{ "cells": [ { "cell_type": "markdown", "id": "ff15316b-91c4-410d-9a74-a4b4dfaac561", "metadata": {}, "source": [ "# Case study: heat map" ] }, { "cell_type": "code", "execution_count": 1, "id": "e6310c06-115d-469d-9ea4-806097195884", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "53b89977-6ad6-446a-a0ff-402bae2e7011", "metadata": {}, "outputs": [], "source": [ "DATA_URL = 'https://raw.githubusercontent.com/health-data-science-OR/' \\\n", " + 'hpdm139-datasets/main/wisconsin.zip'" ] }, { "cell_type": "code", "execution_count": 3, "id": "6f616dbd-5f35-4574-b9aa-d8d7d033ace6", "metadata": {}, "outputs": [], "source": [ "def load_wisconsin(path):\n", " '''\n", " Load and clean the wisconsin breast cancer \n", " dataset.\n", " '''\n", " recoded_label = {'diagnosis': {'M':'1',\n", " 'B':'0'}}\n", " \n", " to_drop = ['Unnamed: 0', 'id']\n", " df = (pd.read_csv(path)\n", " .drop(to_drop, axis=1) \n", " .replace(recoded_label)\n", " .astype({'diagnosis': np.byte})\n", " )\n", " return df[df.columns[1:]], df['diagnosis']" ] }, { "cell_type": "code", "execution_count": 4, "id": "84951e8c-5dde-46f9-937d-424ff39c95e6", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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radius_meantexture_meanperimeter_meanarea_meansmoothness_meancompactness_meanconcavity_meanconcave points_meansymmetry_meanfractal_dimension_mean...radius_worsttexture_worstperimeter_worstarea_worstsmoothness_worstcompactness_worstconcavity_worstconcave points_worstsymmetry_worstfractal_dimension_worst
017.9910.38122.81001.00.118400.277600.30010.147100.24190.07871...25.3817.33184.62019.00.16220.66560.71190.26540.46010.11890
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2 rows × 30 columns

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" ], "text/plain": [ " radius_mean texture_mean perimeter_mean area_mean smoothness_mean \\\n", "0 17.99 10.38 122.8 1001.0 0.11840 \n", "1 20.57 17.77 132.9 1326.0 0.08474 \n", "\n", " compactness_mean concavity_mean concave points_mean symmetry_mean \\\n", "0 0.27760 0.3001 0.14710 0.2419 \n", "1 0.07864 0.0869 0.07017 0.1812 \n", "\n", " fractal_dimension_mean ... radius_worst texture_worst perimeter_worst \\\n", "0 0.07871 ... 25.38 17.33 184.6 \n", "1 0.05667 ... 24.99 23.41 158.8 \n", "\n", " area_worst smoothness_worst compactness_worst concavity_worst \\\n", "0 2019.0 0.1622 0.6656 0.7119 \n", "1 1956.0 0.1238 0.1866 0.2416 \n", "\n", " concave points_worst symmetry_worst fractal_dimension_worst \n", "0 0.2654 0.4601 0.11890 \n", "1 0.1860 0.2750 0.08902 \n", "\n", "[2 rows x 30 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X, y = load_wisconsin(DATA_URL)\n", "X.head().head(2)" ] }, { "cell_type": "markdown", "id": "8607a052-72e6-4246-beba-45206df39143", "metadata": {}, "source": [ "## Visualising Correlations with a heatmap" ] }, { "cell_type": "code", "execution_count": 5, "id": "61114823-4e98-4f62-bf54-c79ecc3cc511", "metadata": {}, "outputs": [], "source": [ "def correlation_heat_map(correlation_matrix, cmap='inferno_r', figsize=(8,8)):\n", " '''\n", " Correlation heat map\n", " \n", " Params:\n", " -------\n", " correlation_matrix: pd.DataFrame,\n", " n x n matrix with feature names\n", " \n", " cmap: str, optional (default='inferno_r')\n", " The colour mapping for the heatmap\n", " \n", " figsize: tuple (int, int)\n", " Size of figure.\n", " \n", " Returns:\n", " -------\n", " tuple (figure, image)\n", " '''\n", " fig = plt.figure(figsize=figsize)\n", " ax = fig.add_subplot()\n", " im = ax.imshow(correlation_matrix, cmap=cmap)\n", "\n", " # Make sure there are enough visible tick marks\n", " ax.set_xticks(ticks=np.arange(len(correlation_matrix.columns)))\n", " ax.set_yticks(ticks=np.arange(len(correlation_matrix.columns)))\n", "\n", " # add the feature names and rotate x axis 90 degrees.\n", " ax.set_xticklabels(list(correlation_matrix.columns), rotation=90)\n", " ax.set_yticklabels(list(correlation_matrix.index))\n", "\n", " # add colour coding legend\n", " cbar = fig.colorbar(im, ax=ax)\n", " cbar.ax.set_ylabel('Correlation', rotation=-90, va=\"bottom\");\n", " \n", " return fig, im" ] }, { "cell_type": "code", "execution_count": 6, "id": "d2ce8764-c3f6-4af6-9ea9-e33070b2cc89", "metadata": {}, "outputs": [ { "data": { "image/png": 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DQwgr/wG6Ae+WaGe/CnFLCRnHq8n2paeZzQHmSFogqS+VCwefIumIuH29uP19YBFwb9w+gfAkg3POOUddyTtnLcfMlkg6iVBCrB64xsxmFO6sxOU0vwJGxKobAs40s7Tst82oVgZOxfdD5xAGPeVSyVYqQZItpltcaLcT4Zt2nZn9pEqfKsUtyLmuKU9fmhQOlrQ3sD+wi5nNkzSKxuLDi60xXbwX+XXOOQeExeF58i41NzO7H7i/aNsVmfdvESYJ2oRauVW3vqTCIOmbwFhgYGGbpM6StmqmYz0MHKlYoFdSf0kbxM8WS+qcI665lCsc3Af4MA6aNifc3nPOOefcSqqV2YZnCUVtrwRmEtY3jQQukdSHcJ5/AGas7IHM7BlJPwMelFQHLCasg3oNGE4ouDsxrnMqF9cszOzBuJbqyXg7cC7wLeAB4ARJU4HnCQPJlSBS6sPV16U+JZpWey5MlOW3WteF1YMy+nVJSw/SvT5//7su7ZHUdudu7yTF13fumxQ/Z+nb1YOyFi5ICp+3NO179aHSHpLpNKfUXfLyunZN64/q0mp59uicmI9vadrPmrqkNd/477h8OtXlvz6pbS9dlvaz07lbWvyA1dLiP1yYdjH7Ka22XddeabXVO/WdlztW9S33JP6qvlXXHtXKwGmZmZ1QtG0ysGdxoJntXfT1OaU+M7NRwKgyn91MiXVSZnYmcGaOuJ5lziMbMzjzfgRhcXipz/4I/LFEEweVabdn5v2tQFrVVuecc64Dq5WBk3POOedWhpEnfUCH1+4HTmb2KuEJunZJ0h3AhkWbzzSzka3RH+eccx2T8Ft1ebT7gVNbk5oJ3MyOqB7lnHPOubbA5+QSlcrIXZwJvELG8MtjNu4Z2SzfZY7TqpnDnXPOdTRqkf9qjQ+c0pXKyP1ZJnBCkslyGcN/GjNxbwvsJWnbKsdqtczhzjnnnGvKb9WlK5WRO5sJvFLG8K/H2Z9OwNrAlsDUCsdqtczhsZ/Hl/rMOedcbfI1TtX5wClBhYzc2UzgJTOGS9oQOA3Y0cw+lDSCxmze5bRa5nAzG07IS4VSk9k455xrd3xxeD5+qy5Nnozc5TKG9yaUevk4risqmWcpkWcOd84551Yhn3FKUzUjd7nM4mY2VtIkQvbyl4EnivdNteoyhzvnnOsIanExd3PzgVMCM1tI6ZminkVx5TKGD0s41uDM+xF45nDnnHOu1alxuYtzpW03oLv986DNcsevsfczSe2//s8dkuJTa8+t+7dK6++bOrrfiUnxW/XJX99r3tK0u+Nmaf/6W5BWio2vbfJKUvw2uz+dFD/98R2T4nv1SKvvNevD/knxqXUUB/T+OCl+5qx1kuK32+jFpPj330873359P0qKX3fn6bljXx7Tsr+3h4xcNyn+xHUGVA/K6NV5cVL8rAWrJcVv3GtOUvwrc3rljv3jm7fyxsJ3m31qqFf9QBva9avN3Syj5l05IT5RXhN8xqmVeeZw55xzrv3wgVMr88zhzjnn2gIhf6ouBx84Oeeccw7wR+3z8GvknHPOOZdThx44SRos6ejM18Mk/ak1++Scc861Fq9VV12HHjgBg4GjqwU555xzzkEbHThJ6iHpPklTJE2XdJSkVyX9RtKTksZL2kHSSEkvSToh7idJF8Z9pkk6qtJ24HxgD0mTJf0obltH0gOSZkr6XaZPcyX9OvZpbMz+jaSBkm6TNC6+dovb94rtTpY0SVIvSWtLGh23TZe0R4VrMFfSBZImSPqXpJ0kjZL0sqRDY0x9PK9xkqZK+p+4vaekhyVNjOd7WNw+WNKzkq6SNEPSg5K6lTn+8fE6j39/wZKV+G4655xrDwTUSc3+qjVtcuAEHAi8ZWbbmdnWhEzYAG+Y2S7AGEJCyCMJ5UTOjZ9/BWgAtiPUartQ0toVtp8FjDGzBjO7OLbRABwFbAMcJWm9uL0HMNbMtiMU0T0ubv8jcLGZ7Qh8Fbg6bj+NkDG8AdgDmE+Y3RoZt20HTK5wDXoAo8xsCDAHOI9QkPeIzPl+D/g4HntH4LhYE28BcISZ7QDsA/yf9NlP7ybAn81sK+Cj2OcmzGy4mQ01s6EDuvozBM451xHUtcCr1rTVvxGnARdJugC418zGxL/378583tPM5gBzJC2Q1BfYHfh7LLg7S9JjhAFFue2flDj2w2b2MYCkZ4ANgDeARcC9MWYCYRADYSC2ZeO4hN6SehFKqvxe0o3A7Wb2pqRxwDWSOgN3mtnkCtdgEY0DxmnAQjNbLGka4RYjwBeAbSUdGb/uQxgYvQn8RtKehILAg4A1Y8wrmeNOyLTlnHPOuSra5MDJzF6QNAT4EvBbSQ/GjwqpZ5dl3he+7gRlV6GlzBVm211K4zVabI1p1rPb64BdzGx+UTvnS7ovnsNYSfub2eg4mDkY+KukC83s+jL9yB7vs/M1s2WSCscWcHJxskxJw4CBwJA42HoV6Frm/EreqnPOOdfxqAZvrTW3NjmLJmkdYJ6Z3QBcBOTN7T+acHutXtJAYE/g6Qrb5wD589yX9iBwUqbvDfH/G5vZNDO7ABgPbC5pA+BdM7sK+EvCeZUzEvh+nMFC0qaSehBmnt6Ng6Z9CLNmzjnnnFtJbXLGibC+6EJJy4DFwPfJV4z2DmAXYApgwBlm9o5CWZNS298HlkiaQlgz9eEK9PUU4M+SphKu52jgBODUOGhZCjwD/BP4BnC6pMXAXODbK3C8rKsJt9omxjVM7wGHAzcC90gaT1hH9dzKHOT9uT254cldcsd/+cM+Se3fMHXbpPh+XdIWqx/db/ek+L99eFlSfP+F2+WO7V23VlLbB/f4XFJ8j05ptSf//Z/1qgdlNHR7PCn+vleKqwlVtm6PBUnxX9ljTFL8127YKyl+x/5p1+fd+Wn/Wt9y3deT4h95fXBS/PxX0v5tfOSCrtWDouGTt0lqe51uab+3X+5bnxR/3lsTk+L7MDApPtV3La1u4dPv5/9ezW2h53VEG51NaWPa5MAp3noqrtU2OPP5CMJAp/D14Ezc6fGVbc/KbF8M7Fd0nGy7h2Te98y8v5U4kDOz2YTF5MXncHLxNuC6+Kqq6HjnlPrMzJYBZ8dXsXIjna0z7VyUpy/OOec6Br9VV50PLp1zzjnncmqTM06tLT6hd7SZpd2zWbFjPQWsVrT5WDOb1tLHds4557J8NqU6HziV1hc4EWjxgZOZ7dzSx3DOOedc82j1waWkb8es11Mk/VXSBjHr9dT4//Vj3AhJl0t6NGbP3kvSNTET9ohMe3Ml/V/Mmv1wfIoOScfFDNtTYqbv7nH7mpLuiNunSNqVkFF845jh+0JJe8es3bdKek7SjYWEkpKGSHpMIcP3yJhYE0mnSHomnsdNcVuTbOJlrsnesc1/SHpB0vmSjpH0tEIm8I1jXLms5TtJ+nc8xr8lbRa3D5N0u0pkRnfOOdexhczhzf+qNa06cJK0FfBTYN+YkfuHwJ+A681sW8LTYZdkdukH7Av8CLgHuBjYCtimkAaAkHF7Ysya/Rjwv3H77Wa2YzzOs4Ss28T2H4vbdwBmEDKKvxQzihcWlG8PnApsCWwE7BbTAFwKHBkzfF8D/DrGnwVsH8/jhLitVDbxcgrXYxvgWGBTM9uJ8CRdYeF5uazlzwF7mtn2wC+A32TabaB0ZnTnnHPOVdHat+r2BW6NT6ZhZh9I2oVQIgXgr0B2VuQeM7OYPXtWYR2QpBmEp+4mE5JF3hzjbwBuj++3lnQe4TZcTxqf2tuXmBYgZhb/WFK/En192szejMebHI/3EeEptYfiBFQ98HaMnwrcKOlO4M64rUk28QrXZpyZvR2P9xIhXxSELOL7xPflspb3Aa6TtAkh/ULnTLvlMqMvR9LxwPEAfTv1LP7YOedczRFKyhfdMbX2wEmEv9gryX5eLXN4pf1HAIeb2RSFzNp7p3SU0hnFBcyI9fOKHUxItHko8HNJW5lZqWzi5XIsFZ9f9twrZi2XdCnwqJkdIWkwMKrKeTRhZsOB4QDrrrZGWnIg55xz7Y5q9NZac2vtNU4PA1+XNABAUn/g34REkQDHAGkZ98I5FWq3HZ3Zvxfwdry9dkxRH74fj18vqTf5M4o/DwyMs2RI6ixpK0l1wHpm9ihwBnGWSyWyiSeeW7GSWcsJM07/ie+HreQxnHPOORe16sDJzGYQ1gQ9ppC9+/eETNzfUcjEfSxhnU+KT4GtJE0g3IY7N27/OfAU8BDLZ9L+IbBPvP03AdjKzN4HnpA0XdKFFfq/iDBIuyD2fzKwK+GW3Q2xzUmEdUgfEbKJT4+x8wnZxFfGKcDQuAD9GRrXUv2OUOPvidgX55xzriq1wKvWtPatOsysVDbtfUvEDcu8f5XlM2APK4r9OWGglN12OXB5iXZnAYeV2H500aZRmc9OyryfTLglV6xJnY8y2cSbMLNRRcfbu9RnFbKWPwlsmtn087h9BGUyozvnnHOuulYfOLm2b95SMf79/D8qe85Nq5s88cOlSfHd69Mm0Yb0T2s/pfYcwAfzpuSOnd8lrRzi4DXS6jPvMPDdpPgbXxqUFL9kXv5aZgAvzU379+asBd2T4o/qUenB1KbW7FKca7aymZ+kLe+rU1p8j15zk+L7d1mcFH/ff9K+X1+c1