{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Mode sources and mode monitors\n", "\n", "Here, we look at a simple demonstration of how to excite a specific waveguide mode, and how to decompose the fields recorded in a monitor on the basis of waveguide modes, i.e. how to compute the power carried in each mode." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "# standard python imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "\n", "# tidy3D import\n", "import tidy3d as td\n", "from tidy3d import web\n", "from tidy3d.plugins.mode import ModeSolver\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Straight waveguide simulation\n", "\n", "First, we will do a simulation of a straight waveguide, using a silicon ridge waveguide on a silicon oxide substrate. We begin by defining some general parameters." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Unit length is micron.\n", "wg_height = 0.22\n", "wg_width = 0.45\n", "\n", "# Permittivity of waveguide and substrate\n", "si_eps = 3.48**2\n", "sio_eps = 1.45**2\n", "\n", "# Free-space wavelength (in um) and frequency (in Hz)\n", "lambda0 = 1.55\n", "freq0 = td.C_0 / lambda0\n", "fwidth = freq0 / 10\n", "\n", "# Simulation size inside the PML along propagation direction\n", "sim_length = 5\n", "\n", "# Simulation domain size and total run time\n", "sim_size = [sim_length, 4, 2]\n", "run_time = 20 / fwidth\n", "\n", "# Grid specification\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lambda0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Initialize structures, mode source, and mode monitor\n", "\n", "When initializing `ModeSource` and `ModeMonitor` objects, one of the three values of the `size` parameter must be zero. This implicitly defines the propagation direction for the mode decomposition. In this example, the waveguide is oriented along the x-axis, and the mode is injected along the positive-x direction (\"forward\"). Below, we add a mode monitor that will show us the waveguide transmission at a range of frequencies, as well as a simple frequency monitor to examine the fields in the xy-plane at the central frequency. Note that we use a rather wide frequency range in the flux and modal monitors. This will be used later to demonstrate the effect of mode mismatch away from the central frequency and to discuss ways to remedy that." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [] }, "outputs": [], "source": [ "# Waveguide and substrate materials\n", "mat_wg = td.Medium(permittivity=si_eps)\n", "mat_sub = td.Medium(permittivity=sio_eps)\n", "\n", "# Substrate\n", "substrate = td.Structure(\n", " geometry=td.Box(\n", " center=[0, 0, -sim_size[2]],\n", " size=[td.inf, td.inf, 2 * sim_size[2]],\n", " ),\n", " medium=mat_sub,\n", ")\n", "\n", "# Waveguide\n", "waveguide = td.Structure(\n", " geometry=td.Box(\n", " center=[0, 0, wg_height / 2],\n", " size=[100, wg_width, wg_height],\n", " ),\n", " medium=mat_wg,\n", ")\n", "\n", "# Modal source parameters\n", "src_pos = -sim_size[0] / 2 + 0.5\n", "src_plane = td.Box(center=[src_pos, 0, 0], size=[0, 3, 2])\n", "\n", "# xy-plane frequency-domain field monitor at central frequency\n", "freq_mnt = td.FieldMonitor(\n", " center=[0, 0, wg_height / 2], size=[100, 100, 0], freqs=[freq0], name=\"field\"\n", ")\n", "\n", "\n", "# frequencies\n", "mon_plane = td.Box(center=[-src_pos, 0, 0], size=[0, 3, 2])\n", "Nfreqs = 17\n", "freqs = np.linspace(freq0 - 2 * fwidth, freq0 + 2 * fwidth, Nfreqs)\n", "fcent_ind = Nfreqs // 2 # index of the central frequency\n", "\n", "# flux monitor\n", "flux_mnt = td.FluxMonitor(\n", " center=mon_plane.center, size=mon_plane.size, freqs=list(freqs), name=\"flux\"\n", ")\n", "\n", "# Modal monitor at a range of frequencies\n", "mode_mnt = td.ModeMonitor(\n", " center=mon_plane.center,\n", " size=mon_plane.size,\n", " freqs=list(freqs),\n", " mode_spec=td.ModeSpec(num_modes=3),\n", " name=\"mode\",\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialize simulation and visualize two cross-sections to make sure we have set up the device correctly." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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llOd9/PHH2LJlS873ISKi4mM/wn4kF03T8I1vfAN//OMfsXv3bqxevRpnnnlmnw8ipk6d6qgnueGGG6zXZOsVXnrpJZim6agnefvtt/tcqZDe0xx22GEIBAJ93icajWLDhg3sSahoGO4rhKqqOP300/GXv/ylz4EGgHVfUzazZs1CKBTC//7v/6Y897e//S06Ojpw8sknAwA6Ozuh63rKaw8//HCoqmpdmrRr164+25cHuUyXL0lOXvef//mf2Lp1K37961/3eW5PT4810+7pp58OVVVxzTXX9AmNyX+/2tpa7NmzJ+uYpKOOOgrDhw/HihUrUv4Of/vb3/DWW29ZP5+Bkr/YkscYjUZxyy239HlubW2t48vitm3bhv/8z//Esccea81wm0kh99yfdtppCAaDKWMUQmDFihX41Kc+henTp6eMY+PGjYjFYtZjX/va17Bjxw786U9/sh5ra2vD/fffj1NOOcW6n+3QQw/FxIkTcdttt6V8kn/rrbdCURR87Wtfc/SzICKi4mE/wn7EibPPPhu7d+/Gd77zHXR1dWWcwb6Qe+5POOEEDBs2DLfeemvKtm699VbU1NSk/Hza2tqwcePGlDkbvva1r8EwDNx2223WY5FIBHfccQemTZtmXZHR0NCAWbNm4e6778bevXut5951113o6urC3Llz8/p5EDnFy/IryE9+8hM89thjmDFjhrUsy7Zt23D//ffj73//e8rSKOlaWlqwePFiLF26FHPmzMGpp56KTZs24ZZbbsHUqVOtg+4TTzyBBQsWYO7cuTjwwAOh6zruuusuaJqGr371qwCAa665Bk899RROPvlkjB07Fp988gluueUWjB49ut8l0Zy87uyzz8Yf/vAHXHjhhVi3bh0+97nPwTAMbNy4EX/4wx/w6KOP4qijjsIBBxyAH/7wh/jRj36E4447Dl/5ylcQDofx4osvYtSoUVi2bBmA+NIot956K3784x/jgAMOwPDhw63JcJIFg0Fcd911OO+88zBjxgyceeaZ1tIz+++/Py655JJCy5Zi+vTpGDp0KObNm4fvf//7UBQFd911V8ZmaMqUKVi1ahUWLVqEqVOnoq6uDqecckrG7X7/+9/Hzp07cfnll+P3v/99yp8dccQROOKIIwAUds/96NGjsXDhQlx//fWIxWKYOnUqVq9ejaeffhr33HNPyifxixcvxp133okPPvgA+++/P4D4L9LPfvazOO+88/Cvf/0Lzc3NuOWWW2AYBpYuXZryXtdffz1OPfVUnHjiiTjjjDPwxhtv4Je//CW+/e1v91mKj4iISoP9CPuRbP2INHnyZBx22GHWxISf+cxn+jyn0Hvuf/SjH+Hiiy/G3LlzMXv2bDz99NO4++67ce2112LYsGHWc3/5y19