZs+eDa1Wi7///hs7d+6stP/2nGc0\\\n",
       "GjFo0CD88ccfePTRR3HzzTfjzz//xHvvvYeTJ09i9erVct1Zs2Zh5syZ6N69O2bPng2NRoO9e/di\\\n",
       "y5Yt6Nu3L95//308+eSTCAoKwksvvQQAiI6Ottm/JUuWYNy4cejcuTPmzp2LrKwsfPDBB9i5cycO\\\n",
       "HjyIevXqyXUNBgOSk5PRtWtXvPPOO/jtt9/w7rvvolmzZpgwYUKln8OSJUsQFBSEKVOmICgoCFu2\\\n",
       "bMH06dORn5+Pt99+G8CN5+Dy8vJw8eJFvPfeewCAoKAgm20+9thjSEpKMinbuHEjli1bhqioKLks\\\n",
       "Jyen0r6VCw4OhlarBQAcPHgQgYGBuPnmm03qdOnSRT7eo0cPm20dPHgQHTp0sAh6Xbp0wSeffIKT\\\n",
       "J0+iTZs2dvWrMunp6Th//jw6dOhQ7bbKf+/PmjULe/bswSeffIJ69eph165daNy4MV5//XVs2LAB\\\n",
       "b7/9Nlq3bo3Ro0ebnN+xY0e89957+Ouvv9C6detq94eIiGwQREQKMnr0aKFSqcT+/fstjhmNRiGE\\\n",
       "EF9++aUAIHr06CHKysrk49nZ2UKj0Yi+ffsKg8Egly9YsEAAEF988YUQQoiDBw8KAGLVqlU2+/He\\\n",
       "e+8JAOLy5csO9d+e87755huhUqnEjh07TMoXL14sAIidO3cKIYQ4deqUUKlU4r777jO5HyH+91kI\\\n",
       "IUSrVq1Ez549La6zdetWAUBs3bpVCCGEXq8XUVFRonXr1qK4uFiut27dOgFATJ8+XS4bM2aMACBm\\\n",
       "z55t0mb79u1Fx44dK/8QhBBFRUUWZY899pgICAgQJSUlcln//v1FkyZNqmzPmlOnTonQ0FBx9913\\\n",
       "m/w+AGDX68svvzTpR9OmTS2uUVhYKACIF154odK+BAYGioceesiifP369QKA2Lhxo9XzbP3a2fLb\\\n",
       "b78JAGLt2rUWxwCIGTNmWJQ3adJEjBkzRn5f/ucnOTnZ5PdRt27dhCRJ4vHHH5fLysrKRMOGDa32\\\n",
       "cdeuXQKAWLlypd39JyIix3HKKBEphtFoxOrVqzFw4EB06tTJ4rj5FLlHHnnE5Lmu3377DXq9HpMn\\\n",
       "TzYZqXnkkUcQEhKC9evXAwBCQ0MBAL/88guKioqs9qV8pGzNmjUwGo1234M9561atQo333wzEhMT\\\n",
       "kZOTI7/KF+fYunUrgBtTA41GI6ZPn24x8uTMs2MHDhxAdnY2nnjiCfj5+cnl/fv3R2Jiovz5VPT4\\\n",
       "44+bvL/jjjvwzz//VHktf39/+eeCggLk5OTgjjvuQFFREY4fP+5w380VFhbivvvuQ1hYGL799luT\\\n",
       "3webNm2y65WcnCyfU1xcLI8WVlT+ORUXF1fan+qeb68rV64AAMLCwqrd1vjx401+H3Xt2hVCCIwf\\\n",
       "P14uU6vV6NSpk9Vf8/I+2DsiS0REzuGUUSJSjMuXLyM/P9/u6WcJCQkm78v3ZGvZsqVJuUajQdOm\\\n",
       "TeXjCQkJmDJlCubNm4dly5bhjjvuwKBBgzBy5Eg5LD744IP47LPP8PDDD+OFF15Anz59MGTIENx/\\\n",
       "//2VPv9lz3mnTp3CsWPHEBkZabWN7OxsAMDp06ehUqlwyy232PV5VMXW5wMAiYmJ+OOPP0zK/Pz8\\\n",
       "LPoYFhaGa9euVXmtv/76Cy+//DK2bNmC/Px8k2MVn9N01iOPPILTp09j165dCA8PNzlmPq3UHv7+\\\n",
       "/laf3ywpKZGPu/N8RwkXPLfXuHFjk/flv/cbNWpkUW7t17y8D55c2IaISAkYCImIbKjOl+x3330X\\\n",
       "Y8eOxZo1a/Drr7/iqaeewty5c7Fnzx40bNgQ/v7+2L59O7Zu3Yr169dj48aNWLlyJXr37o1ff/3V\\\n",
       "5oqT9pxnNBrRpk0bzJs3z2ob5l/IPaWyVTUrk5ubi549eyIkJASzZ89Gs2bN4Ofnh7S0NEydOtWh\\\n",
       "EVdrPvjgA3z77bdYunQp2rVrZ3E8MzPTrnZCQ0Pl30OxsbHYunUrhBAmAefSpUsAgLi4uErbio2N\\\n",
       "letWZO/59ioPv/aE8nK2wqOtX19r5dbaKO9DRESE3X0hIiLHccooESlGZGQkQkJCcOTIEafOL9+k\\\n",
       "+8SJEybler0eZ86csdjEu02bNnj55Zexfft27NixA+np6Vi8eLF8XKVSoU+fPpg3bx6OHj2K1157\\\n",
       "DVu2bJGndNpS1XnNmjXD1atX0adPHyQlJVm8ykfwmjVrBqPRiKNHj1Z6PXtHaGx9PuVlrtrk/Pff\\\n",
       "f8eVK1ewZMkSPP300xgwYACSkpKsTnN0dHRpx44dePbZZzF58mSMGDHCap3Y2Fi7XitXrpTPadeu\\\n",
       "HYqKinDs2DGTtvbu3Ssfr0y7du2QlpZmEXb37t2LgIAAtGjRwqH7tCUxMREAcObMGavHCwoKLMrK\\\n",
       "R5xdrbwP5gvxEBGRazEQEpFiqFQqpKSkYO3atThw4IDF8aqmySUlJUGj0WD+/PkmdT///HPk5eWh\\\n",
       "f//+AID8/HyUlZWZnNumTRuoVCp52t/Vq1ct2i8PBdamBpaz57xhw4YhPT0dn376qUXd4uJiecXU\\\n",
       "lJQUqFQqzJ492yJoVLy/wMBAi201rOnUqROioqKwePFik3v4+eefcezYMfnzqa7yEaaKfdTr9Vi0\\\n",
       "aJFF3cDAQLunkF66dAnDhg1Djx495JVKrXHmGcLBgwfD19fXpI9CCCxevBgNGjRA9+7dTfpx/Phx\\\n",
       "lJaWymX3338/srKy8MMPP8hlOTk5WLVqFQYOHGj1+UJnNGjQAI0aNbL65wOAxRYjP//8M0pKStyy\\\n",
       "NURqaipCQ0PRqlUrl7dNRET/wymjRKQor7/+On799Vf07NlT3pLh0qVLWLVqFf744w+TbRHMRUZG\\\n",
       "Ytq0aZg1axbuueceDBo0CCdOnMCiRYvQuXNnjBw5EgCwZcsWTJo0CQ888ABatGiBsrIyfPPNN1Cr\\\n",
       "1Rg6dCgAYPbs2di+fTv69++PJk2aIDs7G4sWLULDhg0r3X7AnvNGjRqF7777Do8//ji2bt2K22+/\\\n",
       "HQaDAcePH8d3332HX375BZ06dcJNN92El156Ca+++iruuOMODBkyBFqtFvv370dcXBzmzp0L4Mby\\\n",
       "/x999BHmzJmDm266CVFRUfICNRX5+vrizTffxLhx49CzZ08MHz5c3nYiPj4ezzzzjLO/bCa6d++O\\\n",
       "sLAwjBkzBk899RQkScI333xjNZR07NgRK1euxJQpU9C5c2cEBQVh4MCBVtt96qmncPnyZTz//PNY\\\n",
       "sWKFybG2bduibdu2AJx7hrBhw4aYPHky3n77bZSWlqJz585YvXo1duzYgWXLlplMo5w2bRq++uor\\\n",
       "nDlzRt438f7778dtt92GcePG4ejRo4iIiMCiRYtgMBgwa9Ysk2tt374d27dvB3DjudnCwkLMmTMH\\\n",
       "AHDnnXfizjvvrLSvgwcPxo8//mgxvRUAjh07hnvvvReDBg1CRkYGPvjgA4SGhmLXrl349ttvMXz4\\\n",
       "cIc/G1s2bdqEgQMH8hlCIiJ388TSpkREnnTu3DkxevRoERkZKbRarWjatKmYOHGi0Ol0Qoj/LZtv\\\n",
       "bWsKIW5sM5GYmCh8fX1FdHS0mDBhgrh27Zp8/J9//hEPPfSQaNasmfDz8xP169cXvXr1Er/99ptc\\\n",
       "Z/PmzWLw4MEiLi5OaDQaERcXJ4YPHy5OnjxZad/tPU+v14s333xTtGrVSmi1WhEWFiY6duwoZs2a\\\n",
       "JfLy8kzqfvHFF6J9+/ZyvZ49e4pNmzbJxzMzM0X//v1FcHCwACBvEWC+7US5lStXyu3Vr19fjBgx\\\n",
       "Qly8eNGkzpgxY0RgYKDF/c2YMUPY81fTzp07xW233Sb8/f1FXFyceP7558Uvv/xi0Z/r16+Lf//7\\\n",
       "36JevXoCQKVbUPTs2dPmFhLWtltwlMFgEK+//rpo0qSJ0Gg0olWrVmLp0qUW9cq35Dhz5oxJ+dWr\\\n",
       "V8X48eNFeHi4CAgIED179rT6e7T8M3T2PtLS0gQAi21LAIgpU6aIBx54QPj7+4vY2FixYMECsXjx\\\n",
       "YhEQECAefvhhIYTtPz/l/TLfMsXa74Vjx44JACZ/ZoiIyD0kIdwwz4OIiIi8Vp8+fRAXF4dvvvlG\\\n",
       "LpMkCTNmzMDMmTPdfv3Jkydj+/btSE1N5QghEZGb8RlCIiIiMvH6669j5cqV8lYiNenKlSv47LPP\\\n",
       "MGfOHIZBIqIawGcIiYiIyETXrl2h1+s9cu3w8HBcv37dI9cmIlIijhASEREREREpFEcIiYiIqEpc\\\n",
       "coCIqG7iCCEREREREZFCMRASEREREREpFKeMEpFXMhqNyMjIQHBwMFciJCITQggUFBQgLi4OKpXj\\\n",
       "//bdu3dv/PXXXw6d06pVK2zZssXhaxEReRr3ISQir3Tx4kV89tlnnu4GEdVSs2bNwoULF9CwYUOH\\\n",
       "zuvduze2bt3q1DV79erFUEhEXocjhETklYKDgwGAo4NEZFP5/ycc4ejIoLPnWvt/V/m/0U+aNAkL\\\n",
       "Fy60eh7/HZ+IXI2BkIi8EoMgEVWluv+fsPd8V4e0b7/91qXtERFVhoGQiIiIyIwkSQ4FSkdDYcX6\\\n",
       "5te5cuWK1f6U/5ejhETkSgyERERERGacCYTZ2dmIjo6Wy7p06YK1a9e6tF9RUVEubY+IiIGQiIiI\\\n",
       "yIyjgbBcdna2/PO6detc0pfevXvLP2dlZbmkTSKicgyERERERGacDYQVR/C6dOlS7X5MmjRJXvWU\\\n",
       "o4NE5A4MhERERERmnAmEUVFRLh3Bq7jaqJ+fH0cHicgtHN+tlYiIiIjcqmIY9PX1RXFxsYd7RER1\\\n",
       "FQMhERERkZnyEUJ7X45KSEiwOLf8vfk+hKWlpfKxkSNHuuT+iIjKMRASERERmXF3IDx79qzNY7Y2\\\n",
       "pQeAZcuWOXwtIqLK8BlCIiIiIjPOBj17cS9BIqotGAiJiIiIzLg7EBIR1RYMhERERERmGAiJSCn4\\\n",
       "DCEREREREZFCcYSQiIiIyAxHCIlIKThCSER2e+ONNyBJEiZPnlxpvVWrViExMRF+fn5o06YNNmzY\\\n",
       "YHJcCIHp06cjNjYW/v7+SEpKwqlTp9zYcyIix7h7lVEiotqCgZCI7LJ//358/PHHaNu2baX1du3a\\\n",
       "heHDh2P8+PE4ePAgUlJSkJKSgiNHjsh13nrrLcyfPx+LFy/G3r17ERgYiOTkZJSUlLj7NoiI7MJA\\\n",
       "SERKwUBIRFW6fv06RowYgU8//RRhYWGV1v3ggw9wzz334LnnnsPNN9+MV199FR06dMCCBQsA3Bgd\\\n",
       "fP/99/Hyyy9j8ODBaNu2Lb7++mtkZGRg9erVNXA3RERVYyAkIqVgICSiKk2cOBH9+/dHUlJSlXV3\\\n",
       "795tUS85ORm7d+8GAJw5cwaZmZkmdUJDQ9G1a1e5jjU6nQ75+fkmLyIid2EgJCKlYCAkokqtWLEC\\\n",
       "aWlpmDt3rl31MzMzER0dbVIWHR2NzMxM+Xh5ma061sydOxehoaHyq1GjRo7cBhERERFZwUBIRDZd\\\n",
       "uHABTz/9NJYtWwY/Pz+P9mXatGnIy8uTXxcuXPBof4iobuMIIREpBbedICKbUlNTkZ2djQ4dOshl\\\n",
       "BoMB27dvx4IFC6DT6aBWq03OiYmJQVZWlklZVlYWYmJi5OPlZbGxsSZ12rVrZ7MvWq0WWq22urdE\\\n",
       "RGQXBj0iUgqOEBKRTX369MGff/6JQ4cOya9OnTphxIgROHTokEUYBIBu3bph8+bNJmWbNm1Ct27d\\\n",
       "AAAJCQmIiYkxqZOfn4+9e/fKdYiIagOODhKREnCEkIhsCg4ORuvWrU3KAgMDER4eLpePHj0aDRo0\\\n",
       "kJ8xfPrpp9GzZ0+8++676N+/P1asWIEDBw7gk08+AQB5H8M5c+agefPmSEhIwCuvvIK4uDikpKTU\\\n",
       "6P0REdniSNhjKCQib8ZASETVcv78eahU/5ts0L17dyxfvhwvv/wyXnzxRTRv3hyrV682CZbPP/88\\\n",
       "CgsL8eijjyI3Nxc9evTAxo0bPf6cIhFROQZCIlIKSQghPN0JIiJH5efnY968efwiRkRWzZw5E3l5\\\n",
       "eQgJCXHovOjoaGRnZyMiIsLkH7sqYzQakZOTg6ioKItnqImIajs+Q0hERERERKRQnDJKREREZIZT\\\n",
       "RolIKRgIiYiIiMwwEBKRUjAQElGdN2PGDE93gYhcaNasWW6/BgMhESkFAyERERGRGQZCIlIKBkIi\\\n",
       "IiIiMwyERKQUXGWUiIiIiIhIoThCSERERGSGI4REpBQMhERERERmGAiJSCkYCImIiIjMMBASkVIw\\\n",
       "EBIRERGZYSAkIqVgICQiIiIyw0BIRErBVUaJiIiIiIgUiiOERERERGY4QkhESsFASERERGSGgZCI\\\n",
       "lIKBkIiIiMgMAyERKQUDIREREZEZBkIiUgoGQiIiIiIrGPSISAm4yigREREREZFCcYSQiIiIyAyn\\\n",
       "jBKRUjAQEhEREZlhICQipWAgJCIiIjLDQEhESsFASERERGSGgZCIlIKBkIiIiMgMAyERKQUDIRER\\\n",
       "EZEZBkIiUgpuO0FERERERKRQHCEkIiIiMsMRQiJSCgZCIiIiIjMMhESkFJwySkRERGSmPBDa+3JF\\\n",
       "+xWdPHnSJdchIqoKAyERERGRGXcHwqq0bNnSannv3r1dfi0iUjYGQiIiIiIz7g6EQgj5Ze7kyZMW\\\n",
       "9erXrw8A2Lp1q/M3RURkBQMhERERUS1ibXTwypUrHugJESkBF5UhIiIiMuPMojLZ2dmIjo6Wy7t0\\\n",
       "6YK1a9e6pX9ERK7CQEhERERkxtlVRrOzs+Wf161b5/J+ERG5GgMhERERkRlnA2FUVJT8c5cuXVze\\\n",
       "LyIiV2MgJCIiIjLjTCCMiopCVlZWta994sQJi+cIK05FJSJyJQZCIiIiIjPu3pg+ISEBZ8+etdpO\\\n",
       "xZVHzdvu1auXw9ciIqoMVxklIiIiqmHmYdDciRMnrJZv2bLFDb0hIiXjCCERERGRGXePEFrbf7Ci\\\n",
       "Fi1aVFmHiMgVGAiJiIiIrHAm6BEReRsGQiIiIiIz7h4hJCKqLRgIiYiIiMwwEBKRUjAQEhEREZlh\\\n",
       "ICQipWAgJCIiIjLDQEhESsFtJ4iIiIiIiBSKI4REREREZjhCSERKwUBIREREZIaBkIiUgoGQiIiI\\\n",
       "yAwDIREpBQMhERERkRkGQiJSCgZCIiIiIjMMhESkFFxllIiIiIiISKE4QkhEVIvZGnkQQtRwTzyn\\\n",
       "tLQUGo3G6fOr+qyUNrqjpN871cERQiJSCgZCIiIv4+OjrP91FxQUOH0uv6iTsxgIiUgplPWtgoio\\\n",
       "DigpKfF0F2rUsWPHnD738uXLlR7PyMhwum2q2xgIiUgpGAiJiLyEr68viouLoVarPd2VGtWoUSOn\\\n",
       "zhs8eDDCw8MrrdOgQQOn2qa6j4GQiJSCi8oQkU1z585F586dERwcjKioKKSkpODEiRNVnrdq1Sok\\\n",
       "JibCz88Pbdq0wYYNG0yOCyEwffp0xMbGwt/fH0lJSTh16pS7bsOrCSHkl16vV1wYBIDGjRvbPFZY\\\n",
       "WGjyGQkhUFpaCiEEVq9eXWm7H3zwgdN9UqlUCA8PV+Svh1KUB0J7X0RE3oqBkIhs2rZtGyZOnIg9\\\n",
       "e/Zg06ZNKC0tRd++fVFYWGjznF27dmH48OEYP348Dh48iJSUFKSkpODIkSNynbfeegvz58/H4sWL\\\n",
       "sXfvXgQGBiI5OVlxUyHJfitXrjR5HxgYCCEEAgICLOra84zll19+icmTJzvVF6PRCIPBgJycHJSV\\\n",
       "lUEIgbZt2zrVlqupVCrk5+fLwbg6i/EQEZEyMBASkU0bN27E2LFj0apVK9x6661YsmQJzp8/j9TU\\\n",
       "VJvnfPDBB7jnnnvw3HPP4eabb8arr76KDh06YMGCBQBujHi9//77ePnllzF48GC0bdsWX3/9NTIy\\\n",
       "Mqoc0SHlGjZsGIQQ0Ol0EELg+vXrTrVTUlIClUqFhx56yKnzS0tLrY4GHT58GDfddJNTbbpKq1at\\\n",
       "YDAYEBwcDOBGMNbpdGjWrJlH++WtOEJIRErBQEhEdsvLywMA1K9f32ad3bt3IykpyaQsOTkZu3fv\\\n",
       "BgCcOXMGmZmZJnVCQ0PRtWtXuY41Op0O+fn5Ji+q/QwGA/z9/aFSqbBixYpqt1edES+VSgV/f/9q\\\n",
       "bbtQ2eijJ6c9q9Vqk1H4iv7++2/FrUzrCgyERKQUDIREZBej0YjJkyfj9ttvR+vWrW3Wy8zMRHR0\\\n",
       "tElZdHQ0MjMz5ePlZbbqWDN37lyEhobKL2cXGqGac+DAAfj4+KCkpARCCAwfPhy//fabR/qiUqmq\\\n",
       "vf9ep06dqqzjqWBQVlZW6fHS0lIEBQXVUG/qBgZCIlIKBkIissvEiRNx5MgRl4zyOGPatGnIy8uT\\\n",
       "XxcuXPBIP8g+Qgh07tzZojw5ObnS83Jzc3Hw4EG39Ke69u3bV2Wd+fPnV/s6jtLr9XbVKygogNFo\\\n",
       "dHNv6haGQSJSAgZCIqrSpEmTsG7dOmzduhUNGzastG5MTAyysrJMyrKyshATEyMfLy+zVccarVaL\\\n",
       "kJAQkxe5Rn5+PlQqFVQqFXQ6nUva9PX1tVpe2dRFtVqNsLAwdOjQAZIkVRnihBDYuHGjXX1WqSr/\\\n",
       "6+6mm25CcXGxyWqlx48fh1qthp+fH4qLi+364j9p0qQq69gSFBSEcePGYcKECWjWrFmV0zxbtWoF\\\n",
       "IYTNz9oahhf7cYSQiJSCgZCIbBJCYNKkSfjxxx+xZcsWJCQkVHlOt27dsHnzZpOyTZs2oVu3bgCA\\\n",
       "hIQExMTEmNTJz8/H3r175TpUs7Zu3SqHoLNnz1a7vezsbBgMBqvH/vrrL6vlp0+fthi9qmyK48WL\\\n",
       "F6FSqdCvXz/4+fnh3XffrbRPBoMBffr0kb+4q1QqDBo0SF4l9NSpU/Dz8zM5p2XLligrK0NxcbHF\\\n",
       "scrs3bvX7roAEBAQACEECgoK8MUXX2DRokX4+++/5e0zKm6nUbHM1jODREREjmAgJCKbJk6ciKVL\\\n",
       "l2L58uUIDg5GZmYmMjMzUVxcLNcZPXo0pk2bJr9/+umnsXHjRrz77rs4fvw4Zs6ciQMHDsgjJ5Ik\\\n",
       "YfLkyZgzZw5++ukn/Pnnnxg9ejTi4uKQkpJS07dIuLGB+9GjR3H8+HG0bNmyyvpCCAQFBUGSJAQE\\\n",
       "BODcuXPysbVr11o8H1qRrZU4//3vf1uUFRUV2WzH/BnSZ599Frfddlul/f7tt99gNBohhIDBYMCa\\\n",
       "NWvcso9gly5dLEbAbVGr1ZVu41KRj48PF4epQRwhJCKl4N8sRGTTRx99BAC46667TMq//PJLjB07\\\n",
       "FgBw/vx5k+l43bt3x/Lly/Hyyy/jxRdfRPPmzbF69WqThWief/55FBYW4tFHH0Vubi569OiBjRs3\\\n",
       "OjQKQ651880321234q93cXEx4uPjq339t99+Gz179jQpK98+wZyt0OroyJw7RUVFQQhR5WI2VS0G\\\n",
       "Q57jSNBjICQib8ZASEQ22bMQx++//25R9sADD+CBBx6weY4kSZg9ezZmz55dne6RBwwbNswt7d55\\\n",
       "550WZeXbnJg7efKkzXbCwsJw7do1l/WruoxGI9RqtdXFXAICAjzQo7oRXqZNm1atLUjswUBIRErB\\\n",
       "KaNERGS3VatWVet8f39/m8eEEJg5cyb+9a9/QQjh1Jfs3NxcSJJU6Z6WNc1gMFid6mnvVFHyDE4Z\\\n",
       "JSKl4AghERHZ5cqVK9Vuo6SkpNIVRGfMmFHtawA3pi6X0+l0bh9NqkppaSl+/fVX9OvXz6HnBslz\\\n",
       "OEJIRErBEUIiIrJLRESEy9qqV6+e0+faerbQFq1W6/S1XKlv374wGAzQ6/V2bRWRn58vh5Kqtnsh\\\n",
       "1+MIIREpBQMhERFV6c8//3Rpe7aeD7RHfn6+C3tin9LSUuTm5tboNUNDQ+Wf09PTK51uS0RE5CwG\\\n",
       "QiIiqlLbtm1d2t7w4cOrdb4QAkOHDnVRbyrn4+MDjUaDsLAwSJJkc49FVzp+/LhFWUlJCebMmWO1\\\n",
       "/pUrV2qkX0rCEUIiUgoGQiIiqlG9evXC8uXLq93O999/DyEEYmNjK61XcaTNUatXr7YIWvbsBWht\\\n",
       "VVFHREZGWi1/5ZVX0KhRI1y/fh0nT56Ej48PJElCREQEfHx88NNPP1XruvQ/DIREpBQMhERE5FK+\\\n",
       "vr7Iz8+HEAJGoxH5+fk4e/YsdDodhBDYsmWLS6+XkZEBnU6HBx980OKYSqWq1lTPZ555xmr5L7/8\\\n",
       "YrU8KSkJkiRBrVZXaxP58PBwm8cuXryI4OBgtGzZ0iKspqSkOH1NMsVASERKwUBIRERV0ul0dtW7\\\n",
       "ePEi9Hq9vPCLJEkIDg5GkyZN3LrSp0ajwYoVKyCEQH5+Pn755ReUlJRUexrlu+++a7X8nnvusSir\\\n",
       "X78+Nm/eLL83GAyYN2+e1fONRiNUKhUkSbK5wI4zK5EymLgOAyERKQUDIRERVUmj0UAIgVatWlk9\\\n",
       "Hh4eDiEEGjRoUMM9sxQcHIy+ffu6ZHXRIUOG2DwmSRL27NmDo0ePQqVS4dq1axZ1nn32WavnqtVq\\\n",
       "eeuNvLw8q6OJAQEBOHr0qEP9remFb+oyBkIiUgoGQiIistuRI0cghJCngxqNRgghkJOT4+muuc3I\\\n",
       "kSNtHuvWrRtatWplc19Fa+XWymyNZN58880YMWKEXf1MT0+3a0uO8l8/b35ptVoGNCIiF2EgJCIi\\\n",
       "pyjli/c333zj9LnWRv4c/cyWLl1a6Tnlo41xcXEO949s4wghESkFAyEREdU4o9HoVdsk/PDDD06d\\\n",
       "l56ebrX8lltuMXnv5+dXaTtlZWVWyz/99FObx6h6GAiJSCkYCImIqMb88MMPJqtwSpIElUqF/fv3\\\n",
       "e7prAIDLly+bfMm/fv06AKBv374Ot7Vy5UpERUVZPfbXX38hOzsbLVu2xObNm1FcXFxpWyqVCgUF\\\n",
       "BVCpbvy1Xa9ePRiNRjz88MMO94vsw0BIRErh/JrYREREDliyZAnGjRtnUS6EQJcuXSzKVSoVmjdv\\\n",
       "jtTUVAQGBrq9f6dPn8ZNN91kUhYcHIwTJ06gQYMGkCTJ5rOC5SRJwrVr1+za+zAyMtLqBvS2BAUF\\\n",
       "edWoqrdzJOgxEBKRN+MIIREROaV8QRl761oLg1Wdc+LECQQFBUGSJPj4+KBbt27o0KEDNBoNJEmC\\\n",
       "r68vrly5Umk75SORkiTh448/tlnPPAyW+/TTT+Hn51flM3pNmjSB0Wi0KwxS7ccRQiJSCgZCIiJy\\\n",
       "yKlTp+RpnyqVCgMGDKjyHLVaXe3rGgwG7NmzBwcPHkRpaSmAG8/WRURE2FyJU6VSmYyqPf7444iO\\\n",
       "jraoN2vWLJvXffPNN6FWq/HPP//YrKNSqXD27Fk774SIiKj2YCAkIiK7nDx5EiqVCi1atDApX79+\\\n",
       "faXnuSIMVmX58uXy83Xl7rzzTqsjmNnZ2VCr1TAajQCAtLQ0zJw502q7Z8+eldvVaDQ2N5Gvaipn\\\n",
       "+ZRTtVqNnTt3VnE3VBtwhJCIlIKBkIiILGRnZyMgIMDkC2/Lli3tniJa7pNPPpGDl7sJIeDr64vU\\\n",
       "1FRER0djx44dNusajUao1WpIkoSOHTtarZOUlIQmTZqYlFnbfL6qMDh8+HBkZGTI1+3RowckScLl\\\n",
       "y5eruiXyMHeFwY8++shqOydPnnTDXRARVY6LyhARKcTVq1dRVlaGyMhIm19iDQaD1b3znPXYY4+5\\\n",
       "rC17lJWVoVOnTtVqo3Xr1vjzzz9tHhdC4Pjx4zAajRbbR1izYsUKq+VRUVHIzs5GZGSk03111Nmz\\\n",
       "ZxEfH19j1/Nm7lxU5oknnrBa7sw/uhARVRdHCImI6rhdu3ZBkiSEh4cjOjoaKpUKkiThpZdekke3\\\n",
       "iouLERQU5NIw6I1++OGHSsNgucTERLvCYFVsbUvhakIISJKEhISEGrleXVATU0aFEPKLiMhTGAiJ\\\n",
       "iOq422+/3Wr566+/Lq/AGRAQgMLCQqfaDw4Otnlsw4YNTrXpKffdd5/L2/T393d5m44yf76SquZM\\\n",
       "IMzOzkZ0dLT8GjhwYJXXqPhfIiJP4N8QRES12O+//46ioiKnzy/fWN2drK3aWa5fv35IT0+XF5ax\\\n",
       "dzTl8OHDEELU6DYOCxcudEu7V69edUu7ABAaGgqVSoX58+fbrMPRJ+c4O0KYnZ0tv9atW2e17bVr\\\n",
       "15pcpxx/rYjIExgIiYhqsV69eiEwMNDpEYSgoCAX98hSdnZ2pcfj4uJQVlYmB7zy/QsNBoPFqp3l\\\n",
       "z1C1bdsWwI0vy7m5ufD19bXa9pNPPilPudPpdFX2tbIpsbae66ouPz8/LFmyxOqxM2fOON1u9+7d\\\n",
       "kZ+fDyEEnn76aZv7JNbUoj50Q1RUlPyytSWLrZFDjhQSkScwEBIReYnGjRs7dZ6zow4Gg8HkGac+\\\n",
       "ffpYrZefn+9U+yqVCteuXTO5xvHjx63W1ev1uPvuu+X3vr6+EEKYjIxpNBqb4ac8hJaWlsrX0uv1\\\n",
       "2Lx5M/R6faWf0cmTJy1Gg+wJnxWNGTNGvm5JSYn82VZngZd9+/aZvL906RI0Go1FvZrY9qMucmaE\\\n",
       "MCoqCllZWfKr4kigNXyGkIhqAwZCIiIvsX37dqfPLV9UxB4ajQZCCIvnzn777Tenr+8Kv/76q0mY\\\n",
       "s0aSJJOAKkkSjEaj1Xv39fVF7969bY4+lmvZsqVFmZ+fH/7++28H7+AGrVbrkmf62rVrZ1FWWlpq\\\n",
       "tW51ph0rFfchJCKlYCAkIvICy5cvr/Z2Ad9//73887lz50xGJyq+Khv9cnY0sCYFBwfL92IrDNrL\\\n",
       "VvAEgObNmzvdrivs3r3bavmJEycsyvz9/WE0GhEREeHubtUZNREIGSiJqDZgICQiqsXKg83w4cOr\\\n",
       "3dYzzzwj/+zs9NPg4GCEhISYlLVp06Za/arNqppuaS181RRbI5vTp0+3Wi5JEi5fvuzOLtUp7gyE\\\n",
       "DRo0sFo+YsQIV3SdiMghyt5wiohIIXJzc3H+/Hn5vSNTSM3l5eVBo9GgtLQUkiTh//7v/1zVzVqn\\\n",
       "qkC4d+9eq1NKa4parZb3kizn6am9dYU7N6a/ePGiM10iInILjhASESmA+SbqO3furFZ76enpCAkJ\\\n",
       "wfr166vVjjeobJ/Fzp0712BPLJmv0grUzFYjRERUd3CEkIhIAS5dumTy/o477qjWyoaRkZHIy8ur\\\n",
       "bre8Qn5+vs0RoJtvvrmGe2MqISEBV65cMSmr7LlHsp87RwiJiGoTjhASEXmpU6dOmTzD9Ndffzl0\\\n",
       "Ppe6t58QAuHh4SZlx44d81Bv/ufgwYOe7kKdxVVGiUgpGAiJiLzQtWvX0KJFC5Oy1q1b488//7S7\\\n",
       "DWcCoRACPXr0QGRkZI1vZXD9+nV8++23mDdvnsWIZ03IycmRt7wQQiAxMbHG+1DRqVOnLJ4fLPfj\\\n",
       "jz/WcG/qHgZCIlIKBkIiIi9ka/uAtm3bWi3PzMy0KHN0L7zk5GSoVCrs3LkTOTk5CAwMdOh8Zy1a\\\n",
       "tAiSJCE4OBj//ve/8Z///AdxcXFW9+FzhE6ng0qlkr/Q27sCZ1X7FtaEvn37WvyDQEVDhgypwd7U\\\n",
       "TQyERKQUDIRERF7I0dG96OhoXL16Vf7iajQaHTo/MzMTv/76q0X5/fff71A7jjIYDJg4caLVY4WF\\\n",
       "hdVq18/Pz+RzjIqKcro9ANiwYQP8/PzQpUuXarVTFX9/f2zatKnKeosXL3ZrP+o6BkIiUgoGQiIi\\\n",
       "L2Rrdc/KNq8PCwuD0Wh0asuJhIQEq+XunpqYnp5u89ipU6ecbtfWKN+MGTOcaq9du3bo378/dDod\\\n",
       "9u/fb/Pz1el0CAwMRKNGjZy6TmZmJkpKSuyqO2HChBqf1ktERN6HgZCIqBZr3Lgx+vfvj+LiYpPy\\\n",
       "fv36mYz4AUCLFi1w5swZt/TD1vRSR6edOqpx48ZWy3U6XZXnVjYKamuE9YsvvrCvY2YOHz5sUebj\\\n",
       "Y7qQt16vh5+fH4qKinDx4kWnPjtbwdyWwMBAm88ZUuU4QkhESsFASERUi124cAEbNmxAQEAAGjRo\\\n",
       "YHKs4oifEAInTpxwWz8qbmpfUVpamtuuWc5oNKJBgwZQq9W45557IISARqOxWb9nz56QJAlqtdoi\\\n",
       "lAGoNCB17NjRJX0uv05ERARKS0tx8uRJaLVak+NCCGi1Wuh0OhiNRpw5cwbvvvtupaN69o4OVmT+\\\n",
       "GTgadGrjS6fTyb/vbb2qi4GQiJSC+xASEXmJjIwMj107PDwcLVq0wMmTJ+Wy4OBgtGnTxu3XliQJ\\\n",
       "Fy9etKvulStXsH37dvm9wWDApk2bcPfdd8tllY3MLVu2zKk+hoWF4dq1a1b7U1l4LR81rOjZZ5+F\\\n",
       "n5+fxajwqFGjnOobAISGhipm30hXcSToMRASkTdjICTycmfOnMGOHTtw7tw5FBUVITIyEu3bt0e3\\\n",
       "bt0svmgSVceJEydgNBpx+PBhtGnTxurom6fFxsZalA0YMMBkimllX96dXTnVfPpudZWUlKB+/fq4\\\n",
       "evUqgBtbXixdutTp9vLz82EwGKBWq13VRUVg0CMiJah9f5sTkV2WLVuGDz74AAcOHEB0dDTi4uLg\\\n",
       "7++Pq1ev4vTp0/Dz88OIESMwdepUNGnSxNPdJReobMGYmqJSqdC+fXtPd8OmsrIyizJ7n6H7559/\\\n",
       "qnVtIQR8fHxc9szetWvX4OPjAyGEw6vCWuPj44MnnnjCBT1TBo4QEpFS8BlCIi/Uvn17zJ8/H2PH\\\n",
       "jsW5c+dw6dIlpKam4o8//sDRo0eRn5+PNWvWwGg0olOnTli1apWnu0zVFBsb65IFYwwGA0JDQxEf\\\n",
       "H++S56xqmw4dOliU2bt4i6MLtlizZMmSardRUWVh8Ouvv3Y4LC5atMhVXSMiojqCgZDIC73xxhvY\\\n",
       "u3cvnnjiCavL12u1Wtx1111YvHgxjh8/jqZNm3qgl+QK5QtkuOL5wZKSEvj4+CA/Px/nzp2DSqXC\\\n",
       "6dOnXdDL2uO3336zKDMfNfz888/ddv2nnnrKZW01aNAAu3btsjr6FBYWJj9TKEkSZs2a5bLr0g1c\\\n",
       "VIaIlIKBkMgLJScn2103PDzcpSsnkve68847LcpatmzpgZ64T1BQkEWZ+UjohAkTLOrYerbuypUr\\\n",
       "6NChAw4ePFjltYuKiqwuLOOskydPokuXLlbvaePGjSbve/bs6bLr0g0MhESkFHyGkKiOyM7ORnZ2\\\n",
       "tsX0sbZt23qoR1Tb7N+/36LMYDAgPz8fISEhHuiR69kKds8//zzefPNNPP/88ygtLbU43rBhQ6vn\\\n",
       "RUREAPjfVFSdTmeyamhBQQEaNmyI/Pz86nbdREFBAQICAgDcWMwnLi7O5HiXLl1M3pcvPkOuw2cI\\\n",
       "iUgpGAiJvFxqairGjBmDY8eOySMhkiRBCAFJkrgpNckCAwNRWFjo6W5YCA8PlwNNSEiI1e0RLl++\\\n",
       "jKZNm6KsrAxff/01HnjgAattXb582Wr522+/jXfeecfmc5PLly+3KPv7778tysr3Eiz/M+YOsbGx\\\n",
       "JqOC1lZONbdjxw6r5SqVCmfPnkWDBg1gNBpRXFxcZ8K/uzEQEpFScMookZd76KGH0KJFC+zatQv/\\\n",
       "/PMPzpw5Y/JfonLXr1+3+OKalJTk0YDQt29fk9Gt/Px8SJKE9evXQwiB/Px8qNVqREVF4fr16ygp\\\n",
       "KcGwYcMgSRJmz55t0Z75SFpFlQW47t27W5SNHDnSqbaqQ6VSVfm86NChQy3KevToYVGm1WphMBjQ\\\n",
       "qFEjqFQq+Pj4IDg42GV9res4ZZSIlIKBkMjL/fPPP3jrrbfQtWtXxMfHo0mTJiYvooqMRiOEECgr\\\n",
       "K4MQAps2bfJof2xdf8CAAVCpVAgNDbW5iuaMGTMgSRJiY2MRGRkJlUrl1Ii4rW00/v3vfzvclj18\\\n",
       "fX2Rnp6O06dPy1NSJUnCU089ZbP/5SOAKpUK33//vcXx++67z6KspKTEalvlCxV580ur1bo9oDEQ\\\n",
       "EpFSMBASebk+ffrg8OHDnu4GeZnKNigvKytD3759sW3btirbeeihhxAUFISgoCB07NgRu3btsjuU\\\n",
       "VXwWrzoyMzORk5NT6aidWq1GXl4eSkpKMGLECPlL/Pvvv4+0tDSr57hyxdCKdDod4uLi0LRpU1y+\\\n",
       "fFneOuKDDz6weU6PHj0ghLD52UqShA0bNgC48bm6Yt9CIiJSBj5DSOTlPvvsM4wZMwZHjhxB69at\\\n",
       "4evra3J80KBBHuoZeSMhhPx7aNOmTfDz80NxcbFFvfPnz1uMQKelpeH222+32XZiYiLWr1+Pq1ev\\\n",
       "omvXrjUWWlQqlcnWE0uXLsXSpUvtOtcdzwq6azSpX79+dXJvSU/hM4REpBQMhERebvfu3di5cyd+\\\n",
       "/vlni2NcVIYcZT5yWFJSAl9fX5OVOVesWIHhw4c73Pbx48fRrFmzavfREd99953NBWjsYTQaUVJS\\\n",
       "An9//0rrNWjQABcvXjR574q9I8lzGAiJSCk4ZZTIyz355JMYOXIkLl26BKPRaPJiGKSKzp07h3bt\\\n",
       "2mHfvn0261gbYSorK0NWVpb83pkw6AkzZ86sVhgs5+fnh4KCApvHVSqVSRgEgPT09GpflzyLzxAS\\\n",
       "kVIwEBJ5uStXruCZZ55BdHS0p7tCtVjv3r0RHx+Pw4cPo2vXrjh9+rRD53fu3BkAXLrxujslJiZi\\\n",
       "xowZLmsvKCgIQ4YMsXrM1j+8fPbZZxZl1lYIpdqJgZCIlIKBkMjLDRkyBFu3bvV0N6iWM/89ctNN\\\n",
       "Nzl0fmJiIgAgNDTUZX1yF19fXxw7dsyhc4xGI86fP4+tW7ciLS0N165ds3jG8csvvzTZokOlUlX6\\\n",
       "HOT48eNNPi+1Wm11hdCaxGcM7cdASERKwWcIibxcixYtMG3aNPzxxx9o06aNxaIy7lopkWqGSqWC\\\n",
       "Wq3Gk08+iXfffdepL57Xr1+3Wp6bm4t69eqZlJk/L1hu48aNcn9iY2Nx6dIlh/vhagEBAahfvz4y\\\n",
       "MjLkYJaSkoIff/zRoXaaNWtW6Z6dWq0Wzz33HCZNmoTMzEyo1Wr4+vra9WuRm5srhzBPhYbi4mIE\\\n",
       "BATI7xkKiYioIgZCIi/32WefISgoCNu2bbPYJqB8bzPyXuV7Br733nt47733IEkSMjMzERUVZXcb\\\n",
       "27dvt1repEkT5OXlmZRZC4QqlQoq1f8mlJw9exZardaBu3A9SZLkTeurY+rUqZWGQeDGNhFz5szB\\\n",
       "pk2bsGfPHoev4enRo4phkOzHRWWISCk4ZZTIy505c8bmq6ovuvZauHAh4uPj4efnh65du1a6KAkA\\\n",
       "rFq1ComJifDz80ObNm3k/dHKCSEwffp0xMbGwt/fH0lJSTh16pRTfatqA2udTufw1K/a9LJ2v9HR\\\n",
       "0ZAkCcuWLbPrM1q7dq3V8vz8fIuyoqIii7JXXnnF5L2r9g+sDiFEtcMgALz99tt2192/f3+1r0fe\\\n",
       "oy5MGV23bl2t7RsR1R4MhER11KVLl/DWW29Vu52VK1diypQpmDFjBtLS0nDrrbciOTkZ2dnZVuvv\\\n",
       "2rULw4cPx/jx43Hw4EGkpKQgJSUFR44ckeu89dZbmD9/PhYvXoy9e/ciMDAQycnJKCkpqXZ/lWTk\\\n",
       "yJGQJAlardbmtFAAle65J0kSioqKIIRA06ZNrdYZMGBAtfvqqO+++07esL3i6GRFJ0+erNY1CgoK\\\n",
       "HJo+yS/WylIXAqEn/uwSkfeRBB8mIPJqDz30kNXyc+fOYd++fZUul2+Prl27onPnzliwYAGAG4tv\\\n",
       "NGrUCE8++SReeOEFi/oPPvggCgsLsW7dOrnstttuQ7t27bB48WIIIRAXF4f//Oc/ePbZZwEAeXl5\\\n",
       "iI6OxpIlS/Cvf/3Lrn7l5+dj3rx5VdbT6/WYO3euXW16O0mSoNPpTJ4jFULYDFT26tChA1JTU03K\\\n",
       "tFot9Hq9Q+34+vri7rvvthgxtsb8ryZrX7glSapyc/vr168jLCwMZWVl8PHxwffff49BgwYBAP71\\\n",
       "r3/hu+++s7v/x48fR8uWLe2uX1u0b98ehw4dkt/Xhb/2Z82aVWWdmTNnIi8vz2QhIHtER0cjOzsb\\\n",
       "U6dOtXtqtE6nw5tvvomoqCiTLVpqg/I/O3Xh152I3IMjhERe7tq1ayavnJwc7Nu3D7///jveeeed\\\n",
       "arWt1+uRmpqKpKQkuUylUiEpKQm7d++2es7u3btN6gNAcnKyXP/MmTPIzMw0qRMaGoquXbvabJPs\\\n",
       "I4SARqOBVqvFunXr8Nprr1U7DAJAWlqaRdnmzZut1g0PD7c5pVSlUuHDDz/EmDFjKr1ex44dLcqm\\\n",
       "Tp1qUSaEsDrFtVxWVhaCg4NRVlYG4MZ+iikpKQgMDESbNm0cCoNHjx71yjAIAAcPHvR0F7xSXRgh\\\n",
       "rMjb+ktENYeLyhB5OVsrKr722mtYvXo1HnvsMafbzsnJgcFgsNjjMDo6GsePH7d6TmZmptX6mZmZ\\\n",
       "8vHyMlt1rNHpdNDpdPJ7a8+/0Q16vR4DBw506zW6d+9u8t7HxwdHjx5Fs2bNcPHiRTRp0sTiHIPB\\\n",
       "gIiICLz55ptYtmyZHNTMWduaYfr06XjzzTctyh966CGsWLHCajvlW2WYKy4uxl9//WX1mDWNGjXC\\\n",
       "zTffbHf92kitVtvcL5HqtvKRwYSEBJw9e9aznSGiWokjhER11PDhw/H77797uhsuM3fuXISGhsqv\\\n",
       "Ro0aebpLimK+PYVKpZJXQBVCoLS0FM2bN4dKpULjxo2t/voIIRASEoLo6GiUlpZiy5YtFiMVERER\\\n",
       "iI+PtzjX1kqZK1eutNnn3NzcKu/LHufOnXP4nNLSUhQUFNSaEFZWVgY/Pz9Pd8PreOPooK0+ffjh\\\n",
       "hyYLbhERlWMgJKqjDh8+jPbt21erjYiICKjVaotnYrKyshATE2P1nJiYmErrl//XkTYBYNq0acjL\\\n",
       "y5NfFy5ccPh+yHl5eXlWv0TaWunTWl3zZ7l69eoFo9FoEiwvX75ssw+2rvXkk09alE2YMMFmO+5Q\\\n",
       "VlaGoKAg+cu4RqNBSEgIfHx8IEkS0tPTa7Q/1hQXFzMIOKAuTBmt2K+BAwfW2n4SkWcxEBJ5uSlT\\\n",
       "pli8RowYgVGjRqFRo0Ym5Y7SaDTo2LGjyfNiRqMRmzdvRrdu3aye061bN4vnyzZt2iTXT0hIQExM\\\n",
       "jEmd/Px87N2712abwI1FTEJCQkxeVLPq169vd92LFy9alL3++us269uzhUTnzp2tli9YsMBkNNBo\\\n",
       "NGLx4sVVd9JOt912W6XHjUYjfH19UVhYaLNOw4YN8fHHH7usT+R+dSEQAlwdl4iqxmcIibycrQUj\\\n",
       "OnfujOzsbHl7CGe/FEyZMgVjxoxBp06d0KVLF7z//vsoLCzEuHHjAACjR49GgwYN5JU8n376afTs\\\n",
       "2RPvvvsu+vfvjxUrVuDAgQP45JNP5H5MnjwZc+bMQfPmzZGQkIBXXnkFcXFxSElJcaqPVDPsnYJp\\\n",
       "K/iMHj26Wtdv3bq1zY3hw8LCANz4RwxHVz+tyr59+5Cfn2/zHyGCgoLsaufxxx+Hr6+vzZWBqXZx\\\n",
       "JOjVxtAVHh7u6S4QkZdgICTyclu3bnVr+w8++CAuX76M6dOnIzMzE+3atcPGjRvlRWHOnz9vspJl\\\n",
       "9+7dsXz5crz88st48cUX0bx5c6xevRqtW7eW6zz//PMoLCzEo48+itzcXPTo0QMbN2506hmnqr6I\\\n",
       "abVar54mV9u+aAYGBlY6EjZ8+HCbi7xU9xm2NWvWVFnH1WGwXGhoqM3fR8XFxXa3M378eAQHB+OB\\\n",
       "Bx5wVdfITbw9EF69etXTXSAiL8FASERVmjRpEiZNmmT1mLWFax544IFKv/BKkoTZs2dj9uzZrupi\\\n",
       "nWU0GnHhwgWrq3Z6QlFREXx9ffHNN9+gpKQEM2fOxMWLF+1aPKWgoAChoaFOXddgMFT6fGFN+PLL\\\n",
       "L+WR8XIlJSUOtzNs2DDs2LEDPXr0cFXXyA28NRAKIeT++Pn5oaSkpFb1j4hqHz5DSOSF7rnnHptT\\\n",
       "5yoqKCjAm2++iYULF9ZAr8gdJElC48aNa9UoZ1lZGYYPH45x48bh3Llzdq+kaU+obdq0qfxFXKVS\\\n",
       "oVOnTnjooYds7m1Yk6xN9fzzzz+dauuOO+7AgQMHqtslIqvKVxItLi7GK6+8IpcvWrTIg70iotqK\\\n",
       "I4REXuiBBx7A0KFDERoaioEDB6JTp06Ii4uDn58frl27hqNHj+KPP/7Ahg0b0L9/f7z99tue7jK5\\\n",
       "wN13341NmzZ5uhtOy8vLw7lz52wGQ7VaDaPRKL8XQiA1NRWpqak11cUqPfbYYybPSNraS9EenTt3\\\n",
       "xpUrVxxarIdqjreOEJrjbAwiqgoDIZEXGj9+PEaOHIlVq1Zh5cqV+OSTT5CXlwfgxheTW265BcnJ\\\n",
       "ydi/f7/Xb6hN//PLL7+YPK/pjeLj41FQUGCxEMuIESNMwmBt9cknn5gEwjZt2lSrvfDw8Fo1+kv/\\\n",
       "U1cCIRFRVRgIibyUVqvFyJEjMXLkSAA3Rl+Ki4sRHh4OX19fD/eO3KGqL52SJHlFuAgODsamTZuQ\\\n",
       "lJQEALh27RqWL1/u4V7Zr3Xr1jhy5AgAICAgoNrt7dixA3fccUe12yHXYiAkIqXw7n9qJiJZaGgo\\\n",
       "YmJiGAbrOGtfPDUaDYQQ8ibv5gsA3XfffdDr9SgtLUVCQoLFuZcuXarxaZl33303VCoVgoKCat2U\\\n",
       "SY1Gg4yMDKxdu9bq8b/++ktewfH69evVvt4999xT7TbI9erKPoRERFXhCCERUS0WEhKCsLAwJCUl\\\n",
       "oaioCCqVymIRl1WrVpm8//DDD/Hhhx9abe/vv/+WN4H/8MMP5fAYExNjsjphTRBCVLqFhTuV36f5\\\n",
       "iOrVq1flPQ0HDBhg8zNx5R5vRUVFLmnnn3/+QceOHREZGYmTJ0+6pE0lc/cIoa1zvGGUn4jqFo4Q\\\n",
       "EhHVYgUFBTh//jy++OILrFixwupzdoMHD0ZWVpZd7VUMH7/88ovL+ulNioqKYDQa5RHVNWvWoGvX\\\n",
       "rsjLy5PDYEWZmZlu75Mji9MIIfDLL79g8ODB6NGjB6KioiBJEpo1a4bc3FycOnUKTZs2dWNvqbpC\\\n",
       "QkI83QUiIhkDIRGRF7E1ehATEwNJkjBnzpxKz2/fvr3887p160w2crc3VHragAEDMGHCBKdGZQoL\\\n",
       "C+Hv729SNmjQIOzZs8fml/To6GgEBwc71Vd71atXz656Dz74IFQqFe655x789NNP2Llzp9X9Gc+e\\\n",
       "PWuzDUenQtbGl06nk7dWsPWqLndOGS0oKAAAt/SbiMhRDIRERHXIK6+8Uul0xr///tvkvVarhY+P\\\n",
       "D3x9fRETE+Pu7lVbfn4+1q5di0WLFsFoNOLMmTN2fxlv06aN04vA5OfnO3WevQoLC6FSqRAfH49J\\\n",
       "kyYhNTUVpaWl8vHjx49DkiR89913bu0H/U9NPEPI5xCJqDZgICTycmPGjMH27ds93Q2qRa5evWp1\\\n",
       "QZTylTHNGQwGp/fTCwoKQn5+PoqKinDXXXc51Ya9Zs6caTFSFx8fL0/9NBqN0Ol00Ol00Ov1uHjx\\\n",
       "Itq2bQu1Wo3Y2Fj83//9X7Wu/+OPP1br/KoIIXDu3DksXLgQnTp1gkajkYOCo9vHcKSp+pwJhNnZ\\\n",
       "2YiOjpZfAwcOdPiaREQ1jYGQyMvl5eUhKSkJzZs3x+uvv4709HRPd4lqgUGDBmHjxo3y+9zc3Grv\\\n",
       "mWcuJCQEBQUFCA4Ohr+/P7Zu3YrS0lJ88skn6NWrF2JjYx36gqtWq7Fnzx6UlZVBr9fj+++/R0RE\\\n",
       "BEJCQrB3717MmDGj0vMlSYJGo4FGo4Gvry8aNGiAw4cPo6ysDBkZGdW9XaSkpNg8dvr0aZNpf0VF\\\n",
       "RYiMjKz2NV3NG/Z6rC2cHSHMzs6WX+vWrav0GpwqSkS1AQMhkZdbvXo10tPTMWHCBKxcuRLx8fHo\\\n",
       "168fvv/+e5MpZ6Q8/fr1w9y5c7F27Vq3bO1w6tQpizIfHx888sgj2LJlC9LT05GdnQ2tVltlW0FB\\\n",
       "QdDpdOjatSvUajV8fX0xdOhQXL58GdeuXUOXLl1c3n9nNGrUyKIsMjLSYhEXf39/ZGVlwcfHc4t5\\\n",
       "W/vzX9mzhWTK2UAYFRUlvwYMGODBOyAisg8DIVEdEBkZiSlTpuDw4cPYu3cvbrrpJowaNQpxcXF4\\\n",
       "5plnrH5xJ2V48cUXMWjQIKdHIOrVq4fQ0FCL8p07dyIqKqrScyVJQkREBEpKSqDX663ukenv7w+j\\\n",
       "0YiCggJ5OwxzKlXt+avq/PnzJv1RqVTIzs62WleSJJSWltrcGzQuLg46nQ4lJSVVfpbOsPa8pLVf\\\n",
       "S3KdqKgoZGVlyS9be1kSEdUmtedvWSKqtkuXLmHTpk3YtGkT1Go17r33Xvz555+45ZZb8N5773m6\\\n",
       "e+RF9u3bByEErl27htzcXHlaW1lZGYQQ6N69u0Pt+fr6Qq/XQwiBnJwcXL16VZ5aWZuem6o44vP6\\\n",
       "669brWMwGHDu3Dn8+eefFntCWqPX6y1C7dmzZ5Geng6NRgOtVousrCyXj96VlZXh4sWLJmWu3D+x\\\n",
       "rqvpRWWIiDyFgZDIy5WWluK///0vBgwYgCZNmmDVqlWYPHkyMjIy8NVXX+G3337Dd999h9mzZ3u6\\\n",
       "q1SL+fv74/PPP0dpaSmEEOjcubPVerZG8RwRHh5udb8/dzp79izy8vIqrWPep5deeslm3caNG6N1\\\n",
       "69Z2X99gMOD8+fPYtm0bhBBo0qSJRZ0mTZpACIHp06fb3W5VHF3UhP7HnYHQ1og9nyUkIk/w3MMN\\\n",
       "ROQSsbGxMBqNGD58OPbt24d27dpZ1OnVq5fd+5yRsmg0Guh0Ok93w62WLFmCcePGAbjxJd/WwirW\\\n",
       "AqMkSS77kt6oUSOrzyCamzVrFmbNmgXgxihfSEgIiouLnbrmkiVLnDqPbnDnyB3DHxHVFhwhJPJy\\\n",
       "7733HjIyMrBw4UKrYRC48RzYmTNnarZj5BW+/PJLT3fB7Z5++mn5ZyEEBg0aZLXeggULrJYfO3bM\\\n",
       "Lf2yh4+PD4qKipwemb311ltd3CPlqIkpo0REtQEDIZGXGzVqFPz8/DzdDfJSb7/9tqe74Hbmo+O2\\\n",
       "Fvp44oknrK6IunfvXouyp59+GjfffDMyMzNd0seq7N+/3+Fz9Hq91fKKWx1460ur1bo9oDEQEpFS\\\n",
       "MBASEdVic+bMcevKkIcOHXJb2zXh6tWreOeddyrdX+/48eMWZbam65WUlGD9+vXy+/DwcIwdO1Z+\\\n",
       "bzQaIUkS5s+fj+PHj8t7Lbp7ixd7R/okSUL79u0hhLC5uinZh4GQiJSCgZCIqBZ76aWXkJub69YN\\\n",
       "xa1tT1BR06ZN5S+9o0aNslkvNzcXiYmJuPXWW/HTTz/hzJkzeOyxxyy+OKvVahw8eFAOZf/88w80\\\n",
       "Go18XKVSoaCgoMp+d+jQAeHh4XjuueegVqttbk/h7+/vUDi699575ZGonJwck2P79u2zeo5Go8G9\\\n",
       "995r9zUcZeve7rvvPpORM6PRiLS0NLf1g4iI6h4uKkNE5AXKFzdxx0hEcXEx8vPzERISYnFs7969\\\n",
       "Js+fLl26FADwzTffmNSLiYlBVlaW/H7w4ME2r2c0GtGhQwebx4UQ8kIqlU2HPnjwoMV5586ds7qC\\\n",
       "p16vR1BQEAoLC+Xphs6w9ZwuAPz888+QJAklJSVWp55WV1RUlMmeh+66Dt3gyMgfRwiJyJtxhJCI\\\n",
       "yIu4a3Gg2NhYq+V33nmnRVl5KCxXUFBgEgZdxd/f3+FzKpsCe/36deh0OhQVFTndJ3ue1/Xz85NH\\\n",
       "OtVqNdRqNXx9fdGtW7dqTS3NysrC/v37ceTIEfk5OnIfThklIqVgICQi8iLx8fFuaddWSLK1MEnF\\\n",
       "rSpshUlPqGxkErgxtdPW9Et7HT161K565VM4jUYjysrKsGfPHmg0GrRq1crpa3fq1Kla55P9GAiJ\\\n",
       "SCkYCImIyGEVA2F1RtyqUlZWZvPY/fffL/8cFBSEy5cvu60fFd18883VOv/o0aN2PSPpKkajEQUF\\\n",
       "BVi9ejV69OhRY9f1dgyERKQUfIaQiMiLWFsx0xOCgoLsqhcVFQUhhM2w5uNz468hW8Gvsv33Vq1a\\\n",
       "BYPB4PQefdWhUqmcXujnhRdeQHBwsIt79D8GgwGBgYEmoZ0cx2cIiUgpOEJIRORFunfvXmPXsrU1\\\n",
       "A2C66qWtL8NRUVHIyspCdnY2li1bZnH8zTffhE6ng16vx6effmpx3J4v5J4Ig0Dln01lmjdvjrlz\\\n",
       "57q4N6YCAgIYBomIyG4MhEREXuLxxx/HtWvX3Nb+zJkzTd7bu2iJrVBWcaGZf//73xabiz///PNQ\\\n",
       "qVSQJAkPP/wwhBAoKyvD+vXrcerUKbdutVFdzgTCJUuW4OTJk27ozQ3leyTaeu6THMMpo0SkFAyE\\\n",
       "RES1WLt27RAcHAxJkvDxxx+79VqzZs2Cn58fevbs6dBm69amezq7J59arca9996Lm266yaT89ttv\\\n",
       "N/ny/cknnzjVvi2//vorVCoVtFptlaNrzm74PmbMGKfOMxqNSE9Pr7Kep0ZL6yoGQiJSCgZCIqJa\\\n",
       "7PDhw7h+/XqNXU+n02H79u2V1omLizN5b220zNoU0Or0adeuXSZljz32mMvaLyoqQnJyMoQQ0Ov1\\\n",
       "8PPzw+HDh63WnTBhQqUL3bja2rVroVar0bBhQ0iSZPPXhoHE9RgIiUgpGAiJiLyMr6+v06NUrnD+\\\n",
       "/Pkq60RGRrrselu3brVabjAYXNJ+RESERZmtDegXL17s9HUcnQJrMBgwaNAgk7KePXuafLZXr15l\\\n",
       "GHETBkIiUgoGQiIiL3LfffdBr9dDr9fjhRdeqPHrN2/e3K6pia4MrLY2qHdVICwuLq7W+ZIkYc2a\\\n",
       "NTh37hwCAgJs1nN0Smf5CqzmcnJy5BASHh7uUJtkPwZCIlIKBkIiIi/yww8/yD+//vrrdp0jSRL2\\\n",
       "798vb5JeXFyM+vXrO3xtlUpl16Iorv5y3K1bN6vlVYXO8gVr7N0iwx6XLl2Sf/bx8YFer4fRaMSg\\\n",
       "QYPQuHFjFBYWomXLlpX2qSrHjh1jwCAiohrDQEhE5EUqTte05zk9IQSMRiM6deokj2T4+fnhypUr\\\n",
       "EEKgsLDQ7mvbGpErLCyUA8xXX33l8tVBNRqN1fLKQpMkSfKzjYWFhQgLC7Nar1WrVlbLbd1rTEyM\\\n",
       "vEpqaWmp1VBa2V6RQogqR5puueUWm+dTzeEIIREpBQMhEZEXadKkCRYtWoRJkyZVubDK1atXq2wv\\\n",
       "ICAAhw4dqlafAgICYDQaIYTA6NGjLY5/+OGHUKlULp/eaGtxF2sBMjc316JMCIGjR49alAcEBNg1\\\n",
       "kmfLL7/84vS5joqOjsbVq1dRVlaG69evY9asWdXqO/0PAyERKQX/1iAi8jITJ07EwoULq6xna1TM\\\n",
       "3K233orExMTqdssqvV6Pp556CkIIly+A4ufnZ1H2n//8x+Z2GY8++qj8sxDCZnCqzqquubm5uOee\\\n",
       "e5w+3xGlpaXIzMxEWFgY1Go1AgMDMX36dBgMBu5F6AIMhESkFAyERESEY8eO2Vy8pZwzzx3Onj3b\\\n",
       "oqxx48YOtWFrE3iDwQBJkhAbG4uQkBCoVCrMmzfPZjuffvop1Go1NBqNzTDo7Jd7IQR8fHzsDuHV\\\n",
       "9c0339hcdAa48XxlRkZGjfSlrmIgJCKlYCAkIiIAN/bjq2wlzGvXriEgIMBmQLPm8ccftyi7cOGC\\\n",
       "Q/2yNhJYUWZmJgoKCuzql9FotDmCCACdOnVyqG8AkJiYCJVK5bJVT+0xcuTIKuvExsbWQE/qNoZB\\\n",
       "IlICBkIiIpJdvny50uPFxcXy6p3lr549e9qs37BhQ4uyyka2zG3cuLFGpz9mZWVZLc/JyUF+fr5J\\\n",
       "2fXr1yFJEk6cOFETXSMiInIL+/9WJiIir6LX622u0GnL6dOnHb7O9u3bUVZWZjPoCSGgVqvl1Ud1\\\n",
       "Op3dbffr18/h/lTH+fPnkZ6ejgYNGsBoNDq8d2BNeOONN+yqV5MjlnWRI6N/HCUkIm/GEUIiojrq\\\n",
       "wQcftLtuUVERmjZtis6dOzt1rapWtjQYDPJ2DfaugunISKIrNWzYEJIk1cowqNVqMXXqVLvqVlxE\\\n",
       "hxzHZwiJSCkYCImI6qjVq1dXWefKlSuQJAmBgYE4c+aMU9cpX9DF1Rwd4fLx8cGFCxdqbJXPmtag\\\n",
       "QQOUlJTYXf+LL75wY2/qPgZCIlIKBkIiojqsqoVWIiIiqtX+O++8g7y8vGq1YY2jz+U1adIEer0e\\\n",
       "DRs2xM8//4whQ4ZYrSdJEoYMGVLt0b8tW7bIey+Wb/NQcRRUCIH/+7//q9Y1zH322WcubY8qx0BI\\\n",
       "RErBZwiJiOqwyMhI5OTkWD323XffOd3uoEGDsGbNGqfPr8oLL7zgUP3NmzebfCn/73//C5VKZRKI\\\n",
       "GzVqhPPnz8vvHf0SL0kScnNzERISYlKuUqmsjpC2adMGFy9etLqwjjMGDBgAnU5nV5itV6+eS66p\\\n",
       "ZHyGkIiUgiOERER12JUrV7B+/Xqrx5599lmn2kxNTXVrGBRCYOPGjQBuhK20tDQYDAacPHnS5jl/\\\n",
       "/vmnRZnRaJSfQ3zooYdMwiBg/7YML7zwAoQQMBqNFmGwKg0aNHBZWDAYDPDx8cHAgQMrrdeiRQu3\\\n",
       "jNoqDUcIiUgpGAiJiOq4AQMGoEmTJhblju4HCABqtRodOnSweTw3Nxddu3aFn5+fxfYU5q/27dub\\\n",
       "bOVgMBjQt29fqFQqlJSUQKPRoKysDO3bt4dKpULz5s3x008/Wb3u0KFDre4vWFpaCiEEPv/8c4tj\\\n",
       "DRo0qPRek5OTIYTA3LlzK61XlT/++KNa55tbt26d/BkGBgYiIiIC/v7+ctmpU6cqPd/RoFMbXzqd\\\n",
       "zmR6rrUXERHZh1NGiYgU4Pz585AkCSNHjsRXX32FXr16OdWOrYVKVq1ahWHDhjnU1qFDhxAaGmrz\\\n",
       "uNFotBh5ueOOO2zW1Wq18tYW9jhy5IjV8piYGFy6dMnudqrSvXt3l7VlrqioCEVFRW5rX8k4ZZSI\\\n",
       "lIKBkIhIQZYuXYqlS5c6ff6oUaMsyiruMehKZWVlFmWJiYk265fvd6jX66t8zm7nzp0WK3b+9NNP\\\n",
       "VU7HdJbBYKiV21iQbQyERKQUDIRERGRBpVKhbdu28PX1RVZWFvr06YPPPvvM5IuvI3sKOkur1aK4\\\n",
       "uBgqlQqPPvoosrKyKq1f8bnBilQqFcLDw1FSUoKCggKTY0lJSdi0aZNL+23t+kaj0e2fF7kOAyER\\\n",
       "KQUDIRERWfj555/Rt2/fSusEBga6vR/2jPbZw2g04vLly1aPuTsMlpMkCUIIhgcvwUBIRErBf6ok\\\n",
       "IiILnTp1qrJOcXFxDfSk7jl06JBL21OpVLh69aq8EmpaWhoDigtwlVEiUgoGQiIisrBt2zZPd6HG\\\n",
       "uHpFyrNnz8ohwXwvRAC49dZbXXat3r17w2AwICwsDADk1VuNRiOuX7/OoEJERFViICQiIgvDhw/3\\\n",
       "dBdqjK+vr0vbS0hIkH+29pylqwLojBkzsHnzZpvHAwMDYTQaUVZWhoULFyIhIaHSVV3JFEcIiUgp\\\n",
       "+AwhERFZ0Ol0nu5CjTEYDJAkCWPGjEHDhg3x1ltvyXsalpSUQKvVVvsakiTh+vXr8Pf3r3Yo02g0\\\n",
       "8kI79lCr1XjiiSfwxBNPyH2hqvEZQiJSCgZCIiKyKjAwEIWFhVaPpaam1nBv3O+rr76yKPPz83N4\\\n",
       "RM/Hx8fqlhlBQUFO9w24seKq+VYZ5D4MhESkFJwySkREVhUVFcHX19dij8Enn3zSYtGZwMBAXL16\\\n",
       "FUajEXq9HsuXL0dQUFCd+KLsaCB0x+hq+ZYZriCE8PqXVqt1+xROThklIqVgICQiq0pLSzF16lS0\\\n",
       "adMGgYGBiIuLw+jRo5GRkVHluQsXLkR8fDz8/PzQtWtX7Nu3z+R4SUkJJk6ciPDwcAQFBWHo0KFV\\\n",
       "7i+nVHfeeSfq1avnseuXlZVBrVabfPFdsGCBSR21Wo3r168jLCwMkiTB19cXw4cPR0FBAYxGo8WX\\\n",
       "eYPBgNdee81Dd+S4Y8eOOVRfpVLJi7y4iq0tM8h9GAiJSCkYCInIqqKiIqSlpeGVV15BWloafvjh\\\n",
       "B5w4cQKDBg2q9LyVK1diypQpmDFjBtLS0nDrrbciOTkZ2dnZcp1nnnkGa9euxapVq7Bt2zZkZGRg\\\n",
       "yJAh7r4lr7Rt2zZcu3YNQgj897//9XR3rIqIiHCovkqlwosvvug1e/Lde++9Dp+Tk5Pj0j6Yj9I6\\\n",
       "KicnB5mZmdDr9S7qERER1RUMhERkVWhoKDZt2oRhw4ahZcuWuO2227BgwQKkpqbi/PnzNs+bN28e\\\n",
       "HnnkEYwbNw633HILFi9ejICAAHzxxRcAgLy8PHz++eeYN28eevfujY4dO+LLL7/Erl27sGfPnpq6\\\n",
       "Pa80ZMgQl2zS7mrV2Y/www8/dGFP3CM9Pd3hc+xd8MVeP/30k9Pn9uvXD5GRkYiNjXXJAjlKwRFC\\\n",
       "IlIKBkIislteXh4kSbI5hVGv1yM1NRVJSUlymUqlQlJSEnbv3g3gxmIkpaWlJnUSExPRuHFjuQ7Z\\\n",
       "Zm2xEk/Lz893+tyJEye6sCfuURs+8yFDhkCr1eLkyZMOnZeSkoKNGze6qVd1GwMhESkFAyER2aWk\\\n",
       "pARTp07F8OHDERISYrVOTk4ODAYDoqOjTcqjo6ORmZkJAMjMzIRGo7EIlRXrWKPT6ZCfn2/yUipX\\\n",
       "b6TuCv7+/k6f+9BDD1ktHzNmjPzcobW9Aq0tNuLj457Fs++44w6H6gcEBLi8D3q9Hi1btpQDiD3T\\\n",
       "SNesWePyfigJwyARKQEDIREBAJYtW4agoCD5tWPHDvlYaWkphg0bBiEEPvroI4/0b+7cuQgNDZVf\\\n",
       "jRo18kg/aguj0VirvoiWlJTgvffec+rcRYsWWS1fsmSJ/LP5tNRt27ZZPcdd+yf+8ccfdte95557\\\n",
       "qjWN1l5VTR82GAxu70NdVpMjhAyXRORJDIREBAAYNGgQDh06JL/KtxUoD4Pnzp3Dpk2bbI4OAjcW\\\n",
       "F1Gr1RYrhmZlZSEmJgYAEBMTA71ej9zcXJt1rJk2bRry8vLk14ULF5y807qhfITIYDBgw4YN0Gg0\\\n",
       "nu4SpkyZIm/o7gh7nmszDz+33Xab1XqufnavovLnYCsTEBCAX375xW19MDd69Gibx/i8YPXUVCBk\\\n",
       "CCQiT2MgJCIAQHBwMG666Sb55e/vL4fBU6dO4bfffkN4eHilbWg0GnTs2BGbN2+Wy4xGIzZv3oxu\\\n",
       "3boBADp27AhfX1+TOidOnMD58+flOtZotVqEhISYvOhGAOrXrx90Ol2tWEHSlcG04pTIN954w+TY\\\n",
       "9evXbZ5XnemrlRk/frzNY7m5uZAkqUZGBitavnw5tFotVCoVJEmCSqWSf+YIYfXURCBMSEhwca+J\\\n",
       "iBzHQEhEVpWWluL+++/HgQMHsGzZMhgMBmRmZlosXd+nTx+TfemmTJmCTz/9FF999RWOHTuGCRMm\\\n",
       "oLCwEOPGjQNwY/XS8ePHY8qUKdi6dStSU1Mxbtw4dOvWzeaoj5JFRESgcePGmD17dpXPDvr6+mLs\\\n",
       "2LE107FKLF682KKsXr168hdn83Bna9ETf39/lJWV4ciRI5g2bZrJMfP3FRUUFFiUqdVqvPrqq/jx\\\n",
       "xx/RoEEDe27DKkmSTDaI1+v18PHxcfm+g1WJjY3F119/LY+4l//eKH+WkjwjOzsb0dHR8mvgwIGV\\\n",
       "1j979iyA2vlcMBEphyT4fyEisuLs2bM2//V669atuOuuuwAA8fHxGDt2LGbOnCkfX7BgAd5++21k\\\n",
       "ZmaiXbt2mD9/Prp27SofLykpwX/+8x98++230Ol0SE5OxqJFiyqdMmouPz8f8+bNs+tf5mfMmGF3\\\n",
       "u7WN+f3FxsYiIyPDZv2SkhK3jZA5ouJfLXq93ur0xaZNm0Kj0eD48eMOtx8cHFzpwkIlJSVo3bo1\\\n",
       "+vXrZ3Nri6FDh+KHH35w+Nqu4uvri8LCQvj4+OCzzz7Do48+WuU5oaGhJtOtjUajw1uR1IW/9mfN\\\n",
       "mlVlnZkzZyIvL8/h2QTR0dHIzs7G6tWrERgYaNc5hYWFSElJsXrM1udd/me7V69e2LJli/y+Lvz6\\\n",
       "EJF3cc9ybETk9eLj4+36YlL+L9wVTZo0CZMmTbJ5jp+fHxYuXIiFCxdWp4uKdOnSJfz+++9yIDdX\\\n",
       "3Q3M7TF48GC8++676NKlC65evVpl/by8PKvl//zzj9N9qGp6rJ+fH/7+++9K6/z3v//FkiVL5NHr\\\n",
       "muTj42NyD4888gjOnDmDuXPn2jzH39/f4tnb8imiNfHrrjSOTAWtWC8qKkr+uUuXLlXW37Jli5M9\\\n",
       "JCJyDU4ZJSLyMr169bJ5LDU11a3XFkJg9erVaNasGa5cuYJ27dpVeU79+vVd3g9XbevgqSm2hYWF\\\n",
       "FmWvvfZapecUFRVZLZ89e7ZL+kSmnHmGMCoqCllZWfJr7dq1dl+n4ntPreZMRMrEQEhEVIcsXbrU\\\n",
       "bW1bm9KYlpZW5XmOTmm0hysX4/DEFibWFt9xdmGSiRMnVrc7ZIU7F5Wp6jnWCRMmVKfrREQO4ZRR\\\n",
       "IqJazNHniT7++GN8/PHHbuqNJUmS7OpjbX4u6vz5857ugsyZz6levXq1+vP1Vs5OGbXHxYsXbbbB\\\n",
       "X0siqmkcISQiIiIiIlIojhASERERmXHnCKE1HBkkIk9hICQiIiIyU9OBkIjIUxgIiYiIiMwwEBKR\\\n",
       "UjAQEhEREZlhICQipWAgJCIiIjLDQEhESsFVRomIiIiIiBSKI4REREREZjhCSERKwUBIREREZIaB\\\n",
       "kIiUgoGQiIiIyAwDIREpBQMhERERkRkGQiJSCgZCIiIiIisY9IhICbjKKBERERERkUJxhJCIiIjI\\\n",
       "DKeMEpFSMBASERERmWEgJCKlYCAkIiIiMsNASERKwUBIREREZIaBkIiUgoGQiIiIyAwDIREpBQMh\\\n",
       "ERERkRkGQiJSCm47QUREREREpFAcISQiIiIywxFCIlIKBkIiIiIiMwyERKQUDIREREREZhgIiUgp\\\n",
       "GAiJiIiIzDAQEpFSMBASERERmWEgJCKl4CqjRERERERECsURQiIiIiIzHCEkIqVgICQiIiIyw0BI\\\n",
       "RErBQEhERERkhoGQiJSCgZCIiIjIDAMhESkFAyERERGRGQZCIlIKrjJKRERERESkUBwhJCIiIjLD\\\n",
       "EUIiUgoGQiIiIiIrGPSISAkYCImIiIjMcISQiJSCgZCIiIjIDAMhESkFAyERERGRGQZCIlIKBkIi\\\n",
       "IiIiMwyERKQU3HaCiIiIiIhIoThCSERERGSGI4REpBQMhERERERmGAiJSCkYCImIiIjMMBASkVIw\\\n",
       "EBIRERGZYSAkIqVgICQiIiIyw0BIRErBVUaJiIiIiIgUiiOERERERGbcOUJoq74QwqF2iIhcgSOE\\\n",
       "RERERGbKA6G9L1dITEx0STtERI7gCCERERGRGXeOEJqPBGo0GpSWluLEiRMOtUNE5AoMhERU582a\\\n",
       "NcvTXSAiL+NMIMzOzkZ0dLRc3qVLF6xdu7bK80tLS53rJBGRCzAQEhEREZlxdoQwOztb/nndunVV\\\n",
       "nluxDp8hJCJPYCAkIiIicpGoqCj55y5dulRZf+DAge7sDhFRlRgIiYiIiMw4M0IYFRWFrKwsh65R\\\n",
       "jqODROQpXGWUiOzy+OOPQ5IkvP/++1XWXbhwIeLj4+Hn54euXbti3759JsdLSkowceJEhIeHIygo\\\n",
       "CEOHDnXoSxQRkbu5c5XRkydPMgwSUa3BQEhEVfrxxx+xZ88exMXFVVl35cqVmDJlCmbMmIG0tDTc\\\n",
       "euutSE5ONnmu5plnnsHatWuxatUqbNu2DRkZGRgyZIg7b4GIyCHuDIQtW7a0eq2uXbu68haIiOzC\\\n",
       "QEhElUpPT8eTTz6JZcuWwdfXt8r68+bNwyOPPIJx48bhlltuweLFixEQEIAvvvgCAJCXl4fPP/8c\\\n",
       "8+bNQ+/evdGxY0d8+eWX2LVrF/bs2ePu2yEisltN7kEIwGI2BRFRTWAgJCKbjEYjRo0aheeeew6t\\\n",
       "WrWqsr5er0dqaiqSkpLkMpVKhaSkJOzevRsAkJqaitLSUpM6iYmJaNy4sVyHiMjT3DlCKISw+SIi\\\n",
       "qmlcVIaIbHrzzTfh4+ODp556yq76OTk5MBgMJvtwAUB0dDSOHz8OAMjMzIRGo0G9evUs6mRmZtps\\\n",
       "W6fTQafTye/z8/PtvAsiIiIisoUjhEQEAFi2bBmCgoLk17Zt2/DBBx9gyZIlLp0S5ay5c+ciNDRU\\\n",
       "fjVq1MjTXSKiOsydI4RERLUJAyERAQAGDRqEQ4cOya9du3YhOzsbjRs3ho+PD3x8fHDu3Dn85z//\\\n",
       "QXx8vNU2IiIioFarLVYMzcrKQkxMDAAgJiYGer0eubm5NutYM23aNOTl5cmvCxcuVOt+iYgqw0BI\\\n",
       "RErBKaNEBAAIDg5GcHCw/P7RRx+12DA5OTkZo0aNwrhx46y2odFo0LFjR2zevBkpKSkAbjyHuHnz\\\n",
       "ZkyaNAkA0LFjR/j6+mLz5s0YOnQoAODEiRM4f/48unXrZrN/Wq0WWq22OrdIRGQ3Z/YhJCLyRgyE\\\n",
       "RGRVeHg4wsPDTcp8fX0RExNjsmR6nz59cN9998mBb8qUKRgzZgw6deqELl264P3330dhYaEcIkND\\\n",
       "QzF+/HhMmTIF9evXR0hICJ588kl069YNt912W83dIBFRJRgIiUgpGAiJqFpOnz6NnJwc+f2DDz6I\\\n",
       "y5cvY/r06cjMzES7du2wceNGk4Vm3nvvPahUKgwdOhQ6nQ7JyclYtGiRJ7pPRGQVAyERKYUkuMYx\\\n",
       "EXmh/Px8zJs3j1/EiMiqmTNnIi8vDyEhIQ6dFx0djezsbGRkZNh9bn5+PuLi4hAVFWXxDDURUW3H\\\n",
       "RWWIiIiIiIgUilNGiYiIiMxwyigRKQUDIREREZEZBkIiUgoGQiIiIiIzDIREpBQMhERERERmGAiJ\\\n",
       "SCkYCImIiIjMMBASkVJwlVEiIiIiIiKF4gghERERkRmOEBKRUjAQEhEREZlhICQipWAgJCIiIjLD\\\n",
       "QEhESsFASERERGSGgZCIlIKBkIiIiMgMAyERKQVXGSUiIiIiIlIojhASkVcSQni6C0RUy1Xn/xMF\\\n",
       "BQV2j/wVFBQ4fR0iIk9jICQir1RQUIBZs2Z5uhtEVIsVFBQgNDTUoXNatWqF7OxsNGrUyOHrtWrV\\\n",
       "yuFziIg8TRL8Z3Yi8kJGoxEZGRkIDg5W9PM7+fn5aNSoES5cuICQkBBPd8dj+DncwM/hBiEECgoK\\\n",
       "EBcXB5XK8adjevfujb/++suhc1q1aoUtW7Y4fC0iIk9jICQi8mL5+fkIDQ1FXl6eogMAP4cb+DkQ\\\n",
       "EZGjuKgMERERERGRQjEQEhERERERKRQDIRGRF9NqtZgxYwa0Wq2nu+JR/Bxu4OdARESO4jOERERE\\\n",
       "RERECsURQiIiIiIiIoViICQiIiIiIlIoBkIiIiIiIiKFYiAkIqpFSktLMXXqVLRp0waBgYGIi4vD\\\n",
       "6NGjkZGRUeW5CxcuRHx8PPz8/NC1a1fs27fP5HhJSQkmTpyI8PBwBAUFYejQocjKynLXrVRLVfdi\\\n",
       "btWqVUhMTISfnx/atGmDDRs2mBwXQmD69OmIjY2Fv78/kpKScOrUKXfeQrXNnTsXnTt3RnBwMKKi\\\n",
       "opCSkoITJ05UeV5d/CyIiMh9GAiJiGqRoqIipKWl4ZVXXkFaWhp++OEHnDhxAoMGDar0vJUrV2LK\\\n",
       "lCmYMWMG0tLScOuttyI5ORnZ2dlynWeeeQZr167FqlWrsG3bNmRkZGDIkCHuviWH2XMvFe3atQvD\\\n",
       "hw/H+PHjcfDgQaSkpCAlJQVHjhyR67z11luYP38+Fi9ejL179yIwMBDJyckoKSmpqdty2LZt2zBx\\\n",
       "4kTs2bMHmzZtQmlpKfr27YvCwkKb59TVz4KIiNxIEBFRrbZv3z4BQJw7d85mnS5duoiJEyfK7w0G\\\n",
       "g4iLixNz584VQgiRm5srfH19xapVq+Q6x44dEwDE7t273dd5J1R1L+aGDRsm+vfvb1LWtWtX8dhj\\\n",
       "jwkhhDAajSImJka8/fbb8vHc3Fyh1WrFt99+64Y7cI/s7GwBQGzbts1mHaV8FkRE5DocISQiquXy\\\n",
       "8vIgSRLq1atn9bher0dqaiqSkpLkMpVKhaSkJOzevRsAkJqaitLSUpM6iYmJaNy4sVynNrDnXszt\\\n",
       "3r3bpD4AJCcny/XPnDmDzMxMkzqhoaHo2rVrrbr3quTl5QEA6tevb7OOUj4LIiJyHQZCIqJarKSk\\\n",
       "BFOnTsXw4cMREhJitU5OTg4MBgOio6NNyqOjo5GZmQkAyMzMhEajsQiVFevUBvbci7nMzMwq7728\\\n",
       "zN42axuj0YjJkyfj9ttvR+vWrW3WU8JnQURErsVASETkQcuWLUNQUJD82rFjh3ystLQUw4YNgxAC\\\n",
       "H330kQd7SZ42ceJEHDlyBCtWrPB0V4iIqI7x8XQHiIiUbNCgQejatav8vkGDBgD+FwbPnTuHLVu2\\\n",
       "2BwdBICIiAio1WqLFUOzsrIQExMDAIiJiYFer0dubq7JKGHFOrWBPfdiLiYmpsp7Ly+LjY01qdOu\\\n",
       "XTsX9t49Jk2ahHXr1mH79u1o2LBhpXXr+mdBRESuxxFCIiIPCg4Oxk033SS//P395TB46tQp/Pbb\\\n",
       "bwgPD6+0DY1Gg44dO2Lz5s1ymdFoxObNm9GtWzcAQMeOHeHr62tS58SJEzh//rxcpzaw517MdevW\\\n",
       "zaQ+AGzatEmun5CQgJiYGJM6+fn52Lt3b626d3NCCEyaNAk//vgjtmzZgoSEhCrPqaufBRERuZGn\\\n",
       "V7UhIqL/0ev1YtCgQaJhw4bi0KFD4tKlS/JLp9PJ9Xr37i0+/PBD+f2KFSuEVqsVS5YsEUePHhWP\\\n",
       "PvqoqFevnsjMzJTrPP7446Jx48Ziy5Yt4sCBA6Jbt26iW7duNXp/9qjqXkaNGiVeeOEFuf7OnTuF\\\n",
       "j4+PeOedd8SxY8fEjBkzhK+vr/jzzz/lOm+88YaoV6+eWLNmjfi///s/MXjwYJGQkCCKi4tr/P7s\\\n",
       "NWHCBBEaGip+//13k98HRUVFch2lfBZEROQ+DIRERLXImTNnBACrr61bt8r1mjRpImbMmGFy7ocf\\\n",
       "figaN24sNBqN6NKli9izZ4/J8eLiYvHEE0+IsLAwERAQIO677z5x6dKlGrgrx1V2Lz179hRjxowx\\\n",
       "qf/dd9+JFi1aCI1GI1q1aiXWr19vctxoNIpXXnlFREdHC61WK/r06SNOnDhRE7fiNFu/D7788ku5\\\n",
       "jlI+CyIich9JCCE8MzZJREREREREnsRnCImIiIiIiBSKgZCIiIiIiEihGAiJiIiIiIgUioGQiIiI\\\n",
       "iIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEihGAiJiMgrfP755+jbt6/b\\\n",
       "r7Nx40a0a9cORqPR7dciIiLyNAZCIiKq9UpKSvDKK69gxowZbr/WPffcA19fXyxbtszt1yIiIvI0\\\n",
       "BkIiIqr1vv/+e4SEhOD222+vkeuNHTsW8+fPr5FrEREReRIDIRER1ZjLly8jJiYGr7/+uly2a9cu\\\n",
       "aDQabN682eZ5K1aswMCBA03K7rrrLkyePNmkLCUlBWPHjpXfx8fHY86cORg9ejSCgoLQpEkT/PTT\\\n",
       "T7h8+TIGDx6MoKAgtG3bFgcOHDBpZ+DAgThw4ABOnz7t/M0SERF5AQZCIiKqMZGRkfjiiy8wc+ZM\\\n",
       "HDhwAAUFBRg1ahQmTZqEPn362Dzvjz/+QKdOnZy65nvvvYfbb78dBw8eRP/+/TFq1CiMHj0aI0eO\\\n",
       "RFpaGpo1a4bRo0dDCCGf07hxY0RHR2PHjh1OXZOIiMhbMBASEVGNuvfee/HII49gxIgRePzxxxEY\\\n",
       "GIi5c+farJ+bm4u8vDzExcU5fb3HHnsMzZs3x/Tp05Gfn4/OnTvjgQceQIsWLTB16lQcO3YMWVlZ\\\n",
       "JufFxcXh3LlzTl2TiIjIWzAQEhFRjXvnnXdQVlaGVatWYdmyZdBqtTbrFhcXAwD8/Pyculbbtm3l\\\n",
       "n6OjowEAbdq0sSjLzs42Oc/f3x9FRUVOXZOIiMhbMBASEVGNO336NDIyMmA0GnH27NlK64aHh0OS\\\n",
       "JFy7dq3Kdg0Gg0WZr6+v/LMkSTbLzLeZuHr1KiIjI6u8JhERkTdjICQiohql1+sxcuRIPPjgg3j1\\\n",
       "1Vfx8MMPW4zOVaTRaHDLLbfg6NGjFsfMp3n+888/LuljSUkJTp8+jfbt27ukPSIiotqKgZCIiGrU\\\n",
       "Sy+9hLy8PMyfPx9Tp05FixYt8NBDD1V6TnJyMv744w+L8jVr1uCHH37A6dOn8dprr+Ho0aM4d+4c\\\n",
       "0tPTq9XHPXv2QKvVolu3btVqh4iIqLZjICQiohrz+++/4/3338c333yDkJAQqFQqfPPNN9ixYwc+\\\n",
       "+ugjm+eNHz8eGzZsQF5enkl5//798dZbb+GWW27B9u3bsWjRIuzbtw/ffPNNtfr57bffYsSIEQgI\\\n",
       "CKhWO0RERLWdJCqus01ERFRLPfDAA+jQoQOmTZsG4MY+hO3atcP777/v0uvk5OSgZcuWOHDgABIS\\\n",
       "ElzaNhERUW3DEUIiIvIKb7/9NoKCgtx+nbNnz2LRokUMg0REpAgcISQiIq/krhFCIiIiJWEgJCIi\\\n",
       "IiIiUihOGSUiIiIiIlIoBkIiIiIiIiKFYiAkIiIiIiJSKAZCIiIiIiIihWIgJCIiIiIiUigGQiIi\\\n",
       "IiIiIoViICQiIiIiIlIoBkIiIiIiIiKFYiAkIiIiIiJSKAZCIiIiIiIihWIgJCIiIiIiUigGQiIi\\\n",
       "IiIiIoViICQiIiIiIlIoBkIiIiIiIiKF+n+U7JRL0P85FAAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[37] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAbmRJREFUeJzt3Xd4VMXiPvD3bLLZ9ASSkEILUqQXqVE0CvkZBYUoovIVAeWK\\\n",
       "IqiIV71YaHJFURG5gHitV6UZr4IKokjvSAcpIoQa0iCNtG3z+4Mn52Z7yW42m/N+nmcfs3PmzJnd\\\n",
       "BLNvZs6MJIQQICIiIiIiIsVR+boDRERERERE5BsMhERERERERArFQEhERERERKRQDIREREREREQK\\\n",
       "xUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhERERERKRQDIREREREREQK\\\n",
       "xUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhERG7ZtGkTJEnCpk2bfN0V\\\n",
       "8rA9e/YgKCgI586dq/NrX7lyBWFhYVizZk2dX5uISIkYCImIyK5Fixbhiy++8HU33LJ06VLMmzfP\\\n",
       "190AABiNRsyZMwetWrVCcHAwunbtimXLljl9flFREcaNG4e4uDiEhYXhjjvuwP79+y3qrVixAiNH\\\n",
       "jkTbtm0hSRJuv/12l/v66quvYsSIEWjZsqXL59ZWTEwM/va3v+H111+v82sTESmRJIQQvu4EERHV\\\n",
       "X507d0ZsbKzFSKDRaIRWq0VQUBBUqvr598V77rkHR48exdmzZ33dFUyZMgVvvfUWnnjiCfTu3Rur\\\n",
       "Vq3C6tWrsWzZMjz88MN2zzUajbj11ltx6NAhvPjii4iNjcWiRYtw4cIF7Nu3D23btpXr3n777di3\\\n",
       "bx969+6NgwcPomvXri6N4h48eBA9evTAjh07kJKS4u7LrZXjx4+jY8eOWL9+PQYMGOCTPhARKQUD\\\n",
       "IRGRE8rKyhAWFubrbviErUDoD+pLILx06RJatWqFcePGYcGCBQAAIQRSU1ORlZWFs2fPIiAgwOb5\\\n",
       "33zzDR566CFkZmbigQceAADk5+ejXbt2uPvuu7F06VK57oULF9C0aVOoVCq3vnfPPfccVq5cibNn\\\n",
       "z0KSJPdesAd06dIFPXr0wJdffumzPhARKUH9/JMuEZEXXbp0CWPHjkVSUhI0Gg1atWqF8ePHQ6vV\\\n",
       "AgC++OILSJKEzZs34+mnn0aTJk3QrFkz+fxFixahU6dO0Gg0SEpKwoQJE1BUVGRyjVOnTmHYsGFI\\\n",
       "SEhAcHAwmjVrhocffhjFxcVynXXr1qF///6Ijo5GeHg4brzxRrzyyisO++/MeVVVVZg2bRratGkD\\\n",
       "jUaD5s2b46WXXkJVVZVFe19//TX69OmD0NBQNGrUCLfddht+/fVXAEBycjL++OMPbN68GZIkmUxB\\\n",
       "tHUPYWZmJnr27ImQkBDExsZi5MiRuHTpkkmdMWPGIDw8HJcuXUJGRgbCw8MRFxeHv//97zAYDA7f\\\n",
       "g1WrVmHw4MHy97B169Z44403TM69/fbbsXr1apw7d07ue3Jyss02x4wZI9czf0yfPt1hnxz1V6fT\\\n",
       "4emnn5bLJEnC+PHjcfHiRezcudPu+d9++y3i4+Nx//33y2VxcXF48MEHsWrVKpPva/PmzWs1Yrty\\\n",
       "5UoMGDDAIgzaeh+Sk5MxZswY+Xn1v59t27bh2WefRVxcHKKjo/Hkk09Cq9WiqKgIo0aNQqNGjdCo\\\n",
       "USO89NJLsPa36f/3//4ffvzxR6vHiIjIcwJ93QEiorqUnZ2NPn36yPdjtW/fHpcuXcK3336L8vJy\\\n",
       "BAUFyXWffvppxMXFYerUqSgrKwMATJ8+HTNmzEBaWhrGjx+PkydP4sMPP8Tvv/+O7du3Q61WQ6vV\\\n",
       "Ij09HVVVVXjmmWeQkJCAS5cu4aeffkJRURGioqLwxx9/4J577kHXrl0xc+ZMaDQa/PXXX9i+fbvd\\\n",
       "/jtzntFoxJAhQ7Bt2zaMGzcOHTp0wJEjR/D+++/jzz//xMqVK+W6M2bMwPTp03HzzTdj5syZCAoK\\\n",
       "wu7du7FhwwbceeedmDdvHp555hmEh4fj1VdfBQDEx8fb7N8XX3yBxx57DL1798bs2bORm5uLDz74\\\n",
       "ANu3b8eBAwcQHR0t1zUYDEhPT0ffvn3x7rvv4rfffsN7772H1q1bY/z48Xbfhy+++ALh4eGYPHky\\\n",
       "wsPDsWHDBkydOhUlJSV45513AFy/D664uBgXL17E+++/DwAIDw+32eaTTz6JtLQ0k7K1a9diyZIl\\\n",
       "aNKkiVxWUFBgt2/VIiIioNFoAAAHDhxAWFgYOnToYFKnT58+8vH+/fvbbOvAgQO46aabLIJenz59\\\n",
       "8O9//xt//vknunTp4lS/7Ll06RLOnz+Pm266qdZtVf/sz5gxA7t27cK///1vREdHY8eOHWjRogXe\\\n",
       "fPNNrFmzBu+88w46d+6MUaNGmZzfs2dPvP/++/jjjz/QuXPnWveHiIhsEERECjJq1CihUqnE77//\\\n",
       "bnHMaDQKIYT4/PPPBQDRv39/odfr5eN5eXkiKChI3HnnncJgMMjlCxYsEADEZ599JoQQ4sCBAwKA\\\n",
       "yMzMtNmP999/XwAQ+fn5LvXfmfO++uoroVKpxNatW03KFy9eLACI7du3CyGEOHXqlFCpVOK+++4z\\\n",
       "eT1C/O+9EEKITp06idTUVIvrbNy4UQAQGzduFEIIodVqRZMmTUTnzp1FRUWFXO+nn34SAMTUqVPl\\\n",
       "stGjRwsAYubMmSZt9ujRQ/Ts2dP+myCEKC8vtyh78sknRWhoqKisrJTLBg8eLFq2bOmwPWtOnTol\\\n",
       "oqKixP/7f//P5OcAgFOPzz//3KQfN9xwg8U1ysrKBADxj3/8w25fwsLCxOOPP25Rvnr1agFArF27\\\n",
       "1up5tr53tvz2228CgPjxxx8tjgEQ06ZNsyhv2bKlGD16tPy8+t9Penq6yc9RSkqKkCRJPPXUU3KZ\\\n",
       "Xq8XzZo1s9rHHTt2CABixYoVTvefiIhcxymjRKQYRqMRK1euxL333otevXpZHDefIvfEE0+Y3Nf1\\\n",
       "22+/QavVYtKkSSYjNU888QQiIyOxevVqAEBUVBQA4JdffkF5ebnVvlSPlK1atQpGo9Hp1+DMeZmZ\\\n",
       "mejQoQPat2+PgoIC+VG9OMfGjRsBXJ8aaDQaMXXqVIuRJ3fuHdu7dy/y8vLw9NNPIzg4WC4fPHgw\\\n",
       "2rdvL78/NT311FMmz2+99VacOXPG4bVCQkLkr0tLS1FQUIBbb70V5eXlOHHihMt9N1dWVob77rsP\\\n",
       "jRo1wrJly0x+DtatW+fUIz09XT6noqJCHi2sqfp9qqiosNuf2p7vrCtXrgAAGjVqVOu2xo4da/Jz\\\n",
       "1LdvXwghMHbsWLksICAAvXr1svo9r+6DsyOyRETkHk4ZJSLFyM/PR0lJidPTz1q1amXyvHpPthtv\\\n",
       "vNGkPCgoCDfccIN8vFWrVpg8eTLmzp2LJUuW4NZbb8WQIUMwcuRIOSw+9NBD+OSTT/C3v/0N//jH\\\n",
       "PzBw4EDcf//9eOCBB+ze/+XMeadOncLx48cRFxdntY28vDwAwOnTp6FSqdCxY0en3g9HbL0/ANC+\\\n",
       "fXts27bNpCw4ONiij40aNUJhYaHDa/3xxx947bXXsGHDBpSUlJgcq3mfprueeOIJnD59Gjt27EBM\\\n",
       "TIzJMfNppc4ICQmxev9mZWWlfNyb57tKeOC+vRYtWpg8r/7Zb968uUW5te95dR98ubANEZESMBAS\\\n",
       "EdlQmw/Z7733HsaMGYNVq1bh119/xbPPPovZs2dj165daNasGUJCQrBlyxZs3LgRq1evxtq1a7Fi\\\n",
       "xQoMGDAAv/76q80VJ505z2g0okuXLpg7d67VNsw/kPuKvVU17SkqKkJqaioiIyMxc+ZMtG7dGsHB\\\n",
       "wdi/fz9efvlll0Zcrfnggw+wbNkyfP311+jevbvF8ZycHKfaiYqKkn+GEhMTsXHjRgghTALO5cuX\\\n",
       "AQBJSUl220pMTJTr1uTs+c6qDr/OhPJqtsKjre+vtXJrbVT3ITY21um+EBGR6zhllIgUIy4uDpGR\\\n",
       "kTh69Khb51dv0n3y5EmTcq1Wi6ysLItNvLt06YLXXnsNW7ZswdatW3Hp0iUsXrxYPq5SqTBw4EDM\\\n",
       "nTsXx44dwz//+U9s2LBBntJpi6PzWrdujatXr2LgwIFIS0uzeFSP4LVu3RpGoxHHjh2zez1nR2hs\\\n",
       "vT/VZZ7a5HzTpk24cuUKvvjiCzz33HO45557kJaWZnWao6ujS1u3bsXf//53TJo0CY888ojVOomJ\\\n",
       "iU49VqxYIZ/TvXt3lJeX4/jx4yZt7d69Wz5uT/fu3bF//36LsLt7926EhoaiXbt2Lr1OW9q3bw8A\\\n",
       "yMrKsnq8tLTUoqx6xNnTqvtgvhAPERF5FgMhESmGSqVCRkYGfvzxR+zdu9fiuKNpcmlpaQgKCsL8\\\n",
       "+fNN6n766acoLi7G4MGDAQAlJSXQ6/Um53bp0gUqlUqe9nf16lWL9qtDgbWpgdWcOe/BBx/EpUuX\\\n",
       "8PHHH1vUraiokFdMzcjIgEqlwsyZMy2CRs3XFxYWZrGthjW9evVCkyZNsHjxYpPX8PPPP+P48ePy\\\n",
       "+1Nb1SNMNfuo1WqxaNEii7phYWFOTyG9fPkyHnzwQfTv319eqdQad+4hHDp0KNRqtUkfhRBYvHgx\\\n",
       "mjZtiptvvtmkHydOnIBOp5PLHnjgAeTm5uK7776TywoKCpCZmYl7773X6v2F7mjatCmaN29u9d8H\\\n",
       "AIstRn7++WdUVlZ6ZWuIffv2ISoqCp06dfJ420RE9D+cMkpEivLmm2/i119/RWpqqrwlw+XLl5GZ\\\n",
       "mYlt27aZbItgLi4uDlOmTMGMGTNw1113YciQITh58iQWLVqE3r17Y+TIkQCADRs2YOLEiRg+fDja\\\n",
       "tWsHvV6Pr776CgEBARg2bBgAYObMmdiyZQsGDx6Mli1bIi8vD4sWLUKzZs3sbj/gzHmPPvoovvnm\\\n",
       "Gzz11FPYuHEjbrnlFhgMBpw4cQLffPMNfvnlF/Tq1Qtt2rTBq6++ijfeeAO33nor7r//fmg0Gvz+\\\n",
       "++9ISkrC7NmzAVxf/v/DDz/ErFmz0KZNGzRp0kReoKYmtVqNt99+G4899hhSU1MxYsQIeduJ5ORk\\\n",
       "PP/88+5+20zcfPPNaNSoEUaPHo1nn30WkiThq6++shpKevbsiRUrVmDy5Mno3bs3wsPDce+991pt\\\n",
       "99lnn0V+fj5eeuklLF++3ORY165d0bVrVwDu3UPYrFkzTJo0Ce+88w50Oh169+6NlStXYuvWrViy\\\n",
       "ZInJNMopU6bgP//5D7KysuR9Ex944AH069cPjz32GI4dO4bY2FgsWrQIBoMBM2bMMLnWli1bsGXL\\\n",
       "FgDX75stKyvDrFmzAAC33XYbbrvtNrt9HTp0KL7//nuL6a0AcPz4cQwaNAhDhgxBdnY2PvjgA0RF\\\n",
       "RWHHjh1YtmwZRowY4fJ7Y8u6detw77338h5CIiJv88XSpkREvnTu3DkxatQoERcXJzQajbjhhhvE\\\n",
       "hAkTRFVVlRDif8vmW9uaQojr20y0b99eqNVqER8fL8aPHy8KCwvl42fOnBGPP/64aN26tQgODhaN\\\n",
       "GzcWd9xxh/jtt9/kOuvXrxdDhw4VSUlJIigoSCQlJYkRI0aIP//8027fnT1Pq9WKt99+W3Tq1Elo\\\n",
       "NBrRqFEj0bNnTzFjxgxRXFxsUvezzz4TPXr0kOulpqaKdevWycdzcnLE4MGDRUREhAAgbxFgvu1E\\\n",
       "tRUrVsjtNW7cWDzyyCPi4sWLJnVGjx4twsLCLF7ftGnThDO/mrZv3y769esnQkJCRFJSknjppZfE\\\n",
       "L7/8YtGfa9euif/7v/8T0dHRAoDdLShSU1NtbiFhbbsFVxkMBvHmm2+Kli1biqCgINGpUyfx9ddf\\\n",
       "W9Sr3pIjKyvLpPzq1ati7NixIiYmRoSGhorU1FSrP6PV76G7r2P//v0CgMW2JQDE5MmTxfDhw0VI\\\n",
       "SIhITEwUCxYsEIsXLxahoaHib3/7mxDC9r+f6n6Zb5li7Wfh+PHjAoDJvxkiIvIOSQgvzPMgIiIi\\\n",
       "vzVw4EAkJSXhq6++ksskScK0adMwffp0r19/0qRJ2LJlC/bt28cRQiIiL+M9hERERGTizTffxIoV\\\n",
       "K+StROrSlStX8Mknn2DWrFkMg0REdYD3EBIREZGJvn37QqvV+uTaMTExuHbtmk+uTUSkRBwhJCIi\\\n",
       "IiIiUiiOEBIREZFDXHKAiKhh4gghERERERGRQjEQEhERERERKRSnjBKRXzIajcjOzkZERARXIiQi\\\n",
       "E0IIlJaWIikpCSqV63/7Tk1NxbFjx1w6p2PHjti8ebPL1yIi8jXuQ0hEfunixYv45JNPfN0NIqqn\\\n",
       "ZsyYgQsXLqBZs2YunZeamootW7a4dc3bbruNoZCI/A5HCInIL0VERAAARweJyKbq/0+4wtWRQXfP\\\n",
       "tfb/ruq/0Y8fPx6LFy+2eh7/jk9EnsZASER+iUGQiByp7f8nnD3f0yFt+fLlHm2PiMgeBkIiIiIi\\\n",
       "M5IkuRQoXQ2FNeubX6ewsNBqf6r/y1FCIvIkrjJKREREZKY6EDr7AICCggLExcXJj0GDBnm8X7Gx\\\n",
       "sR5vk4iUjSOERERERGZcHSGsVlBQIH/9888/e6Qvqamp8tf5+fkeaZOIqBoDIREREZEZdwNhzRG8\\\n",
       "3r1717of48ePl1c95eggEXkDAyERERGRGXcCYWxsrEdH8GquNqrRaDg6SERewXsIiYiIiOqZmmEw\\\n",
       "MDAQlZWVPu4RETVUDIREREREZtxZVMYVLVu2tDi3+rn5PoR6vV4+NmLECI+8PiKiagyERERERGa8\\\n",
       "HQjPnz9v85itTekB7lFIRJ7HewiJiIiIzLgb9JzFvQSJqL5gICQiIiIy4+1ASERUXzAQEhEREZlh\\\n",
       "ICQipeA9hERERERERArFEUIiIiIiMxwhJCKl4AghETntrbfegiRJmDRpkt16mZmZaN++PYKDg9Gl\\\n",
       "SxesWbPG5LgQAlOnTkViYiJCQkKQlpaGU6dOebHnRESu8fYqo0RE9QUDIRE55ffff8dHH32Erl27\\\n",
       "2q23Y8cOjBgxAmPHjsWBAweQkZGBjIwMHD16VK4zZ84czJ8/H4sXL8bu3bsRFhaG9PR0brxMRPUG\\\n",
       "AyERKQUDIRE5dO3aNTzyyCP4+OOP0ahRI7t1P/jgA9x111148cUX0aFDB7zxxhu46aabsGDBAgDX\\\n",
       "RwfnzZuH1157DUOHDkXXrl3x5ZdfIjs7GytXrqyDV0NE5BgDIREpBQMhETk0YcIEDB48GGlpaQ7r\\\n",
       "7ty506Jeeno6du7cCQDIyspCTk6OSZ2oqCj07dtXrmNNVVUVSkpKTB5ERN7CQEhESsFASER2LV++\\\n",
       "HPv378fs2bOdqp+Tk4P4+HiTsvj4eOTk5MjHq8ts1bFm9uzZiIqKkh/Nmzd35WUQERERkRUMhERk\\\n",
       "04ULF/Dcc89hyZIlCA4O9mlfpkyZguLiYvlx4cIFn/aHiBo2jhASkVJw2wkismnfvn3Iy8vDTTfd\\\n",
       "JJcZDAZs2bIFCxYsQFVVFQICAkzOSUhIQG5urklZbm4uEhIS5OPVZYmJiSZ1unfvbrMvGo0GGo2m\\\n",
       "ti+JiMgpDHpEpBQcISQimwYOHIgjR47g4MGD8qNXr1545JFHcPDgQYswCAApKSlYv369Sdm6deuQ\\\n",
       "kpICAGjVqhUSEhJM6pSUlGD37t1yHSKi+oCjg0SkBBwhJCKbIiIi0LlzZ5OysLAwxMTEyOWjRo1C\\\n",
       "06ZN5XsMn3vuOaSmpuK9997D4MGDsXz5cuzduxf//ve/AUDex3DWrFlo27YtWrVqhddffx1JSUnI\\\n",
       "yMio09dHRGSLK2GPoZCI/BkDIRHVyvnz56FS/W+ywc0334ylS5fitddewyuvvIK2bdti5cqVJsHy\\\n",
       "pZdeQllZGcaNG4eioiL0798fa9eu9fl9ikRE1RgIiUgpJCGE8HUniIhcVVJSgrlz5/KDGBFZNX36\\\n",
       "dBQXFyMyMtKl8+Li4lBQUIDY2FiTP3bZYzQa5XPy8/Pd6S4Rkc/wHkIiIiIiIiKF4pRRIiIiIjOc\\\n",
       "MkpESsFASERERGSGgZCIlIKBkIgavGnTpvm6C0TkQTNmzPD6NRgIiUgpGAiJiIiIzDAQEpFSMBAS\\\n",
       "ERERmWEgJCKl4CqjRERERERECsURQiIiIiIzHCEkIqVgICQiIiIyw0BIRErBQEhERERkhoGQiJSC\\\n",
       "gZCIiIjIDAMhESkFAyERERGRGQZCIlIKrjJKRERERESkUBwhJCIiIjLDEUIiUgoGQiIiIiIzDIRE\\\n",
       "pBQMhERERERmGAiJSCkYCImIiIjMMBASkVIwEBIRERFZwaBHRErAVUaJiIiIiIgUiiOERERERGY4\\\n",
       "ZZSIlIKBkIiIiMgMAyERKQUDIREREZEZBkIiUgoGQiIiIiIzDIREpBQMhERERERmGAiJSCkYCImI\\\n",
       "iIjMMBASkVJw2wkiIiIiIiKF4gghERERkRmOEBKRUjAQEhEREZlhICQipeCUUSIiIiIz1YHQ2Ycn\\\n",
       "2q/p5MmTHrkOEZEjDIREREREZrwdCB1p37691fLU1FSPX4uIlI2BkIiIiMiMtwOhEEJ+mDt58qRF\\\n",
       "vejoaADAli1b3H5NRETWMBASERER1SPWRgcLCwt90BMiUgIGQiIiIiIz7owQFhQUIC4uTn4MGjTI\\\n",
       "x6+CiMgxrjJKREREZMbdVUYLCgrkr3/++WeP94uIyNMYCImIiIjMuBsIY2Nj5a979+7t8X4REXka\\\n",
       "AyERERGRGXcCYWxsLPLz82t97RMnTljcRxgXF1frdomIrGEgJCIiIjLj7Y3pW7ZsifPnz1ttp+bK\\\n",
       "o+Zt33bbbS5fi4jIHi4qQ0RERFTHzMOguRMnTlgt37x5sze6Q0QKxhFCIiIiIjPeHiG0tv9gTTfe\\\n",
       "eKPDOkREnsBASERERGSFO0GPiMjfMBASERERmfH2CCERUX3BQEhERERkhoGQiJSCgZCIiIjIDAMh\\\n",
       "ESkFAyERERGRGQZCIlIKbjtBRERERESkUBwhJCIiIjLDEUIiUgoGQiIiIiIzDIREpBQMhERERERm\\\n",
       "GAiJSCkYCImIiIjMMBASkVIwEBIRERGZYSAkIqXgKqNEREREREQKxRFCIqJ6zNbIgxCijnviO3q9\\\n",
       "Hmq12u3zHb1XShvdUdLPTm1whJCIlIKBkIjIzwQGKut/3WVlZW6fyw/q5C4GQiJSCmV9qiAiagCq\\\n",
       "qqp83YU6derUKbfPvXLlit3jO3fudLttatgYCIlIKRgIiYj8hFqtRkVFBVQqZd3+nZSU5NZ59913\\\n",
       "Hxo1amS3zs033+xW29TwMRASkVIo61MFEblk9uzZ6N27NyIiItCkSRNkZGTg5MmTDs/LzMxE+/bt\\\n",
       "ERwcjC5dumDNmjUmx4UQmDp1KhITExESEoK0tLRajQI1ZEII+aHVahEQEODrLtU5e4GwsrLS5D0S\\\n",
       "QkCv10MIge+++85uu0OHDq1VvzQajeLCuZJUB0JnH0RE/oq/yYjIps2bN2PChAnYtWsX1q1bB51O\\\n",
       "hzvvvNPuPV07duzAiBEjMHbsWBw4cAAZGRnIyMjA0aNH5Tpz5szB/PnzsXjxYuzevRthYWFIT09H\\\n",
       "ZWVlXbws8kMrV640eR4REQEhBDQajUVdZ0Lzc889hx9++MGtvhiNRgghUFlZCYPBACEEPvvsM7fa\\\n",
       "8rTIyEi5T0ajEREREb7uEhER1XMMhERk09q1azFmzBh06tQJ3bp1wxdffIHz589j3759Ns/54IMP\\\n",
       "cNddd+HFF19Ehw4d8MYbb+Cmm27CggULAFwf8Zo3bx5ee+01DB06FF27dsWXX36J7Oxsiw/9RNWG\\\n",
       "Dh0KIQR0Oh2EECgpKXGrndLSUkiShPnz57t1vl6vtzoa9Nhjj2H16tVutekpr7/+OoqLi+VRS0mS\\\n",
       "UFJSgpSUFJ/2y19xhJCIlIKBkIicVlxcDABo3LixzTo7d+5EWlqaSVl6erq8eEdWVhZycnJM6kRF\\\n",
       "RaFv3752F/ioqqpCSUmJyYPqPyEEGjVqhMDAQPz++++1bs/dFVaFEJAkCZGRkbW6vr3Rx0GDBtWq\\\n",
       "7doICQnBzJkzrR7bsWOH1ZFUso+BkIiUgoGQiJxiNBoxadIk3HLLLejcubPNejk5OYiPjzcpi4+P\\\n",
       "R05Ojny8usxWHWtmz56NqKgo+dG8eXN3XwrVkb/++gsqlQpFRUUwGAzo06cPDhw44JO+eOJeP2dG\\\n",
       "2nw1RbO8vNzu8crKSsTGxtZRbxoGBkIiUgoGQiJyyoQJE3D06FEsX77cJ9efMmUKiouL5ceFCxd8\\\n",
       "0g9yXtu2bS3Kevfubfecq1evemQksSZPbcS+Y8cOh3Vq3itbV4xGo1P18vPzuSm9ixgGiUgJGAiJ\\\n",
       "yKGJEyfip59+wsaNG9GsWTO7dRMSEpCbm2tSlpubi4SEBPl4dZmtOtZoNBpERkaaPMgzqreyUKlU\\\n",
       "0Ol0HmnT1tRKe1MuVSoVYmJi0KdPH0iS5FR4uXjxosN6znxgv+eee+TFYqofxcXFUKvVCA4OdnrB\\\n",
       "oxYtWjhVz5r4+HjMmzcP8+bNQ6dOnRyOaqakpMhTYcnzOEJIRErBQEhENgkhMHHiRHz//ffYsGED\\\n",
       "WrVq5fCclJQUrF+/3qRs3bp18nS7Vq1aISEhwaROSUkJdu/ezcUvfOTQoUNyCLI3bddZly9ftjlq\\\n",
       "9eeff1otP3r0qEWwCwkJsXmNoqIiSJKE5s2bQ6VS2V3oCLj+sxwaGmpSFhsbi4qKCggh8OOPP1p8\\\n",
       "qI+MjIRWq0VFRYVL9+Dl5+c7XRcAoqOj5ff+ueeew3PPPYejR4/Kq4VWL6Zz6dIlFBQUyMHVmRFL\\\n",
       "IiIiRxgIicimCRMm4Ouvv8bSpUsRERGBnJwc5OTkoKKiQq4zatQoTJkyRX7+3HPPYe3atXjvvfdw\\\n",
       "4sQJTJ8+HXv37sXEiRMBXP+r+6RJkzBr1iz88MMPOHLkCEaNGoWkpCRkZGTU9UskAP369cOZM2eQ\\\n",
       "lZXl9L2ZERERkCQJYWFhJtN3v/zyS7v7BrZs2dJq+UMPPWRRVlVVZbMd8w3ne/XqhbFjx9rtc1lZ\\\n",
       "mckIYH5+PoKDg+2e447qoOmMgIAAFBYWOqwXGBiIpKQkxMTEcDSqjnCEkIiUwr3l2ohIET788EMA\\\n",
       "wO23325S/vnnn2PMmDEAgPPnz5tMbbv55puxdOlSvPbaa3jllVfQtm1brFy50mQhmpdeegllZWUY\\\n",
       "N24cioqK0L9/f6xdu9YrH87JOc6M/lar+eG3vLy8VtMkq7377rsWq3TaGiHs0KGD1fLPPvsMn376\\\n",
       "aa374gnBwcEQQiAgIMDuPX56vb4Oe0WucCXoMRASkT9jICQim5y5h2vTpk0WZcOHD8fw4cNtniNJ\\\n",
       "EmbOnGlzmXyqv7w1inv33XdblJWVlVmte+LECZvtREVFyduj1AcGgwFqtdpq8AsKCvJBjxpGeJky\\\n",
       "ZYrX3z8GQiJSCk4ZJSIip61atapW55vfx1eTEAIvvPACBg8e7PZiKSUlJZAkCWvWrKlNNz1Kp9NB\\\n",
       "rVZblDu7UA35BqeMEpFScISQiIiccuXKlVq3UVFRYXcF0XfffbfW1wCAwYMHy19XVVX5bDSumlar\\\n",
       "xebNm3HHHXdApVKhrKyMIaKe4wghESkFRwiJiMgpntzYPCYmxu1zk5OTXarvygqh3pSamgqj0Qi9\\\n",
       "Xu9Un6pDoyRJdhfqIe/gCCERKQUDIREROXT27FmPtnf16lW3z83KyrK7n6E36PX6Or83MTw8XP76\\\n",
       "8uXL9SbYEhFRw8JASEREDrmyCqkzJkyYUKvz9Xo9/vvf/3qoN/YFBgZCrVYjOjoakiTBYDB4/Zpn\\\n",
       "zpyxKNNqtXjvvfes1i8sLLS7mim5jiOERKQUDIRERFSnhg4digULFtS6nfvvvx9CCPTu3dtuvaio\\\n",
       "KLevsX79eosAGBjo+Pb72oazxo0bWy3/+9//jq5du0Kn06GgoABBQUGQJAmNGzdGQEBAvVpMx98x\\\n",
       "EBKRUjAQEhGRQ6584A0KCkJFRQWEEDAajaioqEBeXh50Oh2EEFi5cqVH+7Znzx7o9Xo8//zzFsdU\\\n",
       "KhWKiorcbnv8+PFWy7ds2WK1vF+/fpAkCQEBAbWa1hodHW3z2JEjRxAUFIS4uDjodDqTYzUX06Ha\\\n",
       "YSAkIqVgICQiIofMg4ct+fn5qKqqQnBwMIDrH6qDg4MRFxfn1MiauwICAjB37lwIIVBcXIzvv/8e\\\n",
       "FRUVtZ7e+a9//ctqeWpqqkVZo0aNsHv3bvm50WjE7NmzrZ4vhIBKpYIkSTZHMKuqqlzur0rFX+ue\\\n",
       "wkBIRErB3xxERORQQEAAhBDo1q2b1eOxsbEQQnh0JVJ3RUZGIiMjQw6ltZGenm7zmCRJOHXqFC5e\\\n",
       "vGhzJPLVV1+1eq5KpZK33igpKbE6mhgUFITs7GyX+ltYWOhSfbKNgZCIlIKBkIiInHbw4EEIIeTp\\\n",
       "oEajEUII5Ofn+7prXjNixAibx9q1a4fmzZvb3FfRVrk5W/ccJiYmYvLkyU61ce7cOURGRjqsV/39\\\n",
       "8+eHRqNhQCMi8hAGQiIicotSPngvXbrU7XM9MU32vffes/s+V482tmjRotbXov/hCCERKQUDIRER\\\n",
       "1bnqEUZ/YeteQEdsTeHs0qWLyXO1Wm23Hb1eb7X8rbfeqpNtMJSIgZCIlIKBkIiI6sy+ffsgSRJU\\\n",
       "KhUCAgLkr/ft2+frrgG4vihOzQ/5JSUlAIDHH3/c5bZ2795tsrl8TYcPH0Z+fj6Sk5ORmZkJrVZr\\\n",
       "t63qexSrg0dYWBiMRiNefvlll/tFzmEgJCKl8N6Sb0RERDWsX78eaWlpFuVCCPTq1cuiXKVSoU2b\\\n",
       "Njh48CBCQkK83r9Tp06hXbt2JmVRUVHYtGkT2rdv73Q7paWlNoNgTbGxscjKynK63aioKL8aVfV3\\\n",
       "rgQ9BkIi8mccISQiIrdULyjjbF1rYdDROX/++SdCQ0MhSRKCgoLwwAMP4K677pIXFVGr1SguLrbb\\\n",
       "TvVIpCRJWLx4sc165mGw2vz589G4cWNERETYvU7Lli0hhHAqDFL9xxFCIlIKBkIiInLJiRMn5M3X\\\n",
       "VSoV7r77bofn1GaT9mo6nQ7//e9/8csvv8hTLPV6PaKjo/HEE09YPUelUpmMqo0fPx5xcXEW9Z56\\\n",
       "6imb1/3mm2+gVquRm5trs45KpcLZs2edfCVERET1BwMhERE5pToIdujQwaR87dq1ds/zRBh05JNP\\\n",
       "PrHYlD0lJcXqCGZBQQFUKpW8GMvq1avx0UcfWW331KlTcv9DQkJsbiLvaGGXZs2ayfdL7tixw+Hr\\\n",
       "Id/jCCERKQUDIRERWSgpKUF4eLjJB17zIOiMTz/9tM7uexNCICAgAGvWrEFUVBR27dplt25gYCAk\\\n",
       "ScI999xjtU5KSgratGljUmZt83lHYTAtLQ2XLl2Sr3vLLbdAkiQUFBQ4eEXka94KgwsXLrTazsmT\\\n",
       "J73wKoiI7OOiMkREClFQUACDwYAmTZrY/BBbHaqcvTfQkb/97W8eacdZRqMRgwcPrlUbycnJdhd7\\\n",
       "EUIgOzsbRqMRzZo1c9je+vXrrZbHxcWhoKAAMTExbvfVVefPn+d+hU7y5qIyEydOtFrevn17j/3b\\\n",
       "IyJyFkcIiYgauA0bNkCSJMTFxSEhIQEqlQqSJOGtt96SR+/0ej1iY2PlTc6VavHixU6t/JmUlORU\\\n",
       "GHQkNja21m04w2g0QpIktGzZsk6u1xDUxZRRIYT8ICLyFQZCIqIGbuDAgVbLp0yZIq/AqVarceXK\\\n",
       "FbfaDw0NtXls9+7dbrXpK08++aTH26wP95fVxX2cDY07gbCgoABxcXHyY9CgQQ6vUfO/RES+wEBI\\\n",
       "RFSPff311/Lm6O64du2aB3tjXZMmTWwe69OnDwoKCuRA4uxoys8//wwhBIxGo93A6Unz5s3zSrt/\\\n",
       "/fWXV9oFgL59+0KtVmPfvn0263D0yT3ujhAWFBTIj59//tlq26tWrTK5TjV+r4jIFxgIiYjqsUcf\\\n",
       "fRRRUVFujyDUxZ54jkYWY2JioNfr5YBXvX+hwWCw2NsvMTERQgjcddddAK5/WC4rK0NgoPVb3p9/\\\n",
       "/nl5yl1lZaXDvtpqBwCee+45h+e744YbbkB6errVYzk5OW63+9lnn2HPnj3Q6/Xo1asXunXrZrWe\\\n",
       "o0VvyLNiY2Plh60tWYYOHWq1nCOFROQLDIRERH7C3kicPe6OOlQHt+qHrVBTWlrqVvsqlQolJSUm\\\n",
       "18jOzrZaV6fT4aGHHpKfazQaCCEwd+5ckzJbK5pWt6/T6Uy+3rRpk1xmy65duyxGg6qqqlx6rWvX\\\n",
       "rjUJrtXvbXx8vEvt1GQeYA8fPgyNRmNRz14IJtvcGSGMjY1Ffn6+/FizZo3da/AeQiKqDxgIiYj8\\\n",
       "xJYtW9w+15UPnNVhy3y0wtF+g962fPlyh6OB1SOKNZ/beu2BgYFITU11GJhSUlIsyoKDg3HixAkX\\\n",
       "ev8/Go3GIyNBzz77rEWZVqu1WrewsLDW11Ma7kNIRErBQEhE5Afef/99tG/fvlZtfPDBB/LXf/zx\\\n",
       "h8noRM2HvamXdXFPYm2FhobKr6W2eyCWl5fbPObOvoyeNGvWLKvl1vayi46Ohl6vR3BwsLe71WDU\\\n",
       "RSBkoCSi+oCBkIioHqsONpMmTap1WzNnzpS/7tixo1tthIWFITIy0qSsX79+tepXfaZWq+0eP3Lk\\\n",
       "SB31xJKtEPHmm29aLQ8ICEBFRYU3u9SgeDMQJiYmWi1/+OGHPdF1IiKX8MYCIiIFKC4uNln8xdqU\\\n",
       "UFfaCg4ORlVVFSRJws6dOz3VzXrHUSDcvHkzunTpUke9saRSqSxGQbdu3eqj3jQs3tyY3ta9skRE\\\n",
       "vsARQiIiBTCfbrpu3bpatZefn48mTZrg8OHDtWrHH1hbqKVa//7967AnlkJCQizKeL8gERG5giOE\\\n",
       "REQKYL69QXp6eq1WNoyIiEBubm5tu+UXKisrbY4Ade/evW47YyYoKMhkER3g+ggu1Z43RwiJiOoT\\\n",
       "jhASEfmpU6dOmdzD9Mcff7h0Ppe6d54QwmLPxPowOmptNJDfV8/gKqNEpBQMhEREfqi4uBjt2rUz\\\n",
       "KevcubNLi5y4ExyEELjzzjvRvHlzm1sceEtJSQkWLVqE6dOn4/Lly3V67errCyGg1WohhPDpvYMA\\\n",
       "8Mwzz9g8xs3oa4+BkIiUglNGiYj8UOPGja2Wd+3a1WrQy8vLs9jYXqVy7W+C99xzD1avXi0/r96v\\\n",
       "0Nvee+89/P3vfzcpmzFjBnr06IH9+/e73W5lZaXJPXjnzp1DixYtHJ7naKGZuhAdHW13amiLFi1w\\\n",
       "6dKlOuxRw8Mpo0SkFBwhJCLyQ64Gsbi4OBQXF8sfXF3dn6+goMAkDFYbNWqUS+24ymAwWITBaiUl\\\n",
       "JbVq13xBlpYtW9Yq4I4bNw4qlcpmWPeUgIAAh/cJZmdno6qqyqv9aOg4QkhESsFASETkh7Zt22a1\\\n",
       "vFmzZjbPiYyMhNFodGvLiZYtW1otX7JkiUvtuMreKNdff/3ldru2RvlGjx7tVnuNGjXCxx9/DCEE\\\n",
       "CgsLbb6/5eXlCAoKQlRUlFvXOXnypNNhPjg4mPcTEhGRQwyERET1WFxcHPr372+xofjNN99sMuIH\\\n",
       "AMnJybhw4YJX+mFreqmr005dZWsKpzOjX/bCkK1jP/30k3MdM1NUVGRRFhAQYPK8qqoKYWFh0Ol0\\\n",
       "KCkpcWtUqXPnzi7VV6lUDIVu4gghESkFAyERUT1WUFCA7du3IzQ0FImJiSbHao74CSGQlZXltX7Y\\\n",
       "2ki7LlbaNBqNiIuLg0qlwq233gohBIKCgmzWHzhwICRJgkqlsjoSaG+ErVOnTh7pc/V1YmJioNfr\\\n",
       "8ddffyE4ONiiTmBgIK5duwa9Xo9t27bhkUcewZUrV2y2qdfrXe6HeWh3NejUx0dVVZX8c2/rUVsM\\\n",
       "hESkFFxUhojIT5jvJViXIiIi0L17dxw8eNCkrEOHDl6/tiRJyMvLc6ru1atXsWHDBvm5Xq/Hjh07\\\n",
       "cPPNN8tl9kY116xZ41Yfg4ODUVlZabU/9hahMRgMFttZLF26FGq12mIV1/vuu8+tvgFAeHg4rl27\\\n",
       "5vb5SsRFZYhIKRgIifxcVlYWtm7dinPnzqG8vBxxcXHo0aMHUlJSrI5IELnrwIEDEELg5MmTaNu2\\\n",
       "rcWUyPogPj7eomzAgAFWw5o15uHMWRUVFR4NBTqdDjExMfJoYWFhIVauXOl2e2VlZTAYDPXye1af\\\n",
       "MegRkRIwEBL5qSVLluCDDz7A3r17ER8fj6SkJISEhODq1as4ffo0goOD8cgjj+Dll1+2uSAI+Zek\\\n",
       "pCRfdwGSJKF9+/a+7oZN1vbfc3aa5alTp2p1bSEEAgICXF7B1ZarV68iNDQUer0eOp3Oap3qwOLM\\\n",
       "FMnAwEDMmjXLI31TAo4QEpFS8B5CIj/Uo0cPzJ8/H2PGjMG5c+dw+fJl7Nu3D9u2bcOxY8dQUlKC\\\n",
       "VatWwWg0olevXsjMzPR1l6mWYmJiPLKvnF6vR2hoKJo0adIgFxuxtlm8swvftGnTptbX/+yzz2rd\\\n",
       "Rk2BgYE2w+DFixdhNBphNBqdng3w2muvebJ7RETUADAQEvmht956C7t378bTTz+N5s2bWxzXaDS4\\\n",
       "/fbbsXjxYpw4cQI33HCDD3pJnlC9QEZBQUGt26qoqIBarUZFRQXy8/OhUqlw8uRJD/Sy/tiyZYtF\\\n",
       "mfkI4RdffOG160+aNMljbb344ovIy8uzuoBO06ZN0bRpU/n57t27PXZduo6LyhCRUjAQEvmh9PR0\\\n",
       "p+vGxMSgZ8+eXuwN+YtevXpZlHXs2NEHPfGe8PBwizLzkdBx48ZZ1LE1ilhSUoL+/fvjxIkTDq9d\\\n",
       "WVlpdfsJd7399tsIDg62+n2ruXAOADRu3Nhj16XrGAiJSCl4DyFRA5GXl4e8vDyL+5e6du3qox5R\\\n",
       "fXPs2DGLMqPRiPLycoSGhvqgR55nK9j93//9H77++muMGTPG6hTMJk2aWD2vegP56tVUtVqtyaqh\\\n",
       "ZWVlaNq0KYqLi2vbdRMGg0EOGRs3boRGozE53q5dO5PnGzdu9Oj1ifcQEpFyMBAS+bl9+/Zh9OjR\\\n",
       "OH78uDwSIkkShBCQJMnqIhukTCEhIRYb3AO+/zAbGRmJ0tJSAEBoaCjKysos6uTl5eGGG26AXq/H\\\n",
       "kiVLMGzYMKttFRYWWi1ftmwZli1bZrMPS5YssSi7ePGiRZm9/Q89pXPnzibB1plrzp0712p5REQE\\\n",
       "ioqKTNrz9ffbXzAQEpFScMookZ97/PHH0a5dO+zYsQNnzpxBVlaWyX+JqpWXl1t8cL377rsREhLi\\\n",
       "ox4BPXv2lMMg8L8+LlmyBEajEVevXoVKpUJ8fDzKyspQVVWFBx54AJIkYcaMGRbt2Rrpc2TAgAEW\\\n",
       "ZaNHj3arrdqQJAlHjhyxW8fawjnWFpWJiopCSUmJ04vqkClOGSUipeBvCSI/d+bMGcyZMwd9+/ZF\\\n",
       "cnIyWrZsafIgqsloNEIIAYPBACGE2xuxe4IQAvv377d6bOTIkQgICEBMTIzN1VCnT58OSZIQHx+P\\\n",
       "2NhYqFQqt0bEu3XrZrX8sccec7ktZ0iShPnz5+Oll14yCWsDBw60uWXFm2++KX99+PBhi+Nr1661\\\n",
       "KLN1P2P1QkX+/NBoNF4PaAyERKQUDIREfm7gwIE4dOiQr7tBfsbeqJFWq0WHDh2wdOlSh+288MIL\\\n",
       "iIyMRGRkJO644w6cOHHC6e0sAgM9c9dCXl4erly5Yve6kiTh0qVLKC0txZ133il/iF+8eDEOHjxo\\\n",
       "9ZyRI0d6pH/mtFotnnnmGbz99ttyMBdC4LfffrN5zpQpU+S61kRFRcnbZnCqOBERuYL3EBL5uU8+\\\n",
       "+QSjR4/G0aNH0blzZ5MFLwBgyJAhPuoZ+SOj0SgvYPLII49gzJgx0Gq1FvXy8vIQHx9vUrZp0yZ5\\\n",
       "8RVrOnXqhFWrVuH8+fMYOHBgne2DKEmSycjbL7/84tK5nu6nu0HY0dTPU6dOudUuWcd7CIlIKRgI\\\n",
       "ifzczp07sX37dvz8888WxzhSQK4KCAgwea7T6RAYGGiyl9+vv/7q0tYn1f744w+PbP7uiqVLl2LE\\\n",
       "iBFun280GqHVai1W+TSXlJSES5cuyc/j4+ORl5fn9nXJ9xgIiUgpOGWUyM8988wzGDlyJC5fvgyj\\\n",
       "0WjyYBikmnbv3o2kpCR89913Lp1nMBhMVu90Jwz6wuuvv16rMFgtKCgI5eXlNo+rVCqTMAgAubm5\\\n",
       "tb4u+RbvISQipWAgJPJzV65cwfPPP28xfY+optatW6Nfv364fPkyhg0bhgMHDrh0fr9+/QDAbjCq\\\n",
       "T9q0aYOZM2d6rL2QkBA8/PDDVo/Z+sPL559/blGWkZHhsT6RdzEQEpFSMBAS+bn777+fm1KTQ+Zb\\\n",
       "kNx0000und+zZ08A8OkWFc4KDAx0+X46IQTOnTuHzZs349ChQyguLrZY8fOTTz5BZGSk/FylUtlc\\\n",
       "FRQAxowZg+joaPl5QEAAvv/+e5f65UlCCLv9JVMMhESkFLyHkMjPtWvXDlOmTMG2bdvQpUsXi0Vl\\\n",
       "nn32WR/1jDxBkiSoVCoMGzYMK1ascOuDZ0FBgdXywsJCNGrUyKRMrVZDp9NZ1K3euF2SJCQnJ+Ps\\\n",
       "2bMu98PTNBoNGjVqhLy8PDnoDBkyBKtWrXKpnebNm1vdhL7mdaZNm4Zx48YhNzcXAQEBCAwMdOp7\\\n",
       "UT3VVgjhs9Bw4cIFtGjRQn5eV4v5EBGRf2AgJPJzn3zyCcLDw7F582Zs3rzZ5JgkSQyEDYDRaERm\\\n",
       "ZiYyMzMBAFlZWUhOTnb6/B9++MFqeYsWLUw2hQeuhx/zQKhSqUzCzF9//eWxLSNqo6yszGIRHFdN\\\n",
       "mjTJbhgEgKqqKrzyyiv4+eefsWXLFreu48sRpJphkJzHRWWISCk4ZZTIz2VlZdl8mE8TdNfChQuR\\\n",
       "nJyM4OBg9O3bF3v27LFbPzMzE+3bt0dwcDC6dOlisfm5EAJTp05FYmIiQkJCkJaW5vaS+Y42sK6q\\\n",
       "qnJ56ld9eljTqlUrSJKEjz76yKn3yNoKtABw7do1p8peeeUVk+e1DWGe4ol+fPDBB07X3b59e62v\\\n",
       "R/6jIUwZ/eGHH+pt34io/mAgJGqgLl++jDlz5tS6nRUrVmDy5MmYNm0a9u/fj27duiE9Pd3mkvo7\\\n",
       "duzAiBEjMHbsWBw4cAAZGRnIyMjA0aNH5Tpz5szB/PnzsXjxYuzevRthYWFIT09HZWVlrfurJE89\\\n",
       "9RQkSUJwcLDVvQKrrV692uYxSZJQWVkJIQTat29vtc7AgQNr3VdXffLJJ/I9b7Y+0P7111+1uob5\\\n",
       "6Kgj/GCtLA0hEHIfWiJyhiR4MwGRX3v88cetlp87dw579uxx+UOvub59+6J3795YsGABgOvTF5s3\\\n",
       "b45nnnkG//jHPyzqP/TQQygrK8NPP/0kl/Xr1w/du3fH4sWLIYRAUlISXnjhBfz9738HABQXFyM+\\\n",
       "Ph5ffPGFzZUczZWUlGDu3LkO62m1WsyePdupNv2dSqWCXq+3+HBa2w+rLVu2tLhnMDQ0FBUVFS73\\\n",
       "r3Pnzjh8+LDDuua/mqy9BkmSHC6Scu3aNTRq1Ah6vR6BgYFYs2YN0tLSIEkSMjIyXLrf8Pz582je\\\n",
       "vLnT9euL9PR0/Prrr/LzhvBrf8aMGQ7rTJ8+HcXFxSYLATkjLi4OBQUFePnllx3uP1mtqqoKb7/9\\\n",
       "NmJjY5Gfn+/S9byt+t9OQ/i+E5F3cISQyM8VFhaaPAoKCrBnzx5s2rQJ7777bq3a1mq12LdvH9LS\\\n",
       "0uQylUqFtLQ07Ny50+o5O3fuNKkPXP9AWl0/KysLOTk5JnWioqLQt29fm22Sc4xGI1QqFRo3bowz\\\n",
       "Z84gMzPTIyMX586dsyjbv3+/1bphYWE2p3IGBATgm2++cRj6u3btalFmbQuJ6inBtmRnZyMiIgJ6\\\n",
       "vR4AoNfrceeddyI0NBQ33nijS2Hw3LlzfhkGAeCXX37xdRf8UkMYIazJ3/pLRHWHgZDIz33//fcm\\\n",
       "jx9++AFHjx7FzJkzsXLlylq1XVBQAIPBYLHHYXx8PHJycqyek5OTY7d+9X9daRO4/hf4kpISkwdZ\\\n",
       "V1hYiNatW+PBBx/02jVuvPFGk+cBAQE4ePAgSkpKbIZFo9GIpKQkzJ8/3+79f9aC2osvvmi17oQJ\\\n",
       "E2y2065dO6vllZWV+PPPP22eZ+6GG27w+4VZzFcfJuWovp/a33+Gich7GAiJGqgRI0Zg06ZNvu6G\\\n",
       "x8yePRtRUVHyw19Ha/xVcHCwyXNJkiCEgMFggBACer0e3bp1g0qlQteuXdG4cWOr7URERCAuLg56\\\n",
       "vR5bt261GKlo3Lix1RVUza9f7dNPP7XZ57KyMgevyjmnT592+RyDwYCysjKbm9bXNa1Wa/M9JNv8\\\n",
       "cXTQVp/+9a9/mSy4RURUjYGQqIE6dOgQevToUas2YmNjERAQgNzcXJPy3NxcJCQkWD0nISHBbv3q\\\n",
       "/7rSJgBMmTIFxcXF8uPChQsuvx5yX1VVldX79VQq679GrJXX3KQdAPr37w+j0SgHSiEErly5YrMP\\\n",
       "tkYVX3rpJYuy9PR0m+14Q/W9sdUfxgMDAxEeHi7vV7hhw4Y67Y81FRUVDAIuaAhTRmv2a+jQofW2\\\n",
       "n0TkW77fSIqIamXy5MkWZbm5uVi1ahUGDx5sctyZRVhqCgoKQs+ePbF+/XpkZGQAuD7tb/369Zg4\\\n",
       "caLVc1JSUrB+/XpMmjRJLlu3bh1SUlIAXN8yISEhAevXr0f37t0BXF8gZvfu3Rg/frzNvmg0GqcX\\\n",
       "eCDviI6OdnqqbkFBgUXZ/PnzbdZ3ZguJLl264ODBgxbl77zzDqZMmYJGjRoBuH6vYM1FVGrrtttu\\\n",
       "s7v/oBDCZjCuNnDgQKSmpjaoUfuGzpWgV5+DVvVoPhGRLQyERH7uwIEDVst79+6NvLw8eXsIdz+w\\\n",
       "TJ48GaNHj0avXr3Qp08fzJs3D2VlZXjssccAAKNGjULTpk3llTyfe+45pKam4r333sPgwYOxfPly\\\n",
       "7N27F//+97/lfkyaNAmzZs1C27Zt0apVK7z++utISkqSQyfVT86uWGsr+N1///21un7btm2tBkIA\\\n",
       "8hTVgIAAj0/T3Lp1K0pLSxEREWH1eExMjFPtbN68Gb1798bvv//uye6Rl/h7IKz+AwkRkSMMhER+\\\n",
       "buPGjV5t/6GHHkJ+fj6mTp2KnJwcdO/eHWvXrpUXhTl//rzJ6MjNN9+MpUuX4rXXXsMrr7yCtm3b\\\n",
       "YuXKlejcubNc56WXXkJZWRnGjRuHoqIi9O/fH2vXrnXrHidHH8Q0Go1f/3W8vn3QjIiIsBsMH3jg\\\n",
       "Afz3v/+1eiwoKKhW13Zm1M9b9+xFRkba/DkqLCx0up29e/eie/fuNoMt1R/+HgiLiop83QUi8hMM\\\n",
       "hETk0MSJE21OEbU2BW748OEYPny4zfYkScLMmTOtbiVApoxGI86ePYsbbrjB110BcH1fv6CgIKxa\\\n",
       "tQplZWV48cUXceHCBaeCWFlZmc1RNkcMBgOKi4vdOtdT3nzzTbzyyismZdVbWrji0KFDSElJ4TYr\\\n",
       "9Zy/BkIhhNwfjUaDqqqqetU/Iqp/uKgMkR+66667sGvXLof1SktL8fbbb2PhwoV10CvyBkmS0KpV\\\n",
       "q3o1yqnT6TBo0CAMHz4cZ8+edXpUrmnTpg7rtGrVSv4grlKp0K1bN4wYMaJebJvw6quvWpSdPHnS\\\n",
       "rbZ27dqFO++8s7ZdIrKqeiXRyspKk5/bBQsW+LBXRFRfcYSQyA8NHz4cw4YNQ1RUFO6991706tUL\\\n",
       "SUlJCA4ORmFhIY4dO4Zt27ZhzZo1GDx4MN555x1fd5k8oFu3bjh06JCvu+G20tJSXLx4Ec2aNbN6\\\n",
       "PCAgwGQlUyEEDh8+jMOHD9dVFx264447TKZpuzJd1Ny6devw3Xff1freSvIOfx0hNDdr1izMmjXL\\\n",
       "190gonqMgZDID40dOxYjR45EZmYmVqxYgX//+9/ydDpJktCxY0ekp6fj999/R4cOHXzcW/KU/fv3\\\n",
       "O7UaZ33WvHlzlJeXIyQkxKT8kUcesbqtRX1jPkW6Y8eOtWpv2LBh9Wr0l/6noQRCIiJHGAiJ/JRG\\\n",
       "o8HIkSMxcuRIAEBxcTEqKioQExNTL6bXkec52trAX4SGhmLnzp3o168fgOs/u0uXLvVxr5zXpEkT\\\n",
       "efVed++JrOnjjz/GE088Uet2yLMYCIlIKRrGpwsiQlRUFBISEhgGFSggIEC+Z0gIgTlz5sjHJEnC\\\n",
       "Cy+8AL1eD51OJ68OWy0sLAylpaW4cOFCnfY5JSUFKpUKYWFhFhvW+5parcb58+dthtT8/HwcP34c\\\n",
       "AHDq1KlaX8/Wgk3kWw1hY3oiImcwEBIR1WNhYWFITExERkYGbr/9dqsfPD///HOT5y+++KIcDo1G\\\n",
       "I959910EBAQgMDAQ2dnZcr2lS5fi2rVrCA8PR7Nmzep86qIQAuXl5XV6zWq2PsRfuXIFWq0WzZs3\\\n",
       "x4gRI2y+Jx07doQkSejUqVOt+6LVamvdBnB9S4vw8HC0adPGI+0pnbcDIYMlEdUXDIRERPVYeXk5\\\n",
       "cnJysGrVKmzevNlqQBk1ahSuXLniVHuVlZXy1999953H+ulPKioqYDQaYTQaIYTA999/j5tuugkl\\\n",
       "JSXyBvc1nThxwut90ul0TtcVQuD9999H69atERcXh6CgIEiShN69e6OsrAynT59Gq1atvNhbqi1P\\\n",
       "TDUmIvIUBkIiogYgNjYWkiRh3bp1dut169ZN/vrbb781CSK1WTGzLg0ZMgQvvviiW/dUVlRUIDg4\\\n",
       "2KQsIyMD+/bts/kh/cYbb0RgoHdvuQ8PD3eqXvVU28mTJ+PMmTMoKCiwGibPnTtnsw1XR77q46Oq\\\n",
       "qspkmrS1R215c4Tw2rVrAOCVfhMRuYqBkIioAbnzzjvtrnz5119/mTwPCgpCYGAg1Gq11dGx+qa0\\\n",
       "tBSrVq3CnDlzYDAYcPnyZac/jPfo0cMiDDrLlRE8d2i1WkiShMaNG2PAgAH46quvcO3aNTkkbNy4\\\n",
       "EZIkObX/KAAGCw+oi3sIOV2UiOoDBkIiPzd69Ghs2bLF192geuT48ePyoic1nT171mp9g8EAvV7v\\\n",
       "1rVCQ0NRWlqKiooKedVQb/nnP/9pMZKWkJAgT/00Go3QarXQarXQ6XQoKCjAzTffjMDAQLRq1Qr7\\\n",
       "9++v1fWHDx9eq/OdUVhYiI0bN2LUqFGIiIiASqWCSqXCgAEDvH5tMuVOICwoKEBcXJz8GDRokMvX\\\n",
       "JCKqawyERH6uuLgYaWlpaNu2Ld58801cunTJ112ieqBjx444duyY/LyystLj95WFhYWhrKwM4eHh\\\n",
       "CA4Oxs6dO6HX6/Hhhx8iNTUViYmJLn3ADQwMxNGjR+WAumHDBiQmJqJRo0Y4cuQIXnnlFbvnS5IE\\\n",
       "tVoNtVqNwMBAxMTEYPv27dDpdDhz5kxtXy6++eYbm8f++OMPk2l/V65csdhrsT7wh70e6wt3RwgL\\\n",
       "Cgrkx88//2z3GpwqSkT1AQMhkZ9buXIlLl26hPHjx2PFihVITk7G3XffbXF/GClPp06dsHLlShw+\\\n",
       "fBhhYWEeb99ayAoICMBTTz2FTZs2ITs7G1evXoVGo3HYVuPGjVFVVYVOnTpBpVIhICAAd9xxB7Kz\\\n",
       "s3HlyhV07tzZ4/13h7Upp40bN7aYptu4cWNcu3bNp3tHWhv1PX/+vA964p/cDYSxsbHy4+677/bh\\\n",
       "KyAicg4DIVEDEBcXh8mTJ+PQoUPYvXs32rRpg0cffRRJSUl4/vnnPbJXGvmn++67D926dXN7ZCgi\\\n",
       "IsLqYis7duxAkyZNHJ4fHR2NyspKaLVaBAQEWByPjIyUR9Rshaf6NI2uoqLC5LlKpbK5wqtKpYLB\\\n",
       "YLD6ugGgdevW0Ol00Gq1SExM9HhfrY1QRkZGevw69D+xsbHIz8+XH2vWrPF1l4iIHGIgJGpALl++\\\n",
       "jHXr1mHdunUICAjAoEGDcOTIEXTs2BHvv/++r7tHfuT48eMQQqCkpAQlJSXytDaDwQAhBFJSUlxq\\\n",
       "T61WQ6/XQwiB3NxcFBYWQgiB4uJiL70C99Qc8bE1RVUIgTNnzuDEiRMwGAwO29Tr9Rah8OrVq/jr\\\n",
       "r7/kBX2ys7ORl5fnkddQ87pXr141KfOHhYPqi7peVIaIyFcYCIn8nE6nw3//+1/cc889aNmyJTIz\\\n",
       "MzFp0iRkZ2fjP//5D3777Td88803mDlzpq+7SvVYXFwcDh06JC/Q0r59e6v1PDEFskmTJoiOjq51\\\n",
       "O664cuWKxeieOfPRs9mzZ9us26pVK9x4441OX1+v16OoqAhnzpyBEAKNGjWyqBMXFyfvMegpdbEQ\\\n",
       "TkPlzUBo655B3ktIRL7g3Y2ViMjrEhMTYTQaMWLECOzZswfdu3e3qHPHHXfU+Qdw8g/R0dF+s/+g\\\n",
       "u7799ls5GEmSZHP6bGlpqUWZJEke+5AeFRWFqKgoh/UmTZqESZMmAbj+B5+wsDC37wf+/PPP3TqP\\\n",
       "rvPmyB3DHxHVFxwhJPJz77//PrKzs7Fw4UKrYRC4/qE/KyurbjtGfmHr1q2+7oLXjR07Vv5aCIF7\\\n",
       "7rnHaj1bI4KHDh3ySr+coVarodVq3R6ZbdGihYd7pBx1MWWUiKg+YCAk8nOPPvqo25ttE7366qu+\\\n",
       "7oLXmS+Ks3r1aqv1/vGPfyAw0HLizG+//WZRNmfOHPTp06fORlfXr1/v8jm2RhVrbnXgrw+NRuP1\\\n",
       "gMZASERKwUBIRFSPzZkzx6lphu764YcfvNZ2XcjJycFLL71kd3EXV1bZ1el0+Oijj+TnoaGheOGF\\\n",
       "F+TnQghIkoSXX34Zv//+Oxo3bgxJkqxu8eBJt956q9N1W7ZsCSGE1XBLzmMgJCKlYCAkIqrHXnzx\\\n",
       "RRQVFXl1Q3FHI8wxMTHyh960tDSb9UpKStCmTRu0bt0aH330EQ4cOIB77rnH4oOzSqXCxo0b5dGe\\\n",
       "Q4cOQa1Wm9Sxdj+fuTZt2iAxMRHvvPMOAgMDbU6rDAkJgVqtdthetXHjxsl9KysrMzm2e/duq+eo\\\n",
       "1Wqv7jlna+uKpk2bygsBVT/Onj3rtX4QEVHDwz8fEhH5gerFTbwxElFVVYUrV64gJibG4tjKlStN\\\n",
       "ti5Yv349BgwYgA0bNpjUS0xMRE5Ojvz8qaeesnk9IQQGDBhgt0+RkZEoKytDaGiozTqnT5+2aPeP\\\n",
       "P/5Ap06dLOpqtVpERkaitLQUYWFhdq9tT7du3WweW7t2LSRJglardSmAOis6OhpFRUXy8/z8fMTG\\\n",
       "xnr8OnSdKyN/HCEkIn/GEUIiIj9SUFDglXaTkpKslj/wwAMWZRs3bjR5fu3aNZMw6CnuBDd7i+SU\\\n",
       "lJRAr9c7Nfpoi7XN3s0FBQXJI6GBgYEICAiARqPB6NGja7WyZGFhIX777Td5dJVh0Ls4ZZSIlIKB\\\n",
       "kIjIj1gbxfMErVZrtdzWvXklJSXy13FxcV7pkzvsjUwC16de1vbD+759+5yqJ4SAwWCA0WiEVqvF\\\n",
       "l19+CZVKhWeffdbtaw8cOBC333672+eT8xgIiUgpGAiJiMhlNVfXrKys9Np17C3WUnPT9ZCQEK+M\\\n",
       "Ulpz00031er8hQsXevWeUHN6vR7Z2dl45pln0KhRozq7rr9jICQipeA9hEREfuT333/3dRcAXF/M\\\n",
       "xBmRkZEQQticpqlSqSBJks2RSFuLqQDAN998A6PR6PYefbVRmw3r9+zZ49U+V1RUIDw8vE5DZ0PE\\\n",
       "ewiJSCk4QkhE5EdSU1Pr7Fr2Ak/NLQ1sfRiOiopCUVERSkpKsHDhQovjkydPhk6ng06nw9y5cy2O\\\n",
       "O/OB3BdhsDYefPBB9OzZ02vtCyEQFhbGMEhERE7zr9+kREQKdsstt6CiosJr7dfcbw+4vjiKM2yF\\\n",
       "sqKiIjnQPf300xabi7/33nvyCOHzzz8v33P3888/46+//rIaamqzKIsnudOP/fv3Y8WKFV7ozXVa\\\n",
       "rRYqlarevEf+jlNGiUgpGAiJiOqxG264AcHBwZAkCTt27PDqtebOnYugoCB0797dpc3WrQW3QYMG\\\n",
       "udUHlUqFu+66C61btzYp79atm7xypyRJeOONN9xq35bt27dDpVJBrVY7DN3ubinRo0cPt84zGo24\\\n",
       "ePGi3TpCCGg0GrfaJ+sYCIlIKRgIiYjqsaysLFRVVdXZ9XQ6HQ4dOmS3TnR0tMlzayNSn376qcf6\\\n",
       "VFlZicOHD5uUTZ061aPt9+/fH0II6PV6hIaGYvXq1VbrPvfcc04HZU/4/vvvERAQgObNm0OSJIv9\\\n",
       "H6v529RZf8BASERKwd8gRER+RqVS2V1sxdvy8/Md1vHkHnm//fab1XJPBbPGjRtblN1zzz1W686f\\\n",
       "P9/t67g6ldNgMOD+++83KRs4cKDJ1iMlJSUMI17CQEhESsFASETkR+644w4YDAbo9XqHe+55Q1JS\\\n",
       "ksmCMrY4U8dZoaGhVsttrUzqqtrelylJEr799lucPn3a7rRNV0O8rffw6tWrcgiJiopyqU1yHgMh\\\n",
       "ESkFAyERkR+pOWVw0aJFTp0jSRL27t0Lo9EIo9GI8vJyt4KEJEm4dOmSU/U8qX///lbL7S16I4SQ\\\n",
       "P6i7e8+fNTX3XwwMDIROp4PRaMSwYcNwww03oLKyEsnJyTb75MzUzpycHAYMIiKqMwyERER+pObm\\\n",
       "62+99ZbD+kIIGI1G9OzZUw5IISEhKCoqghDCpfsTbW1lUFVVJQeYJUuWeHzLA1vBz15oqhm89Ho9\\\n",
       "wsLCrNbr2rWr1XJb01Gjo6PlVVJ1Op3VUbysrCyb/aoZVG09EhMTbZ5PdYcjhESkFAyERER+JDEx\\\n",
       "EXPnzsWDDz6IV155xW7d3Nxch+0FBQXh7NmztepTUFAQjEYjhBD4v//7P4vjH3zwASRJQkRERK2u\\\n",
       "Y85W8LQ2IlheXm617pEjRyzKQkJCanWPpq2FX7whMjIS2dnZ0Gq1KCwsxMSJExlOPISBkIiUgoGQ\\\n",
       "iMjPvPDCC8jMzHRYr0mTJk6117JlS3Tv3r2WvbJOq9Vi0qRJAIBr16559IOztfv13njjDZuje48/\\\n",
       "/rjJc1t9sRUenXHt2jUMHDjQ7fNdodPpUFxcjMTERKjVakRHR+Nf//oXjEYjdDpdnfShIWMgJCKl\\\n",
       "YCAkIiIcOHAAwcHBdutERka63O706dMtymqukukMWwFPr9dDkiTccMMNaNy4MVQqld3tKD7//HME\\\n",
       "BAQgKCjI5gd4dz/YCyGgVqs9Pgpqy5o1a+wu3BMYGIiioqI66UtDxUBIRErBQEhERACur7Zpb9GT\\\n",
       "0tJSaDQal+4RHD9+vEXZ1atXXeqXow3Xs7KyUFhY6NS2Do5GzwYNGuRS3wCgQ4cOUKlUdbo/4d13\\\n",
       "3+2wDlcgrT2GQSJSAgZCIiKSXbx40e5xrVaLgIAAkw/DrVu3tlm/efPmFmWu3J+3bNkyjy9SY8+F\\\n",
       "CxcsyoQQOHfuHHJzc01CZ3FxMSRJwokTJ+qsf4DnV3ElIiJl89xGUUREVK8YDAaXF0fZs2ePy9c5\\\n",
       "c+YMqqqqbI7kVW+3UB2mtFqt021bW6TGmw4fPozi4mJERUU5vU1EXfv222+dqleXQbohcmX0jyGd\\\n",
       "iPxZ/ftNR0REHvHGG284XbekpARNmjRBRkaGW9dyFDyrVyF1JWTZ22fQm6KjoyFJUr0MgxqNBvff\\\n",
       "f79TdUeOHOnl3jRsvIeQiJSi/v22IyIij3AmEJ46dQqSJCEqKgr5+fluXScoKMjuAifucnWlzICA\\\n",
       "AFy4cAHp6eke70t9EBYWhsrKSqfrL1u2zIu9afgYCIlIKRgIiYgaKEdTBoUQaNeuXa2uMW7cOJc2\\\n",
       "t3dWQUGBS/UTEhKg0+nQrFkzrF27FiNGjLBaT5IkPPPMM7XaZxAAVq9eDYPBACEEDAYDdDqdySio\\\n",
       "EAJHjx6t1TXMvfTSS07X5XTR2mMgJCKlYCAkImrA7rnnHpvHZs6c6Xa7qampEELgo48+crsNe1zt\\\n",
