{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "6f7e13f2-8db9-4cab-86fa-a3e296246174",
   "metadata": {},
   "source": [
    "# MMI-based NIR/MIR demultiplexer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2322ea40-e4e7-4229-824e-78a73425d029",
   "metadata": {},
   "source": [
    "Note: the cost of running the FDTD portion of the notebook is larger than 10 FlexCredits. The cost of running the EME portion is minimal.\n",
    "\n",
    "This notebook introduces an MMI-based beam splitter demultiplexer designed for the NIR/MIR wavelengths. The device separates the two wavelengths, with 2 μm forming a direct image at the bar port, and 1.55 μm forming a mirrored image at the cross port. This separation is achieved by optimizing the MMI length. The eigenmode expansion method (EME) is very efficient for designing large MMI components because it doesn't require meshing the multimode region. Even though `Tidy3D`'s FDTD solver is ultrafast, using EME can be advantageous in some situations. For example, when you are interested in just a few wavelengths, simulating very long waveguide structures using EME can be much faster than FDTD.\n",
    "\n",
    "In this example, we first demonstrate the optimization of MMI length using the EME solver, which is low-cost and very time-efficient. Once the optimum MMI length is found, we further use FDTD to verify the design performance. This combined approach of EME and FDTD allows for efficient and accurate photonic component design optimization.\n",
    "\n",
    "The design used in this notebook is based on `M-Said Rouifed, Callum G. Littlejohns, Guo X. Tina, Haodong Qiu, Jordi Soler Penades, Milos Nedeljkovic, Zecen Zhang, Chongyong Liu, David J. Thomson, Goran Z. Mashanovich, Graham T. Reed, and Hong Wang, \"Ultra-compact MMI-based beam splitter demultiplexer for the NIR/MIR wavelengths of 1.55 μm and 2 μm,\" Opt. Express 25, 10893-10900 (2017)` [DOI: 10.1364/OE.25.010893](https://doi.org/10.1364/OE.25.010893).\n",
    "\n",
    "<img src=\"img/mmi_mux.png\" width=\"500\" alt=\"Schematic of the MMI demultiplexer\">\n",
    "\n",
    "For a more detailed demonstration of the EME solver, please refer to the dedicated [tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/EMESolver/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cc58ad4c-040c-4185-af13-24e3c1e16a47",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "221c3e4d-6bf4-49d6-b02d-ab7daa6b2c85",
   "metadata": {},
   "source": [
    "## EME Simulations to Find the Optimal MMI Length"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eee8d43d-96e8-4349-8b16-15e612849b9e",
   "metadata": {},
   "source": [
    "The operating principle of the MMI structure relies on the self-image effect. This effect involves exciting multiple guided modes in a multimode waveguide region to create constructive interference, forming one or more images of the original optical mode. These images appear at set intervals along the propagation path. However, when the modal excitations are restricted, only certain modes are activated. This results in either a direct or mirrored image of the original optical mode. To achieve this restricted interference, the input/output of a 1x2 MMI coupler should be placed at ±$s=w_{mmi}/6$ from the center of the multimode region, where $w_{mmi}$ is the width of the multimode region (see the [reference](https://doi.org/10.1364/OE.25.010893) for more details). \n",
    "\n",
    "The length of the multimode region, $l_{mmi}$, can be optimized so that at a specific target wavelength, the direct image appears at one port, while at a different wavelength, the mirrored image appears at another port. This design allows the device to function as a wavelength demultiplexer, separating light based on wavelength. Here we set up an [EMESimulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMESimulation.html) and utilize [EMELengthSweep](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMELengthSweep.html) to optimize $w_{mmi}$.\n",
    "\n",
    "First, set up the basic simulation parameters. The two target wavelengths are 1.55 μm and 2 μm. The width of the multimode region is set to 6 μm. Both input and output waveguides are 1.3 μm in width. The design is based on silicon rib waveguide. The silicon layer thickness is 340 nm and the partial etch depth is 240 nm.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e5e81e94-bbb6-49b7-95ae-989fa7317f46",
   "metadata": {},
   "outputs": [],
   "source": [
    "lda0 = 1.55  # first target wavelength\n",
    "lda1 = 2.0  # second target wavelength\n",
    "freq0 = td.C_0 / lda0  # first target frequency\n",
    "freq1 = td.C_0 / lda1  # second target frequency\n",
    "\n",
    "w_mmi = 6  # width of the mmi\n",
    "w_in = 1.3  # width of the input waveguide\n",
    "w_out = 1.3  # width of the output waveguides\n",
    "d = 0.24  # rib thickness\n",
    "t = 0.1  # slab thickness\n",
    "s = w_mmi * (1 / 6)  # lateral offset\n",
    "l_mmi_0 = 300  # initial length of the mmi\n",
    "inf_eff = 1e4  # effective infinity\n",
    "\n",
    "buffer_x = 5  # buffer spacing in x\n",
    "buffer_y = 1  # buffer spacing in y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd1ba274-e007-4721-a2f9-845b45659f0a",
   "metadata": {},
   "source": [
    "We directly use the silicon and silicon oxide materials from the [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html) for convenience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3117118d-cf3c-4417-b8d5-1f7f1f9b5190",
   "metadata": {},
   "outputs": [],
   "source": [
    "si = td.material_library[\"cSi\"][\"Palik_Lossless\"]\n",
    "sio2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfdbd32d-b3e0-49d0-a0f5-6611512264c0",
   "metadata": {},
   "source": [
    "Next we define a function `make_mmi_structures(l_mmi)` that creates the MMI structures based on the length of the multimode region."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "929a2f37-cc70-4417-ac58-8aaefa31752a",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_mmi_structures(l_mmi):\n",
    "    # define the silicon slab\n",
    "    slab = td.Structure(\n",
    "        geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t)),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # define the input waveguide\n",
    "    wg_in = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-inf_eff, s - w_in / 2, t), rmax=(0, s + w_in / 2, t + d)\n",
    "        ),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # define the mmi region\n",
    "    mmi = td.Structure(\n",
    "        geometry=td.Box.from_bounds(rmin=(0, -w_mmi / 2, t), rmax=(l_mmi, w_mmi / 2, t + d)),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # define the top output waveguide\n",
    "    wg_out_top = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(l_mmi, s - w_in / 2, t), rmax=(inf_eff, s + w_in / 2, t + d)\n",
    "        ),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    # define the bottom output waveguide\n",
    "    wg_out_bottom = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(l_mmi, -s - w_in / 2, t), rmax=(inf_eff, -s + w_in / 2, t + d)\n",
    "        ),\n",
    "        medium=si,\n",
    "    )\n",
    "\n",
    "    return [slab, wg_in, mmi, wg_out_top, wg_out_bottom]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4acfa5b2-1d94-42fb-a4ac-a607c9cffe00",
   "metadata": {},
   "source": [
    "The direct result from an EME simulation is the S parameters expressed in the modal basis. In the 1x2 MMI case, the mode at the output waveguides are the supermodes. In practice, we would like to know the fundamental mode transmission at each waveguide individually. This requires performing a change of basis. To do so, we need to obtain the fundamental mode profile at each output waveguide, which can be done by defining a [ModeSolverMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSolverMonitor.html) at each waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "54454d85-b04e-4844-8b82-ed8320b54790",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define a mode solver monitor at the top output waveguide\n",
    "mode_spec = td.ModeSpec(num_modes=1, target_neff=3.5)\n",
    "mode_monitor_top = td.ModeSolverMonitor(\n",
    "    name=\"top\",\n",
    "    size=(0, 2 * w_in, td.inf),\n",
    "    center=(l_mmi_0 + buffer_x / 2, s, t),\n",
    "    freqs=[freq0, freq1],\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "# define a mode solver monitor at the bottom output waveguide\n",
    "mode_monitor_bottom = td.ModeSolverMonitor(\n",
    "    name=\"bottom\",\n",
    "    size=(0, 2 * w_in, td.inf),\n",
    "    center=(l_mmi_0 + buffer_x / 2, -s, t),\n",
    "    freqs=[freq0, freq1],\n",
    "    mode_spec=mode_spec,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bceacb97-6897-40ba-a377-0fbc5e80b1a0",
   "metadata": {},
   "source": [
    "For an EME simulation, we need to define two sets of grid specifications, one for mode solving and the other for EME propagation. For mode solving, we will use an automatic nonuniform grid with 15 steps per wavelength. For the EME grid, we will use [EMEExplicitGrid](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMEExplicitGrid.html) since we only need to place a grid boundary where the structure changes, i.e. the interfaces between the waveguides and the multimode region. We also need to specify the number of modes to be used in EME. The number of modes needs to be sufficiently large for the EME simulation to be accurate.\n",
    "\n",
    "When doing an EME simulation, we can easily perform a length sweep by specifying the `sweep_spec`. In this case, we will sweep the multimode region length from 251 μm to 350 μm in 100 simulations. The eigenmodes only need to be solved once for the entire length sweep so the simulation time will be very short."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b1080db4-7aa9-4245-ace5-ce819d18546d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define the yee cell grid spec\n",
    "grid_spec = td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0)\n",
    "\n",
    "# define eme grid spec\n",
    "eme_grid_spec = td.EMEExplicitGrid(\n",
    "    boundaries=[0, l_mmi_0],\n",
    "    mode_specs=[\n",
    "        td.EMEModeSpec(num_modes=6),\n",
    "        td.EMEModeSpec(num_modes=10),\n",
    "        td.EMEModeSpec(num_modes=6),\n",
    "    ],\n",
    ")\n",
    "\n",
    "l_mmi_list = np.linspace(251, 350, 100)  # range of the mmi length to simulate\n",
    "\n",
    "# define eme simulation\n",
    "eme_sim = td.EMESimulation(\n",
    "    center=(l_mmi_0 / 2, 0, t + d / 2),\n",
    "    size=(l_mmi_0 + 2 * buffer_x, w_mmi + 2 * buffer_y, 7 * (d + t)),\n",
    "    structures=make_mmi_structures(l_mmi_0),\n",
    "    monitors=[mode_monitor_top, mode_monitor_bottom],\n",
    "    grid_spec=grid_spec,\n",
    "    eme_grid_spec=eme_grid_spec,\n",
    "    freqs=[freq0, freq1],\n",
    "    axis=0,\n",
    "    medium=sio2,\n",
    "    port_offsets=(buffer_x / 2, buffer_x / 2),\n",
    "    sweep_spec=td.EMELengthSweep(scale_factors=list(l_mmi_list / l_mmi_0)),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46de4715-7fda-4662-a0b6-306c4f3ce958",
   "metadata": {},
   "source": [
    "Before running the simulation, visualize the simulation to verify the setup is correct."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "17f040df-4237-4125-b06e-37a7f8dc5648",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = eme_sim.plot(z=t + d / 2)\n",
    "ax.set_aspect(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d07ac953-4dea-42db-8d55-1beb3539f9a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = eme_sim.plot(x=0)\n",
    "ax.set_aspect(\"auto\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc1e26ab-2253-493c-b8c2-2cb49b1b5428",
   "metadata": {},
   "source": [
    "Now we can submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2c9e6703-b0a1-4a2d-b313-ec864fa18215",
   "metadata": {},
   "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\">16:02:39 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'MMI_EME'</span> with task_id                               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'eme-0d9978e7-afb7-44ee-a7ad-87699d00ef41'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'EME'</span>.   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:02:39 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MMI_EME'\u001b[0m with task_id                               \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'eme-0d9978e7-afb7-44ee-a7ad-87699d00ef41'\u001b[0m and task_type \u001b[32m'EME'\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>Tidy3D's EME solver is currently in the beta stage. Cost of EME   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>simulations is subject to change in the future.                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTidy3D's EME solver is currently in the beta stage. Cost of EME   \n",
       "\u001b[2;36m              \u001b[0msimulations is subject to change in the future.                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "94b0b7553dd34cd29bdf97e6ae3512f5",
       "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\">16:02:41 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.051</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;36m16:02:41 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.051\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\">16:02:43 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:02:43 CEST\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": "97d6f941b0504dbeaf57f2b2e61fcc08",
       "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\">16:02:59 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:02:59 CEST\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": "485790687a2d4b98a1e41cef58316075",
       "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\">16:03:35 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:03:35 CEST\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": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "072b5aab052d459b92eba81f9117803e",
       "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\">16:03:41 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:03:41 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eme_sim_data = web.run(eme_sim, task_name=\"MMI_EME\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0548f95e-b07a-41ba-8102-94822097bfeb",
   "metadata": {},
   "source": [
    "After the EME simulation is complete, we first visualize the mode profile at the output waveguide. As expected, we see the fundamental mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9a740220-a0da-4dd6-bda8-e802f8bbd8aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eme_sim_data.plot_field(\"top\", \"E\", \"abs\", f=freq0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32207e7a-aab0-4080-9d81-38ee6d04241f",
   "metadata": {},
   "source": [
    "With this, we can calculate the transmission of the fundamental mode at both output waveguides by using [smatrix_in_basis](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMESimulationData.html#tidy3d.EMESimulationData.smatrix_in_basis). First, calculate and plot the transmission at 1.55 μm. Around 290 μm, we see a high transmission to the bottom waveguide and a low transmission to the top waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "943fe502-c76c-49ae-93c7-7a9ffbd60aac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T_top_freq0 = (\n",
    "    eme_sim_data.smatrix_in_basis(modes2=eme_sim_data[\"top\"])\n",
    "    .S21.sel(f=freq0, mode_index_in=0)\n",
    "    .squeeze(drop=True)\n",
    "    .abs\n",
    "    ** 2\n",
    ")\n",
    "T_bottom_freq0 = (\n",
    "    eme_sim_data.smatrix_in_basis(modes2=eme_sim_data[\"bottom\"])\n",
    "    .S21.sel(f=freq0, mode_index_in=0)\n",
    "    .squeeze(drop=True)\n",
    "    .abs\n",
    "    ** 2\n",
    ")\n",
    "\n",
    "plt.plot(l_mmi_list, T_top_freq0, c=\"blue\", linewidth=2, label=\"Top waveguide\")\n",
    "plt.plot(l_mmi_list, T_bottom_freq0, c=\"red\", linewidth=2, label=\"Bottom waveguide\")\n",
    "plt.title(f\"Transmission at {lda0} μm\")\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel(\"MMI region length (μm)\")\n",
    "plt.ylabel(\"Transmission power\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93e8b469-5238-43d3-aade-c18634284778",
   "metadata": {},
   "source": [
    "Similarly, calculate and plot the transmission at 2 μm. Around 290 μm we see a high transmission to the top waveguide and low transmission to the bottom waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3718acf4-9316-40dd-9624-6a3fd8731724",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T_top_freq1 = (\n",
    "    eme_sim_data.smatrix_in_basis(modes2=eme_sim_data[\"top\"])\n",
    "    .S21.sel(f=freq1, mode_index_in=0)\n",
    "    .squeeze(drop=True)\n",
    "    .abs\n",
    "    ** 2\n",
    ")\n",
    "T_bottom_freq1 = (\n",
    "    eme_sim_data.smatrix_in_basis(modes2=eme_sim_data[\"bottom\"])\n",
    "    .S21.sel(f=freq1, mode_index_in=0)\n",
    "    .squeeze(drop=True)\n",
    "    .abs\n",
    "    ** 2\n",
    ")\n",
    "\n",
    "plt.plot(l_mmi_list, T_top_freq1, c=\"blue\", linewidth=2, label=\"Top waveguide\")\n",
    "plt.plot(l_mmi_list, T_bottom_freq1, c=\"red\", linewidth=2, label=\"Bottom waveguide\")\n",
    "plt.title(f\"Transmission at {lda1} μm\")\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel(\"MMI region length (μm)\")\n",
    "plt.ylabel(\"Transmission power\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41890626-14d2-4ab6-b0e1-769a760e6f14",
   "metadata": {},
   "source": [
    "To find the optimal design, we will use two metrics, the contrast and the insertion loss. Now we calculate and plot the contrasts at 1.55 μm and 2 μm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "eb6f752c-534e-4778-97fd-56568db9a963",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(\n",
    "    l_mmi_list,\n",
    "    10 * np.log10(T_top_freq1 / T_bottom_freq1),\n",
    "    c=\"blue\",\n",
    "    linewidth=2,\n",
    "    label=f\"{lda1} μm\",\n",
    ")\n",
    "plt.plot(\n",
    "    l_mmi_list,\n",
    "    10 * np.log10(T_bottom_freq0 / T_top_freq0),\n",
    "    c=\"red\",\n",
    "    linewidth=2,\n",
    "    label=f\"{lda0} μm\",\n",
    ")\n",
    "plt.xlim(280, 295)\n",
    "plt.xlabel(\"MMI region length (μm)\")\n",
    "plt.ylabel(\"Contrast (dB)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "326b244c-9552-4148-b559-a0d9afe36461",
   "metadata": {},
   "source": [
    "Next, calculate and plot the insertion loss at 1.55 μm and 2 μm. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c7cd55c8-8fe8-4925-a066-67b18524ec17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(l_mmi_list, 10 * np.log10(T_top_freq1), c=\"blue\", linewidth=2, label=f\"{lda1} μm\")\n",
    "plt.plot(l_mmi_list, 10 * np.log10(T_bottom_freq0), c=\"red\", linewidth=2, label=f\"{lda0} μm\")\n",
    "plt.xlim(280, 295)\n",
    "plt.xlabel(\"MMI region length (μm)\")\n",
    "plt.ylabel(\"Insertion loss (dB)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fc1e2828-4f64-4e83-be0a-95becadc1a10",
   "metadata": {},
   "source": [
    "We want to have a high contrast and low insertion loss at the same time. The optimal $l_{mmi}$ appears to be around 287-290 μm. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6312fdeb-0c08-4e7d-ba12-baa030d26752",
   "metadata": {},
   "source": [
    "## FDTD Simulation of the Optimal Design"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0627810e-9ee8-4d4b-b9f1-0185f164b57c",
   "metadata": {},
   "source": [
    "Now that we have used EME to narrow down the optimal range of $l_{mmi}$, the next step would be to verify and fine-tune the design using full-wave FDTD. One can perform a parameter sweep of $l_{mmi}$ to identify the best value. For simplicity, here we only examine the case where $l_{mmi}$=287 μm.\n",
    "\n",
    "EME is a frequency-domain method. In order to obtain a spectrum, one needs to sweep the frequency. FDTD on the other hand is a time-domain method. A wide spectral response can be obtained in one single simulation. In the FDTD simulation, we will calculate the transmission from 1.4 μm to 2.2 μm.\n",
    "\n",
    "We will define [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) to excite the input waveguide with the fundamental mode. [ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html) will be used to measure the transmission of the fundamental mode. For visualization of the self imaging, we also use [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) to record the field at 1.55 μm and 2 μm. To reduce the data size, we downsample the field monitor data by a factor of 3 in the $x$ and $y$ directions by setting `interval_space=(3, 3, 1)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "dd880b72-a2d7-4562-8abe-cda6c664f58c",
   "metadata": {},
   "outputs": [],
   "source": [
    "l_mmi_opt = 287  # optimal multimode region length\n",
    "ldas = np.linspace(1.4, 2.2, 201)  # wavelength range of interest\n",
    "freqs = td.C_0 / ldas  # frequency range of interest\n",
    "\n",
    "# define a mode source as excitation\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-buffer_x / 2, s, t),\n",
    "    size=(0, 2 * w_in, td.inf),\n",
    "    source_time=td.GaussianPulse(freq0=(freq0 + freq1) / 2, fwidth=0.5 * (freq0 - freq1)),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    "    num_freqs=7,\n",
    ")\n",
    "\n",
    "# define a mode monitor at the top output waveguide\n",
    "mode_monitor_top = td.ModeMonitor(\n",
    "    name=\"top\",\n",
    "    size=(0, 2 * w_in, td.inf),\n",
    "    center=(l_mmi_opt + buffer_x / 2, s, t),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "# define a mode monitor at the bottom output waveguide\n",
    "mode_monitor_bottom = td.ModeMonitor(\n",
    "    name=\"bottom\",\n",
    "    size=(0, 2 * w_in, td.inf),\n",
    "    center=(l_mmi_opt + buffer_x / 2, -s, t),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    ")\n",
    "\n",
    "# define a field monitor (with downsampling) to visualize field distribution\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, t + d / 2),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    interval_space=(3, 3, 1),\n",
    "    freqs=[freq0, freq1],\n",
    "    name=\"field\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6228d1f-9292-44a5-9e1f-04508741a8fc",
   "metadata": {},
   "source": [
    "Finally, define the FDTD simulation. \n",
    "\n",
    "Since the MMI is long, we need a substantial `run_time` to ensure convergence. Here we use 25 ps. \n",
    "\n",
    "Both silicon and silicon oxide are dispersive materials and they extend into the simulation boundaries. In this case, using PML could cause the simulation to diverge. To eliminate this concern, we use the [absorber](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Absorber.html) boundary condition. The default number of absorber layers is 40. To further minimize reflection, we use 60 layers in the $+x$ direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "31e7437f-779f-4b50-82c8-6cf8b03b8972",
   "metadata": {},
   "outputs": [],
   "source": [
    "run_time = 2.5e-11  # simulation run time\n",
    "\n",
    "# construct simulation\n",
    "fdtd_sim = td.Simulation(\n",
    "    center=(l_mmi_opt / 2, 0, t + d / 2),\n",
    "    size=(l_mmi_opt + 2 * buffer_x, w_mmi + 2 * buffer_y, 7 * (d + t)),\n",
    "    grid_spec=grid_spec,\n",
    "    structures=make_mmi_structures(l_mmi_opt),\n",
    "    sources=[mode_source],\n",
    "    monitors=[mode_monitor_top, mode_monitor_bottom, field_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec(\n",
    "        x=td.Boundary(plus=td.Absorber(num_layers=60), minus=td.Absorber()),\n",
    "        y=td.Boundary.absorber(),\n",
    "        z=td.Boundary.absorber(),\n",
    "    ),\n",
    "    medium=sio2,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "414e023f-c183-4091-bc94-b704636873ae",
   "metadata": {},
   "source": [
    "Verify the simulation setup by plotting it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "3f30658e-2aca-435e-8333-43f979703779",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = fdtd_sim.plot(z=t + d / 2)\n",
    "ax.set_aspect(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c809a22-51ea-4bd1-8b62-632cbdd4f8fc",
   "metadata": {},
   "source": [
    "Before running large FDTD simulations, it is always recommended to check the estimated cost first. This task is estimated to cost over 60 credits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "3d4744e9-ad08-4c0e-a530-ee3c5e1410f6",
   "metadata": {},
   "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\">16:04:29 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'MMI_FDTD'</span> with task_id                              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a1800328-bc3e-4777-9cfa-83e1f688774f'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:04:29 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MMI_FDTD'\u001b[0m with task_id                              \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-a1800328-bc3e-4777-9cfa-83e1f688774f'\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-a1800328-bc3e-4777-9cfa-83e1f688774f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">3e-4777-9cfa-83e1f688774f'</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=959771;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=64588;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=959771;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=628042;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=959771;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32m-a1800328-bc\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=959771;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[32m3e-4777-9cfa-83e1f688774f'\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/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" 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=550714;https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "765e8856993b43a699e5837d4530d3a2",
       "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\">16:04:32 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">67.659</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;36m16:04:32 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m67.659\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\">16:04:33 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">67.659</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;36m16:04:33 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m67.659\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"
    }
   ],
   "source": [
    "job = web.Job(simulation=fdtd_sim, task_name=\"MMI_FDTD\", verbose=True)\n",
    "estimated_cost = web.estimate_cost(job.task_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b23150d5-31e6-4baf-a042-33a1d6c32d1e",
   "metadata": {},
   "source": [
    "Submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "11f5760c-9b32-48b9-bcbc-966248a60b1f",
   "metadata": {},
   "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\">16:04:34 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:04:34 CEST\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": "4de986b1abab48719d893a81193ba7ba",
