{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "80074018",
   "metadata": {},
   "source": [
    "# Photonic crystal waveguide polarization filter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37a27f2a",
   "metadata": {},
   "source": [
    "Polarization control is one of the central themes in integrated silicon photonics. Different polarization modes not only allow for more information-carrying channels but also enable a wide range of applications given their different characteristics. For example, waveguide TE modes usually have better confinement and thus they are less prone to sidewall roughness. TM modes, on the other hand, have a larger penetration depth into the top and bottom claddings, which makes them suitable for sensing applications. As a result, integrated silicon photonic filters that selectively transmit or block certain polarization are very useful. \n",
    "\n",
    "This notebook demonstrates the modeling of a compact TM-pass polarization filter based on photonic crystal waveguide. The photonic crystal is an air-bridged silicon slab with periodic air holes arranged in a triangular lattice. It is possible to achieve a TM-pass but TE-block device within a frequency range by utilizing bandgap engineering and index guiding mechanism. The design parameters adopted from [Chandra Prakash and Mrinal Sen , \"Optimization of silicon-photonic crystal (PhC) waveguide for a compact and high extinction ratio TM-pass polarization filter\", Journal of Applied Physics 127, 023101 (2020)](https://aip.scitation.org/doi/abs/10.1063/1.5130160) are optimized for the telecom frequency to have a ~-0.5 dB TM transmission and ~-40 dB TE transmission. \n",
    "\n",
    "<img src=\"img/phc_polarization_filter.png\" width=\"500\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a172f231",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:52.513693Z",
     "iopub.status.busy": "2023-03-27T20:36:52.512882Z",
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     "shell.execute_reply": "2023-03-27T20:36:53.743740Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bcbebc6",
   "metadata": {},
   "source": [
    "## Simulation Setup "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "565a299c",
   "metadata": {},
   "source": [
    "This device is designed to work in a wide frequency range from 1480 nm to 1620 nm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e2bda8ee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.746928Z",
     "iopub.status.busy": "2023-03-27T20:36:53.746613Z",
     "iopub.status.idle": "2023-03-27T20:36:53.767979Z",
     "shell.execute_reply": "2023-03-27T20:36:53.767412Z"
    }
   },
   "outputs": [],
   "source": [
    "lda0 = 1.55  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.48, 1.62, 100)  # wavelength range of interest\n",
    "freqs = td.C_0 / ldas  # frequency range of interest\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7862239",
   "metadata": {},
   "source": [
    "Since the photonic crystal slab is air-bridged, we only need to define two materials: silicon and air. The frequency dispersion of the silicon refractive index in the frequency range of interest is quite small. Therefore, in this notebook, we model it as non-dispersive and lossless. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "65537c56",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.770319Z",
     "iopub.status.busy": "2023-03-27T20:36:53.770150Z",
     "iopub.status.idle": "2023-03-27T20:36:53.787690Z",
     "shell.execute_reply": "2023-03-27T20:36:53.787098Z"
    }
   },
   "outputs": [],
   "source": [
    "n_si = 3.47  # silicon refractive index\n",
    "si = td.Medium(permittivity=n_si**2)\n",
    "\n",
    "n_air = 1  # air refractive index\n",
    "air = td.Medium(permittivity=n_air)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebfa2951",
   "metadata": {},
   "source": [
    "For the photonic crystal to work as a filter, the geometric parameters need to be carefully chosen such that bandgap lies within the frequency range of interest. The design process would require the calculation of band structures. In this notebook, we will skip the band structure calculation and only model the optimized device. For band diagram simulation, refer to the [photonic crystal slab band structure calculation notebook](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/Bandstructure.html).\n",
    "\n",
    "Define the geometric parameters for the photonic crystal as well as the input and output straight waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f2d41dc3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.789734Z",
     "iopub.status.busy": "2023-03-27T20:36:53.789553Z",
     "iopub.status.idle": "2023-03-27T20:36:53.806981Z",
     "shell.execute_reply": "2023-03-27T20:36:53.806370Z"
    }
   },
   "outputs": [],
   "source": [
    "a = 0.42  # lattice constant\n",
    "t = 0.75 * a  # slab thickness\n",
    "r = 0.3 * a  # radius of air holes\n",
    "w = 0.73 * a  # width of the photonic crystal waveguide section\n",
    "\n",
    "N_holes = 11  # number of holes in each row\n",
    "N_rows = 7  # number of rows of holes on each side of the waveguide\n",
    "L = N_holes * a  # length of the photonic crystal waveguide\n",
    "\n",
    "D = 0.4  # width of the input and output waveguides\n",
    "\n",
    "inf_eff = 1e3  # effective infinity of the model\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fd085a2",
   "metadata": {},
   "source": [
    "To build the device, we define the silicon slab, input and output straight waveguides, and air holes. The air holes are systematically defined using a nested for loop. Due to the mirror symmetry of the device with respect to the $xz$ plane, We only define the air holes in $y>0$. Later, we will define the symmetry condition in the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fae873ee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.808914Z",
     "iopub.status.busy": "2023-03-27T20:36:53.808745Z",
     "iopub.status.idle": "2023-03-27T20:36:53.832922Z",
     "shell.execute_reply": "2023-03-27T20:36:53.832361Z"
    }
   },
   "outputs": [],
   "source": [
    "# define the silicon slab\n",
    "si_slab = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-L / 2, -N_rows * np.sqrt(3) * a / 2 - w / 2, 0),\n",
    "        rmax=(L / 2, N_rows * np.sqrt(3) * a / 2 + w / 2, t),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# define the input and output straight waveguides\n",
    "si_wg = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -D / 2, 0),\n",
    "        rmax=(inf_eff, D / 2, t),\n",
    "    ),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# systematically define air holes\n",
    "holes = []\n",
    "for i in range(N_rows):\n",
    "    if i % 2 == 0:\n",
    "        shift = a / 2\n",
    "        N = N_holes\n",
    "    else:\n",
    "        shift = 0\n",
    "        N = N_holes + 1\n",
    "\n",
    "    for j in range(N):\n",
    "        holes.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Cylinder(\n",
    "                    center=(\n",
    "                        (j - (N_holes) / 2) * a + shift,\n",
    "                        (w / 2 + r) + (i) * np.sqrt(3) * a / 2,\n",
    "                        t / 2,\n",
    "                    ),\n",
    "                    radius=r,\n",
    "                    length=t,\n",
    "                ),\n",
    "                medium=air,\n",
    "            )\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e441c407",
   "metadata": {},
   "source": [
    "A [ModeSouce](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.ModeSource.html?highlight=modesource) is defined at the input waveguide to launch either the fundamental TE or TM mode. A [FluxMonitor](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.FluxMonitor.html) is defined at the output waveguide to measure the transmission. In addition, we define a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.FieldMonitor.html) to visualize the field propagation and scattering in the $xy$ plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "043af5cf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.835394Z",
     "iopub.status.busy": "2023-03-27T20:36:53.835222Z",
     "iopub.status.idle": "2023-03-27T20:36:53.854876Z",
     "shell.execute_reply": "2023-03-27T20:36:53.854308Z"
    }
   },
   "outputs": [],
   "source": [
    "# simulation domain size\n",
    "Lx = 1.5 * L\n",
    "Ly = 2 * N_rows * a + lda0\n",
    "Lz = 7 * t\n",
    "sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "# define a mode source at the input waveguide\n",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))\n",
    "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_si)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-Lx / 2 + lda0 / 2, 0, t / 2),\n",
    "    size=(0, 4 * D, 5 * t),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# define a flux monitor at the output waveguide\n",
    "flux_monitor = td.FluxMonitor(\n",
    "    center=(Lx / 2 - lda0 / 2, 0, t / 2),\n",
    "    size=mode_source.size,\n",
    "    freqs=freqs,\n",
    "    name=\"flux\",\n",
    ")\n",
    "\n",
    "# define a field monitor in the xy plane\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, t / 2),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=[freq0],\n",
    "    name=\"field\",\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5c609d5",
   "metadata": {},
   "source": [
    "For periodic structures, it is better the define a grid that is commensurate with the periodicity. Therefore, we use [UniformGrid](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.UniformGrid.html) in the $x$ and $y$ directions. In the $z$ direction, a nonuniform grid can be used. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "34ea04d9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.857146Z",
     "iopub.status.busy": "2023-03-27T20:36:53.857001Z",
     "iopub.status.idle": "2023-03-27T20:36:53.875015Z",
     "shell.execute_reply": "2023-03-27T20:36:53.874421Z"
    }
   },
   "outputs": [],
   "source": [
    "# define grids\n",
    "steps_per_unit_cell = 20\n",
    "grid_spec = td.GridSpec(\n",
    "    grid_x=td.UniformGrid(dl=a / steps_per_unit_cell),\n",
    "    grid_y=td.UniformGrid(dl=a / steps_per_unit_cell * np.sqrt(3) / 2),\n",
    "    grid_z=td.AutoGrid(min_steps_per_wvl=steps_per_unit_cell),\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99bc4945",
   "metadata": {},
   "source": [
    "Since the TE and TM modes share different symmetry with respect to the $xz$ plane, we can selectively launch them by setting the appropriate symmetry condition. The simulation for TE incidence is done by setting the symmetry condition to `(0,-1,0)` while the TM incidence corresponds to `(0,1,0)`. \n",
    "\n",
    "For this simulation, we set a relatively long run time of 20 ps to ensure the field decays sufficiently such that the simulation result is accurate. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5f2deae1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.877016Z",
     "iopub.status.busy": "2023-03-27T20:36:53.876873Z",
     "iopub.status.idle": "2023-03-27T20:36:53.908548Z",
     "shell.execute_reply": "2023-03-27T20:36:53.907982Z"
    }
   },
   "outputs": [],
   "source": [
    "# define the te incidence simulation\n",
    "run_time = 2e-11  # simulation run time\n",
    "\n",
    "sim_te = td.Simulation(\n",
    "    center=(0, 0, 0),\n",
    "    size=sim_size,\n",
    "    grid_spec=grid_spec,\n",
    "    structures=[si_slab, si_wg] + holes,\n",
    "    sources=[mode_source],\n",
    "    monitors=[flux_monitor, field_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    symmetry=(0, -1, 0),\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cdcd5fd",
   "metadata": {},
   "source": [
    "To quickly check if the structures, source, and monitors are correctly defined, use the `plot` method to visualize the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "82aa2672",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:53.910507Z",
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     "iopub.status.idle": "2023-03-27T20:36:54.365508Z",
     "shell.execute_reply": "2023-03-27T20:36:54.365039Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_te.plot(z=t / 2)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "407055b0",
   "metadata": {},
   "source": [
    "To further investigate the grids, we overlay the grid on top of the structures and zoom in on a small area. The grid looks sufficiently fine."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "27380ab5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:54.367800Z",
     "iopub.status.busy": "2023-03-27T20:36:54.367597Z",
     "iopub.status.idle": "2023-03-27T20:36:54.617416Z",
     "shell.execute_reply": "2023-03-27T20:36:54.616920Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "sim_te.plot(z=t / 2, ax=ax)\n",
    "sim_te.plot_grid(z=t / 2, ax=ax)\n",
    "ax.set_xlim(-0.5, 0.5)\n",
    "ax.set_ylim(0, 1)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "287ae5bc",
   "metadata": {},
   "source": [
    "Lastly, we use the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.plugins.ModeSolver.html) plugin to visualize the mode profile launched by the mode source. The mode field confirms that we are launching the fundamental TE mode at the input waveguide. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a66f5a30",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:54.619585Z",
     "iopub.status.busy": "2023-03-27T20:36:54.619399Z",
     "iopub.status.idle": "2023-03-27T20:36:55.511430Z",
     "shell.execute_reply": "2023-03-27T20:36:55.510800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define mode solver\n",
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_te,\n",
    "    plane=td.Box(center=mode_source.center, size=mode_source.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=[freq0],\n",
    ")\n",
    "mode_data = mode_solver.solve()\n",
    "\n",
    "# visualize mode fields\n",
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Ex.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Ey.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Ez.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Ex(x, y)|\")\n",
    "ax1.set_aspect(\"equal\")\n",
    "ax2.set_title(\"|Ey(x, y)|\")\n",
    "ax2.set_aspect(\"equal\")\n",
    "ax3.set_title(\"|Ez(x, y)|\")\n",
    "ax3.set_aspect(\"equal\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36381b65",
   "metadata": {},
   "source": [
    "The TM incidence simulation can be made simply by copying the TE simulation while updating the symmetry condition to `(0,1,0)`. Then a simulation batch consisting of both simulations is defined. This way, both simulations will be running in parallel on the server, which will substantially save the total simulation time. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f67374c9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:55.514408Z",