       "2/r1600+lC9dutTiQ3qHDh1gNBoxf/58t1YEValUKCsrgxACgwYNkqeUqlQqBAYGWlyvU6dOyM7O\\\n",
       "dvk6tkyfPt3p+y8drcxKjjEQEpFSMBASETVgq1evthlK5s+f71abu3btwqZNm2rRK/uEEPj0008B\\\n",
       "XA9b+/fvh8FgwB9//GHzHGuL4RiNRvk+xBkzZuDYsWMmxxMSEpzqz+rVq+WRwNDQUGdfBgAgMTHR\\\n",
       "pfr2CCGg0WjQr18/u3VCQ0PrdAuMhoqBkIiUgoGQiKiBa9q0KW666SaLclf3AwSuB7S+ffvaPF5e\\\n",
       "Xo6BAwciODgYKpXK7gforl274tq1a/K5RqMR9913H1QqFcrLy6FWq6HX69GjRw+oVCp07NgRX375\\\n",
       "pdXrPv7441bvOayqqoIQwuqG9Y0aNbL7WseMGSOPBtbGvn37anW+ud27d8vvoUajQWhoqLwViEql\\\n",
       "QkVFhd3zXQ069fFR/X219yAiIudw2wkiIgU4cOAAJEnCww8/jCVLlqBPnz5utWNriui2bdtw6623\\\n",
       "utTWkSNHEBERYfO40Wi0GHmxtSG7EAJBQUEuBYFTp05ZLW/cuDGuXLnidDuOWAvjnuLKFh7kGldG\\\n",
       "/jhCSET+jCOEREQKsnz5cgQEBLg9ajV27FiLssDAQJfDoDMMBoNFmaNFcAICApxaUOXrr7+2mFb5\\\n",
       "1VdfQQjh0TBYjYu8+B9OGSUipeAIIRERWaie0gkAOTk5uOWWW5CZmWnxwdfbH4TVajWqqqqgUqnw\\\n",
       "0EMPobCw0G59o9FodQVRSZIQHh4OrVZrsSpqjx49sH//fo/229r1hRAMDn6EI4REpBQMhEREZGHX\\\n",
       "rl0Op5WGh4d7vR96vb7WW0QA16eUlpaWWj3m7TBo3g+GB//AQEhESsEpo0REZKFz584O65SVldVB\\\n",
       "TxoedxbzsScmJgZ6vR5CCBiNRrzzzjsebV+pOGWUiJSCgZCIiCwcOXLE112oM55ekfLkyZMmQcG8\\\n",
       "fUerm7pi06ZNKCgokEdRJUnC3//+dwghsGDBAo9dh4iIGi4GQiIisnDHHXf4ugt1pnqvQk9p3769\\\n",
       "yfPqDew97ffff0dqaqrN4xMmTIAQAllZWejQoQNCQkI8/lobMo4QEpFS8B5CIiKy4Ggvu4ZEr9dD\\\n",
       "kiSMHDkScXFxmD9/vrzCqVarhVqtrvU1JEmS27rttttq1Vb1QjvOhpDk5GQcO3bMpC/kGO8hJCKl\\\n",
       "YCAkIiKrgoKCbO5zt23btjrujfd9/fXXFmWu7m0IACEhIVYDdW1H5wICAqDT6Rg+6ggDIREpBaeM\\\n",
       "EhGRVTqdDiqVCjqdzqR87NixFvsOqtVq5Obmwmg0QqfT4ZtvvkF4eLgiPyiXl5d7vM2wsDB5JLO2\\\n",
       "hBB+/9BoNF6fwskpo0SkFAyERGSVTqfDyy+/jC5duiAsLAxJSUkYNWoUsrOzHZ67cOFCJCcnIzg4\\\n",
       "GH379sWePXtMjldWVmLChAmIiYlBeHg4hg0bhtzcXG+9FL/Wr18/REVF+ez6QggEBQWZfPD97LPP\\\n",
       "TOpUT4ds0qQJJElCYGAghg8fjtLSUhiNRosP8waDATNnzvTRK3Ld6dOnXT6nY8eOHu2DrS0zyHsY\\\n",
       "CIlIKRgIiciq8vJy7N+/H6+//jr279+P7777DidPnsSQIUPsnrdixQpMnjwZ06ZNw/79+9GtWzek\\\n",
       "p6cjLy9PrvP888/jxx9/RGZmJjZv3ozs7Gzcf//93n5Jfmnnzp0oKiqCEALHjx/3dXes0mg0LtVX\\\n",
       "qVR4/fXX/WZPvvT0dJfP+eOPPzzah+p7Gt0hhMDatWvxyy+/4MqVKx7sFRERNQQMhERkVVRUFNat\\\n",
       "W4cHH3wQN954I/r164cFCxZg3759OH/+vM3z5s6diyeeeAKPPfYYOnbsiMWLFyM0NFQeVSouLsan\\\n",
       "n36KuXPnYsCAAejZsyc+//xz7NixA7t27aqrl+eX2rdvj9DQUF93w0Jtwoo/bI1g7+e9rnzyySdu\\\n",
       "nxsTE4O7774bd911F2JjYz3Yq4aNI4REpBQMhETktOLiYkiShOjoaKvHtVot9u3bh7S0NLlMpVIh\\\n",
       "LS0NO3fuBADs27cPOp3OpE779u3RokULuQ7ZVh83gze/x9AVTz/9tAd74h21eX2eMn78eAQGBmLj\\\n",
       "xo0unde8eXMUFhZ6qVcNGwMhESkFAyEROaWyshIvv/wyRowYgcjISKt1CgoKYDAYEB8fb1IeHx+P\\\n",
       "nJwcAEBOTg6CgoIsQmXNOtZUVVWhpKTE5KFUnt5I3RNqszXDpEmTrJaPGjVKvu/QWvvWFhup3qDd\\\n",
       "0+69916X6nujHwaDAQMGDJADiDNbg1y8eNHj/VAShkEiUgIGQiICACxZsgTh4eHyY+vWrfIxnU6H\\\n",
       "Bx98EEIIfPjhhz7p3+zZsxEVFSU/mjdv7pN+1Bf17f47vV6P6dOnu3XunDlzrJb/5z//kb+urKw0\\\n",
       "ObZu3Tqr59jaJqO2fvrpJ6frJiQkwGg0eqUfNTmaPlwf/3DgT+pyhJDhkoh8iYGQiAAAQ4YMwcGD\\\n",
       "B+VHr169APwvDJ47dw7r1q2zOToIALGxsQgICLBYMTQ3NxcJCQkArn9Y1mq1KCoqslnHmilTpqC4\\\n",
       "uFh+XLhwwc1X2nAYjUYYDAYsX74cgYG+31Z2xowZ0Ov1Lp/nzOiiSmX668rW5u7m9TzJmSnNgYGB\\\n",
       "dbpi7o033mjzmL1/q+RYXQVChkAi8jUGQiICAERERKBNmzbyIyQkRA6Dp06dwm+//YaYmBi7bQQF\\\n",
       "BaFnz55Yv369XGY0GrF+/XqkpKQAAHr27Am1Wm1S5+TJkzh//rxcxxqNRoPIyEiTB10PQA899BB0\\\n",
       "Op3XRsdcUZupo+ZqjrLNnj3b5Ji9bRg82Yeabr75ZpvHqu+vrc0CO+74888/ERAQIIcSlUqFwMBA\\\n",
       "SJKEa9eu1WlfGpq6CIQtW7b0cK+JiFzHQEhEVul0OjzwwAPYu3cvlixZAoPBgJycHOTk5JgEj4ED\\\n",
       "B5qsFDl58mR8/PHH+M9//oPjx49j/PjxKCsrw2OPPQbg+uqlY8eOxeTJk7Fx40bs27cPjz32GFJS\\\n",
       "UtCvX786f531XaNGjdC0aVPMmjXL4RRAtVqNRx55pI56Ztvy5cstyiIiIuQPzlOnTjU59uuvv1pt\\\n",
       "R6PRQKfT4cCBA3jllVdMjj311FM2r29t4R1JkjB48GC8+uqriIiIcOZlWCVJkklQNRgMVu+J9baQ\\\n",
       "kBA8+eSTCAsLM+lP9T6P5BsFBQWIi4uTH4MGDbJbv3oFW07vJSJfkgT/L0REVpw9exatWrWyemzj\\\n",
       "xo24/fbbAQDJyckYM2aMyf1jCxYswDvvvIOcnBx0794d8+fPR9++feXjlZWVeOGFF7Bs2TJUVVUh\\\n",
       "PT0dixYtsjtl1FxJSQnmzp3r1F/mp02b5nS79Y3560tOTkZWVpbN+uXl5QgLC/N2txyq+aulqqoK\\\n",
       "wcHBFnVatmyJwMBAtzZ+12g0FvcV1lRaWopWrVqhe/fuWLdundWfk1tuuQU7duxw+dqeEhwcjGvX\\\n",
       "riEgIAArVqzAww8/7PActVpt8gcZg8Hg8nThhvBrf8aMGQ7rTJ8+HcXFxS7PJoiLi0NBQQFWrlzp\\\n",
       "9L+lsrIyZGRkWD1m6/2u/pm87bbbsHnzZvl5Q/j+EJF/8f1NJ0RULyUnJzv1weTs2bMWZRMnTsTE\\\n",
       "iRNtnhMcHIyFCxdi4cKFtemiIp09exaHDx9G165drR6vi2mjQ4cOxXvvvYeePXuiuLjYYf2rV69a\\\n",
       "LT937pzbfXC0FURERAQKCgrs1tm+fTsWLlxo92fVW9RqtckqoQ899BCOHj2KWbNm2TwnMDDQ4vsb\\\n",
       "EBAAlUpVJ4vYKI0rU0Fr1qu512Pv3r0d1t+8ebObPSQi8gxOGSUi8jPdunWzeazmypzeIITAypUr\\\n",
       "0bp1axQVFaFjx44Oz4mLi/N4Pzy1rcOECRM80o6rrG0Z8cYbb9g9x1bYN7+/kjzDnXsIY2NjkZ+f\\\n",
       "Lz/WrFnj9HVqPucfy4ioLjEQEhE1IB9//LHX2n7++ectyo4ePerwPG+sgBoeHu6xtnyxsIc7gdbW\\\n",
       "aNXTTz9d2+6QFd5cVCYxMdHucV/9oYKIlIlTRomI6jFX7ydyJqB5kiRJTvWxPt8XZW3as6+48z6F\\\n",
       "h4fX6/fXX7k7ZdQZ2dnZNtvg95KI6hpHCImIiIiIiBSKI4REREREZrw5QmgNRwaJyFcYCImIiIjM\\\n",
       "1HUgJCLyFQZCIiIiIjMMhESkFAyERERERGYYCIlIKRgIiYiIiMwwEBKRUnCVUSIiIiIiIoXiCCER\\\n",
       "ERGRGY4QEpFSMBASERERmWEgJCKlYCAkIiIiMsNASERKwUBIREREZIaBkIiUgoGQiIiIyAoGPSJS\\\n",
       "Aq4ySkREREREpFAcISQiIiIywymjRKQUDIREREREZhgIiUgpGAiJiIiIzDAQEpFSMBASERERmWEg\\\n",
       "JCKlYCAkIiIiMsNASERKwUBIREREZIaBkIiUgttOEBERERERKRRHCImIiIjMcISQiJSCgZCIiIjI\\\n",
       "DAMhESkFAyERERGRGQZCIlIKBkIiIiIiMwyERKQUDIREREREZhgIiUgpuMooERERERGRQnGEkIiI\\\n",
       "iMgMRwiJSCkYCImIiIjMMBASkVIwEBIRERGZYSAkIqVgICQiIiIyw0BIRErBQEhERERkhoGQiJSC\\\n",
       "q4wSEREREREpFEcIiYiIiMxwhJCIlIKBkIiIiMgKBj0iUgIGQiIiIiIzHCEkIqVgICQiIiIyw0BI\\\n",
       "RErBQEhERERkhoGQiJSCgZCIiIjIDAMhESkFt50gIiIiIiJSKI4QEhEREZnhCCERKQUDIREREZEZ\\\n",
       "BkIiUgoGQiIiIiIzDIREpBQMhERERERmGAiJSCkYCImIiIjMMBASkVJwlVEiIiIiIiKF4gghERER\\\n",
       "kRlvjhDaqi+EcKkdIiJP4AghERERkZnqQOjswxPatWvnkXaIiFzBEUIiIiIiM94cITQfCVSr1dDr\\\n",
       "9Th16pRL7RAReQIDIRE1eDNmzPB1F4jIz7gTCAsKChAXFyeX9+7dG2vWrHF4vl6vd6+TREQewEBI\\\n",
       "REREZMbdEcKCggL5659//tnhuT/88IP8Ne8hJCJfYCAkIiIi8pDY2Fj56969ezusP3ToUG92h4jI\\\n",
       "IQZCIiIiIjPujBDGxsYiPz/fpWtU4+ggEfkKVxklIqc89dRTkCQJ8+bNc1h34cKFSE5ORnBwMPr2\\\n",
       "7Ys9e/aYHK+srMSECRMQExOD8PBwDBs2DLm5uV7qORGR67y5yujJkycZBomo3mAgJCKHvv/+e+za\\\n",
       "tQtJSUkO665YsQKTJ0/GtGnTsH//fnTr1g3p6enIy8uT6zz//PP48ccfkZmZic2bNyM7Oxv333+/\\\n",
       "N18CEZFLvBkI27dvb/VazkwxJSLyNAZCIrLr0qVLeOaZZ7BkyRKo1WqH9efOnYsnnngCjz32GDp2\\\n",
       "7IjFixcjNDQUn332GQCguLgYn376KebOnYsBAwagZ8+e+Pzzz7Fjxw7s2rXL2y+HiMhpdbkHIQDs\\\n",
       "3bvXY20RETmLgZCIbDIajXj00Ufx4osvolOnTg7ra7Va7Nu3D2lpaXKZSqVCWloadu7cCQDYt28f\\\n",
       "dDqdSZ327dujRYsWch0iIl/z5gihEMLmg4iornFRGSKy6e2330ZgYCCeffZZp+oXFBTAYDAgPj7e\\\n",
       "pDw+Ph4nTpwAAOTk5CAoKAjR0dEWdXJycmy2XVVVhaqqKvl5SUmJk6+CiIiIiGzhCCERAQCWLFmC\\\n",
       "8PBw+bF582Z88MEH+OKLLzw6Jcpds2fPRlRUlPxo3ry5r7tERA2YN0cIiYjqEwZCIgIADBkyBAcP\\\n",
       "HpQfO3bsQF5eHlq0aIHAwEAEBgbi3LlzeOGFF5CcnGy1jdjYWAQEBFisGJqbm4uEhAQAQEJCArRa\\\n",
       "LYqKimzWsWbKlCkoLi6WHxcuXKjV6yUisoeBkIiUglNGiQgAEBERgYiICPn5uHHjcO+995rUSU9P\\\n",
       "x6OPPorHHnvMahtBQUHo2bMn1q9fj4yMDADX70Ncv349Jk6cCADo2bMn1Go11q9fj2HDhgG4vgT7\\\n",
       "+fPnkZKSYrN/Go0GGo2mNi+RiMhp7uxDSETkjxgIiciqmJgYxMTEmJSp1WokJCTgxhtvlMsGDhyI\\\n",
       "++67Tw58kydPxujRo9GrVy/06dMH8+bNQ1lZmRwio6KiMHbsWEyePBmNGzdGZGQknnnmGaSkpKBf\\\n",
       "v3519wKJiOxgICQipWAgJKJaOX36NAoKCuTnDz30EPLz8zF16lTk5OSge/fuWLt2rclCM++//z5U\\\n",
       "KhWGDRuGqqoqpKenY9GiRb7oPhGRVQyERKQUkuAax0Tkh0pKSjB37lx+ECMiq6ZPn47i4mJERka6\\\n",
       "dF5cXBwKCgqQnZ3t9LklJSVISkpCbGws8vPz3ekuEZHPcFEZIiIiIiIiheKUUSIiIiIznDJKRErB\\\n",
       "QEhERERkhoGQiJSCgZCIiIjIDAMhESkFAyERERGRGQZCIlIKBkIiIiIiMwyERKQUXGWUiIiIiIhI\\\n",
       "oThCSERERGSGI4REpBQMhERERERmGAiJSCkYCImIiIjMMBASkVIwEBIRERGZYSAkIqVgICQiIiIy\\\n",
       "w0BIRErBVUaJiIiIiIgUiiOEROSXhBC+7gIR1XO1+f9EaWmp0yN/paWlbl+HiMjXGAiJyC+VlpZi\\\n",
       "xowZvu4GEdVjpaWliIqKcumcjh07YsuWLWjevLnL1+vYsaPL5xAR+Zok+Gd2IvJDRqMR2dnZiIiI\\\n",
       "UPT9OyUlJWjevDkuXLiAyMhIX3fHZ/g+XMf34TohBEpLS5GUlASVyvW7Y1JTU3Hs2DGXzunYsSM2\\\n",
       "b97s8rWIiHyNgZCIyI+VlJQgKioKxcXFig4AfB+u4/tARESu4qIyRERERERECsVASEREREREpFAM\\\n",
       "hEREfkyj0WDatGnQaDS+7opP8X24ju8DERG5ivcQEhERERERKRRHCImIiIiIiBSKgZCIiIiIiEih\\\n",
       "GAiJiIiIiIgUioGQiKge0el0ePnll9GlSxeEhYUhKSkJo0aNQnZ2tsNzFy5ciOTkZAQHB6Nv377Y\\\n",
       "s2ePyfHKykpMmDABMTExCA8Px7Bhw5Cbm+utl1Irjl6LuczMTLRv3x7BwcHo0qUL1qxZY3JcCIGp\\\n",
       "U6ciMTERISEhSEtLw6lTp7z5Empt9uzZ6N27NyIiItCkSRNkZGTg5MmTDs9riO8FERF5DwMhEVE9\\\n",
       "Ul5ejv379+P111/H/v378d133+HkyZMYMmSI3fNWrFiByZMnY9q0adi/fz+6deuG9PR05OXlyXWe\\\n",
       "f/55/Pjjj8jMzMTmzZuRnZ2N+++/39svyWXOvJaaduzYgREjRmDs2LE4cOAAMjIykJGRgaNHj8p1\\\n",
       "5syZg/nz52Px4sXYvXs3wsLCkJ6ejsrKyrp6WS7bvHkzJkyYgF27dmHdunXQ6XS48847UVZWZvOc\\\n",
       "hvpeEBGRFwkiIqrX9uzZIwCIc+fO2azTp08fMWHCBPm5wWAQSUlJYvbs2UIIIYqKioRarRaZmZly\\\n",
       "nePHjwsAYufOnd7rvBscvRZzDz74oBg8eLBJWd++fcWTTz4phBDCaDSKhIQE8c4778jHi4qKhEaj\\\n",
       "EcuWLfPCK/COvLw8AUBs3rzZZh2lvBdEROQ5HCEkIqrniouLIUkSoqOjrR7XarXYt28f0tLS5DKV\\\n",
       "SoW0tDTs3LkTALBv3z7odDqTOu3bt0eLFi3kOvWBM6/F3M6dO03qA0B6erpcPysrCzk5OSZ1oqKi\\\n",
       "0Ldv33r12h0pLi4GADRu3NhmHaW8F0RE5DkMhERE9VhlZSVefvlljBgxApGRkVbrFBQUwGAwID4+\\\n",
       "3qQ8Pj4eOTk5AICcnBwEBQVZhMqadeoDZ16LuZycHIevvbrM2TbrG6PRiEmTJuGWW25B586dbdZT\\\n",
       "wntBRESexUBIRORDS5YsQXh4uPzYunWrfEyn0+HBBx+EEAIffvihD3tJvjZhwgQcPXoUy5cv93VX\\\n",
       "iIiogQn0dQeIiJRsyJAh6Nu3r/y8adOmAP4XBs+dO4cNGzbYHB0EgNjYWAQEBFisGJqbm4uEhAQA\\\n",
       "QEJCArRaLYqKikxGCWvWqQ+ceS3mEhISHL726rLExESTOt27d/dg771j4sSJ+Omnn7BlyxY0a9bM\\\n",
       "bt2G/l4QEZHncYSQiMiHIiIi0KZNG/kREhIih8FTp07ht99+Q0xMjN02goKC0LNnT6xfv14uMxqN\\\n",
       "WL9+PVJSUgAAPXv2hFqtNqlz8uRJnD9/Xq5THzjzWsylpKSY1AeAdevWyfVbtWqFhIQEkzolJSXY\\\n",
       "vXt3vXrt5oQQmDhxIr7//nts2LABrVq1cnhOQ30viIjIi3y9qg0REf2PVqsVQ4YMEc2aNRMHDx4U\\\n",
       "ly9flh9VVVVyvQEDBoh//etf8vPly5cLjUYjvvjiC3Hs2DExbtw4ER0dLXJycuQ6Tz31lGjRooXY\\\n",
       "sGGD2Lt3r0hJSREpKSl1+vqc4ei1PProo+If//iHXH/79u0iMDBQvPvuu+L48eNi2rRpQq1WiyNH\\\n",
       "jsh13nrrLREdHS1WrVolDh8+LIYOHSpatWolKioq6vz1OWv8+PEiKipKbNq0yeTnoLy8XK6jlPeC\\\n",
       "iIi8h4GQiKgeycrKEgCsPjZu3CjXa9mypZg2bZrJuf/6179EixYtRFBQkOjTp4/YtWuXyfGKigrx\\\n",
       "9NNPi0aNGonQ0FBx3333icuXL9fBq3KdvdeSmpoqRo8ebVL/m2++Ee3atRNBQUGiU6dOYvXq1SbH\\\n",
       "jUajeP3110V8fLzQaDRi4MCB4uTJk3XxUtxm6+fg888/l+so5b0gIiLvkYQQwjdjk0RERERERORL\\\n",
       "vIeQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEihGAiJiIiIiIgU\\\n",
       "ioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiI/MKnn36KO++80+vXWbt2Lbp37w6j0ej1axEREfkaAyER\\\n",
       "EdV7lZWVeP311zFt2jSvX+uuu+6CWq3GkiVLvH4tIiIiX2MgJCKieu/bb79FZGQkbrnlljq53pgx\\\n",
       "YzB//vw6uRYREZEvMRASEVGdyc/PR0JCAt588025bMeOHQgKCsL69ettnrd8+XLce++9JmW33347\\\n",
       "Jk2aZFKWkZGBMWPGyM+Tk5Mxa9YsjBo1CuHh4WjZsiV++OEH5OfnY+jQoQgPD0fXrl2xd+9ek3bu\\\n",
       "vfde7N27F6dPn3b/xRIREfkBBkIiIqozcXFx+OyzzzB9+nTs3bsXpaWlePTRRzFx4kQMHDjQ5nnb\\\n",
       "tm1Dr1693Lrm+++/j1tuuQUHDhzA4MGD8eijj2LUqFEYOXIk9u/fj9atW2PUqFEQQsjntGjRAvHx\\\n",
       "8di6datb1yQiIvIXDIRERFSnBg0ahCeeeAKPPPIInnrqKYSFhWH27Nk26xcVFaG4uBhJSUluX+/J\\\n",
       "J59E27ZtMXXqVJSUlKB3794YPnw42rVrh5dffhnHjx9Hbm6uyXlJSUk4d+6cW9ckIiLyFwyERERU\\\n",
       "5959913o9XpkZmZiyZIl0Gg0NutWVFQAAIKDg926VteuXeWv4+PjAQBdunSxKMvLyzM5LyQkBOXl\\\n",
       "5W5dk4iIyF8wEBIRUZ07ffo0srOzYTQacfbsWbt1Y2JiIEkSCgsLHbZrMBgsytRqtfy1JEk2y8y3\\\n",
       "mbh69Sri4uIcXpOIiMifMRASEVGd0mq1GDlyJB566CG88cYb+Nvf/mYxOldTUFAQOnbsiGPHjlkc\\\n",
       "M5/meebMGY/0sbKyEqdPn0aPHj080h4REVF9xUBIRER16tVXX0VxcTHmz5+Pl19+Ge3atcPjjz9u\\\n",
       "95z09HRs27bNonzVqlX47rvvcPr0afzzn//EsWPHcO7cOVy6dKlWfdy1axc0Gg1SUlJq1Q4REVF9\\\n",
       "x0BIRER1ZtOmTZg3bx6++uorREZGQqVS4auvvsLWrVvx4Ycf2jxv7NixWLNmDYqLi03KBw8ejDlz\\\n",
       "5qBjx47YsmULFi1ahD179uCrr76qVT+XLVuGRx55BKGhobVqh4iIqL6TRM11tomIiOqp4cOH46ab\\\n",
       "bsKUKVMAXN+HsHv37pg3b55Hr1NQUIAbb7wRe/fuRatWrTzaNhERUX3DEUIiIvIL77zzDsLDw71+\\\n",
       "nbNnz2LRokUMg0REpAgcISQiIr/krRFCIiIiJWEgJCIiIiIiUihOGSUiIiIiIlIoBkIiIiIiIiKF\\\n",
       "YiAkIiIiIiJSKAZCIiIiIiIihWIgJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIoBkIiIiIiIiKF\\\n",
       "YiAkIiIiIiJSKAZCIiIiIiIihWIgJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIoBkIiIiIiIiKF\\\n",
       "+v98DHXOD7+DQgAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[38] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAbUdJREFUeJzt3Xd4VMXCBvD37CbZ9EpICF2KoQrSFYQrkaBIUVTkCgiiKAKK\\\n",
       "eAVRuihWBETkei14uSiIH4IK0kKXojQvSBHpBEJIQhJI2zbfHzw5N9t7Npvz/p5nH5M5c+bMbkDO\\\n",
       "m5kzIwkhBIiIiIiIiEhxVP7uABEREREREfkHAyEREREREZFCMRASEREREREpFAMhERERERGRQjEQ\\\n",
       "EhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERERERGRQjEQ\\\n",
       "EhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEZFbtm3bBkmSsG3bNn93hbzs\\\n",
       "119/RUhICM6fP1/p187NzUVERATWrVtX6dcmIlIiBkIiIrJr0aJFWLJkib+74Zavv/4a8+bN83c3\\\n",
       "AABGoxHvvvsuGjZsiNDQULRu3RrffPON0+fn5+dj1KhRSExMREREBP72t7/h4MGDFvVWrFiBIUOG\\\n",
       "oEmTJpAkCT169HC5r6+//joGDx6M+vXru3yupxISEvD0009j6tSplX5tIiIlkoQQwt+dICKiqqtl\\\n",
       "y5aoUaOGxUig0WiEVqtFSEgIVKqq+fvFBx98EEePHsW5c+f83RVMnjwZb7/9Np555hl06NABa9as\\\n",
       "wdq1a/HNN9/g8ccft3uu0WhEt27d8Pvvv+OVV15BjRo1sGjRIly8eBEHDhxAkyZN5Lo9evTAgQMH\\\n",
       "0KFDBxw+fBitW7d2aRT38OHDaNu2LXbv3o0uXbq4+3Y9cvz4cTRv3hwZGRm49957/dIHIiKlYCAk\\\n",
       "InJCUVERIiIi/N0Nv7AVCANBVQmEmZmZaNiwIUaNGoWFCxcCAIQQ6N69O86ePYtz585BrVbbPP/b\\\n",
       "b7/FoEGDsHLlSjzyyCMAgGvXrqFp06a4//778fXXX8t1L168iNq1a0OlUrn1s3vxxRexevVqnDt3\\\n",
       "DpIkufeGvaBVq1Zo27Yt/v3vf/utD0RESlA1f6VLRORDmZmZGDlyJFJSUqDRaNCwYUOMHj0aWq0W\\\n",
       "ALBkyRJIkoTt27fj+eefR82aNVGnTh35/EWLFqFFixbQaDRISUnBmDFjkJ+fb3KNU6dOYeDAgUhO\\\n",
       "TkZoaCjq1KmDxx9/HAUFBXKdTZs2oWvXroiNjUVkZCRuv/12vPbaaw7778x5ZWVlmD59Oho3bgyN\\\n",
       "RoO6deti4sSJKCsrs2jvP//5Dzp27Ijw8HDExcXhnnvuwcaNGwEADRo0wB9//IHt27dDkiSTKYi2\\\n",
       "niFcuXIl2rVrh7CwMNSoUQNDhgxBZmamSZ3hw4cjMjISmZmZGDBgACIjI5GYmIh//OMfMBgMDj+D\\\n",
       "NWvWoE+fPvLPsFGjRnjjjTdMzu3RowfWrl2L8+fPy31v0KCBzTaHDx8u1zN/zZgxw2GfHPVXp9Ph\\\n",
       "+eefl8skScLo0aNx6dIl7Nmzx+753333HZKSkvDwww/LZYmJiXjsscewZs0ak59r3bp1PRqxXb16\\\n",
       "Ne69916LMGjrc2jQoAGGDx8uf1/+92fXrl144YUXkJiYiNjYWDz77LPQarXIz8/HsGHDEBcXh7i4\\\n",
       "OEycOBHWfjd933334ccff7R6jIiIvCfI3x0gIqpMly9fRseOHeXnsVJTU5GZmYnvvvsOxcXFCAkJ\\\n",
       "kes+//zzSExMxLRp01BUVAQAmDFjBmbOnIm0tDSMHj0aJ0+exCeffILffvsNv/zyC4KDg6HVapGe\\\n",
       "no6ysjKMGzcOycnJyMzMxE8//YT8/HzExMTgjz/+wIMPPojWrVtj1qxZ0Gg0+Ouvv/DLL7/Y7b8z\\\n",
       "5xmNRvTr1w+7du3CqFGj0KxZMxw5cgQffvgh/vzzT6xevVquO3PmTMyYMQN33XUXZs2ahZCQEOzb\\\n",
       "tw9btmxBr169MG/ePIwbNw6RkZF4/fXXAQBJSUk2+7dkyRKMGDECHTp0wJw5c3D16lXMnz8fv/zy\\\n",
       "Cw4dOoTY2Fi5rsFgQHp6Ojp16oT3338fmzdvxgcffIBGjRph9OjRdj+HJUuWIDIyEhMmTEBkZCS2\\\n",
       "bNmCadOmobCwEO+99x6AW8/BFRQU4NKlS/jwww8BAJGRkTbbfPbZZ5GWlmZStn79eixbtgw1a9aU\\\n",
       "y3Jycuz2rVxUVBQ0Gg0A4NChQ4iIiECzZs1M6nTs2FE+3rVrV5ttHTp0CHfeeadF0OvYsSM+/fRT\\\n",
       "/Pnnn2jVqpVT/bInMzMTFy5cwJ133ulxW+V/9mfOnIm9e/fi008/RWxsLHbv3o169erhrbfewrp1\\\n",
       "6/Dee++hZcuWGDZsmMn57dq1w4cffog//vgDLVu29Lg/RERkgyAiUpBhw4YJlUolfvvtN4tjRqNR\\\n",
       "CCHEl19+KQCIrl27Cr1eLx/Pzs4WISEholevXsJgMMjlCxcuFADEF198IYQQ4tChQwKAWLlypc1+\\\n",
       "fPjhhwKAuHbtmkv9d+a8pUuXCpVKJXbu3GlSvnjxYgFA/PLLL0IIIU6dOiVUKpV46KGHTN6PEP/7\\\n",
       "LIQQokWLFqJ79+4W19m6dasAILZu3SqEEEKr1YqaNWuKli1bipKSErneTz/9JACIadOmyWVPPvmk\\\n",
       "ACBmzZpl0mbbtm1Fu3bt7H8IQoji4mKLsmeffVaEh4eL0tJSuaxPnz6ifv36Dtuz5tSpUyImJkbc\\\n",
       "d999Jn8OADj1+vLLL036cdttt1lco6ioSAAQr776qt2+REREiKeeesqifO3atQKAWL9+vdXzbP3s\\\n",
       "bNm8ebMAIH788UeLYwDE9OnTLcrr168vnnzySfn78r8/6enpJn+OunTpIiRJEs8995xcptfrRZ06\\\n",
       "daz2cffu3QKAWLFihdP9JyIi13HKKBEphtFoxOrVq9G3b1+0b9/e4rj5FLlnnnnG5LmuzZs3Q6vV\\\n",
       "Yvz48SYjNc888wyio6Oxdu1aAEBMTAwAYMOGDSguLrbal/KRsjVr1sBoNDr9Hpw5b+XKlWjWrBlS\\\n",
       "U1ORk5Mjv8oX59i6dSuAW1MDjUYjpk2bZjHy5M6zY/v370d2djaef/55hIaGyuV9+vRBamqq/PlU\\\n",
       "9Nxzz5l8361bN5w5c8bhtcLCwuSvb9y4gZycHHTr1g3FxcU4ceKEy303V1RUhIceeghxcXH45ptv\\\n",
       "TP4cbNq0yalXenq6fE5JSYk8WlhR+edUUlJitz+enu+s3NxcAEBcXJzHbY0cOdLkz1GnTp0ghMDI\\\n",
       "kSPlMrVajfbt21v9mZf3wdkRWSIicg+njBKRYly7dg2FhYVOTz9r2LChyffle7LdfvvtJuUhISG4\\\n",
       "7bbb5OMNGzbEhAkTMHfuXCxbtgzdunVDv379MGTIEDksDho0CJ999hmefvppvPrqq+jZsycefvhh\\\n",
       "PPLII3af/3LmvFOnTuH48eNITEy02kZ2djYA4PTp01CpVGjevLlTn4cjtj4fAEhNTcWuXbtMykJD\\\n",
       "Qy36GBcXh+vXrzu81h9//IEpU6Zgy5YtKCwsNDlW8TlNdz3zzDM4ffo0du/ejYSEBJNj5tNKnREW\\\n",
       "Fmb1+c3S0lL5uC/Pd5XwwnN79erVM/m+/M9+3bp1Lcqt/czL++DPhW2IiJSAgZCIyAZPbrI/+OAD\\\n",
       "DB8+HGvWrMHGjRvxwgsvYM6cOdi7dy/q1KmDsLAw7NixA1u3bsXatWuxfv16rFixAvfeey82btxo\\\n",
       "c8VJZ84zGo1o1aoV5s6da7UN8xtyf7G3qqY9+fn56N69O6KjozFr1iw0atQIoaGhOHjwICZNmuTS\\\n",
       "iKs18+fPxzfffIP//Oc/aNOmjcXxrKwsp9qJiYmR/wzVqlULW7duhRDCJOBcuXIFAJCSkmK3rVq1\\\n",
       "asl1K3L2fGeVh19nQnk5W+HR1s/XWrm1Nsr7UKNGDaf7QkREruOUUSJSjMTERERHR+Po0aNunV++\\\n",
       "SffJkydNyrVaLc6ePWuxiXerVq0wZcoU7NixAzt37kRmZiYWL14sH1epVOjZsyfmzp2LY8eO4c03\\\n",
       "38SWLVvkKZ22ODqvUaNGyMvLQ8+ePZGWlmbxKh/Ba9SoEYxGI44dO2b3es6O0Nj6fMrLvLXJ+bZt\\\n",
       "25Cbm4slS5bgxRdfxIMPPoi0tDSr0xxdHV3auXMn/vGPf2D8+PF44oknrNapVauWU68VK1bI57Rp\\\n",
       "0wbFxcU4fvy4SVv79u2Tj9vTpk0bHDx40CLs7tu3D+Hh4WjatKlL79OW1NRUAMDZs2etHr9x44ZF\\\n",
       "WfmIs7eV98F8IR4iIvIuBkIiUgyVSoUBAwbgxx9/xP79+y2OO5oml5aWhpCQECxYsMCk7ueff46C\\\n",
       "ggL06dMHAFBYWAi9Xm9ybqtWraBSqeRpf3l5eRbtl4cCa1MDyzlz3mOPPYbMzEz861//sqhbUlIi\\\n",
       "r5g6YMAAqFQqzJo1yyJoVHx/ERERFttqWNO+fXvUrFkTixcvNnkPP//8M44fPy5/Pp4qH2Gq2Eet\\\n",
       "VotFixZZ1I2IiHB6CumVK1fw2GOPoWvXrvJKpda48wxh//79ERwcbNJHIQQWL16M2rVr46677jLp\\\n",
       "x4kTJ6DT6eSyRx55BFevXsWqVavkspycHKxcuRJ9+/a1+nyhO2rXro26deta/fsBwGKLkZ9//hml\\\n",
       "paU+2RriwIEDiImJQYsWLbzeNhER/Q+njBKRorz11lvYuHEjunfvLm/JcOXKFaxcuRK7du0y2RbB\\\n",
       "XGJiIiZPnoyZM2eid+/e6NevH06ePIlFixahQ4cOGDJkCABgy5YtGDt2LB599FE0bdoUer0eS5cu\\\n",
       "hVqtxsCBAwEAs2bNwo4dO9CnTx/Ur18f2dnZWLRoEerUqWN3+wFnzhs6dCi+/fZbPPfcc9i6dSvu\\\n",
       "vvtuGAwGnDhxAt9++y02bNiA9u3bo3Hjxnj99dfxxhtvoFu3bnj44Yeh0Wjw22+/ISUlBXPmzAFw\\\n",
       "a/n/Tz75BLNnz0bjxo1Rs2ZNeYGaioKDg/HOO+9gxIgR6N69OwYPHixvO9GgQQO89NJL7v7YTNx1\\\n",
       "112Ii4vDk08+iRdeeAGSJGHp0qVWQ0m7du2wYsUKTJgwAR06dEBkZCT69u1rtd0XXngB165dw8SJ\\\n",
       "E7F8+XKTY61bt0br1q0BuPcMYZ06dTB+/Hi899570Ol06NChA1avXo2dO3di2bJlJtMoJ0+ejK++\\\n",
       "+gpnz56V90185JFH0LlzZ4wYMQLHjh1DjRo1sGjRIhgMBsycOdPkWjt27MCOHTsA3HputqioCLNn\\\n",
       "zwYA3HPPPbjnnnvs9rV///74/vvvLaa3AsDx48fxwAMPoF+/frh8+TLmz5+PmJgY7N69G9988w0G\\\n",
       "Dx7s8mdjy6ZNm9C3b18+Q0hE5Gv+WNqUiMifzp8/L4YNGyYSExOFRqMRt912mxgzZowoKysTQvxv\\\n",
       "2XxrW1MIcWubidTUVBEcHCySkpLE6NGjxfXr1+XjZ86cEU899ZRo1KiRCA0NFfHx8eJvf/ub2Lx5\\\n",
       "s1wnIyND9O/fX6SkpIiQkBCRkpIiBg8eLP7880+7fXf2PK1WK9555x3RokULodFoRFxcnGjXrp2Y\\\n",
       "OXOmKCgoMKn7xRdfiLZt28r1unfvLjZt2iQfz8rKEn369BFRUVECgLxFgPm2E+VWrFghtxcfHy+e\\\n",
       "eOIJcenSJZM6Tz75pIiIiLB4f9OnTxfO/NP0yy+/iM6dO4uwsDCRkpIiJk6cKDZs2GDRn5s3b4q/\\\n",
       "//3vIjY2VgCwuwVF9+7dbW4hYW27BVcZDAbx1ltvifr164uQkBDRokUL8Z///MeiXvmWHGfPnjUp\\\n",
       "z8vLEyNHjhQJCQkiPDxcdO/e3eqf0fLP0N33cfDgQQHAYtsSAGLChAni0UcfFWFhYaJWrVpi4cKF\\\n",
       "YvHixSI8PFw8/fTTQgjbf3/K+2W+ZYq1PwvHjx8XAEz+zhARkW9IQvhgngcREREFrJ49eyIlJQVL\\\n",
       "ly6VyyRJwvTp0zFjxgyfX3/8+PHYsWMHDhw4wBFCIiIf4zOEREREZOKtt97CihUr5K1EKlNubi4+\\\n",
       "++wzzJ49m2GQiKgS8BlCIiIiMtGpUydotVq/XDshIQE3b970y7WJiJSII4REREREREQKxRFCIiIi\\\n",
       "cohLDhARVU8cISQiIiIiIlIoBkIiIiIiIiKF4pRRIgpIRqMRly9fRlRUFFciJCITQgjcuHEDKSkp\\\n",
       "UKlc/913t27dcOzYMZfOad68OXbu3OnytYiI/I37EBJRQLp06RI+++wzf3eDiKqomTNn4uLFi6hT\\\n",
       "p45L53Xr1g27du1y65pdu3ZlKCSigMMRQiIKSFFRUQDA0UEisqn8/xOucHVk0N1zrf2/q/x39KNG\\\n",
       "jcK//vUvq+fx9/hE5G0MhEQUkBgEicgRT/8/4ez53g5p3377rVfbIyKyh4GQiIiIyIwkSS4FSldD\\\n",
       "YcX65tfJz8+32p/y/3KUkIi8iauMEhEREZkpD4TOvgAgLy8PCQkJ8is9Pd3r/YqPj/d6m0SkbBwh\\\n",
       "JCIiIjLj6ghhuby8PPnrjRs3eqUv3bp1k7/Ozc31SptEROUYCImIiIjMuBsIK47gtW/f3uN+jBo1\\\n",
       "Sl71lKODROQLDIREREREZtwJhPHx8V4dwau42mhISAhHB4nIJ/gMIREREVEVUzEMqtVqlJWV+blH\\\n",
       "RFRdMRASERERmXFnURlX1K1b1+Lc8u/N9yE0GAzysccee8wr74+IqBynjBIRERGZcTfoOevSpUs2\\\n",
       "j9nalB4AVq5c6YvuEJGCMRASERERmfF1IORegkRUVTAQEhEREZnxdSAkIqoqGAiJiIiIzDAQEpFS\\\n",
       "cFEZIiIiIiIiheIIIREREZEZjhASkVJwhJCInPb2229DkiSMHz/ebr2VK1ciNTUVoaGhaNWqFdat\\\n",
       "W2dyXAiBadOmoVatWggLC0NaWhpOnTrlw54TEbnG19tOEBFVFQyEROSU3377Df/85z/RunVru/V2\\\n",
       "796NwYMHY+TIkTh06BAGDBiAAQMG4OjRo3Kdd999FwsWLMDixYuxb98+REREID09HaWlpb5+G0RE\\\n",
       "TmEgJCKlYCAkIodu3ryJJ554Av/6178QFxdnt+78+fPRu3dvvPLKK2jWrBneeOMN3HnnnVi4cCGA\\\n",
       "W6OD8+bNw5QpU9C/f3+0bt0a//73v3H58mWsXr26Et4NEZFjDIREpBQMhETk0JgxY9CnTx+kpaU5\\\n",
       "rLtnzx6Leunp6dizZw8A4OzZs8jKyjKpExMTg06dOsl1rCkrK0NhYaHJi4jIVxgIiUgpGAiJyK7l\\\n",
       "y5fj4MGDmDNnjlP1s7KykJSUZFKWlJSErKws+Xh5ma061syZMwcxMTHyq27duq68DSIiIiKygoGQ\\\n",
       "iGy6ePEiXnzxRSxbtgyhoaF+7cvkyZNRUFAgvy5evOjX/hBR9cYRQiJSCm47QUQ2HThwANnZ2bjz\\\n",
       "zjvlMoPBgB07dmDhwoUoKyuDWq02OSc5ORlXr141Kbt69SqSk5Pl4+VltWrVMqnTpk0bm33RaDTQ\\\n",
       "aDSeviUiIqcw6BGRUnCEkIhs6tmzJ44cOYLDhw/Lr/bt2+OJJ57A4cOHLcIgAHTp0gUZGRkmZZs2\\\n",
       "bUKXLl0AAA0bNkRycrJJncLCQuzbt0+uQ0RUFXB0kIiUgCOERGRTVFQUWrZsaVIWERGBhIQEuXzY\\\n",
       "sGGoXbu2/Izhiy++iO7du+ODDz5Anz59sHz5cuzfvx+ffvopAMj7GM6ePRtNmjRBw4YNMXXqVKSk\\\n",
       "pGDAgAGV+v6IiGxxJewxFBJRIGMgJCKPXLhwASrV/yYb3HXXXfj6668xZcoUvPbaa2jSpAlWr15t\\\n",
       "EiwnTpyIoqIijBo1Cvn5+ejatSvWr1/v9+cUiYjKMRASkVJIQgjh704QEbmqsLAQc+fO5Y0YEVk1\\\n",
       "Y8YMFBQUIDo62qXzEhISkJeXhxo1apj8ssseo9GInJwcxMfHIzc3153uEhH5DZ8hJCIiIiIiUihO\\\n",
       "GSUiIiIywymjRKQUDIREREREZhgIiUgpGAiJqNqbPn26v7tARF40c+ZMn1+DgZCIlIKBkIiIiMgM\\\n",
       "AyERKQUDIREREZEZBkIiUgquMkpERERERKRQHCEkIiIiMsMRQiJSCgZCIiIiIjMMhESkFAyERERE\\\n",
       "RGYYCIlIKRgIiYiIiMwwEBKRUjAQEhEREZlhICQipeAqo0RERERERArFEUIiIiIiMxwhJCKlYCAk\\\n",
       "IiIiMsNASERKwUBIREREZIaBkIiUgoGQiIiIyAwDIREpBQMhERERkRUMekSkBFxllIiIiIiISKE4\\\n",
       "QkhERERkhlNGiUgpGAiJiIiIzDAQEpFSMBASERERmWEgJCKlYCAkIiIiMsNASERKwUBIREREZIaB\\\n",
       "kIiUgoGQiIiIyAwDIREpBbedICIiIiIiUiiOEBIRERGZ4QghESkFAyERERGRGQZCIlIKThklIiIi\\\n",
       "MlMeCJ19eaP9ik6cOOGV6xAROcJASERERGTG14HQkWbNmlkt79atm9evRUTKxkBIREREZMbXgVAI\\\n",
       "Ib/MnThxwqJeTEwMAGDXrl3uvykiIisYCImIiIiqEGujg/n5+ZXfESJSBAZCIiIiIjPujBDm5eUh\\\n",
       "ISFBfqWnp/v5XRAROcZVRomIiIjMuLvKaF5envz1xo0bvd4vIiJvYyAkIiIiMuNuIIyPj5e/bt++\\\n",
       "vdf7RUTkbQyERERERGbcCYTx8fHIzc31+NrHjx+3eI4wISHB43aJiKxhICQiIiIy4+uN6evWrYtL\\\n",
       "ly5ZbafiyqPmbXft2tXlaxER2cNFZYiIiIgqmXkYNHf8+HGr5Tt37vRFd4hIwThCSERERGTG1yOE\\\n",
       "1vYfrCg1NdVhHSIib2AgJCIiIrLCnaBHRBRoGAiJiIiIzPh6hJCIqKpgICQiIiIyw0BIRErBQEhE\\\n",
       "RERkhoGQiJSCgZCIiIjIDAMhESkFt50gIiIiIiJSKI4QEhEREZnhCCERKQUDIREREZEZBkIiUgoG\\\n",
       "QiIiIiIzDIREpBQMhERERERmGAiJSCkYCImIiIjMMBASkVJwlVEiIiIiIiKF4gghEVEVZmvkQQhR\\\n",
       "yT3xH6PRCLVa7fb5jj4rpY3uKOnPjic4QkhESsFASEQUYDwJR4GopKTE7XN5o07uYiAkIqVgICQi\\\n",
       "CjBardbfXahUZ8+edfvcvLw8u8c/+ugjt9um6o2BkIiUgoGQiChABAcHo7S0FCqVsh7/rlmzplvn\\\n",
       "Pfroo4iNjbVb54UXXnCrbar+GAiJSCmUdVdBRC6ZM2cOOnTogKioKNSsWRMDBgzAyZMnHZ63cuVK\\\n",
       "pKamIjQ0FK1atcK6detMjgshMG3aNNSqVQthYWFIS0vDqVOnfPU2ApoQQn5ptVrFhUHAfiDU6XQm\\\n",
       "n5EQAgaDAUIIfPvtt3bbrV+/vkf9CgoKUuTPQynKA6GzLyKiQMV/yYjIpu3bt2PMmDHYu3cvNm3a\\\n",
       "BJ1Oh169eqGoqMjmObt378bgwYMxcuRIHDp0CAMGDMCAAQNw9OhRuc67776LBQsWYPHixdi3bx8i\\\n",
       "IiKQnp6O0tLSynhbFIA2bdpk8n1cXByEEAgKspzo4kxIu/fee3HhwgW3+mI0GiGEgE6nk8OnJ885\\\n",
       "elPPnj1NwnHr1q393SUiIqriGAiJyKb169dj+PDhaNGiBe644w4sWbIEFy5cwIEDB2yeM3/+fPTu\\\n",
       "3RuvvPIKmjVrhjfeeAN33nknFi5cCODWiNe8efMwZcoU9O/fH61bt8a///1vXL58GatXr66kd0aB\\\n",
       "Ji0tDUII6PV6CCEcPhtoS25uLiRJwtatW90632g0Wh0NCg0NhcFgcKtNbzl27Bg2b95sUvb777/j\\\n",
       "nXfe8VOPAhtHCIlIKRgIichpBQUFAID4+Hibdfbs2YO0tDSTsvT0dOzZswfArQVCsrKyTOrExMSg\\\n",
       "U6dOch1rysrKUFhYaPKiwFCvXj2Ehobi0qVLHrfl7gqrQghIkoQaNWp4dH17N/4qlcpvK8A2bdoU\\\n",
       "zZo1s3ps4sSJSElJqeQeBT4GQiJSCgZCInKK0WjE+PHjcffdd6Nly5Y262VlZSEpKcmkLCkpCVlZ\\\n",
       "WfLx8jJbdayZM2cOYmJi5FfdunXdfStUSa5cuQJJknDx4kWUlZWhbt26OHfunF/64o1n/f72t785\\\n",
       "rDN79myPr+MOR8/2ZmZmWvyihuxjICQipWAgJCKnjBkzBkePHsXy5cv9cv3JkyejoKBAfl28eNEv\\\n",
       "/SDnWRuVaty4sd1zcnJy7I4Uu8NoNHqlnS1btjisM3HiRK9cyxXObjS/adMmbkrvIoZBIlICBkIi\\\n",
       "cmjs2LH46aefsHXrVtSpU8du3eTkZFy9etWk7OrVq0hOTpaPl5fZqmONRqNBdHS0yYu8Q6fTydMd\\\n",
       "vfUcnK2pk/amVKpUKiQmJuKuu+6CJElOhRedTuewjjOjg6tWrbJYrVSv10Oj0SAsLAxlZWUO23D2\\\n",
       "WrYMHDgQx48fx759+9CjRw+Hbc2bN48Bz4c4QkhESsF9CInIJiEExo0bh++//x7btm1Dw4YNHZ7T\\\n",
       "pUsXZGRkYPz48XLZpk2b0KVLFwBAw4YNkZycjIyMDLRp0wYAUFhYiH379mH06NG+eBvkwOnTp+UQ\\\n",
       "lJeXh8TERI/au3Dhgs1RuTNnzlgt37t3r0W40Wg00Gq1VutrtVpoNBr5++LiYoSFhdnsk8FgQFBQ\\\n",
       "kMk1goODkZeXh8jISKvnqNVqt1a+NRgMLj1L2LlzZ4tRUfNFb27cuIEjR46gfv36SElJYQAhIiKv\\\n",
       "4QghEdk0ZswY/Oc//8HXX3+NqKgoZGVlISsry2SJ/WHDhmHy5Mny9y+++CLWr1+PDz74ACdOnMCM\\\n",
       "GTOwf/9+jB07FsCt37qPHz8es2fPxg8//IAjR45g2LBhSElJwYABAyr7LRKA1NRUZGZm4vLly06H\\\n",
       "wZiYGEiShIiICGRmZsrl77//vt39/WrXrm21/PHHH7coszf6VzEMAkB4eDh27dpls75KpZK3i6i4\\\n",
       "r6OtMOiJ8ms5Q6PRODVFNioqCnfddRdq167NMFhJOEJIRErBEUIisumTTz4BAPTo0cOk/Msvv8Tw\\\n",
       "4cMB3BoNqji17a677sLXX3+NKVOm4LXXXkOTJk2wevVqk4VoJk6ciKKiIowaNQr5+fno2rUr1q9f\\\n",
       "j9DQUJ+/J7LOlVUoK978FhcXO5xG7Ix3330XgwYNMikLCQmxWrdjx45Wy7t161ZlplCWT3mNiYmx\\\n",
       "uyIu996sulwJegyERBTIJFFV/vUkInJBYWEh5s6d69SN2PTp0yuhR8pw//33Y/369W6fb++fHPOf\\\n",
       "pa09/+z9zGvXru2V7S28KT4+HtevX7coDwkJcfrZRG+qDuFl8uTJNn9hUG7mzJkoKChw+XnjhIQE\\\n",
       "5OXloXfv3ggODnbqHJ1Oh/Xr1yM+Ph65ubkuXY+IyN84ZZSIiJzmSRgEbk3ttEUIgeeeew49evSQ\\\n",
       "9w10VWZmJiRJwrZt2zzopXfl5eUhJibGopyjg1Ubp4wSkVJwyigRETklLy/P4zZKSkrsriBaPk3Z\\\n",
       "UxX3DNTpdAgK8u8/d/n5+Th79iwaN24MlUqFmzdvMkRUcZwySkRKwRFCIiJySkJCgtfaSkpKcvvc\\\n",
       "qVOnulTf2Wl/vtawYUMYDAbodDqLRXGsMRqNUKvVkCQJvXr1qoQeUkUcISQipWAgJCIih65du1Zl\\\n",
       "2ps1axYaNWrkxd44ZjAYUFRUVKnXVKvV8mqlmzZtQnx8fKVen4iIlIGBkIiIHPJkRM+aGTNmeHT+\\\n",
       "X3/9hbKyskoZmQkODkZQUBAiIyMhSZLTW0p44ubNmxZl169fx5EjR6zW1+v1vu6S4nCEkIiUgoGQ\\\n",
       "iIgc8uaC1CNGjMC0adM8bickJARGoxE7duywW8+TkbUTJ05YhC1nNp33NDTamlLaunVrvPfeewBu\\\n",
       "hcCEhARIkoTg4GBIkoSsrCyPrkv/w0BIRErBQEhERA5V3GvSkdDQUGi1WpMN4AsKCmAwGCCEwBdf\\\n",
       "fOHVvpXvP/jf//7X4phKpfJoG4CnnnrKavmhQ4eslnfs2BGSJEGtVrv0mZmz99zjxIkT5RBovtBP\\\n",
       "7dq13b4mmWIgJCKlYCAkIiKHnJ2SWFBQgJKSEpNAExwcjOjoaI8CkjNatWoFIQRKS0uxefNmlJWV\\\n",
       "wWAweNTmokWLrJbfeeedFmUJCQn47bff5O+FEHjzzTdttl2+YIytxXrcGWV0ZvSSnMNASERKwUBI\\\n",
       "REQOlW8V0b59e6vHk5KSIIRweRNwX9BoNOjZs6fDjcud0aZNG5vHJElCXl4eCgoKoFKprG7LYWtF\\\n",
       "1IrPIubl5VkNcpIkubxxfXFxsUv1yTYGQiJSCgZCIiJy2m+//SZPBTUajfLX1fnZtb///e82jyUk\\\n",
       "JCA2NtbmM5bOPntpazQwJCTEZNTRnps3bzq132L5zyyQXxqNhgGNiMhLGAiJiMgtSrnpXrZsmdvn\\\n",
       "emOUsn379nanggYHB0MIgYiICI+vRf/DEUIiUgoGQiIi8gtvrlzqa8OGDXPrPGvbRwDAHXfcYfK9\\\n",
       "o2f/bD3DuW/fPmi1Wrf6RvYxEBKRUjAQEhFRpcnMzJRvoFUqlfzfvXv3+rtrAIBr166Z3OSXPxc4\\\n",
       "adIkl9u6cuWKzdVCDx8+jOzsbCQnJ2PhwoVOLdqj1+vlKaGpqakQQqBjx44u94ucw0BIRErh+GED\\\n",
       "IiIiLzh27BhatGhhUS6EQJcuXSzKJUlCw4YN8ccffyA0NNTn/Ttx4gSaNWtmUpaQkICvvvrK6qqi\\\n",
       "1kiShJKSEpv7CFaUmJiIK1euON0/tVoNnU7ndH3yjCtBj4GQiAIZRwiJiMgt5YvKOEMIYTUMOjrn\\\n",
       "zJkzCAsLgyRJCA0NxWuvvYbRo0cjPDwcKpUKwcHBKCoqsttO+fYOkiTZ3QPRPAyWW7x4MRo1auTw\\\n",
       "ecDU1FQYjUanwiBVfRwhJCKlYCAkIiKXHD161GTz9bS0NIfneGMPwrKyMsyZMweLFy9GSUkJhBDQ\\\n",
       "6/WIjIzE+PHjbV634gqeI0eORGJiokW9/v3727zujh07EBYWZnVbiXJqtRrHjx93/s0QERFVEQyE\\\n",
       "RETklPIg2KpVK5PyjIwMu+f5ekN6AJg/f77FKE3Hjh2tjmDm5ORApVLJm9YvXLgQP/zwg9V2jx07\\\n",
       "Jj+3FxERgdjYWKv1HD0D2KpVKzlEHzx40NHboSqAI4REpBQMhEREZKG4uBhRUVEmN7zmQdAZ//rX\\\n",
       "vyp1NVGVSoVPPvkE4eHhdvfvE0IgKCgIkiRh3LhxVuu0bt3aYhrp9evXLerZ2kOw3KBBg3D06FG5\\\n",
       "brt27SBJEvLz8x28G/I3X4XBjz76yGo7J06c8MG7ICKyj4vKEBEpRHZ2NgwGA5KTk+3exKpUKq+F\\\n",
       "uFGjRnmlHWcJIfD888971EbNmjVx9epVu9e4ceMGhBCIjo522N63335rtTwuLg6FhYWIiopyu6+u\\\n",
       "On36NBo1alRp1wtkvlxU5oUXXrBa3qxZs4DajoWIqgeOEBIRVXM///wzJElCUlISUlJS5O0ePvro\\\n",
       "I/nm02g0ol69epAkSdE3pDNmzLAbBstFRUU5FQYd8UYbzjAajZAkCY0bN66U61UHlTFlVAghv4iI\\\n",
       "/IWBkIiomnvggQeslr/wwgtyOFSr1bh48aJb7dtbVfPIkSNutekv06dP93cXfMLRxvdkyZ1AmJeX\\\n",
       "h4SEBPmVnp7u8BoV/0tE5A8MhEREVdibb76Ja9euuX3+zZs3vdgb62rUqGHzWMuWLXH9+nWTQOLM\\\n",
       "ze/ixYshhIDRaKyUPQgB4J133vFJu9u3b/dJuwCwfv163HbbbSgrK7NZx9EzjmSduyOEeXl58mvj\\\n",
       "xo1W2/7+++9NrlOOI4VE5A8MhEREVdiUKVNQs2ZNt0cQIiMjvdwjS44WR4mNjYVer5enxpXvX2gw\\\n",
       "GBAWFmZSNzo6GkIIPPvsswD+t9F7cHCw1bZfeeUVud3i4mKHfS1fMdSaiRMnOjzfHffcc4/N5/Yc\\\n",
       "7aFoT0FBAe6//36cPXsWoaGh+OSTT6zWc7QCKnlXfHy8/OrVq5fVOg899JDVco4UEpE/MBASEQWI\\\n",
       "mJgYt85zd9ShPLiVv2xNf3M31KhUKhQXF5tco6CgwGpdrVZrMoIXGRkJIQTeffdduSwsLMzmey1v\\\n",
       "X6fTyV/r9Xrs3LlTDqu2rFmzxmI0qLS01KX3+tdff8nX1Wq18tfh4eEutVPRU089ZfL9888/j6Sk\\\n",
       "JIt6ISEhbl9DydwZIYyPj0dubq782rBhg91r8BlCIqoKGAiJiAKEJ1MPXbnh1Gg0EEJYjFasX7/e\\\n",
       "7et7w8SJE+Wb5xs3btisV1JSIn9tb5EctVqNrl27Ony+bsCAARZlYWFhbj8faWu001Xvv/++RVl2\\\n",
       "drbVuufOnfPKNZWE+xASkVIwEBIRBYBXX30Vbdq08aiN8ePHy1/v2rXLZHSi4sve6JcnUxwrS2ho\\\n",
       "qMn0VE9Y23ewXOvWrT1q21MNGza0Wm5tldT69eujtLQUKhX/2XdWZQRCBkoiqgr4LwMRURVWHmzm\\\n",
       "zJnjcVufffaZ/PXdd9/tVhvh4eEW++bde++9HvWrKnO0oM3+/fsrqSfO+/DDD62WazQaGAyGSu5N\\\n",
       "4PJlILQ2tRcAHn30UW90nYjIJdyYnohIAQoKCkxWHDUajW6PFhUWFiIsLEweccrIyPBWN6sc80Vv\\\n",
       "zG3cuBHt27evpN5YUqlUFqOge/fu9VNvqhdfbkyflZXlTpeIiHyCI4RERArQtGlTk+8rLnvvjry8\\\n",
       "PDRs2BAXLlzwqJ1AYG9lUn+PjlpbMMbeNFciIiJzHCEkIlIA88VGHnnkEY9WNgwLC8OZM2c87VZA\\\n",
       "0Ol0NkeAOnfuXMm9MWXtGUkuIOMdvhwhJCKqSjhCSEQUoE6dOmXyDNPRo0ddOp9L3TvP2hYRhw4d\\\n",
       "8lNv/ker1VqU2VuBlZzHVUaJSCkYCImIAlBhYaHFNNBWrVq5FArdCYRCCPTp0weNGjWq9AVK8vLy\\\n",
       "MHv2bIwfPx6XL1+u1GsDt1ZYrbiPoKervnoqMTHRajmDvncwEBKRUjAQEhEFoLi4OKvlrVq1slp+\\\n",
       "7do1izJXF5VJT0+HSqXCunXrcObMGbvP1nnTjBkzIEkSEhISMHXqVMyfPx+1a9f2eDGXkpISkxv6\\\n",
       "EydOOHWet/YR9IRarUZOTo7N43yO0HMMhESkFAyEREQByNVRoBo1aqCwsFC+cXX1/NzcXGzcuNGi\\\n",
       "/JlnnnGpHVcZDAbMnDnT6rG8vDyP2jWfAtqsWTOPRtduu+02SJKE4OBgn47SSZLkcH/F+Ph4n11f\\\n",
       "KRgIiUgpGAiJiALQ4cOHrZbXqlXL5jlRUVEwGo1uhZW6detaLf/iiy9cbssVFy9etHnMk0VtbI1u\\\n",
       "9urVy632goODcfbsWQCAXq+3OfpaUlKC4OBgi70cnbV7926n61bWCC4REQU2BkIioiosJiYGrVu3\\\n",
       "RnFxsUl569atcePGDZORidq1a/vs2Tq1Wm213N29DJ3VoEEDq+WlpaUOz3Un+O7Zs8flc4BbIdCc\\\n",
       "+Wej0+kQHh4OvV6PmzdvujWqdM899zhd12AwcOTKAxwhJCKlYCAkIqrCCgsLceTIEURERCA5Odnk\\\n",
       "WGRkpDziJ4TApUuXfNYPWxtpu7qyqTuMRiPi4uIgSRLatm0LIQQ0Go3N+n379oUkSVCpVFb36bMX\\\n",
       "FBs1auSVPpdfJy4uDgaDARcuXLDaF7VajcLCQuh0Ovz888/o27ev3WcD3VnIxzysuBp0quKrrKxM\\\n",
       "/nNv6+UpBkIiUgrOJyEiChBXr17127UjIiJw55134uDBg3JZVFQUbr/9dp9fW5Ikp58XzM/Px08/\\\n",
       "/SR/r9Pp8Pvvv+OOO+4wac+WnTt3utVHtVptNazl5+fbnbppNBoRExNjUpaYmIjg4GCLLSX69evn\\\n",
       "Vt+AWz8rbkfhGleCHgMhEQUyBkKiAHf27Fns3LkT58+fR3FxMRITE9G2bVt06dIFoaGh/u4eVSMH\\\n",
       "DhyAEAKnT5/Gbbfd5vPpou6oUaOGRVnnzp1RUlLi1PnR0dFuXVev13s1FOh0OjRq1AinT58GcGvL\\\n",
       "ix9//NHt9m7evAmj0Vglf2ZVGYMeESkBAyFRgFq2bBnmz5+P/fv3IykpCSkpKQgLC0NeXh5Onz6N\\\n",
       "0NBQPPHEE5g0aRLq16/v7+6SF9jad64ySZKExo0b+7sbNllbfVOn0zl17p9//unRtYUQUKlUXlth\\\n",
       "9MyZM2jdujWys7Ntjg7Hx8dDCOHUNhNqtRrr1q3zSt+UgCOERKQU/FUhUQBq27YtFixYgOHDh+P8\\\n",
       "+fO4cuUKDhw4gF27duHYsWMoLCzEmjVrYDQa0b59e6xcudLfXSYPxcTEIDs72+N2dDodNBoNYmJi\\\n",
       "quUG5s2aNbMoc/ZmvUmTJh5ff+7cuR63UVGnTp2s7iEJAFqtFrm5ucjLy0PPnj2dau+BBx7wZveI\\\n",
       "iKga4AghUQB6++23kZ6ebvO4RqNBjx490KNHD7z55ps4d+5c5XWOvMpoNHpt9KGoqAiRkZEAboUJ\\\n",
       "lUqF33//Ha1bt/ZK+1XBnj17LJ7JM18BdMmSJT67/tSpU73WVm5uLuLj43HkyBHs27fP5Fj79u0R\\\n",
       "HBwsf//DDz8gIiLCa9cmjhASkXJwhJAoANkLg+YSEhLQrl07H/aGfMmbN5qtWrWyKGvTpo3X2q8K\\\n",
       "ygOvPc8884xFma3PubS0FAMGDEBmZqbDdsvKynDz5k3HnXSCSqWSN5e3Nur4888/m3zPQOJ9XGWU\\\n",
       "iJSCI4RE1UR2djays7MtnqGqTqM/5JnyjdMrEkKgtLS02ixAZOvG/O6778aOHTvQq1cvq3sGxsbG\\\n",
       "Wj0vLCwMALBmzRoAt0YbK+7JqNPp0KBBA6/v/1hxxdK77rrL4rj54jlbtmxx2GZ5cLH2nCVZ4ggh\\\n",
       "ESkFAyFRgDtw4ACefPJJHD9+XH4mTJIkCCEgSZJb+5ZR9RQaGmp1Q3d/rzwZFhYm9yskJARlZWUW\\\n",
       "dS5duoQmTZrAYDDg3//+Nx5//HGrbeXn51st3717t93tH7788kuLMmv7AZa3Uf53zBceeeQRl895\\\n",
       "+eWXrZZ3794d27ZtMyljeHEOAyERKQWnjBIFuKeeegpNmzbF7t27cebMGZw9e9bkv0TlSkpKLG5c\\\n",
       "+/TpY3XD9Mpy2223mYRUrVYLSZLw6quvQq/X49y5c5AkCXXr1kVpaSl0Oh0GDx4MSZIwefJki/bc\\\n",
       "XYm1f//+FmXWppaW81UYlCTJ4SJQ1kYMrUlNTbUIg+Q8ThklIqVgICQKcGfOnMG7776LTp06oUGD\\\n",
       "Bqhfv77Ji6gio9EIIQQMBgOEECabuPujL9amsQLAO++8g+DgYDRs2NDm+W+//TYkSUJ8fDxiY2Oh\\\n",
       "UqncGhFv0aKF1fJRo0a53JazmjVrhtq1a5uUNW3a1OZ0zq1bt8pf//LLLxbHd+3aZVF2/Phxq20J\\\n",
       "IQL+pdFofB7QGAiJSCkYCIkCXM+ePfH777/7uxsUYOxNEy0qKkLNmjUxe/Zsh+3MmjULsbGxiIuL\\\n",
       "w4MPPojz5887PXpmbwqnK65fv46CggKH1z148CCys7Nx5513yjfxn3/+OY4ePWq1/v333++V/pnL\\\n",
       "z8/HsWPHcOnSJZOQc/LkSZvn9OjRQ65nTY0aNeRfAPlyOisREVU/fIaQKMB99tlnePLJJ3H06FG0\\\n",
       "bNnSZCl6AOjXr5+fekaBSK/Xyyt1Tp06FTNmzLC6CEt+fj7i4uJMytauXYu1a9fabLtRo0b47rvv\\\n",
       "cODAATz99NPe7bgDFQPSgQMHnD5PpVJ5fREW820xvIXby3gXnyEkIqVgICQKcHv27MEvv/xisQw9\\\n",
       "AC4qQy4z/4WCwWCAWq02+XO0b98+dO7c2eW2T58+jbZt23rcR1csXboUQ4YMcft8g8EAvV5v8bmY\\\n",
       "S0lJMdmaombNmjY3lKfAwEBIRErBKaNEAW7cuHEYMmQIrly5AqPRaPJiGKSK5s+fj4iICMyYMcOl\\\n",
       "84xGI27cuCF/704Y9IepU6d6FAbLBQUFWV35tJxKpbLYpzA7O9vj65J/8RlCIlIKBkKiAJebm4uX\\\n",
       "XnoJSUlJ/u4KVWEREREYP348iouLMXPmTGzatMml87t16wbg1iqggeC2227DrFmzvNZeSEgIxo0b\\\n",
       "Z/WYrV+8LF++3KKMU7gDBwMhESkFAyFRgHv44YdNViAkMieEQHFxsUlZr169XGqjPBD6c4sKZwUF\\\n",
       "BeH06dMunWM0GvHXX3/h559/xv79+5Gfn2/x7OB7771nsiG8Wq22u3jLoEGDLOqXb3DvD0IIbkrv\\\n",
       "AgZCIlIKPkNIFOCaNm2KyZMnY9euXWjVqpXFs04vvPCCn3pG3iBJElQqFfr27Yvvv//erRvPQ4cO\\\n",
       "WS3Pzc1FQkKCSVlwcDB0Op1F3QULFshfp6am4sSJEy73w9uCgoIQFRWF/Px8OZg98MADdhe2sSYp\\\n",
       "KcnuFM+QkBC89dZbeOaZZ3DlyhWoVCq7q7RWVBWeIzx27JjJ1hpcgZSIiCpiICQKcJ999hkiIyOx\\\n",
       "fft2bN++3eSYJEkMhNWA0WjEmjVr5BBy/PhxpKamOn3+woULrZbXrVvXYuQwNDTUIhCaj4D88ccf\\\n",
       "UKvVTl/fV0pKSjzeumLcuHEOn/fTarX4xz/+gXXr1iEjI8Oj6/mDrX0WyT4uKkNESsEpo0QB7uzZ\\\n",
       "szZfZ86c8co1Pv74YzRo0AChoaHo1KkTfv31V7v1V65cidTUVISGhqJVq1ZYt26dyXEhBKZNm4Za\\\n",
       "tWohLCwMaWlpOHXqlFt9c7SBdVlZmctTv6rSy5pmzZpBkiS88cYbTn1G+/fvt1peUlJiUVZx8Zhy\\\n",
       "EyZMMPne2dExX/PGPoa2wrI127Zt8/h6FDiqw5TR1atXV9m+EVHVUTX+VScir7ty5Qreffddj9tZ\\\n",
       "sWIFJkyYgOnTp+PgwYO44447kJ6ebnNUZffu3Rg8eDBGjhyJQ4cOYcCAARgwYIDJ5t/vvvsuFixY\\\n",
       "gMWLF2Pfvn2IiIhAeno6SktLPe6vkkybNg2SJEGj0Vid5lnu+PHjNo9JkoSSkhIIIWyOJJU/P1iZ\\\n",
       "PvzwQ/mZN1s3tJ5OWy0qKnKpPm+slaU6BMIBAwb4uwtEFAAkwYcJiALaU089ZbX8/Pnz+PXXX62O\\\n",
       "+LiiU6dO6NChgzySYjQaUbduXYwbNw6vvvqqRf1BgwahqKgIP/30k1zWuXNntGnTBosXL4YQAikp\\\n",
       "KXj55Zfxj3/8AwBQUFCApKQkLFmyBI8//rhT/SosLMTcuXMd1tNqtZgzZ45TbQa6oKAgi2AohPB4\\\n",
       "RC8hIQE5OTkmZVFRUbh586bLbdWsWdOpLRnM/2mydcPt6J+wmzdvIjY2FgaDAUFBQdi6dSu6du0K\\\n",
       "4NbNsiuLvGRmZiIlJcXp+lXF7NmzMXXqVPn76vDP/syZMx3WmTFjBgoKChAdHe1S2wkJCcjLy8Ok\\\n",
       "SZOg0WicOqesrAzvvPMO4uPjkZub69L1fK387051+LkTkW9whJAowF2/ft3klZOTg19//RXbtm3D\\\n",
       "+++/71HbWq0WBw4cQFpamlymUqmQlpaGPXv2WD1nz549JvUBID09Xa5/9uxZZGVlmdSJiYlBp06d\\\n",
       "bLZJztHr9ZAkCXXq1MHVq1dNnjv0hLUbXFujjkFBQTbDm0qlwg8//ID77rvP7vWaN29uUWZreqy9\\\n",
       "bTAuXLiAqKgoeVsIvV6Pbt26ITQ0FE2aNHEpDF6+fDkgwyAATJkyxd9dCEjVYYSwokDrLxFVHgZC\\\n",
       "ogD3/fffm7x++OEHHD16FLNmzcLq1as9ajsnJwcGg8Fij8OkpCRkZWVZPScrK8tu/fL/utImcOs3\\\n",
       "8IWFhSYvsi4zMxPJyclenS5mPrpQp04dk+8lScLPP/+M4uJiq/vvlbv99tvx73//2+6iNNZWCX3l\\\n",
       "lVes1jV/vtH8WtaUlZXhr7/+snmeuSZNmqBWrVpO16+KYmNj/d0F8pPy56nN/84SEZVjICSqpgYP\\\n",
       "HlytFsGYM2cOYmJi5FfdunX93SVFsTZ1rvwZv/L/9u7dG8HBwXjssccQGhpqtZ3Y2FgkJydDr9dj\\\n",
       "x44dFsfj4uLQoEEDp64P3FrwyBZvPZP6559/unyOEAJ6vb7KTNO7fv26xS9hyLFAHB201aePPvrI\\\n",
       "ZMEtIqJyDIRE1dTvv/+Otm3betRGjRo1oFarcfXqVZPyq1evIjk52eo5ycnJduuX/9eVNgFg8uTJ\\\n",
       "KCgokF8XL150+f2Q+3Q6ndWbSFs3w9ZGAM1Hqbp16ybfnBoMBgghkJeXZ7MPtqa/Whs9bNWqlc12\\\n",
       "fGXgwIHyzbhKpUJwcDBUKhUkSbI7+l1ZsrKyGARcUB2mjFbs10MPPVRl+0lE/sV9CIkCnLUpc+XP\\\n",
       "j/Xp08fkuDOLsFQUEhKCdu3aISMjQ55+aDQakZGRgbFjx1o9p0uXLsjIyMD48ePlsk2bNqFLly4A\\\n",
       "gIYNGyI5ORkZGRlo06YNgFsLxOzbtw+jR4+22ReNRuP0Ag/kGzExMU5P1bW2gucnn3xis74zzzrW\\\n",
       "qVMHFy5csCh///338fLLL8u/UCgpKTFZ1dZTDz/8MFatWmW3jkqlshu2atWqhQ8++MDuFFeqWlwJ\\\n",
       "elU5aEmSxF8EEJFdDIREAe7QoUNWyzt06IDs7Gx5RUd3b1gmTJiAJ598Eu3bt0fHjh0xb948FBUV\\\n",
       "YcSIEQCAYcOGoXbt2vJKni+++CK6d++ODz74AH369MHy5cuxf/9+fPrpp3I/xo8fj9mzZ6NJkyZo\\\n",
       "2LAhpk6dipSUFC6RXsU5u2KtrRUg+/fv79H1a9asaTUQApCf8fPFze/333+PsrIym7+Q6Nixo1PX\\\n",
       "fPnll1FUVGSy4idVXYEeCPncKBE5i4GQKMBt3brVp+0PGjQI165dw7Rp05CVlYU2bdpg/fr18vNI\\\n",
       "Fy5cMBndueuuu/D1119jypQpeO2119CkSROsXr0aLVu2lOtMnDgRRUVFGDVqFPLz89G1a1esX7/e\\\n",
       "5nNn9ji6EdNoNAH92/GqdqMZHR1td5Tw/vvvx/r1660eCw4O9ujaR44ccVjHVz/r0NBQm23/9ttv\\\n",
       "Trczbdo0aLVam6umUtUR6IGwoKDA310gogDBQEhEDo0dO9bmFFFrC9c8+uijePTRR222J0kSZs2a\\\n",
       "hVmzZnmri9WWEAIXL15EvXr1/N0VALdGCYODg7FmzRrk5eVh4sSJuHr1KoxGo8Nzi4qKEBUV5dZ1\\\n",
       "dTodysrK3DrXW5YuXYqhQ4ealLkTQGfPno3Y2Fi8/PLL3uoa+UCgBkIhhNyfkJAQaLXaKtU/Iqp6\\\n",
       "uKgMUQDq3bs39u7d67DejRs38M4779hdiZGqvrp161apUU69Xo8+ffpg6NChuHLlilNhEIBTWzc0\\\n",
       "atTIZKGOxo0bo0ePHggJCfG02x4bNmyYRdnNmzfdausf//gHlixZ4mGPiKwrX6yprKwMkydPlssX\\\n",
       "LFjgx14RUVXFEUKiAPToo49i4MCBiImJQd++fdG+fXukpKQgNDQU169fx7Fjx7Br1y6sW7cOffr0\\\n",
       "wXvvvefvLpMXNGnSBKdOnfJ3N9xWVFSEzMxM1K5d2+pxtVptES5Pnz6N06dPV0b3nNK7d2+TKbHl\\\n",
       "m967Y8SIEUhPTw/4PQ6rq0AdITT31ltv4a233vJ3N4ioCmMgJApAI0eOxJAhQ7By5UqsWLECn376\\\n",
       "qfy8iCRJaN68OdLT0/Hbb7+hWbNmfu4tecvx48cRFBTY/9uuU6cOSkpKLJ4XHTZsmNMjjf60YcMG\\\n",
       "k+/dnQJbLiUlpUqN/tL/VJdASETkSGDfWRApmEajwZAhQzBkyBAAtxYQKCkpQUJCgseLd1DVZG1v\\\n",
       "v0AUFhaG/fv3o127dgBuTW1eunSpn3vlvJSUFFy+fBmAd34m+/fvR/v27T1uh7yLgZCIlILPEBJV\\\n",
       "EzExMUhOTmYYVKDyPfDKXxs2bJBvUFUqFZYsWQKDwQCdTofo6GiTcyMiIlBSUoKcnJxK7XP79u2h\\\n",
       "UqkQHh5u0Sd/CwoKwqVLl/Dtt99aPX7lyhV5Oxdr+y266p577vG4DfK+6rAxPRGRMzhCSERUhYWH\\\n",
       "hyMqKgp33nknsrOzre6zV74HZLlevXpZnX6pUqlw/fp1eVRr0aJFGD16NID/batQmTe2QgiUlJRU\\\n",
       "2vWckZeXh7i4OAC3ntW19ZmUb7viDd76DDIzM9GmTRs0btwYe/bs8UqbSubrEUJb53AKMRFVNo4Q\\\n",
       "EhFVYSUlJcjOzsb69etx8OBBqzeLkyZNQl5entPtlVu5cqXX+hlIioqKTEZUly9fjtatW+PGjRty\\\n",
       "GKzo0qVLPu+TXq93qX52djamTZuGnj17IiYmBpIkoU6dOsjJycHevXvRpk0b33SUvCIyMtLfXSAi\\\n",
       "kjEQEhFVAwkJCZAkCSdPnrRbr1WrVvLXW7duhU6nk78PlI2sH3jgAbz++utQqVz/J6yoqAjh4eEm\\\n",
       "ZYMGDcLvv/9u8ya9du3a0Gg0bvXVWREREU7V27RpEyRJQlJSEt544w1s2bIFhYWFFvX++9//2mzD\\\n",
       "1amQVfFVVlZmEuqtvTzlyymj5VONfdFvIiJXMRASEVUjqampuO+++2weP3v2rMn3ISEhUKvVCAoK\\\n",
       "QmxsrI9757kbN25g7dq1mD17NgwGA3Jzc52+Gb/99tstwqCzSktL3TrPWeWbh9eqVQtPPfUUfvvt\\\n",
       "N5NRw5s3b0KtVqNXr14+7Qf9T2U8Q8jnEImoKmAgJApwTz75JHbs2OHvblAVsnnzZnkVzIqslQGA\\\n",
       "0Wh0ez+90NBQ3LhxA8XFxUhNTXWrDWfNmjXLYhQvPj4eRqMRQggYjUbodDrodDro9XoUFBSgR48e\\\n",
       "CAoKQoMGDXDixAmPrj9t2jSPzndGVlYWvvzyS3Ts2BHBwcFyUIiKinJpWw6ONHnOnUCYl5eHhIQE\\\n",
       "+ZWenu7yNYmIKhsDIVGAKygoQFpaGpo0aYK33noLmZmZ/u4SVQG1a9fG+fPn5e+1Wq3NDeHdFRYW\\\n",
       "hpKSEkRGRiIsLAzHjx+HTqfD1KlT0aZNG9SsWdOlG9ygoCAcP34cRqMRer0ee/fuRZ06dRAfH4+T\\\n",
       "J09i6tSpds+XJAlBQUEICgqCWq1GdHS0PC3WfGTUHTNnzrR57OTJkybT/vLz8xEWFubxNb3N3eCv\\\n",
       "RO6OEObl5cmvjRs32r0Gp4oSUVXAQEgU4FavXo3MzEyMHj0aK1asQIMGDXD//ffju+++M3k+jJSn\\\n",
       "QYMG2Lp1K06fPu32VEl7zp07Z1EWFBSEWbNm4dChQ7h69SoKCgosNqG3Jj4+HlqtFqmpqZAkCWq1\\\n",
       "Gp06dcLFixeRk5ODpk2ber3/7rC2RUZ8fLxF/2JiYlBUVOTXER9rI4q//fabH3oSmNwNhPHx8fKL\\\n",
       "U3yJKBAwEBJVA4mJiZgwYQJ+//137Nu3D40bN8bQoUORkpKCl156CadOnfJ3F8lP7r33XjRu3Njt\\\n",
       "kaHw8HCrYfKXX35BzZo1HZ4fFRWFkpIS6PV6q5u4x8TEQAhh91nAqjSNrqCgwKQ/KpUKubm5VutK\\\n",
       "kgSj0YigIOs7PN17770wGAwwGAy44447vN7XqKgoizJnfmbkvvj4eOTm5sqvDRs2+LtLREQOMRAS\\\n",
       "VSNXrlzBpk2bsGnTJqjVajzwwAM4cuQImjdvjg8//NDf3aMAcurUKQghUFRUZLJNg8FggBACd911\\\n",
       "l0vtqdVq6PV6CCFw+fJl5OXlyVMrq5KKIz7jx4+3WsdoNCInJweXL192KmjrdDoEBweblGm1WmRk\\\n",
       "ZEClUkGlUuHw4cNeX7imuLjYYpbAbbfd5tVrVGeVvagMEZG/MBASBTidTof/+7//w4MPPoj69etj\\\n",
       "5cqVGD9+PC5fvoyvvvoKmzdvxrfffotZs2b5u6tUhSUmJuL06dNy8GvcuLHVeu5s9WCuVq1aVvf7\\\n",
       "86Xi4mKHe/2Zj4TOnz/fZt2EhATUqlXL6etrtVpotVoUFxdDCGEREAFAo9FACIE//vjD6XYd+eqr\\\n",
       "r7zWltL4MhDaemaQzxISkT9Yn8dCRAGjVq1aMBqNGDx4MH799VerG1L/7W9/C4gtBajyhYeHy3ui\\\n",
       "VVebN2+Wt+Ion8ZpTUlJiUWZJEleu0kPDg62GgTNNW/eXL6mEAJRUVFu/4yGDRvm1nl0iy9H7hj+\\\n",
       "iKiq4AghUYD78MMPcfnyZXz88cdWwyAAxMbGemWVRap+MjIy/N0Fnxs4cKD8tRACvXv3tlpvzpw5\\\n",
       "VsuPHTvmk345Q5IkeQ9Cd84NCQnxQa+UoTKmjBIRVQUMhEQBbujQoU6t4khkzaRJk/zdBZ8znwpq\\\n",
       "a6GPV1991eoCMLt27bIomzFjBu644w7k5eV5p5MOuBNKbY2EVtzqIFBfGo3G5wGNgZCIlIKBkIio\\\n",
       "CnvmmWd8Gvh37Njhs7Yrw8WLFzFy5Ei7i7ucOXPG6fZ0Oh2++eYb+fvIyEiMGjVK/t5oNEKSJMyc\\\n",
       "ORP//e9/kZCQAEmSfL7FS5MmTRzWKd+HcerUqZyO6AUMhESkFAyERERV2KeffoqSkhKboz3e4Oi5\\\n",
       "tho1asg3venp6Tbr3bx5Ew0aNEDt2rUxffp0bN68GZ07d7a4cVapVFixYgWMRiOMRiN++uknqNVq\\\n",
       "kzrOrD5aq1Yt1KtXD1988QWCgoJs3pSHhYW5NOXy8ccfl0eibty4YXLM1uhiSEgIunTp4vQ1XGXr\\\n",
       "vT377LNyX41GI3Q6HReQIiIil3BRGSKiAFC+uIkvRiL0ej3Onz+P+vXrWxxbtWqVyT57GzduxN13\\\n",
       "341ffvnFpF5KSgquXLkif28vlAgh8Pjjj+Pxxx+3WScuLg6FhYVW99Irl5WVZVG2d+9edO7c2aJc\\\n",
       "r9cjMjISRUVFdtt0pGvXrjaP7d27F5IkobS0FBqNxu1r2HLHHXfg999/l7+3tbcjeYcrI38cISSi\\\n",
       "QMYRQiKiAHLx4kWftNuoUSOr5Y8++qhF2e7du02+LyoqMgmD3hIdHe3yORs3brR57ObNmzAYDCgs\\\n",
       "LHS7T86EydDQUHkkVK1WQ61WQ6PRYOLEiW5fFwAOHz6MvLw8XL9+HUIIhkEf45RRIlIKBkIiogBS\\\n",
       "p04dn7Rr6xk8W1NVKwbA+Ph4n/TJHVOnTrV73Bv7KNqaNmqufBqn0WiEVqvFe++9B0mS8J///Mft\\\n",
       "a8fFxXELmUrCQEhESsFASERELjt16pT8tVar9dl17C3WMmjQIPlrjUaDS5cuVcqNea9evTw6f+TI\\\n",
       "kV7qiXOMRiMuXLiAbt26ObUPIt3CQEhESsFnCImIAsjXX3/t7y4AADp06OBUvfIVUktLS60eL7+R\\\n",
       "trUqprVtIMotX74c33zzjV9uxj3ZsN5X037LCSEQHR2Nmzdv+vQ61R2fISQipeAIIRFRABk2bFil\\\n",
       "Xcte4HFmK4zw8HAUFxejpKQE06dPtzg+aNAg6HQ66PV6m1M9Hd1o++tG3N0wOGnSJNSsWdPLvTEV\\\n",
       "ERHBMEhERE5jICQiChB169a1u9+ep4YPH27yvb3phRWDmK1QVlRUJB+bMWOGxebiy5cvh1qthkql\\\n",
       "wqxZsyCEgMFgwI8//oi//vrLaugK5P31Tp48ibffftun15AkCSUlJT69hlJwyigRKQUDIRFRFZac\\\n",
       "nIzg4GBIkoRLly759FpfffUVgoKC0KhRI0iS5HT4tBbSevfu7VYfVCoVHnzwQYtVT5s1ayav3ClJ\\\n",
       "EqZMmeJW+7YcP34cKpUKwcHBKC4utlvX3dU9mzZt6tZ5Qgin9mVkKPEuBkIiUgoGQiKiKuzq1avQ\\\n",
       "6/WVdj2DwYAzZ87YrRMREeGwna+++spbXUJZWRlOnDhhUvbmm296rX2dTofmzZtDCAG9Xo+IiAh8\\\n",
       "+umnVuuOGTPG5sqrvrB582aoVCrExcVBkiSbPxsGEu9jICQipWAgJCIKMP6+AXVmtMqbW1FkZGRY\\\n",
       "LfdWULa2jcOzzz5rte6iRYvcvo6r012NRiPuu+8+k7JGjRohNTVV/t5gMDCM+AgDIREpBQMhEVEA\\\n",
       "adGihby33YABAyr9+jVq1LC78mc5Z+o4Kzw83Gq5M1NanQlhtqaIuhLgVq1ahXPnzkGj0dis4+oe\\\n",
       "iLampp48eVIOId78nMkUAyERKQUDIRFRADl69Kj89apVq5w+b+fOnXKQLCoqQlRUlFvXv3btmsM6\\\n",
       "3r45vuuuu6yWh4SE2DxHCCE/c+juZvTW3seNGzfkr9VqNXQ6HYQQeOihh1C/fn2UlpaiSZMmLrVp\\\n",
       "rri4mAGDiIgqDQMhEVEAuXDhgvy1Mxucl6/o2bVrV3kkIzw8HIWFhfIzc86yNWKm1+vlALNq1Sqv\\\n",
       "P2NnK/jZC00VQ6AQwmYbbdu2tVqu0+mslkdGRsqfqV6vtzpC9+eff9rsF+B45MmZZzTJ9zhCSERK\\\n",
       "wUBIRBRA6tevj+eeew5t27bFl19+abfu9u3bHbanVqtx/fp1j/qkVqthNBrlkTJzc+fOhSRJCAsL\\\n",
       "8+g65mwFVGvbZdgKeIcPH7YoCw8P92gq5pEjR9w+11VRUVHIysqCXq9HcXExFi5c6PYqqGSKgZCI\\\n",
       "lIKBkIgowPzzn/+0GmTM3XPPPU61Fxsbi7S0NA97ZZ1Op8PLL78MACgtLfXqjbO15/XmzZtnc9Rz\\\n",
       "4MCBJt/b2z/RXaWlpWjdurXb57tCr9ejsLAQSUlJUKvVCAsLw5gxY6DX6yt1JdTqioGQiJSCT6MT\\\n",
       "ERE2bdqEsLAwlJaW2qwTHh7ucI8+c6+99ppFWUREhEuhy9Y1dTodJElC69atkZWVhWvXrtldCGbV\\\n",
       "qlVQq9Xys3/WuPu8IXBraqutdr3tjz/+sDsSKEkStFqt3ecsyT5Xgh4DIREFMo4QEhERAKCkpMTu\\\n",
       "jW1JSQmCgoKc3rAeAMaOHWtR5mqodPRM3X//+19kZ2c7tSqo0Wi0G9rGjx/vUt8AoFmzZpAkqdLC\\\n",
       "IAA0b97cYR1rU2fJNRwdJCIlYCAkIiLZ6dOn7R43GAwICgoyuRlOTEy0Wb9+/foWZa6Mwr333ntO\\\n",
       "1/UGa+9fCIFjx47hzJkzJqEzJycHkiThxIkTldlFPiNIRERexSmjRETVlK1VMO35+eefXb5OTk4O\\\n",
       "ioqKbI7kCSGgUqnkMOXKyqYTJ050uT+eWLNmDcrKyuTnE6vi6I+jVUzJOzhllIiUgiOERETV1Dvv\\\n",
       "vON03ZycHERHR2PMmDFuXctR8CxfhbR8f0Bn2Nvk3ZdCQ0Or7FTAyMhI3HbbbU7VXbx4sY97U71x\\\n",
       "URkiUgoGQiKiamr69OkO6/z000/ytM+Km667Qq1W+yS8abVal+qrVCr89ddf6Natm9f7UhVERUW5\\\n",
       "9DN6/vnnfdib6o+BkIiUgoGQiKiacrT4i9FoRN++fT26Rp8+fVyaAuosV8NpTEwM9Ho9GjVqhB07\\\n",
       "duDvf/+71XoqlQpz5871eMGV77//HgaDAUIIGI1GeauH8lFQIQT27dvn0TXMWVux1R5nFtkh2xgI\\\n",
       "iUgpGAiJiKqxjz/+2OaxBx980O1227VrByEEfvrpJ7fbsGfBggUu1V+7dq3JTfmyZcssbtK7dOkC\\\n",
       "g8GAl156yeXRR+DWSGhZWRmEEBgwYIC8OI4kSVCr1RbX69ixo1ef93vttdecXsk0KirKa9dVKgZC\\\n",
       "IlIKBkIiomps7NixKCkpsXps69atbrW5c+dO7N+/35NuOVT+/KNarcaJEydgNBrtrua5fft2izKj\\\n",
       "0YjQ0FAAwFdffYXdu3ebHE9JSXHYj/JpqEII6PV6l/f1a9KkiUv17RFCICQkxOHG94mJibh586bX\\\n",
       "rqtUDIREpBQMhERE1Vx4eDjuu+8+i3J7m9DbIkkSunbtavN4WVkZHnjgAYSGhkKlUtm9gW7SpInJ\\\n",
       "BvVCCDzxxBOQJAk3btxASEgI9Ho9br/9dkiShNtvvx1ffPGF1etOmTLF6qhfSUkJhBAYNmyYxbHw\\\n",
       "8HC773XOnDkwGAxo1KiR3XqOfPfddx6db+7IkSPyZxgUFISQkBCTzzonJ8fu+a4Gnar4Kh+ptfci\\\n",
       "IiLncNsJIiIF2Lx5MyRJQr9+/bBq1So0bdrUrXYWLlxotfyPP/5Ay5YtXWrrr7/+QmRkpM3j1p6B\\\n",
       "7NOnj9W6QghoNBqXgsCZM2eslickJDgMVa4YOHCg19oyZzAYHD4rSu5xZeSPI4REFMgYCImIFOSH\\\n",
       "H35weW/CikaPHm1RFhQU5JNQYq3Nxo0b2z1HpVLBYDA4vEF/++23YTQaTcq+/PJLDB8+3OV+OsNg\\\n",
       "MHBD+QDDQEhESsFASEREFlQqFdq3bw+9Xo9Lly6hU6dOWL16tcWNr69vhIODg6HVaiFJEvr37+9w\\\n",
       "9VEhhLzYS0WSJCEsLAw6nc5iYZYmTZr4fLN3lUrl0h6M5H8MhESkFAyERERk4dSpUw43QA8LC/N5\\\n",
       "P/R6vdWA5yohBIqLi60e83UYNO8Hw0NgYCAkIqXgojJERGShXr16Duu4sygNwemtI5w1evRok8VU\\\n",
       "KjPgVmdcZZSIlIKBkIiILGRmZvq7CwHrr7/+MgkK5s8qevIMp7mbN29i0aJFJmVNmjSBEAIXLlzw\\\n",
       "2nWIiKj6YiAkIiILLVq08HcXKo2rews6Yr73oK8Wk8nKykJERITN43Xr1oUQAqWlpRgyZAji4uIq\\\n",
       "ZZpvdcERQiJSCj5DSEREFiruD1jd6XQ6SJKEZ599FvHx8Xj33XflFU51Op1XRvQkSYLBYIBKpcK2\\\n",
       "bds8akulUkGv1zsdQjQaDZYuXWrSF3KMzxASkVIwEBIRkVVqtdrmdhIbNmyo5N743j//+U+LsuDg\\\n",
       "YJc3OU9ISEBubq5FuacjhZIkeW2RHXKMgZCIlIL/qhARkVVGoxGSJFksHjNixAj07t3bpEylUuHi\\\n",
       "xYswGo3Q6/XYuHEjYmNjFXmj7M1N7ctpNBoYjUavrbga6C+NRuPzKZycMkpESsFASERW6XQ6TJo0\\\n",
       "Ca1atUJERARSUlIwbNgwXL582eG5H3/8MRo0aIDQ0FB06tQJv/76q8nx0tJSjBkzBgkJCYiMjMTA\\\n",
       "gQNx9epVX72VgNamTRtERUX5tQ9hYWEmN75LliyxqKPX61GnTh1IkgS1Wo377rsP169fh9FotLiZ\\\n",
       "NxqNWLBgQeW/ETedOHHC5XPS09O92oeSkhKvtkeOMRASkVIwEBKRVcXFxTh48CCmTp2KgwcPYtWq\\\n",
       "VTh58iT69etn97wVK1ZgwoQJmD59Og4ePIg77rgD6enpyM7Oluu89NJL+PHHH7Fy5Ups374dly9f\\\n",
       "xsMPP+zrtxSQDh06hMLCQgghrE5DrApUKpVLN8SSJGHcuHEBsydfz549XT5n/fr1Xu2Dq9NWKzIY\\\n",
       "DHjzzTcxf/58nD9/3ou9IiKi6oCBkIisiomJwaZNm/DYY4/h9ttvR+fOnbFw4UIcOHDA7nL2c+fO\\\n",
       "xTPPPIMRI0agefPmWLx4McLDw/HFF18AAAoKCvD5559j7ty5uPfee9GuXTt8+eWX2L17N/bu3VtZ\\\n",
       "by8gxcfHO7U/YGXzJKx89dVXXuyJb1SF0euVK1e6fW5YWBimTJmC8ePHo0GDBt7rVDXHEUIiUgoG\\\n",
       "QiJyWkFBASRJQmxsrNXjWq0WBw4cQFpamlymUqmQlpaGPXv2AAAOHDgAnU5nUic1NRX16tWT65Bt\\\n",
       "58+fr3I3n54EwqFDh3qxJ75ha2GdyvT4448jKCgIa9eudem8iIgI6HQ6H/WqemMgJCKlYCAkIqeU\\\n",
       "lpZi0qRJGDx4MKKjo63WycnJgcFgQFJSkkl5UlISsrKyANzaOy0kJMQiVFasY01ZWRkKCwtNXkpl\\\n",
       "vtF5VeDJYiczZsywWv73v/9dfu4wODjY4ri1xUZ8dWPepUsXl+r7oh8GgwEPPvigHECKi4sdnuNM\\\n",
       "HbKNYZCIlICBkIgAAMuWLUNkZKT82rlzp3xMp9PhsccegxACn3zyiV/6N2fOHMTExMivunXr+qUf\\\n",
       "VUVVe/5OCOH2QipTpkyxWr5s2TL5a/OVTlevXm31HF+NhrkynVmj0fikD+bsbUpPnqvMEUKGSyLy\\\n",
       "JwZCIgIA9OvXD4cPH5Zf7du3B/C/MHj+/Hls2rTJ5uggANSoUQNqtdrimaurV68iOTkZAJCcnAyt\\\n",
       "Vov8/HybdayZPHkyCgoK5NfFixfdfKfVh9FohMFgwNy5c6vE3nQbN25EWVmZy+c5sz+f+fu7//77\\\n",
       "3W7LXfv27XNYR6VSQavV+qwP5v7+97/bPNawYcNK60d1VFmBkCGQiPzN/3cQRFQlREVFoXHjxvIr\\\n",
       "LCxMDoOnTp3C5s2bkZCQYLeNkJAQtGvXDhkZGXKZ0WhERkaGPOWuXbt2CA4ONqlz8uRJXLhwwe60\\\n",
       "PI1Gg+joaJMX3QogL730EgwGg1thzNtCQ0O91lbFqbGzZs0yOWb+C4WKfBUKO3fubPNY+fO1njxP\\\n",
       "6Y5vv/0WkZGRUKvVUKlUCAoKkrcJOXfuXKX2pbqpjECo9JkORFQ1MBASkVU6nQ6PPPII9u/fj2XL\\\n",
       "lsFgMCArKwtZWVkmIyA9e/bEwoUL5e8nTJiAf/3rX/jqq69w/PhxjB49GkVFRRgxYgSAW6uXjhw5\\\n",
       "EhMmTMDWrVtx4MABjBgxAl26dLF7w61UMTExqFWrFubMmeMwbISEhOChhx6qpJ7Z9vnnn1uUhYeH\\\n",
       "yzfOY8aMMTn2888/W20nJCQEOp0Oe/bswfTp002OPfLIIzavX1RUZLW8Zs2aaNWqlUeBUaVSmfwc\\\n",
       "hBBWn4n1tcTERGzYsAEtWrRAUVGRvN+jwWCwmF5LlScvLw8JCQnyy9E06kuXLgHwbGEmIiJPBfm7\\\n",
       "A0RUNWVmZuKHH34AcGtz9Iq2bt2KHj16AABOnz6NnJwc+digQYNw7do1TJs2DVlZWWjTpg3Wr19v\\\n",
       "stDMhx9+CJVKhYEDB6KsrAzp6elYtGiRz99TICpfQOe1117Da6+9hqZNm+LkyZM26y9duhSRkZGV\\\n",
       "2ENLTz/9NEaOHCl/X1paarKx+qJFi7Bo0SIkJycjKChIvik2ZzAYEBISYvXY7t27bV5fo9EgLy8P\\\n",
       "9erVQ/369fH7779bDYF169a1eW1bhBBem54bFhaGoqIiSJKEdevWoU+fPg7PCQkJMRkJ7tWrF6cc\\\n",
       "+ogrI38V6+Xl5clfb9y40eE5Xbt2dbOHRETewUBIRFY1aNDAqd9aW5uWNnbsWIwdO9bmOaGhofj4\\\n",
       "44/x8ccfe9JFRfrzzz/x119/oXHjxlaP2xod86ZGjRph7ty5eOSRR5xaxKXiLwwqsreqrCOOVlqN\\\n",
       "i4vDjRs37Na5ePEiXn75ZcydO9ftfrgrJCTEZAXQBx54ALNnz7a5wA5wayqstWnBwcHB3FrCB9wN\\\n",
       "hPHx8fLX5c9i26tfcQEvIiJ/4JRRIqIA06RJE5vHpk6d6tNrG41G/PXXX+jXrx+0Wi0SExMdnmNv\\\n",
       "sSB/++CDD/xy3YojpuVef/11u+fYCn22ptySZ9x5hjA+Ph65ubnya8OGDU5fp+L3H330kc/eFxGR\\\n",
       "OQZCIqJq5P/+7/981nbnzp0tRkycGeULCvL+ZBRvtumPwOrOtFNbo1X33HOPp90hK3y5qIz5Xq3m\\\n",
       "xo0b50nXiYhcwimjRERVmKuLTdianukr5ous2FKVF824cuWKv7sgc+dzCg4OrtKfb6Byd8qoM6z9\\\n",
       "IqW8Df4siaiycYSQiIiIiIhIoThCSERERGTGlyOE1nBkkIj8hYGQiIiIyExlB0IiIn9hICQiIiIy\\\n",
       "w0BIRErBQEhERERkhoGQiJSCgZCIiIjIDAMhESkFVxklIiIiIiJSKI4QEhEREZnhCCERKQUDIRER\\\n",
       "EZEZBkIiUgoGQiIiIiIzDIREpBQMhERERERmGAiJSCkYCImIiIisYNAjIiXgKqNEREREREQKxRFC\\\n",
       "IiIiIjOcMkpESsFASERERGSGgZCIlIKBkIiIiMgMAyERKQUDIREREZEZBkIiUgoGQiIiIiIzDIRE\\\n",
       "pBQMhERERERmGAiJSCm47QQREREREZFCcYSQiIiIyAxHCIlIKRgIiYiIiMwwEBKRUjAQEhEREZlh\\\n",
       "ICQipWAgJCIiIjLDQEhESsFASERERGSGgZCIlIKrjBIRERERESkURwiJiIiIzHCEkIiUgoGQiIiI\\\n",
       "yAwDIREpBQMhERERkRkGQiJSCgZCIiIiIjMMhESkFAyERERERGYYCIlIKbjKKBERERERkUJxhJCI\\\n",
       "iIjIDEcIiUgpGAiJiIiIrGDQIyIlYCAkIiIiMsMRQiJSCgZCIiIiIjMMhESkFAyERERERGYYCIlI\\\n",
       "KRgIiYiIiMwwEBKRUnDbCSIiIiIiIoXiCCERERGRGY4QEpFSMBASERERmWEgJCKlYCAkIiIiMsNA\\\n",
       "SERKwUBIREREZIaBkIiUgoGQiIiIyAwDIREpBVcZJSIiIiIiUiiOEBIRERGZ8eUIoa36QgiX2iEi\\\n",
       "8gaOEBIRERGZKQ+Ezr68oXHjxl5ph4jIFRwhJCIiIjLjyxFC85HAoKAgGAwGnD592qV2iIi8gYGQ\\\n",
       "iKq9mTNn+rsLRBRg3AmEeXl5SEhIkMvbt2+PDRs2ODzfYDC410kiIi9gICQiIiIy4+4IYV5envz1\\\n",
       "xo0bHZ67evVq+Ws+Q0hE/sBASEREROQl8fHx8tft27d3WP+hhx7yZXeIiBxiICQiIiIy484IYXx8\\\n",
       "PHJzc126RjmODhKRv3CVUSJyynPPPQdJkjBv3jyHdT/++GM0aNAAoaGh6NSpE3799VeT46WlpRgz\\\n",
       "ZgwSEhIQGRmJgQMH4urVqz7qORGR63y5yuiJEycYBomoymAgJCKHvv/+e+zduxcpKSkO665YsQIT\\\n",
       "JkzA9OnTcfDgQdxxxx1IT09Hdna2XOell17Cjz/+iJUrV2L79u24fPkyHn74YV++BSIil/gyEDZr\\\n",
       "1szqtdq1a+fNt0BE5BQGQiKyKzMzE+PGjcOyZcsQHBzssP7cuXPxzDPPYMSIEWjevDkWL16M8PBw\\\n",
       "fPHFFwCAgoICfP7555g7dy7uvfdetGvXDl9++SV2796NvXv3+vrtEBE5rTL3IASAgwcPeq0tIiJn\\\n",
       "MRASkU1GoxFDhw7FK6+8ghYtWjisr9VqceDAAaSlpcllKpUKaWlp2LNnDwDgwIED0Ol0JnVSU1NR\\\n",
       "r149uQ4Rkb/5coRQCGHzRURU2bioDBHZ9M477yAoKAgvvPCCU/VzcnJgMBiQlJRkUp6UlIQTJ04A\\\n",
       "ALKyshASEoLY2FiLOllZWTbbLisrQ1lZmfx9YWGhk++CiIiIiGzhCCERAQCWLVuGyMhI+bV9+3bM\\\n",
       "nz8fS5Ys8eqUKHfNmTMHMTEx8qtu3br+7hIRVWO+HCEkIqpKGAiJCADQr18/HD58WH7t3r0b2dnZ\\\n",
       "qFevHoKCghAUFITz58/j5ZdfRoMGDay2UaNGDajVaosVQ69evYrk5GQAQHJyMrRaLfLz823WsWby\\\n",
       "5MkoKCiQXxcvXvTo/RIR2cNASERKwSmjRAQAiIqKQlRUlPz9qFGj0LdvX5M66enpGDp0KEaMGGG1\\\n",
       "jZCQELRr1w4ZGRkYMGAAgFvPIWZkZGDs2LEAgHbt2iE4OBgZGRkYOHAgAODkyZO4cOECunTpYrN/\\\n",
       "Go0GGo3Gk7dIROQ0d/YhJCIKRAyERGRVQkICEhISTMqCg4ORnJyM22+/XS7r2bMnHnroITnwTZgw\\\n",
       "AU8++STat2+Pjh07Yt68eSgqKpJDZExMDEaOHIkJEyYgPj4e0dHRGDduHLp06YLOnTtX3hskIrKD\\\n",
       "gZCIlIKBkIg8cvr0aeTk5MjfDxo0CNeuXcO0adOQlZWFNm3aYP369SYLzXz44YdQqVQYOHAgysrK\\\n",
       "kJ6ejkWLFvmj+0REVjEQEpFSSIJrHBNRACosLMTcuXN5I0ZEVs2YMQMFBQWIjo526byEhATk5eXh\\\n",
       "8uXLTp9bWFiIlJQUxMfHIzc3153uEhH5DReVISIiIiIiUihOGSUiIiIywymjRKQUDIREREREZhgI\\\n",
       "iUgpGAiJiIiIzDAQEpFSMBASERERmWEgJCKlYCAkIiIiMsNASERKwVVGiYiIiIiIFIojhERERERm\\\n",
       "OEJIRErBQEhERERkhoGQiJSCgZCIiIjIDAMhESkFAyERERGRGQZCIlIKBkIiIiIiMwyERKQUXGWU\\\n",
       "iIiIiIhIoThCSEQBSQjh7y4QURXnyf8nbty44fTI340bN9y+DhGRvzEQElFAunHjBmbOnOnvbhBR\\\n",
       "FXbjxg3ExMS4dE7z5s2xa9cu1K1b1+XrNW/e3OVziIj8TRL8NTsRBSCj0YjLly8jKipK0c/vFBYW\\\n",
       "om7durh48SKio6P93R2/4edwCz+HW4QQuHHjBlJSUqBSuf50TLdu3XDs2DGXzmnevDl27tzp8rWI\\\n",
       "iPyNgZCIKIAVFhYiJiYGBQUFig4A/Bxu4edARESu4qIyRERERERECsVASEREREREpFAMhEREAUyj\\\n",
       "0WD69OnQaDT+7opf8XO4hZ8DERG5is8QEhERERERKRRHCImIiIiIiBSKgZCIiIiIiEihGAiJiIiI\\\n",
       "iIgUioGQiKgK0el0mDRpElq1aoWIiAikpKRg2LBhuHz5ssNzP/74YzRo0AChoaHo1KkTfv31V5Pj\\\n",
       "paWlGDNmDBISEhAZGYmBAwfi6tWrvnorHnH0XsytXLkSqampCA0NRatWrbBu3TqT40IITJs2DbVq\\\n",
       "1UJYWBjS0tJw6tQpX74Fj82ZMwcdOnRAVFQUatasiQEDBuDkyZMOz6uOnwUREfkOAyERURVSXFyM\\\n",
       "gwcPYurUqTh48CBWrVqFkydPol+/fnbPW7FiBSZMmIDp06fj4MGDuOOOO5Ceno7s7Gy5zksvvYQf\\\n",
       "f/wRK1euxPbt23H58mU8/PDDvn5LLnPmvVS0e/duDB48GCNHjsShQ4cwYMAADBgwAEePHpXrvPvu\\\n",
       "u1iwYAEWL16Mffv2ISIiAunp6SgtLa2st+Wy7du3Y8yYMdi7dy82bdoEnU6HXr16oaioyOY51fWz\\\n",
       "ICIiHxJERFSl/frrrwKAOH/+vM06HTt2FGPGjJG/NxgMIiUlRcyZM0cIIUR+fr4IDg4WK1eulOsc\\\n",
       "P35cABB79uzxXefd4Oi9mHvsscdEnz59TMo6deoknn32WSGEEEajUSQnJ4v33ntPPp6fny80Go34\\\n",
       "5ptvfPAOfCM7O1sAENu3b7dZRymfBREReQ9HCImIqriCggJIkoTY2Firx7VaLQ4cOIC0tDS5TKVS\\\n",
       "IS0tDXv27AEAHDhwADqdzqROamoq6tWrJ9epCpx5L+b27NljUh8A0tPT5fpnz55FVlaWSZ2YmBh0\\\n",
       "6tSpSr13RwoKCgAA8fHxNuso5bMgIiLvYSAkIqrCSktLMWnSJAwePBjR0dFW6+Tk5MBgMCApKcmk\\\n",
       "PCkpCVlZWQCArKwshISEWITKinWqAmfei7msrCyH7728zNk2qxqj0Yjx48fj7rvvRsuWLW3WU8Jn\\\n",
       "QURE3sVASETkR8uWLUNkZKT82rlzp3xMp9PhsccegxACn3zyiR97Sf42ZswYHD16FMuXL/d3V4iI\\\n",
       "qJoJ8ncHiIiUrF+/fujUqZP8fe3atQH8LwyeP38eW7ZssTk6CAA1atSAWq22WDH06tWrSE5OBgAk\\\n",
       "JydDq9UiPz/fZJSwYp2qwJn3Yi45Odnhey8vq1WrlkmdNm3aeLH3vjF27Fj89NNP2LFjB+rUqWO3\\\n",
       "bnX/LIiIyPs4QkhE5EdRUVFo3Lix/AoLC5PD4KlTp7B582YkJCTYbSMkJATt2rVDRkaGXGY0GpGR\\\n",
       "kYEuXboAANq1a4fg4GCTOidPnsSFCxfkOlWBM+/FXJcuXUzqA8CmTZvk+g0bNkRycrJJncLCQuzb\\\n",
       "t69KvXdzQgiMHTsW33//PbZs2YKGDRs6PKe6fhZERORD/l7VhoiI/ker1Yp+/fqJOnXqiMOHD4sr\\\n",
       "V67Ir7KyMrnevffeKz766CP5++XLlwuNRiOWLFkijh07JkaNGiViY2NFVlaWXOe5554T9erVE1u2\\\n",
       "bBH79+8XXbp0EV26dKnU9+cMR+9l6NCh4tVXX5Xr//LLLyIoKEi8//774vjx42L69OkiODhYHDly\\\n",
       "RK7z9ttvi9jYWLFmzRrx3//+V/Tv3180bNhQlJSUVPr7c9bo0aNFTEyM2LZtm8mfg+LiYrmOUj4L\\\n",
       "IiLyHQZCIqIq5OzZswKA1dfWrVvlevXr1xfTp083Ofejjz4S9erVEyEhIaJjx45i7969JsdLSkrE\\\n",
       "888/L+Li4kR4eLh46KGHxJUrVyrhXbnO3nvp3r27ePLJJ03qf/vtt6Jp06YiJCREtGjRQqxdu9bk\\\n",
       "uNFoFFOnThVJSUlCo9GInj17ipMnT1bGW3GbrT8HX375pVxHKZ8FERH5jiSEEP4ZmyQiIiIiIiJ/\\\n",
       "4jOERERERERECsVASEREREREpFAMhERERERERArFQEhERERERKRQDIREREREREQKxUBIRERERESk\\\n",
       "UAyERERERERECsVASEREREREpFAMhEREFBA+//xz9OrVy+fXWb9+Pdq0aQOj0ejzaxEREfkbAyER\\\n",
       "EVV5paWlmDp1KqZPn+7za/Xu3RvBwcFYtmyZz69FRETkbwyERERU5X333XeIjo7G3XffXSnXGz58\\\n",
       "OBYsWFAp1yIiIvInBkIiIqo0165dQ3JyMt566y25bPfu3QgJCUFGRobN85YvX46+ffualPXo0QPj\\\n",
       "x483KRswYACGDx8uf9+gQQPMnj0bw4YNQ2RkJOrXr48ffvgB165dQ//+/REZGYnWrVtj//79Ju30\\\n",
       "7dsX+/fvx+nTp91/s0RERAGAgZCIiCpNYmIivvjiC8yYMQP79+/HjRs3MHToUIwdOxY9e/a0ed6u\\\n",
       "XbvQvn17t6754Ycf4u6778ahQ4fQp08fDB06FMOGDcOQIUNw8OBBNGrUCMOGDYMQQj6nXr16SEpK\\\n",
       "ws6dO926JhERUaBgICQiokr1wAMP4JlnnsETTzyB5557DhEREZgzZ47N+vn5+SgoKEBKSorb13v2\\\n",
       "2WfRpEkTTJs2DYWFhejQoQMeffRRNG3aFJMmTcLx48dx9epVk/NSUlJw/vx5t65JREQUKBgIiYio\\\n",
       "0r3//vvQ6/VYuXIlli1bBo1GY7NuSUkJACA0NNSta7Vu3Vr+OikpCQDQqlUri7Ls7GyT88LCwlBc\\\n",
       "XOzWNYmIiAIFAyEREVW606dP4/LlyzAajTh37pzdugkJCZAkCdevX3fYrsFgsCgLDg6Wv5YkyWaZ\\\n",
       "+TYTeXl5SExMdHhNIiKiQMZASERElUqr1WLIkCEYNGgQ3njjDTz99NMWo3MVhYSEoHnz5jh27JjF\\\n",
       "MfNpnmfOnPFKH0tLS3H69Gm0bdvWK+0RERFVVQyERERUqV5//XUUFBRgwYIFmDRpEpo2bYqnnnrK\\\n",
       "7jnp6enYtWuXRfmaNWuwatUqnD59Gm+++SaOHTuG8+fPIzMz06M+7t27FxqNBl26dPGoHSIioqqO\\\n",
       "gZCIiCrNtm3bMG/ePCxduhTR0dFQqVRYunQpdu7ciU8++cTmeSNHjsS6detQUFBgUt6nTx+8++67\\\n",
       "aN68OXbs2IFFixbh119/xdKlSz3q5zfffIMnnngC4eHhHrVDRERU1Umi4jrbREREVdSjjz6KO++8\\\n",
       "E5MnTwZwax/CNm3aYN68eV69Tk5ODm6//Xbs378fDRs29GrbREREVQ1HCImIKCC89957iIyM9Pl1\\\n",
       "zp07h0WLFjEMEhGRInCEkIiIApKvRgiJiIiUhIGQiIiIiIhIoThllIiIiIiISKEYCImIiIiIiBSK\\\n",
       "gZCIiIiIiEihGAiJiIiIiIgUioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSK\\\n",
       "gZCIiIiIiEihGAiJiIiIiIgUioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBTq\\\n",
       "/wFW0xGOD3UedwAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[39] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAbP9JREFUeJzt3Xl4FEXCBvC3ZzKZyX1CQiDcILdgQAyoKATjgiIrKrIih4gX\\\n",
       "qIiriAeXCoqK4HKti4oiCuIqiLAo9xUOCeC3SEBECGcSICe5ZjJT3x886WXuIzOZTPr9PU8/m6mu\\\n",
       "rq4ecOk31V0lCSEEiIiIiIiISHFU/u4AERERERER+QcDIRERERERkUIxEBIRERERESkUAyERERER\\\n",
       "EZFCMRASEREREREpFAMhERERERGRQjEQEhERERERKRQDIRERERERkUIxEBIRERERESkUAyERERER\\\n",
       "EZFCMRASEREREREpFAMhERERERGRQjEQEhERERERKRQDIRERERERkUIxEBIRkUe2bdsGSZKwbds2\\\n",
       "f3eFvGz//v0IDg5GdnZ2rZ/7ypUrCAsLw/r162v93ERESsRASEREDi1cuBBLly71dzc88tVXX2Hu\\\n",
       "3Ln+7gYAwGQyYfbs2WjRogV0Oh26dOmCr7/+2uXjCwsL8cQTT6BBgwYICwvDnXfeiYMHD1rVW7ly\\\n",
       "JYYPH442bdpAkiTccccdbvf1tddew7Bhw9CsWTO3j62puLg4PP7443jjjTdq/dxEREokCSGEvztB\\\n",
       "RER1V6dOnRAfH281EmgymaDX6xEcHAyVqm7+fvGee+7BkSNHcPr0aX93BZMnT8Y777yDsWPHokeP\\\n",
       "HlizZg3WrVuHr7/+Gg8//LDDY00mE2677Tb8+uuveOmllxAfH4+FCxfi7NmzyMzMRJs2beS6d9xx\\\n",
       "BzIzM9GjRw8cPnwYXbp0cWsU9/Dhw+jWrRsyMjKQmprq6eXWSFZWFjp06IDNmzejb9++fukDEZFS\\\n",
       "MBASEbmgtLQUYWFh/u6GX9gLhIGgrgTC8+fPo0WLFnjiiScwf/58AIAQAn369MGpU6dw+vRpqNVq\\\n",
       "u8d/8803GDp0KFatWoUHHngAAHDp0iW0bdsWf/nLX/DVV1/Jdc+ePYvGjRtDpVJ59Gf3/PPPY/Xq\\\n",
       "1Th9+jQkSfLsgr2gc+fO6NatG7744gu/9YGISAnq5q90iYh86Pz58xgzZgySkpKg1WrRokULPP30\\\n",
       "09Dr9QCApUuXQpIkbN++Hc888wwaNmyIJk2ayMcvXLgQHTt2hFarRVJSEsaNG4fCwkKzc5w4cQJD\\\n",
       "hgxBYmIidDodmjRpgocffhhFRUVynY0bN+LWW29FdHQ0wsPDccMNN+DVV1912n9XjqusrMTUqVPR\\\n",
       "unVraLVaJCcn4+WXX0ZlZaVVe19++SVuvvlmhIaGIiYmBrfffjt+/vlnAEDz5s3x22+/Yfv27ZAk\\\n",
       "yewRRHvvEK5atQopKSkICQlBfHw8hg8fjvPnz5vVGTVqFMLDw3H+/HkMHjwY4eHhaNCgAf7+97/D\\\n",
       "aDQ6/Q7WrFmDgQMHyn+GrVq1wptvvml27B133IF169YhOztb7nvz5s3ttjlq1Ci5nuU2bdo0p31y\\\n",
       "1l+DwYBnnnlGLpMkCU8//TTOnTuHPXv2ODz+22+/RUJCAu6//365rEGDBnjooYewZs0asz/X5OTk\\\n",
       "Go3Yrl69Gn379rUKg/a+h+bNm2PUqFHy5+r/fnbt2oXnnnsODRo0QHR0NJ588kno9XoUFhZixIgR\\\n",
       "iImJQUxMDF5++WXY+t10//79sXbtWpv7iIjIe4L83QEiotp04cIF3HzzzfL7WO3atcP58+fx7bff\\\n",
       "oqysDMHBwXLdZ555Bg0aNMCUKVNQWloKAJg2bRqmT5+OtLQ0PP300zh+/DgWLVqEX375Bbt374ZG\\\n",
       "o4Fer0d6ejoqKyvx7LPPIjExEefPn8ePP/6IwsJCREVF4bfffsM999yDLl26YMaMGdBqtfjjjz+w\\\n",
       "e/duh/135TiTyYRBgwZh165deOKJJ9C+fXv897//xYcffojff/8dq1evlutOnz4d06ZNQ69evTBj\\\n",
       "xgwEBwdj37592LJlC+666y7MnTsXzz77LMLDw/Haa68BABISEuz2b+nSpRg9ejR69OiBWbNmITc3\\\n",
       "F/PmzcPu3btx6NAhREdHy3WNRiPS09PRs2dPvP/++9i0aRM++OADtGrVCk8//bTD72Hp0qUIDw/H\\\n",
       "xIkTER4eji1btmDKlCkoLi7Ge++9B+Dae3BFRUU4d+4cPvzwQwBAeHi43TaffPJJpKWlmZVt2LAB\\\n",
       "y5cvR8OGDeWyy5cvO+xbtYiICGi1WgDAoUOHEBYWhvbt25vVufnmm+X9t956q922Dh06hJtuuskq\\\n",
       "6N188834+OOP8fvvv6Nz584u9cuR8+fP48yZM7jppptq3Fb13/3p06dj7969+PjjjxEdHY2MjAw0\\\n",
       "bdoUM2fOxPr16/Hee++hU6dOGDFihNnxKSkp+PDDD/Hbb7+hU6dONe4PERHZIYiIFGTEiBFCpVKJ\\\n",
       "X375xWqfyWQSQgjx2WefCQDi1ltvFVVVVfL+vLw8ERwcLO666y5hNBrl8vnz5wsA4tNPPxVCCHHo\\\n",
       "0CEBQKxatcpuPz788EMBQFy6dMmt/rty3LJly4RKpRI7d+40K1+8eLEAIHbv3i2EEOLEiRNCpVKJ\\\n",
       "v/71r2bXI8T/vgshhOjYsaPo06eP1Xm2bt0qAIitW7cKIYTQ6/WiYcOGolOnTqK8vFyu9+OPPwoA\\\n",
       "YsqUKXLZyJEjBQAxY8YMsza7desmUlJSHH8JQoiysjKrsieffFKEhoaKiooKuWzgwIGiWbNmTtuz\\\n",
       "5cSJEyIqKkr079/f7O8BAJe2zz77zKwfLVu2tDpHaWmpACBeeeUVh30JCwsTjz32mFX5unXrBACx\\\n",
       "YcMGm8fZ+7OzZ9OmTQKAWLt2rdU+AGLq1KlW5c2aNRMjR46UP1f/95Oenm729yg1NVVIkiSeeuop\\\n",
       "uayqqko0adLEZh8zMjIEALFy5UqX+09ERO7jI6NEpBgmkwmrV6/Gvffei+7du1vtt3xEbuzYsWbv\\\n",
       "dW3atAl6vR4TJkwwG6kZO3YsIiMjsW7dOgBAVFQUAOCnn35CWVmZzb5Uj5StWbMGJpPJ5Wtw5bhV\\\n",
       "q1ahffv2aNeuHS5fvixv1ZNzbN26FcC1RwNNJhOmTJliNfLkybtjBw4cQF5eHp555hnodDq5fODA\\\n",
       "gWjXrp38/VzvqaeeMvt822234c8//3R6rpCQEPnnkpISXL58GbfddhvKyspw7Ngxt/tuqbS0FH/9\\\n",
       "618RExODr7/+2uzvwcaNG13a0tPT5WPKy8vl0cLrVX9P5eXlDvtT0+NddeXKFQBATExMjdsaM2aM\\\n",
       "2d+jnj17QgiBMWPGyGVqtRrdu3e3+Wde3QdXR2SJiMgzfGSUiBTj0qVLKC4udvnxsxYtWph9rl6T\\\n",
       "7YYbbjArDw4ORsuWLeX9LVq0wMSJEzFnzhwsX74ct912GwYNGoThw4fLYXHo0KFYsmQJHn/8cbzy\\\n",
       "yivo168f7r//fjzwwAMO3/9y5bgTJ04gKysLDRo0sNlGXl4eAODkyZNQqVTo0KGDS9+HM/a+HwBo\\\n",
       "164ddu3aZVam0+ms+hgTE4OCggKn5/rtt9/w+uuvY8uWLSguLjbbd/17mp4aO3YsTp48iYyMDMTF\\\n",
       "xZnts3ys1BUhISE239+sqKiQ9/vyeHcJL7y317RpU7PP1X/3k5OTrcpt/ZlX98GfE9sQESkBAyER\\\n",
       "kR01ucn+4IMPMGrUKKxZswY///wznnvuOcyaNQt79+5FkyZNEBISgh07dmDr1q1Yt24dNmzYgJUr\\\n",
       "V6Jv3774+eef7c446cpxJpMJnTt3xpw5c2y2YXlD7i+OZtV0pLCwEH369EFkZCRmzJiBVq1aQafT\\\n",
       "4eDBg5g0aZJbI662zJs3D19//TW+/PJLdO3a1Wp/Tk6OS+1ERUXJf4caNWqErVu3QghhFnAuXrwI\\\n",
       "AEhKSnLYVqNGjeS613P1eFdVh19XQnk1e+HR3p+vrXJbbVT3IT4+3uW+EBGR+/jIKBEpRoMGDRAZ\\\n",
       "GYkjR454dHz1It3Hjx83K9fr9Th16pTVIt6dO3fG66+/jh07dmDnzp04f/48Fi9eLO9XqVTo168f\\\n",
       "5syZg6NHj+Ltt9/Gli1b5Ec67XF2XKtWrZCfn49+/fohLS3NaqsewWvVqhVMJhOOHj3q8HyujtDY\\\n",
       "+36qy7y1yPm2bdtw5coVLF26FM8//zzuuecepKWl2XzM0d3RpZ07d+Lvf/87JkyYgEceecRmnUaN\\\n",
       "Grm0rVy5Uj6ma9euKCsrQ1ZWlllb+/btk/c70rVrVxw8eNAq7O7btw+hoaFo27atW9dpT7t27QAA\\\n",
       "p06dsrm/pKTEqqx6xNnbqvtgOREPERF5FwMhESmGSqXC4MGDsXbtWhw4cMBqv7PH5NLS0hAcHIyP\\\n",
       "PvrIrO4nn3yCoqIiDBw4EABQXFyMqqoqs2M7d+4MlUolP/aXn59v1X51KLD1aGA1V4576KGHcP78\\\n",
       "efzrX/+yqlteXi7PmDp48GCoVCrMmDHDKmhcf31hYWFWy2rY0r17dzRs2BCLFy82u4b//Oc/yMrK\\\n",
       "kr+fmqoeYbq+j3q9HgsXLrSqGxYW5vIjpBcvXsRDDz2EW2+9VZ6p1BZP3iG87777oNFozPoohMDi\\\n",
       "xYvRuHFj9OrVy6wfx44dg8FgkMseeOAB5Obm4rvvvpPLLl++jFWrVuHee++1+X6hJxo3bozk5GSb\\\n",
       "/30AsFpi5D//+Q8qKip8sjREZmYmoqKi0LFjR6+3TURE/8NHRolIUWbOnImff/4Zffr0kZdkuHjx\\\n",
       "IlatWoVdu3aZLYtgqUGDBpg8eTKmT5+Ou+++G4MGDcLx48excOFC9OjRA8OHDwcAbNmyBePHj8eD\\\n",
       "Dz6Itm3boqqqCsuWLYNarcaQIUMAADNmzMCOHTswcOBANGvWDHl5eVi4cCGaNGnicPkBV4579NFH\\\n",
       "8c033+Cpp57C1q1b0bt3bxiNRhw7dgzffPMNfvrpJ3Tv3h2tW7fGa6+9hjfffBO33XYb7r//fmi1\\\n",
       "Wvzyyy9ISkrCrFmzAFyb/n/RokV466230Lp1azRs2FCeoOZ6Go0G7777LkaPHo0+ffpg2LBh8rIT\\\n",
       "zZs3xwsvvODpH5uZXr16ISYmBiNHjsRzzz0HSZKwbNkym6EkJSUFK1euxMSJE9GjRw+Eh4fj3nvv\\\n",
       "tdnuc889h0uXLuHll1/GihUrzPZ16dIFXbp0AeDZO4RNmjTBhAkT8N5778FgMKBHjx5YvXo1du7c\\\n",
       "ieXLl5s9Rjl58mR8/vnnOHXqlLxu4gMPPIBbbrkFo0ePxtGjRxEfH4+FCxfCaDRi+vTpZufasWMH\\\n",
       "duzYAeDae7OlpaV46623AAC33347br/9dod9ve+++/D9999bPd4KAFlZWRgwYAAGDRqECxcuYN68\\\n",
       "eYiKikJGRga+/vprDBs2zO3vxp6NGzfi3nvv5TuERES+5o+pTYmI/Ck7O1uMGDFCNGjQQGi1WtGy\\\n",
       "ZUsxbtw4UVlZKYT437T5tpamEOLaMhPt2rUTGo1GJCQkiKeffloUFBTI+//880/x2GOPiVatWgmd\\\n",
       "TidiY2PFnXfeKTZt2iTX2bx5s7jvvvtEUlKSCA4OFklJSWLYsGHi999/d9h3V4/T6/Xi3XffFR07\\\n",
       "dhRarVbExMSIlJQUMX36dFFUVGRW99NPPxXdunWT6/Xp00ds3LhR3p+TkyMGDhwoIiIiBAB5iQDL\\\n",
       "ZSeqrVy5Um4vNjZWPPLII+LcuXNmdUaOHCnCwsKsrm/q1KnClX+adu/eLW655RYREhIikpKSxMsv\\\n",
       "vyx++uknq/5cvXpV/O1vfxPR0dECgMMlKPr06WN3CQlbyy24y2g0ipkzZ4pmzZqJ4OBg0bFjR/Hl\\\n",
       "l19a1atekuPUqVNm5fn5+WLMmDEiLi5OhIaGij59+tj8O1r9HXp6HQcPHhQArJYtASAmTpwoHnzw\\\n",
       "QRESEiIaNWok5s+fLxYvXixCQ0PF448/LoSw/99Pdb8sl0yx9XchKytLADD7b4aIiHxDEsIHz3kQ\\\n",
       "ERFRwOrXrx+SkpKwbNkyuUySJEydOhXTpk3z+fknTJiAHTt2IDMzkyOEREQ+xncIiYiIyMzMmTOx\\\n",
       "cuVKeSmR2nTlyhUsWbIEb731FsMgEVEt4DuEREREZKZnz57Q6/V+OXdcXByuXr3ql3MTESkRRwiJ\\\n",
       "iIiIiIgUiiOERERE5BSnHCAiqp84QkhERERERKRQDIREREREREQKxUdGiSggmUwmXLhwAREREZyJ\\\n",
       "kIjMCCFQUlKCpKQkqFTu/+67d+/eyMrKcuuY9u3bY/fu3W6fi4jI37gOIREFpHPnzmHJkiX+7gYR\\\n",
       "1VHTp0/H2bNn0aRJE7eO6927NzIyMjw6Z69evRgKiSjgcISQiAJSREQEAHB0kIjsqv7/CXe4OzLo\\\n",
       "6bG2/r+r+nf0jz/+OD755BObx/H3+ETkbQyERBSQGASJyJma/v+Eq8d7O6StWrXKq+0RETnCQEhE\\\n",
       "RERkQZIktwKlu6Hw+vqW5ykqKrLZn+r/5SghEXkTZxklIiIislAdCF3dAKCgoACxsbHy1r9/f6/3\\\n",
       "KyYmxuttEpGycYSQiIiIyIK7I4TVCgoK5J83bdrklb707t1b/jk/P98rbRIRVWMgJCIiIrLgaSC8\\\n",
       "fgQvJSWlxv14/PHH5VlPOTpIRL7AQEhERERkwZNAGBMT49URvOtnG9VoNBwdJCKf4DuERERERHXM\\\n",
       "9WFQpVJBr9f7uUdEVF8xEBIRERFZ8GRSGXc0btzY6tjqz5brEJpMJnnfAw884JXrIyKqxkdGiYiI\\\n",
       "iCx4GvRcdeHCBbv77C1KDwD//ve/fdEdIlIwBkIiIiIiC74OhFxLkIjqCgZCIiIiIgu+DoRERHUF\\\n",
       "AyERERGRBQZCIlIKTipDRERERESkUBwhJCIiIrLAEUIiUgqOEBKRy9555x1IkoQJEyY4rLdq1Sq0\\\n",
       "a9cOOp0OnTt3xvr16832CyEwZcoUNGrUCCEhIUhLS8OJEyd82HMiIvf4etkJIqK6goGQiFzyyy+/\\\n",
       "4J///Ce6dOnisF5GRgaGDRuGMWPG4NChQxg8eDAGDx6MI0eOyHVmz56Njz76CIsXL8a+ffsQFhaG\\\n",
       "9PR0VFRU+PoyiIhcwkBIRErBQEhETl29ehWPPPII/vWvfyEmJsZh3Xnz5uHuu+/GSy+9hPbt2+PN\\\n",
       "N9/ETTfdhPnz5wO4Njo4d+5cvP7667jvvvvQpUsXfPHFF7hw4QJWr15dC1dDROQcAyERKQUDIRE5\\\n",
       "NW7cOAwcOBBpaWlO6+7Zs8eqXnp6Ovbs2QMAOHXqFHJycszqREVFoWfPnnIdWyorK1FcXGy2ERH5\\\n",
       "CgMhESkFAyERObRixQocPHgQs2bNcql+Tk4OEhISzMoSEhKQk5Mj768us1fHllmzZiEqKkrekpOT\\\n",
       "3bkMIiIiIrKBgZCI7Dp79iyef/55LF++HDqdzq99mTx5MoqKiuTt7Nmzfu0PEdVvHCEkIqXgshNE\\\n",
       "ZFdmZiby8vJw0003yWVGoxE7duzA/PnzUVlZCbVabXZMYmIicnNzzcpyc3ORmJgo768ua9SokVmd\\\n",
       "rl272u2LVquFVqut6SUREbmEQY+IlIIjhERkV79+/fDf//4Xhw8flrfu3bvjkUceweHDh63CIACk\\\n",
       "pqZi8+bNZmUbN25EamoqAKBFixZITEw0q1NcXIx9+/bJdYiI6gKODhKREnCEkIjsioiIQKdOnczK\\\n",
       "wsLCEBcXJ5ePGDECjRs3lt8xfP7559GnTx988MEHGDhwIFasWIEDBw7g448/BgB5HcO33noLbdq0\\\n",
       "QYsWLfDGG28gKSkJgwcPrtXrIyKyx52wx1BIRIGMgZCIauTMmTNQqf73sEGvXr3w1Vdf4fXXX8er\\\n",
       "r76KNm3aYPXq1WbB8uWXX0ZpaSmeeOIJFBYW4tZbb8WGDRv8/p4iEVE1BkIiUgpJCCH83QkiIncV\\\n",
       "Fxdjzpw5vBEjIpumTZuGoqIiREZGunVcbGwsCgoKEB8fb/bLLkdMJhMuX76MmJgY5Ofne9JdIiK/\\\n",
       "4TuERERERERECsVHRomIiIgs8JFRIlIKBkIiIiIiCwyERKQUDIREVO9NnTrV310gIi+aPn26z8/B\\\n",
       "QEhESsFASERERGSBgZCIlIKBkIiIiMgCAyERKQVnGSUiIiIiIlIojhASERERWeAIIREpBQMhERER\\\n",
       "kQUGQiJSCgZCIiIiIgsMhESkFAyERERERBYYCIlIKRgIiYiIiCwwEBKRUnCWUSIiIiIiIoXiCCER\\\n",
       "ERGRBY4QEpFSMBASERERWWAgJCKlYCAkIiIissBASERKwUBIREREZIGBkIiUgoGQiIiIyAYGPSJS\\\n",
       "As4ySkREREREpFAcISQiIiKywEdGiUgpGAiJiIiILDAQEpFSMBASERERWWAgJCKlYCAkIiIissBA\\\n",
       "SERKwUBIREREZIGBkIiUgoGQiIiIyAIDIREpBZedICIiIiIiUiiOEBIRERFZ4AghESkFAyERERGR\\\n",
       "BQZCIlIKPjJKREREZKE6ELq6eaP962VlZXnlPEREzjAQEhEREVnwdSB0pkOHDjbLe/fu7fVzEZGy\\\n",
       "MRASERERWfB1IBRCyJulrKwsq3qRkZEAgIyMDM8viojIBgZCIiIiojrE1uhgUVGRH3pCRErAQEhE\\\n",
       "RERkwZMRwoKCAsTGxspb//79/XwVRETOcZZRIiIiIguezjJaUFAg/7xp0yav94uIyNsYCImIiIgs\\\n",
       "eBoIY2Ji5J9TUlK83i8iIm9jICQiIiKy4EkgjImJQX5+fo3PffToUav3CGNjY2vcLhGRLQyERERE\\\n",
       "RBZ8vTB948aNceHCBZvtXD/zqGXbvXr1cvtcRESOcFIZIiIiolpmGQYtHT161Gb57t27fdEdIlIw\\\n",
       "jhASERERWfD1CKGt9Qev1759e6d1iIi8gYGQiIiIyAZPgh4RUaBhICQiIiKy4OsRQiKiuoKBkIiI\\\n",
       "iMgCAyERKQUDIREREZEFBkIiUgoGQiIiIiILDIREpBRcdoKIiIiIiEihOEJIREREZIEjhESkFAyE\\\n",
       "RERERBYYCIlIKRgIiYiIiCwwEBKRUjAQEhEREVlgICQipWAgJCIiIrLAQEhESsFZRomIiIiIiBSK\\\n",
       "I4RERHWYvZEHIUQt98R/TCYT1Gq1x8c7+66UNrqjpL87NcERQiJSCgZCIqIAU5NwFIgqKys9PpY3\\\n",
       "6uQpBkIiUgoGQiKiAKPX6/3dhVp17tw5j48tLCx0uH/QoEEet031GwMhESkFAyERUYDQaDSoqKiA\\\n",
       "SqWs17/j4uI8Om748OGIjIx0WGft2rUetU31HwMhESmFsu4qiMgts2bNQo8ePRAREYGGDRti8ODB\\\n",
       "OH78uNPjVq1ahXbt2kGn06Fz585Yv3692X4hBKZMmYJGjRohJCQEaWlpOHHihK8uI6AJIeRNr9cr\\\n",
       "LgwCQGxsrN19RqPR7DsSQsBkMkEIgWXLljlsV6fT1ahfKpVKkX8eSlEdCF3diIgCFf8lIyK7tm/f\\\n",
       "jnHjxmHv3r3YuHEjDAYD7rrrLpSWlto9JiMjA8OGDcOYMWNw6NAhDB48GIMHD8aRI0fkOrNnz8ZH\\\n",
       "H32ExYsXY9++fQgLC0N6ejoqKipq47IoAO3du9fsc2JiIoQQNgOZKzfnycnJHr+bWB04jUajWSCt\\\n",
       "acD0hl9//dUsHH/22Wf+7hIREdVxkuB0Y0TkokuXLqFhw4bYvn07br/9dpt1hg4ditLSUvz4449y\\\n",
       "2S233IKuXbti8eLFEEIgKSkJL774Iv7+978DAIqKipCQkIClS5fi4YcfdqkvxcXFmDNnjks3/1On\\\n",
       "TnWpTar7hBA1Go05f/48mjRp4vHxJpPJ4fn9OVJUVVVlc8Ihy2uuD//sT58+3WmdadOmoaioyOlj\\\n",
       "w5ZiY2NRUFCAvn37IijItTdrqqqqsGXLFsTExCA/P9+t8xER+RtHCInIZUVFRQAcP8K3Z88epKWl\\\n",
       "mZWlp6djz549AIBTp04hJyfHrE5UVBR69uwp17GlsrISxcXFZhsFhptvvhlRUVEoKSmpcVueBq7q\\\n",
       "IFeTMOjK+VNTU2vUvqe++uoru7PPNm7cGBMmTKjdDtUDfGSUiJSCgZCIXGIymTBhwgT07t0bnTp1\\\n",
       "slsvJycHCQkJZmUJCQnIycmR91eX2atjy6xZsxAVFSVvycnJnl4K1ZKCggJIkoRffvkFxcXFiIyM\\\n",
       "xJUrV/zSF28s1dG/f3+ndX766acan8ddQUFBGDZsmMM6H374odW7vOQYAyERKQUDIRG5ZNy4cThy\\\n",
       "5AhWrFjhl/NPnjwZRUVF8nb27Fm/9INcZ2skOTEx0eExubm52Llzp1f7UVVV5XJdtVpt9zHBn3/+\\\n",
       "2enxERERLp/LG4KCgmAwGFyq+5e//KVePC5amxgGiUgJGAiJyKnx48fjxx9/xNatW50+cpeYmIjc\\\n",
       "3FyzstzcXDkIVP+vozq2aLVaREZGmm3kHUajEWq1Gmq1GiaTyStt2huRczRSJ0kSEhMTcfvtt0OS\\\n",
       "JJfCiyt1XHkP7MqVKxBCoKqqCgaDQZ6UJSwsDCEhIW5NQOPqe2fXkyQJX3/9NUpKSnDx4kUMHTrU\\\n",
       "adDIzc11OQyS+zhCSERKwUBIRHYJITB+/Hh8//332LJlC1q0aOH0mNTUVGzevNmsbOPGjfK7VS1a\\\n",
       "tEBiYqJZneLiYuzbt89v718pXW5uLkwmE0wmE65evVrj9v744w+7wTI7O9tm+YYNG6zKNBqN3XNU\\\n",
       "vxOoUqlcCo+2Ap0kSXIQtPde7NWrV1FWVobg4GCH7V/P3ZD2+uuvw2Qy4eGHH0Z4eDgSExOxYsUK\\\n",
       "eTZTIQTy8vKwfft2FBQUyGUNGzZ06zxERES2MBASkV3jxo3Dl19+ia+++goRERHIyclBTk4OysvL\\\n",
       "5TojRozA5MmT5c/PP/88NmzYgA8++ADHjh3DtGnTcODAAYwfPx7AtZvwCRMm4K233sIPP/yA//73\\\n",
       "vxgxYgSSkpIwePDg2r5EApCUlIQrV67gypUrLo+8xsTEQJIkhIeH48KFC3L5iy++iDZt2tg9zvLd\\\n",
       "0WojR460KjMajXbbsRxpVKlUDt9PDA4Otlqn0GQyOZwgqSaEEC69txgZGYk333zTab0GDRrg9ttv\\\n",
       "R3R0tBd6R67gCCERKYX7z7UQkWIsWrQIAHDHHXeYlX/22WcYNWoUAODMmTNma8H16tULX331FV5/\\\n",
       "/XW8+uqraNOmDVavXm02Ec3LL7+M0tJSPPHEEygsLMStt96KDRs21Il13JTKnWB0/c1vaWkpGjdu\\\n",
       "XOPzv/nmm3jyySfNyuwFqrvuustmeXx8vEuPkNbWzXtVVRX69euHLVu22K1TPXMv1T3uBD0GQiIK\\\n",
       "ZFyHkIgCEtch9I++ffti69atHh/v6J8cyz9Le2v+Ofoz79ChA3777TeP++cLt956K3bv3m1VrtFo\\\n",
       "oNfra70/9SG8TJ482eljvNOnT6/ROoR33323w8eWr2cwGLBhwwauQ0hEAYmPjBIRkctqEgYBIDQ0\\\n",
       "1O4+IQSGDx+OHj16eLwA/dGjRyFJEvbv31+TbnrVrl270K5dO6tydyaqodrHR0aJSCn4yCgREbnE\\\n",
       "GyMf5eXlDieBWbZsWY3PAQA9e/aUf66qqvLKOoQ1kZWVhcLCQsTHx0OSJJSWljJE1HF8ZJSIlIIj\\\n",
       "hERE5JK4uDivteVs+RJH/vjjD7fqe7IMhC9ER0fLy1q4MmupEAJarRaSJGHSpEm10EO6HkcIiUgp\\\n",
       "GAiJiMipkpISr7Z3/cyk7mrVqhW++uorL/bGOZPJZDa7bm1QqVTyO4azZ89Gy5Yta/X8RESkDAyE\\\n",
       "RETklLeXO6iewdZTw4YNgxACERERXuqRfVqtFmq1GqGhoZAkye4ai95ka7KZU6dO2X1sl/PDeR9H\\\n",
       "CIlIKRgIiYjIKW+GoEmTJlktMeGp4uJipyN38fHxHrefk5NjFc5ceR+xpt+XvXPExcXh2LFj8ufe\\\n",
       "vXtDkiSoVCpIksSJaryIgZCIlKJuvFhBRER1mlqtdrhQ/PVCQ0NRXFwshxqj0Qi9Xg+dTueTG2ed\\\n",
       "TgchBK5evWo1YqhSqXDp0iWP2x4/frzN8uPHj+OGG26wKu/Vqxf27NkDADUaTXQUOtu3b293X1RU\\\n",
       "FCoqKjw6J5njpDJEpBQcISQiIqeqqqpcqldWVobS0lKzQKNWqxESEuLzm+bw8HAIIaDX67Ft2zZU\\\n",
       "Vla6HGLt+eCDD2yW21pGIiEhQQ6DwLXHOGfOnGm37eDgYEiShOTkZJv7PXkMVKvVun0M2cYRQiJS\\\n",
       "CgZCIiJyiRACvXv3trmvcePGEEIgJCSklntlTaPRoE+fPi7N5OlMs2bN7O5TqVSoqKhAZWUl1Go1\\\n",
       "8vLyrOq8/vrrNo+VJAkGgwEAcO7cObsjgu6OMBYWFrpVn+xjICQipWAgJCIil+3atQtCCKvt3Llz\\\n",
       "/u6az/ztb3+zWV4dgHU6nd3g5uoon73jJUlyOeQZDAaXgomtP79A26qX42BAIyKqOQZCIiIiB5Yv\\\n",
       "X+7xsaGhoTU+f1RUFMLCwhyeQwhRZ9ZbrC84QkhESsFASERE5MSNN97o0XH21m+89dZbzT47CxRX\\\n",
       "r161WX7+/HmUlpZ61DdyjIGQiJSCgZCIiGpNWVmZ1Y20SqVCZmamv7sGAMjLyzPr27lz5yCEwHPP\\\n",
       "Ped2W2VlZVCpbP8zu3PnTly+fBlxcXGYMmWKS+8KCiEQFRUFSZIwatQoCCGQlJTkdr/INQyERKQU\\\n",
       "fL6EiIhqxZUrV2yuCSiEQPfu3a3KJUlCs2bNcOzYsVqZPfPIkSPo3LmzWVlycjLGjh1rs3+2SJIE\\\n",
       "vV7v0uObcXFxuHz5slt95KQxtYfLThCRUnCEkIiIPOLuDJjuLhAvhMDp06fl9Qujo6Px/fff41//\\\n",
       "+heio6OhUqkQHBzsdN09tVot39wvXbrUbj3LMFhtw4YNuP/+++2O9lXr3r07TCYT3+WrJzhCSERK\\\n",
       "wUBIRERu+fXXXyFJkhy0+vTp4/QYb9wwFxUV4f7778cTTzyBoqIiCCFgMBgQEhKC1157ze55rw+u\\\n",
       "o0ePthlM7S2nAQB//PEH4uPjceXKFbt1NBoNfvnlFzeuhoiIqG5gICQiIpdUB8GuXbuale/YscPh\\\n",
       "cc5G1rxh5syZVqGzW7duNuteuXIFKpUKVVVVAIC///3vyMjIsFn30KFD8nqG0dHRiI6OtllPr9c7\\\n",
       "7N/gwYPlEH3s2DGHdalu4AghESkFAyEREVmprKxEZGSk2Q2vZRB0xeeff+7yWnzeIEkSJkyYgODg\\\n",
       "YBw+fNhuPSEENBoNJEnCBx98YLNO69atra65oKDA6ubf2fVNnToVa9asAXDtMdv27dtDkiSUlZU5\\\n",
       "vyDyK1+FwXnz5tlsJysrywdXQUTkGF90ICJSiIsXL8JoNKJx48YOb2JVKpXXQtyoUaO80o475s2b\\\n",
       "V6PjIyMjUVRUZHe/yWSSRwSrRw8dmTFjhs3ysLAw6PV6aDQazzrqgf/7v/9Dly5dau18gcyXk8pM\\\n",
       "mDDBZnmHDh1q9RcoREQARwiJiOq97777DpIkISkpCcnJyVCpVJAkCZ988olcRwiBzp07Q5IkRd+Q\\\n",
       "PvXUUw7DYLXg4GCXwqAztTF7KgBUVVVBkiSP11NUotp4ZFQIIW9ERP7CQEhEVM8NGTLEZvnjjz9u\\\n",
       "thbgkSNHPGrf0QjXn3/+6VGb/rJo0aJaPV9tBYHaHIWsLzwJhAUFBYiNjZW3/v37Oz3H9f9LROQP\\\n",
       "DIRERHXY448/jtOnT3t8fGlpqfc6Y0dsbKzdfS1atEBxcTHUarVbbb766qsQQsBoNNbaKNr06dN9\\\n",
       "0u7WrVvt7qvphDv9+/eHVqvFpUuX7NapnjyH3OPpCGFBQYG8bdq0yWbb//73v83OU40jhUTkDwyE\\\n",
       "RER12CeffIIWLVp4PIIQFhbm5R5ZKykpcbg/IiICVVVVZo/HVYc9y8cudTodhBB4++23AVwLTBUV\\\n",
       "FdDpdDbbfv311+X2nPUDgMM1AqdMmeL0eE/ccccdaNy4sc19BoPB43bXrVuHTZs2Qa/Xo2HDhnbf\\\n",
       "S+PkNbUrJiZG3tLS0mzWsTdqz5FCIvIHBkIiogDhabjzdNTBZDKZBbj09HSb9TwNHCqVCpWVlWbn\\\n",
       "KC8vt1m3vLwc+/btkz8nJSVBCIE333xTLgsPD7d7rdXtGwwG+eeqqipkZGTIYdWeOXPmWI0G2eun\\\n",
       "PefOnTMLwtU/12SEcMyYMWaf582bh4SEBKt6kZGRHp9DyTwZIYyJiUF+fr68bdy40eE5+A4hEdUF\\\n",
       "DIRERAHC2c2lI+7ccFaP0lmOVmzYsMHj83vDzTffLN88nz9/3m69yspK+WdHM6aq1WqkpqY6fZz1\\\n",
       "xRdftCoLDQ3FgQMHXOy5OW+ty7hkyRKrsry8PJt1P/roI6+cU0m4DiERKQUDIRFRABg5ciR69epV\\\n",
       "ozYeeOAB+efVq1dbPcLpbJQOgNsjY/4QHBxsNhpXE2fOnLG7r0ePHjVqu6buuecem+VXrlyxKnv2\\\n",
       "2WeRmZnp6y7VK7URCBkoiaguYCAkIqrDqoPN0qVLa9zW2rVr5Z/vu+8+j9rQ6XSIiIgwK7MXTOoD\\\n",
       "Z49bbtu2rXY64ob333/fZvlNN93ERxPd4MtA2KBBA5vl9t4tJCLyJS5MT0SkAIWFhWaPUppMJo8f\\\n",
       "XSwuLkZYWBjKysqgVqvNgmZ9Ex0d7XD/mjVrcMcdd9RKX2yxtW7k7t27/dSb+sWXC9Pbe7SXiMgf\\\n",
       "OEJIRKQArVu3Nvv85Zdf1qi9wsJC3HTTTTYfT6xvHAXnv/zlL7XYE2u2gkhRUZEfekJERIGKgZCI\\\n",
       "SAEsg9vIkSNr1J5Go0FmZiaioqJq1E4gcPQe4l133VWLPbFm6xHQs2fP+qEn9Q8nlSEipWAgJCIK\\\n",
       "UCdOnDC7IT1y5Ihbx/N9MtcJIazWTKwLj2ba+jPkCKF3MBASkVIwEBIRBaCSkhK0bdvWrKxz585u\\\n",
       "hUJPA+Hw4cPRrVu3Wg+UeXl5ePHFFzF27Fjk5OTU6rkByGsmVv9vTWd9rSl7j7KaTKZa7kn9xEBI\\\n",
       "RErBQEhEFIDsTXbSuXNnm+WXLl2yKnN3UpnBgwdDkiQsX74chw8f9tp6es68+OKLkCQJCQkJmDNn\\\n",
       "DpYsWYJGjRrhtttuq1G7JSUlZjf0W7Zscek4y5HC2mYymWxOJnM9g8FQiz2qnxgIiUgpGAiJiAKQ\\\n",
       "u6Nz8fHxcgDy5Pji4mKsWbPGqvy5555zqx13GY1GzJkzx+a+mowSVlVVWS0p0a9fvxqNrul0Ojkc\\\n",
       "6PV6j9txRq1WO62j1Wp9dn6lYCAkIqVgICQiCkAnTpywWd6wYUO7x4SHh8NkMnn0qGejRo1sli9Y\\\n",
       "sMDtttyRnZ1td5+978AVGo3GZnmbNm08ak+lUpkt66HVam1+z8XFxVCpVNBoNB79OcyePdulekII\\\n",
       "hISEuN0+EREpDwMhEVEdFhYWhhtuuAHl5eVm5a1atUJpaalZWcOGDZGbm+uTfgQF2V621tePjbZs\\\n",
       "2dJmeUVFhU/Od+bMGbePEULYDHeW341er0dUVBSEEKiqqvLou3vllVdcrltRUcGRqxrgCCERKQUD\\\n",
       "IRFRHVZWVobff/8doaGhSExMNNsXGhoqhxEhhM/CIAC7bR87dsxn56xmMpkQEREBSZLQvn17CCEc\\\n",
       "PhI5dOhQ+SbdVj1HI3OORljtcRQGIiMjYTQacfr0aZt9kSQJZ86cQVlZGd555x20b98ef/zxh932\\\n",
       "PBlVtOyfu0GnLm7VE/s42mqKgZCIlML2r3yJiKjO8WXgc0an0+G2227Dzp075bKIiAi0atXK5+eW\\\n",
       "JAnFxcUu1S0uLsY333wjf9br9fj999/NZmR1dPP+66+/etxHWyGkpKTE7uhqtWbNmpl9btOmDVQq\\\n",
       "ldX6hykpKR71Dbg20mw5okyOuRP0GAiJKJAxEBIFuFOnTmHnzp3Izs5GWVkZGjRogG7duiE1NRU6\\\n",
       "nc7f3aN6ZMeOHQCuLXzeuHHjWptl1B2xsbFWZTfeeKPVI7f2xMfHe3Te6pk/vcVkMiEmJgYFBQUA\\\n",
       "rs0Se/DgQY/bKysrgxCCwcVN/L6ISAkYCIkC1PLlyzFv3jwcOHAACQkJSEpKQkhICPLz83Hy5Eno\\\n",
       "dDo88sgjmDRpktUIBAWmmJgYf3cBAJCcnOzvLthlOaoGuL4EQ1ZWVo3O7e3AVVhYiLi4OJSVldl9\\\n",
       "Z/Luu+9GcHAwfvjhB6ftqVQqHDhwwGv9q+84QkhESlH3fr1LRE5169YNH330EUaNGoXs7GxcvHgR\\\n",