       "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\">16:04:49 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:04:49 CEST\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\">16:04:57 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:04:57 CEST\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": "a47c322b55eb40d284cfe66559680c93",
       "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\">16:36:46 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">92</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:36:46 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m92\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": "44bdca20eb6741cda64ebfd6e0381c19",
       "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\">16:37:02 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:02 CEST\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\">16:37:04 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">3e-4777-9cfa-83e1f688774f'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:04 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=382606;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=543467;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=382606;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=932466;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=382606;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34m-a1800328-bc\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=382606;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a1800328-bc3e-4777-9cfa-83e1f688774f\u001b\\\u001b[4;34m3e-4777-9cfa-83e1f688774f'\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": "6f91be82bf31471086cfa0ba5334f524",
       "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\">16:37:13 CEST </span>loading simulation from data/simulation_data.hdf5                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m16:37:13 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/simulation_data.hdf5                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94e656fa-c7b2-4ab3-8f93-8fd0e469cff3",
   "metadata": {},
   "source": [
    "After the simulation is complete, we can visualize the field intensity distributions at 1.55 μm and 2 μm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "497595a9-60ae-4165-bb34-69ea0a5ac65c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3d/O6171u8fny8jJ//Md/zHOe8xwe+chHcuDAAV784hfv02r7cqAz2Dp06NChQ4cOlw4BsOfjsF2cwfbYxz6WcC/fuZBEw7W1Nd7ylrfc6+887GEP48///M8vqm2XGp3B1qFDhw4dOnS4dPg8WaIdLgydwdahQ4cOHTp0uIQIEC6uZmiHe6Iz2Dp06NChQ4cOlw73YUj0nzI6g61Dhw4dOnTocOnQhUTvE3QGW4cOHTp06NDh0iEE5LzCuZ3BdqHoDLYOHTp06NChw6WFPw+HrbPXLhidwdahQ4cOHTp0uHQIoeOw3QfoDLYOHTp06NChw6VDx2G7T9AZbB06dOjQoUOHS4cQzl/8vYuJXjA6g61Dhw4dOnTocGnhz2OYdfbaBaMz2Dp06NChQ4cOlw5dSPQ+QWewdejQoUOHDh0uHQLnD4l2BtsFozPYOnTo0KFDhw6XDl2W6H2CzmDr0KFDhw4dOlw63KvB9qVtylcyOoOtQ4cOHTp06HBpcb6kg85iu2B0BtuXCYIQCIu/HS4/CALwT/7+zK8DfHmvxVfKs3L29fpytPvz/eZXyrX8UuC+6N9njxXd9T0L9ybr0V2mC0ZnsF1iCAIiCBpk93KLKEKwiBhCsBBi2Y59D3lwILLnaArwhOB3BxmRfdvv+dt6938gBPt5BxIRFdu72KDa9vj9/7fHu0e7z3ENFgOZqEV7954TIdzjGCLmHAOfRyRr22B32zPH4jq6tn271+TsexFCs6d9DlCIzM9boVRGCA3B120b/IJvcakG4/33de957f7evmsZwp5zOutaoNpz9PuOs7fteyer2FfacxS9+EzrIQA+VPF6Bru47/PfDoT22qn4OW7fb+3rAxcwmcniXFR731R8Vny9uFcEt7/d7b6BsPvZeXCu3z9fu/YurhBZXPO9fWH+rIkkaFWgVIr3NT5YwMXnLjSIJIR9bfP3uE5nXYjd32uvx+J7i5OZf64W3xeVLsaVgFs8B/PnTyRB2ucnBAfB3aNfnH2/zvvs7v1/3k/n7WmfpxDc7nPW9q/5eYgki3YuzmfPPfpCjZ/F/dpzzMVnYkBMHOskQdrr6kO1eN7nffx8i+vde67j8dDA7r1dPCMQn8MvYOw452/uwd6x4Ozx/7JCoOOw3QfoDLb7GF/3dV+3771A+1ArRFJk38A7N3oCLAwMx70ZYPsmo8Wg2D6swe0bCoT5wLRnBRls+3vnhrTHjQOQav869g9Guh2MfDsp3PsQtG+IWRiYZ53TYuLa3V9Ucu7jSdr+59r35qxrGHYnoD3XZO/1EEkX59B+qd2uAY2IICTtZFcTvN03oVyqIWZxrc41QZ993/ZcSxHT9q3Y9vk9DqHeM1G4e7RdFsdhYXjFTfOJ3aBVjojgvSVg8b6Jx22/s1gUtG3wvmmvu9s/ge+5v+e7fvvPX+1pR+yT82MvzmePkbL/d+7522fj7Lac/f+5G7hnIXOWgSJiUCrDqB5KJfjgcK4CAj6U0WgRvc9gmz+3e9uz71wWaO/zHk/OvmfnHNcqhBD77p7f2DsWxQWjEIK7x3N8zvPfY8TvXsOzruueRebevrE71nnAn7Ug1Ivv7h3fzteWc/Whc73fd+y9Bm7br0UMShKUMgiKgMf5evd537Mo2X2G9hy/XayIyqLRhl7sEfCL+xwWCxx/zmv8eZ+FC8T8OB/60Icu8ptfAoQA9ny1RDuD7UJx9pK8Q4cOHTp06NDhvoX3535dJJxzvOhFL+Kaa66hKAq+6qu+ip/7uZ/b54gIIfDiF7+Yo0ePUhQFN9xwA5/85Cf3HWdjY4Obb76ZpaUlVlZWeOYzn8l4PP6iT/NSovOwXULsenQ0SiUUyQF8cGiVYFSPmT1D3xzAYSntFgpDwGNdiRKN9VMEgw8lSorW2+MIvlqEgZQqEFRcwXshhl/mXhKD0j20ShExOFfh/Bi4l9V021YlBVolaJXhsWR6iPUxJGZ0RtXsEPA0dkTAQnD3WDEuVr17Q1ai0KqP8xNEUpQkOD9rv2eRdoUuaLQaAGHfCjiEQJGuEoJHicEHi/MNRscwadXsgCismxJCjfdxVTv3dGo9QClDovu4UGNtidZZ9DagEKXJzDIhWAq9SuXHTOtTOCkJweJdGc/n84TcvpC+svdazT2c8T4KwVtQssfr6lGqRwgWrXpolYAolOjFdUl1n2l9Bh8aBBWvsxD7z/y+t/c7hIBSWbs9XusiWUMpQ6FXGbDOmDOMm5OE4KnsZus10BTpARo3IdF9jMoomy2sjx4l78tFaCre33De6yd7vCExHB3bZHQPgidLlqjsGOume/qDQ0kyPxuU0nhvcW5MkOh9EjSo/aHM6KGah1HbcOHCi7wntIrf440Frfu7nhNftffEolQPJQn9/Agr+goKP6CUCVYaSr9D5bap3ZRU96jtGEThXIUPdfTA+GrXG78nLL7XEwagJMeHBtX2k/mzrlWO8yV5soZWCSF4tEqp3YSyPr24PqIytMrpZQcp641FO5yfEqjb0ODZHrDY75TKEdEoSfALOoHeQz/Ye79jmDBNlgAWz5lzZdv+FBGFDw2ZWcaFhrrZjH3Xl4v+Ie31CLjFb8ncG362R75tK3vGP1EZZ0cv5n2qSFbRGHK1jGlpFmN/mmlzmsZO4zUJtj2f+bHtoh8plZHoJURplpJjaEmYug1yvYoNJdPmNEZlNH5G3Wy2fca2lIF4r0M7bp49Zu7zNO8JeUcP5l6v4e42uY/HpPsUIYC7bzxsr3jFK3jDG97Am970Jh784AfzgQ98gGc84xksLy/zoz/6owC88pWv5HWvex1vetObuOaaa3jRi17EjTfeyMc+9jHyPAfg5ptv5u677+Zd73oXTdPwjGc8g2c/+9m85S1v+aJO9VKiM9guEXbDenPXe0Y/OYwLNYVapheGnE40x8IDUCiOp7ejSdGSsG0/RyIFtZ8AUNsxebpGYyc4X+H2DHZ5Eo2Xxmm8VNGgoOVetANTZgYkUlCqHcqmwfvospc94cL5ICGiUFKQmB6ZWSJTA2yoWZErsKaiDGN6LLMld+FCifeuHdjcvol47yAaB9x5yAa0SuPkjSE1Q2o7DyGYxYCvdE6RruJ8HNCVaHxwKIQVdQUOSxEG1FIyY8SQNWoqduRuEEVpt6jtOA6Q2EXIKkuWMSqjp9fwBGb6DInqRwMgWIzKWQtXUKopa36dLbWJ1TMaMVg3BanacNM9DdRz3f/zhQDl7M/aCSjy0qTlxaQsBmWld8ONLYwucL6ml62jJSfgSKWHloQmVAxkHZ9YfMsfKpv2Ovtqd4IQg1b99ng5WhK0zrFuxsHkgWShIPc5V+YDNquD3J6kKDFsyR00voTgWUmuotTbGNWjYMi2pMzsGYJ3xNa2IfUQCDLnMt3zeiwMu0BcoIhbTKwhOPr6IInqM2lOojAo0TS+REuC0RkheEQUtZvgQ5z0Q/B7jNI5ZzRAqFkMf/NFgqQQ6kVYfM7V06q3MKxSM2yvYTw3EY33FYkZkqico3ItV6k1VgrNuF7HEzjjKjbNBjMzIpGcsT6NoCjtJpUd4UOD2xO6XrSlvcfet8+zaIzOsa7E6DyGpvFxMWjWmdTHWUnvR8GQKVv0WGOsz9DY6aI3GlNQmHXW1P3YSA0BhzcNs1ph7Tai4vWZG4jzdoRQk+g+WmUYneF8gw+WRBc0Li64rCt3Q+UiKEkpzDoBh1MVqR7S+Am1m5DqPkoSajtmOb2C2k/YclO0Smn29c+WNxdCbJuP1IdovNmFkbt7D01cQAJK52iV471bGPIimtQMyM0KB7maPOSsSIGR2OZT7gAn0juY6NOUjca62R4aC7tjpygSvcQwu4KA56rwQAYq5XP6BIfDAaah4e700wxYZxROsenq2F+ZELxbPOvhfEZWS2sQFMh8QRGfm12+WkuHIXKaw2JhfBniXjls0DQNOzs7+zZnWUaWZffY/b3vfS/f+Z3fyb/8l/8SgKuvvprf+Z3f4a/+6q/i4ULgNa95Df/23/5bvvM7vxOA3/7t3+bw4cO87W1v4ylPeQp/93d/xzvf+U7e//7386hHPQqA17/+9Tz+8Y/nVa96FceOHbuPTvy+xWVlsN1yyy289a1v5eMf/zhFUfDoRz+aV7ziFVx77bXn/c6tt97KM57xjH3bsiyjLMvF+xACL3nJS/iN3/gNtra2eMxjHsMb3vAGHvCAB1yycwHaVVEkYiuVkMsAS8Uhd5RMNMLVHEmGLKUaO72KLKT0VMpnTCAJGV47mlAyU9sM9AGmnKH2E5RKsW6GD5bcrOBCjYiicfMJPQ53SlISlZOoPpkMcFgaN2lX5TXhLE7FnMOldYZRGX21To8VGik5GNYIAbYZ0QsFtZpShhGpqSibGqG6xwAUBxfZczl0a0CBYAAh0QXWz+LgpFJsO7kbPaBn1qn9jIE+QC8MqaWiFwYshx4eWEtTxo1j7Fc4nPbYbmqUMjhqTJKyEyzOl3EME0GrglQPSVWfAQfIQsamTsgZUIQ+MzUjDSlH9Ao7tmDVZDi7zBldRD5Sey/vC5x3TdmupuOkuSdhQjSCQqnYnyP3JkHEUOh1DAmWhgGrJCGjlAkrfp2Z2ca2k2jjS5yrIjcwWObehkT3UKLROqenVsgYUKkxV3CE5cwwtZ6rB8JqlrGzfZS+5JgkYeRPYGk46K+glHUcjiU/JOjIIfMhGhTeOyDgxCJzm2RvH9k9SaJ3K6BVgvNEY0xyEEgpKGSIMzUag1E9SreJkpRURY9pCBYnDZHLB8E3RAeJAaGdwG00gyUhYAkhGkiCbreni77s3BhjckLIsG5MZpbQGCo3IuCjBzr06CUHKNQyV6pVvmpJs5oExlZhFNw17XFiltL4g5TeYlQGeDBgQwUOHKr1IhHvi6QEmtagVgvDTEuCV45U93FS44OjMCssqaNYM2UtHGFNBpwg4UBYYYucSXICowusm2F0wZq6kgNhDZRnSvTse2PxoVoYOPM7k5heHFOkR26WMKoglQKnGhwWs/CSV+3YM+ffBrROWk+gJjMDclnCypBStsnUUjRe5TRLHGSkNFqlJLpPY7chLHymbX+ZG7FNNNBE2p6j9ow7c25eNGC0yjGqwElDonK8chidkatlhnKQw7LCSmoYJEKm4tGKcoArr0SbDBFD2Wy1RnuG8xUxkadGSU6ernGQ+zOTMUeygsO5wm4f5Mp+xsRmVNUVrMsSCIz1SRLTx1cxQhLEtc/03FN5vjHhwg2wcy2ELht8Hg7bO97xDn7wB39w3+aXvOQlvPSlL73H7o9+9KP59V//df7v//2/PPCBD+Rv/uZv+Iu/+Ate/epXA3D77bdz/PhxbrjhhsV3lpeXue6667jtttt4ylOewm233cbKysrCWAO44YYbUErxvve9j+/6ru/64s/5EuCyMtj+7M/+jOc85zl8/dd/PdZaXvjCF/Jt3/ZtfOxjH6Pf75/3e0tLS3ziE59YvN9rJMCFuUc7dOjQoUOHDpcI91L8/QlPeAJvetOb9m0+l3cN4Gd+5mfY2dnhn//zf47WGuccL3/5y7n55psBOH78OACHDx/e973Dhw8vPjt+/DiHDh3a97kxhrW1tcU+lyMuK4Ptne985773t956K4cOHeKDH/wg3/zN33ze74kIR44cOednF+IevRSI61NFDAcJWhJc66oftnyrQ2GFYaK4sgenyyG5ViylmvH4CAqhkIRtpszUMj3Xi846USzJYUZyKvKs1Aq1H0evRvB45fBhFvkjZoDWeeRmIWhJo0eg9TDElag7a1Wm23CGIaVHFjIyMgptMCLYpocRHTkfYURi+lR2c+GdC+2KcX9m1V6vm8P66P2UxepZIQKJ7sV9QqBIVilYRquUgV9hjSFVcKwnGVoJInC0UGzVin6juaKvkGmKrVYZyYRMCmZ6M678JSXgSEyfRDJSKch8xroagIc0JCybnInNMSL0jaZ2Zk9O7H45lrNXvefj7l1sllfkeTmEKPXi/e7iYzczNl4rYwoAjMrIZbC4bnnoYYIhiMeg6bFKLVMsTfTOSNNyCGOoJ3o1Cowq0BjWwjHykGFZ41Av4WhP+PQOLCeeTCsOTAasZ4asvILjqmAqI1Yo8CFn008Y6JTSL2NVRRUmeG1ppMT7JmZOehbhq33ZynsXWSLR+zvPuGvlJxpKlv0xxip6uQqWCcqiJSGVPjUT6mAXPL/d4/v2eAqtstjvfLyGztUEDFrnEDz4gDHxmfG+wQdDogq0ypgFT6YGpNJf9IVUD0mlIGeJJb/Cwb7hWO7oGc9yImTaoyTFtDISx6cabVeZSkkpfSbzrM5Fb9mV35g3X6kE68qWq+oW4UYUSLAM9CGW3SpTc5BBKDiQG7anBUtpgmt6LCVXMGSNiY4hpwP+AIUyrLt1rG5YcetUZoINFanuE4KntuMYFTCruFCSSEGq+mjJSEKGEkUlMRTqxOKodtu/J2Pbtd7doRwkCwUqDFHa0PfLmGBAQe4KJtpED6JKdseRs6Vt2A2b7/e87Y47ShI8ZcvVy1oPHyR60PaTHgXLrPtVhrnhcCEkClIFRiKzcacZkLqERGVsJYbGjUn0gMpuLzxtie6zpI+wHpbY9oaBURzOAyfLlNUMciNsVkOWU8N2OSA1AzK1RKW3cd6c13G2eCL2Phtzrztz77tnTpVY9HXmdIpzH/fLjhAI98JhS5KEpaWlCzrU7/3e7/HmN7+Zt7zlLTz4wQ/mwx/+MM9//vM5duwYT3va0+7DRl9+uKwMtrOxvb0NwNra2r3uNx6Puf/974/3nq/7uq/jF37hF3jwgx8MXJh79Fyoqoqqqhbvz46v3xsWE3brqo9hjYTaxwwUraDxgUGi0UpYTx3DxLCcCP0EDiY9Gh9Yzw2mVFjfw0nA+zVQcMgfQonCqgYTErxYfBtiUaJpXILRMfwH4EKDlUg8T3QRXfseguyGRaUl+kcCNyAKhSIQogEQIm9bEJpgcURulCFBMLsk5XNIKISW9B8JtwHvZ5EnJIbGzVpOiCHRA0QUzjcM9CEKH9+bYBikhl4wHCg0lQMtsNw2NVOKtSyw3Sgql1DbjDQYTqs+JLQTnSXVQ4zk6GCQIORKseQLjNIMjV5we50PVMExsTUjNcL7gJuTrEXjfcNcOuNcxhpnbTtf/9i3zz6dtblEiwdM/EzplsvS8gAlxfpqYdA1ocRR43AgEKfQmpQMLw4fbAwzhgQtPRqnYxhUZRjJyGSAEsOK72O0IlWKpVRYNmExb6YSWMsMRwroJwlqvM7IDunnCo0wLg1KhCQkDGSVIIGgo+5fEyyEaJz4ENrzcPuvV/CL34ryCg6PXXA5UR7PETSGlII85MwkR7X6hh6HDRUuzO9P5OjRyltEXb9ITwh4ElUs+meicmyo0KQkqkCJoWGG8zmp6pOrZULiSKVPLwxxqsGoHgPWORzW8MBqmrKcQs94FDAwlkx7DmeK2hlSDaNa4wJUrsG0xmMkxxsIssfY9K3R3iA6Sm/4OalfBD/nqYpi4JfJJGHAOkYUmRZMGxLOleGoux9LJmPmlhkxZckk+BDo6QQTMlZ1j+2wDgnkagkXKkZt0kJPrWCp6LGKIUUFQcJcSkVhpWrlMBr8nDPYJi0437TUDYdODSpoipAT/DKD0G/7RQ8nkfqh23Cmkpwguxpmu9aN32Os7T4L7E2QmAdSJfKBo6ZkQEvCQNbphyWSkLCapORaKDTYEJ0/oqAwsJRoeqYgqQ+hlGJbTpBJH0wM0dd+xFAf4aA7Qj/V2CZHCSgJ5Foh8amlZ6KOpEaTSg9DgpEMKzlO2j69J6lgnkSxD/NxYY8RfM+/8//PLV9zWSBwLyHRizvU//v//r/8zM/8zGLufuhDH8odd9zBLbfcwtOe9rSF8+bEiRMcPXp08b0TJ07w8Ic/HIAjR45w8uTJfce11rKxsXFe58/lgMvWYPPe8/znP5/HPOYxPOQhDznvftdeey2/+Zu/ycMe9jC2t7d51atexaMf/Wg++tGPcuWVV16Qe/RcuOWWW/jZn/3ZL/Is4sCiJK72Kj8CUUycxYdAP2hc6ybOtDBIolG0lmkmNrCaQuUMWmC7dgTfQznFSpoQ6nVmVJQqkq5TemgxoJap9YRCLUeieRhRu1FsTZvhNec++YWYYyRjK5UtPHIKEzPcmJLTY+oaai+UUjGTGbUf40PdnluK83r/qc+NmT1E6oBrM6PaVbiCxk3xocFoQyIZSmtQnqFfJQsZgYBCkSlFqoW+iYNr0o7VmY7vNWAEjIqTVU8nDDiAlSEpvcg3as+JAEECdQgoUaRqD6k4BDaamk21xYxt6jDFh7r1EGmCN8Ccq3NPEu3FeNbukXhA61Gb8wBDWBhvcTKf6+LtTuiBQBnGWB+9aGO9hSD4YPHKYkijcY2LXlPdI1V9El2A7HpeBSELfXrG4ENgLdPkOp5hCLDTKFRrJK8knuUEamcoakWh1aL9vr3fhe9RqRlBOWo/aY0lSxSPbnY9SgsDfy68Gj0o3leAx7m61X0LON0wSrdw1Ah9/JxsHRwNltrP4gIgWIQEpaIAtHOjluOkW4J2NNqUSknaa6l1TnCBoDxGxcSNgI8Z0mqJHisEHcjDgNRn9NUqJhgOyjJXLyVMbLw2/da+HjtFrx1de9oyMJpEBTKjEAtOHCro9pnUOClAWHjHY5JDwLccNx+a9m+JSOSwAmiVoILC4uiFHl48lYv3oHIeLXA079E3gsdw9zTer5F1aIHUpwxSzVp5gL4skbmUmZTUZobG0GMlevt96/0mYMXGhQH7jeS4OG2TZlQGBHxwNG5KJTOSECMLSUgwoqjbzNuJjGIfIRqsqRlSEQ2/qGEWf3eXI3c29guMCxKfVeLzHdpEnX5Yoh8KElH0E4UWcAF2mjju9nzkgBVGyI2QqAxVHsCLx5AiWlOEIVO9xRX+/qwmKUYJmdJULrBRK6wP7NSCjcMb48bhiIt2j0XrHO3SRWb8LmJygZy92OX848k9svGDPc+elwHu1WC7OIttOp2i1P5+oLWOigDANddcw5EjR/iTP/mThYG2s7PD+973Pn74h38YgOuvv56trS0++MEP8shHPhKAP/3TP8V7z3XXXXdR7flS4rI12J7znOfwkY98hL/4i7+41/2uv/56rr/++sX7Rz/60XzN13wN//7f/3t+7ud+7gv+/Re84AX8+I//+OL9zs4OV1111Rd8vA4dOnTo0OGfIgKBcB6D7WKdgk984hN5+ctfzv3udz8e/OAH89d//de8+tWv5gd+4AeAuOh9/vOfz8///M/zgAc8YMFbP3bsGE960pMA+Jqv+Roe97jH8axnPYs3vvGNNE3Dc5/7XJ7ylKdcthmicJkabM997nN5xzvewXve8x6uvPLKi/pukiQ84hGP4FOf+hTABblHz4XzpRRfKKJERswSzcwQLSmV20Ypw5aMEBFSq/FBc6bWMcAgUDtYzUCJkGnoGyE3UFpBi6EIAwqtUGnGdiNMmWJC2vKsCoowiFlkPmOqpm1YpwGmrecgxUiGKBU1kVrHhlIFqRmSmSV8aEgkowklNROcWEqZ4vF4ccz8FnWYxlAIFqMLGjcPGasFL05a78lutlerL7ZQAHcxixMH9GL4k5xE5fRcgUbRoHHicAQKI1i/y10d27hw88COlcV2LYpMCQeaQzg8A5WRKMXMWTbZpmKGw7FjK4xoEqLHYeoaaiyb+jRjd5KZ3YqeOWmz3fao/9NqgH2hAYjze+Faz909FOIte0NBjZsSgsepmpk7g/MNIXhG4e6F56yUET21ShNKrC/b+94nkz5zzTPf6kwFAnnIUURRmH47MmzWgsdzugKj4vZUBXrGcyhXGKWwHiZNwOGZuej1SzAk5FhpUBIlOKKgh1lINUTPQIiehTbDbVHmacFzc/jg8a0G4Kb5HARPYvZ4fEJJHabRW9uGClMzQLWq/tO6ab0zDu8bjC5QIYarjOox1/gyrQ5dIhlGcpw0ZMbQZ5We75FKShISFELiB/RUyhX9hGv6nrFV5Nq3/VKzUSt6Lnqz1pIoP1H6ltXqAxYb/di6IJUeShm8tzQuVkiwLX3C+4YgsTqJa6sWiASqZgcRRZ4s06iGhoY85ExDw0ZlcHhGtmHJJBzKBaMgUzCzCSLRE+oCpCHFCKyZHJECI8LIptQcxWHp+R4DyQgSsCHgCdTUlG1Iz4Zy4e0DweglQnt/InUg0kJmboNEZfGaB0MTHDMpKWVKGXZo3DiGL0WRyRARhXWzVs+vAmwry6La56H1wO0tUQYLL/6cBmGkwBPbGj17QqojFQVgu4GTs/j9pVRT6NjPV5KWL0dGNVvH4ekRr8VOyLmqX5Ar2Khi3500ns96obKe7ZbG63xgI4xpVJulHSqMZIsIx1zzD5lneO5KeIDa1VU7T6UOOWv7F8Sb/VIhcC/F3y8Or3/963nRi17Ej/zIj3Dy5EmOHTvGD/3QD/HiF794sc9P/dRPMZlMePazn83W1hbf+I3fyDvf+c59SYZvfvObee5zn8u3fuu3opTiu7/7u3nd6153n7TxUuGyMthCCDzvec/jD/7gD3j3u9/NNddcc9HHcM7xt3/7tzz+8Y8HLsw9eknQTohGD+gnh1EIVscHdltOYCQn+EBjh9w51TQ+MHVCaeHKFBodPci5gUJDphUZkOj4SC5poW7JqykZKmhMMCyrHolSBIlh5XHrio9GmUWhSXSczBozI/gUJwmJ6bOUHiOVPpUfkUiBpcL6kkZiyMOHGiNZG+LaDc8ZlS1I8YK958Cxhzi/W8NP2km4bjlGFhcsiWT0wxIahRFBBYUXz9R61jLFVh2wPhq0M7drwkws1C7gfDQQtRKuyHvYEOgnMTx1cqqY1QVWNVixnFYnKfwA3JAJM2ZqQsmYneYuajvG+TjQqmSZ1AwiT0cSULQ8vLOI8y3O3nJvw5Sc9Xfed+ZGTSTc7xK5w4IfFMOM3mtKv7X4am3jxKd1m6RgopFsQ0WuVykYkpCT+nRhgNdUVEzIQkod4jX0QOlgowxYHzg5s6RKUQwUM6foGU9fB0otbDmYWIcTxw4VGo0OijSklC1BXkuNU3EijVIaAVFJ2wfmF2qu/xUnrrmQL21Y2IeaSXkcrdIoWdOKnVZ+ROVGeN+Q6D6iFEWyRk+tUocJzjfUrcBzaA1gJTFklrbHcG14X8SQSOSwpaogkR5DN8CgKUjbsGXkfy0lmit7gaNFTeMEh7BZG3asigZuIxQ6jgMzL4yaGIKr2olYYRbSOakZUPsxpTLUbtJKVvk29B3v+W4Jt5hYRAAfBuzIaQA0hymlpPQlWjQTmdDnQAzTAj0TWM2E7SrgQqD2jgSDD0S+rIrcUFUZfBW1xHqSsJIljBuHdRYjKi7a2EaTUodorKW6h5OEIlmD4ElVn9pPsDQ0bkLlRkxVTqMq+mGJmoqJ7FD6HRo/wYWGVPUjn1ItYVTOTG3iqihtEseJdiGIsFvz1u9SLIQFVzHgW93GtkQXnkCgDp6COFZoga3ac6Ke4nBUbsBKqhmmQq4DPkTpkNLmzJwnVULPaAqrOdTO+8dnHh8Cm03DxM4wwTBVUxRC6jM21HESyRelriL9QO1yLOdJFKFdqOwVIt47Luzj7s3HDL1HHJpzjkWXDe5D4dzhcMhrXvMaXvOa15x3HxHhZS97GS972cvOu8/a2tplLZJ7LlxWBttznvMc3vKWt/Bf/+t/ZTgcLjhmy8vLFEUkCH//938/V1xxBbfccgsAL3vZy/iGb/gGvvqrv5qtrS1+6Zd+iTvuuGOh6XIh7tFLAaXiE12kB1jhEDUVShmMZOy4EyTSUMuEhoO4yQrrScaZoCIHSBSJjkaIlsjNSrVEon0KZypIdcvX8pokpOQhIxXFUmIYJoqZDWyWBt0SrYGYBUccTA0J3swzuWIW2CF/fxSKseoBnu0QM8cau4X1M7y3ZMky82oHRiJp2tFEbpxoaj9jlwTsF8YagFYFAYtRPURp6sYy123z3mFDiRaDCQkOT8KcTO4Z2ZqZNZwuLar1XI5aIUYNNCGQyC53xIhwpCdYLxQG+iYwtYqkNiQhY6bGbLu7qNUyDRWjcIraRy9N2Zxptc5idmkInsysMQsbaJ0iXlqDbbeA/BeCuRcy7DVUYGEI782qnA/M8+yPyKmLg7TzZcwaJOD8BFD4kDAX3oxeUxszK8MAhSJv+UQEGCtopEIRvZAaYWKhsoETVYVB2AkzMlKW6l47kZlFHufMBka2wYljJGcYhnVqidfFB0uq+ngsKlSLah7euzYRp2nnq3YwF91eixSjBy3xXhAVPWfOjfEhY1qfRKuMxPQp7U5b/UCTpNHzVqgVjvkrOS2nIVWMuKv1Sob2GisIHlEGQ4ILNVpSUjWIGog4CpZZcev0VNomJuzWWl1ONYNEOJhZhklNVjg2y4yN2rBZw0blqH2gZxSgqTyM6kDlAzY4cnJccGRymCUKpr7PljoDCqxrxZl9tes9kvnkbtitRxq9SGN3AiUJic4pw5iAZSgHmTGidqsoMdQerI8c0I0q4IOnxtKThMp7jqSaRMUe2HhFpjJ26tgPe0a1XKxoONZUlH6EkQwXaowu6Kt1ANb9URIM4oWxGrPFcUJiY8UFt00lY9DQhCmVG0chcD/P8Ewp9BoaQxb6WCkRUSgS/EKnbu5Va6sc7Kl2MOczRm+lQ6m2ZkUU5MOJw2Lph2iAKhFONVNOqs9Fnqe/At0skWmDDdErOTCwkmmMFVaS6A0rjGFgAqUTZs5iQ+CM2mTL/wOp6jP1WxiSmBXqd3CqjgoBonDtokFJhgsBZF472u0aZecU051nxe72wbP5n2d73C43BHt+WY8OF4bLymB7wxveAMBjH/vYfdt/67d+i6c//ekAfPazn91HONzc3ORZz3oWx48fZ3V1lUc+8pG8973v5UEPetBinwtxj96nEI3RBSEEhvowAzegkpTlsArAWE7jsFhfYaVmqjZI7VdTN55cGSqX4kMc4PtGwERyPcSQ1MlZwHvBKCH3BRkJfRNTJgujGCZgg6AXGYXJIpTgCRQM25IsA0DFyRTDET2k9p7EGcZtyCPgW29TG6IJfVRrBGYyiKE3RqQm/r83NBpLaLXeNaRV0J/GcJVKsbbEM1ssI31osCFmOpZSkaGxbbbYWCZsVSkn2CB1GTb0GPmSSiqykGHFUoScnkoQhEQLy0lcJWsVSCSg4toWg6EOE0q7hVMVU7VF2Wy1Mg5VS3hXJMlKK5YJmfSZsRGzvNruF6sR7C/zdd4u0f69kLEpGoLzLMB2kkYvSiEplbVt3JX9UErH8HIIBCzOxe/XdhTlPNpi7FHyI4Yvc0lQQBkSMuKCaBZq+pKyUVpGtuGM2qTne2yo4+QMOF2mjK1iYhXLKYwa2KotOzLGiWPqt8jVAIdDB43HUjCMIq+qXmR0OolZko3bIYQ2ECtxchWJorjZ3KupLM63JafEEkJN4xzWR++xdWNieah+9M6QkIWCtSSlrJdIJScklomcjpm1Lbk9iEch5AyoZIKWhH5YQoKiZMIgLHMw6eFDDAcmKobdM61YyaLYaqHi5JqnDdWkoPTCTh0YNQ2bjClsjnUFWgmz1sOQiGagUirvyJSmbzSpNUxCTiLF4r76xcQci6grlSBE6Qvrp9EjiKKyYxIVRWitn+F8TZIUVGHMLDSMm4wmwNRFA8T66MNxOJRkWB9I25CpksAwEVZSIdOGqQ0ooh1gcbjgaVSFcyVKx37ZU8sc8leSS8J6ntIzitoFtuoUG2LZuA13O7WbLDzEjRtjQ9U+kQqjssX1r5iREr2dc1rJPLQaFzfcM6tyvjBcGDBxsRLNO9PSGWAiOxQux+NRKE6pOxm7E3hvMUlCbjPSWrGdKHIdk5v6BoxSrKUwtaAN+CBMLUxDQyUVW+FOxnUUKK7tGK3TGFFRBaXbxkgWaTEhjqtGx1Jiu5Uk5sK/sqjmsEDrPbwH7mGc7Q2pXmYIncF2X+CyMtguxKX77ne/e9/7X/mVX+FXfuVX7vU7F+Ie7dChQ4cOHTpcAtwrh62z2C4Ul5XB9o8FSiVRiFQlLPt1EtHokLOapEycoyerURvNz5jZDSrRbJojTPWIoV9hp0lxIaaEBzRLaXTP+zBfO8LExhDgQDKMUqymmknjMWd5xQOOTA9b6dDodckoMCFhVQaoRZBBWMs0WzUIKbNW3NZ7GyUGfNNKc3iMjl6AlAJNSsOMVA9RCKVsR68ZmsCujp2obOENMiqWQkpMj9o6TBs+jlwUz0yPo06az7DKooOmkhmnbMam3EWqB9RhiVJPmfgN0laGwYYhaVhGiWpZLoJRAeuFKgiND1Q0LZdlhrUlTlq9r1C2sgRp+9JkZmkRspkT55XEeoZz0n4shbPnPDn38HNeQvBenaV9O/g94TuDYPDKoST2K9eW9tJtkfQo6FlGPa+WL4MI3k1pVI4oTenHWLFYsVRSkYeVts1Czw+idptUFKSctlPO6BMxYUFXjN1prKo47nooqyjKjCN55PacDFtM1DYmpDRuTKWjJIQhix7dMMCqBoWiCRWJUWg/J9C3YeW5CB4gGLJkiUT10RI9DdZPsb5CeUNjtwne4lux1Cj9EBbl3/LQwxOiDIyk5KR4OYYkiklzalGmqb3KpCFHi0FLRuF6USpFJgwoWMs0G1W82ireDIaJYiWJz6NFmFlDUqWcrFJ2GmGntoxCyZY6zkhlTO0KywyZB72HJmGYKCaNIjdRrqbxAW01ovTiOZ1TCrQuol/YFFEjTqXUNqGXHKDxE7yzKGUWdToBSr+NpWGkxmzWfSofqF3gqr6OHrYQKQeJUrgQuXVzZbNCQ08HjAinESrXJhtIHSU92v6uEFLVZzkc5HDaYy3TDBNYTgI7TUwwGc1WKKTPWJ+kciOsnTHjDNZG/cXMLKNVEsPbErm4VjXokO7RPtxTlmrxnOlY3imEXc5nW290rgmpVRa9yjpDY9BB00jJWCY00uCxjNxxqmaHgKfU22yoHro+SKJyVnNhaKKXrTCRAzixghLYquFEGRipESU7TOvTbR+N9VQj71Ax0IfY8lsonZJJTum3UWIwKqO2o5bTOfel+tbbzD7P4a7eYxsOniciLcaN3SjGZWv6dB62+wSdwXYfI2Z7FhidsWSuYLnVL1IiLGUaVwbW7CGs2FiP0+5g/Yyt5Dgzt41VFafLZQBGzmIDHC6icK33MawBMLGe5VSzlMSsr2EqzGzkcO1YFoOsoOnp9ZhJ1xLV55y3o/25Oz5y5foGJlZhfdQOmhN3o97Xrj1hJMOGioQcEyJJW7eCu6kZUNuwIHfPBxSji1j0GLUgi6e6jw+OQXoY62cxu1EMZdhBoZnKgIYSLyleHKfVXczsJnWYUsoOwVumdoNaF1HYVAX6vk9BgvWB7VrItTCyUNrIK5qqmEnYuAmBJhqkflcXLEmGi3tZqGVqJsz8FoHQGkdukWThfYVSGS5YCPtFYM9nuJ3dV/YZcq3IcgjzMGvNvLIBxEkrT2Lf0CpDq6TtW1GYubETRBK8mrVhlWjMNG4Hw4CZPcMoW8eFCkGzFIYEAk4cyzJgxJRGGqz3nNEn2KrvQKsUq0oquw0GTqs7cdSR71bGpKBNdRyCj6HW0FD7MUZyFLrlI2UEv0IpCWPOoEmwSqjtmEVixQIaEU2qhiQSRX8VmroV+Q3BtYuIkuBKnJu1oTMT646G+CqlpPGBVEVdufWwjELjTCR+Ox/DcQqhCHnMng5J5HQFh8bQ14aBgY0qPr9KIht0OY2VH0ov7fOSsFkn3DFVTBrYsQ2lKpm2ySAzNkD+GYPQjzzTVLOcgFYaIy0DqSWdu1BFknzbB0QlC85nZpYZ6qgn2aghR/w1nNSfbZ+/lKk9g3M1Wqc0bTJAKWNOlmvMfMNUZhTlOpWPBPxEYvWSJgQmNmape4mLw1QFlpIoRr1Remzw1FJTsoPHoXXeCgcfYI0hhwvN4TyQCAwThxHNVi0s6ZzGJ5zSqzhf0zChsRN8K/o8N9a0pCgMtdQ0YUqsRVsvngclyT7VQ1EZhBpojbT2edSqj2qfi8TEihRaclI1IHOxisJEtvHBUvptymarTS7yVG7Ejii8drjyEJ4eIRNSBUs6YEPkdtoAZyrPneWEqdpg6jao7ajNRG7NXgEfHDlLu2OL5GjJEaXiYkTFJCznqt2xcp7lureY/V6e7Ln4bXuMtpa1t5ttDXx+wsaXCOep/X65NO8rAZ3Bdh9g/oAAKJ2TmB6J6nPMXckwTZi05PhUgRZhRRcoESZ+nZnawDrPxJ2mdhO8bjjt748nMJOSyiWUbkjlWkXumLhI7T1aNEtpXCEPDJxWMG08pfdo4oOaUtD3S5QyXWhOaq/pqYRDefQS+BDbNrHxO6VzVBK5MC409xgkhEjYjrKkmpwlrFSooCnNGBcanCv3fCMS3+MEHQch12ac5maJg1zNxGxThxmJ5Mz8FoJiqkatAnorsOnPULspylfMwmbMdLUTnK9QaQIeJmqC8kMm1tPMhFwrtirLxFm2GTOW03hc5NO0SvIEByqm2w+Sg3gC1k8X0g4QKwmk0mPmN2PShsppQo0wX923UhznJAzPL5wshDH3yp7s59+wR/bERk9CMCCuJZYPFllkc1KzaTPLtEpBFMFFwnXw0dD2vsKJwfmSkb4bHyxKpYzVGrYVAU7RlMR7VlEzdicpm22MyXG+xtoZCoNXNbUdE/A0aUWhlqn8TjvhRs9GFSIfTKHiJIViEPpoNDPZZt4RZ2FzNyGm9ZIoSdA6JVdxorOhJGMQifZzb1tSUTXSyl3YBRE/GrCKWuIEPG4cqYrltYcmwdhlaqK0T6V2iCxPQ9IaezqkpMpgXSzxlSqFbhM7tAhKxWSWQkOuogdlu9EogTOV8JlRQwgwkgmljFtZimiYDNPDLIUBmTb0DAyTOH9ZR5uROxeiDYuC6bFCygCjC4wu6KkVDrmji4SO++dDKO9HJRVOHJWeIG6MkVh+TimDDSWnwzY76jSOmrvK3mIyzyS2HWCriksHJbCaxrFmLiw7tpYmOJzU2NZr3lMr5CyxFlZYThPWM1hL3aILpyqgROgnitoJA7dOqbdRNsG6nTbJxLSVNna5xDO2sb7EUoJEbpt1fuHRnkOrvE1+if8rlWCtokhXF16rXC23ySQmVjgQhQkJM0aAZ2a3Wk9rvPaNL3FNQ6MnNLrEVNfgQ8pqqlhOhK0atqq4713NiBNyO5UbMWs28H62eH6VTlAqCiInIT6zACZkFGqZmd8mkYykLQPmpY1etNI9Mct1PmTMC8T7e3Bl9/Ji90h/79kh+nTn8iDz+/5lMeBCOK+H7TLOk7js0BlsHTp06NChQ4dLhhBakYJzfvglbcpXNDqD7YuEUtlChiEES54cJDF9BuoAh5KcwrQckBD1wxDoG01hFJuTdcbmDLUaYV2FczWlbziZn8CJRYcoyzGxQ0rnsW2YK9mTJVuYXW6bRthqaraZstYWBF/2axSSkvk0prsThVILrVqeCtRBMBLYqATrAjthRik7sXC6b/asyNQiXBMZcQ5DoOd7jJWlH4ZUahmrp5S+WVwXRJPp5UX6vsbE8kJiyFWPw7JC6YdsMyLxCbWM8XjKEFfiDoshiXUJfYMLVVvCJyWEGu80jZsiWjOWTUQUvvE0jUWj2VJnaKSkCTNqP42eDzuLmVnBISpBqwJjCnp6nUBgTAzFeXwU8QwluQyZsRmzGHXRFrEPsR3nKHoPZ4VG72UpOdeOWuxKiKtSCW3oR0MbdhY0iWT0WMZKicZQhylGF9F7JgkBvSc06vGtx3NSnQLAmJyt9DjWlzFk7h1WVZgQBZereodAg7UQlMOHhsZNsV5o7DYAI+/wuV14At28wLyvWyeaIg0FgpArg/fpohh3aL2083OPBc1zEtOPAs6haAtDxfNTYtDkqKBpTBVFZGmwdoywWzDdUVMSRYK33YwVKXAh1ng0SjhcrVEFx1gtEYIlIScRhQ6m9YYIOOiHmNlZ+/b+CSQiZFoWXqlMee4uDZWHz40tnw13Y0gp1Zg6zPDBtp5moUljDdBUxUCVUZAITONtpgoOQ9R+y8wSQhRH7mUHURh6aoUBqxxMCsY2YWAMR3qCZ0jl+kxsw1it4HRJpocxA7O91iM5w05zJwB3JSmr4XAs0aRijiYENuoGoxKsh1QJPihSFZjZQBksFteWdYth5JVwhCxkrKSRj9fXUQsMga1GR6kdD5kSvIeBH7CBweicxm7tPncYtKRRs00aaj9pw6ENieqjdOSO1m7ano9vs8B7WB+99YnKMbrAqYKhPrJ4fgqGWNUgQRj6IVopEnJmbDMvcB9CpB0A7dhSxpBtYjme5jTVQRpfYLTm5NRzoplSSskpPs24OgGAdePW+xUpDXM9P0ERxNOTlZg9HXKM6PjMSkaqhzRuvGcUiOHMmAU+Hwv0vjHlHvqWeziwQVwMo4uBYBHJImXDjWN4tOW1fllcWoHzV87qDLYLRmewXSS+9msfjta77vk0WV+Q6QHWsn9GCI7D7giHhnFw36kFH4TSBYySSPI2sGoKJv4KJnqTHR8HVOdrtv1xfKjJ1BAtCRvVEWrnIt8IWEkS0pYsrImhi9pHZ/g2U7bVGQa+wKBZMRke6GMwVuPayS03ChuETMXwqfXCdhOYOMemPhX5dK26fJQE8QvtqibMWkOqxpGQk2FIGVAwJhadt77Ch2ZfiCsYS+VG7eRrCMHTY5nV1GCDIakViVaM/Co1M6rQDmateKyfa7a1tT2llYIAh3UzlGgmOKxq2BaJop7BUzY7i/MIwUdDNJQxLCOCUgVa5+RmhTTE8MyMKDZrQ9lyi2pE6YUshVEZRuVYP+XscA2cfww6O/lgXgVicYyWRL0YXPFxfA2BIJ7GjWO911b+QWNaza6oaxacb6sy6MhZ161wqK9ANM5PERGsDexwVyzMLSmjUFKGMQVCzQzbGng+1OCjke5DFQde38RjuRGNHZCYfpxkiTU5va/bcKOKMiK0IUUUuq2gIaJazqImTVajMaNjkfVUDUh9jpVYA3VeM9SEDIWKEiuS4lWOZbzQcPPeUukxpR9TqGV21BaJM+hW0iHXikN5xnbjWPGHmKoRhR+glaBD5NqZVlqkpw2KSBOY3zijoo5Z46H0ql3kwKh2fNafZsN/FkOClihKHFmksa6pb8WCtQiN36UiVG2YSIuiR07qjpKqHj61TNlmhUNMZcSyX2eJgpVMo0Q43FOsplFqZGI1p0phozoMSRTktTTt9K9pwozKjlCi2eZzFMmQPMRxwYdAILAVJuT1kJlzGJUySIREhO3aUkmU2hGEXAZ4HIdkOfJyU01hwKjAyMb6nMfLSNYvXZQL8QQMGoWQ6IIZu4b6gm4famoPjRtjdMFcNggBp/qEcAKnl9r+a0h0gWrlk1LpkaoBaFjxB+Kx23BpQvyNoUnxIWB8NAAbLIGmHRdi6NGHJiYMeEsJbKo7qPWEmT1CtbPMqbDNljrO1G8xKU/g/HTBl4uGkEIkbStsSLuobchZopIoTJ2EhJHKMSEhVX2sn7Zf18xlPaTlce7lMu4OGLt6jRG7Iru0yQmPeMRD4657hadRrXEaQ/zOOf7mbz54nlHq0uDe2CIdLgydwfZF4n5FLBRr0FTMuDIcY+Yb7j8oWM3ioNw38UGcNp5UC7WLOmpLieZQucpOyLGmjIRt21DaTZyvCIlHScKpMFp4uTyewq0wSGJ1hCYIps1aarxnLNvt6j6Qi2E1M0wazyBVpLXChsCObUi1sF2DyhS1iyVatuqGkS8Zc5LajqNSuNIEMrxXi8GpcbOo/8QYLYYQCrKQUWhD5guCOgDGk+iCRPXJZcjAr6B1NC5MSBDpUzOhFwZRa04gYMiUsD09wLbawVJGwcngKUMsYB+FZiNHKWZR6sh18lNwCvEzasZ4Ij/N+91lXTR0ds2lWK0henW0pGRqCYdd8KosFc5XaJW2maSWRPVjpqxkJLpH4yYLr1HE/qLwew23cPa28+gozYnW8e/eOEKgsiOS4DBJxlS22+0e52uUar10olBzkj4+CqfaMUp06xWc6+tFLk8dpmyo49R+glJC6cex2DhtBubCcNwVOmbxy9H7OZ94M+nTqFj2Ker7pQQCtiW6m5DQUKJJSXUPrxyD5BAAA9bp+QGFy3B4JsTyZ7Yt7bO4Sm2SRQgF9Z776YOj9ONo1EqCE4tRKUM/oLQJw1SzngkBTV2usBUSBvRQIpiQkBETeIQoFusIjOvIxfLEubJnYkk0LarlrllOuREb4Q7KZguAPFnBkDBX/dMqIfqJHZXzTBphlgqVg8p7jBIG2mCUsJTm7FQ5uVFMmmNkRnGqXKJvEoZGs5zGfnIsDxTGMzSBidXMrOJQvcLA95lJa2zjGalNXLBxoRIcztfMkhG59MidwStF5R0TGbFlMyYyhdmQmU3QSti2MTM0iCcN+WJBc6AXx4KeifxX64UzdfTXHZ86ylRTWocyGufDYqGoJWeu0C/EIvcuJK0+XuTMJgxIVY+MPikZSUgh8SR6wLi6e5GFb1RBT62ShpzC9+mFnFzFKS3Vwsw5BqYVoZaog6fRLS907hluMywXUZK4LHZ+xqQ6SW0mTM0WG7JMFXaomp2WNzuJWn5B0Krfaqq5aGyqedm3yAXuhyUy6aOCQghk9FEYUikoVRoFskO6SCKKDdFAzDbdv8hTi4zY0M4KeyuuzN+LGBIz3D2n4HBubtx9GYrE34uHreOwXTg6g+0icbY0w7euHKN0sRqBJw5e23XKA4aeXHtKpxi0IozjOmCUYmo9ExvItbCepZhGUYdjuCQaGVFKoqayceI5lX4OjSGRHAnCzA9YU5qJ9ehGkWlho3LMnGsnw7lCuaEwcTBdzyBt6z5WzpNKVDy3QXABTkwtm2HMRO1Q12Osn7WZiDlOZYusOlE6/i+G2k/QOqOW/kI5P/UZQ4aYdvAZ+mVWVMEsWDKXYVRCErL4AKtA4hOQKNqZ61hCaj0poIFS7SBU1GFGYyeLkOHciIkDmV8Q622b8r5YmbZIzLD1brTZY8mQudp+kUYleB+i4VExXvhGah/rsGoTsxOrMCaXYSTVqzx6MdoKA7tZWl+YcGUIYZG4MDcqo5RBved/2olBsH5Gw4REirYuZBN5ya3iuRJDqqOHNpM+NollxhwW62ax7maIoScfGkbuOCF4SogZoXvDsy0ZOl7X1juCICp69hBFLKSlSKRYTH61lCQhGl9liDVGNbHubcGQ0FbaOOqvRhCGOqOfKxIRNipLGao2QaVpPZueui2TpiVHtEKpXptwEK9P4+JCo/ETnDSMlWDEMLKG3CgKIwycELIUqWPpKB8Cqc9IRBECGIll0UrrmTlPoRUuBHxLxB830LRJQKfciFPyWWbNFs6VBCyNJCizHMPDKiXRMVN8JiXKKlxIGdaGiQ2La3kgjxmp1wwsm7XhQGZpvDBxwmfGBamGno7JRUpgLbNYLywlts3wNhztJbiQcLpMmdcLnRIXOlFsN0pOTP0Gic5RTpG4WHe0likjNWIiO9ShZlYvYdAL40+CYhCWyCVFE2ttBmJoF2BkFSdnsT7p6brE+ozSuTasHKikiuX4gkfpHvOKBNZXIGqRnCGoKKAr66RkDP2Q1SRDN9dQSQUZiz5tJGPoV8hDxtCk9E28l4mK2eFbtbCSaoyKIuRl26Wj6dyOD3Ni/mIqnGe3O5ybEEJNY0dMOI6I3lP7WLULvpReus60PoNSCZkZYF3VelQttR+39IUVbLuQ64chjdT4kJJJn2BiWxKV44Nry8u1Arrnq3rQlquLFR407DHCBI1SGZlZwvoKLQmVHbWJDf4ec9iXAiGA77JEv2h0BluHDh06dOjQ4RJCwJ/HVOwMtgvGRRtst99+O3/+53/OHXfcwXQ65eDBgzziEY/g+uuvv3Slni5jfMfVJ9mexvNe6c+4e3vIRp1yVX/CVpWx1RiWEkWhA4luBV1DYNQ4Em1YzgQbNOv1Msj9sMmMyo1ankGFl4ZxcxyjCzLpI2KYhpV2BeupXIgetqbE4hCtyUOUDem1y99MC0tJFMK0AbbquH2rdoybuF68y5+J3jW/S4JNdEGhVyNBN0wJwcVyWr5EKxU9bJIykz5LFNTO0ZecQ1lGvzlMqhQrvag5dedEMbGazCdYHKkYtNcYNLWPK/XQalEtp5qZS9uSQZqSEdbHMGx0/e/xYi1CARbvpu3/cQWsVIJISpGsLaQsFIYlfRijCnxwrKkrGXOGyo8JBGZ+myigGz2J81I6QQI2VBh1gECIYUYmpGZAZbdbou+9J8yfqzzVItwRXHvc3fCGtPIOsFvqTFrP4LzYOQmxfFOIunnzuqRKNKnq02OZJb+CQbOjRuQ+ZzM9xcSdITBfzRvKZqstYTWKhdL3iPaC2xN22VN8WlLmWn2JZPg2VJyGHjVT6jAhlRxBqIEi5OQhB/Gs+jUGLJFguF8vEuAzHUNsIcDMKlSjSFWBDSVgqKWkbkv7FGo51n/MbBv6jV5V5xtEFLWbkGoo/ZipHqG8YmgTbNDkmshdlDbsV1l6kpNqjQ2BrOWHVj5QekuhUwJR27D2wqhxbIeot3ZKPsdOfVfbV2zbhir6bHSBVmkU0SallCm1lFi3TFFFjbBMReHcIwUczS0PObjBzjTj0PqYpHDcdecyK0mfmVOkylN7RaaEXDlmQaMlYCSQ6agPZySgWw9n4wOfKxMInkT3cL4hAI2bMpENvHYxsYnIMxyxQe2nzMIGpVomZ4DCYIIhDelCjqhvNINWOLj2UPnI9TtZNpTesqNGVK4mDQmJ05TeUquaHqt45eilB6IIcivvE6xvvbgGrWISwpJfoZKKoUk5VGgyPWRmeyT2n0OAWipSl7EkBb3EsJZpMg0zF/lzqQaPZmBiYta4oQ3NOlyoF1GCed3jef1RWl9xhG+lcSyxNFiMImjVR4mO/E+dMtCH8EkcX3I1ZOxPLnQQqzDBSM7ALzFTU0xI6IeCEQ4lhp6sIjomKBjJWr7hdjs2zJ/BvfI/sR70Io44p2Ps0WGj5cNplVHZHbJ0ibLZapO09sotfQkRwLtzG2ydvXbhuGCD7c1vfjOvfe1r+cAHPsDhw4c5duwYRVGwsbHB3//935PnOTfffDM//dM/zf3vf/9L2ebLCodvWufwqR38tEY9/J+x9u5PUJ/26BzMZ4aU4z5LJqAk0DdxIgAY2YaB06ylwkQLy0mKsWtMzFGUpNQyomp28KGiajwu1KA9SlKmasrIDpg5y4yKxBlGaoylpghD+r6PFiFRQu3mGWmBoYHaC32jsAFGrmKsxlgcW+HOqMxLNNQACr3KWrgCL5GLUTFmKls0rZq69RWVmpCpKYoDjH3F4bTH/QfCdpPQM3Ao8+TKM3MGSiiCovSentZkTlN5x8zGSgszG8MZmYphqdTngGIn2MjRkiQS32GPocbue5n73BWqzRwzqmBoovaWD5ZEco74o0xYwYrlsKxwR4gcnSqM20zIitws7RalRlAkVG4EGgqG1JQxNGOWY+1A1cf5GXh7TsNsL/Zmju4fwua8vDYMigJJERSpHuwaZfiWn+do3IzGTpnXip0nHCiVYkgY+CVWdMFyYkgqzbFexp2znA01xATDKNuk9mMaiVy8xpe4RWF7i1JJO1dEAc9YfHpXid97i/VTEh35chKElIySHWo/w+qGed3GaLBlZCHlUJbjQmAl1VzZg1x7bBByFRg7hdFC0hjyMGDSZuDaUFL6EYkULMlh0pDi9VFMMJSqZIdTlGxG3lszw6tYcHviN3DKMrQ9tmtNv1WvP5DHLNCdWhhqgxah8oFCKyrnKX3MjmynSCrn2ao1E+vYChM25Djj5ji13UYwCyN3nhyTqaVouEmOCSkVE2wo8cpjas3BNGc5E7TAFYXla9Y3OfDgmrVpSfKAVbjfIe73x59g/fiUU1t9fBBOlDlaArZVxK+dovFR3PV+vRpDwIYM62HHCuksxxPIzDIuNDQ2hrVrP2oTanRbUzgatx5LbUfUaoI3h+ixQhp69CVlOTE4Aut55M2iYm3NiYWdynE6bDPWWwjClC2WOEDuDVV7/9b8ekweMRljzlD7CdPmNDbMImVBaYzKyGVAISmlzOgbzYEMVlJhqzIcCCtMbGCjqki0JteKQaI5lEMTom7cchpNrtqAVrt6ctFwLGn8rDUYM+aahoJCZO8ihZb83yYZ6aKt5arombW4yLGbZHrIgFWsifWHcxkwlTOtkaWwbkbFDoor2OEUPVlhmR5piNzOQRiQqLy1Gz3WVe2CsR0ZRC8WTTFz3MEi/Wz+XM5rVMx5uTFxwfkK62I2fMCjVR6TKr5A2sYXgxDAd1miXzQuyGB7xCMeQZqmPP3pT+f3f//3ueqqq/Z9XlUVt912G7/7u7/Lox71KH7t136Nm2666ZI0+MuNs/uW/4ZHxX/GY/xggF4a0jtxCu48w8qZKaemBUuJY+piUfatOmabVTRMbQpoEiVIIqRaODw7xhmVMJUM6ysaW4M0WBuLGSupKNUOp20PK5YdOb3IMAzBserX6KkULbFMycQGlhOhaSfD2kdDbmYDE5ly2n8GS0NjJyS6oKfXSOnjVMMKRzgoy9TBUYYeE5XjlcPqKFngQ8zOtKrEBs9Ijbg2HXL/fsNOo+lpzxW9GVNrWEoMtY+DirHCUqIYBMWpmVBaR0Cx0zR4DINEM6fUJiFpEwd85Fu1Rc/nnql7Gj4Krfskpk+mhySqz9CvkoWMiZqw5IYcKTJKF6shrGaGM9NlGikp3XEaN4lK+rrXkuZjllki0YvThJJBWKaSWRS/lIzS9KIhZW00rOflY87Hpj1bMBdadfO2jwXfClz6NgFCorI8suAnjptTaKXajNeaeTme+URhSOL1w9DTmmEqVC7hqr7gQ0Zer0diu13ibjmJT3yc0N10j6G2m823OKc2gzUQYqauBGo3xaheJGsri3iFF4f1UxpVEthVfO+rlEIrjhYKBxzLA4fyhr6xnK5SMhWYuphJbdD0fI+ZjjysJsSi45nps+SHHEhyChPJ/6NmyOesYVsbZn4bUZO2XwiNjyLJW7LC6TJBFfFaHSyilI0CBpmhdJ6xtSwlmlFtKUPMtLQh4HygDo5Ts8C2n3JSPsOoPr5Q7VdKtZPsXMomTt5pKFBBSELKVDap/AgUKKU4oq5gLVLvOJiXHPiaCv3VB9AuEB781YRDh0g/d4rk6oreJ7eYnkkoT2ty7fiHSYFRMHaaiVNkOnC0NyUEYWQ1U6eYWkUvFCiEgTqAN7HSSKxGMsa1WdghcWRqQOPGiCgaO8WpikKv4iWWsOqbhH4iNF7o6cjfU8QEjK3KcaqZsq1OMHPbFGqZ0o9JVY/KF9RSU4SCtSRnKdWs1xnHmwGn1J3M5AzOWbRKY6UKVVD4AUZi4fZUQV/HBAtBcyS3HC8NRjKUxGSCTMfKE2fqmKXa154mRAmWqYuewMZ5ttUOM0Y4V+J903odI4duV2JG9hhsCVrHknr95BDzKi0r4QheHJtGkakhqcsYqHUqmWFCEj35vsGruKht1IxKVUzdBkobPAcoJMXhWFYFiTc0qoz82T3cW6Vyonc7jeOfr9rFQNgdPxZe75gTPPfKx7J/Y4KvqNwIQceC9G6vB/FLiADenft3Q/hysOq+MnFBBtsv/uIvcuONN5738yzLeOxjH8tjH/tYXv7yl/OZz3zmvmpfhw4dOnTo0OErHF026BePCzLY7s1YOxvr6+usr69/wQ36isUghhXC0aOEo0dR/B+ywQ7pKU9fO7abGIoZNdHD5vHMnKP0LYdCoGeEQ2lBqA+glaEyI6ybQqvn1NgpSmlKvc1J1WBIGLnjiERhTYCBysh0lO8onad2gZlSbNcCaVwRe2BkHTM1ZlKdXtQfFNEsh8ME8RgSlkOPlcxQOUXqNNorGlXijF1wLXyweAJNcNRqSt/AwawiV4a+sawPJ/idAbmOtUo1Mdy5nEav2LhWTKyjaRwbjKjqHrVPKX1snwq6rWcaQ4X76k7uKfWE6EXmYmqGZGaJQi1jJCdzGcs6RzlhLclZz4QmaGoXuS55yFDKUNkxvuWszMNaSqJ+1DzDtApjVDiKC9WiXmYvOUDtRjip8dJ6AAPslfc4/xpyvjI2540MKBXPLVMDEulhQoI180ziEeBauQ2N9w6tDYhqs+E8c51lo4XlxHOoUIBhLRMqrxnvLGNUwlg2mcrpfb8dQmiFeNusNGUIVEQPYgy1WDeOBeZFUasZRlJcsJHvGEpcqOmpFRwx4/JAoTmUx6DO/foVw6QmM45RE6/x1Ak+eIwItLVBnVhciPy0RAqGKuNoX7OegSJwptLMdpbQQXNKWZwuI0dNUpowoXIjxukWp5ocJT36RpG0N8UDgwQqJ9j2LpTeUkpJL8Qs3NJbKhrGFnb0JjvVXdTN5p57OPdcyELmJQ0FPd/DiSMLke/nfE3FCNGGTF/JauqwXljJKsw/W4X1FXCOcChKnXB4FSlyssFx+PAZVsYVRjnG2wOGiWPUaGY+es+HRUVdGwrjcQgOKFSCocfQryBKmKUFqfQ5Y8dYF3mppuVmNS7qigUanHeRIyguasQZRaLiGQYiJwwiD/ZUM+W0bmshuxmNRH3CRlcLOY8BBWuZ5so+bFYaP+kzdkNUOwVplUUvsqT0fS9y1PFtDVfP0DimRvHPV0ZkOwNsiKF662N+ZKZjhmrMXA3ULma/j+p4P0e2YUtOUvtJfLZFxVqj7XASa7jOM6DbNumMzAwQFEtyOAoY+x5rus/MWSo1o/ADggSK0KeWsg3/RykXCYrajbGuYqTPULsJjZrRBMeqySitITMKkYTNYKLmYHBt2a2GxPTa+qRxHKp9044jrdTHXCx33ovnQuU4El0wqk8TcDR2hJDs7vdlCYnKvXjYvsSN+QrGF5wlevLkSU6ePLlHkTniYQ972BfdqMsd9yjafS4UOZJAZhyNV9Q+8j4yDaUTUhJq7xi1Ok/WB9JEWMkUU5eBW2Gq15ipDbx3BJrFQFq6HXA7GJUxqzfROqWXrsS6iKpVYg8wtR7nY5WFKI8Q6+GNasemnTGTLawtCTQYcjI14ADL2ODpa0NhNIURRFR0uktG7VbQKmUm21iJBaYVQk3TquxDohxaDEYHVKvRBFGSQEv05BealiwdCyqPXc2OOs1UZUxcLEo+9qfbyb9hYZScVeh4kd7eirAqyaPBppZIpR9DFEQR0EISekaRaTAh3r/GRwNyHuKL/KyWDzLXPAK0ZFHvLVR4iX0+alLFwXxDZhid40O1T+xyMRbtDYO26fi7HUq3oZik/a4syMRRpsMQgkOTkoUiTg76IDPZjvIcYtpQcSDs0YQLwVKqGbXrM24C3sd7MTQwMcJqFie8gcrohQQrbhESipNWvO6QtjyYPWJKIbTXSuNdSSUjtE4p3SZoH7laIRK8o4irwYpFK+FABkuJwwVYyUqMivTqygulU+w04ELAiMYTz9tho+GsMnKW6CeK9QwOZ5ZUeRJJOFkmJHbIzK9GvmcbJvbiaELk6m3q09hmhcN+yMQZSh+TgDJFm7gQqLynwdJIgwsZ1ntmVEzVmFpKdtxx6mYH70pEZWjVi0Z1W7FBUOiWrK9R+DbEPTf6na9xqo56bzpQCWRZA4NVMBrKPcRwpQhrq0iaoj+zybBXUVWGmRdSL8y8MLVg2vm48ZrGq1iRwkNfawZunWV65D5jIgMKn7NjjlPZTUKoW55TNCZ3+U0xmSSKRzuMihQLJC46ZzZWbjldl5xUn4tJLG3fmCd/+BDvmQmGgTEsp3A0b/AhYWQ1+aRHoouovWaiTIchIxfTLhQUPkStSYBMe1ZXJlQ2hoGtFyZOsVlD44XKRxpu7RSVizqTG5Wj9pYNRszcGby3iCg0SZTEUVHrzOL3Pq2AtMk7kVqQhQKDoS85faOx3pOHPkXImcqMJCQoNFbqhZwLvm717xom/gwBTxMqahpy01sYi0oEF+xCLy8zQ2o3Jk9WFvVotSStGC97Eg52x5SYkDRXZmvHjDl9JEQuZ/Dt+PllspD8ebNEu5DoheKig9kf/OAHechDHsLRo0d52MMexsMf/nAe8YhHLP52aFHV+EpIlKPxkdxsA+Q6Ggp5q/K9UztmzjOzsQZOpmMJnIHKWOIgie5jTN6ukBQhOBo3oWw2mdZnsG6Mc5GkrsQs+DbOBya2oQ6O03bK6bLhrqnnVNlwopmyqU9T+VE0dDAYlTHgICtpwrJJOJAbVjMh1dEjaNpCzquqz+GwxnI4SK6XYiacZHiJGYK1h1GTstUYJk3CaJoxsYbax3Pr6bBYqXsE09b5mciU0m+z5e7kJLezKXcxbU4zaU5FQ6odaPZy1iLTKZZuEUnbl45q88QVK9B6AAO61dlyAUoHlYPt2mODpwnTxa1TkkS18rnBJnMvmIpGkJQLz0AecvphCKJIdR+t2kzpvQK9Z3WN/cOl3yfmG0vRtJN/NFEwKsMHu8h+lSAURJ0vUXrRN+YrZxFpuXRQMWNkG06XNRPr2GiiCKwNkEksTZYpRapMO+kYtCri1V2s2Oe6dq147r6TcYRgsW6MtTNmzQaT5lQsqt1WxSB4PD7qaAG5jgZrquLKe9YYzswKthrN3aVip46uEtVOUGlI2zJtKYVaZuiH0fBuSX9D0zAwjuVEWMsMy36FFY6wHA6TMSBV/YWxNPEbHOfTbNmK47PogbGtxtq89NvM+rbKgqWWmio4pmrKmDNM/SbT6tRiMhQxpGaAVhmp7pGogkQXaElQKBosViwNNiYf6IJY+SEq7/u2PwIwnsJ4QvjcGeTUKWga2NiG2YywPES0kPcbpnUsITVziqbN0pw6YWtSsFlmnKk1Yxs1FwujOBzWGCSGg2nOGkOGOqOnVlCSQQg438TMYGJyz1yXzIeaJswopaJxgamNWaGnS8fxWcWd5ZQz6hQ7zZ2tCDNole5qnBEFxVMSUq3oG0jbxU7PRM92rlfpJQfIpE8mA3IG8TkloIOm8oGJFaZ2Xj5KWCoq1hPLWupYMrFSy3YTBcDrAJuNMGrgdGk57UeckA025S4qO45eWgSjY9UMpdKFoR6N1ZhUE3AE76ImpitppKGSChti5RFLwBAFoiuZ0Uj0hPlg0ZJGjl2rDRiCjcLVxNKAVmybNhCFlJ0POInXzOiM3KyS6D65GpLqIUr0PRIFzmXixPHBt4K+7XPaji0h1G3S0pfHWAsBnJNzvr6QFt1555089alPZX19naIoeOhDH8oHPvCBPb8XePGLX8zRo0cpioIbbriBT37yk/uOsbGxwc0338zS0hIrKys885nPZDwen/1TlxUu2mD7gR/4AR74wAfy3ve+l09/+tPcfvvt+/526NChQ4cOHTrsRQhyztfFWmybm5s85jGPIUkS/uiP/oiPfexj/PIv/zKrq6uLfV75ylfyute9jje+8Y28733vo9/vc+ONN1Lu8V7ffPPNfPSjH+Vd73oX73jHO3jPe97Ds5/97PvqdC8JLjok+ulPf5rf//3f56u/+qsvRXu+YjBf4cjGJjhLOHgwbqgq1J13wYlNyrHBqMDERa2xRLVeBSDXGusCY2exwTDzlpWg0SF6SFIFfdsnNys0Pma8RW22MmYx+hmeWfQ67VHD3nYlmSS44JnIlCxknNEnqP0qutY4HDvqNKUf4YMlNQNcqDGqx6pfYZgItY76RbmJWa0wL8vTFifGIJUwU4epmZGFqCmVhx7jJnB3mXKq0pROMbZxtT+z0buoJeCDMGm989YHbHBM1DaNnVE1O0DktDR2gm1r/EU/2SKNMoYBiLpt+2vwyULJ3AULAo30GDkhF8PMKTZrzcwGGufZbGomMiUEj9YpwXqMztEqi5peC34SccUcoip8GnqxTFjIadpsUqViOSjrxohogth9K+E572S3D+lFev5e7TVZ1AsUtM4WJWtcaHBSM1aWlKytzZkSdMCHXX6fIoZQRSmcWDbZxhPIfc7nJsus5zFLeOajJwLABo+TWI80Mf3I83GhrXnZLMK88/bOwzDzZyH4yFdyXuG9XVQesK4iNQOsVDgstTuA9YaRVSQqcKbMmDrDZq05UQonZ57azT2FYIMjI4uZhmqFNBQsqZxcQxWEzVqzlGg8sX8lOlbKKGy8ZhtB0GJwpsZIztRvUNkdttKj/MNEY0RTh8ifsz5q2I19hZPIz6ulRKGoZMK4Ptme007bPoOIJjWDlgtWtNdDLTywUxU9t1YsacjpqTUmwVEwpPKBnUZjgapKsJ/YRB8tKf9uSjH4OGIM7jMbaKXgysOEKqBM4NQsJxCpFS7EsP6ogTvGPeognCjnOcNRg/FYL19UAPAheuEH4QDb+s7FuUQpF2mfvT5KJThf00jFRO2w0yyhLRgRjjcTttUGtcyo/A6Nm7aeXhVLtwWLVglaEpKFdxoSFdixmomNE89QZxxx96eWmqkaYUJGz/ciGyBAFjIq69lpFIXWGIEzW30GeU2qPeIDmRKMUmzU0ftnfeBUGes2H3c7bMhdNKGitJttaFCjlEFJsvBCu1DvG0O9rxBJY2kpG6/PODkDeLzy5PYAY+J9rWlopMJKjULjsTGTW/JYf7ilVHgsRrI4fqia0noaaRj7Knr6tCaVHlobCpbBEH2T4qlQWD/bP460T/p8gIm3brcKSSwfGPeZazPOs89pZUK+lAgIzp+Hw4bQNA07Ozv7tmdZRpZl99j/Fa94BVdddRW/9Vu/tdh2zTXX7B4vBF7zmtfwb//tv+U7v/M7Afjt3/5tDh8+zNve9jae8pSn8Hd/93e8853v5P3vfz+PelRUenj961/P4x//eF71qldx7NixL/qcLwUu2mD71m/9Vv7mb/7mn7TBtnhgRPBv+wvQCv1ND4LG4j/wKezUQh3YHg9REhg1mjbiSaFjCCRVCuOESaipnWUmJaXLsG08PxDDpktymKnebDW5FGXYaEvMRNJ3JKv71tWvOaNPkIcBSoRSYvmhsTuJUxW1n2BUj7o1AI3qUahlJv4MqeqzolKS9pnSKpbbqlx8AIwIuY4DdqbBkdCUh5kRBxxBKELOpPF8dqI5UXpGWSQrG4laTT0Tvz9zMHPQuMC4cewwo/IjrKtoXJRg2E2tt8xLI8Ug6hxtGap9ocB2cAwN1k9xWIJYSsmZypglv4JtApUzTH1Dg2VbbRAkxNL1Zp0ZZ0h0gZGcmvGuZAohhjRa8nuPIRUzMtFUoaZQy9Rh2nJNdts+/+68jfu4j60ERwgBpaSVyYghTmnrgebJyiL060JNJWPqMGOgDuB8HcM7KiNoi/Mt0V4lxHJRse07nMITKHWBKhUz26PxgZOzhM3aUzrHOFQ0qkSplFSlUa5CGqStyRoTDObNnpfz2asFZRcGo/O+1X1KsX5GwQplGONCzRTLqcpgRFEYGFnNqGFRRP1UMyMXQ6ZNG3pyUQLB94AeGSnDXKNbLlXthUInUVi2tVIO5ZpRE3mXthow9SYKo2KpZIz3TRRLVhMGfoUkJGxUCTMXC7RP1IR5bdQZI2pVUvsxZbPJvA6lUhlKisiHkrRNhsgQNInkeBwuOEp2Fn1o2a+TkuO0ZcWv4z2cqWNI6MysgI/D6ukp/3DXKlfWWwDYWtEfHSfZnGA3Pc1McbyMQr4zF5OVrIcywKfGBgFOl4HCCKnE53gpgTNVpDeoWnA+0PM9CrPSij6rhXAteJToRYkl66fM1IgTfgsTDArFcXU7pduOZaUAUbqV2UjJ1RJNmEZJjtCLYsTOYn2g8Yq7S8N2HcVs13PDkhviCHy2NGg0PYnJBB7oS0rtAzstzzfX8KmdAV/NmMopKj/n1sKZMoYqfQiccY6ZbzgldzCzmwv5IYi0kfkCrHKjWB7Lluytrznvxz4IwVtEUibNiXicpAaBUnbIicXpaz+Oize1TCx0LxgSbFsI/mxUMmHTljSqYiIeExIKP6BggBOHCQYRxZS5gK5vS2LRyv+4RahzPuZF6Y+YnCVKaOykPZmYYAHzEnpzXbfqHu26pLgX4VwCvOMd7+AHf/AH921+yUtewktf+tJ77P72t7+dG2+8kZtuuok/+7M/44orruBHfuRHeNazngVEcf/jx49zww03LL6zvLzMddddx2233cZTnvIUbrvtNlZWVhbGGsANN9yAUor3ve99fNd3fdcXf86XABdtsP2H//AfeNrTnsZHPvIRHvKQh5Akyb7Pv+M7vuM+a9xljxD46788QG4sV3/mI1RTw+c2lsi0Y5BVbJQ5/aRhZIU6gPbRw+ZDQCsh1ZptZ6mkoqFk0qwAcUIsnUOJYs2vR9tER7OoViPEt8XPYbEqrkM0UKyvmEoW6/Z5Sy0TKruDU1VUvTZLGNUjkYxMDTnmr+RObchCQT/Ri0m5aj2CU+tJlGDaxVyhYZhA4xSQYV3KzHnq4Bhow8x57pwQV+F1TqE1K1n0aKWNYIOwXQfOVM1CmHRDHadyI1xoCD6S9oPUrbK4WawQCRJJ9fPVcAiA2/X2SOuF9A1BImnaqwatE+oww2uHCnEArdUUEc3Mb5ExYN0fJVEZXtdRmb6t3QmxRmYILmaMhujBU0Ev9gkSWA4HOcUdaJ2jXR7JzcrsJkrsJfouBlu9T0dpbtTNCexaEgbqAGUYkcmAmd+mDpEnhvHYVpDUtELHIpGLqFXWZrAadDCM2+oVQSzH1YQdv0ovDLDjHjvMkCDs6E2aUEbit6StAVjhw+4ENu+bi6oOi8zcLN6buX6cb/BET1MgZhFbP6UJM0ZScuckDjt9Ez1j48ax5WZYsUzUiFW/RhJ0O3HHBBjje1EMWqKGnwK2a9ipY3JBqiGROHkfyGNGrHVQWoN2Ocv02PZTar1KpbexfsrUn6IxU3qyyvFm916XMl1kplZuB0/AhTJW0mjvnZKcPIlitBqDaSs6JOT0/RJjtU0jDU2Y4YNHi6EIV5CJRgXF4aSHCGzU8c7/wzTnrlnGgUmfO6YZJ8ocBRTaMdhsOHDHhMb2qK3mTB09VpWPNXgrF6hcYLvyaCVMrMMHQ5HHTNiVxLPdqNZbGqi9xaAp9Bpjfeoew5pWGYnqx5qYIerpnZI70G1h9Z36Lho7BQLGFGR6iIgmkYwiDCNZX2mKULTVVRyVM2zWsFVFr61RwsEc+lrwCJNmgA+BwihKF1e3PW0YO8u4EXzQKIGZM+S6z1atqUP0r7sAW3WNEoUNnlNymqnaYlQfx7pyX7+dF3v3oaF2Y1SIWbG7CRNhQeD3C54ilM3WYmFsTTT+rI5iufMqMKn02rErPrs6mLYKh18YiRANvA11GkFRMQOB9bCMEU0VHFVoUCh2iEZi5PC23nOVtPrmnr26a1rlMbrgS4QE53c5ubRGXMCiVY8vh1JtgPN72AI84QlP4E1vetO+7efyrkGM8r3hDW/gx3/8x3nhC1/I+9//fn70R3+UNE152tOexvHjxwE4fPjwvu8dPnx48dnx48c5NM/EbmGMYW1tbbHP5YiLNthuu+02/vIv/5I/+qM/usdnIoJzX1pX65cLc0/J/zyRRymLrQEjG1e9aykczgpEoHYxi6t28wzRdo6W6G0CKCWWRdqwMfyyYlImoWZJctaSHNusoFSUadCSME/uFlgYAo2bYolFvRFFonJUO8BaV9LYKT7Egu4Dc4iMAQfcIa7q5zSTWAlgXhnBhhhe8AEm1rGcGLSOWWd5Eknjg0QwbamtjVIxtcIg0RwvK7abGafVXZwRTeGGHJ6uoRAap8iN4nRZc5ecYKq2UQij5jg2VDhXLciybXAGwbSyFHNNAdcScP2uxwe1MFwXBqybQogVIoRYXNrqKmYrtoNZqofYUDFQBzhsBvRcTql3FuGsvdgNdcR3Xhx5yLEtOXpJCjYkJQRLnqwwqzcRUkKo2F+YeY528Fp4q/avxJVoEl1EFfX/P3v/Hmxrdpb3ob93jPFd5m1d9t7de3frji0f0IFE2GCQ7TInQbFwJFcwFElUCOs4ip0iyDGoyk6UkJhgAjlOxSYuoGR8fKGoUNiUj+UUULaFMBCMbGHJYEA2xrZAt+7et3WZl+82xnjPH++Yc+1uXVBLrQbEHqqtvXuuudb65pzf5f3e93l+j0zMOCZKz6BbYu7YxVy6BUIjC5wPVH5OLXNELFx9/97Avh8WGaYLOndG729wl0TUkZk/YcwGTQ3S4gmHLuEhlJ4HLnpSo0SEXJy5NUh16FKk0iVNZYwTsyUxTKljU1/S555MZDYsmGRkK5d0ck6QGodnJzPaHA5Dm1nwzPA4LLVjVVESCjL3p5FpE7jeBh5tbZ9dBevIXI6wrGzEPA+O2Ldovk6qJrp8wZQ7dvEeBNi5M1o5ImhDrxtqmTFqx5i3TLkjpTJyVhBX4X1rKRepiO2lsiQNWmbasuGCxMikQwEwL2jEc1xXzNIRtxae9ajsohXpv7azFJRf3XrOR+VXXUXj4bSugJbjywWndSSpsJls/JvVirYhKbuUuJvXuOioqWiSs56wM8xFLM8bVRk1k8is8inr4kQcCyFf1eFdZftBgScnIt14h3082RTXqI5m8mFB649JGqnEMCY4zHeuDapKJNHlyO3OcTFOHFUVWYVHm8wLZgNjcnxk17CeMrPgiNnAMbV3aIJdiowlJuxsDDSuYswwlXPqkOCCHSj00nMv/xp9PGcqRghwBDcv4n0zF8Q0kHJvzthSpO0F+/vpCdh42PuWmDblXLphkzYFvRHN6FUKu+THMgYNVLQEaan8DC2JIPvfvb+5PpKbqCgue240BgK+mIQpRpw6EsXBS8ZJW/6uUN2U8a4Advx5b0aHcX/MPvAa9lIS1UgIS1J6/uOpVD/xSLSqKo6Ojj6pn5Vz5ou+6Iv49m//dsDA/r/4i7/I2972Nt74xjc+Z9v8m3E9a9PBn/pTf4o3vOENPPHEE+Scn/bnt0ux9nA9XA/Xw/VwPVwP1ye/8sf582zXY489xite8YqnPfZ5n/d5fOADHwDg1q1bADz11FNPe85TTz11+NqtW7e4ffv2074eY+T+/fuH5/xmXM+6w3bv3j2+6Zu+6aPajb8dlwLv7v8Ntc5pL1t62THPS25VK87mgVszZRMdfUF6NJiWa6+8AhCVgmxQ7vk7zPKSpdYMMiBiUS7rWEM+YuM2V5oFCh+k3EXF1Bn3KvdAIskM7yprqetwADAKjjknzHTBrXbGrRns4pwxZUSMrzSkTFSli44uRZaVwWO7qMy99WzaEtQ9c2YicOJpvOlx7vvbbNJdUurZ+BnRjYa+iBCmwNqtuZ8/wBAvcATGuAGUrP3TBLUiFsmEmiZKtSKVmKEDy0ykZPwZisM5+1s1knNCNNHnc7Ja0LkTT8w7vGup3QJBWOUTjueBOjrOp0eITAyFMbcX72eMZeeQPcaYhS4M14BnESqW6ZSNg4YjRr+FBJnh0AV98M7dPkfPPlh9z5F70OQQ3IygFZVrmeUZvczos+laprjFu5o6LK0bIhUNS2a6JBJptCGR6GVH7WaY+Dgy5R5N1gnbDffwrmKqtvgCAW5kacaCw3t+1fEUCWVM7QqfKiIFEupdQyaieT/CGUsXJpSsVRtv7LBxZNTBwq5zx5Q6Uh4IbsayepTObRjSnEjCYyzA1htjyzsbA3bJur8bdlymjPYnnDaBrHAkyioo68kxC4ITx6oWLqeAT3Oa/GI+5P4dAxdkTfTpgil1xGokSM2YO3Aw5EvGtCOlnpS3B+6VczNqP6eWGcmNh/NBJhadl5BJqBR4Q+qR6th0nsFx2jgebRRVoe8NwfPENjFkpcuRQScSiRkNp3VNzErjHY/Pa+solaucP2R5JvocOXe3Eec5TY/Qp0AXA3MP2+joorKeElM2xMokEzNtmbsTthpxbgaFReZcbWCPEjemmg6QXTv2TIbgpKLyBuIddE3LkoaKnFu8eGqxzOJBBkNYDBNRIkcc44BlyLzw5JJ113Br1pBxtB42k+CSYV0E2OmE08g9f4egFVzcxIkwpMgqVCBw6e4zakfMOzb9k2UkmHGuMROIeFzJ3UzZItjsnGjPMdXClS54jwiaNzfw0rKDA74mF9mGQaob61y5GTH3RCZETedWSUvlzJA1si45oZmYOyZ2nFSPgcJMW04aM5Bso5DIqBjaJupgEgc3I2X7t72GzcGg5NxVgL3kQMqbK9kIexyKvdacJ/JvQAD8rzcSfTbr9//+388v//IvP+2xf/2v//Uhw/xlL3sZt27d4p3vfCevfOUrAbi8vOSf/tN/ytd//dcD8KpXvYrz83Pe85738Ht+z+8B4Md//MfJOfMlX/Ilz26Dnsf1rAu2r/qqr+If/aN/xO/4Hb/jM7E9v+XW7e595cJme92yeYxdejHj5hFqVwFCXwT2BGEX7QTtsPFC9cBHsEm3yT7R5xVZEqrQOmicJ6YiCHYmcBbXFP2C6SP2xZoWt6BKQmkOhRqacN5a9K3OmWvLjVZYBeVG6+iSI2VlFxObFBk1UqXASCSmGoLxqcbatCNOYO4zJ1ViHStSNr6XqrLLZ0xxawVZrMj1RO9vMOlgmqas7IY7V0HuONvuHEvRsgfHOpqwJGcT+jsJ9JMJ4ZW946ui8kelUDMNl3HTHMpYTnqFkZQ79oWLsedaRKOFMTtwlWM5LOllMHdg4R85fKHshzIujYzSE/AMTFQFWHwz3iC6iXlesfFPMeS9o9IfLnLPHH2yTw/QXAqigDj7vbXMSJqotMGruciA4uDrKWZKnAQ8LdfSDY58S1dSlgXo2ZnrDJik6HlwDHFDTJekHEh5YtHeJOWexi9JatDTvP855TPxbnEQ0FvWaPm6K05J9CDuHqf77IGdMfeFU2eGl5h3pUi3cel+H80uMoVjRC/p5Zheek7yMbVYSkaXrnRqfYJdnhjdyCV3aGLDC+KKIWFpCk0iqz13WQnLALUTggRuhJrz4ZQYdkQmGwnGPZNwP0ayAt+KtQ7N9vnjPKEU+0AZH9uFKJX9bMRuwKYSrq6oGRFyxgmc1sYjXFXC5Sh0WTmbRnbSc0c+BJIZc0ftFtyL182VPLVsLm5yow3EIldYeeFySGzywCgTva5B4Viu02vkYrRc3tuDsJ4iZ7GnLaPuWAq2JTcYXUdbnRbDjx4kAZWUIjuZQ3J/btkX7iHMqNyCoDU7IjNdEESotQKF4Dxdjkwy0LNllI4FBb1QzBLz1UQ31NxoLA2mdsYF3BZorkcO/L5Nuk1GGXxHkxf0cskynTLLc3bco4vnhZu2RkmlWKsIoT3IBxIRzVrOPfsRqMkuckogAe+XgDCrTzkOL8Rh+rwhr9nk8WDEsYJ8wkauM4NqayQ5Y0AGrc35KRVT3iLiDjBpzQkqDIQtFW2Ry0RVRrGbgFrmjGyYVzfs+C1mMYB+Gh9wkz+g3dVITv2VJq/cEO45ijE9WMw9f8tGoh/bdPAMjPivu77pm76J3/f7fh/f/u3fzn/6n/6nvPvd7+Z7v/d7+d7v/V7ApBvf+I3fyLd927fx8pe/nJe97GX8j//j/8jjjz/OV37lVwLWkfuKr/gK/sSf+BO87W1vY5om3vzmN/Of/+f/+W9ahyh8CgXb7/pdv4u3vvWt/PRP/zRf8AVf8FGmg//mv/lvnrON+824fv7nf46nKZGKld9W5kt+75eR64hzjuuDdSH7pBiwVehjZsyml7AAZUdFy0h3cHFu6HDqGUlkqgIQVRKmE3EF81CVgPIY7UKshZRNodDnpFfoCxFcMRqYC0mYebunXlXWPLjbK7sUWbOjdzvAsdQloyp9UrqU2UXPZjLzhHjTx7TeTBR9NFffWAwEhh4Z2A4TqZoOXcB9wWErUfkjpjQiLpgeCgM97jEBWRJOeyqZlYvKCBmcbwl+yby6cQDdOorWzzWkPOKcP5zInhZrhVDJHMdA7Qy7UjuoxIM2bPB435LzWD7ZTFVEvr4UcOYI82SsO3lr1nC/W3LEknvumEE2HBIMsn2G+wSDjx4GKOCsAHWzQjdvmJgI1Owjb0SCfZ2OPUwza6RhxpFvudZ4tlHoU6Z1jjvJ0eqSjAnfg2tw4umni8P7nDKgmSFuaN2xhaznyYpV1yDMUCIh2L6e80RVoqim3CG4QzGJyyVUeyTlbenI2c+v3cIMG64GcXa3v7+4iJAyTGlDJrJ1l0z0KEdkzLEcUwkCSLCdMgOjwW3zlrVbcz4s6VKm9p6TSpjUioJFbZ+tQwgebjTCqjsm+omoA+fpgyiRYbosnU5LtIixs2JNRyu2nTkhKz8nuPYAZt67cVOBokaJduHWESce7yoaXTBqZkqKFylOccNujFkYiazdObvpDjEPpDzQuYrO3yOmgeAbhtAhw0upRPBOmHnP2TSyduZSNNewJ0uml4GzSViNM7YxcxFHLtwllV57YI9TVnlJ708JVUvvzuyYKV1kK0StyLDki70I39u5xK/M3IQZfGqs2+Vx+PKebNgxSs+oW/p0QeMXB2Dw2eSJo7AeK2Y+swimU6y8EMQd8C5WwGTGtCXliT6eUfuFxY2FY1p3zG68zxgvSlqJIni8WxB8S+0XxDyYhiynQ9Sdc3ZDa1rfwF5L2lbHKMpx9SKupUdJkpiz4r7/ML07J+GIaV26bLk4NC3Bws5vdoNZ01Izo9KWSzFtYExDAfJOZDKNNnjnDiDvlO2c7fGs5CYpjNzgxUwy0Pk1Q74khIaYu6K9S+ScMIeoOcXf+89/gZy70jk0mC5q557gj4jp/GkYk+drJf14GrZnt774i7+Yv/t3/y5vfetb+dZv/VZe9rKX8Z3f+Z187dd+7eE5f/bP/lm22y1/8k/+Sc7Pz/kDf+AP8Pf//t+nbdvDc/7P//P/5M1vfjNf/uVfjnOOr/7qr+Yv/+W//Km8tOdtfUou0eVyyU/+5E/ykz/5k0/7moh81hdsD9fD9XA9XA/Xw/VwPbv1cUefn4Jp9XWvex2ve93rPu7XRYRv/dZv5Vu/9Vs/7nOuXbvGD/zADzz7X/4buJ616eD973//x/3zXCUdfPd3fzcvfelLaduWL/mSL+Hd7373J3z+D/3QD/G5n/u5tG3LF3zBF/CjP/qjT/v6JxNT8amunLsH/gzE1NGNdznTD3O3j1yMiV3MdCkbLylnC5bOmTFHvFiHTRBSnojas5ELPJ5RI9vJunO9DCSJzNwxbXVCWx0zr26wCDfwvjm4Iw/uyQI53Y94nGuow9Ly88gkzYzJXEnZiBgMMbPWnq1csuGMHfdN75Izl1Nilyd2U7Y80ghddmyjI6owJNiMia0zV92+26caSWlLP91jSlsb5aXBMAB+gZOWpjoi+CVVOGFe36AOqysoqcyopMFLa/mgfomTGc7PaavrLOubXHMv5EQe41gesw6i1FRh8YAmLBT9zR6v4QxIW+5XppzZjIkx2wFh6AVPVThb+7UfZ3qCdVNIBPEkMh7hWiMsdcHcB+ZyWrpZMwOR+pZD1mTR0tgP3Y/gcukozmj8seE5SpSNV88kU3EbhkNQti/j8cSII9B4YebNrWu8PEegotGaRhsClTlJfXGQ7vEcapFEKfUMeU3S/sBRq8OKWX2NOhxT+wWVsw5v8DNm/tT+W8IBQxKkYeVvMm9u0NaPWq5rOLboJrcgiOmmaj+n8nOQK5SMamSIa8a4ZqP36HXNRGQXLRZpE5VdMpjzxTgxugFTZEWiDNwdBm5PW253ifPJYM1dVJzYCDFjI7Y2QCMVp+kGK71OcA37KKaUtxZgHtdP00s61+Cd7auVX5YxeXzafpE1MUrHjnMSI0kn2xdlRlsAy0NSthHW0TAbtTetlkMYdYtqZowXxLRhimu2g2V+7oZ7XEwfZJ0GzuJAFzPrSTlzF2w5I8qAYFrTLImdbDhz97ndT9wZOzayZZQdUe2cELRiZGLuaq6nm9zQF7AKj7GoHincLhsXRu3LqFcOx45IOLgSPYGJK01UVCUXP+Sgia1cErWnz2um1JElMarSReUjO+HO/SVPdq3lKxewuGCZw2NWJs2Fn9eR8kTKA8N0zna4zTidse2f4mL8gLngS7fWezs/1GFpTEU3sxG/RusWFv2dnXNWeNfQhCMWzaMs21uc1C/hqHqMm+lxZlLTaM1KF9SyoPJzmur4cF64ioHK5nQv+raovXX6qQulcp9LetVZjzLicQyauD8om2jnZY+n1YZH9Bo33Et5VE44zdc40ht4qZn76zTBZCAiBt/OOl7p6/J+4lK6a/uliZgur849z+NSIKr7mH+e7Uj0t8J673vfy1vf+lbOzs4A+OZv/ubn5Od+yuHvz1xPPPEE3//938+f/bN/9tP6OX/rb/0t3vKWt/C2t72NL/mSL+E7v/M7ec1rXsMv//IvfxQ3BeBnfuZneP3rX893fMd38LrXvY4f+IEf4Cu/8it573vfy+d//ucDVzEV3/d933eYZ7/mNa/hfe9739NapM/F0jyQRNhOt7ldnXMUl8VkIGyjZ8qJgQmyXUCCOBpt6F3AicFRO7lgxpKdRO6PdsBbfqVnlU9w3jO6LXNOiM5YTzbOEQqO7GoVYWpwc1p/REVrIdzquTvYobIIxonbpMjGXRosNG/Lyd8KzF3ODDKySxVTn2mDXRz6FNhEOB8S96aBS3fnSjcHB+2WBWUHK2B8YyL5cEzMO2b+OpVb4Ak0bkWXL0h5OGjGsiQ8FQ0L5uE6zpnualnd4ohHuKYn9qtUOXOOSH81OtZ84J3J/v3AgrgtDWHinC1TnJEx/ncjnkBNIwuSTCYgL9wj1YRld8IkEw2VwS6dIQaOQ01wwiqesPZmU3fiGeOGyK6MZfeZf/GgCTsUg65h5o4tj1D3GaEwycAkQxn9VjRhad8ngagjbm8+KbqtPTKm0hpXGG8ZvRpdlu81gEJmyj1Ze4a0pnKWhVlXC4Kb0ciSsWStJp1QzSXX84RU8ibBEhaCm7PIxwRfoz6z0Xs0siAy0bCkkSUVLTkkYu4Z4sUhl3OvsVHNdHIf7yp2fsPZsCBpYD1F+ugYVblgx8iAkglUiAp35JydnOPHF3LSLVlPyS76yYCyY1aCU7po783SNZDN3OFdTYodNj4yo8U+1UHE9ts6LC0/17UfjWEp/93rJTH3iIRSYBvvrEq2z3TJmGjbaEzDnDnIFjKKd3W52Ull5DUWg9HEED1n7X37HPIp41Cxk/MDsLmSBhHHyMCOizJqhuzyoVCIJFqpCRpIklh4z8LP6VKmTQ0bt+Fcniyf9UifLsuYMV3JKw5IGpMf7KUGo0yMTAQNRIlcMtJxQdTxgJKwtIvEuVrh/cuXK54aHI2z/RYsrSApluEqPVFG+nyJAWTN0GLvsSMzMk4jTmrE2ec8q26QNVH5OZ6AJzxNZxzcDBw04ZhcUDSNLFjIdVqdc5SXRE3cqFq2KTFqxIkUrpqN80Vq9CDez6SyD+ecTHMrI5P0eOpinrEs3IFLg1o7k1UkMgM7tFdaZzd0izxjFSqWlWcxXWcWPHUUiHDpWhb5mM4fk/IEYlDdPb+Sgi7Zb9dHt7We/2INfj0N22ff+pN/8k/yR//oH+WP/tE/yt/7e3+PH//xH39Ofu6zLtj+i//iv/iYj//ar/0a7373uz/tgu0v/sW/yJ/4E3+CP/7H/zgAb3vb2/iRH/kR/vpf/+v8d//df/dRz/8//o//g6/4iq/gz/yZPwPAn//zf553vOMdfNd3fRdve9vb+GRiKj7WGoaBYbiiQT8zNuPjLS1agjGuOaufBG7hi85pNgVGzabJKFBQpw01FQ5/CIaOuad3O5TMHTKnekyWSKtzronxwrbSUWlF53bUbkXPOR9NsHblbrJcbNwxgmOUEYfjw51daI9DTVLY0JmLT3uyjmSx5wrC2p0TtGKbWussRY9ixW4fM7fjhrU7ZxNvk3M08Tz7YF87wXu3YFafIhJo3TEzVkyup+WIGfbaF2nGPdcyBHPw7V+Hl5pGZ9TyONE/ws6fcyO/kFO3YFF5slqI9zoZK81LTeVa+qmQ3NlHP7nD32PeMOqO++5JJq4Rp+XB8NBoA3JCdMOhk+IkkMu/jWQ+kbLdEYsYp+649vRJOXZzdryIjbsCk6ZxKjqaq8/IPjN35TYTOyEfc/2wzYlkAdO6I0gNOFp3TCUzIoMVbOoZs7KeDHTsRNhFo6ZHEgnr/kjh0Nlddjo4H61QUmLsqZsFwc1Z+hvU2lJrayHosmUqF6kgLbO8ZHJ9uQZYYVzhaXLDDTlmETwfno45UtO+XbCj0gqPY3I9g/NUYUFKW/YXF2Ukq9BPiSosWLs7PCUVm35BJz11quldx85ZtJqIJ7g5guOSO/TpDBcC892LiZqZNHEZA3WGIRlL724vTBqZudb6r9KWboXd8JhLtuwvriosrobWHzHz10w3RMRLIKoFhYtal6zPpm3y5dhwBE7TI0XXZWDX8yERVVkFg8GOSRmZzB8sNeYeNlh0zgqSEIWcI5f5iWJ+gDNJRB0OxZh1hD2j7hjypcFhZUfjjqikNR2djBzLjEktIy944aRyXEyOWXbIKGzcmfH+mBimC9Oo5aHcfIWim5oMqktPzB3BzdiKcc8aZqa5Ys2QjTGZNRXXemSrI1M2J+wvXTxClzKNEx6dWTk4JIP7DjqxcXY+6uOZFV1MBURt27J3KzfVEapLlMxx9ULiAzDcq5Oz6Stnlen4juQmUUayRlqWvEhuMQuOxptGEGDbJQYZyaokF0uCiGltMz1242Uu/f22ZLXPZdAtwTXm9JTaYLpSmSFKPIlI7zo2nLFxDdfTIxz5llUdWNaOowBHdaBPEMTTJc+MFa22NG5BL2ckcQczCFB6eUUv+yCPTYue+TeoOlJMw/1xv/hZttq25X/4H/4H/tAf+kO86U1vOtwsfLrrWRds+xbffqWU+Hf/7t/xL//lv+R7vud7Pq2NGceR97znPbz1rW89POac49WvfjXvete7Pub3vOtd7+Itb3nL0x57zWtew9vf/nbgk4up+FjrO77jO/if/+f/+dm/iAJhVO3YxTuEUNGyJMrEOrUkMlH2mY+OUQ0LATBzx+zyOYnIjjMcno4LlrokSM0qrzhpA1E97RQYSUxaUcu8CE9NJIzs76wy4PG+ofYrqnIRGWRLwPMRMU7NOl9D1LF1Fwzp0kZxauO3TtZERi7TU7RuSXAVO1lbYdnfopeeQTp27owhb+gPJ/iSkQmHkVkTVqz8LRTlmt6i0fpw136jbhmzGv2+v8YuPHqI0LKRghVRK2mpnOMsHvNINeeksfduiIrLik/+8D3e1eUEX3EVX1WipjTTpTMbs7iBFCKD6zjJ1xnVUat1bSZ3zIZ7AHgNqBTzh7ZklF4Gaq1s1DUJi8rwJ0dVwMdHuJ1rE127DucuyWnfudnnn9pde+3npDzZnX6ecxoazqMZHjayZdIdMfcHd2Ijpxzna2zchsFtqVNNlyJdgtYFGieH7x9kIEqky+elUN2iTGi+uqDl1Je7c3NDztwxj6RbpTsHC52zkYqNO8e7YI5cNUCvulRccXYx8jheMK+5NQN/ecxx7VhV8L5zR+UdU852UaencjOGEm2FYGBkTeS8RXB07ozkRs5de9i39x0sLwHUHSDBY94ypDVreYoPufJ1cdzpGmbesdOJlOAyTowyMeWKUSb2CblXsODyvoggUtsIDLGbDF3RyZqUO4K0pBJVps6wL9Nk77Hz1WF/uxGWbOPErMRt7WLknC1dmtO6wC5N7NzmMNK0YqCAisvebJfbyGa6Q+3nqM/EPNC6FbXM8GodelFho5eM0cwbqoqvazyBmc6YZKR2gmShlRqPsKwgqpDUs40Gfd3pOTmPpLQpLuYrfMl+hL4HUMc8ULkFW71n74EbSDqwS/fNCCF7TI1hQtZufTim/tXO9qOAp3LW/d3GxFp7Rjew0XukkkoAlvNp5h3D+VRhgeA4qh6zz0MnruVbZMnclQ/b9mlvzlcXmFXXOJHHyGSu5xvE0kUNeF58HA5A4kWAJzvL2N3JhiB16S7HQ/xbSuWGVBOaB4xaYcW8mRysEx21L0kYdlOei5tY1cw1u3SOkpjLiutuxo2ZY+ZtGwA+sjNziogw00W5yWgOBpnDzYUExIVDgcYDX9PfBFVR/jgF22/8lj33azazm9Qv/uIv5g//4T98wIl8uutZF2x/9+/+3Y/5+P/yv/wvvP3tb+e/+q/+q095Y+7evUtK6WNGSvyrf/WvPub3PPnkk79uBMX+sY/3nI+13vrWtz6tELy8vORFL3rRJ/9iHq6H6+F6uB6uh+vhOlASPubXPgs1bN/2bd9GjJEQAm9605u4fv36c/JznzMN2+tf/3q+7du+7bn6cb/hq2maj5tl9omWQUZzEQ9v2Lp7OB8YtWPtZsUyb2PRgCeRWOqCTKLliJ4NisE8DcbYMcrEPM9ZhZpFJYCQVBmnRH5AkyClV6D77Sh3VyYGbwuMMTPmDUEqLqcPkzXRhQsLKU6ZmDq8X6FF7NvlcyapbSQREuI823SPlHqmqqdPZ3Y3WZ5/uHvkyjZuY9maNpyy0uskSVyTJZUXaufYpcSN1tAa8wDbWHMjvpBzfxdFcUoZtwVuNBXXGmHWLbjeOpYBNhGGaILn/Z1kRqGEWu/F9fvlyp14jN2hEyjiiK5nIUc4NUDIjIaoS3ackTQi4vAEog7MWRkTSgZabdjGhMPzSGs5j6e1Y1U5pDvhXtqwloZ9SLp115yZEcTT1tdoZMHkBlqOWLia621g6pSkylaFWDocjlBwDCec+jmzXLPNcxZSs9OJXnra1HJMy5m7z0wX9LKj55IunRHcnCFePqAzdOyRAAfGGtY5W/kGQZhyonIeEkxq8V65CJdbnVvmJhvTphWt3yMtvHzZM+aWVaW8sB253dVEhfWkSHZEmcxA4Wak3JX3ZzQhtRprb0w7xrQ7gE/3DKumOjLYr3gqeYRROpMjZOOn3fe/ipeW2s14MlfM04yt27IFRtdR64wLhU62hbFXzClcjZFMu1bT+iPT/zGn0aaYCiK1hBIhFA+j4pSHq2zXciE6rjxdirTeWcRSzJy720ROCbli5zZs9Z7FW6E2Ht+nxsh+xGVjyEnPCxjapP24Y1qOcDgbA4oy5e5p2Ac0WxSeBiYZqZydJ+Y+EFXLCN0yOffdxph3VzicvB8PN+zjqUz3aL8j5wkq6NIZTgKj1GQifbw0rEmBWtduRkbZcI9dNKnAB90Fc3eCI9DuPgeHcJa3nPu7JJ0Y0oWZsVJ32C9QPUgJmnDEzB3zaH4xS2mIKJVl2XFWzEE2Cp3hpOZEXsBJPiaROa0ashqUeMrKC2aKE4OdX68TH+nM+DXIloGtSUVyhGD4HedbUupAchmjj4CzGDNJxKLDVY0Eb8ayubtGly+u9MrpvqFsNDHWI0GEo8owNkHUcDaFe+kQlszY0tsIXixn2VBBivcrvKsMI6TD4dh+cF98sOv2/C75+CPRz8L1TPjunv/26a7nrGD7+Z//eb7wC7/w0/oZN27cwHv/CSMlnrlu3br160ZQ7B977LHHnvacPQX5uV77kUrMO4ZY0bil6dL8xoSr1EQZQBuSdCzURgGNzqjdjCFvGNLaRL15JIbIKUtm3lG5g7GQUSPRmSPp4GZ8MBy9PNHEz1JAnsKQ14h3ZXxp1G/nTF+x18ModrIf05oRmOLOtBc+0U/ntl06MMUtqongZ+UCV9lIS/fJCra8s9HtIs8ZdWJWO1rvOKqFe721/xfl+fPguMkSTcpGLhAa09uI41ojPD4zR+VJA16UTRSGlOlSIorx0fbcNdWEyj53z9mIyJuwew95hfKa/ERf9WQyc51RiWeuMy5ca0wtwqEwrbRmkrEI35WL2BOKhqhywqo2yOuUPZtdfXBRAuZik4Z58wgp9az8TWa6YpKeVV6xbHwBvZbtTb5cdN1BR7eSlmXlmatjmQLeCeuxt7G2dmg6YS13zDTCJbt0n366oA77NAxKaPt4EGQb+tihGKxXROyCIULjhKwVaypmeU4Ug8M2WhNlhoqySAs6t8PjOArKjVnPY2PFMmQeX+64dt5wPloROsl0GBW11QljsrG5pSRkcGauEBErrEuRkovBQZwnSLQkDOFQMInzpDxYqoXzxHBEdD2NMwNI1J4x71j6R9lyhpIYdFsuaFcXFMEjUuN9Qyjj2EB9OJ6ypkPmas4DsTglLe/RF4evmpGmpINUzh0K3UG3Bo+VgSFviKkzEXxhtxn42Yp7u8gCmkxLlQectxEowFyX9GLpEZlYYL9mVnjQlQggepUt2zrHkDJTdoy5gLE1kV06sODsRSXENVTBRs8GVBZSGstxbm7SMW7KPuoNEJt68AatdWIqvkyiS2eHrN+Ye6awxbuKD1aNuVd9zy7dI6p9jnujgSpFi3X1STVuaVpWP+eRmSVdbMZkYpBcmf5UHK07pZUlN/M1mhBIWTmuPSKwCuZ6v95MjEm4nBxOzMm6dhsGtXFs0hFFzflbivK+JAhonrDkD0/WAVW7tI6yts/SWZpEq0uSG3F4dnpu50/MFBJlQMSKtaQwZgGnTEnLiBxaCdwr+7qTGhHBl1HzvLlO7Va09U264SN4v7SRNkIJZD4kmDzf6xNp2H5D6sfP4Pqpn/qpT+n7XvrSl/LiF7/4Ez7nWRdsz9SLgRU/f+/v/T1e+9rXPu3rf/Ev/sVn9bPruub3/J7fwzvf+c5DRZpz5p3vfCdvfvObP+b3vOpVr+Kd73wn3/iN33h47B3veAevetWrgE8upuI5X0U/YJiPniEXqrv2RDB3pw6HC03CaPqC0MoRAxtSGkmFTD/KSC0BEYMrBmfC3K3bEhkLjNTI885Vhdht4EsnFTlPBfQ62J14Hui5IGuH5kiWAcme7BZ4X5eCp+ASshaBcccYIebOAol1JE+9XeglIBjJPsnEGA0Yq+LtMig14qxDUoknabYLhheOK9gWtMiqgvUErXcsg2PcLUmaCgw3EcS0UMdVYlLhOCTOo2dMsImRS+0YnCFFJh2YDgVZ0XcUwGXwM8a4udLlqBKxz2hX3SfJkqCBpaupsqeSloHLAsktMVVqnQjEnHcbd8kyNWT1LCthUaDCq1oIneE1qrBgjHPa6ti6jfIIO3fBjXSLpWsYc2IRKk5rhy/nVy+CV4+XUvQVrdLMBWoH3jmOa4sAujMG6xzSM7odfboAB6PuSpG9ZUpy+MyCn1lCRTJ9lBkRzPGWgsUdBSlFhni8E6pUM5eKUT1b2SGIOVHVc+xbhjxQiV3wvFNmPrOqJiqfmAVzBo45kZxBRmduSV3N6fwFDiloBENiVH5mF7tyRjdsgd0IxNih3h7v/JohmcjeArA3ZO1ML6jKKBs6d04dlkxpR9KxaIsGBCmC8b22MbK3WjuxWDCAWmZkzUwyFtfwHppr3a9Rd1bk4UriRkvUkaDV4fL4TB3RpBY+P8T1AbWQNV3dNGm86oyoolLcpDkSquaqg1y69oNat9C0Vqm4pPeYjcQk9t71OePEXKnbFDkfA5djYh0nRo30au9zTN0B9Bz88iDWn0og+RR3h2NoSqaxBA7FpqriNABNcXTaeWVMW1IaUCZS6ujLDd89/bf40omKqbPPKo+HKKV9GghFwyZ4PDVHMqPxwmlthdxuElLO1NqSmPCyZMEpR2nFtbbBAVNWFpU5dY8qRXqhdYkuVawjtJNnMyVDphy6yhNOPIHmYPpJeb+/xtLtUjNoMNnNRrI0lqQjYY/XkcY+kWSGjT0IPepgHfVoqR7BwdwLUQ0L5cS8yXbj7QxE7XuaYEkmR/4W19NNvmLxCD9V/0Nad8QT659l3jzOafNSog6cdf+Ofvjw865pM6zHbw8N26cSQL9PZ/j1OLbPumD75//8n3/Mx7/4i7+Y27dvHwJVr7hgz2695S1v4Y1vfCNf9EVfxO/9vb+X7/zO72S73R5co3/sj/0xXvCCF/Ad3/EdAPzpP/2n+bIv+zL+9//9f+e1r30tP/iDP8g/+2f/7FnFVDxcD9fD9XA9XA/XZ8P6nH//cc7j59LIgsd2I231CKv6cZKOrIc5w/goMSV+/uff8/xtlBra42Ovz65R6fvf//7P2M9+1gXbP/pH/+gzsR2H9Z/9Z/8Zd+7c4X/6n/4nnnzySV75ylfy9//+3z+YBj7wgQ/g9u1d4Pf9vt/HD/zAD/DN3/zN/Pf//X/Py1/+ct7+9rcfGGzwycVUPJdrrx+zyJaJIV5S+wWjdgZdlUik5DWipIIFyJKodcY+NiTpRHANo+wMW5GU85yonGOdBnq/MzijBstpTDucNOwRUfscPeuwjUQm0EzWSD91Ni5EIUdUMiITLntDehBNi6HJQtk1kbGuxT5IGCjIg5baz1mFxwwnQATaMt5Sgrdw8v3rUpQ+Z66JYx7UgpwzXCuMrCCwDHBSB4ZhiQCTJirvCGVCNPOZ2iu7XthG43Kt/TmjbgtfrSem3rp7VFShLXf+2az2JdydAhjWrEQ6duk+ePAucA1zZLY6ZysBp/5wbsmSi9onMMhAz4Y+XydqxUmNcUaBubdR7pwTnA80swVzOeXRfJNaPBf5iJvVnKPGs4u5jIntDnvKpi/yOGq3NJaT1lS5oq4MvNoIHNewjRxyIpNObNJtptyRs43vprQt3dRYRimm/5lyxZAnpGQNqipj2tFXG87V49XTaM0s288OGqh9QHKiLztarRW1zDiuAhd9wyxY3uxF39BnR1LH/c6OtS4qHQaB9lIxY8VxPmHtTm2fIzL6jkRkyXUG2ZprUke2yTAKqFpkVBk/btLtQ+xZ5WdQOmuH7ETsxi3pREoGBe7l/KqrRSw5qe7ADTQXYqApek6DJY9EUWKJK0tcuWxTHizTtcRXtXJEz6XtO5OFWA0xM6kal6u4B6fcH7ZxiFfnNRtTpyv9A3skjXWvgpuRdDQdlOuYZGCIFw88V6xrWMCqSSdzO1KzjiO1OPqUWbPjXh+4H3u2bovDH9yfAM61iAhtdczCP4Ig9G5dsosHUizu2GTSiH1mJYeMXOuqWej5zs53aUSxWDI0kfOOJEKfE6F0s5R86NiBL/rKEedmNjXQwfRaCMG5A/zbXJ52fpnpwjqlBK7pCSdVxaqybn6lFs13WimNz2yDJ6rjfPScDcqUhXUa6ArPTqV0Nv2MipZa5kxuINdKF+8V7Mk+n5TyHohNL1SYtCNgrngnpmm2+L5kXDggMtGnzP3BcTkmau84rZ05i1Nk5YN13KmptKKWhjYsWeZjggbaXPPCRcv7dnd5XD6XX51+FspY/NH8Is79Xc7zZ66Y+ETLOmwf/2sP1ye3njMN23O53vzmN3/cEehP/MRPfNRjX/M1X8PXfM3XfNyf98nEVDyXS9gXbQnVkSnuqPzMwnvdovC7RqJGgpsziYmFRx2oaQyp4apyQQqMumWbR0b19DpREzh3Fzaa0UTtLCsy5QnnPWDFiXcVtbPMvb2uaz/OePCk/OC2Zq3KyGIsWox4GENdEbLtb+dmRsF3C4JreSS/gHvetDuVNGQMDhvc/CBqj9mwJts4EdVAlzEr2wlSI1xMynEtBAfHjTBlG9HGHAgixAy76JiysImOswEux8iFu0eXLw76QdO92KjFuYpFuGEjsKIvCn7GlC6vEA7Fmt9N961AcErMj5BVaXVG5RpCNsbbnsEWtKLSiqmEU3cMDGnGzVbpk2miWg8L73ksXQe9jvdCEOFFR54uwbWp4rgRbrXKvcFRe1hVyuUo9DkCAYdjmU8ACATm2uKdMKlSqeDLNb12wQp/Mt14xj4FQTUbWLOcGkNoTZHljfI+TpcgVyaRlHq6fMFYitojeYRZqvBiyI7KCYqjThUWbB44rux1LIaaReVZT8ITfcPt3uNR+lyzjYZsmGTCa2DhrjFPSx6pZqxyw5RNe9Sr8eoeCXPO48iZm7HhjDFsLX2AXC70HTm3dOM99iiZKliRbR3+mpwfZGVtiq5RGaYLQpih2Yw0UnRWNmqrTdPpbPQVmYhlnDhpf+ADJh3Y54mmPIGDyht0eJaXVuhow8U40euIJMNEDDISqBh1a9rEUuDEtCnb7TEjSH5Am2o5tnv0iOBIeSDLxIY7oDCmnSVkSIWTxthyOLJOTAzs5IJWlpy5yA29wTptufT3IcHWXZIkFp2eM02q84U55pmH6yw4xasnuIZJe3p3RpQN3rWkUsQeCjYA9QdphagzXS6QdSo3c5F9KkvOE94VrArZmGWuNtkBHMa/lV/Q+iN28f4hWSPmzJQTm2hcuyEruzyykBlNrgniOQkVJ42nLvdcUzKN6cyXcxlwPnme7OBOP3A+ei7dmpxGkyIQSOJo3JKGGW2e0buOxi24G+wcOcX8tNevWF6uEIhpIHtDhACH869znuAbVLN1wPJA6pV7eskqWhKMczBpRDGt6ul0gkOYuUDrb3A087Qeugi/Y6Xcmt1gEZS/9tQNnARuVf9P/vCjx3xwe8JPaM+Tm/dAujren4+ln8B08NmmYQP423/7b/OVX/mV1LXJcD70oQ/x+OOPH5pNu92O7/qu73rW3NpPqmD7iq/4Cr7lW76FL/3SL/2Ez1uv13zP93wPy+WSb/iGb3hWG/LZuqwzNZYCIuOlZVKD4kYdqFlY7AqRLKm0jjO1nxPzAOLo85r77h41Dedym1aWRB1o9YhBtqzyKUEqYuhRlNat2MNq5xwzuCMG3ZDVTiD74O2P2taiZ5uiASpznqzj8DQTgwUkI0ITjpmHR5ixwlNz6ufEfJ3GLTjOJvLOKHUOrGXLqCNTwbhupWMbLZKmS8nEwtGzjYnjOpAUjioAx5iKCDcp6wnA0ycL9r7dJ+7rhk4vGPOafTqCba5nVl0zd5h7ET2XVLRs9J7FEUkozlktmiS7aA7xguxHtlJExniCtFSleKpoiUxYxLVnKIX1JBN9UrIKu2iF8K1WeXTuaZzHC9xqM5vkeMls4Mm+ZlJworxoNuCkIYiZ3KMKkyYLuUe4xopBE5V4jmsrlGJSBpRttN8HFOeYfX6qe6jm1RnRu7rES9XUMgOZsZEaCS2qqTjxElPe0uczK05qmOucRqvyO8x1Vktg1EgjnqPaM/dwXFcc1cImwkc6z+0exhzYTDBkuMw96ozDtkxLWgkcNZ4TPEMxTwzJND43WkfTO/xww5yo4Ygxrg+vSUvUUMpb9kVOzuNBo+eksYJtrylN/cEll3JHxQIt3S5BaKqjsp87KtdS+SUtR4yyY9SuaOx69hFh0wPQ2ky0ODO/oJKGJjdUWtGIZ6MDgwyMjEQXGaUr3XUTxO+7ZuiIqkPYm2QydorO5Xi+SleYtDu4Z1OeqP2KlAYq1xbWV0LEWTc5mxlBKQYcoGXOhb9Hl8/puACFVo6IMjKTE0JVE7DPwUtFrXPmuaRkZCuIKz9jii2VnzPEPZ/zAbq+ZMCKMRU9FMt70OvBPFC6iN63Fnflaiq3OIDEAxUUh7ZI4Jo+xv3abgJrnTFpZi1bVl1FVs8uTXTSc+pPqJ1dMJeFBThmSyTJJREkA0My08UTnefDu8gdOSdrZpCtgZmlxYs5Tls5oso1C6khw0xqNu4eUgtb1RL9VMwi+xsLnYi5o+eSSTsqZkQdSnRdMC1c4fmdufvsdMZdPsDobrKIt1gFy2tIaoasF7oZWeFaK7xwllmGyDJEPtg1/M5lR+0yL3vJff7O7Rew8p/LzTDnP/qcj/BPP3CT8+EV/Hj1q0zThz/RZes5X5/QdPC8bsnzs17/+tfzxBNPHNKZXvGKV/BzP/dzfM7nfA5gtdJb3/rWz0zB9jVf8zV89Vd/NcfHx/yRP/JH+KIv+iIef/xx2rbl7OyM973vffz0T/80P/qjP8prX/ta/rf/7X97li/v4Xq4Hq6H6+F6uB6uz9aVPxsrs4+znpls8LwmHbzpTW/iDW94Az/0Qz/E3/pbf4vv/d7v5eLC9BIiwite8Qpe85rX8LM/+7N83ud93nOyYb+V14MfjY0RjXxt+rGRWDLVUh4R7xnYktRicyI93rdUMkP1zDhYacc5H6GShs10myEsmbljlnkJLrPSBY02RG9jwFO9iajQu56jvEK5xpPugyR5YGxx0MfkB7Y5kfOASHya3mz/egSKo8njpGZZPcqSU2ptmWnLvHGcjAtqd8S1WSAIh+Dt+0PNxTTSMTCJjWg20xFnY2Az2V3//dEz5UzMMBRtVhDoS4ftYhLuD9ZR2sTMekxc5I61PyemnpQngnM4EYJrUJ9ZhcdodMYNvcaGlkZrOndBkhoh4Jw5kSn8sJwnxrgm5YGL9oxGZ3g1O74lUjgaZvSyo9IGp44gNUFrJpnYTol1DPTZAqyXIfH/WMHNdsShfM4Lzrh/b85qObC4e4RzShcDjy039NmjCvfHYFwsLAy6lYrjqmYbE4133Gg9Z0NmVIWUuds7tjEx5ohzBQECNuLOkzkNRRA1h2xwcxubEQjS0FbHNH5VciETY7KEiTFtyDmyc3fYhFOizqlKl806uYGclJl3zANUzvhzcw93B9hFeGLXcz4E+pRYBtP7VWqB2o+1c6acaT0cVw8CNG18YqR3x5gqLuKCmTtmDJvizDPnsnHBEkW4xph21ikkGCvLVeTMgYclpRNHQSk4V9kYkcDCX2fhb5BJzDjGUzPTGQ7HoGsShnZAMyqJqaSB7I8V7yx/1knA4zgu3LFeOot5ko5Je2Lur7AXUDiBhuwQEioCuo9QE1Td1XFaTvz9aCkCe9yJjf69pWbIHIKNHqXwvlQtHkp9ImvkLLQliWBgyh1tOKHRx4gycJKuE/Asfc02TQRxTCU0PpNLX9k6Q1VYUPmZdT7ZMxjLp7jX8eYIhdGoOloH7pldexFqPye4OXN3wpwTEOtc1trab1TTxF0Lc2axZeu2LPKCjLJ2Zzw1NYw6Yyc9WRKz4LneCn2