From 26d11ccc3778c5c063fb102c344172794f662cfc Mon Sep 17 00:00:00 2001 From: Vladislav Date: Wed, 6 Sep 2023 15:07:55 +0800 Subject: [PATCH] bitcoin forecast example added --- examples/bitcoin_forecast.ipynb | 339 ++++++++++++++++++++++++++++++++ 1 file changed, 339 insertions(+) create mode 100644 examples/bitcoin_forecast.ipynb diff --git a/examples/bitcoin_forecast.ipynb b/examples/bitcoin_forecast.ipynb new file mode 100644 index 0000000..2a69cb5 --- /dev/null +++ b/examples/bitcoin_forecast.ipynb @@ -0,0 +1,339 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cuda\n" + ] + } + ], + "source": [ + "import datetime\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import torch\n", + "from timediffusion import TD\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import yfinance as yf\n", + "\n", + "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n", + "print(device)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Getting historical bitcoin prices from yahoo finance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "btc_usd = yf.Ticker('BTC-USD')\n", + "history = btc_usd.history(start=\"2017-01-01\", end=datetime.datetime.now())\n", + "history.Close.plot(title='Close')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "seq = history.Close.values.reshape(1, - 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fitting TD framework" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 20/20 [18:00<00:00, 54.02s/it]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "model = TD(input_dims=seq.shape)\n", + "losses = model.fit(seq, verbose=True)\n", + "plt.plot(losses)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Checking fit" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fvtx1113UqFGjwPIPHDhAhw4dnIEPQM+ePbHZbBw6dMgZ/LRr184Z+DjqcvjwYSIjI93Ky83N5ciRI2RkZHD69Gm6d+/uPKfVaunSpUtQu74k+BFCCFEmXAc8W9AEsSYF0IXZW2CCdW8/uAYlWVlZzhYZT/Xq1UOj0bB69Wq2bNnCzz//zOzZs3nhhRfYtm0bTZs2LVW1XevhqEt8fDxffPGFV946deqU6l5lSYIfIYQQZaLCr+OjUvnV9VRRdO7cmW+//ZYmTZqg1fr+GlepVPTs2ZOePXsyZcoUGjduzJIlS5gwYQJ6vR6r1eqWv1WrVixYsIDs7GxngLN582bUarVzYHNBdVm0aBF169YlKirKZ5569eqxbds2rr/+egAsFgvJycl07ty5JB8/IGTAsxBCiDJhcWn5qeBhUKUyZswYLly4wH333ceOHTs4cuQIq1atYsSIEVitVrZt28Zrr73Gzp07OX78ON999x1nz56lVatWADRp0oQ//viDQ4cOce7cOcxmM0OHDiUkJIThw4ezd+9e1q1bxxNPPMGwYcOcXV6+DB06lNq1a3PHHXfw66+/kpKSwvr163nyySc5efIkAE899RSvv/46S5cu5eDBgzz++OOkp6eXx6MqkAQ/QgghyoQ5b8yPChshVN41YSqa+vXrs3nzZqxWK3379qVdu3aMGzeOmJgY1Go1UVFRbNy4kVtuuYWrr76aF198kZkzZ9K/f38ARo0aRYsWLejSpQt16tRh8+bNhIWFsWrVKi5cuEDXrl2566676N27N3PmzCm0LmFhYWzcuJFGjRoxaNAgWrVqxciRI8nNzXW2BD399NMMGzaM4cOHk5CQQGRkJHfeeWeZP6fCqJRgT7YPoszMTKKjo8nIyCiwuU4IISqVqdEexxnBqQew4+gF7p6XxEL9NHqoDxScsZzqmJubS0pKCk2bNiUkJKRc7ilKrrC/r9J+f0vLjxBCVBV/r/dOO/0HbPsAbFbvc2Xspe/3ARQe+AgRBDLgWQghKqkso4U/TqbTvWktNGoVfHaHd6b3r7P/qQuFzsPKtX77T2eW6/2EKC5p+RFCiEpq2MfbuP/DbczfnFJ05tQ9ZV8hH7TIxqWi4pHgRwghKqldx9MBWLzjGGwpfGBqsOZbhWEsOlP1HXoqgsTv4Oeff/7hgQceoFatWoSGhtKuXTt27tzpPK8oClOmTKFevXqEhobSp08f/vrrL7cyLly4wNChQ4mKiiImJoaRI0e6bZ4G8Mcff3DdddcREhJCw4YNnct6u1q8eDEtW7YkJCSEdu3asWLFCn8/jhBCVHq9TOvh5xeCXQ2fijXLyyozwUT58iv4uXjxIj179kSn0/HTTz+xf/9+Zs6c6bZk9owZM/jvf//LvHnz2LZtG+Hh4SQmJpKbm+vMM3ToUPbt2+fcGG3jxo08+uijzvOZmZn07duXxo0bk5yczJtvvsnUqVP54IMPnHm2bNnCfffdx8iRI9m1axcDBw5k4MCB7N27tzTPQwghKp1m1qNFZwpC68qVdcJpqkotOuNf5bsBazWe5FyplOXfk18Dnt944w0aNmzI/PnznWmuS2UrisLbb7/Niy++yB132AfeffbZZ8TGxrJ06VLuvfdeDhw4wMqVK9mxYwddunQBYPbs2dxyyy385z//oX79+nzxxReYTCY++eQT9Ho9bdq0Yffu3cyaNcsZJL3zzjv069ePiRMnAjBt2jRWr17NnDlzmDevgmyaJ4QQ5cBWdJaguEH1G1MM04rO+NfP0Oq2Mq+PRmPfYsNkMhEaGlrm9xOlc/nyZQB0Ol3Ay/Yr+Pnhhx9ITEzk7rvvZsOGDVxxxRU8/vjjjBo1CoCUlBRSU1Pp06eP85ro6Gi6d+9OUlIS9957L0lJScTExDgDH4A+ffqgVqvZtm0bd955J0lJSVx//fVum6clJibyxhtvcPHiRWrUqEFSUhITJkxwq19iYiJLly4tyXMQQohK6zZz+bacFNcdl5cWL6O2fNbc0Wq1hIWFcfbsWXQ6HWq1DHutiBRF4fLly5w5c4aYmBhn0BpIfgU/f//9N++99x4TJkzg+eefZ8eOHTz55JPo9XqGDx9Oaqq9edNzKezY2FjnudTUVOrWreteCa2WmjVruuXx3HzNUWZqaio1atQgNTW10Pv4YjQaMRrzB99lZso0TCFE5RfB5WLkKv+uHhuq4mWMrFe2FcmjUqmoV68eKSkpHDt2rFzuKUouJiaGuLi4Minbr+DHZrPRpUsXXnvtNQA6derE3r17mTdvHsOHDy+TCgbS9OnTefnll4NdDSGECJjaBG8F56IUuzuu1pVlWQ03er2eq666CpNJBllXZDqdrkxafBz8Cn7q1atH69at3dJatWrFt99+C+CM0NLS0qhXLz+ST0tLo2PHjs48Z86ccSvDYrFw4cIF5/VxcXGkpaW55XEcF5WnsChx8uTJbl1lmZmZNGzYsPAPLYQQFdjH+jeLlzEIg3yV4rb8KOU7akmtVsv2FtWcXx2ePXv25NChQ25pf/75J40bNwbsg5/j4uJYs2aN83xmZibbtm0jISEBgISEBNLT00lOTnbmWbt2LTabje7duzvzbNy4EbPZ7MyzevVqWrRo4ZxZlpCQ4HYfRx7HfXwxGAxERUW5vYQQojLroP7bK22CaXQQauKt2PFWOQc/QvgV/IwfP56tW7fy2muvcfjwYb788ks++OADxowZA9j7U8eNG8err77KDz/8wJ49e3jwwQepX78+AwcOBOwtRf369WPUqFFs376dzZs3M3bsWO69917q168PwP33349er2fkyJHs27ePRYsW8c4777i12jz11FOsXLmSmTNncvDgQaZOncrOnTsZO3ZsgB6NEEJUTr/Y4n2kBmPMTzG/YmTquShnfgU/Xbt2ZcmSJXz11Ve0bduWadOm8fbbbzN06FBnnkmTJvHEE0/w6KOP0rVrV7Kysli5cqVbE+MXX3xBy5Yt6d27N7fccgvXXnut2xo+0dHR/Pzzz6SkpBAfH8/TTz/NlClT3NYCuuaaa5zBV4cOHfjmm29YunQpbdu2Lc3zEEKISs/nQOOdn5CZa/ZOL0PFDmmk5UeUM5VSjVd7yszMJDo6moyMDOkCE0JUOk2eW87RkPu90lvnfsL+kIe90m+K+J61z/Qqh5rZbZt2I92tvzmPl1u7MUCz3TvjwHnQ8b5yq5eo/Er7/S2LHAghRBVT0BTzv89ll2s9NIr7pqZPmp+AsckMqrOcFrkLWGftYD+hWMu1XkJI8COEEFVMsWdZlTGtR/BzR+dGULs5VgWM6LlR87v9xPdjglA7UZ1J8COEEFXIr9a2FSb40ZE/xsimMTB9UDsALLZqO9pCVBAS/AghRBWioMJaQX61t1H+cr5Xa/QYtPZF66wS/Iggqxj/QoQQQhSL2WqfGWW0eI+TuahEMM0yDCtltzJusWWfdz/W5K+p67Plp/rOvRFBIMGPEEJUEnv/yaDVv1by9i9/kmvynh7e2TiPv5QGhZZRXhN8T5xIcU+omb+FhcXqY2r7kbVlXCMh8knwI4QQlcS0Zfux2BTe/uUvTD4CCKUYv9LLq8fphe/+cE+462PnW58tP2cPlnGNhMgnwY8QQlQSrmNlHN1fuYoOgIHGVwq99oISAYDFVj4LCl66lOl8b6t5JdRo4jz2NebHbCnfBRhF9SbBjxBCVBJWly4rk8UexDi2kDiH+0JvK61d3Y41eXusl9dg4xBV/q7p6pwLbudCdd5jkkwmCX5E+ZHgRwghKglfLT8q5yYS7tPbnzS773OoRqEOF7lwcFOZ1tEhksv5BxaT27nZ93fyym/2MYBbiLKiLTqLEEKIisBizQ9+jBb34MdzHLMJndtxpCqHHSFj4Dug1lq4wtfmp4FTW5Xf7YXV6HauTf1or/wms8UrTYiyIi0/QghRSdiUglt+/FrY8PjWgNbLlxgu5R/Yig5sLFYJfkT5keBHCCEqCddZUiaPlp+C9vPyKSQmkNXySUfh3Vh6rcfXTzkNxBYCJPgRQohK40xmrvO9Oa8LzBHy+NXyo9EVnaeUYkJc6pM43ev8r5Nu5Fvrtc5jmyLBjyg/EvwIIUQlkZmb3zVUULfXynHXsebpGwD4zHKz74JMZb+7e9OaIQD8EdMbEh73Oq9WqVhp7eY8Vmwy4FmUHxnwLIQQlZBzwHNeA4sCxITpaBmXP+V