i6dKlWLduHWbOnAkAmDZtGubOnYvFixfjk08+wQEHHIA777wTH374IX7729+mvNe1116L6dOnW//Ot2zZgp/97Gc48cQTMWfOnLzHTuRISebop5L597//Lc455xzR0tIiwuGwGD9+vLj44otFJBIRQthLz2RankaI+FIzEydOFMFgUIwYMUJcdNFFYvfu3dafv//+++Jb3/qWmDBhgqiqqhLDhg0Txx9/vHj88cet56xdu1acdtppYtSoUSIUColRo0aJM888U7z99tv9jt3p66LRqLjuuuvEoYceKsLhsBg6dKiYMmWKWLp0qejo6Eh57u233y4mT55sPW/GjBlizZo11p9v375dnHzyyWLIkCECgLUMTfrSM9KqVaus7Q0bNkycddZZYsuWLSnPmTdvnqitre3z97v66quFk13ymWeeEZ/97GdFdXW1GDVqlLj88svFo48+2mc8XV1d4hvf+IZobGwUAPpdhmbGjBmOlpAplGEY4ic/+YkYO3asCIVC4tBDDxV33313n+fJZXk++OCDlMd37dolzj//fNHU1CRqamrEjBkzsv4bfeCBB8SkSZNEOBwWo0ePFldddZWIRqMD/jsQEZF72I+wH8nlpz/9qQAgfvKTnzh6fj5uu+02cdBBB4lQKCQmTJggbrrpppSlB4Wwfw7pP9uenh7x//7f/xMjR44U4XBYTJ061VqWN93TTz8tpk+fLqqqqkRLS4u4+OKLRWdnp+t/HyJJESLH9U9EREREREQe+vnPf45LLrkEH374Ifbbb79SD4eoLDDcExERERGRbwghcOSRR6KpqSnn5IZEZOM990REREREVHLd3d3485//jHXr1uH111/Hgw8+WOohEZUVnrknIiIiIqKS+/DDDzFu3Dg0Njbiu9/9Lq699tpSD4morDDcExEREREREZU5rnNPREREREREVOYY7omIiIiIiIjKXEVNqGeaJj7++GMMGTIEiqKUejhERJ4QQmDv3r0YNWoUVJWf6ZK7+LuViIiouJz2chUV7j/++GOMGTOm1MMgIiqJjz76CKNHjy71MGiQ4e9WIiIib+Tq5Soq3A8ZMgQAsPCSSxEKV1mPKzAgzzWYUJDpbgUF8XkHY6GajH8+YMJAQI8AAPRAGFA0998j9yAQiPUAAExVhalV5Xh+cahGL1TTBADowWoAJTgTxHpYWA9rECWsh4lgdJ/1/7mOV+mikV4sv+ln1jGQyE3y39Ull1yCcDgMRVEQCoVc2bac87e5uRnBYDDn8zs6OhCJxI8VLS0tJbmSIBqNYs+ePQCAxsZG134W+RBCYOfOnQCAcDiMhoYGz8cAsB4S62FjPWysR9xgqkcsFkNbWxsAFPR6wzCg6zoAIBAIQNPsfrenpwc//elPc/ZyFRXu5Q85FK5CuKYm/pipQ4GAgGIFeFPRACWtYRYCCgTUUC1E+p8NdFymgYDeAxGqBQCEhQk9UAWhehhghEBA74ESqIapalBNA4YWhKl5u5OrRhSaIawxhBQVeqAa8PCAx3rYWI+EEtdDESaCmgCE6ex4lW07vGSaikD+uwqHw6ipqYFpmggEAgiHwwPetmmaME0T9fX1OZvOvXv3QtM0DBs2DJFIBLFYDE1NTZ7eihKNRtHd3W01p7FYDA0NDZ42zKZpor29HbW1tQiHw+jt7YWqqp5/uMd6xLEeNtbDxnrEDbZ6yJ+pqqp5v1bXdUSj0ZQPskOhEAKB1Lieq5er6Jsvk4O9UAMwEQ8LqjAAYXo0hkRwSYQmPVANoajxIGEanozBCi7ChB6ohhGohqGFoBlRqEbUmzFABskoDC0EI/GzUISJgN4DeLRiI+thYz0SfFKP5GBfquMVUX+CwSCqq6sRCASg67p1BsQLe/fuRWdnJ+rr69HU1ITm5mbEYjG0t7fDNL3ZP6LRKNra2hAMBtHc3GxdbdDW1oZo1JtjhWyUY7EYmpub0dTUhPr6enR2dmLv3r2ejAFgPSTWw8Z62FiPONbDJoO9oiioqqpCVVUVFEVBNBq1zuQ7VbHhPj3YAwBU1dOGOT24QFEARfE2wKQFF3k21NRCngaY5CApz4YKVfM0ULIeNtYjwUf1KPXxiigXeZYiHA57GvCTGzN5ticUCnnaoCU3yvJsj6qqaGpq8qxhTm+U5dm3IUOGeNowsx5xrIeN9bCxHnGshy052IfDYase8ja3fAN+RYb7+D32aY2y5FHDnDG4WH/oUYDJElwkrwJMpiBpDdGjQMl62FiPBB/VQzVj8eNV+lwDDPjkU14F/EyNmeRVg5apUZa8apizNcqSVw0z6xHHethYDxvrEcd62DIFeyk94DsdQ4WGe2QO9lKRG+Z+g4v1pCIHmBzBRSp2gOkvSFpDLXKgZD1srEeCz+phqsHs99Uz4JNPFTvg99eYScVu0PprlKViN8y5GmWp2A0z6xHHethYDxvrEcd62PoL9lJywI/FYo62W5HhXgDZg71UpIbZUXCxnlykAOMwuEjFCjBOgqQ15CIFStbDxnoklGE9GPDJr4oV8J00ZlKxGjQnjbJUrIbZaaMsFathZj3iWA8b62FjPeJYD5uTYC/JgO9UhYZ7h7NsJzfMMAccYPIKLtaLXA4weQYXye0Ak1dwSXA7ULIeNtYjoYzrwYBPfuV2wM+nMZPcbtDyaZQltxvmfBtlye2GmfWIYz1srIeN9YhjPWz5BHtJVVXHP7OKDPd5SWqYlQEE/IKCi/VilwJMgcFFcivAFBRcEtwKlKyHjfVIGAT1YMAnv3Ir4BfSmEluNWiFNMqSWw1zoY2y5FbDzHrEsR421sPGesSxHrZCgr3kdDljhnsnVBVm4kelGb15B5gBBRdrIwMMMAMMLtJAA8yAgkvCQAMl62FjPRIGUT0Y8MmvBhrwB9KYSQNt0AbSKEsDbZgH2ihLA22YWY841sPGethYjzjWwzaQYJ8PhnunFBUCCpRECHAaYFwJLtbGCgwwLgUXqdAA40pwSSg0ULIeNtZDDn7w1aNPwAcDPvlDoQG/u7t7wI2ZVGiD5kajLBXaMLvVKEuFNsxuNMoS62FjPeJYDxvrYSvnengV7AGG+/woKgwt7DjAuBpcrI3mGWBcDi5SvgHG1eCSkG+gZD1srIcc9OCtR+qcIcVZspCoEPkGfF3X0dXV5UpjJuXboLnZKEv5NsxuN8pSvg2zm42yxHrYWI841sPGetjKsR5eBnuA4T5vTgNMUYKLtXGHAaZIwUVyGmCKElwSWA8b6yE3znrYG7cDPpGfOA34cm3furo61xozyWmDVoxGWXLaMBerUZacNszFaJQl1sPGesSxHjbWw1ZO9fA62AMM9wXJFWCKGlysN8kRYIocXKRcAaaowSWB9bCxHvJNWA/7TVSYKMLPmGiAcgX8SCQCwzCgqipqa2uLMoZcDVoxG2UpV8Nc7EZZytUwF7NRllgPG+sRx3rYWA9bOdSjFMEeYLgvWLYA40lwkbIFGI+Ci5QtwHgSXBJYDxvrkcB6JOGhnvwpW8CPRCLQdR2apiEQCBR1DNkaNC8aZSlbw+xVoyxla5i9aJQl1sPGesSxHjbWw+bnehiGUZJgD7DjG5D0AKOYunfBReoTYHRPg4uUHmC8DS5xrIeN9UhgPYh8Lz3gy2AfCASK3hxK6Q1aJBLxrFGW0hvmSCTiaaMspTfMXjbKEuthYz3iWA8b62HzWz327NlT0mAPMNwPWGqA6fU2uEgpAabX8+AiJQeYUgUX1sPGeiSwHkS+lxzwZbAPh8OejkE2aPIMWCAQ8KxRlmTDHAgErDNiXjbKUnLD7HWjLLEeNtYjjvWwsR42P9UjFovBMIySBXuA4Z6IiIiIiIio7DHcD1DqPcRVea/z7YqUe4ir8l/n2yXJlxoXss63G1gPG+uRwHoQ+V7ypfj5LJPnJnkGTJ6B0XU9r3WM3SDvWdV13ToDls+60m5JvrS1kHWl3cB62FiPONbDxnrY/FSPYDAITdMghEAkEvG0HhLD/QCkTw4m1EBe63y7os/kYIH81vl2Sfo9xPmu8+0G1sPGeiSwHkS+lxzsw+FwyiX6XjWJ6ZNRhcPhvNYxdkP6ZFThcDivdaXdkn7Par7rSruB9bCxHnGsh431sPmtHo2NjdA0DaFQqGQBn+G+QNlm/Xa6zrcrss367XSdb5dkmxzMywDDethYjwTWI4n3nxwTOZEe7CUZ8A3DgK7rRR1Dtlmmna5j7IZss0w7XVfaLdkmo/KyYWY9bKxHHOthYz1sfq5HKQM+w30Bci3n5UmAybWcl0cBJtes314EGNbDxnrIN2E97DcxocLD2yCIHMoW7KVwOAxN02CaJrq7u4syhlzLR3nRMOdaPsqrhjnXLNNeNMysh431iGM9bKyHrRzqIVd88TrgM9znyek63UUNME7X6S5ygHG6nFcxAwzrYWM95MZZD3vjJlR4O7cAkRO5gr0UCoWgqiq6urpcb9CcrgtdzIbZ6brQxW6YnS4fVcyGmfWwsR5xrIeN9bCVUz1KEfAZ7vMhTGhGxPFyXkUJME6Di1SkAJPvOt3FCDBOg6TEethYDznowVuP5GBvwsOlB4lycBrspUAggLq6OlcbNKeNmVSMhtlpoywVq2HOd13oYjTMrIeN9YhjPWysh60c6+F1wGe4d0qYUCAgEmHA6TrdrgaYfIOL5HKAyTe4SG4GmHyDpMR62FgPOfjBV4+UYK9o4KGe/CLfYC/V1ta61qDl25hJbjbM+TbKktsNc76NsuRmw8x62FiPONbDxnrYyrkeXgZ8dnxOmCbUxIRUhlblOLhIrgSYQoOL5FKAKTS4SG4EmEKDpMR62FiPhEFUjz7BXuFhnvyh0GAvudGgFdqYSW40zIU2ypJbDXOhjbLEesSxHjbWw8Z6xLEeNq8CPru+XJIaZQE17+AiDSjADDS4SAMMMAMNLtJAAsxAg6TEethYj4RBUA8Ge/KrgQZ7aSAN2kAbM2kgDfNAG2VpoA3zQBtlifWIYz1srIeN9YhjPWwDCfjCYW9ckZ2f4nSCqZR7VgsP9lJBAcat4CIVGGDcCi5SIQHGrSApsR421iOhjOvBYE9+5Vawlwpp0NxqzKRCGma3GmWp0IbZrUZZYj3iWA8b62FjPeJYD1shAd80Tcc/s4rs/hQAiplj3dwiNcp5BRi3g4uUZ4BxO7hI+QQYt4OkxHrYWI+EMqwHgz35ldvBXsqnQXO7MZPyaZjdbpSlfBtmtxtlifWIYz1srIeN9YhjPWz5BHzTNBGJRBxvuyI7QAFAgcge8IvcKDsKMMUKLpLDAFOs4CI5CTDFCpIS62FjPRJ8Vg/VjAEiy4GfwZ58qljBXnLSoBWrMZOcNMzFapQlpw1zsRplifWIYz1srIeN9YhjPWxOAr4M9kIIBINBR9utyC5QQIOAkjnge9Qo9xtgih1cpBwBptjBReovUBY7SEqsh431SPBRPUw1GD9eibQPGRjsKc1TTz2FU045BaNGjYKiKFi9enW/z1+/fj0URenztX379gGNo9jBXuqvQSt2Yyb11zAXu1GWcjXMxW6UJdYjjvWwsR421iOO9bD1F/CTg30oFHI8hortBIUa6BvwPW6