       "mZmZ2LVrF44ePSovEWAymdC9e3esWrXK312mGgoLC0N+fn6N26msrIRGo0FoaGi9XMD8+kdDq7l6\\\n",
       "s96uXbsanz89Pb3GbVyvQ4cOZrOXXs9kMuE///kP1qxZg48//til9rp37+7N7hERUT3AQEgUgN55\\\n",
       "5x3s27cPzzzzjM3RGq1WizvuuAOLFy/GsWPH7M7USHVf9TIRV69erXFbxcXF0Ol0qKqqQnl5OdRq\\\n",
       "NX755Rcv9LLusHU9VVVVZp//8Y9/+Oz8Gzdu9FpbBQUF2Llzp83/fm+99VazoDt69GivnZeu4aQy\\\n",
       "RKQUDIREAcidUYi4uLgaTUZB/uXNG01bI2A9e/b0Wvt1QXh4uNM6EyZMsCqz9z2XlJSge/fuLs2m\\\n",
       "mpeX57VR16CgIERHRwOwvdbjmjVrzD57Y1ZNMsdASERKwXcIieqJvLw8mzekXbp08VOPqK65ePGi\\\n",
       "VZkQAnq9HsHBwX7okffZm+imbdu2+O2333DTTTfZDG32gmRkZCQAoH379gCuvY94/ayhFRUVaNCg\\\n",
       "gVdGcK93/XuPtn4BZDl5zrfffuuwPY1Gg2bNmuHGG2/Ev//9b+90sp7jO4REpBQMhEQBLjMzEyNH\\\n",
       "jkRWVpY8SlA9Bb4kSTYn2SBl0mq1Nt9H8/dsoTqdTu6XWq22esQTALKzs9G2bVuYTCb861//wqhR\\\n",
       "o2y2VVRUZLP8xIkTDkPvokWLrMpycnKsyjQajd02vOWll15y+5jx48fbLH/++ecxd+5cszKGF9cw\\\n",
       "EBKRUvCRUaIA99hjj6Ft27bIyMjAn3/+iVOnTpn9L1G1iooKqxvX++67z+k6eb7UsmVLs5BqNBoh\\\n",
       "SRIGDRqEyspKZGZmQpIkNG/eHHq9HlVVVRg9ejQkSbIZgmwtO+GKRx55xKpszJgxHrVVE5IkYfbs\\\n",
       "2Q7rNG3a1KpMr9dblbVt29YqDJLr+MgoESkFAyFRgPvzzz8xe/Zs9OzZE82bN0ezZs3MNqLrVU9S\\\n",
       "YzQaIYTA6tWr/dYXIQROnTplc9/atWuh0+kczoq5YMECSJKEyMhIREREQKVSefQOn71Jl1544QW3\\\n",
       "23KVRqOxGpkNDw+32/9//vOf8s/Z2dlW+20tO3H8+HGbbQkhAn7TarU+D2gMhESkFAyERAGuX79+\\\n",
       "+PXXX/3dDQowjh4TvXLlCsLDw10aIfvyyy+RmJiIRo0aYfz48fJC6q5Qq9Uu13WkpKQEV69edTqx\\\n",
       "yvr165GdnY02bdrIZYsWLcLJkydt1k9LS/NK/yzt3bsXer1eDuXVW0lJid1jnnjiCbm+LXfeeSe0\\\n",
       "Wq38uT4uKUJERL7BdwiJAtySJUswcuRIHDlyBJ06dbJ6x2nQoEF+6hkFovLycsTHxwMAPv30Uyxd\\\n",
       "utTme6jl5eUIDQ01K1uwYIHNGTGrpaSk4JtvvkFmZiYeeugh73bcieuD1O+//+7ycZ6OOjri6cyu\\\n",
       "zt71tLd4PXmG7xASkVIwEBIFuD179mD37t34z3/+Y7WPk8qQuyxDnslkglqtNvt7dOLECZsLwDuT\\\n",
       "mZmJVq1a1biP7vjiiy/w6KOPeny80WiE0Wh0+p5ldHS02ehoVFQUiouLPT4v+R8DIREpBR8ZJQpw\\\n",
       "zz77LIYPH46LFy/CZDKZbQyDdL1HHnkEGo0Gf/vb39w6zmQyoby8XP7sSRj0h8mTJ9coDFZTq9U2\\\n",
       "Z2etJkmS1aOy9mY7pcDBdwiJSCkYCIkC3JUrV/DCCy8gISHB312hOiwoKAhfffUVqqqq8PXXX2PV\\\n",
       "qlVuHV+9Fl6g/JKhSZMmmDlzptfaCw4OxvDhw23us/dI6bJly6zKbr/9dq/1iXyLgZCIlIKBkCjA\\\n",
       "3X///di6dau/u0F1mK3RYnff4bvrrrsAeG8iGF9SqVQ4e/asW8fo9XqsXLkSb7zxBr755hvk5eVZ\\\n",
       "Bb2PP/7YbAF7SZIcvl84fPhwNGjQwKxf27dvd6tf3mQwGGyu8Ui2MRASkVLwHUKiANe2bVtMnjwZ\\\n",
       "u3btQufOna0mlXnuuef81DPyBpVKBbVajZdffhlvv/22R22sWLHCZnl+fr7Vun0ajQYGg8Gq7uuv\\\n",
       "vy7/3KNHD/zyyy8e9cWbVCoVQkJCUFZWJk8a07t3b+zatcutdrRarc11/KppNBpMmjQJL7zwAq5c\\\n",
       "uQKVSuXy2o15eXlu9cUXxo0bh4ULF8qfnc3GSkREysJASBTglixZgvDwcGzfvt1q9EGSJAbCACeE\\\n",
       "QFVVFWbOnCk/Ann27Fk0adLE5TYWLVpks7xx48Zm7wYC1yaVsXz/zXL0Y9++fU5nvKwN5eXlCA4O\\\n",
       "rlEbt956q8MwCFwbWXvrrbewfv16ZGZm1uh8/nB9GCTXcVIZIlIK//+LTkQ1curUKbvbn3/+6ZVz\\\n",
       "LFiwAM2bN4dOp0PPnj2xf/9+h/VXrVqFdu3aQafToXPnzli/fr3ZfiEEpkyZgkaNGiEkJARpaWk4\\\n",
       "ceKER31ztoB1ZWWl249+1aXNluTkZEiShPnz57v0Hdlb/N3WMgW2JkN58sknzT7XlZvfmoZBANi9\\\n",
       "e7fLdQ8dOlTj81HgqA+PjH733Xd1tm9EVHcwEBLVUxcvXsTs2bNr3M7KlSsxceJETJ06FQcPHsSN\\\n",
       "N96I9PR0u4/CZWRkYNiwYRgzZgwOHTqEwYMHY/DgwThy5IhcZ/bs2fjoo4+wePFi7Nu3D2FhYUhP\\\n",
       "T+c6am569tlnIUkSwsLCHL7LdvHiRbv7JEmSv/euXbvarNO9e/ca9dMTU6dOhRACJpPJ7g3t0aNH\\\n",
       "a3QORwvB28Iba2WpD4Hw/vvv93cXiCgASIIvExAFtMcee8xmeXZ2Nvbv3+/2Ta+lnj17okePHvJo\\\n",
       "lMlkQnJyMp599lm88sorVvWHDh2K0tJS/Pjjj3LZLbfcgq5du2Lx4sUQQiApKQkvvvgi/v73vwO4\\\n",
       "NiqVkJCApUuX4uGHH3apX8XFxZgzZ47Tenq9HrNmzXKpzUCn0+msHgEVQtT48c7w8HCrv0dxcXHI\\\n",
       "z8/3qI+uBH/Lf5rs3XA7+yespKQEMTExMBqNCA4OxoEDB9C5c2cA12ZO/fnnn13sOXDmzBkkJye7\\\n",
       "XL+uWLFiBYYNGyZ/rg//7E+fPt1pnWnTpqGoqAiRkZFutR0bG4uCggJMmjQJWq3WpWMqKyvx7rvv\\\n",
       "IiYmxqP/Lnyp+r+d+vDnTkS+wRFCogBXUFBgtl2+fBn79+/Htm3b8P7779eobb1ej8zMTKSlpcll\\\n",
       "KpUKaWlp2LNnj81j9uzZY1YfuHbjXV3/1KlTyMnJMasTFRWFnj172m2TXFNRUQFJktChQwcUFhZi\\\n",
       "/fr1XnnX7+rVq1Zl9h5HdnQ+SZKwYsUKpKSkODxfx44drcpmzJhhs66jWTOPHj2KyMhIeYZVvV6P\\\n",
       "Ll26ICQkBK1bt3YrDJ4/fz4gwyAAl3/JQubqwwjh9QKtv0RUexgIiQLc999/b7b98MMPOHLkCGbM\\\n",
       "mIHVq1fXqO3Lly/DaDRarXGYkJCAnJwcm8fk5OQ4rF/9v+60CVz7DXxxcbHZRrZlZWUhJiYGAwcO\\\n",
       "9FqblqMLUVFRZjeV1WGvrKzM4ehNr169sGbNGofB8aeffrIqe/nll23WvX72U0s33nijzfKKigqc\\\n",
       "PHnS7nGWWrVqhaSkJJfr10XNmzf3dxfIT6rfpw70v8NE5DsMhET11LBhw7Bt2zZ/d8NrZs2ahaio\\\n",
       "KHkL1NGaQGVrAheTyQSTySS/6zd06FBotVpMmTLF5rIMkiShQYMGaNy4MYxGo83lIWJjY9G4cWOr\\\n",
       "cnuP7r377rs2y6tnZ/WGP/74w+1jTCYTSktLrdZ/9JdTp06hffv2/u5GwAnE0UF7ffrHP/5hNuEW\\\n",
       "EVE1BkKieurXX39Ft27datRGfHw81Go1cnNzzcpzc3ORmJho85jExESH9av/1502AWDy5MkoKiqS\\\n",
       "N3cXHqeaqaqqsnkTae9m2NYIYHR0tNnn3r17yzenRqMRQghcuXLFbh/snWvw4MFWZVFRUXbb8QUh\\\n",
       "BBo3bizfjKvVaoSHhyMoKAiSJGHlypW12h9bjh49yiDghvrwyOj1/RoyZEid7ScR+RfXISQKcBMn\\\n",
       "TrQqy83NxZo1azBw4ECz/a5MwnK94OBgpKSkYPPmzfJNt8lkwubNmzF+/Hibx6SmpmLz5s2YMGGC\\\n",
       "XLZx40akpqYCAFq0aIHExERs3rxZntWyuLgY+/btw9NPP223L1qt1uUJHsg3qifbcIWttf0+++wz\\\n",
       "u/VdedfR3oQda9aswbp16zBgwABIkoQDBw7UeDKl640bNw4LFixwWMdZ/x9++GFMmTIFx48f91q/\\\n",
       "yLfcCXp1OWhJksRfBBCRQwyERAHO3tpoPXr0QF5enrw8hKc3LBMnTsTIkSPRvXt33HzzzZg7dy5K\\\n",
       "S0sxevRoAMCIESPQuHFjeSbP559/Hn369MEHH3yAgQMHYsWKFThw4AA+/vhjuR8TJkzAW2+9hTZt\\\n",
       "2qBFixZ44403kJSUZHOkh+qOwsJCl+o988wzNsv/8pe/1Oj8ERERdmdwvOeee2rUtiMLFy7EvHnz\\\n",
       "bD4GC8DlWSx///13NG/eHKdPn/Zi78hXAj0Q1vYoOREFLgZCogC3detWn7Y/dOhQXLp0CVOmTEFO\\\n",
       "Tg66du2KDRs2yJPCnDlzxmx0pFevXvjqq6/w+uuv49VXX0WbNm2wevVqdOrUSa7z8ssvo7S0FE88\\\n",
       "8QQKCwtx6623YsOGDdDpdG73z9mNmFarDejfjte1G82oqCibi9dX69Wrl93ZYu0FKledO3euRsfX\\\n",
       "hEajsfv3yJ3RyOzsbIbCABHogZATbxGRqxgIicip8ePH231E1NbENQ8++CAefPBBu+1JkoQZM2bY\\\n",
       "XUqA/qf6vbr4+Hh/dwXAtZvMoKAgLFy4EGfOnMG8efNQWlrqUuguLS1FeHi4R+fV6/V+n6Dliy++\\\n",
       "wIgRI8zKPOlTdnY2OnXqhCNHjnira+QDgRoIhRByfzQaDQwGQ53qHxHVPZxUhigA3X333di7d6/T\\\n",
       "eiUlJXj33Xedvv9EdVtcXFydGuU0Go148skn8fbbb+Pq1asu981yqRFbbrjhBrOJOtq3b4/bb7+9\\\n",
       "Trw/OnLkSKuy6key3fXbb7+hV69eNe0SkU3VkzXp9XpMmjRJLp87d67/OkVEdRZHCIkC0IMPPogh\\\n",
       "Q4YgKioK9957L7p3746kpCTodDoUFBTg6NGj2LVrF9avX4+BAwfivffe83eXyQvatGmDEydO+Lsb\\\n",
       "HisrK8PFixfRqFEjm/vVajVMJpNZ2bFjx3Ds2LHa6J5LunbtisOHD8ufLfvrjj179uCf//wnnnzy\\\n",
       "SS/0jLwtUEcILb3zzjt45513/N0NIqrDGAiJAtCYMWMwfPhwrFq1CitXrsTHH38sv9clSRI6dOiA\\\n",
       "9PR0/PLLL1x7rB45duwY1Gq1v7tRI0lJSaisrLRa13D48OE1Cle15ddffzX73LBhwxq199RTTzEQ\\\n",
       "1lH1JRASETnDQEgUoLRaLYYPH47hw4cDAIqKilBeXo64uDhoNBo/9458wZWlGQKBVqvFsWPHcMMN\\\n",
       "NwC49m7h8uXL/dwr14WFhaG0tBRAzSfKAYBhw4bh66+/rnE75F0MhESkFPXj7oKIEBUVhcTERIZB\\\n",
       "BZIkCSaTSX5vKCsrSx5J1Gg02LVrF0wmEwwGA8LCwsyOjY6OhsFgQFlZWa3e1LZr1w4qlQphYWEe\\\n",
       "TzTjK0FBQThz5gw++eQTm/vLysqQmZkJ4NqanzVVFxatJ2v1YWF6IiJXMBASEdVhoaGhSEhIwF13\\\n",
       "3YXOnTvbrPPUU0+Z3ZC2a9cOVVVV8qQSvXv3hiRJCAoKMpuKfvny5SgoKEBQUBBCQkJq/ZFNIQTK\\\n",
       "yspq9ZzOXLlyBQaDAcnJyXjsscfsTpjTvXt3SJJk931Id3hrwqBz584hLi4OPXv29Ep7SufrQMhg\\\n",
       "SUR1BQMhEVEdVl5ejry8PGzcuNHuMgWLFi2yu2C7pYqKCvnnZcuWeaWPgaa8vFweTRVC4OOPP0ar\\\n",
       "Vq1QVFSE2NhYq/q1sTzElStX3KpfXFyMGTNmoGfPnggNDYUkSUhOTkZ+fj72798vP45LdZPlSD0R\\\n",
       "kT8xEBIR1QNxcXGQJMlpsOjUqZP884YNG1BVVSV/Li8v91n/vGnAgAGYOXOmR+9UlpWVQafTmZWN\\\n",
       "HTsWf/zxByIjI20e07FjR59P5tOgQQOX6h09ehSSJCEqKgpTp07F/v37bf65/f7773bbcHfkqy5u\\\n",
       "lZWVZqHe1lZTvhwhrB4Z90W/iYjcxUBIRFSPxMfHY8KECXb3nzp1yuyzRqOBWq2GRqNBaGioj3tX\\\n",
       "cyUlJVi3bh0mT54Mo9GI4uJil2/GW7VqhZCQEI/Oe31w9oXqxcS1Wi06dOiAzz77DJWVlfL+srIy\\\n",
       "BAUFoWPHjj7tB/1PbbxDyMdFiaguYCAkCnAjR47Ejh07/N0NqkPmzZsnL0NyPXujhyaTyePAo9Vq\\\n",
       "UVxcjKtXr6JJkyYeteGqV1991WoCmoiICLMJdQwGA6qqqmA0GlFUVITU1FSo1Wo0adIEf/zxR43O\\\n",
       "P2DAgBod7wq9Xo+srCw89thj0Ol0clAICwuD0Wj0+fnpfzwJhAUFBYiNjZW3/v37u31OIqLaxkBI\\\n",
       "FOCKioqQlpaGNm3aYObMmTh//ry/u0R1QHR0NC5fvix/NhqNiI+P9+o5dDodKioqEBERgbCwMJw9\\\n",
       "exZ6vR5PPfUUWrdujZiYGLfaCwoKwsmTJ2EymWA0GnH48GE0bdoUMTExOH78ON5++22X2lCr1VCp\\\n",
       "VIiMjERGRgaqqqpw9uxZTy9Ttm7dOrv75s+fLwdTo9GI//znP3Xy5j4Q1nqsKzwdISwoKJC3TZs2\\\n",
       "OTwHHxUlorqAgZAowK1evRrnz5/H008/jZUrV6J58+b4y1/+gm+//RYGg8Hf3SM/atCgAY4cOYJL\\\n",
       "ly5ZvTfnDbZClkajwaJFi3DixAnk5+ejuLgYWq3WaVsNGzaEXq9Hy5YtIUkSVCoVbrzxRmRnZyM/\\\n",
       "Px9t27b1ev89ERwcbFUWFBSEcePGyaFApVLh7rvvxtWrV2u7e2Zs/ff/22+/+aEngcnTQBgTEyNv\\\n",
       "aWlpfrwCIiLXMBAS1QMNGjTAxIkT8euvv2Lfvn1o3bo1Hn30USQlJeGFF17AiRMn/N1F8pPOnTuj\\\n",
       "YcOGHj8SGhwcbDMEZWRkuDTiGBERgYqKClRVVdmcBCY+Ph5CCOTm5taZETVHozXXv9dXzd4vXkJD\\\n",
       "Qx221aRJE+j1elRUVCAqKsr9jjph631JX5yH/icmJgb5+fnytnHjRn93iYjIKQZConrk4sWL2Lhx\\\n",
       "IzZu3Ai1Wo0BAwbgv//9Lzp06IAPP/zQ392jAHLy5EkIIVBZWWk2o6PRaIQQAqmpqW61p1ar5WNz\\\n",
       "cnJQXFwMIQQuXbrkoyvwTPXopCRJGDNmjM06QggcOXIEu3fvdulRPyGEVRguKyvD2bNnodFooNVq\\\n",
       "UVhYiIKCAq9cQ7Xq9yiv17RpU6+eoz6r7UlliIj8hYGQKMAZDAb8+9//xj333INmzZph1apVmDBh\\\n",
       "Ai5cuIDPP/8cmzZtwjfffIMZM2b4u6tUhzVt2hR5eXly8GvZsqXNep4s9WApISEBERERNW7HHQaD\\\n",
       "wen7c5YjoZ9++qnduh07dkSvXr1cPr/RaERlZSWuXr0KIYTN0bvo6GgIIbBhwwaX23XmkUce8Vpb\\\n",
       "SuPLQGjvFwl8l5CI/CHI3x0goppp1KgRTCYThg0bhv3796Nr165Wde68805ER0fXet+o7ouNjXV7\\\n",
       "UfRAs2fPHjm8SZJkNxjaevRTkiSv3aTbe/zWUnp6unzOqqoq6HQ6j2cYXbZsmUfH0TW+HLlj+COi\\\n",
       "uoIjhEQB7sMPP8SFCxewYMECm2EQuDbyYLn+HBEAHD582N9d8Ln09HT5ZyEEbr/9dpv1nn/+eZvl\\\n",
       "v/76q0/65YqgoCBUVVV5HEzcnemV/qc2HhklIqoLGAiJAtyjjz7qkxkkSRmmTJni7y74nOUspzt3\\\n",
       "7rRZb+7cuTYfif3555+tyh577DE0bdoUFy9e9E4nnXC05IU99kZCr1/qIFA3rVbr84DGQEhESsFA\\\n",
       "SERUh/Xp0wdBQb57un/p0qU+a7s2ZGdnY/jw4Q4fqTx9+rTL7RmNRsyZM0f+rNPp8NJLL8mfTSYT\\\n",
       "JEnCZ599hrNnzyIpKQmSJEGv13vUf1ddP8ppjyRJCAoKwnPPPQchBENKDTEQEpFSMBASEdVh27Zt\\\n",
       "g8Fg8PgdMldoNBqH+xs3bizf9A4bNsxuvbKyMjRp0gRxcXEYOXIklixZgtatW9u8eZ4/fz6MRiOM\\\n",
       "RiM+//xzeWbP6s2VGTfj4+PRvHlzLF++HEFBQXZvysPCwtyaDOeFF16QR6LKy8vN9n388cc2j9Fq\\\n",
       "tWjfvr3L53CXvf4///zzcl9NJhMMBgPmzZvns34QEVH9w0BIRBQAVCqVzyahqKqqwp9//mlz308/\\\n",
       "/YQLFy7In1esWGHzHbzk5GSEhYXh/PnzyM/PxxdffIGxY8fi5MmTNtt99tlnERQUhKCgIIwaNcrq\\\n",
       "2mJjY1FYWOiw37Ymw9m6davNukajUX60OiwszGG7jgwZMsTuvmPHjkGSJKsQ6S133nmn2Wej0Yi5\\\n",
       "c+f65FzEEUIiUg4GQiKiAJKbm+uTdtu0aWOzfMCAAVZllu/glZeX49y5c17vkycTovz4449295WX\\\n",
       "l8NoNOLq1ase96lBgwZO64SGhsohQaVSQaVSISgoCHfffbfTpS8c2bJlCyoqKuR1Ib2xBAjZx0BI\\\n",
       "RErBf02IiAJIw4YNfdKuvaBir/z6EcWoqCif9MkT77//vsP93ghRH330kct1qx/nNBqN+Omnn6BW\\\n",
       "qzF69GiPz63Val1auoJqjoGQiJSCgZCIiNy2a9cu+Wdb6/d5i6PJWp588kn55+DgYJw9e7ZWbsyf\\\n",
       "ffbZGh3/+eef1+oadCaTCUePHkXTpk05qugGBkIiUgr+y0BEFEBWrVrl7y4AAO655x6X6lW/J+iI\\\n",
       "o5tpRxPeLF68GCaTCUIIVFZWokmTJi71yd8OHTrk8wARHx8vBxW1Wo2OHTvi7NmzXAzdDQyERKQU\\\n",
       "DIRERAHE0SyftcmVx0S1Wi30ej30ej2ee+45q/39+/eHwWBAVVUVJk6caLMNZzfagXYj3qdPH9x4\\\n",
       "440+PUdUVJTNCXeIiIhsYSAkIgoQCQkJPl1+4vr19gA4HNlTq9Xyz/ZCWUVFhTx6Mm/ePKvFxX/+\\\n",
       "+WcEBQVBpVLhgw8+kN+1W7duHU6dOlVnR7M87de2bduwbds273bGgiRJKC4u9uk5lIIjhESkFAyE\\\n",
       "RER1WEJCgrzGXl5enk/P9f777yMoKAg33HADJElyOXzaCkiuLKRui0qlwoABA9C8eXOz8p49e5rd\\\n",
       "fC9dutSj9u05efKkPBuos1lIPX0Pr0+fPh4dBwCVlZVO6zCUeBcDIREpBQMhEVEdlpeX59NRQUtG\\\n",
       "oxG///67wzrV6/k58uWXX3qrS6iqqsL+/fvNymoyU6clg8GA1q1byyOUERERmDp1qs26LVq08Np5\\\n",
       "XXH06FFIkgSdTgdJklBUVGSzHieL8T4GQiJSCv4LQkQUgPx5A1pSUuK0jidrCNpjGQareSsoR0ZG\\\n",
       "WpXNmDHDZt3Tp097fB5PHjXt2LGj2efo6Gjce++9Zm2qVKo6+3htIGMgJCKlYCAkIgog7dq1gxAC\\\n",
       "JpMJAwcOrPXzx8TEOJ01FDB/x7CmtFqtzXJXAqErC8FXVFR4fGy1Dz74AP/3f//ncFZUd0fx7IWM\\\n",
       "H3/80Wzhe4ZB32AgJCKlYCAkIgogWVlZ8s9r1651+bgDBw7ISzSUl5d7vJh8fn6+0zrevjm2Nyun\\\n",
       "owXaTSaTvOSCp/2xFeCOHj0q/yxJEsrLyyGEwMSJE9G5c2fo9Xqr9x+vJ0mS0wBnNBoZMIiIqNYw\\\n",
       "EBIRBZDCwkL557FjxzqtXz2jZ0pKihwydDodCgsL5ZFGV9kLMkajUQ5P69atc6tNV7gyImnJcoTS\\\n",
       "Xhtdu3a1WW5vEpf27dvL36nJZLL5PuWpU6cc9k2lUjkcafLkesn7OEJIRErBQEhEFEBiYmIwffp0\\\n",
       "3Hzzzfjkk08c1t26davT9iRJsvvIpKtUKhWMRiOEEBgwYIDV/jlz5kCSJIcjep6wF1BtBSp7j5f+\\\n",
       "+uuvVmU6na5GfT1x4oTHx7pLp9PhzJkzMBgMKC8vx/LlyxkovYSBkIiUgoGQiCjATJs2Db/88ovT\\\n",
       "enfccYdL7Wm1Wjz22GM17JVtBoMBL774ovyzN2+cQ0NDrcqWLFliN/zddtttZp/t9aW8vNzjPun1\\\n",
       "erRt29bj491RVVWF8vJyJCcnIygoCDqdDn/7299gMBj4XqEXMBASkVIwEBIRET755BObAet6riw3\\\n",
       "YclysXvA/iQx9tgbwaxe+D4tLQ3NmzeHWq12+Bjtrl275LUG7d3A12T5Bo1G4/a1eer8+fNOJ+6p\\\n",
       "zeVK6iMGQiJSCgZCIiICAJSWljq8sa2srIRarUZVVZXLbT733HNWZXq93q1+hYSEONy/efNmZGdn\\\n",
       "u/TuYvVag/a8+uqrbvUNAJo2bQpJktz6XmoqKSnJaR2uTVhzDINEpAT814KIiGR//vmnw/0mkwka\\\n",
       "jcbsZjgsLMxu/ZYtW1qVuXMD/e6777pc1xtsvf8nhMC2bduwZ88eszD5xx9/QJIknD17tja76HQk\\\n",
       "l4iIyB1885yIqJ4SQrg9erFu3Tq3z1NWVoYrV64gLi7Obj+uXy/PnUcZX3nlFbf7UxMrV67EF198\\\n",
       "IU8qUxdHf/Ly8vzdBUVwZ/SvLv49ISJyFQMhEVE9tW3bNtx5550u1c3Pz0fz5s1RUlLi0bmcvTvn\\\n",
       "yVIU3p6V1FW19R6gJ5KSkhyOyF5v3759Pu5N/cZASERKwUdGiYjqqXvuucdpnSVLlkCSJMTFxXkc\\\n",
       "BiVJQnh4uEfHOmIwGNzux969e2ttls/aFhsbi/Pnz7tcv1evXj7sTf3HSWWISCkYCImI6qmysjKH\\\n",
       "+41Go0uL2zuSkpLi9YXoAaC4uNit+mFhYaiqqkLPnj1x/Phx3HXXXTbrqVQq/POf/4RGo6lR/xYs\\\n",
       "WACj0QiTyQSj0YiqqiqYTCZ50XohhEeP3zoyd+5ct+r74s9FSRgIiUgpGAiJiOoxRxOe9OjRw+N2\\\n",
       "b7jhBgghcODAAY/bcGT27Nlu1V+/fr3ZrJo//fST1U16//79YTQa8cQTT7g90ylwLUxWVFRACIFn\\\n",
       "nnkGKpUKkiRBpVJBrVZbnW/AgAHYs2eP2+exZ+TIkS6HvMaNG3vtvErFQEhESsFASERUjzVt2tRu\\\n",
       "iDhy5IhHbW7evBnHjh2rSbecqh4NU6vVOHv2LIQQyMnJsVv/l19+sSozmUzyjJw//fQTfv75Z7P9\\\n",
       "CQkJTvuhUqlw4cIFebkKd98vvOWWW9yq74gQAmq12mmbbdu2xYULF7x2XqViICQipWAgJCKq59Rq\\\n",
       "NUaMGGFV7u47esC1m+S+ffva3W80GvH8888jIiJCHkGzt/Xu3dts7T4hBJ588klIkoTS0lJotVpU\\\n",
       "VVWhSZMmAK4FuJ07d9o870svvWRzHcDS0lIIIWw+QhoU5Hhetc8//xxGoxGNGjVyWM+ZF198sUbH\\\n",
       "W9q3b5/8HarVamg0GrPv2tbSGddzN+jUxa2ystLs8VxbGxERuYazjBIRKcCyZcuwbNky9O3bFz/9\\\n",
       "9BOaNm3qUTsfffSRzfJz584hOTnZrbYyMjIcvstna3mKlJQUm3WFENBoNG4FAXujaHFxcbh8+bLL\\\n",
       "7Tjz/vvv44MPPvBae9czmUx8V9BHOMsoESkFRwiJiBRky5Yt0Gg0uHjxokfHjx8/3qpMo9G4HQZd\\\n",
       "YWvEr3Xr1g6PUavVLoXCxx57zKre/PnzIYTwahisVl5e7vU2ybf4yCgRKQVHCImIyIparcZDDz2E\\\n",
       "oqIi/Prrr+jVqxdWrlxpVc/XN8IRERHychhz5sxx+m6cyWQym1ymmiRJ0Ol00Ov1ViOPiYmJHgdk\\\n",
       "V+l0OhiNRqjVap+eh7yHI4REpBQMhEREZKWgoAAREREO67i6QHpNXL161Ss320IIu6N0vg6D1VQq\\\n",
       "FYQQDA8BgoGQiJSCj4wSEZEVVxaad7bOodLZe3TV2+/8ffbZZ2aTqeTk5DCgeAEfGSUipeAIIRER\\\n",
       "WSktLXUpFJK1gwcPmk1+U1VVZfaoaHWA8MZMmAaDwWq21ISEBJhMJhQWFiImJqbG5yAiovqNI4RE\\\n",
       "RGSlRYsW/u5CrdHpdF5tz3ImVFvLW3hjROnq1asOl86Ijo6GEAIGgwHjxo1DbGys16+1PuMIIREp\\\n",
       "BQMhERFZ8cVMm3VVZWUlJEnCe++9hy+//BI6nc6ro3iAeQA0GAw1emxUkiSYTCaX3+EMCgrC/Pnz\\\n",
       "ceXKFc526gYGQiJSCj4ySkRENqnVaptrAQLAgQMHark3vvfyyy9blVVPBOOOhg0bIi8vz6rcG6HB\\\n",
       "8vFT8h1OKkNESsERQiIisslkMkGSJFRUVJiVv/322+jRo4dZmSRJOHHiBEwmE4xGIzIyMhAXF6fI\\\n",
       "G+Xc3FyvtxkUFAQhhFfC4PUT0ATqptVqfT5ixxFCIlIKBkIisslgMGDSpEno3LkzwsLCkJSUhBEj\\\n",
       "RjhdBw4AFixYgObNm0On06Fnz57Yv3+/2f6KigqMGzcOcXFxCA8Px5AhQ3xyE10ftGnTplaWd3Ak\\\n",
       "JCTE7Mb39ddft6pjNBrRunVrSJIElUqF1NRUXL58GSaTyepm3mQyYcWKFX64Es/YGu1zZujQoV7t\\\n",
       "g16v92p75BwDIREpBQMhEdlUVlaGgwcP4o033sDBgwfx3Xff4fjx4xg0aJDD41auXImJEydi6tSp\\\n",
       "OHjwIG688Uakp6eb3VS/8MILWLt2LVatWoXt27fjwoULuP/++319SQHp999/x9WrVyGEsBqpq0vc\\\n",
       "uSGWJAlDhw6FEMLmIvJ1zW233eb2Md4OvDV5l7GyshJjx47FjBkzcPr0ae91ioiI6oW6/y8xEflF\\\n",
       "VFQUNm7ciIceegg33HADbrnlFsyfPx+ZmZk4c+aM3ePmzJmDsWPHYvTo0ejQoQMWL16M0NBQfPrp\\\n",
       "pwCAoqIifPLJJ5gzZw769u2LlJQUfPbZZ8jIyMDevXtr6/ICklarxX333efvbnjV7t27/d0Fp/78\\\n",
       "809/dwE//PCDx8eGhoZiyZIlmDp1qqJmj60pjhASkVIwEBKRy4qKiiBJEqKjo23u1+v1yMzMRFpa\\\n",
       "mlymUqmQlpaGPXv2AAAyMzNhMBjM6rRr1w5NmzaV65B9q1evrleTitxyyy3+7oJTVVVV/u4C/vrX\\\n",
       "vyIoKAjffvutW6OFQUFBNZrRVMkYCIlIKRgIicglFRUVmDRpEoYNG4bIyEibdS5fvgyj0YiEhASz\\\n",
       "8oSEBOTk5AAAcnJyEBwcbBUqr69jS2VlJYqLi802paqqqqpzN6A16c/atWttlo8ZM0Z+71Cj0Vjt\\\n",
       "tzXZiK++l7vuusut+r7oh9FoxIMPPgiVSgVJklBSUuLSMeQ5hkEiUgIGQiICACxfvhzh4eHytnPn\\\n",
       "TnmfwWDAQw89BCEEFi1a5Jf+zZo1C1FRUfKWnJzsl37UFdUzgNYl6enpHh03cOBAm+VLliyRf7Z8\\\n",
       "f/LHH3+0eYyvRvM2btzoct3aGsG194sZ8o7aHCFkuCQif2IgJCIAwKBBg3D48GF56969O4D/hcHs\\\n",
       "7Gxs3LjR4U1ofHw81Gq11Yyhubm5SExMBAAkJiZCr9ejsLDQbh1bJk+ejKKiInk7e/ash1daf1Qv\\\n",
       "8fDaa6/ViRvJn3/+GQaDwe3jXOm75eQz9kbsfDlJzcWLF53WqV40vra8++67dvf17du31vpRH9VW\\\n",
       "IKwL/+0SkbIxEBIRACAiIgKtW7eWt5CQEDkMnjhxAps2bUJcXJzDNoKDg5GSkoLNmzfLZSaTCZs3\\\n",
       "b0ZqaioAICUlBRqNxqzO8ePHcebMGbmOLVqtFpGRkWYbXQtAb731FkwmEyorK/3dHQQHB3utreuD\\\n",
       "1ZQpU8z2FRQU2D3OVyN0SUlJdveVlZX55cZ+xowZaNasGXQ6HdRqNYKDgxEbGwuVSoWtW7fWen/q\\\n",
       "k9oIhI0bN/Zyr4mI3MdASEQ2GQwGPPDAAzhw4ACWL18Oo9GInJwc5OTkmK2J1q9fP8yfP1/+PHHi\\\n",
       "RPzrX//C559/jqysLDz99NMoLS3F6NGjAVybvXTMmDGYOHEitm7diszMTIwePRqpqakBMcFIbYuI\\\n",
       "iEDDhg3xzjvvOK0bHByMBx54oBZ65dimTZusyq5fy/Dpp58222cvuAQHB8NgMGDbtm148803zfYN\\\n",
       "GDDA7vnLy8ttlkdGRqJFixY1GkUMDw+3KouIiKj1tSKbN2+OkydPYsSIEThz5gwqKythMplgMBhQ\\\n",
       "UFBQo2UqyHMFBQWIjY2Vt/79+zusX72uK/+8iMifGAiJyKbz58/jhx9+wLlz59C1a1c0atRI3jIy\\\n",
       "MuR6J0+exOXLl+XPQ4cOxfvvv48pU6aga9euOHz4MDZs2GA20cyHH36Ie+65B0OGDMHtt9+OxMRE\\\n",
       "fPfdd7V6fYHi6tWruHTpEiZPngxJktCpUyeH9b/44ota6pl9ljfBlZWVZu8ALl68GJIkITExEY0b\\\n",
       "N7b7aKPRaERwcDDuvPNOq32HDh2ye36NRoPi4mKEh4ejbdu2qKqqghACRUVF+PPPP2E0GiGEQLNm\\\n",
       "zdy+ttLSUquRoatXr7rdDnAtXJpMJgghzEbMHdFqtRBC4NSpU2jZsqXf3ulVAk9HCAsKCuTN1i9H\\\n",
       "rm8fAHr16uXzayEicoSBkIhsat68uc1ZHIUQuOOOO+R6p0+fxrRp08yOHT9+PLKzs1FZWYl9+/ah\\\n",
       "Z8+eZvt1Oh0WLFiA/Px8lJaW4rvvvnP4/iD9z2+//YZz587Z3e/KzJM11bVrV2RkZECr1bpUPy8v\\\n",
       "z2Z5bm6uPELiLmfv6UVERKCkpATHjx+3+wjp6dOnMX36dI/OX1MhISEoKSmRQ0Hfvn0dvg8IXFtC\\\n",
       "wnJyHcD2qCXVnKeBMCYmRt6uX17Hsu1qgbAWJxHVbwyEREQBxtEMq88//7xPzy2EwKFDh5CamoqK\\\n",
       "igqXgnxdDvuW7ybWltLSUquyl19+2eEx9ibsOXjwoFf6ROY8CYQxMTHIz8+XN1dmp7UMlJIkYd68\\\n",
       "eT67LiIiSwyERET1yLp163zWtq339lwZ4bO1hmBNeXMCF38sYeLN/rdq1cprbdH/+HJSmQYNGjjc\\\n",
       "7+tf7BARXS/I3x0gIiL73J1sori42Ec9sU2SJJf6WJcnzThz5oy/uyDz5HtSqVR1+vsNVO4EPXcD\\\n",
       "oa3HqKvb4J8lEdU2jhASEREREREpFEcIiYiIiCz4coTQFo4MEpG/MBASERERWajtQEhE5C8MhERE\\\n",
       "REQWGAiJSCkYCImIiIgsMBASkVIwEBIRERFZYCAkIqXgLKNEREREREQKxRFCIiIiIgscISQipWAg\\\n",
       "JCIiIrLAQEhESsFASERERGSBgZCIlIKBkIiIiMgCAyERKQUDIREREZENDHpEpAScZZSIiIiIiEih\\\n",
       "OEJIREREZIGPjBKRUjAQEhEREVlgICQipWAgJCIiIrLAQEhESsFASERERGSBgZCIlIKBkIiIiMgC\\\n",
       "AyERKQUDIREREZEFBkIiUgouO0FERERERKRQHCEkIiIissARQiJSCgZCIiIiIgsMhESkFAyERERE\\\n",
       "RBYYCIlIKRgIiYiIiCwwEBKRUjAQEhEREVlgICQipeAso0RERERERArFEUIiIiIiCxwhJCKlYCAk\\\n",
       "IiIissBASERKwUBIREREZIGBkIiUgoGQiIiIyAIDIREpBQMhERERkQUGQiJSCs4ySkREREREpFAc\\\n",
       "ISQiIiKywBFCIlIKBkIiIiIiGxj0iEgJGAiJiIiILHCEkIiUgoGQiIiIyAIDIREpBQMhERERkQUG\\\n",
       "QiJSCgZCIiIiIgsMhESkFFx2goiIiIiISKE4QkhERERkgSOERKQUDIREREREFhgIiUgpGAiJiIiI\\\n",
       "LDAQEpFSMBASERERWWAgJCKlYCAkIiIissBASERKwVlGiYiIiIiIFIojhEREREQWfDlCaK++EMKt\\\n",
       "doiIvIEjhEREREQWqgOhq5s3tGzZ0ivtEBG5gyOERERERBZ8OUJoORKoVqthMplw6tQpt9ohIvIG\\\n",
       "BkIiqvemT5/u7y4QUYDxJBAWFBQgNjZWLk9JScHGjRudHm8ymTzrJBGRFzAQEhEREVnwdISwoKBA\\\n",
       "/nnTpk1Oj/3uu+/kn/kOIRH5AwMhERERkZfExMTIP6ekpDitP2TIEF92h4jIKQZCIiIiIguejBDG\\\n",
       "xMQgPz/frXNU4+ggEfkLZxklIpc89dRTkCQJc+fOdVp3wYIFaN68OXQ6HXr27In9+/eb7a+oqMC4\\\n",
       "ceMQFxeH8PBwDBkyBLm5uT7qORGR+3w5y2hWVhbDIBHVGQyEROTU999/j7179yIpKclp3ZUrV2Li\\\n",
       "xImYOnUqDh48iBtvvBHp6enIy8uT67zwwgtYu3YtVq1ahe3bt+PChQu4//77fXkJRERu8WUg7NCh\\\n",
       "g81zdevWzZuXQETkEgZCInLo/PnzePbZZ7F8+XJoNBqn9efMmYOxY8di9OjR6NChAxYvXozQ0FB8\\\n",
       "+umnAICioiJ88sknmDNnDvr27YuUlBR89tlnyMjIwN69e319OURELqvNNQgB4PDhw15ri4jIVQyE\\\n",
       "RGSXyWTCo48+ipdeegkdO3Z0Wl+v1yMzMxNpaWlymUqlQlpaGvbs2QMAyMzMhMFgMKvTrl07NG3a\\\n",
       "VK5DRORvvhwhFELY3YiIahsnlSEiu959910EBQXhueeec6n+5cuXYTQakZCQYFaekJCAY8eOAQBy\\\n",
       "cnIQHByM6Ohoqzo5OTl2266srERlZaX8ubi42MWrICIiIiJ7OEJIRACA5cuXIzw8XN62b9+OefPm\\\n",
       "YenSpV59JMpTs2bNQlRUlLwlJyf7u0tEVI/5coSQiKguYSAkIgDAoEGDcPjwYXnLyMhAXl4emjZt\\\n",
       "iqCgIAQFBSE7OxsvvvgimjdvbrON+Ph4qNVqqxlDc3NzkZiYCABITEyEXq9HYWGh3Tq2TJ48GUVF\\\n",
       "RfJ29uzZGl0vEZEjDIREpBR8ZJSIAAARERGIiIiQPz/xxBO49957zeqkp6fj0UcfxejRo222ERwc\\\n",
       "jJSUFGzevBmDBw8GcO09xM2bN2P8+PEAri3UrNFosHnzZnlB5uPHj+PMmTNITU212z+tVgutVluT\\\n",
       "SyQicpkn6xASEQUiBkIisikuLg5xcXFmZRqNBomJibjhhhvksn79+uGvf/2rHPgmTpyIkSNHonv3\\\n",
       "7rj55psxd+5clJaWyiEyKioKY8aMwcSJExEbG4vIyEg8++yzSE1NxS233FJ7F0hE5AADIREpBQMh\\\n",
       "EdXIyZMncfnyZfnz0KFDcenSJUyZMgU5OTno2rUrNmzYYDbRzIcffgiVSoUhQ4agsrIS6enpWLhw\\\n",
       "oT+6T0RkEwMhESmFJDjHMREFoOLiYsyZM4c3YkRk07Rp01BUVITIyEi3jouNjUVBQQEuXLjg8rHF\\\n",
       "xcVISkpCTEwM8vPzPekuEZHfcFIZIiIiIiIiheIjo0REREQW+MgoESkFAyERERGRBQZCIlIKBkIi\\\n",
       "IiIiCwyERKQUDIREREREFhgIiUgpGAiJiIiILDAQEpFScJZRIiIiIiIiheIIIREREZEFjhASkVIw\\\n",
       "EBIRERFZYCAkIqVgICQiIiKywEBIRErBQEhERERkgYGQiJSCgZCIiIjIAgMhESkFZxklIiIiIiJS\\\n",
       "KI4QElFAEkL4uwtEVMfV5P8nSkpKXB75Kykp8fg8RET+xkBIRAGppKQE06dP93c3iKgOKykpQVRU\\\n",
       "lFvHtG/fHhkZGUhOTnb7fO3bt3f7GCIif5MEf81ORAHIZDLhwoULiIiIUPT7O8XFxUhOTsbZs2cR\\\n",
       "GRnp7+74Db+Ha/g9XCOEQElJCZKSkqBSuf92TO/evZGVleXWMe3bt8fu3bvdPhcRkb8xEBIRBbDi\\\n",
       "4mJERUWhqKhI0QGA38M1/B6IiMhdnFSGiIiIiIhIoRgIiYiIiIiIFIqBkIgogGm1WkydOhVardbf\\\n",
       "XfErfg/X8HsgIiJ38R1CIiIiIiIiheIIIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEdUh\\\n",
       "BoMBkyZNQufOnREWFoakpCSMGDECFy5ccHrsggUL0Lx5c+h0OvTs2RP79+83219RUYFx48YhLi4O\\\n",
       "4eHhGDJkCHJzc311KTXi7FosrVq1Cu3atYNOp0Pnzp2xfv16s/1CCEyZMgWNGjVCSEgI0tLScOLE\\\n",
       "CV9eQo3NmjULPXr0QEREBBo2bIjBgwfj+PHjTo+rj98FERH5DgMhEVEdUlZWhoMHD+KNN97AwYMH\\\n",
       "8d133+H48eMYNGiQw+NWrlyJiRMnYurUqTh48CBuvPFGpKenIy8vT67zwgsvYO3atVi1ahW2b9+O\\\n",
       "Cxcu4P777/f1JbnNlWu5XkZGBoYNG4YxY8bg0KFDGDx4MAYPHowjR47IdWbPno2PPvoIixcvxr59\\\n",
       "+xAWFob09HRUVFTU1mW5bfv27Rg3bhz27t2LjRs3wmAw4K677kJpaandY+rrd0FERD4kiIioTtu/\\\n",
       "f78AILKzs+3Wufnmm8W4cePkz0ajUSQlJYlZs2YJIYQoLCwUGo1GrFq1Sq6TlZUlAIg9e/b4rvMe\\\n",
       "cHYtlh566CExcOBAs7KePXuKJ598UgghhMlkEomJieK9996T9xcWFgqtViu+/vprH1yBb+Tl5QkA\\\n",
       "Yvv27XbrKOW7ICIi7+EIIRFRHVdUVARJkhAdHW1zv16vR2ZmJtLS0uQylUqFtLQ07NmzBwCQmZkJ\\\n",
       "g8FgVqddu3Zo2rSpXKcucOVaLO3Zs8esPgCkp6fL9U+dOoWcnByzOlFRUejZs2edunZnioqKAACx\\\n",
       "sbF26yjluyAiIu9hICQiqsMqKiowadIkDBs2DJGRkTbrXL58GUajEQkJCWblCQkJyMnJAQDk5OQg\\\n",
       "ODjYKlReX6cucOVaLOXk5Di99uoyV9usa0wmEyZMmIDevXujU6dOdusp4bsgIiLvYiAkIvKj5cuX\\\n",
       "Izw8XN527twp7zMYDHjooYcghMCiRYv82Evyt3HjxuHIkSNYsWKFv7tCRET1TJC/O0BEpGSDBg1C\\\n",
       "z5495c+NGzcG8L8wmJ2djS1bttgdHQSA+Ph4qNVqqxlDc3NzkZiYCABITEyEXq9HYWGh2Sjh9XXq\\\n",
       "AleuxVJiYqLTa68ua9SokVmdrl27erH3vjF+/Hj8+OOP2LFjB5o0aeKwbn3/LoiIyPs4QkhE5EcR\\\n",
       "ERFo3bq1vIWEhMhh8MSJE9i0aRPi4uIcthEcHIyUlBRs3rxZLjOZTNi8eTNSU1MBACkpKdBoNGZ1\\\n",
       "jh8/jjNnzsh16gJXrsVSamqqWX0A2Lhxo1y/RYsWSExMNKtTXFyMffv21alrtySEwPjx4/H9999j\\\n",
       "y5YtaNGihdNj6ut3QUREPuTvWW2IiOh/9Hq9GDRokGjSpIk4fPiwuHjxorxVVlbK9fr27Sv+8Y9/\\\n",
       "yJ9XrFghtFqtWLp0qTh69Kh44oknRHR0tMjJyZHrPPXUU6Jp06Ziy5Yt4sCBAyI1NVWkpqbW6vW5\\\n",
       "wtm1PProo+KVV16R6+/evVsEBQWJ999/X2RlZYmpU6cKjUYj/vvf/8p13nnnHREdHS3WrFkj/u//\\\n",
       "/k/cd999okWLFqK8vLzWr89VTz/9tIiKihLbtm0z+3tQVlYm11HKd0FERL7DQEhEVIecOnVKALC5\\\n",
       "bd26Va7XrFkzMXXqVLNj//GPf4imTZuK4OBgcfPNN4u9e/ea7S8vLxfPPPOMiImJEaGhoeKvf/2r\\\n",
       "uHjxYi1clfscXUufPn3EyJEjzep/8803om3btiI4OFh07NhRrFu3zmy/yWQSb7zxhkhISBBarVb0\\\n",
       "69dPHD9+vDYuxWP2/h589tlnch2lfBdEROQ7khBC+GdskoiIiIiIiPyJ7xASEREREREpFAMhERER\\\n",
       "ERGRQjEQEhERERERKRQDIRERERERkUIxEBIRERERESkUAyEREREREZFCMRASEREREREpFAMhERER\\\n",
       "ERGRQjEQEhFRQPjkk09w1113+fw8GzZsQNeuXWEymXx+LiIiIn9jICQiojqvoqICb7zxBqZOnerz\\\n",
       "c919993QaDRYvny5z89FRETkbwyERERU53377beIjIxE7969a+V8o0aNwkcffVQr5yIiIvInBkIi\\\n",
       "Iqo1ly5dQmJiImbOnCmXZWRkIDg4GJs3b7Z73IoVK3Dvvfeald1xxx2YMGGCWdngwYMxatQo+XPz\\\n",
       "5s3x1ltvYcSIEQgPD0ezZs3www8/4NKlS7jvvvsQHh6OLl264MCBA2bt3HvvvThw4ABOnjzp+cUS\\\n",
       "EREFAAZCIiKqNQ0aNMCnn36KadOm4cCBAygpKcGjjz6K8ePHo1+/fnaP27VrF7p37+7ROT/88EP0\\\n",
       "7t0bhw4dwsCBA/Hoo49ixIgRGD58OA4ePIhWrVphxIgREELIxzRt2hQJCQnYuXOnR+ckIiIKFAyE\\\n",
       "RERUqwYMGICxY8fikUcewVNPPYWwsDDMmjXLbv3CwkIUFRUhKSnJ4/M9+eSTaNOmDaZMmYLi4mL0\\\n",
       "6NEDDz74INq2bYtJkyYhKysLubm5ZsclJSUhOzvbo3MSEREFCgZCIiKqde+//z6qqqqwatUqLF++\\\n",
       "HFqt1m7d8vJyAIBOp/PoXF26dJF/TkhIAAB07tzZqiwvL8/suJCQEJSVlXl0TiIiokDBQEhERLXu\\\n",
       "5MmTuHDhAkwmE06fPu2wblxcHCRJQkFBgdN2jUajVZlGo5F/liTJbpnlMhP5+flo0KCB03MSEREF\\\n",
       "MgZCIiKqVXq9HsOHD8fQoUPx5ptv4vHHH7canbtecHAwOnTogKNHj1rts3zM888///RKHysqKnDy\\\n",
       "5El069bNK+0RERHVVQyERERUq1577TUUFRXho48+wqRJk9C2bVs89thjDo9JT0/Hrl27rMrXrFmD\\\n",
       "7777DidPnsTbb7+No0ePIjs7G+fPn69RH/fu3QutVovU1NQatUNERFTXMRASEVGt2bZtG+bOnYtl\\\n",
       "y5YhMjISKpUKy5Ytw86dO7Fo0SK7x40ZMwbr169HUVGRWfnAgQMxe/ZsdOjQATt27MDChQuxf/9+\\\n",
       "LFu2rEb9/Prrr/HII48gNDS0Ru0QERHVdZK4fp5tIiKiOurBBx/ETTfdhMmTJwO4tg5h165dMXfu\\\n",
       "XK+e5/Lly7jhhhtw4MABtGjRwqttExER1TUcISQiooDw3nvvITw83OfnOX36NBYuXMgwSEREisAR\\\n",
       "QiIiCki+GiEkIiJSEgZCIiIiIiIiheIjo0RERERERArFQEhERERERKRQDIREREREREQKxUBIRERE\\\n",
       "RESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhERERERKRQDIREREREREQKxUBIRERE\\\n",
       "RESkUAyERERERERECsVASEREREREpFAMhERERERERArFQEhERERERKRQ/w8KoBiLMqWUCgAAAABJ\\\n",
       "RU5ErkJggg==\\\n",
       "\"\n",
       "  frames[40] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAa/FJREFUeJzt3Xd4FNXiPvB3NslueiGEFAgQKdKlY2xwIRquCOSKiCiCig1B\\\n",
       "RfwqohSxoagUpV2xYEHAcBWsXCF0aULAn0gRacFAEgLJJqTtZvf8/uDJ3GzN1mw2836eZx6TM2fO\\\n",
       "nNmAzJszc44khBAgIiIiIiIixVH5ugNERERERETkGwyERERERERECsVASEREREREpFAMhERERERE\\\n",
       "RArFQEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASEREREREpFAMhERERERE\\\n",
       "RArFQEhERERERKRQDIREREREREQKxUBIRERERESkUAyERERERERECsVASERELtm6dSskScLWrVt9\\\n",
       "3RXysH379kGtVuPs2bP1fu5Lly4hLCwMP/74Y72fm4hIiRgIiYjIriVLlmDFihW+7oZLvvzySyxY\\\n",
       "sMDX3QAAGI1GzJ07FykpKQgODka3bt2watUqh48vLi7Go48+iri4OISFheEf//gHsrOzLeqtWbMG\\\n",
       "Y8aMQbt27SBJEgYMGOB0X1966SWMHj0arVq1cvpYd8XGxuLhhx/GjBkz6v3cRERKJAkhhK87QURE\\\n",
       "DVeXLl3QtGlTi5FAo9EInU4HtVoNlaph/n7xjjvuwOHDh3HmzBlfdwXTpk3Dm2++iUceeQR9+vTB\\\n",
       "+vXr8cMPP2DVqlW455577B5rNBpx880347fffsNzzz2Hpk2bYsmSJTh37hwOHDiAdu3ayXUHDBiA\\\n",
       "AwcOoE+fPjh06BC6devm1CjuoUOH0KNHD+zatQupqamuXq5bjh49ik6dOiErKwsDBw70SR+IiJSC\\\n",
       "gZCIyAFlZWUICwvzdTd8wlYg9AcNJRDm5uYiJSUFjz76KBYtWgQAEEKgf//+OH36NM6cOYOAgACb\\\n",
       "x3/11VcYNWoUMjMzcddddwEALl68iPbt2+Of//wnvvzyS7nuuXPn0Lx5c6hUKpd+dk8//TTWrVuH\\\n",
       "M2fOQJIk1y7YA7p27YoePXrgs88+81kfiIiUoGH+SpeIyItyc3Mxfvx4JCUlQaPRICUlBRMmTIBO\\\n",
       "pwMArFixApIkYdu2bXjiiSfQrFkztGjRQj5+yZIl6Ny5MzQaDZKSkjBx4kQUFxebnOPEiRMYMWIE\\\n",
       "EhISEBwcjBYtWuCee+6BVquV62zcuBE33XQToqOjER4ejmuvvRYvvvhinf135LiqqirMmjULbdu2\\\n",
       "hUajQXJyMp5//nlUVVVZtPfFF1+gb9++CA0NRUxMDG655Rb8/PPPAIDWrVvjjz/+wLZt2yBJkskj\\\n",
       "iLbeIczMzESvXr0QEhKCpk2bYsyYMcjNzTWp88ADDyA8PBy5ubnIyMhAeHg44uLi8H//938wGAx1\\\n",
       "fgbr16/HkCFD5J9hmzZt8Oqrr5ocO2DAAPzwww84e/as3PfWrVvbbPOBBx6Q65lvL7/8cp19qqu/\\\n",
       "er0eTzzxhFwmSRImTJiAv//+G7t377Z7/Nq1axEfH48777xTLouLi8Pdd9+N9evXm/xck5OT3Rqx\\\n",
       "XbduHQYOHGgRBm19Dq1bt8YDDzwgf1/z92fnzp146qmnEBcXh+joaDz22GPQ6XQoLi7G2LFjERMT\\\n",
       "g5iYGDz//POw9rvpW2+9Fd99953VfURE5DmBvu4AEVF9On/+PPr27Su/j9WhQwfk5uZi7dq1KC8v\\\n",
       "h1qtlus+8cQTiIuLw8yZM1FWVgYAePnllzF79mykpaVhwoQJOH78OJYuXYpff/0Vv/zyC4KCgqDT\\\n",
       "6ZCeno6qqio8+eSTSEhIQG5uLr7//nsUFxcjKioKf/zxB+644w5069YNr7zyCjQaDf766y/88ssv\\\n",
       "dvvvyHFGoxHDhg3Dzp078eijj6Jjx474/fffMX/+fPz5559Yt26dXHf27Nl4+eWXccMNN+CVV16B\\\n",
       "Wq3G3r17sXnzZtx2221YsGABnnzySYSHh+Oll14CAMTHx9vs34oVK/Dggw+iT58+mDNnDvLz87Fw\\\n",
       "4UL88ssvOHjwIKKjo+W6BoMB6enp6NevH9555x1s2rQJ7777Ltq0aYMJEybY/RxWrFiB8PBwTJky\\\n",
       "BeHh4di8eTNmzpyJkpISvP322wCuvgen1Wrx999/Y/78+QCA8PBwm20+9thjSEtLMynbsGEDVq5c\\\n",
       "iWbNmsllhYWFdvtWIyIiAhqNBgBw8OBBhIWFoWPHjiZ1+vbtK++/6aabbLZ18OBB9OzZ0yLo9e3b\\\n",
       "Fx988AH+/PNPdO3a1aF+2ZObm4ucnBz07NnT7bZq/uzPnj0be/bswQcffIDo6Gjs2rULLVu2xBtv\\\n",
       "vIEff/wRb7/9Nrp06YKxY8eaHN+rVy/Mnz8ff/zxB7p06eJ2f4iIyAZBRKQgY8eOFSqVSvz6668W\\\n",
       "+4xGoxBCiE8++UQAEDfddJOorq6W9xcUFAi1Wi1uu+02YTAY5PJFixYJAOLjjz8WQghx8OBBAUBk\\\n",
       "Zmba7Mf8+fMFAHHx4kWn+u/IcZ9//rlQqVRix44dJuXLli0TAMQvv/wihBDixIkTQqVSiX/9618m\\\n",
       "1yPE/z4LIYTo3Lmz6N+/v8V5tmzZIgCILVu2CCGE0Ol0olmzZqJLly6ioqJCrvf9998LAGLmzJly\\\n",
       "2bhx4wQA8corr5i02aNHD9GrVy/7H4IQory83KLsscceE6GhoaKyslIuGzJkiGjVqlWd7Vlz4sQJ\\\n",
       "ERUVJW699VaTPwcAHNo++eQTk35cc801FucoKysTAMQLL7xgty9hYWHioYcesij/4YcfBACxYcMG\\\n",
       "q8fZ+tnZsmnTJgFAfPfddxb7AIhZs2ZZlLdq1UqMGzdO/r7m7096errJn6PU1FQhSZJ4/PHH5bLq\\\n",
       "6mrRokULq33ctWuXACDWrFnjcP+JiMh5fGSUiBTDaDRi3bp1GDp0KHr37m2x3/wRuUceecTkva5N\\\n",
       "mzZBp9Nh8uTJJiM1jzzyCCIjI/HDDz8AAKKiogAA//3vf1FeXm61LzUjZevXr4fRaHT4Ghw5LjMz\\\n",
       "Ex07dkSHDh1QWFgobzWTc2zZsgXA1UcDjUYjZs6caTHy5Mq7Y/v370dBQQGeeOIJBAcHy+VDhgxB\\\n",
       "hw4d5M+ntscff9zk+5tvvhmnTp2q81whISHy16WlpSgsLMTNN9+M8vJyHDt2zOm+mysrK8O//vUv\\\n",
       "xMTEYNWqVSZ/DjZu3OjQlp6eLh9TUVEhjxbWVvM5VVRU2O2Pu8c76tKlSwCAmJgYt9saP368yZ+j\\\n",
       "fv36QQiB8ePHy2UBAQHo3bu31Z95TR8cHZElIiLX8JFRIlKMixcvoqSkxOHHz1JSUky+r1mT7dpr\\\n",
       "rzUpV6vVuOaaa+T9KSkpmDJlCubNm4eVK1fi5ptvxrBhwzBmzBg5LI4aNQoffvghHn74YbzwwgsY\\\n",
       "NGgQ7rzzTtx111123/9y5LgTJ07g6NGjiIuLs9pGQUEBAODkyZNQqVTo1KmTQ59HXWx9PgDQoUMH\\\n",
       "7Ny506QsODjYoo8xMTEoKiqq81x//PEHpk+fjs2bN6OkpMRkX+33NF31yCOP4OTJk9i1axdiY2NN\\\n",
       "9pk/VuqIkJAQq+9vVlZWyvu9ebyzhAfe22vZsqXJ9zV/9pOTky3Krf3Ma/rgy4ltiIiUgIGQiMgG\\\n",
       "d26y3333XTzwwANYv349fv75Zzz11FOYM2cO9uzZgxYtWiAkJATbt2/Hli1b8MMPP2DDhg1Ys2YN\\\n",
       "Bg4ciJ9//tnmjJOOHGc0GtG1a1fMmzfPahvmN+S+Ym9WTXuKi4vRv39/REZG4pVXXkGbNm0QHByM\\\n",
       "7OxsTJ061akRV2sWLlyIVatW4YsvvkD37t0t9ufl5TnUTlRUlPxnKDExEVu2bIEQwiTgXLhwAQCQ\\\n",
       "lJRkt63ExES5bm2OHu+omvDrSCivYSs82vr5Wiu31kZNH5o2bepwX4iIyHl8ZJSIFCMuLg6RkZE4\\\n",
       "fPiwS8fXLNJ9/Phxk3KdTofTp09bLOLdtWtXTJ8+Hdu3b8eOHTuQm5uLZcuWyftVKhUGDRqEefPm\\\n",
       "4ciRI3j99dexefNm+ZFOW+o6rk2bNrh8+TIGDRqEtLQ0i61mBK9NmzYwGo04cuSI3fM5OkJj6/Op\\\n",
       "KfPUIudbt27FpUuXsGLFCjz99NO44447kJaWZvUxR2dHl3bs2IH/+7//w+TJk3HfffdZrZOYmOjQ\\\n",
       "tmbNGvmY7t27o7y8HEePHjVpa+/evfJ+e7p3747s7GyLsLt3716Ehoaiffv2Tl2nLR06dAAAnD59\\\n",
       "2ur+0tJSi7KaEWdPq+mD+UQ8RETkWQyERKQYKpUKGRkZ+O6777B//36L/XU9JpeWlga1Wo333nvP\\\n",
       "pO5HH30ErVaLIUOGAABKSkpQXV1tcmzXrl2hUqnkx/4uX75s0X5NKLD2aGANR467++67kZubi+XL\\\n",
       "l1vUraiokGdMzcjIgEqlwiuvvGIRNGpfX1hYmMWyGtb07t0bzZo1w7Jly0yu4aeffsLRo0flz8dd\\\n",
       "NSNMtfuo0+mwZMkSi7phYWEOP0J64cIF3H333bjpppvkmUqtceUdwuHDhyMoKMikj0IILFu2DM2b\\\n",
       "N8cNN9xg0o9jx45Br9fLZXfddRfy8/Px9ddfy2WFhYXIzMzE0KFDrb5f6IrmzZsjOTnZ6t8PABZL\\\n",
       "jPz000+orKz0ytIQBw4cQFRUFDp37uzxtomI6H/4yCgRKcobb7yBn3/+Gf3795eXZLhw4QIyMzOx\\\n",
       "c+dOk2URzMXFxWHatGmYPXs2Bg8ejGHDhuH48eNYsmQJ+vTpgzFjxgAANm/ejEmTJmHkyJFo3749\\\n",
       "qqur8fnnnyMgIAAjRowAALzyyivYvn07hgwZglatWqGgoABLlixBixYt7C4/4Mhx999/P7766is8\\\n",
       "/vjj2LJlC2688UYYDAYcO3YMX331Ff773/+id+/eaNu2LV566SW8+uqruPnmm3HnnXdCo9Hg119/\\\n",
       "RVJSEubMmQPg6vT/S5cuxWuvvYa2bduiWbNm8gQ1tQUFBeGtt97Cgw8+iP79+2P06NHyshOtW7fG\\\n",
       "M8884+qPzcQNN9yAmJgYjBs3Dk899RQkScLnn39uNZT06tULa9aswZQpU9CnTx+Eh4dj6NChVtt9\\\n",
       "6qmncPHiRTz//PNYvXq1yb5u3bqhW7duAFx7h7BFixaYPHky3n77bej1evTp0wfr1q3Djh07sHLl\\\n",
       "SpPHKKdNm4ZPP/0Up0+fltdNvOuuu3D99dfjwQcfxJEjR9C0aVMsWbIEBoMBs2fPNjnX9u3bsX37\\\n",
       "dgBX35stKyvDa6+9BgC45ZZbcMstt9jt6/Dhw/HNN99YPN4KAEePHsXtt9+OYcOG4fz581i4cCGi\\\n",
       "oqKwa9curFq1CqNHj3b6s7Fl48aNGDp0KN8hJCLyNl9MbUpE5Etnz54VY8eOFXFxcUKj0YhrrrlG\\\n",
       "TJw4UVRVVQkh/jdtvrWlKYS4usxEhw4dRFBQkIiPjxcTJkwQRUVF8v5Tp06Jhx56SLRp00YEBweL\\\n",
       "Jk2aiH/84x9i06ZNcp2srCwxfPhwkZSUJNRqtUhKShKjR48Wf/75p92+O3qcTqcTb731lujcubPQ\\\n",
       "aDQiJiZG9OrVS8yePVtotVqTuh9//LHo0aOHXK9///5i48aN8v68vDwxZMgQERERIQDISwSYLztR\\\n",
       "Y82aNXJ7TZo0Effdd5/4+++/TeqMGzdOhIWFWVzfrFmzhCP/NP3yyy/i+uuvFyEhISIpKUk8//zz\\\n",
       "4r///a9Ff65cuSLuvfdeER0dLQDYXYKif//+NpeQsLbcgrMMBoN44403RKtWrYRarRadO3cWX3zx\\\n",
       "hUW9miU5Tp8+bVJ++fJlMX78eBEbGytCQ0NF//79rf4ZrfkMXb2O7OxsAcBi2RIAYsqUKWLkyJEi\\\n",
       "JCREJCYmikWLFolly5aJ0NBQ8fDDDwshbP/9qemX+ZIp1v4sHD16VAAw+TtDRETeIQnhhec8iIiI\\\n",
       "yG8NGjQISUlJ+Pzzz+UySZIwa9YsvPzyy14//+TJk7F9+3YcOHCAI4RERF7GdwiJiIjIxBtvvIE1\\\n",
       "a9bIS4nUp0uXLuHDDz/Ea6+9xjBIRFQP+A4hERERmejXrx90Op1Pzh0bG4srV6745NxERErEEUIi\\\n",
       "IiIiIiKF4gghERER1YlTDhARNU4cISQiIiIiIlIoBkIiIiIiIiKF4iOjROSXjEYjzp8/j4iICM5E\\\n",
       "SEQmhBAoLS1FUlISVCrnf/edmpqKY8eOOXVMhw4dsHv3bqfPRUTka1yHkIj80t9//40PP/zQ190g\\\n",
       "ogZq9uzZOHfuHFq0aOHUcampqdizZ49L57z++usZConI73CEkIj8UkREBABwdJCIbKr5/4QznB0Z\\\n",
       "dPVYa//vqvkd/UMPPYRPPvnE6nH8PT4ReRoDIRH5JQZBIqqLu/+fcPR4T4e0tWvXerQ9IiJ7GAiJ\\\n",
       "iIiIzEiS5FSgdDYU1q5vfp6SkhKr/an5L0cJiciTOMsoERERkZmaQOjoBgDFxcWIiYmRt0GDBnm8\\\n",
       "X9HR0R5vk4iUjSOERERERGacHSGsUVxcLH+9efNmj/QlNTVV/rqoqMgjbRIR1WAgJCIiIjLjaiCs\\\n",
       "PYLXs2dPt/vx0EMPybOecnSQiLyBgZCIiIjIjCuBMDo62qMjeLVnGw0MDOToIBF5Bd8hJCIiImpg\\\n",
       "aodBSZKg1+t93CMiaqwYCImIiIjMuDKpjDMSExMtjq353nwdQiGEvO/OO+/0yPUREdXgI6NERERE\\\n",
       "ZlwNeo7Ky8uzuc/WovQA8M0333ijO0SkYAyERERERGa8HQi5liARNRQMhERERERmvB0IiYgaCgZC\\\n",
       "IiIiIjMMhESkFJxUhoiIiIiISKE4QkhERERkhiOERKQUHCEkIoe9+eabkCQJkydPtlsvMzMTHTp0\\\n",
       "QHBwMLp27Yoff/zRZL8QAjNnzkRiYiJCQkKQlpaGEydOeLHnRETO8fayE0REDQUDIRE55Ndff8W/\\\n",
       "//1vdOvWzW69Xbt2YfTo0Rg/fjwOHjyIjIwMZGRk4PDhw3KduXPn4r333sOyZcuwd+9ehIWFIT09\\\n",
       "HZWVld6+DCIihzAQEpFSMBASUZ2uXLmC++67D8uXL0dMTIzdugsXLsTgwYPx3HPPoWPHjnj11VfR\\\n",
       "s2dPLFq0CMDV0cEFCxZg+vTpGD58OLp164bPPvsM58+fx7p16+rhaoiI6sZASERKwUBIRHWaOHEi\\\n",
       "hgwZgrS0tDrr7t6926Jeeno6du/eDQA4ffo08vLyTOpERUWhX79+ch1rqqqqUFJSYrIREXkLAyER\\\n",
       "KQUDIRHZtXr1amRnZ2POnDkO1c/Ly0N8fLxJWXx8PPLy8uT9NWW26lgzZ84cREVFyVtycrIzl0FE\\\n",
       "REREVjAQEpFN586dw9NPP42VK1ciODjYp32ZNm0atFqtvJ07d86n/SGixo0jhESkFFx2gohsOnDg\\\n",
       "AAoKCtCzZ0+5zGAwYPv27Vi0aBGqqqoQEBBgckxCQgLy8/NNyvLz85GQkCDvrylLTEw0qdO9e3eb\\\n",
       "fdFoNNBoNO5eEhGRQxj0iEgpOEJIRDYNGjQIv//+Ow4dOiRvvXv3xn333YdDhw5ZhEEASE1NRVZW\\\n",
       "lknZxo0bkZqaCgBISUlBQkKCSZ2SkhLs3btXrkNE1BBwdJCIlIAjhERkU0REBLp06WJSFhYWhtjY\\\n",
       "WLl87NixaN68ufyO4dNPP43+/fvj3XffxZAhQ7B69Wrs378fH3zwAQDI6xi+9tpraNeuHVJSUjBj\\\n",
       "xgwkJSUhIyOjXq+PiMgWZ8IeQyER+TMGQiJyS05ODlSq/z1scMMNN+DLL7/E9OnT8eKLL6Jdu3ZY\\\n",
       "t26dSbB8/vnnUVZWhkcffRTFxcW46aabsGHDBp+/p0hEVIOBkIiUQhJCCF93gojIWSUlJZg3bx5v\\\n",
       "xIjIqpdffhlarRaRkZFOHRcTE4Pi4mI0bdrU5Jdd9hiNRhQWFiI6OhpFRUWudJeIyGf4DiERERER\\\n",
       "EZFC8ZFRIiIiIjN8ZJSIlIKBkIiIiMgMAyERKQUDIRE1erNmzfJ1F4jIg2bPnu31czAQEpFSMBAS\\\n",
       "ERERmWEgJCKlYCAkIiIiMsNASERKwVlGiYiIiIiIFIojhERERERmOEJIRErBQEhERERkhoGQiJSC\\\n",
       "gZCIiIjIDAMhESkFAyERERGRGQZCIlIKBkIiIiIiMwyERKQUnGWUiIiIiIhIoThCSERERGSGI4RE\\\n",
       "pBQMhERERERmGAiJSCkYCImIiIjMMBASkVIwEBIRERGZYSAkIqVgICQiIiKygkGPiJSAs4wSERER\\\n",
       "EREpFEcIiYiIiMzwkVEiUgoGQiIiIiIzDIREpBQMhERERERmGAiJSCkYCImIiIjMMBASkVIwEBIR\\\n",
       "ERGZYSAkIqVgICQiIiIyw0BIRErBZSeIiIiIiIgUiiOERERERGY4QkhESsFASERERGSGgZCIlIKP\\\n",
       "jBIRERGZqQmEjm6eaL+2I0eOeOQ8RER1YSAkIiIiMuPtQFiXzp07Wy1PTU31+LmISNkYCImIiIjM\\\n",
       "eDsQCiHkzdyRI0cs6kVERAAA9uzZ4/pFERFZwUBIRERE1IBYGx0sKSnxQU+ISAkYCImIiIjMuDJC\\\n",
       "WFxcjJiYGHkbNGiQj6+CiKhunGWUiIiIyIyrs4wWFxfLX2/evNnT3SIi8jgGQiIiIiIzrgbC6Oho\\\n",
       "+euePXt6ultERB7HQEhERERkxpVAGB0djaKiIrfP/ccff1i8RxgTE+N2u0RE1jAQEhEREZnx9sL0\\\n",
       "iYmJyMvLs9pO7ZlHzdu+/vrrnT4XEZE9nFSGiIiIqJ6Zh0Fzf/zxh9Xy3bt3e6M7RKRgHCEkIiIi\\\n",
       "MuPtEUJr6w/W1qlTpzrrEBF5AgMhERERkRWuBD0iIn/DQEhERERkxtsjhEREDQUDIREREZEZBkIi\\\n",
       "UgoGQiIiIiIzDIREpBQMhERERERmGAiJSCm47AQREREREZFCcYSQiIiIyAxHCIlIKRgIiYiIiMww\\\n",
       "EBKRUjAQEhEREZlhICQipWAgJCIiIjLDQEhESsFASERERGSGgZCIlIKzjBIRERERESkURwiJiBow\\\n",
       "WyMPQoh67onvCCGgUrn++8u6Piulje4o6c+OOzhCSERKwUBIRORn3AlH/kin0/m6C6RADIREpBQM\\\n",
       "hEREfkav1/u6C/Xq/PnzLh9bUlJid398fLzLbVPjxkBIRErBQEhE5CcCAwNRVVWluBHCmJgYl44b\\\n",
       "P348IiIi7NYpKChwqW1q/BgIiUgplHVXQUROmTNnDvr06YOIiAg0a9YMGRkZOH78eJ3HZWZmokOH\\\n",
       "DggODkbXrl3x448/muwXQmDmzJlITExESEgI0tLScOLECW9dhl8TQsibXq9XXBgEgOjoaJv7jEaj\\\n",
       "yWckhJDLPvzwQ7vtuvtZSpLUYH8eDCjuqwmEjm5ERP6qYf5LRkQNwrZt2zBx4kTs2bMHGzduhF6v\\\n",
       "x2233YaysjKbx+zatQujR4/G+PHjcfDgQWRkZCAjIwOHDx+W68ydOxfvvfceli1bhr179yIsLAzp\\\n",
       "6emorKysj8siP5SdnW3yfatWrSCEsHoj7sjNuUajcXlyFYPBIAfPmq+FEAgPD3epPU+qrq42CcUr\\\n",
       "V670dZeIiKiBYyAkIps2bNiABx54AJ07d8Z1112HFStWICcnBwcOHLB5zMKFCzF48GA899xz6Nix\\\n",
       "I1599VX07NkTixYtAnB1xGvBggWYPn06hg8fjm7duuGzzz7D+fPnsW7dunq6MvI3PXr0MAk6Z86c\\\n",
       "camd7OxsSJLk8kQ1RqPR5qhgaWmpS216ihACAQEBJmX33nsvfvrpJx/1yL9xhJCIlIKBkIgcptVq\\\n",
       "AQBNmjSxWWf37t1IS0szKUtPT8fu3bsBAKdPn0ZeXp5JnaioKPTr10+uY01VVRVKSkpMNvIPY8eO\\\n",
       "RatWrTwyGY6rN956vR6SJKFXr15ePX+3bt3cat9V+fn5NvcNHjyYk+e4gIGQiJSCgZCIHGI0GjF5\\\n",
       "8mTceOON6NKli816eXl5Fjef8fHxyMvLk/fXlNmqY82cOXMQFRUlb8nJya5eCtWTsrIySJKEzz//\\\n",
       "HDk5OVCr1SgvL/dJX9RqtdttDBw4sM46W7dudfs8zoqKikKzZs3s1snLy0OfPn3qqUeNAwMhESkF\\\n",
       "AyEROWTixIk4fPgwVq9e7ZPzT5s2DVqtVt7OnTvnk36Q46y9U1fXjKG5ubnYtGmTR/tx6dIlh+tG\\\n",
       "RkbaDFdZWVl1Hu/qjKiuioyMRHFxsUN19+3bx0XpncQwSERKwEBIRHWaNGkSvv/+e2zZsgUtWrSw\\\n",
       "WzchIcHi8bX8/HwkJCTI+2vKbNWxRqPRIDIy0mQjzxBCIDAwEIGBgR4LDLbes7N38yxJElq0aIFb\\\n",
       "b70VkiR5rC+xsbF11ikvL4cQAlqtFvn5+fJEMdHR0QgJCXFqwiNXZx6dMGECLl++jLy8PIwePbrO\\\n",
       "z6qqqkp+jJs8jyOERKQUDIREZJMQApMmTcI333yDzZs3IyUlpc5jUlNTLUZSNm7ciNTUVABASkoK\\\n",
       "EhISTOqUlJRg7969ch2qXyUlJTAYDDAYDB6Z6fX333+3GeZyc3Otln/xxRcWZYGBtpfKrZlh1NGb\\\n",
       "cfNZSmv89ttvEEIgJCTE6v6ioiKUl5dDo9HUeY4aBoPB4brA1b8TQggsWbIEMTExiI+Px5dffilP\\\n",
       "oGM0GnHs2DF88803KCkpkcs88RgsERERF6YnIpsmTpyIL7/8EuvXr0dERIT8jl9UVJR8Az127Fg0\\\n",
       "b94cc+bMAQA8/fTT6N+/P959910MGTIEq1evxv79+/HBBx8AuPpb98mTJ+O1115Du3btkJKSghkz\\\n",
       "ZiApKQkZGRk+uU6li4qKkmfItBWMzMXGxuLy5csICwvDX3/9JY/ujh492u5jxbZG6yZOnGhRZjQa\\\n",
       "bbZjPgonSRJKSkpsLkRfM0upXq9HZWUlwsPDvTqqI4SASqWqc5RTpVLh1KlTdutIkoRrr70W1157\\\n",
       "rSe7SHXgwvREpBQMhERk09KlSwEAAwYMMCn/5JNP8MADDwAAcnJyTG7Ob7jhBnz55ZeYPn06Xnzx\\\n",
       "RbRr1w7r1q0zmYjm+eefR1lZGR599FEUFxfjpptuwoYNGxAcHOz1ayLrnFlDr/bNb1lZGRITE90+\\\n",
       "/9SpU/HSSy+ZlNl69PKOO+6wWh4ZGVlnAAsKCkJQUJBrnXSS0WhEXFwcCgsLbdZxdjSR6g8DIREp\\\n",
       "hST4hjkR+aGSkhLMmzfPoRuxWbNm1UOPlOHGG2/Erl27XD7e3j855j9Lg8FgNRTa+5m3bt0ap0+f\\\n",
       "drl/3hAdHW31XT9JkuyOgnpLYwgv06ZNq/OR2dmzZ0Or1Tr9vnFMTAyKi4sxePBgh395oNfrsWHD\\\n",
       "BkRHR6OoqMip8xER+RrfISQiIoe5EwYBIDQ01OY+IQSGDx+OTp062V0A3p4zZ85AkiR8++237nTT\\\n",
       "o4qLixEWFmZRXl1d7YPekKM4qQwRKQUfGSUiIod4YuSjoqLC7gyi69atc/scADB8+HD56+rqagQE\\\n",
       "BHikXVdduXIFx48fR8eOHQEApaWlLs9GSvWDj4wSkVLwXyMiInJIkyZNPNZWmzZtXD62ZnIjR9mb\\\n",
       "rbQ+XXvttTAajTAajVZHDM3p9XqoVCpIkoT27dvXQw+pNo4QEpFSMBASEVGdqqqqPNqeO+/5xcfH\\\n",
       "45dffvFgb+omhPD4Z1AXtVotj6SeOHHCqaUviIiIHMVASEREdXJmFlJHuPto6A033AAhhEdHLW0J\\\n",
       "Dg6GSqVCcHCw3cddPens2bMWZTqdDocOHbJan+8jeh5HCIlIKRgIiYioTp4MHAsXLsSwYcM80tal\\\n",
       "S5eg0+ns1rG19qEjtFqtxcigI+/+uTt7aFxcnNXyHj16YMeOHQCujlomJSVBkiQEBQVBkiScO3fO\\\n",
       "rfPS/zAQEpFSNIwXK4iIqEHTaDQOPzIZGRmJoqIiOTgZjUYYDAavrf8XFBQEIQRKS0stlhiQJMnu\\\n",
       "OoB1MV8bscbZs2fRqlUri/LevXvjwIED8veujibam431lltusbmvVatWPlnKojHipDJEpBQcISQi\\\n",
       "ojpVVlY6VK+qqgpardZkFE2lUtXLYvAREREQQqCyshJr165FZWWl2+HI1hqWrVu3tihLSkoyCYMA\\\n",
       "MGPGDJttazQaSJKE5s2bW93vSt85c6nncISQiJSC/3IQEZFDhBC49dZbre5r1aoVhBB1LhZeHzQa\\\n",
       "DUaMGOGRSVhsPboJAAEBATAYDPLo54ULFyzqvP7661aPlSRJftT1/PnzVpfFkCQJBoPBqf6Wl5c7\\\n",
       "VZ9sYyAkIqVgICQiIof9/PPPEEJYbGfOnPF117zm7rvvtlpuNBoRGBiIwMBAm+9YOvrIqK3RQJVK\\\n",
       "hT///NOhNoqLix0K5NZ+fv621YyuMqAREbmPgZCIiMiONWvWuHys+TuNrmjXrp3dR0FVKhWEEIiK\\\n",
       "inL7XPQ/HCEkIqVgICQiIqqDq8GuuLjYarn5qGNdgcLWo6Offvqp04+VkmMYCIlIKRgIiYio3hgM\\\n",
       "BosbaZVKhYMHD/q6awCA/Px8k77t3bsXer0eHTt2dLotvV5vMyisWbMGWq0WsbGxePbZZx2aQEav\\\n",
       "18sjhc2bN4cQAmPHjnW6X+QYBkIiUgouO0FERPWisrISISEhFuVCCPTs2dPqMUlJSTh16pRHJoip\\\n",
       "y6FDh9CjRw+Tsuuvvx4tW7ZEdHS0Q21IkgS9Xm91khhzkZGRTi2JERgYyNHAesRlJ4hIKThCSERE\\\n",
       "LnF2jT1rYbAu58+fR3BwMCRJQlxcHH799Vf897//RVxcHFQqlUPrI9Ys2i5JEr777jub9czDYI38\\\n",
       "/Hy89tprdfa1T58+MBqNDoVBavg4QkhESsFASERETsnOzpYf9ZQkCTfddFOdx3jihrmwsBB9+/bF\\\n",
       "4MGDUVhYCCEEdDodgoOD8cYbb1g9RqVSmcwAOmzYMKtLSXTq1MnmefPz8zF06FAcP37cZp2goCDs\\\n",
       "27fPiashIiJqGBgIiYjIITVBsFevXiblv/zyi93j6mOx9JdeeskidKamplodxSwsLIQkSXJQvPvu\\\n",
       "u3H06FGr7W7dulWevbN9+/Y2J5epWVPQlocffhiSJCEgIACnTp2q83rI9zhCSERKwUBIREQW9Ho9\\\n",
       "oqKiTG54zYOgI9avX+/0o6XukCQJ9957L4KCgrBnzx67dWseJc3MzLS6v0WLFujfv79JmVartbj5\\\n",
       "r+v6Zs2ahY8++gjA1fUG27RpA0mSUFlZWdflkI95KwzOnz/fajtHjhzxwlUQEdnHSWWIiBTi77//\\\n",
       "hsFgQMuWLe3exNasa+cJGRkZHmnHGatWrXLr+NDQUJSVldncbzQaYTQaIYRw6H3BV155xWp5SEgI\\\n",
       "qqur6/Wdw9LSUkRERNTb+fyZNyeVmTJlitXyzp071+svUIiIAI4QEhE1eqtWrYIkSUhOTkbr1q3l\\\n",
       "d/9WrlxpUu+WW26BJEkevSH1t0fp7rnnHrthsIZKpfJIkAsKCnK7DUcIISBJksvrKSpRfTwyKoSQ\\\n",
       "NyIiX2EgJCJq5O69916r5WPGjDG5od2xY4dL7dsLRnl5eS616Svuji46q76CQH28x9nYuBIIi4uL\\\n",
       "ERMTI2+DBg2q8xy1/0tE5Av8F4KIqAFLS0vDoUOHXD7ekdEud9VMumJNs2bNUF5e7vRo2ogRI2A0\\\n",
       "GlFdXY3AwPp5u2HGjBleafepp56yuc/dEcKIiAhIkoRXX33VZp3as6yS41wdISwuLpa3zZs3W227\\\n",
       "9nurtY/lSCER+QIDIRFRA5aVlYUePXq4PIIQFhbm4R5ZKi8vt7u/5l252o/HCSFgMBgswl5gYCCE\\\n",
       "EFi7dq08K6der4darbba9qxZs+T2tFptnX21F8BsvevnroULF0Kj0VjdV9fspPZkZGTgypUrAICZ\\\n",
       "M2ciNjbWar3CwkKXz0HOi46OlreBAwdarTNy5Eir5RwpJCJfYCAkIvITwcHBLh3n6qhDzcQpNVt6\\\n",
       "errVeq7OlqlSqaDX603OodfrrdatqqrC77//Ln/fqlUrCCHw8ssvy2WRkZE2r7WmfZ1OZxJI9+3b\\\n",
       "B4PBYPcz2rhxo8VokLPXXFlZaXJeT7w39sMPP5h8f/nyZauBNyEhwa3zKJUrI4TR0dEoKiqSt6ys\\\n",
       "LLvn4DuERNQQMBASEfmJdevWuXysMzecISEh8iQktW3YsMHl83tCly5d5JvnM2fO2KxXO1TamzFV\\\n",
       "pVKhT58+db5fd9ttt1mUhYSE4LfffnOs41bO6wmjR4+2KLP1eGibNm08ck4l4TqERKQUDIRERH4g\\\n",
       "PT0dgwcPdquN66+/Xv568eLFFo9w1mz2HgH1h7Xzah47rRmNc0dJSYnNfd27d3erbXetWLHCanlR\\\n",
       "UZFF2V9//eXz/vqb+giEDJRE1BAwEBIRNWA1wcYTo3P79++Xv37iiSdcakOj0VisY3f33Xe71a+G\\\n",
       "zNa7izVqP8Za32yNNNp6TPHgwYN8NNEJ3gyEtt73/Ne//uWJrhMROYUL0xMRKUBRUZHJ44QGg8Hl\\\n",
       "dfRKSkoQGRmJ0tJSBAYGYs2aNZ7qZoNT13ubW7ZsQdeuXeupN47xt6U+GipvLkzPiX6IqCHhCCER\\\n",
       "kQKYv0O2bNkyt9orKirC7bffjtLSUrfa8Qf23vmra505X6ioqPB1F4iIyI8wEBIRKYD5e2WTJk1y\\\n",
       "q72AgAD88MMPLs986k/svYfYuXPneuyJY/bu3evrLjQKnFSGiJSCgZCIyE+dOHHC5Ib08OHDTh3P\\\n",
       "98kcJ4SweJ8wJyfHR725ytaENxs3bqznnjRODIREpBQMhEREfqisrAzt27c3KevatavTodAVTz31\\\n",
       "FNLS0uo9UJ47dw4PPPAARo8ejYKCgno9N3B1LUQhBKqrqyGEQHJycr33oYbRaERUVJTVffZmRiXH\\\n",
       "MRASkVIwEBIR+aHIyEir5bYmOLl48aJFmbM3sXfffTckScL777+PrKwsj62nV5dHH30UkiShZcuW\\\n",
       "+PTTT7F69WrEx8fj1ltvdavd8vJykxv6zMxMh45zdTIeTykrK6uzDxz9dR8DIREpBQMhEZECNG3a\\\n",
       "FFeuXJFvXJ0NDFeuXLEamKZNm+aR/tliMBiwfPlyq/vOnTvnVrthYWEmZXfffbfNhd0dERUVBUmS\\\n",
       "oFKp3GqnLuHh4XXW0Wg0Xju/UjAQEpFSMBASEfkhW++v2VrfDADCwsJgNBpdGj1KSEiwWj537lyn\\\n",
       "23LG6dOnbe47duyYy+0GBlpfdSk+Pt6l9lQqlfyophACQUFBVj9nvV6PoKAgi7UcHeXo563X69Gk\\\n",
       "SROXzkFERMrCQEhE1ICFhISgdevWFksJNG/e3KKsSZMmXlvfLCgoyGq5tx8bbdu2rdXyyspKr5yv\\\n",
       "uLjYpeOshT/zz8ZgMECtVqO6utpktNYZL7zwgsN1i4qKOHLlBo4QEpFSMBASETVglZWVOHv2LEJD\\\n",
       "Q5GYmGiyLzg4GEIIebt06ZLX+pGfn2+1/MSJE147Zw2j0YjQ0FAAQEpKCoQQdh+JfO655+Sb9Jrj\\\n",
       "HBUdHe1OV622ZzQacenSJaujkiqVClqtFtXV1di6dSvuvfdeXLlyxWZ7rozumocVZ4NOQ9xqJvix\\\n",
       "t7mLgZCIlML6MzNERNTg5OXl+ezcarUat956q8mSBhEREWjdurXXzy1JEsrKyhyqW1FRgXfeecfk\\\n",
       "+wsXLliEaVtcfQxVkiSrIUSr1dqdAEYIYRFCV61aBY1GYzEKesstt7jUN+DqSDMXrHeOM0GPgZCI\\\n",
       "/BkDIZGfO336NHbs2IGzZ8+ivLwccXFx6NGjB1JTUxWxaDjVn59//hnA1WAaHx/fIG+Crb2b165d\\\n",
       "O7ujbrXFxcW5dF6j0ejRz6Oqqgo9e/ZEdnY2gKszi+7YscPl9iorKyGEaJA/s4aMnxcRKQEDIZGf\\\n",
       "WrlyJRYuXIj9+/cjPj4eSUlJCAkJweXLl3Hy5EkEBwfjvvvuw9SpU9GqVStfd5c8wNZSE/XN1gQz\\\n",
       "DYHBYLAoc/R9w5MnT7p1bk8HroMHDyItLQ1HjhzBhQsXrNZp0qQJqqqqHBpBValUNtshSxwhJCKl\\\n",
       "4DuERH6oR48eeO+99/DAAw/g7NmzuHDhAg4cOICdO3fiyJEjKCkpwfr162E0GtG7d2+H11ejhisk\\\n",
       "JARardbtdioqKhAQEACNRgOj0eiBnjUs1iahcfRm/ZprrnH7/A888IDbbdQ2evRoFBQUWN1nMBhw\\\n",
       "6dIlXLlyBZ07d3aoPUcfnSUiIuXgCCGRH3rzzTeRnp5uc79Go8GAAQMwYMAAvP766zhz5kz9dY48\\\n",
       "ypOPIhYVFclLEeh0OgQEBGDbtm1uvZvW0Bw8eNDisVHzNQHnzZvntfN/8cUXHmvLYDBApVJh27Zt\\\n",
       "+Pzzz032jRs3zmQW0127diEqKspj5yaOEBKRcnCEkMgP2QuD5mJjY9GrVy8v9oa8yZM3mtZGzwYM\\\n",
       "GOCx9hsCR2YVfe655xxur7KyEoMHD3ZoQp+ysjKPLUgfGxsrBz5raw/++9//NvneE7NqkinOMkpE\\\n",
       "SsERQqJGoqCgAAUFBRaPAXbr1s1HPaKG5vLlyxZlQgh5sfTGwNa6iElJSTh9+jSuvfZaq4/KhoeH\\\n",
       "Wz0uJCQEwP8etTQfsTUajWjTpo3HR+Frrydp7Z1N82U3Zs2aZbe9iIgIvP/++xg+fDhiYmI808lG\\\n",
       "jiOERKQUDIREfu7AgQMYN24cjh49Ko8S1EyBL0mS1Uk2SJnUajV0Op1FubcXl6+LRqOR+xUQEGB1\\\n",
       "lO3s2bNo3749jEYjPvroI4wdO9ZqW7ZmE71w4YLdWXcXL15sUWZtXceaz0qlUnntHcwffvjB6WOW\\\n",
       "Ll1qtTw1NRW7du1yt0uKxEBIRErBR0aJ/NxDDz2E9u3bY9euXTh16hROnz5t8l+iGlVVVRY3rnfd\\\n",
       "dZfddfK8rUWLFiYh1WAwQJIk3HjjjaioqMCWLVsgSRJat24NnU6H6upqjBs3DpIkYdKkSRbtufoe\\\n",
       "nbWAOWHCBJv1vRUGJUnC7bffbrfOqFGjLMqs/eInJCSEYdANfGSUiJSCgZDIz506dQpz585Fv379\\\n",
       "0Lp1a7Rq1cpkI6rNaDRCCAGDwQAhhE9noDUajcjNzbW6b9euXQgNDcXAgQNtHr948WJIkoSIiAiE\\\n",
       "h4dDkiSXglpKSorV8ueff97pthylUqksQkR4eLjN/ufk5AC4GlJWr15tsf/OO++0KCsvL7falhDC\\\n",
       "7zeNRuP1gMZASERKwUBI5OcGDRqE3377zdfdID9j7zHRc+fOQaPR4J///Ged7fz8889o3bo1rrnm\\\n",
       "Grz++us2Q4g1nhqZvHLlikPr8H3yySc4duwYWrZsKZd9/PHHNkfSe/fu7ZH+mdu0aRMMBoMczmu2\\\n",
       "0tJSm8ckJydDCGEzMH711Vcm3xcXF3uyy0RE1IjxHUIiP/fhhx9i3LhxOHz4MLp06WIxOciwYcN8\\\n",
       "1DPyR0VFRXJg2rBhg8135XQ6ncXEJtOnT8f06dOttitJEnr06IEvvvgCP/30E5599lnPd96O2rNw\\\n",
       "nj171uHjAgICPP4e7qBBgzzaXg0hBKqqqix+LuQavkNIRErBQEjk53bv3o1ffvkFP/30k8U+TipD\\\n",
       "zqpZp7CGEMIiFF24cAFJSUlOtSuEQHZ2Njp16uSRfjrqP//5j9XHKR1VXV0NIUSdE+8kJCTgwoUL\\\n",
       "8vdJSUkm39cXhkHPYSAkIqXgI6NEfu7JJ5/EmDFjcOHCBRiNRpONYZBq69u3LwICAtC/f3+njjMa\\\n",
       "jSYTvzgbBn3l1VdfdSsM1qjrFysqlcoi/J0/f97t85Jv8R1CIlIKBkIiP3fp0iU888wziI+P93VX\\\n",
       "qAFTqVT49ddfYTQasX37dnz88cdOHT9y5EgA3ptd09OaN29u8/FVV6hUKnzxxRdW99kKi3v27LEo\\\n",
       "y8jI8FifyLsYCIlIKRgIifzcnXfeiS1btvi6G9SA1Tz2WNv48eOdamPo0KEAfL9moSNUKhX+/vtv\\\n",
       "p46prq7GTz/9hHfeeQc//PADLl26ZPGZjR49Gl27dpW/DwwMtKhTW79+/dCuXTv5+4CAAHzzzTdO\\\n",
       "9ctThBAoKSlBVVWVT87vjxgIiUgp+A4hkZ9r3749pk2bhp07d6Jr164Wk8o89dRTPuoZeYJKpYJa\\\n",
       "rcZHH32E++67z6U2Zs2aZbW8qKgIMTExJmVBQUHQ6/UWdR9++GH561tvvRUbN250qS+eJEkSNBoN\\\n",
       "Kisr5bI+ffpg3759TrUTHBxsNyhpNBpkZmZi8ODB+O2335y6+f/zzz+d6os3JCYmIi8vT/7eXogl\\\n",
       "IiLlYSAk8nMffvghwsPDsW3bNmzbts1knyRJDIR+rmbmyDFjxmDMmDEAgMLCQsTGxjrchvmSBDWS\\\n",
       "kpJQUVFhUhYREYHLly+blJkHoJ9//rlBjIiUl5cjODjYrTZuv/32OkfNqqqqMGzYMDz22GNYtmyZ\\\n",
       "W+fzhdphkBzHSWWISCka/rM/RGTX6dOnbW621ldz1uLFi9G6dWsEBwejX79+dY7AZGZmokOHDggO\\\n",
       "DkbXrl3x448/muwXQmDmzJlITExESEgI0tLScOLECZf6VtcC1lVVVU4/+tWQNmuaNm0KSZJsBj1z\\\n",
       "ly5dslpee2SthnkYBIAHH3zQofPUN3fDIACrs/Pasnz5crfPR/6jMTwyunbt2gbbNyJqOBgIiRqp\\\n",
       "CxcuYO7cuW63s2bNGkyZMgWzZs1CdnY2rrvuOqSnp6OgoMBq/V27dmH06NEYP348Dh48iIyMDGRk\\\n",
       "ZODw4cNynblz5+K9997DsmXLsHfvXoSFhSE9Pd1qQCHbRo0aBUmSEBUVZfcxQHuLlEuSJH/uffv2\\\n",
       "tVqnS5cubvXTFY899pi8ELutG9qjR4+6dQ5n36fjjbWyNIZAeNddd/m6C0TkByTBlwmI/NpDDz1k\\\n",
       "tfzs2bPYt28fSktL3Wq/X79+6NOnDxYtWgTg6iyTycnJePLJJ/HCCy9Y1B81ahTKysrw/fffy2XX\\\n",
       "X389unfvjmXLlkEIgaSkJDz77LP4v//7PwCAVqtFfHw8VqxYgXvuucehfpWUlGDevHl11tPpdJgz\\\n",
       "Z45Dbfq78PBwi5+3I2vo1SU4ONji0dIWLVogNzfX6bYCAwNRXV1dZz3zf5ps3XDX9U+YTqdDeHg4\\\n",
       "9Ho9goODceLECbRo0QLA1Yl1nJlttaioCNHR0Q7Xbyi+/fZbDB8+XP6+MfyzP3v27DrrvPzyy9Bq\\\n",
       "tYiMjHSq7ZiYGBQXF2Pq1KkOr+tYVVWFt956C9HR0SgqKnLqfN5W83enMfzcicg7OEJI5OeKiopM\\\n",
       "tsLCQuzbtw9bt27FO++841bbOp0OBw4cQFpamlymUqmQlpaG3bt3Wz1m9+7dJvUBID09Xa5/+vRp\\\n",
       "5OXlmdSJiopCv379bLZJjrly5QokSUKPHj1QWlqKjRs3emRWUGsjt3/99ZfVunWNlCxduhQdO3a0\\\n",
       "W8fa/jfeeMNqXXvrA168eBEajUaeJKeyshLJyckIDw9Hr169nAqDWq3WL8MgAAwbNszXXfBLjWGE\\\n",
       "sDZ/6y8R1R8GQiI/980335hs3377LQ4fPoxXXnkF69atc6vtwsJCGAwGizUO4+PjbU5UkZeXZ7d+\\\n",
       "zX+daRO4+hv4kpISk42sO3ToECIjI3Hbbbd5rE3z0YXg4GCTm0pJkrBo0SKUlpbi3nvvtdnOHXfc\\\n",
       "gZ9//tluUM3KyrIoe/bZZ63Wffvtt22207JlS6vlZWVlyM7OtnmcuZtuusnpUaaGpvbyF6QsNe9T\\\n",
       "JyQk+LorRNRAMRASNVKjR4/G1q1bfd0Nj5kzZw6ioqLkLTk52dddUhTz5UyAq48P19xsGo1GTJw4\\\n",
       "EWFhYVi5cqXVwCdJEhISEtCiRQsYDAarkxPFxsYiMTHRolytVlvt17Rp02z22VPvpO7YscPpY4xG\\\n",
       "I6qqqmA0Gj3SB3f9+eefuPbaa33dDb/jj6ODtvr0/vvvm0y4RURUg4GQqJH67bff0KNHD7faaNq0\\\n",
       "KQICApCfn29Snp+fb/O3zQkJCXbr1/zXmTaBqzf+Wq1W3s6dO+f09ZDrDAaDUzeR1m5IzR+57NOn\\\n",
       "j3xzWtN+YWGh030bMWKERVmTJk2cbscdQgg0a9ZMvhkPCAhAcHAwAgICIEkS1q9fX6/9sebYsWMM\\\n",
       "Ak5oDI+M1u7XyJEjG2w/ici3uA4hkZ+bMmWKRVl+fj7Wr1+PIUOGmOx3ZBKW2tRqNXr16oWsrCxk\\\n",
       "ZGQAuDrykZWVhUmTJlk9JjU1FVlZWZg8ebJctnHjRqSmpgIAUlJSkJCQgKysLHTv3h3A1Qli9u7d\\\n",
       "iwkTJtjsi0ajcXiCB/KO2NhYq8tSWGPt3b6VK1farO/Iu44RERFWJ0n6+uuv8Z///Ad33nknJEnC\\\n",
       "/v37PTqxx/Lly/HII4/YrVNX/zMyMpCcnIycnByP9Yu8y5mg15CDliRJ/EUAEdnFQEjk5w4ePGi1\\\n",
       "vE+fPigoKJCXh3D1hmXKlCkYN24cevfujb59+2LBggUoKyuT16YbO3YsmjdvLs/k+fTTT6N///54\\\n",
       "9913MWTIEKxevRr79+/HBx98IPdj8uTJeO2119CuXTukpKRgxowZSEpKkkMnNUyOhqyxY8daLb/1\\\n",
       "1lvdOr9Go7E5a643p9d/9NFHMX78eJuhLzQ01KF2zp07h6ZNm7o0Ckr1z98Dob+/90pE9YeBkMjP\\\n",
       "bdmyxavtjxo1ChcvXsTMmTORl5eH7t27Y8OGDfKkMDk5OSY3yjfccAO+/PJLTJ8+HS+++CLatWuH\\\n",
       "devWmaxl9/zzz6OsrAyPPvooiouLcdNNN2HDhg0uLTRe142YRqPx69+ON7QbzfDwcFy5csXm/p49\\\n",
       "e9r8JUVAQIBb53Z0dNIbAgICbP45Ml+Sw55Lly4hPj7e4pFpanj8PRC6u+QQESkHAyER1WnSpEk2\\\n",
       "HxG1NnHNyJEjMXLkSJvtSZKEV155Ba+88oqnuthoCSFQUlKCqKgoX3cFwNUZOlUqFZ544gmcPn0a\\\n",
       "GzdulJd1cOTY8PBwl87bECZo2b17t/zocw17y17YUlBQgB49etgMztQw+GsgFELI/alZ97Mh9Y+I\\\n",
       "Gh5OKkPkhwYPHow9e/bUWa+0tBRvvfUWFi9eXA+9Im+JjIxsUKOcQggsXrwYP/74o8NhEACaNWtW\\\n",
       "Z52ePXvKN+IqlQpdu3bFDTfc4NLosafdcMMNFmWXLl1yqa1Dhw7hnnvucbdLRFbVTNak1+vx3HPP\\\n",
       "yeXOvkdORMrAEUIiPzRy5EiMGDECUVFRGDp0KHr37o2kpCQEBwejqKgIR44cwc6dO/Hjjz9iyJAh\\\n",
       "dtdqI/+RkpKC06dP+7obLquoqMDFixcRFxdndX9AQIDJKKAQAocPH66v7jnktttuw88//yx/785j\\\n",
       "sGvWrMGTTz6JG2+80RNdIw/z1xFCc3PnzsXcuXN93Q0iasAYCIn80Pjx4zFmzBhkZmZizZo1+OCD\\\n",
       "D6DVagFcvTHp1KkT0tPT8euvv6Jjx44+7i15yokTJxAY6N//227WrBn0er3FdTz22GM+fyTUERs3\\\n",
       "bjT53nwpDWfddNNNDWr0l/6nsQRCIqK6+PedBZGCaTQajBkzBmPGjAEAaLVaVFRUIDY21uoi4uT/\\\n",
       "3J2UpaEICgpCbm4ukpKSAFxdQL5mFlp/EBUVJf8CxhM/kxdeeAFvvvmm2+2QZzEQEpFS8B1CokYi\\\n",
       "KioKCQkJDIMKZTQa5feG8vLyEBwcDEmSEBkZiZycHAghUF1dbfEuXrNmzWAwGKDX6x1aC9BTmjdv\\\n",
       "joCAAERERCAkJKTezuuIwMBA5ObmYvny5Vb3l5SU4NSpU/LX7uLjfA1TY1iYnojIEQyEREQNWEhI\\\n",
       "COLi4nDzzTcjJSXFap1BgwaZ3JDGx8ejoqICRqMRWq0WycnJAK6OZpWVlcn1vvrqK+Tn50OlUiEw\\\n",
       "MNClGTPdYTQa7S5h4QslJSXQ6/VISkrCww8/bPNxzjZt2kCSJI/M/uqpR0bPnz+PuLg4DBgwwCPt\\\n",
       "KZ23AyGDJRE1FAyEREQNWGVlJQoLC7Fz506cOXPGap2srCxcvHjRofaqqqrkrz/++GNPdNHvVFZW\\\n",
       "yqOpQgisWrUKnTt3RllZGSIiIizqHz9+3Ot9cnZdwqqqKixduhR9+vSBRqOBJElo3rw5CgsLsW3b\\\n",
       "Nr473MCFhob6ugtERDIGQiKiRqBZs2aQJAmVlZV263Xu3Fn+esOGDSajgjqdzmv986RRo0Zh5cqV\\\n",
       "Lk2wU1FRAY1GY1J2zz334PDhwzZv0tu3b+/19zcTEhIcGim8fPkyJElCcHAwnnjiCezfv9/qz+3Y\\\n",
       "sWM223B25KshblVVVSah3trmLm+OEFZUVACAV/pNROQsBkIiokYkJCQEn3/+uc395stWBAYGIiAg\\\n",
       "AGq12iIoNURlZWVYvXo17r33Xuj1elRVVTl8M96uXTuX1zOsrq526Thn1Dy627JlS7z//vsmo7k6\\\n",
       "nQ5qtRqxsbFe7wddVR/vEPJxUSJqCBgIifzcuHHjsH37dl93gxqQsWPHWh0ptDUBitFodGqB+doC\\\n",
       "AwNx+fJlaLVaNGnSxKU2HDV9+nSLUTy1Wm0yoY7BYIDBYIDRaERZWRkGDhyIgIAAXHPNNfjzzz/d\\\n",
       "Ov9jjz3m1vGOMBgMOHfuHJ566il5YiBJkqDRaFz+GZFrXAmExcXFiImJkbdBgwY5fU4iovrGQEjk\\\n",
       "57RaLdLS0tCuXTu88cYbyM3N9XWXqAEICQkxmbDFaDR6ZAKU2tRqNfR6PWJiYhAZGYlLly6hqqoK\\\n",
       "48aNQ9u2bREXF+fUDW7NchRGoxFGoxEnTpxAmzZtEBsbi1OnTuHVV1+tsw2VSgWVSgVJkhAaGoqs\\\n",
       "rCxUV1fj5MmT7lwqAGDZsmU2961YsUIOpUajEceOHavXWVsdVd8TB/kzV0cIi4uL5W3z5s12z8FH\\\n",
       "RYmoIWh4/1oRkVPWrVuH3NxcTJgwAWvWrEHr1q3xz3/+E2vXruWIgsJFREQgJycHpaWlXlna4ezZ\\\n",
       "sxZlarUaK1aswIkTJ1BQUICKigqHJtBITk6GTqdDUlKSfIPdtm1b/PXXXygsLLQ5w2p9Cw8PtyhT\\\n",
       "q9UYN26c/L0kSbj22mt9/k5m7UdOa2zZssUHPfFPrgbC6OhoeRs4cKAPr4CIyDEMhESNQFxcHKZM\\\n",
       "mYLffvsNe/fuRdu2bXH//fcjKSkJzzzzDE6cOOHrLpKPtGrVCpGRkS6Hk4CAAKsTqmzduhUJCQl1\\\n",
       "Hq/RaFBWVgaDwWB1xKx58+YQQiAnJ8el/tW30tJSk5v/mglOrAkICIAQwuZIYbNmzVBZWYkrV654\\\n",
       "JbBba7Np06YePw/9T3R0NIqKiuQtKyvL110iIqoTAyFRI3LhwgVs3LgRGzduREBAAG6//Xb8/vvv\\\n",
       "6NSpE+bPn+/r7pEfOXLkiLyYfXV1tck7ekII9O/f36n2VCqVfGxBQQGuXLkCIQT+/vtvL12Ba2qP\\\n",
       "+IwZM8ZqnZr1HS9evAij0VhnmwaDAWq12qSssrIS+fn50Gg0CAsLQ3l5OS5duuSRa6ghhEBhYaFJ\\\n",
       "Wffu3T16jsasvieVISLyFQZCIj+n1+vxn//8B3fccQdatWqFzMxMTJ48GefPn8enn36KTZs24auv\\\n",
       "vsIrr7zi665SA5aSkoLLly/Lwc/WOnaeeC8uLi4OYWFhbrfjjJqJZ+wxD20rV660WTcyMtKp0baq\\\n",
       "qioYDAbo9XoIIazO6NqkSRMIIbBp0yaH263L8OHDPdaW0ngzENr6s8h3CYnIF5xfxImIGpTExEQY\\\n",
       "jUaMHj0a+/btszoC8I9//APR0dH13jdq+OLi4lBQUODrbnjVH3/8gS5dugC4epNva1TP2ju3kiR5\\\n",
       "7Ca9ZsKbugwaNEg+Z3V1NTQajUMjkdasX7/epePoKm+O3DH8EVFDwRFCIj83f/58nD9/HosXL7b5\\\n",
       "OFh0dLTF+nNEwNVHQxu71NRU+WshBPr162e1nq1R9KNHj3qlX44IDAx0a2ZQvjPouvp4ZJSIqCFg\\\n",
       "ICTyc/fff7/Li20Tvfnmm77ugtcFBpo+DLNv3z6r9WbMmGF1Ah1r63w++uijaNWqVb2Nrq5evdrp\\\n",
       "Y2yNKtZe6sBfN41G4/WAxkBIRErBQEhE1IAlJyd79Wbz3Xff9Vrb9eHkyZPIyMhAdXW1zTrOzGBa\\\n",
       "XV1tEr5CQ0NNFqQ3Go2QJAnLly9HTk4O4uPjIUmS15eYGDlyZJ11VCoV1Go1Xn/9dQghGFLcxEBI\\\n",
       "RErBQEhE1IDl5OTAaDTaDTzuMh9BM9e+fXv5pvfZZ5+1Wa+iogKJiYmIjIzErbfeiunTp8uByXyb\\\n",
       "MWOGPIPpnDlz5MXka7bLly/X2e/o6Gi0bdsW69evR1BQkM2b8vDwcKdu2EeNGiWPRJWVlZnse+ON\\\n",
       "N6weo9Fo0KZNG4fP4Sxb7x4uWrTIZAbYqqoqvPjii17rBxERNT4MhEREfqBmTTtvMBgMOH78uNV9\\\n",
       "O3fuNFnHct68eUhLS7Ool5KSgtDQUOTl5aG0tBSbNm3C66+/bvORytdeew1BQUEICgrCiy++aHFt\\\n",
       "sbGxFksmmNNqtRZltiZRMRqN8syeERERdtu15/7777e579SpU5AkCRUVFS63b8/DDz9s8r3RaMTE\\\n",
       "iRO9ci7iCCERKQcDIRGRH8nPz/dKu7aWmbC23qD5YtuVlZU4c+aMx/sUFxfn9DHffPONzX2VlZUw\\\n",
       "Go0oKSlxuU+tWrWqs05oaKgcEmpmFg0ICECXLl3cmiBm+fLlMBgM8nqODCHexUBIRErBQEhE5Eea\\\n",
       "NWvmlXZtjT7ampgkOztb/tqdETdP++STT+zu98SNu/lInT01j3MajUb88ccfCAwMRK9evVw+t6NL\\\n",
       "V5D7GAiJSCn4rwoRETmt9qLt3ny/0d5kLdOmTZO/DgoKwtmzZ+vlxnz58uVuHZ+dnV2va9AZDAZs\\\n",
       "27YNERERDC5OYCAkIqVgICQi8iOZmZm+7gIAmMy8aU/N45KuCgoKsrnvjTfekEfgdDodWrZs6fJ5\\\n",
       "6tO3337r9QARFRUlB5XAwEAMGDAAV65c8eo5GxsGQiJSCgZCIiI/cs899/i6CwAce5cuMDAQer0e\\\n",
       "er3e6mQsvXr1gk6nQ3V1tc3HMBvbjXbbtm0xdOhQr54jJCTErfckiYhIWRgIiYj8RJMmTWy+0+cJ\\\n",
       "8+bNM/ne3uhczYyd9uj1enk5ic8++8xicfH9+/cjKCgIAQEBWL58ubx0wk8//YScnJx6fazSGa4+\\\n",
       "IvvNN9+YzNjqDZIkobKy0qvnUAqOEBKRUjAQEhE1YE2bNkVAQAAkSUJRUZFXz/Xss88iKCgIXbt2\\\n",
       "hSRJbr0beNttt7l0nEqlwuDBg5GcnGxS3r9/f5Ob7x9//NHlvlnz999/Q6VSITAwEKWlpXbr2gvK\\\n",
       "9mRkZLh0HOBYCGUo8SwGQiJSCgZCIqIG7NKlS14dFTRXXV2Nw4cP263jSCBatWqVp7oEg8GA7du3\\\n",
       "m5QNGTLEY+1XV1cjOTlZHqGMjIzEE088YbVuSEiIx87riJq1DYOCguyucciZRz2PgZCIlIL/ghAR\\\n",
       "kVPKysrqrBMVFeWx8/3+++9Wy91Z06+28PBwi7KlS5darevO45iuPALbpk0bk+9DQ0MxefJkkzKV\\\n",
       "StVgH6/1ZwyERKQUDIRERH6kTZs28jt4t956a72fPzIy0qERQndmFjVn63yOjJw68qhlVVWV1XJn\\\n",
       "Aufzzz+PX375xe51OzuKZytkLFy40CSIMAx6BwMhESkFAyERkR/566+/5K//+9//OnzcwYMH5SBZ\\\n",
       "WVmJyMhIl86v1WrrrOPpm+MOHTpYLbcXTKurq00etXSFtXC3evVqk++vXLkCIQTeeust3HDDDaiu\\\n",
       "rkbz5s1ttilJUp1BUwjBR0CJiKje8F8cIiI/Ul5eLn/90EMP1VnfaDRCCIHu3bvLZRqNBlqtVg6I\\\n",
       "jrJV12g0ygFm69atHn/n0ZXRRvOwaCtg1f5carP1rt6oUaNMZkoNCwuzqPP333/b7VtgYKDdkSY+\\\n",
       "AtowcISQiJSCgZCIyI+EhYVhwYIF6Nu3L1asWGG37tq1ax26UXVnNlHgf6NeQgj079/fYv+CBQvk\\\n",
       "BdLrg7Xz2ApYv/32m0WZRqNBcHCwy+c/c+aMy8c6KyAgAHv37kVVVRXKysrwxRdf1Nvn3NgxEBKR\\\n",
       "UjAQEhH5mWeeeQa//vprnfVGjBjhUHsBAQF488033e2WVdXV1XjmmWcAXH0nz5M3ztYmg/nqq69s\\\n",
       "PpLZsWNHk+9t9cWdiWP0ej1SUlJcPt4ZOp0O1dXV6Nu3L9RqNUJDQ3HfffdBr9dzhNEDGAiJSCkY\\\n",
       "CImICFOnTkVERITdOo4sRm/u6aeftihzdh2/2o/J1lZWVgZJkvDggw+ia9euCAgIwKhRo2y2c+zY\\\n",
       "MUiSJK/raI077+4FBQVBrVa7fLwzzp07V+fnyFDoHgZCIlIKBkIiIgIAlJSU2L2x1el0UKlUNmfl\\\n",
       "tMZ8iQTA+UdUrb2nV9uKFStw+PBhh99dtFfv5ZdfdqZrAID4+HhIkuT2o7fOaNGiRb2dS8kYBolI\\\n",
       "CRgIiYhIlpuba3e/EALBwcEmN8P2RqratWtnUebMDfSzzz7rcF1POHr0qEWZ0WjEf/7zH6xbtw56\\\n",
       "vV4u37NnDyRJQkFBQX12ETExMfV6PiIiatz45jkRUSMlhHB69MKZpSxqVFdX4+zZs2jVqpXNftSe\\\n",
       "OdOZ9f3mzZvndH/csWrVKnz66adyyG2Ioz/5+fm+7oIiODP61xD/nBAROYqBkIiokTpx4gTat2/v\\\n",
       "UF2tVouWLVuipKTEpXNZm+ClNleWonD2XUNPqa/3AF3RoUMHhz+XnJwcL/emcWMgJCKl4COjRESN\\\n",
       "lLUlIMy9+uqrkCQJ0dHRLodBAIiNjXX5WFtceSdv1apVaNq0qcf70hA0bdrU6iOtttTXbKeNFSeV\\\n",
       "ISKlYCAkImqk8vLy7O7X6XSYOXOmW+do06aNV2azLC0tdaq+Wq1GdXU17rnnHly8eBG9e/e2Wk+l\\\n",
       "UuGLL75we/TxpZdeQnV1NYxGIwwGg/x17UXrP/vsM7fOYe7f//63U/VdGZWl/2EgJCKl4COjRESN\\\n",
       "WFVVlc3lIqxN+OKoVq1aeXUB9jlz5jhV/5tvvkFAQID8/a+//mpxk37XXXchMzMTAHDfffc5fROv\\\n",
       "UqlQXl5u8Xnaauf+++9HkyZNcMcddzh1Hlvuuusuh9dyTE5O9sg5lYyPjBKRUnCEkIioEQsODra5\\\n",
       "r64ZRW356aefvBoGAWDhwoUAgICAAOTn50MIgeLiYpv1Dx48aFEmhJDfbczOzpbDYI24uLg6+xEY\\\n",
       "GIiioiIIIWAwGJxei3HIkCFO1benZnKegQMH2q3Xpk0b/P333x47r1JxhJCIlIKBkIiokZMkyery\\\n",
       "Dc7M9lnb4MGDbe4TQuCDDz5A06ZN5QXgbW3jxo2zeNz0xRdfhCRJKC8vR3BwMKqrq9GsWTMAQFRU\\\n",
       "FP744w+r550xY4bVdw5LS0shhECPHj2s9tWeX375BXq9HtHR0Xbr1WXo0KFuHW9uy5Yt8meoUqkQ\\\n",
       "GBgIlUoll506dcru8c4GnYa4VVVVmTyea20jIiLH8JFRIiIFmDdvHubNm4e+ffti586diI+Pd6md\\\n",
       "999/32p5cXGx0+vjffbZZ3bfs7P2Dlzbtm2t1hVCICgoyKkgUFhYaLU8MTER58+fd7idunz77bde\\\n",
       "G0GqGbkkz+Mjo0SkFBwhJCJSkH379kGtVqOoqMil4ydNmmRRFhQU5JXF0nU6nUVZp06d7B5Te71D\\\n",
       "e6zNwLp48WIIITwaBmvYe9yVGiY+MkpESsERQiIisqDRaPDGG28gJycHP/74I26++WZ8+OGHFvW8\\\n",
       "fSMcFxeHixcvAgDWrl2LkydP2q1f856dOUmSoNFooNPpLEYeo6KivB7YoqKiUF1djcBA/rPrLzhC\\\n",
       "SERKwX+ZiIjIwpUrV+TwsmDBAqt1QkNDvd6PwsJCj9xsCyFQWVlpdV99jd4FBARACMHw4CcYCIlI\\\n",
       "KfjIKBERWXBkJKuioqIeeuK/bD266ukJT7Zu3WoymUpxcTEDigfwkVEiUgoGQiIismBtxk5yzL59\\\n",
       "++QZQCVJsjrpi73lQJxhNBot3oeMioqC0WhEWVmZR85BRESNGwMhERFZ6NKli6+7UG88/ehrv379\\\n",
       "TL63Ntpas5SGO6qqquyOTIWGhkIIgerqajz++OOIioqCWq12+7xKwRFCIlIKBkIiIrJw/PhxX3eh\\\n",
       "3lRUVECSJKxduxY7duxAZGSkx2/yzdvKyclxqy2j0ehwuAsICMDSpUtRXFyMqqoql8+rNAyERKQU\\\n",
       "nFSGiIisCggIsLnG3W+//VbPvfG+kSNHWpSpVCqr6yHa06ZNG6uzoUqShMDAQLcex9Xr9ZyptJ5w\\\n",
       "UhkiUgqOEBIRkVVGoxGSJFmsB/jxxx+je/fuFvUPHz4Mo9EIg8GA3377DfHx8X5/o+zKBDB//fWX\\\n",
       "zX2uhsGaGUo9EQZrT0Djr5tGo/H6iB1HCIlIKRgIicgqvV6PqVOnomvXrggLC0NSUhLGjh3r0KLd\\\n",
       "ixcvRuvWrREcHIx+/fph3759JvsrKysxceJExMbGIjw8HCNGjEB+fr63LsWvJSUleWwCEleZ33yP\\\n",
       "Hz/eok51dTU6d+4sT6bSrVs35OXlwWg0Wr2h37Bhgw+uxDWXL192+pjp06d7tA96vd6j7VHdGAiJ\\\n",
       "SCkYCInIqvLycmRnZ2PGjBnIzs7G119/jePHj2PYsGF2j1uzZg2mTJmCWbNmITs7G9dddx3S09NR\\\n",
       "UFAg13nmmWfw3XffITMzE9u2bcP58+dx5513evuS/FJubi4qKirkyUEaqoCAAKfqp6enQwjh9HG+\\\n",
       "kJqa6vQxr776qkf74M5SFTqdDlOmTMEnn3ziUrglIqLGjS8iEJFVUVFR2Lhxo0nZokWL0LdvX+Tk\\\n",
       "5KBly5ZWj5s3bx4eeeQRPPjggwCAZcuW4YcffsDHH3+MF154AVqtFh999BG+/PJLDBw4EADwySef\\\n",
       "oGPHjtizZw+uv/56716YHwsICMC7776LZ5991tdd8Zjjx4+jbdu2vu6GXadOnfJ1F7Bp0ybcdttt\\\n",
       "Lh0bHBxsEig9vQ5iY8V3CIlIKThCSEQO02q1kCQJ0dHRVvfrdDocOHAAaWlpcplKpUJaWhp2794N\\\n",
       "ADhw4AD0er1JnQ4dOqBly5ZyHbJtypQpHl8mwZfatGnj6y7UqSGMzKanpyMwMBCrVq1yKtDVvHtI\\\n",
       "zuMjo0SkFAyEROSQyspKTJ06FaNHj0ZkZKTVOoWFhTAYDIiPjzcpj4+PR15eHgAgLy8ParXaIlTW\\\n",
       "rmNNVVUVSkpKTDalKisrg0rVsP737c4N8ZEjR6yWT5gwQX7nMCgoyGK/tXcTvXVjPmjQIKfqe6Mf\\\n",
       "BoMB9957r7zgfXFxcZ3HODtDKpliGCQiJWhYdxRE5DMrV65EeHi4vO3YsUPep9frcffdd0MIgaVL\\\n",
       "l/qkf3PmzEFUVJS8JScn+6QfDYXBYGhwN6KuvGsHAB07drRavmTJEvlr8/XzNm3aZPUYb43mbd68\\\n",
       "2eG69fVziYmJqZfzKFV9jhAyXBKRLzEQEhEAYNiwYTh06JC89e7dG8D/wuDZs2exceNGm6ODANC0\\\n",
       "aVMEBARYzBian5+PhIQEAEBCQgJ0Op3F6EbtOtZMmzYNWq1W3s6dO+filTYeNUs8PP744w3iRnLP\\\n",
       "nj1eC2Tm19e/f3+r9bw5cqrVauusU98/h7Vr19rc99prr9VjTxqf+gqEDeHvLhEpGwMhEQEAIiIi\\\n",
       "0LZtW3kLCQmRw+CJEyewadMmxMbG2m1DrVajV69eyMrKksuMRiOysrLk0aNevXohKCjIpM7x48eR\\\n",
       "k5Njd4RJo9EgMjLSZKOrAWjp0qUwGo0Wo2i+YO3RTlfVfvdt6tSpJvuKiopsHuetUGjr3Vng6gim\\\n",
       "L27sJ0yYgAEDBiA6OhqBgYEIDQ1Fu3btEBgYiBkzZtR7fxqT+giEiYmJHu41EZHzGAiJyCq9Xo+7\\\n",
       "7roL+/fvx8qVK2EwGJCXl4e8vDyThcoHDRqERYsWyd9PmTIFy5cvx6effoqjR49iwoQJKCsrk2cd\\\n",
       "jYqKwvjx4zFlyhRs2bIFBw4cwIMPPojU1FTOMGpFWFgYmjZtijfffLPOumq1GmPGjKmHXtlnvu4k\\\n",
       "AISEhMg3zhMmTDDZt2vXLqvtBAYGQqfT4aeffsLcuXNN9g0YMMDm+SsqKqyWq9VqREVFuRXc2rdv\\\n",
       "b1HWtGnTel8rsmPHjrh8+TLmzZuHbdu2QavVwmAwoKKiAn/99RcMBkO99oeuKi4uRkxMjLzV9e5p\\\n",
       "zXvTnPiHiHyJgZCIrMrNzcW3336Lv//+G927d0diYqK81b6BP3nyJAoLC+XvR40ahXfeeQczZ85E\\\n",
       "9+7dcejQIWzYsMFkopn58+fjjjvuwIgRI3DLLbcgISEBX3/9db1en78oLy/HpUuXMG3aNEiShB49\\\n",
       "etit/+GHH9ZTz2zr16+fyfc6nQ6VlZXy98uWLYMkSYiPj0diYiJuvPFGq+0YjUZoNBrcfvvtFvuO\\\n",
       "Hj1q8/xqtRrFxcUIDg5GYmIidDodhBCoqqpCcXExjEYjhBB1jnhbc+LECUiShMDAQDngXrp0yel2\\\n",
       "gKu/HKmZDMfRGXY1Gg2EEDhy5AhiYmJw//33u3RuqpurI4TFxcXyZu/d05pj+IswIvI1BkIisqp1\\\n",
       "69ZWZ3EUQpiMzpw5cwYvv/yyybGTJk3C2bNnUVVVhb1791oEhODgYCxevBiXL19GWVkZvv76a7vv\\\n",
       "D9L/HDp0yOIdzdrKysq83odu3bph165dUKvVDtW31d+CggK7M8vaU9eISlRUFCoqKnD+/Hmbj7EW\\\n",
       "FhZi4sSJLp3f3RG4sLAwk/dor7/+esybN8/uMUFBQSbBuob5rL7kGa4GwujoaHmrWWvVWts1uNwO\\\n",
       "EfkaAyERkZ+xF57NH8f0NCEEfvvtN6SmpqKqqgrNmjWr85iGHPZrP+5cn65cuWJR9swzz9g9pvaj\\\n",
       "2rX98ccfHukTmXIlEEZHR6OoqEjear8rXdd5an8/f/58r10XEZE5BkIiokbk+++/91rbt956q0WZ\\\n",
       "IyN8npxoxhscCbUNWZMmTXzdhUbJm5PK1PW4cl2/HCAi8qRAX3eAiIhsc3ayifp4ZLQ2SZIc6mND\\\n",
       "njTD3iO49c2Vz8nRnwE5x5mg52wgrP3etXkb/FkSUX3jCCEREREREZFCcYSQiIiIyIw3Rwit4cgg\\\n",
       "EfkKAyERERGRmfoOhEREvsJASERERGSGgZCIlIKBkIiIiMgMAyERKQUDIREREZEZBkIiUgrOMkpE\\\n",
       "RERERKRQHCEkIiIiMsMRQiJSCgZCIiIiIjMMhESkFAyERERERGYYCIlIKRgIiYiIiMwwEBKRUjAQ\\\n",
       "EhEREVnBoEdESsBZRomIiIiIiBSKI4REREREZvjIKBEpBQMhERERkRkGQiJSCgZCIiIiIjMMhESk\\\n",
       "FAyERERERGYYCIlIKRgIiYiIiMwwEBKRUjAQEhEREZlhICQipeCyE0RERERERArFEUIiIiIiMxwh\\\n",
       "JCKlYCAkIiIiMsNASERKwUBIREREZIaBkIiUgoGQiIiIyAwDIREpBQMhERERkRkGQiJSCs4ySkRE\\\n",
       "REREpFAcISQiIiIywxFCIlIKBkIiIiIiMwyERKQUDIREREREZhgIiUgpGAiJiIiIzDAQEpFSMBAS\\\n",
       "ERERmWEgJCKl4CyjRERERERECsURQiIiIiIzHCEkIqVgICQiIiKygkGPiJSAgZCIiIjIDEcIiUgp\\\n",
       "GAiJiIiIzDAQEpFSMBASERERmWEgJCKlYCAkIiIiMsNASERKwWUniIiIiIiIFIojhERERERmOEJI\\\n",
       "RErBQEhERERkhoGQiJSCgZCIiIjIDAMhESkFAyERERGRGQZCIlIKBkIiIiIiMwyERKQUnGWUiIiI\\\n",
       "iIhIoThCSERERGTGmyOEtuoLIZxqh4jIEzhCSERERGSmJhA6unlC69atPdIOEZEzOEJIREREZMab\\\n",
       "I4TmI4EqlQpCCJw9e9apdoiIPIGBkIgavdmzZ/u6C0TkZ1wJhMXFxYiJiZHLe/bsiaysrDqP56Oi\\\n",
       "RORLDIREREREZlwdISwuLpa/3rx5c53Hrl27Vv6awZCIfIGBkIiIiMhDoqOj5a979uxZZ/2RI0d6\\\n",
       "sTdERHVjICQiIiIy48oIYXR0NIqKipw6Rw2ODhKRr3CWUSJyyOOPPw5JkrBgwYI66y5evBitW7dG\\\n",
       "cHAw+vXrh3379pnsr6ysxMSJExEbG4vw8HCMGDEC+fn5Xuo5EZHzvDnL6JEjRxgGiajBYCAkojp9\\\n",
       "88032LNnD5KSkuqsu2bNGkyZMgWzZs1CdnY2rrvuOqSnp6OgoECu88wzz+C7775DZmYmtm3bhvPn\\\n",
       "z+POO+/05iUQETnFm4Gwc+fOVs913XXXefISiIgcwkBIRHbl5ubiySefxMqVKxEUFFRn/Xnz5uGR\\\n",
       "Rx7Bgw8+iE6dOmHZsmUIDQ3Fxx9/DADQarX46KOPMG/ePAwcOBC9evXCJ598gl27dmHPnj3evhwi\\\n",
       "IofV5xqEAPD//t//81hbRESOYiAkIpuMRiPuv/9+PPfccxa/0bZGp9PhwIEDSEtLk8tUKhXS0tKw\\\n",
       "e/duAMCBAweg1+tN6nTo0AEtW7aU6xAR+Zo3RwiFEDY3IqL6xklliMimt956C4GBgXjqqaccql9Y\\\n",
       "WAiDwYD4+HiT8vj4eBw7dgwAkJeXB7VabTITX02dvLw8m21XVVWhqqpK/r6kpMTBqyAiIiIiWzhC\\\n",
       "SEQAgJUrVyI8PFzetm3bhoULF2LFihUefSTKVXPmzEFUVJS8JScn+7pLRNSIeXOEkIioIWEgJCIA\\\n",
       "wLBhw3Do0CF527VrFwoKCtCyZUsEBgYiMDAQZ8+exbPPPovWrVtbbaNp06YICAiwmDE0Pz8fCQkJ\\\n",
       "AICEhATodDqTxZvN61gzbdo0aLVaeTt37pxb10tEZA8DIREpBR8ZJSIAQEREBCIiIuTvH330UQwd\\\n",
       "OtSkTnp6Ou6//348+OCDVttQq9Xo1asXsrKykJGRAeDqe4hZWVmYNGkSAKBXr14ICgpCVlYWRowY\\\n",
       "AQA4fvw4cnJykJqaarN/Go0GGo3GnUskInKYK+sQEhH5IwZCIrIqNjYWsbGxJmVBQUFISEjAtdde\\\n",
       "K5cNGjQI//rXv+TAN2XKFIwbNw69e/dG3759sWDBApSVlckhMioqCuPHj8eUKVPQpEkTREZG4skn\\\n",
       "n0Rqaiquv/76+rtAIiI7GAiJSCkYCInILSdPnkRhYaH8/ahRo3Dx4kXMnDkTeXl56N69OzZs2GAy\\\n",
       "0cz8+fOhUqkwYsQIVFVVIT09HUuWLPFF94mIrGIgJCKlkATnOCYiP1RSUoJ58+bxRoyIrHr55Zeh\\\n",
       "1WoRGRnp1HExMTEoLi7G+fPnHT62pKQESUlJiI6ORlFRkSvdJSLyGU4qQ0REREREpFB8ZJSIiIjI\\\n",
       "DB8ZJSKlYCAkIiIiMsNASERKwUBIREREZIaBkIiUgoGQiIiIyAwDIREpBQMhERERkRkGQiJSCs4y\\\n",
       "SkREREREpFAcISQiIiIywxFCIlIKBkIiIiIiMwyERKQUDIREREREZhgIiUgpGAiJiIiIzDAQEpFS\\\n",
       "MBASERERmWEgJCKl4CyjRERERERECsURQiLyS0IIX3eBiBo4d/4/UVpa6vDIX2lpqcvnISLyNQZC\\\n",
       "IvJLpaWlmD17tq+7QUQNWGlpKaKiopw6pkOHDtizZw+Sk5OdPl+HDh2cPoaIyNckwV+zE5EfMhqN\\\n",
       "OH/+PCIiIhT9/k5JSQmSk5Nx7tw5REZG+ro7PsPP4Sp+DlcJIVBaWoqkpCSoVM6/HZOamopjx445\\\n",
       "dUyHDh2we/dup89FRORrDIRERH6spKQEUVFR0Gq1ig4A/Byu4udARETO4qQyRERERERECsVASERE\\\n",
       "REREpFAMhEREfkyj0WDWrFnQaDS+7opP8XO4ip8DERE5i+8QEhERERERKRRHCImIiIiIiBSKgZCI\\\n",
       "iIiIiEihGAiJiIiIiIgUioGQiKgB0ev1mDp1Krp27YqwsDAkJSVh7NixOH/+fJ3HLl68GK1bt0Zw\\\n",
       "cDD69euHffv2meyvrKzExIkTERsbi/DwcIwYMQL5+fneuhS31HUt5jIzM9GhQwcEBweja9eu+PHH\\\n",
       "H032CyEwc+ZMJCYmIiQkBGlpaThx4oQ3L8Ftc+bMQZ8+fRAREYFmzZohIyMDx48fr/O4xvhZEBGR\\\n",
       "9zAQEhE1IOXl5cjOzsaMGTOQnZ2Nr7/+GsePH8ewYcPsHrdmzRpMmTIFs2bNQnZ2Nq677jqkp6ej\\\n",
       "oKBArvPMM8/gu+++Q2ZmJrZt24bz58/jzjvv9PYlOc2Ra6lt165dGD16NMaPH4+DBw8iIyMDGRkZ\\\n",
       "OHz4sFxn7ty5eO+997Bs2TLs3bsXYWFhSE9PR2VlZX1dltO2bduGiRMnYs+ePdi4cSP0ej1uu+02\\\n",
       "lJWV2TymsX4WRETkRYKIiBq0ffv2CQDi7NmzNuv07dtXTJw4Uf7eYDCIpKQkMWfOHCGEEMXFxSIo\\\n",
       "KEhkZmbKdY4ePSoAiN27d3uv8y6o61rM3X333WLIkCEmZf369ROPPfaYEEIIo9EoEhISxNtvvy3v\\\n",
       "Ly4uFhqNRqxatcoLV+AdBQUFAoDYtm2bzTpK+SyIiMhzOEJIRNTAabVaSJKE6Ohoq/t1Oh0OHDiA\\\n",
       "tLQ0uUylUiEtLQ27d+8GABw4cAB6vd6kTocOHdCyZUu5TkPgyLWY2717t0l9AEhPT5frnz59Gnl5\\\n",
       "eSZ1oqKi0K9fvwZ17XXRarUAgCZNmtiso5TPgoiIPIeBkIioAausrMTUqVMxevRoREZGWq1TWFgI\\\n",
       "g8GA+Ph4k/L4+Hjk5eUBAPLy8qBWqy1CZe06DYEj12IuLy+vzmuvKXO0zYbGaDRi8uTJuPHGG9Gl\\\n",
       "Sxeb9ZTwWRARkWcxEBIR+dDKlSsRHh4ubzt27JD36fV63H333RBCYOnSpT7sJfnaxIkTcfjwYaxe\\\n",
       "vdrXXSEiokYm0NcdICJSsmHDhqFfv37y982bNwfwvzB49uxZbN682eboIAA0bdoUAQEBFjOG5ufn\\\n",
       "IyEhAQCQkJAAnU6H4uJik1HC2nUaAkeuxVxCQkKd115TlpiYaFKne/fuHuy9d0yaNAnff/89tm/f\\\n",
       "jhYtWtit29g/CyIi8jyOEBIR+VBERATatm0rbyEhIXIYPHHiBDZt2oTY2Fi7bajVavTq1QtZWVly\\\n",
       "mdFoRFZWFlJTUwEAvXr1QlBQkEmd48ePIycnR67TEDhyLeZSU1NN6gPAxo0b5fopKSlISEgwqVNS\\\n",
       "UoK9e/c2qGs3J4TApEmT8M0332Dz5s1ISUmp85jG+lkQEZEX+XpWGyIi+h+dTieGDRsmWrRoIQ4d\\\n",
       "OiQuXLggb1VVVXK9gQMHivfff1/+fvXq1UKj0YgVK1aII0eOiEcffVRER0eLvLw8uc7jjz8uWrZs\\\n",
       "KTZv3iz2798vUlNTRWpqar1enyPqupb7779fvPDCC3L9X375RQQGBop33nlHHD16VMyaNUsEBQWJ\\\n",
       "33//Xa7z5ptviujoaLF+/Xrx//7f/xPDhw8XKSkpoqKiot6vz1ETJkwQUVFRYuvWrSZ/DsrLy+U6\\\n",
       "SvksiIjIexgIiYgakNOnTwsAVrctW7bI9Vq1aiVmzZplcuz7778vWrZsKdRqtejbt6/Ys2ePyf6K\\\n",
       "igrxxBNPiJiYGBEaGir+9a9/iQsXLtTDVTnP3rX0799fjBs3zqT+V199Jdq3by/UarXo3Lmz+OGH\\\n",
       "H0z2G41GMWPGDBEfHy80Go0YNGiQOH78eH1cists/Tn45JNP5DpK+SyIiMh7JCGE8M3YJBERERER\\\n",
       "EfkS3yEkIiIiIiJSKAZCIiIiIiIihWIgJCIiIiIiUigGQiIiIiIiIoViICQiIiIiIlIoBkIiIiIi\\\n",
       "IiKFYiAkIiIiIiJSKAZCIiIiIiIihWIgJCIiv/DRRx/htttu8/p5NmzYgO7du8NoNHr9XERERL7G\\\n",
       "QEhERA1eZWUlZsyYgVmzZnn9XIMHD0ZQUBBWrlzp9XMRERH5GgMhERE1eGvXrkVkZCRuvPHGejnf\\\n",
       "Aw88gPfee69ezkVERORLDIRERFRvLl68iISEBLzxxhty2a5du6BWq5GVlWXzuNWrV2Po0KEmZQMG\\\n",
       "DMDkyZNNyjIyMvDAAw/I37du3RqvvfYaxo4di/DwcLRq1QrffvstLl68iOHDhyM8PBzdunXD/v37\\\n",
       "TdoZOnQo9u/fj5MnT7p+sURERH6AgZCIiOpNXFwcPv74Y7z88svYv38/SktLcf/992PSpEkYNGiQ\\\n",
       "zeN27tyJ3r17u3TO+fPn48Ybb8TBgwcxZMgQ3H///Rg7dizGjBmD7OxstGnTBmPHjoUQQj6mZcuW\\\n",
       "iI+Px44dO1w6JxERkb9gICQionp1++2345FHHsF9992Hxx9/HGFhYZgzZ47N+sXFxdBqtUhKSnL5\\\n",
       "fI899hjatWuHmTNnoqSkBH369MHIkSPRvn17TJ06FUePHkV+fr7JcUlJSTh79qxL5yQiIvIXDIRE\\\n",
       "RFTv3nnnHVRXVyMzMxMrV66ERqOxWbeiogIAEBwc7NK5unXrJn8dHx8PAOjatatFWUFBgclxISEh\\\n",
       "KC8vd+mcRERE/oKBkIiI6t3Jkydx/vx5GI1GnDlzxm7d2NhYSJKEoqKiOts1GAwWZUFBQfLXkiTZ\\\n",
       "LDNfZuLy5cuIi4ur85xERET+jIGQiIjqlU6nw5gxYzBq1Ci8+uqrePjhhy1G52pTq9Xo1KkTjhw5\\\n",
       "YrHP/DHPU6dOeaSPlZWVOHnyJHr06OGR9oiIiBoqBkIiIqpXL730ErRaLd577z1MnToV7du3x0MP\\\n",
       "PWT3mPT0dOzcudOifP369fj6669x8uRJvP766zhy5AjOnj2L3Nxct/q4Z88eaDQapKamutUOERFR\\\n",
       "Q8dASERE9Wbr1q1YsGABPv/8c0RGRkKlUuHzzz/Hjh07sHTpUpvHjR8/Hj/++CO0Wq1J+ZAhQzB3\\\n",
       "7lx06tQJ27dvx5IlS7Bv3z58/vnnbvVz1apVuO+++xAaGupWO0RERA2dJGrPs01ERNRAjRw5Ej17\\\n",
       "9sS0adMAXF2HsHv37liwYIFHz1NYWIhrr70W+/fvR0pKikfbJiIiamg4QkhERH7h7bffRnh4uNfP\\\n",
       "c+bMGSxZsoRhkIiIFIEjhERE5Je8NUJIRESkJAyERERERERECsVHRomIiIiIiBSKgZCIiIiIiEih\\\n",
       "GAiJiIiIiIgUioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEih\\\n",
       "GAiJiIiIiIgUioGQiIiIiIhIoRgIiYiIiIiIFIqBkIiIiIiISKEYCImIiIiIiBSKgZCIiIiIiEih\\\n",
       "/j+DTL9h0NkkQAAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[41] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAas9JREFUeJzt3Xl4FEXCBvC3J8lMTiYhCQnhjNxyyB2jKCJZoyIYRUBW5BBF\\\n",
       "EFRAV0QFBFnxQERE5HNFcV3kiKugyOJyI3LJpXKKEG5CCJBJSEgymanvD570MjM990wmk35/z9PP\\\n",
       "Zqqrq6uHuPRLdVdJQggBIiIiIiIiUh1NoDtAREREREREgcFASEREREREpFIMhERERERERCrFQEhE\\\n",
       "RERERKRSDIREREREREQqxUBIRERERESkUgyEREREREREKsVASEREREREpFIMhERERERERCrFQEhE\\\n",
       "RERERKRSDIREREREREQqxUBIRERERESkUgyEREREREREKsVASEREREREpFIMhERE5JGNGzdCkiRs\\\n",
       "3Lgx0F0hH9u5cye0Wi1OnjxZ5ee+dOkSoqKisGrVqio/NxGRGjEQEhGRQ/PmzcPChQsD3Q2PfPXV\\\n",
       "V5g9e3aguwEAMJvNeOedd5Camorw8HC0a9cOixcvdvn4goICjBgxAomJiYiKikKPHj2wZ88em3pL\\\n",
       "ly7FoEGD0KxZM0iShLvuusvtvr766qsYOHAgGjVq5Pax3oqPj8eTTz6JSZMmVfm5iYjUSBJCiEB3\\\n",
       "goiIqq82bdogISHBZiTQbDajvLwcWq0WGk31/PfFBx54APv378eJEycC3RVMnDgRb731Fp566il0\\\n",
       "6dIFK1aswA8//IDFixfj0UcfdXis2WzGHXfcgV9//RV/+9vfkJCQgHnz5uH06dPYvXs3mjVrJte9\\\n",
       "6667sHv3bnTp0gX79u1Du3bt3BrF3bdvHzp06ICtW7ciPT3d08v1yqFDh3DzzTdj3bp1uPvuuwPS\\\n",
       "ByIitWAgJCJyQXFxMaKiogLdjYCwFwiDQXUJhGfPnkVqaipGjBiBuXPnAgCEEOjevTtycnJw4sQJ\\\n",
       "hISE2D1+2bJlGDBgALKzs/HII48AAC5evIjmzZvjvvvuw1dffSXXPX36NOrVqweNRuPRn93zzz+P\\\n",
       "5cuX48SJE5AkybML9oG2bduiQ4cO+Oc//xmwPhARqUH1/CddIiI/Onv2LIYPH46UlBTodDqkpqZi\\\n",
       "1KhRKC8vBwAsXLgQkiRh06ZNeOaZZ1CnTh3Ur19fPn7evHlo3bo1dDodUlJSMHr0aBQUFFic4+jR\\\n",
       "o+jbty+Sk5MRHh6O+vXr49FHH4XBYJDrrFmzBt26dUNsbCyio6PRokULvPLKK07778pxZWVlmDJl\\\n",
       "Cpo2bQqdTocGDRrgpZdeQllZmU17//rXv9C1a1dERkYiLi4Od955J/773/8CABo3bowDBw5g06ZN\\\n",
       "kCTJ4hFEe+8QZmdno1OnToiIiEBCQgIGDRqEs2fPWtQZOnQooqOjcfbsWWRlZSE6OhqJiYl48cUX\\\n",
       "YTKZnH4HK1asQK9eveQ/wyZNmuCNN96wOPauu+7CDz/8gJMnT8p9b9y4sd02hw4dKtez3l5//XWn\\\n",
       "fXLWX6PRiGeeeUYukyQJo0aNwpkzZ7Bt2zaHx3/99ddISkrCww8/LJclJiaif//+WLFihcWfa4MG\\\n",
       "DbwasV2+fDnuvvtumzBo73to3Lgxhg4dKn+u/O9ny5YteO6555CYmIjY2Fg8/fTTKC8vR0FBAQYP\\\n",
       "Hoy4uDjExcXhpZdegtK/Tf/lL3/B999/r7iPiIh8JzTQHSAiqkrnzp1D165d5fexWrZsibNnz+Lr\\\n",
       "r79GSUkJtFqtXPeZZ55BYmIiJk+ejOLiYgDA66+/jqlTpyIjIwOjRo3CkSNH8PHHH+OXX37Bzz//\\\n",
       "jLCwMJSXlyMzMxNlZWV49tlnkZycjLNnz2LlypUoKCiAXq/HgQMH8MADD6Bdu3aYNm0adDod/vzz\\\n",
       "T/z8888O++/KcWazGX369MGWLVswYsQItGrVCr///jvef/99/PHHH1i+fLlcd+rUqXj99ddx2223\\\n",
       "Ydq0adBqtdixYwfWr1+Pe+65B7Nnz8azzz6L6OhovPrqqwCApKQku/1buHAhhg0bhi5dumDGjBm4\\\n",
       "cOECPvjgA/z888/Yu3cvYmNj5bomkwmZmZlIS0vDzJkzsXbtWrz33nto0qQJRo0a5fB7WLhwIaKj\\\n",
       "ozF+/HhER0dj/fr1mDx5MgoLC/Huu+8CuP4enMFgwJkzZ/D+++8DAKKjo+22+fTTTyMjI8OibPXq\\\n",
       "1Vi0aBHq1Kkjl+Xn5zvsW6WYmBjodDoAwN69exEVFYVWrVpZ1Onatau8v1u3bnbb2rt3Lzp27GgT\\\n",
       "9Lp27YpPPvkEf/zxB9q2betSvxw5e/YsTp06hY4dO3rdVuXv/tSpU7F9+3Z88skniI2NxdatW9Gw\\\n",
       "YUO8+eabWLVqFd599120adMGgwcPtji+U6dOeP/993HgwAG0adPG6/4QEZEdgohIRQYPHiw0Go34\\\n",
       "5ZdfbPaZzWYhhBCff/65ACC6desmKioq5P15eXlCq9WKe+65R5hMJrl87ty5AoD47LPPhBBC7N27\\\n",
       "VwAQ2dnZdvvx/vvvCwDi4sWLbvXfleO+/PJLodFoxE8//WRRPn/+fAFA/Pzzz0IIIY4ePSo0Go14\\\n",
       "6KGHLK5HiP99F0II0bp1a9G9e3eb82zYsEEAEBs2bBBCCFFeXi7q1Kkj2rRpI65duybXW7lypQAg\\\n",
       "Jk+eLJcNGTJEABDTpk2zaLNDhw6iU6dOjr8EIURJSYlN2dNPPy0iIyNFaWmpXNarVy/RqFEjp+0p\\\n",
       "OXr0qNDr9eIvf/mLxe8BAJe2zz//3KIfN910k805iouLBQDx8ssvO+xLVFSUeOKJJ2zKf/jhBwFA\\\n",
       "rF69WvE4e3929qxdu1YAEN9//73NPgBiypQpNuWNGjUSQ4YMkT9X/veTmZlp8XuUnp4uJEkSI0eO\\\n",
       "lMsqKipE/fr1Ffu4detWAUAsXbrU5f4TEZH7+MgoEamG2WzG8uXL0bt3b3Tu3Nlmv/Ujck899ZTF\\\n",
       "e11r165FeXk5xo4dazFS89RTT6FWrVr44YcfAAB6vR4A8OOPP6KkpESxL5UjZStWrIDZbHb5Glw5\\\n",
       "Ljs7G61atULLli2Rn58vb5WTc2zYsAHA9UcDzWYzJk+ebDPy5Mm7Y7t27UJeXh6eeeYZhIeHy+W9\\\n",
       "evVCy5Yt5e/nRiNHjrT4fMcdd+D48eNOzxURESH/XFRUhPz8fNxxxx0oKSnB4cOH3e67teLiYjz0\\\n",
       "0EOIi4vD4sWLLX4P1qxZ49KWmZkpH3Pt2jV5tPBGld/TtWvXHPbH2+NddenSJQBAXFyc120NHz7c\\\n",
       "4vcoLS0NQggMHz5cLgsJCUHnzp0V/8wr++DqiCwREXmGj4wSkWpcvHgRhYWFLj9+lpqaavG5ck22\\\n",
       "Fi1aWJRrtVrcdNNN8v7U1FSMHz8es2bNwqJFi3DHHXegT58+GDRokBwWBwwYgE8//RRPPvkkXn75\\\n",
       "ZfTs2RMPP/wwHnnkEYfvf7ly3NGjR3Ho0CEkJiYqtpGXlwcAOHbsGDQaDW6++WaXvg9n7H0/ANCy\\\n",
       "ZUts2bLFoiw8PNymj3Fxcbhy5YrTcx04cACvvfYa1q9fj8LCQot9N76n6amnnnoKx44dw9atWxEf\\\n",
       "H2+xz/qxUldEREQovr9ZWloq7/fn8e4SPnhvr2HDhhafK3/3GzRoYFOu9Gde2YdATmxDRKQGDIRE\\\n",
       "RHZ4c5P93nvvYejQoVixYgX++9//4rnnnsOMGTOwfft21K9fHxEREdi8eTM2bNiAH374AatXr8bS\\\n",
       "pUtx991347///a/dGSddOc5sNqNt27aYNWuWYhvWN+SB4mhWTUcKCgrQvXt31KpVC9OmTUOTJk0Q\\\n",
       "Hh6OPXv2YMKECW6NuCr54IMPsHjxYvzrX/9C+/btbfbn5ua61I5er5d/h+rWrYsNGzZACGERcM6f\\\n",
       "Pw8ASElJcdhW3bp15bo3cvV4V1WGX1dCeSV74dHen69SuVIblX1ISEhwuS9EROQ+PjJKRKqRmJiI\\\n",
       "WrVqYf/+/R4dX7lI95EjRyzKy8vLkZOTY7OId9u2bfHaa69h8+bN+Omnn3D27FnMnz9f3q/RaNCz\\\n",
       "Z0/MmjULBw8exN///nesX79efqTTHmfHNWnSBJcvX0bPnj2RkZFhs1WO4DVp0gRmsxkHDx50eD5X\\\n",
       "R2jsfT+VZb5a5Hzjxo24dOkSFi5ciOeffx4PPPAAMjIyFB9zdHd06aeffsKLL76IsWPH4rHHHlOs\\\n",
       "U7duXZe2pUuXyse0b98eJSUlOHTokEVbO3bskPc70r59e+zZs8cm7O7YsQORkZFo3ry5W9dpT8uW\\\n",
       "LQEAOTk5ivuLiopsyipHnH2tsg/WE/EQEZFvMRASkWpoNBpkZWXh+++/x65du2z2O3tMLiMjA1qt\\\n",
       "FnPmzLGou2DBAhgMBvTq1QsAUFhYiIqKCotj27ZtC41GIz/2d/nyZZv2K0OB0qOBlVw5rn///jh7\\\n",
       "9iz+8Y9/2NS9du2aPGNqVlYWNBoNpk2bZhM0bry+qKgom2U1lHTu3Bl16tTB/PnzLa7hP//5Dw4d\\\n",
       "OiR/P96qHGG6sY/l5eWYN2+eTd2oqCiXHyE9f/48+vfvj27duskzlSrx5B3CBx98EGFhYRZ9FEJg\\\n",
       "/vz5qFevHm677TaLfhw+fBhGo1Eue+SRR3DhwgV88803cll+fj6ys7PRu3dvxfcLPVGvXj00aNBA\\\n",
       "8b8PADZLjPznP/9BaWmpX5aG2L17N/R6PVq3bu3ztomI6H/4yCgRqcqbb76J//73v+jevbu8JMP5\\\n",
       "8+eRnZ2NLVu2WCyLYC0xMRETJ07E1KlTce+996JPnz44cuQI5s2bhy5dumDQoEEAgPXr12PMmDHo\\\n",
       "168fmjdvjoqKCnz55ZcICQlB3759AQDTpk3D5s2b0atXLzRq1Ah5eXmYN28e6tev73D5AVeOe/zx\\\n",
       "x7Fs2TKMHDkSGzZswO233w6TyYTDhw9j2bJl+PHHH9G5c2c0bdoUr776Kt544w3ccccdePjhh6HT\\\n",
       "6fDLL78gJSUFM2bMAHB9+v+PP/4Y06dPR9OmTVGnTh15gpobhYWF4e2338awYcPQvXt3DBw4UF52\\\n",
       "onHjxhg3bpynf2wWbrvtNsTFxWHIkCF47rnnIEkSvvzyS8VQ0qlTJyxduhTjx49Hly5dEB0djd69\\\n",
       "eyu2+9xzz+HixYt46aWXsGTJEot97dq1Q7t27QB49g5h/fr1MXbsWLz77rswGo3o0qULli9fjp9+\\\n",
       "+gmLFi2yeIxy4sSJ+OKLL5CTkyOvm/jII4/g1ltvxbBhw3Dw4EEkJCRg3rx5MJlMmDp1qsW5Nm/e\\\n",
       "jM2bNwO4/t5scXExpk+fDgC48847ceeddzrs64MPPohvv/3W5vFWADh06BDuv/9+9OnTB+fOncMH\\\n",
       "H3wAvV6PrVu3YvHixRg4cKDb3409a9asQe/evfkOIRGRvwVialMiokA6efKkGDx4sEhMTBQ6nU7c\\\n",
       "dNNNYvTo0aKsrEwI8b9p85WWphDi+jITLVu2FGFhYSIpKUmMGjVKXLlyRd5//Phx8cQTT4gmTZqI\\\n",
       "8PBwUbt2bdGjRw+xdu1auc66devEgw8+KFJSUoRWqxUpKSli4MCB4o8//nDYd1ePKy8vF2+//bZo\\\n",
