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@JustGlowing
Last active April 3, 2023 23:03
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Multiple Regression with Decision Trees
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=2, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"from sklearn.tree import DecisionTreeRegressor\n",
"import numpy as np\n",
"\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"bikes = pd.read_csv('bikes.csv')\n",
"regressor = DecisionTreeRegressor(max_depth=2)\n",
"regressor.fit(bikes[['temperature', 'humidity']], bikes['count'])"
]
},
{
"cell_type": "raw",
"metadata": {
"collapsed": true
},
"source": [
"from sklearn.tree import export_graphviz\n",
"export_graphviz(regressor, out_file='tree_multi.dot', feature_names=['temperature','humidity'])"
]
},
{
"cell_type": "raw",
"metadata": {
"collapsed": true
},
"source": [
"!dot -Tpng tree.dot > tree.png # to convert the tree in a png image"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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qq3bLLbc4wkxSEcjwlltuaXfccYc7DusrKZFJlUySDcry+6LQn3nmmS4d8nvvvWc9e/Y0\n3BsQ3BdIkUx2PzL6ZQonxzlYe+MfLL41yfnnn++uDTmOC+3t2LGj20y4NRJ2eD9oQs0RAxhcJEJA\nCAiBckdA0SfK/Q6rfUJACNhSSy3lEoTgCgAB7Ny5cyrxxFdffeWysZFR7dNPPzUy2XnBlWDxxRd3\n/re4HOy9995uF5nXrrvuOn+Ys7qS1Q7p0aOH3Xzzzda3b9/UfqzPJJogPvELL7zgtj/33HP2+++/\n28Ybb2yXXHKJffnlly4rXsuWLVPnRb/gAlEXoU1Ye0mzHJcHH3zQuVH4OpE1j3ZsuummzsJMsg2I\n8qKLLho/Vb+FgBAQAmWHgEhx2d1SNUgICIE4AsQuxopLaue77rrLcCPAuovVl8VkWHYhw34hWrrz\no9soz6d+jm733+PuE2SA45xDDjnEH+K+47NLnSCtkObTTz/dkVRvuU0dHH7BleH111+PbnLfWRQH\nec8knIfPMK4SUXnggQeMVM+4TjRr1sztImkJ+HzxxReOsIMR6Zvj2emi5ei7EBACQqBcEBApLpc7\nqXYIgSIjAHHKRhSLWT38h+fMmWN9+vRxn7Zt2zo3ihkzZjjL6LbbbutcJaZPn+58jmtbVxaoIX/+\n+aeNGjXKsLhGBZ9lCDCuFvjrIixkw28X94z999/ffQYNGuR+pyPFJ5xwgnl/52jZSy+9dPRnle+Q\n6ClTpjiiHd0xbNgw5yMNIU6XjY9sfkSkuPLKKw0f6aSK1zeR9qTeIdVLCJQWAiLFpXW/VFshkFgE\nsET++uuviazfb7/95hbXQQAXW2wxa9GiheEfjPvC0KFD3eI3iBVuFoQpq62wWA5LMxZhXCt8NAdf\nDhZYrMFcC//hmTNnGmT25Zdfdov38NtdaaWVnDUZS206qUtqaOoB0cYFIioXXnihG8C0atUqtXn4\n8OHWpUsXO/744w3XDtxKzj33XLeIMHVQwr54fYtbwRNWTVVHCAiBEkFgvnCkHZRIXVVNISAEEozA\ncccd51wUWMyWVJk9e7YjvnGSiD8vpDO+PZd2TJw40a6//nq79957naV4ySWXzHoai9b+/vtvix7n\nQ6VFt2UtpIA7sahTR0h60uXqq682Fk1yXyVCQAgIgfoiIEtxfRHU+UJACDgEWDCG6wCuBPjPJlEy\nWVsJX1ZfYSEen5oES3VckkCGfZ2wlvMpBcHnGb2TCAEhIATygYBCsuUDRZUhBISAi/eLxTNfcXZL\nBVJ8hLEUSxoWASY5H3vsMad3DXtlXU0ICIFyRUCkuFzvrNolBBoYAZJiEEP3zjvvbOArF/dyWH5L\nwdWguCjl/+osEsTvea+99sp/4SpRCAiBikRApLgib7saLQQKgwDhzXChkI9nYfBVqf9DgEWLrVu3\ndosk/7dV34SAEBACdUdApLju2OlMISAEYggcddRRbgEZERYkQqBQCLCY85FHHnFZBAt1DZUrBIRA\n5SGg6BOVd8/VYiFQUARuvfVWI6EEvsWEJ5MIgXwiQCxowt+tttpqRuQPiRAQAkIgXwiIFOcLSZUj\nBIRACoFddtnFZYt77bXXXDze1A59EQL1RKBXr142evRomzp1qiPG9SxOpwsBISAEUgjIfSIFhb4I\nASGQLwRYbEf2tX333dfF7s1XuSqnshG46qqr7IYbbnAZ+rAUS4SAEBAC+URApDifaKosISAEHALL\nL7+8Pfzww4aleJ999nGZ4wSNEKgPAtddd52R6vrSSy9VxIn6AKlzhYAQyIiASHFGaLRDCAiB+iCw\nySabuDiypEBu3769S4Fcn/J0bmUiQDKY/v37GxkTzz///GoptCsTFbVaCAiBQiAgUlwIVFWmEBAC\nDoGtt97aJk+ebD/++KNtuummLhWyoBECuSLw4YcfGslRSOc8cuRIO+OMM3I9VccJASEgBGqNgEhx\nrSHTCUJACNQGgfXWW89eeeUVN+XdrVs3a9u2rU2aNKk2RejYCkPg888/tz59+rgUzvimT5kyxQ49\n9NAKQ0HNFQJCoKERUPSJhkZc1xMCFYwArhRY+yDFkGX8jbEEkglvueWWs4UXXriC0anMpv/77782\nZ84cmz59uiO/48ePtyeffNKaNWvm4hAfeeSRtsACC1QmOGq1EBACDYqASHGDwq2LCQEhAAJvvvmm\niyAwYcIEF7pNqAgBEFhyySWtQ4cO1r17d+vatastuOCCAkYICAEh0GAIiBQ3GNS6kBAQAukQICX0\nBx984PyOScyQRJkxY4YNGjTIdtttN9t7772TWMW0dfryyy/t5JNPth49eljnzp3THlPsjViBIcOr\nr766rbnmmjb//PLqK/Y90fWFQKUioGF4pd55tVsIJASBpk2bGp+kCou9+vbt67KojRgxwhZbbLGk\nVjVtvebNm2cDBgywbbbZxnr27Jn2GG0UAkJACAgBM5FiaYEQEAJCIAMCH3/8se20007Ogknc5VIj\nxDTrtNNOcwlUyATXqFEjZzXO0FxtFgJCQAhUNAIixRV9+9V4ISAEMiFABAQIMQu+Jk6caEsssUSm\nQxO//ayzznIZBo844gi3mBGfXYkQEAJCQAhURUCkuCoe+iUEhIAQsJkzZzpC3KRJE3v88cdtqaWW\nKnlULrjgAmcxJrQZUT6I/CERAkJACAiB/yGghXb/w0LfhIAQEAL29ddfW5s2bRxxJHQcoeLKSfCP\nvuGGG+z++++3Ll26lFPT1BYhIASEQL0QECmuF3w6WQgIgXJCgEgYJBchtfCzzz5rK6ywQjk1z7Ul\nCALDv5gMcePGjbOOHTuWXRvVICEgBIRAXRAQKa4LajpHCAiBskPghx9+sHbt2tlvv/3mCPHKK69c\ndm30DYIYH3744XbPPfcYCwjxnZYIASEgBCodAZHiStcAtV8ICAH76aefbOedd7bvvvvOnnvuOWve\nvHnZo0ImuYMPPtgeeught5CwdevWZd9mNVAICAEhkA0BkeJs6GifEBACZY/AL7/84rKokegClwkS\nSFSK/P3339atWze3mJAFhcQylggBISAEKhUBkeJKvfNqtxAQAs5VolOnTjZ9+nRHiNdZZ52KQ+Wv\nv/5ykSiwkD/11FO2xRZbVBwGarAQEAJCAAREiqUHQkAIVCQCv//+u+2+++729ttvG1EmNthgg4rE\ngUaTXrtr16726quv2jPPPGMbb7xxxWKhhgsBIVC5CIgUV+69V8uFQMUiIBJY/dZrkFAdE20RAkKg\nshAQKa6s+63WCoGKR0DuAplVgMgble5Okhkd7RECQqDcERApLvc7rPYJASGQQkALy1JQZPxSyQsP\nM4KiHUJACFQEAvNXRCvVSCEgBCoeAUKQkeL40UcfdbF5FWkhvUo0btzYYUTiEuIXf/HFF+kP1FYh\nIASEQJkhIEtxmd1QNUcICIHqCChZRXVMatpSSclMasJC+4WAEKgMBGQproz7rFYKgYpFwKc1vvvu\nu23s2LHK3pajJjRp0sSefPJJa9SokbVv396++eabHM/UYUJACAiB0kRApLg075tqLQSEQI4IHH/8\n8XbrrbfamDFjrGPHjjmepcNAoGnTpi52MQMLiDEZ/yRCQAgIgXJFQKS4XO+s2iUEhICdcsopdv31\n19vo0aOtS5cuQqQOCKy44oqOGBOyrUOHDvbjjz/WoRSdIgSEgBBIPgIixcm/R6qhEBACdUBg4MCB\nNnToULv99ttdxrY6FKFT/ovAKqusYk8//bThZ7zLLrvYnDlzhI0QEAJCoOwQECkuu1uqBgkBITB4\n8GC76KKL7JZbbrHu3bsLkDwgsNpqqzliPGvWLOvcubP9+uuveShVRQgBISAEkoOASHFy7oVqIgSE\nQB4QuPTSS+2cc85xbhM9evTIQ4kqwiPQokULR4w/+eQT22233Wzu3Ll+l/4LASEgBEoeAZHikr+F\naoAQEAIegWHDhln//v2N/z179vSb9T+PCKy77rrOx/i9996zPfbYw/744488lq6ihIAQEALFQ0Ck\nuHjY68pCQAjkEQEW1J1wwgl22WWXWd++ffNYsoqKI7DhhhvaE088YW+88YbtvffeNm/evPgh+i0E\nhIAQKDkERIpL7papwkJACMQRwHf4uOOOs/PPP99FnIjv1+/8I7DpppvaY489ZpMnT7b999/f/vrr\nr/xfRCUKASEgBBoQAZHiBgRblxICQiD/CIwaNcqOPvpoO/PMM42IE5KGQ2DLLbd0KaGfeuopO+ig\ng+yff/5puIvrSkJACAiBPCOgNM95BlTFCQEh0HAIkJCD6BInn3yyXXLJJQ13YV2pCgLPPvus7brr\nrrbXXnu5EHjzzy97SxWA9EMICIGSQECkuCRukyopBIRAHIFx48bZvvvua71797Yrr7wyvlu/GxgB\nUkKTIIVByogRI2y++eZr4BrockJACAiB+iGwYP1O19lCQAgIgYZHYOLEic6P9aijjhIhbnj4015x\n5513tgceeMD23HNPa9SokV133XVpj9NGISAEhEBSERApTuqdUb2EgBBIiwAWSSIe4MM6fPjwtMdo\nY3EQIKnHvffe6yz4EGNZ8ItzH3RVISAE6oaASHHdcNNZQkAIFAEBfFe7du3q0jbffPPNmqIvwj2o\n6ZLcn7vuusu5UUCM5etdE2LaLwSEQFIQEClOyp1QPYSAEMiKwEsvvWS77767y6Q2cuRI02KurHAV\nded+++3nYhcfeuihzpXivPPOK2p9dHEhIASEQC4IiBTngpKOEQJCoKgIvPrqq9apUydr3769EYJt\ngQUWKGp9dPGaEcC95c8//zT8vrEYK1xezZjpCCEgBIqLgOLmFBd/XV0ICIH/IkDijTZt2ticOXOq\nYPLWW29Zx44dbfvtt3f+qgsttFCV/fqRXASOOOII5/dNDOnLL7+8WkWxILdq1Urxjashow1CQAgU\nAwGFZCsG6rqmEBACVRCACDdr1szmzp1rm2yyiT3zzDO2zDLL2Lvvvmtt27Z12yZMmGCLLLJIlfP0\nozQQGDZsmEvBfdVVV6VScA8YMCDlb3zPPfe4aCKl0RrVUggIgXJFQO4T5Xpn1S4hUEIIXH/99W6q\nnSpDhHfYYQcX65bwXhtssIE99NBDIsQldD/jVe3Xr5+7v/zHleL99983iDKCb/gFF1wgUhwHTb+F\ngBBocARkKW5wyHVBISAEogjgd7ryyivb999/n9q84IILGm4SEOJJkybZEksskdqnL6WLAO4S5557\nrgVB4D7RlhBqD59xiRAQAkKgWAjIp7hYyOu6QkAIOARuv/12+/HHH6ug8ffff9tff/1l3333XTUf\n4yoH6kfJIPDvv//aZ599lpYQs3ASa7FECAgBIVBMBGQpLib6urYQqHAEIEotWrSwzz//vJrlEGiw\nGONr/Pzzz1vz5s0rHK3Sbf4///xjPXr0sNGjRxv3PJO88cYbttlmm2Xare1CQAgIgYIiIEtxQeFV\n4UJACGRDYOzYsSnrYbrjsBjPmjXLtt12W/viiy/SHaJtCUcAV4lu3brVSIgZAF100UUJb42qJwSE\nQDkjIFJczndXbRMCCUeAMGy5JOH45ptvbOrUqQlvjaqXDoFff/3VWfrT7YtuYwB033332SeffBLd\nrO9CQAgIgQZDQKS4waDWhYSAEIgiQMrmN998M+N0Ogvt8DUlK9r06dNdNrvo+fpeGgg0btzYPv30\nUxeneNlll82aeAVrcbp4xqXRUtVSCAiBUkdAPsWlfgdVfyFQogjssssuLh4xFsKoQIbxO8UH9ayz\nzrLVV189ulvfSxiB33//3W644QZjhoDFlen8ixdeeGGbOXOmNW3atIRbqqoLASFQigjIUlyKd011\nFgIljgCuEE888YRFCXHcMjxixAgR4hK/z/HqL7rooi6Jx4wZM2zIkCG23HLLVXOfgShfffXV8VP1\nWwgIASFQcARkKS44xLqAEBACcQQOPPBAGzNmjCPF3jJ8+OGH28CBA0WE42CV8e8//vgjZTn+4Ycf\nUpZjXC6++uorW3zxxcu49WqaEBACSUNAluKk3RHVRwiUOQKEXyOtL1ZifIZxk/j444/tpptuEiEu\n83sfbx5pu8lyh+X4iiuucJZjjvnll1/s5ptvjh+u30JACAiBgiIgS3FB4VXhpY7Aq6++auPHj7eX\nXnrJ3nvvPcOahXVLUn4IQNCaNGnisugRAq5Lly625ZZbll9DM7Ro3rx59thjj9nEiRPt9ddfdwOV\nOXPmVHFxyXCqNhcZAXQXV5T111/ftt9+e9tjjz0U77nI90SXL00ERIpL876p1gVEAJ/GO++8062C\nf/vtt2211VaznXbayTbaaCO3+IcXkKTuCJCpbu7cubbUUkvVvZACnMlgZ/bs2cY9f+aZZ1xCkZYt\nW9opp5xiBx98cDXf1wJUoShF/vTTT86/lwVwZBBs1aqViwu97rrr2jLLLOMSqDR0xSDo3I8ll1yy\noS9dktdjAeO3337rdPfpp592CxVJgnLqqae6GNHzzTdfSbZLlRYCDY2ASHFDI67rJRqBl19+2Y4+\n+mj74IMP7KCDDrLevXtXlLUw0TengSvHLMG1115ro0aNsvXWW8+5d2yzzTYNXIvCXY6kGris9O/f\n37mx9O3b14466ihbeeWVC3dRldwgCDCzdc0119jdd99tm2yyiXNF2XzzzRvk2rqIEChlBORTXMp3\nT3XPGwIQhPPOO89NPa600kr27rvv2m233SZCnDeES68gXCfQAXQBnWBaGh1BV0pdcAPabbfd7Ljj\njnODQBJmnHPOOSLEpX5j/1t/3H8YzDHrgbV9q622sksvvbRMWqdmCIHCISBLceGwVcklggBTtViF\nH3roIbfYB+uwRAjEEcBqfNJJJzl/TQgH8XRLUUikQYzoP//80+69914rJ+t3Kd6PQteZQRyLGAcM\nGGDdu3e3W265pSguMYVup8oXAvlAQKQ4HyiqjJJFAP/WPffc0yZPnuxIcZs2bUq2Lap44RF47rnn\nHCnGajx27FgjnFwpyWeffWY77LCDLb/88vboo4+6/6VUf9W17ggQF3yvvfayTp06uegvRH6RCAEh\nUBUBkeKqeOhXhSFw2GGH2f33328sTqmkSAMVdpvz2lx8jVl4uc8++zj3irwWXsDCWFDHNPoSSyzh\nFhImbaFjAZuuov+LwAsvvOBmCYgJzsyHRAgIgaoIyKe4Kh76VUEIXH/99XbHHXe4KWQR4gq68fVs\nKrqC2wG6gw6Vihx66KEu6gch10SIS+Wu5beezBIQWWf48OFOf/NbukoTAqWPgCzFpX8P1YI6IIBf\nJeG2TjzxRBs8eHAdStAplY7AWWedZUOHDrV33nkn8UlHWDB45JFHGu4fuH5IKhsBfOPxLSb2erNm\nzSobDLVeCEQQECmOgKGvlYPA3nvvbR9++KG9+eabJbtgqnLuVjJbygJNYsESrg0XnKQK2eHWXHNN\nt5j0yiuvTGo1Va8GRIC4xhgFiFLBjIdECAiB/0dA7hPShIpDACL84IMP2iWXXCJCXHF3P38NJvoE\nOvTAAw+4wVX+Ss5vSVdddZXLSkfINYkQAIFFF13ULrjgArvrrrtcTHahIgSEwP8jIEuxNKHiEGAa\nmcVSU6dOrbi2q8H5R2DjjTd2izRHjBiR/8LrWeI///zjMjKSke/iiy+uZ2k6vZwQIFTb2muvbbvu\nuqsxcJIIASFgJkuxtKCiECAE25gxY1zmropquBpbMATIAnffffcZupU0efbZZ+3LL7/MWd+/+uqr\nojTh559/tt9++60o167Ui5L6GQMBWe9IbS8RAkJApFg6UGEIvPjii4aP5R577JFTy0eOHGmzZs3K\n6dgkHIT1p5QtguPHj7cuXbq41LS5ZOAi4UomP9lBgwa5hWXR+0LmNixj+AETju/XX39N7a7ttf2J\n6BKkDt1KmhCLeIMNNrC11lqrxqrhZwouhRKy6JFqGOt1XFjs6i3tF110kYuOwDGTJk1KFK6Qx8su\nu8zatm3rFleSDh55/fXXrXPnzrbGGmvYhhtumFEn3cH//fPHH39Yt27d7PHHH49udvGveQbwA6f/\nQYh2suOOO1b5HHjggVXO4wcuMrk8N/5EdHf27Nmu/n6b/guBikYgfIlKhEDFIBBmdgpWWGGFnNsb\nhjAKpkyZkvPxxT7w77//DkJ/waJVI4zEUOdrhwQjCAlc8NFHHwU//vhjEGZaC0IrVtry5s6dG4Qk\nIWjUqFHQr1+/Ksdwv1q1akUu5iD0Ha+yb4sttghGjx4dhNncglNPPTU49thj3f7aXLtKgf/9gU6h\nW0mT9u3bB0cccURO1QLTMCVwTsfW5aDQkh688soraU895ZRTgmHDhrl9YYKRYObMme77mWeeGYR+\n22nPqcvG+ugn1wvdUIIwAUYQxvsNwoFQEFq3XTXCqB5BmBwjAMNw4OX6mNBFK2MVQ3Id7L///sEq\nq6wS3H777anjbr755mDTTTcNwtmsIBywBeFAwu3jPzrqP7feemtA3xSVa665Jlh11VVzvt+cSz24\n52FowWhR+i4EKhYBuU9U9JCo8hqPpXCdddbJqeEhebI33njDrdrfZJNN3GIqrGnHHXecrb/++i4I\nPpZKhIx4WG4OOOAAW3HFFW3fffc1MkiRQheLT/jCT10T/87TTz/dlbH11lvbY489ltp39dVXO8se\n511++eWp7ZyD28d+++3nyibaAf6ALVq0sPAlasSeRUKiZ1igqC9WOYQkE59//rn7zh9CcpHilw/f\nWXTYoUMHZ2HO1L7UyWm+hETcLdihLZmstmlOq7aJEFFYzmjX0ksvbccff7xzS6h2YLiBhUIkXMGq\nyDRwVEhQERJj69q1a5V9YIArAddgkVzfvn1TUSNqc+3otfx3dArdSppQJ/DMVbDihkTU+SGHhNr+\n85//uFOffPJJlybYl0OsW3+v+U+IL2LgrrTSSnbuuefajTfe6KzO6CDPARK+Zd099WVgcQ1JnKvf\nuHHj/Gbj+1NPPWXTpk1z5VA++hySPqevWOW9cA/Rg2ySL/18++23jdkEojXw3DRu3NgWW2wxd+nW\nrVvbzjvv7PQyHCDZ/PPP7/qBTPU644wznEW5Xbt2qUNwvyHMH30A/cfiiy9uyyyzjNvP/3XXXTf1\nwarOsV4eeeQRe/jhh23gwIF+U07/eXaYRSBEpUQICAG5T0gHKgyBOXPm5Jy4oHv37i7kFgTgrbfe\nct9Zrc2LELLA9tNOO835kvKihoj179/fQiuXkT2MlzmRCVjUB8GFrCK87BdZZBF77bXXHBHt0aOH\nIwzTp093JA2C/cwzzzhiwDH+HK4NUWSqGQLKlO3HH3/ssqr16tXLHcfUKWVTX/YjoeXVEWD3I/xD\nXF2mgfm8/PLLrn64XNDeTO3z50b/00auBymnjQwibrrpptQhfGcqOf7p3bt36pjoF4jqF198kdpE\n/NQomU/t+O8XiAefdML2OFmGEEdjsq688spu6pjQarW9dvyaJMNAt5Im1IkBRq4CFtxPdDG0ZDoi\nyrmUE703TLl7/2P+E96QKX50i0VbM2bMcPodWs/twgsvdJeHFLMfYRDHQAT3DvQTUunl66+/dvcF\nMn/00UdbOBPg9LlPnz6OwHmXAq5Lqm3IeDrJt37iHgPhZQDJYBQSHMWEOlBXFl5CbEMrcLpqOTcR\nXLLOPvvsKvsZwIAzUSFwY+E+MDiIC4MG0ovvsssubhd90fnnn+98g+uSdhz9SKLuxtut30KgIRBY\nsCEuomsIgaQggCVswQVzV3uIlf/QBhal8LIbMGCAaxLWneeff95932ijjVLWWSxkWIw9CeM/gfK9\n9RZfPixBWIogZ5BYrD281HwyEay2WKJDVwBXPi9R4uIi+EVjfeZF/f3336f8nj0R9P/dwVn+kPLX\nkxYOy9Q+0hpHJZziNtq755572ksvveSsZtH9fIfQ8MlVIPxYJ/GdDKd0neUVS2K+BMIXvfceIyyJ\n9b025abzlc1X3etaTm31HQs8VkoEopprKmAIotd1CGPoYuDSSfvBW7z+WFyx2DNgQpo0aRI/xP32\nz56/Vwyo8AXHQow1OnQNSRtWsRD6CQmnPVhpeU4hryyyjPoEUzeeVyy2oauO8zuONoxBLgNP2o/e\n+cEp/yl/tdVWc/uxDJNohX7im2++sdBNyBXD/WSWKXSfcL9ZnAgGzCIxWGc/gw/+L7DAAtFLZ/zO\ncdRFIgSEgFnu7EBoCYEKRYCXjBcsYkwVQ3iRQw45xC2ugRhGJf5C4ne0nOixfA99aJ21rU2bNrb7\n7ru73ZTdtGnT+KHuN24aEGRe0ExZ+5cmO9Ndh5duLpKpffFzV199dUcGsAR26tTJsOJBpqKWqnvu\nuSf18o6eD7Fgij0utJXBAZZDXvDEAIak5Uuw8rHYywuYMzDhWnwKeW1/zVL6D9GP6lKuOhTV/Ux6\nD8ldfvnlc4IjWgdcY7hnuGRADOPPnS+wEPrJM4+F1+s4xD86M8K1eSb54G4yYcIE91z4OvEfC/t3\n333nkmbwG4s65JcFnwwIIafeZYK+gBkMyDLtQXjesSLzDCEMnDmHuiDod+jX7Mj2bWEWQ4kQEAK1\nQ0CkuHZ46egKQwDLDS8yL7yosPZ4fz5eWHUJxYUlByGRCNOmWJD5j68wVmhevLhbxKdnfT1wm4A0\nQoghkZ44QEIgG7hzYG1FsMYxHc7L9P333zcsppmkNu3bbrvtjA/+iEyZn3feeRYuXEv5jRLlgf1x\nyUZ0cXvAdxKigPULtwzk22+/dZZBfKajA4B42dl+Uy5+1GCATzikJWoBz3TtbGVWyj50CBcb9Azd\nxQ1iueWWq3PzmfqH4BESDIKMPqebFeD5CxeXVbmOtxajq+h/Jsm3fmI5x12IWRr8iXH9wMcf4Tkm\nyge6CSnFdQn3EySqu0So4OPl0EMPde4YDIDpR/hQFsSa9Qy03xNirMLMIkUt09wD7/dNmbik4H4F\nthIhIARqj4BIce0x0xkVhMBh4XSo9+NlKnnIkCFu2pTpYnwW+eD2UFvhJYgVCP9jLF749TENygsU\nSzEvQPxp8UVOtzAQ4szLlZeif2n6OrAQkPSt+BbzcmaKF7LKtCtT234q2h8f/Z+pfZks1pxLGKqh\nQ4faoEGDUgv+2A5x4FMbwT+UgQbY4I8NKUDwM2UgwrS5Jx5t27Z1U8sQXYgAAwqIFe4sJ598svPd\nhrwxzc4iJEgv97Bjx46uXAY7XMNLpmv7/ZX8nwFV8+bNHfGDGONCVB9SjFUUgsf9Rfcz6QnPAveM\nhacQSHQbtwuIMbqQi+RLPxkYcH0W/WE1hpD7BbToF3rFolqeW2ZydtttN1e9uO5mqjMD4TD6hFsY\n6wcIPI9e+M5gggGdRAgIgcIgoIx2hcFVpSYUgYMOOshZcoi4kKtgGcPy6qc1OY9tTFVmI4uZymfq\nMwyBlCIEkLW4QNiWXXbZjAvJOB7izCfdNDTWKsgLU80IU6wspqHMXKQ+7cul/EzHQCAg87VZHJap\nrEzbwQI/TXy5o1KfazN9jQvGqFGjokUW/Ts4MrBiYJQPYeqf5yDqIlGfcln8CMGsqTz85vE7ZkAX\nhnVz5NQvQq3P9etyLs8WA7Fof0A5zMDgXsHziC7UVdBPcPYuWnUtJ9fzINoMTuKuILmer+OEQDkh\nIEtxOd1NtaUgCPDCjr8A2VYXQhytYKbFRRyTS9kQXk96o+XyPf5Sxj80V0LM+floH+XUVhqCCIBF\nnBBTz4a4dm3xSNrx9bEOp2tLuvuQ7rio7uLHnquVOF1Z9d3GsxV/viiT2Y34rE1droV+ShfrgpzO\nEQL1R0CkuP4YqgQhUCsESAmczrpbq0J0sBCoUASIloIrh0QICAEhkG8ERIrzjajKEwI1IOD9BWs4\nTLuFgBBIgwB+uxIhIASEQCEQqO7MWIirqEwhIAQSgwD+kNHQZImpmCoiBOqBAAs0JUJACAiB+iAg\nUlwf9HSuEChBBJ599lkji14xhIVIhLEiWxnRI4YPH56qBov7yMxFZAJiH0cX/vCdBYqcR/Y+4ilL\nhIBHgEVu6aK0+P0N9Z/Qh+gvUWTiQvY9skZ6IQMgiWqiH1LFS4SAECgeAnKfKB72urIQqDgESDaw\nzz77uDiqEGRiGRNuizjNZNMj6x9xWDluyy23dPtatmzpwrCRjADXE9JnE6+YbH8SIZAUBJh9IboN\ncbCZjYkK8bYJoxiNaU66aMK7eSERieILezT0XwgUBwFZiouDu64qBBwChAEjlStxYIk/esMNN7jt\nxBQmvupaa63lEkyQ3AAhHi/WJOKgskKdLHJk94JY4mvp46byUmYb8Xohklhn40kQKA/ySexVrk1o\nJk80sdr269fPbacOPXv25PB6C3GSiTNLYhHaTDzlp556ypX79ttvu3BsRL4g/TRWYTJ+IcSopY5s\np+3+HLdTfxKFQCbdIY409xQd2HTTTVMxrb2uovPoKumRJ02a5LK0EZ0C3fNk8uCDD3bxttEFZg4e\ne+yxtG3nfMrhOmSgJMQZAukkPTlWZWKNE+otH4KlGr1kEWA8nCBxi3nGojMfXJOINiSU8R/q5pMC\n5aNOKkMICIHaIyBSXHvMdIYQyBsCZAnDEgphnTJliiOKFE4iDzLVMR0LaSZbHEK8ZI7r37+/S/xB\n8hAspyShwBpFTFoy4ZGSl4xY7dq1c+VAEAYOHOjKiP656667XHgpsmLdeeeddtpppzkCAjnm/Hff\nfde5Kvg0stFz+c6LnqQG8Q/JFWoSCAnpcLGYIZAXrkcSjVNOOcUliCAhQlxGjx7tEiXEt+t3MhDI\npDuQWJLJMMDD6o8bDOJ1lRTOZEfs0qWLi6t85plnukQYZHp88cUX3bHTpk1zAydiFPPs4Abkszm6\nA8I//D7hhBOMNONkh4Okcj0suSeeeKJL7sKzxTOVLpENz0Jcn/nNzEUmIQ40rhG4TkSF55VBIEk5\nsoWfGzdunMtiycBUIgSEQPEQkPtE8bDXlYWAs1qROpYQbaQcxr8Q4cXOdCsvdRYQkUHMC5Yu3A0Q\n/mMxbtasmfvNf1wQsKSRTpmMYAgZ7SDMEJCo4LJA2VwLwSJHRjisV/jtDho0yPn+4uObTo4++mjj\nU1vBQg3ZJ1sg1jyE7HMrrLCCqwtZ/kjSgKU4GvuVpCsQnBdeeKG2l9TxDYRAJt1Zaqml3EwGBJcB\nEe4zXtBVP/CCHDMgYyCH8B8y7Z8N9Ib43Az4IJpvvfWWI7G+LMpnYOj91fHvJV06hJjY4AwoGWyR\nETJdvGFcGhic5SrMzvAMMptB4g2eXazl/GdwiwUcUg25RziGWMReOJZj0HmJEBACxUXgf09mceuh\nqwuBikQACxMEFkvR3nvv7XwSeUFuv/32Luvd2WefbVOnTk1ZiuMg4WoQFX7zMo4LZPjXX391L+To\nPogvFlqfLID007htYF3DIk2GNupACtpnnnkmeqr7jjUu3cscq+C5555b7Xg2/PLLL7bnnnu6xXRR\n6/UFF1zgfIW3224744O1D0s02xGs4dQF1wk/CHA79CdRCGywwQZpdQf3gs0228y5MJAimXTd6SRX\nnfbn/vjjj/6r+49O45qDLnshSyLl4qIzcuRIY4YE9yDIdzxmOD7BEOi4QNzTZcLEGowbh3flIFsi\nvvI8FwwycYngg4sFad0h+VzXtxO3CerLMyMRAkKguAiIFBcXf129gRFgujQdaWzgaqQux8sR319I\nMC9Soi9gReOFCXHkf10jLdBOPrT59ttvd9ch61ZU2rRpY0xFe19GrNK8yLkmxIUpbFwZ8PXE+ga5\niAp1hsDGBQKRTkjr27VrVzvmmGOqWZghU7iAeKu0j1RBOVjjIOAQYqzJSROPc9LqVQx9z6Q7uE1c\ncsklTq9wX6jrc4hlFWEWBeurnzXx2KOPzHAwcPK6wsCS54pU53369HEfop9Qjzgpxuc57v9L2enS\nsbPdk16+IyQWgSDzzDDY9UJdcRXCPcMLadoHDx7sFpf6bQ39P6m629A46HpCAAREiqUHFYUAC7VY\n3JYUIbsd08YsQOJlj58jL3O2sXCucePGzr2hLgQCFwUIA5ZZyDCW1rgMGTLEWWJZdIR/Mp9HHnnE\n+TjjH+nrBcmIE2LKon58chX8TXGToJ3eT5qFfFihWRSIn6n3MV5ttdVcpArKZgETGLRq1Sp1KabH\n8T9NgmCF99b2JNTH1wF9p24NKfjHp9MdXHRwWSBVdNQlprZ1wwKMPmN1xRrLrAZWWC9YXdFrBl7o\nM37KLEjFMoyeQ5Rxm4D84r8eF8qG0DaEUE/8iJktKpagH+iJRAgIAbP5whdN9blWISMEyhQByB0L\ntepqfS0ELKy+h7hCFqLCinmmmGtDOv35EGJIGlPLEAN8KbMJhJyFSE2bNk0dhssF/pgNTfaoL5bm\nTNPrqQom6At+tCy0Qr+SJCwOa926tV1xxRUNWq1MuoNllE/cOptr5XAxuP76640BE2Q4k/XWl4f+\nQ4CjujR79mzDvzk+a+LPqbT/DADw7SfMoUQIVDoCij5R6RpQYe3feOONXUQHSGhShBd2nBBTN7bV\nhRBH2wVpqIkQczxuGlFCzDbObWhCzHUhO1ESw7YkC7pElBB0K2lCnXDRaWjJpDsskKsrIY62AZ2u\niRBzPGHP4rqEnosQ/z+aDBCwuBMBRyIEhED43hMIQqCSEPAr2EkQUc6Cq0MxyFA5Y5qpbV6XvG5l\nOq4Y24loQjQGFoOVg+BuhO+5JD8IPProo26AkM6NJD9XUClCoLQQkPtEad0v1TYPCEAUmD5Nt5I8\nD8WriApDgAWRkM6nn346cS3HfQAf9auuuqrawsbEVVYVanAE8GfGkj5+/PgGv7YuKASSiIAsxUm8\nK6pTQRFgAQ4vAaa8JUKgPgigQxMmTHCLuupTTqHOxX1g//33d6Q4HqO6UNdUuaWBAAteSZ5DfygR\nAkLg/xGQpViaUHEIsKiMBBgE6Sd5hUQI1BUBspURYguC4ePO1rWsQp1HNAj0/ZZbbnEJJgp1HZVb\nWggQuYUQiSRGSZfZr7Rao9oKgfwgIEtxfnBUKSWEAOTlsssuc3FvJ06cWEI1V1WThAC6Q+xkMgUm\nlRCDFyHKevbs6eJNE9FEIgTuv/9+N8OB7ooQSx+EwP8QkKX4f1joW4UhcNBBB7lkECxIU4a0Crv5\n9WwuiUWIAU08XrL+JV3weSbCAOmGH374YRGhpN+wAtbvs88+c1n19tlnH7vxxhsLeCUVLQRKDwGR\n4tK7Z6pxnhAglBZxXAlcT/KI+oY/y1O1VEzCEUBv2rVr55JikIGvVPTmlVdecTGLjzvuOBs6dGjC\nUVb1CoEACy/JYkk4u5dfftnFAy/EdVSmEChVBOQ+Uap3TvWuNwKQGbK34VdHumJSwEqEQDYE0BF0\nBZ1Bd0qFENOmrbbayqX7JhLF6aefnq2Z2leGCJDmumPHjq6fY3FoplTsZdh0NUkI5IyASHHOUOnA\nckSAVMpPPfWUSwVLrE5FpCjHu5yfNqEb6Ahpg9EZdKfU5IADDrDbbrvN+UGTLpnMh5LyR+D999+3\n7bff3kjWQejAhkpjXf7IqoXlhoBIcbndUbWn1giQDIAEB8Tr3GKLLeymm24yZT+vNYxlewK6gE6g\nGyRFQVdKOYEEZBhLIZbuVq1a2ZQpU8r23lV6w9Dda665xrmJLbvssk5311prrUqHRe0XAhkRECnO\nCI12VBICzZs3t8mTJ7tV+scee6ybaoY0iBxXkhZUbSv3Hh3A7QCdIILDCy+8YOhKqQvT6CwwXXnl\nlW277bYzFp2+9957pd4s1f+/CBCTety4cbbZZpvZSSedZCeccIJNmjTJVlppJWEkBIRAFgS00C4L\nONpVmQgQd3bgwIFulf4aa6xhrNImCx6xXps2beqshZWJTHm3+o8//nDTy8QcZoqZsFW4Suy22252\n4YUX2sYbb1yWAIwZM8bOPvtsI54xU+xdu3Z1RHnddde1pZde2hZccMGybHc5NQrd/fbbb+3tt992\nrj3o7owZM4xsi+eff35Jz2yU031SW5KPgEhx8u+RalgkBCAJJDwg+x3fJZWDALF9SW5wxBFHuDi/\n5d5yrOJPPPGE3Xnnnfboo4+6wUG5t7lc20fYPa+7a6+9drk2U+0SAgVBQKS4ILCq0HJDgFBGLFZh\nBTdWmVzltddes3vvvdeIDbrLLrvYUUcdleupRT9u+PDhrg6E8KoEwV8Yv8v111/fSI9cyfLFF1/Y\nxx9/bD/99JP9/fffZQMFIfSuu+46N9gtlUZR52uvvdaFUdtjjz2sU6dO1WariCThdRfrvkQICIG6\nISBSXDfcdJYQyIoAVrezzjrLLWJiCvO8885zyROynpSwnfvvv7+rEaReIgTKAQFcRdDrUlsrwOBk\nyJAhNmzYMBdKbcCAAc7PnYGcRAgIgfwhoIV2+cNSJQkBe+6552zHHXd0VuEmTZoYluIHH3yw5Aix\nbqUQEALJQQDr7+DBg+2TTz6xHj162JlnnmktWrRwVu958+Ylp6KqiRAocQREikv8Bqr6yUCAbGG4\nR0CIF1hgARfJgsgFhPGSCAEhIATygcByyy1nl156qXNtYQHwiSeeaOuss45zByknN5d8YKUyhEBd\nEBAprgtqOkcI/BeBt956y/Dz23rrre23335zUQuIXECYK4kQEAJCoBAIrLjiikZmwmnTprksdb16\n9XIRJu666y4jHJtECAiBuiEgUlw33HRWhSNATNf99tvPNt98c5s1a5aLZ0uc43bt2lU4Mmq+EBAC\nDYUAmeluuOEGFx1n2223tUMPPdSFDiQkW6n5TTcUZrqOEMiGgEhxNnS0TwjEECDVLxnBWrZsaR9+\n+KE98MADzm+4c+fOsSP1UwgIASHQMAiQcnzkyJFGjG3iqTNgx3Xr4YcfbpgK6CpCoEwQECkukxup\nZhQWAUJUEU6NcF2ESBo1apSR5IPIEhIhIASEQBIQIL723Xffbbh1kXlx9913NyzITz75ZBKqpzoI\ngcQjIFKc+FukChYTAVwj+vTpYwTBx1f45ptvtnfffde6detm8803XzGrpmsLASEgBNIiQPbFsWPH\nugE8kSs6dOhgbdu2dWnK056gjUJACKCkJNsAADyjSURBVDgERIqlCEIgDQKzZ8+2k08+2dZaay0b\nN26cW9SCuwThkIguIRECQkAIJB2BVq1a2cSJEx0ZZhDfunVrl/yD2S6JEBAC1REQKa6OibZUMAJk\nrhs4cKDho4eLxEUXXWT4ER9zzDG20EILVTAyaroQEAKlisD2229vzzzzjHOj+Pnnn22rrbayrl27\nOhewUm2T6i0ECoGASHEhUFWZJYfAL7/84rLOrbHGGm41N9noCJTfr18/a9SoUcm1RxUWAkJACMQR\naN++vb344otuAd7MmTNts802swMOOMClsI8fq99CoBIRECmuxLuuNqcQmDt3rguGDxm+4oor7KST\nTrJPP/3UTjvtNFtsscVSx+mLEBACQqBcENh1111d1Jz77rvPCC9JxArCuX388cfl0kS1QwjUCQGR\n4jrBppNKHYE///zT+QnjJkH6VNwjIMNnn322NW7cuNSbp/oLASEgBLIigI/x3nvv7Vwo7rzzTpsy\nZYoRvaJnz55GtB2JEKhEBESKK/GuV3Cb//rrL+cewQK6AQMG2EEHHeTcJC644AJbZpllKhgZNV0I\nCIFKRGD++ee37t27O4vxjTfeaE888YSLttO3b1/76quvKhEStbmCERApruCbX0lN/+eff1xw+3XX\nXdeOP/54t8iEBXRDhgyxpk2bVhIUaqsQEAJCoBoCRNU5/PDD7aOPPrJhw4bZgw8+aC1atLBTTz3V\nvvvuu2rHa4MQKEcERIrL8a6qTSkESHVKMPsNN9zQJd/YaaedbNq0aXbNNddYs2bNUsfpixAQAkJA\nCJiLstOrVy8XdefCCy+0O+64w1hzceaZZ9pPP/0kiIRAWSMgUlzWt7eyG0fw+k022cS5SGy55ZZu\nhTXJN8j0JBECQkAICIHMCCyyyCJ2wgknuMV3EOLrrrvOkePzzz/fiNYjEQLliIBIcTne1QpvE8Hq\nCVrPIhLcJd5++21n7cCPWCIEhIAQEAK5I7D44otb//793UJkSPJll13m4rjzn+g9EiFQTgiIFJfT\n3azwthCcniD1hBvCNeKNN96wMWPG2AYbbFDhyKj5QkAICIH6IbDkkkvaOeec48jx0Ucfbeeee67z\nOb766quNaD4SIVAOCIgUl8NdrPA2EIweX2E+WDVefvlle+ihh2zTTTetcGTUfCEgBIRAfhFo0qSJ\n4WtMciOiVhDTfe211zYiVxDdRyIEShkBkeJSvnsVXvfXX3/dWYWxDhNd4tlnn7XHH3/ctt566wpH\nRs0XAkJACBQWgeWXX94lPCLhR5cuXYwQbsQ5vv32211/XNirq3QhUBgERIoLg6tKLSAC+AjjL4zf\n8A8//OCIMIS4TZs2BbyqihYCQkAICIE4AriqXXvttS6UW9u2be3II490GfLuueceI/qPRAiUEgIi\nxaV0tyq8rh9++KGbriOiBNnncJHAVaJDhw4VjoyaLwSEgBAoLgKrrbaajRgxwiUB2Xzzze3AAw90\nLmzjxo0rbsV0dSFQCwREimsBlg4tDgIQYILKE2t46tSpdu+997pFdEzZSYSAEBACQiA5COBfPGrU\nKNdX832vvfYyQmI++uijyamkaiIEMiAgUpwBGG0uPgIzZ840gsgTVu2FF16w2267zYVX23fffW2+\n+eYrfgVVAyEgBISAEEiLAEaM++67z1j7scIKK1jnzp1thx12sEmTJqU9XhuFQBIQEClOwl1QHaog\n8M0337ig8cQVxrpA0Pj333/fDj74YJt/fqlsFbD0QwgIASGQYAQ222wzmzBhgr300ku26KKLWrt2\n7WznnXd2vxNcbVWtQhEQw6jQG5/EZn///fcuSPyaa67p4gsPGTLELd5g4caCCy6YxCqrTkJACAgB\nIZADAttss4098cQTzlJMXOPtttvOdtttN+cKl8PpOkQINAgCIsUNArMukg2BOXPmuKDwa6yxht16\n6602ePBgmz59uvXu3dsWXnjhbKdqnxAQAkJACJQQAjvuuKM9//zz9thjj9ns2bNdFKF99tnH3nnn\nnRJqhapargiIFJfrnS2Bdv36668uCDxkmKxIAwYMcAHhTzrpJDfNVgJNUBWFgBAQAkKgDgjssssu\n9sorr9jYsWONWMdEFSJixUcffVSH0nSKEMgPAiLF+cFRpdQCgd9//90FfcdN4uKLL3ZB34kwccYZ\nZ9gSSyxRi5J0qBAQAkJACJQyAnvssYe9+eabdvfdd9tbb71lG2ywgR1xxBH22WeflXKzVPcSRUCk\nuERvXClWe968eS7Ie4sWLeyss85yYdYgw+eee64ttdRSpdgk1VkICAEhIATqiQDRhPbbbz/nQoEL\n3XPPPWfrrLOOHXvssfbll1/Ws3SdLgRyR0CkOHesdGQdEfj7779dUHdiVp588sm2//77OzeJSy65\nxJZddtk6lqrThIAQEAJCoJwQILrQIYccYh988IENHz7cHnnkESMK0YknnmjffvttOTVVbUkoAvOF\naRiVhzGhN6fUq/Xvv//aXXfd5SzBn3/+uZsSO/PMM22VVVYp9aaVXf1//PFHu/nmm+2ff/5JtY17\nh+Dn52WBBRawo446ypZZZhm/Sf+FQGIRuP32223WrFmp+pEiHr2+6KKLUtv40r59e5dgospG/Sg6\nAswu3njjjW7tyc8//2x9+vSx0047zZo0aVL0uqkC5YmASHF53teitopx1v333+8iSpCamZH/2Wef\nbSyokyQTAVaDt2nTxoW+87Gg/XjZJ0phkIPVn6nN1q1bJ7MhqpUQiCCw3HLLGQO+aEhH9NrrNIdC\nvPr27WtXXXVV5Ex9TRICrEO59tprjdlF7heWYxZkL7nkkkmqpupSBgjIfaIMbmKSmjB+/Hgj7z0u\nEhtvvLG9++67LsyaCHGS7lL1umy//fbOlQXSy0uHz19//eU+/jf7cHfhWIkQKAUEunXrZsxueB32\neh39TTsICSZJLgIk/TjllFOMNShYiocNG+aMLFj8f/vtt+RWXDUrOQREikvuljVshfHpYmVwTUJQ\ndoKzs5J49dVXt//85z82evRol6K5pnO1v/gIYB0mY+BCCy2UsTLsU1bBjPBoRwIR6N69uxvYZata\n06ZN3SxJtmO0LxkIEJ1o4MCBjhwfd9xxzg2GKEZDhw61P/74I2slCQGKnzKDe4kQyISASHEmZLTd\n7r33Xtt9990NawtT5+mEqXSCsRNzEj+v1157zR588EFr2bJlusO1LcEI4DuMdTiTsC/qX5zpOG0X\nAklBgKxpK620UsbqMNA79NBDq7hTZDxYOxKDwNJLL+2SPH3yySfWo0cPR5SJanTddde5WYF0Fb3s\nsstcQigG9pneZ+nO07bKQkCkuLLud86tffjhhx0Bwv9u2rRpLoZk9GSCrkOEIcRMT06ePNmtFN5i\niy2ih+l7CSGw1VZb2aqrrpqxxuzjGIkQKBUE8B2G9GaaAdFAr1TuZPp64jN+6aWXumhGuMDga0wo\nt1tuuaWKRfj77783SDEyZswY69mzZ/oCtbXiERAprngVqA7ApEmTbK+99qoymiaxBpEJCK6Oi8TW\nW2/tfLmefvpp44NFRlL6CGB1SUcg2MY+iRAoNQSyzYDg6sUaCElpI7Diiiu6hZIYcDp27Gi9evVy\nSUCINIJVGOLsZ8H4DWlmoZ5ECMQRUPSJOCIV/nvKlCnWtm1bNwUVnWLC4sLL44033nD/Bw8ebJ07\nd65wtMqv+e+9955tuOGGaRvGokmyTUmEQKkhQIz06dOnV6k2ESkIEXnOOedU2a4fpY8AbhUkhRo1\napSLc8xvT4qjrePeDxo0KLpJ3yscAVmKK1wBos2fOnWqdejQoRoh5hjcKAiofs899zi/YRHiKHLl\n8x3Su/7661drENtEiKvBog0lgsBhhx1WJSwb1WbBFQvxJOWHAIvvRo4c6TLk0TofXjLeUojzkCFD\n4pv1u4IRECmu4JsfbTrxhLEQz507t4rbRPQYYkV+99130U36XoYI4CYRjevKd7lOlOGNrqAmQX7j\nUQdYDIz/qaR8ESBaxccff1zt3kdbTKg3EoRIhAAIiBRLD4xscyyY++WXX6pkNItDgzsFU001hb6J\nn6ffpYVAnEDIolZa90+1rY4AlkPcv3zSDgZ6WI8l5Y0Abn65CD7IPoNnLsfrmPJFQKS4fO9tTi37\n6quvXIxOVufGLSnpCsBSTNgbSfki0Lx5c7eQEgLBh0WVbJMIgVJGgNkOn62RRcMHHHBAKTdHda8B\nARJ9jBgxIqf3Gu4VZF4dN25cDaVqd7kjIFJc7nc4S/sgwrhMzJo1K2vHwYtk4YUXdi8UrMX4FUvK\nGwHCWHHf+fBdIgRKHQGybPrFw0TLWXnllUu9Sap/FgQguAx+EN5fUZewdKdBjPfdd18jEZWkchFQ\n9IkKvfc///yztW7d2lhchxBrmA8rdP2ihMaNG7tUmiywYvU2wdHXWmstl5hDOefLW3Fmz55thDlC\nvv76ayPrl0QIlDoC7dq1M0JO3nDDDYpVW+o3s4b6Q4jfeecdF3UEv2Kij7z//vv20UcfGf2bf8/5\nEJQ+OkWjRo3sqaeeUjr7GvAt1931IsVMtz/55JMuaQOZzIgR+NNPP2W1OpYrkJXaLqbXIc+rrLKK\nbbLJJi56RZcuXYyg6qUqdKQPPfSQPf/880YYMlxGWGQoqRwEFl10UTcQYEDI4JHY3BtttFHJAoAO\njx8/3lnBSME+c+ZMt4bAE4OSbZgqnjMCWErJBIeBo1WrVrbrrrvazjvvXKMFNecLNPCB4h8NDHgC\nL1cI/lEnUkwO8WHDhtm1115r+KRuuummblRF2KZlllkmbfD/BOJZ8VWaN2+em1aqDxC8VLE6f/bZ\nZy5U27PPPutG4Pvtt5+LAbruuuvWp/gGPZf01AR5f/nll52VtH379rbxxhvbCiusYIsttliD1iUJ\nF/MDAQhipQlRWL755hs3k4LVCGv5NttsY/3797c999yzZOAgqsz555/vsnjxAmFBLYRo9TBpBbM9\nbKskob/68ccfXUr6Smo3bcUSStuxlpKBlERMzZo1s+OOO8769etnRGooBSk0//AuF8ycSpKNQEH4\nR1horeTOO+8MwqnUYKmllgpOP/30IHRmr9X5Ori8EQg7rCBc3BCECSCCsFMJ+vbtG4RRLRLd6NAy\nHIQ+hkFIEIIwVWgQTq8Goe9houusyjUcAugCOoFuoCPoCjqTZOGZ49njGeRZ5Jnk2ZQIAY8A727e\n4bzLeafzbk+6iH8k/Q4Vt3754B9Y9XKS0BoYhNY/91IIR5ZBuEgrp/N0UGUiEI62gzCVZrDssssG\noS9y8OabbyYSiOHDhwfhIoxgq622CsJsfYmsoyqVHARef/11pyvoDLqTROFZC0OQuWePZ5BnUSIE\nMiHAu5x3OgM+3vG865Mm4h9JuyPJrk99+EdOpDiMThCEgc6D5ZdfPnj66aeTjYZqlygEwmnnIFzc\nEoRT8MGECRMSUzceGl4EYXSFIIy9LOKQmDuT/IqgO+gMutO7d+9E6Q7PGM8azxzPnkQI5IoA73be\n8bzreecnRcQ/knInSq8edeEfNZLi0GfYWfrWW2+94Isvvig9VFTjoiMQLogIjjzyyCBc6BGMHTu2\n6PVhOvzwww8PwlXGwQMPPFD0+qgCpYnA/fff73QIXUqCuw3PFs8YzxrPnEQI1BYB3vG865nd491f\nbBH/KPYdKP3r15Z/ZCXFv/32WxBGFAjCxVLBt99+W/roqAVFReCYY44JFllkkeCll14qaj3OOOOM\nIAzDEzzyyCNFrYcuXvoIoEPoEjpVTOGZ4tniGZMIgfogwLuedz7vfjhAsUT8o1jIl+d1c+UfWaNP\nkOFl4sSJFvrR2WqrrZbsZYiqXeIRCK1pLrQVIaFCv8eihG0j1FrXrl0t9LW00MKXeMxUweQjcOut\nt1ponbXQUuv0u6FrTLg1IgDxQb9JuCIRAvVBgGhCPmzb7bffXp+i6nwuSYPCQaf4R50R1IlRBHLl\nHxlJMR38Xnvt5ZSyc+fO0bL1XQjUGQFCAhHPmNivo0aNqnM5dTnxhx9+MOLOEp8TUiwRAvlC4Igj\njnB95Xvvvdfg4b4OOuggF1ObwSYhMSVCIB8IYBCjryRUZUOHIRT/yMcdVBlxBHLhH2lJ8Z9//mnr\nrLOOtQ1TAI8cOTJern4LgXoh8PDDD9vuu+9uzz33nCPH9SqsFieHIaos9AN1cTrDMES1OFOHCoHs\nCMyZM8eI0x6GbbOrr746+8F53MszROzhcIGd7bbbbnksWUUJAbMePXq4DIBkgSPTW0OI+EdDoFy5\n16iJf6QlxSTlOPXUU12GOuWHr1zlKWTLyaRERqIw/mshL5MqmwxepKm+6qqrLPQtSm3XFyGQLwRI\nHXz88ccbKWXJ8NgQguGCTGVkFpUIgXwj8OWXX7oMeJdddpmFkVbyXXza8sQ/0sKijXlEIBv/SOt8\nds011xj+PCLEebwLKqoKAmHQeCP73dtvv11le6F+3HjjjW5qmWluiRAoBALoFu4L6FpDCM8OzxDP\nkkQIFAIBOABcAKLaUCL+0VBIV+51svGPaqQ4TGBgH3zwgR111FGVi1ik5SxiIT2mJL8I7LTTThYm\nGLC77rorvwVnKI3rMBUYRgrIcETlbGZ6Ev9qSX4RQLfQsYbUaZ4hniWJWRi+SzAUAAG4AKmhWRxd\naBH/yIyw+u3M2NR2Tzb+UY0UP/rooy4fOitPJeZWk0+dOrWoULCi/Morr6xShzFjxjhfQvwJ/efd\nd99NHcNChS5dujjimUS/8DB7kqsf+lZomT59upvS3mOPPQp9qZIoH+si5K2YgjsLFqioPP/888a0\nFkRv3333tccffzy629Dv7t27O9/dY489tsq+pPxAx3CfQOcKLTw7POM8S5Uu8+bNc+tgioVDGJLP\nRf8gShPrJT755JNUVVj1jvsBri6rr766Mzr5ndn2+WOK/R8u0KxZMxeJqtB1Ef/IjHCx++27777b\n9TfoMfr+xx9/VKlsOp5S5YAE/aDP5DlNxz+qkWJGattss02Cql+5Vfn9999dR7r//vsbIXKiAqmg\ng2Wq1n/wmUVGjBhh5557riM+TLEmlQyiZ++8847xQiukEFIQv0sN9AqJcu5l45tI+LD4YBNLyNln\nn+3Ib8+ePR1p9h0vx9KJbbfddvbCCy/Yeeedl/sFG/BIdAxdox8tpPDM8Oyory4kyrmXDWkcP368\nGwyh2/iWe2EAGsaRtgsuuMC5izVv3tzvcn10pn2pgxLwBT0rtE7TTPGPBNzsNFWAfwwaNMhGjx5t\nTz31lOFrfvPNN7sjs/GUNEUlZtO2226bln9UI8WMcNdee+3EVDxaEcjeRhtt5CwCWJTCnO1uN6Zw\nCOJaa61V5UV68MEH2znnnOPCcK2xxhp2zz332EknnWSrrrpqldH85MmTrVu3bs46hQ/VKaecYj/9\n9FP00u77559/7kLUENbrwAMPTL3U6dToNMJMQLbFFlvYiy++WO3cumwI07VamHrTLrroorTWoCZN\nmlgYZD31CYP3O1ePs846y62Ax9q2+OKLJzZME3rGYrsZM2bUBZ6cz/n000+NF1FDrZ7OuWLhgWEa\nSjdoQXeIXsBiLQSfJ3QWnUa/sT4i6Cq6d8ABB9iKK67odPaJJ55w+oeFddiwYe44CCY6efLJJzt9\n32+//apYqNxB4R86tDDdtbv2Lrvs4uLcsi9MZWz9+vVz26kDJDVfQnQGrMBxCyfPdJs2bQy9py4L\nLLBAyuccEkwsYCKILLvssta0adN8VSev5aBj6FrUUpjXC/y3MJ4Znp0k9tWZdIfIL9SXwTvEkZBf\niNdVdJ6+mT6UBbiEBKU/Rve8Cxt9OsfxrGy99db22GOP/ReRqv84n3K4Dn0+bnBIpndI1bNr/6tP\nnz6u7rjQLL300qmFlhglIMt33HGHbb/99ta4cWNbbLHF3AWy7at9DQp7BveNfrTQkmT+EW17sftt\n6kI/Chehn7/88std9TI9e9G61+U7LrUM9omBTr9MWNUw+6ErqiaeUpfrNcQ5mfhHNVL8888/u4e6\nISpVm2vgA3niiSe6eJyEh+El6V+qOOYzkvnwww9t7ty5bjRD2dOmTXMv91dffdXFpWW6docddnAv\nrC233NJ1VBxHmxmhQibpqCiLTiwuZ555pvO1JhYpHTVTCEivXr1s8ODBjnTQ8dPxpRPO2XDDDat9\nbrvttnSHu20oYaZg/Pgu0vHvvffe9vLLL7vj6VQID4VVAqLFS4GRXRKFlwdCfQsplJ/UEGwXX3yx\ntWzZ0unOlClT3D0DCxZtoedMw2Pp95ZRdJXj+vfvb8wWMHjDtSZMV23oOZ0j1lWmZdHpdu3auXLQ\nk4EDB1aDGR3iJU2M2zvvvNNOO+00R0CYCuN8XBZ4riAo6eSmm26qps/oeLaV6r5jTVee30aosTCv\nkm288cZuE4MBLMQMiiHpnvz745P0H11rCJ2mzf4ZSlL7M+kOJJZZGwZ49Hn0m4jX1a222soRL1xC\n8GOlv8UQQZ/mDQ306Qz+X3vtNePZwQqLnkSF3yeccIIzguAHC0ZcL9s7JHo+z0K6fpp3RjbhuST+\nOoQcQwZCvVdYYQXr0KGDGwww8PNkItu+bNcpxj4wLLRO066k8o845sXut3kvwDXoF5955hn3jueZ\nyPTsxetf234bvcWySv/LbB6cgneFl2w8xR+TtP++74zr9YLximJ9YCSQNOFFg2UUMtCxY0cjoYgf\ncbPAYsiQIe7lz2h2s802S1WfuKFYS+mQseJAIBE64Ouuuy51HJYHRj8IHS1TA1ilvEA0CHuEhYqX\nM8KLG0sbL+5LLrnETSlg4YLkpJN8rkonYD/WQiwTWEuIUcrLBizwa4PssBKeOkKqvvnmm8RZShl5\nIoxuCynotL9WIa9Tl7LpZC699FJbfvnlnUUY/3CEF/uAAQPc4hbuaTTEF+dsvvnm7jj+YzFm+hbh\nP4M29JkRPC4HCD64EGYISFTwE6NsroVgkcO3lxkIyDBTZm3btrVOnTpFT0t9P/roo41PPoUOH/2G\npPPMUmf0F/LPQA88eJ4hKbhTJE3QtULrtC8/iXqdSXfowxnMQAaZ5Zs1a1bq1qGrfuBF38yAjIEc\nwn/ItH826M/o0xnwYUl+6623HIn1hVE+/fXw4cPdpjBtsSOiGFUyvUP8ufznPRBdnxHdl+07gzXc\n1iAckCbeCV5XsVDTV2OsgPAzU5JtX7brFGMfnIB+tNCSVP4Rb3ex+21mvdEnjHEIPARCzIx3Ifpt\nLOMMTkl6BRHn+eAZhe+Uqvi+0/elvh3VSLHfkbT/fiqVRWMQPqZ2uSncKOLOYtmFDLOgIZ3EiT6/\n4xaG6Hlx9wk6cM4h9bUXvqOY1Om+++5zpJmpvdtCqwTEPS5Y6ujc4wKpgLzXRiBRXphSpANmhTAE\niY7FZ7ZiOnrhhRd2HTAuJpUofkYhiW3nBQmBHTdunBuwQQbRIaZar7/+ejcqx5/WW4rjbchVryGW\nv/76a7UXGx0o08voDYJO47bBKBrLF1kHsQyg51gk4kLnTJrjuEBaIQi1FXSYgSvEwkdVwAqBvi+5\n5JKuuJVWWslNGWJJTyIprm2by+14pnTT6Q6DePpoCCL3MJM7U6467XEjS1VU0GkGT9G+Gusy5TIT\nGH+HRPtSykEHIdBxgbiT3S2T4NaDzvL8MGCjT+a54t3B84NA/NFtJNs+d4D+JBaBJPTbvNu90QNd\nx2CHgSPdsxcHsrb9Nn08Oo2BhA8zKfTvpUyK45j43yVDirEsYObGd4sPN4aXIr51jOwx7cP4sTKR\nja+24kcL+LdBBLBCRAVCScfG9I63WDDNxmiDaWsWw/HBssbvdKSYKT2/cChatjfjR7fV9B3rCO2G\n8DEw8EHWscZg7WPakBcQAwcsx5VKiGvCsdj7uT/4hEGCSal6/vnnOysaL3BSq/Kfl3xdhEEfH3Tk\n9ttvd9dhgBQVOlam3XAdQrBeoT9cE+LCFDY+9vh6oruQi6hQ53TEFAJRW2FWgwHubeGgElIdFZ53\nBp4sYMIqQscfnemJHqvvxUUgk+4wkwVRRK/ou7MZJbK1wPfV9HH0fX7WxJ+DPtIPM2uC6wLCwDLT\nOyROivF59sTVl8n/TG5sv/zyi3sPMRhAmGmBGCO4UzATxDG41bHaHf/+mva5A/QnsQgkod/GfYIZ\nPngJfTNuOZmevfr22+i2n3nhpjDQwzWzHKVkSPFvv/3mwjXRyeE2QceFfzAvyKFDhzqHc17+kMK6\nLD5hsRwkkpvN9B0Z/aJCh8hLmWsxZYE/J2QWX14sbfir0dlDYrBkp5PaLg7CPxoywNQxZJ1pCx4E\nCAoWcSx3EF787sjUttxyy7nL4vqB5ZnjEFxLJMlEAJ3CeoTO8rLHIszLnG0snONFyui/LgSCZwPC\nwAsZMozfcVzQDaZ08RljdoTPI4884nyc27dvn6oXJCPesVIW9cvkQx+/lv+Nbz8vFVydeNbwzWcA\nQIIAnj8WiHrBAnLhhRc6fcfXFP3H4s05WOYkyUOARTnpdIcXOG5v9FP1GaSjE+gzfTAWLPrhaAQb\nrMToNQMs9Bk9Q6eYXUTP4++QOIKU7fvO+L50v+mnsdhxHm4dPG+4JSFY1FjIigEDyzDvCO8Pn21f\nuutoW3IQKHa/zZoT3ILQO7gRHAD3OProdM9eHLna9tv0zywYxYADj4EP+XT22XhK/Lol8Tt82VaR\nkGQF4ci2yrYk/QgVIQgJYrUqhR1k2u3VDkyzISQBQeinFoSjrSC0Rqc5ouqmUAmrHcd5uZxbtaT6\n/eJ6YYcfhO4S1QoKrX1BaPWrtj1JG8IFjayQCV555ZWCVisc4ATh1E9Br1GfwtG72bNnVyuCbeHM\nRLXtuWwIO6ogdDcIQqIdhBayGk9Bh3i2osK5SdOhkDQHoStItJqJ+46uoXOFFJ4Znh2eoSRKJt0J\nBzRBOMivc5XDQVQQDqicTnONmiQ0Vrh+PXpcpndI9Ji6fOd55T2UTj95Z1CXdJJtX7rji7ENTgA3\nKLRwjSTzj2j7k9BvUx/0OfosZHr2onWv63e4VyY9rmuZxTovE/8oGUuxH2Fksray4KK+go9bJj+3\naNl+gV90m/d3jG4r9Heumem6uHV4P9FC1yPp5YcPXaKrmEnvvOW/PpVnRM/iopqEGY74s8W5SdMh\nLG2S5COQSXewpPKpr+Si01zDr62IXi+u59F99fme7XnlnZHuvcH1su2rT310bmERSEK/TQvj+pzp\n2csHGsyG8ClnKTlSXIibgY9wufrHFAKvUiszyQvtCoUl02i4KEiEQDkhwLR13Ae4nNqntlQ2Auq3\ni3//RYrDe6CRevEVUTXILwIMBHyGw/yWrNKEQPEQqI2vb/FqqSsLgbohoH67brjl86x6kWIWf+Hk\nXdNUFqt+cewuttmdxRg+sxFuB0sssUQ+sazosljQgsM9wpQ7UzilKkRgqGmansU0dGBJ0CF0Gt2m\nPjXVu1TvSTHqTRg74nMiTPmziLdUBR2h/j40WLp2oEPodRIWMFIPPgjTw9nqna4t2pYZgdAH1YVm\nxMWulK3u4h+Z73Gl7ckn/6gXcyEF8eGHH54Wf6IfhItB3D5C0BCmrNhC9AZCX5EAhPBP2YTV9vFj\naA8xgQmzw8pmwgF5YWUmq+NZZUwInkxCqB/CTRFtgIxO0XBbRK2gfqSJJcQcAd6jEjrQuxiurL6P\nCiuduXbbMFIFq/IJz4IQE5nV3oQHYqUzyQ+8sB23keiHdMFexo4d68okAgJxPaPCqm8iCESFqADg\nSlBzomWUqhCxgdXr6YQsVT4sDVFI/CrydMc25DaeNZJz+LBq8Wtn0wMGAKzKJzQbzykRTeJCmENW\nNPMyzSSZdJDwVKz4R4+IABDXacpDXwk6H93Hs0W4N+7FYYcd5iJOcOy9995bRWfRX9Jex4X07vHn\nkIgtPJ+soCYutJdMz0K4kNXpNOVHszf580rpP8l93nnnnWpVJmoOEUroW4ikw31IgrCSnnjVPnNj\nujpl63Mz3WsG7sSFR6+IsRrtf9NdI1s/yPHs7969e7VTSaQQ7W+jB2TaR0IEyiJuOc+zF+LbR/tp\nniekpmcBokACqlatWlVxD+S5IA4z77FSlnLkH2PGjKlyr7nv6AUhDKM64L+HiztdxB76bjgFHMC/\no9Ld20x9XfTYdP2x35/uXZCp7yf7pK+n/0+4WyRTO9lHuFmeUTgLPIswuEg2fc8r/4iv/KvN6k8f\ntSFeBr/DIOmpaAxhzN8gzAKX7rAG3RY+REHY6WS9Zhj/NAg7EbeyOwzUnjqWFZ1hrL4gjHfptoXk\nNgjJiPsehiBy+0LFDcJA8kH40g1CRUmdG/0SEswgzDgWhFaQIAztFoRkNrV79OjRQRj7OCByxMSJ\nE130AB9ZIsyGF4TT4a5eXMML0SfCDFKuPI4NyWoQhkpxu0NSH4RENyASQUgygjAUURAOTtw+6kq9\n/SfMGhWEGfvcvjCkWxD6WAeh4gasFo+uNg3DCwWhJSkIyYWvQpX/YVi7gAgBuUim1Z+5nFubY8I4\nuzlHn/BRG9KVT31ZXY6EgcuDMKZwusMafFtIaIPw5Z7xutn0IAxCH4Sh0Ny56GUYKqvKan0iV7Di\nP5zpCcI4mGmvkU0H0b9nn33W6WCYedHpYDjwSJXDSv0wvncQhp0LwljKqe3oI88Dq52J5BCSBLcP\nXfQ6y/9bb701CEMzps7jS5j2PQin2YMwbFFqe0igXDt4dsLOOggt6kEY29vtz/YscEBIoIMwRXuq\nrJq+JDH6hI/aEK87fY2P/sJ9CglX/JCi/A4TxgQ33HBDxmtz7+mP0/W52e71ySefHIRx7p1ecV9D\nAprxGtn6QU4CN/recMCXKoP+IyQAQbgIKwgHm6ntfMm2j36fZy8MrRmEVv0qkWCIjIROe733z3q2\nZ4FnLIzXH4Rh8IKQyAThjEeVuhC5iP25ChEhkhZ9ohz5xxVXXOHe4f5e8597SaSL6DZ0L5xBcRyL\n+0tfyT0NE88EoREsCA0haW9tTX1dpv6YwtK9C7L1/USJCQefVertIyFlaicchudp0qRJjgf17t07\nCI2Hri3Z9N03Nh/8o16WYtg704uM6In+QGxfRqcIo1EsinHBGoRlC7cLrHLEcGRkzKidETRCmaTy\nZDTPvrBzjBdTsN/ETSUxQNeuXd10tL8Q9Q0VILWCGOuKz2FP6kMsLIzUiJlJggEWhKQTLKy0iWl3\nMjyRQ9wLZZAymmktVjITr5aoAAgZdEKFdlOgTJN7CR8UdzzuChyLJczXC0sAVgUSKRCbM7oqlbqS\njpUP9wnXFqyBJG7A4kgMQix7TBtHV3CznXsYrYOvS7n8x2oWvjxdrFISsnhrEtbF6P3y7QVv9Jf7\ng4ARwc6xSGLxQigTiyz3nnSwIcly2xviTzY9IMOXdwFBF/xzSb2YTkdHiROcLcFMNh1E/7BCo4Ng\nhI5yTS/MbGARiCbLIeYmyWh4HtBLrF1YAhB00est/8mOFrWQE2P54YcfNqxrUeF8YnvSDvDHYuKt\nxZmehej55fCdpCj0qeilt8qHLxPXX8Xbx9Q0VkssoUj4knLpllmQTFx274ZGfHfKo1zSMZNiuSEk\nW5+b7V6zj+RP6BXvGNpJBru41NQPoqO8u+JJPtBzLJjMKsX7yGz7iE9+5JFHOl3HfSUeUYBY5V7v\nfXKqbM8Cserxv6YerC2g/y9HKTf+wT3CHdXfa/6z+I5IF9FtcCU4AW6g3F/6Sr7zHDLLnO49Rdk1\n9XXp+mPOy/QuyNb3cx51j9Y76mqbrp30S+Hg0FmY4UH0455LZdN3rpUvqTcpJsUmU5W86CCN3jyO\nmR3SGxWmZsmOxbQzZAt3ARa5kRnuzjvvdFOUdEbkjW/ZsqVLIABB5UanE4gFL9T4h86/PgJ5jHdo\n+ESTXICpKKaeuFk+oxYdrCeiXBcyS6dZk4Sju2qZ75gqYKqTDtIrA+VQn3T1gnTwEOC2QDpeHob4\nVC9kDLINWaNzjQovRY4Hc4Rpa6aNSegA7rwEow+YJ9/RMpL+PX4va6ovHQAkDZLL4IesbggdMNNV\nUYG8EUCdxAS8rNB7Xry46qDvYEfGODoxokEwFQbJJjlHOuFZiOszv0mxWV9JpwehBcpNUdOp4hoE\nifcEmE4XYsRgKZvkooOcjzsS+oYuIhBaknWgt1EBU54hLwy4wZ37EhVILb6mkG0E7MgIyHRe3Ac1\nXZnxQXv8WYheqxy+8xLClYZBDm5vtJdP3K2CPpjpWAbYBO3nGLJxkhqWLHLoh+9jcQEjmREvR/Se\nfjKdkBgpnV7zPNRFsvW52e41+hbXrbgeUJ9s/SB9NM8LxDNdKFD6SD7pJNM++otwNtX14wza4q5Z\nDEQw2DCtTPviEn8WKI/3L7hDMniW489PvIxS/F2O/ANexAATYyMuTXFBh3n+4u95jmP9Vjjjax06\ndIifVuV3ur4uU3/MiZneBTX1/bxD0UGOg+NFJV07ea55z9IHIQzmQgtxar2SPz+u7357Pv4vWN9C\nsHzReSI9evQwRvChybtasTzwgBK6BaSIGS8vSBqEAgEIfBAheFiaWQRALnn8UdJJ6FKQbnNBtmHp\nmzBhgiPGWBewSKF8KC+WYYgD9WS0Roda0yrp0DXDKTa4RAVrAniEU5nOnwYLDSOmTIICcT1wpyPk\nJQP58kSB8w4LfTIh8xB56ksn6QXFRPGw5iH4mIbTZG7AwsgMIoNFBT9hRqulKHQAtRHugc8pj28f\nLykWXcUF7LE48gLzlk6IA4QMooDwYoIQ8xKFDA8aNMjahn5fnTp1ihfnfvMs1ZUopC0wsjGdHkDc\nIcM8Z/hheh9J/NJYMMnMRjil5YgRzwBYxgcZueggg4WDDjrI9QHoEQMFdA+/UMoHX//h5R3VeX89\njqPTRKjL6aef7jKa8RsLN5ZgfNUYaPu68h/rdLxMtnnfe85H4s/C/28tn788xxgjuNfcW1If039H\nBYwZCLHuwffLWH/Byvsq4luOEQADBwMcUjdD1OhzMGakE8h0PiVbn5vpXqNftC+qW+iBfwFH65et\nH0TP0D1IPn0vEi83WlZN36kX/Ss+yBgiuDb4MxAmZTXZStFp3jusZaAv4T3pJf4ssJ0yyPzHoIXz\nmJ1lwIslsJyk3PgHfSSzc7xDQnczZyAjPbo3VHDvMEIyexbdxnbeNTzjPBs1hZiN93XZ+mOMaZne\nBdn6fizEDLhZ4Bu65rm1HywEhytlaifvUd6B1J/zeS7o83kne0mn735fPv5nZlt1KJ1RMCOVdAKz\nZ4TNqNxbKyEJjIABHOEhZlEYnTbKzjmMlgAQMhEXSB6Wj7gwmqYTyKfwYqDj94t6WNgGeWQAwFQX\nzuGMiui8eElEb2K8HqTb9VbdqNWC43gYmO7mw9QcFhgGCZkk9Kl0nSdEiw8ddejvWoUUM1LjA4mH\n2DN9iNBZUo9o+l/uBR08hBiBLKOUdLJRMu12VsgfVsGDSVzADbx48D0pRqfBzJNqdBr9QOeZ9WAm\nBcy5zxDSuDCVy0xEXNAnBlL1kbgeMPqHvGN5wIUCoo5lfFI4EONZpVPmg9A5sfANfeOFHZWadJA2\n8RyjzzzbCJZfpuCZ5UBmzJjhBmAsIuUYrANesAZB5ni2vGDVgED4uvBC4B55C7y3LkA4bgutKgz8\nKMcL/RTPr5d0z4LfV47/M/XV9HP0I1jdwY7j0GmwRpe9MC2KsAiXGS36FogiWHfs2NEflvpPf5mO\nfPLCZUq3tpKtz810r2kLbmnoge+f0QOOj0u2fpB24LLDBwLOOw1jA8YISHZthXphAMKggkAccEnh\nfQIpjuoppDb+zog