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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Causality // Collider variables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Basado en curso: \n",
"https://www.youtube.com/watch?v=eBij0BFc-RM&list=PLcTBLulJV_AKmUTH-nUsxxFyRQoWnUzxU&index=1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's say we are comparing relation between `programming_skill` and `social_skill`. We go to a tech company and interview people. That tech company hires people if they have good programming skills or social skills, or some mixe of boths.\n",
"\n",
"For some reason we know that there is no relation between that 2 variables. But we have been controlling by the company that is hiring (that is a collider variable). In this notebook we'll demonstrate that controlling a collider variable will lead us to an error. In this case, we'll find a negative correlation between variables, when in reality there is no relation."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(42)\n",
"s1 = np.random.normal(0,1, 1000)\n",
"np.random.seed(43)\n",
"s2 = np.random.normal(0,1, 1000)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"df['programming_skill'] = s1\n",
"df['social_skill'] = s2"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"df['hired'] = np.where(df['social_skill'] > -df['programming_skill'], 1, 0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"\n",
"for name, group in df.groupby('hired'):\n",
" if name == 0:\n",
" ax.plot(group['programming_skill'], group['social_skill'], marker='o', linestyle='', label=name, color='orange')\n",
" else:\n",
" ax.plot(group['programming_skill'], group['social_skill'], marker='o', linestyle='', label=name, color='purple')\n",
"ax.legend(title=\"hired\")\n",
"ax.set_xlabel('programming_skill', \n",
" fontweight ='bold')\n",
"ax.set_ylabel('social_skill', \n",
" fontweight ='bold')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"# Now we are going to control for variable `hired`\n",
"# This will mess up our analysis because `hired` is a collider variable"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([-0.5138107610868928, 0.5398311695637361],\n",
" [-0.5585887946547096, 0.5522262659478773])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Now we're going to find:\n",
"# X_exp = Part of X explained by W\n",
"# Y_exp = Part of Y explained by W\n",
"\n",
"X_exp = []\n",
"Y_exp = []\n",
"\n",
"for w_value in set(df['hired'].to_numpy()):\n",
" X_exp.append(df[df['hired']==w_value]['programming_skill'].mean())\n",
" Y_exp.append(df[df['hired']==w_value]['social_skill'].mean())\n",
"\n",
"X_exp, Y_exp"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"for name, group in df.groupby('hired'):\n",
" if name == 0:\n",
" ax.plot(group['programming_skill'], group['social_skill'], marker='o', linestyle='', label=name, color='orange', alpha=0.5)\n",
" else:\n",
" ax.plot(group['programming_skill'], group['social_skill'], marker='o', linestyle='', label=name, color='purple', alpha=0.5)\n",
"for w_value in set(df['hired'].to_numpy()):\n",
" ax.axvline(x=X_exp[w_value])\n",
" ax.axhline(y=Y_exp[w_value])\n",
"ax.legend(title=\"hired\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Now we are going to close the back door for W computing the residuals\n",
"df['programming_skill_res'] = np.where(df['hired']==1, df['programming_skill'] - (X_exp[1] - X_exp[0]), df['programming_skill']) \n",
"df['social_skill_res'] = np.where(df['hired']==1, df['social_skill'] - (Y_exp[1] - Y_exp[0]), df['social_skill']) "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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R/4k2Bv/rM1AvoUfi2KzFtmJsvUBWeLFF2MLJAtHWKA27sRDEVV2lOlVl9duvbNrLzW6tELT731osl2rl55djOwGLWBw8298B+b0w+QNof+dlDXo4X8OSqqv0P9rP9se2L+1YztNklD2iMPjPz6Cveet5A6G5uYmBX4bMUx6FCUhuDLH1kxcOkhdTWiR7kjTsBrkDuYXjtws2iqZccbngVlR23Kx3IAFBaeX65ezgaXScLrGcFcQv9gFdloal88wYzTwbR4+UzgmEe/56D7FkhcL+F0h2qvS/O465Og/1b0P3JuD8geNigxXe+jtvZfAzg6Q3pymPlalMVZA1mbf9wduuOBDdaoMcbvY7kFudYLHzMnkjJHDZfVl2/mWBJ/+oiZ2PQ/bw3A/Os8h5qVmPy+KVcp4Zo4WxOnpT/IzHHNvh+NPHsUYPkujQsCoGg/8gkx26hNKGiyst5n+H9IY0qbUpNn9kMx/8xw+y+UObl/47XMb+bkauS3O3gGUjyMgvgzciq1nYh5sk0WpjFXUGPw8Dvwxm37mLnEspEVx1vbR7hyjzgLiYNAok28DiNoxFT8vuzWK0GBhGAdQExlzCm/kBmB+/iNKGS985LHfN97qzVlhhbrU7kFuNICO/DN6IrGZhH12bkHwLI2qjx30y37POO6B5RZo/zrbBhXMGMvf/u5/BtmJY4yP44zuxDn4T69QY5iZNBHuvJo5Fr1A4Pg7H/xHGn4Fnf/q81rorMXXnYrzR+7vW3Gp3ILcaQUZ+GbwRWc3CPmQD0vdC8SC6XqAwmTzvIueyuy9eQKHCpk+R5eNkvvYshUMHSaa/xoZNPlOZKoWZFpKdMda8pYZSfRWa1kPpEDhV7NwMyZQFziyE26B0HNTowjYX/z5vtNLiVlJ23Gp3ILcaQSC/DN4Iy9oz9mG0g9GOnbdI9hjnVaos+QO6VB34BWxwsz94gsGv9KB7r5FocrCmLQ4fKTPwgVcw794CTZvJHg4z+HcSTE2irxrAPvo0dlll69uPi4tCuAVcC4qHQFJg8Jeg66fPPJbzHGd2pO2cxVwgUGBcBoG2/OYmmNl5CRYrQpSQQnGsSGpNasVc5a7Eue6SsrLFWfZcjZt6/vwyxt0fE0FXWlR18z12/o8SlpXECE+DPQWyipWvYkRrbP/Zl0RANkyyhzwy356kMGuSNPbRv93GXHUMwiZIEtnDkNlpUJjtJJnO0/+2AmbXEJjvEjLLsW+ccZzZ1ysMfude9PaOhfcjfywPEit6HgICrkeCmZ1XwNmLm3bBBh/curv0ZppF21pKBnklmdMlSwSXM2ziAp2khVyKRHMBGiWQVZBU9KhHIZcA34ViBgwTs+Mo5ocPCK+XmWlx0bBnQQqRHeth8F+b0KM1Ei0lrKLP4Fe6GXhfFrP+FRj5GqTugtiahePM/FhHV05ipMRjbs1l/JVx3LpLvVQnvSlNrD0G3Lwa8ED/HXApgkB+Ec6rCFkrvi65mYbLV7sse+32PDrwC/q1nEehQj1PcuO9WKMHMfxRUKIA2LUkyfSc33hjVlwACgeg6XZxIWi6DaaeAzUJtUkyz25Gj1QwkiFwKhjxEFAg8/xqzL4ceHWYeQlivaC3A1CY0Em0iDWIcrbM6OAobt0FGRpWg5HnRui+t5toa/SGVWBcLFAH+u+ApRCoVi7CcilCrrmG9zw68Av6tcx7tSxSqLDpU/R/9EFstwerrOM3bKyyil0J0X9fTtS+QTw3thpia8X3eju03iuameQQhekkelwFOSSGXvgeesShkIuJ79U4+A0oHFw4nGS7jV0TaxC514ZQvCwKJVS/iqbWUHWV3MHcNVVgXE1vwaX6AK75307ADUGQkZ/F4uwofzxPw26Q3pBe+PmVBIylql3OqMeHlYUyzlXfTl8gy76gX8sir5Z5zBQMfPq9ZD5nUzjwIsl0ga3vrmC+ab1YuJyvt+97jOyBIpldCQrjkOxop/8BA3Pz20kObMcaH8Fw9kBtGtw8dtUgmS5COA1uDTwb7EnwPWgU6L9f1MgZH8HOnkRW62iaiiRLNGbKKE29VCbrK6LAWEpJY3HGLGsyR757hH3/tI8171zDtk9su+Q5u1QfQKD/DlgKQUa+iLOzo3hnnLHdY+QO55ZsB3q+7GwpGt7F+5Y1maGdQww9O4SsyedkaZfNBbLsJfm1LNKUm/wN2//L/Tz6v9/H9o9NYa46AtUx6PzAwrayxYeEbW6+JgZK5GsM/oNEtviQsFe1YljqNvyQiVXWsMsa/Q9WxMVAkqHpLtDbyL42wc6/TfH8v92HlmrDnXwN/BqSBGvuKrD6jmk0pYqVzRJtiy57qeFSmfI884HYrbuM7h4FwGg2GH9lfEnn7FJ3fYH+O2ApBBn5Is7OjlrWi5JBaayEpmuXXHi8UD1zwwc2cPgbos/+QhLBxfse2jlEOBEGYPrQNH3b+xaec8XB6jxZ9iU5n6Z876dBkiB1B7Q9ILL7sW9AYgOktpB52kPvuRNDPgZWFkOzIRIl84Vn2P6nTYsWchMk+5rZuvYfMdvGwWqCxCYwWsl6v8bg96bF+7h27v0qTvO2n5vk8IudKEodPVxA6ZWwK3kG/vjdy14vXqqp1nzGPLxrGFVX0QwN3/epFWsLJZCLHdulJK2Xo/8OFkVvXYKMfBHny46a1zaTWpPi0c89yvbHtl/0g3GheubU/qlLdhEu3rddsFF1dcHlD67R7fRitYs9CflXYfp5mHlZlEFqU3OP7YE9vw35feL3aO8SQVkJg2Git6QpjNbg4GcwuyfZ/th2Hv2/V7P9FzKYW1eD2iQWS2dfhuQd4mJw9vsYazA1HGfgg4cwwjmKOQMj2mDg/a9gyv/7wqPvrpClro/MZ8zz5wyE54ye1Jd0zi41BGKpHahLvYMIuDkJMvJFXG3Dz8XqmZdSoizet57UaViNhddf7nFcDhfN4ubVLlYWcoNiQRJZqEsmnwEPCKdEfbs2CQc/Q7L1feSONigfPohdSqDHFWJtkO4NnzbOSm05PaTZGhONT9Fekd0P/QOFI80k1vad+T6m2ykMT2KahzF/bu5BrwaRvjO3u0ws9W9hPmNWQgoNq4EkSbi2S8fWjiWds6XITZeiYroVbXkDThNk5Iu42hFZV1PPXLzvlo0t1Io1asUaLRtbVmxU1yWzuHm1SzEjgrhiCA25HIJGBdyKeMyrifb7UIrWtoOM7R7DKtQJRRWsEoztg9buvPBUP/45+P52OPa3Qproe2IbkkR2dBU7/2kD4y8Nc/TfjlKeWDSOzush2VqG+jTUZ8GtQ6gZWrZdfPTdFbLUv4X5QNxxVwf2jDj3nfd0ooSVJZ8zc4sp7lKWcNd3IYKBy7c2QSBfxNUaKV3NhWDxvr2GR9/2Pvoe7MNreCtm6HRJadv8/M/aJMhh0V6vRsU/tyYagVwLXBsS/aAlmTpYoGugCyMZol52MeLQtdlian8W7Cw4tgjEXh3qM2ICklMmezzK4L92YtlJOvtL1Io1hnYOURovYY2PYGeH6H84AeF2UbKRFWi6Q6hfDj8OQ1+Er5rwo4+cUWa5Umng5fwtmFtMHnn8ET7yxEdY/571K3rOLkSwKHprE7ToX4qlepTMcanmjutlMSq7L8vXf+nrAOhNOun+NDEzhu/5FEeLPPq5R8UT8/tE/dueBL0NkpvE46PfEME4uVkEccOEep4n/zhFYsuDSLVJyD0HioFfyVKclHj0498RmXu4RQTg8nFQI6BG2PmV+7GKMkY6BeFmyvZqxvecwK3V6b/nFP3vkDC39orAP/UcIIk7gcpJoT3XkoiyjwWprbDtf5Adabtsu4MblSuxdgi48Qha9K+EizgBXiiYX6ieuZwdeld7QZg/FtdxsfM2xbEiuYM5eh7oIb4qfmYWl9oC2/7yXK+W5rugXhAZeW63yJL1NpIbfwGrYGOk2hfcG+2iTdKcq5GHm8V2Q82gl8Tra9MUTkEiXQa7AbpJTH6ZdW81KE6F2f6RFwAVbP10k9Hs6zDzAiCD1iQuCACuBKWjMPIEmSe23zJ144vV2q+nBCJgZQgC+cW4HI+SS7Bci1HLcUHY8/geTr18iuJIEbfuEoqF8PEZ+uEQXfd0sfVPF0nb5u9IGkWR/YaaIHUnrP5lOP73QrkizT3X9+l/fweDn50GQE+2YYcS2MDW9xZBN0XgVgzR+BPtE3a9sy+TNOtYVgtGzIDZfaC3Yds6yVWILL4+Kzo+9XbxrzkEhddEvV4OL/rtJJHtD32Bwl5IrO+HReMvVqpufD0Ey/MlEUGL/61BUCO/GNWTc7fsi7jChbVr0u5/9oCI/D6y+7Ic//5x7LxNKBYiHA/jVB08xwMJEt2J0x/w+TuSeh6atgjtuJYQ5aXCfoivhVXvEc6Hq94D8bWYiWcWasvZfVkmXp3Adk0yT7tkT60Gx5pbrLTAWAX2KTDfSf+OzdhOF1atBd9zsfJV7CL0vwNRusGD8jBM/BBOfhkmdgpHRQDfEYuftWlRz/ddUBMk2yzs4efBmlh4S1aibnw9S/+CFv9bgyAjvxgXcAI8r0fJJVguL/Mlt2zn94nmndqUqCXPHoDpPWSe+kWMFgP7uI0W0VA0BVkT1/Pmdc24Nff0Ni52R7LYiMvKCmVLYxYAc2AH7OgnfzxPU28Tju1wYFeF5/+1RLSpnb4t02zbUcLs3gBuFWJrMTeIcXaZH0DheDPJ5hm2/kwX5gYAE/ROsF8RFrrhVoh2QXV07verijq51wB8kfE3SvQ/UGHwiwkYPYi+tm3Fhilcz9K/oMX/1iAI5Bciv08EqImnIdQiygmKfnGPkouwXBNalnxBOPzXUD4mMmg1KUoZ5WMUDryMeef9FIYKOLZzuonFckh0Jc7czsVcE+cvctVTMLVLyAjlkAj2Bz9D5sn3oacSuHWXEz88gT3jIhtRbCfG0LEuil9r5qFtD2Gm/mbhYmluQATuYgkKh6F9FfhzNXn7FJjvgPj608cSTosyy8SPoDEjOk61Foj0glfDjH6Lgff0kBlcReFYL8n1q1dkmML1HCzfiGEoAdeeoLRyPuZLCkoY2t4hHpv4gVBpLNWj5CyWa0bkkiWO07tBiy9otFEM0OIkk6KVvOeBHiRJolFt4Ps+8c44siKfuZ2LuSZ274DSMZj8IfgIK1uvBn4dPIfC6y+j28+Te/4nNGZnUDVPXDQ8CCfCVCYr4vZ+XuJYz4uLQT0vtOq3/8GZ3jDhZqiMwuiToqxiT4iLihaDrvfAbb8H6fuEl7mE+LlbwVxns/0XT/DoJ3/I9v/QvCIZ8vUs/bva3oiAG4MgIz8fi0sKISDScbrEchXdg8vhM770wROSCLCL8aH/3nEGn7eJr4qz8dGNZPdmsaYteu7vYdtvnuXWdzHXxNQWiHaLln1JAiUE4VXC/Kp4iGTMxipsxK6E8V0PWSrjVHxcR6IwXMD3fcb3jkNqu5gH+oMnyDwlBlgk+zbSf/9+zK65zD95uxg6gQShpKivTz0nfM/nM/R6Xkgjp56DWk48V9aE3j09IC7KF1mkvprFyut5HmYw4u3WINCRn48LjDvDGoV7Pndl27xMPfpSmQ9A43vHqc3WCDeF6bizg/71X8VMPC1KK4oumnYaRWjfTlb/L0sPWvl9okwzvZvsiSSZvXdTqG4m2RWhv+evMdszIoM2OkCNge9D8XWyk3cw+N37yQ1BcQIc26dRkwglIyiagud4xMwYH/zHDwLwzKefoTJVwa2UUfwJos0KD/22grm6IDJwfW5hVNFB1sVFxatC20Oi0ah8AiJzdgKF/eLiElkD7Q8IjftFzt9yaLCvB9VKwM1PoCO/HJZxkRMQapFv/iWZH7dQmOgm2W7Rf/9fYr7/t88fzC8R9BcH79kTs8RWxSiPlUGG6kyVUDTEYGYrA++awOwcFnpvJQzxdbD+NzFTl3ln4FbJFh5i8Kk4erROIrQb64jM4EsbGPhAA3PVYagMCb8UzwXfwbxrLQNtsOfLUJpwaNQkVM1B9qFe0lA0jVqxxlO//RSR1ggzx2YIJ8KEtRyOZTMzpLDn80Ue+c+qWMT0qiKzLmbEuZAUoYBRwkJR49REA1KoGfSOueEV2pLO33IsVi77VKeAgMsgqJGfj/PVbet58fgVkP3BEwx+qQ2rYpAwJayKweCX2sj+4Ilzn7xY8re4CWmu7Xyx1M3O2yDBxCsTeJ6H0WSgGRqlsRJ6eweZwz8jZIEtd4mvd/zJ5d8FzJWZMrsS6AkJIxVG8ioYkRJ6SxOZ3d0icEohoTPHh/Z3gqpjboBHfjfL//GfnyWZrqBo4DU8ZGyibQqJ7gSVyQonnj6BpEhoag2pMYOmeYQNh9EDYRj+EtTyUB0RmXX7duh6dO4uYJW42EpzHZ2RXoh0Q+d7QDUACYoHL3n+Ap+SgBudICM/H/ODGBZnxfN14Ssg81QBPZnAmBM2GAnA18g8VcD80FlPvkQT0uLssVasoSd1SmMl6uU60XR0wfpWT+oURuuw5bGFTWf3Zcn8xc7Lu/2fU64UxiHRPveY54AEelOUwlgfhCeE9wnAwD+Ir/O19eJBzNUl3vTgGJbXy8TRMA3bRdNLNGoJom1RKlMVrBmLqF4WdW3fw/dcQBGLtK4NdRuKh8VdRaMgzLPmFqKzhyHzNZNCbiPJdIH+D7Zj9sx1f1qnoP3tFz1/17OyIyjZBCyFIJBfiCsZxHAW8x/C176XJJ52SK9Vic1NjdMjNQq5cwNFdt84mR+bFLKQ7BANMeb6001Ii6Vu83a3WkSjURG2t/Ne2BeaQLTUDr+FALK3h2SbhaIZ2OW5i5As/mzsMiS7DZEln70YvOlTorZeeA3Q6L8/xeC3+qjMgNGkUJ2pU60WCCfDyKpMrVCjkaqjhmI45Tx1K0Tf7fONPD60DIigrOriwtr+TlDCZA/D4OdBV2MkUgWsaozBz8PAL7dj9oUg9PYzLmbn43pdrAy6MgOWSlBaWSEWl0BiXS1YJY/RvS7lnA+ujV2skdy46dzXfKkDa7ZOoh2soghS2dfLC/XdBambNUG6bQhneghVKiDhYs1aNKwG8c74aYnZXHdn5i//K7r7KoZevGSH3xmdiuv7sWbrFCca5EfE6DZfjjKdTTH8gsv4QZ+df2WRfb1ybunCrUJsPcR6MddUGXjvc0SbapQmXKqFEEbaIGbGCCfCyIpMvRbCLisgKTSvKrPtp+ZcDKNrhF1tfI1YrNzyGGz4BNTzZL5nocd90blIDSMVQY/7ZL5nLbkctlzS0MXv35UOY15M0JUZsFSCjHyFWPwhbL1jNSM/cvAbBXJHbJTNOra8ga0fffDc16xaK4YT+z5GPAxunczTLubDIiD17+hn8E+/A95rRBNh2jaEmTriEuuaRYrECbe20LK+RQTxU99n5599i8KkzviJNJ23F8SCYPpeMNovWAc+c/HPwFh9D2gHca0SRirO+PBdzGartK4v0GIWsCpJBr9zLwNrZjETj4m7h9JxUcNObV0YSmGurfHwr73I1/78bkKpFHpLZKEpqftt3Tizs6SaTpBM5em/N4u5Jg6uBum7z12snCt/FSafINFcEI6KiU1Qm0SnQGEyeWHN/3kWk80tW5Yly13OLPp6bjQKuL4IAvkKsfhDGGuP0f229Uy9PkXpVJm+9W9i61m1zuy+LJmvi0xLj64nvSpHLFlATyYplDcsBCRzi8nAh06S+V6IwqROSy/c9zEFs8+GUA62/JbY3o93Mfj//SF6NESiXWJy1GX4JYW+bRALHQSj/YJ14HMCiNGOvraN4miR7Y8/ys7f+xJNqXEMowBaEqN1E8zWyfzdVzF/E7FIO7Vb+I2n712kNpnF7MvRtKEPuxJaqPF33NVBtDVKcTTOo//3A6IkM/E80ALpe4QC5XwdtaktJO+cOau+fRszR6YpzZZ48ndPkOyZObOufAWOlpfDcrbrX8+1+4DriyCQrxBnfwhj7TGUkILxdoPtj20/47nzWZwSVvB9n4YTZvSwSdfANpSwQrLDOOP5ZtdJzE92nXYdBNHKvsjMK/OFZ9CjNkYyBEDH2gpD+5KMZyTWNRew51Qv56sDXzSA5PdR2P8CiQ4N1IRYiMw9h06IwmQEQnNOhPqcY2ExI2roc37luDU6esexZkoYt8XnBi7HsPIWyZ4k2ZE2Mt/9OQpH3koyMUz/feOYW1IXXKw8u749c2yG0cFROu/pPH9GvIyOludjObPo67V2fzkEi7VvDEGNfIW4nNbo+Syu466OBdMqJaww/sr4+V9zsdb5OQojZfR4SDgDArHmBr1vKuDWXYozyYvWgS967CNPkOxUsS19rqNTjICzcxMkO0OnN5LcJKSbtcnTEs7SMbDG6H+giF2NiXr75HNiAlDepvX21tO1+bV9WKG3Mvi9h8ny8Yv6vy+ub5fGSnTe00m620Waehaj8j1091UyX3hWvGAZHS3PJrsvS/54nte/8jpDO4cWRtWdb+F5KTX05a7dv9Fcz66QNxtBRr5CXE5rdOFkAVmTmT40jVtzqRVqyCGZUDR0/g/uxVrn50h2x7ByDQxtQlyuJRVVtem/p8j2/3lxKeVFj333Sfrf1cXgnMpQj4FdDmOXNbY+WALmslG9HVJvguqY6KiM9IiWfjmEuTkx53QYpjAKya5jbP3Ux6+4LLG4GefJjz1JosWaq8sboCbQDZvC/hcgv+mCzV7Z0R4yj12mNHMR80ErtiqGNWNhzVqc/MlJ2t/UjqzIC1n05dbQb+RGo+vZFfJmIwjkK8hSP4RKSGHo2SHCiTDR9iiO7VAr1uh6a9f5X78EnXv/Rx9i8E+ehFg7eqiAXaxjV3S2fuKnLhzE8/tOe55MhEi2u7z1oRLmlg7obgZMiPRgrs4z8MspYTk7Dsk2m63vNTB7c1B3T19cJEVMF5rf3+6PCQvaxcgh0Va/748p/KRCIm1DtQuat110QfZCJHuSWEdewYga4m4BsC2dZKcv3q/zXASzr1cY/M4d6O3WFS9QLg5aekInl8lRmaxQGivx8F8+vLCdWym4BYu1bxxBIL8ekC7zcbikzt28/wEGfl/UygsjGsnuGFs/+hDm/Q+c89zsviyZLzzL+HN7KGR1WteEaG46jjWhMfiFbgaUImZ5bkFwLhCafWB+fNHdwKZPiY2dfXEpHhYzP60xcBvQtJns9N1C+52ARCqPNT3LM38Zp5RPMnqomWiiQnrNLmKbHsC2E0tb3MvvgyOP09/6OoM/NKFJR2+KYRdr2EWfrR8Zh3xISBfPughmDtyL3p64quB6xuK2GTtj/unibdxKwS1YrH3jCAL5dYBbc+l9oJfpQ9MLXZnmneaZQx6uAPP+B84buBezcKvvHqRWCePLCpNHXMKb4sSSFSicIPMtGfMXTwg1yVv/5ty7gda3nfn9xt8RF5nhr8De/ygWRfUOkXlPPkvmmy3oagjDL0DVwm0kmBlPIqsiibeqOiOvQatzECV9x7mLe2fLB5O3w4nPQ+ko5po4A48eIPPcKgrD8bm7heOYLTNQFIu1Z18EC//9SRItBaGUaQgljh7rp3CyvuT3eqlB61YKbjfDYu2NQhDIrwPmP9x92/sWHrPyFsZZapULsaAMOHJikdKjY0kOi5knMniux8TBGhPHwoQiEA575E5GiW2aQI9AIdcF+GLIxtmB8GJyvsN/RXaki8wLayhMhEm2r6H/zlcojFZJtFugRMFzyJ2MEDIcPFela1ORU4djzGbDVJ536P+wduYBn29/+/9ILKhqCVAMzH4Pc9UuYbalRMTjnivuCI48Dm95/Mz3v9XGOvE8RlN4QYljDz9PcvU9S3r/YelB61YKboGF7htHEMivA670w53dl2XP43s4/v3jGEkfs2sYyw0z+CXzzHLIRYL5+N5x8sfzaH6YkOHh1GUcS8dteICEXY2QbK8hvMBbzpXpXUTOd+D7Mru+sg3PlYgmGjQaMoMn34SmVbDVOzBiQHkIu6qjqHV0ow61HG5Npam1gielUMKKqFf/Rgtm4hkxWEIOiUajkCz25zfAnobknLpHi4njRRKqHVkTNrvIkNt97vt/90EG9xughcTibUXHrshsvfvgUk4fsPSgdasFtxt5sfZGIgjk1wFX8uGeL4mMvzJOvVrHni5TGIrR82aZeCtkdiUwf9U9J/Bmf7xrrm5eJtkdo3giiSTraNE0kfoYpZyG66s4NRmromHbCbbeMyT04ul7zpXpnTUOLnsY9nypiaEXGuTH70MLOaQ66jQaMrmhKOlVebRwCLsonq/rrSghi1pFoaN3mNxoGlVzAAk9nMeQToARJ/N3OzF/E7LH42R2d1GYqJHsLdP/cAwz2Spmebq2UKoAYrBEGPRWiPaJh9yq8EvnLH2zXGDD2+NMHZtbvO2ArT+tisEWl3kelxK0guAWsNwEgfw64XI/3PMlkdJYCdVQ0cIuTkNh+CXof0gEpLP10dkf72LwT55ET4ZIrIoyfaLOzNE8vhSimjSIptswUgWq0y5IGkZSY+t7j2CulyB5rxhMUR0T6pN5n/RFcr7sYXjmf8DMsIdd1ZAkCafhkx8P07yqhqLalKcNtJDNwI4XyezZRGEqRsdtDYonp1E0F6uqo2rgujodPdMw/QKO1UdmX5zx4yqF4bfQ2lukuaOKNT3L4OdjDPzMasyWcXF8vi+ScVkT5RQ1Lh7zbGiUoO3BcyWAx5Ic/mGdgX8Xmhv2jPBwD12h/3xAwBtMEMhvUAonCxRHi6iGOIWSrKBqHo2aTDYD6+/nnCahzBeeQU+GMFJhytMweTyEqnv4noOExOxIjdSaDla/pYV0t8v2R8chdKe4IJSPCW12yz1n1sI7PyAWGu1JMk+spjJhEjY07GoLiu6LmRBeg2peIpmuUSkn6GsZx2x5BfORw5B+C0gK2edfJfPyVqSjEVA9ujaWAI1DzxnkJzxCERVJBV8NMzkUJRxxiDWVwa2R+VES8z//qZirmtstArf5U2Jup1cDpyCy89ha2PAJMn8xJwHUizD1PIaWBaVC5jtNmOtT59XlvxEEXZABV0oQyG9Qkj1JRnePEjNjlEZLuLIObhlFBWtWov+B0hnBKLsvS+YHdXzCGAmoV0ENQ6JNZnbMI94VnxuiDIqq0P/R+6F702l1SHVMBPHEXMo6Xwuf+MFCuaIwZeDUZfSYhxqW8ZGo1xt4nkqlpGNXVVQNWtcrgA/WCIznoftDmBtDmBtepf/+Tga/3IFdtJgaTlIu6Eiygx6D2bEQTZ0acihCbsQl1lRFT4YZH+ll59+lKZx8mGTPz54OgBeYtFQ4eVbTkN6OQ5HMTp/CeJ5kXwv9H/0ZzGVo2V8qgWVtwNUQBPIblP4d/WS+Jsor8a44lWyFeiNCPF2n900lzM0J6P4VSG1Z5OUSAs+hUVPJj0JTF8iKQ6pbRVNrWLkckl9n4ANjmN1rz1Sn7P4YSJqYnzkn0SOxEaZfgLYHoGUbyXUwmQXHc4nEqxTtMLLcoFGXkRVQwx7tqyc5vLuVlpYWzF5prs1/zp+lfAwzeZiBd8V56vPvwXMlJEmiqaVE2KhjhVqp5FRSXRJ2KQZd9zE9olAYy9E0PkJCO4Z1sMTg7+9k4PfmNPOpLQsacwZ/GfBJyu/EGpExEqJpqJyD4deSSLJDflJldLiVg88d4IE/aGHzhzav2LzVxdxKjUIBy08QyG9QzC0mb/uDt7Hrj3bhWA7N65qJdcZQVIVtnxqARR/+BS+XbasZ/dEhFN1BCasUsw7xZIWu2yrEkhmsVSZGSxKz7zyOgHJYBHEtIf65FkzuAvwF75L+d8Cp12rMDDuEdAsjqmOXIihhiVZzhlXrcsRSNlZJIvP8OszVL4PvglcHtwJqFGoTmD0WqbZZejcNM3ywl0ZDB0kmmqwyOxmjPKPiOAYHvpnDmrYwt0SE9a9iYKRiINWEE+PmJnHsr/4+lI6KerkE/Vt+zOATa8Ffhd4E4xlo1EDVFBp2nUhrBLtg86M/+hEt5jSm/L9XzC1xnqtpFApKMgHLEsglSXoY+AtAAf637/t/thzbDbg4mz+0mZYNLZf8EM8HCSnVSxeQe+0EYcOmOiORXicRbapjlTTsSpGtP+0KmSFi1mhm/8ycsiNK/5Yk5gZflGCA7IkkmefXUCg2SHaF6b8vx0M/9yp7vrOG0UNpFLlBsqVM31tU4pFZaJQBFV2vUMi1ivp1pA8KB0WQrQwjjGE8kulZrIpBelWO0SPdgI+squitzVRmbIxmnWirsDMoDk1STkSItYnMXo80KIxUyP7Dr4nGoEmDZOs6+h8sY27wMTdYDHzgVTJ7GhSGUrhVg0hURtZCaIYwA9OTOtWpKpkvPIP5q1fnlriUQHuljUJBSSYAliGQS5KkAP8TeBcwCrwoSdI3fN9//Wq3fSuz1CxrKWqXxUEi1ttLrLcX68hOShM1yvkE4wck4qkydz+8FzM6AfZ7yA63Mvi5CvqGOf+RQz6D332QgfB+zO5TZEdWMfjt9eihCRKRQ1jjCQb/TmXggxKPfHIvtN4LhYPs/DsTy4qJIRNuDbwatmWQTJdAaxZDI3K751QmdUQu4Alt97fvQ4/adK4bITvShT3rEElN0H1vmJbbV4PRztDOIayxCXLDYWJtQKOMnZtAUWDwidXo0RqyZHPklU727TJYc1eebR+YxOwZxuz4Oqgxdv7rvRx4bg0RtQhOMzTKOE6YSGuEwkj5qtwSlxpor7SXICjJBMDy2Ni+BTjq+/5x3/frwL8Ajy7Ddq8f5salsftj4uvcRPuVYrntPxfb0pbGSxz57hEOfr9O9qBLLDLE7QOv0d47weGX1pM9psPUc2S+m0dvjp4eM9YcR0/KZPbeDV2PktmzCT00iZFUkOJrMGIOeniSzGCnCOJ6OyQ30T8wil1wyI1FGcqs5cDuDQwd2kjrWkcE8XCraPBplJjPxgHMnkkG3vcTjGgVz1VZf8cJPvJ/7qR9Q4jmDuGBjjVBuj+NUw8xedTj4DNw5Cce+Yk4uDX0mIvr6gwd7KOUi2JVwhze3cozn+sieywESgzkMP1vfhVZcbCtCL5r05gdw6mUSXQlSHbHzrEMzr5eZufne5Y0ym2p49qu1LK2cLKAntTPeOxm9W4JuDDLEcg7gZFF34/OPXZzMN8SXs+fWSNdwWA+/+F36y7Du4YZ3jVM7lCOPY/vuaLtzQcJt+5y4gcnwKkSiVfQwg1yJxNUCjEMo4iu58kM9oJnCz/zVYt80BOb0I0qhdEa+B6F4Vn0SAN0U3RSxtehNyUoTEVFEAeyJ9vJvLKV2ekkQ7sdZrMSkZRM26YYhw89THZ8vbC4bb5LBHRFZz6Qgwjm23/mWd76nhdBknn+yQ3kj88wfTQH1VNw6rtQm8bxIyiah+S74Dng+5RmwuiJEKeOm1hlAx9QFBerEmJ4fwvf+JuHyWY3gBLGXO/xwIf3IgHVWQ01rNDWW0BWZPo/+pA45/U8+B7ZA0UG/0HC8tYu6SJ7OYHW3GKy/bHtPPq5R9n+2PYlZdQLM1yBcrbM0M4hXv/K6+SP5wPf71uIN2yxU5Kk3wB+A6Cn5wZqtFjhiTLnY96ffHT3KKquEk6EaVgNjn//ONl92Su+Zc4dzKGEFDRpCrseJZYs4tgOubEmYslZ9EiVQi4F9hTJDh+rnsSIzr3YaMcObSPZdYzsa+Pkx8OMHtlAtEUjvQZiLWC7HSRbjkE9SvZEksG/d9CjKpLeQTQ9C4Ro3SCLBc/ZYTIv3oP5ocfE9p//ODTyUD4hSjA4gEJ2pItn/vVtVApRHFfHdx1mTolSR4tZYPzlg2h6K33vXE8sfAKKk1gVnYljTdhWifxEFNeBRl3FaQjZowpMnWrlmb9fy0MfGcFcU2HzPSdo6Zgh8+o9FAq9JFsL9P/2XEacbxLnO7+XzHeb0CNRDPkYFEsY9Umolcg8/irmn56rZllK7ftqFivnSzKVqQpT+6dABkmViHfGGfzMIBs+sIGp/VPBQuhNznJk5GNA96Lvu+YeOwPf9z/r+/423/e3tba2nv3j65cVnChzIZI9SbJ7s6i6imaIDklJkjBajCuaoD5fqqlMVjDSBg2rTq0aomo1oWoOthUCJGwrSrKtAfj03zN87pQgK0brOz7M4PceJtbdiqzKWCU4+QpMnwS7rNH/vlUQSpH5txJ6Uwhj9T3YhSp6XEbVFXInxFQhPRGmcGiRl4lfh64PwupfhNb7IL4RjE72PL2VmWwLKCH0iI0W9pBln5mTKsVJBdeu07t5klhPrxgp1/VB9HiIcNQmP+JRt2R8DxHEfRlJkvE84Q88M5Fiz/fvEuZajTxmzxTbf8vg0T+YZftvJ08HvNQWITnUEhTyHegtaajNQPb7UJtGT8bEncp57tQuNSnqasto83db5VNlPMfDaDLoua+HlvUteK7Hrj/aFUzouQVYjoz8RWC9JEmrEQH854D/Yxm2e31wgYkyZ0x0X2b6d/Sz75/2YTQb+L6PYzu4tktqfYr9/7KfzJMZ8KHrni62fWLbJTOs+VJNtC1Kw2qgGSEiTS6VWRU5rmMYVaxqBLtqsPVdr4OkYHadEv4vX3iWwr7nSaYLbP1AksyLdfRUAqNjE3roeXIjESp5hVLW4eH/MIn5vt8WTTfekyTWJkCW0COvUCnq1CuiEQkg1hom3SnKC9l9WTKf76EwWiPZ1U7/O9pFq3w9z+hxiVAyilcvU5iJ4DRUJMmhZmk8+qkj7PyCjFX0wJoAQ5R07KpKx7oC5ZxP2KhRt8LgS0gyIEn4nkw4ZhE2XEaPdc2Nw5Mg3HbhQc9zd2bJrjBWEQy5KCSZjRJ2rYVkugjZH8DYt6BpC2z4Lej90CV9dM5erHTrLrlDOb7+S1+n/6f7l5RBm1tMUmtS9D7QiySfNrEvjhbxGt4bvhAayCHfeK46I/d93wF+C/g34CDwZd/3D1ztdq8bunecUSNd+H/3jhXbpbnFZM0714AEtWINzdBo3tDM+EvjVHNVZE1emCr0zKefuWSGNV+nTW9K49gODT+FHmsQ0l0kIBxtYERtBh7Zi7m6LGrcqoHZPcn2R7/No/8pz/Z/H8fsy1PY/wJ6qABGO7GNb6XvLSq3bS+S6tag7UF2fvoJnnzkU+T3vcLMwWMARFp0SpM+dgVcRxhrHf0JaMnkQkaam+oiP+Jx4CmXr33a58B3ymLGpy/RKFco5SJ4roKiOniuTKUUIzti0n/fJLYVxxo9iF/JYh3+Pna+Sv/bZnG1bja9O0KyQwRx3xOydd+TaNRCFKZjOI0QhFtACkF1CMafEnr2s5m7M+u/fxp7Mos1PYvfsLBma9iTk/T3fwNq00J5Uz0lfNiHv7JwPi9U+15cQy9PlBl5bgR/rlP2cjLoxbXyhUOeqhJtPfN3WemF0GBO57VhWWrkvu9/B/jOcmzrumMJY9VWgm2f2LYgW9OTOkf/7Sj1Up2oGSUUmRtyLEFlqnLJDGu+Thtrj9F9bze5gzkq4w7JjhIP/9ILmKuOg26SHV3Hzq+mKGRVkn2t9FefwOw7c30g2WlhncpgrDdFBmy0Y+ctFH+Swb/Yu2DI1WjUGd45xMSBIpVcGN+1cOoSmgF61EPRHPb9Wyv5yh5cxyV3xEFRVxFpzmMX6/zob8O0tEbo2uLz+jMGkuwjKeC5Er6vkEjXyPyoie0/v5+Bj7aT+d5rFF45RrJ5mq0/U8HstUnGh7C8Xtr7DQoTPu7cnAhJ8vFcmbqtETZcsmN9mB2HwZOgMgIn/glGvgb9/2/Y/LviRZEeKB2B/Ek0tY/h11cBPl3rTjHwzh9h9s6IzlcApyh8zQ//FfR+6KLneXEN/dSLp6jmqrh1l1A0hFt3FxQul8pozydfVDSFWGfsjOet9BCLQA55bQg6O5fCJcaqrQRn35K7NRe9WSfSEhGNNbUcqlujVg1TOKIC2y+4rcUf8mhrFCWkYPckhbytewfs/TTZgzaDX+1Aj7skOkJYyh0M/j8vMvDBo+BWyDy/mkK+HUXXKY5bkLbO0Dtr9okFQy4APRFCUl2sXBHPMfDQUHWX5lV1QrEQfqiD6qxY0NWTOoquoBlJIIke86mODJN5fjXbPlzlyE88XMfDbUhCwpdw6N40Q2EqBvENmN7LmB8uQqRTeMJ4NXDa6d92gGf+2SB7og1FUXDnAq2keEh4qKpPx4aisPz94AwLZjNSWKTur/8xxHpFMO7eQfYLn2TwiTXoRpGN26axKxJ2WQcac++0P9c9KotjsM5ZKrrguanmqswcm0EJKUiyhBbTGHluhK57ui6ZQc+XMuyiTeFkgXBTmI47O3jbH7yNw984jJW33rAhFrfSKLvriSCQX8csbvb51se/xaFvHmJqf5aQVsFIgayGUTSHpL739OSeC2xn8UVBCSloUY3n//vzoob5zv9I5rVn0NMljOY4JDZhAGiT7HkiSqOexHUblGeKVCoKnm+gdpSol+oLNd/nP/0ToqtO38bnTkCsRcGt19FX9TF5YBIlpFC1FUJmE47VINpUw57JUik0iDRr0EiDFsOxHSLJGoVTPmbTLta/5S7GjyZw6x66USXdY6PE0hgtTVDdK3aoxUA2xEi5ylEoHwd/LfgeTh1UzaFeU5F8CQkJSZXRwlVaWnMUJnUW2lXxwbeh7gk73Jc/JYzCUlvI7NmMbsxgROsghTASEvg2mRc3YfbsAnXuzsUpC290veOi52XxuXnqt59CVmVkVSbWESMcE0ql7N4s69+z/oKvX9xwZG4xF4L1fF367M7fi/ncL0dt+1YaZXc9EQTyG4DsvizFsSJKSMEp17AbCpVZCWSIp1Va12uXlEPOXxQWf/CjrVFRw/ysjV3cKD6084tlo99Cj9Q4dGAV6a5ZciPNKGqDSHQWW1rHzOEZfvoff3rhg57sjmHl8hh6QXRv5juRQyp6QifdnyaXyeHV63jVCo2xQ7h1mVT3DOkNKUYyrZSmXNx6lkYjiqSqdGwIk2w6AorOtvcNMfhlEz1aQ4842LUE9kyJre+Zs6ltfQBKh4T/ixYDWQe3TmZ3F6nWaepVhUo5QqMWwvNlFMVHDXm4TojpbJR0+8R53rE6SFFozC54qxRySRKREUCinA+RG01ilVUk2af/7oOYPTlwZDF4FKBp85J8WeYXK1s2tjC2ewxZkUWd3AdrxlpQuJyPS5Uylupzv1yt/rfSKLvrieWQHwasMJknMqTWpFj38DpizQ2cmoTvQzgCnW+Cwz+Jkt03vuRtna/TsDZbO3OxzBrFridAClGeiaNoDlrYp1FTqZVk8kN5nvrtpxYWsfofXYudm8EquPguuPUas6Me5ckaudeGaN2k49dK+G4dTXNJd02hyA223f9dtrxzguqsQq2qoGo19Cad6ZEoratOAT5mx3EG3r8XI1qnOJvGiDsM/FoT5rZ+6PppUHVI9Iss2LVEU5AapZBLoMdc0l0FqsUIiuogAa4jVj7DCZWpkSZaO6fY+dUHefJ/PcrOrz5I9mSbeA88h+zYanb+fQdP/uIXyI82mMkmKM8ajBxqpVGXUDUXRXUZ/M7byJ5sRejfJWh7EFruFusLI09c8rwke5KoukrXQBeaoVEr1kCCNe9cc9FAulydnUvtQL0UV9qhGnB1BBn5DcCC6ZUsEW3RCEVd1LBCrQItPWDl62R+0oH5CxffTnZflszXxQdTbxKZcsyMoSd1wk1h7LwNdg6dY9izNnZFpqs/z/CBViKJBnVbopjT8fUG4WSYymTldNa26hgDv6KS+V6N8UMqdTuE66lUZqFmZVE0iXRXjrauPK4bQpHr4MPz33kz+Rx03QGOJWEX6+gdceKdq5iaeTPwI3DLmGskzE1ZkKeEh3jbBrH4vPF3Tg9jbrkHZvciukNVkh1gFRPEUhWMqE2jruH7CiChR+vEWmQaRY9dX7sXz5WJJipirui372Xgfc8BGoM/fBC9RScRP0SjfQ2j+1ejKUV8z6NUjFNvqKRai7h+mMyLt2P2FSF5m7ApgCX3HMxnsnpKp/eB3oVMdtsntl30dctVyljO2nYwyu6NJ8jIbwAWS8vsWhJVbeDUHGTZZ+gFh+GXIPPj5EUlXqc9yRXkkEzDajA6OEo5W8Yu2HTc2cHAb7RgOHsonqphNBkMPPIC294xiCy72BWZ6qyKr2jgiw95tC16OmurnsS8s5vtv3KKeLuKpssk2xqEdQe3oVAru8QSZR75zRd46/tfp1EPo2guiZYilVmNYhbSvTX6H6jTt2mI5vCPKUwoonU/tg6MNpAVkXUnN53W8qe2iClF+Vdh8hkR5G/7fQglhFTQSmBVQsSSFnqsTjJd4Pb7j/Gm+4+RSIxTnE6CBJG4RaMRJjfajutKZF68ncyrA+jpJoxYDUmWSK/W6LwjRKnQTHk2iY9PU2sBORRiarSd8eF2UVevjoI1dy6W2HNwpZnspRqOlsr55ItBbfvGIcjIbwAW1x3DzU3Y0z72dJF6xUVSVORwlIgevmhNc8GT/K4ORp4bQdVVFKXG+E/2kO6qsPVXo5haFvM3wxAKg5WECRnqszyw4zl+9LV7saww4aYIyAqzJ2aZPTlLfihPU5fK9vuOQ2432UOQee4eXFchbDhEkg5NSYl6scLMRDN4NTK7e9FjDoYhAkc02cBquJx6zSEU8bGrLko4SceGmhg8EemB2VeEvW76njObdvL74Pjfi5KKGp3zSf8hNG3FDJ1kYMcRMs91Ek6q2LZKa1+FaFMDy0owNdKMqrvoURfJBy3UAEmnPJtGi8RBbydhzpVrIl3g1Wjp1hnSZKKtPkZoLluVPJyaRq1qAJqYmJR7DpK3g6xC69uE2dolBlNcSSZ7JYO7z0dQ276xCQL5DcDiD6ue0imPa9jVMKqhIqsybs3Frbl4rseev95DzIydozwoHDlBIjaM5Bbo3pgkdzKKVcwjKTIDHzPEMIlTT0PbOyAEGCa0PwTFg2x+8BSsSvD9/x6hMt3ArZVRYyp6Uqdessi+YvPlP72LSs5meiSGVdJQNI+GLFOcjpJQXSQ1KjxUGiXGj0apVcLYVhu6USOSlimdVJidjtDS66GEFGplKE6FyY6vF9OO3vQHp7X8oY7TWv5dH4bp3YgZdREx9KJxTATRxEbMOxzMDWNQ20t2qIXMS1sojMRIroJku024ouHUI2iaC4AajlGZlelbXQO/gWUlMbrmglnuOeyKhB6V8R2bhhRG1Ro4NfA9n3DcF9p6LQH1GZh6DuKrYf8fQXIzxNetyGCK5ShlLNcFIeDaEATyG4SzpYivf1XYvSuaQrwjjqRITGWmqBfqrH/f+jOVB7/RQlLfi1WIYDQliDXZxNQMVreJ0aRiNu2ByQI4lsgke35G7NQwQQmTLbydw6/eQdfbXA4+cRAfH6fiYDUsJKmBhMTQ3gQQw/ccfMmnUVdo1DUUDfysi9HaQt89KtnxDRSmRFlCj7g0/CZmZrrxNJmQkcNzZPQ4dGwCJQSZZ+OYq0+eX8uf3wcTT4uuTEUXrfa1SQi1QvkIbP5PIoh6DQi3Ym7twuz5N1CTIKvs/OdNTI8aTA5FwXdRYy2Uyy3UqjXGpzqJm3GKxSLYCZGlqtuwK8fo23yCmhWmVEhjl2X08CTNHXlaOkoiiDtlofXX4uB5gASFA+JnxlxgXEHTtSslqG3fuASB/AbErbu03dZGw26gGaLJxfd98q/nSa1JnStF+8Iz9L9T4ZnHw4weALeu49omnqOS7i6y0+qk/20RzM6GaFMvHhbZ49w0+cyL9wpb3ZqL7/lIioTv+Xiuh4SPZkg0LNAMGSUUQrJ8fB8k2cdtSFSLKmpcJmXmeeqf3kvN06hXwdMgknBwKgXsGYPb3qEQT9lzdraipb4wVr9wjfnI40J+6NniqxoBSRXZsNEOhf3CSGuxT07pKDhV8B367xll8GvraOvJU8wZFKYj2IUKnfd0Lmiy8cX7XRwtkuzpZusn3wX7/guDXzJpXyWhx8Ce9LALOv1v2QNSsyjF4IuAXpsQlgeuDcWMCOQrbLoGgd/JrUYQyG9Akj1JGnaD3IEcAKquYhdsfNfHvPPMD6ue1Cm8XAY1JhbigLoNdj5CKFwlFp/ByssMfnkVAz9TFwORrVNC0jdnR1D43ydIdOkM7xpG0zU810NWZXzXx3dcnJovuhF1sIugaCA6JBV8x0MNq9hlm12PeyBrpLpB06E6A15DJdZcw2lrQW1eBc6c57ocxi7USbZVofvnz30T8vuE+6ASA68ksvFGAZSoCOrpe0SwNLrEwmMxMzcgQhba8LYHMLVRBt7/KpndPaipNUgjVWIbK6T7bKiFMFLtsFZcELc/tn3RzjsYUERHaGEckukmtt7/TczeIsirxIVCksVC7XxzkKyL/VtZyL8iPFn2PbYig5xXcvxbcIG4PgkC+Q3I/MJUenOa8liZylQFWZNZ/c7VqPqZp9Qu2CS7Y2S+b5HqMlh1Gww9X8MIl8CrM32qmb7NWaBBZlcS83fWAg2453ML20j2zAg1RMEm3hln9sQsru+iaAqeK+M3XFLdLpKiUJnxkSQfJBlJkVBUBUVXcG2XkCHTsHyK4xJNqyC5CrSQQ3t/GDe+GrvaAGObkD/mS9jVOFt/6z3nD3QjT0CohexwG5kfJSlMRkm2zNL/liOYtzVB+zuE18n4D8keN8i8dDuFqTUkU5P03z2LGT4E0S7M7XdiPno7jH2DJ/8kTaJpBmaHoJCBtgfQk5vOkOBl92XJfGEThf0vkOy0eOtHw5irGzBShXCX8FlRoqIxKdwiLjCuLdYHJAWy/yamIYVa4ORXYeifhVwxdeeyBfWV8jsJ5oNevwTywxuQ+YWp9IY0qbUpNn9kMx/8xw/ywH964PxStI8+RGHMQTds8H3sQg1V81HDYtEUPPSIS2G66XQmvoh5iZsSUgjHwyS6E8iS+NMJxw1iHRE6blOQ/AaqLgnzKElGknxCIQeFChINlLCKrHg0bJ/JY5A77nPqoMzQq0lS61NoUY3hFyocet7ETb2dgT/5OOb9D5z/TaieJJvbxuDX+7HsZhKtDpYdZ/A795Bt/BqMfQOMVWSP6wx+YwvWbJ1E8hRWRWPwuw+QHWoSNevuHaIE47skk2PYFU67H07uwp4YXZDgZX+8i8Hf/xusoRdImDJWwWPwcxbZoRSseh+03Q9dj8Kqh0XQrhcg3A5NtwO+cEdslETrvhYDexxqU8KoaxknT63U+LflahoKWH6CjPwG5UILUxdSHiRvH8caPYhhFNAjDRpeUkyLjxUg1IRdCZNsLUK9cY4X9/yFY89f7+H408cxWgxWPySyfztvL0yhqWvjqKMlyhNlfKeObhSpzGiAQjji0SjX8FwNJeRRq4DvS8iqSqgpwfP/v+fRUzqSIqGGVYpjxYu/AZEeMrss9HQEIzQFnoERViDWQeY7k5gfOgRenczzfeixOoZRAWSMJgNCCpmfpDHfkjqthKmM0n+/xuDX1oHkoEd07FIdu3RM1MXz+8j83VfRoxGMphh4Ndx6ndxkL1//4zD929voX/dFzL5pUVLRV4F9CsIpiK+H234PBn8Z3KgI5pUcCwZd1tiyTp5aKb+TwBDr+iUI5DcZZwf47L4sOx/byfghj8IJk9bb30TLxtcY3uOKARJ3RrEqNnbBYevDVdj0ByKQ5PedYd1rdu/gkb95hOyPd5H5wjMURg5hdMfY+hsPYd6/GRa5tWb3ZdnzR3/D8UEFNSQRToCEzPRJHwmPRl24GIbjOtGOKPnjeRzLwfd9mtc149gOM0dn2PP4Hh55/JFzjoXuHdC9g8LY55FDIYaO9WKXPPRInZb+DgpDLyGcCBMUck0kWgqAuEtADqEbNoXJKMzsFcHW6ARrBHN9NwMfGiHzk1Zh5Wv6bP2pcfF+7vsbCpMREqvCIEF5Vmdkv4YSzgNJrFMnGczczYZtw0wdkynkYiQ3v5/+j+04fT6ciliIlcNCay5J4FWBuYC7TIugK6UJDwyxrl+CQH4Tc7YznhbRmNw/SVNnB313HgIljOvoGO0tbP3gNOb7/6/TQXy+7X3xwOnOD2DK38D81RRoSQ58t8xT//7blIovEO9Oc/dv3c3mD23G3GLyyO+eJDvSxZ5/heODomKDJCFJHpKrooQkPKeK6sxSmwkRbgrjuz6SJKEZGr7vM7p79MLHsulTKG1bGNp5gnCkTjgWosEqhnfnaesy2PlP6ylM6EwM6YwdTiErPnq0Qbq7iKLYJJsaYGfBWCX+zbwM9QJmi4r50ypoUUhtg8Rq8WZWT5Ls7MYqgZGA3HFQdQW8OrpRwGgKUynr/OjLb6L3bkj02lhTk2fWkNWEKKWAaBTyHCHNUYT173JNnlopTXjQNHT9EgTy5eR8meM11AqfveiV3pAm2hrFSBn0v3PTXGZdFsqPNb90+lgvNHD68F9B6g6yQyl2fRaO/SSGqnvE28pYs1Ge/o9PA7D5Q5tFFr86zyP/KUX2MDz1Z1A2PNSQjCdpSJ5QdlRmQkiSj1+vokXjC8cuIQln2YsNv9a3gV6CWBh0FWwHx55iYriNeNNRZApUSknsSphEc4F6TWJov0lzR5GeBw+y8x9XU6hsJNmp0d/fg9l5/HR93GmAUzo9CSrSQ/+DRQb/WZQWrBKoqoPbCNGxNgdWmfLJGK5tYEQAJYJhFCC6aDBEtAvsCaGa8eoiiEthoTefnzx19oi5K2QlNOFB09D1SxDIl4uLZI7XKpifUdO0JmBmD3p5lPEXEuRfaELvvp3EXV1YBZvBz04zkMiKD+W8bG8xWhKsMbKzDzD4DzCyV2TZsiJTnnBJrFEIJUK8+FcvikDevUP8/oC5Pkmqo0FLZ42h1zqw8hXqVVnMl5Qglpao5mWiLVVqpRqVbIV6uU5qfYrsvnHMN7WfeyzVk7i1rfQ+0Mv0/mHsiTH0SA0jauHUZQyjyNCxDsJGg0ZNo5BLETIcInELVatz+KX16AmfRKqAlVMZ/M4AAx+IYN4WEZmxHBIll9SWM5Qqml7DrYeQcAGH5nUpciemGK00UZyOkGi1oDIOehuEm8+sIRsdIhPXEvMz50RAlyTxd/MGTJ66WoKmoeuTIJAvFxfLHJfy4VyBbD7Zk8QaH8FwXxVjyvwGtp2iVgnRlB7BsPOUR+8jd9ynMlnhqd9+iof/8mHMCw2cNjrJfKuGnjBwaqAZIEseLgrVXJVET4LSWOn079IoQuUkhJpIdt1JbmotqBaqWsDXVZw6opStgRqGcs7FnZhBjahE2iK0bGhh8EsdDLjDmG2vCTMqEIuJbfcv/H59/UeEWZbncOApiMaL4HuUZuPYlRCy6hOSHZLpMk5dYmK4jY71BSaGkqLlPtIglrbJvLAO87ZTYh+KDnZ2UXkqQeK2u7FPZcgPWTT3Gozuj5EfKxFtTqCpVXwf7HKIcj5MLDUJrfcxc2yG0liJJz/2JElfov/2EGbPrOj4lCQR2JNvgi2PXdW5Dri1CeSHy8XccN4zWOri1Xw2X8+fmc1fpRSt/50y9sm9WLmckCNWdOyiRzjSQI/LlHMOIz8+QcNqYKSNBVvabPGh8w+c3vBbCzLGcBTcho9T96nbKuWJMtOHpglH3dO/S9MWSN0BWoL+jz7E1JEGakQl1aPS3O1iJEXzUCUPiTYXUJAkiURXgjXvWEN6Qxo93ULmO9NQPgbIYpGwehLy+8Xvd+oYViWCL+lY07MoIZlYm/BNcRsySOC5Mk5dpjAVpVyIUJqNMDUUpWE7hCM+jYbK1PEI40cjc+ZbCSEdLJ8g84VnT0vuoiZufBszM90UCp1EO1JIsks5FwY5xuo7Z1FVh/ETLfhqE9OjKqODo8RWxUi0WFi5GQa/9Rayx+Pg14V1gJIQhmDLIDu8EuYXw5/82JPsfGxnMCT5BiUI5MtFpGeuc3ARS128WpzNS/Lp/y9hIMHFMBPPMPBLPkbUppiLYMRcBt7/Ch3dQ9iFKrkhFa9hUZmokDuYo1Ft4Doumac9URIKpcAaFV83fQp6P0Ty9rdgWzqr+qs4toRd1nAdkGQJx3ZQlVmyw+kzfpfscJrMF57BzovFsdkpg8K4T2VGDET2XB9ZcvH8EPGuOOFYmJgZA2sCvf6SGMXmOaKpRjEg0g1+Xfx+PzuO0RSiOAGGnudtP/MSimRjVQ1kDRp1jVpVQ1Z9kDw8T8GtKzTqMppqicXVSBRkqFXDIhP3bMCHptspHDp4hiY7l8kRjodx68KuIL1aobnHJRTTaNvcRu9AHNePUCyalMZKdN7TSXpDGqmcwUiq6BGLzEt3iLb9UBP4NdEcdJXn+koIJt7fPASlleViUU0YLbngU7KkxasL1aSvVopWPYl5WxdmOitKK15DSOC2VRn87tuYnYrSqMu4UgW3Bl7DY+gHQ5TGS6Il/Tylnf6PPsgzv+9SqVTw1Sn8uguej9Gi0r3FJh7OkPlOGHOtRfZkO3u+BId3xfE9F8er4+PjN3yUcBRZqgHCj8UPtxOKetizovEIawJyzzEzKlHKJXnyfz1CMl2idR1MjbRQyMokewv0P9zB9l/LiyA/+hPwfVrMaTLPryaku6ghF1VtICsqakgjEi5TdGPYVR0jVkeVbBwnhO9BWC9D8ZA4F633QriVZLqAVbAXFoztgo2syQvBvVFKoarj2EXAl1GVOv33V9n+mV/lyd89cXqNolEA3UQ3DlDINYk7C98XF42mO0+f6zdwwTyYeH/zEGTky0Vqy/mz2KV8CK8mm1/KdhP9Qo3hlMH3MPvyDLx/D6Dg1FU8u0EoFkLRFeySzandp/jWb37rvJnZ9OFppg9Nkz+ex6t7hJIhmnoMNg5M0tZnoyd0ClmZ7Av7GfycxfAr4NR8PE/B8zwalQZOrU6jVANZTK0PxcJU8xA1ozQqDZSQgj97kOmxKKOH24g1l0mkZsiN6jz9t+uYPmGTSJzCmsiKzsq9p4R/SSgNuEADtBjJNhvflYmmQ7Sslommajiujhrycesqldko5VkDTZqhvWeKjnVViPaC3xBBtnSU/rsPk39pJ0e+upODX3mZymSF6lSV9KY06f40rhPGdtoIxxWsfBm7Eqb/3/0MpLacOaxBE46LdqONZLoI9WmhXkERjpNTP4HvboOd74NT3wW0Ze32PB8r1QEa8MYTZOTLyfmsVpfC1WTzS9luKAVtb4eTXxKGUkoIc1Oc9n6Vkf2KUGDIiDmRPshhmfGXx09roLsnYeQJsvvG+dEfdqCGErTe1kr+aF5MKpLK5E5GiJkqttNKsvUkmec60cPTWPlVKJqHoseQPQXXaiDLLk5dQk9K+K6P7FdpVCHcFCbaFiXZk+TQD09QntYwEi66biPhMJNtpm6pnNjfTWkmRrrHRo/b7PlGG7GoRyGXoGapTAwlkSUfJezjIzMzFqI83SCaEDr1sGHjeSHCcZ9G1adaClOcSRI2hsgej2Ou8UVgdSugPygMr3wHqTaFnkhTK9jUTu6hub1AujPJ1MkkevdGjD6ZrXcfxFT/HvY9Q/87H2LwsyKQ67F+7OHnsa04W+//sSgR+a7IyCsnhAS0Miq8WRwbGnloe+h0iW0FsvKgwefmIQjk1wPz2fziW+rlkKIt3q5zUhgzGasgsQGAjs0wcczF9xSsUgNFVVB1Fc3QcOuu8NH4wrOYj34bQikyPzZxGy6RyCSSEyLWEWN2aBa74CLLKlYR7GqUrT/byvP/2CDRlAOpC18xQAkhy6IWroUbKCokmhp4kk61KOPaQnYY64oxc3iG1vUhfN9FlRuMHunFiE0zOdqK74Oi+FTLUUYON9HcaTF2uIV4KoxtRSlOKCBDoh0qOR/Pl9CMELKmUS05GNE6asilb+0s+YkY1aJOyFBZf88siqwx+NU+Bt77HGbnCYivI/OjFlLdEqs2q+A64I2TO+lTyuqoaoJ0l8X9PzeK+WC38HcJpUATC9Zm478x8O7VZH6oUhhOkuxbz9Z3fBvTBLy5Vn0tIRZYnTlLAjkkgnttBmb2wKr3rpjlbdDgc/MQBPLrhSvN5s/mfDXWeWnbYnWMlqT/gTKvfdvArkfwXBccF7dew7U8aMg4szqFwtDC4mshC5FmRUgPazlCsT6SvUkKx6u4dZeJQwrhOOx5Ms3ESYfRox1IoTj1Sh1JccFroIZsnLpKst2mc2Oe7PEYipwknGzQ8bY+ymNlrILF5HASRR4Hr4rnKowd6UaSfCQJwKda1ImkfIb3JcSiqqTg2D6+74MnUcr66DEXxYjh+QoSEm49huNYrL4zTyxVo1rQaVll4Xph4ikLfAmkGpmXtmD2TgtnxWccfMXBSKqkV4eJhYZo6elDi2g8+ocABtSjC81SC5JNtwblY5gtU5j//t0iw64fh4YGTR8Vxzz6pFDIzMxb94bEoq6EGJZRHV22bs/zETT43DwEgfxm4lJNSWdn/loP0c4WrCMWvlvHdz2QJQjJhAyX4WcP07elCFozAMkO0fA4eUQBv44a9fFqFYy4Q3NrllSng0MbQy+GcWo+shElFA9RL9dpWA1o2CRaHPSYRVufhdvQWH/3NOV8CaWpF2N9mtzBHHpSxynX8WsOTl2mlI/gNFRkxcXzFBStTt1WqZ1ScBoyTWYVTbVxHQNFA8/xadQkJE3Htzx8zyV9W5pwNE0lO02sw4bKceyKihwy0JWSCLyyhh5pUJgyyE7exuATa1BCgF+lUUswsteje72O4odJdix63+eapWhb5NRYzMxNCKqfViKB0NWXj4lF1eIRYK4pSA6LwRj1PKCSHWom83wP4+Mhal6acOsX6bizY9n9v6+HBp/A4/zqCQL5zcRSmpIWZf6Zx3bS8RaLtjtcMl/dg1WQkBVQQ6BFFGolqBY8dv7PGoVJESRrZWhbU6c4FaKanUFxp2lfD/F0Crc8zbEXPep1CcWIoxkRoq1R3IYLHrT3zNCxAVpbDwvlyVQM8CnlZMzbxNR3PanTsBqo3iQ1x6HFnCZ3qhnwkWQPVXFx6iF8yUNCQsKnlAujhMOoIfBcj0ZN/Fl7roSPh+RL1It1Iq0RFD2KFX0Hemobyv4MtWKDVW+OQzQClRPYtRTJviYyr7SgRyboWOMwerAJRXNQNJfx4VWkpQZbd4ROv+9zzVLZ18unh01ETfrvm8LsK8DETvEcLSFUQ5PPQr0IngvUEcHcAlcHJUJ2uJXBb96GJyXJz3QgaQpWaRan5nDwawdpWt20IkH9WhB4nC8PQSC/mbhMGeN8C78kS8RSdeLpENYsVItQmQaQOfFyM3LYoqXHxq6GsYsu5Qmfmh0mnhzh7vcc4Ogra3DqSUaP9FBveKi6jOPI5I/n8V2fpu4mwqkwb/+FWfZ80WbfU3djxCuYfTNY5RCFGRNtTCW9AdL9aUYHR3GKZXTdojDdRFivo0dsanaYRl1FUjxwZWTNQwt71G2N2XFJZMmWj4SPpEn4jQZIPslOCSXUoHyqzJZf2sKRbx6hNFYilOwg2hdC6Tbxkzr2sWex63W2vjvE8/8EiVYJqTZO18ZJcqdase0wyCoDO45g9nWAf3ph+sCRX2DXnx/Dc12izTKNRJzBL2sM7ChhbljUZGRnAU0saioS+HMaeRrgWmQnbuepf3grlUKEhptA04tEwlNUymEm9swS7Wxa8Jy/WMC7Vlnu5e43kEAuD4H88GbiMmWMi+VxeiKErDhoUQjpEG0Bp+Ejh1RyY11UCjquVaY6qyLpTdz+9iztPZMc3rMWRa2Tfd1G1RqEDBnHdkVdXJZoWA2sgkXu9RzP/D8m4xkwksJidvRoN67UTOudq5k6MIWVt4i2RUlvToPvosfquK5K76YhNN0hmqjgexKeJ+NLCqlVPqmuECFDGGzZBY9Yqoyq1Ummi7T1VWjrLaEyi85xjEiZyVcnab+jndt//nZ67utZaO4pjhYxujYx8LOTmH15kqaPXVFBjRJrj9J3j07vW3T6tzuYa6qiHDInM816v8aP/pcDeiuRZkWM4Rttw/VkMrvXnNlkpEZEvVxrgnAb6K0QMUGJkx3rY/CpB6mUWzDam6mXbKozHjU7TL3s4TWq6BGXWrF20aEO16rR50r2G0ggl4cgI7+ZuEwZ42LVQsvmPoafPUx11iOalsF3cWsSTaubkPUouakUNMqEozncYhapMY2RABSbUj7C9FgcWfaRNI9aVREjK1NhGtUGepOOElaozCq4skk4NIvk14Awuck19L5jLfVGFiNlUDhZIL0hzf1vfQGz8zg7/+XNWBWNaGKU3FgL1VIU31LRYy7ReAW8BvFUmFpFQVUb3Hb3UcqzBkpIwdDzIKuUZyOMn0hTGMvRqIfouHvtwoSbc2Zy5jfBkcfpf9NOBp9YBzEHx28me0LHmoU1AwbZ7AbMzYmFReTMYzuFmqc1hSQ1o8UBq0G5UEMzStA4JM5H810w+7qYiTo/QBVERq7GyLy8BX3DQ0StCRrTQ4QiEo26jDULjZqMpns4pRx6Sx9w4YB3rbLcK9lvIIFcHoJAfjNxmTLGM1QLpRR9b9/I0M4TyFIdTQ+RWtOEFI6KSUDTs1CbQNZU9Ohcw4xXw7EkskeixNM17JKM6ypIyGgxDc/xCEVDdN/bzcjgCG7NRW9pomFF0QwN1fexizXsgk3HnR1nDjh+/i44NUX/3QcZ/PZb0aM1ejePE29XOfKSQVgv48thHNtB8uv0bJigZVWZ7R95keyJJIPfuhscFacRYvhQJ/gQ0i2wJhkdDNN1l0FMP4FeK1AYTkK++fT75FQw33onA21J9nzuOCf2qhjNdVbfE0LRYPCf4wz87Djm3NMLJwuohsrM0Rl810fVVYwWg0o5Rl+vIsa/zZEdt8l8K0IhFyfZatH/1hOYvVnQ4hQKvSTW6qQ3pRn5/hFCMY16DmoV4a2lhmUcq0HHpjRw4YB3rSb5XMl+Awnk8hAE8puNy5Qxnq1a2PnYzoUMqTxRZuS5EZyagxGapeEr1CoKqzbPWa8qBtmhFoyES8fqKUYOtaOm0hSzDp7jETNjdN/bTaw9hhoWf2qR1ggnd53E8zyUkIKe0s//wd3wCaiOYq5/hYFHXyPz/HoK0220rEtirs3w2g+7qBYNVLmG77uMHVtFOHKS7OSbQJlCUysMZ3opz0aIJOukO/OcOtJGfsxHjcxyanCYDQ/42HaCZJt1Wt2zaMHY3AixVpX1d2cxkgrE+sSxuXUyP+nA/AXxrRJWsGYs3JqLElZwGy7543miLTH67x8V8kQtSfb1MoP/0ozeso5E68tYFZXBb76JgQ8lMTenSG6+C6tgE2uP0X2XRu6YQ72qgi8GVdcKLq0bNKKt0YV5rOcLeFeT5V5Nbf1K9htIIJeHIJAHnMHiDMn3fHzPpzhaxIk3aN8orGeVaBLfKWLbYaxiiNX3qMSam+nueBO54z5aqUg1V6Xt9raFoBNti2LP2kzun8RoNbBmLOrlOqFoiA0f2HDuBze1Be78UzjyOIy8CKEEGCbIEms3H2ft21vZ8w04/iMNIynT3X8KRYNn/mEzeC4hdRLdsJmdSlCcVqlVNcIRl0bdxbEK5MsSuWEPJSSxdYdxuoPyrAXjwkw7idgQNOpQHgKngo5CITdw+lh9UHWVUCxELV+iUbGQfZf21Qrmgw+L4c7Vk2R29aD3rMXo6AZrHUbxIMyUyBzYiPnRHfS3tC2899HefhSeJ2kaDPyKirm6QPb1CpkD76IwWrxowLvSLPdqFSRXut/rQQJ5oyP5vv+G73Tbtm3+nj173vD9BiyN7L4sex7fw/Hvi0HL5p0mavkl7Nk6bf0hjjwLpQmHeKpAJGER7+3C6NoEhhgAYeVFdhozY2dkdnse38P4y+OiazTiEInmKIzVcN0w/Y9uov+jD57zgc7uy/LMf/w6lbEsjl1H1UNEkzUe+mSNzK4EVnYUI2pTnpY5dTjG1GgzngehcIN4U4marVMpRpAkidbOHMghynkdx5Fp6yny8O9JmFvSwq7XGhXlqEVe7DsfByubxa1Mkxtvxa5GUMIKHRsaPPIX90JhP09+uoysx5geiWDn8+hxhZY+Ba9e59H/c2xBx//kx55cUAnN43s+2X1ZOu7soHCyIAzDJHBrLslWm/67D2J2Xb6B1pVk1ovvxuaZ//6Mstcy7zdg6UiS9JLv+9vOfjzIyAPOwdxiEmuPsf59609/qK1NVKZe4LVvKPTeLdN7p4NdVMkXtpEvJsBOUDw+wdhzY9RKNZo3NHP//+f+MwKAW3NZ9+51SLVJyoeeZ/RAFCUcpl5xOfKtV9j35ZOseXgT235T/J1mvvAsr33pIFbeJdamYLSuwnHDzEwW2fPlMVynRqK1ifKpMY681E61aODUFcCnjk6poBJtsqEo4fk+lWKUWHuISLJO58YpPFfGbD8KbD+t7jlrwbi1t8oPnoxSLbYRMmTCSXAsKE55ZL/5F5j33EWyqwlrtkbf2oxQoYRbsIpgtIWFquUHT7DnByc58p0jeK5HU28Tq+5eBT4M/3iY0qkS5fEy5p0mSljBzttXraO+kix3OWrrQXZ9bQgCecB5OedDbbRTLq/GruaYyNjYVR29pYtYbxo9oVMaL3H8qeOoUZXUuhSe4505w5NFNdT6QXIjERRdoW5BvapgJH30aIXxl8d55vefgXqRVPIQtVIcFIXKtI+qjBFq6cRvijN6tIf++2exJoucOpqey7pBUnx8V8JzZGpWCB8NNeziOT71RgTNkOnY6KI4DYxmVzgQLp6XuWjBOLtvnMM/6UDVLbSGjOOAl4eeN0M8mifznIn5QIr+d8Lg58OAjC6VsGst2EXY+kHInkjyzF9YzEwPobfoVCeqzByboTxRRlZlrLyFoinkj04xe3SM3jfNEk+Vyfz5v2H+v8xzs/AVtLm9VI07yLavXwIdecB5OcOCdY7ZcYeGE6WhrSXc3kvDCTO1f4pStkR1skrT2iZa+1vREzpGk7Eww3Oe/h39opllpoRdVsSwnzxEmkHTVTSthlt3qZyaojJ8GEMdBa+BorjIqkS1oEEtJwYzKzr9v/lx7Hors7kUPgqSrCDJMkLa5+O7UK+CU5dQQz5qyMMuwfgRg/xMJ/33TYoDm7Mczo60iWk5v3uCnV/YxJ5vdKBHSsiSS6y5RsgQE9pO7QfHqlGYFtYF5gYY+GUwmjSKEz5GQnxvboDM92tUCgbhRJhYa4xkXxItomFNizUCfJAVF02rgu9ycq+BYzcojNaEh/xiG9tLTZLK74N9j8Huj4mvl2l/u3B+8paYKDW3oNq/oz8YQnGdE2TkAeflfAtX85pwTa1BZQzNq+HUwtSmXEqTPtGO6BnbkGSJiX0TYl7lXAY38KkB9vzxq5RzHp4nGnkUDeoVl9J0GJ9Z/EYFfW4SfTxtU5jQUcLQqCk0rDq1RpG+O0qY1U8z8PBRjj33ILLkAR74gKQIAyx8kMSA6EZNJWyUKU1G8H0Vu6AxPbMe830fh4kfkP3nf8/gE+vQ080k2vuwjuzn+O4Yq+/IIUtN5MdV1LCDpqvUqz7D+9voe7O78LuaG8D8uAOz+6G9SejG6wUKYyqOn0DXxUctHAsTWhdi8rVJJEUiFAshNUpIioyq1mnUZLLHm1h/x3HIvijmk+7+mMi6S8eFe+X5LBgAXv19sCeFb8zsAZh5Ce74kyVn7BdTkOx8bGfQgXkdEwTygPNyvg91622tVCdnaMxOoYYVnEYY33UJy8PQ1otVrGE0iQ94vVxn9sQssiqTP5ZndPcoB792kC2/tIViwSSSHKaU03AaMrkTPooiIYdDJNttihMSVtmgPKPQuaFMvapgV1lYJGxuzbJthwtGF+baA/RvO8LRvZ3UrTBOTQXp9AK+oko4dZAkGUnTaWqqohph7GqYXV/opaXjy5htr7Hn228lNxbDPVFHN/aR7ipiJMJkT7TgS77wdfEc3LqPqnogK1CfguIkxNeJGrukwO1/sKBSIdKD0raa6t4cpYkpQtEQRtpAVmRUQ8Wtu0Q7o5RPzAIKngOK6mEVZPrvOSHsbUtHAVfo9ht5qM8IzxZjLnjOWzAceVw8V0tAKAmuLS4q8xeBJZZhLlTjvlba9IClEQTy65FL1UFXehzY3PbN6knMHae3v/OxnUy/OEQpq2BXVPQYNPcotHTKtG7M8fT/FBliOBFm5vgMtXINLawxc3SGqBnFcz1+/Kc/JpQIEWs2aQrnKWRdrIKCr8m0bmxBtofRYxpOXWL8aIx1b56hY6PC1AkdvckTAVnVyOyKggZmz12svv0lTuxrx/N0fE8Ee1nxUMM+oahKtSBmONilEOEoSMkN6Amf4rFhnvqLdsLRFob3NxNvqRGJ12lYPqOH0qS6akwcT6CoHolWm8qshtvQSHRKdNwWwrXTUPgBuFXh9b7QfPUhQNSUi7lnUEIKju3QsBrUh+pocY3UmhSViQq+6xNrV6hMe7gNhXiqSLpzlszuXp6fWE8yXaL/rccww1nhzyJpML0HtJi4eMghSG2F3G5Q42JgBQivcysL9jgoUZGlL3bCvEyCDszrm6BGfr2xlDro/M/RxFiwH+2AF35zeUaCXWT//Tv6kb0K7RsVNj4I7RtBlqH/XWE233eSd/63d2I0GRROFHCqDuFYmHAyjI9PabSErMjUy3W8uocWTxJu76PtjrWEEmEkTcX3fDQjxOptddbdr+L6cYrTUdLt0zzwC6M0bdxI+/o65to6VnaUwcdHOPDNKQ6/vIEms4Bu1JFkDyRQQy6hcB2Ys/eWQdE8rKJwLbRmLOoVl0o+RK0cRlF9KvkwDVtDC7koaoNizmDNXTNEUw3chkyLOcvmdzls2K6i6hLJngS0bxdBfMtj5wTIzBMZUmtSrHt4HanVKSRJAgmiLVHe+z/fy0N/+hCSL+F6cZpX1Vl3j0VTawGnrmCVZBItJayqweB37iF7Iimy7fIQFPaJ+rnbgEZRWOg6FbIn4uz8xz6e/G9r2fn5TrLDrYAqfF5m94ur2RUOeb5Y/Tzg2hNk5Ncbl7Kinf+5W4Pp3cKQSWuGmZevKuM6Z/9eHSZ3nc76jjyO+ZbHGfjVKJnvWYwfNqiVIBwXC3r8VA+bP7SZzR/azM7HdnLku0fIH88jqzKSJOHiUs4KpYZbP11bplFG02p4uPTfkxVGUqVDWBXofyjE9l/ToW6w88n3obcnMKoHoTyEEQ2Dp/DiE80oaoWJoTY8ZIxEg7qlUbc1JMkjpDhEmxXqFXAdH18KU52uMntiFnyFRl2lPCuRSNcoTOgUpkKoWhN1SwVJ4d4PD7PtvScY/EoXerSG3tIhJiHNqVJwbTEg4jx3R4vdJTc8IqYyzTdYzZcwWja0iPLVkRMkE8OUT0ygKFWMSANQMWIeyA0yz6/B7H1RXJVkXZyf+hS0PUh2tIs9/9jC8VdaMJIuZk8Wqxxi8DtvYeDRg5gtc1l0ZRSU8BX9WQQdmNc3QSC/3riUFe38z/O7RBBXDMAXmdlyzHesnhS377n5i0RCCKez34f8Psx37IDqX5Ifa6OpQ0OP1LBm6wx+ZSMDG7KYW0wKJwuYd5rMDs3i2A6qLurB9VIdJaTQqDSo5CpEEj5OYQxV01CiMla+hm4cYmyok+y+KorqMLQnxd2/9VMUphwSXTpU5urfroWuFslnb8d1kvi+hxZy8X0NRXXxXJA1heaOMum1CtVKnBMvGTgNicpkBV/20UIhQlGL6oyKrDSINNWYzRr4hoQWaqDHyhx+Vmbg/ScYeLRI5qU3URgaI9laZusjJcz2KEy+NlezPneQx1LKEadr0tsBePKjf0c0tBca0yJYO2X0SJVCLgl44tYivl4MrXAtsq9XGPxWnNwJIeEEGD2UpntDDT3WIPPyHZhbTolzaU+BfJtQtFxBWS7QiF8dKynfDAL59cZZnYXAmVa08z9vFITHNYisUEte1Hv8svZ/6ruLLhIIX5VQi7hIbHmMzIF3oTcdxDAKoCUxVm8FO7GgYJgPYL0P9HLyRyexCzZuzUWLakRaItTKYj6nW6pixBXa1sv0boMjz4bJHlGpl6uoRggjmqRUUnn6D4/S8eYO7IKNgSuabkpHsathJBkcVyGs10T9XGqgaGGUMIQjKu2bFPSNj6AUbLrDeUrjJZyqg1bVCMVDqGoEb2aamVMasuQTivikOhq4dYmutRMoqkPmxX62f2wWs/spUEJCSeIDE8+LgJp68MwpQHMX0ytpWU+uX401rmIor0LlOKgx7IpBsmVC7CO6WjhoASg6mV1x9Ggd148Sbm5Bqk+DnyeXXUXvbVkKU5G5hdKCqLFXRsQd1vkmSM0R6MWXn5UeoBEE8uuNS1nRzv9cDompMkgikDfftTzzHbt3wNA/Qah5zuHQFttvuWfhIlGY0kmsfVCMhZvDmS2R+br48NdKNSZenUBWZWKdMYojRSQkUqtTrNq2CiREq34+z/r7Q7Suh8M7IdYG3gFZNPX4Po7t4NZcwk1hZk/MohkauEl0/yi2FcW2ozS1V5kcCeE0VNSQj+ep+FKIcATWvMXG9eMc+PIB7FmbcCKMJEn0bu9FkiVO/OAE5fE6ciSJQgPHcpAaLj7Q1T9BLKXj+yrjxw12/p1GYWYDybYa/Q8UwCmTefYtFPImyb4Y/dtexOw+JS6uYRHQr6QcIYJ/HlJiipF9KoNdr7D1vTlof4fI/nPi4oDvU5iKkeisord00nDCaLE+1FAae+oUtqeSNGdFCUbSoOkOiFxAvjgXyIOJPSvDSlsLB4H8euNSVrTzPz/81zDxtMiU0/eIwH4R7/HL2n/7OyH/ipjsriWFKkIJQ0gMqjy7ZFDOlhneNUw4EUbWZCb3T+I0HCLxCI7l4Ds+q9+1mvbN7Qu7WffudRT3jbH91/Ls/NsUegImDonpZ4omgSzh1kUW71gOjuWw6u5VDP+4CSrNdK2rM/DIXjLPr0bV6mRPtNOwfTTDJxQBVXNZvbXAC9/tpJqr4uNTr9RpVBoc+94x1j28jnAiTL1Sx627GE0GxjoDrzBMKBoi1lQGKcz0qEphXKOpqUGiKY9VNPjO/7qbygzIXoVIvIzTyDN4YhUDH/Yxu06JbtH8PkhtuXg5Yl59lN8L9VkINWGm7mTgNx4i87RH4WSd5PrtbN3Rj9k9KS7gSlhcVHM/AWuMZEs3ltVMekOc0ZctAHw/hJJox66cYuv2IfG30XKPmE6knaUyOesuLpjYszKstHzzqgK5JEkfBh4DNgFv8X0/cMJaDi5kRXu27PCOPzutWQ51XNR7/LLY8AnY+2moTc0FpVdEOeHOPwXObRYaf2UcgI67OsgdzBFOhAknwmiGxsb3b+TId49QPFk8I5DbBZvkxk1Q/zaF0QiJjhB2yUPRJDxfRZYlPMdDVmXsvI1qqCghhY0fvAP70Bh2Lgp+jf57TpCfbmd1coriVJhqtRlFrfO2j4c4ceAeJg9lkVUZTQOvVsJreNjTNuMvHMN1QyQ6E7g1l64BsS4x8sw4lWkXnzB2ocHUUIy27hxG1J0zs1LIHa0hyT7pripODSaHk7StrpL5UQrz58cgufnSaxXz6iDfFY0+kiw04koEUz6O+R8+Banti15gnr7AV/YKzfqq99K/Yy2Df++ge3vpvPMOspkG9ozNmgea2Lb9Nczb7gTHFuewdEQMfk7fd1qHftZdXKAXXxlWWr55tRn5fmAH8L+W4VgCLsb8Bz+UOl3fHPvG1atULoQ0Vzbxz/qec0sGbt2l94FeYu0xRneP4tQcSmMlXNtldmiW1PoUhRMFrLx1Zq34Uw9C9yaSXU9gzZTQ43EibRFK43XchousytSrImPuuq/rdJbYtw383WRef5jtP7ePAfUAmd09qK1bWL35joWa7o+2/g0AqubhVss4NRnPkfDqDnZ2CC0aAaWNroG1AOQyOWq1CNQKZE+m6eg4SFOrQrNZBCUCboXcSBPgATISoIVckD2KkyqqFoP0AOhtUD158VrzvDoo/yqohliPcC0xPSh1x7kXgsUX8fosNN0O8fWYG2Hg/yiR+f+39+7hcdznfe/nN7OXGewNCyyAAQkCvAsUKVKUKUtQZImRZVtNbSlmlLS1m1Pb6eNa56ROznP81GnUJDxN4jaNe5KmOY2Pjx3XTmXHPbZsKbGj+CJDsmNIJi1TFCWueBFvILEgLotd7O7MXmZ/548BSNzvIG6/z/PgEUBhd36zi33nnff3fb/v3w2SufYCu+5qo/2DD2FFn/d80Meqm4xNYPd4w58bHgCfMekuLtYaY+DsAMNXh3EyDkbMILI5Qv2u+iX/E9tILPcAjUUFcinlacDTxyqWl9lkiUt9rPB2qHvbzX8rpccda2zJYNT+FMAtuaTPDyKoovurlIeHuPZyjk33bsGMm/Sc6KE4VCRYG/TmTR5pp/2Jj9H16S70hhzlK70ITeCWXS9eVsFX46NSqJC7fIlw8AKUMxhhnUxfAKI7sA63Yv3qGPVF+iSc/AzlgRLVQoD8sES6GpoOmqjgCg1/QPCOx1/jzM924fSH6DtTBg0CsTDRpjBDl65DqZFiIcBAb4JEGyB0HMdE112EqFJydAoZk0rZR1UYNNwOmN5rlepupevZMbXmnit0Pdk5Mlmo2Sun1O73MmL/SAasGd7PFQeuf/PmnVdsn3fRHr2I978ExcEbj7Nqf4z1wSDIEjRGofQ5SGe957/+bSj2e5m/ZoAe9h43+DK0/OKku7iGfQ28+qVXCUQDBKNB7CGbzOUM7e9XevHFsNzyTVUjXyvMJktciWONZIntO3vo+mozbNpBoc9roxSaN5pM16q4lHB6B2k/8h7Sb6WpbavFiBneRtqnvk3H45fZ3d7HD19qwGfUoJtebd3JOASiAXwBH7mrAzjdfWxp7yNcW8DJG8TqAnDbb07OXE9/mtSlBIgICIlbliA0ZMWT7wUNl4YtffSdLdPxvld57nMBqpUWQo0hahpqGDwzCDVNOBWIbinRfSoAYaiPvYkeEGi+Kmh+hq6H0XwuUrogXbIpjdTrw1htaZLH7sMwc5ilV+FyCrM0BIZF8kcW6FmSfxMkMzRMLHGA9nu7sXZVRgY069D34nhJ46nf9zLw0Yt3sNHLyjOnvZ/1keHFvtqbv5O/7LXs598CzQQt6GX8QkDtnUD5xszRsXcO6bfS1N1Wh2u7nkqo1qTh9gb6TvWNNqwuCKWEWV755qyBXAjxPWCqoz8ppXxmrgcSQnwU+ChAa+silRUbkdlkibf6WGNKPdYdTXToWZLfO04lH8OM4NV8Ac2vUVtXoZTOTN5IM7JQfY3kdwKgJWi7q4gZSpOTd5H8Vh+BSAA9oOMP+xm+PEgoUqbvchg9oOHkBAcfOknqW58lee7xmwFiXyfW1jjJF6Ns2uc5FWZ6qsiqZ9Kl6ZJtd1ymrmmIzEAd1pZXicfO07YvjQhZXDyZQDeC+AwfxcEY9ZsvAjB83Y+/EqK57RrZWD3p61GqFQ23oiOEYOsdA0SaTZIvRrE+9SEy//dPiQZOgN/0VD+AoafoecMgfTWKYVSJRnuwbYuurwk6jpzH2mZDuQCVIUB6DVnRdpBlyHeT6tlF8vuQuXIPsehF2u+9jLXD9iSRbtHblAbvohuohczrgPA2raXrBXFzEwydgE3/CJisUul+qRvNp3kj+qww4DUxLaZGrpQwy8+sLfpSyoellPum+JpzEB95ns9KKQ9JKQ81NDQsfMUblS1Hbvpmy+rN77ccWZljjS31CA1rb5TDT0Dz9gFCCY3EVkhshdpNUHJ8uKUKrz31Gr0nesmlct5zZE9jRINkrptkUgIjFgTdpP/kBarVKn7Tj+u4hBIhIvFh3LJOrt+H6U/R8d7jIDS6vmCPt1b9fJ7UhRiZHqhrgW33QLgegjUlonV54okhGjdfx8n7iTWVoJgi1lDAGa6A6+D0XcWnO1ScCkZ9HBL3UdcWIG7leewP/Lz3iZ9w4OEe7IznBxMIlGjbc5VG6zyGb4BMf9xrBopewrFrvGy5WgTdwHEMihkHIwpmfQxh1GImajHiNSR/st1TIJUHwbAg2ORl0P1doJmkkiW6vgh2FqKbTeyyRdffHCB1MQYIrzY/dgMzficERyWkJW9zVA95JRn72o33cuzFVWiCUGMING+/YJTFbspNPIYZNzHihldaUywJymtlrTAqOwzEvZFkIx7ay7LROZdjpU94X93PQG+nZ9Dkj3H3+96ilK9iD3ve3dk+yPVJErt8hDeFsTM23V3dXjAvZ3AKQWLNEGsGJwe5/ir95x3KuTx2XxZBBYCacBF/oMgd7zjL4Q+8htV6neSLMYyaws0AYWQxjDTJp08Ti15k8KJD/1ug+71SD0JQKem8/tJuLr6xiYZNXqmo/cEcTlZi5w2MsI4zMEDFqZAYnVafg5jlgtFEauhBzvzEItaYJ24NE4oNM9gTI5etxRl2iemdcOlrtP9cD04+gD2YR5Zs7MEMzlCJYKAfo3QcBo973bjRPRh7H6cn+x46n36QZ/7fI3T+9QFSF8LeBujIhSD5UitGqIgZkeT7i/SeM7h2eRfPffmXRwZOBydfdKWEUCvU3gHBeu8uSfi8i8QYGwEjZtx4WxN7Esiq9Lpfl8hTZeIxQClhlprFyg/fD/xXoAH4lhDihJTyPUuyMsVkJsoSRwcJLJUL4lxdFdMnIXcBEN5t/GjmGNvL3sfaoKaPY9+oY7jPR7VcpfVAkZb73kYuG+LKj68ghaT/dD9OKEbfWZfaFp1IA1w/U6LQX8GtBpFVgVuWFAYKBK7146sYaD5PbjiqpMn0R4haglxvjv6TF3GuXyMYqscwNPb//BVe/U4DgXCRUGSYSjFGbtAgWOMgRRmtXOXFr70NAgn2PthPx6+kSJ7YQjCq4wyXaNjXSCicw77wMk7e5OAvRqCUJvlCDUZUp3lfiCs/zePza+g+l56LFonWIgfffQnO/DnW/sN02CdJfrdIpq+GWCLNwXe8TPLYbdj5Wsxw0bM+6H2ewfzdDF0oUxscJtpSi91fpOv/20THL1/Fai1A1SFTvo9oXZpc7zDdr0fQI3HMpgj5fpuub99HR83lm7M9RzcwA7WepFHoUNM20txlQ+jm/sdEWVy4KUzTHU0MXx0mO8uQ57minBOXn8WqVr4BfGOJ1qKYyEyBdSo54mJMs+bzfFee9jbfhk55wUE3vBpt5nW476/Yuxv2Puqt+5n/2Ep0111gNhE2Yct9W+h7o4/0W2mcsEHj5rPUNWVxijHyfTGqLlQrfs8VICSolmHoYo7axgAPfeBVADq/so9Mf5R0Xy3DBZNh5wq+aj/Cp9N/JUC1HGR4MEz9pjSVog+n4EfgEq4XuKUA4boCvgA4wxo//Ovd1G/OYr29FasDKA2RuhgneaqezIlOYo0BDv5KAGs3QJzMQA3RxgoiEGTLriT915qwCzUINDoeP4e1Dc+NMLYPq/a/YP2KZ75FsY9RGU7Xt+8HYWLUODh9A/SduUDD3QcxY73gOphNFvSnvXr7rw6A9S5iew9gp236073o8TJ+00/ZLhOKSwz9MsnnMlgfDXp3Rid/19sMta95zUDlYShd8t67YMIr3YwwlSxO0zUe+bNHlqx+vdzSO4VSraxeZgusSy1HnM/zFS5DeIenrMicHpHQxbzW9LEdqEDszpHJ7CPDg8JNYfSAjqjkadp8GTMcgrKLKTJomLgyQmK7hnShMASVoqDqumy7z6D+9i10PbULt1whNxBmaKCG3NkAoWaHGqPEUCqAAMINGkPXQ1RKktY9/YQTOsl/0LGHA1SrBv5Q2DOjClUpZDWSr9yJ9Y74jbKE9c5fw3p8P7z0Je+1H6OujW0OYKdLmFv3EK47Qbj2ErYdwYz5sLbnoZQFc7PXqBWIe1l3eQiviimwWvvo+IUfkjx+B5m+OLGGYWJ1Keo3V0DbA/0/Bt3EaNhMpqcE0QDseoL2I410fbqL/PU8ZsKkbJep5HM077qCYQbIpPzQ+5x3YZU+8I+84M4gVPNQs8XTwleGvQvNmM7TpZTFTadOUc6Jy4sK5CvJTBn3bIF1qeWI83m+UVWL0eR9wWSVywjTZWPBQD9GNAh+w9uUA2rqBuk5pyE1z2rbFwCz1qWmVsf1t5H8YRpXC9F/zY8ecIk1VcgP6xT6ChS1AFVXovsFpQJQrSI06L9WT7jFjxEqkOmrQfeXGbgcoJiPI/ERjProuVAE+zKp7laSx+4j87kLxFoHad/XirU17WXo34dMD+h6kWxvAORLGMEGnIE+nLzGwQePwdCgt7HY/Ii3f2Bugdw5z7emkodKDqhitfYBSZLH95Dpi1IsGHR3JXF9W3EGtmEEhwjX50lsD924cFtx6PhEB899/Dny1/OEGkM0t2UI1waw8waxuovehbWQBUoQ2AxuEMo5Tz9e7PcUMPVv87L0aXoCFsNs6hQVuJcPtdm5Usw2QKJweWZfjJpWLxMey2LkiPN5vnkoaEazMTNuku3OYsZNOj7RQfMOb6MTIDcAF4/BYCpKpaTh5CSaD8pFSTYlyA7W0PN6keRPtjFwJYDuL+M3fIhQC6H6CJquUSlrBENVAjVVKiWoVqtUihpD/WEuvBJiaCBOyfHh5HTsYYEUPhAaJVvSf7We17v/D7qePYDtRG8Goa+18vpzJbq+UMLOSKIJB10vAhLXNcgOb8Zs2kTHY6ewWi55Qdx6j2dMlbvgTfFxvUYpz0myCkDqskXXt96OnQ8STeTxBatceaVK9lqWQDyKXWni6tkWGt75y+Puhqz9Fo/82SNsOrSJpgNNhMIZ7FwQJwvt91yAasUrqZQGvQEUbgVkEaK3gdnsDcEwmuZ8wU+dTHnDqD/yDJ1HO2cdtKzUKSuHyshXitky7tm03LO5JM6X+TzfbMZeE5gyG3skRtcXShQyAXrPeIIK6WoYtVVKOR8lqvgMDTQ/xWHY/u7NpE6kGHjTIb6jGcLeRSAQLZDvz3sNP3oN0i0ipEskUaZc8mZ4FoagttlHpVIhP+BD8+nofh96UIcqaAGNY39+jKYDTRPMopo59nd7adraP96yV/wEMx7m8P8K0Ai9CVJnm0j+QwOZfDuxZmi/5yBW7HlPQ17OMjIRAtBIHmsfUaBo4K+j4mhEGjXcUpXScAmz1qRxb+OUTTjWfovdj+7m2J8fY/itGJGGMnd/wI+1LQ+FkTo4uqc9ty8BgRGv+tqbTzKHC/5CtN/Kp2XlUIF8pZitlDFbYJ1rMJ2rEmXs841x47sxGmziY6Yz9poj1juP0FH4M577L01I10dN1KViVwm3NGMP65SGS1ScCv4IGBEDoQmqbpWyXWYgOUB9ez0aDqKYxqipIKUP19EQoQjhLSF0WSR3rp+d95Wo3+qHahFnWFByggjh8zYLnTLlfBk7bTMgBhA+Qf3OevqT/Z7PSNQgfblM2zvHW/YatREyV4uAdzFJnZF0fWM7RkQSbQJ7ME/Xl6Dj3WWsNglonoe4dMEXJzOYINokbjQLOYUAoeZ6So6f9sc8md90TTipkynOPHuGpgNNtN1t4Fx6mTPPm9QbYaxGF3Q/SM07Fni18koWavd6d09zvOAvxAVRqVNWDhXIV4rZMu65BOrZgul8lS2j/5Z7C0Jt3gVksWqYqdY0ck5We5B4c4W2AwVEMMbFkwnKlSBmnQ/N51X9dL+OrEqu/PgKxVwRoQnKhTKpEylqasuE4p42PJJwSbQOUig04mRSoBcJxXXqNpe9DUd/DKMhgZEvUSlV8NX4yPflQYDQBFJKLnVe4vqr3dRaZYK+InYqiOsEGTg3QGJ34sYpOOwg1ngcSgXwx0h2tWCYecz6TeDmMPVuCOZJHt+HtfsNLyvXg16N3B0m1hrFzoKpZQAdo3ETtu3DrL2ptZ4uAI4PsCbmtnuh+zTJH9Vh/ep2r3uzkvOOqQXBVwN7n7zpkjnL3dMok7JruxfDOU3meA5Odk6ZECh1ysqhAvlKMZdSxiKz3gUpW5bTnGvihaWcIdbkYPsOYTZtIXFHju4uzz3RiBlUnArFbBF/yE8xVyR3NQcC9BqdaqlCIa0TDAm2vh36zulcfytAW/vr+FrjOGkHvy+H0ycwt3dA7e0k7sgxdO0cFGG4exjwDN80n0YgHMAesLHTJSL1LtneIBWnit/Mce7v3qT3RC+hhhDhzWF0X5iDH/0lCDwPhctkMi1Ea9Ne1m17dWTDLJDprx3ZdxBeIK+9EwoXaX9fC12fz0NNC8amdiLCT6arm4bbG5BVOWMAnBRgzSaMHY1kTgKNW8YnBqOJQtvjzNcoZVx2bfdC/49x8jXEWkLTXtyVOmXlUIF8pZhnnXlBLETZspzmXFNcJNofztL15fNgJAg1hkjsTdD3eh9G3CDSHCF7JUv6rTR2vw0CNE0jGAtSymaolDSqFWjaCaE49LzmcPVMjPZ7r3DwF94EWaXr2QNw/kWM9jqKw350v+fdYg96z+cL+m4YcxUzBU+33uMjEIRQQiM/IKiWy+imTr4vjzPk8I7feQfW/XuBBwCIva0Tu+cKpnbek/dpQRzbJFaf8TTkoxvCxV4IbYemj+FvO86ll7rhjSFa7m3h4f/0MH2n+mYNgNOWL0a83W+8X4vcMxmXXTuncfI1OPkgBx9nxou7UqesDCqQrySLzbhnYyFGW8tpzjXFRcLalqfjkeMkf5YhcylG4rY93P9b778RDFInUzz38ecYPDeIbugEw0H0gE61oqH7JcW8V7sO18POA1fI9vo4/EsveGUF4aPj0ddIvtRCz8snGMq00Xyomfqd9XT9SRduySUY9Z4PQAhPLVPfCv4gDF0DzSfwB1yMiMHW923FTtuTNiFvjme7ByMKTu9FHCfOwcOdnpIE4XWjOtdJ+f/djU3E295V641yu3ieeo6z9zeOTBgmMZlpyxcj3u6LTQzG6sD9IT9u0SV7NUesJcTBxxlpjGL5nDcVC0IF8tXMXDcqp2MhypalVsOMRQSg5+89mZ4/5k0dypzC2hHFuj8C5TSUvkUq28zfPnGc7h+dg/IQdZvyBMwQ+HQ0v0Y5b+NWJLJYxfXBqW9LwgnwiXoqhQpf+aP3UrQNgqESzW19tHdcgJ/WUnvwwRuZ7OZ7N3PphUvYaZuahhrKdhkhBP6aKiVbkO/3ZJFCg9gmHScz4mA4hQpjXEnhbBsx8yQH353B2hwGe2BktqoGrkby669imAcwjRL0/gBT5MEvSH6zipV4Eg784Yzv8czlC2tRicFEpcroRaLjQ2GsrbfIeVOxIFQgX60sRQv+Qso3y1XySZ/0OgrLWfBFwC3A9R943zcdvjGFPnVW5/nPPM9gT4SArx+h61y/UENNvEKur4pTLOOWqwitinQ1dL1EIV2hXJDYhWbiiRR9V+twXR1dr+KWJOn+epxCEGvHzc3Etp9rAwlXX7pKcaiIWWdy/8e3c/UHL3PxpyHQBHpAoulV8hmTeJ23+TpxE3JiJ+M9n/xHWPbLkL4KparnBa4HQARB6GQu9BHd9CMo+TwnQj2IEdHJXA/C8Ctw9i/g7X8x40s51/LFfD3Ap1WqHNuDtWnpyjaKpUcF8tXKUm06LqR8sxwln9GpQzUtN9v6EV7X42h3KJB8IUL6SplibhjH9eMLavhrIGj6aNpR5NqpEk7eD9UKgWgJTUCp6KOY1zAjDoO9CQLBIkGzRKXso+dCE9ujKYqlOm9QwpjacuPeRtrub6P9SDvJp5P0X8iQHthMIJIhFCtRrQbI9JpUqxpVWb3hBDi6CTmt1vqjH8CKFiD7pqcgqVY8GXnNJmJWBTtbxAxcHWmZz+EMa8TqqoDuTf9ZAlInUzz/5PPkr+epFCtcf/061356jYc+2eKNgZviLm9aHXh3adzFfVIH7AYcErHaUJ2dq5XZOjvXGqPnYzR5GXjLYxC7/Wbn4wg9r+cZvg5UCuh6iWrZpZAGJwvBcIBtd1zlnseuUNuUI96Yo7YpT8OWDEKTyGoVKTV8hg+h+fAFJFJq9Pc0kBtOcPbZU5z9eifDJ/4G+2wnTm8PDfsa6Pp01w1P80o5gDDjSHMr0rCo3Z4gvj1OOVu+0ZU6GrSm7WT8XtULfNWSd3664Xmd+MK0vyONM6xj53RkJYc97MPJ19B+dxLy5z3p58mjNzt858KoC+ZLH7nx2ON/cZzBc4MANyxkB9/s4fh//ua03cSx1tiNEtIoN+5A4vth/1FSNZ+a3AH76a5Zuz4Vy4sK5KuVpW7BX2mmOh9zM2j+m63+w2cppnPoAQGajqCKJopQrVDKF9GL50n3hHjjhVqcnB87F6Rk+xjsiVAu+RgeCFKtgJOvwa2aVGUQzR9gMBUjGPWx7UAPyAoXfhrGdRx27zvGsT/5AdeOX6P31V7yfZ6HSSAUIBAO0P5YO7vfu5vW+1u544N3cPjo4XGZ54w+2/H93sUqsssb+ODzpu1YbQN0/NIlzLBLtj+MGSrS8b6fYW2+7PmHa+Zku4aZmMbqoftH5whEAvhNv1f7N/0EAsN0v1FzYxjIjTu+kaav9iPtOGkHO21P60Wu2vBXJ6q0slpZzk3H+bDYDddRpjofzQf7fudms0rhKsH4IYJZH05WA12CrFIpusiqxpljmwlGq1TdEprPZeh6GCFAItE0iYtASkGlIqkM6/hrDKQrqVaqOANpBqih+XYfuh/cssGZLo18qh9zcytlu8yVH1+hprGGXE+OzMUMSEZ04/p4TffIaxLTMtjnY5gte8D0ykPjauhbjsDAccidB6SnXKkMY93eiLUrB/k3oVrwXgspvFJLsHZ+ZbTpSnDlIcSo5eQIoloC/OMfP+Yuby468IU0CimWHxXIVyu3Qmc+ynTBeik9z2c8nxEt30sfoXlviEAUBi5qZFMB3HIJkPiMKpEmHXQTu6xhBLLkMwZUNXz+Krq/jBkrU8hGqFbxJIrlKm7RJbIlQjjaS7kU5MoJaDkAV1+Dtrv8hGIO5aKL3/RTypfoe60Po9ZrRhqnGx8NZmNek/b3xOj67yUov4TRdg9OKTa+kSe+H+78FJz5bzDwEiC8stKuJ7zXYfgsFK5C5jVvun0g6o17A/DHSJ3sIfl058ybldPo/lv2DHPuRJ5qqYpbcdF9OpoIsPMeBxhzFzHhLm+2jdSFNAoplh8VyFczy60zh5mD9VJ3ec52PjWttD+YpevLUbbcCUZY49wP8hQdE6nV4EpwBqBkm1TLgnC8hM9XQmgQDEmEbmBaYXK9LmErTC6Vw2/5cQsuA5kgPn+VQFgjNVIFMGqKJHYYdJ/xfElKw177fsgIse2hbYSbwpN142NeE+s26PhwgOR3XDJnk8TuPDy5kSe+H+75zNTne/rTED8ASChlvP/G9gCQeiNH11ebMbbbM5tWTaP733Z/nDd/4lJ1qyDAdV2kMNh2sBdK9oLv8hbaKKRYXlQg3+jMFKyXs8tzKrYcwcp9mo4PQPL7gsyFDG4pSNueFNcutZDpCeALgC9YpVTQQAsTTmiYtVAugt9XQS9lSLRvpelAE+efO49bdakUK+h+g0o5T/G6xG/C7p8r4mSLENmD8DtkLmVwhhyMuOFNkG/yatqTdOMTXhNrN1i7gmBfhnsPjzudGeV/Y+9QAnHPpKx2n6etL6VJfg+MTTtmN62apgTXd/0+2h7UyV3LeQZgMYPwpjB9w9sgcHrBd3njyi/HVaPQakEF8o3OTMFaC45v4Int8YYSLNeG60hws/T/hhX6HgTq6fzq27D7K4hKDmStN67TlegBgRbQcCsQrrfpO+NSES4lW8fvDnL2W1nKhTKBSIDY1hh2v03FBc3nEKotcuifGTz/ua0Mvjbs/U5rjGqlis8Y/5GYZF41x87XOdnAjr1DmVDeyjhtRHeMf1+mtISdpmSV+dwF6ndGx5l9yaok052F/UcX8Obc5Eb55WTn8nUBK+aFCuQbnekCkxaE/BWvgccfgUoBejshstPrPlwu4vs9lcemf+zVof8xdP1lhHLJJZrIkh+upVL2E99cpvm2Irk+iaH1UCk1UsgaVKsaMbOfbQ/s5vwLQ940eFcipaQqNYQvRKC5DevxDxP93t+S7zuPm72GUeOw9aDB9Us6Pa/0sPM9O6c2r5oiA069kSf5+n1k/vSZG5n3rDawU+1L7D96I4vveSPJ9XPnaD7YTNjy7g7GXlQmZ/sfw7r3ZqYeax2cu6XsQje0V8uGvAIhpbzlBz106JA8fvz4LT+uYgrG1sjHfhj1Gs+xzy1CNjkS3AMQPzh9zXepeOkjI7MyPXVs6mQ/z/2xTn5QI9QUI7F/G+EGA/vCS7j5IcpFH0a4TO+5EHapFqTGloM6/de3kr6QptBfwF/jxx/yowd0/Kaf9//V+3n5j/6OaOAEwm+SSwfpf8sle11SKkbYfF8bzXc2T73BOCbwpbpb6fpaK0ZT8zjvEyfrYO23EGN8zGVVku3O8th/3ua95tKFfLc3mFnzk9I/QdeXwxhxb7P10oveoIi2B9rwGT6vXf4THQA3sv2xx+z4RAfWlutw5WlSJ3u8GvumHRhNLd7v9PbQ8fhlrJYxARtuvv8VB4ZOQMkb+MyuJ2YP6EulalLMCSHET6WUhyb9uwrkiik/jG/+6bhgCnhab7sb7v3L5V3PyaM37xLsFPR3kboQo+ubt2Mk4hhmASdwCCdTxp99Ad1XxYzpJF/eTDDip1ICWS5BeCu9p3oRQtBwewOaT8N1XBJ7E17JobcTO13ErXpqFl8QrwtT85E4eGB8GWSagNV5tHNS5munbXpf7R03cWj03824yeEjnZ5iZeiU1yykG1DK0PnUbdiR92I2bwEg15uj55Ue3KJL+y+237ioTHdM08hy+LFvkbqUIPlChJ7TZYpZl2DzNprviNO+97tYt4emv2D3d3lrkdLzNY/ephQoq4zpArkqrSimVpMspwvibIy9Zc+eBgTWtgwdH/aT/FGQTDfEWs5z8Lc/xsu/e5lQwiGXMXBykO0DTa9SdgIk9gp8hg/pSoYuDBHfHqelo4VQY4jM5Qz3PNRD15dr6b+QRceFso7rmrTsG0Y3cxz//c8QjmXI9AaI1aVpfySMdft4Zc90be3B2iBO+qbR1rgyTeFLXiauGyOzPAF/jMx1g2jkPOAF8nBTmJ3v2Um2O8vho4dvPP+0rfQnXyZ1KcHzn4mSH4RKKYDPXyGQT9F+dwpra2jypvb1F2Dzo5B+ccx65Mh4uLhSoKwRVGenYmrmMWB5yRndwAvEwb7mZZAN92HdUc/hJ+CxP/Bz+F9cxtpvEbttDwOXy3SfcPHXeOWL/ICglBekTqQo58tIKfGbXiNM2ArfqBVbuzU6HnkBtwhV148/UKFlxyXCtQ6V1M94q8vFLkSJRq5iD+bo+is/qbPjOyKna2tvvrN5yqHT1n7LuxgW+7zAOUrVIbYJnKHhSc81sa49bSt9IsPxpyMMjohGjDAgfAxeLHP8y8NTWz4gvAt0OQOaAeUcDJ8Du8cb+Zc+scA3cQqmsBJQLA0qI1dMza1sSJru+KPHmuHOoP2DD/KNb10DLYNPlKiUAnjz26BaqoIP3KJLfiBPob9ApVihtq2Wg586CLbE2pah/b5e7LyJGXK8EkMpTer8dsy4jhkDsi5u1aD/rTLf/Hcm7T8P7Q/FsLZcnnG82djmmtHNyZf/9GViDXto31KPtS3jBdOqA65D+0OCrq9HIG3POCpt2mM+GuObT1YIhHz4vXGi+AMVZMRP9xt+zyZ45HVMnYHkd4pket5NrNGh/W31WK094PR6D6xp87TtpSG49LXxo+IWUgcfsxeTutJC8rs2matfJLbv7bR/8EFlurVIVEaumJ4RoyTu/Uvvvytxiz3LnYG136J2p4VhtTE8VIfwBfDV+ND8GsIn8Pl9SCnBBTRwBh3PiRBAlqDhAdrfMYSTldh5A2m2YWer2Bkda8RiJDcUpvuNOFRdpAQ7C13/vUKqu/WGrnrKzHuEUSniqDGX7UTpev6XSF2IQGkkM4/txdpdpeOTD834XKPnPOUx33kEqi5CVkbOrwLVCmJ0I3vktUu9WaXrCyXsoRLR9oPYvkN0/e3bSCWLgO7Na9V8gPT8cE79/rRGW3NmRC+fuhin60sadt4k2uzH7j6tTLeWAJWRK1Y3c7gzaL6zGTttU8wWyfXkkEJS6CugaZrX2ShB82skbk8gq5L49rgnAzzi7QNYHXfTUQ/J70Omu0gsbrD97SX0gJfW9vc0oPuHQdMxw3iZe7lI8tgBrMdnb2ufWop4G8krv471wOlxma4V3491/8gD0yfhymfgpcmZ8NTHtGi5/2dc7LwAlPAFoFLSKeavs/Vuv1cLz5wi+fcZjNoYZssBMJswQ4CRIHkqg7X/NFSy4DOh7i7IvAHV8uzdvbOpV0b6FZLfByMKZhSQQUwzAyFjcqOTYl6oQK5Y/czS2j9aatADOoIKsuSg6xIhJG5ZgAbCJ8hczhAIBag4Fa+xZsymqrUrhrV1RMmx+VFSLzxH11cbQfpxslXckk4ubQJF+i8EiGxpIlqqTlrLVN2cM/p8T9ecs0Cfm0P/+3vI9j1PvqePYjaFHtSoa9U5dCQLV5/1NmirF4juiMIYaaQRM8hcsqAuOL6Mdf0Fr9t0LBO7N+ey1pHN80xPnOio/Xy1CP7Y1I1OinmhSiuKNc9oqaF5bwBRzSHdKpEGgS8oEVoVAWgBDaEJApEAl168hB7UJ2yqdnv/3fMJaHsc630fp+PDAcxAL2WnRHYwQpUgPsOP0CTpiwX63+j3SgIjm3ip//Gv6PqtP8FOfpsondhnO+n61LfRA/r0Pt9TkDqZovO3n+aZ/7CZzs/HJ22wzvZaHPjQAfwiTdnx4Td8HHhMYO2NzrpB6w1wnlDGEn4ITej8naheGmvzMIU9LnCjRBZrtHGGJbiO59Ue3TPja6GYGyojV9w6lrF5xNpv8d7fvEDqXQWOPx2l+zXQfQIhqpRLkoARIGSF0HwaxWzRs5SF6bP9+H6sx/dj7T5Kbtjhje/rCB00n4asVNEoowU0kk+9gPXYtyAQ5/jXo/SfK+BWNIzaGhLbihj6a7ilO3GGXOi/jBHM4BRjOG4rB3/tFyYd9kZrf3GYaHOY/kvwjd+G2s3QfFst7ff3YM3wkqVOpjjz7BmadgzTdlcYJw9nOqG+zbvroDDDBu1UA5z3/Y6XyZfS03dvzsWTZ+Si2f7up+n6fB5ECGPTnThOdMoNXcX8UIFccWtYSkvcaY9xAiuR5r0fznqBJNrOM59qQhPDDAxtxck4+E0/1p0Wbsmd23MWLuNWtmDGoFJ0cYsuPl+FaH0RSZTMm6dvbOK99bKNGdEJhqqUC0W6X4uyeS9U+96g45cHSP6onkxvlFiTzcH7f4y15RAwXtWSfCaJHtBpbo2QHyjSfy4IwpuQZA+V6PpqMx37U9PWk2/U40sRcB3MqCdxTH4fr3RU0zre+GouA5yju2dWL82152Dk4tixe2z5yZzsGKmYNyqQK24NS22JO5H0SchdAITn5X3WR/JHaXreqEU3IjTfnyDc5Fnb9vysB7fk0nm0c/Z5kzWtxJpsjLAORs6T9UkolzWo9hGrTYO/keT3wYzYIHwIAX5/GYDUuQC79r+JdXsT1p2jnZgmlEI3zn2swZaU3gCK7jdiaO519EAFX9BHcdjFDBUgdvvUG4MjdzuZ4zmim8NgNsLwmwAYoaBXjx+TSc91gDMwu/3wbJ4rE+7ErC1HsMY0OCkWj6qRK24NSzmDdKrGkitPezawSFLn/HR9Yyd2LsDm7T0UixEudl6k91QvF1+4SDFbZPPbN89t3uSWI7TfP0AonKZY8JPP+Bi4ZjLQHcHJVGiofxV6/p7MFRtrp0OlJChkdYZ6QwxegcFLkoa2zIznPlbVYtaangZeC9J/JcRQj4/Byy6aT4fEfRhNLZM3BseMe4u1hHAyRS+IR24D3cDJ5Ii1BJev3X66vYaxw0kWK19UzIjKyBW3hqVq+Z+uRFPOQu1+8EdJftXGqClgRnXQDbZuu42en/Vw5UdXiLXFaL6r+YbfOEzh8T2W+H6s932ch4b/NS9+eRdvnWxC0wRxK0tii82Zn+2mvu1NYpHz2CWL+uY0l19vpEoAn7+KGSlz5sR+6u/IeRuOU5z7WFVLYk+CC9+/QGGggJQCfCFcV1KsmOSyIfTAFBuDY+522h+Gri96sknDdx3HuAcn6HDwiQ6IL2P5YrqsfbnvxBSACuSKW8VSWZ5OFxjyl73nNJrIZCFqAdIB3bjhWXLqK6fY+Z6d4xwJ5yR9i+/HesfP0/iqTWSrH1O76DXbAHbeIPna/bS/4wRdXwuR6a8l2pBHaDZuNULL/e3oAY3k945j7Zp6w3Ds+LRwU5hgNEi+P4+UklK2hD/iR/gFPa/0kLgtMXljcMxmo7UbOv4FJL8XINOdI3ZoDjXo5XQwnGoj1HWg+xnlmLiEqECumMxyfLCXquV/OoVEoNYLjkDMqsUeKmGGbM92F09eF9kcwck4c/PonsiWI2SufpFoswMFBzQdqi5GvJZMXxjrrh3svniG86+24VY0gjVVNu0pEG40kMFGMucrELg05bm3H2nn+Sefp/t6N5VihaGLQ1CFup116AGdfCpP7loO2SCn7PRMdbeS/I5N5rpJrBna3wmH/+WQd5Hbf3jm81ruTeiJd2JOL1x/EfzR5dv03oCoQK4Yz3J+sJdiBul0JZr4nd4F58rTtN/veXETux0j2IiTtnHSDnf/+t2cefYMMIUj4RzWHtv3duzu05hCAAJqWnDsMLFmSL1ynjOv7CS2SfOkjUJj4IpJTeI0enOU2K5tsP/D0z//iBxSIJCuBAG+oI9AOEAwEsQesjFrzclB/GTK80OvvkY0IbAzQbq+UKbjn+Sx3jeHu53lLn1MvBMbfMX7Pn7wpuZ8KY+3QVGBXDGe1V7TnKlEM3KhsPZDx/7UlPK6+t3108juZqfh7n388Lk0rhOhxuzDH9LI9UliVpmLP9xFZHOU5nboftWz+NaDOj2vl0gYM18skk8nie+Is+nQJgBO/fUp8n15hnuGqdtZR8WpIKuSYG1wyscaTc2YRgiypzFrMiBiJF9/F9b/Mof3a7nnsk68E6sWoeEBbwrUchxvg6ICuWI8t3rg8nyZY4lmOnndbLK76QYmp06mOPO1l0lsTpG75pDp82Gf12jZ52DtMXnjO/UUzgta74KWA9B/AZysCwg6Hn0Vq/A3cHLqMtXEFv6wFUb4BHa/5x9jxAzqdtZRv6t+0npvPFYzwfR6343R2Zxz4Vb4zo+9Ezt59EYJbNmOtwFR8kPFeGpavQ/WWFbbB22ZXBknuRSOkScmn3oBo/oaiRaHrfcGMaKg+yWp83EuvbkVX7QeIVz6z1cI10u23uXQdscA7R19WFtnlt5NbJlPtCeQriTWFuO2991G04EmNF2j/Uj7pDVP224/15b3W+07v5I+9+sYFcgV41lvH7R5DDMYq+cWmsCMmxhxz5kv8+ZpjGgQdIPcgCB9zYemC6TrULbLlGwfZTdOPu1DlrLYGRdnqET7odcg/So416f1S2k/0o6TdrDTNrIq0YM6dTvqaL6reUY726kea4/sB7Q/rM3tvGfSgC8Ht/p4GwQ1s1MxmfUyUHe6wdLTBI5nPvIM0ZbolAOTY1ondiGKGRNcPAaDl8F1wR9wqb1tB2W7TLlQpqa+hvhmScw4QfuBn2C1+726sOtAogOMxinnnk5X0pkLkx77sIalfW7O561YO6z9mZ3rJbisBZZCXXKrmervY54bt2P13KOMlina98Xo+kIJRABnGIJRGL4uCdXpSCmRUlKxKzzyZ49g8RkoAemg5/A3Opczm/R2QacoU82rZX62x548CqVVvGE9V9Rnfs6sjdKKavNVzMS0fx8n5mULMF2ZomFfA8lje3CyZXqTZcpFScCosP1QgZrGBMVsESEE29+13Quoo3YEsT037Vq1IBSv35oy1QLsEFInU3Qe7eSZjzxD59HOlZ/Yoz7z82JtBPK5+B0r1jaLGcw73d9HaWheG7dTjVDb/ehuzjx7BtuJYt37Npra/dRvdgjV+4js2k/bO/fS9kAbidsSHHpi5I53dMPYaIKG+7yMvNgPwcZbU96Y54b1TJu8K4b6zM+LtVFaWe2SOMXimGsT0nS32nPo9pyrLcDEMkXn0c4xY9pMzF0WJGzcootphclczqAHdfw1fm+wcmuM9ocf8mrU4E3XiQeWr0Y91WsyTzuEqUfRzeJBs9yoz/y8WBsZ+VqQxCkWzlyyr5lutaf7+4jfuWiFROZyBiNmjPu3ylAv3Z3HyRz/W/Tcz8i+1Y0e1Im2RBk4O8A3/7c3+Mof3OdN93mtd/mUGdO9JjCv857qHFd8/Jr6zM+LtZGRL5XhkmJ1Mpfsa6aNyzl0ey6UiRuguUuXuPTCGYJhjeimEG98v0J+4CqDb+UJxCI4WQd/jZ9i3sQO3EPXdxw69ndgLYfz4EyvyTz09TNt8q4Y6jM/LxaVkQsh/lgIkRRCnBRCfEMIUbtE6xqP0p6ub+aSfc20gbeMfx8TN0B7jl8AdJpv95FPC4b7fQhNUM4Nk+vJ4Qw6CF3gZJ2bOvSnXlh4/X8mlsjjfVot+hQNSLcM9ZmfF4vNyL8L/FspZUUI8UfAvwU+ufhlTcFalMQp5sZcsq/5tpJnzyyJdG3iWDS3WKLtkJ9wPVw8BoEgSDRvdJy/ih703ApH2+mNQIbMqWNQqkxb/1+whnyJ2utnHv02T5ZSMqg+83NmyRqChBDvBx6XUn5wtt9VDUGKScwWAGZq7gHv/1UrYF+FQjeUBqHuXkjcvaQNMZ1PHMVOFzHjQZI/8Er6masuur+C5vNRLunIaoC9/3Q/YSuMfbYT1ykSbgyS6cGzmX0g6w2Z2H903Ji3sY6M03VyTnrN5tHwtOystvWsQ25FQ9BHgK/OsICPAh8FaG1VGxaKCUyVfU0M7psfhcypyWZZJ496QTzzOuiG973wwdDPINx202lvCRpi2j/4EF1/+AwARiiAnSlhhooEowGKjk7JlkTqhwlFcthpnfSFDLhl9MpVomENO91I15cjdPyTHqz9i1SMLJXH+1Kx2p0z1zGzBnIhxPcYHfU9niellM+M/M6TQAV4arrnkVJ+FvgseBn5glar2DhMJUm8+uzU2V3hspeJ64an2a4WQa8Bt+B1U5rWkknXrPsfoONJSD71PMGaAk66yqa9ULfdwMlBulsQTUiyZ5PEbtuDGxtA90tv7JysYGqXwbBI/kMz1j+f7HwIMytGpi7DHF30eY1joeURJRlcMWYN5FLKh2f6/0KIDwHvBd4pV8K4RbE+mU92V9MK/S9BoMH7WTe8jkq95uYm6hJK16z7H8C6/wEAUv/jX5H8kUUm5ZVNDv5rsHYFwL4MNfDMa/WEanrALYFbhGoRgxyZ/ncB81OMjC3DjG3cmVMZZq4sZrDIXGr2qu1+WVisauUR4N8Aj0opC0uzJMUtZzFdlcvFfBQZW46A8I8EbQn+yEhWbngjxZbRwdHa38zhfznEY/8eDj/hzcy8EbwKl4m1RnEqDVDJgyyDFsQphIhF34L0yakVI709tO/rnPR+zOTOuGQspqNyNudM1Xa/bCy2IejPgQjwXSHECSHEZ5ZgTYpbyWr9cM2nISS+H/b9DiDB6QN/HSTu8wL5aCCa64bbfC9qMwWvmlbaHxzGyZSxSwmkvwG7WEt6oIHckMkzH36a5NNJdj+6+6YtgJGl4xd+jLU1TepKC51/bvPMP/8inZ/8Kj0nepa/cWcxksbZJIOq7X7ZWNRmp5Ry51ItRLFCrNYNqvk2hLQ9DtHd42/b7/wP8zuHhZQVZtlwtHKfpuPRsyR/sptMrx/dVwJfGD0YJGRksNM2Z549c7M8cvIolEKkLsbp+hIYUZNos4PdfZqhC00EQoFxk4KWvHFnsZLGmSSDqoa+bKyNzk7F8rHSH67paqYLUWQsVne80IvadMcdOQcr/3GsrcfAaKTzfx5CjxuYIQf02GSVysj7kfy+53fe+yY4w0GMkEN4U5i+U33UJGrmPzx6rixnR+WtGCu3QVkbXiuK5WMlPS1mK+ss00i3aVmiTslxxPfDoT+D+kMQP0DmegjDHLG2je4BJpRHRt6PniT0nYNyEYIhl3LZIHc1R7AuOM6dcUk3OkfXu1wdlett+tQqQmXkG52V9LRYqbLOdHcBy5Uxjrm7iDVksO0YZsvBG8OSx5VHRt6PYjYMwo8/UIFqBaknyPXkyF7NIqQgWBucVtmy0ElD49a7HK//atO9ryPUqDfFyknCXvqIl4mLMTeGsjrlKLQlYy4dogvsTJxLEJ1TJ2f6JF858jTpy2X8NX6qWi2ZqyUq5QoCQe22WmRV0nSHN5R59LGL6hJVrAmm6+xUpRXFrS9hjLISZZ2ZlBOLKCvMdTjDVMMrJgXa+H6aHzxM07134a/fynBvxfM8D/oJhAOYtSZ+08/w1eFx8sNbIk9UrEpUaUWxcqxEWWe2zd0FlhXm02o/l/mc7Ufa6fp0F00HmrCHbHwBHwPnBohsiQDgM3w4GWdcfX2+XaKK9YPKyBUrx0pYlS7TXcBSD2cYm7kLIUBAfHsc3acDUHEqN8ono7XyWGsMJ+OMe54V9xVX3BJURq5YWW61Veky3QUsZjjDdLX10a/R7NytuPSd6qNSrCCrkrqddePkh6O/ByyfPFGxKlEZuWJjsUx3AQsdzjCX2vpodp7YnaB2ey1mrUl8e5z6XfXj6utzqr8r1iVKtaJQLBFTZdbAjEqWzqOdkzL50Z8PHz286OOrIL6+uBV+5ArFhmbiJuZc3AqXaoPyljgjKlYtqrSiUCwTc5EDTrVBOXBugPRbaZ75yDN0Hu2cJGFc6LEU6xcVyBWKZWIuSpaJtfX+M/1cfekqkc2RyTXzGZwZl1o1o1hbqECuUCwTc5EDTtygzF3L0dLRQv2u+vGZ9VMvzOhLo6SHGxtVI1colpoRy4P2nT10fbUZEvUYgQGcoWGcQoSDn3xo3K+Pra0/85Fnpq6Zn3x5Rl8aJT3c2KiMXKFYSsY4Olp3NNHx+CVM+3myVzKY8TAdH8hiaZ+bdmDFtJl1IjOjM6OSHm5sVEauUCwlExwdrU0XsH51CAJpaDoMRKHkTuvwOG1m/WgMyjM7M86l9V+xPlEZuUKxlEz0NC9nvLmhY20BZvA4nzazfqfy8lZMj8rIFYqlZKKnuT8GpSEI1N78nVm8XabOrC3l5a2YFhXIFeubW+21PtHLpWazd+zY7V4mvRhvl1vtS6NYM6jSimL9MtsoueVgopdLZBfc+Z+8wdC3yuFRseFQGbli/bJSo+SmzJwfX77jKTY8KiNXrF+WY5iyQrEKUYFcsX5ZiVFyCsUKoEorivXLSoySm46VGnCt2BCoQK5Yv4xuPK60ZG900zUQH7/pusybnsqffOOgArlifbMaJHsrsOmq/Mk3FqpGrlAsNyuw6ar8yTcWKpArFMvNCmy6Kn/yjYUK5ArFcrPl1vukKH/yjYUK5ArFcjOx2/MWdHdOnDxkp22ctHNjILRifaE2OxWKW8Et3nQddVEcq1o5+GsH1UbnOkUFcoVinaL8yTcOqrSiUCgUaxwVyBUKhWKNowK5QqFQrHFUIFcoFIo1jgrkCoVCscZRgVyhUCjWOEp+qFAo1g0b1fFRZeQKhWJdMOr4aKftcY6PqZOplV7asqMycoViqVFDJFaEsY6PwI3/Jp9OrvusXGXkCsVSMjpEopQeP0QifXKlV7bu2ciOjyqQKxRLydghEkK7+f2Vp1d6Zeuejez4qAK5QrGUrMAQCYXHRnZ8VDVyxa1ho9SNa1q9csroODdY9iESCo+N7PioArli+Vmh4cMrwpYj3rmBl4mXM9757vi1lV3XBmGjOj4uKpALIX4feAyoAteBD0kpry3FwhTriBUYPrxijA6RGHv3sePX1uR5blRN9lpksRn5H0spfwdACPFx4HeBjy16VYr1ReGyl4mPZT3XjW/xEInlYFSTbcSNcZrsjk90qGC+CllUIJdSZsf8GALk4pajWJeouvGaY1VrsjfKfss8WLRqRQjxh0KIK8AH8TLy6X7vo0KI40KI4319fYs9rGItsQLDhxWLY9VqspVOf0pmDeRCiO8JIU5N8fUYgJTySSnlFuAp4Nenex4p5WellIeklIcaGhqW7gwUq58VGD6sWByrVpOtdPpTMmtpRUr58Byf6yng28DvLWpFivXJOqgbbyTaj7TT9ekuwMvEnYyDk3Y4+GsHV3ZhG22/ZY4sqrQihNg15sfHgOTilqNQKFYDo5psM26S7c5ixs3VsdFZ0+rtr4xF7bcsWrXyH4UQt+HJDy+hFCsKxbphVWqylU5/SharWvmlpVqIQqFQzMo60ukvJaqzU6FQrC3UfssklGmWQqFQrHFUIFcoFIo1jgrkCoVCscZRgVyhUCjWOCqQKxQKxRpHBXKFQqFY46hArlAoFGscFcgVCoVijaMaghQKxbKiJg0tPyojVygUy8bopCE7bY+bNJQ6mVrppa0rVCBXKBTLxthJQ0ITmHETI26QfFoZpS4lKpArFIplY9VOGlpnqECuUCiWjVU7aWidoQK5QqFYNtqPtOOkHey0jaxK7LSNk3ZoP9K+0ktbV6hArlAolo1VO2lonaHkhwqFYllZlZOG1hkqI1coFIo1jgrkCoVCscZRgVyhUCjWOCqQKxQKxRpHBXKFQqFY46hArlAoFGscFcgVCoVijaMCuUKhUKxxVCBXKBSKNY4K5AqFQrHGEVLKW39QIfqAS7focAmg/xYda7lZL+eizmP1sV7OZb2cB0x9Lm1SyoaJv7gigfxWIoQ4LqU8tNLrWArWy7mo81h9rJdzWS/nAfM7F1VaUSgUijWOCuQKhUKxxtkIgfyzK72AJWS9nIs6j9XHejmX9XIeMI9zWfc1coVCoVjvbISMXKFQKNY1GyKQCyF+XwhxUghxQgjxHSHEppVe00IQQvyxECI5ci7fEELUrvSaFooQ4peFEK8LIapCiDWnMhBCPCKEeFMIcU4I8VsrvZ6FIoT4SyHEdSHEqZVey2IQQmwRQvxACPHGyN/Vb6z0mhaCEMIQQvxECPHqyHn8n3N63EYorQgholLK7Mj3Hwdul1J+bIWXNW+EEO8GnpdSVoQQfwQgpfzkCi9rQQgh9gBV4P8BPiGlPL7CS5ozQggdOAO8C+gGjgH/TEr5xooubAEIIR4AcsCXpJT7Vno9C0UI0Qw0SylfEUJEgJ8Cv7jW3hMhhABCUsqcEMIP/Aj4DSnlSzM9bkNk5KNBfIQQsCavXlLK70gpKyM/vgS0rOR6FoOU8rSU8s2VXscCeTtwTkr5lpSyBPw18NgKr2lBSClfBAZXeh2LRUrZI6V8ZeT7YeA0sHllVzV/pEdu5Ef/yNes8WpDBHIAIcQfCiGuAB8Efnel17MEfAT4u5VexAZlM3BlzM/drMGgsV4RQmwFDgIvr/BSFoQQQhdCnACuA9+VUs56HusmkAshvieEODXF12MAUsonpZRbgKeAX1/Z1U7PbOcx8jtPAhW8c1m1zOVcFIqlRAgRBr4O/OaEO/E1g5TSlVLeiXfH/XYhxKwlL9+yr+oWIaV8eI6/+hTwbeD3lnE5C2a28xBCfAh4L/BOuco3OObxnqw1rgJbxvzcMvJvihVkpKb8deApKeXTK72exSKlHBJC/AB4BJhxM3rdZOQzIYTYNebHx4DkSq1lMQghHgH+DfColLKw0uvZwBwDdgkhtgkhAsA/BZ5d4TVtaEY2CT8PnJZS/l8rvZ6FIoRoGFWjCSFMvA31WePVRlGtfB24DU8lcQn4mJRyzWVQQohzQBAYGPmnl9ai+gZACPF+4L8CDcAQcEJK+Z4VXdQ8EEL8AvCngA78pZTyD1d2RQtDCPEV4DCe014v8HtSys+v6KIWgBDifuCHwGt4n3OA35ZSfnvlVjV/hBD7gS/i/V1pwP+UUv77WR+3EQK5QqFQrGc2RGlFoVAo1jMqkCsUCsUaRwVyhUKhWOOoQK5QKBRrHBXIFQqFYo2jArlCoVCscVQgVygUijWOCuQKhUKxxvn/ATOHVReCd/EhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"for name, group in df.groupby('hired'):\n",
" if name == 0:\n",
" ax.plot(group['programming_skill_res'], group['social_skill_res'], marker='o', linestyle='', label=name, color='orange', alpha=0.5)\n",
" else:\n",
" ax.plot(group['programming_skill_res'], group['social_skill_res'], marker='o', linestyle='', label=name, color='purple', alpha=0.5)\n",
"ax.legend(title=\"hired\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# Now we can see clearly a negative correlation, which is false"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.045295850033542764"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 1. Not controlling `hired` variable\n",
"df['programming_skill'].corr(df['social_skill'])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.4984727390806141"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 2. Controlling `hired` variable\n",
"df['programming_skill_res'].corr(df['social_skill_res'])"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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