       "3bq10Ol0Ii4uTnTq1ElMnTpVGAwGi7qfffaZ6NChg1yve/fuYs2aNfL+3Nxc0atXLxETEyMAyEsE\\\n",
       "WC87UWnp0qVye7Vr1xaPPfaYOHPmjEWdIUOGiKioKJvrmzJlinDlr6aff/5Z3HrrrSIiIkKkpKSI\\\n",
       "l156Sfz44482/bl69ar461//KmJjYwUAh0tQdO/e3e4SEkrLLbjLZDKJN998UzRq1EhotVrRunVr\\\n",
       "8a9//cumXuWSHDk5ORblly9fFsOHDxfx8fEiMjJSdO/eXfF3tPI79PQ69uzZIwDYLFsCQIwfP170\\\n",
       "69dPREREiLp164q5c+eK+fPni8jISPHkk08KIez/91PZL+slU5R+Fw4dOiQAWPw3Q0RE/iEJ4Yfn\\\n",
       "PIiIiCho9ezZEykpKfjyyy/lMkmSMGXKFLz++ut+P//YsWOxefNm7N69myOERER+xncIiYiIyMKb\\\n",
       "b76JpUuXykuJVKVLly7h008/xfTp0xkGiYiqAN8hJCIiIgtpaWkoLy8PyLnj4+Nx9erVgJybiEiN\\\n",
       "OEJIRERERESkUhwhJCIiIqc45QARUc3EEUIiIiIiIiKVYiAkIiIiIiJSKT4ySkRByWw249y5c4iJ\\\n",
       "ieFMhERkQQiBoqIipKSkQKNx/9++09LScOTIEbeOadGiBXbs2OH2uYiIAo3rEBJRUDpz5gw+/fTT\\\n",
       "QHeDiKqpqVOn4vTp06hfv75bx6WlpWHnzp0enbNr164MhUQUdDhCSERBKSYmBgA4OkhEdlX+/4Q7\\\n",
       "3B0Z9PRYpf/vqvw3+qFDh+KLL75QPI7/jk9EvsZASERBiUGQiJzx9v8nXD3e1yHt3//+t0/bIyJy\\\n",
       "hIGQiIiIyIokSW4FSndD4Y31rc9TVFSk2J/K/+UoIRH5EmcZJSIiIrJSGQhd3QDAYDAgNjZW3nr0\\\n",
       "6OHzfun1ep+3SUTqxhFCIiIiIivujhBWMhgM8s8bN270SV/S0tLknwsKCnzSJhFRJQZCIiIiIiue\\\n",
       "BsIbR/A6dOjgdT+GDh0qz3rK0UEi8gcGQiIiIiIrngRCvV7v0xG8G2cbDQkJ4eggEfkF3yEkIiIi\\\n",
       "qmasl56oqKgIYG+IqCZjICQiIiKy4smkMu5ISkqyObbys9I6hJX7srKyvL00IiILfGSUiIiIyIqn\\\n",
       "Qc9VeXl5dvfZW5QeAFasWOGP7hCRijEQEhEREVnxdyDkWoJEVF0wEBIRERFZ8XcgJCKqLhgIiYiI\\\n",
       "iKwwEBKRWnBSGSIiIiIiIpXiCCERERGRFY4QEpFacISQiFz21ltvQZIkjB071mG97OxstGzZEuHh\\\n",
       "4Wjbti1WrVplsV8IgcmTJ6Nu3bqIiIhARkYGjh496seeExG5x9/LThARVRcMhETkkl9++QX/93//\\\n",
       "h3bt2jmst3XrVgwcOBDDhw/H3r17kZWVhaysLOzfv1+u884772DOnDmYP38+duzYgaioKGRmZqK0\\\n",
       "tNTfl0FE5BIGQiJSCwZCInLq6tWreOyxx/CPf/wDcXFxDut+8MEHuPfee/G3v/0NrVq1whtvvIGO\\\n",
       "HTti7ty5AK6PDs6ePRuvvfYaHnzwQbRr1w7//Oc/ce7cOSxfvrwKroaIyDkGQiJSCwZCInJq9OjR\\\n",
       "6NWrFzIyMpzW3bZtm029zMxMbNu2DQCQk5OD3Nxcizp6vR5paWlyHSVlZWUoLCy02IiI/IWBkIjU\\\n",
       "goGQiBxasmQJ9uzZgxkzZrhUPzc3F0lJSRZlSUlJyM3NlfdXltmro2TGjBnQ6/Xy1qBBA3cug4iI\\\n",
       "iIgUMBASkV2nT5/G888/j0WLFiE8PDygfZk4cSIMBoO8nT59OqD9IaKajSOERKQWXHaCiOzavXs3\\\n",
       "8vLy0LFjR7nMZDJh8+bNmDt3LsrKyhASEmJxTHJyMi5cuGBRduHCBSQnJ8v7K8vq1q1rUad9+/Z2\\\n",
       "+6LT6aDT6by9JCIilzDoEZFacISQiOzq2bMnfv/9d+zbt0/eOnfujMceewz79u2zCYMAkJ6ejnXr\\\n",
       "1lmUrVmzBunp6QCA1NRUJCcnW9QpLCzEjh075DpERNUBRweJSA04QkhEdsXExKBNmzYWZVFRUYiP\\\n",
       "j5fLBw8ejHr16snvGD7//PPo3r073nvvPfTq1QtLlizBrl278MknnwCAvI7h9OnT0axZM6SmpmLS\\\n",
       "pElISUlBVlZWlV4fEZE97oQ9hkIiCmYMhETklVOnTkGj+d/DBrfddhu++uorvPbaa3jllVfQrFkz\\\n",
       "LF++3CJYvvTSSyguLsaIESNQUFCAbt26YfXq1QF/T5GIqBIDIRGphSSEEIHuBBGRuwoLCzFr1ize\\\n",
       "iBGRotdffx0GgwG1atVy67jY2FgYDAYkJCRY/GOXI2azGfn5+dDr9SgoKPCgt0REgcN3CImIiIiI\\\n",
       "iFSKj4wSERERWeEjo0SkFgyERERERFYYCIlILRgIiajGmzJlSqC7QEQ+NHXqVL+fg4GQiNSCgZCI\\\n",
       "iIjICgMhEakFAyERERGRFQZCIlILzjJKRERERESkUhwhJCIiIrLCEUIiUgsGQiIiIiIrDIREpBYM\\\n",
       "hERERERWGAiJSC0YCImIiIisMBASkVowEBIRERFZYSAkIrXgLKNEREREREQqxRFCIiIiIiscISQi\\\n",
       "tWAgJCIiIrLCQEhEasFASERERGSFgZCI1IKBkIiIiMgKAyERqQUDIREREZECBj0iUgPOMkpERERE\\\n",
       "RKRSHCEkIiIissJHRolILRgIiYiIiKwwEBKRWjAQEhEREVlhICQitWAgJCIiIrLCQEhEasFASERE\\\n",
       "RGSFgZCI1IKBkIiIiMgKAyERqQWXnSAiIiIiIlIpjhASERERWeEIIRGpBQMhERERkRUGQiJSCz4y\\\n",
       "SkRERGSlMhC6uvmi/RsdOHDAJ+chInKGgZCIiIjIir8DoTNt2rRRLE9LS/P5uYhI3RgIiYiIiKz4\\\n",
       "OxAKIeTN2oEDB2zqRUdHAwB27tzp+UURESlgICQiIiKqRpRGB4uKigLQEyJSAwZCIiIiIiuejBAa\\\n",
       "DAbExsbKW48ePQJ8FUREznGWUSIiIiIrns4yajAY5J83btzo624REfkcAyERERGRFU8DoV6vl3/u\\\n",
       "0KGDz/tFRORrDIREREREVjwJhHq9HgUFBV6fe//+/TbvEcbGxnrdLhGREgZCIiIiIiv+Xpg+KSkJ\\\n",
       "eXl5iu3cOPOoddtdu3Z1+1xERI5wUhkiIiKiKmYdBq3t379fsXzHjh3+6A4RqRhHCImIiIis+HuE\\\n",
       "UGn9wRu1bt3aaR0iIl9gICQiIiJS4EnQIyIKNgyERERERFb8PUJIRFRdMBASERERWWEgJCK1YCAk\\\n",
       "IiIissJASERqwUBIREREZIWBkIjUgstOEBERERERqRRHCImIiIiscISQiNSCgZCIiIjICgMhEakF\\\n",
       "AyERERGRFQZCIlILBkIiIiIiKwyERKQWDIREREREVhgIiUgtOMsoERERERGRSnGEkIioGrM38iCE\\\n",
       "qOKeBI4QAhqN5/9+6ey7Utvojpp+d7zBEUIiUgsGQiKiIONNOApGFRUVfmub4YjsYSAkIrVgICQi\\\n",
       "CjL+DEjV0YULFzw+9urVqw7363Q6j9ummo2BkIjUgoGQiChIhIaGory8XHU3n3q93qPjnn32WURF\\\n",
       "RdndbzQaYTQaPe0W1XAMhESkFup67oiI3DJjxgx06dIFMTExqFOnDrKysnDkyBGnx2VnZ6Nly5YI\\\n",
       "Dw9H27ZtsWrVKov9QghMnjwZdevWRUREBDIyMnD06FF/XUZQE0LIm9FoVOWNZ0xMjN19N34/1tuc\\\n",
       "OXMctqvVar3um0ajqXZ/JqGhoYiNjQ10N4JeZSB0dSMiClYMhERk16ZNmzB69Ghs374da9asgdFo\\\n",
       "xD333IPi4mK7x2zduhUDBw7E8OHDsXfvXmRlZSErKwv79++X67zzzjuYM2cO5s+fjx07diAqKgqZ\\\n",
       "mZkoLS2tisuiIHTo0CGLz61atfLq/T9v3sOsqKiQQ6fJZILZbIYQAi1atPC4TV8ICQmR/+HgypUr\\\n",
       "EELgwIEDAe0TERFVfwyERGTX6tWrMXToULRu3Rq33HILFi5ciFOnTmH37t12j/nggw9w77334m9/\\\n",
       "+xtatWqFN954Ax07dsTcuXMBXB/RmT17Nl577TU8+OCDaNeuHf75z3/i3LlzWL58eRVdGQWbli1b\\\n",
       "Woz+HTx40KN2vvnmG0iS5HGYFEIgJCREcd/hw4c9atNXlN4tvfnmm7F27doA9Cb4cYSQiNSCgZCI\\\n",
       "XGYwGAAAtWvXtltn27ZtyMjIsCjLzMzEtm3bAAA5OTnIzc21qKPX65GWlibXUVJWVobCwkKLjYLD\\\n",
       "vHnzcPfdd8NsNgesD9euXYMkSejbt69fz/OXv/zFr+3bYzKZ7O7r2bMnatWqVYW9qRkYCIlILRgI\\\n",
       "icglZrMZY8eOxe233442bdrYrZebm4ukpCSLsqSkJOTm5sr7K8vs1VEyY8YM6PV6eWvQoIGnl0JV\\\n",
       "pHICnNGjR2PDhg0ICQkJ2CQukZGRXrdx5513Oq3z7bffen0ed91zzz1OH4E1GAyoX79+FfWoZmAg\\\n",
       "JCK1YCAkIpeMHj0a+/fvx5IlSwJy/okTJ8JgMMjb6dOnA9IPcp3Skg7OZgw9ceIEVq5c6dN+/Prr\\\n",
       "ry7X7dOnD5577jnFx0I3bdrk9HhHs5r6Q7du3fDjjz+6VPf06dNcd9FNDINEpAZcdoKInBozZgxW\\\n",
       "rlyJzZs3Ox1lSE5Otlk37sKFC0hOTpb3V5bVrVvXok779u3ttqvT6bhmnB+FhYVBkiSUl5f7pD1P\\\n",
       "Jm2xvrE2m80+udlu27at0zoVFRUWIfCDDz4AcH3kuqioCFeuXHH5fBqNxqPHY/v3749PPvkEQgi8\\\n",
       "/PLL8s9KwsPDUVJSwjDiR1x2gojUgiOERGSXEAJjxozBt99+i/Xr1yM1NdXpMenp6Vi3bp1F2Zo1\\\n",
       "a5Ceng4ASE1NRXJyskWdwsJC7NixQ65DVau0tBQVFRU+W5dv69atdoPMuXPnFMvfeecdmzJ7k7cA\\\n",
       "1383XR2h0Wg0GDdunOK+ZcuWOZwo5sKFCygpKXHrHyMcvc+nJDY2FkIILF26FHq9HrGxsZg/f748\\\n",
       "e6nZbMb58+fx559/yjOcVr4TSURE5C0GQiKya/To0fjXv/6Fr776CjExMcjNzUVubi6uXbsm1xk8\\\n",
       "eDAmTpwof37++eexevVqvPfeezh8+DBef/117Nq1C2PGjAFw/V/Sx44di+nTp+O7777D77//jsGD\\\n",
       "ByMlJQVZWVlVfYmE66NNpaWlKC0tRVhYmEvH1KlTB5IkISYmxmJEuEePHrj99tvtHmdvfbzXX3/d\\\n",
       "pszR443WI5CSJKGkpMRu/VmzZkEIgUOHDuHzzz9HSUkJhBDo16+f3WO84eqjmZIkOR19lCQJycnJ\\\n",
       "aNKkicOQTL7FdwiJSC34yCgR2fXxxx8DAO666y6L8s8//xxDhw4FAJw6dcri5vy2227DV199hdde\\\n",
       "ew2vvPIKmjVrhuXLl1tMRPPSSy+huLgYI0aMQEFBAbp164bVq1cjPDzc79dEytwZAbvx5vfq1avy\\\n",
       "Y8DeGDFihPyYptJ5btSnTx/F8qioKKdBrGXLlmjZsqVnnXSTEALR0dEO1+10dzSRqg4fGSUitZAE\\\n",
       "3zAnoiBUWFiIWbNmuXQjNmXKlCrokTp06dIFu3bt8vh4R3/lWP9ZmkwmxXcRHf2Z161b1+5jqYES\\\n",
       "Hh6OsrIyxX2B+Cu4JoSXiRMnQqvVOqwzdepUGAwGt5fciI2NhcFgwL333uvyiLnRaMTq1auh1+tR\\\n",
       "UFDg1vmIiAKNj4wSEZHLvAmDgOPlH4QQuPvuu5Gamgqz2ezRxDTnz5+HJElYuHChF730rdLSUoSG\\\n",
       "2j6Qw9HB6o2PjBKRWjAQEhGRS3wx8uFsMpR169bh+PHjXt9gDxs2TL5Rr6io8KotXzAajdi4cSOA\\\n",
       "60GjoKDAo8BLVYeBkIjUgn8bERGRS+Li4nzWlitLQdhTWFjoVn1XH/vzt+7du8uzhjpbjxG4vph8\\\n",
       "ZdiwNxkP+Q8DIRGpBQMhERE55etRtoMHD3p8bExMDHJycnzYG+eEEHbfA/SXG0OgwWDgDKNEROQX\\\n",
       "DIRERORUTEyMT9vbunWrV8c3btwYQgjUq1fPRz2yLyIiAhqNBuHh4ZAkqUomgvnvf/9rU2Y2m/Hj\\\n",
       "jz8q1q/qsKoGHCEkIrVgICQiIqdKS0t91tbXX3+NtLQ0n7R15swZp6OX8fHxHrdfUlJic+2uvPtn\\\n",
       "Nps9PicAdOrUSbH83nvvxaZNmwBcH7VMSEiAJElyWN27d69X56X/YSAkIrVgICQiIqfceX8wISEB\\\n",
       "ZrMZQgj5nbmKigr5c9++fX3at5CQEAghFN8tlCQJ+fn5Hrf97rvvKpafP39esbxjx46QJAkhISFe\\\n",
       "hQRHIfauu+6CJEnQaDS4dOmSzfnJNxgIiUgtGAiJiMipy5cvu1SvoqICFy9etLhBrgxI/hYTEwMh\\\n",
       "BIqLizF//nxcu3bN65G6sWPHKpanpKTYlDVq1MhmhO6ll16y23ZERAQkSUKDBg0U93vSdwYT32Eg\\\n",
       "JCK1YCAkIiKXOBrda968OYQQ1WLik8jISDz99NMIDw/3ui1Hs4GGhYXJo546nQ6nTp2yqWNvhFGj\\\n",
       "0ciPop45c0bxMVRJktxeq/Dq1atu1Sf7GAiJSC0YCImIyGVff/21HIJu3I4cORLorvnNI488olhe\\\n",
       "UVEBjUYDjUaD8vJyt9q0npjG3kQ1Go3G5fcCz5w5g8jISJfOHeybTqdjQCMi8pHQQHeAiIioOsvO\\\n",
       "zvY4YLgzoY0QQvE87du3dzq7aVXMfKo27gRLBlAiCmYcISQiInIiNNSzfz+1N6HNpEmTbMochQp7\\\n",
       "j44+8cQTDIN+wkdGiUgtGAiJiKjKCCGg0WgsbqQ1Gg1+//33QHcNAHDhwgWLvi1atAgFBQUevY/o\\\n",
       "6P2/adOmoaSkBPHx8XjqqaechjpJklBcXCwHj+joaAghsGDBArf7Ra5hICQiteAjo0REVCVMJpPi\\\n",
       "SJsQAu3atVM8pk6dOjh9+jS0Wq2/u4ddu3ahS5cuFmWDBg2CTqdzae1B4HqIqHy30JmIiAi3lsSI\\\n",
       "jIz0etZUch0fGSUiteAIIRERecTdRxU9eewyLy9PnkCkRYsWyM3NxZ9//okmTZpAo9EgPDwcRqPR\\\n",
       "YRthYWHyzf3y5cvt1rMOg5WMRiOysrKc9jU9PR1ms9nl8EjVG0cIiUgt+LcWERG5ZefOnfKjnpIk\\\n",
       "IT093ekxvrhh/uOPP1C3bl00a9YMx48fhxACZWVl0Gq1mD17tuIxGo0GFRUV8ueHHnpIcaKX+vXr\\\n",
       "2z1vTk4OvvrqK/znP/+xW0er1WLr1q2uXwwREVE1wUBIREQuqQyCaWlpFuXbt293eFxVjJiNGzfO\\\n",
       "JnSmp6crjmJevnwZkiTJS0WkpaXh7Nmziu2uWLECDRs2BADce++9iI6OVqxXVlbmsH9vv/02NBoN\\\n",
       "QkNDce7cOafXQ4HHEUIiUgsGQiIislFRUYHY2FiLG17rIOiKLVu2VOksmJIkISMjAyEhIU6DauWj\\\n",
       "qDt37lTcn5SUhD59+liUFRUV2QRcZ9c3f/58vPzyyxBCwGQyoV69ehaBlKovf4XB9957T7GdAwcO\\\n",
       "+OEqiIgc46QyREQqcfLkSZhMJqSmpjq8iQ0JCfHZ5CV33nmnT9pxx7p167w6XqfTobS01O5+k8kk\\\n",
       "h0BXwsCoUaPsnsdsNlfp6JLJZEJISEiVnS+Y+XNSmRdffFGxvE2bNlxGhIiqHEcIiYhquM8++wyS\\\n",
       "JKFx48byZCySJCE7O9ui3sMPPwxJklQ9k+X999/vMAxW8tVjgmFhYV634SpJkjxeT1GNquKRUSGE\\\n",
       "vBERBQr/ZiAiquGGDx+uWN6/f3+ftO/oHUGDwYBatWr55DxV4YcffqjS8zlaq9CX+I6b+zwZITQY\\\n",
       "DIiNjZXLO3TogA0bNjg8TgjBPx8iCiiOEBIRVWOtWrXCqlWrPD6+pKTEh71RZm+iFQCIiYlBWVmZ\\\n",
       "248p3nrrrTCbzaioqKiyRxxfffVVv7SbkZFhd59er/eq7colNW699Va7daoqdNY0no4QGgwGedu4\\\n",
       "caNi20uXLrU4TyWOFBJRIDAQEhFVY4cPH0avXr08HkGIjIz0cY9sOXvEUqvVoqKiwuLxuMoJVqzD\\\n",
       "nkajgRAC27ZtgyRJCAkJQUVFBXQ6nWLbb7zxhtyeK4u8O1rgfvr06U6P98SaNWvsjqIWFBR43G6r\\\n",
       "Vq3kJTV27Nhh99pOnz7t8TnIfXq9Xt7uuusuxToDBgxQLOdIIREFAgMhEVGQ8PR9M09HHawD3D33\\\n",
       "3KNYz9PZMivXCLQOiUpKS0tx5swZ+XO7du0ghMBrr70ml8XHx9u91sr2y8rKLM61e/dui0lilFSG\\\n",
       "0xs3V94zvFHlOYQQMJvNPnlv7MiRIxafjUaj4mhq48aNvTqPWnkyQqjX61FQUCBvjh4XBfgOIRFV\\\n",
       "DwyERERBYuHChR4f684NZ0REhGL9H3/80ePz+0K9evXkm+dff/3Vbr0bF6IPCQmxe+0ajQYdO3Z0\\\n",
       "uk7ibbfdZlMWERGBffv2udZxK74aBerSpYtNmb0Jgapy8pqagusQEpFaMBASEQWB9u3b47HHHvOq\\\n",
       "jRtHil544QWbEcDKzdF7h84WYK8OKkOgEMIiHHrC0XfRoUMHr9r21tatWxXLlf6MysvLudyEm6oi\\\n",
       "EDJQElF1wEBIRFSNVQabvXv3et3WqVOn5J9nzpzpURtarRYxMTEWZcOGDfOqX9WZs2Ua/vzzzyrq\\\n",
       "iS17Ae/y5cuK5ZWP55Jr/BkIa9eurVj+4IMP+qLrRERu4bITREQqcPnyZYvHCb1ZoLywsBC1a9fG\\\n",
       "lStXoNVq8dlnn/mqm9WOo0logOuTuTRt2rSKeuMaZ4/Akmv8uTD9pUuXPOkSEZFf8G8NIiIVSE1N\\\n",
       "tfg8Y8YMr9q7dOkSnnnmGRQXF3vVTjBwdLN/++23V2FPXMPHD4mIyB0MhEREKlBYWGjxedKkSV61\\\n",
       "J0kSPvroI6ePVNYE9iZqAarnDJ55eXmB7kKNwElliEgtGAiJiILU0aNHLW5I9+/fH+gu1VhCCJvw\\\n",
       "e/HixQD15rr58+crlr/55ptV3JOaiYGQiNSCgZCIKAiVlJSgefPmFmVt27Z1KxR6OsHIpEmTMHDg\\\n",
       "QI+O9caff/6JrKwsZGVlubQIva8ZjUZ5/UIhBBISEqq8D5Xy8/MxatQoxX1Lly6t4t7UTAyERKQW\\\n",
       "DIREREHIeqbPSm3btlUsVwpQ7t7EDhgwAJIkYfr06ViyZEmV3QT/9a9/hSRJaNasGVasWIEVK1Yg\\\n",
       "MTERjzzyiFftXr161eKGfvbs2S4dF+hJW06fPo3ExES7+x094kquYyAkIrVgICQiUoH4+HhcvXpV\\\n",
       "/uzu6GBJSQmWLVtmU/73v//d6745YjKZsHjxYsV9R44c8apd61A9btw4r9ZZjI+PhyRJ0Gg0MJlM\\\n",
       "HrfjTMOGDZ3WqVu3rt/OrxYMhESkFgyERERB6MKFC4rlcXFxdo+JioqS1zV0V506dRTLJ0+e7HZb\\\n",
       "7jh27Jjdfb///rvH7dqbDCc2Ntaj9jQajbz+n9L7hpXKysoQEhICnU7n0XlmzZrlUr3c3Fx07tzZ\\\n",
       "o3MQEZG6MBASEVVjWq0WKSkpuHbtmkV5QkICSktLLcr0er3dRcl90Q8l/h4ZsX5PspL1tfuKpyOE\\\n",
       "SiHb+rsxmUwIDw+H2WxGeXm5R9/diy++6HLd3bt3B/zx1mDGEUIiUgv+TUFEVI0ZjUacP38ekZGR\\\n",
       "SElJsdin0+nkET8hBAoKCvzWD3tLGRw/ftxv56xkNpvlEbWUlBQIIRyOsL311lvyTbq9dy3tCQ8P\\\n",
       "96qv1mrVqgUhBPLz8xVHDSVJwvHjx1FSUoJp06ahWbNmOHHihN323B3dFULYhBV3g0513MrKyix+\\\n",
       "95U2bzEQEpFa1PwFpIiIaojz588H7NyhoaHo3bs3vv/+e7ksJibGpffZvCVJkssjgmVlZZg4caL8\\\n",
       "+erVq7h06RLi4+NdOv7QoUMe91EphBQVFTkdpWvSpInF59TUVMX3ENPT0z3qG3A96PprVLWmcifo\\\n",
       "MRASUTBjICQKcjk5Ofjpp59w8uRJlJSUIDExER06dEB6errPRztI3b777jsA12csrZxApbqJioqy\\\n",
       "KUtNTUVhYaFLxzdq1Mij85rNZp9+H2azGbGxsfKo7+XLl7F9+3aP26scUauOf2bVGb8vIlIDBkKi\\\n",
       "ILVo0SJ88MEH2LVrF5KSkpCSkoKIiAhcvnwZx44dQ3h4OB577DFMmDDB45tcql6Uwk4gBHL9PWeU\\\n",
       "ZvcsKSlx6VhvZi0FlB/P9IbBYEDt2rVRXFyM8vJyxTo6nQ4mkwkVFRVO29NoNDh37pzP+lfTcYSQ\\\n",
       "iNSC7xASBaEOHTpgzpw5GDp0KE6ePInz589j9+7d2LJlCw4ePIjCwkKsWLECZrMZnTt3RnZ2dqC7\\\n",
       "TF7S6XQWy0Z4qri4GBqNBqGhoX5dGiFQbrrpJpsyV2/W7U1g446+fft63caNbr31VhiNRsV9FRUV\\\n",
       "KC0thdFotDsLrDXr91CJiIgYCImC0FtvvYUdO3bgmWeeQYMGDWz263Q63HXXXZg/fz4OHz6seJNM\\\n",
       "wcFsNkMI4ZP3v/Ly8hAdHQ0hBEwmE0JDQ7Fq1Sof9LL6+O2332zKrEfPZs6c6bfzf/vttz5rq6ys\\\n",
       "DKtWrcKtt95qs+/RRx9FSEiI/PnAgQM+Oy9dx0lliEgtGAiJglBmZqbLdePj49GpUyc/9ob8yZc3\\\n",
       "mk2bNrUp69Wrl8/arw4iIyOd1nnppZdcbq+goABNmzbF7t27ndbNy8uD2Wx2uW1HIiIi5KU+Fi1a\\\n",
       "ZLN/4cKFFp8ZSHyPgZCI1ILvEBLVEHl5eYo3pO3atQtQj6i6KSoqUiyvqKiwu5B6sLF3Yx4fH4/T\\\n",
       "p08jNTVVcTZQe0EyLi4OAORF3o1Go8V3VVZWhri4OJt1Ir1143uPqampNvutl90YP368w/bat2+P\\\n",
       "zZs3IyYmhuHFRXyHkIjUombcARCp2O7duzFkyBAcOnRIvtGtnAJfkqQa+Z4YeUar1SpOThLoxct1\\\n",
       "Op3cL6XlFgDg6NGjaN26NcxmM/7xj39g2LBhim3Zm0Dm8uXLDifl+fDDD23K8vPzbcrCwsLstuEr\\\n",
       "P/74o9vHKI0iAtf/QejXX3/1tkuqxEBIRGrBR0aJgtwTTzyB5s2bY+vWrTh+/DhycnIs/peoUllZ\\\n",
       "mU3ZwIEDAxoIk5OTLUJq5fINDRs2RH5+PubOnQtJktC8eXMYjUaYTCY88cQTkCQJTz/9tE177i5E\\\n",
       "X+mJJ56wKRs7dqxHbXlDkiTcc889Duvce++9NmVKj6qGhIQwDHqBj4wSkVpwhJAoyB0/fhz//ve/\\\n",
       "Fd8PI7JWOYpsNpsDPjJoMplw4cIFxX2nT59GYmKiw+M/+eQTfPLJJ/Ljnq4uL2FN6ZFMAHj11Vft\\\n",
       "jrz5g06nszt50OnTp+UJpP7zn//Y7K9Xrx7OnDljUWZvKQqlR2aDzdSpU/1+Do4QEpFacISQKMj1\\\n",
       "7NmTowDkNkdh8MiRIwgNDUV6errTdn7//XfccsstuOWWW/DZZ5/ZXS9Pia/eWywpKXEpDL755pvy\\\n",
       "up2VFi1aZHckvVWrVj7pn7UFCxZACGGzOZpJtn79+nI9JadPn7b4vGLFCp/2mYiIai6OEBIFuU8/\\\n",
       "/RRDhgzB/v370aZNG5t3nPr06ROgnlEwOnXqFFq2bAkA2L59OzQajeLjiJXLVtxo+PDhGD58uN22\\\n",
       "b775ZixYsAALFizAp59+6tuOO3FjkMrNzXX5OHvX7w2lx1N9QQiBHTt2oHPnzhZLUpBnOEJIRGrB\\\n",
       "QEgU5LZt24aff/5Z8TEyTipD7mrUqJHFZyEEQkJCLH6PDAYDYmNj3W774MGDLo06+tKqVatw3333\\\n",
       "eXy8yWSC2Wx2GrD0ej0KCgrkzw0bNrQZtasKaWlpVX7OmoqBkIjUgo+MEgW5Z599FoMGDcL58+dh\\\n",
       "NpstNoZBulFKSgo0Gg1at27t1nFms9nifTRPwmAgvPXWW16FwUoajcbpo7A3hkHg+kgrBTdOKkNE\\\n",
       "asFASBTkLl26hHHjxlm8F0VkTZIknD9/HkIIHDx4UHGZBUdGjhwJIHgmJElOTsaECRN81l5YWBgG\\\n",
       "DBiguM/ed3Ls2DGbshdffNFnfSL/YiAkIrVgICQKcg8//DA2bNgQ6G5QNVZYWGhT9txzz7nVxoMP\\\n",
       "PgggOB6Nqwy/7jCZTNi2bRs+//xzbNmyBYWFhTZB75///KfNWoaO3i+86aab0L17d/lzWFgY3n33\\\n",
       "Xbf65SslJSU4fPgwioqKAnL+YMRASERqwXcIiYJc8+bNMXHiRGzZsgVt27a1mVTG3Rt/ql5CQkIQ\\\n",
       "Hh6O7777Dj179vSojYyMDMXyK1euIC4uzqIsLCwMRqPRpm7v3r3lnx999FEsWbLEo774mnV/W7Vq\\\n",
       "hYMHD7rVRmRkJK5du+bwHDNnzsTw4cNRUFAASZJcnrRl48aNbvXFH0JDQy0eHw+WUV4iIqoaDIRE\\\n",
       "Qe7TTz9FdHQ0Nm3ahE2bNlnskySJgTDImc1mlJSUyKFOkiQUFhYiOjra5TYOHTqkWJ6cnGyzWH1s\\\n",
       "bCwuXrxoUWY9+rF48eJqEQivXr1qM2LnroEDBzoMgwBgNBrx/PPP47vvvsPatWu9Ol8g8F1iz3BS\\\n",
       "GSJSCz4yShTkcnJy7G721ldz10cffYTGjRsjPDwcaWlp2Llzp8P62dnZaNmyJcLDw9G2bVusWrXK\\\n",
       "Yr8QApMnT0bdunURERGBjIwMHD161KO+Ka3nduNWVlbm9qNf1WlTut6YmBhIkoSffvrJpe/I3oQo\\\n",
       "SuXWYRAAhg0b5tJ5qlrlgvTecCfYrl+/3uvzUfCoCY+MLlu2rNr2jYiqDwZCohrq/PnzeOedd7xu\\\n",
       "Z+nSpRg/fjymTJmCPXv24JZbbkFmZiby8vIU62/duhUDBw7E8OHDsXfvXmRlZSErKwv79++X67zz\\\n",
       "zjuYM2cO5s+fjx07diAqKgqZmZkOF+YmW3feeSckSXI6oZCjGTIlSZJHyG677TbFOs2aNVM8zp/6\\\n",
       "9esHIYTDd/R+//13r85x48yprtBo+FemmtSEQNi/f/9Ad4GIgoAk+DIBUVCzt8j1yZMnsXPnTq8n\\\n",
       "kUhLS0OXLl0wd+5cANcfYWzQoAGeffZZvPzyyzb1BwwYgOLiYqxcuVIuu/XWW9G+fXvMnz8fQgik\\\n",
       "pKTghRdekGdcNBgMSEpKwsKFC/Hoo4+61K/CwkLMmjXLab3y8nLMmDHDpTaDXVxcHC5fvmxRJoTw\\\n",
       "OshotVqbR0tbtmyJI0eOuN2WJEkuvcNmXcfeDbeztioqKhAVFYXy8nJERkbixIkTSExMBAA8//zz\\\n",
       "mDNnjos9v760hF6vd7l+dbF582aLyW1qwl/7U6dOdVrn9ddfh8FgQK1atdxqOzY2FgaDARMmTIBO\\\n",
       "p3PpmLKyMrz99ts261FWB5X/7dSEP3ci8g/+cydRkLty5YrFlp+fj507d2Ljxo2YOXOmV22Xl5dj\\\n",
       "9+7dFpOSaDQaZGRkYNu2bYrHbNu2zWYSk8zMTLl+Tk4OcnNzLero9XqkpaXZbZNcc+XKFUiShI4d\\\n",
       "O6KwsBBffvmlT0a1lEYYPR2de+2119CwYUOHddq0aWNTZm92TkcjiAUFBQgLC5P7X1JSgjp16iAm\\\n",
       "Jga33nqrW2HQYDAEZRgEro8kk/tqwgjhjYKtv0RUdRgIiYLct99+a7F999132L9/P6ZNm4bly5d7\\\n",
       "1XZ+fj5MJpPNI4lJSUnIzc1VPCY3N9dh/cr/dadN4Pq/wBcWFlpspGzv3r3Q6/UYPHiwz9q0Hl0I\\\n",
       "CwuzCZsvvPACLly4gJtvvtluO8OHD8emTZsc3pAqLaPy/PPPK9b96quv7LaTkpKiWH716lXs2LHD\\\n",
       "7nHWOnTo4PYoU3XTqVOnQHeBAqTyfeo6deoEuitEVE0xEBLVUAMHDqwWU977yowZM6DX6+WtQYMG\\\n",
       "ge6SqoSG2k5KbTKZLCbwmTlzJurUqYMDBw4otiFJEho1aoTGjRvDbDZj7969NnXq1KmDhIQEm3Lr\\\n",
       "5VQqPf7443b77Gz2UFft2bPHo+Mqv5/qYNeuXWjXrl2guxF0gnF00F6fPvzwQ4v/XomIKjEQEtVQ\\\n",
       "v/76Kzp06OBVGwkJCQgJCcGFCxcsyi9cuIDk5GTFY5KTkx3Wr/xfd9oEgIkTJ8JgMMjb6dOn3b4e\\\n",
       "8pyjRzOVKN2QWo+ytW/fXr45NZvNEELY/F64ovJd1BvFx8e73Y630tPTLUJCaGgoNBoNJEnC119/\\\n",
       "XeX9sfbrr78yCLihJjwyemO/BgwYUG37SUSBxXUIiYLc+PHjbcouXLiAFStWoFevXhb7XZmE5UZa\\\n",
       "rRadOnXCunXrkJWVBeB6MFi3bh3GjBmjeEx6ejrWrVuHsWPHymVr1qxBeno6ACA1NRXJyclYt24d\\\n",
       "2rdvD+D6BDE7duzAqFGj7PZFp9O5PMED+Uft2rVtJq2xRyl4LFq0yG59V25UIyIiFEf93nvvPTzw\\\n",
       "wAO46667AFx/ZNbVfrriiy++wJAhQxzWcdb/fv36oXbt2rh06ZLP+kX+5U7Qq85By9WJnIhIvRgI\\\n",
       "iYKc0mN3ANClSxfk5eXJy0N4esMyfvx4DBkyBJ07d0bXrl0xe/ZsFBcXy2vTDR48GPXq1ZNn8nz+\\\n",
       "+efRvXt3vPfee+jVqxeWLFmCXbt24ZNPPpH7MXbsWEyfPh3NmjVDamoqJk2ahJSUFDl0UvV05coV\\\n",
       "l+r95S9/USzPzMz06vxhYWF2HwPt0aOHV207MnToUAwePNjuf0NKj7gquXz5MiIjI1FSUuLL7pGf\\\n",
       "BHsgjImJCXQXiChIMBASBTmlCTh8acCAAbh48SImT56M3NxctG/fHqtXr5YnhTl16pTF5CK33XYb\\\n",
       "vvrqK7z22mt45ZVX0KxZMyxfvtxi5siXXnoJxcXFGDFiBAoKCtCtWzesXr0a4eHhbvfP2Y2YTqcL\\\n",
       "6n8dr243mlFRUSguLra7v1mzZvjzzz8V94WEhHh1bm+XUPFGSEiI3cdm3Rn1u3btGqKjo3H16lVf\\\n",
       "dY38JNgDIX/HiMhVDIRE5NSYMWPsPiKqNHFNv3790K9fP7vtSZKEadOmYdq0ab7qYo0lhEBRUVG1\\\n",
       "meWypKQEGo0GDz/8MHJycvDrr7/CZDK5dGxxcTGio6M9Ou+1a9cCGuyFENi3b5/8mPON5e4qLi5G\\\n",
       "amoqcnJyfNQ78odgDYRCCLk/ISEhMJlM1ap/RFT9cFIZoiB07733Yvv27U7rFRUV4e2338ZHH31U\\\n",
       "Bb0if4mJialWo5xCCPz73//Gnj17XA6DgGuPVnbp0kW+EddoNGjVqhVuueUWREZGetNln1CapMnT\\\n",
       "xz9PnDiB/v37e9slIkWVkzVVVFTghRdekMu9XZuWiGomjhASBaF+/fqhb9++0Ov16N27Nzp37oyU\\\n",
       "lBSEh4fjypUrOHjwILZs2YJVq1ahV69edhf1puBSt25dnD9/PtDd8FhZWRkuXbpkdwZQjUZjEXyF\\\n",
       "EDh8+HBVdc8lvXv3xvfffy9/9uYx2OzsbBw8eNDhuo0UOME6Qmht5syZDIJE5BADIVEQGj58OAYN\\\n",
       "GoTs7GwsXboUn3zyCQwGA4DrNyY333wzMjMz8csvv6BVq1YB7i35yunTpxXXAwwmCQkJqKiosAlS\\\n",
       "gwYNqlajoPasXLnS4rO3M9+2bt06KK5bjWpKICQicia47yyIVEyn02HQoEEYNGgQAMBgMODatWuI\\\n",
       "j4+3u4g3BTdvJ2WpLkJDQ3H58mXExcUBuD5y6GhJiuqmTp06Xs/ee6OFCxdi6NChXrdDvsVASERq\\\n",
       "wXcIiWoIvV6P5ORkhkGVMplM8ntDV69eRWJiIkJCQpCamgqDwQAhBEwmk82IVqNGjWA2m2Eymap0\\\n",
       "9LF27doICQlBTEyMR7PL+lNISAjOnDmDuXPnKu6/ePGivARHWVmZ1+cbPny4122Q79WEhemJiFzB\\\n",
       "QEhEVI2Fh4ejdu3a6NSpE+rUqaNYp0mTJhZLf0RFRSEvLw8VFRU4fvy4PEOpRqOxWMfvhx9+wIkT\\\n",
       "J+QJXIxGo38vxorZbK52U+MXFRWhoqIC9erVw+jRo+0+zlm7dm1IkuSTMGtvOQt3nT9/HnXr1sWA\\\n",
       "AQN80p7a+TsQMlgSUXXBQEhEVI2VlZXhypUr2LNnDy5evKhY59ixYzh37pxL7ZWXl8s/f/zxxz7p\\\n",
       "Y7ApLy+XR1OFEPjqq6/QqlUreY1AawcPHvR7ny5fvuxW/fLycrz99tu46aabEBoaCkmSkJKSgtzc\\\n",
       "XCxbtgy33367n3pKvhARERHoLhARyRgIiYhqgHr16kGj0ThdBqJ169byzytXrrSo784SEoHUr18/\\\n",
       "LF261KN3KsvKymweqx44cCAOHjxod7SvVatWFiOw/mBv5lVrhYWFkCQJOp0OL7/8MnJychT/3LZu\\\n",
       "3Wq3DXdHvqrjVlZWZhHqlTZv+XOEsLS0FAD80m8iIncxEBIR1RBCCISGhmLXrl126xw7dszic2ho\\\n",
       "KEJDQ6HVaoNiBtOrV69i2bJl6N+/PyoqKlBWVubyzXjLli2h1Wo9Om9VhGVJkhASEoLExERMmjTJ\\\n",
       "4vFeo9EIrVYLvV7v937QdVXxDiEfFyWi6oCBkCjIDRkyBJs3bw50N6ga6dKlCyoqKmzK7S2ibjKZ\\\n",
       "PH5/MCQkBKdPn8bJkyf9PqHR2LFjERUVZVGm1WphNpvl0RWTyQSTyQSz2YzS0lI8/PDDCA0NRdu2\\\n",
       "bXHo0CGvzv/Xv/7Vq+NdYTabkZ+fj+nTpyMyMlIOClqttsrf8VQ7TwKhwWBAbGysvPXo0cPtcxIR\\\n",
       "VTUGQqIgZzAYkJGRgWbNmuHNN9/E2bNnA90lqgbCwsIsZsAUQtiEKW+FhoaioqIC9evXR8OGDVFe\\\n",
       "Xo6LFy+iRYsWqF27NuLj49161DI8PBz5+fkQQsBsNiMnJwc33XQT4uLi8Oeff+L999932oZGo4FG\\\n",
       "o5Efq/z3v/8No9GI3377zZtLBQCHS2OsXLlSDqVmsxknTpyolsuEVK5XSs55OkJoMBjkbePGjQ7P\\\n",
       "wUdFiag6YCAkCnLLly/H2bNnMWrUKCxduhSNGzfGfffdh6+//pojCioXERGBS5cuobS0FJGRkT5v\\\n",
       "/+TJkzZlCQkJOHz4MC5duoT8/HyUl5ejbt26Tttq3769vI4mcP1mvHHjxjh27BguX76MJk2a+Lz/\\\n",
       "nlCadCYqKgq9evWSP0uShEaNGsFoNAZ0xEdplPjpp58OQE+Ck6eBUK/Xy9tdd90VuAsgInIRAyFR\\\n",
       "DZCYmIjx48fj119/xY4dO9C0aVM8/vjjSElJwbhx43D06NFAd5ECQAiBhIQEREREyJNYuEuSJMVR\\\n",
       "vjVr1iAlJcXp8SEhITh37hyEEIqPlLZu3RpCCOzdu9ej/lW1oqIii+8jNDTU7tIZkiTBbDbbfZS2\\\n",
       "WbNmMBqNKCsrQ0xMjM/7ar3mJADUr1/f5+eh/9Hr9SgoKJC3DRs2BLpLREROMRAS1SDnz5/HmjVr\\\n",
       "sGbNGoSEhOD+++/H77//jptvvtmlx+2IKu3du1d+/PHGRe8rf87IyHC7zcrlHi5fvoySkhIIIbB/\\\n",
       "/34/9N5zN4749O/fX7FO5TuXZWVlLo3Cl5eXIzY21qaNP/74Q57Qp7Cw0O47np4ym802bc6cOdOn\\\n",
       "56jJqnpSGSKiQGEgJApyRqMR//73v/HAAw+gUaNGyM7OxtixY3Hu3Dl88cUXWLt2LZYtW4Zp06YF\\\n",
       "uqtUjTVp0gQGg0EOfu3bt1es54vlF+Li4qp8HTZX3tGyHsnLzs62W7cyyLnqypUrcsAWQih+jxER\\\n",
       "ERBC4MiRIy636wwfEfWcPwOhvd9HvktIRIFQ/ecYJyKH6tatC7PZjIEDB2Lnzp2KN/I9evSwGaEg\\\n",
       "Aq7//ri6qH2wOnbsGJo2bQrgf49xKlF6506SJJ/epLsSHJo3by6f02w2Q6vVerzsxf/93/95dBxd\\\n",
       "58+RO4Y/IqouOEJIFOTef/99nDt3Dh999JHdUZ3Y2Fjk5ORUbccoKBw+fDjQXfC7Dh06yD8LIdCx\\\n",
       "Y0fFetOnT1cs/+OPP/zSL1doNBrFoOoqf0wmpBZV8cgoEVF1wEBIFOQef/xxhIeHB7obFKTUMIJk\\\n",
       "/XimvQlsXn31VcWlIrZs2WJT9sILL6BJkya4dOmSbzrpxPr1690+xtFjicG+6XQ6vwc0BkIiUgsG\\\n",
       "QiKiaszXawdae+mll/zavr/t378fd9xxh8PJXU6dOuVyexUVFVi8eLH8OSIiAk888YT82Ww2Q5Ik\\\n",
       "zJo1C8ePH0dCQgIkSUJ5eblnF+AiZ8sXSJKEkJAQ6HQ6zJo1i48j+gADIRGpBQMhEVE1dvXqVQgh\\\n",
       "LBaZ97XQUMevk3fp0kW+6Z01a5bdemVlZahTpw4iIyPRvn17DB48GHq9XvHm+cknn0RZWRnKysow\\\n",
       "atQom/15eXlO+x0VFYW2bdtiy5Yt0Gq1dm/Ka9Wq5dYN+6OPPiqPRFnP0mlvciadToebbrrJ5XO4\\\n",
       "y17/P/nkE3mymoqKCpSWlmLcuHF+6wcREdU8DIREREFAq9X6bdTHZDLh0KFDivv27t2LXbt2yZ9f\\\n",
       "eOEF3H///Tb1mjdvjvDwcFy8eBHXrl3Dr7/+ii+//BKFhYWK7S5YsADh4eEIDw/H/PnzbfYnJSU5\\\n",
       "nexGaZmGjz/+WLGu2WyW1+WLi4tz2K4jjz/+uN19OTk5kCTJ4zUfnbFeMkIIgaeeesov5yKOEBKR\\\n",
       "ejAQEhEFkYsXL/ql3datWyuWd+7c2absP//5j8Xn8vJyHD161Od9qlevntvHfPvtt3b3lZaWyusg\\\n",
       "eqpJkyZO60RERMghQaPRyFurVq08ni0UuB7GzWazvHQF+RcDIRGpBQMhEVEQSUhI8Eu79gKGvSUa\\\n",
       "Vq1aJf9cnWay/PHHH/1+jgEDBrhc98aJUA4fPozQ0FC7s5y6guGj6jAQEpFaMBASEZHbbnx80ZtR\\\n",
       "L2ccvTt54zIRoaGhOHbsWJXcmC9ZssSr4/fu3VulI3wVFRX44osvHL5nSbYYCIlILbgwPRFREHH0\\\n",
       "SGRVeu6551yqV3mj7GkA0mq1dve9+uqrePXVVz1qN5B+/PFHvwaIyvclvVm/kNwbjWUgJKJgxhFC\\\n",
       "IqIg8sgjjwS6CwCA7t27O60TEhICo9EIk8mE3r172+y/6aabcO3aNRiNRvTt21exjZp2o52amop7\\\n",
       "7rnHr+cIDQ1lGCQiIpcxEBIRBYlatWrZfafPF25cfw8AwsLC7NZ1ZabOiooKhISEQJIkfPfddzaL\\\n",
       "ix87dgzh4eEIDQ3F119/DSEETCYTVq1ahVOnTlXbiVM8XXNw9erVOH78uI978z8VFRWQJKnafm/B\\\n",
       "ho+MEpFaMBASEVVjsbGxcqgqKiry67n++te/QqvVolOnTpAkyatRpp49e3p0nEajwX333YcGDRpY\\\n",
       "lHfu3Nni5nvFihUe901JXl4eNBoNQkJC7C6VUaly+Qp3ZWZmenQcABiNRqd1HAV4ch8DIRGpBQMh\\\n",
       "EVE1ZjAY/DoqaM1oNGLPnj0O6zhbyB4AsrOzfdUlmEwm7N6926IsKyvLp+0nJSXJC7zr9Xr0799f\\\n",
       "sW5Vh67KiXIqJ4Sxt8YhA4nvMRASkVowEBIRkVuUFoS3ptfrfXa+3377TbHcV7ObRkVF2ZTZC7RV\\\n",
       "/W5e06ZNLT5HRETg5ZdftijTaPhXuT8wEBKRWvBvESKiINK4cWP5HbwePXpU+fmjo6NdGiXzZUix\\\n",
       "dz5XRk4dLVvhrI474W/06NFYv369w+t2NzTYa+vtt9+2CCJ8Z9A/GAiJSC0YCImIgkhOTo7887p1\\\n",
       "61w+7rfffpODZGlpKWJiYjw6v7/fY1TSqlUrxXJHwdRoNEKSJISHh3t8s670aOw333xj8bm4uBhC\\\n",
       "CMydOxc9evSAyWRCcnKy3TZdDXChoaEMekREVCW4DiERURAxGo1yEHryySed1jebzTaBSKfTWUyc\\\n",
       "4mpgshdQhBAICwtDRUUFfvnlF3Tu3Nml9lwVEhLi9jHW6xdqNBrFEcWOHTsqHl9cXKxY/tBDDzkN\\\n",
       "aufPn3f4nfIRz+DAdQiJSC34txIRURDRarVYvHgxunXrhs8++8xh3blz57p0o+qLSWuMRiOEEIph\\\n",
       "cPbs2ZAkCSEhIVUy6qUUIO2dd+/evTZlWq0WkZGRHp//7NmzHh/rLkmSsGDBAly9ehUGgwH/93//\\\n",
       "59KkP+QcHxklIrVgICQiCjJ//etf8fPPPzutN3r0aJfakyQJ3377rbfdUlRRUYFx48YBuB48fTk6\\\n",
       "Fhsba1O2YcMGuwG3cePGFp/t3cS78t6hPRUVFahfv77Hx7vj6tWrMJvNeOKJJxAVFYVatWphxIgR\\\n",
       "cjhnSPEOAyERqQUDIRERISsrC/Hx8Q7rWD+G6YqRI0falLn7COjFixcVyw0GAyRJwttvv4177rkH\\\n",
       "YWFhuPvuu+22c/LkSXmk0t4NvDeBNTQ0tMqWpThy5Iji7Kg3qsrlSmoiBkIiUgsGQiIiAgDk5+c7\\\n",
       "vLGtnKjl6tWrLrf54osv2pS5G1Tq1KnjcP/LL7+MNWvWuDwrqKPzv/fee271DQASEhIgSZLPlsFw\\\n",
       "RfPmzavsXGrGMEhEasBASEREskuXLjmtExMTY3Ez7GjEr2XLljZl7txAP/rooy7X9YUDBw7YlJnN\\\n",
       "ZnzxxRdYsGABysvL5fJVq1ZBkiSXvjNfSkhIqNLzERFRzcY3z4mISLZt2za3jzGbzfjtt9/Qrl07\\\n",
       "xf3W77O5M5K2dOlSt/vjjU8//RQff/yxPDGLdXh1ZWZXf8vNzQ10F1SBs4wSkVowEBIR1VB5eXlO\\\n",
       "H7esVFJSgoYNG3o82lW7dm2H+z2ZXTRQs2VW1XuAnmjdurXL72Dm5+f7uTc1GwMhEakFHxklIqqh\\\n",
       "7rvvPqd1/va3v0GSJERFRXn16KM/Ztb05J28v//9704nWwlWMTEx2L9/v8v1k5KS/Nibmo+TyhCR\\\n",
       "WjAQEhHVUHv27HG4v7S0FDNnzvTqHHXr1vXL2oL2Foa3JzQ0FEajEa+88gquXr2KVq1aKdYLCQnB\\\n",
       "qlWrPJox9UZjxoyB0WiE2WyG2WxGRUUFzGYzhBDy9vnnn3t1Dmvu/llxllHvMBASkVowEBIR1WCO\\\n",
       "wlqDBg08brcyCJ47d87jNhx566233Kq/cOFCi0dMDx48aFNnzJgxqKiowH333efRWoMajQalpaUQ\\\n",
       "QuDDDz9EaGioxcQ61qFg6NCh+OGHH9w+jz0jR450OXw7e4SXnGMgJCK1YCAkIqrBHK2rd/nyZY/a\\\n",
       "/P777/0WBCvNmjULwPX+X7x4EUIIGAwGu/V//fVXmzIhBGJjYyFJEk6ePIkPP/zQYr8rs3XqdDqU\\\n",
       "lJRACAGTyQSdTufWddx///1u1XdECAGNRoO//OUvDuslJCTgypUrPjuvWjEQEpFaMBASEdVwkiTJ\\\n",
       "AetGnj5S+MADDzjcv337djRt2tRiBE1pmzdvns2xH3zwASRJQklJCcLDw2EymeTgVqtWLcWRPwB4\\\n",
       "9913FdchvHLlCsxmMxo2bGizz9m6hSdPnkRpaSkiIiIc1nOmd+/eXh1vbe3atfJ3qNFo5NHJys3Z\\\n",
       "u6DuBp3quJWVlVk8nqu0ERGRaxgIiYhU4IUXXoAkSejQoQOMRiNq1arlUTvWo2yVysrK5Jv19PR0\\\n",
       "HDt2zOmkMKNHj7a50R87dqy8XymwNm3a1G577s4OWlBQoFjepEkTCCEUQ6QnvvvuO5+0o0QIwXcF\\\n",
       "/YQjhESkFgyEREQqsm/fPmi1WhQVFXl0/JgxY2zKwsPDER4e7m3XbNy4CHylZs2aOTxGo9G4NDrU\\\n",
       "unVrm7L58+dDCIE///zT9U66yF74pOqLgZCI1ILrEBIRkY24uDisXLkSf/zxBz7++GPccccdirNc\\\n",
       "+vtGOCkpCRcuXAAALFu2DCdPnnRYv/I9O2uSJEGn06G8vNxmRC0yMtLtWU3dpdfrUVFREbC1Fcl9\\\n",
       "7gQ9BkIiCmb8m4mIiGxcunQJkiThtttuw9ChQxXr+GNU0FpeXp5PbraFECgtLVXc5+8wWCkkJARC\\\n",
       "CIaHIMFASERqwUdGiYjIhis3uJ4s3aAm9t7t8/WEJ6dOnbKYTKWwsJABxQf4yCgRqQUDIRER2eAs\\\n",
       "jZ7bunUrJOl/axMqzWbapUsXn5xLCGGznmRMTAzMZjOuXr3qk3MQEVHNxkBIREQ2HnzwwUB3ocp4\\\n",
       "OuOqPbfffrvFZ6XZT0eOHOn1eZzN4hoVFQUhBMrKytC9e3fodDqEhIR4fV614AghEakFAyEREdn4\\\n",
       "/vvvA92FKlNUVASNRoOtW7fi4MGDqF27ts9v8q3bevLJJ71qy97kOUq0Wi02btyI0tJSp2sv0v8w\\\n",
       "EBKRWjAQEhGRIkejSTt37qzCnvifEAK33347WrdujStXrsjlroauG3Xr1k2xXJIkJCYmyoHOE0aj\\\n",
       "kesOVhEGQiJSCwZCIiJSZDabIUkSjEajRfnSpUuRlpZmU3/Pnj0wm80wm804evQoUlJSgv5G2ZPg\\\n",
       "9tNPP9ndl5+f71E/KtdX9MWyFTdOQBOsm06n83tAYyAkIrVgICQiRUajERMmTEDbtm0RFRWFlJQU\\\n",
       "DB48GOfOnXN67EcffYTGjRsjPDwcaWlpNqNJpaWlGD16NOLj4xEdHY2+ffvKa82RpYSEBGi12oD2\\\n",
       "QavVWtz4PvroozZ1jEYjOnToINdp2rQpzp49C7PZrHhD7yg0VTeeLCq/fPlyn/aBj3pWPQZCIlIL\\\n",
       "BkIiUlRSUoI9e/Zg0qRJ2LNnD7755hscOXIEffr0cXjc0qVLMX78eEyZMgV79uzBLbfcgszMTOTl\\\n",
       "5cl1xo0bh++//x7Z2dnYtGkTzp07h4cfftjflxSULl68iLKyMggh5BG76sjdkatu3br5bMTL37p2\\\n",
       "7er2MdVpUh6j0Yi33noLa9euRUlJSaC7Q0RE1Uz1/5uYiAJCr9djzZo1FmVz585F165dcerUKTRs\\\n",
       "2FDxuFmzZuGpp57CsGHDAADz58/HDz/8gM8++wwvv/wyDAYDFixYgK+++gp33303AODzzz9Hq1at\\\n",
       "sH37dtx6663+vbAgJkkSDh48iFatWgW6Kz5z5swZJCcnB7obDh0/fjzQXcCGDRvk/17cpdPpLB59\\\n",
       "5ZIiruHC9ESkFhwhJCKXGQwGSJKE2NhYxf3l5eXYvXs3MjIy5DKNRoOMjAxs27YNALB7924YjUaL\\\n",
       "Oi1btkTDhg3lOmRfy5Yt0aJFi0B3w2eSkpIC3QWnnC3vUBV69uyJ0NBQLFiwwK1AV/nuIbmPj4wS\\\n",
       "kVowEBKRS0pLSzFhwgQMHDjQ7rpt+fn5MJlMNjf5SUlJyM3NBQDk5uZCq9XahMob6ygpKytDYWGh\\\n",
       "xaZWhw8frnaPWnpzQ3zj48Q3Gj9+vPzOodL1Kr2b6K8b8x49erhV3x/9MJlMePLJJ6HRaCBJEs6c\\\n",
       "OeP0GIZB7zAMEpEaMBASEQBg0aJFiI6OlrcbJ/0wGo3o378/hBD4+OOPA9K/GTNmQK/Xy1uDBg0C\\\n",
       "0o/qwmg0Vrsb0bZt23p0XGJiomL5e++9J/9cXl5usW/Hjh2Kx/hr8pWNGze6XLeq/lzU/t+Av1Xl\\\n",
       "CCHDJREFEgMhEQEA+vTpg3379slb586dAfwvDJ48eRJr1qyxOzoIXJ8RMyQkxGbG0AsXLsjviSUn\\\n",
       "J6O8vNxm5sYb6yiZOHEiDAaDvJ0+fdrDK605zGYzTCaT4qyfgbB//36/BTLrG+VOnTop1vNk3UBX\\\n",
       "uTIhS1Xf0P/jH/+wu2/z5s1V2JOap6oCIUMgEQUaAyERAQBiYmLQtGlTeYuIiJDD4NGjR7F27VrE\\\n",
       "x8c7bEOr1aJTp05Yt26dXGY2m7Fu3Tqkp6cDuH4jHxYWZlHnyJEjOHXqlFxHiU6nQ61atSw2uh6A\\\n",
       "Fi9eDCEEysrKAt0dhIWF+aytGx93fP755y323bh4vDV/3WBHR0fb3VdWVhaQG/sJEybgjjvuQGxs\\\n",
       "LEJDQ1GrVi3cfffdiIqKQvfu3au8PzVJVQTCYHiHlohqPgZCIlJkNBrxyCOPYNeuXVi0aBFMJhNy\\\n",
       "c3ORm5tr8fhez549MXfuXPnz+PHj8Y9//ANffPEFDh06hFGjRqG4uFiedVSv12P48OEYP348NmzY\\\n",
       "gN27d2PYsGFIT0/nDKMKIiIiEBcXhxkzZjitq9VqMXLkyCrolWMHDx60KYuMjJRvnK3D3Z49exTb\\\n",
       "CQ0NRXl5Ob799lvMmTPHYp+j35Vr164plms0Gq/WdBRCoHfv3jbldevWRXh4uMfteqJJkya4dOkS\\\n",
       "5syZgy1btsBgMMBkMqGoqAgbNmzg8hIBYjAYEBsbK2/O3j2tfH+W73oSUSAxEBKRorNnz+K7777D\\\n",
       "mTNn0L59e9StW1fetm7dKtc7duwY8vPz5c8DBgzAzJkzMXnyZLRv3x779u3D6tWrLf4l/P3338cD\\\n",
       "DzyAvn374s4770RycjK++eabKr2+YFFaWoqCggK88sorkCTJ6Zp41sEpEFq3bm3x2Wg0WoS0OXPm\\\n",
       "QJIk1KlTB8nJyXYf/zSbzdDpdIprVB47dszu+XU6HfLz8xEWFoZatWqhpKQEQgiYTCZ5TUchhEch\\\n",
       "buXKlZAkCeHh4fLkLo4mQ3IkMTFR7stvv/3m0jFarRZCCPz555+oXbs2Bg0a5NG5yTlPRwhvfLTd\\\n",
       "0bunlcd4ss4lEZEvVa9p6oio2mjcuLFL/2p94sQJm7IxY8ZgzJgxdo8JDw/HRx99hI8++sibLqrS\\\n",
       "L7/8gkuXLtl9fNfe6JgvtWnTBp988gm6d+8Oo9HotL69WUQvXrzo667J4uPjbSaisXbt2jVkZGRY\\\n",
       "PL7sKm8fz9Xr9RbfS9u2bfHhhx/i2WeftXtMWFiY4nkbNGjAd2r9wNN1CPV6vfxzhw4dnNa3N0ES\\\n",
       "EVFV4QghEVGQSUhIsLtvxIgRfj23EAK///470tPTUV5e7rAvlerUqePXPnlj7dq1ATmv9aRKABz+\\\n",
       "IwpgO9NqJaVHdMl7nowQ6vV6FBQUyNuGDRtcPs+Nn2+cYZeIyN8YCImIapDvvvvOb23feeedNmX2\\\n",
       "Rv9u5MuJZvwhJiYm0F3wiqPJbshz/pxUpnbt2g73v/DCC950nYjILXxklIioGnN3somqnkxEkiSX\\\n",
       "+lidJ80oLCwMdBdknn5P1fn7DVaePjLqikuXLtltg3+WRFTVOEJIRERERESkUhwhJCIiIrLizxFC\\\n",
       "JRwZJKJAYSAkIiIislLVgZCIKFAYCImIiIisMBASkVowEBIRERFZYSAkIrVgICQiIiKywkBIRGrB\\\n",
       "WUaJiIiIiIhUiiOERERERFY4QkhEasFASERERGSFgZCI1IKBkIiIiMgKAyERqQUDIREREZEVBkIi\\\n",
       "UgsGQiIiIiIFDHpEpAacZZSIiIiIiEilOEJIREREZIWPjBKRWjAQEhEREVlhICQitWAgJCIiIrLC\\\n",
       "QEhEasFASERERGSFgZCI1IKBkIiIiMgKAyERqQUDIREREZEVBkIiUgsuO0FERERERKRSHCEkIiIi\\\n",
       "ssIRQiJSCwZCIiIiIisMhESkFgyERERERFYYCIlILRgIiYiIiKwwEBKRWjAQEhEREVlhICQiteAs\\\n",
       "o0RERERERCrFEUIiIiIiKxwhJCK1YCAkIiIissJASERqwUBIREREZIWBkIjUgoGQiIiIyAoDIRGp\\\n",
       "BQMhERERkRUGQiJSC84ySkREREREpFIcISQiIiKywhFCIlILBkIiIiIiBQx6RKQGDIREREREVjhC\\\n",
       "SERqwUBIREREZIWBkIjUgoGQiIiIyAoDIRGpBQMhERERkRUGQiJSCy47QUREREREpFIcISQiIiKy\\\n",
       "whFCIlILBkIiIiIiKwyERKQWDIREREREVhgIiUgtGAiJiIiIrDAQEpFaMBASERERWWEgJCK14Cyj\\\n",
       "REREREREKsURQiIiIiIr/hwhtFdfCOFWO0REvsARQiIiIiIrlYHQ1c0XGjZs6JN2iIjcwRFCIiIi\\\n",
       "Iiv+HCG0HgmsPP706dNutUNE5AsMhERU402dOjXQXSCiIONJIDQYDIiNjZXLO3TogA0bNvije0RE\\\n",
       "PsNASERERGTF0xFCg8Eg/7xx40anxy5btkz+me8QElEgMBASERER+Yher5d/7tChg9P6AwYM8Gd3\\\n",
       "iIicYiAkIiIisuLJCKFer0dBQYFb56jE0UEiChTOMkpELhk5ciQkScLs2bOd1v3oo4/QuHFjhIeH\\\n",
       "Iy0tDTt37rTYX1paitGjRyM+Ph7R0dHo27cvLly44KeeExG5z5+zjB44cIBhkIiqDQZCInLq22+/\\\n",
       "xfbt25GSkuK07tKlSzF+/HhMmTIFe/bswS233ILMzEzk5eXJdcaNG4fvv/8e2dnZ2LRpE86dO4eH\\\n",
       "H37Yn5dAROQWfwbCNm3aKJ6rbdu2vrwEIiKXMBASkUNnz57Fs88+i0WLFiEsLMxp/VmzZuGpp57C\\\n",
       "sGHDcPPNN2P+/PmIjIzEZ599BuD6hAsLFizArFmzcPfdd6NTp074/PPPsXXrVmzfvt3fl0NE5LKq\\\n",
       "XIMQAPbv3++ztoiIXMVASER2mc1mPP744/jb3/6G1q1bO61fXl6O3bt3IyMjQy7TaDTIyMjAtm3b\\\n",
       "AAC7d++G0Wi0qNOyZUs0bNhQrkNEFGj+HCEUQtjdiIiqGieVISK73n77bYSGhuK5555zqX5+fj5M\\\n",
       "JhOSkpIsypOSknD48GEAQG5uLrRarcVaXZV1cnNz7bZdVlaGsrIy+XNhYaGLV0FERERE9nCEkIgA\\\n",
       "AIsWLUJ0dLS8bdq0CR988AEWLlzo00eiPDVjxgzo9Xp5a9CgQaC7REQ1mD9HCImIqhMGQiICAPTp\\\n",
       "0wf79u2Tt61btyIvLw8NGzZEaGgoQkNDcfLkSbzwwgto3LixYhsJCQkICQmxmTH0woULSE5OBgAk\\\n",
       "JyejvLzcZmr2G+somThxIgwGg7ydPn3aq+slInKEgZCI1IKPjBIRACAmJgYxMTHy5xEjRqB3794W\\\n",
       "dTIzM/H4449j2LBhim1otVp06tQJ69atQ1ZWFoDr7yGuW7cOY8aMAQB06tQJYWFhWLduHfr27QsA\\\n",
       "OHLkCE6dOoX09HS7/dPpdNDpdN5cIhGRyzxZh5CIKBgxEBKRovj4eMTHx1uUhYWFITk5GS1atJDL\\\n",
       "evbsiYceekgOfOPHj8eQIUPQuXNndO3aFbNnz0ZxcbEcIvV6PYYPH47x48ejdu3aqFWrFp599lmk\\\n",
       "p6fj1ltvrboLJCJygIGQiNSCgZCIvHLs2DHk5+fLnwcMGICLFy9i8uTJyM3NRfv27bF69WqLiWbe\\\n",
       "f/99aDQa9O3bF2VlZcjMzMS8efMC0X0iIkUMhESkFpLgHMdEFIQKCwsxa9Ys3ogRkaLXX38dBoMB\\\n",
       "tWrVcuu42NhYGAwGnDt3zuVjCwsLkZKSAr1eb/N+NBFRdcdJZYiIiIiIiFSKj4wSERERWeEjo0Sk\\\n",
       "FgyERERERFYYCIlILRgIiYiIiKwwEBKRWjAQEhEREVlhICQitWAgJCIiIrLCQEhEasFZRomIiIiI\\\n",
       "iFSKI4REREREVjhCSERqwUBIREREZIWBkIjUgoGQiIiIyAoDIRGpBQMhERERkRUGQiJSCwZCIiIi\\\n",
       "IisMhESkFpxllIiIiIiISKU4QkhEQUkIEeguEFE1583/TxQVFbk88ldUVOTxeYiIAo2BkIiCUlFR\\\n",
       "EaZOnRrobhBRNVZUVAS9Xu/WMS1atMDOnTvRoEEDt8/XokULt48hIgo0SfCf2YkoCJnNZpw7dw4x\\\n",
       "MTGqfn+nsLAQDRo0wOnTp1GrVq1Adydg+D1cx+/hOiEEioqKkJKSAo3G/bdj0tLScOTIEbeOadGi\\\n",
       "BXbs2OH2uYiIAo2BkIgoiBUWFkKv18NgMKg6APB7uI7fAxERuYuTyhAREREREakUAyEREREREZFK\\\n",
       "MRASEQUxnU6HKVOmQKfTBborAcXv4Tp+D0RE5C6+Q0hERERERKRSHCEkIiIiIiJSKQZCIiIiIiIi\\\n",
       "lWIgJCIiIiIiUikGQiKiasRoNGLChAlo27YtoqKikJKSgsGDB+PcuXNOj/3oo4/QuHFjhIeHIy0t\\\n",
       "DTt37rTYX1paitGjRyM+Ph7R0dHo27cvLly44K9L8Yqza7GWnZ2Nli1bIjw8HG3btsWqVass9gsh\\\n",
       "MHnyZNStWxcRERHIyMjA0aNH/XkJXpsxYwa6dOmCmJgY1KlTB1lZWS4tll4TvwsiIvIfBkIiomqk\\\n",
       "pKQEe/bswaRJk7Bnzx588803OHLkCPr06ePwuKVLl2L8+PGYMmUK9uzZg1tuuQWZmZnIy8uT64wb\\\n",
       "Nw7ff/89srOzsWnTJpw7dw4PP/ywvy/Jba5cy422bt2KgQMHYvjw4di7dy+ysrKQlZWF/fv3y3Xe\\\n",
       "eecdzJkzB/Pnz8eOHTsQFRWFzMxMlJaWVtVluW3Tpk0YPXo0tm/fjjVr1sBoNOKee+5BcXGx3WNq\\\n",
       "6ndBRER+JIiIqFrbuXOnACBOnjxpt07Xrl3F6NGj5c8mk0mkpKSIGTNmCCGEKCgoEGFhYSI7O1uu\\\n",
       "c+jQIQFAbNu2zX+d94Cza7HWv39/0atXL4uytLQ08fTTTwshhDCbzSI5OVm8++678v6CggKh0+nE\\\n",
       "4sWL/XAF/pGXlycAiE2bNtmto5bvgoiIfIcjhERE1ZzBYIAkSYiNjVXcX15ejt27dyMjI0Mu02g0\\\n",
       "yMjIwLZt2wAAu3fvhtFotKjTsmVLNGzYUK5THbhyLda2bdtmUR8AMjMz5fo5OTnIzc21qKPX65GW\\\n",
       "llatrt0Zg8EAAKhdu7bdOmr5LoiIyHcYCImIqrHS0lJMmDABAwcORK1atRTr5Ofnw2QyISkpyaI8\\\n",
       "KSkJubm5AIDc3FxotVqbUHljnerAlWuxlpub6/TaK8tcbbO6MZvNGDt2LG6//Xa0adPGbj01fBdE\\\n",
       "RORbDIRERAG0aNEiREdHy9tPP/0k7zMajejfvz+EEPj4448D2EsKtNGjR2P//v1YsmRJoLtCREQ1\\\n",
       "TGigO0BEpGZ9+vRBWlqa/LlevXoA/hcGT548ifXr19sdHQSAhIQEhISE2MwYeuHCBSQnJwMAkpOT\\\n",
       "UV5ejoKCAotRwhvrVAeuXIu15ORkp9deWVa3bl2LOu3bt/dh7/1jzJgxWLlyJTZv3oz69es7rFvT\\\n",
       "vwsiIvI9jhASEQVQTEwMmjZtKm8RERFyGDx69CjWrl2L+Ph4h21otVp06tQJ69atk8vMZjPWrVuH\\\n",
       "9PR0AECnTp0QFhZmUefIkSM4deqUXKc6cOVarKWnp1vUB4A1a9bI9VNTU5GcnGxRp7CwEDt27KhW\\\n",
       "125NCIExY8bg22+/xfr165Gamur0mJr6XRARkR8FelYbIiL6n/LyctGnTx9Rv359sW/fPnH+/Hl5\\\n",
       "Kysrk+vdfffd4sMPP5Q/L1myROh0OrFw4UJx8OBBMWLECBEbGytyc3PlOiNHjhQNGzYU69evF7t2\\\n",
       "7RLp6ekiPT29Sq/PFc6u5fHHHxcvv/yyXP/nn38WoaGhYubMmeLQoUNiypQpIiwsTPz+++9ynbfe\\\n",
       "ekvExsaKFStWiN9++008+OCDIjU1VVy7dq3Kr89Vo0aNEnq9XmzcuNHi96CkpESuo5bvgoiI/IeB\\\n",
       "kIioGsnJyREAFLcNGzbI9Ro1aiSmTJliceyHH34oGjZsKLRarejatavYvn27xf5r166JZ555RsTF\\\n",
       "xYnIyEjx0EMPifPnz1fBVbnP0bV0795dDBkyxKL+smXLRPPmzYVWqxWtW7cWP/zwg8V+s9ksJk2a\\\n",
       "JJKSkoROpxM9e/YUR44cqYpL8Zi934PPP/9crqOW74KIiPxHEkKIwIxNEhERERERUSDxHUIiIiIi\\\n",
       "IiKVYiAkIiIiIiJSKQZCIiIiIiIilWIgJCIiIiIiUikGQiIiIiIiIpViICQiIiIiIlIpBkIiIiIi\\\n",
       "IiKVYiAkIiIiIiJSKQZCIiIKCgsWLMA999zj9/OsXr0a7du3h9ls9vu5iIiIAo2BkIiIqr3S0lJM\\\n",
       "mjQJU6ZM8fu57r33XoSFhWHRokV+PxcREVGgMRASEVG19/XXX6NWrVq4/fbbq+R8Q4cOxZw5c6rk\\\n",
       "XERERIHEQEhERFXm4sWLSE5OxptvvimXbd26FVqtFuvWrbN73JIlS9C7d2+Lsrvuugtjx461KMvK\\\n",
       "ysLQoUPlz40bN8b06dMxePBgREdHo1GjRvjuu+9w8eJFPPjgg4iOjka7du2wa9cui3Z69+6NXbt2\\\n",
       "4dixY55fLBERURBgICQioiqTmJiIzz77DK+//jp27dqFoqIiPP744xgzZgx69uxp97gtW7agc+fO\\\n",
       "Hp3z/fffx+233469e/eiV69eePzxxzF48GAMGjQIe/bsQZMmTTB48GAIIeRjGjZsiKSkJPz0008e\\\n",
       "nZOIiChYMBASEVGVuv/++/HUU0/hsccew8iRIxEVFYUZM2bYrV9QUACDwYCUlBSPz/f000+jWbNm\\\n",
       "mDx5MgoLC9GlSxf069cPzZs3x4QJE3Do0CFcuHDB4riUlBScPHnSo3MSEREFCwZCIiKqcjNnzkRF\\\n",
       "RQWys7OxaNEi6HQ6u3WvXbsGAAgPD/foXO3atZN/TkpKAgC0bdvWpiwvL8/iuIiICJSUlHh0TiIi\\\n",
       "omDBQEhERFXu2LFjOHfuHMxmM06cOOGwbnx8PCRJwpUrV5y2azKZbMrCwsLknyVJsltmvczE5cuX\\\n",
       "kZiY6PScREREwYyBkIiIqlR5eTkGDRqEAQMG4I033sCTTz5pMzp3I61Wi5tvvhkHDx602Wf9mOfx\\\n",
       "48d90sfS0lIcO3YMHTp08El7RERE1RUDIRERValXX30VBoMBc+bMwYQJE9C8eXM88cQTDo/JzMzE\\\n",
       "li1bbMpXrFiBb775BseOHcPf//53HDx4ECdPnsTZs2e96uP27duh0+mQnp7uVTtERETVHQMhERFV\\\n",
       "mY0bN2L27Nn48ssvUatWLWg0Gnz55Zf46aef8PHHH9s9bvjw4Vi1ahUMBoNFea9evfDOO+/g5ptv\\\n",
       "xubNmzFv3jzs3LkTX375pVf9XLx4MR577DFERkZ61Q4REVF1J4kb59kmIiKqpvr164eOHTti4sSJ\\\n",
       "AK6vQ9i+fXvMnj3bp+fJz89HixYtsGvXLqSmpvq0bSIiouqGI4RERBQU3n33XURHR/v9PCdOnMC8\\\n",
       "efMYBomISBU4QkhEREHJXyOEREREasJASEREREREpFJ8ZJSIiIiIiEilGAiJiIiIiIhUioGQiIiI\\\n",
       "iIhIpRgIiYiIiIiIVIqBkIiIiIiISKUYCImIiIiIiFSKgZCIiIiIiEilGAiJiIiIiIhUioGQiIiI\\\n",
       "iIhIpRgIiYiIiIiIVIqBkIiIiIiISKUYCImIiIiIiFSKgZCIiIiIiEilGAiJiIiIiIhU6v8Bwzne\\\n",
       "cMeGsoQAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[42] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAalRJREFUeJzt3Xd4VFXi//HPTHodWkgIXaRIE6REFEWFn3GXFVnrsiqo2EFF\\\n",
       "LIirFHVlFQVURNbVldVFQHYV1pVFkY70piJFRJpAKAIJJKTN3N8fPJkv05KZyUwm4b5fzzOPmXPP\\\n",
       "PffcSTD3k3PvORbDMAwBAAAAAEzHGukOAAAAAAAig0AIAAAAACZFIAQAAAAAkyIQAgAAAIBJEQgB\\\n",
       "AAAAwKQIhAAAAABgUgRCAAAAADApAiEAAAAAmBSBEAAAAABMikAIAAAAACZFIAQAAAAAkyIQAgAA\\\n",
       "AIBJEQgBAAAAwKQIhAAAAABgUgRCAEBQlixZIovFoiVLlkS6KwixtWvXKjY2Vnv37q3yY//6669K\\\n",
       "SkrSvHnzqvzYAGBGBEIAQLmmTJmiadOmRbobQfn44481adKkSHdDkuRwOPTqq6+qefPmio+PV8eO\\\n",
       "HTVjxgy/9z958qTuv/9+paWlKSkpSVdffbU2btzoUW/WrFm644471LJlS1ksFl111VUB9/VPf/qT\\\n",
       "BgwYoKZNmwa8b2XVrVtX9957r55//vkqPzYAmJHFMAwj0p0AAFRf7du3V7169TxGAh0Oh4qLixUb\\\n",
       "GyurtXr+ffF3v/udtmzZoj179kS6Kxo5cqT+8pe/6L777lO3bt00d+5cffHFF5oxY4b+8Ic/lLuv\\\n",
       "w+HQFVdcoW+//VZPPfWU6tWrpylTpmj//v3asGGDWrZs6ax71VVXacOGDerWrZs2b96sjh07BjSK\\\n",
       "u3nzZnXu3FkrV65Ujx49gj3dStm2bZvatm2rhQsX6pprrolIHwDALAiEAOCH/Px8JSUlRbobEeEr\\\n",
       "ENYE1SUQHjhwQM2bN9f999+vyZMnS5IMw1CvXr20e/du7dmzR1FRUT73/+STT3Tbbbdp9uzZuvnm\\\n",
       "myVJR48eVatWrfSb3/xGH3/8sbPu/v371bBhQ1mt1qC+d4899pjmzJmjPXv2yGKxBHfCIdChQwd1\\\n",
       "7txZH374YcT6AABmUD3/pAsAYXTgwAENHjxYmZmZiouLU/PmzfXQQw+puLhYkjRt2jRZLBYtXbpU\\\n",
       "Dz/8sOrXr69GjRo5958yZYratWunuLg4ZWZmasiQITp58qTLMXbu3KmbbrpJGRkZio+PV6NGjfSH\\\n",
       "P/xBubm5zjoLFixQz549VatWLSUnJ6t169Z69tlnK+y/P/sVFRVp9OjRuvDCCxUXF6fGjRvr6aef\\\n",
       "VlFRkUd7//znP9W9e3clJiaqdu3auvLKK/XVV19Jkpo1a6YffvhBS5culcVicbkF0dczhLNnz1aX\\\n",
       "Ll2UkJCgevXq6Y477tCBAwdc6tx1111KTk7WgQMH1L9/fyUnJystLU1PPvmk7HZ7hZ/B3Llz1bdv\\\n",
       "X+f3sEWLFnrxxRdd9r3qqqv0xRdfaO/evc6+N2vWzGebd911l7Oe+2vMmDEV9qmi/paUlOjhhx92\\\n",
       "llksFj300EP65ZdftGrVqnL3/9e//qX09HTdeOONzrK0tDTdeuutmjt3rsv3tXHjxpUasZ0zZ46u\\\n",
       "ueYajzDo63No1qyZ7rrrLuf7sn8/K1as0KOPPqq0tDTVqlVLDzzwgIqLi3Xy5EkNHDhQtWvXVu3a\\\n",
       "tfX000/L29+m/9//+3/6/PPPvW4DAIROdKQ7AABV6eDBg+revbvzeaw2bdrowIED+te//qWCggLF\\\n",
       "xsY66z788MNKS0vTqFGjlJ+fL0kaM2aMxo4dqz59+uihhx7Sjh079M4772jdunX65ptvFBMTo+Li\\\n",
       "YmVnZ6uoqEiPPPKIMjIydODAAf33v//VyZMnZbPZ9MMPP+h3v/udOnbsqBdeeEFxcXH66aef9M03\\\n",
       "35Tbf3/2czgc6tevn1asWKH7779fF110kb7//ntNnDhRP/74o+bMmeOsO3bsWI0ZM0aXXXaZXnjh\\\n",
       "BcXGxmrNmjVatGiRrr32Wk2aNEmPPPKIkpOT9ac//UmSlJ6e7rN/06ZN0913361u3bpp3LhxOnz4\\\n",
       "sN544w1988032rRpk2rVquWsa7fblZ2draysLL322mv6+uuv9frrr6tFixZ66KGHyv0cpk2bpuTk\\\n",
       "ZA0fPlzJyclatGiRRo0apby8PI0fP17S2efgcnNz9csvv2jixImSpOTkZJ9tPvDAA+rTp49L2fz5\\\n",
       "8zV9+nTVr1/fWXbs2LFy+1YmJSVFcXFxkqRNmzYpKSlJF110kUud7t27O7f37NnTZ1ubNm3SJZdc\\\n",
       "4hH0unfvrnfffVc//vijOnTo4Fe/ynPgwAHt27dPl1xySaXbKvvZHzt2rFavXq13331XtWrV0sqV\\\n",
       "K9WkSRO9/PLLmjdvnsaPH6/27dtr4MCBLvt36dJFEydO1A8//KD27dtXuj8AAB8MADCRgQMHGlar\\\n",
       "1Vi3bp3HNofDYRiGYXzwwQeGJKNnz55GaWmpc/uRI0eM2NhY49prrzXsdruzfPLkyYYk4+9//7th\\\n",
       "GIaxadMmQ5Ixe/Zsn/2YOHGiIck4evRoQP33Z7+PPvrIsFqtxvLly13Kp06dakgyvvnmG8MwDGPn\\\n",
       "zp2G1Wo1fv/737ucj2H832dhGIbRrl07o1evXh7HWbx4sSHJWLx4sWEYhlFcXGzUr1/faN++vXHm\\\n",
       "zBlnvf/+97+GJGPUqFHOskGDBhmSjBdeeMGlzc6dOxtdunQp/0MwDKOgoMCj7IEHHjASExONwsJC\\\n",
       "Z1nfvn2Npk2bVtieNzt37jRsNpvx//7f/3P5OZDk1+uDDz5w6ccFF1zgcYz8/HxDkvHMM8+U25ek\\\n",
       "pCTjnnvu8Sj/4osvDEnG/Pnzve7n63vny9dff21IMj7//HOPbZKM0aNHe5Q3bdrUGDRokPN92b+f\\\n",
       "7Oxsl5+jHj16GBaLxXjwwQedZaWlpUajRo289nHlypWGJGPWrFl+9x8AEDhuGQVgGg6HQ3PmzNH1\\\n",
       "11+vrl27emx3v0Xuvvvuc3mu6+uvv1ZxcbGGDRvmMlJz3333KTU1VV988YUkyWazSZK+/PJLFRQU\\\n",
       "eO1L2UjZ3Llz5XA4/D4Hf/abPXu2LrroIrVp00bHjh1zvsom51i8eLGks7cGOhwOjRo1ymPkKZhn\\\n",
       "x9avX68jR47o4YcfVnx8vLO8b9++atOmjfPzOdeDDz7o8v6KK67Qzz//XOGxEhISnF+fOnVKx44d\\\n",
       "0xVXXKGCggJt37494L67y8/P1+9//3vVrl1bM2bMcPk5WLBggV+v7Oxs5z5nzpxxjhaeq+xzOnPm\\\n",
       "TLn9qez+/vr1118lSbVr1650W4MHD3b5OcrKypJhGBo8eLCzLCoqSl27dvX6PS/rg78jsgCA4HDL\\\n",
       "KADTOHr0qPLy8vy+/ax58+Yu78vWZGvdurVLeWxsrC644ALn9ubNm2v48OGaMGGCpk+friuuuEL9\\\n",
       "+vXTHXfc4QyLt912m9577z3de++9euaZZ9S7d2/deOONuvnmm8t9/suf/Xbu3Klt27YpLS3NaxtH\\\n",
       "jhyRJO3atUtWq1Vt27b16/OoiK/PR5LatGmjFStWuJTFx8d79LF27do6ceJEhcf64Ycf9Nxzz2nR\\\n",
       "okXKy8tz2Xbuc5rBuu+++7Rr1y6tXLlSdevWddnmflupPxISErw+v1lYWOjcHs79A2WE4Lm9Jk2a\\\n",
       "uLwv+9lv3LixR7m373lZHyI5sQ0AmAGBEAB8qMxF9uuvv6677rpLc+fO1VdffaVHH31U48aN0+rV\\\n",
       "q9WoUSMlJCRo2bJlWrx4sb744gvNnz9fs2bN0jXXXKOvvvrK54yT/uzncDjUoUMHTZgwwWsb7hfk\\\n",
       "kVLerJrlOXnypHr16qXU1FS98MILatGiheLj47Vx40aNGDEioBFXb9544w3NmDFD//znP9WpUyeP\\\n",
       "7Tk5OX61Y7PZnD9DDRo00OLFi2UYhkvAOXTokCQpMzOz3LYaNGjgrHsuf/f3V1n49SeUl/EVHn19\\\n",
       "f72Ve2ujrA/16tXzuy8AgMBxyygA00hLS1Nqaqq2bNkS1P5li3Tv2LHDpby4uFi7d+/2WMS7Q4cO\\\n",
       "eu6557Rs2TItX75cBw4c0NSpU53brVarevfurQkTJmjr1q3685//rEWLFjlv6fSlov1atGih48eP\\\n",
       "q3fv3urTp4/Hq2wEr0WLFnI4HNq6dWu5x/N3hMbX51NWFqpFzpcsWaJff/1V06ZN02OPPabf/e53\\\n",
       "6tOnj9fbHAMdXVq+fLmefPJJDRs2TLfffrvXOg0aNPDrNWvWLOc+nTp1UkFBgbZt2+bS1po1a5zb\\\n",
       "y9OpUydt3LjRI+yuWbNGiYmJatWqVUDn6UubNm0kSbt37/a6/dSpUx5lZSPOoVbWB/eJeAAAoUUg\\\n",
       "BGAaVqtV/fv31+eff67169d7bK/oNrk+ffooNjZWb775pkvd999/X7m5uerbt68kKS8vT6WlpS77\\\n",
       "dujQQVar1Xnb3/Hjxz3aLwsF3m4NLOPPfrfeeqsOHDigv/3tbx51z5w545wxtX///rJarXrhhRc8\\\n",
       "gsa555eUlOSxrIY3Xbt2Vf369TV16lSXc/jf//6nbdu2OT+fyiobYTq3j8XFxZoyZYpH3aSkJL9v\\\n",
       "IT106JBuvfVW9ezZ0zlTqTfBPEN4ww03KCYmxqWPhmFo6tSpatiwoS677DKXfmzfvl0lJSXOsptv\\\n",
       "vlmHDx/Wp59+6iw7duyYZs+ereuvv97r84XBaNiwoRo3buz134ckjyVG/ve//6mwsDAsS0Ns2LBB\\\n",
       "NptN7dq1C3nbAID/wy2jAEzl5Zdf1ldffaVevXo5l2Q4dOiQZs+erRUrVrgsi+AuLS1NI0eO1Nix\\\n",
       "Y3XdddepX79+2rFjh6ZMmaJu3brpjjvukCQtWrRIQ4cO1S233KJWrVqptLRUH330kaKionTTTTdJ\\\n",
       "kl544QUtW7ZMffv2VdOmTXXkyBFNmTJFjRo1Knf5AX/2u/POO/XJJ5/owQcf1OLFi3X55ZfLbrdr\\\n",
       "+/bt+uSTT/Tll1+qa9euuvDCC/WnP/1JL774oq644grdeOONiouL07p165SZmalx48ZJOjv9/zvv\\\n",
       "vKOXXnpJF154oerXr++coOZcMTExeuWVV3T33XerV69eGjBggHPZiWbNmunxxx8P9tvm4rLLLlPt\\\n",
       "2rU1aNAgPfroo7JYLProo4+8hpIuXbpo1qxZGj58uLp166bk5GRdf/31Xtt99NFHdfToUT399NOa\\\n",
       "OXOmy7aOHTuqY8eOkoJ7hrBRo0YaNmyYxo8fr5KSEnXr1k1z5szR8uXLNX36dJfbKEeOHKl//OMf\\\n",
       "2r17t3PdxJtvvlmXXnqp7r77bm3dulX16tXTlClTZLfbNXbsWJdjLVu2TMuWLZN09rnZ/Px8vfTS\\\n",
       "S5KkK6+8UldeeWW5fb3hhhv02WefedzeKknbtm3Tb3/7W/Xr108HDx7UG2+8IZvNppUrV2rGjBka\\\n",
       "MGBAwJ+NLwsWLND111/PM4QAEG6RmNoUACJp7969xsCBA420tDQjLi7OuOCCC4whQ4YYRUVFhmH8\\\n",
       "37T53pamMIyzy0y0adPGiImJMdLT042HHnrIOHHihHP7zz//bNxzzz1GixYtjPj4eKNOnTrG1Vdf\\\n",
       "bXz99dfOOgsXLjRuuOEGIzMz04iNjTUyMzONAQMGGD/++GO5ffd3v+LiYuOVV14x2rVrZ8TFxRm1\\\n",
       "a9c2unTpYowdO9bIzc11qfv3v//d6Ny5s7Ner169jAULFji35+TkGH379jVSUlIMSc4lAtyXnSgz\\\n",
       "a9YsZ3t16tQxbr/9duOXX35xqTNo0CAjKSnJ4/xGjx5t+POr6ZtvvjEuvfRSIyEhwcjMzDSefvpp\\\n",
       "48svv/Toz+nTp40//vGPRq1atQxJ5S5B0atXL59LSHhbbiFQdrvdePnll42mTZsasbGxRrt27Yx/\\\n",
       "/vOfHvXKluTYvXu3S/nx48eNwYMHG3Xr1jUSExONXr16ef0ZLfsMgz2PjRs3GpI8li2RZAwfPty4\\\n",
       "5ZZbjISEBKNBgwbG5MmTjalTpxqJiYnGvffeaxiG738/Zf1yXzLF28/Ctm3bDEku/2YAAOFhMYww\\\n",
       "3OcBAABqrN69eyszM1MfffSRs8xisWj06NEaM2ZM2I8/bNgwLVu2TBs2bGCEEADCjGcIAQCAi5df\\\n",
       "flmzZs1yLiVSlX799Ve99957eumllwiDAFAFeIYQAAC4yMrKUnFxcUSOXbduXZ0+fToixwYAM2KE\\\n",
       "EAAAAABMihFCAABQIaYcAIDzEyOEAAAAAGBSBEIAAAAAMCluGQVQIzkcDh08eFApKSnMRAjAhWEY\\\n",
       "OnXqlDIzM2W1Bv63727duunHH38MaJ9WrVpp3bp1AR8LACKNdQgB1Ei//PKL3nvvvUh3A0A1NXbs\\\n",
       "WO3fv1+NGjUKaL9u3bpp/fr1QR2za9euhEIANQ4jhABqpJSUFElidBCAT2X/nwhEoCODwe7r7f9d\\\n",
       "ZX+jHzhwoD766COv+/F3fAChRiAEUCMRBAFUpLL/n/B3/1CHtE8//TSk7QFAeQiEAAAAbiwWS0CB\\\n",
       "MtBQeG599+OcPn3aa3/K/ssoIYBQYpZRAAAAN2WB0N+XJOXl5clmszlfvXr1Cnm/UlNTQ94mAHNj\\\n",
       "hBAAAMBNoCOEZfLy8pxfL1u2LCR96datm/Pr3NzckLQJAGUIhAAAAG6CDYTnjuB16tSp0v0YOHCg\\\n",
       "c9ZTRgcBhAOBEAAAwE0wgTA1NTWkI3jnzjZqtVoZHQQQFjxDCAAAUM24Lz1ht9sj2BsA5zMCIQAA\\\n",
       "gJtgJpUJRFpamse+Ze+9rUNYtq1fv36VPjcAOBe3jAIAALgJNuj569ixYz63+VqUXpI+//zzcHQH\\\n",
       "gIkRCAEAANyEOxCyliCA6oJACAAA4CbcgRAAqgsCIQAAgBsCIQCzYFIZAAAAADApRggBAADcMEII\\\n",
       "wCwYIQTgt7/85S+yWCwaNmxYufVmz56tNm3aKD4+Xh06dNC8efNcthuGoVGjRqlBgwZKSEhQnz59\\\n",
       "tHPnzjD2HAACE+5lJwCguiAQAvDLunXr9Ne//lUdO3Yst97KlSs1YMAADR48WJs2bVL//v3Vv39/\\\n",
       "bdmyxVnn1Vdf1ZtvvqmpU6dqzZo1SkpKUnZ2tgoLC8N9GgDgFwIhALMgEAKo0OnTp3X77bfrb3/7\\\n",
       "m2rXrl1u3TfeeEPXXXednnrqKV100UV68cUXdckll2jy5MmSzo4OTpo0Sc8995xuuOEGdezYUR9+\\\n",
       "+KEOHjyoOXPmVMHZAEDFCIQAzIJACKBCQ4YMUd++fdWnT58K665atcqjXnZ2tlatWiVJ2r17t3Jy\\\n",
       "clzq2Gw2ZWVlOet4U1RUpLy8PJcXAIQLgRCAWRAIAZRr5syZ2rhxo8aNG+dX/ZycHKWnp7uUpaen\\\n",
       "Kycnx7m9rMxXHW/GjRsnm83mfDVu3DiQ0wAAAIAXBEIAPu3fv1+PPfaYpk+frvj4+Ij2ZeTIkcrN\\\n",
       "zXW+9u/fH9H+ADi/MUIIwCxYdgKATxs2bNCRI0d0ySWXOMvsdruWLVumyZMnq6ioSFFRUS77ZGRk\\\n",
       "6PDhwy5lhw8fVkZGhnN7WVmDBg1c6nTq1MlnX+Li4hQXF1fZUwIAvxD0AJgFI4QAfOrdu7e+//57\\\n",
       "bd682fnq2rWrbr/9dm3evNkjDEpSjx49tHDhQpeyBQsWqEePHpKk5s2bKyMjw6VOXl6e1qxZ46wD\\\n",
       "ANUBo4MAzIARQgA+paSkqH379i5lSUlJqlu3rrN84MCBatiwofMZw8cee0y9evXS66+/rr59+2rm\\\n",
       "zJlav3693n33XUlyrmP40ksvqWXLlmrevLmef/55ZWZmqn///lV6fgDgSyBhj1AIoCYjEAKolH37\\\n",
       "9slq/b+bDS677DJ9/PHHeu655/Tss8+qZcuWmjNnjkuwfPrpp5Wfn6/7779fJ0+eVM+ePTV//vyI\\\n",
       "P6cIAGUIhADMwmIYhhHpTgBAoPLy8jRhwgQuxAB4NWbMGOXm5io1NTWg/Ww2m/Ly8lSvXj2XP3aV\\\n",
       "x+Fw6NixY0pNTVVubm4w3QWAiOEZQgAAAAAwKW4ZBQAAcMMtowDMgkAIAADghkAIwCwIhADOe6NH\\\n",
       "j450FwCE0NixY8N+DAIhALMgEAIAALghEAIwCwIhAACAGwIhALNgllEAAAAAMClGCAEAANwwQgjA\\\n",
       "LAiEAAAAbgiEAMyCQAgAAOCGQAjALAiEAAAAbgiEAMyCQAgAAOCGQAjALJhlFAAAAABMihFCAAAA\\\n",
       "N4wQAjALAiEAAIAbAiEAsyAQAgAAuCEQAjALAiEAAIAbAiEAsyAQAgAAeEHQA2AGzDIKAAAAACbF\\\n",
       "CCEAAIAbbhkFYBYEQgAAADcEQgBmQSAEAABwQyAEYBYEQgAAADcEQgBmQSAEAABwQyAEYBYEQgAA\\\n",
       "ADcEQgBmwbITAAAAAGBSjBACAAC4YYQQgFkQCAEAANwQCAGYBbeMAgAAuCkLhP6+QtH+ubZs2RKS\\\n",
       "4wBARQiEAAAAbsIdCCvSoUMHr+XdunUL+bEAmBuBEAAAwE24A6FhGM6Xuy1btnjUS0pKkiStX78+\\\n",
       "+JMCAC8IhAAAANWIt9HB06dPR6AnAMyAQAgAAOAmmBHCvLw82Ww256tXr14RPgsAqBizjAIAALgJ\\\n",
       "dpbRvLw859fLli0Leb8AINQIhAAAAG6CDYSpqanOrzt16hTqbgFAyBEIAQAA3AQTCFNTU5Wbm1vp\\\n",
       "Y3///fcezxHabLZKtwsA3hAIAQAA3IR7Yfq0tDQdO3bMazvnzjzq3nbXrl0DPhYAlIdJZQAAAKqY\\\n",
       "exh09/3333stX7duXTi6A8DEGCEEAABwE+4RQm/rD56rffv2FdYBgFAgEAIAAHgRTNADgJqGQAgA\\\n",
       "AOAm3COEAFBdEAgBAADcEAgBmAWBEAAAwA2BEIBZEAgBAADcEAgBmAXLTgAAAACASTFCCAAA4IYR\\\n",
       "QgBmQSAEAABwQyAEYBYEQgAAADcEQgBmQSAEAABwQyAEYBYEQgAAADcEQgBmwSyjAAAAAGBSjBAC\\\n",
       "QDXma+TBMIwq7klkVWYEpqLPymyjO2b72QkWI4QAzIJACAA1jNVqrps7SktLw9a23W4PW9uo2QiE\\\n",
       "AMyCQAgANUw4A1J1dOzYsaD3LSgoKHd7TExM0G3j/EYgBGAWBEIAqCGio6NVXFxsuovPlJSUoPZ7\\\n",
       "9tlnlZCQ4HP7jh07uH0SPhEIAZiFue47AhCQcePGqVu3bkpJSVH9+vXVv39/7dixo8L9Zs+erTZt\\\n",
       "2ig+Pl4dOnTQvHnzXLYbhqFRo0apQYMGSkhIUJ8+fbRz585wnUaNZhiG81VSUmLKC8+kpCSf2879\\\n",
       "fNxff/7zn8ttt02bNpXuW1RUlKKioirdTihdffXVGjNmjOluLQ61skDo7wsAaip+WwDwaenSpRoy\\\n",
       "ZIhWr16tBQsWqKSkRNdee63y8/N97rNy5UoNGDBAgwcP1qZNm9S/f3/1799fW7ZscdZ59dVX9eab\\\n",
       "b2rq1Klas2aNkpKSlJ2drcLCwqo4LdRAe/bscXmflZVVqdG9ylzAl5SUOENnaWmpSktLZRiG/v3v\\\n",
       "fwfdZihcccUVMgxDixYt0ujRo2W32yu8ZRYAAAIhAJ/mz5+vu+66S+3atdPFF1+sadOmad++fdqw\\\n",
       "YYPPfd544w1dd911euqpp3TRRRfpxRdf1CWXXKLJkydLOjuiM2nSJD333HO64YYb1LFjR3344Yc6\\\n",
       "ePCg5syZU0VnhpqmadOmLqN/q1evDqqdF154odIzlkZHe3/a4sYbb4zYqFxsbKyWLVvmUZ6QkKDd\\\n",
       "u3dHoEc1HyOEAMyCQAjAb7m5uZKkOnXq+KyzatUq9enTx6UsOztbq1atkiTt3r1bOTk5LnVsNpuy\\\n",
       "srKcdbwpKipSXl6eyws1w7p16/T8889HtA+5ubmyWCwaPXp0WI8zc+bMsLbvS1FRkc9tzZo1U926\\\n",
       "dauwN+cHAiEAsyAQAvCLw+HQsGHDdPnll6t9+/Y+6+Xk5Cg9Pd2lLD09XTk5Oc7tZWW+6ngzbtw4\\\n",
       "2Ww256tx48bBngqqSGlpqSwWi7p3766XXnpJFotFDocjIn2pVatWpdvo2bNnhXVuuummSh8nUEuW\\\n",
       "LKmwzrFjx9S0adPwd+Y8QiAEYBYEQgB+GTJkiLZs2RKxEZCRI0cqNzfX+dq/f39E+gH/eVvSoaJg\\\n",
       "tnPnTn366ach7ceHH37oV72YmBht375dBw8eVEZGhsf25cuXV9hGVd8yOmfOHPXq1cuvunv27GFW\\\n",
       "1QARBgGYAYEQQIWGDh2q//73v1q8eLEaNWpUbt2MjAwdPnzYpezw4cPOC+yy/5ZXx5u4uDilpqa6\\\n",
       "vBA68fHx5S7REChfwai8heAtFotatWqlm266SRaLJWTh5Q9/+EOFdQzDUHFxsVq3bq0GDRro0KFD\\\n",
       "MgxDjRs3Vnx8vM6cOeP38RITE4Pq57333quCggLl5+dr5MiR5QaNzp07yzAM3XDDDUEdCxVjhBCA\\\n",
       "WRAIAfhkGIaGDh2qzz77TIsWLVLz5s0r3KdHjx5auHChS9mCBQvUo0cPSVLz5s2VkZHhUicvL09r\\\n",
       "1qxx1kHVstvtKioqUmFhYUhu6fziiy98hjlftwU/+uijHmUVLefg78V4bGysWrdu7XXbX/7yl3KD\\\n",
       "5759+3TmzBnFx8eXe4xzlTcLrzcpKSkyDEN/+9vflJCQoMTERL388styOBzOSXQKCgpUUFDgfL9x\\\n",
       "48aAjgEAgC8sTA/ApyFDhujjjz/W3LlzlZKS4ryYt9lsztGkgQMHqmHDhho3bpwk6bHHHlOvXr30\\\n",
       "+uuvq2/fvpo5c6bWr1+vd999V9LZi/hhw4bppZdeUsuWLdW8eXM9//zzyszMVP/+/SNynmYXFRWl\\\n",
       "kpISSf7f8tigQQMdPnxYSUlJ2rVrl+rXry9Jat++vX744Qef+/laZH7q1KkeZeUFNfcQaLFYyg1u\\\n",
       "27dvl2EYGjZsmBYtWqSPPvpInTp18tl+ZRmGIavV6tcopz8TJIVy9Bb+YWF6AGZBIATg0zvvvCNJ\\\n",
       "uuqqq1zKP/jgA911112Szo6gnBsiLrvsMn388cd67rnn9Oyzz6ply5aaM2eOy0Q0Tz/9tPLz83X/\\\n",
       "/ffr5MmT6tmzp+bPnx/QKAxCy9dSCt6ce/F7+vRpjwmCgnHTTTf5/Xxqv379vJYnJCRUGCLfeOON\\\n",
       "oPoXDIfDIZvNVm7gi9QkO6gYgRCAWVgMnjAHUAPl5eVpwoQJfl2IhXupATPp1KmTvv3226D3D2TU\\\n",
       "r7S01Otto+V9z9PS0nTkyJGg+xcOcXFxKi4u9rotEr+Cz4fwMnLkSMXGxpZbZ+zYscrNzQ34eeOy\\\n",
       "EH/dddd5nRjJm5KSEs2fP1+pqanO5XkAoKbgGUIAgN8qEwYlKSkpyec2wzDUvXt3NWjQQA6Ho8Jn\\\n",
       "CL05evSoLBaL3nzzzcp0M6SKioq8jsCWlpZGoDfwF5PKADALAiEAwC+hGPkoKCgo9+J5zZo1Onjw\\\n",
       "YKUvsB977DHnhXp5M5tWlZKSEq1YscL5/uTJk0EFXlQdAiEAsyAQAgD8EorF3ctcfvnlQe8byBIQ\\\n",
       "UmDPR4bT5Zdf7pwl1GazVVj/9OnTzrBRr169KughzkUgBGAWBEIAQIVCPfnJmjVrgt43Pj5ev/76\\\n",
       "awh7U7GydQqr0rkzsv7666+MKAIAwoJACACoUN26dUPa3o4dOyq1f506dWQYhlq2bBmiHvmWlJQk\\\n",
       "q9WquLg4WSyWKpkIZvXq1R5lDodDmzZt8lqf5xFDjxFCAGZBIAQAVCiUMyeuXLlSLVq0CElbP/74\\\n",
       "Y4XPCNapUyfo9ouKilRQUOBS5s9ajZUdUT13mZZzXXLJJfrll1+c71u0aCGLxaKYmBhZLBbt3bu3\\\n",
       "UsfF/yEQAjALAiEAoEKtWrXyu26TJk2cz8qVvex2u/PrHj16hLRvZQvAewutFoulUreX/uMf//Ba\\\n",
       "fuzYMa/ll156qSwWi6KioioVEpKTk31ua9y4sTOE/Pzzzy7bmjVrFvQx4YpACMAsCIQAgApt377d\\\n",
       "r3p2u93rKJU/o2qVlZqaKsMwlJeXpxdffFEFBQWVHqm78847vZanpaV5lLVu3drj2cinn37aZ9t1\\\n",
       "69aVxWJRmzZtvG4P5tZUgknoEAgBmAWBEADgF8Mw9MADD3jddvHFF8swjCoJfhVJSUnRc889p4SE\\\n",
       "hEq3VV4bcXFxzq+Tk5P1448/etQZP368132jo6N1/PhxSWefp/T1uQUaaIuKigKqD98IhADMIvK/\\\n",
       "uQEANcbUqVM9bgc1DEObN2+OdNfC5qabbvJaXlxc7AwD+fn5AbXp/tyjr9FAi8WiI0eO+NXmiRMn\\\n",
       "FBMTU2E9b9+/mvYqm+CHgAYAlVc9FmcCAKCa+te//hV0wGjUqJHfdQ3D8HqctLS0Cmc3rYqZT80m\\\n",
       "kGBJAAVQkzFCCABABYK94N+/f7/X8k8//TSgY/i6dXTYsGGEwTDhllEAZkEgBABUqbIZOMteVqtV\\\n",
       "33//faS7JUk6cuSIS99GjBihb7/9NqgL/vKC2u9//3sVFRWpdu3a6t+/v1+hrrCw0NmPWrVqyTAM\\\n",
       "TZw4MeB+wT8EQgBmQSAEAFSJslsi3Ue7DMNQx44dvV5k169fv8oWXV+zZo3S09Ndyl599VV17tzZ\\\n",
       "71G4svPzp35sbKyOHz+uzz77zK+24+LinG2fOHHCr30QPAIhALMgEAIAghLorYrBzEB69OhR56Lr\\\n",
       "ffv21ZkzZ5Sbm6sePXooKipKCQkJFQbGsv0tFou+/PJLn/UuvfRSr+WGYahJkyYV9vWqq66Sw+Eg\\\n",
       "HJwnCIQAzIJACAAIyIoVK5y3elosFnXt2rXCfUJxwTxv3jwlJiaqVq1aWr16tRwOhwoLCxUTE6O/\\\n",
       "/vWvXvexWq0ugfG6665T3bp1Pep5KyuzevVq7dmzR5MmTfJZJz4+XosXL/b/ZAAAqCYIhAAAv6xc\\\n",
       "uVIWi0VXXHGFS/mGDRvK3a8q1iZ88MEHPUJnz549vY5iHj9+XBaLRUVFRTIMQy1atHCuCehu2rRp\\\n",
       "ysrKkiQ99thjSkpK8lrvzJkz5fZv6dKlioqKUmxsrH799Vd/TgkRxgghALMgEAIAPDgcDtWuXdvl\\\n",
       "gvfyyy8PuJ3vvvuuSmfBtFgs6tKli6KiovTNN9+UWzc+Pl5Wq1U///yz1+116tTRoEGDXMpOnz6t\\\n",
       "qKgol7KKzm/9+vXO20lLSkpUr149WSyWKns2EsELVxgcP36813a2bNkShrMAgPKxDiEAmMRPP/0k\\\n",
       "u92uVq1alXsRGxUV5XOZg0B16tQpJO0EYuPGjZXaPyYmRsXFxT63BxrkunXr5vM4Vb1khK+1DuEp\\\n",
       "nOsQPv30017LO3TowDIiAKocI4QAcJ576623ZLFY1LJlS7Vp08b57J/77JYPPfSQ11lAK6OmhY+e\\\n",
       "PXuWGwZDLSEhocqOVfbcJ/xTFbeMGobhfAFApDBCCADnuUcffdRr+Y033hiS9su7GC4oKFB8fHxI\\\n",
       "jlMVli9fXqXHKywsrJLj1LRgXh0EM0KYl5cnm83mLO/UqZOWLl1a7n6M2gKINP5UCADVWHp6uiZP\\\n",
       "nhz0/vn5+SHsjXfljXLFxcWppKRE0dGB/f2xVatWstvtKikpqbJRrWeffTYs7WZnZ/vc1r1790q1\\\n",
       "XTba27hxY5917HZ7pY5hVsGOEObl5Tlfy5Yt89r2jBkzXI5ThpFCAJFAIASAauzIkSN65JFHnCMJ\\\n",
       "gfI1K2YolZSUlLs9OjpaJSUlLrfHGYah0tJSj7BXdp47duyQ1WpVdHS07Ha74uLivLb95z//2dne\\\n",
       "oUOHKuxrbGysz21//vOfK9w/GPPnz/c5ArRmzZqg261Tp47zZ+KXX37xGbqZqKRqpaamOl9XXnml\\\n",
       "1zoDBgzwWs5IIYBIIBACQA0RExMT1H7Bjjq4B7hrrrnGa72KAqEvUVFRstvtLsfw9fxiYWGhTp48\\\n",
       "6Xx/zTXXyDAMl1G9jIwMn+da1n7ZUhNlx/ruu++cffBl48aNHqNBgd7q6XA4PD7Pyo4GnThxwuW9\\\n",
       "3W73GgovvvjiSh3HrIIZIUxNTVVubq7zVd7tohLPEAKoHgiEAFBDTJw4Meh9A7ngTEhI8Fp/4cKF\\\n",
       "QR8/FGw2m/Piuby+nHuLZFRUlM9zt1gs6tChQ4W3pHbp0sWjLCEhodKzmVZWy5YtPcq4PTR0WIcQ\\\n",
       "gFkQCAGgBmjWrJkeeeSRSrVRu3Zt59c33HCD1xErwzBUUFDgs42ioqJK9aEqWK1Wl9tSK6O8Bee9\\\n",
       "BcWqtHXrVq/l3kZZGYEKXFUEQgIlgOqAQAgA1VhZsNm9e3el2zr3lss5c+YE1UZsbKxSUlJcynzN\\\n",
       "Yno+cF+E3t2ePXuqpiNe+Hpm0NeyGYZh6PTp0+Hs0nklnIHw3D/OnOv6668PRdcBICAsOwEAJnDs\\\n",
       "2DGXUaKSkpKgn0nMy8tTRkaGDh8+rISEBL3xxhuh6ma1U94kNJK0adMmNWvWrGo6EwJVMcnQ+SKc\\\n",
       "C9MfP348mC4BQFgwQggAJtC8eXOX9yNGjKhUe4cOHdLEiRNNMeJU3sV+VlZWFfbEP9x+CAAIBIEQ\\\n",
       "AEzAPbhVZoIa6WzoGDZsWJWtERhJvmY+laTMzMwq7Il/qmqx+/Mdk8oAMIvz/zc5AJyndu7c6XJB\\\n",
       "+v3330e6S+ctwzA8nic895nMSPA1qc28efOquCfnJwIhALMgEAJADXTmzBm1atXKpaxjx44BLUIe\\\n",
       "7MyTEydO1JNPPhnUvpWxZcsWXX311bruuus81uCrCqWlpTIMw7luoc1mq/I+lPnnP//pc9mLe++9\\\n",
       "t4p7c34iEAIwCwIhANRAycnJXss7dOjgtfzo0aMeZYFexP7xj3+UxWLR8OHD9frrr1fZRXC/fv2c\\\n",
       "awYuWbJEX375perUqaN77rmnUu2ePn3a5YLe35Ab6dtkP/nkE915550+t5e3bAj8RyAEYBYEQgAw\\\n",
       "gXr16ik/P9/5PtDRwTNnzmjGjBke5eGeYdRut+vzzz/3uu3bb78Nul2Hw+GxfMbrr79eqUlybDab\\\n",
       "MxxUdv3D8tx2220V1hkyZEjYjm8WBEIAZkEgBIAayNe09eXdxpiYmOhc1zBQ9evX91o+fPjwgNsK\\\n",
       "xM6dO31u27BhQ9Dt+lpf0Nf6cBWxWq3Ky8tzvo+JifH6ORcVFSkqKqrC5Sx88XfNxylTpuhvf/tb\\\n",
       "UMcAAJgLgRAAqrGYmBilpaXpzJkzLuU2m01FRUUuZSkpKWGb6MRXgAn3yEibNm28lodrJs1gR/a8\\\n",
       "hT/3W0vtdrvi4+PlcDhUUlIS1Gf31ltv+V33/vvv9xl8UTFGCAGYBYEQAKqx0tJSHTt2TImJiWrY\\\n",
       "sKHLttjYWOeIn2EYLiNUoXbkyBGv5Xv27AnbMcs4HA7FxMRIOnvrq2EYiouL81l/7ty5zot0XyOb\\\n",
       "vpQdJ1SSkpJkGIaOHj2q6Ohoj+1ls8Pm5ubqrrvuUv369fXdd9+F7PgOh8MjrAQadKrjq6ioyOVn\\\n",
       "39ursgiEAMzC87cTAKBaOnjwYMSOHRUVpVtuuUWzZ892liUnJ6tRo0ZhP7bFYlFxcbFfdUtLS9W/\\\n",
       "f3/n+6NHjyo/P19JSUl+7R/ILK3+KCgoqHASmo4dO7q8v/jii2WxWDzWP+zevXvQ/YiLi/MYUUb5\\\n",
       "Agl6BEIANRmBEKjhdu/ereXLl2vv3r0qKChQWlqaOnfurB49eig+Pj7S3cN55JNPPpEknThxQrVq\\\n",
       "1aqWF8EJCQkeZU2aNNGvv/7q1/7uS3n4yzCMkH4ehmEoOTnZOcnN8ePHtW7duqDbKy4uDnkfzYDP\\\n",
       "C4AZEAiBGmr69Ol64403tH79eqWnpyszM1MJCQk6fvy4du3apfj4eN1+++0aMWKEmjZtGunuIgS8\\\n",
       "hZ1ICHbilarg7RlAf2+l3b59e6WOHerAlZ+fL5vNpjNnzqikpMRrndjYWNntdtnt9grbs1qt+vnn\\\n",
       "n0PWv/MdI4QAzIJnCIEaqHPnznrzzTd11113ae/evTp06JA2bNigFStWaOvWrcrLy9PcuXPlcDjU\\\n",
       "tWtXl9v8UDPFxMSEZH253NxcWa1WRUVFhXVphEhp1qxZ0Pu2bt260sfv3Llzpds412WXXeYzDNrt\\\n",
       "dhUVFam0tFQNGjTwq70LLrgglN0DAJwHCIRADfSXv/xFa9as0cMPP6zGjRt7bI+Li9NVV12lqVOn\\\n",
       "avv27VwE1mAOh0OGYfj9DF15Dhw4oFq1askwDOdELd7WFqzJvD0D6B58x40bF7bjb968OWRtFRcX\\\n",
       "63//+5969erlse2Pf/yjy7OJ27ZtC9lxcRaTygAwCwIhUANlZ2f7Xbdu3brq0qVLGHuDcArlhWbL\\\n",
       "li09yv74xz+GrP3qIDExscI6f/rTn/xu78SJE2rcuLFWrlxZYd2dO3eGZHZL6ezspGUznn788cce\\\n",
       "2z/44IOQHAe+EQgBmAXPEALniSNHjujIkSMeMxO6z2AI83Jfy7CM3W4/b9ar83VhnpycrAMHDqhJ\\\n",
       "kyZeQ5uvZSzq1KkjSbr88sslnR1tPPezKikpUWpqasjXRSybTEaSMjMzPba7rwv58MMPl9ve448/\\\n",
       "rtdee01Wq5Xw4ieeIQRgFgRCoIbbsGGDBg0apG3btjkvdC0Wi3OCC38mm4A5xMTEeH0eraJlEcIt\\\n",
       "NjbW2S9vyy1IZ2+J7NixowzD0Hvvvae77rrLa1u+Qm9+fr5q1arlsw+vvvqqR9mJEyc8yrytJRhq\\\n",
       "mzZtCnifmTNnei2/5JJLtGHDhsp2yZQIhADMgltGgRrunnvuUatWrbRy5Ur9/PPP2r17t8t/gTLe\\\n",
       "nkMcNGhQRC9m69Wr5xJSy/6QUatWLf3000965JFHZLFY1LZtW5WWlsput+vuu++WxWLRvffe69Fe\\\n",
       "cnJyUP149NFHPcoCubU0VCwWizp16lRunauvvtqjzFuItlqthMFK4JZRAGbBCCFQw/3888/697//\\\n",
       "rQsvvDDSXUENUDaK7HA4Ij4yaLfbfa4PmJub6/WZx3O9//77ev/99xUfHy+LxeJzdLAi3iZmkqRn\\\n",
       "nnlG77zzTlBtBiM6OtrnjKJHjhxR/fr1JUmLFi3y2H7umoVlfN0dEKrnHCNp7NixYT8GI4QAzIIR\\\n",
       "QqCG6927t7799ttIdwM1THlhcPPmzYqKitIll1xSYTt79+7VFVdcoSuuuEL//e9/A1rKIlS3XxYW\\\n",
       "FvoVBm+//XbNmTNHNpvNWTZ9+nTt27fPa/0mTZqEpH/uBg0aJMMwnC+73S7DMHyGQUlKS0tz1vfG\\\n",
       "fa3FMWPGhLLLAIDzGCOEQA333nvvadCgQdqyZYvat2/vnJmwTL9+/SLUM9RE33//vXMtvU2bNjmf\\\n",
       "R3XncDg8JqJZsWJFuW23adNGU6ZM0aRJk/Sf//wndJ32w7nncPLkSb/3s1qtXm/HrIxp06Z5HKOy\\\n",
       "yp69/Otf/6q7777b5yQ58B8jhADMgkAI1HCrVq3SN998o//9738e25hUBoHyNittVFSUy89RQUGB\\\n",
       "kpKSAm57+/btuuaaayrVv0B9/fXX6t27d9D72+12r+HXXUpKissoXePGjfXLL78EfdxgWCwWPfjg\\\n",
       "g1V6zPMZgRCAWXDLKFDDPfLII7rjjjt06NAhORwOlxdhEOey2WyyWCxq3rx5QPuV/TyVCXbilqr2\\\n",
       "1ltvVSoMlrFarRUuK+F+y+b+/fsrfVxEFpPKADALAiFQw/366696/PHHlZ6eHumuoBqzWCzO0LJn\\\n",
       "zx5NmDAhoP1HjRrl/LomTEqSkZGhoUOHhqy9uLg451qE7nx9Ht5GCAP93BE5BEIAZkEgBGq4G2+8\\\n",
       "UYsXL450N1CN7d6926PsiSeeCKiNvn37hqo7YWexWHTo0KGA9nE4HFq1apX++te/avHixTp58qRH\\\n",
       "0FuwYIHHgvDljcI3bNhQN998s/N9QkKCHn/88YD6FSrTpk3TgAED9PXXX0fk+DURgRCAWfAMIVDD\\\n",
       "tWrVSiNHjtSKFSvUoUMHj0llvK2vhpojKipKiYmJWrx4sbp27RpUG5deeqnX8hMnTqh27douZbGx\\\n",
       "sV7XK+zRo4fz6yFDhujtt98Oqi+h5v58Y+vWrbV9+/aA2khMTCx3ltKoqCg9++yzGj58uE6dOiWL\\\n",
       "xaLo6Gi/QsDs2bMD6ks4nNvPmTNn1ogRXgBA1SEQAjXce++9p+TkZC1dulRLly512WaxWAiENZzD\\\n",
       "4dDp06fVrVs3SWe/p4WFhR4jVeU5fvy41/L09HSP8FevXj0dPHjQpcw9+EyePLlaBMKTJ0+6LCER\\\n",
       "jAceeKDCJSvsdrtefPFFffXVV1q9enWljlfVQj1DqpkwqQwAs+CWUaCG2717t8/Xzz//HJJjvP32\\\n",
       "22rWrJni4+OVlZWltWvXllt/9uzZatOmjeLj49WhQwfNmzfPZbthGBo1apQaNGighIQE9enTRzt3\\\n",
       "7gyqb+eu5+btVVRUFPCtX9Xp5e184+LiZLFYtG3bNr8+I1+hwNu6d+5hUJLuv/9+v45T1VJTUyvd\\\n",
       "xrvvvut33Yp+7qujUCxpYVbnwy2jM2fOrLZ9A1B98JsCOE8dOnRIr776aqXbmTVrloYPH67Ro0dr\\\n",
       "48aNuvjii5Wdna0jR454rb9y5UoNGDBAgwcP1qZNm9S/f3/1799fW7ZscdZ59dVX9eabb2rq1Kla\\\n",
       "s2aNkpKSlJ2dXeFMjnDVtm1bWSyWChdQL2+UyGKxKD8/X5J05ZVXeq3TrFkzr/uFU79+/WQYRrl9\\\n",
       "37hxY6WOEegsvIQrczkfAuEf/vCHSHcBQA1gMXiYAKjR7rnnHq/le/fu1dq1a3Xq1KlKtZ+VlaVu\\\n",
       "3bpp8uTJks6Gi8aNG+uRRx7RM88841H/tttuU35+vv773/86yy699FJ16tRJU6dOlWEYyszM1BNP\\\n",
       "PKEnn3xSkpSbm6v09HRNmzbN7wuYvLw8v2ZsLC4u1rhx4/xqs6ZLS0vzCOp2u13R0ZV7OiAmJsbj\\\n",
       "1tIuXbpUOpCVx/1Xk68L7op+hZWUlCgxMVGlpaVKTEzUgQMHVKtWLUlnZ0598cUX/e7T6dOng1p/\\\n",
       "MdJ+/PFHtW7d2vn+fPi1P3bs2ArrjBkzRrm5uQGPJNtsNuXl5WnEiBGKi4vza5+ioiK98sorSk1N\\\n",
       "VW5ubkDHC7eyfzvnw/cdQHjw506ghjtx4oTL69ixY1q7dq2WLFmi1157rVJtFxcXa8OGDerTp4+z\\\n",
       "zGq1qk+fPlq1apXXfVatWuVSX5Kys7Od9Xfv3q2cnByXOjabTVlZWT7bhH+OHj0qi8Widu3a6dix\\\n",
       "Yxo1alSlw6Dk/dbSYG+fvP/++5WRkVFunU6dOnmUvfHGG17rlneRe/ToUcXGxqq0tFSSVFBQoNq1\\\n",
       "ays1NVU9e/YMKAzm5+fXyDAonZ14CoE7H0YIz1XT+gug6hAIgRrus88+c3n95z//0ZYtW/TCCy9o\\\n",
       "zpw5lWr72LFjstvtHmscpqenKycnx+s+OTk55dYv+28gbUpn/wKfl5fn8oJ3W7duVVpaWkCBpyLu\\\n",
       "wSsqKkpRUVEuZXfeead27dql+vXr+2znqaee0jfffFPuBam3ZVQefvhhr3W/+uorn+00atTIa/mp\\\n",
       "U6f0zTff+NzPXVZWlhITE/2uXx0NHDgw0l1AhJQ9T12vXr1IdwVANUUgBM5TAwYM0JIlSyLdjZAZ\\\n",
       "N26cbDab89W4ceNId8lUvI00lpaWukzg8+GHH+qCCy7Q4cOHfbZz4YUX6oILLpDD4dB3333nsT0j\\\n",
       "I8N5S2dFx5ek6667zuexvC2fEYxgZxa12+3V5ja9f/zjH+rfv3+ku1Hj1MTRQV99euutt1z+vQJA\\\n",
       "GQIhcJ769ttv1blz50q1Ua9ePUVFRXlc4B8+fNjnbX8ZGRnl1i/7byBtStLIkSOVm5vrfO3fvz/g\\\n",
       "80HwQrF8QUpKisv7Dh06OC9OHQ6HDMMIeEF5SV4nT4rEiN7NN9/sEhKio6NltVplsVi8Pm9b1T77\\\n",
       "7DOCQADOh1tGz+3XgAEDqm0/AUQW6xACNdzw4cM9yg4fPqy5c+eqb9++Ltv9mYTlXLGxserSpYsW\\\n",
       "LlzoHF1wOBxauHChhg4d6nWfHj16aOHChRo2bJizbMGCBc6FzZs3b66MjAwtXLjQ+axYXl6e1qxZ\\\n",
       "o4ceeshnX+Li4vye4AHhUa9ePR07dizo/WfMmOFzmz8XqrGxsV5H/UaMGKEuXbqod+/eks7OjFvR\\\n",
       "2oKBmDFjhgYMGFBunYr6/8orr2jixIkqKioKWb8QXoEEveoctCwWC38IAFAuAiFQw23atMlrebdu\\\n",
       "3XTkyBHnrJPBXrAMHz5cgwYNUteuXdW9e3dNmjRJ+fn5uvvuuyWdfTapYcOGzpk8H3vsMfXq1Uuv\\\n",
       "v/66+vbtq5kzZ2r9+vXO9d4sFouGDRuml156SS1btlTz5s31/PPPKzMzk1vaqrlff/3Vr3pZWVle\\\n",
       "y7Ozsyt1/PKWfXCfyCiU/vjHP+oPf/iDz39DDRo08Kud4uJiRUVFBbzcBSKjpgfC5OTkSHcBQA1B\\\n",
       "IARqOG8TcITSbbfdpqNHj2rUqFHKyclRp06dNH/+fOekMPv27XO5UL/sssv08ccf67nnntOzzz6r\\\n",
       "li1bas6cOWrfvr2zztNPP638/Hzdf//9OnnypHr27Kn58+crPj4+4P5VdCEWFxdXo/86Xt0uNJOT\\\n",
       "k3X69Gmf2xs3bqxffvnF6zb3SWgCFcl1Kq1Wq8+fo/ImQ3LncDgIhTVETQ+EZeuLAkBFCIQAKjR0\\\n",
       "6FCft4h6m7jmlltu0S233OKzPYvFohdeeEEvvPBCqLp43jIMQwUFBdVmyYP8/HxZrVZde+21+umn\\\n",
       "n/Tzzz/7HbhPnz7t8RxhIMeNtCVLluiqq65yKQvmjw0Oh0MJCQkhva0VoVdTA6FhGM7+WK1WORyO\\\n",
       "atU/ANUPk8oANdB1113n18yHp06d0iuvvKK33367CnqFcElMTKxWo5yGYejLL7/Url27AuqXP9Pe\\\n",
       "X3HFFc4LcavVqtatW6t169bV4va3q6++2qMs2GcCCwsL1bRp08p2CfCqbLImu92uxx9/3FnubQIm\\\n",
       "AGCEEKiBbrnlFt10002y2Wy6/vrr1bVrV2VmZio+Pl4nTpzQ1q1btWLFCs2bN099+/bV+PHjI91l\\\n",
       "hEDdunX9fo6vOiouLtaJEydUu3Ztr9vdb8s0DEM//vhjVXXPL126dNGGDRuc7ysz8rJv3z7Nnj27\\\n",
       "3NF0RE5NHSF0N2HChIAnFANgLgRCoAYaPHiw7rjjDs2ePVuzZs3Su+++q9zcXElnL0zatm2r7Oxs\\\n",
       "rVu3ThdddFGEe4tQycnJUUxMTKS7USl16tSR3W73mCBm0KBB1WoU1JeNGze6vI+Nja1Ue7feemuN\\\n",
       "OG8zOl8CIQBUhEAI1FBxcXG64447dMcdd0iScnNzdebMGdWtW7fGhwZ452tx9pomKipKBQUFSkhI\\\n",
       "kHR25PDDDz+McK/8Z7PZXP4AU1mvvPKKRowYUel2EFoEQgBmwTOEwHnCZrMpIyODMGhSJSUlzueG\\\n",
       "SkpK1K1bNyUmJuraa69VYWGh83ki95+PFi1aOBeGr8p1HhMTExUdHa1atWpVu/UlrVarfvrpJ40a\\\n",
       "Ncrr9ry8PB0+fFhSaCa7GTlyZKXbQOidDwvTA4A/CIQAUI3FxcXJZrPpwgsv9DmxSmpqqsvoYXR0\\\n",
       "tNauXav8/Hx9+eWXzsBltVpdJkH5/PPP9dNPP0k6e/Fb1cs62O1250hbdZGXlye73a4WLVpo7Nix\\\n",
       "Pm/nzMjIkMViCclkN6G6ZfTnn39WRkaGHnjggZC0Z3bhDoQESwDVBYEQAKqx4uJi5eXladeuXT5H\\\n",
       "o/Ly8pzBzp/2ykyePNljuxkuSIuKipyjqYZh6K233lKTJk2Un5/vdVkMf2b0raxAJwsqKChQ//79\\\n",
       "lZSU5AwSLVq00OHDh/Xuu+/quuuuC1NPEQrBrLkKAOFCIASA80DLli3LXTy9TNu2bZ1ff/nll3I4\\\n",
       "HM73DoejRkxwctttt2nevHlBPVNZWFjoMRHM0KFDtXfvXiUmJnrdJysrK+xBuV69en599kePHpXF\\\n",
       "YlFSUpLmzp2rgoICr/W+/PJLn20EOvJVHV/uod7bq7LCOUJYNlIfjn4DQKDOjxkKAAAyDENWq1X7\\\n",
       "9+9Xo0aNvNb5+eefXd5HRUU5X+eOHlZXp0+fVlJSkqSzz02WlpYqNjbWrwvp5s2bB/28YlUs7m21\\\n",
       "WmWxWBQfH6/LLrtMH3/8serXry/p7IhgSkqKS4BHeFXFpDLu+xEIAUQCI4RADTdo0CAtW7Ys0t1A\\\n",
       "NdK4cWOvwcHXIup2uz3oMGi1WrVr1y5t3rzZYymJULv//vudYbBMdHS0c2SzbOKcsvfFxcW6/fbb\\\n",
       "FR0drfbt23uE4UC1a9euUvv7wzAMnTlzRgsXLlR6erozlCQlJREGq1gwI4R5eXmy2WzOV69evQI+\\\n",
       "JgBUNQIhUMPl5uaqT58+atmypV5++WUdOHAg0l1CNRAVFaXS0lKXslA/txQdHS273a4LLrhAF198\\\n",
       "sex2u7777jvVrl1bSUlJSktLU1RUlN/tJSYm6uTJk85wt3//frVo0UK1atXSTz/9pL/+9a8VtlE2\\\n",
       "yiZJMTEx+uc//6mSkhJ9//33QZ9nmS1btvjc9vnnnzv77XA4tHTp0mp5cb9t27ZId6HGCPaW0by8\\\n",
       "POeroj/WcasogOqAQAjUcHPmzNGBAwf00EMPadasWWrWrJl+85vf6F//+pdKSkoi3T1EUGxsrPLz\\\n",
       "81VaWqrU1NSQt79v3z6Psg4dOuj48eM6ffq0jhw5opKSEvXs2bPCtnr37q38/HzZbDZnWaNGjfTT\\\n",
       "Tz/pxIkTatGiRUj7Hixvy7qkpKTod7/7nfO9xWLRlVdeGfFbcN3/ICBJv/nNbyLQk5op2ECYmprq\\\n",
       "fF155ZURPAMA8A+BEDgPpKWlafjw4fr222+1Zs0aXXjhhbrzzjuVmZmpxx9/XDt37ox0FxEBhmEo\\\n",
       "OTlZMTExOnXqVFBt+HqOasGCBWrQoIFf+y9fvlyGYXgdoezVq5cMw9DXX38dVP+qWnFxscvnERMT\\\n",
       "o7y8PK91o6OjZRiGz1HS9u3bq7S0VMXFxSFZvsKd++Q5klSrVq2QHwf/JzU1Vbm5uc7X0qVLI90l\\\n",
       "AKgQgRA4jxw6dEgLFizQggULFBUVpd/+9rf6/vvv1bZtW02cODHS3UMNsnnzZuftj+7P6BmGoT59\\\n",
       "+gTc5pkzZ2QYhnJzc1VYWCjDMLRkyZLQd74Szh3x6du3r9c6DofDOaGNP6OApaWlHkHM4XDo+++/\\\n",
       "V1RUlDOwh3odSMMwPNrcvHlzSI9xPgvnLKPejgEAkUIgBGq4kpIS/fvf/9bvfvc7NW3aVLNnz9aw\\\n",
       "YcN08OBB/eMf/9DXX3+tTz75RC+88EKku4pqrHXr1srPz3cGv4svvthrvVBMHJOamhr0bJ/h5L6M\\\n",
       "xbx588qtG8jzkSdOnHB5XsxbAIiLi5NhGNqzZ4/f7VZk2LBhIWvLbMIZCH09M8izhAAigWUngBqu\\\n",
       "QYMGcjgcGjBggNauXatOnTp51Ln66qu5VQxeNWnSRHv37o10N8Jq9+7duuCCC5zvfV102+12jzKL\\\n",
       "xVLlF+lNmzZ1HtMwDMXExHjtmz+4M6BywjlyR/gDUF0wQgjUcBMnTtTBgwf19ttvew2D0tnnhnbv\\\n",
       "3l21HUONsH379kh3Iezat2/v8r5t27Ze6z388MNeyyP5DK7FYvE6OYy/EhISQtgbc6mKW0YBoDog\\\n",
       "EAI13J133hny5QRgHp9++mmku1DlfC298Pbbb3u9sPf2nOMzzzyjCy64QL/++muou+fVokWLAt7H\\\n",
       "17qF5966WlNfcXFxYQ9oBEIAZkEgBIBqzP25tlC74447wtp+uK1cuVJt27ZVUVGRzzq//PKL3+05\\\n",
       "HA6NHj3a+T42Nlb33Xef833Z83+vvPKKdu/erXr16slisYR9iYmrrrqqwjoWi0VRUVG6++67fT6n\\\n",
       "CP8RCAGYBYEQAKqxkpISGYah06dPh+0YFYXOK6+80nnR+8EHH/isV1xcrDp16iguLk7NmjVT7969\\\n",
       "lZiY6PXiuX///iooKFB+fr5++9vfemz3tsahu7i4OF1++eXatm2b4uPjfV6U165dO6AL9jFjxjhH\\\n",
       "otyD5ptvvumzL82bN/f7GIHy1f+nnnrK2VeHw6HS0lL9/e9/D1s/AADnHwIhANQASUlJYZuEwm63\\\n",
       "64cffvC67bvvvtPy5cud7++55x6XRdjLtGvXTnFxcTpx4oSKi4u1d+9eLVq0SGfOnPHa7ty5c5WU\\\n",
       "lKTk5GT973//89jetGnTCp/d8zYq9+STT3qt63A4nDOb1qtXr9x2y3PLLbf43LZnzx5ZLBaVlJQE\\\n",
       "3X55pk2b5vLe4XDo1VdfDcuxwAghAPMgEAJADXLy5MmwtNuhQwev5Z07d/Yo++KLL1zel5SUaOvW\\\n",
       "rSHvU6tWrXxu8xWOv/rqK5/7lK19ePTo0aD7lJmZWWGd2NhYZ0iwWq2yWq2KiopS586dfT7X549B\\\n",
       "gwY5RwK5JTT8CIQAzIJACAA1iM1mC0u7vgKWrwDzxhtvOL+OxKRGvi7Aq2Lh9QceeMDvuufezrl5\\\n",
       "82ZFRUXpN7/5TaWOT/ioGgRCAGZBIAQABGz8+PHOrysz6lURX7ecuvchKipKW7duldUa/l9rU6dO\\\n",
       "rdT+8+fPD1FP/FNcXKzx48crOjqa4BIAAiEAs2BhegCoQb7++utId0GSvD5H6E3ZhXKwzz+WN/r4\\\n",
       "5JNP+nxmsDrbuHFjWNsvKipSQkICC59XUiBBj0AIoCZjhBAAapDs7OxId0GS70Xcz2W1WlVSUiK7\\\n",
       "3a6rr77aY3v9+vV1+vRpFRcXq0+fPl7bON8utFu1auX1ucxQMQxD8fHxhEEAgN8IhABQQyQnJ4f1\\\n",
       "9kz3CVliY2N91u3YsWOF7dntdkVFRclisWjRokUei4sfPnxYSUlJiomJ0YIFC2QYhux2uz7//HPt\\\n",
       "2bOn2oaaYNccXL16tXbs2BHi3vyf3NzcKrll1iy4ZRSAWfCbAwCqsZSUFFmtVlksFuXn54f1WNnZ\\\n",
       "2YqNjVX37t0rvXzCNddcE9R+VqtVv/vd79S0aVOX8gsuuMDl4vvDDz8Mum/e/Prrr87ZQE+cOFFu\\\n",
       "3bLlKwKVlZUV1H6SVFpaWmGdWrVqBd0+PBEIAZgFgRAAqrHTp09X6UhZSUmJ1q1bV24df0ahPv30\\\n",
       "01B1SaWlpdq9e7dL2aBBg0LWvsPhUL169ZyzgdapU0dXXHGF17rR0VX76P2+fftksVgUExMji8Wi\\\n",
       "wsJCr/UIJKFHIARgFgRCAEBAypv5s0xKSkrIjucroNrt9pC0n5CQ4FG2YsWKsB7TX+4jpQkJCXrq\\\n",
       "qadcyrhNNDwIhADMgt8iAFCDNG3a1PkM3pVXXlnlx09MTCz32cIyoQwp3gKb5F84O336dIV1fD0T\\\n",
       "WFRUVOG+Ze655x7973//K/e8A/1MoqKivJa/9tprLkGkuj5rWdMRCAGYBctOAEANsmfPHufXS5cu\\\n",
       "9ftCdNu2bWrTpo2ks0GnXr16foUld+F+jtGbDh06eC0vL5gWFha6BMlgQpO3ZwW//vprlxlRCwoK\\\n",
       "XI5jt9uVnp6uI0eOeOxrGIbfAS4xMTGsEwgBAFCGQAgANYjD4XCONPmz9IPD4fAIjXFxcTp16pTz\\\n",
       "vb+h0leQMQxDcXFxKi4u1pYtW9SuXTu/2vOXr5Gy8riPKvoKYt26dfO6f25urtfy3r17VxjoDh8+\\\n",
       "XO5nymhSzcA6hADMgltGAaAGiYqK0jfffKPf/OY3euedd8qtO2bMGL8uVENxy2FRUZEMw/AaBidM\\\n",
       "mCCLxSKr1VoltzcGEiDXr1/vURYdHa3U1NSgj3/06NGg9w3GO++8o9OnTysvL0/vvvtuUAEanrhl\\\n",
       "FIBZEAgBoIbp2bOn5s+fX2G90aNH+91mRTOLBqu0tFRPPPGEpLPBM5ShsF69eh5lmzdv9nmrZWZm\\\n",
       "pst7XxfxlVluw263q379+kHvH4iyGWgffPBBJSUlKSUlRffdd59KS0udt6cieARCAGZBIAQAqGvX\\\n",
       "rsrIyCi3TkxMTMDt3n333R5lgY5g/fLLL17Ly9YO/OSTT3TPPfcoLi5OnTt39tnOoUOHnCOVvi7g\\\n",
       "KzMZTnR0dJUtS7F7924lJSWVW4dnECuHQAjALAiEAABJ/xeYfCktLZXFYtHx48f9bnPEiBEeZYGO\\\n",
       "EDZu3NjnNsMwdNttt+mDDz7wOVtoIMefMmVKQH2TpNq1a8tisVTpkhTNmjXzqx5BpXIIgwDMgEAI\\\n",
       "AHA6d7IZX+rWretyMVzeqFr79u0r1Z+BAwdWav9AbdmyxaPMMAxNmTJF48ePd1mD8cMPP5TFYtHJ\\\n",
       "kyersIdSo0aN/K7LkhQAgIowyygAwGn79u0B72MYhhYvXqyrr77a5/ZzR1ECuZXxo48+Crg/lTF5\\\n",
       "8mRNmjTJeVur++jP008/XaX98Wbv3r2R7oIpMMsoALMgEALAeSovL8/v2TKLi4t14YUXav/+/UEd\\\n",
       "q0GDBuVuD2akKphnFkOhqp4DDEbbtm39fs4xmHUm8X8IhADMgltGAeA8NXjw4ArrPPHEE7JYLIqL\\\n",
       "iws6DEpyLnofSqWlpQHvM3DgwHIXrK/J4uLi9MMPP/hd32azhbE35z8mlQFgFgRCADhP/fvf/y53\\\n",
       "e2FhoSZMmFCpY9StWzcsz6kVFBQEVN9qtaqoqEj/+Mc/VFRUpAsuuMBrvejoaK1du1bx8fGV6t89\\\n",
       "99yjkpISORwOORwO2e12GYbh8vrPf/5TqWO4e+yxxwKqzyyjlUMgBGAWBEIAOE9VFNQqus2zPGlp\\\n",
       "aTIMQ8eOHQu6jfI8//zzAdV/7bXXXEYGd+3a5VHnlVdeUUlJibp16+YyOYy/ykKnYRh6//33FR0d\\\n",
       "Xe7EOtdff702bNgQ8HF8efXVV/0O3ykpKSE7rlkRCAGYBYEQAM5j5T1vlpubG1Sbn332mY4cORJs\\\n",
       "l/zy9ttvSzp7UX7o0CEZhlHubJ5bt271KDMMQ+np6bJarTp+/LjHhDDeFrZ3l5qaqpKSEhmGIbvd\\\n",
       "HvDtqJdccklA9StitVp9Tt5TJiUlhecHQ4BACMAsCIQAcB4rm+Fz+vTpXrcFo3///uVuP3jwoK66\\\n",
       "6irFxsaWewG9YsUKj32nTp0qi8WioqIixcTEyOFwKCMjQ9LZZ+K+++47r8d87733vD5zmJOTI7vd\\\n",
       "rtq1a3tsq2jdwuPHjys3N7fSk8w88cQTldrf3ZIlS1xGJq1Wq8vnWlEYDDToVMdX2UhteS8AgH8I\\\n",
       "hABgAnfccYcsFovat2+vkpISJSUlBdXOG2+84bXc4XA4g0nDhg21dOlSlZSUlNvWFVdc4XGh/9BD\\\n",
       "Dzm3e7uob926tc/2Ap2VNC8vz2t5y5YtZRiG1xAZjNdeey0k7XhD+AkfRggBmAWBEABM5IcfflBs\\\n",
       "bGzAk7aUefTRRz3KUlJSFBUVFfJg4m3Er2nTpuXuY7FY/OpH8+bNPcrefPNNGYahH3/80f9O+ik/\\\n",
       "Pz/kbSK8CIQAzKL6LrYEAIiYdu3aaeHChdqzZ4/Gjh2rrKwsjR492qNeuC+E69ev73xe8f3331dO\\\n",
       "Tk6F+3h7btJqtSo2NtZ5q+G54uPjg5pkJhCJiYmy2+3OBe9R/QUS9AiEAGoyAiEAwMOWLVskSenp\\\n",
       "6Zo3b57XOgkJCWHvx9GjR0Nyse1wOFRYWOh1W7jDYBmr1SrDMJz/RfVGIARgFtwyCgAIiq+AhbPs\\\n",
       "drvX8lCvD+g+wUp5s7HCf9wyCsAsCIQAAITQ/PnzZbFYnOsUensWsmxZjcoyDMNjKQybzSbDMHT0\\\n",
       "6NGQHAMAcH4jEAIAPLz++uuR7kKVqV+/fkjb+81vfuPy3tvspwMGDKj0cSq67bRevXrOEcMGDRo4\\\n",
       "Z4GFfxghBGAWBEIAgIcnn3wy0l2oMkePHpXVatVPP/2kgwcPqmHDhiG/yHdvq0mTJpVqK5BnEG02\\\n",
       "mw4ePCi73R7y21XPZwRCAGZBIAQAeFXejJhffvllFfYk/AzDUMuWLdWwYUMdPHjQWR7MrKA33nij\\\n",
       "13KLxaKrr75aMTExFS4e70txcTGhrooQCAGYBYEQAOCVw+GQxWLxmBxlxowZuu666zzqr1u3ToZh\\\n",
       "yOFwaO/evWrcuHGNv1AOJnz9+9//9rltyZIlXp8prEjZqKC3208Dde4ENDX1FRcXF/aARiAEYBYE\\\n",
       "QgBelZSUaMSIEerQoYOSkpKUmZmpgQMHuoye+PL222+rWbNmio+PV1ZWltauXeuyvbCwUEOGDFHd\\\n",
       "unWVnJysm266SYcPHw7XqdRotWvX9pg0pKqVTY5S9vrjH//oUae4uFhdu3aVdPZCukmTJtq3b58c\\\n",
       "DofXC/qVK1dW9WkEraCgIOB9ypbtCBVfM5YifAiEAMyCQAjAq4KCAm3cuFHPP/+8Nm7cqE8//VQ7\\\n",
       "duxQv379yt1v1qxZGj58uEaPHq2NGzfq4osvVnZ2tnNxcUl6/PHH9fnnn2v27NlaunSpDh486PM2\\\n",
       "O7M7fvy4y7IC0dHVc/nYQEeuevToUa3P51xXXnllwPu0a9cuDD0Jjt1u1/Tp07V161aVlJREujsA\\\n",
       "gGqm+v8mBhARNptNCxYscCmbPHmyunfvrn379vmcFGPChAm67777dPfdd0uSpk6dqi+++EJ///vf\\\n",
       "9cwzzyg3N1fvv/++Pv74Y11zzTWSpA8++EAXXXSRVq9erUsvvTS8J1bDnT59WvHx8ZHuRsgcPnxY\\\n",
       "devWjXQ3yvXtt99GugtavHix899LoGJiYlwmoQlkQhozY2F6AGbBCCEAv+Xm5spisahWrVpetxcX\\\n",
       "F2vDhg3q06ePs8xqtapPnz5atWqVJGnDhg0qKSlxqdOmTRs1adLEWQe+xcXF6eWXX450N0KmTp06\\\n",
       "ke5ChYJ55i/UevfuraioKE2aNCmg5xqtVisBMEjcMgrALAiEAPxSWFioESNGaMCAAUpNTfVa59ix\\\n",
       "Y7Lb7UpPT3cpT09PV05OjiQpJydHsbGxHqHy3DreFBUVKS8vz+VlViNHjlRycnKku+GiMhfEp06d\\\n",
       "8lr+pz/9qdxbZb09mxiuC/OKbpV2F45+OBwOPf7444qKipLFYtGaNWsq3IcwWDmEQQBmQCAEIEma\\\n",
       "Pn26kpOTna/ly5c7t5WUlOjWW2+VYRh65513ItK/cePGyWazOV+NGzeOSD+qi1OnTslqrV7/C7/o\\\n",
       "oouC2s9XuH3ppZecXxcXF7ts8zVpS7gmX/n888/9rltVAYHbq8OrKkcICZcAIql6XU0AiJh+/fpp\\\n",
       "8+bNzlfZjJFlYXDv3r1asGCBz9FBSapXr56ioqI8Zgw9fPiwMjIyJEkZGRkqLi7WyZMnfdbxZuTI\\\n",
       "kcrNzXW+9u/fH+SZnj/sdrvsdrt++9vfRrorkqTt27eHLZC5Xyi3adPGr3qh5M+ELFV9Qf/000/7\\\n",
       "3PbLL79UYU/OP1UVCAmBACKNQAhAkpSSkqILL7zQ+UpISHCGwZ07d+rrr7+ucPKP2NhYdenSRQsX\\\n",
       "LnSWORwOLVy4UD169JAkdenSRTExMS51duzYoX379jnreBMXF6fU1FSXF84+I/bFF1/IMAwVFRVF\\\n",
       "ujshnTX03Nsd77vvPpdt7n9QOFe4LrDLm8ynqKgoIhf2b7/9ttq3b6+UlBRFR0erbt26evjhh9Wg\\\n",
       "QQPTj6JXVlUEwrS0tBD3GgACRyAE4FVJSYluvvlmrV+/XtOnT5fdbldOTo5ycnJcbt/r3bu3Jk+e\\\n",
       "7Hw/fPhw/e1vf9M//vEPbdu2TQ899JDy8/Ods47abDYNHjxYw4cP1+LFi7Vhwwbdfffd6tGjB7fA\\\n",
       "eVEWhMeOHVth3djYWD3++ONV0KvyeRuZSklJcV44u49q/fDDD17biYqKUnFxsWbMmKH33nvPZVun\\\n",
       "Tp18Hr+wsNBrucViUVRUVAW9983hcLj8rJdp1KhRlc/8mpmZqZycHL388sv64YcfdPr0adntdh0/\\\n",
       "flzvvPNOuc/jInzy8vJcbm3v1atXufWPHTsmiWc9AUSWxeD/QgC82LNnj5o3b+512+LFi3XVVVdJ\\\n",
       "kpo1a6a77rpLY8aMcW6fPHmyxo8fr5ycHHXq1ElvvvmmsrKynNsLCwv1xBNPaMaMGSoqKlJ2dram\\\n",
       "TJlS7i2j7vLy8jRhwgS//jI/evRov9utbtzPLysrS6tXr/ZZ3263V4u1/c791eKrT/Xq1ZPVanVZ\\\n",
       "ozLYY7g7fvy40tPTFRsbq0OHDnkdUY6Li/N4NtFfNptNp06dCmjGT3cNGzZ0hucff/xRrVu3rnCf\\\n",
       "mJgYjz4HOjp1Pvza9+cPJGPGjFFubm7AdxPYbDbl5eVpzpw5SkpK8muf/Px89e/f3+s2X5932fet\\\n",
       "a9euWrdunfP9+fD9AVCzRP6qAUC11KxZM78uTPbs2eNRNnToUA0dOtTnPvHx8Xr77bf19ttvV6aL\\\n",
       "prRmzRqdPHnS59IfvkbHQuniiy/WtGnTlJWV5VegOnr0qNfystGRcKhTp06Fz/wVFRWpe/fuWrdu\\\n",
       "XcDt5+bmBts1SWdvFTx3JLVVq1Z666239Mgjj/jcJzY21uttwY0bN+aZ2jAIdh3CcwOor5Hsc+sH\\\n",
       "8/MHAKHELaMAUMPUrl3b57bBgweH9diGYWjz5s3q1KmTioqKVL9+/Qr3qc4Lz69duzYix/U2Klre\\\n",
       "H1Ek+XxGdMeOHSHpE1wF8wxhamqqy+RXS5cu9fs4574fP3582M4LANwRCAHgPDJnzpywtX3ZZZd5\\\n",
       "lPnzrFpMTEw4uhMyiYmJke5CpSQkJES6C+elcE4qU94fdSTpqaeeqkzXASAg3DIKANVYoM8TVcUt\\\n",
       "o+eyWCx+9bE6PxeVn58f6S44Bfs5VefPt6YK9pZRfxw/ftxnG3wvAVQ1RggBAAAAwKQYIQQAAHAT\\\n",
       "zhFCbxgZBBApBEIAAAA3VR0IASBSCIQAAABuCIQAzIJACAAA4IZACMAsCIQAAABuCIQAzIJZRgEA\\\n",
       "AADApBghBAAAcMMIIQCzIBACAAC4IRACMAsCIQAAgBsCIQCzIBACAAC4IRACMAsCIQAAgBcEPQBm\\\n",
       "wCyjAAAAAGBSjBACAAC44ZZRAGZBIAQAAHBDIARgFgRCAAAANwRCAGZBIAQAAHBDIARgFgRCAAAA\\\n",
       "NwRCAGZBIAQAAHBDIARgFiw7AQAAAAAmxQghAACAG0YIAZgFgRAAAMANgRCAWRAIAQAA3BAIAZgF\\\n",
       "gRAAAMANgRCAWRAIAQAA3BAIAZgFs4wCAAAAgEkxQggAAOCGEUIAZkEgBAAAcEMgBGAWBEIAAAA3\\\n",
       "BEIAZkEgBAAAcEMgBGAWBEIAAAA3BEIAZsEsowAAAABgUowQAgAAuGGEEIBZEAgBAAC8IOgBMAMC\\\n",
       "IQAAgBtGCAGYBYEQAADADYEQgFkQCAEAANwQCAGYBYEQAADADYEQgFmw7AQAAAAAmBQjhAAAAG4Y\\\n",
       "IQRgFgRCAAAANwRCAGZBIAQAAHBDIARgFgRCAAAANwRCAGZBIAQAAHBDIARgFswyCgAAAAAmxQgh\\\n",
       "AACAm3COEPqqbxhGQO0AQCgwQggAAOCmLBD6+wqFRo0ahaQdAAgEI4QAAABuwjlC6D4SWLb/gQMH\\\n",
       "AmoHAEKBQAjgvDd27NhIdwFADRNMIMzLy5PNZnOWd+rUSUuXLg1L/wAgVAiEAAAAboIdIczLy3N+\\\n",
       "vWzZsgr3nTlzpvNrniEEEAkEQgAAgBBJTU11ft2pU6cK6w8YMCCMvQGAihEIAQAA3AQzQpiamqrc\\\n",
       "3NyAjlGG0UEAkcIsowD88uCDD8pisWjSpEkV1n377bfVrFkzxcfHKysrS2vXrnXZXlhYqCFDhqhu\\\n",
       "3bpKTk7WTTfdpMOHD4ep5wAQuHDOMrplyxbCIIBqg0AIoEKfffaZVq9erczMzArrzpo1S8OHD9fo\\\n",
       "0aO1ceNGXXzxxcrOztaRI0ecdR5//HF9/vnnmj17tpYuXaqDBw/qxhtvDOcpAEBAwhkIO3To4PVY\\\n",
       "7dq1C+UpAIBfCIQAynXgwAE98sgjmj59umJiYiqsP2HCBN133326++671bZtW02dOlWJiYn6+9//\\\n",
       "LknKzc3V+++/rwkTJuiaa65Rly5d9MEHH2jlypVavXp1uE8HAPxWlWsQStLWrVtD1hYA+ItACMAn\\\n",
       "h8OhO++8U0899ZRff7kuLi7Whg0b1KdPH2eZ1WpVnz59tGrVKknShg0bVFJS4lKnTZs2atKkibMO\\\n",
       "AERaOEcIDcPw+QKAqsakMgB8euWVVxQdHa1HH33Ur/rHjh2T3W5Xenq6S3l6erq2b98uScrJyVFs\\\n",
       "bKxq1arlUScnJ8dn20VFRSoqKnK+P3dqdwAAAASHEUIAkqTp06crOTnZ+Vq6dKneeOMNTZs2LaS3\\\n",
       "RAVr3Lhxstlszlfjxo0j3SUA57FwjhACQHVCIAQgSerXr582b97sfK1cuVJHjhxRkyZNFB0drejo\\\n",
       "aO3du1dPPPGEmjVr5rWNevXqKSoqymPG0MOHDysjI0OSlJGRoeLiYp08edJnHW9Gjhyp3Nxc52v/\\\n",
       "/v2VOl8AKA+BEIBZcMsoAElSSkqKUlJSnO/vv/9+XX/99S51srOzdeedd+ruu+/22kZsbKy6dOmi\\\n",
       "hQsXqn///pLOPoe4cOFCDR06VJLUpUsXxcTEaOHChbrpppskSTt27NC+ffvUo0cPn/2Li4tTXFxc\\\n",
       "ZU4RAPwWzDqEAFATEQgBeFW3bl3VrVvXpSwmJkYZGRlq3bq1s6x37976/e9/7wx8w4cP16BBg9S1\\\n",
       "a1d1795dkyZNUn5+vjNE2mw2DR48WMOHD1edOnWUmpqqRx55RD169NCll15adScIAOUgEAIwCwIh\\\n",
       "gErZtWuXjh075nx/22236ejRoxo1apRycnLUqVMnzZ8/32WimYkTJ8pqteqmm25SUVGRsrOzNWXK\\\n",
       "lEh0HwC8IhACMAuLwRzHAGqgvLw8TZgwgQsxAF6NGTNGubm5Sk1NDWg/m82mvLw8HTx40O998/Ly\\\n",
       "lJmZqdTUVOXm5gbTXQCIGCaVAQAAAACT4pZRAAAAN9wyCsAsCIQAAABuCIQAzIJACAAA4IZACMAs\\\n",
       "CIQAAABuCIQAzIJACAAA4IZACMAsmGUUAAAAAEyKEUIAAAA3jBACMAsCIQAAgBsCIQCzIBACAAC4\\\n",
       "IRACMAsCIQAAgBsCIQCzIBACAAC4IRACMAtmGQUAAAAAk2KEEECNZBhGpLsAoJqrzP8nTp065ffI\\\n",