9mmUYeszcq13vfnH22TKtm82mcCbDHmBZI+r7zKNRq9y66lTS8iPKkbT8CCFEJeRrqrvBZRzNiJ5NMKNll3KV98UXj5Vp3b7YfpxLl+1ddIra9/+x1ar8NYpAWn5E+ZLgRwghKiHHgGe1S7eXY9d0AK3a3qoSgsn7Ykuud1oALdpxHDWOlinfm6yq1Sr34EdafkQ5kuBHCCEqIXvLT/7sLwV7V5KDRm3/9R6KES9WH2kBpFGr0ebN9jqR4SP4AjQq926vGqlbyrROQriS4EcIISohs9Xm0uVln+qeci5/ILOj5WeLrY33xZYyDn5UoMkLfrILWL5H7RH8RKYfKNM6CeFKgh8hhKiETFb3ye2eU90drUB/KFfyiOlpNltdgqCyDH4uX+CFjKncobG35Fx7dZzPbGq1+5gfIcqT/OQJIUQlZLW5t/x4Bj9aly6wX2zxDDW/wP+ZxtkTyjL42TCDeON2wlX2e0SGhfjMplH5sS6REAEmwY8QQlRCZqviEfy402i8gwvnfl9lOebHYxq9zuJ7TSG1r+Dnn+SyqJEQXiT4EUKISshiVZwzvewKbvlxcLYOleXMKpX714pO53s1abVahVHxOJc0t6xqJYQbCX6EEKISshTR7eWY7eXKry0wSsqjRUff+b4Cs17Gs0tMusJE+ZDgRwghKiHH3l4Ont1evlp+8jN75g4gj5YfajQpMGsOeveEYuz+LkQgSPAjhBCVkMVrqrv7r3ONz24v73eBV/zWm6n33uieYM4JcF2E8E2CHyGEqIQstsIHPBc+5qcMK2b1vaihLzd2aMbL9d7LT8hKLYMKCeFNgh8hhKiE7Isc5itonR+AJ29qTr82cS55yjD6yU33K/uJkKvzD07/Duay3XpDCJDgRwghKiWrTXHunwU+1vlxmequUqnwMf45IGasPMjo/yVjs+UFVH6O29F41iv9eGAqJkQhJPgRQohKyGwtfO6W62wvtUqFyrWTLIADnt9df4SV+1L57fjFEl2vUav4j/nu/IQy3nRVCJDgRwghKqWiprq7jvlRqwAVAe/2UlyCKKuj5cdq9qsMlUpFOhH5CX6MGRKipCT4EUKISiAt071FxGJVwGNjU1euY37UahUqXAc8Byb4sdjyy9Fp875O/Ax+vLa5kBlfohxI8COEEJVAZo57UFHUgGfXlh+VynM7icAEPyZL/pgjnaObzeZn8KNWudddsQaiakIUSoIfIYSoBPRa91/X3lPdPQc8e4z5KYPFk92CH23eDaz5A55XXflikWV41csmwY8oexL8CCFEJWC1ubfWmK02t729ereMZfHoBOdxqE7jfK9WUSbdXiZrfvDjbFnKa/m5z/QC++PuKLIMr26vstx3TIg82mBXQAghRNE8gx+rR8vPh8O7ujWjhOnzgx8VKlQqFYoS2AHPri0/NkdAlTdg2axo0PnYWd6T1+7u0vIjyoG0/AghRCVgVbxbftzCBo8gwi34UdlfgZ7qbnQNfhxv87q9zGh9bq7qSe25ErWM+RHlQIIfIYSoBDxbfkwW96nunsL0+Q37qrx1fgLNteVHcdQlr9vLgrbwzVXzeC5y+NHGwzR5bjmLdshih6Ls+BX8TJ061f6PyOXVsmVL5/nc3FzGjBlDrVq1iIiIYPDgwaSlpbmVcfz4cQYMGEBYWBh169Zl4sSJWCzuK4KuX7+ezp07YzAYaN68OQsWLPCqy9y5c2nSpAkhISF0796d7du3+/NRhBCiUrF5DIX5/WRGocFPqEvLj9Vmy2v5CXC3l8uYH0UBLh6DS6cBMKPxubmqJ0VxH6ydfmwPAM9+uycgdRTCF79bftq0acPp06edr02bNjnPjR8/nh9//JHFixezYcMGTp06xaBBg5znrVYrAwYMwGQysWXLFj799FMWLFjAlClTnHlSUlIYMGAAN954I7t372bcuHE88sgjrFq1ypln0aJFTJgwgZdeeonffvuNDh06kJiYyJkzZ0r6HIQQokKzeEY/wHDtKh857Vy7vXLNtrwBz3kCNeDZc8zP+tedx5ZiBj9pmbmstHZ1Hj+jWxyQuglRGL+DH61WS1xcnPNVu3ZtADIyMvj444+ZNWsWN910E/Hx8cyfP58tW7awdetWAH7++Wf279/P559/TseOHenfvz/Tpk1j7ty5mEz2QXLz5s2jadOmzJw5k1atWjF27Fjuuusu3nrrLWcdZs2axahRoxgxYgStW7dm3rx5hIWF8cknnwTimQghRIVj8whY1Ni4R7OhwPw6l/6kHLMVtUoV+JYfi0fLz+VzzuPitvwYLTYuEBWQ+ghRXH4HP3/99Rf169enWbNmDB06lOPH7f2yycnJmM1m+vTp48zbsmVLGjVqRFJSEgBJSUm0a9eO2NhYZ57ExEQyMzPZt2+fM49rGY48jjJMJhPJycluedRqNX369HHmKYjRaCQzM9PtJYQQlYFLDxOPaX7gkGE4dVQZxbo212x17/YKUMvPpsP5wY5NUUCdP87IrBRvzI99pWpvtcL1pa+gEAXwK/jp3r07CxYsYOXKlbz33nukpKRw3XXXcenSJVJTU9Hr9cTExLhdExsbS2pqKgCpqalugY/jvONcYXkyMzPJycnh3LlzWK1Wn3kcZRRk+vTpREdHO18NGzb05+MLIUTQuA54fla3EJ2q+LOijBYbB1IvBbxOG/4863xvUwBV/leKBW2xWn58deepsJXJooxCOPi1zk///v2d79u3b0/37t1p3LgxX3/9NaGhoQGvXKBNnjyZCRMmOI8zMzMlABJCVAqes738YbLY+P1EOp2dAUXpWn5OpeewYMtR6kQaOHDapUyXFiUzGrTFWOfH5KPlR48FlUQ/ogyVapHDmJgYrr76ag4fPszNN9+MyWQiPT3drfUnLS2NuLg4AOLi4rxmZTlmg7nm8ZwhlpaWRlRUFKGhoWg0GjQajc88jjIKYjAYMBgMJfqsQggRTJ7r/LhJfK3Qax1jcwLV7XXN62u90mwKbmv02Ac8F925YPXR8mPAFKieOSF8KtU6P1lZWRw5coR69eoRHx+PTqdjzZo1zvOHDh3i+PHjJCTYl1xPSEhgz549brOyVq9eTVRUFK1bt3bmcS3DkcdRhl6vJz4+3i2PzWZjzZo1zjxCCFHV2GwKTVSn2WR40vtkreaFXusV/JSi5cdzd3kHRcFtdWYLmmKN+bls9O6+C8HsMygSIlD8Cn6eeeYZNmzYwNGjR9myZQt33nknGo2G++67j+joaEaOHMmECRNYt24dycnJjBgxgoSEBHr06AFA3759ad26NcOGDeP3339n1apVvPjii4wZM8bZIjN69Gj+/vtvJk2axMGDB3n33Xf5+uuvGT9+vLMeEyZM4MMPP+TTTz/lwIEDPPbYY2RnZzNixIgAPhohhKg4zFYbU7T/o4HqnPdJTeGDg40WK83rRuQnlKJVxXWGlyubori1/JiKOeZnYmILrzSDylSqbj4hiuJXt9fJkye57777OH/+PHXq1OHaa69l69at1KlTB4C33noLtVrN4MGDMRqNJCYm8u677zqv12g0LFu2jMcee4yEhATCw8MZPnw4r7zyijNP06ZNWb58OePHj+edd96hQYMGfPTRRyQmJjrzDBkyhLNnzzJlyhRSU1Pp2LEjK1eu9BoELYQQVcWRs9m0w+z7pNZ3d/5D1zRhwZajjL/5alSoeHHu7jKrn01R4Ii9O+yk+goU1G6bqxakf7t6XvkiyeGixD6iDPkV/CxcuLDQ8yEhIcydO5e5c+cWmKdx48asWLGi0HJ69erFrl27Cs0zduxYxo4dW2geIYSoKt5YeZDPdQWc1If7TJ56exue7deSUL2Go+eyA9LtZSmoRcYl+YjKPpHEdaHFwkSEaHnj8r08q7N/x8zXz6CX7f0S11GIosjeXkIIUdnpIwo85djmQqNWBWTAc0Fjcc5nmzDrYwD4nFsBCClGy4+jOu9Zb3cex6rSCx/gLUQpSfAjhBCVhFLQ5qTakCKvVatddwILfMvPE1/tIt1oP3fisr1TobgtP77qY7DllKh+QhSHBD9CCFHBKUW1goTXKbIMjeu6OaVoVSloReYb1L87V5w2Yu+fizAUb2SFr+o8r/6sZBUUohgk+BFCiApuy5HzAKh9tdjUaAraoreCUKsLaTkqpsNnsrh19iaf52bp8ie35Cr2+tQo5hYVvsKp/prtHD9/2e86ClEcEvwIIUQF51hbJ0aV5X3y0fXFKsPe8mMPfpQSdntNW7bfZ/pN6t+opcrfPsPR8uO6uWphfLVs2VBx/ZvrSlBLux1HL5Ca4XtNIiEk+BFCiArO0YJi9fUrOzSmWGVoXMf8BHAwcRtVCp/o/+OWloue8GKP94HwvO6xieZHnWk+P2sx7Tp+kbvnJdF75voSlyGqNgl+hBCigtPntaDssLV0S89tObjYZajdFhwsWfDjWI9Hi4V3dHP4P82PNFKd8cpnREfnxjWKXW7LuEgATir5Y5dspfh6WnfIvuFqtqn4m7+K6kWCHyGEqOCsNoUaZDJS+5Nb+qXEt4pdhkZV+qnuNcLt3VnDNau4Q7OFybqv6KvZ6V1fNMVa3dnhtTvbAWBR8luLHMGPxer/Nheuq1CbS3C9qPok+BFCiArOqiiM0X7vla7Rhxa7DNd1fkra6XVlHft6Qj3V+5xpd2o2+8yr9mNX9rpR9qn6rl1dWqyosJHtY++vomTkmJzvL2abCskpqisJfoQQooI7m2kkBO8vcT8aV9Br1M6uL0UpWWuIo8HI56wzD/7UzcFCfstPHVUG3+v/RZbJ4nc5Jkt+/QqanSaqNwl+hBCigpv07R9uk9TNiobnzI+g8qN1Ra1WUSvcvgeYrQSbhlptCv9eccBeFgUHT4utNwD4VTeACTdfjRX3QdLt1SlkG/0Pflxnj525ZPT7elH1SfAjhBCVzF2ml1hovcnv1hXndhMlGPOz+0S6872Wgruillu7Ax6LKhbDLe3isPj4SrqUU8BmroXwXIVaxv0ITxL8CCFEJeC6OcUlwgD/xtWA54wv/7gOYFarCg6eHOOK1H5+uzSrHcEVV7b1Sr+c4/82F1aP4CfXLLO+hDsJfoQQopJxrKDsb/CDyvEr3/+WnxBd/tdFYd1ev9rsM7f87fZSq1V88sh18Pg2t/TcXP9XebZ4bL6aa5aWH+FOgh8hhKgEXFt+HCso+9u64my9KeUih5oCgp+J5kedU9T9DswcPLbqsFn8n63luf+YtPwITxL8CCFEJXCfNn+rh1xK1vKTn9//4McRUISTQ7z6L6/zL5pHsNjay3msKWkPm9pjM1SL/wOWPcf8mGTMj/AgwY8QQlQyzpYfv7uW8n7ll6DlxzGO5mOPrSwcPrfe7H6vkrb8eFDM/gc/nmN+SjK7TVRtEvwIIUQlY0GLVq3ye7aXqhQDnq15AVMP9YHi3aukwU9ErPtxiVp+bB7HEvwId9qiswghhKhI/pjaF41K5f+g4lIMePZsTXHIrXE196fe7+Neft/CTmtwO7RZfO/MbrUp2BTF587xnnUtqO6i+pKWHyGEqOAcG386RIXonDuh+8O59k4Jur02/XXOZ3rIUzt4fNj9PHRNE/d7laKVCUOU863eeN7rtKIoDJy7meveWIfJYnNb1BC8W3qk5Ud4kuBHCCEqk5unlfhSxzo/OksW2PwbBPzOGu9Bzg59Wsd6BWgl7vayX5xfdvLjbqcsVhtDP9rGnn8ySM3MZenuf+jy6i98vvWYM89Zj1WdS7I5qqjaJPgRQogKTlEgXQm3H1zdr8TlqF3nxv+9tiQ1KaRs92CnNA0/6MILPLX17wtsOZLfGjTpmz84n23ixaV7ATBarJy8aF8YsVa4fVactPwITxL8CCFEBWdTlPyFBdWawjMXwi34MV7y+/ohmvUFnvPczqJUs71Ca7gdzvz5kPP9hcuFr/vjaPXRa9XUirAHPzLmR3iS4EcIISo4BdAGIvgp5fTzxzXfuyc0vcH51nOMT6lafkKi3A5nrz3sfF/UtPVLufaNUKNCdGjzgj1p+RGeJPgRQogKTlGU/FWVPRcB9ENp9vYa0L4eYSqPmVe9pxRYtsbf5afdLtYVeCqnsNWa9/9Ak0U30lJ1nBCdmv2nMwHYdyqj5HURVZIEP0IIUcHpbEZ02Fs0UJW85Uevcb3Wv0AoRKshDI81d/T5Y3M8u710JV7iGVC7Bz9NVKed7y+bCgl+vh5GaPphZutm5+9gD8xYeajga0S1JMGPEEJUZMYsvs0enr+TeilafkoyPd7BbLURrvIIfqIbOt96NiqVaqq7R8vPesPTnP3oLjBlk2OyFHl5mCrXbSNWITzJT4cQQlRkJ7YSTk7+cSnG/ESGlPxas+d0cbUWDBH5hx7BjjaAwQ9AnZOrYecnBXR7eY/pCdFq6NgwBoB+beJKXhdRJckKz0IIUZF5dAGVJvgJ1boECX4OfjaYLron9JrsdujZ7VWqMT+en9nBnOvV7RVFFqsMz/GLtbMzrS7pXKUco3XoOc4Sycp9Ja+KqJok+BFCiIrMs5tLoy95UUrJF/trkOOxp1f8Q26HnrGUtjRjflrdBvu+8043RJLjFvwo3KPZQD3VBYZpf3Gm6lRWpp8ZDcBV+lbca/pXyesiqiTp9hJCiIrM5jHGRRtS4qKcM8b8tO7QGY7+k5af0H4IhNd2y+O5Y0apur3a3Mn+zi97pxsinC0/H+r+w7f6qaiK2Kesh/oAUWTJzu7CjQQ/QghRkXnual6KtXrcg5/ilzNi/g70mPMT2gzyymPziH5KNeBZpSLt6vtZar3GI11DjtmKFgs3a34jXv0XTVRpvstwsUT/ElnFGCgtqg8JfoQQoiKz5BSdp5jUrsGPKduva/Uqe/CQGxoLVyd6nfdsVyntqso6jRqz4t7lZ7WYyDFZ3abcD9WuKbKsK9WnsVil5UfkkzE/QghRkXm2/JTCpfD8qeksHQ0d7yvyGkcQY8hr+cmsE0+Ij9anonZW95daDTaP/59rlj3Je6pIIkP835rD4udGrqJqk5YfIYSoyCy5RecpblHayKIzeV6TFzQ4ur1UWoPPfJ5jfrymxvsp12zF6qNrLlLxP/ABuPU/q1iwOaVUdRJVhwQ/QghRkQWw5Uetgr9tLmveeEYsPjhafvSOFaa1vmebeTb06DSl+3rp2bw2cTFhpSrD1XbVgxxYMTdg5YnKTYIfIYSoyALY8qNWq9hg6+BX2ea8sTLRqrwxQoYon/k8Bzy7bi9REgathptaBnZxwjd0Hwa0PFF5SfAjhBAVRLbRwrfJJ8m47DKzyhy44EcFzLAMyU84uaPIaxwtP3GqCwDYIur5zOcZ/HRqFFOiOrpp6z2rrLRkyruAUgY/r7/+OiqVinHjxjnTcnNzGTNmDLVq1SIiIoLBgweTluY+FfH48eMMGDCAsLAw6taty8SJE7FY3Kchrl+/ns6dO2MwGGjevDkLFizwuv/cuXNp0qQJISEhdO/ene3bt5fm4wghRFBN/WEfTy/+nVH/25mfeCl/U8/U618vVfkXss3k4LJOkLnomWSOMT9RXLYnhNbwmc819vnkoS50buQ7n1+aXFv6MjzkWgrZGFVUGyUOfnbs2MH7779P+/bt3dLHjx/Pjz/+yOLFi9mwYQOnTp1i0KD86N1qtTJgwABMJhNbtmzh008/ZcGCBUyZMsWZJyUlhQEDBnDjjTeye/duxo0bxyOPPMKqVauceRYtWsSECRN46aWX+O233+jQoQOJiYmcOXOmpB9JCCGC6vvfTwGwPcXeysLFY7DzYwBmWwaS2eaBUpWfmmkPdn6zNbcn2CzYbAr/SzrKgdOZPq+xWGy0UB2nlioDALXB96DpXi3qAPYWn5taxpaqnm5CYvzK3iT3C9Ijryrw/GdJx0pZIVEVlCj4ycrKYujQoXz44YfUqJEf3WdkZPDxxx8za9YsbrrpJuLj45k/fz5btmxh69atAPz888/s37+fzz//nI4dO9K/f3+mTZvG3LlzMZlMAMybN4+mTZsyc+ZMWrVqxdixY7nrrrt46623nPeaNWsWo0aNYsSIEbRu3Zp58+YRFhbGJ598UprnIYQQQRPhuev6/u+dby8poX4sS+ibKm+KutmxyonNwqdJR/nX9/u4dfYmn9foDq9kleE52qmPAqAOjfCZLyZMz4FX+vHt6Gt8ni+x3HSfyT/Wf8rt+IitHhus7QFVoas+v/7TwQBWTlRWJQp+xowZw4ABA+jTp49benJyMmaz2S29ZcuWNGrUiKSkJACSkpJo164dsbH5/zNITEwkMzOTffv2OfN4lp2YmOgsw2QykZyc7JZHrVbTp08fZx4hhKhsQj0HCbtsbWFB6wxeSsqx6LJVyfvVbzWzcm+q/W0BY2FC933ldqwJKXi6fKhe47W7e6m1vNVn8spQ9/SbTW8y3PwsABZ9/qDsHrmz3fJFOLrvRLXmd/CzcOFCfvvtN6ZPn+51LjU1Fb1eT0xMjFt6bGwsqampzjyugY/jvONcYXkyMzPJycnh3LlzWK1Wn3kcZfhiNBrJzMx0ewkhRIW1Jn9/Kxuq0uxsAdjbRAAs5AVZZw5gKmI9nsxc9/GYhQU/ZeL22cyLGEOH3A/Y0Tp/J/mIUPc9zuwLIto/357416B+ZxjyOanUcsu3zvA01q3z4OjmMq+6qLj8Cn5OnDjBU089xRdffEFISMk31wuW6dOnEx0d7Xw1bNiw6IuEEKICsKIudbeXo1Hmes0e+5tf/1Pk7Ceb1T340ZV38BNWk9Xht5JBBIrLKs2D4xvwP4u99f9Haw+3S4zRTeHRdfbd4YHLSv7CjHVUGWhWPgsLbimHyouKyq/gJzk5mTNnztC5c2e0Wi1arZYNGzbw3//+F61WS2xsLCaTifT0dLfr0tLSiIuzr9cQFxfnNfvLcVxUnqioKEJDQ6lduzYajcZnHkcZvkyePJmMjAzn68SJE/58fCGECJrzShTqUjb9+Oo2Uxexd5jNY5FFbYjvMT9lydld5xKoheo0vGp5gIdME5lo/j+3/Cnn3Pctu8M0rczrKCoXv4Kf3r17s2fPHnbv3u18denShaFDhzrf63Q61qzJ32ju0KFDHD9+nISEBAASEhLYs2eP26ys1atXExUVRevWrZ15XMtw5HGUodfriY+Pd8tjs9lYs2aNM48vBoOBqKgot5cQQlREJy64j01ZaetW6m4vX8HTzItP+ciZT7Ga3Y41oeXc8kN+vRUlv+VHr1VjRM96Wydycd9yQ+PyOZ/r35K4KxqXT0VFpeHXxqaRkZG0bdvWLS08PJxatWo500eOHMmECROoWbMmUVFRPPHEEyQkJNCjh71Zsm/fvrRu3Zphw4YxY8YMUlNTefHFFxkzZgwGg/0HePTo0cyZM4dJkybx8MMPs3btWr7++muWL1/uvO+ECRMYPnw4Xbp0oVu3brz99ttkZ2czYsSIUj0QIYQIFtfNQfu9vZF9dVvAuUMMMf4LG+ri7EZRKF/BUzPVP4Vec8WlPe5l6EJLV4kScAQ//0S0c6bpNAVHgvd0zR/SMPqGKxndvTaUbokkUcUEfFf3t956C7VazeDBgzEajSQmJvLuu+86z2s0GpYtW8Zjjz1GQkIC4eHhDB8+nFdeecWZp2nTpixfvpzx48fzzjvv0KBBAz766CMSExOdeYYMGcLZs2eZMmUKqampdOzYkZUrV3oNghZCiMoo22QFxb4gny1vtE+W0VLYJUUqyUQsrWIuOlMZU+f1URwLacUQ4784r4tlfiF7h0V6LhmgKt1WG6LqKXXws379erfjkJAQ5s6dy9y5BW8g17hxY1asWFFoub169WLXrl2F5hk7dixjx44tdl2FEKJSyevmcQQ/reoFpqv+a8sN3KPd4Pd1/2cax/sBqYF/HC0/c9YdBlqByd7tVWB+zyhPLcGPcCd7ewkhREWVF/woqLiqbgSaAK2h85xlVImuW2XrFpD7+8vXWCW9P7vGq+SrTriTnwghhKionC0/agy60v+6dowZshXwq18p7aCiMuIr5tMV0vLjRbq9hAcJfoQQooLwCj3yghEragza0n+BFxXanMsyFXjuOfMjpb5/Sflq+SlswLN3ARL8CHcS/AghREXlMubH4E9LR0HFuUQ/0833eZ2/eNkj+Ll8wfk2WdOB+Q91LXUdSsLX+kQ6tT8tP/nXP+OxJpConiT4EUKICsKr18llzE+I575fJSnfpe1nja0TABeU/EULLVaPCpiynG+H33IDN7asW+o6lISv4T2eg5pvbV8PgHZXRBda1gGbfc2fXEUXmMqJSingU92FEEIEiMuYn7/PZhWRuRjFucQ2jv29tFidaV6bm+at7pyhhPnXzRRgxVnZ+t93tuO1Qe0IKyhIHL+fS5cucX7OdsB3QCWqDwl+hBCiorLlr/Nz9HxgdyM3K/Zf/1Gq/O0tLDaPTU4tuQDkokfrTzdTgBUn+IkOLaIlJ/oKIqPhyT7psAnUirXw/KJKk9hXCCEqKo91fkpdnEvTj9nl/75tVEcBHy0/ZnvwY1R0aIPY8lNU7HN3fAM/CrN/blWRw79FVSbBjxBCVBCK5xeyy5ifQOjdKn8FfEe3F8Byw/MYMGH2HPOT1/JjDHLLT0HrGw1PaEyL2EheuaOtz/O+qPP6u9QosF72vKiupNtLCCEqKKvNhgb7mJ+nb7661OVdf3Ud53uzx6//uzUbsNqu86iAyZk3mC0/rg1SnRvFMOOu9gC87EfQ46Bynfa+fjr0eq601ROVkAQ/QghRQXjO9jKazYRh7/YK1NYWDmbcBwZHkOM95se5zpAqqAOeL2Qbne8Xj76mVCtdaz1HOtts+ZuHiWpD/saFEKKCsHlGPy5jfgLd8uLZ8gM+xvw4N1ZVowligHDuUv76Q6Xd4iMqNMQ9wVa6zWJF5STBjxBCVBAWj+BDlRcMKajRBXhuttXj13+k6jJmq0K2687xLlPtdQHaV6wkci2Bm5kVGaZ3T5Dgp1qS4EcIISoIq8eAYwNmAGyKCm3Agw/38sZof+B/3y2lzUur2HE0b2Vnl6n2Xt1FlVR0mGfLjzk4FRFBVTV+moUQogpwbflppTqGWmU/Lq/g417zEgBe/+mgPSGv5ceKOqgDngO532p0uEfwY5WWn+pIgh8hhKggXMfc/Ev7P+d7G+oyaPmBxZbr3Y4vKWEA/Jl6yZ6QN+ZHoSxanorPawmAUoiOCHdPWPFMwMoWlYcEP0IIUUG4zrbSq/JbJGxl1PLyjfUGt+Pz2GeUXTJa2J5yIb/lR1EHdZ2fQLb8hHpuf7Hvu8AVLioNCX6EEKICsNkUt/Vsosl2vs/GEPABzwC/KVe5HacpNZzvl/1xyj4NHHu3W4iuanxdqNUqvrD2cU8MZHQlKoWq8dMshBCVnNXjC7iOKt35PgdDmXQ7mdFywNbQeawjv7VJr1G7zfYKxK7yJTXrno7otWqm3tY6IOWpVB5ffWcPBaRcUXlI8COEEBWA+xo7CjGqbJdjVcBafu7y2AdriGmK830j1Rnne71WjS1vGniwg59uTWuy/+VEHurZNCDlqT0DyXe7B6RcUXlI8COEEBWAa/BTn/Ne5wM15uffd7Zl9A1XOo8zCWe3rRkAI7Sr3PKaLfbgx4o66N1egZzttlvj/7YYomqR4EcIISoA12nudV26vG4zvgoQsAHHBq2G5/q35MAr/ZxpHdV/e+V7d/0RNv9lbwmyocKgDV7LT6D9qu3JaNO4YFdDBJEEP0IIUQG4tvw4xvscsDVkj2JvlQn03lqh+qKDmdX7TtvfqDSl3laiItHrNKy0dcMYXj8/UQY9VysS/AghRAXgOs29tioDgJNK/i7sZRl8bLG6DyRuozpKbTLQYK+Tqopt/Ol4lmlX3p2fuOaVINVGBEPV+okWQohKyrXlp2+sfZHB00otZ1pZTHV3mGJ5yPn+KtVJlhueZ5PhSdR5wU9V2/U8P450CSg3zQpGVUSQVK2faCGEqKQseft6heo0dIrKBOBPJX9mVlkGP4bI2s73Y7VLAQhRmZ1T39WqqjPeB0Ctsgc9npvYi+pDgh8hhKgAHC0/WrUKjSUXgMuKwXm+LLq9Vjx5Hbd1qM/IXlc70+7QbHG+D8dof6OuWsGP41l6bZuRfiIItRHBIMGPEEJUAI7ZXhqNCrXlMmBf3LAsta4fxez7OnFFzWif5w0qEwDqKtftZQ9+ckNj3U98dV8QaiOCoWr9RAshRCX1Z5p9nE/6ZTNqSw4AOegBmHJrYFY2LohKo/WZHoo9+EGtK9P7lzfHIoenGg10P5G2p/wrI4JCgh8hhKgAxi3cnfdOQZtzDoAcJQSA9g18t8wEjEbvM/lh7UoAbNqQsr1/OXP0IFqq2FgmUXwS/AghRAVgstpnVkWQgy7bvr7OAcW+75bXdgwBZrYVfj5GySjT+5c3TV63lyJr+1RbEvwIIUQF4tjTy6joyCQcyP+yLismi427jFMKPG/Rhpfp/cubI5i0FhH0iapLgh8hhKhA+qu3AZCNAcc6NGW9urLRYmOn0rLA82GhoWV6//LmeJw2Xy0/B5aVb2VEUEjwI4QQFUB84xoAvKD7EoCaqiznOXVZt/zkNYHMMN/jNr3eQaP1PSC6snIEkzZFgeuecT+5+KHyr5AodxL8CCFEBdCgRsGtK2Xd8lMnwh7wvGsdSHvjh94Z1FUr+Mlf5FCB3v9yP2kzB6FGlcu6g2fYd6pyjwOT4EcIISoAi8dyw59Y8nddL8PFnQHo0awm93dvBMBno3p6Z6iiwc8bPx3idEaO27nL4Y2CUaVK46+0S4xYsIMB/90U7KqUigQ/QghRAdjygp+z0e0A2GJrU273VqlUvHZnO46+PoBrrqwNY7a7Z6hywY/9z9TMXB79LNnt3JlLxiDUqHJ4fsmeSh/0OEjwI4QQFYCj5cfRweXaDlTue1DVaeF2eKTRXeVcgbK17tBZ5/s9/7h338jkd99yzVa+3HbcOT4MQFn3Gnw9HGyVb9qcX8HPe++9R/v27YmKiiIqKoqEhAR++ukn5/nc3FzGjBlDrVq1iIiIYPDgwaSlpbmVcfz4cQYMGEBYWBh169Zl4sSJWCwWtzzr16+nc+fOGAwGmjdvzoIFC7zqMnfuXJo0aUJISAjdu3dn+/btXnmEEKKysDmDH/ufisuO48FYjsY8aiOZShgPmCZz0XBF+VcgSDRUvi/ysrbpr3PET1vtla7a8AbsXwrHKl9rkF/BT4MGDXj99ddJTk5m586d3HTTTdxxxx3s27cPgPHjx/Pjjz+yePFiNmzYwKlTpxg0aJDzeqvVyoABAzCZTGzZsoVPP/2UBQsWMGVK/voSKSkpDBgwgBtvvJHdu3czbtw4HnnkEVatWuXMs2jRIiZMmMBLL73Eb7/9RocOHUhMTOTMmTOlfR5CCBEUFo/gp2fzOs5zPqdklzFt/fa0N37EJls7LFV8QZyjtvw9vnQqaxBrUvb2/pPBvA1HyDUX/3M+8PE2sk2F5DfnBqBm5cuv4Oe2227jlltu4aqrruLqq6/m3//+NxEREWzdupWMjAw+/vhjZs2axU033UR8fDzz589ny5YtbN26FYCff/6Z/fv38/nnn9OxY0f69+/PtGnTmDt3LiaTfQ+ZefPm0bRpU2bOnEmrVq0YO3Ysd911F2+99ZazHrNmzWLUqFGMGDGC1q1bM2/ePMLCwvjkk08C+GiEEKL8OAIcR3vPw9c2dZ4L0ZX/Ngwql+n1FmvV7gzKJn/7jgtKZBBrUrYUReHW2Zt4/aeDtPzXSmdro7+e1n7Nm9p5+QmWKh78uLJarSxcuJDs7GwSEhJITk7GbDbTp08fZ56WLVvSqFEjkpKSAEhKSqJdu3bExuZH2YmJiWRmZjpbj5KSktzKcORxlGEymUhOTnbLo1ar6dOnjzOPEEJUNo4AQ5XX7aJSaXiuf0v+7/pmNK0d3BWWTVW85WeltavbsbmKft5V+1LdjnP8aP1xUGHjCe1S7tZuzE/8ehhseLO01StXfgc/e/bsISIiAoPBwOjRo1myZAmtW7cmNTUVvV5PTEyMW/7Y2FhSU+0PPDU11S3wcZx3nCssT2ZmJjk5OZw7dw6r1eozj6OMghiNRjIzM91eQghREVg9Wn5QwegbrmTyLa2CVieHqtby82w/99Ws51lv50vLjQCosXH0XHYwqlXmDqVmuR17Lq/gS4rHs4iggFaeda/C+SNgzPJ9voLxO/hp0aIFu3fvZtu2bTz22GMMHz6c/fv3l0XdAm769OlER0c7Xw0bNgx2lYQQAvAe8OwSBgVdqL5qTQyuE+m+irUZLT/argFAjUJuUTu9VlLRoe5LFhSnhevwmfxgpkPDGCK5XHDm2Z3hvWtKXL/y5PdPtF6vp3nz5sTHxzN9+nQ6dOjAO++8Q1xcHCaTifT0dLf8aWlpxMXFARAXF+c1+8txXFSeqKgoQkNDqV27NhqNxmceRxkFmTx5MhkZGc7XiRMn/P34QghRJjwHPFPGW1oUx6sD23L91XV4oEfjYFcloHQa72drU+xfhxps5Fqq5qDnHI+gbvaavxi/aDcPzd9eYCAUorM/lz6GAyxpspQtIU8WfpP0Y7DqBcg8HZA6l5VSh/M2mw2j0Uh8fDw6nY41a9Y4zx06dIjjx4+TkJAAQEJCAnv27HGblbV69WqioqJo3bq1M49rGY48jjL0ej3x8fFueWw2G2vWrHHmKYjBYHBO03e8hBCiIvAc8FwRWn4e6NGYzx7uRpi+ai1y6Gu7EGve81Zjw1hFW348x/h8mnSMJbv+Yf2hs6w76Hu2tCMo+kg1DfWOD4p3o6Q58M2IUtW1rPn1Ez158mT69+9Po0aNuHTpEl9++SXr169n1apVREdHM3LkSCZMmEDNmjWJioriiSeeICEhgR49egDQt29fWrduzbBhw5gxYwapqam8+OKLjBkzBoPB3gw5evRo5syZw6RJk3j44YdZu3YtX3/9NcuXL3fWY8KECQwfPpwuXbrQrVs33n77bbKzsxkxomI/bCGEKEhGjn1PKbWq4rT8VFVaH8GPLa8twN7tVTVbfnLNVrqqDnKWaI4q9fJSFUBV4OBnk6WE472OV+wJSH4FP2fOnOHBBx/k9OnTREdH0759e1atWsXNN98MwFtvvYVarWbw4MEYjUYSExN59913nddrNBqWLVvGY489RkJCAuHh4QwfPpxXXnnFmadp06YsX76c8ePH884779CgQQM++ugjEhMTnXmGDBnC2bNnmTJlCqmpqXTs2JGVK1d6DYIWQojKwGpTSMu0DyTVOtrjVVVrnE1Fkn7Ze/NSR/BTlbu9IjP+YrHB/n3bJPdLuqoO8p7+bT60DEBtvsrnNfaWH98BUHu+Rpt7gRd1nzNI42OhQ0WpsEG8X8HPxx9/XOj5kJAQ5s6dy9y5cwvM07hxY1asWFFoOb169WLXrl2F5hk7dixjx44tNI8QQlQGx85nk2u2EaJTo3O2SlTML42q4Lqr66DXqN2m8NvynrdKpVTZbq+4zD+c729Q/84M3fvUVmUyWfcVLP8Kunrv1G622tBj8Uqn6Q38MdzeKLF9hQm2+wh+/l4HV94UsPoHkvzXQgghguxy3uq50aG6CjXguaq6IiaUPS/3dUuzVuGWn2yjhZd/3MfZc/l7mn2qf4NYVbp7xnN/eV1rttow4N1ShkbnfNvt2r7e5wF+X1SS6paLqjWKTQghKiFHC4Req3bZyEuCn7Jk0GrY+3Iil3LNfLgxhYH1omCZPfipSi0/zy/Zw5fbjgPwtu5PKGyx8Dld4IHvoGF3MEQAYLIq6H0FPzaXADGqHsQ0ts/0cvXHQhj0fik/QdmQ4EcIIYLMZLF/2eo0alDyvnil5afMRRi0RBi0TLmtNaTZdxlQVaGWn9+OX3QGPlosDNRsKfqiz+37cWYOeJ+oGrWpdeaC75af8NruxyN+grdal7bK5Ua6vYQQIsgc04n1GjVUwEUOqwWVvUlEg63KLHI46F17sBNFFodDHvTr2qjl/wefD+aW30ZRQ5W30KEhGu75HzS9Afq+6n5B9BX8o67nntb6jpJWvcxJ8COEEEHmaPkxuHZ7yWyv8qXKH/NjrCItPwAhGNlkGFeqMpYbnre/MWZA69th+A8Q6b2o8OgaH9EidwFnwlsAkHax4m51If+6hBAiyBwtPzrXlh/p9ipfanvLj4qqNdvr37pPiFIVvCXF0mt/DNi9NGoVRvS8cdG+T9qfJ9OKuCJ4JPgRQoggM7qN+ZFur6DICzarWsvPYM2vBZ671fgq/W7oyUOWyey2XVnqezm2DTHnDSe+TrMX9v9Q6nLLggQ/QggRZGcyjQDUitC7dHtJ8FOu8sb8VOWNTR0sKj0tchfQvMO1hOg0/K7vzEDTNO41vViqcrVqe0hhcp1L9fWwUpVZVmS2lxBCBJljdef6MaGQJi0/QeEc82OtEi0/NlvB21Iozx7ls1O5dGgYA8DFvBWvt9pas8zag1s1W0t0T62z5aew+fQVg7T8CCFEkGXnLXIYYdBKy0+waEMA0KusNLz0e5ArU3pWpYDg55on0YWE071ZLUJ09iClY14QBPCGZUjBhV4/qdB7OvZMS1Nq+FXXYJDgRwghguynvacBCNNrkAHPQaILdb6dnDo+iBUJDKuvlp+pGdB3mlfyf+7uwHVX2dftOaHEclGJ8F1or8mF3lOftzHdAaWxf5UNAgl+hBAiyBwbbW79+4IMeA4Wl+CnKlBtm8dQzS/Fytu8bgT/G9mdu+IbAJBgnM0I00Ra5C7gSdMYllh78kH8j6AuPGSIDLFveWH17PayVbwxVBL8CCFEBXFt81qywnOwqCv+OJViyz6P4Zfn+bfuE78uG3ltU+pFh9CiQV3W2TphRM8Ptp6MN4/h9uu7FXm9xWWj2Hctt+efMGf7VY/yIMGPEEJUEDe1jEVWeBallrLBO+2OuUVe1qpeFEmTe/NAD+9uq7jokCKvdx07NMMyBKuS9zNsvFTkteVNZnsJIUSQ6TVqTFabfbaMDHgOGrMuEp35Er8ZutI52JUpjW9GeKd1eqDYl0eGlCw0uLdbIzQaNd8kn+T3E+k8a3mUXEXPsFMWukeVqMgyIy0/QggRRIqiOHd1d1/hWX49l7e/WzwKQIY6JrgVKY2CZnn54ebWcdzavl7RGT2E6DQM69GY78f05INh8XxjvYGUuETir2pQ6joFmrT8CCFEELnOytG5tvxIt1e5U9T2r0SVzRLkmpSQ1Qwf9Cp1MRq1ijn3d2bZH8tLXEbfNnEcfX0AWUYLWk3FC+QrXo2EEKIaMVtdgx+1DHgOIlVea1sv47og16SETu2CtL0BKy5cX/pB4BGGitnGIsGPEEIEkdllGrB9hVxp+QmW6It78g/MucGrSAkcOZvFh5uOBrTMjx/qSqOaYSwY0TWg5VYEFTMkE0KIasLi2vKjVsuA5yBSKy7dXTkXQFc/eJXxU++ZG+iuOs4oQ+DK7NGsFhsn3Ri4AisQafkRQoggMuXt6K5Vq1CrpeUnmDRWY/7Bb58VmX/RjuO8t/5IoftolQfH3nDhqhy39FSlBgdsDeHO94NRrQpNWn6EECKILpvsrQ2hjvEVzthH/m9a3o52mkitU3njfdZPh17PFZj3fJaRZ7+1d5O1qR/F9VfXKY8q+vTV9uMA1FS5r6dzjXE2NtQc7TAgGNWq0ORflxBCBFGO2b6paWjeJpMYM+x/SrdXuTPWaFHsvKcz8scE/XEyvQxqU3xv//IXAF1Uh9zSbajp3bJuMKpU4UnLjxBCBEmu2cqA/24C8mKdVS8Et0LVnMo14Iz0vc7NV9uPs+XIeY6ey9+y4WBq+a9gfPaSkWV/nOLOTlcA0EiVxr3a9c7zx0JaQy50b1az3OtWGUjwI4QQQbJqXyoAPdT7WWh6FZJcTmqL3k5ABJZaBT9ae3CbZitcOg3nj0CtK93yTP1hH0aL+0adqRnlPzPsttmbSM3M5eUf9wPQUXXEec6Chv/UmwnpF9FXwDV2KgJ5KkIIEWT/1c3xToy+ovwrUs2p1SpOKi5jd/Ytcb5Nv2zio1//9gp8ADJyzOVRPTepme4BV6zqgvP9M6b/48cDFwHQa6vQhq0BJC0/QggRJFq1/f+fOYpeJndVAGoVqPEObgBmrf6Tz5KO+Tx3NsuIoiju3WblrL7qPACbrG1YauvpTNdrpY3DF3kqQggRJNlG+0yvzbY2Qa6JAFCrVHxlvSk/Ieei8+2Ooxd9XGGXftnM2UvGAs8H2s953aWuolX2MUgbbB1wjaQl+PFNnooQQgTJmUv2rgsd1iDXRIA9+Dmq1ONd7TB7wl+rneeurBPulT+O89ym3oIGK+ZyXOvn0f8le6VFYl/jJ5tQt3QZ8+ObdHsJIUSQnMsyARDhsTgd1z0dhNoIdV63VWjuGfu347n8qeMhOu+xM1tDngAg2pyN1dqnXOq4958Mt2MNVjTYCM8Lflo1rgd/5583SMuPT/JUhBAiSByDZ/trdtgTrnsaXkqH3lOCV6lqzDFk5ydrt/xEm71VzuQx0NmAyfn+Vd18LHl7tJksNj7dcpQUl6nwgeRa7qhrm7BW/zR7DI9wjcY+6ytHFeaWX7q9fJOnIoQQQWK2egyu/Xu9LG4YRDFhOgCSlavzE3PSAe/gZ8Xwpm7Hlrxur3kbjvDSD/u4edaGMqmj42emUc0wnk9sRmP1GQyq/NlmhvBot/wS/PgmT0UIIYLEK/hRy0iEYKoXbR8vY0WDVW0PhHizGZw9hCnv76qF6jjDND9z5bk1btc6Nqjd8OdZ+3EZjQFy/MxcHRuBynTZ6/wtXa5yO5YxP77JvzQhhAgS1x3dAejzcnAqIgDQqFXUjtBzLsuExuayds/cbjStOR1ozCpD3n5f7rEPSm4mEOWcwVdWTHk/MzqNGkzeK0vXqVWba65U2HLEPvVdWn58k6cihBBBYrLa0LjO9KpT/L2lRNloXjfCZ3r7sz8SSsErOV/5aUfOpx7nxAXv1phAMud1v9mDHx/jiqIbUiNM7zyU4Mc3eSpCCBEkZquNvuqd+QmypUXQORae9GRGy81q7ynmDiEqM1uXvke2qfjLFmQZLdj87B5zdL/pNGowZnln0OoJ1efPTJNuL9/kqQghRLBYjLynfyf/WGsIXl0EYO/68uUuzUb+q59b+LWq/ECmqHHryccu0PHln5m1+k+/6vdN8kkAdBoVHPjB/eStbwHurT0y1d03eSpCCBEkXbPWuSeoZR+mYNNp7FHLzcYZfl/b7/R7zvV2tAUEUQ4Tvv4di01hzrrDxS7/+PnLHD6ThRobESc3QJLHnnCGKK97S7eXb/JUhBAiGDL+YUzGzGDXQnhwtPz8pTQo0fVPaJcWet5mUxg4dzPHzvs/NujtX+ytRCM0P/HixRe9M7S63StJgh/f/Hoq06dPp2vXrkRGRlK3bl0GDhzIoUOH3PLk5uYyZswYatWqRUREBIMHDyYtLc0tz/HjxxkwYABhYWHUrVuXiRMnYrG4j5Bfv349nTt3xmAw0Lx5cxYsWOBVn7lz59KkSRNCQkLo3r0727dv9+fjCCFE8CwYEOwaCB8KGvNTkJQ6vd2OR2t/5GjI/TykXuGe8dRuWDqGjb/9we4T6W6nLJ5LHhSgZrh9IPNdmo3uJ5reAM+dAK3e6xoZ8+ObX09lw4YNjBkzhq1bt7J69WrMZjN9+/YlOzt/xPn48eP58ccfWbx4MRs2bODUqVMMGjTIed5qtTJgwABMJhNbtmzh008/ZcGCBUyZkr+iaUpKCgMGDODGG29k9+7djBs3jkceeYRVq1Y58yxatIgJEybw0ksv8dtvv9GhQwcSExM5c+ZMaZ6HEEKUj4sp7sf6yODUQ7hZvue0X/mb1o9lc73hXukvaP4HF49hs1pZvOMYfHAD7P6cXsuup5d6t1vejByz1/W+OLbYiFF5zPK65kkIiXIeui7IWNAYpurOr+Bn5cqVPPTQQ7Rp04YOHTqwYMECjh8/TnKyfQR8RkYGH3/8MbNmzeKmm24iPj6e+fPns2XLFrZu3QrAzz//zP79+/n888/p2LEj/fv3Z9q0acydOxeTyb5c+Lx582jatCkzZ86kVatWjB07lrvuuou33nrLWZdZs2YxatQoRowYQevWrZk3bx5hYWF88skngXo2QghRfibsD3YNhIc3zfcUnalRd2qaTvk8de78OTLn3sTVPw50S1+gdx9PZC3mjK8cs5WGqjTqqS64n7C67yifa86fcaaSFcN9KlV7WEaGfYO1mjVrApCcnIzZbKZPn/wN3lq2bEmjRo1ISkoCICkpiXbt2hEbG+vMk5iYSGZmJvv27XPmcS3DkcdRhslkIjk52S2PWq2mT58+zjy+GI1GMjMz3V5CCBEUzXoBsNHajt8e/NPtf+4ieB5MaOx8P9c6kBa5C5hnuS0/w+2z4drx9j97TYZOD2KKauKzrGe/3ETMhd10UP/tdU5H/lCP4q4GnWu20kv9u/eJBt3cDu/t1giAtlfIz1RBShz82Gw2xo0bR8+ePWnbti0Aqamp6PV6YmJi3PLGxsaSmprqzOMa+DjOO84VliczM5OcnBzOnTuH1Wr1mcdRhi/Tp08nOjra+WrYsKH/H1wIIQIhb8PMr6290OllfZ+KIkzvvvGBET2LrdcDcFFfHzo/CH2m2v/s9Ryo1ZxtM8JnWR/bCt6g9pmY/Jl+/rT8WPGYEdjt/yCijltSj2a1+GFsTz4f2b1Y5VZHJQ5+xowZw969e1m4cGEg61OmJk+eTEZGhvN14sSJYFepSrLZFLb9fZ7M3OL1YwtRnfwv6Sjd/v0LuUb7asFmNGg10jVRUfjqJTqiXEHH3Pd5r/3XPq9Rl6DVrkPIWSIN9kCruC0/RrPNe5Xpnk/5zNu+QQwxYd4DoIVdiYKfsWPHsmzZMtatW0eDBvnTAePi4jCZTKSnp7vlT0tLIy4uzpnHc/aX47ioPFFRUYSGhlK7dm00Go3PPI4yfDEYDERFRbm9ROAt2fUPQz7YypD3twa7KkJUOP/6fh/nLuVw8B/7uA0LGvtqvaJCSycSlcb3dpjdmhf8vVOQv89lo8kLeq224s32yjVbCSdvfE9EHIzZAdFX+H1v4WfwoygKY8eOZcmSJaxdu5amTZu6nY+Pj0en07FmTf6Ob4cOHeL48eMkJCQAkJCQwJ49e9xmZa1evZqoqChat27tzONahiOPowy9Xk98fLxbHpvNxpo1a5x5RPA4ZkscOC1jqoRwdeLCZW5W7+TvkAfoqD4CgFWloXaE/A+9oiisDa5VnO//MEeE6Py+z/3adehV9qCnuC0/NmM2kaq89YHa3QV1rvb7vsLOr13dx4wZw5dffsn3339PZGSkc3xNdHQ0oaGhREdHM3LkSCZMmEDNmjWJioriiSeeICEhgR49egDQt29fWrduzbBhw5gxYwapqam8+OKLjBkzBoPBvrT76NGjmTNnDpMmTeLhhx9m7dq1fP311yxfvtxZlwkTJjB8+HC6dOlCt27dePvtt8nOzmbECN99r6L8XBET6nx/2WTx6kMXorq6bsY6jobMckurVyNKuicqqOdvacmnW44xomcTbIrC7R3qF5x53B7emv02bU27uVlT8B5gruJVB/mJq7BYixH8XL7A/NN35H9r631vwCqKx69vpffeew+AXr16uaXPnz+fhx56CIC33noLtVrN4MGDMRqNJCYm8u677zrzajQali1bxmOPPUZCQgLh4eEMHz6cV155xZmnadOmLF++nPHjx/POO+/QoEEDPvroIxITE515hgwZwtmzZ5kyZQqpqal07NiRlStXeg2CFuWvYc384OdSrgQ/QjjUxLs1NDoi1EdOESwPJjTho00p3Nq+Ho9efyWPXn9l8S6MacTSkNt4J7s3RzX3F+uSONVFoJgDng+794agDy9evYRPfn0rKUrRf0EhISHMnTuXuXML3gCucePGrFixosDzYA+wdu3aVWiesWPHMnbs2CLrJMqX6wJbru+FqM5++P0UrdTHvNLDDDLTqyKJiw5h79RE5x5f/nhrSEfGfvEbZ6N6UOfsVsaYnmSu/r/2k4M+hCPr4Pcvnflrkw4Us9vrgsd0eQl+SkX+Sy4CzuTShGuU4EcIwL4v01r9dK/0DF3tINRGFKak+2F1blSDLZN7g60XA2cuY3eulusSbubeXp3BEAFt7nQLfnpad/KPRoPV2qPwgk/tgvWvuafppMWwNCT4EQHn2tpjtFgLySlE9VE73ACXvNOPGGPKvS6ijKk1fPxYP5KPXeSmlnXBMZtP4z4wuqNtLx11ezmU0gGaeW+R4bTwAe80Rf5jWRoyv1IE1La/z7P58DnnsXR7CWEXE+Z7RlB0uKGcayLKQ60IA33bxKEtxjIG9fd9AB7T3W02JX+oSeZJ74ts8h/L0pDgRwRMjsnKkA+2suefDGeaBD9C2K3/86zb8YWoVjzY4Ccm9WsZpBqJoBi9Cc8J9ZEX9sK6V2Htq5CbyZnMXHq+sZaxXxYy7jW0RtnWs4qTbi8RMDlm7/+JmKw20i+b+HhTCkO6NqRBjbAg1EyI4PMcPhv+5GY+02p85hVVWFw7mJoOU6Pd03+daf/z8gW+MIzmdEYuy/ecZu75I77LaTmgTKtZ1UnLjwgYtY/JEUazjXveT2L22sO88qPsWi2qJ6PFSkvrn25pBgl8qreHV/lO3/kxGTn5WwPZvvs/7zxhtUEtPz+lIcGPCBhfa1WYrDb+TMsC4Of9aV7nhagOLmVl8b0hf5PLTy03B7E2okK4Ir7AUxuTtgAK16r3oP5nhzN9hbUbz9X4DzxRvEUURcGk20sEjNXHOlAy5kcIMKYecjv+o7Z0WVR7moK3xOin3kFjVRpDtOvd0t+w3Evf5gkQGlO2dasGpOVHBIzPlh8JfkR1l7qHKxa6t/SM6ds2SJURFUn73A/5R6nllT5Jt8gr8AE4psRxTXNZFyoQJPgRAeMr+JF1fkS1t2exV1KzOPkCE5BJOHcaXyk6I3DA1giAXlfXKcsqVRvS7SUCxuajkUdWeBbVnsrHwFSV/1sniKrpPL53inf1tmUQX1j6sHRMT1TysxMQEvyIgPE15uc/Px/ykVOIasSU7X6sUkNkveDURVQ4VjTMMN9DK/VxbtNs9Zmny/A3ubtOOFfEyJYWgSLdXiJgfHV75Zql5UdUbzZLrvP9faYX4NmjoJVVnUW+d60DecL8JD1yZ/s8f+1VtSXwCTAJfkTA+Ap+hKjujCb7mi0zzXdxXd9BEBJdxBWiuqjhseVJKrWgTqsg1aZ6keBHBIwEP0K4+/tsFj/u/gcAM1oeu+HKINdIVCTfj7mWiYkt+Hxkd6JCtLxyRxsYOBdiGkPLW4NdvSpNxvyIgLH5GPMjRHW29uAZYlT2fxc2VDJYVbhpVCuMMTc2B2D3lL6o1SqgCYz7wz6D5Nf/QMPuQa1jVSXBjwiY4rT8WKy2Yu1yLERVYLUpqLGPe4sI0Qe5NqIiU3vuD6RWww2TglOZakC+hUTAuM72uq1DfZ95/jqTVV7VESLodBq1M/i5sVVckGsjhHCQ4EcEjKPlp3GtMLo2qeEzzzu//FWeVRIiqFQqUGP/d1E7MiTItRFCOEjwIwLGEfxo1CqM547xke5NmqhOu+XRaeVHTlQfJovNGfzERYcFuTZCCAf5JhIBY8sLfrRqFaOSb6ePZhfrDU+75Vmx57SvS4WoksxWG6q8bi+V2sdKz0KIoJDgRwSMY8yP2mNGy4e6mWw3PM4d6k0oNivIrDBRTbi2/KCSX7dCVBTyr1EEjGu3l6