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October 11, 2019 05:15
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# SVM(Support Vector Machine)\n", | |
"- Maximum Margin Classifier라고도 불린다. 즉, 마진을 최대화시키는 분류기이다. \n", | |
"\n", | |
"\n", | |
"- **SVM**은 Train-set 데이터를 비선형 매핑을 통해 고차원으로 변환한다. 이 새로운 차원에서 초평면(Hyperplane)을 최적으로 분리하는 선형분리를 찾는다. 즉, decision boundary를 찾는다.\n", | |
"\n", | |
"\n", | |
"- **왜 고차원으로 변환할까?** : 아래 이미지에서 보듯이, A=[a,d], B=[b,c]는 2차원에서는 non-linearly separable하지만, 이를 $\\phi{(x)}$를 통해 3차원으로 매핑하게 되면 linearly separable하게 된다. 즉, 충분히 큰 차원으로 적절한 비선형 매핑을 하게 되면, 두 개의 클래스를 가진 데이터는 초평면에 의해 항상 분리될 수 있다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./svm_dim.PNG\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"- 밑 그래프에서 왼쪽 그래프의 경우, hyperplane이 너무 데이터와 가까이 붙어있어 **노이즈에 오버피팅**되버린다는 단점이 있다. \n", | |
"\n", | |
"\n", | |
"- 따라서 오른쪽 그래프처럼 margin을 주게 되고, 이 margin이 최대가 되게하는 decision boundary를 찾는 것이 SVM의 목표다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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2sLuMYiEvUMTA0r9/VLJd6UZwFPleOMzpbDh6lXatmK7seeiUmzUqdXLXavY74xVMy/4axfYth86wX0igL529dIXLpsqTD1P7735kd7Bj5VwOO2XRWj6PDg+hHl81VIpYAXIPjKDgG+e4zD5s1Z2V0QtnTlNAiFI6W31Erg+UpMAIlc/bsXT5ivW2MZTd3Nh+jBJmMBgM2Qh+KPCjhx8mfNw7PDzcPhpmuDuIjw6nH/p0ZCVj8fZjFH/Li+3zN+/h+xwT4k+PuLrQmNnYNy6e8in7+GkrrMiKRZNHq/CuPM03uGszKv3ie/b6ER3sqRQrF5q3bht1+PQterVOS3aPjYrko8fZQ5zW5jPu5HlqN9tPuQWwnxDuc51H4qYrGah70dHRLN+qm9Zi96hb/nR/Xhca9PM0GtWnHRV45GlWhoZ1a0muBQpT06ZNqEGDBtToswZUIH9+2rDvJPX+oi5VqtmI04iNieaj8Gqph6ntNyPtdb9n8/fpycq12C8+NoaPET5uhJG16RsPUozvVes6Dl1kP+HSycP0dNEiSlnLS79NX8Ru8XG5t/0YJcxgMBiyCfmhkFGTkydP0tatW9kON/khNOQe5J4FB/mTl3+wzdWixH9cqf2oP+l2eIBSKPLQsl2HLY/bUVRUKV6jZy3luHmVUvXHbOuzVmDG+O/IJU8BHkUb2KUplalsjYSBML9rrJws2byXujR8hyrVaGh53LbqlNuJPey/9ZwHeZzcxfbjl621XVC2oGCFebvxSNj8LdYImg7CxcZasn4c0Ilc8xekAq55aMiEWcovnoZ0bUEFHi1Nbp5e5H7dja6736SQ0HBVf2Op/ac16dkqdTmuDmS+UvJh6vz9TzYXov5fNaDHy79lO7PqfIjHJVbCZm05TNE+ly0lbP95jh9jexsSRIcG0KBu1ojgsPEzkIC9/eQ2jBJmMBgM2Qh+KGDkR2P+/PkUHBzMdpkWyo0/Jvcqohi4XzpGxUqXo+UbtpGvry9tXG5Nt/22aANRTCjb+4yZzGH3blzBStD4BavUvY5TSo4LDR03je//pdNH6bH/5KE3G3XksH06NKIS5apSREQ0RYQGU49WH5OLa37yCYuhLQsns9yfp86lW7du0fWLZ6nWy+WoYNGnKTT2Nl06sJGnI6GEAbsSE+TJI2EDx8+k0JBbdOLUyURbPUjd9Lt+gQqofLoWLk7uASGsKh3eak0/Dh0/hULDIyg0yI/+/uMXOuvuTVsWT2O/UX/OoOBbIXTT7TIdOX6O06xWugi9+Vk7CgsLo/Pnz9H21Us47KCxf1BQ8C3yunGNmtR5i/LkL0IewZEU5HaK8w4lDMQg7/FxNO2v3+nQmcvsVuflsvTI85Yid1v5S/vJTRglzGAwGLIR/YcOXLp0idautdbFyI8fjCF3gB9+mMiQQPr4/WqsWOTJgwX0LlSnaWsKCo9h5eWHPp3Y7amnStNLlV8ijPj8OGup8omlEg8XIBcVp2TJkhymQrV36bKnP8cb8rU14vN4sSeoSOGClCfvfTRtxUYkrSpMFI0a2JX98xe4j4+PlS5P249Ya7JO7VzDbroSxttXKGXm69afs1+B/HnpgxZtbXUy8V5coPWHb9HnnQayHS+SqBpMP3/bh+O6urqyMpn3/ofo2FVP5RVLX3f8iv3uu68QH1t0/Y7lTf9luJVegQJU9LnKFH07nqaO+5bd8ubNz+VR8JHitMK2bs7jnG0d2j5LiYuKjuXy6Nu2Ebs/8sjDPCX568zl9vzmxnZjlDCDwWC4A+g/dIsXLyYfHx92y41P8/c6+o//+TOnaP36dXTw6HGbS4L/sYP7aN36jXQrPJxOHztCN338KT76Fv1fAVfq//0vtGnTRtq+Zx/FaFWgb+dm9ET5N2jPnl0q7gby9LXWd7HyZ0vW/epF2rB+Pe3cs5/CZHsLlWZESBAdPnyYwqOsxfZwsxaw4ySODuzZSRs3bSbfQGskFpu6Sl4hH3Zv9+t009uP7ZbCaflfu3yB87tT5fdWhLX+S7aduHLhHG3YgPzso6CQMLvMMyeO8jVcueHJChXwdnejjSrs1p27KTjM2toDcmIiwjnvdjd73uLpzPGjtHr1ajp13hoRg7ukkdswSpjBYDBkM/KDIT907u7utHw53pS786Nhkq7kQc9HghufObglnN9L6Nf9r2u/nbBgXBQUR+IiAul+pYRNmm9tzcCosNE86kTUTylhz1epx3ZBlHfIdrYxa4qbtap4yd0l/ZoEu10dnT0osH8SfsDx+q28W9eh48wtOfT09PzmFpwqYXIhOOomOTeDwWAwpB7pQ+VHZ8WKFXTjxo1Ebs6QeM7sGSexPORD/5GDHW4JaVlhLDecJsS/V8D16kbKQ8rJmR8UEmvqT5VnBBbtu9CoiQvYD583wmgVFqKDTs3r0v0lX2E/vHHoTK58Ukhk634SHuju4sdxVHq6O+6rdbTuudQBPUyiNG2jVGLEnf2cuHN6tjS4DOzuCWElPI6OaUt48ReTG0lyJCy1F5RbL9xgMNw76J00jvLDIu76uYTJrp5N0vXz86NFi6xX7h1/XByN/iOUqdguGmno4NTRDYH/Hc4xjCEp5BM/8bHh9Ou4H+nAsYTviaLA5d5uXrOMJk2bz/bcuheWIWmSGQm7TTFK68YHP1EZQkKsTwNgp2ccw0PDlHuCdmxIHVJWODp2+gaDIStJXRvLzraItGDkB3fdunV08aK1L5K46X2EuOno/UiGkTTUce/mldSkaTM6ccWD5SOJ43s2UvPmLckzMNye5tqF06hho8Z0zcf6XI58nNmQc7HuZ4Ixv0V3DqdKGBohbsP5Ewfo1UoV6IUXKtGwsRMJ6/EW/fULPVGyBHUZMIxCIq1hxaTmug0GgyEnYP3YWEdfXx8KDAwkL08PCggKobiYKPLz8yc/H2/ysS165vBsyx7kRxDbDGDLCt0NyBFgR/Pz58/TggULqHXr1rR+/Xp2d6agpR1LCUNqPtesD1J/3vkby4viqM3HNdntxymLeVQmNjKEnnkwPz3yfDWKjFW/BSquLNw2JI9+b/lzQao85Vz9sfvjfsi9hZu4pweJL0aXDTIi25A+khwJwwiYstHIr9twozt103rKafPpe9Sie38KjUal+fccrhgd3e1e17jlmtHoQkJC7umyMBiyC7Qv+bH5bcQgKlioML365vt04OQl1SnFULXny1DRMuVp9dZ9Kqxt3ROHThq97WakHUt8yd+2bdvo0KFDbIeb9Jn+/v7UqlUrqlixIm8NgH4ZR+xJpcfPECr7kGX1/0SDOjQiF9eC5B0eR/5XT/J+Vkj3yUpVuXz2/jOPz+dv2Mfhscmnim5IBShnOYqRc/Un0bkze2qROGJQnxzripeXF/8mgbTKN2SMJNeE4YkG9yIs4CYVzJuHun0ziob16EI9Bo2wBbDWUEgngaPcWLnZjqTW7W5GymjXrl1UuXLlRGVmMBiyDvRTeGiMjwqjckUL0f9qWZ9XObJlJb1Q+SU6dO4qn6NNojVKP6bbdeQcR45jC+MYLrVI3IiICDp16hTbRQGDfOx2PnToUFZ68ubNyxtZfvONNUol6WccS4bIu37qAKf3y5wV9OeIr5VCVph+HjeS3TYdOkmt6lWl+4qWpbAY5NP6TRAZhjsL7p9urPqfMFUcFRVFp0+fpkGDBtHo0aP5XOqbIfv4lxImNwwNCV8lB398rxqfanRDf7G+Vm4NnSZxoxxuoF4BcMReOLjZCelkL5Kmnn525gOdG9ixYwc99NBDXBZAbxwGgyFzsdp4wseJV8z4hfu08WN/oto169C56/pmlgkPlPoPl95POOszMtKPSFxnaSB9yc/kydYO6TAYBcO0JMKJf0byIECGJdNSqD6r+QrdX/QJevj+AlTni14qQ7H0zKOF6clyzxM22Bz863SOh7KVuIY7h9wDMVI3hOvXr/Pvz99//02ff/459erVy/6bbH6Hsp9ESpjcNCCdVaifJ7X6qB7l5W9HobGhI4vhcJFht2jmlEk0asRI6tS+Lc1avs5+00UOEDfwwQcf0KpV+FRDQjg9bFaip4W09c41u/Ig5XDgwAF64okn+OO9ILvSNxjuRaR9YQmF1QaVIvGgK+W571HyDLI2g8QUnN4O5QEJOLZPnIuBPHwD0tE9rUgcHKVvkv4Cbj169GDl69dff6U33niD3nnnHfZDmPSm6Ry5Lkup2rvO+rwMvn34z+7jyhcP5v3YLf9DT5Cbn7WsIsW9qQxZhtx/Mag/ukKF0VVMcWMvOmxyunDhQvrjjz9o4sSJ9t96/ffQkH04nY5ERwVu+bpTtVdep2VrdtJP/TuRi2sh8gqJVnfJGtXasnwWvdugCbl7edPcP0ZQnkLFKBo30DYsLRVCOokjh49ww3333XcTud9Jsjt96VTRIDCdgIW4QG8wBoMhc0D7ljbOC8ltPzhzJ46nl597nlzyFaZDF65zu8S+TAi7e+M/1KNbDxoyeBDVafAJHTl3ld2l7QrSf0EBK168OAUFBTkNlxYQHwZIXrF2tF69etx3Llu2jN0uX75MJ06coJUrV9LNmzc5Tqb+iCoRKC/IjI8Jp0qPF6L/Pl+NouKQzm3yv3mJ89O4+1AOLmWRKWkbUo2UuRjHuoe1Xhs3bqR58+bxbw6mH/GJrE2bNtGcOXMoNDSUwxkF7M7xr5Ewa7F9PF04sZ+eLv4Y/bnQ+kbVuQNbudG17P0dxagnHtxsjOLIrOSEb7rR25+146ckvUHqFeOTTz5hxQNyMBwKJGx2YF2fpRyiEmJYFud6frMaqeyenp40atQo3vIDiLvBYMh89Lb9+5ihVL9JF/L3C6Rn/1uIajXrwu68qFz1f93afkHz1+7kvu21skWp6/DfLH/b8gzpK6Rf69ChA/dpP//8M5+ntz+R8DiKAubm5kblypWjwoUL05EjR9jN+n6fBX5EZ82axW5IV/qRtKbtiORfrnHB5F/o95lL4KOUVcvtuz7daftRh+lQ/mvISuTeiME9138/UHewpnDJkiVs8G1ScPDgQR4Ju3DhAr9Zixc9gP3e2eQZspdESph0Hm4XT9NHH9Skyi9XoR3HLij3aBrarwdVrVqVqlStRgfOXOFw0hi3rV1Czz7/Bl32CODKoA9Lyw3es2cPd1TyVk+1atXYDya7FBDkWfLz8ccf07u13mW7XLfBYLi7QLuWtx2D/H2pb+cWVOTpVygSzf12HHVtXIf7o8WbdtsfIIXYWz5U/KFHaNORC4n6DiB27Okli+SLFi1KwcHWN/jS0qdZebT6HxxFAdu3bx9/7LhSpUr8WSMgflY/a+UBu+w7bvKaeST+YZa8OrrpR0PWoJc9jF4fAd6S3bp1K496YZABo2AAdRKjXngZDKO1UNqxNhuIDJFpyH7+NRIG9JsrjVpeWQY8rB9ndQar5v5Nb75Xl6562Tbq0zZwhZH4nTt15jVQUMLuv/9+/lo81kUBx8qUlUh+sDs1Ok58KkR3zy6yMy2D4V7F6oOsPmn+9L+oQf361GPQdxQVf5sunjhIHdq2oebNmym34RStgmEdFIgOD6b679egH36dxed6/2DJtM4bNWrEShwUMRy//fZbDpPa/gRhJJyuWOGD3pD32WefUVhYGLuJn8SBEWUPHzrevHkz2yVtkZteLBmWHenoiqWkLWlkNC2Dc6x7kPh+Sz0AOMfLGZimRp05fvy4fXYF7Ny5k2bMmMEKGWaupk6dysoacKxPhjvDv9aE2W8GbrjDjbFuVkIlWDrjL/qySx/7ELSMjFnhEmShoqAjQSXAsDpeh0VFwVC6FTZxOlmFpCX5nzZtGnd0mBp0rNxZhVwr0jJ7sxgM2YRD+3LW3rAtDwjyuEaf1H2PJszG9Nu/FSr0FQD9Bl40wkgVHuiqVKlCjRs35n4O4SVcUiCMyNXTGDNmDPdL/fv353MgfZPEkbA4Ih1MR2LTVqwTA3r49JM4Hd0uR0c3Q+YgZSsG91gvY4xo7d69mzf23bhhI9dFHfy2YERsy5YtfI7f3ylTppgRsByI05EwuTH2G6TZpbNY8vcv9HCJp2jL3gO0etk8atejn7Vjsm0DV8EuwwZGwWTtREqdVFaBdCXtrl272t9sypyOK3kkXTSSYsWK0bVr1/j8TpWFwXA3I/0PmjTaGNq41YdZfnIuD0O3vN2pedOmtPO49emggEAstk/cj4kd+3YB/BhCacICeZCafkSXJ+GRh/bt27MsbB8A4Cd9gx4HiB3+sOOHeenSpfYfZD1eZiN50U1S+TSkDr0sxUjdEPBCBnYXwNuNWGgvb9frYOnP7NmzeZoaoF5gBMzbO2EbFiBpGO4s/xoJSw5+WwYVIzKMun7VjPcY+eyTj6hWrXfotxlLOQxusNxYucnSSeCIkbBx48bx+Z0YBZI8iRGQb8e8ZwXSAPBEgrLAUDIQd4PBkHno7VzsbLRz3rZC9U23/DzoxZL/pQZfdqSVy5dQ888a0LQVmOL7948h4sENfRrW4UBxunrVeotS+ruk0P2kD8Qi6Zo1rU8C4W024NgfOZMpbpI/LOTH1BS2JEA+YICzuGlF8gADuUhTjCH96OUqZSv3DWDGCOsDsZge20vgHutIHcISG4TB6JfcEyhgmPGR9WHiLmkZ7jxpUsKEpG5eSu44YiTsp59+4vM73XiRH+RBr/C6PanryQgiH9+uw0JevDIMTEdmMNwBbH0AOHNwN3Xp2pV69exBrb/6itp16m7/ULXj6D7Ajx/sooRhVFv6FOCs/xA3HOXHEw9iWCOr9wciGziTowN/GEn36NGjvDAbwC21clJDUjKwvAQjcJKXzEjrbkcvKxjH34Ab12/wdhJQrPbu3ctblQgIL/UHQEnDgnu88S9g+yMoYDIyqtdLGEPOIG0jYdrNk00P7camXDi7wXKOY05QwiSPMMgDjjNnzqS//vqL/cUtK5BrxhsrWEeC14bBnSoLg8GQ0EelBWmz+NYjlDAZodAf5ATpb8QuP6CIi5eVsPmqrNfRf1zTki+ElTxt2LCBjh07xnbJT1pkOQPxJQ1MvWIadsKECdSyZUtWIv/8808OB/+MpnW3ImUoBvdGry8YwTx65Ci/7bpyxUr79hICylaPExAQwEoalG5xwxGjZ1DAnE2RwxhyDmlWwuTozIifI7pfThwJA3hLUjpSVGLpSJxdT0YQeVhPgk+QyDCxNCCDwZCNaG1cNnNF24exPkad0Hc5In1HSkoY4kp86VsA3lpDvC+//NK+O7/46XFSg4TFUWTgbTkPDw+2S57SIlMH8SADJiIinN5//33Ou5hChQrx1BeHs6VvSADlohu5RwJGqzANjYX22EMTMyWChHeMh90FMPql1zuEwSL86dOn29eEpbdOGbKHdE1HphW58TjmJCUMIE+Sj+bNm/O6DAA36bgyG9MQDIbcj/QbySlhaOvS3vX+DltZIM7w4cP5XO+HJI7Ek2NKSDhRlqAU4Ufdce+y1MoTEF7iyEax586d4xG8fPny8Yi+XIdMo6Y1jbsRKQcxcl8ElCXeZsWGqljHd/bs2UR1RP8NQnzxg4KGhfkY7RQ3GT3FQn0oYDIt6VinDDmPe1oJk3whHzCo3OgYsbEdkA4lKzANwmDI3Uj/5UwJQ/sWAyQs1k41a9aMw8+dO5fd4Kf/OCOO/GA7ykkJx/SwOzrepsNIm8gDqZGnp4uj/NBj1AbfrSxYsCArYFDGsJkswki69zJSbmIcywQL6FFn5s+bz4voZd8uAeElrpwL2A8OS2euXLnC57p8KGAYXZV6KO66LEPOw4yE2Sqo5AVDwVhLIW7iD5MZ6LLwurEstsws+QaDIXuQPsOZEiYGiPKCpQevvfYaKy3YvRw4Pug59gMiQ+83kkMPp/dp2LYAsqRPA8nJ0+XgKLKwhhV9ODbextcCsKdZq1at2E/vL+815LrFSFkLsGP0UN9UVf/8lNQXiQ9wFBkYzUQ87AUn9Ql+Uj+g3EMBwxu6QOLp8gw5k3teCdORCq2T2RVYGhooXbo0P6WCnFYWBoMheaTNihIme/7pbVl+aDHt9PDDD3Obl8XWugKGIwzi4tipYyf6559/2E/kSZiUkHAwEhf7hznbQkOOOhIXIL70i1h/hOvEJ98w1Qngj7fwHOXeK0hZiZH7J6CcoHBjWhjTh7JGT5DwuhF3AW+7YvQLD+0AYVDWcl8wyqmPjklcXZ4h52KUMIVUVhjkSSq4dKC6f0aBDGk8ZcuW5c4RyNONwWDIHUj/5aiEoX1jpEO2BlizZg37YzG7KC+igOn9Co6QieMvv/zCcRzX9qQWXab0Z/ihxqJtuOlGR3eTNBG3b9++nB/5LBPQ8yRxHOXdzUhZoXwc7w8UppUrV/JbjvjwOt56FOR+SHwxAEeRBeUWvw/YpkJ+i+CHMBIfL3hBORbFXvzFGHI+RglzQPKEYd+XX36Zz2FQ6UFGK7beOF588UVaMH8B23NiWRgMhqSRNiv7hMm6KFC9enWqW7cub3sDv06dOtnDy1HvCwSci3/Hjh2pTJkyFHwrONEPd2oR+dJ3YTsDWe8qshwNwFEeCrGJ7LvvvsvXsHjRYnZD/vT+ULeLjLsVuUbdCNgWYv/+/bxlxJrVa+zT0wLKzVl8GCDlCLAkBkozpnwF8Zd7B8UMO+Nj3R8Q+UCOhpyPUcIcQAWHwVPII488QiNGjGB3vYJnBMgWWU899RRNmjSJ3c1ImMGQu5D+C2uuoKTgMzLgzJkzvO4LbjB//PEHu0vbB2j/jv2JnEs4HPGghm/tAr0PcozrDD0sZAGsS9KXQMBPDMBR+iIoAthAFkb2HJMRPKDHu5uR69SN3EcAZQujnZhydNxUFeUO40wGDMBR5CEuRr+wM758Fku/7yIL9wEKmLMvrkhYQ+7AKGEOII+SLyxmRSeKii7uGa3giC9m3bp19icd6SQNBkPuQPqJnTt38luCGPXCw9ugQYP4HNs3oP8YP348/2hK/yHGGeIu/QHkYQoT7pAh7snJ0JEwOCJ9mO3bt/OIDZBrAJAt55hGQ94xhYrRMOCogN3t4Bp1g/LR+2lMMWKrCEw7JrWpqqMMoNt1eVg3iMX1olgB3V/kQfbcOXN5SwuAc5Epcg25B6OEOQH5lLxhI8UWLVqwXSp7VmEaUO7GXs9VZ4m64miS6pRTi12+xLdOEuRodgljt7Mt/eiycC36eXbC6eG/LR/yI5Xd+QBIH2CbAYx8YddyLKZ/6KGH7KNgpUqVokaNGlFgQCDnUf9RTQq5lqSuSfdPKoyOHh7pYyuD5cuXJ9rKQK4FyB5mWAcm+dX9U5NmbkXKVDf6tQN9Y1VZ4wckrGN8QT/HUeRinR7emsQIJd5yBCJHkL4D7tja5PSZhM/d6TINuQ+jhDkgeUWllw4LnxOBe2ZW+IzGN+ROsJu4fIcQdSAt9UDCol46q4ssj22OP6xpS8eQOqR8ZWE+thHAlzeqVavGo2KYwkP/IaT2HvB9tBm5jxiFGjt2bKIF2CAtMoEoVejTMIqDdUwiCwrFhx9+yNeCqS4gdQ1Inu5W5PpgpP8XsP7KcWNV8Uf5wK7Hh9HR3XS5+FYoRr9kVAuIvx5ezLx58+jUqVPsjnQljGN6htyDUcKckFzF1t2c+acE4kgjw/oMefsJbumRZ8g5yH0N8Pbg6Rw8KeOpde68+bRpy3a66ZWwKaOuiGWEf8f/t7zMqFZybSFBvnxtvoGhfK5/2Do74OtV/2MiwmixUiKueHizu+QvO5H+Sxbm4404uGFETPZrAqn9sYSfbvR4AFtDlC9f3j61Kdesh0kOXS6AQgelAqAverLUU/TAAw8k+p6tyJa4dxtyXWKkbAQoq1s2b2Hlx9nGqo7xHdHdcRT5UM6hsMOIou5Y3gD3GAbnWPAPRRA4C2vInRglLAkkz9IIMP+PV40B/NJb8SELnSioXbs2DR48mO140oKfIfci9/XI5pX8o+ySx5WnqfRF2k3adiHvYKXAqPqjf/Re6pnULd2In3S8h3espU8/b6zkRFhylHtCGEvGL98PoO6DrQXdGH3TZYkdBujnLEc7hwHSVi8csxah7z5+hcPK9xWdGShoCecqMh/1h40Efz6z2WEc8ylGrvXWzSucj6lrtrK7tB89ni4fRvcTuy1hu7uVTcueElImooTpb8NB+RZFTE/LUa6kJUauQYAdyhKmObHPVKVKlf61OWpq0dORvGP9ET70jPVrVatWtX/L1nH9l9jvBuR6xDgrc9lYFUrqyZMn7VtEAAmvy3CG7qfLx4sbGP3CKJgg/o5xJB2MWsrLEXLvgIQ15F6MEpYC0tHh9XN0tHgTSndPayNAeLlurBUZOHAg2/VOz5A7kft6cuc6Vrw2HzjLazxCQkLp5vWrNPGnEVyHqrz3KYVFK2VChUccUcYYpaQkdMhKqdL8sNYMdWTHPwuo0ouvkHtAmAqr6qHNH8Ta8tC/Ywv65KuebEc6UJZ0pP7q6Gf2Hw0VRq+zl07u5WvbfzpB4RAlD8h6OCHhXMmxnFIgcSg9H7rcaH8Pyueah+Zu2m1N8WrXkhAuwc3urYWz51lzAw6nSSLp6DvmS1nhiC0GZM2Q/JgCHHUDP/3aAJQhyMXoB17gkY044Y5F/9gbCkhaKSFpAT0tvDSAvDdo0MDmkuCvx7kbkOsR41h2uFeysSrWfMk+b4KE140zdD8cpTzxIL9q5Spej5fU6JfYUSek7mPkGRu2AsfwhtyPUcJSAHmWfI4cOZIef/xxPtcbSVoReVjw//XXX7Ndb1yG3Inc15M7rM05dx23Nu/U7+qO1fPZ76eZy/g8zjad5+3pQVeuJSg2el3w9/HijUBj4mz1TcWJio5RYazT6Igwngq7FWZtCIm4ouCBhBnD2/wKvJxCQQLhYaEUyUrabbp0SckJj2J3PQ8i6+IJvDGch46edydP9+t046Y1cgL08LFRkRQalrAeituK8g9V6UfHyHYstylMpR0RaaUXGnKLkKPbsZF8PZGxVv74emwXER4aTJeU37WzJ8hVleOs9dZDEdwx8hQUaqUpeYHMmDjLfkM9SIGIsBAKCbWmUyVctMpvkO1D10C/lqSQMnG2Yz6uF282QhHDVgOQ52gkvoB7g20u8Hka/FBjBEbf5FPCYwQFShlk4OFN+iGR64juJqO1WAyOh0Dk++eff+ZrgIKHsLq83I6UiRhcm2O5Y6RRNlbFtxlTu7GqM3R/KUeAkTWMfuGeCno56/FwFD/UBeQJIN96GMPdgVHCUgEaBPIKg7edevfuzdeiN4rUgvDSETZp0oRat27Ndr0zNeROpD6f2L6Wf9y2H71s3W9b3YmxjUZVe644lX3rY/aLDgukzi0/49GNPHlc6KW369JV70BWosKCfanTlw1ZFsz9DxelawFhdGLjInr00WLkHRlHl4/upQplSlnTnvnvo/EzV7Dc/q0+pOpN2qPCqQocS9N+H0NPFi/K7a/YE6Xp1ylzLYVHmaFd29KLb1Sj+u/XogL589KDxcvQ5gMnWY7Ucbk2KGHIa+mnypCryi/y1ab7YIqItq4xxN+TerRrTg/eX5gKFy5Eld+oQZv2WdMotyNvUeXSxenXuZYCqjJGDd6oTF1/+JnPWtSpSW+/V5veqVqF8qrrKVOpCp26fNOuLM6ZPJ6KFMxL+fLnp/sLFea0/9l7lPasX0r3F8zP5/nuf5hmrdjIeVZ3hOq9/TL1HjSaOjaux/6fd/iadq5fQUUeeoS2HLlgte2ocHqzcnlq3Ll/omtOCSkTfSQMQCYMZGDNJ6aSEFaMLhvtHlOCogRgWxxsqqqDONI3JNVHiEzHfOvu0u9A6ShXrhzdd9999pF9KL2YftN31AeO8nILcg1i5H4IUHixpxdGGrEjvT6VDOQ+OZqk0P1xRHyATwphKhlli5cggF4HJJ5+LvcY+4UltT7PcPeQrUoYKhd+BMaNG8duesXKqSB/kleAPYE+/fRTPsf1SINJy3VIHHzaRJ6M4JbTy8KQPFJHTu6wlLAdx6wpJChhmC7DlCDWbHVq9AEVeKQC+43r35ZcCxalw2evUKCvJ9V8qSxVb9SJ/Qa3/5zl/DVnMR07coiGftOfLngH0ZF/ZrJ7sAozqO0nlCf/I3Td04vWLJlDf9lG2Do2eI2erPEx26eOHsDhB48cp350t9O3fTrz+ajJ1tcavm7xCa9fW7BqI910v66UxBL07Bt12U+mGuXaLp3ax3EbdexFR44do7/Gfsfn42atVL63qX7ViuR63yM0e/Fy2rJpA9Wt8Sq5uN5Hxy570O24KHpQhR06aSbLQvhXSzxITb62PoVT/6VylPd+pRztOUxul8/T4/9xpQate7PfkS3WOrsO/YarH8zrtGfDCj5fe+AY/TqwC/UYMpLOnjtHzetXp3yPlqNIbkpxVOulpylP3vvor9mLaMnsqTRk7J/qPsRQ2f8WoFdqN2HZ25dMZVkbDydsfJmalihl4kwJkzKDHWtJsfmmzs2bN3kBP5QATH3duHHD5mOBeCJHNwByxUAuprYkPHAMD3fJ68YNG1lhx9dAJE0oCgA/+Fh8zrIxzW2LL8fcgH7tMHLdAu4RlC6UO/ZKE8UIIHxSZZ4ceji5BwA72WP0C/284HiPxC5HyS+UtgMHDrAdbo5hDXcPd0QJw6vWqFh4MoNfbqlYjvnENThrVIZ7E+lAT9iUMH0kDPVERsLee6k0Fav8vrLdpkrFCtGLNevR3LlzaNbsOdSu4XsqbkHyDwqix/K6UK8R1hcVdHYtm0J5lNLkG3ubtiyZzmm16t6X/EMTphF7fl6DKtb7Qp3E0cOuLtRx0Fj2E/p/9RnlfehpVjZ6N6xNL7z3ieWhmDKyH+V9tDRFoD7b1qjJtV06aW1gfMotYbTmQ6V4vflZe7p65iD7bTp4zuajiIugMkUKULM+o/i0qMrL95Nn29pLPFUrU5S+6D+c/d4pW4Ka9B7CdvB1s7r0xOsfcNivW9anIk+/aPNRYoO9renIddsoOspaNB3s500DOn1BeYs8TgExkE/0RtnH6P2m3dlfZ+OCyZzXoxcuU4PXy1L5t63rF6WTI6eAlElS05E4siwFRrjwlh0WV2PNEd6Kw7YE+oJvhJU4jkb8AWTDYJrzmWeeSTSa7hhW8gjke5Rt2rSxK17iL0codbJgHGk4ysuJIG+6kfIRoKRiSi89G6umhITDUcoQ9wU76GMkC1PSAH56WN0uR4kPBQyjdMAxnuHuI9unIwsVKkQTJ07kc1krAXJyBUPe9HzqDRzkhmswZD3SiZ7Ybq0J23bkErvFaFPNl49abxd+PXYq15cSD7hSjQYNaeyYMTR06FAaM3YczV20nPy9rlGBPC40ddl2VgzwQxJl28hx19K/eeTqcoB1vmLO31RIKTeuBR6ijXutp+7OH1WlSh+pH+fYUMqj0pu2fCfLwY8C1qGtnDxOybiPkON+TevRc0oRRF6RzzljB5CrUsIwRqBqPo/iybVZa8JcaPexi1b7VW7dW9ajlz9oQnvWLWDl0OuWuuaYaAoLt9bWNHqzIr3aqANf7+NKsRwxdS4rDJD71tPFqEW/YRzunfIl6bOu/Wz5iKNv23xIRV/9gP1a1n/TrihCcQm8cYmVsHlb91JMxC3q8GUTqlWnHtWu+TYVLFqSvMOVQqL+vVz6v9Rl8ASWGRUZxUe87BAfHU4vP1ucnny6HF/Pku2H0IBZYUY+U9OWpUzk7UgoYSzf5g7wYgb2dcKUFJYxYENO+WEWEF7S1E1ySBp4YQjTw1OmTOFzPW2xY43TV199xXmc8NsEdoN88Zf05BxvdspWDKKc5EQk3475Fzw8PPiNUii9WHCflo1VU4OE18sICh7WAcpCeiBt3zENseMoeYdyDoUdSP6AHs9wd5GtShgqFdZUvfLKK/yBbODs6S0noucRjQo/BJhWRUPHuTSi1FyDNEqsBZE5f70hG3InUgfk7chD57VF68rvwI4N9IRSuh4u9QJ5BFkKygcvPUOVP2jEdsHf35fiYyPo+UcKUrWPvuC1WwLqyJ7l05T8++i6kuF+w9pnTqVO7/2vDD3+Qk0O0/Pz6lSxXkv2qVS0EL3eoHmCnLhoqv9GRfrv89VYierdpC797z1rjRqYO24w5Sv2LIXhRLmJEgZ/jITh2k5dsz5lExXiS08UcqUv+o2lQI+r/EM/ZspC9gPeV85QXuXW88e/OX4RZR84YYbNl+jFJ/5LrQePZPt7FUpTox4DOU9gaLuPqcQbtdk+5Yfe5JL3AfIMthTP2xGBKh95aO3B4zSkc1MqWv4Ndt+9RJVNoYeIVz+p9KqULUadBv7CaWM62H4tynujbRTxhRofUrQqHCh+8E8JyIKRMtE/4C3+mPYSBQBTfN7e3txnYJQDygDiSnzdpAXEB5I+FA3IgLus/0I+KleuzPds8+bN7AZ/R8UABm4wUPihSEjfLH0TzJ1G8iFG8iygjLGXlrzcgD5W95dr12WkFT2e3AOki7dYlyxewpv2AvhJOMe0dHeRgVG63bt3s90xruHu5Y4oYW+88QZ3Cn///Te7wz+3VDQ0YFwHDNZVYHE90BtNSqDBAnxjrkaNGmznkQGtszDkPuSHT/YJe6ZCJar+9tv0epUq9NjDRdit3Ms16eRFrMWx6vyxnRvY/cESz1DbNm3o9RfL04NlKxJe6FtvmzIrU+Fl6tqpI71c6QXadfw6HV09g90x5dajSW0qXfE1+va7oVQkn6tS2tpwHlq/q5QsjCIpOXvWLLDL6dK5M1V4qhiPpK3cYb111eq916nYy9XZDqZ934NcXAvzSJiq8TxyhPoNLhzbxbJefrMWde7ciUo9XJDyPlicTly1Xuf/vldb9v/gw8+pY7u2vHi/1ItVyT2QVTpq9WF1XiM2bPgP1OyTuhz2ywHWdORL/y1A73/Vle2gT6MadF+519ke4neTXipbgv7z4OPUqnUbatOiMcddufsgdWtWh/I99BQtWriQar5cnt1H/z2L21O5B12pWTfrI/yxMaqNqQLBtcDvwpHtHHb6P7uUryhnzvsi6aPEID5GAgF+OCEHU4379u1jxQvTevgurJSbEBgYyNtLoK5IPoCzNJNCz4fIxxonpA950r9g0T32/6pQoYJ9iwtRrIDIEGBHfByhvMlGrlwutrB6+OxETx/GsVx5U1Wl7GJTVSilfn5+Nh8Lx2uASQ96XLl3KFsorbKPJNDz55ie2HGUcBgpxXpjIHkFejzD3Um2T0fijRxsDnjo4CHuuPCdMgzZ6xUvJ4M8SsPB4lpcAz6IC1J7DfJjjZE0bNgKcsv1G5IG033gxoVT1KtHD+rYqRO1bduW2nfoQN8M/Y5Wb9xGUba+GQv0pRM/tm8HdWzzJdWrX5/ad+1Bu4+eUnXB8tuzZQO1+bI51alTh9p17kY3/ULo2sm91LlrN7oVG0+XTh+jnp3b0/vvv0vdB3yr/G9xPZo7aRyN+H0KKizLOX10L3Vt15pq16lNHbr3piNnrQ/Hw3fB5N/o+1//4HOwb8NS6jbwW7KtMOPRIflxDg32p99/GUuNPv+UPlB1t1f/IXTxuqWAWe3iNv2zaA41+uRDqlO3Hg0f+yv5BFsKGLaZCPb1oiG9u6rrqUt/zZxHP343hKYtxqJ+op+HDaa/5i9lO1g+cyINGfeb7Yzolr83TRg3mpo3bUotWrRUSmBnOnb5OvndvEptvlBurTvQjJlTqUXz5up6pvClj/62P81evonjSxuT9tuqwZt0f6mKFKGaI4+C4X7YygsgrKORuAKm+jB9V7hwYe7XsAgbbxjqSLpyv+WNSSB+QI6pQQ+r50ncseQDfVNzVRaSH+l3gGNaeh4gD3nFwnWsdwOSBvwd42YVkpYY5Em/Vtixrg6ji1AYMQImCihAeBhHOelBj4uj5AMzOnirVaY64a6HE7vgTAbWjzn7DXGMa7g7uSML80ePtnbyxlQchsqhzAB0EggDECenVkLkSxoQFKn8+fPzELQ0+pSQzhAbJcpImN74DHc3eh1Jsr6oupByXXJeXxLXo6TlpKau6iRXPy1ZKq0kgsju+elFtqlIG/9Oj9uZOnpdPM5Kyi9zLAVQRoicGVybXlawyy72WOP1+2+/88i+9GMA6SCcM1kAyhp+fIG0fTGpRQ8vo3JQQnqoBwBcm/SzQPqr5NIQdxwRHrJwjZjSA7qMrETyKEbKR8Bo4s4dO9O0qaoeP63o8eWeAqwBlOUkIKUyFjccJSze1NQVXT2M4d4g25UwPDFinzCphIJe6aSjgltOq4z6tcDgLSO8dYQnIfjpeU8KUcImTJhAL75ovfGF8pC4htyJ3HPZJd6ZQRhH4zScTZ6jO0alRL6y8uhbIn9bHZJzkGQaEKCQcwGjQuzPZwn55DNnslSakl9n/nq9ht3RHwbodpD43Gpb4iZGRukc3WES8pLQJnEOujV8j1zvL0nBkSqcii95lGsQmTpJ7WKPN9mg9GCzWIkncmCAfkQYGEwXYh0XkLQkXEro8qQ/wfpUfHoIeenbty+7pfXBVvwRB3Zs4YApPvRvkm+Qkpz0IPmDQTqO5a9vqoqF75hBESRvugyYjKDLwFHygyOUv6RGM8Wu40wORtEwhQocZRjuHbJ9OhJKGEaPgDy9SePBUwXm9oFUVLjntEqpX4+O5DUpf0Hc0anL6+B6PMO9gX7Pxe54rtv1c8ejM3+LlOWkFse4qTq3zpL209zTjBZXZDqzC7z9hDre8nGj555+kkZNXsTu8gMII/2OgDcZHXex13/8EQc/pFB8ZIsKUVQckbyIwgA5WDuGtyeB3uclheQTQIbEwVo0vHmOD3xPnjyZ14Ih3yA1cnUkDbkOvFQAxRNIWQH9mFrjiKM/0tTD2TdVnT+fRw4xlasj+dFNZqDL0vOEtXJY04epWqCXbVJpizuOEh5KHPaJA87K1HDvkO1KmGzWCuQpTSom9q/BZ4HwRAfEPSeiX5PeiIBjR2Iw5BRQL62qmTAi42j0un03wdejDDZrlU8nJZRHAuiXHHexxxSYDto8pusQ39lmrUkhZSphMMKE/aTkzUrp85yVvZVXyx3hRMaM6dZbnthEWt7M+/7773mKFIohwqWnL0VakgYeFjF1BvT+TvIEA3fdD0jaejhnxjF/KEsoqM42VYVMGEcZmYXIwlHyhfTwdiny4+9vvRksZZNc+s5kQfmCEgb08kpKhuHu5o4oYY6fLZKGCtO+fXsOg0WWUnFzYuXUr0nyiIXC8sanuKUq7/ZwiTuUVMU1GNLMnatXUr9h9Havu2dl7iBf0NNEHqAIyS72OKa0i71MA6ZFCQOIC5AmQLpYWI5RN/hJfAkHJE0g8XDEt2eR9rBh1l5rQPLVq1evdO+6roeV9LZu22pfA6XLk/uoExlhvWylo18XDM71ssJLDrKpKtbayXSvIGk6msxCl6fnDfVg9uzZ9g1UgVxbcumLH44SHoqcbM8k1wOSk2O4u7njSpjuJ5V+4MCB9Oijj9o7pZxcWSV/AA0VGydio0Pd3RG5Tgyt480e+7Up99u59HMhhtwB6pRVrW5TgL8vT4ljCQDqrLeyeyoTGW29YZbZ9S8h7X8rKngbNKvrvS5fDPKBI0akMPKCETBRYgD8pP9xNNK+06qEAcQHIgNv+WHkDeeSJyBpiV3yhvv1zjvvcLroQ4AeV+IAsTvKTQk9HgyUJGwmKsqRlIuA9W1Q/LBlR79+/XhzWkyTYk2ZbFAredTJ6k1VU0KXiSPSEzummufPm2/f8iK1ZehMHrbOwFpCoJddcnIMdz85QgkTf2nsAN/dcqzwzuw5AeRTGhq2nPjss8/Yrjc0HelI0aGhPIScc0WGuxWuq/wK421q9XFtKl68OBV99BEqrOphyZLF6fFixWjXUWv7CqnTSeHYHpMyCWHYam/jYcEBtHnTJtp/2PrANwIkhOfDHQPXLv2PbnSkfNKrhIkROZh2c7ZQG8Au/QYWpT/yyCNUTN0r+fYs/BzDyzUAWccm1wT08EkhYUQOlHYofZieFTdM144ZM4ZHD/GyATZ7RXpYzwUF67vvvqOpU6cm+lwQ1gNjXzOstYO8c+fOJSq31JR/ZqDLRXqSB7zpiodq2b0eyH0CyeVF/HCUONiCIqnpXMO9TY6YjoS7HkYagrjJegC9kehx7iSSD+k00OmgQ9Z3PnZE3NDhli5dmke/QMiu2eQzqjZFXbE2/cMu63cCKVe+NpUHNpqbIWeR6H7ZDTslcpNz2S7C19ubR8FGDupKroWeoBvqB9bLy5MiIq3PielxdKO7AdTnpAzSAhKe3dTx+vnj9EwxawNbmC97f8O73Iu/CszxshrJlz1vqg3rbjBJgfAgPUoYENk4iiysFcKUHIAb/PR+D1N1SAv7xgUEWN/v1BUwHMUu8XGPy5QpQ0ePWJ/SkbQkXEro8gDWh2GRfHxcPI9a9erZK9FnehjbPncClC4sNZk0aRJvagoFB+WWVZuqJoXI02XjKNcGkC/s/YYXEoDUCaDHc4YzmVBMMcoK5PpAcnIM9w45QgkT9HDwE1OzZk1e+wD0DiknVWLkRfJ15swZflKU6wCwS37FDUPveJqNjba2xQxcMJDcPnKhiGPWE1N8XMK0iMGQHI5tQc6TOur8/csQuu/hsv8aieUfH9tRx5mM1IApR94u4nYc1atSngo9/iydPHee5v85hhWLOWut7RrweaH0pZB29HJJroycIe04vUoY0NMUeRgZwm77QN98dPDgwZzOgAED7PGc9S+CyER+8HUOvJmuf1InLTimh75r+vTpidaiwQ9GzwXiyQgejn9O/JP3HtNB/riu2a5BTFYgcnn6G2UDY7tf2G9szpw59m1DgF5OKeUrQXbCvYQsrG8DXDZaGIMB5CglTEcqMhoInpwQD7uPA2m0OQW9QTnLl379QK4b0w9Y+xYZHs7nQcuG043mLhR50npz5o6PhMVGU+juuRS2f7F9tE6/1sxCLx9rbVDiJ09D8kgZxSmlPUzVpRhbvRF3mYqS86jICA4XFW29nTzxx4GU/8GnKUrZY2OiKCj4FkVFWdvHSF2NjYmm8NBQirC5Q5b4zZr0C33xZUv+SPSXX37J5qtWOLak/WevchiElfDu54+wMjFpifUtQ1ClzGP0ch3rW5e8lUQuuO9yPRlRwoBcq/RrmM7DiJe8GIAHunr16nEaGKEBCCfpI35S5SUyQd26dalKlSo8s4C44p4W9Pves2dP+zYLMhrHJiZSPUiuo8hzO61z5Y84sEOpbNSoEa+HhZu4i8kOJBX96vHJIJQtplsBykbyk5q86WGlfDCViXV+QK4TpCTLcG+RY5UwQToKPKXgu5MYhkeDR1zHhnInQfpipMFhugCvM8Mu16GHCwsNoYvnz1NcVAQrXEFLvqMbTV0o4vg66ylN/SDyVKBNnsTParBZJ4iLCKabHV3Is08xilcKGUhPx23IWqx2QBQdGkhvvVCWnn+1JvmHRSv327R2/mQqXuIJOnz+Ooe7fPIAlXqiBDXu1JdibdOSk8Z9Q4UeKUfRkBF+i1p+9C49UrQ4zVhm/cCeObCdnitdkl54rQZd9wniF0gwoiXt97eRQ+idWrWormqbH3zwAZu6tT9gt23HL3AYhJUf6g1z/+QXWE5e97O149s0tEMj3jw1FB/NVD+TuaGeyfVnhhIm7VpkYlkDRlAgu2TJklSkSBH7vl9SjkCP64guE3nC54vw3V6ZOoS7LiclEEbyhzf8sM4JeZTRNf5sF8IEe5N7GxfyGlKJ4/AGw1pcKG7O3rLMSpAGG9uLT5E3TlHkvF7ktm0BzVuy3P7ZICD5BBIvOcQfR4mLNymxrxyAm/VgYf1epUam4d4hR4+ESTwJh7UN+D4bzuHHlVt1Lrr8Ow3ygE4SjB07Nk074gevHEPXG7tQ1HlrPdmdAp0FiI8IIc++pch7aGWlCGbNG3NAv3/xoQEUHwLF1cpDTrinOR2uc7Y28tOgzqwQzFpj1aHaVSrwedsBo/h8ePcv+HzBxn18Dn4Z3pNc8jxEkbbqeePCCXrsP67kkrcwrd+8jV4vW5TjrNqZePPPtBKLfbXUcfGfY5U8V7rhhxFgq53/NrQ7fzTcMwxtG2nk/Psu5ZBRJQygDKSui1zIK1euHL322mv29UmpVcAEPawOzvW+E6RGFuLANGnShPOHNWF4+xFrvpBvhIm75Use3YuQz8i3rXjKSFpSNiNHjuSF+0Dcsgr9ujCiy8eT62h5dReaMrANefokvPkoeUEcPV5SSBgc5b7hjVD9jdWUpRjuZXL0SBjCS9zkGqo0fiDHOwXSl8aMJ8SCBQvyYlRg5VNdhwoTpxSNsE2/U+zmXyl04290a9NE8vu5Abm3dqHAWd0pRJ3f2vg73Vo/gacEs2o6EPISyk51lCodrEXDMS48iDx6P05e31Sk+JhIm5+6Bn6aTOisMorcW4y2eQ9/jbwGP0/xUdYUbXL33SBYPwC4FQE3L1K+PC5Uq1k3unTqMOVRygEUhPtLvUDXb7rTk4VdqViFqhSlilWm/TatXkSdegwidaaUbesB4sSeDfRY4QIqbh6loLnS+FkJT/VSZ/C5IrBp1RIaNWo0P3T8+OOPbMYqg28XnnWzfdxbhcUmqYi37K9xrIRd9QmxZCm/Xwd1VErfA+Rr0wRlQX9OBmUBMkMJE6Rs5UEOa4rkJR9HBSw1iDwg+XKMm1qZ4o/pUky14Rwyjx87RhvWr+PywH3GSJhHt8Lk/UM1vrcII/0GrgHn2MLi4IGDLEPKMbOBbMmz5BX4+AfS7AmjaWl9Fwpba/0WQTnTw6YFhJdrwAgfNt8FcONrjwil6GvHKTbA+rYowqc1DcPdS46fjtQrLCq0dERYW9CyZUt+6gCyezWQ451Erg2vJaODvnz5MucrLs4aDYh1P0mnPnShkS+60NlPXci9sQvdUAqYR4/76UZLF7reSBnlhoX6Hj2KZOt0oJRevMqr59fFyHvI/+xuWVGy9vsWE0WeA8sqxe9RiosMs9xywL3M6aCIrLpl1bkuTWsrhaYQvf1GFXIt+DAN6t+X6+A7H7zPxx+nWU/p+o86w3LiKdq2GLxjY2sdUonnq1C48sMPqXyHEfVQ0hvRvwuVf/55qlTpBapQoQKbShUr0PPKbcPhsxwGYbFmDYnsW7uA5e45a60LAh0+rk73l36Z35BEHrKjnmcUyXtmK2FyFPl4sw4f/AaQrYdJDQgnYUUm1ps1aNCAR7L0tJKTiTDwx1vd48ePZztGwBBjw5ZtdPyk9Qm22NBAVsJ8RrzF5/AXqSgZxMNeY9InZsW9hlwYINeGXOzeuZ3mLl5OV9ZOIb8vXChg6feqXivFMB1LPyQNkY/pYmy6C3BNaC8g8twu7ssD5tpeLkN6uaB+G7KHHK+EAT2+VHr8gHzzzTfc+WEXYiCdxJ1E8ij5BI0bNeaPfAPrSVD5RwTT6SW/qx/LgnR++e8UcXAJ+UxoSO5fuVDQom94MXzonvkUunsehR9dw0+RILOvT/IK8AQb7X6Gom6eo2iP87xVhkevouQ1sBxF3ThlucFPhYm7ZX26Iz35kTiStvywoCPEKJhn3xKshOl+MHocgwaXh1XfUDbnDm4lV9Uu0DZqt+im6lwUVSjxAJ8XLvo0eQVHqHBKibL9ECR8sDuhzi6bNoHDP1nmaT42bNuH3fHDkt5RKh4NUcdQX3fOX8ch1ufLogI96H5XF2rVbySf/0s5zKFIWWWmEgb0ui5pYCNTWagvbQKktZwQFzIxmoWPfb/77rt295TyzXVEpYftKWbMmGHPX2xIAEX5uNHCyePp+tmjFON5nty73Efew16j2EBPm/HgkaCYsGCOh+k6/fN1mQVkS5ngKNfkfyucFq5YQ9v2WA/tcZf30pXPVV+72votSiuShtwfvDyGPc+AlKUodFhegheuAuf1Y39d0TMYcoUS5gjkSOPCGjF0gFOmTGE36Sj0NLMbPW3JkzRM2DmPyt8r4Bb996EidMPLl8MHrhiV7WvCOF+2KaiA+f3J7TMXXlTr3koZpRDe7Hof3exSgO3spvwQJniV1YGmZxsN/NjzEfeJy0WVB44xkeQ56Dny+LqYUsJCE/nZyxT/7sA9zemgSFixsm0B8XmNytwuVu2yFmFPHm09sHQfPoHPMSrF5a8ZaY97Ny7nsEXLvkwe3j7U+8uP+bzrkB95o1dpY+oPh3eU42g4jO2+SRpjB3ZhmR26dqPXn3+S8hR8iM7d8LGFyZgSk13ItWS2Egbs5aaO0m9A8XFcRyXh0oLkGwv1seC/f//+9nuTnDzxx0MvFA7Om3IPmNOb+4ar7VzoRkcX8ul5P/cbHug7OruSB4yy3/jShW5tmcKy9uzeZVdaJD8ZAXnR867L3Ld/P00Z2pUurZ1G8Zd2UeTpraqvHUk3vnAh/7/b8HnE8fUUcXIjm/gURuHFXY7YdBZvs+Kc+1PcG9ht5YWRMEsJ62uFsY2EwS4y5Gi498h1SpguS56g8JFdfLcRbpApnQXAUezZiZ6+I3zdyh2fiSlUqBBdOn+Wn44CFn2b7W9HQh7kA4y6+f7yIflN+oL8/2xJfn80IY/u95NHr0fIb2Izy+2vLzlM+GFrrx+JmxHkinCUkTAZys/cq72LwX1Uxqr7SjFYNptq1WvEa7/gHuhxmapVe5NOXPO2hUusKFgKr/rBCA2ids0+pRq16tC+U5fZL/KWH7Vv3lDFr0l7TpxHaKdtLCkjYfio0kHa8bFRNHb4IHq6TBmq9k4d2nbI2vmd5SKcLXxOhtuxIquUMDHyg42pw1mzZllTgDY/CZtaJKzkHRuvYv8wfK4JiLsuX5B7jrcbv/32W7bHKRO89lfyGvoK+Y2rQ16j3qFT3UurfqMw9xs+Y2rZzHvk/d1LFHpoBcc7euQwpwl7RssLMmDELvLwdvoC9duwccN68u7zOHkpReiaesi93kQ9TCqFEEs/8FCJc/S7blj+oUz0TasspA/S0dNBeWCaGN8alXT1a7ltGzGOOr+HrjfTRsJwP9lmMOTikTA5JidDGgTCSZzsQk9TOq9r167xp4oAztGp4rMx589Z62YClw6z7RNmbQ2QGQpORsAbkbImLDOR6wrbv4i8R9Yg318/UYrdR+T7UwPy6PkwK34+P9Wz3JQfwoTsnMlxdIXU4AzHuq7ObTZBvPVwYnf8QXQ857oMSzrugaSR1P2zp5V20XcE6XuyQgnTQXlJH3L16lUeQcK5uEmY1KCHl3xi13prmYQ14paUTDnHaJysxdWnpmGDxBsXTpFbp7zkM+JNdtONyMfu+dibC8AtvUCW5EuXgw+Xz5o5035PoCgGLPyGgpZ+x/sx+qsHTShgUA5xHrRkqPIbxiZOPXQAKEs6kg6OkhamiVFuYnCR6Dexx2J8NLYeiqXIM9u5X8eaMJzDHWt8ESYzX3Ay5E5ypRIGIEsM5IgsbEyJYXvZaVrcJeydAHlA2lg3gM5aFtkij9gcMDoygs95x/wGLhRxNPt2zNfLBR2C9QZkLB/jwoOz5O1Iua7g1eP4CfRmB2Xa2QymMGDa286VH8IEqk4SWHlL3DkaLPhe6vZE9xbHxOeOd073s/+o4FwdUYft507ipo7E6Uu7gNyc0E7TiuQ5K5UwZ+WFBeD4vJHuJiY16OGc5VWXpYeFXa65e/fudPbMWfu9g5+1v6A6hvjR9U75yH9MTQ4bz/0KRvOsET2ANWH4IDjO9TRSix4PR8kXNrbF1CDKR9zkqBN5Zge5NcSasJ9tLsnjLC2MIiZcuzW6BbvvhIbk0ecJ8hpcgY1nv9K8pMOjd1HLbdBzyjxPnv3LUPSNUyxL9mY03HvkWiUM6HLRCGDwtf7y5ctT9erVefEpcNbRZCfIn1wrXs1G/oDkSxbdhx1YSn6/fUHR10/weXaMhCFvejlaZWnrWCJukefXJXgkjJ/c2M/qSGEkTlqROPFhgRTjc0WZaxTje42iPS+S54BnyOPrxyn65jl2Yz8VJj40kOPoaRv+jX5f7HbtXPfX0d11Izi66X5pQ+Q4lyn23IC06ewYCZMj0oSRb0yKm/intvwkrB4f+f/+++/ZDjd7/2STKWFxxEakCd9DVA9VkGXrN2KDvcn360fpeOcSrBQBPLzJaNuM6TOc7iSfWhBe4kjeAZTTmTNn8mghQBj7NSAdZWSJR/iRNbz+NnD5iETubGyynR0lPXyaDjvsSxo4Sjjfn+rzG+2efZ/kfRY9VX/GSljPB63zvk/wEW+B2/t6o4Tds+RqJcwRaXBQvmrUqMGvyKNjgbs0lDsF0sf1YqQOZTB8+HCbT85DnsrilBLm0eNh9dRWLku3yJC7gqNZE2bILUj/ldVKGND7UKSLdWHYDgEKh7iJf1r7OcRFnrFLf758+ezfg4S7oyw9LXw7EqP7cLMULCt8bLAPefYoRJf6PsdvUqLPkzigQ4cOPAOAsGkpK4SHEbvIxLKOxYsW8y7+sk5Yz3uieLY4+KwS1oIFrRzN5+LuiMQDkt65c+f4G5M4l/xzGmxR/6PC6XZEKMWHB9PtyDBeXsLTkbN78DncsRE2wki6ejqGe4u7RgmTNEQmGsfHH3/M37MDcIfhxmIz2YVj3jZs2MAbWyKPo0aNsn+sl6f6bHkE2ZlHHZlqxCaDXt++SD6ja6p8Zd6O+fr1JUxxKkU5Wns7Eh0U3NgPZaJ1dneoXAwGHWnP2aGEAan3kA87HjZnz57NSgjcJN30tA+5lpMnT/K1JPXRaRi4IS0oYM2aNWM/AHc2wb7k3v1BCv61Po9ObdhofQsX+RwxYgTPVoC05FfSBpJXgDxg9At7jgGE0eU6ypalEOGHV9O1j1x4HS5wtvRD4sNImniZAGWemn0pxTnqwl7bwvz+fM4y2WYw3GVKmKQjjRBgEam4A6Sp5ye7cczLfffdR2vXWGvA8BQH/zuZP6CnHx+pnuhse3aJW2Zjlx0bzd+b8+z3pH3H/KxIz2DIDKT/yi4lDKA9wEgamO6DUoDzjPRtCC+jSBjlcXV1tY9WyXXqMvX0x4wZQ1u3buVz4XaQihsWwHbsrg8lCQoY1usCyWtK+dTD4Ch5gSKHkUBshq2v/9XDOkNGniLP7ybPAZXp1rZpfO44EqanK2niYRlvp4oChjLQ05MUrbh4gER/Hm/foiJgLraogHuMiou8Jo5vuDe5q6YjrcrvvFKj4chagdQ01sxGzxvSl2vHlOk///zDfnq+7iWkQ8e6DKyTwN5CsmO++BkMOQ1pw9mthMlR0sFb19imB6Snb3MmE28XYhoR5yLT0cj1Y4F6nz59+G1HKEV+/v4UHh1L7l7e5OnpycoXvjWJfAKJByAnKSQdoMfBvlwY/bpwwfo4PJB863HSi7N0L126lGh7ED29pBDFjjdrbaGNhCn3jObRcPdwVylhAGno6SENHNEBFChQgDd3BeIO5JjVSDpy3f6qs8K3JbHvDhq1PIlmV36SQi8X3YhbZmOXrZ4Ow4+upfDDq1RHlTPKwmBICmnH2TkdqbdDvf88evQorVu3ju3St+nhU0KX6yz/upsuU3eHojJ48GBedD916hRq364t7d+/n0fC3N3deeQKU5J6Gs7yBzdxx1GuMzQ0lN+qxAsBUVFR7CbXCvR4SeIQ1jG87ibp4uEdSh+UUpBc3nVkXWvk2Z10/XNrTRjACJmzMjbcm9x1SpgjSFMaKt4oypMnD39YGOgNODtBA0S6eEUb+4ThdW9wp/JjMBjSjvRfWa2EoU+QfgFHvd/EujCkBzfkAwoPkDB63JTQ05ClEVCeMLoF9P4JR7FL+jrOygAL2jHqj9EkR1mCo1zhxIkTrAjJprJA/PU4KSHhJE5S53I9eHjHFCr6aqCnmRISJj4imCIv7OU3vYGejsFw1ythAOlKWhjKxnoHXRFLT2POCI75QQeOBaYgu8okJyFlzuWvrl8frs+O+2EwpAdpq1mphHGbsLUByBU71kRhxGnHjh3sjrxAIcOC+rNnEz6aDtLThhAX8aR/wgOsuAPJl24kH3p/Km4SD2WFjV7FHWGAyBC7hMenlTD6BeVNRqKSipcRdDmSNu4n3gB13OooM9IzGIR7YiRMjjLdhwWW2DAVbtKg9QYmcbISSRtg77CSJUvyujXkQ/JiMBhyLtJ+s0IJ0/shva+A7N27d/P6JOxVJW7ijyUOmPbDWiwg7mnt0/Q0MQKlX5+46+h5dTTiLvGw4z9kwQ1518PpZXfq1CkehcIImiD+epyMosuSPOJj6RlVwCQsy1dyZZNpPT2D4Z4ZCRP0NB0bQnJ+WYE0bKxvwHoOpC+dEsiOPGQlyL/9WvA2EDqiu+TaDAbpLzJTCUvUZtRR75OgjOBNSCyAF3c9LXFDPqCIYRQJMtKjQACElwfXTp06UdGiRfltc8hLyzVKuhIP+YRiJ1OpMPq1wn3F8hU80ifTgPATOTiKPaPosiR9TMFCAUP5AblWPax+dGY3GFLLPaGEAWkgMEhXOhdMA77++uv2J0d9cTxMViB5AOPGjbMP9Utj18mqPBgMhowhbTizlDDpc2B0Gd7e3qxUQSnBwnagh5E4QPKEUTJMTcIdbuIvx5SQcEgDBg+KU6ZMsStOIlNMSkg4yTO+V4mtMIDkGSDfGP3CG5eCs+vMDHR5kgdsWIuXt/ASAEgqbbHL8gm2O4QxGFLDPaOEOSIdCdZWtGzZkvMliz6zOl96J/baa6/Rt99+y+cw8vQqBsgxt6FfA/bKCd27kD+FBGTzVYMhtyL9REaVML2dIK7ExxoovDk9b948+/YOQPoORwNwlHzt3bvXvn+XxAFyTImUwks+4Z8WmRIPipZ8vgj9Huz4HJJMATrmObVppAZdnpQX9kWDAiabyYp7ZqdtMOjcs0oY0DvLb775ht+c3L59O+czPZ1WatHlf/LJJ/y9Ntjx1tBLL71ECxYs4HASJrPTzy74B8V2j33G1eXPhER7WOs7xN1gyK1I/5VeJUxv2zjq/eHRI0d53Re+Dyk49kliF5zJwqd8sH0FcIyfEgijh5c3JrFBq+y5qCtiKaHLQl5gDh48yNeJxfd4A1LQ5aZGdlrQZUo5iQIWHBzM5+KeVPqyvit45RgK3T2X7frmqwZDarlnlTDJExq75OP333+3v46NDgfuet4zC6Qp057169envn37sh1MmjSJ8ufPz8PhSPNOllFGQf6ls/L7oym5t3OhGC/rE03mg7WG3I60zbQqYdwuNKO3ccjAyBdGwPRtEVKrlIifyEU8KDjyWR9JKzkZOo7yAPpIvGGOtVMgJZlwdyYHD53Y86tp06Z2pU4UPaDHyyx0mZIPHx8fVsBkqle/nqTSl4dI7ITvNfwNtmMX/JTuvcHgyD2thOn50vMi7gCNSg+n+6UXPb1evXrxZz+AfH6jSpUq/M1LCZcZaWYHkk8c5buPMLD7/taI3NtgJOy8zU91tly2qftxMRhyGtKGU6uESR2Xeq73LVAAsIZryeIlPCojiCzHuMmhy4fBYvqFCxfa5Uq+UyNLB+Elbtu2benpp5+2908pXTPQw1w4f4EXv2MJCPKHNybx4Cl5BmnNX0roeZHrwNo0KGAY3QN62SSXvjxc3uzkSj4/1WO7GQkzpId7ejoSSGODQX5khAofnsVHtoFjxwCTEXQZSFPKAUe4o2MqUqSIvVPPCeWUHnCFUlIYCbvR2oVifG0bFvJfgyH3Iu0yNUqY3uZx1Nv8rl27+K1HfSsG6QuAHje1SHhJB6NWS5cutU+3pVfRQTzIhHnhhReoQYMG/PCo5xfoecZR8oHRrzVr1qi8LLMvfgf4BJGsD9Nl6TIzgp4fyQu284ACFhBgfeNS3PWwQD/nB0cVznqIjKObHVzI+8fabOed8JF3zn/WKJKGu497XgkDev6QJ3Q02EcMnzlq3749+wFnnWt60dMUOxA7OgjkRfIDHMPmNCRv+Pg2doeO8XXjY6z/DfL9uQG5t3WhyLM7+Jz9lYkL9uE4Of3aDAZHpP9KTgnT6zWOep+HTVWhfEEJE3fE1cOLPT1IXJGNNVeYSpRvQurppAZHebjebt26sTz4Oeun9LLA/ox48xEbwAqQJfKw2z/2QANwEzkiK73oMiQtKF5QwNDPAnFPa3ru7V3IZ5w1EmYwpIdcr4QlNJjEDTbBPe1Ivm7evMmbqNatW5eHrdGh6J1XekkpvjP/jKaZHeBJEIQfWUPXm7vQzY4u3EndhOmSjzy6/YefHOHmro7XW7iQ34TPOA5PXWodtsGQ05F+IiklDG1WjF63MS2I6TdMP8rIlB5G4mQUXY6M8OPFIyg6yLvel6UmPV1eUuF1fykfjJStW7uOt9nQF747C4sycXxLXQ/naHANch260ZFzkYepXyhgvj7WA6CejmNcoLvHeFzgN73xGaKoS/u5j/P+vipFXdyn3PZQ5MW97J/wcGn6NEPy5FolTBoGTFw8GjGGyW1Hda77w6QWCSt5w+vKb775Jg+hA33Bflpl64h8dAYy7anLFTvebMJUAux6Z5NWJA5vmprJnb0g++VEqs7JZ1RN8v31Ix4B8/3lQ/LsW4pudnYlnzG11Lnl5jO6JgUv+57jcL4yMS8GQ1YjbdhRCZO2C0RJAFhojz0B58+fbw8L9HYvJrPQZUp+Me0n+3DpeU1NuiIL4LokPhQtZx/VvnLlCm/M6viWJ3CUBSPrw2T9mpSdhIURN0cg11E2DBB3UcCw9xpwlhdHOG+2cH6/NSS3j13oRktl1IMmP1h2suxslLvbRy4UusvaA00eTA2GpMiVSpjeWKBwOUNvVLo9JfSwjvnTZeh+qZWtI4vwe/bsSXXq1GE7FDw0eMgT+Vig/2a1N9kOt/SkdadATiW3fn80sdaEyUds+a/BkHuRNipKmOzl5diGAZQQbMUg34gFenvGMavatp6G5AlvYGJjUiD5BfpRjJwLupvIw7QqtteRETccN2zYQIsWLUr01qEeV7cDkYVyxH5h2DtMz5v4C9hPDGExcoa1ZoKeDpB4GIWDAubsBQU9vCPsr/IBQnfNpoBpHSlwbh9lvlYPlvnIs//TbA+c05sC5/Vl/6jLltJp3gI3pESuU8J0WaKAXfQKo1/WX6Vus87Q0KUXaec5a54f6OFTC8JKeOkEcAR41VueItHRpEc+kM5q+PDhvFcY0DsPsQcGBPLr4IsWLrK7pweRG33zHK/JAnBLa76TxSbLkosn2zhroaqy29+O9Lxg+WFhqzompJ+J+TAYsgFpi/pIGOqztG2ArRdkywn5ADX6EulPnLVBOdf9nIVLCxJX0kYesT5L/zQPwuCaYHCu2yV9MQBHkQdF65lnnuE1tFByMPqFPcAEKSs9vo64S7j9+/dzuep5AbBjDV3z5s1pxYoVrFR1796dp1j79+/Pn3QSJH8AI2wI6+ybms7yk1rMmjBDRsm1I2Fxtsb11/YbVKrTZirefC2VbLeRSnyxjk2baacoPAoNGA0x7Y1Mb5w4isKFJz50uM52ok4L0lEPGzaMpzuBdDgiT8oHnTjSxEdl4ZeecpPhdIxG+f36Edsze18byTeOMJBtKWG3ye/3xpoSpvxs7jB6HIMhtyDtEH0B2qfsdQWglGDaD+ugsA+VIO3Nsb7LuRj70gqbibeFFf/0IHGlj8GidPRnGEWSvic5JL4YQfoyrKHFAyNG71Ma/UoK+Eu5/vPPP/zyguRr8+bN1Lp1a/6wt/sNa4mGgDhQzqBoodwx6iVy8BYm3JE/IO6pyQ/Qw/GyCRU/PjaGj/a3I+EWF2M9XCq7rAVLjXzDvU2uHAlDpwTWHvehEl+up+cH7qIF+z15RGzHuQD67PdjVLzpGuo29yyHg8KW0cZgpWvld+rUqdzpLpifeGf7tCCy5s6dy28YAZGjGwmHjg1PhkDc0pKmDKffaOtCvuM/ZXvikajMR5Qw4Dvhc7rRylLCgLgbDLkRaZs4ihKGESDUeSx+x3cRZYE5kLAAR73d6eeibDlDRv4RRI+fWiQOjqKI4Y1FrMESoMis/mc1X8OAAQP4HNcho3j6dYgMgGlBKE3oG5s0acLhYESBknDJIWFwRFwAJRGjdVgX++eff9KlS5fYXUCRyAO5gD61VatWbMeUJRQwZxvLpiZPQA8rdkvRus0L833G1rXcoKDZygRGwhsMyZHrlLB4TGUpOVDE3hx1kJ7stJlOuYfYfC2ild/7Yw/xyNh5T2svGlHc0oOef8kz3uLBUx+G3MVdDyf2tKLLkKMuC+lIWo5+gu4udhl5cldKmJ9SwtjNNhImYSR8ZsFybR2k/19f8sL8GG+rEzVrJQy5Eb2tYAQI7UemIzHlCIUGiosoH7qiosfVERcZsY9VfRUeML9deokGLr5AC/d50K1wa7TJUeFIK5IHGOlLsB3PyJEjeQoQU3rr1q3jabsdO3bw8ovx48ezUiMjSQDx5IjrxssGeINcgHxcu+P1p4TkDfEgG4v9u3TpwrvqC3DncLHRdDsy3K4QwV1G5aCsIU/YpFZ/YUJITV6SQx4i3b9yIe9RNdludsw3pIdcp4TJ0+DNgAiehmw06Tifx6iOC4pWVIwlEyNjxZutoTl7bnK66Ngygn4Nku9LV65S8K1Qe55AaqcNdHnScB3DO4bRG7hud4znjNu2PN5oYylhQOVQxWVrloB8Sd7iw4P4te3btreFUpPn5JD4koZ+bjBkNo51DH2AtEG88VioUCH+5qussUIYvV1LXEfET5Qrd9Wv1R57kEq0WMuj/CVared+rPI3u2nfFdv2DipscjKTQ48j/RjWUZUpU4b36UoK7KsFhQZKmnxO6fr16zR71mz+ULggMvV0UA5ynto8I5zImjx5MiuCcIuJVoqXcoc9aNUY9WD3KG8NgXNxl5eeOnfuTFOmTGE73DiMzWQUebj0GvI/8p/Sju1ZPbNguDvJnUqY+n/VJ5xKtt9E7aZbi+ShhKGxxyiZCLPmmA+VaL6Wpm631lHFpiMtHciQ64B8aYRCbHSk/Xr0jkjipBY9vMSHgUwc8cYRhvyBuMHoiBtcecQJ4WJVx6SOPB356ydsxxoGVopYTsIPhsFgSEBvY+hjRLnCVBdGvb777jvKmzevfdG3rB/VTXLIutWI6DiqMUYpYC3XUdfZZ2n/5SA6ei2YRvxzmfu6Z7/eTjf8I1heekfEJD/SR2G9KT7yjREnvJGIaUX4icG1Slgcf/75Zzp+7Dh/UQTTfr6+vuwnipYuG/0UFs0DKRMgx+SADITD5rJLFi/mHfW3bNnCfrHRURBCAfMH0PXPXSjitLU+V7aDkHuEdWGII9ch+csMlCTriHzaRvUhOiPy9fyxQmfLs3WefrmGnE3um460VUx0WM8N2kXPDdhJIRH6UL2VVoeZp3mB/p6L8k2w9HVaQG8AMuoVFRtH28/40vRtbrT2dDB16jmAateqQWHh1lOiXFtSjUf8sdj0yy+/5HBiHIGbhEeHiakPTBPo7no8lmPrGPDKtGf/MuQ97FXyHvoS3exSgDx6PcJ276GV2d2zf2nVkVkdHDqVzILzYcuXZc+8TsUuR+X3dkyU1hFmTK7BIFh1NqG+6v0VliHg24dYOA5FTBbmI1xafvARRkbpFx+wRu97z0/4fJEwdccNfvlo8FLrA/iIkxr5zsB1IC7y27BhQx69wzneIMQ2GjiKIiNpyDkYMmQI/fD9D2wHeh8EI/JPnjzJ5eL40JgSIgNAwcUIHZQ4KIlQxlQAnnEIXPQN3WjmQpFntnMc643rhDyAH374gadVQWrTTxVOxWSSbMM9Ra5emP/z+qtUvOlqavHXCXLzi1CdxG1eOzF+oxsP478z9iBFK2WJnzQz2viQrq0T2nMpkF4fvo+fWNFplmi5gUq0Xkmu9z9Hb77yIvn62T6FYQvvDFm7gH10ihUrxtcFIx2dI9Z1W+WFj+dWfaMq2+HmGIc7T6WU4Ir9p7Tl3ek9vn6cPHo/Sje73kce3QuzHcoY3OEffnStFTcd9+ROIMpi6O456ppKUfjhVXyemUqk4d5E2qIYvZ/C5qPz5s7lhydZrC4L852tPUoJS76l7HSadYZKttlAFzxDub9C3wVlCw9+keqh85m+O6jqyAPsh/BJ9RXJIdcEg1EmbEYNJM/evn40Y+YslYblxmGVu6QHN6y3GjFiBIe3h7EZQeShnFA2UFThL+GTQ2ThrU1ZX4f1ViHBwTRvzmwKCvBDR0UB8wfSjabWSBj6u3isEUO/pwzSQTy8LIBvZkramYVcg+TV0Z4e9Phxt3wpNtDT3p9lRK4hZ5PrlDAApYo7ppg4avn3SVaEnuy2lTuosgN28vkLg3ZxZwZkDUV6QVzpKE+7h9BTKi1MD/RZeJ6WHvKm3zdeoxeHHaQnu++gfE+8RSWLPUbuN2+qzsDqtPTrF+TasRN/+fLl2Q6c5VPcpBPEMDteCvjrr7/YXU8DwM5G2eMjwyg+LIjiQgMpPuIWL8zHLvawx4UFKhPE/jxdaYubG5Cph1sbfuMdrEN3z+VzcTcY0oO0HaArOdhyAftSLVu2zL4AHe0OYZxt1ppauE2rvgxptppyikp13MzrXeGGPkf8Ya8wZA9V/m6vckP+0q6EIQ3pd7CvFh7mAB4I5cEW+Hq40ZpVy9ju2LdI/AMHDtj3ARM3IOUHIw+aGI2qWrUqh4ORfOtydcQfyp7kEWUAfAJDaMHS5YStWW8t/56uN3bhL3Q4Ig/dAQGBtGe3tdYNcpNKMyfA+bNdu8/Y2uTR42GKC0785QDD3UeuHAkD8jSIzmPGTnf6YOwhKqcUsCrD9/GGrZ5BtleqbR1WRpoeptFkqrPxn8d5weyyw9ZnLwSPwAiqPHQ/le65g4aM+Z0CA5XSw/mzOh69DIB0UFDCUCbSQSTV2OBnXa9VZngjCU+Z4ib+MM4QV2thvvW9Rrg5D52zkGvSr5GnIdUxZNOf3BGH7VmQyF2MxDMYksOxvkg7RDtNassJacOOI2Fp+cFEWjIdOXbtVX6AnLfP2skefY4oR8fcgnmUrNlfJ/gc7ump19JXQInCLv7oozDKBNx8w2nVES9addyfZq3YTls2bWR3e/9is+P6sJi/XTtrQbr4C2LHUcoCSizOEdYuz2YcQRy4Y+rxj99/Y3u0zzXynfQFBc/oSAf6VCHvSa3Je9grvFmq70/1yH9yG/Kb3Jr8/mxJQYuGcBrg1MmT1LJlS7Y75jOngbyJ8ug98m262cmVYoMsJcyM8N+95MqRMF2e+st2gDcj5S1AYD0xWiEkTnoQOf4h0fRUj21Ua9whPkfniQX/GJED03be4P3J1p613pCSzhXoHQCOcu3Hjh2jNm3a2M+Tyqfu7szu6MbGbldP1Jx+vDUS9usnlhuG8DF8n4lrtbICPW+sZCkTj3Vg6nhr4x90vRFGwuYlcmeTg6/JkDPgOqXVE71PwpcxsEYKa5IkjCgIQJQwfcd8kBYlDMhI/TWlBGGUHQvwt5zxs/c7p27comoj9quHv3W09ayMwqVdCUN4ydukSZN4s1a4of/CVhjWptdrqESLdVSy7UZ6pfcy2nfS2lKGy0WFlTQxFYtF7zgXoyPnju6CXkaOYaSMsYfZ0CHfsD3iyhG6jm8zfqH6r47W8brqyzx6FCb31i7k/qUyrZRbExfyGvCMfVkFRi0xJQn0PjgnIHnBEQbXLdeO7+p6dCnAShj72fIOo8cxJE9SZSZ261y32/zYlj3kWiVMl4ndpeUcoIOSJwo9bHoR+XhSLNkBb2SeYvmyOJbXbSiDDhKd2PgNV+xpYkd8dHgA16t3PmlFvxbIciw/8ZcwOjLM7d7Ohfwm2EbCNOUrtxKyfRq5fe5C4QeX21wMhpTR2wmOelvCNxWxVhOj1FikDhBG2q7ElTgZUcISZFlxFh30opLtNtETX22gKkrxqj76IJXsuIlKfLGWvv/nModJ7/IK+YGHwYOft7e1k3/7maf54RHLOf7ceoNm7XanRn+eUIrYNqrw9Tq64WVb46quV+KDUSNH2XfGd5YfccNRygpvY+KtSiDygB5fys9H5a9//35sj4sMpyi3ExR1/SRFXjtG4W4nyf33lqx83do6ld2jrh1XYY7zhtAiGw+5UML0POQ0kDcYXLfcI+9RNcijc9JK2N2OXKdcs36eFpILbpflJFAak8kQuVIJEyAvNUZwdOe1FsrgidPRT8fqFG7zW5jP9NtBL323V+XdCoMtMWDAyNVX+A2m1ceszg1ysYYEHfSPP/7Ibo7ynZ0nh/hL2WFdxttvv82LWKURA0c58mR4o4V6khxrfTA8t2wuKApkfFggBczuSf7TOpH/9E4UMKMLPzFCsfQdW5vP/ad3Jv+pHShwfn+KjwrneFA2DQZBb3Pyowew5QTePsZ+X/hEmCA/6LoRd5DRkTAAmdaSB6L9V4Ko5V8nqGz/nVSmzw766JfD9M9Rq09BfyXpyzG1SHjk79fxE5SwKNpzKZjfIv94/BH+zJvON0svKGVwCzX5YSmFBgfw6IBeFh07duSRJjlPCvhJPGxmi7KCcgR0eQLscl8w7YnPDunSxR68bDi5NXKheDfro+h6GBmlHDt2LH/HEkhaOQXHrOBUnNCv3eySj+JCrJFPx1wjbk66lqwi49eYULdiY2IoIsr60Dvqgr3uqXPsfSfbWGV3ueZqJSwtcGHb8iGLPHVYGdPyKWEB7PKk2n/RBV63MXTZJYqJTcj/1nP+9FTXrfTcwJ0UHG5tDCjXd+TIEcqXLx916tSJh/HhLh21hNPTSw2ID4Mn9ccff5y+/fZbdk9KlrhFnt1B0TdOsh1uaU33TiAKZGzATZ56uN7MhW60tIy7TEm0SXDDlIRHZxd+GQHImhfDvY1e33HU+x+skcLUI3aPF/S2pMcVJH5GlTBdrt43YRue0MiEPKJ/0vOTVqTPAI2bNqNbfh703So3KtFyLe9JBrCkA29lQv6t8Gh6uu8uqtBvPf2zYjn/UCE+/HBEmUkZpZQf+Et54c3KggULsgIHOfp9AAgrStS4seP4c0V4kIqNUQ+aKqy8BRmwYCDdVA+VJ5ZO5Adh7HnII0YIY7tO3BtW4lKRx+wG+QThx9aR17BXeTG+z5j3yOfHD6y317veRz6javA5/LyGvUbBq63fTn25xd2Ifm1R6jczMjKK60Si+qaM1J9YVWd5hFiFhx+7sXus+p1WdUm59Wv1IT39Rr1E9Y3lxUVSuUcKUK/Rf/F5TAy2OkmQI+mxTIc8wGSUe0IJ0wtKOjm4XfYOoxNuweRtW8QP7OvI1MGeb2Vwg9EJ+odG8/oMKGKYLug65yx9+scx/kQS3phcd8LavNBS2hI6Eywy/fzzz+3D9zJyhb16qlWrxm88Auk8UoOU3+FDh/lH4MyZM5xnqSR3C/b7oDrfqKtHKerKYYq8dFDZj1DQgkG8ViR45Sg+Z/fLhyja7Th3yhzvLiqLux37vVZHyyTY04seH0e938F+e5gew/omtEmANijtMLm0RU5mjYRZxuqjdGUM/Q7OJR/J5Sk5EEf6hn9Wr6HQW4HUYfZ57rewCaykC39+IFWm8rA99MrII3T8xElau2Y1y8H1Yb2WvjA/uWuWvCKM9Id16tSh+vXrs13vr/SwsON7nHgpQtzY3Rbef+E35KMewv75dQAdOml9J1hPA1Of+BwT0NPIKcib3CG7ZvEaN4x83eykjjBKAWMj58oPYTDaDxAX13o3gvskG9XGhPjSc2WepHX7E/bOk+t2dv3Wg4rtxI5yU39PHdpDK9ZbG/sunzGRxk226hUU+nWrltGRc1f4nMM7yHBMSU87o/XqnhoJk+H+TWf8qMaoA7a1F+t5e4sO00+RZ6C8UZm4yCX/+gL93nPPUple2+mJNht5QWvdcYdo5wXbxrAqPuLYov3rOkUeOHfuHI+S+fjYphtSWSaWfKtTBe3bt6f333+f7c46HDnnDsw2MiQycjMh26bymrCwA9Yr9YbcTEJd5Hqp1c+MVNMEGQlC8BkeLBXQt5wA0rkirJikkLaXGUoY0NMUI6NfutHR3UVZS255hfQN+w4cpBWL59H4rd5UrPFqWn/SenjEJtQYCQPoDzG6/+5YayuKXbv38Jug4MTxEzzNB1nO+htHxB9lAzseOk+cOGGPL2WJcwkrbng7dfjw4WzHlBK+9AGwNOFqXReKv7yblq3ZQG5X5UfUYty4cTytDHnpvSdZiVwnthGK9XfnkX42gR7k/UNV3lg7yu0Yn7O/MliSAfRyuqvAdamDrIELvH6O21aTDt1oxKgxdPi09Yay1I3QIF+a/Md4GjlmHF24Zr1VrITQ9o2reMR16ZqNFIGRLXX/z548TldVfdixdRM9X+IBeqpiDdp7+DjFRITx9LiPjxfXtaDwKE47LiaStm7epNoBtrqKo+XzZ9EwVQ/3HUtQ+K17kLH7cNcrYUiTC9Q2nbjqqA+/+YMF9thjDNOL+FQI1nK9MmwveQdH2TozKWCRwVbu4ITAsBg67xFK7uopUtCfYCVtgBsmnQ3csO4EX/bHyNgDDzzAnzyBe2o7C10uDKYl9V30xV+OuRn9WmQzRpmSSPR2pObO5i4qg7uVhHtktQ8egXEgM+6fyMBoF5SmuXPmWruv23BsM6lJE3FAZilhaUHPoyhfjjjriyRvNz08qUv7NnTeO0o9SG6gKsP28duZAta/fjXlFI/4z9ytfvxt8bDBK6ZsZ8+ezWvoQGqvV/IrR6DbRY7kFQZljGnQfv360alTp9gfwD3s3C4KWv0bRfu4UbTq32fOnME/3viUUuvWrcnb29pGSJebk0HuJIc+o98hj