       "36lTp4I+DgBEGoEQQI106tQpjR07NtLdAFCNnTp1SjabLaB9WrVqpfXr16tx48YBH69Vq1YB7wMA\\\n",
       "kWYx+DM7gBrI4XDo4MGDSklJMfXzO3l5eWrcuLH279+v1NTUSHcnYvgczuJzOMswDJ06dUqZmZmy\\\n",
       "WgN/OqZbt2768ccfA9qnVatWWrduXcDHAoBIIxACQA2Wl5cnm82m3NxcUwcAPoez+BwAAIFiUhkA\\\n",
       "AAAAMCkCIQAAAACYFIEQAGqwuLg4jR49WnFxcZHuSkTxOZzF5wAACBTPEAIAAACASTFCCAAAAAAm\\\n",
       "RSAEAAAAAJMiEAIAAACASREIAaAaKSkp0YgRI9ShQwclJSUpMzNTAwcO1MGDByvc9+2331azZs0U\\\n",
       "Hx+vrKwsrV271mV7YWGhhgwZorp16yo5OVk33XSTDh8+HK5TqZSKzsXd7Nmz1aZNG8XHx6tDhw6a\\\n",
       "N2+ey3bDMDRq1Cg1aNBACQkJ6tOnj3bu3BnOU6i0cePGqVu3bkpJSVH9+vXVv39/7dixo8L9zsfP\\\n",
       "AgAQPgRCAKhGCgoKtHHjRj3//PPauHGjPv30U+3YsUP9+vUrd79Zs2Zp+PDhGj16tDZu3KiLL75Y\\\n",
       "2dnZOnLkiLPO448/rs8//1yzZ8/W0qVLdfDgQd14443hPqWA+XMu51q5cqUGDBigwYMHa9OmTerf\\\n",
       "v7/69++vLVu2OOu8+uqrevPNNzV16lStWbNGSUlJys7OVmFhYVWdVsCWLl2qIUOGaPXq1VqwYIFK\\\n",
       "Skp07bXXKj8/3+c+5+tnAQAIIwMAUK2tXbvWkGTs3bvXZ53u3bsbQ4YMcb632+1GZmamMW7cOMMw\\\n",
       "DOPkyZNGTEyMMXv2bGedbdu2GZKMVatWha/zQajoXNzdeuutRt++fV3KsrKyjAceeMAwDMNwOBxG\\\n",
       "RkaGMX78eOf2kydPGnFxccaMGTPCcAbhceTIEUOSsXTpUp91zPJZAABChxFCAKjmcnNzZbFYVKtW\\\n",
       "La/bi4uLtWHDBvXp08dZZrVa1adPH61atUqStGHDBpWUlLjUadOmjZo0aeKsUx34cy7uVq1a5VJf\\\n",
       "krKzs531d+/erZycHJc6NptNWVlZ1ercK5KbmytJqlOnjs86ZvksAAChQyAEgGqssLBQI0aM0IAB\\\n",
       "A5Samuq1zrFjx2S325Wenu5Snp6erpycHElSTk6OYmNjPULluXWqA3/OxV1OTk6F515W5m+b1Y3D\\\n",
       "4dCwYcN0+eWXq3379j7rmeGzAACEFoEQACJo+vTpSk5Odr6WL1/u3FZSUqJbb71VhmHonXfeiWAv\\\n",
       "EWlDhgzRli1bNHPmzEh3BQBwnomOdAcAwMz69eunrKws5/uGDRtK+r8wuHfvXi1atMjn6KAk1atX\\\n",
       "T1FRUR4zhh4+fFgZGRmSpIyMDBUXF+vkyZMuo4Tn1qkO/DkXdxkZGRWee1lZgwYNXOp06tQphL0P\\\n",
       "j6FDh+q///2vli1bpkaNGpVb93z/LAAAoccIIQBEUEpKii688ELnKyEhwRkGd+7cqa+//lp169Yt\\\n",
       "t43Y2Fh16dJFCxcudJY5HA4tXLhQPXr0kCR16dJFMTExLnV27Nihffv2OetUB/6ci7sePXq41Jek\\\n",
       "BQsWOOs3b95cGRkZLnXy8vK0Zs2aanXu7gzD0NChQ/XZZ59p0aJFat68eYX7nK+fBQAgjCI9qw0A\\\n",
       "4P8UFxcb/fr1Mxo1amRs3rzZOHTokPNVVFTkrHfNNdcYb731lvP9zJkzjbi4OGPatGnG1q1bjfvv\\\n",
       "v9+oVauWkZOT46zz4IMPGk2aNDEWLVpkrF+/3ujRo4fRo0ePKj0/f1R0LnfeeafxzDPPOOt/8803\\\n",
       "RnR0tPHaa68Z27ZtM0aPHm3ExMQY33//vbPOX/7yF6NWrVrG3Llzje+++8644YYbjObNmxtnzpyp\\\n",
       "8vPz10MPPWTYbDZjyZIlLj8HBQUFzjpm+SwAAOFDIASAamT37t2GJK+vxYsXO+s1bdrUGD16tMu+\\\n",
       "b731ltGkSRMjNjbW6N69u7F69WqX7WfOnDEefvhho3bt2kZiYqLx+9//3jh06FAVnFXgyjuXXr16\\\n",
       "GYMGDXKp/8knnxitWrUyYmNjjXbt2hlffPGFy3aHw2E8//zzRnp6uhEXF2f07t3b2LFjR1WcStB8\\\n",
       "/Rx88MEHzjpm+SwAAOFjMQzDiMzYJAAAAAAgkniGEAAAAABMikAIAAAAACZFIAQAAAAAkyIQAgAA\\\n",
       "AIBJEQgBAAAAwKQIhAAAAABgUgRCAAAAADApAiEAAAAAmBSBEABQI7z//vu69tprw36c+fPnq1On\\\n",
       "TnI4HGE/FgAAkUYgBABUe4WFhXr++ec1evTosB/ruuuuU0xMjKZPnx72YwEAEGkEQgBAtfevf/1L\\\n",
       "qampuvzyy6vkeHfddZfefPPNKjkWAACRRCAEAFSZo0ePKiMjQy+//LKzbOXKlYqNjdXChQt97jdz\\\n",
       "5kxdf/31LmVXXXWVhg0b5lLWv39/3XXXXc73zZo100svvaSBAwcqOTlZTZs21X/+8x8dPXpUN9xw\\\n",
       "g5KTk9WxY0etX7/epZ3rr79e69ev165du4I/WQAAagACIQCgyqSlpenvf/+7xowZo/Xr1+vUqVO6\\\n",
       "8847NXToUPXu3dvnfitWrFDXrl2DOubEiRN1+eWXa9OmTerbt6/uvPNODRw4UHfccYc2btyoFi1a\\\n",
       "aODAgTIMw7lPkyZNlJ6eruXLlwd1TAAAagoCIQCgSv32t7/Vfffdp9tvv10PPvigkpKSNG7cOJ/1\\\n",
       "T548qdzcXGVmZgZ9vAceeEAtW7bUqFGjlJeXp27duumWW25Rq1atNGLECG3btk2HDx922S8zM1N7\\\n",
       "9+4N6pgAANQUBEIAQJV77bXXVFpaqtmzZ2v69OmKi4vzWffMmTOSpPj4+KCO1bFjR+fX6enpkqQO\\\n",
       "HTp4lB05csRlv4SEBBUUFAR1TAAAagoCIQCgyu3atUsHDx6Uw+HQnj17yq1bt25dWSwWnThxosJ2\\\n",
       "7Xa7R1lMTIzza4vF4rPMfZmJ48ePKy0trcJjAgBQkxEIAQBVqri4WHfccYduu+02vfjii7r33ns9\\\n",
       "RufOFRsbq7Zt22rr1q0e29xv8/z5559D0sfCwkLt2rVLnTt3Dkl7AABUVwRCAECV+tOf/qTc3Fy9\\\n",
       "+eabGjFihFq1aqV77rmn3H2ys7O1YsUKj/K5c+fq008/1a5du/TnP/9ZW7du1d69e3XgwIFK9XH1\\\n",
       "6tWKi4tTjx49KtUOAADVHYEQAFBllixZokmTJumjjz5SamqqrFarPvroIy1fvlzvvPOOz/0GDx6s\\\n",
       "efPmKTc316W8b9++evXVV9W2bVstW7ZMU6ZM0dq1a/XRRx9Vqp8zZszQ7bffrsTExEq1AwBAdWcx\\\n",
       "zp1nGwCAauqWW27RJZdcopEjR0o6uw5hp06dNGnSpJAe59ixY2rdurXWr1+v5s2bh7RtAACqG0YI\\\n",
       "AQA1wvjx45WcnBz24+zZs0dTpkwhDAIATIERQgBAjRSuEUIAAMyEQAgAAAAAJsUtowAAAABgUgRC\\\n",
       "AAAAADApAiEAAAAAmBSBEAAAAABMikAIAAAAACZFIAQAAAAAkyIQAgAAAIBJEQgBAAAAwKQIhAAA\\\n",
       "AABgUgRCAAAAADApAiEAAAAAmBSBEAAAAABMikAIAAAAACZFIAQAAAAAk/r/THzBYQbHClwAAAAA\\\n",
       "SUVORK5CYII=\\\n",
       "\"\n",
       "  frames[43] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAadFJREFUeJzt3Xl4VNXh//HPnSyTPUASEsIuoOw7IopChRq/RZG6UQoCrtWC\\\n",
       "iFgRrMqiFbGKSFH5tVqtFgSxFepGRUQE2SS4gCAiskPYs5CQde7vD55MM1syM5nJwrxfz3MfM+ee\\\n",
       "e+6ZSTD3k3PvOYZpmqYAAAAAACHHUtsdAAAAAADUDgIhAAAAAIQoAiEAAAAAhCgCIQAAAACEKAIh\\\n",
       "AAAAAIQoAiEAAAAAhCgCIQAAAACEKAIhAAAAAIQoAiEAAAAAhCgCIQAAAACEKAIhAAAAAIQoAiEA\\\n",
       "AAAAhCgCIQAAAACEKAIhAAAAAIQoAiEAwC+ff/65DMPQ559/XttdQYBt3rxZkZGR2r9/f42f+9Sp\\\n",
       "U4qNjdVHH31U4+cGgFBEIAQAVOrll1/WG2+8Udvd8MuiRYs0d+7c2u6GJMlms+nZZ59V69atFRUV\\\n",
       "pa5du+rtt9/2+vjs7Gzdc889SklJUWxsrH7xi19o69atLvWWLFmiUaNGqV27djIMQwMHDvS5r3/8\\\n",
       "4x81YsQItWzZ0udjqyspKUl33XWXHn/88Ro/NwCEIsM0TbO2OwEAqLs6d+6s5ORkl5FAm82m4uJi\\\n",
       "RUZGymKpm39fvO6667R9+3bt27evtruiqVOn6plnntHdd9+tPn36aPny5frwww/19ttv6ze/+U2l\\\n",
       "x9psNl155ZX69ttv9fDDDys5OVkvv/yyDh48qMzMTLVr185ed+DAgcrMzFSfPn30zTffqGvXrj6N\\\n",
       "4n7zzTfq0aOH1q9fr379+vn7dqtl586d6tixo1atWqWrr766VvoAAKGCQAgAXsjPz1dsbGxtd6NW\\\n",
       "eAqE9UFdCYSHDx9W69atdc8992j+/PmSJNM0NWDAAO3du1f79u1TWFiYx+PfeecdDR8+XEuXLtXN\\\n",
       "N98sSTpx4oQuvvhi/d///Z8WLVpkr3vw4EE1bdpUFovFr+/dAw88oGXLlmnfvn0yDMO/NxwAXbp0\\\n",
       "UY8ePfTmm2/WWh8AIBTUzT/pAkAQHT58WHfeeafS09NltVrVunVr3XfffSouLpYkvfHGGzIMQ2vW\\\n",
       "rNHvf/97NW7cWM2aNbMf//LLL6tTp06yWq1KT0/XuHHjlJ2d7XCO3bt366abblJaWpqioqLUrFkz\\\n",
       "/eY3v1FOTo69zsqVK9W/f381aNBAcXFxuuSSS/Too49W2X9vjisqKtK0adPUtm1bWa1WNW/eXJMn\\\n",
       "T1ZRUZFLe//85z916aWXKiYmRg0bNtRVV12lTz75RJLUqlUrff/991qzZo0Mw3C4BdHTM4RLly5V\\\n",
       "r169FB0dreTkZI0aNUqHDx92qDN27FjFxcXp8OHDGjZsmOLi4pSSkqI//OEPKisrq/IzWL58uYYM\\\n",
       "GWL/HrZp00ZPPvmkw7EDBw7Uhx9+qP3799v73qpVK49tjh071l7PeZs+fXqVfaqqvyUlJfr9739v\\\n",
       "LzMMQ/fdd58OHTqkDRs2VHr8u+++q9TUVN144432spSUFN16661avny5w/e1efPm1RqxXbZsma6+\\\n",
       "+mqXMOjpc2jVqpXGjh1rf13+72fdunWaMGGCUlJS1KBBA/3ud79TcXGxsrOzNXr0aDVs2FANGzbU\\\n",
       "5MmT5e5v07/85S/1/vvvu90HAAic8NruAADUpCNHjujSSy+1P4/Vvn17HT58WO+++64KCgoUGRlp\\\n",
       "r/v73/9eKSkpeuKJJ5Sfny9Jmj59umbMmKHBgwfrvvvu065du/TKK6/oq6++0pdffqmIiAgVFxcr\\\n",
       "IyNDRUVFuv/++5WWlqbDhw/rgw8+UHZ2thITE/X999/ruuuuU9euXTVz5kxZrVb99NNP+vLLLyvt\\\n",
       "vzfH2Ww2DR06VOvWrdM999yjDh06aNu2bXrhhRf0448/atmyZfa6M2bM0PTp03X55Zdr5syZioyM\\\n",
       "1KZNm/TZZ5/pmmuu0dy5c3X//fcrLi5Of/zjHyVJqampHvv3xhtv6Pbbb1efPn00a9YsHTt2TC++\\\n",
       "+KK+/PJLff3112rQoIG9bllZmTIyMtS3b18999xz+vTTT/X888+rTZs2uu+++yr9HN544w3FxcVp\\\n",
       "0qRJiouL02effaYnnnhCubm5+vOf/yzp/HNwOTk5OnTokF544QVJUlxcnMc2f/e732nw4MEOZStW\\\n",
       "rNDChQvVuHFje9nJkycr7Vu5+Ph4Wa1WSdLXX3+t2NhYdejQwaHOpZdeat/fv39/j219/fXX6tmz\\\n",
       "p0vQu/TSS/XXv/5VP/74o7p06eJVvypz+PBhHThwQD179qx2W+U/+zNmzNDGjRv117/+VQ0aNND6\\\n",
       "9evVokULPf300/roo4/05z//WZ07d9bo0aMdju/Vq5deeOEFff/99+rcuXO1+wMA8MAEgBAyevRo\\\n",
       "02KxmF999ZXLPpvNZpqmab7++uumJLN///5maWmpff/x48fNyMhI85prrjHLysrs5fPnzzclmX//\\\n",
       "+99N0zTNr7/+2pRkLl261GM/XnjhBVOSeeLECZ/6781xb731lmmxWMy1a9c6lC9YsMCUZH755Zem\\\n",
       "aZrm7t27TYvFYv761792eD+m+b/PwjRNs1OnTuaAAQNczrN69WpTkrl69WrTNE2zuLjYbNy4sdm5\\\n",
       "c2fz3Llz9noffPCBKcl84okn7GVjxowxJZkzZ850aLNHjx5mr169Kv8QTNMsKChwKfvd735nxsTE\\\n",
       "mIWFhfayIUOGmC1btqyyPXd2795tJiYmmr/85S8dfg4kebW9/vrrDv246KKLXM6Rn59vSjKnTJlS\\\n",
       "aV9iY2PNO+64w6X8ww8/NCWZK1ascHucp++dJ59++qkpyXz//fdd9kkyp02b5lLesmVLc8yYMfbX\\\n",
       "5f9+MjIyHH6O+vXrZxqGYd577732stLSUrNZs2Zu+7h+/XpTkrlkyRKv+w8A8B23jAIIGTabTcuW\\\n",
       "LdP111+v3r17u+x3vkXu7rvvdniu69NPP1VxcbEmTpzoMFJz9913KyEhQR9++KEkKTExUZL03//+\\\n",
       "VwUFBW77Uj5Stnz5ctlsNq/fgzfHLV26VB06dFD79u118uRJ+1Y+Ocfq1aslnb810Gaz6YknnnAZ\\\n",
       "efLn2bEtW7bo+PHj+v3vf6+oqCh7+ZAhQ9S+fXv751PRvffe6/D6yiuv1M8//1zluaKjo+1f5+Xl\\\n",
       "6eTJk7ryyitVUFCgH374wee+O8vPz9evf/1rNWzYUG+//bbDz8HKlSu92jIyMuzHnDt3zj5aWFH5\\\n",
       "53Tu3LlK+1Pd47116tQpSVLDhg2r3dadd97p8HPUt29fmaapO++8014WFham3r17u/2el/fB2xFZ\\\n",
       "AIB/uGUUQMg4ceKEcnNzvb79rHXr1g6vy9dku+SSSxzKIyMjddFFF9n3t27dWpMmTdKcOXO0cOFC\\\n",
       "XXnllRo6dKhGjRplD4vDhw/Xq6++qrvuuktTpkzRoEGDdOONN+rmm2+u9Pkvb47bvXu3du7cqZSU\\\n",
       "FLdtHD9+XJK0Z88eWSwWdezY0avPoyqePh9Jat++vdatW+dQFhUV5dLHhg0b6syZM1We6/vvv9dj\\\n",
       "jz2mzz77TLm5uQ77Kj6n6a+7775be/bs0fr165WUlOSwz/m2Um9ER0e7fX6zsLDQvj+Yx/vKDMBz\\\n",
       "ey1atHB4Xf6z37x5c5dyd9/z8j7U5sQ2ABAKCIQA4EF1LrKff/55jR07VsuXL9cnn3yiCRMmaNas\\\n",
       "Wdq4caOaNWum6OhoffHFF1q9erU+/PBDrVixQkuWLNHVV1+tTz75xOOMk94cZ7PZ1KVLF82ZM8dt\\\n",
       "G84X5LWlslk1K5Odna0BAwYoISFBM2fOVJs2bRQVFaWtW7fqkUce8WnE1Z0XX3xRb7/9tv75z3+q\\\n",
       "e/fuLvuzsrK8aicxMdH+M9SkSROtXr1apmk6BJyjR49KktLT0yttq0mTJva6FXl7vLfKw683obyc\\\n",
       "p/Do6fvrrtxdG+V9SE5O9rovAADfccsogJCRkpKihIQEbd++3a/jyxfp3rVrl0N5cXGx9u7d67KI\\\n",
       "d5cuXfTYY4/piy++0Nq1a3X48GEtWLDAvt9isWjQoEGaM2eOduzYoT/96U/67LPP7Ld0elLVcW3a\\\n",
       "tNHp06c1aNAgDR482GUrH8Fr06aNbDabduzYUen5vB2h8fT5lJcFapHzzz//XKdOndIbb7yhBx54\\\n",
       "QNddd50GDx7s9jZHX0eX1q5dqz/84Q+aOHGiRo4c6bZOkyZNvNqWLFliP6Z79+4qKCjQzp07Hdra\\\n",
       "tGmTfX9lunfvrq1bt7qE3U2bNikmJkYXX3yxT+/Tk/bt20uS9u7d63Z/Xl6eS1n5iHOglffBeSIe\\\n",
       "AEBgEQgBhAyLxaJhw4bp/fff15YtW1z2V3Wb3ODBgxUZGal58+Y51H3ttdeUk5OjIUOGSJJyc3NV\\\n",
       "WlrqcGyXLl1ksVjst/2dPn3apf3yUODu1sBy3hx366236vDhw/rb3/7mUvfcuXP2GVOHDRsmi8Wi\\\n",
       "mTNnugSNiu8vNjbWZVkNd3r37q3GjRtrwYIFDu/h448/1s6dO+2fT3WVjzBV7GNxcbFefvlll7qx\\\n",
       "sbFe30J69OhR3Xrrrerfv799plJ3/HmG8IYbblBERIRDH03T1IIFC9S0aVNdfvnlDv344YcfVFJS\\\n",
       "Yi+7+eabdezYMf373/+2l508eVJLly7V9ddf7/b5Qn80bdpUzZs3d/vvQ5LLEiMff/yxCgsLg7I0\\\n",
       "RGZmphITE9WpU6eAtw0A+B9uGQUQUp5++ml98sknGjBggH1JhqNHj2rp0qVat26dw7IIzlJSUjR1\\\n",
       "6lTNmDFD1157rYYOHapdu3bp5ZdfVp8+fTRq1ChJ0meffabx48frlltu0cUXX6zS0lK99dZbCgsL\\\n",
       "00033SRJmjlzpr744gsNGTJELVu21PHjx/Xyyy+rWbNmlS4/4M1xt912m9555x3de++9Wr16ta64\\\n",
       "4gqVlZXphx9+0DvvvKP//ve/6t27t9q2bas//vGPevLJJ3XllVfqxhtvlNVq1VdffaX09HTNmjVL\\\n",
       "0vnp/1955RU99dRTatu2rRo3bmyfoKaiiIgIzZ49W7fffrsGDBigESNG2JedaNWqlR588EF/v20O\\\n",
       "Lr/8cjVs2FBjxozRhAkTZBiG3nrrLbehpFevXlqyZIkmTZqkPn36KC4uTtdff73bdidMmKATJ05o\\\n",
       "8uTJWrx4scO+rl27qmvXrpL8e4awWbNmmjhxov785z+rpKREffr00bJly7R27VotXLjQ4TbKqVOn\\\n",
       "6h//+If27t1rXzfx5ptv1mWXXabbb79dO3bsUHJysl5++WWVlZVpxowZDuf64osv9MUXX0g6/9xs\\\n",
       "fn6+nnrqKUnSVVddpauuuqrSvt5www167733XG5vlaSdO3fqV7/6lYYOHaojR47oxRdfVGJiotav\\\n",
       "X6+3335bI0aM8Pmz8WTlypW6/vrreYYQAIKtNqY2BYDatH//fnP06NFmSkqKabVazYsuusgcN26c\\\n",
       "WVRUZJrm/6bNd7c0hWmeX2aiffv2ZkREhJmammred9995pkzZ+z7f/75Z/OOO+4w27RpY0ZFRZmN\\\n",
       "GjUyf/GLX5iffvqpvc6qVavMG264wUxPTzcjIyPN9PR0c8SIEeaPP/5Yad+9Pa64uNicPXu22alT\\\n",
       "J9NqtZoNGzY0e/XqZc6YMcPMyclxqPv3v//d7NGjh73egAEDzJUrV9r3Z2VlmUOGDDHj4+NNSfYl\\\n",
       "ApyXnSi3ZMkSe3uNGjUyR44caR46dMihzpgxY8zY2FiX9zdt2jTTm19NX375pXnZZZeZ0dHRZnp6\\\n",
       "ujl58mTzv//9r0t/zp49a/72t781GzRoYEqqdAmKAQMGeFxCwt1yC74qKyszn376abNly5ZmZGSk\\\n",
       "2alTJ/Of//ynS73yJTn27t3rUH769GnzzjvvNJOSksyYmBhzwIABbn9Gyz9Df9/H1q1bTUkuy5ZI\\\n",
       "MidNmmTecsstZnR0tNmkSRNz/vz55oIFC8yYmBjzrrvuMk3T87+f8n45L5ni7mdh586dpiSHfzMA\\\n",
       "gOAwTDMI93kAAIB6a9CgQUpPT9dbb71lLzMMQ9OmTdP06dODfv6JEyfqiy++UGZmJiOEABBkPEMI\\\n",
       "AAAcPP3001qyZIl9KZGadOrUKb366qt66qmnCIMAUAN4hhAAADjo27eviouLa+XcSUlJOnv2bK2c\\\n",
       "GwBCESOEAAAAABCiGCEEAABVYsoBALgwMUIIAAAAACGKQAgAAAAAIYpbRgHUSzabTUeOHFF8fDwz\\\n",
       "EQJwYJqm8vLylJ6eLovF97999+rVS7t37/bpmHbt2ikzM9PncwFAbWMdQgD10qFDh/Tqq6/WdjcA\\\n",
       "1FEzZszQwYMH1axZM5+O69Wrl7Zu3erXOXv27EkoBFDvMEIIoF6Kj4+XJEYHAXhU/v8JX/g6Mujv\\\n",
       "se7+31X+N/pRo0Zp4cKFbo/j7/gAAo1ACKBeIggCqEp1/z/h7fGBDmnvvfdeQNsDgMoQCAEAAJwY\\\n",
       "huFToPQ1FFas73ye/Px8t/0p/y+jhAACiVlGAQAAnJQHQm83ScrLy1NCQoJ9u/LKKwPeL39ugwWA\\\n",
       "yjBCCAAA4MTXEcJyeXl59q/XrVsXkL706tXL/nVubm5A2gSAcgRCAAAAJ/4GwoojeN26dat2P0aN\\\n",
       "GmWf9ZTRQQDBQCAEAABw4k8gjI+PD+gIXsXZRg3DYHQQQFDwDCEAAEAd47z0hM1mq8XeALiQEQgB\\\n",
       "AACc+DOpjC+Sk5Ndji1/7W4dwvJ91113XbXfGwBUxC2jAAAATvwNet46deqUx32eFqWXpA8//DAY\\\n",
       "3QEQwgiEAAAAToIdCFlLEEBdQSAEAABwEuxACAB1BYEQAADACYEQQKhgUhkAAAAACFGMEAIAADhh\\\n",
       "hBBAqGCEEIDXnnnmGRmGoYkTJ1Zab+nSpWrfvr2ioqLUpUsXffTRRw77TdPUE088oSZNmig6OlqD\\\n",
       "Bw/W7t27g9hzAPBNsJedAIC6gkAIwCtfffWV/t//+3/q2rVrpfXWr1+vESNG6M4779TXX3+tYcOG\\\n",
       "adiwYdq+fbu9zrPPPqt58+ZpwYIF2rRpk2JjY5WRkaHCwsJgvw0A8AqBEECoIBACqNLZs2c1cuRI\\\n",
       "/e1vf1PDhg0rrfviiy/q2muv1cMPP6wOHTroySefVM+ePTV//nxJ50cH586dq8cee0w33HCDunbt\\\n",
       "qjfffFNHjhzRsmXLauDdAEDVCIQAQgWBEECVxo0bpyFDhmjw4MFV1t2wYYNLvYyMDG3YsEGStHfv\\\n",
       "XmVlZTnUSUxMVN++fe113CkqKlJubq7DBgDBQiAEECoIhAAqtXjxYm3dulWzZs3yqn5WVpZSU1Md\\\n",
       "ylJTU5WVlWXfX17mqY47s2bNUmJion1r3ry5L28DAAAAbhAIAXh08OBBPfDAA1q4cKGioqJqtS9T\\\n",
       "p05VTk6OfTt48GCt9gfAhY0RQgChgmUnAHiUmZmp48ePq2fPnvaysrIyffHFF5o/f76KiooUFhbm\\\n",
       "cExaWpqOHTvmUHbs2DGlpaXZ95eXNWnSxKFO9+7dPfbFarXKarVW9y0BgFcIegBCBSOEADwaNGiQ\\\n",
       "tm3bpm+++ca+9e7dWyNHjtQ333zjEgYlqV+/flq1apVD2cqVK9WvXz9JUuvWrZWWluZQJzc3V5s2\\\n",
       "bbLXAYC6gNFBAKGAEUIAHsXHx6tz584OZbGxsUpKSrKXjx49Wk2bNrU/Y/jAAw9owIABev755zVk\\\n",
       "yBAtXrxYW7Zs0V//+ldJsq9j+NRTT6ldu3Zq3bq1Hn/8caWnp2vYsGE1+v4AwBNfwh6hEEB9RiAE\\\n",
       "UC0HDhyQxfK/mw0uv/xyLVq0SI899pgeffRRtWvXTsuWLXMIlpMnT1Z+fr7uueceZWdnq3///lqx\\\n",
       "YkWtP6cIAOUIhABChWGaplnbnQAAX+Xm5mrOnDlciAFwa/r06crJyVFCQoJPxyUkJCgvL0/JyckO\\\n",
       "f+yqjM1m08mTJxUfH8+SOADqHZ4hBAAAAIAQxS2jAAAATrhlFECoIBACAAA4IRACCBUEQgAXvGnT\\\n",
       "ptV2FwAE0IwZM4J+DgIhgFBBIAQAAHBCIAQQKgiEAAAATgiEAEIFs4wCAAAAQIhihBAAAMAJI4QA\\\n",
       "QgWBEAAAwAmBEECoIBACAAA4IRACCBUEQgAAACcEQgChgkAIAADghEAIIFQwyygAAAAAhChGCAEA\\\n",
       "AJwwQgggVBAIAQAAnBAIAYQKAiEAAIATAiGAUEEgBAAAcEIgBBAqCIQAAABuEPQAhAJmGQUAAACA\\\n",
       "EMUIIQAAgBNuGQUQKgiEAAAATgiEAEIFgRAAAMAJgRBAqCAQAgAAOCEQAggVBEIAAAAnBEIAoYJA\\\n",
       "CAAA4IRACCBUsOwEAAAAAIQoRggBAACcMEIIIFQQCAEAAJwQCAGECm4ZBQAAcFIeCL3dAtF+Rdu2\\\n",
       "bQvIeQCgKgRCAAAAJ8EOhFXp2rWr2/JevXoF/FwAQhuBEAAAwEmwA6FpmvbN2bZt21zqxcTESJK2\\\n",
       "bt3q/5sCADcIhAAAAHWIu9HB/Pz8WugJgFBAIAQAAHDizwhhXl6eEhIS7NuVV15Zy+8CAKrGLKMA\\\n",
       "AABO/J1lNC8vz/71unXrAt4vAAg0AiEAAIATfwNhfHy8/etu3boFvF8AEGgEQgAAACf+BML4+Hjl\\\n",
       "5uZW+9zfffedy3OECQkJ1W4XANwhEAIAADgJ9sL0ycnJOnXqlNt2Ks486tx2z549fT4XAFSGSWUA\\\n",
       "AABqmHMYdPbdd9+5Lc/MzAxGdwCEMEYIAQAAnAR7hNDd+oMVdenSpco6ABAIBEIAAAA3/Al6AFDf\\\n",
       "EAgBAACcBHuEEADqCgIhAACAEwIhgFBBIAQAAHBCIAQQKgiEAAAATgiEAEIFy04AAAAAQIhihBAA\\\n",
       "AMAJI4QAQgWBEAAAwAmBEECoIBACAAA4IRACCBUEQgAAACcEQgChgkAIAADghEAIIFQwyygAAAAA\\\n",
       "hChGCAGgDvM08mCaZg33pHZVZwSmqs8q1EZ3Qu1nx1+MEAIIFQRCAKhnQu3is6ysLGhtFxUVBa1t\\\n",
       "1G8EQgChgkAIAPVMMANSXZSdne33sYWFhZXuj4qK8rttXNgIhABCBYEQAOqJ8PBwFRcXh9zFZ0xM\\\n",
       "TJV1DMNwuRXy2WefldVq9XjMhAkTqt03XLgIhABCBZPKAPBo1qxZ6tOnj+Lj49W4cWMNGzZMu3bt\\\n",
       "qvK4pUuXqn379oqKilKXLl300UcfOew3TVNPPPGEmjRpoujoaA0ePFi7d+8O1tuo10zTtG8lJSUh\\\n",
       "eeEZHR3tcV/5Z2Oz2Rw+K9M09fDDD1d63F/+8pdq9y0yMlKpqakKCwurdluBEBERoePHj6ugoEAd\\\n",
       "O3as7e7Ua+WB0NsNAOorAiEAj9asWaNx48Zp48aNWrlypUpKSnTNNdcoPz/f4zHr16/XiBEjdOed\\\n",
       "d+rrr7/WsGHDNGzYMG3fvt1e59lnn9W8efO0YMECbdq0SbGxscrIyKjy9j6ErqysLIfX1113XbUm\\\n",
       "R7FY/P/1V1xcbA+dRUVFysrKUmlpqUpLS/1uMxAOHTqk4uJipaSkKDo6Wt9//z0TyAAAqkQgBODR\\\n",
       "ihUrNHbsWHXq1EndunXTG2+8oQMHDigzM9PjMS+++KKuvfZaPfzww+rQoYOefPJJ9ezZU/Pnz5d0\\\n",
       "fmRm7ty5euyxx3TDDTeoa9euevPNN3XkyBEtW7asht4Z6pvU1FSH0b/333/fr3aGDx9e7RlLIyIi\\\n",
       "3O4LCwtT27Zt/W67OgYPHqymTZu63cfEOf5hhBBAqCAQAvBaTk6OJKlRo0Ye62zYsEGDBw92KMvI\\\n",
       "yNCGDRskSXv37lVWVpZDncTERPXt29dex52ioiLl5uY6bKgfTp48qTVr1tRqH44fPy7DMPTOO+8E\\\n",
       "9TzfffddUNv3ZOXKlR73RUZG6vLLL6/B3lwYCIQAQgWBEIBXbDabJk6cqCuuuEKdO3f2WC8rK0up\\\n",
       "qakOZampqfZb/sr/W1kdd2bNmqXExET71rx5c3/fCmqIzWaTYRhKSUnRwIEDa+2i2TRNl583f/Tr\\\n",
       "16/KOpU97xgs586dq7LOl19+qWuvvbYGenPhIBACCBUEQgBeGTdunLZv367FixfXyvmnTp2qnJwc\\\n",
       "+3bw4MFa6Qe8526ilZSUlEqP2blzZ8B/xmbOnOlVvYEDB8pms8lms2n27Nku+9evXx/QfgVCXl6e\\\n",
       "10tnfPzxxzxT6CPCIIBQQCAEUKXx48frgw8+0OrVq9WsWbNK66alpenYsWMOZceOHVNaWpp9f3mZ\\\n",
       "pzruWK1WJSQkOGwInPj4+IB+pp4ukit7ns0wDHXs2FEjRoyQYRiy2WwB6Utls42Wn9c0Ta1evdp+\\\n",
       "gT958mSZpqkOHTooKipKBQUFXp/vmmuu8auff/nLX1RSUqLi4mLNmTOn0qDxxhtvyDRNxcXF+XUu\\\n",
       "VI0RQgChgkAIwCPTNDV+/Hi99957+uyzz9S6desqj+nXr59WrVrlULZy5Ur77XatW7dWWlqaQ53c\\\n",
       "3Fxt2rTJq1vyEHimaSo/P19nz54NyAjSq6++6nHf0aNH3ZbfcsstLmVVLeXg7cV4TEyMGjRo4Hbf\\\n",
       "lClTKg2eO3bs0Llz53y6FfS///2vTwEhKSnJ/m8tPDxcERERevDBBx2W0igpKVFZWZn99ZgxY7xu\\\n",
       "HwCAyrAwPQCPxo0bp0WLFmn58uWKj4+3P+OXmJhov0AePXq0mjZtqlmzZkmSHnjgAQ0YMEDPP/+8\\\n",
       "hgwZosWLF2vLli3661//Kun8RfzEiRP11FNPqV27dmrdurUef/xxpaena9iwYbXyPkOdYRj2JRO8\\\n",
       "DTLNmzfX4cOHFRcXpz179iglJUWmaapZs2Y6cuSIx+NiY2Pdlr/33ns+99n5dVFRkSIjI93WP3Pm\\\n",
       "jMrKytSxY0cdOnRIDz/8sKZPn+7TOX1hs9lktVpVXFxcaT3DMHTy5Mkq2wsP59d1TWNhegChgt8w\\\n",
       "ADx65ZVXJJ1/tqqi119/XWPHjpUkHThwwGFNt8svv1yLFi3SY489pkcffVTt2rXTsmXLHCaimTx5\\\n",
       "svLz83XPPfcoOztb/fv314oVK7x+FgqB58u6fBUvfvPy8tS4ceNqn3/gwIEuI8ueePrDgdVqrXSE\\\n",
       "MywsTLt27fKne34pKipSs2bNdPjwYY91AnVbLAKPQAggVBAIAXjkze2Dn3/+uUvZLbfc4vYWwHKG\\\n",
       "YWjmzJleT/aBuqNjx45BaffTTz91uaguKSlxW3f58uUe20lKStKpU6cC2rfqOHTokGJiYryaCbSm\\\n",
       "XAjhZerUqR5HgwOFQAggVPAMIQDAazt37qzW8Z5uGZXO/wGiS5cuSk5Ols1m8+s2ydOnT8swDM2Z\\\n",
       "M6c63QyogoICt4vZl5WV1UJv4C0mlQEQKgiEAACv5ObmVruNgoKCSi+ev/vuO504caLaF9gPPfSQ\\\n",
       "/UK9LgSv4uJi+6L1hmEoLy/Pp9t0UfMIhABCBb+NAABeSUxMDFhbN9xwg9/HVjVRi7O6MiFLly5d\\\n",
       "ZJqmbDabV8tFlJaWymKxyDAMdejQoQZ6iIoIhABCBYEQAFClQC9o/tFHH/l9bEREhPLz8wPYG+/4\\\n",
       "GkSrKyIiwv65//DDD0F/Zg4AEJoIhACAKrVp0yag7VW2NIU3YmJiZJqmevfuHaAeeRYfHy/DMGS1\\\n",
       "Wu2L2AfboUOHXMpKSkp04sQJt/Vrok+hhhFCAKGCQAgAqNL+/fsD1tauXbuUkpISkLa++uqrKp8R\\\n",
       "bNiwod/tl5aW6uzZsw5l3jz7V92Alpqa6ra8cePGDiOVt9xyiwzDsN9a6txX+I9ACCBUEAgBAFW6\\\n",
       "6aabvK7btWtXmabpsNlsNvvXF198cUD7ZrFYZJqmcnJyXPYZhqHTp0/73fbHH3/stjw7O9tt+cCB\\\n",
       "Ax0Cmr/czUparnyk0jAMvfvuuw77AvmcZ6gjEAIIFQRCAECV3nnnHa/q2Ww2ffvtty7lNXHBnJCQ\\\n",
       "INM0dfr0aT300EMqKCio9sLvGRkZbsvdjTr26NFDa9ascSh79NFHPbbdtWtXGYahq666yu1+f0YZ\\\n",
       "mbk0cAiEAEIFvzkAAF4xTVPTp093u++KK66QaZp14sK4YcOGeu655xQdHV3ttiqbyKXiTKGNGjXS\\\n",
       "N99841Jn1qxZHo/dtm2bJGnt2rUeg5yvobCoqMin+vCMQAggVBAIAQBemzZtmsvtoKZpat26dbXd\\\n",
       "taC59dZb3Zbn5+fbw8CZM2d8atN5ltTKgl9JSYlXbRYVFXn9fGN93yreNktAA4DqIRACAFCJJUuW\\\n",
       "+H2sL+sHegqF4eHhlY5Uls98yrIUgcUIIYBQQSAEACBIduzY4bZ8+/btLmWVhQpPt4IuXLiw2s9J\\\n",
       "wj0CIYBQQSAEANSoyMhIhwtpi8WirVu31na3JEnHjx936Nuvf/1rvfbaa361VdltoJ06dVJJSYkS\\\n",
       "ExPVv39/r54VLCsrU1hYmCSpffv2Mk1Tv/3tb/3qG6pGIAQQKsJruwMAgNDh7sLZNE316tXLbf3G\\\n",
       "jRvryJEj9iAUTF9++aX69+/vULZs2TItW7bM6zYMw/B6xC48PNzj8hXuWCwWlZaWel0f1eNL0CMQ\\\n",
       "AqjPGCEEAPjF1xkw/bloPn78uMLDw2UYhmbOnKmysjIVFxdr5MiRCg8PV2xsbJUL00dHR9sv7jMz\\\n",
       "Mz3Wcw6DFcXExFTZ14yMDG7fvIAwQgggVBAIAQA+WbVqlcPi6926davymEBcME+bNk3h4eGyWq1a\\\n",
       "tGiRysrKVFBQoPDwcL355ptuj7FYLCosLLS/7t27txo3buxSLz4+3uN5Fy9erPz8fN1///0e60RH\\\n",
       "R2vFihU+vBsAAOoGAiEAwCtr1qyRYRgaPHiwQ/l3331X6XE1cbvnmDFjXEJnRkaG21HMEydOyDAM\\\n",
       "FRYWyjRNJScn6+zZs27bnTt3roYPHy5JmjdvnmJjY93WKygoqLR/J0+eVGRkpGJjY12WnEDdxAgh\\\n",
       "gFBBIAQAuLDZbGrUqJHDBe/AgQM91vd0++i+fftq9DZKwzDUsWNHWSwWffLJJ5XWjY6OlsVi0alT\\\n",
       "p9zuT0hI0AMPPOBQdvbsWYWH/+/x+/IlHyqTnZ2tlJQUlZSUqKCgQHFxcT49a4jaE6wwOHv2bLft\\\n",
       "bNu2LQjvAgAqx6QyABAifvjhB5WWlqpTp06VXsSGh4dX+VyeM0/ttWnTxqd2AmHnzp3VOj4sLKzS\\\n",
       "yVu8XSi+XKNGjTyex9fnMFFzgjmpzJQpU9yWd+3alZ8JADWOEUIAuMA988wzMgxDHTp0UJcuXezP\\\n",
       "/v3nP/9xqDdjxgwZhuFzGKxMfbuVrkePHgGfybOyC/zU1NSAnqsy3Nrom5q4ZdQ0TfsGALWFEUIA\\\n",
       "uMBNnTrVbfkNN9wQkPYruxguLCxUREREQM5TE2p6PcSTJ0/WyHkIgr7zZ4QwLy9PCQkJ9vJu3bpp\\\n",
       "7dq1lR5nmibfHwC1ihFCAKjDYmNjNW7cOL+Pr4kJTCIjIz3uK7/9tOJzd95o2rSpfYkJi6VmflU9\\\n",
       "+uijQWl37NixHve9/PLL1Wq7PLQkJyd7rBPIEd9Q4u8IYV5enn1bt26d27YXLlzocJ5yjBQCqA0E\\\n",
       "QgCowwoKCvTyyy97NXmJO55mxQykqm6xtFgsKikpcbg9zjRNlZaWelyo/tChQ7JYLIqIiFBZWZmi\\\n",
       "oqLctv3MM8/Y2ztw4ECVfbVarR73/elPf6ryeH+8/vrrHkeAfve73/ndbnR0tP3rU6dOeQzdmzdv\\\n",
       "9vsc8F18fLx987S25ciRI92WM1IIoDYQCAGgnvB1lK2cv6MOzgHuiiuucFvP3xGosLAw2Ww2l/O4\\\n",
       "c+7cOYelHUaMGCHTNPXII4/Yy5o3b+7x+PK2y5eaME1TNptNP/zwg70Pnvz0008uo0EV1zb0hrv3\\\n",
       "Wd3RIOc+lJWVOYTEcpdddlm1zhOq/BkhjI+PV25urn2r7HZRiWcIAdQNPEMIAPXEk08+6fexvjyn\\\n",
       "FBMT4/ZW03Xr1tXqCEZ0dLRXF842m81+m2lERISKi4vd1jMMQ5dcckmV7bVr185tX7Zu3aoePXpU\\\n",
       "eXywtGzZUvv373cocxdUGXXyTzBnGQWAuoQRQgCoB1JTU6v9jFvF2y67devmdsTKNM1Knzv0FK7q\\\n",
       "kvLba03TrHZ/Kzu+Z8+e1Wq7un766Sev67Lmoe9qYpZRFrYHUBcQCAGgDisPNllZWdVuq+Lo0Tff\\\n",
       "fONXGxEREYqLi3MoC9ZkLHVBVRPaHD58uIZ64srTLcTuwl95SH7ttdeC3a0LRjADYYMGDdyWDxky\\\n",
       "JAA9BwDfcMsoAISAY8eOObwuLi6udHbQyuTl5alFixY6ePCgEhISgjYZS11Q1XObO3bsUNOmTWuo\\\n",
       "N96pLJzccccdNdiT+i2Yt4yeOXPGny4BQFAwQggAIeCiiy5yeH333XdXq70DBw5o+fLlys7OrlY7\\\n",
       "9UFlF/u1fdsoAADVRSAEgBBQcYZOSXrzzTer3ebQoUND4tmnyp6/S0pKqsGeeIfnBQOjJp4hBIC6\\\n",
       "gEAIAPXUjz/+6HBB+t1339V2ly5Ypmm6PE9Y2eQ7NaFhw4Zuy0Nh1LYmEAgBhAoCIQDUQ4WFhS5L\\\n",
       "JnTr1k3bt2/3ug1/1z77xz/+oTlz5vh1bHVs2rRJvXv31lVXXVUroaesrMy+fqFpmoqJianxPpQb\\\n",
       "MWKEx89gxIgRNduZCxSBEECoIBACQD0UGxvrtrxLly5uy0+cOOFS5utF7NixY2UYhsaOHauHHnqo\\\n",
       "xi6Cr776ahmGocsuu0yZmZlau3atGjZsqPvvv79a7ebn5ztc0A8dOtSr42r74n/KlClavHixx/0r\\\n",
       "V66swd5cuAiEAEIFgRAAQkBycrLDLY6+jg4WFRXpH//4h0v5ggULqt23ypSVlWn16tVu923cuNHv\\\n",
       "dm02m8vyGe+//77LbKy+SEhIsIeDYK7XOHv27Crr5OXlBe38oYJACCBUEAgBoB7Kzc11Wx4fH+/x\\\n",
       "mJiYGPu6hr5KTk52Wz5u3Dif2/LFDz/84HHfV1995Xe7YWFhbsvT09P9as8wDIcQZrVa3X7OZWVl\\\n",
       "btdy9NbYsWO9qpeQkOCw7iQAAJ4QCAGgDgsPD1fDhg1dLu5jY2NVUlLiUuYpKFaXpzULgz0y0qlT\\\n",
       "J7fl586dC8r5AjlDp/MkNDabTeHh4SotLbXfruord6O0nkRHRysxMdHnc+A8RggBhAoCIQDUYWVl\\\n",
       "ZcrOzlZ0dLSaNWvmsC88PNw+4meaps6ePRu0fhw/ftxt+f79+4N2znLlQUo6P/JlmqaioqI81j90\\\n",
       "6JD9Iv3KK6/06VxVLUTvq/JR2TNnzrgdlTQMQ/v371dBQYEeeOABNWvWTPv27QvY+XNzc13Ciq9B\\\n",
       "py5uRUVFDj/77rbqIhACCBWB/c0HAAiaw4cP19q5w8LC9Nvf/laLFi2yl8XGxqpp06ZBP7dhGC6j\\\n",
       "oZ6YpqnmzZvbX69bt06lpaVeB71t27b51UdPzp075zJS6KxVq1YOr1u3bi2LxaKysjKH8quuusrv\\\n",
       "fkRERHj9GeI8X4IegRBAfUYgBOq5vXv3au3atfZRhpSUFPXo0UP9+vWrdBQF8NXChQu1cOFC5eTk\\\n",
       "1NlbEd39zLdr10579+716vj27dv7dV7TNAMaCmw2m1JTU+2T3BQUFGjt2rV+t1daWhrwPoYCPi8A\\\n",
       "oYBACNRTCxcu1IsvvqgtW7YoNTVV6enpio6O1unTp7Vnzx5FRUVp5MiReuSRR9SyZcva7i4CoK4E\\\n",
       "/LoaBiW5nd3T25HVyiaw8UagA9fx48fVrl07HTt2zOOsodHR0SotLfVq9M9isQT0dtQLHSOEAEIF\\\n",
       "zxAC9VCPHj00b948jR07Vvv379fRo0eVmZmpdevWaceOHcrNzdXy5ctls9nUu3dvLV26tLa7jGoK\\\n",
       "Dw8PyEQqp06dkmEYslgsQV0aoba0aNHCpczb58kuueSSap/f+fbP6rrrrrsclgupyGazqaCgQMXF\\\n",
       "xWrdurVX7QW6fwCA+o8RQqAeeuaZZ5SRkeFxv9Vq1cCBAzVw4ED96U9/YlSgHrPZbAEbffj555/V\\\n",
       "pk0bSedDktVq1QsvvKCJEycGpP26YOfOnYqNjXUoKy0tdXg9bdq0oJ0/kP/Wyr/3x48f15w5cxz2\\\n",
       "TZ8+3eHnYvv27S7vG9XDCCGAUMEIIVAPVRYGnSUlJalXr15B7A2CKZAXmh07dnQpe/DBBwPWfl0Q\\\n",
       "HR1dZZ0nn3zS6/YKCgrUuXNn/fzzz1XW3bNnj9ftVqVFixb27727/j722GMOrwMxqyYcMcsogFDB\\\n",
       "CCFwgTh+/LiOHz/uso5a165da6lHqGuKiorclttstipnwqwvPF2YR0ZGat++fbrooovchqeIiAi3\\\n",
       "x5WPupWPrDqP2JqmqaZNm+ro0aPV7bqDist5xMTEuOx3XsLi3nvvrbS9RYsWacSIEZIYzfIWI4QA\\\n",
       "QgWBEKjnMjMzNWbMGO3cudN+oWsYhn2CC+ep6xG6yhdFd1bbF7MRERH2fhmG4XZx+B9++EFdunSR\\\n",
       "zWbT66+/rtGjR7ttq7Cw0G15SUlJpUtkTJ061aXM3bqO5cHZYrEEdBH7ispnFvXFwoUL3Zb37NlT\\\n",
       "mZmZ1e1SSCIQAggVF8afhIEQdscdd+jiiy/W+vXr9fPPP2vv3r0O/wXKuZuJ8vbbb6/Vi9kGDRo4\\\n",
       "hNTyP2TEx8dr586duuOOO2QYhjp06KDS0lLZbDaNGTNGhmFozJgxLu25G03zxowZM1zKnn32WY/1\\\n",
       "gxUGLRaLGjdu7La83KOPPuqy392op2EYhMFq4JZRAKGCEUKgnvv555/1r3/9S23btq3trqAeKA8O\\\n",
       "dWFNutLSUuXk5Ljdd/bsWbfPPFb05ptv6s0331RkZKQk90tOeCMtLc1t+YQJE3x63rC6wsLC3I7g\\\n",
       "Sudv942IiJDFYtGf/vQnl/1RUVEuo6OeQuuF8LyhuwAfaIwQAggVjBAC9dygQYP07bff1nY3UM9U\\\n",
       "dgH73//+VxaLRe3atauynQMHDuiqq67SL37xC61evdqnW5Q9Pbfnq+LiYq/C4MUXX6yHHnpIVqvV\\\n",
       "XvbPf/7T4/N/ycnJAemfs169esk0TftWUlIi0zQ9hkHp/O2+pml6/HwLCgocXk+ePDmgfQYAXLgY\\\n",
       "IQTquVdffVVjxozR9u3b1blzZ5eL7KFDh9ZSz1Af/etf/9LNN98sSfrpp5/sz6M6M03TZSKazz//\\\n",
       "3GO7hmGoY8eOeumll/TMM89oxYoVAe13VSq+h+eee87r48LCwgL+HO6WLVscXoeHV/9Xcfn3acGC\\\n",
       "Bbrjjjvso6bwHyOEAEIFgRCo5zZs2KAvv/xSH3/8scs+JpWBr8rDYEXOoaiwsNCr5R0qMk1T33//\\\n",
       "vQYOHFjdLvrk888/14ABA/w+vrS01G34ddagQQOdOXPG/rpt27YBXYbCW1XNNgrvEQgBhApuGQXq\\\n",
       "ufvvv1+jRo3S0aNHZbPZHDbCICqyWq0yDMPtpCWVKf95KufvxC017a233qpWGCxnGEaVt6RWDIPS\\\n",
       "+dFV1G9MKgMgVBAIgXru1KlTevDBB5WamlrbXUEdVjHUnDhxQk8//bRPx8+ePdv+dX2YlKR58+Ya\\\n",
       "NWpUwNqLiIhwO3oqef48Tp486VL2xhtvBKxPCC4CIYBQQSAE6rkbb7xRq1evru1uoA5bsmSJS9kf\\\n",
       "//hHn9q49tprA9WdoDMMQwcOHPDpGNM0tX37dr311ltavXq1zpw54xL0Fi1a5DI6WtnyE0lJSXro\\\n",
       "oYfsr+Pj490ulRFsZWVlatKkieLj4/WrX/2qxs9fXxEIAYQKniEE6rmLL75YU6dO1bp169SlSxeX\\\n",
       "SWUmTJhQSz1DIISHhys2NlaZmZl+Ly3iKYRkZ2erQYMGDmWRkZFub4/s0aOH/evJkydXukZfTXJe\\\n",
       "IL5z587atm2bT20kJiYqNzfX4/6wsDA9++yzuu+++5SXl2c/rzeee+45nyaxCYaKk9a4e9YYABDa\\\n",
       "CIRAPffqq68qLi5Oa9as0Zo1axz2GYZBIKznysrKlJuba18CwmKxqLi4WGFhYV634en5t5SUFJfF\\\n",
       "6lNTU3Xw4EGHMufRj9mzZ9eJQHjq1Ck1atSoWm08//zzlYZB6fz34KGHHtKaNWu0fPnyap2vpp07\\\n",
       "d662u1BvMakMgFDBLaNAPbd3716P288//xyQc7z00ktq1aqVoqKi1LdvX23evLnS+kuXLlX79u0V\\\n",
       "FRWlLl266KOPPnLYb5qmnnjiCTVp0kTR0dEaPHiwdu/e7VffKq7n5m4rKiry+davurQ5s9lsCg8P\\\n",
       "l2EYOnTokF+fWTl36945h0FJGjFiRLXOEywNGzasdht/+MMfvK77wQcfVPt8Nc3X2WDxPxfCLaOL\\\n",
       "Fi2qs30DUHcQCIEL1NGjRwMyirNkyRJNmjRJ06ZN09atW9WtWzdlZGTo+PHjbuuvX79eI0aM0J13\\\n",
       "3qmvv/5aw4YN07Bhw7R9+3Z7nWeffVbz5s3TggULtGnTJsXGxiojI0OFhYXV7m8oad68uQzDUMuW\\\n",
       "LSutV9kkMIZh2G+DvPLKKz2ex91xwXT99dfbQ70nX331VbXO4evkOL6MyqL+uxAC4W9/+9va7gKA\\\n",
       "esAw68N0cQA8uuOOO9yW79+/X5s3b7Zf7Purb9++6tOnj+bPny/p/AhV8+bNdf/992vKlCku9YcP\\\n",
       "H678/HyH0ZTLLrtM3bt314IFC2SaptLT0/XQQw/ZR2dycnKUmpqqN954Q7/5zW+86ldubq7mzJlT\\\n",
       "Zb3i4mLNmjXLqzbru0aNGunUqVMOZSUlJdVepDwsLMxlNPGqq67S2rVrq9VuZZx/NXm64K7qV1hJ\\\n",
       "SYliYmJUWlqqmJgYHTt2THFxcZKk//f//p9P6/YVFxe7PKNbH2RnZzuMpl4Iv/ZnzJhRZZ3p06cr\\\n",
       "JydHCQkJPrWdkJCgvLw8PfLII7JarV4dU1RUpNmzZys+Pr7KW5BrWvm/nQvh+w4gOBghBOq5M2fO\\\n",
       "OGwnT57U5s2b9fnnn1d7Movi4mJlZmZq8ODB9jKLxaLBgwdrw4YNbo/ZsGGDQ31JysjIsNffu3ev\\\n",
       "srKyHOokJiaqb9++HtuEd06fPi3DMNSiRQsdPHhQo0aNqnYYlOR2PUvn51W9dcsttygpKanSOhUn\\\n",
       "sCk3b948t3Uru8g9evSoIiMj7WG2oKBA8fHxSkxMVEZGhk9hsLS0tF6GQUkuEwfBOxfCCGFF9a2/\\\n",
       "AGoOgRCo59577z2H7T//+Y+2b9+umTNnatmyZdVq++TJkyorK3NZ4zA1NVVZWVluj8nKyqq0fvl/\\\n",
       "fWlTOv8X+NzcXIcN7h08eFAtWrTQwoULA9amuxG7irNXStJNN92kHTt2KDEx0WM7Tz75pDZt2lTp\\\n",
       "Bam7ZVTuu+8+t3XXr1/vsZ0WLVq4Lc/NzdUnn3zi8Thn48ePr/e3izK7aOgqv/W6qj/EAAhdBELg\\\n",
       "AjVixAh9/vnntd2NgJk1a5YSExPtm7vn2hA8zuFPOn87ZsUJfN5991116NBB2dnZHtu55JJL1KZN\\\n",
       "G9lsNn333Xcu+1NTU90GSnfnl6T+/fu7LTdN0+2kOf74y1/+4tdxZWVldeY2vWuvvVaLFy+u7W7U\\\n",
       "O/VxdNBTn+bNm+fw7xUAyhEIgQvUt99+6/bWO18kJycrLCxMx44dcyg/duyY0tLS3B6TlpZWaf3y\\\n",
       "//rSpiRNnTpVOTk59s3dbJgInsoWYPdWfHy8w+suXbrYL05tNptM06x0lNiT8udbKwrErbK+uvrq\\\n",
       "qx1CQnh4uCwWiwzD0HXXXVfj/XE2fPhwgoAPLoRbRiv2a+TIkXW2nwBqF+sQAvXcpEmTXMqOHTum\\\n",
       "5cuXa8iQIQ77vZmEpaLIyEj16tVLq1at0rBhwySdDwarVq3S+PHj3R7Tr18/rVq1ShMnTrSXrVy5\\\n",
       "Uv369ZMktW7dWmlpaVq1apW6d+8u6fwtfJs2bfJ4W6AkWa1Wryd4QHA0b968WkF86dKlHvd5c6Ea\\\n",
       "Hh7udtTv/vvvV4sWLXT99dfLMAxNmTIlYKODkrRlyxb17t270jpV9f/DDz9UWFiY2+cxUTf5EvTq\\\n",
       "ctAyDIM/BACoFIEQqOe+/vprt+V9+vTR8ePH7ctD+HvBMmnSJI0ZM0a9e/fWpZdeqrlz5yo/P1+3\\\n",
       "3367JGn06NFq2rSpfSbPBx54QAMGDNDzzz+vIUOGaPHixdqyZYv++te/2vsxceJEPfXUU2rXrp1a\\\n",
       "t26txx9/XOnp6fbQibrJ23UPPYWnQYMGVev8lf0M33DDDdVquzJ9+vSp9ILa20lbbDYbF+f1SH0P\\\n",
       "hLGxsbXdBQD1BIEQqOfcTcARSMOHD9eJEyf0xBNPKCsrS927d9eKFSvsk8IcOHBAFsv/7j6//PLL\\\n",
       "tWjRIj322GN69NFH1a5dOy1btkydO3e215k8ebLy8/N1zz33KDs7W/3799eKFSsUFRXlc/+quhCz\\\n",
       "Wq31+gK8rl1oJiYmKicnx+P+9PR0HT161O2+6k7MUlJSUq3jq6OyIFfZ5+FrW6g76nsgLCgoqO0u\\\n",
       "AKgnCIQAqjR+/HiPt4i6m7jmlltu0S233OKxPcMwNHPmTM2cOTNQXbxgmaYZkLUEAyU3N1eGYeiK\\\n",
       "K67Qzz//rKysLK/DzdmzZ12eI/TlvLXts88+09VXX+1Q5m+w4/bRuq++BkLTNO39Kf/jQ13qH4C6\\\n",
       "h0llgHro2muv1caNG6usl5eXp9mzZ+ull16qgV4hWCIiIurciNKXX36po0eP+tQvb6a9Hzp0qP1C\\\n",
       "3GKxqH379rrooosqXcqipri75fXcuXN+tWWz2bilD0FTcbKmBx54wF7+zDPP1GKvANRVjBAC9dAt\\\n",
       "t9yim266SYmJibr++uvVu3dvpaenKyoqSmfOnNGOHTu0bt06ffTRRxoyZIj+/Oc/13aXEQBJSUk6\\\n",
       "depUbXfDbyUlJcrJyfEY7sLCwhxmMzVNU7t27aqp7nmlbdu2+umnn+yvqzPyUlBQoClTpnCRXkfV\\\n",
       "1xFCZ3PnztXcuXNruxsA6jACIVAP3XnnnRo1apSWLl2qJUuW6K9//av9OSbDMNSxY0dlZGToq6++\\\n",
       "UocOHWq5twiUo0eP1plbR/3VoEED++QqFT344IMBWdoi2Pbs2ePw2p/nXiuaPXs2gbCOulACIQBU\\\n",
       "hUAI1FNWq1WjRo3SqFGjJJ2f2OLcuXNKSkpSRERELfcOwXChfF8tFouKi4vt76esrKxejWBERUWp\\\n",
       "sLBQUmCCwIQJEzRv3rxqt4PAIhACCBU8QwhcIBITE5WWlnbBhAb4prCw0OG5oYcfflgtW7bUtGnT\\\n",
       "VFpaKtM0VVpa6jAjrHT+NtTy46Kjo2usv5GRkYqMjFTjxo0VHl63/jZpGIZ27typCRMmuN1fVFSk\\\n",
       "zMxMSdKPP/5Y7fPNnz+/2m0g8C6EhekBwBsEQgCowyIiIhQTE6OUlBSPt4tGRETIarXaXxuGoWef\\\n",
       "fVb79u3T9OnT7cs9hIWFOSzdMH78eJ08edL+uqCgoEYvbEtKSnTixIkaO5838vLyZLPZ1L59e734\\\n",
       "4oseJ83p3bu3DMPQJZdcUu1zBmrCoD179ig9PV1TpkwJSHuhLtiBkGAJoK4gEAJAHVZaWqpz587p\\\n",
       "5MmTHtfhKykp0ebNm71qr+KsmMuXLw9IH+ubc+fO2UdFTdPU7Nmz1bRpUxUUFCguLs6l/ldffRX0\\\n",
       "Ph0/ftyn+ufOndPgwYNltVrtQaJt27Y6evSoZs+erWHDhgWnowiIin/AAYDaRiAEgAtA3759vVrw\\\n",
       "vE2bNvavDx48qNLSUvvr8oBU1912223atGmTXxfVBQUFLhPBTJ48WYcOHfJ4y2z5aGAwpaamevXZ\\\n",
       "l68DGRMTo1WrVqm4uNhtvcrCvq8jX3VxKyoqcgj17rbqCuYIYfn3LRj9BgBf1a0HNwAA1WKxWJSd\\\n",
       "ne1xaYdjx445vI6IiJDFYlF4eLjHcFGXnD171r5+X2FhoWw2myIiIryaoTQtLc3v5yTdzYwaaOXP\\\n",
       "d4aHh6t169b68MMP1a5dO0nnRwTj4uLqxUysF4qamFTG+TgCIYDawAghUM+NGTNGX3zxRW13A3VI\\\n",
       "gwYN3F5Yegp8NpvN7zBosVi0f/9+ffPNN0EPTGPHjnVZzN1isaisrMxhQh2bzSbTNFVSUqI77rhD\\\n",
       "4eHh6tChg44ePVqt87ds2bJax3urtLRUu3fv1sUXX2wPJTExMYTBGubPCGFeXp4SEhLs25VXXunz\\\n",
       "OQGgphEIgXouJydHgwcPVrt27fT000/r8OHDtd0l1AEWi8UlQAT6uaXw8HCVlZWpRYsW6tatm2w2\\\n",
       "mzZv3qz4+HjFxMSoWbNmPp0zOjpaOTk59nB37NgxtW/fXg0bNtTevXv1+uuvV9lGxYvz8PBwvfba\\\n",
       "ayopKdGOHTv8fp/l9u3b53Hf+++/b+93aWmpXnnllWqfLxg+/vjj2u5CveHvLaN5eXn2bd26dZWe\\\n",
       "g1tFAdQFBEKgnlu2bJkOHz6s++67T0uWLFGrVq30f//3f3r33Xc9TkKC0BAREaHi4mLZbDYlJycH\\\n",
       "vH13f3zo06ePcnNzlZ+fr4MHD6qwsFDjxo2rsq1rrrlGBQUFSkhIsJc1btxYO3fu1OnTp9WqVatA\\\n",
       "dt1v5TO2VhQfH6/rrrvOoc69996rgoKCmuyaC3f//ocPH14LPamf/A2E8fHx9q1///61+A4AwDsE\\\n",
       "QuACkJKSokmTJunbb7/Vpk2b1LZtW912221KT0/Xgw8+qN27d9d2F1ELbDabrFarwsLCdOrUqYC2\\\n",
       "/eGHH6px48Ze1Z0/f75M01R8fLzLviFDhsg0Tf33v/8NaP+CpeIkPNL50J2bm+u2bnR0tEzT9Hgb\\\n",
       "YOvWrVVSUqLCwkKXiW4Cwd3obE2uNRmK4uPjlZuba9/Wrl1b210CgCoRCIELyNGjR7Vy5UqtXLlS\\\n",
       "YWFh+tWvfqVt27apY8eOeuGFF2q7e6hHvvvuO7czIJY/r/erX/3K5zZzc3NlmqbOnj2r4uJimaap\\\n",
       "Dz74IAi991/FEZ9Bgwa5rVP+fGJpaalXz17abDbFxMS4lP38888KDw+X1WrVuXPnVFhYGJD3ULGf\\\n",
       "zqOUzpMKwbNgzjLq7hwAUFsIhEA9V1JSon/961+67rrr1LJlSy1dulQTJ07UkSNH9I9//EOffvqp\\\n",
       "3nnnHc2cObO2u4o6rEmTJjp79qw9+HXp0sVtvfKZMKsjNjZWERER1W4n0JxvB/3ss8881g0PD3d7\\\n",
       "+6gn+fn5DsHaXQCwWq0yTVP79+/3vtNVuPvuuwPWVqgJZiD09MwgzxICqA0sOwHUc02aNJHNZtOI\\\n",
       "ESO0efNmde/e3aXOL37xCzVo0KDG+4a6LzExUdnZ2bXdjaDav3+/wzOIni663c3iaRhVr+0YaC1a\\\n",
       "tLCf05dlNdx59dVXA9m1kBPMkTvCH4C6ghFCoJ574YUXdOTIEb300ktuw6B0fhmCvXv31mzHUC8c\\\n",
       "PHiwtrsQdO3bt3d43bp1a7f1brnlFrflhw4dCnifvFW+rIa/eGbQfzVxyygA1AUEQqCeu+2224Iy\\\n",
       "IQVCw6JFi2q7C0HnPBLjafmId955x+2FfWZmpkvZlClT1Lx5c504cSIgfayKP89aehpVdPdsaH3b\\\n",
       "rFZr0AMagRBAqCAQAkAdFuwLzXvvvTeo7Qfb8uXL1bRpU+Xn53usU9n6gc5sNpvDMhmRkZG64YYb\\\n",
       "HOoYhqHZs2fr0KFDaty4sQzD8GpymerwZhIfwzAUFhamESNGVDq7KbxDIAQQKgiEAFCH2Ww2+yLt\\\n",
       "wVLV5Ci9evWyX/TOmzfPY72SkhIlJiYqIiJCycnJ6ty5syIjI91ePA8cOFA5OTk6ffq0Onfu7LJ/\\\n",
       "69atVfY7IiJCw4YN05EjRxQXF+fxojwtLa3KtioqXybDNE0VFRU57Hv33XfdHmO1WoO6VqKn9zZh\\\n",
       "wgR7X202m0pLS0Ni1BcAEDgEQgCoBxo3bhy0SShsNpvb2yIlafPmzQ7h7IEHHlC/fv1c6vXo0UOR\\\n",
       "kZHKzc1VaWmpTp06pe+//97t4uiStGbNGjVo0EBJSUn6/vvvXfb36tVLX375ZaX9dl4TUPL8HKBp\\\n",
       "mvaZTb1dP9EdT0tRSOcnrzEMo1rP/FXm448/dnhts9n04osvBuVcYIQQQOggEAJAPRKsGUF79+7t\\\n",
       "tvyyyy5zKdu4caPD65KSEn3zzTcB71P//v097vMUjp37VlH52ofVGW1t2LBhlXXCw8NlGIYsFot9\\\n",
       "CwsL08CBA6sV6q+99toql65A4BAIAYQKAiEA1COJiYk1ej5PAebaa6+1f221Wmv8/J4uwAO5hp8n\\\n",
       "06ZN86pexfBms9m0Zs0aWSwWTZo0Kcg9RCAQCAGECgIhAMBnFRdtD+Z6apVNFlPxeUaLxaLMzExZ\\\n",
       "LMH/tTZ9+vRqHT937tyA9MNbpaWlevHFF+0jl/AOgRBAqGBhegCoRz799NPa7oIkKTk5uUbOExMT\\\n",
       "43Hf/fffr/vvv79G+hFIvsx66o/S0lJZrVa/F7PHeb4EPQIhgPqMEUIAqEeuueaa2u6CJGn48OFV\\\n",
       "1jEMQyUlJSorK1Pfvn1d9sfHx+v06dM6d+6cx2cYa2LEryZ17txZLVq0CFr75ZPnEAYBAN66sH7T\\\n",
       "AsAFLCoqKqi3Z3700UcOr8tn5XTn+eefr7I9m82m8PBwWSwWbdy40WVx8dzcXDVs2FBRUVH66quv\\\n",
       "ZJqmysrK9K9//Uu7d+8O6nutDn/XHPz222+1bdu2APfmf06fPn3BBejaxC2jAEIFvzkAoA6Ljo6W\\\n",
       "xWKRYRgua+IF2pAhQxQREWFfF9Ddsg7lqgoeV199tV99sFgsuvHGG9W2bVuH8pSUFIeL77/85S9+\\\n",
       "te/JyZMn7TOCZmVlVVrX30l0unbt6tdxkrxayiIpKcnv9uGKQAggVBAIAaAOKywsrNGRstLSUrfr\\\n",
       "AlbkzcXve++9F6guqaSkRCdPnnQomzBhQsDat9lsSklJsY9cNmnSRO3atXNbNywszK9z+BsYTp8+\\\n",
       "LcMw7BPCeBqdJJAEHoEQQKggEAIAfHLu3Lkq68TFxQXsfJ9//rnb8kAtAB8VFeVS9tNPP7mt6++z\\\n",
       "ef6GeudRP6vVqpkzZzqUcZtocBAIAYQKfosAQD2SmppqH8nq06dPjZ8/KirKq1smAxlSGjRo4Lbc\\\n",
       "m0B4/PjxKuuUlJS4Lc/Ly6vy2HIjR47Uhx9+WGkw8HV0MTIy0m35tGnTHIJIXX3Wsr4jEAIIFSw7\\\n",
       "AQD1SMXn2zZv3uz1hegPP/ygSy65RNL521AbNWrk1UifM3+Oqa6ePXu6LfcUmCTp7Nmzio+Pt7/2\\\n",
       "JzRVPL7c2rVrdeWVV9pfFxQUKDo62v7aZrOpSZMmbp9DtNlsXge4Vq1aeQyqAAAEEoEQAOoRm81m\\\n",
       "H30bOXJklfXLyspcRuuioqJUUFBgf+1tqPQUZEzTVHR0tIqKivTjjz+6TAhTXf48t+cc5jwFscsu\\\n",
       "u8zt8SdOnHBb3r9//yoD3dGjRyv9TBlNqh9YhxBAqOCWUQCoR8LCwvTJJ5/osssu06JFiyqte+21\\\n",
       "13p162Ygbjk8d+6cbDab2zD4/PPPyzAMWSyWGrm90ZcAuWnTJrfHJycn+33+nJwcv4/1lWEY+uST\\\n",
       "T1RcXKzCwkJ98sknlS4XAu9xyyiAUMEIIQDUMxkZGV7V+/jjj71uc9u2berSpYu/XfKorKxMf/jD\\\n",
       "HySdD54Wi8V+62R1paSkuIzkff/99x4nfklKStKpU6fsrz31obLlNqpis9k8PvMYaEVFRS63zf7y\\\n",
       "l7+0z0QaFhbGAvXVwAghgFDBCCEAQJ07d1ZaWlqldcLDff8borvbWn2dcObIkSNuy8vXDvz44491\\\n",
       "//33y2q1qnPnzh7bKV/CoXxdR3eqc2EfERHh97IUvjp16lSlz1BKgZuFNVQxQgggVBAIAQCSqn72\\\n",
       "raysTIZh6PDhw163OWXKlGr3q2nTph73maapX/3qV5o/f77HNfrcHePJSy+95HP/EhISZBhGtUYW\\\n",
       "fdWoUSOv6rEkRfUQBgGEAn5TAADs8vPzq6zTrFkzry+Iu3fvXq3+PP7449U63lfbtm1zKbPZbHrm\\\n",
       "mWc0ZcoUnT171l4+e/ZsGYbh0/IUgeDLZ8qSFACAqvAMIQDAbu/evX4dt3DhQo+znpqm6RAafXmu\\\n",
       "7amnnvKrP/565ZVXNH/+fPvImnPYnT17do32x52vv/7a67oEQv/xDCGAUMEIIQBcoLKzs72uW1pa\\\n",
       "qosvvlidOnXy61ytW7eudL9pmvbN24vnqKgov/pSXWFhYXX2VkBPy2S4wzqG1cMzhABCBYEQAC5Q\\\n",
       "v//976usc/fdd8swDEVERGj37t1+n+vyyy/3+1hPioqKfD6mT58+NTaxS02LjIzUhg0bvK4fExMT\\\n",
       "xN5c+AiEAEIFgRAALlBLliypdH9+fr5effXVap0jISEhKLclFhQU+FTfMAydPXtWmzdvVmlpqceJ\\\n",
       "aCIjI/Xjjz9WOyz95je/UUlJiWw2m2w2m8rKyhxGQU3T1JdfflmtczjzJuBXVJOT3FyICIQAQgWB\\\n",
       "EAAuUFU9q9e4cWO/227UqJFM0wzaIux33XWXT/XHjRun2NhY++tDhw651Fm8eLGKiorUrl07rybP\\\n",
       "cWaxWFRcXCzTNPX2228rPDzcHgbczeZ5+eWXa9++fT6fx5O5c+d6Hb4bNmwYsPOGKgIhgFBBIASA\\\n",
       "C1hlyw74OgpXbunSpQ4LvAfDO++8Y/967969Mk1TZ86c8Vj/wIEDLmWmaap169YKCwtTQUGBhg8f\\\n",
       "7rA/JSWlyn40btzYPvpXVlamiIgIH96F1LJlS5/qV8VisWjAgAGV1klMTPTp+VG4RyAEECoIhABw\\\n",
       "ASufxKWq20d9cfPNN1e6Pzs7W9dff72sVmulF9Dffvuty7HPPvusDMNQWVmZLBaLTNNUq1atJEkN\\\n",
       "GjRQZmam23P+5z//cTuJys8//6zS0lJFR0e77CssLKz0feTl5enYsWPVXsvv73//e7WOd/bFF19U\\\n",
       "+rnm5uZWeryvQacubkVFRS636DpvAADvEAgBIAT85je/kWEYatu2rYqLi/2ewdPTsgumacpiscgw\\\n",
       "DDVs2FAffPBBlQvFd+/e3eVC/5FHHqn0mMpmQY2MjKz6DVTgaf3AFi1ayDRNxcXF+dSeJ7fffntA\\\n",
       "2kHNYoQQQKggEAJACNmzZ4+sVqtfM3hK0uTJk13KkpOT7aN5geTuGci0tLRKj/H2wrx58+YuZTNm\\\n",
       "zJBpmtq/f793HfSBv583ag+BEECoYGF6AICLX/ziF1q+fLkOHTqkyZMnq3v37nryySdd6gX7QrhR\\\n",
       "o0Y6ffq0JOnJJ5/06tk4d32yWCyyWq0qLCx0Ca4RERFVjmZWV2RkpGw2W7VvP0XN8SXoEQgB1GcE\\\n",
       "QgCAi88++0yS1KFDB73//vtu61it1qD348yZMwG52LbZbDp37pzbfcEOg+UMw7DfWsszbnUfgRBA\\\n",
       "qOBPlQAAv9RUkKqvPK0DWNVyIL4wDEM2m81hMhVPz0bCN9wyCiBUEAgBAAigRYsWyTAMRUREyDAM\\\n",
       "t8Hwhx9+CMi5bDabSxiJi4uTaZo6duxYQM4BALiwEQgBAC5WrlxZ212oMRdddFFA2xs5cqTDa3dr\\\n",
       "F7Zt27ba56nqttPGjRvLNE2dOHFCDRo0YBTLR4wQAggVBEIAgItrrrmmtrtQY/bu3avw8HCdPHlS\\\n",
       "2dnZuuiiiwJ+ke/cVs+ePavVni/PICYnJ+vMmTP2W0vhHQIhgFBBIAQAuBUe7nnesb/97W812JPg\\\n",
       "KysrU0pKiho2bKi9e/fay8PCwnxu6ze/+Y3bcsMwNH78eMXGxuq7777zq59nz54l1NUQAiGAUEEg\\\n",
       "BAC4VVZWJsMwVFZW5lD+2muv6Z577nGp/8UXX8g0TdlsNh0+fFgtW7as9xfK/kwA8/bbb3vc99JL\\\n",
       "L6mgoMCvvpimqdjYWL+OdW6nvm9WqzXoAY1ACCBUEAgBuFVSUqJHHnlEXbp0UWxsrNLT0zV69Ggd\\\n",
       "OXKkymNfeukltWrVSlFRUerbt682b97ssL+wsFDjxo1TUlKS4uLidNNNNzEBhgexsbGVjtTVhPDw\\\n",
       "cIcL37vuusulTkFBga688kpJ5y+k09PTtW/fPpcZMMu39evX1/Tb8Js/i8oHenH7QM5MCu8QCAGE\\\n",
       "CgIhALcKCgq0detWPf7449q6dav+/e9/a9euXRo6dGilxy1ZskSTJk3StGnTtHXrVnXr1k0ZGRk6\\\n",
       "fvy4vc6DDz6o999/X0uXLtWaNWt05MgR3XjjjcF+S/XS2bNnVVJSYg9SgRghCobo6Gif6vfr10+m\\\n",
       "adZ62PXGL37xC5+PadGiRRB64h/TNLV9+3adPn2aYAkAcFH3fxMDqBWJiYkuM03Onz9fl156qQ4c\\\n",
       "OODxgnfOnDm6++67dfvtt0uSFixYoA8//FB///vfNWXKFOXk5Oi1117TokWLdPXVV0uSXn/9dXXo\\\n",
       "0EEbN27UZZddFtw3Vs/l5ub69VxbXXXs2DElJSXVdjcqtWXLltrugjZt2uT3v43w8HCHIMgziN5h\\\n",
       "YXoAoYIRQgBey8nJkWEYatCggdv9xcXFyszM1ODBg+1lFotFgwcP1oYNGyRJmZmZKikpcajTvn17\\\n",
       "tWjRwl4HnlksFmVmZtZ2NwKmUaNGtd2FKpWUlNR2F9SvXz+FhYXphRde8GmUz2KxMCroJ24ZBRAq\\\n",
       "CIQAvFJYWKhHHnlEI0aMUEJCgts6J0+eVFlZmVJTUx3KU1NTlZWVJUnKyspSZGSkS6isWMedoqIi\\\n",
       "5ebmOmyhqmfPnmrSpEltd8NBdS6I8/Pz3ZY/9thj9ltl3Y2Kuns2MVgX5lXdKu0sGP2w2WyaNGmS\\\n",
       "wsLCZBiGPv300yqPYTSwegiDAEIBgRCAJGnhwoWKi4uzb2vXrrXvKykp0a233irTNPXKK6/USv9m\\\n",
       "zZqlxMRE+9a8efNa6UddceTIEVksdet/4f6G1JiYGLflTz75pP1r51G63bt3uz3GeUbUQHn//fe9\\\n",
       "rltTAeGXv/xljZwnVNXkCCHhEkBtqltXEwBqzdChQ/XNN9/Yt969e0v6Xxjcv3+/Vq5c6XF0UDq/\\\n",
       "AHZYWJjLjKHHjh1TWlqaJCktLU3FxcXKzs72WMedqVOnKicnx74dPHjQz3d64SgrK1NZWZl69OhR\\\n",
       "212RdH70t7S0NChtO18oX3TRRV7VCyRvbr2s6Qv6OXPmeNznaeQV3qmpQEgIBFDbCIQAJEnx8fFq\\\n",
       "27atfYuOjraHwd27d+vTTz+tcvKPyMhI9erVS6tWrbKX2Ww2rVq1Sv369ZMk9erVSxEREQ51du3a\\\n",
       "pQMHDtjruGO1WpWQkOCw4fwzYlu3bpVpmn6vbxdIERERQWnXebH306dPe6wbrAtsq9XqcV9xcXGt\\\n",
       "XNg/+eST+r//+z81btxYVqtVrVq10uuvv67LL79ccXFxNd6fC0lNBMLk5OQA9xoAfEcgBOBWSUmJ\\\n",
       "br75Zm3ZskULFy5UWVmZsrKylJWVpeLiYnu9QYMGaf78+fbXkyZN0t/+9jf94x//0M6dO3Xfffcp\\\n",
       "Pz/fPutoYmKi7rzzTk2aNEmrV69WZmambr/9dvXr148ZRt2IiIhQTEyM/vCHP1RZNzo62u0agTXN\\\n",
       "3VqViYmJ9gvnhx9+2GHf999/77Ydi8Wi4uJivfrqq1qyZInDvo4dO3o8f2Fhocd91QltpaWl+vbb\\\n",
       "b13KmzVrVmlYDIaWLVsqJydHb7/9tlasWKETJ06ouLhY+/fv1x133MEETbUkLy/P4Y9W5WtzenLq\\\n",
       "1ClJPOsJoHYRCAG4dfjwYf3nP//RoUOH1L17dzVp0sS+VVxUfM+ePTp58qT99fDhw/Xcc8/piSee\\\n",
       "UPfu3fXNN99oxYoVDhPNvPDCC7ruuut000036aqrrlJaWpr+/e9/1+j7qy9KS0t17tw5Pf/88zIM\\\n",
       "Q3369Km0/oIFC2qoZ541bdrU4bXNZnOYBOi5556TYRhKSkpScnKyOnfu7LYd0zRltVp19913u+w7\\\n",
       "ceKEx/NHRkbq5MmTCgsLU2RkpE6cOGGfdMZms9m/9mcNxO7du8tisah169YKDw+XYRg6fPiwz+1I\\\n",
       "54NkeV9++uknr44JDw+XaZrat2+fEhISdO211/p1blTN3xHCvLw8+7Zu3bpK25fOTxIFALWJdQgB\\\n",
       "uNWqVSuv/mq9b98+l7Lx48dr/PjxHo+JiorSSy+9pJdeeqk6XQxJW7ZsUU5OjhITE93ur4nbRlu1\\\n",
       "aqV//OMfGjRokFfPDFb8g0FFld32WV1JSUlV9q2kpESdOnXSjh07fGq7PJBVR1pamsNzsG3atNGL\\\n",
       "L76oBx54wOMxkZGRKioqcinv1KmTx1FW+M/fdQjj4+PtX3fr1q3K+hfSMjIA6idGCAGgnvG0DqQk\\\n",
       "3XjjjUE9t2ma2rt3r6666iqVlJR4tY5gXV5rsLaC1NGjR13KJkyYUOkx7sKgJG3dujUgfYIjf0YI\\\n",
       "4+PjHZbGqThbc1Xnqfh69uzZQXtfAOCMQAgAF5DPP/88aG23atXKpczT6F9F/tyaWZNq+vm/QIuM\\\n",
       "jKztLlyQgjmpTGV/1JGkRx55pBo9BwDf1O3f0gAQ4nydbMJ5vb5gMwzDqz7W5UkzKpuEpqb5+znV\\\n",
       "5c+3vvL3llFvnDlzxmMbfC8B1DRGCAEAAAAgRDFCCAAA4CSYI4TuMDIIoLYQCAEAAJzUdCAEgNpC\\\n",
       "IAQAAHBCIAQQKgiEAAAATgiEAEIFgRAAAMAJgRBAqGCWUQAAAAAIUYwQAgAAOGGEEECoIBACAAA4\\\n",
       "IRACCBUEQgAAACcEQgChgkAIAADghEAIIFQQCAEAANwg6AEIBcwyCgAAAAAhihFCAAAAJ9wyCiBU\\\n",
       "EAgBAACcEAgBhAoCIQAAgBMCIYBQQSAEAABwQiAEECoIhAAAAE4IhABCBYEQAADACYEQQKhg2QkA\\\n",
       "AAAACFGMEAIAADhhhBBAqCAQAgAAOCEQAggVBEIAAAAnBEIAoYJACAAA4IRACCBUEAgBAACcEAgB\\\n",
       "hApmGQUAAACAEMUIIQAAgBNGCAGECgIhAACAEwIhgFBBIAQAAHBCIAQQKgiEAAAATgiEAEIFgRAA\\\n",
       "AMAJgRBAqGCWUQAAAAAIUYwQAgAAOGGEEECoIBACAAC4QdADEAoIhAAAAE4YIQQQKgiEAAAATgiE\\\n",
       "AEIFgRAAAMAJgRBAqCAQAgAAOCEQAggVLDsBAAAAACGKEUIAAAAnjBACCBUEQgAAACcEQgChgkAI\\\n",
       "AADghEAIIFQQCAEAAJwQCAGECgIhAACAEwIhgFDBLKMAAAAAEKIYIQQAAHASzBFCT/VN0/SpHQAI\\\n",
       "BEYIAQAAnJQHQm+3QEhPTw9IOwDgC0YIAQAAnARzhNB5JLD8+KNHj/rUDgAEAoEQwAVvxowZtd0F\\\n",
       "APWMP4EwLy9PCQkJ9vJu3bpp7dq1QekfAAQKgRAAAMCJvyOEeXl59q/XrVtX5bGLFi2yf80zhABq\\\n",
       "A4EQAAAgQOLj4+1fd+vWrcr6I0eODGZ3AKBKBEIAAAAn/owQxsfHKzc316dzlGN0EEBtYZZRAF65\\\n",
       "9957ZRiG5s6dW2Xdl156Sa1atVJUVJT69u2rzZs3O+wvLCzUuHHjlJSUpLi4ON100006duxYkHoO\\\n",
       "AL4L5iyj27ZtIwwCqDMIhACq9N5772njxo1eTYm+ZMkSTZo0SdOmTdPWrVvVrVs3ZWRk6Pjx4/Y6\\\n",
       "Dz74oN5//30tXbpUa9as0ZEjR3TjjTcG8y0AgE+CGQi7du3q9lwdOnQI5FsAAK8QCAFU6vDhw7r/\\\n",
       "/vu1cOFCRUREVFl/zpw5uvvuu3X77berY8eOWrBggWJiYvT3v/9dkpSTk6PXXntNc+bM0dVXX61e\\\n",
       "vXrp9ddf1/r167Vx48Zgvx0A8FpNrkEoST/88EPA2gIAbxEIAXhks9l022236eGHH1anTp2qrF9c\\\n",
       "XKzMzEwNHjzYXmaxWDR48GBt2LBBkpSZmamSkhKHOu3bt1eLFi3sdQCgtgVzhNA0TY8bANQ0JpUB\\\n",
       "4NHs2bMVHh6uCRMmeFX/5MmTKisrU2pqqkN5amqq/S/fWVlZioyMVIMGDVzqZGVleWy7qKhIRUVF\\\n",
       "9te+TNwAAAAA9xghBCBJWrhwoeLi4uzbmjVr9OKLL+qNN94I6C1R/po1a5YSExPtW/PmzWu7SwAu\\\n",
       "YMEcIQSAuoRACECSNHToUH3zzTf2bf369Tp+/LhatGih8PBwhYeHa//+/XrooYfUqlUrt20kJycr\\\n",
       "LCzMZcbQY8eOKS0tTZKUlpam4uJiZWdne6zjztSpU5WTk2PfDh48WK33CwCVIRACCBXcMgpA0vn1\\\n",
       "syouqHzPPffo+uuvd6iTkZGh2267TbfffrvbNiIjI9WrVy+tWrVKw4YNk3T+OcRVq1Zp/PjxkqRe\\\n",
       "vXopIiJCq1at0k033SRJ2rVrlw4cOKB+/fp57J/VapXVaq3OWwQAr/mzDiEA1EcEQgBuJSUlKSkp\\\n",
       "yaEsIiJCaWlpuuSSS+xlgwYN0q9//Wt74Js0aZLGjBmj3r1769JLL9XcuXOVn59vD5GJiYm68847\\\n",
       "NWnSJDVq1EgJCQm6//771a9fP1122WU19wYBoBIEQgChgkAIoFr27NmjkydP2l8PHz5cJ06c0BNP\\\n",
       "PKGsrCx1795dK1ascJho5oUXXpDFYtFNN92koqIiZWRk6OWXX66N7gOAWwRCAKHCMJnjGEA9lJub\\\n",
       "qzlz5nAhBsCt6dOnKycnRwkJCT4dl5CQoLy8PB05csTrY3Nzc5Wenq74+HhmQAZQ7zCpDAAAAACE\\\n",
       "KG4ZBQAAcMItowBCBYEQAADACYEQQKggEAIAADghEAIIFQRCAAAAJwRCAKGCQAgAAOCEQAggVDDL\\\n",
       "KAAAAACEKEYIAQAAnDBCCCBUEAgBAACcEAgBhAoCIQAAgBMCIYBQQSAEAABwQiAEECoIhAAAAE4I\\\n",
       "hABCBbOMAgAAAECIYoQQQL1kmmZtdwFAHVed/0/k5eV5PfKXl5fn93kAoLYZJldVAOqhQ4cOqXnz\\\n",
       "5rXdDQB12MGDB9WsWTOfjunVq5e2bt3q1/l69uypzMxMv44FgNpCIARQL9lsNh05ckTx8fEh/fxO\\\n",
       "bm6umjdvroMHDyohIaG2u1Nr+BzO43M4zzRN5eXlKT09XRaL70/H9OrVS7t37/bpmHbt2hEGAdRL\\\n",
       "BEIAqMdyc3OVmJionJyckA4AfA7n8TkAAHzFpDIAAAAAEKIIhAAAAAAQogiEAFCPWa1WTZs2TVar\\\n",
       "tba7Uqv4HM7jcwAA+IpnCAEAAAAgRDFCCAAAAAAhikAIAAAAACGKQAgAAAAAIYpACAB1SElJiR55\\\n",
       "5BF16dJFsbGxSk9P1+jRo3XkyJEqj33ppZfUqlUrRUVFqW/fvtq8ebPD/sLCQo0bN05JSUmKi4vT\\\n",
       "TTfdpGPHjgXrrVRLVe/F2dKlS9W+fXtFRUWpS5cu+uijjxz2m6apJ554Qk2aNFF0dLQGDx7s88Lj\\\n",
       "NW3WrFnq06eP4uPj1bhxYw0bNky7du2q8rgL8bMAAAQPgRAA6pCCggJt3bpVjz/+uLZu3ap///vf\\\n",
       "2rVrl4YOHVrpcUuWLNGkSZM0bdo0bd26Vd26dVNGRoaOHz9ur/Pggw/q/fff19KlS7VmzRodOXJE\\\n",
       "N954Y7Dfks+8eS8VrV+/XiNGjNCdd96pr7/+WsOGDdOwYcO0fft2e51nn31W8+bN04IFC7Rp0ybF\\\n",
       "xsYqIyNDhYWFNfW2fLZmzRqNGzdOGzdu1MqVK1VSUqJrrrlG+fn5Ho+5UD8LAEAQmQCAOm3z5s2m\\\n",
       "JHP//v0e61x66aXmuHHj7K/LysrM9PR0c9asWaZpmmZ2drYZERFhLl261F5n586dpiRzw4YNweu8\\\n",
       "H6p6L85uvfVWc8iQIQ5lffv2NX/3u9+ZpmmaNpvNTEtLM//85z/b92dnZ5tWq9V8++23g/AOguP4\\\n",
       "8eOmJHPNmjUe64TKZwEACBxGCAGgjsvJyZFhGGrQoIHb/cXFxcrMzNTgwYPtZRaLRYMHD9aGDRsk\\\n",
       "SZmZmSopKXGo0759e7Vo0cJepy7w5r0427Bhg0N9ScrIyLDX37t3r7KyshzqJCYmqm/fvnXqvVcl\\\n",
       "JydHktSoUSOPdULlswAABA6BEADqsMLCQj3yyCMaMWKEEhIS3NY5efKkysrKlJqa6lCempqqrKws\\\n",
       "SVJWVpYiIyNdQmXFOnWBN+/FWVZWVpXvvbzM2zbrGpvNpokTJ+qKK65Q586dPdYLhc8CABBYBEIA\\\n",
       "qEULFy5UXFycfVu7dq19X0lJiW699VaZpqlXXnmlFnuJ2jZu3Dht375dixcvru2uAAAuMOG13QEA\\\n",
       "CGVDhw5V37597a+bNm0q6X9hcP/+/frss888jg5KUnJyssLCwlxmDD127JjS0tIkSWlpaSouLlZ2\\\n",
       "drbDKGHFOnWBN+/FWVpaWpXvvbysSZMmDnW6d+8ewN4Hx/jx4/XBBx/oiy++ULNmzSqte6F/FgCA\\\n",
       "wGOEEABqUXx8vNq2bWvfoqOj7WFw9+7d+vTTT5WUlFRpG5GRkerVq5dWrVplL7PZbFq1apX69esn\\\n",
       "SerVq5ciIiIc6uzatUsHDhyw16kLvHkvzvr16+dQX5JWrlxpr9+6dWulpaU51MnNzdWmTZvq1Ht3\\\n",
       "Zpqmxo8fr/fee0+fffaZWrduXeUxF+pnAQAIotqe1QYA8D/FxcXm0KFDzWbNmpnffPONefToUftW\\\n",
       "VFRkr3f11Vebf/nLX+yvFy9ebFqtVvONN94wd+zYYd5zzz1mgwYNzKysLHude++912zRooX52Wef\\\n",
       "mVu2bDH79etn9uvXr0bfnzeqei+33XabOWXKFHv9L7/80gwPDzefe+45c+fOnea0adPMiIgIc9u2\\\n",
       "bfY6zzzzjNmgQQNz+fLl5nfffWfecMMNZuvWrc1z587V+Pvz1n333WcmJiaan3/+ucPPQUFBgb1O\\\n",
       "qHwWAIDgIRACQB2yd+9eU5LbbfXq1fZ6LVu2NKdNm+Zw7F/+8hezRYsWZmRkpHnppZeaGzdudNh/\\\n",
       "7tw58/e//73ZsGFDMyYmxvz1r39tHj16tAbele8qey8DBgwwx4wZ41D/nXfeMS+++GIzMjLS7NSp\\\n",
       "k/nhhx867LfZbObjjz9upqammlar1Rw0aJC5a9eumngrfvP0c/D666/b64TKZwEACB7DNE2zdsYm\\\n",
       "AQAAAAC1iWcIAQAAACBEEQgBAAAAIEQRCAEAAAAgRBEIAQAAACBEEQgBAAAAIEQRCAEAAAAgRBEI\\\n",
       "AQAAACBEEQgBAAAAIEQRCAEA9cJrr72ma665JujnWbFihbp37y6bzRb0cwEAUNsIhACAOq+wsFCP\\\n",
       "P/64pk2bFvRzXXvttYqIiNDChQuDfi4AAGobgRAAUOe9++67SkhI0BVXXFEj5xs7dqzmzZtXI+cC\\\n",
       "AKA2EQgBADXmxIkTSktL09NPP20vW79+vSIjI7Vq1SqPxy1evFjXX3+9Q9nAgQM1ceJEh7Jhw4Zp\\\n",
       "7Nix9tetWrXSU089pdGjRysuLk4tW7bUf/7zH504cUI33HCD4uLi1LVrV23ZssWhneuvv15btmzR\\\n",
       "nj17/H+zAADUAwRCAECNSUlJ0d///ndNnz5dW7ZsUV5enm677TaNHz9egwYN8njcunXr1Lt3b7/O\\\n",
       "+cILL+iKK67Q119/rSFDhui2227T6NGjNWrUKG3dulVt2rTR6NGjZZqm/ZgWLVooNTVVa9eu9euc\\\n",
       "AADUFwRCAECN+tWvfqW7775bI0eO1L333qvY2FjNmjXLY/3s7Gzl5OQoPT3d7/P97ne/U7t27fTE\\\n",
       "E08oNzdXffr00S233KKLL75YjzzyiHbu3Kljx445HJeenq79+/f7dU4AAOoLAiEAoMY999xzKi0t\\\n",
       "1dKlS7Vw4UJZrVaPdc+dOydJioqK8utcXbt2tX+dmpoqSerSpYtL2fHjxx2Oi46OVkFBgV/nBACg\\\n",
       "viAQAgBq3J49e3TkyBHZbDbt27ev0rpJSUkyDENnzpypst2ysjKXsoiICPvXhmF4LHNeZuL06dNK\\\n",
       "SUmp8pwAANRnBEIAQI0qLi7WqFGjNHz4cD355JO66667XEbnKoqMjFTHjh21Y8cOl33Ot3n+/PPP\\\n",
       "AeljYWGh9uzZox49egSkPQAA6ioCIQCgRv3xj39UTk6O5s2bp0ceeUQXX3yx7rjjjkqPycjI0Lp1\\\n",
       "61zKly9frn//+9/as2eP/vSnP2nHjh3av3+/Dh8+XK0+bty4UVarVf369atWOwAA1HUEQgBAjfn8\\\n",
       "8881d+5cvfXWW0pISJDFYtFbb72ltWvX6pVXXvF43J133qmPPvpIOTk5DuVDhgzRs88+q44dO+qL\\\n",
       "L77Qyy+/rM2bN+utt96qVj/ffvttjRw5UjExMdVqBwCAus4wK86zDQBAHXXLLbeoZ8+emjp1qqTz\\\n",
       "6xB2795dc+fODeh5Tp48qUsuuURbtmxR69atA9o2AAB1DSOEAIB64c9//rPi4uKCfp59+/bp5Zdf\\\n",
       "JgwCAEICI4QAgHopWCOEAACEEgIhAAAAAIQobhkFAAAAgBBFIAQAAACAEEUgBAAAAIAQRSAEAAAA\\\n",
       "gBBFIAQAAACAEEUgBAAAAIAQRSAEAAAAgBBFIAQAAACAEEUgBAAAAIAQRSAEAAAAgBBFIAQAAACA\\\n",
       "EEUgBAAAAIAQRSAEAAAAgBBFIAQAAACAEPX/AUi3dzJi0n5ZAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[44] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAaOFJREFUeJzt3Xl4VNXhxvH3Zg+ZkECAhLAIAoooEGQTl+KCxoog1aKlyqIo\\\n",
       "SkFFaqVYBUErrogWkLpiFQXpr4KKpSIuKKtsWgERBQGBENbs+9zfHzy5ZbZkZjKTSTLfz/PM08y5\\\n",
       "5557ZsBy35xzzzFM0zQFAAAAAAg7EaHuAAAAAAAgNAiEAAAAABCmCIQAAAAAEKYIhAAAAAAQpgiE\\\n",
       "AAAAABCmCIQAAAAAEKYIhAAAAAAQpgiEAAAAABCmCIQAAAAAEKYIhAAAAAAQpgiEAAAAABCmCIQA\\\n",
       "AAAAEKYIhAAAAAAQpgiEAAAAABCmCIQAAL98/vnnMgxDn3/+eai7ggDbsGGDYmJitHfv3lq/9rFj\\\n",
       "x5SQkKCPPvqo1q8NAOGIQAgAqNLcuXM1f/78UHfDL2+//bZmzZoV6m5Ikux2u5566im1b99ecXFx\\\n",
       "6tatm9555x2vzz958qTGjBmj5s2bKyEhQZdddpk2b97sUm/RokW65ZZb1KlTJxmGoUsvvdTnvv7l\\\n",
       "L3/RsGHDdMYZZ/h8bk2lpKTo9ttv18MPP1zr1waAcGSYpmmGuhMAgLrrvPPOU7NmzVxGAu12u0pL\\\n",
       "SxUTE6OIiLr5+8Vrr71W3333nX7++edQd0WTJ0/WE088oTvuuEO9e/fW0qVLtWzZMr3zzjv63e9+\\\n",
       "V+W5drtdl1xyib755hv96U9/UrNmzTR37lzt379fmzZtUqdOnay6l156qTZt2qTevXtr69at6tat\\\n",
       "m0+juFu3blWPHj20Zs0a9evXz9+PWyM7duxQly5dtHLlSl1++eUh6QMAhAsCIQB4oaCgQAkJCaHu\\\n",
       "Rkh4CoT1QV0JhAcOHFD79u01ZswYzZ49W5Jkmqb69++vPXv26Oeff1ZkZKTH8999913ddNNNWrx4\\\n",
       "sX77299Kko4cOaKzzjpLv/71r/X2229bdffv369WrVopIiLCrz+7e++9V0uWLNHPP/8swzD8+8AB\\\n",
       "0LVrV/Xo0UP/+Mc/QtYHAAgHdfNXugAQRAcOHNDo0aOVnp6u2NhYtW/fXmPHjlVpaakkaf78+TIM\\\n",
       "Q1988YX+8Ic/qEWLFmrdurV1/ty5c3XuuecqNjZW6enpGjdunE6ePOlwjV27dumGG25QWlqa4uLi\\\n",
       "1Lp1a/3ud79TTk6OVWfFihW6+OKLlZycLJvNprPPPlsPPvhgtf335rySkhJNnTpVHTt2VGxsrNq0\\\n",
       "aaMHHnhAJSUlLu299dZb6tOnjxo1aqQmTZroV7/6lT7++GNJUrt27bRt2zZ98cUXMgzDYQqip2cI\\\n",
       "Fy9erJ49eyo+Pl7NmjXTLbfcogMHDjjUGTVqlGw2mw4cOKAhQ4bIZrOpefPmuv/++1VRUVHtd7B0\\\n",
       "6VINHDjQ+jPs0KGDHn30UYdzL730Ui1btkx79+61+t6uXTuPbY4aNcqq5/x65JFHqu1Tdf0tKyvT\\\n",
       "H/7wB6vMMAyNHTtWv/zyi9auXVvl+f/85z+Vmpqq66+/3ipr3ry5brzxRi1dutThz7VNmzY1GrFd\\\n",
       "smSJLr/8cpcw6Ol7aNeunUaNGmW9r/zv56uvvtI999yj5s2bKzk5WXfeeadKS0t18uRJjRgxQk2a\\\n",
       "NFGTJk30wAMPyN3vpq+88kp98MEHbo8BAAInKtQdAIDadPDgQfXp08d6Hqtz5846cOCA/vnPf6qw\\\n",
       "sFAxMTFW3T/84Q9q3ry5pkyZooKCAknSI488omnTpmnAgAEaO3asdu7cqRdffFFff/21Vq9erejo\\\n",
       "aJWWliozM1MlJSW6++67lZaWpgMHDujDDz/UyZMnlZSUpG3btunaa69Vt27dNH36dMXGxurHH3/U\\\n",
       "6tWrq+y/N+fZ7XYNHjxYX331lcaMGaNzzjlH//3vf/Xcc8/phx9+0JIlS6y606ZN0yOPPKILL7xQ\\\n",
       "06dPV0xMjNavX69PP/1UV111lWbNmqW7775bNptNf/nLXyRJqampHvs3f/583Xrrrerdu7dmzJih\\\n",
       "w4cP6/nnn9fq1au1ZcsWJScnW3UrKiqUmZmpvn376plnntEnn3yiZ599Vh06dNDYsWOr/B7mz58v\\\n",
       "m82miRMnymaz6dNPP9WUKVOUm5urp59+WtKp5+BycnL0yy+/6LnnnpMk2Ww2j23eeeedGjBggEPZ\\\n",
       "8uXLtWDBArVo0cIqO3r0aJV9q5SYmKjY2FhJ0pYtW5SQkKBzzjnHoU6fPn2s4xdffLHHtrZs2aLz\\\n",
       "zz/fJej16dNHL730kn744Qd17drVq35V5cCBA9q3b5/OP//8GrdV+Xd/2rRpWrdunV566SUlJydr\\\n",
       "zZo1atu2rR5//HF99NFHevrpp3XeeedpxIgRDuf37NlTzz33nLZt26bzzjuvxv0BAHhgAkAYGTFi\\\n",
       "hBkREWF+/fXXLsfsdrtpmqb5+uuvm5LMiy++2CwvL7eOZ2dnmzExMeZVV11lVlRUWOWzZ882JZmv\\\n",
       "vfaaaZqmuWXLFlOSuXjxYo/9eO6550xJ5pEjR3zqvzfnvfnmm2ZERIT55ZdfOpTPmzfPlGSuXr3a\\\n",
       "NE3T3LVrlxkREWH+5je/cfg8pvm/78I0TfPcc881+/fv73Kdzz77zJRkfvbZZ6ZpmmZpaanZokUL\\\n",
       "87zzzjOLioqseh9++KEpyZwyZYpVNnLkSFOSOX36dIc2e/ToYfbs2bPqL8E0zcLCQpeyO++802zU\\\n",
       "qJFZXFxslQ0cONA844wzqm3PnV27dplJSUnmlVde6fD3QJJXr9dff92hH2eeeabLNQoKCkxJ5p//\\\n",
       "/Ocq+5KQkGDedtttLuXLli0zJZnLly93e56nPztPPvnkE1OS+cEHH7gck2ROnTrVpfyMM84wR44c\\\n",
       "ab2v/O8nMzPT4e9Rv379TMMwzLvuussqKy8vN1u3bu22j2vWrDElmYsWLfK6/wAA3zFlFEDYsNvt\\\n",
       "WrJkiQYNGqRevXq5HHeeInfHHXc4PNf1ySefqLS0VBMmTHAYqbnjjjvUuHFjLVu2TJKUlJQkSfrP\\\n",
       "f/6jwsJCt32pHClbunSp7Ha715/Bm/MWL16sc845R507d9bRo0etV+XiHJ999pmkU1MD7Xa7pkyZ\\\n",
       "4jLy5M+zYxs3blR2drb+8Ic/KC4uziofOHCgOnfubH0/p7vrrrsc3l9yySXavXt3tdeKj4+3fs7L\\\n",
       "y9PRo0d1ySWXqLCwUN9//73PfXdWUFCg3/zmN2rSpIneeecdh78HK1as8OqVmZlpnVNUVGSNFp6u\\\n",
       "8nsqKiqqsj81Pd9bx44dkyQ1adKkxm2NHj3a4e9R3759ZZqmRo8ebZVFRkaqV69ebv/MK/vg7Ygs\\\n",
       "AMA/TBkFEDaOHDmi3Nxcr6eftW/f3uF95Z5sZ599tkN5TEyMzjzzTOt4+/btNXHiRM2cOVMLFizQ\\\n",
       "JZdcosGDB+uWW26xwuJNN92kV155Rbfffrv+/Oc/64orrtD111+v3/72t1U+/+XNebt27dKOHTvU\\\n",
       "vHlzt21kZ2dLkn766SdFRESoS5cuXn0f1fH0/UhS586d9dVXXzmUxcXFufSxSZMmOnHiRLXX2rZt\\\n",
       "mx566CF9+umnys3NdTh2+nOa/rrjjjv0008/ac2aNUpJSXE45jyt1Bvx8fFun98sLi62jgfzfF+Z\\\n",
       "AXhur23btg7vK//ut2nTxqXc3Z95ZR9CubANAIQDAiEAeFCTm+xnn31Wo0aN0tKlS/Xxxx/rnnvu\\\n",
       "0YwZM7Ru3Tq1bt1a8fHxWrVqlT777DMtW7ZMy5cv16JFi3T55Zfr448/9rjipDfn2e12de3aVTNn\\\n",
       "znTbhvMNeahUtapmVU6ePKn+/furcePGmj59ujp06KC4uDht3rxZkyZN8mnE1Z3nn39e77zzjt56\\\n",
       "6y1lZGS4HM/KyvKqnaSkJOvvUMuWLfXZZ5/JNE2HgHPo0CFJUnp6epVttWzZ0qp7Om/P91Zl+PUm\\\n",
       "lFfyFB49/fm6K3fXRmUfmjVr5nVfAAC+Y8oogLDRvHlzNW7cWN99951f51du0r1z506H8tLSUu3Z\\\n",
       "s8dlE++uXbvqoYce0qpVq/Tll1/qwIEDmjdvnnU8IiJCV1xxhWbOnKnt27frr3/9qz799FNrSqcn\\\n",
       "1Z3XoUMHHT9+XFdccYUGDBjg8qocwevQoYPsdru2b99e5fW8HaHx9P1UlgVqk/PPP/9cx44d0/z5\\\n",
       "83Xvvffq2muv1YABA9xOc/R1dOnLL7/U/fffrwkTJujmm292W6dly5ZevRYtWmSdk5GRocLCQu3Y\\\n",
       "scOhrfXr11vHq5KRkaHNmze7hN3169erUaNGOuuss3z6nJ507txZkrRnzx63x/Py8lzKKkecA62y\\\n",
       "D84L8QAAAotACCBsREREaMiQIfrggw+0ceNGl+PVTZMbMGCAYmJi9MILLzjUffXVV5WTk6OBAwdK\\\n",
       "knJzc1VeXu5wbteuXRUREWFN+zt+/LhL+5WhwN3UwErenHfjjTfqwIEDevnll13qFhUVWSumDhky\\\n",
       "RBEREZo+fbpL0Dj98yUkJLhsq+FOr1691KJFC82bN8/hM/z73//Wjh07rO+npipHmE7vY2lpqebO\\\n",
       "netSNyEhwesppIcOHdKNN96oiy++2Fqp1B1/niG87rrrFB0d7dBH0zQ1b948tWrVShdeeKFDP77/\\\n",
       "/nuVlZVZZb/97W91+PBh/etf/7LKjh49qsWLF2vQoEFuny/0R6tWrdSmTRu3/31Ictli5N///reK\\\n",
       "i4uDsjXEpk2blJSUpHPPPTfgbQMA/ocpowDCyuOPP66PP/5Y/fv3t7ZkOHTokBYvXqyvvvrKYVsE\\\n",
       "Z82bN9fkyZM1bdo0XX311Ro8eLB27typuXPnqnfv3rrlllskSZ9++qnGjx+voUOH6qyzzlJ5ebne\\\n",
       "fPNNRUZG6oYbbpAkTZ8+XatWrdLAgQN1xhlnKDs7W3PnzlXr1q2r3H7Am/OGDx+ud999V3fddZc+\\\n",
       "++wzXXTRRaqoqND333+vd999V//5z3/Uq1cvdezYUX/5y1/06KOP6pJLLtH111+v2NhYff3110pP\\\n",
       "T9eMGTMknVr+/8UXX9Rjjz2mjh07qkWLFtYCNaeLjo7Wk08+qVtvvVX9+/fXsGHDrG0n2rVrp/vu\\\n",
       "u8/fPzYHF154oZo0aaKRI0fqnnvukWEYevPNN92Gkp49e2rRokWaOHGievfuLZvNpkGDBrlt9557\\\n",
       "7tGRI0f0wAMPaOHChQ7HunXrpm7dukny7xnC1q1ba8KECXr66adVVlam3r17a8mSJfryyy+1YMEC\\\n",
       "h2mUkydP1htvvKE9e/ZY+yb+9re/1QUXXKBbb71V27dvV7NmzTR37lxVVFRo2rRpDtdatWqVVq1a\\\n",
       "JenUc7MFBQV67LHHJEm/+tWv9Ktf/arKvl533XV67733XKa3StKOHTt0zTXXaPDgwTp48KCef/55\\\n",
       "JSUlac2aNXrnnXc0bNgwn78bT1asWKFBgwbxDCEABFsoljYFgFDau3evOWLECLN58+ZmbGyseeaZ\\\n",
       "Z5rjxo0zS0pKTNP837L57ramMM1T20x07tzZjI6ONlNTU82xY8eaJ06csI7v3r3bvO2228wOHTqY\\\n",
       "cXFxZtOmTc3LLrvM/OSTT6w6K1euNK+77jozPT3djImJMdPT081hw4aZP/zwQ5V99/a80tJS88kn\\\n",
       "nzTPPfdcMzY21mzSpInZs2dPc9q0aWZOTo5D3ddee83s0aOHVa9///7mihUrrONZWVnmwIEDzcTE\\\n",
       "RFOStUWA87YTlRYtWmS117RpU/Pmm282f/nlF4c6I0eONBMSElw+39SpU01v/mlavXq1ecEFF5jx\\\n",
       "8fFmenq6+cADD5j/+c9/XPqTn59v/v73vzeTk5NNSVVuQdG/f3+PW0i4227BVxUVFebjjz9unnHG\\\n",
       "GWZMTIx57rnnmm+99ZZLvcotOfbs2eNQfvz4cXP06NFmSkqK2ahRI7N///5u/45Wfof+fo7Nmzeb\\\n",
       "kly2LZFkTpw40Rw6dKgZHx9vtmzZ0pw9e7Y5b948s1GjRubtt99umqbn/34q++W8ZYq7vws7duww\\\n",
       "JTn8NwMACA7DNIMwzwMAANRbV1xxhdLT0/Xmm29aZYZhaOrUqXrkkUeCfv0JEyZo1apV2rRpEyOE\\\n",
       "ABBkPEMIAAAcPP7441q0aJG1lUhtOnbsmF555RU99thjhEEAqAU8QwgAABz07dtXpaWlIbl2SkqK\\\n",
       "8vPzQ3JtAAhHjBACAAAAQJhihBAAAFSLJQcAoGFihBAAAAAAwhSBEAAAAADCFFNGAdRLdrtdBw8e\\\n",
       "VGJiIisRAnBgmqby8vKUnp6uiAjff/fdo0cP/fjjjz6d07FjR23ZssXnawFAqLEPIYB66ZdfftEr\\\n",
       "r7wS6m4AqKOmTZum/fv3q3Xr1j6d16NHD23dutWva2ZkZBAKAdQ7jBACqJcSExMlidFBAB5V/v+E\\\n",
       "L3wdGfT3XHf/31X5O/rf//73euedd9yex+/xAQQagRBAvUQQBFCdmv7/hLfnBzqkLVmyJKDtAUBV\\\n",
       "CIQAAABODMPwKVD6GgpPr+98ncLCQrf9qfxfRgkBBBKrjAIAADipDITeviQpPz9fiYmJ1uuiiy4K\\\n",
       "eL9sNlvA2wQQ3hghBAAAcOLrCGGl/Px86+c1a9YEpC89evSwfs7LywtImwBQiUAIAADgxN9AePoI\\\n",
       "Xrdu3Wrcj9///vfWqqeMDgIIBgIhAACAE38Coc1mC+gInvNqo4wOAggGniEEAACoY5zDIAvJAAgW\\\n",
       "AiEAAIATfxaV8UVKSorLuZXv3e1DWHnsmmuuqfFnA4DTMWUUAADAib9Bz1vHjx/3eMzTpvSS9O9/\\\n",
       "/zsY3QEQxgiEAAAAToIdCJkCCqCuIBACAAA4CXYgBIC6gkAIAADghEAIIFywqAwAAAAAhClGCAEA\\\n",
       "AJwwQgggXDBCCMBrTzzxhAzD0IQJE6qst3jxYnXu3FlxcXHq2rWrPvroI4fjpmlqypQpatmypeLj\\\n",
       "4zVgwADt2rUriD0HAN8Ee9sJAKgrCIQAvPL111/r73//u7p161ZlvTVr1mjYsGEaPXq0tmzZoiFD\\\n",
       "hmjIkCH67rvvrDpPPfWUXnjhBc2bN0/r169XQkKCMjMzVVxcHOyPAQBeIRACCBcEQgDVys/P1803\\\n",
       "36yXX35ZTZo0qbLu888/r6uvvlp/+tOfdM455+jRRx/V+eefr9mzZ0s6NTo4a9YsPfTQQ7ruuuvU\\\n",
       "rVs3/eMf/9DBgwe1ZMmSWvg0AFA9AiGAcEEgBFCtcePGaeDAgRowYEC1ddeuXetSLzMzU2vXrpUk\\\n",
       "7dmzR1lZWQ51kpKS1LdvX6uOOyUlJcrNzXV4AUCwEAgBhAsCIYAqLVy4UJs3b9aMGTO8qp+VlaXU\\\n",
       "1FSHstTUVGVlZVnHK8s81XFnxowZSkpKsl5t2rTx5WMAAADADQIhAI/279+ve++9VwsWLFBcXFxI\\\n",
       "+zJ58mTl5ORYr/3794e0PwAaNkYIAYQLtp0A4NGmTZuUnZ2t888/3yqrqKjQqlWrNHv2bJWUlCgy\\\n",
       "MtLhnLS0NB0+fNih7PDhw0pLS7OOV5a1bNnSoU5GRobHvsTGxio2NramHwkAvELQAxAuGCEE4NEV\\\n",
       "V1yh//73v9q6dav16tWrl26++WZt3brVJQxKUr9+/bRy5UqHshUrVqhfv36SpPbt2ystLc2hTm5u\\\n",
       "rtavX2/VAYC6gNFBAOGAEUIAHiUmJuq8885zKEtISFBKSopVPmLECLVq1cp6xvDee+9V//799eyz\\\n",
       "z2rgwIFauHChNm7cqJdeekmSrH0MH3vsMXXq1Ent27fXww8/rPT0dA0ZMqRWPx8AeOJL2CMUAqjP\\\n",
       "CIQAamTfvn2KiPjfZIMLL7xQb7/9th566CE9+OCD6tSpk5YsWeIQLB944AEVFBRozJgxOnnypC6+\\\n",
       "+GItX7485M8pAkAlAiGAcGGYpmmGuhMA4Kvc3FzNnDmTGzEAbj3yyCPKyclR48aNfTovMTFR+fn5\\\n",
       "atasmcMvu6pit9t19OhR2Ww25eXl+dNdAAgZniEEAAAAgDDFlFEAAAAnTBkFEC4IhAAAAE4IhADC\\\n",
       "BYEQQIM3derUUHcBQABNmzYt6NcgEAIIFwRCAAAAJwRCAOGCQAgAAOCEQAggXLDKKAAAAACEKUYI\\\n",
       "AQAAnDBCCCBcEAgBAACcEAgBhAsCIQAAgBMCIYBwQSAEAABwQiAEEC4IhAAAAE4IhADCBauMAgAA\\\n",
       "AECYYoQQAADACSOEAMIFgRAAAMAJgRBAuCAQAgAAOCEQAggXBEIAAAAnBEIA4YJACAAA4AZBD0A4\\\n",
       "YJVRAAAAAAhTjBACAAA4YcoogHBBIAQAAHBCIAQQLgiEAAAATgiEAMIFgRAAAMAJgRBAuCAQAgAA\\\n",
       "OCEQAggXBEIAAAAnBEIA4YJtJwAAAAAgTDFCCAAA4IQRQgDhgkAIAADghEAIIFwwZRQAAMBJZSD0\\\n",
       "9hWI9k/37bffBuQ6AFAdAiEAAICTYAfC6nTv3t1teY8ePQJ+LQDhjSmjAAAAToI9ZdQ0TY/nf/vt\\\n",
       "ty71GjVqpKKiIm3dutXnawFAVRghBAAAqEPcjQ4WFhaGoCcAwgGBEAAAwIk/U0bz8/OVmJhovS66\\\n",
       "6KIQfwoAqB5TRgEAAJz4O2U0Pz/f+nnNmjUB7xcABBqBEAAAwIm/gdBms1k/d+vWLeD9AoBAIxAC\\\n",
       "AAA48ScQ2mw25eXl1fja33zzjctzhImJiTVuFwDcIRACAAA4CfYqoykpKTp+/LjbdqpagTQjI8Pn\\\n",
       "awFAVVhUBgAAoJY5h0Fn33zzjdvyLVu2BKM7AMIYI4QAAABOanMfQne6detWbR0ACAQCIQAAgBv+\\\n",
       "BD0AqG8IhAAAAE6CPUIIAHUFgRAAAMAJgRBAuCAQAgAAOCEQAggXBEIAAAAnBEIA4YJtJwAAAAAg\\\n",
       "TDFCCAAA4IQRQgDhgkAIAADghEAIIFwQCAEAAJwQCAGECwIhAACAEwIhgHBBIAQAAHBCIAQQLlhl\\\n",
       "FAAAAADCFCOEAFCHeRp5ME2zlnsSWjUZganuuwq30Z1w+7vjL0YIAYQLAiEA1DPhdvNpt9uD1nZe\\\n",
       "Xl7Q2kb9RiAEEC4IhABQz1RUVIS6C7UqNzfX73NLS0urPN64cWO/20bDRiAEEC4IhABQT0RFRam0\\\n",
       "tDTsbj7j4+OrPF75fThPhXzllVcUHR3t8bzmzZvXvHNosAiEAMIFi8oA8GjGjBnq3bu3EhMT1aJF\\\n",
       "Cw0ZMkQ7d+6s9rzFixerc+fOiouLU9euXfXRRx85HDdNU1OmTFHLli0VHx+vAQMGaNeuXcH6GPWa\\\n",
       "aZrWq6ysLCxvPGNjY92WG4Yh0zRlt9tlt9sdvivTNDV69GiPbebn5+vo0aM17lujRo2UmZmpFi1a\\\n",
       "1LitQLj11lutz//hhx+Gujv1WmUg9PYFAPUVgRCAR1988YXGjRundevWacWKFSorK9NVV12lgoIC\\\n",
       "j+esWbNGw4YN0+jRo7VlyxYNGTJEQ4YM0XfffWfVeeqpp/TCCy9o3rx5Wr9+vRISEpSZmani4uLa\\\n",
       "+Fioh06ePOnwfsyYMX4/W2i325WYmOh3X4qKiqzQVVBQoOXLl+vw4cMhX6zFNE299tpr1vuBAweG\\\n",
       "vE8AgLqPQAjAo+XLl2vUqFE699xz1b17d82fP1/79u3Tpk2bPJ7z/PPP6+qrr9af/vQnnXPOOXr0\\\n",
       "0Ud1/vnna/bs2ZJO3bTOmjVLDz30kK677jp169ZN//jHP3Tw4EEtWbKklj4Z6pukpCSH0b+///3v\\\n",
       "frXTo0cPRUZG+t0P0zQVFxfn8fg999zjd9s1sXv3bo/HgrkoT0PGCCGAcEEgBOC1nJwcSVLTpk09\\\n",
       "1lm7dq0GDBjgUJaZmam1a9dKkvbs2aOsrCyHOklJSerbt69Vx52SkhLl5uY6vFA/lJaW6siRIyHt\\\n",
       "wy+//CLDMLR169agXue5554LavuetG/f3uMxwzA0adKkWuxNw0AgBBAuCIQAvGK32zVhwgRddNFF\\\n",
       "Ou+88zzWy8rKUmpqqkNZamqqsrKyrOOVZZ7quDNjxgwlJSVZrzZt2vj7UVBLTNOUYRiKjY1VixYt\\\n",
       "QnbTbJpmQP6+9OrVq9o6ERG1/8+qN9NCn3jiCT388MO10JuGg0AIIFwQCAF4Zdy4cfruu++0cOHC\\\n",
       "kFx/8uTJysnJsV779+8PST/gPXfh6Mwzz6zynG+//Vbz588PaD+8nca5a9cua0qquwVnvv7664D2\\\n",
       "KxB8mQ46ffp0nin0EWEQQDggEAKo1vjx4/Xhhx/qs88+U+vWrausm5aWpsOHDzuUHT58WGlpadbx\\\n",
       "yjJPddyJjY1V48aNHV4InNTUVJdR25rwdJN84sSJKs/p3r27br31VhmGEbBn3/76179WeTwqKkqm\\\n",
       "aapjx45WWUpKikzTVL9+/RQXF6fCwkKvr/e3v/3Nr34uWbJEFRUVKi8v16xZs6qse+jQIWsEFsHB\\\n",
       "CCGAcEEgBOCRaZoaP3683nvvPX366adVPqdUqV+/flq5cqVD2YoVK9SvXz9Jp551SktLc6iTm5ur\\\n",
       "9evXW3VQ+44ePRqQbRgk6aGHHvJ47NChQ27LL7vsMpey6hZ/8fZmvHHjxh4XgpkwYYLKyso8nrtm\\\n",
       "zRoVFRVVuxfi6caPH+/TwjUtWrSQaZq67rrrFBERocjISN17770Oi+hUVFQ4vK/qlycAAPiCjekB\\\n",
       "eDRu3Di9/fbbWrp0qRITE61n/JKSkqwb5BEjRqhVq1aaMWOGJOnee+9V//799eyzz2rgwIFauHCh\\\n",
       "Nm7cqJdeeknSqZv4CRMm6LHHHlOnTp3Uvn17Pfzww0pPT9eQIUNC8jkhlZeX+1S/ffv22rt3rxIT\\\n",
       "E/Xjjz+qefPmMk1TTZo0sRYfcsdTMFu1apVP13cOgYZhqKSkRDExMW7rFxUVqaioSM2bN1dRUZHO\\\n",
       "P//8oE4BLS8vV2JiovLz86usZxiGy2i5O6F4NjHcsTE9gHBBIATg0YsvvihJuvTSSx3KX3/9dY0a\\\n",
       "NUqStG/fPoeb1QsvvFBvv/22HnroIT344IPq1KmTlixZ4rAQzQMPPKCCggKNGTNGJ0+e1MUXX6zl\\\n",
       "y5dXuZw/gsuXG9rT6+bm5gZkU/aMjAxt3rzZq7rXXnut2/LY2Ngqn5GLj4+vNqAFUl5entq2bVvl\\\n",
       "865sCVF3EQgBhAsCIQCPvFmA4vPPP3cpGzp0qIYOHerxHMMwNH36dE2fPr0m3UMIdOrUKSjtbtq0\\\n",
       "yeWmuqSkxG3dZcuWeWwnOTnZZRP7UNq3b59iY2NVWloa6q5YGkJ4mTx5ssfR4EAhEAIIF8xBAQB4\\\n",
       "7ccff6zR+QkJCR6PVS7skpSUJLvd7tcNf05OjgzD0FNPPVWTbgZUSUmJ22cKKyoqQtAbeItFZQCE\\\n",
       "CwIhAMAreXl5NW6jsLCwyufhdu3apZMnT9b4BnvSpEnWjXpdmJZZXl6udevWWe9zc3N5LrCOIxAC\\\n",
       "CBf8awQA8EqgtvowTVN33nmn3+f7ugCOLyt+BlPfvn2tVUITExOrrV9WVmaFjWBN1YVnBEIA4YJA\\\n",
       "CACodW+88Ybf50ZGRnp8vjCYavs5wNOnzP7444+Kjo6u1esDAMIDgRAAUK3LL788oO3VdM/DmJgY\\\n",
       "maapiy++OEA98iwxMVGGYSg2NlaGYXi12FJN7d2716WsvLxcR44ccVu/NvoUbhghBBAuCIQAgGqt\\\n",
       "Xr06YG0dOnRINpstIG19+eWX1T4jmJyc7Hf7FRUVLltVePPsX00DWnp6utvyFi1aqKyszHp/1VVX\\\n",
       "yTAMRUREyDAM5ebm1ui6+B8CIYBwQSAEAFRr1qxZXte98sorrWfl3L3S0tIC2rfKUbtjx465PX7i\\\n",
       "xAm/2/7yyy/dlntaYOdXv/qVQ0DzV1XTQ2NiYqwQsmLFCodjNQm/cEQgBBAuCIQAgGqNHTvWq3qm\\\n",
       "aerjjz8Ocm/ca9q0qUzT1KFDh3TzzTcrPz+/xiN1nqakultgp0+fPi4B8sEHH/TYdr9+/WQYhi65\\\n",
       "5BK3x/3pOyuXBg6BEEC44F8OAIBXTNPUyy+/7PbYNddcU2eeY0tLS9Nbb71V5Z6H3oqKivJ4rGnT\\\n",
       "ptbPLVu21Ndff+1SZ8aMGW7PbdKkibUNxVdffeUxyPn6ndb2wjcNGYEQQLggEAIAvHb77be7nQa6\\\n",
       "bNmyUHctaMaNG+e2/MSJE1YYyMrK8qnNkydPOryvKvh5u81GUVGR18831vdX5QI/BDQAqDkCIQAA\\\n",
       "VZg9e7bf5/bt29frup4Wx4mMjKzymcLKZyjj4uJ87h88Y4QQQLggEAIAECSV00Kd7du3z6WsqtE9\\\n",
       "T1NBZ82aVe0qq/APgRBAuCAQAgBqVeW+fpWviIgIrV+/PtTdkiRlZ2c79O3WW2/VO++843M71e1X\\\n",
       "2KZNG5WVlSkxMVHdunXz6lnBiooKKzSeccYZMk1T9957r899g3cIhADCheen5QEACDB3N86maeqC\\\n",
       "Cy5wW79ly5Y6cOBArdxwf/7557rsssscyubPn6/58+d73YZhGF6P2EVFRfm0b2BERIQqKiq8ro+a\\\n",
       "8SXoEQgB1GeMEAIA/OLrCpj+3DQfOnTI2tPv888/t647Z84cxcbGKjk5udp+2Gw26+Z++/btHus5\\\n",
       "h8HTefN83mWXXcb0zQaEEUIA4YJACADwybJlyxw2X+/SpUu15wTihvmyyy6zrjt+/HiVlpYqJydH\\\n",
       "ERERWrJkidtzIiMjVVBQYL0/99xzlZqa6lKvqsA3f/58FRUV6Y477vBYJy4uTp9++qn3HwYAgDqC\\\n",
       "QAgA8MrHH38swzB07bXXOpTv2LGjyvOq2ssvUH7zm9+4hM7rr7/e7Yhd5XOChYWFstvtstlsKikp\\\n",
       "cdvuE088oZEjR0qSXnrpJdlsNrf1ioqKquxfYWGh4uPj1bhx42rrom5ghBBAuCAQAgBcmKappk2b\\\n",
       "OtzwZmZmVlnfnZMnT9bqc2+GYahTp06KiIjQe++9V2XdhIQElxHE09lsNk2aNMmhLC8vz2ELiOoW\\\n",
       "j5Gk4uJiJSQkqLi4WHl5eWrUqJFX5yH0ghUGZ8yY4badb7/9NgifAgCqxqIyABAmtm3bprKyMnXv\\\n",
       "3r3Km9jo6GivN0Ov5Km95s2b+9ROIPz44481Or+6xVs8bQHhSaNGjTxeh1BYdwVzUZkHH3zQbXn3\\\n",
       "7t35OwGg1jFCCAAN3COPPCLDMHTeeeepR48e1rN/H374oUO9l19+WYZh+BwGq1Ib00UD6dxzzw34\\\n",
       "iGZVN/gdO3YM6LWqEhUVxdRGH9TGlFHTNK0XAIRK/fqXGgDgs2nTprktHzRoUNCvXVhYWOWG63XN\\\n",
       "d999V6vXc7dBfTAQBH3nzwhhfn6+EhMTrfJu3bpp9erVVZ5nmiZ/PgBCqv78Kw0AYSgmJkZXXnml\\\n",
       "3+d7ej4ukE5/ps5Z5b58MTExPrXZrFkzlZeXq7S0tNZulqdMmRKUdm+++WaPx9atW1ejtitHe9PT\\\n",
       "0z3WYfTJP/6OEObn51uvNWvWuG37zTffdLhOJf6sAIQCgRAA6rCysjJ98sknfi9CkpCQEIReOapu\\\n",
       "iqVhGCopKXGYHmeapsrLyz1uVH/kyBFFRkYqOjpadrvd47YQzz33nNXenj17qu2rp+f5JM8jqTX1\\\n",
       "1ltvuf2cEREROv/88/1u12azWX8nDh065HF6blV7LyLwbDab9brwwgvd1hk+fLjbckYKAYQCgRAA\\\n",
       "6onIyEi/zvN31ME5wPXs2dNtPX83Y4+MjJTdbne5jjtFRUUOi7ncf//9Mk1TEyZMsMratWvn8fzK\\\n",
       "tgsKChyutWfPHqsPnhw6dMhlNMjTNhWeuPucNX1W0Xn0t6Kiwu0vADp37lyj64Qrf0YIbTab8vLy\\\n",
       "rFdV00UlniEEUDfwDCEA1BMPPPCA3+fa7Xavn+Vr1KiR26mmGzduDOkIRnR0tFc3zqd/1tjYWBUX\\\n",
       "F3us265du2rbczcdMy4uTps3b1aPHj2qPT9YWrVqpQMHDjiUFRYWutTz9xcJ4S6Yq4wCQF3CCCEA\\\n",
       "1APJycl64okn/D7fMAyHYJCenu4yYnX6KJonvm65EAqV02tN06wyDHqjqhVXazLdMxB+/vlnr+vm\\\n",
       "5+cHryMNVG2sMsrG9gDqAgIhANRhlcHmxIkTNW7r9CmKv/zyi19tREdHy2azOZQ9/vjjNepXXVbd\\\n",
       "jXp2dnYt9cSVL1t6JCQkyDRNr0ZEcUowA2FSUpLb8l//+teB6DoA+IQpowAQBpynFhYXFys+Pt6v\\\n",
       "tvLy8tS5c2ft3LlTzZo10+TJkwPRxTqpuumWu3fvVosWLWqpNzXnzcI7OCWYU0ZPnjzpR48AIDgY\\\n",
       "IQSAMOC8AfqNN95Yo/a+//57bd68WUeOHKlRO/Vdly5dQt0FAABqhBFCAAgDzs/SffjhhzVuM5QL\\\n",
       "qtSmqjYOb9y4cS33BrWFRWUAhAtGCAGgntq5c6fDM0zffPNNqLvUYJmm6bJKq69bTwRaYmKi23K2\\\n",
       "MAiM2lhUBgDqAgIhANRDJSUlLvvLZWRk6L///a/XbfgbHN5//30tXLjQr3NrYuXKlTrnnHPUp08f\\\n",
       "5eTk1Pr1KyoqHFZjjYmJqfU+VLrzzjs9rhy6e/fuWu5Nw0QgBBAuCIQAUA81atTIbXm3bt3clh89\\\n",
       "etSlzNeb2DvvvFOGYei6667TsGHDau0muG/fvjIMQwMGDND333+vr7/+WsnJyXrwwQdr1G5eXp7D\\\n",
       "DX2HDh0C1OPgWrhwoV566SWPx88777xa7E3DRSAEEC4IhAAQBlJSUhw2Lfd1dLC0tNRtCHn11Vdr\\\n",
       "3LeqVFRUaMOGDW6Pffrpp363a7fbXZ7/2717t9auXet3m0lJSVY4COZ+jcOGDavyeE33XsQpBEIA\\\n",
       "4YJACAD1kKfN4xMSEjyeEx8fb0139FVKSorb8jvuuMPntnyxbds2j8fWrVvnd7uetpO48MIL/WrP\\\n",
       "MAzl5uZa72NjY91+z3a7XdHR0UpOTvbrOnPmzPG6PwAAeINACAB1WGRkpJKSklxGfeLi4lRWVuZQ\\\n",
       "Fh8f7/G5spqKjY11W+680EqgeZoCe/poZ13l/N2YpqnIyEiVl5crJyfHr9B29913e13XMAz16dPH\\\n",
       "52vgFEYIAYQLAiEA1GF2u125ubmKj4/XGWec4XAsKirKYZGTYIak7Oxst+X79u0L2jUr2e12a0Sv\\\n",
       "UaNGMk1T8fHxHusXFxdbN+kPP/ywT9cKdMCtHJXNyclx27ZhGNq7d68KCgo0evRopaamVrl5vK+j\\\n",
       "u19//bVLWPE16NTFV0lJicPffXevmiIQAggXBEIAqCdqI3x5EhERoeHDhzuUJSQkKD09PejXNgxD\\\n",
       "5eXlMk3T41TZ050eFh977DGfwoGn5xX9VVxcrIiIiCqniLZr1042m02vvfaasrOzdeaZZ7qd0jpk\\\n",
       "yBC/+xEVxbbDviIQAggX/AsB1HN79uzRl19+qb1796qwsFDNmzdXjx491K9fP8XFxYW6e2hA/vGP\\\n",
       "f+gf//iHcnNz6+yG7O6eoezdu7c2btzo1fk9e/b067pVbV7vD7vdrvT0dB08eFDSqUV9li5d6nd7\\\n",
       "FRUVstvtQZ/i29AQ9ACEAwIhUE8tWLBAzz//vDZu3KjU1FSlp6crPj5ex48f108//aS4uDjdfPPN\\\n",
       "mjRpkstUQ9RPnp7jq211NQxK7p8t9HZvxq1bt9bo2oEOhYcOHdL555+vffv26dixY27rJCYmqqSk\\\n",
       "xKtVTSMjI/Wf//wnYP1r6HwZ+SM4AqjP+FUhUA/16NFDL7zwgkaNGqW9e/fq0KFD2rRpk7766itt\\\n",
       "375dubm5Wrp0qex2u3r16qXFixeHusuoocjIyIBsJ5CVlWXd6DbE7QlatWrlUma32706t3v37jW+\\\n",
       "fsuWLWvcxukeeOABnTx50u0x0zSVm5urkpISr/cezMzMDGDvAAANASOEQD30xBNPVHljFxsbq0sv\\\n",
       "vVSXXnqp/vrXv+rnn3+uvc4hoOx2e8BGH7Zv365zzz3Xeh8fH68//elPeuqppwLSfl2wc+dO2Ww2\\\n",
       "h7Ly8nKH93/84x+Ddv1Dhw4FrK3KZx/tdrtuvvlmh2Mffvihw/uNGzcyRTzAGCEEEC4YIQTqIV9+\\\n",
       "y5+SkuL3c1EIvUDeaGZkZLiUPf300wFrvy5o1KhRtXVmzpzpdXslJSXq1auX9SxfVXbu3Ol1u9U5\\\n",
       "66yzrJ9vvPFGl+PXXHNNwK4F91hUBkC4YIQQaCCys7OVnZ3tMj3O0z5uCD/O+xZWakiLjXi6MY+K\\\n",
       "itLWrVvVo0cPt8c9bVRfOepWORXV3Yql7du3D/go/Onh0t0Koc6f85577qmyvY8//lhXXnml23Ph\\\n",
       "HiOEAMIFgRCo5zZt2qSRI0dqx44d1s2qYRjWAhcVFRUh7iHqisjISLd/H0IdBqOiohz65S50/fDD\\\n",
       "D+rSpYtM09RLL72k0aNHu23L03ORFRUV6tq1q8c+3HnnnS5lRUVFLmWVN/5RUVEuU1EDxdMzg859\\\n",
       "ON3LL7/stm5GRoa2bNkSiG6FHQIhgHDRMH4lDISx2267TWeddZbWrFmj3bt3a8+ePQ7/C1RyF2A8\\\n",
       "BavaYrPZXEKqYRiy2Wz64YcfNGbMGBmGobPPPtvaOuH222+XYRgaOnSoS3veTBl1Z86cOS5lnkKW\\\n",
       "5P67DATDMJSUlORSfvrncrdSqLsQbRgGYbAGmDIKIFwwQgjUc7t379b//d//qWPHjqHuCuqByuAQ\\\n",
       "6C0S/FFeXu5xo/mCggKdffbZVZ7/z3/+U4ZhKDo6WpLnKbHVadasmdvyUaNG6d577/WrTX8YhuFx\\\n",
       "RdT8/HxFRkYqJibGmvp5uujoaJfP76ktd+Gxvpk2bVrQr8EIIYBwwQghUM9dccUV+uabb0LdDdQz\\\n",
       "Vd3AvvjiizIMw6stFH7++Wf17dtXv/rVr7R69Wqvt3iQZAW5miorK/MqDNpsNvXu3dvhecE33nhD\\\n",
       "R44ccVs/WPstpqWlyTRNmaYpu92uwsJC62dPKsOipymxzuWDBw8OaJ8BAA0XI4RAPffKK69o5MiR\\\n",
       "+u6773Teeee53GRzYwhfTJ48WU888YSk/+1Z6G5EyTRNl2cPL774Yo/tGoahrl27as6cOZo2bZo+\\\n",
       "+eSTwHa8Gv6Oinl67rImTt+awjAMxcfH17jNiIgI2e12jRs3Tk899ZTL1hvwHSOEAMIFgRCo59au\\\n",
       "XavVq1fr3//+t8sxFpWBryrD4Okqw0al4uJin0OMaZr69ttvdckll9S4j75YvXq1LrzwQr/PLy8v\\\n",
       "dxt+nSUnJ+vEiRPW+z59+ujrr7/2+7r+MAxDc+fOrdVrNmQEQgDhgimjQD13991365ZbbtGhQ4dk\\\n",
       "t9sdXoRBVDJNU5GRkTIMQ8nJyT6fe/oIm78Lt9S2ZcuW1SgMVjIMQ6WlpVXWOT0MStKGDRtqfF2E\\\n",
       "FovKAAgXBEKgnjt27Jjuu+8+paamhrorqMNOH+XLycnR1KlTfTr/mWeesX6uD4uSdOzYMaCbt0dH\\\n",
       "RyszM9PtMU/fh7ttK95///2A9QnBRSAEEC4IhEA9d/311+uzzz4LdTdQh40aNcqlbPr06T614SkM\\\n",
       "1UWGYWjXrl0+nWOapnbv3q333ntPq1ev1okTJ1yC3vvvv6/Y2FiHsqoWgomLi9O7775rvW/atKkG\\\n",
       "DRrkU78CobCwUI0bN1aTJk00e/bsWr9+fUUgBBAueIYQqOfOOussTZ48WV999ZW6du3qsqjMPffc\\\n",
       "E6KeIRCio6OVkpKi7du3q2nTpn618eabb7otz83NdVlJ0932BZLUrVs36+cpU6b4HCiDxfn5xh49\\\n",
       "emjz5s0+tZGSkqLjx497PG4YhiZNmqSHH35YBQUFMgyj2mcKKw0dOjTkI6oJCQnWz3fffbfGjx8f\\\n",
       "wt4AAOoaAiFQz73yyiuy2Wz64osv9MUXXzgcMwyDQFjPlZeX6/Dhw0pJSZEkxcTEqLi42KcRCU+j\\\n",
       "WE2bNnXZYD09PV179+51KHO+1rRp0+pEIMzKyqrxVOk333yzyjAonRo9fOKJJ7RhwwatXLmyRter\\\n",
       "bVlZWaHuQr3FojIAwgVTRoF6bs+ePR5fu3fvDsg15syZo3bt2ikuLk59+/atdsGMxYsXq3PnzoqL\\\n",
       "i1PXrl310UcfORw3TVNTpkxRy5YtFR8frwEDBvg8xe/0tqp6lZSU+Dz1qy69nJWWlioiIkKGYejk\\\n",
       "yZN+fWeV3C065BwGJenaa6+t0XWCpUWLFjVuY8SIEV7XrY9Ts9PS0kLdhXqrIUwZfeutt+ps3wDU\\\n",
       "HQRCoIE6dOiQnnrqqRq3s2jRIk2cOFFTp07V5s2b1b17d2VmZio7O9tt/TVr1mjYsGEaPXq0tmzZ\\\n",
       "oiFDhmjIkCH67rvvrDpPPfWUXnjhBc2bN0/r169XQkKCMjMzPW66DfeaNGkiwzDUtm1bv9swDMNa\\\n",
       "IfOCCy5wW6dVq1ZuzwumQYMGuaxu6mz16tU1uoavUzmdp2OjYWsIgfCWW24JdRcA1AOGGeqHGwDU\\\n",
       "yG233ea2fO/evdqwYYPy8vJq1H7fvn3Vu3dvazEKu92uNm3a6O6779af//xnl/o33XSTCgoK9OGH\\\n",
       "H1plF1xwgTIyMjRv3jyZpqn09HT98Y9/1P333y/p1KqXqampmj9/vn73u9951a/c3FzNnDmz2nql\\\n",
       "paWaMWOGV23Wd4mJicrNzXUoKykpUVxcXI3ajYiIcBlNvOaaa9zufRkozv80ebrhru6fsPLycsXH\\\n",
       "x6u8vFwJCQk6cuSItYfiokWLvP77VtlWZGSk1/XritLSUofFcBrCP/vTpk2rts4jjzyinJwcl+dk\\\n",
       "q5OYmKj8/HxNmjTJZREhT0pKSvTkk0/KZrPV+P9zA63yv52G8OcOIDgYIQTquRMnTji8jh49qg0b\\\n",
       "Nujzzz932CrAH6Wlpdq0aZMGDBhglUVERGjAgAFau3at23PWrl3rUF86tUJlZf09e/YoKyvLoU5S\\\n",
       "UpL69u3rsU14Jy8vT4ZhqFmzZvr+++915ZVX1jgMSu6fQVy2bJlfbV111VVKSkqqsk5GRoZLmT+j\\\n",
       "3UePHlV0dLT1nGRBQYEaNWqk5ORkDR482KcwaLfb62UYlE49d1pf+x5KDWGE8HT1rb8Aag+LygD1\\\n",
       "3Hvvvee2/K9//auWLFmiO++80++2jx49qoqKCpeFO1JTU/X999+7PcfdQh+pqanW4haV/1tVHXdK\\\n",
       "SkpUUlJivXceCcP/HDt2TOecc05A2zRN0+Em0jAMlxVJr776aj3++OO6+OKLVVhY6LadmTNnKiYm\\\n",
       "RmeddZbHa61atcql7L777tMDDzzgUr5+/Xr17dvXbTstW7Z0W56Tk6MPPvjA4/Wd/f3vf6/3N9AH\\\n",
       "Dx5kr9IwVTkyWN1qugDCFyOEQAM1bNgwff7556HuRsDMmDFDSUlJ1qtNmzah7lJYiYpy/f1haWmp\\\n",
       "wwI+//73v9WjRw8VFBR4bOfcc89Vp06dZJqmvvnmG5fjzZs3V2JiolfXlzw/9yjJZQVVf40ZM8av\\\n",
       "8yoqKurMNL0WLVpo3759oe5GvVMfRwc99en55593+O8VACoRCIEG6ptvvlGPHj1q1EazZs0UGRmp\\\n",
       "w4cPO5QfPnzY4+qFaWlpVdav/F9f2pSkyZMnKycnx3rt37/f588D/1W1Abu3nINet27drJtTu90u\\\n",
       "0zQ9LlZUlb/97W8uZaFYACYjI8MhJERFRVkrwt5444213h9nbdq0IQj4oCFMGT29X8OHD6+z/QQQ\\\n",
       "WkwZBeq5iRMnupQdPnxYS5cu1cCBAx2Oe7MIy+liYmLUs2dPrVy5UkOGDJF0KhisXLnS4+bW/fr1\\\n",
       "08qVKzVhwgSrbMWKFerXr58kqX379kpLS9PKlSutZ8Vyc3O1fv16jR071mNfYmNjvV7gAcGRkZGh\\\n",
       "rVu3+n3+0qVLPR7z5kbVeRP6Svfcc4+aNGmim2++WYZhaMyYMQEbHZROTXOubvuG6vq/ePFiRUZG\\\n",
       "ut3qA3WTL0GvLgctwzD4RQCAKhEIgXpuy5Ytbst79+6t7Oxsa8TF3xuWiRMnauTIkerVq5f69Omj\\\n",
       "WbNmqaCgQLfeequkU/u4tWrVylrJ895771X//v317LPPauDAgVq4cKE2btyol156yerHhAkT9Nhj\\\n",
       "j6lTp05q3769Hn74YaWnp1uhE3WTuyme7px//vluy3/1q1/V6PpV/R0ePny4hg8fXqP2PWnZsmWV\\\n",
       "N9QJCQletWO327k5r0fqeyBs1KhRqLsAoJ4gEAL1XLA3y77pppt05MgRTZkyRVlZWcrIyNDy5cut\\\n",
       "BSr27duniIj/zT6/8MIL9fbbb+uhhx7Sgw8+qE6dOmnJkiU677zzrDoPPPCACgoKNGbMGJ08eVIX\\\n",
       "X3yxli9f7teKmNXdiMXGxtbrG/C6dqOZkpKiY8eOeTzesmVLj4sDnf73xB+hHF3zNDopyeMCOp4Q\\\n",
       "CuuH+h4Ii4qKQt0FAPUEgRBAtcaPH+9xiqi7hWuGDh2qoUOHemzPMAxNnz5d06dPD1QXG6zKZ+xq\\\n",
       "GqYC5fjx4zIMQ+eff75+/vlnn1YtzMvL83lPuEonTpzw67xAMU1TO3fu1Nlnn+1S7g+mj9Z99TUQ\\\n",
       "Oq8ILNWt/gGoe+rGHQYAn1x99dVat25dtfXy8vL05JNPas6cObXQKwRLXRxR2rx5s89L2KekpFRb\\\n",
       "Z8SIEdaNeEREhLp06aK2bduqadOm/nY1YDp37uxSVlxc7Fdbdrvd66mmgK9OX0307rvvtsoff/zx\\\n",
       "EPYKQF3FCCFQDw0dOlQ33HCDkpKSNGjQIPXq1Uvp6emKi4vTiRMntH37dn311Vf66KOPNHDgQD39\\\n",
       "9NOh7jICIDU11WV11vqkvLxcOTk5Hjemj4yMdJiWaZqmduzYUVvd80rnzp097sHpq8LCQk2bNk1T\\\n",
       "p04NSHsIrPo6QujshRde0AsvvBDqbgCowwiEQD00evRo3XLLLVq8eLEWLVqkl156STk5OZJO3Zh0\\\n",
       "6dJFmZmZ+vrrrwO+QTlCZ//+/YqJiQl1N2okOTnZWlzldNOnTw/I1hbBtnPnTof3NV359pFHHiEQ\\\n",
       "1lENJRACQHUIhEA9FRsbq1tuuUW33HKLJCknJ0dFRUVKSUkJyR5sCL6G8ucaERGh8vJyRUZGSjo1\\\n",
       "fbI+haLo6GiVlZVJCkwQmDx5srVKL+oOAiGAcMEzhEADkZSUpLS0tAYTGuCb3Nxch+eGPv74Yw0e\\\n",
       "PFgff/yxtel7ZYg5XXx8vHVObS5THxUVpbi4OJ1xxhlWMKwrDMPQ999/r3Hjxrk9Xl5err///e+S\\\n",
       "pFdffbXG13vyySdr3AYCryFsTA8A3iAQAkAdFhUVpdjYWNlsNo/ByTAMJSYmOpRdeeWVWrp0qa68\\\n",
       "8krrZjUqKkqlpaVWnXPOOcdhy4SCgoJavbEtKSnRvn37au163igoKJDdbtfZZ5+t2bNne1zM5667\\\n",
       "7pJhGLrjjjtqfM1ALRh05MgRdenSRa+99lpA2gt3wQ6EBEsAdQWBEADqsIqKCpWWllpBxR3TNPXh\\\n",
       "hx961V5eXp71888//+xyPBxuSAsLCx1GU5999lm1bdtWJSUlbkdJf/rpp6D36ciRIz7Vt9vtmjRp\\\n",
       "khISEqwg0aJFC+3YsUOjR48OSFBF8NT3Z4EBNCwEQgBoAAYNGuRVmDvzzDOtn4uKilRSUmK9N02z\\\n",
       "XizsctNNN2njxo1+LeiSl5en+Ph4h7KJEydq7969Hm/SzzzzzKAH5RYtWng1UlhRUSHDMBQZGamn\\\n",
       "nnrKYYT3dK+88orHNnwd+aqLr5KSEodQ7+5VU8EcIaycvh2MfgOAr1hUBgAaEMMwVFhY6BJ6KlWu\\\n",
       "RlspLi5OhmEoKirK7TOGdU1eXp5sNpukU3sAmqapyMhIr26kmzRpYp3rK3crowZaRMSp39FGRkaq\\\n",
       "U6dOWrlypdLT063r22w2FRUVBbUP+J/aWFTG+TwCIYBQYIQQqOdGjhypVatWhbobqEM8LQ7jKfB5\\\n",
       "WnDGGxEREcrKytL3338f9MA0dOhQl0BnGIa1aE7lCGflz+Xl5br99tsVGRmpjh076vjx4zW6fq9e\\\n",
       "vWp0vrcqKir0/fffq1WrVlYoiYyMJAzWMn9GCPPz85WYmGi9LrroIp+vCQC1jUAI1HM5OTkaMGCA\\\n",
       "OnXqpMcff1wHDhwIdZdQBxiG4TLaEOjnlqKiolRRUaHU1FSdffbZstvt2rhxoxISEhQfH68zzjjD\\\n",
       "40ilO3FxccrJybEC3dGjR3XOOecoOTlZe/bs0bvvvlttG6ffUEdGRurll19WeXm5du3a5ddnPN3X\\\n",
       "X3/t8djSpUutfldUVARk9dFgmDVrVqi7UG/4O2U0Pz/feq1Zs6bKazBVFEBdQCAE6rklS5bowIED\\\n",
       "Gjt2rBYtWqR27drp17/+tf75z3/WiymACJ6oqCiVl5fLNE2lpaUFvP2srCyXsp49eyo/P1+FhYX6\\\n",
       "+eefVVhYqJkzZ1bb1uWXX66ioiI1btzYKktJSdH27dt14sQJtWvXLpBd91tUlOuTFjabTYMHD7be\\\n",
       "R0RE6LbbblNxcXFtds3F6SvKVpo0aVIIelI/+RsIbTab9brwwgtD+AkAwDsEQqABaN68uSZOnKhv\\\n",
       "vvlG69evV8eOHTV8+HClp6frvvvuC8joCOofu92u6OhoRURE6PDhwwFte+nSpUpJSfGq7n333SfT\\\n",
       "NNWsWTOXY0OGDJFpmlq5cmVA+xcszr9kiYmJcVi59XSxsbEyTdPjNMD09HSVlZWpqKjIrwVyquOu\\\n",
       "TXeBFoFjs9mUl5dnvVavXh3qLgFAtQiEQANy6NAhrVixQitWrFBkZKSuueYa/fe//1WXLl303HPP\\\n",
       "hbp7qEe2bdvmdgXEyhHH00fEvHXkyBGZpqni4mKrnffeey8Ivfff6SM+F198sds6ldNCKyoqHFZp\\\n",
       "9cRutyshIcGl7MCBA4qKilJcXJyKi4u9astXzs8dFhQUBPwaDVUwVxl1dw0ACBUCIVDPlZWV6f/+\\\n",
       "7/907bXX6owzztDixYs1YcIEHTx4UG+88YY++eQTvfvuu5o+fXqou4o6LDk5Wfn5+Vbw69Kli9t6\\\n",
       "kZGRNb5WbGxsQNoJtMpVPitVNboTERHhUr8qp3+3nkYNY2JiZJqmsrOzve90NcaNGxewtsJNMAOh\\\n",
       "p2cGeZYQQCgwdwSo51q2bCm73a5hw4Zpw4YNysjIcKlz2WWXKTk5udb7hrovNjY25M+6BdvBgwfV\\\n",
       "qlUr670vN+PuFucJtubNm1vXNE1TUVFRfu8POW/evEB2LewEc+SO8AegrmCEEKjnnnvuOR08eFBz\\\n",
       "5sxxGwYlWas0As72798f6i4EXfv27R3eV+7t5+x3v/ud2/KabldRE4ZhqKKiwu/zA72ybDipjSmj\\\n",
       "AFAXEAiBem748OGKi4sLdTdQT82ePTvUXQg659G1Q4cOua33zjvvuL2x37dvn0vZuHHjlJqa6rGt\\\n",
       "QPv44499PqeqkdD6/oqNjQ16QCMQAggXBEIACGP1/dnSN954Q82aNVNubq7HOjt37vS6PbvdrmnT\\\n",
       "plnvExISXEbeDcPQ3LlzlZ2drfT0dBmGEZQFYU535ZVXVnm8cvP62NhYzZ49m+mIAUAgBBAuCIQA\\\n",
       "UIdVjohs27YtaNeobnGUjIwM66a3qj0Fy8vLlZiYqMjISCUmJqpNmzaKiopye/Pcu3dvHT16VAcO\\\n",
       "HFCrVq1cji9durTafkdGRmrUqFE6duyYkpKSPN6Un3nmmdW2dbopU6ZY33t+fr7DsSVLlrg9Jy4u\\\n",
       "Lih7PVbnzTfflGmastvtKi8vV3FxMQvJAAB8QiAEgHqgS5cuQRv1MU1Tn332mdtja9eu1TfffGO9\\\n",
       "/+Mf/6iuXbu61OvXr5+io6OVn58vu92u/Px8/fLLLx6ff9u4caOaN2+u1q1b6+DBgy7HhwwZooUL\\\n",
       "F1bZb3cLrVx++eVu61YuziJJqampVbZblUsvvdTjscOHD9f4mb+qnL6faOViN7fccktQrgVGCAGE\\\n",
       "DwIhANQjJ0+eDEq7noLURRdd5FL23XffObwvKyvTunXrAt6nYcOGeTzmKRx/++23Hs8pKyuTaZrK\\\n",
       "ysryu0/erNZ7+qho5fYUkZGRGjRokN/XlaSOHTtaI5f+rjoK7xEIAYQLAiEA1CNJSUm1ej1Pwev0\\\n",
       "UbZgrmTp6fqebsAPHz4ctL5Ueuihh7yue3qA+/DDD2UYhl566aUg9g6BQiAEEC4IhAAAn1Vunh7s\\\n",
       "kaq8vDyPx+bPn2/9bBiG1qxZUysb3j/66KM1On/s2LEB6ol3TNPUggULFBkZSXDxAYEQQLhgY3oA\\\n",