ubNcnUVaXzjv5d/g55AOWLu4JRPSHK3T/puWjyWn4k+BGi4pB/jSJgCgp+PKkO/1Ie1REiqL7afpxvfzuJSlp+hKhw5F+jCBirTSGaLF7LeLbozL62gBeiirDaFCZ/twdAur2EqIDkX6MIGJui8Lj2e9qa9xadWbGWfYWECJKsXIvzvVq6vYSocORfowgYq1XhBvUfxctsk+AnGKw2hU1/nSMz1xzsqlRpG/8663zfpl6k/Y0EP0JUGPKvUQRMo8Of0VJ9wi3Npqh4w3wv22rd6Z5utSDK3/zNKTzw8TaGfbQt2FWp0p74apfzfZ2IvJ27Zaq7EBWGBD8iYNrtme6e0LAHb12zlW/C7qbxg/MYGvu989TGP9PKuXYC4Oud9uD095MZ5JisXJIWoIA7n2V0vn9xQCtUji5eafkRosKQjU1F2YhpBCNX8TQwoW8LVCqV2yJvly7nBq9u1ZjFZfPZXv9ZR67ZxrbnexOik1aJAqUfh+QFkH4C7nzfvuFkITJy7AGlRq3ikeuawRHHgGfZ0V2IikKCH1E2hi9zvlXl/dJXa/K/YBWZ7RUURnP+c0/LtLdQnLhwmatiI4NVpYrt7CGY2y3/uE4L0Oig26OgC/V5SY7Z3tJTKzxvF3dT3ma+0vIjRIUhwY8oGzUae6epXIMfGfMTDL4GOqfn5KcpisKFbBM1w/XOoLVaO/Cj+/HaaQAoh9eiGv69jwsgx2QFFJ5gIbzzDFxMsZ8wXS7Digoh/CH/FREBc9lQB4DtETf6PG9TwKrYv1D3n0on1ywzvsrbZZP3Mz96Ltv5/uUf9xP/6i/MXnu4PKtVIeWcO+YMdjypUtbDpVT7we4v4ecXndu26I9v4g/DIwwzL84PfADS9pVxjYUQxSXBjwgYa96P06Y69/k+b1Oceb7/7QTPfes9Ld5ksXHigvwPuaxYbd77qk38xv73YLMpLNhyFIBZq/8sz2pVOLlmKyveebyITJn2P5c+Bltmw8yW2Db8h7brRhClyvHOLy1pQlQYEvyIwEiaS6TRPoMrNsb3+BGT1YYt70dOg42lu085z205co7DZ7IY/N4WrpuxjoOpmWVfZ+HmskdLXHWeCfZXWhahmArPpNjg8oX846xU1OumoVYK6NLtPjpwFRRClIqM+RGll5sJq553HtatEeEz26n0HGfLj1plw7Hq/56TGdz/ofu6M3v/yaRlXFTZ1Ff4dNnk/qX9055U7unaMEi1Ca4cs5Vu6oOFZ3q3u3+FxlTPZylERSQtP6J0FAWW/J9bUlwN3y0/bepHOYOfZqpUZ/qIBdu98posMhusvF02urf8ZJuq4aB0mw2+vJdunzaltiqArY99Xg5cWUKIUpPgR5TO/qVwaIVbUoO6tX1mffmOts5ur0/1b/BA6BYAzmV5dy9kG6vhF285aFHAlPaUc9lkeTzzV37cy+bv5sL5I+VRtYrh1G/w50+BKUtjgMe2wNQMuHZcYMoUQgSE38HPxo0bue2226hfvz4qlYqlS5e6nVcUhSlTplCvXj1CQ0Pp06cPf/31l1ueCxcuMHToUKKiooiJiWHkyJFkZWW55fnjjz+47rrrCAkJoWHDhsyYMcOrLosXL6Zly5aEhITQrl07VqxY4ZVHlLHFD3kl1Yj13bx/RUwoker81W9fVeYUWOwlCX4CLtto4fDZLK/0DqrDvDbrPxzfvxVnXyQwWzebnn88D7M7M3fdYc5kVoOFKYvYc87c6LrildPxAXjuOMS2CUClhBCB5nfwk52dTYcOHZg7d67P8zNmzOC///0v8+bNY9u2bYSHh5OYmEhubv4vzqFDh7Jv3z5Wr17NsmXL2LhxI48++qjzfGZmJn379qVx48YkJyfz5ptvMnXqVD744ANnni1btnDfffcxcuRIdu3axcCBAxk4cCB79xZjR3FRZvpFfF3oeY3nYNCsMz7zSctP4J28mIPVphDJZT7Vvc4r2vl0Vx3ge8MUPtTP4pbN9/CsdiEGTAxQb+VWTf44rCU/r+Gf//SEqdEon9/lnNZdlhRFweZjdlqZKmj/rXu/hNGbMN+7kPXWDgVe/pftCna0fxlu/y/oQsqokkKI0lIpSsl/i6lUKpYsWcLAgQMB+y+r+vXr8/TTT/PMM88AkJGRQWxsLAsWLODee+/lwIEDtG7dmh07dtClSxcAVq5cyS233MLJkyepX78+7733Hi+88AKpqano9fZVUp977jmWLl3KwYP2QYhDhgwhOzubZcvyVxLu0aMHHTt2ZN68ecWqf2ZmJtHR0WRkZBAVJYNrS+Tda+BM/volt9dezg9jry04/2sNwHQp/7hBN5ocHueV7d6uDXl9cPsAVlRsT7nAPe8nMV63hKc0i0tV1vm7v6NWm95gvAQ2C4TWCFAt8z3x1S5+/P0UnRvF8N3jPUtekOkyWHJRQmuw558MmteNIExfwFyP49vgk77uaY2ugYftXWEWq41rX/icrSFP+Lz87rifWPhoAhq1TGsXoiyV9vs7oGN+UlJSSE1NpU+fPs606OhounfvTlJSEgBJSUnExMQ4Ax+APn36oFar2bZtmzPP9ddf7wx8ABITEzl06BAXL1505nG9jyOP4z6inOjDnG/TlBhsRcXSAz1aDE9up606hZvUvxHDJULJZaRmOSGXjpVBZau3zLyVnBtGlH4wea3Fg2BqNExvAG80AaN3d1ppnMnM5e8/thDDJX47ns7nW/3/ecjMNXMuywhvt4MZTVmdfJDb52xm/Pvfw9FN9kyKAhvehIPL7ccWH117Li04Wo2aVGrxkGkiq63xdMl9j1fNQzmsagxDv2Xx6Gsk8BGiEgjoVPfUVPsMntjYWLf02NhY57nU1FTq1q3rXgmtlpo1a7rladq0qVcZjnM1atQgNTW10Pv4YjQaMRrzx5xkZspaMqXmsl+RGoW9/xTxTFvfgdJ+CKo/FjmTlulfAGCrrRU7bVczVvs95qNfg/W0fR+lAhw+k8Wz3/7BtDva0rq+tNwVxbHhpqILBx9r8JXKnC5wy5vQYkCRG38WSlHg7EEOLvuM5YZ3AXjJPJwXl0LzuhH0aFar2EUNfncLf5/L4oj+HAC7t65hqOYI/z7/CSyA9EELiSEL1r1qv2D4Mvh9oY86uQeLbw/pyLhFcPGKG9n+2DUk/d2XqLoRECXdXEJUFtVqnZ/p06fz8ssy5TSg3L4YFO7r1qjIS1QxPvb9AnqoD9BDfQAAHWaUt9uhGrMdQtwDm1//Osszi393bsx534db+f2lvl7lCXeOfb1MIbUg0HH/pdOw6AH+ufk96p9ajSrnAjywxP9A6LfP4Mcnud4l6WXdp1yj3sfJRQ1h8oJiFWPMvUzrcytZpPvMmTbp3AvgEkvHfHev+0Wf3up8u8/WmDbqvNamRglu2QZ2uoKBna5wHvds7nt2oxCi4gpot1dcXBwAaWlpbulpaWnOc3FxcZw54z7I1WKxcOHCBbc8vspwvUdBeRznfZk8eTIZGRnO14kTJ/z9iMKTS/DzrfUGxtx4ZdHXuHSVFUZ16bTXNHqAYR9vdwY+kN+iIQpx+QIDNw7gOe2XtDZ6bytSHIqh6Na1K1Y/hmrfd/D3erjg/xR55Rff/zlJ1OzkLuOS4hViNaN9rzvv6N+lpqpk3XHRqmymNPgEbp4GPceVqAwhRMUV0OCnadOmxMXFsWbNGmdaZmYm27ZtIyHB/r+nhIQE0tPTSU5OduZZu3YtNpuN7t27O/Ns3LgRszn/S2316tW0aNGCGjVqOPO43seRx3EfXwwGA1FRUW4vUUp5wc+31uuYZbmLGmH6Ii4AujzMMV3TovOBfQHF3V+CxVhotr3/ZBSvvGrK+sdiahj/YbR2GR0y1hR9AUCXkc63Fl0kqsknoEHXYt/z9xMX/a0mGTZD4ecvmyhyjkb6cTQZx/2+tysdFvr1ugF6PimztoSogvwOfrKysti9eze7d+8G7IOcd+/ezfHjx1GpVIwbN45XX32VH374gT179vDggw9Sv35954ywVq1a0a9fP0aNGsX27dvZvHkzY8eO5d5776V+/foA3H///ej1ekaOHMm+fftYtGgR77zzDhMmTHDW46mnnmLlypXMnDmTgwcPMnXqVHbu3MnYsWNL/1RE8eUFPz9aE1A0esL0BUwVdhUSzQ2X/l38eyx9DGa1AnPBA1VW7St4rJeAs5aCW9su3bUQ5WaX3cu1IdD3Vbh1FjzwLdRqjnbYN/Zzw5YW+54Tvt5ddKbUPbD+DRRTNscPbCfGeKrQ7PHTVvLu+iJalLSFB1DFkaWJ5hrpzhKiyvI7+Nm5cyedOnWiU6dOAEyYMIFOnToxZcoUACZNmsQTTzzBo48+SteuXcnKymLlypWEhOT/7+mLL76gZcuW9O7dm1tuuYVrr73WbQ2f6Ohofv75Z1JSUoiPj+fpp59mypQpbmsBXXPNNXz55Zd88MEHdOjQgW+++YalS5fStm3bEj8MUQJ5wY8NFdGhelR+7Fx9UrF/uey2FaOr7PJ5OLHNaxVih7OXCm8Zqo7WHTrDhxv/5vCZLM4YCxje98gaItv2R9XzSXh8GyROh8kn4Zq8qdzN+8ATydCoh/3YEMH/DB5jZYZ+C3HeyxKsMUy0zwhzdGX9kwzZ590zzbsW1r+G6rX6NFp0c5GfSaNYefuXwnecz8wu3WjubEI5d9OsUpUhhKjYSrXOT2Un6/wEwHvXQtoeHjBNJq12Aqsn3FCsy+6Ys4mjJ//hKtVJdiotaKQ6w8a7NJA8H07tKvC6vzo9z4mdK1Cj8JD5Wb5puoysk/t42DyRFeNukM1Q8+SYrLSastJ5/FzjQ4xO8xhPU6MpPLXb77KHvrOcLy7eD8Dp5kP45crneeDYC6gOLiv4ogd/gM9uh5Bo+8rHNiuc2W8Pfnz4s/lIrh46Ew78QM6ZFELXvwRA69xPuEwIR18fUOCt/vXxUqadGO6V/qRpLJdj4/lIPwtqNwe1DvZ4LMr5xG9Qsxn4EcQLIcpfab+/q9VsL1EGXFp+YsIKnpbuafItrbj3gwx2Ki0BOK7EQvwA6DgUptmnM79uvpfndO5Tj6/a9RpX5fWsHW73Ddr934EG+lu38+Xs1dw57Ck6tSy6JWl7ygW+TT7J8wNaER1a/HpXFicvXnY73n/iPHgOxxr0ASUSXoubU2dwX+TvzNp7I1l79zEocgvhhV2zYqL9z9y8sVm/TIUt/y0we26nkfYApPUdhLYwQ17wo8VCjYJ+zi6lgUqNRpX//7k3zPeSrFzN1GH9MOy18MYdbUE/yH7SZoVaV4I+An62L7eAIVICHyGqAQl+ROnkBT8KKvTa4veiRhjcf/RGXZc3AFqj5cTDuxn07hbOEsNfyhV8rJ/pswzt/u+c7+fq7V+k27/ZC7c9Cukn4IaJBd7/nvfti2Eu2nmC36f0JdqPwK0iUxSFmT//yZx1hwHoqjrIQ9qV7LO5DDAf+B60H1LwVg5FaFY7gs2HG/BKZgNnWrj5QuEX6T1Co0ICH4AGcS5reKnzf1a02DBZfTRWW4ww82r7tW3s09uztDF0uGsqg+pEcFVsJG+28rhGrYFez8GFv92DHyFElSe7uotSyTHZZ+TZFDWbD58vIne+EJ37F2+T2vlfjnXqNeIsMQCsscX7VZ9ulmT7DLF1r8Lp34t1zcIdpZsZVJEkHTnvDHwAFhteYYBmO5N09kUlL8V1h473lzjwAbD42G/rghIBwN+2Apaa0LrMmLIWvjTBubArqVnLZbCxSuVcTHOz4Ulyjbnee3657BGncmyfotLQr209ripgJ3unGk3hypugzZ2gCy08rxCiSpDgR5TKqYvZgL3ba8Zdxd+Ly+DRSjS4c34rQohOg+sOAZPMo0pWufevhxyX6dYWk89sJy96DJC9lAonk33mrej2n84EFB7V/Mhg9Uav85Gp27wv8tO4Pld5pQ0zPc8yaw9