/C5RB/X15DEJ5dlkoXs6SSadpc6nwj2g0EIwVcAn6T99PQi5xMWCgFBXeUczq\n0IfDi7JJur4uW3+c7V1AXRi8tU3DP+iv4XNIuO7DuaSig5DibO2EsDPopk/nmSJluzeMUFY6fWd7\nvqQaKY5ePJeLeCsc7B0rDWQunWD5hQgwLYeVFaIHeWCE4n0CIV50OABBp0AkBh5mpkTTCVN6cWsP\nx8VHUOnOre02rIVYBXhpQyAgCayo52WN8EAyssGyCg4+2gZWFSza+FvTOWFVxJrItHq8M4Y0+Zc8\nKzfpvOMdYLze+K56Cw77IDh+lIh1hv1cN1zk4QYQ+Mh6wR0EnL2ln+34J3EPOBcSxb2gUy4EIfa6\nU1ud8/XP9T/l+2vleo4/jhc+LzxvofTb+Y8VGUsMeswggk6M70wjY2VD39FPHnCIBS87XDGwsDGT\nwD5PLny54B/3U2Qf+lVXyaQHXJt7y36eW55h1gQwIGX6zT+XXJeIKBBkPwNCRwXRwWUkmw7yPLCC\nGLLkdZvysLDz8YJFmmtCvCBjdNy8DKgLAzlPpjkeqzBk3vvFsg2yA5Hz4mdO6EAROmKs0gxqKZtI\nK3S+XtI9C35fbf+ns6bXtoyajvfPTG302h9L3wLh8v1E9FroAbN5WIvRb9ZzQMwwStAX+T4LKzOC\nUYI+hQ/H0O+lI8W4mvnrR68HeaurZOpzs91rv+//2rt7VSuSLgzA/U0uGHgBMjCJgQZibjCJIAwT\nmQ7ewNyAGJmIN2BiZKKBYGggMxOYimggMiamIogoGtpfPT3UTJ8+u3tX7927z/5ZCw7nnO7q+nlr\nVdVbq6pWZe9ByEC2bss7HTJZHOoHEawsxgR629a9/G7Mb6RCX8PKhwwYC2CmLdiamPtoepvzK/5F\nbcFz8emH6DvctRXGolVFHFnnVo2j5LuxaWSd2hf+wbimruFAtxji2pNG44oxJE/qYCqMM1B0ulvH\nXf4h/KK+bqg/9k3fWGBC2Mc/GPSML/JKp62K5xXUZeU03hgzrZ4YL7P06Xt+P+Z31p2uzh0jxQhf\n9g9ZkgDLAmKVLYndvVA5DgkbFA34rGisZAZWe1ftNzEY+0GYdQ4sPpSBsjuEsEi6hxEWhRn7zLKU\nQ1YGDhZAhNbBHYSGQupsEAPk2FJWBtRMCAbIEwtint1bXqBQljuQU/v5VIbtDFkoFYJhUNEBiv/d\nu3eN8uaN6XBlZVQ3rJIwhIvZocFeHcDDQMH6QuTbAIW82+NsWcZ+ZQJrExVbLtqCyNkrx9LeJkA5\nDPKCKNs/bo8by4U8rCJZz/JBr1XiKPnGPkf1VSrIqrIhT3CC7yJR98gYsmjrjMmYpVUdkfrRgOFu\n2RIBNSBnnVbXXUIsDfqTcV+U5irPhvRAG6TXDvewCJho5pWcobS0WxNFpHhIB3XAJmoObWZBfLWD\nPqHDvqO72hHi0l7NkGdL9QhzqZiw2BpigkPvLDOa9JG+tlAadzdcnjh3n0/5f24zY/Ta9jbWQ30M\nsqtvYelsC52G//3795u+gm44bwBzgy6stH316ZmVPlZ5/SMraXui0Y63RKfa4Uv+7utzh+pan4lA\nKJ/Jqr4yT3gdGrTqgRQv6wf78sf4cDmNEYwm+g/9K3KqTQ+9s3XJGCCsOtWvapNWP7Qv+bEM7byH\nbYdZ+toCcsR6j2DZLmJi056E5u9Lf8+h0/Jy6PyDHuBG+j1jB4uwMYYwMCCK7b7Qc9vzcBW6nbmS\nvlk8Xf4xdV831Pc7cGqrB/6BPDOI5hXUoXKaGCorPmXV23ahLH36nt+P+d3LPxJBOyJp1lunQxhH\nni37J0X+r3ujZWEXvU8N/4gLGmESManTYLgo+MrPSlyylUSeFO1YsFSBjTu2Yy9GPoBlGnQadyRj\nPk0d8BHXaflbz8WXCFp+VPQ7WYtrZRoriWgUu2RLEyCbfSfBbSif3NlxKZasLkPBjryDW+qU6jQp\nO/J8zD+JHB/5XlyrYLoszWSdHnTJ5vtlepAG8VH4LMpTnw4uClvyjA6mzrQkaHEYfYo2NkaSZbDY\nJRsdo2t0bpOSVpGatqMNlYq8JSLYuHgq/aYbLhHgIy77vOcKys+UkrYYDbpkk9ayPneorukV/Vom\nq/aDy+Lte58mkAvbob5klbaQtoc0ruC66amvNKHtPu79HyfADTYtwT/+aU/GbLxoV6Sv708W4lpZ\nuCPsCh1cVM5E3Is5RDfOKfjHD11mbWmGJXCMmN0tW+Yfio+FoWv1ZVXNM6Shb8e+c4DNbGWd/Zl5\nCbGdtmXAKbZtwPJsOgjXPgzSTqfvb9aOvA+4HcZz8bX3Y7bf9/0t/TFLmywucHUooFToGQvKFLgN\npekwkFmhw16lAjdLOKxmq0q23OfvxTUG0/xdyW9WPDPxPlmmB/Z45VWPvjiWPe/TwWXf9b2ng4tO\n9/eFL3muT8lW1mXh7Tel03nJb1l47+kYXcseNkq+WSWMNqPtjOmr1a9vFq1QlOZBH6Nvbgvrc96/\n2n6+7t88o8C/r90u63OH6ppelfSxY/vBdcvM4r6oHepLVmkLVgPaS+3yx2tTextdSZ7pWXvbRsk3\nq4QJ/lE1bcmYvcr+9FUwn+Kbvr5fX6MsXR2Upj5jUTmtiGgHY2RK/vE/TLuduKVWyzj2qYzNWDue\nbfzb/ixL40QllnSK21iObcyTZVhLfUQDWNSxd/Nt/6K9e/abblLkywCJ3NjGsm+SZunNNiPlGjv5\n2TcspiyPrtFeOKKv0GcsE52z7VIOEW66f/kteZUxCW17IliWv115nyy0/x7MM7CuMzndlTLPlU86\nTbdhWjJBShb5hpDb2++MzyYl+Mcm0d3fuKfkH8fMYA60YPBdn3L7AKdOAGnws+kBax/wGlMGhCFj\nW0KIHSKw345Xgk2LujbRs49wH4XlLmO/j+U7qTLR44xrCSGWTzpG1+boX7QdbUhb2jexhzZjH4R4\n2tpltIBtCSGWMi6AE7QPu06bo/9iC/7xHxbxVzkCU/KPY6RYg3Egw0GX7iGM8ixGyEBgGAEHBy0H\n5oN/w6HXf2t7gdPl3YOF68ccMQQC/yBAt+gYXZtDtB1tqOueaY60I43DQAAHwAVwglISvQ4ywT/W\nQS++LUVgiH8cI8Ui5QLDqcW7d++WphHhAoFiBHjWcPqdX9O59k05qX758uUmzeKMRsBAYAQC9JmO\n0bU5RNuRpn5amwoJBKZGgG7hAlyKziXBP+ZC+jDTWcY/ju0pzjBxCWOG6HatTbjTyenE78NDgINx\nlzXwVWiZdC7hE5vrOoTcNdohgcBUCHBjyGe1a1nb7hanir8vHntv+Rt2gO7Jkyd9weJ5IDAaAW60\nXAblgqohF4qjIy74IPhHAUgRZCUElvIPB+0WCVca6RajOlk9ilzXLIojngUCXQSSz946Wbjq5N+6\n+2qW/5PFo07eB+o02ZslvUhk/xGgS3SKbp2EaEvalLYVEghMgQBXdMZ+HAAXmFuCf8yN+GGkV8I/\nnELtleQQuk43to32W9wbYbw4aAT4ezV4p0tDTgyHtEeuTo7s6+T1YiM+g0+sYJHwiSDAVy5dolN0\n66REm9K2tLGQQGBdBPglNvbjACclwT9OCvn9TLeUfwySYtBwDp+WuOt05eeRiwj2E7Yo1aYQSLfC\n1emgRvElCJvKh3g5wue4Pi0NrnXpzCbzGHFvPwLJbWWjQ3SJTp20JP+zTRtLrrNOOiuR/o4i4IIh\nY70xf8zFMJsqbvCPTSF7WPGO4R9LSTHo0kUXdXL7VKcr/Sa/ueiwquYwS5t8t9bJRVWdrk/dmolV\n2tPcLA2m6zTr58+fH2bFRKlXRoDO0B3Ly3RpGwSh0ca0NW0uJBAYg4Abxozxxnpj/rZI8I9tqYnd\nzMdY/lFEikGR7qKu0w1CzVLhn3/+uZvoRK5nRcCVpb/++mud/IzWt27dmjXtksTSBQv1zz//3FjX\nbt++vVPXapaUL8JMj4CrV+mKVQ+6Q4e2TdIlNU2b0/Y2ca34tpU38rM+AsZ024CM8ekymPUjnDiG\n4B8TA3oA0a3KP4pJMQx1sL/88osb8OrkOL5+8eLFAUAbRRyLwIcPH+qbN2/Wp06dqn/88cf6jz/+\nGBvFbOFZ19LJ6obksPo9ePAgDpbOhv7uJOTgEd2gIwgxnaE72yranLanDWqL2mRIINBFIF3f3Izl\nxnRj+zZPooJ/dGsv/l+EwLr8o9cl25CvC9c93rhxo3r58mV16dKlKi25NL4504BRuWt9jtuchvIX\n7+ZDICll9fnz58ZPKpdnaQ9Y5apONybxbfn77783f8+Xo9VScl2u63kfPnxYJWtJc9NesgRW58+f\nb/7nVD7kcBBwFS7/rK9evaqePn1aPXr0qHr//n117dq15rpw15Nvu3z79q3ipP7OnTuVv1324efi\nxYvV2bNnm1vKSm6f3PZyRv7KEHDd/cePH6s3b95Uz549qx4/ftxcNnPhwoUqreRVV69eLYvohEMF\n/zjhCtii5DfCPxYx7dJnf/31V339+vVmySXh1FiQ4/fh4sCCduXKlfrevXv1169fS9Voq8Ilx96N\nZS35fq0TYQidPvB2TQfoAmsr3dhF0Ra1SW1TG40++nD76Fz3tkkYu43huyrBP0KPsz77PRX/WMlS\nnDJwTNJJ7Ort27fVp0+fKg7lQw4DgbRfuEpLtM0FL+kU/l6tEnz58qV6/fp1lfaNNpa2w6jRKCUE\nrHScOXOmOnfuXKPf+4IKa+Hff/9duZiBfn///n1fihblWIKAi5JOnz5d/fTTT8314EuC79Tr4B87\nVV2TZXYT/GMyUjxZKSOiQCAQCAQCgUAgEAgEAoFAYGYEfpg5vUguEAgEAoFAIBAIBAKBQCAQ2DoE\nghRvXZVEhgKBQCAQCAQCgUAgEAgE5kYgSPHciEd6gUAgEAgEAoFAIBAIBAJbh8D/AXDVo2hByDSd\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(filename='tree_multi.png') "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ThjNp0vBmv86GXbkQK9GmGGi7DeavOujxZBwf4stP03uxI9fGrf06nv2EBlyX\nHM4fV6dTucFADgWqwe9HwRU9wojwt9Azwp+qoxIMYAoQAOwBaYYjxXb6RQUwKj6QX7ZWnOgGPmEv\nJIb6kuDGdbsmIXhuTBzPjTn7TmE9QvzwSS3DMUDC3cA3EFtu4ZOruqvuaeWs1BaKqpva6669dgLf\nLXidhIRYt1wvJ6eAmbf8iaysPLdcrzH270+FCJAdYe/epnXlGoZk7bZjbNiZgzzLpKPBvSJxZkpY\nCQHrLSRGhzL9yR9YuTGjzuOr7TpFpdVNiqcuF8QF88DQaIJ9W1bvOdDHzOobejN0byDml8Dn34IZ\nPh346NJEAA4VVyPCgRtw1XeOxDVDehI8tiYdgDcnJBD8swnTaqAMqADxKwQsMjFrUrcWxdcSfxnd\nmS5ZPgS/byLkexMdiy2sntFHJWJFaSTVMj7PlJZWcOBgKiUl5XTuHHVOXnPGjIvZsSsFzenkllsu\nb/R5Ukqu+uN3rNqTSXWVE4tT8NgtQ3nhgdF1lnFM6BzC6nen89mi/fS/qCMPv7qKikE6y5/IoHjV\n/acc++v2bC576BvsmpO7p/blP09ObPHP6Q69O/qz4ca+2DQnVpPAWquy1ueHCnEO58xb5CGwYmkZ\nhpT0iwxg4819eW5dFt+/XYKUML5rMH36+fPC5mP0SPHj90OiSQxrWe3tpgrzs7D91v6sTC9Dc0rG\ndQkm3A2TyJT2QU3gAnG21oi3CCGklJu9HYbiQXv2HGbEuJuxPaC7umZfA/9QMx8/fgnTLz779oZD\nb53LgZxiesdGsOnjmac8N/7+L/kl6hj0Bt9/mzm68A46dWzcln5y7vrm/DgtNn3hQb7uVgzDTnui\nCiyvQvVjw0/cpGSVO3hmbQbL0koptjsx4sDRX2LJAb9tJn6+oc8Z64AVpSXML29ESun2tCmEkPsi\nPLNJTe+iNI/E7Anq1lXxmsBAf5wOCVW4JiVJqOrmZO/hIrj45HFSSj7+bh+rt2dyxxV9GD/MNYb5\n86zpbNqTy4h+0Wdcu3PHIKwZJjSrgdkkCHTjfsEpRVW8tiWHjn4WnhoZS5CPe7YrvDm5A0s2lFI5\n2IBalzRtgsuSXetyi6p0DCkZ8dkeCvpo6AOBNOBGQIDeHypCDJ5Ym85PU3s1+Hpbcyr54y9p7C2o\nZnhMIK+P60JyRMMbhWSVO3h1czZrcsrpHebPE8Ni6OeBSlpldidf7CukwKYzJSlM3Vic59SEezVm\nrHhRQkI0TJMDAAAgAElEQVQsT90+FF4H3gT6QsB+C+OHnTr79tuVR/jdm6v4uGI/VzzyHRk5rvrR\ngQFWJgyPI6CORPvm4xO4ulM3hh2J4pt/XUlwoHuqPVU6nIyZs5f3AvN5rTiHmYsOueW6AFf3CGdk\nQCABs01wAMgA648QutHMuJggur63nc7vbCP2P9vIFxr6KCAF6Mmp01GTYW1mObpRf69XRpmdifP2\n8UvvCgpv0/kprpQxc/ZSbq9/s5CMMjsDZ+/ibXLZOtbG3A6FjJ67l7WZ7q3nnVXuIPmDHTyals5z\njkwumL+Xt7aen0v/FOU41TJWvOq5e0cxY3Iyj7/xC0Xldv7wzOATLd/jDqaX4Ig3YBSYdgkycyuI\n7xTc4HUjQv2Y/9IVbo83vcyBZpXIiWDPkKyf775EZDYJFl3Xk492FTBrbR7lDidTuoYRO9zK89uO\nYbvWcFXjqgLWAO/iup3OAEbVulAGVJslT/yczmsTTu3+s2lO7l16lAX7i3H0kye6xOWF4MiQfJVS\nxO39615L/I8Nxyjv70S/xPVvozvYQg0e+TmNTTf1c9v78Pf1WRT30dEvdf27arjBk//N5PZ+kW7r\nhVBaFzWbWiXj84JhGDz1zBukpmfzxmuPEx1df7nCs9F1nQULVhAQ4MeVV471yH64p+udGMH3r19T\n7/M3Xd6T1z/fRvFrdgb1iWRYn3MzMa0uiWG+BDlNVLxqgA5lhsGDy1P598SumN3Q12Y1u+o23zPI\n9TPqhqTT21ux3WRATM1BAcAlQA7QCdgHLAb64irQsRTkKJi1Po9XxnU5Ja7bFx9hkSzBMVDCaXO8\nDH9JhaPuClsAq7PL0S877cFesHOhe3df2pRfiT6+1gMdwBIIaaV2+qrNJc5LqpdadVOfF1as2MRb\nH8/nq90r+MfLH7ToWnff9zfufvpv3Hj/M/zjpffdFOFJW7bs49VXP6GkpPEtys7RQRz97g5eefBC\nRvWNZtOec7ds63QOp6RCN+AK4Clw/h5m5xbw2qZsj7zewaJqNIs8mYhrGwTkAXfhKkj9I3AE17Ko\nQNB0eUZX9cKUEqqvkjAY2FZzPrha1wfg6h7114zuFuJ78vjj8iAqxL339Bd2Csa6r9bHcy4YNs75\nDHFFOZdUMj4PdO8ej6nKhDXVwsjhLesuXPXLVionVFM5sorlP29yU4QnXXTpb3n6zTd56pk3mnTe\n659t46lP1vLq0W1c8ruv2bjLO2OIi46UIDoDfXDdzgeB7SKDWXvyPfJ6AVYTuqOmEMjpqoFMXN3W\nlwN3ANcCJWDKgjEJwfhaTv0T97EIsAGxwETgfbD8E8K+MPPJZUnEh9RfNORPQ2MJWGWCQ7iSfzYE\nfGfimRHuWSN/3DMjY4k5aiX4IxP+3wj8PhK8eVFXj+3PrHif2s9YdVOfFxISYjmS8i2lpRV0796y\n3Xif+MNtPPr46wgheHTuLW6K8KR+/ZNYv3YXQwY1PNP3dPNXHcI2SYfuUK3pLF2fwYj+jd/xSUrJ\ngdRibNU6/bt3wFpPLepmESA9tNdT11BfEkN92burGmoXNtOAzbgmb63AdVudUvOcGRKkD59cn3jG\n9Z4eGcOLc7OxjTMQNggwCb65Nplx8SFYztLNfmF8MHMuTeIPS9JIzXcQEWzhL6NiuW+g+4YNDCnJ\nKncwZ0oSGWUOCqt0LhsVRjc3VhZTlNZIJePzRGRkOJGR4Wc/8Cwe/O0Mpl03CavVQocO7t/mbvWy\ndykpKW/ytcf0jWH/5mKq7Dp+BywMuanuSUZ1kVJy23NL+Gr1Ycy+goSIENa8N52QoKZ/wF+eGAZL\ngf24EmEVBCw3cW9fz41jf3RJEhPn7aPymOFqkZfh2r84GtdmEh/ievxxQILlRxigB9TZyn1qZCyx\ngT7M21dEmNXMn26KPWUcNqPMzv0rUll9tIyoECsvjYnnht4n5yBc1SOcq3qEozkNLCZR75yCMruT\nlzcc45vUYqL8rTw9NIZLExv+b745u4LrFh6kDCeYIFA3Mf/KHioRtwNqApcq+qF4mdw5u1HH2R06\nf/7POjan5HHrJb2469q+jX6NZevTue65H6i8SwMr+H5r4qnRw3ju/lF1Hn+2oh+/ZpYzc9EhihxO\nDE1yW7+OvHlRwllbli1xuLiavh/tRIsAgnDt6tQX2A3iB5CPcnK7w2qwvioofWToGd3UDTGkpMf7\nO8jo48A5AsiHgK9MLLwyuUllLQ0pGfrpbg6EV2MfLqEUApaZ+HBSt3r3Qq50OImftZ3SKc6TQwAH\nIPhbE2n3DnLLlpBKy3iy6MfhqJb16NUnKS9DFf1QmkdKyRdfLKF3724MHJjc4LHl5ZV8/fVKEhPj\nuPDCQecoQu/w9bHwyiNjm3VuXlEVIooTycoebZBZUNHsWMbEBZN2zyAyyhyE+VkIaWHN6sZICvfj\n6ZGxvHokB9tlBkQAGeC/TKA55Sm7FoLr9+jXzHL2FVVj1w0uSghlQFTDM5HXZ1VQaNJxTuTkePhY\ngzd25jYpGS9LLeOo0459mjwxTdYWZPDU4ox6k/F3h0owYqTrBuO4nmB0hS8PFHP3wMb3hChtjyr6\noZJxq7Ny5WZuvPEZOsV3IDv9pwaPvXDibzhUlQG58Mm7f2Pq1EnnKMq2ZfzQzoiXcW1NGAQBGyxc\n/9LZy202RAhBl9Bz23367OjOOCX83/s5OHRJeICZVyd04eP9BaxeWo52sQQJ1m9BWmDy4gNgA0sC\nWDdmcV+/SP41of6yg5ohXZW/an8wWkAz6l/uVJfDxdXosaddJxayirV6zymu0tFDzuylc4QYFFWd\nfquhnG/a2mQrT1DTE1uZgQN7cOGkQdzzm+saPM7h0Ni17RC266qxDaxm2cqNbo+lqqqa1au3NGkZ\nUmvUOTqIn/87ncuqu3JBRgyf/OVSLhnjmVq4nmQSgr9dEEfhQ0PJfmAwmfcN5qY+HZlzeRITSoOx\nviKwvioIz7GgjwUeAW4AvRCqHjB4d28+m7Lr7xG4IC4Yf5sJsQFwAnkQsKbp4+EjY4MQh3Htx3zc\nPhjYuf6W+cSuIa6qY7WXLNvBus/ERQlq5yfl/KfGjNuwaTMf56eV65F2ybIf/8Po0QPcdm0pJYNH\n3sSh7ExCTIEc3v8N/v7uX+fZ2DHjc+lvAxd7O4Rmsdesf/rUN5OMK6uhP5APzAYeBX6CCes6MIGT\nXcUGkmzs6Bh0xo9iNBb45JCr2fExm5jo7MAo2fSJgQss2ewPqkAbLjEXgnmn4HY9ns6nVxqp5Xtz\nLjuCytAukGAC61pBn/IgrtPrWmStnGvPk+KxMeO0GM+MGXfNVmPGyjkwf84/2bXrEJ06dWhR1a26\n6LqTnVsOIX8rcX7i5NixApKSzr7JvHJu6Ehs6ARiwVzTH+yLCYlkuD2MjO9yXIU8DgEjXedYSgX+\ntTrD8rDzmTWLKj8nwkdAKUzVO3G/oys6BiZdYGpmbaSpeicOllRyYEUlwYaFwTKEUBrerOMKZxTJ\npYFsX1qGBAZqIfSkcTttKUpjCCF6Ap/XeigR+AsQB1yJqz/nMHCnlLK05pyncZXWcQIPSymXeCI2\nlYxboZycAjp16njW40wm01kneTWX1Wrh2efu5vX/ncN10yeQmNj57Ccp58Q6UcRKcyGGGSxOwaV6\nJIMJJRUbX1lzqJQ6JgnGHuAyTsy6NqVAP1w1vQ0ks62ZVFzmhCGAkJABc2cfowt+TNQ60o3ml54U\nCJIJItkZ1PRztMafo5wfhIfW6Z9OSnkAV/05hBAmIAv4CugFPCmlNIQQLwNPA08JIfoAN+Ca498Z\nWCaESJZSNm0iRSOoZNzKfPHFEmbO/BNz5/6DmTMv9Wosf/3L/fz1L/efs9dzOg1e/HAzizekMqpP\nJ/7xwBj8fNWvaG0HqGBFYCHa7RIiQc+WLPo4j8BqM/Mt2WjTJSQDBWD6CPgaxLcQarJynd6JwJo/\n+TSqcAQbMLTWxeOBAZBeVc2cI1lcWx1NFL4stuaTSTUhwsIkR0d6o5Kl4l5emsA1GTgspczA1Y90\n3AZgWs331wBzpZQakCqEOASMANy+6bmawNXK9O2byLjJg+nXL8nt196xI4VfftnWpHNycwsZe9Fv\n6NL9CubPX+b2mGp76aPN/HPhZtYl5fDOhl089Moqj75eU2RQxVxrFu/6prGGIrQ661N63gafErTJ\nrkQMQAxo4ySrTUXQjZPbKUaCMR6SzYE8qifxO0cC8Zzcq9iBgahr6+JAoCNoMySLrfm8Z8ng8AQb\n9ocM8qc7+Mo/m300f1nY6SSSAhwU4sDw0nuqtFszgTl1PH4XsKjm+1hcRWePy8TVQnY71exoZfr1\n687qpf91+3VTUtIYPfZOsML82f/kiisubNR5Tz/7Jusrd6GPdXLr7c9y5ZUXemQiF8BPG9OwjdKh\nJ1SFOFn+U8bZTzoHDlPJ5z7H0C6SEAZ56xykZFVypxaHOMf7zWjCOFnc4zg7VErdNaJVmxMs0kQA\nZ66D7oI/zhygEE7M57IDu4DrgDgo152YBwIX1DwfCtq1khULCujtaHnrOA87c63HKBMaTgno0Nni\nyy1aHP51xKycv4SbFhr/Wl3NOrv97K8nhA9wFfDkaY8/AziklHUl6eM80qeuknE7IaWrAIMQgqbM\noDcMiRTU1F9uPk3TeeVfn3DgYCr3/2ZanTO/R/eJYevaPKpCnPhuNjG8T3QLXrFlcrGzh3IEsMda\njnbNyYIUendJ9uvVZGrVp7Q2G+MwlWy2lqILgwGOEPoS3KRJUgPtIeT8bEfr7lpTzOdAHlTE6Ojp\nwA6gH3AMrKsFw/TQOq/jj5nLjEgWz8pHHybBH9gOJOHqrj4AJgs4T28DREOZbPm6XwPJbEsmFeOc\nrtKeN+Bai/y9ne/25nCDpuYoKE03xs+PMX4nGwuvl5fVd+jlwBYp5YkdXoQQdwBTgItqHZeF6y/i\nuLiax9xOJeN2omfPBNasfJ/S0gomThzW6PNe+vtDHJiZRvrKbF55/5EGW8UFBSWkpKQxeHDPM477\n4xOv8f6ib6lKsLPg8uXs3Po5iYmnzs5+4YHRlNkcLF2WztBeUbz3zEV4w1FszLFmoQ2XCAPkZjhl\nIrAZiIWiFK1JyXilqYBfA4rRxkmwQuqvVewtrmCGHtPoFvYQQjlaYOPAq5UY/hIjFngUdBNwEPgS\n+BoCrWYu0TqS0MAkrGEyjHiHP9vWlbLNXIoWKzF64tobeQsYwcBOXOPKxwe09kBcA8uTGiudKhwh\nNXs0R+Pa9hFgDKTvq27x9ZW2RZz7AdMbgbknXl+Iy3BVdx8vpaz9C/gdMEcI8Rqu7ukegPuLOqCS\ncbsyZEjTdkoCiInpyLrVH571uMWLf+WqaX8AK3QK78D+3QsIDDyZqFav2UrVKDskgvmYmV27Dp2R\njH2sZt55+swqYis2ZHDto9/TKSqAte9dT2SE5zaYLy23861PDtq1EvrU9AZ0BJbjmhgFUAUylQbX\nzJ6uAp21pmL0+yQ1E5rR+kkO/W8lmXrjW9gmBNfrsRTiYJZMw3GRPJkoewBjYOjqEK7SGrejVTS+\nXCajmKB3YF1GMfvnl5NnaMhbcLUBZtd89QWywHe3icv0lpem1JEIq4AICblAERAO7IZQefJjKQc7\nOdiJwodYN9wEKIoQIhDX5K17aj38Bq4BoKU1m5+sk1I+IKXcK4SYB+wFdOAB6aHiHCoZKy1WVFTK\n1BmPo49wgh9krsjjiy+WcNdd15w45oapF3PkP1k4DmiIHMHIkY3fd/n1eduoGK2RdaSCdxfs5oqx\n3RiQ3BGTmwvaLl6byoynfqRC6FC76FQUiFIwfyHQO0qsWwVDnKF0PGPwtn5ZVGPuBHpwrQetoPWR\nfLI1k2QRxFV6NL6NnFPZAR+smHDopw4UCx0szZiX6YeZibIjsQ4/FsRk40io+by5Ddc48i8gyuAm\nPZZIziwDmkkVP/rkUyl04pz+XKFHNTju2xV/ZKGEclydgu8AVhAOmK7F4EQyz3KMI1YbogvIDIjX\n/LhJ69ysn09p3c7lbGopZSWuW+zaj9VbH1dK+SLwoqfjUslYabHNm/chogRMqHkgA/74+OvMmHEx\nQUGuVuyfnrqLXskJHDmSxfTpF52xjtru0Hnxg80cyCjmwWkDGDvk5JjhXVP68NNTaTitkhc/28zL\nn29mbP/OfPvKlXzx00EycysYNySWLrHBdI4Kqndbv4bkF9m4/qlFVE7XYQuwFtf0DgMsvwj6acHE\n7POlAifdCaRLE1tpwVgwil3XOyWXFIFjomRfdgVlKXqTJoUNdoawfnEJ+o0SfIE8sGwUDDKaXz5S\nnPjfmmRswbUqczeYSqizdZqHnY8tmWhTJERB+cZy8vfYuVfreqIgyemsmJihx/LFJ8cwdQIjQiLy\nBTc5OxOBD5so4UikDe1u6YrBCamzq3gx6xDSBKFYmOroRJdGrIWuRKcQjWAshJ+l8IjiJWqnCJWM\n2wqHQ2PfvqMkJ3fx2Gzm5oqPj3a1copxdfRkQZXTzuHDmSeKkgghmDat/jHgh19dzafb91OV6OT7\nh4+y8/ObSYxzTT667qLurJg1lcuf+JbKe3UQsOaDY0x+8Gu25uZR5a9j/Ad8fE0M6hnJyren4V+z\n5Z7TafDl0kMUlVUTGujLjoP5XDamKxNHnFp+b+32bNdOSF1wLRuaB/yPq6XZVfhzhTMKazNaZFsp\n5WefQgzA1y7QfpSuDjIzrqSfD9wATrMk6+VqKnES1Mg/ywlGR4ozNfa/UoklSGBUSC7Xo4hpQXdu\nNwIQ+cARXLWJANJcX5OMDnW+B1tMpWhjJNRsHOa8CgoPOFis5dOdAJIJrPMGozuBPKYncTizEhOC\nRALwqbn+Tt8ytLHy5CeUGYxxuMazZ0LJYZ0Pl2Zyn9YVieQnaz6ZRjX+ZhMXaBGMlGEIBHso42tL\nLuYwgbNUMsoZxmRD7QCltD4qGbcBhmEwatwdHDiSRnR4BHu2z2tVCbl37268/Pff8fjj/4uuG/gH\n+3LF1Rc0aa302l3ZVI1yQjewHDWx+1DhiWQMrmQurOLErkLSLFm3PRv9Meka7bkFHF0Mds0v4INv\n9vDgzIEA3PKXn/h+Vyqa2Ykjx4AR8NZXO1n6xnWMHuiqeVxWYefOvy6l0qGDhmtm8W0gvoIRu8K4\nnKZtlHDcfir4MTAPbYZrXNc0H1eX73ZcDc8w4FZcNzA1vc1NGYyy1Iwfl6NTXqITWdN13RJWTMzU\nY5k7JwsZCU4hIQ8m65GMoe4a1bqQnMj/EvgW9EDYPKCE7ftLGVQRwhXOumfG+2KiD8FnPO4jTa6l\nVrVVAyG4lmJ1AOmARStzyRF2HBe7ZruXFzlZ/m0BFcVORjrD+MaSi363RI+RUAkb3i6hW0UASarM\nZqvihQlcrY5Kxm1AQUEJu7YfQn/cSe6sIlJS0j1WBrO5Hn5oJg89MAPDMLBYmv5rdePknrw8bxNa\nnIE5TzCq/6kTkEb270S/mA7snl0IZugaGESKKAVNuhJoCGACPVBSYXNt1afrBvN/PITxpIQ1uCYk\nTQC9ymDdjuwTyTi7wEa1U3eNIn0MDAPTMfDbZ2IsEc1+T3Zby9EmyBMzhY2Lgc3ATUA68A2u3gQT\nmFdBLL4ENWN9bTAWgrFQjMYv5jzSLVWEGz6M1SLo0sSlV+BqHT+uJ3Ek24aEU1qsdenjDGLHz2Xo\nSdK161I68CBIK2gTJdteL2OUM5wOp42xO5EcpJJ8HARipjdBJ8aZRzrCSF9ehdZFupJvCbASGF/r\nAl0gx2xHGy5dNZEAAkG7RbL+jWK64ocpQkCMPPGcs7ckZ5NdJWOl1VHJuA2IjAxn0sXDWfHKJnoN\nTqB3727eDukU9zzwAh/+9zteefX3/OH3NzfrGn+6axh9u0VwNKuMaS90J6rDqWOBFouJVbOm8eOa\nVJxOyZSxCfxl1nrefn8nWqiB4z2DwDgLASVWbn3JNWvcbBaEhvlQfMjumpD1HfjYTFgOmJj8WJcT\n107uGsYD0wbw3S9HGNM3ho2LMgnVrYw1IhrdZVyXAKcZUVirtVuI6x++uGY+XwksAH9popsRwNV6\n9InuXB3JPsrJphoLJrriTwIB9Y7BFuFgliUdxwgD2QsKcjRSl9u4zt6pzpbn2Vgx0fMsZS8NJAJI\nIpAp1VH8+G4emlNCAieXgvmBOVhQYXdSeyuTHOx8YslEizDQkiSWfMGio3lc4YxiMKEkE8QEWwdW\nvV2I8AWHXbq6zWvP+zsIZpM4OdnsuDAw+YKwCZwlNTcI/oAB5gxBsPrYa3WaM8/jfKO2UGwjpJTk\n5xfTsWMYJlPr6tMJi5xAaWwFw4J7s2nNJ006t6VbKK7bkU1mbgXBAVaq7E7GD+tMROjJLvxft2dz\nwzOLKC1zcOOlyfTt1oGJI+Lo36P+jTjctYViGRrvWNJxdDfADKYDrgSmXwJ0AMsaQZdMf27TTl3i\n5cDgfWs6hcEOdBsQAsIJ/qUmbtHj6pxEtcCSze4x5cjaK8OOQvAcM3/UEt1aKawSnW+tuRzUKzGb\nBIMJ4VJnJGYERWi8Y01z1c6OAw6Dz1zBI3riiUpgDgxetxyh6moDatd+yQfr+4JbquPoWtOi1zAo\nRSeXauZbcuBCXOP6G0AchWBppnyYE1m7jHsxWN8SPKEnscxcwNbAUvS+EkuaoFO+L3do8fXe1Cj1\n8+QWijndPbO/eKdDaW1mC0WVjJUWW7BgOe98uIC///m3jBrVv0nnNjcZ7ztSRF6RjT6JEY1ed2wY\nksf/7xc+WbSfiDA/Pn72EkYOOHM9rjv3M65EZy8VSKAXQZShsdpaSJlJp48jmDEy/Ixx3g0Us7RL\nPnoBMJ2TE6n2QsBXJh7Vk85IJv/yOUL5XToc/3E2Ab8A5dDF4sc0LeasWxg21jvWNPIG2zEmAQ4Q\nX0OHTCvXa7FE48t+yllgzkGawWwIZuqxp+wAtZkSfuqW70rYp9sISUsDuFU7c7vObKpZZM7lmNmO\nEQJyNFBZ83NOwtVqLgTrd4LRxWEMlKEIoAAHOdgJwUp/glUibiZPJuPcZM8k4+iUtpOMVX+N0mLT\npl3U4EzpkpJyNm/ey6hR/U8sdWouKSW3PbeEL5alQKjAUiaY9+LlXDk+8aznvvn5Dmat3I1thk5B\nTjWX/u4b0n+4k5CgM9fNuksgFoYTRiU6P5uK0IVkihbd4BKbIz429GhcE7tq/1h9QF8GGUVVZ1TW\nCsZMeWFNMt6Hq8TkjUAEZKyp5uP1mfxOS2hxCzkfO4UWB8ZluJZo+YGcCgX/pzHLksZlehTDCeUp\nZ3fKnToHqWCNTxE7nWWMdoYThS+p1iq0PvU0ApIha2ndFbhi8GOUM4JvwnNw3l9rpnUSrnL/yyHY\nZGaQI5Td1nLWmUuQEsIMKzO12CatC1fOMdVNrVbPK/XTdZ0vv1zGnj2Hm30NTdPpP+QGrrv7MYaN\nubVJdbHrMmfRAT5fn4L+sES/16D6Bicz/7SYkrKzF4f/evVhbCW6q6KUHQiQHM4obVE8jfWxNZNN\nA0vYOrKU9yzp6A3Mm47SfRF51PnXKcyyzr2Nxjk6YP1RQB6u+tTjcZWa9AU5Ccp9dHJxtOhnkEiK\n0MAiT43NF5BgXAeL/PJ435qBhsFiax5LOhVw+Eob2y8s47+WdI5Rjb9hQlTW8yKV4HPa1No87Kyn\nmK2Uss1SijZantqM6Fzz80ZBoh7AZksJRZdraE9I9CclBZMdfGTNwHmO9sxVlOZQybgdk1KSkpJG\nZWVVnc//7YX3uP0PzzNizO0UF9dbcL1BJSXl5BwrpOLiKg7uzcDh0FoSMpv25uLsX1PkAiAeRIjg\nSNbJpLrnUCFL16Vjq9JIzy6nqNTV0tq0JxcuwTWbeRlUFGhs2J3TongaQ8MgT3NgXAnyYrCbDSqo\nf7OFEUYYvpkCUjm1JP0RoFjUWXCkF0FcXNkR33dNiFROzhorApaAZkhWmQvIO2O9UOMcxca/fVKZ\n75ONVo1rOdki17X5lv9n77zD46qurv87d+7MqHdLsmTLso27cW8Y4wIGYxtM7wECgQABQgm8qeQl\nkI8kLwEChN4hNGPHgCnGvRdccO9NvXdNveV8fxx1ybZcRJ31PHqw5s7cOXfQ3H323muvpTL4voAf\ncnv7ecJ5kL3So0Q7BoGcBMZ5kkXOUgZbMejrBW3tDRyrBUMNJVpiI5mtF/CyO5sFQ0r48rRiDuCF\n/DYWKIEwyNcCWMkShqHubhowGoKxNofxntC1h9DxEFrH/PyQECpT/4Rxy+2P8t6H84iNjmbnlpkk\nJDR3+BFNhJhOFJ06xfPggzfwxjufct/fr8XtPrlSYUZKNM6NAqPOhYpaMKtsUuvY16/N2c49Ty3H\nES8QVRAwLLAFr/7pHAI+NcdMOOAGuxs88NJKnLrGLy5pvzxnPTyYbKGGIBa9iDqiVvUePIgIkLNQ\npWebozJ6o9G5w8rkU7uAA6/5IVrFFEctXG2lHVEOcpSMZ5gZx2aziq8WlChm8yKUGMclsCfPw4HV\nXi43Oh+TKd0UhQSUccalUulzbwW+RCn1RgF7UXPGh1BjSJPBOFCXPR9EeSwDpEOZFiSdMHoHItn7\npkepdqUD1SAWgGMPbHVVswcPCQGdfUlezJsluNQoFIXAa8BYGq0fDWAjaE5IMp1URrex4YsGX2nI\nLzmE7y9CwfgnjI8/XYr/yiCOL71s27afCROGNzv+0B9vYdDAXvTr1534+BOXWHzs0Tt57NE7T3a5\nANx2+em8OncHhz+sJtDJIny3zv3XDyUtWQWXv72zAe8lpprtfQ5liBYB9zy5jDuvHcQrr+/A5zDV\nXPIM8O43eXnujuMOxtWYvKhnEehrYcfAqg0VXBxMYQCtPycTiSMBzHQgF5JxtSIRWUi8WISjoaMR\nhY6tC5yxAmOIRBSA2CMowMcBlGJVP6JaqW3pCEYQBx7J51+VIGfQMA4ke4PRQ/LxO4U80AYJ7EhY\noY7xFcIAACAASURBVJdhjpcq861FqWD9gkb97nHAR8Bs1OddZ7nJhcAyGoKxtlmVkQWCy8zOrC2o\nYPVbFXhMC02A1MAcIakYYILPpPCTgKpkNN2/parr0V4DeyJqs7gehAEx5ToTSWTfQa9aZ/1+owrs\nHMg8gZnrEL4dnCo/4x8yQsH4J4zfP3gTv/vdvxk4ukebxg26rh+VmFWPHTsOcPWNfyAvt4TLLpnE\nC8/+/oSEP9qDyAgnG96+mrfn7qa43Muoa1I4/8xMQDkuZaRGk72vBtOSUI0qZ3vA7XLw1P3jOWNA\nKjc8vADjDjVuJMqgU+zxq5ktc5ThG2Ehz1e/G/0kn71VTIzpZI1eQY3DpE8gipHE0Z8o1hS5KC81\nECZMNRsVvSSSFVo5q7QKLE1ZNo6QsaRZYeTG+TFul+BQAl3WWsn85WUqE+wEq8vKGWskcLbdekyr\nF1E4KMVsSZTqBlakpLAq0G7XqTyHH1kvprYLNSPdVJRMQ/Vss1BjR0tRG4AuKL3s2QKtDMJKHEyy\nkupeIhgrExhrJGBg84Izi/ILDTi9xXnj2lhQEvTYEoE2X1CBQZjUGGBFMZQ43GicacWz+rkKzJFS\nzRavF0yyEk9qZjyEEDoaob/O7wn27s0iKSmuVam4I/HA/dfzm/t+dlID97Ztc86UOygaWg5nwrvz\n5tHt8TT+9PtfAEpT+857/8HGb3bx59/eysUXTzzpdUeEO7n9ysa7dnZBDVPunsPB7GqEgD7d4jFK\nbfqdFc/n7xwmItLJfx6fghCCq87vw/rdxbz4xjb0RA29QvDk6+OPew3VDgOZ1uSBVPBbNm+5cjAn\nAvFQsDHA5qxqfmlkcJvRjUrDIBK9mTPTCq2cFQnlGFdJpYldCetnVxFb6MEYrgJxA4YAC4H7gY/A\nHAarN1ZwejCGTi2YwhoCKWndZpCAzXFxqmOlk8oSE9JolAttiXBU2fpZVNXhl8AeSNFcDN8WRyQO\n+hDZZom9AoMa3VQ2jU0RBuxGlaSbrn8bdLHDmNjGJgRgkp1EL18k21fWICQMkjEnpdcdQscjRKYO\nBePvBTZv3sOIUdfTNTOFQ3vnfqvvfbLKN1VVtVSUV8MI9btvQIA1X29tOP7yy//l3UVf4hsW4Jrr\n/0Bh7nxiY9vfr2wPLn5wLvu6VmFfK6EMDr1TzcqXr2BI307YtkSI5tf5z3vP4oZp/Sgq8zJiQDLx\nMcd/o+5hRHJ4tQ+jj+pnipWAE8wbUBkhYPaVVL1psC2rmuHEkdCGHORKrQLjatlo6BYH5jWS8icM\ntGKaM6fLUV7IESj1rtfA7i/Zt7mWTi1kO6PRSRBOSrYGletSPQ6A06+R2oYN4pEwNhhP/gI/Rnep\nxoj+gzK7aHo5W1Bl7MnAq8BycKwDp0Oj0OFnpBV3xF63FwsiaZtOugIVlE9HKWktA7wcc0SrC+F0\nsUNl6R8Kfmhkq45AKBh/DxAbG0VYuItumZ2/66UcN+LioknpnEjeqmLs7pKILWFMunNEw3G/P4jt\ntCFKsbctSzkiLFu2kb17s7n69CBRESdO6pJSsm1nGfbv6ghdScBpsHRDLqf3SsThaPtbPqh386yq\npNzLVX/8krWbC3E6BZcYqfQ4ij3faBlHQamfHY/XoOmCCMuBR5iYTbUqBBiDJAfzvQw3WtdbPZjY\nDtnCWRWIAGe0wN4KdoZUJd9S4FNgTN1zElCCG16OaA5xaTCVNz/PxTosMXtKHDmgfaP6tdpx5MZ9\niGKcN4Glz5Qhe6DuGq+iAm80ynb9G+AmVFY8DMRqEGmC3OF+8ir9bFtTw/RAMkNoXvkxsVmol2JU\nyOZ9XoB4VLa8A5iLCv6DQI+HmOrQrSuEHxdCf9HfA3Tvnk51xfIO02fdufMg9/32CYYO6svf/nrX\nKX0fIQRL5r/ETbc9TNaSQq668jzuu+fahuO3334Zi1esZ8uiffz5yVtISIhl5crNTL3415AKH3bq\nxIJ/X3pS75/UKZyiLC+cBgTBd9Dkf7av5K+vr+erf1/M8P7Hdl2a8cBnbHIVY9xl48+H9z/I45dm\nBlu0ajY4qgiYNmlON+cHk+lKOBqCS83OTCEZw7TRETzpOAg10FQK2pEP8WbbAh/hOFRptwqaxagg\nWB6JLgXmVyhDiWhUubbeECEHiARxgCNqT3cmjLvMTDZsrSR/V4BOpouRdlyD4EgQGy8W0ejHJHNN\nsBNJs8P44FAe1nmolH1x3doHoghd9aZOxUBnMH+uNkgS1VP/4pViBpjRzTYP31BNUWpAlcA/AS6j\n0QGqO7AaVfKOQm229qkNRX+ikchTKvMZwneIEIErFIy/L+hIvelf3vX/WGVsYdXrW5gy+QwmTRpx\n7BcdB3r27MLyha+2eSwqKoIvPnmm2WP79+cgOoG3f4C9GyqPeu68olpu+Mt8dh8u55yRGbz4u0lE\nhDcPbu89OoUZv5mLo4tGbW4QOxbMX0vKt/u59LefkTX35qO+R9CwWL+5CPsPdT3a00D0hDkHCilO\nD2JOlxAHeTsDvP15LjcbXRt6kJE4AAcf6HnIKBSjeAYquG4DxxbBSNkWC0lltEOJ4Zv/VmNeLVXf\nNQjapyAFBC6Wqjy7CDUilFn3wkPqfRxeuNpOr1tD24hGZ5JMgiDk4WeDqKRWmuQLP6UYaA7QpGCc\nFc+EVil6c/QikjOtBFZ9VYGeJjDLbaQN9uk0BuKgWp+cTvPGdIqaBy8oDzRzktrhqsEYU8fU/gL4\nF4oEVgV6KWiaIPh03fiTF1wVgslmEm+6cigMBnDqgsEyBretsVGvwrAlvUUk081kIkO3txB+QAj9\ntf4E0KdXNzbP24vttUlP/+6N1a+88lxmfbKQnTsO8eIfRh31udPu+4SdieVYF0lmLdtH2JMOXv5j\nc4b3pFFd2T3rBjbuKuamRxZQcWFABYJeUDj32EIPTl3D5dbwl1uKRGWDLJYUagHs62jsjQ4BwydZ\nsriMa430hteb2OyxPMg7gFXAy0AAUp1uLjRTjqoJPcVKxptnseOJWhXQqkHqasyH0+ovEBWo30b1\nTV2gOQCHYJ/w0NOKOGaG+KWjmI3OSsxEVDbbF9gPVgCsZMmSwnJ22rX83OjaYGPYFs62kxhux1KQ\nHSARJxUYzHy7ADlAYsWC9jXYOkozuilssP2yGXkNIMJ2qGqCjtrETAS2gPuAwBYQnFFnQZkDFIG5\nUjLfVYp5oYR+EKyWbFhQhcwCbgAiYdcXtew/4CFG6CRbbs4yE0IEru85QgSuUDD+SeDFf/+BGV+M\np1evDHp3kCD78SAiIozP5jwNHN0o4m+vr2fb7jJFGpoA/jEWy1bkNXtOdW2AP72whu2Hy5kyMoNL\nJvXk/UV78Y0ycW/TGD+mteFASwgheObBCdz79HKM/jYcksRW61R3NQm6WtCRe0LBkubayRoCTYDl\nQRkW9ICI/2jcHjz2Z60jsISEwSgHoziQ0cAcFFmpXgN6LOAG7UuwLwB7EOCVbHqpiu5VEfQ9iohH\nDj42uaswp6M8ge9E+TYPBc6qO78JRV8E+WBbPjcZXY+65licDRuMTri528xk25ZqvFh87arCHidV\nebmPuh4ksBoMU/KKlkV/LZqpZjLhOBhjxrNvmQejm1SlasC5XRArnJSMDzaOOg1QP/ZOsMfLxscT\nQF4BvIjqOVeCzIbgRElpF4OybIN9yz1cGUyjV8jDOITvMUIctp8AnE6diy6aSFJSHINGXE1Y5Fj+\n8NBz3/Wy2sS+rEoWrs3Gsmz+8tI61S8sRVnxbdEY1rsxs5dSct7dH/PKju0sTcvl0TlfExmuc8fY\ngQzZ2omf9erLrL9Pa9f73nLpQOY/fQl/HX0GFxSkcLGViiyBVkLQRbTKdDUE58pOOF4Cx9vgeFdw\ngXnsPjWoOeO9lkcF8QwUAUqgguTOJk+0QV8P0qYxEEWAcbqkkAA2ErsNuTSJZJtWgzFSwn4U672w\n7rrG03gH0IFpkKv5KDlODetYnIwjETSh5ruHAGegAuRbwL9RLlK9wbwHtg+s4S1nLhJJBuFM9ycT\n9rqG8+8C/WnBiNJYvJqF7NfGm5UDLR/XUJl+FkqQ5ArU5iUD5DgwrpR86ixChrSpv7cQmuiQnx8S\nQpnxTwhP/utddmmHMG+zeOqZd7n91svIyGhtIfhdYfu+Msbc9CEiEq6d0IcxQzuzfk4RAY+Fc47g\nzOFpvPDbRsPe0gofW3aXEnjABg28nUw+mLWPovm3ntD7jx3SmbFDOvPIUyWUESAy6KBqgYk8B/VN\nKQbmQXqw+ViQRJLt8CEiwXSC7pbk2H76W+1TLRPQOuhLwI8KYuHgXCdIKnVSJgyCuRK6Ahbo+2CP\ns5blVhkAvR2RzDBSicDBdqr5xFGkpEPr5otxACWowN/yXqWDnQqlWcFWc8vtwQatUpX5D6NY34OB\nXNQo1kKUlGYs2DOg/ECQPMNPF8IZQiynmzFUmyaROHChsVf3UFtT1zZoCjdKzCWxxeNVNJK8Mlsc\n6wl+h0WFYbQaL6uHD4sNoop83U+GEc5wYnGFcpVvDaHRplAw/kkhPi4avUbHzLfAhvDwjrMOPBHs\nOFCGSALPAJM1OwrZ8ObVrN5cQP8eCSQnth4zigx3Ii2pbsTxQCnExZzcNUkpmesoYoujGi0F5CZg\nEypj9QLDYMvaGqYaKQ2vKSHIPqcH8w7UrLEH1j1ZyXgSj9p/BTUv21eLYteSWuwLUMHEBscSQS8z\nAjkfAsJmQDCaIcRwEC+z3i5AdAPKAA8UnR7APledb+98D+9tz+NSI5WPnUVK1zkIzATOBdahMuJt\nbSzGBlkKcSdwW5BIpYU9BqVbHYMqO2eiStZVQP+6J2sgEqG6ptEsw4FoZis5MhDHosWlqnxd/xFa\nqDvWfOAqGrP6ImAH6OFgGuo6msVRG2xLHnEELIDNi84sPD0tzN6Sfds9bMqp4jajG3qIrR3Ct4RQ\nMP4J4d57rmX/4Vw2bdnNH9+6mU6d4o/9olOELVv2smLFN/Tu3Y3zzhvT6rjHa7B1XympRBLcavH0\nQ+NxOR1MHHnknm9EuJN/3n8Wv31uFa7OGmaBzatPH1u+82j4cmUWW6OqMe+QasTmE1Tfsw9qHjgI\nxurm5c4ANlo4NMSSCNAcgqBlHzMYA0wzUyjcGqDmsImVIXEcFMR6dE6zI+lqh5PSRKCjD1HcYXQj\nd79f2RSGl6ggXhdn7AugaFeA/YYXR6rA7Fy31tNQQTIWlaX6UUIdg+tOLIFV4DTEcQmC1EMgOE2P\nZH+hBzkR+AC1sfDW/fcqGu82tWDmKmGOI2Ekcewt9JD7nI/gKGU6oa8G0wdUoErgfYBKELtgsBnN\nVk+N+n+wiQYRGgDWgy2OrDq2hSq8GZZitAPmUEnVywZ7CmoZcISxsRBOLTpqrPOHhFAw/gnB7Xbx\nyvN/+tbfd9681Vx29YPYfSWObAf33noNf/3Lr5o9554nl/Hutt3gEvx8aD8mjTo6iaged109mHPH\nZHAor4rBvTuxeXcJMRNfwFNjEB/vZuFzlzCkT/v6twBzlu3HGF0XiG0gBViDIhDZ4PgSemgRKkur\nQwpunDUawZUWsg9oGyFO6kd1ZmqKSBzcaWRysMxLaVmAfbqXbN3HVz1KIBv6m1FcbKY2MKYTcJGA\niyy8aBECtCabAwdoEYJwv4ZVpBTJiFdjnN3NCNKL3ZQQZJfuUaNE61EZbBZQATOCKQgEEskCUcI3\nWjVCCEZZsYyXiQ1iITaSw/goJkA8Tk4jkhlGCm9tyKE6zFQ+yhWSi63OBLD4cmYJ5kiJdKqS+1g7\nnpijfD4OBD8z09lf7mHbwhokUISfkgmGMqY4CGQDnUHbB9uowb4cJQ6yDDiAGofKAQpA6w4b9lYx\nUbasb0OxI4jRo8lnKCCYKSktODn/5xBCOB6EgvEPDAcO5HLh5fcRHubm8zn/IjX16LOh3wc8/LeX\n8J4XUAGtGh7/v7d59OE7mu2GC8u9BJNtsKGg7EjO822jT2Y8fTLj2bKnhIse/AzzUhvSoXxrgDNu\n/ojCebcQG92+bC85LgLtMNgm8D4qmPmBF0DYkKlHcJnRvM/uQuNmoytzlhdSvtwgVbq5xEg9LpUr\nDUEMOpup4oDDqwhcA4Bw2PlcLYOqvfRswQZOIwxZJZW/b71Odh7IaklfoggaNl88V4wUkKq5uczq\nTERdpp5v+vmQPGqKLexSVCnbht16LSmmm/laCfsdXuVTXAxL/eVIP0ySSXixeNOZQ2WkgdVD4sgV\nhFU4uMnoyp1GJvlGgECNTVfC0BBk4WNyIInS1UGkgJ5WBFWYrKGC/kQdcfRLQ9CbKHqbUfiw+If7\ngMrwBYphX2deYeeADKBGpPoAU1Bl+DJUn/pSsA7BwcMeJgZaB+NMK4Itm6vVvLNDfRb6Ntjn9LBd\nq6GLFcYUsxNh7ahyhHCCCPWMOz4YCyHiUOJ5A1DFsJuAfcCHqAnCw8CVUsqjqz/8CPHUv95FSsn9\n9/2s3a957vmZ7HYeRvc4ePfdefzmN+1/7fFCSolpWggBhmESHn5is5q6rjcayRugtSFR+dQ94yl8\nyIMQgid+d9YJvc9HC/ZjDreVqxDAGAhus1i9pYCp4zLbdY5bLxnIE29sJOivIz3NAGpBXwyXVXam\nn9F22TIBF78IZpzQuiWSzx3FbNarMTPqgutqVIaXAkYvSdZGX6tg7ETjIjOFOa8XKTaxBPbAxWYq\nTjSGyziGyFiC2IRbzQNJCm6SpAtPjA97NKpcHYSdm2rZvbwWy0KV5YtQDk21sKaogklWEnOdRZQO\nCjb0uC0kxgqTmcvzuc3o1uAGVUKQt/QcjFgJTpClkolmIv/VC7H7AUKyeGcpV5tpra6tKWwkG6lS\n5K0ioKlqrARZCKITSLdaJ26al6lB9dYJUoC/1cxxP6L4pjKc7Kd9yExgv0QakDfOj8yA8k1B8nf7\n+aXRrd22kyGEcLz4NjLjp4EvpJSXCyF0lCT8H4EFUsr/E0L8Fvhd3c9PBoFAkPvvewqAX91xBWFh\n7cvczjt3DC+8PAshBGedNaTD1rdu3XamXng3VRUenOEObEPy8ex/Mm3auOM+1+N/vYdzp92J47CG\nmW3x97+3luTs1S2ODW9fc1JrbqvtpGvacQkKZKbHcKPZlXd35OINtxVZKA5ML6xxVNDHijqujLc9\n2Ew1W+KqMSdLVTq+CsV2NlFl5KUQfYSsbAAxdDXD2bW9FlCBJaZJpulAtNm33kQV2cl+zF/QeBdw\nqVEg6yBq83Q26tu6HciFoCYxLJu9di32ZJo1YeVYKFoRYBXlnE404TiY6cyn9lyrUcLzMMx/rxQu\noWE8yTpd8t5HeZwTTGQk8ar/jmjI4NeLShbrpQQctuo/f4Xqe3dHtQpWgfCAVgPWGFTpuoTmLGwD\n+BoCg2ze+CaH281uzVjVDgQ/M9LJMnwUbw1ShcG6PpXICap0bXWDin8ZFBrtt500kWhwyv9WfqwI\ntYw7OBgLIWKBs6SUNwJIKU2gSggxA+WACmoScSk/sWDsdruYPfv/ANodiAHOP38sh/Z9iq7rJCW1\nLbN4KvDz2x6m4qwa6AOBF2zoBu/NnHdCwbikpIK0rp1wCgf/986vmT79xDLfY+HK83rx1Pvf4O2q\n7P7EVogPuhk7+PgMODrjRjiEUr4ajgo6fsh/PcCG4kpGcWqJbytd5RhTpepNT0YFYlDfzjNQSlkH\nVGDIx89GRxWmsBlsxtKDCGJwMpp4bCRZ+MjBTxphzdjJLbHaVYExWba+A+xT18ovUN/KjTSOEQko\nJqD+3fJP1gG2GxbopSwIlKKhSFM03S92RQX5Pk0eOw0sCxYml7G4shxpq4pEZy2M3mYkK6LKMa6p\nEwQJoKoF76MCshcIU2XvYVYsn75XhKHbWK+hlLx6oOaSV6KC81QwnZJV6yq40EqhKQSCTCLIJIJ1\nVDS/Pg2EU2C1Y065FpPZzgIOmz4cmmAEsZxndQoF5WPghzYT3BHo6My4O1AihHgDVQjbCNwLpEgp\ni+qeU4SiyfzkcOmlZx/7SW3g2+gT+/0BlRU5QXML4oujue/u6477PLm5RVx9/R/wXRBAKxL8z5+e\nYcqUM3j++Y/YvH0vY9O93Hxx/1PCpjy9VxJzn7yQW/+2iOIyH/1PS+C9188nJur42MFZ+DCi7Oal\nzjAwp0rWvF/JqOCpDcaVpqlsF4toPSML0BuKDgfZYVXzsbsI8wyJdMHOVbWM9yVwlp1IMQHeceYS\niLIhDuxc6C+juMhMbbO0Whk0VJOoJbajrnstKsu8CzW/awJL4c11ueps+2geVHNQQXwqMARsP/Bf\nVCZ7Yd1zBCrIZaHuDPWviwS7FuwLpWpmWZC71k/ucj9cSWM/3I0az8que70E11rBGVY8m/QqTCmR\nQUh3uMlfFECur1v7CJS6mQZ2fzi40duMgNcSpxHJwp2lahSrK4jN4KxuH8v8PWcehcMCyHPA9Ek2\nflBFVKHOOJlwzNeG8NNGRwdjHRgG3CWlXC+E+BctMmAppRRCtLnlfPjhlxr+PXHicCZOPLUGByHA\nkiUb2L59PxdeOJ7MzLSGx595/EGuuu73CJdg2OC+LPzieQ4dyicvr5j09Pazk/PyStBjHdAL7GRJ\n9ltFXPWzP/DlN6vw9Qzw4Tyd7QdLeeo3E1q91rYlOw+UEzQtBvRMwO069p/rpFFd2T/n5+1eX1vw\nYKlxppaIA588yl38KKjBZIOookwLEGnpVDkNHGgMMWKI0DVqSi2V7RVBC5dBHLmQYDv5wlmCca1s\nCKJGf8myZ8sZTixvOXPxTLNUJiqAAOx8p5ao3BJKnQb7LQ+6JhgmY5lsdcLhEJg+SavJHQPFJF+K\n0nquV9nUgXPA2F6Xpc5Wv5MJFKCCblfUtx2U0MfFKOOHOu9jsQbCTA3jfYk5so4stRFVCYilUVlM\nQ1UkltPgDd0AAfQGsVSx2geaUbznzMcaLWG0em3epoDKoM+hcba58X8E4fLobKFEXFxnpvPxfwup\ntSw6OVxcYXQ+pghINQbFBLHPQ12bC4ypkvX/qWRc8IcXjA/h5TDH1nY/FQiJfnR8MM4FcqWU6+t+\nnwX8HigUQqRKKQuFEJ1R2kat8PDDt3Xw8joWgUCQ8vJqOnc+eibr8/lZsGAd06adqchOpwiffrqM\nm297hEGDe/HFx0+3Koe//8FX3HL3o1jdbR565EV2b5vVkHVfeOF4cg9/QVlZFRkZqUy54C7Wb96J\n7bd59C938MD917drDUOG9CY9PpncD4qR1ZIbr5/Oyy/PwfiNCU7w9jd5/t/bePL+8c2yY5/f5Iyb\nP2R7djkOlyAtKpKVr1xBekrbGszf7Cpm7bZCemXEMXnMiRGp6tGFMOxcVKbXtEW4C7oeZTb2SKjE\n4CU9i0B/G7sMVW4dDdiwd1UtnWqd+BbamCOkmgFOozEIHgRtl6C/jGaJVdZYwgaIAy1SsK26BiPe\nVlrT9XCDOV2y5o1KxDCwx0PQL9nwSRVGrqSPiGTnplpkyz1QJso/OIgibjWFQL1/JirozoQwNAJu\nGzkIZWLRFG51jdrj6rWJmpOLrFR0S/DaumyMfsD1qMDZcpKtvqXrgVay26UgoiDb61PM80GogF+P\ns9T6xXyQfWlk6hrgXCLaVdnIJIJ7gz3UL+3cf6mRMGhWzbZ/uH3j7kTQvYmn9zLKv8PV/PjRofsR\nKWUhkCOE6F330GQarcJvrHvsRpRj648OZ51zK127TWPZso1Hfd6HHy7goot+w1dfrT2l7//HR5+n\nbEwVX+/YwapVW1od/++ni/GO8ROYHkQmSzZs2NXseEJCLL16ZfDZZyvYeGgX3jv8+G8N8oc/PofX\n6291vrbgdrvYsPodXn/0z3zyzhM89uid6kC9+JIJDkfrm9X/vrSGrUYZ9r0S4y6bnG41/PzR+W2+\nxwfz9jDutlk8MH8Flzz0Gf/z9Ip2re1IiMPJIDsG5+tC2RVWAKvBuVgw2Tj+FsEKRzn+kTb2QNR1\n3w6MBEaD8StJsTtIYp4LfTWqP/ssiknxHPAeXGp2JgEnEQ6HKvHWowJsr1Jclm2ZcflAhoM9BZWp\nJoB5hWQz1ZxpJqCvEGpetykGoB5z0HqLLIE8FMu6Jzgs+FWwG3F+J1o5sAea3q/FOuiqh3Em8TiE\noMpl8oaey+fOYs42k3DuF2q7rqFmKppCBy0CxFc0lwrNB/aB/UulOY2TRuGSphgMwguu54Qqua8C\n57OCnuWRDOogIY9odNIJQ/sMtYkoBudnglFGx3E7fjQQomN+fkD4NtjUdwPvCiFcqFH8m1Bf9ZlC\niF9QN9r0LazjO0D7hOkvu+xsHA6NyZOPbid4vLjyknPZ91g24TFuBg/u3er41Mlj+fKPq/CVB7AL\nJEOH9mnjLGqsCSfqplnHCbLtlmLKR0ZkZDhXXNGYuvzilot45/0v8HXzE7bbwR9vHdmqZ7xuV5HK\n9OqIwPZg2DqzrM3zP/DMSnyXmqp864Gnn9nCQ7eMJjrShWnaLFibTUGJh7OGpdOrW/tujBdYyaQU\nu1j7fiU+aZFBOOeYSc3UsNqLfN2P7AnsRpWRm37rwsAcBr1XRZBaksAX1cV4dAv8oFnQS0bSry41\nnGYkM+e9QszRqmfsXCOYaCUqf+BDqAyuKXH6IKr8W//RFgKHVfk/EgfXmul8+F4+didJsLdEqwVt\nmyDDCqNEBKmZbcF1KGlLA1hct/ZUEAsgUXMRYzn5pZHB2v2VbHVUUfm8id5NIGrAVa6RZoWxNqES\nY4JUil95kKP7KbQDXOJL5ZuvqqgWJqV2ECsdVaq2QKyFsFqNmN1Oyp8OEhxQJ3t6ANWDXo1S2gLq\nOWXNEIAodKaXJbNzYQ1I6GdF0YeoY9pNngyuMdKYu72IPVtrcWoaZ9jxjDmCn3UIITSFkPL76WQi\nhJBSbviul3FSaG+ZuiNx+HAef/l/r7JwyTpuun4Gj/zv7c2Of/zxUrZt289ll51N//492jyH5tSU\n4gAAIABJREFU1+tn1LgbyK4oxKq1uePmy/nnP+494TVJKZk9exG7dh1meGJ+mzPAtz22iDcO7cSc\nKkGAWA8jCpJZ98bVrZ7b6dyXKbvcr8qqBrie0Miffwsen8FZt86iQvNjJ0isfZJbLhrA0w9MOCph\n7JHB80742trCV1ox6wZXYrtQpLjxzY9rn8HEDYmMJxEbyddUkqf7STPDGEVcMwJWIQE2aYpNPciK\nIbOujPiGM4fcnn6sqVIFz4PgmAlYYP0S5bN8ECWaUQruAo0bzC6k4GYPtRQRwIVGX6JIwoVdP/tM\nNY4YsD0QK3VqbJOgJYlz6AyxFJu7K2EIBAFsNlDJIbwk4uJM4nlWP4wxva78fi5qBrwKWACJuU7u\nMjIRCPLx84mrkFIriAS6auFcbKQSh84hfPzHkYt9Jkr7eh6qhTANlY3vAX5GY51PguNDwZl74hkv\nE5irF7Nd1mDbkhhNZ6AVTR+i6EoYFpIvHSXsctTiQjAlmNyw+QmhOR5mL1LKU76TEUJIz8TWycKp\nQOTSjllzRyAUjH/kmD17ETc+8DCec31EfBzGsi9eZsSIlqyWYyMQCLJ69Vbi4qIYOrTvKVvfkfyM\nyyp9jPr5h5RqPnCDXqix4tXL6d+ztYLSo69+zT9mbcA72CT8oM7ZXbow96kZnPOr/7LclYdVNy+K\nDyLf1Pnof6dx/pmZR1zTqQ7GtZi85MzCm2Rh1aDK1PX3+wrQnxfcYXQj8QSckuoRxGaeo4StVGNL\nSbSuMyXYCb+wmSuKkKmomlT9tNMuiJjt4Ddmj6MKWfixKMMgEgdxOFkrKliolSK6gx0j0fYJ4v1O\nphid+EgvwOomMTIlzoMCLUdgumysGNSYWNPCiwniabippqvK7OvgxUKDZmpXBfh52Z2NPAPVH34V\nuK/uWkzgXVRVYCSggeNrSMh3cYuRwXxHCZvTqrCcqBJ7AtAZnHsFSQEXSbaLXV1qMS9Umbc+U3BD\noEuzNYWg0JHB2Ht221W5k0XE4j0/mGAcksP8kUMI0WifJ09ckN3tdjFp0rfHZk+MC2fb+9excF0O\nQcNiwvB0OiW0dm4C+OPNI5CmZNO+EibMSOeuqwfhD5gs/zoP68Emm81w8Aw1+c9Xe44ajE81otC5\ny+jOjoIavtGqyH/GjxwIwgKxUzDZTGpXIM7CRylB4nHSnfBm5VYXGjOsFKaTjInEFRTquFRzzOVn\nGzQbO+4HZozN3PIiyt0G4bbGcCOWXkQ2O28YDtLrAuNealkUUYp5i6R+1NqyJSWLg7z7dR72dBr6\nt8ZZEjZJZU5RTqMqWj10kIPgwCpPs8AX0YZASTY+RA/UqFIZikTmbDwP16FGsr6ECEujZyCCvnUy\nKZtkFbIU1fLoC+wFDoNxi6R4RYDCbQHkJSj2fBKYZ0p2LqkhQ4aCcQjfLkLB+EcCn8/P1q376d+/\nO9HRjdKCF188kRuWTmPegjXcfN8Mhg9vy7H9+4mIcCczJrZdOm+Kux9fxtsLdyMNyVlDOuN0OpCG\nhSYElt288iMscLYhx9nRcKMxjFiG2bGUBoPs2VSLhqAfUcQdRZyjHl84ivkmrEr1xXOhrzeKS5uY\nR9TDgWiV6dpI2kr0guGSrRnV2GcAtXBwlZdetZFcbnZukwG8xFWmxEmakpE1kGeD3ELrcbAhwCJU\nT9eglVCI5qFdnsEx6OgVguDP6xTKqlAbzPol6iji2ecQdNjsHuBhT6kHrRSkA1WJqB8XGwUsAb4E\n63KUhnVB49pFNbiOMfoUwqnHD4xr1SEIBeMfAQzDZOjo68gtKybOFc3ubbOIilJZpKZpPP/M77/1\nNS1cuI6ZsxfQt3cmd991NU7nkf/Udh4oY/v+Mvr3SGRgr9Zl6GPh7c9247nJgCp46JW1XH1eHyLD\nnYwZmsqahQWY05QFH9UQvknnpsePv0wPSoN5jaggy+klxnIy0UpstzNTUyThIoljz51aSPbj4SBe\nNuqVWHeiWNFB2P18LfsqPfRuR3+zjxHF+g2V2OlNHqwASsC+j4ZAbQyR7HvJw47SGk4nptV5is2A\n6jm3hIYyZMinuZCIhioLF6PUxSY2OVYJ2g7RLovCXkQRXubA2GQiLwLeQJHB6tW9JGouOhzMewBH\n3QbsfRQ7vcXcNmcCTwAG6IkCOUdiVYKoAPdmjRGtXhBCCB2PUDD+DmHbNkKIk1afys0t4vDhfAL3\nGfAK7Np1iJEjB5yiVR4/Fi5cx4wr78c3MkD4Yjcr127h/ruvo3//7iQkNL/Rvf3ZLu74xxL0bgIz\nW/L0veO55dKB7X4vKaXK/D4BDPDHWoz9xUwqqgKIaLBKJK49GmFpOsFciz/dOpLxw9OPed5W74Nk\ntl7AvhQPxmiJlge7N9byKzOTyHa6+SzVSlkpKhDAeKmUs46ESgzecObgi7MxM2zsbOBtFFEpAqx4\nyZLaMg7YXobZsc1Y3rWYbKWaCs0g2XYz2o5j5/YafH4bc7BUgXg5ShSjacbsBGOi5OtPKzk92DoY\nOzUNq9amTXnmaprrQYNyUSoBrkH5G+cDA0CUg75WMMlMbFdVQEfwCyODr9YXs2+9Bx2B/3MbewNK\nFOQwqhR+A83Z5HXjXK3gQl2DF0QlTAkmk7/QT5itMUbGN9P2DuHbQUgOMxSMvzNkZRUwYNCVDBzU\ng7Ur3jqpc2VkpDJsaF82PbWbjB6pnH56W+lLx6G8vIpZsxbRq1cGkyaNYNacxfhGBGAs+AYGmPPs\nEhZvXI9ZanL5JZPp3j2Nvn260bVrKr/62xJ815tKELUU7v7HMm6+eABaO7+c5VV+TMOCgag+4gDI\n+XutCgA9gTwQ/xG8efu5jBuaRlL8ifUCqzDZq3kwb5TgAnsQ+Gtstu6s5ox2aFXvppZVURWYNynt\n5eWvl5NaG0avI7gVzXTlUz3ORNYzryWKkTxX/duuhYLzAhRWB9j4dRUzgikMIoYdVDNHVy5OZmdF\npBJZgiuMzhTs9rPvoAfNhvyIgPJtbok48Ii2VS4G2TFsWF2JPaPFgQrgEOgVYGagXJXygc9RZeGu\nQC9I3OYk/pCTWNvJCCu2lXvS0RCDzhVmo0LcP/X91MbZjTaJy1H+xU2RDuyitYNTMYrwtRfiLScj\niWu3sEcIIXQUQsH4O0JVVS2BQJBDhwpO+lwOh4OVS14jJ6eI9PROp1TF61iwbZtR424k31mCyBe8\n89Ij9O+TSfgCN74BAUWsSYSqS2rheXhr12domwVyN7jDnQR9ZmMPMg5M08YwrXZJXwLERrnRhYaR\nZinlqmzUjbVe+zgd0GDs4M4nHIhBsZU1FzTlWdlxkkA77+J5+DGGNPZbzUGSgtX+NoNxZZ2sojyz\nyYMCZa3yD9Q57gAcKkabAyWfvVpEmulmjl6kCFZ1lsvGmRL2SWZ9WMBvzB6MDyTiweIpz0GlmNXi\nIxH7IcbSec51mCrboKsIZ7qRTAIuJtgJ7NhWo+RCz0QxwvcDC0DTYWRZHFveqMFrWOpzGob6/J9Q\n71OdbFJdbjLFjmoIxFUYrHSUk6X7SLCdjDMS6HIMJnM+fjzCVsIanVGzx2Go/u+gJk/sD3wFYply\nlcKJytQ/qrvuJeCWGhYyZI34XeNb/PjbsPW9WUq5tu7Yb4DHgSQpZXndY78HbkbdWX4tpWxbfegk\nEQrG3xEGDerFts0fkph4avpTmqbRrdvxuROdCtTUeMk6WID5oAWrYMmyDTz1xP1s2rqH/769hBqP\nB25BiVJ0BaaCLSXkgD8tSE9PDHkfe/APsgjb7mDCuC7tDsQAuq7x9qPncePDC9ATNcwym+RuEeQs\nrcEaIdG2C1ISI04qEAMk4MQV0Ah+balMqxgcG8VRfXibIgU3zu1CZaMS9B2C5LrScjEB5jtLyBcB\nknAxLBiDFiYae5/1cKK+scNpXo5NBREjWF5RjhzSGIgb0AtkumRnVi1DiCESBwOIYsfsWswrZeMG\nIxu0VYJcfJiXAmlwcLOXV5fncJ/ZnUh0bjUyeGbrIew9KMnMNGAcOOYJJskkphjJWEi2B6v5akMJ\n3o22Kq13AwMJJfDV6yUk+Fwk4uRFPYvAcBu7LxQXBjmwxMuVwbRmm5RyghQTJBqdFFz8R89VDOim\nrf9lKHJXJGojVgWOzyFdhsFKyFsRwHJLRSQLR2lynw0F2/2sy6tgbDt6+CF0HL5lbeq2bH0RQnRF\nTcM36NwJIfqjTE37o7aWC4UQvaWU7Vc9aidCwfg7RN++md/1Ek4aMTGRnDl+MGue34YWFFz/92no\nus6brz7Mm68+zNnn386alVvxxwVV6dKDEmyohhg7kipnkIhqnX67Epg0Mp1Hbx/b7veWUpJbVMuk\nkV3Z//GNHMipoldGHKZlc/WfvmTLa6X06h7HzBemtbvsfSToaPzc6Mp7C/Ko+NJA1wQXWMnt1qoe\nQBQ5VbGs/2clACNFHH2IpBqT1/QcAhNt6AvZWT7yv/AhvKK1n1kO6BbYVc0VIrHB9kmqnSZWS43n\nOgS7Scqzgg2/X2CmYByW7H3cg9YF8AhEOaTYbrIn+NR7LwDpB1+4xeqaCiagerxTrWTm2yUY45Ug\ni3OR4GwrqYEZ7UAwmFjypJ8No6qwm5K6OoFxrmT5vDISLSf+ETby/Lpj3cFIlHw+q4h7gz3wYzHT\nWUC28OFIFdjlEkdA4I+xWxtAjEOpcn2Amj12gi3hbDOJTCKYTR7bIjyKVDYMdfvdC2Y1fO2qZOwP\n0MghhOPHkWx96w4/CfwPioFSj4uA96WUBnBYCLEf1Xw5tdrFhILxjx5SSg4ezCMhIYb4+NaknJPF\nwYN5bNywG9EZtFLBvPlrGDWqkYA1d/ZT/PnhF9m6ax/GSJNVT29Bc2j89bE7+PMjL1J9aRCKIG5n\ngH/eO/4o79T6um743/nMXrQfbHj1oclcO61ROGD5y1ec0usExYL+tdEdExuHJY5LVlEgmGolcx6d\nEECRDLCWSvZSSyDGhnXATmA0WGdB2nIXxW8HMabJhvK780tFelq8sQx7oFTkJUs5GCWYLtKsMLLz\nfNhtaDU7c0Qzf2MnGleaaVRikHfIjxuNTCJ4z5mrmMqdgUuBaJB7Yfn8MpKDLvoRzUgZR4rPzaal\nVUgBw8wYutF6BrxYD2K3tTlIg3JhUOwMIFsG1dOgyjAxsPnAmU9Ofx/WBcqHGAnGxjo1rwDNR6Uc\noMWCnQGcjxq5WgcbFlWRbLrYJuoC8W00luZHAMuhcpVJHn7Sm/SwfVjk4CMKXflbh8rYHYpvkcDV\nlq3vPaiMOFdKubUFoTaN5oE3l9bshFOCUDD+EcOyLKZd9GtWrN4MJnz0/j+YPn3cCZ3L6/Xj8fhI\nSoprxv6ePXsRgT5BjPNNKIJ/vziTP//p1objkZHhPPH4fQ2/m6aJpmns25fNw39/Wd30XVC+ui2B\n4SNjz+EK5iw/gP/XFhTDvU8taxaMOxL6SfiraMAnehE7nDVY/SR2CYqEdDmqI/UFyExVfr/c05ml\nn5RRKQ0ShYtJwUR6Ekmc4eSTN4uQkRLbD51sF1cZaRTiZ903AkbK5szmQyByoH8bY0RxOJsxmqMN\nXY0CXU5jH28EWMnw6TtF9DaicCDIIJwM6+hVgVTDTfZhH3bL0fYcSLKdHNLqMvCmTlTlIBxQbhrk\nan6sGTSW5IVaC7uArSjFrXp4QZajhD3q72p1FkqvO3JUT3k8reetxwJr4DVHNj+zutCDCDaISuZp\nJThSBHa1JDHg4gajS5uCJCF8v7CszMOysqPaPrZl6/sXlNfXeU2ed7TdQYfIVoaC8Y8Ya9ZsY/Xm\nrfjuCsBBuPe3TzBhwrCGGeT24pVX53DXr/8PNDjjjNOZN/fZBjvGTp3ikdlSjbYchLT0tuyDGlFP\nLuvduxuTJ45i0QursYKSR+4a0+bzA0GTiuoASXHh6HpjEAxz6dimVGXvKggP+2H8KR/Ay46IGow7\nZWNmtwZYiRrNuQZ4BXoZEfQggt12LTWaiVdYqueKCqp9zCgKqwJowE5qeU47hHSDbQMvg3Y62J1B\nPygQ++AaMx13OzYRhW7Fgm91K8oAK0qSV+Fvt1TkaDuejRursHtKpcAlgDxwLhQMNWLJdvswl6Fm\ngbujxpPmQIRwUEwArSu0Gf96AxtQphJhQA3oswTdCefQap/KojVwLhV0NcPZHVWrXteWRLwOxIOd\nCW9vzOXMYDzr9ErM2yVmogQbij8L8PnWomZs7hBOLU6V6MfEpEgmJjXyDf66v7TlU9qy9X0YZQy6\npS7R6AJsFEKMRomoNq3vdKl77JTjh3EHC+GEEBUVju2vC5TlkJNbRFzCRM6ffgafzn4KTTv2zbmo\nqIxf3/84wVsMiIM1s7bxzLMfcN21U8nKKmDj5t3YhoTnVKnp3uevadfahBDMmflPts5+iphIF927\nNCey+fwm9z+1nLfn7kJq4NYdPHj9cH530wg0TZCZHsMjvxzDn19YS3SUi/cfn3oiH9G3jh2OGowx\nsnmJdQSq9GqgzC406EUks/QCDmR6MadIqLKY9VEB1wXS6U4EDgSx6LzkzKKmq6VuFztRBbRk0BYJ\nBmyNorPpZgix7c7qTCRHUuYULqGOtxPxOLnOTGfWRwUE3TboAq0WppvJ9CEKTAFTmqhqOYEU6GFH\nEIkOFYI2k5B6m8YngTDQPYIMwsjGBy4JyyEOnUuNVLLxY/ZEZdOHaJ6FA3jrznclsBZWuSpUP7m+\nhayBfTbs3uxp93WH8P2FlLJQCJFTR8Lai7L13SilbLCVE0IcAoZLKcuFEJ8C7wkhnkR9u3oBX3fE\n2kLB+EeMIUP68OA91/P4P98hMjqM2kQv1t02S1/ZxNat+xgypHlZd/Hi9axcuZnu3dO47rqp5OYW\nM+2iX+MXQZW9AMF0g48/Wcojj72KiATddGCfacMQCJvrIhAItrGStqFpGoP7tJ1JX/bbz1lamov/\nNgtiwF9s8djH66n1B3nsTjXz88ANw3nghuEn9uF0IHxYzHIWkGX7CNM0LjRSVPBBjdIIb4sQE0TV\nrzVUydqqG4O1PMgrUd/SLDCjJO+Tx5hgPONkAqu0cjwDLUUxATVu9BwwEhyJgkHFMUecYz4SehuR\nfL2tEqtbiwPVYJVJ0o7TQjKTCO43elBkBLCQdCasYYxoJLFs+LoK43LZMCbl/ExwlpVAIi6c1YLg\nblTpuR7lKOtEN0TaGtOrU4jFyRvOHMyfS3W79EPthxa7smpJt8OUq9Mg1C20F6oLCGrz8xlqwKU+\n2Z+IqlJ8AUxvfF5Ik6Jj8S2LfrRl69sUDV9PKeVOIcRM1FbXBH4lO8hdKRSMf+R4+KHbePih21i7\ndhvnTL8DloMIQFpa8yD4wouzeOChf+HrHyAiN4yPP1/K5i17Odw5X2UsX6KyttWQl1yCZ6APJoHj\nHxrhi93o+x04S3QuvLD9JKwjYcf+MpZ9k4f/bqvxLzQZvJeZPP3KFv5w00iiIo5trBAImny8+CAp\niRFMHNmlzedUVPt54F8r+GTZIWKjXfz2+uFI5EkRdj5yFpDV34s1BWqLLWa9W8AtRgYpuBlqqwBk\nDpCqX26gLAH7odjmn6mYHIte3/JUx/OB8yHokqxeVcHeQx4QErup0JoLJXSSDzJcEuT4py/OsOPZ\n+E0VlrOutJwBVILzQ8FoO66Zm9KRYCLZTBW7XLVE2Q5Gm/GktSHwca7VibBiB2tfq8Bn2MTpOj3M\nCEoIEotygpozqxDZr+66SlGBOB165kRwnZWOhmCBKMEaIRtpNWFgTpdserGaDDtCBfoLgB4oKc00\nlM3kAVR5/HzgG1T5uxuwGZVJDwUSQf9CMKQNedC2YCPJwU8Qm864iQrdYtuHb3G0SUq5heaMg5bH\ne7T4/THgsY5eV+gv5SeCMWNO56N3/s6SpRu5+snzSE5uPsrx0CMv4L3MD53BY/j4/NlV2IaNfZVU\ndIcVwCJw2g5uufli/v7km2glgq79Uvng7f/H3r3ZjB8/rNV5TwRfby9CO43Wf52x4IzX2HWwgpED\nU9p6aTNc9tvPWXYoD1kNz94zgZsuai4RKqVk8p1z2OEuI3iNTXmNn/tfXsHZJDCiletB+3HY8mJP\nRfUzM0H2g6ytPlJwk4KbGcEUPnutCCLB8EplZmACh0Hzw2QziZnOAkQ4yHdRilH30iBDaXaVlD8X\nJKMiHHEgiKwXXLNQoieZYOdB9xYMZw8WO6jBj0UvIttUwCokoCRad0vkXqAaHBaMI4Hx9rH/39pI\n3nbmUpDsxxgtEZWwc2UtlwZT6deCQKYhmGAnMsqO41VnNjWJJpt6Vv9/9s47zIoibfu/6j5pch4m\nEIacERBJks0KiphFzDmHz7D6+rruuq6urll0zQEUZUUFBQQEiQICknMaYHIOJ3ao74+ayMzAIOK7\nrnNf11ww53R11+npU0896b5Zv7EcGQCnR6AZYG1FZfpagZYBrp0a51nJNWIWhpDIwx12N1hSUkQI\n0anK1elRdQ+nocLQ16AIVNajuK0noQx+FMowf6g+e2cRwZnWkWshAAxsPnIeIi88iIgQyHzJVWaL\nHGMLmocWY/wHwrnnDuPccxtWUz/3/EeUlJTXytJpoDkEMoQKmyYCw8G52cH3895g+PB+pKUlcs/9\nz7PDt5+zx93N7K9f/lUMMUBSXBh6aSNbZROMMoukZhJ4LF2bjfdqE3bBd6sPNDDG67YVsDOnlNBt\nttqZJ4DvHJOlU4sZEDq6Md6Lj+9c+QSFTV8jmhF2AhoCt67hL7BVHtcGUQBhdbb+fYimhxlJflmI\ncDQyjQDrXWW4/BoDDXXdHyKKkLcDX6EsSV27qUGoqyR5hZtDPwUI+W3s1ijvzgZ9JpxtJdXLEx/A\nzxTHIexOYMVIlm4oZoARw1lWcs0xBYSY7szBuErWCj5kg/ahoFMwolnRgt14yY0KYFwvaxjCjDaS\nbz/Jp5sR2eg5ftCKKO1mYE0AloEdDkyCULJqZ2I3aNMheY+bTmY4g2QclZh8J/IxNEmC5cKxCsxT\nUPleCdpi6CoiiMGBI0vUFL/RASW5OA3VwgVK/GISykB/hWI686K4rcuhjxmFsxmu2zKtmJy2QcyJ\nEjQJO2Da9GweNDu0tEYdDS15gN8yONCCXxtZWflccfWj/OWpt/mlaYzZs5fx5AtvY/eU8AmwCjwz\n3Azo14PJrz2C5yMXrjcdON908NifbmD48H4UFZVy74Mv4L0ggP2YJGdAIWeccwehkHHEa33yyVw6\n9xpPj36XMH36Arxef6PHnTm0LY5SoXJ9daCvFPTqmEhGevNChrde0hvPBzphyxzcOr43JeUBsvIq\na94vKvWjx4j634IYCNhHD+/mEuRTZxZ540OUTjJZnlDCUk1VFo01knF8LNC/BufbguRCV4O2Igca\n4eh4selBJNeE2nCFkU5HIjhEgFDPqkKqMSjuZ7P+9V2ZgjQ83GFmMGxDPJ2+C6dbVgSjiuO53cxg\ngKzdTEgkXzhzCF0kMS+XyHPAuFuyxllGDoGa41bqJZgDZX3lpTQwRkiWO4qpCxtJFgHyCSLrZMCz\nCaq5141mZ4BfWvibCJtvc1RiDUHlzpejKsqr9wgC6Az2OEBIkqWbjx2HeNt9gB9PLWXNqDLmxRTg\nMjS0F8A1VeB6RRC3wcm5ZjI+LIwcqcLO1YijVu6xKyocnQm8haqV7Y7SPR4O1nXwlSOvWYVrOY4g\nZh9Z+zx1gYBtEToxnTAt+C9Di2f8O8b/+9NLfL5lAZ55LkYM68eoUYcz4h8du3cfwmxjwTnAd5Cw\nIYYH7prIffdOxOl08NiTkylIKcVV4KCiQlWUbtu2Hz1eqDweQB/wLw1y6FAeHTo0nptdvXozN931\nFL7TArAQLr3qEVy6g1ceHM7NF/Wud6zLqfPNS+dz9p1fY22SeOMNorKcxATdTH/n3GZ/tmfvGsYt\nF/YmOsLFhp2FtD7nPWwpue/Kvjx956kM7ZuKmWurEGhrQIJzldasoqddeDH7yxomKGOcZOPUckYG\nE+hJNPEhF5k/+wlHpwdR9biPg9h87swmU/jRwgVUSsaZrWpkC6Nw4Myp8uaqjcbnqC5IN7ACPPk6\n3YjAgcYYmahyz02gDBOvZtUvhApX/Ni7V/tqwtUFjiCyDar390cU77QEUiBH1BrtTPx85sjGDLeR\nBsSYDq4yWhOLkzicuDJFfQNUrFi5mmqtcgtNVTX7UIxjjQUlukPulyFmJuZieoHboXp/IweD7y2b\n+GInI3bFE4OTdoQRwma+XqiKt2ageq8lip+6I6qfejeqUaU9qmCrHfATKjVwCeAC6ZEUV4Zq6Eub\nQqLpYs8uL1Yf1CbiIDiEhqvFKz46WtzCFmP8e0aPru3xzHOBH1q3PnoOtTGMGzecx//yBvosDTLh\nhRfv5+pJqoy0qKiU4sJy7GttArtDLF6+FoC0tESCBQZUoopjisD0miQlNa1etHbtdmRnCdtR+bgz\nIVRsct+LSzl9UFs6HNbaNLhPKofmXs/0ebs5kFtBrwsSOH9ke5zOYyNeqD7vs1PX4D/NhI7w4uT1\nPH3nqUSGu5j29Dlc/ugcHKkadoWkTUwk55hHV2Fyo6EX1Wn1KVWV0tVIxdOkKtFsRx77O/uxJkhw\nSMiBr9/LI9XwkIiLnkQx/0ABxqqqKuMYVKrgA8BQPZnnG62aTT7iQkOaUnmedeyJXi7w1DlHiunm\n4MYAcj8wBFVZLIDNUHrAZDde2hDGVMchQpdK9Xe0oWiZwSdLs7jdyKAHkSzILsCYayFPAcrBOUsw\nzI5vUoxhSDCWOXMKMEYe3YM0e6A+R91AgxM4FUrmG7i9ek2uPIcgWhyqDvYWFI/SAeA+qNlvBYCP\nUcVcFipMLVBhaxfgBTtAs3SrR9jx7NhRScXbJrLK0F9spbSEqFvQLLQY498x/ufRGxkxrD/p6cl0\n6tQEKfFR0L59OpvWfcaCBavo3r09Q4bUyt7Ex8cw5NTerPt4B3a5za3/uAiADh1a89Ck8sm1AAAg\nAElEQVQDV/P8K1NwtNEx91u88OJ9REU19Cht2yYUMujXryvicaHClwNRC14CuFpp7D1U1sAYA6zc\nmMvc1fsZ1COFC8d0PC5+6UHdUlgxNwcj06Zb51pjO3Zke3Lm3ciStVnEx3gY3CeFv/b97qjnO4lo\nfswsoeIjEztWom8UnG0mNzjOh4VEqr5ZVMh4s12BdS61375UsPtLNq4qZwyJuNG43mzDjO9zyQkF\nlSEOoDzjOBDTYKmziHwj2Kwe4nB0OmoR7PnGizUWZWS2gbYbetaxagOtWFbvKlO0+HVVOE8FmQ7/\nnpLDuWayqkbuUvWeBnIYlKwwKDJCJODiJrMd89cUsHutF7fQGBKKY+ARCuL6EUNRicGPX5Zg66iw\n/OH7oa3qPqHTuBelgYyBrcEKupuqjSwaB2ZpVdg9AdgLjId6gQ8PcCHwrvq/7gWcYB0AcsG5SNBf\nxhDWjCpyDzq3Gu3Yme0lmG3TljASm2rabkF9tOSMW4zx7xlCCEaOPP4+27ZtU7j++gsavC6EYMHs\nN1i0aA3JyXH1+pKf/N9bGT60Hzff/jcOevOYMXMRV086j7Aw5Q1Om/Ydd93/HIW5peCEAf2788Lf\n7uP/PfoSlcv8cD6QA2a+Tc+OCQ2uvX1fMeMf/AbfMJNvP9tPYbGfdqnRpCSGM25kh0YNs2na5BZ5\nSYwNw+Ou/2j/+ZZBtEuJoqDYz80X96o/zrJ56fP1LFuTTUK8hzOIa1CJXBelGCzWi9A1QcoBNxl7\nwzmJaJLqLLxeLP7tzOaA7QcBrYSby4w0onBgSxp882wnmELWdDgm4eaKUDqTHfsJpNoqfLsAsMA+\nBTKjA2TvDPLD7iKuMNMbnW8IGy8WkehMMFKYsT2XPVt9CB0ipM7FZmo9Q16OhSNKYHZqxEPNABkP\nOfkB6rBnKghAA6tq8tE4GGUmUOgKkWcFmacXsF/4GW+mNBqqFgjOsJNwo7Ewqgg+RfFip6AUMXah\n+oGHoYqs5lT9v/ojWyhGrhhw5dWePwEXaXg4lB9Q3nQZ9bmUqpEISAj/WWOi1RqfZfLDt0UEsDnJ\nimb4MSg6OdHqbXBa0Ey0hKlbjHEL6mP9+h0IITjpJOX6OJ0OzjyzcarKKdPmcDAhD/MiiyWz1vHq\nq5/x0EPX8Opr07jv0Rew0mzVTr8Z1izcxsmbupN3cD5XXfc/zJm8grjEaD56fjipSQ096h37S9BT\nBQwEX57Jc1PX4e6lo+UJRs5M5+t/jqtnkNdty+esu77CFzIRFkx96iwuGN2x5n1d17hxQq8G1wG4\n4n/msjSQRehum+xDXj75zMedZgYxDawOVGLyL0cmgVNsZFel/1u4MsRAs75nP8VxiJzYoDJcrSFb\nD/LxmkPcYWTQyRHB7sVe5JkoQ1YBzjWCnrL+Ir5CKybU11Y9sitR4eqRVWPagNFfwj74dGoW95kd\nary3IDazHXlskZUIF8iQ8uQvMVIxkYQsm2gcDcKnFZhojVFGVsFOlkTlO7H3A7nUSjVugTBDr9mM\nWEjedxykcpQFg4AQ7Jzl5atduVxmNE0puc5VpjZp+cBU1L0LoUL1VblyolHFbK+jQuluVBU5wD5Y\nZ5exxVnBUFMRo1xtpvNycD/eby3lVVdUnaMuAoABfttmpisXYUFRuAGtYcneYspMk7FWcku4uQUn\nFC3GuAU1eOSxV3n1rc9Awn13XMlTT95+xOMLi0sxEyzwQDA8xGtvfc4/X52CaVlYSbaqVHWhCofm\nwE/rthIe7mHGZ8/XnENu/KjRc484OZ3IChdMFVQeDGFNkPi6mGDC4neyWLE+h2H91cIupeTcu7+m\naGQAegGHYOLj37Fv5rUkxR+dh3v5umxCt9iKhakzaKmCnIPBRo3xWlFGqIdEnlU1/www/Dar15Vy\nulS9qIfwk0MQ+qI8sU3Abih1GBQYIc43WvH+moNUbjchToVEh9nx9VSDAHKcQewOKG95edW/36OM\nVAFwLtAb7E6wYnsJpmZTrIXIEyEqulhY51TlnMthw6xySvcbTDJaNxlyjcOpjKykITe1BJENrXBx\ngdWKr9/OU9KLIYFWAJebaTXGaj8+QjG24rgGCAPrfMnO5yoJYjdZyOWzLeWltkdRhBZXzSUX1efe\nBUXQUYqq/F+CCjPHAjnAOJDdIFBss3BmEXl5QS6x0rgzlMGcrflsogL5gzqu3udboe6pvAfydodg\nFqp4qy0QgI2vldO7MoqMI0RLWnCcaAlTtwQHfis01cbzS2A3o/Xml2Dym9PxTQzguzLAa5M/P+rx\njz14PRHLw4ieGoG+VSM7pYD88SWUhVWqBfMHVGXqF6DFCAYN6HnkE9ZBXLSHLZ9dxdS7ziIuyl2b\nQ3SAFi0o99bSbpZXhigpCypDDNAaHPEauw+WNThvY2iVFK4KewD8YBdJopvYpxbqIazW9cO4Vmso\ncNbOZ51WpozJqagF/Txq6BZNJFE4uNPI4IqSdMbtbcU9ZgYj7Yah+oxQGPomoYgo/Civ8RbgehRh\nxVwgH8zOkmWuYladUsqOgT5KI0ysi6oMMUA0mJdJDjj89VqZDkcbPIT5dbV5OBw7wFWh0Z5wehPN\n/VYHzs9MYUJOCg+YHeoxbBlIxOG1a1X7GusIbT4Jmqv276BXfeaPUApNXVDP1EuoHuCLwSkFQ8pj\niM7RlQBeH9TmLwW4CraISkowCENngpnKeDNF5Z6noQoJdwFfoD5vmvqM9Ebl5pdVzcMDxkmS/fx6\n398WtKAxtBjj3wDPv/AxkZHD+cfzHx7XeaSU3HHPMzhdg+jUYzy5uQ0USY4LvXp3xLnMgXO5g959\nOh31+CFD+rBzywxefvT/ERkRjtXfhkSw+tgkhMXgNBwqz7kfRp18Ms/9/d6asaZp8tw/P6Ln5R8z\n5IbPmPXD3gbnj412M3Zkeyae3Y3wuQ7FUPWjwFEkGNwnpea46EgXkRFOtbgC5INRZNG+mf3IH//5\nLCLnOon+xEX4Ww76BWMapW8E6GiG4/xZUNMya4PzZ0GnUDhZBHjLlclmZ4UKr0pgC/AZqvI8oDxL\nUOxT1YYtuhEPHGCIjMO1S8AbKE2ZLnXeTEH1x84GckC2QbF+OVERiYPUCioAOMDqLtmHH4lksVbE\nM47d/FXbxXRHNgEsBILLjTTcMzX0b1AtX1mgzQHXvwWXGWk1rFfh6PQiim5ENiDEyCAMO5f62jY/\nQaLurpej3o+PN1z7eVLs5HnnHlqFXOhzq+6VD2U0xwNXoYztJOAiVJtXLEgBQ0nAL2zlTddFOJAA\naymteSmEjd4R1da0GuURpwA3o4xxedWBPVGiElVw5ogmN2ct+JWgiRPz8ztCyxP2GyAvrwjNqZGb\nV3Rc59m/P5v3PpyJ/aAk8/sc3njz3zz551t/pVnCNzNe4pl/fADAnx4+nDu9cfzt2Xf5YMo3BAMh\nHHN0zN4WzqUOLrnsdCa/9ggAhmHictU3OLfd/QyfLJiLb0gA/HDFk3P52DqLC0/r2OAa/7x3OJHh\nTr5eupf0xEhefW8k8TG1xlIIwdf/HMd5934NYWBU2PzrsTGkJDZPJGHISans/uoaft5eQGpSBF9d\nsqbJY3sRzbrCMnJfDxLqKnHtFCSWuehOFK869hM8x1ZtN9OBIMqrHQJ0B7lUMKMkt9lSfJn4MT1S\nSaA3FgyJR5FTbELxSIdQLTr5KC7rYhR5xnggBnS/wIngJ0pZFleMcZmEcNj+XSWB7TaTjNak4uF2\nsx2r1pWydVMFAF2NSIbYcfV0j48EDzoTrBRmvJeLSAMC4CzRuMRMrTkmmwBTnVkY50voqji8N8yo\nQPqAV6kNVx++J+xAjYSitCQuNDQNFaauy1gZAkoVRWU1knGhHxJYF0tV0V//ZqtIBmq+aMBB0DaD\n60BLUVYLTjzECRKgOG4IIaSUTS+KvydYlsXGjbvo06czuv7LBcqLikpp22EsvlEBwjd7eOGh+7jl\nlouOafysWUvp2LE1w4f3+8XzqEZpaQXJqWdg3Guq/tdXBDgk0gFup5P3X3uCK644u8E4r9dPQvIY\ngncYtW0m26Hv1kTWfXzlL56P12ewL6uc9FYRxEU37tk2B385ae4R37eRivaRIMm46UwEhYR4N+oA\noQfU90l8BPIQcD+1VJYhcL4ouN7fpske5Lp413WAg2MDKkQ/A7iD2u2zBKagvLjuwNuo3KkHFc72\noAqdlqOM9URwvC64x2zPh+6DFF5mKMNWNS/tWXjQ6tisFp7mIoDFXny40GpkH6sxzZnF9jFetVGp\nRgGql/oG4EtUzr2xZoH1wEroXBTBRCOd6WSzJaJSMXe1RnnVc0Dsg0sqU2vYz0JYvObMpGKIiRyF\nMrg2sApVjX07oIP4FqLXO3BognZmGKOsxBbPGPgzO5FS/uruphBCmpP6HP3AXwDHxxtPyJxPBFqe\nsN8Auq7Tr1+3ox94FCQkxDLryxd57uWPGHh1T268cXyzx/p8AfqeciUlUeXIbHj9uYe59tpxxzUf\nt9uJrmsYhYANmhBYqRIyILjOYPWaLY0aY78/qDKHde1RJJSUB49rPhHhTnp1bph7/bWhIehCJF1q\nkrKq+EnzC/hRQjSITNA7COXZVsMFsgsc2OBvljGuEKbyEFOrfqagWnqcKOPhQ+U4nSgxjyXAA9QS\nezhQ1dc7QH8TRlnxVeQVooFM8IlYrTxV7GN1YSL5mVJ26V7YjMoN96+aaxKqTcmDyrWXNHHiQnAU\nwtiqvu6zSWa7vxLr06oPYgBxEB3Q6UokEskPFLHUUYwdj6q+XosKUeejDPLpQCY41gjCdmncZLRt\nUVz6LfE7CymfCLQ8bb8zjBlzCmPGNKn+1SS2b99PmVGJd0IANsHUf885bmMcFubhzdcf5Ybb/4IV\ntElrl8RBO0/pvwYF10wa2+i4xMRYevRqz8YVu5UWsgGe5TpXntG10eNPJGxbsjOzBMuSdGkXe8wM\nX9VwVRF1zFlUQEhYdLMiWVpU3KAyWcsXzWJzAmhjhVG2vQKZhsqVrgFmor61fVCFYdWR4xCqF7kx\nxsbO0D07kmFVotSDgrHM+7YA41IVptbnQXstnDDr1/OKG4ONZIrzEFnJAazhqPuyClU4NRFVNe1C\nGeO+KC95EPXZtipB/ASjzQQW60VsEZXYSNqKMPxBi1wzhBDQrTCC88xW6Ag+17PYqnnVNTKqznMA\n1bschGTDiZgrsIFeoSgGythfNULQghY0By3G+HeCoqJS1q3bzpAhfYiMPPYWi06dWuM0HOhzNDxZ\nLs6+f+jRB9WBZVncdNtTzPp2KWecPoiP3n0Sh8PB9p370LvqWKfbFH9RxhldB2HYJs/+cFc9kpDD\nMe2jvzPi9BspXF6KsOGske14/KbDE3nHh0WrD3Lbc4sorwxx9bndefqOofV6k8srg5x+x5dsPVCM\npgtSYyL44c3mh/0PRzJurgkpbm4bybqKcoyFBrLK8IiV4CoQ9TzqI2GkmcCOFZWEwqTygNuCWAVE\ngazuN66CfhAoAauRtiRHvqBtnbacAcQQKLVY8W4Jhi3pISIVs9YJxh58ZEfWKjoBKtf9NrAIVTU9\nEhU+TkKFsN9C5XJTUXnhpSAiYb4sUrn0wYAT9m3w41osuJW2JEs3mqluQjYBtmtedf8y6kymLXC5\nunax2+CKinR8WPzkKmObqKRXMIqBxOJqqXH9bdBym1uM8W+JsrJKzrvwHrp1zeCdNx5v9jiv10/P\nvpfi1f20jU1h88+fI8SxhXWioyNZu3IKn3wyl44dW3PppWcc0/gZMxbx+fwFeCf4+XruYqZOncs1\n14wlGDSw3apHV7rgysvPPqrHLaXkzvuepSLGh91L4j6okZlbjn4Moaola7OYtWQvSTFh3HZZH6Ii\n6tMO7jtUxrj7Z+E7T/XyvjZ7A3FRbh6+tlZM467nF7NJLyJ4pwUC9i0q46onvmPkr9BPqiG4zmjN\njJW5HFih2mLSdQ8Xmik4mhkUTsTFDWZb5i0s4MACPy5No58RzdaKSspmGFjDUHKXqyDsoIZDaJSu\nM+vnWbOBXdCrjnspEAy3ExjeSDvVrwWJJJsgBYRIw00ybnZrXkL9D1N00lCG8gelHWzpqFA1qKIz\nH7T5Pow8PYjfY8MEsA+g2LTOq3Oe4RASkoWLi7jSSK95eR8+FZpOpSHiARvMPjBvVQHF0QbGGAlu\nKPghyKqcEkbbifQkqsne6Ba04NdCizH+DbF1615WLt/EqmWbeev1x9C05n3Bs7MLKKuoJHBViG1v\n7CcUMnC7j53zNiMjjUcfvf6YxwFKHtEJRIJ0SoJB1Vf74ANX8+XMRWT+LRcRAxu37MI0TRyOph+t\nnTszWbF6I/7bguCA4ECbPe+V8ePGXEacnN7kuGr8e/4urn1qPr5+Ju4infdmb+XnKVcS5qm95spN\nuejtRY1SkW+IyTc/7qtnjJdtzCY4xqrZlZsDJGvfy2dkPRfqyDiInxXOEko0g3ZGGEPtuBqykGic\nXGu0IYhNDgE2U8FSvZiTrOhmE0i0ws0ko0oJq8pInWrEs3hLEZt2VCClpLsdxWgrAR8W7885iLlZ\nYnSR6DkCsRUuMlOOyl/9a8JC8qkji0y3H9Ea7P3Q24wi2nKgl9ba2hpUACmQkOVCmy0omBUEofqO\nz7Na0cpy8Sx7VJg5CUV8clYjF+4HexZ6673kQUOzwT4IHJ7dyQOcIIqhQISwb1K/82+wvFDR0WJm\nbh4zA3mEC53BRixDZFyztI1bcIxoyRm3GOMTjd27DzJs9A089MDV3HfPRD5498+0adOq2YYYoFOn\nNlx68Rl8+eki7nviyl9kiI8HUkp69+7EgIzuLH9hA4NG9mLSJCVlmJqayA3Xjefpt9/De2qAf301\ng7i4aB5/9MYmzxcIhNDcmhJ3Xwq4wdRsFq/JwrYlw/ql4XA0fn8sy+ah15fjO9OEHhCUFtlTvHy3\nIpPxY2rbotq0isLOkYo4wgPOAxodUutTVqYmRrAvtxyq7X8uJMR7qNOaekRsoIxv3PkYoyQkQ/6O\nIOvXlXOj2bYeT/V2KvjGnY85WCKdsHlFBcMD8Yz4hZ5pGDpn28mcHaofWo7Ewb1mBzbtKyfnQJBY\ny0FfYpqdo/4lKMOgFJModOKrPvMGyslM8mPcINUKE4QNr5eTXulRoeiBqPw2qArqDcDVUPhWiIdD\nnWqIQao3EN+LAqSNyiWHUGH4xlq9bBpEjHoQxZzifOxKVMGYA1WNXVH10xrEdtA6COwwqYhqbJRi\n1ffAaKAT+MoslvxQzPYDlVxvtGm2YlYLmonfsS0WQjxQ59e6iSIJIKV8oTnnaTHGJxher5+8Q8Xk\n5BYihOCqq5qvx1sNIQQfvvMkH77z5C+ag5TymMLawWCI11+fjj8Q4K47L+P6W/7KnPnLsUM2/3rj\n0QaiEit/2oS/b1AtWr4AK1ZtOOL5u3dvT6w7ksoFPkXkUAz+ryyeX7CW579Zi8uvM/3v5zLqlPra\nyCHDYuTN/yYzv1xRFsYCaSCcSuyhLob1T+O6s3rwzuQtOCM0ksLCee6pYfWOefW+kYy4+QsChSa2\nQ+JZ7+Bfz49hxS1bjzj/fIJkEWC2Ix/jWlkTArU7QjDaZt7iAiZWhUoDWHyr52NMlCpPCRh9JEte\nKeYU+9cvFHKjMYDYRtzPXxclGHzpzCGbIHqswCqXJEkX40MpbHVVYAyWtauLG+wBcHBfAL0IlQdO\nRxnXAygt7Sj1nGuA+7B7stVZqY59CbXMRaFyzBnUW8TFaugq6veWh6FzkZXG58Fs5EwUGchIVLvY\nHmClmmYoX6qNwTpULnkqimykOrwdDeZESf47ITZlV9CPhipjLfjDIgpleLui4i8zUU/mWBS9TLPQ\nYoxPME46qQt+//Lf3JsFmDNnObff+wyZu3Lo2ieDN1/+Ey6Xk/T0ZNq2TWly3P975GXe+fYrbJfN\nvEUrWf3TFgJ3hiAf/vS/r3H99Rfw+uTPmTp9DmNGnML4c0ey6PE1+PwBwtd7uOivY444L5fLyXNP\n38tVDzyOlWap0KMNFZca6oncbXD6HV/Sp2sCf75hMOePUg2xP27IYUt+MfIB4EfgO3CkCyLKnJwx\nuG2D67zy4Cjuu6If5d4Q3TvE4zqsUrpf92TWTbmCT+fuwLJsJtzViZO6JrGCxo2xjWSGI5fteiUk\nS8wKGuYi+8K+RT7VTqMVsVyUqPamT1FtSUNRrU+RMNWbRblmkmK7Oc1IpFVVKbSFZDuV5BIkBTfd\niGxSC/j/ApWYvO3IxD/CRg4G0ynBgpyfg7w79wCdzQhE4WHdUyVAZ7CuBu1rcG4SGEkS+1rABY4v\nBD1FVIMQsBeLEmmo9qfB6lh2ovqQ30VRVzqBdYoJ7XSzvtKFD4vZzjzFEV4E3EZtxXkboAxCW1HP\n3Ycoz3sHKp98+N9WA/NUyZqZpfQLthjjXxW/4zC1lPLPAEKIpUB/KWVF1e9PoDjymoUWY/wbwONp\nrN+kIaZ99h0fffotD917NaNGDTj6gMNgGCZ5eUUkJ8ezZ88hLr7yYXznBeBS1do05sxb8SR4kF6b\n6Z88i2marFmzjb59uzBhwhiysvK576EXWLZiPYGeQYiCJV//rLysOUAyJCTF8t13P/LwX17BOzrA\nhim7+Pu9d/LOC4/z/eLVjJl0Cldc0VhCrz7Gjh1G+v8kcWBqruIa7kXt09gJ7N6S9f5CrnhiLl8/\nO5bTB7clLSkSq1zCdnDu1+jgjGZ0u9Y8/pdBxEQ1fo/bN6KTXBed28Xyv7cMatb93UwFO+IqMW+S\nqoDoY1RIs6798IPUJD9bZayILcG8WioPvhglbhANxIHhlRwaHYAOUL7HZP8iH7eY7fCgM9mxD5/H\nRsaD0wfJZR6uM9o0u/DrRGOFVkKwt62qxKuhAwPAKJcYKySOHwVGTJWW8A4UVenpgAD7bDA3Q+/8\nKLa+XYkQ0FdGc6aV1OBaq0UJohsqbFyNbigN4hnAv6uunQh2mOQnbxln2rXnWSlK8HW1kS4Um1fd\nx2Q2KlR9B8pTllXznAFNqia6oeJEhx1a8HtFMqrLvRpG1WvNQosx/g9BWVkl11z7BKERJj9espGS\ngh+Oafy33y7jsol/wtZU3+4Zpw8i2MdQrSMAvcDeLvG19kMk3H7PMxT5SvF2CRDxvod1G3awas0m\nfihZCy6Ba7GTUMBQCjedgBehR5/2TJ/6LIsWrVFiCd3Alx9g+8593H3X5fWM8Hvvfc3fnn8PgEcf\nuI4bbqhPUBIZGc76nz4hPn6M0q49XN2wDbAb/ENMPpi9ldMHt6Vzu1g+ePwMXvz8Z/qdksQ/7x3e\nQLf4RGKjqxzjVKm8s0SUEMMaaqkVLWAhSAkr3CUY51YZYlCL++nAIhCVIIdQq2qUAoZPsuzHYnbr\nXrxdqxSv9oIRhLyEAFtzK+jTQPvvt0MAiwA2UTjY6CjHaqILTQ6Avct9nGUl8e3c/Np7dTW1bGse\ncETA4LI4Lmy0zLkWO1xerJMaeaMLaiN0BzUG1vTC6pdKGWjH1lB3bndVYvWXiuSjbkdZCUo04t7a\n8Yiq856H6kH21plzNTZBQqh5tKAtOAb8jj3jOvgIWC2EmIF6msaj4i3NQosx/g+B2+0kIioMR6ZB\nWrra2du2zRdfLCQ5OY6RI+vzAhYWlrJjx37atEnBtm0unfgIvosDyojlwOyPl2P3PKzKRQOywC1c\n5OQUYlyvGJ68/QK8+OJUBgzuge2UaLFw0eDRfPvtcsojvFAEHo+L9as+xel0EBMTyRNP/QvXNAdW\nrs2Nz11Y7zKzZi3hrkeeU145cPefnicpKY7zzx9Z77i4uGjS0iPIjvM27DPMBuJAVEBU69oQ/yVn\nduaSMzvzfwGPrasFGtRXbQKKmGI9SmhgDxADmg0BzaYBnXEU6KWqyrok3aj3lmwNB7UA3kRLEXwI\n1AblYzAj4ECBnz5WfWMskeQSpByTFNyNSj4eL7xYfO3MZY/tRXMKdFNg2jZNEoiFgWlL5oUXqOyZ\nGyWWMQuVg3UDAWU4m0Mx6ZRCcXwfjurbV/e5iQDRCXZv86q8OaiwdwD1vdiBIksBFeruRuMkKT2A\nr1BL62WojZSBUiDbCsNlU25zC/7IkFL+TQgxF5WQArhWSvnzkcbURYsx/g+Bx+Pm558+YenSnznn\nHOUyTZ48nYefeRXplSz7/l3691d9OrNnL+OSKx/BmeggWGAw4fxR6O01teAApIKjuwNts0Woj6n4\neveAe6+Tvv27clLPzkzPXUBJSAkBEALdofP+m09w0x1/JSzezQv/uJ8brhnPpOv/F9OyeHvqYzid\n6nFJT09mx+Yv+OmnrfTq1ZHWrVvV+yzTv1yAb0CghmTBd0qAz79c0MAYAzw86WT+9MkKfJeZtV7I\nfhRlYUeQe2BVaS7+gFmvden/AoPMWHYsqcRoK9W9rjYInVBzPwnEBuh+KAqHJdiwphy7Ti+s9hMM\nMBSRxIpNJVhda7Oq+kZBvOmkJC5UW5RUVawkdkKSVb/moAyDKc4sSl0GWhyYudCTSC4wU44pv1yB\nyUH8eNBpR1i9sTaS950HKO5rYJ8Glkdi5EnEp8BC1KbhcOxByQ7eI2sN3WCUcVsEnAXaQuggwolo\nxvLTNxRNzrIgZrfD+pNXoULgh+0/RJB6lc6nBGPI/yGIMUkqlaaVqE2CDU3WzglqK7YnozxqP6BB\nTyuSDg3c5eODRLJKlLLapcr4B4ViGShja/Sh/xD47ylODwcqpJTvCSGShBDtpZT7jjqKFmP8H4V2\n7VJp1642bGeaFlKT2LZkzpzl+P0BTj65O5de+Qi+iwKqOrccvnhnIVqEXpu/lOAo07jxlgl8PG02\nZSWVJKfE8e70/+Xss4cyf/5Ksg8VsODz1WidNdgLzz59Fx07tmbh3H/VXD8lJZHszMZFExISYjn7\n7MZZvFolJeDc6sDABMBZ5CClZ+NtPHdefhJ7sst46/XNGCk2lk+qPF53VP5uLImB2dUAACAASURB\nVOzYWsrkzzfywNX9j/2m/opoQxjjgq2Y+1EBQWnhEBrYErkPQh0krtmC8EKds8wkJLB7vZdAgY3R\nWeLcIYjI0Wt0izfuKMf3sYXRReLcLog4pDOMePbu9kG+apWiANgFMh625lcyyFCizhLJFGcWhUND\niolLAwKwbUolcdlFjLYTm/gEtbCRzNHzWSfK0dOBSoGjTHClmUZrwsghwCw9j8JoA86ldoPQCuRl\nwHuoPHhdJ9ELYi7I3tT3ODVgDDAZnPshqsjJeKP+Bq4x7MLLHC0fqwxVrDUM8IC+AdgqkB0kdt1G\nkjywM6FrHWPZh2i2FVey9y0fRnepjPgi0NxgG6hK7sON8l7Uyng7tRvDMkjP8tDZjuBl1z68tkkb\nEcbZRhJJjbrXzcdKUcrCmEKMCyVIWPBlIbIcBsu4ow/+b8F/QZhaCPFnFOVOV9Q3xIVilD/1CMNq\nx7eoNv228PkCbNy4iwEDuh+RGAOU5u9jj03m5cnTcHVyYufYjD97FF99uwjvnbUi8dEzIkgKxpHt\nKsDfIYjngIuOtGbtj1NwOh1UVvqIiopACMGGDTsZMuo6At1DRGz18Nwz99K/f1cGDjw8afvLUVhY\nSr+BV1Iky7D8NrF6FJvXf0ZSUsPFRW78CIC8Ih+9Lp1C0aCAqpzVgW+BBCAeBmxPZvX7lx//3Er8\nTJ+/C6/f5IJRHejcLrbBMc1RbQpg40HDQrKNSgoI0aqq8rm60CqEzSYqyNOCpNpuelFbLRzEZgNl\nZDuCpJtu+hCDG40NlPGlnqdC3H6UsegNzucFN/jbkoKbbAK8H3EQ4wFZ36PIB89bGo+YR9eiXkUJ\nC5ILVWtWNf/IdnD/W+NyM41PnFkY7aQSUzi94XjtaRA2yP5gp4PIB32NwGFD4GpZG6WphgT+AhNk\nCj2IOmoxWhCb5/U9GNdI1Qa1EVgOzkrB4GAsfWU005w5lMYbGJ2kSmscgHaWm2toW6O7rC4tycTP\ndlGJjqCdDCMcnfnOQg51CWBdUFUHAFAAjg8Epl+q1IONWlptSF/mJj88pIxmIrAZ3As17jAzjkvV\n6SX3XkqvMmvvWSbEfeLknuDhIs3/tzihqk13NibPdfxwvLb2N1NtEkJsQKmMr5VS9qt6baOUslmS\nVC2e8W+MkWfczOZtu7nkwtP56N2/HPFYh8PB9JnfExwXItg1BAGY8a+FKjyaiQrTlYF50OSz+U/z\n7ezl/Lx5B73GdWTk8P688so0Ro7sX8/QHjqUjxajIU+SBH82uPzyM4mN/XW1WhMTY3nlnw9y+bWP\nYnezqdzh49ChPP7693f4ad1W/vHXu+tJOBaV+skt9DKgdyu+y8tUubmDKIH3YUAlxEa6j7lf+nCs\n3ZrPmFu/wOogMV02T7y9kskPj+KacT2O6TwaooaQQkM0WVjlQuNkYholqHCjMZA4qoIHNehNNF9a\neUoOMJYaD1NLFJQeNEjBTSkGIpaGRAmJEDBtbGQ9Y9QYlrtKMM6rY4gBuoHdVvJNZh7GWVKdf08j\ng70gLMHNVhs2rKmgcH2IONNJbzuK77QCDi4JKIasug76PohxOugTal4R2n58aK0EtK1yFvoBPcH8\nu2SUTERHcIWRyislmao4qy2QApn5QV4293KP7FBzDwSCDMLJkPVZz6400vliZw57n/OhtQHhF8gC\nSZTUKU6rkll0oDpFd0GxZigN6Or296FgFtisWV/KGHn0aMQRUffPpakNxB8J4r8jTB2UUtrVa5QQ\n4pjyGS3G+DdGbm4hVpxNVnZ+s44vLamoFU33gDPOwZ/vvJnHn3wDPV4nVGjw5J9v5eSTe3Dyycqo\nfPfdj1xw6QMYPUycTzuY/dXLNQVgp5zSgzMGDWLJV+t46C9X/+qGuBpz568gNNiAoSB0wQsvfMKX\nSxfh7e1nwmUPUpC9ACklD7y0hMmfbcIVo2GW26pYpyPKG0kF1oLmg8zUCpz9X2Vg/xTmvnwB0ZHH\nHhq8+ZnvqRhlqIUdoL/Nnc/+wCWndyY87MjFT14slmvF7Hf6SDU9DLfiayp266ISk0z8RKDTlrCj\nGsXDoSFIdrnIzwvVslRVgJkjScXNEq2IZVoxoVwJr6K81uq9xF6IdznRQke/pte0as9fB0ZrSck+\nQ1UVO4EFqFBtRtUBNujfQXcRSSs8nGl7IAQ/U8YH+iFEW5SX+R6qkv98oBicXwrGhJrPOOZCQwYO\nezGgZDqFhEKCvO08AANQIfDqlSwbyj6yWBQo5DQatkrVhRuNK410SjDI2hvAhSCfIAtiiuA6asPX\n7UD/APyZdoPeY6sNFGwOYRo2BvIXkbgMCMWweEYxxgRlgJ0zBKeEGkZsWvAfj+lCiH8BsUKIm4Hr\ngXeaO7jFGP/G+H7OG8yevbxZvbgAF44fzafz5uIfGkQ7qOEJurnppgu55pqx7Np1kPT0pAYFVJ/P\nmI9vYACGgOE2mfH1IoYP78flkx7lqy9/wONxMW/26wwe3LveuFDIoKLCS3x8zHF5oAAjTu3PlC/n\n4BMBnNt1+l7UhRnzFiKKBNHRasM4a9YS3pqzmeAdFkFpwWvAldSK3oNS7vkC9hSUYv8J1s3M5+VP\nNvD4zaq3pqjUz6ZdRbRLjTpqT/HGzYWKE6carUCP1tixv4R+3ZtuBwxh86Yzk8ruJrI35OwNsuWn\nCu4wM+pRTS7VilisFaO3BlkG4ZU61xptGjXaTaGIEH1D0Sz6uhB7l8CKkjjWCYbb8WwWFSyNL8a4\nXKrwfSaqz9YD2Io44/RQ8zy0BIeT/H0hlZuvix3gEhqBPFsZ04uBz1Ah1Bhw7RAk+F01WsKAYiNz\n52PeKGs3jgYwBbQXwBEUjLYSOekYWKvaEYanQsNYaqs2sAA4vhL0FlFMc2azW3qx44AzqO9VpgHj\nYPXMMk4LHtkYVyMOJ3E4CWEzTctWalB1baoAqz84cwXGTll7zyQ4twgqTZO/67uxAM0B3YwIJtip\nzabMPFXGQwn89HEZSBhoxDL0j5Qvhv+KnLGU8jkhxJmoqpcuwONSyvnNHd9ijH9jdOnSji5d2jX7\n+DdeeYSoR8OZM385bVun8ObiR2skFAcNanxxG3hyL6bNnYcvKkD4Dg+nXNeDNWu2Mnvhcoz7TYwt\nJvc+/E9WLv6gZsz778/ktjv/jhTQLiOF7+e8QZs2TbN0HQ1XXnk2Ukp+WLaWC+8azXnnDSMuPpq1\nP2/j/nsmAqrq2tuvqop6KWqR63DYiXRURfJLgAFWuMQXVGXMa7fmc9ptMxDxECqwefG+4dx8UW+a\nQlp6BAcPVUJ1Ks4LoVKLNilHjg5spoKKNFO1MgGyM4SCNqvXl3JaVbHUQfwscRdj3iYxowEJxlKT\n6ctyuCnUkB2sMawVpcxxFKC3Apkv6LQ5nFZS5aHT8PCsczfGxbI2/JuB4k6epgzKGaFEejTop2oc\np4USmT4zBzOyKuxqoP4GQQhpNo4vwbwGFaW4DvQp0G5XGCNkAu0Iq1fpu8JRjDGijiEG5VWfD9ob\nggfMDg0oLo8GpXrVhi+W5JC9KIAQyhC7bY1NGRXY0ah8dmNreDcIfmETwj4mCcQdVCJiUEvp4SiH\nNkYYB2f4MYdLZDI41gu0A4Ks1gHsS4EIsLfA1lleQlY2V1mtGzlRQwgEw2QCw4InTkWrBSceQohn\npZQPA/Maee2oaDHG/+FwuZy89PwDvMQDRz+4CjffdCGVlV7mLvyR8x8ZwcSJ57Blyx5kSFUqaxWC\nyIiwmuO3bdvHHfc/S/A6AxJh79IsLpn4CCuXfPCL513Nw12Xi/v6687n+uvOr/k9LSUJ504NA1vl\niPs1ciJQ/aNJ4JqskRgTxl1PKRaIW575nvJRISVEXwR3P7uYq8d2b5II5Pm7hnPd3+bjG2KCByJW\nO7h+Qk8S48IaPb4a+QQbFCTZ6VC0KVSTD16vl2MMkdSkjwXIoZC7JEglJpFH+aoFsJitFWDdIjET\ngVLY85qPsWYronAgkfgNmwaR1ySIF07uPsZin65E0tUfwZZPKpUXaKA2KTeAvRGSfnBR+raJpUuE\nCQNlLKfJxEbD7vl6qFZsoy4SQAowkb+o3jgOJzcabQlhoyPQETzr3I15VlVV9BHSqr/EzwpiIxKB\n7ajwd/VnKgWxHMbYCThsjRVLiinRDTqFIlgiirAvpranvDewB/Zs8B3zZuAPjf+O23QmcLjhPbeR\n1xpFizH+L4QQggfun8QD90+qea1Xr048dN81/POFj0lOieeUC3owffoCLrpoDJs27caRodcs9FZ/\nm01v7T5h87Msi7lzf8SpO3Cs1zBdNjKI4gVuApEOJ28/fhoXntYRZxXHdFFZoNY4xaqF3xcwmzTG\nl5zZmZTEcF75fD0VJQbX3NWdy8/uctT5diSclRtKYTjqG7MPxDJobdQyX0hkwwWlql+1OaU4lVjo\nHrCqvd5Y0CMFFaVmVe1xVS55ewh61o7TtkAH8xfqLzuB06iliazek2RASJM8FOyIz7QIQztiyDXR\ndlGQHarNK1ejGDQJnuMUw6hr0CxZVfncCVgODKKh5d0GrRxuXKFjW+E7EA77BZwnVUNKOuoe7YK+\nVjStq27QWLMV+WaQCBz8QFFDlq4o9Tf/Y5VgHSd+x2FqIcRtqEa4jkKITXXeikI9pc1CizH+A+GJ\n/7mJAf26M+7C+3jm+Q9xxThYu34il118BtZBW4XnokBsF3ToVN/VMU2T/PwSWrVSjaW6/ssW2D17\nDjH6zFsopYJgaghnKjhXa8RGuCj5OYTRx264uOYpb358HUMspeTiUZ1449uN+AZbePbo9O+dTFz0\nkX2w4f3TGd7/6JrJddGJCNr7w9j3ol/NLQKIge8rigjaNqPtRHpb0WxaWYHRv06F8hpIxNksCcNY\nHGhBAVulKsjaDbJSEl8n33xuKJmpX2VhFklkGujbwLVBY7j1yxihEk03+qFKrMNp0LMhwXaiI5o1\n96FGHLuXeDG6ydq+YxMc3wgG2DG/qshFNyLZvKwC+xxgMarAbDS1K1kWOGY1P3deF/G4GGTFsnpB\nqaI9LQV9J7SRYYyTqi5jI+XM0vPQYsAsB4+u4f/ZrtVKDgDrIU1z47b+O9y9FhwVn6DY+59BecHV\nD3yFlLKouSdp6TP+g2HUWTezOGKd2rPNht4Zndj40zSe+vu7PPX0u7hiHLhtF4sXvEWPHiqBW1pa\nQf9BEzmQmYu0JZrQ+Otfb+WRh65r9BqmaVJaWklCQv1CMCklnXtcyL4OWdgD6zx324AZoOmgDRSY\nI+rI7xVB+HQHT187lLuv6AvAotUHufHp78kp8GKEbGLj3Fw8qhPP3TuMyPDjV8eq22dc3SZkI3nO\nuQf/WFsV+ABUgPNfgksr0+hEOPP0An7SyxCdQJQInAWC68w2JNK8OWURYKoji4Bt4dJUv28G9b3e\nPIIsdxRTqIdoa4Qx1I7/xT2u5Ri86tiv2nWqGUbzwPm+YGIgvcG166K6dzeHIIm4KBEh5umFiPYg\nw4EdymO/1ExrlsCFgU0xBgfw4cMmHQ8dCG8QFvdi8o7zIN54EyNNiYZIG1xpQqVgSgVjzWR6HQeP\n9x68rHOWYwqbXqEoehCFjqCs6n6ZN0lViR4Ax1sgygV2O6miGpsgznByi9H2uCMC/2k4kX3G1kNN\nkJ0fJ/R/rP4t+4yHAFuklOVVv0cD3aWUq5oz/qjfYiHEWlSjwidSypLjmWwL/u9x+siBLP3nemyH\njSOoM/HScwBISYonZBiEikNcc+PYGkMMMH/+KvIpxpK2yimGWzz5t3e47JIzad++vpe5d+8hho64\nnpKSCoYM7c28b1/H5VLe3fLlG8irKMY+5bANYHegLdguCNuo41gvcWZoCL/AyrV54uZB3HW5soDb\n9xUz7v5Z+Maaql7RgLIlQZaszyLiKO1Jx4IiQnzqzKbQCBHm0DjVjMeKkrWGGCAKjNGS1XNL6GxE\ncJaVzAArlv1bfYTjoDMRSCRZBLCQbNDL2KpVIoCedhSjrcSafmWAdDw8aHYgiI3b1mqKpA7gZ4Wz\nmCLNINVyc6oZTyvz+FifQHFkTzTTmf55Dka4jXAIZJnkbDP5iIbYQvKpI4vMMD92F4m+XxBf7uJO\nI4O9u3wY2GQQXiMJeSRYSBZqhazSSjFdUqUqEpVaVZo/jElG63rGPAIHdxoZ7MyrpDjPoBVuYnCQ\nvy+EB40MwpvliZvYZBFAIEjHU29MRyLoaDRsEd2FF9GZ2pYwD5ijoe1MNyfticG7x6QD4TXh7Bb8\n4fAGirKoGl7gTZquhqmH5mypL0d13f0khFgDvA/Mk/+pLnULjojH/nQDPbt3ZMWKjZxzzlDGjDkF\nKSW33vV3ZAdlbF57+3NiYyLZsfcA/fp05fyxI7BzlWYtMYATNLegstLf4PzPPv8hBR1LsEdK1k7Z\nzvz5qzjvPMWbvm9fVtMVsFX9m1amZP2nV7JuWwERYQ5OG9SmXg/wS5+uJ3iypfqQAVxgniY5+HYl\nS9ZmMXJA8ypYjwQbyYfOQ5SPNmEQ+A/YLJpSiB7RyMQjwK/Vsnok4CIBFxLJCq2ExVoRMkKpMtEH\nxdMMrF1Rxq7NXm4zMnDXyYkKRD2Pai2lzPUUYIyUkAqFmSG2LavkUiONzr8CR3IG4TxgdCC7LICJ\nJB1PA03hw7GFCjIT/Bg3qQiGZUsKPw2xcXc5I+SxVQTP1vPZmFKOebFUMoZ+YCEYWXDQ4efr4hyG\nEE9aHWUKHfH/2Tvv8Cqq9I9/zsy9N70RQkICJPTeQToCooIVWQsquPa61nVXd3/bXNfeK7sWEBuK\niKKIiiAgVUAIhE6AkEZCerttyvn9MTe93YRg5fM8eSBzZ87MzZ077zlv+b70rZM13hJJyj2U8pnt\nhHUvmxJRJvid3pGOBLDClkeqqCBIqEzwtmNIjXKsQFREeZ3ByiFU2ixxl9O0nl+JR19Kadb4vyGE\n8Ns90qwxllIeAv4qhPgbVpXmPMAUQswDXpBSFrbimk/zE/DQf17nmWffIS6+PcuWPFe7xErFygTt\nA8TCU3PfwTNWY9lb60hOOcjWjW9z131PsemNFNQAhQljhtK/f906JGgXFYG92I4n14tZYVJaWoGm\n6djtNnr27ALZlv5uPYOcBbSDrp3D6ZUURa+khuss96YXYiTWmQcKkB0lhzNK2sQYl6LjUo3qFodd\nQUkE/Zivj3Hlc1eCbZugrye03hjbKWFNWIHVoOAgllzjhdWvmxdDRYnBjiMldCWYLxwnyNRcOFSF\nkWYkk8xodCRfqnlW/a4vBCqTQOss+XRhDn/UurVYVKQhFESLVnP77eVoI6X1ma0GckAPl+xQS5io\n+2+My9FJFqUYs2V18lgQVv7py2CqsLt/OfuPVhCrBXC1llBPVOM4bjJxE4RKL0KazV7OwcOnjtxq\nmU2ANMmi97IJlAoVQw3MUeAsMfli6Qn0MskIaQlw9CYEW7bA+5YvWS8AbKkwRv+N1QSfpjGOCiHu\nwlohC+A2LKVzv/BrPiKEGAw8CzwFfAxchpXu821Lr/Y0Pw3JyQd48vkFlM1xkpqQwbW3PFT1mhCC\nv9x7LeIzEPMFSo7AM12D4eCa4WHxByt59sX3eOShO9i4ch7ffPwqyz55HkWpvn2klLz08gesXr+V\nWFc7gj8KxFPi5eZ7/kNswtl89NFKRo0aQJcOcagblNqppslAFkSnB/LRY+fRFKP7xuFIr3PbGkAa\nDO7tn8hDcwSiYGqyut7UBFEsGCTDsf9PWGU1e8H2riDimK2qXV8lEslqewHa73xGNI1qlawaaEMk\n+xxlvGlLJ/0sF+aD4L7FZFNCEZ/ZcjmKEzWO2rKSAF1BCzTJbbC34KknwrAhjmGJgQwF7gQmQ7Gq\ncxSn3+Nk4cYWB/XmAQJrYtgb5GWg3S853t/NEntO1S5uDObZM5gXlMHXA/P4rHMOT6mH2U/dpWtt\nNtmK0MfK2qVYSaAPk1QEGlZNe3ugO2iXSdbaq/NvdCRCEVb52kggGBSp1BN18WDyAyWsJp9jOH9z\n0patQhGn5ufH5VasphBZQCaWH+xmfw/2N2ZcgiXr9YCUsvIJsFkI4Vc3itP89JSVOVGCBESAbCcp\nPVj7ofXww7dz6aVTOXQonUefns+O4gPWC7lg2iTzjnzGB9NWsH71G/WUuwDmv/U5Dz72Ms6JbtRU\nBRkO5k0m5cEuyITf3/RPUlMz6NSpA4UppRQkl6B11OEEUASP3DKGe2YPbbZN4t2zhvDa5bvRwrzI\nIYATAteojOgVy/B+jatotYRAVMbLdmz8XxHaIIk9TdCxLJCLzFgGO8P5fmURTsWgryeUYUTWcjMD\neJE4DaO6NjkQGrQRZVBq6hiDpVWiAxAD+lWS3c+U0ZWghl36P3EVyEgzks37i2Ei1TH0viDdsPbL\nArp6/Su1CkBBVjTyYgXVHggFjOlwdI+TUnTCsfGpPYesPi6MGVSrZWXBx28d51YtkWgcVcluOaqH\n9oaDcXo7ClUvsmP908kEoG41X3ufbKiPH0QJnh5mlfgLfUGXJpuSizjHtCaCJWi8ZkvH28VE6yjZ\nuLOIga5wLjJqq+QZvgQ4E0kiQc2GBn71/ArevpQyF6sDdqvwJ2Z8mZSy1lK7skejlPKSxg46zc+L\nsWMHMXbwINa9nAw6PLv4vnr7DB7ci8GDe9GrVyKTzr4ZPdmgLMdp+UF6g8flZfnyDQwd2qfesV9/\nuwnncDf0AeMrEy6nusSnE3gGavzjkf+in2UQVBGALJPWqmowkAvrd2Wz6+F8CsrcXHVWb+Zc0AdV\nrf8NTYgNZdP8y7n7ubWsfS6LwCCVay/qy2N3tHxeKKVkY/JxFn59AN2UzJzUnamjLbWsyWZ7OpUH\nkb3RTTg2BhGOgiCRICI1O3YEodjQkaRQSgUGnQikI4FsEAVIgTWFjcQSJfkcqz64MsxbBmyEIkW3\nGn7UJAhsYYKIIjtGDlCAJX9ZSRrY3IpfCVKngnY4aK84yIutUxgeC8VCa/igBuhCELZyBW+qYdUN\nV1IM7AZuqbEtANRIQVGehgKkSifG+dSWrUwAY4Tk+y1F9DBCWGTLRo8HiuCE18s+tZx4rwPlMJi9\nqYV6CMwSwEn1fZsMnWxBVfXvx21u9B61V7lmd8je46bSSfGtLR/nSAPpU7vVJkhSni/lDCOSON/n\nVYCXt+wZeMIlwgaiAObonUioERc/zS8HIcQDUsonhBAvNfCylFLe5c84/hjjxdTOEKvcdmp6Xp3m\nlKCqKl99/jJpadm0axdBRET9OGdhYQnZ2Xn079+N9MNfsH9/GpPOuoUKxQUVEJgVQFJSfIPjjx4x\ngGUvrsMZ53sw1anmMW0mBCkwDMQxQVB6IGUxFdAN1A3wzYkMjPEmMho2vXmcFVvTef8/0xo8V99u\n7Vjx0snNA6WU3PTIKj5cfRDnIB2pwvsPH2Bi7wSGY9XY9iSkVpJUGToL7BkUKzrSgF4ymCJFp6C9\nFzNOouwTtNPtFHbUkCFYoniXYkl8DsLS3u6Dpdp1EEt328RakdVsslYORqkkjgDOMWL45o08tClW\nApdIA9t3gvO1DlXKXm0RN24pfb2hFO4swuhVbZxECnRtgQCJguAyrSPvf5CFOVRidMfylGwCzoRa\n3n8vGMWSSGwUoaFGCvTA+u5fMxFytnvYJUrRg7ESBi8AgkDuh6yVXpRtWBrWA7HCJTvAtk9BIHG/\n7MuYLwIOQ+8aWdWdtSAO7KlAHyarvBPqPkGit9rPnqa6rH7OlQSC7AEZu11VxniJI4eyM43qLre7\nYdHSbO7RutaSGf1N8SO6lIUQaUApVoBLk1Ke4dt+J5Z4hwF8USljKYT4C1bTBwO4S0q5os6Qe33/\n/tDA6fyOUTRqjIUQfbEiXZFCiJlYt5/EipicnsL9xLhcbi67+kFWfbOV/gO78vnHz9OxY9NCB0KI\neqVIlWzYkMy5598JAdCvR1fWr36TESP6sWzpc8y49H5KneW0Swhn5MiG2w3e9YdZZGXnseSzb9E7\nGuRuKsB7vm65n8qBbeCQNmz/VYkIDOOV+Q8w+9q/4/W6kQK0maalgwxU9NFZ+vIRDqYVNZrIdbJ8\nteEYH647SMVNelWbwvJRGmvey8RGNMMayI5dYj9O4XAN81xAgwOvVEAUmNdguVKHSnLf8UKl8NkH\nwAtYhtaJ9VXOwlJ1uglLIKMCeAVYheUpKAH7csEIIghC5QwZSYzLwYYVhRQqGrFGAA5D8ImaAzZw\nmILpWgcGnkRdbWsYLaPYebAU5zsGWl+J7YjAcVBhktGybOquBHOHnsSWH4rJ3OUi1LBxQJZj1JRF\n93WKSiSICF981iiRloRnnWo2cRwCdQWPQ8IALIHCSkYC8aDMF7T/wkbBMg0kxKoBDNHDWRmdb7mg\nD2N5IobC9x8XM85rKZkMJYKtGcWUvq2j9ZfYDgmCj6iMqtHUob3poCRLt4y979qVLKrEWwwk2Zq7\nOiwB0B8qPjcoQW9RU5HTtBoJTKqZfCyEmIzVY2yQlFITQsT4tvfDcj33w8o0WCmE6FUna/pz379v\nncxFNbUy7o2V/xlBrTxQyrAeJadpgAULlmGaJtdee+FJdz6qy9GjWfz70de54nfnsGXrHlYd3IL7\nNi87Nx3i1jsfZeniZ5s8fvXqbVz5+78yZswgPl74ZK0ErIefeIOKiS4YCvsXpLF+fTJTpoykfftI\nvLqGPB+yik9w5tSbyTjyBTabjZycfJ54agFlFU7uvO0Knn7iHp5+4h5KSso5a9qtbH9+PzIWyAAl\nWnD/dbOZNetcunVLICgokMIT31K04Q3iprxRW0rRAfZOCvuOFp4yY/z657upGF5tiAGwgXOUzrbs\nYoZ56hvj43gwR2NNSx1gdsCKC1f+GQOxxqv0CswBnsNyV8cBd2D1aN5BtVJVCDAIIjfb8Gw2CRQq\nY7yRjKyxLOxKMF01a8W5SRTxbUw++tUSIkDPkHz2bi7tPI4f1c0ZjMrtRs/72wAAIABJREFUWhI7\nDpeQme4iTg9kmIyoVTfdHAYSBYjEbsVcfa7ew1Tw4TvZ0BHM9iBSob3Hwe80K9gbgZ1OBJL+rQvz\nHKpj6AWgbhL0NUI56HVanoe6JADRMDU3hgSCEECwobKRQvRuvsSuyvmqCaVeHYlEIAhA4RYtkR1H\nS8jIdBOvBTCMiFqlaFO09qSvyEB3+5pJbBG0L3fQ1ef7VgC7KvCWyOrQgxukbiUO/mb58d963Yfz\nbcBjUkoNQEqZ59t+MbDQtz1NCJEKnAFsrhpIiM9rjFO3VkRKKS/CDxo1xlLKT4FPhRBjpJSb/Bns\nt05KSio33f4fhIChQ3szZEjv5g9qAf/3z1dYuHYFny5dy8xLJuOO90II6F0MjqUeb/b4F15dSG7H\nQj7/9DsGjZzFxHFDeem5P6OqKl06xeHYbMcbqaGXGMTFWU+K7dv3o/ZQYIBVf1u8tZy8vGKiosI4\nY9zvOR6bjx5s8MGkFezctpDu3TsRERHK1o3v8Nxz7/GXv72CLVQlPiKGe++9mnbtqo2c3W4jpl0w\nPXpEcuhgcXVrOhd40w2GtDI7WkrJ8nVpvPrJLk4Uu5g+MpE/XDGYDtHVLtQypwYN5XsFWi0TGyJU\nqLgzzSr3qfCC2IVloB1Yq1wPlrEdCjhBMUBkgjHe2kdkgMgGuQLkYCAT7D8IrtQS/IoBb7IXoV0o\nq5ObOltxye/XFDFTbyAz6RQSgMJookBr2YTpCE6WO3LJ92oE2BTGmJFMNKOr3O3dCeF+ozsHMyuo\nyNTpSCCdCaxy4RpIBmlhHN/mQT9oYgwAtVAg9sE0I4b+hLPUOFFfM9qHEg7uXJOQGkY0jkDUgwJz\nmqyOQ6dClMOO8PWHzsVDDh6icTBCi2xQXCSBQG7QurB+bSHFqkZvbwijZFTVexMIxppRbHi/CO18\n61y2bwQDRNivTrHrZ4zEWuEawP+klK9jadBNFEI8iiVqer9PAjKeGoYXK0u6rnvxGd+/l2BNu9/F\nMshXArn+XlRTbuoHpJRPAFcJIa6q+2b8DUr/lkhK6kivXl0wTUm3bi3TP/aHS2dMZenS77h89lSu\nm3MRH0xbgSyRiMOC+56b3ezx9/7hKrZcs4d8WzF7Eo+QtjSbc6aMYcaMSTz9+D0U31bO7t2H+dOz\nc6oUuIYP74uZKiEFlGKFqIgwYmIi2bnzEMVaGfq5VrapWWryzTeb6d79UsByid9332yuu+4icnIK\n6NGjM3Z79e22a9chQkOD6ArM/dNkLrr/c7zHDfQgSchOG9fN6EdifOtcr3c/s5b5K/ZScYYOHWH3\n9gLmfpzClgVXVPU8vmRcN9YvycbT36g1j3XsUejtrR9PB5jhjePtTzORuwEnBGUrdCKIQ89VoIQL\nzALJ2XoM3y0vwP2VialJRhJBiEtl42vFeA2T7rYQJmvRbNpSRNo2F9HYmaq19zsZy2OaUPfywsCp\nGA3u/3MjBw8L7VloM6TV6rDAZMPiIsw8mGJWh1kcKAxooB2kB5N59nSKojS8gyTiGIh10NcM4Vw6\nEIYNDyYOh8B7VFaFPqrQwUyHjnW8CF0JIt4ZSPY8N9poiSgC23rBed4OuDBYaM8iW/WgdAGKQC0S\nXNGAXClAHAFcqncEveG/wZlmNCEFNr7/sAgDyTBvBGNl6/TFfzW0Ucx4zdES1h4tbW63cVLK4z5X\n9DdCiP1YtjBKSjlaCDESWET9hq6V1IoDSynXAAghnpFS1syl+sxXjeQXjWpTCyEulFJ+LoS4tqGL\nkVIu8PckreG0NnXz7N17hLVrtzN4cE/Gjh3c/AE+evabwZHQbAIPO/h66cuMHz+kyf2/+moj/3nq\nTaIiwnjh6fvp1q0T2dl59OgzA9c1HgiBkPeC+PB/j1WpbTXFo4/P4z9PvQk6LHl8GueOS+RAWhGv\nLdlNYZmby8/qybRxia1y86ccymf0DYtw3arXql9V1gousHXl06cvAKDCqRE99X94e5iWO1MFtkHE\nQQc3FXVqtOVhMRpHcGJH0ItQHAhO4KUCgw44CMWGiaQMnUDUemVPLcWLyV7KyMdLHIHstZWxb2R5\nVbYuBtjfEAw4HobTbiCAfloY/XypXT83ltiOkzKxDDmxxsZCcLwqeEDv0ayU5VfKCbb2LsG4vDqJ\ninyw/Vdwj94VBcFr9mOUROlIE/g91e0NTVCWQeeUIK7TOtcbW0eSTAl7HeWEmSqj9Sg6Esh8ewYZ\nA11WDXKNVbP9A8GdehLhv5E47ynVpv5PQzGFk0f926Ymr1kI8U+srJapwONSyrW+7alYdcI3Akgp\nH/dt/wr4Z0N600KIfcAFUsrDvt+7YSWC9a27b0M05aZuk6D0aU4d/fp1q6Uh7S8rv5zLa68vYfiw\nvs0aYoBp08YybdrYWtvi42O4645ZPPH0AjBhxOR+nHde8+VFq1Zt4aVXPsTV1wMqfLbuCOeOS6R3\nUhTP3Dehxe+lLp98exhvf6OekIQ5UrL8+TSklAghCAm2ExcTQross+bAJtjsgn/fPJqiJ3IaHBus\n+Gbd5K66q1oFUZVodDIUo/GGLR1vvIm3m8RxQBCUpxKyTcWbYeLtIrHvEZguye5OpWjDAQlHfnCy\n6kQ+N2idf3aGokDV6tf5RoEuJV7MegpbddmplmJMlrWjcu2BnrBvXzl5ipfS/jryYqyuTq9gaZjb\nQd0viPMGMEtruCLAhmAEkYzwVsfr8/CQpbgxz6N2GVUPMAdKtiYXc5ZsG7GZ05x6hBDBgCqlLBNC\nhGCl+D2EZZCnAGuFEL0Ah5QyXwjxGfC+EOJZLPd0T2BLI8PfC6wWQhz1/Z5EW4h+tFVQ+jQ/PwIC\n7Ew6czjjxjVviBujosLFi698YJXuhMHWJXvYseMAw4bVr0Gu5JHH3uSx5+fj6uGFA6CUKxRNcTPq\n+g8Z1TeWv1w7ko4xJ6e3bJoSqTTg7RFAHS/QzRcN4LElW6k4T0fkQ/BmO5ee3ZPXmzDGPybL7LlU\njDGQU6zfvWdK9M91BiWH0S0zhKJMje1qCSWTdSsm7cM7TKKv1lmwPpNEgqhQDXp4QxhMOHYEuyhj\nfUAhpaZOpGJngqcd/Qn9UcpqErUgcva6MXrW2HgMghWVQD9aDupSWolyBla3r32ACXq5xIXBbrUM\ncyzW5z0JqwBzP5AKSe4g5hgtk0vNxYvSiQaflEZPyNzjbrIP92n85McrbYoFPvF53WzAe1LKFUII\nOzDP14/YC1wDIKXcK4RYhFW+pAO3N9aXQUr5lc+QVyYL7a8hktUsTWVTt0lQ+jQ/L3Jy8ukz8FKM\nUJNu0Qkkb32/Ve7gnJx8XLrHuu0E6DEGqakZjRpjl8vNQw+9jnaHbhXHTQb5vMniY6nogyXJh/P4\naHYqBz6eQ3ho68UsLprUjac/3I5zQu1MabEdzpnQpdZ7/cv1IwhwKCxcdZCYiCCemTfhpCcDbYVE\nclh3Ims6JASY42B/SgUzzI5k4mJ9UGG1hnYNTBsUODQKR2nICDiyy8n6zEISjSD2RZWjnWPVLedm\neVj6dQ7ZpZFVKlJtyXHclKKTQCCh2BhjRpGcUopbNTAHAifAvkowXYvxazLQnWD2b6uwstIFVqKc\nDdgBm+3FVmexmivYMKp6DQccUSwj3gJCUKGQBvXURT6Em6dbwv+SkFIexZLhqbtdo7oose5rjwKP\nNje2b6V9H9BFSnmTEKKnEKK3lHKZP9fWlJt6je8EJxeUbqDAWgjRDkvZNhFLufdyKWWxv2OepvWk\npKRihJqUz3KS8mQqbreHoKCWl8TExrazPtGlQBjIdNmky9vpdCNsojp+ZwcZBvoIaWkt9zIpW+zl\ng68OcfOlA1r13gCG9e3AFWf1YtHbB6kYbRl++wGFkP02np0/sda+Qgj+OGc4f5zz0+rX6Jgcwokb\ng84EVfU/FgJkXeOhU5WZm4MH2ZX6ZSEFWMIZt4H05cBpQyWly3VSksuQN1GtFBAOWhfJlueLGWlG\nEtVGbm0PJu/YM8m1e1DagZEDk8xoxpvtuFVPZP2OAo6muIiQNsZ72zWYCFVZUlSTqXoMBzdWYPbB\nqgmufO8DwbXGIHijindbtQIWACY4tggGaPUTwpojkSAc5Qre/UZ1tj9AOdg2CUbqkY0ee5oW8OPr\nSJ8K5mMJf1ROj7OxBLL8Msb+ZHgECyGqchJ9QWn/ZXaqC6yHViqdAA8C30gpe2HJHTzYgvF+1Ugp\nefmVD7n/z89RWtq06H1rGDduCN2iExBPCq6/6aJWGWKA0NAQ/njPbEiBwOQAli5+hvj4xldW7dpF\n0KdPEraVNmulsRVL9rBG/NAdoZOT35hYsf+88bezePPuqYzPiqff9+24vcdAdn1wdatrlk0kqVSw\niny2Uoy7pcurJvBg8po9nU9ij/Nl7xP8136MfZQhEPRVQlFWUZ27aYJtlWCwYRmVABSUhhJH92AJ\nXtRJRpcTsJKa6n7kISD7S/Y102ShJaxU8zje04N2v8Rzo0S/U7LWUUA2lrzoeUYsd3iSmO3tVMsQ\na5h8pZzgUdsh/s0hXnekk0l1q84o7ChSwFnUe3rJceDGJGCLQFmGJbByGGxvCWKLA+hdLw29eRQE\ns7R4HB8LbIsFpIBYA/aXBWM8Uad7F5+mJt19FUheACkbVV5vEH98LCcVlPZRd9pzEZbgHcACYA2n\nDTIAmzen8MC/XkKLttoOPvbInW06fnBwIMlb32/1irgmTz9xD48+fAd2uw0hBNu37ycnJ5+zzx5d\nq4ypkutmX8h/nn6Tsp1OOneJJdOWi8epWcahFAL32ph+e1Krr2fl5nRe/ngnQQ4bf7vuDL7736Wt\nf3M+TCQLbVkcC3XhHSSxHxd8ezSfG/QuVStYJwaf2XPIFG5CUDnP24FEP+er60QBBT206uzgbFjy\nZg4PGqGcr8dyIsVLyRENs7MlhRnnDmCyrwSoF6GYmbnW5KZmZYwODVZKBWB5MxpwuZqB1gq9rdij\nlFmJVpUGMwK04ZI9G8uIl4FVnYzqrnw/sGdzLNGFPl1COGTtdrPgi0xu1LsQSwBeTKTw9T6uix1s\n4YIZ+XEc3e7kQEo5dhSGecIZScN1wf7QiSDu0ruyfU8J6QddhBs2hhuRp7Wk25KfX+J/a/AIIapm\nZ75FbJvEjIFaQek+WF/jFgWlabjAOtbX4QKs+HNso0f/xoiLiwYv2PJUevao20GgbRBCnLQhrsTh\nsNyaixZ9w3W3PYQSrjBxyFC++OSFWvs98vg8Hnt5Ps7RbkSZIGdrAX+8Zw7PPrcAR7SKt8DgrzeO\nZOSA1t0K336fwcV/XoZroo5wwxfXpbFz4VVVdcWtZT/lpEW40G6TYAMNibZB8sWaXH6vdcZA8pY9\ng/yBXszRUH7C4N2lWdygdanSIm6KE3YvRp8a2cHxIG1QYeiEY+c2LZG0YhcFxV5iCaglfhGAwlSz\nPavm5aNdIq2qSIk1udmINd2t+Q3fCSLQl8dW0y4ZYEsRdGuRw6tpVCEsucoaKB4olwavO9LJ9roR\nCvRQQzhbiyHG12XpmOpCnyWrr3so6GWS774r4DI9ngAUVBSMfLN+a0kP6MWSBALpY4Yy3dM2XbwA\nQrExUUafTtY6Vfw63NT/Ar4COgkh3sdSH7/W34ObyqY+S0q5SgjxO2rPpbsLIZBSLvHzHA0VWFch\npZRCiNMNP3107ZrA3l0fkZ9fzPDhfpWnNYmUkoULv2ZH8gEmnTncrzrg1rB46Sqco90wAL55oV4J\nHk88+RbOOW6ItmKBTs1NUXEJx7++0ZK9TIyiXUTrJwj/W5qCa5wOw62b1Vts8OnqI9w7Z2ijx+xJ\nLWDXoXziooM5c0QnlAYeCAdsFWgjZe1vyjA4tspqf3cCD8WBGuYFWLP7DqDlSXasK2G62bwx6KA5\nOLzPiTHIZ5CzQOgQ4juhgmUkGzOUo2UUIeUqqz7Mp1wa1opTgCGxIlhnAeEg9loNJiKxU/ixhjFN\nWvH7UrAtE4R5bawIyCPcsDPOV197MozQIli3vAj9KmkFtdJB7IA9AWXo50noZ0lAHtxWQdpaJzfp\nXcjBg9KZek8l2QOyN3iq4uUjzAi2LC+2JEErk7UkKKsgSQQR5pfD79RSgkYKpbiR9CSYLgT9dptA\n/AYQQihY/prfYdUnA9xdQ1azWZq6aydixXMvpOHOE34ZYynlcd+/eUKIT7B0PXOFEHFSyhwhREes\nXi31+Ne//lf1/0mThjNp0gh/TvmLJzGxI4mJrZM2NE2ToqJSoqLCURSFv/9rLs/Pf5+Knm5efesj\nXnr8T1x//cVV+x8+nMnChV8xbFgfzjuvYUMtpaSsrIKwsJAGM6+llJQUl8G34Nhk48JLJtbbR/PW\nFuGQgZIKp5uIsABGDzp5GcfQQDtKgcD03ao2l0JwI72Ri0rdXHz/Mn44cAJbooBCCDUcfP7shQzr\nW9uAhhkqSgG1HbglYKrwrHqE87UOlhGu6WazUXUdzTFRRnPwcAXFczWIBPMozDTi6rlUJZLDONlh\nK0EXkgFaGP0IQ0UwkHAGeMMoR+ctWyaFwzSrYjIZa55ebF2erkvcDpO4fQ5y9nlQAgTSCwGKQkmc\nRuEYDVHo5sB35VzpTTiplfJ4GU3pcYPkZ0pRHKBqgCJwzzKhq28nOzABvIrk6zV5TNCiLT9Z3ZV7\nDkSZ9qq/Q7CpYGRIeBEYYY1j3y4IL7IxU/txJUEbYg+lfGLLRQ6QGGHwfXIRPV0hXKp3/Ek