EWbDOWhchFx1sUlhHz2aCywnuD4kn8xmXcsecxIRDrBcAzjHLyzIW9gT1HFcVR/ERJrdCG2XTT+Tclc+qOIM1knNkk26T8kgbTskaqb1hUoK0iJoz+lKfIkjLbryLrwO7dIOjyltKBspJDdcamLLwaBN55c27hDrRrhKnv3bC6XKHqjD7/Y/y+T/d8MpT5d7oOP6ihkeemnjtC4Rf/MDn8v7d89xh+4Tg3Ifrk12ftIataRre8IY38IY3vAGAi4sLuq7j+vXrVFX1GdvA3/rL2uIpDTjnDTUR3AGAagJ5Y2EhNUnjASQZvZ3QYzKUhncNY1ybtdzfNFCkzpn5wEoqYrqBV8+NYKOL81ix8g1e4J62eDFtzhhNS6L69HDgvVCbfe7cM9w7gsdJi4hnXl9nJY+YsBcTvDsRbrQ1R7XwaAPLkAnOQJSz4Gn6lif6zA7LUb1MPU91My7YUWvF3d5GPpuYmeMIosyCEsSwFdsId6eEjnAvbbjvnkS8Z9IeT7DLhVjuaO0MRHs92ftUe49Pc4K7iq4KYVYgl1pGgQo6kvKWrBOX+QmW/lF89tRa48SAupXWFs8lGaeOeZ6Tyezchk2K3O0NgbEKcFJHXnbtnOMXjaZxetWLWfzqXfJF4sVyQdUmNhcN88XI6W7GNgZ2ScoAzDHIaOiC2rAIM++4VsP9voirVbk3DfRypVGLBZqp5cKoBTqLWMHmxOMlIOJx6jmpX8Iqn6IokxvY+HvE/diRyBAv2YR7jK5nkY9JeUZS25ZaPW1wVMVksaysSO9TZhczT4kVFgg8Hm+VOKuGo1Dx+Fy4Nxj65aTKtD4zZkfrctkPPMsgNN4RYqDliFwrY94WsOvS9FFljGvHihVsriBcnLQFZVaTUoEolxGc5kTwhlkIruVmfiEzqdjowKmf4wXOo72vIo6YTXJAyaaNqStolBHBUbkFFS1eAxORWZixmSJRDHDd5XPD4uTBRqK6BxbL1XjQDsQyTnz6utJHOaZ0iQWQG5NQEGq/PIzwAAa1CDnNySQZzsawmhOX+uGDFi/GHgKs8opeKh4JxjRrPJwNwc4fQ2SbJiZiYR1a7FIbTg+fAc9gLyJi48/DuHo63Cg+gLFGMEhxcHMqaTjRR7kuK/N+IDReCN6gKQml9Y5FWLCN9tl2KTLmDXfchxnSDUYZbRzthRs13AOaIoUbMvi855wZf+1iULYx86vpDpfylOWfasK5FcdykzrX9jNpmJdc3IwSxLMIjmvTCUkz4hxT2DJEe8bh9QJKpJvu2yt2ARHH3J3iypg7MrDTc7rpvo2a044hb9jRAw1zb3nJjzbKy4+2xOw4bQdu/MHG7pSampct75AH2N6pIHj+37/zPi98jedfvL1C6kDtEr/79cIr/j8v4zfCevDxNWyfXS7Rz+T6lE0Hx8fHHB8fP5fb8lm7lETWEdGWmDt8ruwiUjQxqbCMBIeXwBGPMNDRuOUh7zJrR8rtQTOzyMe03jOLLUGE49oz9UtqLxzVVjAMu0xTFOkSpfz8qpxE91mjD5gkwB6TYCHBpSuz1/2IawhhhiNwEl7EKh1b0SlGwk9ZeXTuOK3hhfORa/VIcJk7fYujwiOsp5ptrkjiWLsNeVTW/pxZXpKjcuJnbKZU3hth5jNBlZzN3bWOI1vZcU8+yHp8knm4RnCtdY20I0hD7Zas8ilZEjf8nJPGOFPOB0pOOQBNOGbEilcRsY5FSgcW12a6g5caHKzyCVmVgGUfOvwhh3DlWibN9PRstedu77nRBmZBWNUT1/9Ajbz0hfbu/vtfgLz0Hv7n3sdyOsed1NR3eqYLWDUT61ixnoxz2UpgYKT2nsbDIjhmXliG0g9VJWrmKf+RgwNZVJhSZ52kcnHcXxBNI9cYK+wBPdQL8os4CpUFkWflfjzi0p3T+fuMMZPySJfOiM6Kzl1ale/0tM4xDxaa3kVLquii6Q3PYsdanmIX7xH8jBOus5KWxgdO28AjTWbIjpisuD+uYinSEpXLXGxm1tXF3KlzlhzrKRfujMEZ7HadnjQXdO6LQabAXgt/UMTjaAGxNAPx7LVgKU80VbACXxZcr2bcaD33h8CjMysku8tIVOtEDoXVB1Y8GVurMb0YjtYd4dUKxd71eDmi1wiScTimvCUmA9JeOSAfKMwK88wu8u6Br+XD43YjpaiC81aYhTAzB3E4PhRh9vPcwRWrTHYeyRHFPlNf3NvOWZG3oKbWwHET+F2rTFS7aRCB7eS4SGYYGehIEhECM2nZpKeMNVayf/ddM3BojojbF9T56lyy38TyLyHYTZS0LHXOjdb0jDNvNwDtYXc1veZpLXQp0EUlD0rO2dzCfqCVI+uMCixC5ny01zBlc15vJqicsJ7gfp+4iBNb7bnNv+GQjCJ2rjzOR6ZDzAFhwUwqBk2MOVGJGXCu1zUpK3V8lG11j8zeqOXKxMJeo5lKAkPcMKtOmevqAOAe2E9dhoNDOOvEzu9QPWZeOYLAjWbiJTfPEQcuKPz7X4jOWoiRat6Q//WTuPsZ/fAZj//l15CBV3zw/yL+GjT+iPzl/y8+96/8c37kLs/r+u3oEv0H/+AfHGqkPU/2F3/xFwE4Pz//lH7mb0qX6GfLOhRBquxdX1mTnVSLqyoWPIHgUMlUMmeW5gyus0SEApjMBxfaEd63zNUuZo14MtiFvPKsKocTw0k8hRU5U1YmetI+Nmof+v1Ad+1K/OsMMLt3DQqgVtJVfnEQrF9Pj9BKYFuKP1WYcua4dixC5lo9cn25w7lMHz1TLUQNnA6BdTdjZOLC3WPnzpmyjbYmGTiVGetoES3bGGjEMWY7SfdJ2ciW+3yI9fQkU9wR/YKWY2rmqIsEaVnlU67LEQ7htAmc1HYX7USI+eoCuXQ3WPtYcAwV/XRuaILcoySmeE7nrXvWypwdlHGQK25Mex8XwbONVlT0rucye07yktbDLETklS8nP5CyodevIzdOCEOEoznSbhju7ahcYhedIToCzEOgn2pm3j7TxgtVcbnlcprrdWKT7jKlDc4FZv6UlIeDu3BvELEYn1Uh8F+9B47AC2YNi0qoxE6q82HJk71nWz3KVhxj3DCm7cElfMl1FsyIpcvWeBjVRtfBWVRYlxIX7ow+XdBN96l1xVRNrMKc4K37eFxl7o2Oswitz7Q+0iWPE6XxiV0UM5eoGT8aKm60Nb53DLKylAVvBdre2Zyy4UsM3BoRKpwL5GyGCutd2v68h9+KBBPVB8f1BrJ6bjQ2ym98YBtHKtpD19n294zmBL5gQaRmpiu8eiaZGKVjTJmddAdHcUyDoUXy1djMfn996OKhDyBNS7TUHmi8f1zL94DgnKcpo7VGlma+0R37pI8p9+ScDiYjKaYDxRsiJszwrqKRBbXz1HhqB4/PBs7GiovgUCB4oY89vWytcC0bU0lLTFdFiaUr7KOjKO/Z1bnGuTk579h31q6KOwP57gu4ZWXF2klt78fcZ7IKQZQP7DzXG2XMwr1BuBgFLzXbdNscpr4maDhopiJWA0/lXLhJmUXwTFl5ctpy4e4zyIa+v484z7K6hZKpZcHS1ywqRxqUuqSYTDEzMFGXTuaqciSFyjuOx8eYwkDMO4sIewDVYq57JdHji3uwVTN2jMVprvvOHJYoMYQtU1ZmweLeFiEyfylI7ckXkfzYLagq2O7gpYJ86D4iA9OH+8PFPfxHn8/dt/0yy9Z+7u9YDPxGrM/WwuzjrWcCdJ+Zs/6psGofFmwP18P1cD1cD9fD9XB9xtZvN5dozh8taXgulvv1n/JwfVqr3FkapHbPbzLMB0DWWDAM9gEHrUgkVEzfFh+4Eweo/JxKZgQ8kypeHKlQI2fBHSzr3sGgFjdzL23Y5ntMaWOxNWUc+uAd+4OATidViXIKOJkZrNLPaetrBDendSuOfEsQf+jWJDUiVRALUA4u41xGVcgIrcvMvHKtEY58S6sNSSe2+R6j7uhY07E2XZYMbFLkbICzSTgb4d4Al1Ni487ZxrtMcVu2PVMzZ6ErVnKTGcc8Isec1BXXmsBRZWLjhN1dD9lC2oNrOdFHqZxxnWb+lMovDtw2kYDmSDee0ccztnLJRi545jIumcMhNNqQiUSJBmQQe4fz9WtQV/Znv9oWjhewmiNHM4ZdIKnjPHpigYCuKsfKN6wqO0yDswN2Ha1zGjXTuR1jWtNPF/TTOWPuSNliccQFnG8RqXFS0YRje10HAXui1prTWrjRwPVGudkqj80cJ6HhEV7CsnqUtjo+iNaHeMGFu8ekkTElVG3A2EU4H5J9Vn1kkwd2nDGl7hDRFmWi8o7GGWcviB66egBDDoxZuJwC68kigtaTjX5bFzgJFbda27YbbsWNumXGMTN/3UTzYWWatRJQnvNwOOb2f+/3eHsPcjkObWQZS3fLydVnF/bIiZIj6glmOvgYmYxBA5VWBtjVgXWK7NyaXjeMUjrcB0NIPnTBHtSm8Yy7btOZpqJgf0D55RrbHmdj7j3EN+vImNdM2llHL+3fA/s5Wv44MVRG41Y0fh8gD7XIoTOVi86rL2ldG3dOx5pROyYd7DxGPHTuARCL2HMlKN7G8aX7JoHKLw7nFnGmo/TODBO5dOsHnVCgdnAcEkufOQqZkyqxqpKNOn1m7jPVnkEohjLJOZIYcQhdzFxMjl00U8F2UsaUOY8D25i4M/bcdh/gPH+YTbxdNIXKzB3TyopaZ1ROWAZH6wKz4KidGSSiRLxY+m7tYVHBcSUc5yNO3OPMg+2TVViYjMRZWL2NtS2Q3tBAZuTIctXtNTNMMOC19iVKzHSeThR3fY67MbcDr3C9ZLuBmNGY0Cw8kMpHftGL6IeKeemszcPzy2AD23/ix/nz6RRs/+v/+r8e0oz2q+97vuEbvoHr16+zXC756q/+6o/KG//ABz7Aa1/7WubzOY8++ih/5s/8GWKM/GZfDztsz9cq4w0Rb1wiEuJnhxP4foSVJLJ252QSY96Ss+lZrIioqfwSLzWDTuSkNOKJKH2qECxrdD1lnDgusQvFTs7phrMDB+lprKTD2lPeofhB8a7GuwYlE6Rh6W4QmZhzTOWEISmxjFgSigO6JARx7GKg6lpiEs7HisblUoTAce3pexuJxNThXGDMW7xUbPPE6EYuNfNk55my6VTWMbLLIx33japOpAornFS0OmeuLQtmJM08uqjwYmPFWbALzpQzk2aiJmq3wKlnyZxGljgXbGQVroK3U7bxWsobxuTp0n0Qx4zlA++Ys3xRVUZN1NhJudZ9NqDQxYBcXNoYa71G96PRXC7CKcOmZ71r2I0Vl5PgxM7Fq1rI6llVV0XNpBS2WabXibXcLyL2Ds01SXtEbH8JLNkHqld+TisrE4gXlp6TwDzPDNYbMjELtbfC4cngeYwjSC/iopqzlifIGplyR5cv6OQEFKrk6bNjO2UuppExB85Tx6U7p08XT9NURRIpK7kkW/TJxOcpG1m+S4H15Bmy0Dhjt22notn0npPGc1JDGyx5NzhYTEd4qal8S8d9og5ozIX1lYtT9sqUcEgQYG9S6Ii+p/cbLsZr3O1rtlG5nIQ+2zg2lYtpoBTy2pVR3z5IPRxGeR5vkF2FSzb0emkidolFU7dXjJrJpyiXrowGH3VcPvNO/WrUrUwGxsUC4QfZkPLIlPviLtWrYo0ynlRAvDHPXMPMnZgrNtuIG8z088Fdw6jC/cH0iF3KbNO9skXxMBomYwVssclYTn3GSVU4kuastuSIGd41piss5iVVgx0b4NdYcVu35WxYsghyePVRhWWI9MnEbCL2WMRuxFqW5vZ1ZsRIZLYxcbt3nA+JqGZ92KXIpVsjUbjjn2I9PsmUdojzh0SWo3yNXnoatdzRNphbPbj92PdqTUmL9AJG4DjU1OlR7jNj48+L839iiBfFsWxpIpGJng0DR4zSM+oWJRVuHnixc0jSkS4VHaVT+lgyb4dE2ir+7h1wHvmVX4WYSHdHxrFmeXJ13Lknn+TaozvTvAFn4/NvEvxMgHN/9md/lr/yV/4K/96/9+897fFv+qZv4kd+5Ef4oR/6IY6Pj3nzm9/MV33VV/GP//E/BiClxGtf+1pu3brFz/zMz/DEE0/wx/7YH6OqKr7927/9U9uYB9bLXvayT2nc+RnJEn3jG9/Im970Jv7gH/yDz3qDfjuuvY7N7N0jIrOipzEdjIh/2vOHvCbpSO0WxLwzTAMe1aq4+yocwoW7T8MMzUsiifMhFC1VYpsiXQrclycY8iVj3BTK+/7IcEB6hgc0P7Ct5QLlZgRvgNmFu86JPsrGXbBMR2SnDAcR9JXL7Wy0g/OJruFiqohZuDMGrleRvuBMlkG4i5Hb94qdVICkF86irdZuTdRI352w056Nu8Q5Z0kNqjhpaPyKWubUWjP3FU05od5oLdqpKkiRs9HE+TvtqQgs8zGtNsx8YKbH1LnG4VCnbHE4VzPFLUPM5NyRck8XzxFxjJWdyJNEKm1xInTJiqe5VMx0VrqPpum61zfIL/xr5HiBfvgM/vAxMgxwvkbvXCJHI8O/XnPR3+ByqthFE1gHB3MHAcNbrKeruKp7Q6RLkbW7YJfvP1CIm97Je4PjhnAdJRFTRxNM5zewxUuwgHKtWfmGVDp6XRaCExqneBFuzgJ0RyzijNu+Yp2fMhyFTvRuR5ZETspiXLCNiQt3yYXCxp3R6/qAB7GbDdP8rWMkq0dxnDXeMAsKF5NnXfR7F5N1tnYx0+dsxobasQwGGQ4i1N6MDo3WOHVUUjG5nsrNIMA4jbZP54j6qbw3CoxXGk4RYu4PBP6n3JK8PWHUTNaWKSu7FBlkIGGB8SKuaFFNTA/YcelbokQabQ43Zhs5Z0wdY9yQ3FAKSD6qM3foAu6xI3vczjNP+qVjRSn6LHJuYkx2zrDPZiSmXemSFzesKgcTg8gVysRVBG2AjFdPn207+iT8y8uG1sPtbmKbRxKZIV7gS1C5kfknsrtCBTmpUVLBkNg5xbR2dhMQXFteRm1GCantXBdWOEI5ByidrHmyP2JVzVmEgEPpEsxc4mLypFLsX0zCdoI+R1paWn9kqQRSMTBwkQTdwjaPDDLSaE0vAzvOmVzPefwgQ1yTdaJxx1RhQetWLHVuqSZly59ZUOxNMGAmnazwaCuog5MmcKye0HtCDog3Y9nEFqFCiiM9pZ5e1ly6cwa29NkMLbVfIQiVX5JK6H2vE1Nq2CVHLZ58b0feZbZ3Kpp/9X70fMf47zbEHcTe0Q8V4aUN6W/+MO6PvIr8k/+C+ZecMvyL+7h/+h7+1eVvDNUhfQLTwTRNXF5ePu3xpmlomuZjfs9ms+Frv/Zr+at/9a/ybd/2bYfHLy4u+Gt/7a/xAz/wA/yH/+F/CMDf+Bt/g8/7vM/jn/yTf8KXfumX8g//4T/kfe97Hz/2Yz/GzZs3eeUrX8mf//N/nv/2v/1v+ZZv+ZZDOsGnuv7m3/ybn9L3vfSlL/11n/OsC7aLiwte/epX85KXvIQ//sf/OG984xt5wQte8Kls38P1cD1cD9fD9XA9XJ/lS/nE4Nwf/uEf5r/8L//Lpz325/7cn+NbvuVbPubzv+EbvoHXvva1vPrVr35awfae97yHaZp49atffXjscz/3c3nxi1/Mu971Lr70S7+Ud73rXXzBF3zBIZ8c4DWveQ1f//Vfzy/90i/xhV/4hZ/Sa9yvL/uyL/u0vv8TrWddsL397W/nzp07fP/3fz/f933fx5/7c3+OV7/61bzpTW/iP/lP/pOHTLaPsaz7ZGHAWiJjTNOWEamKdiIXzcLWWG2VQ8SZ5gMLolY1rQ3AOj9F5+bgrDf2VErc0BVP5jMmGUg5sp2eKneQwwNdGBu/Hu7y97ePh9vIXKzogcrPEPE0bsn1/BgraSHDQlqGbB2r5BJejWEmItzvM1kdXTS4pGD6kTwLjNnipJzj0JnzRS82xS1OIpfuDq0s6fI5W73Hzp0QZWDMHbVb4MWicIJvaP0pgQqvjsYLi2B/r4JleUa1zMC7fSSrjW9rrThmzqLsp6tpRU0gkQnpOtkbNHUnZyiZKVps0JQs+29XnTOTBUknvFqHZRsneulpqThixrXG03ihi3C7rzj/v+/Qri546sMrXtL8EzQreTMy/NpIdb3ng//2mPOp4s4QUGARrDs4D0pduoZOLDj9cko8qfcRcWy4xxivws0t8DtQ+wWtO+ZUHqeXHaPb0nJEoGYSC9dudEalDcvaHK67JNwfbczbONsXjmpjRi1GTzu8gPf7WH5XIMpIZGRwHXUfGIls3BmDbpnytmjXpjJqWuKlIkviPG+Z4owQheO6YRdt7HhncJyPNo47G8bCFSsdLGfvSe3LGLXsq1O2HFMUKg1sXFvC14Plo1LUatm4dPtM0YOeTR05d4xF25mDsnXHIHAxnVoUlSR6rOsbpCUxHo6ffQSacwaRjYxMUh+65qN2xLwj5q7gGgqwt8gS9s7sw2hUFT5qkuIOTDZhPw70BUIbiWlXcjkzkQ5fopiMI9YiJJBynimRUt61duxJy35cmiSxpWOSkUjibue5rsc8JXfp3QYRTxw79vnGMZs+LvsE4shpwvuGlGwcmx/Qte1RGeL8YVxaOQM4K4kgFqbeZdMIJh14wn2Ak+53AoHgbOA8D4Hbg2NUOJ8cd3u4GBMDEwtpOZEXkIh4anrZMsnAmguinxh1SyNLJnr6fMFGb9NN9w0ujGNWXaOWGUc8wswFyJbfmVXZRRugx2ROc0FoqFCFMWWsx2iw6+uNIUNEKtJujiRh4y7Z+rsFp+LL+Nfi3y6dda2ntLGJgVuYHtYdkZgBjkhkzMrd3pHqwPrfODabGfe7lvm7bnN+e8Z5d8pZX/PovIjXFi3/3//rhK/6pXdztlnyu976UtI/PeOJH7zPz5/Pn7mTfcaXmQ4+/tde97rX8X3f931Pe/zjddd+8Ad/kPe+97387M/+7Ed97cknn6Sua05OTp72+M2bN3nyyScPz3mwWNt/ff+138zrU9KwPfLII7zlLW/hLW95C+9973v5G3/jb/B1X/d1LJdL3vCGN/Bf/9f/NS9/+cuf6239rb1US25lBKkeEH7vBcxCzLtCajezQe1WqDPkRyUNo3aIOBPrx7uG2Ah2hr+URMyP85T+W1AY4gUxd2QdyHnCuQYnruAOrgTMyt7mf3Wt0MKFo+jqKplz6hbUTkhpbhq1PLJzJcBYxAoiVdZxYszhMPTx7McGxvmaSgJABrzahU4kMLImK/TpDO8DQ7xgTBsGd1F+h8eJZ+lvULsZrRyVcY6xnCpnTKRr5RjPanq+Lir3dcOclkYbGvGsqopV5dlOmSPXmh4mGwh0zCcGyfUeKpj8jG48I2sJeM8XdO4asYwromYGRgbpyHnJtabhRmvC7SHDvVH45x+6ycwl/s22Qf7hfdpmoq4zH7l3jWt3O37p3LAMd3oLcp/5MnYRpfLKxeTICruYuJvXnPERardkSJsCLQ2I1HhXE5wxuVbyCI/JdTZpRSThceykw0ug1pm9F1ozC4bOuDcIt3e2r53WVkTUzrJQZ16Yh4rL9U1aZxc9FAY2jCi3nV1oe13Tx3OmZNpL7xscgVl1Ylm5JC7cPQY1HeBse+NgBfjwTlhPkYvUc+HOcARupGscBbswVoVMv41WqBFhyPmwzwZ8KUJqbGroi87LjBHOeTTrFUZCrZBRNXyC4OjjGQMXiDgu+JClQlCVIsCo90nL8aKK9/tsVcNiZEn09Oz5inYcDwf2mQn+x6tzwjMNBof/f3Ck6MqhmkH8gRFoiqlMTju06MJyHnAu4F1NzqaHAsjZxrjemaDdl8cdQs8GJ4Z6mWQg6UCfN0xpw3l1kyFfmuZPnOkhy41mSgNZR7yWNInCLYvsyu/sSgFaTA6uNk2dTjZCdg21W1BJS9bIjBXqEg0LdlywS7d5Um/SbeYEZ3rXmQ881dm71EXhbh/ZpYkkiaUP+PQIGx2oCDzpP0yna/p8gWAFZCcXKGrjyOkCZTI2oW85kcfIZE712AwxCBN2M7EeE1POZBGCCME5Ava5jNkod0M2fu1JpVROidmxmQIS50SNVDLDh5akPU4qprRjSh1T6nASSDrSyilzTnAuWNIDEBkNFZOV270SVfiXT1znIgY20TH8iucjXc2kwlO98PnqOKkm4i/d4ccuEuOvvJTTGn7X+QUf+cgR/+zeMb/CT/O8L/0EBZtCVVUcHR39uj/mgx/8IH/6T/9p3vGOd9C27XO8kb/516dlOnjiiSd4xzvewTve8Q689/zH//F/zC/8wi/wile8gr/wF/4C3/RN3/RcbednycrFEcZBBH04AWo+8JIs0HnkJLwI0SuXmogxlqL2THFLxATmgmNMW2Lo2Y23EeeZ4pbgWpw0iKsIwYKVow7E2KFerPNQDiK727eLnmq0WJjCiguuonJiIEsNpgeTjlF21NqSMfL7mBJb7dkkpZNt4U/ZxWHcXmPpA5MaqTyr4qU24C2BHY5MZExbnNRMaUdMm5Lw0DKrT/EEHk2Pkcg0UhEf0NDt19ybYHxIcDmaEH4raxbMOJLWXF+VNzNCsn8nVaIItXP044KZD5CuE1zFEOyOdTvYndcQL+nqC3PIucSgI1EiUUZGIqtqxspu0BkHY5L94kVACXxgMzHma1yrM9frxIf7itNdy6/tHMeVabceaaFy1nEZs7HR1tGKz12K3JMP08WzA2w5SIMU51rlZtQyw0vDSTrl5jIwGx3OQR8zY5xodc4sz5lLxTwEaoGLqDwZlTujacC89YOJCjerVLqsws1hTp9aNsk0QYNsUI2s9SmCmzPlrem1iujdyxLvKlbuJkkiQWt2XBALE/DDySDENRUXUdlJx4V7qhhQapa65JrUjCkzqWM3wXpS+pyZ8v5GQEnF5elKZFLSEScVWYqIcZ8aIIJIjYg56fbLu9qCxjUfwKUxbXDSGpUeRx2Wh9do2lMp6RGOWuZUtObqlgGHZ9TugeN7H3oeD0w1VA8F2xVE9mrtdaFXIeKKODm4RrUYFZSIUG5cys9rwhFDvLR4Ns0478macMXw5AojLRHZ5Ls0sqAjMxYtXzeekXLPlHYHvZvmTBOWDNPloUspIlbI4XClq6jFaal5KgaN8ioKyBjA+7pEW7Us9IiBjkDFkhs02jDI1uKz5CnWYq8taEW1fox1nErySabTkVFGggba4DmqPXQw856nVOjzBd14F+cqY+aB3YSWiEARTx2WzMI1TvM1OulZ+qdfEqec6JKlUUwKlTga5whOShxcIohBeK81cFQlvEBXCavK4xA2Y8PMX7N9k0ilDff5AGNcM8XtoStaSUOtLRUNrba0UjFqZFYMCJvJrF3/4qKhi3ZD+ETXspnsPb43TCxCResrup/13J3+b/7xOvA5/jE2/78P8TN3XsgvnkfW3Qd5vtcn6rA9m/We97yH27dv87t/9+8+PJZS4qd+6qf4ru/6Lv7BP/gHjOPI+fn507psTz31FLdu3QLg1q1bvPvd737az927SPfP+c26njXWY5om/s7f+Tu87nWv4yUveQk/9EM/xDd+4zfykY98hO/7vu/jx37sx/jbf/tv863f+q2fie19uB6uh+vhergerofrt9jK+rH/PJs67su//Mv5hV/4BX7u537u8OeLvuiL+Nqv/drDv6uq4p3vfOfhe375l3+ZD3zgA7zqVa8C4FWvehW/8Au/wO3btw/Pecc73sHR0RGveMUrnquX+xlZz7rD9thjj5Fz5vWvfz3vfve7eeUrX/lRz/kP/oP/4KNmyA8XB+u+lk5bztNh7Gj/bfo2KSHOs7zEY6wzRRmcscHGuDlE8PTTPmZnJOXBRlHiqMOKys/w0trdMJ7WLenzhp1aLsmkEZWIqD7ARQpltNIQ83BAF9j4yeJRdinRO7sLNg5bRFF6jYxuYM19dvl+6Y7VOKkZ/JaTdINEYpUWphnD08oSUSH4hjHZezKmtQVk5wkYDN3hjqlkxrXQMg/GzNpO9r70OTGlTPSeMQt3eiVmuJhGztgQZaTCcVRbfmvrTBNWO9PzTUkJTmmccJQrmuCAGW2umXJEgtBP5wDE1NPlC+sGSkd2dscMkEjUHrxTaqASoUvGJ7s/9dz2T7C59xiP1jOutRXnY2YeLDYLPF3MVOJIKnhR1lEIAvd7ZciZrY7s8n3Goqebh+sEaVGN1G5B446omSFqrLLjGmrvqMXGrU2sqXPFwll6wlFjKRlTztwbB87cOc3gqb3R17dRqL0yy4p6uDX39NFzPjq2sWLDkkE2FlvFxJi2RS85Ap7KW+7iUo8JOdC5HTtM2zXEC1KING5Jw6LoxBLb6Q6KElzDzu/IuuAyTixGTx8z6zgRtaRWaCaSjHun+cAiS0ScqyA9yDXzOGfxXAAqV9iDWV3eRzIxd/TxshxTW1LmoEnzrikd4GAoj+JyrsTG0JP21sXC9Ele2sJsi4Xrl0p37Jm5oQ/o2MhXTtH8dE3bXsqwlzE8k51ogAlH7VdMhd8YfNk3C9olFkCXFhTIGDfkMBLzwBS3plVLG2ON5R2tv05wpnmq3ewQrSV4nKsPXT3vmsJjS4cpAuKLtrLBiSfm3r6PUDpzQqVlhK2ORekqXUhF7RYMuj0EpntX2+crFuE3uYFKGxyOmZ7gxTA4F6Onco46tjaFSBsk73V9o3VYcTip8a5iFq5xk5ex9DU5ZSrn6FImljJi0MTGbVjmJYmMamDh7XeA6ecqGi6nzKpyeDEnc+2Uo8rG74upRtNNqnK59eLYuQuS9Aw6QTYtr5eGkC1rt3aeoyowpEAbyjk4ZTZT4v0x06fEoInI1ZRh67bMLx/lbBr5F6Giny74UP45umbN9//85/Gui7vc44Pk4t5+Ppd12D59cO5qteLzP//zn/bYYrHg+vXrh8ff9KY38Za3vIVr165xdHTEn/pTf4pXvepVfOmXfikAf+gP/SFe8YpX8HVf93X8hb/wF3jyySf55m/+Zr7hG77h4+rmfrOsZ12w/aW/9Jf4mq/5mk84Pz45OeH973//p7Vhn23r6RoxEx+nbG15ESHnCIiNC8S0SCqZKhsuYCj6kjFviwDeLgRTXJeTpiemjiqsaKsTjvwtFGWhR4g61nKPI73Bxp8XXEhNTBtgAgHn5wcUgHctwc0O0Usqyjr1TFrTiGcnPSOdaUMkYdQjZZCegY5dvk83nRHTDik8t8lvmCqLpBnlOsu8xKknULAC0gJbsqargvTA8BJm7oSgDTPveHwuXI6GdXAixMHwD1Vy3B+FJ7uBxgcu6ehlR9CayjlWlY1Kwa6FTkwzJl4Og9XjppxUERbqmXKFmx7novoQAP10foiB6nWDJ9Ayx2tAxSz+XRQLrXf2ey7jxEfc+9nGu1zyEe6mF3F6eYNBBuq+ZuVatpMBkKPucXjC2WBjhNvDwKiRndsxjZ0V95pYch3E0ckFC05Z5AWTTESZWFYWMVQ709ZsorDwFa1zBC9UIocxbMrKmbtPz4b71MwG2yfXk42NwZhXjzbKWAlB7IK17q9x39uYb4pbYuwPAnjTTNqFMmjg2LeklAiuItIz5Z44DUTf0ckFQzSt4pR2eF+jKdOHDZt4yj13D9ffsPdALMYsaCBLJhUV3OhG8l5ugBpPT+SAmBAxWLIvOIv98q7hEfc7yERqben9jjOxkdE4naF5QCUSZccQK6a4w/uGyrWHEVeNxZdlIkGX7Ngypi2133Pf9MBZfNrFqYB6ZW/4kadVZ+Uf+eo4OLDk9ucSd/i5zlWAHb9B7ByyF/h7AjgsFN7be6yamXRkSpclLm8gp/6Q9encCu8b2nDCzJ3gCTj1jKGjj2c2CvZzY61hheE07g7bLK7BuxlKPnDWyDtEDE9k7Db7X9CKKBMNFY3z1NqCv86oHdt02wxJLjCljiosys1tZFXdopaF7Tf56l3pczbtYR4M6yJ69f45QGqWzS1SHlnJIzzqDBq8Zyr2OVohBQzSs+GMmoYsGaeCEzmMpkYZCW7GdspsJ8fl5Gi9jeBXlZkVjqqKIyp8MRBNObOMp4x+i8hd+0TFEbSyAtQHaudYVY5ZcCyCaX9jUjYxcq4DG7dhcFu26R61m5WtcfzqFHj/z93mw+5XuN39Cv34FDdW91jj+UX9KVIeONv80jP3xM/40k+gYXuuN+Uv/aW/hHOOr/7qr2YYBl7zmtfwPd/zPYeve+/54R/+Yb7+67+eV73qVSwWC974xjf+lpgKPuuC7eu+7us+E9vx22rthcNZexwtqlLEwLVpksQRpGUrlzjxjDLScUGXLw4aIVQPXCnUOFBKpq1OeNT9Th7T62zywHFoccCHcmalC1x27PwZQVo6d/dwN1yHFU7MiToLJ3ip6dIZTixQ/MLdZ0fLIi/YujWJkVoWh67GJBO9WGKB6c925NIJStk0eVkTlZ/hvNCKZTMGPAMjlTR0UNyyY9HR7e/ejRdVa00GlkEZklA5ofXCNnq2caJ2jg9tlafkPsfxiM5ZN6HVObUItTddWFRwRdaUsYIG7KS4qozaH4IUM4Vd6J5KLyxdiYmsCU/NkC9N5M5NPDVePUOyIigjJDWwZq+jZTymLVM0PtlFODJ6vsBL8ufRxUBU5XIyBlvMcLs33toduUsvG0LpVOx1Rcf5hFoCdwQel+ssGs/lFLnIO1pvr7NxewMDLCvPSe0Oo4jWw/1BGbOy4cz0Nu6c8zinEY8D7gyB1ivbCI/PMjMVuuSIKlwLcy6zmR2m6ZysI2jCfHRFkI+QSIfEgIqWCftcUhrp9RLVaPt0WU4rkg4Mec09LjnPHyZ6u4COusVLw0wNApyItLqgl83BgR20IomBpp2zGyTBU/k53re0bnW40B/n69x0K87jwMo39HlJ9COCJ6WBVPRiuXSgsvaQoHKtdYnUOkZRBlLRh43Zck0jRcNVwuH117sy7bttBkEoD+UHvmzHxL7AszD7uvxbcJipIKoBoGMaaEJr3fNyqhe8dcY1PeAwvTRdXtGvOjenqY5owwlLd4N5Xh1yco+8ueli3tH4Y7Let8+sFGJZakSUpr6Gl5qYBxbhBkNaIwScq/C+tZmBJkYZy3Gt5edmWuZU2uAlcIkZo2KaiGlTik3TVVbeoNejTGwm28f6lNjqSHRT0Q8mRK9c6apK8DVH4XF26R7LfMRp67k32HlsW3S4oxto88ySKvKaSa6jknHlBiDtt1ciToRdipxPjjuD47i2m7/aKXMv3Ji5QyJDAs4Hx2o8pnNrNtIUvefVTUQlQlMyelfOTEh2fvJ0KTMy0nPJJt5mN94jlHN/E465IyO/FH+Gy92/oaqug2bOtr/Cz8i/JeUOeDr38/lc6eMQcj/deu0nfuInnvbfbdvy3d/93Xz3d3/3x/2el7zkJfzoj/7op/mbn//1MOng+Vzl7hVSGYMkVGzUKPhCAb9yiG3SbdQlIgN9uqCPl0b5z8PVyV8VnKcOK5TM0t3gJe4Gp23A98KjrTk2723m1M6Tc8vMn1BpQ19dY6eKcxXzcA2ASTtO3ItMwh0qgrRU2nLJU+YK9B2jbok6MuOYiR5F2cmGnkv6fEHMNhbbC6MhkTIMMZIxwObObQqixDHyYPyWonnAHHIBVIurzeJbupjoUzi4C4MYZHUkso3CU3KfC32C7CIOR03DTFu8s45cysqkUHshFjBQXVm6wJCURbAunNu7NQXA8YLtC5k0kaqBbbpbRkcdeEMi1FrjcfRJ6RMMpTO1jYnedUU3bsLzYbrHGNeHz2xdv4jT3NKlyN1OqLyji4nb6ZKNu6DL50w6MHcnNOEYnztaf8pKGlZVoOuX3FpWLAK0viJ3LbU30K5gfkLn4KRy3Gphm+BitBPlmA08GqWnlRWjdly4S4MDxxkf3DpuzoSLER5thNZbioYTWAWPGwNOalI2zMQ++LsKBR0gjomJIWcmmfAERIpIXSzoOqbLQ2HiXHXooPT5gjsuspnuMOYttV+RtABsS7ci6UQjM8N3oASMdh+ZqHVFTD1ZB5zzJSWkYskjnKRjgnhutQ1HtSBbOKo9XXSsp2uoV2K9oxshZetop9yBJrIbD8efRQtFog6HLtukHarJJAqHKLgHTgPlXKDPuIBZj6iYDA7ni3Q4bxy+vjdR4Gwsq6PJB8qpY4jmdLXfbzFNaLZCuRgrco52Q1VMTwDOr8hpR/AzWn/EkdwkaM1CzRk+MnAjPYpznkt5itYd0XNmN17S0tbX6KdzXFhxVL8Qh7BL9zlyj3FGJOhA5WZUMiPpZMeQjrhSzA9qZ5OKqpwbFkb+l4akWzRHol6W/WTGlDZEN2Mra5Imtv2MXgbO3W0ykat0i73hwEa4bXXCUb7G6DrmakakPicSmXWe2LhLoowEqej1kqSGrwnUjG5gyhnR8vlJwZBr5nyY8NTELCwraLyyDErrhdZZ93wThXNgITULTtnW18kaDXEiT/cJB4HjykasM6/souNuL4ZRQhmSIZvGaKHyDnPbr/sPkHViihcYOPvyqkv7KRD4n4v162E9Hq5Pbj0s2B6uh+vhergerofr4fqMLeUTg3Mfrk9uPSzYPsPrKjnQ1v4eSth32zLg8b6xsUnpNPR5TT/eJ/rOxhclIklL3p7dXe8zP+fMwgkZ5Uhv8Ngi4AW23uJ8JoWmRFo14lnmEwBO/YuhxgKg3YqskZQjN9S6ba22LKSl05EziURGyze14SDq9NAl2HFGzD1jXJcxy5Wo2wTViZwzMVZMsmHnLghUBGkY8oZ9pqp1JKwz5/wM1WSGhKKPO49LbvehiOWVoeAZJpm4YOJefr/lkwbHNV5IIBijS6zj1KVMygr4Q3biTK3DlpTS87OTS+PtLncI8MJ5yy5mGF7GRzzkEvm0/93zPKeSwJAyQ8r00UC2Z7Fn6210arqqmpx2ZCbi3q7PXbp0wgU7LqMwn1ou3CWXcocuXTzAwfIccZMpDBzn68yD57QRzoaGR1pYBKXxQp9qBNhONlo1vR4sKzitI4yBs8I0S1nZiY0ja+ZMeo/OrW3EmK/xa7tE5RYW7N56TrH3cUiKiIF2DelwNcZzrqEOq8PnP0jHmXo27vxg0PBS4XxgjBs0PxAeTmV4G50YpksGLg0+m3ZoVbhkkhilxlOT9thSrUgMxrFCSG5kXp+wibeZcocj4MRTScNxPuI0NBzVnhct7LPfxUDtbB+YjS29LliFxxBxDFNFzLsSJl/2ZY0kHQnSMslA1AmHY8c5MRkaxLqOJSKLeHh/ykHxjHMCT//aIbLOxrkqFiVnw7arSLc9RsPODQavHnSkCStSNiOIetuWPQom5b3WMB5+n7iGJhwz4mjCETN/jSbPmGSgEY8vnf/T0FClR5ncQKMzMwPkkVrmrOQRzqvAwl/nZnqcQUbEe07zNXbuAh/M1DRzx3T5omjXxsOYcZCBTjac5Ouo2DmydgtySPTTgEo64EIgM6ZNiQQbWeNwhRW3i3cO6JKr91OKzg9m/jpVrghSERC2UdnSoaJs5ZKONSmPBKkZs3VLJxlwGhhlYJeOceJIKF79oXN0zpY4KJkGxZhti5CpXKZxyjY6dkks+9R7juKKyb+YgQ0tR+TSCUxq/LeMxcRtk3BcJebFfODVDDR7TEpONuWY0o6s08GQxuHzTU+fyPwGrU/EYXu4Prn1sGD7DKwHi7Rnioyf9u8yFnHOFXdZtIxCHNO4Y0rb4qy6cpI615BTOoyeDiwhf42skVVesAh2Ud2PGhQDQabCj1rkOYpywgoNykm6Tk6Z3vVEN3DiK5IqS5ZcawNP7BwN5toa8vrAfotq9HZHoEtnRXy+Q5me9lr3+aSinqwjUQe6dI/KLQgMTHlbXp8+zWEW/JycJ7y0JJ0YdMN91/BrW39guqWsdCnRS286v8ECqgff0jzAp4pJuUyJbUpEzYf3RYApm67LTpT24JiuxhKVwK0ZrKMjyJzYv9jCzf2aIC2ZiMfTiAEuN3mADKNMrP05XT4vY29XwqlHG2uXonab7nLmbnEuT5JJVG5Ol+6TSsJCcA2tWzHTFcf5iEzmyLfMgjDzRoBfBWUVEpU4LhuHAruY6RLErJzUVyYEJwbg3Ewm0O5ki9fAXJfs5IKkA0knLpxyppGT/uWs48SHti1p7jjrlW1MpvEjPhDwbiL44OdUYoJzwTGyo5dLunTB3F2zMVhxJMfUHcY0WnSZmRHVkSnt8z+NQzYV0wAOYu4Nhqv2O1oWJBc5TgbfjC5xmk/4SPCMajBqTyBIy9I1zIPnRivcaBK76Ezzl+0mwCEEPKd6ExcCW2kNqjudo9oDxjPLOuFkzqQ7Yu7xUrNL90nlgqkkyy19cL/+OOeKZ97YmRwgoeKteCs6vP14dM8eVB1ND5vsBmofqJ7U3OGmu0sHnaAx0vapCxzYi1VY2bjdmUOzUTM9dayBR+zTVc+iMsPJWTQzUyjGggWnXFeDvj6mN7jWVqxjgyblyLdc6Cm460QZmOUl6hSvdWHXTYgKo/Ts9IyFHNFLf0iXCDqYu9eZ23V/LoypsxFs4cvtocBT3GcwF0hyucGlSE9aWZJI5b1S7g4DGzHTy0bvMamNjnc+mC4TmLSnoqHXSy45oc4VBmr2TDk9IAvZ/f/Ze/Noy4r60P9TVXvvc86de6KbVkBUaGXSiNq2U3yBBajBeXxE0BA1hs6LD2MMeSqoicTh50Ci+JIVxRjUSJZiQpD1FMSxRcERESIEQZFu6OGO55w9VH1/f9Te+5zT997u29DdXKA+rLPou8eq2rVrf+tb3wHS1TRMk6EIxpUwXDohKCWk1k+SIq0Yixq03HpmXcqQitnBFKaOaemwoinweYSHjUErH6hboYikZ/NW2TxaN1fbTFb9b7lIQ94cZZF9B7coD2qCwHYAWVi71re/L/G7jx6elR9xVdrNgLgUUxrX4lrE0RAZrs5eUAX1HJYxMlISbcgstAvIrWO28KEbIq3pOkskMKy9ke/KJEanhzLRSJgrLDM2wumCVqQpxH/c17dgNosYzVfhVEFHfGgCrQy5dEqDZvEzeRGEvNZElJUcqLNIhrUZqbM4U1CYZq2RoAwq6mfQmlg3Ed3AqNh/fMpULqmaY6X1AQ4TG5OqjK6aZtZu8x9yFYM4ImW8WbpYOtbQdjkpmbcVsS2iUmvQLhxRma2hbRUIdAqHw7eDVjAeOxpGEytFISPEaUSq5+ok6hpFohVd58hUTkd1mGUHXTuFtV0fmLXSQKkmDm/fpJQPGXJv4w46+c6y3yicWJLIB56NdIsJ1jEh40zEMSgYjnxmB5+yR3sjZ+MH7onEp+3JrKNjLRYfrDgXRdf6X6fwmsa2Lch0l4gmDZcQ62YpsGXM2R1Y6bJV1pLpjLSTk7sRdmQZXcmIMBQmx0rXC6IUKCKa0ZjXKKJK3VJO1+7y4TJi/4HxglYv5VKluUJ8ZHypwkOUIWdQyhv1l1qSQlIShv3kQRQtaWLFMh55xxRjV7Ku1UA6h/sgz7pLm0kSGaJlNLHxwq5ByMR7C08VXhC1OLQYxhlCW02kY3TkHYOynNr71bnCC4+S1e9CN58shYpqUlBqwlyx14/nQOBcVXou16foPlu2SmDrBeJGBJ/6Tpdl84KNdZ2y37nS81pqYU1VGQ907FMz6WFi1ajfv5QOHTdFl4IGhkS85rZhFMPZMJnKaapRUM5rLZOEhl3DI4e9PWXUNbh0lOFYM9odZ0jFzLmMBjHKeQ/zojSCt8rbP2auzZyeJqdbtqnXLGsdI7bM9oCAK4CCvKD0svd1s6ZZ1l9K7Z9P9+YnmX4lQ4uhq7uIWNqSs8tsZ875dy+1U7VQWHkdV5kIcp3StTPMmMk6W4hC0ZUCW2aKyKUNSjOSHsKqRkTmSucjp2hbTacovdO1YiT2YXu6NqZpFG4ORJWe7+InjdO5YjLrCegdl1OoMkVcJYQqvzLjXO4dK/q0aXt1dDlIBBu2/UMQ2AKBQCAQCBxQFlGwBfaBILAdABZcDi2pY7FRBcr09jpS9MJZ+PhRPvinYOoguK4MkKrQZMUsUdRElzkOY0lwyi8pbe8KHeuYK3KvXSsTFudlAM+R0hZivKFoRE2GI9jeVVgRYllNwyi08/ZQQ0ZoRYqxbIQ5PYXRcT0DzaRNQ42QiQ8PUKXWGky/U2kRe2EKnKTeAFXpOjWX4EDpUmsY4xPfj/hFDJX4cASuoG2302Y7aTxLpHwYlAKfHN4Ht/W5WVWlXVMFFkvhLNN6EvB2V1Yso24Yh6BzP+NNlGImE4xWpS2aJi/jl0YKxiNbe7ZCkzQ9lEIVNKRBrCKMVuSl3r/DFB27g7RMQu7E1m1ULdVUAWYL22E6/bXPaVnGDzO6US4fdmnoUVa7CcaTmKFIE2sf+sMv53qP1zkLo05RiJ+1p9brUaalg1OOkTxiJou4Rxl2ZTCd+2Czc3RwUhArnxC8IS26eJu5vJiikJTt5teIOHYpRzd/JHPa55eMaZKJT9XUiMcgp/QwXEFETEyTQuV03TSZnfM5HNUkRiXl0r8PvdDznu7z6Ku9IintjxqAlN6QDaQMJ21IMBhiFTHkhhhODBahZRJWNBSKIWbzBl3nuBvNkBvCxJWHKUwWhqnMp/6azHJmXepDNZTxsJRtEbsIa/y7M4tPB+ZNErQPayMOV3raWpdRxV6jTPbuq9NbEu1FDFtEu1B5kPbHYqvbpFru0n2hfcrrlYG5VZnarvI4dS6tzSe82r/qY8OIWB/qxIyXHrxxOSplpFQ5RadY5Vb4EDzWvx9DOsE6x4hagTKGcZUwHGvGEs26FmiEjlVY8fa0E6blYwPm/m9tR5iRNlEZ/iVVRdmXLLOyAys+gHYzmqg10b5ponJJt2wn163DkaCUN6HQQ2htygDkLazroHWM1sbHjlMZOSlOCqb0LiaLX9dhh6x42z6F97KNTKvUYBVkzqfKm1XbaapRnBohlkat8RKxZK7DrN7BrmKMuWKESa1xokjFe1rPFX5cjbRidbMMu6NUmWe5wc7U0tSarnMUAjtS2JVZ5gqfL3lOtbHKkjKL0gbleqFd+kPA+D6yfHRXUpqvLLzvIBfmQcyyEdjyPOftb387V155Jf/93//N+Pg4J598Mn/7t3/L+vXrFz3vggsu4F3vetfAtg0bNnDzzTfXf3e7Xd7ylrfw+c9/fiCQ3tq1aw9YfRajN1i7erAVSUshrRyMRVMl9I5MQiteSVONUpATqyaRHqJjdmBUE628TQZSJnOWgru6ZUwh1aadNxlSMbE2WByuzOUZa5+ncqLpl/w6hSJ3hkZfUFEnPm6ZVjBkYiJJaOpxukyh0DjJsVKQuRmcK/Mb9gf67F2prLtfsnMuL5cxcpRRKLSPHK99AukqsGmiW2h8Em8osxLkcwgF1qU+ppNK6lAPPpaXXyIwKmFaTZYCFmS6W9rfRUTE3k3f+mC3uSswTjNmmtjM0og0uRM6hbdpa0bQcYoVsSPRwqoGZE4jMsZUnjEURd72DZ89QqHKj12H3M7VH1D/Ic/KJaf+j7iQ55NoM1SHdzEqZoWs9YE5XcREI2Yi8XVpmZ7H1ZxflWMyh6YxFKJInXeucCJ0dReHY7JoYlLFbKGZyy27ZJZIIua0zx+pxfePWBqkuoORyH+8nGUm24pSmsJ2SCNv6+PL6KPGR3qIRLdQKmJYr/IJvbHE0kSJZk7yMjhrTl4UON0sBddKQNNQBWkuI/77ZazKBkljynNcGWvN56ksMLpF5LwQ0CAmNooEv8TZNPDIYcWuNCJ1kLdX0tA9M4SpHHalipncT3B2ySxtPUtEQkMaaKVoGkMkmrYbZ5hxTOKXCwvX9mUoBUefMaNNL8l75WRQ2VDtRhlPrX9yV40LVXL6XuwwPwGSvvaprlmbXZRLhd7Y3uAkx+gmWjfKdmqWoVR0HbNNK59jNI6GiWjgyiVtgA4z3tlDUqbkblqqRSIxU3lGon20/7bTjLgRHzqnaTAKVjdhxLg6D+5YougUMJEYPxEsHYAU0CkiYhrYMkF8lX81tVNl5oV2mSEhLXOBeqcKGTCzcGVfiWrBvhmPo8rJoIkTchuV46l3YqjCEik0XfltbYrgg5dXj8e3odZ++bYwObnrULjUB3k2Dqf9BNpSlE5k4ChI3TRTepLZfJjUKmZibx/ZKXzMwxWJJjJwSMOhlbAyLkidJrMxmTO0IoXLvICzM7dMFyldlRJJxLT2WWrabtJnjKDMclHaLko5/vg+tbwkobAkev9ZNgJbu93mhz/8Ie94xzt4whOewK5du/izP/szXvCCF3D99dfv8dxjjz2Wr33ta/XfUTRYrf/9v/83//mf/8lll13G+Pg4mzdv5iUveQnf+c53Dkhd9o4rZ8tFbX9QBVHyGpYIo5sotA9gqUYZYQUFOQiMyyqmIq8RSWQILZpUpWgUk3qKWXbQVCN0ZZZEt+i6cVa5sfLOQqwVDeO9R0ciHx8oMYqW0axqKKaLyrtQuCdVdPvetCG1Aqu8Ia53OnCkxSwg5YCxu+K7L9F1pU0pPWMrg/FIN9Bl0OBEtUrNSYTCJ9h2UlCQl4NwXsed8mlvfHDSJB6jMirWyicBn5ZtJMpHAW/bSUQKHwNK+RRfDT2MK9PdaDSRXYVDaFhDgTCVR+WsULMzVQwZhRNFyzhWJIZEa3QnYSTSzBXitXIq89pMVxl7ey2ac0VtPC7lAC9Qeuh5e6VIN9E6Zjg+hEK6rFAj5OKw4hgpI57P5XWrAjBbOIYi7wjgbd9Kb9jClfZjXlCc0tOQjVHgHTRm1A6aaowu0z4CvkBXdctrFKVtYinsls/Xug65ncboYZJoBNEWrRJGzGqMRCRmmFV2LTNlYOW6B0jfv11aa596nsS67iPVp9inS+sLCqtj75BQRqCPiL2XpvhjLF5TYV2lwfB9eG3L97FcILMNlILM+o/h9o4wnefk4uiQMmV2kEubFuMkJGTOoZXPCtEU76wQu9gHidZzxDTZJXehcUR6iHZ2Dz5Arp+4zH8XFmZ3W9dKCKHavmC8tt7/K+9Rr/XrpWHSOkaLF8qa8TiJHgaly8TrLVKZw0rOkJ5AEHJJMWXKrq6bwbkMcZZOsZOZZCUtN0IbaNgGR8Sj6FwzpGMmdIOo9LJulsGp29ZbKMYK2sBw7AWaVuSfcGY1Bk1DGnRV6W3t5lAqIivaWJvipEM373nOe09bU9fR942otvMVHJFu0oxW+Hu4Ge/YZFr15CjSQ6Ru2k/4VEQ721EHba5TVylV2gP6dH+VzJ27LogrM834FGhWld63Snt7PnFYKZjVu9jeXUMujiETY5R/Z5ta0zTQinyi+NwpVjVTZvKEQ5qanakhMpBb7wg1VXSZ0bPskrsQ5XxmCXF0i2lv41sGXK8mgYWdHXBMWS5Cm7dhWx5leTCzbAS28fFxvvrVrw5s+/u//3ue+tSncuedd3L44Ycvem4URaxbt27BfVNTU/zTP/0Tn/3sZ/m93/s9AD71qU/x+Mc/nu9973t1frGDykDameoTpf1sjhhjGjSiEazLSfQokWoQuZgIn8JlhRohtjGpShljhDk67FLbaDLClGxjNt9K1/gwHZkewuqcMTcCUOae88xkQtH0A6xz3ph4JIbtqRc+HDCV+49bKhatNE0ZIdMdLBnOCVaycnD1eQT7PzZqoK7VB6b6OIPWptSoNWjoMVqMMuomyHSKEk1XzeHF2i6F8+l0KkN0v5QsqFIzo4mItDc41jrG4Wjn2ymM/0h1s50obcCAEo11GR3tA0vaUghIlE8DZsTQlCaTmaYQ73nWtTAcmTql1bARRiOhY3UZiVwxkzu6qu0j39u0LmttQN+33Kd0jBLv9adVE6UNjXgMo5qMq0OZ4m6GjaEQzZwt6jRXHes9PMu4sczlDoNiR5rRsRFa+WC9sy6lobyDgihhVraTa++Fl0vpoap9Xs9I+dAITlkSadXZK4yOvZaNvA4DIc6WQvIQPvWRYaU9hFSlxC5mddSi49pARI5PYWZdT2Dzy3g9L0qg7wOs65ANgiu1Q17g9ccppLyWUhG5m0OXXnVt6dKiQcc6Im3QUmas0ELTCJEo1jQVucC2tiMXuDfrss38tp4QFK5LIWkZrLXFlO0ypGKGjA8NMxpFtGSUmSKn4xqMqAbT6l4KHIlKmO3XLNche3RvU/974StRvx+q/7y+7QNUAm1paqDqCZDu+0gbBP+MtDIk0RhOCoaiVQyxAsERlxlLdphtFNJlhBVMcg+FdH1qNIRuPlkvQ2bFLNNmG4VOfUBi3eIIRn3OYq1Y1YzKgNE+A8msU0znvr8mxmf7GIkV3T5HWYfU2m/fNuJTT5lW6YHbKQPlzg5MzJQyRKZV513WOiYvfKYWKzlGxTTKLBZVMGilJ+i66VKPHzNr23WIk8JO9/olgg8zber7VUvLTvnMEEYntSbOicWZHFsa+ydxq96eumm26ntpq0maMsaQG2FYWjSTBkb7kEHghVwnPqh3yziGY1OGFFJMZpYZPcss2/1Y5rxjS+WhHPeNd7FuoVXEnE3n9a3lwmJx2JZZMZc1eu+HPHBMTU2hlNprIvlf/vKXrF+/nkc/+tGcccYZ3HnnnfW+G264gTzPOfnkk+ttj3vc4zj88MPZsmXLotdM05Tp6emBXyAQCAQCgX3D5xKVBX/LRQv4YGDZaNh2p9vt8ra3vY1Xv/rVjI2NLXrcxo0bueSSS9iwYQN3330373rXu3jWs57FjTfeyOjoKFu3biVJknlC39q1a9m6deui173wwgvn2cbtd0pNk1I+x55WDSLTJNINYj2MUilGRRSS1jn3lGiaRqNpMusUo1HEnIWuzICCdr6dLJ/GWp9P0OocFxV0OBRR/uXoWj/z35UV3JvGGHrGsODDXLSLggJhp5r0qVCUT7wTSURLjdJhBq0yctdFqAKEMqAxmKdRqOgzINbax8ZqqhGG3RhjqkXHRaWbfE5Gm0w6Pj9jFWC10ir0aV8i4/Ns5q6LVhG5dMiLOWxpcF24NloaFGWXty5lzuzw2rAyhMp01PLLzsoxodaRig9PYlK/tBDpJk0DDs1YJAwZx2jsly4iDV1nfcBZpE7/4w3ISzubgamkRunSDss0aUQjxKpFy6yk5VrMqqhOMl2Io3Aw47wBssbnBc2d0La+TXYyw84CGtJgUu9Aac2Ym0ArTU7q25AOc/k9WJv5vJpx4lMqlRqm0gKHQnzsP13b2lWx0Coby6KOxWeIGFENnDhaNGhEGjJwOFJm6bpZv3ReOdOoyiaLnmOBoo4Hpqs0ZC5Fqxhb3dP5mGy13Sd+ecgZR1d3yEgRGSXOdbn05kOyTOYGxC+PjsR+udiKUBTCDr2dXdmvqMKMRKbhnQe0z4vbNW0KN4F2XmOjNYwZH3BZWxiJIoyNsKWdnfSleep9hBYLPlVqyehpyXzOU+arHJTBZ6f1fV2U1y5RL4PW4Z4BqcM9aBUR62GMikjUMGN2oh5HxnSTORmho4TIxV6LXQaCLiSlsO3SnjLGSUo7346LC5zLKMwoHduLZTgaw2TmKJxwb9dr2yazgtE4IrWUgaQNnUJ8sFkUXetKbb8P+1KID+ZblLax4nyYD1wKKoLS9tDohNgM+9RzKvJaYJsSmUZPgV3a8vlg1RHjbhU7VVGGB/KrAuIshev6oM19NnFV00uZ/su5tHy+lKYYpi5f5aTgynAzuaTeVlUche2wnV/RzSdpRmOkZg1aDqWQhK71dqg7Up9ib1u3SeG8OUOsvV0qeE15R83QtpNlDum2Xz0ozUG8jWM5/umhMs+w6fWFZaRl21NYj8DSecAEtksvvZQ3vvGN9d9f+cpXeNazngV4B4RXvOIViAgXX3zxHq/z3Oc+t/73CSecwMaNGzniiCP4whe+wNlnn32fy3feeedx7rnn1n9PT09z2GGH3adrLRSPrfJ+o7TPUUREplkvERoiH03fdcvlqoIh5TMQFAJGq/pbUFB4mylly0wD3dKGpeWjreNoJ200moKMqWyEttbc46aIZycYjg2TWcGKJGJXppjKMzqkZDplp7vD29ThB/1MZWii2jsutx2/VCYFe1PY9gtuPYcL56Pli6mNZSMMmfIChJWc3M2R2faAIbfWMdZmqHLZTKkIYyJy18Xo2LeDdHHWL7l578Iqv6K3tetmO4lMyzsGoJnV28u6OEyUYJUPtuojcxWkcytYGTdJrYGW8pHV8XZlHSvM0iaVOfJSuHTSxQfnLEq7GOkJmzi0SnBYjIqJS9u9loxSlEuSlePAnGozkzfJrGN7MUuhCtYzwWRpjJzanCl9L6nM0jITTBd3kehRtPbPKRe/BJTbNlk+XQvXlXNHrjo+uCyCpuNtzqqctmWw5Wrcr5aK+qmEkwJLWtrOpczRdbOkxRRF0R043l8j6/ugOKocun7JyaJUtX5WRn93/XZwBQWlAThz5Colc7M4bbHO0s1bjEmD3Dl+M5cwHPmrjEWQOsic0HY5M+peuvlk6YVocHgP7EK6dKQgl5RCpxjnnZ66haNpdDnP8l7Vla1eIZUdlGXAyaDPsWD3gNqq+qhCacu6m3NCJagp7U0nyr6jxNu6CgL1e+dK+8O8jhOnlcGoiFj5QNlmt/dTl/aKXdXGOj/5Asqk8H6io8sgwblMltXxwvrO3B87Z8FJ5HPmuoK87dt2l97JodkhaHzAbitCLkLqLJHSzLqUOT3nBXvVKfNiWqTMLFA5KEnZBxQ9W0ajY3AQm7JepgqQrX2fkFkSquXJgoYkoMBIRMpsGa9M41xncCJV2dlSOYB5+1tXeo4iFjG2HiNEVfv8eJK7udq8woqj253COu9BrxsJmV5Jxw6xM/WOH/d0FYmB6TymUT6abgGzuX/3J2WOTGbLscyPsz5ougW8s5UPHi2l9W7P7rTuQsvEjk0geInuBx4wge0FL3gBGzdurP9+xCMeAfSEtTvuuINrrrlmj9q1hZiYmODoo4/m1ltvBWDdunVkWcbk5OSAlm3btm2L2r0BNBoNGo3GPt17n6g/3OCd4B1aReVs33q3cwqyKv2RngPjbbV22RGaKqGtOuhCM2smyfI5FJ06QbVPLJ8gZBRW06b0hMJyLw20NexUd1G4gpXdCSbVFCpbxUwO9+p7KVRGJnPMFdsREW8vEcOMFiKJvcZLutjKiLwOY7C3Old2Pd4erXApVmdkqo1WXjtiMMzoSa9ZlDZpPl16WRa1VrLCa2H8zF+XnoM+40IZyFcKlKo0QxmF8x9VpRS59Qb5he3gA9hqEFc/C+syjGmSMg1KM6t30C0OY64YonANphOvXdvaKUidY0r7pO5pPo0rHSN0aWfi7Yx83f0HuNSMiNcW2dLz1WnHnPJpvnbRplAF02o796RDdFSXnfq35JLSKBrcq++qnTLm7L10i2nyaI52uoMiSomTBgpD104hOLJiFue6VFHRs8IHJO2wyxsz48ui8d6PRsWlcCu9vlo5TojDlULNlGpT6Jw2s9hijMx06NgpMjtTfmyq1FOVzVolAGqvYRIptY22tFPSIJXXm/cidVRCnys1QCnWpnSc91rN7SzWZGR6jhndICvWUKiCbHaYFUkCAlnTMJ075lzGTr2DTr6zjA7vnSyKQvtUR65DWgowNuqio4hEmqhCodUQMzb1zhuFIWUWQ0RqZxCKUhjuS+C+V3ab5PTbtVWCGmUMl+qa8xLHu/occSkYL4i7MsyE0QmZtJnTY3RVm0xinHOkukPqpstwJJVWrRRkpAq2G5f/d96gHchth22N3zLiJhDl2N5tsEtm6eo22ykoTM5McTdRWQ6NQaxgMMzqKSJpUJiUrkwjpZF+t5gu+1QvnVdP3VWNLZV2PK+D2lrbxWcy8eOltV26xSQY5wM2Qxk82x/XdbP+vdaJf+70rQTUwrV47X0VRqUMt1SH4qkFygyR0qPXKLrFtH/nlfHvtJv1Y5z14VHaZoYdzpB1h+kWMTO2YNR4LdtoZOpHP5UXdJ1lp9pKamd89hjnJ6v1c1c+0LpSCmu7FFFaP/Pd+95yEdoWczp44Ev24OEBs2EbHR3lsY99bP1rtVq1sPbLX/6Sr33ta6xatWqfrzs7O8ttt93GoYceCsCJJ55IHMdcffXV9TG33HILd955J5s2bdpv9QkEAoFAIDAfoYq2Of8XWDrLxoYtz3Ne9rKX8cMf/pArrrgCa21tY7Zy5UqSxKv5TzrpJF784hezefNmAP78z/+c008/nSOOOILf/va3nH/++RhjePWrXw1479Ozzz6bc889l5UrVzI2Nsaf/umfsmnTpoPmIbrQksjA/nIZpbKtsJLVMXZ8SIXyuMR7LBY6p8UoHaaYUQ1m7XaKolt7I9bLLvVSZZfZ4h4fFsMVFKYLStPJdtI1U3SiQ+nYnTgtFJIx6X6Lk8zHEStmECmwygeQ1GqKSLfoFru8DYfr9mybFqhzXyX7tAdS2nllOFfQVX7prssUs7pJooeZsdsAKMpYZlUYCMH2AmVCbTOUWR+zyS/t9DSNfjbcX4zUbyttqaxSPhCn8v6m1Qy2w06cs5jSlV+VSw9F3GXarGKucwjNbkJDGe5mB5nqMGO3kRaz5NYHlmX35bG+tqg0qd4TLSUtfKiB2WgHc/k2BOGe+E6s5F5DZoRUZn3qI8m4JxliKv8NsRnCupSsmCW3cziXY12btLDMGZ9mqFtM+5l4/7NyBYUq7fpst16O8yFHfCqwyAzhSvuzwf7sy2zFe8jdG9+BwWtdZ9S9WFfQKXZgbdZ7DpWd0G4aUpQqtRjeFqdfG+fEL5krZGDZpNfXLZ1ih29Dm1JISqp8XLk89prEnQp2FWsxYtg1M0JbdZnVU0y5raS51+pUNnrWdQBFqmbKe+SlvVBEpBq09SR5sZ5Z4wMKOwq62SSRatDNp+qg0aqvx+3xc1S3hVvSspAPCA1VnLb+7T1cqekTCus1ZRJZcttmV6TJXYpWhlndpJAu7aLUvIutk4ZXdl0i5fMQAbE42wWlKGyXqfzX5FEXKxn/nSZsV3dRuDap9e2fFjNsb/wKAKMScklJdItOsasOQZEXc/X7W2nvfNiXKuxRb8yUctywNquXobWKyMuUeBaf1s+6DmneSytVqA47k3tIixky1aZbTJa2aHre0n6vQfvGDPGiBmVQ4tq2rg7bUmrYSk2aP8VrqP34K1DmBJ6120nVDNO6xQ43xqzawYhbRarmGE9X4XAkkjCrZ8l0m5n8bjLb9gHV6Y2xqnzm1nW9WYV06RbT3kZPbJ/pxTJC9qRhC0LbUlk2Attdd93Fv//7vwPwxCc+cWDf17/+dZ7znOcAcNttt7F9+/Z6329+8xte/epXs2PHDtasWcMzn/lMvve977FmzZr6mA9/+MNorXnpS186EDj3YDPQLasBQIAyzIFfxrN4O+TyA1YOouDoZN6tvWsmmS0DxgJYm9Vu8IMDeWl34VLa2fbSQFXIyoHFui5ZMUNWfuizyNteWZeWkb/zOlG0KKGT+RoYnXiD3fLagt3jK1fb7NUG47asWxkoM6ceeLUyxGaItJgp61DdozJ8L+dq5aDucwha8mKGKkNEXpR1r4JqlgKDv32Ve1HXHyEvMIC1VW5LnxUC6Ms+EQGWKZvSjaeZNluJJCZSQ7SLeylcSmG7WNct8zhWRsv54HKx6s0prZsDEQo7Wxt8T2V3khfepm5nGXPJupzUzJbu/H4Jeif/TV7M+WXOchnJh0HwRs/OWtrpDpTSWOeXg5zr9j2nsu66+qj0HAFQPi9jXsaR6xcIqj6V22nAUChD4TpEuuXDDqDxWRJm+iYMbrDzOwbbpCyPIHWf8M85r4XrWqJRButm649Slk/7c0VweUZe2n1V9liIY9bcQ6QbbCszLDiblQLybN/74oMaWwcuz6iTqquUua7D6BitYzlCId4AAQAASURBVNpmJ7boRcUvbJuCTrm06uaXdwHm2bGVbTH4jviyg++/PSGhcjXYPYRIX/OWeTVzoHBdctvGSe4FOKo+7hdXinKJvDIf6L0zvkz9ieL9foV1c7Sz3Ae0xXGnmSG3nXLc6NZlmOq6OvSGtSnGNOplV1+LvBaaxKXlOzqYc7V/8umFaur3Mc0trrYd7AlR1s568wlAEbGT2ylsp55gilhsGaR3oefi/+gTkEoBTokgaveE6r0JkFCUglJet2l1rdzOMZdt9c48OsaomNx1mdPbyF2X6WgEKUMIOZtT2LQ2J5DyeQ7iEJfitEVcQV7MUJTtJ4jPQbuMhDbvdLCwmUAQ15aOkkWnGYF+pqenGR8fx3slLv4iPOlJT1ryNQeuMmDTNhi/qd8mQWGo0j35uFSVpknmaZMG7qFUeW7fXfuM4CuBxNt3mZ7QUXvylcdVV6y8/RbQru173U1t14VSpaG+rTVRAzY69GbdA/Gs+tqn93EbLNW88/ZayIWO1GUCcuOTzEOf3Q31B2f3cu7pucwvO712ro7pE3brZOllmw14JPYZUFceZNV5Vbnq++/eFxar/24f0F7Ze44i3gZtUPDraUF3q3PftRbavvv+gSItVL4a3XecGthfRfyvnCbEpfRroweuvbvAVfZPVb930YBQfn/eg93rtmg/2Y093Weh51P3q+o983/4fX2p5Ba7/+79RmFQOqrbonIkqQWuPk/w8iZ9Zd9deu+r1yKfo15/rewD+8fK+uS+E6pxrQpInvRN/Ngvz2te+er7Mq8tVTXG0ZuM+8N6waP9GGuossAglYPB/HYZvF/ZJiIoFXH9Dd8fHD+qe81bA7FMTU3ts534vvKv//qvvPGMc3nq6GsW3H/97Of4yD+9hzPPPPOAluOhwLLRsD1U+OEPf7jkY+d9lJcssEXlKboOJNoT2HZ/sXsClj+377riyr81PoegrT9qXrNXDeK90AG965VebfXAt29D32DdjR/EyvJUaYe8A8DuAlsvgnd/3frbZ3DJYvCeA+fttZCLCWwNwGB0GWXfZdTBYMslpN3LuafnMr/su7ePrrUtgwKb6WsjWJrA1nf9+ySw9bd7v8CW9D784MslfZOJ3eu0h+277x8o0rx3pp/dBbbe31q3EMlRKkbEld6IxcA9Bp7JPIHN1MKHUnHv/YD79R7sXrdF+8lu7Ok+Cz2fnsBm6r5UtU+/R+Ri99+933iBLanbwrdrWvf/nsBWprrr19LuUWBbWAvT66/7KrBVQnbDP/N5Atv+Ednmvc+7tWWdy5U+IRbomRtUwqUpTVdSkKJPYJs/lvXXs19gW64svgS9b8/gwgsv5Itf/CI333wzrVaLpz/96bzvfe9jw4YN9TFLSUd555138qY3vYmvf/3rjIyMcNZZZ3HhhRfOy5S0nFi+JXsYMPAxF/HvXp8XkD9o8CPrVfLec84fOv+43e8BoAR/risGBhWvMjF+oMVfrx50+86nXsItB2Oxi95zqXWvUP3CldhSCFnMRqd3bi089AsUauEBbvfzloKqqj4gfEmfrU8HVFS23fznsKf7LVh2+tJXDQhTvQwJveOUz684oH3ru0+/rdgC++s+t4CQsFD9Fyw7ff3B9exs+m2s5t1zAfqFwL0J1LvXcfC8/n7Q66Mog7Nz5XE+ZIkwf3LT/0wG+mcZX83HSVMIWT0p2Fvd9oU9XWNvwu1Cx6v+flQ+p4H3otKILtR/FilTtdwmFIgToG+iUr7HVf5T31b5wP0HtHuLTQQWrQ/0ltHtgteoqI6VUrgTaQ/UdbH63lf6x8kF69Efo69vGb5fAPWvrO/F1QR8b/cbbBMGxs3lhADFIp7T+/oUvvGNb3DOOefwlKc8haIo+Ku/+itOOeUUbrrpJoaHfczEvaWjtNby/Oc/n3Xr1vHd736Xu+++mzPPPJM4jnnve997P2p6YAkC2wPMwAdt3mC6wLH19qWGDVjg3N2vvZtR+T6ffz+ZL5AtvW7zBt39WLaFhA3fDn1LfbWge/+u39tY2djtpR5LeBZLyWW5FCFh0X19ZRh8ZvvWN3e/1758SBc9r79ddlv63NPlFxVaKhupJZds/7CQwLTUcwbHCxboK/v+nAbKsMi4saT7Lza+LeW+e7jG/DIOCtYHgz33IXYrjxv4/772r8XaZJ9WEg4CgmAXESYFIc/zedmEFgutddVVVw38fckll3DIIYdwww038OxnP3tJ6Sj/3//7f9x000187WtfY+3atTzxiU/kPe95D29729u44IILaifH5cayTk0VCAQCgUBg31nq8vrBQBAfD2+BnyBcccUVjI+PD/wuvPDCJV17amoK8NEkYGnpKLds2cLxxx8/sER66qmnMj09zc9//vP9Ve39TtCwBQKBQCAQOKBU6b7moeD3f//3+fSnPz2weSmB651zvPnNb+YZz3gGxx13HMCS0lFu3bp1QFir9lf7litBYAsEAoFAIHDAqDRsi+2L4/g+eauec8453HjjjXz729++v0V8UBCWRAOBQCAQeAiyPx0r7h+CVcWCv/taxs2bN3PFFVfw9a9/nUc+8pH19v50lP30p6Nct24d27Ztm7e/2rdcCQJbIBAIBAKBA4bXsC38374KbCLC5s2b+dKXvsQ111zDkUceObB/KekoN23axM9+9jPuueee+pivfvWrjI2Nccwxx9yPmh5YwpJoIBAIBAIPAx6oRPDeS3Rhj/p9Lc8555zDZz/7Wb785S8zOjpa25yNj4/TarWWlI7ylFNO4ZhjjuE1r3kN73//+9m6dStvf/vbOeecc5ZkO/dAEQS2QCAQCAQCB5TFwzXtm8B28cUXA9TpKis+9alP8drXvhbYezpKYwxXXHEFb3rTm9i0aRPDw8OcddZZvPvd796nshxsgsAWCAQCgUDggCFKKNT+0bAtJZtms9nkYx/7GB/72McWPeaII47gyiuv3Kd7P9AEgS0QCAQCgYcoyyGIrohgFwkyvnwcI5Y/QWALBAKBQOAhzAMvtDncIjZsBzsTxYOZILAFAoFAIBA4YPgEYfsnl+jDmSCwBQKBQCAQOIAIbtG8y0FkWypBYAsEAoFAIHDA2HNYj7AkulSCwBYIBAKBwEOcB9KOTRCsFAvvW4LXZ8ATBLZAIBAIBAIHEEFk4VyigaUTBLZAIBAIBAIHDhHcYhq2YMO2ZILAFggEAoHAw4AHSjiSPTodBBu2pRIEtkAgEAgEAgeQYMO2PwgCWyAQCAQCgQOGIDgXwnrcX4LAFggEAoFA4ICyWPiOIK4tnSCwBQKBQCAQOHCI4NzCS6KEJdElEwS2QCAQCAQCBwzvdBC8RO8vQWALBAKBQCBwABFkEYEtLIouHf1AF6Cf1772tSilBn6nnXbaXs/72Mc+xqMe9SiazSYbN27k+9///sD+brfLOeecw6pVqxgZGeGlL30p27ZtO1DVCAQCgUAgUCGCiFvwFwS2pbOsBDaA0047jbvvvrv+fe5zn9vj8f/6r//Kueeey/nnn88Pf/hDnvCEJ3Dqqadyzz331Mf87//9v/mP//gPLrvsMr7xjW/w29/+lpe85CUHuiqBQCAQCDzsEcBJseAvhPVYOstOYGs0Gqxbt67+rVixYo/Hf+hDH+L1r389r3vd6zjmmGP4xCc+wdDQEJ/85CcBmJqa4p/+6Z/40Ic+xO/93u9x4okn8qlPfYrvfve7fO973zsYVQoEAoFA4GGMQyRf8Bc0bEtn2Qls1157LYcccggbNmzgTW96Ezt27Fj02CzLuOGGGzj55JPrbVprTj75ZLZs2QLADTfcQJ7nA8c87nGP4/DDD6+PWYg0TZmenh74BQKBQCAQuA9IsfDvPghsezODeqiyrAS20047jX/+53/m6quv5n3vex/f+MY3eO5zn4u1CyeN3b59O9Za1q5dO7B97dq1bN26FYCtW7eSJAkTExOLHrMQF154IePj4/XvsMMOu3+VCwQCgUDgYYks+t++shQzqIcqD5iX6KWXXsob3/jG+u+vfOUrvOpVr6r/Pv744znhhBN4zGMew7XXXstJJ510UMt33nnnce6559Z/T01NcfjhhxPUt4FAIBB4cOO/YwfPfkzK5c+FcOR5Pm8Vq9Fo0Gg05h3dbwYF8IlPfIL//M//5JOf/CR/+Zd/ub8Lvqx4wAS2F7zgBWzcuLH++xGPeMS8Yx796EezevVqbr311gUFttWrV2OMmefxuW3bNtatWwfAunXryLKMycnJAS1b/zELsXtn6XWmkKg2EAgEAg9+ZmZmGB8fP6D3ePKTn8yznvUs8nxhgS2KIn70ox/xR3/0RwPbzz//fC644IKBbZUZ1HnnnVdv290M6qHMAyawjY6OMjo6usdjfvOb37Bjxw4OPfTQBfcnScKJJ57I1VdfzYte9CIAnHNcffXVbN68GYATTzyROI65+uqreelLXwrALbfcwp133smmTZuWXN7169fz61//mtHRUZRSCx4zPT3NYYcdxq9//WvGxsaWfO2HC6F99k5oo70T2mjvhDbaMw/39hERZmZmWL9+/QG/12Me8xi++c1v7vGYNE1573vfO7BtIe3ansygbr755vtf2GXOsgmcOzs7y7ve9S5e+tKXsm7dOm677Tb+4i/+gsc+9rGceuqp9XEnnXQSL37xi2uB7Nxzz+Wss87iyU9+Mk996lP5yEc+wtzcXK0uHR8f5+yzz+bcc89l5cqVjI2N8ad/+qds2rSJpz3taUsun9aaRz7ykUs6dmxs7GE5CCyV0D57J7TR3glttHdCG+2Zh3P7HGjN2r6w2PJnYJBlI7AZY/jpT3/Kpz/9aSYnJ1m/fj2nnHIK73nPewYe5G233cb27dvrv1/5yldy77338s53vpOtW7fyxCc+kauuumpAAv/whz+M1pqXvvSlpGnKqaeeysc//vGDWr9AIBAIBAL3naWYQT2UURKi1u03pqenGR8fZ2pq6mE7a9sToX32TmijvRPaaO+ENtozoX0evGzcuJGnPvWp/N3f/R3gzaAOP/xwNm/eHJwOAkun0Whw/vnnB9XuIoT22TuhjfZOaKO9E9poz4T2efCyNzOohzJBwxYIBAKBQOBBw9///d/zgQ98oDaDuuiiiwaiTjxUCQJbIBAIBAKBwDJnWWU6CAQCgUAgEAjMJwhsgUAgEAgEAsucILAFAoFAIBAILHOCwBYIBAKBQCCwzAkC2x742Mc+xqMe9SiazSYbN27k+9///h6Pv+yyy3jc4x5Hs9nk+OOP58orrxzYLyK8853v5NBDD6XVanHyySfzy1/+8kBWYb9xwQUXoJQa+D3ucY+r93e7Xc455xxWrVrFyMgIL33pS+cFN9ydpbTHzp07OeOMMxgbG2NiYoKzzz6b2dnZA1LHfeWb3/wmp59+OuvXr0cpxeWXXz6w/0DVbyltfeedd/L85z+foaEhDjnkEN761rdSFMV+qfdS2Vv7vPa1r53Xp0477bSBYx7K7QNw4YUX8pSnPIXR0VEOOeQQXvSiF3HLLbcMHHOg6rOUtv3pT3/Ks571LJrNJocddhjvf//790/Fl8hS2uc5z3nOvH70x3/8xwPHPFTbJ/AwQwIL8vnPf16SJJFPfvKT8vOf/1xe//rXy8TEhGzbtm3B47/zne+IMUbe//73y0033SRvf/vbJY5j+dnPflYf87d/+7cyPj4ul19+ufzkJz+RF7zgBXLkkUdKp9M5WNW6z5x//vly7LHHyt13313/7r333nr/H//xH8thhx0mV199tVx//fXytKc9TZ7+9Kfv8ZpLaY/TTjtNnvCEJ8j3vvc9+da3viWPfexj5dWvfvUBq+e+cOWVV8r/+T//R774xS8KIF/60pcG9h+o+u2trYuikOOOO05OPvlk+dGPfiRXXnmlrF69Ws4777z9Wv+9sbf2Oeuss+S0004b6FM7d+4cOOah3D4iIqeeeqp86lOfkhtvvFF+/OMfy/Oe9zw5/PDDZXZ29oDXZ29tOzU1JWvXrpUzzjhDbrzxRvnc5z4nrVZL/u///b/7vyEWYSnt87u/+7vy+te/fqAfTU1N1fsfyu0TeHgRBLZFeOpTnyrnnHNO/be1VtavXy8XXnjhgse/4hWvkOc///kD2zZu3ChvfOMbRUTEOSfr1q2TD3zgA/X+yclJaTQa8rnPfe4A1GD/cv7558sTnvCEBfdNTk5KHMdy2WWX1dt+8YtfCCBbtmxZ8JyltMdNN90kgPzgBz+oj/nKV74iSim566679kOt9h+7CyQHqn5Laesrr7xStNaydevW+piLL75YxsbGJE3T/VLffWUxge2FL3zhouc8nNqn4p577hFAvvGNb4jIgavPUtr24x//uKxYsWLgGm9729tkw4YN+6/C+8ju7SPiBbY/+7M/W/Sch1P7BB7ahCXRBciyjBtuuIGTTz653qa15uSTT2bLli0LnrNly5aB4wFOPfXU+vjbb7+drVu3DhwzPj7Oxo0bF73mcuOXv/wl69ev59GPfjRnnHEGd955JwA33HADeZ4P1O1xj3schx9++KJ1W0p7bNmyhYmJCZ785CfXx5x88slorbnuuusORBX3Gweqfktp6y1btnD88ccP5NM99dRTmZ6e5uc///l+ref95dprr+WQQw5hw4YNvOlNb2LHjh31vodj+0xNTQGwcuVK4MDVZyltu2XLFp797GeTJMnAdW+55RZ27dq1n2q8b+zePhWXXnopq1ev5rjjjuO8886j3W7X+x5O7RN4aBNSUy3A9u3bsdYOvOAAa9eu5eabb17wnK1bty54/NatW+v91bbFjlnObNy4kUsuuYQNGzZw99138653vYtnPetZ3HjjjWzdupUkSZiYmBg4Z091W0p7bN26lUMOOWRgfxRFrFy5ctm32YGq31LaerG+2F+u5cBpp53GS17yEo488khuu+02/uqv/ornPve5bNmyBWPMw659nHO8+c1v5hnPeAbHHXdcXZ4DUZ+ltO3WrVs58sgjF73uihUr7kMt7zsLtQ/A//yf/5MjjjiC9evX89Of/pS3ve1t3HLLLXzxi1+sy/pwaJ/AQ58gsAWWxHOf+9z63yeccAIbN27kiCOO4Atf+AKtVusBLFngwcqrXvWq+t/HH388J5xwAo95zGO49tprOemkkx7Akj0wnHPOOdx44418+9vffqCLsixZrH3e8IY31P8+/vjjOfTQQznppJO47bbbeMxjHnOwixkIHDDCkugCrF69GmPMPE+sbdu2sW7dugXPWbdu3R6Pr/6/L9dczkxMTHD00Udz6623sm7dOrIsY3JycuCYvbVXdcxi56xbt4577rlnYH9RFOzcuXPZt9mBqt9S2nqxvthfruXIox/9aFavXs2tt94KPLzaZ/PmzVxxxRV8/etf55GPfGS9/UDVZyltu5zaabH2WYgqp2R/P3qot0/g4UEQ2BYgSRJOPPFErr766nqbc46rr76aTZs2LXjOpk2bBo4H+OpXv1off+SRR7Ju3bqBY6anp7nuuusWveZyZnZ2lttuu41DDz2UE088kTiOB+p2yy23cOeddy5at6W0x6ZNm5icnOSGG26oj7nmmmtwzi37RL8Hqn5LaetNmzbxs5/9bOCD89WvfpWxsTGOOeaY/VrP/clvfvMbduzYwaGHHgo8PNpHRNi8eTNf+tKXuOaaa+YtsR2o+iylbTdt2sQ3v/lN8jwfuO6GDRsO2nLf3tpnIX784x8DDPSjh2r7BB5mPNBeD8uVz3/+89JoNOSSSy6Rm266Sd7whjfIxMRE7Wn0mte8Rv7yL/+yPv473/mORFEkH/zgB+UXv/iFnH/++QuG9ZiYmJAvf/nL8tOf/lRe+MIXPmjCerzlLW+Ra6+9Vm6//Xb5zne+IyeffLKsXr1a7rnnHhHxoQcOP/xwueaaa+T666+XTZs2yaZNmwausWHDBvniF79Y/72U9jjttNPkd37nd+S6666Tb3/723LUUUctm7AeMzMz8qMf/Uh+9KMfCSAf+tCH5Ec/+pHccccdIrJ/6veb3/xGNmzYINddd129bW9tXYUxOOWUU+THP/6xXHXVVbJmzZqDHrZiT+0zMzMjf/7nfy5btmyR22+/Xb72ta/Jk570JDnqqKOk2+3W13got4+IyJve9CYZHx+Xa6+9diAsRbvd3q/1ue6662TDhg3ym9/8pt62t7adnJyUtWvXymte8xq58cYb5fOf/7wMDQ0d1LAVe2ufW2+9Vd797nfL9ddfL7fffrt8+ctflkc/+tHy7Gc/u77GQ7l9Ag8vgsC2B/7u7/5ODj/8cEmSRJ761KfK9773vXrf7/7u78pZZ501cPwXvvAFOfrooyVJEjn22GPlP//zPwf2O+fkHe94h6xdu1YajYacdNJJcssttxyMqtxvXvnKV8qhhx4qSZLIIx7xCHnlK18pt956a72/0+nIn/zJn8iKFStkaGhIXvziF8vdd989cA1APvWpT9V/L6U9duzYIa9+9atlZGRExsbG5HWve53MzMwc0Loula9//esCzPtV/WJ/1O/2228XQL7+9a/X25bS1r/61a/kuc99rrRaLVm9erW85S1vkTzPD1hbLMSe2qfdbsspp5wia9askTiO5YgjjpDXv/71A6EXRB7a7SMiC7bP7u/J/qhP9Sxuv/32ettS3q2f/OQn8sxnPlMajYY84hGPkL/92789IO2wGHtrnzvvvFOe/exny8qVK6XRaMhjH/tYeetb3zoQh03kods+gYcXSkTkoKjyAoFAIBAIBAL3iWDDFggEAoFAILDMCQJbIBAIBAKBwDInCGyBQCAQCAQCy5wgsAUCgUAgEAgsc4LAFggEAoFAILDMCQJbIBAIBAKBwDInCGyBQCAQCAQCy5wgsAUCgYPKP/3TP3HKKacc8PtcddVVPPGJT8Q5d8DvFQgEAgeaILAFAoGDRrfb5R3veAfnn3/+Ab/XaaedRhzHXHrppQf8XoFAIHCgCQJbIBA4aPzbv/0bY2NjPOMZzzgo93vta1/LRRdddFDuFQgEAgeSILAFAoF95t5772XdunW8973vrbd997vfJUkSrr766kXP+/znP8/pp58+sO05z3kOb37zmwe2vehFL+K1r31t/fejHvUo/vqv/5ozzzyTkZERjjjiCP793/+de++9lxe+8IWMjIxwwgkncP311w9c5/TTT+f666/ntttuu++VDQQCgWVAENgCgcA+s2bNGj75yU9ywQUXcP311zMzM8NrXvMaNm/ezEknnbToed/+9rd58pOffJ/u+eEPf5hnPOMZ/OhHP+L5z38+r3nNazjzzDP5gz/4A374wx/ymMc8hjPPPJP+9MiHH344a9eu5Vvf+tZ9umcgEAgsF4LAFggE7hPPe97zeP3rX88ZZ5zBH//xHzM8PMyFF1646PGTk5NMTU2xfv36+3y/N77xjRx11FG8853vZHp6mqc85Sm8/OUv5+ijj+Ztb3sbv/jFL9i2bdvAeevXr+eOO+64T/cMBAKB5UIQ2AKBwH3mgx/8IEVRcNlll3HppZfSaDQWPbbT6QDQbDbv071OOOGE+t9r164F4Pjjj5+37Z577hk4r9Vq0W6379M9A4FAYLkQBLZAIHCfue222/jtb3+Lc45f/epXezx21apVKKXYtWvXXq9rrZ23LY7j+t9KqUW37R7GY+fOnaxZs2av9wwEAoHlTBDYAoHAfSLLMv7gD/6AV77ylbznPe/hj/7oj+Zpt/pJkoRjjjmGm266ad6+3Zcx//u//3u/lLHb7XLbbbfxO7/zO/vleoFAIPBAEQS2QCBwn/g//+f/MDU1xUUXXcTb3vY2jj76aP7wD/9wj+eceuqpfPvb3563/ctf/jJf/OIXue222/ibv/kbbrrpJu644w7uuuuu+1XG733vezQaDTZt2nS/rhMIBAIPNEFgCwQC+8y1117LRz7yET7zmc8wNjaG1prPfOYzfOtb3+Liiy9e9Lyzzz6bK6+8kqmpqYHtz3/+83n/+9/PMcccwze/+U0+/vGP8/3vf5/PfOYz96ucn/vc5zjjjDMYGhq6X9cJBAKBBxol/T7wgUAgcIB5+ctfzpOe9CTOO+88wMdhe+ITn8hHPvKR/Xqf7du3s2HDBq6//nqOPPLI/XrtQCAQONgEDVsgEDiofOADH2BkZOSA3+dXv/oVH//4x4OwFggEHhIEDVsgEHhAOVAatkAgEHgoEQS2QCAQCAQCgWVOWBINBAKBQCAQWOYEgS0QCAQCgUBgmRMEtkAgEAgEAoFlThDYAoFAIBAIBJY5QWALBAKBQCAQWOYEgS0QCAQCgUBgmRMEtkAgEAgEAoFlThDYAoFAIBAIBJY5QWALBAKBQCAQWOYEgS0QCAQCgUBgmRMEtkAgEAgEAoFlThDYAoFAIBAIBJY5QWALBAKBQCAQWOYEgS0QCAQCgUBgmRMEtkAgEAgEAoFlThDYAoHAHvnBD37A5s2bOfbYYxkeHubwww/nFa94Bf/1X/+15GtMTk7yhje8gTVr1jA8PMz/+B//gx/+8IcHsNSBQCDw0EKJiDzQhQgEAsuXl73sZXznO9/h5S9/OSeccAJbt27l7//+75mdneV73/sexx133B7Pd87xrGc9i5/85Ce89a1vZfXq1Xz84x/n17/+NTfccANHHXXUQapJIBAIPHgJAlsgENgj3/3ud3nyk59MkiT1tl/+8pccf/zxvOxlL+Nf/uVf9nj+F77wBV75yldy2WWX8bKXvQyAe++9l6OPPprnPve5fPaznz2g5Q8EAoGHAmFJNBAI7JGnP/3pA8IawFFHHcWxxx7LL37xi72e/2//9m+sXbuWl7zkJfW2NWvW8IpXvIIvf/nLpGm6x/OVUlxwwQXztj/qUY/ita99bf33JZdcglKKb3/72/yv//W/WLNmDRMTE7zxjW8kyzImJyc588wzWbFiBStWrOAv/uIvCPPVQCDwYCEIbIFAYJ8REbZt28bq1av3euyPfvQjnvSkJ6H14HDz1Kc+lXa7vU+2cEvhT//0T/nlL3/Ju971Ll7wghfwD//wD7zjHe/g9NNPx1rLe9/7Xp75zGfygQ98gM985jP79d6BQCBwoAgCWyAQ2GcuvfRS7rrrLl75ylfu9di7776bQw89dN72attvf/vb/Vq2tWvXcuWVV/Inf/In/PM//zObNm3iAx/4AMcddxyXXnopb3rTm7j88st55CMfySc/+cn9eu9AIBA4UASBLRAI7BM333wz55xzDps2beKss87a6/GdTodGozFve7PZrPfvT84++2yUUvXfGzduREQ4++yz623GGJ785Cfz3//93/v13oFAIHCgCAJbIBBYMlu3buX5z38+4+Pj/Nu//RvGmL2e02q1FrRT63a79f79yeGHHz7w9/j4OACHHXbYvO27du3ar/cOBAKBA0X0QBcgEAg8OJiamuK5z30uk5OTfOtb32L9+vVLOu/QQw/l7rvvnre92rbU6+zOYg4DiwmRC20PTgeBQODBQtCwBQKBvdLtdjn99NP5r//6L6644gqOOeaYJZ/7xCc+kR/+8Ic45wa2X3fddQwNDXH00Ufv9RozMzPztt1zzz1LLkMgEAg82AkCWyAQ2CPWWl75yleyZcsWLrvsMjZt2rTosXfffTc333wzeZ7X2172spexbds2vvjFL9bbtm/fzmWXXcbpp5++oH3b7lx77bUDf3/lK1+h2+0GDVkgEHjYEJZEA4HAHnnLW97Cv//7v3P66aezc+fOeYFy/+AP/qD+93nnncenP/1pbr/9dh71qEcBXmB72tOexute9zpuuummOtOBtZZ3vetdSyrDL37xC573vOfxghe8gN/+9rd89KMfZXx8nO9+97t87nOf49WvfvV+q28gEAgsR4LAFggE9siPf/xjAP7jP/6D//iP/5i3v19gWwhjDFdeeSVvfetbueiii+h0OjzlKU/hkksuYcOGDUsqw5ve9CZ+/etfc+655zIxMcF73/teoiji3HPP5ZprrgkCWyAQeMgTUlMFAoFljVKK888/f8FsB4FAIPBwIdiwBQKBQCAQCCxzgsAWCAQCgUAgsMwJAlsgEAgEAoHAMic4HQQCgWVNMLMNBAKBoGELBAKBQCAQWPYEgS0QCAQCgUBgmbOslkQvuOCCeYE0N2zYwM0337zoOZdddhnveMc7+NWvfsVRRx3F+973Pp73vOfV+0WE888/n3/8x39kcnKSZzzjGVx88cUcddRR+1Q25xy//e1vGR0dRSm1bxULBAKBQGCZICLMzMywfv16tD64epuvXf1hrHWcespbDup9HxLIMuL888+XY489Vu6+++76d++99y56/He+8x0xxsj73/9+uemmm+Ttb3+7xHEsP/vZz+pj/vZv/1bGx8fl8ssvl5/85Cfyghe8QI488kjpdDr7VLZf//rXAoRf+IVf+IVf+D0kfr/+9a/v8/f6vjA9PS2rV4/LihWjsmvXroN674cCyypw7gUXXMDll19eR1bfG6985SuZm5vjiiuuqLc97WlP44lPfCKf+MQnEBHWr1/PW97yFv78z/8cgKmpKdauXcsll1zCq171qkWvnaYpaZrWf09NTXH44YfjV5GDhi0QCAQCD1YEcExOTjI+Pn7Q7nrBu17HV796PY1GzNOedizv/ZvPHLR7PxRYdjZsv/zlL1m/fj2PfvSjOeOMM7jzzjsXPXbLli2cfPLJA9tOPfVUtmzZAsDtt9/O1q1bB44ZHx9n48aN9TGLceGFFzI+Pl7/vLAGXlgLv/ALv/ALv/B7MP84qOY9O3bs4EP/3xf467/+I97znj/ioo/+G9u2bTto938osKwEto0bN3LJJZdw1VVXcfHFF3P77bfzrGc9i5mZmQWP37p1K2vXrh3YtnbtWrZu3Vrvr7YtdsxinHfeeUxNTdW/X//61/e1WoFAIBAIPKx574Xn8PSnH8ezn/0Enva0Y/i933sSf/M3f/JAF+tBxbIS2J773Ofy8pe/nBNOOIFTTz2VK6+8ksnJSb7whS8c9LI0Gg3GxsYGfoFAIBAIBPaNu+66i4s/fjnvfs8f1tve/Z6z+cd/vII77rhjn671zW9+k9NPP53169ejlOLyyy8f2C8ivPOd7+TQQw+l1Wpx8skn88tf/nLgmJ07d3LGGWcwNjbGxMQEZ599NrOzswPH/PSnP+VZz3oWzWaTww47jPe///37VukDwLIS2HZnYmKCo48+mltvvXXB/evWrZunUt22bRvr1q2r91fbFjsmEAgEAoHAgeM97/kTnve8p3HiiRvqbccf/2he8pJn8653vWmfrjU3N8cTnvAEPvaxjy24//3vfz8XXXQRn/jEJ7juuusYHh7m1FNPpdvt1secccYZ/PznP+erX/0qV1xxBd/85jd5wxveUO+fnp7mlFNO4YgjjuCGG27gAx/4ABdccAH/8A//sI813888sD4Pe2ZmZkZWrFghH/3oRxfc/4pXvEJ+//d/f2Dbpk2b5I1vfKOIiDjnZN26dfLBD36w3j81NSWNRkM+97nP7VNZpqamSs8aIxCFX/iFX/iFX/g9SH9GAJmamtrHr/K+c+utt0qjEcuNP/+0FPbrA7+bb/kXaTRi+clPfiJTU1MDv263u9drA/KlL32p/rv65n/gAx+ot01OTg5882+66SYB5Ac/+EF9zFe+8hVRSsldd90lIiIf//jHZcWKFZKmaX3M2972NtmwYcP9bY77xbLSsP35n/853/jGN/jVr37Fd7/7XV784hdjjOHVr341AGeeeSbnnXdeffyf/dmfcdVVV/H//X//HzfffDMXXHAB119/PZs3bwa8QeWb3/xm/vqv/5p///d/52c/+xlnnnkm69ev50UvetEDUcVAIBAIBB42XH/99ZzwhMfwuMcdPm/fYx/7CJ7y1Mdz/vnnDzj5jY+Pc+GFF+7zvZbiaLhlyxYmJiZ48pOfXB9z8skno7Xmuuuuq4959rOfTZIk9TGnnnoqt9xyC7t27drncu0vllXg3N/85je8+tWvZseOHaxZs4ZnPvOZfO9732PNmjUA3HnnnQNB/p7+9Kfz2c9+lre//e381V/9FUcddRSXX345xx13XH3MX/zFXzA3N8cb3vAGJicneeYzn8lVV11Fs9k86PULBAKBQODhhtEaimKRfYrf//3f59Of/vTA9kajsc/3WYqj4datWznkkEMG9kdRxMqVKweOOfLII+ddo9q3YsWKfS7b/mBZCWyf//zn97j/2muvnbft5S9/OS9/+csXPUcpxbvf/W7e/e5339/iBQKBQCAQ2FdEwNpF98VxHBz7lsCyWhINBAKBQCDwEEPEa9gW+u3H2P1LcTRct24d99xzz8D+oijYuXPnwDELXaP/Hg8EQWALBAKBQCBwYHFu4d/+k9c48sgjWbduHVdffXW9bXp6muuuu45NmzYBsGnTJiYnJ7nhhhvqY6655hqcc2zcuLE+5pvf/CZ5ntfHfPWrX2XDhg0P2HIoBIEtEAgEAoHAgWQ/athmZ2f58Y9/XKewvP322/nxj3/MnXfeuSRHw8c//vGcdtppvP71r+f73/8+3/nOd9i8eTOvetWrWL9+PQD/83/+T5Ik4eyzz+bnP/85//qv/8pHP/pRzj333P3ZKvvMsrJhCwQCgUAgsP9QKGR/qrHuSxlEUHZhpwO1jwLb9ddfz//4H/+j/rsSos466ywuueSSJTkaXnrppWzevJmTTjoJrTUvfelLueiii+r94+Pj/L//9/8455xzOPHEE1m9ejXvfOc7B2K1PRAEgS0QCAQCgYcBD5jwJgLF4k4H+8JznvMcZA/nLMXRcOXKlXz2s5/d431OOOEEvvWtb+1T2Q40QWALBAKBQOAhiOLgJXffK84tsuOB1f49mAgCWyAQCAQCD2H6BbcHRMsmAossie5PL9GHOkFgCwQCgUAgcODY45LowS3Kg5kgsAUCgUAg8HBAqQdGoyWCWiTTAbLYUmlgd4LAFggEAoFA4MCyaKaDg1uMBzNBYAsEAoFA4KFIv0ZNKXzo1UUEpwOJSHA62A8EgS0QCAQCgcCBYz+G9Xg4EwS2QCAQCAQeYiyrkB4QlkT3A0FgCwQCgUAgcOAIGrb9QhDYAoFAIBB4qKGWkYZNCDZs+4EgsAUCgUAgEDhwhDhs+4UgsAUCgUAg8JDkAfIKnYfswYYtSGxLJQhsgUAgEAg85NC9f9YhPR6gILVCsGHbDwSBLbDs6PduOug57wL3mQckR+FeqPrScivX/mA5tvf+4KH+/h+o59Z/XVX+t2zab09x2JZJER8MBIHtAKNQi89udptZCDLvA7PYB0cpXV9jTy9l7/67sZfzlso81/F5gRoXv+fuA3N/W1WDjRK7XwedpQxiA222W11kL2lU5j3vvjovtK+fvT7HqhyLtWPftfdWzqWwe1vV5e8vd9/zqmqxe733dM2B68KC5y143/puC7eZP8f0lcsu2iYLPu89XHupLHbdpb6Pi/aX+nyN2k/PeuCe/fdYrFy7HQP71l4LCWVVfRUGlC5TFtm9PpOBMUiZ8h977oP7Wt7F6rD4e1gVePegtQ7QC45ru/fzakzs/y4sVO7BcXP+uNK798LnHzQWWxINEtuSCQJbIBAIBAKBA4cIFItp2ILAtlSCwHYAUUqjVIPIDKN1gnNZPRsWHCJ5+bffpvpnylJ4DYGK/f76WH9drUdQSuNcCpLDbjO2eraqYrRulds0SmlEHE5SnOvsZQZtGGQ3jZGKyvL5fdXfIrm/r0rKMmb+iPKeIs63DeX1lfZ1VxGRGSUyzfK8gqzY5eu4hxnzXp/DgJZRl7VbWPvlZ/cRWjdQaJz4hMVaRTgpENdBpFhcs6MTIjOKUhHOZVjXQZXXQEUY3ULrBJEC6zr1eSIFSDUDdfM0MkrFKOVfV3EZtSYLjVIGpSK0aqBU5K9tZ/ZYzgXbpmwPr72ttGbS61vKoPUQInlZrBijm0SmidENAKxLyYrpsm8N9tn6eZfXrLUCymD0MIIb6M+DdW8wT0smBf0amF6/1CgVE0criEwTgLyYJS8m6+v2ay2UTjB6uCx/p2x/N/9+9N6N+VrTQe2rQvn3QbfKvpP6Z4yu+1bVziJF+W5Ux5Tn6+Zu/cW/R1pF5Rjgx5S8mOydp/rslspn2l/exdi9/1fvtUjq22y35+X7okGryLeZFLBIf9t9NaB6PrXGyWX1c47MKI14BUZFFC4lzSfr90QpjbgM6XsuVTtXZY7MUD3mFHam7Euy2/uvSg1e3ivTHjTYu7eRiOvT4Fa4WjOodQuFLsd434+MbtXvL0BeTCGuU1/Hj59+rPbvQDGgU1P9Y3H5XtVlUDGRGa7HnMJOlgXWfWPKA0zwEt0vBIFtP/OkJz2p/rfCCzXaNFFE5RZBSgFNxOI/ClWPrbZXQlw5qIuUg1T1QVIolaCUQsSWH/v+ZQN6x2FQ2g+u1UtfnVMJCQu9L8pfYP4O8UNZtb9/EPJlMr2yY2oBUchxLkdcWp/vB1rVd75Bq2b5QVA4Z3HSQVwxUP/7wrz61B8yegNj/cFS9UfJfwirdhtss/5FwOoeSsflgG3KMmflc6a8ZlIO5kX9kfXXtn0fCle3sz+vVy7QfcJ51c6qFKb8R1DE+naWYq9j4UC7DDxbUy/H9Mpf9buoro9WMVrH6LJvOZdTuHYtfPT32d6yTL8QpMsPeNXGMii8KjNvf6/R7EB7Vc+iKqcXdiIU2pfJdhHsYNtSTjzKd8S/j3b+O7dbu/Wfv/u2XruachJTvSNVO5btVw6/QuHfDSl6bU1/X6o+/rZsR+rxxEmGc92B83bv50t5a3rn9fqTpxI6qmfW2+/LYso+7hYcSxZqt6puvSJ6QVaVwk5khtDK4MRibRcned12u48FvXHEt7XRTd//KXoC8LxlyerGdsHnWJVzwTYa2NA/oa0ESFO+i42ybr7c1eRVKYV1mZ+4unygXH5/0hsX+oWtalwt+2V/nVQ5way4/gdbditof50fIOloPzodWGu54IIL+Jd/+Re2bt3K+vXree1rX8vb3/72+v0QEc4//3z+8R//kcnJSZ7xjGdw8cUXc9RRR9XX2blzJ3/6p3/Kf/zHf6C15qUvfSkf/ehHGRkZua+1POAEge1AogxKN4ijUZrRBIXtDOy2kuPE4soX1w80ldCW4WewfmDzs9hS2FERkRlBK4N1OU4yP2hWAwB9wqJuEUfDaCJ0+fErXEpetLGujeBQuw3qauDfpv4AiDhQ/ngArRsYPVwKFLrc5ssb6QZaJ+V5Bc4VdPMpiupjXLaNPzcuB+uYoXg1iW4h4sglZTa9m0JmQQTFwsLlXh8DDH6Myo2CretCn3CrVROjE4xuYCX32hblNSGF7eBcF9U3mPYLfFq3aMYrMDrGuYLcdevnq3VMIxrBqCaC9doo2wZx9XOkFgh7M+yqXJWw56RbDuZeQ1MJJlrH9cc9L2ZwtltqPeY/117hVa35ElW2R7+g0S+glv1OxKJ1RKRbJNEII+YQIomxqiCTOdrFDjrZTqydBYryI9173r49+gQAFRGZFiKCk9zbJpcTFZTB6CGMaZQTlLI24vyHTyphxX/Iqn4fR6MMJWto6DFECuaK7XRkG+JkoA+jFNo0iaNRAKz1AraTHFwKatCGqtaG1Of3PtqqX2BRCq1jjB7GmISi6ACx1yaahFi3as1TYVOsS8ntNM45X8dS69iIx4lMqyxbt+xHPSEwK2ZI8x04awcmHAOae/asxKgnX/UzMvX77KRbtndPSFMqQhGjtSmFYVW+47u1Qd0UlWAqqFIT5QUM3evPGIxuMtw4pO5PGR3m7L2kdqYW5K3q+n5d9iuUQZsmWjXqdgXqMa6a8FXPxP/PlNez89um7/nOF8B7dmiVYFZNmvo1wqYac1WEQuHEEpsWkfJCVSEp7WwHuUyWzzPGj/UJUdTEuRznrBfMBnA4l6PEv6v+dglGD9GIx4h0w2thVdQrVzVJ4IF2QJDFBbN9LNb73vc+Lr74Yj796U9z7LHHcv311/O6172O8fFx/tf/+l8AvP/97+eiiy7i05/+NEceeSTveMc7OPXUU7nppptoNr3W/YwzzuDuu+/mq1/9Knme87rXvY43vOENfPazn70/FT2gBIEtEAgEAoHAgUPYbzZs3/3ud3nhC1/I85//fAAe9ahH8bnPfY7vf//75eWEj3zkI7z97W/nhS98IQD//M//zNq1a7n88st51atexS9+8QuuuuoqfvCDH/DkJz8ZgL/7u7/jec97Hh/84AdZv379favnASYIbAcIP9PXaBXTjCaY0I+go2cwVMshioKUwnXJ3ByA17ZJgUJjXQpKY0oNW1YobLmEqnWLRjSK0YmfSdo5rDPY3ZZGlUqIo2Fa0Spi1ehdy83RQZMVgnXOa3MWXDrRfUsf/m+RApSfvWlVlsM0iYgpJCUq7aiG9UoiiXE4cpViJfVLHK5NZe+mVYLRMUk0glZeY7OGR9F0TQRhVk+TRTPevsdaZAFPwWqGvDctQtXmA7NkMQhFb1u5JGtMk0Y0QqyHsdWSZqlh6wJ539LVgG2M0sTRMMPRahI9gpOC1E1T4DVssWoxqtYwJCM4HN2ozbS+m4Ica7ukRVlX5/rXtctnkBBpPzMUV3rP4bUFcTRMYoZLzUi5FOusL6eTAW3g7svcPU0BpUbL1dpORYwohZUMJYLWDZJohMKlNKIRmnqcUbWWR8gaEq3oOkfH5WyLh3Bi6Uju749Daa9FU2gsOYJfAqy0NZFuITis67PcEYtWCY14jMSM1v0XvHY6t7N1m/mlL/8cjW7RSlazVj+WETdCqjLujSPSfApRpf1T2ZcUhkgP0YjG0URY0yW3HQrbxWL9KpTq06YqDaIQJWU/9lrO+cuBGq2aJNEIsRmiI4JWhkg3SPQwQ2YVGoOlIDdtunYKJ9Zrg5QttYTDjMSHMMIqQJOZNoIQSYwhIlNd2sQUtlsv49ZLu6U2vnrmC73f9Tsz0P/9O0mp/RNbmgQoW2p4DcY00MpglNeMU4B1GaJKc4/d39G6TJWdnbe31MoQmRaF9Zr4ZjzBWv1Y1sgKmlozYwu2m1FmzQ4K16WQlG4xTS6COK8NVioi0kPEZojYjNTjXG+MA6ez8n3x/VyrGEeOqKzsA7u/F9qPcf3L4X3Llj07vgS/ZDzYtkYnNKMVJHqYWDVxUtBgmKYMAdDRs0jicJIjYv17oSISM0SihynIvSa//BY4StMCcRS0EVG+XyIYPUQzHmcoWsWwWkVq5tC6Udr9Vs+5qtsDFIMN9mLDJuR5zvT09MDmRqNBo9GYd/jTn/50/uEf/oH/+q//4uijj+YnP/kJ3/72t/nQhz4EwO23387WrVs5+eST63PGx8fZuHEjW7Zs4VWvehVbtmxhYmKiFtYATj75ZLTWXHfddbz4xS/eD5Xe/ywrge3CCy/ki1/8IjfffDOtVounP/3pvO9972PDhg2LnnPJJZfwute9bmBbo9Gg2+3Wfy9lPXu/Uw4AWkckaohhGSNWTRJJUCgiiUhVSle36eppFIZCuuSS+qVO8QbGhghXDgdp+ZGLo+F6cIp0C4Uip42zbS+AlPfXKiYxwwzpCZqMEEsDUY5ZHVFEebkk260NY+dTveCmvKQtP4p+iS6OhmiYURp6jBbjzLKDphqhKUOM2zG0UjgRUnIyldGJpsiKGZz4ZRVjGiRmiKFoDbFq0pJR1qoJmlpTiGAKzU4zSlbM4lS+6LLoQkt9AwLc7kKKUohUg/Lgdq0jYt0kVi0aagRRFlcaOVtVYE2OdZkXjukbDMvl0IYZZVitYsSO4ZSjXRqzC46mDLNKxmgZ355dN4bWmi6zFDr1QkjhUKpAVE/49kKNRmm/lOOFLFBo37+iURpquBZoHIKNUv8RpfCCru+Nu7WRKpdaowE7SqWS+oNqnb+fKEEREekGRscMm9WMy1pWM84RozGJgtkC5ooY211HJ5okzad9PXBo1fR9tRQGva1b1wsA2n/4FbouYnVMpFu0opUM65Uk0qpdRjKV0tZTAOTOH+skR2FoxGNMmEew2k0wlsR0bINcDmEquhOXV/3dlcu8XmiIVINEtXAMo9hVG4w7nfml0bqPJOVydWVjmgAW/9lXtQBQ2d0ZHROpJpFuEOkGsR6mpcdZY9ehUGTkZDpl0miKKC0F9twvc0VjTLCOCRknQlHISqw4jPKtMCsdnC7oRtPlxz8ry7Pb5KUyup8XRma3vqAi/yzKpU6p6+iACKOTUkBqlM/Mfz6MbniHEfE2n4pB26vabrNealVEpolWEU0zRmH8GDZiDuFQVrG2FTEcwc7U0EjXssuN0NZtZrm3dEzxtrAoMOWyfKKHaepxtIpIpInSBhsVOAqs1WXfqOqk+iah/fTCCfl/9481/cJaVE+OKuHO252V7aUNTT3CGGsYsd4eqqEMQ8a3166iRcfM4GJvMhHrJrEp66BGKCQlVx3/LUBRkHtnApeiXOQnj8pPhKKoScOM0tITrLSrmNYJWkWI8k5tyyYO4R41bHDFFVfwR3/0RwObzz//fC644IJ5h//lX/4l09PTPO5xj8MYg7WWv/mbv+GMM84AYOvWrQCsXbt24Ly1a9fW+7Zu3cohhxwysD+KIlauXFkfsxxZVgLbN77xDc455xye8pSnUBQFf/VXf8Upp5zCTTfdxPDw8KLnjY2Nccstt9R/7/4yLmU9e39Simr0Xm6NEsWQG6KlEgyKZmTo2oSOa9JWLQyGrmqT6g6xNHDaYim8ZyIWiayfaTlLw4yS6BaGBIPFGW98nRUG8BoVbycSYVSThCGaMkRTGmSSk+ghYtUiV3MUKkFVH/WFDPHpF+YMKPGCjWr5gVsltBhnhZsA7RiyI4ypFiOJ71pOoGMNmYvZqUdIo2GcNEEcsW6S6GFGWMWQHWJYNRlNIhINqRMSG5GoFpFpYl13QaPmJWnXyg+Wj+tWDV7l4FEbcZeCaCkEVUSqWVpHpSD4j7vt9DxXa9u9hhektZ9JD6kmCmi6BnGpwYqU5pBmTKz9PQuB7txK5lSTTHXpmF1Yl+Js+SHAln1IeQHC9Wwcqw+fUhERMUbFGNUoNX8FkR7CmLa3D1ponFSVEB6hiPz3vG6L0omgFDq0aSJSeDs5lWBU7IU1Nc4hzZh1TSFS0CwUrUIxV7TYIStoR9tR1jtBGJ2gle+TWgyiYqzL/EdQaaxk6HI40tpPNEQ7jG4wolYx4sYZkiZa+Zp3pSDSCRIVpG6GwqU4KYh0g6FoFavsGkaSiKFYoxSMpCM0onGKouuFWCotuBdSqmcdSUKhu947OAJrNbY0clelM0oPWwr/pu9Z9Tx3AZzzwrdWphbWht04Y6X3atcZGi4h0ymZmfOaFWVpRH4iNOpGGYtjGsb3M+t8T3cIeWaJVZOmGcNJQVbM1LZnC7H4e6Lr98BryHSf/VSvj3vNmHdGqe7jtaRe2FaljazU5zGwT5d2kUop4lKr1NBjtFREJDETdhWrhyNWNGA08k8o0jGtfJTJvEmhU0Q7CuMFW4AoapGYUaJynBNxaKLyfUh8nyofT89Dv3JaGEzb1B/rzNejtFVUqtyn65WByoHAOVu2hSs1nKruS8N2mJVxk8QoDIpWVL73HRiTNSRJi7bdgVIRLT1OIkM0XROHI1NdUt1BxFKQkzGHdbnvV+LtI0UKYt0i0k0iiYmVwUjlwZst2g8eKMQtPkr//u//Pp/+9KcHti2kXQP4whe+wKWXXspnP/tZjj32WH784x/z5je/mfXr13PWWWft1zIvN5aVwHbVVVcN/H3JJZdwyCGHcMMNN/DsZz970fOUUqxbt27BfUtZz16INE1J097Mend17d6oQwYoReG6pDplWIZJlCHRiqHIEGlFZDWJi0iUYdYltFWDIfGGs6nKaKtZnLKgwURe29bUI/U9jGqSaMFJVr6o5QxSRxjtlwd0NeB6cQQAjfaz5GqwXsweVFwt8FTem9VSTxVeIJGEYRPTdcOMqibjSUwr0lgnFAJOBBEhUcMMxatRaHI3B0oT6SFG3SgjukFTayIFVqCwghMpj2mQKdNbvlmCzcPCR5RalUVPt+UMvqAwOUraNPBLjQ7BUhARE5uhnvaq/JBHZohmNEFDDRO5CKMg0RFNIsbiSjiCscQP71p5gW08SqCASLxwXc/eVeQ/GHXoB0vhKq2xw3sJ9j7eDosWL9Q7LEbFxLpJoZJaa+U/UuVydimkKHrLjFo1/FJon6eVF7JGECkw2mvdWnqccTfKyiRmLFGMRv6jlzkDEQxHhuF0nNloBdZ0KWxafuAq4dZrgci9cbz3kHTeiL0UCmI9jEITqwYj4oW1IRMTKTBaEVuDthqnHZFpkmnvQNNUo0zIIayImpjSSUEpaOmYJqNk0Yxfli/DVOjS67UQL/AljGKI6jAlmsg7A6k+QbnUbkodpqRn2E3tZezPy12XylPaqIREmkREtdDuxPgJnAzR0uO4OEMpQ0OPMcIKmjoiMf5j3zRQOEXuoGt9KApDRMus9KVwKc7Zeb3f9/mlaFgszhX0CzHVsnXvWg4nFlyGIPWyXQ8vIHtNPLXgqkonjMrZIlZ+jEtoMeLGaUqDiShhLIaGhkhBw8CEgkapkd5ZtPxENsqwLvWCfeSFtcrURJSQSylwlwKaJsLiQ+FUnvk1u03ue5qocqm7FMR7Dheqt2QsDu/80BfOpRIS8WPsUKQZS/w9WsYrmYYizYp0nEhNsE0P4SgYsWPERPV3oyENknIil6kuVmV1O/ol+AiUD/Hin1xBV3K6eq5+10ToKyelh+kD5SUqYBe3YYvjmLGxsSVd6q1vfSt/+Zd/WX+7jz/+eO644w4uvPBCzjrrrFoW2LZtG4ceemh93rZt23jiE58IwLp167jnnnsGrlsUBTt37lxUllgOLD4dWwZMTfklj5UrV+7xuNnZWY444ggOO+wwXvjCF/Lzn/+83re39ezFuPDCCxkfH69/hx122P2sTSAQCAQCD0OqJdGFfvsoQ7bbbbQeFF2MMd72FzjyyCNZt24dV199db1/enqa6667jk2bNgGwadMmJicnueGGG+pjrrnmGpxzbNy48b7V8SCwrDRs/TjnePOb38wznvEMjjvuuEWP27BhA5/85Cc54YQTmJqa4oMf/CBPf/rT+fnPf84jH/nIJa1nL8R5553HueeeW/89PT29b0JbX4yyXDrMsYtIRTgaKKWJNPg5mCLRmobRqBy01V7rAszZyBugiiUiZkhPlOdo2kwiCBpDoloUqo1WcbmspTE6ITYtjIr87Et10aLJVU6hMq9rq7U5Bh+IsS++WD3zLC3oRANFaXvmNWw+Rlc5i1WKpjRoRRGtyGvK0IrcOq/zU4phN06ihkgkYdpsJ5cOETFNFdPUGqMVuQjtwtG2BW1VhTFIMDrB2bZvWgbf8cXe9/5wG/7Aamm0b4bdt1xKqQksJMUWubdfMt6OsHBdCnK//GiaRNKq3e+V0jSjMYb0SmKaaLwNXgK0jGZFs9KmUGpJvIYtAhpG03QROLw2q4xtprTGOkcvlEdahnqptFRV8QusdCmcwiof280h3r7RtIhsE+sq2x2vXagM/b1TjI935TUHDb8UiSO3HQSL1jHNaAWOAk3kl3rcOCMmYjhWtIzX2eVOkTnf5g2jGJFhOmatNxTXMxSuUwd+VbhS8yL0AkgLzpbxqqImkUqI1RCxNBiSJrHyfSrWmsRUS7cJ2q5gTjXpqjagGXdjjJkmI7Ghax0zuX+mkdK0ZJxuNENezFHYwmt8oiE0Ebn1doQOH9jVkKC0QWtvB1WFZvFLYH7pz2uRpF6eo0+bBD7WXlGGbfEaO4fDIQh5uTxUiEUrTcM1GFYrUEbRZIymNIkkIjJeU6KBWIExvh85EYpS+zMsY2CgrXfiXJ8d625LfotR2zmJ4OgO7JM+hxXncr8MSI4P0lqGq1Gmt1SvIn/P2rSz94nRRGidEKkGBj8uGRJGaDEex4wkhlhD5nypbPm+xBo6hSbJE2AEbQw2KbzGUrUwqoGVtOfchMVKgaXASu7LJ67UiGe9FQMUqGhBzZPyNgKIUqXGqhc7T+lyuVtcX70NSide42d8OKACi1Fes2adr4d1kGjFiiRhIjFE7TXMuYyWjkvnBanvo0WV5hhei+co6rJ5hal/r60UdNQMaOgwxe7Bnsunt9d+cCAREWQRG7Z9ja95+umn8zd/8zccfvjhHHvssfzoRz/iQx/6EH/4h38I+PZ585vfzF//9V9z1FFH1WZQ69ev50UvehEAj3/84znttNN4/etfzyc+8QnyPGfz5s286lWvWrYeorCMBbZzzjmHG2+8kW9/+9t7PG7Tpk211Azeg+Txj388//f//l/e85733Of7L+ahsnS8h6j3+MzpqCmMiWnZJpFqkjkwCmKtiFEMxwon3j5ktFxCswKx8zZmDWnU9m8dyemaWQrp4rBEkmBUgiltjYxukESjNPUoGkOhcr9MoAsKlVGUjgZaJd64W6Lajq2KwzX/BfeG2kopjIpp6BG6bsZ/gpTFOv9R1KVwlDshc5AWjqzMITcsQ8QYRkxEUiRMmh0AmHL5JHNCp3DslFnm1AxOea85jfcgzdVMuRy654/Qkmzadv9b+TqKOIqiCwhO+zh5VXwjJxYVjaCJSMwwBSlW5RgV0zTjtBivL9khJXZ+SaRl/LNOrf/Y5kIdlkgpMEqV5s6lV3C10lYotDblMldl2OyPdM4PTNZl5LbjnfCcX67SyqCN8TZZplUvi1iX42OVGaKoZ7upHShtiE2LphmnkKyMC+eXVsfMWlT5jAwRIzJMM9IkZTnnCk3bKmYLv5ylgBGTgF2Lw7FL72Rab/PlFL+8r8qF3P7Awv4JWJzzF46lQUNaxKqy4/PTB6MUUbmkGOuExBpyGSJWmrFGxHDsF/4nM8eczYmUpqkjhmWMTK8ij+ZwkhObYRrRmPcqREjdLJkZQ5zDEBFp/z6JKShI6w+m72MaW3+wq492uSRa7XdpaRLh4/gVrktuUrpEzNpmWV9Hk4iECONGGWKICdPy55Uf3sw6ulrRKAXV1ApzhSVVKRpN07VAw6SKyfHxymoBRBnf1kv6KDrEDWb/6BdknKTli+VN4asYbVIGu+61QUQvKHC/UKP9u6NaXjAW58uvI0YTQ6OczGTlLQsHE0nfOCkxWjRNmmAgkkZZroKcLtbNkkm7djBwUgYkVgV14O4qPp3o0tHCUMWHozQZ8M4Epb1ueYxWcWmi0ItRB5Unc4wxIzSiMVpmBUrpepJcuF4Q1sL5d79hFK3IcEgTIGYy9S9N4YS0jMMXa0NRCvVW+SwX4srgwdILvm5dXjoodLydWzm294S2hfMWPyAsZsO2j0X7u7/7O97xjnfwJ3/yJ9xzzz2sX7+eN77xjbzzne+sj/mLv/gL5ubmeMMb3sDk5CTPfOYzueqqqwZs1i+99FI2b97MSSedVAfOveiii+5LzQ4ay1Jg27x5M1dccQXf/OY3eeQjH7lP58ZxzO/8zu9w6623AixpPftA4INmJrXnnpUuHTfFlB4isgajvHYl1v7j0zDQirzAMxwpCoGGVkQ2wmAYUQ0mGjEGxWSm2SUJGR2s5N4DVLVIjHcbT8woI3o1kcS1sJa6aVI1Ry+liy4Nc2MsMUoXZQiDKuEwDK6Yu3IgkDKqfW9fRsqcy4iVwYnQtY7CCqkTOq6gEEtDGUZNg+FYMxZrbGeIzGZ0VRuL0HWOriuYU212qrtI3SyRapalUETGhwtBFg7vsZenAbh59io1A9uFKguBOC/k5LpnaK6tKT10Wyij0c57GTbVGE3XpFA5Dkdbt4ldxIiLvIakLPJcAV1XajNKWz0RsDhMqb004rUQqYq9NoY5rJXSHsvhpbPKM9EH4AVKT0mLMQmRHiLRCXFf1PgqNInWcR3EUxAKlWJUQqyHSdSwF/J1BysZkWkxZlfUThSFOMajhFhVwgN0rGI2h8wKo7FCKRhPDMPSpLCCzSfo6mnapf2TuF6mDx+5XnrPVgqsyigk86Fe8EbqThy581qXRtn1Iq1oaMVQpLECrUgxFPn9MznM2Zxdeqe3G5MxWtLEspoi7uIoGI5W0zIrcVLQZReF7dBRk1iKWnOD8kKVUhFFqXWsQl5UdaglbwxVcN9+u6YqJEMuHZSbRpRll/bG8Q6HcuPEyjBsGkRKsbJhsAJzuaNtLZ3S9seUQtFsbpmyXTKdEUtMhPGhPnRSCsGVd3GlhlXUgWZZSEMttV1nv0OO9IwfvS609pbtczhA4XQXRdJ7nUqPUifWT0x2ExiNauDDjuiybb1QBtC2MJU5rBO0Ul6jWhYjIQIib9dnYwyajIIZ7dOwpW6G3PoxsRp3fRDkKuVZWbcyfA2lYKa1D+bc72Hv7dXi8p0zVF6hVUaP/jppHTGUrGGFPoxhGSUlZY5dpKpDu7DMFREIaIGuhUTBRANWJD7UiFbGC+G5Iy2fgV+9EKy2FNLFurS0r62Etqzuk+CFVt/e1cSuzw4RGfj/A8IevUT3rVyjo6N85CMf4SMf+ciixyilePe738273/3uRY9ZuXLlsg6SuxDLyoZNRNi8eTNf+tKXuOaaazjyyCP3+RrWWn72s5/VwtlS1rMDgUAgEAgcIEQQu/AvsHSWlYbtnHPO4bOf/Sxf/vKXGR0drW3MxsfHabW8V9GZZ57JIx7xCC688EIA3v3ud/O0pz2Nxz72sUxOTvKBD3yAO+64o47pspT17P2OUujShig2XiXuKCiky6y6l0gbXDHKiCQMx5qoNPhINERKEZdu6FopGuUsbySKmCinmh2rSWyDNt47SKNoMkJqxjEqYYw1jFmfamdWz5Ljg/Na5+05jE6IdMvbCZmWn705C9pAZeNRV6UXGLSfanYNUKiMOdVmRIbpWkvuhK4rKLC0Vce78TNSa9fGE+gUhpliiExldCXHimVGT9KWXcxkW3FiScwQDTPuPQfxicaLMjjwUtJU1aEbUD1twSKatmrpY7COFiHDFlJ7b+aq6+0DtW9fZUzpkt8ikgiLpVAFmWozpw0jtkHbeo1J18KuzJFZR1GGFymco0DIyNEYGmoYpTWJ8smcc+mQ27ly2QYqj7X+5yEidQ7PKg+hMxmaERp6hIKoDt4LjdLzs5c2TMT5AMaqRSJDiBIi1aBQKQ09wpi0WNFI6nArzTLERNcrZZnNHDNFtVwYkxjFWKIwStEpYLZosEP5hOciKVaKUlPQS6ekdYNeDlTrvTaVv2YujkIsqVgMXiutS3u2llFE3jmVochrMgF2ZTCn2j42oB5j1A7TUIaIUWI5EpPEjLCahmvQUXPMmSZZMUPXTXlTBjVCJF5L01BlSCHtvPchPsi172G7vxdSP4Mq+LDvKNovCQNW5aRqzluwqohEJYwz4r1rI8Wapu8rgmamKOhITlpY8rI8MzZlSu/CKUsscd/yZ6+P94ehQOHf7/73et4bQO2B7YMvD2rplEAv4Thl/yvtW8vIHwN5hbVBO7BVKA3xbTewrKwiHyfNCVbAWmgXjh1ZRlcyYiK0btIymsIJsdIYpRmJDQ3XRESYtYpOGYA4s3PkhbdzxVBq2VRtt1bFV6uC4vrVBEp7zuq5VbH1Sns1pWrvZV9mVWvXRLyJSGyGWaWP5JFqDU2jmSlynHJYMjrWMpn55ddIQS5Cs6EZiYSmFlYklswZJjPFXOHt4jJxWAcZBZnqkNk5CpeWGr3K7tNr5wrXBaXrOITg23lhO7b5y9wHjT1q2A5qSR7ULCuB7eKLLwbgOc95zsD2T33qU7z2ta8F4M477xzwENm1axevf/3r2bp1KytWrODEE0/ku9/9Lsccc0x9zFLWs/cnCkNkmiRmlKb2Nk+5+CWmrpthWhucFrBjRCohUorc+Y9Qw5R9u1xlaZbLca1IMxxBWhmsS0ykYnLp4JQw5EZAQyJNVjLKUBxRiGALx6zeRe46FEXHB1rFR/E3+GUwa7wxuM9E0JdMXpXGtCqp3eH98pQllxSFwagIJwUdPUvkInIxWCwd3cGSkdMlYYhxGaFpNLH2xtMNo2gog0Yzp+doM8ms205aTJEXcyg0hTK0jKZKwm5MgpO4zLfYl+y6RHb7f297L5yFpxfmpA4TUgX4LOMc+Y+fwzkpB3yLKINFk1VhJ1REQkKTMSLxy1uinA8OIgVtNcOUbbGja2gaReqEHVlGKjmF6vtwiSLTKUY1fDwpaZK4JqIFaytBy5VLNbrMw1hlm4jrmExVAnGlUh+XzFgiGv6DIynKqDoQsy5tcXI6RMZnYUjUMLq07Yn0EDGFX+rVhlVNxZDxzgUAkxl0CqFdWHYWXWb0LA1pEBejrDIRIxEMGdgOJMYQuTKoryv6Pjg+fl2kh8rn5LDKIGXS78JkFFLU7WVL4UgXipaJfGANrRiNYCgShowjs5o5q0gLoaNmSd0saEhZxbAZomU0K0lopY+hZbwwM2kNU6pFzhyZnfP5KDVlqAgfR0yUYFWOVr3l53rZs28CUCWuF8DokTpArEJhJSezc2jSWhCKdIOOGWXYDZFoGE98XaT8wDtxdMrQDrOugVWWzHTIZA6DD4SdS0GmMpAy7EgplPQCvFYhSKr8m30mBUqVfcmbOfiqaG/TBbXw4nOq9scFVKUjkneioBQgKoFmIXyMN1c7Bnj72ow5mzGTaRwwXeRsV9vpqlm/bN9dy2iUkGhFrA2xVrQiTVOErhUiV8ank6zOHapV0wtayttq5oX1wplYlI7KZ2fLOvYyhvRCMZUZEcrQSJXNWhWexdEXMkQ1aEUrWSerWDcUkxhopJqiu4JpNUtXCibLleTEGG+ckWhi5UelISMMGZjT3sTLAik+ZEquMzKZ82N8X57oOkBv9exq4awKkZMzON6Vj3BhMf3gICDForGjDm5ZHsQsK4FtKYax11577cDfH/7wh/nwhz+8x3OWsp69v1CAKo3+W9oboieS+KC4ao7C3kvbTXqBTUNiJzBaYZTXFiSl/U1qffyo4chgRWhF/nUrSsP1hiQkaogUn9ZqWDVpuQYtEzGRRERakVohtbGPfO0s1nUQGlhdeXdFNBhGIh/vK3cdH2mdviTyKvIJ6GubED9gWekSqxa6nI3n0qWjOqAcqeqQuVlsObApYxDxz9c6RadUSpjyozXHLmbtNjrZLh8gFwsqqQd+Q0ShNLFuYVXmjYiVG0y5tEfcbv+vhLVy5lymAjLae2RSxiizNq1n3l6j6JNh54UijzrEqkWkmjTKuHlOOTLS2qOrkJwpvROTaprKC9A79A4y3cWWUciryOyWgkhimjJMQxoYNB2phJyqnj4AaaR9JHdTphEScWTFbF1Hr21LKSQj0cN4Ha4XjhM9Qi5dwJXPzgExkR4ikgaubKMWoxgdMeLGSWLNaARjkf/IZKKYyWGmsEwXKfeYu8mlzZBawbBtsUIMQ0bRMo4q8p/BBxutHA2qvtWIVtCKJsiltMVxBblto5SmkC6pSrDK4vAaC6sKjDNo26oFqoaB0cjRMo6dVpM6mCssOV2c5BSSkaqUSA2zItGMJjAa+2fWKYTCNWjqMVI9RVF0KPCBYx2OiAhNglOWTLUxOi5jlVWYUv6xfcKa19xUaal88GVH7rxA6Ovng64WpkHHTJEygZUWWoEV5SMeCGTi6Oo2c7LDTwhcUTpe+L6R0sFpIadba4krT83a7kobrPNeuYjd7QOp6/fCCwCVLVq/IFOeWzlbV4JOX/orr9HJqOzCvOBQetfUx/iJTFY+64YawUrOrJ6F3E+sdumdTMs2CtdBKYMzlq5dxYQbpqFLm18FTvmAjU4chcp9DLoq0btRaKIyZV6r9AJu4yRFEfds1ShtEJVQx6NEU6V30zr2AX5LBwatIm/8L84HetaG2Awzrg5ldSMpnQi8E5GjiU4VOZYp2lgsQ0XLjwMuIhfFXKEZjqq2h0KEVHK6uktOl0LlZK5T97fKqcVrxFu1zaLShoi4zpJSpQCjFr5V7ynss/3vfmQxR9Ugry2ZZSWwPVjpT/+hVERsfJqUMVnNkLSIMDSkQUc3SPUsaTFFimJWKxISdDHijWwbEU0H7ULIrBBrRSNW3gNTe2P12cKHBEhURFOGmCsNd1smoqk1I4lmKIKsHJcjZXofZrGIZPVsTaGI8GlzZvEatlpUK6OWVzO5KgivlSq8QYGJkjq6vvfT8nkzUztNXobgMDqmIQW5FHSKhMJB6hRdKxRiyVWXOXsv7XRHnWdU60btYVuV02cgmO/VWht8LzAI1eFJdt+n6DMsLg2PS02VJqoNixFXOmIU5fKozy3pdOajykfKL2Gi/AedjIw2PnitYCWjzS5y3a2N/GftPWUGi9x7l6mEojRwb8gwTWnSUDGFeK2AFe+x2h9tPjItmmbMa8FUk46bJHcdqpRbIoXXULkOTo2SMFRHqB+WMboqIpcuRsW40oi+xSixxHSVnwC0ZIRhxphgGKMVDQ2JcSRKmLO+X8wVOTv1DmbsNhBHZBq0pUvhGriy1KktvZ0l7rUr+FRVUYvRZD0jrGCWXV6XZSLyqOPbCCGjTa5SDL7MhesyqyIiFxE5U8fijJV33kidYiqDqSKj0HnpzODIdYoGxhJY37KsShSzhWZ7V9EuDA03XGtTKg1yor3BemXUH6sGherOC6Lrl916GiutIrTqPaMWo4gSMtXyQZml650vJAMrdN0Mbd2mXYzSsQYnftI2m1m6ypuwd6zXkovzuSeb0QS5+PRMhepNsIyptOF+ObBe0qyCai84ydG9yUuJz95QOieVgWJN6SlZBei1Kqu9LftD/ChFHcJl4LVTPlByZmfQOim9RS1zappUd7CqYMZuIytme440cY41OcY9gkh5TWwh3qMys45uGdKiKJfSAbT2KcGaepREDVPocdpukm4+WXpWtwEfvgWR+l2shN1quybyAX6VppC0FIh1LWBoHTMcrWaVW8FYokrNqDdlMSigwb1pyk41Q8ochVqBcmN0rTCdKyKlcOK9q0Ugd45UpXTUDLm0y3y2PpNElf4LwDnj03GZUZ/ruFq+RpNbXU4YKm1hjNINrJ0ux8GegH5Q2aOG7eAW5cFMENgCgUAgEAgcOGRxB4OwIrp0gsB2P9HVUiHeRkKbJs14ghFWsZJR4nI5MMGQuIi2WUGmZnCS03FTTJsmkY3ouohYaxpaM5v7mWJiDEMRdAuFE2gXMJVZcmdJlGHItZjSzXKpSzHR8Ab9Cq9hA2/0a1X/EoCU8bj8LCumScN5A/NMzQBQ5fvzAVa9DUxsWjT1OFYyCvHLfkbFPgCmAiSnICV1s6TFNHnhl7ViM4Q1GR3VZSqPylmqn/3NSUaqZunmk1g36w2edaNOkaTLoL8Rgg8XHJVhSCKvERAQ1VvimWfPNi/tTHWMK+3UfN2UMqWBuB5IRF5pE6GFLTVs3l4nIy/mvIZKl/ZDlPn/3Jy3t1OJDzUgKR3ZVbarJrNztWF6pFtee2GggalDNCh8WrJMvKOI15RUacc0kWkxZFYx7lZhnGGHgVRNkaukXsJ10iW1MzT0KLHyuQY1hpYbAg1OWRJpggIjEU0ZxmB88F2EYRli2MTewNt4ax8nCqUFEf/3nOowJztIiymMSnCmINMpqXN0rF+CbRc+xVhUBk31WqmEZjxBIxrnEHcYQ8rbeRkxjMgwDseMnq01DQg4Em8TKSmpmqWjW0TO0LERqVV0ncKJZiqHnallVs35cDCls4PDYcXbC61KcrSCuzsJM7km1pqmbdLQI2R61gc9lS6FpETEuLrv+YCvTuXeqJ6o1sh5LaygdYskGiUxw7TMSp86yo1gxFAwQh6lZHbW24q6Aqe75MUcnWSKXfkESbeJQTFXWGaKnI6e8yF5iukyhEMZVkQcBRlWcmKVE6uWDyRrhuv+1W9i4oNj+2U/2e196QWGrcJ1VOmbSi1bufwemyFEfJInRY6Tnsa0ztErPtSrSIeBFGilxtw72nSIwaeZkgKRWToUFC6lm+2s4wWKWK+pa0BiWjRdgrERVoTU+pBBM3qWjpsqnUDKtGHK254laphxt4pEYqb0JDviOyhsh1w3EPHvlHM+ILXUSep9mA1bOuKYMnWZE+st+1RejhmKWLcYV4eyIkpomV6Y4iEjPqYcitk8IielbXeitKJJk9k84Z5ulTPZa4QBMmfp6jZdN+37n+34ZV09hNG21gQKwoR5BBN2FZnKmNG7sJKSxY0y/FHsl0XFYUyT4cYaptodhByth3BuFlmyOcn+QaS3Ujt/50EtyoOaILDdT4aah1Hln7SuSyNawWh0KKvsClY2GzjxqnulNJHSjLtVtM0ucudtWdrswOjIC0659+CcKjKaOmIEQ1NDoXz076m0YNp2SVRESyscMS1GyzyUitEYxmKhXXj7ta4VulKQS9cLXzrygzkWJ9bbZaAYoUWHMWbVPSii8qUvEzyXHwejmgwpHxQyZY5CukSqiZKeAFZI5gfE0vgXMRiTULguM2YXmWREmDpjQKZTOm6K3E7j44MNYXSzNtT2A6e3W1IqQkvml/ZUZdw86C25ML1o77X4VnuIWYQqKXW1hKDreiu0/1iRIAz1xaFyWNchsxGZmcOYBgrVZyCcEekyRrlLyYrZ0n4mYiDQKt6mK9JDXvCE0h7Q0tFzZNJBxBFFzTqJutYRkWow7MZZpUcQgVkZ9vHbrLc/qpwyiqJDama8LZU00UBTxVjXINMpsTTQRCSS9JwmytFz2MSsakSMxArrIHc+QK4TmLOKzApd1aZrp7A2Qxs/lKR06FrHrtSQRzCXWxxCQxIaapg08jZBY/EjGJc1rItHfYy6bJxEGyYaMU2j2JE2udsadqk2Vgp8gnjvZZhLSle3iVXCXNFgpjAYZehY2JkKO7KUjpnF0KCJ90TUaN8LFMTaMZpk7Mqi8uNb2oTqYeJoGClmsC4lVx0i3SASfA5ZadBVEUp0Gajat7eVzAdrVdCMVzAeP5IW43VcvoY0aKrYLxGrNXTMznrJUMQLMG23k3tNE9ddA8CcniPVHTrMkNoZrOviyrykvgdKvWyotaKhR4loorTGaR/hv1q67K3W+iXz2rO17vOm7v+9AM1+UVuU8h6mBozyQrNWkc9vXL5fPu9tgars9wRvPoCuBaNqPHFS+P5CVAprPl9DLh3SfJrczkGVnF0slpRuHjGrd9BkGCm8132HlK7uMot3VAIwulW+T40yb+sQI7RY2UhoZhGp6TDHDj/hdN7gLK+ddSxGN8uJojchqXJyRsQUVWBg0aWnfYOGGWeVTDCaGLSCzPn4mSORo6WFdlROdooC61JSNUemU6aKhK61tIxhLjfMFZZWZEjJvQlAOYZYyYkZqR3XCnKaagQthsPkUFYPRaROuKvbYE7P4VRBx8ww1noUM927EMmZGDqS58S/x3/az9HN7mXF8GPZNXcr1k7tZdw8ADywyRYeEgSB7X5SzSATM0xuE8aTR7DWrmdNs8HKhqJdKKyIt8/RMO6GmFVrmFE+kGZqZ/yMUCUkJJDCrJojktHaPKsog2hOFzlzeo6mjBNrP8sbzce9WanyqU8ivHA3lzs61jGrZylc20frVy0cXhvkKHzaKywNbWg6H608ilo0onFvl1IKdbnrYFTs7ZpkiJwJ2rrSfPgUMJW3kpUcV9rJKWW9AbykzNp76BChVFRqBbyBe27biCtq26zYDNe2TlpFOPGej7FqUfQFLPXG3v5jJJQGuYvp1he0das8FTNEfOgUlKvDD/QM5MUnmdYxhY3LNskRybAuI3Nz5Sxck7rZ/5+9fw/WdTvLOuHfPcZ4Du9pHtZa+5AdQogKbfKBgAQQ6K7GMlVBExWk0g2VlIgUdNmmbaFKuugGD4igohaeaBrttrRKSqQo0fIARUVFkXwC0Y6dBpEPCAGyT2uteXoPz2GMcX9/3ON55lw7e4e9k53NaY2qmZ01D+985/s+h3vc93X9LmIyN7D92uIq056UDteuVOwmmfII4piiskYZ6RmIRLacEbU33IZboz7NSIkgLW1uWXpPVKWKFYGK4Bb2+uLIajb/Ie0YvYXYG4JZqDGtXqWVOTvLZSCS5hDtpfec1sJRbYiMLlmHd+sc22iFWMfWIqw0zYXESMdV6qk6ITWBIVsywcrVrLhNqiKewKvyx3MaGm41vlzHaxbe8ehCOK6UdRUYL4/Zyjk8Ny6JTKdbglTs4op7nWMfhe2Q2cXEmbtP1N7cu3h6LAItZaVLhpRZBYPwRuyQqCWwysdE16E+GjBZe4J2IOA0EKjxEojiqfzyOl6pHD9eKk6q1/Aa/QQWPtCnSJejaVidx4lwFE+49Ef04+V8LKgqQ9xywQfp3BbIJjYvAOchbQv41bprFg8VS/cVslNqbQ2QLInoO0iQ6Mvrdb2pea5TcA6sL+fE5DS2ryk5Q2JAnMGXZySEZibDxbyB0sCMBZrPJzMeTHpUO6cs/WDqYDvxBVI9oDewQop1z2Pash/vclYHejklS2LUjoS57lPu7f0oGtvgGkMWaUXjPKeNoTou+zsk10Ow61bOdg6bycoSQrwUrWXBlKhmnLMiXbHECucCXlo28gi3qppVZU/5Klr0VOvN2uALesaVx1GNDNJz5gyJsoxrmlgzEjnVJb30RhNI3fxa1W7Bmjv40s081g2t83z8uuLRxjp0MS25N3ocwpW0OBfIeU9bP862f5L3y/0yPVjRjedlcvEKr4cdtpdlPSzYXuL61E/9NLy/HgWsF68F7KIT5w7Mw/VwPVwP18P1cL3y61M/7fVc7lua6jaI47fUr6Ee/z+McU8Vlgzxir4/473vfc8v/2Av11LIL1AlPtSwvfj1sGD7KNenhP+GQSN7sTzHE93wxLLhtLaYHMWieyzAWViGwMl4m8EdOHDOmDskXSDiOPOByC12cskqLYmqDEnYRWU7JnZyYKDHicM5aHCc5AW5HPFjhkM25MJFHNlpx1XpNtTeQK/9eIFOu0sZiM6KzKCBxh3hq5ojeQwl02N6HhEbATW54bRqUK3ZppqDDuzdfnaIZbS436zjpmpu0iHt5tgU7xrr7rlF6aBFxAWcmPZv0migtpvNaSC5SCP2Yl4DPaU42RzyQvvFOYKmwDI/5MvFdaWjZWWqIzEWzlLBzKi5Viu/pPILYupJuScWHlnMPaOzjMUx7W2Em6zD5so4ztbUbSi8JwG4zn3MKIPsZ3bdkItb05+ycCcAxV0aqaTFl1Gelnw+LzV1WJN1JLmGmA7EvLdRTN7S+iOcLmYHWaUVNZXBZMXT5YjHzfmMy8pxVBsuYx+tq7YdzYm5j4mzaCMe0w7J3LkZ9cCFOyfHY2P8aWbtA5V3PNo/ypI1QQOvWSzZ1MZ26zPUzrMOcKfJPNJElj5wNdbc259ykC0DB7QE0HsCSQcOcsU2HxP7jOuZ8QlbuUegYZmXVASCWAZlksz5AE91NU6Uy+jpouEUavGs8pIkdxjcgZjuk7Rj0Kq4qRsqNU1TkJZKmnlMlXTAVRWNO+JV+eN57bolODjrHdvR9FBB7BVqpaaVY7b+WfLciRVS7ulipOfyQcYbWCSWThy+wlUr42EvtfHGqHBql/ODXKAuIckBsXRAp3zMhNy87Mu1pGEaQ07xTSoe0UTWjpQ8g1whCDH3c3dvztnUZLm36sm5f6CPJzJxDUFzupYdlLM3SE286VCdu3iFoJhHhnjFVhy93xZA7MT0U8R52nBqx1/eEZzhhqbVOlgHx3G/ZOQRg0nLyIH7DH5Pyof5e514vG8NXF46qFo0tAmLE0MCrVtzO9/huHYmW8kWq5UVFtH0lBMcu9IG5wKIY5SeUc+IuWPvVrMu0ifH6Awqba+ZI9DQyhFHaUMlnlo8d9rAphZeu8yc1pExO86GQNLaMomjgPtk9v4ut9rfRJCWz97cgovP5m79Cyw55Vn5L/T9Ga/keqhhe3nWw4Lto1xverzmKracDWuCGNT2VqPUkskqHJLZt4dsN+XKCce+ZaenbP3TpLGf7fqCI3kL+u3lDn1q2EXH1RjZ5p5UdCO+2MZrLwafLAXbbrSb3/0+ccGWvb+iT5cALNxxGRmYYF41E7UruqtEwHPEI3g8t/WIUTMXbkGUEfEW2OwQVsERnFCNDkboOJC0Nx1PGeHczOvLOpo9PVubP+XRLuxS4yRQ+QVwm+AaFv7Ugsd1QKcLfDmbb16AbfwJ17qbF7PKOPW5hZtqQZ14nINURrAPCLYRGmfamSgdkZEhVrPxwiEzGFlzEUunYdalSeGgqdwsLO3vyQVUbAaFK9ORlZtxJQs28hjHyUZ7YPTzUYzh1qdMnzOjjKZfklD4UI7R9xziPRtJpwOD2z1wrHg8jXiWRXu2z4rHsdAFXk07WTvFlZDJLsH5ENmmgU56du6SmLuCfKlsDIMy6J4rniW5yGle4MWxqhyb2gwAWRtqL7x2zXyhrgsM+riym9DtpqdxmbtDy7OHYy5zw7m7R5JIhUF+O70iaseVu2KHo5Mt+3SP4Fr6vKX2K5bSWgy5TvmPylmfceIYteHZXjgUU4R3woIKzWsO/oTBXZHySJQOLzWTAMdLRcOKliMcjshAdgmnnuN8yqsXCx43xBtZp2SSqZg1fG3LEZVrUV9G3M7SRlIyLVwuofF2jJiey4r8UPRieWZz2fivxamfMakTfuRm5umEIFEF59tyfD+YlmGbh5uctoziIEcSHUOk8ONiKZoSgo0QMxB8S9aKxCQnuKlzuwbqel8XQX+FwxVGn58/JuPC9ZNLpLyjG403aHoz0w9611AXFhpktv7MCiCpQKHPiUhFEFhXgTQeM+qaXgaS66n9jpQ6Jjabc6HkBAsOwbI5p/PYkha8BE70cW7XDZvKpCiHBLvR/sIwGLIpqWUFt7qkdhsqaUja06ULhrRjcNebsgtXMUgHivEgxeMJLPOGta9pnWNTe16zgtMq8cSix7sMCneaNTEHe3UFHve3eUZfw291v5VV8HzunT3B3eLnro6pnDBKzzk/wyu9HnbSPvr1sGD7KNebfusvsbusOd8tcKJ0yS6cuxi4PwSaGKic0CULNA5BaL1jM6w5cxtGd5hjhbqR+aJ28Ad2aUHohftpV27KgZEwdzMaZwHxUYWrMXM2mBPubBjY+ys6vTSXpVuw4Ra9LBj9bu4ApdwzsKPDdDaP6imt95w2gasxwXBEIlOLXeAdbg6qB8c++aJjMw5bSt1zoKKYqPiGYFpFcM7Yb60/ppIl6u2CGKRhp/c/5DUWnJkbcDOh/2ZagU4dgvn7HzQYXP/jJjjXz6BMbvx0SlP88g3WFliHhZbkV6brqyyuSMRuOf14ZeLs+dcmkk7CZY+45lrfc7OrQSKmnlF6knZo+ZnWHbOUU+7oLTYh0AY7rsasXI4jI5mLOJgK0Q3ULIpjN1LRkiVyUVXsx7tkTQx6wEmgZ7TuHELj7XHHlMlkagmsWRCcoy31cV9AtPsxc54O3HUftOI0D6RsofHq8szwiulAkh4JgZRLEkEtPNYqJ5UY2T0kHm0Gnulr+iS0Hiqn3K4iyxAJLrOuRx5rKp5ZVlSd0Kc1yVkh27JmxFhtvewY8pb9eI8hban9Gu9qvAYa8XgnhFI4jTlxfxjYjp6rIdCnbGkgigFZvcfRcKUbtq4hFR5YkqG8rg2tmuNzqQsSGTA22Foa7ixqPm4lnNaJmIVD5cjqUIUuZ7psx0RLazrRUlA5V5uYLve2sdFkfdAC5LXjp52PVc0J9aYLC25BoJo7pw5nXZvSeUtMrEGLABPxeNdeh4gX8uIE/b3hUMAKreug95R3GLh1MiW4+dySwp+r/IKxiPYneO5kOJg0YJVbUPsNtSxx5bjxhMJYrFGZOn0T5s5gsTkfsHj0kjLgzCC18KfczqcMRLKzLlhWg2vvcsd2bEvB5qmco0+ZfQxsWTP4AymYQQOZosKW83mcdCxcxYyXYOkw0nKbI+60noU3zuCYoc+ZmHVOA/EiHFJmqQvW7jaCY8+ZdeXj3ph+mnFNIHgzcAVpCcXMUsuKVVqy9J5V5XhsAa9dDtxuetZNz36o8S7P8VaHZNzNJxZwt/90PvOO5ygkPv7OBUfNwE8tN5wPjg8+8zjv5xVeKmh8gQ32w0LuRa+XXLD93M/9HP/23/5bfv7nf579fs8jjzzCp3/6p/M5n/M5H7Oop4fr4Xq4Hq6H6+F6uH5tLgVyev6C7WHn7cWvF12w/f2///f5q3/1r/LjP/7jPPbYYzzxxBMsFgvu37/Pz/zMz9C2LW9/+9v5X/6X/4XXvva1H8vn/Ktqrd76WlZnVzzajegQyZc7+l+MPPnBI3ZxRSjuTTC3Z5VLaLVULNwxg7+iL7qvMe3MhSSeg7/gipZxbDj3d2l1zTqviIUAnwHvSq4oRka/PwzstGPvtsbw0kiQlpW7xSZtqGk4+CtGf0BkIrof2LsDt9jwSFuzqoST2rQpQ64IIqxzTZcTZRJJVvBie3Yj+psmzuJfxmtHZqFqWxTRlG3nqP2K1p9yqo9zrKat63Rg67ZFzXXtRJu6BkDp8C2JrkfySJmLMmUafsh6YGSaH3xeIkzZoZaiMJ0KN8OVE0iYn4+nptEFQSuijNS5QVEOcmDn7iITHV590ccpWXvDBUhVQAnXOAdz0Q3EfMDnykbjqjRhzUpuc5RPOKkqFsFx3JjyaFRBpOJu33PmzkkMqCjLvKFWi3FaYTO5ioa7FfTpgqg9PY7OHai0RlSonUWh9QkS2bIaRai9ow3QJaFLdmwdUubSnXOVnppDzL1UBL8wJAuW9zqW0XfjBxAIIhwFeKIdySq8arnneHWgqjKHJ+8gOBqnBKecNANOlKgOh3KrHnm8Nd7Z1XZF1EhkoNUlnSxIesWoHV2+KCw/e16tO7GxmLP+aHDXHbZzrug5cHE4oSLQukABuBC8HRvt2FLLklH2pDyS3EhyloG6zEtaqWmc6f5aF6idcLsNPL6AO00iiJJVrPsS4BBNh7rjgIri1LH2dxhkMWtEJQh9zEj24AJT+kamw8nC0DEijNHYfMGbBjQUaUEqUVqVGn4kyYLBNWQ3kguKwk4DtRGsjObqzlrO2eIAnc8Z665Zbi1lbJ9gGpvCPJ6d3NRgXMo2tOYUd7E4Qkv3umB5gluycCfzudTJfj6eslSoFB2sZK67fNfB9pRunXMVlSxYcspRqNgmYVTTSPbSM8rI4C6536/ZBM+qElbBki0c0KQFyZ3iq0CfLS3B0g3a2flu8gQbFztpLGow15w0FbdqaL2lFgzZ0hcOKTLEzEikoSKRaSVwnG8RJbLjnnX/GE2Dp8qQdoZlkXbGdjgCy7Rk6SoWQTiq4E6deXy552Rt59hl1+Jd5qRKZBXuDxYh93g78vmPBT7rsXs0jXVQX/vf9Dz+M5f8l5+7w3vuLT70WvmxXvrCBRv6K5hx+mtsvaiC7dM//dOp65o/9If+EN/7vd/La17zmge+3vc97373u/kH/+Af8MY3vpFv//Zv521ve9vH5An/alv5t38qjCNUFez2uP2Oxb/5v1nfH6j2S2qnBDdxyjJjBucclfOs8wkHd0F2kRFvqIjUkcWzz/dxPrDTin26R+vWrH3NIXdETWS9Zid5IGXlTC44l2eYipdKDB55mu6w8hUhO9bcpg+ma8tpT0w9h7Al6Am3GmO5Lb2yDcImeBZByHi2g2efEl3KxFxyTW/AO2PuibljyomEGwgB1Xkc46Sidcec8CiPuRNO64ATOBsCXT7M5oRJfzOPZEreXy0rsh8MC5AGLJj+QexD+UGuY1jyh2zj7LnUJcbG4KrGtZrGN6kUbZ6shkBJDCzzCStpcQqb2nQyz44V5241C7HxVpCl1N/Qw8k1vJQpdNrQKSl3DCmQkmE8KllwK99m4Sra4OyCHSAUcXOfHPcHYc99ko4sOWWpC5oSP7UOFmrephPIcNd/gDHviHR0bk9GabW9cVwqSRKVyAzKDQLbEe72yuWY2KaBvZsKow4nDVW9oJKF6X/EkYglf9VuqEUBxTIojy0OeKc88bpLqo9ryJeZxTOJqMJxZa9bW0VicmyHCi/KwicebRMZz/2+Jo6mPWq1YSkncyTTmA6Wk1tQK2Dgmqy2sWlF5tHdzl1wGT/Izm3YyGOc5hMa8YW7Z3/3Uloat6FzF4zJ8Bo2GlMWUnMcSsYrnqM6cFwJjy/h1e3IwifOhkCf7bFqb5uqqImD7Mhk1nrEOh+TWNPLgSgDOEdyfdGeWT6s9w2SDSFShRVoNv2pDTofKGSm7EmHbcyyWNSWdyNCLCWp8QUrv4AEWSJkmY0vkE1riRZ2WsBJw5R7mhnI2hVNHZhpZiDfCGCv2VC7FUmLxrMYRCKjCfnF07o1Kz2izg0eT+f3cwSTjUXHgsRhLhoNlDFF6tltK0hD7VY0uqByjpAdTa5ZSEXWzCg9ey64G49wrNnUgVW543XJsRgtsm3FMdtwziGf22hWfQEmRyZgdSLipWGTNgQ8x5VwVGUMUm7cy6Sw15Erd8GBK9M66pKNO+FYF1xmQ8RMBa7mWCQRHamKVAiLvJ7jDKe4wcbbdfmkjhwtO9rVyOGqYh/tj1kHS7/tcs3aZ46qyO94/ZM0v6lFR+HnfqTl9I2vZfH6Pa/97vfTfODxD71efqzXhynYHjbYXvx6UQXbn//zf543v/nNL/j1pmn4/M//fD7/8z+fP/fn/hzvf//7X67n92tjVXYBZ7VEV0vcq0+pqmfwKK4YEXwhjB9SwpdCa6kLFv7YsvLcFTH2drEi0sdLpKiNhrwzOKYXJAtD2RnHbN0uJ6aRueRZtuNTBL9g5W6z4JjjdMRxaKnLzXmTNnTuNqMeiEUHNGpnousAK69UTmmcsAjWbXMCtThyr+yjuT+9wDb3DG4/c9dyNjebFWruerc+62EMNtq4DZu04WQRuN2YVqfPDgbjIyn52kUmBnTNBcTZyhq8FaQ9V+X1EvRD3KKTxs3PHQEF5IambSrW6rAxcTGTazQhRHNgiv17eg/WckzrAo0T7rSm4TukhoWckH0y555WZfccSVHLc7zBkJtp8MVdm3tSgeqKa6ndio00BLHX2QnUDryzv7IuzZIh74iMbOQRWgksvDeAcm18rEVyuPGUlBP33S8Qtbfgd4GmZJsOGYZk3ZXaW3G4LI9/PsLTXc+WA6Mb6PNl0SP24BxOKmpZmsZLragx0br9fNRMUkclytGyo6oyzSdt4HWP437uKVqfSCps6oE+BtsEZMflGPACp3XPaTXSJ+Gk8Yy55SoJrQRSXtH5LVE7ppxcK8rt2Bmlt64wlu3o1ErkQXfsh3v0/oqqXjCypsY94EBuxDZTe3dmRbjm0nGBhQ9sas+YlajKrUa43Vix9tjiQMyOJ7uaXRR86UhHtaK4ky2RkaWsWekCEWGrno6uFAdFo+k8qkpwDeJaKm/w1FGvwc0i1x2npCOJkZg7KmlY6QZRR+eOHuD3Ada9kRqRHs1F3D85QymZouRSsPkZJOsdxOQKJy1NPbOSrdsBnpQ82Q8ETqy7SmW6TxcZdEeHfa7liFVezUaaXDZHUwqKkwqVyUHrbXPgl7PODMw56n2LlwZRIaoFwQtC6z1drLgiMuQdZ/5ZlqklZjuuQvlYSU1LZakxacGFWzBIh9PytytUQun5m9vzyJnsp/XWXRuzdaHHZN91cHu23KNLF/Rui8ojwAmNd/hsiRuU125KhsjFtOVcYJkXHPmWxpvWGazoX3ll6RPe2yu/72qupoKtHqlc5jJ6bteR2iXa3/9f2ev3zBkXvaKnp+hv/k2s3/1zuB9/5TtaCugLddIeVmwver2ogu3DFWvPXbdv3+b27dsf8RP6dbHa+kM+NdUunUZ8cuYYFT/DOnu/JKYtYN2ZMe6t7T/T8UvRhzIS6XNNn6BL1sXYpoEDFwxxa7BVFtzRWxxVFatgFvOssNaGTm+zcxf07oqUxgcdWZiIVoA2wLqCICZpvhod52PPXjscjkt3Tq+7YvMfihj52gxwc9mFv5oJ5EtnRPup+BCESCqurIwUgfI1jNdSGWo1kbXzfu6yZZESU+X5kG5ameO+0DXBi3W0VAzcKc5B7meHn70fkTFtURKje8Qgxd6xCvaa1k5YpxOys2DvJNHgnmU8qJpuQESnx8xI6WoYXLe7BijLisYZcHkqyocMAbF/l2t+Kq7cQEXtvY0y/TVOZuGFRQiMu1sM7jAHz4v2WESQOSR7TVjUjr0flbci47yPPCt32XMOYIkNeZxxKDfdeIYcKTgTZ2PmUU0MnVXwXqnaBKcr9PQEefIetU9khWUdGZNnTI59DJyPFs+18IHWZ07qxO3GMSRP7Csq59BUcaXL4kzW6zE61sEYtWPHAa/eeLNAryO9bkl5h2oi1ua8zkBSnZqeNN5xFNdcuROiO5QioeB9Z9ON0AbHcQWPNuZsXVYj26HmkISrCAtv7sEx5YJDti704AZOWBGco08VnXQ2iM+xnPMVIuYAdWIJDLWsyGjZgFyvmK/D6EftUcmW2kBFJxvUxeLgvnZeOqQkDvQWzYQyjR4NFhuLUcDPhgEnHvWZrA1JrwtkLRsbERvLjelA9nauVrQsdG2bGgngTFaw0g21BKbMBUXLmFDn35WlBtJcNJqb/LrjPmpkgnsP0rGLI73aYNiJYWaimJnrgLCV2xxiwyFaGgHAMlh3f+Edi+ioYuBCr1Axa4OTMBsYAAI1i2DFfeUNLByzYxeVPisxZ/buij5t6ZONWEPVMuZEEF/KvlzO/+t3MWeDXDs8lQRWleOkMkNHzIYlWYSMF6XrKlSF+13L5egQPOt6ZFmP3IqBk6Ynq5Bf/1uRJ59EnjnDiSLP3kVvneJP69kp/ooulYcdtpdhuV/+W55/PfPMM7zvfe/jP/2n//TAx8P1cD1cD9fD9XA9XA/XtBRIyT3vxwt23j7M+qVf+iXe8Y53cPv2bRaLBZ/yKZ/Cj//4j1//PlX+5J/8k7zqVa9isVjwpje9iZ/+6Z9+4DHu37/P29/+do6Ojjg5OeErvuIr2G63H+2f+jFdL9kl+p73vIcv+7Iv4yd/8ifnXYKUcZ+IkNIrHnrxq2/tOlKy/skk0p/a/b3N/QxSKkKrLb0ccQgXDPFqFrxnPTDGESeN5XGSGFI2cbFkulxzNVpItKpy6a6Io40kXYmROqkqjmpPENhHY8A5PGPcIFk4uAvrKuFJWdlFE4k7MYZQJdCIsbgaJziBHQfO/V1UE12+sNFq7meY5Ry/NMXTQBmzWDaoEz+bCJJaBwIoaInIlOE5PZaKI5fuRKCh1hqnFr8yuAOD35FyjTLY71YxTdVscihPYf4/15DXXDISoXSLXI0UBprkMh4qYu0xWxdk768Y0gkL74jZQtC9CCtdkuSUg7sqmrcOL1U5N+LNZ1DWczpuOSK+vEZqvLQxK0SLzLn0UqhcsI1KVNMHmYjd4zE0ReOFqoziKgdHFQy55rB7lNF1TAH2mUyflDEnega8+mIkseN1H+E89lzI0/TpAieBMe15bnarwxPpCvZhKAaOCi+BQUeCeg65ou8DoUrQj8h+j+4HKm+vSQiRmFu6VHExVmyjvW9XMXBcjax84lYVODTCbnR4ZzFIda4ZZrPIhGGxGKAh79i6C7wE+gIDTi6VcySRGY35h433RrX+U411Go9CxWU8LWHwEwhZjIFYRtXr4Dgq7LhFFckq7GNgn4SrQYleOCRlGyO9GBQ1MjLIgaQniCqJRBSDG0ftySWmbdKnXkNxTR7hnCdnZjG/SRtGJkizinXuHbDSI9QpnW7t/Slj3aypdHUOXMdQyTUHrfy1UPhsYmpEC7uvEBkfOH5FJz1mZEx7urylkgbEeH+tNjimXM6apbZ4sSTfUSNJ+wLczrOZwKnl/E5j4smMNT1/yyUdrcMvI6GEywvCmBdE0vy4ox7Y+gvOhw2Vr+ZjfBmsI70IsAqeMArarbliZ3xBNYxHLsDmWi0+rbCqGbJjl+wa3OVoudG6KxmuNrkY/I4dA6SaoRg9dB7dyzwViKknBxvhN07Y1NZdi87Gr5UoY3bc37eETnmqazgkR3BKTIILymnTs2pGUulkyeWW/AtnnLQt+cf/f8jpMZqyXVde6aWQ88szEj07O+PzPu/z+J2/83fyL/7Fv+CRRx7hp3/6pzk9PZ2/5y/+xb/IX/trf42/+3f/Lq973ev4hm/4Bt785jfzEz/xEzPN4u1vfztPPvkkP/iDP8g4jnz5l385X/VVX8V3fdd3faR/5cd8veSC7Q//4T/MJ33SJ/F//p//J4899thLhJf+Olx90VUIs5ZNnzyn7yuiOsYsDOUe5xBGGRhloM0LhJpGKlpd0rgj+nBZmGwdOQ9ojuAdTit62XEZR6Pq4zjkAUa4KnT3g1wBEEJL49Ys84JN5eexHVgxFryw1oDGFVt/jIZMzYJBE+d9YExC5csNv9z4RxX6bDe1g+zYpXvEvJ9djZO4Hpj1ahOIEqZSRWb9SWSgy5GLwdGl6eY8GoCUMOs8pBgxlEzUgSANTh0LGqoc2Lm1AU7dQMpgkNHye6eUg5u7txsO0fJNZE1E7UoeqN3oZPrfMsadxkRJhT5fsdWeOnkuRmdaQlWD0OYlOOhkW0KyC11ee6td59/vSzF7ra0zAbdp2qIMbFOk15E6h/IeODx2k9uN5kILrsVrjcfPQ+0w8YHL/18G5dFWOMQF3fAYl+7+9KezTcZxixJZqF3EksIuwsVgm4A+XtCNF8b0KiPeiVQfsZxY20ZEcgmnr9wCT02UyKiRywHu7hY2kv+Fc3w3kp7a412L5VU6+hy4Gj1ng2dX3sKzwRNEOapGTurEZQw0wV6H4WbOjV4zwbyr7T3Ne/ZyNqd0TMWKjakN5Jp0IDob6fU5EcRRe08QoQ7C7XTEwCNs5WwWo6taXmQQaIqOqfGRlIVdqjkbKnYRrsZMV27ml3qgK9m7qOWg7rTDq2fv9nR6SR8viPFAVssBdS6QZMBJTZZonL48mkFGrOhOOpBTxEnAOztORe3orV1glRbknEkukujJU7IH9lg5W+FlBWI9j0FvwqVVI1kzWWzjMBsDcoYb5zhl0561p4tn5LChcRuSJtO/ao2wIWigdp6smUEjO7ezUa5eu029CwXCew2szXmwQpOI5mS60rSbx/PJD9SypJKWbVrSSTc/bs6RQz7nWTZwOKbxjsoJm+BKsQbZmxmsixV9rLGjzFFphWBj6SbXVF7IasXUVXRcjLCLI52OJBJ93pIKf05JJO248hf02jLIMB8D0/EqYGBgHYnazak1TTmPA9AU3do2eu4NgazCM70nKXjnuBorFlVkszCNY11n3M/8LPq+93PvvcK67fnA/7fh43kP8e7A+EIZUR/TJR9RJ+351l/4C3+B17zmNfydv/N35s+97nWvm/+/qvJt3/ZtfP3Xfz2///f/fgD+3t/7ezz22GN83/d9H1/yJV/CT/7kT/L93//9/NiP/RhvfOMbAfjrf/2v83t+z+/hL/2lv8QTTzzxsjzXl3u95ILtZ3/2Z/ne7/1efstv+S0fi+fza265H/5RiIpue+SkhTFx+C8HtuMpXSp27xuCZosgMqxGUG+RI1qzlGNi2DPkHXlMZN3PVnrVcsFxDaP0BK3Yui17HDvOANNJVX5NxZoFx7QSaLzdWPqpYHMmwJ7aSvt0myA1rS4ZNXG/j2xHoS3u0FWAfUE7XI6wLYHffTStnDJaR4Nc0geud+iqE0bjwYQC1czAnkvZMowtjBDwHKQjEamkYeBGyDQWQROlBzEEiBOhJrBgQ++3qGa60fRQSHr+HdsUuj53EgJgIdoxHQqI1GjsWkTdQkPwrWETVHAEBt2zdZeE6BlznvVTgpiNXxtGuvlGYoR3A+QKYe6eqErRomUzQhT8SdSePl9xV+6TZKCiJcY1Es2CklHrtsrAAoOvSpbyXEo3UO19L54JTiulXzh2cUPOdvP1eLayI0myzo06YqaEoyt3+569nBd9YmdaIx2gaIpEPCl1jHJgVOuwKpkwQVFZFNVU5nyED+wXHJKn/X8j7WrL2HtQwYlyGCq20XN/CNwfhEMyo8XZKFTOs6lGFi6xDJ6mmGeyKlHifJyY/qrGuwbVzKjDXFhOyQDmPIx4Z3qolHtG15E5IqptFiaQ6yIIt6mI3R2y2DERNBBVOSQ1c0YAj5KzcFmKtaf7wLbcxBNwyZbO7RmlxxVd5JB3XHo7bzu95JDO6MYLw5JoIskBpWGUrhzvHq8WgRXK35c1WeHCSBYT7DdF55Wx93/hAzG17DHXcCqPYZua6XULOLewQm0+cQqOB0g3bu7e1UV7GRBRZr2qSNnUGP5ijDsEx+B2dFKDrnE4ltpSicOL0OXMzu3Ycsaoh/m8m1A+tV/N+BglM+ZDMTYlzC3q0JgMW5ITYzjQ+I3FUjnPKD0xXbvHu3zBfe+IRI7HI45Dze3WUTv7K+qySV0Fz0UMpaPpCARqrViKXVNrsTJ1VDgb4H6nXBZTTmS0Dm65HqoqKY9cuKfxEqhkWTb3rjhwq3Js2t856IGByFDqZVUzG1WiRIWLMXA2WgNgF2EdYC/C/TGwGQOnmwNdV9E0keGf/D/c/4UF73nmET7j0fv88NOnfNoPbbm96hj1eRBIH+OlaiPR5/+aMI4jl5eXD3y+aRqapvmQ7/8n/+Sf8OY3v5m3ve1t/NAP/RCvfvWr+R//x/+Rr/zKrwSMFfvUU0/xpje9af6Z4+NjPvuzP5t3v/vdfMmXfAnvfve7OTk5mYs1gDe96U045/j3//7f80Vf9EUvx5/9sq+XrGH7Xb/rd/He9773Y/FcHq6H6+F6uB6uh+vh+nW2rPiX5/1Q4J/+03/K8fHxAx/f8i3f8ryP9bM/+7P87//7/84nfuIn8gM/8AP8kT/yR/hjf+yP8Xf/7t8F4KmnngLgsccee+DnHnvssflrTz31FI8++ugDXw8hcOvWrfl7fjWul9xh+9t/+2/zZV/2Zbzvfe/jkz/5k6kmpEVZv+/3/b6X7cn9WljPfv+Wfgjsh5plZS3pw3jMeVfTZUcXYUzFkVd2sIPuCFLRE/BqQd5LXZP9oxzknCHty4gBpizBIV1x7hKVNGRpgQNRO3rdmVXeHbP2d6i1ZZ2PqINtGaNyPZIt+ptFsC7TmNcsc2tATiLP6gUhBlap5TTXgGPMlpF3NSbupx2dXFnIed4aX801pWNVl/K/dNQmfQsPhkurKJ1eoaJcCiQGAg2hYCYqWczcpmsch9qI2Cm5jGscsNAVgztFgjNobxofcIjKjfxRpp8qHUYh4L39zqg9mhTvqnmc4UonqfYrG0vdGP90bDl3jnMyCCzzmqXY6ygqJBcZi/tOnnOKGVLBoZhrzlhMsbw+mRg7On9Bdgbt9FIz+BOi9sW15ueA9k0+wZe/scuRPnuGZLmOCw9BYcjCcWUuy/MhMB7WDNlGqlt3gYplHTqkRDUJ94eBZ+U+Xb4ortBhxrU435jWD8eYO/p8dd3BwlGHNQt3QptXFpaO43JI/MLes00t+3SH2mVWIbKpB1SF7VhxOXruD8L5YGNZXxxyXhy36kCQTMB0emMZYQ7O9GjOVXi3xvuGKqwY4hUpDYxzd826MNaFE6qwIqaOmHsGDmQyB+moWeOd6RIrB7cbARq6wymjjDTUDDmzi7DwnsbBoMJVtOd/b/A8dYCLIXHJgYMc2HPfkDST61gcMe+54IOFwTcw5s4cthO8VgdyxjI59Trj0rphNYKYY1cnVmAqekk71kZNKIFKhEqsWyQIA9h5pdlindjgXLCuJHbs3VwTU3HSXE26UClQXymIi5vasly6rTEf6PMW5zyd3gKgkYrKmVuyk54tZ+zyPeLUSVOdu9vBLchqY/aUR3O0zozH6brg0Rzt/R0NLVT5FclfR+/NrtJ0sGxY3xHdq6jTo+QcyK50pCma3SA04o1lh+LVs5CKlE9YVRXemUt7KNmh9/qBK3duDELtSZOWV0KR8mYO8T6qmWV1B0+Yc2S9a2x8Tya4hqQDnXTs4oIuBcZsHTYB9tHzbC88c1D2MVnkmvOkaNe5o9DwyLhn29fkLPzYLzzKVfT85AW8erHifWeRs2HNG45aDvwKCOtVSPmFO2xvfetb54JrWs/XXQPIOfPGN76Rb/7mbwaME/u+972P7/iO7+DLvuzLXt7n/atsveSC7d3vfjf/7t/9O/7Fv/gXH/K134img3d94HF2yU5gJ6aHOC5AxV1ydNnyHw2hYJbzjFnRXWm3Ayy0RbKAg527y4CbZeqqmSHtGdKeNhyZJkWnZIGIhCNa1pykUxauwjkrVfoMg8KQdK5jnNwcjQbG7BlS5n6MXMpdVJQ9x7jxFlErsioXcWAne7b+nH64IOXuhlg54aTFiSfm51jWS4am6cDc/LcYxPVQYLs9TViz8LeppKXGkgxSjg/Y4LOaTmqQgZhbvNiIRfMtcLB3d4l5byVxAcgyYz4eTEIQEbthTeMlIjGb3iWpCYOnYm0ikE9r0kLtuW/ja5ToH4N0SkUgSza0h3aGInGBlE0MKOLxvjFEApmUPFG3MAVuS0YZGdKOmPryfnl6vyOmw0yJX7oTapYcieV+btNAz0CXKvrkGLLOxo6ssAnCJmRuNZ4hN3QxcR4po1ulLXmYu5QgwbNylwt9mj5dlQK2YBxchXc1wS3sBp86+nTFBGUNvmHpbrHJpyy0JeBxYoXgk3vhYnQ8tQ8ED4+1Fb9pZc/x2b7i/uA4H0z75URovaUDZBXu1IF1SHPJnBUOOtDp1pAmYUPlFzipaNyaEcN25DySssFe7eDzNNUJTTiaC7let/QyzPqiINAnM1Ad11YgXo4LhlTjnaPLCVWIhUezi44hOZ7phbMBnj2M7PLAlTcQa5cvZl7dtMZ8uFFwWf4FgLhgqIyS65m1Iyczx3hXGUDXr+fjx3RfcZYleKlJEtnLgVWuabxdQ+xYMAaYEfsDi8qKqCCNFRslM3Ua5c/JBvaPsmky/ayNlIUmbIopIMzFVUx+NgXEdGAgcOW2JtgvuJIuJXZyxT6f08dL+36RG4J8CFITJdwwSAxo7ssGMRSTWzm/yWjuiSQbj6bdLD0I0pTnPjLmPUkHpAqs2NDl1vSC5dLgZRqPetq4IEos41nPiS44qj21Mw3jLlqxdlfsfc7YeZ/ziHMVYU6IyPTjJUqi8gtaf0rj7XWr3YqoPR3QhhM7NqTnKg6cD3Zrrr1tCnbRirWn+54te47TklVw9CKMCTYhcHu75GKo+IXdkh98CmrJ/GK84H0Xt/iZ/H6evjxmzKfzOP6VXB+WwwZUVcXR0dGLeqxXvepVvOENb3jgc69//ev53u/9XgAef9zAwE8//TSvetWr5u95+umn+bRP+7T5e5555pkHHiPGyP379+ef/9W4XnLB9j/9T/8T73jHO/iGb/iGD2k5/kZc//qZHb0MiAqjjDwqJ7xqWZV4J4v9GXK2YGA1zhACWSOdbAkSaLRh6QJeHb32s4BYJTJ1rFLqURK9GENpChD2rsITWOY1j9YLlpWjS5khmTg9o2S1G0+FCWYrAeeh8UJW4XIQzqLQ6RUxHxjcHieO/bgynYm7y6AHckoMact1moHphiq/LKL0kZlGLgHnW4JbGgj0hhYmJtuJxrQ3DpRGarehlgU1DT114U1dO9iyJtuBuq2FZ2tN6wKiS6KOXPoFfbyYXaCTiNpuPB+q2RCxgg2xG8uYd0SN5JxwzluQtbOCrdYltRpbL4rFI13psxziOUnH2b1X0zDQM+ihvBa56L1q60ZKKHFOdjEfi9MtpQgkpHT+VJWkfSkqEi5tZwdmFXrqekUNtN5TO3OqRYns0kg1mj7IYo1MD3ZcOU7ryGmtjCpsx8A+la5e6VZEEjEnBhk550n6eMGY9lyDVe39nphYKQ+MuifGQyl+F3hpWXHKRldU4gjO4cT0dRfjwP0RkmaCOHZjSy01wSlPdZ6LAS6HzCHl4mZ2HGJiTCawHrLMDK0hK3u3J2pH69Zs/GPW/Svnyk6enTVRWU1cLwjijG3WuCNG2TOyY8y7mbTvsA3NkDNZHQunrBrlXhPokqdPmd04kDTTpcAu2fnTZ/jgLrGLI8/KOaPr2Oa7DOmKIe2pXIv31iGjdFHNoalFy1QTJv1ZTqWTZJ1107RtURp77Z9zHM8RZ2VDknRk767Yp2UxYBQhY+k2AjRuU47rlkobLuTpmbVXfO1FOztBsItju3AWFYtpasLxzOIb9GB/m19wE0IdGdlxRpQVq7wwd7oO7OWCLp4xxh0geN/MP6M6FaPlv5rQ0rH2UlMFg+ia+WES+FuBmXRPynZ+e9fiQz1r/ibn/UFqLupjLvoNXTBn6ZDMLQpmzlpJzV5NN1o7g/GeVNZ53QGHmLnHJec8Q5cv7LWfzvkb15Yx7uZiM+UB7wOVv0VwS2pZELXDSc2JvIooI0kjF+6S+31j5hdvBqizHp7pe+4WLqLLH8dqrHDA3hlkt/YLdtHxM1fwn+KPsvS3udKn+b/vfxb34s9yJgG2n8K5/tKHXA9fiZVeoGB7qZ7Vz/u8z+OnfuqnHvjcf/kv/2WOxHzd617H448/zrve9a65QLu8vOTf//t/zx/5I38EgM/5nM/h/Pyc97znPXzGZ3wGAP/yX/5Lcs589md/9kt8Rq/ceskF27179/jqr/7qh8Xaw/VwPVwP18P1cD1cv+zSDzMSfalZol/91V/N537u5/LN3/zN/Hf/3X/Hj/7oj/Kd3/mdfOd3fidgE5Q//sf/ON/0Td/EJ37iJ85YjyeeeIIv/MIvBKwj9wVf8AV85Vd+Jd/xHd/BOI68853v5Eu+5Et+1TpE4SMo2P7AH/gD/Kt/9a/4zb/5N38sns+vufWf04+gmgm+YYwHLurX0O9+C4+nhnUldMl4WkM2CvfNTkDUjkE6aq2pnIM8sZ5aXNGEOalvaKsGYnSoM11H1oPZzyXQaM2txmzqV6PjXoxcpcSomYDlS45JkYl9BTMRvy/cnqj9TOgmwM4t2eV7Jb8wWzhznrpeHkQIrqUOawTPmPbEnBDJOL+mCivqsJk1N5M+Zaaslw5Oyl3pVHlELYjdYVoiKfymyfo+6I7OralyoHIOl4WglXV43HXChCt5jNYgGOeR4+SzcSVLtHYLeoSYDpbWQETV4V1F645odU2bW5bS4rFx3JYDezmbu4R7uY9UwWKaGBjzzkYvOLxUJNdaGgPVnBU6IU6M2XRAAe831MFGXlF7crJuS07pejwVhVh1qGxs3FWugVkSBzp8cuy1I4xrsjrGrKyCp/WOhVdOKtNGVs4TaGbq+yAjowzs5JJDf5+YDyWGquSjihS+Wo2TGnXTqLpDc03lV9RuxVHesPDBugPO4Rx0ES5i5Myds5V7eAJ59wk0fkHj4G6n1r1KiaiZrIZX6VIiojx9cPTJgse6lOlTZqQDzbS6ZJGXeByRxN7tTe+Fm12L0zhXpJ47G8E1xHSwLF1/VcZ69v72OReJg3JcJe60jn0U7veONNrf3cXMWe/NvddHfjGd0cuBS316livE3JdsVSGwwCuFWXgg5352CtZhTfBNYYtZ9/wa73NA80hWteNIB6Cez6Wb7QnVyMBA1I6dbAjJkUrXKhRMhZeWldzmdrpD68w9epDt3GHTMja1rnQGfOERClo6wTmPON8QpLWuuC7xbjdf25x6Ox7zOaP2HPIF6hJ72TDkwKWzUfEY9yXho76WWMh1Nz3nKe5s+pppJNfVowy6xxPKSPG8XA+HWW85pTUkrZm4jpqNUzfELXt/j7s8RpusS9XFwLryJhkRYeEDk7onOOG4Fo4KGy2rYYgu5S5dOmNIu/L666x/DWIdtoGr8nrGWd+20A0rjqhTwygjS3fCHb1DzIlLd8VBrrg/bmjEovMOUbhXUkeu9FlDC/kjLkbLefWASE2XPUOGH+1/mrPDz7INzxLTnv+8/An2g43/3l8NHMb7H/ae9rFYk+nghb72UtZnfuZn8o/+0T/i677u6/jGb/xGXve61/Ft3/ZtvP3tb5+/52u/9mvZ7XZ81Vd9Fefn5/zX//V/zfd///fPDDaAv//3/z7vfOc7+V2/63fhnOOLv/iL+Wt/7a99BH/dK7decsH2SZ/0SXzd130dP/zDP8ynfMqnfIjp4I/9sT/2sj25X43rve/9v7kJQV0t7s/IgJj2fOZnZlwdoPsEHtOGPmV6TfRlVGhCdF9E/zs62bKQlX1NlSxK7RY01REx9xb9g2m40OkGGWeNyRRn5HE03sTmfUGJXOWOXnpabamy6T0yjmUwuGrt7PuMqGSxUCkNJAZDCEhDHy2v00mFC1O+4II5YN4vady6CJkrJJvlvqmOWYU71G5tI40bmYaTbmc2FajFGmUSqSAKuHEzMrG4AXT7vKXzKzasy9fAZWevWThizIf5Ap1y/wCW4HqZ5soh1LJCJTO4bQmvjyhVKYIXtLllQcOi5Ic6ERjhXGwMrJoY446D3Gd0u6LtMv2ZF9N8NWHDmKuCP3CF+eZIMhDcguRMS7ZqHmHpb5FJdOmCLp8XnMYUA2RIg6g90Y10OeOTRXoZ6qMnaaJzO6oUyNrQa2LROdbBcbvONF6LGF2o82IeeY0ysJcrtumZGdmSc18KXcM2CMFuyuLJau+J5mueXCtrWjGxu3dC7e0Dip6TS3bj0wB8sA6Eq9ew8IGLOMwIELAMUqjoNbGTPf4Ah1hTOWEfsyFMRAluySZvOAk1XoSrONJrj5MK4z5lptxLweFdPQvkp8gjO6Yui54oM5TN1ZiVQYXglONKCSJsx8JSJLJLidQpQ1ae0XOe1p9BNdHFczTbhso5y7E1bpiZaEwrmYphp6apjlmEW9SyLFgZJTHQ5y1D3NLHXDZrkZQ7xnTAu8gEKhfxJh9QvTbraGQbNoQU5uM9aEUlDZU03Mq3uV03NM4RVQnj9TXcxo83wNOlUBcCWUYrfsu41KLiWtrC8FvoglYbGrHnc8aG++5JK2r0wEF2ZMns9B59vCgFlm3wJu2aE08uGaCpjLO14IGca1iEE07lCaLY9bRja4iZ3DOkPWO8QrUzDWDuibGycesNWUTWnn28z7P1L9GyxhFoY8uQVyyCYUdq52