     "iopub.status.busy": "2023-03-27T20:36:55.514158Z",
     "iopub.status.idle": "2023-03-27T20:36:55.619921Z",
     "shell.execute_reply": "2023-03-27T20:36:55.619472Z"
    }
   },
   "outputs": [],
   "source": [
    "# copy the te simulation to make the tm simulation\n",
    "sim_tm = sim_te.copy(update={\"symmetry\": (0, 1, 0)})\n",
    "\n",
    "# define simulation batch\n",
    "sims = {\"TE\": sim_te, \"TM\": sim_tm}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "947ba4e5",
   "metadata": {},
   "source": [
    "Submit the simulation batch to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3d61016a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:36:55.621948Z",
     "iopub.status.busy": "2023-03-27T20:36:55.621805Z",
     "iopub.status.idle": "2023-03-27T20:42:00.532885Z",
     "shell.execute_reply": "2023-03-27T20:42:00.531193Z"
    }
   },
   "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\">[12:27:55] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'TE'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-6fc6fd75-f826-4d7f-8c98-6678d62a00f3v1'</span>.              <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:27:55]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TE'\u001b[0m with task_id \u001b[32m'fdve-6fc6fd75-f826-4d7f-8c98-6678d62a00f3v1'\u001b[0m.              \u001b]8;id=694289;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=881447;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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    },
    {
     "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": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[12:27:57] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'TM'</span> with task_id <span style=\"color: #008000; text-decoration-color: #008000\">'fdve-005b5b77-6b4b-428a-95e5-d27a4ad43d47v1'</span>.              <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:27:57]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TM'\u001b[0m with task_id \u001b[32m'fdve-005b5b77-6b4b-428a-95e5-d27a4ad43d47v1'\u001b[0m.              \u001b]8;id=283477;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=548892;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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    },
    {
     "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"
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      "text/plain": []
     },
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[12:28:02] </span>Started working on Batch.                                                               <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">container.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py#402\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">402</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[12:28:02]\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch.                                                               \u001b]8;id=265555;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py\u001b\\\u001b[2mcontainer.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=386597;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py#402\u001b\\\u001b[2m402\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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       "Output()"
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     },
     "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\">[12:34:07] </span>Batch complete.                                                                         <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">container.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py#436\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">436</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[12:34:07]\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                                         \u001b]8;id=510864;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py\u001b\\\u001b[2mcontainer.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=531097;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\container.py#436\u001b\\\u001b[2m436\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
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       "<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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch = web.Batch(simulations=sims, verbose=True)\n",
    "batch_results = batch.run(path_dir=\"data\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d035558",
   "metadata": {},
   "source": [
    "## Postprocessing and Result Visualization "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c8eb58b",
   "metadata": {},
   "source": [
    "After the batch of simulations is complete, we first visualize the field intensity distributions in both cases. As expected, the TE mode is blocked and the TM mode transmits through the photonic crystal region. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2652b899",
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0VHUtezlLPjidTiQSiZzz8Xhcvr4QSOV8+MMfRl1dnXy+vr4eH/nIR/D6668vyH2WG7ffvgX//M/nYf36RsN0TU1VuPLKT+LWW6/Fs8++ujiVo1AWGGrrRKitM4faOgplblBxt8wppBG67777cMUVV+C3v/0tXnjhBXz961/HPffcgzfeeAO1tbVwOp149dVX8corr2DXrl34wx/+gF/96lf4+Mc/jhdeeEE1epZdJ7N8giBgw4YN+NGPfqRZhrIhXEr0ntGMqakpfOxjH4PP58Odd96J5uZmOBwO/O1vf8Mtt9wyp9FhLR544AH8z//8D5544gmcdtppOdeHh4fzKsfv98t/Q1VVVXjllVdACFGNFA8NDQEAqqurC6qzhFSO1l6RQCCAAwcOLMh9lhOHDh3Cr3+9D+8cejyv9N/69qVYs/rLePPNN3HWWWcd59pRKEsPtXXHF2rrqK1bFBYpFMJKhy7LPMEoLy+Hz+fDO++8M6/8DQ0NAMQ4LEqSySS6u7vl6xIbNmzArbfeildffRV//OMfMTAwgEceeUS+zrIszj//fPzoRz/Cu+++i7vvvhsvv/yyvJRED7N8zc3NmJiYwPnnn48LLrgg55BGG5ubmyEIAt59913D++W7bEXv/Ujnst/PfNm7dy/Gx8exY8cOfOMb38CnPvUpXHDBBSguLs5JO9clN3/84x/xzW9+E9u2bcOXvvQlzTRVVVV5Hb/61a/kPKeddhqi0Sj+8Y9/qMr685//LF9fCDZs2ACr1YqBgYGca4ODg7oj3Ccz3/72Fnz1q+1obKzMK31VVSm2XvdZfOtbXyvovt///vfBMIwq7lQ8HsfWrVtRWloKj8eDSy65BCMjI6p8vb29aG9vh8vlQiAQwE033YR0Oq1Ks3fvXpxxxhmw2+1oaWlZtoGXKccHauuorTOD2rqTEFLAkkxCxV2+UHF3gsGyLD7zmc/gd7/7Hf7617/mXCfE2FvQBRdcAJvNhp/85CeqtD//+c8RCoXQ3t4OAAiHwzmdsQ0bNoBlWXm5wsTERE75UqOntaRBIp98//zP/4yBgQH813/9V07aWCwme0P7zGc+A5Zlceedd+aMACqfz+12Y2pqSrdOEu9///sRCATwyCOPqJ7h97//Pf7xj3/I76dQpFFQZR2TySQeeuihnLRutzvvpStDQ0P453/+Z3zkIx+RvZBpMZ99CBdddBGsVquqjoQQPPLII6ipqcGHPvQhVT3ee+89pFKpvOqtxOv14pOf/CRef/111X6Mf/zjH3j99dfxiU98Ys5lLmf+8pe/4MUX/4rt3/rynPLddNMX8Oab/zDtfOrx5ptv4mc/+xk2btyoOn/DDTfgd7/7HZ5++mns27cPg4ODuPjii+XrPM+jvb0dyWQSr7/+Oh5//HHs2LEDt912m5ymu7sb7e3tOO+883Dw4EFs27YNV111FXbv3j2vulJOPqito7bOCGrrTk4YIhR0UPKDLss8Afne976HF154AR/72Mdk18lDQ0N4+umn8dprr6ncF2dTXl6O7du34zvf+Q7+z//5P/inf/ondHR04KGHHsJZZ52FL39Z7EC+/PLLuO666/B//+//xerVq5FOp/GLX/wCHMfhkksuAQDceeedePXVV9He3o6GhgYEg0E89NBDqK2tNXQTnE++Sy+9FE899RS2bNmCV155BR/+8IfB8zzee+89PPXUU9i9ezfe//73o6WlBd/+9rdx11134ZxzzsHFF18Mu92ON998E9XV1bjnnnsAAGeeeSYefvhhfPe730VLSwsCgYC8YV2J1WrFD37wA3zlK1/Bxz72MfzLv/yL7B66sbERN9xww3w/NhUf+tCHUFxcjMsvvxxf//rXwTAMfvGLX2h2WM4880z86le/wo033oizzjoLHo8Hn/70pzXL/frXv47R0VHcfPPN+OUvf6m6tnHjRrmjPp99CLW1tdi2bRt++MMfIpVK4ayzzsJvfvMb/PGPf8STTz6pWrazfft2PP744+ju7kZjY6N8/rvf/S4AyM4+fvGLX8h7O2699VY53fe+9z289NJL+PjHP46vf/3rAICf/OQnKCkpwbe+9a051305861vfQ3XXX8xKitL5pSvpMSHf/vmF7D9W9dh/+vvzGlUfGZmBl/60pfwX//1X/JnBoj7Y37+859j586d8vfnsccew7p16/DGG2/g7LPPxgsvvIB3330XL774IioqKnDaaafhrrvuwi233II77rgDNpsNjzzyCJqamnDfffcBANatW4fXXnsN999/v6qTRVnZUFtHbR21dRTKcWDxHXRS8uHYsWPksssuI+Xl5cRut5NVq1aRrVu35gR21XIhTYjoDnrt2rXEarWSiooKcu2116oCu3Z1dZErr7ySNDc3E4fDQUpKSsh5551HXnzxRTnNSy+9RC666CJSXV1NbDYbqa6uJv/yL/9COjs7Deueb75kMkl+8IMfkFNOOYXY7XZSXFxMzjzzTPKd73wnx9Xtf//3f5PTTz9dTvexj32M7NmzR74+PDxM2tvbidfrzSuw669+9Su5vJKSEsPArtncfvvtJJ+vzp/+9Cdy9tlnE6fTSaqrq8nNN99Mdu/enVOfmZkZ8sUvfpEUFRWZBnbVCgQrHYUGdiVEDLr6ve99jzQ0NBCbzUZOOeUU8sQTT+Skk1xnd3d3q87r1U3rfb311lvkggsuIG63m3i9XnLRRReZ/m2dbLz00kukqMhDRsf+n2H4A71jKvQ8CQSKya9//WsSCoVUh1aAZInLLruMbNu2jRAi/k194xvfkOsDICcIdH19PfnRj35ECCHkP/7jP8j73vc+1fWuri4CgPztb38jhBByzjnnyGVK/Pd//zfx+Xzzf1mUkxJq66it04LaupMLKRTC5JEdhB95al7H5JEdNBRCnjCEmKx9oFAoFMpx4Zvf/Campzvx0MM3zruMm256GPv2HsTf/tapOn/77bfjjjvuyEn/y1/+EnfffTfefPNNOBwOnHvuuTjttNPw4x//GDt37sRXvvKVnKVoH/jAB3DeeefhBz/4Aa655hocO3ZMtcQyGo3C7Xbj+eefx4UXXojVq1fjK1/5CrZv3y6nef7559He3o5oNLpg3ugoFAqFcuITDofh9/sx2fkYfF7X/MqYjqJ49VcQCoXg8/kWuIYnF3RZJoVCoSwhDru1IC9gDrsVp59+Dl555U3Vea04Tn19ffjGN76BPXv2qGJfUSgUCoVy3KHeMhcF6lCFQqFQljkcx8Hn86kOLXH31ltvIRgM4owzzoDFYoHFYsG+ffvwk5/8BBaLBRUVFUgmkzkOG0ZGRlBZKXryrKyszPGeKf1ulsbn89FZOwqFQqFQjiNU3FEoFMpSQsj8XUMLgpg/T84//3y8/fbbOHjwoHy8//3vx5e+9CX5Z6vVipdeeknO09HRgd7eXrS1tQEA2tra8Pbbb8vBlwHRY53P55MDMLe1tanKkNJIZVAoFAplBVKIraMzd3lDl2VSKBTKUiKJu0Ly54nX68Wpp56qOud2u1FaWiqf/+pXv4obb7wRJSUl8Pl8uP7669HW1oazzz4bALBp0yasX78el156Ke69914MDw/j1ltvxdatW+XZwi1btuCnP/0pbr75Zlx55ZV4+eWX8dRTT2HXrl3zf04KhUKhLG8ImX+8OuoiJG+ouKNQKJSlphCjtcAG7/777wfLsrjkkkuQSCSwefNmVTwojuPw3HPP4dprr0VbWxvcbjcuv/xy3HnnnXKapqYm7Nq1CzfccAMeeOAB1NbW4tFHH6VhECgUCmUlQ/fcLQpU3FEoFMoKZu/evarfHQ4HHnzwQTz44IO6eRoaGvD8888blnvuuefiwIEDC1FFCoVCoVAoebKixJ0gCBgcHITX651TwF8KhULJhhCC6elpVFdXg2UL2L68iMsyKSc/1M5RKJSFYsHsnIRAxGO+eSl5saLE3eDgIOrq6pa6GhQK5SSir68PtbW18y+gYHE3/6yUkw9q5ygUykJTsJ2ToMsyF4UVJe68Xm/mJxYAHdGkUCiFQAAIinZlvsUUKO6ouqMooHaOQqEsHAtk5+TiChB383XEsgJZUeJudokKA2r0KBTKQlDw0je6LJOygFA7R6FQFhq6xHt5saLEHYVCoVAoFAqFQll8GEEAM8/BzPnmW4lQcUehUChLCp25o1AoFMoKgJD52yxq6/KGijsKhUJZSgjAFLCXgKEGj0KhUCjLAepQZVGg4o5CoVCWErrnjkKhUCgUygJBxR2FQqEsJaSAuD9SfgqFQqFQTnTozN2iQMUdhUKhUCgUCoVCOb7QIOaLAhV3FAqFspTQZZkUCoVCWQnQmbtFgYo7CoVCWWqouKNQKBQKhbIAUHFHoVAoSwkhQAHeMgEq7igUCoWyDBAKWKlCl2XmDRV3FAqFspTQZZkUCoVCWQnQOHeLAhV3FAqFQqFQKBQK5fhC99wtClTcUSgUylJScCiEhasKhUKhUCiU5Q271BWgUCiUlQ2ZHc2cz0GXqlAoFAplOSANZs7nmIOte/jhh7Fx40b4fD74fD60tbXh97//vXz93HPPBcMwqmPLli2qMnp7e9He3g6Xy4VAIICbbroJ6XRalWbv3r0444wzYLfb0dLSgh07dhT0ehYKOnNHoVAoSwkB3XNHoVAolJOfRVqWWVtbi+9///tobW0FIQSPP/44LrroIhw4cACnnHIKAODqq6/GnXfeKedxuVzyzzzPo729HZWVlXj99dcxNDSEyy67DFarFd/73vcAAN3d3Whvb8eWLVvw5JNP4qWXXsJVV12FqqoqbN68eX7PuEBQcUehUCgUCoVCoVCOL4sk7j796U+rfr/77rvx8MMP44033pDFncvlQmVlpWb+F154Ae+++y5efPFFVFRU4LTTTsNdd92FW265BXfccQdsNhseeeQRNDU14b777gMArFu3Dq+99hruv//+JRd3dFkmhUKhLCWEgBGEeR905o5CoVAoK4VwOKw6EomEYXqe5/HLX/4SkUgEbW1t8vknn3wSZWVlOPXUU7F9+3ZEo1H52v79+7FhwwZUVFTI5zZv3oxwOIxDhw7JaS644ALVvTZv3oz9+/cvxGMWBJ25o1AolKWkENfQUn4KhUKhUE50hAIciGXy1dXVqU7ffvvtuOOOO3KSv/3222hra0M8HofH48Gzzz6L9evXAwC++MUvoqGhAdXV1fj73/+OW265BR0dHXjmmWcAAMPDwyphB0D+fXh42DBNOBxGLBaD0+mc33MuAFTcUSgUylJC49xRKBQKZSVABPGYb14AfX198Pl88mm73a6ZfM2aNTh48CBCoRB+/etf4/LLL8e+ffuwfv16XHPNNXK6DRs2oKqqCueffz6OHj2K5ubm+dXvBIKKOwqFQllqChJ3AJgFqwmFQqFQKMeHBZi5kzxgmmGz2dDS0gIAOPPMM/Hmm2/igQcewM9+9rOctB/84AcBAEeOHEFzczMqKyvxl7/8RZVmZGQEAOR9epWVlfI5ZRqfz7eks3YA3XNHoVAoFAqFQqFQTmIEQdDdn3fw4EEAQFVVFQCgra0Nb7/9NoLBoJxmz5498Pl88tLOtrY2vPTSS6py9uzZo9rXt1TQmTsKhUJZSgoNYk6jmFMoFAplObBI3jK3b9+OCy+8EPX19ZiensbOnTuxd+9e7N69G0ePHsXOnTvxyU9+EqWlpfj73/+OG264AR/96EexceNGAMCmTZuwfv16XHrppbj33nsxPDyMW2+9FVu3bpWXgW7ZsgU//elPcfPNN+PKK6/Eyy+/jKeeegq7du2a3/MtIFTcUSgUylKyEHvu6LJMCoVCoZzoLMCyzHwIBoO47LLLMDQ0BL/fj40bN2L37t34xCc+gb6+Prz44ov48Y9/jEgkgrq6OlxyySW49dZb5fwcx+G5557Dtddei7a2Nrjdblx++eWquHhNTU3YtWsXbrjhBjzwwAOora3Fo48+uuRhEAAq7igUCmVpoQ5VKBQKhbISEAqwd3MQdz//+c91r9XV1WHfvn2mZTQ0NOD55583THPuuefiwIEDeddrsaDijkKhUJaagkIhLFw1KBQKhUKhLG+ouKNQKBQKhUKhUCjHl0ValrnSoeKOQqFQlhK6LJNCoVAoK4IC4tyhADu5wqChECgUCmUpIZgdzZzPMUdx9/DDD2Pjxo1yrKC2tjb8/ve/l6+fe+65YBhGdWzZskVVRm9vL9rb2+FyuRAIBHDTTTchnU6r0uzduxdnnHEG7HY7WlpasGPHjvm+IQqFQqGcDBRi6+jMXd7QmTsKhUJZShZ55q62thbf//730draCkIIHn/8cVx00UU4cOAATjnlFADA1VdfrfIK5nK55J95nkd7ezsqKyvx+uuvY2hoCJdddhmsViu+973vAQC6u7vR3t6OLVu24Mknn8RLL72Eq666ClVVVSeEJzEKhUKhUE5Wls3MndloM4VCoSxLJHE332OO4u7Tn/40PvnJT6K1tRWrV6/G3XffDY/HgzfeeENO43K5UFlZKR8+n0++9sILL+Ddd9/FE088gdNOOw0XXngh7rrrLjz44INIJpMAgEceeQRNTU247777sG7dOlx33XX43Oc+h/vvv39h3tlJDLV1FArlpIXO3C0Ky0bcSaPNb731Fv7617/i4x//OC666CIcOnRoqatGoVAoSwrP8wiHw6ojkUjkle+Xv/wlIpEI2tra5PNPPvkkysrKcOqpp2L79u2IRqPytf3792PDhg2oqKiQz23evBnhcFhuj/fv348LLrhAda/Nmzdj//79hT7qSQ+1dRQK5aSlkIHMQla4rDCWzbLMT3/606rf7777bjz88MN444035KVEFAqFsuwgBY5IEuDAgQPw+/2q07fffjvuuOMOzSxvv/022traEI/H4fF48Oyzz2L9+vUAgC9+8YtoaGhAdXU1/v73v+OWW25BR0cHnnnmGQDA8PCwStgBkH8fHh42TBMOhxGLxeB0Ouf/vCc51NZRKJSTFuotc1FYNuJOCc/zePrpp3NGm7NJJBKq0etwOLwY1aNQKJS5MW/vYQBAcPrpp+OVV15RnbXb7bo51qxZg4MHDyIUCuHXv/41Lr/8cuzbtw/r16/HNddcI6fbsGEDqqqqcP755+Po0aNobm4uoJ6UuZKPraN2jkKhUChKlpW4Mxpt1uKee+7Bd77znUWsIYVCocyRgmfuCDiOU+2LM8Nms6GlpQUAcOaZZ+LNN9/EAw88gJ/97Gc5aT/4wQ8CAI4cOYLm5mZUVlbiL3/5iyrNyMgIAKCyslL+XzqnTOPz+eisXR7MxdZRO0ehUJYNdOZuUVg2e+6A2dHmP//5z7j22mtx+eWX491339VNv337doRCIfno6+tbxNpSKBTK8kAQBN09egcPHgQAVFVVAQDa2trw9ttvIxgMymn27NkDn88nC5C2tja89NJLqnL27NljuNKCMstcbB21cxQKZdlA99wtCstq5m4uo82AuCzJaGkShUKhLDmLHAph+/btuPDCC1FfX4/p6Wns3LkTe/fuxe7du3H06FHs3LkTn/zkJ1FaWoq///3vuOGGG/DRj34UGzduBABs2rQJ69evx6WXXop7770Xw8PDuPXWW7F161a5vd2yZQt++tOf4uabb8aVV16Jl19+GU899RR27do1/+dcQczF1lE7R6FQlg1k7rFZVXkpebGsxF02RqPNJzMMGN1rBPSPn0JZVkhBzAvJPweCwSAuu+wyDA0Nwe/3Y+PGjdi9ezc+8YlPoK+vDy+++CJ+/OMfIxKJoK6uDpdccgluvfVWOT/HcXjuuedw7bXXoq2tDW63G5dffrkqLl5TUxN27dqFG264AQ888ABqa2vx6KOP0hh382Sl2joKhUKhzJ1lI+6MRptXAkaCzigdFXsUygnOIs/c/fznP9e9VldXh3379pmW0dDQgOeff94wzbnnnosDBw7MqW4UausoFMpJDN1ztygsG3FnNNp8MpOvqDPKTwUehXICU/DMHf1+n0ysVFtHoVBWAFTcLQrLRtwZjTafjJiKOkbjuk4nTyqLijwKhUI5sVlpto5CoawgSAGOUQoKGbSyWDbijqJAS9gpzxuIPCrwKJQTDVKY0aIzdxQKhUKhUDJQcbfckIWdXhQLwVDkKWcEqdCjUE4ACo1zR6FQKBTKcoAuy1wUqLg7ATHfZ8eKaZiMwCOCQqixADKzAAxjOKpPZ/IolBMAuueOQqFQKCsBAQWIuwWtyUkNFXfLiazlmCzrgMNhBSFpeVnXrFjLfAvm0PGjQo9yPKHu3HUo2FvmwlWFQjkRsdvtYFm91SoUyolFIpGAQANua0Nn7hYFKu6WMU4nh9bW+qWuBoWSFzMzM+js7FzqalAolGVGfV09fD6vabr5dP3y8UdNu5RLy/H4jI7n53748GFMT0/PM/fJDREIyDxF2nzzrUSouFumEBAQwi91NSgUSqEUuueOLsukUOZFYYGGViZ672ypWyGpXvnUQ/MZTBzSUSjLCSruliVC1v8UCmVZU5C4W7hqUCjLmYI7+BRN8nlXZu/erIx55VsIQZbtfVxRJmNQL93iUHh84pMaQub/eVHhnTdU3C0nCNEPg6CZnICZQ/qFzL+U9y40/1LXvRCWc91XLAXvuaMGj7KyOVHb+7mIzYW+dz51Waz3ppVqQd47IPaJFM7j8hFkx+szZ1Q/U4d1mtA9d4sCFXcnAcoGhRcEDA0NYWJ8Aql0CizLori4GNXV1bBaraZlxWIxDA4OIhwOgxACu92O8vJyBAKBvOoyPj6OkZERxONxAIDX60V1dTXcbrdpXp7nMTg4iImJCfA8D47jUFJSgurqanAcZ5o/EolgcHBQXuvucDhQUVGB0tLSvOoeDAYxOjqKRCIBhmHg8/lQXV0Np9NpmjeVSmFwcBCTk5MQBAEWiwWlpaWoqqrKyxFAOBzG0NAQIpEIAMDlcqGyshJFRUWmeQkhGB4exvj4OJLJJFiWhd/vR3V1Nex2u2n+RCKBwcFBhEIhCIIAm82GsrIyVFRU5GUAJycnMTIygmg0CgBwu92orq6G12u+R4YCsSdSiECj4o6ywiAQ9/AODg5iZmYGAOByulBRUYGSkmLzDj4hGAmOYnR0FMlkEgzDyG2mw2HeZiaTSQwODmJqagqCIMBqtcrtvdRmqjv66vqEQiEMDQ2p2szKykr4/X7zZycEQ0NDGB8fRyol2viioiJUV1fDZrPlpFfWgwCIx+Nye08Igc1mk218Pu39xITY3sdiMQCAx+NBdXU1PB5tG6/qn/CZ/snEBNLpNDiOk/snFgsn11H1vIoyotGYbOMJIXA4HAgEAigrL8trFm90dBTBYHDWxntFG+9yu0yfO51Oyzae53lYLBaUlJSgqqpKt39CQ09pQMXdokDF3TJH2XAKAkFnR6fc6IrnBIyPjyMUCmHt2rWajb/E9PQ0jhw5AqJoHBOJBPr7+zEzM4NVq1YZ1qW3txdjY2M5ZXZ0dGDVqlWGQiWdTuO9995DMpmUz/E8j9HRUbnuFov+n+vk5CS6u7tV5+LxOI4dO4ZoNIq6ujrDund1dWFqakr+nRCCUCiEcDiMlpYWQ6GSSCTQ0dGBdDqtep6RkRGEw2GsWbPGUOCNjo6ir69PdS4ajaKrqwtVVVWoqqrSzUsIweHDh+UODiB+5pOTkwiFQlizZo2hOI1Go+js7FR59pI6LtPT02hpaTE0+ENDQxgaGlKdi0QiOHz4MOrr61FWVqabl0KhUOYKgTiIeOzYMdX5WCyGnp4exGIx1NRUG5Zx9GgXwuFwpjwCQgimpqYQDofR2toKt0FnPx6Po6OjAzw/u+c9lUpheHgY09PTWL16tWGbOTIygoGBAdW5SCSCo0ePora2NmcgVTnjJggCDh8+LA8CInNuYmJCbu8dDofuvaW2Obu9HxgYkNv7bJRPMjAwiJGREdV1yVFWY2MjSkqKde/N8wI6OjrkgV/xHI+xsTHZxlutFl1hHgqFcfToUdW5eDyO3t5ezEQiaGxsUNU5u4yenh5MTEzIvxNCEA6HZRvv8/ty7imVkUwm0dHRgVQqJV9Lp9MIBoOyjTcbgJaEHhV5lMWA+hY+Acn/y5/5+DLLEgYGBxFTNJzKUaN0Op1jDFX3JATd3d0qYadkamoK4+PjuvlDoVCOsFPS09OjMobZ9PX1qYSdkmQymSN+lJg92+joqGzItRgfH1cJOyWEEPT09Oi+FwA4duyYStgpkWZC9UgkEobPphzd1WJkZEQl7JQIgpAjeLPp6enRddk8PT2NYDComzcajeYIOyW9vb26nylFgeRQZb4H7StQTnJIxioSiEKqt7dXN63YJkZ0dz2NBkV7QORSZ+/BC3xebaaeLYtEIoZtYjwezxF2Svr7+1XiJ5vh4WGVsFPC8zx6enpU51Szdhkbr9feh8NhjI6O6t57JhLNEXZKjh07hlRK2w4Cxs9m9pnygoDuHv3PZWJ8HFNTId3rk5OTKmGXjdF7AURbphR2Ssw+02yYzL8VSyG2js7c5Q0VdycRRuILEDvrep3tUCikK1DyKd/s3tJskhY8z+tek5CWO2ohLY0xwkh4Gl0DRMOjJw6TyaSuuJIwejdGBief/GZ1j8fjuuIwEokYdiTMyje7N5Df81FQoLijBo+ycpiYmDAcbANM2szxMcMB1GQyielp7TY9FosZDrYp7611BzM7mZ0mWwKYtbnRaFS3TZ+ZiZgOtumWzzCm9yaE6NpxQoipLRD7INqieWpqCjzPG35uhdgqnucR0hGH6XTacHAYED8zs7/JbFaswKPiblGg4m7Zov7o0mkhL58MekGk8wkubSQEzESC0T3ynd3RS1fIvc2umaXJ5948z+sK50LuDeT37vTqWOi9C/2boWSQHKrM96DijrKCWGxbRXTO65FKpWadfRR4byWCIJgOwBrlX0o7mUym8hI/Uv7sd6f+PLTLyb43Y3BNi3hWGuku+eQlhOjO7FHUEELkWHdzPqityxsq7k4S8nE4AkB335rRfrZ80hSSP5+8gP4zLkbdC7l3ofmNPtt8Pne9exSS1+zaXNJQKBRKvmi1KdmzIEtpqxiG0d1zV8i9OZbNy+GJka0xmy0yfW8m9ze0c3nU/UTsn+Tdt+Iy+am3acoJABV3Jyi6yw90Ri4YhsDn80m/zJ5XNOY2m03XuYac1wAjhyj5eHXU8wRmtVpNPVK6XC5db5+F3NvsGgDZk9pc6yXh8/l0jXI+3tEKee8cx8Hj8Whe83q9pp48jeqXz3vPJ82Kh4DuuaNQ8iS7TdESLIW0mQzDqBxoKUt3u92mQmGh7KSWxSjyG+e3WCy6nqklO2S05yu7vWe0rumJF4bRfD4CgONY0Q5JYQs0DrvDAbuOp1JlvTTrrrTRGvXTqld2Of4shyrSVYfDYep12uvxguPY2XtTgacPXZa5KFBxdxJRW1sz21nXEHhGHiOtViuqq/U9jNlsNlRUVOheLy8vNxRo5eXlhl68zLxZGl13OBwoLy/Xve50Og2vV1ZWGnoRraqqMjTo9fX1utdYlkVtba3uda/Xa2jwPR4Piov1PZCZhYmora3VFXBmdbNYLIZ/E8XFxbrCMZ/rlAwFO1ShBo+ycnC5XHJ4G62Ovtvtlr02anWxjdpzBgxqamrEjrrWdYYxtEUcx6GmpkZ3fszv9xsOpPr9fsMBtZqaGsMBubq6Ot2BRI5jUVNTI//OQC30rFaroWfm0tISuFwZL6KSKFP8XFpaCpdLvw9QW1trOPMo21GNNGb9D7vdjkBA38YHAgFDgVZZVaXuA2S1qUY2nmEY0Y7qBUOnqFkkcffwww9j48aN8Pl88Pl8aGtrw+9//3v5ejwex9atW1FaWgqPx4NLLrkkx2FQb28v2tvb4XK5EAgEcNNNN+Usjd67dy/OOOMM2O12tLS0YMeOHQW9noWCirsTGGOvmUImDeSGyOGwYfXq1bMiKtO4cBYOq1atMp0lqqys1DQeXq/X1NUvwzBobW3NHfljGFRWVpqKN4/Hg9bW1hyRZbPZMq6pjePk1dXVobKyMsd4+P1+tLa2GhoVjuOwevXqHCEiiZ/KykrDe/v9fqxatSqnw+BwONSfhw5NTU2a4rOkpETTNbUSq9WKNWvWzBrdDBzHoaGhwTTGX1lZGRoaGnI+W5fLhdWrV5vOSra0tKCkpCTnfHl5ORobGw3zUjLQmTsKZU7U19ejIpDb2S8uLjYN32KxWLBmzZocm8KxHOrq6jRFgrK04uJiNDY25rSZTqcTq1evNhwoBIBVq1ZptstlZWWm4YbsdhvWrlmbM5BqsVjQ1NRkOBAIAIFAOerq6nJsvMftwerVqw0HMUUb36IejMy854qKCtTXG9t4l9OB1tZW2O3qulutdrS0tMLrNV49VFNTg+rqavVnyzDw+f1Ys2a1oehlWRarV6+WhbUkaBmGQXVNDaqr9UUtIPaBmpubYbPaVKLYYXdgzeo1mTh5rOKg6LJI4q62thbf//738dZbb+Gvf/0rPv7xj+Oiiy7CoUOHAAA33HADfve73+Hpp5/Gvn37MDg4iIsvvljOz/M82tvbkUwm8frrr+Pxxx/Hjh07cNttt8lpuru70d7ejvPOOw8HDx7Etm3bcNVVV2H37t0L977mCUNW0A7FcDicER8ctMf0Tjz0liAAgNvtxerVzbMpFEE8o9EYEokELFZxmUY+a/UlBEHAzMwMBEGAw+EwFSfZJJNJRKNRsCwLt9ud95p1iUhE9Opls9nyCn6uhOd5RCIRCIIAl8tlamizicfjiMfjYFlxGUk+AcglCCGIRCJIpVKw2+05gsuMdDqtCmKeT9B5JbGY+JlLSzHn+plHIhHwPA+73Z5X4HYlqVQKkUgEDMPoLl2S4iGdPBAAPEKhUF7LmrX45je/idTBPbj/C+fMuxb/8ewbGKs9Ez/72c/mXQbl5GE52jkzWlpacr5jDIB0WmzvCSGZ9j63zTTq4EjtvYUT7STLGr8vZVmEEMzMzCCdTsPhcMhtpl4J2fVIpVKy502t9t7sk4vGYojH47Barbo2Xq8MQSByey/aeLvue2IAxSyUaA+TyTii0RgYhoHHo7DxRHtIWt1HYWUbn1t3wbAcABB40VYJhMDp1FkymenWapWRTCQRi8Vm+ycWjf6JXn5CEIlEZ228HA9R3U84fLgT09PTqrK0WB4x7wq3c8BsuzRx55fhc8ytXyaXEU+i5LYn5l2XkpIS/PCHP8TnPvc5lJeXY+fOnfjc5z4HAHjvvfewbt067N+/H2effTZ+//vf41Of+hQGBwflWeNHHnkEt9xyC0ZHR2Gz2XDLLbdg165deOedd+R7fOELX8DU1BT+8Ic/zOsZFwrq7eAEh4DkCjxCMo3k7OwdI53P4HI54XI559V0sCxb0JfYZrPNWVQpcbvdcxZ1EhzHFVT3+YhZCdHQzX8ZosViyWsPnh5Op3POokyCZVnDQO1mWK1Wur+OQqEsGgSAxcLl7JWaC8r2Ph8ZrAyOnb03T1mvfLBarYbtvXwfneuuPNp7uW+ghGHAsoDXOx9bJQBgYbM5YLM5FOeMUddDkG28sm+Tr9BhORY+n1d/2aPJfIXNboPdrtM/UeTNLkUSuR6PO0fs6rLshd1xgBSwlSCTLzs0hd1uN1x2y/M8nn76aUQiEbS1teGtt95CKpXCBRdcIKdZu3Yt6uvrZXG3f/9+bNiwQbUcePPmzbj22mtx6NAhnH766di/f7+qDCnNtm3b5vd8CwidP6ZQKJSlRjJ48zkolBXKUvz1L/ZcqN4zzvvZ59hmKLd+HC+Oh9DJu8R5t6Wz3ee5xqxbscIOABEKOwBxG460P9Xv9+Oee+7RvNfbb78Nj8cDu92OLVu24Nlnn8X69esxPDwMm82WMyBdUVGB4eFhAMDw8HDOPk/pd7M04XAYsVis0FdVEHTm7iRBb5RPOdJIoVBOQCSHKoXkp1AoOczlm6E5y6XDYtvVQu6lzJvvklHtRJlUjDRTx0I1a2fSDhEAjGrVEZslcmaXZOaFTrp8cut91kZ5jf4+5vIcK1nYASjM62UmX19fn2qFlt6s3Zo1a3Dw4EGEQiH8+te/xuWXX459+/bN797LDCruljHJZBKjo6Pwer2GSwmzDVEqlUIoFEI6nYbNZoPf75/TvrhIJIKZmRkA4hLKuSxFFAQBoVBI3hvm9/vntIQzmUwiFArJe8P8fv+c9sVNT0/L+xw8Hs+cln/yvLjuPJlMykso57IvLh6PIxwOQxAEOJ1OwxAJWoTDYXkvo9frndMSzHQ6jVAohFQqJS8HmksMulgshunpaXkv41yWvhJCEA6HEQqF8s6zopAcqhSSn0I5iZmcnIQgCPD7/TltplanW/pKTE9PIxKJyHuozfZBK8vieUFu72fbzPztpLLNnGt7L7WZ0t4wn883p+0CyvbezMZrNR/RaBTT09MghMDtdsPr9c6+46xtIfI5Rd1DoRDi8bi8TULV+c4SeCKzgiiZTCEUFvsnc7XxBOLebmnvulH/JPvvhkDdP5m7jReQSCQQDoWRyCNgPGX+SB4wzbDZbLJTujPPPBNvvvkmHnjgAXz+859HMpnE1NSUavZuZGREdqBXWVmJv/zlL6ryJG+ayjTZHjZHRkbg8/nmvUVmoaDi7gQj7+l9QpBKJtHf1w8CgrKyMtEjZcZ46M3gDQ8PY2hwSDV6JHlWNNszlU6n0d3dPbtROIPL5UJzc7NpIzg9PY3u7m6VK9m+vj5UVFSoXDTrMTAwkPNFkryEme0XSyaT6OrqkoWdhNfrxapVq0zF7dTUFI4dOwae5+VzDMOgurra0EUzIBq73t5ejI+Pq87bbDasWrXKtMMRj8fR1dWFeJbBKCoqQmNjo6nhGxsbQ19fH5S+kySX3mVlZYZ5BUFAT08PpqamVOcdDgdWrVpl2uGIRqPo6upCMpk0TLeioTN3FIoh4+PjGB8fh9VqxapVq3QH5aRvQiKRQFdXV87SKL/fr+npMruMiYkJ9Pb2QhBmBYzk8t4orA4gtvfHjh3DxMSE6rzdbseqVatMO32xWAxdXV1IJBKq8yUlJWhoaDAViMFgEAMDA6r2nmVZ1NfXa3o2VsLzPLq7u3P2NDmdTtFbZGYgltFocyRh1d3djVQqpbpWXi566ZRXGMn5eVW6waEhDA0Nqc5xHIempiZVZz57NpJA7J90dXXJA88SHo9H05t1djmhUAg9PT0qGw+IoTOkEBHZewdFxBnMvr5+jAaDOfcQ89E2WmYBZu7mfWtBFOBnnnkmrFYrXnrpJVxyySUAgI6ODvT29qKtrQ0A0NbWhrvvvhvBYBCBQAAAsGfPHvh8Pqxfv15O8/zzz6vusWfPHrmMpYTuuTtBMAosmg9SB94wzegYhgaHcs7zPK/ZKGZz9OjRHGEHiB34w4cPw8jxaiwWw5EjR3JihADiSEd2g57N4OBgjrADxAb9yJEjOcJHCSEEhw8fzhF2gCg4jxw5YnjvmZkZdHV15TT6hBAMDAxgbGzMMH9fX1+OsANEwXn48OEcQ6iE53kcPnxY8/mmpqbQ09NjeO+pqSn09vbmfDaS4MwWbdl0d3drponH4zh8+HDOO1GSTCbR2dlJhR2FQlkQUqkUDh8+nCN8CGY76oIg4PDhw5p7XkKhELq6ugzvEQ6H0dPToxJ2gNhm9vX15Yi2bHp6ejTTJBIJHD58WNMGSqTTac3nA0TBeezYMcN7j4+Po7+/P6e9lwbpskVbNl1dXZppYrEYOjs7c96JBIH4fEeOHNG0Z6OjoxgYGFClz2ZYpx/A8zyOHDmiab+lsiQbr9WHmZmZwZEjRwz7J9FoFEePHtW0Z0NDQ6q+R+4eRAH9/QNU2OXJQuy5y4ft27fj1VdfRU9PD95++21s374de/fuxZe+9CX4/X589atfxY033ohXXnkFb731Fr7yla+gra0NZ599NgBg06ZNWL9+PS699FL87//+L3bv3o1bb70VW7dulWeit2zZgq6uLtx8881477338NBDD+Gpp57CDTfccDxe3Zyg4m4JyQ4iOh+UDcfY2JhsFLKbE0IIBk0ElLLxzWZqakpe6qBFPB7XFDASg4ODho3r8PCwrlBIp9Oawk6CEILBwUHd68r3okUkEjFcMmj0XqTres+WSCQMxR/P8/LmXC2CwaCh+DP7XPr7+3WvAcbPZvZeUqkUgjoGDRA/U73OAEWBtCyTxrmjUEwRBEElAhioV6qMjo4aDihNT09rDlJKFNJmxmIxTE5O6l43s2XDw8OG4m9iYsLQUUM+tkqPcDhs+F6SyaRsy0jWAYgiyKi9HxkZUdkyZX4+6zPVwsjGT05OGr6XaDRq+LmYvTfNZ8s4YUmlUghmfaZE8Y+SBSnE1uX/PoPBIC677DKsWbMG559/Pt58803s3r0bn/jEJwAA999/Pz71qU/hkksuwUc/+lFUVlbimWeekfNzHIfnnnsOHMehra0NX/7yl3HZZZfhzjvvlNM0NTVh165d2LNnD973vvfhvvvuw6OPPorNmzcv3PuaJ3RZ5hJRiKDLLkfZgExPT+duLmUYRKMx8AZGA4AcH05rmZ/ZiJ+URm+Zn5HRACDHDNJyDT0zM2MoDM3qZ3ZvKb/WvaX4b0bwPI9oNKq5VCjfe8/nmjKN1r2TyaTprFkikZBjCs733tKSlfnkpwAgAClguckKClVKoQCYbVu0rGi+7ZbWUv50Om24CgQQB7Xi8bjmkvR87623DSEfezE9Pa25tDMWixkKQ2UarSWK+doqaYma1jUzpqenNZeGSn0Ps3vP55oyjda9CSGmzy71A7T+ZqbD6rxU0J0Y/PznPze87nA48OCDD+LBBx/UTdPQ0JCz7DKbc889FwcOHJhXHY8ny2bm7p577sFZZ50Fr9eLQCCAz3zmM+jo6Fjqas2LhRJ2Wug1kPnOoOh1FPPJb5SmkPyF3tto6eBC3NsoXSH3zvf+hdzbKP9ifOYUFDaSSWfuTjpOJlt3vFhKW1Nofmqr5ndv4Pj0T/IdHFPmJ7rnaWNsilDgQcmLZSPu9u3bh61bt+KNN97Anj17kEqlsGnTJtNZlROJeS3BZBjTQ1mm3mZth8OuH/Qzg8Vi0d1ono/nH6M0heQv9N5mDkuM8lsslry8SurlL+TeZtfM0jgcDtPN9wzD6LoRXozPnLL4PPzww9i4caPscaytrQ2///3v5evxeBxbt25FaWkpPB4PLrnkkpylZL29vWhvb4fL5UIgEMBNN92UM2uwd+9enHHGGbDb7WhpacGOHTsW4/GWPSeDrTveuJwuTadhQGHtls1my8sz4/FqMwuxF/l40+Q4Ttc79VLaqnzy2u12XXtWyL1Zls3LY3d2fmlJqcPpyPxOhV0+EIEUdFDyY9mIuz/84Q+44oorcMopp+B973sfduzYgd7eXrz11ltLXbXjgyTecmCzjlkcDodq2YD8NSAEVosFRRrLDpXoLbcAgNLSUkOjxzCMoedFMw9jHo9H1zg5nU7TcAtGdTfzCMmyrKEXMaOyAaC4uFhXAJqFqQCM343Ze7NarbpeTs0+E6l8PYNZVFRkKmyN3o3Ze6MoKGjmbm4Gr7a2Ft///vfx1ltv4a9//Ss+/vGP46KLLsKhQ4cAADfccAN+97vf4emnn8a+ffswODiIiy++WM7P8zza29uRTCbx+uuv4/HHH8eOHTtw2223yWm6u7vR3t6O8847DwcPHsS2bdtw1VVXYffu3Qvzvk5iVpytmwdGbYtZm8lxHIqLi1XnlPv2zPKXlpbqDoLmE9qnkLrbbDZdF/Acx6G0tNQwv1H5xcXFpl6jjfKbtfcul0vXy6ndbjd1bW/WPzEayDSzhWZ1N/pc3W43nC46kJk3dOZuUVg24i4bydGDUac8kUggHA6rjqViTjN2OY3UrJhjwIBhODCMVT7AMLBYLFi1apVhsXX1dbpCw+/3G7r0l0IO6DWgDQ0NuqOZgCiw9AyPzWZDY2OjfsUBNDY26jaupaWlhkbNbrfrls8wjK6bZImKigrN/XiAKDzr6+v1Kw4Yll9ZWalbNiAajtraWs1rLMti1apVhqK7pqZG16B6PB5UV1fr5mVZFs3Nzbrl19bWGo72mv1NUTIs8rLMT3/60/jkJz+J1tZWrF69GnfffTc8Hg/eeOMNhEIh/PznP8ePfvQjfPzjH8eZZ56Jxx57DK+//jreeOMNAMALL7yAd999F0888QROO+00XHjhhbjrrrvw4IMPyns8H3nkETQ1NeG+++7DunXrcN111+Fzn/sc7r///oV+eyc9ZrbuRLJzi0GgPIDi4iLxF41BUKM2WWozJRGT7YyFAVBTXa0bWsflcum2x2J1GMPQOtXV1YYDlV6vV3cPM8dxaG5uNhQxRm2yUdlS+Ub2pL6+3nCgsri4WFf8Wa1WNDU16eYFjPsQRmUDYh9Cr3yGYdDU1GQYqikQCOQIfgm73Y6GhgaDmsO0fAplsVmWDlUEQcC2bdvw4Q9/GKeeeqpuunvuuQff+c53FrFm2hQu7LLLYcEwVlg4O6w2Ao/bgkBFwFCgEIgCbc3aNRgdHcXk5KQcxNxMHEn4/X6sW7cOIyMjqiDmFRUVeS2LaGhogM/nk71XchyHoqIiBAIB0xFDm80m31sKYu5wOFBWVmYanw8QO0YOhwPBYFBe3uTxeFBZWWkoSgHRODQ3N8uxlqQg5sXFxQgEAqZLHx0OB9avX4+RkRGEw2HwPA+n04ny8vK8AnEGAgG4XC4Eg0FVEPOKigrTUWKWZbF69WqMjY1hYmJCDmJeUlKCsrIy07q73W657sog5oFAIK/g9TU1NfB6vRgdHUU0GjX0/LliEX15F1QAz/M5nXq73W76t83zPJ5++mlEIhG0tbXhrbfeQiqVwgUXXCCnWbt2Lerr67F//36cffbZ2L9/PzZs2KAS7ps3b8a1116LQ4cO4fTTT8f+/ftVZUhptm3bVsBzrjzysXUnip07nlgsFrhcLpSXl8+uQDFou8rKyuB0OuU2k2EYub2XY7Xp5GUYBq2trXKbKQUxlwSGWZvpcrlU7b0UxDwQCJjGYwXEuGoejwfBYFAVxLyiosJUQHAchzVrZm28FMRcau/N8Hq9KhtPCIHL5UJFRUVeyzbr6urg8/kwOjoqBzGXBvnMbLzValXZeCmIeWlpqWl8PkBcabJ+/XoMDw+rgphXVlbmtWS1qakJfr8f4+PjchBzqX9itlTXbrfL9w6Hw4jH49TRlR5KF6vzyUvJi2Up7rZu3Yp33nkHr732mmG67du348Ybb5R/D4fDYqDvExHdJZiZy2AAJjN7x1jBMCxcLjeaVhk3etnfBZZlUVFRMe8ZFYfDYTqKZURxcbHuCJkZHMehurracLbJCJfLZTpDaES+IlgLi8WCmpqavIK1a+HxePISU1owDIPy8nLTJT962Gy2gr430t6umZkZdHZ2zruckxVC5ha/J7cA4MCBAzkzwLfffjvuuOMOzSxvv/022traEI/H4fF48Oyzz2L9+vU4ePAgbDZbzoBJRUWFHLJjeHg4p/2QfjdLEw6HEYvF6H7MPMnH1i0rOzdPGhsb4VcOhGXbS4YBCJEDWgNix95stkgPBqJAzEcQKfNI2KxW1NXWzrsv6vV6DYWg8l7Z92AYBoFAIK9l8Vq9Drvdrpr5nKv7N7/fr2qL8skvPQPLsqqg4XPF4XAUZONLSkryEpJacBwn2/jDhw/n5X10JVLI3jm65y5/lp24u+666/Dcc8/h1VdfNVweAeQ3cn28mb9nTC1hlw1dgEyhUIDTTz8dr7zyiuqcUdu3Zs0aHDx4EKFQCL/+9a9x+eWXY9++fce7mpQ5kK+tOxHs3KJiMnO2FOjOAip+XqhuqZYjmfmUnU+d58N88kt5TtSue/Yznaj1XBYUsneOdnnzZtmIO0IIrr/+ejz77LPYu3fvvEfkljdqgUcKGu6nUCgnBpm9cwVk5zguryW+EjabDS0tLQCAM888E2+++SYeeOABfP7zn0cymcTU1JRq9m5kZASVlZUAxH2if/nLX1TlSd40lWmyPWyOjIzA5/PRWTsTqK0zgRC1wJvH8reFlIfHW2qalT+Xp59XXbPFdCHLDbWEuaI8M5E3l1lArbQL9a5OdDFKoSwbhypbt27FE088gZ07d8Lr9WJ4eBjDw8OIxWJLXbXjSvbMH6M5g6eVj0KhLAsIFtVbphaCICCRSODMM8+E1WrFSy+9JF/r6OhAb28v2traAABtbW14++23EQwG5TR79uyBz+fD+vXr5TTKMqQ0UhkUfVaqrZsThMweJynZzl4KLWdBhJ0Jhtup9MrSOF/Icy/Ue1MXmhWC6nje6ySHCIUdlPxYNjN3Dz/8MAAxGrySxx57DFdcccXiVyhPCMhxDVqee0OCYHAUExMT4qZgq7gpuLKy0nRDMwAkk0kMDQ3lOP7Idx16KBTCyMgIYrEYGIaRPXTls6FZEASMjIzIjj9sNhuKi4tRUVGRV+yheDyOoaEhTE9PyxvBA4GAoTdKJRMTExgdHUUsFpNnQqqqqvKKgcPzPIaHh2VHNXa7HSUlJXk5XAGAaDSKoaEhRCIREELkjeD57rMbGxvD2NgY4vE4LBYL/H4/qqqq8orRl06nMTQ0JG9ilxzV5LvfZHp6GiMjI4hEIirHBflswKcAKHDP3Vz7t9u3b8eFF16I+vp6TE9PY+fOndi7dy92794Nv9+Pr371q7jxxhtRUlICn8+H66+/Hm1tbTj77LMBAJs2bcL69etx6aWX4t5778Xw8DBuvfVWbN26VV4euGXLFvz0pz/FzTffjCuvvBIvv/wynnrqKezatWv+D7pCWK62brGJxcT2Ptvxh9dn7rSEAJgYn8hx/FFVVQWrNb82c3h4GKGpWccfZWVlKC/XbjOzv6KRSATDw8OyYzKpzZQ8G5tZjJFgMMfxR2VlZU57r1VOKpXG4NAgQqEQBF6Aw+FAeXk5SkuzbLzOLFs4LLb3Skc1VVVVcrw35fPmLGckBCMjQbWjmkzdWdbcTiYSs/0TQojsqKaoKD8bPzU1pXJUI/VPspc1yzVRvANBEDA8PDLrqCbjmKyiInBCLhU+YaHLMheFZSPuqOehXLKDZhJCcOTwEdlgAKKb7JERsUFas2aNobetaDSKzs5OCMLsNygSiSASiWBmZsbU5f/g4KDsUEFicnISU1NTaGlpMdwgzvM8Ojs7VaPTklibmprC6tWrDcVpOBzG0aNHVX8n09PTmJ6ezmuDdm9vL8bGxuTfBUHA+Pg4JicnsXr1akOhkkql0NHRIbuBB4BYLIaBgQGEQiG0trYaCrzJyUl0d3fnPI/kGMHMEcrRo0dld+mAKNAlb2lr1qwx3I+TSCTQ0dGhCkAdjUbR29uLcDhsGl5jdHQUfX19qnNTU1OYmppCU1PTvJ3nrCikmbtC8s+BYDCIyy67DENDQ/D7/di4cSN2796NT3ziEwCA+++/HyzL4pJLLkEikcDmzZvx0EMPyfk5jsNzzz2Ha6+9Fm1tbXC73bj88stx5513ymmampqwa9cu3HDDDXjggQdQW1uLRx99FJs3b57/c64QqK3ThmC20z0VCuHo0aOq6+HpMMLTYdTU1Jg6DOvp6cHExIT8Oy/wGB0bxcTkBNasXqMSKtkkk0l0dHSoPP9GY1H09fUhFAqhuXmVYXs/Pj6OY8eOqc6FQiGEQiE0NDQYOu0ihODo0S6Ewur2PhgMyu290WBkNBZDZ2cneJ6Xz0WiEUSORTA9PY3GRoWztOzlrwCGh0cwODioOjc1NYVQKISmVU2GA6mCIKCz8zCi0ahcfiIzKCrZeItF38bPzMzgyJEjKqcaMzMzmJmZQSAQQG1tjexYR4v+/gGMBGeXivM8j4mJCbl/Ig2kan1y6XQaHR2dSCQSct3jPI/BwcFZG5+HOKUUNgNHZ+7yZ9ksy1zOZIuwgsrS+OuWlgYMDw1jJuMCOJtkMone3l6Dcgm6urpUwk7J2NgYJicndfPPzMzkCDtl2d3d3bplA0B/f7/usqNYLIb+/n7dvDzPo7u7W7dTJI3u6jE5OakSdkoEQUBXV5dhh+vYsWMqYadkZmYGQ0NDunlTqRR6enp0r/f19SEej+teDwaDKmGnJJ1O54jGbLq7u1XCTsnU1BRGR0d188bj8Rxhp6Snp4eGPjgB+fnPf46enh4kEgkEg0G8+OKLsrADRI9zDz74ICYmJhCJRPDMM8/Ie+kkGhoa8PzzzyMajWJ0dBT/+Z//mTNrcO655+LAgQNIJBI4evQonXWiFAwBkDJp1wYGBmYFhAbj4+MqYaeE53l0dXcZ1kGvXSMgCIVDGBkJZp2fJZFI5Ag7Jb29vbq2BABGRoIqYafEzJYAYnuvFHZKxifGMTY+ru6tKOxeNBLNEXaA+NwCETRtibKsgf4BRCMRzeW02bYk29oKgiD3IbT6U8FgEOHpjI3XWD4ZCoVVwk6rbJLxtqpFX18/EvG4Zt0jkQgGBwfpEk3KCQUVdyc4esJQS+QZdcQBcXRQr7M9PT1taFQA6AqgfO6dTqd1xaE0S2bExMSErjicmprSNVj51M+s7slkUtetcSqVMg0abPTexsfHTUfqjfIbXQPEWTg90RyNRg07QYDxuzG7NyFEtxNFUUAwu1RlPged6KGsICYnJw0HCoHCbFU8HtcdDEwkEoYDhQAwOqZfvpmdI4RgbGxM9ysdHA3qXBGZmZmZnV3KuRYxHCgEdN5NRtCYvTdBEHRtPCHE9NknJyfB89qfa3bfRatfNBrUfzdmtiqVShkOkhoNbEvl0xn3PCnE3tFXnDdU3C0SprN3OQ2DViMnncsVMuk0D7ldNFgSote457NZ38gwmBkNozR6xkgJIURXfBZy70Lz55M3nU7rzo6d6HU3SlPo3wxFhBAix/6Zz3EyO5WgULJZDFuViCc0Z2LyuXcymYSQ+U5mfzMLaXN5QchrJcRCtPdaLYpefkbxLxHXtuWpVNpUkCvvkf3e86q7QT8in89Ns+6EiOdN2lhBEJBKiTaezt4Zo/SFNJ+Dkh/LZs/dikBjjTuQccpCBM1Yd1Jqlsu6Jgd1ZeQyAOjuW8vH2YqRU5N88hdy70LzG6XhOE5XfJnlz8fRi1H+QuvOsqyp0dSr40K8NzPyfT8rGmkks5D8FMoKYSFslVmbqbyHMo5cPvdmGAYMw2h+LQtpc1mWFcs16eEulK1R7nGcT34lS20nzfIzYAqyk9npFtWJ3jKD7rlbHGjPaxEhmX/GiZTDE1l/yUTpZogHIYJYGiM2TOKGYBbyx6pYd86AgdVi1Y0x5fP5VCNwWhhtls4nxpZefpvNZupN0+Fw6DqDKeTe+ebXcwbjcrlMPVJ6vV7dDfb53NsojZkn0Nm/i1w8Ho+pJ89C7p1vGgpmfYjP56BQVhBmbQoDBkX+It3rZm2u5OVZXaZ4uN1uU6GiLD+7dZ2Lrcr+ajPQt0MSHMfJHjezy/B6vaaiI/vdKvP78mjLtZ6PALBYOFPvyWI/QNv5V3a5Ws9hZqv0nl06Lz97lk10OOymHrNdLhe4rAF2o74UhXK8oeJuCZibg5XcoYqc/XYZMVhbWwNWnt3LFXm1tbVgdTrzNpsNgUBAtxYWiyXHqYKSQCBg2ACWlJQYBi+ura3VvWZ23eVyGYZqsNvthh4nzUIGVFRU6D4bk3mvejAMg5qaGt3rfr/f0GCbPVt1dbVhZ6O6utpwNLS6ulo3L8uyhtdLSkoMDbbP55tTYG0KhUIxw+Px6Ao8BkwmlIu+x8mqqirD2RgxpID+DJRRe67V3istbnFxsUp8ZePxeFBUVKR7vaamxnBAzui6xcKhqqpKV3BwHGfoVbq8rBQOAxteVFQEj0f/2UxtfF2d7jUpPI8eVptNDEmgQ0VFhebgsPQuysvLYbfbZoVd1jvMu39CQyKYU8j+cjpzlzdU3C0RprN4qqUXwmz6zOydKPDUe+9cLheam1fBZrWBYTjxAAeWZVFfV4eSEn239AxEcVhRUQEwyjk8Bk6nM+OmWF8AsSyL1atXaxqusrIyNDQ0aOSaxefzoampKcfochyHVatWmYqEhoYGzcbf7XajtbXVUABZLBasXr1aU3xWVFQYGnNAFDn19fU597BarWhpaTEdsWxubtYMGeDz+dDS0mJozO12O1pbW3PEp9TJMBLsgPh81dXVOfew2+1YvXq1YRgFhmHQ0tKi+dkUFxebhlGgZCAoaM8d3YdAWWk0NTWhpKQETNY/r9drGnrGZrNptm0Mw6C6qhrVBgKHgSgEamtrc+5hs9nQ2toqr0JhsvJJv7e0tGiKU7/fj+bmZqPHhsvpRGtra45QYRgGdXV1mjZQ2TxUVVVqCjyHw4HVq1drCiA5Zh3DoLW1BR6NwciSkhI0NTUa1t3jcaO5pQUWq1Xl0ZKzWNDY1GQaq04KC5Rdd5fLhdWrW3MFu6Jh5LhM/8TlzlmhFAgEUFdfZyjMior8aGxszLHxFosFzc3N8Hg9usKQzt6poUHMFwe6526JMQxyrrEHT0yvhwCvz4tTTl2L6ekZJOJxWKwWeL1eWEzWjUvr62tqqhEIBBCeDkMQxACn+QbSttlsWLNmDSKRiCqIeT5BwAFREPj9ftlzp81mg9frzWu9PsMwqK+vR2VlpSqIeb6BtB0OB9atW4eZmRnE43E5wKlRXEAlZWVlKC4uxvT0NFKpFOx2u+FyTCUsy6KpqQlVVVWqIOZGM51K3G43TjnlFLnuFkvmM88jgDkgjlSXlZVhenpaDmJutvxHwmKxoKWlBbFYTBXE3EgUUrKge+4olDnBsiwaGxvFNnMmomjv82sznU6n3GbGYjG5zbTm2WYGAgGUlpYiHA7LQcyV7b1eq89AHLBsbm5GPB5HJBO6yO12m25NkPB6PDj11FMxPT0tBzH3+Xx57w2rqqpEeXk5wmGljXfn1YxYLRasXt2KaDSmCGLuht