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Generating NeuPy logo with SOFM.ipynb
401 lines (401 loc) · 396 KB
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Generating NeuPy logo with SOFM.ipynb
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:04.351597Z",
"start_time": "2017-12-17T18:04:04.063095+01:00"
},
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"plt.style.use('ggplot')\n",
"red, blue, white = ('#E24A33', '#348ABD', '#FFFFFF')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:04.358532Z",
"start_time": "2017-12-17T18:04:04.353911+01:00"
},
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import os\n",
"import sys\n",
"\n",
"CURRENT_DIR = os.path.abspath(os.path.dirname(__name__))\n",
"LIBRARY_DIR = os.path.join(CURRENT_DIR, '..', '..')\n",
"\n",
"sys.path.append(LIBRARY_DIR)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:04.364489Z",
"start_time": "2017-12-17T18:04:04.360299+01:00"
},
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import os\n",
"\n",
"CURRENT_DIR = os.path.abspath(os.path.dirname(__name__))\n",
"\n",
"def saveas(name):\n",
" image_name = '{}.png'.format(name)\n",
" image_path = os.path.join(LIBRARY_DIR, 'site', '2017', '12', '17', 'images', image_name)\n",
" plt.savefig(image_path, facecolor='#f8fafb', bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:04.642133Z",
"start_time": "2017-12-17T18:04:04.366326+01:00"
},
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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M7t/WOjiio6Px0UcfaV7Lv//9b4SGhuLOnTuWdQL/O7pkS6PoKleunM0JmkQp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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106ae74a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = plt.gca()\n",
"ax.patch.set_facecolor(white)\n",
"ax.text(0, 0.25, 'NeuPy', fontsize=120)\n",
"\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"\n",
"plt.savefig('neupy-text.png', facecolor=white, bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:05.655279Z",
"start_time": "2017-12-17T18:04:04.643712+01:00"
},
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/itdxer/.pyenv/versions/3.6.0/envs/neupy36/lib/python3.6/site-packages/ipykernel/__main__.py:4: DeprecationWarning: `imread` is deprecated!\n",
"`imread` is deprecated in SciPy 1.0.0, and will be removed in 1.2.0.\n",
"Use ``imageio.imread`` instead.\n"
]
},
{
"data": {
"image/png": 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t6Ygcp4le8lOYmar8pBOAISc1lTZsFu1OsfIeV7ket9CYhKzdwfRZwJm1yV2s56DocWrG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\nxZAjIiJl/T/M13ZvBRUAJwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106af4dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"from scipy.misc import imread\n",
"\n",
"neupy_text = imread('neupy-text.png') \n",
"# Encode black pixels as 1 and white pixels as 0\n",
"neupy_text = (1 - neupy_text / 255.).round().max(axis=2)\n",
"\n",
"data = []\n",
"for (x, y), value in np.ndenumerate(neupy_text):\n",
" if value == 1:\n",
" data.append([y, -x + 300])\n",
" \n",
"data = np.array(data)\n",
"\n",
"plt.figure(figsize=(7, 4))\n",
"plt.scatter(*data.T, color=blue)\n",
"\n",
"plt.xlim(-60, 600)\n",
"plt.ylim(0, 220)\n",
"\n",
"saveas('neupy-text-data-points')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:04:06.621035Z",
"start_time": "2017-12-17T18:04:05.657025+01:00"
},
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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hmdkOEiMY6rCar1zOfGfKjEhiRBBE2+xgiVERBufwAQjG5YYR49I74HmAM5nJjZqYl4IE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lB6nZmcmWF00sPcIwHlbHCgl1k+k2Jk2WJuMQyAaHnTqxF6g7DyaEYxGm6ZGP3A19jeGzKnyUXY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\n/wMVc1vG6zvZzgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x108e55320>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Generate weights and arange them along sine wave.\n",
"# Because sine way goes up and down the final pattern\n",
"# will look more interesting.\n",
"n = 1000\n",
"weight = np.zeros((2, n))\n",
"weight[0, :] = np.linspace(25, 500, n)\n",
"weight[1, :] = (np.sin(np.linspace(0, 100, n)) + 1) * 50 + 50\n",
"weight = np.concatenate([weight, weight], axis=1)\n",
"\n",
"plt.figure(figsize=(13, 6))\n",
"plt.scatter(*weight, zorder=100, color=blue)\n",
"plt.scatter(*data.T, color=red, alpha=0.01)\n",
"\n",
"plt.xlim(-60, 600)\n",
"plt.ylim(0, 220)\n",
"\n",
"saveas('initialized-sofm-weights')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:07:28.355716Z",
"start_time": "2017-12-17T18:04:06.622686+01:00"
},
"collapsed": false,
"deletable": true,
"editable": true,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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1pT7wYsjlnhFye1QT0CSlB9aKXJMBBRlG2dz8/DxCXsFhX+e+SdRzXkLB0iMt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\nVujF4yAxyGRAm9U7ZYenvp6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ZzgpwYk5k943PVP0erNpVj0u9joBTkuh10tueaJk24r7x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\ngiCIOOb/AwGun41xRaFaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b185b00>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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slOSnha9RBEGoDloJRCHNZiue3+EpAABg1b4WVLdYwtMogiBUCQmBKGT5rgYwH3/79faG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\n/7ka+/T8Ruk/AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109d975c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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