GmCf5vuj4lvz303zPonpC8y8YtY7az+zwPpnXwhiqMnE45EH+njck/5w5F+a4TMHPGzOmqIvZsK1SwbAlcPeC4uUXQlR6EvyIUlFh/x94iE7DPV0aFvs615afCIPWqyVo0f8l0LFhDABfW29ksPJmySq42j5WhFUv2PegOm+fJt08NIs2qhQAjl1wHx/DzBbw0U3FbjmqSM5cMnK7OonndV8xU1+8DX79FRtlH3C89+VEXrmjDTte6MM+pQljzU9yTImDtneVqNz/PH43XNG5WK1Szc+syj84+itY8gPYkdkfARBpTPO8TAghAAl+RAnNWHmQJs8tR50X/Ewd2M6v6w26/B+9rk28dwTv2qQmS8f0ZGJiCwDSfTfaFElxzEBKmgPmbJjdmW/XbuEX5VGWG17gY92bHDp8mAvZJvu+Upfzx66kJP9cspsGUZbRwv9pfyw4w40vBuxeEQYtDyY0oU6kgQd6uGxrMvA9+L9fsV3Zu9hlrW/5EoZavrc9KdCiYfC/QfBFyYItIUT1JcGP8Nu5LKNzoTk19u6IxrUi/CojRJv/v/vC9gOrHWGfopSt5I8ZSR66F0b8VKz7GBte55XWdf2Dzve9NbvYpn8MzacDYNEDMCN/YPD/ko6RmuFjl+8K7OvtR/P3pPLU9IZCB4GXxshrm9GsTjiPXNsUtHqo1x71A98y2zKwyGsP2hqidHzA/5se+AGOFHO1aiGEcCGzvYTfXFdTVudNK9Zq/PtR0mnyB/UUNkssPG9WWCq1mGAazXmimRgWBVdcA8+dsO/6/ucqsORi/H48Bpt7F1bIoaX2hfZcNFKf9bpP9Jnt4L7lHCEYSTt5mLgtn8O29yAiDh5cCnU9pw1VHDUVH9t8tL0LEl+DyFjvcwHStHY4a5/u5Z6oUrHW2okntEsLvXalrStPXl2n8BtEN4JSblkhhBAO0vIj/HbwtH02TX3O0UB1zp7o59ooritBx0YVvHdSvej82Tff2a5ng60DkSF5gVZIlH12TpuB0OFeNLe/5VcdijJJ9zUdFve0Bz4AWamw8rmA3iMgHOuUHktie8gY7/O3zirTwKcwT9xzS6Hnv7dewyL6olYX8fMz/PsA1koIUd1Jy4/w2z/pOTRQnWGTYVx+osr/OHreA/GkZuTQql7Bq3O2uyLaK61hDd/7VGlDvfMG3N/reeWFsXyju5XHel1FYptY6seEcuRsFmF6LU1rF7rUX+Dt/S5/AcHL53znCSmH51KAmzpdDYXFLYM/4nMff8deajYr9PSftiu4Wv2Pf5UTQlRbEvyI4lMU2P4Bt5xO4hPDEvdzJQh++rUtYE0YF3qtmsP/7s+wj7eT9Pd5Pnu4W8GtBJ4L6ZWRKbr/oTVbeGPlbbyx8qDbuWl3tGFYQpNyqQcA34wov3sF2qQU7girGZCiHjE/wy/6iehVLnu/jd8XkLKFEFWPdHuJ4jv0E/w0ibuMS7zPlSD4KS6tRs38EV35/aW+XF/Y2JDGPSF+BOgjSK3VrczqA/CcdqHP9GnLDpCRU/giftXaNU+QfeenWJ78A/wNfCb+7TM5ydqa95+8C+tkjx3hoxv4zC+EEBL8iGI7vPr9gk/ayvYLP0SnKXoPLrUGbnsbnv+HOt3vLTyvi1uNrzrff2a5mZRbF2FqcE3ht1IpfDWqBwse7ECHhjH0aWUfU2Oy2uzT5stD5qnCz9duAQ98V3ie8tDqdvufnR+Evq8S3mEg2pp+TmsHCK/F/xJ/J8naGoCZ5ruYbRnIk+axtIyLJDTE4H1PIYTwQbq9RJEUReHFT3/i3+fXF5wpN7Pc6lMcmk73w4oJBWe490tYaN+ZfNHUx/hy9x20rBfJg43y1hzSpcPJvFWJm1xnX0jPQ0LSo3D4F3oBjD7HE6/PYW9WJJdy8wJBU7Z953Ct546iAbLk/wo/P3Z72dzXX3fOs2+p0axXqYtSq1U8aH6OuuaL/EN+K6DKc8B9zaYIIURBpOVHFOlURi7XHZlVeKZQ74UKg0oXCqPWgqGAwdRX5O8ZFm7Qcn/3RnRu5PIZ2gyCq/vBza/AQ8t8l3H4l/z302oz2zyVdYan+df3+8CYBa/Vh9n+7U3mlxTv7SsALkU0hfH7y+6+/tKHQ4v+Adk3S6tWYUbrFvi8NaRDfoYHvoNOD8D1BWyzIYQQSMuPKIa9/2TQQOW9Ng5X94Mej8HFo1Cv+Pt6lZsr4mHyCTi4HNZPt691k3kaGnSByDh46veCgyOtHu5flH/8wHew+CEwFt3C9fuJdIwnd2OAMlub5uTFyxQ0oiVswi4oaup4JXUoNcvt+OjrA9wzNO9tfwkhRCEk+BFFOpWeQ6O8lZzd3PVJuc2wKpWWA+wvTzWaFL+M5r3h2WPwStEtXLsNo8hJn4NzBIrNWqpd1D0ZzRZ+nPkoj/n413sw4T+0rKKBD0D65XIaTyWEqNIk+BEAnM8yYrEp3gsO/pNMyLlTZOAjyNGWvhujUlGr7Wvm5PpYRdlFjCobfnSZgr7iGbg1AAswbn0Pdn/BqktX85iP/bvS1HVp0feR0t9HCCGqOBnzI7DZFHr9Zz03vLkuf7AugPESfHgT9+16ALPi0nJRsxlMSrEHA9XNUx47vV+VWPQ0/52fQHoAur9WPgepe7g9+1ufp2Pr1PUe+FvFXHtVbef7Nwb7t5muEEI4SMuPYO3BM1zKtS8O1/GV1Ryc1g+dRg0Z+SvmdlDbNzJl8MfQdrDf21lUGaE14Jon4J9dMGyJfWzQ1GKsUGzO8e8+5w7bW5gaxMNfqwvfudwxG+2aJ/27RyU0sOMVRIfqqBsZQrsGwVu5WghRuUnwU00pisKDn2xHpVKx8c/8wcxWm8LGP8/Su1Usmb+8gWM4cJQq78tbo6u+gY9D31fdj/vPsLfKxDSyD/725e8NgArqXA3bPoCfJsKEAxBV33f+OXmzxMbvLzzwAftg7AtHoE5Lfz5FpaRWq+jdKjj7lAkhqo5q2G8hAH7am8qvf51zC3x0WOiiOsjTn67jVHoOlw5t8L5QLfGyl+7/B1MuwFO/c0+9lfzHfLd3np8mwtyuGM0W+3uAWa3sW4asfN4eEDk4NioFOLqp6Ptr9fad5qt7UCqEEMUk32TVkfESN3/XnqMh9pkzNxhn8ULIN/RVtjizTHpzJw9rwkB13v3ayx7Hwi4v8Jj3QDydp10gBwP/0n3ula3flAWsc1mImLfb50+H7zQUdGH8+4ddvOA4v+TRgu/Zewq0vC0g1RdCiOpEpSiu/82sXjIzM4mOjiYjI4OoqIJ3Fq/0Ll+wj1XJOAHhdWFmC8hNL1lZidMh4fGAVq8qsdkUmj2/AoCjIff7ff2FqFbcdGYcu0MKX73ZElIT7XMpJaqjEEJUdqX9/paWn6ru6Cb49DZQfKzTUxLthwSmnCpKrVYRGaJ1DiD3V83MA1yl+qfIfNrcCyUqXwghhAQ/VYvN5j39PPnTwAU+AOG1AldWFZX84s0cSr0EH5Xs+sWGVwJbISGEEG4k+KkKDq+xb71giIJRa+D8Ebh02r73056vS19+mzshdS9cP7H0ZVUDeq267KdhdxxatuULIUQVJsFPZaco8Pkg+3tjpn08T0nd+hYsG++dHtMY7l5Q8nIF6eoYYmzppS+o3+tQr4PbxqxCCCH8I8FPZWcxlvza0ZthXs/844gC1k+xlWz8SrU35HPY9QVc/wwxV8RD9llYPgEuHoOb/gVf+pgSX5CbX4G6reHKmwK6T5gQQlRHEvxUcmcvnKeOH/mXW7ux3taRbrXN3B3X1v3k1f2g9R2w/3v39HB/7iCcWt1mfzlE1LUHRA5P/Q4hMfBGY9/X3zwNelb9VZuFEKK8ySKHldjKvak8/vZCv66Zb+nHSl0fbhj5uvuJB7+3tyjc9l/39HZ32xfxE4FXowmExthbdTy1HQw9ZEkBIYQoC9LyU9nYrLD0MVAU3t/Zhvf1/y36GhcTb2pItz598zfAHL8Pzv0JzXrZj0Nj4P82wvvX248Hl3DKkii+nk/Z9/H6dWZ+2l2fBK8+QghRxUnwU54yTsLebyHzFMS1g04P+F/G3u/gj0UALDEUkdeH7p06uW+DEN3A/nJVrwM8fQg0ev9vIEqm9xQ4sd2+QWmYLCcghBBlSYKf8vS/O+2tLA4Nutk3ugRI+RXWvAK3zrIHRmCfyZW2F2pfDVp7pJN14RQRxb3fjS/Aun8D0M/4OlNuqME1ta8q3rWRccW9iwiUB7+Hg8ugYfdg10QIIao0CX7Kgs0Gl8/ZB7jmXARjFsQ0dA98AOZ2hf/7Feq1h09vtafNuxbuWwiNe8IniXBmvz39kTWY4jqzeFcqIzzvd+VNcGStdz1umARqDZcjGjJOdx3dW0tAU6GpNfYB50IIIcqUBD9lYeVzsP19uOFZ2PCGPc3RmuMhe/9K9m1YRjfXxK/u9c74UW9+Db+VEdnLvM/dt8i+szfA9Ib29X4crnuaMKBfST6HEEIIUQVJ8FMWtr9v/9MR+ACk7vGZNfzXf7sHPoXo7SvwgfzARwghhBBFkqnuAXbmUm5wKzDkf6ANgdtnB7ceQgghRAVV6YOfuXPn0qRJE0JCQujevTvbt28Pan3qRJRgClYgNesFk/+Bzg8Gtx5CCCFEBVWpg59FixYxYcIEXnrpJX777Tc6dOhAYmIiZ86cCVqdVK7TyINFI72ZQgghREEqdfAza9YsRo0axYgRI2jdujXz5s0jLCyMTz6p4AvEhdctOk/9TjDow6LzPbal9PURQgghqpFKG/yYTCaSk5Pp06ePM02tVtOnTx+SkpKCWDMgrn3h5yf+5Z12y3/y30ddAaPWQft7oMtI32XENIL4ERDbpuT1FEIIIaqhSts/cu7cOaxWK7Gx7juRx8bGcvDgQZ/XGI1GjMb8XdAzMzN95iu1RzfAj0/Ars8LzvPYFtj9JSSMgaj69rQVz9j/1OjzV2G+dRZE1YO1r7pfP8737DEhhBBCFK7StvyUxPTp04mOjna+GjZsWDY3UqvhjrmF54ltA4n/zg98AGo2s//ZZqB73uuecT/u9wZCCCGEKJlKG/zUrl0bjUZDWlqaW3paWhpxcb5XMp48eTIZGRnO14kTJ8q2kvU62v+s0aR4+Uf8BAPnQa/J7ukqFehdNrXoMToQtRNCCCGqpUob/Oj1euLj41mzZo0zzWazsWbNGhISEnxeYzAYiIqKcnuVqXu/sI/ZuX8xXNnbntb0hoLzR8ZBx/uc+3i5iX/I/ucV8QGvphBCCFGdVNoxPwATJkxg+PDhdOnShW7duvH222+TnZ3NiBFeu18FR3QD+5gdgMEf2Xd0bzu4ZGX1ngINukLT6wNXPyGEEKIaqtTBz5AhQzh79ixTpkwhNTWVjh07snLlSq9B0BVCWE3oNqrk12sN3mOBhBBCCOE3laIoSrArESyZmZlER0eTkZFR9l1gQgghhAiI0n5/V9oxP0IIIYQQJSHBjxBCCCGqFQl+hBBCCFGtSPAjhBBCiGpFgh8hhBBCVCsS/AghhBCiWpHgRwghhBDVigQ/QgghhKhWJPgRQgghRLUiwY8QQgghqhUJfoQQQghRrUjwI4QQQohqpVLv6l5ajj1dMzMzg1wTIYQQQhSX43u7pHuzV+vg59KlSwA0bNgwyDURQgghhL8uXbpEdHS039eplJKGTVWAzWbj1KlTREZGolKpAlZuZmYmDRs25MSJE0RFRQWsXFEweeblS553+ZLnXf7kmZcvf5+3oihcunSJ+vXro1b7P4KnWrf8qNVqGjRoUGblR0VFyT+acibPvHzJ8y5f8rzLnzzz8uXP8y5Ji4+DDHgWQgghRLUiwY8QQgghqhUJfsqAwWDgpZdewmAwBLsq1YY88/Ilz7t8yfMuf/LMy1d5P+9qPeBZCCGEENWPtPwIIYQQolqR4EcIIYQQ1YoEP0IIIYSoViT4EUIIIUS1IsFPGZg7dy5NmjQhJCSE7t27s3379mBXqVKaOnUqKpXK7dWyZUvn+dzcXMaMGUOtWrWIiIhg8ODBpKWluZVx/PhxBgwYQFhYGHXr1mXixIlYLJby/igV0saNG7ntttuoX78+KpWKpUuXup1XFIUpU6ZQr149QkND6dOnD3/99ZdbngsXLjB06FCioqKIiYlh5MiRZGVlueX5448/uO666wgJCaFhw4bMmDGjrD9ahVTU837ooYe8ft779evnlkeed/FNnz6drl27EhkZSd26dRk4cCCHDh1yyxOo3yHr16+nc+fOGAwGmjdvzoIFC8r641VIxXnmvXr18vo5Hz16tFuecnnmigiohQsXKnq9Xvnkk0+Uffv2KaNGjVJiYmKUtLS0YFet0nnppZeUNm3aKKdPn3a+zp496zw/evRopWHDhsqaNWuUnTt3Kj169FCuueYa53mLxaK0bdtW6dOnj7Jr1y5lxYoVSu3atZXJkycH4+NUOCtWrFBeeOEF5bvvvlMAZcmSJW7nX3/9dSU6OlpZunSp8vvvvyu333670rRpUyUnJ8eZp1+/fkqHDh2UrVu3Kr/++qvSvHlz5b777nOez8jIUGJjY5WhQ4cqe/fuVb766islNDRUef/998vrY1YYRT3v4cOHK/369XP7eb9w4YJbHnnexZeYmKjMnz9f2bt3r7J7927llltuURo1aqRkZWU58wTid8jff/+thIWFKRMmTFD279+vzJ49W9FoNMrKlSvL9fNWBMV55jfccIMyatQot5/zjIwM5/nyeuYS/ARYt27dlDFjxjiPrVarUr9+fWX69OlBrFXl9NJLLykdOnTweS49PV3R6XTK4sWLnWkHDhxQACUpKUlRFPuXjVqtVlJTU5153nvvPSUqKkoxGo1lWvfKxvPL2GazKXFxccqbb77pTEtPT1cMBoPy1VdfKYqiKPv371cAZceOHc48P/30k6JSqZR//vlHURRFeffdd5UaNWq4Pe9nn31WadGiRRl/ooqtoODnjjvuKPAaed6lc+bMGQVQNmzYoChK4H6HTJo0SWnTpo3bvYYMGaIkJiaW9Ueq8DyfuaLYg5+nnnqqwGvK65lLt1cAmUwmkpOT6dOnjzNNrVbTp08fkpKSglizyuuvv/6ifv36NGvWjKFDh3L8+HEAkpOTMZvNbs+6ZcuWNGrUyPmsk5KSaNeuHbGxsc48iYmJZGZmsm/fvvL9IJVMSkoKqampbs83Ojqa7t27uz3fmJgYunTp4szTp08f1Go127Ztc+a5/vrr0ev1zjyJiYkcOnSIixcvltOnqTzWr19P3bp1adGiBY899hjnz593npPnXToZGRkA1KxZEwjc75CkpCS3Mhx55He+9zN3+OKLL6hduzZt27Zl8uTJXL582XmuvJ55td7YNNDOnTuH1Wp1+0sDiI2N5eDBg0GqVeXVvXt3FixYQIsWLTh9+jQvv/wy1113HXv37iU1NRW9Xk9MTIzbNbGxsaSmpgKQmprq8+/CcU4UzPF8fD0/1+dbt25dt/NarZaaNWu65WnatKlXGY5zNWrUKJP6V0b9+vVj0KBBNG3alCNHjvD888/Tv39/kpKS0Gg08rxLwWazMW7cOHr27Enbtm0BAvY7pKA8mZmZ5OTkEBoaWhYfqcLz9cwB7r//fho3bkz9+vX5448/ePbZZzl06BDfffcdUH7PXIIfUWH179/f+b59+/Z0796dxo0b8/XXX1fbXyii6rr33nud79u1a0f79u258sorWb9+Pb179w5izSq/MWPGsHfvXjZt2hTsqlQbBT3zRx991Pm+Xbt21KtXj969e3PkyBGuvPLKcqufdHsFUO3atdFoNF6zBdLS0oiLiwtSraqOmJgYrr76ag4fPkxcXBwmk4n09HS3PK7POi4uzuffheOcKJjj+RT2sxwXF8eZM2fczlssFi5cuCB/BwHQrFkzateuzeHDhwF53iU1duxYli1bxrp162jQoIEzPVC/QwrKExUVVW3/k1bQM/ele/fuAG4/5+XxzCX4CSC9Xk98fDxr1qxxptlsNtasWUNCQkIQa1Y1ZGVlceTIEerVq0d8fDw6nc7tWR86dIjjx487n3VCQgJ79uxx+8JYvXo1UVFRtG7dutzrX5k0bdqUuLg4t+ebmZnJtm3b3J5veno6ycnJzjxr167FZrM5f6ElJCSwceNGzGazM8/q1atp0aJFte2CKa6TJ09y/vx56tWrB8jz9peiKIwdO5YlS5awdu1ar+7AQP0OSUhIcCvDkac6/s4v6pn7snv3bgC3n/NyeebFHhotimXhwoWKwWBQFixYoOzfv1959NFHlZiYGLeR66J4nn76aWX9+vVKSkqKsnnzZqVPnz5K7dq1lTNnziiKYp+m2qhRI2Xt2rXKzp07lYSEBCUhIcF5vWPKZN++fZXdu3crK1euVOrUqSNT3fNcunRJ2bVrl7Jr1y4FUGbNmqXs2rVLOXbsmKIo9qnuMTExyvfff6/88ccfyh133OFzqnunTp2Ubdu2KZs2bVKuuuoqt6nX6enpSmxsrDJs2DBl7969ysKFC5WwsLBqOfW6sOd96dIl5ZlnnlGSkpKUlJQU5ZdfflE6d+6sXHXVVUpubq6zDHnexffYY48p0dHRyvr1692mVV++fNmZJxC/QxzTridOnKgcOHBAmTt3brWd6l7UMz98+LDyyiuvKDt37lRSUlKU77//XmnWrJly/fXXO8sor2cuwU8ZmD17ttKoUSNFr9cr3bp1U7Zu3RrsKlVKQ4YMUerVq6fo9XrliiuuUIYMGaIcPnzYeT4nJ0d5/PHHlRo1aihhYWHKnXfeqZw+fdqtjKNHjyr9+/dXQkNDldq1aytPP/20Yjaby/ujVEjr1q1TAK/X8OHDFUWxT3f/17/+pcTGxioGg0Hp3bu3cujQIbcyzp8/r9x3331KRESEEhUVpYwYMUK5dOmSW57ff/9dufbaaxWDwaBcccUVyuuvv15eH7FCKex5X758Wenbt69Sp04dRafTKY0bN1ZGjRrl9Z8med7F5+tZA8r8+fOdeQL1O2TdunVKx44dFb1erzRr1sztHtVJUc/8+PHjyvXXX6/UrFlTMRgMSvPmzZWJEye6rfOjKOXzzFV5FRZCCCGEqBZkzI8QQgghqhUJfoQQQghRrUjwI4QQQohqRYIfIYQQQlQrEvwIIYQQolqR4EcIIYQQ1YoEP0IIIYSoViT4EUIIIUS1IsGPEEIIIaoVCX6EEEIIUa1I8COEEEKIakWCHyGEEEJUK/8P/EDKeVVgIPMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "MAE distance between original and restored 1.3e+03\n" + ] + } + ], + "source": [ + "res = model.restore(shape=seq.shape)\n", + "res = res.cpu().numpy()\n", + "\n", + "plt.plot(seq[0])\n", + "plt.plot(res[0])\n", + "plt.legend([\"original\", \"restored\"])\n", + "plt.show()\n", + "\n", + "mae_dist = np.abs(res - seq).mean()\n", + "print(f\"MAE distance between original and restored {mae_dist: .1e}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Forecast for 400 days" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "horizon = 400\n", + "forecast_res = model.forecast(horizon).cpu().numpy()\n", + "\n", + "new_date_range = pd.date_range(start = history.index[- 1] + pd.Timedelta(1, unit=\"day\"), periods=horizon)\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(history.index, seq[0])\n", + "plt.plot(new_date_range, forecast_res[0])\n", + "plt.legend([f\"Historical\", f\"Forecast for {horizon} days\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Forecast for 1200 days" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "horizon = 1200\n", + "forecast_res = model.forecast(horizon).cpu().numpy()\n", + "\n", + "new_date_range = pd.date_range(start = history.index[- 1] + pd.Timedelta(1, unit=\"day\"), periods=horizon)\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(history.index, seq[0])\n", + "plt.plot(new_date_range, forecast_res[0])\n", + "plt.legend([f\"Historical\", f\"Forecast for {horizon} days\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Forecast for 2 500 days" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "horizon = 2500\n", + "forecast_res = model.forecast(horizon).cpu().numpy()\n", + "\n", + "new_date_range = pd.date_range(start = history.index[- 1] + pd.Timedelta(1, unit=\"day\"), periods=horizon)\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(history.index, seq[0])\n", + "plt.plot(new_date_range, forecast_res[0])\n", + "plt.legend([f\"Historical\", f\"Forecast for {horizon} days\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Forecast for 10 000 days" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "horizon = 10_000\n", + "forecast_res = model.forecast(horizon).cpu().numpy()\n", + "\n", + "new_date_range = pd.date_range(start = history.index[- 1] + pd.Timedelta(1, unit=\"day\"), periods=horizon)\n", + "plt.figure(figsize=(12, 6))\n", + "plt.plot(history.index, seq[0])\n", + "plt.plot(new_date_range, forecast_res[0])\n", + "plt.legend([f\"Historical\", f\"Forecast for {horizon} days\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.10.11" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +}