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January 17, 2024 04:00
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A toy model showing how diffusion model works
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "6631ba0a-6e63-419e-bd99-fd702e818817", | |
"metadata": {}, | |
"source": [ | |
"# This simple notebook shows the basic principle about how diffusion model works with a silly toy model" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "aebed818-cf82-40fa-89aa-b9e2a3e12e18", | |
"metadata": { | |
"tags": [] | |
}, | |
"source": [ | |
"### Load libraries" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "3ab250af-956e-4e5a-970f-54ce384d6499", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"from mpl_toolkits.axes_grid1 import make_axes_locatable\n", | |
"import numpy as np\n", | |
"import math\n", | |
"import random\n", | |
"\n", | |
"import torch\n", | |
"from torch import nn, Tensor" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "f3e7acfb-403e-4538-bca3-2e3387e6d1f1", | |
"metadata": { | |
"tags": [] | |
}, | |
"source": [ | |
"### Define the \"good\" images\n", | |
"\n", | |
"We have 256 (16 x 16) possible two pixel images. Each image is equivalent to two interger from 0 to 15. Thus, each images is corresponding to a position in a two dimensional 16x16 grids. We labeled those images that are \"good\" \"1\" and noisy images \"0\". " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "c7a8fddc-179b-4177-bb9c-8d2750acf3ab", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"pattern_orig = (\"1100 1100 1100 1100\",\n", | |
" \"0000 0000 0000 0001\",\n", | |
" \"0000 0000 0000 0001\",\n", | |
" \"1001 0000 0000 0000\",\n", | |
"\n", | |
" \"1010 0000 0000 1000\",\n", | |
" \"0010 0000 0000 0101\",\n", | |
" \"0010 0110 0110 0101\",\n", | |
" \"1010 0000 0000 0100\",\n", | |
"\n", | |
" \"1010 0000 0000 0100\",\n", | |
" \"0010 0100 0001 0101\",\n", | |
" \"0001 0011 1110 0101\",\n", | |
" \"1001 0000 0000 1000\",\n", | |
"\n", | |
" \"1000 1000 0001 0000\",\n", | |
" \"0000 0111 1110 0001\",\n", | |
" \"0000 0000 0000 0001\",\n", | |
" \"1100 1100 1100 1100\" )" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "c1c9b9ad-94b8-4fb2-803c-ef4d88d4ea31", | |
"metadata": {}, | |
"source": [ | |
"### Show the possibe 2pixel image in the grid" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "28aa1f33-895e-4c29-946a-6b6fb106edf0", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'pixel 2 value')" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"initial_2px_images = []\n", | |
"pattern = np.zeros( (16, 16), dtype=int )\n", | |
"for i in range(16):\n", | |
" line = pattern_orig[i].replace(\" \",\"\")\n", | |
" for j in range(16):\n", | |
" if line[j] == \"1\":\n", | |
" pattern[i][j] = 1\n", | |
" initial_2px_images.append( (i, j) )\n", | |
"plt.matshow(pattern)\n", | |
"plt.xlabel(\"pixel 1 value\")\n", | |
"plt.ylabel(\"pixel 2 value\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "f0467eb2-dd53-4729-82cc-0b872ad58b40", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 400x400 with 256 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(4,4))\n", | |
"for px in range(16):\n", | |
" for py in range(16):\n", | |
" two_pixel_images = np.array( ((px, py),) )\n", | |
" ax = plt.subplot(16, 16, px * 16 + py +1)\n", | |
" ax.pcolor( two_pixel_images, cmap='gray', vmin=0, vmax=16 )\n", | |
" ax.axes.get_xaxis().set_visible(False)\n", | |
" ax.axes.get_yaxis().set_visible(False)\n", | |
" if (px, py) in initial_2px_images:\n", | |
" for spine in ax.spines.values():\n", | |
" spine.set_edgecolor('blue')\n", | |
" spine.set_linewidth(1.5)\n", | |
" else:\n", | |
" for spine in ax.spines.values():\n", | |
" spine.set_linewidth(0)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "eeb91bc4-6b45-43a1-a16d-4a36a60c9c46", | |
"metadata": {}, | |
"source": [ | |
"### Perform simulation to diffuse the \"images\"" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "8c2def66-855a-4e7e-9579-d805a3634913", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"history = np.zeros( (10000, 20, 256) ) # number of simulation, number of time step, image space\n", | |
"dx = np.zeros( (20, 256) )\n", | |
"dy = np.zeros( (20, 256) )\n", | |
"for s_run in range(10000):\n", | |
" two_pixel_images = initial_2px_images.copy() \n", | |
" for step in range(0,20):\n", | |
" new_2px_images = []\n", | |
" if step == 0:\n", | |
" for px, py in two_pixel_images:\n", | |
" idx = px * 16 + py\n", | |
" history[s_run, 0, idx] = 1\n", | |
" new_2px_images.append( (px, py ))\n", | |
" else:\n", | |
" ## for each \"two pixel images\", we perform a random walk process to generate noisy \"two pixel images\"\n", | |
" for px, py in two_pixel_images:\n", | |
" if random.uniform(0,1) < 0.5:\n", | |
" ppx, ppy = px, py\n", | |
" delta_x = 0\n", | |
" delta_y = 0\n", | |
" if random.uniform(0,1) > 0.5:\n", | |
" if random.uniform(0,1) > 0.5:\n", | |
" delta_x = 1 if random.uniform(0,1) > 0.5 else -1\n", | |
" px += delta_x \n", | |
" else:\n", | |
" delta_y = 1 if random.uniform(0,1) > 0.5 else -1\n", | |
" py += delta_y\n", | |
" \n", | |
" ## using periodic boundary condition\n", | |
" if px < 0:\n", | |
" px = 15\n", | |
" if px > 15:\n", | |
" px = 0\n", | |
"\n", | |
" if py < 0:\n", | |
" py = 15\n", | |
" if py > 15:\n", | |
" py = 0\n", | |
"\n", | |
" idx = px * 16 + py\n", | |
" # the dx, dy array keep the number of times where the images coming from \n", | |
" dx[step, idx] -= delta_x\n", | |
" dy[step, idx] -= delta_y\n", | |
" \n", | |
" history[s_run, step, px * 16 + py] = 1\n", | |
" new_2px_images.append( (px, py) )\n", | |
" \n", | |
" two_pixel_images = new_2px_images" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "d89c7ccb-b6bb-4ba1-b005-5b2bcda0c852", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"m_his = history.mean(axis=0)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "b7738e19-20d4-4255-ba8b-acda872242b1", | |
"metadata": { | |
"tags": [] | |
}, | |
"source": [ | |
"### Showing the vector to reverse the diffusion trajectories at different time steps" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"id": "b5a7be05-aa48-4071-b1a7-427291d52483", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"\n", | |
"for idx in (1, 2, 4, 8 ,16):\n", | |
" X, Y = np.meshgrid(np.linspace(0, 15, 16), \n", | |
" np.linspace(0, 15, 16)) \n", | |
" plt.matshow(pattern)\n", | |
" plt.quiver(X, Y, np.zeros_like(dy[idx,:]), -dx[idx,:]/10000, scale=2, color=\"w\")\n", | |
" plt.quiver(X, Y, dy[idx,:]/10000, np.zeros_like(dx[idx,:]), scale=2, color=\"w\")\n", | |
"\n", | |
" plt.xlabel(\"pixel 1 value\")\n", | |
" plt.ylabel(\"pixel 2 value\")\n", | |
" plt.title(f\"time={idx}\")\n", | |
"\n", | |
"\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "94b5dadc-fb42-47f0-9b52-150d5e205aac", | |
"metadata": {}, | |
"source": [ | |
"### Showing the sum of the time reversal flow vectors" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"id": "997f40fa-6146-4848-a5be-677e3f621669", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'pixel 2 value')" | |
] | |
}, | |
"execution_count": 20, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 0 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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XHlDyjaKUqFqEbLl9MMWZ+Lb1RIiZY38wyctW2AA57AOQI+yPEbcUOX6DbRCKNrf9278GMnxxW7ZsGX379mXo0KEcP36cWrVq0aRJE27cuKHeTvVVkNw+h5iZYD6Uuhgx87CG9QJjQySfBSB5p3xbyy3kqCnIVpnKb5WjQoMylKlTEr8COQgo5k+23D6py0lh7j5uVGpcFo1WQ0AxfwKK+ZOnqD/3rocih/UE076UB5NckLznguSBHPY+WENTl5Tllu3L1lARyT11gx1M8Sa+aTWRQ+uP80m5L1k4fBlvdqrFgkvT6Ta6A66eLqnLLQ1KvlGUydtHMG79UBJiE/im1QQehjzii3rDuXH+duqC6ooieY5Cjvsb4tLQOrWGIof1AH1xJI8RqQqx+68DDG48mujwGLb8tov8gXmYfmAcE7d8S8WGZVKfWxpIkkSVJuUZs3Yw88//gNHVCYB71x/Qt+bX7Fv1ktMULwzqbHufa3xsl69Y76Y6PzliKMhRjw+g1emEc/V0QavTqhJbbRn+Iu6qVatSoUIFZs2alXxfiRIlaNWqFePGjXvl9kmTfoYFF0zZsF3JCynbGrDcRH7UBbCkIXtAX952/sgaaRtebce1cI39y1GzdRU+n94dX38f7ly5R8782dFoNFw9dYMjm4I4vCGI07vPYTa9or9eIQHF/KnWohLVmlcksEZxtFoNwUevUKhsPuJjEpjzxQLW/7yNjSFBdkTVI3nPAX1527VViWfTnqhzBzSeI7FGfANxS1K8WWP/cv9mZdBhtcpYEi24e7vx7ldv07p3UxLiTCwdv4JVMzZgik9pt2nq5A8MoNvoDlR/uzJXTl7nl6GLOfjPMfQGHTnyZef2xTvJz7XrNZfcbK1rOd42GIr4tCfr3AaN5wSskSMgdlGKN3vyNc8fGICbtytn9wVTo3UV2g9sRdFKhbh47ApLJ6xkz18HsVpTc14x5Vw9XWjcrR4te7xF7sJ+XDp+lZUz1nN86ykGL+rDiP9NIvyBbbYO+9/ns209QmHvgflk2pPVl0fyWQwxcx+fAkmZJ19zgNptq1G1WUW8cng+/vHAK4cnJ7af4evm41R/zVMqUTazg1UpmsQ5Qxc3k8mEi4sLf/75J61bt06+v0+fPgQFBbFz585ntklISHhqaYbIyEgCAgJSXNwkzyngVAM5tGWajqqeos1rO3Gs8bKdC7LcStFmSW9AFw8XPhzfifMHL7J/zREqNixD5cblqfRWOXz8vIiLiefE9jPM7v8rty8plPN/tO7dlLd7vkXuIrlIiDNxfOspDqw9woG1xzDFmRj0Wy+mfjqXB7ceAvZ96CX3b8HlXVvxN+1XLGfJYzg4v4v8sG2KC+Z/P/T/5ZvLm07D2tL0wzcJuxfBiP9N4vyhSy/dJrU+/b4rrXs35d61B/z6zVJ2LN330i8Zu15zz4ng1AD5YWtFJx+Q3L8Gl06297lCr3n5N0vTfmArKjQow+1Ldxnd7nsuHb+qQLbP6vLtO7zzRUv0Bh27lx9g1cwNnNlnO5dpMBqQrdanDiTte59/Ay7tbNfDmvYql7TrZ0hufZEfvQvmEyna5L+vuSRJ1H7nDT4Y0wH/Qn7J99+9dp/Te87z67Cl3Luu3DW8T8pT1J+YiFjC7oW/8rn2FLcMPaAkNDQUi8VCzpw5n7o/Z86c3L37/C/xcePGMWJE6rpGAOToHyBumXKFDcByA/lhO3Bpl+LC9qTYyFim9ZiH0cWJ+NgEdizbx45l+5AkiYJl8lGpcVkqNS5nGzGnEkkjcWLnGeZ8sZBjW06SEPdvi0Wr0zK0+atb0S8ixy4E0x5FCxuAHDkazBcg8bxiMR/eCWNaj3ksn7yG9oNbcyv4zqs3SqVrp28yo9fPrP9pG4lmZVvmcvSPELda8Vl15KjxkHhR0df8+NZTHN96iqKVCvG/vs25e/W+YrH/K+xeBH9+t5p1c7fw8M7Tg2vS2kqXY3+zddUrWdgAYuYgWx+kacYSWZbZ+cc+9q44RLOPG9BpWFu8c3hydPNJCpbJhylevZGrH0/qQsVGZdm6aBfLv1/LjXP2f0c+T4ZuuYWEhJA7d2727dvHG2+8kXz/mDFj+O233zh//tkPUFpbbhnJq45oMzL7umsyDvGapz/xmqe/V73mLu7OvPNFS/auPKRaKzmJm5crzT5pSOteTfD19+HgP8f4c/JqTuw4A0C+knm4ftZW8LJMyy1btmxotdpnWmn3799/pjWXxMnJCScnp/RITxAEIUuKjYpjwbfL0mVf0eExLJuwkr+nrKVu+xq8M6Al320bTvDRKyyfvJom3d/kwD9H+XvqP3bFzdBNGYPBQMWKFdm8+ekLaDdv3kz16nYOMxcE4fkkd9L8VaALJIMfKwsZnNmUyOaFO/m47AAGvzWaqEfRDFncl/Jvluaz799/5lrIV8nQxQ2gf//+/PTTT/zyyy+cO3eOfv36cePGDT799FNHpyZkVPryjs4gc3HpapvxPy0Mb4CxuTL5vFZePQHw6+jIphMMaTKGPX8fTL6vda+mDFrUK8UxMvyhVrt27Xj48CEjR47kzp07lCpVinXr1pEvXz5HpyaoQXIBOTZtITy+sU1mbc+sD68ryQ3J9X1k08E0DaKSdHnB0BY5fhViRp4U0vjaDsQStigXU5sXLCpeA5yOvP28OLwxiFsX7+BfMCd+BXPaNYlFhi9uAD169KBHjx6OTkNQmyYbGFtC7C9pCQK64uDSBWLmKpZaluXSGUnjiazN/fK5U19FmxdJVwjZqREkbFQuvyxMcv8KWYlr3Z6KOeTxjDEZd17OlHoY8oh1854u/Ilyyv+uDN8tmbmIgSxpIbl0Q0rrkkGabEiSDsn1o8fnkoQXklyRXD+w/a59+arGr6TNawvpJpYdShF9eSTnNraeCqVo8yIZ3wRdYeViZmKiuCnJ9T3xxkotyQNcOoIub9riaGyjaCWN179f3MLzuXRE0timhZPSVNz0oPW3xdEH2hbwFV5Ca5tgAJAULG6SS0fbL/qSisXMzERxU5IlBMl7kViwNDVcOiNp3ECbP21xtE9cIuLyPkgZYx7ODEdyRjLUQrY+QpZNaZt8V+tvW7ZFNiHHrQVtLuXyzIpcOiAlFSDJWaGgRnD+ny2kThQ3EMVNWeYTSFpfJJ/fbOd9hBQyIrl2BUDSZgfJNfWhtDmRTccAkKNngE4MPHouOc42v6GcADG/Itsx/+YzrGGPpzi7DtZw2wK+wvNpfJBcPkBOOnekVMvNuTmSxsv2u76EMjEzudenuDk1Vn8fllvI1kdIGh8kn4UgjqBSxuUdkJ+Y2kibhq7J+I22ufsArPdTt4Dm60JyQ9LmQk4Mhvh1qY8jRwImsFwBXUHF0suSrNHID1sBGuSY38AapUhYyVAd2XwR2Rr1+PMjLjHIFKMllbB3a2v88/VgWo953AoOUW0/o1ZfpVpzHySNNxevT2F464nJkwm/TuyZUsnF/RJ12q2k7+yPGdhwFPExgZw/lLbBOYuuPmDHH3X4aWAq1znLhOydxqpEtaJM2wc939Rw6bh92z5Pt9ExNOpamQ4BaY+VWaRm6rBqzSsyarWWruUOcffafawW+2M8ayHDlvXHzTuOyR/OIuJB5afmf01vak1LFhllxTuFZ31em5bb3z+spXz9Usw58R1dR7TDYLR/UcWUuHD4Evdv2NYim93/19eysNkrNiqOgGL+3Lv2gKDtpxWZZf9y0DUKlyugQHZZV/7APFitVm6mdj24/7h5/jbZcvvg4q7UeaSsqWy9Uty/GUrI5btYLcotJeOb24eHIWHcvxHq0MKWUbw2xe3Kiesc3XwSg5OezsPaMvfkZCo1Kqv4fo5uOkGfGkMJPnqFjyZ2UTx+VpWnqD83LyjXor584hqFyuVXLF5WlLdkAHeu3FfsizBp0dQ8xfwViZdVla1TkhPbzyge19ffm9CQR4rHzaxem+IGsGziyuTfH4Y84spJZZf7ADh38CKhtx8x98uFlKhahNrvvPHqjQTyFPV/auHNtLp0/Cpe2T0yzKrlaWV0NSoeM3/JPFw/o1y3bVILMG/xNIy8zOLcvd0oVC4/J3YqW9wkScLX34eHorgle62K2/Gtpwg+eoX9a45QpnZJ3mhZSbV9ndhxhoP/HKP72I7o9K/Nqc1U0eq05CqYg5sXlOkeA1u3JKB4661EtaL4FUjjPIx2ypkvO237Kz9vY77AAK4rtHYWQFx0PA9uPSRA4eLmlcOTkm+k/+U1Pn5eiscsXbsEGo1G8Zabh687eoOOh7dFcUvyWhU3sJ0HG956EqtmbqDXzI94o4V6Be6nQYvImT8HzT9tqNo+soJcBXOi0+u4pWC35L3rD4gKi6ZweWXPu8VGxjJ+w9d4ZX/5WlJKMboaGbHyq6dWf1aCq6cL2fP4KtpyA1vrLUDhbsnI0Ci++XPAUytEqy1H3mx8+v37isctWzeQu9fuc/easguuJvVQPAwJe8UzXx+vXXE7tfscVquVH/vMZ/+qwwxZ0pcSVYuosq9rZ26y6dftdB7WFldPBafZyWKSvgyVPOcGttZbobL5FY0ZcukufgVzMmbdUJzdlO8qfJIkSQxc8DmFyuZXvLspX0nbjCTXlC5uF0IUb7lZrVbiYxIYu24IHr7qT6nmm8ubiVu+JSZC+ZXty9YN5OSOs4rH9fW3zTQTKopbsteuuCWxWq2M6zyNy8evMmrNIHIXUWdWhQXf/oGTixPtBrZSNK5Gq7FrbaOMLHfRXMTFxBOqcJeKGoNKzKZE7l65R9GKBRn+95foDep1OXf+pi0121QFULy7KV9gABaLlZvnlT2guHn+NrmL5EKjVfa9eefKPXIXycXIlV+hd9IrGvtJntk8mLD5G3IX9uPyCWXPyXv4ulOobH6CdpxWNC7YRkoCPLqTPsVNo9Hg7u2Gq6cLLu7OGF2cMBgN6A06tDptuuTwKlnj2zGVTPEmhr09gYjQKMatH4p3Ti/F9/Ew5BF/TVlLmz7NyJ7HV7G4VouVXj9+SNv+zXHzSsOMHnbw9fdRZYBMQDF/bgcrN5gkyaXjV/Ev5IeLh7Kt5qQWZoUGZfjy18+RJOUvmK31v2q89+27ybeVLvz5AwO4e+Uepnhlh4zfOH8bvUFHLoXPS965auvGC6xRnK9Ues3dvFwZv/Hr5FbtlRPXFI1fprZt5pATO9QZKRl2LxxLokXx2M8jyzK9ZnRnZdgCVkUsZE30Iv6J/Z2lIfOo37FmuuTwKq91cQNsq702GYPB2cDotYNV6Wr6Y+IqYqPieH9ke0XjLh23gveGt2Pxzdn0mvmhqqPUilYqxMxD41Tp01f6MoAkyYNKyio7BdeTA18uHb9CznzZFY0PcPfqfbYv3UtcTDwWi1Xx1z1fyQDFuyTh3xGTSndN3rlyL/n3mMhYVS7z6Di0DT65vJNvXz2l7LpoZeuV4s6Ve8nXwSopW25fxQ+Anker01K6Vgm6j+tIwf90+e/8Yx/dS/Zl88KdqueREq99cQPb4IOhTceSu4gfw/4YoHizOjYqjkUj/6TBe7UpWEa5L9p71x/w06BFOLsaaflZY1r0aKxKN1mhcvkZt+FrdAYd5/YHKx4/oJi/KrPG3Dh3G1OCWfFBJTfO3Wbqp3MwmxKRJEnxwQEA18/eomLDMqybt4UpH88mNkrZhVfzB+bh+lnlRkomCb39iLjoeFWK228j/yQhzsT9Gw+4dPyqovEBfhmyBFO8ieCjV7hx/jZx0fGKxi9bN5AgFVptYDtPqOZgkobv1eHrpf1Yfv9nvt85kkbv1+PC4Us8uPWQhyGP+Lb1REa3n0L4/YjU7UCbJ+3LLv2HGKP+2OUT1xjxv++o0aoKsqz8SsL/zN1CvpJ5FP+SWjNrE3XeqY7Rzcg/czYrPqoObC2g30b8gY+fF1arcjMqgG3QxJJxKziz74KicQEsiRZ+GriI8wcvKhp366JdmE2JGF2NinddJdHqNKycsZ5tv+/m9qXUr5D9PJIksWziKs4dUP5ABeDnwb9z8dgVRWMe2RDEnr8PEhUWzfUzyhdlsL3mW37bxc4/9mFwVn4GozWzNnLttDrTwW1euANLorKfzSe9++XbJMQm8PcP/3Bo3XGCj1xGlmU+mtiFxWP+IiYiNpWRdUgeI0FXFDlhO8TMVCxnSVbjmzwDiYyMxNPTk7q8jU5S70S0I/kX8sNsSuTBTeW7O56k0WgUL26CIGR8eic95oSUr4Kdsrkl9eDSCcmtD5LGDTnxGnLoyy+bss0teYWIiAg8PF5+OY5ouWUBIZeVPbJ/EVHYBOH1ZE9hsyMqmE+AHAG4IenyI+vLgTlIkejinJsgCILgGObjyKFvI8dvAkBybqVYaFHcBEEQBMeRI5DDe2KNHAFODQBlzneKbklBEATB8WIXIZuO2Ra8TTyf5nCiuAmCIAgZQ6JyU5OJbklBEAQhyxHFTRAEQchyRHETBEEQshxR3ARBEIQsRxQ3QRAEIcsRxU0QBEHIckRxEwRBELIcUdwEQRCELEcUN0EQBCGD0IOulCKRRHETBEEQMgAJyXMCaHMoEk0UN0F4TWXP46tKXL1T1lw3UVCX5P41knMLSLysSDxR3IQsKW+JPEiS5Og0MiwXd2e6jminSuz2g1qpElfIwlw/R3J9D1lOAIsyK61n6OI2btw4KleujLu7Ozly5KBVq1ZcuHDB0WkJmUChsvl4b8S7jk4jw2ry4ZsUr1pE8bjeOb1454uWuHq6KB5bSBmtTkuZOiXTdZ858mbDL38OXNyd7d/YuSMa9z623xOvAhZFcsrQxW3nzp307NmTAwcOsHnzZhITE2nUqBExMTGOTk3I4O5evU/nr9vSqGtdVeIbXZxUifskNy9XVeJqdVra9GlG7iJ+aHVaRWMXKpsPZ1cjjd6vq2jcJKI1/nJlapdk9vFJ6X5w4e7txrzT37MqYiHr4pcgZd+L5LvWdg5Nk+3FG2qyIemKIMuPV/pWqEsSMnhx27BhA++//z6BgYGULVuW+fPnc+PGDY4ePero1OymN+jIXdjP0WlkGF7ZPQisXky1+Heu3geg39xPKFdPmdFXT3L3caPrSHW69ZJ0HNoGo6tR8bh13n2DHHmzodPryFUwp6KxC5bNB8DbPd5SpRCVrF4sU3+O3L3d6DqiHe4+borG9c7pxcCFvZi8YwSyLHNgjbrfkRqNhgKl89Ls4wZ88XMPhizuk3zApzfoQHJGjl+NHDEMrKEvDmQNRTbtRpL0yLG/g+U1KW7/FRERAYCPj4+DM0kZSZIoU6ckfed8wrI788hbIo+jU8owwh9E0qT7myy8NIOuI9vh7Kbsl3j4/QjiYuLR6XUMXNiLPEX9FY3/MCSMd798m8bd6ikaN4lnNg+af9oIvwLKjBx70jsDWib/nrdEbkVjFypbAIDcRXJRsVFZRWMDFK1UkKYfN1Q8bhJXTxfqta+BRqvsV6NGo6HtgBYsuDQdnUFH1KNoxWJ7+LozeFFvGnSuDcDS8SuQZVmx+GA7GH2jRSU+GNOBiVu+ZWX4AuaemEyvmR9RqFx+Tuw8y9HNJ7EkWlg5Yz3ygwYQMxcwvTK25NoD2XQYOXK4rcApJNMsVirLMv3796dmzZqUKvXiI/GEhAQSEhKSb0dGRqYovoevO637NMWSaGHRyOVpyrVQ2fzU71SLeu1rPDUi7bMp77N/zZE0xX6e7AHZyJbbh5iIWG6cU+Zk7FPx8/iSLzCA41tPYUlUpj8cYEavn5l+cBy5C+ciLjpesbhJgg9fxmqx8tOgRdwKDlE0ttVq5ciGINW6J339vdn95wGcnA2KxnVxd+b7j2bTtn8Lbl0MwUnh/K+fvcm6n7Zw4fBlosOU+wJPEhsZhzmbWfG4SXpM6cbBdUexWqyKxrVarZjjzcRFxbNswkpFY0c+jOL3MX+RLzCAhNgEdizbp2h8gFnHJpEttw9h98I5uz+Y38f8xbn9wQQfvUJ8jO2z27p3U2b0+plbwSG0bPsoZYElDyABOXqW7bY1hdulJLSsdIlXSc+ePfnnn3/Ys2cPefK8uAU0fPhwRowY8cz9dXkbnfTsEGXvnF60HdCCFp82QtJI/DVlLb8OW5rqPDUaDcUqF6JM3UDK1C5JqZrFk0+y/jV1LbP7L0h17BfJXyov805O5tHdcMZ3mcbxracUjd/0owb0/vEjmjl3VLS4gW1U4+2LdxSPC7ajzfAHKTu4SQ1JkhQ/QhYcS2/QYTYlqhY/e0A2Htx8STddGhiMBqo2q8Duvw4oHrtUzeI8uPmQe9cfpOj5G0OCFM8BIDLKinfRK0RERODh4fHS52aK4tarVy9WrlzJrl27KFCgwEuf+7yWW0BAAHV5G73GQK3/VWXX8gNkD8hGu6/epkn3+phNiayasYG/p/5DRKiyX4YarYYiFQpSpk5JLIkW/p76j6LxwfYl/ue9nzmz9zx9aw1TPP77o9rT8L06dMr3meKxBUHIejJCccvQ3ZKyLNOrVy9WrFjBjh07XlnYAJycnHByerarRafXMXhBbwKK56ZS43I0fK8OsZFxLB77N6tmbCA6XJ0RmFaLlQuHL3Hh8CVV4gNEPozGYrEyb5By/dVPypk3Ow9uqHO0KQiCoIYMXdx69uzJ4sWLWbVqFe7u7ty9excAT09PnJ3tu55i6NK+1G1TEwCfXN78PGQxa2dvTu4vzsysVisbftnGmb3nFY1rdDVSpk5JcuTLxr3robi4OxMbFafoPgRBENSQobslXzSUeP78+bz//vspihEZGYmnp+dTzdjLQdcY/r9J3H08XDwrcPNyVaX1+deDX3D1dCH8QSTn9gczou13iu9DEISsRXRLvoKSdXfr77t5eD2MG+duc+PcLe5nsW42tbpVr52+SZk6JfHN5c3aOZtU2YcgCILSMnRxU9K0HvOeO1pSeLmrp29Qpk5Jrp+9xdHNJx2djiAIQopkqou4hfR37fQNAFZMU36UpyAIglpEcRNe6uqpG0Q+imbLb7scnYogCEKKieImvNS1MzdZN28LCXGvnkZHEAQhoxDFTXipmIhYxacLEgRBUJsobsIrqTUSUxAEQS2vzWjJFcGn8HBXvpY39i+neMz0ota1KJC5XxdBENJGrc9/omwGrqTouaLlJgiCIGQ5orgJgiAIWY4oboIgCEKWI4qbIAiCkKEZjAbyBwZQrUXFFG/z2gwoEQRBEDIXd283hv/9JaVqFUej0RAZGcl4z29StK1ouQmCIAgZklcODyIfRqHR2EpVnB1LlImWmyAIgpChFKtcmPYDW1G9VWXC7oZz9dQNvHJ68nXzcSmOIYqbIAiC8FIajQar1ar6fio0KEP7ga0o/2Zpbl+8w9RP57Jl4U7e7tWEfSsPc+PSzRTHEsVNeDnJDTSeYLmd6hB5i+emXseabF20m1vBIQom92o58mbLcmv3CerSaDVYLep/kWcmrl4ujFo9iB3L9rL1991EPYpWLLZGo6Fmmyq0G9iaohULcvHYFUa9O5k9fx9KLqjLJ6+xO64obk/RgMYLrI8Uj+zm5cobLSuxeeFOxWMnyZ7Hlwe3HioaU/IYDnI0csw8uwqcr78P9dpXp37HWhSpUJCYyFiiHkVT5903cHZ3xsXdGWdXI87uRs7uv8Afk1Yrkq9Wp6V8/VJUbV6Rqs0q8uBGKAPqfatI7P8qWCYft4LvYIpXflJprxyedPn2Hab3/Enx2ACfTXmf5d+v5cFN5Qt/s48bcP9GKIc3BCkeG8Avfw7uXruvSuy8xXPTuk9Tpvf8WfGWisFoQKvTEBed8vNGKaXRatDpdchWK2ZTouLxu43uQEAxf3r+8AEfT3qP/auPsPHX7RzZGJTmA4Gvl/Wj1v+qcXzbaQY1HqXYupGiuD1JVwJNtpVYH7YF84k0hTK6OBEfmwBArf9V4/Pp3TEY9RzeEET4/Qglsn3Km51q8eX8nrzj96FyR1XG5kjOb9t+ly3IUaNevY3kgeTWj9+vd0Sr/Xe8kquHC++Pak98dDyxUfGP/40jLjoeq1W5FdctiRZCQ8J4dCeM8HvhJJqV/6AD6A06cubLzt2r9zEp/12FxWwh4kGk8oEfC78fgTnBrErsmIhYYiJiVYltMBr4asHnTHhvOveuP1A89qBFvSlSoSDXz95i5fT1isb/4848Fo/9S7EDuSRv93yLZh83RKPVsGb2RlbN2KBofABJI+Hk4gTY3vu121ajXP1S7F1xkF+GLCY8De/VFdPW8cekVZw/dEmpdAFR3JJJbn0AA7KcAOZzaYqld9IzYuVXTOw6g89nfEjN1lXYt+ow03r+pEphAzi+9RSSRqJ6y0ps/HVH2gNq/JE8Rvx729gI4v6ExPMv306ORI4aQYfCOylTp6Ttp3ZJchfJxWcVvuL2xTtpz+0Vrp2+wbXTN1gybgUuHi6q7MNsSmT/miOqxAaICotm4fA/VIu/ZNwK1WLvWLZPtdimeBMD6n6Lj5+X4rG9c3py/tAl8pXMw/uj2rP7r4M8DFGuF+fGuVsUKJ1PsXhJLh2/SoHSeQG4cuK64vEBti7aRWD1Ypw7EMzZ/cGc2x/MzQshyHLaD0xP7U7b9+2LSLIS2WVgkZGReHp6EhZc8KUTJ0te05CMTZCtsZAYjBz2Ecjhr4z/vAlCBy/qQ/2ONYmJjMUUZ2JG71/Y9ef+NPwVKTNl1yiiw2MY1nJ8ip7/4omTNUg+vyEZqiCbjiHH/Qnx60BO+dH4f18Xz2weOLsbuXtVne4kQVCKVw5PWvVqgmd2D374dK5icfvM/pjAN4rxcdkBisVMMvfkZPKVzEMrr67qdHum04CSV0mUzexgFREREXh4eLz0ueI6tyRWW1eepHFBjl+ZosL2PO8Nf5f6HWsCtm6O0e2mpEthA9j99wEqNCyDi7tz2gI5/w/MZ7CGNkV+1A7ilttV2J4nIjRSFDYhUwi/H8Gvw5YyZ8BCNFrlviKvnrxOQHF/9AblO8z+mbOZWxdCVClsQIYobPYSxS2JbFuzTDafh9ilqQrxZqdadPnmHQDiYxM4sjGI3EVzJV+AqLa9Kw5hcNJTtVmFtAWK+ws5aiwkXlQmMUHIhOJj4hUdNXnl5HV0eh0BxXMjSZJicQG2LNrFSZW69zIrcc4tiWxrudkGTVjs3rxUzeK0H9SaFdPXcWjdcU7uPKvKKLqXuXf9AcFHLlOzdVW2L92bhkiZ7yhNEDIyHz8vHt0JB6DpRw0IfxDBopHLFYsfExGraLysQBS3x2RrNMT9A6ZDqdr+5vkQPirdX+Gs7LdnxUE6DGmDk7OBhLj0La6CIDyfOSGRn87YZtd4u+dbLBi+TPF9KDn4JSsQ3ZJJrA+QoyakevOIUPWGbdtj918HcXY1UrFRWUenIgjCY1Fh0U9dWvDgprLXowrPEsUtSfw6sKo/TF1tt4JDuHbmJrXaVMPdxw1nN6OjUxIEAfhrylqiwmynP0IVnmxBeJYobsnUudg3vfnm8mb/6sNUa1GRSVu+xTPby4fLCoKQPmIiYln+vW0aKdFyU58obllM1eYV6TC4DW5erhQqlx+tXuvolARBeGzltPVEPozivihuqhPFLYtZN28LB/85lnxbJ4qbIGQYsVFx/DxkMfF2rEsmpI4YLZmBvXgGkVfQfI5s/QdJ483cHVcg8exzn/a82VUEQUi51H1GT9BnxKsnhhKfz7QRLbesyPoAOeLxUuySOH4RhIwlS894mGGI4pZVJWxAjluFaJwLgvA6EsUtC5MjR4I1zNFpCIIgpDtxWP9cElmi60COBEvSxeVZ5G8SBEFIAVHcnsf5XYhTfnoch9IVQfIcD5KHrTVnDePLXyQiHkbyz5zN3L5019EZCoIgKEZ0S/6XoSaSsYmjs1BeYjDyo66QeBHJUA7JWI9G79elWOXCPAwRXZeCIGQtmaq4jRs3DkmS6Nu3r2r7kFy7ga6IavEdSo5CDu+BNeo7ZNmC1WqlTO2SLA2ZS985n1CscmFHZygIgqCITFPcDh8+zNy5cylTpox6O9EVRnKqjaTNAZKnevtxKBli5iCHdePO5Xt0KdSTFdPWUaVJeWYcHMfcE5Np3acpHr7ujk5UEAQh1TJFcYuOjqZTp07MmzcPb29v1fYjubz/742s2npLYtrPF/WHc+/aAxZ8s4zO+XswpOkYbl4I4aMJXVh6ey5fL+1HpUZlVVlsNXdhP1r3acpnU95XPLYgZGzKLlQqPF+mKG49e/akWbNmNGjQ4JXPTUhIIDIy8qmfFJHcQeOBLJuQLfdBp3wXndKr76ZV6O1HyLJtBKXVauXwhiBGvTuZDnk+4efBv5MvMIBxG77mtyszqf3OG2nal06vo1y9UnwyuSu/nPuBX4On02NKN/KVyEPNNlWV+HOe4evvo0pcAL1BjMV6FSdngypxNVoN5eqVUiV2scqFKVO7JHon/VP3G12NuHu7pTG6BJpsSG590hjnWWocgKYX31zeGIzKv1cy/CuydOlSjh07xrhx41L0/HHjxuHp6Zn8ExAQkLIdyVHI4b2RH7ZFftgSTHvSkPXzjVw1kFwFcyoeF0ByH4LkPkyRWBGhkfw1ZS0fle5P7zeGcGRTENFhMWmKGVijGPU71eLNTrUIKOaffH+xKoWp0ECdruaPJnRmTtB3lK9f6pkvq7QqUa0oU/eM5oMxHfArkEPR2ACBNYrTd84nisdN0mNqN+q1r6F43Ox5fGk/qBU/7B1Drf9VUzy+X4Ec/Bo8nW//+gKjq/LLObXu3ZTJO0awMnwBk3eM4P1R7anYsAx6g47ZxyfR/JOGqS4kkvsQpGzrwPUj0Cj3PeDm5crCyzOopNIajuXrl2Lh5Zm4+7ipcl5+6NJ+TNs/5qnvBSVk6OJ28+ZN+vTpw6JFizAaU/ZGHjx4MBEREck/N2/etG+niefA+hAst1KR8YvpnfRcOHKJO1fuKRo3maEmSMof/Zw7eJEpH8/h2JaTaYpzYscZvv9wFu39P6Z39aEsGb+Ca2dusnfFIab1mKdQtk/LXyqAgmXy8c4XbyNbFb7GT4LA6sVo1LVumgv/8xhdDJzYflrxuEn2rjxE9gBfxePGxyTQssdblHyjKHqjsgcULh4ufPlLT3IVyIGblyvl31S+9Tax6ww+rfAlPw1cRMSDSJp93JDxG4fx572f8M3tQ59ZHzPz8HhK1SxuX2B9ZdAHImm8kSQDkutHiuXcskdjvP28uHLyumIxkxhdjTwMCSNH3mxM2zeGOu+mrQfneWb0+hm9k56ZRybQ8L06isXN0MXt6NGj3L9/n4oVK6LT6dDpdOzcuZNp06ah0+mwWCzPbOPk5ISHh8dTPxmBxWxh0cjl6gSXXEFXCNl8Qp34CrJarZw7EMwvQxbzUen+/DbyT1X2o9FoCCjmz9n9wYxs+x2JZmXX60vqYp766Vyiw5UvbhcOX2b70r2Kx01yYscZNi/cpXjcqLBoJr0/AwCDwsUtNjKWb1pN4Ohm24FW1WYVFY0Ptvfn5aBrrJi2jpHvTOadnN3pHtiPDfO3o9Xavi4Lly/AlF2jGLyoD2j8UhbYfBI5YQ+yHGe77dIONNnTnK+Ts4FWvZuyacEOHt0NT3O8/9I76Rj9zxC0Wg15ivrjncNL8X1cOXmdnpUHsfvPA3z16+d8Ob+nIq3yDH3i4M033+TUqVNP3detWzeKFy/OwIED0Wozz3IuVqtVveD6QCRJg2w+9ernZjD3rj9QJa5fgRzcvnSXr5uPIz42QfH4kiSxeeFODqw9qnhsQJWC+V9h98JViXt822mWf79GlfMoMRGxDG02ls9ndKdq0wqKx3+e2xfvEBsZy+pZG4mNjCMuKo6YyFhiI+Oo+1ZhMKVkAoQEiPkROW4FuH+F5NwcXD9EjkrZ6ZYXadytHh6+7vw5aXWa4rxI1KNoRvxvEj/sHYOTswGvHOo0FuJj4pn0wUyObz9F75kfUbxqEca0n5Km1miGLm7u7u6UKvV014Orqyu+vr7P3P9a05WxHREmXnJ0JhmGk4uBwW+NISosWpX4YffCmdXvV1ViZwW/DFlMpcblVIltSbTww6dz+V+/5uQPDODaGTtPPaRif3O//O25j30xPsi+YNY7yBH9kGOXILl/ARpf22mQVNDqtLzzRUt2/bmfkMvqzTB0OegaUz6ezaDfeuOVQ91LpLb8tovzBy/x9bJ+TD8wltkDFrBm1iYqNS7HkY1BdsXK0MVNeBUNGGoh6UuD+TTwbDft6+rqqRuqxr9+VtlzslmN2ZTI/jVHVN3HX1PWotVlnt6bp5gPIT/qAJrUX9pU59038Mufg+FtJimY2PNt/X03xaoUplYb5QcJ/det4BB6VRvCp5Pfo/fMjyhXrzQlqhVhRq+f2bVyX4rjZLritmPHDkenkIFYkbwm2waSJF5Dch+CHDXW0UkJQrqxJGbmAzoLWENTtaUkSbQf2JpD649zOeiasmm9wJwBC8lfMoWjz9PInGBm+uc/c3zbaQYu7IXRxYkvfunB+WPBkMLj1gw9oERIAWsYkuSMpC+BbDrs6GwEQUgHVZqWp0DpvCybsDLd9mlJtDCu87R0u8ZTo9EQWL0YRhcnANy93fhifs+Ub69WYkI6edxfL5uOQsJmBycjCEJ6aD+wNWf3B3Ny19l03W/YvXDMJmVHHr+I1WplzhcL+ajMAJZNXMmDWw8pVqlQirfPdN2Swn8kFbco9fvdBUFwrIBi/nhk86BUzeJ802qCo9NJF9dO3+CnQb/z8+DFFKshitvrw/oIOX4LmNUZki4IQsYxctVAosJiuHbmJgfWvF6feVmWOb37XIqfL7olMznZcg85arKj0xAEQWUu7s7kKepPiapFcPNypfu4jo5OKUOT5KSZc7OoyMhIPD09qcvb6CRlZ0xQ28aQoFc/SZMt1SOuGvuXS9V2giCo75nPvy4QTbaVAMjmC7ZLCeSoVMVW+7Ofou+uVIiMsuJd9AoRERGvnH1KtNwyu1QWNkEQMhldAQBkyx3ksA9TXdheF6K4CYIgZAba/MjWCOSwD8Cq3owkWYUoboIgCJmApPVHDvtETLOXQmK0pCAIQiYgx8wDy1VHp5FpvFYtN41WwyffvUerXk1UnwBUEARBUaKw2eW1arlZLVb+mrKW2ccn8enkrhzbcopti3ezd+Uh4qLjHZ2eIAivKUmSKF6lME4uThicDTg5G8CYFyQjyHEQ/w+g4rJZWdBrVdwAQm8/YsJ70xm7biiV3ypH5bfK8ehuOMNajif4yGVHpycIwmtIlmWKVi7E59O6P31/wl7kiK8Qhc1+r1W3ZJLDG4JYMu7v5Ns3zt3ivkqLZmZkWp0Wnf61O74RhAxDo9FQrl4p+sz6iM7D3km+35Rgxho5FjmsG1jvOzDDzOu1/Wb79ZtlBFYvTti9cMrUDWR20HdMeG86x7eqv5p17iK5aNOnKecPXeLC4cvcPH+b9LmW3gD6MmCogmSowg97c9K7+tB02K8gCEk0Gg2BNYpRt111av2vGt45vbh3/QGbFuygUNn8+Pp7M67TD8zasMrRqWZqr21xs1qsjO04Fa+cnvzYdz6DfuvN+I1fs2zCSuZ/vVSVYuPkbKBc/VJ4ZffgjZaVadnjLQBiImMJPnKFC4cvsf6nralbVVdyBTnm+Y/pyyG59QVDRSTJmHy3T66HjN/wNXHR8cRGxf37b1QcsVFxxEfHExsVT1xUHFdOXif09qNU/NUv55Xdg/AHkYrHzcx0eh16J53q54GNLk7IskxCnEnV/WQ2Dd+rw+aFOxWPm69kHpp93JDabavh6+/Dg1sP2bp4DzuX7eX8Idvw/jrvVmf/6iOY4sX/SVq9tsUN4OGdMB7eCQNgUOPRtBv4Nn4FcqjWinL1dGH0msHA04ssylaZG+dusX3JntQVNm0eJK/ZyBF9n38NjDkIOWIAGJuCsSWSoRwAYXfDCX8QiYu7MznyZsPF3Rlnd2dc3I04uzsnr6MEMOWTOaybt8X+3F5h2J8DCD5ymTlfLFQ8NkCLzxoRHRbD9qV7FY/dpHt9ANb/vE3RuCWqFeG94e+yb/VhVvywTtHYSZp0r0/9jrX4Y9IqDm8IUjR2/Y418fB1Z+X09YrGBXijRSXyFPPnz+9WKx4b4NPvu9K6d1Oy5fZhybgVisbOFxhA7bbV2LX8ADv/2MfZ/cHPfNfs/CPlK00/xdgKJGeIW5L2RJ+Qr2QevHN6Ubh8fu5cuc/elYcUjY/GH8n1feSYOckrnCjltS5uT7JarYq/mf8r7F4E7fN8QmRoJGPWDUWr07D+563sXn4gTUfPklsf0OYGffkXX+BpfQixvyHH/oaszQfGFlw7XZZJH8x8YVyNVoOzmxEXd2diImJTnd+LVGxYhjK1SxJQzJ/NC3dy5eR1xfdRu+0bhN0NV6W4Nfu4ITfPhyhe3Mq/WZpy9UpRoHReHtx8yJ6/Dyoav1y9UnQd2R7fXN5cPXVD8eJWvGoRqjWrqEpxK/9macq/WVqV4qY36Mie2xeAD8Z0xCObB3O/WKjYwe6evw+y56+DWK3KDw6RDJVBXwpZ4eJWolpR+s7+GK1Oy8ldZ5UvbpIRybUbcsIWMClb3F7LASWOIssyD0MeYUm0Mr3nPAbU/ZYtv+1KW7eQtjBYI5BDG0DcnynbxnIdYma8tLCBres2JiKWB7ceEhsVl/ocX6DD4DZs/X03n1X4SpXCBhAXFY+zu7PicQ1GA4XK5efcwWDFY5evXxqAldPXK17YAIK2n2bh8D+wJFqo1Lic4vFP7zlProI58fX3UTy2Vq/FYra8+ompYDYlMqrd97R078KnFb7k4tHL5C8VoFh8q8WqSmEDkBPPgq4IYFA07q7lB0h8/Hqf3nNe0dgAWG4hy1bQ5gPJRdHQorg5gNVq5eaFEGWCWa4gR41WvEmvNu+cXiwc8Qfju0xL7hpWQ0xkLC4qFLciFQqg0+s4d+CionGNrkaKVirIlE/msGjUckVjP2ndvC183WI8vv7e+OXPoWjspDW3StUsrmhcAJ1e+1SXvhoS4kxcDrrGtsV7uHrqhqr7Uoz5LJKkB11hRcPGRsayf/URAE4pveq3xhec24I1DMm5DZLHaGXDKxpNcIDMef1L2L1wTu5U+MPyHHHR8Ti7G1/9RDuVqFaE+NgExVucRSsVZHT7Kaqc3/yvIxuD6FdrGPkC8yga99HdcG5fukvpWiUUjQug1WqTWxLCExIv2FpA+pKKh96yaCcWi5Wz+xXupbA+RHJugaT1RTJUAquyA9bEOTchS4uNisPFQ9nuDoAS1YoRfOSy4q2I07vPq9Z19TxXTl5XpUv4zJ7zlKqhfMtNq9eSaE5UPG6mJ8eC5RqSriRKD4c7svEERzedUOXUhBzzk62wAXLiFUVji5abkKXFRcXholLL7dxBZbskgXQtbGo6teccBcrkxdVT2QMLnV6HJTFrvEaKM599ouUmKRbWkmhhdv9fFYv3lIRtyImPZ4ayiOImCCkSWKM4iaZEnN2dKVs3kIBi/orEzZbbh+x5fDmndDdNFnJq9znbxcrViykST6PRkDNfdts5N3MiHr7uaHVaRWJnCdp8yIkXQFccya0/6JTtnlRsjMAzZOSYn2y/Jio7MbQobkKWVbpWcbqN6YjRxYkJm7/h4Z3wNMd864P6VGteEYDzKrTcsorbF+8Qdi+cUjWLK3LuzWq18s2fAyhTN5AiFQsyfuPXqg8syVScaiG59UHSuCK5fQbWTDSdYNxqW5ek9Z6iYUVxE7KsbYv3oNXa3uKXg64RG5n2a/UKls1Hn1kfk2hOZNCi3uQqmDPNMbMarU5LxyFtCL8fSdOPGtBv7qeKxA3acQYPHzc8s3lwZNMJRWJmGbF/JK/OLcsWsIY6OCF7mJAjRyoeVRQ3Icu6fyOUU4+HpZ9UaBhz5MMowHbu58b529y5ouzRZlZgSbRgsVgpUDovntk8FDmoADiy4Xjy72pc/5e5mZCjZ9h+tT4g042iNik/yYIobkKWtvX3XQCc3HlGkXiRobbiFhMZy2/D/1AkZlb099R/kqeSU2p2m9N7zhMXE8/9m6FiearniVtpG5whVhEAxKUAQia0MSQo5U+WriLL7zN8znKYHZ72nRtzA+As/ciyE7vs3ryxf7m05+AAdr3mSZxGALMoX/NO6rZ/Dkm7H6PPDbviZdbX3H4W5OgfkIwtHZ1IhiCKm5C1yREQMw/kcGXiWcORLSEQ86sy8bKyhC3ICXvBGqVYSNm0C8xilOoLxW9AltwdnUWGILolhSxPjp6jXDBrGHLUZCBBuZhZmBw1RrkDC4D4TWA+oly8LEdO+RyzWZxouQmvAQXXRUu8AonnlIuX1SVeRI5dpFw8cT4pBdJj4eOML1Utt99++40aNWrg7+/P9eu2qXumTp3KqlVi5Vghq4tHfHnYyXLb0RkIGZak+GoASewubrNmzaJ///40bdqU8PBwLBbbhZReXl5MnTpV6fwEQRCErEpXDJwaqRLa7uI2ffp05s2bx9ChQ9Fq/53+plKlSpw6dUrR5ARBEIQszFAFyVmd0Z12F7erV69Svnz5Z+53cnIiJiZGkaSedPv2bTp37oyvry8uLi6UK1eOo0ePKr4fQRAEIX1JhipgqA6abIrHtru4FShQgKCgoGfuX79+PSVLKjtZZ1hYGDVq1ECv17N+/XrOnj3L5MmT8fLyUnQ/giAIggMYKiNJWjA2Vzy03aMlv/zyS3r27El8fDyyLHPo0CGWLFnCuHHj+OmnnxRNbsKECQQEBDB//vzk+/Lnz6/oPl5neic9pWoU48SOsw5dasXJ2YC3nxd3r6o5Ek5DRp+SSJIkZNkxg1UMRgOmeJNK0bUgOdnWHEstyRXkONT+P9RoNVgtjnufdBzaBoPRYFv1WroIsvK9YRmGrjCSxgcAybkFcuyvyoa3d4Nu3bqRmJjIV199RWxsLB07diR37tz88MMPtG/fXtHkVq9eTePGjXnnnXfYuXMnuXPnpkePHnz00UeK7sdRqjStwKF1xxSKpgNSsIijxg+c6iI51eWv0BocXnecC0euIFutyFYZq1VGtlof/yunS9FLiDMx/K8viY9NYOvvu9j5x/7kORyVo0Hyno8c9wfEbwDsmVHeAMZGSMaWyBH9QY5WLCutTkuVpuVp+mED5n+9RJWFQ1OiXvvqvNm5DlsX7WT3XwcVXpjSguT9E1juIcevgYQ9QAoLqb4CkvM7oAtAftRZwZz+5e7txpuda1G3XQ2GNBmjyqKcSZycDbh6uuDi4YKLhzOuni64ejgn385TxJ+G79WBof9DlgdD4lkwHUE2HYSE7bx0pK42N1jukNEP4pLpqyDLViRJA7qioM0PlmuKhZfkNBwqhoaGYrVayZEjh2IJPclotC0y2b9/f9555x0OHTpE3759mTNnDu+9995zt0lISCAh4d8LbCMjIwkICKAub6OT9C/dX2CN4hStWJAV09Yp90c8wcXDhekHxnJixxmObTlJt9EdCLl0l5m9f+HutWdbLSmbYkgLzq2RXLoih70P1ofPf5q+IpL7YCRD2VTlPuWTOaybtyVV275K7bbVGLK4b/L6XInmRA5vCGLr77s5sOYICXFPfxHaN/2WJ1K2DWC5Ctr8SNrsyIk3bGtIxf3FS79ktfmQXNqDcxskjQ+y5R6YjoA2O2h8QZMN+WFrsNxMcTpJU0HlKpiTJt3r0+j9evjm8saUYObAmqN4ZffAM7sHXjk8mPfVb2z8dUfK/1Y71PpfNQb8/Bkx4bHERMRiijdRrHJhAOJjE9i74hBbFu3i2JaTWC1W+15zjS9S9p22VoccZ/uRvJC0tvMqsjUC4jcix68F00Ge+TLW+IKxNZJLWyRdIds2loe2eBof5Idvg+VGitN53vRbkiRRtm4gTbq/Sc02VWwt1wQz33Wbyfalyk/iC/Bmp1oM+q33Cx83xZuIj0nAw/ffGUZk82nkuFUQv/blM/1LHkheMyHxvO3C+VdI6ZRkTs4GOg1ry99T/yH8fkSKtoEUfkYNNUDSIzl3RI78FiQtWG69dJPIKCveRa8QERGBh4fHS5+bpou4s2VT/iTgk6xWK5UqVWLs2LEAlC9fnjNnzjBr1qwXFrdx48YxYsQIu/dVs01VBi/qzdn9wayauUGVrgmji4Gg7aep2KAMLT61DX/NWzw35eqX4vfRy1k+eS2J5hS0vp6k9QfZZDsill/yRW0+ihz2HrKhJpLxTVvrTePDwX+Osfm3nWg0EkgSGo2EpJHQaDSP/5WQNBpO7zmfhr/85a6eusGju+Fkz+MLQMjlezy8E4ZWp8HFw+WZ4mYfCeIWg7Yg6CvY7tHlRfIciezWy9YVErv46daYxgfJfSCSc5unQ2m8QOMNlntgPoNsDQWrfd1GTs4GOg79H//r1xwnZ0Py/QYnPe7eroTefsTlE9cIvx/BpePXUvcnp8C10zf4ffRftpaDpwu5C+dKfszo4sQbLSvhld2D7Hl82Dh/h33B5XjkqEkgOSNJzrbrmJzqAY+/LyRn0OUDfUWwPADLpX+31eZHcusJhkpI2jxPBDXbppayhikynVfO/NkpXKEAOr2WsHsR5MyXHY1G4sZ59a7JO7P3AuO7TCM2Mo6YiFhiImOJjYx7/BOL2ZRIvfY1+HB8Z7Yu3k277nOffm1exqkuklM1cKqGbLkNCnXxJcSZ+HXYUnW6ah+vBCAn7FA+NqlouRUoUABJevES5leuKLdUeL58+WjYsOFT5/JmzZrF6NGjuX37+W9Ce1pueYvn5sb527Tq1YTPprzPrj8PMLHrdMwmOwtMKrTp24zPvn//qfuun73FtB7zkpdnUWqy2efT8kW7dwmsUYxlE1Y57FwP2Foxbfo249Sus5zcde6VR4ipel2MrZDcPoXEa2C5hpx43dYFknjt8TpYz/n7NdlBXwpJXwp0pUEfiBzeE8yp2P9jSUfMOr2OgmXyUrxqEYpVLkzxKoVZ/v0a1v+8LdWx0+LD8Z3IVdCP03vOcXrPeS6fuPbUF1qa3ouSF5LXd2A+jWw6AKbjpGj6Mk020JdF0pcFfSnkyG9eeWT/PClppfj4eVGscmHuXL3PtdMpbxUqLXtANkJvPUSWZTt7KNxsw+oNNcGpOnLUVEjY8MKnqz2ZtFrfXaq23Pr27fvUbbPZzPHjx9mwYQNffvmlveFeqkaNGly4cOGp+4KDg8mXL98Lt3FycsLJyemVsf3y52D4iq/Yt/ow7b58m+Xfr2Hul7+ly5e8JEmE3YtgbKcfMMWZMMWbMMWbH/+Y0Gg06XCuy8Kp3eeS1ztzpDtX7jGz9y/q7iR+JXL8Svu2sT6AhO3ICdufuNOoSDqJ5kSCj14h+OgVYCMAeoPjZsP7adDv6gWXw5HDPrR/O2soJGxFTtiqfE7/8ehuOPvXOH7Oygc3U7nIqBwNCduQE7ZBFKoMrc9s7P409enT57n3z5w5kyNHlH1z9OvXj+rVqzN27FjeffddDh06xNy5c5k7d26aY38+vTsBxfxp9+XbzOr/K39P/UeBjFNGlmW2L9mTbvsTlKTgPJX/kR49BsJrIlOtxK0OxVYFaNKkCX/99ZdS4QCoXLkyK1asYMmSJZQqVYpRo0YxdepUOnXqlKa4NdtUpWqzCv/up3E5XD3Vmd9MEARBSH+K9YMsX74cHx8fpcIla968Oc2bK3eBn7ObkZ4/fADA7Yt3+OO71WxeuBNzglmxfQiCIAiOZXdxK1++/FMDSmRZ5u7duzx48IAff/xR0eTU0HVkOx6GPOLHvvPZu+KQQy9eFgRBENRhd3Fr1arVU7c1Gg3Zs2enbt26FC9eXKm8VGEwGti74hCz+y9wdCqCIAiCiuwubt9++60aeaQLU7wpQ4wOFARBENSVouIWGRmZ4oCvuvZAEARBENSWouLm5eX10gu3wXbuTZKk5MVLBUEQBMFRUlTctm/f/uonCcJrwUCKJ/0VQFcc5MSUTyMlCApJUXGrU6eO2nmobkXwKTzcFbusL5na09gIz3Lka56vZB4Klsmn2uS6GVVqXnONRsPUPaOY0fsXgo+4KZJHobL5iYmIfe5E40LGodZnNFE2Aymb4jHV17nFxsZy48YNTKanj2LLlCmT2pCCoIrseXzx9vMi+MjlNMeSJIkeP3zAsS2niAhN+bno11GzTxpQolpRRacVq9ykHOaERP6aslaxmELWZHdT5sGDBzRv3hx3d3cCAwMpX778Uz+CkNG8/flbFCqXX5lgkoRXdg96/tBNmXhZlI+fF93H2mYS0ju9fKkpe1RuXJ6arasqFk/IHF415uN57C5uffv2JSwsjAMHDuDs7MyGDRtYsGABRYoUYfXq1XYnIAhqMroaafpRAwqUyqtIPI3G9iGr16Emb7SopEjMrOizKd2Sp7TTOynTcnPxcKFk9aKUrF4UHz8vRWIKGZublyttB7Tg3a/etntbu99127ZtY9WqVVSuXBmNRpO8LI2Hhwfjxo2jWbNmdichCGpp+F5t3L3dyFcyz6ufnAJPHkH2mfURJ3edJSYiVpHYWUXlt8pR+a1yybd1CnVLlq9fCp3eFqv625VZO2ezInGFjCdviTy06tWEBl1qE/Uomo9KD7A7ht0tt5iYmOSVt318fHjw4AEApUuX5tixY3YnIAhqkSSJNn1sB1v5FWq58UTvyK3gO9R+5w1l4mYhp/ec5/uPZwOwYto6xc65VXqiYNZoVUWRmELGUrRiQcZv+Jqfz0yhxaeNcHY18sOnc4mNtP8A0u7iVqxYseQ11sqVK8ecOXO4ffs2s2fPJleuXK/YWhDST5Wm5clT1B+wnQPy8HVPc0yrxcqE96bz4NZDLp+4xvqf1F9rLLOJi46nYsMyXD97ix/7zufAWoUOemWZk7vOcuPcLW5eCMHo8up1G4XM5dLxa0SF/bu6/aYFOzi0/niqYqXqnNudO3cA21RcGzZsIG/evEybNo2xY8emKglBUINWp2XZpFUArPtpiyJdk1dP3WDLol0cXHeMqs0qpjleVlWxYVmObTkJ2Ka9U8IPn83j9sU7xEbF82Pf+cTHpmA1byHT0Gg0fPxdF+q2q86l41d5dDc8TfMA291f8ORaauXLl+fatWucP3+evHnzki2bWP1VyDj2rTpMwbL5eHQ3nCkfz0Gr0yoW++DaozT/uCF5ivpzKzhEsbg582Un7F6EYgXhVbQ6LRqtRtEln/IU9Sdnvuwc2XRCsZhJEs0WtDrlr1cV/uXi4UK+Erlx93Xn0Lr0OdXk4u7MkMV9qfRWOWb0/pmDa49RqFx+osKiUx3T7uK2c+fOpy7qdnFxoUKFCi/ZQlCdNi841YbYJcCrpj/Tg6E6krEhPn5beHQ3PB0SfE4WTno6DmlDyOW7HNtyiochj1TZj1++HNy7bjsvbElUbmq4oG2nMcWbqNqsgqLFLSE2gVlHJxC0/TTrf97GpeNXFYv9JM9sHjT7uAEFy+RjbMcfFI1dsVEZzKZETu48q2hcsP0fJg0qyaqc3Yx8Ob8nOP8DCVtUXVVbo9XQsEttilYqREDxPOQtkRvfXN4AzOj1M5IkIcuyavsH2wHdqNWDyJE3G183H8eRjUEAab5Q3+53ScOGDfHz86Njx4507tyZUqVKpSmBjMcJkFFjiiWNRkO1FhXZt+pw2oPpioJTIyRjIyR9CWTLbeT4dWB9XpFwAqdaSMbG4FQfSeOBbLlLkw9ldAYdeoPuqX91+qd/1xl0rJyxXtGjOHOCma2/72bqnlHcuXKfvjW/VrT4JHH1cuXetQeKx42PTSBo22kKly+gaNzwB5HMHrCAseuGojPomPrJXFW+XDoN+x/NPmrAp+W/VHxNw/yBAZzZe574mHhF44Kt+JtNiYrHTdKmbzMC3yjGnhUHOfjPMWKj4hSLXbZuIB0GtSbRbMGSaEn+15J0O/Hf2wXL5EPjOQpZHgHmY8jxmyBhM1huvSC6FowtIH6lXTlZLVb2rTqCt58XNVpXTS5sAJ9P787Hk7pw9+p9vmk1kdsX76T+j3+Jb5Z/gdHVid7Vh3Lj3Iv+PvtJsp2fnNDQUJYuXcqSJUvYv38/pUqVonPnznTs2JE8eZQZbq2kyMhIPD09CQsumILpt7Ro/M5jjRgM8ZtBjnhlfHummSlcvgCTd4zgx77z2Tj/1fN1bgwJemGeGCojGWrbipa+uK24hbYB+T/FTeOH5N4PnBogaf5dsUGWzYTdiyHRlIjZlEji4x+zKRGL+d/7kv79Z+5mjm4+meK/NaVKVCuKKc7E5RPXFI+dRK2jT6OrUZUvcID6HWty8J9jql1mYHRxoliVwpzYcUaV+E7OBhLiMt8cnM0/aUixKoU5vCGI41tOpalb7L8CaxSnTZ9maHUadHodWp0G7eN/dXodOr0WrU6LVq8le4Avrh4uydvKlluQsBs55hewXHs2uMYfyWuKrRBGfQ+8vJv5ed9beoOO+h1r0nZASwKK52Z85x/w9vMiV8GcLPz2D6LDY54NpIB8JfMQfj8yRTP+JMpmdrCKiIiIV65AY3dxe9LVq1dZvHgxS5Ys4fz589SuXZtt27alNpwqUlzctIWR3D4HYyNIvATm48iRr167zt451PQGHYE1inNq97lXtlReXNz+Q5MTDG9A/Dpe3OLUgr4MklNNMNQCXT7aZOuv2htWEITUcXI2MPfkZHLlCUZO2A0Ju8CSsvkUU+pl31uSJFGpcVnuXQ9VtCWlhHQrbgAWi4X169czbNgwTp48meGWvLGn5Sb5rkbSlwCwtd7ilr8yvpqT+Ka4uKWG5MG7pcuJ+REFIYMxuhqRrVZWXz6k2j4y64Tv9hS3VA872rt3Lz169CBXrlx07NiRwMBA1q7N3JOZynF//3vDdNRxiaQHOWXdAIIgpK/4mPhM2aWb0dg9oGTIkCEsWbKEkJAQGjRowNSpU2nVqhUuLi6v3jiji1+N7P4VyFFgUWeUmiAIgqA+u4vbjh07+OKLL2jXrl3Wu67N+ggSdvLUHEuCIAhCpmN3cdu3b58aeWQYctwK0OV3dBqCIAhCGmTtqyFTI2E7WPI7OgtBEAQhDcQ8Ns8wQ+JFRychCIIgpIEoboIgCEKWI4qbIAiCkOWI4iYIgiBkOXYVt3/++YcPP/yQr776ivPnzz/1WFhYGPXr11c0OUEQBEFIjRQXt8WLF/P2229z9+5d9u/fT/ny5fn999+THzeZTOzcuVOVJAVBEATBHim+FOC7775jypQp9OrVC4Dly5fTrVs34uPj6d69u2oJCoIgCIK9UlzcgoODad68efLttm3bki1bNlq2bInZbKZ169aqJJjunOrZrnUTBEEQMq0UFzcPDw/u3btHgQL/Ls5Yt25d1qxZQ/Pmzbl1K2MtjZBakktXZMtN27I3giAIQqaU4nNuVapUYf369c/cX6dOHdasWcPUqVOVzMsxJHcwVAFDXUdnIgiCIKRBiotbv379MBqNz32sbt26rF27lvfee0+xxBzCqS6SpEdyquPoTARBEIQ0SHFxq1OnDoMHD37h43Xr1mX+/PmKJJUkMTGRr7/+mgIFCuDs7EzBggUZOXIkVqtV0f0kkZwa2H4xVATJTZV9AOid9KrFFgRBEDL4RdwTJkxg9uzZzJgxg3PnzjFx4kQmTZrE9OnTVdibAZxqAyBJejDUUGEf4JnNg+7jOqoSWxAEQbDJ0KsC7N+/n7fffptmzZoBkD9/fpYsWcKRI0eU35m+JMQuArdPkePWgC4fJCi7i+wB2Ri/8Wt2/3VAgWgacP0QSZMT2XINEq/aJny23lMgtiAIrzONVoO7txsRoZGOTiXVMnTLrWbNmmzdupXg4GAATpw4wZ49e2jatOkLt0lISCAyMvKpnxQxByFHzwRATtgBMXPTmv5TNBoNH4zuQN7iuTm586wCEa0Q8ytofNF4fIPGZz7oCtkVwcXd+aWPO7sZKVqxIG92qkVAMf805PpiJd8oikaTod+Gz5WnqD+5CuZUJbbBaFAlbnpS82/QaDWUq1dKldiSJCFJ6ixWnCNvNmq/8wZ++XOoEh+NMp/Ras0rMvfEZLLl8SGgmD8NutRGb1CvHeSd00uVUzUZuuU2cOBAIiIiKF68OFqtFovFwpgxY+jQocMLtxk3bhwjRoxI5R5NWENbg0X5yxqsViszev/Myd1nObvvgkJRTcgR/cAaCvpyYD6dss10JZHcPqX5p6H8MWk12fP4ElA8NwHF/QkolpuAYv4EFM9N9jy+yZtM//wnbl4IUShvGydnA0MW9+X2xTsMajwaWZYVjQ8wZHFfgo9eZvnkNYrGbdO3GQ0612ZMhykc/OeYorFLVCtCh0GtsSRa+G3kn1w4fFnR16Zuu+q82ak24Q8i+GXIEsLuhSsWG+CtD+rzv37N+ah0f0XjArh6ujD3xGTMpkS6Feut6Ovi7uPGlF2j+GnQIg6sPapY3CTl65fii196AhARGknwkStcOHKJ4MOXCT5ymYd3wgAIrF6MvCVyA6cAS8qCS15InuORY+aCaU+q8itaqRAfT+xC2bqBAEzePgJXTxcArp66weWga6mK+yrfLh+AVq9jZNvveHDroWJxM3RxW7ZsGYsWLWLx4sUEBgYSFBRE37598ff3p2vXrs/dZvDgwfTv/++HKjIykoCAgBTu0QqJKSwQqRATEcv6n7YqHFVGjhoN2rwgv6KVqq+I5PZZ8mjQ5p/ep/Owd3B2s42CNZsSuX3xDjfP32bzwp3cvHCbm+dDuHkhhNjIWIXzhg5D2uCTy5tjW07i4+eV/OFWUtGKBQm9rdwHBmxfgg3fq4PRxYnmnzTixI6zxMfEKxbfFG+mYqOyANwMDuH8IWWvufT286Ja84pEhEYyufssRWMDnDsQjLu3K3mK+nMrWNkDorc+qI9PLi90eh1Vm1VQtAhFPYomNjKWdwa0VKW4bfx1B4fWB1GsciGKVipEsUqFaP5JI7y+9gAg9PYjLhy+xJ0r92jbvwVyYiPkqO8gYcurg8vhyGGpG63uVyAHH4zuQL0ONZ+6/8y+C6z44R/OH7pEdHhMqmKnxI/9fuXb5V8w88gExrSfwtn9wZR8oygndpxJU9wUFbc2bdqkOODff/+d6mT+68svv2TQoEG0b98egNKlS3P9+nXGjRv3wuLm5OSEk5OTYjlkGpYbL35MXwHJ/QskQ+Wn7o6LimPNrI3cPH+bm+dvc+fqfawWdUai/pevvw96Jz1dC3+u6NFaEs9sHlgtVoyuTsTHJODm5arYB7TZxw0wJ5iZ8flPbPx1hyIxn2SKNwHw4NZDFnyzTPH4WxbuovvYTlw8ekXx2ADXz96ib61h+OXPoXhx+2vKWoK2nab/T5/Rpk8zxYvQn5PX8M2fAyhWuTAXDis/kUPYvXAOrD36VN458majWOXCyQWvSfc3AZB0hZC8ZyGbjiFHTQKzCmMNAKOLE5sW7uTgumN4ZvfAK7sHntk90Ol0nN57QdEDt+cJPnKZHpUGMnRJXyZsGsamhTup1KgsH5cZkKbPbIqKm6enZ6p3kBaxsbHPnI/RarWqXQqQZZmPIYd/jqzNC9q8SLp8oM1L6O18bJy/nciHUeme0sOQR8z76jfV4lsSLfwaPA1XTxcadK6Nr783Uz6ek+a4Or0OrxyedC/ZT/HuvCTmeDMAP/adT1y08l8sUWHR7Fy2j4d3HikeO8ndq/e5e/W+KrEvn7hGr2qDadu/ObkL+3H70l3FYu9dcSi55TSmwxTF4r7M/Ruh3L8Ryu6/DiBJEqPXDKJK0wrIcrztlANaJNcPkeM8IGGb4vu/duYm187cVDyuPSJCIxn01mh6TvuAlp81BqD3jx8xtuPUVMdMUXFT+vq1lGrRogVjxowhb968BAYGcvz4cb7//ns++OADh+STqVkf2X7MQSSdpRjarJwjM1JVdHgM92+EUqRCQXIVzMm0HvMUiWtJtDC7/wJFYr2IKd7MoXXH2PP3QdX2sXbOJnxz+6gWX21Wi5U/Jq1WPq7Vyl9T1vLZ1G74Dc5B2L1wEuJMiu/nRQxGPTP7zGd0+ymsDFZiVHXmkSMgG2Vql0y+Xa99DQ6sPcK2xak7h5iqYWqJiYls2bKFOXPmEBVlO+oPCQkhOjo6VUm8yPTp02nbti09evSgRIkSfPHFF3zyySeMGjVK0f0IWVNSn33Y/QiObT2lSEw1Br38V0xkLNN7/azqPs4dvMjRTSdU3UdmtXH+dmLCY+g07H8MWtQnXfedEGci5PJdVVrsGd3da/f5pNwXfNNqAgfWHsVisdJrxofkyJstVfHsHlBy/fp13nrrLW7cuEFCQgINGzbE3d2diRMnEh8fz+zZs1OVyPO4u7szderUrDFvpZDugrafpm3/Fuxevj/dziUqIepRNFGPlD1QfJ7X8Qs0Jd7qXp8HNx/yVrf6JJoT0Wg04lRIOrFarOxffYT9q4+QPY8vjbvVo+uIdkzuPsvu/wO7W259+vShUqVKhIWF4ez873VSrVu3ZutWpUcCCkLqndp9HovFyrYlex2dipCJnN13Af8ifoDtHGv2AN9XbCGo4cGthywatZzJ3Weh0drfyWj3Fnv27OHrr7/GYHj6Is18+fJx+/ZtuxMQBLXERsayd8UhBa8rFF4HwUevMKb9FCyPW/tqXawvpIzVaiXRnGj3dnYXN6vVisXy7IWFt27dwt3d3e4EBEFNswcsSJfzZELWcvCfY8x4fN4zVyFR3DIju4tbw4YNnzoHJkkS0dHRfPvtty+dFksQHOHBzVBHpyBkUmtnb2LZpFX4F/JzdCpCKtg9oGTKlCnUq1ePkiVLEh8fT8eOHbl48SLZsmVjyZIlauQo2EUDiJPfgqCEnwf9To3WVRydhpAKdhc3f39/goKCWLp0KUePHsVqtdK9e3c6der01ACTjKZ10dLopKy+jpoTOLeAuOWOTkRVG0OCVIvd2L+carEFx0j7++U4zHj+I+L98nxqfUYjo6x4F03Zc+0ubvfu3SNnzpx069aNbt26PfXYyZMnKVOmjL0hBaUYmyAZaiBn8eImCILwKnafcytdujSrVz87M8B3331H1apVFUlKDakZSprZSC6dQF/C0WkIgiA4nN3f+AMHDqRdu3Z8+umnxMXFcfv2berXr8+kSZNYtkz5SV6V8sl3XXhv+LtkD0jd1e4Zni4QyVAOtAVAcnF0NoIgCA5ld3EbMGAABw4cYO/evZQpU4YyZcrg7OzMyZMnadmypRo5KmLJuJW07NGY367MZNTqQVRrXjFLteYkl462fyUN6Io7OBtBEATHStW3e8GCBQkMDOTatWtERkby7rvvkjNnxr4WJPx+BFM/mYNWq6Fa84qMWj2In05PIU9RdVaYtod3Ti86DG6NV45Urr4gedgGkiTRByqTmCAIQiZld3FLarFdunSJkydPMmvWLHr16sW7775LWJjyi00qac+KQ2x6Yv2t03vPE3JZueUy7FW4fAG+nN+T36/PQqvXEn4/InWBND7Ij2yDe+SYnwGtckkKgiBkQnaPlqxfvz79+vVj1KhR6PV6SpQoQb169ejSpQulS5fm1q1bauSpmJl951O2XiCn95ynUde65MybjTEdpqbbmmYajYbqb1eidZ9mycs7XD11g6XjVqY+qOUaIAEgJ2wD06E05ykIgpCZ2d1y27RpE+PHj0ev//easUKFCrFnzx4++eQTRZNTQ2xkLBO7zmBaz58Y1GgUhcrlZ+bh8RQqlz9d9q/RanD1ciWwejEALBYr33X/MVVzpz1Fm8P2r+VBGjMUBEHI/OwubnXq1Hl+II2GYcOGpTmh9HBy11liI2MJ2n6aHpUGEvUomql7RlOvQ03V9+3m7UrTDxuQaLZgSjDz15S1BB+5nPbAmsfnPK3qrH4sCELa6Q12d5alnCaLjgRPpRS90tOmTePjjz/GaDQybdq0Fz5PkiR69eqlWHLp4f6NUPrWHEa/OZ8w5Pc+FK1UiLlfLFRlst18JfMweu1g9E56+tf5hqYfNWDhtwpdPqHJgWyNBjlGmXhPkCRJ9cmHff19MCeY0617WBBeLOlrMY29Kf+h0Wj4X//mXA66xuENQYrGRlcUyfg2cvQkZeMC2XL78OhueKZaExFSWNymTJlCp06dMBqNTJky5YXPy4zFDcAUb2JC1+lcOHKJ/KXyqvZFbk5I5M6V+0zqNpMHN0O5cuJ62rsjk4MfQY7+XplYT3DzcmXwot4c2XSCFdPWKR4f4K0P6tPq8yZsX7aXZRNWKhhZA/oKSMaGyAk7wLRfwdjQdUQ7rpy8zu6/DigaF6BQ2fzU61CD30b8SUKcSdHYOr2OD8Z2YNviPVw6flXR2ABNutcn0Wxh88Kdisf2L+RH93GdmPzhLGIjYxWObkByHwwaT+ToGWC5omj0NzvXoss37yBpNIztOJU9fx9UMLoW2bRHwXjg4u5Ml+Hv0vyThnTO34OI0EhF4+P0FgCSvhRy9HSQ9CArt0hvirolr169iq+vb/LvL/q5ckXZN0N6Wzl9PVM/maNa/JDLd/mqwYjkmeoVK2wA5iCI/U25eED+UnmZcWg8Jd4oys0LIYrGTlK0UiHeGdCCQuXy0/Kzxspee6jJieQ1Dcn1A9D4KBcXyB6QjfaDWpEtj7JxkxSpWJB2X7Ui0fzs8lJppdVpeGdAS/KWyK14bIAqTSpQX6UuflO8iSpNy9NxSGuFIxuRvL4Dl45Izi1Aq/xrkzN/dgxGA3qDjq+X9adBl9rKBU88p/jBW2xUHHMGLKBDnk+IiVD6QALQ+KDxno7k9glS9i0gOSkbPi0by7Is1srKomq/8wbT9o8hITaBnpUHcWRjkCr7CT5ymQXD/yD8QSQ58maj+tuVlQtuvYMc+bXtd0nZtQbb9G1GXHQ863/apmjcJJ7ZPYgKi8aSqHxxS/rIajTqTGJw/2YoOfKqc/4n9PYjlk9eQ+s+zfDLn0PByPHI0bNAjrPd1OZRMDZodVpO7jzLzD6/sP7nrVw8eoXeMz+ixWeNFN2PGqLDY5Q9EE9iuf7v7/FbwPpQ0fCpenf//PPPlCpVCqPRiNFopFSpUvz000+KJiY4hkar4aOJXRi2rD8HVh+hT/Wh3LlyT9V97vpzPx8G9mPHsn20+ryJssETtiHH/AQaD8VCunm50uyjBqyZtYn4mHjF4j7JK7sHEQ8U7gZ6TLY+PnciqRKe+zdCya5ScQNYNnEVUY+i+WBsR2UDJ55DjuiHLFuQFG65WRItnNx5lpXT1/P9R7PpVW0wrby6cmzzSbS61/S61MfFTZYTkWOVrx92F7dhw4bRp08fWrRowZ9//smff/5JixYt6NevH19//bXiCQrqMxgNVGxYBg9fd8atH8r/+jVnzhcLGNvpB+JjE9Ilh4jQSMZ0mMLKGevx8fNSNLYcNRkSLykWr/mnDdHqNKycvl6xmP/lmU3F4qZ2y+1GKM6uRtx93FSJHx8Tz4JvllKvfQ1KVC2ibPCE7chR41Tplvwvq9XK7Ut3VWmdZwqWO8iyCeLXgOW24uHtHpc6a9Ys5s2bR4cOHZLva9myJWXKlKFXr16MHj1a0QQF9XUf15GiFQuRLY8Pzm5GBjcexfFtpx2Si7In2ZMkQoIy3Yd6Jz2tezdj82+7CLsXrkjM5/HM7kG4SsXN+rjlJqnYcgPIkTcbUY+UGyDwpI3zd9CqV1M+mdyVvjUVPqiOXYBszNizLWUNFrDcRI6Zq0p0uw/dLBYLlSpVeub+ihUrkpioQr+soKryb5amTZ9mlKppm2y5R6WBDitsmUGDLrXxyuHB8slrVN2PV3YP5UenJXnccpNUbLkBqp13A1uBnvPFQgKrF6P2O28ov4P4Z5f1EpQnx/ysaK/Kk+x+d3fu3JlZs2Y9c//cuXPp1KmTIkkJ6cPNy5Uv5/dMvu3j50Xlt8o5LqEMTpIk3hnQkn0rD3MrWJ3Ro0k8VTznpnbLLfx+BKYEs6rFDeDYlpMcWneMD8d1UvfiaEE9Ki6snKp3xM8//8ymTZuoVq0aAAcOHODmzZu899579O/fP/l533+v/HVXgnJ6zfiQ7Hl8uX72Fv/M28yWhbuIClOnGymzq9+xJgmxJgKK+TOp20zV96dmt2QStVpusizz4OZDcuTNrkr8J8358jfmnviOt3s1Yeui3cRFx6s2yEdQg3qj7e0ubqdPn6ZChQoAXL5smzYqe/bsZM+endOn/+3OktQ6LBSU4dQAq8VKv9rDOL3nvKOzyfC6je6As5uR4COXuXv1vqqzthhdnDC6OKnWcgNb603Nj+j9G6HkSIeFgW+cu8W6n7bSaej/qNSwLEsnrCRou+hWF1JR3LZv365GHkJ6S9jJhK6hjs4iU9AbdGQPyIZWq8Ezmwedvv4fM3r9rNr+PLPbLluICFVvKjJZVq/lBvDgRih5iqm/VmKRCgVxdjPi5uVKxUZlObnr7OtZ3CRvkKNQesqwzCzrLEUt2EcyOjqDTCNn/hxoH8+csnflIX7sM1/V/SUXNxVbbrLVikajTtMtoJg/92+FkjNfNup3rEmuguotZHzp+FVio+KSb5eoVlS1fWVoxjfBUMHRWWQokpzFpxiJjIzE09OTuryNTtK/eoMszi9/Dj4c34m/f/iHKX/9odp+GvuXUy22mjaGBD17p1NdNN7zkE1ByI+6ACqe0zFUAck2LZH1QT2wxoL8SLn42gKgzYPkPRtifkZOvGi7zkhBklt/cO2GJBmRZQvyvbKAutdLSu6DkVw/QLY+Qr5f9anHstR78QUkrx/Bch05akKKnq/2a2JP7vaIjLLiXfQKEREReHi8fGIG0XJ7Tbi4O/PB2I78fHYKLh4unN0f7OiUMg9tPuTEa8hhn6BqYQPQlUDymgyA5LMMtAq3eix3kLxnIkkGJLfP/l0qSUFy7GKSz3hYrqF2YQOQo8YhR89C0viANr/q+8tYnMCpJjjVc3QiGYooblmcRqOhSff6/Bo8jQ6DWmMwGlig1DI7rwvJHTmsu7ItqBcxn0CSDLbfrfdsE+IqKh4S9v57M2GHwvEB612I32j7PTH9DqLk6O+xRk0Fffl022eG4FQdSXJG0hUCbT5HZ2M/Y3NVworilsUVLp+fuu1q4J3TC4D9a45w4bA6F01mZi+d3y/2F7DcSJ9EzGeRZTMAcuyfquxCTthq+zfxJljUeS/IsQts/5rTuYcgZiaYD6fvPh1Mcqr/741M13rTILkPBEn5qdpEccvi7t8IJVtuH2Ier30lWm3/0ul11OtQk6FL+uHk8pLlNmQVlvt4IRMknke2xip+LixZwnZk2apOqy2J+Tiy+RQkOuAyE8ut9N+nw0hgqIFsjUG2RiA51XV0QvbRV0TS+oGh6qufaydxWX8W5u7txviNw3DzdqN3tSG8/flbXA665ui0HM43lzfNPmlIs48b4uPnxeC3Rquw8GUamE6AFKzowo1PsT4Ec5BtAVcVyTEL0rVbMqU0Wk2mW1X6xZyQH3VE8poOiReRY+Ypvgf/Qn6EXL6reFwAyWhb8kdyqp3co6AU0XLLolzcnRmzbgjZA3wZ2HAkN87fZqbKQ9gzOmc3I1/9+jmLrv1Il2/ewcfPi/U/b+XIphOOTu0psvkkcpx6I1kB5Pg1YFJjkuonxK8Hy01195EKOQKyMeT3PpSrV8rRqSgg3naOM2n9IovyK6u/80UL9aZSe1zcMNRSPLRDi9uuXbto0aIF/v7+SJLEypUrn3pclmWGDx+Ov78/zs7O1K1blzNnzjgm2UzEydnAqDWDyFs8N4Maj+baGdsXTNY5Wk2duOh49qw4iE5v67C4fzOU2QMWOjir50jYBuZj6u4jdinqj2I0oeb0Sql199p9Lhy5zKSt3zIn6DuadK+PwWhwdFoKUOe1LvlGMRp3U+Fcnq4UktZ2ob+kC1B8lKtDi1tMTAxly5ZlxowZz3184sSJfP/998yYMYPDhw/j5+dHw4YNiYpSb+aGzE5v0DH87y8pUrEgQ5uN5eKxK45OKcN4s1Mthi7py9n9wZjiTUz9ZE7G6o5MIkekw05e75ksVvywjnMHgilYJh/9533G4huz6DysLRqt6Mx6krObkXyBATR+v57y6/9p8yBH/whg+1dXSNHwDv2fbNKkCaNHj6ZNmzbPPCbLMlOnTmXo0KG0adOGUqVKsWDBAmJjY1m8eLEDsk07V08XVeNrdVqGLu1HmTol+fbtCZzZd0HV/WUWkiTxwdiODPqtNzuW7eOL+sOZ/vnPHN4QpPzOXLqB6ydgqAGSp/LxX1fawoqGs1qtTP5wFmaTrcg7uTixb9XhzNu7IUmo0XIrWqkQWq2GnPmyU/5NhbtxEzYgm/YBIMf9Da/LOberV69y9+5dGjVqlHyfk5MTderUYd++fQ7MLPV6z/xItSXlNRoNAxd8TtVmFRjRdnKGXpNNo9HQ9KMGqq0E/SRnNyPD//6Sdl+9zdyvfmNSt5mYE8xs+EWZxUvBAJpcoC8DTvWRtP5o3L9A4/MrmpxHkLJtQ/KaBs7tAHX+77MmjW0knftg22vo2lXxPVw/e4vfRy/nwa2HxETEMnLVQPKXyqv4ftKP8sWt+BMrnb/1wZuKx4ekWaOU70nIsKMl7961jc7JmfPpGRRy5szJ9evXX7hdQkICCQn/nkuIjEzZ/HzObkZa92mKJEn8PvqvVGT8agnxJnIXycWNc8oPVfbN7UOpWiUY1+kHDq1T8nyNAbT+oM0Npn2k9QNUqFx++s7+BJ9cXji5GKjYoCw3g0OYM2CBMun+R9FKhWwt2VYTObD2qOLxpWwbbOcLHpPl/xz5W+8jx2+zDa7AYl9wYxMwn1JnaLu2EFhDVegC1YFrd4iZS6reK/qKSM6twKkBkvbfQQyytrXtfrTIoU0fz3ySdkvHryTiQSQH1x1n1OqBNOpah7lf/qZI7P8KrFGcxt3qMX/oErxzemJ0dVJupiDTMWQVBu9EPYpm4Yg/cHF3Jmj7aeVXw7CG20btWpU/PZBhi1uS/y6dI8vyS5fTGTduHCNGjEhxfIPRQMuejWk/sBXO7s6s+OGfVOf6Kt9/+Owir0p5cDOUbsV6kxBnUjSu5DkOJAPoKyI/qPP4XrPdcZzdjHQd2Y5WvZomT0L84fjOnNl7QZVin+TEjjN0LtCDmAh1zq3JUaOQ5URbobCGgjYXeC+AuJXIcUshMQ1dw9YocGoAsb9hd2F8pUTQFQazwgXf9QMkXXFkyR3kVEz8bD6FLBmQ5GhkQy0kfTHb/aZDyAk7QTaDVbmZYiyJFtbO2QxA35rDMMUr+/l5km8uL2q0qkLtttU4uvEEFRqW4Yv6wxW5PEeOGpPmGM+zbt4WVeImSzyNHPaRKqEzbHHz8/MDbC24XLlyJd9///79Z1pzTxo8ePBTC6ZGRkYSEPDvkXXpWiU4uz8YjUaiyYdv0nFIG7xyeLJh/nZ+H/0XD25m3mVglC5sAGiyITlVR5bjkXz/RH74rt0harSqQo8fuj2zvtfS8Sv4bYQ6s3A8Sa3CBkDCf5aAkozID2ooc+G3aY/tRw2W67YfpcUtR05T8TGBaT+yaT8wAVnjB061bFNLxS5EzdGXai9yumv5AY5vO837o9rT8rPGAIzfOIwBdb7hxvnbqu77dZRhi1uBAgXw8/Nj8+bNlC9vmyvOZDKxc+dOJkx48czXTk5OODk9f7aJCg3KMGLlV8z9ciHtvmpF9gBftv2+h99G/qnaRYqZn61gSpIRa+TY5NspJUkSZ/aep2/NYRicdOid9Oid9BiMenQGXRa7oJYMeV1XulKwVWWLdxfi/syAFxSkTkKsiWz+Psm3vbJ7MGHzN/SrPYy7V+87MLOsx6HFLTo6mkuX/p3b7urVqwQFBeHj40PevHnp27cvY8eOpUiRIhQpUoSxY8fi4uJCx44d7d5XpcZlGbVyIAajgd4zP2LXn/sZ0nSsql1iWYJsK2Zy7F9gPmT/5rJMuIrrkglCZmKKN/Ft64nkLpKLUjWLE1ijOKVqFGfi5m/oV/sbHoakw+TcrwmHFrcjR45Qr96/FwcmdSd27dqVX3/9la+++oq4uDh69OhBWFgYVatWZdOmTbi7u9u9r0GL+iRfqBkTGcvWxbtFYUsJ2WRbIyuF60QJgvBqty/e4fbFO2ycb+vW9srugWd2D1HcFOTQ4la3bt2XjryRJInhw4czfPjwNO/r7rX7nNxyjssnrnE56JqYYzHFTMhRE0EOc3QigpBlhT+IFD0cCsuw59yU9nnlQWIl7lSQE/aoNzu9IAiCSjLsRdxCBiEKmyA4juT8Gq4srgxR3ARBEDIqOQ7JcwLoqzg6k0xHFDdBEISMzHwCyWc+GFs7OpNMRRQ3QRCEDExO2IkkGdB4TURy60fy2m3CS4niJgivK8n+S2oEBzAdRrbGACC59UDy/B54/kQVwr9em9GSK4JP4eGufC1v7F9O8ZgZmwF7ZynJTDLa/2fe4rlVmZrJO6cXb31QjyXjVige2+hqJH9gHs4fuvTqJ2dyG0OCVIv95Htx+N9nqNGqCqYEMwMbH+TC4TKYE+yf4zW9qPU5SpTNQMrWqBQtN8E+rh87OoPXygdjO6qyDmDd9tUpV0/h9bkeq9KkHNVbiQEQSjq0/jizByzAFGeiyQdvZujCphZnNyMVG5ZJ8fNFcRNSTl8OyaWTo7PIcKo0raDKOn15ivrzRstKBBTzVzx2g061KVm9GDq98p03NdtUo1KjsorHTaLVackfGPDqJ2Yh25fs4a8pa5n71W80er+uXV/ymV1AMX96TvuAJTfnkBCf8qIuipuQQhKS+9eg8XB0IhmKRqPhw3Gd8Mqh/KrbbQe0QKPREFA8t6Jx8xbPTdFKhTC6OFGkQgFFY+ud9FRtVoEiFQqq8poA1G5bjfJvllYldkYVF21bsWD9T1s5vu00fWZ/gtHV6OCs1KPRaHijZSXGbxzGL+d+oNXnTdj6+y5O7z6X8hgq5idkQL7+PuTIm+3VT/wv49tIhrJIkgFxMvtf9TvVpEDpvHjnVPaL3CuHJw271AZQvLjV71Qr+ffStUsoGrtiwzK4uDsn/66GNn2bk7/U69Vye9LUT+bg4+dFt9Ht03W/6dlaLlw+Px0GtU5+D925co95A3+3K4Yoblmcu48bNdtUpdfMD/n57FSGLulL+H0757CTXJDcv/j3tmi9AbZWyvsjbV8wPn5eisZu1atJ8kTfAcWUK26SJFH33eokxJmwJFooXaukYrEBarWplvx7pUblFI0NUKJaUYpXKUyBUnkVj51ZhFy+y4Jvl9GqVxNKVC2SLvs0ujjRc9oH6bIvAFmGbHl8k29/1/1Hu9fbe21GS75uvHJ4MnRJX8rUKYlGYzuGuXbmJt+2mmj/asMunUGO+fe25A48UC7ZTKrFZ43ImS87gKItN51eh08ub24Fh+Ds7oxf/uyKxXZyNvBlg5GMXPkV5w9f4sCaI4rF1mg1aHQarp66ARI4uxuRJOmlk6Pbq02fZgDkCwxQPLZ6NCAZlVnA9rG/pqyl7rvV6f/TZ/So+BVmU6JisZ+nw5A25CuZR9V9JKnzbnW++KUH107f5OfBv1OiWlFO7jxrdxzRcsuiYiPjuBUcklzY7t8MZUiTMUSFRdsfLGYuxP+DbA3HGjHI9kF9zbl4uNBxSJvk2145vRSLnWhO5PsPZ2E2JbJ3xUFGt5+iWOz42AQe3AzFxcOZmPAYDv5zTLHYVouVCe9N52HII25dCGF4m0mKFp/sAdmo9b+qALi4O6eue90hrEge3yob0WJl8oezyFM0F+0HqztziX8hP9oOaIHz4+5mtUiSRNcR7fh6aT/2rTzMgLrfsufvg/w0yL7uyCSiuKlEo9FQsEw+jC7pf36qSpPyzDs1mcbd6nPuQDCRj6IZ/NYYHtx6mPqg+opgOgpxf0Gi/UdRWY27tyvftp4EwK7lBxQfri9JEv6F/Ai5fI/bF+8oGhtsxTk2Mk7xuAA6g45EFVoSZeuUZPvSvQBcPXUjc513M1QHl66Khrxy8jp/TFpNh8FtVD0f9un3XTE46TG6OKHRqlMyjK5GvvlzAJ2HteXnIb8zrvMPmOJNJMSZ7O6OTCK6JRWid9JTrHIhStcqQakaxSlZvRiXjl/lyzdHpFsO2QOy0WPK+9RsU5Xj204zrMV4cubPTmxkXBoXZtWBvhxyzAzFcs3s7l1/gH9hPwB+HbaEBzfTcODwHD65vHFyNhBy+a6icZO4uBuJiVSum+xJOr2ORLNF8bhbFu1Co9XQoHNter8xBBcP9VoSGo0Gq9WqXEBrGJL7QGTzGTAr1xW8aNRyarapSv95n9K35jBlc8Z2oPxGi0rJt53djMREKPu+yZE3GyNXDcS/kB/ftJrA/tXKvD6iuCXRFgTLLdAGgOWyXZuWqFqEz6Z2e+bkbrl6pVgZvoCYiFhiImJ5cCOUoc3HKZl1Mmc3I3OCJmGKNzO249TkI1xFZrfQ5gVJApNyH8okuQrmxK9ADo5vPaV4bICiFQsSfDRlMxrYK1fBnESHx3Ar+I7i5358/b0xxZsIuaR8cdPqtCSaLaq13BLNiSTEJagS293HjdDbj4iPTSA+Vvl9lKldkshH0VR/uxLbl+zlzpV7ygS23AVtTtD4KBPvMXOCme8/ms3k7cMpXbsEJ3acUTR+fGwCC4Yvo22/FoTefoSLu7Pixe3b5V/g6ulCnxpDbedrFSLJmeOMbKpFRkbi6elJWHDBl06/JfksBusjMNREflAH5IgUxX9ympmCZfLRoEtt6neshW8ubw6tP07Q9tO4errg6ulCotnCnAEL0vonvVCVphU4vec8sSk8Irdv6iA9YAFSdmSYkul3mnz4Jp99/z43zt3i86qD7cglZSo2LEPN/1Vjxuc/Y0lUviUBoDfoVDuZL0m2CXKz+EfUbmoOJBm/cRhl6pQk4kEkMRGx9K4+9KWfpxR/hjR+tu8XO6aus2cKq5z5snPvunqDvAxGA3onHbJMir9fUip/YABh9yKICH31KO5E2cwOVhEREYGHx8tHbYviBiC5IeU4jCTpkBMvI8f8DHHLgVe/NM97A2q0Giq8WZriVYuwaNTytP0BKkqvefGSJHX1eGX3oN/cT6n+dmXW/7KNWX3nJ1+kKgiOZHRxYsruURQub7u4/dC6YwxrOeGF3X3p/Rl63dlT3ES3JIChCpL0+KWQ3MF8mpQUthexWqwc2XSCI5tOKJNfFlCmTkl8/X2Ii4qj/7xPkTQahreZxN6VhxydmiAkK/FGUSJCo0g0J6LT66jStAIfTezMnC8WOjo1wU6iuAGSoQaArdX26AOwhjg4o6wlex5fvl7Wn4TYBPzy5+DQumN8130WYffCHZ2aIDzl+NZTHN96ChcPFyo1LssbLSrR6P16XD97iw2/bHN0eoIdRHEDcKqBbDqMHPZZis+1CSmjd9LzzfIv8H48z+D+NUf4ttVEcR5JyNBiI2PZ9ed+dv25H41WQ7HKhdFoNVgtyo5GFNQjrnPT+EHiReRH74vCpoKe0z6geJXCALYpn8wWCpbN5+CsBCHlrBYr5w4Ei8KWyYiWm5yAHN6HlI4CFFKuyYdv8manWuxafoBdy/dz8J9jqb4gUxAEwR6iuMlhjs4gS9I76Qm/F8E7Obqrcj2SIAjCy4jiJqjCnGBmv4KT8gqCINhDnHMTVOBElSblHZ2EIAivMVHcBGUZ6iBlW4+kkRydiSAIrzFR3ARlaPyQvGag8fkJ5FgOrTvu6IwEQVV6gw4kN0enIbyAOOf2GlNieh+tTkvr3k14b3g7nI22dd4mfLCRDbfVK25iWiLBHmpOkbVz23wuHr/K6pkbSIizcxFgQVWi5SakiVan5f7Nh+idbMdJd6/dZ8eyfQ7OShDSx9IJK/lwfCcWXJxO808bodOL9kJGIYqbkCZWi5Wm3d8kIc7E1dM3WD55jWoz8AtCRnPl5HU2LdiBr78PfX78iF/OTaVBl9poNOKr1dHEYYY2D1huk5aJkl9XkiQx4KfPKFM3kCFNxqDTazm1+5yj0xKEdPXrsGXUbVcDo4sTvrl9MMWZbFN1KbxwqGAfcXih9UfyGAmI0X326j6uIw261GZi1+kEbT/NkU0nxHkH4bXzMOQRyyev4eGdMGSrTNOPGqLVia9WRxP/A+ZzSC7tkdy/cXQmmUqrXk1o91UrZg9YIM6xCa+9PyatYvGYvxjabCwlqxdl9NrBGF2Nqu5Tq9OqGj+zE8VNjkJOvI7k2hnJ/WtHZ5NmxSoXpmilQqruo/Y7b/DZlPf5c/Jq/pqyVtV9CUJmEBcdz+ofN3JixxmGNBlD0UqFGLd+KC7uzqrtM7BGMep1qKla/MzOocVt165dtGjRAn9/fyRJYuXKlcmPmc1mBg4cSOnSpXF1dcXf35/33nuPkBAV1loznwZAcu2K5D44TaG0Oi1GFyclsrKbd04vvv3rC6LDYlTbR5k6JRm4sBfbl+xl3leLVNuPIGRWp/ecZ1CjUeQvFcD4TcNw83JVZT8XDl1iwE+f0e6rt1WJn9k5tLjFxMRQtmxZZsyY8cxjsbGxHDt2jGHDhnHs2DH+/vtvgoODadmypeJ5yIln/72hLQD6cq/eSFsYXD+j18wPGblyIDMPT2BZyDyWhczFM/vLlz9Xg06vY9gf/cmex5dHd8NV2Uf+UnkZseIrTu8+x3cf/CjWZBOEFzh38CIDG44kd5FcTNzyDe4+yl/snRBn4vSe83w4vjO9Zn4oRmj+h0NHSzZp0oQmTZo89zFPT082b9781H3Tp0+nSpUq3Lhxg7x58yqXiPk0csJ+0JeBxEtgDnr1NpZLYM5F8cpvP9UNGB0ew+fTu3P5xDUuB9l+7ly5p3oh+GxKV0rXKkFcdLwqy8pkD8jGuPVDuXv1PiP+9x2J5kTF9yEIjqEDQ2UwHQOUW8Ei+OgVvnpzBOM3DeO7bcMZ2HAk4Q8iFYsPcGzLCSo2LEPLzxqTzd+HsR2nqjKoq0ydktw8H0LYvXDFY6slU5X6iIgIJEnCy8vrhc9JSEggMjLyqZ9XMp9CjugLsQvAtQtofFOWkGk3PasMYnibSVw9fQOAi0evoNFqeOuD+nzz5wAWXJzOyvAFTNk1ih4/dEtZXDtlz+OLi4cLgCpvPo1Ww5i1gzGbEhnabCyxUXEK78AHtAVR4+0oTrpnPcp3+yeCJjtSjkPgouxn9PKJa3xZfzheOTyZuOVbxS/yPrrpZPLvwUcv4+rpomj8JPU61OSPO/OYcXAcXb59h6KVCiFJyoww9yuQQ5W8M811bvHx8QwaNIiOHTvi4fHibr9x48YxYsQI+4LLUSCDHDPPdvRmfWjX5ntXHmL/6iPUefcNsuXx5c/vVgO2c2CFyuajULn8FCqbn9yF/OzLK4Ue3HrI9x/OYu3sTeTMn13x+FaLlflfL+HmhRB1ujw1fmCoCHH3QY5WLKxXdg9+PDqRSe/P4Pi204rFTdJ+UCvylQhgQtfpiscuXqUwvWZ8yLCW4xV/zbU6LVP3jGbxmL9UWZao14zuxEbF8/Pg3xWPnT8wgEnbhjO89UTO7LugXOD41chaP0jYrVzMx66duckX9b6lcPkCivd4XDl5nc0Ld7JnxUEO/nNMtQkUchXICdgGrHn4uuPq6YIp3sy1xwf1adHnx48oUrEgv438k3/mbFHsNcoUxc1sNtO+fXusVis//vjjS587ePBg+vfvn3w7MjKSgICAlO1IjgbTzv+3d+dxNtX/A8df565j9pUxjBljJ4wlW30ZO6ksLYrGkqgkUimSJEmbPSSKflmiSEIUWbNkMPbdYOzD7Mud7X5+f1wmI8x2ztxZPs/H4z7i3nPf5z0nc9/3nPP5vD/5ytFqtbLpx7+zPRdzLZawP2IJ++NAvmLmRXpaBkd2nFD3F/4Omq7NlnHU9lBZz5HdcXQtw+nwc6rHBgio5U/ZAG9NYhvNRqo3roKTm6PqxS0zI5NqDSvjXdFT1bi3eZb3xK+KSZPYF45f4tKpK7z7w1BeaTCC5Phk9YInfaNerLtEnrhM5An1B8MJIZg88GvNbxPsWbefg1uPsOPXMFUK2p2+HDCbvh/1ZPDU/nQb0pl5Ixfx98p/Chy3yF+WTE9P59lnnyUiIoI///zzgWdtAGazGVdX12wPqfTxruDJk692YPmU1SREq3c2eCcXT2fNRqam3lq93KzRyNuk+JSsS9lqi7kWi0c5d01iWzOtfBo6HVcvZ16fMUCTfRQ3hXH/e/mU1SyesEL1wga2SfCTX5rNqw3f4dq5KD5cMYLJWz6iZpOqAFSuW8m2AkMeFenidruwnTp1ig0bNuDllct7YVKp12v0U1iS01g+ZY1m+3DxdNascFqSbMXNwUmb4paSkKLZHKzoqzG4l3PTJDbA1YjrfPX6t7QLbUnr5x4hoHZFzGW0OVOUCs/Zg+cZ2eljRnWegLOHEzN2TeS9RcPoPKAto38cnuf753a9LJmYmMjp06ez/h4REUF4eDienp74+fnx9NNPs2/fPlavXk1mZiZXr14FwNPTE5NJ/mOW7s23clk6D2jDgjE/qnvZ6i4uns4kxGhT3FKyips2XS6SE1Io46JN7NhrcbiXdUOn066/4oYfttKkc0OGzhrIucORrJi2hm3Ld2myL6lwha0PZ9+Gg3Ts35p+Hz2Hp687AO8tGsa457+AXN5WtOuZW1hYGA0aNKBBgwYAvPnmmzRo0IAPPviAixcvsmrVKi5evEhwcDDly5fPeuzYIds9SfcX+sEzxN9M5Nev1mkS//YlEm3P3GzTORwctfkSl5JgwdFZqzO3WPR6Ha7eLppdnvQq70HEofM4uzvx0KM1CXm2hSb7kezDmmlly9Id7N94KOu5ls80Z9jsQbmOYdfiFhISghDiP48FCxYQGBh4z9eEEISEhNgzbamIatC2LpVqVqDtCy1ZMnEFlmT15izdyb9mBT5cMQIXDyeq1A/k6beeUDV+pZoVqFitvO3PtSqq2mLJYDTwwgdPYzDqqVSrAiO+e0212AAd+obQPrQVAJ//+QF1HqmhavzbYq7FYXL4t/A36dJQ816OUuFKT8tg1ax1fP3W92z9aSfXI28Q0jP3X2KKxWhJScqNVyb1xWg2cvNSNGvm/JnzG/Lp3OFIGrSti96gp+Uzzdm4WN3h47FR8cw58CUA/T9+nq+Gfqta7Iz0DILqBmQ1Hoi6GK1abIA968IZ/s3LgG0gwMmwM6rGv81qtfL92KUc232KkT+8jouHM82faPSfEctS8ZWems7RnSc5uvMky28951Y+951eivSAEknKLaPZSKVaFfCv4YeTuyOvzxqoWTsiq9XK8d2nAFsh+mftflXjx99MYN+f/07ODVd5jt7GRf8W44Nbj6gaO+ZaLDtW7gFsx+b6hRuqxr/bP2v3Mbjxu5zeH0HLZ+SlyZLu5uWYXG8ri5tUIgTUrpjV/eHCsUt8PXyBpotFHt15EoCNi7ZqMhT79hlIzLVYzh+9qGrsf9buyxoIc3CL+vMLV39jO2vW6qztblcjrjPskfeJuRaraRd+qXiRxU0qEao2qAzA6f0RvNd5gvotwu5ye7L8+vmbNIm/49c9pKakcWCz+sUnPS2DrT/vIj46kXOHI1WPH/7XYS6dvsrJvYVT3ADSLGlMHzyXNEt6oe1TKtrkPTepRKgSHEjE4Qu822E8ibHaLflz2/HdpzgZdoaIQ+pPagXbUP3da/YRvulQzhvnw1+LtuFR1k2Tht5CCNbO/ZOLJ6+oHjsnsqG3dJsiSvi6JfHx8bi5uRFCVwyK0d7pSCpYfzn8P88prh8jEqfkuS9ogZiaQZqGc6vMHSHjBGSe0yC4Youfqs10CRRPUAxgva5N/ByZAFt3/I5+wXbKofS61++oGuITrHhUP0tcXFyO3afkmZtUIoiEz2wNsAuTloUNIHUTtz+g1Se0K2wAIhrs+bVZMaK4TUOkheFe9jSx1+PsmIxkD7K4SSVDYRe2QqFVYSsFRBIiaTaK548siVTYvWYf6+dv4p/f92vWOV8qWuSAEkmSSqb0g4jE6RiMBh7p1oSPfn2XLzaO1WRVbKnokWduUrHh4+9NQO2K4BiMYqgKhiqI5KVgWWnv1KSiKukbDuztRP2QOoBtlGtSrHb9RqWio9QUtwZtHyL2UgLXzt8gzSIv9xQneoOedxYMoU2vf9tQCZGBiBsJll/tmJlU9Fn5rM8Mvg7/kj8WbOKZt5+keqMgJvaeRmxUvL2TkzRUai5LfrjiHb47No2ll7+hdvPq9k5HygO/KuWwZv47IVsICyL2NVnYpFyJuniTj57+kjlv/x+jOo6ncr0AZu39XH4OlHClprjdZklKpVaz6pot1FiaePl50vyJxrR7oaUm8QMfqsR7i99g3pEpNGj7EDtXhZEUl4yI7g+pf2myT6lkOrDZ1mZs/1+HebXhO1w/H8WkzePoPvQxO2cmaaXUzHNbM/8P2j3Xiq0/7yKkZwvSLOmsn7+JX6av5crZa/ZOs1ho2qUhNZtWo3rDIKo1CsKjnDuXTl3h7TYfcuOSeg14qzUMotfop3i0exOunY/ix89Wsn7+Juq3qk3MtThm/b5StX1JRYzOE/SVQB8AGacho+C9L+81z01v0DPw8xd46o3H2bx0B5MHziYl0VLgfUk2RWGeW6kpbq2VbvQb+zw/jPsJr/IePPlaJx5/uT3OHk7sXBXGimlrNOmzB+Dp60701VhNYhemuv+rxad/jMFktk2GjzxxmRFtx3HzsjqFrVaz6vQe/RRNuzTk0umrLJm4go0Lt/2n64RWvziSHeh8UZyHgrE26ANQdLaRjMIaj4juCRlnKOiEuQdN4m75THPemvcqNy5F89HTX6rex/NODk4OWev0lXSyuBWCB3UoMZcx0faFlvQY1oWA2hU5vT+Cnyat4q/F21XZt2/lsvR6rwfuZd0Y/+xkvCt4anaWaDQbKePsQPxNbeZ7te/Tin7jn6OsvzcAF45dZETbcaoU7RoPV+XFCc/TsF09Lhy7yOJPVrDpx7+z3We7U55/cfSVIfMC2Zbw1QeBvmzBJ2IrHiBy36m8xNMHQWYEeSpIiis4voDi1BdF55ntJSFSIOMcZJyFzLOIjAhI3ZyneY05dSjxr+HHBz+/TblAHyYNmM2WZQVfDFmn1xFUL4A6LWpQq1l1areowS/T1vDL9LUFjm0Pnr7uxFyLy3W7tqJQ3ErNaMl7SU1JY+3cDaydu4FG7evR443HadS+foGLm18VX3q914N2oS3RG/SkJFr4LXEh8Tfiebb8QJWyz659n1a0ePJh3n9ioibxqzeuwrGdJ/nyxVkMntqfd9p9RMy1WFVilwvwxs3HlfHPTmL7in/U7eav80Xn8wdCpNrOAjJOIjJOQeZlFLdJkL4XkfgVpOXvA03xmAHpRxAJXwAq9zV0GgTJS9SfoG6oBqaWkHnGVihUpLiOA9IRscNyn7eIh6RZiOT5iDI9UZwGQPpxRPJCMAShGILAEASmpuj03lij2kGmesck8sRlXm/2Hm98PQiTgzot+spXLkvr5x+l3Qst8fR1B6B6oyqqxL6bTq+jZpOqdBnYnjkj/k+TL7iTt47H2d2RQ1uPcWDLEQ5uOUrEoQtZxa5Bm4c4tS8i731dFScUl3cRyT9Bhrp9VEv1mdu96PS6+54x5MSjnDsvTexN29CW6PX/jtVJSbLwzYgfiDh4PqubvNp0Oh16o570VG26oiuKghACB0czDk5mVYdRK4oCoNG3QjOYGoGhOoqhmu2D3VAt6/LXbSJtLyJxBqTlZbFLPZhbg87LdmaRvicP780FXdlbsY+pG9fYBJ3XIkTyj4j4MerFNYeg85gLgDVuNKQsy2cgE5hbQeo9FpxVXEEkArn/HbVnb0m9Qc/DnYLp0DeEtXM3EPbHAU32MXHd+zRo8xAD673FucPqN/Nu0OYh6oXUoV7L2tRqVh2jyUD8zQQObbMVu3IBPrTt3ZLv3lvEuu82se5Sbtc41KF4r4WMSERszl/85WXJOxR242Sj2UhZfy/KBZalXKAP5QJsj40Lt2ryD7s0UuOSh+L8uu1eD7Y5c2ReAetlRMpvtz6US/KvhQ7FZwsi4VOwrFEpph7F6zcgFZEwCdLUubSvhqLSOPn2F0QtuHq5MHPPp0wZNId9Gw7m/IYCMDmYqNWsGvVvF7vm1bPuwwMc/+c01au8C+m5zMPhCXTuk7HefBpEOmTcf+yDLG53kKsClDwFL263OuJbb0LmxVud60tXv0HF5T1E0hz1VlEwPmw7y0xdT1H7YlBUipvWqtQPpHyVcmxfsbtQ9+vp686cA5Nw98lebETyMkTiJLDmNODs1tmbsIDODRHV+r5byntukvRAGnfELwZE0jx1lwdS+5KslGdnDpzj3BH1F5/NiUc5d756/VtSEi1YEi0kJ6Qwc91+EElgzfkenOI8zHbvzWC7JykUT9uqEgUki5sklUZ2W2dN0pI9Vjw4c+AcZw6cuyuRc/fa9J5E0lwU0yOg97U9YayuynJSpa5DiSRJklSEiEREzEuI9FuD7Qw1VQkri5skSZJkXyIWEdMfkXEOxaBOz09Z3CRJkiT7s0YhovuCzkWVcLK4SZIkSUWD9TIifoIqoWRxkyRJkooO61VVwsjiJkn5ofMFxTPn7dRibFx4+5KkEkBOBZCKnaIwKfeRbk2oUM2XZV+s0nxf/jX8GDy1P6M6q3O5RpJKA3nmJkn5UK1REF0Gtc/qi6ml1796CSd3J833U1QYTfI7t1RwsrhJUj5Ua1AZvyq+NOpQX9P9tH7uERq0ratat/rioNWzLeg8oI2905CKOVncJCkfqjUKAuCJVzpotg9HV0dentQXsK09WFrsWBXGq1P78+GKEbh5P7h/oCTdjyxukpRHXn6eeJRzB6Dp443wqeilyX76je+JV3kPAEylqLglxyezZdkOHunWhG8OTqLJYw3tnZJUDMniJkl5VK1h5axeen//8o8mlyYVRWHTkr/Z+8cBLhy/RFJssur7KMrWzt0I2DrOT1g9iqGzBmJyKD0FXio4WdwkKY+O/3Oat0LGArB9xS7WffeX6vsQQnBiz2lqNq3GpiXbGdXpY9X3UZQd23WSiEO2RTdTEi2smrWeNEuanbOSihO7FretW7fyxBNP4Ofnh6IorFy58r7bvvzyyyiKwtSpUwstP0m6l9jrcSTFJWNJTsXz1mVDLVRvFISTmyP7Nx7i5pUYzfZTVK2dt4HV3/xJRnoGL03sXSgjUyU70/mqNqfTrsUtKSmJ+vXr89VXXz1wu5UrV7J79278/PwKKTNJyln0lRhNi1vDdvVITkjh+D+nNdtHUbbhh618O3IRE3tP4+HOwYSOfcbeKUlaURxRnIeheP+ap+VyHsSuE0o6d+5M586dH7jNpUuXGDJkCOvXr6dLly6FlJkk5Sz6SiyetwaWaCG4TV0ObjlqlzW6ioLEWNtCl3vWhfP92KX0H/88J8POsGv1XjtnJqlHB2V6oDgPR9GXRSR+A9YbakUuuqxWK6GhoYwYMYI6derYO50iy8uvcNpAtX7+UXlT/w7RV2PxLO+uSWxzGRN1HqnB/r8OaRJfb9BrEte3clmaPd5I9bhLPvmFHb/uYeQPQ6lQ1Vf1+JKdOHRFcXnHVtisibYV4lVSpIvbZ599hsFgYOjQobl+T2pqKvHx8dkeuRVQuyJPvKrdvKXHX+mAo0sZ1eOOWTqcnu9202xIOthyD/3gGYbPeVn12NUbV+HRHk1Vjwu20XYd+4VoEvvIjuNEHL6gSWw3H1cObzvGvj8PahK/ccf6/HTtW3q+0xWDsWAXcMxlTDw3shtzwr/khzMzCR37rEpZ/ksIwWd9v+J65A1qNKmqenxHlzIMmz2QFl0fVj022Ea/NmpfD9/KZTWJX6tZdaoEB2oSG2D8qpG8/e1gHu3eBAcnh6znH+3RtGD3Qi2/QPpRhDUekheAUO/ecpHtc7N3716mTZvGvn378nTwJk6cyLhx4/K8Px9/byaue5+E6ETWfbeJ9NT0PMd4kEe6NWHYrIFcOXOVvSp+YFWuW4k6j9SkziM1Caztz3fvLyEqUp3T+tsURaHdCy3xr+GHfw0/Tu47wy/T1qoW//FXOhDSswUXjl3iwrGLqsUF6PtRTx57qR1blu3EkpyqauwVU9eoGu9O1y/c4N0O4zWLf+TvE7zV6gMuHL9U4FipKWmsnP47Zw9eoEnnBuiN2pwVJscnM7jRu2SkZ6gfOyGF6YPnYTRr0wlGCMHY5SP44aOf+OlL9fuRDvo8lCtnr/F5vwePX8gPRVE4dySSFk82pmP/1qSlpnNg0xF2rQ6jY/82dBvSmckDv+bymfx18xcxL4HDE5C6QdW8i+yZ27Zt27h+/TqVKlXCYDBgMBg4f/48b731FoGBgfd936hRo4iLi8t6REZG5rgvF09nJv4+msyMTN7rPEH1wqbT63hxwvPs33hI1cIG0KFvSNaf/Wv6YdDgg6Vmk6okxSWTnmb7UHn5iz7UD1HvMvGsYfOJunCD95cOV70Tx+zh33Niz2kqVC+vatziLjE2SZXCdpslOZV/1u7jq9e/Zdor36gW925aFLbbhBCaTje4GnFdszM3S5IFByezJrGFEHw7ahED6gynb7XX+XbUIgwmA69O6Uf1RkHUD6nDnANf0n3YY+h0+SkpGbYzOJGgat5FtriFhoZy8OBBwsPDsx5+fn6MGDGC9evX3/d9ZrMZV1fXbI8HMZcx8fFvo3Av68qoThM0GXLdoW8IlWpVZN6oRarG1el1tOn1PwCWfbmKNx4dw5Wz11TdB8Cx3acY3eUTnik3gM/6zGDX6r28s2AIZSt5qxLfkmRh/LOTKR9Ujtemv6hKzDtjv//4RPT6IvtPXSolrkZcxzdQo+KWnIbZUZvidqfLZ66yYuoa3mk3jm/e+SHreQdHM4On9GfylnH41ygao9rtelkyMTGR06f/HeYcERFBeHg4np6eVKpUCS+v7PeQjEYjvr6+1KhRQ5X96w163l/6JpXrVeKdtuO4ePKyKnHvZHIw0efDZ9mybAcnw86oGrtxx2AUncKozhMIWx+uaux7SYpLZsPCrWxYuBUHJwfK+qt3j+/ckUhmDv2Ot+a9yoHNR9i4aJtqsWOj4omNyv29V0nSwtVz1zVrtJ2anIqrp7Mmse9Fp9Nx+fRVPuj22X9eKxfgAyiAKLR87sWuxS0sLIzWrVtn/f3NN98EoG/fvixYsEDz/b8xZxCNO9ZnzJOfaTaXqOuQTnj6ujN/zI+qx/au4MkrwW8TfTVW9dg5sSRZVL2sBbDuu7+oH1KHYbMHcTLsDNUaBfHX4u2q7kOS7OVKxDV8A31QFAUh1P3gtySnanZZ8l6sViu71+x7wBb2LWxg5+IWEhKSp//J586dK/A+ndwcSYpL5sUJz9Opfxs+6zNDs7MeJzdHnhvZnd+/3cilU1dUj792rro3YIuCaa/OpXrjKoz/bRQ+/l7s/eMgcTfkWZdU/F2NuI7JwYSnr7vqtz9Sk1ML5bJkcVKqbkQYzUbGLHuLbq935vlRPZgz4v/YsHCrZvvr+W43TA5GFn70s2b7KGnqtKhO7LU4KlT1xWQ2EvJcC3unJEmquBpxHUCTQSWWpMI9cysOSlVx69i/NY3a1+O1aS/y8+Tf+HnSb5rty8vPk+5DH+OXaWtKZV/A/Dq45ShnDp7L+nu7F1rZLxlJUpGWxU2euf1XqSluOr2OZ0d0zfr7w50aaDqqJ3TsM6RZ0ln6+a+a7aMkSk/LYNaw+XzY4wsSYhKp2aRqkRl9JUkFkZJoIe5GPL6Vy+KgciGyJKdidpTdg+5Uaorb/55qRvlb35h2/hbG+49PJPKE+qMjO7/Ulir1A+nUvzVLJq4gKa50rcOllr9X/sMrDUZwdOdJ2oXKszepeCvj7MDTbz1BYkwSzZ9ozHtL3lA1viUplTJODnLlhDuUmuL21JuPcyXiOmOe/JQPun7G1XPXNdlP+9BWTNoyjtjrcaz++k9N9lFaXL9wgzdbfcCNSzftnYokFUhKooU6LWpSoVp5ajxcVdXFZ1s/90jWpc4eb3ShTgt1pkoVd6WmuO36LYyBDw3XtKO4TqejasPKOLk64uXnyZilwzGaimyHs2IhMyOT32b/Ye80JKnAlk/59x7/+WM5d07KrcxMK8+P7A7AoC9COX9U3RZ2xZUi1J5wUcTEx8fj5uZGzMkgXF00ruWGqui8fwdApG5BxAwG8t/Op6NfsDp52cH6y+H2TiFf5DEvfKXpmCtey1GM9bDGvAKpG1XKwgGl7C4UnRMi/TDiZvcc31Fcj3mGSGczvxIXF5dj96lSc+ZWKAx1AXUKmyRJJY9Imm/7Q8YpFaNa/i2UabtUjFu8yeKmIsX4ECJ1qyxskiTdm2UdIiMCMtW9dCgsthUqRKosbrfJ4qYmEYuIeRVZ2CRJurcMRPw4wKpu2NRtiMybkB6mbtxiTI52UJFInInq/2glSSpZ0v7WIGg6IvFLEEkaxC6eZHFTlSxskiTZScpye2egujLODpQL8KFsgA/lArxxKefE5rG5a4whi5skSVKJULIGvtdrVZuPfn0XJ1fHrOeO7z8FY3P3flncJCmXHBzNWJJT7Z0GtZpVp2qDQOJvJhJ/M+HWIxGUMiBS7J2eJBWYq5cLdVrUIC0lLau4HdxylNHdJ+Q6hixuknQHFw9negzvQrlKPniUc8O9rO3h5uPKJ89PYfsv/9g7RRJjEun/8fO4eGRfnFKk/IpI+BKsV+2UWf64ebsSVK8SlesFUKVeII5ujnzSayrpqen2Tk0qZJVqVaTHG11o90JLFAU2Lt5Oh74hbPxhK1NfmUNKau6/vMniJkl3SIhJZPXXf9J33LM0aFcPvd42oDgjPYMug9pTtWEQJ/ac5sQ/pwtlkVij2Ui1hpWp1aw6tZtVp1bz6vhUzL4C+sGtR5nz9v8xY1Uxu+diaoni+h4/X6+S7elju07y3MhuREXeJCryBlGRN7keeRNLksUuaXqV98DoYMzq6l9aNOncAL1Rz85V2o7AVBSFxh3r02NYFxp3DObmlRiWTFzBmjl/Eh+dyOXTV/jx05V5jys7lNxFcQGdD2SeVTkTA5hb5akrQW66CJgcTAS3rkOTxxoyb+QizT4AQnq2oGwlb8LWH+DswfPZXtPpdVgzsw+myVPnBp0XGKqpPwFVcQJzG7DkfmmjO495pVoVGfBJL1p0fZizB89z7XwUNZtUxaOcOwBRF28yqtPHmrU7evnLPjz5WidMZiNpljROhp3l6K6THNt1kkbt69GgTV3mjVyYdTaZp2OurwimJpCyElUHQunKgTkEUpbmbnvFiZnjh9B1SGcq1awAwKVTV3B0LZN1nG9LiEkkKvImHz39JZdOa3N22vmlttRqWo2r565z7VwUV89FERcVz8w9n7Lvz4Msn7qaw9uPZ22fp2OueIDBH9IPqp+4MRjSc5/Lgz5bajevzoCJvanXsja/ff0HZgcTs99cQGKsNiMxRy8ZTkjPFpzad5YVU9ewZdkO0tMy7rltXjqUyDO3uyhun4KhOuJmN/WG1SrOKO4zwNQEcaMTZOa9r1yTzg3wrVyWVbPW4+PvTdMuDWn6WEOC2zyEg6OZa+ejWPPNn0QcuqBOzncJqh9I96GPMfCzUG5ejmbvHwfZs34/e/88SEZaBu//OJwZr3+br2+3iuOL4DQAkfApJC9QJ2FjMIrbJNB5ItJ2gTUqzyEuHLvI2O6f89CjNWn5dHNmvWHrLuHj702Nh6tQs0lVrl+4oU6+93Bo2zGunY/i2K5TnAk/R0b6v7/w8TcSmDl0frbn8sTcGp3rBwjH/oiELyCtgIv2Ko4oTi+B4wDAgrCsAxGX8/tEEqtmree32X/QsF1dug7pzOHtx1j2xSqMJgPeFb3w8ffC5/Z//b2Jj04sWK4P4ORahir1A2nR9WHcvLN/eD7aoymP9mjKybAzLJ+6mq0/5e3LmOIyHByeQMQMgPR96iXt0B2d++dYbz4L6fvzHSawjj/9P36eFl0fznqu04ttiDh4HveybpoVt99mr+fXmb9n+9KgBnnmdjd9IIrXSkhdj4h7t+AJ6MqheMwFfUVE7GuQtjPXb+3oF4yrlwuvTu5Hu9CWHNh8BFcvFyrXrURmRiZHdpxg95q97F6zr1CapRrNRh56tCYPdwqmccdgKj9UCavVyok9ZwiqF4AQgv/7cBnLp6zm98i8/PLqUVzeRnF6CZGyAhE3hvxPhDegOA8Gp8GQfggR9xZk5r7gF9eee5CP3pLGYBSXd1BMDyNSdyISPoeMw7dfBHJzz0sHZXqgOL8BOg9I+h6RNBtEQq7TuPuYl3F2ICXRPpcg786jXIAPDdrWZfDU/lnPx99M4NzhSML+CKff6xPI9b9VxRHFYx4YaiFiXixQIcqiD0Lx+gVS1+Xp8+ruY16nRQ2efutJvPw88PR1x8PXHZPZyPF/TvNmyzH3PZMqbHk5c5PF7V7KPIXO7VOsscPBsjr/OzdUt/1jBkTMS5BxMk9vnzDsVYbMGIBHWTcAUlPS2PbzLnav3UvY+gOafZPKLe8KnjTuGEy7F1pSP6RO1vOn90cQ5P8WZBzKW0CHrihuEyD9OCJ2MFhzeRZoqA3WG6CUQXH7Eox1IWkmInE2kLdfylJV3G4zt0FxGYFiqIpIWY1InIxS5jmE5TfIuOvbtOIEOl/IPAOmFiguI1GMtRApa2yTiPPRVqqoH/N2L7TE2cOJ80ciOXfkIjHXYrNey/Mxz1bg+ufpUuJ/mVG8fgLFhLjZA0Tul9HJzTF3dnfC09ed6Kuxdv+suU1eliyolOUI06Morh8h0sPz1wfO1ALF/SvIvIiIGQjWa7l/r+KB4vo+737fCUWnIyM9A0Wnw2AysHvtXjYv3ZH3fDRw41I0m5fuIOTZFlw6fZXM9Awy0jOxWgWK62hbk9jU9bkPaPkVkRmB4j4TxWsFInZIzr/8ijuKx0xI/RscHgfrTUT0cwX80ChlUv+yNfsu8xSK81AU73VgjUNxfBoR3QcyTtza0AHF4xtI2wuGWigOIYi0/VhvPlOij/eGhQW8ZHsnkYyIGYjiMQ/F47tbBe5AvkIpru+BIQhx8+k8FbbcSoxNKjJFLT/kmdv9KC4o3qsg8zoiuhe2m+65PFRleqC4fgxpOxGxw0Dk7x5BUf9G+yAFWn5F54PiPhOMdRDxYyBlxf02tH1ImP8HgEhZiYj/sED3SkvtMb9NKYPiNh3FIQQAYY1GRL8AGedRPL5BMT9iez4jEpH4BVh+L/AuS+UxV5xQPL613d+P6Zf3QSbmTug8ZmCNGwspi/O8++J6zOWSN2oQCYjYt8BYH8V5CDi9apskmxOnIejcPoOUlYiYl/Nd2Eo1a5TtAzVlFTq3z1BcRgN6MGRfYVhxHpZV2ADbiEvFqXBzLWl0foCwNeEFFJ0niscPKJ7zswobAGnbwbLJPjmWBCLp1q2KUyge87OWy8oVvT+K2ycIy+/5Kmylhbws+SDp+xCJX6E4D0EhHZF54QH34AworuNRHJ/GmjAVkmYWZqYlUBoifhQi4yiKy3sohmq2SzqpmyFlGZjbojgPRljjIXWD7Rc9dQdyRYYCyjyDiB0EgNBXAEN9FJfhKKYmiMwrkBaGSN8PafvJ6/1M6S4iEREzAMXjOxTPBYjovrYBPQ/sNGNEcZsC1lhE3OhCTbe4kcXtQQzVUBw6oSh6QA8OjyOyFTeTbYSYSLo11L8p1tgRYFlpp4RLoOQfEBmnUNyno+g8wNQckX4UxdQca8xAWdC0lHkJdN6IhM9tBc2q3bSHUkskImJeRPFYYCtwMQNRnPojYodm307nA6ZHUIw1wVjbdl85DyNSSyNZ3B4k4xQi/n1wn4ai9wPz/0BxBREPgOL8CmACc0vbUP+YAXka6i/lkqFW1uVGRecMLu8iYvpQ0hrFFkn5HOwg5YFIRMT0R/GYj+K5CEUxIkzNs3+WODyO4vwqis4Da/wn2kwEL2HkPbecpIcjbnRDpG5FUUzg0MH2vD4InF5GcX4ZdO62b1KysGkjeT4iup9tmLpIRzE3A8dQe2clSerRVwKsKIoRAMXl7WwvK2W62q5cAIqpma0TjPRAsrjlhohBxLyENWEaisNjgILiNt5W7AAURzDUtGuKJV76HkTccERUS6wJU1Ace4E+0N5ZSZI6Mo4gEr9CpNvmFSrGemDuZHvNUBXFaJtHKjIiEUkz8za1qJQq8Zclb890iE9UoX9ewnQwNgZ9N3SWmmCJR1i2IZK/h/S9BY9/lwxRfLuixydotXDrdYj7CpgFel/IVHc/8pgXPnnMb9sMN7eA+TEUl9dADEQkrEdxao8SH4+wbLw11aXgI7CL6zHPuNU1Jzcz2Er8PLeLFy/i7+9v7zQkSZIklURGRlKxYsUHblPii5vVauXy5cu4uLigKEqO28fHx+Pv709kZGSOkwSLkuKaNxTf3Itr3lB8cy+ueUPxzb0o5S2EICEhAT8/P3S6B99VK/GXJXU6XY4V/l5cXV3t/j8yP4pr3lB8cy+ueUPxzb245g3FN/eikrebm1uutpMDSiRJkqQSRxY3SZIkqcSRxe0uZrOZsWPHYjab7Z1KnhTXvKH45l5c84bim3txzRuKb+7FNe8SP6BEkiRJKn3kmZskSZJU4sjiJkmSJJU4srhJkiRJJY4sbpJUQIGBgUydOlW1eP369aNbt26qxVPL5s2bURSF2NhYe6ciSTmSxU2SCmjPnj0MGjSo0PZnsVjo168fdevWxWAwFMlCKEn2JoubJBWQj48Pjo6Ohba/zMxMypQpw9ChQ2nXrl2h7VeSihNZ3CTpAUJCQhgyZAhDhgzB3d0dLy8v3n///Wxdye+8LLl582ZMJhPbtm3Len3SpEl4e3tz5coVAC5dukTPnj3x8PDAy8uLrl27cu7cuVzn5OTkxOzZsxk4cCC+vr65ek/z5s0ZOXJktueioqIwGo1s2rQJgIULF9K4cWNcXFzw9fWlV69eXL9+/b4xP/zwQ4KDg7M9N3XqVAIDA7M9N3/+fGrVqoWDgwM1a9Zk1qxZucpZkgpCFjdJysH333+PwWBg9+7dTJ8+nSlTpjBv3rx7bhsSEsIbb7xBaGgocXFxHDhwgNGjRzN37lzKly9PcnIyrVu3xtnZma1bt7J9+3acnZ3p1KkTaWlpmv0MvXv3ZsmSJdmK8tKlSylXrhytWrUCIC0tjfHjx3PgwAFWrlxJREQE/fr1K9B+586dy+jRo5kwYQLHjh3jk08+YcyYMXz//fcFiitJOSnxjZMlqaD8/f2ZMmUKiqJQo0YNDh06xJQpUxg4cOA9t//444/ZsGEDgwYN4siRI4SGhtK9e3cAfvzxR3Q6HfPmzctapWL+/Pm4u7uzefNmOnTooMnP0LNnT4YPH8727dv53//+B8DixYvp1atXVnf1F198MWv7oKAgpk+fTpMmTUhMTMTZ2Tlf+x0/fjyTJk2iR48eAFSuXJmjR48yZ84c+vbtW8CfSpLuT565SVIOmjVrlm25pObNm3Pq1CkyMzPvub3JZGLhwoUsX76clJSUbCMp9+7dy+nTp3FxccHZ2RlnZ2c8PT2xWCycOXNGs5/Bx8eH9u3bs2jRIgAiIiLYuXMnvXv3ztpm//79dO3alYCAAFxcXAgJCQHgwoUL+dpnVFQUkZGRDBgwIOtndXZ25uOPP9b0Z5UkkGdukqSJHTt2ABAdHU10dDROTk6AbX3BRo0aZRWZO/n4+GiaU+/evRk2bBgzZsxg8eLF1KlTh/r16wOQlJREhw4d6NChAwsXLsTHx4cLFy7QsWPH+14u1el0/1kROT393xWerVbbKtVz586ladOm2bbT6/Vq/miS9B+yuElSDnbt2vWfv1erVu2+H9Bnzpxh+PDhzJ07l2XLltGnTx82btyITqejYcOGLF26lLJlyxb62ljdunXj5ZdfZt26dSxevJjQ0NCs144fP86NGzf49NNPs1auDwsLe2A8Hx8frl69ihAi68w2PDw86/Vy5cpRoUIFzp49m+0MUZIKg7wsKUk5iIyM5M033+TEiRMsWbKEGTNmMGzYsHtum5mZSWhoKB06dKB///7Mnz+fw4cPM2nSJMB29uTt7U3Xrl3Ztm0bERERbNmyhWHDhnHx4sVc53T06FHCw8OJjo4mLi6O8PDwbIXlXpycnOjatStjxozh2LFj9OrVK+u1SpUqYTKZmDFjBmfPnmXVqlWMHz/+gfFCQkKIiori888/58yZM8ycOZPff/892zYffvghEydOZNq0aZw8eZJDhw4xf/58Jk+enOufVZLyRUiSdF+tWrUSgwcPFq+88opwdXUVHh4eYuTIkcJqtWZtExAQIKZMmSKEEGLcuHGifPny4saNG1mvr1y5UphMJrF//34hhBBXrlwRffr0Ed7e3sJsNougoCAxcOBAERcXJ4QQom/fvqJr164PzCsgIEAA/3nkZM2aNQIQLVu2/M9rixcvFoGBgcJsNovmzZuLVatWCSAr702bNglAxMTEZL1n9uzZwt/fXzg5OYk+ffqICRMmiICAgGxxFy1aJIKDg4XJZBIeHh6iZcuWYsWKFTnmKkkFIZe8kaQHCAkJITg4WNX2WpIkaU9elpQkSZJKHFncJEmSpBJHXpaUJEmSShx55iZJkiSVOLK4SZIkSSWOLG6SJElSiSOLmyRJklTiyOImSZIklTiyuEmSJEkljixukiRJUokji5skSZJU4sjiJkmSJJU4/w8ukKyDoAA6AAAAAABJRU5ErkJggg==", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 480x480 with 1 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sdx = np.sum(dx[:,], axis=0).reshape(16, 16) / 10000 \n", | |
"sdy = np.sum(dy[:,], axis=0).reshape(16, 16) / 10000\n", | |
"\n", | |
"\n", | |
"plt.figure()\n", | |
"X, Y = np.meshgrid(np.linspace(0, 15, 16), \n", | |
" np.linspace(0, 15, 16)) \n", | |
"plt.matshow(pattern)\n", | |
"plt.quiver(X, Y, sdy, -sdx, scale=10, color=\"w\")\n", | |
"#plt.ylim(-0.5,15.5)\n", | |
"plt.xlabel(\"pixel 1 value\")\n", | |
"plt.ylabel(\"pixel 2 value\")\n", | |
"\n", | |
"\n", | |
"plt.matshow(pattern)\n", | |
"plt.streamplot(X, Y, sdy, sdx, density=1, color=\"w\")\n", | |
"#plt.ylim(-0.5,15.5)\n", | |
"plt.xlabel(\"pixel 1 value\")\n", | |
"plt.ylabel(\"pixel 2 value\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "9e420916-49e6-49c0-81d8-a080e97522f5", | |
"metadata": {}, | |
"source": [ | |
"### Showing how the diffusion process \"blurs\" the probability distriution space" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"id": "0c3deaae-5cbf-4a21-bc37-a5fd70483be1", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<Figure size 1000x200 with 0 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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89La0Ly0tRXl5uVHiP/jvg1qthlqtrta2vLwcmZmZmDNnjt75oKAgnDhxosb4GRkZCAoK0js3ePBgbNiwARUVFbC2tq43RzGP2xge+iLi+vXr8PT0NPg6MdeYAubduJh34zPX3Jm3dLm5uXj00UcB3CsgvL2ao6BQIzlu8+bNcevWLb1zCxYsQFxcXLW2RUVF0Gg0cHNz0zvv5uam2+L9QQUFBTW2r6ysRFFREdq0aVNvjmIetzE89EWEg4MDAODRD9+GhV31qlKyP2SI+X/s8mWcsiLj3q1lLvJuDKvSyhdb/Uf9vVWiyfmatzLPzXjVRfK93nLO+KpwkPf1rpQxvqpSttDQquXJW1tairz5S3S/z4F7f5kXFGqQnekFRwfxP+ySm1p4+15Dbm4uHB0ddedr6oW434M9FzX1ZtTXvqbz9TH0ceX20BcRVS+uhZ0aFs1sjf8Ad+QrIizV5llEWNiabxFhqTbPIkLu11wucr7echYRGplfbzl/nnIWEZD7s1/DP5aODhaSighdHEdHvSKiNq6urrC0tKz2139hYWG1XoIq7u7uNba3srKCi4tLg/IT87iNgXdnEBGR2dIIWsmHIWxsbODr64u0tDS982lpaQgICKjxGn9//2rtDxw4AD8/vwbNhxD7uI3hoe+JICKih5cWArQSuvnEXBsdHY2wsDD4+fnB398fycnJyMnJQXh4OAAgJiYGeXl52Lx5MwAgPDwciYmJiI6OxpQpU5CRkYENGzZg+/btupjl5eW4dOmS7v/z8vJw/vx5NG/eHI899liDHlcJLCKIiIgMEBoait9//x2LFi1Cfn4+fHx8sG/fPnh5eQEA8vPz9dZu8Pb2xr59+xAVFYU1a9bAw8MDq1atwqhRo3Rtrl+/jp49e+q+fv/99/H+++9jwIABOHz4cIMeVwkqoWp2x0OqpKQETk5OaJscK8+ciCL55kQ0u26ecyJKXc13ToTt7+Y5J6K0tXl+jG1vmOeciHJHTqysiVamORHau6XI/WcsiouLdfMWqn63X//xUckTKz0e/1UvNjWcWcyJWLt2Lby9vWFrawtfX18cPXpU6ZSIiMgEaARB8kHimXwRYZLLfBIREZHpFxErVqzAa6+9htdffx2dO3dGQkICPD09kZSUpHRqRESksKqJlVIOEs+ki4iqZT4fXC5U6WU+iYjINGghQCPhYBEhjUnfnSFmmc+ysjKUlZXpvjaFdd+JiIgeRibdE1HFkGU+4+Pj4eTkpDtMad13IiIyLg5nKMukiwgxy3zGxMSguLhYd+Tm5jZGqkREpADenaEsky4ixCzzqVardWugN3QtdCIiMk9aIxwknknPiQBMc5lPIiIiMoMiwhSX+SQiItNQdZeFlOtJPJMvIgBg6tSpmDp1qtJpEBGRidEI9w4p15N4Jj0ngoiIiEyXWfREEBER1UTq5EhOrJSGRQQREZktLVTQQPxusFoJ1xKHM4iIiEgk9kQQEZHZ0gr3DinXk3hNpogQ/lRDKFUbPa5tkXydObZF8r27Lcvli237u/l2D9oXVsgWW6hlqXZjKPtNxk5FGX+c6r80ssUWLGULjbsuMgYHUO4k38+zwl620KhwlOf3iqq09tdDI3E4Q8q1xOEMIiIiEqnJ9EQQEdHDhz0RymIRQUREZksrqKAVJNydIeFaYhFBRERmjD0RyuKcCCIiIhKFPRFERGS2NLCARsLfw/LdH9Q0sIggIiKzJUicEyFwToQkHM4gIiIiUdgTQUREZosTK5XFIoKIiMyWRrCARpAwJ4LLXkvC4QwiIiIShT0RRERktrRQQSvh72Et2BUhBYsIIiIyW5wToSwOZxAREZEo7IkgIiKzJX1iJYczpGARQUREZuvenAgJG3BxOEMSFhFERGS2tBKXvebESmk4J4KIiIhEYU8EERGZLc6JUBaLCCIiMltaWHCdCAVxOIOIiIhEYU8EERGZLY2ggkbCdt5SrqUmVERY3VHBQmv8N4v1baOH1LGskK+bzapMvth2v2tkiw0ANn+UyhbbsviubLGhke91sbexli22YCFfh6VKxtdEsLaULbb1TXvZYgNAqat8P8+7LvL9o6mxlSlweR2PKfHuDA2HMyThcAYRERGJ0mR6IoiI6OGjFSyglXB3hpZ3Z0jCIoKIiMwWhzOUxeEMIiIiEoU9EUREZLa0kHaHhdZ4qTRJLCKIiMhsSV9sih3yUpj0qxcfH4/evXvDwcEBrVu3xogRI/Djjz8qnRYREZmIqmWvpRwknkm/eunp6Zg2bRpOnjyJtLQ0VFZWIigoCLdvy7g4AxERETWISQ9nfPnll3pfb9y4Ea1bt0ZmZib69++vUFZERGQqtFBBCylzIrhipRQmXUQ8qLi4GADQsmVLhTMhIiJTIH0XT5PukDd5ZlNECIKA6OhoPP300/Dx8am1XVlZGcrKynRfl5SUNEZ6RERETY7ZlGDTp0/HxYsXsX379jrbxcfHw8nJSXd4eno2UoZERNTYqhabknKQeGbx6s2YMQOpqak4dOgQHn300TrbxsTEoLi4WHfk5uY2UpZERNTYtIJK8kHimfRwhiAImDFjBnbt2oXDhw/D29u73mvUajXUanUjZEdERNS0mXQRMW3aNGzbtg179uyBg4MDCgoKAABOTk6ws7NTODsiIlKaVuKQBBebksaki4ikpCQAQGBgoN75jRs3YuLEiY2fEBERmRTpu3iyiJDCpIsIgVu0EhERmSyTLiKIiIjqooEKGgkLRkm5llhEEBGRGeNwhrJYRBARkdnSQFpvgsZ4qTRJLMGIiIhIFPZEEBGR2eJwhrKaTBEhWNw7jK3CwfgxqwiW8r25bYrlu/PFpkTeDkLL2+WyxVbdvitbbOH2Hdliw0K+yWEWtrayxYaNtWyhBbW9bLE1ann/4bGolO/zqdLI+F6plCe2UEdcpTbgWrt2Ld577z3k5+eja9euSEhIQL9+/Wptn56ejujoaHz//ffw8PDA22+/jfDwcL02O3fuRGxsLK5evYoOHTpgyZIlGDlypO77lZWViIuLw9atW1FQUIA2bdpg4sSJmD9/PiwslCmGWIIREREZICUlBZGRkZg3bx6ysrLQr18/BAcHIycnp8b22dnZGDp0KPr164esrCzMnTsXM2fOxM6dO3VtMjIyEBoairCwMFy4cAFhYWEYM2YMTp06pWuzbNkyrFu3DomJibh8+TKWL1+O9957D6tXr5b9OddGJTzkizGUlJTAyckJ7RYukeUvKuvb8lX1VjL+4SpnT4RjToVssQHANu+mbLFVxbdki22uPREqM+2J0DrJ1xNxt418sQFAYyff33d3XGWM7SHP+1BTWoqr8XNRXFwMR0dHAH//bp+TEQx1c/Hvo7JbFXjXf79e7Pr06dMHvXr10i2ICACdO3fGiBEjEB8fX6397NmzkZqaisuXL+vOhYeH48KFC8jIyAAAhIaGoqSkBPv379e1GTJkCJydnXUbTz7//PNwc3PDhg0bdG1GjRqFZs2a4dNPPzXsiRsJeyKIiMhsVQ1nSDkMUV5ejszMTAQFBemdDwoKwokTJ2q8JiMjo1r7wYMH4+zZs6ioqKizzf0xn376aXz99de4cuUKAODChQs4duwYhg4datBzMKYmMyeCiIioNiUlJXpf17aZY1FRETQaDdzc3PTOu7m56fZ3elBBQUGN7SsrK1FUVIQ2bdrU2ub+mLNnz0ZxcTE6deoES0tLaDQaLFmyBK+88opBz9WY2BNBRERmy1hbgXt6esLJyUl31DQscT+VSn/oRhCEaufqa//g+fpipqSkYMuWLdi2bRvOnTuHTZs24f3338emTZvqzFVO7IkgIiKzpZG4i2fVtbm5uXpzImrqhQAAV1dXWFpaVut1KCwsrNaTUMXd3b3G9lZWVnBxcamzzf0xZ82ahTlz5uDll18GAHTr1g3Xrl1DfHw8JkyY0JCna3TsiSAioibP0dFR76itiLCxsYGvry/S0tL0zqelpSEgIKDGa/z9/au1P3DgAPz8/GBtbV1nm/tj3rlzp9qtnJaWltBqtQ17kjJgTwQREZmt+4ckxF5vqOjoaISFhcHPzw/+/v5ITk5GTk6Obt2HmJgY5OXlYfPmzQDu3YmRmJiI6OhoTJkyBRkZGdiwYYPurgsAiIiIQP/+/bFs2TKEhIRgz549OHjwII4dO6ZrM3z4cCxZsgRt27ZF165dkZWVhRUrVmDy5Mmin79ULCKIiMhsaWEBrYROdTHXhoaG4vfff8eiRYuQn58PHx8f7Nu3D15eXgCA/Px8vTUjvL29sW/fPkRFRWHNmjXw8PDAqlWrMGrUKF2bgIAA7NixA/Pnz0dsbCw6dOiAlJQU9OnTR9dm9erViI2NxdSpU1FYWAgPDw+8+eab+Ne//iX6+UvFdSIk4joR1XGdiJpxnYgacJ2IGnGdCH11rRPxj6MvSl4nIqnfFwatE0F/45wIIiIiEoXDGUREZLaUmBNBf2MRQUREZkuQuIunwF08JeGrR0RERKKwJ4KIiMyWBipoIH5IQsq1xCKCiIjMmFaQNq9B+1Dfnyg/DmcQERGRKOyJICIis6WVOLFSyrXEIoKIiMyYFipoJcxrkHItsYggIiIzphFU0EiYEyHlWuKcCCIiIhKJPRFERGS2OCdCWU2miNDYaSHYGX/PdcFavq6wSnv5YltUyJi3jJsHAYDG3ka22JbaZrLFVqnMs9tUaG4nW2xtM/l+lmWu8uV9y0PeX50VzeX8vSJbaGhs5LlfUlvHfZhaSFz2mnMiJGEJRkRERKI0mZ4IIiJ6+AgS784Q2BMhCYsIIiIyW9zFU1kcziAiIiJR2BNBRERmi3dnKItFBBERmS0OZyiLJRgRERGJYlZFRHx8PFQqFSIjI5VOhYiITEDV3hlSDhLPbIYzzpw5g+TkZHTv3l3pVIiIyERwOENZZtETcevWLYwbNw7r16+Hs7Oz0ukQEZGJqCoipBwknlkUEdOmTcOwYcMwcODAetuWlZWhpKRE7yAiIiLjM/nhjB07duDcuXM4c+ZMg9rHx8dj4cKFMmdFRESmgMMZyjLpnojc3FxERERgy5YtsLW1bdA1MTExKC4u1h25ubkyZ0lERErhcIayTLonIjMzE4WFhfD19dWd02g0OHLkCBITE1FWVgZLS0u9a9RqNdRqdWOnSkRE1OSYdBHx3HPP4dtvv9U7N2nSJHTq1AmzZ8+uVkAQEVHTIkDadt7ybF7edJh0EeHg4AAfHx+9c/b29nBxcal2noiImh7OiVCWSc+JICIiItNl0j0RNTl8+LDSKRARkYlgT4SyzK6IICIiqsIiQlkcziAiIiJR2BNBRERmiz0RymIRQUREZksQVBAkFAJSriUWEUREZMakbufNrcClaTJFhGAjQLAx/rIigla+N2CllXzLoGhs5cu7wl7mqTZt7GQLbeks32qn6j8atnS7GIKlfD/PMhlfE62NjO/DZvK9D8uc5f2Hp7S1fJ99wULG3yvNtLLE1d7VyBKXpGsyRQQRET18OCdCWSwiiIjIbHFOhLJ4iycRERGJwp4IIiIyWxzOUBaLCCIiMlsczlAWhzOIiIhIFPZEEBGR2RIkDmewJ0IaFhFERGS2BACChKUv5Fs1o2ngcAYRERGJwp4IIiIyW1qooOKy14phEUFERGaLd2coi0UEERGZLa2ggorrRCiGcyKIiIhIFPZEEBGR2RIEiXdn8PYMSVhEEBGR2eKcCGVxOIOIiIhEYU8EERGZLfZEKItFBBERmS3enaEsDmcQERGRKOyJICIis8W7M5TFIoKIiMzWvSJCypwIIybTBHE4g4iIiERpOj0RFsK9w8gEa/nKWMFaK1tsrZV89WOlrbwTlSptLWWLbVkm3+uitZGxZpfxr6nSlvK93lr5QqPSTr73YWVz2UIDADT28n32BRl+D+pYyRS7sva4vDtDWU2niCAiooeOAGk1NEczpGERQUREZos9EcoS1b/66aefom/fvvDw8MC1a9cAAAkJCdizZ49RkyMiIiLTZXARkZSUhOjoaAwdOhR//fUXNBoNAKBFixZISEgwdn5ERES1E4xwiLB27Vp4e3vD1tYWvr6+OHr0aJ3t09PT4evrC1tbW7Rv3x7r1q2r1mbnzp3o0qUL1Go1unTpgl27dlVrk5eXh1dffRUuLi5o1qwZevTogczMTHFPwggMLiJWr16N9evXY968ebC0/HtWlJ+fH7799lujJkdERFSn/xvOEHtAxHBGSkoKIiMjMW/ePGRlZaFfv34IDg5GTk5Oje2zs7MxdOhQ9OvXD1lZWZg7dy5mzpyJnTt36tpkZGQgNDQUYWFhuHDhAsLCwjBmzBicOnVK1+bPP/9E3759YW1tjf379+PSpUv44IMP0KJFC4Ofg7EYPCciOzsbPXv2rHZerVbj9u3bRkmKiIjIVK1YsQKvvfYaXn/9dQD3hvO/+uorJCUlIT4+vlr7devWoW3btrre+s6dO+Ps2bN4//33MWrUKF2MQYMGISYmBgAQExOD9PR0JCQkYPv27QCAZcuWwdPTExs3btTFbteunYzPtH4G90R4e3vj/Pnz1c7v378fXbp0MUZOekyt64aIiExH1YqVUg5DlJeXIzMzE0FBQXrng4KCcOLEiRqvycjIqNZ+8ODBOHv2LCoqKupsc3/M1NRU+Pn54aWXXkLr1q3Rs2dPrF+/3rAnYGQG90TMmjUL06ZNQ2lpKQRBwOnTp7F9+3bEx8fj448/NmpyVV03zzzzDPbv34/WrVvj6tWrinbdEBGR6TDW3RklJSV659VqNdRqdbX2RUVF0Gg0cHNz0zvv5uaGgoKCGh+joKCgxvaVlZUoKipCmzZtam1zf8yff/5ZNy9x7ty5OH36NGbOnAm1Wo3x48c3/EkbkcFFxKRJk1BZWYm3334bd+7cwdixY/HII4/gww8/xMsvv2zU5Eyx64aIiB4+np6eel8vWLAAcXFxtbZXqfQLF0EQqp2rr/2D5+uLqdVq4efnh6VLlwIAevbsie+//x5JSUnmU0QAwJQpUzBlyhQUFRVBq9WidevWxs4LwL2um8GDB+Oll15Ceno6HnnkEUydOhVTpkyp9ZqysjKUlZXpvn6wuiQiooeIyMmRetcDyM3NhaOjo+50Tb0QAODq6gpLS8tqvQ6FhYXVehKquLu719jeysoKLi4udba5P2abNm2qTRvo3Lmz3gTNxiZpHV5XV1fZCgjg766bjh074quvvkJ4eDhmzpyJzZs313pNfHw8nJycdMeD1SURET08jDUnwtHRUe+orYiwsbGBr68v0tLS9M6npaUhICCgxmv8/f2rtT9w4AD8/PxgbW1dZ5v7Y/bt2xc//vijXpsrV67Ay8ur/hdKJgb3RHh7e9fZZfPzzz9LSuh+YrpuYmJiEB0drfu6pKSEhQQRERlNdHQ0wsLC4OfnB39/fyQnJyMnJwfh4eEA7v07lJeXp/uDNzw8HImJiYiOjsaUKVOQkZGBDRs26O66AICIiAj0798fy5YtQ0hICPbs2YODBw/i2LFjujZRUVEICAjA0qVLMWbMGJw+fRrJyclITk5u3BfgPgYXEZGRkXpfV1RUICsrC19++SVmzZplrLwAiOu6qW0yDBERPYQU2DwjNDQUv//+OxYtWoT8/Hz4+Phg3759uh6B/Px8vTUjvL29sW/fPkRFRWHNmjXw8PDAqlWrdLd3AkBAQAB27NiB+fPnIzY2Fh06dEBKSgr69Omja9O7d2/s2rULMTExWLRoEby9vZGQkIBx48aJf/4SGVxERERE1Hh+zZo1OHv2rOSE7meKXTdERGQ6lNo7Y+rUqZg6dWqN3/vkk0+qnRswYADOnTtXZ8zRo0dj9OjRdbZ5/vnn8fzzzzc4T7kZbW/i4OBgo0/uiIqKwsmTJ7F06VL89NNP2LZtG5KTkzFt2jSjPg4REZmxRl7ymv5mtCLi888/R8uWLY0VDsDfXTfbt2+Hj48PFi9erHjXDREREd1j8HBGz5499SZWCoKAgoIC3LhxA2vXrjVqcoDpdd0QEZHp4FbgyjK4iBgxYoTe1xYWFmjVqhUCAwPRqVMnY+VFRERUPwUmVtLfDC4iFixYIEceREREZGYaVEQYsurj/St+ERERyUv1f4eU65uOuLg4TJo0yWh3OTZoYmWLFi3g7Oxc51HVhoiIqNFIuTOjCd6hsXfvXnTo0AHPPfcctm3bhtLSUknxGtQTcejQIUkPQkRERMrLzMzExYsXsXHjRkRFRWHatGl4+eWXMXnyZPTu3dvgeA0qIgYMGGBwYJNjIdw7jEyw1ho9po5Wvm42OSckyz3Z2bJCxtjl8v1ZYlEu33tFpZEvb+vb8v1AK+3ki62Rc+FaGT+bACBYyvjnsZx/ecsVu664nFhpsO7du2PlypV47733sHfvXmzcuBF9+/bF448/jtdffx0TJ06Ek5NTg2KJXifizp07+OGHH3Dx4kW9g4iIqNFU7eIp5WiitFotysvLUVZWBkEQ0LJlSyQlJcHT0xMpKSkNimHw3Rk3btzApEmTsH///hq/r9FoDA1JREREjSQzMxMbN27E9u3boVarMX78eKxZswaPPfYYAOCDDz7AzJkzERoaWm8sg3siIiMj8eeff+LkyZOws7PDl19+iU2bNqFjx45ITU01/NkQERGJZKytwJuK7t2746mnnkJ2djY2bNiA3NxcvPvuu7oCAgDGjx+PGzduNCiewT0R33zzDfbs2YPevXvDwsICXl5eGDRoEBwdHREfH49hw4YZGpKIiEgczokwyEsvvYTJkyfjkUceqbVNq1atoNU2bA6XwT0Rt2/fRuvWrQEALVu21FUr3bp1q3eHMiIiIqPinAiDCIJQ43IMd+/exaJFiwyOZ3AR8fjjj+u25+7Rowc++ugj5OXlYd26dWjTpo3BCRAREVHjWLhwIW7dulXt/J07d7Bw4UKD4xk8nBEZGYn8/HwA95bAHjx4MLZu3QobG5sa91AnIiKSi0q4d0i5vikRBEFvE80qFy5cELUTt8FFxP3bcPfs2RO//PILfvjhB7Rt2xaurq4GJ0BERCQa50Q0iLOzM1QqFVQqFf7f//t/eoWERqPBrVu3EB4ebnBcg4uI9PR0vcWnmjVrhl69ehn8wERERNQ4EhISIAgCJk+ejIULF+otJmVjY4N27drB39/f4LgGFxGDBg2Cu7s7xo4di1dffRU+Pj4GPygREZFRSJ0c2UQmVk6YMAEA4O3tjYCAAFhbWxslrsETK69fv463334bR48eRffu3dG9e3csX74cv/76q1ESIiIiajBuwFWv+3fi7tmzJ+7evYuSkpIaD0MZXES4urpi+vTpOH78OK5evYrQ0FBs3rwZ7dq1w7PPPmtwAkRERCQfZ2dnFBYWAqh9V26xO3EbPJxxP29vb8yZMwdPPPEEYmNjkZ6eLiUcERGRYTixsl7ffPON7s4LY+/KLbqIOH78OLZu3YrPP/8cpaWleOGFF7B06VJj5kZERFQ3FhH1uv9mCGPvym1wETF37lxs374d169fx8CBA5GQkIARI0agWbNmRk2MiIiIpDNkh+3u3bsbFNvgIuLw4cP45z//idDQUK4LQUREyuLdGfXq0aMHVCoVhHp2G1OpVAbvxG1wEXHixAlDLyEiIpIFV6ysX3Z2tmyxJU2sJCIiUhTnRNTLy8tLttgsIoiIiB5iqampCA4OhrW1NVJTU+ts+8ILLxgUm0UEERHRQ2zEiBEoKChA69atMWLEiFrbNcqcCCIiIlOhgsQ5EUbLxHRptdoa/98YDF6xkoiIiAgwsCfiv//9L3bt2oWWLVti8uTJ6NSpk+57f/75J0aNGoVvvvnG6EkahUZ175Ajrlws5ZvxI1jKFtqsZztrbOT7eWqt5avZBTvZQstKsJDv9RYsZfxZqmV+k1vIGF/O31ly5V1XXN7iabCvv/4aK1euxOXLl6FSqdCpUydERkZi4MCBBsdq8G+1bdu2ISQkBAUFBcjIyEDPnj2xdetW3ffLy8u57DURETUubsBlkMTERAwZMgQODg6IiIjAzJkz4ejoiKFDhyIxMdHgeA3uiXj//fexcuVKzJgxAwDw+eefY9KkSSgtLcVrr71m8AMTERFR44qPj8fKlSsxffp03bmZM2eib9++WLJkid75hmhwEXHlyhU8//zzuq9Hjx4NV1dXvPDCC6ioqMDIkSMNemAiIiLJuE6EQUpKSjBkyJBq54OCgjB79myD4zV4OMPR0RG//fab3rnAwEDs3bsXs2bNwurVqw1+cCIiIimqVqyUcjQlL7zwAnbt2lXt/J49ezB8+HCD4zW4J+LJJ5/E/v378dRTT+mdHzBgAPbu3avXS0FERESmYdWqVbr/79y5M5YsWYLDhw/D398fAHDy5EkcP34cb731lsGxG1xEREVF1bpvRmBgIP7zn/9g06ZNBidAREQkGocz6rVy5Uq9r52dnXHp0iVcunRJd65Fixb497//jfnz5xsUu8FFxIABA+rchzwwMBCBgYEGPXh9KisrERcXh61bt6KgoABt2rTBxIkTMX/+fFhYcIkLIqImj0VEvZrsBlzLli3DunXrsGnTJnTt2hVnz57FpEmT4OTkhIiICKXTIyIihXEXT/GqtgZXqcSvlWHSf85nZGQgJCQEw4YNQ7t27TB69GgEBQXh7NmzSqdGRERkljZv3oxu3brBzs4OdnZ26N69Oz799FNRsUy6iHj66afx9ddf48qVKwCACxcu4NixYxg6dGit15SVlaGkpETvICKih1TVipVSjiZkxYoV+Mc//oGhQ4fis88+Q0pKCoYMGYLw8PBqcycawqSHM2bPno3i4mJ06tQJlpaW0Gg0WLJkCV555ZVar4mPj8fChQsbMUsiIlIM50QYZPXq1UhKSsL48eN150JCQtC1a1fExcUhKirKoHgm3RORkpKCLVu2YNu2bTh37hw2bdqE999/v867QGJiYlBcXKw7cnNzGzFjIiIi05Wfn4+AgIBq5wMCApCfn29wvAb1RLz44osNDvjFF18YnERtZs2ahTlz5uDll18GAHTr1g3Xrl1DfHw8JkyYUOM1arUaarXaaDkQEZHp4sRKwzz22GP47LPPMHfuXL3zKSkp6Nixo8HxGlREODk5GRzYGO7cuVPtVk5LS0uj74dORERmisMZBlm4cCFCQ0Nx5MgR9O3bFyqVCseOHcPXX3+Nzz77zOB4DSoiNm7caHBgYxg+fDiWLFmCtm3bomvXrsjKysKKFSswefJkRfIhIiIyZ6NGjcLp06exYsUK7N69G4IgoEuXLjh9+jR69uxpcDxREysrKytx+PBhXL16FWPHjoWDgwOuX78OR0dHNG/eXEzIGq1evRqxsbGYOnUqCgsL4eHhgTfffBP/+te/jPYYRERkxqTuf9GEeiIqKirwxhtvIDY2Flu2bDFKTIOLiGvXrmHIkCHIyclBWVkZBg0aBAcHByxfvhylpaVYt26dURIDAAcHByQkJCAhIcFoMYmI6CHC4YwGs7a2xq5duxAbG2u0mAbfnREREQE/Pz/8+eefsLOz050fOXIkvv76a6MlRkRERMY1cuRI7N6922jxDO6JOHbsGI4fPw4bGxu9815eXsjLyzNaYkRERPViT4RBHnvsMSxevBgnTpyAr68v7O3t9b4/c+ZMg+IZXERotVpoNJpq53/99Vc4ODgYGo6IiEg03uJpmI8//hgtWrRAZmYmMjMz9b6nUqnkLyIGDRqEhIQEJCcn6x701q1bWLBgQZ3LURMREZGy7t/RU5ENuFauXIn09HR06dIFpaWlGDt2LNq1a4e8vDwsW7ZMdCJEREQkvw0bNsDHxwe2trawtbWFj48PPv74Y1GxDO6J8PDwwPnz57Fjxw5kZmZCq9Xitddew7hx4/QmWpoaVaUFVJXGX+Xb8rZ8K4drreTrZxNkjF3uJPOGNjKuNSZYypf7HXf53isWFbKFhkbGBWAFS/liVzaT7z1eaSdzH7i1nG9yGXc7kGszq7rick6EQWJjY7Fy5UrMmDED/v7+AO7tmB0VFYVffvkF77zzjkHxDC4ifvvtN7i5uWHSpEmYNGmS3vcuXryI7t27GxqSiIhIFM6JMExSUhLWr1+vt5HlCy+8gO7du2PGjBkGFxEGl6TdunVDampqtfPvv/8++vTpY2g4IiIiaiQajQZ+fn7Vzvv6+qKystLgeAYXEbNnz0ZoaCjCw8Nx9+5d5OXl4dlnn8V7772HlJQUgxMgIiKSRJBwNDGvvvoqkpKSqp1PTk7GuHHjDI5n8HDGW2+9hYEDB+LVV19F9+7d8ccff+Cpp57CxYsX4ebmZnACREREonFOhME2bNiAAwcO4KmnngIAnDx5Erm5uRg/fjyio6N17VasWFFvLFF7Z7Rv3x5du3bFzp07AQBjxoxhAUFERGTivvvuO/Tq1QsAcPXqVQBAq1at0KpVK3z33Xe6dg297dPgIuL48eN49dVX4eLigosXL+L48eOYMWMG/vvf/+Kjjz6Cs7OzoSGJiIhE4cRKwxw6dMio8QyeE/Hss88iNDQUGRkZ6Ny5M15//XVkZWXh119/Rbdu3YyaHBERUZ2kzIdoovMijMngnogDBw5gwIABeuc6dOiAY8eOYcmSJUZLjIiIiEybwT0RDxYQukAWFkbdXpSIiKg+VcMZUg4x1q5dC29vb9ja2sLX1xdHjx6ts316ejp8fX1ha2uL9u3bY926ddXa7Ny5E126dIFarUaXLl2wa9euWuPFx8dDpVIhMjJS3BMwkgb1RKxatQpvvPEGbG1tsWrVqlrbqVQqzJgxw2jJERER1UmBuzNSUlIQGRmJtWvXom/fvvjoo48QHByMS5cuoW3bttXaZ2dnY+jQoZgyZQq2bNmC48ePY+rUqWjVqhVGjRoF4N6qkaGhoVi8eDFGjhyJXbt2YcyYMTh27Fi1NZjOnDmD5ORkk1jcUSVU7cBRB29vb5w9exYuLi7w9vauPZhKhZ9//tmoCUpVUlICJycneH6wGBZ2tkaPb67LXlvfkm95Z/Wf5rzstXyxIePLwmWvq5Nz2euK5vIOpGudZfyBlsu47LVMobV3S/HrjAUoLi6Go6MjgL9/t/+/6KWwVIv/3a4pK8WVFXP1YtenT58+6NWrl956C507d8aIESMQHx9frf3s2bORmpqKy5cv686Fh4fjwoULyMjIAACEhoaipKQE+/fv17UZMmQInJ2dsX37dt25W7duoVevXli7di3eeecd9OjRAwkJCYY+baNp0I88OzsbLi4uuv+v7TC1AoKIiMiYysvLkZmZiaCgIL3zQUFBOHHiRI3XZGRkVGs/ePBgnD17FhUVFXW2eTDmtGnTMGzYMAwcOFDqUzEKUetEVDHGNqJERERiGesWz5KSEr3zarUaanX1briioiJoNJpqayO5ubmhoKCgxscoKCiosX1lZSWKiorQpk2bWtvcH3PHjh04d+4czpw50+DnJzdRnU/G3EaUiIhINCPd4unp6QknJyfdUdOwxP0e/ONZEIQ6/6Cuqf2D5+uKmZubi4iICGzZsgW2tsYfmhfL4J4IY28jSkREpLTc3Fy9ORE19UIAgKurKywtLav1OhQWFta6crO7u3uN7a2srHRTBWprUxUzMzMThYWF8PX11X1fo9HgyJEjSExMRFlZGSwt5ZzUVTODiwhjbyNKREQkmpHuznB0dGzQxEobGxv4+voiLS0NI0eO1J1PS0tDSEhIjdf4+/tj7969eucOHDgAPz8/WFtb69qkpaUhKipKr01AQAAA4LnnnsO3336rF2PSpEno1KkTZs+erUgBAYgoIoy9jSgREZFYSix7HR0djbCwMPj5+cHf3x/JycnIyclBeHg4ACAmJgZ5eXnYvHkzgHt3YiQmJiI6OhpTpkxBRkYGNmzYoHfXRUREBPr3749ly5YhJCQEe/bswcGDB3Hs2DEAgIODA3x8fPTysLe3h4uLS7XzjcngORHG3kaUiIjInISGhiIhIQGLFi1Cjx49cOTIEezbtw9eXl4AgPz8fOTk5Ojae3t7Y9++fTh8+DB69OiBxYsXY9WqVbo1IgAgICAAO3bswMaNG9G9e3d88sknSElJqbZGhKlp0DoR95sxYwY2b94MT0/PGrcRreqaARq2jajcuE5EzbhORM24TkR1XCeiOq4TUQsF1onoNEP6OhE/rDZsnQj6m8HDGcbeRpSIiEgs7uKpLIOLCGNvI0pERETmSdJiU0RERIpSYO8M+luTKSIsylSwkGGIxeq2fMM2co4XCzKONpU7yBcbAFQa+WJr7OT7jaK1rr+N+Njy5S1nd6+qQsbPj4xzimSdOwNAdUu+X82qSvN7zVWldUy2YBGhqCZTRBAR0cNHBWlzljl7TxoZp+kSERHRw4w9EUREZL44nKEoFhFERGS2eIunsjicQURERKKwJ4KIiMwXhzMUpWhPxJEjRzB8+HB4eHhApVJh9+7det8XBAFxcXHw8PCAnZ0dAgMD8f333yuTLBERmSZBwkGSKFpE3L59G0888QQSExNr/P7y5cuxYsUKJCYm4syZM3B3d8egQYNw8+bNRs6UiIiIHqTocEZwcDCCg4Nr/J4gCEhISMC8efPw4osvAgA2bdoENzc3bNu2DW+++WZjpkpERCaIEyuVZbITK7Ozs1FQUICgoCDdObVajQEDBuDEiRMKZkZERCZDylAGhzQkM9mJlQUFBQAANzc3vfNubm64du1ardeVlZWhrKxM93VJSYk8CRIRETVxJtsTUeXBLcUFQahzm/H4+Hg4OTnpDk9PT7lTJCIihVQNZ0g5SDyTLSLc3d0B/N0jUaWwsLBa78T9YmJiUFxcrDtyc3NlzZOIiBTE4QxFmWwR4e3tDXd3d6SlpenOlZeXIz09HQEBAbVep1ar4ejoqHcQEdHDiT0RylJ0TsStW7fw008/6b7Ozs7G+fPn0bJlS7Rt2xaRkZFYunQpOnbsiI4dO2Lp0qVo1qwZxo4dq2DWREREBChcRJw9exbPPPOM7uvo6GgAwIQJE/DJJ5/g7bffxt27dzF16lT8+eef6NOnDw4cOAAHBwelUiYiIlPCFSsVpWgRERgYCEGo/SeoUqkQFxeHuLi4xkuKiIjMB4sIRZnsnAgiIiIybSa7TgQREVF9uGKlslhEEBGR+eJwhqI4nEFERESisCeCiIjMlkoQoKpjgn5DrifxmkwRYXlHBQtt7ctli2V1x+gh72P8fKtobGULDUG+tO+RMb7VHfmCV9rL98tKJcN7u4qcP0+VVsbY5fIlbnVb3je51V35Ysv58yx3kuc9riqto9OcwxmK4nAGERERidJkeiKIiOjhw7szlMUigoiIzBeHMxTFIoKIiMwWeyKUxTkRREREJAp7IoiIyHxxOENRLCKIiMhscThDWRzOICIiIlHYE0FEROaLwxmKYhFBRERmjUMSyuFwBhEREYnCnggiIjJfgnDvkHI9icYigoiIzBbvzlAWhzOIiIhIFPZEEBGR+eLdGYpiEUFERGZLpb13SLmexGMRQURE5os9EYrinAgiIiIShT0RRERktnh3hrJYRBARkfniOhGK4nAGERERicKeCCIiMlsczlBWkykiVJUqWFSqjB7X6rbRQ/4d+6587+5Ke+O/FlXKnGULDQDQ2Mr3uggy9s3JGRvy/Thlja2qkC+2hUa+xK1uyRYaAKD+S773uEYt3+uisZUpdlkdcXl3hqI4nEFERESiNJmeCCIievhwOENZLCKIiMh88e4MRXE4g4iIiERhTwQREZktDmcoi0UEERGZL96doShFhzOOHDmC4cOHw8PDAyqVCrt379Z9r6KiArNnz0a3bt1gb28PDw8PjB8/HtevX1cuYSIiMilVPRFSDhJP0SLi9u3beOKJJ5CYmFjte3fu3MG5c+cQGxuLc+fO4YsvvsCVK1fwwgsvKJApERERPUjR4Yzg4GAEBwfX+D0nJyekpaXpnVu9ejWefPJJ5OTkoG3bto2RIhERmTKtcO+Qcj2JZlZzIoqLi6FSqdCiRQulUyEiIlPAORGKMpsiorS0FHPmzMHYsWPh6OhYa7uysjKUlZXpvi4pKWmM9IiIiJocs1gnoqKiAi+//DK0Wi3Wrl1bZ9v4+Hg4OTnpDk9Pz0bKkoiIGpsKEidWKv0EzJzJFxEVFRUYM2YMsrOzkZaWVmcvBADExMSguLhYd+Tm5jZSpkRE1OiqVqyUcpBoJl1EVBUQ//vf/3Dw4EG4uLjUe41arYajo6PeQUREZExr166Ft7c3bG1t4evri6NHj9bZPj09Hb6+vrC1tUX79u2xbt26am127tyJLl26QK1Wo0uXLti1a5fe9+Pj49G7d284ODigdevWGDFiBH788UejPi9DKVpE3Lp1C+fPn8f58+cBANnZ2Th//jxycnJQWVmJ0aNH4+zZs9i6dSs0Gg0KCgpQUFCA8vJyJdMmIiITocQ6ESkpKYiMjMS8efOQlZWFfv36ITg4GDk5OTW2z87OxtChQ9GvXz9kZWVh7ty5mDlzJnbu3Klrk5GRgdDQUISFheHChQsICwvDmDFjcOrUKV2b9PR0TJs2DSdPnkRaWhoqKysRFBSE27dvG/4kjEQlCMr15Rw+fBjPPPNMtfMTJkxAXFwcvL29a7zu0KFDCAwMbNBjlJSUwMnJCR3mLIWlra2UdGtke8PoIXWs7sr3o6m0l28ksMxZttAAAI1avtdFkLGsljO2rAO7Msa2KKu/jejYGvkSt7olW2gAgPov+d7jGrV8r8vd1vLE1ZSW4uelc1FcXKzrXa763f70M3GwshL/u72yshTHDsXpxa5Pnz590KtXLyQlJenOde7cGSNGjEB8fHy19rNnz0ZqaiouX76sOxceHo4LFy4gIyMDABAaGoqSkhLs379f12bIkCFwdnbG9u3ba8zjxo0baN26NdLT09G/f/8G5W5sit6dERgYiLpqGAXrGyIiomrKy8uRmZmJOXPm6J0PCgrCiRMnarwmIyMDQUFBeucGDx6MDRs2oKKiAtbW1sjIyEBUVFS1NgkJCbXmUlxcDABo2bKliGdiHGZziycREdGDVIIAlYQ/OKuufXA5ALVaDbVaXa19UVERNBoN3Nzc9M67ubmhoKCgxscoKCiosX1lZSWKiorQpk2bWtvUFlMQBERHR+Ppp5+Gj49P3U9SRiY9sZKIiKhOWiMcADw9PfWWB6hpWOJ+KpX+sJAgCNXO1df+wfOGxJw+fTouXrxY61BHY2FPBBERmS1j9UTk5ubqzYmoqRcCAFxdXWFpaVmth6CwsLBaT0IVd3f3GttbWVnp7jqsrU1NMWfMmIHU1FQcOXIEjz76aD3PUF7siSAioibvwaUBaisibGxs4OvrW21vp7S0NAQEBNR4jb+/f7X2Bw4cgJ+fH6ytretsc39MQRAwffp0fPHFF/jmm29qvfmgMbEngoiIzJcCe2dER0cjLCwMfn5+8Pf3R3JyMnJychAeHg7g3qKHeXl52Lx5M4B7d2IkJiYiOjoaU6ZMQUZGBjZs2KA3FBEREYH+/ftj2bJlCAkJwZ49e3Dw4EEcO3ZM12batGnYtm0b9uzZAwcHB13PhZOTE+zs7CS8COKxiCAiIvMlddVJEdeGhobi999/x6JFi5Cfnw8fHx/s27cPXl5eAID8/Hy9NSO8vb2xb98+REVFYc2aNfDw8MCqVaswatQoXZuAgADs2LED8+fPR2xsLDp06ICUlBT06dNH16bqltIHlzjYuHEjJk6caPDzMAZF14loDFX3EnsvWAILGdaJcMw2ekgd2z+0ssUuc5JvJOvWo/KuRl/eUr7XRbCScQ0Ka/nyVqllfE0q5ft5WpTI93eM7Q353uNyruMAAJYyrp9R0VzOdSLkeV20paX4efG8GteJ6N83VvI6EUeOLzZonQj6G3siiIjIbIlddfL+60k8FhFERGS+FBjOoL/x7gwiIiIShT0RRERktlTae4eU60k8FhFERGS+OJyhKA5nEBERkSjsiSAiIvOlwGJT9DcWEUREZLaMtXcGicMigoiIzBfnRCiKcyKIiIhIFPZEEBGR+RIASLlNkx0RkrCIICIis8U5EcricAYRERGJwp4IIiIyXwIkTqw0WiZNEosIIiIyX7w7Q1EcziAiIiJR2BNBRETmSwtAJfF6Eo1FBBERmS3enaEsFhFERGS+OCdCUZwTQURERKKwJ4KIiMwXeyIUxSKCiIjMF4sIRTWZIkJjK0CwNf6b5a6rfCNCVnelTDmumyBfaNkHyQQLGT/0GvleGJWML4xgJeNrIuObRc73uErGWfeVzeT8AAHljvLF1qjli13ZTJ73oVbOzzxJ0mSKCCIiegjxFk9FsYggIiKzxVs8lcW7M4iIiEgU9kQQEZH54sRKRbGIICIi86UVAJWEQkDLIkIKDmcQERGRKIoWEUeOHMHw4cPh4eEBlUqF3bt319r2zTffhEqlQkJCQqPlR0REJq5qOEPKQaIpWkTcvn0bTzzxBBITE+tst3v3bpw6dQoeHh6NlBkREZkHqQUEiwgpFJ0TERwcjODg4Drb5OXlYfr06fjqq68wbNiwRsqMiIjMAidWKsqkJ1ZqtVqEhYVh1qxZ6Nq1a4OuKSsrQ1lZme7rkpISudIjIiJq0kx6YuWyZctgZWWFmTNnNvia+Ph4ODk56Q5PT08ZMyQiIkVpBekHiWayRURmZiY+/PBDfPLJJ1CpGr6maUxMDIqLi3VHbm6ujFkSEZGiBK30g0Qz2SLi6NGjKCwsRNu2bWFlZQUrKytcu3YNb731Ftq1a1frdWq1Go6OjnoHERERGZ/JzokICwvDwIED9c4NHjwYYWFhmDRpkkJZERGRSeHESkUpWkTcunULP/30k+7r7OxsnD9/Hi1btkTbtm3h4uKi197a2hru7u54/PHHGztVIiIyRVqJt2lyToQkihYRZ8+exTPPPKP7Ojo6GgAwYcIEfPLJJwplRURERA2haBERGBgIwYCupF9++UW+ZIiIyPxwOENRJjsngoiIqF4CJBYRRsukSTLZuzOIiIjItLEngoiIzBeHMxTFIoKIiMyXVgtAwoJRWi42JQWLCCIiMl/siVBUkykiBOcKCHaWRo9711q+l9Ciwvj56jR8JXGDVTjIW9kL1vJ96K1uyjlNSL4XvVIt42uukfHNImPagowfnzuu8v7DI1jJF19VKd/PU2uvkSeuhTxxSbomU0QQEdFDiD0RimIRQURE5osrViqKt3gSERGRKOyJICIisyUIWggStvOWci2xiCAiInMmCNKGJDgnQhIOZxAREZEo7IkgIiLzJUicWMmeCElYRBARkfnSagGVhHkNnBMhCYcziIiISBT2RBARkfnicIaiWEQQEZHZErRaCBKGM3iLpzQsIoiIyHyxJ0JRnBNBREREorAngoiIzJdWAFTsiVAKiwgiIjJfggBJe8qziJCEwxlEREQkCnsiiIjIbAlaAYKE4QyBPRGSsCeCiIjMl6CVfoiwdu1aeHt7w9bWFr6+vjh69Gid7dPT0+Hr6wtbW1u0b98e69atq9Zm586d6NKlC9RqNbp06YJdu3ZJfly5sYggIiIyQEpKCiIjIzFv3jxkZWWhX79+CA4ORk5OTo3ts7OzMXToUPTr1w9ZWVmYO3cuZs6ciZ07d+raZGRkIDQ0FGFhYbhw4QLCwsIwZswYnDp1SvTjNgaV8JD35ZSUlMDJyQme6xbAws7W+A9wU74RIftrlrLFhkq+0Hfd5V28RdNMvvhWN2V8zWVU6VwpX3CNfG8Wmxvyvd5Wd+XLu8xZ3l+bgpV88VWV8r0uGkd53ofau6X4NWIBiouL4ejoCODv3+2BqpGwUlmLjl0pVOCwsEsvdn369OmDXr16ISkpSXeuc+fOGDFiBOLj46u1nz17NlJTU3H58mXdufDwcFy4cAEZGRkAgNDQUJSUlGD//v26NkOGDIGzszO2b98u6nEbA3siiIjIfDXycEZ5eTkyMzMRFBSkdz4oKAgnTpyo8ZqMjIxq7QcPHoyzZ8+ioqKizjZVMcU8bmN46CdWVnW0aO+WyfMAd+V7CTVl5tkToS2VtydCK2XHvvpil5pnT4T2rnn2RMj5emvK5MybPRE10VrL1BNRWgqg5kmQlaiQtGBlJe79I15SUqJ3Xq1WQ61WV2tfVFQEjUYDNzc3vfNubm4oKCio8TEKCgpqbF9ZWYmioiK0adOm1jZVMcU8bmN46IuImzdvAgDyot5VOBMiIpLi5s2bcHJyAgDY2NjA3d0dxwr2SY7bvHlzeHp66p1bsGAB4uLiar1GpdIvxgRBqHauvvYPnm9ITEMfV24PfRHh4eGB3NxcODg4NOiFLikpgaenJ3Jzcxs8PmYKmHfjYt6Nz1xzZ97SCYKAmzdvwsPDQ3fO1tYW2dnZKC8vN0r8B/99qKkXAgBcXV1haWlZ7a//wsLCar0EVdzd3Wtsb2VlBRcXlzrbVMUU87iN4aEvIiwsLPDoo48afJ2jo6PiHxwxmHfjYt6Nz1xzZ97SVPVA3M/W1ha2tjJMmK+DjY0NfH19kZaWhpEjR+rOp6WlISQkpMZr/P39sXfvXr1zBw4cgJ+fH6ytrXVt0tLSEBUVpdcmICBA9OM2hoe+iCAiIjKm6OhohIWFwc/PD/7+/khOTkZOTg7Cw8MBADExMcjLy8PmzZsB3LsTIzExEdHR0ZgyZQoyMjKwYcMG3V0XABAREYH+/ftj2bJlCAkJwZ49e3Dw4EEcO3aswY+rBBYRREREBggNDcXvv/+ORYsWIT8/Hz4+Pti3bx+8vLwAAPn5+XprN3h7e2Pfvn2IiorCmjVr4OHhgVWrVmHUqFG6NgEBAdixYwfmz5+P2NhYdOjQASkpKejTp0+DH1cRAukpLS0VFixYIJSWliqdikGYd+Ni3o3PXHNn3vQwe+gXmyIiIiJ5cLEpIiIiEoVFBBEREYnCIoKIiIhEYRFBJEG7du2QkJBgtHgTJ07EiBEjjBbPWA4fPgyVSoW//vpL6VSIyISwiCCS4MyZM3jjjTca7fFKS0sxceJEdOvWDVZWViZZcBBR08EigkiCVq1aoVmzZo32eBqNBnZ2dpg5cyYGDhzYaI9LRFQTFhFEtQgMDMT06dMxffp0tGjRAi4uLpg/f77eToL3D2ccPnwYNjY2OHr0qO77H3zwAVxdXZGfnw8AyMvLQ2hoKJydneHi4oKQkBD88ssvDc7J3t4eSUlJmDJlCtzd3Rt0jb+/P+bMmaN37saNG7C2tsahQ4cAAFu2bIGfnx8cHBzg7u6OsWPHorCwsNaYcXFx6NGjh965hIQEtGvXTu/cxo0b0blzZ9ja2qJTp05Yu3Ztg3ImIvPAIoKoDps2bYKVlRVOnTqFVatWYeXKlfj4449rbBsYGIjIyEiEhYWhuLgYFy5cwLx587B+/Xq0adMGd+7cwTPPPIPmzZvjyJEjOHbsGJo3b44hQ4YYZROh2owbNw7bt2/XK35SUlLg5uaGAQMGAADKy8uxePFiXLhwAbt370Z2djYmTpwo6XHXr1+PefPmYcmSJbh8+TKWLl2K2NhYbNq0SVJcIjIdXPaaqA6enp5YuXIlVCoVHn/8cXz77bdYuXIlpkyZUmP7d955BwcPHsQbb7yB77//HmFhYbrNcnbs2AELCwt8/PHHuh0DN27ciBYtWuDw4cMICgqS5TmEhoYiKioKx44dQ79+/QAA27Ztw9ixY2Fhce/viMmTJ+vat2/fHqtWrcKTTz6JW7duoXnz5qIed/Hixfjggw/w4osvAri39O+lS5fw0UcfYcKECRKfFRGZAvZEENXhqaee0tsi2N/fH//73/+g0WhqbG9jY4MtW7Zg586duHv3rt6dG5mZmfjpp5/g4OCA5s2bo3nz5mjZsiVKS0tx9epV2Z5Dq1atMGjQIGzduhUAkJ2djYyMDIwbN07XJisrCyEhIfDy8oKDgwMCAwMBQG/9f0PcuHEDubm5eO2113TPtXnz5njnnXdkfa5E1LjYE0FkZCdOnAAA/PHHH/jjjz9gb28PANBqtfD19dX9Y36/Vq1ayZrTuHHjEBERgdWrV2Pbtm3o2rUrnnjiCQDA7du3ERQUhKCgIGzZsgWtWrVCTk4OBg8eXOswi4WFBR5cMb+iokL3/1qtFsC9IY37NxACAEtLS2M+NSJSEIsIojqcPHmy2tcdO3as9R/Cq1evIioqCuvXr8dnn32G8ePH4+uvv4aFhQV69eqFlJQUtG7dGo6Ojo2Rvs6IESPw5ptv4ssvv8S2bdsQFham+94PP/yAoqIivPvuu/D09AQAnD17ts54rVq1QkFBAQRB0PXUnD9/Xvd9Nzc3PPLII/j555/1ejyI6OHC4QyiOuTm5iI6Oho//vgjtm/fjtWrVyMiIqLGthqNBmFhYQgKCsKkSZOwceNGfPfdd/jggw8A3OsNcHV1RUhICI4ePYrs7Gykp6cjIiICv/76a4NzunTpEs6fP48//vgDxcXFOH/+vN4/4DWxt7dHSEgIYmNjcfnyZYwdO1b3vbZt28LGxgarV6/Gzz//jNTUVCxevLjOeIGBgbhx4waWL1+Oq1evYs2aNdi/f79em7i4OMTHx+PDDz/ElStX8O2332Ljxo1YsWJFg58rEZk4JbcQJTJlAwYMEKZOnSqEh4cLjo6OgrOzszBnzhxBq9Xq2nh5eQkrV64UBEEQFi5cKLRp00YoKirSfX/37t2CjY2NkJWVJQiCIOTn5wvjx48XXF1dBbVaLbRv316YMmWKUFxcLAiCIEyYMEEICQmpMy8vLy8BQLWjPv/9738FAEL//v2rfW/btm1Cu3btBLVaLfj7+wupqakCAF3ehw4dEgAIf/75p+6apKQkwdPTU7C3txfGjx8vLFmyRPDy8tKLu3XrVqFHjx6CjY2N4OzsLPTv31/44osv6s2ViMwDtwInqkVgYCB69Ohh1GWtiYgeJhzOICIiIlFYRBAREZEoHM4gIiIiUdgTQURERKKwiCAiIiJRWEQQERGRKCwiiIiISBQWEURERCQKiwgiIiIShUUEERERicIigoiIiERhEUFERESi/H8Kb3ck6O96hgAAAABJRU5ErkJggg==", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(10,2))\n", | |
"for idx in (0, 1, 4, 8, 16):\n", | |
" fig, ax = plt.subplots()\n", | |
" prob = m_his[idx,:].reshape(16,16)/sum(m_his[idx,:])\n", | |
" im = ax.matshow(prob, vmin=0, vmax=0.01)\n", | |
" plt.xlabel(\"pixel 1 value\")\n", | |
" plt.ylabel(\"pixel 2 value\")\n", | |
" plt.title(f\"time={idx}\")\n", | |
" \n", | |
" divider = make_axes_locatable(ax)\n", | |
" cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", | |
" cb = plt.colorbar(im, cax=cax)\n", | |
" cb.set_label(\"probility\")\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "1f3ffaad-dd3e-4cc7-ad2b-1821471d5da8", | |
"metadata": {}, | |
"source": [ | |
"### Define the multi-layer preceptron to learn reversing the probabilistic distribution" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "7b968071-8122-4272-82cf-34b7557c7ca2", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"class MLP(nn.Module):\n", | |
"\n", | |
" def __init__(self, n: int,\n", | |
" dropout: float = 0.5):\n", | |
" super().__init__()\n", | |
" self.mlp = nn.Sequential(\n", | |
" nn.Linear(n, n),\n", | |
" nn.ReLU(),\n", | |
" nn.Linear(n, n),\n", | |
" )\n", | |
"\n", | |
" self.init_weights()\n", | |
"\n", | |
" def init_weights(self) -> None:\n", | |
" \n", | |
" def init_weights(m):\n", | |
" initrange = 0.1\n", | |
" if type(m) == nn.Linear:\n", | |
" m.weight.data.uniform_(-initrange, initrange)\n", | |
" m.bias.data.zero_()\n", | |
"\n", | |
" self.mlp.apply(init_weights)\n", | |
"\n", | |
"\n", | |
" def forward(self, v: Tensor) -> Tensor:\n", | |
" return self.mlp(v)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "d9f17700-160d-4e82-ba9d-431ba748aac8", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"## For get training batch\n", | |
"def get_batches():\n", | |
" x = []\n", | |
" y = []\n", | |
" for i in range(10):\n", | |
" s = random.randint(0, 19)\n", | |
" if s != 0:\n", | |
" x.append(m_his[s])\n", | |
" y.append(m_his[s-1])\n", | |
" else:\n", | |
" x.append(m_his[s])\n", | |
" y.append(m_his[s])\n", | |
" x = torch.tensor(x).float()\n", | |
" y = torch.tensor(y).float()\n", | |
" return x, y\n", | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "9344d88f-1b80-4207-90cf-afaafd40e283", | |
"metadata": { | |
"tags": [] | |
}, | |
"source": [ | |
"## Simple training process" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "6369b452-1922-454f-a7ed-b496bd4e97d7", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"model = MLP(256)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"id": "b85146f4-49e4-4c1a-99de-309a12f8c33f", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"lr = 1\n", | |
"optimizer = torch.optim.SGD(model.parameters(), lr=lr)\n", | |
"scheduler = torch.optim.lr_scheduler.StepLR(optimizer, 1.0, gamma=0.95)\n", | |
"mse_loss = torch.nn.MSELoss()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"id": "3a71b44a-5015-4d49-87c1-6967ca2730db", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/tmp/ipykernel_1487135/597483385.py:13: UserWarning: Creating a tensor from a list of numpy.ndarrays is extremely slow. Please consider converting the list to a single numpy.ndarray with numpy.array() before converting to a tensor. (Triggered internally at /opt/conda/conda-bld/pytorch_1695392035891/work/torch/csrc/utils/tensor_new.cpp:261.)\n", | |
" x = torch.tensor(x).float()\n" | |
] | |
}, | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"0 0.15717798471450806\n", | |
"2000 0.0005120435962453485\n", | |
"4000 0.00025577261112630367\n", | |
"6000 6.959247548365965e-05\n", | |
"8000 4.173900742898695e-05\n", | |
"10000 2.5118502890109085e-05\n", | |
"12000 2.0439580111997202e-05\n", | |
"14000 2.768384547380265e-05\n", | |
"16000 1.9540961147868074e-05\n", | |
"18000 2.6746662115328945e-05\n", | |
"20000 2.197672256443184e-05\n" | |
] | |
} | |
], | |
"source": [ | |
"for i in range(20001):\n", | |
" x, y = get_batches()\n", | |
" loss = mse_loss(model(x),y)\n", | |
" if i % 2000 == 0:\n", | |
" print(i, loss.item())\n", | |
" optimizer.zero_grad()\n", | |
" loss.backward()\n", | |
" torch.nn.utils.clip_grad_norm_(model.parameters(), 0.1)\n", | |
" optimizer.step()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "45fd9789-ac70-472b-b7dd-738f495aff56", | |
"metadata": { | |
"tags": [] | |
}, | |
"source": [ | |
"### Generate the learned time-reversal probablistic distribution" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"id": "a261dc24-1d68-42f3-b56b-21b355c71f4b", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"name": "stderr", | |
"output_type": "stream", | |
"text": [ | |
"/tmp/ipykernel_1487135/2590214175.py:5: UserWarning: To copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor).\n", | |
" mh = model(torch.tensor(mh).float())\n" | |
] | |
} | |
], | |
"source": [ | |
"reverse = []\n", | |
"mh = torch.tensor(np.ones(256)/256).float()\n", | |
"reverse.append(mh.detach().numpy())\n", | |
"for i in range(20):\n", | |
" mh = model(torch.tensor(mh).float())\n", | |
" reverse.append(mh.detach().numpy())\n", | |
"reverse = np.array(reverse)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"id": "d996d59b-0cc5-4dca-ad13-a7ef9abfbd35", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"#plt.matshow(reverse[:20])\n", | |
"#for s in range(0,15,2):\n", | |
"# plt.plot(5*reverse[s]/(20-s)+s/5)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "99beb1e8-96b0-4f95-9003-ee0edd67797b", | |
"metadata": {}, | |
"source": [ | |
"### Show the learned time-reversal probablistic distribution" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"id": "f17913cd-2f15-42ad-9c67-87d13f312dc8", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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", | |
"text/plain": [ | |
"<Figure size 640x480 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"for idx in (0, 1, 2, 4, 8, 16):\n", | |
" \n", | |
" fig, ax = plt.subplots()\n", | |
" prob = reverse[idx].reshape(16,16)/sum(reverse[idx])\n", | |
" im= ax.matshow(prob, vmin=0, vmax=0.01)\n", | |
" plt.xlabel(\"pixel 1 value\")\n", | |
" plt.ylabel(\"pixel 2 value\")\n", | |
" plt.title(f\"time={idx}\")\n", | |
" \n", | |
" divider = make_axes_locatable(ax)\n", | |
" cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", | |
" cb = plt.colorbar(im, cax=cax)\n", | |
" cb.set_label(\"probility\")\n", | |
"\n", | |
" " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"id": "980baa90-9b24-4638-976a-310378d32f0a", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [], | |
"source": [ | |
"#plt.plot(reverse[0],\"s-\")\n", | |
"#plt.plot(reverse[-1],\"d-\")\n", | |
"#plt.plot(m_his[0], \"o-\")\n", | |
"#plt.figure()\n", | |
"#plt.plot(m_his[0], reverse[-1], \".\")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"id": "384f16cf-3c41-4597-8052-7f4bb9284ea4", | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.11.5" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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