6bLWW\nozhJw/njnOwX7qaWUppCiD9LKT/Ez4StujSqwNUWNFBgvQKrwHoqUODrAfkgECmlfLDOsb9qBa70\n9BzOueAO8vOKeXf+w/VENVpDebmTsZOuZ//eNHr06szm7+bTo98l5F1cZOkwH4RhR/vww8Z3Aavc\nKCHpPEq7lROQ6uCT957mnHNG1xrT5XIz6exb2L51P/FdYlix7BV6967tPt+yZTdTLrqVigvcqAsU\nSorXkJWVxxPPLKDC6eKmay/htfmf8NmutbineKEUgpcG8MnCZzg77uBJv2+AwxnFjJjzAd6uJsIN\nsa5gkt+7irAQR719J936MZvlcbxn+8pgJLAXIlY6SPv8Ol4Yv7pq3yI0XrWloc205BspBj4CBoAw\noet3QRSgUTpeR47CKtV5TzDb04lEP5N7dF+CmAeTTgQSXaf/pETyuZpLSkgZ2jhpGZ/vBR0LA7hG\n64zN94A/hov3wjPx3lvD7f0dsAs4D6upxXGwfy4YVBjGeCOaE3j4OOo43jtrxHf3QOxSB7d5k/z7\n4zeBGwOn7+ftsEy898n6GSRuUJ6A/5M9mGs/RsEZGnIy1lIhG+zvCK5yJdCVYL4XRayMyEe7Slpa\n4HuBXHBkCu4xuxL8E6+KPZg8rR5Gu1FWJydqYP+v4OKCuAYlPn8pnFIFrmdPjcdOvW/9KbnmhhBC\nPA7kY1UKVSVv1ewO1RTN3rlCiCisAuikGvv7q03dWIH1NmCREOIGfKVN/lzsr4lnnnuXQyEZmH1M\n/vDHJ0md9ulJj7lkybcccWWh/Unn2JLjLFq0kvYxkeRlW8ZYzVGIi61ucZeXV4zL48aYaqLrBikp\nqfWM8fLlG9idcxj9QYP093MYPOxKtm5+m4EDq7vBJyR0ADcE/uAgMi6M3NxCRo69hvJBTswgyeeX\nreO9eQ8TGGDn8w/WExwSyBMv3sk554xG7mobY9y9cyR7Fs1m6ZojBNhVLjunZ4OGeP/RQrbuzcV7\nZ416VAH0B/c+g7eX7au1fxR2rtYT+OzTXIp1DalYblPGgNwHbsXkOk9nFm3IJnethwBV5QKtg9+G\nGCzlpz5NZPpm4iYloAztdlmVCa0NkRx/w8Ou7NIqRbBCvMgEqo2dCyt2fBvVjSW6gHa9ZOczZZxJ\ne4rQMLrK2iuTJCgw6gR8W0kgKoGoVOBC2AU0FJFyWPMhE/i91pmPtmSTvcWDEgCKWzBNj6ErwZhI\n1toK0C6X1U0+fKts+S7sSi2lL2FtIkPaWg5TgRJPrSoB7KCNlyR/WcIA7y/XGJ9S2rjD3U/ELKxb\n+Y4a2ySNa1zXwp9p5HKsqsVdWN+Xyr7GzdJEgXUh1ur4N0vf3kkEfuTAKDHpU2el2Vo6dmwPhRIO\ngigUdOzYnnfffJip02/HtdpD+3YRvPLtA1X7d+4cy7RzxrL8uQ1ERYVxxRVnNzimN0+zVIyKwdPN\ny9zXPuLVl/5StU9CQgc2fjefdet2MGPGJN55ZznOHm7MM63bxBno5vm5C1nz9Wstfk+frDrMqq3p\nXDWtD2OHNO2CjO8Qym2XD2pyn92pBdi7KLgauPM9iQZb9+fSo872JIK5y9sVLyZZpov3D2cj3gOZ\nAZO80URi52av7zNsu4TkKvaJMrThsnZJkgLaWMnOz0oZ5rUsbXsckOG7BgWrv0xHqNeaOQiUJEhL\ndRJLAGqqwDBqxF8PQ4zqaLFARlPEEoBZKqGI+pnQB6C93YHdq2BH4XqtC6VouDWTaBxVLvsKDLxC\nVvcKroHWT7IiI5+VFCB1GCjCuEDv8NPoc5/OgPlNIqVMOpnj/THGAVLK+07mJKepzy23/I6QkCD2\n7UvjuusuYuYVf6LC6eJ/L/2VpKSGtXOb4+yzR/PvP9/KR0tXMuOeyZx33jiEEORmriAvr4ioqDD2\n708jMjKMyMgwhBAs+fApTpwoJCoqvCozuiZjxw7mwrMn8umKNcgBkoB8B53i62c8DxrUk0GDevLJ\nJ6uZt2ApZkgNq2RSq3eyv6zbnsWch7/GOVTnrT/s4+CSa4jv0PJa0ZokdAjFzJMNlvfYCxSSBodj\nNSCujwOFroRwq5ZI9mE3cQQQ42e3pbpIJNl4cGIQT0BVwlbDiIYf8GbtBW0nAmnvcZC7zGP1+bVD\nYyE/4QI7giSCiHcFkvWmG+0MiSgA22bBdK3x5DMNk22UkBJQik0qjPRGMICwJhOUHCiMNaPY+H4R\n2uwaLSCzQfkMenpD0DCx+95ROPa6ZdIEoFgiKE7qKx3kg9kLzJkS9sDOlaUccTmZ4GnHYMJxtNIo\nSyQGVIUCmqM7IZg5wHFqu6nXC4Z6Ty6z/1fNr2Bh7Ctruh0Yj/WNXQfMlVK6/Tq+uZixEOJ+LAWt\nz6lRM+WvH7y1/NpjxrquM2z0bA4dziAkKJDi2HLMEJPJYcNZ9eV/2/x8Xq/GGeOvYX/aMfQyg4sv\nOpM3/vs3oqKab1Po8Xi57uaHWPXtFiZPGsGCNx4iIKDaBazrOnPnLmb5ig18u2Yb3vGaVTk+FAiB\noK0BLFvyPFOmjKw17rFjxzl/+u/JPlHBE38Yx40zaytvzftkD3ctWotzpk7o63ZWPTuz1aVPlUgp\n6XbxW6QPKUPWTLTOg6AFNvZ+NJsF0zee1DmaowAv79mzKAvQUcIF+gnJGTKCc4yGJSGzcTM/KAPt\nTllthHSwvy64IDeWwTXMlhODpfYcUk0nqNLKqr6S2o6y42B/U/AnvTsOFAwkOylln6OccMPGaCOy\n0UmGiWSePYOceA/6WAlesH8rGFoaznlG05+NiWS1WsAmilCiQdMksgJEPNh1gcgRzNYT6NyEi3+R\nLZv9g8oxL6T6AV4EvIZVRPI9kI4lgRkE9h2C4EyVm7QujXbiaggDyRqlgC1KMR7DJNiuMsnbjjMa\nLHCuzV7KWGLLQfa3ErjsyYKe7l9eAlddTmnM+IX6SZ9tgXr3dz9mzPgjLFtZKR19FRAhpbzMr+P9\nMMZ/AB7BSl2pXO5IKWXL2wW1gJ+TMc7LK+KB/3uRC6ZNYObMKSc11tdfb6KiwsWQIb3oO/gyvHdr\nKE8J1K4qZpjk3IRRfPHpi2105dVs376fcdNvwH2bB5aBmqswvu8Q1qxoueu4Lldd838s3bwWZze3\n9TAcA/QG2+sqMy+ewj1/uJIxY+q7jy+76gGWZK7C7AeOBQonVt1US5e6uNTDmOs/5HBaCWeN68yy\nZy9CVU/e7bj7UAGTblmMJ86gorNOQJGCskcw9y9TuOaCvvx78FcNHmciOYKzqsF8L0JaLCRhInne\nfpTSqbpVVyCACrDPF5yTH8NILHlFFwaFaERjJxCVr9QT/BBQgjZaggPsWwRdyoK4Skto8BrcGLgx\nycPDIttxjOESMwlEFti+F8zQYulfb+3ZPAcpZ3H0cbx31Igzu8D2rOBOLcmvblUeTN5WM8nu6UZe\nSrV/7iAELFK4X+9WtUKuixODefZ0SqN0vAMlajGYu0AOxEqw+wYrw8VBlfCJ8gX03xHG73T/M60X\n246zP74c/UJp1TMfAz6GnuXBXC2bbzZRikYKZbgx6UlIrfrwArwUoRFLwM+iDMtfThvjphFC7JVS\n9mtuW2P4cyf8EUvmK781F/hzQdd1nn7mXVSbwn33XI2qNt2qrSZvvrmUtz5axuLFq07KGC9evJLf\n3/4vcMA/776Z4cP78v0TKYwY1Y+hQ3rjdLp56rG7Wz1+U3TrlgBOaSXdHwDjApOty/ee9Li6rrNo\n4TcYfzKth18CVpZBItiEjf++/JdGV9+qqiB0AV6rraGiCPYeLuCah1ZQVObhyTvGsfejOZRVeAkL\ncbSqoUVDDOgZTdqy63h/+QG2HThBlx5h/P7ffekc13hyjQeTt+wZFIR50XtKbGmCkEIbN2qdm3Ex\n1+YoTtzhBoyqsTEEtPMlGxcWMdIbyVqlgHVKIWqowCiXTDDbMc3oQD9nGDvXlqIJk/56GD0JaXSl\nVZk4FYmd2/REvt9aTE6yhxjdwSgjkmBsfKrmsIcyDClJUoM5R4tpVqjkGC68A+skfAWBmgBZaW6/\njLGOJEd4kJdQ+wnUC2Sc5EBmRaNZx8Go3KYlcfBEBWmrnQSbKh5MtlQUo2+Q1nKhUm8mDpgA5kTY\n+0MZM4nzq9a3CI39ohx9tjXxAaz01Svh0FtODnjLm5XWDMfOuFqyaJZ7/0N7NmnChRot0PMkw2UE\n0xvxiPym+HW8/e1CiDFSyk0AQojRWFrVfuHPU+QQ1BCH/YXy3nus5zOyAAAgAElEQVRf8e9XX0cY\ngsTOHbn88vrJSo1xySWT+PDTFVxy0WS/jzFNEyllLaOfmXkCI8rECDQ4kpZJZkYuwd0CSUlJ5cVn\n/sSoUa1vkNAckZFhvD7371x/y0NoI3UcqXbOGN3fr2MPHEijuLicgQN7EBxcWwxCVVUcgXZcxR4r\nd77I+gl8J4C35v2zSTf4s0/cR9rFKWR8U8ZT/xxPaLCDi+7/nCO9SmEwXPPPFYwdHH9KOimFBju4\n+dKBfuu6rhcF5HX1WupQCnilRF+msWJnHpe0YMVVik6D7W9joMLUOYKT9UGF6LdI9HAJJbD+tUI6\nVwTRjWC6GC3XQm6HwxIg8QWZvJi8ak+jdKCOOREIgCM7ncxbmc5Nepcm4+CR2LFnC7SaQWwJsgDC\n/ZyUONFRA8Fo4DRGrKQsU2/yeBVBX0Lpa1oG0Y1BcmoJukNaqgiVDewOAl8Ak8AwLTvtzxQ8C7cl\nPlI3GT8esMH3ZhG99ZbnLqxU80lLcqJfAbpNghN2vFlCQkFgrVDDaX6xjAA2CCEysGLGXYADvraM\nUkrZZHapP98eJ5AshFhNdczY39Kmnw1dusRBiRUz7Ny5ZXHH3r2T2LH5fb/3P348n8HDZ+Fyedmy\ncQF9+1r1FzffPJM9B49QXu7kspln8/7Sryi/xgUrrRKiU2mMAWbPno7NpjB3/sf06NOZZx6/p9lj\nbr/rMd56dxm2cBthBLN53Xw6d46rel0Iwf9e/Su33Pkojjg7xgmTL1Y8z7hxg5v1PsTHx7DpzdpV\nbbl5TuuBGgFKkEJekeuUtjX0eHUem7+N5NR8fndmd+Zc0LDqWYqjDH1CjRWhAHM87N/ZssYWHQlE\npmFlKtf886RCrBJAsq3EqiWufDZHgDZOsvPbUrrpbSNXuZsyKuKN2nHX0aB5JKvXFXC53ngC4QDC\nWHkkH36QVp2EDspqiHTb/dZqjsSOdFM/s1qCmir8khGtiQ2BLqTlnq45L+qLpdk9HzrY7aiaf8uv\nEFQrKFcXF5bEZytXccmiFH0a1U/dYNDOkmxZWsxgz2/cGP86SpumnczB/hjjT30/NfnFJe9PnjyC\nrRveRlGUKuN4qkhOPkAFLsx2kg0bdladLzg4kNdf/RtgCXQEE4j5qYlMg7MeGdnEiG3HrFnnMmvW\nuc3vCGzatIu3P/wC1y0eCPTgXOPm7vufYcmHT9Xab86c85kwYShHjmQxcGAPYmJa1x0J4N6rh/Ls\nuztQggUDukTTv3u75g86Ca596Bs+O3QUVx+dlS+ko+kN1ybZqK+1jFYtqZuJixWOPPKkl3gCmabF\nNLjCjCOALkYQ6Qtd6Of7jO4BsC0XnOVtT4pahvDW/oIJD9jbMOx10F6BNri++IYcAGkbmnaCBaFy\nnd6ZJV8fp+BL60ITlWBmav65gAHsKIwyI/n+g2K0KyVEAh5QvoFIp52kFnZCOozTius25KCIBdpB\nv2z/jV0iQTjKFLy7DKhcy0jgWxB2GOZsXdtEQ8r6q21H2zboOM1Ph5Qy7WSO96dRxFsnc4KfE/37\nd29+pxby/IvvU1xcxj/+dlNV+c7UqaO49rKLKCurYNascxo8LjQ0mJ0/LOTLLzcyeHBPhg7t0+bX\ndrJkZ+ehxqlV9a1GJ4P0I8cb3DcpKb7VJVk1+fdtY7hwQjdKyj2cOTyhTRK2mmL5ujRcN1h9j52q\nzt/f2IQtwKS7N4RRMpIg3/J1hCeSVd/ko10rrdi4DrYVgqFGBPl4WWDLRJsmIQkO73PyxuoM7tKT\nGownX6nFs/JoPttfLkEzJDEOB9O8MSQRTIChsGtjKVqStLp9H7P65g432q4sJsRUEWUNzKjLwOGH\nQY0jgNu9STgxUIBAw//8i0qmmO0hX/D9y0UQBKZL0lUEM1Pr2OL4qRuzfi11DWwRgohs/+P6CoLZ\nWicWfJaBe7OJ7AgcASqgnxFKvzrxYhcGxWiEYWsyY7uXCGH/+nLM6b4NBtjWCwb91lfF8IuXw2wL\n/FHgOtrA5lOeTf1TsnTpGh57dj5/vvv3TSZslZaWc+/dzyJUwZVXnEvv3kkA2O02XnnhgUaPqyQ2\nNpprr72wrS67zRk1agBmhmnJvbSH4A2BXHKT/3Hz1nKy5UstIalTOLt3FyCHALvhuM0Jl0D2Lg/J\nh0q4VUskEJUziCQ7z83eZ8pRYwXGCUmSGcRkM5pv1Dz0URKG+QYdB0a2ZNeeUsZQf2VvR2G60YFp\nxCABxVttfDoSyCXeOJa/d4IKwyBEVTlP63DSjRtqMsyIYNfmUrRhvmYRYBmGbwUjvf6v+oL9isA2\njIKgrxHKLlsJTq8BKhRKjTL0Fo/bAQeypthJTUwQ6dChha7vOAL4o96NA9nlpGW7cKAwmPBa42iY\nLLPlskeWo4YK9ApJogjiAq0Dx3CRo3iINQMYQBgOFKbrHcje7sZ5zEDvIrEdEMQ5AziD1q20f1X8\nOtzUJ4U/pU01G5UFApcC0VLKv5/SC/sJS5viOp9DbmIh0UciyM9e1eS+jz0xj6Lich5/5A+tErb4\nubN5cwq33vUohUWlzJ41nf88dHubvk+56+02G6s1pKYXM+NPy9iXWmitgOZQ5Uq0vSeYciiasTUM\nahEaJ3ylTZX9jBfZs9l7brmVvlHJKhi/LoqpNJSt1TwSiYbEjjglmbZrlHzW24owhkpkIDh2CDo5\ng7hab7hUqvKaXJi+NoYnd00uDJ6zHcU7w4T+WMv0ZAharnBfE6VNjTHXfowTEzzIOhUyYj3ErHVw\nu5Z0UtfbEO/aM0nr6kK/WEII4AWxGvgB1DjQe4E9VRCYpXCTlkg4NgwkByinCI2OBNL1F9TN6ZSW\nNr06qa2HBUC9fc2PWdoUCriklIYQojdWKuGXUkq/tGVb1ShCCLFdSjms+T1bz09pjG+/63HmvryY\nm26dwWu+GO9pTg0/tTGuxD78JYw/14npJUPv5SFc6U1o8tjdlLE0OgftZp8LuwLsrwiucXZqUsDC\nHySSg1Sww16CJiT9vGEMIqzFxqoh8vCQIsrQMekpQ0lqwjAcoJxl9lyc0kBFMN5sxwSzXa39S9DY\nIUopVL1EGw6GyohGM6y3UczXPfPQrq79/LG/BgOzw4nATjeC6VSjPrcpitF4056Op6OJd5gVD7dv\nFwRkK9ygdSHKj5KrlnACD68FpKP/qU57TQm8AYzFmmQA4mvovzWMS1uQdf9z5JQa47mT2npYANTb\nflRjvB1LfSsK2ABsBbxSyqv9Od4fN/VwqsNLKjAc/yoEfrG8+uKDPPvkvQQGtk7q8DRNs2fPYV6e\nuwhd17lxQgBnDIxr/qAaFJa4mfnAMjZuyyEuNphFj00/6TaMHeNDyMwut+pJfajpVr/h5uhHKKkl\nYex+pgy1g8DIkYyWUW1iiJfYctgfWm5lWAdA+lYXm3OKuFHrctLNEGIIYIps/h7PwcNix3G0WRK6\nglEoWfdeIcGFKiN8LtYtoogVaj5yoMSIBzUL1u0uZLoRw3BZ3w1bjoHWoc5CIAu0AkjuVYqMhvW7\nCunjCWWm3nxyWCR27tK6sju9jL05ZUigvzeM/j4XcVuTjgt6UP8J6ms6wjGqjLEcBYe2tizr/jS/\nSISU0ulrgPSqlPJJIcROfw/2J6vhGaqNsc5vpMvSyRhij8fLRx+tZPLkEVZHo9NUsXt3KqMnXIdz\nqBupSt5faOPLFy5mwrCmV581uf7hb9hs5KDfb5KZUs6kmz/mosldmTGhB1ec27NVSV+P3DKG255b\njfNcHWKAPWDbpTCyAUNSFwXBDD2OibQjP9NLHAGEt8FK7Cgu9geXW92afHMCbaCk6AONjQeLmCyj\nmx6gjdiqFqOPltWSmtGgXSDZ+GERIzyRpOPim4B89JsllR59YyQwXvLV63nEeQLrlT0lEoQ9RaBN\nkdVtLJcCF4A50PdeJ0v2v1rOoeIKejUjsgFWLH4oET+KBnQACkp5Iy9WQK0QtQtsyi/DFf2T8SuJ\nGQshxgBXAzf4Nvn9MPJnx2lYjpeVwHqsXjBXtPAaf5Xk5xfTb/CldO9zMRkZOVXbX3/9E+bM+QfX\n3PiPn/Dqfp48//JCnMPcyDMljAfnmTqPLtjaojG27MnFO8KEMmA1ePubLBaHueW/q7j8L1/6NYaU\nkiUrUzn3rk+ZdNtiNM3k9T9Ooc8PUQS8otBjTTA36p1bZFTb4aAXoW1iiAF22kqr5C+rEKCPl+y0\nN9zM4lTgVAxk3YTfMHCbVknOOnsh2qRqQ1xFe9AnSDbY6svYJxFEZ2cQ9nkC9gHbsPpz1NShcYA2\nSrLHVtZ2b6aN6EkIZiZwos4LTizNpUrhES/YvhSM0E83ifgNcA/wF+ATKeUeIUR3YHUzx1Thz8p4\nKVYJ/A+AX90nfit899120gqPY9olX3+9mRtvnAHAmWcOp/+wbsyedf5PfIU/P7xeDWmv4Z50gKeR\n2t7GGNAjmvwUF3qZtPSdz7S2VwzR+frVY+w6mM+gXu2bHOP+F9bx2le7qRilgw22LTjBWd07849r\nz+Cef64mR3rYrBYz1WhfVd70Y2MgGw4IqaekU2Oj9NNCSf2+Am2ILz4qQdkMvU1LjCVbuKGRqkHZ\nA7LWuS2fWg0Egqv1BLZnlZD8aSnSlORID6ZBrSWCcIFD/vwSI8sxiJUOst70wESsMrQ8q2lGuG6j\nZIGO2l5g5Et6yRAGmeHsoYwAFJII+mlaO/6c+RUsjKWUa4G1QogQ3++HAb/FsfwxxglSSv9UIn5j\nnH32KMYMGITH42XGjElV2wcO7MHuHxb9dBfWBO+9t5w/3PMk8Z068PXnL9Gp049XRgRw8/Uz+fjC\nb3EGucEGwd/auPufg1s0xoJ/nMO5d33K7iMFVkeiSuygdhbsPVzYpDHOyi1n7qIU3HcYVV2QnH10\nvn7lGCu2peP5nQERkLyxhPS9Lq7TOpGFh0AUEgg86c47Hkzy8RKOrclGAQP0MA5uKcc7orZRVrZC\n/1bIMbaW/oSRUlTG0eedmH0kaqYguMDGVMP6G9sRlmu2ocTxchqN2aoIRhLJSI8VCphvzyBjlctq\n/6gA+VZTi2FtWGPdFuTh5XXbMbTx0krV+QFYBzGmg7O97elFKCVo5B23PuNv7PnMtR9D6QTCKaAA\nztNjGNxUcfRvjV+Bm1oIMRbLixwGdBZCDAFullLe7s/x/hjjjUKIQVLKXSdxnb9KwsJCWPXl3J/6\nMlrEzbc/ivNSN2V7nTz25HxeefHBH/X848cP4bPFz/LI0/PQdJ17/57AxZNbJsbSMSaEXQuv5oaH\nV/LOgX3oib6Vtgu0oyYj+jcdp9+2NxdHooo72KjeaANvN9Myer2sTcYMKDjk5RnzCLYOCrJCEuRS\nmaN1qiprainfKQV852sCoZdLevqELhoyWL0IIb40kKx5brSJVgKX+gME71cZb55aZbKaKAiu1OPJ\nKHeTuc1FlK9jVQFePnBkU6LrsBFrdVjzmSrBtlEw3OOf0blM68i7P2RRsNOLEiowiyTTjJg2rbFu\nC1bb8tEmSKTPI8NgIA1c7xn0xPIWRGAnAvv/t3ffYVKV1wPHv2fK9k4vSxFUuhRFQVCwxd5bLDFq\njLFEY9RoTPKLMYkxJpY0Y43BEhN7ryCgooAoTTpIL7ssy7J9587M+f0xs7As21h29s7uns/z7OPM\nnXtnXq4zc+Z97/uew9P+jWw6tJLQmdWXGxS2wttT8kmt9DGQ2KV6Na3uYSKXdd8AUNUFInJsw4fs\nUW8wjia3hsjX05XR5B81c1M3mPTa7E1V2b59J126ZLdY9aH98frrM/jks69JS0umYnUVCQV+evVw\nZ3LZ8ceP5fjjxwIHtrTpt9cexbuXr6P05QDlWUFSlvu4+pyhDOwT6Wmt2VjEinVFDMzN5JB+e1J0\n5nZPJ5Qf3jdJxFb2Xiu8KTocfAOEcsKgEPgyyLMfbeJmp/9+95CXUMKnaYUEr1KCWQpVsPqVct75\nNq/OYhMehMud3ny9uYivXi0mSJjBTjrjwtkHlHCjOQShD8n0ic4Q34nDU76NVB0fXSf8DJGiDMcQ\nSfG5C7wfQ+ZGH6Ob2ANMw8ePnL7kO1WUV4ToQVKTZ4yHo3NMW6Ne8EZPJVo7YV5fKA9HylZWX9bY\nRhVbfJWEztFILvIVRIbr+0QmwE19s4CBAQvGQLvJwKWqG2p9vzdc9aSGhnrG8Zsaqg269WcP8de/\n/JfTzpzAGy8/GLPX+fbbTfh8vkhhjKjXX5/BpT/8JeXDKkkqTeDUrPGMnjyY2269PGbtaA09u6ax\n8tXv8eIHq9iUX8oJP8jl6FGRlJyPvLSI2//6GQk9PQS2hPnNNUdy2/fGADBqUBcG9c5h8fsFBCZF\nesPeOYJvl4dASWhPmsi5RNaLVndCBTgCKj4Lsdmp3O+lS7MSCiMpM6snaCdC8Ezlm4dKOZ1wnWuH\nI0O52RxR1fx837HwmbeQwNjwnlKQ3wc+Bv5BpEccEkaQzomhLvu9tGh/smVtoZKp/gLWBstBoVdC\nEicEOtOPlimqUZcsfJTkBSN5r6sVRf5f1fy3rqWc8GCNTE6bQaSkYwLwFjAUtgWqCKOt8gPCtIoN\nInI0gIgkELlevKypB9cbjA806bXZ28zPviZ0SJjZsxc3vnMzPf30m1z/k/tAhRee+f3u69ifzZpP\n+dBKOBa8xR7OPes4rrrqrJi1ozWlpyZw9bl7l4Lckl/KbQ99SuXVISpygF3w68fncPakAQzsk4WI\n8OHfzua6+6bz2sNrCIeVyeN7839/H8v5d7xL0epKwlkQWqXowFovKCCpQmXx/k+hKpfQvjmUUwCp\nzrbVdqzwlqI1L/WnAKcDJ0PCP4ULd/SM+RDsRip4xrcJ50SNDBV7YNPSSp5/ZzPnB3o0WnO4KRSl\njBCJeHb/WDom0IkX39uCk6PQGygC/0vCWM3aKzOZFyGcT2Qx6A+A6pVoFcDLRL59m9xvaufawTVj\n4Doi1bR7AZuBD4EbmnpwOxkciH9Tnribq48+i1f++6fGd67DihXreOGF9yktLa93n+deeo/KyQEq\nx1Xxv1c/3L397LMmk7IgidS3kvGs9XLcca1TIQrg/fc/54JL7uD+Pz9DKBRq/IAWsH5rCQmdvXt6\ntJmQ0MPDt5v2LAfKzkjiv/eeQvns66mYcwMf/u0cJozuxdq3ruSMjd04cXFnJlXm4J8ne09dLoRQ\nvpLbjOuYA4KpeGqnAFgF6R4fyW3so+hBIkOvtflAVFokQ1hj3k7IwzkzOqM+EfADh4HzXeUN/7bd\nQ9fNtZwSHvR/y0P+tdznXcNrvq0ECHMwqZxe0ZWUKV68vxf8fxOO2JbF8eG9Jw0eTAq6nciPlJpL\nwpOB8yIDLRVWsak9OVxVL1HVrqraJZp564KmHtz0UibmgAwbNpAnH2teOu+tWwsYc+TlaBfl8H8N\nYeZHj9e53w0/uIBZly9APMIPXj979/YJE0Yy+5N/M2/eUiZPPrxFqis1xeLFqznvuz+j/OhK3v3n\nLFTD3HH792P+ugN6Z+LsCMM2IkODBRDYGubQfvsO9dZOEJKc5GN4tJiwQ5jl28rY/nSA4OEKJeD/\nTDgh3JmkZlyzPTbUieXzS6msCBMaosjWSEWmM5xubSY/cbVhwXTmzN1J6OxaD2wFiqF3jCddFeOw\nQ5291yVX6wflyWHeCuZxlu5fdrdqG6ng5YRtBKNZxyiDJW+WElirXOT05DAyGe5kUE6IJLyREpu1\nJOFFgqB1VWxNAX9XYcuWyt2Tvjq0tvX2r8+vRCSgqtMARORnwHHAo0052IJxG5CXtwP1KeWHVLJm\n2cZ69zv33OPYOvkDPB4PmZl7D9ENHz6Q4cNrj7nG1pIla/D08cARUO6pZM5XS1rldbt2SuHp/zuB\nK++Zij/bQ6AwxN/vmETfnvtXqs6Ph4HBFPK2VEUKAFRAz2Bik7Jy1SUDH9c7/Zj7zU7WrawgJ+hn\nXCh7vysKxYPx4WwWLimmPDmEjicyTL0S/G8KpwS7HHAhicYEUDwJ1L0OW4BMWFRVzMiqTPo2Iy3p\np/5CgsfVyDqWBsHzlJV/KqOEIOn48CANlkz0IoiCOuxbxxiQKqkziHdI7WOY+kzgbREJEJlVPSi6\nrUksGLcBhx12CLf++FI+/HgO9/3rxgb3zc6OXW1UVeWxx19l7brN3HH7FeTkNDxLdvLkw0n4iY+0\nV5MJb1SueqbJ78sDduF3DuG4sbms3VxM3x7pdO20/xN6dhDgC38R4ZuANMCBLY9WsXxHKUN21x6s\n/9jZ3p0UeAP0dVIYq1mk4CUVL5O18551CW1UGj6udfoy9cvtLJlTSiisdE1I4IToOttYy8aPVAnk\nK9ReFFAK5ENoPMz9dCd9g/sfjAs9Aag9gJQIvnSheGewwfXh1RLw0MebzLr5FXsmulXbArKL3bPT\nTdunqgUiciYwjci0vfN1PyoxWTA+ABs3buN3f3iKYyeO4ZLvnhyz1xER7vn1ddzz6+ti9hpN8cEH\nX3Dr3Q8R6OywaUsez0/5fYP7d+vWiSULXuTjj+cxZEh/Ro48tMH9W1rn7GQ6Zzf/y24jFUh/2B1b\n/OCMUtZ9XMGQcP3BeBMVTPFtIjhW0V6wcWkl81YW8SOnb4M9qbYmAx9HB3PoQxKZ+BkQSG21mcFe\nhKPD2XzyciHBK6IlDCHyI+cNYCTQA4q9wWZNksoNJrNjpYP2qbGxGELFSqf9mGp3stOVf320gUAo\nWu/aDywH/1utM4LQVrTljrGIlMJeExQSiFzcOD9SfXCfZLJ1aj/fDC64/ub7eHftLKY88zbHHjN6\nv4tChEIhvN7IOFtJSRkiQlpa7JZkHKikpAQIgjfgISm5adcEu3fvzCWXxO6HSnNUVAZZsmYHyYk+\nBh+UgyeaxH/hiu3c8vAnzPJuIc3rY1ggDbYQmagULWbgXyN0CTf8ZfxOQj7OadEZvkBwqFLxeojP\nF+3kpHDz6hvHmzDKa75tLPOVIgNAtkFqsY+rnNwm9RobEiTMp1LIV/5dBMJh+kgyJzpd6FZrOH9C\nOIeSHUG+fGgXHEzk22w1MBg4EbwfQG+nedeuJ4ZyWDK7hECSRq5L7wT/O5EZ0/szX6A7iVwd7MNH\n07ez5qNyFOjmT+CEQBe7VtxOqGqLDAVZMG6G6dPn8Yvf/IO+uT1I2pxIUmoCGRn798H6zuk3Mu2D\nubz5xoOkpiZz8uk3IcD77/yNY45puFR0eXkll1zxC0pKy/jvM3+gS5fWWYM6adLhPPvYPaxfv5Uf\n/vDcVnnNlrZy3U4m/egVyr0OoQpl5IAufPDXs8nbUc7EH7xM6QQHboGd2x1mv1ZEZpmPXY8HcUYq\n/tVC2iYfIxpJYrEtUAVD9t4WGgGrl5VxUlX7CMZLKGF5VmmkUlN1RakPHN6al8clTtMrcNWmKM/7\nN7OxdyXBExXSYPU35Wz4eANXB/vsFZA9CKeFuhH2KAu2FRM6CjieyPKxVeCZLxwZbt5nI4cEfhDs\nw9SZBWyYWUGKeBkfyGZMM1JYdiORy5zehFEU8AbacDcwVtpw11hEBqnqchGp84tbVb9uyvNYMG6G\nB//2PF/MWUy3rjlMfeMRBgzoTXr6/gXjT2fOh+7Cp7MWULizmMoxkYuIL7z4QaPB+IMPvuCjOXMI\npoT4738/4Mc/vrjZ/5b9de65x7Xaa8XC2T97m7xR5ehYIARfvZHPnX+fhQhUjQhFlskApIFzkVL+\n7zBn5HVj3dRyuoYSGUVmo1mhkvweKnaEIzO5qxVAViM96rZkQUIxzsS9K0rpMbBqdtkBJbLYSCWb\nkioJXlYjH/d4CKgybUZBnYH+1HA3KBYWflSMd5GgZYq/zMOFwR5kHcDq7a4kHtAPi9osuUcD2vap\nuRW4BngQ6lxPN7kpT2LBuBnu++2N9OjaiVtuvpTBg+tat9C4D979O598Mp8bb7yQpUu/5bnvvAvA\nFfed3uixRx01nEzSKC+o3J1WsilUldvueJjHHn+VHr0688ZLDzBkyEGNH9hOhMPKipU70epq3F6o\nPCzEZ4u2kp2RiNOz1prPHlDuhBhGOiNC+172KSPEbClkk7+SXCeZozSSpvLoYDYzXynEuThaVnA9\n+KcJRzutl086iLILh3R8+50Bqyk8yr7rjMORDo4cwPLe9VQQHFpHtaqhsGFGRZ3HeBHOCHVjMp3Y\nsrmSJLz0boGCHsY0hapeE/3vpAN5HgvGzTB06AAef/SXB/QcEyeOYuLEUQCMGzeCnQWRspcJCY3/\nku/RozOb10fq9u5PnusPP5zNY8+/StmVFaxesZGLvvdzFs/7XzNa3zZ5PEJGVgK7tgUiOXIAzzah\nd5dURh/clc+/3ErVkBoRZg1kJfjw1DGsWEmIR/3rKB8UIjQINiyrZOGKYq53+jFec3B2KF/8cych\nVZI9Xk5xujRriU1zLGAX7/m2E05QtAqO0khCipZcyzzGyWLdzAqcQRpZ1hQGz1QY7ElDws1/nSQ8\neHcKwdodjGJIlL1/VOzCYScOXUkkBS9p+Jo1k1tR1lLBaikjWT2MIIPMNpUPrR3wtP0fTiKSDFwP\nTCDSQ/4U+KeqNqn0sAXjONGUIFxTc4pN5OXtgM5EciP3gfzF+xZ9b+8evfM4rrp3KpUjg3grPaSs\n8PHnKRPJyUzi0VcXs/P9KpxBYcgH31ThlEDdk/IWUkxFvzCh8yL3Q0OV8ikhvllbzBiymBzuzDHh\nTgQIkxTytFpSj61U8k5iPs73FXoAxTDn30V0LkxkJC237O1QUjm8NJMvH9yFt6cQ3qF0DiRwevDA\nSnIOJZ0P12yPJBOsHiEOgu8j4QgnK3pXec23lRVShjdLCO1UjgxncUIDPzhKCDLNW8ByTyleEUY5\nGRyrnfAi/M+3hW9TynFGK94imPlNIRcEWyadpulQngGKgb8SGXi/BHiWJmbhsmDcxsyfvxyAUaNq\nl41p3OmnT+TOX/0dz4tCKD/Mnb+8skXa9O23m7j+J/dRWUZPaQsAACAASURBVBngr3++nREjDm6R\n542Fi04+hL4903n7k3WkJHq5/J7B5HaPLFNa8J9LuO/f83jhhWVkh/1McHLqXQda4AnsKd0Y5fRT\ndqwL7L5q5EV2V/BpLfM9xQSPjAZigAxwTlLmvLaTkVUtF4wF4Tuhrowjm80bqsjERw8SD/hHRwpe\nzg/24KV/bUUOglCm4l0q9A+kME4jk7E+8exgRa8ygpcqwQSFUpj7ZBE9ipIYVsf67yrCPO5fT9mo\nEOEjgQDMnlbEhvWVjHUy+TazHOdHCv7oyPto5dVntnF7cIAl5Wgt7eM0D1XVmlM3PxaRpU092IJx\nG/L4E69yy52Rik8P3fdTfnjN/s1ozsnJZOnCl5g+fR65ud04/PAhDe5/7x//xR/ue5rklET+/cTd\nnHrqhDr3O/P8n7Isay3hJOXEU28gb9OHde4XL44a0YOjRuxbsrB751Qevu1Ycp6t+9pkTQeFU1gw\nvxjnKI18ihzwLxD6qrtL04ISRmsPsvggdIB5muuTgZ+MFh7SPZQ0bg0dxNJVpVQSoj8p9Iym11SU\ned4igifXmDyWBs7xyty3ihgW2DcYL2AXlX3DhE/dsy34XWXrw5V8GQZnXCQQ79YHyIRNOypiWv3J\nuEdEvEQSc2xS1TNEZCzwdyLvhCBwvap+Gd3358BVRH6r3aSq9X3BfS0i41T1i+hxRwFfNbVNbSs7\nfQf39gefUn5UJeVHVfL2B5826zmystI555zJjQbizz9fyO8f+Bell1ew/aQizr/4DoqLS+vcd+uW\nAsKDIusxd+QXEQ7vPREqGAxy4aV3kp49kYsu+3mLFIxYv6WYWfO3UFIWOODnao5DSaP/rhT8Dwu+\nVwT/X4SBJamurx0dEcrA/4VEBssAAuD7WBhdtf9LctyUjJcxZHI0OfQkiY1U8ETCeu5hFeXhMMwG\nal6JSwRH6i66sMFfgTO41o8RL4QHKgENg1PrAAUNqvWKW5NIbP7qdzOwlD2zn+8HfqWqo4D/i95H\nRIYAFxFZrHgy8IjI3pMXRGSxiCwGxgCzRGS9iKwDPmfvCukNsp5xG/LTGy9l6hlzI7ffujSmr7Vu\n3VY8vTyRajM5IAlCfv5OMjL2vY72m/+7ltvv/AsI3HbX5Xg8e//Ge+edz3jvi1mUXlnBu699xrvv\nzuKMM45pdtuef2c5P7x3Gv5OXpIqvcx79mJ6d2s4PWVL8yB8N9iTjaWV5C2uojuJ9CbJ9YIP/Uhh\nYmUOn/y1EG9O5HrqIE3jCJqXTzsebKaSZ/ybcE6NJuAoJ1I7+Vki/RXA96kwop5h+E7BBLybITRm\n7+3eLcKgcBoFnwVwhuueTGtLIKHcs7s3blpBK35sRKQ3cCrwe+Cn0c1b2VPgNIvIrAWAs4AXVNUB\n1onIaiILIGfXeMozGng5S4fZmEDA4c8PPEtSUgI33/Td3Zmw4tmkSYezq3AmAH5/bP/XTZo0Bs9N\ngkwT/GU++vTqTr9++w7tAtx4/UWcd87xOE6QPn32rZKTmpqMVgI7QKsi9w/Ej/88g4pLQlT0DFH2\noXD/lK/4688mHdBzfr0snzemf4uqso0KejUhsApCH5LjLr/wMeFOHB7OIi+/imz8B7TWNh5M9W/H\nOUkjKS4h8pV5NvAIeJ4Db4HQuzKp3h8cYzST2Yt2EhqokdT9YZAvILHQwwRyCFYoX/xlJ9IfpETw\nbIdLg71saVT79RBwO+w1o/FO4DMR+TOREeNx0e092TvwbmLP1EIAVHVdSzSqwwbjJ554jd8+/iSe\noIduXTtx6aWnuN2kJnGcIFu2bGfAgN7NmlFdW3l5JQsWrKBfv5707LknO1TPnl2Y98WzPPrYy6Sn\np/KTmy/B56v/7dKjR+d6Hzv++LHcdt1lvPz6NC64/kQmT27yyE2dQqE91/jCfsUJNb8mbDAY5uJf\nvMf7c9dTOSSICvhShX5VyVwU7IUPoYowOwiQiZ/UVp6Q1VwpeOnfTq53btbKSBCtSYDh0Gd6MpO1\nM30a+PGUiZ/Lgr157fVtlEgQDUN3SeR8pwdehOPDnRkTzmTdynKS8DKQFHx2Ba91tVAGrhlLdjBj\naf2rRETkdCBfVeeLyKQaDz1F5HrwayJyAfAv4MR6niYmEzA6bDDu1CkTT5kHQpHbbUF5eSWHDD2X\ngh07ue2Wy/ndb64/oOfbtauUUWMvoaBqF6GiEG+/9vBegfLgg/vwwJ9/2sAzNI2IcPevruXuX117\nwM8FcO8N47njkVn4unvw5Au33rZ3xjJV5d9vLGPusm0MP6gz154/bJ+6xdX+9MxXvL96PeXXBXcH\neOdYZe1zFczYUECa+pjqKcCbLoRKlcM0g9NCXffpNe3CYYEUU+wJ0isUmdUbi2QbHVGSx0ugKEjt\nidLeAhioqU1av92HZG4K9GMXQXx1lD7Mws/IZqS6NPFl0tBOTBraaff9e15ZU3uX8cCZInIqkARk\niMizwFhVPSG6z8vAk9Hbm4HcGsf3Zs8QdovqsMH4ootOolOnTBIS/Bx77JjGD4gD+fmFbN++k8AY\nh6kz5vI7DiwYv/32p+T7d1J2SQUsgN/e/+QB91pbww0XHcbEUb1Yt6WYcSO60yVn7x7gDX+czjOz\nllM+KEjKlz6mz9/IS/edVudzPfzfBZSfFdx7Nq0Pgqcpcx4rQn1K8PsQ7KTgwKIpxXTLS2Ase3Ie\nL6KYN3156DAl1A0WrSxm6sbtXBnsQ5e6Ctma/XKEk8XMD3cQ/F6NWc9bQZYKI/Zj7bQgTRqyLyHI\nEkoIogwijc72/zD2WumKgKreBdwFICLHArep6uUi8rWIHKuqM4HjgJXRQ94E/iMiDxIZnj4YmBuL\ntnXYYCwinHjiUW43Y7/069eTu+68ko8+nsNf/nTbAT9ft245UAhsBf9mH7nDDyxhQ2sacUhnRhyy\n79B4wAnxxMtLCP1UIRnKDw/y9sPryN9Rvk9N43BY2Z5XsWdNbk1dwAlpZCpH9W/kgZFlMPPe28XY\nqkgw3oXDm748gtcoRE+fM05x5ikvfLCZHzv9mjSpK0CYRRSzzl9OesjH6HAmXWpVKeqoxms2m7ZW\n8O1D5YQHK54SQb+Fc4LdyGjhr7A1lPFf3xb0UAgnKTMW7+BEpzNHausUYzGtrnrI+YfAP0QkEaiI\n3kdVl4rIi0RmXlcvebJhagO//uUP+fUvf9giz3XccUdw+3WX88TTrzF06AAe+tOBD0m7TVUjH6/q\n+CeRv3Adnx+PR+jSLZntWyv2LSS/hkh+5HFESiGGgDnAe7CdAE8nbGRcIJt8qUKH7QnEu42GkulB\ntjpVjc7KLcLhSf8GqnqHcYYqnkL4ct4uTnI6M9aCAF6E7wZ7sSVYydqvyknCw2DSScFLJSGWUEIJ\nIbqQwKGkNXtJUhjlVf+2SE7xAdFtE5SP/lHAsGA6qfZ1GTsupMOM9oJnRm/PA46sZ797gXtj3R57\nd3VQDzz0HHfc8TdGjjmYFYtfPeAZzvEiMcHHZWcO4qX/raJ8SJDkVT6OO7I33TvXvf73JxeP5Pfv\nfEn5RTWGqoMgb4GOIbJyECKflGOAzaBdYH2XCrZ8XElGmZ9QXQMKHvBkC6VljVe2f92/jbKjQ1Sn\nmQ8D4SOUDx8p4GAnjewmDK2GUVZTxkJfMWGBYU46g0hrV8Xre5K01w+blZTykncr9Aenh5KwWvBv\n9/D9YG6zLg8U4RDwhaFm7ZRs8PYUNmyoYHAd2b1MC2k/b9NmsxkmHdTv/vAUoStDrMhbzyefNKnc\nZkzNX5bPB7PWE3AOPCHIk788nvsuPppLfIfwm9OP5NX7675eDHD798Zw8sC+pPzTh2cqyDTwPyQk\nVAocUscBA4mscz0MnOuUIm8A34o6vkkCEMpTujYy1FxOiI1agY6v9UA2hIcri3dn76hfGOVl31Ze\nytrKkhNLWfadUt7oso0p/k37FlxoJ4pxeMm3FedKxblM4XgIXKuUnRLiWf8mws34dyfhJewAVTU2\nKmiRWq/YxJy9wzqok046krdf/wyf+hg58lBX2/L3/y7kzkdn4U0XBnfOYdaTF9Q7+7kpvF4PN158\nGDdyWKP7+nweXv7jacxfls/r0XXGeZ/mMctXyNK80t3DlbttZ09qgCQITQDvJwpfEulFe4hkvXpd\nOIiURicMBQjj8QmhhH2DRzgLKiXU6EKKlZSxKqMM57o9E5wCo5St/6pk/uYijqBpQ935VDHbW0Sh\nL0Cuk8zYcBbpcfoV8ZXsIjxMI3NbaxoNlbNCrC0sZ8B+ZkNLwcsgUlnxchnB0yPpNj0zIKPCR64l\nAImtFlra1JbF5yfNxNx/pvyeBQtW0q9fDzp1cjc700Mvzqf8nCD0hm/+voPVG3dxaL/WvVY6anBX\nRg2OVGi65/H3GR/MZtXMMpwBNa4HrwW+AWqu0OoCXUmg6kOldEYQyRZCecpBpHCeU3eSlJoy8OEP\nCc5m3TuVgELCwqblup7v34VzdK38yl5wjlG+frWYI6oaP5fLKOVV/1aC4xTtDhtXVvDlN0VcHacz\nwrf7AoT61PGAQLg3FBY6+/yOaoqzg935cO12FvytmJAqh3hTOd3p5npmNdP+WTDuoLxeL2PGDHa7\nGQAMO6gTm+eXEsgL4w0J3Tu5n6yiN8mcWtWVd5/IR3OUoBLJhXwe1FyO6l0D/UIpnBTuwjanipKy\nIF1JbHLWKw/CCcEuvPdCPs75Cn2BUvB+BFnF/iblug5KrUBczd+0AhEhlDd823C+p7tXVIaGQKhr\nmHem5/F9J7fhJ3BB5+oUl6P3fcyzhWZnHfPj4bRQN06r/gXW/HwyZn/Ybx0LxsZ9U/7vJH72t8/Y\nXFDK//39SDLT42NJzygyGRpMZ01+Ga94txK8iL2HrTeBZ4EwNpyNIPQgqc5VUo0ZrZl4S2Haf3ZQ\nGgwiIgyTdE4JdmlSSsZhgXQ2zK3AGaZ7zQLxzRWG1lHFqLYtVBJOY+/UBgCHw/qPKgihcTcRbIxm\n8vnCnXC47r00bSEk7PIwoJ1kHzMdhwVj47qsjEQe/8XxB/w8327axbrNxXTNSWHowJwWSReaEF1G\n872Qj+df3Iz2VAL9FP9mgXVwfqhHk2Y7N+YwMhkRyCBApFrQ/gS/4aQzJ6+IgucCBCcoeME7R0hb\n42WsNn4JwoNAqNaSMIDQ7pVhcScTP+cGu/PqU9vgEAj2UBJWCd4twuXB3pZXuq2xa8YWjE3bt2hl\nAT+4dyrfrNlBYlcvzs4wPbJS+cdtkzhpfN8WeY0+JHNb8CCWbihlx4ZInuqhpJHUgrmqBSGxGUHE\nh4ernFzmrC1i4eZiwijDAumM02ySm9C+HiSSUOkhsDIENebyyWdwsC8VjxOfX5RDSKdvMJnFS0vY\ntcyhmyYxlDT8tkik7YnPt1irsmBs2rQlq3cw4eqXKD3WgdOg0heCMKxZtYtz7niHl/9wKqdM6Ffn\nsaFQmK+W5hMMKaMHdyEpseGPgx8Ph+1H+sXWlICHiZrDxKqc/T7Wg3CB05PnXtqEDoJgL8W/XEja\n4uE0p2sMWttyUvFxFNkxSt1vTOuxYGzatFv+8gll4509yTkgct30UKjwBvnhH6ax4e2r9hmyfv3j\nNfzw3mlU+UOITwjvUu67cTzXX9j4cqj2qC/J3Bzsz4Jvitm5zKm32MVqypjrL6LUE2SAk8qR4ax9\nii4Ys99cyMAVb+xTZNqsHUUVfDpvC3pzPTsMgK1vl5E58VEe+OkErjl3OABfLNzKpXd/QMV5Qahe\nHpMPP3tsFl2yOu7EnzR8TCAnkvqzDh96tvNlahHOsQoZkLekinlLirgm2IecOFz+ZExbYhdXTJu1\nfWcFCeke6k1yJRDuDKXjHH58/0x2lURSK93zrzlUHF0jEAN0hfLvBPnl41/EvN1t0XYCzPUXRRKL\nHA4cAqFzoPKYMO/4891unmnrRGLz14ZYMDZtVrdOKQRKwpH1v3VRoABqL9X9aml+JK1lbQNg1eqi\nZqVSbO+WU0p4hFJ7xZCOhW+D5XbOjDlAFow7GFVlzZpN7NzZeM7jeJedkcRxR/ZGvqpnh5XgCwiZ\nMxL4+88m7V6/nJOVBDvr2L8IUtP8tiymDmEUrWtidvQbxEKxOSDWM7Zg3JEEg0FOOu0Ghh9xEb36\nnsJ7781yu0kH7KGfHEP6lwnIF0AgujEEfAPJ7/h47+Gz2TnjR/zg3GG7j7nx3MNI+dwXqU5aLQyJ\nn3i58qwhrdj6upUR4hPZwVOJG3guYRNLKWlSJq1YOoRUfAtl7yIKAPOhjy85JklBKgixlUrK6ruI\nbdoPC8ZIjOokHzARiZaYNC1l5syvOP3yWyj9fjmsgUO/6cvyha+42iZd9MwBP8fytYVc98fpzFm8\njcROXgJFYQb2zuRvt07imDG99tl/V0kVR1/1Eiu27SSUpdAdUvN9DEzL4tMnzufBcR8fcJuaK48q\nnvZtJDhICQ5TqAD/50LPoiQud3o3u1ZvS3jNt42lmSU4x0cmcMky8M8Rrg72oVsj1an2R5Awb/vy\n+YYSvKlCsEw5RFI52+lOovUfXHM3K1HVFn8DioiG3zmrpZ8WAM9pb8SkzbFgs6k7kLS0FMIVYSgF\nCiE9rX3MHB7UP4fpj57HlvxSNm4rpXN2EgNy68489c2qHUy69mWquocITVKoAt/XQo+MVD5+5BzS\nUtybFawo//NvofKUMNTIueyMUDY/U8kXG3YyUfd/HXFLOTvYjQE7UpjzRhHlhOgfTGZCKKfFZ1K/\n6ctjaZ9SgucpwVSFSlj5ZhkvrtrC5U7tMk2mXRD7kWVnoAMZM2Ywt1x/CclPJtLv255MeeI3bjep\nRfXsmsaRI7rXG4iDwTAn3vgahcdWUXZBMBLwxkHwOmVjRik/fuCT1m1wLduooiQhCCNrPeCF4AnK\nXH9Rq7epkACfU8jnFFJEkBFkcE1VH26u6s+Zoe4tHojLCLKUUoIX6J6Jd0kQOldZLxXs2H0twpj2\nxYJxB/O731xPefEs1q54kyFDDnK7Oa3qrZlrKU9xYEStBzxQdUKIVz5aTeGu+qZmx14JQTw5Uven\nsjNUhFr32ukXUsgj/vVMG1XAtJEF/MO/jjlS18y3lrMDB2+WQHKtB3zg7S5st2DcPnkkNn9tiA1T\nmw5jwfJ8SnKduh9MhaSuXlasi22waUhnEgjlaWRiWe1P5kbI8vrqTcjR0nYQYJpvB8EbFKoHGo5V\nPnqkgEOctBYpjlGXDHyEdik47F0WMgzhAm12aURj4p31jE2HkZmeSGJ5PYUTwhAsCZOZ5t414xwS\n6KVJeKay91qhcvC/J0wMdGq1tiyjlPDwGoEYIBt0iLKc0pi9bhZ+cknC+z57agmHwTMdcpwEurfg\nRDETR2w2tfWMTcdxwUkH84tHv4BJ7JMIhFXQNTOFwQe5N0EK4EKnB09/tYniFQ6BEYqnDDyLhNGh\nTEbQeG3i9uACpyfPL9pM/rIqpKeg25SsKj+XOvvOjDfthE3gsmBsOo7c7unceOEI/vmfxZR/Jwi5\nRIZ9l0DyNB+P//n4FqmBfCBS8XG905dvd5azbmY5CXgYSjqdWjn382DSmLF4B+FjavSOd4IsFQaR\nFtPXTsHLNU4ftjqVFKwOkI2fXiQhlozFtGMWjE2Hcv/NEzioVya//ddcioqrCAWVwwZ35oG/TGTi\n6PjoeXkQBpLKwH26762nEwkcF+zEx//YQXiYIgqyRDgh2Dlm14tr60ESPUhqldcyLmtjQ8qxYMHY\ndCgiwnUXjODa84aTX1hOYoKX7Iz6v/BLCDLVV8BSLSGkSm9fMicGOpO7z3Tf9me85jDISWPZ/FIE\nGEx6qwViYzqamAdjEfEC84BNqnqGiOQA/wP6AuuAC1W19RdQmg7N4xG6d26451lGiMf86ykbE0LH\nAYmwYWkFz7y3iUudXvSrXTWhHcohgaNx9zq66QDa2DKkWGiNq+Y3A0vZMz/0TuAjVT0EmBa9b0zc\nmS2FVAwOoScDmUASMBqcs5V3E6xsoDGm5cQ0GItIb+BU4EnYPfviTGBK9PYU4OxYtsHEp7KyCm64\n+Y+M/8GL/O6puYRC4cYPamVLEkoJHV7HA4NgRzhAuRUwMKZliCc2f21IrIepHwJuBzJqbOumqnnR\n23lAtxi3wcShy6/6Fe8t/5zKoQEWvVGAhpVfXXOk283aV311VOKzvooxbZNN4IpdMBaR04F8VZ0v\nIpPq2kdVVUTq/Vq7++7Hdt+eNGkMkybV1U0xbdHHH8+j8rIAZEG5J8jbX6yLu2A8PJDOZ3N3Eupb\n6y26BDp7E0gJ1ZNAxJh2YC3lrKPc7WZ0GLHsGY8HzhSRU4lcbcsQkWeBPBHprqrbRKQHUO/Ft7vv\nvjaGzTNuGjS4L18uWEZ4dJjEb7yMHNTZ7Sbt40jNZv7KYkrfDBIeT+RdvAT8U4XTHBvQMe1bf1Lo\nX2OS4kwKY/di1jOO3TVjVb1LVXNVtT9wMfCxql4OvAlcEd3tCuD1WLXBxK+Xnv8jY5xBpD/l58TO\nuTzwk4luN2kfKXi51unD6IWZJD3mwf+QMGBqClc6ufTpAEubjDGtpzXXGVeP9d0HvCgiVxNd2tSK\nbTBxIje3O3M/ewZd9IzbTWlQKj5OD3Xj9FC0J9yEOVuFBCgiSBcSSLel/MY0ro1NtoqFVvmmUNWZ\nwMzo7ULghNZ4XWNaUxVhXvRvYb1U4M0RggXKSM3gtFBXPJbK0RjTAPs5Eie++WY13znjBn72878Q\nDsffMh/TuLd9eaw7uILgz5SqH4UJ3aos6lLM7BjXADamzbN6xhaM48WlV/2KD0vm8MjzL/HWW5/E\n9LVCoRAbN27b76D/+ecLuejyn3PjzfdTUGBJ02pyCLNUSwmdpnvGm5LBOVWZ47dzZUyDrISiXdCK\nF127ZJOw3o+WQadOWY0f0EyBgMORE65g6dK1jBp9KLOmP4XX2/gSnSVL1nDiqTdQPq4S/0of046b\ny5IFL+Lx2O85AAcFUfaZ15UJlTbSYYxphAXjOPHS83/kqafeYPDgfkyYMDJmr7NixXpWrt1A4FaH\nhQ+vZN26rQwY0LvR42bM+IrwIIWjwNEgax/YTEFBEV27Wt5igGQ8pHt8FK0KwqE1HlgIfcVmXhvT\nIJvAZcE4XmRlpXPrrZfF/HUGDuxN906dyHt8B737dqNPn+5NOm7w4P541gpsBbZDclIi2dkZjR7X\nUQjCGYFu/PflLQQnKNoTPKvA/7WHk4Jd3G5eu5JPFTN9O8j3BsgNJnFsqBOZVk3KtHEWjDuY5OQk\nFn/9P5YtW8vQoQfh9zftLXDccUdwz50/4s8PP0tWdjrPvndPk4/tKAaQyg+cPnz+aSHbvQFynWTG\nh7MtULSgfKp40rcB5xhF+0LB8gDLvizlhmA/0uzrrO1qY9d3Y8HevR1MSUkZb7/9Kb16dSUpKXG/\njr31lsu49ZbY997bsm4kck6wBwTdbkn79ImvEGeiosdE7mtfCJSH+XJREZM1/rK4GdNUFow7kEDA\nYcy4y9mq29EC5Xe/uJ6f3HSJ280ypsnyvVVon723hfrBtmVVEHClSaYltPIyJBHxAvOATap6hojk\nAP8D+hJNRqWqRdF9fw5cRSTlz02q+mEs2mRXzTuQVas2sLVgO6UXVFD2nUqefv4tt5tkzH7pE0zG\ns6zGBgXfEqFfwCbJtWmtX0LxZmApezJD3gl8pKqHANOi9xGRIcBFwBDgZOARkdjMNrNg3IH07dsD\nX9iHTBeS5yQycVzsZm0bEwvHhHJI+tqL72WBr8H/nJCx3sdoYrcc0LQvItIbOBV4EnanxjsTmBK9\nPQU4O3r7LOAFVXVUdR2wGhgbi3bZMHUHkpaWwuxPn+aRR1+mT253bvrxxS3+GgUFRYRCIbp2zUFs\nUoZpYRn4uSHYj3lLiti2ooq+TjKjyCTR+hVtW+t+VzwE3A7UXA7STVXzorfzgOqybD2B2TX22wT0\nikWjLBh3MIce2o+/PHRbiz9vVVWA8797Bx9+MBvxwJjDB/PeG38lIyOtxV/LdGypeDlWO4HjdktM\nWyMipwP5qjpfRCbVtY+qqohoXY9V7xKLtlkwNi3i1/c8xrSVcwnc4oAHvnp3Gdff/Eeee/q3bjfN\nGBPvWqhnPOOrLcz4aktDu4wHzhSRU4lUKM8QkWeBPBHprqrbRKQHkB/dfzOQW+P43tFtLc6CsWkR\n0z+dR8XIKqqX1FYd7vDZ9AXuNsoY06FMGtOTSWN67r5/zxNf7fW4qt4F3AUgIscCt6nq5SJyP3AF\n8Mfof1+PHvIm8B8ReZDI8PTBwNxYtN0utJgW0ad3d7xba7ydtkDPHrbu0xjTBO4Viqgecr4POFFE\nVgLHRe+jqkuBF4nMvH4PuF5VbZjaxK8/3Xsz08fNo2JnFepVfN/6eHT6XW43yxjTFrhQcEZVZwIz\no7cLgRPq2e9e4N5Yt8eCsWkR/fr1ZNmil3n99RmEQiFOO20CublNy3ttjDEdnQVj02K6dMnmmmvO\ncbsZxpi2xpZB2jVjY4wxxm3WMzbGGOMu6xlbMDbGGOOy2KR7blPsDBhjjDEus56xMcYYd7VyCcV4\nZD1jY4wxxmXWMzbGGOMum8BlPWNjjDHGbdYzNsYY4y6bTW3B2BhjjMtsmNqGqY0xxhi3Wc/YGGOM\nu6xnbD1jY4wxxm3WMzbGGOMuF+oZxxs7A8YYY4zLrGdsjDHGZXbN2IKxMcYYd9kELhumNsYYY9xm\nPWNjjDHusgxc1jM2xhhj3GY9Y2OMMS6za8bWMzbGGGNcZj1jY4wx7rLZ1BaMjTHGuMwmcNkwtTHG\nGOM26xkbY4xxmQ1TW8/YGGOMcZn1jI0xxrjLJnBZz9gYY4xxm/WMjTHGuMz6hRaMjTHGuMuGqe3n\niDHGGOM26xkbY4xxl/WMrWdsjDHGuM16xsYYY1xmPWPrGRtjjDEus56xMcYYd1mhCAvGxhhjXGYT\nuGyY2hhjjHGb9YyNMca4zHrG1jM2xhjTIYhIkojMyQZz9AAADk9JREFUEZEFIrJURP4Q3f4nEVkm\nIgtF5FURyaxxzM9FZJWILBeRk2LVNgvGxhhj3CWe2PzVoqqVwGRVHQmMACaLyATgQ2Coqh4GrAR+\nDiAiQ4CLgCHAycAjIrGZbWbB2BhjTIehquXRmwmAFyhU1Y9UNRzdPgfoHb19FvCCqjqqug5YDYyN\nRbssGBtjjHGViMTkr57X8ojIAiAPmK6qS2vtchXwbvR2T2BTjcc2Ab1a+J8P2AQuY4wxrmuZCVwz\nPl/NjC/WNLhPtAc8Mnpd+AMRmaSqMwBE5BdAQFX/09BTtEhja7FgbIwxpl2YNH4gk8YP3H3/Nw99\nWO++qrpLRN4BDgdmiMj3gVOB42vsthnIrXG/d3Rbi7NhamOMMe5qpQlcItJZRLKit5OBE4H5InIy\ncDtwVnSSV7U3gYtFJEFE+gMHA3NjcQpi1jMWkSRgJpBI5EL5G6r6cxHJAf4H9AXWAReqalGs2mGM\nMcZE9QCmRGdEe4BnVXWaiKwiEqc+il5r/kJVr1fVpSLyIrAUCALXq2rbGqZW1UoRmayq5SLiAz6L\nTiE/E/hIVe8XkTuAO6N/xhhjOqTWSfqhqouB0XVsP7iBY+4F7o1luyDGw9R1TCHfSSQYT4lunwKc\nHcs2GGOMMfEupsG4jinkS4BuqpoX3SUP6BbLNhhjjIlzIrH5a0NiOpu6jinkk2s9riJS7/j73Xc/\ntvv2pEljmDTp8Ji11RhjzB5rKWcd5Y3v2BKshGLrLG2qMYV8DJAnIt1VdZuI9ADy6zvu7ruvbY3m\nGWOMqaU/KfQnZff9mRS62Jr2L2Y/R+qbQk5kqvgV0d2uAF6PVRuMMca0BRKjv7Yjlj3j+qaQzwde\nFJGriS5timEbjDHGmLgXy6VN9U0hLwROiNXrGmOMaWPa2GSrWLCr5sYYY4zLLDe1McYYd9lsagvG\nxhhj3GbD1PZzxBhjjHGZ9YyNMca4yyZwWc/YGGOMcZv1jI0xxrjM+oV2BowxxhiXWc/YGGOMu+ya\nsQVjY4wxLrNgbMPUxhhjjNusZ2yMMcZl1i+0M2CMMca4zHrGxhhj3GXXjC0YG2OMcZsFYxumNsYY\nY1xmPWNjjDHushKK1jM2xhhj3GY9Y2OMMe6yCVzWMzbGGGPcZj1jY4wxLrOesQVjY4wx7rIJXDZM\nbYwxxrjNesbGGGNcZsPU1jM2xhhjXGY9Y2OMMe6ypU3WMzbGGGPcZj1jY4wxLrN+oQVjY4wx7rJh\navs5YowxxrjNesbGGGPcZUk/rGdsjDHGuM16xsYYY1xm14ytZ2yMMca4zIKxMcYYd4nE5m+fl5Fc\nEZkuIktE5BsRuanW47eKSFhEcmps+7mIrBKR5SJyUqxOgQ1TG2OMcVmr9Qsd4BZVXSAiacBXIvKR\nqi4TkVzgRGB99c4iMgS4CBgC9AKmisghqhpu6YZZz9gYY0yHoKrbVHVB9HYpsAzoGX34QeBntQ45\nC3hBVR1VXQesBsbGom3WMzbGGOMuF5J+iEg/YBQwR0TOAjap6iLZuy09gdk17m8i0kNucRaMjTHG\ntAszPlnMjE8XN7pfdIj6ZeBmIAzcRWSIevcuDRyuB9LG+lgwNsYY47KWuWI66ZjDmHTMYbvv/+be\nF/bZR0T8wCvAc6r6uogMB/oBC6O94t5EriUfCWwGcmsc3ju6rcXZNWNjjDEdgkSi7VPAUlV9GEBV\nF6tqN1Xtr6r9iQxFj1bVPOBN4GIRSRCR/sDBwNxYtM16xsYYY9zVeteMjwYuAxaJyPzotrtU9b0a\n++wehlbVpSLyIrAUCALXq6oNUxtjjGmHWikYq+pnNDIirKoH1bp/L3BvLNsFNkxtjDHGuM56xsYY\nY1xm/UI7A8YYY4zLrGdsjDHGXS4k/Yg31jM2xhhjXGY9Y2OMMS6znrEFY2OMMe4SG6S1M2CMMca4\nzHrGxhhjXGbD1NYzNsYYY1xmPWNjjDHusmvG1jM2xhhj3GY9Y2OMMS6za8YWjI0xxrjLMnDZMLUx\nxhjjNusZmzYpGAwjAl6v/Z40ps2zCVzWMzZtT+GuSnp850n6nv405RWO280xxpgDZj1j0+YUlwYo\nLXMoK3OoqAqSkux3u0nGmANi14wtGJs2p1+vDOY+exF+n4dOWcluN8cYYw6YBWPTJg0/uLPbTTDG\ntBSbTW3B2BhjjNts+pKdAWOMMcZl1jM2xhjjLhumjm3PWERyRWS6iCwRkW9E5Kbo9hwR+UhEVorI\nhyKSFct2tLQZM+a53YQGWfuab8aXm9xuQoPWUu52Expk7Wu+eG6bib1YD1M7wC2qOhQ4CrhBRAYD\ndwIfqeohwLTo/TZjxoyv3G5Cg6x9zTdjXnwH43Vx/oVt7Wu+eG5b7Hli9Nd2xLS1qrpNVRdEb5cC\ny4BewJnAlOhuU4CzY9kOY4wxJp612jVjEekHjALmAN1UNS/6UB7QrbXaYYwxJs7YNWNEVWP/IiJp\nwEzgt6r6uojsVNXsGo8XqmpOrWNi3zBjjDFNpqotHjVj/V0fizbHQsx7xiLiB14BnlXV16Ob80Sk\nu6puE5EeQH7t49rKCTTGGNN89l0fEevZ1AI8BSxV1YdrPPQmcEX09hXA67WPNcYYYzqKmA5Ti8gE\n4BNgEVD9Qj8H5gIvAn2AdcCFqloUs4YYY4wxcaxVrhkbY4wxpn5xuxBLRO4WkU0iMj/6d7LbbQIQ\nkZNFZLmIrBKRO9xuT20isk5EFkXP2VyX2/IvEckTkcU1tsVNwpd62hc377t4TprTQNvi4vyJSJKI\nzBGRBSKyVET+EN3u+rlrpH1xcf6ibfFG2/BW9H5cnLv2Km57xiLya6BEVR90uy3VRMQLrABOADYD\nXwLfVdVlrjasBhFZC4xR1cI4aMtEoBR4RlWHR7fdDxSo6v3RHzPZqupK0pd62hc37zsR6Q50V9UF\n0RUJXxFZk38lLp/DBtp2IfFz/lJUtVxEfMBnwG1EchzEy/uvrvYdT/ycv58CY4B0VT0znj677VHc\n9oyj4m2W3VhgtaquU1UH+C9wlsttqktcnDdV/RTYWWtz3CR8qad9ED/nL26T5jTQNoif81ed0ioB\n8BL5f+36uatWT/sgDs6fiPQGTgWeZE974ubctUfxHox/LCILReSpOBkS6QVsrHF/E3u+gOKFAlNF\nZJ6IXON2Y+rQFhK+xNv7Lq6T5tRo2+zoprg4fyLiEZEFRM7RdFVdQhydu3raB/Fx/h4CbgfCNbbF\nzblrj1wNxtHrD4vr+DsT+CfQHxgJbAUecLOtUfE5pr+3o1V1FHAKkVzgE91uUH00co0k3s5p3L3v\nosPArwA3q2pJzcfcPofRtr1MpG2lxNH5U9Wwqo4EegPHiMjkWo+7eu7qaN8k4uD8icjpQL6qzqee\nXrrb5649crWEoqqe2JT9RORJ4K0YN6cpNgO5Ne7nEukdxw1V3Rr973YReY3I0Pqn7rZqL40mfHGT\nqu5uTzy876SZSXNauW3PVbct3s4fgKruEpF3iFz/jItzV1ON9h2uqjOqt7t4/sYDZ4rIqUASkCEi\nzxKH5649idth6uj/7GrnAIvr27cVzQMOFpF+IpIAXEQkgUlcEJEUEUmP3k4FTiI+zltNcZ3wJZ7e\ndyLxmzSnvrbFy/kTkc7VQ7wikgycCMwnDs5dQ+2LToyr5sr5U9W7VDVXVfsDFwMfq+rlxMm5a6/i\neTb1M0SGahRYC1xb43qFa0TkFOBhIhMunlLVP7jcpN1EpD/wWvSuD3jezfaJyAvAsUBnIteY/g94\ngzhJ+FJH+34NTCJO3ncSx0lz6mnbXcB3iYPzJyLDiUwyqq6l96yq/klEcoiD918D7Yur7z0RORa4\nNTqbOi7OXXsVt8HYGGOM6SjidpjaGGOM6SgsGBtjjDEus2BsjDHGuMyCsTHGGOMyC8bGGGOMyywY\nG2OMMS6zYGzaPRHJFJHr3G5HY0TkJ9EEEMaYDsaCsekIsoHr3W6ERDWwy81Ayn4+p/fAWmWMiQcW\njE1HcB8wIFoo/X4RuU1E5kYr49wNkcpDIrJcRJ4WkRUi8ryInCQisyRSTP2I6H53i8izIvJ5dPsP\nql9ERG6v53lXiMgUIqkNc0XkERH5UkS+qbHfTUBPYLqITItuK63x3OeLyNPR2/8WkUdFZDbwRxEZ\nICLvSaRS1ycicmjMz6gxpkW5WijCmFZyBzBUVUeJyEnAeao6VkQ8wBvRylYbgQHAecBS4EvgIlU9\nOlpF7C4iuYIBhgFHAWlE8gm/AwwHBtbzvAOBy1V1LoCI/EJVd0Z7tVNFZJiq/lVEbgEmqWph9HVq\npsernSqvJzBOVTUavK9V1dUiciTwCJEi9caYNsKCsekIag4NnwScJCLzo/dTiQTLjcDa6pqyIrIE\nmBrd5xugX/S2Am+oahVQJSLTiVTGmtjA866vDsRRF0mk1rQP6AEMib5GUynwUjQQpwHjgJdqjIAn\n7MdzGWPigAVj0xH9QVUfr7lBRPoBVTU2hYFAjdsNfVaqe631PW9Zjfv9gVuJlMvbFR16TmrkeQFq\nT+wqj/7XAxRFa1gbY9oou2ZsOoISID16+0PgqmiJSUSkl4h02Y/nEuAsEUkUkU5EqjzNBT5o4vNm\nEAnOxSLSDTilVjszatzPE5FB0WHvc6ijmLuqFgNrReT86OuKiIzYj3+PMSYOWM/YtHuquiM6EWsx\n8B7wH+CL6LBuCXAZkUBXO9jVdc1WiZQNnE6k9OI9qroN2CYigxt7XlVdGB3KXk5kCPuzGq/xOPC+\niGxW1eOBO4G3ge1Eammn1tO2S4F/isgvAT/wQrSNxpg2wkooGrMfROTXQKmqPuB2W4wx7YcNUxuz\n/+wXrDGmRVnP2BhjjHGZ9YyNMcYYl1kwNsYYY1xmwdgYY4xxmQVjY4wxxmUWjI0xxhiX/T+MT3Gz\n6tFZjgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114d1d050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nx = 30\n",
"ny = 30\n",
"# creating a grid of points\n",
"x_temperature = np.linspace(-5, 40, nx)\n",
"y_humidity = np.linspace(20, 80, ny)\n",
"xx, yy = np.meshgrid(x_temperature, y_humidity)\n",
"# evaluating the regresson on all the points\n",
"z_bikes = regressor.predict(np.array([xx.flatten(), yy.flatten()]).T)\n",
"zz = np.reshape(z_bikes, (nx, ny))\n",
"\n",
"\n",
"fig = plt.figure(figsize=(8, 8))\n",
"# plotting the predictions\n",
"plt.pcolormesh(x_temperature, y_humidity, zz, cmap=plt.cm.YlOrRd)\n",
"plt.colorbar(label='bikes predicted') # add a colorbar on the right\n",
"# plotting also the observations\n",
"plt.scatter(bikes['temperature'], bikes['humidity'], s=bikes['count']/25.0, c='g')\n",
"# setting the limit for each axis\n",
"plt.xlim(np.min(x_temperature), np.max(x_temperature))\n",
"plt.ylim(np.min(y_humidity), np.max(y_humidity))\n",
"plt.xlabel('temperature')\n",
"plt.ylabel('humidity')\n",
"plt.show()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"181.28165652686295"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import mean_absolute_error\n",
"mean_absolute_error(bikes['count'], regressor.predict(bikes[['temperature','humidity']]))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.cross_validation import cross_val_score\n",
"scores = -cross_val_score(regressor, bikes[['temperature', 'humidity']], \n",
" bikes['count'], scoring='mean_absolute_error', cv=10)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 170.81419231, 184.34538921, 180.70727277, 293.31959372,\n",
" 207.95262785, 129.8914135 , 338.78334798, 264.29533382,\n",
" 233.57114587, 242.93851741])"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scores"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"224.66188344455881"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scores.mean()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DecisionTreeRegressor(criterion='mse', max_depth=100, max_features=None,\n",
" max_leaf_nodes=None, min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, random_state=None,\n",
" splitter='best')"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"regressor2 = DecisionTreeRegressor(max_depth=100)\n",
"regressor2.fit(bikes[['temperature', 'humidity']], bikes['count'])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.0"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mean_absolute_error(bikes['count'], regressor2.predict(bikes[['temperature','humidity']]))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"241.011829338\n"
]
}
],
"source": [
"scores = -cross_val_score(regressor2, bikes[['temperature', 'humidity']], \n",
" bikes['count'], scoring='mean_absolute_error', cv=10)\n",
"print scores.mean()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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