       "qEf82X4gGGojeEmSzWbzeGzkyJEaOXJkrfQjkCrDdLCYpimbzabCwsKgXqeh8yXoEQgB1GeMEAJA\\\n",
       "PXL11VeHuguSpJSUFElVr1BqGIbKyspUUVHhsnWDJMXGxurgwYPKz89X586d3bZR3Qqo9U23bt2s\\\n",
       "7y5YoqKiCIMAAK81rH9pAaABi4mJCer+cv/6178c3leuyunO6SteemK32xUVFaWIiAht2bLFZXPx\\\n",
       "4uJitWzZUgkJCdqxY4f1rN27776rXbt21dm99Pzdc/Dbb791WLE10IqLi2UYBgvOBAhTRgGECwIh\\\n",
       "ANRhMTEx1g1nWVlZUK91ww03KCoqSh07dqx2+4TGjRtX2dYVV1zhVx8Mw9DQoUPVsWNHh/KmTZs6\\\n",
       "3Hy/8cYbfrXvydGjR61VQffu3Vtl3bi4OL+u4W67Dm95E47j4+P9bh+uCIQAwgWBEADqsGCHQGcV\\\n",
       "FRX66aefatzOe++9F4DenFJWVqYTJ044lI0aNSpg7dvtdjVv3lzSqeDVrl07j5vM+zuF1d/AUFRU\\\n",
       "ZAXVqkI6gSTwCIQAwgWBEADgE2+eT0tISAjY9T7//HO35YHaAD42NtalzNP2Ff5OY/X3vEaNGjm8\\\n",
       "j4qK0muvveZQ1tCes6wrCIQAwgX/igBAPZKcnGw9g9elS5dav35MTIxXUxMDGVI8LcLizbNyO3bs\\\n",
       "qLZOeXm52/KjR49We26l66+/XkuXLq0yGPi6MmuTJk3clo8ePdohiNTVZy3rOwIhgHDBthMAUI+c\\\n",
       "PnVy27ZtXt+Ibt++Xeecc46kU9MQmzRp4tfiKP4uqFIT3bt3d1seHR3t8Zzjx487BEl/QlOzZs1c\\\n",
       "yj7//HNdeuml1vuCggKHUTy73a5WrVrp4MGDLufa7XavA9zIkSN18uRJn/sMAICvCIQAUI9UVFRY\\\n",
       "I01XXnlltfXLyspcVguNj49XcXGx9d7bUOkpyJimqcTERBUUFGjfvn1q3bq1V+15y589D51HFT0F\\\n",
       "sX79+rk9/5dffnFb3r9//2oD3YEDB6r8ThlNqh/YhxBAuGDKKADUI1FRUXr11VfVoUMHffLJJ1XW\\\n",
       "bd26dZVbR1QKxJTDvLw82e12t2Hw2WeftW6ua2NLBF+mq65bt87t+a1atfL7+gUFBX6f6yvDMLR1\\\n",
       "61ZVVFSovLxcP/zwQ0Cf3wxnTBkFEC4YIQSAeub222/3qt6+ffu8bvPHH3902eohECoqKnT//fdb\\\n",
       "7yMjI1VRURGQZwxbtGih7Oxsh7Jvv/3WY8C12WzKz8+33nu6ia/JYjWmacpms/l9vi/Ky8tdRk87\\\n",
       "depkfcbo6GiPz0eieowQAggXjBACQAPly01qhw4dlJ6eXmUdb0Ybnd10000uZb5OAT127Jjb8iNH\\\n",
       "jigiIkKffPKJxo8fr5iYGI/PG0qnRu5O38LBnZrc2EdFRdXaip/5+fnVfo+1vWVJQ8MIIYBwQSAE\\\n",
       "AEiq/tm3iooKGYahXbt2WSudVufPf/5zjfvlbnGXSqZp6sorr9ScOXO8DkBV9fuJJ57wuX+NGjWq\\\n",
       "co/AYPB2Wqi7LTXgPcIggHBAIAQAWIqKiqqtc9ZZZykiIsIaaavqhrhXr1416s/s2bNrdL6vtm7d\\\n",
       "6lJmt9s1fvx4/e53v7NGK03T1K233irDMLz6zgJpyJAhXtetzZAKAKifeIYQABoo0zR9Hr3wtLpm\\\n",
       "dZ577jndd999XvXDl4Vl7r77br/646933nlHb775pjUd0/n7W7RoUa32x5333nvP67o8Q+g/niEE\\\n",
       "EC4YIQSABurw4cNe162oqNB5553n98IynTp1qvJ45RRTX0JqfHy8X32pqaioqDo7FXDUqFFe162N\\\n",
       "FV0bMp4hBBAuCIQA0EDddttt1dYZPHiwDMNQVFSUtm3b5ve1rr32Wr/P9eT0vRK9lZ6e3mBvzhMS\\\n",
       "EvT66697XT8xMTGIvWn4CIQAwgWBEAAaqOXLl1d5/NixY/rggw9qdI1GjRoFZB9DZ/7s5Zedna0D\\\n",
       "Bw7IbrerefPmbuvExcXpl19+qfHWENdcc41KS0tlt9tlt9tVUVHhMApqmqbWrl1bo2s4e+aZZ3yq\\\n",
       "X1hYGNDrhxsCIYBwQSAEgAaquqDWsmVLv9tOTk6WaZpB24T917/+tU/1Bw4c6BACnfcnlKRVq1ap\\\n",
       "qKhIrVq1Ul5ens99ioiIUFlZmUzT1LJlyxQdHW2FAXfbTVxwwQXav3+/z9fxZOzYsV7X7dChQ8Cu\\\n",
       "G64IhADCBYEQABqwqvbF83efuoULF+rEiRP+dskrX331lfXzjz/+KNM0lZub67G+u/6YpqmMjAxF\\\n",
       "R0errKxMl1xyicPxFi1aVNuP9PR02e12maapiooKn/dibN26tU/1q2MYhq677roq67Rs2VK7d+8O\\\n",
       "6HXDEYEQQLggEAJAA1a5iMs777wTsDbdbTZ/uvz8fF1//fWKiYmp8gZ67969Luc+9thjMgzD6rdp\\\n",
       "mtZoV2Jionbs2OH2mmvWrHEbcLds2aLS0lK3Qa66KZX5+fnV7s3ojbfffrtG5zt7//33q/xes7Ky\\\n",
       "qjzf16BTF18lJSUuU3SdXwAA77DtBACEgd///vf6/e9/r1atWunHH3/0e8GRxx9/3OOxqKgon/a9\\\n",
       "a9eunc/Xr2oqZExMjE9BID8/3215ixYtfFqhtTrDhg3T73//+4C1h9rhy8gfI4QA6jNGCAEgjBw4\\\n",
       "cEDx8fF+7083efJkl7LWrVvLMIyAb4LuLtylpqZWeY63N+atWrVyKbv77rtlmmZAw2ClkpKSgLeJ\\\n",
       "4GLKKIBwQSAEALgYOXKkiouLtX//ft10002aPn2624BmGIYOHDgQtH40a9bM+vmJJ57w6tlFdzfr\\\n",
       "UVFRstlsioiIkGEYOnjwoFU/MjJSpmnqhRdeCMpnkE6NXgY6MCO4CIQAwgVTRgEALubPny/p1Ojf\\\n",
       "woUL3daJiYkJej+OHTsWkJvtiooKjyui+jta6quIiAiZpmn9L+o2powCCBeMEAIA/OLvKqXhwtP3\\\n",
       "Y7fbA3aNynB5+qukpISAEgCMEAIIFwRCAAACaPr06TIMw1pl1d0IZKC27XA3DTUmJkZ2u92vvRYB\\\n",
       "AOGHQAgAcPHTTz+Fugu1pm/fvgFtb+rUqQ7vo6OjXeokJSXV+DrVTTu12WzW/o0pKSmMYvmIEUIA\\\n",
       "4YJACABw0bFjx1B3odZs2LBBsbGxKigoUEFBgTp06BDwm3zntoYPH16j9nx5BjExMVFHjx6V3W7n\\\n",
       "2UUfEAgBhAsCIQDALXcjW5WeeOKJWuxJ8JWWlspms8lms2n37t1WeUSE7/9M/vrXv3ZbbhiGHnnk\\\n",
       "ETVp0kQLFizwq5/79+8n1NUSAiGAcEEgBAC4VV5eLsMwXBZB+cc//uF2P8L333/fWtjkyJEj6tSp\\\n",
       "U72/UfYnfH300Ucej02bNk0nT570uy+tW7f261zndur7KzY2NugBjUAIIFwQCAG4VVZWpkmTJqlr\\\n",
       "165KSEhQenq6RowY4bB/mydz5sxRu3btFBcXp759+2rDhg0Ox4uLizVu3DilpKTIZrPphhtuCMpm\\\n",
       "4A1BTEyMX6NUgRQZGelw4zty5EiXOsePH9egQYOs982aNdMPP/xgTVN0fjn/najL8vPzfT5n//79\\\n",
       "Ae0DexjWPgIhgHBBIATgVmFhoTZv3qyHH35Ymzdv1r/+9S/t3LlTgwcPrvK8RYsWaeLEiZo6dao2\\\n",
       "b96s7t27KzMzU9nZ2Vad++67Tx988IEWL16sL774QgcPHtT1118f7I9UL5WUlKiiosIKUqdv1F6X\\\n",
       "NGnSxKf6vXv3lmmaioyMDFKPAqdr164+nxOIkbzT1TRw5OTkqLS0NEC9AQA0JGxMD8CtpKQkrVix\\\n",
       "wqFs9uzZ6tOnj/bt26e2bdu6PW/mzJm64447dOutt0qS5s2bp2XLlum1117Tn//8Z+Xk5OjVV1/V\\\n",
       "22+/rcsvv1yS9Prrr+ucc87RunXrdMEFFwT3g9VzR44caVCjEdnZ2UpJSQl1N6q0b9++UHdB//3v\\\n",
       "f9WtWze/zo2NjXUIgzyD6B02pgcQLhghBOC1nJwcGYah5ORkt8dLS0u1adMmDRgwwCqLiIjQgAED\\\n",
       "tHbtWknSpk2bVFZW5lCnc+fOatu2rVUHVTt69Giou+DC35DRtGnTAPck8AK5kby/unfvrsjISP3t\\\n",
       "b3/zqT+RkZGMDPqJKaMAwgWBEIBXiouLNWnSJA0bNkyNGzd2W+fo0aOqqKhQamqqQ3lqaqqysrIk\\\n",
       "SVlZWYqJiXEJlafXcaekpES5ubkOr3CVkpKiLl26hLobDmrynGNBQYHb8oceesiaKuuufXfPJgZL\\\n",
       "7969faofjIBgt9t1zz33WM90fvHFF16dA/8RBgGEAwIhAEnSggULrGX3bTabvvzyS+tYWVmZbrzx\\\n",
       "RpmmqRdffDEk/ZsxY4aSkpKsV5s2bULSj7pi27ZtIV9sxllCQoJf5zVq1Mht+aOPPmr9XF5e7nDs\\\n",
       "559/dntOsBZf2bhxo9d1aysgXHrppbVynXBVmyOEhEsAoVS37iYAhMzgwYO1detW69WrVy9J/wuD\\\n",
       "e/fu1YoVKzyODkqnVpaMjIx0WTH08OHDSktLkySlpaWptLTUZen90+u4M3nyZOXk5FivQK/iWB9V\\\n",
       "VFSovLxcLVu2DHVXJJ1aiChY0xOdb5Q9/UIgmCHZm9G22r6hP/0XN86cQzR8U1uBkBAIINQIhAAk\\\n",
       "SYmJierYsaP1io+Pt8Lgrl279Mknn1S7+EdMTIx69uyplStXWmV2u10rV65Uv379JEk9e/ZUdHS0\\\n",
       "Q52dO3dq3759Vh13YmNj1bhxY4cXTj0jdvDgQZmm6ff+doEUGxsblHavueYah/fHjh0LynWq4mkk\\\n",
       "Uzr1i5NQ3Nj/4Q9/0Lx583ThhRcqKSlJF198sTZv3qz7779f0dHRtd6fhqQ2AmFdX1AJQHggEAJw\\\n",
       "q6ysTL/97W+1ceNGLViwQBUVFcrKylJWVpbDKNAVV1yh2bNnW+8nTpyol19+WW+88YZ27NihsWPH\\\n",
       "qqCgwFp1NCkpSaNHj9bEiRP12WefadOmTbr11lvVr18/Vhh1IzIyUrGxsRo9enS1dZOSkurE9h0H\\\n",
       "DhxwKWvSpIl14/zHP/7R4di2bdvcthMREaGSkhI9++yz+ve//+1wrFOnTh6vH6znS0tKStyG7vbt\\\n",
       "2ysmJiYo1/SkS5cuKi0t1fLlyzV27FitXbtWubm5Wr16tXr27Klnn322VvuDU/Lz85WYmGi9Lrro\\\n",
       "oirrHz9+XBIrvwIILbadAODWgQMH9P7770uSMjIyHI599tln1vNLP/30k8OqlzfddJOOHDmiKVOm\\\n",
       "KCsrSxkZGVq+fLnDQjPPPfecIiIidMMNN6ikpESZmZmaO3du0D9TfWS321VaWqrXXntNr732mjIy\\\n",
       "MrRlyxaP9RctWhTykaHWrVs73ODa7XaHIDVz5kzNnDnTWljI08imaZqKi4tzeywnJ8fj9RMTE7V7\\\n",
       "92516NBBERER2rZtm84++2yXtqOionxedKVJkyaKiopSZmamVqxYUaMpsunp6VZ43rVrl84666xq\\\n",
       "z4mKilJZWZn1vlWrVn5fH1Xzd9uJ/Px86+c1a9ZUe47z/78CQG0jEAJwq127dl791trd4h7jx4/X\\\n",
       "+PHjPZ4TFxenOXPmaM6cOTXpYljaunWrcnJylJSU5PZ4UVFR0PuQnJysZ555RmPGjPEqUFWOgjgL\\\n",
       "5hTX9u3bV9k3wzBUUVGhFi1a6MiRIz61XV5ermXLltWof6eHQenUiOczzzyj+++/3+M50dHRbgNo\\\n",
       "Zmam/vOf/9SoP3DlbyC02WzWz572jjy9flW/4AGA2sCUUQCoZzztAylJV199dVCvbbfbdeLECY0e\\\n",
       "PVoVFRVerSxaVX9DLTs7OyTXdTet1nkqrTNPo5E1Dadwz59nCG02m/Ly8qzX6tWrvb7O6e9nzJgR\\\n",
       "tM8FAM4IhADQgKxfvz5obScmJrqMmOTl5VV7XlRU3Z6MUte27/BVZGRkqLvQIAVzURlPI/yVJk+e\\\n",
       "XJOuA4BP6va/0gAQ5nxdbKK2txowDMOrPtblRTOCtXehP/z9nury91tf+Ttl1BvupktXtsGfJYDa\\\n",
       "Vr9/LQoAAAAA8BsjhAAAAE6COULoDiODAEKFQAgAAOCktgMhAIQKgRAAAMAJgRBAuCAQAgAAOCEQ\\\n",
       "AggXBEIAAAAnBEIA4YJVRgEAAAAgTDFCCAAA4IQRQgDhgkAIAADghEAIIFwQCAEAAJwQCAGECwIh\\\n",
       "AACAEwIhgHBBIAQAAHCDoAcgHLDKKAAAAACEKUYIAQAAnDBlFEC4IBACAAA4IRACCBcEQgAAACcE\\\n",
       "QgDhgkAIAADghEAIIFwQCAEAAJwQCAGECwIhAACAEwIhgHDBthMAAAAAEKYYIQQAAHDCCCGAcEEg\\\n",
       "BAAAcEIgBBAuCIQAAABOCIQAwgWBEAAAwAmBEEC4IBACAAA4IRACCBesMgoAAAAAYYoRQgAAACeM\\\n",
       "EAIIFwRCAAAAJwRCAOGCQAgAAOCEQAggXBAIAQAAnBAIAYQLAiEAAIATAiGAcMEqowAAAAAQphgh\\\n",
       "BAAAcMIIIYBwQSAEAABwg6AHIBwQCAEAAJwwQgggXBAIAQAAnBAIAYQLAiEAAIATAiGAcEEgBAAA\\\n",
       "cEIgBBAu2HYCAAAAAMIUI4QAAABOGCEEEC4IhAAAAE4IhADCBYEQAADACYEQQLggEAIAADghEAII\\\n",
       "FwRCAAAAJwRCAOGCVUYBAAAAIEwxQggAAOAkmCOEnuqbpulTOwAQCIwQAgAAOKkMhN6+AiEtLS0g\\\n",
       "7QCALxghBAAAcBLMEULnkcDK8w8fPuxTOwAQCARCAA3etGnTQt0FAPWMP4EwPz9fiYmJVnm3bt20\\\n",
       "evXqoPQPAAKFQAgAAODE3xHC/Px86+c1a9ZUe+5bb71l/cwzhABCgUAIAAAQIDabzfq5W7du1dYf\\\n",
       "Pnx4MLsDANUiEAIAADjxZ4TQZrMpLy/Pp2tUYnQQQKiwyigAr9x1110yDEOzZs2qtu6cOXPUrl07\\\n",
       "xcXFqW/fvtqwYYPD8eLiYo0bN04pKSmy2Wy64YYbWEwBQJ0SzFVGv/32W8IggDqDQAigWu+9957W\\\n",
       "rVun9PT0ausuWrRIEydO1NSpU7V582Z1795dmZmZys7Oturcd999+uCDD7R48WJ98cUXOnjwoK6/\\\n",
       "/vpgfgQA8EkwA2H37t3dXuvss88O5EcAAK8QCAFU6cCBA7r77ru1YMECRUdHV1t/5syZuuOOO3Tr\\\n",
       "rbeqS5cumjdvnho1aqTXXntNkpSTk6NXX31VM2fO1OWXX66ePXvq9ddf15o1a7Ru3bpgfxwA8Fpt\\\n",
       "7kEoST/88EPA2gIAbxEIAXhkt9s1fPhw/elPf9K5555bbf3S0lJt2rRJAwYMsMoiIiI0YMAArV27\\\n",
       "VpK0adMmlZWVOdTp3Lmz2rZta9UBgFAL5gihaZoeXwBQ21hUBoBHTz75pKKionTPPfd4Vf/o0aOq\\\n",
       "qKhQamqqQ3lqaqq+//57SVJWVpZiYmKUnJzsUicrK8tj2yUlJSopKbHe5+bmevkpAAAA4AkjhAAk\\\n",
       "SQsWLJDNZrNeX3zxhZ5//nnNnz8/oFOi/DVjxgwlJSVZrzZt2oS6SwAasGCOEAJAXUIgBCBJGjx4\\\n",
       "sLZu3Wq91qxZo+zsbLVt21ZRUVGKiorS3r179cc//lHt2rVz20azZs0UGRnpsmLo4cOHlZaWJklK\\\n",
       "S0tTaWmpTp486bGOO5MnT1ZOTo712r9/f40+LwBUhUAIIFwwZRSAJCkxMVGJiYnW+zFjxmjQoEEO\\\n",
       "dTIzMzV8+HDdeuutbtuIiYlRz549tXLlSg0ZMkTSqecQV65cqfHjx0uSevbsqejoaK1cuVI33HCD\\\n",
       "JGnnzp3at2+f+vXr57F/sbGxio2NrclHBACv+bMPIQDURwRCAG6lpKQoJSXFoSw6OlppaWkOS6Nf\\\n",
       "ccUV+s1vfmMFvokTJ2rkyJHq1auX+vTpo1mzZqmgoMAKkUlJSRo9erQmTpyopk2bqnHjxrr77rvV\\\n",
       "r18/XXDBBbX3AQGgCgRCAOGCQAigRn766ScdPXrUen/TTTfpyJEjmjJlirKyspSRkaHly5c7LDTz\\\n",
       "3HPPKSIiQjfccINKSkqUmZmpuXPnhqL7AOAWgRBAuDBM1jgGUA/l5uZq5syZ3IgBcOuRRx5RTk6O\\\n",
       "Gjdu7NN5iYmJys/P18GDB70+Nzc3V+np6bLZbMrLy/OnuwAQMiwqAwAAAABhiimjAAAATpgyCiBc\\\n",
       "EAgBAACcEAgBhAsCIQAAgBMCIYBwQSAEAABwQiAEEC4IhAAAAE4IhADCBauMAgAAAECYYoQQAADA\\\n",
       "CSOEAMIFgRAAAMAJgRBAuCAQAgAAOCEQAggXBEIAAAAnBEIA4YJACAAA4IRACCBcsMooAAAAAIQp\\\n",
       "RggB1EumaYa6CwDquJr8/0ReXp7XI395eXl+XwcAQs0wuasCUA/98ssvatOmTai7AaAO279/v1q3\\\n",
       "bu3TOT169NDWrVv9ul5GRoa2bNni17kAECoEQgD1kt1u18GDB5WYmBjWz+/k5uaqTZs22r9/vxo3\\\n",
       "bhzq7oQM38MpfA+nmKapvLw8paenKyLC96djevTooR9//NGnczp27EgYBFAvEQgBoB7Lzc1VUlKS\\\n",
       "cnJywjoA8D2cwvcAAPAVi8oAAAAAQJgiEAIAAABAmCIQAkA9Fhsbq6lTpyo2NjbUXQkpvodT+B4A\\\n",
       "AL7iGUIAAAAACFOMEAIAAABAmCIQAgAAAECYIhACAAAAQJgiEAJAHVJWVqZJkyapa9euSkhIUHp6\\\n",
       "ukaMGKGDBw9We+6cOXPUrl07xcXFqW/fvtqwYYPD8eLiYo0bN04pKSmy2Wy64YYbdPjw4WB9lBqp\\\n",
       "7rM4W7x4sTp37qy4uDh17dpVH330kcNx0zQ1ZcoUtWzZUvHx8RowYIB27doVzI9QYzNmzFDv3r2V\\\n",
       "mJioFi1aaMiQIdq5c2e15zXE7wIAEDwEQgCoQwoLC7V582Y9/PDD2rx5s/71r39p586dGjx4cJXn\\\n",
       "LVq0SBMnTtTUqVO1efNmde/eXZmZmcrOzrbq3Hffffrggw+0ePFiffHFFzp48KCuv/76YH8kn3nz\\\n",
       "WU63Zs0aDRs2TKNHj9aWLVs0ZMgQDRkyRN99951V56mnntILL7ygefPmaf369UpISFBmZqaKi4tr\\\n",
       "62P57IsvvtC4ceO0bt06rVixQmVlZbrqqqtUUFDg8ZyG+l0AAILIBADUaRs2bDAlmXv37vVYp0+f\\\n",
       "Pua4ceOs9xUVFWZ6ero5Y8YM0zRN8+TJk2Z0dLS5ePFiq86OHTtMSebatWuD13k/VPdZnN14443m\\\n",
       "wIEDHcr69u1r3nnnnaZpmqbdbjfT0tLMp59+2jp+8uRJMzY21nznnXeC8AmCIzs725RkfvHFFx7r\\\n",
       "hMt3AQAIHEYIAaCOy8nJkWEYSk5Odnu8tLRUmzZt0oABA6yyiIgIDRgwQGvXrpUkbdq0SWVlZQ51\\\n",
       "OnfurLZt21p16gJvPouztWvXOtSXpMzMTKv+nj17lJWV5VAnKSlJffv2rVOfvTo5OTmSpKZNm3qs\\\n",
       "Ey7fBQAgcAiEAFCHFRcXa9KkSRo2bJgaN27sts7Ro0dVUVGh1NRUh/LU1FRlZWVJkrKyshQTE+MS\\\n",
       "Kk+vUxd481mcZWVlVfvZK8u8bbOusdvtmjBhgi666CKdd955HuuFw3cBAAgsAiEAhNCCBQtks9ms\\\n",
       "15dffmkdKysr04033ijTNPXiiy+GsJcItXHjxum7777TwoULQ90VAEADExXqDgBAOBs8eLD69u1r\\\n",
       "vW/VqpWk/4XBvXv36tNPP/U4OihJzZo1U2RkpMuKoYcPH1ZaWpokKS0tTaWlpTp58qTDKOHpdeoC\\\n",
       "bz6Ls7S0tGo/e2VZy5YtHepkZGQEsPfBMX78eH344YdatWqVWrduXWXdhv5dAAACjxFCAAihxMRE\\\n",
       "dezY0XrFx8dbYXDXrl365JNPlJKSUmUbMTEx6tmzp1auXGmV2e12rVy5Uv369ZMk9ezZU9HR0Q51\\\n",
       "du7cqX379ll16gJvPouzfv36OdSXpBUrVlj127dvr7S0NIc6ubm5Wr9+fZ367M5M09T48eP13nvv\\\n",
       "6dNPP1X79u2rPaehfhcAgCAK9ao2AID/KS0tNQcPHmy2bt3a3Lp1q3no0CHrVVJSYtW7/PLLzb/9\\\n",
       "7W/W+4ULF5qxsbHm/Pnzze3bt5tjxowxk5OTzaysLKvOXXfdZbZt29b89NNPzY0bN5r9+vUz+/Xr\\\n",
       "V6ufzxvVfZbhw4ebf/7zn636q1evNqOiosxnnnnG3LFjhzl16lQzOjra/O9//2vVeeKJJ8zk5GRz\\\n",
       "6dKl5rfffmted911Zvv27c2ioqJa/3zeGjt2rJmUlGR+/vnnDn8PCgsLrTrh8l0AAIKHQAgAdcie\\\n",
       "PXtMSW5fn332mVXvjDPOMKdOnepw7t/+9jezbdu2ZkxMjNmnTx9z3bp1DseLiorMP/zhD2aTJk3M\\\n",
       "Ro0amb/5zW/MQ4cO1cKn8l1Vn6V///7myJEjHeq/++675llnnWXGxMSY5557rrls2TKH43a73Xz4\\\n",
       "4YfN1NRUMzY21rziiivMnTt31sZH8Zunvwevv/66VSdcvgsAQPAYpmmaoRmbBAAAAACEEs8QAgAA\\\n",
       "AECYIhACAAAAQJgiEAIAAABAmCIQAgAAAECYIhACAAAAQJgiEAIAAABAmCIQAgAAAECYIhACAAAA\\\n",
       "QJgiEAIA6oVXX31VV111VdCvs3z5cmVkZMhutwf9WgAAhBqBEABQ5xUXF+vhhx/W1KlTg36tq6++\\\n",
       "WtHR0VqwYEHQrwUAQKgRCAEAdd4///lPNW7cWBdddFGtXG/UqFF64YUXauVaAACEEoEQAFBrjhw5\\\n",
       "orS0ND3++ONW2Zo1axQTE6OVK1d6PG/hwoUaNGiQQ9mll16qCRMmOJQNGTJEo0aNst63a9dOjz32\\\n",
       "mEaMGCGbzaYzzjhD77//vo4cOaLrrrtONptN3bp108aNGx3aGTRokDZu3KiffvrJ/w8LAEA9QCAE\\\n",
       "ANSa5s2b67XXXtMjjzyijRs3Ki8vT8OHD9f48eN1xRVXeDzvq6++Uq9evfy65nPPPaeLLrpIW7Zs\\\n",
       "0cCBAzV8+HCNGDFCt9xyizZv3qwOHTpoxIgRMk3TOqdt27ZKTU3Vl19+6dc1AQCoLwiEAIBadc01\\\n",
       "1+iOO+7QzTffrLvuuksJCQmaMWOGx/onT55UTk6O0tPT/b7enXfeqU6dOmnKlCnKzc1V7969NXTo\\\n",
       "UJ111lmaNGmSduzYocOHDzucl56err179/p1TQAA6gsCIQCg1j3zzDMqLy/X4sWLtWDBAsXGxnqs\\\n",
       "W1RUJEmKi4vz61rdunWzfk5NTZUkde3a1aUsOzvb4bz4+HgVFhb6dU0AAOoLAiEAoNb99NNPOnjw\\\n",
       "oOx2u37++ecq66akpMgwDJ04caLadisqKlzKoqOjrZ8Nw/BY5rzNxPHjx9W8efNqrwkAQH1GIAQA\\\n",
       "1KrS0lLdcsstuummm/Too4/q9ttvdxmdO11MTIy6dOmi7du3uxxznua5e/fugPSxuLhYP/30k3r0\\\n",
       "6BGQ9gAAqKsIhACAWvWXv/xFOTk5euGFFzRp0iSdddZZuu2226o8JzMzU1999ZVL+dKlS/Wvf/1L\\\n",
       "P/30k/76179q+/bt2rt3rw4cOFCjPq5bt06xsbHq169fjdoBAKCuIxACAGrN559/rlmzZunNN99U\\\n",
       "48aNFRERoTfffFNffvmlXnzxRY/njR49Wh999JFycnIcygcOHKinnnpKXbp00apVqzR37lxt2LBB\\\n",
       "b775Zo36+c477+jmm29Wo0aNatQOAAB1nWGevs42AAB11NChQ3X++edr8uTJkk7tQ5iRkaFZs2YF\\\n",
       "9DpHjx7V2WefrY0bN6p9+/YBbRsAgLqGEUIAQL3w9NNPy2azBf06P//8s+bOnUsYBACEBUYIAQD1\\\n",
       "UrBGCAEACCcEQgAAAAAIU0wZBQAAAIAwRSAEAAAAgDBFIAQAAACAMEUgBAAAAIAwRSAEAAAAgDBF\\\n",
       "IAQAAACAMEUgBAAAAIAwRSAEAAAAgDBFIAQAAACAMEUgBAAAAIAwRSAEAAAAgDBFIAQAAACAMEUg\\\n",
       "BAAAAIAwRSAEAAAAgDD1/xBMHCfaEmViAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "  frames[45] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAaDpJREFUeJzt3Xl8VNXh///3nexkAwIkhF1kEUnYhdQFlVRsEaQqKhVBS3HD\\\n",
       "BflULS6AiOIuUkS+1larRUFaBbdiERFENlkVRVT2LezZQ7a5vz/4ZcqsmZnMZJLM6/l4zKOZc889\\\n",
       "98yAzX1zzj3HME3TFAAAAAAg7FhC3QEAAAAAQGgQCAEAAAAgTBEIAQAAACBMEQgBAAAAIEwRCAEA\\\n",
       "AAAgTBEIAQAAACBMEQgBAAAAIEwRCAEAAAAgTBEIAQAAACBMEQgBAAAAIEwRCAEAAAAgTBEIAQAA\\\n",
       "ACBMEQgBAAAAIEwRCAEAAAAgTBEIAQB++fLLL2UYhr788stQdwUBtn79ekVHR2vv3r21fu0TJ04o\\\n",
       "Pj5en376aa1fGwDCEYEQAODRnDlz9Oabb4a6G3555513NHPmzFB3Q5JktVr17LPPqkOHDoqNjVVm\\\n",
       "Zqbeffddr8/Pzc3VbbfdpubNmys+Pl6XXXaZNm3a5FRvwYIFGjVqlDp16iTDMHTppZf63NdHHnlE\\\n",
       "I0eOVLt27Xw+t6ZSUlL0xz/+UY899litXxsAwpFhmqYZ6k4AAOqu7t27q1mzZk4jgVarVWVlZYqO\\\n",
       "jpbFUjf/ffGqq67Stm3btGfPnlB3RZMmTdLTTz+tcePGqV+/flq8eLE++eQTvfvuu7rxxhs9nmu1\\\n",
       "WnXxxRdr69ateuCBB9SsWTPNmTNH+/fv18aNG9WpUydb3UsvvVQbN25Uv379tGXLFmVmZvo0irtl\\\n",
       "yxb16tVLq1evVlZWlr8ft0a2b9+ubt26admyZbr88stD0gcACBcEQgDwQlFRkeLj40PdjZBwFwjr\\\n",
       "g7oSCA8ePKgOHTrotttu0+zZsyVJpmlq4MCB2r17t/bs2aOIiAi357/33nu64YYbtHDhQl133XWS\\\n",
       "pGPHjqlz5876zW9+o3feecdWd//+/WrVqpUsFotff3b33XefFi1apD179sgwDP8+cABkZGSoV69e\\\n",
       "euutt0LWBwAIB3Xzn3QBIIgOHjyosWPHKj09XTExMerQoYPuvPNOlZWVSZLefPNNGYahFStW6K67\\\n",
       "7lKLFi3UunVr2/lz5szR+eefr5iYGKWnp2v8+PHKzc21u8bPP/+sa6+9VmlpaYqNjVXr1q114403\\\n",
       "Ki8vz1Zn6dKluuiii9S4cWMlJCSoS5cuevjhh6vtvzfnlZaWasqUKTr33HMVExOjNm3a6MEHH1Rp\\\n",
       "aalTe//85z91wQUXqFGjRmrSpIkuueQS/fe//5UktW/fXt9//71WrFghwzDspiC6e4Zw4cKF6tOn\\\n",
       "j+Li4tSsWTONGjVKBw8etKtzyy23KCEhQQcPHtTw4cOVkJCg5s2b609/+pMqKyur/Q4WL16sIUOG\\\n",
       "2P4MO3bsqCeeeMLu3EsvvVSffPKJ9u7da+t7+/bt3bZ5yy232Oo5vqZOnVptn6rrb3l5ue666y5b\\\n",
       "mWEYuvPOO3XgwAGtWbPG4/n/+te/lJqaqmuuucZW1rx5c11//fVavHix3Z9rmzZtajRiu2jRIl1+\\\n",
       "+eVOYdDd99C+fXvdcssttvdV//2sWrVK9957r5o3b67GjRvr9ttvV1lZmXJzczV69Gg1adJETZo0\\\n",
       "0YMPPihX/zb961//Wh999JHLYwCAwIkMdQcAoDYdOnRIF1xwge15rK5du+rgwYP617/+peLiYkVH\\\n",
       "R9vq3nXXXWrevLkmT56soqIiSdLUqVP1+OOPKzs7W3feead27NihV199Vd98842+/vprRUVFqays\\\n",
       "TIMHD1ZpaanuuecepaWl6eDBg/r444+Vm5ur5ORkff/997rqqquUmZmpadOmKSYmRr/88ou+/vpr\\\n",
       "j/335jyr1aphw4Zp1apVuu2223Teeefpu+++00svvaSffvpJixYtstV9/PHHNXXqVP3qV7/StGnT\\\n",
       "FB0drXXr1umLL77QFVdcoZkzZ+qee+5RQkKCHnnkEUlSamqq2/69+eabuvXWW9WvXz/NmDFDR44c\\\n",
       "0csvv6yvv/5amzdvVuPGjW11KysrNXjwYPXv31/PP/+8Pv/8c73wwgvq2LGj7rzzTo/fw5tvvqmE\\\n",
       "hARNnDhRCQkJ+uKLLzR58mTl5+frueeek3TmObi8vDwdOHBAL730kiQpISHBbZu33367srOz7cqW\\\n",
       "LFmiefPmqUWLFray48ePe+xblcTERMXExEiSNm/erPj4eJ133nl2dS644ALb8YsuushtW5s3b1bv\\\n",
       "3r2dgt4FF1yg1157TT/99JMyMjK86pcnBw8e1L59+9S7d+8at1X1d//xxx/X2rVr9dprr6lx48Za\\\n",
       "vXq12rZtq6eeekqffvqpnnvuOXXv3l2jR4+2O79Pnz566aWX9P3336t79+417g8AwA0TAMLI6NGj\\\n",
       "TYvFYn7zzTdOx6xWq2mapvnGG2+YksyLLrrIrKiosB0/evSoGR0dbV5xxRVmZWWlrXz27NmmJPPv\\\n",
       "f/+7aZqmuXnzZlOSuXDhQrf9eOmll0xJ5rFjx3zqvzfnvf3226bFYjG/+uoru/K5c+eaksyvv/7a\\\n",
       "NE3T/Pnnn02LxWL+7ne/s/s8pvm/78I0TfP88883Bw4c6HSd5cuXm5LM5cuXm6ZpmmVlZWaLFi3M\\\n",
       "7t27myUlJbZ6H3/8sSnJnDx5sq1szJgxpiRz2rRpdm326tXL7NOnj+cvwTTN4uJip7Lbb7/dbNSo\\\n",
       "kXn69Glb2ZAhQ8x27dpV254rP//8s5mcnGz++te/tvt7IMmr1xtvvGHXj3POOcfpGkVFRaYk889/\\\n",
       "/rPHvsTHx5t/+MMfnMo/+eQTU5K5ZMkSl+e5+7Nz5/PPPzclmR999JHTMUnmlClTnMrbtWtnjhkz\\\n",
       "xva+6r+fwYMH2/09ysrKMg3DMO+44w5bWUVFhdm6dWuXfVy9erUpyVywYIHX/QcA+I4powDChtVq\\\n",
       "1aJFizR06FD17dvX6bjjFLlx48bZPdf1+eefq6ysTBMmTLAbqRk3bpySkpL0ySefSJKSk5MlSZ99\\\n",
       "9pmKi4td9qVqpGzx4sWyWq1efwZvzlu4cKHOO+88de3aVcePH7e9qhbnWL58uaQzUwOtVqsmT57s\\\n",
       "NPLkz7NjGzZs0NGjR3XXXXcpNjbWVj5kyBB17drV9v2c7Y477rB7f/HFF2vXrl3VXisuLs72c0FB\\\n",
       "gY4fP66LL75YxcXF+vHHH33uu6OioiL97ne/U5MmTfTuu+/a/T1YunSpV6/BgwfbzikpKbGNFp6t\\\n",
       "6nsqKSnx2J+anu+tEydOSJKaNGlS47bGjh1r9/eof//+Mk1TY8eOtZVFRESob9++Lv/Mq/rg7Ygs\\\n",
       "AMA/TBkFEDaOHTum/Px8r6efdejQwe591Z5sXbp0sSuPjo7WOeecYzveoUMHTZw4US+++KLmzZun\\\n",
       "iy++WMOGDdOoUaNsYfGGG27Q66+/rj/+8Y/685//rEGDBumaa67Rdddd5/H5L2/O+/nnn7V9+3Y1\\\n",
       "b97cZRtHjx6VJO3cuVMWi0XdunXz6vuojrvvR5K6du2qVatW2ZXFxsY69bFJkyY6depUtdf6/vvv\\\n",
       "9eijj+qLL75Qfn6+3bGzn9P017hx47Rz506tXr1aKSkpdsccp5V6Iy4uzuXzm6dPn7YdD+b5vjID\\\n",
       "8Nxe27Zt7d5X/d1v06aNU7mrP/OqPoRyYRsACAcEQgBwoyY32S+88IJuueUWLV68WP/973917733\\\n",
       "asaMGVq7dq1at26tuLg4rVy5UsuXL9cnn3yiJUuWaMGCBbr88sv13//+1+2Kk96cZ7ValZGRoRdf\\\n",
       "fNFlG4435KHiaVVNT3JzczVw4EAlJSVp2rRp6tixo2JjY7Vp0yY99NBDPo24uvLyyy/r3Xff1T//\\\n",
       "+U/17NnT6XhOTo5X7SQnJ9v+DrVs2VLLly+XaZp2Aefw4cOSpPT0dI9ttWzZ0lb3bN6e762q8OtN\\\n",
       "KK/iLjy6+/N1Ve6qjao+NGvWzOu+AAB8x5RRAGGjefPmSkpK0rZt2/w6v2qT7h07dtiVl5WVaffu\\\n",
       "3U6beGdkZOjRRx/VypUr9dVXX+ngwYOaO3eu7bjFYtGgQYP04osv6ocfftCTTz6pL774wjal053q\\\n",
       "zuvYsaNOnjypQYMGKTs72+lVNYLXsWNHWa1W/fDDDx6v5+0Ijbvvp6osUJucf/nllzpx4oTefPNN\\\n",
       "3XfffbrqqquUnZ3tcpqjr6NLX331lf70pz9pwoQJuummm1zWadmypVevBQsW2M7p2bOniouLtX37\\\n",
       "dru21q1bZzvuSc+ePbVp0yansLtu3To1atRInTt39ulzutO1a1dJ0u7du10eLygocCqrGnEOtKo+\\\n",
       "OC7EAwAILAIhgLBhsVg0fPhwffTRR9qwYYPT8eqmyWVnZys6OlqzZs2yq/u3v/1NeXl5GjJkiCQp\\\n",
       "Pz9fFRUVdudmZGTIYrHYpv2dPHnSqf2qUOBqamAVb867/vrrdfDgQf31r391qltSUmJbMXX48OGy\\\n",
       "WCyaNm2aU9A4+/PFx8c7bavhSt++fdWiRQvNnTvX7jP85z//0fbt223fT01VjTCd3ceysjLNmTPH\\\n",
       "qW58fLzXU0gPHz6s66+/XhdddJFtpVJX/HmG8Oqrr1ZUVJRdH03T1Ny5c9WqVSv96le/suvHjz/+\\\n",
       "qPLyclvZddddpyNHjuj999+3lR0/flwLFy7U0KFDXT5f6I9WrVqpTZs2Lv/7kOS0xch//vMfnT59\\\n",
       "OihbQ2zcuFHJyck6//zzA942AOB/mDIKIKw89dRT+u9//6uBAwfatmQ4fPiwFi5cqFWrVtlti+Co\\\n",
       "efPmmjRpkh5//HFdeeWVGjZsmHbs2KE5c+aoX79+GjVqlCTpiy++0N13360RI0aoc+fOqqio0Ntv\\\n",
       "v62IiAhde+21kqRp06Zp5cqVGjJkiNq1a6ejR49qzpw5at26tcftB7w57+abb9Z7772nO+64Q8uX\\\n",
       "L9eFF16oyspK/fjjj3rvvff02WefqW/fvjr33HP1yCOP6IknntDFF1+sa665RjExMfrmm2+Unp6u\\\n",
       "GTNmSDqz/P+rr76q6dOn69xzz1WLFi1sC9ScLSoqSs8884xuvfVWDRw4UCNHjrRtO9G+fXvdf//9\\\n",
       "/v6x2fnVr36lJk2aaMyYMbr33ntlGIbefvttl6GkT58+WrBggSZOnKh+/fopISFBQ4cOddnuvffe\\\n",
       "q2PHjunBBx/U/Pnz7Y5lZmYqMzNTkn/PELZu3VoTJkzQc889p/LycvXr10+LFi3SV199pXnz5tlN\\\n",
       "o5w0aZL+8Y9/aPfu3bZ9E6+77joNGDBAt956q3744Qc1a9ZMc+bMUWVlpR5//HG7a61cuVIrV66U\\\n",
       "dOa52aKiIk2fPl2SdMkll+iSSy7x2Nerr75aH3zwgdP0Vknavn27fvvb32rYsGE6dOiQXn75ZSUn\\\n",
       "J2v16tV69913NXLkSJ+/G3eWLl2qoUOH8gwhAARbKJY2BYBQ2rt3rzl69GizefPmZkxMjHnOOeeY\\\n",
       "48ePN0tLS03T/N+y+a62pjDNM9tMdO3a1YyKijJTU1PNO++80zx16pTt+K5du8w//OEPZseOHc3Y\\\n",
       "2FizadOm5mWXXWZ+/vnntjrLli0zr776ajM9Pd2Mjo4209PTzZEjR5o//fSTx757e15ZWZn5zDPP\\\n",
       "mOeff74ZExNjNmnSxOzTp4/5+OOPm3l5eXZ1//73v5u9evWy1Rs4cKC5dOlS2/GcnBxzyJAhZmJi\\\n",
       "oinJtkWA47YTVRYsWGBrr2nTpuZNN91kHjhwwK7OmDFjzPj4eKfPN2XKFNObX01ff/21OWDAADMu\\\n",
       "Ls5MT083H3zwQfOzzz5z6k9hYaH5+9//3mzcuLEpyeMWFAMHDnS7hYSr7RZ8VVlZaT711FNmu3bt\\\n",
       "zOjoaPP88883//nPfzrVq9qSY/fu3XblJ0+eNMeOHWumpKSYjRo1MgcOHOjy72jVd+jv59i0aZMp\\\n",
       "yWnbEknmxIkTzREjRphxcXFmy5YtzdmzZ5tz5841GzVqZP7xj380TdP9fz9V/XLcMsXV34Xt27eb\\\n",
       "kuz+mwEABIdhmkGY5wEAAOqtQYMGKT09XW+//batzDAMTZkyRVOnTg369SdMmKCVK1dq48aNjBAC\\\n",
       "QJDxDCEAALDz1FNPacGCBbatRGrTiRMn9Prrr2v69OmEQQCoBTxDCAAA7PTv319lZWUhuXZKSooK\\\n",
       "CwtDcm0ACEeMEAIAAABAmGKEEAAAVIslBwCgYWKEEAAAAADCFIEQAAAAAMIUU0YB1EtWq1WHDh1S\\\n",
       "YmIiKxECsGOapgoKCpSeni6Lxfd/++7Ro4d27tzp0zkdO3bU1q1bfb4WAIQa+xACqJcOHDig119/\\\n",
       "PdTdAFBHPf7449q/f79at27t03k9evTQt99+69c1MzMzCYUA6h1GCAHUS4mJiZLE6CAAt6r+f8IX\\\n",
       "vo4M+nuuq//vqvo3+htvvFELFixweR7/jg8g0AiEAOolgiCA6tT0/ye8PT/QIW3x4sUBbQ8APCEQ\\\n",
       "AgAAODAMw6dA6WsoPLu+43VKSkpc9qfqfxklBBBIrDIKAADgoCoQevuSpKKiIiUkJNheWVlZAe9X\\\n",
       "fHx8wNsEEN4YIQQAAHDg6whhlaKiItvPa9euDUhfevToYfu5sLAwIG0CQBUCIQAAgAN/A+HZI3gZ\\\n",
       "GRk17seNN95oW/WU0UEAwUAgBAAAcOBPIIyPjw/oCJ7jaqOMDgIIBp4hBAAAqGMcwyALyQAIFgIh\\\n",
       "AACAA38WlfFF06ZNnc6teu9qH8KqY1deeWWNPxsAnI0powAAAA78DXreOnXqlNtj7jall6TPPvss\\\n",
       "GN0BEMYIhAAAAA6CHQiZAgqgriAQAgAAOAh2IASAuoJACAAA4IBACCBcsKgMAAAAAIQpRggBAAAc\\\n",
       "MEIIIFwwQgjAa08//bQMw9CECRM81lu4cKG6du2q2NhYZWRk6NNPP7U7bpqmJk+erJYtWyouLk7Z\\\n",
       "2dn6+eefg9hzAPBNsLedAIC6gkAIwCvffPON/t//+3/KzMz0WG/16tUaOXKkxo4dq82bN2v48OEa\\\n",
       "Pny4tm3bZqvz7LPPatasWZo7d67WrVun+Ph4DR48WKdPnw72xwAArxAIAYQLAiGAahUWFuqmm27S\\\n",
       "X//6VzVp0sRj3ZdffllXXnmlHnjgAZ133nl64okn1Lt3b82ePVvSmdHBmTNn6tFHH9XVV1+tzMxM\\\n",
       "vfXWWzp06JAWLVpUC58GAKpHIAQQLgiEAKo1fvx4DRkyRNnZ2dXWXbNmjVO9wYMHa82aNZKk3bt3\\\n",
       "Kycnx65OcnKy+vfvb6vjSmlpqfLz8+1eABAsBEIA4YJACMCj+fPna9OmTZoxY4ZX9XNycpSammpX\\\n",
       "lpqaqpycHNvxqjJ3dVyZMWOGkpOTba82bdr48jEAAADgAoEQgFv79+/Xfffdp3nz5ik2NjakfZk0\\\n",
       "aZLy8vJsr/3794e0PwAaNkYIAYQLtp0A4NbGjRt19OhR9e7d21ZWWVmplStXavbs2SotLVVERITd\\\n",
       "OWlpaTpy5Ihd2ZEjR5SWlmY7XlXWsmVLuzo9e/Z025eYmBjFxMTU9CMBgFcIegDCBSOEANwaNGiQ\\\n",
       "vvvuO23ZssX26tu3r2666SZt2bLFKQxKUlZWlpYtW2ZXtnTpUmVlZUmSOnTooLS0NLs6+fn5Wrdu\\\n",
       "na0OANQFjA4CCAeMEAJwKzExUd27d7cri4+PV0pKiq189OjRatWqle0Zw/vuu08DBw7UCy+8oCFD\\\n",
       "hmj+/PnasGGDXnvtNUmy7WM4ffp0derUSR06dNBjjz2m9PR0DR8+vFY/HwC440vYIxQCqM8IhABq\\\n",
       "ZN++fbJY/jfZ4Fe/+pXeeecdPfroo3r44YfVqVMnLVq0yC5YPvjggyoqKtJtt92m3NxcXXTRRVqy\\\n",
       "ZEnIn1MEgCoEQgDhwjBN0wx1JwDAV/n5+XrxxRe5EQPg0tSpU5WXl6ekpCSfzktISFBRUZGaNWtm\\\n",
       "949dnlitVh0/flzx8fEqLCz0p7sAEDI8QwgAAAAAYYopowAAAA6YMgogXBAIAQAAHBAIAYQLAiGA\\\n",
       "Bm/KlCmh7gKAAHr88ceDfg0CIYBwQSAEAABwQCAEEC4IhAAAAA4IhADCBauMAgAAAECYYoQQAADA\\\n",
       "ASOEAMIFgRAAAMABgRBAuCAQAgAAOCAQAggXBEIAAAAHBEIA4YJACAAA4IBACCBcsMooAAAAAIQp\\\n",
       "RggBAAAcMEIIIFwQCAEAABwQCAGECwIhAACAAwIhgHBBIAQAAHBAIAQQLgiEAAAALhD0AIQDVhkF\\\n",
       "AAAAgDDFCCEAAIADpowCCBcEQgAAAAcEQgDhgkAIAADggEAIIFwQCAEAABwQCAGECwIhAACAAwIh\\\n",
       "gHBBIAQAAHBAIAQQLth2AgAAAADCFCOEAAAADhghBBAuCIQAAAAOCIQAwgVTRgEAABxUBUJvX4Fo\\\n",
       "/2xbt24NyHUAoDoEQgAAAAfBDoTV6dmzp8vyHj16BPxaAMIbU0YBAAAcBHvKqGmabs/funWrU724\\\n",
       "uDidPn1a3377rc/XAgBPGCEEAACoQ1yNDpaUlNR+RwCEBQIhAACAA3+mjBYVFSkhIcH2ysrKCvGn\\\n",
       "AIDqMWUUAADAgb9TRouKimw/r127NuD9AoBAIxACAAA48DcQxsfH237OyMgIeL8AINAIhAAAAA78\\\n",
       "CYTx8fEqLCys8bW3bNni9BxhQkJCjdsFAFcIhAAAAA6Cvcpo06ZNderUKZfteFqBNDMz0+drAYAn\\\n",
       "LCoDAABQyxzDoKMtW7a4LD97SwoACARGCAEAABzU5j6ErvTo0aPaOgAQCARCAAAAF/wJegBQ3xAI\\\n",
       "AQAAHAR7hBAA6goCIQAAgAMCIYBwQSAEAABwQCAEEC4IhAAAAA4IhADCBdtOAAAAAECYYoQQAADA\\\n",
       "ASOEAMIFgRAAAMABgRBAuCAQAgAAOCAQAggXBEIAAAAHBEIA4YJACAAA4IBACCBcsMooAAAAAIQp\\\n",
       "RggBoA5zN/JgmmYt9yS0ajICU913FW6jO+H2d8dfjBACCBcEQgCoZ8Lt5tNqtQat7UOHDgWtbdRv\\\n",
       "BEIA4YJACAD1TGVlZai7UKsKCwv9Pre8vNzj8VatWvndNho2AiGAcEEgBIB6IjIystqA0xDFxcV5\\\n",
       "PF514+44krh48WJFRrr/NRcRERGQ/qFhIhACCBcsKgPArRkzZqhfv35KTExUixYtNHz4cO3YsaPa\\\n",
       "8xYuXKiuXbsqNjZWGRkZ+vTTT+2Om6apyZMnq2XLloqLi1N2drZ+/vnnYH2Mes00TdsrHMOgJEVF\\\n",
       "RbksNwxDpmnKarWqsrLS7rsyTVPDhg1z2+b7778fkKmoycnJevrpp3XFFVfUuK1AOHHihO3z12Rk\\\n",
       "Ff8LhN6+AKC+IhACcGvFihUaP3681q5dq6VLl6q8vFxXXHGFioqK3J6zevVqjRw5UmPHjtXmzZs1\\\n",
       "fPhwDR8+XNu2bbPVefbZZzVr1izNnTtX69atU3x8vAYPHqzTp0/XxsdCPeT4d+6JJ57wO9AVFhbq\\\n",
       "2muv9bsvBQUFttCVm5urhx56SJ999lnIF2sxTVNNmza1vY+Pjw95nwAAdR9TRgG4tWTJErv3b775\\\n",
       "plq0aKGNGzfqkksucXnOyy+/rCuvvFIPPPCApDM37kuXLtXs2bM1d+5cmaapmTNn6tFHH9XVV18t\\\n",
       "SXrrrbeUmpqqRYsW6cYbbwzuh0K91KhRo4CEm7S0NB05csTv86vrw8yZMzVhwgS/2/eXp+dKTdNk\\\n",
       "BMsPTBkFEC4YIQTgtby8PEmyG4VwtGbNGmVnZ9uVDR48WGvWrJEk7d69Wzk5OXZ1kpOT1b9/f1sd\\\n",
       "V0pLS5Wfn2/3Qv1gtVpVVlYW0j7s3LlThmHUKAx649577w1q+65ERkbKYvH863zx4sW11JuGgymj\\\n",
       "AMIFgRCAV6xWqyZMmKALL7xQ3bt3d1svJydHqampdmWpqanKycmxHa8qc1fHlRkzZig5Odn2atOm\\\n",
       "jb8fBbXIMAxFREQoJiYmZDfNpmnq3HPPrXE7PXr0qLZOKD6jN8+WDhs2TO+9914t9KbhIBACCBcE\\\n",
       "QgBeGT9+vLZt26b58+eH5PqTJk1SXl6e7bV///6Q9APec3WT3KdPH4/nfPPNN5ozZ05A+zFq1Civ\\\n",
       "6p29MI2rKZhbtmwJaL8CwZdptCNGjOCZQh8RBgGEAwIhgGrdfffd+vjjj7V8+XK1bt3aY11Xz2gd\\\n",
       "OXJEaWlptuNVZe7quBITE6OkpCS7FwKnS5cu6tKlS8Dac3eTvG/fPo/nXHDBBRo/frwMwwjYfouz\\\n",
       "Zs3yeLxq8ZWzp11aLBaZpqmhQ4cqNjZWxcXFXl9v+fLlfvXz888/t62YOmXKFLf1LBaLSktLCXdB\\\n",
       "xgghgHBBIATglmmauvvuu/XBBx/oiy++UIcOHao9JysrS8uWLbMrW7p0qbKysiRJHTp0UFpaml2d\\\n",
       "/Px8rVu3zlYHtW/nzp3auXNnQNr6/e9/7/bYgQMHXJa7mo7paQ9BSV7fjKekpLjdc/D222/3uD3D\\\n",
       "hx9+qJKSkmr3QjzbpZdequjoaK/rN2/eXKZpatCgQTIMQxaLRVOnTrXbQsNqtdqNXvrSPgAAnrDK\\\n",
       "KAC3xo8fr3feeUeLFy9WYmKi7Rm/5ORk2w3y6NGj1apVK82YMUOSdN9992ngwIF64YUXNGTIEM2f\\\n",
       "P18bNmzQa6+9JunMTfyECRM0ffp0derUSR06dNBjjz2m9PR0DR8+PCSfE1JFRYVP9Tt16qSdO3cq\\\n",
       "MTFRO3fuVLNmzWS1WhUfH+9x+5CYmBiX5d99951P13cMgYZhqKSkRLGxsS7rV1RU6MiRI0pPT5fV\\\n",
       "alVycrJOnToVtJGd0tJSNW7c2LYQkzuGYejo0aPVtscIVO1jlVEA4YJACMCtV199VdKZEY+zvfHG\\\n",
       "G7rlllsknZkCePZUu1/96ld655139Oijj+rhhx9Wp06dtGjRIruFaB588EEVFRXptttuU25uri66\\\n",
       "6CItWbLE7c086pazb37z8/PVvHnzGrfZqVMn/fTTT17Vveyyy1yWx8XFeZxGmZqaGrBpqN7Izc2t\\\n",
       "dpsLf/dSRPARCAGECwIhALe8eUbpyy+/dCobMWKERowY4fYcwzA0bdo0TZs2rSbdQwh4M23YHzt2\\\n",
       "7HC6qS4pKXFZ19XfuSoJCQkep4DWtpycHEVGRtZqEK1OQwgvkyZNCvq0WQIhgHDBM4QAAK/t2bOn\\\n",
       "RufHx8e7PWaaptq0aaP4+HhVVlb6NWJcVFQkwzA0ffr0mnQzoCoqKlwGhroUEuGMRWUAhAsCIQDA\\\n",
       "K4EYeSsuLva4ifq+fftUWFhY7Ubr1XnsscdsN+p1YVqm1WrVu+++a3t/6tSpGn9GBBeBEEC44LcR\\\n",
       "AMAriYmJAWnHNE2P2ypUx9eRNXcrjNa2G2+80bZSaOPGjautX1JSYgsbqampwe8g7BAIAYQLAiEA\\\n",
       "oNY9//zzfp9rsVhUXl4ewN54p6ysrFav16hRI9vPR48erTPBFgDQsBAIAQDVeuCBBwLa3smTJ2t0\\\n",
       "fmRkpEzT1AUXXBCgHrkXHx8vwzAUExMjwzBqZUP4b775xqnMarVq165dLuvzPGLgMUIIIFwQCAEA\\\n",
       "1frb3/4WsLZyc3Pd7kfoq3Xr1lUbhpKSkvxuv7KyUsXFxXZl3jz7V9PQmJmZ6bK8Y8eOdvs8dunS\\\n",
       "RYZhKDIyUoZh2PYKRc0RCAGECwIhAKBay5Yt87ruuHHjbM/KuXolJycHtG8Wi0WmabpdAbW6zeE9\\\n",
       "Wbt2rcvyoqIil+VZWVkyDEMWi6VGIcFTYI6Li7OFEMe9G1u2bOn3NWGPQAggXBAIAQDV6tWrl1c3\\\n",
       "vaZp6rXXXquFHjlr166dTNPUt99+q4suuki5ubk1HqkbMGCAy/KEhASnsv79+zsFyIcfftht25de\\\n",
       "eqkMw1D//v1dHven7wSTwCEQAggXBEIAgFesVqs+/vhjl8duvvnmWnm2zhsZGRn66quvAjIS6Wkh\\\n",
       "l1atWtl+bteundavX+9UZ8aMGS7PTU1N1YoVKyRJ69evdxsofP1Oa3vhm4aMQAggXBAIAQBeGzJk\\\n",
       "iMtpoG+99VaouxY0zz33nMvyQ4cO2cLAvn37fGrz6NGjXtf1NuTl5eUpMjKy2nqepvPWl1fVAj8E\\\n",
       "NACoOQIhAAAe/OlPf/L73EGDBnld193iOFFRUdUuZGOaZo0Wz4EzRggBhAsCIQAAQfL555+7LD92\\\n",
       "7JhTmafpqe7C4g033FBnpuo2NARCAOGCQAgAqFXt27e3u5G2WCxat25dqLsl6UxQO7tvr7/+un78\\\n",
       "8Uefb/ir26+wWbNmqqioUHx8vM455xyvQl1paant5+TkZJmmqfnz5/vUL3iPQAggXFT/sAEAAAHi\\\n",
       "6sbZNE23q3m2bdtWe/bsqZUb7qVLl+qKK66wKxs3bpzP7Xg7YhcREaHCwkKv242OjmY0sBb5EvQI\\\n",
       "hADqM0YIAQB+8TWc+HPTvG/fPtuefmdvuv7tt9+qcePGatu2bbX9SExMtN3cb9u2zW09xzDo2EZ1\\\n",
       "+vTpQ2BrQBghBBAuCIQAAJ/8+9//ttt8vVOnTtWeU92iKN5o2bKl7ea7R48eysvL0/79+2WxWGxb\\\n",
       "ODhyHIXLyMhQs2bNnOpFRUW5ve4nn3yi/Px8j3sKRkVFacOGDT58GgAA6gYCIQDAK5988okMw9B1\\\n",
       "111nV/7LL794PC8uLi7oI2dVm7yfbcSIEbJarU51T5w4IcMwVFBQoMrKSsXExKiiosJlu88++6x+\\\n",
       "+9vfSpKefPJJNW7c2GW96raGKCsrU3x8vJKTk+2eBUTdxQghgHBBIAQAODFNU82aNbO74b3qqqs8\\\n",
       "1nelvLxcp0+fDlY3nRiGoXbt2slisehf//qXx7pJSUmKjIx0G+YaNWqkBx54wK7s1KlTio2Ntbte\\\n",
       "dWG3vLxcMTExKi4uVn5+vmJjY706D6EXrDD45JNPumxn69atQfgUAOAZi8oAQJjYtm2bSktL1bt3\\\n",
       "b483sdHR0SovL/epbXftNWnSxKd2AsHXTeIdWSwWt9s8SFJJSYlP7cXExLi9DqGw7grmojKPPvqo\\\n",
       "y/KePXvydwJArWOEEAAauEceeUSGYSgjI0N9+/a1Pfv36aef2tX7+OOPZRiGz2HQE28WY6lLunTp\\\n",
       "4jEM+sPTDX6vXr0Cei1PWrRowdRGH9TGlFHTNG0vAAgVRggBoIF76qmnXJYPGTIk6Nc+fPhwvQoh\\\n",
       "P/74Y61eb8eOHbVyncjIyIAH3YbOnxHCoqIiJSQk2MozMjK0Zs0aj+eZplmv/hsB0PAwQggAdVhE\\\n",
       "RIR69Ojh9/lFRUUB7I1rERERHo+bpqn4+Hif2kxKSlJFRYVKS0tr7WbZXXCuqaFDh7o9tmvXrhq1\\\n",
       "HRERYRv99YQw6Dt/RwiLiopsr7Vr17ps+x//+IfddaowUgggFAiEAFCHWa1Wffvtt34vQuJrEPOH\\\n",
       "N/0qLCy0mx5nmqYqKyvdblSfl5eniIgIRUdHy2q1Ki4uzmW7c+bMsbVX3WqnkucprJMmTar2fH98\\\n",
       "+OGHLssjIyOVlpbmd7vNmze3raK6bds2t1tnePO9IHDi4+NtrwEDBrisM2bMGJfljBQCCAWmjAJA\\\n",
       "PREREeFyG4Xq+DslzTHoZWRkuNzY3Z8+SWcWVfH23OLiYlVWVioy8syvrZkzZ+q+++6zq9OxY0e3\\\n",
       "n9VdaD18+LBatmzp8drHjx9X8+bN7cpKSkrsVhutTjBGfo4fP273vqKiQomJiSooKLArb9u2bcCv\\\n",
       "HQ78mTIaHx9vt+9ldc7+e0EYBBAqBEIAqCfuuOMOv8+1Wq1ebw7v7qb2u+++C+lNa0REhFfB6uxQ\\\n",
       "GBcXp+LiYrd1qwuDkpzCYFW7GzZsUJ8+fao9P1iaNWvmFApd/blFR0fXVpcalGCuMgoAdQlTRgGg\\\n",
       "HoiPj9ecOXP8Pt/x5jYhIcFpCmfVy9MIR3UbsNcVVZ/FUxj0hqdn7/r27Vujtmvq0KFDXtddtWpV\\\n",
       "EHvSMNXGKqNsbA+gLiAQAkAdZrVaqw1p3jp7dC0/P9+vNqKiouxWUZSk2bNn16hf9ZnjCF1tcvfM\\\n",
       "oCsXXnihSktLq10ACP8TzECYlJTksnzw4MGB6DoA+IQpowBQhwVq5GDPnj127wsLC/3eI7CgoEB9\\\n",
       "+/bVxo0b1bZtW40fPz4APaybqgtQ+/btU7NmzWqpNzUTHR2tioqKUHej3gjmlNG8vDx/ugQAQcEI\\\n",
       "IQCEgS5duti9/81vflOj9jZs2KB9+/Zp7969NWqnvnP8XgEAqG8YIQSAMOD47N/XX39d4zbbtGlT\\\n",
       "4zbqA0+rtNbGth4IDRaVARAuGCEEgHrqxx9/tHuGafPmzaHuUoPlKhSWl5eHqDdnNG7cOKTXb+hq\\\n",
       "Y1EZAKgLCIQAUA+VlpbqvPPOsyvr3bu3vvvuO6/b8HdvvFWrVmnlypV+nVsT//73v9W+fXv16NHD\\\n",
       "aa+9mvD2e6ha4KfqVbUnYijMnDnT7XNoPJ8WGARCAOGCQAgA9VCjRo1clmdmZrosd7Uapq83sRMn\\\n",
       "TpRhGLr44os1cODAWrsJ7t69uwzD0HXXXae9e/fq22+/VVJSkp5//vkatXvs2DEZhiGLxSLDMOrN\\\n",
       "9M8tW7bo/vvvd3u8VatWtdibhotACCBcEAgBoB7y9QY0JSVFJSUltve+jg5WVFTopZdeciqfN2+e\\\n",
       "T+34qrKyUt9//73LYx999JHf7VqtVrVo0cKurLi4WI899pjfbTZu3NgWDoK5X2OvXr08Hi8qKgra\\\n",
       "tcMJgRBAuCAQAkA95G7D9bi4OLfnxMbG2qY7+iolJcVl+c033+xzW77YunWr22MrVqzwu11320lM\\\n",
       "nz7dr/YMw7CbqhkTE+Pyey4vL5fFYlF0dLRf1/nwww+97g8AAN4gEAJAHWaxWJSYmKjS0lK7cld7\\\n",
       "ysXExLgNijUVExPjsjzYwaN3794uy+vDKJjFYv8r1mq1Kjo6WqZpqry83K/vbvjw4V7XNQzD7feH\\\n",
       "6jFCCCBcEAgBoA4zTVOFhYWKjY1Vx44d7Y5FRETYLXJy+vTpoPUjJyfHZfn+/fuDds0qVqvVFq6q\\\n",
       "Rt7cPUMpnZlmWnWT/vHHHwe9f55U9ffIkSMuRyUNw9CHH36oX375RR07dlR0dLQ++OADt+35Orq7\\\n",
       "efNmp7Dia9Cpi6/S0lK7v/uuXjVFIAQQLtiHEADqiV27doXs2haLRePGjdNf//pXW1mjRo2Unp4e\\\n",
       "9GsbhqHKykqv65+9+ufQoUN9CgeLFi3ypWvVKisrcxopdHT11Vfbvb/mmmskOYe/q666yu9+RERE\\\n",
       "+PQdgn0IAYQPAiFQz+3evVtfffWV9u7dq+LiYjVv3ly9evVSVlaWYmNjQ909NCCvvfaaXnvtNRUW\\\n",
       "FiohISHU3XEpKSnJqew3v/mN/vOf/3h1vmM485anzev9lZCQoMLCQknS6dOn9cknn/jdltVqVUVF\\\n",
       "RUi3yqiPCHoAwgG/GYB6at68eXr55Ze1YcMGpaamKj09XXFxcTp58qR27typ2NhY3XTTTXrooYfU\\\n",
       "rl27UHcXAeDvQiSBVlfDoCSX+xMuX77cq3M///zzGl070KGwqKhILVu2VH5+vttnQ5s1a6aSkhKv\\\n",
       "nqmMiorSb37zm4D1r6FjhBBAuOAZQqAe6tWrl2bNmqVbbrlFe/fu1eHDh7Vx40atWrVKP/zwg/Lz\\\n",
       "87V48WJZrVb17dtXCxcuDHWXUUMWi8VpYRl/7Nmzx3ajWzX61JCkpaU5lXk7VXLQoEE1vn7jxo1r\\\n",
       "3MbZbr/9drfPhpqmqWPHjqmwsFA33HCDV+15O1IKAAgfBEKgHnr66ae1bt063XXXXWrTpo3T8ZiY\\\n",
       "GF166aWaO3eufvzxR51zzjkh6CUCwWq1yjTNgDz/tWHDBnXo0MH2PjExUWPHjq1xu3XJL7/84lTm\\\n",
       "uBprMD9zbm5uwNqyWq2aOnWqZs2a5XTMcTTznXfeCdh1cQaLygAIFwRCoB4aPHiw13VTUlLUp0+f\\\n",
       "IPYGwRTIG80BAwY4lf39738PWPt1gafVR6v48pkLCwvVtm1bff/999XW/eKLL7xutzppaWm2P/vb\\\n",
       "b7/d6bjjaGYgVtWEPQIhgHDBM4RAA3H06FEdPXpUVqvVrjwzMzNEPUJd426U8extHeo7dzfmFotF\\\n",
       "n332ma688kq3x11JTEyUJHXv3l3Sme/q7GuYpqnk5GSXzy7WxOHDh20/e7MQzFNPPeXx+Nq1a9W/\\\n",
       "f39JPO/mLZ4hBBAuCIRAPbdx40aNGTNG27dvt40SGIZhW+CCpeZRxd3WA6EOgxEREXb/kOFqtOuX\\\n",
       "X35R165dZZqm5syZ43LUTJLH5+2uuOIKt3249tprvWqr6ruyWCxO//gSKHl5eT6fM2XKFJflF1xw\\\n",
       "gdatW1fTLoUlAiGAcNEw/kkYCGN/+MMf1LlzZ61evVq7du3S7t277f4XqOL4LJ0k3XHHHSHoyf/E\\\n",
       "x8c7BSvDMJSQkKDdu3fr3nvvlWEY6tSpkyorK2W1WnXHHXfIMAwNGzbMqT1vpoy68t577zmVzZs3\\\n",
       "z239YIVBwzBcbp1x9ijh7NmznY67mzJKGPQfU0YBhAtGCIF6bteuXfr3v/+tc889N9RdQT1QFRyC\\\n",
       "sW+eryoqKtxup1BUVFTtYkgfffSRDMNQRESEJO9XE3XkbmXQkSNH6o9//KNfbfrLXdAsLS1VRESE\\\n",
       "LBaLxo8f73Tc1Yilu5DYEJ43fPzxx4N+DUYIAYQLRgiBem7QoEHaunVrqLuBesbTDeyDDz4owzCU\\\n",
       "kpJSbTv79u1TVlaWBg0apM2bN/sUNqKioryu60llZaVXYTAiIkLNmze3++yvvvqqTp065bK+v6ON\\\n",
       "1YmNjZVpmjJNU+Xl5dq5c6dtNVl3LBaLx9VmHae3duzYMaB9BgA0XIwQAvXc66+/rjFjxmjbtm3q\\\n",
       "3r270022q2l1gDu//e1vbXvVnTx50vY8qiPTNJ2ePezdu7fbdg3DUJ8+ffTqq6/q0Ucf1WeffRbY\\\n",
       "jlfDcTEYbwXjWcGSkhLbz5GRkQHZFiYqKkrl5eU6//zz9eGHH6pLly41bjPcMUIIIFwQCIF6bs2a\\\n",
       "Nfr6669dbjjNojLwlau/R46hqLS0VLGxsT61a5qmNmzYoH79+tW4j77YsGFDjbZdqRp9rG6lz9jY\\\n",
       "WLug17dvX23cuNHv6/ojMjJSO3bsqNVrNmQEQgDhgimjQD13zz33aNSoUTp8+LCsVqvdizCIKlVb\\\n",
       "SxiGYdtKwVtV0xur+BoGQ2XNmjUB2YMzIiKi2g3nzw6D0pkgivqNRWUAhAsCIVDPnThxQvfff79S\\\n",
       "U1ND3RXUYREREbZQV1hY6HabAndmzZoVjG4FTWZmpgYMGBCw9pKTk9W0aVOXx9w9+1deXu5Utnz5\\\n",
       "8oD1CcFFIAQQLgiEQD13zTXXcJMJj1yNkk2bNs2nNn79618HqjtBZxiGzwstVU1pnT17tj7++GMd\\\n",
       "O3bM6dnBjRs3Ot34u9rKo0pkZKS+/fZb2/v09HRdeumlPvUrEJYtW6aIiAhFRUWFfJuR+oRACCBc\\\n",
       "8AwhUM917txZkyZN0qpVq5SRkeG0qMy9994bop4hEGJjY9W+fXtt2bLF76mamzdvdlleUFDgNH20\\\n",
       "anESR926dbP9/NRTT+nhhx/2qy+B5rjozYABA7RmzRqf2mjUqJHTlE9H3bp101tvvaVjx44pOjpa\\\n",
       "8fHxTovquJKRkRHSbR7Ky8uVnZ0t6cy04f/3//6f5s6dG7L+AADqHgIhUM+9/vrrSkhI0IoVK7Ri\\\n",
       "xQq7Y4ZhEAjrudLSUu3YsUNxcXGSpLS0NB0+fNinNtwFkiZNmjiNcLVu3Vq7d+/22N6kSZPqRCA8\\\n",
       "cOCAWrVqVaM2nnzyyWrDoCT98MMP+vWvf62TJ0/W6Hq1beXKlaHuQr3FojIAwgVTRoF6bvfu3W5f\\\n",
       "u3btCsg1XnnlFbVv316xsbHq37+/1q9f77H+woUL1bVrV8XGxiojI0Offvqp3XHTNDV58mS1bNlS\\\n",
       "cXFxys7O1s8//+xX36oWPHH3Ki0t9XnqV116OcrJyZFhGLJYLCorK/PrO6viatEhV2Fw0KBBNbpO\\\n",
       "sKSnp9e4jUcffdTruu72K6zL6uqfXX3QEKaMvvXWW3W2bwDqDgIh0EAdPnxYzz77bI3bWbBggSZO\\\n",
       "nKgpU6Zo06ZN6tGjhwYPHqyjR4+6rL969WqNHDlSY8eO1ebNmzV8+HANHz5c27Zts9V59tlnNWvW\\\n",
       "LM2dO1fr1q1TfHy8Bg8e7LS5NtwzTVMxMTEyDEOdO3f2ux3DMHTs2DFJ7vcRTEtLcyrzZrpkTVx9\\\n",
       "9dVOq5s6qunol69TOYP9mVG3NIRAOHr06FB3AUA9YJihfLgBQI394Q9/cFm+d+9erV+/XgUFBTVq\\\n",
       "v3///urXr59mz54t6cxzSG3atNE999yjP//5z071b7jhBhUVFenjjz+2lQ0YMEA9e/bU3LlzZZqm\\\n",
       "0tPT9X//93/605/+JEnKy8tTamqq3nzzTd14441e9Ss/P18vvvhitfXKyso0Y8YMr9qs7xISEpz+\\\n",
       "vEtKStSoUaMatWuxWJxGE2+88UYtWLCgRu164viryd0Nd3W/wiorKxUbG6uKigolJCTo2LFjtmcx\\\n",
       "X3/9dY0bN87rPpWXl1e7H2Fd5LiPYkP4tf/4449XW2fq1KnKy8tTUlKST20nJCSoqKhIDz30kGJi\\\n",
       "Yrw6p7S0VM8884zi4+NVWFjo0/WCreq/nYbw5w4gOPjnTqCeO3XqlN3r+PHjWr9+vb788ks9//zz\\\n",
       "NWq7rKxMGzdutC1KIZ0JB9nZ2W4X7lizZo1dfUkaPHiwrf7u3buVk5NjVyc5OVn9+/f3eTEQ2Css\\\n",
       "LJRhGEpOTtbmzZvVr1+/GodBSU6rbUrS/Pnz/WorKytLCQkJHuv07dvXqczXbTIk6fjx44qMjLQ9\\\n",
       "J1lYWKi4uDglJSVp0KBBPoVBbzanr6uqVhiFbxrCCOHZ6lt/AdQeAiFQz33wwQd2rw8//FDbtm3T\\\n",
       "tGnTtGjRohq1ffz4cVVWVjrtcZiamqqcnByX5+Tk5HisX/W/vrQpnfkX+Pz8fLsXXMvPz1fv3r0D\\\n",
       "ujm6q9GF6Ohou/eXXXaZ1q5d63FUZe7cudq4caPHa3355ZdOZY888ojLup7acjXVVTqzuuoXX3zh\\\n",
       "sQ9ne+aZZ+r9dNHc3NxQdwEhUjX1ukmTJqHuCoA6qn7/hgPg1siRI13eWNdXM2bMUHJysu3Vpk2b\\\n",
       "UHcprLgaYSotLbVbwOeLL75Q//79PT4LmpmZqc6dO8s0TZd7BTZv3lzx8fFeXV9yPZoonbkJdrVo\\\n",
       "jj8efPBBv86rqKioM9P0GjVqVO9WSK0L6uPooLs+zZw50+6/VwCoQiAEGqitW7eqV69eNWqjWbNm\\\n",
       "ioiI0JEjR+zKjxw54nb0JS0tzWP9qv/1pU3pzFYHeXl5ttf+/ft9/jzwXyDCleOzXJmZmbabU6vV\\\n",
       "KtM03S5W5MkTTzzhVBaK6Z3nnnuuXUiIioqSxWKRYRgaMmRIrffHUZMmTQgCPmgIU0bP7teYMWPq\\\n",
       "bD8BhFb9fCACgM3EiROdyo4cOaLFixdryJAhdse9WYTlbNHR0erTp4+WLVum4cOHSzrzPNmyZct0\\\n",
       "9913uzwnKytLy5Yt04QJE2xlS5cuVVZWliSpQ4cOSktL07Jly9SzZ09JZ6Y4rlu3TnfeeafbvsTE\\\n",
       "xHi9wAOC4ze/+Y3+85//+H2+4/YjZ/PmRtUwDJeBZvLkySovL9fUqVNlsVh04YUXunzu0V8nTpxQ\\\n",
       "SkpKtX3z5NNPP5XFYglovxBcvgS9uhy03P13AwBVCIRAPbd582aX5f369dPRo0dtIy7+3rBMnDhR\\\n",
       "Y8aMUd++fXXBBRdo5syZKioq0q233irpzLLmrVq1sq3ked9992ngwIF64YUXNGTIEM2fP18bNmzQ\\\n",
       "a6+9ZuvHhAkTNH36dHXq1EkdOnTQY489pvT0dFvoRN20ZMkSr+plZma6LB8wYEAgu2PniSeecDlS\\\n",
       "GAjNmjXzeENdtWppdUzT5Oa8HqnvgTAuLi7UXQBQTxAIgXpu+fLlQW3/hhtu0LFjxzR58mTl5OSo\\\n",
       "Z8+eWrJkiW1RmH379tktuPGrX/1K77zzjh599FE9/PDD6tSpkxYtWqTu3bvb6jz44IMqKirSbbfd\\\n",
       "ptzcXF100UVasmSJ1zfWZ6vuRiwmJqZe34DXtRvN9PR0HTp0yO3x1NRUt9M+a7owSyj/HD2N7pWW\\\n",
       "lvrUFqGwfqjvgZB9XQF4i0AIoFp333232ymirhauGTFihEaMGOG2PcMwNG3aNE2bNi1QXWywqoJD\\\n",
       "XbnhPHz4sAzDUGZmpvbu3au8vDyvz83Pz1dycrJf1z1x4oRf5wWKaZratWuXzjnnHKdyfzB9tO6r\\\n",
       "r4GwaiT6bHWpfwDqHhaVAeqhK6+8UmvXrq22XkFBgZ555hm98sortdArBFNdG1H69ttvfQqDkqp9\\\n",
       "Dk+S7rjjDtuNuMViUWZmplq3bq1mzZr529WA6dixo1OZv6MwpmnyTCyC5uzVRMePH28rnz59egh7\\\n",
       "BaCuYoQQqIdGjBiha6+9VsnJyRo6dKj69u2r9PR0xcbG6tSpU/rhhx+0atUqffrppxoyZIiee+65\\\n",
       "UHcZAVDddM26rrKyUvn5+U6rjVaJiIiwGzUzTVPfffddbXXPK+ecc4527dple1+TUb6ysjLdc889\\\n",
       "+stf/hKIriHA6usIoaPZs2dr9uzZoe4GgDqMQAjUQ2PHjtWoUaO0cOFCLViwQK+99ppttMYwDHXr\\\n",
       "1k2DBw/WN998o/POOy/EvUWg7N271+1+fPVFcnKyy9HOZ555pl5Mody9e7fd+5qO8s2ePZtAWEc1\\\n",
       "lEAIANUhEAL1VExMjEaNGqVRo0ZJkvLy8lRSUqKUlJR6HxrgWij21gsGwzBktVptN9GmaerPf/5z\\\n",
       "iHvlvbOf/wvEVN5x48bpr3/9a43bQWARCAGEC54hBBqI5ORkpaWlEQYbME/h48iRI3bPDe3evVtP\\\n",
       "P/20fvnlF9um765Ww4yOjradk5iYGMzu27FYLEpMTFRmZmaNVx8NNMMw9MMPP2js2LEuj5umqUsu\\\n",
       "uURWqzUgW2m8/vrrNW4DgdcQNqYHAG/Urd/CAAA7ERERioqKUkxMjMfg1KJFC7v37du310MPPaSO\\\n",
       "HTvablajo6NVUlJiq5OSkmIXEvPz82s1nBUWFta5ZwSLi4tltVp13nnn6fXXX3cbwr/66itFRERo\\\n",
       "06ZNtdxD9/Ly8nThhRfq888/D3VXGoRgB0KCJYC6gkAIAHWY1WpVRUWFysrKPNb729/+5lV7J0+e\\\n",
       "tP3sapXQcLghLS4uthtNnT59utLT01VaWupyM+8dO3YEvU8HDhzwqb5pmpoyZYri4uJsQaJx48Za\\\n",
       "vXq1fv3rX+vRRx8NUk8RCMzkAFCXEAgBoAH44x//6FWY69y5s+3niooKFRcX2x2vrKwMeN8CbciQ\\\n",
       "Ifr666/9uqnOz893Cn2PPPKIDh48qOjoaJfndO7cOehBuU2bNl4tqmOapiwWiywWi6ZNm+Z224un\\\n",
       "nnrKbRu+jnzVxVdpaaldqHf1qqlgjhBWVFRIUlD6DQC+ahgrFAAAJJ25iS0vL3e7AE1RUZHd+/j4\\\n",
       "eBmGocjISJWXl9dGF2skLy/Ptm1FWVmZTNNURESEVzfSCQkJfj8nefYiOMESEREh6czzlW3bttVX\\\n",
       "X32l1q1bSzoTHJo0aeL13o8Ei5qrjUVlHM/jzw1AKDBCCNRzY8aM0cqVK0PdDdQh7kbOqkYlHJmm\\\n",
       "6XcYjIiIUG5urvbs2RP0wHTFFVc47WFYtWJp1ejK2T9XVFRo5MiRslgsat26tQoKCmp0/e7du9fo\\\n",
       "fG9ZrVbt2bNHbdq0sYUSi8XidRhEYPgzQlhUVKSEhATbKysry+drAkBtIxAC9VxeXp6ys7PVqVMn\\\n",
       "PfXUUzp48GCou4Q6wDAMp9GGQD+3FBUVpYqKCiUnJ6tdu3ayWq1av3694uLiFBMTo3bt2qlRo0Ze\\\n",
       "txcbG6uCggJboDt27JjOOeccJSQkaMeOHfrss8+qbePsG+qIiAi98847qqys1P79+/36jGfztADO\\\n",
       "zJkzbWG0oqLC45TNULrrrrtC3YV6w98po0VFRbbX2rVrPV6DqaIA6gICIVDPLVq0SAcPHtSdd96p\\\n",
       "BQsWqH379vrNb36jf/3rX/ViCiCCJyoqyvZcWseOHQPe/vHjx53K+vXrp+LiYp0+fVp79uxRUVGR\\\n",
       "5s+fX21bw4YNU0lJiRISEmxlzZo1086dO1VQUGD37GMoVU3rPFtMTIzuu+8+WyiIiIjQpEmTnJ7P\\\n",
       "rG2uFiJ67bXXQtCT+snfQBgfH297BWJbEgAINgIh0AA0b95cEydO1NatW7Vu3Tqde+65uvnmm5We\\\n",
       "nq77779fP//8c6i7iBCorKxURESEDMPQrl27Atr2xx9/7DR9050bbrhBpmmqTZs2Tsfuuusumaap\\\n",
       "xYsXB7R/weI47TYyMtLtwi5xcXEyTdPtNMDmzZurrKxMJSUlbhe0qYmYmBinsrq252NDEx8fr8LC\\\n",
       "QttrzZo1oe4SAFSLRWWABuTw4cNaunSpli5dqoiICP32t7/Vd999p27duunZZ5/V/fffH+ouop74\\\n",
       "5ZdfXI4qVoVMf+zbt0/SmVBVtVJmXXN2eOvdu7c2btzoVKfqWUXJu4BltVrVqFEjuz0gz16kJioq\\\n",
       "SqWlpaqoqAj4tN7S0lK7YFhWVsZzal4KxaIyABAKde+3MQCflJeX69///reuuuoqtWvXTgsXLtSE\\\n",
       "CRN06NAh/eMf/9Dnn3+u9957T9OmTQt1V1GHNW3aVKdPn7Y9z+Ruiqm/YfBskZGRdTIMOvbJ06bz\\\n",
       "vgZax70PXQWByMhImaap3Nxcr9utziOPPBKwtsJNMLedcPfMIM8SAggFRgiBeq5ly5ayWq0aOXKk\\\n",
       "1q9fr549ezrVueyyy9S4ceNa7xvqvtjYWLuRq4bo6NGjSk1Ntb335Wbc1eI8wZacnGy7pmmaioyM\\\n",
       "9GqPQleefvrpQHYt7ARzBI/wB6CuqHv/RAvAJy+99JIOHTqkV155xWUYlKTGjRtr9+7dtdsx1AtH\\\n",
       "jhwJdReCrmovvyrNmjVzWe93v/udy/JAjtj5yjAMVVZW+n2+u/0oUb1gjhACQF1CIATquZtvvlmx\\\n",
       "sbGh7gbqqQULFoS6C0HnOLp24sQJl/Xef/99l+U5OTlOZUOGDFFiYmKtLdi0dOlSn8/xNBJa318x\\\n",
       "MTFBD2gEQgDhgkAIAGHstttuC3UXamT27NlKTk72OIq3detWr9szTVNTpkyxvU9ISFDXrl3t6hiG\\\n",
       "oU8//VSFhYXq3LmzDMNQYWGhz333RXZ2tsfjhmEoMjJScXFxmjdvHtMRA4BACCBcEAgBoA6rGhEJ\\\n",
       "5vL11S2O0q1bN9tN74wZM9zWq6ysVEJCgiIiIhQbG6uUlBTbtheOr969e+vYsWM6cOCA0tLSnI7/\\\n",
       "9a9/rbbfERERuueee5Sfn68mTZq4vSk///zzq23rbFOnTrV97wUFBXbHXnnlFZfnJCYmer0NRyD9\\\n",
       "+9//tq16Wl5eruLiYv3+97+v9X4AAOovAiEA1AMDBgwI2qiPaZr68ssvXR5bsWKFtm/fbnv/8MMP\\\n",
       "65xzznGql52drcjISBUVFclqtaq0tFQnT550uxjK5s2b1aJFC7Vp08blc4y33Xabnn/+eY/9dtV2\\\n",
       "v379XNY1TdO2QmqLFi08tuvJdddd5/ZYQUGBDMNQeXm53+17cvToUdvPVYvdXHPNNUG5FhghBBA+\\\n",
       "CIQAUI8UFxcHpd3LLrvM6/Ldu3fbhdPy8nItW7Ys4H164IEH3B5zF45/+uknt+dUVFTINM0aLaRz\\\n",
       "9mql7kRHR9tCQtX2FBERERo9erTf15XObGRfNXLp76qj8B6BEEC4IBACQD0SFxdXq9dzF7zO7kd0\\\n",
       "dHStX9/dDbi7BWMC6a677vK67tkB7u2335ZhGG5HY1G3EAgBhAsCIQDAZ6WlpTJNM+h7GObn57s9\\\n",
       "9uGHH9p+NgxDK1eurJVtFtw9R+itX//61wHqiXdM09T8+fNlsVgILj4gEAIIF2xQBAD1yPr160Pd\\\n",
       "BZtgPi9XxdNCLUOHDq2Xq2nWxr6GiYmJQV/5tKHzJegRCAHUZ4wQAkA9MmDAgFB3QZJsC7Q0atTI\\\n",
       "bZ2qwFhZWanMzEyn41FRUdq7d68KCgrUsWNHt200JJmZmYqPjw/qNSwWC2EQAOA1AiEA1BNRUVFB\\\n",
       "HRH76KOP7N57mn759ddfV1vHarUqMjJSFotFW7duddpcvKysTG3btlVCQoJ++eUX27N2ixYt0p49\\\n",
       "e+rs6N/p06f9Om/Tpk0+7Ynoq6KiItvqo6g5powCCBcEQgCow6Kiomw3nBUVFUG91rBhwxQREaH2\\\n",
       "7dvLMAxVVla6rdu/f3+PbQ0aNMivPhiGoauvvlrt2rWzK2/evLndzXegVzU9ceKErW1PK5VK/i/s\\\n",
       "06tXL7/O81ZCQkJQ2w83BEIA4YJACAB1WLBDoCOr1aq9e/fWuJ1FixbVvDP/v4qKCh0/ftyuLDs7\\\n",
       "O2DtW61WNWvWzPa+S5cuaty4scu6Fot/vzb9DQzl5eV2ocPddhMEksAjEAIIFwRCAIBPvHk+LZDP\\\n",
       "ya1du9ZleaD24nO1bUZeXp7LqZf+Tsf09zzHvkVEROhf//qXXZm/IRWeEQgBhAt+iwBAPZKUlGR7\\\n",
       "Bq9z5861fv2oqCivwl4gb5DdjdZVFwhN0/Rqaqm7qbEHDhyo9twqAwcO1BtvvOHxc/sa3Lp06eKy\\\n",
       "fMSIEXZBhGcGg4NACCBcEAgBoB7Jy8uz/bxjxw6vz9uxY4ctSBYXF/u9mXxZWZlf59VEt27dXJZ7\\\n",
       "WtDm4MGDslgsys7O9vtmvU2bNk5ljgGzoKBApmnqyy+/1C233CKr1arU1FSX7Zmm6XHa59k+/fTT\\\n",
       "ap9lBAAgENiHEADqEavVahtpuuKKK6qtf/r0acXExNiVxcXFqbS01Pbe28DkbiTKNE2lpKTo1KlT\\\n",
       "Onz4sNtA5C9fR9ZM01Tr1q3tytyNpLnbxuPnn392WX755ZdXOyKXk5Pj8Tut2rIDdRv7EAIIF4wQ\\\n",
       "AkA9EhERoX//+98699xztXTpUo91k5OTncKgK4GYcnjixAm3o2MvvPBCra2UKvkWuNatW+dUZhiG\\\n",
       "zj33XL+v7++2FP4wDEPr169XZWWlKisrdeDAAbdTbOEbpowCCBeMEAJAPXPdddd5Ve/kyZNet7l3\\\n",
       "716nrR4CwWq16k9/+pPtfVRUlCoqKgIyStayZUsdPnzYrmzDhg1uA25MTIxXI6M1WazGNE2/t6Xw\\\n",
       "VXl5udO02VatWunUqVOSzowE12Y4bWgYIQQQLhghBIAGypeplm3btlV6errHOv6EuGuuucapzNOz\\\n",
       "f65UBRxHOTk5slgsWrVqle655x5FR0erX79+btspKysL6ohOREREra34WVBQUO33WFJSUit9aagY\\\n",
       "IQQQLgiEAABJZxZi8XRja7VaZRiGNm7caFugpjoPPfRQjfvVtGlTt8dM09TFF1+s2bNnq7y8vMbX\\\n",
       "GjdunM/nREdHe71YTKB4uwl9SkpKkHvSsBEGAYQDAiEAwMabKYZ9+/aVxWKRxWKp9oY4KyurRv2Z\\\n",
       "NWtWjc731ebNm53KKioqdOmllyojI0Pff/+9rFarKisr1bt3bxmGEZAg6otbbrnF67pMGQUAVIdn\\\n",
       "CAGggTp7RVJvHTlyxK9r3X///XrppZdcHqvabuHsfnnrvvvu86s//tqwYYPKy8sVFRUlyfnZsO7d\\\n",
       "u9dqf1x54403vK5bVFQUxJ40bDxDCCBcMEIIAA1UTk6O13WtVqv69euntm3b+nUtd5uoV6maYuoY\\\n",
       "Dj3xZoXUYKiaAloXb/KnT58e6i6EDZ4hBBAuCIQA0EDdeeed1da5/PLLZRiGIiIitGHDBr+vdccd\\\n",
       "d/h9rjtlZWU+n+Pts3X1UePGjfXII494XT85OTmIvWn4CIQAwgWBEAAaqI8//tjj8cOHD2v58uU1\\\n",
       "ukZMTExA9jF0dOLECZ/P2blzpwoKCmSaptsw1KhRIx05cqTGwfGCCy5QaWmprFar7ZnCs0dBTdPU\\\n",
       "559/XqNrOFqwYIFP9fPz8wN6/XBDIAQQLniGEAAaqOqe1WvTpo3fbSclJSkvL8/v86vTp08fn+oP\\\n",
       "GDBA55xzju19bm6u0036999/r27dukk6s22DrzfxhmHo9OnTio6OdnnM0aBBg7Rv3z6/p+E6uvLK\\\n",
       "K71+/rK6KbyoHs8QAggXjBACQAPmae/AyspKv9p85513ghoGTdPU3r17be9//PFHmabpcV89V6tp\\\n",
       "mqap7OxsxcXFqbKy0hYGq7Ro0aLavjRv3tw2+me1Wl2GQU9qErodVT1/+ec//9ljvbS0NP30008B\\\n",
       "u264YoQQQLggEAJAA1a1d+B7770XsDZHjhzp8XhZWZkmTJiguLg4tzfPFotFhYWFTudOmzbNbmVU\\\n",
       "0zRto12xsbFuF8rZsmWLy+0fli5dquLiYperrVa3Amd+fr6OHj1a483m33777Rqd7+iZZ57xGEyq\\\n",
       "WynW16BTF1+lpaVOU3QdXwAA7zBlFADCwA033KAbbrhBLVq00O7du5WUlORXO08++aTbY9HR0V7v\\\n",
       "yWeaphITEz3WcTXq0rx5c4/X9yUIuAuEgZ4OO2rUKN18880Baw+1gymjAMIFI4QAEEaOHj2q+Ph4\\\n",
       "v6eLPvzww05l3bp1k2EEfoN2V+GuY8eOHs/x9sY8LS3NqWzEiBEyTTMo02E9TXdF3cSUUQDhgkAI\\\n",
       "AHDy2GOPqby8XMePH9fYsWP17LPPugxohmFo+/btQevH2QHwyy+/1J49e6o9x9XNelRUlJKSkhQR\\\n",
       "EeE0rdJiscg0zYBOq3UUGxvrdwhHaBAIAYQLpowCAOwYhqFp06ZJklJSUvT666+7rOfrAiv+2LVr\\\n",
       "V0ButisqKlRQUODyWG0FtargWfW/qNuYMgogXDBCCACw421YCfQU0YbE06qo3m4d4Y3IyEinxVTK\\\n",
       "ysoC1n44Y4QQQLggEAIAEEAXX3yxLBaLGjVqJMMwVFFR4VTH1TYZvnL33GZUVJRM02RjegCAVwiE\\\n",
       "AAAnubm5oe5CrQn0CqCrVq2yex8VFeVUJyYmpsbXqW6kMTExUaZpKjc31+9VZcMZI4QAwgWBEADg\\\n",
       "pEmTJqHuQq355z//qYSEBJWVlen06dNq3759wG/yHduaNWtWjdrz5RnE5ORk5eXlsT+fjwiEAMIF\\\n",
       "gRAA4JKnRWOeeOKJWuxJ8BUVFSkmJkZxcXHau3evrdyfG/2MjAyX5YZh6NVXX1WrVq103333+dXP\\\n",
       "TZs2EepqCYEQQLggEAIAXCovL5dhGE4B5OOPP9bkyZOd6v/jH/+wjULl5uYqIyMjLG+Uv/32W7fH\\\n",
       "7rrrLh06dMivdk3TVK9evfztll079f0VExMT9IBGIAQQLgiEAFwqLy/XQw89pIyMDMXHxys9PV2j\\\n",
       "R4/26mb2lVdeUfv27RUbG6v+/ftr/fr1dsdPnz6t8ePHKyUlRQkJCbr22mvt9oXD/1TtmxdKFovF\\\n",
       "7sZ36NChTnX279+v0aNH294nJyfr22+/ldVqdXlDv2nTptr8CDVy9OhRn8/Zv39/QPvgamEaBBeB\\\n",
       "EEC4IBACcKm4uFibNm3SY489pk2bNun999/Xjh07NGzYMI/nLViwQBMnTtSUKVO0adMm9ejRQ4MH\\\n",
       "D7a7qb7//vv10UcfaeHChVqxYoUOHTqka665JtgfqV6qqKiwC1WdOnUKdZdcat26tU/1e/XqJdM0\\\n",
       "FREREaQeBc55553n8zm+fh/VsVhq9uu6rKwsoNtdAAAaDgIhAJeSk5O1dOlSXX/99erSpYsGDBig\\\n",
       "2bNna+PGjdq3b5/b81588UWNGzdOt956q7p166a5c+eqUaNG+vvf/y5JysvL09/+9je9+OKLuvzy\\\n",
       "y9WnTx+98cYbWr16tdauXVtbH6/e+umnn0LdhYA6ceJEqLtQrVOnToW6C9q4caPf58bHxysmJkYR\\\n",
       "ERE1DpbhhBFCAOGC3wwAvJaXlyfDMNS4cWOXx8vKyrRx40ZlZ2fbyiwWi7Kzs7VmzRpJZ25sy8vL\\\n",
       "7ep07dpVbdu2tdWBZ6WlpaHughN/R5+Sk5MD3JPAqwuLuPTr108RERF64YUXfPquIyIiVFxcbHtf\\\n",
       "Fz5LfUEgBBAuCIQAvHL69Gk99NBDGjlypNs9zY4fP67KykqlpqbalaempionJ0eSlJOTo+joaKdQ\\\n",
       "eXYdV0pLS5Wfn2/3ClfR0dG68sorQ90NOzWZ+uluk/Znn33WNlXW1ciWq2cTg8XdyqHuBCMgWK1W\\\n",
       "/elPf7I9Vzp//nyvzoH/CIMAwgGBEIAkad68eUpISLC9vvrqK9ux8vJyXX/99TJNU6+++mpI+jdj\\\n",
       "xgwlJyfbXm3atAlJP+qK//znP3Vu+l9cXJxf57nbpP2BBx6w/ey4qIq7xY3Kysr86kN1tm3b5nXd\\\n",
       "2goII0eOrJXrhKvaHCEkXAIIpbp1NwEgZIYNG6YtW7bYXn379pX0vzC4d+9eLV261O3ooCQ1a9ZM\\\n",
       "ERERTiuGHjlyRGlpaZKktLQ0lZWVKTc3120dVyZNmqS8vDzbK9CrONZHlZWVKi8vrzPTLk+fPq3y\\\n",
       "8vKgtO14o+zu70pUVFRQri95N92ytm/o3333XbfHGB2smdoKhIRAAKFGIAQgSUpMTNS5555re8XF\\\n",
       "xdnC4M8//6zPP/9cKSkpHtuIjo5Wnz59tGzZMluZ1WrVsmXLlJWVJUnq06ePoqKi7Ors2LFD+/bt\\\n",
       "s9VxJSYmRklJSXYvSJGRkcrNzZVpmjp8+HCou+NxM/uauPDCC+3eh2IxmmbNmrk9ZrVaQ3Jj/3//\\\n",
       "9396+OGHlZmZqaSkJF111VU6cOCA3nnnnXqxgmtdVhuBsGnTpgHuNQD4jkAIwKXy8nJdd9112rBh\\\n",
       "g+bNm6fKykrl5OQoJyfHblreoEGDNHv2bNv7iRMn6q9//av+8Y9/aPv27brzzjtVVFSkW2+9VdKZ\\\n",
       "RUTGjh2riRMnavny5dq4caNuvfVWZWVlacCAAbX+Oes6i8WiyMhI/e53v6u2blpamgYNGlQLvfLs\\\n",
       "5MmTTmXNmze33Tg/+uijdsd++eUXl+0YhqGSkhI9/PDDWr16td2xjh07ur3+Dz/84Eevq3fy5ElV\\\n",
       "VlY6lfft27fWw1erVq1UXFysZcuWacaMGfruu+9UUFCgTz75RG3atNFNN91Uq/3BGUVFRXZT7z39\\\n",
       "I5f0vxVsWewHQCgRCAG4dPDgQX344Yc6cOCAevbsqZYtW9peZ9+c79y5U8ePH7e9v+GGG/T8889r\\\n",
       "8uTJ6tmzp7Zs2aIlS5bYLTTz0ksv6aqrrtK1116rSy65RGlpaXr//fdr9fPVF6ZpqrKyUosWLZJh\\\n",
       "GOrevbvH+kuWLKmlnrnnOJJmmqbd35Enn3xShmGoadOmatq0qce9FRs1aqQZM2Y4lXtaVOi8886z\\\n",
       "LbhiGIYWLVrktPiMq2DnjcjISLVp00YffPCBLeT6uyVEy5Ytbf3Zvn27V+dYLBaZpqkDBw4oLi7O\\\n",
       "rz0S4R1/RwiLiopsL09b6VSdk5mZGfTPAgCeGCb/LAWgHsrPz9eLL77o1VStKVOm1EKPgsPV5zt1\\\n",
       "6pTbrT8KCgqCPp22cePG+stf/qIxY8a4fU7t7F8tp06dCsrUuED8+oqLi3O7ymkwtWvXTnv27LEr\\\n",
       "mz59uh577DG350RERDgtriNJl1xyid0iUNVpCL/2H3/88WrrTJ06VXl5eT7/95CQkKCioiItXrxY\\\n",
       "8fHxXp1TVFSkq6++WpLszsnIyHC5nc7Z/11X/XlUlTWEPx8A9QsjhABQzzRp0sTtsWBPGbVarTp1\\\n",
       "6pRGjRqlyspKJSQkVHtOYmJiUPtUEyUlJSG5rmMYlOQ0ldaRqzAoScuXLw9El+DAnxHC+Ph4FRYW\\\n",
       "2l7e7K3qOMJoGIaefPLJoH0uAHBEIASABsTf6YveiIuLcxqx9GY/yMjIyGB1CarZHpBwL5iLylQ3\\\n",
       "avnII4/UpOsA4BN+SwNAHebr9DF/n43zl2EYXvWxLk+Dq0t987cvdekzNBS+BD1fA2FeXp7bNviz\\\n",
       "BFDbGCEEAAAAgDDFCCEAAICDYI4QusLIIIBQIRACAAA4qO1ACAChQiAEAABwQCAEEC4IhAAAAA4I\\\n",
       "hADCBYEQAADAAYEQQLhglVEAAAAACFOMEAIAADhghBBAuCAQAgAAOCAQAggXBEIAAAAHBEIA4YJA\\\n",
       "CAAA4IBACCBcEAgBAABcIOgBCAesMgoAAAAAYYoRQgAAAAdMGQUQLgiEAAAADgiEAMIFgRAAAMAB\\\n",
       "gRBAuCAQAgAAOCAQAggXBEIAAAAHBEIA4YJACAAA4IBACCBcsO0EAAAAAIQpRggBAAAcMEIIIFwQ\\\n",
       "CAEAABwQCAGECwIhAACAAwIhgHBBIAQAAHBAIAQQLgiEAAAADgiEAMIFq4wCAAAAQJhihBAAAMAB\\\n",
       "I4QAwgWBEAAAwAGBEEC4IBACAAA4IBACCBcEQgAAAAcEQgDhgkAIAADggEAIIFywyigAAAAAhClG\\\n",
       "CAEAABwwQgggXBAIAQAAXCDoAQgHBEIAAAAHjBACCBcEQgAAAAcEQgDhgkAIAADggEAIIFwQCAEA\\\n",
       "ABwQCAGEC7adAAAAAIAwxQghAACAA0YIAYQLAiEAAIADAiGAcEEgBAAAcEAgBBAuCIQAAAAOCIQA\\\n",
       "wgWBEAAAwAGBEEC4YJVRAAAAAAhTjBACAAA4COYIobv6pmn61A4ABAIjhAAAAA6qAqG3r0BITU0N\\\n",
       "SDsA4AtGCAEAABwEc4TQcSSw6vyjR4/61A4ABAKBEECD9/jjj4e6CwDqGX8CYVFRkRISEmzlGRkZ\\\n",
       "WrNmTVD6BwCBQiAEAABw4O8IYVFRke3ntWvXVnvuW2+9ZfuZZwgBhAKBEAAAIEDi4+NtP2dkZFRb\\\n",
       "f8yYMcHsDgBUi0AIAADgwJ8Rwvj4eBUWFvp0jSqMDgIIFVYZBeCVO+64Q4ZhaObMmdXWfeWVV9S+\\\n",
       "fXvFxsaqf//+Wr9+vd3x06dPa/z48UpJSVFCQoKuvfZaHTlyJEg9BwDfBXOV0a1btxIGAdQZBEIA\\\n",
       "1frggw+0du1apaenV1t3wYIFmjhxoqZMmaJNmzapR48eGjx4sN3qeffff78++ugjLVy4UCtWrNCh\\\n",
       "Q4d0zTXXBPMjAIBPghkIe/bs6fJanTp1CuAnAADvEAgBeHTw4EHdc889mjdvnqKioqqt/+KLL2rc\\\n",
       "uHG69dZb1a1bN82dO1eNGjXS3//+d0lSXl6e/va3v+nFF1/U5Zdfrj59+uiNN97Q6tWrvVqAAQBq\\\n",
       "S23uQShJv/zyS8DaAgBvEQgBuGW1WnXzzTfrgQce0Pnnn19t/bKyMm3cuFHZ2dm2MovFouzsbNvS\\\n",
       "6xs3blR5ebldna5du6pt27Yszw6gzgjmCKFpmm5fAFDbWFQGgFvPPPOMIiMjde+993pV//jx46qs\\\n",
       "rFRqaqpdeWpqqn788UdJUk5OjqKjo9W4cWOnOjk5OW7bLi0tVWlpqe19fn6+l58CAAAA7jBCCECS\\\n",
       "NG/ePCUkJNheK1as0Msvv6w333wzoFOi/DVjxgwlJyfbXm3atAl1lwA0YMEcIQSAuoRACECSNGzY\\\n",
       "MG3ZssX2Wr16tY4ePaq2bdsqMjJSkZGR2rt3r/7v//5P7du3d9lGs2bNFBER4bRi6JEjR5SWliZJ\\\n",
       "SktLU1lZmXJzc93WcWXSpEnKy8uzvfbv31+jzwsAnhAIAYQLpowCkCQlJiYqMTHR9v62227T0KFD\\\n",
       "7eoMHjxYN998s2699VaXbURHR6tPnz5atmyZhg8fLunMc4jLli3T3XffLUnq06ePoqKitGzZMl17\\\n",
       "7bWSpB07dmjfvn3Kyspy27+YmBjFxMTU5CMCgNf82YcQAOojAiEAl1JSUpSSkmJXFhUVpbS0NHXp\\\n",
       "0sVWNmjQIP3ud7+zBb6JEydqzJgx6tu3ry644ALNnDlTRUVFthCZnJyssWPHauLEiWratKmSkpJ0\\\n",
       "zz33KCsrSwMGDKi9DwgAHhAIAYQLAiGAGtm5c6eOHz9ue3/DDTfo2LFjmjx5snJyctSzZ08tWbLE\\\n",
       "bqGZl156SRaLRddee61KS0s1ePBgzZkzJxTdBwCXCIQAwoVhssYxgHooPz9fL774IjdiAFyaOnWq\\\n",
       "8vLylJSU5NN5CQkJKioq0qFDh7w+Nz8/X+np6YqPj1dhYaE/3QWAkGFRGQAAAAAIU0wZBQAAcMCU\\\n",
       "UQDhgkAIAADggEAIIFwQCAEAABwQCAGECwIhAACAAwIhgHBBIAQAAHBAIAQQLlhlFAAAAADCFCOE\\\n",
       "AAAADhghBBAuCIQAAAAOCIQAwgWBEAAAwAGBEEC4IBACAAA4IBACCBcEQgAAAAcEQgDhglVGAQAA\\\n",
       "ACBMMUIIoF4yTTPUXQBQx9Xk/ycKCgq8HvkrKCjw+zoAEGqGyV0VgHrowIEDatOmTai7AaAO279/\\\n",
       "v1q3bu3TOT169NC3337r1/UyMzO1detWv84FgFAhEAKol6xWqw4dOqTExMSwfn4nPz9fbdq00f79\\\n",
       "+5WUlBTq7oQM38MZfA9nmKapgoICpaeny2Lx/emYHj16aOfOnT6d07FjR8IggHqJQAgA9Vh+fr6S\\\n",
       "k5OVl5cX1gGA7+EMvgcAgK9YVAYAAAAAwhSBEAAAAADCFIEQAOqxmJgYTZkyRTExMaHuSkjxPZzB\\\n",
       "9wAA8BXPEAIAAABAmGKEEAAAAADCFIEQAAAAAMIUgRAAAAAAwhSBEADqkPLycj300EPKyMhQfHy8\\\n",
       "0tPTNXr0aB06dKjac1955RW1b99esbGx6t+/v9avX293/PTp0xo/frxSUlKUkJCga6+9VkeOHAnW\\\n",
       "R6mR6j6Lo4ULF6pr166KjY1VRkaGPv30U7vjpmlq8uTJatmypeLi4pSdna2ff/45mB+hxmbMmKF+\\\n",
       "/fopMTFRLVq00PDhw7Vjx45qz2uI3wUAIHgIhABQhxQXF2vTpk167LHHtGnTJr3//vvasWOHhg0b\\\n",
       "5vG8BQsWaOLEiZoyZYo2bdqkHj16aPDgwTp69Kitzv3336+PPvpICxcu1IoVK3To0CFdc801wf5I\\\n",
       "PvPms5xt9erVGjlypMaOHavNmzdr+PDhGj58uLZt22ar8+yzz2rWrFmaO3eu1q1bp/j4eA0ePFin\\\n",
       "T5+urY/lsxUrVmj8+PFau3atli5dqvLycl1xxRUqKipye05D/S4AAEFkAgDqtPXr15uSzL1797qt\\\n",
       "c8EFF5jjx4+3va+srDTT09PNGTNmmKZpmrm5uWZUVJS5cOFCW53t27ebksw1a9YEr/N+qO6zOLr+\\\n",
       "+uvNIUOG2JX179/fvP32203TNE2r1WqmpaWZzz33nO14bm6uGRMTY7777rtB+ATBcfToUVOSuWLF\\\n",
       "Crd1wuW7AAAEDiOEAFDH5eXlyTAMNW7c2OXxsrIybdy4UdnZ2bYyi8Wi7OxsrVmzRpK0ceNGlZeX\\\n",
       "29Xp2rWr2rZta6tTF3jzWRytWbPGrr4kDR482FZ/9+7dysnJsauTnJys/v3716nPXp28vDxJUtOm\\\n",
       "Td3WCZfvAgAQOARCAKjDTp8+rYceekgjR45UUlKSyzrHjx9XZWWlUlNT7cpTU1OVk5MjScrJyVF0\\\n",
       "dLRTqDy7Tl3gzWdxlJOTU+1nryrzts26xmq1asKECbrwwgvVvXt3t/XC4bsAAAQWgRAAQmjevHlK\\\n",
       "SEiwvb766ivbsfLycl1//fUyTVOvvvpqCHuJUBs/fry2bdum+fPnh7orAIAGJjLUHQCAcDZs2DD1\\\n",
       "79/f9r5Vq1aS/hcG9+7dqy+++MLt6KAkNWvWTBEREU4rhh45ckRpaWmSpLS0NJWVlSk3N9dulPDs\\\n",
       "OnWBN5/FUVpaWrWfvaqsZcuWdnV69uwZwN4Hx913362PP/5YK1euVOvWrT3WbejfBQAg8BghBIAQ\\\n",
       "SkxM1Lnnnmt7xcXF2cLgzz//rM8//1wpKSke24iOjlafPn20bNkyW5nVatWyZcuUlZUlSerTp4+i\\\n",
       "oqLs6uzYsUP79u2z1akLvPksjrKysuzqS9LSpUtt9Tt06KC0tDS7Ovn5+Vq3bl2d+uyOTNPU3Xff\\\n",
       "rQ8++EBffPGFOnToUO05DfW7AAAEUahXtQEA/E9ZWZk5bNgws3Xr1uaWLVvMw4cP216lpaW2epdf\\\n",
       "frn5l7/8xfZ+/vz5ZkxMjPnmm2+aP/zwg3nbbbeZjRs3NnNycmx17rjjDrNt27bmF198YW7YsMHM\\\n",
       "ysoys7KyavXzeaO6z3LzzTebf/7zn231v/76azMyMtJ8/vnnze3bt5tTpkwxo6KizO+++85W5+mn\\\n",
       "nzYbN25sLl682Pz222/Nq6++2uzQoYNZUlJS65/PW3feeaeZnJxsfvnll3Z/D4qLi211wuW7AAAE\\\n",
       "D4EQAOqQ3bt3m5JcvpYvX26r165dO3PKlCl25/7lL38x27Zta0ZHR5sXXHCBuXbtWrvjJSUl5l13\\\n",
       "3WU2adLEbNSokfm73/3OPHz4cC18Kt95+iwDBw40x4wZY1f/vffeMzt37mxGR0eb559/vvnJJ5/Y\\\n",
       "HbdareZjjz1mpqammjExMeagQYPMHTt21MZH8Zu7vwdvvPGGrU64fBcAgOAxTNM0QzM2CQAAAAAI\\\n",
       "JZ4hBAAAAIAwRSAEAAAAgDBFIAQAAACAMEUgBAAAAIAwRSAEAAAAgDBFIAQAAACAMEUgBAAAAIAw\\\n",
       "RSAEAAAAgDBFIAQA1At/+9vfdMUVVwT9OkuWLFHPnj1ltVqDfi0AAEKNQAgAqPNOnz6txx57TFOm\\\n",
       "TAn6ta688kpFRUVp3rx5Qb8WAAChRiAEANR5//rXv5SUlKQLL7ywVq53yy23aNasWbVyLQAAQolA\\\n",
       "CACoNceOHVNaWpqeeuopW9nq1asVHR2tZcuWuT1v/vz5Gjp0qF3ZpZdeqgkTJtiVDR8+XLfccovt\\\n",
       "ffv27TV9+nSNHj1aCQkJateunT788EMdO3ZMV199tRISEpSZmakNGzbYtTN06FBt2LBBO3fu9P/D\\\n",
       "AgBQDxAIAQC1pnnz5vr73/+uqVOnasOGDSooKNDNN9+su+++W4MGDXJ73qpVq9S3b1+/rvnSSy/p\\\n",
       "wgsv1ObNmzVkyBDdfPPNGj16tEaNGqVNmzapY8eOGj16tEzTtJ3Ttm1bpaam6quvvvLrmgAA1BcE\\\n",
       "QgBArfrtb3+rcePG6aabbtIdd9yh+Ph4zZgxw2393Nxc5eXlKT093e/r3X777erUqZMmT56s/Px8\\\n",
       "9evXTyNGjFDnzp310EMPafv27Tpy5Ijdeenp6dq7d69f1wQAoL4gEAIAat3zzz+viooKLVy4UPPm\\\n",
       "zVNMTIzbuiUlJZKk2NhYv66VmZlp+zk1NVWSlJGR4VR29OhRu/Pi4uJUXFzs1zUBAKgvCIQAgFq3\\\n",
       "c+dOHTp0SFarVXv27PFYNyUlRYZh6NSpU9W2W1lZ6VQWFRVl+9kwDLdljttMnDx5Us2bN6/2mgAA\\\n",
       "1GcEQgBArSorK9OoUaN0ww036IknntAf//hHp9G5s0VHR6tbt2764YcfnI45TvPctWtXQPp4+vRp\\\n",
       "7dy5U7169QpIewAA1FUEQgBArXrkkUeUl5enWbNm6aGHHlLnzp31hz/8weM5gwcP1qpVq5zKFy9e\\\n",
       "rPfff187d+7Uk08+qR9++EF79+7VwYMHa9THtWvXKiYmRllZWTVqBwCAuo5ACACoNV9++aVmzpyp\\\n",
       "t99+W0lJSbJYLHr77bf11Vdf6dVXX3V73tixY/Xpp58qLy/PrnzIkCF69tln1a1bN61cuVJz5szR\\\n",
       "+vXr9fbbb9eon++++65uuukmNWrUqEbtAABQ1xnm2etsAwBQR40YMUK9e/fWpEmTJJ3Zh7Bnz56a\\\n",
       "OXNmQK9z/PhxdenSRRs2bFCHDh0C2jYAAHUNI4QAgHrhueeeU0JCQtCvs2fPHs2ZM4cwCAAIC4wQ\\\n",
       "AgDqpWCNEAIAEE4IhAAAAAAQppgyCgAAAABhikAIAAAAAGGKQAgAAAAAYYpACAAAAABhikAIAAAA\\\n",
       "AGGKQAgAAAAAYYpACAAAAABhikAIAAAAAGGKQAgAAAAAYYpACAAAAABhikAIAAAAAGGKQAgAAAAA\\\n",
       "YYpACAAAAABhikAIAAAAAGHq/wNYxeDDUWBbxQAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "  frames[46] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAaAVJREFUeJzt3Xd8VFXi///3nfROCJAQQECKCARBmrgoKii6WFjr8lVBxI4F\\\n",
       "2VXXBmJjbYiuIh91lV0XFVkVV0UUUUCp0hSk6ALSQ08CCWkz9/cHv8wyNTOTmUyS+3o+HvMwc++5\\\n",
       "5547Cea+c849xzBN0xQAAAAAwHJs0W4AAAAAACA6CIQAAAAAYFEEQgAAAACwKAIhAAAAAFgUgRAA\\\n",
       "AAAALIpACAAAAAAWRSAEAAAAAIsiEAIAAACARREIAQAAAMCiCIQAAAAAYFEEQgAAAACwKAIhAAAA\\\n",
       "AFgUgRAAAAAALIpACAAAAAAWRSAEAIRk/vz5MgxD8+fPj3ZTEGbLly9XfHy8tm3bVuvnPnjwoFJS\\\n",
       "UjR79uxaPzcAWBGBEADg15QpUzRt2rRoNyMk7777riZPnhztZkiSHA6Hnn32WbVt21aJiYnq1q2b\\\n",
       "3nvvvYCPLygo0C233KKmTZsqJSVF5557rlatWuVRbsaMGbruuuvUoUMHGYahc845J+i2Pvzwwxo2\\\n",
       "bJhat24d9LE1lZWVpZtuukmPPvporZ8bAKzIME3TjHYjAAB1V9euXdWkSROPnkCHw6Hy8nLFx8fL\\\n",
       "Zqubf1+8+OKLtW7dOv3222/RbooefPBB/fWvf9XNN9+s3r1765NPPtHnn3+u9957T3/84x/9Hutw\\\n",
       "OHTWWWfpxx9/1H333acmTZpoypQp2rFjh1auXKkOHTo4y55zzjlauXKlevfurTVr1qhbt25B9eKu\\\n",
       "WbNGPXr00OLFi9WvX79QL7dGNmzYoM6dO2vevHk677zzotIGALAKAiEABKC4uFgpKSnRbkZU+AqE\\\n",
       "9UFdCYS7du1S27Ztdcstt+iVV16RJJmmqQEDBmjr1q367bffFBMT4/P4Dz74QNdcc41mzpypK6+8\\\n",
       "UpK0f/9+dezYURdddJHeffddZ9kdO3aoRYsWstlsIX3v7rnnHs2aNUu//fabDMMI7YLDIC8vTz16\\\n",
       "9NA///nPqLUBAKygbv5JFwAiaNeuXRo1apRyc3OVkJCgtm3b6vbbb1d5ebkkadq0aTIMQwsWLNAd\\\n",
       "d9yhZs2aqWXLls7jp0yZoi5duighIUG5ubkaPXq0CgoKXM7x66+/6oorrlBOTo4SExPVsmVL/fGP\\\n",
       "f1RhYaGzzNy5c9W/f381atRIqampOuWUU/TQQw9V2/5AjisrK9P48ePVvn17JSQkqFWrVrr//vtV\\\n",
       "VlbmUd+//vUv9enTR8nJycrMzNTZZ5+tr776SpLUpk0b/fzzz1qwYIEMw3AZgujrGcKZM2eqZ8+e\\\n",
       "SkpKUpMmTXTddddp165dLmVuuOEGpaamateuXRo6dKhSU1PVtGlT/fnPf5bdbq/2M/jkk080ZMgQ\\\n",
       "5/ewXbt2euKJJ1yOPeecc/T5559r27Ztzra3adPGZ5033HCDs5z767HHHqu2TdW1t6KiQnfccYdz\\\n",
       "m2EYuv3227Vz504tWbLE7/H//ve/lZ2drcsvv9y5rWnTprr66qv1ySefuHxfW7VqVaMe21mzZum8\\\n",
       "887zCIO+Poc2bdrohhtucL6v+vfz/fff6+6771bTpk3VqFEj3XrrrSovL1dBQYGGDx+uzMxMZWZm\\\n",
       "6v7775e3v02ff/75+vTTT73uAwCET2y0GwAAtWn37t3q06eP83msTp06adeuXfr3v/+tkpISxcfH\\\n",
       "O8vecccdatq0qcaNG6fi4mJJ0mOPPaYJEyZo0KBBuv3227Vp0ya99tpr+uGHH7Ro0SLFxcWpvLxc\\\n",
       "gwcPVllZme666y7l5ORo165d+uyzz1RQUKCMjAz9/PPPuvjii9WtWzc9/vjjSkhI0H//+18tWrTI\\\n",
       "b/sDOc7hcOjSSy/V999/r1tuuUWnnnqq1q5dqxdffFG//PKLZs2a5Sw7YcIEPfbYYzrzzDP1+OOP\\\n",
       "Kz4+XsuWLdM333yjCy64QJMnT9Zdd92l1NRUPfzww5Kk7Oxsn+2bNm2aRo4cqd69e2vixInau3ev\\\n",
       "XnrpJS1atEirV69Wo0aNnGXtdrsGDx6svn376vnnn9fXX3+tF154Qe3atdPtt9/u93OYNm2aUlNT\\\n",
       "NXbsWKWmpuqbb77RuHHjVFRUpOeee07S8efgCgsLtXPnTr344ouSpNTUVJ913nrrrRo0aJDLtjlz\\\n",
       "5mj69Olq1qyZc9uBAwf8tq1KWlqaEhISJEmrV69WSkqKTj31VJcyffr0ce7v37+/z7pWr16t008/\\\n",
       "3SPo9enTR6+//rp++eUX5eXlBdQuf3bt2qXt27fr9NNPr3FdVT/7EyZM0NKlS/X666+rUaNGWrx4\\\n",
       "sU466SQ9/fTTmj17tp577jl17dpVw4cPdzm+Z8+eevHFF/Xzzz+ra9euNW4PAMAHEwAsZPjw4abN\\\n",
       "ZjN/+OEHj30Oh8M0TdN8++23TUlm//79zcrKSuf+ffv2mfHx8eYFF1xg2u125/ZXXnnFlGS+9dZb\\\n",
       "pmma5urVq01J5syZM32248UXXzQlmfv37w+q/YEc984775g2m8387rvvXLZPnTrVlGQuWrTINE3T\\\n",
       "/PXXX02bzWb+4Q9/cLke0/zfZ2GaptmlSxdzwIABHuf59ttvTUnmt99+a5qmaZaXl5vNmjUzu3bt\\\n",
       "ah47dsxZ7rPPPjMlmePGjXNuGzFihCnJfPzxx13q7NGjh9mzZ0//H4JpmiUlJR7bbr31VjM5Odks\\\n",
       "LS11bhsyZIjZunXrauvz5tdffzUzMjLM888/3+XnQFJAr7ffftulHSeffLLHOYqLi01J5l/+8he/\\\n",
       "bUlJSTFvvPFGj+2ff/65KcmcM2eO1+N8fe98+frrr01J5qeffuqxT5I5fvx4j+2tW7c2R4wY4Xxf\\\n",
       "9e9n8ODBLj9H/fr1Mw3DMG+77TbntsrKSrNly5Ze27h48WJTkjljxoyA2w8ACB5DRgFYhsPh0KxZ\\\n",
       "s3TJJZeoV69eHvvdh8jdfPPNLs91ff311yovL9eYMWNcempuvvlmpaen6/PPP5ckZWRkSJK+/PJL\\\n",
       "lZSUeG1LVU/ZJ598IofDEfA1BHLczJkzdeqpp6pTp046cOCA81U1Oce3334r6fjQQIfDoXHjxnn0\\\n",
       "PIXy7NiKFSu0b98+3XHHHUpMTHRuHzJkiDp16uT8fE502223ubw/66yztGXLlmrPlZSU5Pz6yJEj\\\n",
       "OnDggM466yyVlJRo48aNQbfdXXFxsf7whz8oMzNT7733nsvPwdy5cwN6DR482HnMsWPHnL2FJ6r6\\\n",
       "nI4dO+a3PTU9PlAHDx6UJGVmZta4rlGjRrn8HPXt21emaWrUqFHObTExMerVq5fX73lVGwLtkQUA\\\n",
       "hIYhowAsY//+/SoqKgp4+Fnbtm1d3letyXbKKae4bI+Pj9fJJ5/s3N+2bVuNHTtWkyZN0vTp03XW\\\n",
       "WWfp0ksv1XXXXecMi9dcc43efPNN3XTTTfrLX/6igQMH6vLLL9eVV17p9/mvQI779ddftWHDBjVt\\\n",
       "2tRrHfv27ZMkbd68WTabTZ07dw7o86iOr89Hkjp16qTvv//eZVtiYqJHGzMzM3X48OFqz/Xzzz/r\\\n",
       "kUce0TfffKOioiKXfSc+pxmqm2++WZs3b9bixYuVlZXlss99WGkgkpKSvD6/WVpa6twfyeODZYbh\\\n",
       "ub2TTjrJ5X3Vz36rVq08tnv7nle1IZoT2wCAFRAIAcCHmtxkv/DCC7rhhhv0ySef6KuvvtLdd9+t\\\n",
       "iRMnaunSpWrZsqWSkpK0cOFCffvtt/r88881Z84czZgxQ+edd56++uornzNOBnKcw+FQXl6eJk2a\\\n",
       "5LUO9xvyaPE3q6Y/BQUFGjBggNLT0/X444+rXbt2SkxM1KpVq/TAAw8E1ePqzUsvvaT33ntP//rX\\\n",
       "v9S9e3eP/fn5+QHVk5GR4fwZat68ub799luZpukScPbs2SNJys3N9VtX8+bNnWVPFOjxgaoKv4GE\\\n",
       "8iq+wqOv76+37d7qqGpDkyZNAm4LACB4DBkFYBlNmzZVenq61q1bF9LxVYt0b9q0yWV7eXm5tm7d\\\n",
       "6rGId15enh555BEtXLhQ3333nXbt2qWpU6c699tsNg0cOFCTJk3S+vXr9dRTT+mbb75xDun0pbrj\\\n",
       "2rVrp0OHDmngwIEaNGiQx6uqB69du3ZyOBxav3693/MF2kPj6/Op2hauRc7nz5+vgwcPatq0abrn\\\n",
       "nnt08cUXa9CgQV6HOQbbu/Tdd9/pz3/+s8aMGaNrr73Wa5nmzZsH9JoxY4bzmO7du6ukpEQbNmxw\\\n",
       "qWvZsmXO/f50795dq1at8gi7y5YtU3Jysjp27BjUdfrSqVMnSdLWrVu97j9y5IjHtqoe53CraoP7\\\n",
       "RDwAgPAiEAKwDJvNpqFDh+rTTz/VihUrPPZXN0xu0KBBio+P18svv+xS9u9//7sKCws1ZMgQSVJR\\\n",
       "UZEqKytdjs3Ly5PNZnMO+zt06JBH/VWhwNvQwCqBHHf11Vdr165deuONNzzKHjt2zDlj6tChQ2Wz\\\n",
       "2fT44497BI0Try8lJcVjWQ1vevXqpWbNmmnq1Kku1/DFF19ow4YNzs+npqp6mE5sY3l5uaZMmeJR\\\n",
       "NiUlJeAhpHv27NHVV1+t/v37O2cq9SaUZwgvu+wyxcXFubTRNE1NnTpVLVq00JlnnunSjo0bN6qi\\\n",
       "osK57corr9TevXv10UcfObcdOHBAM2fO1CWXXOL1+cJQtGjRQq1atfL670OSxxIjX3zxhUpLSyOy\\\n",
       "NMTKlSuVkZGhLl26hL1uAMD/MGQUgKU8/fTT+uqrrzRgwADnkgx79uzRzJkz9f3337ssi+CuadOm\\\n",
       "evDBBzVhwgRdeOGFuvTSS7Vp0yZNmTJFvXv31nXXXSdJ+uabb3TnnXfqqquuUseOHVVZWal33nlH\\\n",
       "MTExuuKKKyRJjz/+uBYuXKghQ4aodevW2rdvn6ZMmaKWLVv6XX4gkOOuv/56ffDBB7rtttv07bff\\\n",
       "6ne/+53sdrs2btyoDz74QF9++aV69eql9u3b6+GHH9YTTzyhs846S5dffrkSEhL0ww8/KDc3VxMn\\\n",
       "TpR0fPr/1157TU8++aTat2+vZs2aOSeoOVFcXJyeeeYZjRw5UgMGDNCwYcOcy060adNG9957b6jf\\\n",
       "NhdnnnmmMjMzNWLECN19990yDEPvvPOO11DSs2dPzZgxQ2PHjlXv3r2VmpqqSy65xGu9d999t/bv\\\n",
       "36/7779f77//vsu+bt26qVu3bpJCe4awZcuWGjNmjJ577jlVVFSod+/emjVrlr777jtNnz7dZRjl\\\n",
       "gw8+qH/84x/aunWrc93EK6+8UmeccYZGjhyp9evXq0mTJpoyZYrsdrsmTJjgcq6FCxdq4cKFko4/\\\n",
       "N1tcXKwnn3xSknT22Wfr7LPP9tvWyy67TB9//LHH8FZJ2rBhg37/+9/r0ksv1e7du/XSSy8pIyND\\\n",
       "ixcv1nvvvadhw4YF/dn4MnfuXF1yySU8QwgAkRaNqU0BIJq2bdtmDh8+3GzatKmZkJBgnnzyyebo\\\n",
       "0aPNsrIy0zT/N22+t6UpTPP4MhOdOnUy4+LizOzsbPP22283Dx8+7Ny/ZcsW88YbbzTbtWtnJiYm\\\n",
       "mo0bNzbPPfdc8+uvv3aWmTdvnnnZZZeZubm5Znx8vJmbm2sOGzbM/OWXX/y2PdDjysvLzWeeecbs\\\n",
       "0qWLmZCQYGZmZpo9e/Y0J0yYYBYWFrqUfeutt8wePXo4yw0YMMCcO3euc39+fr45ZMgQMy0tzZTk\\\n",
       "XCLAfdmJKjNmzHDW17hxY/Paa681d+7c6VJmxIgRZkpKisf1jR8/3gzkV9OiRYvMM844w0xKSjJz\\\n",
       "c3PN+++/3/zyyy892nP06FHz//2//2c2atTIlOR3CYoBAwb4XELC23ILwbLb7ebTTz9ttm7d2oyP\\\n",
       "jze7dOli/utf//IoV7Ukx9atW122Hzp0yBw1apSZlZVlJicnmwMGDPD6M1r1GYZ6HatWrTIleSxb\\\n",
       "IskcO3asedVVV5lJSUlm8+bNzVdeecWcOnWqmZycbN50002mafr+91PVLvclU7z9LGzYsMGU5PJv\\\n",
       "BgAQGYZpRmCcBwAAqLcGDhyo3NxcvfPOO85thmFo/PjxeuyxxyJ+/jFjxmjhwoVauXIlPYQAEGE8\\\n",
       "QwgAAFw8/fTTmjFjhnMpkdp08OBBvfnmm3ryyScJgwBQC3iGEAAAuOjbt6/Ky8ujcu6srCwdPXo0\\\n",
       "KucGACuihxAAAAAALIoeQgAAUC2mHACAhokeQgAAAACwKAIhAAAAAFgUQ0YB1EsOh0O7d+9WWloa\\\n",
       "MxECcGGapo4cOaLc3FzZbMH/7TsvL09btmwJ6piTTz5Za9euDfpcABBtrEMIoF7auXOn3nzzzWg3\\\n",
       "A0AdNWHCBO3YsUMtW7YM6ri8vDytW7cupHN27dqVUAig3qGHEEC9lJaWJkn0DgLwqer/E8EItmcw\\\n",
       "1GO9/b+r6m/0V199tWbOnOn1OP6ODyDcCIQA6iWCIIDq1PT/E4EeH+6Q9p///Ces9QGAPwRCAAAA\\\n",
       "N4ZhBBUogw2FJ5Z3P09paanX9lT9l15CAOHELKMAAABuqgJhoC9JKikpUUpKivPVt2/fsLcrOTk5\\\n",
       "7HUCsDZ6CAEAANwE20NYpaSkxPn18uXLw9KWvLw859fFxcVhqRMAqhAIAQAA3IQaCE/swevatWuN\\\n",
       "23H11Vc7Zz2ldxBAJBAIAQAA3IQSCJOTk8Pag+c+2yi9gwAigWcIAQAA6hj3MMhEMgAihUAIAADg\\\n",
       "JpRJZYKRmZnpcWzVe2/rEFbtu+CCC2p8bQBwIoaMAgAAuAk16AWqoKDA5z5fi9JL0ty5cyPQGgBW\\\n",
       "RiAEAABwE+lAyBBQAHUFgRAAAMBNpAMhANQVBEIAAAA3BEIAVsGkMgAAAABgUfQQAgAAuKGHEIBV\\\n",
       "0EMIIGB//etfZRiGxowZ47fczJkz1alTJyUmJiovL0+zZ8922W+apsaNG6fmzZsrKSlJgwYN0q+/\\\n",
       "/hrBlgNAcCK97AQA1BUEQgAB+eGHH/R///d/6tatm99yixcv1rBhwzRq1CitXr1aQ4cO1dChQ7Vu\\\n",
       "3TpnmWeffVYvv/yypk6dqmXLliklJUWDBw9WaWlppC8DAAJCIARgFQRCANU6evSorr32Wr3xxhvK\\\n",
       "zMz0W/all17ShRdeqPvuu0+nnnqqnnjiCZ1++ul65ZVXJB3vHZw8ebIeeeQRXXbZZerWrZv++c9/\\\n",
       "avfu3Zo1a1YtXA0AVI9ACMAqCIQAqjV69GgNGTJEgwYNqrbskiVLPMoNHjxYS5YskSRt3bpV+fn5\\\n",
       "LmUyMjLUt29fZxlvysrKVFRU5PICgEghEAKwCgIhAL/ef/99rVq1ShMnTgyofH5+vrKzs122ZWdn\\\n",
       "Kz8/37m/apuvMt5MnDhRGRkZzlerVq2CuQwAAAB4QSAE4NOOHTt0zz33aPr06UpMTIxqWx588EEV\\\n",
       "FhY6Xzt27IhqewA0bPQQArAKlp0A4NPKlSu1b98+nX766c5tdrtdCxcu1CuvvKKysjLFxMS4HJOT\\\n",
       "k6O9e/e6bNu7d69ycnKc+6u2NW/e3KVM9+7dfbYlISFBCQkJNb0kAAgIQQ+AVdBDCMCngQMHau3a\\\n",
       "tVqzZo3z1atXL1177bVas2aNRxiUpH79+mnevHku2+bOnat+/fpJktq2baucnByXMkVFRVq2bJmz\\\n",
       "DADUBfQOArACeggB+JSWlqauXbu6bEtJSVFWVpZz+/Dhw9WiRQvnM4b33HOPBgwYoBdeeEFDhgzR\\\n",
       "+++/rxUrVuj111+XJOc6hk8++aQ6dOigtm3b6tFHH1Vubq6GDh1aq9cHAL4EE/YIhQDqMwIhgBrZ\\\n",
       "vn27bLb/DTY488wz9e677+qRRx7RQw89pA4dOmjWrFkuwfL+++9XcXGxbrnlFhUUFKh///6aM2dO\\\n",
       "1J9TBIAqBEIAVmGYpmlGuxEAEKyioiJNmjSJGzEAXj322GMqLCxUenp6UMelpKSopKRETZo0cflj\\\n",
       "lz8Oh0MHDhxQcnKyiouLQ2kuAEQNzxACAAAAgEUxZBQAAMANQ0YBWAWBEAAAwA2BEIBVEAgBNHjj\\\n",
       "x4+PdhMAhNGECRMifg4CIQCrIBACAAC4IRACsAoCIQAAgBsCIQCrYJZRAAAAALAoeggBAADc0EMI\\\n",
       "wCoIhAAAAG4IhACsgkAIAADghkAIwCoIhAAAAG4IhACsgkAIAADghkAIwCqYZRQAAAAALIoeQgAA\\\n",
       "ADf0EAKwCgIhAACAGwIhAKsgEAIAALghEAKwCgIhAACAGwIhAKsgEAIAAHhB0ANgBcwyCgAAAAAW\\\n",
       "RQ8hAACAG4aMArAKAiEAAIAbAiEAqyAQAgAAuCEQArAKAiEAAIAbAiEAqyAQAgAAuCEQArAKAiEA\\\n",
       "AIAbAiEAq2DZCQAAAACwKHoIAQAA3NBDCMAqCIQAAABuCIQArIIhowAAAG6qAmGgr3DUf6I1a9aE\\\n",
       "5TwAUB0CIQAAgJtIB8Lq9OjRw+v2vLy8sJ8LgLUxZBQAAMBNpIeMmqbp8/g1a9Z4lEtMTFRZWZnW\\\n",
       "rVsX9LkAwB96CAEAAOoQb72DpaWlUWgJACsgEAIAALgJZchoSUmJUlJSnK++fftG+SoAoHoMGQUA\\\n",
       "AHAT6pDRkpIS59fLly8Pe7sAINwIhAAAAG5CDYTJycnOr7t27Rr2dgFAuBEIAQAA3IQSCJOTk1Vc\\\n",
       "XFzjc69evdrjOcKUlJQa1wsA3hAIAQAA3ER6ltHMzEwVFBR4rcffDKT0OgIINyaVAQAAqGXuYdDd\\\n",
       "6tWrvW5fu3ZtBFoDwMroIQQAAHBTm+sQetO9e/dqywBAOBAIAQAAvAgl6AFAfUMgBAAAcBPpHkIA\\\n",
       "qCsIhAAAAG4IhACsgkAIAADghkAIwCoIhAAAAG4IhACsgmUnAAAAAMCi6CEEAABwQw8hAKsgEAIA\\\n",
       "ALghEAKwCgIhAACAGwIhAKsgEAIAALghEAKwCgIhAACAGwIhAKtgllEAAAAAsCh6CAGgDvPV82Ca\\\n",
       "Zi23JLpq0gNT3Wdltd4dq/3shIoeQgBWQSAEgHrGajefNQkw1X1WP/74Y8h1o2EjEAKwCgIhANQz\\\n",
       "Docj2k2oVSUlJSEfW1lZ6Xd/9+7dQ64bDRuBEIBVEAgBoJ6IjY1VRUVFtJtR6xISEvzuj4mJkWEY\\\n",
       "HuFv8eLFstl8PyrPTTz8IRACsAomlQHg08SJE9W7d2+lpaWpWbNmGjp0qDZt2lTtcTNnzlSnTp2U\\\n",
       "mJiovLw8zZ4922W/aZoaN26cmjdvrqSkJA0aNEi//vprpC6jXjNN0/myYhiUjgdhb2w2m0zTVGVl\\\n",
       "pSoqKlw+K9M01a9fP591dunSJSxta9WqlTZs2ODxMx4tJ16/1XqSw60qEAb6AoD6ikAIwKcFCxZo\\\n",
       "9OjRWrp0qebOnauKigpdcMEFKi4u9nnM4sWLNWzYMI0aNUqrV6/W0KFDNXToUK1bt85Z5tlnn9XL\\\n",
       "L7+sqVOnatmyZUpJSdHgwYNVWlpaG5eFeqisrMzl/T/+8Q/Z7faQ6vrhhx+0fv36kNty4MABZ+ja\\\n",
       "vn27OnXqpIsuuijqk7W4n98wDJmmSVgBAPjFkFEAPs2ZM8fl/bRp09SsWTOtXLlSZ599ttdjXnrp\\\n",
       "JV144YW67777JElPPPGE5s6dq1deeUVTp06VaZqaPHmyHnnkEV122WWSpH/+85/Kzs7WrFmz9Mc/\\\n",
       "/jGyF4V6KT4+PiyBKyUlpUbPJDocDr8Ba+7cuTr//PNDrj9U/j6b6toM7xgyCsAq6CEEELDCwkJJ\\\n",
       "UuPGjX2WWbJkiQYNGuSybfDgwVqyZIkkaevWrcrPz3cpk5GRob59+zrLeFNWVqaioiKXF+qPaPee\\\n",
       "rVu3ToZh1CgMStXf+Lv/7NeGFi1aVFtmz549tdCShoUhowCsgkAIICAOh0NjxozR7373O3Xt2tVn\\\n",
       "ufz8fGVnZ7tsy87OVn5+vnN/1TZfZbyZOHGiMjIynK9WrVqFeimoRVU3yzabLWo3zaZpKi8vr8b1\\\n",
       "dO7cOQytCb+dO3dWWyYnJ0e//fZb5BvTgBAIAVgFgRBAQEaPHq1169bp/fffj8r5H3zwQRUWFjpf\\\n",
       "O3bsiEo7EDhvN8kXXXSR32MWLlyo5557LqztuPjii6stUzVBzYkv9xlKf/7557C2q6aqnhEMVOvW\\\n",
       "raPeU1vfEAYBWAGBEEC17rzzTn322Wf69ttv1bJlS79lc3JytHfvXpdte/fuVU5OjnN/1TZfZbxJ\\\n",
       "SEhQenq6ywvhc8455+icc84JW32+bpLXrFnj95gBAwbo/vvvl2EYIU8a4+6NN97wu79169Zez2W3\\\n",
       "23XbbbcpKSlJx44dC/h8W7ZsCbqNkrR06VI5HA7Z7XaNHDnSZ7m4uDg5HA5mEY0weggBWAWBEIBP\\\n",
       "pmnqzjvv1Mcff6xvvvlGbdu2rfaYfv36ad68eS7b5s6d61wCoG3btsrJyXEpU1RUpGXLlvldJgCR\\\n",
       "tXTpUi1dujQsdfn7Pm7fvt3r9jZt2nhs87XcRJVAb8Zzc3N9lrnxxhv9DqV87bXXVFJSosTERL/n\\\n",
       "OFHbtm2D+oNF06ZNZZqm+vbt6xxe+9Zbb3ksIVH1dXl5OQEEABA2zDIKwKfRo0fr3Xff1SeffKK0\\\n",
       "tDTnM34ZGRlKSkqSJA0fPlwtWrTQxIkTJUn33HOPBgwYoBdeeEFDhgzR+++/rxUrVuj111+XdPwm\\\n",
       "fsyYMXryySfVoUMHtW3bVo8++qhyc3M1dOjQqFwnFPSSH507d9bGjRuVnp6uzZs3KysrS3a7XYmJ\\\n",
       "iR4LxJ8oLi7O6/Zt27YFdX73QGQYhoqLi5WcnOy1vMPh0KpVq9SzZ09Jx8NmWVmZ34Xra6KwsFDN\\\n",
       "mzf3+1ysdLzd+/btq7Y+AmDtY5ZRAFZBIATg02uvvSZJHkMJ3377bd1www2Sjvf4nHhTfeaZZ+rd\\\n",
       "d9/VI488ooceekgdOnTQrFmzXCaiuf/++1VcXKxbbrlFBQUF6t+/v+bMmRNULwyi58Sb38LCQjVp\\\n",
       "0qTGdbZo0UK7du0KqGyfPn28bk9JSfH7jNzpp59eq8/Q7dmzR82aNdP+/ft9lmHYZ91FIARgFQRC\\\n",
       "AD4FcvM8f/58j21XXXWVrrrqKp/HGIahxx9/XI8//nhNmocoqO4Z0lDt3LnT46a6uLjYa9kffvjB\\\n",
       "Zz3BPu8Xafv27VNMTEydCn4NIbw8+OCDio+Pj+g5CIQArIJnCAEAAQu0F8+XlJQUn/tM01R2drYS\\\n",
       "ExNlt9t9Dv/0p7S0VIZhaNy4cTVpZlj5mhwnXJPmIDKYVAaAVRAIAQAB8dVjF4ySkhK/z+3l5+fr\\\n",
       "2LFjNX6274knnnDeqNeFpRZM09RTTz3lfH/w4MGIPb+I8CAQArAKfhsBAAKSmpoalnpM09Qrr7wS\\\n",
       "8vHBDr+sK8HroYcecs4U2rhx42rLFxUVOcNGo0aNIt9AuCAQArCKuvFbEgBgKQ8//HDIxxqGoYqK\\\n",
       "ijC2JjDl5eW1er6MjAzn14WFhXUm2AIAGhZ+uwAAqvXRRx+Ftb6DBw/W6PjY2FiZpqkuXbqEqUW+\\\n",
       "JSUlyTAMJSQk1NoQ1M8++8xjm2ma+umnn7yWj0ZAbujoIQRgFQRCAEC1wjlJS3FxcbWLzgdq3bp1\\\n",
       "ftc9lGo21NXhcHis0RhIT11NQ+PAgQO9bj/ttNNUUlLifN+iRQsZhqH4+HgZhqGtW7fW6Lz4HwIh\\\n",
       "AKsgEAIAqrVgwYKAyz733HPOZ+W8vUKZPdSfmJgYmaaphQsXet1/5MiRkOv2tcSFr6Ut+vTpI8Mw\\\n",
       "ZLPZahQSkpKSfO5LSUlxhpDdu3e77Dv55JNDPidcEQgBWAWBEABQraysrIB7xv785z/XQos8nXXW\\\n",
       "WTJNUzNmzNDJJ5+s/fv317inrnfv3l63ewu1/fv39wiQjzzyiM+6//CHP8gwDPXp08fr/rowO6qV\\\n",
       "EQgBWAWBEAAQELvdruXLl3vd96c//anOBJirr75amzdvVpMmTWpcl78Q3KlTJ+fXnTt31qJFizzK\\\n",
       "nLjUxInat2+vWbNmSTreC+krUAT7mZaVlQVVHr4RCAFYRXge4gAAWELv3r3rTPCrLe+//77++Mc/\\\n",
       "emzftGlTyEFg8+bNHttM0/RaX1lZmRISEqqt88CBA4qPj6+2XEP4/k2YMCHaTQCABoMeQgAA/Ljm\\\n",
       "mmtCPvbyyy8PuKyvmUKrJozxxzRNZWVlBdU2+EcPIQCrIBACAFCNUG/4P/zwQ6/bvU104693z+Fw\\\n",
       "eN3es2fPBtHjVxcRCAFYBYEQAFCrBgwY4HEzvWTJkmg3S9LxYZcntmvNmjUqKioK+oa/uvUKU1NT\\\n",
       "ZbfblZycrJycnIBCXXFxsfPrpKQkmaapFStWBNUuBI5ACMAqeIYQAFBrfN04n3nmmV63t2vXTv/9\\\n",
       "738j2SSn2bNna8iQIS7bevToIZvNFlQvXKBlbTabS8irTnJyMr2BtSiYoEcgBFCf0UMIAAhJsOEk\\\n",
       "lJvmzZs3O2/MT1z7r6CgQB06dNAZZ5xRbR2NGjVy1rFp0yaf5dzDYBWHw6GcnJxqz9OhQwcCWwNC\\\n",
       "DyEAqyAQAgCC8s4777gsvt62bdtqj4mNrfmAlOTkZOfNd2Zmpv773/9q2bJlMgxDP/74o8/zFhYW\\\n",
       "Ot936tTJ63IU/tq3YsUK7d69W6+++qrPMrGxsfrll1+CuBoAAOoGAiEAICAff/yxDMPQ8OHDXbb/\\\n",
       "9ttvfo9r3Lix7HZ7BFsmde/e3aOXZvjw4V7Pe/DgQRmGoYKCAlVUVCg2NtZn+yZPnqyePXtKku64\\\n",
       "4w6faxv6miG0SmVlpdLT09W4cWOVl5cHckmIMnoIAVgFgRAA4FWzZs1cbnj9LaHgaxZM0zR1+PDh\\\n",
       "SDXRg2EYatmypWw2m9555x2/ZTMzMxUfH+8zDCYmJuqee+5x2bZ//36lpKS4nK+6YaJ2u11xcXE6\\\n",
       "cuSIDh8+rISEhICOQ/RFKgw+8cQTXutZs2ZN+C8CAKrBpDIAYBFr165VaWmpevXq5fcmNjExUWVl\\\n",
       "ZUHVbbN5//ti+/btg6onHHbt2lWj4w3D8BlwJeno0aNB1edrOYlgJ6tB7YrkpDLjxo3zur1Hjx78\\\n",
       "TACodfQQAkAD98ADD8gwDHXr1k19+vRxPvs3Z84cl3I//PCDDMMIOgz6E41AWBPt2rXzGwZD4a++\\\n",
       "3//+92E9lz+33norQxuDUBtDRk3TdL4AIFroIQSABu7ZZ5/1uv2iiy6K+Lm//PLLehVCamuJiyrL\\\n",
       "ly+vlfOkp6fryJEjtXKuhiKUHsKSkhKXIcVdu3bVsmXL/B5nmma9+jcCoOGhhxAA6jCbzabWrVuH\\\n",
       "fHww69yFytdw0SqmaSorKyuoOlNSUlRRUaHS0tJau1mePHlyROr1F7x37NhRo7rj4+NlGIYGDRrk\\\n",
       "txxhMHih9hCWlJQ4X74C/9tvv+1ynir0FAKIBgIhANRhpmlq+/btIU9CcmJvRaQE0q4DBw64DI8z\\\n",
       "TVN2u91r2DNNU0ePHlVsbKwSEhLkcDiUlJTktd6///3vzvqq690zDMPnLKGSPCaQCZfZs2d73Z6U\\\n",
       "lOTzugLRunVr5+ym8+bN8/ms4s6dO0M+B4KXnJzsfPXp08drmZEjR3rdTk8hgGhgyCgA1BOhTkIS\\\n",
       "6pA093OdcsopXtfaC7VXw2azBfy8XklJiRwOh2JiYiRJ06dP1//7f//PpUy7du18XquvNh46dEiN\\\n",
       "Gzf2e+4jR44oPT3dZVtpaakSEhICaru/89fE9u3bXd5XVFQoKytLBw8edNmemZkZ9nNbQShDRpOT\\\n",
       "k4PqlT/x54IwCCBaCIQAUE9cd911IR9rt9udYao6qampXocYbtq0Kao3rYEG4hNDoa9rqVJdGJTk\\\n",
       "EQal4zOxrlixwrlGYTSkpaV5XNuhQ4c8ytVGL3FDFMlZRgGgLmHIKADUAwkJCdWuq+eP+3N+cXFx\\\n",
       "HkM4q17+AlR9WVQ9kGsJhL8ezF69etWo7prat29fwGVrczbThqI2ZhllYXsAdQGBEADqMIfDIdM0\\\n",
       "VVpaGtZ6jx07FtJxcXFxSk1Nddk2bdq0MLSofjp8+HDUzp2YmBhw2c8//1xLly6NYGsankgGwrS0\\\n",
       "NK/bzz///HA0HQCCQiAEgDosXD0HmzZtcnlfkyBz5MgRnXPOOZKkzp07a8SIETVpWp1W3Qyqe/fu\\\n",
       "raWW1Fzfvn2ZxTIIkQyERUVFXnvnv/rqqwhdDQD4RiAEAAvIy8tzeT9gwIAa1fftt9/q0KFD+vnn\\\n",
       "n2tUT33Xpk2baDcBAIAaYVIZALCAquUJqqxfv77GdVpl9kp/s7QGM2wT9QuTygCwCnoIAaCe2rhx\\\n",
       "o8uQtZUrV0a7SQ2Wt1Bot9uj1JrjsrOzo3r+hq42JpUBgLqAQAgA9VB5eblOPfVUl229evXSTz/9\\\n",
       "FHAdoT5Ptm7durD0MAbrrbfeUvPmzXXqqacGtdZbdQJdC7Fqgp+qV3XPF0bSt99+63OW0ZKSklpu\\\n",
       "TcNEIARgFQRCAKiHkpKSvG4/7bTTvG53X6xcCn6Y27hx42QYhvLy8tSlS5dauwlu3769DMPQqFGj\\\n",
       "lJ+fr40bNyo1NVVvvvlmjerduXOnDMNQTEyMDMNQbGz9eIpi3759Ou+883zuz8rKqsXWNFwEQgBW\\\n",
       "QSAEgHoo2BvQxo0buyw1EWzvoN1u1xNPPOGx/aOPPgqqnmDZ7XZt3rzZ677333+/RvW2atXKY1v/\\\n",
       "/v1DrjMrK8sZDtyf2Qyn6oaKhnuJEqsiEAKwCgIhANRDvm76/U1ykpiY6BzuGCxfvU5XXnll0HUF\\\n",
       "w99zkV9//XXI9frqDVy0aFFI9RmGoUOHDjnfx8fHe/2cy8vLZbPZFBcXF9J5Am2fYRgsMQEACAiB\\\n",
       "EADqMJvNptTUVJWXl7tsj42N9ZjUJD4+PuQF56vjK2hGumekT58+XrcfPXo0oucNB/dnDO12uxIS\\\n",
       "EmSapiorK0P67M4666ygzt+2bdugz4Hj6CEEYBUEQgCow0zTVHFxsRISEjwmkbHZbC6TnJSVlUWs\\\n",
       "HXv27PG6fefOnRE7ZxWHw+G84Y6Li5NpmkpJSfFZvmrCF8MwtGvXroi3z5+4uDg5HA5t377da6+k\\\n",
       "YRh67bXXtGjRIjVu3FgxMTH629/+5rO+YHv9fvvtN4+wEmzQqYuvsrIyrwu7n/iqKQIhAKsgEAJA\\\n",
       "PbFx48aondswDN11110u25KTk9W8efNaOXfVDJ/uPaXeVAVlSWrZsmVQ53rrrbdCaqMvlZWViomJ\\\n",
       "UevWrX2WueOOO9S/f38dPnxYDodDd999t9eAMXjw4JDbEc0ZUesrAiEAq6gfU6oB8Gnr1q367rvv\\\n",
       "tG3bNpWUlKhp06bq0aOH+vXrx6LZCKuXX35ZL7/8skpKSpScnBzt5njVpEkTj21jx47VpEmTAjp+\\\n",
       "5MiRIZ3X3+L1oUpJSXEur1FaWqqvvvoq5LqqwnR8fHy4mmcJBD0AVkAgBOqp6dOn66WXXtKKFSuU\\\n",
       "nZ2t3NxcJSUl6dChQ9q8ebMSExN17bXX6oEHHvDbO4H6I9SJSMKtroZByfvyGv/3f/8XUCD88MMP\\\n",
       "a3TucIfCkpIS5eTk6MiRIz7XFuzUqZMKCwt9Duk9UUJCgpo1axa29jV0wfT8ERwB1GeMIQHqoR49\\\n",
       "eujll1/WDTfcoG3btmnPnj1auXKlvv/+e61fv15FRUX65JNP5HA41KtXL82cOTPaTUYN2Wy2gIZL\\\n",
       "Vmfjxo3OG92ioqIwtKxu8bYkQ6Cf2+WXX17j86empta4jhPdcccdPicKMk1TGzZs0O7du/Xaa68F\\\n",
       "VJ+vxewBANZFIATqob/+9a9atmyZ7rjjDo+11KTjPQHnnHOOpk6dqo0bN+rkk0+OQisRDlXPzrnP\\\n",
       "KBqKhQsXukxMk5GRoWuvvbbG9dYlW7Zs8dhWWVnp8j6S1xzO2U8dDofGjRunKVOmeOz7+eefXd7f\\\n",
       "dtttYTsvjuMZQgBWQSAE6qFgJpfIyspSz549I9gaRFI4bzTPPfdcj23vvvtu2OqvC5KSkqotE8w1\\\n",
       "l5SUqHXr1tq0aVO1ZWfPnh1wvdVp0aKF83t/0003eezv3Lmzy3vWHAw/AiEAq+AZQqCB2Ldvn/bt\\\n",
       "2yeHw+GyvVu3blFqEeoa95+NKpGYECVafF2HYRh6/fXXdeuttwZ1XNXyFp06dZLkPXg1atRIhYWF\\\n",
       "oTTXpxOX8/C2XIW7f/zjH373r1q1Sj169JDE826B4hlCAFZBIATquZUrV2rEiBHasGGD82bVMAzn\\\n",
       "TX44hhqiYbDZbF5DYbRvZk9cJkLyHrp+++03tW/fXqZp6q233tKIESO81uVvLcZbbrnF576BAwd6\\\n",