UMwYYr4KLlCXAeBVcpEyB0qsgKbEeNtYjwUf1KPXxispDd3c3jjzySNx88815vW7Tpk3Ytm2b9TV8+PC831s2JV4FeylTg+ZVYyZlapi9apSlbA2zV42yxHrEsR421sPGesSxHrZMAT892AcCAefbK+JYXbVs2TL86U9/wsaNG1FdXY3p06fjuuuuw0EHHVTwNoUaAEwdCoT9X3jbKMsAE9B74gEG8C64SIkAI8dgqhpU0/AsuEjyvTQjCkUYUE3DsyApsR421iPBJ/WAokIIs6THK/K/k046CSeddFLerxs+fDgaGxsH9N6xWAw9PT0wTdOzYC/JJrCzsxPRaBSRSMSzxkySDXNbWxva2toAALque9IoS7Jhbm9vR1tbG8LhMHp7ez1rlCXWI471sLEeNtYjjvWwyfAejUbR29trPZ5vsAfK6Mz9k08+iYsvvhj/+Mc/sGbNGsRiMZx44ono7u4e0HaTz+ADpWmU4wGmCoowE8GlyrvgIiUCDACopgFT1bwNLgnxS5Dj4QmAp0FSYj1srEeCT+ohFK3kxysanCZNmoTW1lb8x3/8B5555pl+nxuJRNDZ2ZnyJZmmCVVVPQ320pAhQ1BVVYXe3l4IITxtzKRQKISmpibEYjHEYjE0NTV51ihLsmEWQqC3txdVVVWeNsoS6xHHethYDxvrEcd62JLP4Bdyxl4qm67wkUcewbnnnotDDz0URx55JFauXInNmzfj5ZdfHtiGTdNqlIH4WUHPCQEt6d5mzYjmt863S1QzlvT/Rt7rfLtBMQ0rSKaPyTOsh4X1sPmhHhA+OF7RoNLa2ooVK1bg//7v//B///d/GDNmDGbOnIlXXnkl62uWLVuGhoYG62vMmDEpfy6EgK7nWJGmCOQZF2mgH/4XwjTNlA87Ojs781rH2C3Jf/dIJJL3utJuYD1srEcc62FjPWysR5xpmojF7F4zFosVVI+yuSw/XUdHBwBg2LBhWZ8TiURSCmX/AxaJ+3dNqIj/0EyoUCAveY1BKGk/GiESrzOguBosBDQ9Yp2RBICA3otAbB+MQBjxhfuKTzFj0IwYDC0IoQag6REEYvviY/LqzKAwEdB7IRQVRiAMxdSh6RFAmBCqsxkiXRgE6yGxHpbS18MEhGF9GpvzeNWH9x+GUHk46KCDUm5vmz59Ot577z3cdNNNuOuuuzK+ZvHixVi0aJH1fWdnJ8aMGQNVVVFdXZ3SnBVy1qEQ6fdIdnd3W7/zvToLlHzPaktLCwCgra0N7e3tnp4FSr5ntba21rrk1cvLbVkPG+sRx3rYWA8b6xGXfI+9vPJNfuAQDofzqkdZhnvTNLFw4UJ87nOfw2GHHZb1ecuWLcPSpUv7PK4gfsZLSQR7ARWKogDQ7HtahZHWtMebY9U0AMW9RlkxDUBRYKohqPJSWy0ERRjQjJg3lx8nLnc2tSAURYUiTAgtCJgGNDMGoWjFvxRbxGcCF2oAQtWgChNQVJhaEKowIcyYJyGK9ZBjYD0sPqiHIgzrYwxnx6u01xd1dDTYHH300fj73/+e9c/D4XDGy+6DwaB1Sb6XAT/T5EfJ91ACxW/Qsk1GJe9p9aphzjQZVfI9rV40zKyHjfWIYz1srIeN9Yjrb/K85IDvVFmG+4svvhhvvPFGv80HkP3sQixQhZCiwlQCGc/+pZ6lS5yhFCZUYaBz6ASYAe/vJSSiyqXqETS0vw1DCwJK6gcaGY9XaWI64z05t2HDBrS2thb8ei8Dfn+zGnvVoPU3y3TypFXFbpizzTKdPmlVMRtm1sPGesSxHjbWw8Z6xPUX7JMn2ZPPcaLswv2CBQvw0EMP4amnnsLo0aP7fW62swsBIwoRrs06OZhQ45NUaUYUhqLGzxSaACBgBsIwEhNrERF5RSSCffrVCpmOV31w0r2K0dXVhXfffdf6/oMPPsCGDRswbNgw7Lfffli8eDG2bt2K3/3udwCA5cuXY9y4cTj00EPR29uL3/zmN3jiiSfw2GOPDWgcXgR8J8sVFbtBc7J8lBcNc67lo7xomFkPG+sRx3rYWA8b6xHnZLm75IDvdC6Csun4hBBYsGABHnjgATzxxBMYN25c4dtysJxXpnW+iYj8iMcrkl566SVMnjwZkydPBgAsWrQIkydPxpIlSwAA27Ztw+bNm63nR6NRXHrppTj88MMxY8YMvPbaa3j88cfxhS98YcBjkQFfURREo1FXJ9nLZx3iTOsYuyGfdaEzrSvtFqfrQmdbV9oNrIeN9YhjPWysh431iMtnHXs5i75TZXPm/uKLL8a9996LBx98EEOGDMH27dsBAA0NDaiuzu9MuhEIQ3Nwj2zyOt+GGuDZLyLyreTjVfL3VFlmzpzZ76V7K1euTPn+8ssvx+WXX1608RTjDH4+jZnk9hmYfBplqRhnxJw2ylIxzoixHjbWI471sLEeNtYjLp9gLwUCAQSDziazLpu0euutt6KjowMzZ85Ea2ur9bVq1aoCtub8/lP7jFgM4LJTRORjPINPfuTmGfxCGjPJrTMwhTTKkptnxPJtlCU3z4ixHjbWI471sLEeNtYjrpBgLzkdb9mEeyFExq9zzz236O8db5iDXFOaiHyPAZ/8yI2AP5DGTBpogzaQRllyo2EutFGW3GiYWQ8b6xHHethYDxvrETeQYJ+Psgn3pSbUIAQvyyeiMsCAT340kIAfi8UG3JhJhTZobjTK0kAa5oE2ytJAGmY3GmWJ9YhjPWysh431iBsM9fAi2AMM9/lhuCeiMpEc8BUzVurhEAEoLOCbpondu3e70phJ+TZobjbKUiENs1uNslRIw+xmoyyxHnGsh431sLEeceVcD6+CPcBwT0Q0aKXMGULkE/kEfMMwoOs6AoGA60syOW3QitEoS/k0zG43ylI+DXMxGmWJ9YhjPWysh431iCvHengZ7AGGeyKiQU3OGULkJ04Cvq7riEajUBQFjY2Nrq+1DORu0IrZKEtOGuZiNcqSk4a5mI2yxHrEsR421sPGesSVUz28DvYAwz0R0aAnVIZ78p/+An5ysNc0rSiNmZStQfOiUZb6a5iL3ShL/TXMXjTKEusRx3rYWA8b6xHn93oIIUoS7AGGeyIiIiqRTAE/OdiHw+GiNmZSeoPmZaMsZWqYvWqUpUwNs5eNssR6xLEeNtbDxnrE+bEe3d3dJTtjL3n7bkRERERJZMCPRCKIRCIpjwHxMyBekM1oZ2cnOjs7oSiKZ42yJBvmtrY2bNu2DQA8a5Ql2TC3t7dj586d1ri8apQl1iOO9bCxHjbWI85v9dizZw90XYcQAuFw2PNgD/DMPREREZWYqqoIBu3bR4LBoKeNmVRbW2v9fzgc9rRRlkKhkPXBRvqYvKKqKurr663v6+vrWY8MY/IK62FjPWysR5wf66GqakmCPcBwT0RERCWWfCl+PsvkuUle2qooCqqqqtDb25vXOsZu2bt3L3p7e1FVVQVFUfJeV9oN0WgU7e3tCAaDCAaDaG9vz2tdaTewHjbWw8Z6xLEeNr/VQ1EU69L8UmC4JyIiopJJDvZVVVVWkxiNRmEYhidjSL9ntampKa91jN2SfM9qU1NT3utKuyH5ntXm5mY0Nzfnta60G1gPG+thYz3iWA+b3+oxdOhQBINBaJoGXddLEvAZ7omIBj1v7lkmylemyfPSJ9krdpOYbTIqp+sYuyXTZFT5rCvthkyTUeWzrrQbWA8b62FjPeJYD5sf6yFvL5MT6ZUi4DPcExENZkJA00tzaRhRf/qbFT854Ou6jlgsVpQx5Jpl2quGub9Zpr1qmPubZdqrhpn1sLEeNtYjjvWwlUM95IR6Xgd8hnsiosFKCAT0HijC2/vfiHJxstxdcsDfvXu36w2a0+Wjit0wO1k+qtgNs5Plo4rdMLMeNtbDxnrEsR62cqpHKQI+wz0R0WCUFOz1QFWpR0NkyWcde0VRoGkaAoGAqw1avutCF6thzmdd6GI1zPmsC12shpn1sLEeNtYjjvWwlWM9vA74DPeOCSimNxP7EBENSEqwrwYUHurJH/IJ9pKqqmhsbHStQcu3MZPcbpjzaZQltxvmfBplye2GmfWwsR421iOO9bCVcz28DPjs+Jyw7lnlpFRE5HNpwV6oWqlHRASgsGAvudWgFdqYSW41zIU0ypJbDXMhjbLEethYDxvrEcd62FgPm1cBn+E+l6RGWShskonIxxjsyacGEuylgTZoA23MpIE2zANplKWBNswDaZQl1sPGethYjzjWw8Z62LwI+JUZ7p1OLpV+z6qiFHdcRESFYrAnn3Ij2EuFNmhuNWZSoQ2zG42yVGjD7EajLLEeNtbDxnrEsR421sNWaMB3umpMRYb7gN6b+/553rNKROWCwZ58ys1gL+XboLndmEn5NsxuNspSvg2zm42yxHrYWA8b6xHHethYD1u+AT8SiTj+QKQiE6tQ1HgjnC3gs1EmIr8RWeb84PGKfKoYwV5y2qAVqzGTnDbMxWiUJacNczEaZYn1sLEeNtYjjvWwsR42pwE/EolA13XHP4OKDPdGIJw94LNRJiIfUoTR95YiHq/Ip4oZ7KVcDVqxGzMpV8NczEZZytUwF7NRllgPG+thYz3iWA8b62HLFfBlsA8EAggGg462WZHhHlDijXB6wGejTES+paTeUsTjFfmMSFxd4kWwl7I1aF41ZlK2htmLRlnK1jB70ShLrIeN9bCxHnGsh431sGUL+MnBPhwOO95eoBiDLAtKPOAH9B4E9B7ogSpoRpSNMhFl1IRtOCWwMuWxv+jnoh2tnry/UDVAmDxekW9Fo1FPg70kG7T29na0tbWhqakJnZ2dnjVmkmyGOzs7rce8apQl2TC3tbWhvb0d9fX1aG9v96RRllgPG+thYz3iWA8b62GT4V3XdeuxQoI9ULFn7hOU5DP4vWyUicjX7FuKeLwif5JnHbwK9pJs0AKBgHUGxsvGTEo+I+Z1oyzJhlmeAQsEAp41yhLrYWM9bKxHHOthYz1syWfwCw32QKWHeyIiIiIiIqJBoLLDfdo69jln0SciKiFNj/B4Rb4mzzLks2yPG+Q9krquW2dc8lnH2C3J96wWsq60G+QZMHlGTNf1vNaVdgPrYWM9bKxHHOthYz1syffY57NMXrrKDfd9JqMKZJ5kj4jIBxTT4PGKfC0UCiEQCCAUCkEI4VnAT5/8KBwO57WOsVvSJ6PKd11pN6RPRhUOh/NaV9oNrIeN9bCxHnGsh431sKVPnud0mbxMKjTcZ5llWskyiz4RUcmJ+Bl7Hq/IpxRFAQBPA362WY2drmPslmyzTHvZMGebZdrputJuYD1srIeN9YhjPWyshy3brPiFBvyKDPf2pa0ZJqNiw0xEPiQUDVDSDtk8XpFPeRHwcy1X5FWDlmv5KC8a5lzLR3nRMLMeNtbDxnrEsR421sOWa7m75IAfi8UcbbMiw33OWabZMBOR3yTOimZ6nMcr8qNiBnyn6xAXu0Fzui50MRtmp+tCF7NhZj1srIeN9YhjPWysh83pOvYy4Dv9GVRkuE+5tDWbtIYZwruJHYiI8sKATwlPPfUUTjnlFIwaNQqKomD16tU5X7N+/Xp85jOfQTgcxgEHHICVK1e6Np5iBHynjZlUrAbNaaMsFaNhdtooS8VomFkPG+thYz3iWA8b62FzGuylfJaXrchw3+fS1qzPS26YewEhijsuIqJCMeATgO7ubhx55JG4+eabHT3/gw8+wMknn4zjjz8eGzZswMKFC/Htb38bjz76qGtjcjPg59uYSW43aPk2ypKbDXO+jbLkZsPMethYDxvrEcd62FgPW77BXgoGg46eV5nhPh9JDbMi2CwTkY8x4Fe8k046CT/+8Y/x5S9/2dHzV6xYgXHjxuFnP/sZDj74YCxYsABf+9rXcNNNN7k6LjcCfqGNmeRWg1Zooyy50TAX2ihLbjTMrIeN9bCxHnGsh431sBUa7PMRKMpWBxtFgREIQzOcTWRARFQyiYAf0HsQ0HugB6pLPSLyseeeew6zZs1KeWz27NlYuHBh1tdEIpGUmXs7OzsBAEKIfpsuVVURDAYRjUbR29uLUCiUs8kzTdP6QGDXrl3QdR1Dhw4FgIKbq/r6euzevRuffPIJhg4d6vhsCBC/MqKrqwt1dXUIh8MFjyEcDqOmpgZ79uyBruuora11/NpYLIbdu3cjEAigvr4euq4XNAYAaGhoSPlZKNnm9kgjhMDu3btZD7AeyViPONbDVmn1iMViWX8XRqNRGIYBTdMQDAbz/pBCOLyCnOHeMSX3ffpERH6QFvAjvKWIsti+fTtGjBiR8tiIESPQ2dmJnp4eVFf3/XBo2bJlWLp0aZ/Hc4V7IL5cXjAYtGb+DQQC/TZopmnCNE3s27cPqqqirq4OhmHAMAZ2VUp1dTWi0Si6u7sdfcgAwBpzbW0tNE1Db2/vgMagaRpqa2sRjUYhhEAgkLslM00T0WgU4XAYoVAo7/WPM6mrq0M0GkVnZydCoVDOhlkIgWg0ynqA9UjGesSxHrYB18OMAD3bUh6qqxmJqA7f1kPXdZim2Wdc8nFN0/KaHC/97+IEwz0R0WCUEvC7Sz0aGkQWL16MRYsWWd93dnZizJgxaGlpQX19vaNtJJ/N6e8MTDQaRVdXF0477TQ0NDS4Mn4iIioD+7YAG9NuEZt4JlAzujTjcaCjowN//etfEQ6HrbP6yVdQ5HPVQzp5lVwuDPdERIOVdQ9+T6lHQj41cuRI7NixI+WxHTt2oL6+PuNZeyB+iWamewWDwaDj+xhDoZB172JnZ2fG+zBN08SuXbugqioaGhowbNgwh38rIiIqe6EOoCbtlujGIUCdv38XBAIB6/fh3r17sW/fPjQ2NhY050EyTqhHRETWnCFEmRxzzDFYu3ZtymNr1qzBMcccU/T37m+SJDn5ka7reU98REREVGoDncywUAz3RESDnrNJZ6j8dXV1YcOGDdiwYQOA+FJ3GzZswObNmwHEL6k/55xzrOdfeOGFeP/993H55Zdj48aNuOWWW/CHP/wBl1xyiSfjzRTwk2c1Hjp0aN4zKxMREZVSd3d3SYI9wMvyiYiIBo2XXnoJxx9/vPW9vDd+3rx5WLlyJbZt22YFfQAYN24cHn74YVxyySX4+c9/jtGjR+M3v/kNZs+e7dmYZcBva2tDW1sbgPjkQ83NzQAw4MmPiIiIvBKNRtHT0+PKpfiFYLgnIiIaJGbOnNnvjLorV67M+JpXX321iKPKLRQKoampyQr3ch3iQpcrIiIiKgXDMBAOh0sS7AFelk9EREQlZppmykzAnZ2dBS0VREREVGrRaLRkH04z3BMREVHJJN9j39LSgpaWFusefKfr+hIREflBVVUVAoEA2traShLwGe6JiIioJJKDvbwUP3mSvd27dzPgExFR2VAUBUOHDrWWe/U64DPcExENcooZy/0kIo9lCvaSDPi6rvO+eyIiKiuKoqCpqakkAZ/hnohoEFONKDSD4Z78pb9gL4VCIQwdOpRn7omIqOyoqlqSgF9W4f6pp57CKaecglGjRkFRFKxevbrUQyIi8q14sI/C0IKlHgqRxUmwl4LBYL9/TkRE5FelCPhlFe67u7tx5JFH4uabby7NAARn7iWi8mAH+xCEynBP/pBPsJdUtaxaFSIiIovXAb+s1rk/6aSTcNJJJ5XkvRUzBoXhnojKQHKwN7UQAF6WT6VXSLAnIiIqdzLgt7e3o62trai/A/lxuAPynlWh8MdFRP7WN9gTlR6DPRERVTKvzuCX1Zn7fEUiEUQiEev7zs7OxP85n5wn+Z5VheGeiHyMwZ78iMGeiIhoYGfwYzFnV2EO6rS6bNkyNDQ0WF9jxowBAGh6BHAw+y7vWSWicsFgT37EYE9ERGQr5Ax+NBrFnj17nG1/gOPztcWLF6Ojo8P6+uijjwAAijAR0Hv6DfhslImoXPB4RX7EYE9ERNRXPgE/Go2ira0NgYCzC+4H9WX54XAY4XC4z+N6oArhRMDXA9WAoqT8ORtlIvIbxTQAre/nsTxekR8x2BMREWXn5BJ9GeyDwSBqamqcbbcYgy2Wrq4ubNiwARs2bAAAfPDBB9iwYQM2b96c34YUFXqgOuMZfDbKRORPos8tRTxekR8x2BMREeXW3xn85GDf1NQEJe1kdNZtFmuwxfDSSy9h8uTJmDx5MgBg0aJFmDx5MpYsWZL3toSq9Qn4bJSJyK+EovF4Rb7W3d3NYE9ERJSHTAE/PdirqvPIXlaX5c+cORPCwUR4TsmAH9B7EIx1AwAbZSLyJ0WBHqhCwIjweEW+1N3djW3btkFRFAZ7IiIih5Iv0d+5cycAIBQK5R3sgTI7c18MQtVgqpr1vclZ8YnIrxSVxyvyvXA4zGBPRESUB1VVUV9fb31fX1+fd7AHGO6hGlGopmE1zLlm0SciKhXFjPF4Rb6lKAqqqqrQ29uLvXv3lno4REREZSMajaK9vR3BYBDBYBDt7e2OlslLV9HhPvmeVSNQnXWSPSKikhMmNCPG4xX5VmNjI5qamlBfX4/Ozk4GfCIiIgeS77Fvbm5Gc3Ozo2XyMqnYcJ9pMqpMk+wREfmBIkwYWpDHK/KtYDB+m8iQIUMY8ImIiBzINHlef7Po51KR4V4xY1lnmWbDTER+JBQVIu0eex6vyK8Y8ImIiPrX36z46QE/Fos52mZFhnt5aWu2WabZMBOR7yiZD9c8XpFfMeATERFl5mS5u+SAv2fPHkfbrchwn3xpazZ9GmawYSYif2LAJ79iwCciIkqVzzr2MuAHAs5WsK/IcJ9+aWv259kNs6ZHijwqIqLCMeCTXzHgExERxeUT7CVVVdHY2Oho+xUZ7vOR3DArplHq4RARZcWAT37FgE9ERJWukGAvKYri6HnOzu9XuHjDXAXNdDaRARFRqciAH9B7ENB7oAeqSz0kIgDxgA8AnZ2dKd8TERENdgMJ9vlguHdKUSEUrdSjICLKKT3gRzlnCPkEAz4REVUar4I9wHCfH4eXQxARlVpywOecIeQn+QZ8XdeLPiYiIqJi8DLYAwz3RESDln0Pfk+ph0KUwmnA7+7udry2LxERkZ94HewBhnsiokFNzhlC5De5Av7evXvR1dWF2tpaz8dGREQ0EKUI9gDDPRHR4KdwYRTyp2wBf+/evejs7ERdXR00jfPdEBFR+YjFYujo6PA82ANcCo+IiGhQufnmm7H//vujqqoK06ZNwwsvvJD1uStXroSiKClfVVXeXumRvkyeDPb19fU8a09ERGXFNE3s3r27JMEe4Jl7IiKiQWPVqlVYtGgRVqxYgWnTpmH58uWYPXs2Nm3ahOHDh2d8TX19PTZt2mR973QtXTeln8Gvr6/HkCFDEI1GPR8LERFRoSKRCDRNK0mwB3jmnoiIaNC48cYbMX/+fJx33nk45JBDsGLFCtTU1OD222/P+hpFUTBy5Ejra8SIER6OmIiIiNzCcE9ERDQIRKNRvPzyy5g1a5b1mKqqmDVrFp577rmsr+vq6sLYsWMxZswYnHbaaXjzzTe9GG6K5Evxky/RJyIiKifhcBiGYaC9vR2maXr+/gz3REREg0BbWxsMw+hz5n3EiBHYvn17xtccdNBBuP322/Hggw/i7rvvhmmamD59OrZs2ZL1fSKRCDo7O1O+BiI52A8ZMiTlHvzu7u4BbZuIiMhLqqpi6NChiMViJQn4DPdERIOd8P6TYyoPxxxzDM455xxMmjQJM2bMwJ/+9Ce0tLTgV7/6VdbXLFu2DA0NDdbXmDFjCn7/9GAvyYDf1dUFXdcL3j4REZHXgsEgmpubSxLwGe6JiAYxxTQQ0HtLPQzyQHNzMzRNw44dO1Ie37FjB0aOHOloG8FgEJMnT8a7776b9TmLFy9GR0eH9fXRRx8VNN5swV4aMmQI6urqEIvFCto+ERFRqYRCoZIEfIZ7IqJBKh7seyC4zn1FCIVCmDJlCtauXWs9Zpom1q5di2OOOcbRNgzDwOuvv47W1taszwmHw9a98fIrX7mCvVRbW4tgMJj39omIiEqtFAGfHV8+hCj1CIiIHEkO9kYgXOrhkEcWLVqEX//617jzzjvx1ltv4aKLLkJ3dzfOO+88AMA555yDxYsXW8+/5ppr8Nhjj+H999/HK6+8gm9+85v497//jW9/+9tFG6PTYC8FAly1l4iIypPXAZ+/MZ0SJhRhlHoUREQ5JQd7PVANxPaVekjkka9//evYuXMnlixZgu3bt2PSpEl45JFHrEn2Nm/enLLu7u7duzF//nxs374dQ4cOxZQpU/Dss8/ikEMOKcr48g32RERE5U4G/La2NrS3t6OpqSnld7GbGO4dkPesCpU/LiLytz7BXlFKPSTy2IIFC7BgwYKMf7Z+/fqU72+66SbcdNNNHoyKwZ6IiCqXVwGfl+XnkNwoC1Ur9XCIiLJisCe/YrAnIqJKN5BL9IXD28MrMtwrprOZd3nPKhGVCwZ78isGeyIiorhCAr5pmtizZ4+j7VdkuNeMGFQj2u9z+jTKYKNMRP7EYE9+xWBPRESUKp+Ab5om2tvboeu6o21XZLg3tCA0I5o14LNRJiLfEZkP/DxekV8x2BMREWXmJODLYB+LxdDY2OhouxUZ7oUahKGFMgZ8NspE5EeKMPvcUsTjFfkVgz0REVH/+gv4ycG+ubkZwWDQ0TYrMtwDgKmF+gR8NspE5FdCUVNuKeLxivwmFot/+MRgT0RE5EymgJ8e7EOhkOPtVfTabqYW/0FpRhSKMKCaBhtlIvInRbVuKeLxivxoz549UBQFvb29DPZEREQOJS+T19bWBgDQdT3vYA9U8Jl7ydRCMFUNqmkAABtlIvItoQZ5vCLfEkKgt7cXVVVVDPZERER5CIVCaGpqQiwWQywWQ1NTU97BHmC4h2IaVqMMAKrDZfKIiDwnTB6vyPcikQii0f5XpCEiIiKbaZro7Oy0vu/s7HS0TF66ig73yfesxoK1WSfZIyIqOSEQ0Ht5vCLfqq2tRWtrK4LBINra2hjwiYiIHEi+x76lpQUtLS2OlsnLpGLDfabJqDJNskdE5AeKMHi8Il+rra2FqqpoampiwCciInIg0+R5TpbJy6Yyw70ws84yzYaZiPxJgREI83hFvseAT0RElFt/s+KnB3whhKNtVmS4l5e2ZpuMig0zEfmNUDUAPF5ReWDAJyIiys7JcnfJAX/Pnj