3Exkv9C7/fhw0bTkU4PC0HMff55mDj6+pQWVGJmZkZCIIAp9MJt8FsoRK73Ya1a9cgEonOBjH3KW28VAftxrikpBhFRUUIh8NIpdOw2Wzw+fKz8ZRZCnGMQgcy84eKuxMAaQZPU+RJf82M1OCw4vAFAxCSzuQHGFkICmAYBj6fF/DmJ8pm6yE2wFarxXApoBlut9tw6YkRLMsWtE/LZrMZBoE1w+Px5C1ms+E4znBJjRkOhyNvA5+NJKTzFWXZWCyWggKOO53OvMUoRQ0hBY5IUoNHWaHY7XbY7XaV5ZzL10HZ3s+1i85xnHmbmd3xV8RSK6S9ZxkG/syKiXyeN9s5isXC5azkUTqOMcxPCFwuZ66QzqfnTQgYhoHfb7wSR6sk6f42mxUlpcr+SZYoy6qHPPOY+d/tcSsEoZaoZKEn8FiWEWcYcwSdshyBLs+kLDlU3J1AGIo8GQEErOg9M6eArJm+jMdM9T3M6kChUCgUyvLhRLJbht16yT5nRN6c6q0hFKX7zfn5dcoyIlsgzhXT/POaltGf8TMvLf9dSdkCUc+zOZTXKdoIjHjMNy8lL6i4OwHRXKopz+ApQhsoBF5uwyk5UwH0RrQoFMoJAF2WSaEsOdkd+OP6tZJDFeV5H62ZImbWrudTZ0NxlWd95DKyxc1c+hYGwmhu7yJrtixTdl6zj1JRijNEpyEmGj/nvgO6GSxfaCiExYGKu+UGIZlGnUUqlcLk5KS8v0q9PFOJepmBIAjyXgFpX9tc1o0nEgnMzMwAmNteAQlprwDHcXPaKwAAPM8jHA6D5/k57QeUUO5zmOveMEKIvB9Q2ucwlzhuqVQKMzMz4Hle3Cswx6Wr0WgU0WhUDm+Q715GQPzMpf2AVqs1772MEslkUt7nMJe9jBKRSAShUGhOeVYShRgtOmZDOdkJh8OGYV30iMWUe8PyazOlr5OyvZ9Pm5lKpTGtajPntmw9EokgHlPs/7Zl7w2TBnCFnEZA2d7Px8ZL7b20l1G55D5H4Gk0QNL+b47jVPu/8xGHPM/L+7/tdntuyB49cZgpYy57GbOlICEEMzMR0V9BZh9mTgxhA9LpNKYz+wn17rHSIYQBIfObgZtvvpUIFXfLmGQyiZ6ePhCSRmVlpabbegZMpnFhAfAYHx9Hf18/hMyuVgICq9WKxsZG0/1agiDg2LFjmJycVJ3X83SZTTQaRXd3NxKJxGz9GAbV1dWil04TRkZGMDg4qAriarfb0dTUZCo20uk0enp6EA6HVef1PF1mMz09jZ6eHqRSKfkcy7Koq6vLa4/f4OAghoeHVeecTidWrVplKjBTqRS6urpkgyWh57Utm6mpKRw7dgw8P+td1WKxoL6+3nSPICEEfX19GBsbU533eDxoamoydTgTj8fR3d2NWCxmmG5FQ2fuKBRDgsEggsEgHA4HmpqaTPf3ptNpdHd3Y3p6WnW+tLQU9fX1pm1mOBxGT08P0um0fI7jONTX1+e1N7m/fwDBYFB1zuV2Y9WqJlOBmUwm0dXVJYpSxcxSoKICtbXGnpsBYGJiAn19fTntfWNjo7xPbxb1wC8hBMd6ezE+Pq5K5fV60dTUlOukK0vYRWMxdHd3Ix6Py+cYhkFVVVVuKCWNLSOjo6MYGBhQBZm32WxoamqC2+3OmnlTNJqEgOcF9BzrwdTUlCpVUVERGhoaTPsnkcgMuru6VMJMCn1RVq4ThkEhNIeGhjE8NGQaZJ5CWQxoKITjQLZ75vn8M4SIvUECHiBiAz48PIyBgYGceoBhwDAsGDCYnAyjry8IQmZj4DFgkEqlcOTIEUSjUcPbdnV1YWpyKud8OBzG4cOHDRu1RCKBzs5OlbATH4VgYCDXEGYTDAYxMDCQcw+9crPvceTIkRxhB4iGsKury/De0WgUR44cUQk7QF/sZjMwMJAj7ABxVLmjo0PVgchGEAR0dnbmCDtANIS9vb2G9w6Hw+jq6lIZekDs/HR1deV0frI5duxYjrADxJHZzs5OlRHOJp1Oo7Ozkwo7EyTvYfM9qLijrBTi8TgOdx5GOqXfZhJC0NnZqdm2jY+Po7u72/AeMzMzOHLkSE67zPM8uru7DVcgMAD6+vo17Vk0EkFn5+Gctjj7Hh0dHbItVs76BEdG0NfXD0nUqPoJGYExNTWFnp4ezfb+yJEjmFHZkawZQABd3d05wg4QBzeVNl6ryUmmUujs7FQJO0D8PJSDm3pN1tjYGPr6+nJsSjKZ1Cw3myNHj+QIO0B8J0ePHlVWKPODIP8fj0fR2dGhEnYAwAs8evt6c2ygqv6EYGhwCENZA8+m4a5WKDQUwuJAxV2BzFmYLchNZzdlKxkZGUFKx+gRAAODo5n8iuDm0vWMyNIjHA5jOqwvBKLRKCYmJnSvDw4OGgoBo+s8zxvWTRAEDA0N6V6fmJgwFK7hcFhT+En09/cbCte+vj7da8lkEiMjI7rX0+m0pvCTCAaDhsJ1fHzcUDz19/frXgOM6272mSYSCYyOjupeHx4eNhSuFAqFMld4nsfQ0JAqdpySsbExQyEwNTUlbyvQopA2MxaPG7aJyUQCIyP6A5miDU/pXh8dHVWvfAEDZTfOrO5G12dmIpriSCIWi2kO9AFi/2JwcNBQuA4NDansgdKi8oJgaOOl/ommFSYEk5PGn+nMzAympqZm82cJvIGBwRwbrxRmWgPLEuk0n2PDqajTR/IOPa+Dvta8oeIuD+Y9w1bQTRn9IyuNsh6hcEie2ROTiMHM4/EU0mkChpmdsVM+HwA5PpyqGpkjHBLFj1GjZSSQzPZbSXsEtJDW/hthVH4+e7306i4IgqHRAESBpicejd5JPmnyya/3fMlk0nS0Mx6P63YmCrm32TWKgkKMHTV4lBWIsm3JtsKFtPc8z5uuYDFqV8PhsDxjo2crw6GQ7pdWq+6qcghBWGeQNR5P5Mw8ZROJRMDz2oOoc31vRHFkX9NC2sOoOpc5xHrpC0Nl+UQsTLF0IdPvMUF6vhyBR4j4mch1yv3seJ7PWT0jpcjuN1FhZ4y0526+ByU/qLgzYNFm4uQbagg4GVbnUKPdQHIQBEYWdqp8WffSa2DNGl6zNEazdsf73vnk15thyqfeRvco5N755i/k3oXmL/S9UzC7526+B+1LUFYYhbY7y7nN1LMXC1F3s/7OUtoqQojuIO+8700IBGG2XCNhlk/dqbCjnChQcadgUZdXGs3IZQk4BpxYo8wsHMNYVQcYTt5X53A4spoXDgzDwGF3ggGbycMCjAWz3rbE5+U4LmfDtFRWPh4xjdLk45VSL3+h984nv94GfYvFkpc3z0LqbuQcoJBnz+edMwyju8F/Md47RaSgPQi0P0FZIUh2ObttUVrPQtotq9Wal0fMhbJV2V9drfzZe+ucTqdm/ySf9p5lWVit2n70ltJW5ZPXZrPpOsIp5L2zLAOr1WoqzLTuQRTnqbDLE4EBmedB49zlDxV3GRZthi6vmTm10IRCjDGMJUvcWeR19za7Xdfjpc1mh98vefni5Hso/wTKy8t1q11aWmrqYaysTMejlEnZAAzd6+fjet/o3kbXAFHglJSUzDu/z+fT9Rrp8/lMvaMVUneO43S9t7Esa+rJs6SkRLczU1RUZCpsjT5Xs8+cIlKoQxXapaCsNMrLy3VjpZm1mSzL6raZDMOYtpnFxcW67aLf78/1KDmH+pm1mVarFX5/tsdLEYuFM/V+XFZapmPHWUNbIOfPqrty36PZezcKXZRPWCOj8vPxWJ2dRtlumr13o7BJHo8bdkf+IZVWOgU7EKPkBRV3xxvd2TnAXNCJok4SdCxrB8vYYeFcsFuL4LSVwW4tBcd5wXF2rFrVDJaZlaniSBKf+VlAfUMt7DaHOMvHWIHMbB8gxg+qqqrSfAQCwGK1oL6hXvcx6+rqDEfPAoEA/H6/5jWLxYKmpibdvADQ2NioazT9fj8CgYBuXqfTidraWsOyjVz6V1dX68aks9lsaGho0M3LMAyampp0jWZZWZmha22v15vrQjrPsgGgtrZW93Mxey8cx6GpqUlX1FdWVhoa5OLi4ryMLoVCoZghWbbi4mKUlmXaFY22ye12a4YFkpBc+kvCJNsxS01Nje5got1uR11dnW7ZLMti1apVYBjt1T+iHdQWZ4BoyyShkb2CiJXbY/0Bt4b6Bl0R4nK5UFNTk3lnbE75FqsYLkGP6upq1XtRPh0DY1sm2RIjjOywz+dThUvK7uPb7XbU1+v3TxoatN+LtOcvUBHQHRiXQkXpQYC8QkFRROieu8WBxrk7nswhaKh66YVC8DEsxKWVLNjM7J2Fc8DKOuGxVoBnYxCso6gI+GC1capNwmCEzFpyAoYRYLGwWLeuFUNDQUxOTSKZFGCzcSgp8aG8XG9Eb5aSkhLY7XYMDw/LTkZcLheqKqvg8ZoHl21ubsbo6CjGxsbkIOZ+vx9VVVWm8dIcDgfWrVuHoaEhhEIh8DwPu92OsrKyvGaIAoEAnE4nhoeHEYlE5KC2VVVVprOCDMNg9erVCAaDGB8fRyKRgNVqRXFxMSorK00bdbfbjfXr12NwcBDhcBiCIMDpdKK8vNxwxlBCMqrBYFAOYu71elFVVWW6HIXjOKxduxbDw8OYnJxEMpmEzWZDSUkJKioqTEdqfT6f/N6np6flgLwVFRW6Yl1JQ0MDvF4vgsEgYrEYjQGkBUFhy03oK6Wc5DAMA5fThfLy8llhZ0BlZSVcLhdGRkbk9l5qM81i5LEsizVr1mBkZATj4+NyEPOSkhJUVlYatpkMAK/Hg1PWn4LBwUG5zXQ6nQgEAiguLjKte11dHbye2TaTZVn4/H5UVVXCbjeuu8Wibu9TqRTsdvtse29i44uK/Fi3dh2GhodkRyFutxsVFRXwKWLkaZXCQBQ5Xq9X9ljKcRx8Ph+qq6tNbbzNZpNtzdTUFNLpNBwOB0pLSw0HbyXKysrgcDhkGw+IttdsEBIQ/75aWlowOjqK8fFxxOPxzCyp2D8xm411Op1y3cPhsKHHUwplMWDICupthcPhTIeUQ3bztGDLMk0FndowyPdlWFUapahjMssxWdYClrHAxrlh4Zwo8pbBXzGmvm/2x5nZjyeWyWSSiB4cCEkDpPCV4sonXjF/TJQ5I8XGO3kQZ8ZDoZCq4zMXvvnNbyL6/C58/4NnzbsWd/3tAMJnfwg/+9nP5l0G5eTByM4tRxiIHW+fLzOzkm1jVZ4K8ynPmPnYsPm8ZaP7qMqTn5dVXM/YcrmUWbe5WuXK5THqrRhqMs7DDMrJqZsG8/kM5ttvmF2ldGJx+PBh0xiyy4fC7Rww2y4duejL8FqNt6roMZ1KouW3T+RVl3vuuQfPPPMM3nvvPTidTnzoQx/CD37wA6xZs0ZOc+6552Lfvn2qfP/6r/+KRx55RP69t7cX1157LV555RV4PB5cfvnluOeee1SCf+/evbjxxhtx6NAh1NXV4dZbb8UVV1wxr2dcKOiyzIVkvsJOdV1L2LFgWYv8s+T1Mk2Smss91Q2dAEIEgPAKb1Nq/+kLZf5PtAaWQlkOEBS4TIUuVaGsFOawGkYz+wJVY6lRu+s39ui8kM9caFnZS2ALLVcZioGyPFisPXf79u3D1q1b8cYbb2DPnj1IpVLYtGlTTkiLq6++GkNDQ/Jx7733ytd4nkd7ezuSySRef/11PP7449ixYwduu+02OU13dzfa29tx3nnn4eDBg9i2bRuuuuoq7N69u+B3VQh0WSYKnLXLy9gYiLqs8ARaM3bSkkyWsYBlreBYO1jGCjbjSTO7kVfViIijLrpjcQwDEAJG+2pe0MaVQikAkvF6Od/s9AtIoZiSr5UvxBaaMedZLVX/QoDYT8hqLDRi0+YWml2OXgULH/TVe38ni7CmFEYhe+fmku8Pf/iD6vcdO3YgEAjgrbfewkc/+lH5vMvl0vVr8MILL+Ddd9/Fiy++iIqKCpx22mm46667cMstt+COO+6AzWbDI488gqamJtx3330AgHXr1uG1117D/fffj82bN8/jKRcGOnN33MlH2GV+zQg7Md3sDJ00W8cwXEbQseI/xpITxFxRGIDZkS2xsVUGx6JQKBQKZZlyArnPy6cWC1NTxdLJhXr+RXBFSIUdZSEJh8OqI5FImOaRgthn+zl48sknUVZWhlNPPRXbt29HNBqVr+3fvx8bNmxQOfPZvHkzwuEwDh06JKe54IILVGVu3rwZ+/fvn/fzLQR05m4+zGO2Dsh/xm7299nlmCxjBcdYwLF2WFg7OFhhYexifkYAI7lEZxhMjE9hYjKERCIBiwUo8vtRHpA8cEnw8qydknQ6jZGREdnxh8PhQCCg70kqm0gkonL84fF4UFlZabqZGhD3Ao6NjakcfxQXF6OszNzZCwCkUikMDw/LG8FdLhcCgYCup8tswuEwRkdHEY/HxU3sGQ9dZpuppboHg0FMTU3Jm9hLS0vzcpgCAIlEAiMjI5iZmVFtYjfb/C8xNTUlb2K3WCzw+/15OUwBxKUHwWAQoVBI3sReVlZm6lZbIhaLqRwXeDweVFRU5BV3iZLpVxUy3nJi9G8plOOPwl4lkymMjIyo2/uKgKmDLIlQKJzj+KOiogIcZ95mCoIgt/dKxx8lOt4is7+i8XhcbjMByO29FKdW19plnn9iclJ2TGaxWFBUVIRAICC39+o9dmr4NC/beJ7n5fbeyIunkmhUbO+j0ajsqKaiogI2m1XzWbNrMDY2jomJCdlRTVFxEcrLy/O28dJnrnRUY+YwRWJmZkblqEbyRp2vjR8dHZUd1dhsNpSWllKP0HNEEBgI83QgJuXL9lh7++2344477jDIJ2Dbtm348Ic/jFNPPVU+/8UvfhENDQ2orq7G3//+d9xyyy3o6OjAM888AwAYHh5WCTsA8u/Dw8OGacLhMGKxWN59uIVmWYm7V199FT/84Q/x1ltvYWhoCM8++yw+85nPLHW1NChsQpRR7L1T7rOTD4jBzDlYwTAMCGEBiHvqurv7EQ7HQUgKgIBEgkckEsHExARaV7eC47jZxjZL2MXjcXR2diKdTsvnEokEQqEQKisrDd1LA0AwGER/f7/qXCwWw8TEBFpaWgxFliAIOHLkiOyFEwCSySRmZmYwOTmJlpYWQ6ESiURw+PBhCMJsLzmRSGBychJ1dXWmHjUHBwflL6uy7uPj41i9erWhV0qe59HZ2YlYLKaq+/T0NKamprBq1SrDe4fDYRw9elTlSTKRSGBiYgKNjY2mAvHYsWMYHx9X3TsajWJiYgKrV682FNapVAodHR1IJpOq/OFwGGVlZYbupQFgYmICPT09qnPxeBzj4+Nobm4uaAP2SqIQF89U251cLB87t3TMzERw+Ii6vY8n4piYnEBDQ4Nph7u/fwDBYFB1LhqNYnx8HGvWrIHVpt9mptNpdHZ2Ih6Py+ekNjMcCqOxUT80DiAOxHV3d6va+3g8jomJCTQ1NZkOqnV392BickJ1b2V7byRUEvEEOjs7ZW+OBATxRBxToSkEAgFVaBytFmlsbBy9vb2qc1J739LSAo9H38YTQnD0aBfC4bB870QygZmIaONbW1sNbXwsFkNnZyd4np99nkQCU1NTqK6u1l1aJzE8PIzBwcGcMiUbb9QJFwQBnZ2dqlkdZf+kubk5L3FKKWySWMrX19en6luYDSRv3boV77zzDl577TXV+WuuuUb+ecOGDaiqqsL555+Po0ePorm5eX6VPEFYVssyI5EI3ve+9+HBBx9c/JvrxqrLRnvGTuUV02SfnXROebCZ2TtxBs8KC+ywMLZMPgZgOASDU4jMCAqnK7Nx7GLxpNwo632vuru6VcJOyfDwsNwoaxGNRnOEnQTP8+jq6jJ0gz8wMKASdkpmZmZyGmUlgiCgq6tLZeiV9PX1qRrlbEKhUI6wk0in0+jq6tLNC4jelJTCTsnU1JRu2cry9d7NsWPHDJccjI+Pq4SdkkQikSO8sunu7lYJOyVjY2O6ZUvlHzt2TPOaONCg//dEUUAAIjDzPqhDlZOLJbVzJyDZ/pzTPI8jR4/otvfHjh1TCa9sJienMBIckZ2SKP8lU0l0dXUZLiPs6enRLX9iYgKjo2M556XyUqlUjrCTIISgp6dn1o2+hlfQYHBUJeyUxONx3fZYoru7WyXslASDQUxOTurmjcXiOcJOKocXeBztOoq0QnhlMzQ0rBJ2SiKRCPr6+nTzisLwqErYKRkcHNTtPwDA9PS0bh8in/6JUR8iHA5jaGhINy9FzULEufP5fKrDSNxdd911eO655/DKK68YxvUFgA9+8IMAgCNHjgAQQ6qMjIyo0ki/S4MJeml8Pt+SzdoBy0zcXXjhhfjud7+Lz372s4t747xHZEyWYmoWrZEney9elpdMDhZR4BFx5k50usJgfGwGgCQQM0s8mdlgpVOTU7qd7enpGUODCCBnpDP7mtGzplIpTE1NaV4jhGB8TF9EAMDo6Khu4ysthTTLr4fRcwGi0dRza5xOpw0Notm9x8fHdTspwOxSVT3M6j49Pa37ucZiMUODaFb+2NiYoUHkeR4TE9odEQqFos2S2bkTGEkMEACTk5O6nXwJrTZX2ns+EhzJuaYkEo0gEtHuyEszdEbIbabGYLBZmykIguGAmll7HwqFdAfrIpGo4SAnYGyrjK4B5rZQqrte8CUjW2j0XNnla2FW90Qiofu58jxv+JnkUz5l8SGE4LrrrsOzzz6Ll19+GU1NTaZ5Dh48CACoqqoCALS1teHtt99W/W3t2bMHPp8P69evl9O89NJLqnL27NmDtra2BXqS+bGsxN1ckb6wymNO5DVTJ5HHq8yKZae+lZYwZHOuc4wFLKywEjuscEIUc1YIggUs45qd6WMsYBirKPxYG8BYwLAOxGIxzfX4ejNPSozSxOMJ2bmL8p+SbMMiuUVOJpKmwa0JIbozWPnU3cioFfLs+eRNpVK6nZFC3/vxrvvxujdllkJdQ9NlmSubgu3cMkH6O1+sdkvLbX8+eROJhPo7mbGzTJ75o9FoVmw70fYLAjEVOFIdtdqEmMIG6gksXTvJMAW992QyZTiIKWE0EDnfe88lv/SZKz93s0FvQBSA0mcj5qerKfRYiJm7fNi6dSueeOIJ7Ny5E16vF8PDwxgeHpb/Fo4ePYq77roLb731Fnp6evD//t//w2WXXYaPfvSj2LhxIwBg06ZNWL9+PS699FL87//+L3bv3o1bb70VW7dulWcLt2zZgq6uLtx8881477338NBDD+Gpp57CDTfcsPAvbw6c1OLunnvugd/vl4/sTZiGzGn9tPZrzH/WjsuvSpn7sAwHBiwsxCKXw7FWhYdN5X49K8RZPGsmXh4r3VxdNisZIO06M2DAsfr11CtXM02e5xcyv1GaQvLnW3e99fgnet2P170pSgqNc7fU9acsJQXZuWXIYrdbjM75bGa3XjCZ9n5WmEl2MZ97z9rZrAFgExutrKNWCpYz72do1k+q+3zzG5xfyPxLbeOz3zsVeNoIhCnoyJeHH34YoVAI5557LqqqquTjV7/6FQDAZrPhxRdfxKZNm7B27Vr827/9Gy655BL87ne/k8vgOA7PPfccOI5DW1sbvvzlL+Oyyy7DnXfeKadpamrCrl27sGfPHrzvfe/Dfffdh0cffXRJwyAAJ7m42759O0KhkHwYrelWcTyEncGs3Wye/D8ODlZYYQEh4oyQhbPC5XKCY22wcA5wrANc5n8L5wLHOsAwadGpCcNBNjyZZ/V5feJ5hskIw6wZOIaB1+dTjWzJB8PA6/WLjl7AyeUoZ/IA5DjXkPqkNpsVNpvNsDG02Wyw2Wya1/Lx5Gnk2CMfpx9693C5XOBMjJ7b7dY1EPnc2yiN2bNL3iu18Hg8ppvAC7l3vmlWOqTAPXdzdcZyzz334KyzzoLX60UgEMBnPvMZdHR0qNKce+65mSXfs8eWLVtUaXp7e9He3i57pb3ppptyln3v3bsXZ5xxBux2O1paWrBjx455vSOKPvO2c8uUQtsd0zYTjG4at9ut2WYqhZ2YV2lDM/aW0S9Xidjmqm2wOGBrnp9lWV3HZV6vuUfJnPZe8aw+n0+zb6Ssp569sFg42SmZnp23Wq26jsuOp52U6+71qXwrSP0bp9Np6k3T6XTCqpFGawXTSqcgWzcHL5uEEM3jiiuuACB63Ny3bx/Gx8cRj8dx+PBh3HvvvTl/Rw0NDXj++ecRjUYxOjqK//zP/8z5ezj33HNx4MABJBIJHD16VL7HUnJSizu73Z6z8dKU4z5jN79XTogAkhWfjsl4yRR/YVFTUwUmE/+OZS3gWJsc/JxjbaiprhaXa6oaHNHo2O02lJWWQSX6FAfHWVFZWZX7fjIjlJUVFbBYbfIev2zx6Pf7Db1l1tTUGD6/0UZYj8cDv9+ve91qtSIQCOher6ysNBydKysr092wyzCMqRdRo2crKioyfC9SSAU9qqurDQWa6NpbW3xaLJYcF75KGIaR155rYfReALEjlG84hZVOIcsy58q+ffuwdetWvPHGG9izZw9SqRQ2bdoku2WXuPrqqzE0NCQf9957r3yN53m0t7cjmUzi9ddfx+OPP44dO3bgtttuk9N0d3ejvb0d5513Hg4ePIht27bhqquuwu7du+f9nii5zMvOLWN8Pp9hZ91ms8nekbVaRqM2kwGDQCAAq9Wi2RdgWdawTQSAmppaeUBUOcgJsCgpKTF0suB0OlFcXKSbv9rETlZVVenaMjM7aPZs5eVl4gCrzrvzer05n4sypdIOavWRjOyo+F60w0wA4gyLkS3Ts4NSPYqLi+F06nvENuufqK5rbOehAo+y2JzU4m5OzHl/3Rxm7DT20+WDJOYIBFHcEQE8SUMgvHiOEUCENAjhQUgabo8TrS2r4bKXwMo64bAUwcKJhiRQ4UOgogoMa8nMrHGqUUEwHOob6lFeXgWWtYNhZg+73Y3W1pbZmbMsz6EMGHAWSyZkgFvc38dYwTAcQAj8RX7dzazSJvfi4iLU19eDzQnszqC+vt5UJDQ1NWkKPIfDgdbWVsPZNZvNhtbWVs2QAaWlpabLnMrLyzUNE8uyaGpqMo3B09zcrJnG5XKhtbXVULw5nU40NzdrjiwGAgFT4VldXa1p8C0WC1paWgw7IgzDoLW1VTOulNfrXfauhE9W/vCHP+CKK67AKaecgve9733YsWMHent78dZbb6nSuVwuVFZWyodSNLzwwgt499138cQTT+C0007DhRdeiLvuugsPPvigvPfkkUceQVNTE+677z6sW7cO1113HT73uc/h/vvvX9TnpZx8rFq1SlPEOp1O2aW+1Gpmt552ux2tra05bSYDBuXl5aitrZntCyhmcSSk74MyHwBwFgtamlvhdntE+5o5pEFOBgxYhtENC+Rxe8T2npWEJTtbBiM6SPO4vWhuaYGFy23vKysrUVFRMVtX1dJQ8aiprRFjymW9FavVipaWFvVgXda+P5a1oLU1ExYoyyb5fD40rTJ2WOH3+9DQ0KCIxZf5xzCora01DV/R0NCgKfBsNptpCAir1YrVq1erVv8ohV1jU2Pu+1J89qWlpaitrc2xxSzLorGxEX6fYtYvaymu8n5U5BW+x5ySH8sqzt3MzIzsohQQR4YPHjyIkpIS03hceizul81Y5BEIOUszCRHkvXkEvCjkIIBHCmkIGQfOaRDCQSA8/H4PPB4XpsMxJJNxpGGHx+uAxcJklnDmOvZQLimpr69FIFCKUGgKPJ+C0+GA3+8TDY66YjmNl8PhwPr1axEKhRCLRQAQeDzOvILKEgClZaXwF/ll75c2mw1+vz+vAKMsy6K5uRnRaFQOaut0Og1n9JS43W6ceuqpmbrH5KC2RvHtlFRWVqK0tFQOamu32+H3+02XbAKikFq9ejVmZmYQiUQgBTHPd0mjz+eT6y4FMTdzD6yktrYW5eXlCIfDckBev9+f114Dm82GtWvXYnp6Wg5i7na78w4qS5ndYD7//OJMWrYjDbvdntffQCgUAoCceIpPPvkknnjiCVRWVuLTn/40/uM//kP+Lu/fvx8bNmxQjZZv3rwZ1157LQ4dOoTTTz8d+/fvxwUXXKAqc/Pmzdi2bdt8HnPFcDzs3MkGx3FoaWlBJBLBzMwMpCDmkuAz+zZ5PB5Vm8lxHIr8RbDbbeoOOgBkBlkZzG4lqK6uRllZGUKhEPg0D7vDgaIiPzjOBmkJpbSXnmF4EMICjACAgc1qxZo1a+Q2U6qP1+NRCSqlkFDGs/X7i7BhwwZMTU0hnhDbe7/fr7ttQQnDMKirF+O+hsIhOYh5UVGR6RJ9QGxT1q8/BeFwSA5i7nG74Xa7jIOXZ8ouLS2B3++XvV9arVb4/D7DWKwS0mBpZWUlwuEwBEGQP/N86u50OnHKKaeIwaWjYhBzn88Hp0sawGRV/UECFsrPPhAIoLi4GKFQSO6fFBUVwcJxWUJY8T/DUEWShYC57Z3LzkvJj2Ul7v7617/ivPPOk3+/8cYbAQCXX375CbGXYyGFIiGZRoVhQYgAAQIYIs7W8UghzaTAM2kAAghJg8ACQhgIhBcNVbEbvGADL9jFmT7Cg6iEnZ7nKgEOhx12e+lso6QRb0f+n2FAQMAQZIwXC7/fA5/Planb3Bo2i8WCsrKyOeVR4nK58hKTWjAMg6KionkvJbRarabB0o3weDzzFkUsyxouWzHDbrcXVHetJTmU/CAEEOawlyA3P4MDBw7kDGTcfvvtuOOOOwzzCoKAbdu24cMf/jBOPfVU+fwXv/hFNDQ0oLq6Gn//+99xyy23oKOjA8888wwAMe5l9jIo6XcprqNemnA4jFgstqQxgE5kTnQ7dyLhdrsNl7Ubkd1mMoDO6p2MMMuyZdLyz9l8kjOzWWEnwmUEXqYs8GCg0WZKs3WqfoRUDi+nYQjAcixKSorn7UvJ4bDD4Qjo5jdrjXw+L3y+TN3NbLzynTIMLBYOpaWzA0lzfQan02m8osSgXIZhZMdD6s/bYCBTIdCsVqtB/yRP52pgdL2VrgQKGcwsZBB0pbGsxN255547Z7GwsOThKUt10iC9wTX1bJ0AEEAQUqKNISzSJAEOViQQAQgBEdLgmRgIrJmyZz/WWWGXBiGiGAQhmcZFKfBYUaCJBYABB8Jkv2tpmaiqsmAYQTxHWDCqqyyYjFFauU0ZhWJOoc3a6aefjldeeUV1Lp9Zu61bt+Kdd97Ba6+9pjp/zTXXyD9v2LABVVVVOP/883H06FG63PY4s/R2buWhFmiz9jy7E66cvZs9OSvKcoWdEtE+Eo3ZHEa+nlkKqFGOPHvHCEDmf4boyATdmazMbNScZpQEmK86mgOKey/kX3n2Eyt/n/99jN+X3t+NGStd4FGOP8tK3C0tcxR2eaO/bE+avQOj3ndHwINHCgIjgIW4XJMhgCAADCwA+FlxqBR2hFeLOmVjxQggylFDRrE+XBaD0DYI8gyfkFnKoCDTKGoaRQqFAqDwZZnSMuK5cN111+G5557Dq6++auiwCAA++MEPAgCOHDmC5uZmVFZW4i9/+YsqzciIGBxa2o9UWVkpn1Om8fl8dNaOsmgUYndUnfC8BREPtV3P3gqhFmb633x1vkUX/BpbLzTTaLBQ8ytGs3BzLSe7DAKAkZ9RFLBGgsusD0P30+UHmWNIg+y8lPyg4i4vFmLGLjcguTHq0TJZ1JE0eJKGlQEcSQ/GZ6JwuRzgWAKQNHjCZzZfK9aOEyIKO5IWHZgQgkgkIu8Nczqdihk4aQRy1jiJyy552flJOp1GNBqV9znI6+UJEWfqcvYsqInH4/LeMD3X0noo6+5wOPLeEyeRSqXkvQIulyuv/XxKYrEYEokErFYrXC7XnOouCAIikQh4nofT6cx7T5xEMpkUA61m9rXls59PSSQSkfcKzHXpKs/z8n5Ap9OZ1/4OJYlEAjMzM3PKQzk+EEJw/fXX49lnn8XevXt1nR0pOXjwIADI3vTa2tpw9913IxgMyg559uzZA5/Ph/Xr18tpnn/+eVU5e/bsQVtb2wI+DWUlEIlEYLPZ8m7vpU64sr3XazNnW/DcWbtoNJrZG2aB253bZs46bRFn3AghGZvAg+d5zMxMK9rM3H1lSucnsodMsCCEIJlMIBaLZcIbuPLaA61cahiJRBXtvRP5LhsEAJ4X5Pbe5XLBqlF3o9m3eDwh72X0eNxglHU3EamEEEQjUUX/xDEnkZdO84hkgrG73RkbbzTArBJ4ko1PZvon+dt4AiLb+FQqZZp+pc7e0WWZiwMVdwuNibCbK9LsnewdkwgQiNhw2OJ2xJI16Jp+HZWVpZlOFp9pPJUbe2eXX05NTaG/rx+ptABpiabdYUdjYyPcLldmeIpkrIRyQzhABAF9/f0YH5vK1Em8V0lpCerq6sCyrGIkUiFOMyOeiUQC3d3diGYaXkCccairq8tx5qDF+Pg4+vv7wfOzI5putxuNjY2mQkkQBPT29mJiYkJ1PhAIoKamxrQBj0aj6OnpQTwel89ZrVbU19fn5bQlGAxicHAQgjD7WXi9XjQ2NppuJk+n0+jt7cXU1JR8jmEYVFZWmrrlBoDp6WkcO3ZM9mIIiPtFGhsb89rjNzQ0hOHhYdXIcVFRERoaGkwFZiqVQk9PD6anp03vs1IRvYAVYrTmlnfr1q3YuXMnfvvb38Lr9cp75Px+P5xOJ44ePYqdO3fik5/8JEpLS/H3v/8dN9xwAz760Y9i48aNAIBNmzZh/fr1uPTSS3HvvfdieHgYt956K7Zu3Sp/F7ds2YKf/vSnuPnmm3HllVfi5ZdfxlNPPYVdu3YV8KyUlYgUjsPj8aCxsdF0cInnefT29mJyclI+xzCM3N7noPD8DAAzkRn09BxDIpGAZD9tNhvq6+vh83qyuuTZTtAIhodHMDQ0CCLM2iq/34+GhnpwFinO7Ow+OiXpdBo9PT2ig6SM/ZfCFFRUVpjOloXDYnuvFBh2e8bGawjUbAYHBhEMBlXtfXFJCerr60zb+2QyiWM9x1QDeRzHoaamBmXl5nvpJycn0d/Xr4qX6XK50NjYCIdD38aL3RaCvr5+jI2NZU6Kb6SsrAx1dbWaraTcXyEEsXgcPT3HEIvF5OsWiwV1dXUoLi4yrfvY2DgGBgYy/RM9nwaUTM9z3nkp+UFDIRRAftPw6hk79azd3GZeJGGX5mOYSQ/jHeFVTCcHYeVKMRpMY3R0UjFLN7sBnGE4MKwFkQjQ3zcDgbjEcAcQvTwl4gl0dnYiFo9j9usz68qZYUQPYr1945gOW8GwUjw7Mf/E+ASOHj2qrGjW87NIpdPo7DyMWDSmem88z6Onpwfj4+OGzz4+Po5jx46phB0gjuh2dHSYjpQdPXo0R9gBoujq6ekxzBuPx9HZ2akSdoAoXI4ePSp7G9RjeHgY/f39KmEHiKKro6Mj55mUEEJw+PBhlbCTzg8NDaG/v9/w3pFIBIcPH1YJO0A0wocPH86JbZZNX18fhoaGcpYETU1NobOz03CpEM/z6OjooMLOBAJAyCxVmc8x19VaDz/8MEKhEM4991xUVVXJx69+9SsAYif2xRdfxKZNm7B27Vr827/9Gy655BL87ne/k8vgOA7PPfccOI5DW1sbvvzlL+Oyyy7DnXfeKadpamrCrl27sGfPHrzvfe/Dfffdh0cffRSbN29eiNdGWYHMzMygo6ND1fnPhhCCI0eOqISddH5kZAS9vb3yOeVMl2SXotEoOjsPI5GIQdmdTCaTOHLkCKZnImCy8ioZHBzA4EAfiMBnvFmL/0KhEDo7D4MIimWeSoceDANBENDR0YFwaAoggpyXF3j0D/RjcGAw535yXQBMz0Rw5MgR0R4q/McnEhkbrxAuWvQe68XIyAiIcisGgMmJCRw5POvBVWvWLp1Oo7OjE9Mz06rnloT2aHBU1TfIbrYmJyfR092T89lGo1F0dHQgmUwZ9ri6urpnhZ2ijmNjY+jq6kZ2SAsliUQSnR2diEWjs+8t80zd3d2YnJwyuDMQDI6it7cXPJ8ClSCUEwE6c2fKHAKVzzOeXT5IjlUYhhVj3QkCWLAQIIBlLYAAjI0mUVychtVqzSzx4MAwlsysFIvRkRAsnAO8wEIQWPCMAIYAhOFBBIKBgQG0NDeDMAQsw2TCMoiLGaIRHlF5MI6DuMkYmUaQx8z0DCYnJ3M8NkrvaWgwiHRav9Hr7+9HcXGx5tITQRDQ19enmzedTmNwcBANDQ2a1ycnJw0FxuTkJMrLy3VnsbSEmZK+vj7d2btUKoXBwVyDLJFMJjEyMqIbj250dNTQIAeDQZSVlekuVzJ6b+JIZx/Wrl2reT0ej2N0dFQ3fywWw9jYmK6XzZGRkRxRSdGAMCAFesucW3pjNVhXV4d9+/aZltPQ0JCz7DKbc889FwcOHJhT/SgUI1KpFIaHh3X3iU5MTBgOWo2NjaGsrExcqSIza3f6+wcMvyN9fX1Yv36d/PvsckogmUxgeHhEMx8BQTweRzA4iopKZWzR2b3uweBoZrYw15kLAAwND6GsrHR2maRyHyDDqISr+uZiaX19/Vi9ulUzSSwakwdZpXsTELlukUgE42PjKk+XqroNDRkOsg4MDKCkpAQcl2vjCSHo79MfqOR5HgMDA2hqatS8HgqFtQdZM0suQ6EQwuFp+LzaNn5wcDB3kFWx57Cvrw9FfjHkQvanItVNU9RRx0g50GWZiwOduZsH+Qk7daDz3H12nOoag8whz+6xs9eY2WsSUngEFizsFi9ctjJ4bFUIh8KioGPt4FgnLJwTHOtAPJ6Gn2lCiWMVvI5quO0VsHBesJwbDGMHGA6hUAgCER2uiMaNActy4Fgb4jELONYOlrGAY22ZQOcWOcAqGAbhsIaAyoxOToXCudcUiPsTtPdkzczMGIorAIazZ9mzXnNJQwjJiR+WjbQXTguzvEb3Nrsmoffs0n4TI6LRqK5BLuS95Zufohpgn9dBoaw0Cm13wpI9UoYfYBjwgpCxQwp7k/VFi8eTSCRSmXycXAbAqtpiLXEmzeCJfQgWSmEHsJiamtbIq17INpXd3mdsbCKRyNRLB0IwMzOju1JE1wYq6qJMk/10oamQ7jMD4iCtNMianUraR29EKBzWnX3Lz1bNI79iBi8S1bPx0xBjCGvnpagRSCErVZa69ssHOnO3EGgKO8VlE2GXy6yQy/5fmY9jLGAYFhbWBQtjh41xgufHwDA2cKwDHGcDCwsEpCGkgQCpRZiZgoWzI86EkRYSSPHRzL4+MV4ez/Oq2TMGLBiWA0vs4BgLCMOLoo4IACM5UhEdsRjNzBktPZTQa9zNGn2zNIXkz6feRvmXsu755JXSae37W4y6UygUylwppN1hwIhpsoSdmFdj9kbnHg67Y7YMOb+WDZTOsar6KT1T51d3cR+7dhpj+6uE53l575xS6Mylvc9+K8wc82c7N+Gz33s2mSWrgiCA1VgKO1dbpby/IJC8PJEWamcpInTmbnGg4g4wd/drmHcuwi47bk32zF7ubJ30O5uZJZNEHctYwTIWWFg7ipgaeEkxiokXwWICn7McFsYBjhE3nfMkCcbrxPv95RiLlWIimcQkIhhwHEaMn0QsNYFkegY8MyF7lprd7M2CY2xw2J3gWDsYhoVA0uL/QhpgLGJKIsw6NVF4y5QcwlitHJJJKeaddkOq5xTFbrfrxh0yyytdM9v3pZffYrGAZVnTmUOjupthlMbhcOTs9cs3f74eLfXy5+OZzuy9U8OXH/N1DQ3QAWLKykO0CbmQzDW9ZZmSHbE7HJgdRJ21wzabNRNPTv/eDBg4HE7ZK7Uyrmxueyhk/czm2EmlMy+73Y5kMq6TX0ojtetq754OuyPjgdGg7gyj68DLqC2Xlmea2apYLGboAVKZXxJYjMm9JSwWm7gFBWIYiex7G+99l957Jk4gIIeiYFkGFovF1FZpOXQhyM9OUiiLDV2WeRzJW9hBW9gxDAuWtWTO5Qo7jrHCwjjgJcUohRdNfhcaSzeiiK2Bn6mAD+XwoRx+pgKVzhacXmXBKh+Heo8DNRY/SlELDxeAy1YOu9WP8rKKHIPJZFw0V5RWwsa5wTJWcKwdHGsDx9rAMBawjB0MY0VpSZHOhmUBZWVlhg5oHA4H3G635jW32y03oAwYzXJKS0t1yza6thD5PR6PrpDy+/2m4RbKyvS9iJndm2XZnH2OEhzHoaioyDC/3j5HQPSIaeZ+u5C6U0Skkcx5HzS+EmWFUV6mvc8X0G93JLvBMAyKi4tkYScJNPF/btZzs47C8xcVw2KxZfJYwEA8ALEt5jhj78elpSVZwo6Tj3ITj5LKNl22hZllmRar1TTWZUlJyayYZBjVUVJaAjOv0VrtvZTDrL232WzwZO15k/I6nQ7T2Jez92aznNEAJTr7AFX5S0sVy2GhWqJpVneXy6Xog6jxuF3a9t/kXa7EMAiAtCxz/gclP6i4MyVfz0eSoVDumwNmG27kXMveZ8eyFrCMRd7XJoooO6ysE1bOARvnhpXzwM75YGXFzeAW2NFkLcXaIidOX1uMM+xNWGOpQxNbiVq2DA1sGdbaqvEBVz0aGt34eFUMn6+PYnMNiw95anE6uxFr8AEUectQVV0pP40Y/Dwle/yy2DjU19bByjpht3jlw2bxgkBARYUfLrdL3H+n+rMSvXYGAqVwubVH51iWRWNjo+ock3U0NjaC5Ti5wVSKPI/Hg4qKCt1Pxu12y4GVtairqzOc5aqurtY1PBaLRdeRCyB2JJqamnSNZlFRkaFh8fv9hgLKLByB0bPZbDbU1dXp5jV7trKyMsPORFlZWV5hIlY6i+0tk0JZzvh9flEEZYkTqbPu9Xrl2Is5MAzqGxphszrAMDawrBUMY8sMnopiraa2TncmyWq1o6GhESxrzQyy2kW7zYqDrhxnFZ1+MKz2IGRJKYpLSgCwqnuzjDUjLMtQUqI/ENrYWA+WVSwlZZRerTnUNzTCalXODM7icDhQW6sMA8GqDqvVjvpMe691/4qKCng82gOwABAIlGvaAzFuLoOmVatEO5glzKTfm5qatG0Zw8Dl8qCqslIx+J3pZ2T2+zudTtToONgBWNTW1MLhdIp/I6r8Yj2qqqp0Y79yHIfGxgZVenX1GDQ2Nmrb+EJWhZ2kFDqYSckPuiyzEGQBp6eRZ0WdKluOoxVp2aVy1k6cqWOlGTxGNCYWxg4H4wOBgBDfBzvnxZoqF+rrvLDYrfCmAC7NIcET8AIBxzJwWxj4bYDHyaDxLCtsiVG4D6UBeGC32TFoHULAnXmOTLByhojr0AXCQyBpEJJGSakXNnsLBoYGMBOJgDA8nDYegSoLiou8OU+vHJliGQatra0YGR7B6NgoUqkUGIaB3+9HTU0NHCbLMlxuF9atW4uBgUGEQiEQQYDVakVpWSkqKytNRxwlgTY8PCw7P3G73aiqqjId7eQ4DmvWrMHg4CAmJiaQTqfBsiyKiopQU1NjGqfO6/Vi7dq1GBgYwPS0GNTWZrMhEAjod0IU1NfXw+VyYWRkRPak5vF4UF1dbRqnzmq1Yu3atRgcHMTk5KS836K4uBjV1dWms4rFxcWwWq0YHByUHd44HA4EAgFD0SnR3NyMkZERjI6OUs+ZFApl3thsNpSVlaGyoiKr0yzZ09mB2NraWjidToyMjCAej4MBA4/Xi6qqavi8PnlJJTC7/YEAYBgh02auw+BAPyYmJsR96ByH4uJS1NbUwGZziLN1DAeW4eR+AAMBhFjg9xeL9mKgH+HpKQDissNAIIBAeQVmZ+yke0sDlmKc2KamVXC7bBgJBjPhGEQbUlNTA5crI64UM3/SslBCCOx2O9atXYuBwUFMTo5DyLT3paWlqKqqUogn5cqh2S0PpaVlsNlsGBwYwExktr2vrKzUjEWbbXWbm1dheGQEY2NjSCaToo33ZWy8M2v5Yrb4dDqwbt06DAwMYCo0BSIQWCwWlJWXo6qyWhzclWfdRE/fYr3FWL4VFQHY7XYMDw3JjsRcLheqqmtQVFSsemYpP8nUg+UYrF69GsPDwxgbG0MqnQLHcmL/pFb8zFX1zhpR83jccv8kHA7ntYdvpSKAgTDP1SbzzbcSYcgK+isMh8OZmQQOsw0qk8foSm5DmC3s1DN1UJ1jssSfWuyJ4s3KuVSCjmUtYMDJYs8qO01xoZFvxgfLPPhl7A2U1ibxQec/ocbtgNcCJAQgliaIpQmSggALw8BtZVFkY7Den4LfmgJPWEwkLNjZN40h9ghmkiNI81EIQgyEpEFIZqEXw2VGKJ1wWP2ZZZgcCAhS6Sh4IQECHmk+BoDPNGiz8fVEcaf8fRZCiEqQmX5lsz4jIgjzHhWT/uTNBKEegiCYLlc0u/98711IXmBp6z49PY3Dhw/P+94nHuLe1FAoZDpAoMc3v/lNjD79Ir615px51+LHR96A8Ikz8LOf/WzeZVBOHrTs3HKnublZXgUg2qbZ5XXKWSYCPsfeECKG9kHGvjKMuJpGmi0Ti2MgCDxEq5WGICRkR2Nimzm7PYJlnGDZ2TBDLCxiqCIAvJCAIGRWvZA0iJCGQAR5e4Nynx4Da6ZMRf0JASE8BBIX/xd4MJKKUTwvw1ogxqJlMktCpecXxFU3JA0QHryQymrvs/oyWm15JsYdEdIZwWsS0Te7jMxeNslWMKo0Wat6NAfGxXcpCADHcpnZttkVUCKK/oaizlJ+8RoLlmGhDgkl2f9MfsLP9lMy5Yj3JmC5bG+mmSQQ8+m/BxadnYfVXlc1utnLZ1lm4XYOmG2X9n3ka/BYzPdYajGTTuBjrz1UcF1WAnTmbgHQ8mQp/5wj/iTUs3csa1XN0iln8Fiw4BgrOFhhJXZwDIveGR4fsJ2NQes7YBkWvECQEBjE0gSRlICZdBoJwoMFgySxQiAcRhMWxHmxAQqlOPhYJ2aYcvDWJBIMh0QqCUIEMMjM3kEQjRObREqIg4CAlQ0kA4ZlQQQe4gZ0DsDshmS54dIZO5iTsJPKUeaRGup88hrcez4UIo4Kvf9KrvvJiqJrMe/8FMrJTP5tR8ZhRmaAUhIngCQCWUiiSB7gla4zbEbQSQIQAGHEZZDy/jyLwjYzs/YdLAiEzHUCEAvAiDFkWeUeL3mPHQulsJMHgBkhs/SMA0DAsrNOyeRnYJT1np35E69z4vPDknEWomN/VVY3yyZIs2Ism+O4JC8YBoxyEFAhxNVoDJoDkEQcx2XPTs7O0BLCgWF4ECLO2inLIGBnPWpmxfoVq6PMr6zL7IAxK91bQwCLsYFzZ++kchgwoqjMLnflzKMYUkgIH/oK84eKu/mg+OKKjb5iT12OmNOPdSf9zrE22VmJJPA4WBXpOHAQHahwxAoODKwsg1NLLbBZzoTbwoEnQChJMByPYZKdwAwzjrgQgkDSsKXdcJFSTI81oshugYMDWAbwWq2oSFXCzjoxZQtigo+DkJlMwHRxWSZBGozAI5XmwTMOUWyyYt0ISYujlISII4VSPsUIGqDf+dQy14Zp6TebchIiGrv5C1/6taCseJQCjjAgjDhkwigHBTPiiskSG+qVHGxGEYozY2DEmcDZ2TaLaikmyRqWYRgGLMOJZwnAMOmsGZrM/jjZm7RYNoEg78FnWYAIXOZ6Wqy+IlC5JFDV950ViuKiFgLCMBCdPAvajUTOYKlUpjibxWRcWWavwNEma4bLoDlTvg91OAip7ySJVwuyl67O5ubltISwmcuSyOPk5xEFuHLbhDq/KESlK1qzmrkzq+LgwazXzeyBZ12yBJ7o2XTlNd7SXvH55qXkBxV3c0B7tEst7LJFnW6cOkVDIjlN4WCVG35ptE9QGA+B8BAyDS/LAHYOKGLcsLMsCAESvIBJdgJTwgBi6Skk0zMQSBIxxoqYZQq9Ng9i0SJ4rVY4OBYcw8DBcnDyLsQ5T2ZWTmwspdk7ILNUREiDZ2KisJPbNAHSlL04mibVVblUIn+M0koukymUk4/5GzsAGSflFMpKQ2tZH6vYT6XogMuOQ6T4bupQPbNpMraaWAAmnZnh0Zgly8R2BTJLQaGYXWTYzP47SWDMLuFTCwV1/DswgmomUKy7JF5m05rNYqpnIBX5TUaBZpctis+cWaCo2ptmNFsFKY0eed5fvdyUUfWd1J9Xbj1my5ktQ51fZzklyWpF5aWgYn1mT/OZ/hGR9/rlJeyy7nU8yNcKLLWgJAXsuaOeofOHijsZ/eVq2fvsZuPacLIjFJWnTIWR0Nt3p8TOeeFjq2AldsXmbgE8UkgzKfAkhRRi4JEGgYAwiaMoZUOCB2pcoifEmbSAcDqFcXIM1kgJqsYbEE0m8TazFxbHOPz+KXSnZzDqqERpugFlqTJU2O3wWy2wMk6w6XIMMywEgSAWdiMWFTAdGwZnjaOkxAOn0wGGpMGTNAQmpTZSQhoks4Y9Ho9jbHQM0WgUDMvA6/WivLw8xwuW3ld0amoKkxOTSKaSsFqtKCkpkV0/K5skrfw8z2N0dBTT09MQBAEulwvl5eV5x6GJRqMYGxtDLBYDx3Hw+XwoKyvLeynj+Pg4pqamkE6nYbPZUFpamve68HQ6jWAwKDstcbvdKC8vzztW3czMDMbGxpBIJGR32aWlpXktZyKEYGxsDKFQCDzPw263o6yszNRZi0QymUQwGJQ3sXs8HgQCAVNnLRQKZWWh1wGdc4eTEKR5HqOjY5iejgAEcHu8CAQqxDhw8myXYklj1qxdJDKN0bExxOMJcByL4qISlJWVZ9p7DiCMOAMGSXSJQkPc1waMj41iaiqEdDoJu92J0rIS+H3FmedkwTBEXCYJRuFgQ+wfpNIpBEeCiESiIBDgcXsQqKiE3SbtRVIuIZWWH84Kl+npGYyPTyCRSMJmtaO4uAglJaKtYhludtaOsYhvl6Tl2S1CCEZHxxAOhcALBA6HE+Xl5fB4fGL9VB/R7CwegThrlUgkMBocRSQSAcuy8Hj9CJSXw2K1Qk98ijNeAIi4d2tiYhLJZBI2qw3FJSUoLi7B7HJZ0Zsly3Kq/hAhBLyQxuhoEKHQJHg+DafTgfLyMoWnS3UZ4jYXTi4jGo1iJDiCWCwChgF8PjfKy7VsPJu1FFR8d+PjU5icnEQqGYPVZkVJSTH8/lxncuInOLtMVMqvlWa+Ymu+Q3oL9h2knNDQ3heA7CUF2ssGpJE/AApHJ0yOl8tcj5ezd9EWCVbWBa9QDAs4cET8SBJMAikmCYawIIwAXkiBgAePFGbYaUTSbsR5BsUWIJ0ZlEuRNGqH1uD/b+/Pwy2p6nt//LVW1R7OfHo+3dI0zSCCyhBUbOMAkcvgEAfijUMUtQMJF8yjaBxy/YIaE35XvQ4xRMyTiCbR63Cv0Vz1GgkiOOCEoIhCoGnohp6HM589VK31+2NV1a69z97n7OHM5/Pi2Q+n965Vtar2rlrrvT7TmV6Zh0qGYsESmjzHjh/lyJGjnHKyZkpnGMt100UPWuXIeM6NJLB5suU18Pg2tgeD/CD4HoVSQHF0nMOHD7JlywY2btyIsiEQ19aKH7zueh0/dpxHH3usyjVzbGyMw4cPc9ppp00XWfEgELmAPvLI7qQQadx+eHiYwcHBhuUE4riKQqHAf/7nf1YVIp2YmODw4cOcdNJJdTN9pTl06BCPP/541Xujo6NJ32cSWcYYHn744USYxcc+fvw469ev58QTT5zx2BMTEzz88MOEYWVVcXx8nEOHDnHKKafMKhD37dvHgQMHGvZ9JpEVBAEPPfRQkkE07s+xY8cYGhpiy5YtMx57ZGSERx55pCo72Pj4OIcPH+bUU09tWLtQqNCpW6aMycJyZ6aJar1J5+RUgYcffpggCCIBBROTUxw5MsrJJ29nYKCvShQ5olg3NAcPHuKJJ/ZVuVWOj01x5MgIp512MpmMm9i7GPRURkulCEPDww8/knreGyYmChw/PsLmoQJbnrQ52Tbuejq2bnx8kl27HiUMK9mDJ8bdsU85dTv9fRWxEBdUT1u1Hn98P4cPH0msWFOqyOjoOEeODHPaaafie5XFZXf+YdK+VAp56KFdFAqTlWNPTHHs2DAnPGlbdcmgOrFpw8Oj7N5d/bwfG5/kyJFjqee9R60ro9uHZffuRzl+/HjynU4yyfDIKEePDnPaaacn30+ySB4vjlsoFKf4z//8T4qlKawtu/aTUxw9epwTT9zG+vVxSaH0XKzSj6NHj7N79y6MDYjdMt385BinnXYKuZwTp5XvK5VJ1Voe3uXmJ9aWwQYwAcePH2ft2rWcdFJNSaFpORagNq4vvqjtCLz58NVYKDdRiblbGDrLrrASiMzvSndFryxa55KX0lmU7kLrLrTO4ekuPJ3H03l8r5uM3002qveW8/voyqxNXnl/gG5/Ld3+Wnoy66s+q2wzyAa1nadkN3J6fh2ndQ1ycn6AJ+m1bLTrGTBrydouymaSifIRhguPsi+8n8c4wKEpQ16DF93nA5PwvtP28PwNo/zeppDnbMxyjnoWJ+WeTRcns/fxxymWjzJSeoJhfYScp1ifg+19irPX+lxlT+WS/vVktCKv+8n6PfheN1p38cQTB5gYn4iyYAVuYLHOHVPrDMWi5rE9B5KBNv3wKZfL7Nq1q3F6YKXYf+AgI6Oj1bETEcPDw+zfv7/xd2gtj+x6hDCo43IBPProoxQKhYbNx8fHpwm7mGKxyO7duxsfG9i7d2+VsEtz5MgRDh8+3LBtGIbs2rWrStjFOMH7COVyuWH748ePTxN2MVNTUzz22GMz9v2xxx6rEnZpDhw4wPDwcMO25XKZ3bt31/1eZzovoRpLZ0VdZbwTlg1KtfxSUc04hZNYxlp27dpFEBg33igdWaicCHvs0Scolw1a5V2isvilMig8xsYn2bfvkOtOLAQit81CocCex/ahlIut83QmqmNXsSQ9vnc/k5OFqhCMeFH38OHjDB8bQ0XbKjziAucKH2MUjz76BMaYykJw9LIWHt39OGFgUx5A8QKyj1JZho+PcfTIcCJetKos3E1OFti79wnnFhr1X8UxftE+Hn10H8ViqRLPlngeeezff4ixsQlcXL3L5umSu/mgPEqlgEcf3evizeK+RfsPAsMjjzyOtVEWUuKXnxz/4MFjHB8ei/rn2hH1a2xsiv37DiX708pDaff/OMZx9+49lMth5C2VIV38/fG9BygWguQ7TvahfJT2mJoqsmfPE8k1i9srpSmXA3bvfgJXc7ByrSvXzmP//sOMjU5E31XG/d6i3+XxY8c5ePAI6eLoxMI0PtfkPy+5dslvHFKfN/ff7PeNV+fVRLsFoJOarhJz1zyrWtzF2bOU8iPBlsXTXa4waerl6SxaZd02Xh7fy5PxuvG9rqiweFxgvIes10NW95L3Bujy1pDX/XTpNeTVAF1qTfLKqwH30v2sM2vZ2utxQo/Hk3o0m7s1G/IZ1vhZelUXXbYHYwPKwQTlYJzJ8hHGOMpkYAmjmV1oLM9Qo2w5a4LTTzzMOeuPc/ZAgSf35zhVPYlN+smMDAeEQZkwLFK2BbSCbg8GMiG95QIneKPo6B7XyYM9ehiiOHjoUJ2r6AaGI4ePRw+9ykMrXWi8WCwmVrlarLUcOlT7cKwWeIcOHWooDoeHR5L6b404VLfvjoMHD87YdmJioqF4C4KAo0ePzth+pv3HdfMaYYyZURzO1veRkcbXZqbvpJn9Hz58GGMax0AEQcCxY8dm3L8ARJa7tou6yoAnLAMq2SrbeKUmnsePj1Auh9Ekd3pIhLWWo0dGokl1JDCi+C2tPQ4dPDpNWKVf4+OTFAtllPYSoRQLwCAIGR4ec+dT2zYavw4fPo7GiQonnOJJveLY0WHCMCQO5ah+gQktx46PoOJF59TnCo9Dh4Yr55s677j98PExgiCy1KUKfit8piaLTExMEguitECK93H48PFIFGq09qK+O8Fz5Mhx97ypEmfx9c8QBCEjw2MkJZ20V3UOhw8di/rrV85J6eT4hw8fx1oSMaepXPfxsQn3ncTHw81L4pdSmoMHjxK7zsb7iDOaHj58LCWW0/kR3PkXCsVI2Fauu+u/e74eOXK8/jWPBH48TlbmlLW/35QVMpnXpOY7MwmshiJspnumHrPdZwuDRXX0Eppj1btlKuWR9dfQk3PFpGNXhzhIGkBVuWF6+CoXlSbwyahufOvKFHj4ZGzWuVcaP3oce8naYHWdFTDOk5xnrevlilOc+CgbzUQ5w0OjPRwo+jwx6bNnPMM+epjgEGE4RsEWKeXG6fEVRwqWjV2KjTnFH/z4BcAL6DeGgb17ecpvHuKpf/849+zfyM+PbyPkEianfkYm20dgJjEWctqyKVdmk7+fH+7NUwhV8oDVKoOnc4SmBMpnaqocXzSqa/Z4BGUf3+vGGJ/QTOH8yw2WMMlGNTk5mcTPVdAUiwWsqcQkuGPE6aydq4Axzte/XvzcZAPLU9U2k5NtfZbepl4MWiOrV5pSqZQUD2/32O18lt4mV6dI/MTExKxtZ9qm074Ljk4CzF17QVgeqGjBEOolx6j9d2XCGVtUAKamymgdP8+8mkm3m+yXihbfqx9rXSpYPJ3F2OoJbSwStMpQLkJfT1fSRxMl4pgsTuDpHNr6URyYSc5HofF1jrCs3IKw9VzoXmpRslQEX+cxsfdL1bVxgqVUcN4wrg5basxQmqAMvpePXAtTH6UseaVCSD7bDQqM8pJ4tWJxAk/niev3pa+zUhpPZ6NrkyNOymK1ceceKooFi6e7kvOO+5wOTykW3HVP5xgIbZlSsQhk8HQXQFX7+Pi+lycsK3KZnJt/6Mr0tFwA3+vC2DLGBFj8qmuvlU+5BL6fTwRhYvFVOmkPVPU/3Y9S0eLpqO/KlZ9y33kRX3eDVcn3ZnHhMtYaUCFhaAiCkEwmF1mJs9OuFYSgiFx9ib6DuORG6vuYbSho6PLZDqnjWhfkIrF3KwMRdypHPjPAGn8b4G58Y8MqX3y3SuRWc3ybwSeHj49nfXImh48mg4+nNDnl4SnlXlqRUcpZwurcsKFx8uep/SGnvrgIxmKnAoKjAWt+PcBjo330eHk0GR4Y3UoxO0oYFvC9btaorZw6oHikUOKEnhxVc3etsdu2Ybdt40lj/5e+b+8l/+AWbj+8lkNKASEhAYGFolUUjGa4kKdsQ0yD+7raf11H7jIuuNvaEE9n3cM5CTgvu0B0CzaVTrr+vqPVwERYp9I+pwRew/YNvttpx2jjs9m2abb+UiftZ+t7Q3fXWdo3kyhmpm067bsgCKsIpVKirNpIUTUBTkhlolbZqHA3eF4erXLJZxVLCZGXjY/vuQXYtEAwxgmijJfHWuXi2VOTaq18tM7gKZ+Ml8fTuWQsUqYU7d99buKMlHFIfnL8HFr5eDrrMjMaMKlz8r0sWmdQ1o2b6XlG7Cnje1k8lXWfVT0+leuTNVV9r43x970sXlSuSFvPiRFlo3PKRuKkRliiXdZuL4+nqwV4LGx9rwuto+LuKjU/ii1o2sf3u/AjcZh8bjShZ/F1PqmEO73vmozuIuN14Xu55HzAzQc8L4evs4Q2ss7WCEytMuT8HvzU7yIdt5fxu/F1kFxza82078/3nBtvxSrormfWs/jR9xlfdxNf/0jgWWVcGE9cLkNHLp7uAkR9jYvdT/+t134fMzG9ZvL0RePmqemDbexFNFfE4QTtthWaY3WLO+VW2HozQ5xkTgbcKltsUYtvOFeaIPKgV5qM0ol4y3uajHZiLqMh5yl8Bb4mec9TrnRB/JyOf5+hVQQGnnfCE/CW17pjFYtkDxzg1G/dxZZfPs7mR9YymBng0fGTyPg5DveuoUev43eyJ/KiJx3mvaMF1ma3sD5bJgnYTWH+60vpP+UXPPdf7qH4n/10dXURC7KpwDARaIZLPpN2EHDuhbWPmdh9oa+3O/m3e/A6y50xRbp7swTFQUrhRPTg9DE2cDV3LFhl6eutn1Uqn8uTyWRcbJk1kZhLBR9bSyaTqWt9Aujr62sYdxYzU+bH3t7eWd0H+/rq9727uxut9YzuiV1dXQ1FUm9vL0eOHGnr2PFno6OjM7ZvdO7NJDuZ7brN5tY5U9+FCp0Eist4JywPNJ6utqYl4kpVW1JiYmucE03O8jIwsI5jRycS61C63JCnc3jKZ83ABnyvC09VEmEZFWIJGRxcx/HjxwhMtbjzIoHiqRwDfWvJRm0NhlD7WEL6ezNk/G7nzUKtSPHI6C76+vqj4xrwNF4kphSawf51jA5PYQkxJkhKHenE8pahv28QX+emLTADDPatZXxivKrvSumkvaez9PUMJFYnrVQ0nwkY7F9P1jtEaIMqYZl4JOksAwNr8XU3OnZ5tYaQAIVioH8tExOFSNwESVutfeflo3zWDqx37VXFIqW0xstn6O0eYHySaecVi9JctpeenkG8SJClM2UO9q3hoD6GskWs8glTIkRHwnSwf31inVORx5T7h2agbw3FQjn5zkyVRY3oN7OOjM5XLMA47yu/u4t8dgBKuGzhppyIvFgoZrMZshk3P/J0JlnsTm+T/F5qfusWU9cbsxG1mdeni73mSV8DQ4BVxXnPWiJ17haGVSnuMpkscVHStb3buSD/HF59UoCnLGEUxxLYyF0q+p07ceZEWkZZtLJktCHvlcl5Ib42ZDxLV6aM74dkMiGeb8jkDdqzKM+iUwkXrQFTBhsoej59ReWDXB677SS4+iS6gDOAM6YKvOKGL7L/P3s5NPEMTh46zvqr8pjnXcQLXvFbXvr6EcylF+BWYaa7CZrzfofseb/Dvq9eyZC/GR2tCh4sTmFtFyMlTbfXxd6wB0uB0FhnvayqCROwaWijW9nUPdED2VmNrLL0D0wxNZJjwD+BUX8fQThFYIqUgnGsDch3GXr7KkIhrlsXBwdv2XICe/bsrQw4NgC8JP3yTFkbe/t66e3tZXx8PLHypfE8j02bNjVsPzQ05DJ4NXiorVmzpmE5Ba01Q0ND7Nu3r+H+Z+r7mjVrOHDgQMOEL5lMhvXr1zdsv3nz5hnF3YYNGxpmy8xkMmzYsGHGmL7NmzfPuO9Dhw41TPiSz+er3HC11k2XdlgOWGspl2d3y511P3Q2aHWUaVNYscTj3FLB83pY27OdSv0wEpFhbBlrTTJpj13uNJqM18Oa7q30drmFosEuKI70MDVZSCbq4Cb5Gd1N3u/m5E2nkNfdZG2eOEt1QRcwBGSetIYHxx6haMdxJXzcsTwy+CrHxnWbGMqehIrcNq0yFNUUVllCL2D7kMehQ4edQEgJJI8MeXo5aWgLPSrvslzXFDHvXW+ZOpqhUJwksMWqOra+ytGV6+aE9VvRiWD1qmLPn7x1kF0P70n6HqPw8FSGoU0b6M8O4eGjrYfGx8lTg+kJGR+Cw0cPY6wrsRR/F57yyaleTnvSqfToHjx8fDIY5YRhQY/T9aQNFEdzFMqTGFuu6revcvT3rOGEtdvJ295EWAUqJFBFAlvkyVt7eOTR3YSUq4SpF8X3b3/Sdtbp9VRcDCOXWAx9vYaJNR4jo6MEFJPjx/FxXV4fp27eRsZzY52ycdy++w11bVqHGelhKhx1JaVsiMFEothjsK+fjX0nJPkFPOvjRdNjg+EpW7rY/cRuAlt0JapMMfnurTWctP0EevMDyfewrleRYcwdJ/5NR99XYjWkuo5x5Z5Iu6xWk8643kjUNVMXsPZ9gyE0JaYKT1R9t27buRnnkv11EDsnMXfNsyrF3ZlnnonnOXGSz20k6/dycH0ffp3fjbFQjszIgYHAwlToEpiUDBSCkCCEIDAE1lC2YWTzqzzQo/BfcsrD1xpfKXyl6PI1vlaYFz/Iez65BnPy9rr91T/9Ff/9F8/k7tIdFMrDvGH8D3jTj/eQfV6eq176OObSl0ZbekAOqJNAY7LMk7acEmX/cqt643ocv+xRNj4ZrRkdzDMyXsZQTj24Qnwvw7Zt28jneyJxl3XB5inyuSxbtnmM79N0s46ynqRs3APByxbYftLGGb+T9evXUi4b9u8/gKutoxMr3uYtW1i3bl3ddvFV3n7ydh555BEmxqtjxDKZDKeccsqM5QDy+TynnHIKj+5+lCCsdksYGBhg27ZtM/Z9aGgoqVOXRinF1q1bGRgYaNhWKcWpp57Krl27psXv5XI5TjnllBldI3t6eti+fTuPPfbYNOvh2rVrOeGEE2bs+wknnEAYhtMsl1prtm3bNqN1T2vNaaedxq5du6Ylbenq6uLUU0+tmlx2d3fztKc9bcb+LCfCMOSXv7y74/1IzJ0wH8Tj3FLB9/vZ2v2sZMINJAKpTAGLJSSAqlg2TRd9eLhYdoCAkLO2r+XRx/YxMTlJGE1GtfLoyfRxyvYT6VM9ZE2GfDRZByiaPAEh3dle/O1dPLRnF+WwhI2Kh2dUnvUD6zlpyxZ6TXciUEJryJIjiITayZv7yIf9HDl6jFC58UJb1377CSewprsXjPNWCaP5QJozT+7isd37GS2OVFmx+nL9bNu+mazKRldIoYyLG/Oic+/tHiSztZtdTzyKsWHiMumpDBvWruWEoU0udMRmXJ8SgeJiqU4/IUvW9HJ0+CiGSCDhkfFynHriyazJ9pMxGTIu8CRpV1DdlLwSZ53aza7de5goVRYUs6qbga5BTtl+It1hFzmyaGKLoaGkygQEdA8Oop+U44n9B5PvzFOur0ObNrJ97Qkoo5K2YSyGlOvDGVtPZ8+eAwyPjRKquO+arJ/l1G3b6PHz7rqnrrcTah7dvuHpJ3Xz0GN7KASTGG0whPg2Q29fN9u2bSFLBm08d+2tTq45QO/afmzZ4+Chw5RVkUAVEmG2+Unr2bR2g3PlxMO3Gfq2bcBSEfc29TuIRV5ljtisS6ZO/VU9XqhZXDMt1VmrzbRRw1AyUwxPPoQ1xapP52qcE+rzi1/8gq985Su8853vZM2aNbz3ve/lgx/8YMf7XZXiroLz8x70ujihK8BX1sXH4W43G1nvikYRGGfNK1vFZKAoGUXJwFTgUzaWwHgE1lIKnYd9bARSKsrHpBQ5T+NryGiFr6HXh4yGswenMCf/TsNemhfs4F3f+H/sOvI8Ckaz4+l7yL34dAyg3vzSmq0zuK81iM5CYf/+G3z19pN4VteLOapGGOUwBTPOEbuHUdVFzvTimSwFb5TCiWMcHz2IHj5OrjRFbzbP4GA3vt/lgoS9HFmvuyoFs/UMSvlkuro4YaCfzLFeDhcOM6L2M0WJvr51JA8wWz3UWWwy+G7ZMsTatYMcPz5CqTiGn/FZM9hPNje7tcf3fZ785CczOjpaVcR8zZo1TcWW9ff387SnPY3jx48zNTWF9jT9/f1NF/I+4YQTWLduXVUR87Vr15LJZGZtm81mOeOMMxgeHq4qYj44ONjUyvuaNWvo6+vj2LFjVUXMK4VdG6OU4qSTTmLDhg1VRczXrl3bVBHyfD7PmWeeyfDwcJJ8pbe3t07iHKERndT9EYTlQldmLTt6TkIrV74nfrQZC6XQLZwGxmWAtlg8FFpFoQ66ErceL7L+zlNPYvh4geGxKay15LoybFzfS0YrMp4iqyDjVcbzsnFty8ZSzA1yWs+TGD4+QaFQRnuaDWt66OvLkdWKnBcLO1d6oRBaQjchwADbTlzP5PoyE6MFTGDI5XwG1nbTlYvElHXbGxvXeXPn4msFOTjjzCdx9NgEExNuUSzfnWVwTTdaVRZrFO757CtFRqvk/M3QOs4YOJHh45NMFUp4vqZvsIuurixaqWS+4WlFVrv/x21LYR9PPmUzw2MFjg1PYEJDLp9hzdoeurM+vnbH85Sbp8SUTTehhXJmI0996skcOTrO5IQr/r52oJs1g11JSEpMfO2KxibPuJOHNlBcezojx6cIyiH5rM/gmi76ujNktMLgFs4DA8WwYtfylUJl4ZTT1zE1VmJ0rIAyllyXz+DaHnLRgQMDRWMqHldAxtPu99Y1wJMHNjBybJKpqTJKK/r68/T05dBxsrs4xhJ3Ddzv1Hkonbitn8kNpzJ8fJKJYhk/6zE42EM25yffjxd9X9XxpNXyrdmEJbPVsptpVtNILjY6tjEwFgT81D9AqVya1wFJYu6queqqq3jFK17BK17xCr7+9a/z3e9+d072u8rFnQuiznmKPr9MzotdLCquUsYqskYTWCfwytZ5c8fizsMJvtBAYBVFrXC14Nz+VfSA0EqR85yYy2r3/x7fklGWJ580c8wVwIa3PI0Nh49AYDBP+y+Ynpkm7gon8qJ/XfVKXnTg39g/tRV/zCMgpKyKlMwYoSpRVkUXwG0DjA3p6elGZ4pYMtjIpcBlzsy4IHXlV7nWuHVF38UsKEVmnaIfjW96GC+sx5gixCtXyqBqHxxJ0XNLLpdjaGgdxvTjluHi1a7m6O/vn7XodyM8T7N+/bq2LSFdXV1RTGN7DA4Oti2KfN9n48aZraMz0dPT03bBcaUUa9asYc2aNW0fXxCElY3vdXFijxvz3MTZPWlDqygkC6gqEnduauspyHsWP2oDuO2AslGUerqYCrqSyWxWuzZx3HtGV57mZeNi3MvRWD6YzbK5r7JwmPchE7WrzAHc8YqhW9yN0Qro8mFdl0skr+PQDdcmjBaD4zY6WjTO+24bDWzo7sOYvqTv8cQ1FkWJIFTQ5VX6BbA2n6U8kCUwJOWQIBXuUNPOi5K6hdG5b+zuprCuOzm2BrKe28aL+hsfT6t4LuS+l8DA5p4BjHWf5aL5jJ8co/KKv9O4X1oBPR6scfHzcdv4uy0ZKIWKkoWpwEuuQ16DFx1DdeVRm/LumipSvwsoGtcuvu7x1xR/r1p5mL6+SHS7fcbX3kaL9/Hl9OKFeU0U7qEI8zmCtTmqSuqmrxWVvxuvy6o6f1Wol3xvNuqJnvrzmMrO09Ow0MJwKYtf6qKEhhpL31wibpnV5PN5/vt//+9cfPHF7Ny5c9YEec2y7MTdTTfdxIc//GEOHDjA2WefzSc/+Ume9axntbUvhcJXOfoyHkM9o2T9EBUNOMa4h5kxmlLoEVjtHlRGMxV4lKymbBRToU4Gm/jBCSQPvvih7mlLVlmy2g1UGW3p8UM8Zcm/+yWz9tWcuBVO3NrWeQJ0X72DZ71zF57KEYyspagnGCvtjwKePTyVdQ8+GxLaEpVHg3NfdTUAc1EmLVcc1cUrRNmnCDHGEqgSRcYIbQlrA3ydJ0xva4pYZUmEm3JphZUNUw+jVFKVpCRC9cNqPhZwVuCikLAM6DjmbgUOeMLcjnVLgT5vE89/0iEyGYPnh3iZaOHOKEoFj3LZoxxoQuMlYsDTIflsgJ8xKG3R2rqxOdSEgSIIPaZKGcqhxqTGX3A78FXlqR4YRWg1YbRoG5jKRF4BvrZx/i4nHKMxPh7nDZEI0hZfO5Hqa0s2lTlyMvQoGeftU7ZOFOqoHxkFg9mQrDZktcFTNhFLgdWMB5qS0RSN8wyCSDwpy2A2JK9DMtria+fE7eYkMB740WKzSoRrfO59fkhOW/JRToCcdou1oXXHCowiRFXNXeLj+lFuAQ9L1nP9VbjvwFcWFGjcNrGXU2A0E4FP0WiKoSaw7tmmolwFA5mArA7J+oaMDsn5rj/GaEZLWSbKPmOBz0SgGSnrKA0NDGQMPb6hxwvp9kN6syX3fUWpasaLGSYCn/HA53DJJzCVOdhAxtDrG7q9gIFcmYwOEwFVDt11KIUexVAzGniUjcbiFgYy0Zwtq0O6vBAdzw9tXHfNXcu0uKrkZ3Bv6tTfVb9JBV4cs6lARYn3GpE+hqtxGv2dduu36e1nsfyl7o1SqDlYyHH75FqmSgdq8i3MLQtlubvxxhv56le/ygMPPEBXVxfPec5z+B//439w+umnJ9sUCgXe/va388UvfpFiscgll1zC3/3d31XlaNizZw9XX301t99+O729vVxxxRXceOONVZ5N3/ve97juuuu4//772bp1K+9973t54xvf2FQ/Y4PAM5/5TC677DKuvvrq5k9yBpaVuPvSl77Eddddx80338z555/Pxz/+cS655BIefPDB9q0Wypnsu3IlfL+StcgYhTHuJtJlQ2g89yA0zts5ay3lUOFHSViMhZDKAzIZnOIHpHI15Xxlkgd0PkrEQk1chL7jLuyxcfjds7EdWGPS2K4uejNlurwcWe2Cha0NXHpoo7A6RGnPJUixAZag7gpCHKxrCCDKmhWaOOahhNY+gfLdZyaAqJipcR6iWOVVC7kagRePrs6SVxk0RXgJK5fOirPKvbHymJexbpHJ2jwDm4t4XQqVV6hc5F1iLfnxAFMsY0pgSmBD5ZKQ+eD3KsgqVEahPI01YIMQyhZbKlEeLRCWFGGgKZc1xsRp/FWyWAtOQIQGiMRdPCGO7zxPmWTSPhX4lAJNyXgUjSajnYBRCro8Q04bJ1I8Q8aLYqiMYiLIUAg8CpFIK0TzCz8SWGuzJbr8gKxvyPoh1kIQaspGM1LMMRV6FELNVBiVVojERdwu54dk/RCtDcZoyoETRYXAd8cMNQUTletWlsFMQJcXkvdDcn5IV66EUhZrFaWyR2g8yqEmsJpS4MSUsQqt3FzF1xZPGboyAZ5n8bwQz7P4mRCtbVJyzYQQBh7lsiY7macQehRDn3LoBJCvLVltWNc1RT5XJpsP8HMWL++uqylB7lie/FQOv+QSvMRWNA8nivv8gP5sid58id6BIl4mSkoSKLpGcuSncmRKlpJRFEIn0Nw1COnLlOnLllg3MImfNWjf/S7KBU256FEo+UyVMvilHCXjFgoyKhLEXkDeC+nNl/C9MDlnayKLptEEgU5+O4mwi8Sa1halKi/Ps4mYU8lnLjkp0fu1JEmzLElJPGNSAi/5zddsX4f0/uP5bhAo7LDCV/UTxy1H7rjjDq655hqe+cxnEgQBf/EXf8HFF1/Mb37zm8RL6W1vexvf/OY3+cpXvsLAwADXXnstr3zlK/nhD38IuHjDF7/4xQwNDfGjH/2I/fv384Y3vIFMJsNf//VfA7B7925e/OIX86d/+qd8/vOf57bbbuOP//iP2bx5M5dccsms/fzgBz9IEAT4vs/OnTsb5pdolZbF3RVXXMHOnTt5/vOfPycdaIWPfvSjXHnllbzpTW8C4Oabb+ab3/wmn/nMZ3j3u9/d1j49fHIedHWX8XJxXJjChAobuhvI9w0mDAiNJgw1WT8kNApjFGXjRSsRlZWcGLfyaCK3DUsuWvnxlMHzLBk/QHvVN7K5+d/44u1bmQjyvPa+H9N1/e/Peg4H33Yrh8e72DI4xtoPX1Z3G71rN8am/MiNwpgQY12WRhOWUCaqK2NDrC3FLUn/TFx2MldINLRlQlMkCKdwZvzYyhcVEtVxkfMMSvmRi6dxDx6DE5BupyhCrIoDDlIlHebQ97vW+icISwHbwUpm3F6Ye1baWLfYdJtecr+Tg+4c9HRBd+TCHoboiUkolKBYhlIAYehmu76GwR7IZCCXBd93M9JyAEEAxRKZ46MwWcZOlQnHSk70Bbbi1R8PJfFaYcpclyQWjIYcG4INoDDqUyp5FIoZioHHVODGQK0tvdky+UxANhuQyYb4eePu4UAzOZZhqphlquwzGfgUQx1l1rZ0ZwI29E+Q6w7I9Bi83mgcDCzhFPQfyTJZyDFRclYocOIu74Ws75ugq7tMps/gdYHKaQgttmQZOORRmMowVcowWcowGbX1tWEwX6Q7VyLfVSbbY/DXaFSsqUslTNFiChAWFcVJ34mUSCh4XojvWzw/JDdgnCjvUqicj+7vrvh6lg22FGKnypjxEl37yhSnfAolnyCaU/g6pCsf0P+kEt4aH9XfherNQT7nvuvJItldo/QcLtE9XCY3lQfyhNZZujZ1FVjTPUXvQJHcevC39TkfV4BCQO6xMXqPFOkbyWFsP1Oh59pqy8Z8gYHuAr0DRbpOyaB686h8BrTCjhYw4yXMyCSlYUXX0S6KgU9oNBnPkPMD8vky2a6Q/AaL6taojOf8QwMLJsSWy5hJgy1Hv7Ga35fOqnilH3zQWZ348aqsT6TEAYVK+946f9jKb9ZYrHHhK86a4P5vXcHkquBta2z1wJDyEU1+8/F7SmGLAZldx+l6pC8KuamfAXsuWKhSCN/+9rer/v3Zz36WjRs3cvfdd/P85z+fkZER/vEf/5EvfOEL/N7v/R4At9xyC2eccQY//vGPefazn813vvMdfvOb3/Af//EfbNq0iXPOOYe//Mu/5F3vehfve9/7yGaz3HzzzWzfvp3/+T//JwBnnHEGP/jBD/jYxz7WlLg7//zzq/798pe/vOlznImWxd3IyAgXXXQR27Zt401vehNXXHEFT3rSk+akMzNRKpW4++67ec973pO8p7Xmoosu4q677qrbplgsVmXxm5YyXlVcH7TvVgkjtQE450BP2yhtrHv6K+WCpDUaoxVRfe66Ge80Fk8bPO3W5TOeW+3yvBCtwfPdv9MM78rwq2MBU2HAoUN9bGvi2nxr73ruO1Yk663nrW+9lS0X+9jf/R1slKVR7d8PB45Tthn3PEha2sg6l34i4Sx3tuIuUOt/HRc2NcaJPJddyQLlJAhYkcEDJ/AS90pNEgacCLm4J7hYPKWoFXZzMXcVxzVBEFphuYx1s45zSwQPDwZ6oKcb29MF3T1uOAgNKpuFQgEKRSfugsBNgDM+DPRhc1nIZsHPJG0olVDFoptR50qobBEPnNAIDDa0rqRYo+wS0XAUz3GtJbIGWjKlOG29+zCMxi0PQz4TkMsFZPIhfs7gdUcLNCVDtujq1wVGkY0WfD3l3DBzXkg2VxF2ui/jvFQCg/IM2bGQMHRty7HA0oZs3K7b4PcoVI+H7vKxocEWQ7LjzgLoLJMV7yFfW2fpy4ZkugxeL+h+34kTpbCFAJUP0RmD8i3WhOiywRqNtaA9g5+xeNmovz0eqjuL6vKhvxt8LxHaqlgC3+VAzXSXMcZ55+hII2QzAdlcgO73UP151GA39HVDV84J9WwG1TuBPx6QnQjIFUMy2qCt847K+wHZbIjfY9H9GSf485FKLZTRx6fwp8pkp0KyOnTxflbjK0POD8nlAvxuix7MQ1/eLRRojdIK7TtvIb8ckhuL3FaNR8YLyWYiAd9t0P0ZVFcGlfedUDMWWzaowKAyJWzZCbyqhAs+KF+jolV15WnIeSgdBRrmfJyvphcJQK9+0J2xEIaoSORhTOW9SOjZZIXQuvcaEQlJABUdyxY9st1TSfmH+SSSp223henPuFwu17AOckxck3ft2rUA3H333ZTLZS666KJkm6c85SmceOKJ3HXXXTz72c/mrrvu4ulPf3qVm+Yll1zC1Vdfzf3338+5557LXXfdVbWPeJu3vvWts57PnXfeOes29TjppJM48cQTZ9ym5W/ya1/7GocPH+af//mf+dznPscNN9zARRddxM6dO3nZy17WVHbAdjhy5AhhGE6rV7Zp0yYeeOCBum1uvPFG3v/+9ze1f5XSHS7JpEV7YELnL661c2VQxkZBuAaMxtM2Wlyx6NSqQuw/7SmDVpGfuu8sd9pz/9baHSPN8EQXT4THKagJRorNud88OBLwi/J3McUyT977+/yX/3ecrSM/Qp91EnbtIOrQEezIFIHJ1LmpKrFvEKbEXoS1VcooXXjTvYIonq7yQLM2cJY6J4+rLrJykpeGAbtihhBWGRJztzRZLmNdK+PcYqJRblKdz0Euh+3KOwEXhBCUK06SXhkCLxF3Np+HfA6bybr2SkMYoHwfqxUq71LgYwwUXBZEiiHKcwKvESqdslMplDHYKH5O+xbtGed5ow1+9L4XL856Bu0bVAZUVkV1qaM2XoivfXxtCY3BUwZfu/97WVfvVuW1EwnWQjHE5i1exiZtPW0gsjz5kchSGSCnUNlIIBgNBnQuxCtYfD/AD7xkwVin+qoyoDLumMr3KskACoCxeBbCKYtnwChnifQ8665D3N+c7/qcy0BXyorqRzX5AgvlEJUp4/kWL7AY4xbEPd/iZS0q4zurWT7rhF1XHvwAjEFlNToLnm/xPRfr5+LSrJs1+CE6h+tDPgOpybzKeuhcOVkw94zLUuopF7epPePqDOf96DeYdUKqVEaVA1TGQ+ecpTIMLRDieQbPT12DrBcd23fnbiwqE0aWZgMqxF3IaP6klfuN+ZG1z1NOUOa8iojLZaKMLcq9F2d4SQu8JNOOIYoVcn+HIYReIvSUSftspix+0W1VuRFTJuvod6AgqsPcfkH0ZrG0b7mLx7qtW6vzT9xwww28733va9jOGMNb3/pWfvd3fzcpx3TgwAGy2ey0JHabNm3iwIEDyTb1nsPxZzNtMzo6ytTU1IxJ9q644oqGnzVCKcVb3/pW/uzP/mzG7dqS6Rs2bOC6667juuuu4xe/+AW33HILr3/96+nt7eWP/uiP+G//7b9x2mmntbPrOeU973kP1113XfLv0dHRaT+KGBuv8CWLH841k8i6bYxyvv5RZkxjnH96GPk9T7PcWWe5M9oNCCrSMlpbPEK3Iqimr2EM9kzxJG89U2EfA7n6ha1rOX3ApxT+HlnP40Vbj0SWu+dgUvXV1IHjVdm2KkRWNZf2JQp5i8soMC3lUxxzp6wTagrfCbjIj1vhisO7v2oeFDYu+jpDsG5tDmFBWAWIQJvOfNX/aYXlMNa1Ms4tJgYLxZKbGHsa5fkVy12hVN9yF4SorCtWrsIwep9qy12h4PY7VYZiUGW5YwbLndW2oeXOBFHSFuPcFIO4oHloCEMPE1pMYJ2lq1SJGzOhJgy9KPmaIrBR7JdxiTfCksIrWVTBYDNBYrmjYAnLlbahiYPZDEGoCcoKvwwULdY3KC90lrtyiClCGCqCwCeIwkWITtv1NYysSgZbCCBjE8udLYfYgiUsWEygCUOVWO7AoAJQJYstGKwXuO9NAVMl8MOKi2yxhC2Uo31CGCjCUBFGsYNaWcKSio5Xdt93Jpp+lgMolLAlgykRJcqpJHpRynlRhYGHKbpzUIWU22ChjC1F1yHwMMZlXA1RKGsJjYcJNcYVJoZMFHKitTtuMUiuYxAf23joEMLAuN9CyWJLIXiBe1J7YWK5IzDRPmotd2D9yHoc2sRyZ7EobaI0n1F2Bt8DVZ7VcpekcE1Z7qhjuZvRz7+u5S7AlOJfzdJn7969VVnRZ7PaXXPNNfz617/mBz/4wXx3rSV27949b/vuyAa7f/9+br31Vm699VY8z+NFL3oR9913H2eeeSYf+tCHeNvb3jZX/WT9+vV4nsfBgwer3j948CBDQ0N128xqqrWuyGbZQLngYQKD0lGgrFFYo7BWUY4euqFx5vpi4BFEmaZKxvl2W+seRpaKK4eKMk3FCVWyOsTXcbYpQ953QcrpSmrrXz3En5WPMF7MctJ/mV5qsh47/6oH2z+E3bwZmH572s2bQSu6vvqQWzyK3lfKSwqaKyrlDax1sXhxfR6l/GSlRymNUj5KaXTUPm4Xb+upyoq2wZVXcMlbooyZNqy4fZJ0hmmrRg0yZbaDyERhqSIxd/WZr/o/7bCUx7pmXJKWAkVVxDy0H92dRXVnnAVPKyfUxqfcBLkQQCl0wky5GCTdn3PWHr9i/aAcOotfoYwZnsIUDLZoCCfABC4hC1QnlogTAFpb/X46wYS1GmsUU1NZioFHIUqsMhV6WOvCNIrGI18IyU8EZDIhmYzbcRgqxqfyTJV9pkKfQqgphBovirmbCn2844auqRKZ4yHZrrKbawSKoOwzPNbFRNmnEPiMB3GsmkvE4o8augplcmNlMrkQ7QdYowhLivGxbiZLPlNln0LoMxF6LlI+sjYWA4+uYpnceEButERcxSgsKsKyIgx8gkAxVcgmC9bxsT0dkvEN+ckyfjbEy02is6C7x53LoYqua9liii52cPx4lqmCu35l4/JBZouGfCGARybJ9o/j9U2iuzWqKwPGYqYCintDJkayDI93MVLKMVb2CK3C15ZjU3lCowgDRfdUmVzpICobzVdKIcX9hsnhLCOTeUbKWQqROPTQ5Ao5lx21XEBlRtHd46isRmkwYyHhpKU8rilMZDk+3k0pSjDja0OuGNJVDMhNlekpltG5sgvfiWI0TQCEEBQ0Jox/V5X5n/ZA6RAVJ1HxIJ5Oub+jCVlUYDmpMFXHcpc4VcXxdaGzTqZjS6fFldYjNlanplumBMcOdVNUx+csFX8jZvKUbqYttFby6tprr+Ub3/gGd955JyeccELy/tDQEKVSieHh4SrrXfo5OzQ0xE9/+tOq/cXP5fQ29Z7V/f39HZXG6pSWxV25XObf/u3fuOWWW/jOd77DWWedxVvf+lZe+9rXJhf7X//1X3nzm988pwNeNpvlvPPO47bbbksCDo0x3HbbbVx77bVt79diCAyUSh6+qRSfTGfLjLNKxStqU4FPYDXlUFEwuoVsmV5VtszAuAdIGnPeuWwZj7Jl7ji7qXMwpz959vPs6U1icEMLVkXCzTorm6czqWyZCmuSAMRoB6byUECB8vG0Tix4QCT2fCcGrSE0JUJTrgg7nMij1vUzEnZuv87/PSm2GeemFoQVS6fZMlem1W++6v80y0ob6xabkipQftzgdZWibJnR9MNazHjgknvUzZZZTmXLjDxoXME6bMlSHlVRtkx/3rJlToU6yZZZMpqCNmTLPtnSLNkyw0q2zLJRZFSOYuC5bJmTzWXLLGpNppCjFHjkSpkWsmW6rJeBUVHbkK5Sq9kyfbySoVz2ZsmWWbn+ow2yZU4FPnrYkp8qkx0J8HMhXj5IrJ5jx/OMTeUYLedcOYQo46VnFGOen3ynQejRGxbxMs56ZwLF+EjUtpRlPNBV2TLzZbfYbCz4B02ULdN9Z7XZMkdK2apsmUXPd2I+8AlDbwGzZVY/66Zny1Rzni3z6GQ3Zbuf+bbeuTIObbplttDOWstb3vIW/vVf/5Xvfe97bN++verz8847j0wmw2233cbll18OwIMPPsiePXvYsWMHADt27OCv/uqvOHToUJKl+NZbb6W/v58zzzwz2eZb3/pW1b5vvfXWZB+z8eUvf5mXv/zlZLOu5ubjjz/Oli1b0Np9p5OTk/zt3/4t73znO5s+d2hD3G3evBljDK95zWv46U9/yjnnnDNtmwsvvLDtYswzcd1113HFFVfwjGc8g2c961l8/OMfZ2JiIsko1g6hLTEVWI6M9ZD1KnXubGoAKAXu4Vc2irLVTATuYVw2iolQRcG7RAVS4wQrjnRR0Hy08JjVruZNr+/q1px6512Y51d+COYFzf0oWkHf91t2jXdzcMoyHE5R0hP4ugvlaTydQav4AVgmNC4gGlWOxJ7F2BBFgDEe2sug8aMHkYencyg8MiqHr/Jo5VMy4xTVBMVgDGOLUZKW2GJnKk8hpSK3TlWxHGKjcgmVrJm11ru5sOYJwmpktdf/aZaVNtYtNuMc5de/PZ2MCqO6aSaJvymErr5YPLGOvNjQytLlhfjKuBh13CTdjcdu+8lAO6+ZSHwp3GKqwomKmCApLO6OWYxq2cZkdaWdxS2Clq2rc1cIK+ONryqJIl1cvU0iy+P9lw3JC9x2Ge1xoJghqyp1z9wcw51TKepf5OmXagdHS15UI5coqZtK6usWU3MQE4VjxaFwx0u+m29EtenitdIgKhwfWjVtYHV12VyWSrdAHVmhok2c4ahincrW1GeLC9KXrStgHpjKtcpP5KMC83H9PJsUs48tnVNGMRUoxgKSWnWjQYa8zpDTebKeIX8kEk5JWyeki0YxUlaUXMgiHorxQJPzfLIqT/dob9JX52VVWZQvG8VUXN/YQjYKqfHJudjHUXes0FYK2tezAPs11ysdaRJV7021qSwuxP1SM8xs0gt5VXXv0tvUNJ9JqsV9KVnF0aJHITw+74vpc2G5a4ZrrrmGL3zhC3z961+nr68viZEbGBigq6uLgYEBdu7cyXXXXcfatWvp7+/nLW95Czt27ODZz342ABdffDFnnnkmr3/96/nQhz7EgQMHeO9738s111yTeEv86Z/+aSK+3vzmN/Pd736XL3/5y3zzm99sqp+vec1r2L9/fyIezzzzTO69915OPvlkAMbGxnjPe94z/+LuYx/7GK961avI5xvXwxgcHJwXX9I//MM/5PDhw1x//fUcOHCAc845h29/+9vTghmbxWKxNqRoDGNln1y0+hE/3E0yCOjoIeUeWJOBjoqGwmTgBF1o3MO1GNrkoQFRnKxyq2g5zz2os1qR0RDgkVGWye/vJz9Ltm29Zy8cPgKBwTztDOjpbulcJ27dz2OTWzlSKDOmxyjbIr6XQ6sMvsrjqSzWBpQpJkHljjhrWIg1IUY7t8paY4FGoZTGUxnytpdQFSPX7zLGlMGGldp16YuTPF5czJ97O8TY6m3rPW7mWuDFpySiUVhI4jCKTtq3wmqv/9MsK2msWwoUzTi7J3JkIk+WeFIfRkIjFl+hTXu+QN5zwsSLrQyRqClHY/BUUJn0ZaMkhH4kbjIpcVc2KlmADQxMhRURBZD3FZmoXWUO4LYphiQTeqj2mtOoOLM9iorACmylTZy/ZDKMo9EV5Th0KtpPkjfDgolCInR0LsVQ4WuVjFFFUxGB6Zwx8XVTUbuSB75WeNG+wtQidCF13TSQ9eLF6Oi40fHijPwm+l7i9rHwymk3r/EjARd7B8XHClLfp077AlJpG3+3JQOlEEo2+l6j61AOXa4RP1oMVlXiOv5duOsyFVSuu8L1NaPc9dNKV87FVvKXxP8upxbmvehaeJrIHhd9rziP4ITkN+MspvHvpyZdQV3qbTJTIfNG1Bs/ZhsX0houtDBcgnI4VfGaWuZ86lOfAuCCCy6oev+WW25JFhg/9rGPobXm8ssvr1rEjPE8j2984xtcffXV7Nixg56eHq644go+8IEPJNts376db37zm7ztbW/jE5/4BCeccAL/8A//0NQYB0zzSJkrDxVlF9rXZREZHR1lYGCAs88+D89zNdi6cydwVuYFvGCTG3RqXZ0tbkXNWDeQBNY9oIPkAWQpG0NoLIGFkgmSvCxxzJqHu/HznoevFL6nyChFj6/wPVibhVd/6dyG/daP7OZz7xrm3mMlxk2RP9qW53n/5Si8rn5Nu3r84+X38PXhXxKYAgGuIEuvt5Fe1tBluvHxOK6PUVIFBsw6jqkDTJpjFINRiuVhrA1cfB0Zsn6vi72LHk2hLaPQZPwe+r0hsjZPoMoEtsihqd9SDo65a0HNImGN1c4lYtFOPBLH5jUoph79fz7E3VzvV1iZhGHIL395NyMjI037/9fyjne8g12fv4M/3fZf2u7HZ/feQf9LnsanP/3pttofPnyYjRs3cscddyT1fzZs2MAXvvAF/uAP/gCABx54gDPOOCNJEf3//t//4yUveQn79u1LBMfNN9/Mu971Lg4fPkw2m+Vd73oX3/zmN/n1r3+dHOvVr341w8PD02oQCXNH7Ti3VMhnN/LM/KV4SiVjh1tghaINCa3BYAgTbw0XM5VXPr6ujDeBNcmrTEBJuQQZGk3e5sgpj6z2yWhFztOJ/0fZGAJjKRpD2RrGmSQkTBYzsyZHjix57ZPXGqUU1lpCoBSGxMuTQbRQGWIIo0xpnvXw0HSpTNLObVOZrLnxjmQfBVXEpGwRWZvFo3KesQjUSuErjUa5/NTWMM4UAUElu6f18K2Ph0cWH60UHoqM9hLxY4DJMKBoyxRVkUAF0XVTaOvRY7vxlSarPDyt8CN1Yq2lZCwlG1K2ISXKFHQBg0GjydkcOZslr3wy2iOjK+3S185YS4mAkBCj3Hft4ZG1GTLKp9vzk+/KWEtgDGE0EqffDzEE0aKzQuHjkdd+1fWJce6plWtXMAFlAgwGqyye9fDx8JVHvNTsksK5ax5jsUyFAUXKBMr95uLz96xHxmbwiPcVuUhG18BQCTOxUY7x9H6bQVGt+HQdWZjeptF+62VxcH0yTOpJHp38AWEwWrXVXIxzUHku/cu576Dbay9GeDIs8kf3fKTjviwltNYcOHAgsdz19fXxy1/+MrHcHTx4kC1bthCGMyQirMP8F7VYgoyNjUXiThOURjiWGedYXjlzemq7yHZE2USmeAOBtW5lyFhc8iVD2dposLGUbBDdKhWcTcojqzwyWuMrja8UhYwTeYetRT/8IObUU+t3ePdj/HSvx09L36VQPsZTM6/l/N2jZDHYz3wT9eaXznrOO//lKXzm9/6Pc8HUGTJeF72sYdAO0Of7ZLQmW15PTvvgwTFzIGmb8XoolY9hjItlD00RlarhEIalJEFKqMtu4DEFAlvE9/KEphsTTjSxkmRxlsLIOmhtJP7CplczOrXmiaibP8IwZHJycrG7MWe0+rBthKXz310Yhm3V/oHVV/9ntRCPc0uFgq95MHgEhUZHHhsmKqlTcjn5CXHjp7WhW/BD00U/vV29ZD0XOhAQYlSA0aGTgtaJFKU8Jm2OLDkyJks2zJAP/GTSW7QhASFlVaakShTUOMYGLgwAhe/l8G2OrM3SE3QnE+gQQyma1FssoQ5x0iTAROJOWYVHlqLNo+P4J2Uj8Vh9d4fK9b+kClWT8IzNRddFR/+pKKZd4Vkv6ktIoAIKajzxPALQ2sezPh4+Phl8m0FbTSb0o+vsBMa4HifQRQJbxBBdN1ysfMmWyNgMGZMhY3x8vKRdQRUpqRJlVSBQZcq2ksk7o/NkouueDXPkwmwipgyGkioTEBDqkDIFQhUk35lWcb+z9Aa9iaA1uGsXX8dYgBgdElAmTPquI1HfXbVgEKNQeMZLxNyUniKkhFUWQ4hn/Wgf7ny19dwejXZ1GePvjJBJPUlIiUCVCW2xIpQU+CqDVj4aD99mmCoUKAcBoYrmg0k6diLJXxFatklnw3T28VpxV1Vyqg7xMWNqRZ7FUDKTjEwcTdUtjs59jsa5yrHajzFfqfHl88GqFHePPLILIjfCrtwUmfxpbD7qMt/E/u+15XGShEYqdv1wLhwDvnMXyWjIKEuX5/zbM8ria8hrV+cl9l/Xkb88QLnkfN5//7opzKlPB6aqjql27UJ9/17Gvj/C06dOITf2TA5OhuyZOMqPJn1+7w9/zUs+f5xP3H07235nHL2zschTk5MM5E/g6MSv8bweMl4Xm9U6Nvf4rMtBzoNtXYp7h332ToRo5X4ari6dQXvdhOFYJOQsynjJZ8ZMoXUXfdkhpswIheC4K3BuQ0JTcHXvdAZMOXlkVCxvFmXjB3KlBINNVt9mfvAlt3qSiKV9RNjNL1