yN37IxPFiW1/fb8ztWDMr6wdtr39nMfbJEU/6zSatutprSHZDbomVazcxn5r/1TaSUdk9R5yZWqam7glK3x1tZJ2obw5GDWQk+K6ZxzblXzIr/51NzAqT2J6RQaWrsfzjnnnMvHB07OOeecA0JKAleZz8o1M0nnSto/vj+1UNrFOeecc+2fzzg1MzP7RebLUwnZy+e1Tm+cc865/DwBZnU1M+OktGLBl8Tity9LOjLTxhmxiO4USefHbU2KA0vqI+nVmOiSuO2NmABzhKQjJZ0CrAM8qlCY+HuSLs4c6zhJvy9zLoMViglfHfM+3Shpf0lPxOK8O8W4HgqFjsfFgr6HZfYfo1DoeKJC4eJC8eCSxYqdc845z+NUXU0MnFagWPDahDxLhwCFAdJBwOHAzrGNQo28JsWBY623KcBeMebLwEgz++xZYTO7BHgL2MfM9gFuAg6NmcsBvgNcW+G0Pkco4rstIcP40bHPpwFnx5ifAo/EIr/7ABdK6gG8CxwQCx0fVXTuTYoVlzq4pOMljZc0fuGytMeCnXPOuVpVEwMnShQLBnYB/hY//yvLJ6S808yWmdkzwJpx2/7AtWY2L9MGhOLAY2IW8GOAreL2m2lMPvkNGgsLl2RmnwKPAIdI2hzoXChSXMYrsTzLMmAGoTivEYr8Do4xXwDOikWHRwFdgfUJRX2vin2+hTBIKnjazN6M7U7OtFXc3+FmNtTMhq5W163SqTnnnKsBItyqa+5XramVNU4rWiy4sG+lNkZQujjw3YSyJv2BIYRBUTVXE2aLnqPybFNxH8sV+RXwVTN7PrujpHOAWcB2hMFxNl1ariK/zjnnnGuqVmacmqNY8IPAdwtPwcU2oExxYDObCzxNuJ12r5mVSk+9XLFgM3sKWI9w2+3vKSdYxkjg5MI6JUnbx+19gLfjrNKxeL0655xzOdS1wKvW1MRsg5nNkFQoFryUUFj3FOAaSacD7xHWFFVq4wFJDcB4SYuA+wmzQ4XiwK8RbpNl64ncTLgVtneZZocD/5T0dlznBPAPoMHM0mpvlPYr4A/A1Dh4epWwbusy4DZJXwMeJRQ+ds4559xKqomBE6xYseD4dc/M+/OJi8Uz20oWB46f3UrRQwNFxYgvBS4t2m134GIqqFTEOPuZmc0H/qfE/jMJi8oLfhK3j6JMseJK5tlCJi15LU8oAKp613R50/V89aCMrkvz13QC2GLp+knxvevWSopPqT83f9HrSW336JRWZ2+LTWYmxb83I+1cO/ebkxT/0aK0/s9bkvbv065rfVA9KGPngWm13vp2Tot/+v20n81ea81Oit9p/VeS4n/7Rtr6xDotyx37rJ5LarvPktWT4venb1L8ul3SzlWLhiTFT1r6WFJ8907rJsVv2z//z3K3WUuS2s5NngAzj5oZOLV1kvoSbu1NMbOHW7k7zjnn3HIKi8NdZT5wWkXM7CNg0+y2uCar1CBqPzN7f1X0yznnnHP5+cCpFcXBUUNr98M555yD2kxY2dxqccH7KiFpHUm35og7u1qMc84559oHHzitIDN7y8yOrB6JD5ycc861C54As7oWGzgV146L21qrftzGkh6QNCFmAd+8RH/PUahx90isB3dc3C5JF8aacdMkHRW3D5Y0Pb4fJun2eIyZkn4Xt58PdJM0OdaF6yHpvtjv6YW2yly/VyX9RtKTsfTJDpJGSnpJ0gmZuNPjtZgq6ZeZ7XfG850h6fjM9rmSfh37MFbSmsXHds451/EIz+OUR4ucU5nacdB69eOGAyeb2RBCrbfLynR9W+BgQrmWX0haB/gKYR3SdoSyLBdKWrvEvg2EEizbAEdJWs/MzgLmm1mDmR0DHAi8ZWbbmdnWwAMVLiPAG2a2CzCGkMH8SODzwLnx+nwB2ATYKR5/iKQ9477fjec7FDilkBwU6AGMjdduNHBcqQMrU6tuqS2q0k3nnHOuY2ipwWCp2nHQCvXjJPUEdgVuUajpdiVhkFbKXWY2P/b7UcKAZHfg72a21MxmAY8BO5bY92Ez+9jMFgDPABuUiJkG7C/pAkl7xMFeJXdn9nvKzOaY2XvAgpje4AvxNQmYSCgGvEnc5xRJU4CxhGzlhe2LgHvj+wnkqFVXry5Vuumcc64WSM3/qn5MHSjpeUkvSjqrTMze8e7NDElpSbWaWUs9VZendhysmvpxPYCPzKwhsT+Fr/Peoa1aA87MXpA0BPhS7OeDZnZujjazteoKX3eKffutmV2Z3UnS3oRB5y5mNk/SKEIBYIDFsVhw2X4655xzq4KkeuDPwAHAm8A4SXfHSZRCTF/CnaIDzex1SWu0SmejlppxKlU7DlqhfpyZfQK8olB+pLBmabsyxztMUtfY772BcYTbWUdJqpc0ENgzHiOvxbGfxFt/88zsBuAiYIeEdkoZSbg+PWP7g+IPVB/gwzho2pxwe88555yrqBUWh+8EvGhmL5vZIuAm4LCimKMJS3ReBzCzd5v7vFO0yGxDmdpxw2i9+nHHAJdL+hnQmfCNmVLikE8D9wHrA78ys7ck3UG4xTiFMAN1hpm9I2lwrosR1ldNlTQRuJ6wRmoZsBj4fs42SjKzByVtATypMB86F/gWYe3UCZKmAs8TbtetsM37LeTBw17MHd8jsYzEk+uklSbo3O2dpPhLHip117S8g3t8Lil+8Br5208toXLiC39Jil9s/50Uf9b2aSVgPn15nbT2G/6TFL/WgLSfnXcnbZYUP3C1hdWDMtbqmVZipneXtPb/cf8Xk+I37ptWYmbUIflLJQH0XW9W7tjH+qaVMurW46Wk+IenNCTF775G2lrMXp3Tfhel3ZLir57ZPSn+iPUW5I5dvKxl6raLFsvjtLqk8Zmvh5vZ8Ph+EPBG5rM3gZ2L9t8U6BzvnvQC/mhm17dMV6trsds0pWrHxTprrVE/7hXCwuxqXjCz47Mb4m2t0+Mru/1VGmvGjSDcPix8dkjm/ZnAmZldR+boB2Y2OPO+uP3sZ38kzLAVO6hMu9lreytQNReVc845txJmm9nQMp+VGqsVL5vpRFh+sx/QjTBZMNbMXmjGPubm61ucc845B62Td+lNwgNMBesCb5WImW1mnwKfShpNeNLdB06tyczOaY3jxluBGxZtPtPMcs1MOeecc+3YOGATSRsC/yGsgz66KOYu4E+SOgFdCLfyLl6lvczwgVMzknQ44XbfM9ViC8zsiJbrkXPOOZffqk5YaWZLJJ1EWMZSD1wT10mfED+/wsyelfQAMJXwVPnVZjZ9FXf1Mz5wal6HE3IkNRk4SepkZktWeY+cc865NszM7ic8/JXddkXR1xcCF67KfpXTrrOhlyphEm99FT4/QNLt8f3cmHhygqR/SdpJ0iiFEi+HxphhsVTJPZJekXSSpB9LmhTLk/SPcU1KuEjaFTiU8NTc5BgzSqFsymPAT2ObhdQEvRXKqnQuc26jJF0sabSkZyXtqFDWZaak8zJx35L0dDzmlTEnBpIuV8j8PUPLl2J5VdIvJU1UKCHTpPyMc865jke0TgLM9qZdD5woXcJki5hvCUK6g2vj+x7AqFiGZA5wHiHh1hHEEibR1oT7qzsBvybkXdoeeBL4doxpUsLFzP5NSMB5eiyxUnj2tq+Z7WVmvwRGEUq6QLiPe1ssCVPOIjPbE7iCcI/3B7F/wyQNiKkIjgJ2iwk+l9KY1+qn8SmGbYG9JG2baXe2me1AeDLxtFIHVqbkyvsL0h7bdc451z55rbrq2vs5lSph8lfgWzHT6C7AP2PsIhprw00DHouDlmksX3bk0Uxpk4+BezL7DFZaCRcIeaUKrqYxd1V2UFdOtuTKDDN728wWAi8TnkLYj/CI5rjYl/2AjeI+X4+5oyYRStJsmWn39vj/XCVXBnRtmZwhzjnnXHvTrtc4lSphQhic3AMsAG7JrCvKlhr5rISJmS2LK/ULikubZMuedCIMNvOWcAH4NNPfJyQNlrQXUJ9jcVuekivXmdlPsjvFpxNOA3Y0sw8ljaCx5Eq2XS+54pxz7jO1eGutubXrGadSJUzM7C1CDoifkUka2VyqlHCZw/JZzEu5Hvg71Web8ngYODKWWUFSf0kbAL0JA7aPJa1JmWSYzjnnnEvTrgdOwDbA0/E21U8J65YAbgTeSEkLkOgY4HuSpgAzaKyrcxNwelxMvnGZfW8E+hEGTyslnt/PgAdjeZWHgLXNbArhFt0M4BrgiZU9lnPOudomoE7W7K9ao8a7V7VD0p+ASWaWVuhrFZB0JHCYmR3b2n3Ja+jQjeypcb/KHW93n5rU/vz9Tk6Kr+/cNyn+5xvmr7MH0CnxnxNfXLc4yW15W2wyM6ntW57aJSn+hzOvTopfdGna+rXZ49Jqw/XbLK1WWqdt0+p73f7TLyTFT/qgT1L853rNS4rfoPfHSfFmafdFLnt2zaT4696oNgG+vO73X5I7dsGuB1cPyljWrX/1oIwrdkm7Nn06p2V72ajPR0nxW34u7c+R51/aqHpQxtlTe+eOnb7gbuYum93sN9XW7rKmDVvzqOZulvPfvHRChZIr7U7NrW+RNIFwm+r/tXZfikm6lHDb7Eut3RfnnHPOpau5gVNMEdAmmVmTqRVJfwaKy27/0cyaYw2Uc845l1sr1Kprd2pu4NTemNkPWrsPzjnnnMvHB07OOeecC4vDW7sT7UDVayTplFjy48aVOVAsZ7JOjrgRcQF1njb3lnRvfH+opLNWpo8rQtI6km5d1cd1zjnnmlULlFupxbxQeWacTgQOMrNXChtWsGDtMGA6IcdSszOzu2nMtL3KxLxRuQZ6zjnnnGvfKs44SbqCUMLjbkkfSxoes3NfHzNgj4nFYifGIreF/c6IBWSnSDo/ziANBW6MxWi7SfqFpHEKxXmHS/nGpZIOlPScpMeBr2S2D4tpCAqzVpdLelShiO9ekq6JM2cjMvt8QdKTsf+3xHIqZQvhxnYmx9ckSb3idZgeP+8q6dq4zyRJ+2T6drtCYeCZkn5X5RzzFCSul3RhvIZTJf1P3N5T0sOZvh8Wtw+O53+VQuHfByV1q9CHz2rVvffeJ3m+Nc4559o1o64FXrWm4sDJzE4gzBDtA1xMqIt2mJkdDbwLHBCLxR4FXAIg6SDgcGBnM9sO+J2Z3QqMB46JBXDnA38ysx1jcd5uwCHVOiupK3AV8GVgD2CtCuH9gH2BHxFKsFxMqNm2jaQGSasTkkfuH89hPPDjzP6lCuGeBvwgllvZA5hfdMwfxOu2DfBN4LrYZ4CGeJ22AY6StF6FvucpSPw94GMz2xHYEThOodTKAuCI2Pd9gP/LDEo3Af5sZlsBHwFfLdeBbK26gQPz5xdxzjnnalnq4vC746AHoDPwJ0kNhJpnm8bt+wPXmtk8ADP7oExb+0g6A+gO9Cdkub6nTGzB5sArZjYTQNINwPFlYu8xM5M0DZhlZtPiPjMIhW3XJRS+fSKOK7oAT2b2zxbCLcxsPQH8Pq73ut3M3iyaKNsduDSe93OSXqPxujwcixAj6RlgA+CNMn0vLki80MwWx3MZHLd/Adg2sx6sD2Fg9CbwG0l7EmraDQIKWfNeMbPJmfMqtOWcc87V5Jqk5pY6cPo08/5HwCxgO8LM1YK4XVB5bi7OwlwGDDWzNySdw/JFaCvJO+9XrUDuUuAhM/tmlf0/K4RrZudLuo+QwHKspP1pPG8I516tP8u1WUaegsQCTjazkdkdJQ0DBgJD4mDrVRqvbXEfyt6qc84551xTK/PkYR/gbTNbBhwLFGo3PAh8V1J3CIVn4/ZsAdzCX+Sz47qivIurnwM2VGMduHKDnjzGArtJ+lzsZ3dJm1baQdLGZjbNzC4g3NrbvChkNKGOHbGt9YHnV6KPlYwEvi+pc+F4knoQvi/vxkHTPoSZLeecc66iUKuu+V+1ZmXyOF0G3Cbpa8CjxNkoM3sg3r4bL2kRcD9wNjACuELSfGAXwlqlacCrwLg8BzSzBZKOB+6TNBt4HNh6RTpvZu/F2Zm/S1otbv4Z8EKF3U6Ng5GlwDPAP4G1M59fRjjHacASYJiZLcy57j3V1YRbbRPjGqb3CGvLbgTukTQemEwYbK6UlyZ9ylF9n8odf/bQtOTtvzr2vaT4OUvfToo/b+ibSfH//k+l5WdN3fjSoNyx782otCyvqbO2fz0pftEpabXnupy8NCn+xcN7JsUP+lla+/V1aQ/rvn7MpKT43s9skRS/Wqe0/oydlfb9PXyLGUnxF+z9TlL8UYO2SYq/4uD81+f4/x6Q1Pa8xAexbz9mTFL8ay9umBT/5sdptfP+8sSu1YMyTv1q2kPej35pbu7Y3a5suQd2anExd3OrOnAys8Hx7TlF22cC22Y2/STz2fnA+UXxtwG3ZTb9LL6KjzesSn8eoOlMD2Y2gjA4W64NM3uVzOCq6LNHCAuri9sanHk/Htg7vi9Vjfaz9s1sASHtQtm+xa8rLoQ3s56Z9+eU+izO9J0dX8XKVYbNXoeLKvXBOeecc0155nDnnHPOAb44PI82O3CSdAdQPPd6ZvFi6PZM0lPAakWbjy08Aeicc865tqXNDpzM7IjW7kNLM7OdW7sPzjnnHHiturz8GrUytYF6e8455xyAZM3+qjVtdsapvYtPuiku4s6ltertOeeccy4fn3FqRpl6cJcBE4G/xHpvMyT9MhOXt97ekZnP5sb/ry1pdKyXN13SHmX6Uh/bmB5r1v0obt841syboFBrsMkTijHus1p1C624soxzzrlaVNcCr1rjM07NbzPgO2Z2oqT+ZvaBpHrgYUnbEvJEXUWoo/cicHNi+0cDI83s17Hd7mXiGoBBsRYgkvrG7cOBE8xspqSdCbmn9i3e2cyGx1j61a9Ze3Otzjnn3ArwgVPze83Mxsb3X48JOzsREmVuSRiA5623V8o44JqYMfzOTO25Yi8DG0m6FLgPeDBmad8VuCWTlLP4qT7nnHMdkAR1NbgmqbnV4ixaa/sUQNKGwGnAfma2LWHwUig1k+cncwnx+xPXS3UBMLPRwJ7Af4C/Svp2qZ3N7ENCHcFRwA8ImcbrgI/MrCHzSkul7JxzrmapBV61xgdOLac3YRD1saQ1gYPi9rz19l4FCrVLDgMKNek2INSiuwr4C7BDqZ0lrQ7UxYztPwd2MLNPgFdimRwUbLfip+icc851LH6rroWY2RRJk4AZhNtmT8TteevtXQXcJelp4GHiTBah/MvpkhYDc4GSM07AIOBaSYXBcaEkzjHA5ZJ+RhiM3QRMqXQuG238ITddckeVM250z0/2yh0LcMvfbk2KZ+GCtPCJXZLiG7o9nhS/ZF7X6kFR535zktr+9OV1kuJnj9ssKT619tzn7nw6Kf6FQz+fFD9wg7eS4v/1WENS/NbrvZYU363HvKT4QQPT6i5OeGWjpPhNB85Kir/7zn8mxd/24z1zx953x31JbbMg7feWpWm17fqtlla/rWF+2vf24AEDk+KtU6/qQRl1r72fO1artdzttFosytvcfODUjCrVxSuKy1NvbxaQ/VvnJ3H7dcB1OfoyhRKzUWb2CnBgtf2dc84515QPnJxzzjkX1iT54vCqfOBUA7zmnXPOuebgC5+r84HTCog5kY42s8tWYN8GYB0zu7+5+uM175xzzrlVwweXK6YvcOIK7tsAfCllh/j0m3+vnHPOtaDmr1NXi7f+/C/jFXM+sHEse3KhpNMljZM0tVBaRdIRkv4VBz1rS3pB0vrAucBRcd+jJJ0j6bRCw7FEyuAS5VvWK3WcUiT1kHSfpCmxvaPi9iGSHovlVkZKWrtFr5JzzjlXY3zgtGLOAl4yswbgIWATYCfCbNIQSXua2R3AO4Tkk1cB/2tmrwO/AG6OySerlVvZDLjezLaP75scp8x+BwJvmdl2seTKAzHT+KXAkWY2BLgG+HW5A2dr1c3+OHedYuecc+2U8Fp1efgap5X3hfiaFL/uSRjgjAZOBqYDY83s7yvQdrZ8S6XjFJsGXCTpAuBeMxsjaWtCqoSHYrmVeuDtcgfO1qobsmmX2ptrdc4551aAD5xWnoDfmtmVJT4bBCwD1pRUZ2alpm4+K60SZbMpfpp5X+k4yzGzFyQNIayl+q2kB4E7gBlmtku1/Z1zznVMXquuulqcRVsV5gCFtLAjge/GArpIGiRpDUmdgGuBo4FngR+X2BdCaZUd4r47ABuWOWbJ45QKlLQOMM/MbgAuiu0/DwyUtEuM6Sxpq9QTd845V7u8Vl11PuO0AszsfUlPSJoO/BP4G/BkvAU2F/gWcAIwJt4mmwyMk3Qf8ChwVtz2W+A24NuFGOCFMsd8UNIWJY7zbonwbYALJS0DFgPfN7NFko4ELpHUh/C9/wOhJIxzzjnncpCZT8u5yvp3WtP273lU7vgzd5iZ1P6vxn8uKX7e0qVp7Q99PSn+vlfKTfqV9tLc/P+m+mhRWt/PavhPUvyOX3o0Kb77z9L68/yXG5LiN717bPWgjC6d1kqKf/3Yvknx/xq3Y1J8v9XmJ8U/MavkJHBZX9/i2aT4zp3S6red/XipMpjl/eGL+WsR/s/9Q6oHZSwl7e+am499JCl+0uRtk+JnfZpWp/GZj9Jqz51+xL1J8fVdF+aO3ev695j4zqJmn8wZ3G2g/XTwEc3dLMc/d9UEMxva7A23Er9V55xzzjmXk9+qa8ckDQAeLvHRfmaWv9S2c845h9eqy8MHTu1YHBw1tHY/nHPO1Qa/DVWdXyPnnHPOuZx84NQMJJ0g6dvN1NbZzdGOc845l0KEPE7N/ao1PnBaSZI6mdkVZnZ9MzWZPHCSVN9Mx3bOOedcBT5wAmJB3eckXRcL6N4qqXu5oriSRkn6jaTHgB9mC/XGzy6WNDoW6d1R0u2SZko6L3PMb0l6Ohb7vVJSvaTzgW5x243l4uL2uZLOlfQUUDIbuKTzJT0Tz+miuG2gpNtiseBxknYrs+9nteoWLkt7JNs551z75Akwq/OBU6PNgOFmti3wCaE4b6WiuH3NbC8z+78SbS0ysz2BK4C7YltbA8MkDYiJLI8CdouFgpcCx5jZWcD8WAD4mHJx8Rg9gOlmtrOZPV7cAUn9gSOAreI5FQZtfwQuNrMdga8CV5e6GGY23MyGmtnQ1eq6Vbt2zjnn2r3mv01Xi7fq/Km6Rm+Y2RPx/Q2EW2aViuLeXKGtu+P/pxHqw70NIOllYD1gd2AIIZs4QDdKZwDfr0LcUkLW8XI+ARYAV8eM5YVsbPsDW8b2AHpL6mVmcyq05Zxzzjl84JRVPCyeQ+WiuJ+W2Q5QSAG7LPO+8HUnwuzldWb2kyp9qhS3wMzKpn02syWSdiIMvr4BnATsS5hl3MXM/P6bc865zwjP45SH36prtH6hAC7wTWAsLVcU92HgyEKRXkn9JW0QP1ssqXOOuIpiMeA+ZnY/cCqN+Z4eJAyiCnENxfs655xzHYmkfSWdHF/7VIr1GadGzwL/JelKYCZhfdNIWqAorpk9I+lnwIOS6giFeH8AvAYMB6ZKmhjXOZWLq6YXcJekroR/SPwobj8F+LOkqfGcRhMKEpe1ZNkyZi9alPv8OndenDsW4MMl+dsG+FCfJMX36lFpcrCpdXssSIqftaB77th5S9L+rbLWgNlJ8Z22zd8XgPq6tNpnAzd4Kyk+tfbcoiXvJMX3WCut1t5mq89Kiu/UKa39rRd2TYpfd6O0OoqpswGzR6XVgUwxx/LXVgP4oO6jpPjUc+3bLe33fO6i1ZLiu9QvS4rv1DNtUr/LgI9zx6pz2u9tirrEmoLtnaS1gDuARcD4uPmrkn4NHGFmTf7Q8IFTo2VmVjyAmAzsWRxoZnsXfX1Oqc/MbBQwqsxnN1NinZSZnQmcmSOuYoXKuK5qpxLbZxMWnDvnnHMd3R+Bq83sL9mNko4jTJZ8s3gHv1XnnHPOORCoBV5t3JDiQROAmV0F7FhqBx84AWb2qplt3dr9WFGS7oh5nrKvL7Z2v5xzzrUfrZU5XNKBkp6X9KKksyrE7ShpqaQjm/G0K91TLbluw2/VtUGS6is9MVfMzI5oyf4455xzLSEmdf4zcADwJiH9zt1m9kyJuAsIa4+b06uShprZ+OxGSdsCr5bawWecWoGkO2M28hmSjo/blssEXiFj+OUxo/cMSb+scpwVzhzunHOu4xHW7K8qdgJeNLOXzWwRcBNwWIm4kwm5C0vlPFwZpwJfihU/fi/pK3F7r/hZEz7j1Dq+a2YfSOpGGF3fRmMm8F/EjOFnEjKGL5Z0GSFj+PXAT+O+9cDDkrY1s6nFB8hkDt/czExS3/hRIXP445LWJ4zet2jpE3bOOddhrS4pO6Mz3MyGx/eDgDcyn70J7JzdWdIgwt9n+1Jm3dFKOB7YlsaHsP5H0i5mdnq5HXzg1DpOkVS4vbYesAnLZwKvlDH863GWqhOwNrAl0GTgxEpmDo/HOB5gNVV8gM8551yNqGuZxdyzzWxomc9KHbF4muoPwJlmtlTNv9r8S8B2ZlbINzFC0jTAB05thaS9CYOXXcxsnqRRQFeWzwReMmO4pA2B04AdzexDSSPivk2sbObw+K+B4QC96wZ2rMQezjnXAYlWqS33JmECoWBdoDhh3FDgpjhoWp1wa22Jmd3ZDMdfBgwA3gOICacrJu3yNU6rXh/gwzho2hz4fImYchnDexNKvXwsaU3goHIH8czhzjnn2oFxwCaSNpTUhfAP/buzAWa2oZkNNrPBwK3Aic00aAL4FfC0pOslXRf78+tKO/iM06r3AHBCzNz9PKG0y3LKZRY3s7GSJhGyl78MPFG8b0azZQ53zjnXMeRYzN2s4t2RkwjrbeuBa8xshqQT4udXtPDxb5U0msaE0WeUyhae5QOnVczMFlJ6pqhnUVy5jOHDch7HM4c755xr8+KdkfuLtpUcMOX9OzAvSXvFt4V1vptL2tzMHiu3jw+cXFWf28a464H8dalW+0elibCm7ruiT1J8pzlpT6M++T9rJMV/ZY8xSfFH9chfk6rrWh8ktf3upM2S4m//6ReS4l8/ZlJS/L8ea0hr/9iJSfGpted6/fa9pPiHd06r5de/15zqQRlr90qro/jgE7tUD8pYbGmrK+5/Ne2P+O5PvJg7duQf0n426+ekXcsJ/71lUvwuJz+SFN+QFA2H9OuXFG913ZLi593XJXfsskVpNR1TtMIap9b2/zLvexAmHMYR1gSX5AOnGiDpDmDDos1nmllzJwpzzjlXq5ReXLm9M7NDs1/HND2/rbSPD5xqgGcOd84551aemb0uaTtJdZkUBcvxgZNzzjnnQq261u7EKpZZ45T1g3KDJvCBk3POOec6Ll/jtKpJGgzsamZ/i18PA4aa2UmV9nPOOefaGl/jVH2NU0eblWsJg4GjW7sTzjnnnFs5ZvY6sF3MoVhSzQ6cJPWQdJ+kKZKmSzpK0quSfiPpSUnjJe0gaaSklwrJthRcGPeZJumoStuB84E9JE2WVEgyuY6kByTNlPS7TJ/mSvp17NPYmP0bSQMl3SZpXHztFrfvFdudLGmSpF6S1pY0Om6bLmmPMudfL2lEpr8/its3jn2bIGlMzF5eav/j4zUaP/v9Bc3wHXHOOde2hZIrzf1qy+Lf7cdJulXSLZKOA7aptMapZgdOwIHAW2a2nZltTcjYDfCGme0CjAFGAEcSyp6cGz//CiHFx3aEmnIXSlq7wvazgDFm1mBmF8c2GghJJrcBjpJUqMPTAxhrZtsRMnYfF7f/EbjYzHYEvgpcHbefRlik1gDsAcwnzG6NjNu2AyaXOf8GYJCZbW1m2wDXxu3DgZPNbEhs/7JSO5vZcDMbamZDVx9Qshyec865GiLCrbrmfrVx5xEK/V5J+Dt7IHBBpR1qeY3TNOAiSRcA95rZmFgg8O7M5z3NbA4wR9ICSX2B3YG/x4K7syQ9BuxYYXupjHcPm9nHAJKeATYA3gAWAffGmAnAAfH9/sCWaqz63FtSL0JJld9LuhG43czelDQOuEZSZ+BOM5tc5vxfBjaSdClwH6F8S09gV+CWzLFWq3wZnXPOuZr1ZWCHWPplvpn9RtJTlXao2YGTmb0gaQhhJPlbSQ/GjwopsJdl3he+7kQYdJdSbnsp2XaX0nidF5uZldheB+xiZsUpqM+XdF88h7GS9jez0ZL2BA4G/irpQjO7vrgDZvahpO2ALwI/AL5OKPb7UZytcs4555ZTt4pr1bUBMrMln30RCg1XnFCo2Vt1ktYB5pnZDcBFwA45dx1NuL1WL2kgsCfwdIXtcwgFdVfGg8BnT+FJaoj/39jMppnZBcB4Qg2dDYB3zewq4C/lzkvS6kCdmd0G/Jwwov4EeEXS12KM4uDKOeec64jelbRJfN+bcKfnz5V2qNkZJ8K9ygslLQMWA98Hbs2x3x3ALsAUwAiVkt9RKGtSavv7wBJJUwhrpj5cgb6eAvxZ0lTC92Q0cAJwqqR9CLNTzwD/BL4BnC5pMTAX+HaZNgcB16rxyYCfxP8fA1wu6WdAZ+CmeE5lLX59Ae+d9Fzuk6nvtHXuWIC5D6Rdsq5d0+qZ1deVXeNX0tduKJUPrbw1u+S/27nzwMVJbQ9cLX+NQIAZH/esHpTR+5ktkuK3Xu+1pPh/jdsxKX6z1SsWJW8itfbcfk/dmRS/VfevJsUPsL5J8adsOi8p/tcz89dFBNjjxGeS4hf2y1/X8e0r3kpqu3fvtFp1a/ZPeyjlG8cPS4rv1TnlJgI09FuUFL/7eq8mxV//7Ka5Y9/64KaktlO0gzVJze1woDDj9D/ATDOr+AddzQ6cYp224lptgzOfjyAMdApfD87EnR5f2faszPbFwH5Fx8m2e0jmfc/M+1uJAzkzm01YTF58DicXbwOui6+KzGwKJWajzOwVwsJ555xz7jNShyzy2x8grvudGd9vUPiw1CCqZgdOzjnnnHNV3FPhMxHuXi3HB04tJD6hd7SZlXzcv5mP9RRNF7Mda2bTWvrYzjnnakW7SB/QrMxs29R9fODUcvoCJ1ImT1JzMrOdW/oYzjnnXK2R9DnC39UfAxcT1kSvUWmdU008VSfp25Kmxozcf5W0gaSH47aHFWrPEDNpXy7pUUkvx8zc10h6VtKITHtzJf2fpIlx/4Fx+3Exs/eUmOm7e9y+pqQ74vYpknYlZBTfOGb4vlDS3pJGxeykz0m6UfGmqqQhkh6L2bxHxsSaSDpF0jPxPG6K25pkEy9zTUpmGJf0BYXM6RNjltS01cTOOedqVkfLHA7cRsiz2AP4E+FhrL9W2qHdD5wkbQX8FNg3ZuT+IeHkr49TcDcCl2R26Ueoevwjwr3Ni4GtgG0KaQAIF3Cime0APAb8b9x+u5ntGI/zLPC9uP0S4LG4fQdgBiGj+Esxo3hhQfn2hFxKWwIbAbvFRJaXAkfGbN7XAL+O8WcB28fzOCFuK5VNvJQmGcZjioKfAfvHcxsP/LjM/s455zqYDpg5/FMzu9jMzgAazGwRUPFx3Vq4VbcvcGt8Mg0z+0DSLoQSKRBGjr/LxN9jZiZpGjCrsA5I0gzCU3eTCckwb47xNwC3x/dbSzqPcBuuJ41P7e1LTAsQM4t/LKlfib4+bWZvxuNNjsf7CNgaeChOQNUDb8f4qcCNku4E7ozbmmQTL3NdmmQYl7QXYdD2RDxWF+DJUjtLOh44HmCdbl3KHMI555xr1x6V9B3gemBpvHVXUS0MnARVU51mP6+WObzS/iOAw81siqRhwN4pHaV0RnEBM2L9vGIHExJtHgr8XNJWZlYqm3iTJEulMowTckw9ZGbfrNZRMxtOqGvHNv16tvl/MjjnnFs5AtTxMoefTLjLdCWhLNrfySSkLqXd36oDHga+LmkAgKT+wL8JiSIhJHx8PLHNOkLxXwi3vAr79wLejrM4xxT14fvx+PWSepM/o/jzwMA4S4akzpK2iokr1zOzR4EziLNcKpFNvFSjKp1hfCzh9uDnYkx3SfmzrjnnnHM1xMx6m1m9mXUxs55xOc7YSvu0+xknM5sh6dfAY5KWApMImbivkXQ68B7wncRmPwW2kjSBsNK+kJzy58BTwGuEIsGFgdEPgeGSvkeYSfq+mT0p6QlJ0wkZv+8r0/9Fko4ELpHUh/A9+QPwAnBD3CbgYjP7SNKv1DSbeCl7U5Rh3MzeizNlf5dUSF/ws3gs55xzHVq7WMzdrCR1ArZl+YmO8wnVNl6p2QSYZlYqm/a+JeKGZd6/Slhb1OSz+PXPCQOl7LbLgctLtDsLOKzE9qOLNo3KfHZS5v1kwi25YruXaLNUNvEmylwTzOwRIK0OhnPOOVebHiCsLc7WBNoc+H/A3wgTJcupiYGTa1mSUd9pSfXAqHvvuUntL5zfLa0/dWn/IhrQ++Ok+B37r5cUP/OT/P3p2zmtVt1aPdPqey1clnb3fbWE7ytAtx5ptdX6rZZWW61Tp7Q6hP17pV2f1NpzM+bdlhS/Y7djk+LX6vVJUvw6DEqK79TppaT4Lj3zf3+7rpZWu62+Pu1726tP2u/tHmuk/W6Nnd05Kb534u/ugAEfJMU39Ps0d+xdH6XV38xNHbJW3QAz2z67QdJEM/tyuR184FRCtqZcWydpG5rmnFjoSTGdc86lEB2yVt2IEtsq1oP1gVM7F9MpNLR2P5xzzrl2qJCqZ7ltEJJTm9mE4h184OScc845oEPeqvt/JbaJkPz6WMAHTu2BpHOB0Wb2L0mnAsPNLG1xiXPOOecqMrNDK3x2aqnttZDHqeaY2S/M7F/xy1Opkv7dOeecaw4dreSKpH6S/hhrv06UdEmZyh+f8YFThtKKBV8i6d8KxYKPzLRxhqRpsY3z47YmxYEl9ZH0akx0WUhG+UZMgDlC0pGSTgHWIaSEf1TS9yRdnDnWcZJ+X+Zceki6Lx5zuqSj4vaSBYWdc851dM1f4LcdLDa/lpDv8QhCqbb3CDVjy/KBU7QCxYLXJuRZOoSQLAtJBwGHAzvHNgo18poUBzazj4EpQGFR2pcJRXk/e+bVzC4B3gL2MbN9gJuAQ2PmcgiJPa8tc0oHAm+Z2XZmtjXwQJWCwsXX43hJ4yWN/2Bh2iPrzjnnXDuxoZmdZ2avxtevgI0q7eADp0ZNigUDuxASYEF45D+bkPJOM1tmZs8Aa8Zt+wPXFtYjxTYgFAceEwsLHwNsFbffTGNW8m/QWFi4JDP7FHgEOETS5kDnQpHiEqYB+0u6QNIecaC2GY0FhScTsoavW+ZYw81sqJkN7b+aL4VzzrlaJ3W8W3XAp5L2LnwRK3NUTKrlfyM2WtFiwYV9K7UxgtLFge8Gfhvr6w0hDIqquRo4G3iO8rNNmNkLkoYQigH/VtKDwB2ULyjsnHPOdTTHAddLWj1+/QHhabqyfMapUXMUC34Q+K6k7pk2oExxYDObCzwN/BG418xKpdZdrliwmT0FrEcoPvz3ch2RtA4wz8xuAC4iFPktWVC4yjk555zrIDrajJOZzYhLV7YCtjaz7c1seqV9fMYpao5iwWb2gKQGYLykRcD9hNmhcsWBIdyeu4XGWahiw4F/Sno7rnMC+AfQYGYfVujONsCFkpYBiwmFh8sVFJ5R6bycc851DO1gMXezkvS/RV8DYGa/LLePD5wyVqRYcPy6Z+b9+cTF4pltJYsDx89upfFWX5P2zexSwoLurN2Bi6nAzEYCI0tsn0zpgsJlzVvQlSkzN80dv+M25ZZdlTbx1Yrr8Jro0TmtRtZSS5tYfXe+qgdlpPxB8/T7PZLa7t1lYfWgjA0S6/KNnbVWUvygge8lxT8xa42k+K0Xdk2KXzux1tsA65sUn1p7btz84upH1RycFL1xz7T6ajNe2jgpfrf1384dO+31DZLa7tN1QVL8hmv/Jym+W2LdxY17pf31N+GDtN/dQ/qm/WxuOiD/71bXN9Lq5rmKsgUvVyP8Uj5faQcfOLUjkvoSbu1NMbOHW7k7zjnnakxbv7XW3MxsuZQ+ki4EHqq0jw+c2hEz+whYbuonrskqNYjaz8zeXxX9cs4552pEH8I64rJ84NTOxcFRQ2v3wznnXPsm2v5i7uYmaSqNy2XqCOmFyq5vAh84tar45NslZnZklbizzew3q6hbzjnnXEdxSOb9EmBWmSfcP+MDp1ZkZm8BFQdN0dmAD5ycc861HHW8p+rM7PXUfdp0Hqfi2nFxW2vVj9tY0gOxxtuYmLm7uL/nKNS4e0TSTEnHxe2SdGGsGTctUzdusKTp8f0wSbfHY8yU9Lu4/Xygm6TJkm4sV4OuzPU7X9Iz8VpdFLcNjOc7Lr52a5ZvlnPOuXavo+VxWhFtdsYpUztuNzObnUkmWagfd52k7xLqxx0ePyvUj9uckJX71qL6cfMy7dxuZlfFY51HqB93qaRC/bhHydSPkzQcOMHMZkraGbiMEqkKgG2BzwM9gEmS7iOUbmkAtgNWB8ZJGl1i3wZge0JW8uclXWpmZ0k6ycwaYl+/SqhBd3D8uk+Z69efULRwczOz+EQehGSbF5vZ43HQORLYosT+xwPHAwzs3L3UIZxzzrkOp80OnChdOw7CIOQr8f1faSykC7F+HPCMpDz1484D+gI9acx5VKgf9ygha/hlknoCuwK3FJJjEfI9lHKXmc0H5kt6FNiJMJj7e7xvOkvSY8COwNSifR+ONeWQ9AywAfBGUcw04CJJFxCyjY8p049PgAXA1XHwdm/memyZOY/eknqZWTaXBWY2nJB8k891H1B7/2RwzjnXRC3OEDW3tjxwylM7DlZN/bgewEeFWZ+E/hS+zptRMdv/pZT4/pSqQWdm55aIWyJpJ2A/wgDwJMJgtA7YJQ7unHPOOZegLa9xKlU7DlqhfpyZfQK8IulrsQ1J2q7M8Q6T1DX2e29gHDAaOEpSvaSBhMzdT+e5CNHi2M9yNeiaiLNkfczsfuBUGlMWPEgYRBXiGor3dc451/EIUJ01+6vWtNkZpzK144bRevXjjgEul/QzoDNwEzClxCGfBu4D1gd+ZWZvSbqDcItxCmEG6gwze0fS4FwXI9wymyppInA9RTXoyuzTC7hLUlfC78OP4vZTgD8r5K7oRBjUnZCzH84552qVjDota+1etHkyq73RYGuRdA4w18wuau2+NKchm65mT/0pf02zZc++m9R+3Ya90zq0NK0m1Rs3bpIUv3hRl6T4Hr3m5o7ttdbspLb/cf8Xk+JTa9Wtu3ra92ry64OT4rdMrDe27kZpTwY/+MQuSfFd6iumZ2lircRaeKl2f/y+pPh7h3wtKf6APxQvo6ys7v2En4duaQ+NWF19Ujwvpv3sLH477c+RutXSal52WjutbuQ9l+TJNNPogC8+kjt2z+tmM/HtRWlFNXPYum8vu3X3Ic3dLFvc99gEMxva7A23kjY74+Scc865VcsXh1fnA6dmZGbntMZx463ADYs2n2lmI0vFO+ecc27F+MCpDZF0OPCCmT2Tsp+ZHdEyPXLOOdeR+IxTdW35qbqO6HBgy1IfSPJBrnPOuRYjPHN4Hh164FSqfEm87VX4/ABJt8f3cyVdEEuu/EvSTpJGKZR3OTTGDJN0p6R7JL0i6SRJP5Y0SdLYQioElSjfImlX4FDCE3OTY8woSb+JCTN/GtsspCXorVAepnOZczslU27lpsz5XhNLrUySdFiLXmDnnHOuxnT0WYwDaVq+5JeSBppZIdXBtTG2BzDKzM6Mg6vzgAMIM0TXERJnAmxNKJvSFXiRsNZoe0kXA98G/kBIL7Bc+RYz21fS3YTcUbfG/gD0NbO94teDgYOBOwm5rG4zs8Vlzu0sYEMzW5gpt/JT4BEz+27c9rSkf5nZpyt2+ZxzztUM1WbepebWoWecCPmb9o8zSXvEcid/Bb4VBxa7AP+MsYuABzL7PRYHLdOAwZk2HzWzOXHg9TFwT2afwUXlWyYDVxJq7JVzc+b91TTmrcoO6kqZCtwo6VtA4fn9LwBnxeOOIgzu1i+1s6TjJY2XNH72x2mPcDvnnHO1qkPPOJUqX0IYnNxDqPN2i5kVBh2LrTHp1TJieRQzW1a0/iib7GNZ5utlhOtdR/7yLQCfzQaZ2ROSBkvaC6g3s+kV9juYkKH8UODnCkWTBXzVzJ6vdtBsrbohm67m/wRxzrkOoK4G1yQ1tw4941SqfImZvQW8BfyMUM+uWVUp3zKH5TOYl3I98HcqzDZJqgPWM7NHgTNYvpDxyYr3ACVtvxKn4pxzzq00SQdKel7Si5LOKvH5MXG97lRJ/65Q8myV6NADJ2AbwjqfyYT1P+fF7TcCb6SmBUhwDPA9SVOAGUBhkfZNwOlx4fbGZfa9EehHGDyVUw/cIGkaoVTNxWb2EfArQrmYqZKmx6+dc845AKRlzf6qfDzVA38GDiKsGf6mpOKny18B9jKzbQl/bw1vgVPPraPfqhtJmIUptjtwVVFsz8z7c0p9ZmYjyMxSmdngzPvPPjOzVwgL04v78wTLpyPYu0zfbo0DoZLi2qvdS2yfD/xPuf2cc851XIV0BKvYTsCLZvYyQHwK/DDgs4kLM/t3Jn4ssO4q7WGRDj1wKkXSBMK6ov/X2n0pJulSwqj8S6v0wIsXw6z8NayWfpRWw0pvfpQWn1ZKjvff758U/0hiPbb+Xco92NjUTuu/ktT2xn0/SIq/ZMY6SfEX7P1OUvymA2clxXfulFZXMPUP7cWWNmn+65nzk+LXYVBS/MY9S2YHKSu19twhE25Jil/8Utof8TYn5fqn1fFT16Rw3n28ZEq7sp6asVVSfH3iz9pWG6T97u6zx7+rB2X89Lr8Pwv/mX1TUttt3CDgjczXbwI7V4j/Ho0PbbUKHzgVMbPmr3DYTMzs5OJtkv4M7Fa0+Y9mVumJO+ecc255LZeOYHVJ4zNfD48PIEGY6CpWshOS9iEMnJrcUVmVfODUzpnZD1q7D84551wFs81saJnP3gTWy3y9LuEBreVI2pbw1PtBZvZ+83cxPx84Oeeccw5olTVO44BNJG0I/IeQ3Pno5fuk9YHbgWPN7IVV3cFiq+Spulj+41lJN65kO8NiCoFqcSMkHZmzzb0l3RvfH1rqUciWJmkdSbeu6uM655xzWau6Vl3MlXgS4UGtZ4F/mNkMSSdIOiGG/QIYAFwWS5KNL9PcKrGqZpxOJEyvfba6TlKnTHLJvIYB0ykxjdcczOxuGkunrDIxd1SugZ5zzjlXS8zsfuD+om1XZN7/N/Dfq7pf5bT4jJOkK4CNgLslfSxpeMzQfX3Mgj1G0sT42jWz3xmSpikU4D0/ziANJZQRmSypm6RfxIK102O7pRaZlerTgZKek/Q48JXM9mGS/hTfj5B0uaRHFQr57hUL5D4raURmny9IejL2/5ZYUgWFAry/jNunSdo8bt8r9n9yzNfUK16H6fHzrpKujftMiovhCn27XaE48ExJv6twfvWx/9NjOz+K25sUF67QRmPJlaQnbZxzzrVLAtVZs79qTYsPnMzsBMIM0T7AxcAQ4DAzOxp4FzjAzHYAjgIuAZB0EHA4sLOZbQf8Lha+HQ8cY2YNMSfRn8xsRzPbGugGHFKtP5K6EnI0fRnYA1irQng/YF/gR4QyLBcDWwHbSGqQtDohw/j+8RzGAz/O7D87br8cOC1uOw34QSy5sgdQ/Hz0D+J12wb4JnBd7DNAQ7xO2wBHSVqP0hqAQWa2dWyn8ITdcODk+OTgacBl5U7czIab2VAzG7p6r1zjUeecc67mtcbi8LvjoAdCFus/SWoAlgKbxu37A9ea2TwAMyuXzGYfSWcA3YH+hCzc95SJLdgceMXMZgJIugE4vkzsPWZmMQP3LDObFveZQSjsuy4hYeUTcbKrC/BkZv/b4/8n0Diz9QTw+7je63Yze7Noomx34NJ43s9Jeo3G6/JwLESMpGeADVg+/0XBy8BGMe/TfcCDWr64cCFutTLn7ZxzroMRVjXTt2udgdOnmfc/AmYB2xFmvxbE7aJMHoeCOAtzGTDUzN6QdA6QN8Va3rnDbIHe4uK9nQiDvYfM7JtV9l8a4zGz8yXdR0hiOVbS/jSeN5TOaVHc3nJtFjOzDxVq+XyRMIP1deBU0ooLO+ec62Bq8dZac2vtWnV9gLfNbBlwLKHGGsCDwHcldQeQVEj9nC2CWxgkzY6zKXkXVz8HbKjGWnDlBj15jAV2k/S52M/ukjattIOkjc1smpldQLi1V7zOaDShlh2xrfWB51M6FW8h1pnZbcDPCcWLKxUXds4551wOrT1wugz4L0ljCbejPgUwswcIT7eNVyjAW1gfNAK4Im5bSFirNA24k5ALoiozW0C4NXdfXBz+2op23szeIzzp93dJUwkDqbILrqNT46LtKYT1TcWp4y8D6uPtwZuBYWa2sLiRKgYBo+J1GgH8JG4vV1zYOeecW+XpCNojmdXeSbnmJdWb1C13/D+HHpzU/kHj70vsT1o9sBcO3SIp/oZJOyTFT/4g/+L5qcteTWp71CFvJ8X3ufILSfFHDfo4Kf7uO9NKRH3tK2k/C7OXLKgelHH/q2mrDd4/cVJSfKfEWnszXtq4elDGvhdPT4qve+mlpPjOw9L6f9+Q/FlRDp5wW1Lb+uyGQj4vHJZW/eqBZ7ZJin99XlrRy4c+/DAp/sa93kyKX3eL/N/bvW58h0nvLGr2p3a2G9DdHji44k2TFbLOX6dMqJA5vN3xzOHOOeecC+kIanCGqLnV9MBJ0h3AhkWbzzSzka3Rn5Yg6SmaPh13bOEJQOecc841n5oeOJnZEa3dh5ZmZju3dh+cc87VBn+qrrrWXhze7qkN1LpbEbHfu1aPdM451xEU8jg196vW1PSM08qI5VsUUyXk0lq17iqRVG9mS0t8tDcwF/j3qu2Rc8451375jFNGrBn3rKTLgInAX2K9thmSfpmJy1vr7sjMZ3Pj/9eWNDrWqpsuaY8yffm6pN/H9z+U9HJ8v3E8LpL2i/XspinU0Vstbn9VoY7f48DXJJ0i6RlJUyXdJGkwcALwo9iPJn3I1qrLny/UOedcu+W16nLxGaemNgO+Y2YnSupvZh9IqgcelrQt8AIhf9S+wIuEXEspjgZGmtmvY7vdy8SNBk6P7/cA3pc0iFCSZUzMnD4C2M/MXpB0PfB94A9xnwVmtjuApLeADc1soaS+ZvaRQvHluWZ2UamDm9lwQm07pPra+8l3zjnnVoDPODX1mpmNje+/LmkiMIlQ3HdLMrXuLCTBuiGx/XHAd2KJmG3MbE6pIDN7B+gpqRewHvA3YE/CIGoMYYD3ipm9EHe5Ln5ekB3QTQVulPQtIC2xi3POuQ7DE2BW5wOnpj4FkLQhIWP5fma2LaFYbqHMS56fhCXE6xvXS3UBMLPRhAHOf4C/Svp2hTaeBL5DKLkyhjBo2oVQKLha8rNsTcCDgT8DQ4AJknym0TnnXFN11vyvGuMDp/J6EwYfH0taEzgobs9b6+5VwkAFQmmTzgCSNgDeNbOrgL8AldJUjyYM3kYTZr32ARaa2cexH4MLdfIItf4eK25AUh2wnpk9CpwB9AV6snzdP+ecc87l4DMPZZjZFEmTCDXdXibM8mBmCyQVat3NBh4Hti7RxFXAXZKeBh6mcQZob+B0SYsJT7VVmnEaQ7hNN9rMlkp6gzBgKvTjO8AtcQZpHHBFiTbqgRsk9SHMUl0c1zjdA9wq6TDgZDMbk+/KOOecq01Wk+kDmpvXqnNVbdGrr43YYffc8fs9NTOp/X/tnFYbqVNdqewK5W3zxceT4l98LK2k0px5PXLH1iX+obTFjlOT4rvtkFZP6z93ptXxe/LZrZLiP7/Zs0nxqdY9+sWk+A/vXyMpvkvPeUnxdZ3TlhB2221RUry98UlS/EMj0nIAHzzh1tyx9w75WlLbXerTfm8Hr/VWUvzM/6ybFG9VVzssT4lPF2+0VlqdyZS6iEeMmsK0j+Y2e626hoFd7eGvbtDczbL6lS94rTrnnHPO1Rh55vA8fODUBni9Oeecc61NeJHfPDrkwElSX+BoM7tsBfZtANYxs/ubqz+rut6cpMOBF8zsmVV5XOecc66966hP1fUFTlzBfRuAL6XsoGCVX+uYYLOUwwk5qZxzzrnPeObw6jrqwOl8YONYbuRCSadLGhdLkvwSQNIRkv4VBz1rS3pB0vrAucBRcd+jJJ0j6bRCw7GMyuAS5VvWK3WcUiSdIemU+P5iSY/E9/tJuiG+/2YstTJd0gWZfedKOjfe/ttF0vmZcisXKRT2PRS4MJ7DxiW64JxzzrkSOurA6SzgJTNrAB4CNgF2IswmDZG0p5ndAbwD/ICQWuB/zex14BfAzWbWYGbVyq1sBlxvZtvH902OU2a/0YRklwBDCRnEO9NYbmUd4AJC2ZcGYMd4+w2gBzA93v57BjgC2Com8TzPzP5NKER8ejyHl0p1IFur7qPFaU/+OOeca4dkULes+V81pqMOnLK+EF+TCDNDmxMGOAAnAz8hJJ38+wq0nS3fUuk4xSYQBla9gIWEDOJDaSy3siMwyszeM7MlwI00lltZCtwW338CLACulvQVIPez1WY23MyGmtnQvp275N3NOeecq2kdcnF4EQG/NbMrS3w2CFgGrCmpzsxKDZ0/K60Sdc28z5Y9qXSc5ZjZYkmvEsqt/JtQa24fYGPgWaBS4qMFZrY0trNE0k7AfsA3gJMIs1TOOedcE/5UXXUddcYpW25kJPBdST0BJA2StEbMxn0tcDRhsPLjEvtCKK2yQ9x3B2DDMscseZwKfcyWWxkDnABMjoWFnwL2krR6XAD+TUqXW+kJ9IlPAJ5KuK1X6hycc845XxyeQ4ccOJnZ+8ATkqYDBwB/A56UNA24lTCoOBsYE0uR/Bj4b0lbAI8CWxYWhxNui/WXNBn4PvBCmWM+WOY45YwB1gaeNLNZhFtuY2JbbxNuIT4KTAEmmtldJdroBdwraSphYPWjuP0mQtmXSb443DnnnMuvw96qM7Ojizb9sejrczOxcwhrkgp2LIr9QpnDLFfDzsz+WOI45fr3MLEwcPx606LP/0YYiBXv1zPz/m3CYvTimCfwdATOOeeyCovDXUUdduDk8ntu7hx2HZO/BvB9Qw5Man/XMfclxYcHDPOb3n2HpPjhk7dJip/xSf6nDp/Vc0ltP9Z3/aT4tU7aNSn++P8ekBR/3x1p36uDjzg4KX6OLUyKH/mHzZLi374irf5Z19XSniid9npana/D9h+dFB+e98jv4Am3VQ/KSKk/d8iEW5LaltIeMplxUJN/81U0fvbqSfH/mVcuzV1po+a9nhR/c7+u1YMy1l3ntdyx9Yk1EV3z8oFTK5I0AHi4xEf7xduJzjnn3CrhJVfy8YFTK4qDo4bW7odzzjkHXuQ3jw65ONw555xzbkX4wAmQdIKkbzdTW2c3RzstTVKDpKSae84552qY8MzhOXT4gZOkTmZ2hZld30xNJg+cKhTjXWkxH1UpDSQWK3bOOec6upoYOMWCus9Jui4Ws71VUndJQyQ9JmmCpJGS1o7xoyT9RtJjwA+zhXrjZxdLGh2L9O4o6XZJMyWdlznmtyQ9HfM5XSmpXtL5QLe47cZycXH7csV4S5zTTpJuj+8PkzRfUhdJXSW9HLc3SBobz/kOSf3KnN/XYjHgKfG8ulBUrLjE8T+rVQd+z9s552qfITX/q9bUxMAp2gwYHovZfkIoznspcKSZDQGuAX6die9rZnuZ2f+VaGuRme0JXAHcFdvaGhgmaUBMhHkUsFssFLwUOMbMzgLmx+K5x5SLi8f4rBivmT1eog8Tge3j+z2A6YT8UTsTMocDXA+cGc95GvC/Zc7vF8AXzWw74FAzW0SVYsXZWnVh/tY551yt88zh1dXSU3VvxMSOADcQbpltDTwkCaAeeDsT32SwkHF3/P80YEZMJEmc6VkP2B0YAoyLbXcD3i3Rzn4V4rLFeJuIdeZejIOvnYDfEwr51gNjJPUhDI4KpVauA7KJVbLn9wQwQtI/gNsrnLdzzjnnKqilgVPxsHYOYdDT5DZY9GmZ7QCFLHzLMu8LX3ciTMFcZ2Y/qdKnSnGfFeOtYAxwELAY+BcwgjBwOq3KfpA5PzM7QdLOwMHAZEkNOfZ3zjnXkRQWh7uKaulW3fqSCoOkbwJjgYGFbZI6S9qqmY71MHBkoUivpP6SCimDF6sxtXWluDxGE4rzPmlm7wEDCKVfZpjZx8CHkvaIscdSotBvPO7GZvaUmf0CmE2YNfNCv84551yiWppxehb4L0lXAjMJ65tGApfE21qdgD8AM1b2QGb2jKSfAQ9KqiPMCP0AeA0YDkyVNDGucyoXl8dTwJqEARTAVOBdMyvMrv0XcIWk7sDLwHfKtHOhpE0I/554mFAY+HXgrFic+Lel1jkViDrq67vn7DJ0qk/7F0un+rTx29JlC5LiV+uaVsZjnW5p5Qzenp+/BEyfJWllIbr1eCkpflm3/knx8yyxdMOCtGu/NPHBgg/qPkqKr58zJym+d++0+Pr6apPCy+vTNe36WF3aA7VKq+KBSGu/S8L5ppZQCUsr80v9vV2ve+LPpnVLil9r7hpJ8b17T02K79o/fzmduk4tNytUi4u5m1stDZyWmdkJRdsmE9YFLcfM9i76+pxSn5nZKGBUmc9upsQ6KTM7EzgzR1zP4m0lYuYDq2W+Pr7o88nA50vst3fR118p0fwHNC1W7JxzrsMyqMHF3M2tlm7VOeecc861qJqYcTKzVwlP0LVLku4ANizafKaZjWzBYzYA65jZ/S11DOecc+2H5LXq8qiJgVNbI6k+xxNznzGzI1qwL53MSi5kaQCGAj5wcs4553LyW3UrQNKdMRv5DEnHx23LZQKvkDH88piRe4akX1Y4RqtmDnfOOdcBea26qnzgtGK+G7ORDwVOkTSATCZw4H3KZwz/acjGzbbAXpK2LXOMVs0c7pxzzrmm/FbdijlFUuH22nrAJiyfCbxSxvCvx1mqTsDawJaENAPLae3M4bGP8Sk+H18751xH4OkIqvOBUyJJewP7A7uY2TxJo4CuLJ8JvGTGcEkbErJ+72hmH0oaEfctp9Uyh5vZcEJOKurU2X+TnHOu1snTEeThUwnp+gAfxkHT5pTIo0T5jOG9CQOajyWtSRgUVeKZw51zzrk2xGec0j0AnCBpKvA8obTLcsplFjezsZImEbKXv0y4hVZJm8gc7pxzroOowcXczc0HTonMbCGlZ4p6FsWVyxg+LOFYnjncOeeca0PUOHnhXGkNa3S1R762bu74Ln0+rR6U8ek7A5LiO3dLq0m1+3XbVw/K+HLftZPiN+k1P3ds6r/luibWSntnfloxs+/s+2hSfL8vvVs9KOPjkWm1+VIXps6YtmVS/Jr9P0iK79Xn46T4eXN7JMWv/8UJSfHvPZ52vvPm5q8xCWCm3LFLlqT9uzu19tzGt49Lij9j0IlJ8X06p/1uLViatrKlb5e09p//JH/Ny9s/vIn3Fs/K/83Kach69fbkD9Nq+OWx2umfTohPk9cEn3FqA1ojc7hzzjnXhD9VV5UPnNqAlswc7pxzzrnm4wMn55xzzgGejiAPT0fgnHPOOZdThx84SRos6ejM18Mk/ak1+7QqSNpb0q6t3Q/nnHNthEB11uyvqoeVDpT0fKyWcVaJzyXpkvj5VEk7tMj559ThB07AYODoakHtVaG4cAl7Az5wcs4516jOmv9VQfw76s+END9bAt+UVPz46EGE0mabEEqBXd78J55fmx04Seoh6T5JUyRNl3SUpFcl/UbSk5LGS9pB0khJL0k6Ie4nSRfGfaZJOqrSduB8YA9JkyX9KG5bR9IDkmZK+l2mT3Ml/Tr2aWzM/o2kgZJukzQuvnaL2/eK7U6WNElSL0lrSxodt03PZP4uPv+vS/p9fP9DSS/H9xtLejy+3y+2O03SNZJWi9tflfSLGPc1SadIeiaO1G+SNBg4AfhR7EeTPkg6Pl7j8e/PT3us1jnnnMtpJ+BFM3s5FqC/CTisKOYw4HoLxgJ9JaXljWlGbXlx+IHAW2Z2MEAsansB8IaZ7SLpYkLttt0I9d5mAFcAXwEagO2A1QmFdkcTZldKbT8LOM3MDonHGRbjtgcWAs9LutTM3gB6AGPN7KdxQHUccB7wR+BiM3tc0vrASGALQk25H5jZE5J6AgsIo+WRZvbrONIul2hlNHB6fL8H8L6kQcDuhCK/XeP572dmL0i6Hvg+8Ie4zwIz2z2e01vAhma2UFJfM/tI0hXAXDO7qNTBs7XqGtbo6qsFnXOuI2iZ6ZTVJY3PfD08/h0DMAh4I/PZm8DORfuXihkEvN3cHc2jLQ+cpgEXSboAuNfMxkgCuDvzeU8zmwPMkbRAUl/CwOLvseDuLEmPETJkl9v+SYljPxxrwSHpGWADwjdtEXBvjJkAHBDf7w9sGfsH0FtSL0JJld9LuhG43czelDQOuEZSZ+DOmP27CTN7R1LP2M56wN+APQmDqNuBzYBXzOyFuMt1wA9oHDhls5ZPBW6UdCdwZ6njOeeccy1kdoUEmKUSeRb/Yz1PzCrTZm/VxQHBEMIA6beSfhE/KqSfXZZ5X/i6E6UvMBW2l5JtdymNA8zFmTpx2e11wC5m1hBfg8xsjpmdD/w30A0YK2lzMxtNGAD9B/irpG9X6MeThPpzzwNjCIOmXQgDsmrnk03ffTDhHvIQYIKktjxgds451xpaZ3H4m4TJgYJ1gbdWIGaVabMDJ0nrAPPM7AbgIiDvKvrRwFGS6iUNJAxSnq6wfQ7QayW7+yBwUqbvDfH/G5vZNDO7ABgPbC5pA0Kh3quAv1Q5r9GE232jgUnAPsDCOBv2HDBY0udi7LHAY8UNKBQZXs/MHgXOAPoS6uo1x3k755xzK2McsImkDSV1Ab5B452lgruBb8e1yp8HPjazVrlNB237Vt02wIWSlgGLCet3bs2x3x2EWZkphKm8M+Jtr3Lb3weWSJpCWDP04Qr09RTgz5KmEq7paMLi61Ml7UOYnXoG+Cfhh+J0SYuBuUClGacxhFH2aDNbKukNwoAJM1sg6TvALXEGaRxhjVexeuCGuEZMhLVYH0m6B7hV0mHAyWY2plwnPpnTk5Gjd899MTYdOCt3LMCEt/PXwQMYsFparboT10mrH3beWxOT4j/3wRa5Y9ftklYHavc1FiXF9+m8JCn+tReLK/1U1m+1Une2y5s0eduk+L7d0uoc7nLyI0nx3zh+WFL8HmssTorv1int+n9r25lJ8U/N2Cop/j+f9qwelLFR749yx46fnVaHcL3uab+3ZwxKq0H+u/9clhTft9vWSfGDtFlS/B4910qKf2zem7lj5yxL+3MhSbNXwKvMzJZIOomwNrgeuMbMZig+8GVmVwD3A18CXgTmEe7EtJo2O3CKddqKa7UNznw+gjDQKXw9OBN3Oo0LqwufW5nti4H9io6TbfeQzPuemfe3EgdyZjYbOIoiZnZy8TbCWqTrSmxvwsxeIvNjbGZfKPr8YcIi9uL9BmfeLyas7yqOeQFI+1vNOedcbWuF+1Bmdj9hcJTddkXmvRHW8LYJbfZWnXPOOedcW+MDpzIk9ZV04io61lOZfE+F1zYtfMxhcR2Zc845F+5v1LXAq8a02Vt1bUBf4EQg7cb5CjCz4pwVzUIhP4LMbFmJj4cB02nFJxOcc8659qZNjAUlfTtmtZ4i6a+SNpD0cNz2cEwqiaQRki6X9KiklxUyc18j6VlJIzLtzZX0f5Imxv0Hxu3HKWT2nqKQ6bt73L6mpDvi9ikKNdzOBzaOsz8XKtR2GyXpVknPSboxDkyQNETSY5ImKGQyXztuXy5jd9zWJJt4mWtymaRD4/s7JF0T339P0nnx/Y8Vso9Pl3Rq3DY4Xo/LgInAevG6FTKm/0jSkcBQQm6nyZLSViw755yrTXVq/leNafWBk6StgJ8C+5rZdsAPgT8R0qtvC9wIXJLZpR+wL/Aj4B7gYmArYJtCGgBChu+JZrYD4RH9/43bbzezHeNxngW+F7dfAjwWt+9AyEJ+FvBSzMtUWFC+PXAqoZ7ORsBuCoksLwWONLMhwDXAr2P8WcD28TxOiNsK2cQbCHmZ5pe5NKPj5xAypBZq9xQyhw8hPFmwM/B54DhJhYXim8Xrtz0hS/ogM9vazLYBro0L28cDx8TzK9cH55xzHYQEqmv+V61pC6e0L3BrfDINM/uAkDbgb/Hzv7L8U2H3xBX204BZMU/SMsJgZ3CMWUZj5uwbMvtvLWmMpGnAMYQBV6EPl8fjLy1kDS/haTN7Mx5vcjzeZsDWwEOSJgM/IyTngsaM3d8CCs8pF7KJnwL0NbNyzy+PIdTQ25KQymBWnMnaBfh3PKc7zOxTM5tLyCZeGGi9Fuv5ALwMbCTpUkkHUjpTehPK1KqbszTtMWLnnHOuVrWFgZOonjo9+3m1zOGV9h8BnBRnXn5JqHGXolRGcQEzMlnDt8mkDWiSsbtUNvGSHTb7D2F27UDC7NMY4OuE+nJzqJxt47NkOGb2IaE+3yjC45xX5zlRMxtuZkPNbGiv+tTL5Jxzrl3yW3VVtYWB08PA1yUNAJDUnzCj8o34+THA44lt1gFHxvdHZ/bvBbwdb68dU9SH78fj10vqTf7M2s8DAyXtEvfvLGkrlcnYrRLZxCu0/STh1mBh4HRa/D9x2+GSukvqARyR+ewzklYH6szsNuDnNGYq98zhzjnnXKJWf6ouZgj9NfCYpKWE0iKnEArhng68R3qW0E+BrSRNAD6mMTnlz4GngNcIt/oKA4cfAsMlfY8wk/R9M3tS0hOSphMyft9Xpv+L4mLrSxSyc3ciFNp9gdIZu3+lptnEyxkDfMHMXpT0GtA/bsPMJsYF8U/H2KvNbJKkwUVtDAKujQM5gJ/E/48ArpA0n1Bnz9c5OedcRyZqcoaoubX6wAnAzEpl0963RNywzPtXCWuLmnwWv/45YaCU3XY5cS1T0fZZwGElth9dtGlU5rOTMu8nE2rfFSuVsbtUNvGSzOwvhHp2hQzgPYo+/z3w+6Jtr7L8dZlCiXp4cQbqtrx9cc45V+tq89Zac2sTAyfXti1cVsdLc/PXvNqw//tJ7b8yNy0bwocLuyTFr9UtbXF7HwYmxT+r/LXttGhIUtu9Oi9Nil+n55yk+Dc/7p8U3zB/XlL8rMRaaXMXrZYU35AUDb06p/2lMHZ256T4jXul/ZFat1pazbF6Va00v5zX56X9rmzYO//1+c+8+qS2l1ra73mfxJ/91NpzH82fnhTfvUe/pPi1u6X9ObLVgvz5iGeR9nPpmldNDpyyNeXaOoUM4X8t2rywpZJiOuecc2XVYv6AZlaTA6f2xMymkf4PZ+ecc861Ah84Oeecc84Xh+fkc3ItQNK5kvaP708tlHZpSyQdHpNrOueccy4nHzi1ADP7hZn9K355KtBqAydJ5VZwHk5jGRfnnHMdnqCurvlfNaamzkhpxYIvkfRvhWLBR2baOCMWw50i6fy4rUlxYEl9JL1ayI8Ut70RE2COkHRkLKuyDvCoQmHi70m6OHOs4yT9nhJiP06J7y+W9Eh8v5+kG+L7b8a+Tpd0QWbfuXHW6ylgF0nnq7HY8EUKRYwPBS6MRX43btZvhHPOufbJB05V1cwZrUCx4LUJeZYOAQoDpIMIMzE7xzZ+F2ObFAeO9eymAHvFmC8DI2O+JQDM7BLgLWAfM9sHuAk4NGYuh5DY89oyp5Qt8juUkHW8M41FftcBLiDku2oAdpR0eIzvAUyPT+Y9Q8gqvlW8DueZ2b+Bu4HTY5mYl0pcz89q1X261HNjOuecc1BDAyfSiwXfaWbLzOwZYM24bX/gWjObl2kDyhcHvpnGrOTfoLGwcElm9inwCHBIrFHXOT5VV8oEYIikXoQaeU8SBlB7ELKH7wiMMrP3YqHgG2lMwrmUxuSWnwALgKslfQXIlYgnW6uuR31a/hXnnHPtUGFxuNeqq6iWBk4rWiy4sG+lNkZQujjw3cBBsb7eEMKgqJqrgWFUnm0qZAp/Ncb9mzBY2gfYmDDrVemncYGZLY3tLAF2IgykDgceyNFH55xzzpVQSwOn5igW/CDw3cJTcLENKFMc2MzmEmrF/RG4tzBYKbJcMV0zewpYj1B8+O9V+jOaUNi3UOT3BGCymRmh5t5eklaPC8C/CTxW3ICknkAfM7ufsFC9oVS/nHPOdXS+ODyPmsnj1BzFgs3sAUkNwHhJi4D7gbMpXxwYwu25W4C9yzQ7HPinpLfjOieAfwANZvZhldMaQ1i39aSZfSppAY1Fft+W9BPgUcLs0/1mdleJNnoBd0nqGuN+FLffBFwVF6AfWWqdk3POuQ5E1ORAp7nVzMAJVqxYcPy6Z+b9+cTF4pltJYsDx89upei2WVEx4kuBS4t22x24mCrM7GFoLEpkZpsWff43GtdwZbdnz+dtwq264pgnyJmO4JPFxkOzFlcPjA5YP62e1sPvp9VX66e0NVf7rZVW/yzVaspf4WfS0iaTghVJuyXFb/m5F5Pi//LErknxBw9Iq7/1zEdpk5pd6pclxR/SL61+WEO/tNpwvTvn/7kHmPBBj+pBGZ3WXlg9KGOrDV5Jiv/f59P+Etx7rfy/u6PmvZ7U9lpz10iK32v1tDp7g7RZUnxq7bm3Ph2T1v6aWyTF7zQg/1qgp9LKb7pmVlMDp7ZOUl/Crb0pcVDknHPOtR0+41SVD5xWITP7CFhu1iiuySo1iNrPzN5fFf1yzjnnXD4+cGplcXDU0Nr9cM4517EZwnzGqSq/QitB0jqSbs0Rd/aq6E8KSQ2SvtTa/XDOOddGCKirb/5XjfGB00ows7fM7MjqkbTawElSuVnFBsAHTs4551yCFh04FdeOi9taq37cxpIekDQhZgHfvER/z1GocfeIpJmSjovbJenCWBNumqSj4vbBkqbH98Mk3R6PMVPS7+L284FusSbcjZJ6SLov9nt6oa0SfdlJ0u3x/WGS5kvqIqmrpJfj9gZJY+O1vENSv7h9lKTfSHoM+KGkr8VjTZE0WlIX4FzgqNivkn1wzjnXkXgepzxabI2TGmvH7WZmszPJJAv1466T9F1C/bjD42eF+nGbE7Jy36rl68fNy7Rzu5ldFY91HqF+3KWSCvXjHiVTP07ScOAEM5spaWfgMkqkKgC2BT5PqPc2SdJ9hNItDcB2wOrAOEmjS+zbAGxPyEr+vKRLzewsSSeZWUPs61eBt8zs4Ph1nzKXcGJsC0KZlemEMiudCDmlAK4HTjazxySdC/wvIcklQF8z2yseYxrwRTP7j6S+ZrZI0i+AoWZ2UqmDSzoeOB7SHrd3zjnnallLDgVL1Y6DVqgfp5A9e1fgFkmTgSsJg7RS7jKz+bHfjxJyIO0O/N3MlprZLEKG7h1L7PuwmX1sZgsIxXU3KBEzDdhf0gWS9ojFgpuIpVJelLRF7MPvCbXo9iAU+e1DGBwVEgNdR2OtusJ1KHgCGBFn0HLdcM7Wquv8WYUZ55xzNauQANNnnCpqyTPKUzsOVk39uDrgIzNryLzKZScrPpZl+lJNtv9LKTGjZ2YvxH5NA34bZ37KGQMcBCwG/kUYwO1OKMFSzaeZY54A/IxQ6mWyYlka55xzzqVpyYFTqdpx0Ar148zsE+AVSV+LbUjSdmWOd1hcRzSAUEZlHGGgcpSkekkDCTM7T+e5CNHi2E8krQPMM7MbgIuAHSrsN5pw6+1JM3sPGEC4jTkjzlR9KGmPGHssJWrVxWNubGZPmdkvgNmEAZTXqnPOOZfha5zyaLE1TmVqxw2j9erHHQNcLulnhDImNwFTShzyaeA+YH3gV2b2lqQ7CLcYpxBmoM4ws3ckDc51MUK9uqmSJhLWJV0oaRlhJun7FfZ7inDLsjDDNBV4Nxb5Bfgv4Io4qHyZ8tfyQkmbEGbOHo7n8TpwVrx1+Vszu7nMvs455zoIq8H0Ac1NjX8HO0nnAHPN7KLW7ktbst3q3e2Bgz+XO757v0+S2v/kndWT4rv2+rR6UMbocUOT4l/8pHdS/AY98/ene6e02mdXz0yrp3XqVu8kxQ/dLWXiFLoekTZJOe8f85PiO/VMi19t37S6hVN/k1bPbMCAD6oHZfTom/az//j4IUnx++zx76T4t14stcyyvLq6/LUCFyxMW/vYu3fatblzyvbVgzJmzulcPShj7W5Lk+K7J9ZRPP3l4Unx52xwQu7YK9/+B28tfDd/cbuchmzW1cYOT/uZyaPL3i9MMLO0P4jbMM8c7pxzzjmQavLWWnPzgVOGmZ3TGseNtwI3LNp8ppmNbI3+OOecc640Hzg1I0mHAy/EdAq5mdkRLdOj0uLarF3N7G/VYp1zznUgPuNUlV+h5nU4sGWpD1S+9EmLqXDMwcDRq7Arzjnn2jrJa9Xl0K4HTqXKl8TbXoXPD8iULZkbk05OkPSvWNJklEJ5l0NjzDBJd0q6R9Irkk6S9GNJk2Jpk/4xrkn5Fkm7AocSnmCbHGOypU9+GtsspCXorVAepsmKRklrSJoQ328nydRYmuYlhVIylUrX/F7So8AFkvaK/Zkcz6MXcD6wR9z2o5b7DjnnnHO1pb3fqjuQpuVLfilpYMx79B3g2hjbAxhlZmfGwdV5wAGEGaLrCIkzAbYmlDrpCrxIWGu0vaSLgW8DfyCkF1iufIuZ7SvpbkLuqFtjf2D50ieDgYOBOwm5rG4zsyaPWZnZuzGXVG9CpvDxhIHO44R0BPMkVSpdsymwv5ktlXQP8AMze0Ihg/oC4CzgNDM7ZIWuunPOuZpkatfzKatEe79CpcqX/BX4lqS+hNxL/4yxi4AHMvs9Fgct0wi3rgoeNbM5ceD1MXBPZp/BSivfAsuXPrmaxlxL2UFdKf8GdiMk2/wNmXIr8fNKpWtuMbPCs7ZPAL+XdAphELekwjE/I+l4SeMljX9/Qa5dnHPOuZrXrmeczOwFSUOALxHKlzxIGJzcQ5hZuSUzUFicSRy5jFgexcyWFa0FypZNWZb5ehnhen1WviVnN7OlT56QNFjSXkC9mU2vsN8YwkBpA+Au4ExC8s17y8RnE3Jlj3m+QqHiLwFjJe2fp9NmNpwws8Z2q3f3ZF/OOVfzVJNrkppbu55xKlW+xMzeAt4i1GYb0dzHrFK+JU8Zk+uBv1N5tglCtvBvATPNbBnwAWHw80T8PFfpmlhuZZqZXUC45bd5zn4655zrSIQvDs+hXQ+cgG2Ap+Mts58S1i0B3Ai8kZoWIMExwPckTQFmAIfF7TcBp8dF2BuX2fdGoB9h8FSWmb0a3xbKrTxOmOn6MH59CvAdSVMJdep+WKapU+PC+SnAfMKty6nAkrio3heHO+ecczm191t1I4FSSSJ3B64qiu2ZeX9Oqc/MbASZWSozG5x5/9lnZvYKYWF6cX+eYPl0BHuX6dutZvZRic+K21s/8/43hLVOha9fBfYtsc+woq9PLtP8ftWO75xzriMR5nmcqmrXA6dS4mP8nwL/r7X7UkzSpcBBhFtu7Uan7gsYsMPM3PFzXxiU1P7qW76c1p++85LiX3lkn6T4p99P+4NjGT1yx27bP6322RHrLUiKP3tqWp29R780Nym+7rX3k+Lru/ZNiu8y4OOk+Hn3dUmKv/7ZTZPiG/ql1UXcdMB7SfEHfPGRpPifXve1pPhfHX1H9aCMd19aL3fsuuu8ltR21/5pteqeH7NTUvxj895Mit9qwTpJ8TsNSCsNl1J7DuCc165IiE6rs+eaV80NnMwsrWrmKlRq9kfSnwlPz2X90cyqrYFyzjnnmlcNrklqbjU3cGpvzOwHrd0H55xzzuXjAyfnnHPOgYT5jFNVuRZzSDpF0rOSblyZg8WSJlVvLMeyIUfmbHNvSffG94dKOmtl+rgiJK0j6dZVfdwVFa/Zrq3dD+ecc22MpyOoKu+M04nAQfFpMiAUkM2bhTpjGDCdkGep2ZnZ3TSWTlllYu6oXAO9VUlSfSaDeNbewFxCLijnnHPO5VR1xknSFcBGwN2SPpY0PGbovj5mwR4jaWJ87ZrZ7wxJ02KuoPPjDNJQ4MZYXLabpF9IGhfzDA1XLO6Wo08HSnou1m77Smb7sFjDrTBrdbmkRxUK+e4l6Zo4czYis88XJD0Z+39LLKmCQgHeX8bt0yRtHrc3KZobr8P0+HlXSdfGfSZJ2ifTt9sVigPPlPS7Cuf3dUm/j+9/KOnl+H7jeM5I2i+2Py2e12qZfv8ixn0tzhY+o1AM+CaFenknAD+K57BHmT58VnJl9lxPHO6cc7XO4q265n7VmqozTmZ2gqQDgX2Ak4AvA7ub2XxJ3YEDzGyBpE0ISR2HSjqIUHB251iQtr+ZfSDpJEJx2fEAkv5kZufG938FDqGxNlxJkroScjTtSyjCe3OF8H4x7tDY7m7AfwPjJDUAbxIyjO9vZp9KOhP4MXBu3H+2me0g6UTgtLjvaTQtmpv1g3jdtomDrQclFZ6BbiAUEF4IPC/pUjN7o0S/RwOnx/d7AO9LGkTIATUmXoMRwH6x7Mz1wPcJBYgBFpjZ7vF6vQVsaGYLJfU1s4/iYHiumV1U7sJlS64MWb/OR07OOeccK5Y5/G4zmx/fdwaukjQNuIXG5I/7A9ea2TwAMyuXvGYfSU/F/fcFtspx/M2BV8xsZqw9d0OF2HtizDRgViw9soyQ7Xsw8PnY5ycUso//F6E2XMHt8f8TaCwEXK1o7u6EoruY2XPAa0Bh4PSwmX1sZguAZ4qO9RkzewfoKakXsB6hmG+2yO9m8Rq8EHe5Ln5ekB1MTiXM8n0L8Gq9zjnnypCvccphRZ6qy2aE+xEwC9iOMAgrzL6I5YvONhFnTS4DhprZG5LOAbrm7EPeGZBsgd7i4r2dCFnEHjKzb1bZf2mML1c0NzvrVOl2Y7YPn7VZxpPAd4DnCYOl7wK7EBJ7blhhP1j+e3QwYVB1KPBzSXkGp8455zqgWry11txWNrd6H+DtOItzLFC44g8C34238pDUP27PFpctDJJmx1teeRdXPwdsqMZacOUGPXmMBXaT9LnYz+6Z22olqXTR3KzRhFp2xLbWJwx+Uo0m3BYcDUwi3CpdaGYfE67B4EK/Cdf+sRJ9rQPWM7NHgTOAvkBPvMivc845t0JWduB0GfBfksYSbkd9CmBmDxCebhsfb4GdFuNHAFfEbQsJa5WmAXcC4/IcMN7mOh64Ly6ATsv7v3xb7xGe9Pu7QrHcsTQdCBUrVTQ36zKgPt5+vBkYZmYLixvJYQzhNt3o+GTcG4RCv4Vr8B3glnicZUCpfP31wA0xZhJwcayRdw9wRKXF4c455zoYtb1bdZL6S3ooPlT1kKR+JWLWiw+CPStphqRyRe+bhcISIOfKk/QepQeoqwOzczaTEuvx7Su+LfXF41s3vi31pZbjNzCzgQnt5LLDNn3t8Tua/9/SPTa5d4KZDV2RfeMT6B/EZTJnAf3M7MyimLWBtc1sYlwbPAE43MyeWenOl+CZw11V5X5BJY3P+8uQEuvx7Su+LfXF41s3vi31pSPGN4c2uMbpMELuQQgPQo0Clhs4mdnbwNvx/RxJzwKDCA9hNbs2PXCSdAdNF0KfaWYjW6M/LUHSU8BqRZuPNbNprdEf55xzHZQEdS0yLFhd0vjM18Njyps81owDI8zsbUlrVAqOuQq3B55aoZ7m0KYHTmZ2RGv3oaWZ2c6t3QfnnHOuBc2uNHMm6V/AWiU++mnKQeKDZrcBp5rZJ2ldzK9ND5xcm5f3XwypsR7fvuLbUl88vnXj21JfOmL8SlKr5F0ys/3LfSZplqS142zT2sC7ZeI6EwZNN5rZ7aVimosvDnfOOeccO2zb38bce0Czt9tzg3+szOLwC4H3M4vD+5vZGUUxIqx/+sDMTl3pDlexsukInHPOOVcThNV1avbXSjofOEDSTOCA+DWS1pF0f4zZjZDPcF811pL90soeuBy/Veecc865NsnM3gf2K7H9LUIFD8zscSpX7WhWPnByzjnnXBh6tL10BG2O36pzzrkWIKlHa/eho5FUnNql5LaVaP9reba1X8LUqdlftcYHTq7FSNpV0tGSvl14tXafUkgaFM9hz8Irxz65zlnSQElnSxou6ZrCq/nPou3JO6BoqYFHrEn5c0lXxa83kXRIM7a/q6RngGfj19tJuqzKPt0kbdZcfSjR/m45tzUpIF5qW4mYXAOKFRl45O179GTObdm2Us75Jzm3FdppUvqjUjmQxHN1raT2hoKuRcV/vX0VGEzm58fMzi2K+yuwMTAZWFoIA66v0v5A4LgS7X93ReJWpO8x9gLgKELm2Wz/R1doP+Wc7yLUI/xXJrYshYLRpwMbFPV93zLxuc+16BiXExLObS1pW+BQMzuvKG5N4DfAOmZ2kKQtgV3M7C9VzmFX4GpCoen1JW0H/I+ZnbgicSvS9+haQkmGXeLXbwK3APdWaD/lnC8Gvkio14mZTak06Jb0ZeAioAuhgHkDcK6ZHdoM51pwKbBDjm23ldh2KzCkQtsQBg+3NOO2av1cbpuktQiZortJ2p7G9S69ge5V+l71nCUdRFhPM0jSJZm43sCSCm3/F/DHom3DSmwryPt9aiEtlgCzpvgVcqnuAj4m/MVTqXjxUGBLS893kXdAkTTwyOyTp+8AhwObJRZoTjnn7sX1lqq4hVDI+SrynW/KuRZcRRicXQlgZlMl/Q0o/gt5BGHwUUhO9wKhoHXFgRP5BxRJA4/EvgNsbGZHSfpmjJ0fH2euZAQJ52xmbxQ1Wel7dg6wE6GUBGY2OWY/Lif3uUraBdgVGCjpx5mPehOKgP//9s487I6qSOO/N2FfAgECyE4YBwRkR/ZNAQUFkVUkiiAjKkpEEUUQkKAMyDIsw6JCQBBlVQjDHiAge1YCCAphEWRwoiCRPVDzR53O119/vd7v3m9Jzvs8/dx7+1bXPadvn9PVdareSuTWAtYBlpC0Z0ZuoaKG1DUoWjE86rY94JO4QbIScDpdhtMs4IcF+pv0+a/ARGB3fEwlmAUckaN7f+ALuCF8Q0b333Pkm/Q1op8RDaeIpljJzD5VQ+4xnAn25Yb66xoUTQ0PqN92gBnA/NQ3OqBZn2+UtKuZ3VQtCsBsMzu/QVua9DXBImb2cOaGn3dTW8bMrpJ0NICZzZZUy3ita1A0NDygftsB3pW0MO4NRNIaVP/PTfr8l+A1M0kLAIcTlu0KMNvM/lltu81Bk74ugHvu5gMWT+1/Hdg79XlN4DPAksBuqf2zcM9uEeoaFI0Mj4Ztx8wuBS6VtJeZXVvS3jRq99nMpgHTJF1hZu8BSBoOrGxmr+bovh+fB5bBDbm07kdz5Gv3taPoXMmVuQrxDEU0xf2SPlqjlt4ywBOSHiZ1UypafkihrkHR1PCA+m0HeBOYKmk83dt/eMkxTfo8GvihpHeA9/AnZDOzYQW6x0n6BvC7jO5/FMg36WuCmcGISAyKvck3At+QtHRKbnPcu1WFugZFU8OjSdsBjgduAVaW9GucA+bLFfqb9Plr+FLMivgy4G3AYSW6H5P0BWCopA/j/b2/RL52X81sAjBB0iVm9nyQHwIsli5JYWbXA9dL2sLMSmOCMvprGRQtGB61257BSpKG4QbKL/Alrh+Y2W05+lvp8+2SdsfvnVOB/5M0wczSXiJCe5+XtCPwlpl9EJZY1wJ6jMkW+9p2WOBxiihHZA6PaAR50Ou/Ac/iN/Dkhr9eRm67vOPDBFGmfxawaNBdaFDUlWul7UH2wIL2X1qiv6U+14GkZ/NV28gC+dp9TR0zEi/xsCXwajh2lJk9l5HbCI+7WBf3so0A9jazvCfp9HHL4AbFjqE9twGjA09LY7lW2p6SXxrYPOh/0MxmVrS9pT7XgaRF8CXAnUN7bgXGmNnbBfKN+hqOuQI36N7HPT5LAGeY2c8ycqfiS35v4cbl+njdr8sr+nA37k2aY1AAPQyKunKttD3ITjOz9SV9EjdWfwSMNbPCGKEmfZY0xcw2lHQIbvQdL+nRonElaRKwDTAceBD3ur1pZgf0tq+dwIYbLGcTxu/Xdr1LLHNOy8zhAxHRcIpoBEmr5u1PnpIGMgZa28MT94dJxVOYWWHweUPdLfdVns02xMxmlcjMhy91CHgq8SL0N2q2fStgqpm9IWkU7pU4q+rc1O1zq8ZHOHYosGgdL0OdvqZkp5rZBpIOwIOevw9MynngSeQ+h8f5HQHcZWbrV+ivZVA0NTyatD3IPmpm60k6C7jbzH6X/GYN/ZV9ljQdN3AvBY4xs0cqDKfJZraRpG8BC5vZqWXtadLXTmDDDZazCXfm2nS9whJLnzlXGU6RjiCiEczs+XCDeQtfKki2bpC0uaRHJP1L0ruS3pdUy+Usabikj6mCBqCuXNO2B90flnSNpCckzUi2inbX7nO4cdyDexd+HF5PqNC/rqR9VYPeoUlfU/pHh2WON4EzJU2WtHOO3D74TeBx/EZzZfDIlELSqZKGSZpf0nhJM4Ph0pJcK20POB94U56t9z3geaqzPZv0eedg+HwGX6pLMiKLdF8R+rso8DjwlKQy+SZ9TTC/vAjqHsD1wejLux7mD6+7Ar8pWQrOYj55AdZ9KclObCDXrU012w4wSdJtePtvlbQ48EGV/vBap8/JWH06GE0jgT+XyEse+H0A8D9hX9laWJO+RvQTouEU0QiSdpfXDHoWmAA8B9ycI3ousD8+qSwMHBL2VemvZVC0aHjUbTt4BtX5eNDtDviN9bKK5jfp82hgU+B5M9sB2BBftihq+/H4UtE5oT2n4kseRfJN+prg4HDD3xlYFjiIUBcqgx+Z2SxJW+PZTJfi56oKdQ2KRoZHw7aDB2Mb8FngbDM7i+4BuXlo0uemxsfaoe17ADcBq+B1t4rQpK8JLsCvgUWBe4JHMs+ov0HSk3iG6Hg57UfukmEGdQ2KpoZH7bZLEnAc8ANgUzN7Ew+6PqhCf60+B2/gyma2ngVqDDObYWZ7legejdMt/M7MHg/9vau3fe0YkuDwdm9zGaLhFNEUY/DYkD+Z2ep4DaH78gTN7GlgqJm9b2Zjge1r6K9rUDQyPJq2HfcujMeXs583sxOAXM6kNBr0+e0khkXSgmb2JL4MVIS9Q3v/18wOwpd/yhiRm/Q1QZKmtSseFzIttS+NJJvs08D55kG2C1TohvoGRStej7ptB5glz44bBfxPuCHOXyCboEmfxzU0Ppp6GZr0NQkyfsXMVjSzXYPR+AJugGflxuH8VpuEdryJG5jFjalpULRieNRte9BlwO/NbLKZvRb2/d1K4tCa9NnM3qfkYSVH91BgNzPb3cxOSfU3N8GkSV87h2g41UE0nCKa4j3zIN0hkoaY2V3ABjlyb8ozoqaGpZcj8KeoKtQ1KJoaHk3aDvB2mMj+LOmb8viHZSv0N+nzi5KWBH6PZ+pcj6dsF+EtM/sAmB2Waf4G5AaGBzTpa4K6yxwvSboQX265SU62WWcuqWtQNDU8mrQdnNj0HeArZva/ePZbVfBt7T6b2Q8ouRFL2ilzyIU08zI0Wo4K1803M/vMzGbnyJ1uZq8GIwEzeyOco0LUNSiaGh5N2p7Cg5I2bai/SZ/vl3SupG0kbZRsBbrfp5o4NNuWJn2N6CfE4PCIRpB0B/5k/J/A0vgNfFMz2zIjtyrwCv5UfgSeHXJe8MiU6f8d7lr/Nu7heRWY38x2bUWulbYH2U3xFPglce/NMOBnZvZgif5W+7xdkL3FzN4tkDkPJ/L7PPBd4F94gHPuMkSTvqaOGYIbVzPM7DV55tmKyRO7pHXCcsMiwKeA6Wb25xCz8lELKd+ShltBirk8IP51M3s/xPQsntykJO1kZrc3kWva9qK+Z3Q9YGZbZPa13Occ/ZOtPMtLuNdydvh8oKWyOVvpq6Qf4fFuVwJvJPuz3jxJP8Z5hq6zBjcHST/Br+Gs/smtyLXS9iD7BP4A9VyQrZNNWrvPkvKW2cyKGfxPxxNArs60/boC+dp97QQ22mgFmzDhkLbrHTZszFwVHB4Np4hGCDext/Cn7QPwSfDXlpMqLicZXMXMnmrxtyoNioZytduePsbM3ij6Pke+dp9DvMyHzWxs8KosZmZ5tAPZ41YDhlUsQTTua43fLb3hN5XrS/1NjlFFFlZf62/a3zx51aSzUBfNx/v49VNJ8xGOq2VQNDU8mrQ9yDbOJm21z3UgaWx+c/JLQzXpaycQDad6mPsWHyM6CvMU7lXxG/6l4Um8R0kANay/lTk2a1CsiAc5tyTXtO1B9xZ4OY0m9dJq91ke7L0J/nQ8Fo+xuRwnY8zTLdwAGmlmJ0paRdLHzOzh3va1AepSW9eV60v9TY5p5Wmyk/qb9reHvHmcWyXMrCpIvui4WnE4deUyx9Rqe5B9PozVbcKue81jwMqOqd1nSUvgBKpJBu8EfIz/s0B3VWB6Vr52XzsDwZCqcL+IGOMU0QiS/gMvgHlh2LUiHqeTxQl4/a3XwOtv4QVnq/Qfj3OXJBXHE4OiJbkW2w7wX3j21N9D+6fRNVkW4QTq9/lzeLzHG0H2r5Rndp2Hx83sHz7PAv67SLhhX+ui7g2/VTd2J/V32rXeSf1NdefRg8wv6XA5xcY18ri93DukPCPztLB9ps4PSlpC0hmSJobt9GBktCTXi7aPBn6NxyMuC1wu51Cqan/dPl+Mj719w/Y6/uBTpHclSb+T9DdJr0i6VtJK7ehrRP8hGk4RTXEY7hV5HcDM/kx+0PTsoqewCtQ1KJoaHk3aTvj+L5ldVfXSmvT53RBPYTBnaa0Mm5nZYYQg6RBPU5bJ1qivEd3QqsesLp5rKN+O9pyPByqfF7aNyaFTkPSfeMbqE2EbHfZVoa5B0cjwaNL2gK/gY+U4MzsOzywtq7XXtM9rmNnx5tlxM8zsx5QnaYzFi1WvgD+8jKO8v0362gEIab62b3Mb5r4eRXQa75jZuwoFRuWjIu+JuGn9rQTvmplJqjIo6sq10nZorV5akz5fJc/SWjJ4hw7Ga2sV4T15enPS3xGUE/s16WtdFMaPZdDjRi8PaN7czMqugedq6q8rl8actifxX9a9ftjN1sUEXsahVIQ5fZaTZd5izvt0LM5MflISAG1me3Y7UBpqIaOrAFU0Elnk/U+bWncm7Dsl5S1h7QpsYJ7hhaRLgSk4N1IZ1rDutAI/ljS1F3KttB38f0ify/epNjyb9PktSVub2R+C7FZ4XFQRRpjTkiS4RNK3S+Sb9LUzmAsNnXYjepwimmKCpB8CC8vTqq/Gn6Ky+BawDp72/Rv8yfLbNfRnDYo7yDco6sq10nbwelGH0VWodQPKC7VCgz6b2Wn4Utq1eJzTcWZ2Tonus/ECv8vKM5P+APy0RL5JXwG/CSQGqKRRYUllTrCtmW2ekt1a0kHh/QhJ6diMT+T09wO6V4nvgbRBoRKW9Kzh0bTtOHHqQpJWBMbj2ZmXpGQfy9F/mqR1Spqf7nNTgtCnJf1M0tp5X5rZN7P7JK0oaUvlsOZn+prgfXlh4OT4kRR7UJdMvS9dRkvhrdDfRH+RQVFXLo0mbR8LPCTpBEkn4PXhLqrR/iVT78v6/HXgvyU9J+l5nOD20BL5meF6HBq2UYTl/wI06WtEPyFm1UU0QvAcfIXuBUl/aW28kMKNfo5+y6SeN5Xry7Y3hZyTac4jnpWkHUtaC79BCxhvZoUesFb6KulRnFhzPZwl/SJgTzPbLiM3J7DdzP5d0grA1WaWG9ieOq5W2nfQvz2wNs6kvQvwBzPbu7dtD7KN6oeFYw7BDaz58Jvzb4qWZdVVj+1knL7gijL9ch6mzwf9Q/DlrN9aQb06SafgXFRP0HVTtbLEC0mfCO2egV8PqwIHmfN7peX2xyks7gpy2wJHm9lvi3SH4zbADcQlwnH/AA60TOZnXblW2p6S3wjYOsjeY2ZTKtreuM9h3FL0H6XkVsGNqy1wj+/9eMHq3Cy/pn1tNzbaeGW79/7CesstY7GFvjNXZdVFwymiI5C0Cc47tBrdDYNaxSrrGhRNDI8mCB6Ub9Gz/WU3p9p9lnQocCL+tP0BXSnQhfEScm6jlTO6C/lvmiJlUBwHvGRmFyk/tX0qztQ+OTEGVFGoNcjUSvuWF1JdH5hiXul+Odzo2623bQ+yU4BvAGfiJJiPS5puZh8tP0MgaU3cwNkfX0L7RY7xcSPwErAjHqPyFvCwVRTKDcdui3srl8Q9kmMswwMm6SlgPTN7p0pf5rgF6SpS/GTR8XKOqk2D3ENWQYCZObauQVFLroW2nwjcC9xvzWhEavVZ0jO4F+te3Ch7okLvQhaIehu0pVZfO4FoONVDXMyMaAR5xskY/EloPgpufnhmy/eA6VQX2UzrzzUoyARg1pVrse3gGWgX4ctbddvfpM9HAuuY2cw6iiWNAb4MPENXrJJRUAamYV8TpEuRbKviUiStxJc1SftO4o/qsqQ3aTv48mmT+mGAxyLh8VBrATOBacB3JB1qZp9Pie6Lk2WeZk5Q+SHKi/wOxUu5HIQb3afj19I2uMft3zOHzAh9q31DlXQvvkR5L3BfieFxWSJnzsZfV383gwL3hrUs10rbA57Djdqzg6GeGDjXl+hv0ue1gc3w/+a04AWeZmafK5B/TNIrdPX3viJPZWhLk752AJorg7nbjehximgESU8De+JLEGXLLX8ws62Lvi857s/AFlUGRV25zDG12h5kHzKzzerqDsfU7rOkW/ClpDdryj+FM1XXCtBu0tfUMcsDXwAeMbN7wzLD9mb2q4zckTgb8k7AyXhg+xVWHqOFNIeLanUzGyNpZeBDluGiUkOW9CZtzzluCE48WuUhOQPYDbgTuCjdZklPmdmaqc+XmdkXM8f32Jf6bgZuuF1kmeB5SWdbpraZpGtxj9x4UsZTVi5zzEh8+WobPNPsHdxQOCIj9/GU3EhgKm54nFWkOxy3IF0GxVa4cdnDoKgr10rbM8csjxuwRwLDy4z2Jn2WWxWbAtuFY5YGHjWzwjincC0m/d0VeM3MNmhXX9uJjTZe1e57sCoPoDkWWeAb0eMUMU/jL8BjNW7Gx0v6JT0n99xSAyk8g9f2qkJduTTqth3grBBrcxvd21+2NNakz0fjda8eot7N7zF8+eZvNdoOzfqa/Pb/AmekPr8AZI0m4eUg1sKD35PA9tL4soDzcE/cx3Fv2L9wLqputcWsi2T0gmBglrKkB8wCzjIv0ZJkyv0mT1DSFXjw//vAJGAJSWeYWVm9useAYwsM3Y9lPncLIg8epdyaZeG7S8zsxLzvC66HG8JWG2Y2Q9JbeMbdu8AOwEdy5O6UNAH/T3bAz9M6QKnhhJ/L98LrB3jpobxrta5c47YDhPG3dtB7L14cu3Q5u2GfX8c9ymfgy7SlTPxyzqatcENofeBxPLGjqC21+xrRf4iGU0RTHIUXOZ1A9xv+GRm5g/Cb1/x0LVsZUGU41TUomhoeTdoO8FE8Lf3jmfYXloagWZ8vxL0XdZcyTwamSHos0/aimKsmfQXmxCAlhtYCoR//MrM5WUZhie73ZrYxUMdYSmOzEIc0Jeh6VU71kG1HI5b0gHuAbUIc2HhgIh5AfUCO7Npm9rqkA/ClsO/jBlSZ4XSAmV2caed4M/tEsvQSlgqTTMbEgyX8BvjzPKXB0NsBX3auBXMm+AXoWsJ7yrqoFHIRlshmAlfgS9DfspB+n+0THof2AG54bGpmdYz1ugZFI8OjSdsDlsYZ8l/DA89nWkWR3IZ93h/3CH0DOETS/bh3anyB/AvAI8BPzexrZe0IbWnS17ZDiCFxqa4S8QxFNMVPcE/BQpQTMK5vNYJtc1DXoGhqeED9toMTbI6suzQW0KTPs82sSRTmpcAp1O9vk74CPWOQJO1BT28KhAr0ZvZIHb0p1OWiSnumTsS9SdeS8UxlIDN7U9JXgHPMM+WmFsjOL2dj3gM418zeS+K1eiiVFgIWAZYJRlnCCTQMJzWcAzM7GThZ0slmdjT1cb+kc6lZ+FbS9vj18Fxoz8ryQsD3lPzG2fgNf388sH+CpHvM7JmM3KO4d2xd4J/Aa/Kix1WUAXUNiqaGR5O2kyz5SfoITgVxl5wnq5Ctu0mfQ6zU9SG2aRc8Xu4oYOEC3RuGtn9B0g+APwMTzKyIIqF2XyP6DzHGKaIRJE2ss1Yt6RfAmVaRdZJz3P1mtmW75DLH1Gp7kL0Sf9qruzTWqM9yLqbn8eDztEeoKHtwguWk1pfor93XCj0PWoYXSF6B/t/x9teqQB+OOwD3Am2E3/j3xjmPrsrIJRlyU6wra2+alWSlqUGmnKTDcS/TNDwoexXgcjPbJkd2NH5zXAH4a+qr13GPybkF7VmRrsB8AIoMGzUsfCtpEvAFC4Wkw9Lkb4IXsBSSFsM9o0cCK5lZUa3GtNzyZrZgle5wXNqgWNbMcg2KunJN2y5PitgGpxQYTvAiZb2FNfTn9jnEl20API17p+7Fs/AKM+eC3iRuaRT+367W2752Ahtvspo98NBxbde74HxfiTFOEfM07pC0s5ndViG3NXCgvNr3O9S8ueJPiF+l2qCoK9dK2wGWA56U9Aj1lsagWZ+/EF7TnomyrMBJcl6gG6gXc9WkrwBIShNLDsG5mvKerHapqzMNM/t1uOknXFR7WD4XVVOWdGiQKWdmZ+NP9gmeD8tlebJn4fFu37KK4PcE8nIdnyfDs4QvJ+bhK2Y2I6OjLItw/sRoCm38kyrqmUk6Hb8+F8ONiePwm35W7pv4DX5j3DC+OE8u57isQfEl4KFW5Vppe8Au+Hk+y7wMUyUa9vk/cRqOXFJKSTtZKt5P0kRgQZy/6Q/AtlbA4RTkm/S1A4hZdXUQPU4RjaAuLp538CDPIi6eVXMOJ5k0JA03r7eW1f9s/mHd+Y3qyrXS9iCb690xswkl+lvqc4Gu7ATc1CtRu6+pY9KlIWbjS0G/yHrd5FlCeY15oUh3OK5WtlmBZ+pYM7u6TH84dlGr4O+R80L9FFjBzHaRM3Zvkbd8Iunj5sHDPdjKIT/wXw15lpTPlTWpyIMk6WLcELss7DoAmM/Ksw73wZfEXin4fp1gcH4PNzwmWU5sUMm43ZQaBkVduVbanvddjuwDZrZFZl9LfS7Q3+2/lDTCzP6vRP5AM7s09bltfW0FG2+yuj348I/brneBoQfOVR6naDhFtBV1B3bezaKm/h4Ta2/kMsf0agKucUztPjc9P9kJuIZ8yxOwnKDScGNsIWB1PEC5rCRJ3k1lKE6XsHZq3xA8Dfsf1GRJD8dtgQfTLmZmq0haHzjUujL00rI34+zMx5gTbM6Hk23mLev92MyOzxiVCczMDi7Qv4+Z/auizWvh2Vun0p3naRjwvaLzKU/pP4wUOzZwXl1DrUBnreutF+O2Y/objqspVsIQ39f6WxjnLZ3/uthkk5H20MQxbdc7n0bNVYZT9MlFtBuX4Z6CKqhaJBenUC+bq65cGnXbDm4wNEWTPjc9P6Nx70xdzOmrpKPMg6nPIWdpzjKZilkDQ17ioozHJpttlvStR7aZOfHl6cEorU3ACPwXHgx8Q9AzTan6bRksY2ZXhXZhZrMl5XpAzOz48PaQIi9JDt4EpsqztcoyPtcEPoPTTKRZ0WcB/1GkPBhIZ5CijmgD6l5vrY7bTupvckwrnoJO6m/a31bPfy1MmvTsrfNp1DIdUF2bb28wIBpOEe1G3YHdqqtzME/ATY7pywk48eZMbKgD8DirsART9H3TbLPbJO1FRU27nN/5i9TtNBQZOm9IWpquGKrN8WyqMjwr55S6Erizol21eJasK0NrCzN7oEpe0lVmtm/K45fVV6ucUVFz2izXl/o7vWzSSf1NdXe0r2b2qU7qn1sQDaeIdmOgTGIDcQLuJFqegM1sXHit5bGSlKZRGIJ7rgrjOFI4Rl4dvpQ5HPgOHp81W9Lb1IjPAv4iaUvA5BxHh9NlEGbxHdywWUPSfcAIPI6qDGviXqHDgIvk9eh+a2Y9yAybLJkG/D14p5Yzs3UlrQfsbmYnZeRGh9fPNNQf0YWOemzwuMAm6HR7IjqAaDhF9BcG+4TRaY/Wcx3U3f1AaRwlhpf1zCRM8z3NBv4H51mqwn9Tjzl8cUlL4WVd6i6Jfg1nel4ReBFnfD8sTzB4yLajq5BqJYGkOafPVcBVcj6ns4AJONki0CuP0C/wGKcLg9yjcnbzboaTmb0c3s6kq55fwpJ+c1n7a6AuX1mP6yyJS7NMuZgMnqupv65cGnPaLq+b2OPcpP7f3LI3FZjT5xC8fYuZzZJ0LP7QcJKF7FYz65ZEIOeQKlviva9hW5rwykV0CmYWt7i1bQMeTL3fGjgovB+BexqS75bKOXYIsGWF/utqtqOWXEnbFwWGhPf/DuyOp4En36+bc/xpeOHeIv1Lpd7vAywe3h+Ls4tvVHLs0Iq2n9uLvm4XtrPwpajdwnYFznicPXafOvtyZCaH1ympfdNy5A7BiT5fxSkF3sIDxNt5nW6JU0J8KdlqHLMdTs75LG5E7ZX5/kPhddW8rUTvIznnZWqJ/CSclHNFvLTO74BfV7R9K2DR8H4UHh+V26am4zbsf6DBuV8XryNX69w3bHsr56bJuH00dY7uBT6L8zgVHfsszki/doPzs2K4PrdNtnZe+3Hr/dbvDYjb4NrqTmLA8TjH0p/C5xXwat9V+gfzBHwI/gT5EO4BWaJEdsBNwHgadJ19k+vsy5F5CPfQJAbUCFLGQkpuOu5pmho+rwVcWaF7BB6A/nOch+di4OIC2ctwXp3zgHPCdnaF/mfDNbB/cg1VyC+HL6l9Bid4LJO9GVgjdV72xr0kRfKJ3LeAo8L7Hucxe73hnpP1w/vROIN1u8btj4G9CJnaJXLH48bwK3hm4/8C17Sj7b04N03G7ZTwejJOQlqqH/fO/ke43h4EvorXXiySPwX3ut0U/odxwA1V5z9ufbv1ewPiNri2BhPw1CA3JX1sDf2DdgJOHbsmTpT3PO612SFHZkp4HTATMB4TNDL1eXXgj6nPu+BGxis4gWSyXQI8XOO8HIDHFr2Il4R5inzvVeKBmQosmLyv0H1/6PO+4frZi4xHKNPP0usr55jCc50ju2/47y/FiyQ/C+xdIj8SuAPPxnsJJ0pcrUR+CrBFuA7WCfumV7QpuZ6Pwwk35+zLyE2ltXE7C1+GfQ9nVZ8FvJ4jNx33LE8Ln5cDxrWj7a2em9SxdcbtjfiS6jN4NuSC5HhNC/RvG/7fN8K18W85Mk8l13zcBu4WY5wimmK2mZmkz+LsvBdJOjBH7t0gZzAn9qAOksDg9+VVwosCg/fGDaApZnZQIDX8ZZvaHpqsLfCb/VfCvsrxEriJ1grbTLysx3ckHWpmn0+JviTpQmBH4JTAzTOkSK+ZzcJjYX4R0ux/A5wp6RpgjJk9nTlkD2BNa8btcwRwt6SExXo1utMM/BXPvNsd98glmBWOLYXVZw5/UdKSwO+B2yW9SvdyJ3lYxMy+X9WGgMeA5YGXqwRTeFfSYTjv0py4K8vhcQKOIVUoVs58fgdwTZ5ic9bwHcMYGRL+6zKMpiZLegqzAv3CKGDbcJ3msY23NG4tU+ewBEn80WxJw4C/UcyW37Tt0IBBPo0G43Zf4FPAaWb2mqQP0Z2DK0/vp/HyKasBpwO/xpnKb6KrUHOCGaFvLXNyRfQB+ttyi9vg2vCA2KOBP+E3n4TEMCt3JP5kNgP3lDyA135rVzseDq+TcMJAAY+3o+1BdjvcO/L98Hkk1cs5Z+BFPC8EPpb57qnM50WAPYEPh88fAnYu0T0UN1h+hz9Vfwd/Wt+bsKySkb8ZJ4Nsel4XxA3S9Sl48sVrZ2X3rVlT/3BgPTyodiNK4rpS/8PuwAIVcicBu9Zsw114/NStdFEHVHnjrsYD2p8BDsSDz88qkJ2e+Tyk6DoL3y+JZwGeQcqT19sxkvmN5cM1s034vAo5S9utjtsw/kbhtQcBVs6OgbD/vNDfr4WxMgUY24625xw3hBqewobj9rKc43vsS303Aydm7RG7mfcf40kWT4e2dORaiFvvt8gcHtEIkpbHg2ofMbN75eU3tjezX6VkBKyEP73tjE+qt1o9xm/hXp7SlHVJ5+ExLZ8HvotnaE218rITlW0vOG4IboS8XiF3MJ6i/mbOd0uY2T9Tn2uVH0l9NwO/4V9kmewlSWdbhlxRXhNsfaCKhDH7O+sCa9Pdq/KrjMxTpIrzSvouvoSyNiWQNAb4Mm58JBOPWUHZmCZQ58vpTDGzDSU9ambryWvD3ZrXdkk/w43D34Rd++HLXbkeMUnJ8ut0UjX5rIDWIGSLHYl7MNJFhHt1Hns5bs8Pbf+4mX0kZB7eZmaF/F6SVsMNm0crdC8KvG1m7xdkyqVlr8CNsvfxh6olgDPM7Gcl+puM20r2+8x3x5jZiWX9yxyT6wEvuhYi+gn9bbnFbe7c8LpPrRx3Pp6i/sfweTgh5qXkmNXw2mBVuhclZKeRkymXkb0C92QtijNYv4yXwSjT3yPzK29f2D8583ko8ESB7FDguIbn8cC8reKY46kRN4Z7x8bhXph78KfjSu8WHr9R6jnqo2vzlDr7Mt8nHs578KSEZYAZJfJ74p6MM4HPVeiuDKzPyE8Dvg58DC9MuzGwccUxs/DYo9eBt3HD4p85cq2O27oZk4ln6rjweRVyPFPZNlEzUYOuhIIDwvmfn4oYrTrjFvdUz8LpN5LzOAv4O3Byie67WjiXC4RrbN2i+Slu/bv1ewPiNri2BhPwf+NxHk31D7oJGPfOLBVuaMPD+6Vwg+6PGdkBOwHTIHAX50h6EXgB2Kpme66lIsOsl9dmrSxC8oOiq26uh4T/dlt8+eVvwNdK5JfHMyV3A5av0H0Eviz2odS1k5v2n1zHbThXe5BPNdHquK2bMdnKg1FeosbUAtnHw1i9Gtgu7MsN3m4yblPHFI7RAvmfAOfiMU2Vy9PA9nhw+gTcSH+26DqOW/9tMTg8ohEsEwQqaQ/8yTeLHYBDJT2PZ5EkSydVZSHeCy5uC/pHkFq+SOE8usgUT8SNj2vJkClmIDN7U9JXgHPM67NNLZCdPyzH7IFzJL2XBMzm4FA8KHUFYHJq/+v4TWIOrHn5kQT3SzoX51l6I6Vvcp6wpO3xzJ3n8HO/srwQ8D0lv/G21QjclXQ77oFbF1/auVjSPWZ2ZEUfTgamSHqM7suHWYLNxpB0Cr4k9gRdpVYMv/kkMl8HvoEzhqeXhxbHs/IKYWZJ4sE9VAQzSzoEzwC7Ez/350g60cwuLjjkXZxq4hhSS5glvzNO0jdwwz99Hv9R1q40zOz3kn6Q81Wr4/bs0J5lJf0Ej737UY7cZma2kaQpoR2vypney5CXqDG0QPZC/JqfBtwjaVV8HOah9rhNYGZHS1oR5+ZKL5MWjastw2t6uc7weSsPp+Oxjk/BnGXZ3+BexYiBgv623OI2+DdSZIqpfavmbTV05aWs75sjV8szlTlmCjVTlfFg3ZfwzBeF9t9bob9R8DsNeJbwJbTsdmeJ/CRSAdv40mShpyL08SJqBO7i2XDpz0MJQcEV/X08nNcd6CLd3K5N12BlGjce77IafiNKX5eF3p3UsT8Flkx9Ho4zRhe1ZenU56XJBBln5J/BCw/X7euzOVvhsmE4Zs/Utjeedt+DM63VcRuOXQv3RH4T+EiBTC3PVOaY7WiYqJE5fr6K72uP23DenqMmzQcpeo+yfanveng+8/bFrX+36HGKaARJ6ZICQ4BNyC/XUeSdKYXVT1mv65lK49vUTFU2sySjJcHzknbIk5X0cTO7E6cY2DP7vZldl3PMf+KB7YUekgy+Yp62ntZR5vmY38JTa2jDn4IHLRdmZpI2MLPXgAvkBW1zA3fNvRVb4xmBY3Ej4vKStiSYGc5rJ1CZxm0e5PtPSWcB/7CQ9i9pcUmbmdlDJfp3MbMfpnS9KmlXnPU9ixdxD2iCWfjScBEexzmcasHMVq8rm8Juqfez8Zv/Z/PUt6A7ndjwZM6+NPI8U3nnsKtBHrQ/IaFGCOMgN8lBTkvyU2AFM9tF0tr4w9JFObKNxy3wOZrRfFyDL8+lcTXFHqSJki7CSVrBHyQnFchG9BOi4RTRFHUn4P/BJ2HhsQSr40/i65QpH4wTMP5EfCfdz82cn8XLqWQxECfgByVtamaPmNlzRUKSjscN5jXxIPIFcMNpqwr9kySdjHsP0ktMucuNdSDpHPwcvwlMlRfLrcoiPJ/u5/KNnH1ZDJW0YPJ/SVoYp27Iw0vAQ5KuD237LPCwQnFkMzsjI/9+aPtdNdqOpEXw9PxVzOyrkj6MX0s3FjXeSrJNM2hp3Ga/Dw81G2f2DcG9Y0dR/WCUPi4Zd4sBq0haHzjUzL6RI34Jfk0eEz7/CV/ebte4rcWzJGkt/JwskTHKhlFef/HruNfucPz83IOHJUQMIETDKaIR6k7AZvbR9GdJG9GdTLEIg24CNrPjw9tDrLygZxoDcQKuG9/yOWBDQlyImf1VUh0CxA3D6+apfWXxHnUwMbxOwg2yNIq8JzKzOd+Zx3VVzYWXA+MljQ16D8ZjyPLwTNgSXB9ei87R78NWF2Px/ibxMy/iRnQPw0nSUeaxfImB2Q1Z46zpuJUTU/4QWFjS63QVxH0XL3+T1v2BpNPNbAtSD0Y18F/AJwn/r5lNk5PA5mEZM7sqtAszmy0pd0y2OG7rGuhr4uV2lqS7YTYLTwTIRTDMzwhbxABFNJwiaqHpBJzz/WRJZZwug3YCTuHZsMR1JR5/VLbsMRAn4F1qyrXKLp271NkbWOC3kTTazM5KfydpdMFhMyQdjnuZwAPGZxTIJr9zqqTpdBnqY8zs1gLZHzfowpw+NMAaZrafpP3D8W9JUoFs8jAxseD7qraVjltrnuxwm6S98CLctZcFzewvmS4WjcU3JC1N1xL+5sA/C2QTNBm3CWFqVXuvB66XtIWZPVAlL+kqM9s3XGN582tVcH5EHyIaThF10WgCTpYlAobgyyD/VyQ/l0zAa+LGzWHARZJuxIn1/pAjO+AmYDN7vkp/wFXycjFLSvoP3Pvyi5I2jTKzyzPXRPp32/F0fSBwVmbfl3P2gQe/n40v7RpOEvrVqh8ws5txRva2QtJncFbyJFOrkLwz4N2wVJhcm2tQ4Lk0s3HhtZZx1nTcpnCMpFFUENfSVVJptqS3qe4rwF8kbQmYPAPvcLrmoyy+g4+rNSTdhwef713R9trjtgUj9+/h4Wg5M1tX0nrA7mZ2UkYuMfI/01B/RD8gModHdAQhDiZBEgt1rZm9XXHcEJzdu4o5PGGKno3zSVVOwPK6bmfgvCqb4xPwJta9FlUiuxFe0HZdvLbZCLxQaynLcer44fhN+wAzK0qdrg15WvL5VEzAkj5kZi/L07B7oIFxVNaWU/Daa3PYpYEdrZgZ+1AzuzBzTaTb1MhDk9G9P369bA3cm/pqGF6bcMdWdWd+Z0+8iPCyeJ/r3PDr6n4az3abXuchQNJOuNG3Nl76ZSvgy2Z2d47sOEoCvi1DBdGLcVubOVzSUsCH6c5OX8bavgw+lnbEz/ttwGgz+3uB/Hy4MSQ8m7EHw3jJb+WO21YfSCRNwGvZXWhmG4Z9j5nZugXyi9JVz6+UJT2i/xANp4haaGEC3sfMrq7al/M7g3oClpfz2A9f9noEuNLMrk19P+gnYGXKToR9j5Z5s+Sxaoeb2Zm9/f2M3lXxAOaTgTQv0Sw8jXt2zjEL4XxAdQr2Jsc8DexmFXF0rUAeFP4JM6vKCk0fszRu/AunA5lZILddeLsnTsqZZD/uDzxnqUzBIN/quJ1sgZ8pdX1OM7P1M3KH4N6VlYCpoQ/3m9knqvpcF8E7tRrdeZaqyipVjduWHkgkPWJmm2bOy1Qz26BAfhJOljkcp02ZCLxpZgeUtT+ibxGX6iLq4rTwmjsB58gfjQesVu3LohZBXtEEjMeg5CLcXJpMQB+jawLeSFLpBCzp2dCWq/DyLG/kiLXqkl/EzB7OLDP2MApSuAfYJhie4/EJeD+a9b8b1EUgOVI9CSTvKzvWvM7Y7ngJkrYh3LCeB7aQZ0ImBvYf84ymgMvw2LhP4sSEB1C89JPglbpGU13vYApHATcF4zgd71a2hLkizoc0H7BtuDZ7ZIElDxKSxphZOp5vnKQ86otWx21depDR+H/0oJntIE9+KPU4Bl3/QU9jqIehK+kyYA18HKZpPno1bs3s5fD6fOY6e9jM/lbS/JlhKTU5L3vj5LGFzbGeJL1TSuQj+gHRcIqohboTsKRdgF2BFSWlOXuGUX6jTzBoJ2BgfasoBDzIJ+Ar8BifHt4dq8da3Yj9vAkk7YMb93fDHLbu75nZNTni/2Zm+0j6rJldKi8MmxvoncJESVfi2W9p4yYvZf0XBO9gkHk0/EaR4fQTvEj1Qji1QykkXYwXEX6crrFRlD6fYISkkRa4wCStji8/Jzp7O27r0oO8bWZvS0JO7/CkpDUrdF+PL8PeQXFMYoJNgLXrLHmmUDluE0jaF2d5v5vq6ww8burnwFqSXsKzgUeV/0QPlvR4nx5giH9IRFOUTsDAX3Hvxu505w2ahdfkqsJgnoDflXQYNZaABuMEbIFAEvcytoKm5Sea4Fi8xtrfYI6RfAfOf5VFslz5mqR18WLGq1XoH4ZnQu6c2ldkrDT1Di5lZjuXfJ/F5ma2dgN58LF3t6Qke3A1utMM9GrcWn3i2hclLYkboLdLejX8dhkWsYL4uRw8hnvEyx4qsqg9bnF6krrXWcIVt2NYOh9igXS1BKOpSdIb0X+IhlNEU5ROwGY2DZgmabyZvZg+MBg2r5YpH+QTcJMloHluArYO0BGkMCTjsfs7nhWWh5+HJcwf4RlYi5FfV20OrD6BJDT3Dt4haWczu62m/gckrW1mT9RtkJndIifKXCvsetJS5Ku9HbcBr+APJvPhtCIbZb2JZva58PaEENu1BHBLhd4bJe1qZjfVaMMywBOSHqZ+PcQm47bJdUaYo75E8HInxrQV0LeY17y7J/W5kKQ3ov8Qg8MjGkPSghRMwCmZp/D6ZVeFz9/Fy4ZUPimHm9rKdF9OK1zOCYGdSwC3mNm7JXIn4YGolRNwmNQ3AGpPwEkAqEKgtLzEya1m1sOjImm6pcgG5dmE0yxDQJj6fklSE3CqPYNmUlUBG7uZ5bE6N9X9M3z56jdh1354cHhdQ7lK/0p4luVWuEH0Bzyx4MUc2ZG4d3BL3OB4Fs/SKgogTjJE38G9YaUZe3LusXG4p+ydlHwp10/wrq1Nd6/KrzIyLY1bSWNw+odn6Ep6sLxrvymanB91BcN3g5UnjTQZt42uM0n340He00mFHFgBrYE8Pu5Ieo7zdnhlI9qEaDhFNEbNCfhD+M3jbWA5/Anuu2b2rwrdg3kCftjMPhZivr6B39geNrMeNeXmxQlY0s0ENnYzW1+etTilyFhsQf+eOC2BgHvM7HcFcksDJ9BlBN2LE1rmZleGY27HY7ySEjajcGNopxzZoebB8HW9g40gz/D7Dj2vhUKqCTnNwPb4uL0Jzx77g5ntnZFrddw+BXy07MGlLyDplOwYytuX+b72uA3yta6zINsjA7Wi/dOAC/Dl0jnhBGYW69UNJNgAqDQct8GzAcfjSz6v4DfB/wWuKZA9DC8H8QKwVU39TwELDIB+nlJnX+b7Q/A04m1xJuq/AV8rkd8T55U6E/hche7JDds/DS+78jG8ZM3GwMb9fE4fCa9TUvumtlH/cjiR4WeAZUvkbseX5lYP27HAHRW6e7SzqO3hev85Ybm5RruvwQOzh9Ts550tnJvp+JLStNS5Glcg28q4vbbsnLfhv10R9+Btm2wFcj3GCf5AUqa76bhdHq8/uBuwfIXuI/CElA8BSyVbifykTp3DuLVvizFOEU2xN7A+fvM7KCy//DIrFJ7QX8YJJFcCLpZ0j5kdWaH/Mby8SFmGWcuQtCJdDM3AnLiCLHYCsk+pu+TsmwMzS87DPUDu02oG9+NPlR/g3DFluEzO0n0j3ZcOi7LZZpvZ+QXf9RdaYWOvhYbB9kuZ2ZjU55Mk7VHxEzPlzNiJh3B/PL4lD