       "bKuoqPDYVvVZ+fosw8HXBDL+3HjjjV63n3nmmVq0aFFNm2RJBEIAVsGQUaCeu/HGG9WxY0ctXrxY\\\n",
       "W7Zs0datW13+C1Tx9seBsWPHRqEl/5OYmOgRAA3DUGpqqnbs2KH77rtPhmGobdu2stvtcjgcuuGG\\\n",
       "G2QYhq644gqP+gIZMurN3LlzPbZ9+eWXPstHKgwahuH1Gk5cR3DChAke+30NGSUMho4howCsgh5C\\\n",
       "oJ7bsmWLPvzwQ7Vv3z7aTUE9UBUc6sIw0YqKCp89esXFxTrppJP8Hv/RRx/JMAzFxMRI8h54A5GW\\\n",
       "luZ1+wUXXBBSfTXhK2iWlZUpLi5OhmFo3LhxHvurRgUEUldDeN7QWygON3oIAVgFPYRAPTdw4ED9\\\n",
       "+OOP0W4G6hl/N7A333yzDMNQZmZmtfX89ttvOv300zVgwACtXbs2qLARrkXS7XZ7QGHQMAwlJia6\\\n",
       "bHv11Vd9Lr8RqUXcY2JinLPHHj16VF999ZUqKyv9fnaxsbEyTdNnyKtawL5KZmYmIQUAEBB6CIF6\\\n",
       "7s0339SIESO0bt06de3a1WPx8ksvvTRKLUN9dPrpp2v16tWSpIKCAq89T9LxXqYThzFK/icwMgxD\\\n",
       "Z555pl599VXdd999XodoRpLdbvdobyBiYmLC/hzuictgpKSk6Pzzz69xnUlJSTp69KiaN2+ut956\\\n",
       "S1deeWWN67Q6eggBWAWBEKjnlixZokWLFumLL77w2MekMghWVRg8kfsEKuXl5UpISAiqXtM0tWjR\\\n",
       "InXv3r2mTQzK+vXrXdZeDFZlZaXsdnu1M30mJCSotLTU+X7AgAFauHBhyOcNRUpKis/eTgSPQAjA\\\n",
       "KhgyCtRzd911l6677jrt2bNHDofD5UUYRBWHwyGbzSbDMJxLKQTKNE2XXsJgw2C0bNq0qUZhsEpM\\\n",
       "TIz279/vt8yJYVCSFixYUOPzIrqYVAaAVRAIgXru4MGDuvfee5WdnR3tpqAOi4mJcYa6kpISPfnk\\\n",
       "k0Ed//rrr0eiWRFz7rnnqmPHjmGrr0mTJj6DtK9n/7z9QWbdunVhaxMii0AIwCoIhEA9d/nll+vb\\\n",
       "b7+NdjNQh3kLRo8++mhQdZx33nnhak7E2Ww2ffPNN0EdY5qmVq9erSlTpujTTz/Vvn37PCZw+e67\\\n",
       "7zyO87ZW4YntOHDggPN9Xl6eunTpElS7wqFr167O0NKiRYtaP399RSAEYBU8QwjUcx07dtSDDz6o\\\n",
       "77//Xnl5eR6Tytx9991RahnCITExUR06dNCqVas8vreB+vXXX71uLy4u9uj1iouL8xpyOnTo4Pz6\\\n",
       "xRdf1L333htSW8LNfdKbIUOG6LPPPguqjuTkZB07dsxvmRYtWuj111/X9u3blZSUpMzMTOdyF/5k\\\n",
       "ZWVFdZmHbdu26eeff3a+3717d9TaAgComwiEQD335ptvKjU1VQsWLPB4bskwDAJhPVdWVqZ169Y5\\\n",
       "l0A444wztGTJkrDUnZGR4TLjpSS1bt1a//3vf/0eN2bMmDoRCHfs2KGWLVvWqI5nnnmm2jAoSbt2\\\n",
       "7dI111yjI0eO1Oh8te2VV16JdhPqLSaVAWAVDBkF6rmtW7f6fG3ZsiUs53j11VfVpk0bJSYmqm/f\\\n",
       "vlq+fLnf8jNnzlSnTp2UmJiovLw8zZ4922W/aZoaN26cmjdvrqSkJA0aNMhnL1Z1qiY88fUqKysL\\\n",
       "euhXXXq5W7p0qQzDUGxsrM816QLl7Rk3b2FwwIABNTpPpIRj+ONf/vKXgMsePXq0xuerbc8++2y0\\\n",
       "m1BvNYQho9OmTauzbQNQdxAIgQZqz549YbkZnDFjhsaOHavx48dr1apVOu200zR48GDt27fPa/nF\\\n",
       "ixdr2LBhGjVqlFavXq2hQ4dq6NChLpNpPPvss3r55Zc1depULVu2TCkpKRo8eLDHTI3wzW63KyYm\\\n",
       "RoZh6LTTTgu5HsMwnMMI8/LyvJZp2rSpx7ZQ1vQLxjXXXOMxu6m72n52NpAhonUNYSB0DSEQ3nDD\\\n",
       "DdFuAoB6wDCj+XADgBq78cYbvW7ftm2bli9fXuMhbn379lXv3r2dQ88cDodatWqlu+66y2vvyjXX\\\n",
       "XKPi4mKX57jOOOMMde/eXVOnTpVpmsrNzdWf/vQn/fnPf5YkFRYWKjs7W9OmTdMf//jHgNpVVFSk\\\n",
       "SZMmVVuuvLxcEydODKjO+i41NdXj+11SUhL0MhPuDMPw6I2888479eqrr9aoXn/cfzX5uuGu7leY\\\n",
       "3W5XYmKiKisrlZqaqoMHDzqH377xxhu65ZZbAm5TqIvbR5vD4XAJsw3h1/6ECROqLfPYY4+psLBQ\\\n",
       "6enpQdWdkpKikpISPfDAAwEvsVJWVqZnnnlGycnJKi4uDup8kVb1b6chfN8BREb9+80GwMXhw4dd\\\n",
       "XgcOHNDy5cs1f/58Pf/88zWqu7y8XCtXrtSgQYOc22w2mwYNGuTzObYlS5a4lJekwYMHO8tv3bpV\\\n",
       "+fn5LmUyMjLUt2/fsD0bZ1VHjx6VYRhKT0/XmjVr1LNnzxqHQcn7jWSoz6adfvrp1bapb9++HtuC\\\n",
       "XSZDOr4kS2xsrPM5yaNHjyohIUGpqak6++yzgwqDVes41kc2m01JSUnRbka90xB6CE9U39oLoPYw\\\n",
       "qQxQz3388cdetz/11FOaNWuWbr311pDrPnDggOx2u8cah9nZ2dq4caPXY/Lz872Wz8/Pd+6v2uar\\\n",
       "jDdlZWUqKytzvi8qKgr8QizmyJEj6tGjR8TPk5SU5DIhy4ABA/TUU0/pvPPOU3l5uddj3n77bSUn\\\n",
       "J7vMWurO25IRDzzwgB555BGP7T/99JO6devmtR5fa3MWFxd7XULClzlz5tT7G+jCwkJnzyispeoP\\\n",
       "OpmZmSooKIhuYwDUSfXzz50AqjVs2DDNnz8/2s0Im4kTJyojI8P5atWqVbSbZCmxsZ5/PywpKXGZ\\\n",
       "wGf+/Pn63e9+5xLc3XXr1k3t27eXaZpau3atx/4mTZooOTk5oPNL8vn8pGmaXifNCZZhGBo8eHBI\\\n",
       "x9rt9jozTC8uLq7ODWWsD+pj76CvNr344osu/14BoAqBEGigfvzxxxr3EjVp0kQxMTHau3evy/a9\\\n",
       "e/cqJyfH6zE5OTl+y1f9N5g6JenBBx9UYWGh87Vjx46grwehC0e4cn+Wq2vXrs6bU4fDIdM0tX//\\\n",
       "/qDr9faMaLgmgAnmxvm0005zCQmxsbGy2WwyDEP9+/cPS3tqIjk5mSAQhIYwZPTEdo0cObLOthNA\\\n",
       "dDFkFKjnxo4d67Ft7969+uSTTzRkyBCX/YFMwnKi+Ph49ezZU/PmzdPQoUMlHX+Wat68ebrzzju9\\\n",
       "HtOvXz/NmzdPY8aMcW6bO3eu+vXrJ0lq27atcnJyNG/ePHXv3l3S8eGfy5Yt0+233+6zLQkJCQFP\\\n",
       "8IDIuOOOOzRlypSQj587d67PfYHcqBqG4TXQPPTQQ9q9e7cmT56smJgYnXzyyWENPkePHlVqamq1\\\n",
       "bfNn0aJFPtuPuimYoFeXgxY/dwCqQyAE6rnVq1d73d67d2/t27fPuTxEqDcsY8eO1YgRI9SrVy/1\\\n",
       "6dNHkydPVnFxsUaOHClJGj58uFq0aOHspbnnnns0YMAAvfDCCxoyZIjef/99rVixQq+//rqzHWPG\\\n",
       "jNGTTz6pDh06qG3btnr00UeVm5vrDJ2om1577bWAAmHXrl29bu/Vq1e4m+T0yiuvRGwR9rS0NL83\\\n",
       "1MFM2MLNef1R3wNhYmJitJsAoJ4gEAL1XKTXYrvmmmu0f/9+jRs3Tvn5+erevbvmzJnjnLBj+/bt\\\n",
       "LrMvnnnmmXr33Xf1yCOP6KGHHlKHDh00a9Ysl5Bw//33q7i4WLfccosKCgrUv39/zZkzJ6QbmOpu\\\n",
       "xBISEur1DXhdu9Fs166dNm/e7HN/s2bNfA77rOm1RPP7aLPZPJbeqBLs+pmEwvqhvgdCf8/yAsCJ\\\n",
       "CIQAqnXnnXf6HCLqbeKaq666SldddZXP+gzD0OOPP67HH388XE1ssKqCg81mqxMhYsuWLTIMQ3l5\\\n",
       "edq2bVtQs70WFBQoMzMzpPNW9XRHi2ma+vnnn9WlS5ew1EcorPvqayA0TdOjPXWpfQDqHiaVAeqh\\\n",
       "Cy+8UEuXLq223JEjR/TMM89EdAFx1A5fvVPRsnbt2qCX/mjSpEm1Ze6//37njbjNZlP37t3VvHlz\\\n",
       "n0tI1CZvQ2Fr0gvja+ZUoKZOnE30xGez+SMcAG/4bQTUQ1dddZWuuOIKZWRk6JJLLlGvXr2Um5ur\\\n",
       "xMREHT58WOvXr9f333+v2bNna8iQIXruueei3WSEQatWrer17KoOh0NFRUUes41WiYmJcQm+pmnq\\\n",
       "xx9/rK3mBaRFixbatWuX831Nevnsdrsuv/xyffTRR+FoGsKsvvYQupsyZUqNJoMC0PARCIF6aNSo\\\n",
       "Ubruuus0c+ZMzZgxQ6+//roKCwslHb8x6dy5swYPHqwffvhBp556apRbi3DZvHlzvV9cPCMjw2uI\\\n",
       "euutt+pcL6g3u3fvdnkfFxdXo/o+/vjjGh2PyGkogRAAqkMgBOqphIQEXXfddbruuuskSYWFhTp2\\\n",
       "7JiysrJqfJOKuqmhfF+9PT83atSoKLUmeCdOMBOO9RmvvfZaTZ8+vcb1ILwIhACsgmcIgQYiIyND\\\n",
       "OTk5DSY0wJO/HrSNGze6PDdUWFior7/+WocOHXJu8zYbZmxsrHN/qBO+hMIwDOXm5uqyyy6rczfT\\\n",
       "hmFo06ZNGjFihNf9pmmqd+/ecjgcPpfYCMa7775b4zoQfg1hYXoACASBEADqMJvNppiYGMXGxiom\\\n",
       "JsZnuVNOOcXlfXp6ugYOHOgS8hISEnTkyBHn++TkZFVUVDjfHzp0yO85wm3Pnj36z3/+U2vnC8Sx\\\n",
       "Y8fkcDjUsWNHTZs2zeczgitWrFBMTIx+/fXXWm6hb0VFRbrooou0du3aaDelQYh0ICRYAqgrCIQA\\\n",
       "UIeZpimHw1Ht0MQnnngioPpOXCPQW4+hFW5IS0pKXHpTJ06cqBYtWqi8vNzrWpgrVqyIeJtOnKgm\\\n",
       "EA6HQ8OHD1dcXJwzSGRkZGjOnDnq1q2bXnvttQi1FOHADLMA6hICIQA0AOPGjQsozJ24jp7D4VBx\\\n",
       "cbHL/srKyrC3LdwuvfRSrVq1KqQJdgoLC5WUlOSy7S9/+Yt27tzpc7h1z549Q2pnMFq2bBnQpDpV\\\n",
       "a8zFxMTonXfe8fn9Gj16tM86gu35qouvsrIyl1Dv7VVTkewhrPoDTyTaDQDB4k9UANCAGIYhu90u\\\n",
       "m8373/uOHTvm8j41NVWGYSguLk7l5eW10cQaKSoqUlpamiQ5Q0FMTExAN9JJSUk+l7yojrfFvsOt\\\n",
       "ariuYRhq3Lix5s+f73xG0TRNpaen6+jRowHVRbCoudqYVMb9OL5vAKKBHkKgnhsxYoQWLlwY7Wag\\\n",
       "DvH1HKCvYaemaYYcBuPi4lRSUqK9e/dGPDCde+65zjBYxTAMORwOZ+/KiV9XVlbqyiuvlM1mU05O\\\n",
       "jkpKSmp0/tzc3BodHyjTNHXw4EHl5eU5Q4nNZgs4DCI8QukhLCkpUUpKivPVt2/foM8JALWNQAjU\\\n",
       "c4WFhRo0aJA6dOigp59+OuhnkdAwebuxDPdzS/Hx8SovL1dSUpKaNWsmh8OhVatWKTExUQkJCerQ\\\n",
       "oYMyMjICri85OVnFxcXOQHfw4EG1bdtWKSkp+uWXX/TNN99UW8eJ1x0TE6OZM2fKbrdrz549IV3j\\\n",
       "ifz923riiSecYbS8vFw333xzjc8XCRdffHG0m1BvhDpktKSkxPlavny533MwVBRAXUAgBOq5WbNm\\\n",
       "adeuXbr99ts1Y8YMtWnTRhdddJH+/e9/u8wgCeuJj4933mj26tUr7PUfPnzYY1uPHj107NgxlZaW\\\n",
       "6pdfflFBQYGWLVtWbV233nqriouLlZyc7NzWuHFjbdmyRUePHlWHDh3C2vZQeRuKGx8fr0ceecQZ\\\n",
       "CuLi4vT666+rqKiotpvnwluv7+zZs6PQkvop1ECYnJzsfPXp0yeKVwAAgSEQAg1A06ZNNXbsWP34\\\n",
       "449atmyZ2rdvr+uvv165ubm6995769TU+Kg9FRUVstlsMgxDK1euDGvdX375pUt486dPnz4yTdPr\\\n",
       "mn2TJk2SaZqaOnVqWNsXKe7DbmNjY1VWVua1bFpamt9nD7Ozs1VRUaHS0lIlJCSEva3e6vT1bCnC\\\n",
       "o6qXu+oVyB9DACDamFQGaED27NmjuXPnau7cuYqJidHvf/97rV27Vp07d9azzz6re++9N9pNRD2x\\\n",
       "Y8cOtWzZ0mO73W4Pea3CqvXxqia9qYvPS53Ypry8PP30008eZU4c4hfINTgcDqWkpLg8w+hwOJzH\\\n",
       "xsbGqrS0VHa7PezDeisrK13qrKysrJOfe10UjUllACAa+FMhUM9VVFToww8/1MUXX6zWrVtr5syZ\\\n",
       "GjNmjHbv3q1//OMf+vrrr/XBBx/o8ccfj3ZTUYe1atVKFRUVzrDjLQxKviesCUZMTEydvBF27z3z\\\n",
       "t8B7sEsNnPhspK9ew6rZUt2XAqmJv/3tb2Gry2oiueyEr2cGeZYQQDTQQwjUc82bN5fD4dCwYcO0\\\n",
       "fPlyde/e3aPMueeeq0aNGtV621D3ZWZm6tChQ9FuRkQdOnRIWVlZzvfB3IwbhlHrN+nJycku54yJ\\\n",
       "iQlojUJv7rnnnnA1y5Ii+YcLwh+AuoIeQqCee/HFF7V79269+uqrXsOgJDVq1Ehbt26t3YahXti7\\\n",
       "d2+0mxBxOTk5Lu99/XHkwgsv9Lo92pPD+FouJBA8Mxi6SPYQAkBdwm8KoJ67/vrrlZiYGO1moJ5a\\\n",
       "v359tJsQce6BqrCw0Gu5L774wuv2/fv3e2zr37+/kpOT/Q4rDadAltxw568ntL6/EhISIh7QCIQA\\\n",
       "rIJACAAW5qtXub6YMGGCUlJSdODAAZ9lgplh1TRN3XXXXc73KSkpateunUsZwzC0aNEiHTt2TN26\\\n",
       "dZNhGCooKAi67cE499xzqy1js9kUFxenp556iuGIYUAgBGAVBEIAqMOqekQWL14csXNUN1FMixYt\\\n",
       "nDe9/p5JczgcSk1Nlc1mU3x8vNLS0pyzibq/TjvtNO3fv187d+5UTk6Ox/7nnnuu2nbbbDY99thj\\\n",
       "KikpUdOmTX3elAcbel9++WXn53706FGXfb4mZ8rMzFRSUlJQ5wmHN954w9lWu92u8vJyPfTQQ7Xe\\\n",
       "DgBA/UUgBIB6oF+/fhHr9XE4HD7XS/vwww+1e/du5/uXX35Z2dnZHuWuvPJKxcTEOGfTrKio0NGj\\\n",
       "R322+aefflKzZs3UqlUrr88x3n///frTn/7kt93e6j711FN9lq0KvieddJLfev254YYbfO4rLS2V\\\n",
       "YRg+1yWsqcOHDzu/rprs5qabborIuUAPIQDrIBACQD1SXl4ekXrPOOMMr9uvvPJKj2379u1zmfWy\\\n",
       "srJSH374YdjbNGnSJJ/7fAXN7du3+zymsrJSpmlq27ZtIbcpkDCZmJjoDAk2m002m02xsbF65JFH\\\n",
       "Qj6vdHwynKrewFBnHUXgCIQArIJACAD1SFxcXLSbIMm1HZFsk6/g4+sG3NeEMeF0/fXXB1z2xOGc\\\n",
       "Tz31lAzD0M6dOyPYOoQLgRCAVRAIAQBBczgcKi8v1549eyJ6niNHjvjcN3/+fOfXhmFo3rx5io2N\\\n",
       "/PK6//znP2t0/CmnnBKmlgTGNE394x//cD7PicAQCAFYBQvTA0A98vPPP0e7CU6GYSg/Pz+i50hP\\\n",
       "T/e5b8CAAfVyNs1Iz0jqcDiUmJioioqKiJ6noQsm6BEIAdRn9BACQD2Sl5cX7SY4xcXFVftMXUVF\\\n",
       "hex2u9d2x8bG6r///a8KCwt91tPQbrTPPPPMiA6xrZo8hzAIAAgUgRAA6onY2NiI9oh99tlnHufz\\\n",
       "ZezYsZKkrKwsn2VM01RsbKxsNpt++uknj8XFKyoq1K5dO6Wnp2vbtm3OyVK++OIL7dq1q872/oU6\\\n",
       "i+jatWu1aNGiMLfmf/773//KZuPXergwZBSAVfCbAwDqsJiYGOcNp91uj+i5LrnkEsXExKhVq1bV\\\n",
       "nu+FF17wW9f5558fUhsMw9CFF16o3Nxcl+1V6wxWvZYuXRpS/b4cPHjQWffatWv9lk1MTAzpHF27\\\n",
       "dg3pOMn3rKon6tChQ8j1wxOBEIBVEAgBoA6r7eUFHA5HWGbB/Pjjj8PQmuPsdrsOHDjgsq1fv35h\\\n",
       "q9/hcKhJkybO9926dVNqaqrXsqH2wIV6XEVFhXP5CsMwgp51FaEjEAKwCgIhACAogUyKkpycHLbz\\\n",
       "/fDDD163hysse3umr7i42GuvXKjDWENta3x8vMv7mJgYzZw502Ubw0Qjg0AIwCr4LQIA9UhaWprz\\\n",
       "Gbz27dvX+vljY2OVkZFRbblw3iD7Ol91IcvhcOjNN9+stn5f9fzyyy/VN+7/16tXL02aNMlvmZiY\\\n",
       "mIDrk6T+/ft73X711Ve7BJG6+qxlfUcgBGAVBEIAqEeKioqcX//6668BH/fLL784g2RxcXHIM11G\\\n",
       "Y/ZKX+v2+Zv0ZuPGjYqJidHNN98c8s26t/OuXr3a5X1VT+IPP/yge++9V6Zp+pxox+FwyDAMVVZW\\\n",
       "Vnvubdu2RXQCGgAAqrAOIQDUU5dffnm1ZY4dO+YxCUpycrLKy8ud7wMNTL56okzTVG5urvbu3at9\\\n",
       "+/b5nXk0FMEOiTRNU6eeeqrLNl89ab564X766Sev27t3715tj9yBAwf8fqaRXHYC4cM6hACsgh5C\\\n",
       "AKhHDMPQ6tWr1bNnz2onbklKSgpoRsxwDDncvXu37Ha71zA4adIk5811bfQwBhMgvfXCGYZRo/Ue\\\n",
       "Q12WIlQffPCBKisrVVlZqZ07d6pRo0a1ev6GiiGjAKyCHkIAqGdOP/30gModOXIk4Dq3bt2qtm3b\\\n",
       "htoknxwOh/70pz8538fHx6usrMxjspRQtGrVSjt27HDZtmzZMp/lY2NjXYZr+rqJr8lkNaZphrws\\\n",
       "RbCKi4s9Ju9p0aKFDh8+LOn486ZHjx6tlbY0RPQQArAKeggBoIEKZhKTNm3aqFmzZmGrr8oll1zi\\\n",
       "sS0hISGoOvbs2eN1+86dO2Wz2bRq1Sr96U9/UlxcnM444wyf9djt9oj26MTExNTajJ/5+fnVzuQa\\\n",
       "zB8E4IkeQgBWQSAEAEiS9u7d6/fGtmpSlPnz58vhcATUk3b//ffXuF3ui9SfyDRN9ezZU5MmTQpo\\\n",
       "spbqDBkyJOhjYmJi/K4RGAnZ2dkBlevYsWOEW9KwEQYBWAGBEADgFMjzb+eee65iYmKcQcjfDfGA\\\n",
       "AQNq1J5wBMpg/Pzzzx7bysvL1bZtWzVp0kQzZ85UZWWlysrKlJ2dXetBUJKuvPLKgMsWFhZGsCUA\\\n",
       "gIaAZwgBoIFyOBxBD2E8cOBASOf6wx/+4HOSG9M0XUJjMAHqueeeC6k9ofrtt9907NgxJSUlSfJ8\\\n",
       "Nuzqq6+u1fZ4474wvT979+6NYEsaNp4hBGAV9BACQAPl69k7b0zT1DnnnON3eKY/HTp0qLb+qleg\\\n",
       "N8/RWp4hOTm5zg4FrO2AbGU8QwjAKgiEANBA3X333dWWOfvss2UYhmw2mxYsWBDyuZ599tmQj/Ul\\\n",
       "lGcCG/Iaf+np6frzn/8ccPm0tLQItqbhIxACsAoCIQA0ULNmzfK7f8eOHfruu+9qdI64uLiwrGPo\\\n",
       "bvv27UEfs2zZMpWXl8s0TaWkpHgtk5aWpoMHDyo1NbVG7evSpYtKS0udk+vY7XaXXlDTNDV79uwa\\\n",
       "ncPdhx9+GFR5lpyoGQIhAKvgGUIAaKCqe1avTZs2Idedmpoa0WUNunXrFlT5jh07qk+fPs73R48e\\\n",
       "9bhJ37Vrl3NI7JEjR4K+iTcMQ6WlpV7XUPRW10UXXaSdO3eqZcuWQZ3HlwsuuCDg5y8DnYUUvvEM\\\n",
       "IQCroIcQABowf2sHhjo75r/+9a+IhkGHw+EyO+bKlStlmqZKS0t9HuNteKlpmho5cqQaNWokh8Ph\\\n",
       "8XxkdesuSlLjxo2dvX8Oh8NrGPSnRYsWQZX3p+r5y1deecVvubS0NO3bty9s57UqeggBWAWBEAAa\\\n",
       "sKq1Az/44IOw1Xnttdf63W+32zV16lSlp6f7vHm22WwqLy/3OHbChAkuIdY0TZ1++umSji9of+jQ\\\n",
       "Ia/n3LJli9clM9566y0dPnzY6w17dUMqCwoKdPDgwRovNu9r9tVQ3XXXXX6DSXXXFWzQqYuvsrIy\\\n",
       "jyG67i8AQGAYMgoAFnDNNdfommuuUePGjbV9+3alp6eHVM+TTz7pc19ycrKOHTsWUD2maSohISHo\\\n",
       "8zdq1MjnvsTExKCCQElJidftSUlJPveFYujQoWGrC7WHIaMArIIeQgCwkEOHDik1NTXk4aIPP/yw\\\n",
       "x7Zzzz1XhmEEHAZr4rTTTvO73zCMgEJh06ZNPbZdeOGFMk0zrGGwir/hrqibGDIKwCoIhAAAD5Mn\\\n",
       "T5bdbldBQYFuvfVWPf/8816DlmEYmj9/fsTa0blzZ+fX69ev19q1a6s9xmazedysx8fHKzMzUzEx\\\n",
       "MTIMQwcOHHApb5qmvvjii4hcg3R8uGsoy2ggegiEAKyCIaMAABeGYeiee+6RJGVkZGjq1KleyyUm\\\n",
       "Jka8LRs2bAjLzXZFRYUKCgq87rPb7TWuPxAxMTEyTdMZQFG3MWQUgFXQQwgAcBFoWPE2iQuOq6ys\\\n",
       "9BlAQx2u603Vc5Mnvvi+hAc9hACsgkAIAEAYNW3aVHFxccrMzJRhGF6HioajVzImJsbrc5vx8fEy\\\n",
       "TVP5+fk1PgcAoOEjEAIAPNTGBDF1xXPPPRfW+k58PlGS4uLiPMrUdCkLyfvaiyfKzs6WaZravn17\\\n",
       "SDO6Wh09hACsgkAIAPCQnJwc7SbUmvvvv1/NmjWT3W5XeXm5TjrppLDf5LvXtWzZshrVF8wziK1a\\\n",
       "tVJpaSnr8wWJQAjAKgiEAACv/E0ac++999ZiSyJv//79io2NVUJCgnbs2OHcHsqNfuvWrb1uNwxD\\\n",
       "n376qU477TSdccYZIbXzhx9+INTVEgIhAKsgEAIAvCorK/N6ozt79mxNnjzZY/tzzz3n7IU6evSo\\\n",
       "+vTpE5ahkfXNb7/95nPfpZdeqp9++imkek3TVK9evUJslWs99f2VkJAQ8YBGIARgFdb7TQ0gIBUV\\\n",
       "FXrggQeUl5enlJQU5ebmavjw4dq9e3e1x7766qtq06aNEhMT1bdvXy1fvtxlf2lpqUaPHq2srCyl\\\n",
       "pqbqiiuu0N69eyN1KfVa1Zp60eR+4ztkyBCPMmvWrNGf//xn5/uUlBQtW7ZMdrvd6w39jz/+WJuX\\\n",
       "UCN79uwJ+phwT+hSUVER1vpQPQIhAKsgEALwqqSkRKtWrdKjjz6qVatW6aOPPtKmTZt06aWX+j1u\\\n",
       "xowZGjt2rMaPH69Vq1bptNNO0+DBg7Vv3z5nmXvvvVeffvqpZs6cqQULFmj37t26/PLLI31J9ZLd\\\n",
       "bpfD4XAGqeo+/2g57bTTgirfrVs3maapmJiYCLUofDp37hz0MdnZ2WFtQ00/p6pgDgCAOwIhAK8y\\\n",
       "MjI0d+5cXX311TrllFN0xhln6JVXXtHKlSu1fft2n8dNmjRJN998s0aOHKnOnTtr6tSpSk5O1ltv\\\n",
       "vSVJKiws1N///ndNmjRJ5513nnr27Km3335bixcv1tKlS2vr8uqtTz75JNpNCKuDBw9GuwnVKiws\\\n",
       "jHYT9M0334R8bHp6umJjY2Wz2epFAK8r6CEEYBUEQgABKywslGEYatSokdf95eXlWrlypQYNGuTc\\\n",
       "ZrPZNGjQIC1ZskSStHLlSlVUVLiU6dSpk0466SRnGfgXzoXNwyXUdfUyMjLC3JLwqws9a4MGDZLN\\\n",
       "ZtPDDz8c1GcdExOjI0eOON/XxZ+duopACMAqCIQAAlJaWqoHHnhAw4YNU3p6utcyBw4ckN1u9xgu\\\n",
       "l52d7XymKj8/X/Hx8R6h8sQy3pSVlamoqMjlZVWGYei+++6LdjNcxMbGhnxsWVmZ1+2vvfaac6is\\\n",
       "txtub88mRkq/fv2CKh+JgGCapp5++mnFxsbKMAzdfPPN1R5DAKwZwiAAKyAQApAkTZ8+Xampqc7X\\\n",
       "d99959xXUVGhq6++WqZp6rXXXotK+yZOnKiMjAznq1WrVlFpR13x7LPP1rnhfykpKSEdFx8f73X7\\\n",
       "bbfd5vzavVds//79Xo8pLS0NqQ3VCWY4c20FhDfffLNWzmNVtdlDSLgEEE0EQgCSjk+Hv2bNGuer\\\n",
       "anr7qjC4bds2zZ0712fvoCQ1adJEMTExHjOG7t27Vzk5OZKknJwclZeXq6CgwGcZbx588EEVFhY6\\\n",
       "XyeuFWdVlZWVqqioqDOLyJeUlIQ8dLQ67jfKWVlZXsslJCRE5PyBqu0b+v79+9fq+ayktgIhIRBA\\\n",
       "tBEIAUiS0tLS1L59e+crKSnJGQZ//fVXff311z5vwqvEx8erZ8+emjdvnnObw+HQvHnznEPuevbs\\\n",
       "qbi4OJcymzZt0vbt2/0Oy0tISFB6errLC8eHahYXF8s0TW3evDnazanR0FF/3GcxPXz4cETO48/J\\\n",
       "J5/sc5/D4YjKjf3SpUvVpk0bpaenKzExUUOGDNHhw4e1cuVKgkYN1UYgzMzMDHOrASB4BEIAXlVU\\\n",
       "VOjKK6/UihUrNH36dNntduXn5ys/P1/l5eXOcgMHDtQrr7zifD927Fi98cYb+sc//qENGzbo9ttv\\\n",
       "V3FxsUaOHCnp+CQio0aN0tixY/Xtt99q5cqVGjlypPr166czzjij1q+zrjMMQzExMTr77LOrLXvy\\\n",
       "ySerT58+tdAq/7wN28zJyXHeOD/11FMu+3bu3Om1HsMwVFJSottuu81jMfc2bdr4PP+7774bfKMD\\\n",
       "sHXrVq/PKXbu3LnWh+8mJCRo/fr1uvPOO7Vt2zYdOXJEZWVlmj17tho3bhyWBewRvJKSEqWkpDhf\\\n",
       "ffv29Vu+aqREXZi4CIB1EQgBeLVr1y795z//0c6dO9W9e3c1b97c+Vq8eLGz3ObNm3XgwAHn+2uu\\\n",
       "uUbPP/+8xo0bp+7du2vNmjWaM2eOy0QzL774oi6++GJdccUVOvvss5WTk6OPPvqoVq+vPnE4HPru\\\n",
       "u+9kGIY6duzot+yiRYtqqVW+uT9LaJqmyzDiRx55RIZhqEmTJmratKnf50FTUlL0f//3fx7bT5w5\\\n",
       "092wYcN00003Od8//PDDHpPPhLrQu81mU+vWrfXee+8pPT1dhmFow4YNIdXVvHlzZ3s2btwY8HGm\\\n",
       "aaq0tFSnnnqqJk+eHNK5Ub1QewhLSkqcr+XLl/utX5K6du0a8WsBAH8Mkz9LAaiHioqKNGnSpICG\\\n",
       "ao0fP74WWhQZ3q7v4MGDaty4sdfyR44cifhw2mbNmmnGjBkaNGiQz2cGT/zVUlhY6HOpkpoIx6+v\\\n",
       "2NjYiD336M/JJ5/sMcR3/Pjxevzxx30eYxiG11lDW7du7XdtUHcN4df+hAkTqi3z2GOPqbCwMOh/\\\n",
       "DykpKSopKdEnn3wS8ERJxcXFuuyyyyTJ5Znerl27atmyZR7lT/x3XfX9qNrWEL4/AOoXeggBoJ7x\\\n",
       "9yxnpCcZcTgc2rt3r8455xxVVlYGFPRCnX20NlRWVkblvN6e96wu5PhaQqIuPDvaEIXSQ5icnKzi\\\n",
       "4mLny1sY9HWeE98/8cQTEbsuAHBHIASABmTt2rURqzsxMdGjxzKQyV0iNdEMjuPzjYxITiqTlpbm\\\n",
       "d/+jjz5ak6YDQFD4LQIAdViww8eisRB5IG2sy8Pg6lLbQm1LXbqGhiKYoBdsICwqKvJZB99LALWN\\\n",
       "HkIAAAAAsCh6CAEAANxEsofQG3oGAUQLgRAAAMBNbQdCAIgWAiEAAIAbAiEAqyAQAgAAuCEQArAK\\\n",
       "AiEAAIAbAiEAq2CWUQAAAACwKHoIAQAA3NBDCMAqCIQAAABuCIQArIJACAAA4IZACMAqCIQAAABu\\\n",
       "CIQArIJACAAA4AVBD4AVMMsoAAAAAFgUPYQAAABuGDIKwCoIhAAAAG4IhACsgkAIAADghkAIwCoI\\\n",
       "hAAAAG4IhACsgkAIAADghkAIwCoIhAAAAG4IhACsgmUnAAAAAMCi6CEEAABwQw8hAKsgEAIAALgh\\\n",
       "EAKwCgIhAACAGwIhAKsgEAIAALghEAKwCgIhAACAGwIhAKtgllEAAAAAsCh6CAEAANzQQwjAKgiE\\\n",
       "AAAAbgiEAKyCQAgAAOCGQAjAKgiEAAAAbgiEAKyCQAgAAOCGQAjAKphlFAAAAAAsih5CAAAAN/QQ\\\n",
       "ArAKAiEAAIAXBD0AVkAgBAAAcEMPIQCrIBACAAC4IRACsAoCIQAAgBsCIQCrIBACAAC4IRACsAqW\\\n",
       "nQAAAAAAi6KHEAAAwA09hACsgkAIAADghkAIwCoIhAAAAG4IhACsgkAIAADghkAIwCoIhAAAAG4I\\\n",
       "hACsgllGAQAAAMCi6CEEAABwE8keQl/lTdMMqh4ACAd6CAEAANxUBcJAX+HQrFmzsNQDAMGghxAA\\\n",
       "AMBNJHsI3XsCq47fv39/UPUAQDgQCAE0eBMmTIh2EwDUM6EEwpKSEqWkpDi3d+3aVcuWLYtI+wAg\\\n",
       "XAiEAAAAbkLtISwpKXF+vXz58mqPnTZtmvNrniEEEA0EQgAAgDBJTk52ft21a9dqy48cOTKSzQGA\\\n",
       "ahEIAQAA3ITSQ5icnKzi4uKgzlGF3kEA0cIsowACctttt8kwDE2ePLnasq+++qratGmjxMRE9e3b\\\n",
       "12PYVGlpqUaPHq2srCylpqbqiiuu0N69eyPUcgAIXiRnGV2zZg1hEECdQSAEUK2PP/5YS5cuVW5u\\\n",
       "brVlZ8yYobFjx2r8+PFatWqVTjvtNA0ePFj79u1zlrn33nv16aefaubMmVqwYIF2796tyy+/PJKX\\\n",
       "AABBiWQg7NGjh9dztWvXLpyXAAABIRAC8GvXrl266667NH36dMXFxVVbftKkSbr55ps1cuRIde7c\\\n",
       "WVOnTlVycrLeeustSVJhYaH+/ve/a9KkSTrvvPPUs2dPvf3221q8eLGWLl0a6csBgIDV5hqEkrRl\\\n",
       "y5aw1QUAgSIQAvDJ4XDo+uuv13333acuXbpUW768vFwrV67UoEGDnNtsNpsGDRqkJUuWSJJWrlyp\\\n",
       "iooKlzKdOnXSSSed5CwDANEWyR5C0zR9vgCgtjGpDACfnnnmGcXGxuruu+8OqPyBAwdkt9uVnZ3t\\\n",
       "sj07O1sbN26UJOXn5ys+Pl6NGjXyKJOfn++z7rKyMpWVlTnfFxUVBXgVAAAA8IUeQgCSpOnTpys1\\\n",
       "NdX5WrBggV566SVNmzYtrEOiQjVx4kRlZGQ4X61atYp2kwA0YJHsIQSAuoRACECSdOmll2rNmjXO\\\n",
       "1+LFi7Vv3z6ddNJJio2NVWxsrLZt26Y//elPatOmjdc6mjRpopiYGI8ZQ/fu3aucnBxJUk5OjsrL\\\n",
       "y1VQUOCzjDcPPvigCgsLna8dO3bU6HoBwB8CIQCrYMgoAElSWlqa0tLSnO9vueUWXXLJJS5lBg8e\\\n",
       "rOuvv97nQsrx8fHq2bOn5s2bp6FDh0o6/hzivHnzdOedd0qSevbsqbi4OM2bN09XXHGFJGnTpk3a\\\n",
       "vn27+vXr57N9CQkJSkhIqMklAkDAQlmHEADqIwIhAK+ysrKUlZXlsi0uLk45OTk65ZRTnNsGDhyo\\\n",
       "P/zhD87AN3bsWI0YMUK9evVSnz59NHnyZBUXFztDZEZGhkaNGqWxY8eqcePGSk9P11133aV+/frp\\\n",
       "jDPOqL0LBAA/CIQArIJACKBGNm/erAMHDjjfX3PNNdq/f7/GjRun/Px8de/eXXPmzHGZaObFF1+U\\\n",
       "zWbTFVdcobKyMg0ePFhTpkyJRvMBwCsCIQCrMEzmOAZQDxUVFWnSpEnciAHw6rHHHlNhYaHS09OD\\\n",
       "Oi4lJUUlJSXavXt3wMcWFRUpNzdXycnJKi4uDqW5ABA1TCoDAAAAABbFkFEAAAA3DBkFYBUEQgAA\\\n",
       "ADcEQgBWQSAEAABwQyAEYBUEQgAAADcEQgBWQSAEAABwQyAEYBXMMgoAAAAAFkUPIQAAgBt6CAFY\\\n",
       "BYEQAADADYEQgFUQCAEAANwQCAFYBYEQAADADYEQgFUQCAEAANwQCAFYBbOMAgAAAIBF0UMIoF4y\\\n",
       "TTPaTQBQx9Xk/xNHjhwJuOfvyJEjIZ8HAKLNMLmrAlAP7dy5U61atYp2MwDUYTt27FDLli2DOiYv\\\n",
       "L0/r1q0L6Xxdu3bV2rVrQzoWAKKFQAigXnI4HNq9e7fS0tIs/fxOUVGRWrVqpR07dig9PT3azYka\\\n",
       "Pofj+ByOM01TR44cUW5urmy24J+OycvL05YtW4I65uSTTyYMAqiXGDIKoF6y2WxB/+W/IUtPT7d0\\\n",
       "AKjC53Acn4OUkZER8rEEOwBWwqQyAAAAAGBRBEIAAAAAsCgCIQDUYwkJCRo/frwSEhKi3ZSo4nM4\\\n",
       "js8BABAsJpUBAAAAAIuihxAAAAAALIpACAAAAAAWRSAEAAAAAIsiEAJAHVJRUaEHHnhAeXl5SklJ\\\n",
       "UW5uroYPH67du3dXe+yrr76qNm3aKDExUX379tXy5ctd9peWlmr06NHKyspSamqqrrjiCu3duzdS\\\n",
       "l1Ij1V2Lu5kzZ6pTp05KTExUXl6eZs+e7bLfNE2NGzdOzZs3V1JSkgYNGqRff/01kpdQYxMnTlTv\\\n",
       "3r2VlpamZs2aaejQodq0aVO1xzXEzwIAEDkEQgCoQ0pKSrRq1So9+uijWrVqlT766CNt2rRJl156\\\n",
       "qd/jZsyYobFjx2r8+PFatWqVTjvtNA0ePFj79u1zlrn33nv16aefaubMmVqwYIF2796tyy+/PNKX\\\n",
       "FLRAruVEixcv1rBhwzRq1CitXr1aQ4cO1dChQ7Vu3TpnmWeffVYvv/yypk6dqmXLliklJUWDBw9W\\\n",
       "aWlpbV1W0BYsWKDRo0dr6dKlmjt3rioqKnTBBReouLjY5zEN9bMAAESQCQCo05YvX25KMrdt2+az\\\n",
       "TJ8+fczRo0c739vtdjM3N9ecOHGiaZqmWVBQYMbFxZkzZ850ltmwYYMpyVyyZEnkGh+C6q7F3dVX\\\n",
       "X20OGTLEZVvfvn3NW2+91TRN03Q4HGZOTo753HPPOfcXFBSYCQkJ5nvvvReBK4iMffv2mZLMBQsW\\\n",
       "+Cxjlc8CABA+9BACQB1XWFgowzDUqFEjr/vLy8u1cuVKDRo0yLnNZrNp0KBBWrJkiSRp5cqVqqio\\\n",
       "cCnTqVMnnXTSSc4ydUEg1+JuyZIlLuUlafDgwc7yW7duVX5+vkuZjIwM9e3bt05de3UKCwslSY0b\\\n",
       "N/ZZxiqfBQAgfAiEAFCHlZaW6oEHHtCwYcOUnp7utcyBAwdkt9uVnZ3tsj07O1v5+fmSpPz8fMXH\\\n",
       "x3uEyhPL1AWBXIu7/Pz8aq+9alugddY1DodDY8aM0e9+9zt17drVZzkrfBYAgPAiEAJAFE2fPl2p\\\n",
       "qanO13fffefcV1FRoauvvlqmaeq1116LYisRbaNHj9a6dev0/vvvR7spAIAGJjbaDQAAK7v00kvV\\\n",
       "t29f5/sWLVpI+l8Y3LZtm7755hufvYOS1KRJE8XExHjMGLp3717l5ORIknJyclReXq6CggKXXsIT\\\n",
       "y9QFgVyLu5ycnGqvvWpb8+bNXcp07949jK2PjDvvvFOfffaZFi5cqJYtW/ot29A/CwBA+NFDCABR\\\n",
       "lJaWpvbt2ztfSUlJzjD466+/6uuvv1ZWVpbfOuLj49WzZ0/NmzfPuc3hcGjevHnq16+fJKlnz56K\\\n",
       "i4tzKbNp0yZt377dWaYuCORa3PXr18+lvCTNnTvXWb5t27bKyclxKVNUVKRly5bVqWt3Z5qm7rzz\\\n",
       "Tn388cf65ptv1LZt22qPaaifBQAggqI9qw0A4H/Ky8vNSy+91GzZsqW5Zs0ac8+ePc5XWVmZs9x5\\\n",
       "551n/u1vf3O+f//9982EhARz2rRp5vr1681bbrnFbNSokZmfn+8sc9ttt5knnXSS+c0335grVqww\\\n",
       "+/XrZ/br169Wry8Q1V3L9ddfb/7lL39xll+0aJEZGxtrPv/88+aGDRvM8ePHm3FxcebatWudZf76\\\n",
       "17+ajRo1Mj/55BPzp59+Mi+77DKzbdu25rFjx2r9+gJ1++23mxkZGeb8+fNdfg5KSkqcZazyWQAA\\\n",
       "IodACAB1yNatW01JXl/ffvuts1zr1q3N8ePHuxz7t7/9zTzppJPM+Ph4s0+fPubSpUtd9h87dsy8\\\n",
       "4447zMzMTDM5Odn8wx/+YO7Zs6cWrip4/q5lwIAB5ogRI1zKf/DBB2bHjh3N+Ph4s0uXLubnn3/u\\\n",
       "st/hcJiPPvqomZ2dbSYkJJgDBw40N23aVBuXEjJfPwdvv/22s4xVPgsAQOQYpmma0embBAAAAABE\\\n",
       "E88QAgAAAIBFEQgBAAAAwKIIhAAAAABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAsikAIAAAAABZF\\\n",
       "IAQAAAAAiyIQAgDqhb///e+64IILIn6eOXPmqHv37nI4HBE/FwAA0UYgBADUeaWlpXr00Uc1fvz4\\\n",
       "iJ/rwgsvVFxcnKZPnx7xcwEAEG0EQgBAnffvf/9b6enp+t3vflcr57vhhhv08ssv18q5AACIJgIh\\\n",
       "AKDW7N+/Xzk5OXr66aed2xYvXqz4+HjNmzfP53Hvv/++LrnkEpdt55xzjsaMGeOybejQobrhhhuc\\\n",
       "79u0aaMnn3xSw4cPV2pqqlq3bq3//Oc/2r9/vy677DKlpqaqW7duWrFihUs9l1xyiVasWKHNmzeH\\\n",
       "frEAANQDBEIAQK1p2rSp3nrrLT322GNasWKFjhw5ouuvv1533nmnBg4c6PO477//Xr169QrpnC++\\\n",
       "+KJ+97vfafXq1RoyZIiuv/56DR8+XNddd51WrVqldu3aafjw4TJN03nMSSedpOzsbH333XchnRMA\\\n",
       "gPqCQAgAqFW///3vdfPNN+vaa6/VbbfdppSUFE2cONFn+YKCAhUWFio3Nzfk8916663q0KGDxo0b\\\n",
       "p6KiIvXu3VtXXXWVOnbsqAceeEAbNmzQ3r17XY7Lzc3Vtm3bQjonAAD1BYEQAFDrnn/+eVVWVmrm\\\n",
       "zJmaPn26EhISfJY9duyYJCkxMTGkc3Xr1s35dXZ2tiQpLy/PY9u+fftcjktKSlJJSUlI5wQAoL4g\\\n",
       "EAIAat3mzZu1e/duORwO/fbbb37LZmVlyTAMHT58uNp67Xa7x7a4uDjn14Zh+NzmvszEoUOH1LRp\\\n",
       "02rPCQBAfUYgBADUqvLycl133XW65ppr9MQTT+imm27y6J07UXx8vDp37qz169d77HMf5rlly5aw\\\n",
       "tLG0tFSbN29Wjx49wlIfAAB1FYEQAFCrHn74YRUWFurll1/WAw88oI4dO+rGG2/0e8zgwYP1/fff\\\n",
       "e2z/5JNP9NFHH2nz5s166qmntH79em3btk27du2qURuXLl2qhIQE9evXr0b1AABQ1xEIAQC1Zv78\\\n",
       "+Zo8ebLeeecdpaeny2az6Z133tF3332n1157zedxo0aN0uzZs1VYWOiyfciQIXr22WfVuXNnLVy4\\\n",
       "UFOmTNHy5cv1zjvv1Kid7733nq699lolJyfXqB4AAOo6wzxxnm0AAOqoq666SqeffroefPBBScfX\\\n",
       "IezevbsmT54c1vMcOHBAp5xyilasWKG2bduGtW4AAOoaeggBAPXCc889p9TU1Iif57ffftOUKVMI\\\n",
       "gwAAS6CHEABQL0WqhxAAACshEAIAAACARTFkFAAAAAAsikAIAAAAABZFIAQAAAAAiyIQAgAAAIBF\\\n",
       "EQgBAAAAwKIIhAAAAABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAsikAIAAAAABZFIAQAAAAAiyIQ\\\n",
       "AgAAAIBFEQgBAAAAwKIIhAAAAABgUf8fM8D/ciMfQv0AAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[47] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAZ1RJREFUeJzt3Xd4VFXi//HPnZRJJUCAhEhVRKR3FlfFlazoooAFlVVRRFHE\\\n",
       "guyuZVdpurI2LKuIHVdREQusC7ICIhYQpFhBFpEOoZNAejL394e/zJfpJTOZJPf9ep55zJx77rnn\\\n",
       "ToK5n5x7zzFM0zQFAAAAALAcW6w7AAAAAACIDQIhAAAAAFgUgRAAAAAALIpACAAAAAAWRSAEAAAA\\\n",
       "AIsiEAIAAACARREIAQAAAMCiCIQAAAAAYFEEQgAAAACwKAIhAAAAAFgUgRAAAAAALIpACAAAAAAW\\\n",
       "RSAEAAAAAIsiEAIAAACARREIAQBh+fTTT2UYhj799NNYdwURtnr1aiUmJmr79u01fuxDhw4pNTVV\\\n",
       "CxcurPFjA4AVEQgBAH7NmDFDs2bNinU3wvLmm2/qySefjHU3JEkOh0OPPPKI2rZtq6SkJHXt2lVv\\\n",
       "vfVW0PsfPXpUY8aMUdOmTZWamqrf/e53WrdunUe9OXPm6Oqrr9app54qwzB0zjnnhNzXv/3tbxox\\\n",
       "YoRat24d8r7VlZmZqRtuuEH3339/jR8bAKzIME3TjHUnAAC1V+fOndWkSROPkUCHw6GysjIlJibK\\\n",
       "Zqudf1+88MIL9cMPP2jbtm2x7oruvfde/eMf/9CNN96oPn36aP78+VqwYIHeeustXXnllX73dTgc\\\n",
       "Ouuss/Ttt9/qL3/5i5o0aaIZM2Zo586dWrt2rU499VRn3XPOOUdr165Vnz599M0336hr164hjeJ+\\\n",
       "88036tGjh1asWKH+/fuHe7rVsnHjRnXs2FFLly7VueeeG5M+AIBVEAgBIAiFhYVKTU2NdTdiwlcg\\\n",
       "rAtqSyDcvXu32rZtqzFjxuiZZ56RJJmmqQEDBmjr1q3atm2b4uLifO7/zjvv6IorrtDcuXN12WWX\\\n",
       "SZIOHDig9u3b64ILLtCbb77prLtz506ddNJJstlsYX3v7rjjDs2bN0/btm2TYRjhnXAEdOnSRT16\\\n",
       "9NC//vWvmPUBAKygdv5JFwCiaPfu3Ro9erRycnJkt9vVtm1bjR07VmVlZZKkWbNmyTAMLV++XLfc\\\n",
       "couaNWumFi1aOPefMWOGOnXqJLvdrpycHI0bN05Hjx51OcbmzZt16aWXKjs7W0lJSWrRooWuvPJK\\\n",
       "5efnO+ssXrxYZ555pho2bKi0tDSddtpp+utf/xqw/8HsV1paqkmTJqldu3ay2+1q2bKl7rrrLpWW\\\n",
       "lnq098Ybb6hv375KSUlRo0aNdPbZZ+vjjz+WJLVp00Y//vijli9fLsMwXG5B9PUM4dy5c9WrVy8l\\\n",
       "JyerSZMmuvrqq7V7926XOtddd53S0tK0e/duDRs2TGlpaWratKn+/Oc/q7KyMuBnMH/+fA0ePNj5\\\n",
       "PTzllFP0wAMPuOx7zjnnaMGCBdq+fbuz723atPHZ5nXXXees5/6aPHlywD4F6m95ebluueUWZ5lh\\\n",
       "GBo7dqx27dqllStX+t3/3XffVVZWli655BJnWdOmTXX55Zdr/vz5Lt/Xli1bVmvEdt68eTr33HM9\\\n",
       "wqCvz6FNmza67rrrnO+r/v188cUXuv3229W0aVM1bNhQN910k8rKynT06FGNHDlSjRo1UqNGjXTX\\\n",
       "XXfJ29+mf//73+vDDz/0ug0AEDnxse4AANSkPXv2qG/fvs7nsTp06KDdu3fr3XffVVFRkRITE511\\\n",
       "b7nlFjVt2lQTJ05UYWGhJGny5MmaMmWKcnNzNXbsWG3atEnPPfecvv76a3355ZdKSEhQWVmZBg0a\\\n",
       "pNLSUt12223Kzs7W7t279Z///EdHjx5VRkaGfvzxR1144YXq2rWrpk6dKrvdrp9//llffvml3/4H\\\n",
       "s5/D4dCQIUP0xRdfaMyYMTr99NP1/fff64knntD//vc/zZs3z1l3ypQpmjx5ss444wxNnTpViYmJ\\\n",
       "WrVqlT755BOdd955evLJJ3XbbbcpLS1Nf/vb3yRJWVlZPvs3a9YsjRo1Sn369NG0adO0b98+PfXU\\\n",
       "U/ryyy+1fv16NWzY0Fm3srJSgwYNUr9+/fTYY49pyZIlevzxx3XKKado7Nixfj+HWbNmKS0tTRMm\\\n",
       "TFBaWpo++eQTTZw4UQUFBXr00Ucl/focXH5+vnbt2qUnnnhCkpSWluazzZtuukm5ubkuZYsWLdLs\\\n",
       "2bPVrFkzZ9nBgwf99q1Kenq67Ha7JGn9+vVKTU3V6aef7lKnb9++zu1nnnmmz7bWr1+vnj17egS9\\\n",
       "vn376oUXXtD//vc/denSJah++bN7927t2LFDPXv2rHZbVT/7U6ZM0VdffaUXXnhBDRs21IoVK9Sq\\\n",
       "VSs99NBDWrhwoR599FF17txZI0eOdNm/V69eeuKJJ/Tjjz+qc+fO1e4PAMAHEwAsZOTIkabNZjO/\\\n",
       "/vprj20Oh8M0TdN89dVXTUnmmWeeaVZUVDi379+/30xMTDTPO+88s7Ky0ln+zDPPmJLMV155xTRN\\\n",
       "01y/fr0pyZw7d67PfjzxxBOmJPPAgQMh9T+Y/V5//XXTZrOZn3/+uUv5zJkzTUnml19+aZqmaW7e\\\n",
       "vNm02WzmxRdf7HI+pvl/n4VpmmanTp3MAQMGeBxn2bJlpiRz2bJlpmmaZllZmdmsWTOzc+fOZnFx\\\n",
       "sbPef/7zH1OSOXHiRGfZtddea0oyp06d6tJmjx49zF69evn/EEzTLCoq8ii76aabzJSUFLOkpMRZ\\\n",
       "NnjwYLN169YB2/Nm8+bNZkZGhvn73//e5edAUlCvV1991aUfJ598sscxCgsLTUnmPffc47cvqamp\\\n",
       "5vXXX+9RvmDBAlOSuWjRIq/7+fre+bJkyRJTkvnhhx96bJNkTpo0yaO8devW5rXXXut8X/XvZ9Cg\\\n",
       "QS4/R/379zcNwzBvvvlmZ1lFRYXZokULr31csWKFKcmcM2dO0P0HAISOW0YBWIbD4dC8efN00UUX\\\n",
       "qXfv3h7b3W+Ru/HGG12e61qyZInKyso0fvx4l5GaG2+8UQ0aNNCCBQskSRkZGZKk//73vyoqKvLa\\\n",
       "l6qRsvnz58vhcAR9DsHsN3fuXJ1++unq0KGDDh486HxVTc6xbNkySb/eGuhwODRx4kSPkadwnh1b\\\n",
       "s2aN9u/fr1tuuUVJSUnO8sGDB6tDhw7Oz+dEN998s8v7s846S7/88kvAYyUnJzu/PnbsmA4ePKiz\\\n",
       "zjpLRUVF+umnn0Luu7vCwkJdfPHFatSokd566y2Xn4PFixcH9Ro0aJBzn+LiYudo4YmqPqfi4mK/\\\n",
       "/anu/sE6dOiQJKlRo0bVbmv06NEuP0f9+vWTaZoaPXq0sywuLk69e/f2+j2v6kOwI7IAgPBwyygA\\\n",
       "yzhw4IAKCgqCvv2sbdu2Lu+r1mQ77bTTXMoTExN18sknO7e3bdtWEyZM0PTp0zV79mydddZZGjJk\\\n",
       "iK6++mpnWLziiiv00ksv6YYbbtA999yjgQMH6pJLLtFll13m9/mvYPbbvHmzNm7cqKZNm3ptY//+\\\n",
       "/ZKkLVu2yGazqWPHjkF9HoH4+nwkqUOHDvriiy9cypKSkjz62KhRIx05ciTgsX788Ufdd999+uST\\\n",
       "T1RQUOCy7cTnNMN14403asuWLVqxYoUyMzNdtrnfVhqM5ORkr89vlpSUOLdHc/9QmRF4bq9Vq1Yu\\\n",
       "76t+9lu2bOlR7u17XtWHWE5sAwBWQCAEAB+qc5H9+OOP67rrrtP8+fP18ccf6/bbb9e0adP01Vdf\\\n",
       "qUWLFkpOTtZnn32mZcuWacGCBVq0aJHmzJmjc889Vx9//LHPGSeD2c/hcKhLly6aPn261zbcL8hj\\\n",
       "xd+smv4cPXpUAwYMUIMGDTR16lSdcsopSkpK0rp163T33XeHNOLqzVNPPaW33npLb7zxhrp37+6x\\\n",
       "PS8vL6h2MjIynD9DzZs317Jly2SapkvA2bt3ryQpJyfHb1vNmzd31j1RsPsHqyr8BhPKq/gKj76+\\\n",
       "v97KvbVR1YcmTZoE3RcAQOi4ZRSAZTRt2lQNGjTQDz/8ENb+VYt0b9q0yaW8rKxMW7du9VjEu0uX\\\n",
       "Lrrvvvv02Wef6fPPP9fu3bs1c+ZM53abzaaBAwdq+vTp2rBhg/7+97/rk08+cd7S6Uug/U455RQd\\\n",
       "PnxYAwcOVG5urseragTvlFNOkcPh0IYNG/weL9gRGl+fT1VZpBY5//TTT3Xo0CHNmjVLd9xxhy68\\\n",
       "8ELl5uZ6vc0x1NGlzz//XH/+8581fvx4XXXVVV7rNG/ePKjXnDlznPt0795dRUVF2rhxo0tbq1at\\\n",
       "cm73p3v37lq3bp1H2F21apVSUlLUvn37kM7Tlw4dOkiStm7d6nX7sWPHPMqqRpwjraoP7hPxAAAi\\\n",
       "i0AIwDJsNpuGDRumDz/8UGvWrPHYHug2udzcXCUmJurpp592qfvyyy8rPz9fgwcPliQVFBSooqLC\\\n",
       "Zd8uXbrIZrM5b/s7fPiwR/tVocDbrYFVgtnv8ssv1+7du/Xiiy961C0uLnbOmDps2DDZbDZNnTrV\\\n",
       "I2iceH6pqakey2p407t3bzVr1kwzZ850OYePPvpIGzdudH4+1VU1wnRiH8vKyjRjxgyPuqmpqUHf\\\n",
       "Qrp3715dfvnlOvPMM50zlXoTzjOEQ4cOVUJCgksfTdPUzJkzddJJJ+mMM85w6cdPP/2k8vJyZ9ll\\\n",
       "l12mffv26f3333eWHTx4UHPnztVFF13k9fnCcJx00klq2bKl138fkjyWGPnoo49UUlISlaUh1q5d\\\n",
       "q4yMDHXq1CnibQMA/g+3jAKwlIceekgff/yxBgwY4FySYe/evZo7d66++OILl2UR3DVt2lT33nuv\\\n",
       "pkyZovPPP19DhgzRpk2bNGPGDPXp00dXX321JOmTTz7RrbfequHDh6t9+/aqqKjQ66+/rri4OF16\\\n",
       "6aWSpKlTp+qzzz7T4MGD1bp1a+3fv18zZsxQixYt/C4/EMx+11xzjd555x3dfPPNWrZsmX7729+q\\\n",
       "srJSP/30k9555x3997//Ve/evdWuXTv97W9/0wMPPKCzzjpLl1xyiex2u77++mvl5ORo2rRpkn6d\\\n",
       "/v+5557Tgw8+qHbt2qlZs2bOCWpOlJCQoIcfflijRo3SgAEDNGLECOeyE23atNGdd94Z7rfNxRln\\\n",
       "nKFGjRrp2muv1e233y7DMPT66697DSW9evXSnDlzNGHCBPXp00dpaWm66KKLvLZ7++2368CBA7rr\\\n",
       "rrv09ttvu2zr2rWrunbtKim8ZwhbtGih8ePH69FHH1V5ebn69OmjefPm6fPPP9fs2bNdbqO89957\\\n",
       "9dprr2nr1q3OdRMvu+wy/eY3v9GoUaO0YcMGNWnSRDNmzFBlZaWmTJnicqzPPvtMn332maRfn5st\\\n",
       "LCzUgw8+KEk6++yzdfbZZ/vt69ChQ/XBBx943N4qSRs3btQf/vAHDRkyRHv27NFTTz2ljIwMrVix\\\n",
       "Qm+99ZZGjBgR8mfjy+LFi3XRRRfxDCEARFsspjYFgFjavn27OXLkSLNp06am3W43Tz75ZHPcuHFm\\\n",
       "aWmpaZr/N22+t6UpTPPXZSY6dOhgJiQkmFlZWebYsWPNI0eOOLf/8ssv5vXXX2+ecsopZlJSktm4\\\n",
       "cWPzd7/7nblkyRJnnaVLl5pDhw41c3JyzMTERDMnJ8ccMWKE+b///c9v34Pdr6yszHz44YfNTp06\\\n",
       "mXa73WzUqJHZq1cvc8qUKWZ+fr5L3VdeecXs0aOHs96AAQPMxYsXO7fn5eWZgwcPNtPT001JziUC\\\n",
       "3JedqDJnzhxne40bNzavuuoqc9euXS51rr32WjM1NdXj/CZNmmQG86vpyy+/NH/zm9+YycnJZk5O\\\n",
       "jnnXXXeZ//3vfz36c/z4cfOPf/yj2bBhQ1OS3yUoBgwY4HMJCW/LLYSqsrLSfOihh8zWrVubiYmJ\\\n",
       "ZqdOncw33njDo17Vkhxbt251KT98+LA5evRoMzMz00xJSTEHDBjg9We06jMM9zzWrVtnSvJYtkSS\\\n",
       "OWHCBHP48OFmcnKy2bx5c/OZZ54xZ86caaakpJg33HCDaZq+//1U9ct9yRRvPwsbN240Jbn8mwEA\\\n",
       "RIdhmlG4zwMAANRZAwcOVE5Ojl5//XVnmWEYmjRpkiZPnhz1448fP16fffaZ1q5dywghAEQZzxAC\\\n",
       "AAAXDz30kObMmeNcSqQmHTp0SC+99JIefPBBwiAA1ACeIQQAAC769eunsrKymBw7MzNTx48fj8mx\\\n",
       "AcCKGCEEAAAAAItihBAAAATElAMAUD8xQggAAAAAFkUgBAAAAACL4pZRAHWSw+HQnj17lJ6ezkyE\\\n",
       "AFyYpqljx44pJydHNlvof/vu1KmTtm7dGtI+bdu21Y8//hjysQAg1liHEECdtGvXLr300kux7gaA\\\n",
       "WmrKlCnauXOnWrRoEdJ+nTp10oYNG8I6ZseOHQmFAOocRggB1Enp6emSxOggAJ+q/j8RilBHBsPd\\\n",
       "19v/u6r+Rn/ZZZfpvffe87off8cHEGkEQgB1EkEQQCDV/f9EsPtHOqR9+OGHEW0PAPwhEAIAALgx\\\n",
       "DCOkQBlqKDyxvvtxSktLvfan6r+MEgKIJGYZBQAAcFMVCIN9SVJxcbFSUlKcrz59+kS8X8nJyRFv\\\n",
       "E4C1MUIIAADgJtQRwirFxcXOr9esWRORvnTq1Mn5dVFRUUTaBIAqBEIAAAA34QbCE0fwTgxy4brs\\\n",
       "ssucs54yOgggGgiEAAAAbsIJhMnJyREdwXOfbZTRQQDRwDOEAAAAtYx7GGQiGQDRQiAEAABwE86k\\\n",
       "MqFo2LChx75V772tQ1i1LTc3t9rnBgAn4pZRAAAAN+EGvWDl5+f73OZrUXpJWrp0aTS6A8DCCIQA\\\n",
       "AABuoh0IuQUUQG1BIAQAAHAT7UAIALUFgRAAAMANgRCAVTCpDAAAAABYFCOEAAAAbhghBGAVjBAC\\\n",
       "CNo//vEPGYah8ePH+603d+5cdejQQUlJSerSpYsWLlzost00TU2cOFHNmzdXcnKycnNztXnz5ij2\\\n",
       "HABCE+1lJwCgtiAQAgjK119/reeff15du3b1W2/FihUaMWKERo8erfXr12vYsGEaNmyYfvjhB2ed\\\n",
       "Rx55RE8//bRmzpypVatWKTU1VYMGDVJJSUm0TwMAgkIgBGAVBEIAAR0/flxXXXWVXnzxRTVq1Mhv\\\n",
       "3aeeekrnn3++/vKXv+j000/XAw88oJ49e+qZZ56R9Ovo4JNPPqn77rtPQ4cOVdeuXfWvf/1Le/bs\\\n",
       "0bx582rgbAAgMAIhAKsgEAIIaNy4cRo8eLByc3MD1l25cqVHvUGDBmnlypWSpK1btyovL8+lTkZG\\\n",
       "hvr16+es401paakKCgpcXgAQLQRCAFZBIATg19tvv61169Zp2rRpQdXPy8tTVlaWS1lWVpby8vKc\\\n",
       "26vKfNXxZtq0acrIyHC+WrZsGcppAAAAwAsCIQCfdu7cqTvuuEOzZ89WUlJSTPty7733Kj8/3/na\\\n",
       "uXNnTPsDoH5jhBCAVbDsBACf1q5dq/3796tnz57OssrKSn322Wd65plnVFpaqri4OJd9srOztW/f\\\n",
       "Ppeyffv2KTs727m9qqx58+Yudbp37+6zL3a7XXa7vbqnBABBIegBsApGCAH4NHDgQH3//ff65ptv\\\n",
       "nK/evXvrqquu0jfffOMRBiWpf//+Wrp0qUvZ4sWL1b9/f0lS27ZtlZ2d7VKnoKBAq1atctYBgNqA\\\n",
       "0UEAVsAIIQCf0tPT1blzZ5ey1NRUZWZmOstHjhypk046yfmM4R133KEBAwbo8ccf1+DBg/X2229r\\\n",
       "zZo1euGFFyTJuY7hgw8+qFNPPVVt27bV/fffr5ycHA0bNqxGzw8AfAkl7BEKAdRlBEIA1bJjxw7Z\\\n",
       "bP93s8EZZ5yhN998U/fdd5/++te/6tRTT9W8efNcguVdd92lwsJCjRkzRkePHtWZZ56pRYsWxfw5\\\n",
       "RQCoQiAEYBWGaZpmrDsBAKEqKCjQ9OnTuRAD4NXkyZOVn5+vBg0ahLRfSkqKiouL1aRJE5c/dvnj\\\n",
       "cDh08OBBJScnq6ioKJzuAkDM8AwhAAAAAFgUt4wCAAC44ZZRAFZBIAQAAHBDIARgFQRCAPXepEmT\\\n",
       "Yt0FABE0ZcqUqB+DQAjAKgiEAAAAbgiEAKyCQAgAAOCGQAjAKphlFAAAAAAsihFCAAAAN4wQArAK\\\n",
       "AiEAAIAbAiEAqyAQAgAAuCEQArAKAiEAAIAbAiEAqyAQAgAAuCEQArAKZhkFAAAAAItihBAAAMAN\\\n",
       "I4QArIJACAAA4IZACMAqCIQAAABuCIQArIJACAAA4IZACMAqCIQAAABeEPQAWAGzjAIAAACARTFC\\\n",
       "CAAA4IZbRgFYBYEQAADADYEQgFUQCAEAANwQCAFYBYEQAADADYEQgFUQCAEAANwQCAFYBYEQAADA\\\n",
       "DYEQgFWw7AQAAAAAWBQjhAAAAG4YIQRgFQRCAAAANwRCAFbBLaMAAABuqgJhsK9ItH+i9evXR+Q4\\\n",
       "ABAIgRAAAMBNtANhID179vRa3qlTp4gfC4C1ccsoAACAm2jfMmqaps/9169f71HPbrerrKxMGzZs\\\n",
       "CPlYAOAPI4QAAAC1iLfRwdLS0hj0BIAVEAgBAADchHPLaHFxsVJSUpyvPn36xPgsACAwbhkFAABw\\\n",
       "E+4to8XFxc6v16xZE/F+AUCkEQgBAADchBsIk5OTnV8zAQyAuoBACAAA4CacQJicnKyioqJqH3vd\\\n",
       "unUezxGmpKRUu10A8IZACAAA4Cbas4w2bNhQ+fn5XtvxNwNpx44dQz4WAPjDpDIAAAA1zD0Mulu3\\\n",
       "bp3X8h9//DEa3QFgYYwQAgAAuKnJdQi96dGjR8A6ABAJBEIAAAAvwgl6AFDXEAgBAADcRHuEEABq\\\n",
       "CwIhAACAGwIhAKsgEAIAALghEAKwCgIhAACAGwIhAKtg2QkAAAAAsChGCAEAANwwQgjAKgiEAAAA\\\n",
       "bgiEAKyCQAgAAOCGQAjAKgiEAAAAbgiEAKyCQAgAAOCGQAjAKphlFAAAAAAsihFCAKjFfI08mKZZ\\\n",
       "wz2JreqMwAT6rKw2umO1n51wMUIIwCoIhACAWq06ASbQhfqCBQvCbhv1G4EQgFUQCAGgjrHaCE9x\\\n",
       "cXHY+1ZWVvrcZpqmLrzwwrDbRv1GIARgFQRCAKgj4uPjVV5eHutu1Di73e53e3x8vGw2m8rKylzK\\\n",
       "N23a5PdC3WbjMXr4RiAEYBX8NgTg07Rp09SnTx+lp6erWbNmGjZsmDZt2hRwv7lz56pDhw5KSkpS\\\n",
       "ly5dtHDhQpftpmlq4sSJat68uZKTk5Wbm6vNmzdH6zTqNNM0nS8rhkFJiouL81pus9mcn0tpaanL\\\n",
       "Z2Waptq3b++zzfj4yPw9NDc3V6WlpSouLo5Ym+Fq1KiRx2eQkpIS0z7VZVWBMNgXANRVBEIAPi1f\\\n",
       "vlzjxo3TV199pcWLF6u8vFznnXeeCgsLfe6zYsUKjRgxQqNHj9b69es1bNgwDRs2TD/88IOzziOP\\\n",
       "PKKnn35aM2fO1KpVq5SamqpBgwappKSkJk4LdZB7GF66dKnf20H9GTlyZNj7StK2bducgWvx4sVK\\\n",
       "TExUUlKSysvLYxYM0tLSdPjwYY/ywsJCQiEAwC9uGQXg06JFi1zez5o1S82aNdPatWt19tlne93n\\\n",
       "qaee0vnnn6+//OUvkqQHHnhAixcv1jPPPKOZM2fKNE09+eSTuu+++zR06FBJ0r/+9S9lZWVp3rx5\\\n",
       "uvLKK6N7UqiT4uPjI/LsZHx8fLXCoMPh8Bv69uzZo+bNm4fdfriOHTvmc1thYSEjWGHgllEAVsEI\\\n",
       "IYCg5efnS5IaN27ss87KlSuVm5vrUjZo0CCtXLlSkrR161bl5eW51MnIyFC/fv2cdbwpLS1VQUGB\\\n",
       "ywsI1tdffy3DMKoVBqXAF/7Z2dnVaj8cY8eODVjHqrcbVwe3jAKwCgIhgKA4HA6NHz9ev/3tb9W5\\\n",
       "c2ef9fLy8pSVleVSlpWVpby8POf2qjJfdbyZNm2aMjIynK+WLVuGeyqoQbXhotnhcKhv375B1Y2P\\\n",
       "j/f5zKK/ZxJjacaMGQHrxMfHe0y6A/8IhACsgkAIICjjxo3TDz/8oLfffjsmx7/33nuVn5/vfO3c\\\n",
       "uTMm/UDwvF0kjxkzxu8+H330kSZOnBjRfpx11lkB62RmZjonqKmoqPA6IUswEyrVpKpJdYKVkJBg\\\n",
       "uSVLqoswCMAKCIQAArr11lv1n//8R8uWLVOLFi381s3Ozta+fftcyvbt2+e8la7qv/7qeGO329Wg\\\n",
       "QQOXFyLnhhtu0I033hix9nxdJP/3v//1u88f/vAHPfDAAzIMQxUVFRHpy2uvveZ3++DBg3Xw4EGP\\\n",
       "8sLCQj388MNKTU0NacIjf8/z+fPTTz/JNE1VVlZq4MCBPuulpKQ46yF6GCEEYBUEQgA+maapW2+9\\\n",
       "VR988IE++eQTtW3bNuA+/fv319KlS13KFi9erP79+0uS2rZtq+zsbJc6BQUFWrVqlbMOat4777yj\\\n",
       "OXPmRKStNm3a+Ny2ZcsWr+VNmzb1KEtISPB7nGAvxtu1a+dz26hRo/Sf//zH5/a77rpLx48fD7gW\\\n",
       "4onS0tL83lbtLicnR6Zp6rTTTpP068jfkiVLnDOZOhwOORwO53t/s/wCABAqAiEAn8aNG6c33nhD\\\n",
       "b775ptLT05WXl6e8vDwVFxc764wcOVL33nuv8/0dd9yhRYsW6fHHH9dPP/2kyZMna82aNbr11lsl\\\n",
       "/XoRP378eD344IP697//re+//14jR45UTk6Ohg0bVtOniP8v1Il6unbtKpvNpoYNG+rQoUOSfp24\\\n",
       "xGazafv27T7387VWn7cROn/cQ6BhGH5H5kzT1KxZs1zql5eX65VXXgnpuMH6/vvv1a9fv4D1DMPQ\\\n",
       "7t27A9ZhBKrmMUIIwCoIhAB8eu6555Sfn69zzjlHzZs3d75OHEnasWOH9u7d63x/xhln6M0339QL\\\n",
       "L7ygbt266d1339W8efNcRkzuuusu3XbbbRozZoz69Omj48ePa9GiRUpKSqrR80N4DMPQ999/L9M0\\\n",
       "lZ+fryZNmsgwDCUmJob9jFpmZmbQdbt16+a1PNBtxNdee63LqFu0F5L/6quv1KpVK791HA5HVPuA\\\n",
       "8BEIAVgF6xAC8CmYi/tPP/3Uo2z48OEaPny4z30Mw9DUqVM1derU6nQPMRCtZRUOHjzocVHta8Ty\\\n",
       "u+++89mO3W5XaWlpRPtWHdu3bw958pdoqw/h5d5771ViYmJUj8E6hACsghFCAEDQ3CcDCpX7zJ0n\\\n",
       "Mk1TjRo1UmJioioqKpSenh5y+2VlZTIMQ/fcc091uhlRvkYBGR2s3RghBGAVBEIAQFCKioqq3UZx\\\n",
       "cbFsNt+/eg4fPqzS0lKfawEG6+GHH3ZeqNeG0TnTNPXXv/7V+d7biChqFwIhAKsgEAIAgpKamhqR\\\n",
       "dkzT1BtvvBH2/qGOrPkLoDXp73//u/MZxmCemSwoKHCGjYyMjBroIU5EIARgFbXjtyQAwFLuuOOO\\\n",
       "sPeN5BqFoajpZxNPDIEFBQW1JtgCAOoXfrsAAAL66aefItregQMHqrV/XFycTNP0u+ZhpCQlJckw\\\n",
       "DOd/a+IW1AULFniUmaapH3/80Wv98vLyaHfJchghBGAVBEIAQEAPPfRQxNoqKSmJ2GjX1q1bVVZW\\\n",
       "5reOv4lsAnE4HB4jg8H0vbqhceDAgV7LO3fu7NKfk046ybnkh2EYfteARGgIhACsgkAIAAjopZde\\\n",
       "CrruvHnznM/KeXvZ7faI9i0hIUGmaWr69OletxcWFobd9jfffOO13Nfto3379pVhGLLZbNUKCf7W\\\n",
       "5KwaqTQMQ3v27HHZVhMjplZBIARgFQRCAEBAiYmJQS3kbpqmhg4dWgM98nTnnXfKNE3dfvvtatSo\\\n",
       "kXbs2FHtkboePXp4LfcW2AYOHKivv/7apWzKlCk+2x4/frwMw9CZZ57pdXttmB3VygiEAKyCQAgA\\\n",
       "CEp5ebk2b97sddtjjz1WawLMU089pcOHD6tly5bVbsvfhf5ZZ53l/PqMM87QJ5984lFn8uTJXvcd\\\n",
       "MGCAnnrqKUnSl19+6fM4oX6mgW6fRfAIhACsIvCfewEA+P/atWtXa4JfTfn8889dwl+VL774Iuwg\\\n",
       "8Nlnn3mUmabptb2KioqgRmcPHTqkhISEgPXqw/fP38grACA0BEIAAPzwdUtnMMaOHRt03ZKSEiUn\\\n",
       "J3uUx8XFBZzdtD6EvNomlJE/RggB1GXcMgoAQADhzoo6Y8YMr+UlJSUeZd7CYBWHw+G1vHPnzoTB\\\n",
       "KOGWUQBWQSAEANSoyy+/3ONieunSpbHuliTp4MGDLv06dOiQysvLFRcXF1I7gUb07Ha7KisrlZSU\\\n",
       "pIYNGwYV6o4fP+78OikpSaZp6vvvvw+pXwgegRCAVXDLKACgxvi6cM7NzfVafuqpp+p///tfNLvk\\\n",
       "NG/ePF188cUuZU2aNFFCQoIqKyuDbifYETubzabi4uKg201NTWU0sAZxyygAq2CEEAAQllDDSTi3\\\n",
       "XW7evNl5YV5eXu4sLysr0+9//3uNGDEiYBtZWVnONnbs2OGznnsYrFJeXq6uXbsGPM5JJ51EYKtH\\\n",
       "GCEEYBUEQgBASGbOnOmy+HowyzskJiZWOywlJiY6L77tdruWLFmit99+W4Zh6Oeff/a6T0JCgvbv\\\n",
       "3+9837p1azVt2tSjnr+wum3bNq1fv14ffvihzzo2m027du0K4WwAAKgdCIQAgKDMmTNHhmF4zJwZ\\\n",
       "KAi1adPGZXQvGk499VSPUZrx48eroqLCo27Vc4KHDh1SaWmp4uLifIbV5557Tq1bt5YkXXjhhWrR\\\n",
       "ooXXeoFuKXU4HGrWrJmys7O99gm1DyOEAKyCZwgBAF41b95ceXl5QdV1OBw+R9m2b98eyW75ZRiG\\\n",
       "s9+BRiSbNGnid7vdbtfNN9/sUrZz5041btxYR44ccR7P1wygVUzTdJmUpmqtQG4vrf2iFfSmTJmi\\\n",
       "yZMne5SvW7dOPXr0iMoxAcAXAiEAWMR3332noqIi9evXz++FbmpqqoqKikJq21cYHD58eEjtRMLe\\\n",
       "vXurtX+gkHf48OGQ2vO1WHygmUgRW9GcVMZbGJSknj178jMBoMZxyygA1HN//vOfZRiGunXrpv79\\\n",
       "+zuf/fv4449d6m3ZskWGYYQcBv05++yzI9ZWTWjTpk3AEb9Q+bud9K677orosfzZu3cvtzaGoCZu\\\n",
       "GTVN0/kCgFghEAJAPff44497LR80aJDLBW27du0ifuzbbrst4m1G09atW2v0eAsXLqyR41xwwQXK\\\n",
       "ycmpkWPVF+EEwuLiYqWkpDhfffr0CXiME/8LALFAIASAWswwDK+zYgarsLAwgr3xLtDFrGmazolZ\\\n",
       "gpWUlKTy8vKQ1umrrhdeeCEq7Q4ZMsTntm+//bZabaelpckwDI0bN85vvUWLFlXrOFYU7ghhcXGx\\\n",
       "87VmzRqvbb/88ssux6nCSCGAWCAQAkAtVzUrZji3MqampkahR6Hbtm2by+1xpmmqsrLSa5g0TVPF\\\n",
       "xcWKj49XUlKSTNNUUlKS13Zfe+01Z3u//PKL3z4YhqG2bdv63H7jjTeGdlJBmj9/vtfy7Oxsl8lm\\\n",
       "QtW1a1dn4J8xY4aSk5O91jt69GjYx0DokpOTna/evXt7rTN69Giv5YwUAogFJpUBgDrC3/II/pim\\\n",
       "GdaFpvux2rZtq23btgWsFyybzRZ0yC0uLpZpms7Ja9577z1dcsklHv3zda6++nj8+HGlpaX5PXZp\\\n",
       "aalHIC0tLVViYmJQffd3/Or4/vvvXd6XlJSoXbt2HmsyEjLCE86kMsnJySE9g3vizwXfJwCxwggh\\\n",
       "ANQRQ4cODXvfQOvknSg9Pd1rgKnp5+vcVc3KaZqmRxg80YmhsHHjxn7DWKAwKMnr6KTdbtc333wT\\\n",
       "uNNRlJKS4lG2ZcsWj7KMjIya6E69wzqEAKyCEUIAqAMSEhI0b968sPd3XxbCZrOFFBKrlJeX+1xG\\\n",
       "oTaJ1Eyh/sJkjx49YvrM1/79+4MKtNKvay4ePHgwyj2qX6K57ER19wOASGKEEABqMYfDIdM0VVZW\\\n",
       "FtF2w52sJT4+3iOEvPvuu5HoUp107NixmB07lOdDDxw4oLFjx0axN/VPNEcIfQX5gQMHRqLrABAS\\\n",
       "AiEA1GKRGkFwv71x9+7dYbd17NgxXXzxxZKk3/72t7r00kur07VaLdDnX5cmbJkxYwazWIYgmoHw\\\n",
       "2LFjHpMsmaapJUuWROlsAMA3bhkFAAtwn+3wrLPO0q5du8Ju7/3331dxcbHPmS2tIjs7O9ZdAACg\\\n",
       "WgiEAGAB7s8LVmeEsIpVwqC/WVrrwvOUCE9NPEMIALUBt4wCQB21adMml1vWfC2CjerzFgojNXFN\\\n",
       "uFq2bBnT49d3zDIKwCoIhABQB5WXl6tDhw4uZX369NF3330XdBvhPk+2bdu2iIwwhuqxxx5TZmam\\\n",
       "TjnllJDWegsk2NlWqyb4qXrFMgRs2bLF5y2/4cweC08EQgBWQSAEgDrI1+2a3bp181p++PBhj7JQ\\\n",
       "L2L/8Y9/yDAMtW3bVi1atKixi+BWrVrJMAz95S9/0eHDh/XLL78oNTVVc+bMqVa7O3fulGEYio+P\\\n",
       "l2EYHktz1FbFxcVq166dz+1NmjSpwd7UXwRCAFZRN377AQBchHoB2qhRI5WUlDjfhzo6WFlZqXvv\\\n",
       "vdejfOHChSG1E6rKykrt3LnT67ZZs2aF3a7D4VCrVq1cykzT1EknnRR2m1Uh2TAMVVRUhN1OIN4W\\\n",
       "pD9RXZr5tDYjEAKwCiaVAYA6qKSkRPHxnv8Lt9vtPvex2+1h3ybqa9TpwgsvjOqzdKtXr/a57aOP\\\n",
       "Pgq73bi4OK/le/bsCas9m83m8tkmJCTI4XB4BIWKigolJibKbreHtRbkzz//HFQ9wzBYYgIAEBRG\\\n",
       "CAGgFrPZbEpJSVF5eblLeVxcnEcQS0hIcBkFjKSkpCSv5dEeGenfv7/X8lguCO+Nt/Dlfguqw+FQ\\\n",
       "QkKCTNNUSUlJWJ9d+/btg65rGIZOPvnkkI+BXzFCCMAqCIQAUIuZpqni4mIlJiZ6PB9YNQpU9Sor\\\n",
       "K4taP3yNnNXE5DInjrTFxcXJNE2lpaX53ScxMVE2m02lpaVR758/8fHxMk1TO3bs8DoqaRiG3n77\\\n",
       "ba1evVqNGzdWXFyc3njjDZ/thTrqt3XrVo+wEmrQqY2v0tJSrwu7n/iqLgIhAKsgEAJAHRHKDKKR\\\n",
       "ZhiGJkyY4FKWnJxcIwuzG4bhnOEzmGfzDMNQeXm5TNP0ObLpy8svvxxuN72qrKyUzWZT69atfdYZ\\\n",
       "MWKE+vXrpyNHjsjhcOiaa67xGjAuvPDCsPtRVybMqU0IhACsgmcIgTpu69at+vzzz7V9+3YVFRWp\\\n",
       "adOm6tGjh/r37x/yxTDgz+OPP67HH39cxcXFtXZReveJYiRp7ty5Gj58eFD7X3/99WEdNxrLUGRm\\\n",
       "ZurQoUOSfl1mZMGCBWG3ZZqmSktL/T5jCk8EPQBWQCAE6qjZs2frqaee0po1a5SVlaWcnBwlJyfr\\\n",
       "8OHD2rJli5KSknTVVVfp7rvv9js6gbrD2yQysVBbw6AkrzOSjhkzJqhA+M4771Tr2JEOhYcPH1a3\\\n",
       "bt20a9cur8uGSNIll1yinTt36uuvvw7YXlJSUsBbbfF/Qhn5IzgCqMu4hwSog3r06KGnn35a1113\\\n",
       "nbZv3669e/dq7dq1+uKLL7RhwwYVFBRo/vz5cjgc6t27t+bOnRvrLqOaqm6DrK5169Y5L3Tr4/IE\\\n",
       "WVlZHmWFhYVB7RvsKKI/gZaECNUDDzyg/Px8r9tM09R7772n1atXa8WKFUG1d/z48Uh2DwBQDxAI\\\n",
       "gTroH//4h1atWqVbbrlFLVu29Nhut9t1zjnnaObMmfrpp5+YabAOq3p2LhJLO3z00Ufq1auX832j\\\n",
       "Ro10+eWXV7vd2mTr1q0eZe5B+sorr4za8YuKiiLWlmmaGjJkiNflNY4cOeLy3tdsrAgfzxACsAoC\\\n",
       "IVAHDRo0KOi6mZmZLiEAdUskLzQHDx7sUVbfRo+DeW52zpw5QbdXXl6uPn36OJ/l8+fzzz8Put1A\\\n",
       "evfu7fx64MCBHtsbNmwYsWPBOwIhAKuoHQ+kAKi2/fv3a//+/R4jSV27do1Rj1Db+JqKPxoTosSK\\\n",
       "r/MwDEP33HOP/vGPf4TUXmJioiSpSZMmkrx/hqeeemrQC8YH68RnAoOZIfS///2v3+3ff/+9Onfu\\\n",
       "LInn3YLFM4QArIJACNRxa9eu1bXXXquNGzc6L1ar1qczDEOVlZUx7iFqC5vN5vXW01hfzNpsNpeg\\\n",
       "5S107d69W61bt5ZpmlqwYIHOP/98r235e87SXxj0dsult387VSEhKSlJxcXFPturjkDPinr7fl1w\\\n",
       "wQVe6/bt21erVq2KSL+shkAIwCq4ZRSo466//nq1b99eK1as0C+//KKtW7e6/Beo4i3gTJ48ueY7\\\n",
       "coKEhASPAGgYhlJTU7Vr1y796U9/kmEYatGihSorK+VwOHTBBRfIMAzddNNNHu2Fu6yCt0lZfK37\\\n",
       "aJpm1MKgYRheZ5M9sezDDz/02idvCIPh45ZRAFbBCCFQx/3yyy9677331K5du1h3BXVAVXCoDbeJ\\\n",
       "lpaW+lxovqioyOuESSd64YUX9MILLzjDUjCL1nuTnp7utTwWt1v7mjyotLRUcXFxstlsXp8Frbor\\\n",
       "IJi2fIXHumTKlClRPwYjhACsghFCoI4bOHCgvv3221h3A3WMvwvYq6++WoZhqFGjRgHb+e6779S2\\\n",
       "bVt17dpVa9asCakPwUwAE4yKioqgw2BcXJzL+xdffFEFBQVB1Y0Um82myspKmaapgoICLViwQBUV\\\n",
       "FX6DWtVttb5uAXdfWiM9PZ2QAgAICiOEQB330ksv6dprr9UPP/ygzp07KyEhwWX7kCFDYtQz1EUn\\\n",
       "TpBy9OhRryNP0q+jTO6TnfTp08dnu4Zh6Oyzz9aTTz6pW265RStXroxsxwOoqKgIK+DFx8eHPfLo\\\n",
       "y4mhLj09XX/4wx+q3WZycrKOHz+urKwsPffcc7rmmmuq3abVMUIIwCoIhEAdt3LlSn355Zde1ypj\\\n",
       "UhmEyttsme6T0ZSXlztn3wyWaZpavny5evToUe0+hmLbtm1q3bp12PuXl5fL4XAEDJPJyckuaxDe\\\n",
       "dNNNeuGFF8I+bjhSU1NZeD6CCIQArIJbRoE67rbbbtPVV1+tvXv3yuFwuLwIg6jicDhks9mcE7aE\\\n",
       "wn2EMNQwGCv79u2rVhisYrPZdOzYMb913Bekf/7556t9XMQWk8oAsAoCIVDHHTp0SHfeeaeysrJi\\\n",
       "3RXUYnFxcc5gV1RUpMceeyyk/V999dVodCtqRo0apWbNmkWsvbS0NOdahO78re/oLi8vL2J9QnQR\\\n",
       "CAFYBYEQqOMuueQSLVu2LNbdQC12yimneJT95S9/CamNc845J0K9ib74+Hi98sorIe+3f/9+ffrp\\\n",
       "p1qzZo2OHDniMUvnhg0bPC78Az1fWFpa6vz6yiuvjMkfbpKSkpyhpa6M7tYGBEIAVsEzhEAd1759\\\n",
       "e91777364osv1KVLF49JZW6//fYY9QyRkJiYqHbt2um7777zuj5dMHytR1lSUuIx02diYqLKyso8\\\n",
       "6rZt29b59fPPP+91DcBYcJ/05vbbb9dTTz0VUhtNmzbVwYMH/dbp0aOH3n//fR0/flw2m012uz2o\\\n",
       "EJCYmBjTZR6WLl3qEkoDLXoPALAeAiFQx7300ktKS0vT8uXLtXz5cpdthmEQCOu48vJybdy40Rn0\\\n",
       "R4wYoTfffDMibaempno8Z3ryySfrp59+8rvfmDFjakUg3L17t3JycqrVxscffxwwDErS+vXrNWDA\\\n",
       "AG3fvr1ax6tpde1W39qESWUAWAW3jAJ13NatW32+fI0MherZZ59VmzZtlJSUpH79+mn16tV+68+d\\\n",
       "O1cdOnRQUlKSunTpooULF7psN01TEydOVPPmzZWcnKzc3Fxt3rw5rL6Zpun3VVpaGvKtX7Xp5e6t\\\n",
       "t96SYRiy2+3VHnnytnC5tzB41llnVes40dK8efNqtzFo0KCg6+7cubPax6tpr7/+eqy7UGfVh1tG\\\n",
       "X3nllVrbNwC1B4EQqKf27t2rRx55pNrtzJkzRxMmTNCkSZO0bt06devWTYMGDdL+/fu91l+xYoVG\\\n",
       "jBih0aNHa/369Ro2bJiGDRumH374wVnnkUce0dNPP62ZM2dq1apVSk1N1aBBg1RSUlLt/lpFWVmZ\\\n",
       "c9bQ6izlYBiGtm3bJkk67bTTvNbJzMz0KIvWou1Vrr/+emeo96Wmn51NSUmp0eNFAmEgfPUhEF5/\\\n",
       "/fWx7gKAOsAwY/lwA4Bq8/ULf/v27Vq9enXA6fID6devn/r06aNnnnlG0q+jSi1bttRtt92me+65\\\n",
       "x6P+FVdcocLCQv3nP/9xlv3mN79R9+7dNXPmTJmmqZycHP3pT3/Sn//8Z0lSfn6+srKyNGvWLF15\\\n",
       "5ZVB9augoEDTp08PWK+srEzTpk0Lqs26zts6dKWlpR7PCYbKMAyP0cQHH3xQ999/f7Xa9cf9V5Ov\\\n",
       "C+5Av8IcDofsdrsqKiqUnp6uQ4cOOW+//fDDDzVkyJCw+1RXmKYpm83m8r6umzJlSsA6kydPVn5+\\\n",
       "vho0aBBS2ykpKSouLtbdd98tu90e1D6lpaV6+OGHPdajrA2q/u3Uh+87gOhghBCo444cOeLyOnjw\\\n",
       "oFavXq1PP/005KUF3JWVlWnt2rXKzc11ltlsNuXm5mrlypVe91m5cqVLfenX2/Kq6m/dulV5eXku\\\n",
       "dTIyMtSvXz+fbSI4hYWFMgxDGRkZ2rx5s84+++xqh0HJ+4XkfffdF1ZbXbt2DTjS1rdvX4+yqj9I\\\n",
       "hKKgoEBxcXHOmUCPHTumxMREpaen6/e//33QYdB94pq6xjAMr6O88K8+jBCeqK71F0DNYVIZoI77\\\n",
       "4IMPvJb//e9/17x586o1+cfBgwdVWVnpMVV+VlaWz4lH8vLyvNavWn+t6r/+6nhTWlrqMltiQUFB\\\n",
       "8CdiMQUFBWrfvn3Uj9OgQQOX70P//v01depUXXDBBT6XY5g9e7bS0tJcZi119+mnn3qU3Xzzzbr1\\\n",
       "1ls9yn/66Sd16NDBazuNGzf2Wn78+HEtWbLE5/Hd1Yeftf3790f9Nl/UTlV/zGjYsKHy8/Nj3BsA\\\n",
       "tREjhEA9NWLECK8X1nXVtGnTlJGR4Xy1bNky1l2yFG/r1+Xn57tM4LNixQrl5ub6Xdqgc+fOatOm\\\n",
       "jUzT1IYNGzy2N2rUSMnJyR7lvsLM6aef7rXcNE2PGVTDYbfblZaWFta+Doej1ows2my2gGsmwlNd\\\n",
       "HB301afp06e7/HsFgCoEQqCe+vbbb6s12YgkNWnSRHFxcdq3b59L+b59+5Sdne11n+zsbL/1q/4b\\\n",
       "SpuSdO+99yo/P9/5qoszPtZlkVi/LiMjw+X96aef7rw4rQpPhw8fDrnd5557zqMsUqNhoZz3oEGD\\\n",
       "XEJCXFycc+Kfc889NyL9qY64uDiCQAjqwy2jJ/Zr9OjRtbafAGKLW0aBOm7ChAkeZfv27dP8+fM1\\\n",
       "ePBgl+3BTMJyosTERPXq1UtLly7VsGHDJP066rF06VKvt+9Jv942uHTpUo0fP95ZtnjxYvXv31/S\\\n",
       "rwucZ2dna+nSperevbukX2/JW7VqlcaOHeuzL3a7PegJHhAdL774om688caw9//kk098bqvOheot\\\n",
       "t9yiDRs26Mknn1RcXJyys7MjFnwcDocqKioUH+//12Wg/i9btqzOP4toNaEEvdoctPi5AxAIgRCo\\\n",
       "49avX++1vE+fPtq/f79zeYhwL1gmTJiga6+9Vr1791bfvn315JNPqrCwUKNGjZIkjRw5UieddJJz\\\n",
       "Js877rhDAwYM0OOPP67Bgwfr7bff1po1a/TCCy84+zF+/Hg9+OCDOvXUU9W2bVvdf//9ysnJcYZO\\\n",
       "1E5jxowJKhB26dLFa3nVHwCi4Zlnnglr4plgJCQk+L2gTk1NDbotLs7rjroeCPkDGoBgEQiBOi7a\\\n",
       "a7FdccUVOnDggCZOnKi8vDx1795dixYtck4Ks2PHDpcp7c844wy9+eabuu+++/TXv/5Vp556qubN\\\n",
       "m6fOnTs769x1110qLCzUmDFjdPToUZ155platGhRWDNiBroQi8QC7rFU2y40e/XqpbVr1/rc3qxZ\\\n",
       "Mx04cMDrttp2LqHwF+RCXWaAUFg31PVAWFZWFusuAKgjCIQAArr11lt93iLqbeKa4cOHa/jw4T7b\\\n",
       "MwxDU6dO1dSpUyPVxXqrKjjEx8dHZJKU6lq3bp0Mw1CnTp20fft2j3UP/Tl06JCaNGkS1nH37NkT\\\n",
       "1n6R9O2336pbt24RaYtQWPvV1UBomqZHf2pT/wDUPkwqA9RB559/vr766quA9Y4dO6aHH35Yzz77\\\n",
       "bA30CtFU22aI/PHHH0MKg9Kvo4eBPPbYY84LcZvNpm7duqlp06Y66aSTwu1qxHi75bU63xeWgUC0\\\n",
       "nDib6IlLD02ePDl2nQJQazFCCNRBw4cP16WXXqqMjAxddNFF6t27t3JycpSUlKQjR45ow4YN+uKL\\\n",
       "L7Rw4UINHjxYjz76aKy7jAho166dfv7551h3I2ymaSo/P99jttEq7qOgpmnqu+++q6nuBaVFixba\\\n",
       "tWtXRNpyOBwaNmyY5s2bF5H2EFl1dYTQ3cyZMzVz5sxYdwNALUYgBOqg0aNH6+qrr9bcuXM1Z84c\\\n",
       "vfDCC84Fhw3DUMeOHTVo0CB9/fXXPtdpQ92zceNGJSQkxLob1dKwYUOvt0ouW7asVtwSG8ju3btd\\\n",
       "3ld3lG/+/PnV2h/RU18CIQAEQiAE6ii73a6rr75aV199taRfFwkvLi5WZmZmnQ8N8C7Q0gd1hbfn\\\n",
       "52rDOn3BiouLc4bXSDwHeMcdd+ipp56qdjuILAIhAKvgGUKgnsjIyFB2djZhsB7zN4K2dOlSl+eG\\\n",
       "SktLtXXrVhUXFzvLvM2GWbVYuWmaatq0aTS778IwDPXr108PP/xwrbuYNgxD27dv15gxY7xudzgc\\\n",
       "zmVXzj///Gof7+mnn652G4i8+rAwPQAEg0AIALWYzWZzvvyNELqPsCUmJqpNmzYuS3kkJyfr8OHD\\\n",
       "zvfx8fEuk6Ls37+/RkchV69erXvuuafGjheMsrIyORwOtWrVSs8//7zPEcBZs2bJMAwtXry4hnvo\\\n",
       "27Fjx3TVVVd53NaK8EQ7EBIsAdQWBEIAqMVOHPXz58SZBP3Zu3ev82tvI44nrilZXxUVFbl8rjNm\\\n",
       "zNApp5yiiooKryPsq1evjnqfTgzqwXA4HLrwwgsVFxfnDBINGjTQm2++qRYtWujDDz+MUk8RCcww\\\n",
       "C6A2qf+/+QHAAl544YWgwlzPnj2dX5umqWPHjrlsrwuLWV933XXasWOHUlNTQ973yJEjSk5Odikb\\\n",
       "O3asfv75Z58X6X369Amrn6HIzMyUw+EIWK9qjbm4uDgtWLDA5z5Dhw712UaoI1+18VVaWuoS6r29\\\n",
       "qiuaI4RV37do9BsAQlU/ZigAADjDgr+LytLSUpf3DRo0kGEYSkxM9NhWGx0/ftwZBKvWQbTZbEFd\\\n",
       "SNvtdjVs2DCs43pb7DvSTgykqampWrhwoc4++2zn8dPT01VYWBhUWwSL6quJSWXc9+P7BiAWGCEE\\\n",
       "6rhrr71Wn332Way7gVrE18Wpr9GkqklowmG321VWVqb8/PyoB6bc3Fyvo4IOh8M5unLi15WVlbr8\\\n",
       "8stls9nUrFkzlZSUVOv4zZo1q9b+oSgsLNSAAQOcocRmswUdBhEZ4YwQFhcXKyUlxfkKdXSZZwgB\\\n",
       "xAKBEKjj8vPzlZubq1NPPVUPPfQQE0pAkvcLy0g/t5SUlKSSkhIlJCSoQYMGcjgc2rhxo5KTk5WU\\\n",
       "lKTu3burefPmQbeXmprqMitqfn6+2rdvr/T0dG3bti2oCVxOPG+bzaY5c+aosrJS+/btC+scT+Sv\\\n",
       "jWeffdYZRsvKyvTHP/6x2seLhjPPPDPWXagzwr1ltLi42Plas2aN32NwqyiA2oBACNRx8+bN0+7d\\\n",
       "uzV27FjNmTNHbdq00QUXXKB3331X5eXlse4eYigtLc35dTTW+Tt69KhHWYcOHVRUVKTi4mKtX79e\\\n",
       "e/bs0c6dOwO2ddddd+n48eMus6I2aNBAmzZtUkFBgVq3bh3JrofN23OaycnJuuWWW5yhICEhQbNn\\\n",
       "z1Z+fn5Nd8+Ft3//K1asiEFP6qZwA2FycrLz1bt37xieAQAEh0AI1ANNmzbVhAkT9O2332rVqlVq\\\n",
       "166drrnmGuXk5OjOO+/U5s2bY91FxEBhYaHzYnXZsmURbfvTTz+V3W4Pqm6LFi1kmqYGDhzose3l\\\n",
       "l1+WaZp6+OGHI9q/aHGfmTU5Odnr+o7Sr4HW37OHLVq0UEVFhcrKylyCcKQkJiZ6lHFLYnRV/TxU\\\n",
       "vb7++utYdwkAAmJSGaAe2bt3rxYvXqzFixcrLi5Of/jDH/T999+rY8eOeuSRR3TnnXfGuouoI/bt\\\n",
       "2+f1mTmHwxH20hRLlixxtlFb11w7sU8dO3bUjz/+6FEn1Nv7HA6HGjdurCNHjnhtIy4uznmrbKSX\\\n",
       "/XD/flVWVtbKz702isWkMgAQC4wQAnVceXm53nvvPV144YVq3bq15s6dq/Hjx2vPnj167bXXtGTJ\\\n",
       "Er3zzjuaOnVqrLuKWqxbt26qrKx0Ps/kawKVSAQWm81WKy+E3c9tw4YNEWv78OHDAZ8Xq5ohNpKz\\\n",
       "vb733nsRa8tqornshK+fAZ4lBBALjBACdVzz5s3lcDg0YsQIrV69Wt27d/eo87vf/S7s6fZRv516\\\n",
       "6qn63//+F+tuRFV+fr7Lz38oF+OBlvGIhsTERI8RxGDWKPTmsssui1S3LCmaf7gg/AGoLQiEQB33\\\n",
       "xBNPaPjw4X6fQWrYsKG2bt1ag71CXbFp06ZYdyHqmjRp4vI+PT1dx44d86h3/vnna9GiRR7lRUVF\\\n",
       "SklJiVr/AqnObZ61cSS2rqiJW0YBoDbgllGgjrvmmmuiMiEFrOHw4cOx7kLUuY+uVS1o7+6jjz7y\\\n",
       "Wl5QUOBR9vvf/14pKSnauHFj9TsYhC+//DLkffyNhNb1l91uj+gtnN5E85ZRAKhNCIQAYGHuo2d1\\\n",
       "zdixY2W32/2uvxnKTI+maWrMmDHO9+np6crOznapYxiGlixZouLiYnXs2FGGYXhdgiOSzjjjjIB1\\\n",
       "DMNQXFycbr31Vm5HjAACIQCrIBACQC1WNSKyatWqqB0jPt7/0wPp6enOi96hQ4f6rOdwOJSamiqb\\\n",
       "zab4+HglJyc7J5Bxf3Xo0EF5eXnaunWrMjMzPbb/6U9/CthvwzA0c+ZMlZWVqUWLFj4vynv27Bmw\\\n",
       "rRM9//zzzs/dfXTw2Wef9bpPo0aNYjJS/+yzzzr76nA4VFFRoX/+85813g8AQN1FIASAOqBv375R\\\n",
       "G/WprKzU+vXrvW579NFHXW6x/Pe//60GDRp41BszZozi4uJUVFQk0zRVWVmpkpISn33etGmTmjdv\\\n",
       "rpNPPtnrbavTp0/XlVdeGfK5tGrVymu5aZrO4NutW7eQ261yySWX+NxWWloqwzC8LggfCYWFhc6v\\\n",
       "qya7ueWWW6JyLDBCCMA6CIQAUIeUlZVFpV1fo2h33XWXR9mxY8dcFmivrKzUiy++GPE+zZkzx+c2\\\n",
       "X0Fz//79PvcpLy+XaZr65ptvwu5T8+bNA9ZJTEx0hgSbzSabzaaEhAS98cYbYR9XklJSUlxGAxFd\\\n",
       "BEIAVkEgBIA6JCEhIdZdkOR6m2mgW06rw1fw8XUB7m320EgbNWpU0HWrAlxFRYWuueYaGYah4uLi\\\n",
       "KPYOkUIgBGAVBEIAQFh27dqljz/+OKrH8DbDZxX3yWIWLVpUI4H5lVdeqdb+7dq1i1BPgjdv3jzn\\\n",
       "85wIDoEQgFWwDiEA1CG+nvWLBdM0tXjx4qgeIyMjw+e23r1718nZNHfu3BnV9isrK5WUlKSKioqo\\\n",
       "Hqe+Yx1CAFbBCCEA1CG9evWKdRecsrKydNZZZ/mtU15eLofDoS5dunhss9lsWrdunQ4ePKhmzZp5\\\n",
       "3b++XWgPGTJENlv0fvU6HA7Fx8cTBgEAQSMQAkAdERcXF9URsTfffNPlvb9nA1u3bq3ExEQNHjzY\\\n",
       "Z52qmT0Nw9B3333nsbh4ZWWlevTooczMTO3bt885WcrixYud72ujcGcR/fnnnzV//vwI9+b/LFu2\\\n",
       "THFxcVFr32q4ZRSAVRAIAaAWO3Edv2jPLHnVVVfJZrOpWbNmMgzDZSZRd7/88osk+Qwg5513Xlh9\\\n",
       "MAxDubm5HiOGTZs2dbn4/vbbb8Nq35ejR4862w50W25iYmJYxzjllFPC2i8Ypmnq3HPPjVr7VkQg\\\n",
       "BGAVBEIAqMVqepTMNE0dOHAgYL1Atz1+8MEHkeqSHA6HDh486FLWvXv3iLbfqFEj5/uePXsqOTnZ\\\n",
       "a91wb/cMd+SuoqLCJXT4+qNANG9DtSoCIQCr4DcIACAk+/btC1jHV6AKx5o1a7yWR2rE1NvMpCUl\\\n",
       "JV7DeLgB3d9oqz/ufYuLi/NYn5EwGB0EQgBWwW8RAKhDTlyc/OSTT67x48fFxfmcAOZEkbxA9jXT\\\n",
       "aKBAWFlZqb/+9a8B2/fVznfffRe4c/9fnz599MQTT/itE+oo4c033+y1/Morr3QJIrX1Wcu6jkAI\\\n",
       "wCoIhABQhxQWFjq/3rJlS9D7bdy40RkkCwoKqnULY01r376913J/k9589dVXio+P17Rp08K+WO/W\\\n",
       "rZtHWV5ensv7qpHE1atXa/z48TJNU5mZmV7bczgcMgxDZWVlAY9dXFys559/Pqx+AwAQCtYhBIA6\\\n",
       "6tprrw1Y5/jx40pNTXUpS09Pdwl2wQYmXyNRVaOV27dv1+HDh/2uHRiOUAOdaZrq37+/Rxve+u9r\\\n",
       "llRft6lmZWUFHJE7ePCg3z7b7Xa/+6N2YB1CAFbBCCEA1CGGYWjHjh3Kzc3Vv/71L791ExISPMKg\\\n",
       "N5G45fCXX35RZWWl1zD41FNPOS+uS0pKqn2sQEJ5pm7hwoUeZYZhVGu9x3CXpQjXa6+9poqKClVW\\\n",
       "Vmr//v1q0qRJjR6/vuKWUQBWwQghANQxrVu3DqpeUVFR0G1u3LhRp59+erhd8snhcGj8+PHO98nJ\\\n",
       "ySoqKorIpDNt2rTRtm3bXMpWr17ts35cXJzL5C6+LuKrO1lNuMtShCo/P18NGjRwKWvatKlzltgm\\\n",
       "TZro0KFDNdKX+ogRQgBWwQghANRT/p6xc9ehQwc1bNjQb51wnjv0dktmSkpKSG1UrXnobvv27bLZ\\\n",
       "bNqwYYP+9re/KSEhQf369fPZTtUzfNEa0alaM7ImbN++3SMMunNfqgOhYYQQgFUQCAEAkqQjR474\\\n",
       "3V4VqP7973+rsrJSlZWVAW83/fOf/1ztfvlb0N00TXXq1EkPPfRQRCa8GThwYMj7VAXBmpzts1Wr\\\n",
       "VkHVu/TSS6Pck/qNMAjACgiEAACnYGbAHDp0qOLj4xUfHx9wVCycgHWiG2+8sVr7h2rDhg0eZSUl\\\n",
       "JWrSpIlSUlI0ZcoUlZSUqKCgQKmpqTFZ9mHo0KFB1925c2cUewIAqA8IhABQT4WzGPrhw4fDOlbf\\\n",
       "vn19bnMPTKE8o/fSSy+F1Z9w7d271+XZS8MwlJycrEOHDqm4uFiTJ09WcnKyMjIyQnpGM5LmzZsX\\\n",
       "dF1/z1TCP24ZBWAVBEIAqKd+/vnnoOuapqkLL7xQ2dnZYR2rZcuWAduvegV78RzKM5CRVDXyVxsv\\\n",
       "8qdPnx7rLlgGgRCAVRAIAaCeuvnmmwPW+d3vfifDMGSz2bRgwYKwj/Xee++Fva8v4YxwhrLkRF2T\\\n",
       "mpqqO++8M+j66enpUexN/UcgBGAV9fc3JwBY3PLly/1u37Fjhz799NNqHSMuLi4qz9Bt2rQp5H3e\\\n",
       "e+8950Q3SUlJXus0btxYBQUFAWfoDKR9+/YqKSmRw+GQw+FwHvfEV3U/W3fvvvtuSPWPHz8e0eNb\\\n",
       "DYEQgFWwDiEA1FOBglqbNm3Cbjs1NTWqgaN79+4h1c/KytIll1zifF9cXOxxkV5QUOAcNcvPzw/5\\\n",
       "It4wDJWUlHhdZ9BbWwMGDNChQ4eUmZkZ0nF8ueCCC4IO340aNYrIMa2MdQgBWAUjhABQj/lbOzDc\\\n",
       "kb3XX389qmHQ4XCopKTE+X758uUyTdOlzNs+7kzT1GOPPaZTTjlFpml63EIZzPOSjRo1ksPhkGma\\\n",
       "cjgcIS8637hx45DqB2IYhmbNmuW3TnJyso4ePRrR41oRI4QArIJACAD1WNXagYFCRCiuvvpqv9tN\\\n",
       "09SHH36ozMxMnxfPNpvN67qBkyZNcgmxpmnq7LPPliTZ7XafayUeOHBAhYWFHuV/+tOffE6uU1BQ\\\n",
       "4Pc8jh49qsOHD1f7Yn/t2rXV2t/dqFGj/AYTf8FZCj3o1MZXaWmpxy267i8AQHC4ZRQALGDUqFEa\\\n",
       "NWqUGjRooF27dikjIyOsdqZMmeJzW8OGDZWfnx9UO6ZpKiEhQdKvASXYC3h//U5LSwspCPhaNsJu\\\n",
       "twcMVaHo2bNnxNpCzeGWUQBWwQghAFhI1YQq4Y6gTJw40aOsasQq2DDoLpS+dO7c2e92wzCCWuew\\\n",
       "adOmHmXnnXdewFtTw1VWVhbxNhFd3DIKwCoYIQQAeHj++ed1ww03qLCwUBMmTFC7du109913e9SL\\\n",
       "9oVwu3btnLd8/vDDD9qwYUPAfbw9N5mYmKj09HQdOXLEIzDabLawlrgIRUJCgiorK/0+04nahRFC\\\n",
       "AFZBIAQAuDAMQ2PGjJH061p2L774otd6qampUe/Lli1bInKxXVZWpkOHDnndFu0wWMVms8k0Ted/\\\n",
       "UbsRCAFYBbeMAgBcBBtWfD2DB6mkpER5eXletwVzS2uwWrRo4TGZSnFxccTatzJuGQVgFQRCAAAi\\\n",
       "KDk5WcnJyWrevLkMw/A6m2okQmHjxo21c+dOj/KkpCSZpqnNmzdX+xgAgPqPQAgA8OAtxNRXixYt\\\n",
       "imh77pPSVM2meqJIjCj5ugW2Srt27WSaptavX8+zi2FghBCAVRAIAQAevIWY+uqCCy7QaaedJtM0\\\n",
       "VVFRoZNPPjniF/nubfm6nTRYoTyD2L17d1VUVLA+X4gIhACsgkAIAPAqOTnZ57ZLLrmkBnsSff/7\\\n",
       "3/9ks9mUkJCgrVu3OsvDudBv3ry513LDMLRy5UpdcMEFPusE8u233xLqagiBEIBVEAgBAF6VlJR4\\\n",
       "vdB999139cEHH3iUjx8/3mVik3POOUc2m/V+zezZs8fntjPOOCPsW1RN01TXrl3D7ZZLO3X9Zbfb\\\n",
       "ox7QCIQArMJ6v6kBBKW8vFx33323unTpotTUVOXk5GjkyJF+L3arPPvss2rTpo2SkpLUr18/rV69\\\n",
       "2mV7SUmJxo0bp8zMTKWlpenSSy/Vvn37onUqdVptuNB0v/AdPny4R5358+friSeecL5PSkrSsmXL\\\n",
       "VFlZ6fWC/ocffqjJU6iWo0ePhrzPwYMHI9qH8vLyiLaHwAiEAKyCQAjAq6KiIq1bt07333+/1q1b\\\n",
       "p/fff1+bNm3SkCFD/O43Z84cTZgwQZMmTdK6devUrVs3DRo0SPv373fWufPOO/Xhhx9q7ty5Wr58\\\n",
       "ufbs2VPvbkGMFIfD4RKknn766Vh3yatAPxfuOnXq5FyTr7Y7/fTTQ94nMzMzon2o7qQw3GYKAPCl\\\n",
       "9v8mBhATGRkZWrx4sS6//HKddtpp+s1vfqNnnnlGa9eu1Y4dO3zuN336dN14440aNWqUOnbsqJkz\\\n",
       "ZyolJUWvvPKKJCk/P18vv/yypk+frnPPPVe9evXSq6++qhUrVuirr76qqdOrs2677bZYdyGiIj2S\\\n",
       "Fg21YfT6o48+CnvfzMxM2Ww2GYah+Pj4CPaqfmOEEIBVEAgBBC0/P1+GYahhw4Zet5eVlWnt2rXK\\\n",
       "zc11ltlsNuXm5mrlypWSpLVr16q8vNylTocOHdSqVStnHfhXG0d7wr2lsVGjRtU+drQvxmvD5z14\\\n",
       "8GDZbDbdfvvtIS0JEhcXp8OHDzvfV1ZWRqN79RKBEIBVEAgBBKWkpER33323RowYoQYNGnitc/Dg\\\n",
       "QVVWViorK8ulPCsryznNfl5enhITEz1C5Yl1vCktLVVBQYHLy8reeeedWHfBRWJiYtj7lpaWei1/\\\n",
       "7bXXnLfKervgrtp24m210TJixIiQ6kcjIJimqX/+859KSEiQYRjq3bt3wH0cDkfE+2ElhEEAVkAg\\\n",
       "BCBJmj17ttLS0pyvzz//3LmtvLxcl19+uUzT1HPPPReT/k2bNk0ZGRnOV8uWLWPSj9pi+PDhte72\\\n",
       "v5SUlLD28xUmR44c6fzafWTryJEjXvfxFS6r6+233w66bk0FhLVr19bIcayqJkcICZcAYolACEDS\\\n",
       "r5OCfPPNN85X1ehDVRjcvn27Fi9e7HN0UJKaNGmiuLg4j2eu9u3bp+zsbElSdna2ysrKPGZuPLGO\\\n",
       "N/fee6/y8/Odr507d4Z5pvVHeXm5ysvLqzU6F0nFxcVRG5Fyv1DOyMjwWi/Wn0VNX9A3bty4Ro9n\\\n",
       "JTUVCAmBAGKNQAhAkpSenq527do5X8nJyc4wuHnzZi1ZsiTgzImJiYnq1auXli5d6ixzOBxaunSp\\\n",
       "+vfvL0nq1auXEhISXOps2rRJO3bscNbxxm63q0GDBi4vSPHx8SotLZVpmrVixKi6s2H60r59e5f3\\\n",
       "vkYIo6lv374+tzkcjphc2B85ckQpKSlKTExUYmKiLr/8cpWUlOjQoUMEjWqqiUDo63lsAKhJBEIA\\\n",
       "XpWXl+uyyy7TmjVrNHv2bFVWViovL095eXkqKytz1hs4cKCeeeYZ5/sJEyboxRdf1GuvvaaNGzdq\\\n",
       "7NixKiws1KhRoyT9OrIzevRoTZgwQcuWLdPatWs1atQo9e/fX7/5zW9q/DxrO8MwZLPZ1Llz54B1\\\n",
       "e/bsqdNOO60GeuWft4lLmjdv7rxwfvjhh122nbgkyYkMw1BhYaH++Mc/avPmzS7b/N0yPHfu3DB6\\\n",
       "HdjXX3/t9TnFxo0bRy0I+2Kz2fTqq6+qc+fOKi4udo4Wz507V8nJyWrSpEmN9ge/Ki4uVkpKivPV\\\n",
       "p08fv/Xz8/Ml1Y6JiwBYF4EQgFe7d+/Wv//9b+3atUvdu3dX8+bNna8VK1Y4623ZssVl6YArrrhC\\\n",
       "jz32mCZOnKju3bvrm2++0aJFi1wmmnniiSd04YUX6tJLL9XZZ5+t7Oxsvf/++zV6fnWJaZr68ccf\\\n",
       "ZRiG2rZt67fu999/X0O98i0pKcmj7MQJg+655x4ZhqGsrCxlZ2d7TEJ0orS0NL311lse5UVFRT73\\\n",
       "ueyyyzR69Gjn+xtuuMFlLUfTNMN+1tBmsyktLU0XX3yx4uLiZBhG2KOV2dnZzv788ssvQe9nmqYq\\\n",
       "Kyt13XXX1Yrvd30V7ghhcXGx87VmzRq/7UtSx44do34uAOCPYfJnKQB1UEFBgaZPnx7UrVqTJk2q\\\n",
       "gR5Fh7fzO3DggM8RoPz8/KjfhtaiRQstXLhQPXv29LkEwom/Wo4dOxaVW3wj8evLZrPFZHTm5JNP\\\n",
       "1pYtW1zKpk6d6vdn1TAMr89oNmnSRIcOHQr62PXh1/6UKVMC1pk8ebLy8/ND/tlLSUlRcXGx5s+f\\\n",
       "r9TU1KD2KSws1NChQyVJycnJzvJOnTrp66+/9qh/4r/rqu9HVVl9+P4AqFsYIQSAOqZp06Y+t/l7\\\n",
       "zi0STNPUzp071aVLF5WXl/vtS5UTL5Brm1gty+AeBiVp4sSJfvfx1de9e/dGpE9wFc4IYXJysoqK\\\n",
       "ipwvb2HQ13FOfB9M4AWASCEQAkA94v6sXSTZ7XaPMl/P/52oti2PUd8kJCTEugv1UjQnlUlLS/O7\\\n",
       "vS7f1QCg7uG3NADUYqHePhaLEa9g+libb4OrTX0Lty+16Rzqi1CCXqiB8NixYz7b4HsJoKYxQggA\\\n",
       "AAAAFsUIIQAAgJtojhB6w8gggFghEAIAALip6UAIALFCIAQAAHBDIARgFQRCAAAANwRCAFZBIAQA\\\n",
       "AHBDIARgFcwyCgAAAAAWxQghAACAG0YIAVgFgRAAAMANgRCAVRAIAQAA3BAIAVgFgRAAAMANgRCA\\\n",
       "VRAIAQAAvCDoAbACZhkFAAAAAItihBAAAMANt4wCsAoCIQAAgBsCIQCrIBACAAC4IRACsAoCIQAA\\\n",
       "gBsCIQCrIBACAAC4IRACsAoCIQAAgBsCIQCrYNkJAAAAALAoRggBAADcMEIIwCoIhAAAAG4IhACs\\\n",
       "gkAIAADghkAIwCoIhAAAAG4IhACsgkAIAADghkAIwCqYZRQAAAAALIoRQgAAADeMEAKwCgIhAACA\\\n",
       "GwIhAKsgEAIAALghEAKwCgIhAACAGwIhAKsgEAIAALghEAKwCmYZBQAAAACLYoQQAADADSOEAKyC\\\n",
       "QAgAAOAFQQ+AFRAIAQAA3DBCCMAqCIQAAABuCIQArIJACAAA4IZACMAqCIQAAABuCIQArIJlJwAA\\\n",
       "AADAohghBAAAcMMIIQCrIBACAAC4IRACsAoCIQAAgBsCIQCrIBACAAC4IRACsAoCIQAAgBsCIQCr\\\n",
       "YJZRAAAAALAoRggBAADcRHOE0Fd90zRDagcAIoERQgAAADdVgTDYVyQ0bdo0Iu0AQCgYIQQAAHAT\\\n",
       "zRFC95HAqv0PHjwYUjsAEAkEQgD13pQpU2LdBQB1TDiBsLi4WCkpKc7yTp066euvv45K/wAgUgiE\\\n",
       "AAAAbsIdISwuLnZ+vWbNmoD7vvLKK86veYYQQCwQCAEAACIkOTnZ+XWnTp0C1h89enQ0uwMAAREI\\\n",
       "AQAA3IQzQpicnKyioqKQjlGF0UEAscIsowCCcvPNN8swDD355JMB6z777LNq06aNkpKS1K9fP61e\\\n",
       "vdple0lJicaNG6fMzEylpaXp0ksv1b59+6LUcwAIXTRnGV2/fj1hEECtQSAEENAHH3ygr776Sjk5\\\n",
       "OQHrzpkzRxMmTNCkSZO0bt06devWTYMGDdL+/fudde688059+OGHmjt3rpYvX649e/bokksuieYp\\\n",
       "AEBIohkIe/bs6fVYbdu2jeQpAEBQCIQA/Nq9e7duu+02zZ49WwkJCQHrT58+XTfeeKNGjRqljh07\\\n",
       "aubMmUpJSXFOnJCfn6+XX35Z06dP17nnnqtevXrp1Vdf1YoVK/TVV19F+3QAIGg1uQahJG3bti1i\\\n",
       "bQFAsAiEAHxyOBy65ppr9Je//CWoyRHKysq0du1a5ebmOstsNptyc3O1cuVKSdLatWtVXl7uUqdD\\\n",
       "hw5q1aqVsw4AxFo0RwhN0/T5AoCaxqQyAHx6+OGHFR8fr9tvvz2o+gcPHlRlZaWysrJcyrOysvTT\\\n",
       "Tz9JkvLy8pSYmKiGDRt61MnLy/PZdmlpqUpLS53vCwoKgjwLAAAA+MIIIQBJ0uzZs5WWluZ8LV++\\\n",
       "XE899ZRmzZoV0VuiwjVt2jRlZGQ4Xy1btox1lwDUY9EcIQSA2oRACECSNGTIEH3zzTfO14oVK7R/\\\n",
       "/361atVK8fHxio+P1/bt2/WnP/1Jbdq08dpGkyZNFBcX5zFj6L59+5SdnS1Jys7OVllZmY4ePeqz\\\n",
       "jjf33nuv8vPzna+dO3dW63wBwB8CIQCr4JZRAJKk9PR0paenO9+PGTNGF110kUudQYMG6ZprrtGo\\\n",
       "UaO8tpGYmKhevXpp6dKlGjZsmKRfn0NcunSpbr31VklSr169lJCQoKVLl+rSSy+VJG3atEk7duxQ\\\n",
       "//79ffbPbrfLbrdX5xQBIGjhrEMIAHURgRCAV5mZmcrMzHQpS0hIUHZ2tk477TRn2cCBA3XxxRc7\\\n",
       "A9+ECRN07bXXqnfv3urbt6+efPJJFRYWOkNkRkaGRo8erQkTJqhx48Zq0KCBbrvtNvXv31+/+c1v\\\n",
       "au4EAcAPAiEAqyAQAqiWLVu26ODBg873V1xxhQ4cOKCJEycqLy9P3bt316JFi1wmmnniiSdks9l0\\\n",
       "6aWXqrS0VIMGDdKMGTNi0X0A8IpACMAqDJM5jgHUQQUFBZo+fToXYgC8mjx5svLz89WgQYOQ9ktJ\\\n",
       "SVFxcbH27NkT9L4FBQXKyclRcnKyioqKwukuAMQMk8oAAAAAgEVxyygAAIAbbhkFYBUEQgAAADcE\\\n",
       "QgBWQSAEAABwQyAEYBUEQgAAADcEQgBWQSAEAABwQyAEYBXMMgoAAAAAFsUIIQAAgBtGCAFYBYEQ\\\n",
       "AADADYEQgFUQCAEAANwQCAFYBYEQAADADYEQgFUQCAEAANwQCAFYBbOMAgAAAIBFMUIIoE4yTTPW\\\n",
       "XQBQy1Xn/xPHjh0LeuTv2LFjYR8HAGLNMLmqAlAH7dq1Sy1btox1NwDUYjt37lSLFi1C2qdTp07a\\\n",
       "sGFDWMfr2LGjfvzxx7D2BYBYIRACqJMcDof27Nmj9PR0Sz+/U1BQoJYtW2rnzp1q0KBBrLsTM3wO\\\n",
       "v+Jz+JVpmjp27JhycnJks4X+dEynTp20devWkPZp27YtYRBAncQtowDqJJvNFvJf/uuzBg0aWDoA\\\n",
       "VOFz+BWfg5SRkRH2vgQ7AFbCpDIAAAAAYFEEQgAAAACwKAIhANRhdrtdkyZNkt1uj3VXYorP4Vd8\\\n",
       "DgCAUDGpDAAAAABYFCOEAAAAAGBRBEIAAAAAsCgCIQAAAABYFIEQAGqR8vJy3X333erSpYtSU1OV\\\n",
       "k5OjkSNHas+ePQH3ffbZZ9WmTRslJSWpX79+Wr16tcv2kpISjRs3TpmZmUpLS9Oll16qffv2RetU\\\n",
       "qiXQubibO3euOnTooKSkJHXp0kULFy502W6apiZOnKjmzZsrOTlZubm52rx5czRPodqmTZumPn36\\\n",
       "KD09Xc2aNdOwYcO0adOmgPvVx88CABA9BEIAqEWKioq0bt063X///Vq3bp3ef/99bdq0SUOGDPG7\\\n",
       "35w5czRhwgRNmjRJ69atU7du3TRo0CDt37/fWefOO+/Uhx9+qLlz52r58uXas2ePLrnkkmifUsiC\\\n",
       "OZcTrVixQiNGjNDo0aO1fv16DRs2TMOGDdMPP/zgrPPII4/o6aef1syZM7Vq1SqlpqZq0KBBKikp\\\n",
       "qanTCtny5cs1btw4ffXVV1q8eLHKy8t13nnnqbCw0Oc+9fWzAABEkQkAqNVWr15tSjK3b9/us07f\\\n",
       "vn3NcePGOd9XVlaaOTk55rRp00zTNM2jR4+aCQkJ5ty5c511Nm7caEoyV65cGb3OhyHQubi7/PLL\\\n",
       "zcGDB7uU9evXz7zppptM0zRNh8NhZmdnm48++qhz+9GjR0273W6+9dZbUTiD6Ni/f78pyVy+fLnP\\\n",
       "Olb5LAAAkcMIIQDUcvn5+TIMQw0bNvS6vaysTGvXrlVubq6zzGazKTc3VytXrpQkrV27VuXl5S51\\\n",
       "OnTooFatWjnr1AbBnIu7lStXutSXpEGDBjnrb926VXl5eS51MjIy1K9fv1p17oHk5+dLkho3buyz\\\n",
       "jlU+CwBA5BAIAaAWKykp0d13360RI0aoQYMGXuscPHhQlZWVysrKcinPyspSXl6eJCkvL0+JiYke\\\n",
       "ofLEOrVBMOfiLi8vL+C5V5UF22Zt43A4NH78eP32t79V586dfdazwmcBAIgsAiEAxNDs2bOVlpbm\\\n",
       "fH3++efObeXl5br88stlmqaee+65GPYSsTZu3Dj98MMPevvtt2PdFQBAPRMf6w4AgJUNGTJE/fr1\\\n",
       "c74/6aSTJP1fGNy+fbs++eQTn6ODktSkSRPFxcV5zBi6b98+ZWdnS5Kys7NVVlamo0ePuowSnlin\\\n",
       "NgjmXNxlZ2cHPPeqsubNm7vU6d69ewR7Hx233nqr/vOf/+izzz5TixYt/Nat758FACDyGCEEgBhK\\\n",
       "T09Xu3btnK/k5GRnGNy8ebOWLFmizMxMv20kJiaqV69eWrp0qbPM4XBo6dKl6t+/vySpV69eSkhI\\\n",
       "cKmzadMm7dixw1mnNgjmXNz179/fpb4kLV682Fm/bdu2ys7OdqlTUFCgVatW1apzd2eapm699VZ9\\\n",
       "8MEH+uSTT9S2bduA+9TXzwIAEEWxntUGAPB/ysrKzCFDhpgtWrQwv/nmG3Pv3r3OV2lpqbPeueee\\\n",
       "a/7zn/90vn/77bdNu91uzpo1y9ywYYM5ZswYs2HDhmZeXp6zzs0332y2atXK/OSTT8w1a9aY/fv3\\\n",
       "N/v371+j5xeMQOdyzTXXmPfcc4+z/pdffmnGx8ebjz32mLlx40Zz0qRJZkJCgvn999876/zjH/8w\\\n",
       "GzZsaM6fP9/87rvvzKFDh5pt27Y1i4uLa/z8gjV27FgzIyPD/PTTT11+DoqKipx1rPJZAACih0AI\\\n",
       "ALXI1q1bTUleX8uWLXPWa926tTlp0iSXff/5z3+arVq1MhMTE82+ffuaX331lcv24uJi85ZbbjEb\\\n",
       "NWpkpqSkmBdffLG5d+/eGjir0Pk7lwEDBpjXXnutS/133nnHbN++vZmYmGh26tTJXLBggct2h8Nh\\\n",
       "3n///WZWVpZpt9vNgQMHmps2baqJUwmbr5+DV1991VnHKp8FACB6DNM0zdiMTQIAAAAAYolnCAEA\\\n",
       "AADAogiEAAAAAGBRBEIAAAAAsCgCIQAAAABYFIEQAAAAACyKQAgAAAAAFkUgBAAAAACLIhACAAAA\\\n",
       "gEURCAEAdcLLL7+s8847L+rHWbRokbp37y6HwxH1YwEAEGsEQgBArVdSUqL7779fkyZNivqxzj//\\\n",
       "fCUkJGj27NlRPxYAALFGIAQA1HrvvvuuGjRooN/+9rc1crzrrrtOTz/9dI0cCwCAWCIQAgBqzIED\\\n",
       "B5Sdna2HHnrIWbZixQolJiZq6dKlPvd7++23ddFFF7mUnXPOORo/frxL2bBhw3Tdddc537dp00YP\\\n",
       "PvigRo4cqbS0NLVu3Vr//ve/deDAAQ0dOlRpaWnq2rWr1qxZ49LORRddpDVr1mjLli3hnywAAHUA\\\n",
       "gRAAUGOaNm2qV155RZMnT9aaNWt07NgxXXPNNbr11ls1cOBAn/t98cUX6t27d1jHfOKJJ/Tb3/5W\\\n",
       "69ev1+DBg3XNNddo5MiRuvrqq7Vu3TqdcsopGjlypEzTdO7TqlUrZWVl6fPPPw/rmAAA1BUEQgBA\\\n",
       "jfrDH/6gG2+8UVdddZVuvvlmpaamatq0aT7rHz16VPn5+crJyQn7eDfddJNOPfVUTZw4UQUFBerT\\\n",
       "p4+GDx+u9u3b6+6779bGjRu1b98+l/1ycnK0ffv2sI4JAEBdQSAEANS4xx57TBUVFZo7d65mz54t\\\n",
       "u93us25xcbEkKSkpKaxjde3a1fl1VlaWJKlLly4eZfv373fZLzk5WUVFRWEdEwCAuoJACACocVu2\\\n",
       "bNGePXvkcDi0bds2v3UzMzNlGIaOHDkSsN3KykqPsoSEBOfXhmH4LHNfZuLw4cNq2rRpwGMCAFCX\\\n",
       "EQgBADWqrKxMV199ta644go98MADuuGGGzxG506UmJiojh07asOGDR7b3G/z/OWXXyLSx5KSEm3Z\\\n",
       "skU9evSISHsAANRWBEIAQI3629/+pvz8fD399NO6++671b59e11//fV+9xk0aJC++OILj/L58+fr\\\n",
       "/fff15YtW/T3v/9dGzZs0Pbt27V79+5q9fGrr76S3W5X//79q9UOAAC1HYEQAFBjPv30Uz355JN6\\\n",
       "/fXX1aBBA9lsNr3++uv6/PPP9dxzz/ncb/To0Vq4cKHy8/NdygcPHqxHHnlEHTt21GeffaYZM2Zo\\\n",
       "9erVev3116vVz7feektXXXWVUlJSqtUOAAC1nWGeOM82AAC11PDhw9WzZ0/de++9kn5dh7B79+56\\\n",
       "8sknI3qcgwcP6rTTTtOaNWvUtm3biLYNAEBtwwghAKBOePTRR5WWlhb142zbtk0zZswgDAIALIER\\\n",
       "QgBAnRStEUIAAKyEQAgAAAAAFsUtowAAAABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAsikAIAAAA\\\n",
       "ABZFIAQAAAAAiyIQAgAAAIBFEQgBAAAAwKIIhAAAAABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAs\\\n",
       "ikAIAAAAABZFIAQAAAAAi/p/vBLbOlAxoZAAAAAASUVORK5CYII=\\\n",
       "\"\n",
       "  frames[48] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAZvtJREFUeJzt3Xd8VFXi///3nZDewAAJkSpFQJp0bFhYs7soYkW/KqgIFlAR\\\n",
       "XV12VxB0xQrqR5G1NxYBV8XCsiIgRRAlERUpsgiIQOgkkJ7M/f3BL7OZmpnJTCbJfT0fj3mYnHvu\\\n",
       "uWeGIPedc+45hmmapgAAAAAAlmOLdAcAAAAAAJFBIAQAAAAAiyIQAgAAAIBFEQgBAAAAwKIIhAAA\\\n",
       "AABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAsikAIAAAAABZFIAQAAAAAiyIQAgAAAIBFEQgBAAAA\\\n",
       "wKIIhAAAAABgUQRCAAAAALAoAiEAIChffvmlDMPQl19+GemuIMS++eYbxcTEaNeuXbV+7cOHDysx\\\n",
       "MVGLFi2q9WsDgBURCAEAPs2aNUtvvvlmpLsRlH/+85969tlnI90NSZLdbteTTz6pdu3aKS4uTj16\\\n",
       "9NDcuXP9Pv/YsWMaO3asmjVrpsTERF1wwQXKyclxqzdv3jzdcMMN6tixowzD0Pnnnx9wX//617/q\\\n",
       "uuuuU5s2bQI+t6bS0tJ066236qGHHqr1awOAFRmmaZqR7gQAoO7q1q2bmjZt6jYSaLfbVVpaqpiY\\\n",
       "GNlsdfP3i5dccok2btyonTt3RrormjRpkh5//HGNGTNG/fr108KFC/XZZ59p7ty5uvbaa32ea7fb\\\n",
       "de655+r777/Xn/70JzVt2lSzZs3S7t27lZ2drY4dOzrqnn/++crOzla/fv20YcMG9ejRI6BR3A0b\\\n",
       "NujMM8/UmjVrNGjQoGDfbo1s3rxZXbt21dKlS3XhhRdGpA8AYBUEQgDwQ0FBgRITEyPdjYjwFgjr\\\n",
       "g7oSCPfs2aN27dpp7NixeuGFFyRJpmlq8ODB2rFjh3bu3KmoqCiv58+fP18jRozQggULdNVVV0mS\\\n",
       "Dh48qE6dOukPf/iD/vnPfzrq7t69W6eeeqpsNltQf3b33HOPPvroI+3cuVOGYQT3hkOge/fuOvPM\\\n",
       "M/X2229HrA8AYAV181e6ABBGe/bs0ejRo5WZmanY2Fi1a9dOd9xxh0pLSyVJb775pgzD0IoVK3Tn\\\n",
       "nXeqefPmatmypeP8WbNm6YwzzlBsbKwyMzM1btw4HTt2zOka27Zt05VXXqmMjAzFxcWpZcuWuvba\\\n",
       "a5WXl+eos2TJEp1zzjlq3LixkpKSdPrpp+svf/lLtf3357ySkhJNmTJFHTp0UGxsrFq1aqUHHnhA\\\n",
       "JSUlbu29++676t+/vxISEtSkSROdd955+vzzzyVJbdu21U8//aQVK1bIMAynKYjeniFcsGCB+vTp\\\n",
       "o/j4eDVt2lQ33HCD9uzZ41TnpptuUlJSkvbs2aPhw4crKSlJzZo10/3336+KiopqP4OFCxdq6NCh\\\n",
       "jj/D9u3b65FHHnE69/zzz9dnn32mXbt2Ofretm1br23edNNNjnqur4cffrjaPlXX37KyMt15552O\\\n",
       "MsMwdMcdd+i3337T2rVrfZ7//vvvKz09XVdccYWjrFmzZrrmmmu0cOFCpz/XVq1a1WjE9qOPPtKF\\\n",
       "F17oFga9fQ5t27bVTTfd5Pi+8u/P6tWrdffdd6tZs2Zq3LixbrvtNpWWlurYsWMaOXKkmjRpoiZN\\\n",
       "muiBBx6Qp99N/+53v9Mnn3zi8RgAIHQaRboDAFCb9u7dq/79+zuex+rcubP27Nmj999/X4WFhYqJ\\\n",
       "iXHUvfPOO9WsWTNNnjxZBQUFkqSHH35YU6dO1ZAhQ3THHXdo69ateumll/Ttt9/qq6++UnR0tEpL\\\n",
       "S5WVlaWSkhLdddddysjI0J49e/Tpp5/q2LFjSk1N1U8//aRLLrlEPXr00LRp0xQbG6v//ve/+uqr\\\n",
       "r3z235/z7Ha7hg0bptWrV2vs2LHq0qWLfvzxR82cOVM///yzPvroI0fdqVOn6uGHH9ZZZ52ladOm\\\n",
       "KSYmRuvWrdOyZct08cUX69lnn9Vdd92lpKQk/fWvf5Ukpaene+3fm2++qZtvvln9+vXT9OnTtX//\\\n",
       "fj333HP66quv9N1336lx48aOuhUVFcrKytKAAQP09NNP64svvtAzzzyj9u3b64477vD5Obz55ptK\\\n",
       "SkrSxIkTlZSUpGXLlmny5MnKz8/XU089Jenkc3B5eXn67bffNHPmTElSUlKS1zZvu+02DRkyxKls\\\n",
       "8eLFmjNnjpo3b+4oO3TokM++VUpOTlZsbKwk6bvvvlNiYqK6dOniVKd///6O4+ecc47Xtr777jv1\\\n",
       "7t3bLej1799fL7/8sn7++Wd1797dr375smfPHv3666/q3bt3jduq/NmfOnWqvv76a7388stq3Lix\\\n",
       "1qxZo9atW+uxxx7TokWL9NRTT6lbt24aOXKk0/l9+vTRzJkz9dNPP6lbt2417g8AwAsTACxk5MiR\\\n",
       "ps1mM7/99lu3Y3a73TRN03zjjTdMSeY555xjlpeXO44fOHDAjImJMS+++GKzoqLCUf7CCy+YkszX\\\n",
       "X3/dNE3T/O6770xJ5oIFC7z2Y+bMmaYk8+DBgwH135/z3nnnHdNms5mrVq1yKp89e7Ypyfzqq69M\\\n",
       "0zTNbdu2mTabzbz88sud3o9p/u+zME3TPOOMM8zBgwe7XWf58uWmJHP58uWmaZpmaWmp2bx5c7Nb\\\n",
       "t25mUVGRo96nn35qSjInT57sKBs1apQpyZw2bZpTm2eeeabZp08f3x+CaZqFhYVuZbfddpuZkJBg\\\n",
       "FhcXO8qGDh1qtmnTptr2PNm2bZuZmppq/u53v3P6OZDk1+uNN95w6sdpp53mdo2CggJTkvnnP//Z\\\n",
       "Z18SExPNW265xa38s88+MyWZixcv9nietz87b7744gtTkvnJJ5+4HZNkTpkyxa28TZs25qhRoxzf\\\n",
       "V/79ycrKcvo5GjRokGkYhnn77bc7ysrLy82WLVt67OOaNWtMSea8efP87j8AIHBMGQVgGXa7XR99\\\n",
       "9JEuvfRS9e3b1+246xS5MWPGOD3X9cUXX6i0tFQTJkxwGqkZM2aMUlJS9Nlnn0mSUlNTJUn/+c9/\\\n",
       "VFhY6LEvlSNlCxculN1u9/s9+HPeggUL1KVLF3Xu3FmHDh1yvCoX51i+fLmkk1MD7Xa7Jk+e7Dby\\\n",
       "FMyzY+vXr9eBAwd05513Ki4uzlE+dOhQde7c2fH5VHX77bc7fX/uuefql19+qfZa8fHxjq+PHz+u\\\n",
       "Q4cO6dxzz1VhYaG2bNkScN9dFRQU6PLLL1eTJk00d+5cp5+DJUuW+PXKyspynFNUVOQYLayq8nMq\\\n",
       "Kiry2Z+anu+vw4cPS5KaNGlS47ZGjx7t9HM0YMAAmaap0aNHO8qioqLUt29fj3/mlX3wd0QWABAc\\\n",
       "powCsIyDBw8qPz/f7+ln7dq1c/q+ck+2008/3ak8JiZGp512muN4u3btNHHiRM2YMUNz5szRueee\\\n",
       "q2HDhumGG25whMURI0bo1Vdf1a233qo///nPuuiii3TFFVfoqquu8vn8lz/nbdu2TZs3b1azZs08\\\n",
       "tnHgwAFJ0vbt22Wz2dS1a1e/Po/qePt8JKlz585avXq1U1lcXJxbH5s0aaKjR49We62ffvpJf/vb\\\n",
       "37Rs2TLl5+c7Hav6nGawxowZo+3bt2vNmjVKS0tzOuY6rdQf8fHxHp/fLC4udhwP5/mBMkPw3F7r\\\n",
       "1q2dvq/82W/VqpVbuac/88o+RHJhGwCwAgIhAHhRk5vsZ555RjfddJMWLlyozz//XHfffbemT5+u\\\n",
       "r7/+Wi1btlR8fLxWrlyp5cuX67PPPtPixYs1b948XXjhhfr888+9rjjpz3l2u13du3fXjBkzPLbh\\\n",
       "ekMeKb5W1fTl2LFjGjx4sFJSUjRt2jS1b99ecXFxysnJ0YMPPhjQiKsnzz33nObOnat3331XvXr1\\\n",
       "cjuem5vrVzupqamOn6EWLVpo+fLlMk3TKeDs27dPkpSZmemzrRYtWjjqVuXv+f6qDL/+hPJK3sKj\\\n",
       "tz9fT+We2qjsQ9OmTf3uCwAgcEwZBWAZzZo1U0pKijZu3BjU+ZWbdG/dutWpvLS0VDt27HDbxLt7\\\n",
       "9+7629/+ppUrV2rVqlXas2ePZs+e7Thus9l00UUXacaMGdq0aZP+/ve/a9myZY4pnd5Ud1779u11\\\n",
       "5MgRXXTRRRoyZIjbq3IEr3379rLb7dq0aZPP6/k7QuPt86ksC9Um519++aUOHz6sN998U/fcc48u\\\n",
       "ueQSDRkyxOM0x0BHl1atWqX7779fEyZM0PXXX++xTosWLfx6zZs3z3FOr169VFhYqM2bNzu1tW7d\\\n",
       "OsdxX3r16qWcnBy3sLtu3TolJCSoU6dOAb1Pbzp37ixJ2rFjh8fjx48fdyurHHEOtco+uC7EAwAI\\\n",
       "LQIhAMuw2WwaPny4PvnkE61fv97teHXT5IYMGaKYmBg9//zzTnVfe+015eXlaejQoZKk/Px8lZeX\\\n",
       "O53bvXt32Ww2x7S/I0eOuLVfGQo8TQ2s5M9511xzjfbs2aNXXnnFrW5RUZFjxdThw4fLZrNp2rRp\\\n",
       "bkGj6vtLTEx021bDk759+6p58+aaPXu203v497//rc2bNzs+n5qqHGGq2sfS0lLNmjXLrW5iYqLf\\\n",
       "U0j37duna665Ruecc45jpVJPgnmG8LLLLlN0dLRTH03T1OzZs3XqqafqrLPOcurHli1bVFZW5ii7\\\n",
       "6qqrtH//fn3wwQeOskOHDmnBggW69NJLPT5fGIxTTz1VrVq18vj3Q5LbFiP//ve/VVxcHJatIbKz\\\n",
       "s5Wamqozzjgj5G0DAP6HKaMALOWxxx7T559/rsGDBzu2ZNi3b58WLFig1atXO22L4KpZs2aaNGmS\\\n",
       "pk6dqt///vcaNmyYtm7dqlmzZqlfv3664YYbJEnLli3T+PHjdfXVV6tTp04qLy/XO++8o6ioKF15\\\n",
       "5ZWSpGnTpmnlypUaOnSo2rRpowMHDmjWrFlq2bKlz+0H/Dnvxhtv1Pz583X77bdr+fLlOvvss1VR\\\n",
       "UaEtW7Zo/vz5+s9//qO+ffuqQ4cO+utf/6pHHnlE5557rq644grFxsbq22+/VWZmpqZPny7p5PL/\\\n",
       "L730kh599FF16NBBzZs3dyxQU1V0dLSeeOIJ3XzzzRo8eLCuu+46x7YTbdu21b333hvsH5uTs846\\\n",
       "S02aNNGoUaN09913yzAMvfPOOx5DSZ8+fTRv3jxNnDhR/fr1U1JSki699FKP7d599906ePCgHnjg\\\n",
       "Ab333ntOx3r06KEePXpICu4ZwpYtW2rChAl66qmnVFZWpn79+umjjz7SqlWrNGfOHKdplJMmTdJb\\\n",
       "b72lHTt2OPZNvOqqqzRw4EDdfPPN2rRpk5o2bapZs2apoqJCU6dOdbrWypUrtXLlSkknn5stKCjQ\\\n",
       "o48+Kkk677zzdN555/ns62WXXaYPP/zQbXqrJG3evFl//OMfNWzYMO3du1fPPfecUlNTtWbNGs2d\\\n",
       "O1fXXXddwJ+NN0uWLNGll17KM4QAEG6RWNoUACJp165d5siRI81mzZqZsbGx5mmnnWaOGzfOLCkp\\\n",
       "MU3zf8vme9qawjRPbjPRuXNnMzo62kxPTzfvuOMO8+jRo47jv/zyi3nLLbeY7du3N+Pi4sxTTjnF\\\n",
       "vOCCC8wvvvjCUWfp0qXmZZddZmZmZpoxMTFmZmamed1115k///yzz777e15paan5xBNPmGeccYYZ\\\n",
       "GxtrNmnSxOzTp485depUMy8vz6nu66+/bp555pmOeoMHDzaXLFniOJ6bm2sOHTrUTE5ONiU5tghw\\\n",
       "3Xai0rx58xztnXLKKeb1119v/vbbb051Ro0aZSYmJrq9vylTppj+/NP01VdfmQMHDjTj4+PNzMxM\\\n",
       "84EHHjD/85//uPXnxIkT5v/7f//PbNy4sSnJ5xYUgwcP9rqFhKftFgJVUVFhPvbYY2abNm3MmJgY\\\n",
       "84wzzjDfffddt3qVW3Ls2LHDqfzIkSPm6NGjzbS0NDMhIcEcPHiwx5/Rys8w2PeRk5NjSnLbtkSS\\\n",
       "OXHiRPPqq6824+PjzRYtWpgvvPCCOXv2bDMhIcG89dZbTdP0/vensl+uW6Z4+lnYvHmzKcnp7wwA\\\n",
       "IDwM0wzDPA8AAFBvXXTRRcrMzNQ777zjKDMMQ1OmTNHDDz8c9utPmDBBK1euVHZ2NiOEABBmPEMI\\\n",
       "AACcPPbYY5o3b55jK5HadPjwYb366qt69NFHCYMAUAt4hhAAADgZMGCASktLI3LttLQ0nThxIiLX\\\n",
       "BgArYoQQAAAAACyKEUIAAFAtlhwAgIaJEUIAAAAAsCgCIQAAAABYFFNGAdRLdrtde/fuVXJyMisR\\\n",
       "AnBimqaOHz+uzMxM2WyB/+67S5cu2rlzZ0DntG3bVps3bw74WgAQaexDCKBe+u233/Tqq69GuhsA\\\n",
       "6qipU6dq9+7datmyZUDndenSRVu2bAnqmp07dyYUAqh3GCEEUC8lJydLEqODALyq/P9EIAIdGQz2\\\n",
       "XE//76r8Hf0VV1yhDz/80ON5/B4fQKgRCAHUSwRBANWp6f8n/D0/1CHt008/DWl7AOALgRAAAMCF\\\n",
       "YRgBBcpAQ2HV+q7XKS0t9difyv8ySggglFhlFAAAwEVlIPT3JUnFxcWKj493vPr06RPyfsXFxYW8\\\n",
       "TQDWxgghAACAi0BHCCsVFxc7vs7JyQlJX7p06eL4uqioKCRtAkAlAiEAAICLYANh1RG8rl271rgf\\\n",
       "V1xxhWPVU0YHAYQDgRAAAMBFMIEwLi4upCN4rquNMjoIIBx4hhAAAKCOcQ2DLCQDIFwIhAAAAC6C\\\n",
       "WVQmEKmpqW7nVn7vaR/CymMXXnhhjd8bAFTFlFEAAAAXwQY9f+Xn53s95m1Teklavnx5OLoDwMII\\\n",
       "hAAAAC7CHQiZAgqgriAQAgAAuAh3IASAuoJACAAA4IJACMAqWFQGAAAAACyKEUIAAAAXjBACsApG\\\n",
       "CAH47fHHH5dhGJowYYLPegsWLFDnzp0VFxen7t27a9GiRU7HTdPU5MmT1aJFC8XHx2vIkCHatm1b\\\n",
       "GHsOAIEJ97YTAFBXEAgB+OXbb7/VP/7xD/Xo0cNnvTVr1ui6667T6NGj9d1332n48OEaPny4Nm7c\\\n",
       "6Kjz5JNP6vnnn9fs2bO1bt06JSYmKisrS8XFxeF+GwDgFwIhAKsgEAKo1okTJ3T99dfrlVdeUZMm\\\n",
       "TXzWfe655/T73/9ef/rTn9SlSxc98sgj6t27t1544QVJJ0cHn332Wf3tb3/TZZddph49eujtt9/W\\\n",
       "3r179dFHH9XCuwGA6hEIAVgFgRBAtcaNG6ehQ4dqyJAh1dZdu3atW72srCytXbtWkrRjxw7l5uY6\\\n",
       "1UlNTdWAAQMcdTwpKSlRfn6+0wsAwoVACMAqCIQAfHrvvfeUk5Oj6dOn+1U/NzdX6enpTmXp6enK\\\n",
       "zc11HK8s81bHk+nTpys1NdXxatWqVSBvAwAAAB4QCAF4tXv3bt1zzz2aM2eO4uLiItqXSZMmKS8v\\\n",
       "z/HavXt3RPsDoGFjhBCAVbDtBACvsrOzdeDAAfXu3dtRVlFRoZUrV+qFF15QSUmJoqKinM7JyMjQ\\\n",
       "/v37ncr279+vjIwMx/HKshYtWjjV6dWrl9e+xMbGKjY2tqZvCQD8QtADYBWMEALw6qKLLtKPP/6o\\\n",
       "DRs2OF59+/bV9ddfrw0bNriFQUkaNGiQli5d6lS2ZMkSDRo0SJLUrl07ZWRkONXJz8/XunXrHHUA\\\n",
       "oC5gdBCAFTBCCMCr5ORkdevWzaksMTFRaWlpjvKRI0fq1FNPdTxjeM8992jw4MF65plnNHToUL33\\\n",
       "3ntav369Xn75ZUly7GP46KOPqmPHjmrXrp0eeughZWZmavjw4bX6/gDAm0DCHqEQQH1GIARQI7/+\\\n",
       "+qtstv9NNjjrrLP0z3/+U3/729/0l7/8RR07dtRHH33kFCwfeOABFRQUaOzYsTp27JjOOeccLV68\\\n",
       "OOLPKQJAJQIhAKswTNM0I90JAAhUfn6+ZsyYwY0YAI8efvhh5eXlKSUlJaDz4uPjVVxcrKZNmzr9\\\n",
       "sssXu92uQ4cOKS4uTkVFRcF0FwAihmcIAQAAAMCimDIKAADggimjAKyCQAgAAOCCQAjAKgiEABq8\\\n",
       "KVOmRLoLAEJo6tSpYb8GgRCAVRAIAQAAXBAIAVgFgRAAAMAFgRCAVbDKKAAAAABYFCOEAAAALhgh\\\n",
       "BGAVBEIAAAAXBEIAVkEgBAAAcEEgBGAVBEIAAAAXBEIAVkEgBAAAcEEgBGAVrDIKAAAAABbFCCEA\\\n",
       "AIALRggBWAWBEAAAwAWBEIBVEAgBAABcEAgBWAWBEAAAwAWBEIBVEAgBAAA8IOgBsAJWGQUAAAAA\\\n",
       "i2KEEAAAwAVTRgFYBYEQAADABYEQgFUQCAEAAFwQCAFYBYEQAADABYEQgFUQCAEAAFwQCAFYBYEQ\\\n",
       "AADABYEQgFWw7QQAAAAAWBQjhAAAAC4YIQRgFQRCAAAAFwRCAFbBlFEAAAAXlYHQ31co2q8qJycn\\\n",
       "JNcBgOoQCAEAAFyEOxBWp0+fPh7Lu3TpEvJrAbA2powCAAC4CPeUUdM0vZ6fk5PjVi8mJkZlZWXa\\\n",
       "smVLwNcCAF8YIQQAAKhDPI0OlpaWRqAnAKyAQAgAAOAimCmjxcXFio+Pd7y8TfsEgLqEKaMAAAAu\\\n",
       "gp0yWlxc7Pi66tRPAKirCIQAAAAugg2EcXFxjq+7du0a8n4BQKgRCAEAAFwEEwjj4uJUVFRU42tn\\\n",
       "Z2e7TTeNj4+vcbsA4AmBEAAAwEW4VxlNTU1Vfn6+x3Z8rUDauXPngK8FAL6wqAwAAEAtcw2DrrKz\\\n",
       "sz2Wb968ORzdAWBhjBACAAC4qM19CD3p3bt3tXUAIBQIhAAAAB4EE/QAoL4hEAIAALgI9wghANQV\\\n",
       "BEIAAAAXBEIAVkEgBAAAcEEgBGAVBEIAAAAXBEIAVsG2EwAAAABgUYwQAgAAuGCEEIBVEAgBAABc\\\n",