qEOOwP5yxDmogpQyokvDrSitVZ1quQRjozRGlFEoPYLZgo9iiEBICQVLHMxza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\nQ0KAIAgijiEhQBAEEcf8f4e1Ob6A8d2fAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b2a92b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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QYbfAbDLIFosR0RKSbzUKCbu+8RiGk3USaHV5sHLrUQyp/D6zAbAkqJEIIFi2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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b2af6d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gprosqFGHlJHZ5hCHW2mOBVbOhffskDeGxY3vxtVLE0iEKUhKLNoAr74VDxck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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3b2208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ax5+OkYyWzms60HMnoLaOvF4k25iE9yEv5HXoqIB3F8JZGTwKSUlZ8fInuPO1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\nwp/wnwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b3c9cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from neupy import algorithms\n",
"\n",
"sofm = algorithms.SOFM(\n",
" n_inputs=2,\n",
" features_grid=(2, n),\n",
" weight=weight,\n",
" \n",
" # With large number of training samples it's safer\n",
" # to use small step (learning rate)\n",
" step=0.05,\n",
" \n",
" # Learning radis large for first 10 iterations, after that we\n",
" # assume that neurons found good positions on the text and we just\n",
" # need to move them a bit independentl in order to cover text better\n",
" learning_radius=10,\n",
" \n",
" # after 10 iteration learning radius would be 0\n",
" reduce_radius_after=1,\n",
" \n",
" # slowly decrease step size\n",
" reduce_step_after=10,\n",
")\n",
"\n",
"for iteration in range(1, 31):\n",
" sofm.train(data, epochs=1)\n",
" \n",
" if iteration in (1, 3, 5, 10, 15, 30):\n",
" plt.title('Training iteration #{}'.format(iteration))\n",
" plt.scatter(*sofm.weight, color=blue)\n",
"\n",
" plt.xlim(-60, 600)\n",
" plt.ylim(0, 220)\n",
"\n",
" saveas('sofm-training-iteration-{}'.format(iteration))\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-12-17T17:07:37.722624Z",
"start_time": "2017-12-17T18:07:28.357863+01:00"
},
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"data": {
"image/png": 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//wd8/HEHzp69TMmShXn6pwMIhXjfZaiZDTs77V8GG3a6lGc2AJ4+fQaQ7DRS\nsD7RsLf/Y89GiRKF8C9bHIAsnplxdXVGZ6fFaDTh4KDjZWQ0l3/fy9G5c5P/eTzvA7PZTONG/ahZ\nowuBgfdxcnKkfPni5PXNAcCK5cm/+AGiomNQq1V81LAa7Ts0wtvbkwH9JzNxgqS9FUKIf8pkMqPR\n/vHcccH8DaxaaZ3JL1w4X5K2sbHx5M5tPc+oSpUyREfHUrpMUcD6B3nRon48e+0Q1vTEYDCkGGi8\nbsyYPiQkGHB0dKBb19GYzWZy5fLGZDJz9NhaGjSoypYt+3FwsCNg+gqiomLw9MrMnLmjOXLkB7y8\nMvPra2nyhcgoMlSwYW+vS5ZN43U6O12yJzmvvDpx1NHRMVldgt6Avb0OgFq1KvDFkkmcPHGeqlU6\n0aP7OHr3nkj/fp9x+3YQwcFPGTlyJqM/mcPOnd/StVvztzCy9M9gsOZzDw5+Qvv2w7l82Zpzfdy4\nfknatWhRh42bZjF58hAsFgsPHj75PS2uQvbsnmnQcyGESL+MJiNabdIZ5A0b9hIR8RL/skmzJr18\nGU327F4AFC9eiEePntoSrzi7OOKbNwfBwU/eTcffMVdXZ8r4F8XOTsuA/pOJjLSeJdK+QyPs7XUc\nPnyKenV70bRpbX6++CvffHMajUbF+nUBPHz4hCmTl+Drm4NDB0+m7UCESAMZKtjQarV/GWzY6TQk\nJqYcbDz//WmNi6tzsjq9Xo+dnY62bRsyecpgvvrqEJMmLUrW7s7th+TMmc32euGCjWg0Gnr2bPlv\nh/JeqlmrAtmyZWHBgvEUL1GQFy+iqPhhSfbt/yMTyLDh3cmXL6ctH/qHH5akfPnixMXFM2HiAEqW\nLJRGvRdCiPTHaPxjGdXrfjhziQ8/LJ2k7PmzSNu+g9x5fIiIiESj0WAymShY0BcvLw9u3br/Tvr9\nrs2e8wmKojB9+gp+++2erVytVvHN4e+ZM3stk6cMQqtVM2rUTACWLZ+CWqOmV88J1KxZHrVaneTM\nKIDZs0fxw9lt73QsQrxrGSrY0Om0thNPU6LV6d4YbLxag5rDxytZXbw+gWzZPBk0uBOLF23mi8Wb\nU7zHlSs3yZzZLck9t391iI6dMvZSKoD1G2ZgsVj4+eKvfH/yAt99d47IyCjMZjPffnPG1q5WzW68\neBFFaOgzunUby5QpSzh48CQ6nRaz2Zwu1woLIURaMRpNaP40swHw5ZcH8fR0x/G1tO5Pw57hnjkT\nAJkzu1LSASm/AAAgAElEQVS+fAkUxbqUOG/enLi4ONlmpd8nzs6OfPCBH7dvP+DQwe9t5Xnz5SRT\nJhcWLtxMpUqlqVatLKNHz8FgMBIwYzgFC+ahZ4/xZPP2YMrUIQBJfqN69mzJh5WsAV2TJjXf7aCE\neIcy1AZxrfZvgg3tm2c2XmnarDbVqpcjq5cHHlnccHV1wdPTHZVKxaSJC5M9tXjdpUs3sLPT0qp1\nPdtJ10uXbqNV6/oMGNCepUsz5tONU6e3oFarePw4HHd3V1RqNQUK5CFTJmeGDpnOxYvXbW0NBgPt\n2g3jm2/WsH59APHxehwdHbh16x69ek6UYEMIIf4Fo9FkS2DyuqCgEOLi9LRqXY+NG6zZkx49CqVK\nFX+yZvVArVZz5coNSpcuQkx0LH5+uVGrVVz55ea7HkKqi4mJ49LPv1K8RCGyZvWwbfDu3bs1jx49\nBcxMDxjG48fhfPJJL7Jly4JGoyEgYCU5cmRl7rwxADRp3N92zxEjutO8RR0Azp37hf4D2rNv3/F3\nPjYh3oUMNbOh1aqJj4u3vS5SJB+dOzdlesBwNm+ZTalShfmgaP6/vEeFCiUoV644mdxceBr6jNOn\nL7Jt2wE2bNjzl4EGwJy51g1lQ4Z05eDBFTRrXhuALZv30aZtwxQ3n2cEd+48wGBI5PLlX3ke8RIn\nJwcyZXLGZDKRkJB82dsno3phNpvZvGk/J46fJyEhgQIFfNl/YBnZs2dJgxEIIUT6ZDQa0WiSz2wA\nXLt6i9q1K9leB90PwcHBnqrVyhIXp+e3m9blRGaLmYIFfDEYElPtpPC0NmjQNIKCQliz9nNUKutv\ndblyxTl06AT79q9Ao9GgKHDz5l2CgkIIDg7F0cGeufPGoCgKw4fNICLiJQBTpg6hWfPaXL0aSHh4\nBBPGz8fJydH2N4EQ75sMNbPh6upC23Yf0aFjY+zt7TCbLcTGxhEeHkFQUAiBgUHUqVPpjbMM/580\nteMn9CNXLm9atBhEfJye4SO6M3x4N/r3b8/mTfswGo0MGtyF+fPW/z9GmD4N6P8ZR4+t46cL1zh6\n9Cze3p74FchDnz5tWL5iChcvXmfI4M8B+PrrpWTxdEevT6BDx0ao1dbTW01GE25urpQrX1IOTBJC\niH/ImGhC45w82ChUKC/PIyIpX6HE78lVDNy+/QCtVkPp0kUIDQ3n2bMXmExmXFyccXR0IDLy/U49\n3rfPRPYfWM78BeP4ctsBdDodbds2Iioqmm5dxxEREYlOp+G74xu4dOkGg4d0BmDbtoNcuHAVgIWL\nJlCqVCGGDJ7G/AXj+eKLzej1Bo58e4a+fdvK75d4L2WoYMNiMRMREcmmjfu4ePFairmuz529zKef\nDeTOnYccOfLDW3nfJk1q0qBBVUYMn0F4WAQAUyYvYUbACgYP6ULPXq0AaNGiLqtWfklMzJuXer2P\n9HoDLyOj+WzyID6bPAiwnsoeH6/HYrHYsp8A3A8KJrNHJtRqNdu/Osj6DXuJiY4D4PTpLdy9E5wm\nYxBCiPQoUyZnfHyyMnvOJ+TK5Y2HhxsODvZYLBZiY60rAbJmzcyDB6E8eWI9b8rPLw+/XL5JWPhz\nLBYzTk4OGI0m7t17lJZDSXV6vYH+/T5j3foZ5M6dHYCoqBi6dB5lO8SwRw/r73mpUkWIi4vnUXAo\nXyzejEql4tsjq9FoNEwYv4AZM0ei0ajZsf0bAGbNWsOxepVp3rwOe/YcTZsBCpFKMtS6nfv3HxEU\nFMLBgyffeKjO0aNn2bJlPxMnDaBAwTz/7/fs268doz7pxYb1uzh//mqSOoPByJzZa6lbpzuhoeGo\nVArTPh/+/37P9OjcucvExMTTpHF/Kn3YnurVOnPp0g3i4/W0bjXE1m7okACqVe3M6VMXad+hMYcP\nr+LgoZVs2jwLRaWQN1+ONByFEEKkLzlzeePi4kSWLO5cv3abJV9spU3roVSu1IFOnUYB8OBBqK29\n0WjC0zMzFy5c5WnoM1QqFWazBY1Gw507D9JqGO/MnTsPWTB/A56e7oSHP6dd22FJTkvv3KUpFgv8\ndvMuoNCv32QA9u1fhqOjA+fPX2F6wHDCw18kOUS4foMqmExmRo7q8a6HJESqy1AzG48fh5E9e9a/\nbbds6Tby58vF8uWTadF8oC2f9r/RsmVdOndphqenOwDdurfio0Y1ufjTdfbsOWo72KdSpdJMnjII\nk8nMkMGfJ9kMnZH4FfDF2dmBHTsXodWqbWtiz5z5OVnbwoXzUqWqP7dvB7F27S78/Hxp0rgGiqKg\nepUTVwghxN/67rtzlCtXnO7dxiary5bVA7Mp6R4MvT4BZ2dHzpz5GZ1Oi0qlsp0ofuXKb++q22lq\n165v8S9blLFj5iUpHzS4ExaLhe3bD9G27Uf07DEOg8HA9OnDcXd3Ra834O9fjIkTFxJ0P4RNm2cx\na/YoypUrjkqlWGfstx9Oo1EJkXoyVLBx/94jihUr+I/ajhgxk6+2z2fjppk0azrwH2U5KlIkP506\nN6ZChZKo1WpOnbrIgvnref48kgIF8tCiRV3KlitG/QZVMBpNqFQKKpWa746dZfLkJRk6k1J0dCyx\nsfHMnrWax4/DCAl5ypq103kRkXQN8Acf+LFi5RQSEgwkGozUqlmRYsUL4p45E316T5TTWYUQ4l+I\njorFzk6XYl0Wz8wYX3v6DtYN5Wazmbg4vS274+7dRxgzpg93bgeldnf/M/4caHh7e9KmTUM2b95P\np06NWbRwE4GBQXTs2Ihq1ctiscDZs5eZ/NkiXFycmb9gLIqi4OubgwMHTtKsWS2WLd3G5s370mhE\nQqSeDBVs/PbbPTp0bPyP23ftMpqv9y1j+YrJ9Ok98W/bL1k6CZ1OS0xMLF9+eYjNm762fRkHBgYx\nY8ZKwHoS6ZdfzcPV1YX589axa9eR/21A7xFf3xwkJCRQuEg+ChfJh8ViQa1WUb1GOdvnBnDvnnWa\n/sCBk+TM6Y1fgTxkzepBXFw8UVGxadV9IYRIl15GxaDTJT/UDyBLFncMhsQkZXZ2uiQPxiwWCxq1\n9U+JvPlyExz8NPU6+x82b94Ynjx+SqdOjTl//grbtx/mk9G9adrUen5Gv76fcv16IEOHdaVly7qE\nhj6jf7/PMBgSWbVqKnv3HpNAQ7y3MlSwcfXqLbRaze9rTP9+FkGvN9Cj+zi2bpvL2HF9CJi+8i/b\n9+0ziXXrA7h06QYtW9ala9dmPHr0lMOHTvHllwfQ6w3kyePD6jXTiHoZQ5vWQ4mJiXtbw0vXXF2d\nMZtN1KhRHuX3pVCurs7JfgTj4gwAbP/qEM7OTuTIkQ2fHF60alWfbV/O5ebNe/TuNeGd918IIdKj\nly+j0WpT/lMgs3smDAmGJGURES9tp4iDdQ9HGf+iAFy+9P4d6PdPtG5Tnxw5swGgKAqPHj3F2cWR\nhg2rADBsaADXrwdy5odtKIr1YD8vr8wsWjwBrVZDYGAQc2avTcshCJGqMlSwERkZjcViIX/+XAQG\nBr2xnaOjPaVLF6VEiUL4FcjNy5fRNGpUA3d3Vz4ZNeeN1wUGBhER8ZKoqBjq1e1JgQJ56NqtOR07\nNaZX71ZERcXg4uLM1au3GDRwaoZeNvVncXHxbNiwl21bD9jKqlb1t526+sqrs0i+2r4As9mC0Wgk\nIcFAfLweRVFwdXF6p/0WQoj07EXES9TqlM/ZcHfPRLw+6VlHvXpO4PA3q8ibLyf37gZjMCTi6+sD\nQFxcxnt4ljdvDoYM6QrAypVfoo83MHBQJ8qVK4ZGo+HkyQtcuHCVihVLAjB+3DxiYuKpVq0szVvU\n4eHDx/Tv96ntfiVLFeaLLyZy9uxlPhk1O03GJMTblqGCDbBubita1I/AwCBy5famrH8xihTJj6+v\nD15Zs+Dq6oRarcZoNPLyZQxPQ59x7txl6tWrzLVrgX97//37jtO6TQMCpq8kMDCI8ePmA1CiRCGW\nLJ1EdHQsHw+YnOK1M2eNRK1WM3LEzLc65vTAxcWJ2rUq4l+mKGqNGo1Gg729HVqtBmdnR9sMkNFo\nZtu2A7Rr9xEjhs+w5S5ftuxTtFotbdsOS8thCCFEuvLiRRRqdcqJKTO5ORP32kG4YE31+ujRU3r3\nbs3YMfPQ6xPw8MgM8N4e6PdXBg3qjKJYl13fufMQgL792pIzpzdxcXomTlgIwPAR3bl48Ro3b95j\nzdrpuLm5sHLlV7bT2T/4ID9jxvTFN681o6JnlsxpMyAhUkGGCzZ0Oh0jR/VIkl7OYrFgNluwWMyo\n1WquXQukX99Pk1xXubI/Gs3ff1zr1++mc5dmdOnSlI0bv7aVt2vfkNjYeBrU753idd26taBy5TJY\nLBZOnd7M9et32LPnCKdPXUSvN6R4zfsmm3cWzBYLJpMJo9GEi7MjFosFvT7puSNfLN6Ct7cn8xeM\nxWBItC21Wr16Z1p0Wwgh0q0XL17asv+9rkbN8lSp4p8kPesrX3/9HT17tgQgLk6Pm5tLqvfzv2rY\nsAAOf7OKVq3qM2PGSqpW9cfe3g6AqVOtiV+GDeuKt7cnbm4u7N7zBQDr1+22BRpLl31KiRKFuHs3\nGLPZwpEjZ6hd+8M0G5MQb1uGOmcD4OeL1/ntt3vs3n2UlSu3s2TJVhYu3Mi8eeuYOXM1RqOJYsUK\n2KY8XzEajTg6OPzt/Q0GIxazmb792vHlV/Np3Lg6RYrko0oVfyZNXJjiNdMDhtOrdyuMRhMB01cy\nbeoy7O20fPbZIPbsXfJWxv1fd/jQKYxGE8OGTmftml1cuHCFbN6eXLr0a7KnZYUK5aVSpTLExsYz\nc+Zq2rUdzp07D/H3/yCNei+EEOnTixcvk7yuXftD9u1fytSpQwgLe55i4o3tXx1Ep9NRsWJJYmPj\n3rgMK6PYtGkf9RtUIYtnZj6fbj0ra8mSrZw+ZU3dXqt2RSwWC7t2HsVkMrF/3wlWrdqBvb2OJUsn\nUaJEIUJCnmJvr+PevYdMnbIUlaJQo0b5tByWEG9NhpvZGDYs4C/rR47swdUrvzFz1ki6dhnD/fvW\nE1ETE404ONr9o/eYMXMVo0f35lFwKCNH9UKjURMS8jTZoX7lK5Rg1qyRWCwwauRs5sz9hBMnfrSl\nFJwxcwTOzo7Y2+ve+9mNrVsP0KBhVb49sgaTyURsrB6NRs2jR0kzm/Qf0I5OnZoSH68n7Olz2rVr\nQGJiXbRaNSVKFKRgwTzcuhWUNoMQQoh05tWBdE2b1qRnr9a4u2fizJmLBExfSf78uVi4aHyya4xG\nM7cD79OlazPbzIfZbHmn/f4v2bplPz17tmT37kWoVAojR8zk3LlfbPWPH4dz//5jWrSsi1qtpkpV\nf/wK5MbPLzdqtRqLBZydnciUyZmPGvahWLGCKCqFzyYP5MSJ82k4MiHejgw3s/F3FEVhx85vuXbt\nNqtWT8XZxRGAREPiP5rZAPjm8GlUKoVdu76lRvUumM1mdu6wprcdMbIHCxaO4/iJDcydOxqNRkPX\nLqPx8fEiPj7Blip3yNAuXLhwjejoOEaO7Jk6g/0P6dq1GdHRsVSr2pGqVTrRoH4v7t4Nxt3dNUm7\nmzfvAXDyxAXu3QvmyZNwXkZGYzZZUBQFCxn3B08IIf6tV0uoRo7qxbVrgTRo0IuxY+YRFRXDpUs3\nUBQVefPlTHbd1q0HKVrUD1dXFywWCxZLxv7uDQuLQK1WM3jw50kCDQAvr8yULFmQ8PDnNG7UF1dX\nZwoUyMOzZ5EkJBhQFLCz02I2m9m95wuWLf8UgyGR06eTH2orRHokwcafqFQqEvQJfDxgMpGR0Wze\nPBuVSoUhMRF7h382s2E2m7l/P4TWbRqg0WiwWCy0blOP709tpkWLOnh5ebB0yVY2bdzLy5cxPHjw\nmPIVShASEgpYs1F4e3sSELCCNat3ULdeJXS693cSSqNRUaNmBY4e+YH27RszfkI/vlgyiZw5s1G5\ncpkkbU+euADA8uVfMmnSIsaOmcfy5dvwyeHFDz9cIvDWg7QYghBCpEtmsxmz2cyMgBWMHzefmOik\nGaWiomKoWbNCsuuOHTuL2WzGwcEOiwUsloy3Ofx1nTuNpEf3sfx88XqyOk/PzCiKwvXrgXTr3hKT\nyUS9uj1xd3dFp9Py8METatXsxsmT57Gz0zFm9Bzi4vQ8fPA4DUYixNsnwcafKIpiW7LUresYHB0d\nWL5iMoaEROzfcMpqSm7cuE358sU5cXIDarWauDg9U6csxWw2EzB9OTt3fkux4oVsXyZ+fnm4euUW\nAKNG9eT6tduEh0Wwa9cRVCoVe/YuffuD/Y9Yuy4AtVpFk6a16NCxMcWLW095Dwt7TkJCYrL2JpOJ\nBQvHsvfrJZw+s4X1G2ai0+nk9PB3bN78sW8MgufNG8PESf2Tlet0Kf8/lNIGVSHEu5GQYHjjvosH\nD0IoVapIinWXLt3AZDL/HrBk7JkNo9H8xiW8Nap3ZuXKr6hSxZ+WLesSFvacEiUKodNpuXv3Ie3b\nD8fLy53q1cuzdesBVCoVrq5OPH367N0OQohUIr/wf6IoCvG/Zz+KiYmjZ4/xFCzoS9ZsWbCz/2cz\nGwArV+zEYrFw4fw1EhONLF+2jWPHzpKYaCRbNk8A8uTx4erV3wDw8MhEgsHA7j2LyZPHhw0bdgPW\nw4JenR/xpj/U0rs+vcdjMpmYO2ctDer3om2bYQz8eAqnvr9IbGzyvO0qlRpPTw/OnPmZYUMDqFyp\nPU+ehJM9u2ca9P79V7CgL/b2SYMKR0d7ypcvzuIvJiVrX7JUYcpXKEH16sk3N544uYEfzm7jzA/b\nOPPDVk6f2crpM1s4fWYL276cl2pjEEK8WUJCIh5Z3FKs++XyTfLk8Umxbt3anXh5ZUajUcu5Ua9Z\nt346P5zdRpEi+QDrvpiNG76mYYM+7Nh+mMREI3PmjgZgyODPAdiydR4qlYp27RoyZeoQ1Go12X28\n0mwMQrxN7+/anP+RoljP4nglOPgJI4bPYMHCcdj9i5mNiIgXDB0ynQULx2GxWDCZrF/ECQkG/P0/\nIHv2rLi5uVChYikaflQNlUpF69YNOH/+ClqtlkaNa3LnbjCDBnVm7ZqdtGrdgNGjezF16vs3w6HX\nGzl9+mf6D2iPWq0mj68POXyyUrxEQVsKwdclJCSwcOFGDh38nkKF8tJ/QHvc3FyoX7/K357yLt5s\n3frp1kO84hNwdXXG0dEerVaDoiicPHnBdmYMQKZM1lSXhQrlZfEXExk0cCoAuXJ7s3ChdUOpIYVZ\nKYCnT58zaOBUtFoNOp2WUqUKM3hIF3LkyMrkyYP49NPFqTzS90vevD5ERERhZ6dDp9NRvnwxjh37\nkcjIqGRtq1Uvx/cnL6RBL//78uXLydy5Y9i+4xuePAkj5NFT9Ho9Dx+GvvGa4cO7U616WZo2GfAO\ne/r26fUJZHbPlGLdiZPn6dylaYp1167dJi5Oj5OTAxl8ywZgXRK8dNlk8uXLDcDKVVPZs/so8+dv\nsAVjCxZsBKBhw6pUrFiSyMhoAI4fP0fp0kVp3cp6kO3u3YtxcXFOg1EI8fZlqGBj2udDmDd3AxER\nkSnWe3tnQVEUqlUtx6ZNf5yRcfHidV68eImDg/2/er+LF6/zzeHTNGhYlbHj+uDi4oyDgx2NGtcg\n+vd1sS8jo7hz5wG+vjno2WM8ZrOZ5s3rMHRYV/z8chMc/IQ1a3YRHv6CUZ/0ZPHizSn+EZHe7d51\nhOrVy/HxwA5ERcXy4sVLoqNjk03tq1Qq7OzsGDy4M+PG9QXgZWQ0MTHxyTaTi38nX75cqNVqjh8/\nT1BQCA+CQrhz5wEbN82iTJmiSdq+etJ55NvT1KlbmWXLP2PsmLmsXRvA/XuP8CuQG0enpAkVvL2t\nM09Zs3rg5ORAYGAQAOMn9Ofq1VusWPEVixaNx9nZkRGvHWx59Ng6pk1dyvff/5SKo08fjh5bh6Oj\nPRaLNSHCm1SpWtb2xPSViZMGUL9+FXbsOMyC+RtTu6vpStVqZZkyZTBarYbevVsD2ALtyMhofr54\nneBHoaxaud12TZ48PjRtVguNRo2jo464uPSbMTAuLh63NwQbQfcfoygKLVrUZffuI8nqz5z+mbr1\nKqNSvfm/x4ygUKF8rFk7jejoWDp1GsmsWaOIi9PTvEUdmreow5Fvf+DcuUscPXoOgEOHTnHo0Cnb\n9WXLFidrVg9On96ColJQFIXGjWsya+bqVO23v/8HXExhn4kQb1OGCjZq1KhApUr+1KvbE4Mh+Q9D\n7z5t0esT6NmrFXv2HLWdWg0Q+uQZ0dHJ843/nWnTllG3XiWePAlnw4a9nP3hMmFhz//ymj17jjJ8\nRDe8vT1p0ti67n3fvuOMHtObbV/OfePBgOlZ+/aNCA4Opd1rJ4D3H9CeBg2qJGtrNptwcLBnzOg5\nnDlzCbA+YV+9Zto76+/7pmjR/KhUakJDn+Gbx4eJExbY6qKionF3z0SxYn5cu3YbAB+frJjNZjK5\nudKlyyesXz+TAwdX8DgkjEuXf8UjixuZM2dKkrbZzy83iYlGHjx4zPAR3enX91OKFS9I/vy56Nlj\nPL/9do8+fSaxZs3nHDq8koYN+gDWJVvTA4bz8OET5s9bbzs1PiO6dy+YQoV8SUw0Mnr0HK5dvcWh\nw6sJDn5C/ny5eB4RiYeHG5teO1C0QIE8zF8wFmcnRywW8PHJloYj+O85cnQtjo4OHNh/gqvXbjFu\nXF/GjJ5LXFw8CxaO5+HDJ9SsVQFFUVizeidmsxlPr8ysXTed69dvU7JkIWbNHsPAj6ek9VD+ZzEx\ncbi6Jn2K7u3tyciRPShXvjgAbdo2SDHYWLVqO/XqV87w+66io63nlYSEPOXhgyfs2nWEAQM6sHHj\n13Tp0pR69StTr35lmjarw8QJC3jxIulDw2fPXmA2m5n82WJiYuIZOarHv37A+XeOHlvHsWNnOXTw\nJFmzZqFvv/Zkz+5JTEwcFy9e48qVQLw8M1OnbkXathmWJOV+nTofMnZcH3Q6HZUrdXir/RJWLq7O\n5PXNQf36VShSNB93bj/Ezc2FwkXy4eBgz+PHYahUKlQqBR+frGz/6hsWLUofD44yVLBhNpnR6TQc\nPLSCNq2HJPufvUaN8qxatYM2beqzaPEEenQfZ6tzcnYk+NGbp9P/StUqnf71NaFPwsnuk5XWreuz\ncuV2ho/ojtFoxMXFiew+XjwOCfuf+vJfVbZcMb7cdoAmTWuRO7c32bN7Ubp0URwdk37Zms1mqlbp\nxPoNMwiYMYLLl29gMYOLqxOKolC7dgWOHfsxjUbx39ewYTVGjupBzRpdk5T36t2GoKBHDBsWwK5d\ni+nZqzVrVu8AIDoqFpVKzdBh3ejZw7pEyju7p23/0cMHT9i79yht2zakR48JLFk6gVu/3adsuWL4\n+xfjzBlr+sY8vj7ExyewcMEGFi2egLu7K3PmWNctvzpYbODATlgsFq5dvWXrm9lsJjQ0nOfPI5m/\nYCwmk5l+fSdx48bdVP+8/mtiY+O5dSsIgyGRBQvGcfLkBTQatTWgmLeenTu/5Yez23j8xPr9sGDB\nWMqWK87lyzfRqFVk8/a0JWAQVk5ODsTH61m0aCNxcXo++MCP6QHDuHYtELVaRaFCvoSEhAEWzGYz\nGo2KvXuXoNcncOL4j2TJ4k7JkoXSehj/L1Evo/HKmgWwPukePKQL+fLl5PHjMCZ/toTY2Dhmz/kE\nd3fXZL+bT56EYzKZ0Wgy9sF+ZrN1ZsfPLzfDR3Rn9aodDB3ala5dm2GxWDh37he2bdvPuLH92H9g\nBTExsdSv18t2feHCeUlMNDF12jA0GhWZMrliMhnfWv9UKhWOjvY0aVKTJk1qAnDrt/uYsmbm4MGT\ntG5dn+rVy5OQkICdnR3HvluP2WwhLi4OFxdnzGazNb28BQYO6sQXize/tb5lJCtXTSUqKgY3NxcK\nFPBFpVKS/P9jNpkxWyxoNGp0Oh0xMXHY6XQYjSZu3w7CZDRTrnwxFEXh1Kn0syQ2Qz2KUFQqvjl8\nGkdHe3buWpRk01vLlnVRqRS2btnPxwOm4OeXm/YdGtnqHR3t3+nypdathzJt6lI6d2nG9IDhNG9e\nh7lz1hEUFMLnnw/7+xukI3PnjUGjUdOhY2MGD+5ErVofkj17VuLj9bYDo/7swvkrqFQq8ufLjZ2d\njufPrUvjnj6NeJddTxd0Og0DBrTn8DerGDe+L3Z2OuztkwZxpUsXYftXhwkPi2DRwo10794cX98c\nALyMiuFxyFMKFsxLtmweAHh6ehAfp8cjs3Xphb9/MX766RoxMTHkzOnNqdMXURT4eGBH23u0adMQ\nFxdHLl26wbNnkWzZOge1WiE4OJTPp/8fe2cdFtXW9uF7T9MgKCYqdvexu1vsRuxAsQM7sLsLuzuO\njY0dx04UMQGRGHJqz/fHwOgcPN/7vufYnPu65vJy9tp71hr27FW/5/cMwsenM0WL5iMk5I2FREij\n0eLikg7vfpN4+zac+PgEVq6awtlzG5HJ0tQjDGtrFRKJgHe/SVy9cocaNcpx4rjJeKJly7p09mwG\nmHZiAXQ6U9yMd79J5MvvzvbtR7C1tSZ9hnTfrQ0/GgaDAa1Wx9Ztc1EoZKxduweJREKxYvkxGESq\nV+uMlZWSy5dvAybXIYBXr0Lp07cdWbO6IggC3bq3/J7N+EfExSXg6urMwYPLmL/Al4T4RLy6jKJV\nSx8CAi5y6dItIiKiGDny87vq799HpvmYDaVSgdFoZNzYhTRvXpt9+5cQF5dA27aDOHXqCiVLFmTo\n0O64ZnTBYDBga2ttcb5WqyMiIpKAgIsc2H+KGzfuIZPJzLm+/immRZsIThy/wKNHpnxVufO4YTTC\nmjW7iYqKYefOo9y88ZAnT17w+nUoGo2WyA8xaDRaXr8O4/nz10yftpK2bRvQqlXdL1KvtEahQrkp\nU6YI6pg4Xrx4BYDvqDncuvWIoKCXVK7cgcWLNxEfn0i7toPp0X0MotHIGv9dTBi/mLNnr5IunSO3\nbwmNR+UAACAASURBVD/i1q1H37k1/z1pqqcWBJg3bx2vXoUiCALrN8ygeIkCAHTo2MQsyXnzJoxV\nq3bQt287s85cqVQS+SHmH33+4MFdWLxkLPPm+7J16xwCTq7jwsWtHDy4jDVr/PD392PW7GHm8keO\nnMdnwBSqVCmDKIocOHCKMaPnkydPdho1qv6P6vIjMX7cQgAaN+pNrZpeNGvaF8/OI9i//yTx8Ymp\nyg8c1In2HRozftwiGjToSe/e49m27RAGg8jdu0++dfV/WLJly8jpMxs4eWoDHs1rc+LERRISkjAa\njZQo8XEldtLkAchkUvN3t2vXMe7de8r6DdNRqRRER6uRyU2rLrv3LObc+U3UqFEWaxsrbGytkckk\nuLtnZdPGAzg7O6JUKjh75gpSqRSd7uPKXFhoBIIgUKhQbp4FvcDBwY4e3cfi6zuXAgVy0ap1PcaP\nX0hcXCLyT5zXVColCoWc8eO9cXCwY+vW37l29Q4ymYwDB1dQpkzhb/SNfn/y53cnf353ypcvjkwu\nJyjoJX5+y0hMTCJrtox06mQK5E0JRk1INJldrPafgkIh52RAIHq9gfnzff/yM9IikyctRSaTsWfv\nEnbsmE9w8GumT1+BXq9HoZDh7OzIvr0BwEf75q5evtSs0YXp002mFB07Nvlu9f+nlChZCAcHO27c\nvE+D+qZnakpMVQqLF22mQsVSqQbJAC2a96dypbQtrSlfoTiCIGBlpSQqSo1CIadhgx68ehnK3j3H\nUSoVvHsXTp/e45k5YzUajaWUOyjoJW/fhrN40SZWrtzBQJ+pREfHMmvWsL/4xP+dZ89ekiNnVmbN\n9EcUjQQFvQTg6NHVODs7ceXyLXLnyc7du0+wsbFm//6T2DvY8ejhc7JmdWXwoGk8DXqBIAj06Zu2\n/95/hxSpoUQi4dr1e3TuNJL4+EQqVS5NwImLZM3qCkBUpBqZzCQ8KlQoF9bWKmxsrenarQV+Uwdh\nNMLQT+IafwbSzGRDpTJ1EHFxCfTpPR6pVMq7d+EsWjSWDh0a4+rqzPz5683lN6zfz/Pnr1m8xGTt\nqVTKiYiI+kd1qN+gKiVKFKRIkTy8CHnD5k0HSUzUoNXpiYxU454rGxUqlGTa9MHmm/LmzQcsXLDO\nnIfixYs3iKLIyFG/TtxGXFwCiYlJ1KlTyeJ9vc6QSgc8YEAnWrVqAJgCXgNOruXwkZXMmjX8m9X3\nZ2DwEC+2bJ2DQiHHz28ZtWt15dLFP7C2VhEZGUPpTwboE8YvBmDN2qlm3faihRuQSqVMnz6EiIgo\nbG1tuHnzHk+fhjB0yEyCg1+j0WiRy2X4r5mGIAjkdM9K3XqVSUhIpF27RoiikXdvw8yfI5FKiFXH\nM3ZcXyKj1ISGvic4+DXPn73CYDAQExPH6VNX0On0yOUfFZ4ajRaj0UjFSsWxsbGiXr0q5HTPxqHf\nz2JlpWT+gtF06vTzDvT+F6Kj1bx6+Y5Zs4dTqlRB9u45AUBkZAynTl1h8KDpiIaPFqTZsmUCIHv2\nLKjVcYwc2RupVPJZl7e0TGKShjZtBuLkZE9iYhKdOg5HIpjsXNetmw5AcPBrAMqVM8UwjBnbh4YN\nqyVLT7QoFHJzP/Oz8fp1KA8eBDFh/GLU6rjPlgkIuIg6JpbBQ7y+ce1+Dt68DsdgEBk9pg8Gg0hQ\n0EvzLtgffzxEo9Hi4GCLR/M6dOrcJJW7ZebMGShTpghnzm4k8MIWLlzcipOTPUWLfjmJnkajIU+e\n7CxeMhaJRGDRwo1UrdIR31HzEEWRCRMH4OzswMWLN3Bysufa1Ts4OdlTrHh+Ll++TdZsGVm9egrR\n0bE8ffpvAt3/lUKFciGKRlat2k7fvu1wdXXGf/UuGjasyrlz11CplNjaWiNIBBQKGceO+7NylSkW\ntUWLOnh5NUcikZCYmERCQtJ3bs3/RpqZbKRz/ughHhWlZsrkpWTNmpFTJy/Sp2874uMTeR9uKcHp\n7z0ZZ2dHBg3ugkwm/Y+B3f+JtWv3kJCQRERENJUrl6ZJ0+osXbIZV1dnduw4wlS/5ej1ekqXLsKp\n0+vp0sUDgB07jrF27V6GDevKuvXT0OsNCILw2RWmnxWtVk+fvu3YuGkmO3ct4ODBZXTv0TJV0OLK\nldsB6NbVl5EjZrNg/np2bD/Khw/RFqvoaZWOHZtw7Lg/jRpV4/btR7x/H8XRI+cB6NW7LXfvPuH1\na5MkKgVRFAkKCsFoNLJp8yxkMglFi+YnMVFD6TJFyJDB5B719GkITk72XL16h8WLNmFtbbK7TJ/e\niehoNd7eHejbtx16vYHGTWoQHaW2yE1jZ2fDhYs3yZo1IyVKFLTorJ49e8W9u6Y4DaPRiL29DQCO\njraoVEoEQUAikTJo0FTSp09H+vROHDp0BolEQmDgDXr3aceZsxt/eXmQo6M9y5ZvY/nyrQiCQEDA\nRQCcnOwJCXlD5SqlMfJRz5I9e2YAhg+bwYTxi/itbFEEQeD3g2e+R/V/OCQSCVKplEaNqhMXm0BC\nQhIrkx2nMmdOj1KpJGu2TBY5JBwd7TAajRQsmJshQ70oV66YWca5bPnE79KOf0qmTOnNk6n/jxUr\nd1CrVvm/TOaZlsmQIR0ajZYB/aeQPr1TqtwkMpmMvHlzUiC/u3nV+lMuX76FXm9gtO88OnceQf16\n3dBqdaxbu+eL1XHP7hMYjUaOHD7HkycvmD1nBJkzZ+DcuWtUrdKJ2Ng4JBIJc+aMQhAEhg3vBkBc\nbDzlyxdnyZJxnDp1mYcPn/3r/vg3KF68IPHxCWxYv5/g4DcsWTqekycvIZVK2bFzPhqNlmbNajFs\nWDdAYM/uY9Sv14OKFdqZY2ZCQ99zMuDS927K/0yamWw4OdpbdBgnTlwkMPAGFSuV4sWLN1hbq8yr\ngCmo1XH4TVlGixZ1kndC3v+jOgQGXsfaWkXbNoNYMH8DGTI4M2RoVwDmzR/F6zehyGQyPJr1QyqV\n0q17S/LmywGA/+qdJCRoyJMnB56dRxIXl/CX3uc/I9rkLeUXL95y7dpdDh06y82bDyxyngAkJWkx\nGERs7Wy4dOkWBw+eYd26PVy6dOuXtAT+X1i2fAJ9+rbj5s0H1KnthYODHY8fmYKoHR3tyJ07O4sX\nbSIpSZMqSPjggdMAKBRyVvtPpVjx/Lx9G86qVTupUKEEKpWShw+emyd/V67cQSKRoNPpcHCwo2OH\nYVSv5klioob4+EQcHGyJi483yxABMmZ0wcbGiqtX7pAxY3pu3nhgPqbT6VEqlYwZ04eSJQuSI4cp\nXmTMWFP+ggMHTqFUKrn1x2O6eA5Dq9UzZ+4IRNHI6VNXMBqNvH8fyb59S5j5BWUHPxKZM7sil8u4\nfu0uomjaEUxxzHNwsKNr1xa0b9/QbBctk0lQKhVoNFqy58jKlSt3zM/Ap09ffK9m/FCkfB/16lVi\n/gJfFAo5YaGmeJfChfMikQh08RyZ7ABj6i51Oj1arY62bQZRo7onz56F8Pp1GDqdnrx5c3yvpvwj\nnJwc/ivDhQP7T6LT6VjtP/Ub1Ornok3bBlhbq+jYqSmXLv1BTEysxXFRFJkwfhFDh84kJiaWxETL\nvm3F8u3IZFI6dmrCjBlDOXR4FQqFnFWrdn6xOv7xx0Nu335MiRIFOX36MiqVkm3b55rr5+U1ilMn\nL1G3Tjd69xpHpkwZ0OsN1K3bncgPMSQmarh44Q/KlStG5syuX6xeaYXOnk2xsbFCIpHg3W8S6dM7\nsXXbXF6+fMe7t+9RKhX07tOWt2/DqFa1AytW7CAhIYHV/lPMfa+zs9Nfpm/4kUkzkw1HR3tzYr0U\nfEfNQ6PRERebwMOHz1m+fEIq2c6JExfNHtTv3/8zGdXLkHcAHDvuzwCfTsTGJlC5Ugf8/JaTlKRh\n1aopiKJI8eIFePMmjIiIKFavnkKZ34oA0KK5N0lJGnx8OvPy5Rvatm34j+rzIxEaFsHt248YO2Y+\nM2esZvnybdy69SiVrhVMsTd+foNYt3568msa9etXxsXF6TvU/Pvj7OzIvv1LyJs3B7Gx8bx/H4le\nL5IliyuBgTdQKGRMnDSA6Gg19+8HkT17ZqRSy/v8wIGTKJUKnjwJJkeOLJQpU4SnT16wft1egoPf\noFDIefz4BQqF3HxOTLRJl5yYmERUlBpRFPnwIRqVSsnTpyGkT+9M1qwZmT17BCtWmmxBXZydmDp1\nBYKAxU5h9uyZKV2mMBUqluTt23Bu3LgPwJHD59BqdcyYvgq9Xs+q1ZN48yaCunW8kqVARoYO68qh\nQ2cIPG9yvcqY0eUrf+PfhypVSgHw+6EVNGlS3fz9Zcli6vQ7tB/K27fhnDxpcmPzaF4HvV6PUqkw\nxxOk2AY/fhL8rav/Q9Ov32QKFMiFTCY1m1KsWLED0SDy/PkrjEajeZeomUdtlEoF+/YvYfuO+WTO\n7ErJkgVZumQLAA0aVvtezfjbWFkpuXnz/l8ed3Z2ZPz4fpw9twmVSkX27Jn+smxaZevWQ2i1Wlxd\nnSlfvoRFf9S0WU3kctNzeMfO+eTNmyOVjCpFpm1nZ8PNm/fZvv0wwBffRVq8eCM53bPSvXsrjh41\n5fmYPmMIALHqBMaOXUhcXAJ37z6lUcPeNG7UGwClSkFMjJpx4/uxf99JDAY9Xbu1+KJ1+5VxcrJH\npVJhMIjs2WtKXHvhwh/Y2FjRv/8UOnYcRnj4BzQaLV08R6HXizRvXovDR1aTNWtG2rYZzID+U5DL\nZRQt9vM5CqaxyYals5Eoinj3m0Shwnk4c/oySpWCGTOHpjp3+rTlAF/E+UatjkOr1REZGYOdnTVe\nXh4cOXyOmjW6MHPGaiQSCRMmeqPT6bh3L4iwsA/Mn+/Lxk0zqVSpFLt3Had8heIUKJDnl7IatLOz\nISlJg7W1yuJl/IzFicEgkpio4e3bcN69C+fdu/ckJWlSTSbTAiNH9WDvviWoVEr++OMhOp0eD49a\nHDm6CqVSwYiRPTl9ZiOlSxdGk6QhW7ZMZMzogiiKlC9f3HwdrVaPwWCgZMnCnDx5CZVKae4s+3uP\nx2AQmTptIEajkdy53QBTQKPBYOD+/SDzdeQyKY6OdqxcsR2NRsOxY4GU+a0whQvnYf26veTK7UaJ\nEgXQ6fSc+SSTtUqlJCgohAb1e6DT6c1WuFqdDqlUwv4DS1Eo5Li5ZTbXt0/vcSgUcmQyGcePX6BV\n63ocPnSOXLncyJM3+1f/7r81O3YcBWDv3gCyZctk3jVq3Lg6sbHxODnZkzlzBrZt/R2A/v07IZfL\n0ev1BCVL1lJWW/8sGU2rpKwW3r71kMaNTElCX7wwyYmePg1GIpUwY+ZQBEGgd5+2ABw+dBaA06ev\ncOvWA7Nr3o4dRwAYOvTnimlIkfukLIaloFAo8OranL37FnPg4DLq1K1EUpKGEcNnUbVKp+9R1R+a\n0HfhyGQyOrQfyhr/Pej1H8cbFy6YzGf8/JZTsUI7li3blmrXPsV1qmOHYUybupLFizaj0Wjx8Kjz\nRev58MFzYmLUvHkdxvLl21Gr46hcuTT161dJVTYqKga1Oo7iJQpga2uNSqmki+dI1q3fS0JCEt26\n/bwObN+ayVMGEhYWYe7j9u5bjLt7Nv64+YCI96bnsUczb2rW6GI+p2evttjYWKHRaClXrhj9vDsQ\n+u493v0mf6dW/H3SzGTDzS3jZzPuBge/ZuWK7fTu045pU1dQvnxxswd1CklJuuR//3mG2FGj5uLk\nZM+gQdO4fz+Irt1asnadaUv6wIFTeHUZCUDWrBmxslKyc8dRkpI0REWpGTuuLx06NuZF8GuMRvGz\nA/GflRw5slC5cmlOBKw1vzp2bIKjY2pdaHS0mtOnL+M7ai6jRppep09fNQ9Q0xKNG9dAIhFIiE/E\nxcWR4OBXSCQSTp68zOXLt+jq5Uv1ap24cvk2Meo4Ro/uzYsXb3jzJozmLWpbXMtgENm54wh161bi\n1atQ8hcwxXVERyfQokV/smXLhMEgUqyYKWDxcrL98KexF/YOduj1Bi5duoWDgx27dh7lyOHzhIdH\n4u+/G5lMSvMWdQgN/ShJrFbtNyQSgZ49xgJgbW1l/luWLlUYqdTklHXsWCDv338cJN+9G4ROp0cq\nlbBw4Rg+fIimRs2yiKLImjVTGTu2z9f50r8ToihiMIicP3+d9+8j+f33MwC079AYOzsbFi8ZhyAI\nZjmMKBrYsf0wERHRhCd/b7lyuX2v6v+QFCyYCzBNOrRaU8xXyr8pwb3lyhVHrY5jxPDZAOzffxKj\nERo2rEb27FmwtbU1D9RfvnyLUqn4Ynal34JSpQqRmPgx2LRBw6qs3zCdU6fX0a1bK9KnT0d0dCyj\nfedRt043s2vjv1giVyiQSCScPrOB5i1qW8ioIt5HodPp8PXtzZmzG+nXrz02NlYW53t1aQ7AhYtb\nOXd+EydPrUMmk9LP+8u7Pnl6jsIte2b27l1MTEwc+/YGMHpMH2bOGkb+/O4WskGARw+fIYoiq1bv\nomOnJubzRNFIzZrlvnj9fjVq1ChLiRIFePXqHRKJhFYtfXj48DnZsmVk164jf3ne8+evuXvnCXfu\nPGGAT2fy53dnyE/mQpVCmplsVK5SGqVS8VmpzcaN+3n8OJiBAz3ZuGE/w4Z1I3OWDObjn5uk/F1u\n/fEQo9HIxo0zyZDBmUePnuPu7mZOXvfkSQhtWg9CLpdRtmxRrK2tzEFngYE3ePHiNR06DCPkxZsv\nWq/vTVhoBLt2HaNihXbm15o1e1IlkAKTvrhBgyosXz6RZcsnsGTpeGrXrkC65JwPaYmWLQYgiiIn\nT16mi+coBvT34/XrMFxcHBkyeAZPnrxAq9Vz5cod3NwyU7hIXmbOWI29vR0VKpS0uJZCIcfO3oax\nYxeQNasr1tZWZvnN+/BIhg6ZgUwmpUfP1jRpUoPz564hCALiJzuG1tYqBAEqVTZJfh48eIaNrTVx\ncfGIosijR8Hkz+/OveRM5ADjJ3gTF5dA3bqVcHFxwspKSUSyZHH/gVMYjUYmjF9IqVKFzZKhFKpV\n7UTDBqYVaUdHe54+DWHihCUIgoR69avgv8bPbFX6KyCVShg40BOVSklYmElG9ejRc65du8vECYvN\nskOZTIJcLmfz5t/59CmREsj8LyaKJSfjO3J0FScC1gLg4mIyE9Hr9bx8+Q6ZTMrwYTMtztPrdYSF\nfSApSYNcLsWIaWLS39skF5w7d9S3asI/Jn8Bd+LjE1mwcAxnz21ixIgeqNXx7Nh+BEGA338/Q8MG\nPS12Iv9MOmdH2rZt8A1r/eNx9sxVRFFk794A7OysUxm4REfHEhERyWjfeaxds9scb5WCwWAgKkpN\n61YDGTRoGrNn+aPV6ghNjiH6krwPj+TDh2iMRiNbNh80Z4kvV644q/39OB+4mf0HlprLJyVpCQ/7\nwLBhXSlfvgQTJyymbZtB3L/3FJ+Bnn/1Mf+SzKlTVwCTdfmRo6uZNXs448ctRKfTY2//+UD7bNky\nUbBgLtJncGLsmPns3HmEhIREXrx48y2r/sVIM5ON+/eD0OsNLFg4+rPHvftNwtrGiixZMxL07CUr\nPnEV+XMcxz/l6NFAjEYjPXqMob+3aTvs8JGV5uMfPkTTq+d49HoDDRtVRa83rbRFRsYgl8vx8KhN\nlqwZgY8rcz87EqnU3M4U9Ho9EknqCZXRaESvF0nSaMzyH/iyk8KfhXfv3jNt6gratW9Ix45NaOZR\ni7jYeCpVKmVRLiDgIlZWSt6+CeP27UcYkwNjUyRRPXu2xmg0UqlSKU6fuoKv7zwEAXr2am2+xvXr\n9wgKeoloEBk4yJPtO+YDULxEQXOZhg168OzZK6ZPN8kRd+1eSPXqv+Huno39B5aSLp0DCoWcS5f+\nMJ8jk0mRSqUMGuzF/gNLsbW1Jl++nABEfohGEASOn1iLlZUSUTSac0mkMGFiPwCuXb3Lls0HmTDR\nm82bDxB4/gb587vTtavHF/mufwT0egO5c7thY2NFeJhpECKTStBqdSiVckTRtNvZu087jEaYM3cE\nGVxdzJK5fy1vLTmW/CyuX68Ha9bsBkCtNg0CVSoZNjYqRNFIvT9JTORyOW5umcif37T7l7IDGxER\ng15v+Kmey3XrmuLdHB3tmDljNVWrdGTc2AW0TE7aNn/euv/3/G7dW3Hw4DL6D/hXWiUIAnXqVCQw\n8EaqyUS6dI6kT+/M5Ck+eHbxMC8wplCwUB5evXrHmzdh3Lh+n3v3grCyUpnHCF+aJo37EBMTh+/o\n3sTExDFzxipi1XEYjUaMRiODB/lZlD927AJgyqly4sRFevduS/4C7jh/4vT5L39NYmISGzfsZ9y4\nBeRK7g/1egNNm9W0KLdp8yyOHF3Ntu1zEUUjrq4ubN4ym0KF8vD8+X92jPtRSTOTDSdHB4KDX+Hm\nlskiM3gKSUlaRvvOo2bNcsTExGJtY8W06YMBU36AL4nflGWEhr5n27Z5HDvuj0ajRSqVsn3HfPIl\nu0/dv/+UXr3GkTlzBhwd7fGbOoiSJQuSKVN6Bg/pwr69AVSs0O6/chD5GbC2VpE9e2aqVC1jfuXO\n7YZSmXpwFBkZQ0DARQb6TMVnwBQG9J/CsWOBREb++jKqLVvnsHvPIov3jhw5T2xsPH36tsPbuwNO\n6RwQBIGRo3qay6SsaGu0Opyc7HF0sics7ANz5ozAf40fnl08WLJkCyqVkgE+nTh39hrbth1CKpWy\ne89C83U8O4+gQYOe1KjuSZPGfXjyJJjfD54yH4+OjqOrly/37j0hMTGJq1fvsGvXcXbvOsaJExd5\n/DgYURS5d+9j8sX34ZEcO3qeGtU9qVqlA3q9wRysKpOZAtIDAi5Sp3ZXHj16Ru8+bUmX7uNqkLOz\nabcyc5b0+E0dzO7dx8mRPTMVKpYAYOXKL+fm8r2RSiXMnbMWiURCtuT4lbz5clKxYklGjuqFlZXp\n95IliyuCAG/ehKPVann2zJSp9sH9X+N58aWIjlYjCAJqdRxbt5hiXRISTIlEhw3vhbOzExKJQLNm\ntXBx+bhzajTChg17Wb9uL7HqeAv9/eZNBxEEgQYNU2vgf0RevHjDrVsP8Ow8gkOHzgCweMk488r3\nX8mH27RpQMDJtXgmZ63/2Xz/vwaiaEQURapUKZNqEP7hQzQhIaYM3LdvPUKr1VkcL1GiAEWL5uPC\nxa0EXtjC1m1zEEXRvIP5NWjZoj9Pn4ZQoIA7w0d0587dxxgMerZtO8zTp68syq5caYrvWLhoNCdP\nraN1mwbs2nX0q9XtV8PKSkXffu1JiE+kefP++Pj4IZdLzQsWKbi5ZcLe3oZHj57TquUAWjTvj1Qq\nULRovlTSu5+JNGOWbe9gS2SkmtOnd9GnTzuOHwu0kBTkzJmVCRP7o9cbKF26CDdv3E8OmqrMzZsP\n/p8r/z327D5BP+8OLFq0iW1bD1GjRjkmT/Fh5aopVK3SEYAnj19w5fJtihXPT9asrtjZ2SCKRpo1\n7WshL8qY0eWrbLV+S2xsrChbthilSn1MNieTST+7q+Tk5EDNmuXMkhqj0UiBArl+qbwjn6N+/cpm\nR5wFC8fgM2CK+ViL5v05fmINo33nceXKHWrXrsD4Cd5s33bY7J/fu9c4li2fyJQpA1Gr40hMTCRH\njqyEJndmBw+eIj4ugeEjutOwYTWsrVXJuxQrPlufDx+i8ery+UzUvXuN/6/b5ZTOgVq1K7Bo0Wa0\nWi0Gg8Gsm4+IiCQpSYNoMHL8xBrkclny3zu3OejSs/NI8ubLwdq10zAawcOjFkajkYSEJGxtrTkf\nuJnIyGgaN/q5YzgKFsyLIAg4Ojmg1xvM/vshIW95FhTC48cv6Jw88As4cZFy5YrjO2ouhw6v4Gmy\n+5Rc/uuYSnwJ1Op4AJYsGWeWoFlZKYiLS+DK5VtUr/4bHTsOY+fOBaSszZUvXwxBgEIF8wAgGkUy\nZfoou125cjueXZoxZEhXDh86920b9DdIiE9Ep/sohfTs4oFbtkwsWrSR3n3apSrfoGFV+vfviI2N\nFZcv36ZChRLs2H6EZh61vmW1fziGDPVCIpEwoP8UGjaqRtOmlivWzs6OZMiQDt/RvYmPT0zlRhUV\nGcPp01fYtu0wSpWCmTOHEf4VJxpgWmSdMnkp6zfMwM9vOSNH9kQmk5qThaYuryFfPne2bTvEksVb\nEEWRdu0akSWLK2/ehH32nH+BceP6kZSk4erVu8yZO5Ib1+8zY8ZKpFIpo0bOsSi7edNBWrSsg52d\nDfv2L+XVq7dkypQBjUbLtm2Hv1ML/jlpZmfDztaa6Cg169ft5e3bcOYv+DhIatK0Jhs2ziA4+DU1\na3TGx2cKRYrmJS4ugVG+vUif/ssnCtuy5XdCQt5SqVIpBg3uwqTJAzh//joSiSlTeAqDB0+nZo0u\neHYeSYP6PalapaN5omFtrWLSZB9271nEli1z/uqjfgqiomJYv34f1at1Nr8WL9qcaisaPurRnZzs\nSZfOAWdnRxQK+ReXu/1IlC1blNFj+nDr1iPU6ngKFcrF8RP+5uC8hIQk7t19Sp++pmDCs2evo1bH\nsXHTR6353btPmTN7LcVLFCA8/AMJ8Ulcv3aPXj3HJXupV6ZT56YIgkBUVAx163Sjc6fhX301XKfT\nYWNjRcDJtYwb1w9RFC0GxXK5nMZNqnPu7DV69zIFQY+f4G1xjSePX1C1SiemTF6GVCrl2bNXyGRS\nHj54hk6nw9HRgcALW3B1df6qbfmaNG1WDa1WR9euzS0C7GUyGYlJGmRymVlSGBWlRiqVIJNJkMlk\n5tXpfxNxfR4jYGtnSiSZlGRaoVeplIiiyNs34YiiaL53JBLTvWlrZ4OtnQ1SqYw/KzjDQiNQqZQ/\nhcREbzCYc7NkzpKB7t1bsnTpFpxdnIj/5PlbpWoZDhxcxqhRPbl44Q/atBlC2bJFOXToDKdOXfql\n3BH/DvnyuSMIsHnLbNq3b5TqntDr9cybt56JExcTEvI6texXgBh1HG/ehPH82StsbKy5fOXWgepv\n4gAAIABJREFUV6/3mLF9MBgMjB7dm6CgF8TEqNmxcz7HT/hzPnAzjZtUN5cd0N8k6Vq7dg9eXVsQ\ncNIU5/Sr5jb6Enh7d6BuvUosmL+BUSPn0Kf3eHLndmPHzgUkJiZx7tx1i/K7dx/Hxsaa3r3G4Tdl\nGdmzZ+HJk2BqVPfk94Onv1Mr/jm/7ujsT1hZWxGZ7HDjM2AKOXJkoU2bBvhNHcTw4d1Yt24ffXpP\nQK8XuXH9Ps09vElISEIikTDrK/2QFi9aT4kSBfDwqMX4cQsZOWIOQUEhjBjRnbbt/jrYztpaxcSJ\n/Tl23J+SJQtiNIJb9kwUKZLnq9TzR0On0zN/3nq6dxtDt66j6dZ1NAf2n/plk/rVrl2RWbNHcPjw\nWbZu+R0rKyXNmvbDxsaaYcO7m8stWrSRPHmys9p/MidPrUMuN21cjh7T21xm794TxKrjcXV1IZtb\nJm7+8QAnJ3skEoHBg7sQHaWmUcNetG0z+JvJImJjEzhw4BRz566lXPliWFmpqFmzgvn47dsPiYqK\nITQsAv81UwkNjfjswEav1xN4wfTgzps3BzKZjAIFc7Fp40EEwTQA371nEWvW+KU692egWrWy7Nxx\nBEEQkEo/bkpnzepKo0bV6dmzNQ4OdgBkz5EFmUzG2XObsbW1pnKV0gBEx8R9l7r/qKSYSnj3m8RA\nH9N9ERtruu8bNa6OlZWKnbsWIAgC1auXBz7amMbExHLv3hMEwcjrV6EW1x0y1OQYM3mKzzdpxz9B\nFEXzZGPRorE8e/aKrVsPkSWLKzExcZQqXYhduxcydeog7t9/Sv16PZg8eSnLl4/n1atQpk1dSXh4\n5C+92PPfsG9fAElJGqpW6UBoaARRkR/7o/wF3FEqFfTr157evduSMWP6VNa3Tk4OeHk158LFrVy4\nuBV7extUKtWfP+aLkyuXGwaDSKuWPly/fh97ezuCg19jZaVCEATKlClqLvvqVRgGg4EjR1bRsWNj\n9u8/iVeXkbi5ZcLPb+BXr+vPSKXKJdHrDQwf0Z1Jk314/DgYD4/+gMDZs9csyg4e4sWiRWMA2Ld/\nGXnyZicuLoGAE5e/Q82/LGnm6WBlpTR7y4eFfWDD+n0M8OlExQol8faejP9qS113VJSa5h7eXL16\nB/vkDvxLc/HiHXQ6PTExsdy5+4St2+aSK5cbISFv6du3A0eOrmLS5AEW58yf78uJgLWULlOYadNW\n0rqVD4IAV67cZvackV8kF8iPjkIh53mwpZ5Ur9cj+QUDxK2tVUyY6I1er2eq3wru33+KXC6jadMa\nJCVpsLGxMid9Ssl3kSuXG6NGzqF2ra4MGzqT+vWrULHiR+ep5s29sbZWYWdnQ8WKJTj4+3L0egPH\njp6nR4+xn3UA+5ooFHJi1fHs2xtAg/o9EUWRi58EkC9bugUnJwc8Ozdjzuy1bNp0EKVSgf+a1FmM\na9UyDQjj4xPQ6fSEhLyhi5cHK1dsJyIiCkEQcPoJXcuKFDHpde/efYrRaKR9O1MSriZNayKKRvr2\nmcDdu0/NsRkPHzzDYDBQsUI7EhOTzLkhbKz/DRD/lHTpHMwW4jZ/kmG+fx9JXFwCN2/eRxAEVCq5\nxfEiRfJQo0Y5bGyssUvO15FC8PPXiKJI0aI/fvItg0FEIhEY4NMJFxcnBvQ3yTPz589JpszpWbBg\nNG9eh9G0SV9GjZzL9h3zkgfDtma76g8fTO5xaXnCoVIpUamUrF03HSsrFek+2dV69PA5oaHvef06\nlPv3gnBwsEMut7yfYmPj2bPnOK1a+dDcwxu93sCTxy++er2HD5uFXC5j0OAudOjQGI1GS/bsmVm3\nbh9nzlw1x5GmkJSkJSEhierVOrNo4SbkcjmJCRqqVS+LTJZmlPn/FVmyuJItW2Z6dB+Dr+88fvut\nCMeOr2HBwlEkJCQyZfIyc1kbWxUtWtQhY6YMDPTxY/OmAzRtWhNbW2saNvo54r/+P9LMk0GhkBP+\n/qP+cevWQwB4dR3FrT8e/uV5gwdN58QJkwvD14gJaNSoFw4OduzbtwRRFPFo1o/+3pO5e/cx9va2\nVK9u6WGdkrhu/76THD50lsKF82IwiIwYPguATZt/TjmVg4M9bdvWZ9v2eeZXt+4tUgVE2dpaIwgC\n/v5+nD6zgRMBazl0eAWt2zTA8ReUiCxdNoGoKDVyuZyOHZtQubJphbqLVwtUKiUSiYRduz4GjA8e\nNA25XE5IyFsALl26xdGjgcyYOZRChXMDJslVShySg4M9w4bOpHq1zkyatJTvgUIhR63+uOIukUgI\nDLxh/v+DB88xGo2cD7xOxkwuDBnShUOHzpAvXw4CL2yxuNa+vSdp3Wogdet0R6PR4uaWmbNnr9K+\nQ2NcXV2IiIj6KrLIr0337i0JDn5Nt+4tefjwOVqtFoVCwZAhXly5cpunT0PIkN6Ju3cfA6CyUn6S\nh0fAaDQ9N+L/DeK1oE7dSgiCwJGjq9i+fb7FsfTp0/Ho4XOmTV2JKIocOWKKvyhdujBGo5G+fScx\nePB0AgIumXcRP+Xw4XMIgkCjxtW+RVP+NqLBgI2NFa1b12fGjFWo1XEoFAoyZcqAKBpp3XogPj5+\nfPgQTd68OczOWzKZjB0751OrVgVzThJnlx9fNva1KF++OFqtjpcv3yGRCKkyf587dw1392yUK1+M\niPdRqZwWRdHI+/eRvH0TTljYB7TJZh5fm0uXTFKtlAUplUpJ8+b9eRnyhmLF8pM12fkyhQXzN6BQ\nyLG2VjF/gS8rVk7i0ePnGAwGKlUqmer6aZnNW2YjiiJKpZJzZ69Rr253du08RtGi+YlVW+4y16xZ\nEa1WR0jIG+bOG4VGozObVpz4d2fj50Emk/Hu7Uedc8lShdDp9AT/F1ZiE8YvpmKFdp+NH/inxMUm\nEBBwCYC7d58wYkR39h9YSoYMzgScuEhkpKUvvmtGZ548CaGzZzNWrJzEnLkjkEol6PUiDx4EkS1b\nRkqVKvTF6/m1MRgMvH8fxZ07j8yvsLAPqbKCx8UlIIoiCxduYOKExSxftpU9ewJ49y7sl8sgvnvP\nYnLndqNbV18WLdxI7z5t8RnYmd9/P03tWl4kJCSxZ88JnNI50K9fBwCuXLnD8+evzfKNPn3bUbt2\nBQRBoGHDauZrDx0yndWrdtKm9UBzZ/O9kMmkxCQ/eFM617dvwi3KLF+2jSpVytC+fWMmTlhMfJzJ\nMUiv13Pk6CqLsimBio6OdgiCQLVqZdHp9Ny4fo906RwRRZGcObOyb/9is5POj07xEgU4cOA0efJk\nN08Ue/ZshUwm5bffinIiYC2uGV3M1rb16lVCKpVyPnALVlZKatepBMCrP8l90joR76MQRZFt2w5z\n4kSghf12gQLu5M7jRpUqpZFIJGYTjiFDuyIIAhs2zGDDhhnUqlXenIn8U6ZNNRkr+Pj82HkIDAYD\nbm6ZuXPniXkHbIqfDzExcdSu5WXxW/zUOr5Fc29u337M+Ane7Nu/FKPRSEZXl29e/x+F8uVLcPXK\nbWbP8mfXrmNm8wGA0mUK06pVfZ4/f8WePSdITExKFbPh4GBL9+6t2bV7IYsWj0WhkFGyVIFvUvd9\n+wKYMmUpNap3BmDHjvmMG98PiUQgLMzSfObYsXPI5XKOHvPH3T0r/fpOYkD/Kbx6FUq9+pW/SX1/\nFgRB4ENENMuWT2DnrgVUqVIaK2slGo2Wjp2GW5QdONATo9FIzx5jWLpkC926t6Brt5bMmuXPxg37\nvlMLvhxpZrIhkQi8fvOxoy1WLB9qdez/c8a3Y9LEJQwfNovGjatTomQhfEfNpVVLH/R60azBTiFz\n5gwcP34egHz5crJ4kWllt0OHRpQpU4RXr0LpP6DjN2/DPyUuLoGAgMtM9Vthfh0+dNYis20KsbEJ\n2NracObMVXbvPo7/6p2cPHmZ+PgvPxn8XigUMjJkMFm6FimSjx07jhAbm4BKpWTWzNWASRpYvfpv\nREXF0L5DI5YtnwDAmDHzyJMnO6fPbKB16/r4++9M5Vam14usTXYz+t7IZFKikm2LTfphQ6oyu3Yd\nRhAENJokypQpQqvW9Rgzej4PHgRhb2/LkiWp3a8OHTrD4MHTTDEeUilVqpZhz57jSKVSNm2eRfr0\nzqnyJ/yINGlSAzDSuHE1jEaTrAygcOG8PLgfRJXKHZg3bx0Gg4F5czcAIJPKUcfE0a2bL1qtzrwq\nn7Iq/S8mQkPfo9cbWL9uL6GhEcQlT2JTEEUjU/wGAabnDkCPHiZNdb++E2napC/37j3l6dOQz14/\nMjIGa2vVD21MULxEQWQyKYMHmWSJhQrlpkKFEowZPc+i3MhRPbG3t+XChZtotTpKlSrEaN95NGzQ\nk6dPXyAIAi1b1fseTfjuuLg4IpEIlCxViN8PraBz56Y4On7suwsXzo0gCOTIkQVPTw+yuWVCp7O0\nvk1K0nDhwg2uX7uHXCZDJpPhnjPbN6n/7FlrOHL4PFmzZQLg5s0HHD50DkdHe54/+7NkWQSMhIdH\n0KRxX27ffmSu/5/zO6Vl6tWrjCBAs2b9aNHcm1cv3zF12mA8PGqzePFmEv+0yyyVCkgkEo4eW0NS\nkpYtm3/HYBDZtzfgO7Xgy5ImJhspq05xsR8Ho7lz5+DtJzsd35sLF24SE6PmwIGThIdHsm79dOrV\nr2SxPS+RSFAqFfz2W1GMRiP16nZj+/ZDxMcn0qdve/z9dzFm9Dzy5MlBjhxZvmNrvi5arZa6dSp+\nJj7l14nZWL5iMomJGrZsPsj4Cd707t0WOztr1qzZg14volIpEASBoKCXXL58C41Ga5bNvAx5h06n\nQ6fTUbtWFzas38+HD9EUL/5tVsn+VyQSKTExpol/Tvesn/X1T0rSU7VKB6Kj42nYqBrLl22lRo1y\nFC6cl8mTllK8RH4OHba06J3qt4Irl+9ga2uFvYMtgwdNo1mzmiQkJCGKIhcCb2D7E/iWt2nbgJs3\nH5IrlxsPHpgyr0skEgoUdOfM2StkzpKBTp2acuniH8TFmXaIChXOzfUb93ny2DQIjE1eZc2WPJj4\nFxPCJ1KWrFkyEhv7qbRBYNjQmeYM9Vqt6b5M6UeWLpvAgYPLKFIk718mFB03zpSjZuzYvl+h9l+G\n+/efEhkZY/7dTZ8+hBvX71tYvrvnykbjxtWJiYll+LBZhIV9oGy5YgCo1XEMGzqT+PhE7t55/F3a\n8L2JjlZjNBrN94soGomK+pj3actmk2Xp8mXbGDjQD0EQUj3njEa4eOEm06evpHfv8Wi1OnOiyW/F\n7Nkj0Gi0lC1blEqVShITE0v2z4wltmw+iK2tyb2tfPniHDi4lLx5cyAIwg89sf6WjB7TG6PRSNmy\nRQkL+8DgwdOZO3cNoiiyZ/dxi7JVq5ZGJpNRr2439u8LYPCQLjTzqEV8fOJfXP3nI01MNpo0rQGY\nbP1SyJIlA8+fv/qrU74LcXGJtGhRF/81fhgMBhYv3mSR+EcURURRpEyZIgQG3jA/rGQyKUajkbVr\n9hAU9JLnz19ZWPv+DEgkEmxtrXBxcTK/7O1tPptB3NraimxumTl7bjOHDq9k/gJfChX6tZy48uXL\ngVKpIODkJU6fvkynzk3Zv++k2cigTt3KaDRaBvpMZarfCh49CjZnjwbYs+cESUla9HqRLFlcKVDA\nHTe3H3OgKZEI5pw32bJl+ku5ol4v0rJFfx49CqZ3n3ZUr1GOAQP8aNqsJjqdDgcHO5avmJDqvA7t\nh5lW/ef7IpVKsbJS4t1vMlHRatI5O+Ka8cftHG1trcmePYs50dzgQdNRKBRs2ToHmUxG374d2Llz\nAS4uTuz+pANzc8tE1aqlOXV6PXK5jOIl8gNYyIT+BWxtrZBKJXh28aBK1TJYW5ncfzJmdEEiEWjR\nsg42tpaOQCla/LZtBlOxQjtu336capUyhT9uPsBoNFK8xI850Qd4+fIdOp3pvujVqw32DraMGmUZ\n+7d69RQLY4InT16QL29OizIajRYXF6dvU+kfjEaNTGOMJUvHJxtu6C3y+nTq3ASjEXr2as28eaNQ\nKhWMHbvA4hoSiYTExI8TEIVCzqNHwd+mAYC9vTWurs7ExMTS33syvx86g7W1isyZM6SaQGzYuB87\nOxt27lrArNnDefz4BfXr9eDDhyi8vFp8szr/yOh0eiIj1cyZO5IjR1fTt287ihbNn2qRWyKRMCZ5\nMeLwkVVoNFqaNe2HtbXql8odliYmGynbUNOnDzW/ly6dA/fuPU1Vtnv3lp/V334LJBIpMpmUtm0G\n063raF6/Dk3l7hAbm4AgCFy5ctv8XnMPb5M1Y42y5MiRhUyZ0pM+fbqfaoXBwcGW1q3rs//AUvOr\ns6cHNjapf2zPn73i+rV7tGs3mIMHTmFvZ0PZskUttq1/ZsqXL44oGrl58wH+/lO5f8/kMrUlOVgM\nTN7dUqmEVaunsHjJOHLmzGKRiTTw/A2cnOwpW7YoW7bO4dWrUIvJyI9Gyipgxowu/9HCuFtXX0RR\nRK/X07VrcwoUyEUXz1HExSVQpEg+Bg/xsigfERHF27dhSKUS4uMTEUWRCRO9adCgKnq9gbDQr5s4\n65/g1bU5cXHxVK5cipiYWLz7d+T4CX8cHe3w7jeRihXa8ccfDwl58ZarV++azzMYRNav28/0aSvR\n6w28fmXS3X+aef1foHy5EkilUtq2bYBKpcCQ/BuxtjHFvlSoUIJdu0y7EyqVKQnbxEmmeKjZc4az\nb/9SCuR3p0jRvH/5GYGBNxAEgRYt6nzNpvxtYmPjUShMeYs6dmrCksVbLGyv58/3RalUMHLkHKKj\nTTuQ167exjVjeovrJCYm4ZRG7y/PLs14/DiYpk36AkYuXvjD4njXri14+zYULy9f5s1bB8CN6/ct\nyiiVciZO6s/585s5ecpU5lsmylOrEzh2LBBnZyfmzfelZcu6bN9+hKjIGDZvmW1RNmV3z8XFidat\nBzJs6Ezi4hI4GXCZKlXLfLM6/6ikqFD69ZtIrZpdOHbsPM08alO7dkXzcySFEwFrEAQJtWt5sWP7\nEVq3MY2DjEYj9et1//wH/ISkiclGykqpu3tWatYsZ74Rrl27a1FOIpHg1bUFhw6tYMnS8ZQsWfCb\n1rNH99EIgoBBNNCyZV0mTfJBIhFw+cQ9Jz4+gdDQCLp0+bh6EB0dy/nz1xkzpg8bN80iKOgl7969\nZ/jwn+dGjY5Ss8Z/FxUrtDO/Dhw4xdu34anKqqwUJCQm8jLkHcuXb6Nr19EsXLjxl9lynDZ9CAaD\ngWFDp7Ns2Vb6D+iI0Wgk2yc7E+HhEUilUtTJ8iODQbR4iN28+QCJRMKcuSM5fjyQjh2GIZVKcMv+\nY+1u5M+fA8CcMdzFxYmIiKj/eF61qp0xGqFUqcL07TOByVN8kEolTJ60lBYt6hBwcp1F+bZthlCx\nQjvq1umGVCrFzs4GUTQikQicPLWO84Gbv3TTvgh161bi4cNnSKVSpk1bQb16lZHLZVhbW7F4yXgu\nXNxKiRIF2LzloMV5AnD16i2OH7+ARqM1Sw5Fw4874fweHDx4Gp1OT/16PXgfHkngeVOeFhdnZ/R6\nAw0b9GLhgo0A5p3kqMgYjEYjt28/IiDgIkHPQj4bW5ZCSuxDr96ps3H/CKhj4pDLZcyeM4J3796z\nY8cRwPRbnDVrGGV+M+2kB57/6BB3714QSqWcgQM7m9+Lj0/EKQ3GBNnaWpMhgzP58uVk0aIxxMUl\nkPDJ/ZA3bw7AZFKzceNMs5lH+QrFLK4B0LRpH/r2ncT1a/e+i+HJ/HnrkUolPHr0nMOHztKsWS0c\nneyxslKhUFgOkkeNnINcLiMhud9VKBS4pHfCwcGWRo2qf+7yaYZRvj0A6NOnPQqFgvnz1tPcw5SI\ndu8eSwmVSqXEykrJtu1ziYpS06xpPwRBYPu2I1/FlOh7kSYmG2AajF27dpeRo3pSoIC7yWYuOe9G\nCm3amhLpLVy4AWtrFQsXjeH4iTX4ju71TTLBRkWpiY2NY/Pm2fgM7MyePceJjlbTsWNjcxlXVxdc\nXZ1xcXGkYaOq5vfnzV2HSqXk+PFAevcaz+JFm/itbLGfehsuY8b0n835kD17FgoWyGVhCxgXG49U\n+vPfzp5dPJDJpBgMIkeP+fMsKIShQ2YgCAIeHrXM5Tp2GI5eb6BI0bzs3xdAs6amLLDNPikD8CL4\nNX5TliOKIrGx8amslL83Ke5JmTKZVkkdHe159+4/x1KJokjbNj7ExyeyfMUkMmfOQLu2Q2jStCZ6\nvQGVSkmhQrlTnZfS8Ws0OoxGI0lJWpRKBRKJ5IfbCcyZMytOTg7kz+eOwWDg/LkbNGncB4NBZNGi\njVSs0I6mTfqi1epI72Jp5yuRSpg5czjLV0xEqVRQunRhAGLj4j/3UWmWxCSNWaqpslKaE7927NgI\nmUxKmzamPuHThYyZyQYNv/1WlLJli5I/f67PxhmloNebfns2NqofbrIPppgLpVJBvnw5mTF9FcNH\ndOfg78vZf2AphYvkJSpKzYjhlivbwcEmF8cWLeuyfPlEZDIJsbHxqfKNpAX8/f1Qq+Pw8hrF27fh\n2NvbUrv2x6Sk8+aPAuD06St4NOvHmdNXASyMMMr8VgSdTk/E+2iT7b2DLffvp1ZefG3U6jjOnrlK\nkSJ5qVmrAgcPnqZbtzEYjUYWLxljUfbcuetEREThO7o3I0f2JODkGkqXLkxcXAKly/x8jphfkipV\nfuNZUAhFi+bl8JGVLFo8Fp+BnqjV8axbZ+kspdXqmDZtBTdvPqBP33YcOrwCnU7HkiU/5gLY3+Xn\nH539l+h0Ok6dvIJEIsFnoOdnnYvat2sEwM6dx/DqMopaNbuwe9cxypUrzoGDy1JtJX4NtFodcrmM\nxo16s2jhJi5cuEm1amXNx0+dumSO4/D17W1OohQeHsnr12HmREFnzlxFrY5l5MheX73OXwtnZ0fe\nv7ecEGbLlgmFQo6NrQ2/H1rBvv1LGeDTCYPBaM6C+7NSp05FevZszdUrd6ldy4tLl24zZ+5IpvgN\nJCzsQ6oOPywsApVKxegxfTh7bjMgMGhQF/PxAwdOWSSkfPUqlJIlvu1u3X9CmiwTrFnTlIzP1taa\n16//O3vW8PAo+vWbiFQqQavVsmjxGPLnz4ln5xGEhkawctXkVKtxEyf1T/4cK2QyKZGRMbRrOxid\nTs/KVZO+YMv+OT17tSY0NAJ7B1uOHzPl+lGr49i58wg+Pp2ZOXMo3bu3IiZaTatWdc3n5c2bA6MR\nzp67ikajQyqVmONSChf+a7lPWkSpVCCVSlmwcAwODnZkz24Khg0OfotGo6Wfd3v6ebdHFC1XmY1G\nI4IgEBLylsTEJGL+g/Rv9uw1AAwb1u3rNOQfYDAYkMtl6HR6Fi4aQ6VKJTlz+grNmvWjfr0eNGr4\n+T5Erzcwe/YacrpnZd/+ZSQlaX7qxa2/S9ZsGbG3t8XHxxOdTo9Go6VFc1MyXls7a+ztbQkOfkOD\nBlXZu28J9RtU4dGjZ1y+dMd8DS+v5gDUrl0BlUpBrlxuqaRY3wpf33mIopGwsAgaN67OmjV+aLV6\nChbMg6enh0VZf/9dVKxYkho1y7Fg/gbq1+vB3j0nKF++xHep+4/A7DnDUSrldO8+hqZN+jJk8HRc\nXJxo0KCKOfnlpygUcrp0ac7uXSeoVrUTiYkawsJ+XGnv3yXNTDaSkjRkyODE/HnrKFgwV6oVc/dc\n2Ujn7EBSouaTc7Rs3LgfiUSCKIpcvvT1f/wdOwxHEARzoN3jR8GkT+9EsWKmQcLOHUdRKOTUq9uV\nxEQN06YNMp97/vx1c46NKlVKo1QqqV7jt69e5y+Bnb0tzTxq47/Gjw0bZ7Jt+1zc3bOZV7xTmDpt\nEEFBIdSq2YVWrXy4evU29epVYfyEfsjlsp86g23PXm348CGa0mUKsXvPQtav28OA/lOwslIRcCIw\nVfl7954SHv6BalU70a7d4FR+6GvW7MbZ2dG8Yn/nziPc3bN+k7b8tzg5mjI4lylTBDDp4v+b3Dcp\nPH0SQvVqniiVStzcMtOu7WC8vJqTMaMzOp2eHTvnWUw4smXLhF5vSF6JFoiMjGbL1jkIgoCj44+V\nWbxs2WLmVfeZM/3N7+fIngVBEMiazZWSpQrilM4Bh0/ilRo3rs6HD1FMn7aKYUNnIggCw5Mnqkql\naTHiz5OwtMr/sXfWAVFl7xv/3JlhGLoEVGxsv3YXdndhJ3ajYndjdxcodnd366q7rt2ghDSSM8Pc\n3x8XBkfcXQPBXX/Pf849c+ccmTn3vO/7vM+TrEamUilJTNQRGChV1RwcbfHzC6BunR5oNImpDNpk\nMhmDBk1j/LhF3Lp1X9/r8Vc4feoqoihSsmThn26PMjGV/g8OHjxD0yb9aNqkP/Pnb0xV+f8UarUG\nhVxOk8b9CA0Np1Klkjg4/FzVwR8NFxfJZHX4sFlkymRDVZcyTJ++Ut93dujQSmQyGdmyOWJpaY4o\nSo3DXpsOGNxHFEWMjBSMHdeXM2e9MDMz4eTJK+m+no9mhLNzDvbsPkGL5gPYv/8UanUCvfu4kjVr\nitDOoYPnEEWRSROX6AUqtmw5iLm5KXnz5sioyWcoKlYsiUKhYOq0Idg72HLjxh9MGC8Zho4d83nT\nZVGElasmcer0BoyMFDx//nkp7X8zfq5d7wciJiaOTPa2HDp0HgB7e0PVjEGDOhMdHUvoRyZ6SqWS\n7TsWkpiYSExMHKFhf5+9SgtERUXz9m0Qk6cM4vCR1Qx174ZOJ1KzplSWffDgOaIoUqCgMyNGeFK5\nSmlq1pQqH9u3HcHa2oL9B5Yzc9Yw7tx5gEaj1VMBfmbIZAJarZbwsCh8ff358/4zQOT2R301tWpV\nIHfubIwZswCQjN9mzljN5s0HEEWRkJCwVBnIfwu8vD3JksWegQOm0rBhb4ICQ9nkNZtOnZsiiiIr\nVmw3GJ/HOTt16lQiSxZ7Dh5aSbduLbG0NGf//hRN7uD3YQbqIBcv3MbG9uc6UFtbW6BNdcs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/pKBgyYirNzDnr1dsXU1IRBA6dlxNJSYeLEpdjZWTNocCeOHr1IrZrdiAiPxNjYKJUE7hzPtVha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yvGbtjM8+1m+BH34oiJmZgj592jJwUCfkcrl+8cXR0RapVELx4jofE6lUSkxisOHrFyTajRUE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"text/plain": [
"<matplotlib.figure.Figure at 0x109d9ca58>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Function comes from the neupy's examples folder\n",
"from examples.competitive.utils import plot_2d_grid\n",
"\n",
"background_color = '#22264b'\n",
"text_color = '#e8edf3'\n",
"\n",
"fig = plt.figure(figsize=(14, 6))\n",
"ax = plt.gca()\n",
"ax.patch.set_facecolor(background_color)\n",
"\n",
"sofm_weights = sofm.weight.T.reshape((2, n, 2))\n",
"plot_2d_grid(np.transpose(sofm_weights, (2, 0, 1)), color=text_color)\n",
"\n",
"plt.xticks([])\n",
"plt.yticks([])\n",
"\n",
"# Coordinates were picked so that text\n",
"# will be in the center of the image\n",
"plt.ylim(0, 220)\n",
"plt.xlim(-10, 560)\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.0"
},
"toc": {
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"toc_cell": false,
"toc_position": {},
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}