2OtluRS+HV6DqG79OhoKvf5/WqJnrUfag2exAwFeiqwBdf34RaoyI/EyGqaMFQO0aO3ZPy2Df+vRGx6M6iv3e3ZuKFhvhxKJAh4AOpx6sqM/UYtTfSU/QxEqWTAb+9vR1tbW0FLelDREQ02OSzjr0M+Js3b3a07YpMqdWGCiVLg5ysylRRbSroUQUiav6zFRIReSX5eNXL4xX5BM/gExER2fIJ9lIoFEJjY6Oj7VdkuHcS7CXZMEdUAYPLSRORjzHgkx8x4BMRERUW7KVgMOjoeRUZ7vNVZaoImwoMxdlEBkREpcKAT37EgE9ERJVsIME+Hwz3DoVNFZrgqXsi8j8GfPIjBnwiIqpEXgV7oEIn1CuUxhP3RIOUgZohmxHtbYIeq3dtq8HQHgTDe7Bv737w+rPU+KR6JnpUAZMBnzyw950tQLg95/OCEIhoJrZ1dKPOUBHo54NzHQIxVWDj1XdwMlsiogoSn8h4Y8pj2//wW8SiTSUaUW7dmomehn2IJU2ALCDQpZkwFKDOUNHTvgWFTHPsdHJkhnsiqlihqk9QP+xfaGx+DcFQJ9q3H4NPtsxybftNI5/D0OEvIhoZio62I9G561BEI979UpIBf5fKTybJPxQoqDNUdGkmujSz34BvKAI6b4kjIqIylB7s+/sw2y0M90RUUTRtH4YM3YiG5tdQXbcVqhqDMFUoqg5FMdx9M8WEqkURCu/C8DGPo3nUU9jXtR862o7A3j0TYRpV7r5fBnLOECI/cRLwdUVgn2YiyFviiIiozJQi2ANleM/9zTffjP333x9VVVWYNm0aXnjhhVIPiYh8z0Bt/btoHbcaBxz5vxg1/kHU1n8IYWqIReqhx4YAojiHQyE06LEhiEUaIISKuvr38KkJD+DTR/wcrWP/gpohHwAo7mXzIbPsDvVUAWTA1wTQpZkpZ+h1Jd4UqQKc74aIiMpKqYI9UGZn7letWoVFixZhxYoVmDZtGpYvX47Zs2dj06ZNGD58eKmHR0Q+k3LZfXgPFMWEaQQRiwxBn882FaCh+TXUN72ReWNCIBath6HXWg9V132EsaPvgqJmPuOvKjoAGVgUmEZV4my9CS3Qi6EjXkLj8FcQ7R1Wksv2iUot0xl8IB72NQFUGSp4qz0REZULAWCfZkIoiufBHijgzP28efPw1FNPFWMsOd14442YP38+zjvvPBxyyCFYsWIFampqcPvtt5dkPETkP5q2D43Nr2DsxDsw/rDbMHz0OgRDe2DEqhGLNMDQa5Dp0KfHaqCqUWhaT8avUNUeqFos5TXBcAdCVbuyvkZRY9BjtX3eC1Bh6DWIRephxKoSl+2vxfjDbsV+B/0ODU0boGq9xfkBkSdOOOEELF26tM/ju3fvxgknnFCCEflX8hn8vZqJvYlgX2eoUMCz9kREVD5iqoBZgjP2Ut5n7js6OjBr1iyMHTsW5513HubNm4dPfepTxRhbimg0ipdffhmLFy+2HlNVFbNmzcJzzz1X9PcnIj8zUVv/Puqb3kD90I3QAvEZRQ29CrFYNeAgIAgzCMMMZv1zLZAtbCuJDwwKoUCIIPRYEICAqkVQV/8e6hregxGrQeeuQ9Cx6zB079uvwO1Tqaxfvx6vv/46Xn31Vdxzzz2orY1/yBONRvHkk0+WeHTFoShGwfNWKACqhUBX4nO3ahNQFRMmBKAAqtoDjUGfiKhiqFoPFEXv85im7SvRiHJTVQEFAgEBBGE6aT8dc/r7Ne9wv3r1auzcuRN33XUX7rzzTlx99dWYNWsWzj//fJx22mkIBrM3xwPR1tYGwzAwYsSIlMdHjBiBjRs3ZnxNJBJBJBKxvu/s7CzK2IiotOoa38GocasRDHcAQkU00gAIrdTDypN92b6i6AiGOzBs5D8wZNhb6H3/awB461G5efzxx/Gd73wHn/3sZ/GXv/wF+++/f6mHVFTBYDeCoVjuJ2YQg4J9CCOYuI1ln6qgAREEAZjQMGTYR6hHYdsmIqLyowa6EKranfLYkGFvwdTrSjSi3BQEEcBY9EJDDDHUQM/9IoeCZtTR8wq6k62lpQWLFi3Ca6+9hueffx4HHHAAzj77bIwaNQqXXHIJ3nnnnUI267ply5ahoaHB+hozZkyph0RERdC159PY9uEp6Gg7EoZeg2CoC4FQJxQ1Cvued78TUNUogqFOBELd0GO12LNzMrZ9cCr2dvHMfTlqbW3Fk08+icMPPxxTp07F+vXrSz0kX4pBQQfCCECgARE0IIIABDoQRoxn64mIqIwEYKIGOroRxL4STG83oHfctm0b1qxZgzVr1kDTNHzxi1/E66+/jkMOOQQ//elPcckll7g1TjQ3N0PTNOzYsSPl8R07dmDkyJEZX7N48WIsWrTI+r6zs5MBn2hQUrF39yHYu/sQBIKdqB/2LzQ0v4aq6k+gBHtgmhpMvRqin7P5ihKDqhXyCauwbgPIxDSCECL7oVZRdGiBXiiqAWEG0NP9KexpOxJ7dx8cn8UfALSBzaYvyuYDjsFDUeKhNBwO495778WPf/xjzJkzB1dccUWJR+YvycG+HhHrjEM9IuhEGHsRQg1cXqKSiIioiKqhQ4NAN+JXtLt5Bj+XvMN9LBbDn//8Z9xxxx147LHHcMQRR2DhwoX4xje+gfr6egDAAw88gG9961uuhvtQKIQpU6Zg7dq1OP300wEApmli7dq1WLBgQcbXhMNhhMNh18ZARP6nx+qxa8dnsWvHNFTXbkX9sDdQ3/QmgsG9AAQMIwTTCCP9wqVAaB8MPfu683qsFqaRetuRHh0CPVbX731QgWAXYtHGtEdNaIEIVC0KIRTo0Xp0tB+Ozl2HondfK9y8SUtAoGeAHw5Q/oRI/UDlqquuwsEHH4x58+aVaET+ky3YA/G9sx4R7EEYsfJbtZeIiCqcDPReB/y8w31raytM08SZZ56JF154AZMmTerznOOPPx6NjY0uDC/VokWLMG/ePBx11FE4+uijsXz5cnR3d+O8885z/b2IqNwp6OkejZ7u0fhk6wmoa3gXDU2vo67hPQTDeyGEAkOvgjCDABRAAHt2fgY7PpqdcWvBUDtGjn0k5bF9e8fi7VcvzzqCkWMfxrARLyS+E1DVWHxiPkXA0MPoaDscHbsOR3fHhH7P7hdKrrNq8sSn5z744AO0tLSkPPbVr34VEydOxEsvvVSiURVXLFaLmFrt6Lk6BLo0QANQYwAGwhnPz1dBoFcD9nYcDGHyEn0iosFDoL+TGYHQLtTUfpzy2N5dB0OPDit4m8XWpQoY9QZiJiCgIAggrAp0qQHoJlA9gN9jsVj2q0ST5d1N3nTTTZg7dy6qqrKf4WpsbMQHH3yQ76Zz+vrXv46dO3diyZIl2L59OyZNmoRHHnmkzyR7xcILW4nKkzBDOS/bh1KcPVxRTASCXf1fdl8EMtgbClDDhcI9N3bs2IyPH3rooTj00EM9Ho03hND6vfVF0hVhrWNfa6gAlH5+vwpopoBpVsPgv2MiorKmaj0YMnQTGpr+iUCgG++/+R1kmwJONXr6nPgwjWoYRuYVioLhXdh/4krs2zsWHe2Ho7tzfFFOnPTHhAmIfRBCgUh8yFBlABAmelQBKAqqzMJ+lzn5/QoUEO7PPvvsvAfjpgULFmS9DL+YBASMIjX/ROSdbJftK8EuCOFyeBAKTDMAPVZXtMvuM75tUrCvM1T0lGCdVaJMkoO903Xs+a+XiKicmait/xD1w16PL1cc3AdF0aHH6uDmqdNAoBuB0F40NG9AfdPriEUb0dEW770iPSNQyt8m8UCfCPgwCw74TvBjcAcEBPZpJs/cEw0q8cv2d3w0B+/+83v46J0zsHvnUa6+w64d0/DR22fi3X9+H59s+Q/07hsFr4N9gMG+4tx8883Yf//9UVVVhWnTpuGFF17o9/n3338/Jk6ciKqqKhx++OH461//WpRxFRLsiYioPIWq2tA86klMOPyX2O+guzB0+CtQ1BhikSHQY5nPvrtBjw6BEatBMNiJlk89hXGH/gb7H3w7hg5/EVqgq2jvm0uVqaLaVNCjCvSqxZsLyfv5+cuMdc+qAoR4vx/RoCTMELr2HOT6dqORJkQjTa5vNxsGe1q1ahUWLVqEFStWYNq0aVi+fDlmz56NTZs2Yfjw4X2e/+yzz+LMM8/EsmXL8KUvfQn33nsvTj/9dLzyyis47LDDXBsXgz0R0eCXfNl9Td1mqFoMwlRhxKogRLDP84ePXgeRpVeJRRr6PNbQ/E8oSuZgHAjZwV2IgHVlgKpGUVO3GTVDNmP46MfRtefAkl2278UZ/IoM96bDy+vT71lln0xEfsVgTwBw4403Yv78+dZEsytWrMDDDz+M22+/HVdeeWWf5//85z/HnDlzcNlllwEAfvSjH2HNmjX45S9/iRUrVrgyJgZ7IqLBrO9l9xCAYYQRi9Qj0xWLwgwgENqH5ta/Z9yiourYt3c/6LHalPdpbn0GqhYBst5/LtLuTVdgmmGY0TDkSkUNTf8s6WX7hQb8qMOz/RUZ7vdpJmoV0W/zm94oQ8QbFCIiv2GwJwCIRqN4+eWXsXjxYusxVVUxa9YsPPfccxlf89xzz2HRokUpj82ePRurV692ZUwM9kREg1Ooqg31w95EQ9NrCFXthqKYMI0gYpEhyHXntxDBjGfmpUCoM+ufGXoVTMPZyiypVBh6NQxUQ1F067L9ptbn0Nvdio72I9C562AYel0B285PvgG/VzURUZ3l0IoM96oAujQzaxOcqVHWecc9EZVQtiMQgz1JbW1tMAyjzwoyI0aMwMaNGzO+Zvv27Rmfv3379qzvE4lEEIlErO87OzM3YQz2RESD0+gDVqGu4R2oWgTCDGS97N6vMl+2/28MH/042rYdi/ZtxxV9DE4Dfq8af07Y4e3hFRnuqw0VSpaAz0aZiPxIVwRUBTxeUcktW7YMS5cu7fP49rpa7KqJX0KpmAYCeg+EEoAeqMYupbB/m4ppQBUG7t3vIBiBQs7UEBGR2z6vfYDPah1oRBtUGIiGVPQgDAFny7XlUo9ebG0Ygm5Rbz2mwMR49WMY0NALdybk0xBDNWIIKgHERBDbtf2wbsxUvPmpIwrbnt6DxraNMBUNQnX2s1CNKHqMKAwtBFML9fkzLfFnvYqzD08qMtzvqKtDqLoGAb0H+4QJPVAdL4AQCOg9UBKPdSQVhQ0GUWVrwjacEvhHymN/aZiIdrQW/b01vQdDP3kTiqlDD9bkPF6li+7jwiiVoLm5GZqmYceOHSmP79ixAyNHjsz4mpEjR+b1fABYvHhxyqX8nZ2dGDNmDOT1JXawV6EHqoECgz0REfnTU8ZpeMb4Ig5Q38AR6rM4RH0JDcpuAECPqEUEVch9D3t/V0Vn/zMl52v7f18FJqqwD2GlB0Ko6MRQbNA/h3+a07FVjM/5erfJQK8Z0ZTvk4N9/LGYo+1VZLgHACgK9EA1AnoPAnoP9EAVNCNqNcpOP20hIvJCPNCbPF5RVqFQCFOmTMHatWtx+umnAwBM08TatWuxYMGCjK855phjsHbtWixcuNB6bM2aNTjmmGOyvk84HEY4HO7zuKZHoJhVCOi9DPZERIOcgSA2mZOxyZyMGnTiUPVFfEZ7EqOV91GtdMEQAfSgFjpCfV4bQg/qlA6Y/ZzpNzLMZG8ggCplH8LoyfgaDQZ2iZYMVxAIhBBBtdIFBUCvqMY/jWPwmnksNpmTMo7RS+kBX/5/prP5uVRuuAfSAn4vALBRJiLfMgJhaEaUxyvKatGiRZg3bx6OOuooHH300Vi+fDm6u7ut2fPPOeccfOpTn8KyZcsAAP/1X/+FGTNm4Gc/+xlOPvlk/P73v8dLL72E2267Le/3VoTJYE9EVIH2oR4vml/Ai+YJGKF8hCPU5zBZe9q+bB9V6EGNFbo1GNgn6vEn/QIYWQJ+VITxOe1v1vcCKv4UuwCGkjm+NivbcaL2e6gwrW3GL7vvRlCJISaC2GpOwMvm5/GmMQ2dGObyT2Fg0gN+IcEeqPRwT0RENIh8/etfx86dO7FkyRJs374dkyZNwiOPPGJNmrd582aoqn2bxvTp03Hvvffiqquuwg9+8AN8+tOfxurVq11d456IiCqFgh1iP6wx9sMTxleSLtt/EQ3KLgAKeoS9vN0b5rSsZ++bsK3PY1vFeLSLzLdD7qe8DWiAAoFqdPnmsnuvVXa4T7lntSpxRqyHZ8OIyJc0PQIFgscr6teCBQuyXoa/fv36Po/NnTsXc+fOHfD7xs/Yxy/Ll/82efaeiKgy9XfZfpXSjW6RfSm8gRii7EGPqPXVZfdOJN9jD/S9B9+pyg33aZNRCVWDrmhJ9+CzYSYi/1BMI368Skyox+MV+Y0RCENTA2nz2TDgExFVukyX7Q9RdsOEexP+tosR+Jc5Fe+Lg3152X1/+k6eF1dIwK/QcN832APIMMkeG2Yi8ov4GXser8i/EnMYqxoDPhERZWBftu+2bjTgHn1R7if6TLZgn2mSPUfbc3V0ZULTI9lnmU40zEJR4x8AmEZpBklElEQoGqCkHbJ5vCKfkgFfSazwANHfskVERESVJ1uwl0wtBEMLxVdIMp0thVeR4T7n8lFsmInIb7Kd+eTxinyKAZ+IiCizXMFesgM+w31WKZe2ZpPWMEOY3gyOiChfDPjkUwz4REREqZwGeyke8IPOtj3QwZWl9Etbsz4vuWHuZVNCRP7FgE8+xYBPREQUl2+wl4TKcO+OpIZZEWyWicjHGPDJpxjwiYio0hUa7PN6j6JsdbBRFBiBMORMwEREvsWATz7FgE9ERJXKi2APMNznQeEyU0RUHjhnCPkUAz4REVUar4I9wHBPRDQ4pc8ZQuQT+QV8watPiIiobHkZ7AGGeyKiwSsp4BP5iaOALwQ0PQKAZ/eJiKj8eB3sAYZ7IqLBzZozhMhf+g34QsTnjBAmhMJb4oiIqLyUItgDDPdERBWAk4GSP2UM+EnBXg9UAQr//RIRUflQzFhJgj0ABDx9NyIiIqIkMuAH9J54wAcSwb468QTec09EROVBMQ2opg4jEPY82AM8c09EREQlFg/4VVCEaZ2x5wo1RERUfgRMVS1JsAcY7omIiKjUhIBmRK1vNSPKZfKIiKgsqaZZspVeGO6JiIiodFLusa9OvQefM+UTEVEZEWogsQxxT0kCPsM9ERERlUZasBeqljLJXnwpPCIiovJhBMIlC/gM90REg5xixko9BKK+MgR764+SAn6pLm0kIiIqjBL/vVaCgM9wT0Q0iMXXWWW4J5/pJ9hbT0lMssdL84mIqOwopQn4DPdERINUPNhHYWjBUg+FyOYg2FsUFULhrPlERFSGShDwGe7zIcxSj4CIyBE72IcgVIZ78ol8gr2kKMUfFxERUTF4HPAZ7h1SzBgUhnsiKgPJwb5U66wS9VFIsCciIip3HgZ8hnsH5D2rQuGPi4j8jcGefInBnoiIKplHAb9C06rzyXlS7llluCciH2OwJ19isCciIhpYwHd4BXlFplVNjwAid8DnPatEVC4Y7MmXGOyJiIhsBQR8xTQQ0Hsdbb4iw70iTAT0nn4DPhtlIioXPF6RLzHYExER9ZVHwI8H+x7Ht4dXZLjXA1X9Bnw2ykTkN/EDP49XVCYY7ImIiLJzEPCTg70RCDvabEWGeygq9EB1xoDPRpmI/En0uaWIxyvyJQZ7IiKi3PoJ+MnBXg9UA3C2LGxlhnsAQtX6BHw2ykTkV0LReLwiX1PMGIM9ERFRPjIE/D7BXnEW7AEgUMSh+p4M+AG9B8FYNwCwUSYif1IU6IEqBIwIj1fkS5oRs/5tMtgTERE5lAj4Ab0nfhIHKCjYAxV85l4SqgYzqQExOSs+EfmVovJ4Rb5nqhqDPRERUT4UBUbSCRtDC+Ud7AGGe6hGFKppWA1zrln0iYhKRTFjPF5RVrt27cJZZ52F+vp6NDY24vzzz0dXV1e/r5k5cyYURUn5uvDCCwseg6lqUE0DqhEteBtERESVRi53JxQ1cYl+r6Nl8tJV9GX56fesmon7GwJ6T0GXQRARFY0woRkxGIEwj1eU0VlnnYVt27ZhzZo1iMViOO+883DBBRfg3nvv7fd18+fPxzXXXGN9X1NTU9D764EqqIFqiMTvVgC8bYSIiCiHvpPnIaXHy+dquIoN95kmo0q+B58NMxH5iSJMGFqQxyvK6K233sIjjzyCF198EUcddRQA4Be/+AW++MUv4oYbbsCoUaOyvrampgYjR44c+CASa/DKf6MM+ERERP3LNnlenx7PoYq8LF8xY1lnmc40iz4RUakJRYVIu8eexyuSnnvuOTQ2NlrBHgBmzZoFVVXx/PPP9/vae+65B83NzTjssMOwePFi7Nu3b8DjMbUQDC0EzYjyEn0iIqIM+p0VP20WfQjT0TbL5sz9tddei4cffhgbNmxAKBTCnj17Ct6WZsRgaDVZzyZkPCNGRFRKSubPYnkGnwBg+/btGD58eMpjgUAAw4YNw/bt27O+7hvf+AbGjh2LUaNG4Z///CeuuOIKbNq0CX/605+yviYSiSASiVjfd3Z2Znwez+ATERFl5mi5u5RZ9LsdbbdsztxHo1HMnTsXF1100YC3lXxpazZ9zoiBZ8SIyJ94Bn/wuvLKK/tMeJf+tXHjxoK3f8EFF2D27Nk4/PDDcdZZZ+F3v/sdHnjgAbz33ntZX7Ns2TI0NDRYX2PGjMn6XJ7BJyIiSpXXOvZJZ/CdKJsz90uXLgUArFy5csDbSr+0Nfvz7DNimh6B0LjsFBH5E8/gD06XXnopzj333H6fM378eIwcORKffPJJyuO6rmPXrl153U8/bdo0AMC7776LCRMmZHzO4sWLsWjRIuv7zs7OnAEf4Bl8IiKivIK99SIFRiDsaPtlE+4L4fTSwf5YDXNsH1DAcgRERF5hwB98Wlpa0NLSkvN5xxxzDPbs2YOXX34ZU6ZMAQA88cQTME3TCuxObNiwAQDQ2tqa9TnhcBjhsLMmQ2LAJyKiSldQsLdf7ehZZXNZfiHyuXSwP/GGuQq8NJ+I/I6X6Femgw8+GHPmzMH8+fPxwgsv4JlnnsGCBQtwxhlnWDPlb926FRMnTsQLL7wAAHjvvffwox/9CC+//DI+/PBD/PnPf8Y555yDz3/+8zjiiCNcHyMv0Scioko1sGDvXEnDfbHvJVy8eDE6Ojqsr48++qjwwSoqhOJ8jUEiolLhnCGV6Z577sHEiRPxhS98AV/84hdx7LHH4rbbbrP+PBaLYdOmTdZs+KFQCI8//jhOPPFETJw4EZdeeim++tWv4i9/+UvRxsiAT0RElcarYA+U+LJ8p/cSFqqQSwf7xctbiahMpM8ZQoPfsGHDcO+992b98/333x8i6UqOMWPG4Mknn/RiaCnyvkTf4fI/REREfuNlsAdKHO6d3ktIRET5s8/g95R6KEQpnAZ8xYxBYbgnIqIy5HWwB8poQr3Nmzdj165d2Lx5MwzDsCb9OeCAA1BXV1fawRER+ZQ9ZwiRv+QK+KoRhWbEYHKlGiIiKjOlCPZAGYX7JUuW4M4777S+nzx5MgBg3bp1mDlzZolGRURUBhyujUrktWwBPx7sozC0IBT++yUionIiTASMiOfBHiij2fJXrlwJIUSfLwZ7IiKi8pU+yZ4d7EMQKs/aExFRGRECAb23JMEeKKMz90RERDQ4pZ/BN7QQTC0ExTRKOSwiIqK8KMIoWbAHyujMPRERERERERFlxnBPREREJZV8KX7yJfpERETlRCgaFGEioPcAScvPeoXhnoiIiEomOdibiS8Z8BUzVurhEREROaco0ANVJQv4DPdERIMd1wknn0oP9pId8GP890tEROUlcc99KQI+wz0R0SAWX2e1t9TDIOojW7CX4gE/CIXhnoiIyoxQtZIEfIZ7IqJBKh7seyC4Tjj5TK5gLwk1yH+/RERUlkoR8PkbMx8lmBSBiKgQycHeCIRLPRwii9Ngb2G4JyKiMuV1wOdvTKeECUVwvV0i8r/kYK8HqgF4v84qUSZ5B3siIqIy52XAZ7h3wL5nlQ0yEflbn2Cv8LhF/sBgT0RElcqrgM9wn0NyoyxUrdTDISLKisGe/IrBnoiIKt3AAr6z51ZkuHe6bi7vWSWicsFgT37FYE9ERBRXUMAXApoecbT9igz3mhGDakT7fQ7vWSWicsFgT37FYE9ERJQqr4AvBAJ6j+NlYSsy3BtaEJoRzRrw2SgTke9kOajzeEV+xWBPRESUmaOAnxTs9UCVo+1WZLgXahCGFsoY8NkoE5EfKcLsc0sRj1fkVwz2RERE/es34KcE+2rHy8JWZLgHAFML9Qn4bJSJyK+EoqbcUsTjFflO4uoSBnsiIiJnMgb8tGCfz6TugSKO1fdk06EZUSjCgGoabJSJyJ8U1bqliMcr8qOA3gtND0A1DQZ7IiIih2TAD+g98YAPFBTsgQo+cy+ZWgimqkE1DQBgo0xEviXUII9X5GuqacBUNQZ7IiKiPMQDflX8NszEPfaFLMNe8eFeMQ2rUQYA1eEyeUREnhMmj1fke6ppQEn6d0pEREQ5CAEtaS44zYg6WyYvTUWH++R7VmPB2qyT7BERlZwQCOi9PF6RbxlaELFgLYSixu8VZMAnIiLKLe0ee8fL5GVQseE+02RUmSbZIyLyA0UYPF6Rrwk1CChK/B5BBnwiIqLcMkye52iZvCwqM9wnflCZJqNiw0xE/qTACIR5vCL/Y8AnIiLKrZ9Z8fsEfDgL+BU5W35A74UI1WadjCp5Fv3k74mocrWjFSv1xSV7//gBn8crKhOJgC9n/i1kxl8iIqJBy8Fyd8mz6Gt6xNFmK/LMvZPlo3hGjIjKBY9X5Es8g09ERNRXHuvYJ5/Bd6Iiw336pa3ZJDfMCmelJiIfY8AnX2LAJyIisuUR7K2XJJbJc6Iiw32mS1uzsRvmGODwExMiolJgwCdfYsAnIiIqKNhbFGexvULDfX7iDXPQ8eUQRESlwoBPvsSAT0RElWwgwT4PDPcOCTUI4fATEyKiUmLAJ19iwCciokrkUbAHGO7zw3BPRGWCc4ZUnmuvvRbTp09HTU0NGhsbHb1GCIElS5agtbUV1dXVmDVrFt55553iDbKQgJ/H+r5ERES+4mGwBxjuiYgGrZQ5Q2jQi0ajmDt3Li666CLHr/npT3+K//3f/8WKFSvw/PPPo7a2FrNnz0Zvb2/xBppPwBcmFMEz/EREVIY8DvZAha5zT0RUKeScITT4LV26FACwcuVKR88XQmD58uW46qqrcNpppwEAfve732HEiBFYvXo1zjjjjGIN1Qr4Ab0HAb0nY9OjmAYCei+EylaFiIjKTAmCPcAz90REg55QGe6prw8++ADbt2/HrFmzrMcaGhowbdo0PPfcc8UfQD9n8OPBvgdCUT1riIiIiNxRmmAP8Mw9ERFRRdq+fTsAYMSIESmPjxgxwvqzTCKRCCKRiPV9Z2dn/H+EWdAkeYYWgqZHEIjts9bxDei9EIoKQwtCFSZUPZJjK0RENLjEsE+kre1uxKChpzTDcUDVI4AwoelRKBDW7zRXJpB1uGobwz0REZFPXXnllbjuuuv6fc5bb72FiRMnejQiYNmyZdYtAMmCsX0IBgqc/E4IKDARinUlPaRCNXUAQP3u97yZ1FaYKcveCkUDFKX475syBpEyz4BQ1JJM6BtvRmU9ldJcQcF6WFgP+aash6UC6rEWM9MeaUcj2vs8zy/1UE0DqhlfpUhARVB374MIM+ZsWwz3REREPnXppZfi3HPP7fc548ePL2jbI0eOBADs2LEDra2t1uM7duzApEmTsr5u8eLFWLRokfV9Z2cnxowZAwFAoMDGUlEghICaaM5MKPEGUQgoEDBVDZ7cSaioCCQaKFNVYZbifn8FUA0dqhlv2o1gKP6g11QgkLhiQg+EAaUEzTLrYWM9EmNgPSysh80n9ZDLDwvA9SXUnX50znBPRETkUy0tLWhpaSnKtseNG4eRI0di7dq1Vpjv7OzE888/3++M++FwGOFwOMOfKIWfNTJNK9gDgAoBUwh7e4rmeqPUR2LyIygKTFWDahoQwoCphYr7vmlUIwpVCJhaAKppQDOi0APVnp6RU0wDASNqnf0KJMbg6dkw1sPCethYjwTWw+KveqgQwoQCAQjD5Qlhnf1MOaEeERHRILB582Zs2LABmzdvhmEY2LBhAzZs2ICuLvtS94kTJ+KBBx4AACiKgoULF+LHP/4x/vznP+P111/HOeecg1GjRuH000/3buCmCRXxyzpNRYOZOOOiwnB8j+GApc1qbASqE8tIRq0zMV5QjSg0IwpDC8EIVEMPVEMRZrxpFAXe8pCn5MkM9cQYHC1b6CbWw8J62FiPBNbD4rd6GFo4HvChQIGAkri1zEs8c09ENOh580uWSmvJkiW48847re8nT54MAFi3bh1mzpwJANi0aRM6Ojqs51x++eXo7u7GBRdcgD179uDYY4/FI488gqqqtEmMiiUt2Mt7NU0AqjCgwoQQRT4DlGW5InkGTEs0y8U+I5bcKMv3EqrWZ8nAYp4RS2+U5XvlWrbQVayHhfWwsR4JrIfFj/WQYxCKBggjfgbf1D1d0pXhnohoMBMCGmcarwgrV67Muca9SDuboigKrrnmGlxzzTVFHFkWWYJ9fGCqFfDjZz8MCK0IFxvmWIfYq4Y5U6NsDdGjhjlboxz/Q8Wbhpn1sLAeNtYjgfWw+LUeKRMcqgHA1D0P+Lwsn4hosEr6xUPkK/0Fe0lRYSbaFM2IuH+JZY5G2RqqFirqJa/9NcrWUBMNc7Euee23UbaepBT3klfWw8J62FiPBNbDUk71EGrA80v0Ge6JiAajlF88Hl1iTeSEk2AvKSoEVAhFcbdBc9iYWUMuUsPspFG2hlykhtlRo2w9uUgNM+thYT1srEcC62Epx3p4HfAZ7h0T3k3MQEQ0EH3uAeOhnnwin2AvKQoMrcq9Bi3Pxkxyu2HOp1GW3G6Y82qUrRe53DCzHhbWw8Z6JLAelnKuh5cBnx2fE9Y9q5yUioh8rsBfPERFV0iwl9xq0Aa4f7jVMBfSKEtuNcwFNcrWi1kPifWwsR7yxayHxHokvdyjgM9wn0tSIYXCJpmIfIzBnvxqIMFeGmiD5tL+MdCGeSCNsjTQhnlAjbK1EdZDYj1srIfcCOshsR5Jm/Eg4FdmuHc6uVT6PatFXM6BiGhAGOzJr9wI9lKhDZrL+0ehDbMbjbJUaMPsSqNsbYz1kFgPG+shN8Z6SKxH0uYKDPgKnI23IsN9QO/NXVDes0pE5YLBnvzKzWAv5dugFWn/yLdhdrNRlvJtmF1tlK2Nsh4S62FjPeRGWQ+J9UjabJ4BXzF1OP3bl0Vi/fDDD3H++edj3LhxqK6uxoQJE3D11VcjGi3s/pGcBWWjTER+k+2XII9X5FfFCPaS0watyPuH04a5GI2y5LRhLkqjbG2c9ZBYDxvrITfOekisR9LmHQb8eLAXjmd+K4twv3HjRpimiV/96ld48803cdNNN2HFihX4wQ9+UND2jEA4e0HZKBORDynC6HtLEY9X5FfFDPZSrgbNo/0jV8NczEZZytUwF7VRtt6E9ZBYDxvrId+E9ZBYj6S3yRHw7WCvQMDZGAJuD7IY5syZgzlz5ljfjx8/Hps2bcKtt96KG264oYAtxgsa0HsQ0HvsorFRJiLfUhDQe6ErKo9X5FOJD5+8CPaS4o/f57IJ1hLNsvzei0ZZkg1z8s8CiuJNoyyxHhbWw8Z6JLAeFtbDJtQAkAjxMPX490gL9moAgLMr1svizH0mHR0dGDZsWOEb6POJjc5GmYh8S6gaj1fkayoEYBreBXvJJ7/P08+IedkoS+lnxOTPwpNGWWI9LKyHjfVIYD0srIct/Qx+32DvXFmcuU/37rvv4he/+EXOs/aRSASRSMT6vrOzM/4/wrQuvzC0EDQ9gkCsBwCgB6oAIMPlGSYgTKh6BEREXlL1CCBMGFoQmhHLfbxK53SFEKIBUhNn7z0L9lLKGZheACjJB1/pZ8S8bJSl1DNivd42yhLrYWE9bKxHAuthYT1sKWfwgYKCPVDicH/llVfiuuuu6/c5b731FiZOnGh9v3XrVsyZMwdz587F/Pnz+33tsmXLsHTp0j6PB2P7EAwk7u8QAgrMlD/L+A8qcT9I/e73itOwCBNKogEXilqa2fmFiN/XK78t4B+UG5LvORGKVpolCFkPC+shx1DCeggTmh6BBjg7XqUxEx8GEBEREdHgVdJwf+mll+Lcc8/t9znjx4+3/v/jjz/G8ccfj+nTp+O2227Luf3Fixdj0aJF1vednZ0YM2YMBOKfhkCY9lkGKFARD/qmyBweFAiYqga372ZQzBg0IwZDCwKA9f9CDbr6Pv0SJgJGBEJRYWhBBPQIIASMQBhwvPjCgAcBTY8kLoUJQzNiUM1o/Oykh2GO9bAGwXpIpa6HokBLTKcCODtepQy/+CMkAgCYUKHChCqM+G9Xr44VKfdIVkEzoqn3UHok+dJWoO89rV5IvmfV0EII6L0p97R6gvWwsB421iOB9bCwHrbkS/EB9LkH36mShvuWlha0tLQ4eu7WrVtx/PHHY8qUKbjjjjugqrkbhnA4jHA4nOFPFAAiKdhrgKrCFPGGRIUJUyhApvdQ4ve9ukU1otBMHUYgbO9Mihrf2RTVkx1MMY14cElcGgNFga5oCOg90IyoNzuY3LEgoAdr4mNRg/FLZIyIZzsY65HAelj8UA/FRFKwz+N4ZW+hqOMjAuIfOkHVYJoKVBjeBfwMkx/JfdTLBi3bPateNsyZJqPKNGlVUbEeFtbDxnoksB4W1sOW8R77DJPsOVEWE+pt3boVM2fOxH777YcbbrgBO3fuxPbt27F9+/YCtxhviuP/p9lNsaLG7xME4hMCmcW9TzXbjuV0HUo3ZJuV0uk6lK7INiul03UoXcJ6JLAeFr/UQzPi94CZUEt2vCLKLfFvU1Xjv1uB+O/aYs75wOOVxS/HK9YjjvWwsR4JrIeF9bBlmzwv1zJ52ZRFuF+zZg3effddrF27FqNHj0Zra6v1VQg17QxYCo8a5lyzUnqxg+VabsKTHSzXchMe7WCsh3wT1kPyVz0Sl2mlnwFlwCe/8iLg83hl8dfxivVgPWysh3wT1kNiPZLeJses+CkBH87GUBbh/txzz4UQIuNXoTIGe6nIDbPT5SaKuYM5XUeyqDuY03Uki7yDsR5y46yH5Ld6GFo4+6XNDPjkV8UM+DxeWfx2vGI9WA+J9ZAbZz0k1iNp8w6Xu7MDvjNlEe7dFr8vMMdfPb1hdqkpyXcdyWLsYE53LKkoO5jTHcsadHF2MNZDbpT1kMqzHgz45FPFCPg8XlnK83jFekish431kINmPaTBXI9817GPB3xnKjLcO/5rpzTM5oCbknx3LMnNHSzfHUtydQfLd8eyBu/uDsZ6yI2xHlJ514MBn3zKzYDP45WlvI9XrIfEethYDzl41kMajPXIN9hLAs7GW6HhPg9JDXN8QoPCClrojiW5sYMVumNJruxghe5Ykks7GOshN8J6SIOjHgz45FNuBHweryyD43jFekish431SGA9LIOpHoUG+3ww3DuhqPFZqgFoRiTvgg50x5IGsoMNdMeSBrSDDXTHkga4g7Ee8sWshzS46sGATz41kIDP45VlcB2vWA+J9bCxHgmsh2Uw1MOLYA8w3DunqBBQIRQlr4K6tWNJhexgbu1YUkE7mFs7llTgDsZ6yBexHtLgrEdawAcDPvlEIQE/sRwkj1eD9XjFekish431SGA9LOVcD6+CPcBwnx9FgaFVOS6o2zuWlM8O5vaOJeW1g7m9Y0l57mCsh3wy62ENeVDXIzngF3GdWKJ85RPwhQkFJhQheLwa1Mcr1kNiPWysRwLrYSnHengZ7AGG+/w5LGixdizJyQ5WrB1LcrSDFWvHklgPC+thYz0SkgI+ka84CfjCjE9mC8DQwjxeDfrjFeshsR421iOB9bCUUz28DvYAw31hchS02DuW1N8OVuwdS+p3Byv2jiWxHhbWw8Z6JChqfPlPIr/pL+ALM/4YkGiKeLyqjOMV6yGxHjbWI4H1sJRDPUoR7AGG+8JlKahXO5aUaQfzaseSMu5gXu1YEuthYT1srIfEQz35VKaAnxTsTaiAUuR/vzxeWXxxvGI9LKyHjfVIYD0sfq6HIoySBHsA8PbdBptEQQN6DwJ6D0xVg2oanu1YknwvzYhCEQZU0/Bsx5LkDiZ/FgA8DC4JrIeF9bCxHkQ+p6owzfjkjzLUA4iHfkUBvJgzgscriy+OV6yHhfWwsR4JrIfFb/XQjEhirpjSBHuAp3MGLlFQAFBNA6aqebpjSaYWsnZuAJ7uWFJ8B6uCIszEjlXlfXBhPSysh431IPI51V5yFkicsVc9blF4vLL44njFelhYDxvrkcB6WPxVD5EI9ihJsAcY7l2hmrGk/zfyXvfQDYppWDtW+pg8IwS0pHtvNCPqbJkKl7EeCayHhfUg8rmkyfMAxP/fyTJ5LuPxKsEnxyvWI4H1sLAeNtYjwYf1UADALM0yxAz3A5R8j0ssWJv3uoduSL7HJRaszXsdSlek3eOScxbLImE9ElgPC+tB5HMp99hrzpfJcxmPVwk+OV6xHgmsh4X1sLEeCT6rh6kGIRLxWoVRkoDPcD8AfSavyHPdQzdkmrwin3UoXZFh8oq81qF0CeuRwHpYWA8in0sL9lDV1En2YPJ4VYHHK9YjgfWwsB421iPBx/UwSxjwGe4LlHVWSg93sP5mpfRsB+tnVkovdzDWI4H1sN+K9bAo8P5SPfLetddei+nTp6OmpgaNjY2OXnPuuedCUZSUrzlz5hR3oFKmYC8lBXylyAGfx6sEnxyvWI8E1sN+K9bDwnok+L4eKkxFfkjtbcBnuC9AzuUmPNjBnCw3UfQdzMFyE17sYKxHAuthvwXrYYmvs0qVIBqNYu7cubjooovyet2cOXOwbds26+u+++4r0giT9BfspaRJ9jSjl8erCjhesR4JrIf9FqyHhfVIKJt6lCbgcym8PKlGFKqp515uIm2ZCjeXZMhnHcnkZSqSvx+wPNaRTF+mws2ZNB2v68l62E9lPSyDvR7xYC+8WEiMfGDp0qUAgJUrV+b1unA4jJEjRxZhRFk4CfaSokIIASWxT/F4NXiPV6xHAuthb5r1sLAeCWVXj/hUsaowoMKI5/sirwTDM/f5ECZUM+Z8HckifIKWz44luf4JWh47lvWSInyC5njHklgP+yWsh2Ww1sMO9goEuOQeZbd+/XoMHz4cBx10EC666CK0t7cX783yCfaSosLQwjxeYfAer1iPBNbD3iTrYWE9Esq2Ht6ewWe4d0gRBhQImGowv0+fXNzBCtmxJNd2sAJ2LOulLu5gee9YEuthv5T1sAy2eqQE+xKts0rlYc6cOfjd736HtWvX4rrrrsOTTz6Jk046CYaRfV+MRCLo7OxM+XKkkGAvX8rjlWWwHa9YjwTWw94U62FhPRLKvh7eBXyGeweSG+WCLitxYQcbyI4lDXgHG8COZW3ChR2s4B1LYj3sTbAelsFSDwb7weXKK6/sM+Fd+tfGjRsL3v4ZZ5yBU089FYcffjhOP/10PPTQQ3jxxRexfv36rK9ZtmwZGhoarK8xY8bkfqMBBHtrEzxeWQbL8Yr1SGA97E2wHhbWI2HQ1MObgF+h4d75DzO5UYYygB/XAHYwN3YsqeAdzIUdy9rUAHawAe9YEuthb4r1sJR7PRjsB59LL70Ub731Vr9f48ePd+39xo8fj+bmZrz77rtZn7N48WJ0dHRYXx999FH/G3Uh2Fub4vHKUu7HK9YjgfWwX8p6WFiPhEFXj4EEfGfPrcjuT4UAhJkzrKc0yooGZaDTUhUwyYWbO5aU9yQXLu5Y1iYLmOTCtR1LYj3sTbIeFj/Ww9DCOV/DYD84tbS0oKWlxbP327JlC9rb29Ha2pr1OeFwGOFw7n+TAFwN9tYmebyy+PF4xXqwHqxH0iZZDwvrkVDIJHumGc+vDlTomfv4DxQi+ycgRWuU8/gErRg7luT4E7Qi7FjWpvP4BM31HUtiPexNsx4Wv9Uj1zJgDPYEAJs3b8aGDRuwefNmGIaBDRs2YMOGDejq6rKeM3HiRDzwwAMAgK6uLlx22WX4xz/+gQ8//BBr167FaaedhgMOOACzZ88e+ICKEOytTfN4ZfHb8Yr1YD0AsB7Jm2Y9LKxHQj5n8E0z/hyHKjLcm4lVn7MF/KI3yg52sGLuWFLOHayIO5b1Fg52sKLtWBLrYb8F62HxVz0EFJilOV5R2ViyZAkmT56Mq6++Gl1dXZg8eTImT56Ml156yXrOpk2b0NHRAQDQNA3//Oc/ceqpp+LAAw/E+eefjylTpuDpp592fmY+myIGe+steLyy+Ot4xXqwHgmsh/0WrIeF9UhwEvCTgr3Mr7lUaCeowoQGFQZUYcTvYEhcou9Zo9zPJTJe7FhS1ktkPNixpP4ukSn6jiWxHhbWw+aXehhaGKoZgwoTplC8P15RWVi5cmXONe5FUgNTXV2NRx991P2BeBDsrbfi8cril+MV6xHHeiSwHhbWw8Z6JPR3iX5ysFc0OD0nX5Fn7gEAajzgA/YZfM8b5QyfoHm5Y0l9PkHzcMeSMn2C5tmOJbEeFtbD5pd6iLQrjhjsyW8UGJ4Ge4nHK5tfjlesRxzrkcB6WFgPG+uRkOkMfnqwz2NS98ruCFUVpgnrDD4A7xvltE/QAHi6Y0nJn6DJT9G82rGk5E/QgrFuAPBux5JYDwvrYfNDPaCoMIWACrN0xyuifiiA58Fe4vHK5ofjFethYz0SWA8L62FjPRLSzuBL+QZ7oJLP3Euqap0RA+L/sD2nKDCS/gEZWsjTHUsy1WDS/2veBpcEoWowk943eUyeYT0srIfND/WA4oPjFVEOAoqnwd56Xx6vLH44XrEeNtYjgfWwsB421iNBUWEmRXMTat7BHmC4T13HHrln0S/OGAwE9F4IRU1cItOb1zqUrkhcCgPEdyzVNPJbh9IlqhGFahrWDpZrFstiYD1srEeCT+qhCKPkxyui/ggoUCCgmLrn783jVYJPjlesRwLrYWE9bKxHAuthM02oSWvZqzD7n0U/i4oO9+n3rKbfg+/NGFLvcck1i2VRpN3jYgSqnS1T4bLke1yMxM/CyTIVbmI9bKxHgk/qAWGW/HhF1B8z8W+zFAGfx6sEnxyvWI8E1sPCethYjwTWw5Z2j73jZfIyqKibNeUswdFILxQYUAAIAAIaAPmPyIQKkfg/BfLzDyXxWMywHxv4gEwE9F7oigojEAZi++Ljg4CmR6CIHuiBqoIuychjEND0CExhxt9L77X+RDF1aEYPDC0IUeTLUxQzBs2IIaIFIVQFQAwAEBECAb0bQumJ/4wcLgNRENYj6b1Yj8QgfFEP1YhAGBHHx6t00Uh83MLrT6GpIti/W6MA4vtp39+xhXHyu5fHK2sQvjhesR7WIFgPifVIei/WIzGIQVoPE2Y0MYdBHq/J3MulPh7/HZu7l1NEBXV7W7ZswZgxY0o9DCKikvjoo48wevToUg+DBhn+biUiIvJGrl6uosK9aZr4+OOPMWTIECglmDAiX52dnRgzZgw++ugj1NfXl3o4RVMJf89K+DsClfH3LMe/oxACe/fuxahRo6CWYKIzGtzK7XdrsZTjscHv+DMtDv5ci4M/1+LgzzXOaS9XUZflq6palmet6uvrK+IfcyX8PSvh7whUxt+z3P6ODQ0NpR4CDVLl+ru1WMrt2FAO+DMtDv5ci4M/1+Lgz9VZL8dTOERERERERERljuGeiIiIiIiIqMwx3PtYOBzG1VdfjXA4XOqhFFUl/D0r4e8IVMbfsxL+jkSUPx4b3MefaXHw51oc/LkWB3+u+amoCfWIiIiIiIiIBiOeuSciIiIiIiIqcwz3RERERERERGWO4Z6IiIiIiIiozDHcl4EPP/wQ559/PsaNG4fq6mpMmDABV199NaLRaKmH5rprr70W06dPR01NDRobG0s9HNfcfPPN2H///VFVVYVp06bhhRdeKPWQXPXUU0/hlFNOwahRo6AoClavXl3qIblu2bJlmDp1KoYMGYLhw4fj9NNPx6ZNm0o9LCLymUr6ne21wdojeG2w9yReq4QeqBTYdxWG4b4MbNy4EaZp4le/+hXefPNN3HTTTVixYgV+8IMflHporotGo5g7dy4uuuiiUg/FNatWrcKiRYtw9dVX45VXXsGRRx6J2bNn45NPPin10FzT3d2NI488EjfffHOph1I0Tz75JC6++GL84x//wJo1axCLxXDiiSeiu7u71EMjIh+ppN/ZXhuMPYLXKqEn8Vol9EClwL6rMJwtv0xdf/31uPXWW/H++++XeihFsXLlSixcuBB79uwp9VAGbNq0aZg6dSp++ctfAgBM08SYMWPwve99D1deeWWJR+c+RVHwwAMP4PTTTy/1UIpq586dGD58OJ588kl8/vOfL/VwiMjHBvvvbK8Nph7Ba5XWk3itUnqgUmDf5QzP3Jepjo4ODBs2rNTDoByi0ShefvllzJo1y3pMVVXMmjULzz33XAlHRgPV0dEBANwPiSgn/s4mP2BPQuWMfZczDPdl6N1338UvfvELfOc73yn1UCiHtrY2GIaBESNGpDw+YsQIbN++vUSjooEyTRMLFy7E5z73ORx22GGlHg4R+Rh/Z5NfsCehcsW+yzmG+xK68soroShKv18bN25Mec3WrVsxZ84czJ07F/Pnzy/RyPNTyN+TyM8uvvhivPHGG/j9739f6qEQkUcq5Xe219gjEFEu7LucC5R6AJXs0ksvxbnnntvvc8aPH2/9/8cff4zjjz8e06dPx2233Vbk0bkn37/nYNLc3AxN07Bjx46Ux3fs2IGRI0eWaFQ0EAsWLMBDDz2Ep556CqNHjy71cIjII5XyO9trldwjeI09CZUj9l35YbgvoZaWFrS0tDh67tatW3H88cdjypQpuOOOO6Cq5XPRRT5/z8EmFAphypQpWLt2rTW5immaWLt2LRYsWFDawVFehBD43ve+hwceeADr16/HuHHjSj0kIvJQpfzO9lol9wheY09C5YR9V2EY7svA1q1bMXPmTIwdOxY33HADdu7caf3ZYPukdfPmzdi1axc2b94MwzCwYcMGAMABBxyAurq60g6uQIsWLcK8efNw1FFH4eijj8by5cvR3d2N8847r9RDc01XVxfeffdd6/sPPvgAGzZswLBhw7DffvuVcGTuufjii3HvvffiwQcfxJAhQ6z7ExsaGlBdXV3i0RGRX1TS72yvDcYewWuV0JN4rRJ6oFJg31UgQb53xx13CAAZvwabefPmZfx7rlu3rtRDG5Bf/OIXYr/99hOhUEgcffTR4h//+Eeph+SqdevWZazbvHnzSj0012TbB++4445SD42IfKSSfmd7bbD2CF4b7D2J1yqhByoF9l2F4Tr3RERERERERGWON4ERERERERERlTmGeyIiIiIiIqIyx3BPREREREREVOYY7omIiIiIiIjKHMM9ERERERERUZljuCciIiIiIiIqcwz3RERERERERGWO4Z6IiIiIiIiozDHcExEREREREZU5hnsiIiIiIiKiMsdwT0RERERERFTmGO6Jimjnzp0YOXIkfvKTn1iPPfvsswiFQli7dm0JR0ZERESVhD0J0eCnCCFEqQdBNJj99a9/xemnn45nn30WBx10ECZNmoTTTjsNN954Y6mHRkRERBWEPQnR4MZwT+SBiy++GI8//jiOOuoovP7663jxxRcRDodLPSwiIiKqMOxJiAYvhnsiD/T09OCwww7DRx99hJdffhmHH354qYdEREREFYg9CdHgxXvuiTzw3nvv4eOPP4Zpmvjwww9LPRwiIiKqUOxJiAYvnrknKrJoNIqjjz4akyZNwkEHHYTly5fj9ddfx/Dhw0s9NCIiIqog7EmIBjeGe6Iiu+yyy/DHP/4Rr732Gurq6jBjxgw0NDTgoYceKvXQiIiIqIKwJyEa3HhZPlERrV+/HsuXL8ddd92F+vp6qKqKu+66C08//TRuvfXWUg+PiIiIKgR7EqLBj2fuiYiIiIiIiMocz9wTERERERERlTmGeyIiIiIiIqIyx3BPREREREREVOYY7omIiIiIiIjKHMM9ERERERERUZljuCciIiIiIiIqcwz3RERERERERGWO4Z6IiIiIiIiozDHcExEREREREZU5hnsiIiIiIiKiMsdwT0RERERERFTmGO6JiIiIiIiIytz/B9WqjYyCkPgZAAAAAElFTkSuQmCC", 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