       "EAgBWAWBEAAAwAWBEIBVEAgBAABcEAgBWAWBEAAAwAWBEIBVsMooAAAAAFgUI4QAUId5G3kwTbOW\\\n",
       "exJZNRmBqe6zstrojtV+doLFCCEAqyAQAgDqtJoEmOpu1F988cWg20bDRiAEYBUEQgCoZ6w2wlNS\\\n",
       "UhL0uRUVFV6PlZWVafz48UG3jYaNQAjAKgiEAFBPNGrUSGVlZZHuRq2LiYmp9nhUVJSKi4udwnJu\\\n",
       "bq7PG/Xq2q2voqKiZJqm7HZ7pLtSrxEIAVgFi8oA8Gr69Onq16+fkpOT1bx5cw0fPlxbt26t9rwF\\\n",
       "Cxaoc+fOiouLU/fu3bVo0SKn46ZpavLkyWrRooXi4+M1ZMgQbdu2LVxvo14zTdPxsmIYlCSbzfM/\\\n",
       "VY0aNZJpmiopKVFhYaHsdrvT55Wenu61zVDdwD/11FOO63Xv3j0kbQZr7ty5Mk1T5eXlqqiokGma\\\n",
       "Gj16dET7VJ9VBkJ/XwBQXxEIAXi1YsUKjRs3Tl9//bWWLFmisrIyXXzxxSooKPB6zpo1a3Tddddp\\\n",
       "9OjR+u677zR8+HANHz5cGzdudNR58skn9fzzz2v27Nlat26dEhMTlZWVpeLi4tp4W6iHXKd+/vDD\\\n",
       "D0EH5CZNmtSoL99++60jBN5///1OfYrUqOO9996ra6+91q381Vdf1bBhwyLQIwBAfWGYVnsYBUDQ\\\n",
       "Dh48qObNm2vFihU677zzPNYZMWKECgoK9OmnnzrKBg4cqF69emn27NkyTVOZmZm67777HDfTeXl5\\\n",
       "Sk9P15tvvunxptaT/Px8zZgxw6/fzE+ZMsWvNtHw2Wy2Gj2Dabfbff7MlZaWKjY2Nuj2gxXISqoN\\\n",
       "4Z/9qVOnVlvn4YcfVl5enlJSUgJqOz4+XsXFxbrwwgvVqJF/T9aUl5dr2bJliouLU1FRUUDXA4BI\\\n",
       "Y4QQgN/y8vIkSaeccorXOmvXrtWQIUOcyrKysrR27VpJ0o4dO5Sbm+tUJzU1VQMGDHDU8aSkpET5\\\n",
       "+flOL8Bfy5cvl2EYNQ5D1f0CIhIjhD/88EO1dRpCCKxtTBkFYBUEQgB+sdvtmjBhgs4++2x169bN\\\n",
       "a73c3Fy3Z7fS09OVm5vrOF5Z5q2OJ9OnT1dqaqrj1apVq2DfCmpRXbhpttvtuvDCC/2qe+6556p9\\\n",
       "+/Yej7Vr1y6U3QoZf59dNE2T4BIAAiEAqyAQAvDLuHHjtHHjRr333nsRuf6kSZOUl5fneO3evTsi\\\n",
       "/YD/PN0kT58+3ec58+fP14QJE0Laj549e1ZbZ/To0TJNUytXrtR///tfmaap0047zanOL7/8EtJ+\\\n",
       "1VRMTEzAI3+sPBoYwiAAKyAQAqjW+PHj9emnn2r58uVq2bKlz7oZGRnav3+/U9n+/fuVkZHhOF5Z\\\n",
       "5q2OJ7GxsUpJSXF6IXRmzpyp5557LmTtebtJfuONN3yeM2LECD333HMyDEPl5eUh6cs777zj8/jT\\\n",
       "Tz+tV1991a18+/btmjt3rpKTkwPaC9HX3oe+7NmzR6ZpqqKiQp06dfJaLyUlxbG6KsKHEUIAVkEg\\\n",
       "BOCVaZoaP368PvzwQy1btsyvKXODBg3S0qVLncqWLFmiQYMGSTo57S4jI8OpTn5+vtatW+eog9r3\\\n",
       "1FNP6cknnwxJW40bN/Z6bNOmTR7Lk5OT3cqio6N9Xsffm/FevXp5PTZy5Ejdd999Xo9fe+21ys/P\\\n",
       "D+jZQJvNppdeesnv+p06dXIstlR5/tatWx0rmVbdRsI0TcezvAAAhAKBEIBX48aN07vvvqt//vOf\\\n",
       "Sk5OVm5urnJzc51W0Rs5cqQmTZrk+P6ee+7R4sWL9cwzz2jLli16+OGHtX79eo0fP17SyZv4CRMm\\\n",
       "6NFHH9XHH3+sH3/8USNHjlRmZqaGDx9e228R/7+9e/dqz549ftfv06ePbDabGjdurMOHD0uSiouL\\\n",
       "ZRiGz8DibdXGEydOBNRf1xBoGIajH56Ypqk77rjDqaywsFBvvfVWQNf11+233+5XKDQMo9q9PaOi\\\n",
       "orzuxYjwYYQQgFXwLwwAr1566SXl5eXp/PPPV4sWLRyvefPmOer8+uuv2rdvn+P7s846S//85z/1\\\n",
       "8ssvq2fPnnr//ff10UcfOS1E88ADD+iuu+7S2LFj1a9fP504cUKLFy9WXFxcrb4/BMcwDOXk5DhG\\\n",
       "q5o2bSrDMBQfHx90m0lJSX7X7dy5s8fypk2b+jxv1qxZThvX16S//rj99ts1ePBgn3V4pq/uIhAC\\\n",
       "sAr/NtgBYEn+LFjx5ZdfupVdffXVuvrqq72eYxiGpk2bpmnTptWke4iA6kJXsI4fP+52U33kyBGP\\\n",
       "dX2NqDVq1Chkzx6GwpdffqmoqKg6FfwaQniZNGlS2Lf4CCToNYTPFIB1MUIIAPCbr2mZ/khISPB6\\\n",
       "zDRNJScnq1GjRiorK1OTJk0Cbr+iosIxLbmu8LbITF0KiXDHCCEAqyAQAgD8UlhYWOM2ioqKfD4P\\\n",
       "l5+fr7KyMq/PGvqrcqXSUGxGHwqmaepvf/ub4/tDhw4RIuo4AiEAqyAQAgD8Eshzfr6YpqlPPvkk\\\n",
       "6PMDHVmrKwuyPPLII47nF9PS0qqtX1hY6Agb/tRHaBEIAVhF3fhXEgBQ54VypG3MmDFBnxvKPQoD\\\n",
       "Udv7/iUmJjq+PnLkSJ0JtgCAhoV/XQAA1Tp69GhI26u6Mm0woqKiZJqmmjVrFqIeeRcbGyvDMBQX\\\n",
       "F1drU1BXr17tVmaapnbu3OmxvrfnFBE8RggBWAWBEABQrQ8++CBkbZWVlYXsBvrAgQMqKCjwWacm\\\n",
       "25nY7XaVlpY6lfkzUlfT0DhgwACP5e3atXMaHW3fvr0Mw1CjRo1kGIb2799fo+vifwiEAKyCQAgA\\\n",
       "qNbNN9/sd93KPQq9vWq6YIyrhIQEmaapP/zhDx6PFxUVBd32Tz/95LHcNSRW6t+/vwzDkM1mq1FI\\\n",
       "iI6O9nmsMoT88ssvTscyMjKCviacEQgBWAWBEABQLZvN5tdIm2maOvPMM2uhR+4WLVok0zTVt29f\\\n",
       "xcbG6qeffqrxSF23bt08lsfGxrqV/fGPf9S3337rVPbYY495bfvVV1+VzWbzGmTrwuqoVkYgBGAV\\\n",
       "BEIAgF+Kioq8Pvv37rvv1pkA8+2336q4uFhdu3atcVu+bvSvuuoqx9eXXHKJ/v3vf7vV+etf/+rx\\\n",
       "3HHjxmnMmDEyTVOLFy/2ep1AP9NILLbTUBEIAVhFaOftAAAatIyMjDoT/GrLpk2bPIbLf/3rX0EH\\\n",
       "gVmzZrmVmabpsT273e7Xc4v5+fmKioqqtl5D+PObOnVqpLsAAA0GgRAAAB+6dOkS9LmBBJcTJ04o\\\n",
       "OTnZrbzymURf+y82hJBX1wQy8scIIYD6jCmjAABUI9iFcCZPnuyx3NOiNJ7CYCVv20r07t2bMBgm\\\n",
       "TBkFYBUEQgBArbrzzjvdbqYXLlwY6W5Jkg4fPuzUr+LiYpmmqZiYmIDaqW6/wujoaNntdsXExDhW\\\n",
       "Sa1OcXGx4+vKc7KzswPqF/xHIARgFUwZBQDUGpvN5jH8DB8+3GP90047Tdu3bw9zr06aP3++RowY\\\n",
       "4VQWHx+v5ORklZWV+d2OvyN2hmGopKTE73ZjY2MZDaxFTBkFYBWMEAIAghJoOImKigr4nF9++cVx\\\n",
       "Y1512qTdbtf48eP1l7/8pdo2WrZs6Whjz549Xuu5hsFKJ06c0LBhw6q9zimnnEJga0AYIQRgFQRC\\\n",
       "AEBAnnrqKafN11u0aFHtOfHx8T4XRfFHo0aNHDffUVFRevHFFzV9+nQZhqHdu3d7PCc6OtopBLZs\\\n",
       "2VJNmzZ1q+drFc+DBw/q/fffd9tjsCrDMHT48OEA3g0AAHUDgRAA4Je3335bhmHogQcecCrPzc31\\\n",
       "ed7AgQOdnn8Lh9atW7uN0vz5z3/2uC9f5XOC+/fvV1FRkddprJL0xhtvKC0tTZLUt29fnX766R7r\\\n",
       "+RN227dvr9NOO63GwRi1gxFCAFbBM4QAAI9atmzpc4plVRUVFV73wFu3bl0ou+WTYRhq3ry5Dhw4\\\n",
       "UG3djIwMn8djYmJ00003OZVt2bJFmZmZ2rdvn+N6/gS8qoGh8nNiemndF66gN2XKFE2bNs2tPDs7\\\n",
       "W7179w7LNQHAGwIhAFjEhg0bVFBQoLPOOsvnjW5qaqry8/MDattbGHz99dcDaicU/AmDvlQX8vbu\\\n",
       "3RtQe9HR0V6vQyisu8K5qIynMChJffr04WcCQK1jyigANHATJkyQYRg688wzdc455zie/Vu6dKlT\\\n",
       "vQMHDsgwjIDDoC/9+/cPWVu1oWXLliGf0ulp2mql9957L6TX8qVymwv4pzamjJqm6XgBQKQQCAGg\\\n",
       "gXvuuec8lg8ZMsTphjY9PT3k1+7WrVvI2wwnb4vThMsnn3xSK9f5/PPPFRUVFdD2GVYXTCAsLi5W\\\n",
       "fHy849WnT59qr1H1vwAQCQRCAKjDDMNQSkpK0OcXFhaGsDfBMU1TPXr0COicmJgYlZaW1mr/33rr\\\n",
       "rbC0e+2113o9NmfOnBq1feqpp8owDM2bN89nvaysrBpdx4qCHSEsLi52vHJycjy2/corrzhdpxIj\\\n",
       "hQAigUAIAHXc8ePH/V68xFVCQkIYehS477//3ml6nGmaTvsKVmWapkpKShQdHa34+HiZpul1quNb\\\n",
       "b73laK+6DextNpvPYDpy5Ej/31AA5s6d67F84MCBNWo3KyvL8Tzjtdde61gN1VW4V3iFs7i4OMfL\\\n",
       "2wIxY8aM8VjOSCGASGBRGQCoJ4LZ2F06GbCCudF0vdapp54a8IIqvvja7sFVSUmJTNN07Bf44Ycf\\\n",
       "avjw4U51TjvtNK/v1dt1ioqKFB8f7/Pa5eXlbgvDlJSUBPQ8XjhGfj7//HOn748cOaLLLrtMCxcu\\\n",
       "dCovKCgI+bWtIJhFZeLi4lRUVOT3Nar+XBAGAUQKI4QAUE9ceOGFQZ8byLNjKSkpHgOMv1tQhEvl\\\n",
       "qpymabqFwaqqhsKMjAyfYay6MCh5XiU0NjZW33//ffWdDiNPff/444/dyryNHMI39iEEYBWMEAJA\\\n",
       "PRAVFeW2KmggGjVy/999MKNWZWVlXrdRqEtqY/P3Xr16RfSZr4MHDyopKcmvurGxsSopKQlzjxqW\\\n",
       "cG47UdPzACCUGCEEgDqsoqJCpmn63LogGHl5eUGd16hRIyUmJjqVuU5dbEiqC3yRnI7p+ufgS3Fx\\\n",
       "sc4555ww9qbhCecIobc/uwsuuCAUXQeAgBAIAaAOq3xmrqZWrVrl9P2WLVuCbuvEiROORTGuvPJK\\\n",
       "/e53v6tR3+qy6m70T5w4UUs9qblVq1aximUAwhkIT5w44bbIkmmaWrZsWZjeDQB4RyAEAAs4//zz\\\n",
       "nb7//e9/X6P2Xn75ZZWWlur999+vUTv1XdOmTSPdBQAAaoRnCAHAAlyfqTt69GiN26wPzxKGgq9V\\\n",
       "WqOiomq5N6gttfEMIQDUBYwQAkA9tXXrVqcpa99++22ku9RgeZpqGenpl+3bt4/o9Rs6VhkFYBUE\\\n",
       "QgCoh8rLy9W5c2ensv79+we0FUKwgebAgQMhGWEM1KRJk5SSkqLWrVsHtNdbdcrKyvz6LFyf94qk\\\n",
       "3Nxc/fLLLx6PRbpvDQWBEIBVEAgBoB6Ki4vzWN6rVy+P5UeOHHErC/Qm9rnnnpNhGEpPT9cpp5xS\\\n",
       "azfB6enpMgxDjz/+uI4fP67du3crISFB//nPf2rU7n//+18ZhqGYmBjZbLZ6c1NfWlqqFi1aeD3e\\\n",
       "pk2bWuxNw0UgBGAVBEIAqIcCXX20SZMmTvvQBTqKZLfbNWHCBLfymuyN6I+KigodOHDA47HZs2cH\\\n",
       "3a7dblfHjh3dyhMSEoJus3379o5wEOptQqqKjY31eXz37t1hu7aVEAgBWAWLygBAPVRSUuIxFMbE\\\n",
       "xHg9JyYmJujphGlpaR7Lf/e734V1E/i1a9d6Pfbhhx8G3a63xWCCnYpqs9mcPtvo6GjZ7Xa3oFBe\\\n",
       "Xq6YmBjFxMSouLg44Ot4mybqyjAMpo4CAPzCCCEA1GGGYSg+Pt5txMkwDLcg1qhRI6dRwFDyNkU1\\\n",
       "3Lxtpp6Xl1fLPfHNU/hyDewVFRWKjo6WaZoqKSkJalSpQ4cOftc1DEPdunUL+Bo4iRFCAFZBIASA\\\n",
       "Oq64uFjR0dEaOHCgU3nlKFDlq6ysLGx92Lt3b0DloVQ1+FaOxKWkpPg8JzU11TFKF0lRUVGy2+3a\\\n",
       "tm2bGjVyn5RjGIZmzpypTz/9VImJibLZbJo1a5bX9gId9fvpp5/cwkqgQacuvkpKSjxu7B7KRX8I\\\n",
       "hACsgkAIAPXEunXrInZtwzD0pz/9yaksLi5OGRkZtXLtypv8iooKv+rn5+ervLw84H0Cn3zyyWC7\\\n",
       "6ZHdbldUVJQ6derktc7EiRN16aWXqrCwUKZpaty4cR4Dxrnnnht0PwJ95hQEQgDWwTOEQD23Y8cO\\\n",
       "rVq1Srt27VJhYaGaNWumM888U4MGDYrYND80TE8++aSefPJJFRcX19mfrS5duriVff/99+rZs6df\\\n",
       "57uGXn/52rw+WKmpqY6psSUlJVq9enXQbVVOU61uQRo4I+gBsAICIVBPzZkzR88995zWr1+v9PR0\\\n",
       "ZWZmKj4+XkeOHNH27dsVFxen66+/Xg8++CDL0DcQgY52hUtdDYOStGXLFreyrKws5ebmVnvua6+9\\\n",
       "VqNrhzoU5ufnq127djp06JBOnDjhsc4//vEP/fLLL3riiSeqbS8uLq5O/9nVNYGM/BEcAdRnzCEB\\\n",
       "6qEzzzxTzz//vG666Sbt2rVL+/btU3Z2tlavXq1NmzYpPz9fCxculN1uV9++fbVgwYJIdxk1FKqt\\\n",
       "DFasWOG40T18+HAIela3NG/e3K3M0x6Mntxyyy01vr6vVV6DMXXqVBUWFno8Zpqmxo4dq8cff1wH\\\n",
       "Dx70q71gVjYFADRsjBAC9dDjjz+urKwsr8djY2N1/vnn6/zzz9ff//537dy5s/Y6h5DytHVBsObP\\\n",
       "n68RI0Y4vm/atKmGDx9eo+0b6ppdu3YpPj7eqcx1sZ3LL788bNcvLS0NWVuVC6OkpKS49dl1e4ym\\\n",
       "TZuG7Lo4iRFCAFbBCCFQD/kKg67S0tLUp0+fMPYG4RTKG81rr73Wreyjjz4KWft1gT9TIgN5z2Vl\\\n",
       "Zerdu7dfo4yffPKJ3+1W57zzznN8PWzYMLfjTP0MPxaVAWAVjBACDcSBAwd04MABt2X2e/ToEaEe\\\n",
       "oa6x8kblhmHoqquu0vvvvx/QeZVTQNPS0iR5/gy7d++ujRs31ryTVaxYscLxtT8rhH7//fc+j2/d\\\n",
       "utWx0inhxT+MEAKwCgIhUM9lZ2dr1KhR2rx5s+NmtXKZfsMw/FqmH9Zgs9kivi+fJ5V7C1byFLr2\\\n",
       "7dunVq1aSZJWr17ttidjJV/PWfoKg927d3cr8/RZVYaE1NRUHTt2zGt7NVHd31lP4aN3794e6/bv\\\n",
       "3z+i25XUZwRCAFbBlFGgnrvlllvUqVMnrVmzRr/88ot27Njh9F+gkqeg8cwzz0SgJ//TqFEjtwBo\\\n",
       "GIbi4uL03//+VzfddJMMw1BmZqYqKipUUVGhQYMGyTAMTZo0ya29YBd1+eGHH9zKtm/f7rGuaZph\\\n",
       "C4M2m83jiGDVFWYXL17sdtxb0CcMBo8powCsghFCoJ775Zdf9K9//UsdOnSIdFdQD1SGr3Dsmxeo\\\n",
       "wsJCr6NhJSUl6tixo8/zH3/8cT3++ONq1OjkP2XBrsKamJjosTwSf6e8fR5lZWWOsHjxxRe7Ha+c\\\n",
       "FVCVt5DYEKYOT506NezXYIQQgFUwQgjUcxdddFG1zw8BrnzdwF5xxRUyDENNmjSptp01a9YoPT1d\\\n",
       "7dq106pVqwLqg7cgFqjy8nK/w6Dr+37llVe87vEXrpv8yi1ETNNUbm6unn32WZWWlvoMapWBz1eA\\\n",
       "riolJYWQAgDwCyOEQD336quvatSoUdq4caO6deum6Ohop+OeVigEvMnMzNS+ffskSceOHfM48iSd\\\n",
       "HGVyndpYdWVMV4ZhaPDgwXrmmWd000036ccffwxtx6tRWlrq9nfDH9HR0W7bVtRU1ZG79PR03XPP\\\n",
       "PTVuMzo6WiUlJUpPT9d7770X0ErE8IwRQgBWQSAE6rm1a9fqq6++0r///W+3Yywqg0BVhsGqXBej\\\n",
       "KSsrC/hZPdM09eWXX9b6Fij79u1TRkZG0OdXjtxVt9JnbGys06bvt956q1577bWgrxuMmJgYHT16\\\n",
       "tFav2ZARCAFYBVNGgXrurrvu0g033KB9+/bJbrc7vQiDqFQZagzDCHiqpusIYbALt9S2vLy8GoXB\\\n",
       "SoZhqKCgwGedqmFQOjlyj/qNRWUAWAWBEKjnDh8+rHvvvVfp6emR7grqsKpbOxQWFur//u//Ajr/\\\n",
       "7bffDke3wubhhx9WSkpKyNpLSEhQ8+bNPR7z9uyfp/K8vLyQ9QnhRSAEYBUEQqCeu+KKK7R8+fJI\\\n",
       "dwN1WNu2bd3K7r777oDaGDx4cIh6E34xMTGaMmVKwOfl5+fru+++08aNG3Xs2DG3VTq3bt3qduNf\\\n",
       "3WI2VUfpp02bFtKQ6q/KkWHDMPza5B4nEQgBWAXPEAL1XKdOnTRp0iStXr1a3bt3d1s4I9Abf9Qt\\\n",
       "sbGx6tatm7799tugb+Z37drlsbykpESxsbFOZTExMSotLXWr26ZNG8fXb775pm666aag+hJqrove\\\n",
       "zJgxQ/fee29AbVRdSMebgQMH6sMPP1RRUZEMw1B0dLRfIaDqyGwkzJ8/3+n6DWHLCQBAaBEIgXru\\\n",
       "1VdfVVJSklasWKEVK1Y4HTMMg0BYz5WWlionJ8exMfm0adP00EMPhaTthIQEt+dMO3XqpI0bN/o8\\\n",
       "b9SoUXUiEO7du1ctWrSoURtr1qypNgxK0tdff63zzz9fW7ZsqdH1atuiRYsi3YV6i0VlAFgFc0eA\\\n",
       "em7Hjh1eX7/88ktIrvHiiy+qbdu2iouL04ABA/TNN9/4rL9gwQJ17txZcXFx6t69u9tNqWmamjx5\\\n",
       "slq0aKH4+HgNGTJE27ZtC6pvpmn6fJWUlAQ89asuvVxNnjxZhmEoKSkpqM+rKk8bl3sKgwMHDqzx\\\n",
       "tcIhFAvGnH322X7X/fnnn2t8vdr25ptvRroL9VZDmDL66quv1tm+Aag7CIRAA7Vv3z49+eSTNW5n\\\n",
       "3rx5mjhxoqZMmaKcnBz17NlTWVlZOnDggMf6a9as0XXXXafRo0fru+++0/DhwzV8+HCnoPHkk0/q\\\n",
       "+eef1+zZs7Vu3TolJiYqKyvLbaVGeFdQUOC4Ee3du3fQ7RiGoc2bN8s0TbVr185jnbS0NLeyyhHL\\\n",
       "cLnnnnscod6bL7/8Mqx9cNW4ceNavR4iqyEEwltvvTXSXQBQDxgmDxQA9dott9zisXzXrl365ptv\\\n",
       "dPz48Rq1P2DAAPXr108vvPCCpJOjSq1atdJdd92lP//5z271R4wYoYKCAn366aeOsoEDB6pXr16a\\\n",
       "PXu2TNNUZmam7rvvPt1///2STq68mJ6erjfffFPXXnutX/3Kz8/XjBkzqq1XWlqq6dOn+9VmfZeQ\\\n",
       "kOC2PUIwewa6MgzDbTTxlVde0dixY2vUri+u/zR5u+Gu7p8w0zQVGxursrIypaSk6PDhw2rU6OTT\\\n",
       "Ep999pkuueSSoPtUn1T9/Orz+6g0derUaus8/PDDysvLC3ghn/j4eBUXF+vBBx90e8bWm5KSEj3x\\\n",
       "xBOKi4tTUVFRQNcLt8o/+4bw5w4gPBghBOq5o0ePOr0OHTqkb775Rl9++aWefvrpGrVdWlqq7Oxs\\\n",
       "DRkyxFFms9k0ZMgQrV271uM5a9eudaovSVlZWY76O3bsUG5urlOd1NRUDRgwwGub8E9hYaEMw9Ap\\\n",
       "p5yiPXv2aNiwYSHZM9DTjeSYMWOCaqtLly6Kj4/3WWfQoEFuZcHs63f8+HHZbDaVlZVJOvlLhOjo\\\n",
       "aCUlJemCCy7wOww2atSo3t9Md+vWLdJdqHcawghhVfWtvwBqD4vKAPXchx9+6LH873//uz766CPd\\\n",
       "dtttQbd96NAhVVRUuO1xmJ6e7nVxjdzcXI/1c3NzHccry7zV8aSkpEQlJSWO7/Pz8/1/IxZz9OhR\\\n",
       "tWzZMuzXadq0qQ4dOuT4vlu3brr//vt1yy23eHw+UTr5fGlKSopat27ttd1ly5a5ld18880ep79t\\\n",
       "375d7du399hOkyZNPJYXFBQENN20IUxl/vHHHwkBFlX5y4zU1FT+vwnAI0YIgQbquuuuq/VnrMJp\\\n",
       "+vTpSk1NdbxatWoV6S5ZiqdRvYMHDzot4PPjjz9q1KhRbiuXVnXGGWeoVatWMk1TW7dudTvepEkT\\\n",
       "xcXFuZV723KjQ4cOHstN0/TZD3+1aNEi6Ocl7XZ7nRpZrEt9qS/q4+igtz4988wzTn9fAaASgRBo\\\n",
       "oL7//nudeeaZNWqjadOmioqK0v79+53K9+/f73WFx4yMDJ/1K/8bSJuSNGnSJOXl5Tleu3fvDvj9\\\n",
       "IHihGCVzfZarU6dOjpvTyvB05MiRgNt9+eWX3cpCtQH70aNH/a47cOBAp5AQFRXl2BS+b9++IelP\\\n",
       "TREE/NcQpoxW7deYMWPqbD8BRBZTRoF6buLEiW5l+/fv18KFCzV06FCn4/4swlJVTEyM+vTpo6VL\\\n",
       "l2r48OGSTo56LF26VOPHj/d4zqBBg7R06VJNmDDBUbZkyRLHc2Ht2rVTRkaGli5dql69ekk6Of1z\\\n",
       "3bp1uuOOO7z2JTY21u8FHhAe3333XY1+yeBrxLomN6q33XabVq1apTfffFNRUVFKTk4Oui1XxcXF\\\n",
       "Mk2z2v5Vdzw7O1uGYRDI6pFAgl5dDlr83AGoDoEQqOe+++47j+X9+vXTgQMHHNtDBHvDMnHiRI0a\\\n",
       "NUp9+/ZV//799eyzz6qgoEA333yzJGnkyJE69dRTHSt53nPPPRo8eLCeeeYZDR06VO+9957Wr1/v\\\n",
       "GMUxDEMTJkzQo48+qo4dO6pdu3Z66KGHlJmZ6QidqJt69+7t143l6aef7rG8Z8+eoe6Sw7vvvqt3\\\n",
       "3303LG3bbDaf7zuQX1Rwc15/1PdAGIoFpQBYA4EQqOeWL18e1vZHjBihgwcPavLkycrNzVWvXr20\\\n",
       "ePFix6Iwv/76q9P0vLPOOkv//Oc/9be//U1/+ctf1LFjR3300UdOqxw+8MADKigo0NixY3Xs2DGd\\\n",
       "c845Wrx4scdnx6pT3Y1YbGxsvb4Br2s3mpdeeqk++eQTr8fT0tK8Tvusa+8lEL6CXGlpacjaQt1R\\\n",
       "3wNh5eq6AFAdAiGAao0fP97rFFFP0wCvvvpqXX311V7bMwxD06ZN07Rp00LVxQarMjgkJSW57TEY\\\n",
       "CZ9++qkMw1DXrl21c+dOFRYW+n1ubm6uWrRoEdR1d+zYEdR5ofTDDz+oR48eIWmLUFj31ddA6GmK\\\n",
       "c13qH4C6h0VlgHro97//vb7++utq6x0/flxPPPGEXnzxxVroFcLpxIkTke6Ck02bNgUUBiXp1FNP\\\n",
       "rbbOyy+/7LgRt9ls6tGjh5o0aaLTTjst2K6GjKcpr+Xl5UG3F6qFbwBXVVcTrbpn6OTJkyPYKwB1\\\n",
       "FSOEQD109dVX68orr1RqaqouvfRS9e3bV5mZmYqLi9PRo0e1adMmrV69WosWLdLQoUP11FNPRbrL\\\n",
       "CIEePXrohx9+iHQ3gla5iugpp5zi8XijRo2ctoqo3MqiLmnRooX27dsXkrZM09TZZ5+tr776KiTt\\\n",
       "IbTq6wihq5dfftnjSrwAUIlACNRDo0eP1g033KAFCxZo3rx5evnll5WXlydJjul8WVlZ+vbbb9Wl\\\n",
       "S5cI9xahkp2drejo6Eh3o0bS0tI8TpX88ccfQ7JvYLjl5uY6fR/sHoWV1qxZU6PzET4NJRACQHUI\\\n",
       "hEA9FRsbqxtuuEE33HCDJCkvL09FRUVKS0ur96EBnjVq1DD+l+3p+blQPZtXG2w2m+x2u6TQ7Ot3\\\n",
       "66236tVXX61xOwgtAiEAq+ABBqCBSE1NVUZGBmGwAfO1muXLL7/s9NxQeXm5jh49qrKyMkeZp+cQ\\\n",
       "K7dUME1TLVu2DGf3nRiGobFjx2r58uV17mbaMAzt2bNHt99+u8fjpmnqsssuk2maIdlw/rXXXqtx\\\n",
       "Gwi9hrAxPQD4g0AIAHVY5eIqhmH43O+u6sIR0smpjI0bN3YaVUxMTNT+/fsd39tsNqdpmrt3767V\\\n",
       "vcteeeUVXXjhhbV2PX+UlZXJbrcrMzNTL730ktcRwI8//lg2m83rPqCRUFBQoDvvvNPrth8ITLgD\\\n",
       "IcESQF1BIASAOs6faYlXXnmlX23t2bPH8XXltMeqavpMXH1QWFjoNJr68ssvq2PHjqqoqPA4LXfd\\\n",
       "unVh79Phw4cDql85Sln5ywLDMJSUlKSXXnpJaWlpWrFiRZh6ilBghVkAdQn/RwKABuCDDz7w6yZz\\\n",
       "wIABTt8fO3bM6fuioqJQdissxo8fr4MHDyo1NTXgcw8dOqT4+HinsjFjxujnn3/2+vn1798/qH4G\\\n",
       "omnTph4DuieVo8Yff/yx118WXHDBBT7Pr++vkpISp1Dv6VVT4RwhrOxfOPoNAIFqGCsUAAAcG1L7\\\n",
       "uqksKytz+r5JkyaSTi5SVFJSEtb+hUJBQYESEhIk/S/MVj4HWZ3o6GilpaUFdV1Pm32HWtXR2djY\\\n",
       "WM2dO1eXX3654/pNmjRxrCZcHYJFzdXGojKu5/HnBiASGCEE6rlRo0Zp5cqVke4G6hBvN6e+RqCC\\\n",
       "DYOJiYkqLy9XYWFh2APT+eef7wiDVdntdo8jLRUVFbr88stlGIbS0tJ8Lsrjj8rwXBtKSkp0xRVX\\\n",
       "OEKJzWbzOwwiNIIZISwuLlZ8fLzj1adPn4CvCQC1jUAI1HN5eXkaMmSIOnbsqMcee8zpGTFYl6cb\\\n",
       "y1A/H5iUlKQTJ04oKipK8fHxstvt2rp1q2JjYxUTE6OePXuqTZs2freXkpLiNBUwPz9fHTt2VFJS\\\n",
       "knbu3Knly5cH1D+bzaYPPvhAdrtdhw4dCvTtufG1WMtzzz3nCKZFRUU655xzany9cDj33HMj3YV6\\\n",
       "I9gpo8XFxY5XTk6Oz2swVRRAXUAgBOq5jz76SHv27NEdd9yhefPmqW3btvrDH/6g999/3216IKyl\\\n",
       "efPmjq8vvfTSkLd/9OhRt7JOnTqpuLhYJSUl2rBhg3bu3On2nKInTz31lPLy8pxWOU1OTtbPP/+s\\\n",
       "48ePBxQsw8lT0I6Pj9fdd9/tOBYXF6dVq1a5bWJf2zyNiK5evToCPamfgg2EcXFxjlfv3r0j+A4A\\\n",
       "wD8EQqABaNasmSZOnKjvv/9e69atU4cOHXTjjTcqMzNT9957r7Zt2xbpLiICDh486LhZ/fTTT0Pa\\\n",
       "9jfffONxRU5PUlNTZZqmx339FixYINM0df/994e0f+HiOu02Pj5ehYWFHuump6f7HPlJT09XeXm5\\\n",
       "SktLfW4pEixPbbK6ZXjFxcWpqKjI8crOzo50lwCgWvzLADQg+/bt05IlS7RkyRJFRUXpj3/8o378\\\n",
       "8Ud17dpVM2fOjHT3UI8cOXLE63N5pmmqX79+AbdZua9f1Wf+rrrqqjD0PnhVR3y6dOnisU7Vz8Nb\\\n",
       "GHSt77oiqmmays3NVVRUlKKjo1VcXOz3KqOBcG2z6r6T8C2cq4x6ugYARAqBEKjnysrK9K9//UuX\\\n",
       "XHKJ2rRpowULFmjChAnau3ev3nrrLX3xxReaP3++pk2bFumuog675JJLnIKOtwVUQjHCVFdvfl3f\\\n",
       "25YtW0LW9rFjx6p9XqxyhdiaLn5T1ccffxyytqymNrad8LccAMKJbSeAeq5Fixay2+267rrr9M03\\\n",
       "36hXr15udS644AI1bty41vuGuu8Pf/iDFi1aFOluhNWJEyeUnJzs+D6Qm/HqtvEIh+joaKdr+rut\\\n",
       "hieXXXZZqLplSeH85QXhD0BdQSAE6rmZM2fq6quvVlxcnNc6jRs31o4dO2qxV6gvGnoYlNy3i0hI\\\n",
       "SPA41fPCCy/UsmXL3MpLS0udFrupbXa7PWT73MF/tbEPIQDUBUwZBeq5G2+80WcYBHypD5vR15Tr\\\n",
       "c3NFRUUe6y1dutRjuafP6IYbblBycrK2b99e8w764csvvwz4HF8jofX9FRsbG5Zn+qqqjWcIAaAu\\\n",
       "IBACgIXV918mjBgxQtHR0T5HwFetWuV3e6Zp6oYbbnB8f8oppzhNN5VOBoU5c+boxIkT6tChgwzD\\\n",
       "CPum8YMHD662TuUG9mPHjmU6YggQCAFYBYEQAOqwyhGR77//PmzXiI6O9nk8Li7OcdN73nnnea1n\\\n",
       "mqaSkpJkGIaioqJ8juKcdtpp+u2337R161Y1btzY7fj/+3//r9p+G4ah+fPnq7y8XKeddprXm/Kz\\\n",
       "zz672raqeueddxyf++HDh52OrVixwuM5jRs3jki4nj17tqOvdrtdFRUV+sc//lHr/QAA1F8EQgCo\\\n",
       "B3r06BG2UZ/y8nJt2rTJ47H77rvPacrkqlWrlJCQ4FZv8uTJstlsKigokHTyuTdfq2Xu2LFDrVq1\\\n",
       "UufOnT2Ors2dO9evUTFX6enpHstN03Tsm3jWWWcF3G4lXxuNl5SUyDCMsG3tUFxc7Pi6crGb2267\\\n",
       "LSzXAiOEAKyDQAgA9Ui4nvk744wzPJbPmDHDrayoqMgp7FVUVOiRRx4JeZ9Wrlzp9Zi3cHz06FGv\\\n",
       "55SVlck0TX311VdB98l1+qgnjRo1coQEm80mm82m2NhYffHFF0FfVzq50XzV0UCEF4EQgFUQCAGg\\\n",
       "HonkapdVxcbGOr6uHHkLB2/Bx9sN+IkTJ8LWl0oTJkzwu25lgCstLdXvfvc7GYah8vLy8HUOIUMg\\\n",
       "BGAVBEIAQFA+++wzTZs2LazXOH78uNdjrhvHL1q0qFYC88yZM2t0fo8ePULUE/9t3LhRUVFRBJcA\\\n",
       "EAgBWAX7EAJAPeJtUZNIOHDggD744IOwXiM1NdXrsdNPP71erqb5008/hbX9ysV9PO21CP+xDyEA\\\n",
       "q2CEEADqkfPPPz/SXXC4+OKLqx3tKi8vl91uV/fu3d2OGYahL774Qnv27FHjxo3D1Mu6ZdiwYWEN\\\n",
       "D6ZpymazEQYBAH4jEAJAPWGzhfd/2bNnz3b63tezgbGxsTr11FP14osveq1jmqZjmuIPP/zgtrm4\\\n",
       "3W7XRRddpMzMTB09etRRtnLlSh05cqTOjv6VlZUFdd5///tfLVy4MMS9+Z+NGzeG/WfESpgyCsAq\\\n",
       "+JcDAOowm83muOEMd0C64447ZBiG0tLSqt0+IT8/X5L3VTf/8Ic/BNUHwzB07rnnqkmTJk7lp556\\\n",
       "qtPN92+//RZU+94cP37c0XZ2drbPusE+p9i+ffugzvOXp1FYBI9ACMAqCIQAUIdFYpTsyJEj1dap\\\n",
       "LhT961//ClV3ZJqm9u7d61TWqlWrkLafkpLi+L5v375Oq6hWFewIXLArsdrtdqfQ4e3ngUASegRC\\\n",
       "AFZBIAQABOTXX3+ttk5cXFzIrrdx40aP5aEKy57CWmlpqcf2g71msFtNREVFOX1vs9n0ySefuJUh\\\n",
       "9AiEAKyCf0UAoB6pujl5mzZtav36NpvNr9G5UN4gJyUleSyvbnP28vJyjRo1qtr2vbVT3dTRqgYN\\\n",
       "GqR//OMfPusEOkq4bNkyj+WVC9PU1lRiqyIQArAKAiEA1CPFxcWOr3fu3On3ed9//70jSB45ciTo\\\n",
       "G1hfzxWGS9u2bT2Wu46eVbVo0SJFR0fr7bffDvq99u3b163s6NGjTt+XlJTINE2tWbNGY8eOlWma\\\n",
       "at68ucf2KioqZBiGCgoKqr22aZq66KKLguo3AACBYB9CAKin7rnnnmrrHDt2zG0vvyZNmjiNivkb\\\n",
       "mLyNRJmmqV69emnjxo3Ky8tTYmKiX+35K9BAZ5qmhg4d6taGp/6PGTPGYxtff/21x/LGjRtXOyK3\\\n",
       "f/9+n332NuKJuoV9CAFYBSOEAFCPGIahY8eO6frrr9fzzz/vs25UVJTPjd0rhWLK4YYNG1ReXu4x\\\n",
       "DM6aNctxc+3P6FhNBfJM3auvvuqxfMCAAUFfP9jnBYP1n//8RxUVFbLb7SooKFDHjh1r9foNFVNG\\\n",
       "AVgFI4QAUM+4bsngTSDhKycnR7179w62S16Zpqlx48Y5vk9KSlJ+fr7X7SoC0aFDB/33v/91Kvv2\\\n",
       "22+91o+KinKa8urtJr6mATk6OrpG5/uroKBACQkJTmUJCQn6+eefJUldunTRli1baqUvDREjhACs\\\n",
       "ghFCAGigvG2d4MmZZ55Z7VTGYFaz9LQfYdUtHvyxf/9+j+Xbt29XVFSUfvnlFz3yyCOKjo5W//79\\\n",
       "vbbjuoVDqFXuGVkb9u3b5xYGXW3evLlW+tJQMUIIwCoIhAAASSc3Z/fFNE0ZhqF3331X5eXlKi8v\\\n",
       "r3Y07d57761xvzIyMrwes9vtat++vSZPnhySqZrnn39+wOdEYrVPX59JVaHcD9KKCIMArIBACABw\\\n",
       "KC0trbbOjTfeqOjoaEVHR1c7KpaVlVWj/tx33301Oj9QnkbVCgsLlZycrJiYGI0YMUJHjx7Vnj17\\\n",
       "FB0dHZEwcOONN/pdd/v27WHsCQCgISAQAkAD5U+4c5WXlxfUtTp06OD1mOvIWXX7B1Y1Y8aMoPoT\\\n",
       "rP3796uoqMjxvWEYSkxM1IkTJ1RWVqb58+frlFNOUcuWLWt98ZhKb7/9tt91H3jggTD2pGFjyigA\\\n",
       "qyAQAkADlZOTE1D9G2+8Uc2aNQvqWt723qtUuQdi5bRTfwS6kXuoJCQk1Nmb/Pfeey/SXbAMAiEA\\\n",
       "qyAQAkADdfvtt1db549//KPjhvbdd98N+lpr1qwJ+lxvqq4I6q+GfGOempqqESNG+F2/adOmYexN\\\n",
       "w0cgBGAVBEIAaKB++OEHn8d/++03/fvf/67RNaKiosKymMqGDRsCPufZZ5+V3W6XaZpeV1ht0aKF\\\n",
       "CgsL1bhx4xr177TTTlNRUZHsdrvsdrsqKiqcRkFN0wzqPfjyxRdfBFT/8OHDIb2+1RAIAVgF+xAC\\\n",
       "QANVXVBr3bp10G0nJCSEdZN5X9tHeJKamqp77rnH8X1xcbHbTXpJSYliYmIkSUePHg34Jt4wDJWU\\\n",
       "lHjcZ9BTWz179lRBQYESExMDuo43/fv39/v5y2Cn/uJ/2IcQgFUwQggADZivvQODHdl79913wxoG\\\n",
       "KyoqVFZW5vh+2bJlMk1TJSUlAbVjmqY+//xz/fGPf5Rpmo4wWCkzM7PaNho3buwYdbTb7QFvOl/d\\\n",
       "XoGBqHz+cuHChT7rJSUl6dChQyG7rlUxQgjAKgiEANCAVYaIF154IWRtXn/99dXWycnJUcuWLX3e\\\n",
       "QHt6RnDq1KlOi8mYpqkLLrhAkhQTE6P8/HyP18vLy/N47He/+50+++wzr+f4cuzYsaBGEl3t3r27\\\n",
       "Rue7Gj58uM/PtbqwHmjQqYuvkpIStym6ri8AgH+YMgoAFnDXXXfprrvuUmJiovbs2aMmTZoE1c6j\\\n",
       "jz7q9VhGRob279/vd1uVwS8qKsrvBWSSkpK8HktNTQ0oCHgLTjExMQGPRvrSsmXLkLWF2sOUUQBW\\\n",
       "wQghAFhIQUGBGjduHPQIyl//+le3skcffVSGYQQUBqsKZDXRbt26+TxuGIZfz9llZGS4lWVlZQU1\\\n",
       "NdUfkdqzEMFjyigAq2CEEADgZu7cuRoxYoSKiop03333qUOHDrrvvvvc6tlstrBOz+vcubO2bNki\\\n",
       "Sdq8ebM2bdpU7TlRUVFuZXFxcWrSpIn279/vFhhtNltQW1wEonIU1FPfUDcxQgjAKgiEAAAnNptN\\\n",
       "1157raSTi6K89NJLHuulpKSE/VmtrVu3huRmu7i4WPv27fN4LNxhsFJleA53iEZoEAgBWAVTRgEA\\\n",
       "TvwNK8ePHw9zT+qvEydO6Ndff/V4zN+tI/wxdOhQt8VUioqKQta+lTFlFIBVEAgBAE4YvaqZRo0a\\\n",
       "KTk5WW3atPG6mmooPuMLLrhAn376qVt5XFycTNP0a3otAAAEQgCAm1COYtV127dvD2l7rgGw6jYa\\\n",
       "obRs2TKfx7t06SLTNPXNN9/w7GIQGCEEYBUEQgCAGysFiA4dOmjo0KGSTgbhfv36hfwm37WtwsLC\\\n",
       "GrUXyAhjv379VF5ezv58ASIQArAKAiEAwKPExESvx84999xa7En4LVq0SIZhKCoqSuvXr3eU22yB\\\n",
       "/zPpbY9HwzD0ww8/6KabbvL52fqyYcMGQl0tIRACsAoCIQDAo8LCQo83uvPnz9fq1avdyq+88krH\\\n",
       "KFRJSYmGDRsWVKCqS4IJX0eOHPF6rGfPnnrrrbeC7kvPnj2DOte1nfr+io2NDXtAIxACsIr6/S81\\\n",
       "gLApKyvTgw8+qO7duysxMVGZmZkaOXKk9u7dW+25L774otq2bau4uDgNGDBA33zzjdPx4uJijRs3\\\n",
       "TmlpaUpKStKVV14Z9KbmCD/XG98RI0a41fn73/+u999/3/F9TEyMFi5cqIqKCo839D///HNtvoUa\\\n",
       "KS0tDficAwcOhLQPZWVlIW0P1SMQArAKAiEAjwoLC5WTk6OHHnpIOTk5+uCDD7R161YNGzbM53nz\\\n",
       "5s3TxIkTNWXKFOXk5Khnz57KyspyukG+99579cknn2jBggVasWKF9u7dqyuuuCLcb6lecg1SGzZs\\\n",
       "iHSXPPrLX/4SUP2OHTs69uSr684555yAz2nWrFlI+2ClZzoBALWr7v9LDCAiUlNTtWTJEl1zzTU6\\\n",
       "/fTTNXDgQL3wwgvKzs72ur+aJM2YMUNjxozRzTffrK5du2r27NlKSEjQ66+/LknKy8vTa6+9phkz\\\n",
       "ZujCCy9Unz599MYbb2jNmjX6+uuva+vt1Vs9e/asFyHKX4cPH450F6qVk5MT6S54nKLrr8rtLwzD\\\n",
       "UHR0dAh71bAxQgjAKhrOXQWAsMvLy5NhGGrcuLHH46WlpcrOztaQIUMcZTabTUOGDNHatWslSdnZ\\\n",
       "2SorK3Oq07lzZ7Vu3dpRB7552tcu0kpKSoI6z9vPUiDCfTNeFz7v8847TzabTRMnTlR5ebnf5zVq\\\n",
       "1MjpFziBnGt1BEIAVkEgBOCX4uJiPfjgg7ruuuuUkpLisc6hQ4dUUVGh9PR0p/L09HTl5uZKknJz\\\n",
       "cxUTE+MWBKrW8aSkpET5+flOLyvbuHFjpLvgJC4uLuhzvYXJBQsWOKbKerrhrjxmt9vDvqXCE088\\\n",
       "EVD9cAQE0zQ1c+ZMRUdHyzAMdenSpdpz6kKYrc8IgwCsgEAIQJI0Z84cJSUlOV6rVq1yHCsrK9M1\\\n",
       "11wj0zT10ksvRaR/06dPV2pqquPVqlWriPSjrjjjjDPq3PS/+Pj4oM6LiYnxWH7VVVc5vnYd2fL2\\\n",
       "C4FwjYD9+c9/9rtubQWELVu21Mp1rKo2RwgJlwAiiUAIQJI0bNgwbdiwwfHq27evpP+FwV27dmnJ\\\n",
       "kiVeRwclqWnTpoqKinJbMXT//v3KyMiQJGVkZKi0tFTHjh3zWseTSZMmKS8vz/HavXt3kO+04Sgt\\\n",
       "LVVpaakaNWoU6a5IOjmKHK5ROtfnJpOSkjzWi/TiK7V9Qx+KKbfwrLYCISEQQKQRCAFIkpKTk9Wh\\\n",
       "QwfHKz4+3hEGt23bpi+++EJpaWk+24iJiVGfPn20dOlSR5ndbtfSpUs1aNAgSVKfPn0UHR3tVGfr\\\n",
       "1q369ddfHXU8iY2NVUpKitMLUnR0tMrKymSapv71r39FujthW/CmTZs2Tt8fPXo0LNfx5ZZbbvF6\\\n",
       "zG63R+TGPi8vTwkJCYqJiVFsbKzuueceVVRUqKysLOLhuL6rjUCYmpoa4l4DQOAIhAA8Kisr01VX\\\n",
       "XaX169drzpw5qqioUG5urnJzc532Zbvooov0wgsvOL6fOHGiXnnlFb311lvavHmz7rjjDhUUFOjm\\\n",
       "m2+WdPIGaPTo0Zo4caKWL1+u7Oxs3XzzzRo0aJAGDhxY6++zrqu82WzdunW1da+44gq1aNGiFnrl\\\n",
       "m6dRwszMTMd7mTlzptOxvLw8j+0YhqETJ07o0ksvdVvZNjMz0+v1w7XH4RtvvOGxPDExsdbDV1RU\\\n",
       "lObPn6/evXurqKhIZWVlKi0t1fPPP69GjRopJiZGdru9VvuEk6Pk8fHxjlefPn181q+c+hzO518B\\\n",
       "oDoEQgAe7dmzRx9//LF+++039erVSy1atHC81qxZ46i3fft2HTp0yPH9iBEj9PTTT2vy5Mnq1auX\\\n",
       "NmzYoMWLFzstNDNz5kxdcskluvLKK3XeeecpIyNDH3zwQa2+v/pm9+7dMgxDp556qs96O3furJ0O\\\n",
       "+eBpOue+ffscX0+cOFGGYahly5Zq1aqVz2mPycnJ+vTTT93Kfa1q2rFjR8c2J5J0//33u+3nGOyz\\\n",
       "hoZhKDY2Vl26dHEE3MLCwqDaat68uaM/vrZycVXZ/6uvvlrZ2dlBXRvVC3aEsLi42PHytWVJ5Tmd\\\n",
       "O3cO+3sBAF8Mk19LAaiH8vPzNWPGDL+mak2ZMqUWehQent7fvn37vD5veezYMTVp0iSsferQoYOW\\\n",
       "Ll2qjh07Oo0WV1X1n5YTJ04oOTk55P0IxT9fNpstIqMzbdu21Y4dO5zKHn/8cU2aNMnrOYZheBz1\\\n",
       "y8jIcHtu15eG8M/+1KlTq63z8MMPKy8vL+Dp5fHx8SouLtbChQuVmJjo1zkFBQW67LLLJDmvuNu1\\\n",
       "a1ePob3q3+vKP4/Ksobw5wOgfmGEEADqGV/TQqubolZTpmlq27Ztat26tUpKStSyZctqzwl29dHa\\\n",
       "EKlpla5hUKp+JVNvfd2zZ09I+gRnwYwQxsXFqaioyPHyZwTXdYTRMIx6/UssAPUPgRAAGhBPQSNU\\\n",
       "PG1z4c9qryxuEl58vuERzkVlqht59GcEFABCpW6sVQ4A8CjQ6WORGPHyp491eRpcXepbsH2pS++h\\\n",
       "oQgk6AUaCE+cOOG1Df4sAdQ2RggBAAAAwKIYIQQAAHARzhFCTxgZBBApBEIAAAAXtR0IASBSCIQA\\\n",
       "AAAuCIQArIJACAAA4IJACMAqCIQAAAAuCIQArIJVRgEAAADAohghBAAAcMEIIQCrIBACAAC4IBAC\\\n",
       "sAoCIQAAgAsCIQCrIBACAAC4IBACsAoCIQAAgAcEPQBWwCqjAAAAAGBRjBACAAC4YMooAKsgEAIA\\\n",
       "ALggEAKwCgIhAACACwIhAKsgEAIAALggEAKwCgIhAACACwIhAKsgEAIAALggEAKwCradAAAAAACL\\\n",
       "YoQQAADABSOEAKyCQAgAAOCCQAjAKgiEAAAALgiEAKyCQAgAAOCCQAjAKgiEAAAALgiEAKyCVUYB\\\n",
       "AAAAwKIYIQQAAHDBCCEAqyAQAgAAuCAQArAKAiEAAIALAiEAqyAQAgAAuCAQArAKAiEAAIALAiEA\\\n",
       "q2CVUQAAAACwKEYIAQAAXDBCCMAqCIQAAAAeEPQAWAGBEAAAwAUjhACsgkAIAADggkAIwCoIhAAA\\\n",
       "AC4IhACsgkAIAADggkAIwCrYdgIAAAAALIoRQgAAABeMEAKwCgIhAACACwIhAKsgEAIAALggEAKw\\\n",
       "CgIhAACACwIhAKsgEAIAALggEAKwClYZBQAAAACLYoQQAADARThHCL3VN00zoHYAIBQYIQQAAHBR\\\n",
       "GQj9fYVC06ZNQ9IOAASCEUIAAAAX4RwhdB0JrDz/8OHDAbUDAKFAIATQ4E2dOjXSXQBQzwQTCIuL\\\n",
       "ixUfH+8o79q1q7Kzs8PSPwAIFQIhAACAi2BHCIuLix1f5+TkVHvuq6++6viaZwgBRAKBEAAAIETi\\\n",
       "4uIcX3ft2rXa+mPGjAlndwCgWgRCAAAAF8GMEMbFxamoqCiga1RidBBApLDKKAC/3H777TIMQ88+\\\n",
       "+2y1dV988UW1bdtWcXFxGjBggL755hun48XFxRo3bpzS0tKUlJSkK6+8Uvv37w9TzwEgcOFcZTQn\\\n",
       "J4cwCKDOIBACqNaHH36or7/+WpmZmdXWnTdvniZOnKgpU6YoJydHPXv2VFZWlg4cOOCoc++99+qT\\\n",
       "Tz7RggULtGLFCu3du1dXXHFFON8CAAQknIGwT58+Hq/Vpk2bUL4FAPALgRCAT3v27NFdd92lOXPm\\\n",
       "KDo6utr6M2bM0JgxY3TzzTera9eumj17thISEvT6669LkvLy8vTaa69pxowZuvDCC9WnTx+98cYb\\\n",
       "WrNmjb7++utwvx0A8Ftt7kEoSb/++mvI2gIAfxEIAXhlt9t144036k9/+pPOOOOMauuXlpYqOztb\\\n",
       "Q4YMcZTZbDYNGTJEa9eulSRlZ2errKzMqU7nzp3VunVrRx0AiLRwjhCapun1BQC1jUVlAHj1xBNP\\\n",
       "qFGjRrr77rv9qn/o0CFVVFQoPT3dqTw9PV1btmyRJOXm5iomJkaNGzd2q5Obm+u17ZKSEpWUlDi+\\\n",
       "z8/P9/NdAAAAwBtGCAFIkubMmaOkpCTHa8WKFXruuef05ptvhnRKVLCmT5+u1NRUx6tVq1aR7hKA\\\n",
       "BiycI4QAUJcQCAFIkoYNG6YNGzY4XmvWrNGBAwfUunVrNWrUSI0aNdKuXbt03333qW3bth7baNq0\\\n",
       "qaKiotxWDN2/f78yMjIkSRkZGSotLdWxY8e81vFk0qRJysvLc7x2795do/cLAL4QCAFYBVNGAUiS\\\n",
       "kpOTlZyc7Ph+7NixuvTSS53qZGVl6cYbb9TNN9/ssY2YmBj16dNHS5cu1fDhwyWdfA5x6dKlGj9+\\\n",
       "vKSTq+tFR0dr6dKluvLKKyVJW7du1a+//qpBgwZ57V9sbKxiY2Nr8hYBwG/B7EMIAPURgRCAR2lp\\\n",
       "aUpLS3Mqi46OVkZGhk4//XRH2UUXXaTLL7/cEfgmTpyoUaNGqW/fvurfv7+effZZFRQUOEJkamqq\\\n",
       "Ro8erYkTJ+qUU05RSkqK7rrrLg0aNEgDBw6svTcIAD4QCAFYBYEQQI1s375dhw4dcnw/YsQIHTx4\\\n",
       "UJMnT1Zubq569eqlxYsXOy00M3PmTNlsNl155ZUqKSlRVlaWZs2aFYnuA4BHBEIAVmGYrHEMoB7K\\\n",
       "z8/XjBkzuBED4NHDDz+svLw8paSkBHRefHy8iouLtXfvXr/Pzc/PV2ZmpuLi4lRUVBRMdwEgYlhU\\\n",
       "BgAAAAAsiimjAAAALpgyCsAqCIQAAAAuCIQArIJACAAA4IJACMAqCIQAAAAuCIQArIJACAAA4IJA\\\n",
       "CMAqWGUUAAAAACyKEUIAAAAXjBACsAoCIQAAgAsCIQCrIBACAAC4IBACsAoCIQAAgAsCIQCrIBAC\\\n",
       "AAC4IBACsApWGQUAAAAAi2KEEEC9ZJpmpLsAoI6ryf8njh8/7vfI3/Hjx4O+DgBEmmFyVwWgHvrt\\\n",
       "t9/UqlWrSHcDQB22e/dutWzZMqBzunTpoi1btgR1vc6dO2vz5s1BnQsAkUIgBFAv2e127d27V8nJ\\\n",
       "yZZ+fic/P1+tWrXS7t27lZKSEunuRAyfw0l8DieZpqnjx48rMzNTNlvgT8d06dJFO3fuDOictm3b\\\n",
       "EgYB1EtMGQVQL9lstoB/89+QpaSkWDoAVOJzOInPQUpNTQ36XIIdACthURkAAAAAsCgCIQAAAABY\\\n",
       "FIEQAOqx2NhYTZkyRbGxsZHuSkTxOZzE5wAACBSLygAAAACARTFCCAAAAAAWRSAEAAAAAIsiEAIA\\\n",
       "AACARREIAaAOKSsr04MPPqju3bsrMTFRmZmZGjlypPbu3VvtuS+++KLatm2ruLg4DRgwQN98843T\\\n",
       "8eLiYo0bN05paWlKSkrSlVdeqf3794frrdRIde/F1YIFC9S5c2fFxcWpe/fuWrRokdNx0zQ1efJk\\\n",
       "tWjRQvHx8RoyZIi2bdsWzrdQY9OnT1e/fv2UnJys5s2ba/jw4dq6dWu15zXEzwIAED4EQgCoQwoL\\\n",
       "C5WTk6OHHnpIOTk5+uCDD7R161YNGzbM53nz5s3TxIkTNWXKFOXk5Khnz57KysrSgQMHHHXuvfde\\\n",
       "ffLJJ1qwYIFWrFihvXv36oorrgj3WwqYP++lqjVr1ui6667T6NGj9d1332n48OEaPny4Nm7c6Kjz\\\n",
       "5JNP6vnnn9fs2bO1bt06JSYmKisrS8XFxbX1tgK2YsUKjRs3Tl9//bWWLFmisrIyXXzxxSooKPB6\\\n",
       "TkP9LAAAYWQCAOq0b775xpRk7tq1y2ud/v37m+PGjXN8X1FRYWZmZprTp083TdM0jx07ZkZHR5sL\\\n",
       "Fixw1Nm8ebMpyVy7dm34Oh+E6t6Lq2uuucYcOnSoU9mAAQPM2267zTRN07Tb7WZGRob51FNPOY4f\\\n",
       "O3bMjI2NNefOnRuGdxAeBw4cMCWZK1as8FrHKp8FACB0GCEEgDouLy9PhmGocePGHo+XlpYqOztb\\\n",
       "Q4YMcZTZbDYNGTJEa9eulSRlZ2errKzMqU7nzp3VunVrR526wJ/34mrt2rVO9SUpKyvLUX/Hjh3K\\\n",
       "zc11qpOamqoBAwbUqfdenby8PEnSKaec4rWOVT4LAEDoEAgBoA4rLi7Wgw8+qOuuu04pKSke6xw6\\\n",
       "dEgVFRVKT093Kk9PT1dubq4kKTc3VzExMW6hsmqdusCf9+IqNze32vdeWeZvm3WN3W7XhAkTdPbZ\\\n",
       "Z6tbt25e61nhswAAhBaBEAAiaM6cOUpKSnK8Vq1a5ThWVlama665RqZp6qWXXopgLxFp48aN08aN\\\n",
       "G/Xee+9FuisAgAamUaQ7AABWNmzYMA0YMMDx/amnnirpf2Fw165dWrZsmdfRQUlq2rSpoqKi3FYM\\\n",
       "3b9/vzIyMiRJGRkZKi0t1bFjx5xGCavWqQv8eS+uMjIyqn3vlWUtWrRwqtOrV68Q9j48xo8fr08/\\\n",
       "/VQrV65Uy5YtfdZt6J8FACD0GCEEgAhKTk5Whw4dHK/4+HhHGNy2bZu++OILpaWl+WwjJiZGffr0\\\n",
       "0dKlSx1ldrtdS5cu1aBBgyRJffr0UXR0tFOdrVu36tdff3XUqQv8eS+uBg0a5FRfkpYsWeKo365d\\\n",
       "O2VkZDjVyc/P17p16+rUe3dlmqbGjx+vDz/8UMuWLVO7du2qPaehfhYAgDCK9Ko2AID/KS0tNYcN\\\n",
       "G2a2bNnS3LBhg7lv3z7Hq6SkxFHvwgsvNP/v//7P8f17771nxsbGmm+++aa5adMmc+zYsWbjxo3N\\\n",
       "3NxcR53bb7/dbN26tbls2TJz/fr15qBBg8xBgwbV6vvzR3Xv5cYbbzT//Oc/O+p/9dVXZqNGjcyn\\\n",
       "n37a3Lx5szllyhQzOjra/PHHHx11Hn/8cbNx48bmwoULzR9++MG87LLLzHbt2plFRUW1/v78dccd\\\n",
       "d5ipqanml19+6fRzUFhY6Khjlc8CABA+BEIAqEN27NhhSvL4Wr58uaNemzZtzClTpjid+3//939m\\\n",
       "69atzZiYGLN///7m119/7XS8qKjIvPPOO80mTZqYCQkJ5uWXX27u27evFt5V4Hy9l8GDB5ujRo1y\\\n",
       "qj9//nyzU6dOZkxMjHnGGWeYn332mdNxu91uPvTQQ2Z6eroZGxtrXnTRRebWrVtr460EzdvPwRtv\\\n",
       "vOGoY5XPAgAQPoZpmmZkxiYBAAAAAJHEM4QAAAAAYFEEQgAAAACwKAIhAAAAAFgUgRAAAAAALIpA\\\n",
       "CAAAAAAWRSAEAAAAAIsiEAIAAACARREIAQAAAMCiCIQAgHrhtdde08UXXxz26yxevFi9evWS3W4P\\\n",
       "+7UAAIg0AiEAoM4rLi7WQw89pClTpoT9Wr///e8VHR2tOXPmhP1aAABEGoEQAFDnvf/++0pJSdHZ\\\n",
       "Z59dK9e76aab9Pzzz9fKtQAAiCQCIQCg1hw8eFAZGRl67LHHHGVr1qxRTEyMli5d6vW89957T5de\\\n",
       "eqlT2fnnn68JEyY4lQ0fPlw33XST4/u2bdvq0Ucf1ciRI5WUlKQ2bdro448/1sGDB3XZZZcpKSlJ\\\n",
       "PXr00Pr1653aufTSS7V+/Xpt3749+DcLAEA9QCAEANSaZs2a6fXXX9fDDz+s9evX6/jx47rxxhs1\\\n",
       "fvx4XXTRRV7PW716tfr27RvUNWfOnKmzzz5b3333nYYOHaobb7xRI0eO1A033KCcnBy1b99eI0eO\\\n",
       "lGmajnNat26t9PR0rVq1KqhrAgBQXxAIAQC16o9//KPGjBmj66+/XrfffrsSExM1ffp0r/WPHTum\\\n",
       "vLw8ZWZmBn292267TR07dtTkyZOVn5+vfv366eqrr1anTp304IMPavPmzdq/f7/TeZmZmdq1a1dQ\\\n",
       "1wQAoL4gEAIAat3TTz+t8vJyLViwQHPmzFFsbKzXukVFRZKkuLi4oK7Vo0cPx9fp6emSpO7du7uV\\\n",
       "HThwwOm8+Ph4FRYWBnVNAADqCwIhAKDWbd++XXv37pXdbtfOnTt91k1LS5NhGDp69Gi17VZUVLiV\\\n",
       "RUdHO742DMNrmes2E0eOHFGzZs2qvSYAAPUZgRAAUKtKS0t1ww03aMSIEXrkkUd06623uo3OVRUT\\\n",
       "E6OuXbtq06ZNbsdcp3n+8ssvIeljcXGxtm/frjPPPDMk7QEAUFcRCAEAteqvf/2r8vLy9Pzzz+vB\\\n",
       "Bx9Up06ddMstt/g8JysrS6tXr3YrX7hwoT744ANt375df//737Vp0ybt2rVLe/bsqVEfv/76a8XG\\\n",
       "xmrQoEE1agcAgLqOQAgAqDVffvmlnn32Wb3zzjtKSUmRzWbTO++8o1WrVumll17yet7o0aO1aNEi\\\n",
       "5eXlOZUPHTpUTz75pLp27aqVK1dq1qxZ+uabb/TOO+/UqJ9z587V9ddfr4SEhBq1AwBAXWeYVdfZ\\\n",
       "BgCgjrr66qvVu3dvTZo0SdLJfQh79eqlZ599NqTXOXTokE4//XStX79e7dq1C2nbAADUNYwQAgDq\\\n",
       "haeeekpJSUlhv87OnTs1a9YswiAAwBIYIQQA1EvhGiEEAMBKCIQAAAAAYFFMGQUAAAAAiyIQAgAA\\\n",
       "AIBFEQgBAAAAwKIIhAAAAABgUQRCAAAAALAoAiEAAAAAWBSBEAAAAAAsikAIAAAAABZFIAQAAAAA\\\n",
       "iyIQAgAAAIBFEQgBAAAAwKIIhAAAAABgUQRCAAAAALAoAiEAAAAAWNT/B3Yj4tbtrJPqAAAAAElF\\\n",
       "TkSuQmCC\\\n",
       "\"\n",
       "  frames[49] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4QAAAGQCAYAAAD2lq6fAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
       "bGliIHZlcnNpb24zLjEwLjgsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvwVt1zgAAAAlwSFlzAAAP\\\n",
       "YQAAD2EBqD+naQAAZldJREFUeJzt3Xd4VFXi//HPTMokJJBESkLo0kEUpIkNFFZcUURcdVkVRGwI\\\n",
       "KvK14UpTV6xY1oKubVVUZHfFdXVxERFQmjRXBBGRDqGTQMpkkrm/P/hlNlMzM5nJZHLfr+eZx8y5\\\n",
       "59577iSY+8k59xyLYRiGAAAAAACmY411AwAAAAAAsUEgBAAAAACTIhACAAAAgEkRCAEAAADApAiE\\\n",
       "AAAAAGBSBEIAAAAAMCkCIQAAAACYFIEQAAAAAEyKQAgAAAAAJkUgBAAAAACTIhACAAAAgEkRCAEA\\\n",
       "AADApAiEAAAAAGBSBEIAAAAAMCkCIQAgLF9//bUsFou+/vrrWDcFEbZq1SolJydrx44dNX7uw4cP\\\n",
       "Ky0tTZ9//nmNnxsAzIhACAAI6OWXX9bbb78d62aE5f3339dzzz0X62ZIkpxOp5588km1adNGKSkp\\\n",
       "Ov300/XBBx8Evf+xY8d0yy23qHHjxkpLS9MFF1ygtWvXetWbM2eOrrvuOrVv314Wi0UDBgwIua1/\\\n",
       "/OMfNWLECLVq1SrkfaurYcOGuummmzR58uQaPzcAmJHFMAwj1o0AANRep512mho1auTVE+h0OlVa\\\n",
       "Wqrk5GRZrbXz74uXXnqpNmzYoO3bt8e6KZo0aZIef/xx3Xzzzerdu7c++eQTffbZZ/rggw/0+9//\\\n",
       "PuC+TqdT5513nr7//nvde++9atSokV5++WXt2rVLa9asUfv27V11BwwYoDVr1qh3795av369Tj/9\\\n",
       "9JB6cdevX68ePXpo2bJl6tevX7iXWy2bNm1Sly5dtHDhQl144YUxaQMAmAWBEACCUFhYqLS0tFg3\\\n",
       "Iyb8BcJ4UFsC4Z49e9SmTRvdcsstevHFFyVJhmGof//+2rZtm7Zv366EhAS/+3/00Ue65pprNHfu\\\n",
       "XP3ud7+TJB08eFAdOnTQb3/7W73//vuuurt27VKzZs1ktVrD+t7dddddmjdvnrZv3y6LxRLeBUdA\\\n",
       "t27d1KNHD73zzjsxawMAmEHt/JMuAETRnj17NGbMGOXm5spms6lNmzYaO3asSktLJUlvv/22LBaL\\\n",
       "Fi9erNtvv11NmjRR8+bNXfu//PLL6tq1q2w2m3JzczVu3DgdO3bM7RxbtmzRlVdeqZycHKWkpKh5\\\n",
       "8+b6/e9/r/z8fFedBQsW6Nxzz1VmZqbS09PVsWNHPfjgg1W2P5j97Ha7pk6dqnbt2slms6lFixa6\\\n",
       "7777ZLfbvY733nvvqU+fPqpXr56ysrJ0/vnn6z//+Y8kqXXr1vrxxx+1ePFiWSwWtyGI/p4hnDt3\\\n",
       "rnr27KnU1FQ1atRI1113nfbs2eNW54YbblB6err27NmjYcOGKT09XY0bN9Y999yj8vLyKj+DTz75\\\n",
       "REOGDHF9D9u2batHHnnEbd8BAwbos88+044dO1xtb926td9j3nDDDa56nq9p06ZV2aaq2utwOHT7\\\n",
       "7be7yiwWi8aOHavdu3dr+fLlAff/29/+puzsbA0fPtxV1rhxY1199dX65JNP3L6vLVq0qFaP7bx5\\\n",
       "83ThhRd6hUF/n0Pr1q11ww03uN5X/Pv55ptvdOedd6px48bKzMzUrbfeqtLSUh07dkwjR45UVlaW\\\n",
       "srKydN9998nX36Z/85vf6NNPP/W5DQAQOYmxbgAA1KS9e/eqT58+ruexOnXqpD179uhvf/ubioqK\\\n",
       "lJyc7Kp7++23q3HjxpoyZYoKCwslSdOmTdP06dM1aNAgjR07Vps3b9Yrr7yi7777Tt9++62SkpJU\\\n",
       "WlqqwYMHy26364477lBOTo727Nmjf/3rXzp27JgyMjL0448/6tJLL9Xpp5+uhx9+WDabTb/88ou+\\\n",
       "/fbbgO0PZj+n06mhQ4fqm2++0S233KLOnTvrhx9+0LPPPquff/5Z8+bNc9WdPn26pk2bprPPPlsP\\\n",
       "P/ywkpOTtXLlSn311Ve66KKL9Nxzz+mOO+5Qenq6/vjHP0qSsrOz/bbv7bff1ujRo9W7d2/NmDFD\\\n",
       "+/fv1/PPP69vv/1W69atU2ZmpqtueXm5Bg8erL59++rpp5/Wl19+qWeeeUZt27bV2LFjA34Ob7/9\\\n",
       "ttLT0zVx4kSlp6frq6++0pQpU1RQUKCnnnpK0snn4PLz87V79249++yzkqT09HS/x7z11ls1aNAg\\\n",
       "t7L58+dr9uzZatKkiavs0KFDAdtWoX79+rLZbJKkdevWKS0tTZ07d3ar06dPH9f2c8891++x1q1b\\\n",
       "pzPPPNMr6PXp00evvfaafv75Z3Xr1i2odgWyZ88e7dy5U2eeeWa1j1Xxsz99+nStWLFCr732mjIz\\\n",
       "M7Vs2TK1bNlSjz32mD7//HM99dRTOu200zRy5Ei3/Xv27Klnn31WP/74o0477bRqtwcA4IcBACYy\\\n",
       "cuRIw2q1Gt99953XNqfTaRiGYbz11luGJOPcc881ysrKXNsPHDhgJCcnGxdddJFRXl7uKn/xxRcN\\\n",
       "Scabb75pGIZhrFu3zpBkzJ071287nn32WUOScfDgwZDaH8x+7777rmG1Wo2lS5e6lc+aNcuQZHz7\\\n",
       "7beGYRjGli1bDKvValxxxRVu12MY//ssDMMwunbtavTv39/rPIsWLTIkGYsWLTIMwzBKS0uNJk2a\\\n",
       "GKeddppRXFzsqvevf/3LkGRMmTLFVTZq1ChDkvHwww+7HbNHjx5Gz549A38IhmEUFRV5ld16661G\\\n",
       "vXr1jJKSElfZkCFDjFatWlV5PF+2bNliZGRkGL/5zW/cfg4kBfV666233Npx6qmnep2jsLDQkGQ8\\\n",
       "8MADAduSlpZm3HjjjV7ln332mSHJmD9/vs/9/H3v/Pnyyy8NScann37qtU2SMXXqVK/yVq1aGaNG\\\n",
       "jXK9r/j3M3jwYLefo379+hkWi8W47bbbXGVlZWVG8+bNfbZx2bJlhiRjzpw5QbcfABA6howCMA2n\\\n",
       "06l58+bpsssuU69evby2ew6Ru/nmm92e6/ryyy9VWlqqCRMmuPXU3HzzzWrQoIE+++wzSVJGRoYk\\\n",
       "6YsvvlBRUZHPtlT0lH3yySdyOp1BX0Mw+82dO1edO3dWp06ddOjQIderYnKORYsWSTo5NNDpdGrK\\\n",
       "lClePU/hPDu2evVqHThwQLfffrtSUlJc5UOGDFGnTp1cn09lt912m9v78847T7/++muV50pNTXV9\\\n",
       "ffz4cR06dEjnnXeeioqK9NNPP4Xcdk+FhYW64oorlJWVpQ8++MDt52DBggVBvQYPHuzap7i42NVb\\\n",
       "WFnF51RcXBywPdXdP1iHDx+WJGVlZVX7WGPGjHH7Oerbt68Mw9CYMWNcZQkJCerVq5fP73lFG4Lt\\\n",
       "kQUAhIchowBM4+DBgyooKAh6+FmbNm3c3lesydaxY0e38uTkZJ166qmu7W3atNHEiRM1c+ZMzZ49\\\n",
       "W+edd56GDh2q6667zhUWr7nmGr3++uu66aab9MADD2jgwIEaPny4fve73wV8/iuY/bZs2aJNmzap\\\n",
       "cePGPo9x4MABSdLWrVtltVrVpUuXoD6Pqvj7fCSpU6dO+uabb9zKUlJSvNqYlZWlo0ePVnmuH3/8\\\n",
       "UQ899JC++uorFRQUuG2r/JxmuG6++WZt3bpVy5YtU8OGDd22eQ4rDUZqaqrP5zdLSkpc26O5f6iM\\\n",
       "CDy317JlS7f3FT/7LVq08Cr39T2vaEMsJ7YBADMgEAKAH9W5yX7mmWd0ww036JNPPtF//vMf3Xnn\\\n",
       "nZoxY4ZWrFih5s2bKzU1VUuWLNGiRYv02Wefaf78+ZozZ44uvPBC/ec///E742Qw+zmdTnXr1k0z\\\n",
       "Z870eQzPG/JYCTSrZiDHjh1T//791aBBAz388MNq27atUlJStHbtWt1///0h9bj68vzzz+uDDz7Q\\\n",
       "e++9p+7du3ttz8vLC+o4GRkZrp+hpk2batGiRTIMwy3g7Nu3T5KUm5sb8FhNmzZ11a0s2P2DVRF+\\\n",
       "gwnlFfyFR3/fX1/lvo5R0YZGjRoF3RYAQOgYMgrANBo3bqwGDRpow4YNYe1fsUj35s2b3cpLS0u1\\\n",
       "bds2r0W8u3XrpoceekhLlizR0qVLtWfPHs2aNcu13Wq1auDAgZo5c6Y2btyoP/3pT/rqq69cQzr9\\\n",
       "qWq/tm3b6siRIxo4cKAGDRrk9arowWvbtq2cTqc2btwY8HzB9tD4+3wqyiK1yPnXX3+tw4cP6+23\\\n",
       "39Zdd92lSy+9VIMGDfI5zDHU3qWlS5fqnnvu0YQJE3Tttdf6rNO0adOgXnPmzHHt0717dxUVFWnT\\\n",
       "pk1ux1q5cqVreyDdu3fX2rVrvcLuypUrVa9ePXXo0CGk6/SnU6dOkqRt27b53H78+HGvsooe50ir\\\n",
       "aIPnRDwAgMgiEAIwDavVqmHDhunTTz/V6tWrvbZXNUxu0KBBSk5O1gsvvOBW94033lB+fr6GDBki\\\n",
       "SSooKFBZWZnbvt26dZPVanUN+zty5IjX8StCga+hgRWC2e/qq6/Wnj179Je//MWrbnFxsWvG1GHD\\\n",
       "hslqterhhx/2ChqVry8tLc1rWQ1fevXqpSZNmmjWrFlu1/Dvf/9bmzZtcn0+1VXRw1S5jaWlpXr5\\\n",
       "5Ze96qalpQU9hHTfvn26+uqrde6557pmKvUlnGcIL7/8ciUlJbm10TAMzZo1S82aNdPZZ5/t1o6f\\\n",
       "fvpJDofDVfa73/1O+/fv1z/+8Q9X2aFDhzR37lxddtllPp8vDEezZs3UokULn/8+JHktMfLvf/9b\\\n",
       "JSUlUVkaYs2aNcrIyFDXrl0jfmwAwP8wZBSAqTz22GP6z3/+o/79+7uWZNi3b5/mzp2rb775xm1Z\\\n",
       "BE+NGzfWpEmTNH36dF188cUaOnSoNm/erJdfflm9e/fWddddJ0n66quvNH78eF111VXq0KGDysrK\\\n",
       "9O677yohIUFXXnmlJOnhhx/WkiVLNGTIELVq1UoHDhzQyy+/rObNmwdcfiCY/a6//np99NFHuu22\\\n",
       "27Ro0SKdc845Ki8v108//aSPPvpIX3zxhXr16qV27drpj3/8ox555BGdd955Gj58uGw2m7777jvl\\\n",
       "5uZqxowZkk5O///KK6/o0UcfVbt27dSkSRPXBDWVJSUl6YknntDo0aPVv39/jRgxwrXsROvWrXX3\\\n",
       "3XeH+21zc/bZZysrK0ujRo3SnXfeKYvFonfffddnKOnZs6fmzJmjiRMnqnfv3kpPT9dll13m87h3\\\n",
       "3nmnDh48qPvuu08ffvih27bTTz9dp59+uqTwniFs3ry5JkyYoKeeekoOh0O9e/fWvHnztHTpUs2e\\\n",
       "PdttGOWkSZP017/+Vdu2bXOtm/i73/1OZ511lkaPHq2NGzeqUaNGevnll1VeXq7p06e7nWvJkiVa\\\n",
       "smSJpJPPzRYWFurRRx+VJJ1//vk6//zzA7b18ssv18cff+w1vFWSNm3apEsuuURDhw7V3r179fzz\\\n",
       "zysjI0PLli3TBx98oBEjRoT82fizYMECXXbZZTxDCADRFoupTQEglnbs2GGMHDnSaNy4sWGz2YxT\\\n",
       "Tz3VGDdunGG32w3D+N+0+b6WpjCMk8tMdOrUyUhKSjKys7ONsWPHGkePHnVt//XXX40bb7zRaNu2\\\n",
       "rZGSkmKccsopxgUXXGB8+eWXrjoLFy40Lr/8ciM3N9dITk42cnNzjREjRhg///xzwLYHu19paanx\\\n",
       "xBNPGF27djVsNpuRlZVl9OzZ05g+fbqRn5/vVvfNN980evTo4arXv39/Y8GCBa7teXl5xpAhQ4z6\\\n",
       "9esbklxLBHguO1Fhzpw5ruOdcsopxrXXXmvs3r3brc6oUaOMtLQ0r+ubOnWqEcyvpm+//dY466yz\\\n",
       "jNTUVCM3N9e47777jC+++MKrPSdOnDD+8Ic/GJmZmYakgEtQ9O/f3+8SEr6WWwhVeXm58dhjjxmt\\\n",
       "WrUykpOTja5duxrvvfeeV72KJTm2bdvmVn7kyBFjzJgxRsOGDY169eoZ/fv39/kzWvEZhnsda9eu\\\n",
       "NSR5LVsiyZg4caJx1VVXGampqUbTpk2NF1980Zg1a5ZRr14946abbjIMw/+/n4p2eS6Z4utnYdOm\\\n",
       "TYYkt38zAIDosBhGFMZ5AACAuDVw4EDl5ubq3XffdZVZLBZNnTpV06ZNi/r5J0yYoCVLlmjNmjX0\\\n",
       "EAJAlPEMIQAAcPPYY49pzpw5rqVEatLhw4f1+uuv69FHHyUMAkAN4BlCAADgpm/fviotLY3JuRs2\\\n",
       "bKgTJ07E5NwAYEb0EAIAAACASdFDCAAAqsSUAwBQN9FDCAAAAAAmRSAEAAAAAJNiyCiAuOR0OrV3\\\n",
       "717Vr1+fmQgBuDEMQ8ePH1dubq6s1tD/9t2xY8eQZ1ht1aqVNm/eHPK5ACDWWIcQQFzavXu3Xn/9\\\n",
       "9Vg3A0AtNX36dO3atUvNmzcPab+OHTvq559/DuucHTp0IBQCiDv0EAKIS/Xr15ckegcB+FXx/4lQ\\\n",
       "VGftxVD29fX/roq/0Q8bNkyffPKJz/34Oz6ASCMQAohLBEEAVanu/yeC3T/SIe2zzz6L6PEAIBAC\\\n",
       "IQAAgAeLxRJSoAw1FFau73keh8Phsz0V/6WXEEAkMcsoAACAh4pAGOxLkux2u1JSUlyvHj16RLxd\\\n",
       "Npst4scEYG70EAIAAHgItYewgt1ud329fv36iLSlY8eOrq9LSkoickwAqEAgBAAA8BBuIKzcg9e5\\\n",
       "c+dqt2PYsGGuWU/pHQQQDQRCAAAAD+EEQpvNFtEePM/ZRukdBBANPEMIAABQy3iGQSaSARAtBEIA\\\n",
       "AAAP4UwqE4oGDRp47Vvx3tc6hBXbBgwYUN1LAwA3DBkFAADwEG7QC9bx48f9bvO3KL0kLV68OBrN\\\n",
       "AWBiBEIAAAAP0Q6EDAEFUFsQCAEAADxEOxACQG1BIAQAAPBAIARgFkwqAwAAAAAmRQ8hAACAB3oI\\\n",
       "AZgFPYQAgvb444/LYrFowoQJAevNnTtXnTp1UkpKirp166bPP//cbbthGJoyZYqaNm2q1NRUDRo0\\\n",
       "SFu2bIliywEgNNFedgIAagsCIYCgfPfdd3r11Vd1+umnB6y3bNkyjRgxQmPGjNG6des0bNgwDRs2\\\n",
       "TBs2bHDVefLJJ/XCCy9o1qxZWrlypdLS0jR48GCVlJRE+zIAICgEQgBmQSAEUKUTJ07o2muv1V/+\\\n",
       "8hdlZWUFrPv888/r4osv1r333qvOnTvrkUce0ZlnnqkXX3xR0sneweeee04PPfSQLr/8cp1++ul6\\\n",
       "5513tHfvXs2bN68GrgYAqkYgBGAWBEIAVRo3bpyGDBmiQYMGVVl3+fLlXvUGDx6s5cuXS5K2bdum\\\n",
       "vLw8tzoZGRnq27evq44vdrtdBQUFbi8AiBYCIQCzIBACCOjDDz/U2rVrNWPGjKDq5+XlKTs7260s\\\n",
       "OztbeXl5ru0VZf7q+DJjxgxlZGS4Xi1atAjlMgAAAOADgRCAX7t27dJdd92l2bNnKyUlJaZtmTRp\\\n",
       "kvLz812vXbt2xbQ9AOo2eggBmAXLTgDwa82aNTpw4IDOPPNMV1l5ebmWLFmiF198UXa7XQkJCW77\\\n",
       "5OTkaP/+/W5l+/fvV05Ojmt7RVnTpk3d6nTv3t1vW2w2m2w2W3UvCQCCQtADYBb0EALwa+DAgfrh\\\n",
       "hx+0fv1616tXr1669tprtX79eq8wKEn9+vXTwoUL3coWLFigfv36SZLatGmjnJwctzoFBQVauXKl\\\n",
       "qw4A1Ab0DgIwA3oIAfhVv359nXbaaW5laWlpatiwoat85MiRatasmesZw7vuukv9+/fXM888oyFD\\\n",
       "hujDDz/U6tWr9dprr0mSax3DRx99VO3bt1ebNm00efJk5ebmatiwYTV6fQDgTyhhj1AIIJ4RCAFU\\\n",
       "y86dO2W1/m+wwdlnn633339fDz30kB588EG1b99e8+bNcwuW9913nwoLC3XLLbfo2LFjOvfcczV/\\\n",
       "/vyYP6cIABUIhADMwmIYhhHrRgBAqAoKCjRz5kxuxAD4NG3aNOXn56tBgwYh7ZeSkiK73a5GjRq5\\\n",
       "/bErEKfTqUOHDslms6mkpCSc5gJAzPAMIQAAAACYFENGAQAAPDBkFIBZEAgBAAA8EAgBmAWBEECd\\\n",
       "N3Xq1Fg3AUAETZ8+PernIBACMAsCIQAAgAcCIQCzIBACAAB4IBACMAtmGQUAAAAAk6KHEAAAwAM9\\\n",
       "hADMgkAIAADggUAIwCwIhAAAAB4IhADMgkAIAADggUAIwCwIhAAAAB4IhADMgllGAQAAAMCk6CEE\\\n",
       "AADwQA8hALMgEAIAAHggEAIwCwIhAACABwIhALMgEAIAAHggEAIwCwIhAACADwQ9AGbALKMAAAAA\\\n",
       "YFL0EAIAAHhgyCgAsyAQAgAAeCAQAjALAiEAAIAHAiEAsyAQAgAAeCAQAjALAiEAAIAHAiEAsyAQ\\\n",
       "AgAAeCAQAjALlp0AAAAAAJOihxAAAMADPYQAzIJACAAA4IFACMAsGDIKAADgoSIQBvuKxPErW7Nm\\\n",
       "TUTOAwBVIRACAAB4iHYgrEqvXr18lnfs2DHi5wJgbgwZBQAA8BDtIaOGYfjdf82aNV71kpKSVFZW\\\n",
       "pp9//jnkcwFAIPQQAgAA1CK+egcdDkcMWgLADAiEAAAAHsIZMmq325WSkuJ69ejRI8ZXAQBVY8go\\\n",
       "AACAh3CHjNrtdtfX69evj3SzACDiCIQAAAAewg2ENpvN9XXnzp0j3i4AiDQCIQAAgIdwAqHNZlNJ\\\n",
       "SUm1z7169Wqv5whTUlKqfVwA8IVACAAA4CHas4w2aNBAx48f93mcQDOQdujQIeRzAUAgTCoDAABQ\\\n",
       "wzzDoKfVq1f7LN+8eXM0mgPAxOghBAAA8FCT6xD60rNnzyrrAEAkEAgBAAB8CCfoAUC8IRACAAB4\\\n",
       "iHYPIQDUFgRCAAAADwRCAGZBIAQAAPBAIARgFgRCAAAADwRCAGbBshMAAAAAYFL0EAIAAHighxCA\\\n",
       "WRAIAQAAPBAIAZgFgRAAAMADgRCAWRAIAQAAPBAIAZgFgRAAAMADgRCAWTDLKAAAAACYFD2EAFCL\\\n",
       "+et5MAyjhlsSW9XpganqszJb747ZfnbCRQ8hALMgEAIAarXqBBirNfBAmHvvvTfsY6NuIxACMAsC\\\n",
       "IQDEGbP18JSWloa9b3l5ud9t+/fv19NPPx32sVG3EQgBmAXPEAJAnEhISDBdGJSkpKSkgNvr1aun\\\n",
       "Bg0aeN2UFxQU+N2nvLxcOTk5EWlfbTN06FCdccYZsW5G3KsIhMG+ACBeEQgB+DVjxgz17t1b9evX\\\n",
       "V5MmTTRs2DBt3ry5yv3mzp2rTp06KSUlRd26ddPnn3/utt0wDE2ZMkVNmzZVamqqBg0apC1btkTr\\\n",
       "MuKaYRiuV1lZWaybExP+hn0mJSXJMAwVFhYqPz9fTqfT7fOqX7++32MmJkZmgMzKlStd55s1a1ZE\\\n",
       "jhmusrIyGYahTz75ROvXr5dhGEH9e4VvBEIAZkEgBODX4sWLNW7cOK1YsUILFiyQw+HQRRddpMLC\\\n",
       "Qr/7LFu2TCNGjNCYMWO0bt06DRs2TMOGDdOGDRtcdZ588km98MILmjVrllauXKm0tDQNHjxYJSUl\\\n",
       "NXFZiENOp9Pt/c6dO8MeSpqQkFCttvzzn/90hcA+ffq4ym+99VZlZWVV69jhKigo8HldHTp00Pz5\\\n",
       "82PQIgBAvOAZQgB+ed5Ivv3222rSpInWrFmj888/3+c+zz//vC6++GLXZB2PPPKIFixYoBdffFGz\\\n",
       "Zs2SYRh67rnn9NBDD+nyyy+XJL3zzjvKzs7WvHnz9Pvf/z66F4W4ZLFYIjJctro9OeXl5QEnqjl0\\\n",
       "6FC1A2c4AvWGDh48uAZbUnfwDCEAs6CHEEDQ8vPzJUmnnHKK3zrLly/XoEGD3MoGDx6s5cuXS5K2\\\n",
       "bdumvLw8tzoZGRnq27evq44vdrtdBQUFbi8gWP/85z8jctNe1aylVW2PBrvdXmUdMz57Wl0MGQVg\\\n",
       "FgRCAEFxOp2aMGGCzjnnHJ122ml+6+Xl5Sk7O9utLDs7W3l5ea7tFWX+6vgyY8YMZWRkuF4tWrQI\\\n",
       "91JQg2rDTbPT6XT1RgdisVi0detW/fvf//a5vWXLlpFuWrVZrVYlJycHVdcwDKWmpka5RXUHgRCA\\\n",
       "WRAIAQRl3Lhx2rBhgz788MOYnH/SpEnKz893vXbt2hWTdiB4vm6Sq/r5efXVVzV69OiItqN9+/ZV\\\n",
       "1vnpp5/kdDp16qmn6uKLL5ZhGBo1apRbnR07dgR1vpoKB2lpaQGX1fClqKgoSq2pmwiDAMyAQAig\\\n",
       "SuPHj9e//vUvLVq0SM2bNw9YNycnR/v373cr279/v2uK/4r/Bqrji81mU4MGDdxeiJwvvvhCCxYs\\\n",
       "iNjx/N0kz5gxI+A+t912m95++21ZLBY5HI6ItOWtt94KuH3VqlXq2LGjV/nbb7+tpUuXKisrK6S2\\\n",
       "eE6AE6xDhw65ZpPNzMz0Wy8zM1OGYejEiRNhnQfBoYcQgFkQCAH4ZRiGxo8fr48//lhfffWV2rRp\\\n",
       "U+U+/fr108KFC93KFixYoH79+kmS2rRpo5ycHLc6BQUFWrlypasOat59992n++67LyLHSklJ8btt\\\n",
       "7dq1Qe9T1VDIYG/G/U2AJEnXX3+9evfu7Xf7ueeeqyNHjoS8TMXu3buDrtuzZ08ZhqGGDRtKOjkL\\\n",
       "6tGjR10zmRYVFcnhcLjeHz16NKS2AAAQCIEQgF/jxo3Te++9p/fff1/169dXXl6e8vLyVFxc7Koz\\\n",
       "cuRITZo0yfX+rrvu0vz58/XMM8/op59+0rRp07R69WqNHz9e0smb+AkTJujRRx/VP//5T/3www8a\\\n",
       "OXKkcnNzNWzYsJq+RPx/33//vdatWxd0/b59+8pqtSozM1OHDh2SJB0/flwWiyXgJCf+ZuAMZmKU\\\n",
       "yjxDoMViCTiM2DAMnXPOOW5lhw8f1jvvvBPSeYPVrFmzoNbWtFqtWr16dcA6qampEVs3EcGjhxCA\\\n",
       "WfAbBoBfr7zyiiRpwIABbuVvvfWWbrjhBkkn14OrPLPi2Wefrffff18PPfSQHnzwQbVv317z5s1z\\\n",
       "m4jmvvvuU2FhoW655RYdO3ZM5557rubPnx+wZwm1R+Wb3/z8fDVu3Ljax0xJSQl6HUp/PdUtW7YM\\\n",
       "OJvmN998E1bbwtWuXTuNGTNGb7zxht86oT4DiJrDshMAzMJiMBc1gDhUUFCgmTNnBnUjNnXq1Bpo\\\n",
       "kTlkZWXp2LFjYe8f6FeO5/fywIEDPsNmoO+51WqtdSErISHB73OFsfgVXBfCy6RJk6ocUjx9+nTl\\\n",
       "5+eH/LxxSkqK7Ha7Lr74YiUlJQW1j8Ph0Pz582Wz2YL+wwYA1BYMGQUABK06YVBSwGUPDMNQvXr1\\\n",
       "lJCQIIfDEVbPo9PplMVi0S233FKdZkaUv4Aa7uQzqBkMGQVgFgRCAEBQKj87Gq6SkpKAi7cXFhaq\\\n",
       "rKys2s/M/eUvf6lVN+qGYejWW291vc/Ly6s1bYNvBEIAZkEgBAAEJS0tLSLHMQxDixcvDnv/UHvW\\\n",
       "asvN+qxZs1wzhWZnZ1dZv7i42BU2GjVqVAMtRGUEQgBmQSAEAAQlks+7jRw5Mux9LRaLysrKItaW\\\n",
       "YNX0s2H16tVzfX348OGAPasAAISL3y4AgCqFuixEVbZv316t/RMSEmQYRsR6LQNJTk6WxWJRamqq\\\n",
       "LBZLjUwE8+2333qVGYbhd2mN2jaRTl1ADyEAsyAQAgCq9NNPP0XsWGVlZRG7gT5x4oT2798fsE5V\\\n",
       "s1EG4nQ65XA43MqC6amrbmjs06ePz/KWLVu6hb+OHTvKYrEoMTFRFotFhw8frtZ58T8EQgBmQSAE\\\n",
       "AFTpjDPOCLrurl27XM/K+Xr5W5w+XE2aNJHT6VTTpk19bq9O76a/IOwZEiv06tVLFotFVqu1WiEh\\\n",
       "0HIHFeHPYrHo559/dtvGs4aRQyAEYBYEQgBAUDIzM6usYxiGmjdvHv3GeLBYLNq7d68Mw9App5yi\\\n",
       "hIQELV68uNo9dZ07d/ZZ7qvXcdiwYVqzZo1b2RNPPOH32F988YWsVquGDx/uczvLBMcWgRCAWRAI\\\n",
       "AQBBOXr0qI4ePepz25dffllrAszhw4dVVlam888/v9rHCnSjf/vtt7u+HjVqlD755BOvOg888IDP\\\n",
       "fZ955hldfPHFMgxDH3/8sd/zhPqZxmKynbqKQAjALAiEAICgZWZm+hwGOnDgwFg3LWr8TeTyyiuv\\\n",
       "uMLAO++847OOv6Bwzz33eJX5C3/BhsLjx48HNRw30HDeeHnZbDYCGgBESPVW/gUAoI6rzhDYP//5\\\n",
       "z0HXPXbsmLKysnxuS0hICDiTaG3pna1LQgmWBFAA8YweQgAAqmCz2cLab9y4cT7LfQ3t9BcG/dWX\\\n",
       "pG7duhEGo4QhowDMgkAIAKhRDz30kNfN9HvvvRfrZkk6+fxh5XZV9MpVXiQ+GFWtV5iQkCCn06mk\\\n",
       "pCQlJycHFeoqz5aampoqwzD03//+N6R2IXgEQgBmQSAEANQYq9WqP/3pT17l119/vc+b7GbNmtVY\\\n",
       "29555x2vZRsSExOVk5Oj4uLioI9jGIacTmeV9SwWi0pLS4NeFqMiOBqGoaKioqDbg/AQCAGYBYEQ\\\n",
       "ABCWUIcqJiYmhrzP3r17vXrrKs795z//Wa+99lqVx2jRooXrGLt37/Zbb9SoUT7LDx48qLFjx1Z5\\\n",
       "nrS0NIZv1iEEQgBmQSAEAIRk8uTJbouvN27cuMp9GjRoEHBSlGBUXpDdarXqzjvv1K233iqLxaL9\\\n",
       "+/f73CcpKcktBLZo0cLns3qBbujz8/M1c+ZMr0XgPZ04cSLIKwEAoPYgEAIAgvKXv/xFFotFjz76\\\n",
       "qFv5oUOHAu53ww036Pjx49FsmnJycrxC3QMPPOBzMpZjx465egtPnDgRMAy+9957Sk9PlyS1b99e\\\n",
       "PXv29FkvmJ7BHj166LTTTgtqOClijx5CAGbBshMAAJ9at26tHTt2BFW3rKxMiYm+f6X89a9/jWSz\\\n",
       "ArJYLMrMzNSxY8eqrNuiRYuA25OSknTttde6la1evVodOnTQli1bXOcL9nnBChVrBTK8tPaLVtCb\\\n",
       "PHmy1x9WpJM/X/7+6AAA0UIgBACTWL9+vU6cOKFzzjkn4I1uo0aNdPjw4ZCO7S8M/vLLLyEdJxKC\\\n",
       "CYNVCRTWqho66ik5OdlneVUzkSK2orkOoa8wKEm9evXiZwJAjWPIKADUcePHj5fFYlGPHj103nnn\\\n",
       "uZ79W7x4sVu9goICWSyWkMNgIDk5ORE7Vk3IycmJ+A25w+Hwu23ZsmURPVdVLrjggho9XzyriSGj\\\n",
       "FbPGEgIBxBKBEADquJdeesln+YABA9xuaDMyMiJ+7orn7+LFvn37avR8nqE8WoqLi2WxWPT111/X\\\n",
       "yPnqgnACod1uV0pKiuvVo0ePKs9R+b8AEAsEQgCoxSwWi1JTU8Pev7CwMIKtCY9hGPrNb34T0j6J\\\n",
       "iYkqKSlRQUFBlFrlbfbs2VE57nXXXed326RJk6p17AEDBshqtWrjxo0B69WrV69a5zGjcHsI7Xa7\\\n",
       "67V+/Xqfx3711VfdzlOBnkIAsUAgBIBarqSkxGsdvmClpaVFoUWh+89//uM2PC7Q4u2GYcjhcMhm\\\n",
       "s6l+/foyDENJSUk+67711luu41X1vKLVatU555zjd/sf/vCH4C8oBO+++67P8htuuKFax50wYYIW\\\n",
       "L14swzDUtWtXtWnTxme96i73gdDYbDbXq3v37j7r3HrrrT7L6SkEEAtMKgMAcSKchd2lkwErnBtN\\\n",
       "z3M1adJEBw8eDPk4/oQyqUppaakMw5DVevLvmH/729905ZVXutVp27at32v1dx673S6bzRbw3OXl\\\n",
       "5V6T5tjtdr+TxfgSjZ6f559/3u399u3bNW3aNE2bNs2t/MiRIxE/txmEM6mMzWZTSUlJ0Oeo/HNB\\\n",
       "GAQQK/QQAkCc6N27d9j72u32oOtmZGT4DDAHDhwI+/yRUBEgDcPwCoOVVQ6FLVu2DBjGqgqDku8Z\\\n",
       "VG02m9atWxdEq6MnJSXFq2z69OleZY0bN66J5tQ5rEMIwCzoIQSAOGC1WrVq1aqw9/fVmxVOr5XD\\\n",
       "4fA7fLM2qYnF388888yYPvN18OBB1a9fP6i6CQkJDB0NUTSXnajufgAQSfQQAkAtVlZWJsMwIn4z\\\n",
       "v3379rD2S0xM9Jo5tKaXTqhJVQW+4uLiGmqJt1BmcC0rK9Opp54axdbUPdHsIfQ3yU///v0j0XQA\\\n",
       "CAmBEABqsYSEhIgcZ968eW7vV6xYEfaxjh8/rsmTJ0s6ObFJv379qtO0Wq2qG/2ioqIaakn1bd26\\\n",
       "lVksQxDNQFhYWOg1yZJhGCwLAiAmCIQAYAKez9yNHj26Wsd7+OGHVV5ermeffbZax4l3WVlZsW4C\\\n",
       "AADVwjOEAGACns/URWKoY8WMn3VdoFlazfIZmFFNPEMIALUBv8kAIE5t3rzZbcjaypUrY92kOsvX\\\n",
       "UMtYD79s165dTM9f1zHLKACzIBACQBwqLy9Xp06d3MrOOussff/990EfI9xAk5+fH5Nn52666SbV\\\n",
       "q1dPubm5IS2jURW73R7UZ+H5vFcsHThwQFu3bo1pG+o6AiEAsyAQAkAc8rUGnSR1797dZ/nRo0e9\\\n",
       "ykK9iZ01a5YsFosyMzOVlpZWYzfBp5xyiiwWi9544w0VFxdr3759SklJqdYyHJK0adMmWSwWpaSk\\\n",
       "yGq1xs1NvcPhUHZ2tt/tdXmSn5pEIARgFgRCAIhDoT67lpmZ6darFmoPl9Pp1NixY73Kly5dGtJx\\\n",
       "QlVeXu4zzErSCy+8EPZxnU6nunTp4lVenVldu3Tp4goH0Vzzz9eakpVVZwZZ/A+BEIBZMKkMAMSh\\\n",
       "kpISn6Ew0KLxycnJYQ91bNiwoc/y/v37R3UR+ECB87333gv7uP6CX7jXYrVa3T7bxMREOZ1Or6Bg\\\n",
       "t9uVkpKihIQElZWVhXyen376Kah6Fosl5sNaAQDxgR5CAKjFKoY0evY4WSwWr/CSkJCg0tLSqLTD\\\n",
       "3xDVaBswYIDP8mPHjtVoO6riK3x5BnaHw+H6HMvLy8PqVercuXPQdS0WC8NHq4EeQgBmQSAEgFrO\\\n",
       "brcrMTFRAwcOdCuv6AWqeIXT4xSsffv2+Szfu3dv1M5ZoXLwrbjmjIyMgPu0adNG9erVi3bTqpSQ\\\n",
       "kKDy8nKtWrXK51BPi8WiSy+9VPfcc48SExNlsVh02223Rez8K1as8AoroQad2viqmAgo0Ku6CIQA\\\n",
       "zIJACABx4quvvorp+R944AG39zabTTk5OVE/b+XgG8yQTovFou3bt6u4uDjkG/XRo0eH20yfnE6n\\\n",
       "EhMT1bdvX791PvvsMz3zzDOuXuBXX33VZ7s9Z5UNRXWejTQrAiEAs+AZQiDObdu2TUuXLtWOHTtU\\\n",
       "VFSkxo0bq0ePHurXr1/MhvmhbpoxY4ZmzJghu90um80W6+b4dPrpp3uV7d69W82bNw9q/zfffDOs\\\n",
       "8wZavD5cycnJriHA+fn52rx5c9jHcjqdcjgcAZ8xhTeCHgAzIBACcWr27Nl6/vnntXr1amVnZys3\\\n",
       "N1epqak6cuSItm7dqpSUFF177bW6//771apVq1g3FxFQW3p5amsYlKQffvjBq+zss8/Wzp07q9y3\\\n",
       "OrOWSpEPhQ6HQ/Xq1VNpaanfWUs/++wz7d+/XzfeeGOVx0tOTq5yhlL8Tyg9fwRHAPGMIaNAHOrR\\\n",
       "o4deeOEF3XDDDdqxY4f27dunNWvW6JtvvtHGjRtVUFCgTz75RE6nU7169dLcuXNj3WREQCSeEfz4\\\n",
       "449dN7p5eXkRaFXt0qhRI6+yYK/zjjvuqPb5Ix3ahw8f7jcMGoahSy65RKNHj1ZRUVFQx4vWpEMA\\\n",
       "gPhFDyEQhx5//HENHjzY73abzaYBAwZowIAB+tOf/qTt27fXXOMQUb6WLgjXq6++6jZhSdOmTXXR\\\n",
       "RRfpiy++iMjxa4Ndu3YpNTXVrczhcLi9D/Rvp7oiuf5gxcQo7dq10/Tp0922lZSUuL33vGZUHz2E\\\n",
       "AMyCHkIgDoVyQ9uwYUP17Nkziq1BNEXyRtPXwvL/+c9/Inb82iCY52ZDuebi4mLl5ORo27ZtVdZ9\\\n",
       "7rnngj5uVSo/C/nQQw95ba/Nw3brCiaVAWAW9BACdcSBAwd04MABr1kYfU2yAXMy80LlFotFPXv2\\\n",
       "1Jo1a0Lar2LpilNPPVWS78+wZcuW2rVrV/UbWcn333/v+joxsepf1VU9I/nrr7+qTZs2kujNChY9\\\n",
       "hADMgkAIxLk1a9Zo1KhR2rRpk+tmtWKafovFEtEhbIhvVqs1qGUbaprnzbSv0LV37161bNlS0smf\\\n",
       "+TPOOMPnsQL9vAcKgx06dPAq8/VZVYSEtLQ0nThxwu/xqiOc71FFYPXUq1cvfffdd9VtkikRCAGY\\\n",
       "BUNGgTh34403qkOHDlq2bJl+/fVXbdu2ze2/QAVfYemVV16JQUv+x9ckLBaLRUlJSVqzZo0uvvhi\\\n",
       "WSwWNWvWTOXl5SovL1f37t1lsVg0Y8YMr33DXVbB15IO/nr9DMOIWhj0F0Iql3344Yde2/0FYcJg\\\n",
       "+BgyCsAs6CEE4tyvv/6qv//972rXrl2sm4I4UNH7Fo1180JVUFDgtzesrKxMvXr1Crj/gw8+qAcf\\\n",
       "fNA1pDLcWVgrhoV6quiRrEn+Pg+Hw6HExERZLBZdc801Xtt99f76O1ZdGDrsOclONNBDCMAs6CEE\\\n",
       "4tzAgQPdnjcCghHoBvaCCy6QxWJRRkZGlcdZunSpGjZsqObNm+urr74KqQ3BHD8YZWVlYYfBWbNm\\\n",
       "qbCw0Oe2aN7kl5aWyul0avny5br44ot17NixgEEtISFBhmH4DXmey0lkZGQQUgAAQaGHEIhzr7/+\\\n",
       "ukaNGqUNGzbotNNO8xoyN3To0Bi1DPEoKytLx44dk3SyB6/ieVRPhmHIanX/m+LAgQP9HtdisahP\\\n",
       "nz6aMWOGRo0aFfFJWKpSXFwc1AyknpKSkryWraiuyp/nWWedpX//+9/VPmZCQoLKysrUokULffrp\\\n",
       "p8wsHAH0EAIwCwIhEOeWL1+ub7/91udNJZPKIFQVYbAyz+GIZWVlIT+rZxiGVq5cqQsvvLC6TQzJ\\\n",
       "oUOH1LBhw7D3r+jJq2rB+cTERLfgeNlll+lf//pX2OcNR0JCgvbu3Vuj56zLCIQAzIIho0Ccu+OO\\\n",
       "O3Tddddp3759cjqdbi/CICpUPDNYMUNmqPtWFu7ELTWtqKioWmGwgtVq9RmUK/PsRfz000991iM4\\\n",
       "xA8mlQFgFgRCIM4dPnxYd999t7Kzs2PdFNRilYd3FhUV6dVXXw1p/zfeeCPSTYqql19+WampqRE7\\\n",
       "XkZGht8g7e/ZP1/l/p5XRO1DIARgFgRCIM4NHz5cixYtinUzUIs1bdrUq+y2224L6Rg1PdSzOmw2\\\n",
       "m8aOHRvyfvn5+Vq7dq1++OEHHT161GsCl40bN3rtU1JSEvCYlY/x3nvvRTSkBstqtRJcwkAgBGAW\\\n",
       "PEMIxLkOHTpo0qRJ+uabb9StWzev4Xx33nlnjFqGSMjIyNDQoUP1zjvvhH3TmZeX57O8tLRUycnJ\\\n",
       "bmXJycleM1ZKUps2bVxfz549W9dee21YbYk0z+cb33vvvZDb1qhRIx0+fDhgnVNPPVWfffaZa6Kd\\\n",
       "evXqeU2q44u/SXlqyjfffFMnlpkAAEQPgRCIc6+//rrS09O1ePFiLV682G2bxWIhEMa5goICvffe\\\n",
       "e3rvvfckSZ999pkuueSSiBw7NTXV6znTzp07V7mMyR/+8IdaEQj37t3rs/czFAsWLKgyDEon1/u8\\\n",
       "4IILtG/fvmqdr6atWLEi1k2IW0wqA8AsGDIKxLlt27b5ff36668ROcdLL72k1q1bKyUlRX379tWq\\\n",
       "VasC1p87d646deqklJQUdevWTZ9//rnbdsMwNGXKFDVt2lSpqakaNGiQtmzZElbbDMMI+LLb7SEP\\\n",
       "/apNL09DhgyRxWKJyGQpvta08xUGzzjjjGqfKxpycnKqfYyLLroo6Lr79++v9vlq2j333BPrJsSt\\\n",
       "ujBk9LXXXqu1bQNQexAIgTpq3759evLJJ6t9nDlz5mjixImaOnWq1q5dqzPOOEODBw/WgQMHfNZf\\\n",
       "tmyZRowYoTFjxmjdunUaNmyYhg0bpg0bNrjqPPnkk3rhhRc0a9YsrVy5UmlpaRo8eHCVz2Phf44c\\\n",
       "OeK6Ee3bt2/Yx7FYLFq2bJkMw1Bubq7POllZWV5liYnRHWDyxz/+0RXq/d3QevaIR1uos7MivtWF\\\n",
       "QHjLLbfEugkA4oDF4OECIK7deOONPst37NihVatW6fjx49U6ft++fdW7d2+9+OKLkk72KrVo0UJ3\\\n",
       "3HGHHnjgAa/611xzjQoLC93WYDvrrLPUvXt3zZo1yxU8/u///s/Ve5Gfn6/s7Gy9/fbb+v3vfx9U\\\n",
       "uwoKCjRz5swq65WWlmrGjBlBHTPepaWl6cSJE25lDofD6znBUFksFq/exI8//ljDhw+v1nED8fzV\\\n",
       "5O+Gu6pfYYZhyGazyeFwKCMjQ4cPH3atKfj++++HNPQ1nn9dVv784vk6KkyfPr3KOtOmTVN+fr4a\\\n",
       "NGgQ0rFTUlJkt9t1//33y2azBbWP3W7XE088IZvNVuv+sFXxva8L33cA0UEPIRDnjh496vY6dOiQ\\\n",
       "Vq1apa+//lpPP/10tY5dWlqqNWvWaNCgQa4yq9WqQYMGafny5T73Wb58uVt9SRo8eLCr/rZt25SX\\\n",
       "l+dWJyMjQ3379vV7TASnsLBQFotFTZo00eHDh3XttddWOwxKvm8kr7jiirCO1bZtW6WkpASsM2DA\\\n",
       "AK+y119/PeRzHT9+XFar1bVGYH5+vhITE5WamqpevXoFHQaTkpLi/mb6qquuinUT4k5d6CGsLN7a\\\n",
       "C6DmMKkMEOc+/vhjn+V/+tOfNG/ePN16661hH/vQoUMqLy/3WuMwOztbP/30k8998vLyfNavmOmy\\\n",
       "4r+B6vhit9tlt9td7wsKCoK/EJM5ePCgGjVqFPXzNGvWTHv27HG9b9q0qYYPH66XXnrJ7z7z5s1T\\\n",
       "VlaWmjdv7rfOF1984VU2evRo3XTTTV7lO3bsUKtWrXweJzMz02d5SUmJ1qxZ4/f8vurHu48++ogQ\\\n",
       "YFIVf8xo0KBBtUeMAKib6CEE6qgRI0bo66+/jnUzImbGjBnKyMhwvVq0aBHrJplKRkaGV9nu3bvd\\\n",
       "JvDZu3evXnzxxYC9aaeddpqaNWsmwzD0yy+/eG3Pysry2avpb4mH1q1b+yw3DMPnpDmh6ty5c1DL\\\n",
       "S/jidDprVc+iYRiu4bIITjz2Dvpr09NPP+327xUAKhAIgTrq+++/V48ePap1jEaNGikhIcFrdsX9\\\n",
       "+/f7neExJycnYP2K/4ZyTEmaNGmS8vPzXa9du3aFfD0IXyR6ZOvXr+/2vm3btl6zwh45ciTk486a\\\n",
       "NcurLNwQ52nv3r1B123Xrp1bSEhISHAtCt+tW7eItKe6ysrKYt2EuFEXhoxWbtett95aa9sJILYY\\\n",
       "MgrEuYkTJ3qV7d+/X5988omGDBnitj2YSVgqS05OVs+ePbVw4UINGzZM0slej4ULF2r8+PE+9+nX\\\n",
       "r58WLlyoCRMmuMoWLFigfv36STq5wHlOTo4WLlyo7t27SzoZNlauXKmxY8f6bYvNZgt6ggdEx8GD\\\n",
       "B9W4ceOw949Wj/XYsWM1b948ffrpp0pMTKzyGcVQ5OfnB1WvqhvtDRs2yGKJ7SL1CE0oQa82By1+\\\n",
       "7gBUhUAIxLl169b5LO/du7cOHDjgWh4i3BuWiRMnatSoUerVq5f69Omj5557ToWFhRo9erQkaeTI\\\n",
       "kWrWrJlrJs+77rpL/fv31zPPPKMhQ4boww8/1OrVq/Xaa6+52jFhwgQ9+uijat++vdq0aaPJkycr\\\n",
       "NzfXFTpROzVp0iSoG8uWLVv6LK/4A0A0fPHFFxGZQMeXqm6oQ1mCg5vz+BHvgTApKSnWTQAQJwiE\\\n",
       "QJxbtGhRVI9/zTXX6ODBg5oyZYry8vLUvXt3zZ8/3zUpzM6dO92G55199tl6//339dBDD+nBBx9U\\\n",
       "+/btNW/ePJ122mmuOvfdd58KCwt1yy236NixYzr33HM1f/78sHp2qroRs9lscX0DbrVaa1X777jj\\\n",
       "Dv35z3/2uz0zM9Nvr1ptvGkOltVq9ftMYnl5eUjHIhTGh3gPhAwPBhAs1iEEEJcq1iEM5kZs6tSp\\\n",
       "NdCi6GrZsmWtem6ya9eu+vXXX1VcXBz0Ptu2bfM7CUxVNmzYEPPn8DZv3qwOHTp4lYcbBvj1G76a\\\n",
       "WIdw8uTJQf+RqqSkRI888kitWYcw0M8kP3cAPDGpDBCHLr74Yq1YsaLKesePH9cTTzwRcBkAxIed\\\n",
       "O3fGuglufvzxx5DCoHTy+dGqvPPOO66eGavVqq5du6p+/foxD4OS1LFjR6+y6vTCRGriG8BT5Yma\\\n",
       "xowZ4yp/6KGHYtgqALUVQ0aBOHTVVVfpyiuvVEZGhi677DL16tVLubm5SklJ0dGjR7Vx40Z98803\\\n",
       "+vzzzzVkyBA99dRTsW4yIqBfv35avnx5rJtRLfv37/dag7JCUlKSW8AyDEMbN26sqaYFJScnx229\\\n",
       "zOoMFTQMQz169PD7HDBiK96HjFZ4/fXX9frrr8e6GQBqMQIhEIfGjBmj6667TnPnztWcOXP02muv\\\n",
       "uZ7bslgs6tKliwYPHqzvvvtOnTt3jnFrESlLly4NaQKT2ignJ8fnkLWtW7fGxTNPnsulVLeXb/36\\\n",
       "9dXaH9FTVwIhAFQlvu8sABOz2Wy67rrrdN1110k6OT1+cXGxGjZsyOxydVRdWVTc16Qq7dq1i1Fr\\\n",
       "Qld5ghl/E82E4uqrr9ZHH31U7eMgsgiEAMyCBxiAOiIjI0M5OTmEwTos0DN79913n9tzQ06nU8XF\\\n",
       "xSovL3eVHT9+3Gu/inBmGIbat28fzeZ7nffVV1/V9u3ba93NtMVi0Z49e1xLq3gyDEN9+vSRYRg6\\\n",
       "9dRTq32+uXPnVvsYiLy6sDA9AASDQAgAtVjlG8569er5rffEE0947ZeSkuI2pDE9PV179uxxq1O5\\\n",
       "h+vnn39WampqBFsf2G233RbURDM1qaysTE6nU7m5uXrzzTf9zsj43XffyWq11qrJfkpKSvToo4+q\\\n",
       "sLAw1k2pE6IdCAmWAGoLAiEA1AEXXXRRUPUqL13hK+zE+zOKwSgsLHTrTX3++efVpk0blZeX+xyW\\\n",
       "u3r16qi36cCBAyHvM378eCUkJLiCRGpqqiZPnqz09HStXbs2Cq1EpBD8ANQmBEIAqAMWLFgQ1AQn\\\n",
       "5557rtv7Q4cOub33Nay0trnzzjt15MgRZWRkhLzv/v37vXpa77zzTv36669+P7+ePXuG1c5QZGdn\\\n",
       "B73AfUUIfOmll/w+w9irVy+/+4fa81UbX3a73S3U+3pVV00MGY1GuwEgVARCAKgjDMOo8sbUcybP\\\n",
       "xo0bu3qX4qHXorCwUM8//7yysrJ07NixoK65QkJCgpo0aRLWeWviRj0xMdEVLpKTk/Xhhx+6bT/1\\\n",
       "1FO9hvn6Q7CovpoIhAwXBVAbEAiBODdq1CgtWbIk1s1ALeLvxjJQkCgpKQnrXJmZmXI6nSopKYn6\\\n",
       "DW2fPn18PkfpdDp99rSUl5frt7/9rSwWixo0aFDtZS2ysrKqtX8oHA6HRowY4RYWtm3bVmPnR3iB\\\n",
       "0G63KyUlxfXq0aNHyOcEgJpGIATiXH5+vgYNGqT27dvrsccec5s0BObl68Yy0stWZGZm6ujRo7JY\\\n",
       "LLLZbHI6nfrvf/+rxMREJSYmqkuXLurQoUPQx2vcuLEcDocr0BUUFKhVq1ZKTU3Vli1btHLlypDa\\\n",
       "Z7Va9fnnn8vpdLrW6ayOI0eO+N02bdo0VzA9fvx4SNddkwYNGhTrJsSNcHsI7Xa761XVOpMMFQVQ\\\n",
       "GxAIgTg3b9487dmzR2PHjtWcOXPUunVr/fa3v9Xf/vY3ORyOWDcPMdS2bVvX17/97W8jfvzDhw97\\\n",
       "lXXr1k0Oh0MOh0M//vijNm/eHFTv48cff6wDBw64TWpTv359bd++XUVFRbVmnUJfQdtms2nq1Kmu\\\n",
       "benp6dq8ebN++eWXmm6eG7vd7lX21VdfxaAl8SncQGiz2Vyv7t27x+4CACBIBEKgDmjcuLEmTpyo\\\n",
       "77//XitXrlS7du10/fXXKzc3V3fffbe2bNkS6yYiBn799VfXzer8+fMjeuwNGzYENYmNdPIG2TAM\\\n",
       "vf32217blixZIsMwNGzYsIi2L1o8h92mpqb6Dbxt27YN2POTlZWlsrIy2e12JScnR7SdkpSSkuJV\\\n",
       "xpDE6LLZbCopKXG91q1bF+smAUCVCIRAHbJv3z4tWLBACxYsUEJCgi655BL98MMP6tKli5599tlY\\\n",
       "Nw9xpKCgwO9zeYZhqGvXriEfc9SoUV7HO++886LQ+vBV7vHp1KmTzzqV219UVFTlMQ3DUP369b3K\\\n",
       "jhw5ooSEBCUnJ8tutwc1WUyoPI8Z7EymqPlJZQAgVgiEQJxzOBz6+9//rksvvVStWrXS3LlzNWHC\\\n",
       "BO3du1d//etf9eWXX+qjjz7Sww8/HOumoha766673IKOZ4CpEGyvYDzyvLbNmzdH7NieAdsXi8Ui\\\n",
       "wzCqPflNZQsWLIjYscwmmoHQ388AzxICiIW6vwIxUMc1bdpUTqdTI0aM0KpVq3w+s3LBBRcoMzOz\\\n",
       "xtuG2u/+++/X448/HutmRFVxcbHb7KSh3IxXhLSalJCQ4HZOq9UadhsGDx4cqWaZUjR77gh/AGoL\\\n",
       "AiEQ55599lldddVVPp8XqpCZmcmU9fCprodBSV69nTabzeeEKxdccIEWLVrkVV5WVuY22U1Nczqd\\\n",
       "DCmMgVB6/vj+AIhndXfsD2AS119/fcAwCARihmfKPJ+jKy0t9VnP3wycvj6jiRMnKiMjQzt37qx+\\\n",
       "A4OwcOHCkPcJ1BMa7y+bzRaVZ/oqq4lnCAGgNiAQAoCJxbLnKxIuueQSJSYmBpxJN5QZVg3D0IgR\\\n",
       "I1zvc3NzZbPZ3OpYLBY9++yzrnUSLRZLRNY5DOTCCy+sso7FYlFCQoKmTp3KcMQIIBACMAsCIQDU\\\n",
       "YhU9ItFcOsQz8HhKSUlx3fSeffbZAes2aNDAFUySkpL83jy3atVKO3bs0MaNG137VH795je/qbLd\\\n",
       "FotF//73v1VeXq4OHTr4vSm/6KKLqjxWZe+//77rc9+zZ4/bNn8TzWRmZsakp37u3LmutjqdTpWV\\\n",
       "lWnatGk13g4AQPwiEAJAHGjXrl3Uen1KS0u1detWn9smTpzo9rzd8uXLfQafd955RxaLRcePH5ck\\\n",
       "VzjxZ+fOnWrdurW6du3q2qeyL7/8MqylLRo2bOiz3DAMJSQkSJLOP//8kI9boWXLln632e12WSyW\\\n",
       "qCwfIZ2cUbhCxWQ3v/vd76JyLtBDCMA8CIQAEEcKCwujctx27dr5LPe1fqXdbncLJ4ZhaNSoURFv\\\n",
       "08aNG/1u8xeOCwoK/O5TVlYmwzC0ePHisNuUmppaZZ2EhARXSLBarbJarUpOTtaSJUvCPq90cnhv\\\n",
       "5d5ARBeBEIBZEAgBII5UXj4hlpKTk11fR3NtQn+T3vi7AY9WYK7srrvuCrpuRYBzOBzq37+/LBaL\\\n",
       "KSbyqQsIhADMgkAIAAjLpk2b9MUXX0T1HEVFRX63eT7fN3/+fLegGi3PPfdctfbv0aNHZBoSgsOH\\\n",
       "Dys5OZngEgICIQCziO/p5QDAZObMmRPrJrgcOXJEb7zxRlTP4bmGYGW5ublxOZvm999/H/VztGvX\\\n",
       "zu9zoQgO6xACMAt6CAEgjvz+97+PdRNcTjvtNPXs2TNgnbKyMjmdTnXv3t1rm8Vi0d///ndt27Yt\\\n",
       "YPCrSyqGjUZTQkICYRAAEDQCIQDEiWgHieeff97tfVJSkt+6NptNGRkZuvPOO/3WqZjZ02KxaN26\\\n",
       "dV6LizudTg0fPlytW7dWQUGBq3z16tU6ceJEre3987ewfVV+/PFHff3115FtTCWHDx+O6iynZsOQ\\\n",
       "UQBmQSAEgFrMarXW2A3nhAkTZLFYlJWVJYvFEnDZiIrZPP3NunnFFVeE3Y6ePXsqLS3NreyMM85w\\\n",
       "u/mO9OQxRUVFrmOvXbs2YN2q1m30p0uXLmHtF6xGjRpF9fhmQyAEYBY8QwgAtVgsesmOHTtWZZ2q\\\n",
       "Jm/54IMPItSak/773/+6vU9PT4/YZ2MYhlsA7dmzp5KSknz2BIZ741+xBmI4Kp/T3zUTSCKPZwgB\\\n",
       "mAU9hACAkOzYsaPKOpGc7XP79u0+yyMVCBMTvf826nA4IhrGw11qwjNoWCwWr3UUo7nsh5nRQwjA\\\n",
       "LPgtAgBxJCkpyfWsXbNmzWr8/FarVS1btqyyXiRvkP0N0awqsDkcDg0dOrTKev6euVu5cmVwDZR0\\\n",
       "1lln6c033wxYJ9RewiNHjvgsHzBggFsQqa3PWsY7AiEAsyAQAkAcqTyMcffu3UHv9+2337qC5P79\\\n",
       "+8O+gY3FoupNmzb1WR6oZ+zdd99VcnKyPv30U1mt1rBC01lnneVV5jmc1m63yzAMLV++XKNHj5Zh\\\n",
       "GMrNzfV5PKfTKYvFom3btgV1/oYNG4bcZgAAQkUgBIA49cc//rHKOvv27ZNhGDr77LNdZU2aNJHT\\\n",
       "6XQFxGD5q2sYhi666CIlJiaqpKQk5j1WTqdTI0eOdCvzFx4ffPBBn+Xffvutz/KMjAy3mVJ9DY3d\\\n",
       "s2dPwPadeuqp9DjFAXoIAZgFgRAA4kjFDJvjx4/XY489VmXdnJycKo8ZiQD3xRdfyOFw+Bze+cYb\\\n",
       "b7humitmJ42mUIZmzpgxw2d55QAdqppe9mHZsmWugO9wOHTRRRfV6PnrKgIhALMgEAJAnElPT9dL\\\n",
       "L71UZb1QwteKFSuq0yS/DMPQTTfd5HqfkZGho0ePRuTYXbt29Srz17MnefcS+ruJr25Ars6MoqEo\\\n",
       "KiqSYRjq16+f61oSExP1xRdfyDAMXXfddTXSjrqKQAjALAiEAFBHpaenB123b9++ftcUrBDObJYX\\\n",
       "X3yxV9kpp5wS0jGOHz/us3zjxo1KSEjQ7t27NWPGDCUlJencc8/1exzDMKJ6A1+xZmRN2L9/f5Xf\\\n",
       "r3fffZcZSKuBQAjALPhNAQCQdLLHKZCKQPXSSy/J4XAEtTTD+PHjq92uBg0a+N3mdDrVokULPfjg\\\n",
       "gyorK6v2ufr16xfyPrGY7bNJkyZB1Tt8+HCUW1K3EQYBmAGBEADqqHACiq/F2D2NHz9eycnJSk5O\\\n",
       "rrJX7LLLLgu5DZX5m/QlWjZv3uxVVlBQIJvNpoSEBHXr1k0///yzvv322xrtEazstttuC7puYWFh\\\n",
       "FFsCAKgLvFfjBQDUCSUlJVUOK/Tkb3hmVXJzc7V3716f2yp6FiuEMumKv0lfouXIkSMqKipSvXr1\\\n",
       "JHk/Z7hhwwZ17NixRtvk6ZVXXgm6bjBrRsK3UHr/6CUEEM/oIQSAOmrp0qUh1b/jjjvCXvsuKysr\\\n",
       "4PbKSzUEe/NcU5OzeEpLS6u1QwFXrVoVUv2anvG0LuEZQgBmQSAEgDrqrrvuqrLOFVdc4bqhffHF\\\n",
       "F8M+148//hj2vv4QZty1aNFCvXv3Drp+27Zto9iauo9ACMAsCIQAUEf99NNPAbfv2bNH8+bNq9Y5\\\n",
       "rFZrVCZTWbJkScj7TJgwwdULmZSU5LNO27ZtVVJSUmWPZlWaN2+uoqIiOZ1OOZ1OlZeXu/WCGoah\\\n",
       "DRs2VOscnr777ruQ6v/6668RPb/ZEAgBmAXPEAKASbVo0SLsfevVqxfVCUsuvPDCkOrXq1dPzz77\\\n",
       "rOt9aWmp1016eXm5axmGI0eOhHUTb7fblZyc7FXu61hdu3ZVcXFxyM9x+pObm6vy8vKg6jZv3jwi\\\n",
       "5zQzniEEYBb0EAJAHRZoHbpwe/Y++OCDqIbBsrIyt+Dz7bffyjAMORwOv/v4uiE3DEObN2/WtGnT\\\n",
       "ZBiG12cRTCBOS0uT0+l09fr5CoOBpKSkhFQ/EKfTKYvFojVr1gSsV79+fe3Zsydi5zUreggBmAWB\\\n",
       "EADqsIpJXJ588smIHfP3v/99lXV2796t7t27u5Zm8PXy9Yzg448/7jbc0zAMnX322ZKkxMREFRcX\\\n",
       "+zxfYWGh8vPzvco7dOigqVOn+tzn6NGjAa/h8OHDOnHiRLVv9vPy8qq1v6devXoFDCYnTpwIuH+o\\\n",
       "Qac2vux2u9cQXc8XACA4DBkFABO4//77df/99yslJUW7d+9Wo0aNwjrOM88843db+/bt9csvvwR9\\\n",
       "rIpZRFNSUlRaWhrUJDKBetwyMzNDCgL+glNSUlJQ6zEGKzs7O2LHQs1hyCgAs6CHEABMpKSkJOww\\\n",
       "KEkTJ070KvvrX/8qi8USUhj0bFOwM4qeddZZAbdbLJagnrNr1qyZV9nFF18swzAiGgYrlJWVRfyY\\\n",
       "iC6GjAIwC3oIAQBe/vWvf+mSSy6R3W7XlClT1KFDB910001e9aI1y2iF888/3zXj6O7du7Vy5coq\\\n",
       "90lM9P7VlpaWpsaNG2vXrl1egdFqtQY9WUu4EhISVF5eHrO1FRE6eggBmAWBEADgxmq1asiQIZJO\\\n",
       "DtH09/xhVlZW1J/VWrp0aURutgsLC/1OhBPtMFihIjxHO0QjMgiEAMyCIaMAADfBhpVjx45FtyFx\\\n",
       "7OjRo37XAayYLTQSBg0a5DWZSklJSUSObXYMGQVgFvQQAgDc0HtVPZ49gJXXP6wQiVDYv39/LViw\\\n",
       "wKvcZrPJMAxt3LhRXbt2rdY5AAB1Hz2EAAAvZgqFke7p9PzsovXc4Ndffx1we5cuXWQYhr777ruA\\\n",
       "61HCN3oIAZgFvyEAAF7MFCCysrI0ZcoUSSfD3JAhQyJ+k+95LIfDUa3jhRLYe/XqpfLyctbnCxGB\\\n",
       "EIBZmOc3PgAgJPXr1/e77cwzz6zBlkTfI488IovFIqvVqs8//9xVHk7vXlpams9yi8Win3/+Wffe\\\n",
       "e6+Sk5PDaueKFSsIdTWEQAjALAiEAACfTpw44fNG97PPPtO6deu8yvv16+fqhXI4HBo5cmTcL7MQ\\\n",
       "7PqIlflb8F6SOnbsqKeffjqsthiGob59+4a1r+dx4v1ls9miHtAIhADMgkAIwCeHw6H7779f3bp1\\\n",
       "U1pamnJzczVy5Ejt3bu3yn1feukltW7dWikpKerbt69WrVrltr2kpETjxo1Tw4YNlZ6eriuvvFL7\\\n",
       "9++P1qWgmjxvfC+99FKvOsOHD9eyZctc7xMTE/XXv/5VZWVlPm/od+zYUZOXUC3hLCq/Z8+emLcB\\\n",
       "1UMgBGAWBEIAPhUVFWnt2rWaPHmy1q5dq3/84x/avHmzhg4dGnC/OXPmaOLEiZo6darWrl2rM844\\\n",
       "Q4MHD9aBAwdcde6++259+umnmjt3rhYvXqy9e/dq+PDh0b6kuOQZpHbu3BnrJvn097//PaT6LVu2\\\n",
       "dK3JV9tdcMEFIe+Tm5sb0TbEe08rAKD2qv2/iQHEREZGhhYsWKCrr75aHTt21FlnnaUXX3xRa9as\\\n",
       "CRhKZs6cqZtvvlmjR49Wly5dNGvWLNWrV09vvvmmJCk/P19vvPGGZs6cqQsvvFA9e/bUW2+9pWXL\\\n",
       "lmnFihU1dXlxq0WLFkpKSop1MyImHtYyrA0/lxs2bAh73969e7t6sWw2WwRbVbfRQwjALAiEAIKW\\\n",
       "n58vi8WizMxMn9tLS0u1Zs0aDRo0yFVmtVo1aNAgLV++XJK0Zs0aORwOtzqdOnVSy5YtXXUQWGlp\\\n",
       "aayb4OX48eNh7Rdo4ppgRbuXsTYM1+zWrZusVqsmT54cUntsNptWr17tel8bf3ZqKwIhALMgEAII\\\n",
       "SklJie6//36NGDFCDRo08Fnn0KFDKi8vV3Z2tlt5dna28vLyJEl5eXlKTk72CpWV6/hit9tVUFDg\\\n",
       "9jKzQJ9VLPj7mQiGvyUY5s+f7xoq6+uGu2JbTSyp8Kc//Smk+tEICIZh6NFHH1VSUpIsFktQi84T\\\n",
       "AKuHMAjADAiEACRJs2fPVnp6uuu1dOlS1zaHw6Grr75ahmHolVdeiUn7ZsyYoYyMDNerRYsWMWlH\\\n",
       "bZGdnV3rho6Gu5RCYmKiz/LBgwe7vvbsFfPXI1leXh5WG6ry0EMPBV23pgLCxo0ba+Q8ZlWTPYSE\\\n",
       "SwCxRCAEIEkaOnSo1q9f73r16tVL0v/C4I4dO7RgwYKAPUGNGjVSQkKC14yh+/fvV05OjiQpJydH\\\n",
       "paWlXs+OVa7jy6RJk5Sfn+967dq1K8wrrTtKS0tlt9trzU2kw+GIWi+d57DQ9PT0oOrVtJr+XgT6\\\n",
       "N4PqqalAWFv+/QIwLwIhAEknn+Vq166d65WamuoKg1u2bNGXX36phg0bBjxGcnKyevbsqYULF7rK\\\n",
       "nE6nFi5cqH79+kmSevbsqaSkJLc6mzdv1s6dO111fLHZbGrQoIHbCyc/c6fTKcMwdM8998S6OVEL\\\n",
       "ZJ7B58iRI1E5TyCTJk3yu83fsNZoO3DggLKyslSvXj3Vq1dPM2fOdA2frVevXo23py6piUDI/8cA\\\n",
       "1AYEQgA+ORwO/e53v9Pq1as1e/ZslZeXKy8vT3l5eW7PJQ0cOFAvvvii6/3EiRP1l7/8RX/961+1\\\n",
       "adMmjR07VoWFhRo9erSkk7OXjhkzRhMnTtSiRYu0Zs0ajR49Wv369dNZZ51V49dZ21XcbFYVxiXp\\\n",
       "qaeeisgkLdHQokUL17V4DjsuKiryuY/FYtHx48d1wQUXePU6N23a1O+5orU0x+OPP+6zPDU1tcZ7\\\n",
       "JhMTE7Vy5UpdccUVOnbsmIqLi1VcXKz/+7//k9VqldVqVXFxcY22CSefdU5JSXG9evToEbB+xdDn\\\n",
       "aD7/CgBVIRAC8GnPnj365z//qd27d6t79+5q2rSp61V5AfKtW7fq0KFDrvfXXHONnn76aU2ZMkXd\\\n",
       "u3fX+vXrNX/+fLeJZp599lldeumluvLKK3X++ecrJydH//jHP2r0+uLNkSNHZLFY1KRJk4D1Kq/3\\\n",
       "GCu+2rh7927X17fffrssFovatm2r9u3bKy0tze+xGjRooK+//tqrPNBkKS1atNBHH33ken/PPfd4\\\n",
       "recY7rOGFotFycnJat68uSvglpSUhHWsJk2auNqzd+/eoPczDEMOh0N9+vQJef1HBC/cHkK73e56\\\n",
       "rV+/PuDxJalDhw7RvhQACMj3k/wATK9169ZB/dV6+/btXmXjx4/X+PHj/e6TkpKil156SS+99FJ1\\\n",
       "mmhKBw8e1M6dO9WyZUuf22uiV6hz585atGiRWrVqJbvd7rX94MGDbu/99QD++uuvUWmfJF111VUB\\\n",
       "f36tVmvYwzwdDof27NlTneapbdu2+uWXX1zvmzZtqqeeekr33nuv330sFoucTqdXeatWrbRjx45q\\\n",
       "tQfeQhkKWrle5bUeO3fuXGX9zZs3h9lCAIgMeggBIM60atXK77aePXtG9dyGYWjjxo3Kzs5WSUmJ\\\n",
       "WrduXeU+tXkx9FgN1ascBitU9QyorzAoRTdYm1k4PYQ2m00lJSWu17p164I+T+X3kydPjtp1AYAn\\\n",
       "AiEA1CG+emwjxdcyF9u2batyv4SEhGg0B/9frGdWrauiOalMVRP+PPLII9VpOgCEhCGjAFCLhdqD\\\n",
       "5a8XKZqCaWNtnjSjNrUt3LbUpmuoK8IdMhqMwsJCv8fgewmgpvFnRQAAAAAwKXoIAQAAPESzh9AX\\\n",
       "egYBxAqBEAAAwENNB0IAiBUCIQAAgAcCIQCzIBACAAB4IBACMAsCIQAAgAcCIQCzYJZRAAAAADAp\\\n",
       "eggBAAA80EMIwCwIhAAAAB4IhADMgkAIAADggUAIwCwIhAAAAB4IhADMgkAIAADgA0EPgBkwyygA\\\n",
       "AAAAmBQ9hAAAAB4YMgrALAiEAAAAHgiEAMyCQAgAAOCBQAjALAiEAAAAHgiEAMyCQAgAAOCBQAjA\\\n",
       "LAiEAAAAHgiEAMyCZScAAAAAwKToIQQAAPBADyEAsyAQAgAAeCAQAjALAiEAAIAHAiEAsyAQAgAA\\\n",
       "eCAQAjALAiEAAIAHAiEAs2CWUQAAAAAwKXoIAQAAPNBDCMAsCIQAAAAeCIQAzIJACAAA4IFACMAs\\\n",
       "CIQAAAAeCIQAzIJACAAA4IFACMAsmGUUAAAAAEyKHkIAAAAP9BACMAsCIQAAgA8EPQBmQCAEAADw\\\n",
       "QA8hALMgEAIAAHggEAIwCwIhAACABwIhALMgEAIAAHggEAIwC5adAAAAAACToocQAADAAz2EAMyC\\\n",
       "QAgAAOCBQAjALAiEAAAAHgiEAMyCQAgAAOCBQAjALAiEAAAAHgiEAMyCWUYBAAAAwKToIQQAAPAQ\\\n",
       "zR5Cf/UNwwjpOAAQCfQQAgAAeKgIhMG+IqFhw4YROQ4AhIIeQgAAAA/R7CH07Ams2P/IkSMhHQcA\\\n",
       "IoFACKDOmz59eqybACDOhBMI7Xa7UlJSXOWdO3fWunXrotI+AIgUAiEAAICHcHsI7Xa76+v169dX\\\n",
       "ue9rr73m+ppnCAHEAoEQAAAgQmw2m+vrzp07V1n/1ltvjWZzAKBKBEIAAAAP4fQQ2mw2lZSUhHSO\\\n",
       "CvQOAogVZhkFEJTbbrtNFotFzz33XJV1X3rpJbVu3VopKSnq27evVq1a5ba9pKRE48aNU8OGDZWe\\\n",
       "nq4rr7xS+/fvj1LLASB00ZxldM2aNYRBALUGgRBAlT7++GOtWLFCubm5VdadM2eOJk6cqKlTp2rt\\\n",
       "2rU644wzNHjwYB04cMBV5+6779ann36quXPnavHixdq7d6+GDx8ezUsAgJBEMxD26tXL57latGgR\\\n",
       "yUsAgKAQCAEEtGfPHt1xxx2aPXu2kpKSqqw/c+ZM3XzzzRo9erS6dOmiWbNmqV69enrzzTclSfn5\\\n",
       "+XrjjTc0c+ZMXXjhherZs6feeustLVu2TCtWrIj25QBA0GpyDUJJ2r17d8SOBQDBIhAC8MvpdOr6\\\n",
       "66/Xvffeq65du1ZZv7S0VGvWrNGgQYNcZVarVYMGDdLy5cslnRwq5XA43Op06tRJLVu2dNUBgFiL\\\n",
       "Zg+hYRh+XwBQ05hUBoBfTzzxhBITE3XnnXcGVf/QoUMqLy9Xdna2W3l2drZ++uknSVJeXp6Sk5OV\\\n",
       "mZnpVScvL8/vse12u9t07gUFBUFeBQAAAPyhhxCAJGn27NlKT093vRYvXqznn39eb7/9dkSHRIVr\\\n",
       "xowZysjIcL141gZANEWzhxAAahMCIQBJ0tChQ7V+/XrXa9myZTpw4IBatmypxMREJSYmaseOHfq/\\\n",
       "//s/tW7d2ucxGjVqpISEBK8ZQ/fv36+cnBxJUk5OjkpLS3Xs2DG/dXyZNGmS8vPzXa9du3ZV63oB\\\n",
       "IBACIQCzYMgoAElS/fr1Vb9+fdf7W265RZdddplbncGDB+v666/X6NGjfR4jOTlZPXv21MKFCzVs\\\n",
       "2DBJJ59DXLhwocaPHy9J6tmzp5KSkrRw4UJdeeWVkqTNmzdr586d6tevn9/22Ww2twWfASCawlmH\\\n",
       "EADiEYEQgE8NGzZUw4YN3cqSkpKUk5Ojjh07usoGDhyoK664whX4Jk6cqFGjRqlXr17q06ePnnvu\\\n",
       "ORUWFrpCZEZGhsaMGaOJEyfqlFNOUYMGDXTHHXeoX79+Ouuss2ruAgEgAAIhALMgEAKolq1bt+rQ\\\n",
       "oUOu99dcc40OHjyoKVOmKC8vT927d9f8+fPdJpp59tlnZbVadeWVV8put2vw4MF6+eWXY9F8APCJ\\\n",
       "QAjALCwGcxwDiEMFBQWaOXMmN2IAfJo2bZry8/PVoEGDkPZLSUmR3W7X3r17g963oKBAubm5stls\\\n",
       "KikpCae5ABAzTCoDAAAAACbFkFEAAAAPDBkFYBYEQgAAAA8EQgBmQSAEAADwQCAEYBYEQgAAAA8E\\\n",
       "QgBmQSAEAADwQCAEYBbMMgoAAAAAJkUPIQAAgAd6CAGYBYEQAADAA4EQgFkQCAEAADwQCAGYBYEQ\\\n",
       "AADAA4EQgFkQCAEAADwQCAGYBbOMAgAAAIBJ0UMIIC4ZhhHrJgCo5arz/4njx48H3fN3/PjxsM8D\\\n",
       "ALFmMbirAhCHdu/erRYtWsS6GQBqsV27dql58+Yh7dOxY0f9/PPPYZ2vQ4cO2rx5c1j7AkCsEAgB\\\n",
       "xCWn06m9e/eqfv36pn5+p6CgQC1atNCuXbvUoEGDWDcnZvgcTuJzOMkwDB0/fly5ubmyWkN/OqZj\\\n",
       "x47asWNHSPu0atWKMAggLjFkFEBcslqtIf/lvy5r0KCBqQNABT6Hk/gcpIyMjLD3JdgBMBMmlQEA\\\n",
       "AAAAkyIQAgAAAIBJEQgBII7ZbDZNnTpVNpst1k2JKT6Hk/gcAAChYlIZAAAAADApeggBAAAAwKQI\\\n",
       "hAAAAABgUgRCAAAAADApAiEA1CIOh0P333+/unXrprS0NOXm5mrkyJHau3dvlfu+9NJLat26tVJS\\\n",
       "UtS3b1+tWrXKbXtJSYnGjRunhg0bKj09XVdeeaX2798frUuplqquxdPcuXPVqVMnpaSkqFu3bvr8\\\n",
       "88/dthuGoSlTpqhp06ZKTU3VoEGDtGXLlmheQrXNmDFDvXv3Vv369dWkSRMNGzYsqPXx6uJnAQCI\\\n",
       "HgIhANQiRUVFWrt2rSZPnqy1a9fqH//4hzZv3qyhQ4cG3G/OnDmaOHGipk6dqrVr1+qMM87Q4MGD\\\n",
       "deDAAVedu+++W59++qnmzp2rxYsXa+/evRo+fHi0LylkwVxLZcuWLdOIESM0ZswYrVu3TsOGDdOw\\\n",
       "YcO0YcMGV50nn3xSL7zwgmbNmqWVK1cqLS1NgwcPVklJSU1dVsgWL16scePGacWKFVqwYIEcDocu\\\n",
       "uugiFRYW+t2nrn4WAIAoMgAAtdqqVasMScaOHTv81unTp48xbtw41/vy8nIjNzfXmDFjhmEYhnHs\\\n",
       "2DEjKSnJmDt3rqvOpk2bDEnG8uXLo9f4MFR1LZ6uvvpqY8iQIW5lffv2NW699VbDMAzD6XQaOTk5\\\n",
       "xlNPPeXafuzYMcNmsxkffPBBFK4gOg4cOGBIMhYvXuy3jlk+CwBA5NBDCAC1XH5+viwWizIzM31u\\\n",
       "Ly0t1Zo1azRo0CBXmdVq1aBBg7R8+XJJ0po1a+RwONzqdOrUSS1btnTVqQ2CuRZPy5cvd6svSYMH\\\n",
       "D3bV37Ztm/Ly8tzqZGRkqG/fvrXq2quSn58vSTrllFP81jHLZwEAiBwCIQDUYiUlJbr//vs1YsQI\\\n",
       "NWjQwGedQ4cOqby8XNnZ2W7l2dnZysvLkyTl5eUpOTnZK1RWrlMbBHMtnvLy8qq89oqyYI9Z2zid\\\n",
       "Tk2YMEHnnHOOTjvtNL/1zPBZAAAii0AIADE0e/Zspaenu15Lly51bXM4HLr66qtlGIZeeeWVGLYS\\\n",
       "sTZu3Dht2LBBH374YaybAgCoYxJj3QAAMLOhQ4eqb9++rvfNmjWT9L8wuGPHDn311Vd+ewclqVGj\\\n",
       "RkpISPCaMXT//v3KycmRJOXk5Ki0tFTHjh1z6yWsXKc2COZaPOXk5FR57RVlTZs2davTvXv3CLY+\\\n",
       "OsaPH69//etfWrJkiZo3bx6wbl3/LAAAkUcPIQDEUP369dWuXTvXKzU11RUGt2zZoi+//FINGzYM\\\n",
       "eIzk5GT17NlTCxcudJU5nU4tXLhQ/fr1kyT17NlTSUlJbnU2b96snTt3uurUBsFci6d+/fq51Zek\\\n",
       "BQsWuOq3adNGOTk5bnUKCgq0cuXKWnXtngzD0Pjx4/Xxxx/rq6++Ups2barcp65+FgCAKIr1rDYA\\\n",
       "gP8pLS01hg4dajRv3txYv369sW/fPtfLbre76l144YXGn//8Z9f7Dz/80LDZbMbbb79tbNy40bjl\\\n",
       "lluMzMxMIy8vz1XntttuM1q2bGl89dVXxurVq41+/foZ/fr1q9HrC0ZV13L99dcbDzzwgKv+t99+\\\n",
       "ayQmJhpPP/20sWnTJmPq1KlGUlKS8cMPP7jqPP7440ZmZqbxySefGP/973+Nyy+/3GjTpo1RXFxc\\\n",
       "49cXrLFjxxoZGRnG119/7fZzUFRU5Kpjls8CABA9BEIAqEW2bdtmSPL5WrRokateq1atjKlTp7rt\\\n",
       "++c//9lo2bKlkZycbPTp08dYsWKF2/bi4mLj9ttvN7Kysox69eoZV1xxhbFv374auKrQBbqW/v37\\\n",
       "G6NGjXKr/9FHHxkdOnQwkpOTja5duxqfffaZ23an02lMnjzZyM7ONmw2mzFw4EBj8+bNNXEpYfP3\\\n",
       "c/DWW2+56pjlswAARI/FMAwjNn2TAAAAAIBY4hlCAAAAADApAiEAAAAAmBSBEAAAAABMikAIAAAA\\\n",
       "ACZFIAQAAAAAkyIQAgAAAIBJEQgBAAAAwKQIhAAAAABgUgRCAEBceOONN3TRRRdF/Tzz589X9+7d\\\n",
       "5XQ6o34uAABijUAIAKj1SkpKNHnyZE2dOjXq57r44ouVlJSk2bNnR/1cAADEGoEQAFDr/e1vf1OD\\\n",
       "Bg10zjnn1Mj5brjhBr3wwgs1ci4AAGKJQAgAqDEHDx5UTk6OHnvsMVfZsmXLlJycrIULF/rd78MP\\\n",
       "P9Rll13mVjZgwABNmDDBrWzYsGG64YYbXO9bt26tRx99VCNHjlR6erpatWqlf/7znzp48KAuv/xy\\\n",
       "paen6/TTT9fq1avdjnPZZZdp9erV2rp1a/gXCwBAHCAQAgBqTOPGjfXmm29q2rRpWr16tY4fP67r\\\n",
       "r79e48eP18CBA/3u980336hXr15hnfPZZ5/VOeeco3Xr1mnIkCG6/vrrNXLkSF133XVau3at2rZt\\\n",
       "q5EjR8owDNc+LVu2VHZ2tpYuXRrWOQEAiBcEQgBAjbrkkkt0880369prr9Vtt92mtLQ0zZgxw2/9\\\n",
       "Y8eOKT8/X7m5uWGf79Zbb1X79u01ZcoUFRQUqHfv3rrqqqvUoUMH3X///dq0aZP279/vtl9ubq52\\\n",
       "7NgR1jkBAIgXBEIAQI17+umnVVZWprlz52r27Nmy2Wx+6xYXF0uSUlJSwjrX6aef7vo6OztbktSt\\\n",
       "WzevsgMHDrjtl5qaqqKiorDOCQBAvCAQAgBq3NatW7V37145nU5t3749YN2GDRvKYrHo6NGjVR63\\\n",
       "vLzcqywpKcn1tcVi8VvmuczEkSNH1Lhx4yrPCQBAPCMQAgBqVGlpqa677jpdc801euSRR3TTTTd5\\\n",
       "9c5VlpycrC5dumjjxo1e2zyHef76668RaWNJSYm2bt2qHj16ROR4AADUVgRCAECN+uMf/6j8/Hy9\\\n",
       "8MILuv/++9WhQwfdeOONAfcZPHiwvvnmG6/yTz75RP/4xz+0detW/elPf9LGjRu1Y8cO7dmzp1pt\\\n",
       "XLFihWw2m/r161et4wAAUNsRCAEANebrr7/Wc889p3fffVcNGjSQ1WrVu+++q6VLl+qVV17xu9+Y\\\n",
       "MWP0+eefKz8/3618yJAhevLJJ9WlSxctWbJEL7/8slatWqV33323Wu384IMPdO2116pevXrVOg4A\\\n",
       "ALWdxag8zzYAALXUVVddpTPPPFOTJk2SdHIdwu7du+u5556L6HkOHTqkjh07avXq1WrTpk1Ejw0A\\\n",
       "QG1DDyEAIC489dRTSk9Pj/p5tm/frpdffpkwCAAwBXoIAQBxKVo9hAAAmAmBEAAAAABMiiGjAAAA\\\n",
       "AGBSBEIAAAAAMCkCIQAAAACYFIEQAAAAAEyKQAgAAAAAJkUgBAAAAACTIhACAAAAgEkRCAEAAADA\\\n",
       "pAiEAAAAAGBSBEIAAAAAMCkCIQAAAACYFIEQAAAAAEyKQAgAAAAAJkUgBAAAAACT+n+isC746tec\\\n",
       "3wAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim08a5f887ab39444fad184bc32df3df11 = new Animation(frames, img_id, slider_id, 200.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# display the animation (press \"play\" to start)\n",
    "HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8dfd4b1c-0f7b-438d-9c06-1abd3c2f8aa3",
   "metadata": {},
   "source": [
    "To save the animation as a file, uncomment the line below\n",
    "\n",
    "> Note: can take several more minutes to complete"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "20b92a33-34b6-4c55-8036-99c19a05d251",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:43:49.124401Z",
     "start_time": "2026-03-16T15:39:31.242339Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ani.save(\"img/animation_wdm_autograd.gif\", fps=30)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ddbb4884",
   "metadata": {},
   "source": [
    "## Export to GDS\n",
    "The `Simulation` object has the [.to_gds_file](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html#tidy3d.Simulation.to_gds_file) convenience function to export the final design to a `GDS` file. In addition to a file name, it is necessary to set a cross-sectional plane (`z = 0` in this case) on which to evaluate the geometry, a `frequency` to evaluate the permittivity, and a `permittivity_threshold` to define the shape boundaries in custom mediums. See the [GDS export](https://www.flexcompute.com/tidy3d/examples/notebooks/GDSExport/) notebook for a detailed example on using `.to_gds_file` and other GDS related functions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "9f283dab",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-03-16T15:43:49.202374Z",
     "start_time": "2026-03-16T15:43:49.174197Z"
    }
   },
   "outputs": [],
   "source": [
    "sim_final.to_gds_file(\n",
    "    fname=\"./misc/inv_des_wdm_ag.gds\",\n",
    "    z=0,\n",
    "    permittivity_threshold=(n_si**2 + 1) / 2,\n",
    "    frequency=freq0,\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates the adjoint optimization of a wavelength division multiplexer using autograd.",
  "feature_image": "./img/adjoint_9.png",
  "features": [
   "Adjoint inverse design",
   "2D simulation"
  ],
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "keywords": "inverse design, WDM, design optimization, adjoint, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  },
  "title": "Adjoint Optimization of a WDM in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