iyJ2nGYwiX1inbbEHvlxw45AvTm8YbfMJyjk8GkHnDU67hSqLRhlYbWheMcacbbtW1xaMNsHfnnLsLWm2R3kxb9/SSc5406Ubq2fsLzlxdkDyermu51wdGTZy/N/H/9j9PP55zvHwt/8/wzwDoh6dZtK+m9ivOtu97nuvix3a94Ej0I+D4vvWtb+Wtb33rC35dRPjGb/xGvvEbv/EFv+fWrVu/qiG5z7c+Ipfoer3mh37oh/ihH/qhB74mIi9LwfY3/+bf5Fu/9Vt56qmn+NRP/VT++l//63zWZ33WC37/93zP9/AN3/ANvP/97+cTP/ET+Qt/4S/we37P75m/rqr8qT/1p/hbf+tvcX5+zud93ufNtuCPdu27XwSuNR7DeMaF/CJV1dIMryZjNO9eekJ5uQ1PGUg6MnIgEhlSotdElkglSxbhlhUyKFkHKz7wRctxDan1UpXHsnj0KTN0zImt2zLInqSJJhvIt1Fl7wOLYPmUoxp3q3OH6b5L1p40doxi4FqRugjeGyTYSTddTCu/JtCQJRJcQ3Yj4jyrcIdTeYIq10Qi0VuOYtT+Q2AyqslcXH40Ifwkwkbmm60TbxqZPDC4Q9G1KUlNYL/khBwSMXeziHoCgwLlcQAstHyip9fakmQk+IYhOia6eqCi0oaKgBMpoFRH7YVDCix0U5x53ojr4wXR1XPnLLgG71sjOYUFla5J2s0dQ4c3x1hYMYXdn/qP5yTfZpSR+96T8mCdgzko2robMR0YZMs5O3Jc0ElHYmDgwOh6hrzFu0DOx3TS4XtYhJZlEJJap0pEaHOLK1yzyEifr4oI/HDdncLNrC7nggm4J6CpXDuABSFoQ3B205oSAWoHBMfVYO7AqD0pDVzIL/D+EFnkDdGPOPUEaoIGeiDnlpHI3l0x6EA3HLF0NaOaoadmQaDhJNScNIGsSpc9ku3cskSAOG8KTIReNGTa2RnoGsZ8YNQDqKOTnn2s6RnpUsMuOvrkWHjTtDmR2cyxzT1XWeml51neP3cwrOhPRT85bRxGYjLH4nXH0uNdy7p6lDWPUBcA8pRCcXBbrqpnrdMpJZ0h9+bQ1sp4ZRJwUu52mhmLdjLpwMFd4F1goWsCnkZrlnJCoOI0NJzMpgnmn586U899zZw0RaNq7EJzWqt1jMQVmPWCIxZs6op1ZVmwyz4w5IFejK914IpB9/TJIMHW/SzA6JIbSnmNBtVSrNlr6WRJCC0Lf4vTfIwDoio7WeJ8ILqOg7tA1WDNk/4t6wGnhTF3gxc3xj1X/in20uKlonZLRr3DrXHDprK82spJ+dkpBN42w7uYuXLnjEPJ1i2bcfQatG3XnDwbKrSYKpKOiAqtC2yCfV/lhE1txqSYG+7lll52ZeOcGOm54tm5M5Z0NN1cuY56CVyW8zBKz48PP0A/3kPzwOXhF0jpEpHK3LnDs/Ryziu9FMgvEzj318L6D//hP/A93/M9fO3Xfi2np6d8/dd/Pd/0Td/0UT/uSy7Yfu7nfu6j/qUfbn33d383X/M1X8N3fMd38Nmf/dl827d9G29+85v5qZ/6qQ/hpgD8yI/8CF/6pV/Kt3zLt/DWt76V7/qu7+ILv/AL+Q//4T/wyZ/8ycCLi6n4SNdM1i+745x7uvGcC/8U9+WYWit6GRjFTtQkyfAMarvvUXtG13PIo0WXYC3zRlYgmY4tnV4h7grJUhABZccpTRml2K5/isPpsoXM927HqHtUlK3WVLli1IowynwD6iKcDyP7kpQAFCOAjVycM1RC5RY0boP3FV4aunzJkK+o3cpgo4oZDCobuxzLq7itxwD0mujkmN558ofEojhQNQyAbtECvrXhSiCWG5IrTrgJ/gnQZ+ueeBybfEwlDb070LNjp88WF1584HeJhDKCWuBvFNCudMPIgvc1XmpC6ShBKfjKvcoL1LnG+xaf6jJO3ZVOZI33DcEZqkRwLNwxDs8u37fiAEqXNdDKkrbeEGh4XB/ntK45pEzUkSEcUJR+BJWRlAx6OqYdnau4759i5BZ7sTisQY2mP+Yd4o0I2mGj6EUXOK4DAhzKS7KUFpcdnTswSMeQ94xxX1AjWo4z5mPAxozmqs06RSjVcxFaaVUMNUpS21HbiAm8E5yWG5kmuvGCmHu2fmHdTFlRuzUVDVEGoloHtdNLc9r5HSf5DoAVBtkKkXXjWQY4JCEVmO70PiuddbKgdN2sMEUPKAnnalweSXlEOHDwO65STS89+7jkfHAcBU/lrKQuR5AZItyenVwy6p5t/zRjugT8jdFeM3dg5+JGKZ1o61A3YcOpPsFaV3gxocSEwdnmxt4/f05MW0sWKEkCOVnHu3IN4mUursd0sHFi6hn8FQcfzHmtNQupIJ9QS7C4Omcbti6a+3oS/E+h7lakNwge701qYP+edlvCoHtzlsqCWis2VcVJ7dkUcX7jA+eXJ2yduf8SA326KJuCjmvntsVQuVJQ55yAODtgvWtpwpG5W3XD2gfa4BlTJkQhpEAvvTmyQ0/OiZRS6W5GsiR7rFIkW7dzpB8vQbbmxHYN0XfAx9HkU4LT4qSfgOewi2LmmDiy4z5j7ubECHu9HOIKOJxsuKAyBRGxUnzUnizWnVxWjiDQBgt4V+AkBza7E878s4x0jNKxz+fFoGEms1y6+uptdO0kFDe0JUH04zmah3I/OpTu4vU048Fr4iuzVD+c6eDXXyH3VV/1VXzRF30RX/RFX8Q//sf/mH/5L//ly/K4H3H4+3PXk08+yV/8i3/xo36cv/JX/gpf+ZVfyZd/+Zfzhje8ge/4ju9guVzyf/1f/9fzfv9f/at/lS/4gi/gT/yJP8HrX/96/uyf/bP89t/+2/kbf+NvANZduxlT8dt+22/j7/29v8cHP/hBvu/7vu+jfr4P18P1cD1cD9fD9XB9uCUkdc/78RFMRH/Vr7Zt+d/+t/+Nb/3Wb+UrvuIr5pH/R7s+oizR51s///M/z4/+6I/ytV/7tR/xkxmGgfe85z183dd93fw55xxvetObePe73/28P/Pud7+br/mar3ngc29+85vnYuzFxFQ83+r7nr7v538/NzbjuWuOUlIl5R1dPOOsfppWbHcZpcfhZgDrNSdr4MAVzlmGZqBikZfU5a255xxR+rKzLeJZbLwnUgCWYpmEd7sFjXdkVXayZ9TORjSS2YkJxnutYVwz5ECXHIeUuaeX9HrFdaRK4W5JIPg1q3CH4JasOWWZ1yxouJQtZ/6DVIVRFqShdWtgTcOaW3rCcVUzGgGUtVqM0iAHsnK9oy844ZgODOkKnPGkAItwUetcOqkLZ6102chFX+KoJLBwgTHXHPKCMwc7uTcjAZhfL4d3LW04oRaL47HughKkJfiFIUpcIEjh4lFikKYwdoyrl8kEaUyDlk0gjSrqvaE73KLw2zJL3dDmBXi4TE/b85KEl5o1t1nmJStpebxt2NTC1SDsD0f07hEkWFdrTHsSByCT8kA3nltkV+gM+SGBqDZOniJ98DDkA9GNVKlmczjBCXTJxlCVOJIGenUkbNSadZhHYjDhT5Y0fmNmkTySy6hWiulEnImjBaHPiSR2rA4oQxKS2mvoCcb9kqGMkTvGuMP7FkImkxmltrG2jOXxtqZP0j3ihVbXVLJmIYHaORZlRD8k5ZBHRjfpiQrSpZwnItb9iumAOutMBLecDT1jOrD198A5EgPbtOJ+52idY11ZxFwuurGsedb7jZNuKkeLRYNibrDXhSxmrEk9znlCaAliwNRV9QjHumFZRmNB7Cz3TnCjMOoR537J4CaNa5pZaOKMe6daFZ7hWGQApnMc0wGRwNKdstQlyyrQqic4KTgf2I2Zs9gT/bXOSsvo0PmWKtjv9VKX16ul8kvT6+YCyJWRpIlASxscq5LNWTvT/d2uGq7Sowz07PQeQ9obxzFH4yTO+rUJhputM6YDlitaUfs1m/AqEgNtbqkrxyoIo3NkKqrs6bMZMUZ/IFeJbtJgTn+VGiKp8svZUDMZFQwcXpGrhFSBdVwZv610ZxPKIRoi514XOZcL0+DlkQmDAjb6FKNhE9U4kwBOGsRZhzdpR+c6Bl0SpJqzTKde3irAqVux1UtG6enyJYd4r2jzIqJ2PYj5YIaM0i1LeWDSHaqO8/1oNitNmkTN1/eqV3ApEF/IdPDrsGJbLAzT85mf+Zn87t/9u2ecyEe7XnLBdnb2IHQvpcTP/uzP8pM/+ZN8+7d/+0f1ZO7evUtK6XkjJf7zf/7Pz/szTz311C8bQTF97oW+5/nWt3zLt/Bn/syfecl/gwJoJCZjMWUX8dKgmghUhfdUhM94kvb0+RIcVNLS5mNWUrMMpsvZpZatfGgjdB7jlbfwIFc8rUIVrdjZuQs0xxLQbRdkLxW9axh0YJEW1LFiLwfO5CmGvC8FjpZiTfBuQVudsPaP0uqSdV5zEhpWwbMcK9NXaEeSaE5Nbs3Fx3Go7GYaHS47lrklEmcn3CS8Zk5BGEzs7vMMB5VCVYfr4GnLhkz0YlympS5Y+sBR5Rmzw4+OKya36A0tXEljaMKGjTxCqyt6OZAlkTTiJVgGZrk51pS8SewC12fBJbto7/LA4Aa8Biq/sItntBQHE7dXBGnn96bODSupGfKGQ9GPZBKVLDlNJzzatGwqV0CtpvVYDhXH6RbinBVlOprIX8tP544uxyJkzlR+MQurk47kwlkzbWDHfR94sltQ4uepnC/jPUEL7NdGOMP1+1IE58EvqNzKgMBlhJh0NA2fr4vx5AgUOh0JaqaEpIE6CUOyZAIceN8SdGSMpi9Kas7csYwsR3am3fMDnlA0W1Yg9rKklpbWOzaVpyo5kH2ynNut2zLSlVG42jiKKS+zIqWekR25JEVYwVayR3NHly4K9tCxlRUMINKyiXb+9dkK3SiRQQ/08dJGU/l6YzeN3Sq/JKsx/VK28ZxQ0QY7n5L2HPEIa2+FZ0bN9QxU3mDDTaxZuGNiODAmT8x7curQMi50Mo2g03zumsvZ6P9j3BGbgYrAwrsbwGyj9N8fBu67eyTt5+M25VBkA8c04Yhcrh05R3ywwslLxT7dIzIaMLfk0dZeCM5G4ACtV04az+3dMVfasXcXJXWiL6+H57lDnpzjDeMD5tYOp9zSxznIjgXNdMmgcsKi6EqrKAxxRe9OIRjnMqZufv6qaqzEsMYlT1+K7xQtTB7p6Ue7VpxVp9TxjjmpRYhZuRjhfh95Nl1xxgcZUrle3gRyz2anoThdR0R8cdFLKbAyvew45DXQEopkoC/Ry0FgXXlWw8Z4bxrNCJYO5TqWyuuUUIa5sJ1YieKmdIDnsCdnHt/zfO0VWi88+vz1NxL9pm/6JmKMhBD4iq/4Cm7fvv2yPO5LLtj+0T/6R8/7+T/35/4c3/d938f/8D/8Dx/1k/rVsL7u677ugc7d5eUlr3nNa37Zn7tOJ0h04zlU0MjKdqWFKm66qKpoXPJMzHc+UGnFIngW3tGX7tRzdVjTblTE3JSqiVEPDCVyxByr3SyyTnmgc3aBFzydXLKXBgTT0KUd15BK63g5MUF8647Z5BNWLFiGwHHtOaqFRQjst8ecOVAO1Nqy0JZboWVVeSon5Z5vRVMlroiqc3HKxblYk6L9mTpohvW4Rl/ARD6/ds12sgfgSNdsgmddCTELh5RN71MeWaQ2nTRQhQ3LcJtb+Q6tBC7Us+MSyDg8rVtzW19NutFhMk0U5tCNSs/I1m3puCzPy4CmtkpslhiWZAoS93gq51mmBVd+zZAtsL6i4bRqeNXCcavR0v2ym17jhWNdQIa9u2B0e0ap7TWlQhlJ+UAfr5MgpiLXbtjKwI6YSrGH46nQkkms8jHHeVNK4cxAT6/mdpve/9kcIabHq0p02Cj7OUBcXEPtNyUSbVnel840lVozpAxDzSFHthicNlCBt6I4Dfu5uEg6oinfINunchwfigx/NI2eQOsd68rOhF004O5Z7Ng6CxK/jhEzLZt3S7xURLYPuIYz0TopLjGmPX2yLrOTiksX6GRH7u9wMVS03pMUesai99sxxh0p78qh5oub0hIJgl9Yx4s4o3Aqv+TEvZpH02MkMgtXzegTw/k8eA0RhCW3yJXS+Qu6AYbcF5dmxLCucsN/PiE5UnGVjwZmLcVUU7T3h6ScD5F7cs5O75nJRhqCtwQL7xqW1R0W7oRDPidqj3cWF3Wqj7HILRduzSXP2vmo12VXyqaNywi1s47RraYh9+AJpXuvxSV7HVk3gYKngtPc9LZhWMttTljR5Jqlr8jZ0iiq2YVsj9OmwEqPaGSB1IE+XzLELWPal+6Xt41UqGfjTJSDudcLWLcb4dz/ErW0LNPCXM/q6VPkqXzGXT7AId4npa4UaxMqqBgmyuOm3FuH0Ne04QTBXXfAdc/WXdKlDYtgMOj99WWG1gtrFqgq81xHEyqCGc6m1Jih6E1vdMTLFWc6/tE063Cv3fevfBqRqrxs4NxfC+u58N2J//bRrpdcsL3Q+tIv/dKP2gVx584dvPc8/fTTD3z+6aeffsG4iMcff/zDfv+Lial4vtU0zQtmmT1cD9fD9XA9XA/Xw/Xi1m+kkei/+Tf/5iP6uU/4hE/g4z/+4z/s97xsBdt73/tePv3TP/2jeoy6rvmMz/gM3vWud80Vac6Zd73rXbzzne983p/5nM/5HN71rnfxx//4H58/94M/+IN8zud8DvDiYipezjXpy5RISh2j7CBgkFL6oseaOi/23yFZt0jdiWmynEMEYlaijGTNc7tdJlu9+MLGcoZk0B0p2VjLMBiB1h/ZaEB7SD1T5uMUnzKN0KyT4ou2wUYFzi2og8VFNblmHQwsufDCuugu7nUV+9QQGWi04ci3PLIIbCroknU/UlZiiSNKBYiZyghpsr9PO8FcdqXRLXChImCdKjtMHY4AvkXwDOxxEqidZ1UJrYPhRss/SEMd1va7yt/XhlM28ginviU4oR8aOqnnx25Z85jfkJQ5nzMVpIZlrCa27twimXI3dwAFN3cLr5+B4m+8x6pQiafRFUl6MolWlxzVnkdb5VYd6bKjS56YDda5Cp5hrGllTecXVGHDlI845o5Rr8jZ9GoRjDNWun2qybpr2cZCnWbOsJD2WD1O0IBXzyADHZcM8YopgPx6jNjgvYFyHQFfGHk3AaGtW3OS7lBT0UnPTi7tmJSIV8+YonUT2NpxKI4gNm4e3EVxP5auGqM5+GYshpJ1xLt6HnGCIzjDrIwK25i5N/Tc88/S5avZGWzHsLkaJzBtH60rkUoDNucB8QuDVE84CXbmSA5KT8XgDlTSsk7HNFqzd3v2nDOkK2Mi3nBTB9daBm1YU8uSvugU1dnYug2n3MmP8njbUppLBcNTRvdi/yabZlJRjvMRC1lw7luiPzCmy7njbp2VCSFx3XmZr0UaGfV6XOvL6O1qzNzTKy7l2cJbXBLcklYcrT+idiuW3GKRF2SJoBmcY+lOOckrTtqK41jzTGwZZaTSCuccWS27mGjnf+stt3hTCVejxxFsrP9AT8UjMjkY04zima5zXioWumZVedrsqL1jSJmowkKvNYwGag6s85IGzzqvuXRXnFW/xI5nULU8VmNWBnKwMXXMB8OATJ1JDmzHZ6mbFYPcYpM3hOTpCr5lOzxNKqPWGWkz8fBESrc4kvJQnLwLlu4Ur4HkbJRuIe9btmOicoGkcDlMbmbDMq18IMZ2vnZhSfLl2K6Z48O4KS0pSB3XkvPeUB43u2nicG5R8r5f2S6b8vJFU/1qXx9JAP2UzvDLYdFecsH2XIE/WLfqH//jf8xb3vKWB77+V/7KX3mpD8/XfM3X8GVf9mW88Y1v5LM+67P4tm/7Nna7HV/+5V8OwB/8g3+QV7/61XzLt3wLAP/z//w/89/+t/8tf/kv/2Xe8pa38A/+wT/gx3/8x19STMXHYll7vyPmgEse8VJgj5MQflHQA8Ybyq4UBkV2OySjaffuwEQ1t8LAQJmWUTkx0QajtueemLZFrGsierP5X4c62+jk+uI+CYmnAk4KoDL4Ja07xmvA42iDAXedswt/65V15WljQyKxlIpV5bjVwCoo9zphTEqflUEjSjDNWAFhWmFxHco+ISsoiI9KF6hMBWWYMwsrbKw86oGKBY1zLPyMhppvfmt3h1DXDPmAl4pGVqw5ZZM3HLd2cb0aPcu8pPdGaV+mNaeLYBeQDnLKRCJJjIXUy4Gr9DQ5G1bEu+sOrGWf2o055YHoOuOs0RAl0pdCaJmXDH5P1shSF0WknViHRBotl7Iv19LGC3X0LPKazh0TqnLDKdmNW80M0W7ek8B6JvyTC0ZiAKwITL3BW72rCaHFFdPFIRl1XnUox5fMBUjlFqZzs0E5zgXI003K0bBmIy21C6SUSc6I7lEGnHi2nHNI928Ua1ZE2X8DIkVzpXZu5Gxw1lQKNstYbVEMvJyJxGyawt2oXAyRZ92zbPNd+x0YOiNIgwRLmqj8urxL7obAPTHmA7U3np6XirEgGpIOBm/F0cklTjxduE3rjhjVMAtD3M46K+MUXo9Ca1kyZ4Q6ZljvsTzG7dDwSGu5lYcId3ulT2pcsZK7OhaOYkY58QtEWjQpV/5pnLRlbKi2GXHMQGrbjJXjceJyaVe4ci1ehF1UzsaeM/c0Q97RujVeGoJWeLlNS0ubDX7rxHFgQ3LRitZ8wroK3G4c0jra7oirwaDNQRxjUjoROuBySKyCY1MLlZuuiZMBqHDJmMwh05VpAvaCuLKp9YYlCUWv5gs8+ZBGsgaaEOYytfFC5SqOa49Scb9vLC0hjEwsR4eYPtVhvMYJA5K3xZiijPGKXbhLciPZRRyOPeds+6cZxpsa7vDA+6+qRVuWoBi4ardiqRsqrZEsdK7jUp4m0nMeewQ4JMd2tM2QF9usBSf4aUPoChx5MrVQRq9q56SInZ9Svn/VPMLBBbyr2XcfsO9BCP6YVfNIYbNd8EqvXxnl3Cu/Ppbos5dcsP3H//gfn/fzn/mZn8kzzzzDM88YQFLk+avpX2799//9f8+zzz7Ln/yTf5KnnnqKT/u0T+P7v//7Z9PABz7wAZy73kl+7ud+Lt/1Xd/F13/91/O//q//K5/4iZ/I933f980MNnhxMRUv67qhycg5kdyI01AE1plQXJCOScNh2rFEpJeBPrWM2UKAR+zG711lN0sWgMy7RXNNDiXKZZzD1IG5iJu6FrNORE1HJy4gbjUDXsVPkVk1TTimlfVcQAYxbVXOkNRUEqsgrH2Nz46lDyyDYxWUWqxL16fMIUcO0pG0ppNLco44V+GKhm/SK2VKyoCkAoy1pAUwMKRdzAKVLBnyllzMAEGM9TWqPTdBWKjpXRJ36KSj0opjWbLwnhAMUtlFCOJZ0TLoEZHEStpZG9UlxyEH+nI76OXAId2nG+6XAjrcsDZku8FkAHN0elcTfFt+tgeFpVpqwqAbIqlomKwATsqsZTmkTMxKWxkrb5kXqDx6zTpTGFxPrtO1FiddXmuXbjwvO74UGOavdeO5xUuV7qFR561TZxuBMEeOBWfatMR10e/EowVC2rCgct6Ky0LWT0SS2s23y1ezo867xrrN0jAp5Uz7o/PxSekaXDv8nLmFi8YyysB2TER1XA2Je3rJJU8be650bG+Gb0/mDwvZrlCZgtVtI5PCYN/jKlL2tsHJ12J16/YEsiZ6v73xevVmyphCxn1N5dfUboGnNnOReLys8BJweE7zLTYLz0kNmypx4Tz3egubN51Rpi8d6aiKx7GuPLWD/WFJJQtCWBStmhWcMJkOTFRvFZu7oV/t2YYtV+OCMTt2MXHmzjnkC7xUnOjj1u3NCzau5bixWDEw5+35uCJLZpU3rFmw8I7jCjZB2QTHs53jEENhByo5wpgzZ8NAn+xYqp0VoFM6AeKRua1S9F9MjLDSsZQWEAJV6erCojJ3a9TMlj0aF6yTOV+TQuPMgPBIC0sPyxC4urjF4DtqtyDqYJ1iapoyaVAfzVU6Jit4JaM60I+XZB9JwTqMplm8MoNJMUDNWmLqGeyt2IZUJsOOawlazckGi9ww+AOD7rh0V6SYqWPggFEEBGEpFUsfiGqFn5fari9azhcm76oVaSJ+ZuepKr/5t66pq9cW48ltbKPVorlHXIPqmnHseO973/PcO9fHbP1G47B9rNZLLtj+1b/6Vx+L5/HAeuc73/mCI9B//a//9Yd87m1vextve9vbXvDxXkxMxcu9pvENMAv6pyy5RCzwxGC7Pnd9wepkz2Wq6UuuY9ZoNxTpCc52hsE3N8aJUx7lOAt6rSgrrkvNxUl0HW+EKioGqqzcYjZFeGqcD4zaUcuCVpcGZSWjOuUsWlHROCF4OKo8TRIa72i9XU6SiiUopMyOQ6HVNwx5h6K01YmNN4GYS+Zi7sytBeR8IGpv+YvTOFQCTiOVWqqC0eoNljpkOJgJkYV33GHDUWVw0C6tqJ1wp5Xyb4vv6ornYe0CMW7oGViEMBdQC+9oxNPlwCADo+4Z8o6YbXwtVMQp5giHkwXZDQiBmDuGtCO4BSobOtkSGfDqWUvDOptrbFX7YjRwqAZ20bOPWBwRNk4GWLqaJTWtt3F5VOWQlla0NXZD2fbTMZAoHuJSWNbcLNTBEfOe/Xi3HKi5IAEoXbWlFTrFUBAKZiPqdcFnCQ+WBhG0shpBzYEYtGbAKPaD7unG89L1jeRs0Gjc9DunUaBcG2tEoKALpqgfiyuiuHWvuKt7QvScuwv2cp9+vLBithhScM46rGppFaOM7CVZFJWG4qqLZO2J6YB4X8aaFZon4f4Uo2aA4H6UOSoul/g15xYE1+JdY/gJt6CSUuBqJEhNJUvW+YRKK06rhmVBXrROOTgzmlg3DbJ6Bk0Mal2dRjyrYMdt6zy1LmcB+xh3pSutc3qCE0+WAOhcVKc8suUed3NLk2r2cmAv91ESC3eHRzmmy4l1CNxpA4+UPew+wlUUVuOCkAOnYUEthgRZBOXRduSOCqsQOBuEpw+WWzvmzHaMXMqWQ6qgW7OqHHsdSVjX1bvFXBDb1CDPY3Y7BDwhLHAYUiblNJ8LGSvY9mKbtqOxogmuFHSO0xpu15mT2o61u4eWPDzOiI3mp01MTVN+lyOFOGf/KpkYp41rj8bzeTN87Qa+ziQGj3dVMX/FAtEVBMO3+LKt8+JYeE/lHEfxlEtvUOvRdUVCMMzX84NuSOmYvRyIOpbXbGVj2Btjb4Ms+3Iv0Pk8cm5BE9YlNssXx7/lGQe3ZEyv7Dh0era/UUaiAP/wH/5DvvALv5C6tvf/F3/xF3niiSfmZtN+v+dv/I2/8ZIxaC8bOPfhergerofr4Xq4Hq6H67lr0rA938evx4rtS7/0Szk/P5///YY3vIH3v//987+vrq4e4M2+2PWiOmxf8AVfwJ/+03+a3/E7fseH/b6rqyu+/du/nfV6zR/9o3/0JT+ZXy/LOg656NAngGEukEaPqhDdYF0JV+OdxdiM2rOXc6Ifi06roxJrqatLEJj1WCLexO+FUTWhA+bnoMbqmsY/Ns4qlvrS0veupXYrKllQ0bLWY451SVds9RmldwcyBo3tk2EzRIzp5IHjRojZkxVqgSFbNNY+QpcjB7fjkM9NI6QHvKs48a/GqWeUnh22yx3j3sZVqjb6ip0FxsvECyvaPQI1i1noO2RlF+EQM5vKcat1BOc4qaDxypgdS595pLEd/bN9YJ8cGduhrioP1BySoVRSBuevu2z7bEDjIR8Y0n4GlzpnnU2RQOVaJKzJRVs0xisT/IeB6EZ7n+ioXcNaGza+oXHCpvKkDJfRkdVxSLCPmS5nsmYGb+aTlfNsas+qshO2S3A1OobuEZxzDGKh4N14nynOByY0hy+amoEp2zLnngePFhtBhbCg8Rv7WfE0ssZJKFFRvYn0xRlLjYrglhZtVbpQYJ2LnsBAyb9N3Rx1pqKMyV93LIrOx/6qSVs2dZuv9YtQukca6fMVz/gPANDlLbl0/irfElwLOCppOUm3CXg8jit2dFK62dKQGVEsmHtMe8tILRE/metR6DVA2hlGJYEEG3X5G4aGaQVMC5YKCibQsM4nPConNMFx0niq0mQYVYgqM5R5IDJqIpGJEsv4MRDEhOi1c6zSaYmGq9mRifFQBORFU+g8kitEdNakZiJdOuOuN2nBFIfXuDW302PcWVV0yXNSOZ5YKo82kT4LZ2MgKmx84EgqbjX2vixKCPo6RNb1wMK3tK5mFx1XAwwps9OBzu3oxExj+27Bzu1MW+gXBL9gTLvSZZ3E8vmB97z2Kyq3ohV7fftsnfQ+KVmV0fUomcu4YkVF7QwjclwpR1XmuBoZkvDIIgDW9bw3NFzJjkEGRB2BQK0N2SdSGAzYrZnB7QpSpi+64L0dD9i186Yaa0Ir2XmVZuC4iDcgNNgouBQlrXPc8ityzly6+xy4sqg9tW5uIjK4HVFGOrak2OGcxelljTP2hpKVZ+eHK/eaXMaxdu5Po9QJL0Iy3W3ML5vX8EUvc4m+8Nd+va3nJhu8okkHb3vb2/jiL/5ijo+P+b2/9/fyxje+kSeeeIK2bTk7O+MnfuIn+OEf/mH++T//57zlLW/hW7/1W1+WJ/drepXR1E2wYtaIE4NkTgHUjawM9JgHknbsc6RjOxdmK7WkBE8g+JZW17S5RUW5cuds9a4VCqVYgInFk8m5m35zeU6FYu5auyEHc4TVLFnnIx4Lax5bBHaxpk/KVYx0asysLmcY7b8xKapWQBybpIpDNEfYVYSzAbZDNrEzW/p8NevRarfhkWR6xK3sGN2emIUqLNFomo1UiPspD+Bd0TtdrwYrMEft2OWBurdA89PG8XFL5XadWLjEMkSCU5b1yNGqYxw99fkRP79vSLmMRIMQXKCOjtpZsTmqvWKVd/joitB9b+ylUojnPCIEQqgsBaCMoSzcvCsF+sioHUM+WF6hHEgcc1I51sHRBitRzgbYjuYKPqTMqJlRI30KphWsHI8t4DjY63A2moMuakM1PEKXI0N9IOV+ZtmZMcUXYKyFSItMQuVrtp9xymqCW7AIJ7NmzV7nlenlCAz5iph7Kr8gSEMj6znlYi8dKVnrP1DhXWVFd+6ZuFo2jjddpeTuxvhLivngppbFA7a5uVl8Jh3p4uWc5DC5nb2rqGRBLSuC1rR5ybFbIAJJFV8CvL1UqM+WyVvGWzF3EG0EfF0wTEL4B+8wRt23QiKUv33JMXssdHzK1FUUh1DRstIldxaBRRAaR8nwFLrBxt9ZjYXXSUloQPB4GudZBW+u0WSQ2FvxhD6vqJ05RmPsZlL/5HT2vrnWqIon5evXzImn8msqaTjhcW6HBScVjMHxWKt8/GJgXY90MTBmx9Y7jpvAMsCt2uQQlUAQxUtms+hpvOX53htaYhZ20TSbqcgWDnLF1q2N5cYEp16wl3t040UJlZ/0lo6JM1i7DWu5zSKv8XiiZi6HRJ8yA+boHDCdb44bblcNlYNVyASxI6n1yuMLS/SAkoXaC/c5RyVT54paAjkfk32i1pYkkd5tqWXFzt1nP94lzfKCiX92E5YbinYtc5OH5n1tqR5EBnqiJvrkccGxCp5uWNJpR69Xc75wTOYgHWXP4O0aGLWnkZbat+RCHhhKagPFCDQdp5NhR3WYjShOFmSG6+P6V1D6/0JatV+PBdvHar2ogu0rvuIreMc73sH3fM/38N3f/d1853d+JxcX5jIREd7whjfw5je/mR/7sR/j9a9//cf0Cf9aWeW2WLpbRpm2HbvFEg16oJYFtVsj6jjoGTH1ZHYIjmW4xVJOWOc1AyMtC4RjWqmonbcLwOSKy6nobsqhLxPPPn8I5EakpvIrww/4DUFanAaO3ZLHFoGPXylXUbiKQt57xnFj2qEULWYIpQeiKo0LLFuddWsA5z08vR9JmhlkIGK7VPEeLy0rd4vbviFlZYwGLsU56mAdF80T3mMoOBJQWdnrZ/0HKrWw6SsHezkgUWjE07rAJyx7XnvrnJwdi+VAc5zxa0FqIV2MdEPFLx1qskrR5EDjDcYai0NzzBZePoFMR+kZ86EEVpf3V2MxkDS07hiAliN6tyNVHWPuStGyJ+Y93jUMcmDQSOMaTo1bzD7B1aA805lYOaFWrMlAn2tW3rMIwmmVud1Exuzos6EAwNH6mt0YGMbX0NeXbDuLyzH9l0VB4QsyYRYqX+/MJ3NB7S0BYtLxgHXLMiZmzjcMDUFqGlbUJTHgIDsOcqDWGo/H6xTiPRa9mBaLQUZzf32BFo9Iw2SiSSXGyboFdSlEijGnOEiz9oyqlvLhW9PauRW1LAu8ecWqiOOTqomdy3HjfYtkR8SRXZzNOLFgda5vaIYUnhx4YDfmtjph6W9xrI/R5pYokVYtpL2XHQ6PFjW9wwwZK1dzWpsrVDCo7FWEq9FMJn3OJPKculHrgjqbXnGCqsas1E54pGnoYsBHx97fovOXpHEPCE7aOQ0kq5+7hgAx7YlkBEutqN2aO/mE0yawLrK/Vy9GHl/v0XIeNy7QesedBm7VynGV2EaHKwVbny3QfLUaOB4rTqqabUmEmGDTo/Yc4n06bzrZ2q1p2LDKxxBgzIf5eEu5RDtJg/cNjaw4zrdoC/g6auZiTLY5kISIJ2rHljNEHKc0OOy5RRUO0SOiPN5EFs4K34gjpoptrIkymk7QeTQvCSnQUBFJHGTNsa45kyUazPWcUlcczWm6AJhpS3wxfdhm046jgJeaIDWqkdH19DKgWXGp5bh2LFxgkzYc3AW97qy7pgMxdiQZGNOuHHdmRKidJZn0LiM5MGFEZrMOzIYdzWVKkWyiQdZyXY0PaB5fyaXFVPW8X3tln8qv6fWie6NN0/COd7yDd7zjHQBcXFxwOBy4ffs2VVX9Mj/9cD1cD9fD9XA9XA/Xb8T14ThsvNDnf42vH/iBH+D42DbzE0/2fe97H8AD+raXsj7iYfbx8fH8ZB6uF1p5dg7pDWaXYqyx4GtabRAROi5M85MHnLM8v1VesfY1uyTU4mh8oLaZAX0SfPbX7fiSJ6dzmxz7r9zoshXGWlMd4aWlkTVeAwHPURW408Jj7chitCilfXFL7WJinwcGGS2MXZQhNpxkG9nVzmJkslo48tPcp9aG6CJRC7NMalrZsMknnCw8u6iE6C0ShwZcnkfDMXfktCelATyFi2UdoiyJOldsfMMhd3SyJ0si6DHLAK8+2nL6WyP5MuNvBfzHncKygX2HPHnF+qkef98CthvvaLzl9zUKlyPsBmU72o71qLJO5pC3xZF3HfNCiaUJfsGaUwCO8xE9a3IV2eV7WAh0T8ojztUztkVkTeNsHAYWwv0sZyDQ5gW5jMhGXeJdoHFwVGWWPrEHEGgc+ApaJ1TOk3TNPr+WsdoTy8jQS2XQ2awkGRDMMeqkAgTvG2q/pPHHLNwxq3z0QCyXx8C6Dpm7w3ZUeRpdGGIEGKQjasfgWpa6QUVLzuRzAZ2Oa9CnR8prKFKZQ5NMztOo9NoPZcypTNa+ZGkq4j2Va6n9Zh7PVrlhqS3LEHAiDKr0mhjE4rmCNCRnf4uGBTFC1s5YXTgm5PX0XK25Zp1q5wIr/wi39HEe8RsW3nFImSDCIa7JLuHUgM5g6JI2LVhUjmWARVBStizaqxGePsQZ55JIRBnsOVLRUNE4RxADA6vCpnLcDnAZA6mD83yLrX+GMV5hweN+vm6Y1jAAce7C5NzhnOKlZqVHnDY1R5WNDStRHmk7Nsue862NeoODdcgcV/BoM9D6zNJ7EkKfHPvo2XcNR+uOymeOqkw7FC0XEa8BJdOPl8R0IDQNC91Qa80JK0Z69u7e/D7nbNqv4NfUfknLEWtpWHjPqMoh2fhzJ5dU2sznYa87gmvIekoCxmxa0M4JC5+50/YsfOCQPF153u3YsCfjxVGJ4HxgjeFMBlXaFHikbaj7W3R+z6gHOo3kVDqvcy6ndWDTjRE/ZcQfnDlEB4y52EvPQQ5IEhZpgRdYSsWCDb1siVOOM1qOc3Ob+pJt7PBkKYibErOlgGrPrLecNco2vh3TjuANA2VB9yOaD/xKRFMBZSrwoevXa4ftuQDd58Z2fiTos1deffgbaRUeW1aDcU7cNFFKAHrR4JSiazqpHIFKGhoqWufos2PhLWlA1UZ2WTOjWLB7znFuh086NcHfGI1qGTWFGYgbpKWS1sZXWH7dyisLnxizCaJXwRlcNStnapgRLzWZyCgDh9gyZKPJDclo+/djxz35RTbukfllCK5h4U44yXc4YmGGhXKsOrWbPw4LypaRMRzo84GsPRoz0fc2ltBIEkMetM5Rp5ord0Zk4FSPWQRlvekIH3eMXhyQx47gdR+HOkF+6Wmk3uPDSBCl9VAXYn7r7ZKxi0LKymWy0WeQlr0c6PPVNZfrOSdZkJZFNt3XJlQstULSx3HPW0D2qIcbPLRohViaBoT2du1S4hzjFx65R/DqSQwkzbjCmQtl1NYnV5IQoAbqootyEjhsH2Fb3WPHsxbOXnADJra34juD3dhxVvC4FY2saHVN0GA3g7LjzWL42JsaQsE0hZPWKooZVLq8xbFDvZKKQWGWA0w/O4XXSy5srTzLBezrASvwFOdCMdLojCuZGYPi8a6m8RsW7sSOH4VQbroeY5sdUmTHwcTbxJl/qC5ZmoEqOY6gPSkfbqBypvGWK2wrK4AWHHPbrXm0Dfb6j/bEF2NLpx1gIn/BE7RhITWVd3OqQcZ0YOd94ql8RlO+R0XJRXAOlrsbSr06JKVyli5yu1XohEPwrLs1537DQc5QxjIODXNRCpBnrVURw5MI0hpzrbIxbRCl8UobIt5nDmOwcSfKJmSOqsijywNZhUVwDNlxr2+4jI57hxYvmT55Kpfn0PfpOLEi+2C4Hs00NKxYsK4C6+GI82JwUc0k16PqaKsTWrdhndcsKwut71Nml5QtZ+zTOUt3QqApfL09o3b0mukibKNjl2xDc6eBVRVpfUKGhnXwbIJj5WpiTiB202xFWBW675CM7XhUC6qBs+6UrTxDL1vmYg24mdYwjRilmA2cM2jyVFQqqcghduCgHQPBOSrnafOSRtakAppWF4hpLBIXcGJmhzSH2E/aU1cMWlMIaZpOImacVO7JE2+xaNs0jx9yDXsllgL5NxDW4zrP+uVdD7EeH8Nl+6UiAr2hG5i5bES7MYsVb5No1bmKIG1BaYLHyNdVuRB3ObPNPR2XJYQ4XhdrN5bpHGqcb5mihmq/pHEbGlY4NdelCeYFESUV95oTZRVgU2HsLxk5cEUvOwb27OWKfcycDXARhW2Ei145c/fp4hk9O6IMBKlp/TGn6RFuyZqlN2H2FL0TqGm1ZZk3LDmxG3A4xjkLP846MKYDUa1LMolpEfDl8M0aTb9CMXHVAVnXcLoh374NiwXkTN4OpOgJomwqOKrMgTd92EVF2bkdF+6cyziydecMk56kvJ522tjv9hKosY/ghHXleaRa8mh6Fa07ZooPs1ieQCZySJntaEaNPsEhj/T5kj5fcpArejmgovNNIaoJ1a9i4GL0M3POOyUILAOc1PBIW3NHX0MTjgmuKSL4svsunDGZoKpQQMz2dzmEKJFEwpW/LZEYpS8sMvv5mTcl18kc1l0d6NMVh3SfQ75gzAceINdj+klL7Jg2E88NK8/z+XF9rhgvzWKgYjHHBYJb0LgjGl1RaTO/HxkYVdmmyBV7rtw5ve7ImvBYLJGI6SmDaxC5AW0t2knNcT6XbsYPBbzFswVoXSHre9NPVlrN55Ig1FrTOnN5GhDZumu7UTkbB87kg5z7exzU4s9E/MwcDCXmqc92PNZOWFew9tl+txcWUrN2d6jDGidNoeGLmZPE4tsmDZvqdXnhseSSqZ84raSOYfDmpBw9InBajzyyPLBZdTQhsmkHVpWda/vkeLKreXK34qKviNngtTe7KIlJ82XHX9BAJY6Fd7RSs3AntLIxt7GzpIiNf4xTfYK1NDTeQLhOhEii0yvGtLX3k9LtFuvadjmyjZm7AzxzUM5HOER7HYPPeMk0zl6/deVZSV2uL6UgrswB2wQLlPeChctTzS5Q1emIhymxJhf9MDpp8OzY9IUJaDBcz6A7Ru3Zco97XLJNgxVkamkcoRyPfj4mrWNm7uSOPl/R644xHex5aL4+v9SMH1OxNm88RG4Uaw/6wl/ppeXYeL6Pj6Zg+/N//s8zpRlNq+s6/ugf/aPcvn2b9XrNF3/xF39I3vgHPvAB3vKWt7BcLnn00Uf5E3/iTxDjr+xr9GLWww7bw/VwPVwP18P1cD1cH9P1QiPRj7Ri+7Ef+zH+j//j/+C3/bbf9sDnv/qrv5p/9s/+Gd/zPd/D8fEx73znO/kDf+AP8O/+3b+z55ESb3nLW3j88cf5kR/5EZ588kn+4B/8g1RVxTd/8zd/ZE/mxnrd6173EY07PyZZog/Xi1vz26WK5kiSzsj3U8cDjPkjhxLjM3GzXMlv9AwaGbIv33uNfbiIHffdXfb5nDHt5+7ddNyLWli54M1N52oiEPyS2m9odU0uOzivniSJISnb6Lg/BK5KFyoI5JJrnlGL1pq6LRrZ5oGnO9sxn/eRUZWd3mNMe2LoLJxdVtS65E5YswqeMWcOSdlHU6UFDbRS4VQIGogSGdwJY9iVSKOelHsG3c97W9MAWicjaIWK6fAS0O8Dq/s7pA1QBSSOyMUl3N8yPpPZ7Wsqp9yqbH/aJ5kFsUMqYysOHLgA59jns4Lw8Igs7LeLlBgsO31ywThAGS0Hj6NlH+/Qyw71kUoaArbr3sfI+Wjv65iU/Zyxmhlka9LDCc6iyiEKV9ExqnC/Fw7R0hpQcxEGZ122W43w+HjELj/ClbMObtZxft1m16Xa+D3lEXGOUfd0U/wXNQ5HLs7FUfeFAi8EZ3/DhCowsn7CcYMMn8p470Y2LDe6VOAfGCehJhkgSdEzXTurde7A3RyrThy0qqRfuDlzVlEOOjAkx87t2HJGn3czQufmmsbE8+c1Wb6lTpgEe0dv/u5YujrKNfolKwTn8NkbZgSLqwo50DgbZ18VbNaQ4GxInLkLDukMdZm2YFSCVkBFKM9nVC2jc4uAa7ziRPFFv7jwgaN4yqF6lJ3cLdcPG4t6JszEjfSAG397ItNnGLONqboE97uWPnnu9QEnhsY5bnrWbU+oEm4IBJ/oo6VOHKJwOXp20RUNq6WNZFVLRiHfSDOoyu9NZM04wVIcCrIoupHo9gS35E56nBO/YBkcdZn/ZFVGGUsE31i67ZZ/HLBYvYN0XA0VqnAxjCStOamE7VBTuUzMJTtZTA+YcsXZOJDUuuuNu05LEaR0v5VImrmB3HCCTuNInTrFpevupCL4Bl+66VO3K6m54Pt8yZmDUU7x+Ta5HLtejMepmm8ckyYHGLO5zgFS6k1aQOImLkfm7prDu0VxidfFhTtgWlE/nyuv9FJe3qSD7XbL29/+dv7W3/pbfNM3fdP8+YuLC/7/7Z15tCVVfe8/e++qOsMde6KbVsEpQoggiYnYMRqf9ALUqIm8xBiDaIgxPMiKQ/J4ZgLjS0hMlrp8T335Q9HnMhJ9yyGPEFcQRaM2GkDjQGQJD0WEnu9wxqraw/tj76pzTve93RfoC1fYn1539b1VdU5V7Zp+9Ru+v/e///38/d//PS94wQsAuOaaa/jJn/xJbr75Zp797GfzL//yL9x+++189rOfZfv27Zx99tm87W1v44orruCqq66quxM8WD74wQ8+qM898YlPPO4yD9hgu/jii7nkkkt43vOe92C26TGDz1KqfnehqXSJCOKlUig0JdhlDN4IUqoZHkg+Qb0ne1jjyEh8j8HS0NElh9QBlsx9FLqLsb5pNhPrqzKkDJCRKN9/MFM+X6LhGgyET0xPSCgp6WnD4SLBuISu9vpkdVJ0nbdhg3EpSURGT/TZO3SkQtFzQ9/k3HbqkJZAMGXnmHXTbG758NByIeiUlr7R2GCwNZRCWv+40s5QiM2UaY5FU5ReGFibQR3CKyjpGf/gb7ophBMoJdBWcGB5iqk7F0h3JKgtXQT3w70H0N/vcHhvm4Vhk1Q6tjY0fSPYpxNyI3x7K+1FTLUoGegFtCzI9ZKX70h8MrazBmMFUspaOsGGQJi2/oHaSsCimNPTDMQW+lKSihZNZpFIBq7k0NCHnYx19GUHZ7whn7sewkkyMYVAUBhLV8DBXNLVXgLEArNZJfkAbQGpdEwlgq3NhIXuVgo5ILfLaOu1nfzxCKFOW+DQXrw09LfV0i/TENMgLFqUFK5HYQfhwSNJZBslMowrKEQ/aApaH54KjbO1HWBsUUtmjIyzUSsfIUa5bT6UX+CFjCujyvj8xRAurYsURBYSrtMgX6EpxAAZdNYKUdAXXRyWAUsMbYeqtZQg9DgliEIHMWkh/BvJWCpdnbjtRVBHOUG56JEbS6fwobbSudqwFgifYiASlEtI8YUP2sJi7sitpbCOg7rLsjwQdNFShrJP07X9eRyC5wbHUPtXqkyIuuVbYf16lYR2Itnipint47GJpbS9sbuPrI+133+BCzluDkMucjqFoaEU7URgneC+QUa7SDiQC6YSwZbMMNUoSVKLNRIdDOpCK0oryC0czmFBCJqJoKW8YVo4gwvnj7UaITKyZBqBpJA5Q5ugbQMpBFNmigRFIXOc0jTkDFtFiy3NBCm8MTzQjqH1EkF167pgtKW0yEQL5RL6oou0kl6esiw7ZOVWlsqEvcOMhvTnWuG8AT2TgnGKRS18sj8K47wB6/+3LBbQKUu6cpmy7I9efNwRLxt2LNEf6XvKipbfTlwIc/tzz+fcDRiaBYwsSGSKxj8XZAhnGyFHBTdCQJCdcSHk6jX2khDCr170q/zP0MotFJ9IkXlNRKvD570UyyMVHl3NVHRAWZYsLy9PTG80GjQajRU/c9lll/HiF7+Y3bt3Txhst956K2VZsnv37nra6aefzimnnMKePXt49rOfzZ49ezjzzDPr/uQA559/Ppdeeinf+c53+Omf/ukHvY8Av/iLv/iQPn8sHrDBtrS0xO7duzn11FN57Wtfy8UXX8zjHve49di2RxE2XNwlVih/MxUKawtyN6wfhs3EVwElpJSuzzI5uZxm2s1hjKXA30CWzH0MyoXgWXPhYWknK0JdaKgtnE8+Z8pX1DEVvGq+d17iEqzQLOmCpC9YTiRDbZlvKOYy6JX+TVOGx4nvielFpQaiS0cueMPCDZAIbPWAFBLlEqZcm9kkZSatNM4sXaPpB02zlIRU+Eb01vk39Tk7CxJMUgZPja+2TCw4ZShFSQdLQsK0myITvghhaOFHvRby+46dg2XazYMIcYjhnUOWDrb4UWeark5oK00zseEBRl25t1wa39dRaArj80Ws8z0oG8mcr/oUuc/lgpADJSkoUU4xMBrjEnxPU5hLUspyG0omSBLato0RXhVs0QzQQqPRDNziWLVcQcGAVHnPS2EdRWHYJwSLhWFgNU2p6OrUGyHhLthUvufkTAqbkiZL1lefVcro1TlX5VRWvRuF9Q/CUvriCJsYnDQUwdAzoUuB79XZIBFNDBpN6XPtnPHHHBUq5kzIN6u6awDh7HGhCKc2wqhOVYsvWfGdDvy2+RcR73EQIf8uiPJisVZTyD7aDX01rGigKejbBa9nZXw/WiUyUpX6HD03DN6SAie8vlYtlhu2ReCNG6B+QFe5f6Xrs1QWDIzfRiGEz++03pulUKQ0SWn6vD4cuXH0jK+y7osBHXmIoV2qPVCF65HRYta1EQhKX19LaSwKaKYZqfLGRqH9i0Ui8MLLSiLyTZS2pCP31UUL449Ga43PY5XK95PEMRQ9FsppUtVkKvHG11IZPOW+2YjPnVWGolBorRgUKcMSFvKMgZH+M4VhYAwNKZlJFT1tKZ3BSV944nAkqkUr3YxEMhR9tDRsMV7UuCVS2klCXs4jgy7Zlmlfra6tF5Pua0PXFBTKn59VB4fC9X0BhZtGOUVHHGJZeYNuYBeZ1TMsF4p7B/5FcSbxGcLa+mvTppCEc1IHL3av9DqIVVX8gjxMxx1AW1+JWXlX/bkBOM2k79J7ykbFKzacB77fb1UEZMwQbXMWU+/J0W5IIjLvl5y4bqqX/UHtSQNwIiwz9kIhQkFNFYozZuiFnpNpbGnwHTxGRTQPNz6Ksfr86667jt/+7d+emHbllVdy1VVXHbXstddey2233ca//du/HTVv7969ZFnG/Pz8xPTt27ezd+/eeplxY62aX83byDxgg+1Tn/oUBw4c4MMf/jAf+tCHuPLKK9m9ezeXXHIJL3vZy6Im25GMvaFblwfvTIpw3kPgsCR48U/JNFUXhNx2cc5QCF9513WCnC5D22WoFzFmiBcczbw9KCpZDz3ytDkd/vZK7t675t/+SoakNOvE/Y7sUJaatEzIKSjcNJaEbmEZWI0VDiUSjBu1DhqIDgN9qG6L1VAzoaF8k4QGDVq0ZEo7UWTSJ9kPraXLgFIWtGybJDzokxBqxHqV99RuxkqNyYbk5bJ/iIdKyaHo4YSjbWfYJNtMp4qGEpQWfjRI6OppCit5fLlEWSh+tLiVrk44mCc4J5huaxrK0NVegLZXwuHc0DH+IWNEURuKUioayTxtOY/FhGoxXx2qREYqmminMcKgnGRoHK3Ev8lPZwpoosotGCxTMvPNvdF0ZJc+i5Ru4L1qIvG3dptjXUEl0Nm3JSWaYphxSCxihWXaTDOTe8PQhEBcaWEqgVTCTKpoDafo4MMy1hqkpBb49G/bWe19MUFKBayvnkwMhe6GsJr3HCSigRIpqWhignK6cTmly6lU3iUJhsoYrB4oalQtFx4U44bcCBtsuOqFYyQ9IGSCFA2yZBolU/JyGeNKcrOEcxalmjTEFAZNvzxYt70Crzhfee4q719VcafN8IhiHW/UeqNgVDChpE8IN05zSC6EjYKma9LU3gOgZUlmGzREa+TxC83QF1yXJXWIgTlMaQdok/tQlbOULgcBLZmihKBjLENXYISh4TKfjuCgp6EMldgNCXNeT5amTMi7m9EyZ+i6UHvBq3F2JLKJkIpGMheOn2ZBLpEViqkko6cdubE0QkVmKr0XrSwTunnGUCsKq8itZKFIWColQ4339otFEpOwyUzjzW4vvwOEJPqUefE4+hwO29elpzeTyYRMKeYyRWnbTNmMqTRlcwNmE0ff+EKmjtEsyw6lG9b3MV9Rn2NkQeYypPNFUaUdUDrf7WM56XAozxga78ne0QydRZw32FqJD2Vra8m1ZRHoFH67F12PBbmPrtmPsb6TRCLblM7hrEOMnZvjIWdvUFYlHeE0EcqHhoVEiYb3vknLsFykx76Rl162fWcDm+MoR95mIY6uTHWOkVEuwwuyGKVoWMPAHiZRbd/2UKYI+8hqnTk3erlcad4v/dIv8aEPfWhi+kretR/+8If8/u//PjfccAPNZnM9NnVD86CqRLdt28ab3vQm/v3f/52vfvWrPPWpT+Wiiy5i586dvPGNb+R73/veid7OSCQSiUQiP4Y4fLX0Sj8OSNOU2dnZiZ+VDLZbb72V/fv38zM/8zMkSUKSJHzhC1/g3e9+N0mSsH37doqiOEqYdt++fezYsQOAHTt2HFU1Wv1dLbNReUhFB/fffz833HADN9xwA0opXvSiF/Gtb32LM844g7e//e288Y1vPFHb+ajAhzC9jSyk9H8LiVQJTTFN5loUYkDX9kN+Wo6QqtbBKk3XS1vY0ksxCEWq2gipcNqG/ojV25+sw7DGFiSqFRrJJxhh0OR1f0+AoejTUz6HwLgcbXbgBvMMrNeyslifkC68l8RicbbPsFz0Yr8i9X0K5RSJbNFk2nscEkmqRPASOC9hIX1LLYUkCS58VbnyhZdLaCsF5UnopGDR3UNpB2G9jhwf6suEb0G0ueE/q60PbR4uJIWbYrHI6GrF3qFvTl9a34Zqm5W0rKCwEuOgUzoWioJl2fHh4pA75b2TKU05R5vN3rMkfXPxSgTUhJwdg2PAkIFukgjFVOpzj7KmIlENhtrSTCS5FnSM93B27UFK7RtNp6odwhp58Lz65O1ClPREhyUsHXfA57nIgql8pPOkrderAh8WbSjhBZmlDHk/rg4zVl4uJZs4Z8IbfkigdprS+F6kpR5JmcjQGxS8bl4q2jjnz6HSDeqm8EDQAxO+XRohYCQq4d1xzwCTXoTqnKVqEeU9CwLfdilRXiRXCkUhe1hbktscaw2J8zlQxpYUuoMPRSVBb8439zFotM1HjeedG+XJjaU9C5GQqimMLXEhjJQp37pLiYQuhyhCvlhbzofrtommJKNB6jKEExh8nmaPAQtiH129j7xcDte+qq8948oghCy95l4omNAhzG6coxfaWFXt0toNmE4qSRdBTzfoDDaBgqFb9t7BWnhYkCXTtNQmZsQ2UtsgFwMGosOibdAcSvpGs8yARpmRCEVbSzql4vCgyb5Bk9L5HL+OliyVvkihp32Bx7I4gENjxU4y2whHUaFEg6baRCqabLebuU8UdOw+NCUdhsy5Ni2pQmusBOsULSWYTx2ZdBTW3zO69OmxgAm9ZRWJL3oxXXQohklJAB8mLU0fbXN6yQL7bYIqVNAVnGU+k16uw2uPkwqBEYK+0XQNdOgjECyIfSzr+8j1Mqma8ukQAAWUGEYSW3bCO1sVjZkgHOx1B004ChJFQkNM4aQFFn0vVelTZIz0XmFjhuG5oOoiHULOpwjrq3uWCkHVgq461tU6jel40eyw/iodASbTER5OToRw7rnnnsu3vvWtiWmvfe1rOf3007niiit4whOeQJqm3HjjjVx44YUA3HHHHdxzzz3s2rULgF27dvEXf/EX7N+/n5NOOgmAG264gdnZWc4444wHvF8PJw/YYCvLkn/8x3/kmmuu4V/+5V8466yzeMMb3sBv/MZvMDvrq34++clP8lu/9VuPeYPN4Ss2Q1YodWNe6y9u6wxSSJRokrkWDefzcDRlCN8MwUp/sQVxXSlTklAFpKRvklwGcUqNxZrqYlZUekFeQd2HahzO9/h0Qf+NSusrZ2iX0M4bDEaVQSHf1BWlvior8591pe+TaQY4myPUNJls0RSzWAwtO0WLBonwyfg9LeiU2ldEYkld6vWgRNg/IWotuIb0fRSVbKCHJ6OTIT1zMFTY+hGyzqBlQSoFs6k3xnLrja/cWAZacv8go69hMdc0Q87PVAKdUmFcg8VCMTTQ0YZDcoEhyz7kYnxuiiAhUS0acoaWbeFookRCy04xL6ZIlX/YdV2foRhSiCFdo/2DVSbMpD5MmSlJr/QPC4VgaC1GaArdodQ90mTKJyeHY+rPHUOJZiAG9FlgaDsUuuNV3ZVln8i8opZTlMUUPamAlKmgXpoIL3o8Eu21dfhPyAbNdM6fQ6KJdQVDvRzC7D5UaIKB7MP3IhiQPgCbugZWmLrRvXa5D6XWxth4RabFt56pHjYjI47wf1WwMBLOrXph+tCekhlKpKGq01872g69KKtzOO0faN4Qqxpd++4JUia1Hph1OvRUHDdix4w1BFL4vB/n/HXj+/puoSF9T92BXaRfHsQ5jU0LctljSm72YywciUtwOF+AQ05HLtDTBxgUC2jTRcoGiWijVBZMch0KN0Y345wBRmiMmCI3joXCUlpfh9hKJEoIphJLUzpaVtBrKRaKKUpbMhShiMmpUMjUoJ1sYat7AlvFjG+iblMOy710xRKHdUpP9uhwGCVTpu08szploVTc229x38C/7EjhiwyqwpxuaRjKAUO7hDFDkrTJnNhG5jIvGux80/ambbC52WApn2WRH1HqHv2sS8v6LgYtFSqeEWQSWspSWMHQ+tzZoeiT2+VQ/ZqQyDbCFeQs+1xFoUkIYUVX+pCi0wzsEkb6/pxSSLLh07C2RSsRpEIE8W5/DnbckL7s+8pwoG8PU2if+pCpGabVVhKXcTgDV1g03bHzpqhfLESVn+wsVlgUsr6/VmHSjDZWaP8ibnpY44sBjA0vwm4IznjtzKAZ6Kfn/nxFI9zo+qkKcSafO1XPUE1uOhiTjxUa2AdkIJ0oHL5S9KEyMzPD05/+9IlpU1NTbNmypZ5+ySWX8KY3vYnNmzczOzvL7/3e77Fr1y6e/exnA3DeeedxxhlncNFFF/H2t7+dvXv38id/8idcdtllqxY5bBQesMF28sknY63lla98JV/72tc4++yzj1rmP/2n/3RU0t9jGy8TAPgHByUi5LlIofzDCBFu9AXGDDF2GDxmUIYKISWbZGqKTHqFcCUSmmKWoetSyp6vGBW+pYkUTVxIQq5L/PHVW0PRDYKPhkKU4WHrfD5VuUzddSH1XrWmmEa6SpgzQ1Ng3NCLo7oCF6oEMzHFjJ3H4ZiiRSIExvmKt8IIFs2AQg6RXpMeKQRKiNAU2KGkr22TApoJNBOBsS2G5U6scuShoraqerTCYPE5PQIYWl912dMlS6VvFd8XAwpRMDecZXPSxFjF/lyRlorlwucGLeucvjwc8rH87SxJmjjnSFW77gKQ4AVS51STrc2URMBiLsjLlKEYYtB06TM0CY1yivlUMZV45fRUVMncAlX64ozKMErweYWKBCtGeRmFzMlFj6FeYlAexlqNlb7lk1PaSwGIlELMk7oGbjhLkaUkwo+jEo1QLegzbFxIUlaySTvZQlPM0nRtcgZ05SFys4S2OdoMqdqcWQuy9gZpjNRkro3Px7e1x7d666/bUR2Ze+Pc0Q+KCaFPHR54aZilcOH2pEJxR/XdVc6cDRXS1sJ43ZsUTZRqkIT9r4y10WqDJ6+qpHajQgMhFJmcCgUpFkXCjNhG07bpiy5DZLg+feNyrXJIoCGmKEVRy+TkIqfPIl1zkEF5GG264aEZDE+hateCoaAwBlTItRNlmO4T7gdWop2hIRSJ8p7VhnQ0lUUJwaZMsilL6A7aLIlKNsUghaKZzDLNNnaoWU5qJeTGkeSSrmtT0GdBHqbPEkO7hCQBBT09zf6hYmAU+we+20Yi4MCwoAye1gE5Q9XHmCGl6ZMnXWCbFxe200yJjJkkRQrBXCqYztsIFMaVDOmSM4t1KUr4nLVUOpTw0iUDo3ybOG1D27OcRMg6Z7SSTnGhgEKhvMffWW+8OIm2fUrTRTt/D92btVDFqczYFCESmtLflbWzdOUyPeeLQYBQeQ/NdJ55uZMtZisSQalybBLuPdaEc9DnCQqZkKgmCBlEPiqpmVG+m8WQ4AWWVdV1w2qcMEBOFRXx52aCklkQRJaU2iJEeCUKAr3j+JfeEudGXuoKpRoYU1WYPkK5bKGifcVZJ9iCfOc734mUkgsvvJA8zzn//PN573vfW89XSnHddddx6aWXsmvXLqamprj44ov58z//8xO7IevAAzbY3vnOd/Krv/qrx0z4m5+f5+67735IGxaJRCKRSOSBcdtt38SYZdJkM2nwFg/z+xl1JfHqAg8nx6oSfahbctNNN0383Ww2ec973sN73vOeVT9z6qmncv311z/ENT/8PGCD7aKLLlqP7XjUUoeAJmQMdJ0/VOklaUoKkZPbDqUNbXhqgd0coZqkaooptZU284DPI8tcAwQMVcuXj3t3FUo1UcJLIFRtUrTwWkKFG9RvfrnIa3e9tbrW0PJaXZZMTZGotM65kSIBa327KD2sXe1SpmSuSdM1UELSlKHvaWgTpJ1lWS5ihaFtfS4dAt+k2xhE8C6IMGYJXgxWNyRDO4s1lsPSol2Bb2mVYjGU1qKdD//a2mMBh+QhOu5A0DUTaLUTqbdjyFADf9r3S+vDO7JLYXsYvMCtEhnNZB6BoiXnyFyGQtKWKVJkzGWKrcFzrp1iSacMXYqWOX26WGmY0U00CgW0lfey9QxI7XXtNCVV2x7nXNBsgqxu9pyQ44Vrc9MJDd0NzlqsM3VvWiVTSunlKwwGXczTVgnaeQ0oKVMv7eG851WEass2m9hitjKtMkpr6LrNHE730zeH6HEQbcSEUKiXNLDBU2Xr889LbBgY9+aOi7XWuTOMplWV0xPiZ96TUOXUKZXVqQCVd60wHb8O61MLRpWk3lssRYoQLe9dkw2UauJFgr1XJJENjBf48BWtrsQYhZVF2AwTPN6+bVLi/Dk9ZdsoISkoUMGz4fP9vFdbIFBpwlD0QfqgU59FevYQw6LyrlVSCtJfQxA8ioqCActuQNs00VRVvF6UuEuPUvhK0radZsamdT6bw+e0tZSX4TmcZ6hwnTocSjZoy81ssZvY2k44qQlDIzAu4fBglkVV0Hfeu1boDkqkDETKMluQA8nBoeCw6ZGRkgjFQXEQKywSSSGGFM7L3nh9Rh96bAjFtMzYlCXMN3zldkNCSyaktoEQAk1JX/YpbQvjoJ0Y2sp7j5ZLxWIBBweWTllixKjitwqLKpHUqQM5XZ+3FSrVJQlWei9ZnVYCdNRe9qsmhd5CaZu0El8RWzhNXyzQ0wcpTc/nmskGzXSe2WQnJ9mT2JxlXsC63IZJcqTMvGyMGWCQOCyJbJIlM7U4NqH1YNXDF3y+ohYK7cray+rgCImOUW6nkL51oBQKI1WQaPFe6ErKqWo9BQZrvdSMMV1wDm06GFugZBNEAnYYhH4ffrzBtrJp9shk1P14EjsdPBxUnQeEV8Ou+xNWxpob0heLGFfS14dCzoEZXcQiQckmTTXLvNvBlGvXCenCCbQ0JLJVf6fDkogGU+m2sPogb+pySoZo2/fTcZQMUYQGwSFs6myOA4pwo9RqVGbuk81LtPE5RH6dKhiFsjbWEiF85wNT0pG+P+aAJVLaKFTI7/CUziKsoCmDsGt4GLUSx4wTbHWJL4BwXboc8iFV2Ua5hMI6uqFNa1Gl7wEDOnTKvZS6541XEjLZQuspBiZFO0tOQYOMvup4EWPnZS0yOUWDGTLXJCH1xiW+WXw7UcxmgrnMkRtfWNCUCalJyZ2ioE9pB3TcFoY6o3DCd42QDowgN77wwogibGnVA1NjSWmJFonLKEVO7rrktusNY5uHG3rhE+ddjg6J9VZ5YVujCqzQzOl5H5ZxilS1vMFmylrHrJnMM+Vm2JQ2mMsU1inmTEqzyNgvM7TKKWUHG16JfTjeq6ZbNFqUPjRd6bsxypup+ip6iQw78aIykbsWzj+BpRK3rc5fIfz/Ukis0FinQ/FMOfqkmyxqqLZRBSkJKZIgMzIMuaI+1GmlT9oWeE06LQd12MyYwoegRELLTjPtpmjLlEz5vEP8Ge4FnA1YO8QJTWEUqZoOgrH+u4Z2iaFepDTLQSXfBekWXyzkcPXDuHB9ltUC2s6gqtAs3rAZCt87U4kMpMTYaQoDA1P1svVn0FTi89saukWPBImXotjktrMpy5jPYDqxNJSgbwSb8imGbsjALVFqX8ThpKV0AzpqkYHzOnx9sUAmp1EkLJt93qAlwTgdjpGq90sgyGTCXKbY3hLMZ47FwhttqRQ0mCGVLZ+HKgcU1jAwKdYJEmEonGSplCwUjgPFkJ7o+3y8kLeoSBDOl5GokDpQ2B5WulqDLlENrFVBf1DXHQoGxQILjQStSgZululiGoejI7sMzVIo8hrWOYyzyU5ONo9jc5Yxm0lK69hkptBuB5maoicOM2ShDtc31awPpaNqvb9RTqe//2o39OFvO0AI3xXByWTUkL3qCiJE/eLjhMW6qmjA1S81IgRdrS1G+WnOYMM16HUPy/qHCamXR4ZomD10osH2MOAfLKM8tvGkbIv2mleJ801+dQdHOfGgk7JFI5mlpTYza6dpKoW2tr4CMpfRENNkqkUiGmhKElI2uZ0kJGg0Q9Ejp+sLBfB5azDyupU2r70nVXK6NUOMbKJtHxkaz1tMnWPnbBBMlQ3/FkiBdqbWA9LO0BU9FtlfV9alqh2qtsA4i3WOAo10Ah322VhHHnSDWgo2ZwAJh7rz5LKLRNJmjoSM0lqWwv2uMI6qSYzDeK0m08W6kqFssCwPMFAdBMJ7VyiYZhuFG/gbnJCkNJm2czRcRlMklM5ShIdBpiQzqaCtIBOOHBFaBQkyk9a5gIXr05XLLBfTdDPpH1bKG5Td0tCVXZzVQQQ2eESCZl7mmmSuiRWGgQutx6o8QVcJ31qgDJ4nn7AvhcLYEplKkNLrU5GQyim0yDEo0qRNpqZoy000TYOpRDJVCYgiECLDDLcyVMsM5aJX8g+toHxDa593M3Q+H8sE8eP6PHd6wpNEUIqrEUcUIzB+misQI9036wxKhAIDM/QN4IPBJkLV6bi3Tslm0GlrjKpPgUr0V8mMppyrc58UCRaDlkOvhQYUqoO1GokgdSnTKmM2DZpqhQtGdTC8KgFSZ9BmQGm6lHS9Vw8odY9Sd0IeaujvJpSvChQSa73SvSIhdz2WzT60zGkz7ytzUeRiQN8soq1v2zSUKYXdRlf7Suh2ImlKP46JwDdVL9tksgVIptnCNjnL1oZiOvHLCBwNKZjJFMvDKZaEN8KtM0jrDYCeOIzDd08oTI9MTfmuDHqRRDRq7bBMzZAo/6Ioha/GbEjBXCbYkjnaiaGnfecUCUzZOQZqDiESSjdk6EqWiwbdpiSVitwKDhdwcKg5oPb5VmdOe8X+qsWT8DmUqWhgwzYaqzEh3zcVLbTMsWYQDCZ/P9OmSz8Hl2kGcpGe8nmfOT2fmG+H/niKlEzNsN3sZEvWYDqTNJTPPZ1OFZRz9EwLKRUuqca+ySzbgu/WMBS+KhlnQfjcT4elcENfHBa21bd2yxBoQIVctrFcZ1vihB7LwyzrwgZv0I0az0Ol0zZmkNU5pOUjl7tWbQrH1mGLrI1osEUikUgkElk3nKuzdY6e9/Buyo810WB7uKhc2lLUpdouyHB4F3rppQJcOfpMqAZKVJuGmqPlZnylmPDeoMpTpVC0QghvKPsU+JDnvJthWiVoBx3TZr/S9FkMb60+18I6jSGntL1QhcdYRZ/B2ILSDcBV3RpMnWMHIFUTJZtImZDTpS+madqEEui7ko48xMAcQpucNPH5WU44jLPBsyfJRY5yktKG09FaciPJja9Om029j3JOtukwjZGaWTPv3xqll+3w41lVfjmsqN4uDdicvFz2sg2hH6kJzdZlpgBb98hsuWlmaTGTpsxkiqXCcLj0r4ap9CHQRPpm8UMTtLGkIBG+gnQoBM4ZBnQ4XBZM5U1S6UNWSyUc1kM68jAWRyOdhZLQbaBEKN8PUI0p85emV4913cuwfqP2IUfDECt8GChXHRLVRIpNJChacp5S9bBo2slmmnKOebOVpkxIpPdFNYP3JbeSXGcs2M3008O1llempshEi0Q0fWWeOeRV2U1+xEk+FgIVvhqzDgtNvEaPTRNVh4MCUF7yRii/j5KQgzYMYfoQypy4w/sqUyUbJNJ7XsYrib10ie/U0GaeRtAKUy5UFgqHDh7UbrLIwBz2oUq8Z7SV+DB24QyFHKLt0KvZy0bdR9LZnMJ4qQdp+uH8KrBmGGRUQmNwmQbPnK/Crhzu2gy85EhiSFSj9oaUrk9hOhjnde40OX1bsphLjFO0E9/IPBH+YdhQginXoitnSVzKJjvPtumETQ1IKm0zfBX2dCKZEhnJWFUyInRfsL4tW6G7WOe7fkiZ+lQN5eqeqYnIyESLovoe53NS24nPS5P462OgHcY5Zt00pdweKj+H5CJnqWixf5hQ2oShgf19w363yLL1QqajKnrvXfZRelu3SCvooI1vn6ZkigotnoTI63A9QQ7De9kMSdJDqwGJ9OkCvqtJpU+Y0RQzbEm9dy0R3jPkHKEhvaChJa7cjFUmSJi0mBdTaGcZuAIjC8ogzWIxY501BpTW66zJ0GJNihRbhcHdeEW1xro8WDOSqp1cde8CF/r1jrcjCyk3R3nTQtxBiNE6HgGO1ZoqsjaiwbbOjF861cUoRDDWrA+D2SDSKUXD5zVULX0cSNkITdtDD1Aswvkyf4NFIlBO0XbTzMk2hZ2iI3pYYZhLUmYb/mbQyAVdM0OHfT5EK7yoqEUztF2KMcOg3l7ncK4g111IfF6RCTkTQgiEbJImM2TKyyAUtkdHLZAZHzrryi59u+g/7ywpUzjnJQ9MCJUpJylkQeISCuvzYJyUDIylW0qmU5hRjulUMJMkTJdzOOeYk1UoRtA12kufhGyXvvBtlvxfyofvbJ9hObF3gKBM87pHpkDSck2m0pT5hmJzAxyKZa0wznodNelvPB0t6JZeSkQIH+ROnW/dJEJe0kFxmMZgG1L4cEqn1BxSBxiYpZBTtSnoR1W9AS2GAkM2Enq1Q8bbNFU6SlVCvxO+eToob6zaHC2HWGFJXEaLGQZBpmJancSMnWeTnCKVvi9ibiFz3mBrSmgmipnhDH21mUQ0sLiQ0zeNchkWHwotzaAWfh47YUbbViMnt3ncqAuf8VId1d4N65C6Nf6AVcZa1TqKcKxdaHslwkNdCd8UHmvrxH2fZ5WRyDZt26YlMhQCJSuhX1Ffm1OmzUFVhd5GDeoL60ViC9dDB326RLW9glrotVoVhRiU359K4FQopGz57aF6STIhJO8beWub1xp4QzlLQooTjsIOal0xKzRa+LwuVzoGJqOlJHlD0fRqHDQTmE1SBnoTLRpsyjK2NnwfTfDnrHb+mEsBmVKkzrdYc8LU42edDzFaF44xBueaIQyncUL4fDUxRdNNU8iB1+gTPiVBANoJSivoGy/P4YCpJAW9hQW5RB9NIQoW9JCs36ZTSnLj2Fv2WJD3kZdLCCHJ1AxN2UKSoMlxrsSIlt/WkM9WhRgV4fiPnV4+sd/nsfmwXA9beimaVE2FXK+QnygbXsaHWaYSX4pVWihDNdN0ImgngkQqtGti9BZaImNK+by9nra4EoZ4AXTcEO0KXwwGlHbohXFdVXA0KXzrxkKbomosP3GdhOeGP0ProqVxhJCT+XAbJN7oiytWnxdZG9Fge1jx1UCjC3OUg+CcQKppUtms1ebBksg2iWwjRYLBMLAl0kifvyHKWoC2JTLms5TSKFItya2h2ZC0w81copjpzrAg2pTkdU6IxVfflboftmfy8nHOoIPXoKo6BZChGq+VbPHJ/HZY56ktKp8fVLgeuV4KnRmqx7VmKLokBB0iHIXok4qUofNGZGoVUguWSp+APp2AEo6pVDKvvZduNgsCpcaxbHxvzopCDLyWGHgBYafBaYz1y1RCrUq2kMjacyQRNEnIlPAPv9TR1YJ0zCgpQuqgNrBQWIzznwPq5t+JaOKcpisOcD8S6QStYZuhGLLs9qFtn3ayhWm2YZSmtL3QQ9BSMADhvSs6GEXeDBp5C47EP3B8kr7Pz/MVe4lLSFxCS83jnGHWbGKTnGI6VZTWoa2j64WdsEmQrBUwJTLm3Q4KWfhzEN/7ViDQQoZq4jz0KFX1eXPUm/tR22qPcdcORltdoCOOOBcrT1oreKENI82qKu9H+wbf+CpnpZokokEim6SiSVNktFRCIgSJEAjhvaZJyM9slhKKk+jKLgZD6RxD41gudagkHlCaYLDJBlV3CC/oXOXujZTkfX5nQiKboVpv5NX2RRQ5SDAmx7oh2ih/DckWOElpuvW143Bol9NVi/TpsOxatMs2hWszkyhaiWAug/lGgmGadiLZ3JDMpl7jbGgFC0U4f8OzXAKJa5CoFs5ZEuW9j9bq8BLhvbnOCqwsfRWuv2JQqsmUnaPtWpQ0Gcqhr1K2jsLAUqnoa9/AfWi8lttUosikoCimKJT3KnZkFwoQhSAXBYfkj+iVB+ouL1WPWgg6gK6kFF7LsY5UjCXUG6dDTl718qlC7uRIQBoKtPEvrb6auIHDhEjGDK3Qb1k7X0neN8Z3XgndSwBKq5C0aSWKphJMp5BKRbfUvrpYtHDCUNh+3QnE2tIbazbHCF9oI0nDuT7uKcN7xOrOILL+33vIxnvyjvctPV6nyaMLgR4+3KpVotFiWzvRYFtnJjwOYx4RUSdg2xD6zEhlk0Yy59+wgmBipqZ8gq3TFGLAkqyq1bzRJp1EkdJSCTOpoFQKKQRDq8iUd45L4VsyTamUFvMI16UW6rXDEPoYhE0cSTJUJefW5r58XWoS2fKdFpRvp9SW82S06csF+vowxpZ1xZZPxu770GMIwRpXUjovQ6FI0LII4ZEsrFfQcA2cgaTw3pOZ1N+IGhLms9QnMKcCECxjsaVjIHyDaLAUIQncOhMSxL3h4R9UVbsYWXtmEufXrURCFjyPznlDV4W2Qc64EN7xCuw9belp7wFqqKROrc9cRiba5HQZ2g5aFOB82b9xmlx7z4Eio23bFGquNoIdltx1faWp843KR0ZJ5QkKjLVz8l4mPx6iFu6sWvbAjN1E4hJmRYv5LCFVAlMYhsb6cJ+R9JTw0x00lWKLna2NMAN1Q3KLCWPo5/ioYHjxqPejluqlMtJqj2C1+eP7UN/Iw5Y7gxc5CXIOsqquTEmTqdpYtBRURQ3a5UiXeI+V8RWOCb5QIqFB4lJ/POvrQYRQtm8ELoFMKqCJLrwXeGA0FHDILdMXh9G2j7E5UvpqW+da3ksu/H5WLwII/7sQGVKk3iDwaYKCAAA1vUlEQVTCegMkdGSoVPm9LEYZkspzCtPB4qv8fNK9DV53L0/SN4d86yMS+nIObU6itNPMk7KpIZjP/Hk8ncBsBs0QCh1owWJh6ZXWG6lCkFsbvMItRCL89UiJEHYkvFqfZwYpWwipUNLL/LRdi5ZIyUjAghaaoTEslb7QYGgcfW3JraGlEppK0FSKbpkxcG0Kcoaiy0B1/AuK9UVXdXjZ+U4B1VnjU0Z8ikZCCOWKylh3Pl3DDer2Tg4bpGwSJg0fvz++sjgNodQ0tPDajDKKXuk9WT1d0nFDpJjGOol1vrXVdCrIVELbqxPRDDrIldZZShMtyiCRFDzFoVOLj7T468VSFdFMvvCMX+9eUidcKri604FAjBmjMoTbJ6Mk41XZjyTOrZ8O22OJB9X8fT0oy5IrrriCM888k6mpKXbu3MmrX/1q7rvvvmN+7qqrrgoX5ejn9NNPn1hmOBxy2WWXsWXLFqanp7nwwguPav4aiUQikUjkxOPwnQ5W+okG29rZMB62fr/Pbbfdxp/+6Z/yjGc8g4WFBX7/93+fl770pdxyyy3H/OxP/dRP8dnPfrb+O0kmd+uNb3wj//RP/8THP/5x5ubmuPzyy3n5y1/Ol7/85XXZl2PiXPCoyGBg+jdxJTMS1aIpZrDKYNFeA0w2kSg0JWXQ73HOi+EmokkmMjKXkglBprz3ACQy5GyXBkrhp6dCMG3mvHilKCmdb/tSSXQcifeK+FwL64ZgmyRpAyW8KG9TztJyMyinGIqqpVWOKcsQKvKJsVKk/k3YWUpyjBv6cAQhCRvfp9TKECq2PhHclQ7rUtpJQsOrVTCXhT6A+PfKRHtPoXE5uV32gpZBAqLOYxIZ1VuolGkIMyUo5ZOlE5dh8TlfifSyIgMjyEMD6kQKEicpjGNoLANtWbIDcpEjEMyaacrw5iydJBMtjCgobY+B7vnQl5AokWJc6dvriISUhKabxgifgO5lFDq1MK51w6PDjEL4/rT44+zfsn2TaCVDDhKViKh/H5vFS8FkUjKV+jwm7XxIdNEM6BhFKhQzifeCJkLQzJLQWgxKYzlYGnzWZKUnCN4jFsKBR3hmJwoLqlP/qDNMjp1oI4Fev5ujvqKJavl8ROl15aRIvN6ZwXunsBhTkAd5k8q7Un2PFAkiFM0YfHJ35V1LJGTSXx8CsJliqczIyemLIT3rOCzuZ2iXKO3AS6fIEBoUQZONFg6NFI0QpvJ+EaUaEz1Qw8kdwo0GbYb19vqh8hI/xhVeANZ66RYfGrQYZxkaf44jJDrJsUpj3Q4aeh7rfP/apvLtnpqhL2dXC5ZKWMxLlujTML7JexlyURtiqpZsMXbZrzN4bCYEXYVvqSRldd0oEukDltpkXj7IaQ7lisKYuo2VwdJ0Caoab6Vo6hZaGhw5XbOfQblQX7MO63X/hKASoPXJFKWPNLj+6BRyNshc+HtmqXs+PzC0LauueRckavw4+98T0SAV3gtrpaUl52i7GSyWRV16WSLZpS87TJkmA61IpCAT1D1QWwoGY/qPOoT0E5cghPDh5aBROLoC7NhzACqZJ3/uq5GwdDhXCe226mKCqjG8qK4Tfy15bbbxfNdqjLzXd1SUsEL6wsPAqsK50WJbMxvGYJubm+OGG26YmPY//+f/5FnPehb33HMPp5xyyqqfTZKEHTt2rDhvaWmJ97///fz93/89L3jBCwC45ppr+Mmf/EluvvnmuiHskeR5Tp6PquCWl5cf6C4dTZ0EOnqYCFKSpBn6QmZI4YVbZUjqBR/uKVyH0vaCW92iVJOmnKMQbVqu6dXzw7NCBeNMu1Gz5qYKumbOhxKWQ4jHFxt4nS9/YavRtkK4sYTKJWFJRYumnCOjTeZ8qMlia+0rX0gxrI0iEW4uvhLSC7sWpu8fVEF0UoiEHBnU/zVWmiAeWzDQDbL+LLOhYms69Q9X43w+jnY+Ddfi0GZArjt1o2S/GwolQ0gKr8dVuh5S+IoyGfoQSmRo3A1Da9G5YypRDIxvEi0QDIxlYDVLdOjIQ95AEwnOjh4GXhQ4Q5GFhOhBnZBu5VQIp4WHIxblFJlo+bw1epQ2dJAY64RQ63itemcLlZWi6lhRUMgc8D1n2yqhnfh5qYRB4citpW8LFtUhLAaJYlhuZUpkTKd++aYCa6EnJJSg8WF5P64Cf1pUHTlWKiY4zuVQP4DGOx+MenpK0fQGRTIbvtKHB4UcBQaMCW3prddq84n9R5c++HCzAQNGKEojEUognX/LT6QvKJlKIBMK5RQDMaDPYfr6AIXpB8NqlPwtxKjyE2dJVbuutPbq9436BctvfxCmDjlvxuIrBMdyWv1+eKFqf20Iat0tGyrKg3q/N/40MkmYM9PkNmGTdEwpx2zq17lUKg4XsFhYFumxJA+F8HACwuv1+bxLX12bs1xvrxCjHqvV31Io/yJJig15SUoIlJBIJH0xYGhyunIJ4QSt0IfXugzjQIZUgwYpQxQFgtL0KXUn5AHK2iCuipy06NfntXUGZwY45er99y+DXrfMv+hU106QvyNFiNE5IQRI6V8EEtmueyVP2fDyKQf06aNlztB10aZPj610ygSHYi7zWoypgExBR/sX46GGnBItSqRTdTjXWTMm+jx+Uo6MNl8cEQyx+n9wzoc5R5FNiZSjHsHVOVJ/pd0wj/QJnIuG2YlgYx7dwNLSEkKI4zaS/973vsfOnTtpNpvs2rWLq6++ujbwbr31VsqyZPfu3fXyp59+Oqeccgp79uxZ1WC7+uqreetb33pC9mN0q5ATzxFBSpq0SYP4JFB7YFLXoGnbFKJAk6NdTq69YKm1htSVJEmKVtPkomBgUnqlQgpf+ebwyb6dwtC3JVMqxThHIiQNl2GdpnQDX2zgqjc+EBMViZPCpwJJIps0mabp2j7BHUMhCkyVCFtXzgUvj6ikDBwaX6auTR+BwqqQRyIykBYt/MPK4mU2ClKcdKhCoV2b2UwxI7xBmhufT9bXvvjChYRk63Ivp0CV+xQMpHBjUyJD234wCFSo1BOAvxmX1pE7Q+5K0sEUJlSIWefo25IFeZguhxiaJRA+AdvInExMkbg0tKaxwfMVcr1CFZsT1reqCZV43SACrEhIRdPnKZkC6wa+KfRx34It1c1d4D2YVcL4kGU0m4Lh73OWtHMY66v2ujanIzt07UG09SKjJtEYs42WnQ7Hzp8CUhAEQXsMXRc75o2tEtOPPNePNpmO/ttPHJe5qURphc9XU22UTH2HAhy2TuwfyT1YUY5yg6wBUQavWuYflk5jKHHC0RcDCpegnCLVLQyS0gq0814TVXnaBAgnKESfbrmfYblUy+1Uor5VSypJgpDe++GT903tTa7+t84fE0HVxquSbihwIU9L4A1y53JfhSkUkiZS+hes6qE/fm5oIXDa0pdtOqJPt2yiG4IpZUmlpaclCwUcHBgOlTnL6jA9c6gukklkm2mxxRtvTmKF73bi11MZPJWnszpc0p/XOHIKnHU0hK+iRsBQ9OmzRL88gJINjNpO282Quya9UtFQ/kVSCuG9ngLfFcBViv0SSOuXD+NKCttDCOmleIJX12oTcv1GBos/9yupCxvOK4EI+bPjHWZkEC1WJGSuRcM1mKJFiaYvOgyCR7UyErvpMqlO0K5BKlMyCanyxv4g5OsNjWUoBxTkyCAOXB17W+ctj6o6/TVS5dZmXlS5zlLyV5EIwru1x00kddeRaox854yqJdyGyXI6itVbU0VLbq1s2KM7HA654ooreOUrX8ns7Oyqy51zzjl88IMf5DOf+Qzve9/7uPvuu3nuc59Lp+P7Du7du5csy44y+rZv387evXtX/d63vOUtLC0t1T8//OEPT8h+RSKRSCTyWMLhDbaVfqK5tnYeMQ/bRz7yEV7/+tfXf//zP/8zz33ucwFfgPBrv/ZrOOd43/ved8zveeELX1j/ftZZZ3HOOedw6qmn8rGPfYxLLrnkQW9fo9Gg0Wg86M8fSeVxqHKOfMsfFbSPvNtbuxycpSl92yVfCapD784B2vSpGv2WGkrVYui6dVuYpJBeskAKjHUU1nHIdVhSh5i286QupYEXltSUFKbnq0NX8JBU+VF1VV+oQvRzktq7NhR9cnoUtuorKkf+b2Hrz3jPoKurToVIQtmQwEmDDb0Jfb6HRUrfWsm4IU4ZZPlEJC2mEkUqfBhiuTAs6SED1aU0ObVOlNMhhKhwwtb5Y77vYRAxDc2TS9fHoFCh1U3fTtETfTpqAfIdZCRkUjG0miW5zKK7n6FeRJtB3ZzZqoJS5mSiTRoEPStZgfFwxXjZfeH6GKFJRZPEjfS5nDPeg1LtQ5WntpJsBlVVWvBsOuMrC61hYJcYyD6py9CuSWkdpXUs4Vgoc5bkAj13iFwvUZiubyyNJFEpU6ZJUyskohY+7cs+Azo+T3As5HxkZWi9r6OdDhvqVqgK9WeTR02EfaoKvkS265CXH6Ny5N06otVVFdb3Y+5bvRVK1NXUHQmKBOkUSktaNkUJgRTCC6JKSaoEpfWeJi9Ls1y3LfJh5wxrSzTUuWlSeCFZJTIMBSK0GXI4r2nmfLXg+OHz20pIJfCe0vHpztkgpDw6ttYVwbsWWsdZfxwK02E5O8xSPstimpAIL4dzuFDsH3pts8NqP31zKORIeq9PM5klS1ooF3pTOo21RdBgOzqE56zxvV2FQTOkIxdJadJwDe8pw5DTo1vuZVgukKi2F9SVIJ1ClNM0TULXeE+pkV6PztlRSyZqTxF1GLhwpq6k9HlhJZbStxGTCTLIpTj0pGYfMlwhts7Ls84gpAwySWEs8ULKSkBPlPTtQugD26Nq+9ZLDmGVIbdzJPksSiRY56U/FnNDV2sGrqSnlutrX9t+OG4llXbl+LlfVU77R4II0YiRnM0oH7K6lILnNexv5Y0bydqMevtuNBzUrQePmhcttjXziBlsL33pSznnnHPqvx/3uMcBI2PtBz/4AZ/73OeO6V1bifn5eZ72tKdx5513ArBjxw6KomBxcXHCy7Zv375V897WlXDRTWhMBeVz6wbocOMvRRMrdDCGekGTKx89uGRBYXre8JGWQvTRVpO6lIzUhyxEwWFxHz19kKFcpqlmmbbzOGH9g1cP6mKDtVwzQkgvA6IGWK+0xoAlL19Ra4bZej/DzgVjbayLQ0gstiGpHOvDMJXkhpVl6AkpKU0fk5QkWRNZ7kQNm6RSsFwaFvSABXWQnvX5eM6O6cjVBqOl6unnQ2SjHCPtcgZmwUsviCZGNFiSGT0W6Op9lGpIixmm3Ry5zFnmAP3yIKXu4dAI63P0tB1gVIFRJYUIGnrOhsbMbmI8fMi4oBDeMM3klA/5Of9wd+Eh4sPTrt5uz9FCmr5TgEMI6x8MIZEx18ssZwdoi3k6ukluFYU1CC04oPbRtQdrY02bAc4VDEpFIls0mULlgoFW3mCzmq44yNAsUJgeWg/DcV1LYsq4lMIkVfP38d66E/OrpHVXBNmLSkw4SGuIbDJ/rhLhdYlvxO5yHzpT/rwrnA/FK5FilaFlp+uOB5nOaIqMhlB03JCh7DO0nYkuCx7jMyaNAZl5o90pbOiu4M+xIuTV+Zwqf14W4TglE8fPCXfkTo8dVx1CqrZ+6E9oJQbDoDQ9uuYgBziJxnAajaStFAeGsHc44ID8EV29D2382Gk7rK+DRLbIRAuBF3vW9fwiHJfR+oz1HQ+kG/oOCFKTiIxUtn1YFcjNMnm5hDV9NJCbJX/OC03BkJadYiAHZC6jEANy2x11WKEyzE148apyYkc5slIqL3eDDfcbf5+opGVGubi2LpioDVy8wS+df1nTZkAhMoayixIK5SRduURe+mbw2nQRIsEKRV8fIlc9CtlDaokYTtNNfCHSoXLAklxkKHwjeR+01aN7YshFrTUVVxSYpn4BGRnLVY5bdf1kYV9H50iF1/UrcYy6otQFC9V5VRcePDJEw+yh84gZbDMzM8zMzExMq4y1733ve3z+859ny5YtD/h7u90ud911FxdddBEAz3zmM0nTlBtvvJELL7wQgDvuuIN77rmHXbt2PfQdeRBUF5y1mlIMQ1WT15YSwr+xV8+w3PUodQ8dFO9H3qMCrQc+MVcMEUIyVJ1aJNQ5n0LcKw8wLJfIVZcy6VEqn8Cb6+VQhThSmZ/Ejk33RoELVWoAiWx63STTCQ3KV1DedqHFisWvy5kwzYCrkszNqLLJ+bGxLgl5UgLrBgzLkmXZQCaKMt9CgqIn+izJffT1Yf+QMYP6Rl7nUYXcJmMLqqKD6gZorcFag7PGVx/KFqVIKGVOYTsMigVKNWCYzDCQvj3QUC9Q6KVgODuETIKlq7DWewu8uHDwJKLrB6MfDt8GpzoHrC3RKkcrn+Nmqty/2sNQ3dRXrris39CDHpoQI49oqaGnDmKVLxdOSClkTilyOmYfuV4aFTcEg0SbAf3yIIfThFxsIbMNNAYtc3r6ILnuBqX2Yb0PqwY0jqOyPp6/M5pSYbBWUQq/HutMXWnnRWYLpDU4aWoDZnxLRFWFqYch9ykUD4U8RklCmQzoCS+cbNAkMiMVbVLXoJB974HWnfCQrYwWC+jgLNReQtGFa9VVHlI7yrOyZW1wrJSTOJ4zOm64Vca6c6Y+d+0R50Z1PlQFFwN9iP3ZPZj8cXSKaRpKcqgcsE/ey3L5I4blUvhug7WDYLAIBmWKDi3jjBmizXD0YihGreoQwmvHmWFtYEnR855FmaJEEykUA72Isb3wkjYIHsqSUvXoiZSGnEa7goaYJrddcr101H3DNz4P4zZm6PrCpcr4NWEdYJCjQoM6F9dXa/p7Zh4KvHS4H6hwloWXoQSMKBnIJl2zn1x3wj4EHUSZMCyXELqDSYbY1FCanTR0g6Ec0JULdO3BcG2Y0bGvvWtFfZ2u+vISvJ7+GJUwboTWRSDGv+KMFTDUGm5jnryNaBk5t7pw7sbb2o3Lhik6KMuS//yf/zO33XYb1113HcaYOsds8+bNZJmvrDv33HP5lV/5FS6//HIA/uAP/oCXvOQlnHrqqdx3331ceeWVKKV45StfCfjq00suuYQ3velNbN68mdnZWX7v936PXbt2rVpwsG4ENffqsWrdEGd8Qml1cQohGJbU7Vb8m1Phb9hjnheHxtgBaChDUKyQXf8GXHUxcKHM3Q6wboAxOUXiuxEUuuO9aytcRLV3ZwKLdQV5uYy2eS1HYGyQn5gwJiqDw/ibf90aZvwBEAxCN6qiGx8nI4owLhqBpl8cwjpNTx1GIilcn7xcHuvQUL2Zj4fo/IPSiAHWjZ/qJmyjwZoBwmYYUSCFIpcdtB5ibB9je2gzJFdLwVgYYs2w3g9nQ7I4GiMKnC6p2irVYrjB64JzGDvwb+zOSw74m3ped2Xw1a1HluWPqi+PPCKjBP/woBp/lgtDPxeYtKRQAyReiHW8R2SVnF0bPTan0EssOcNALfgKWHwhQ1V96z0GVaFG2L6x7Rn9MeYVHPd6HrlM3Ut0JOvh/W4FzhhM6FfqGHkp/PmhcaThgXbEAx8HrsBixip4x6sdFaXp16GlqkCgKmSoKjtL3fMP7LF9qcfMydCRIQlVnRLNcGJbK2mb8XDtasdwpQe5F8sdhO+y9f1j8rPemCu1ZJEfMky6LIh5pE3oiwUGxeHQbWRA3SYsPNStGZKz5F8UqpeYsfOi6h9c/+5yv2chJD5K4k/qwh6ftqHDte37dxpbUGhfyTxUiwAUsoO2OaXuh/vHyJM02m/CPgfDK1Scj4eF6/tgVX07MYJj55YzuPASYeUAF4weH9nQFNLnPBe669tX2dIfO2HAghG+S4p1JdrlDJMOiWj4VJXQq3jkhaW+H4U/Rp4/RtdJ/YJR3aeq86cSv632vR4X/30jwydEKOrP2Il7ae1l2wD4kOjqnvbI2tgwBtuPfvQj/vEf/xGAs88+e2Le5z//eZ7//OcDcNddd3Hw4MF63r333ssrX/lKDh06xLZt2/iFX/gFbr75ZrZt21Yv8853vhMpJRdeeCF5nnP++efz3ve+d933KRKJRCKRyHjH4EmiubZ2NozB9sQnPnHCS7Ma3//+9yf+vvbaa4/7mWazyXve8x7e8573PNjNOyFUIRAXksn9W14ZvArhTcoptOti7JCqx5yrQi3jobL67bJXf3/lwRkXiKzK5Z11OKG9LED91n/skFWFqPWCCowrMLY/So4d95zV4qDjRQzV2+IRbYnG8zCOmOdGS9Xbos0yA2coZHfMGzDKwfPLuYl146pWYD6MUm2jT/6v3tAdAo0NybzO6PoN3lnn33xtMtrXynsACEZv7Tgwzo4KC+pjNe6dKSbe9B0GYzSWYV1gcLS3cWXv2vjYVOEWMTHdYmyXvHS1t9aHEwcjD8WR63Aaa4YUtqTUnYkEaDBHeDaow57HumqPdU1X2y7GPRNBJBSKMYdcyIOb8FQYrBk1y550L/pHQ+W1cU4CY2EkBFYIMKMejSNtxAwpMj+CR6YM1GGtMB7AyItz5H5Xx3EUzh4PgR45DiKEHY/2EBVj616BcG1aOyAvC7QZ0pf+hdZ7wHshhDYecqw8nhpr+hQ2n7ieR17RsW0NHnFXacDV+xa0/0LhzLjX3of9cwSja1Qbf51pBvh0iSqMV0Ufxvd77LgL4ftoOsZC1OF+esQxnBjTyhteTxTBM14V9ZQ4XVKS4igntqceX2EgyPsYV3k0e764hKpQKKeWZ2F03df39mNdJ2Edzg4nnwVhDAVhu2v5pfGCkPHfq/mrnyvjeW8PJ0GB8IR819VXX80nPvEJvvvd79Jqtfj5n/95/vqv/5rTTjutXmY4HPLmN7+Za6+9dsJJs3379nqZe+65h0svvZTPf/7zTE9Pc/HFF3P11VcfJby/kdi4W/Zjym233bbqvJEq/Vgz31qvKzSzFl43SIgGVfItrgpbTV5svvJpTMMKASKpjQZ/gevaxS5Eggiirc4GQ26NF1G9rlBlWQuCjldlAqPE4fqD9bSV1jV+gzvq9+omhddzk2oqhHt9qNTYAe7IarYj1lNVhU7eCKu/R2LBo96u8qgxo04UHyucGNv20QR11D6M33xrLaX6Jj463v5DRx/nIx8Aq3HUtoRtH40ZoQow9/tX7/uoArXqTejFjsdFX6tcGlOPb30ur/CAmNiWsWO45m0Xoj6vEQlVcr0fBz8+1fk4etEZbcfoOhtn/IE+uu78l9r6d//C44VbfR5TedTxqNczdm75CWPfF7a13u4qD2mV4zk+BuPXwnjS+KrXT92JoIGSLZTy2m0+PFnW+W8T94Xx7a/OPyyjvrArXJtjCvyTIVxZnzPODiavkSPvUUJRib86V/r70NiL1vh5OH5cV5o2vo4jx3mlcR1NVPVxFAiEzI465hPnk6gasVNfH1L6jhs+b7ZK/bCT5+Roo+p9W4lq+8fHyf9y5JiIse8f7d/E+jZg/hp4W9msFhJ9gNv8hS98gcsuu4yf+7mfQ2vNH/3RH3Heeedx++23MzXl8zGP193IGMOLX/xiduzYwVe+8hXuv/9+Xv3qV5OmKX/5l3/5kPZ1PYkG28PIyBMw/vYtwI1fpD7/xoly4uJbUdJhrOy7ur2IMQ/QUZ9zOuTMrf6dq257ta5qM1fcr2qfJj549LRVtu+o38f332mMWZ5svHKst8mJ7fbjPFltOfb3+Bv1kdvidG0wHJ00fsS6nT5iPUc+nG09/cjjvdp3rvUYrXx+lLjjjdmR51jt7SiOKhw41vFZdVvWcDM+ehwdjI//CstW5+OK+73ittmJ3/21IsY/FP4rjmkkTYzB2Lk1/h2r7tcq01aaPnF+HIOJfQ2t5rQZzz1zR4zZ2GfrClsz+X2r/b7qtVzliJVHbe9Rx6nOw8on9u/oda1w3I9sbD6xjpVZcbzHrlMHCGuAKmduhWM+/v3h+jCu9NfVUdt//HvS6tu/umE3Gv+RARu2vp4vJu49HDV9ReP1YcNhVmqbxQN7DgF85jOfmfj7gx/8ICeddBK33norz3ve89bU3ehf/uVfuP322/nsZz/L9u3bOfvss3nb297GFVdcwVVXXVXnzG80NqZoSyQSiUQikUcFDvBdVY/+cfiiw+Xl5Ymf8daQx2JpyVdAb968GTh+dyOAPXv2cOaZZ06ESM8//3yWl5f5zne+c2J2eh2IBtsjjFvhjczh8BVPbsX5x/q8O+LfSsse7zuPt66H+j0PhnpMxn8ewLqP57labZ8e6H6u9Nm1bMt6jeWDGbN6a9Z4Dq4HaznXHuo2rbaOB3p+PZLXxVHbUbXpCnIQD+h4P4RtHj9fVpp31LrGxviRGqv69wdzfayy/Q95DI/z+Wr++P9HTjvmZx+hkKnDYYRe8QfhuO6665ibm5v4ufrqq4/7vdZa3vCGN/Cc5zyHpz/96cDauhvt3bt3wlir5lfzNioxJBqJRCKRSGRdWa3owAG/9Eu/xIc+9KGJ6WvpNHTZZZfx7W9/my996UsnYhM3PNFgi0QikUjkUcoj4cFcaRsMq+Qg4kjT9AF3Nbr88su57rrr+OIXv8jjH//4evpauhvt2LGDr33taxPft2/fvnreRiWGRCORSCQSeQzwSIagtdAr/jzQ7XHOcfnll/PJT36Sz33uczzpSU+amD/e3ajiyO5Gu3bt4lvf+hb79++vl7nhhhuYnZ3ljDPOeAh7ur5ED1skEolEIpF141getqPKq4/DZZddxt///d/z6U9/mpmZmTrnbG5ujlartabuRueddx5nnHEGF110EW9/+9vZu3cvf/Inf8Jll122plDsI0U02CKRSCQSiawjbtQz+qg5D8xge9/73gdQdz+quOaaa3jNa14DHL+7kVKK6667jksvvZRdu3YxNTXFxRdfzJ//+Z8/oG15uIkGWyQSiUQikXXDCV8luuK8BxESPR5r6W506qmncv311z+gdT/SRIMtEolEIpHIOuIwlKvOi6yNaLBFIpFIJBJZN5xzmCPbCFbzjtEJJzJJNNgikUgkEomsI77sYLV5kbURDbZIJBKJRCLrhoNj6rBF1kY02CKRSCQSiawbDnuMkGg02NZKNNgikUgkEomsIw67isH2SPU3/XEkGmyRSCQSiUTWDcexig6iwbZWosEWiUQikUhkXVm9GjQabGslGmyRSCQSiUTWD7d6SDR62NZONNgikUgkEomsGw6Htav0Eo05bGsmGmyRSCQSiUTWDZ/DFmU9HirRYItEIpFIJLKOOJyLwrkPlWiwRSKRSCQSWT+cw0YP20MmGmyRSCQSiUTWDcfqBlvMYVs70WCLRCKRSCSyjqxedBA9bGsnGmyRSCQSiUTWmdV02CJrRT7SGzDOa17zGoQQEz8XXHDBcT/3nve8hyc+8Yk0m03OOeccvva1r03MHw6HXHbZZWzZsoXp6WkuvPBC9u3bt167EYlEIpFIJOBCDttKP7HoYO1sKIMN4IILLuD++++vfz760Y8ec/l/+Id/4E1vehNXXnklt912G894xjM4//zz2b9/f73MG9/4Rv7v//2/fPzjH+cLX/gC9913Hy9/+cvXe1cikUgkEongcK5c5Sd63tbKhjPYGo0GO3bsqH82bdp0zOXf8Y538LrXvY7Xvva1nHHGGfyv//W/aLfbfOADHwBgaWmJ97///bzjHe/gBS94Ac985jO55ppr+MpXvsLNN9+86vfmec7y8vLETyQSiUQikQeKwzm94s+D8bAdL6r2aGXDGWw33XQTJ510EqeddhqXXnophw4dWnXZoii49dZb2b17dz1NSsnu3bvZs2cPALfeeitlWU4sc/rpp3PKKafUy6zE1VdfzdzcXP3zhCc84QTsXSQSiUQijzW8DttKPw+UtUTVHq1sKIPtggsu4H//7//NjTfeyF//9V/zhS98gRe+8IUYs/JBPXjwIMYYtm/fPjF9+/bt7N27F4C9e/eSZRnz8/OrLrMSb3nLW1haWqp/fvjDHz60nYtEIpFI5DGLXeXngXnYjhdVezTziFWJfuQjH+H1r399/fc///M/8+u//uv132eeeSZnnXUWT3nKU7jppps499xzH9btazQaNBqN+m9Xa8XEBMlIJBKJ/Djjn2PuYdBAa7VaeA9bseoySZIclXZ05DMYRlG1t7zlLfW0I6Nqj2YeMYPtpS99Keecc0799+Me97ijlnnyk5/M1q1bufPOO1c02LZu3YpS6qiKz3379rFjxw4AduzYQVEULC4uTnjZxpdZC51OJ/wWEyQjkUgk8uNPp9Nhbm5uXdfxkpe8hBtvvJGyLFecnyQJX/ziF3nVq141Mf3KK6/kqquumph2rKjad7/73RO63RuRR8xgm5mZYWZm5pjL3HvvvRw6dIiTTz55xflZlvHMZz6TG2+8kV/+5V8GwFrLjTfeyOWXXw7AM5/5TNI05cYbb+TCCy8E4I477uCee+5h165da97enTt38sMf/pCZmRmEECsus7y8zBOe8AR++MMfMjs7u+bvfqwQx+f4xDE6PnGMjk8co2PzWB8f5xydToedO3eu+7qEELzgBS845jK/8Au/wJvf/OaJaUd61yIbSDi32+3y1re+lQsvvJAdO3Zw11138V//63/lqU99Kueff3693Lnnnsuv/Mqv1AbZm970Ji6++GJ+9md/lmc961m8613votfr8drXvhaAubk5LrnkEt70pjexefNmZmdn+b3f+z127drFs5/97DVvn5SSxz/+8WtadnZ29jF5E1grcXyOTxyj4xPH6PjEMTo2j+XxWW/P2gNhpfDnSqwlqvZoZsMYbEopvvnNb/KhD32IxcVFdu7cyXnnncfb3va2iQN51113cfDgwfrvV7ziFRw4cIA/+7M/Y+/evZx99tl85jOfmXCZvvOd70RKyYUXXkie55x//vm8973vfVj3LxKJRCKRyINnLVG1RzPCPRxZh48RlpeXmZubY2lp6TH71nYs4vgcnzhGxyeO0fGJY3Rs4vj8+PIP//APXHzxxfzd3/1dHVX72Mc+xne/+92jctsebWwYD9ujgUajwZVXXhlj76sQx+f4xDE6PnGMjk8co2MTx+fHl7VE1R6tRA9bJBKJRCKRyAZnQwnnRiKRSCQSiUSOJhpskUgkEolEIhucaLBFIpFIJBKJbHCiwRaJRCKRSCSywYkG2zF4z3vewxOf+ESazSbnnHMOX/va1465/Mc//nFOP/10ms0mZ555Jtdff/3EfOccf/Znf8bJJ59Mq9Vi9+7dfO9731vPXThhXHXVVQghJn5OP/30ev5wOOSyyy5jy5YtTE9Pc+GFFx4lbngkaxmPw4cP86pXvYrZ2Vnm5+e55JJL6Ha767KPD5QvfvGLvOQlL2Hnzp0IIfjUpz41MX+99m8tY33PPffw4he/mHa7zUknncQf/uEforU+Ifu9Vo43Pq95zWuOOqcuuOCCiWUezeMDcPXVV/NzP/dzzMzMcNJJJ/HLv/zL3HHHHRPLrNf+rGVsv/nNb/Lc5z6XZrPJE57wBN7+9refmB1fI2sZn+c///lHnUe/+7u/O7HMo3V8Io8xXGRFrr32WpdlmfvABz7gvvOd77jXve51bn5+3u3bt2/F5b/85S87pZR7+9vf7m6//Xb3J3/yJy5NU/etb32rXuav/uqv3NzcnPvUpz7l/v3f/9299KUvdU960pPcYDB4uHbrQXPllVe6n/qpn3L3339//XPgwIF6/u/+7u+6JzzhCe7GG290t9xyi3v2s5/tfv7nf/6Y37mW8bjgggvcM57xDHfzzTe7f/3Xf3VPfepT3Stf+cp1288HwvXXX+/++I//2H3iE59wgPvkJz85MX+99u94Y621dk9/+tPd7t273de//nV3/fXXu61bt7q3vOUtJ3T/j8fxxufiiy92F1xwwcQ5dfjw4YllHs3j45xz559/vrvmmmvct7/9bfeNb3zDvehFL3KnnHKK63a7674/xxvbpaUlt337dveqV73Kffvb33Yf/ehHXavVcn/3d3934gdiFdYyPr/4i7/oXve6102cR0tLS/X8R/P4RB5bRINtFZ71rGe5yy67rP7bGON27tzprr766hWX/7Vf+zX34he/eGLaOeec417/+tc755yz1rodO3a4v/mbv6nnLy4uukaj4T760Y+uwx6cWK688kr3jGc8Y8V5i4uLLk1T9/GPf7ye9h//8R8OcHv27FnxM2sZj9tvv90B7t/+7d/qZf75n//ZCSHcj370oxOwVyeOIw2S9dq/tYz19ddf76SUbu/evfUy73vf+9zs7KzL8/yE7O8DZTWD7WUve9mqn3ksjU/F/v37HeC+8IUvOOfWb3/WMrbvfe973aZNmya+44orrnCnnXbaidvhB8iR4+OcN9h+//d/f9XPPJbGJ/LoJoZEV6AoCm699VZ2795dT5NSsnv3bvbs2bPiZ/bs2TOxPMD5559fL3/33Xezd+/eiWXm5uY455xzVv3Ojcb3vvc9du7cyZOf/GRe9apXcc899wBw6623UpblxL6dfvrpnHLKKavu21rGY8+ePczPz/OzP/uz9TK7d+9GSslXv/rV9djFE8Z67d9axnrPnj2ceeaZE0KS559/PsvLy3znO985ofv5ULnppps46aSTOO2007j00ks5dOhQPe+xOD5LS0sAbN68GVi//VnL2O7Zs4fnPe95ZFk28b133HEHCwsLJ2iPHxhHjk/FRz7yEbZu3crTn/503vKWt9Dv9+t5j6XxiTy6iZ0OVuDgwYMYY45STt6+fTvf/e53V/zM3r17V1x+79699fxq2mrLbGTOOeccPvjBD3Laaadx//3389a3vpXnPve5fPvb32bv3r1kWcb8/PzEZ461b2sZj71793LSSSdNzE+ShM2bN2/4MVuv/VvLWK92Lo5v10bgggsu4OUvfzlPetKTuOuuu/ijP/ojXvjCF7Jnzx6UUo+58bHW8oY3vIHnPOc5PP3pT6+3Zz32Zy1ju3fvXp70pCet+r2bNm16EHv54FlpfAB+4zd+g1NPPZWdO3fyzW9+kyuuuII77riDT3ziE/W2PhbGJ/LoJxpskTXxwhe+sP79rLPO4pxzzuHUU0/lYx/7GK1W6xHcssiPK7/+679e/37mmWdy1lln8ZSnPIWbbrqJc8899xHcskeGyy67jG9/+9t86UtfeqQ3ZUOy2vj8zu/8Tv37mWeeycknn8y5557LXXfdxVOe8pSHezMjkXUjhkRXYOvWrSiljqrE2rdvHzt27FjxMzt27Djm8tX/D+Q7NzLz8/M87WlP484772THjh0URcHi4uLEMscbr2qZ1T6zY8cO9u/fPzFfa83hw4c3/Jit1/6tZaxXOxfHt2sj8uQnP5mtW7dy5513Ao+t8bn88su57rrr+PznP8/jH//4evp67c9axnYjjdNq47MS55xzDsDEefRoH5/IY4NosK1AlmU885nP5MYbb6ynWWu58cYb2bVr14qf2bVr18TyADfccEO9/JOe9CR27Ngxsczy8jJf/epXV/3OjUy32+Wuu+7i5JNP5pnPfCZpmk7s2x133ME999yz6r6tZTx27drF4uIit956a73M5z73Oay19U15o7Je+7eWsd61axff+ta3Jh44N9xwA7Ozs5xxxhkndD9PJPfeey+HDh3i5JNPBh4b4+Oc4/LLL+eTn/wkn/vc544Ksa3X/qxlbHft2sUXv/hFyrKc+N7TTjvtYQv3HW98VuIb3/gGwMR59Ggdn8hjjEe66mGjcu2117pGo+E++MEPuttvv939zu/8jpufn68rjS666CL33/7bf6uX//KXv+ySJHF/+7d/6/7jP/7DXXnllSvKeszPz7tPf/rT7pvf/KZ72cte9mMj6/HmN7/Z3XTTTe7uu+92X/7yl93u3bvd1q1b3f79+51zXnrglFNOcZ/73OfcLbfc4nbt2uV27do18R2nnXaa+8QnPlH/vZbxuOCCC9xP//RPu69+9avuS1/6kvuJn/iJDSPr0el03Ne//nX39a9/3QHuHe94h/v617/ufvCDHzjnTsz+3Xvvve60005zX/3qV+tpxxvrSsbgvPPOc9/4xjfcZz7zGbdt27aHXbbiWOPT6XTcH/zBH7g9e/a4u+++2332s591P/MzP+N+4id+wg2Hw/o7Hs3j45xzl156qZubm3M33XTThCxFv98/ofvz1a9+1Z122mnu3nvvracdb2wXFxfd9u3b3UUXXeS+/e1vu2uvvda12+2HVbbieONz5513uj//8z93t9xyi7v77rvdpz/9affkJz/ZPe95z6u/49E8PpHHFtFgOwb/43/8D3fKKae4LMvcs571LHfzzTfX837xF3/RXXzxxRPLf+xjH3NPe9rTXJZl7qd+6qfcP/3TP03Mt9a6P/3TP3Xbt293jUbDnXvuue6OO+54OHblIfOKV7zCnXzyyS7LMve4xz3OveIVr3B33nlnPX8wGLj/8l/+i9u0aZNrt9vuV37lV9z9998/8R2Au+aaa+q/1zIehw4dcq985Svd9PS0m52dda997Wtdp9NZ131dK5///OcdcNRPdV6ciP27++67HeA+//nP19PWMtbf//733Qtf+ELXarXc1q1b3Zvf/GZXluW6jcVKHGt8+v2+O++889y2bdtcmqbu1FNPda973esmpBece3SPj3NuxfE58jo5EftTHYu77767nraWa+vf//3f3S/8wi+4RqPhHve4x7m/+qu/WpdxWI3jjc8999zjnve857nNmze7RqPhnvrUp7o//MM/nNBhc+7ROz6RxxbCOeceFldeJBKJRCKRSORBEXPYIpFIJBKJRDY40WCLRCKRSCQS2eBEgy0SiUQikUhkgxMNtkgkEolEIpENTjTYIpFIJBKJRDY40WCLRCKRSCQS2eBEgy0SiUQikUhkgxMNtkgkEolEIpENTjTYIpHIw8r73/9+zjvvvHVfz2c+8xnOPvtsrLXrvq5IJBJZb6LBFolEHjaGwyF/+qd/ypVXXrnu67rgggtI05SPfOQj676uSCQSWW+iwRaJRB42/s//+T/Mzs7ynOc852FZ32te8xre/e53PyzrikQikfUkGmyRSOQBc+DAAXbs2MFf/uVf1tO+8pWvkGUZN95446qfu/baa3nJS14yMe35z38+b3jDGyam/fIv/zKvec1r6r+f+MQn8t//+3/n1a9+NdPT05x66qn84z/+IwcOHOBlL3sZ09PTnHXWWdxyyy0T3/OSl7yEW265hbvuuuvB72wkEolsAKLBFolEHjDbtm3jAx/4AFdddRW33HILnU6Hiy66iMsvv5xzzz131c996Utf4md/9mcf1Drf+c538pznPIevf/3rvPjFL+aiiy7i1a9+Nb/5m7/JbbfdxlOe8hRe/epX45yrP3PKKaewfft2/vVf//VBrTMSiUQ2CtFgi0QiD4oXvehFvO51r+NVr3oVv/u7v8vU1BRXX331qssvLi6ytLTEzp07H/T6Xv/61/MTP/ET/Nmf/RnLy8v83M/9HL/6q7/K0572NK644gr+4z/+g3379k18bufOnfzgBz94UOuMRCKRjUI02CKRyIPmb//2b9Fa8/GPf5yPfOQjNBqNVZcdDAYANJvNB7Wus846q/59+/btAJx55plHTdu/f//E51qtFv1+/0GtMxKJRDYK0WCLRCIPmrvuuov77rsPay3f//73j7nsli1bEEKwsLBw3O81xhw1LU3T+nchxKrTjpTxOHz4MNu2bTvuOiORSGQjEw22SCTyoCiKgt/8zd/kFa94BW9729v47d/+7aO8W+NkWcYZZ5zB7bffftS8I8OY/+///b8Tso3D4ZC77rqLn/7pnz4h3xeJRCKPFNFgi0QiD4o//uM/ZmlpiXe/+91cccUVPO1pT+O3fuu3jvmZ888/ny996UtHTf/0pz/NJz7xCe666y7+4i/+gttvv50f/OAH/OhHP3pI23jzzTfTaDTYtWvXQ/qeSCQSeaSJBlskEnnA3HTTTbzrXe/iwx/+MLOzs0gp+fCHP8y//uu/8r73vW/Vz11yySVcf/31LC0tTUx/8YtfzNvf/nbOOOMMvvjFL/Le976Xr33ta3z4wx9+SNv50Y9+lFe96lW02+2H9D2RSCTySCPceA18JBKJrDO/+qu/ys/8zM/wlre8BfA6bGeffTbvete7Tuh6Dh48yGmnncYtt9zCk570pBP63ZFIJPJwEz1skUjkYeVv/uZvmJ6eXvf1fP/73+e9731vNNYikcijguhhi0Qijyjr5WGLRCKRRxPRYItEIpFIJBLZ4MSQaCQSiUQikcgGJxpskUgkEolEIhucaLBFIpFIJBKJbHCiwRaJRCKRSCSywYkGWyQSiUQikcgGJxpskUgkEolEIhucaLBFIpFIJBKJbHCiwRaJRCKRSCSywfn/CgY6RoI9kDwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, tight_layout=True)\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", f=freq0, ax=ax1, vmin=0, vmax=1e3\n",
    ")\n",
    "ax1.set_aspect(\"auto\")\n",
    "ax1.set_title(f\"{lda0} μm\")\n",
    "\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", f=freq1, ax=ax2, vmin=0, vmax=1e3\n",
    ")\n",
    "ax2.set_aspect(\"auto\")\n",
    "ax2.set_title(f\"{lda1} μm\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e7b5db6-4a62-4337-9252-425d73162272",
   "metadata": {},
   "source": [
    "More importantly, we want to see the transmission spectra at the two output waveguides to verify the wavelength demultiplexing performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ca37f53a-fb88-461b-bc24-ea7fdea6ca0b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extract the transmission data from the mode monitor\n",
    "amp_top = sim_data[\"top\"].amps.sel(mode_index=0, direction=\"+\")\n",
    "T_top = np.abs(amp_top) ** 2  # transmission to the top waveguide\n",
    "amp_bottom = sim_data[\"bottom\"].amps.sel(mode_index=0, direction=\"+\")\n",
    "T_bottom = np.abs(amp_bottom) ** 2  # transmission to the top waveguide\n",
    "\n",
    "plt.plot(ldas, 10 * np.log10(T_top), c=\"blue\", label=\"Top waveguide\")\n",
    "plt.plot(ldas, 10 * np.log10(T_bottom), c=\"red\", label=\"Bottom waveguide\")\n",
    "plt.axvline(x=lda0, c=\"black\", linestyle=\"--\")\n",
    "plt.axvline(x=lda1, c=\"black\", linestyle=\"--\")\n",
    "plt.xlabel(\"Wavelength (μm)\")\n",
    "plt.ylabel(\"Transmission (dB)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66065eb1-1d93-4be5-b2cd-a0dc517b1c47",
   "metadata": {},
   "source": [
    "The result indicates a high contrast (~20 dB) and low insertion loss (<2 dB) at the two target wavelengths, verifying the EME result. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b1badfee-9628-476c-8307-bd9d9997d816",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a MMI-based demultiplexer in Tidy3D EME and FDTD.",
  "feature_image": "./img/mmi_mux.png",
  "features": [
   "Eigenmode expansion (EME)"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "MMI, waveguide, demultiplexer, photonics, Tidy3D, FDTD, EME",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.12"
  },
  "title": "MMI-based NIR/MIR demultiplexer | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