NTUzz00EOL3Y05ZI5+Mbb9uj9xL+655x4GUqVPYPbaP7A66/+sFuJxbqmgdY49uWOAE2KxMHFiLnrVPO8VGt/r4pRTttHX1xO11ZGbXPUkXimN1lk0LmOzp7NkVD7Z1k3IXdx3aEoEtlh1PK0yzvaisox5lRzW1jpBYSNBYqxxScIS21wkkFD4uhsvGjtDgmi7ynl5+ITWZZCOxZVLVuYEhlaVcTV9DdJYExDYYnLtFBqiaxL3Xykd7dN9//F5l8xklA07qGSsVhqlNBnV5bJdaydSNH50hgElMxG1CTDG9T/Gxez7aJXFUxmyqlpoBbbgxJgxTlRG17HyXWqU8hhT3SjlE59J/L05W53F2mD6tYu+exdakp7ORknecF5BkZ2VkplybVPWvfS1c32qXIOYdFtrgyhRXCzWTPI9KFwW8d2PPc7o6JgTpKacfJ/x7zz5LqfNdxqjalxaa38XtZ+nmWn/cR+MCSgHR+psO7czo9gttt22K5F///d/T8bvOHlW7PEyPDzc1j5XpbhLE4STHFSPcN+IM/HGZnQTrRVBvDrkbl1PaTJK4ynnx573NJnIpz2jIefpxN8/fs+L3D1rXQlja+A5nz/CCf81erNYRB04AN+6i8lfTvDoI2u579hJ/Mf+gF1mP4ftbnrG1nF895mc+M5f08safjPcz6EfdHH+zvrnqH/7AMVvPchGdQpH7H2Ri6Sm29cMZGFd1tDlGY6V/aqhNb0aZK1LLOwe8CVcaVHn2gqQ8XsohCOUwymCsOBcKqMHYSXebiZMfKBZ3mvA6vEuFoRpnHvuudx+++1V7zVjtVuN9X+ExcHakHI4WfNe9SJe7cRSKY2xAaVgjFIUSKUjr5FkcpuU6VF4NkQrD6OzBLZAoCoWJmOjjM2xUEhN0AG0CjDaJyTAGFNlXQxtORFycft0f5XSGFxR8VD5bu5gTRICEU/+w0jUukXRIBkXFQqjtFtUjeoxNRJ4FlPV91jsKqWxKiQkQEWWvooFzQma0JSi61DZf5zx2mqD1llC6wRW3I+QgCCcSkSVS7JWsZwZgkiYljA6S6jK6DinvzWJiLbWEJjitPNy4k5jPYtOHTs+5/hahgQY6847LS4VCqtDAuWl3vMq1q3o9xHaEqEpRosItua79whryj1p/JQ4tgRm0l2DSGDG35G7HpV9eTpDMRinFE4kCxaJEExb8FLisBVaEXWzke53WnQLC0vtYuaf/MmfVP1bNRPAWcPqFnfWEoRjHJl8kHtyx6O3qk3n4B4UyQoTHj45PDJ41idju/Ftxv0bn4zN4uPhRQ8pL3rI6MiP2x3DPdBjERn8ZgtvvPT/AFA2molyhodGN3Gg6PHEJOwZL3NX+H2OT+2mVDqM0lmm+o7T95sLefop6zlQUDw2meP8uMPGog4eQD2yl0P/eowHj6zlN6MnUlKPJ+fkqxx9Gc3ajGUoX2JL3zj3HR2MnEJqL1P0MFcus1ZSzkC5MGmt3Qr8ZOlolEClSJwMxbpiLNE1bfA1VFnvkpOYtV3lC1Ii7oRlS+z+3Ul7z/NajkFYrfV/hEXChpSDkWQyOt1CUPvvykgUhGOEkTtNaLzUZCf+W0fiqeSsX9qbNgmuOlIUz51GKR9lFRqfUBer+hiLCaV0ZcIeTezjviTH15ErZGRhS4cUeCoTuemF1dYjcJa2yHIXi6j0NnEoRFpcJZ9F1jutvMTrxvU7SPpJJIrcOVVFv6OUJrQZtClWxFZ0nsaGhGGRODqLeH9Ek06jkzlSUvs2de1DWxG4xkSiOLVwXjl+qcr6FV/H+Fom4tKE06+98au+h/gcEtEbnXtoipXrkfp+naCrtCdKDpf+zkNTTK6fmx/G+4nDRgwu12iGcjBOORivEnaV5HR1vJKasNxVvq56v+t2BV5NHxZgHiVumdUY08no35jVLe7ArSyFk0yVnbtI9QqLI3ZbiN0HfJ2NHmQZfOUyTnqRS4ev886VxLoHnId7QOj0zZcEOLsH3mNj3fzk8Fo0zppXNIonpjRHi5bDUwFHg0nKdsr1SWm0ymEwjAeW07Iu0ctI0RL+7dfJnLsZhicI9o0zuQd+cXAzu8Y9HhsPOGoei87HJS/xnVajaDSHJ7qTbFdx/9wqZ/xwSj2krHV18jBYq1HKxd25VbUS9TJjNn5kxGJaV7/XrLCL+iMIyxUXeN/BoNVi29Ve/0dYTKrd0mae1Kbc1yKrGxAtBKb9YBTggTJgoym2qYxfMfGk3e3P1V5NozVgNUY7a1baTTRt5UqLJbevqCfKecRgIhlkpwsREyVbiYVW1fGjM1bKVLWz1rj5hzGpUIjU4rPSWMJK+5RbZyxiK2ImviY1WQGi+rbx8d0ibkoQ1hUz1Fz7yPPHUCVAjClHxzaRN09qvFYmOb4xLjGbq7drsCauGueuQSwS0wLV7crVM9RJKaXQiXsbL6u79oZgmrhNfh/WpqYRThAmhmHcd+baxt9LnBsg/vLj7yN019GGKUtYfMzkilR+O3VnOI0XOdLHqk6yUuc+ShfkawKLbdCfuUXcMheGVS3u3A85JDQTFEqVG3E6XrLa6ASeH4k7H619tMq4f6NdzbeUS0F69aduH6zhN4GPt++EJOVuaC2j5SKTJmDcTjGij6FCTS4zgKez9GQ3skFtp8dXdHkupXPJWP5/39zKH+86ytGJPE9MDXGw4HPPsRL7Ociw2cvwxH86cep1k9f9BBaGy4qCyWJslnXZ0GXWsrj4hKiMgSVyAakZjJz1zmBtiTBeCU2tiLZ2H6YH/BaEnSAsc+bCctcKq73+j7A4WCzYcpuNUwt+Ki46F03ccYOWtbFAgzCJ50vHZvnEE/eK9aWCMTiRYCBQxdQEfLp7ZK07nhvzTSTeIqueCQlNmdjipWxa8ITU3rlOmBknMFNCwokqwNa4KsaWIhtG1j7XPjkrG7lvRsIMYq+hMPk78SbCizYJEytW3EdLEAm0lBCK+25VlPBMu2LcBFjrrnO0QZW1z80N0qI9ykqaHF+hItdaq01yvrFITfcpLRIVlRjO9D7ieLr42NXXNHUtahKSKDxsaKrmbcaWp59HMldJfZc2xNoyNoqLjL+L5M9k22bDTurMSdVM1fDACebadvNjIWoVEXcVtm/f3pbLZTOx5ata3CVYgyX18JqGe7i6FTIvCdUNY1cDgsS6F9ogEXpKaUJVZLZMRmP6KIdLG6L6MgpjLZO2TJESBT1FqAI8lSGju/B1lj5viDVmDV2+qkr88nhhgpFCjsenunh80uNwwbKfIwzbJ5gIjoAN0V4POb+XnO1KyjpMhjBRhl1jmlP63FUIo2Lmzrc/jpuLiFNZJ26m7mFWnYq31e/AJvtrtX1tkhZBWE7YDgY7aP1eW+31f4QlRpPfa/KcT8YKg0VH0QGx0LHR31A9gfdABSj8GrfEeFtN1Z2UiqeqQlVEUlViDFt9/Eq7lLjBibrELbV2vmGjZPwqbd1M7ytdXzbt2ldxc1WpWDe3f8s0IZM6p4p7ZYh1Vd2cOLVx32MRVStkKh43lesfYq2Xuv6VvlaOX+P6p2Lvn5AoZ6k7vlJgdWVfNt6HTX0vsXjxiINcgKp9OCuvrhHq9SyQ6SQvqjLfq7G41TuP9PWoWNkq/U6u9bTfHNN++zNZzqosddN+l7WznxaEnDxXF43PfvazbbU76aSTZt1GxF3sYpjyYa/NwgXOHdLdAyZxfVDoaLUvMv9bjVUmCa527o/p9LX1rXcFO8pRRlysnnFfSVEVKasSZYqElNEqQ9Zzvu19rKNf5+jLuEKoaYH3mYe7eNqgx4Epy3ApYMweZKp8jFL5OEr5ZLwe8nqALttDaCyTgaIcWoZLIfeFd7OreApbvEFCW4r89eMVxPh6RIlWUgXI41UsWyPQWvkOqv7fJvKIEoTZaUYk5fN5brrpJm666aaG22zbtm2a22UtF1xwAffcc0/LfRRWKG0842d2FzOAl3iRxO/Vn7z7oCrWoOn7qRZdFQEXu35SEU81PUwvLcbujJWkJdVCrJnMiOl+pC03boitjt2fNuSmE300FHY1bplV5xL/FVTapq111AgeKtYxpcKqPlaOGX0XNZauWBjG4R1x4hmX9M3tezqGamtWJCpjVGUfKENNJYoaYVi7X105D+rHbdY7j5oNov/Xc72sL+yacYecPi+tc8xlgMTcVXjBC14wb/sWcQdMr/pRwb2vUXGWI6Ujk3vFFQMbu2u6dCSJC2fKPTP+dy1KaaaCoxzKPOqSskTByGmfeWPLZFWXS+aicmwI17G2K8NA1nKkYOjyNFop+rwc94f3cdeBfZSDCawNMeGEO47OMNBzGmv0VtaZ9Qz4WQILU8WQsaDMUTXCeOkgx4L/5Le25FbwsInFTgFEYlXrHOkVKmOilT5lEgucgmhAmIFpq1bNIcXGhZVF+4MdyD0gLE/mJr6npkyADVLDSsUCFnua2Ggwixdnq3tQEU3ppBnxcdxibujGaAU2jp+Lt6gRfrHFq9p6WBGX8Tgf/1vrdPtK23SyDidSozg30iJKJe0rLqNRvdiqhB9J56Jm1XFbNv23rVjtqqxT06xGJOI6sfhN+2rrWbDc31FetmiR2KuyXKppFqjKorLrSsXyWHVqSdygQlelO4gtox6kv98q66jCWh39nbbOVovC+mI3/rBW2LUv6uoxo9Brcz8LRSeeKstIwy46Iu6aJC506mrSQGUFLrppo1g1l7ixskKXFnpVSVpSrhShDijbSQwZgmi1KJ2G2R3NDS4ZmyOjNH70wBopBXjZDBrIak2f3UDol5jCpxSMg+fq92T9PjboU9hgB+nLZsh7mrKxFIxh0pYp6Mmon+7BZm1Qddsr5UOUCUurXNJ3J2bjtNDRdWjCJaB6rbM5VtaajSA4LB26Za7gAW8+6v8Ii8e8TSZrRErF0lRxH8TaaLNYKKmqkInqxde0MIuSnEDN9n7VYdMWtUrtvrQgCHELOfH4H9VzSx23tsZdtYWpYl2sHE9P20dFnMauktVulfWvWeUYleQr6XZNxIel3GUbfl5DRZhEFtjICqeUicSpapCvwG2rVBxPlxI7KnYPjd1wa48bCbcZzyO+dvGxGtF4rjOj+JtD0uU0Wtl+sUjbsttpKzSHiLsWSAQeUHnQxu4OFZcCqIi3iuti5e+Y+KEVhFMU1HCSmEVRnYY3ttilW5eN5eAUPNK3i0xwGv0Zj4Gsx/biEKNmHWOZCaay4wB02V4G6OXJfXn6M67geiGEB0ZCjppxjuuDTIRHCUwhWumrrOAp5QYgz+tzxUqjgqVxrRdrA6yJf0ZRvi4bFZhVxsVHUN+6UCvw6lnkRNAJq4HO3E1W7l0yH/V/hJVCnUl/nUzNQDRZN5F1KHbP9KpS4ENFGLnMz5XkH85t0HcWJrxI2KnEAhiTZHQ0UU29mgQiLjlbvCiqk30kx0/cKYOK5Sw6J2d9rLgwTjv1RJTFNWad9a7apbKxCKjU7ouFbWoaPuMKUsp9smq72ji0OsdMFs0rBeGdqIoXjV0xc9VgqlrPzdS9VdmHItvAFbfSYJrgiV0vVbRqX3NO035jzTyHWoiva4fFFm3C0kLEXTtEJQnSiVbSIs8lXokfiu5/SsWJimMqljxjA0IbJJY+HdXCievqaQw2es9Gtjxj4dGxgNE1T1DOnIKnPHIe9Gc9Vzw90BRNNxpFj59hIOOxucvS57t+jpQ9imHAuBphwhylGIxibcn1KVmtjFYWdQ7Py+HrnKvDo+J0zyb1vPJIByXH5xhfl9pHZHIpqT81rfuoTD9AV7K5QhCEeav/I6xAapNb1CwqqigZR3VCkululBV3zErSDIuNPHKCxFKkMFDrhpkKpYgtf9MFQCXpSGwFTC8Ku35Uu2PGk/aKC2Mcc+ZXtan0o1JovF58X1pQkbI2VkhZ65oeZ2uTw9QK6+YEXoUQm8waVOItVfdYNf2sLMK7uLmKe2Wd9g1jCZ21t3K9a8+t5tq0m29gFWKtot3SPx2VDFpliLhrkWr3zIrAg4rIq3pGxTXjbG0gd8Vl05iAIJyqJGZRJbyo3EJsuQMIVRmrQg6po1Bcx48L/4unmrMB6M0oun3wtSKjPXKR22VGK3oyisEsbO8psL5riqnApxh43HM0y1h4mNGp3VgTVMfYKYVSWbTO4es8+cwgPhmU8gltGaU1NjQYyqR98yunHVvvZi8w3pSLZp0Hp8g7YSXQSQwCyH0grFai8Iday0qDWG8njuLkYMqN34mBRpOuYebGwzAlEp0YMwbiIC5twCqLVhWLmzHlyOoXRoulqQVPG4doxJ4+OnE7tMnicGx1K9VYs+Jz0FEGSItbTPVqBk/jyhbEFsx0OvxkDNU1gqr2GNUuqWnqjtOzxM6rxM2xMZbU4neSkIQk/k2pStkGt0mtiE8JtKrvP67PF1toY9fPtHBulL0yrGTtJDWnqTmGy0dQ8eiyVb/JZiyfqwtxy1wYRNzNIZUYu0qK3nTcXSVVr67ZPrXyFteZi7bTVqOUIbA6qmQDI+oww+og/fknMZjbxsl9WQacFycTFgJbnZ/LWJdRU2Hp6ymwvjvgsSfWcP4GzYbxZ/J9Pci+8Z9gTaUGkYpcT7Ryrpg+GTyVjQbBAFSWrO+hQ49yMMb0mir1aWTBa4e53JcgLBYWibmrZT7r/wgriRqLzIxJvOLSCVEmxCSOriLs4kyMNlZ9KWJxSCQA4yMnE04bx4nFNV9re1IJWUhnY6xY11LZLeu5Cqb7kQgWN1OAWPCEVLmmVjWMrUvVojh206wVSDPRctjErJatahGULPjGwtDGlrzq77rS78ZxfhYTCeo4IU26faNEJzXHT66XST6f+VyadWldfUidu4VBxN2szOSrXbHexdumBVvaVTOmymUToqeEITSkLHU6+TsuqeD2WyRURQJdRKPp8frRKB4cLbAum2V9XrN7rETJhEnUnMbVzstP+ZzYneHQExs5UvQ4UoRHx4oMMwEa1nSdxrGJ31YeaspLhJ2nMvg6T2BLhKZEaIpRFk8Xd+fpbkIziTVF0iUSUicNNlp5a/Cgm+2eVXXayX0urAwkW2Yt81n/R1gBVLk6VibRje4FSzyGxNYYG5UxUpHQU4k4iuPOpx1POXFoTJlGBbvTsXr1elOxHiqglBy7cpjInXK2uzruK9UZO+tao+qSduOst+/p1HtCNeN1Uy2UZvfkmXYsG5ergkrR8fqulPX3HYXPpM60blxmo+PXHkfEmrAMEHE3p1SyZAI1Ii/yr6/5LO1vX2u9i/+upAXWyWGscoU6DSHjTOKVIKtz7FVPoLTCw0dHX68hwFhDITyBAwXN8RIMFwOOqGHGOMZUOEIxGKk6EzfgqFQGsDiwPCQ0ZQwB1oQuqQohSvlYilUrXY5I/CovcmuojctrD3m8CisFccucznzW/xGWN1WCop2JdjJGpQpo25S73izJQ6oTswRJso84O2Wz/arUhUvH7tURlvXapt0qVa3w6MBiNEMCtMWltuZdzTk2KRphFkvfrI1bvDIiBKdhaf/3JVezeUTcQRMuAzO1ja139XY73YqXFnlV7po2iFweK58pXEyAQjuNZMFQRusAT/mUjaZoxjmin2BUdXG02Mfjkz/D13l8rwtf50BpjCkRmCI/OLSFsXCKCTXJhB5hNNxHKZwgCAuEpkBc/kBV9dNiCCnZSUJTJDRlAjOVZANL+/ijPKwNUz72OnL5iAPH27815aYWBEEQoL5b4GxjRK0odAurNrKihdQ4WTYUDC5+PnahdPFgjjr15Bp2pmJ5qxy7NZLxtF0BMUfCI31dZ91jjetjTHOzr+nWsyqr4Cxta+P6WnYtjQ+d+rs63i690WyLBOkYvtWFc8tsb74tbpnNI+JuzqnODFUt8KDWilddn8ZEz4nqmLy4Zg6QWPJCXCYsY8uUzAShKhGoAiacpGydRS30Smj8xMp2xIwxoccoMEopnKgRdqXKY6YqK6XBqCCKIzBUUjXHsQdByse/DnUyXEqsnCBU6GAdOWkvCKuRVn/71W6EcQwe1e6dTe2nkrkyzqJZn+qwjek7qo6Dm7l9LaZmu/ljSeUorHG/bcY1tLb9vCOZMxsilruFQcRdG1TXu8NZ7yBlwat+mNd304Q44Yr7MA7sNnUXDNNxenEGrdAGzpJmi+5oysPYAGUs1pYITRYd1csD2M/DlMMJyuEUxpQphxPOWpeqxaOifquovouxIYQhU+YYGa+nJhtYLOzCaQ/cSmcr76oqr3dBECAa7DpJ8SzpoQWhaRKLTRJHB1hN3fpvda13qaQaUc05t0kjIZYuUp6Kr0tZ3uIaduntKiPqLMKtiWyUybnUNk1/PPseqrZtVmA1s99ZBdpcCbIZE+50wkwiXBAWHhF388rM9V1qiePv0ha8tPWukmjF1ZrT0b5jy1yQzpFpXXybIY6f0xSCYQJTTAk0J85mCix24tNirIni6kxF2MXB2y35uguCkEYsd4KwSDQMyUhN1mfL8mhVXcvfTG531XFfrVnd6u53HuuszSTa6gm8+X4etb//Np6yndTWbSEOcDUh2TIXBhF3s1JfoE2z3sGM8XdQz0WzeRJhhybj5fF1Nz2ZNfg6R7k8QTkYcVm80v2LavrE1sGJwkQiDtPpmqt8z5Vyg4e1oIKo3xZrihTDMZTKRgeo1NGZ6X6bLSuVIAiSUEUQFpqqeK0oE2b1mN7AGlNbIiHO5JjOFK1MxSI3K7XuoRqUQTVzY9cW0oaKIInFRZOiL209q9uiiRCLll0k56htQ2rOvaVnZcu1desUSReBNw2pc7cwzK+j9gqnOUtU9c+xUtMGaouHzkYszLTKkNf9nGyfRt4bSIRdtBFEQnDaw9iGzmoXFmr6kabiOurSMlvSGcCMKVKpaddgH1UPxeqUy534WwuCIAjCXDH7WNQgWdqsbXVDUVWVCCWZ+NcZS+u1byA4GvalRWte0/tpx0qoVFW7RqUVZqIjcTabyIr7V9PP1pFp9UzEP/t2X0JziOWuKVpwr5wWfze9fSsWvLjendY+Co2nfHyVA+CwPgij90fbKVd4XPso5VOJ9wtxWblcsdOkXlzK4pY8xqJyBSQ1fyoFPy1uBVBZi7HTyxlU9lGnzp3ckYLQkE4XPOTuEoRqms7eGOMKoSUeOdWFvetnWYz3r6hY/aoTq3hRArSUgKsn5upa12ILYL2Tq+8JUx1L2GB/tceuwzQLWrKvmn00yibasH3q3zPMCabNS2reb9Sm4TFnKO8wPdtlvXlZ8/aiiqVWBJ6wuIi465C67plQx0Wztfi7etvGsXaxMDTKuK0iYecKj+cBlSqzoEkKJEfFQJPkKdXV1WuO1nzRzhmFnSAIM+Lq3LW/UixrJ4JQn2ZiwCrCIKpTmxrTW0pXHwlER6V2nVJR4W2rqfXWSbuGVtw7DUp51GLbutE7HI/rCruaTZifBaa0YGt5/4twrZpzwa2wWnMQWBSmTQdc22a71YiIu6ZpHPwc36StxuA5KqURYmJhlljtlI9WGbz4/2TwyeHbXJQwJYvWGRQZfD+fFC+3GEJTxBjl+qGJHnomJfSmHxdi99E6qZaVqhaFANFAFFv93Opm6jizXAFBWO3IPSII80Nr4qMi8KbRxFjmCpNHwjDxgHEF0oG642K1uEzPBaqLmyf7S43hM3Sk8wQrMwq7yJrZrPWuTVp5LjY6ZqN9VFvtojlXvWymMPN3X2P1ba6vq/eJ34l7pSxkNo+Iu5Zp1QJXn2ZdMxXVQs+JvQyeypAhS1GpyCXTR2sPT2XRkdgKTTlKxGKjh5OHUqFbQZw1YDs1eFQ9AGtcFFRlhTMdDD6TK4QgCBUsklBFEBYTS9qdscUxviohS/rt2juz4tpZ9/hEAsFG/1fVC7/1CqS3fu837kNb+4loSUBXlUea2+dXR9a+ujTrwjrDooBQhSRUWRhWvbhrZbWl833NPGio1GdpMReXPdAqg1bOapez3eRslhLOFVNrH0/n8HQGpXzCsEDG64oOWySwZapdQiouImnLY8UdRKeWwVJF1F3navpdEXZudTF2HTVgy0097qoGxSa2FwRBEIR6tG05ShY0zbT3ZxyX4lpzNoxcxyoWPJu2tM2UXbpKJJpoHA2n7WPGurItnGNLMWxVNCcQ0y6nC0lLR6v5vm292MRZrnVlYSDt3TWTkJcZjjD/LJsAqb/6q7/iOc95Dt3d3QwODs79AVp6ALWwftAwK2XzVOrbxSLPc+9ZHblEqiiJCgRhkTAsYGxIYIpYDJ7OofCi7JdRXbukEGv1ebsSCSFUvWqLtje2q1cGoTBxDZltkE2vtMljT1htxOvx7b7knllZzPtYJ9Sl4/soDkeIxsBKtul4/7OLoWqXy/Q+TGX/s/S18WctliSqm8mzsWhpR0wv5rOr6tiNrksn10uEXV3iOnftvoTmWDbirlQq8apXvYqrr756/g7SkjNwfeOyxU6/gW2dh2MTTLPkoatcOa1yhcWV0skxDAFlUyA0RcrhBEFYoBxOuu1tEL2cJa7i/+9EnHs/qP+iTrFzG7t7urZV+4kzdDabjIU2V1oFYbljK4+etlJDy4C3oliQsW4VYFOvVtq4P6pvsubFlJk2HsZjovusieOnRWLNmJosmjZ1MrXLRo363AypfbQgeBptuVQeW9MFXup6tRBaUvd3U/V5nXnhKsV2+BKaY9m4Zb7//e8H4LOf/ez8H2wugpGn7bOZ5CoVZovHsxhMyvXD2BCsE3k2WfFz6/o2zo6pfKwpTnc5IXItqPNAS65CnQdd1WcqvSplGraZ+ZwEYfXRSfawuL2wcljQsU6YhhsL22yTmjvEYRrpJCrNU6+o+iJQOxdq5LHTyi4769GcUzXXmSbKWttP/YQuS+2MF5dOLHBiuWueZSPu2qFYLFIsFpN/j46ONt+4aYFXP4tmwwyaSRudSqoSun9jEmtdvYQrsUgzNiSkTFEVk/2ARaksoXFulTZafbJRTTqbElpJtstUpqskHXPtZZjhzKuFXv1VvZnay5RUEAShMzoa54RZaWVxsiLwTPIe8Xut7icSeER/t2pJmja+dpKicIbadCtlvl17zdo5r/Q+RNQJi8mycctshxtvvJGBgYHktXXr1tZ2MF9xeHUPNUtWpuhzG1nmAlUmJCBxAyHAmHLyedpfvyoOjvYGnCZOoGp/zZjQ5dEnCNG90olr5mKfgLCodDzOCQ1p+95qkBGz9fbt5RaUhdP2mAv3P9densqN6Gisk8vaNIsq7t797ne7NP4zvB544IG29/+e97yHkZGR5LV3797WdzKnAqi12DtbZxuTiDmDoZy8a21AaEqVttZCEicXZdeKrHjzgU39v1VXBrlfhdVMtPQiCVVWMPM51s3JOLcMWGjBMmf31VKZkaY8kVq+lkvlHIRlTydjXavLHHfeeScvfelL2bJlC0opvva1r1V9/sY3vnHac/jSSy+t2ubYsWO87nWvo7+/n8HBQXbu3Mn4+HjVNr/61a943vOeRz6fZ+vWrXzoQx9qsadzz6K6Zb797W/njW9844zbnHzyyW3vP5fLkcvl2m6fkHZjnJHppQ6muWfWxN6l3S+tNanCL+59aw1WuQQoxrq6dYF1LjhFMnQlbpchxkzge33OLdNGVr1EUDYZzN0Bna52CcKqpIMYBJB513JgPse6ORvnljDx+NlJXbTa0bt2P3NejqfGk6Wt9nXmHHNdG26hWe79FzpjIWPuJiYmOPvss3nzm9/MK1/5yrrbXHrppdxyyy3Jv2ufpa973evYv38/t956K+VymTe96U1cddVVfOELXwCcG/zFF1/MRRddxM0338x9993Hm9/8ZgYHB7nqqqta6/AcsqjibsOGDWzYsGExu9AaTYm8+rXsqmrgJQIvHXsH6YKl7nAVgWcwqEjoGQwhQWLZs4m92hCaCZTKTu9TaqARlw1BWDqI9Xrls+zGuiVEbdz6XBWpXnbj4Axxb23tjrl57swmmufz2IIwE5dddhmXXXbZjNvkcjmGhobqfvbb3/6Wb3/72/zsZz/jGc94BgCf/OQnedGLXsRHPvIRtmzZwuc//3lKpRKf+cxnyGazPPWpT+Xee+/lox/96KKKu2UTc7dnzx7uvfde9uzZQxiG3Hvvvdx7773TzKMLwqwP2CYMyCmLWoU45XEcM2cwUekCY8qENsDYMoEtEtgCZTtJXLcuqX9jA4yZJC554NIo2yTQV4EbJOKXIAiCsGRYUmPdEkbVea14onF7pvOter92rlIz7te7hgt1LVfddycA1XGN7bzAWcvSr3RCqVb53ve+x8aNGzn99NO5+uqrOXr0aPLZXXfdxeDgYCLsAC666CK01vzkJz9Jtnn+859PNlsxqlxyySU8+OCDHD9+vO1+dcqyyZZ5/fXX87nPfS7597nnngvA7bffzgUXXLDwHWrDildlvavZznlgVNwzLSZZqLMqLm9gMCbAqhCLxtTLUJn0Ky56mqKqr5HlcI5XAwVBaA1Lh26Zc9YTYSmw5Ma6pUQTafkXi5lmAq1YqloROk1tW8+9cx6vY+25xgvLggBz45ZZmzTqhhtu4H3ve1/L+7v00kt55Stfyfbt29m1axd/8Rd/wWWXwkEuYAAALY9JREFUXcZdd92F53kcOHCAjRs3VrXxfZ+1a9dy4MABAA4cOMD27durttm0aVPy2Zo1a1ru11ywbMTdZz/72Xmr+9NYdDXTeDaRV10qoSoGL7beqXT5g7hPGqJnsjGBK5EQ6UQdxdwFtlQVU1evX4mlrk7NHJvabmkNk4KwuuhkfrXE5rhCh8znWLeiSAbLxb8Bmpk9dO5OmnK0Sg44cwmi6lq08b9qHLZUaj+pfdnaTZqk3vlN64+warEo2q3NGrfbu3cv/f39yfvtxhy/+tWvTv5++tOfzllnncUpp5zC9773PV74whe2tc+lwrJxy1zyNOWqmdo8/Qi0FTfO2pIHNvrM4qx2xqbLHcT7rd13irSwU170mttHrLhVCEL7LHS2zNWcQUxYvTR7n8y3VJxtvKw6/qzzimgKlxrTa61mze1r5qmgxAULS4n+/v6q11wllDr55JNZv349Dz/8MABDQ0McOnSoapsgCDh27FgSpzc0NMTBgwerton/3SiWbyEQcTeXzFqIo1qI2eg/94/KdM3Fy5WxtoyxgXuZEmH0CqKSB716PZ7XM+2YyWNeKZTy3Uv7aJ1BKR/QDQeDThCBJwitY23FVaWdV6v3b5xB7Kabbmq4zaWXXsr+/fuT1//6X/+r6vPXve513H///dx666184xvf4M4776wKHo8ziG3bto27776bD3/4w7zvfe/j7//+71vsrbDaqV4Ibfxrb+Y+mE2ktDsWttOu6fGyquZd3LbyXz2BV9u36v6Zqn3UP1aDrkzbV2vMFkvVChKvtzyJwxAWYqxrlccff5yjR4+yefNmAHbs2MHw8DB33313ss13v/tdjDGcf/75yTZ33nkn5XI52ebWW2/l9NNPXzSXTFhGbpnLijZcNWdy07QWDAFa+c56p8sE4RQlO86m/FbGCnsxYQFLWOdYOhJ4kQVPgVIeTkR6LiGLDaK6eB2ccketBUFYKFZzBjFheTLXRaHrxYF1eoRFjy1rQpipBuUV6m3bVhfabCesHhayFML4+HhihQPYvXs39957L2vXrmXt2rW8//3v5/LLL2doaIhdu3bxzne+k1NPPZVLLrkEgDPOOINLL72UK6+8kptvvplyucy1117Lq1/9arZs2QLAa1/7Wt7//vezc+dO3vWud/HrX/+aT3ziE3zsYx9r7yTnCLHczSexJa/hQzfljpn6D2sgqVNXseKFZorQFCiVR5ksHebwxAOMF/a7mnaReEuOlIi5yLUKHxWVWojr4FkTJG6gapYHftNuJIIgtMxMK9qzvQDCMJQMYsLqYFYPmSZ3w/T7aKnsc1r7VLmjmTJxN39MU+05FB+jyX3UO7+FnAeItW750slY1+pv7Oc//znnnntukpTquuuu49xzz+X666/H8zx+9atf8fu///s8+clPZufOnZx33nl8//vfr3Lz/PznP89TnvIUXvjCF/KiF72I5z73uVUeKAMDA3znO99h9+7dnHfeebz97W/n+uuvX/RFTLHcLRQzWvMaZNVMLHnVzU30Kw9NEWMLTqQlkTuVFUTnclFdO68S21dzm8wwWKrU/0XICcLcEruptN3ewj333MPAwEDV+5JBTFhJ1LWMLYFkKvPJvFgDm7TetbTLOd3bwpG+Cu2eg8yLli4XXHDBjF5p//7v/z7rPtauXZsULG/EWWedxfe///2W+zefiLiLSK9gtZ05s6kD1fzQkodsvaQokeCzIRCiUNVVD4zGmDJxkfL4o3q9r9TOs87Sl9TGM00JO0EQ5ge3VtP+nWZx6fJvv/32qvclg5iw0qgSO6lxa9VMriNh1m6G78ZicZa6vDPsbzlS7xq0I9Jk4bt1FtItczUj4q4OVeUK5v1gqV/rtNW09ANXT4s7SIuzxr/5EGs9lDLJvyvHTSd3EQRhUehgsIua43leVWrouSSdQeyFL3zhss4gJghLiWZEwaLH8glNIQKvOaa5A7fYVmgOibmbAdvgv/k7oG38apQIvaGwi5OyOEuds/DFTK9p07BLNf+WQUYQVhcrKYOYsPJYqtO95ThWtmO5Wujz7PR46WziySv1WSf7X47f+ULTSWZosdw1j4i7NlgQoTftoGmhl3qvhkrR8pjaEgtx0HTzLi1zGXAuCEI1ccxd2+mhW7w5x8fHuffee7n33nuBSgaxPXv2MD4+zp//+Z/z4x//mEcffZTbbruNl73sZQ0ziP30pz/lhz/8Yd0MYtlslp07d3L//ffzpS99iU984hNcd911c3jlBGHpMatAqBEUzeyvqu0SYS560raYqhFmHfel5rq2UpS+2fcFYSERt8wO6UTgdez2GT/cZprdpcScNWVQXuW4M7pz1tlV+z0VBKEBC7148vOf/5wLL7ww+XcsuK644go+9alP8atf/YrPfe5zDA8Ps2XLFi6++GL+8i//cloGsWuvvZYXvvCFaK25/PLL+Zu/+Zvk8ziD2DXXXMN5553H+vXrl0QGMWH5s5THoVlH9DkUZ5XRu/l4udni7Zp1LazdT6suie22r9v/aA7UzD6qrHZVtg0zbS7VdLIVVZlPVdq6/8SNcDqdjHdyNZtHxN0iMtONP7vw01FpAw1169tVsm5WWelstO0SWgEUhNVMXMS87fYtbr+aM4gJwnwyY3xcG2NufatdHYertrKGVmfp7pSOBNpCUvd70HQskusstIvAm44kVFkYRNwtN2pWnBKxRj2XzFTSlar3WPEppAVBEAShVeIRdE5GyLlaRJ0WapESIx2N5a1nyay2flHVh9kEXt228VuzeBJNb5sSplHCuNn2MX2flX5YdLIf90bs9TTTDtTM/0YEXi2dlKmUaWvziLhbTlQF/s42aLSX2lgQhIVHBn9BWHxUg79j5voubX9/08f3hXiCNBRns4WHtLD/jvaiVEsCb3pJidktePWvQSw0Zd4lLA1E3C0hZhRsqdUqhQKl3Stpy/QHboOEK82sjslUUxAWhjihStvt5WYVVjlzVYy6mW06Kl3Qbm2+GW7yZvdT1acG+2vKctYmM1ntkvebiZ1LirDHQkpTK8rq/R6mH9VZQKdLwcb7quprXaK2EvbSkDjFX7ttheYQcbdEaFbYVaOjtrXvTa9f10n2J0EQ5pdO9JloO2E102lyj3klFlFzZNmq2nUL2zYztje9v0USLlWiORF4UHFTTQmrBolRkraQEoi18yqREPOJxNwtDCLuFpnmRB1UhFxktUOjlK7ZNrLq4UWZNGMf9HDWgaU2cFu1u8IoCEJLLHRCFUFYKcyUjr7V+2JGi1un+2omfquFfc8FbYnDOpkh22rfxPb1jjBN4CUNagRZM2I6+TxsXbDW7rv2+OJO0ZgOYu5ksGseqXO3iDQv7Gq3j4Wd17h9FLXqXA50aw8vEXaCIAjCEmfpxMAtDO30b0l55KTr9baZWWNevqN5FGMSTy0sBmK5WyRaq3GnK9ur2fV49cOkOReD2pVGeRwJwsJg6XBuITersIpJ//znQsjMZMFr5VZL72ep3aIduXTOtRCqcpOcQ+pY72p7Ps262m4f5tH9dqUhMXcLg4i7BaYpUVc3CxOJsIutdqqO0LO1Ne9mebjVQx5NgrBwTC9W0np7QRDm915oZ9+d9Kd2prAYLp1zIeyalkst7Luu22sbwmxaToJOhdm0+ZY8nWuRUggLg4i7BaQjYdfgvRn32KJ7pdw3grA4SMydICxdlus9tqRcMheZhf4ORdjVRyx3C4OIu6VEA2FXSaISU4m1S1awrK0E9UrMnCAsGzpZyQS5xwVhrpmLe2quXTIXOgtoK8JwScQ+duBW2TCreJ1C7c3tT57KwuIi4m6BmNVq19RDaZZ4u058xgVBEARB6JjlPgovprBb7sj1mBlrLbbN1cx2261GRNwtAK0lT5m5raqKu3PMdUC5IAgLh8TcCcLKoN74247FbS5LPHR03CYsV033qYUyCrPts6nC4jXH6bgAfRPJUuRZPDtS525hEHG30pCVDUFYdki2TEGYnYXIPtmugFqohdX5Eniz9n8GcdOoTzOKsDYfeg37GXsuzeccaIa+y2O4OSztXyu5xs0j4m6e6cRqt5j7FgRhYRDLnSDMjmrwdy3N3A+zjZzNCqhmR+C5FmTtityWZgz1QjxaEHhNicWYJgXZrPucA2FXZb1rFOpScx3kGdw8YrlbGKSI+QojvSoi94EgCIIgzA/zNcY2u9/ZxE5H/etAKC33ZeeqM693HcRDSljiLAtx9+ijj7Jz5062b99OV1cXp5xyCjfccAOlUmmxuzbv1BYkt7b5ouSCICx94gDztl9yt68YVvNY1zRKTX+1yHK4Y2zNqxHNCLxm9lO/sZ3+mqUvM7pNNtp/nf621M1ZXtDePqf1M9Xftq/pKie23LX7EppjWbhlPvDAAxhj+PSnP82pp57Kr3/9a6688komJib4yEc+stjdWzTqFTEXBGH50VGdOxnwVgwy1rXJfMdazcCMSTjm+DjMwbHmaj/tHbyzhCQLHavV6FrJI7d9nCBu7wrKdW+eZSHuLr30Ui699NLk3yeffDIPPvggn/rUp5b8gGexzcXGTfPtji102u0jttgpgBDQKOUveO0bQRDmFln9FWKW81g33yQiaoaSP4t1Hy3kcWvj2hZa8MxVwpnl9MxbTn1d6kjM3cKwLMRdPUZGRli7du2M2xSLRYrFYvLv0dHR+e5WZ8w4aEUi0RosBueiGaC9PCYsNHz4LER2MUEQ2sd26G4i9/bKZraxbtmNcx3QUODNsdVuudxTi9FPyXQoCEufZenX9/DDD/PJT36SP/mTP5lxuxtvvJGBgYHktXXr1gXqYTUtmaCn+aAbYiuejf7DBlgzRRCMYkwZaC77V/olCIIgLG2aGeuWyji34DQZB9awOfUFh4gQQZg/6oVxtvISmmNRxd273/1ulFIzvh544IGqNk888QSXXnopr3rVq7jyyitn3P973vMeRkZGktfevXvn83RmpPOkB9NFnk0lUZffvCAsTyydBZjLgLf0mc+xbimNcwvBXP/cbYO/BUGYeywW0+ZLkoc1z6K6Zb797W/njW9844zbnHzyycnf+/bt48ILL+Q5z3kOf//3fz/r/nO5HLlcrtNuzhlNx9/B9Blb4oKSypZpQ7CNf+7JkTosGioIwvzSyaAld/XSZz7HuqU2zi0Ec53ERO4hoR3Sv0H5DTVHJxY4mcI2z6KKuw0bNrBhw4amtn3iiSe48MILOe+887jlllvQell6lLYm8Koayq9aEFYiseWuk/bC0mY1jnXzTa3Ak/tAWEhqZ3GS3E5YSiyLhCpPPPEEF1xwAdu2beMjH/kIhw8fTj4bGhpaxJ61R7xK35bIm7avZjaKtlrEdNGCIDSgU9dKuaVXDCttrJtvFqoMgSCkqfrNpeZV8lucnUqAUXttheZYFuLu1ltv5eGHH+bhhx/mhBNOqPrMLmOx0rYVr+0DLt9rJQiCsNJZqWPdfCJXZfHo1Fq1rC2vDTKbw9ws3K9UrLVtP8vkGdg8y8Lf441vfGPyg6h9LXdszX+t0ugRUu99qaclCEsPlxZJgsyFlT3WzSeSBXphSV/vdq59vTbtfn8L/b0rqBF22v27Ruyp1H9ChU6Sh7UavnDnnXfy0pe+lC1btqCU4mtf+1rV59Zarr/+ejZv3kxXVxcXXXQRDz30UNU2x44d43Wvex39/f0MDg6yc+dOxsfHq7b51a9+xfOe9zzy+Txbt27lQx/6UDuXZk5ZFuJuNdGS0GuwctRI2NX7WxCExcUiqaEFYS6Yq2n0TIumy32q3mlJpETc1AiaZvdXleitZj+t9KlWYC4ONVPohnOy5f6rWZ5MTExw9tlnc9NNN9X9/EMf+hB/8zd/w80338xPfvITenp6uOSSSygUCsk2r3vd67j//vu59dZb+cY3vsGdd97JVVddlXw+OjrKxRdfzLZt27j77rv58Ic/zPve976mkj7OJ8vCLXO1MmNsXvQQqZ3bzSbsBEFYWlQKmrTfXhBWKzNZgFq9N1SDv+tttxzvu0bXarZzmRZjBjhhY6qycc92XaqtXrXCyD0FVbRiNet+GrzX7PfSzlypuo2u/7cydUVePI9b7Z4WscdJu21b4bLLLuOyyy6r+5m1lo9//OO8973v5WUvexkA//RP/8SmTZv42te+xqtf/Wp++9vf8u1vf5uf/exnPOMZzwDgk5/8JC960Yv4yEc+wpYtW/j85z9PqVTiM5/5DNlslqc+9ance++9fPSjH60SgQuNWO5WECLsBGEZ0sANr/nXYp+AICx/loNtpV2r25xZHKcJM13nswWkQ+vftN3N0H7urMLL4Zc2f3TkqRLtY3R0tOpVLBZb7sfu3bs5cOAAF110UfLewMAA559/PnfddRcAd911F4ODg4mwA7jooovQWvOTn/wk2eb5z38+2Ww22eaSSy7hwQcf5Pjx461foDlCxN0KYXU/LgRBEAShmvkaFxd6PaVjN8o52Kahxa2VftTsozomTdccp9n+TH9vtj10+vn07Wti8FJ9EarpJL48ttxt3bqVgYGB5HXjjTe23I8DBw4AsGnTpqr3N23alHx24MABNm7cWPW57/usXbu2apt6+0gfYzEQcbccmRa4W/8zWdAXhKVPXOeu3Ver9/lqDjIXVhZzJVxamYY3c7+pmle7dGpJmrZNncQfTe2jQ2FXTWUf0/MLzL7/WXvfqgWvjvWvufaVpP6tulpKopXO2Lt3LyMjI8nrPe95z2J3ackh4m6JM/MDYOZgXnl0CMLSZ6GzZa7mIHNh5dDs+DaXi5zNCrtm3mtnP632ZXqjucrCZEiLm9lo/vznv5JZs+KwlqqrVnUdZ+izWO+m0UnysPiS9/f3V71yuVzL/Yjrhh48eLDq/YMHDyafDQ0NcejQoarPgyDg2LFjVdvU20f6GIuBiLtlTlXmquTNyirUSsjuJQgrmk4Huxbnapdddhkf/OAHecUrXjG9KzVB5meddRb/9E//xL59+xILXxxk/g//8A+cf/75PPe5z+WTn/wkX/ziF9m3bx9AVZD5U5/6VF796lfzZ3/2Z3z0ox/t8GIJwtwz2y3Uym22EB4zC+WVM33u0EEJ6mSOYmZ4tdCfNoXqtO+yhX1YatonfWhwHhIQPY25cMucC7Zv387Q0BC33XZb8t7o6Cg/+clP2LFjBwA7duxgeHiYu+++O9nmu9/9LsYYzj///GSbO++8k3K5nGxz6623cvrpp7NmzZo562+riLhbwrRktav3njxYBGFVEIahBJkLq4q5Ht2Wy2g5H/1se58LPMeoe7RFmudUCT2ZazWNsbajVyuMj49z7733cu+99wJufLv33nvZs2cPSine+ta38sEPfpB/+7d/47777uMNb3gDW7Zs4eUvfzkAZ5xxBpdeeilXXnklP/3pT/nhD3/Itddey6tf/Wq2bNkCwGtf+1qy2Sw7d+7k/vvv50tf+hKf+MQnuO666+bysrWMiLslSkNh16yZP3UTyGNHEJYutsOVTAvcc889VQHmEmQurAaasbh1ur92xs+5GHPnqi+N9j3NCtXSDlJWs1mKbk6bscxWsHOWCfxcXoOGx2zRnTIReC2chzD//PznP+fcc8/l3HPPBeC6667j3HPP5frrrwfgne98J295y1u46qqreOYzn8n4+Djf/va3yefzyT4+//nP85SnPIUXvvCFvOhFL+K5z31uVXjBwMAA3/nOd9i9ezfnnXceb3/727n++usXtQwCSJ27FURKp4uwE4RlRSfzAAuce+653H777VXvtxOHIAjLDYuEHrRCK4+aute2o4fVDG073W+q3t5c0NFeRNg1ZHoSndbatsIFF1yAneG7UErxgQ98gA984AMNt1m7di1f+MIXZjzOWWedxfe///2W+jbfiLhbttT6p89/ILIgCHNPnFCl/fYWz/Po7+/vuC/pIPPNmzcn7x88eJBzzjkn2Wa5BpkLK5P5FHhLpWD5fFkDW9vBPAm7eaDlo6UFIq1/78lvUITdjMQRiu22FZpD3DIFQRAWEdthDMJcziVWepC5ICwUMhFtn5munVhplzdLJaHKSkfE3bImWv+YxeddEAQhZjUHmQvLl7nM/NxoX3MpHOZiX0tmRF/kucWsNQPnouTAApYt6MQ1URCaQdwylyAdFbeUeDtBWFa4pAYLd7f+/Oc/58ILL0z+HQuuK664gs9+9rO8853vZGJigquuuorh4WGe+9zn1g0yv/baa3nhC1+I1prLL7+cv/mbv0k+j4PMr7nmGs477zzWr1+/JILMheVJO2NiM3dU2vVuJVqE5tRdVRaP54TVLuqs7SDmTn6DTSPibpkjP3VBWN50EoMQt2+F1RxkLix/0mKlXWGWFj3zJermSlh1OsbXnms7GUQ7OY9W2tfrW0vHjp5rs53jtH02sNrNRbzlahdztXTiXilumc0j4k4QBGFR6SyWQCYPwmql0cR/qd0Ri92f5ZBRtO1r1GmWzHl0x5Rn83RE3C0MIu6WE9MeQhIyKQjLHUtn7iYy3AlChaV0P6yUvsyF9Y4G+5jrDJ6Lec3j6yQxdcJiI+JuWSKiThAEQRDSdFzDTWjIbC6wzVz7dgvCz+v3FIvDOhbAdvsrNCbOe9luW6E5RNwtU1yAeYapySlZIRKWBYVCYbG7sCSZizp3grCSKRQL+JP1pytz+fuvTdwi99bSYaakOu1+T/OxT4AwDNtuu9IRt8yFQcTdMmZqqsR/PrQHawOwbkWj8kBKlUloEhnIBGHhsR3H3AnCymbv3r2L3QVBEOYAEXcLg4i7JYjF1l9RsjZyHTBYNNZM1mltqref5TiCICw2tkN3E7mPBUEQBEFwiLhbbqQEXiX2rs7EUISdICwLxC1TEARBWA2Y6L922wrNIeJuOVIl8Gren6mZTAIFQRAEQRCERcAqi1XtJlSROWyziLhbojR0zUw2aO1HLjeFICxNJOZOEARBWA10Mt7JPLZ5RNwtYdI/5BmFXpP7EARh6eHcMtt3N5F7XBAEQRCEGBF3KxSZ8AnCcqF9N5W4vSAIgiAsdQwGJTF3886yqYb9+7//+5x44onk83k2b97M61//evbt27fY3VowbOq/ZrYTBEEQlh+rfawTBGHlYpNiCO29hOZYNuLuwgsv5Mtf/jIPPvgg/+f//B927drFH/zBHyx2txYFO8N/giAsL2yHw53c9ysLGesEQVipGGU6egnNsWzcMt/2trclf2/bto13v/vdvPzlL6dcLpPJZBaxZ4IgCO3jxJ3E3AkOGesEQRCETlg24i7NsWPH+PznP89znvOcGQe7YrFIsVhM/j06OroQ3RMEQWiBzoqYi7hbuTQz1sk4JwjCckFi7haGZeOWCfCud72Lnp4e1q1bx549e/j6178+4/Y33ngjAwMDyWvr1q0L1FNBEITmsKozVxWrRNytNFoZ62ScEwRhuWA6/E9ojkUVd+9+97tRSs34euCBB5Lt//zP/5x77rmH73znO3iexxve8AbsDPXe3vOe9zAyMpK89u7duxCnJQiCIAgJ8znWyTgnCMJyQRKqLAyL6pb59re/nTe+8Y0zbnPyyScnf69fv57169fz5Cc/mTPOOIOtW7fy4x//mB07dtRtm8vlyOVyc9llQRCEOUVi7lY+8znWyTgnCIIgpFlUcbdhwwY2bNjQVltj3GQoHWsgCIKw3BBxt/KRsU4QBAEMIYqw7bZCcyyLhCo/+clP+NnPfsZzn/tc1qxZw65du/j//r//j1NOOaWh1U4QBGF50FlCFSlivnKQsU4QhJWM7WC8k4XM5lkWCVW6u7v56le/ygtf+EJOP/10du7cyVlnncUdd9wh7iiCICxr3FAXtv2SAW/lIGOdIAgrGalztzAsC8vd05/+dL773e8udjcEQRAEYd6QsU4QBEHolGUh7gRBEFYqnbipxO0FQRAEYanjYu7acxqUmLvmEXEnCIKwqNiO3E1E3AmCIAjLg05KGohbZrOIuBMEQVhE4pi7TtoLgiAIwlLH2JB20324tkIziLgTBEFYRDp1y5RsmYIgCIIgxIi4EwRBEARBEARhXrEduGV2tgi6ulgWpRAEQRBWKhaDsWHbLxnwBEEQhOWAJezo1Szve9/7UEpVvZ7ylKcknxcKBa655hrWrVtHb28vl19+OQcPHqzax549e3jxi19Md3c3Gzdu5M///M8JgmDOrsV8IpY7QRCERUayZQqCIAgrHYOh3cQopsV2T33qU/mP//iP5N++X5E8b3vb2/jmN7/JV77yFQYGBrj22mt55StfyQ9/+EMAwjDkxS9+MUNDQ/zoRz9i//79vOENbyCTyfDXf/3XbfV/IRHLnSAIwiLi3FQ6WclsTdyt9hVNQRAEYeXj+z5DQ0PJa/369QCMjIzwj//4j3z0ox/l937v9zjvvPO45ZZb+NGPfsSPf/xjAL7zne/wm9/8hn/5l3/hnHPO4bLLLuMv//IvuemmmyiVSot5Wk0h4k4QBGGV8dSnPpX9+/cnrx/84AfJZ29729v4v//3//KVr3yFO+64g3379vHKV74y+Txe0SyVSvzoRz/ic5/7HJ/97Ge5/vrrF+NUBEEQhGVCnECsvZdbyBwdHa16FYvFusd66KGH2LJlCyeffDKve93r2LNnDwB333035XKZiy66KNn2KU95CieeeCJ33XUXAHfddRdPf/rT2bRpU7LNJZdcwujoKPfff/98XZ45Q8SdIAjComIxHfzXjlvmal7RFARBEBYHa8OOXgBbt25lYGAged14443TjnP++efz2c9+lm9/+9t86lOfYvfu3Tzvec9jbGyMAwcOkM1mGRwcrGqzadMmDhw4AMCBAweqhF38efzZUkdi7gRBEBaRuSiFEIYho6OjVe/mcjlyuVzdFvGKZj6fZ8eOHdx4442ceOKJs65oPvvZz264onn11Vdz//33c+6553ZwLoIgCMJKZS5i7vbu3Ut/f3/yfr1x7rLLLkv+Puusszj//PPZtm0bX/7yl+nq6mrr+MsJsdwJgiAsJtZ2uJppuOeee6pWMhutZoKsaAqCIAjLl/7+/qpXo0XMNIODgzz5yU/m4YcfZmhoiFKpxPDwcNU2Bw8eZGhoCIChoaFpsebxv+NtljJiuRMEQVhEbOSW2Un7c889l9tvv73q/UYD3mpf0RQEQRAWB5cITLXdtl3Gx8fZtWsXr3/96znvvPPIZDLcdtttXH755QA8+OCD7Nmzhx07dgCwY8cO/uqv/opDhw6xceNGAG699Vb6+/s588wz2+7HQiGWO0EQhGWO53ltrWbC6lvRFARBEBYHa01Hr2Z5xzvewR133MGjjz7Kj370I17xilfgeR6vec1rGBgYYOfOnVx33XXcfvvt3H333bzpTW9ix44dPPvZzwbg4osv5swzz+T1r389v/zlL/n3f/933vve93LNNdc0PbYuJiLuBEEQFhEXc7dwpRBqiVc0N2/eXLWiGVNvRfO+++7j0KFDyTbLaUVTEARBWBw6SR7WiofL448/zmte8xpOP/10/ut//a+sW7eOH//4x2zYsAGAj33sY7zkJS/h8ssv5/nPfz5DQ0N89atfTdp7nsc3vvENPM9jx44d/NEf/RFveMMb+MAHPjDn12Q+ELdMQRCERcW2tCJZp3VL27/jHe/gpS99Kdu2bWPfvn3ccMMNdVc0165dS39/P295y1sarmh+6EMf4sCBA8tqRVMQBEFY2Xzxi1+c8fN8Ps9NN93ETTfd1HCbbdu28a1vfWuuu7YgiLgTBEFYROYi5q4V4hXNo0ePsmHDBp773OdOW9HUWnP55ZdTLBa55JJL+Lu/+7ukfbyiefXVV7Njxw56enq44oorls2KpiAIgrA4WNtBzJ1tP+ZutSHiThAEYVGxnQ1atjVxt9pXNAVBEITFoZPSP+3UdF2tiLgTBEEQBEEQBGFesdZ0YLnrpB7s6kLEnSAIwiLSaRFzWc0UBEEQBCFGxJ0gCMJiYjtLqNJptkxBEARBWBjCDkYsiblrFhF3giAIi0hcCqH99uKqIgiCICx93EKmuGXONyLuBEEQFpUOLXctJlQRBEEQhMVAxN3CIEXMBUEQBEEQBEEQVgBiuRMEQVhEbIcxd5JQRRAEQVgOGAyqXcudhCA0jYg7QRCERWVhi5gLgiAIwmIgbpkLg4g7QRCERcRKzJ0gCIKwCrC2g+RhHbRdbawqcWeTSZBMhgRB6BT3HLEiroQlhIxzgiDMHTLOLUdWlbgbGxuL/hLTriAIc8PY2BgDAwPt78DazlYzZRIvpJBxThCEuabjcS7CjVftPZtkrGueVSXutmzZwt69e+nr60Op9nx+lyujo6Ns3bqVvXv30t/fv9jdWdLItWqO1X6drLWMjY2xZcuWzvaD7TBQXAY8ocJqHudAnkvNItepeVbztZqrca6yvw7iyyXmrmlWlbjTWnPCCScsdjcWlf7+/lX3cGoXuVbNsZqv01ysZHZa507cZYQ0Ms45VvNzqRXkOjXPar1WczPOOUTcLQyrStwJgiAsNTpOqCKWO0EQBEEQIkTcCYIgCIIgCIIwr3QSgiB17ppHxN0qIZfLccMNN5DL5Ra7K0seuVbNIddp7uhswBPLnSDEyHOpOeQ6NY9cq7lD3DIXBmUlYEMQBGFReMc73sHHP/ZpfH+w7X0EwQg7//g1fPrTn567jgmCIAjCHDE6OsrAwAAZfwildFv7sNZQDg4wMjKyKmMfW0Esd4IgCItIpzF3YrkTBEEQBCFGxJ0gCMKi0n7dn0p7QRAEQVjqdDLWiVtms4i4EwRBEARBEARhXpGYu4VBxJ0gCMJiYjsshSBh04IgCMIyQLJlLgztRTUKy5pHH32UnTt3sn37drq6ujjllFO44YYbKJVKi921Reemm27ipJNOIp/Pc/755/PTn/50sbu05Ljxxht55jOfSV9fHxs3buTlL385Dz744GJ3a9lisVhMBy8Rd4JQi4xzMyNj3czIOCcsZ0TcrUIeeOABjDF8+tOf5v777+djH/sYN998M3/xF3+x2F1bVL70pS9x3XXXccMNN/CLX/yCs88+m0suuYRDhw4tdteWFHfccQfXXHMNP/7xj7n11lspl8tcfPHFTExMLHbXlinOctfuS2LuBGE6Ms41Rsa62ZFxbn6wtpPxTsa6ZpFSCAIAH/7wh/nUpz7FI488sthdWTTOP/98nvnMZ/K3f/u3ABhj2Lp1K295y1t497vfvci9W7ocPnyYjRs3cscdd/D85z9/sbuzrHjHO97BRz/6SbTuansfxhS48sorpBSCIMyCjHMOGetaR8a5zohLIWjdj1KqrX1YazFmVEohNIFY7gQARkZGWLt27WJ3Y9EolUrcfffdXHTRRcl7Wmsuuugi7rrrrkXs2dJnZGQEYFX/fgRBWPqs9nEOZKxrFxnn5oZOvFQkoUrziLgTePjhh/nkJz/Jn/zJnyx2VxaNI0eOEIYhmzZtqnp/06ZNHDhwYJF6tfQxxvDWt76V3/3d3+VpT3vaYndnWdKZm4q4qghCM8g455CxrnVknBOWGyLuVhDvfve7UUrN+HrggQeq2jzxxBNceumlvOpVr+LKK69cpJ4Ly5VrrrmGX//613zxi19c7K4sY+I6d+2+RNwJqwcZ54SFRsa5uaSTsU4sd80ipRBWEG9/+9t54xvfOOM2J598cvL3vn37uPDCC3nOc57D3//9389z75Y269evx/M8Dh48WPX+wYMHGRoaWqReLW2uvfZavvGNb3DnnXdywgknLHZ3ljEWOnI3EXEnrB5knOsMGetaQ8a5OcYaoL2YOyn70zwi7lYQGzZsYMOGDU1t+8QTT3DhhRdy3nnnccstt6D16jbiZrNZzjvvPG677TZe/vKXA84V47bbbuPaa69d3M4tMay1vOUtb+Ff//Vf+d73vsf27dsXu0uCIKwSZJzrDBnrmkPGufmhk9I9UvaneUTcrUKeeOIJLrjgArZt28ZHPvIRDh8+nHy2mlfurrvuOq644gqe8Yxn8KxnPYuPf/zjTExM8KY3vWmxu7akuOaaa/jCF77A17/+dfr6+pI4jYGBAbq62s/6uJrpbNCSAU8QapFxrjEy1s2OjHPCckbE3Srk1ltv5eGHH+bhhx+e5mawmpMz/OEf/iGHDx/m+uuv58CBA5xzzjl8+9vfnhZ4vtr51Kc+BcAFF1xQ9f4tt9wyq7uUUI845q6T9q1z00038eEPf5gDBw5w9tln88lPfpJnPetZHfRDEJYOMs41Rsa62ZFxbr7owC2zjbFutY5zUudOEARhkXjHO97B//yfH0Phtb0PS8hVV/1xS3XuvvSlL/GGN7yBm2++mfPPP5+Pf/zjfOUrX+HBBx9k48aNbfdFEARBEGqJ69yBj2pT3DkPl6DpOnereZwTB3RBEIRFxXb0XzurmR/96Ee58soredOb3sSZZ57JzTffTHd3N5/5zGfm/vQEQRAEAehkvGt1rFvN45yIO0EQhEVizZo1EK1Gtv+y9Pf3Mzo6WvUqFot1jylFjAVBEITFw7b5cjQz1q32cU5i7gRBEBaJd73rXbzkJS/peD9f+cpXIpeXCjfccAPve9/7pm07UxHj2vpggiAIgtAp2WyWoaGhJDFNu/T29rJ169aq9+qNdat9nBNxJwiCsEj4vs/ZZ5/d8X6e8pSn8M53vrPqvVwu1/F+BUEQBKFT8vk8u3fvplQqdbQfay1KVcfsyVg3HRF3giAIy5xcLtf0ACdFjAVBEISFJp/Pk8/nF+RYq32ck5g7QRCEVUS6iHFMXMR4x44di9gzQRAEQeic1T7OieVOEARhlSFFjAVBEISVzGoe50TcCYIgrDKkiLEgCIKwklnN45wUMRcEQRAEQRAEQVgBSMydIAiCIAiCIAjCCkDEnSAIgiAIgiAIwgpAxJ0gAIcPH2ZoaIi//uu/Tt770Y9+RDabrcq2JAiCIAjLFRnrBGHlIzF3ghDxrW99i5e//OX86Ec/4vTTT+ecc87hZS97GR/96EcXu2uCIAiCMCfIWCcIKxsRd4KQ4pprruE//uM/eMYznsF9993Hz372s6aLQwuCIAjCckDGOkFYuYi4E4QUU1NTPO1pT2Pv3r3cfffdPP3pT1/sLgmCIAjCnCJjnSCsXCTmThBS7Nq1i3379mGM4dFHH13s7giCIAjCnCNjnSCsXMRyJwgRpVKJZz3rWZxzzjmcfvrpfPzjH+e+++5j48aNi901QRAEQZgTZKwThJWNiDtBiPjzP/9z/vf//t/88pe/pLe3lxe84AUMDAzwjW98Y7G7JgiCIAhzgox1grCyEbdMQQC+973v8fGPf5x//ud/pr+/H601//zP/8z3v/99PvWpTy129wRBEAShY2SsE4SVj1juBEEQBEEQBEEQVgBiuRMEQRAEQRAEQVgBiLgTBEEQBEEQBEFYAYi4EwRBEARBEARBWAGIuBMEQRAEQRAEQVgBiLgTBEEQBEEQBEFYAYi4EwRBEARBEARBWAGIuBMEQRAEQRAEQVgBiLgTBEEQBEEQBEFYAYi4EwRBEARBEARBWAGIuBMEQRAEQRAEQVgBiLgTBEEQBEEQBEFYAfz/ASpn0UEC4nBZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 900x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get individual simulation data from batch result\n",
    "sim_data_te = batch_results[\"TE\"]\n",
    "sim_data_tm = batch_results[\"TM\"]\n",
    "\n",
    "# plot the field intensities in the te and tm cases\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(9, 4))\n",
    "sim_data_te.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", ax=ax1, vmin=0, vmax=4000\n",
    ")\n",
    "sim_data_tm.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", ax=ax2, vmin=0, vmax=4000\n",
    ")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "904169bf",
   "metadata": {},
   "source": [
    "To quantify the filter performance, we plot the transmission in both simulations. The result shows a good transmission (about -0.5 dB) for the TM mode and a low transmission (about -40 dB) for the TE mode. That is, the designed filter functions well while being very compact in size. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "7a4d9dd4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T20:42:08.659287Z",
     "iopub.status.busy": "2023-03-27T20:42:08.659150Z",
     "iopub.status.idle": "2023-03-27T20:42:08.857680Z",
     "shell.execute_reply": "2023-03-27T20:42:08.857193Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T_te = sim_data_te[\"flux\"].flux\n",
    "T_tm = sim_data_tm[\"flux\"].flux\n",
    "\n",
    "# plot the transmissions in the te and tm cases\n",
    "plt.plot(ldas, 10 * np.log10(T_te), label=\"TE\")\n",
    "plt.plot(ldas, 10 * np.log10(T_tm), label=\"TM\")\n",
    "plt.xlim(1.48, 1.62)\n",
    "plt.ylim(-50, 0)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Transmission (dB)\")\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d03118e9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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