00Y5ME9DAeFNl8NXGJmZaWEnpRn6Y2jOsMvwdvmnF6zJQ3Dx1eeJ7TVcXsyMEXSY9SPLaoFOeHqfsATdM9wTWfzJlQZa6gnVcb9ZfqbjFs5DcpxeHHg5Do70cwuLjjkXfy6PIaUB73kd8ZJ+gaeIFNnnEf0B/rbcovb4Nro8hpMwjONBDyeI7dH5vNQPHaiSv8meHX5W+kqS3JDm9p+Cs45dRN+0xmX1Y17aabjGVSPprZngV9X6P8psGTq83DgpALZQ/An+kvwYrHPAQeX6D4MeC3IPRu2GSXyJ+A3klpPun107WyE8z29Fl7/BKzXJt3TSHk88EzPaQWypwGfxz0wQ4B9gR9X6F8lXIv/hxsdvwdWqdGu4TiFxfs1ZJfAy8H8Bb/ZHwTMnyM3Nme7uESv8OLUSwb9fwamAGNzZPfIfK47bh/Hg5h3ALZLtjb9t08BC9Y4d6vhhu2qqa3ymm84bp8Clk59Xhonxy3S/Qxe97JuX5/N2QrHedz6Z+v3BsRt8GxNJuAgvzVwUHi/DF5Gpeo3BvMEPCVnX+4S27w4AeMxcUfiS2XX4VxHC7VJ9/TM5yHZfanvZuFevtlh+yDsmwW8XnDMpcDw1OelKDdWtgPOC+f9KmCvivYvjWdCTsQNtP3wYPS723R+JqXer0aJwdriuJ3QwevmZmCxmrKbA4unPi+Ok+qWHTMlZ1/RuB1PKpQA590qXOYN/+UinTo3ceufLS7VRdSGmZmkDczsNeACeUXxYZZTvy0Eo26CL1uMxSeYy/GA3DLMNLOzK2RaxQxgfgoKokIXV5Gks4B/WAjslbS4pM3M7KES/UPlnFLvhGMWBhYskH0Rv1EnmIV7GorwOO4FqwUzW72ubB/iV8Dr+BM++HLXZcA+bdB9i6Rb6R5sn1uQ18wWb0H/emb2akrHPyRtmCeoegzyafnr8CzVy/CyLgl1wZWSJqbkjjInMj2H/HI9ZRmWD0ra1MweMbPnStrS6ridJOlk3FBILzG1TG6a6uebwFR5sdy07rz+no97NhO8kbMviybj9iXgIUnXh7Z9FnhYoTiy9WR7fz+0/a4abUfSInjg/ypm9tVAIbGmmd1Y0v6IPkY0nCKaotYEDHwO2BCYDGBmf5VU54Y1mCfgy4HxksaG3zsY91TkYV6cgNe07rXL7gpZRL2GmX1P0l74DV7Az60822k9emYclsUIDZE0PDGe5HUSi+bP9a0mE3XAb3EqjdclHSsvMH2SmU02s01Scgm30MSeKiqxA3CopOfxa7mIwqDVcZsYkZun9hm9IzdN+jkJnw/S6GE4BsjM5nxnHtdVdZ9rMm6fCVuC68Nr0Tn6fdjqYize34Qs9kW83E00nAYQouEU0RR1J+B3g4fK1/g8NbsOBu0EHLwB0+ki7xxjZkWlPObFCXiKpM3N7EEASZtRUeOuCczs2hDcPF/Qv5TlBNWqtZIlp+MlY64JsvvipVLy0ISJGuBYM7tK0tY4CeNpuJG+WaZ/48Jr0U29DLvUlGtp3FoHyE2TfkoabWZnpb+TNLrgsBmSDsfPH3ic34wC2eR3ao9bMyst65Qj3/S/WsPM9pO0fzj+Lak7BX1E/yPyOEU0gmpWB5d0JPBhPDvtZPwp7gozO6fjjSxA0QSc3Rf2X4dnaKUn4B3MbI9Ot7MdkDTRzDZRRbX6Pm7TH/EloBfCrlVwL8oH1CBwrNB9KM76/FbQlxj0eZljT1jzkiXICTs/HnSPtwLm7pAZ9yTwBVJM1GaWe7NXFwHjyXhc1hXp/y0lN45iQx9rTwZbo3EraZSZXZ54SnPaVFaouG6benAh5Z2fsH9ZvGzTx/FzNR74tpXXgewYJH0GGENXJm8VuWlSqPw+82LnawC/MbOP9VWbI6oRPU4RjZA1kEowAueneR2/WR4H7Fgk3BcTMHAgkDWSvpyzDzz4/Wyc4yeZgL9aplxOjHcKsCw+QZZOkk3QdALGvR4L05X6vwYlsV19hE91UPeRwDpmNrOGbOOSJQBBvs4xTYsIvyTpQnx8nCJn5s8r43FaeN0T5xK6PHzeH8+2bAcajVucUBaKPaUtI3hdvgCsLintKR5GARVEMJA+3/B3OjZugf/C/6/paQ92CY7HS9CsLOnX+NLzl9vQjog2InqcIjqCgqfER4u8CpIONbMLQ3BqDzR1kWd0JxPw1jhLdIJhON9R2Y2hye88jQf3FtW56q3u2hOwpJ1wo29t4DbCBGxmd7e7bQMBIVFhTzOrDKBXiyVLGrSlKRP1IrhROd3M/ixn7/6oFdSuk/MqbVu1r8W2Nxq34fuhwOFmdmZvfz+jd1WcoPRk4Aepr2bhpJY9CidLWggval13mbTT4/Yu4BNm9kGlcNcxS+OhCgIerPkwENGHiB6niLZCXUR0I9WTiK4wniUYTUPxdPC2TsA4J87LeGr16an9s3COph5oZQIGXunE5BvwF+Cxmk+tmNntkibTNQGPnssn4KPxGKSHqA6evxj4IpmSJW1EUkT4WLqKCB9XJByMvetSn1+mvCjwCEkjzQvAIml13FPUMlodt6G970vaHWfAbxuCd/t5YAs50e6m4as/5hlNAU0K9iaoPW7lpYzOB5Yzs3VDksHuZnZSwSFHATdJmkD367LMg74izp81H7CtpKrEhYg+RvQ4RbQVkpbACeR6PCXmBermHH9XJwJNU/rTE/DDRbEPTeNUwjFn4Usov6eC0bnpBCxpU3yprvYE3ELm2KCFpIfxwruVtfwk3WmDuGiqpE/hJV2SoOfVgK8Weahq6uztuP0JzoF2JZ40AvQuGzalex98mfJu/CFgG5zmoQcrvBoU7E0d02TcTsD5xy5MxQ4+ZmbrFui+DfgXPa/LXA96UeJCxQNbRB8jGk4RAwqDfAIem7M7d9KLE3B7Iel+M9uyWhIknYeTuDYpWdKkLT8FTjXnOyN4n75rZse2Q3/QuSDO/QTwpAUOovDdTmZ2e7t+q2Z77srZbe0wUOWUFTslDzmSRuCkkz0SHZouk4ZjmozbR8xs00zSxVQz26BA90TrTilRilYTFyL6FnGpLmKgIbn5nZja11s6ggTHAptmJ2A8GDaL98Lra5LWxSfg1cqUm9lBDdqyiJk9rO6ZxkXLD+DM5Ts30L/5PDYB3yXpq/Q0hvK8JQsHmfT5rKIjaIJdzOyHqTa8KmlX/PprC4KhVMSBdQrOzt5n6KSXGC9+nPYM/5384HnoWib9EV3LpD8qU95w3M4MiRZJ0sXelC+r3iFp5wbewJYSFyL6FtFwihhQGMwTsKSV8DIZW+ET6x/w2KIXc8TjBNxefCG8Hk33lP0enoaGN8pW0ISJuhPoc96fsAT+U2AFM9tFTt2whZld1Ab1eazwN+UJWlfB3gnUK7TddNwehi+TriXpJbykzgEl6g8DjpL0Dv4wVpWxdyk+djuSuBDRHsSluogBhU5OwJJ+hi9fpSfgR83s+73VHfTfDlyBB6gCjAIOMLOdcmRH4hPwlsCrhAnYCugeJM3CU79rTcCdzhwbaJC0L13s2z/CGd7H5C3xNrxRttKWo4DdcRLShIn6BjM7tR36a/x+j8y4PvjNm/H+HmNm68vJYqeY2UfbpH9PPCtWwD1WwAofMtJOoOu/vRe/DnLpC8IxTcbt0BAMvyj+IDYrK9MbhAy/79BzSb4uDUxEHyAaThEDCoN8Au4R61AU/xAn4PYiFYu2NW54nw780Mw2y5GtfaPsRXt2oYuJ+jYrZpBvO/rJcGoU+9OC/uWAj+FjsSyp43bgHro4rg4AtrcSypGG4/YFnGfpSuBOq7iBypnmL8aN+soMzsGeuDCvoGiZIiKiv7CMmV1FuNmbpx2/30b99wF34YSWZWnWvwX+BuwF7A3MxCfLMsyUNErS0LCNooCoD3hW0s9xuoB/VTVa0jWSdpVUd8y+YGY3mNmzZvZ8stU8djAiuUY+DVxgZtfjBWrzMMLMxprZ7LBdQi/T+bMws5vN7Egz+25fGk0Bz/Xx7wG8ER42kqXnzYF/tkNx8CY+jI/DffEaj3sXiC9lZmPCdf+seZbqkhU/0WTcronHRR6Gj+Fzg7FehAtw4+3Pkv5T0lolsgBPSrpC0v6S9ky2imMi+hjR4xQxoCDpbtxYud285MDmwClmtl0bdO8L/Ix6WXWTzGzjzL7SDBlJqwDnAlvgN5D7cWLAF3JkFwZ2w1mON8JryP3WzP5QoHtH4CDc0LoauMTMnixpS0czxwYaJN2IF07eEdgYL73ysOVnXt0BXELXku3+wEFm9ok2taUjTNRVN9D+/G/lhYnPwXnPHscN0b3NLJcnraHuJll1p+G1Ka8Ku/bGGeVziXXDMbXHbea44XjVgQPMbGiF7BL4dXYMzsn2C+ByM3svI1c7wy+i/xANp4gBhUE+AV+K18V6NXxeCjitatKLE3DvoQbs263eKBu0pSNM1AX/aYJ+/W/lhLHfxIknZwEPAOeY2dtt0D09vVQfvK7T8pbvU7GAybLYELpoTXKN16bjVtJ2eHzkLsAjwJVmdm1J+5fGl4O/CPwV+DUeLvBRM9u+pOsRAxTRcIoYUBjkE/Cc+I6yfanv4gTcD2jVwG2g/z4z26odugYLJF2F17f7ddi1PzDczPZpg+68pI7pZnZUb3UH/bXHraRngan4A9UNZvZGViYjfx3Ot3UZ7iV+OfXdHA+2pKPM7FRJ55BTyNnyGfAj+gmRjiBioOFX+AT80/B5f3zS6fUETH5a8815gmbWStHSIZKGZ27IuWMsMwF/r+EEvFtqAr5S0sSUXJyAq7Fe8h+Bcz1JyjVuW8RESVdSg4m6VUj6ND3LAZ1YfETHsWbGc3tX8PD2Gmb2PUl74YkaAn5uBUkdAGrOmF973ALrm9nrDZr/W7qyPY8NHvWTzGxyZtk/8U5O7KkiYqAhGk4RAw2DeQI+Ha+Xdg1utOwL/KRANk7A/YcmN8pWMAx4kw4RbEq6AFgE2AH4Jb6M/HA7dPcCUyRtbmYPAkjajIoad01gZteGjLn5gv6lLIfcVAWM+ZSf+ybj9l1Jh1G/huWxZnZVCCD/JF654HygW7anmY0Lrz1KBEUMPMSluogBBUmX4FlR6Qn4QDP7Rht/YxjdjaHaE3CNeKW1cZZzAeOtgIBSDYsIq3u6/cn4BJybbh9RDklfwokyu90ozeyy0gMHCFLXQvK6GHCdNWOWb3eb/ohnnCVxYqvgRvwH9JI/TNKheCWBt4K+JNi+B8GlWixZ0mDcNqphqa7STSfjy4tXFCwNjiPHQ5zAzHZv2qeIziF6nCIGGjYDviTnS4EwAUuaTocmYPIZhlsqWRIm3Dps3U2ruKfT7c83s+slnZAVihNwNczsV2F5M7lR7ll0o2wF6jDBJn79ArwpaQU8dX71NuluFZ/qoO4j8cSMmTVkW2LMbzBu/83M9pH0WTO7VNIVQBndxEuSLsSzPU+R1xjMoxQ5LbzuiRccTnio9qd/6CUiShANp4iBhkE9ATdAnID7EQ1ulK1gLE6wmcTljQr72kWweaOkJXFqjcm4cfbL0iM6DOssR9gz+NJnHXS6ZEnTGpb74nPaaWb2Wsj2/F5WyMwmAEgaY2bbpr4aJy9YHDGAEJfqIuYZSLoF9y5UTsLqcMkSNazi3iTdPsjfk5mAc/dFtB9qwETdov50HbwF8aXet5N9cxtC4P5Y4CG6B9v3SHRQhxnzJR0CXAt8FOcCWww4zswuaJP+PwKfNrMZ4fPqwE1m9pF26I9oD6LHKWJewtF4EGjlBIyXSfgimQm4jUiKCB9LVxHh44qEg7F3Xerzy5QXBR4haWRmAm4rO3ZEIWbK2afTBJuFpXpawAM4aSrBWHpH0uRk31yIC4E7qTcWXzCzGzrVEOsqInwPNYsIN8QRwN2SZoTPqwFf7cDvRPQC0XCKmJcQJ+CIvsDBOMHmmXQRbPaaI0rS8sCKwMLBC6Pw1TA8y25uxWwz+05N2SfDsndHGPMl/RQ41cxeC5+HA981s2Pbod/MbpH0YZx6BODJtCdR0k5mdns7fiuidcSluoh5BpLuN7Mta8p2tGRJpyfgoHNB4gQ810DSgcCXgU1wwtTEcHoduLSdPFEDCZJ+AjxPz7GYlw3bUcb8goy4Piuq3Je/FVGMaDhFzDOIE3D//Na8Bjkz+eiMUXx6G6+dvayEYX5ug5wsNsGcG1ZRPGCH2/IosGkqxmxhYKKZrdNHv99j3ojoe8Sluoh5CV8Ir0fTPWW/xwRsZgd1uC1DM0G+CwMLdvg301C1SESLWC8xmgDM7FW1l5l8Y0njO+mtHGD4Pl3krz/CY7nG5An2ARXE5cD48GBl+BJsX5JWRk/HAEBeOnNExNyK7+OM3avjWTrTcNblHpC0kqTfSfqbpFckXRsm5XYhmYC/Iulg4HbiBDy3YEgwZoCOMJPvkjXMgF3bqH+g4dhgNG2NUzpcgrNv52EsnmyxAh4PNi7sawvM7FScVfwjOHntmLAvYh5C9DhFzEtIlz/YCS+10KP8QUBHuXjM68lNBz6Be3/GmFkZj1PE4EGTEh6toL+9lX2NNPnrBUXkrwEjzCxtKF0i6dvtbIyZ3UxBjcs+wHP99LsRKUTDKWJeQpyAu/BcP/3uXI9OM5PT/8tFfY265K/QYSoISXsCpwDL4v9twu82rA16C5EE/ptZqVxE3yAGh0fMM5B0I/ASPgFvjJeueNi6FxVOZO/AlwTSE/BBZvaJNrWlXyfgiMENSbvQ5a28bW72VjYhf5W0Ck4FsQVdVBCHm9kLWdkW2/I0sJuZlZVHakVv2XJi25JSItqDaDhFzDOIE3CcgCPmboSMxm+HuK8kvuy0NmY03mdmW7VDV8TgRTScIiJyECfgiIEKSZvjmWMfARYAhgJv9NZbOTeggOajbSn8ks7Ca0D+ng7wu4Xf+DQeeL5QSv+J7dIf0XvEGKeIiHyslxhN4FxPbU4pnyjpSuIEHNEc5wKfB67GyTC/BPxbv7Zo4GCIpOGZB5523ueG4QWHd07tM1LlkHoDSRfgLPA74IWb9wYebofuiPYhGk4REfmIE3DEgIWZPS1pqJm9D4yVdH9/t2mAoKMZjX3A77alma0n6VEz+7Gk02nTnBDRPkTDKSIiH3ECjhioeFPSAsBUSafixZ4X7ec2DQh0OqOxDwg23wqvb0paAc8IXL1NuiPahEiAGRGRAzP7FbAX8Arwf/gEfFm79PcBwWZ2An6POAHPLfgiPnd/E3gDWBm/ViMAM3vCzM41s3PaTAMBHSbYBG6UtCTwM2AyThvy2zbqj2gDYnB4REQ/QNLtOMFmYoyNAg4ws7YQbIbSFOfgKev/jT8d/9LMftQO/RH9A0lD8YK+o/q7LfMiJE01sw2q9vVCf5rYdEE8PvHtdIHuiP5H9DhFRPQPRpjZWDObHbZLgBFt1H+qmb0WisGuCqwFnNRG/RH9gBDTNCIs1UX0PWZKGiVpaNhG0UaCTeCB5I2ZvWNm/0zvixgYiDFOERH9g44yHOOT7UbgEzDwjqTJyb6IQY3ngPsk3YAv1QFgZmf0W4vmHRyMZzWeSRe/W68pSiQtjy/9LRyyd5Mi3MPwJI+IAYRoOEVE9A/iBBzRCJIuM7MvAvvh180QYPH+bdW8hUCAu3sHVH8S+DKwEp6Ykozb14EfduD3InqBGOMUETEXQdKB+AS8CfAI3SfgS2PJlcELSU8Au+ABydtnvzezf/R1m+Y1BGLc0Wb2Wvg8HDi9jcS4e4Xl9YgBjOhxiojoB3RqAjazS4FL4wQ8V+IC4BY8O3Jiar9wr+XI/mjUPIb1kjELYGavtpkYd2NJ4zPzwnfN7Ng2/kZELxGDwyMi+gc9JmCg3RPwkskHScMlxeDwQQwzO9vMPgKMNbORqW11M4tGU99gSDBmgI4Q4+6SMy/s2kb9EW1ANJwiIvoHcQKOaAlm9vX+bsM8jIQYd4ykE/HYxFPbqH9ooCEAQNLCwIIl8hH9gLhUFxHRP+goMzlhAk5xwsQJOCKil+g0MzlwOTBe0lh8XjgYuLSN+iPagBgcHhHRT5C0Nl0T8Pg2l4Y4Cs/+SU/AN5hZO5+OIyIi2gxJu+DEtQJuM7Nb+7lJERlEwykiYi5FnIAjIiIi2o9oOEVERERERAwASNocL5X0EWABYCjwhpkN69eGRXRDDA6PiJgLIWlzSY9I+pekdyW9L+n1/m5XREREKc7Fqwj8GVgYOAQ3pCIGEKLhFBExdyJOwBERgxBm9jQw1MzeN7OxwA793aaI7ohZdRERcynM7GlJQ0Nh2LGS7u/vNkVERJTizVDAeaqkU4GXgUX7uU0RGUSPU0TE3IluE7CkI4gTcETEQMcX8fvyN/ECzisDe/VriyJ6IAaHR0TMhZC0KvAKHmB6BLAEcF5YBoiIiBhgkDQUryc5qr/bElGOaDhFRMxliBNwRMTghKRbgd3M7N3+bktEMWKMU0TEXAYze1/SCEkLxAk4ImJQ4TngPkk34Et1AJjZGf3WoogeiIZTRMTcieeIE3BExKCApMvM7IvAfsCZeJzT4v3bqogiRMMpImIuQpyAIyIGJTYOcYkvEGlDBjyi4RQRMXchTsAREYMPFwC3AKsDE1P7hdeaHNkfjYrIRwwOj4iYiyDpcODr+AT81/RXgJlZnIAjIgYoJJ1vZl/v73ZElCMaThERcyHiBBwRERHRGUTDKSIiIiIiIiKiJiJzeERERERERERETUTDKSIiIiIiIiKiJqLhFBERERERERFRE9FwioiIiIiIiIioif8HSGu60UYzuUEAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "correlation_matrix = X.corr()\n", "fig, im = correlation_heat_map(correlation_matrix = correlation_matrix)\n" ] } ], "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 5 }