875KC40gM9zds4zGdt9B/Mn/kh58rhSu+696LN6NclF2ZdtPqj693jydb9CFZ96jJ579W1qUKsa5XvgUboRGE7bFk/l9vjmm9XINY8LDfrJWhP4f8re/ZsfqE3jBuz/3Euv0Pc/TyO30/v5fINqx3nVcc76fapNqbR/+0GlV5B8QyKofaN69GDx0tSs8efkmrcgbdh7yl4/M1qt7omRMHkyDAyLpnJY7Np9m/1zRgDbWoz654rqcNZSz3nWsCeUNr3Rwi7nzjo9+ImbHlY/ojPANeP41Vdf0UMPPcSaN45QoEBaysQxDR3dzZl/bkfWU4RsnkTXm7pQ2N6FfC7uhvSD+iJ1BnUVxq4kwa6FgZvd3eYGg3Pxc/THGj27H9yVEWSqac2s36hE2coUHCnxrfwgLM4tWQlpiGzLcFA7SBsGoy/z58+nffv2cTggcYHETy2IC+6MEmYddaX1VngMb1B93S/xQ6Hj9Un+Tp85R/v27KQ/dvlSscb/UOne23nX/r4Lz9OLQ/fwG5ON/jxu/+qITPP16tWLWrRowXa4pbbc9HDIg5Q99jvEqBiQMpVwOEp+MfLWu3dv+9INR6B0YSE+FES8AKCnIfJyEvo1ol7zejfkV9n57UhsUYFd821+OMpLRjn1mjKMuia+Z8p68eRhKvvoA/TQUy/aldAOn9Sih8pZX4vp3aIuFXi8LMliosf+40qj/l5KP/XtQI+Xf53dgr3daP/BkxQR6KGUORdae+gS3Q6+SXlUe912/CqH2bhwMuXJV4QiYuKoxnPFqfvIyco1jh7Jn4fGzvqH9q+Zx+1744HTFBkRTh+9XZFe/fBLjhsXl/BN1PRyT4yEyX5dGAWDojVmrTVsHa3St95stCr0q8P3UZk+2/nTR8CxM0UY3YgyltzwvyPwk+seNGgQ39xXX3mFOxCk55hmSkha0uGgU8R6DaDnR8LdLdh3zF/7C12t40KhO2bwudkxPxNJos5wXVLGcdRK6m5S7RrxZETakdiQAP44tNctS4E4c2g3DRs5lqyJJ8hOXIflx0hH/B3rupxjFEw+NQQ3yS/sjnFSg1xndithVl6tfgegvxq8+AI987VteUTHzVRr1EHaeNq2p5jKj3590leEh0fQxx9/TCeOHqLVZ8Ko0sAd9ETr9bw9xtNK1nfLLlFElKVAR8dYdwJrWFeuXEnr1q3j9VpAL8fUgrCi1OGlIizUh3IleQMiT9xgsH5vw4YNPNW0besWcldljo2rsR52zOjR9Nlnn/HXAADCi4y05O1OgTxKPn3G1CKPboXtO+ZDAbsnUNcfr/oIPKhhc+Q+7ZrSs1Xe5d9pLL5fO30c5SlUlALDQqlYfhcaPAHruvA7TPTmi6Wpbe/RdOX0IXJV7bFq3U/puo/1Wa5zBzZxG70cEElHNy0mlzx56Zp/KNeRP0f0pQLFKnC4Pi3r0bvNu9LqeX+Ri1LM8MJwt+Z1KX/hIlT97TfpZfVb/eILFalht/58r1hxzuC9ueuVMBQQvzmj0v5983Uq0XwtbT3jr9LGRqtW54QjflDazzjNi1TxHUq4yzYUmYVeDnLtWLfwxhtv2BfqO3YcYk8JxEVYrHXJnz8/bdyYsNs1SK2c3IJ0Srw4f/lYinY/w+f3TGeVhUi9Q5Vxu3aVfANvUXR4EP/YefhbL5bIusnDe3fSHPXDeM3TWlOETgmEBPrxB5wvqAeCUydP0MXL1+xPs+7XLtLSJYto0ZJldPj4afLx9qJ5k3/iTnLR2u0UHhVNQf6+SrmIoABfL7p41Y3jYsQ6IiRIyT3FC2XjI8Np9fKltHDZKgqPsfKTVIeo139pY7pJD9K27sRIGBQwGEwbfvDTIR61wieNusw+S00mnWBF7InWG2jRAU8OLyP7YiSPWAaBbyseUvcR3d0V3yg6fSOEgsKslxRUYOuouH79Oq87xUMeHhqXLFnC357U5aWlLBFHyrB27dpUs2ZNtsPNUZ4uF8obpkVXrVrFa9TwkW+8qSlKIbYZwRofxJF7DdKStzsBrlmu22toZXL/yoVHwoC0q3sB3CfZLuKrBm9SjYYd7PXkh+5fUqGnX6OwIB8qkMeFpq3fZ/nFR9GTDxagniOtT/kd26Pq/8MFqdjTL1NwVCxtXzpFKV75KUr5zfhxIBUuVYkibb/vvVvUp4o1sYH5bVo5fTzd92BRerBQARr8Cx7sb1O9KmWpQZfBFBUZwcuHZEuqzKpX99RI2ML9nrzGYfJ2aw8g7BSNApWn85o/HuQd8QNCE96SykyQF70sRL7jhoeO4cSeHAgj5QnFDlOcMerpFe6ZfR2Guxv8uPMGxUrVqVvtBXqp2jtU+/2a9IDqmEpUqEJetzCadJv6d/mK8hUoTFVeqUwFHipO+09f5fq2ZdVC+m+hglS06GOsnPz3sWLU9buf6HZcNA3u1pq/e/p8xRcor+pE3/z4C5o6cRw9eF9+KlC4MFWuXIVu+ARR83dfokbdvqVNS6eSa0H15Btt1eE2H9agV+t8QeG3AujN/5WlUmWfp6efeIxe/6ARhUZbP94yQiRI+8HRmT29SHu7EyNh0qeNXnOFFTAso9D3+TpwJYie7b2dXx7yCorkOKI4C5J/9D9Nmjaj+fPmkp+3h0og8WgyrguKDjY9hSImQNGBwiMPkHrZpoSEse5XPIWFhlKRIkXo66+/ZnfkDWEcTUq/GfBHv4c3I/Gyk8iX+DkZPY+R53ZS+JHVdDvaGhnO6XnPNNR1xt+2BkVu346jl576Lw382ZrlOLt/O7ezARNmq3BxVEj1H71//Jv9Vs/+g/027z2qlHPrCwm3rp9it11XfGjJ78OoQMmKLL/Dx2/R65+04TB4yaNB1QrUsNtgftBzO3OQMFX5n+LlyS/MWqA/oO3n9Gj5qiQ1z9/rJl24nHlt/Z5YE2YNxxPdDIzgz4L8b/Auuq4tpgdQ0LBpYbPJWJtgdVhZVfEhVwwUwKgoaw8UcOWKNVUKP7nBEjYlEF46r7Jly1K3bt1saSQ8Dd4tyPXwOgnMy2tlZcgYXKawxITRC8X+j/6vVFnaf/YyeZ23tkLZcdaDjm60Nt3ceNh6W6ne62XpvS97qXsRQ4/ly0Nt+o2hwAB/avL+G1T1E2v9xE/926s4rrR+z1E+b/p+Farfuo+yqY7xoxr0St0WqvPFaQw993hB+uaP+RTqcZ7TOe0ZQt4Xj7D96BUvGqI6xkLFK1CIUrwi/K7x9MPMtbtYrjxFZzXSf2W3EiZKBdZqVRq6h9e5YtoQ4KESyyzApG03+KFz9p6bfC6KG+JKO9HzipGkb4d+R+07dKQDBw9Sly5d6LcJE/jD5dOnT2flBuC65dqxtcfevfioeIKyA1LTDiWMyMLCe4xuwR1ukjecOxrJA8LIEe4SB3uDYd83CQc/IEdDzoXvpTrGhAfQkw/mp+derkof16vDbaxByy78sAX/8d/1Yrf69evxsdewXyk6PJCKFnClUs9UoGqvVKL7HnmK/MOjqfNnNeipKnX5/n/boQmHr1TpRfpp/EQq/UhB6j9uqvJTbSQiiO53daFvf1eKngJ6wM2Lx3m92ZPPv0xNGzWkB9XDwtLtB1mWXrfSyz0xEmYVltU4f9t8nd+ELD9gJ38wd/YeD+oy+wy/MVmm53Y672lt7CfD91mFdBZQwCpVqsRPlXB7/vnnedE+QPoSLqW8iL+U6f79+6lq1ar8BpMux2BICZ76UHUmxOsqKzfzNh9gd7eT+ylPnjx08rovDW7fiFzzFqAaNWpSlddfp6efKkH1OvalUN8b3MEdvGxtuTKufzt64vUPKDY6nN88GvX3YnaPj4ug54sWpL4/TeMO9aUnH6ROQ39mv8ggT/qP6ginroJSpZ54XV1p/oa99HXzOvRyHXyMOY4eV53iYyVK05tVX6dq1arSw0Xup5/nW5+nic2mdYHS1rJdCbO1db9bUfRk96300e+y+7zVZ+EIc/haMJX4cj19v+KSzT1xfyt9Bo5iB1BgsD4La3IC/K1PFgl6fyTyli9fzlvtAPjrcpNDT1cvMz2eM1l6PGd2kXXt2jWeMgXIq/hL+JyGnjd+u9uWZz7P4Xl2ZsQ/Tajw0v/4XjtD+VU/0LRNB/pu+A+0YduehDAsN57Wr1jMa6tXb9ohXuTv5U6Tf/+Vhnz3PZ296s7uB/fuoL1HT3N+8PWHKX+Mp2Hfj6IzF6/Qtq2b6MpNH44LmZs2rldtS5YkWXXJ0+0y/fLjCBoydBjtOWJt6Ix1qWm+PifcEyNhQC/QiVtu8DA9lDEYfBgX+4YdUp0W4GH7TCjc5JCOAiNgmDrcscOqRHhLslTJUrxgFouIEU7voJJDL2cdlLPIcPQzGBLB7QSdP9HFw1uVcpGHjl3x4jaxbfkMXlcRFhNPTWpWog/a9aEb193o0qWL5OHpRWERqr7GhFO9N1+iKrU/od9+tdZ5/TJ3DQVcPqri5qHDV715kXd8mB8VUB3sjHX7VAWNYPufi9dz2jfPWSNum45e5Hw0fr8aVXq1GuXLV4B2nr5Ocbc8+NXzySs3K8XnGl28dJn8AgIpine6TvgByGqk/7oTI2EAo1/P9t9BLw9XZYj7ptwxEoZlFmDFEW8eCftDPXiiTGQkTJCy0o2zvOM6rTqREA7gKGWABfP6Qn09XHLo4fR0sH0IpklhT23fJf44Sr7wMIr7A0S2IXlQRskZ3A8YuV8wzuoNwqYHvk/qeHrPevXQl5duhlnujKb4OIpPSilKSz70oGJ3dm2JAmaQe0IJ09OX9SK+6ily40lfWrzfUz21B6kOzHLnoxY+q9DzVLp0aV5gKm7ofCpWrEjvvft+okqux3GG7u4sDNySimswCHjtGmxdOo1cCzxMniHR3ClOHzeEChQtz349Gr9HZd/8mO1MXDR5evmqShZPP33Tmx4tXpLer1uf/pg2lxfRe507yIrKwm2HOPiBDYt5VO3wVT/yv3zEGmFzt9ZGHtq0hFxd89MFz2Cur1PGDeW4dVt2Zf/48EAqopS2YZMW8Tm4FeBPIeHZu35G+q87sSZMHig7zTpNJVqso+m7rCd+AdvxvD0SG1JvpDM3rY+QSxxHpF9wNNLnOBqJAxAGBiP62ELCce8wPU5S6DKlTJs2bWpfqI8HVV1ecuiyEAfr1bCI//Tp0+wO+fBLSc7diF42zozcS/nNgZFyTw2QgYED7FkJu7ilCRVeluYs+uMH1a7yU0Ck9dY/3o6UvIpBHuGn31e5BnZXduRArofDaP4SFkflxenzOZ8klJW1rQ7yYD5blG70PIjC5Yi4429mFG5y6JW7cOHCvO4CoDMDqMjYQwz5sCqIVTn063CG7o94MFgbgY1hJc2k4hoMqnJwRwN+6teWXB9+mqJt1aXDR29RiZff4/pzbv8WnqqsXvdzGtS/L5V+ohgt332cgq6fZoXk52kLKSI2oZ7Fx0bRZ7VeJZe8hajNV23owfyuHM4j/DZ5nj3A9jffrUPtOveiUUN6k4vr/XTL9sbjQaWUwX/vmWvcgYJJI/uzW6eefalLm5ZUqnxlcg+0phD0tpWVSP91R5QwlQZ+KK76hNOzfbA1xQbqNucsLT3kRX9tu0GvDN/HC/a/WWptV8M/Rip8ZgFZYnC9OOKNSYyIYe0Y3NLa3yAc/wCqeHjLG5tYp/RNXGdIOEkfsvAGqGzeKvcttfJyA7iWpIzcC1y3GJzDL7VAmcUUNUY7MVuDfd2w3x4GD6DkYtsSTEujnLFOUOSnJQ1GhZf7s3nlAhr47Rh+iNNHwO427hklDEilgEEHhidDNkr50v1gshpJA8cff/zR/qQmDUZwzAvKTI+bFPCTxla9enWe3hT35OIZ7nG43lj1b8/m9bRw2Vp2A2uWL6E1m3bb68/JQ3uoS/vW1LxlK5q/fDXFKOfbUSFUv0pFVkqw03XdJq3I3TeYH2zCgv3o59Hf0/ejf6Gdu3bS1OlzKRKKmupgV8yfQU0bN6GfJs2gA3t30vQFS1UcK51A7xv09/RZtocjaR8qzgLEaUgdu/emfcetLUqk888OpP/KbiWMwX2ypXPULZiXU+DFIlliUarzFhq+8pKtf0OZZX6ZSDnjKP0S1obhgRLnqe2rHJFyxUJ9lCs2XwW6vJSQcCILLzxBScBDLu6P3KO05Cu7Qd6SM3IdUtYwOIdfaoFyhW1GoFyhjLCtjEzhYi84vCiBT3uh7GDHHm0YHDh48CD/ZqHO4y1UrCOUhzchLflIFsjJubcpw9xTSlhOA+WRVEWVxgV/VHAsssc+TQCVXS/TpJD4aGDozLB32L1e5oa041jHcC4/YomIi6LmtatTw6+60qVrbnRCKWlF/+NKLfqOsMVxVldVG7DZHHGWrrg4eDGO4bMaaUt3YiRMkNF7rPfacyGAZu1y59EwN9+EqVkJnxXlo8uW/gabpcoovrhJmOSAvxgpW3zhYPLkyXY3kSHH5JAwIuvQoUO0dYv17cu0ysoK9PR1g/oj/b8YnEv41IDRSMymYPQPLyhAYYLihLqKbUWgUEGxgoIFOxQu+EEBg/KLTXkRFzLkrdjUIPmXvMo1yblcD9Dd7Whu8mUN69RJ2EzDSZrsnJVpJmCUsBwMygtlBKVr/Pjx3NE7vu2TFPCT+OCPP/7g/ZmkgRsMTrHVG4C6w/WMz/7dgcp5bGwMxeDBIC6SXir5AFWp8zlt3ryFNqxeTo8Vzk+DJlgfekZnLmsqOJ4ySEqXpRtJF6NffG4F5qOzOJZ39nScAGmCOzESpl9ncssrJExWlouehtyL1atX86iKuIl/SnnQ/fVy1N3FnhpZYiQPa9ettX+DUpQFMZmBLs/RSN8rZQQjeUgtiIOHcnwfE/Xt7NmzrFzixS6MUmEvN1Gu+MsGa9fylCGmDnE/MJWIh3JMLWIULLVI/h3zLvl3NBInzTjEt8vQ7XcZRgm7Q+gVDGsWZEGrY0XDOSo6wDA/OnuUH9xRfiJHjCB2aSgIO2TIEHYXeXp4gyG1WHVNt8vTL5Gfx3Ua1LMzT4FXr1mLxv89h6cpuR7aIkm9k7i6PTm/pOzO/LID6b/uhBIG9OuHgdIlSyww6ujon5WIfL7PyuAHHqNYHh4e7KeXSUp5kfzCoIyln4PyASBLZMgxKfRwkIO4ixYuSvQmJ0iNnKQMZMBIXiUd+KUWxMFvgJ+fH2+Ii2ndw4cP086dO/+lXOF3AOuwZI82fFAdyhW+foCXumRdcWqQ/DvmXfKfnEktCCuj4If37aEjp86yPa1llHUk1M+r507S9j37bSNh2ZO/XK2EQZ4zo/vlVJA3uX68BTRlyhS26/Pq+rWIO6Ykf/nlF7YjPtylAjlesx5f7HoDA3p4gyEjJF2XErfLuwVpv3dKCctpyL2V6w8LC+OXgqBc6P1OauqALgvljPM6tevwgyRAvydhUpKny4Lx9/enhQsXOv3kki5TjORBDM4lXEogPK4fad64cYOVq6NHjtKuXbu4L8eIIZQqUa7WrFnDHzTfs2cP7x2JT0RBkYVyhTcPU5sucJZvyXtyJrNBmrI9yjtli1ON5u05ndgY60sLwDFtOU+1SeHaxM+5bJU/2+/ryM4NybVEBX4ZAHu1IV6C3H/HTeyfCj9OJTG5UglLdFHK8BOg7clPngZh18PmNHBz5PqrVavG043Acf5dz7teXo7XBHnA8XrFjqMeXyoH0MMb7l5wn+VeSwcBdPf04CgX9QyLwfmojPilnEaCHHmN3DrNWP6yCmlPRglLDO6VlAEWbc+Zg48sW+UFPzGpAeEkHkZ9UM5YvwT0upUSEk7uGabx1igFCCN2aZGjg2sMDAzkN8+xr9nRo0dZeYJyBWVKV66gbMEd6+WgXGEj3Js3b/IsSERERJrqjL2N2QzOYXANSZk7CdKX7zB/XKUi1W/X3T4qjtEm+1pRLa9J5dmSpa5ZC4dzQZQxHd3fnq4NK7619QT4uU8reviFaqwsxcUl/i2WF5YEXS7sIlruh2D5JeTXkVyrhMnRsVB1Em5UQpycAvIjN6dOnTr2KUapDDpwF4M4EgYN+JvB39inMvXyRFjHI/x/+OEHmjRpErult/wNBkekfqK6JdgTm7sNaT9GCUtA7jOOUg5QUKCMAJRZWusEwklZ401JlLWzD3Qnh6Sny8IifXz4G/l0zBeUMyhYGIXCaBTSc6Zg2ZWrXbvpyJEjrFxhOlGWmEhaqUF+vBEHRs71fOkG6PacCvInCkz9l8rRZ90GsN3Ly9PafkKBsrJdESKwDWUQZVOSpTx0+Npt9vCwUPL1C7CdWX7YeT8m1ir/0JBb9m8/YqDDUR7CQtZPX39JRSq8Yc9XXGw0+fv588ftAaep4mENLAgNCqTgENtusvCz5R0E+PtRSKj126z76WFArlPCdFmiQW8540edZ5ymd348SE0mHqeZO93tu0ZLGIfrvuOgAogyhTcfBwywKqYzJQwkvm6rcWKI+rXXXqMXXniBGz1wrKgC4qG8FyxYwJ0Y1kQgLNxEtuHuBvdZ7rW721W67GZ9jFl3v7NYHRwI8PWiM+cvqgcpm3sOrKPSf2WmEib3IimTG5B84ihlAWUHygqQPic116TLkr6xZ8+eiZZk6GGSQw8n927RokWsNMENeYWBHeusoGQhzzt37OT1WZhKRFis20qLgiWyEV6MpJOcuVvAtchIWMO3XqGKb1Sj+rVrUaH7CtALVd8hN68A6t+2Mb1VrzHhO/0om/OHd1HZp8vQ1kPHaXCvdlS6dCkqVqwYlSlXnoaM+plCImybpsZG0ehBPalA/vz84tlbdT6ja97Wlxam/fwd1frwS5oz6Tfl50IlylemKze9qFvbJlT6KUveM+Ur0LBxv1FIpDW9Pbb3F1S43GuskP0z928q9vD93LbLvPASbT9svWhyYtdGqlCxEnXq1JFKPFKE8hUoRCN+m8F9FZRN/5tX6NMP3uL85MtfgHp/N5awEw8UPWeDRrl2JEz2vhm89CJ/H+2JrzZQmT7bqVSnzbxJ4btKIfMOsr6Cbu2n8++Lv5MgX9IQ0dixRoDzmsoyQVw5NmzYkCsU3vrBOVdOJQvIEYj9k48/oXr16rFdD2u4u0HdwK7ToNX7Vemlup9bdU79uHFdVO44Z8OhtPNsMSp/tun4GaO+JteHSlGYygi/HYn8OY2TTsOpZAxpq5mhhEm+ADpqdOZYWoE+Tux6/nM6kkccUR4YfcAWOXiTD0jZpeZ6HGUJEpfrrhYmOfRwMMjHjBkz7FOCuqzUgPCQIUaX4cwAOd4r4HpFCWvxXlVyva8ILfpnE507dYzuz+dCX/QZSWf3b+E2tHDzQQ7XqrYKV6Q0Rar+qsZLZei519+nBfPn03eD+nC4Os27cLjZv+JrGq60fONuunr5HL394jNU9ZM27PfH9705bOM2XWnJogX0WeMW5BcSRlVfKEkvVq9P8+fNoyH9rI+Af9zma44ztldzKlT+dbZ/VfdN6v7NCNq5cwdVflYpbG9Yv5lHN6/kOB+2aE8nTp2hkX078fnp637K9zbVe+M5KvNSdTpz4Srt27KaFcA/F29kP+uN8MT3P1eOhMnQ5qzdN3ljwpqjD9K+S0EUGBbDO0h/veA8u3/+53HVIFR4WweWE9Hzldo8Sjhp8KBdu3b8IVOAJ0aULcLpBiA89n9BpcGwOkjPfTDkPlAH5F63rVedXm3Q2KonyuAoo8Y8NG+rLwmboyq7rb7BIDzH5XBWWEuGFZb325F4KgzHg78tvChVieXF2pWwWWP6Ud6iTxMG+hEP/oDXiinDdlt8K92EPOh5l3ggsZ91zAgiO6NKGPIiuUFflRS6X2bkP6uRPKI8YMfbjXjDD2/yASm/1FyLhMFR6oyOpCEmOSSMyMB2D9jpH0gdEX+ci5F0xV8MkKPh36BsRAlr8FI5atDBUnjAkDaf0eMvv8P29/5Xmiq825A8rl/k9jR65mp2r1KhFLXuOZLtYMX0n9nf3SeQ6r9Wlp6pUovWb1hPa9euo8Gdm7NfuGorM38cQK75ilCgw04clcsWoy6DrJFUsGDiCI4TGBVHEwe1pcLPvc7TkUGB1mfUosJCqFOTD+mRsi/ytZzYuoo/s3Y50JqGDLx+Tp270OojFyjc+yrL6jxoBK1bu0Y9eGygF58oROVrNlRxUb8SXqQTcp0SJo0gWmnIlb/bS0/33E6egZE23wSaKAXsia/W01H5KLdNcbsbwPVLmUp5CLpdOhQgcaQC4IlUhuHlPkgYw92Jfq/b1HmTqn7+Jdtjne4X5FgPkqoXqDOJFQ+9Xae1PsXFxrA8UcJCteh6Gs7kxmttPJG/g1380po3R+Q6M2U6UuVFlEu/kCj6Y6MbNZ54nD6ecJRGrbxEl7xt6z7Vj0tm5T87kDxKWeEBcPHixfy2IPz0viclJAzKFwZxP//8c96+AeiyUisPcnDELIL+UCoyxBjSD8pPlLAPX32O6rftzmUMM7JLY3rwhbc4zIG11lKZV196kYqULEsB4dYUYbUXy1Dj9gN56w2sEXM7vY+Vnr0nzlCNF5+m/1V7hwYNGEA9evSg/gMG0uixv1BkbDxNHN6T/q/ky9xzYS9DvKEJeS+VK05f9Rhul3fh6HaWd9E/jCYP6Uj/KfsKK2GRt/ypa7sv6IO69ejlis/TE5Ve4zwft42EnbzhzecBbtan2pYfukD+F63v4H7ZqRv17fM19ezZi74d+h3NW7IKBcEPkY71KdcpYfI06OYXQSU7bKIvplob70WrAkaDgnKGp+0VR7ypeLM1NGOXO6eLYcCcBPIkBuuzYHS3lNDD4SidCcBaMSwiBShj+AHxl3MdXZbh7gT3Vtpchw/fpQpVq1O3jq2paNFHqdaHjcjDP4h+/a4Pfdy8HamHQu4wsL6h9vvv0j879tHkCaOpZo3qVOW1V6nGex/QH9PmcDiReXzPJqr5xsv08MMP05vv1KFD566y+7VTB6h23Q9p945d9M5rFah0uQq0bd8R+nXMULu8Wh/UoUmzFnDniXzOHN2XXB8pzd+tPHVgO71T7VUq8sADVPXdunTg9AUOEx0aSC0/+4i+GzGSPqz1pkr3Uer17RheD4o8xUTcou/6dKVHH3mYHi9ekkZOmMKdq95WMoJcd0aUMOTDui9WnCNuwfTCoF28pAKfHnqy21Ye1X+y61Zapvo0oE/N5iakvLAbO74xiMXvKCvH/iklrPKyFCXZxBoPlEDSSAlJC0ekj9mDLZu3OJ0uNWQM635Z5Yi3Iz/s0NNWrrdpVJem9PgrtazzuChqoh4OcT+/n2h9qgq8Uak0teo5wnZG9PfYQSpMHvIPi6QW771C5d9qYPOxiIwI43Y+8fte9HBppVAp2TyCrvKAVF98tih11kbCfh+OKUlXCo29TRMHtqX7n38DmaamSnal6p9wmDk/fkP3l6nA9pNbVvJ6r1M3ffg86PpZdZ6Hluw7S7Hh/pRH5f+HvxeynxAaZvuoOfKCo0auV8JaTnGuhC3/lxKWuo4RYXXD6zHsJrEfTHpBXuX6u3TpQm3aWPPYSS3MTwrJA46QhyMWkKKSjBs3jv2Qlh5OwsIdayHwaQqAcyBhDXcXct9Br+afkEseV/pu3O+0ZdMG+o+rCzXq+i2d2ruJO8G56/ZyuNG9WnOH53srjJrVr0r3PVqGRowYQV+1aMLhPm3Tm8N5Xz1F/6dkfPpVd6WUbKWWH9eiIqUqcMd26YAl89kXXqORo8fQu29XoxVb91LT+m/S/cXLKXk/0JdNG3KYxh37s7yZI3uT68Ol2d6zYS16u/7nNG3aNCpf4kF68uX3uZONveVDj6g08z3wCM1dvJxm/D6WZfy1BOsviPq2+YRcCz1Ci1etoyWz/+YPjv+xcD0Kwt5WMoKUZUZHwmR0C8spXvhmN5Vsu5F+2XCN3P0jyCsokubv86Qyvaz1rqdvWp15bhrZl3LW6x8+AO048gTkmBK6rI4dO9JTTz3FD58oe72/Sw4JI+GxrxnW52I/LyDyU5sng3NQvvL7W1MpQNWbtWM7GNKqHhUo87Jqz1YZf9+zFbkWeIg8gxO27aj9dmUqWqos/fLrBOrXw1p/1f6bH9nv2PZ1fF6y/Es0cOAAalj/PSpcsjS/zTh+UHvKU6iM0gdUwNt4MEOM21T9tfJUQilUv47/jb7u0o7jd/3e2iJqeLuPyPXxCpybl54sRM+9UY82b9pILz9TnPIUeIBWbNtFBzZYm6Yfv2E9FAVcs75xOm3Dfj4f068zn9f7rCkN7N+PXn7+Gfq8y9csEyNycl1Crp6OfGkYpiO3kUeg9Z00FLDQaCKmIzfQsTRMR0KutDd9/YUj1roWhE+4trSCePrbPs2bN2d7WpUwR6RM8Z0wKGJ9+vRhmdLRiZFw06dPpxdftOa64SYVBOeGuwv9vret+xa9XLch28FPfdvTfaVeYHv9V8tSmar1KCw0kAopJafVwJ/Z/aN3Xqa6zXqyHaycOYE7G7eAcJqHBbKu+WnL3sP8nbrtaxax3/J9F8j/8lEe7p+2YhvHk6pV961K1LDdQOtEseivMRzHIySalvw6mFwfKUMRKqybbQ0R+LF/F8r7YHHlrupxRCA9rPI3do61/QGoVKwQtf72J4qPDWelq3Xf4XT2zBn1YHKW6r32ND1WGU/dqg2jrmewjktZZnQkTH6gpu64wSNgY9Zc4XOdf475UImW66jbHGu3cfRnuamNSl71Oojd4PFCEoCbHiY5xB/lLH3WK6+8QhMnTmT39MoCmJHAG5N4+xFu4p6SHEPSoOxkJGzkgF40cuJUtisfWjz5J2rX71sOExZwkwqq9tzhW2uUKjrG+i2sXf0lerzU01SrZnV67fVqNGHKbIKP1KP92zZQo0/qU5UqVaj+p5/TorWbkSitnjeZWnftzw9s1lpShFZKWJXnlBJWlt6p8TZVqfom/TljAW9fgTwsnzGBWvcayPbjuzfR++/UpMZftKGffxpFdWrXpl9nLqEbF05Ro0aNyM3fWjMW5nuDmqjzXaevcDyKi6bpf/5KNd58g15//Q1q3aUHnbjkxnlAfeIwGrl6Yf7sPdbC/OqjDtKei4EUFB5Dl73Dqdf8c+zeeNIJddEqvO1JMzngb8ulXQELj46jlUe8afiySzRi5SXaeNLXnra1EDh5mUC/dt2OmyEK18CBA6lp06Zs1zuQ9CLligWwKO9ff/2VzyU9SR8G3xDTw2RG+oacCe6r1I02dd6iKh814XOYKcO7U95iZVkxObppCSsVH39Yj/LkL0xnPQI47sfvvko1P27LaykwlRRw8zyvf9h2/AL9MkTFL1iEOnZoR81UXf7yyy+pdes2tP/UFbp5eg/LO3kF7SdOda5WHaujlLC6Tbva5XlfPcHy9lz0oBV/DCPXh623I8HEn0dR7bp1qNLz5ejB0uUoGPVUKWEPqk573Jyl9uuo9dyj1HTQTxQT5M6yan/yObVs0UK1r2b01Vdf0Xejf+VOWfWIGa7nSA9kRAlDWFGo2k0/RSXbbaJrPuHcB0E5gx9+wGJUWuUG7qJXv9+n4lh9SVrSyQlIeeMoZYfRMHzTEMANfmKSQ/ylDDCiDyOyxT0tsiRP2OtLX2cm/inJMaQNx/KcMqo/j85f87W2mIix/dZiTVjrXgkL8xnlj9hJtQFH2Wgztp91a2H+YOv3zg7kaXHSe68RL6mYScnMdUoYgBxZF/HN0ku2LSrWU+ne26lUx808Dfn+2IPkExzFPyqy4DU5OI9a2BM3btEbw/exMgf5Jb5YRyVarKXaYw/RdX+MvCXkgeNqiJsYdKhWZ2ozqBAqLl7bhn+/fv3400UAilJ6O1fIEqRs8eaPrDcDeuckYfCZDPyIYFNCcddlGe4O9Hvern4Nev2jpvb7/Pew7nRf6RcoEufxMdS07ltcJ1p9/R37AyhhtZt2t50RbV85k8Nc8g2jBb//QC55C1OQQ9VFepcOb2OF6Mh5T05PlLAPqlakz9pY++OB9Qv/Ynk3gqJo2YQhvCYM4X7o1YoeKlmBbqonz7XTJ5DrA0U5vDUSloeVMD5XYd+rWJSaDPhRJRzJI2FDfk9YW2KBzti6Zrn29CJlmXElzOon2kxTSlj7TbzUwt5nwF/Zsaa1/ODd9Irqk9KihCGcbhz7IpSF7p/VSBrIOwyU7yVLlvA6MSBlmpq8SJikwur+ycnTw0n6GKHT19WKjOTkGJyjlxvKUv89xtuCcIu65ccPVJ93+SbBXdVVUKViKWrYdgCHi4mOUr+Rtt8nm1yWqYzVliw7kHNIsba5gettqlTmv/Rlt2HsF6MeAO3yFPxWty0+y9Jk2uXZ0pQ4cq73K1Ycq46zXR3FT+IJuXIkTI5y0dvP+VPXmaepzrhD1GzScZq929lmrYkv3BmiVHkHR9Lz6qnzidYbeB+yg1eCaPeFQOo8+wxPCbw96iCFRVmFLh2ijp5HqUiOWJ2hlUd87kI2MsRNS01ekwJxJT5kCXCTkTBJl/Nnszdu0pj697fW48AtI3kw5ExQH2SfsJY1XqGK733MdjBxcHtyfegp3hICd376T0OUYuFKx696q7pg1aPmn9Sk4mVeoKXLVtKMv/9gJefNT1tx+CCPq1TsP670QKny9Nuff9HvP4+mCmWfpK2nr5CXbSTs0DkPlgMlDHz6wRv0ZLmXaPnyVTT1z/GEBa3vNLLWi0wb1pXyFHiU7e9UKkbPvlaHrl66SM0+qKaUvYK0fv8higoJoAIqzsjpsgj2NlV98j/0QceBnKeRX1vrPTr06EdTp06hVo0/oQatOqh2q8pC1XG9faQHaTuZNR05act1no6csMmSY2G1w61n/dTD4DrqMOM0n6ODT00blTDc1pPpi4TsaPeShvR12GgaU4D4xJG4g5TyAn9dFgwebPFQm9ZtMMQfR4mzcuVKfjAFqZVj+DcoM718dTuULfDPrN+oyMNF6cQ1X5s7FBcrXIN3qlCHvqPs4f/14OBwbjlp50oG6oYoYe9VfZF6DvmF/XjQQw+bRsMSnbg7GqSbYE9Mrh0Jk6MoYs4QP4STOEkBf+kMR66+YnWGG6/xuU6/Red5pG3Onpt8LnEEPW9iP+52i35Zd5X6L7rAHe0Vn3+/bg50e0bQ00blE+ULI17SqYibdF6YEuJPR6h4uC8iQ+QYcj9yb8HwHh2o9dfWvnJg2eQf6e2Pm1A07nlMOD1f4gGq0bAD+8n3TL9s+AHlL3Q/PV++HD1erBh16D2Q31CCQgPOHdlDH35Qk4oWLUolnyxN7br3If/wKPI4d5jXa5y7bm1LIJ8SaVi/Ot1X+AElryzL69LvW5aHMKum/0pV63zKbfjQllVUSYV5q1Yd6tW7K1WoUIHaDxhJsTFRVPv1V2k21oDY6NKsHvX/5W/rWiPDaeywgVS6ZHEqXrw4vV69Fq3cttdeDjhmBCnLjC/Mt5QR31tRVK7/Th7Nn7bzBgWERvPO4GuO+1D5fjupZLuNvOWOlf+UlTDxx1HsZz1CafLWGzRq1WVasMeDvIKj2F3yANIjN6U4jkh4KUMoTdhDDHuJwU/KMLVyEQ6yYLBtRbly5awfWCUntbLEX+LgA9/YTgPbaog7SG2eDMmDchQTeiuYQkJC/+UOwkJDKDzC6hdSMkC3C5abZQ8NCaEIJQ/o7neKXKmEAavwLANlBgYdNtulg8J/W5iU4IZnC1tr7EEq3XM73QqPYXlQtPDDAX9sBovO8Kupp6y0nXSGVj4wDBnPI2lPtNnI05p4UQAK3JNdttCkbbY3cGwNOyux8hnHayawWB+fEAFS/s7KRzoc4MzfcDch99c6blsyjZWKXaeshaZR0ZbC/sn7VeiDxl3ZrrddhEmuvuhnCId2AWpXe4E+bd2X7Y7yhAR7gltq+o3k8uDol14kHxkdCYORMsGI+zO9t6v+Yg091Ws7lem7g5dC4E3wGbutBz9nfU5S6H3R0OWXeLqTl1gomeiLnlZpLDzoyWF1RcwRyScMy1Ty0C/CyMOkblKDhJNyxPYQ2FUfSj/KUPxTK0/iwEBRb9myJbtDfmplSDjJ05UrV/g7kWahfvaQG8pV8oijGDlPD7lWCQOOBeDMpBYOj3/q+PqI/bwINgr7DUG5Uw2POzJl91FPq6WUEtXoz+McVvwFdlMdE5ARteqjD9Kqoz78puZs1ZFiqhOd4PLDXohAnl7e/FV/zoPNZDYiF99cww/Gli1b+Fw6KOnAsIkiRsz0OIa7A/1+Ot5bruOot/Gx9HqZx6hSrc9ZcUH9kD32oITV/MSaLsToF6Y28YMswM3+UKHcE378rLTEyOgxlLB6zaw1Zo7yJCxI6CcsmUDqqx4O6Oc4JsS15c927hgvPYisjI6EMcir6kvA9YAI+l4pTO+NPUQ1VN/RZ95ZHk0HuqKUUv6t67fyMnqN1Re9ofq2hQc8aff5APptkxtvfYFlF/j+LkB4R7k4FyfJoyMIk3DvUs4bsORa4WRkHssy8JCofOz3GKQkT/xxT2DHOlg8cGK9me4O0iIL7N27l7Zv387naZFjSB6Un16WCffbctf9dBMbE80jplCMxeA8ItIa1ZVwOpabbtdls/WOkauVsMxEfoSQx9ZTT/FC/0NXre0t5IkPrFTKFJ4kv1OdJIC7XB+wfoRuk0dgJG+0+OrQvRQUZk3nCOc8Q+mprlvpxW+t17OnTJlC5cs/z3JQJunqxJNBL3+AvXCOHTvGdulYpHPBHmP4QcEWF+IPd4lryL3o9zHxPRVl5Tbt22BtLfHPbmukFwqY5Uf0We036L3PO1juPNVjydBl6efODOq2KHV1336RPmxpbdzoTF5KBvlNsFvo/s6MHiajSLlkVAnT85KUkgN0v9TkX/qim0qpw2av6Iv8QxN/HeHglWAq1WETva2UPfR/UKT0/CfOm+UeGhlL/xzxph9WXaKf112lvRcD2R3oSnRqQDgxUp7YyFWWTSAvIis5mSIDiJxLly7xVCLcUb9SI0cQeSJr1apV3DcCPU+G7EPuxaals3l5QenSpemJJ57gY4kSxalT/9Hsj3BZeX9ENracwGfWpL2kN02jhNlA3uSpcee5ACrRaj298f1+OuVuPYECbIPx/ABrzQYUKT2OIOdYx1G82Vr6fbO1k7O1i7e1mSxoO+OUSmMt+UXepuVLFlCFihXZPSsaOOSJTL3M9XRgl6fRIUOGcMUGyI9UMsPdSsIPob+3J127ek25JNQbGODp4U4eXj6Wm62eOjNAjo7oYTxv3iBPb1+2W+5szTVIW8qMkTC9XKCMoq8QN7w9CQUM3nq4lOAHRHW0Nq5eS3/ZlkDwCD/6Iltf1eSvEzzdibcygaOyx3mwXdP+K0H0yrd77FOaeGMcb483n3SC17AhbFp/lCQNTsdWpnNmz+E3u0Fq+0Q9TFL3QMKkJA/+YvQ84SUCkNo8GTIPKe9bQQF0/vwFOrLX+uj32ElzWWm/fsOL/eW+JQX7WxZ1HxMGIRwN32NbOF0e/MDFQ1upTOkytPGItWG8uKcVo4RpIH/S2WAqEW9CYpfqWmMP8ZMidrLG0P20Xe4cBmH5hmo3CE/5OF980Is7vnn7PLhTi7bdVOz3g6fFQUsuKPlr6EYI0bp/llO5562RMEd5mYnIRrmLwoUnvO7dbVNCKn9wx5qMRx991P5BcITPqjwZcg76HU7pfktdcjR2sq26JKTrmI9E+ckCpP/KlOlIG/o1JGVSi/RFvJ+i6ovwKTcoX3C3+iJr5Kv3/HPcr53zkAfLxGlIP3fNN4Ke7r2d15VhfdmeC4G08ZQfNZ10nNeXfTbxOCt+lsKYtrJHeBjkCwZTTDNnzuQjgJuESQ49DO4P4mEbjNmzZ7MskQ9SK0viYMpr1qxZdrl6Woa0o5efKEP6vcG5tDHHcxAT6sWbQC/dZH1qCkgYiNXjpGWXBEccY8hv5+ntq7jdL9t9mM9lhD+tGCVMQ8+nDKsDLNAPCbcKHvCTohZWJ/42GixufjzV+eUwv1Y+YaMbheMjewpMB/Scd47XZ/RdaA1v3/TwtK/DAo4yswqp8PjcR+XKlenlV14mT0/PRPcFebEqtfPrNdw7SH0J8XWnGq++SBVfeIHfeqxS5VV6oWJFqlKzgarf1tS7dHp3lCyuq9JOMlMJy0xwD9CPYeTrzVEH6Ik2G3hNKvomcEv1af0Wnue+qN+iC+wmI3CCKBtQrl4cupeeH7zLrmjhGBWr+gYVDks3MDKGF5EkfFr7Cj289Dn4sDY2TsV5evohuUc3b97kver+/vtvPtdlJYeeHuKgPLB/mOz0D3cxhrQhZYrjspl/Udu2bfl7sziPj42g3l060MxlGxCQw0/7bQy1avUVnXGz9r0M9rnG32yc988uPl81fyY1b9GCfp86j8ODOX+Pp5YtmtHs5UqOQtLj7ikumiaOG8FbMw0cMIAG2Aw2T4fbTxOn23fbRxxB6tSZXWu43a/ce5TPxT2tGCXMAT2vjk906NAsN/gnhNWx4lk37ZJXGFVSnRaeEp//Zje9//NherrvDu70ao87RMFKudN/rBDHmczMRk9H7gGeFvHpJHlzEqNhsjWBIHGyI4+GnIfc95jIcNq2eRNt3bKF/vdsUSr38nu0detW2rJ1J0XGWD/wydUR+Ik/ftRQB50ZCZOcLOWrwloPSNuWzaAaNWrS9QDrW6gyqp1VII8gpyphKDdRuI5fD+a3Lku0XEuv/bCfPvn9GJW3fSj8nR8P8ncrWWlzyLuUfWR0HJUbsJNeH2F7s5r7QWsdLezo6/AWOD6rJOmmpxwQVwzKFzJ27NhBu3fvtrvhKGGTQ/wd79O+ffvsslKDnh7ioK/EG5NYcyYyUsqL4d/o92D/BusrHQ3aWG9LH95ifZ/xkXKvU5Qq2lDva5RXnd9XvCLdirB+l4J9rnKYmcusz6H5ul+hF5/8L7ut2HGIjmxfzfYiZSrRNS9/rkvp6RMc76zk2ShhWQjyqRsoXzCO7kmjKpftZnsGRdLAReepklLCSvfaTlWG7aNxa69QWKR17Y4jBsnLzTz0a0iq4wXYKwffn8T6DISTsNmVT0PWwvXAdsQwO9pkQr2wpq3lPCFMQn1pWLcq1W+e8D1JxEcYqdf4oca5TI2JrMzDWhwL5v/8DXeK57ysb7pldf8i8nOqEgZQ3tIXXfQOo07TTtGz6kEQC/XRJ/2w4hLvRQYS7lnCPbLavHXfPlAPkU922kxuvtbaMYx2wYDpu9z5YfMP2xrY9IyECRKP867KGAZKj7xBjnM9TFLAT4zcKyy/wJ5kcHOs28kh/igP2NEvzps3z1Y+pk9ML9ZO9ii/eKr3+nOUJ+/9FBQeRf1afcptCmbHqWu0bu4fbP9z8XqOh9/j8GBv+rBBA9p+yKoXwP/mJSpf7AHKX/ghevD+glS4aGk6d13e/NX6gzTeKv3eihyjhOVQcI1yu3QFKyY2nqc1dTfpHDEdiI4cnQLQb3hWwnnV7g3uh9wTfFwX21iAp59+mtq0acN2+GdX/jIDx2vU7QaLf5UFzlMon+joGK4LH9V6hd+YhD3G9sFdwVkZW6IT7sMNtyt0/PhxpyY4zFoPlPy9sn5MwZI/fuApp4s+NiXM1r6yCmkrOXkkTMBolRCqlC6foCj7S0IAP2pAvzcAdlG0eJ1r87VU/5fD9kX8AF8swShb6R7byD3A9v3GDJaB5EGUnOioaJo7d679bUe46flMCj2Ms/sCfwmTkjwJK3KwdAPofWJKMgwJSHmyMqzONy76m9tRj37fUIkHClClV6vRwwXzU+2GX9C7r1ek/EWeIL+wKBXHyYgW5Ngexg5vXk74+gZkTV+1g93kY+CSJjeHuGj6efg31KVLF+rWrRt17dqVTbdu3dnt+3F/mOnI3IrcaMBTmI4LXW1PidJ4sUlhvnz5+OkKOOsssgo9r3qeZsyYwRVs9erV/JFv2DGMDyRMbkC/PuRb8q6bexl0MCDyVgCNHDaMJvw92+p4VLlcOXOEfhgxkgLDrbfeQgK8aeQPP9DEGfMo1jY6whu4NuzEMkIDfWnMD8NoxOgxdNPX2t4lMiSAxo8dQ98O/Z7c/WSEylocDto3/IDrljOzcu8JDiOjaADHxMYaaQNLfv+e4xklLAEpJ4AHQF0ZA+ibklLABLihLBG/29yzPOL1pFK46o8/SjV+PMhrzbCB9ZJD1ttp0r85k5UWRIaUZ1hYGC/Wj4yMZDeY1KQjYWBwzxAPSy1kmx6RA5KTpYeRPG3YkHitEUhORmahp+XMnpvge6nyHR0eSJVKWtOJMHtOXabh3b+wn/cYPp7DywgmjJQ7ZHB7VIpVh6Yf2eO8XbchBUeoMFj4b7tnHJct8XTj2lW6eOEiv12ZyCg3N3cPDidpCdLuc7USNm7cOLbrhXkvGFQ0/VwqEBafPvLIIxQYGJjIPbuN3COpTPiMCCoZht1HjhxJRYoUSfSGkWP8nGqAHAGuz7GM71WszkuZmEh6939P8v0+dMHamb17i3p8/ueidXw+b+IoPu8zehKfg9rVKtJb9VuzPT4ulv4cOZDDvFG/GUVGx9DA9k34/IueQygyNnG5g8AAf/Lw8ODNNXXj4eFJEVHWk60eHkepf1YdTJiONEqYc6T8xKAfkilGR+OIuHEc2JWZscud3h5xgJ7svo1K995OjX4/xtv3AJS5MznpQZcjZYq6MWfOHLZLXQIppWm/Dlv+sNVE/vz5adq0aeyu/xYlh/jjiPSxueyRI0fYTepDdoN0pSx0kxuQvMqD1LSfhnJbqvh2PT6/eGgbf6M2T/4H6MwNPw4r5SxxeWTM5vbjoG4cv8+I8TTlZ6s/+LBNd4IvNmu2z0RloHgkr6d3WmvOVuyx7n+ueDsSDQBK2NixY7nQ8L1CqUD3osECTxzPnDlDhQsX5g4G53hK08PdCYN7A7Dg+oEHHqD9+/fTggUL+GkUlRDGWbycZpBPKc/169fbXzwAcJPOXRr0vQauWRa2H95qLYb9+scpFBXiR0Xyu/L5yx80Vj/A8VT9+RKU/4HHyTtE1Q1befVo34w69hnBdumcRvbryPHerP4OH99v3M4+rM/lbYsLoqMiuU45M7g/IKX7IuneKSUMbQTpXrt2jfMKdxzvVsOoo39INL9cJFiL9bPOSFvFpql4QATpKWu5b+gPcN+OHk0YyXAWPimD/OChFJtfiwJ+J+69gLSdpZ8bgIKEvIb4uFGhfK70x8IN1ij97Tj64NWyVLOJNdquXx/Akd2Uff3i6YRpyOoN1AOgren3aPUZ3+PB4/5SfZgWH57qiHuYnEE4PT0AGeDMnrX8VYZ/9iVsfJ4e7shI2MSJE/ncYIGnMuz8i2F2Q9aBTWjRINu3b08nTlhTXUBvYPcilnKkOpqYSKr81H/psfJVaOQ3/VRZ5aEK5cuTS97C9Mtv47nsvlAKF4DippcbbOi08OkhnDWpU53DP6FkBUWrzkx1ULKgH+lJh9WtRQPuyPLnz8tHtue1jmv2J2yCKOGPbFtDL1WuTK+/XoUqv/QS7T52wZ6PnKCEoQzgrnfkd5uxpocTypZHUpVxFjazjdQFbBMh2/qkp7xFcR81ahTXNShRIttZ+KQM6h62v8Au/3h5KT0y0mMkDXwP+Pvvv+fZFAF+0iZw1NtpTkTyKPm8evkyRUTLyCSRj5cHefsH8Tn3UxzKwh5PGS91H256ePCbvMrBGrlV/RTW7l27ft06V+6STnqR+DFREXzvI6Ksr1CkV262KGGoLACVA1Nar7/+Om+H0KhRI2rcuPE9bZo0aUINGjSghx56iD7++GOnYe6kadiwId8r2D///HM+tmvXjlq3bp1r7h/y2axZM/6oLxZu4wcTHW8jdW2YSpCOLaONMzeCa4axlCeiRX/9yOUDU65aPTp/5jjly2Odu7gWoMMX3Tk82rIdW7mJ282Lp+j5px6zyrngA7R84152t368rTStDpHo4rlT/IO6d+8ePup2/1thHAZhRfaZA9u5TjZr1pSPR85etZ6YFXdKCcN3BVGfMJJtyD6wVxde4MgoY8aMsY9kpResI8Lbm3cCLGVBv4bF5OfPn7e5pl8pyH4S8umYZ/1c7M6uy1m8f4dLrMDlFLJ1JAydFpSOTz/9lN555x2qWbOmMcqgLD788MMcWyY1atSwG+QRP3R4keD999+3uzuLlxOM5K9WrVpUqlQpuxIGA3/82KN+3qtKmIDtKHD9EUFe9Ozj93P5jJ22lP3afvoul9t7TTtyJ4Z2jLC64ekE5RcdGkhvv1Baxc9Df0+fQc8+lJ/y5C9CB85dY1miuGQm+pqw7Hw7UkZTNm7cyOWFh8uKFSsSlH0cjcka8//tnQd8Ttf/x5MHkUZJSzRW7B9q1SaxRc2iqb1j79YoVdQoaquqUhQ1av1sqrVK7VVilNgjRojs/YR8/uf7Pfc8uUlT1f7+leG8vY579rn3Pjnf+7nnnnsund9y5crx9wMzZ84MDw8PXmw6ubx/5aiuWrVqoVKlSsmmv4grWbIkly9YqMBL/+2pPZrbZrZrdNNMIzRp6eZS2hH2/GGf1XEQnI99EllOxqjpDuay5FflKdqc/59ia8+o2xz+J7xUEaZJH9BE/WLFihmhtMOYMXIdKRrRo8UfFa/63ycdPzk1GjZ9eC/YWbLgYUgUG5kz+7fzedt6yEfmYxHGWRn1eNEaHYFuXlKkT5q/gtNO7tuGjCKcNVdxXL7jz/Wpt+eI5327TeVR+8d+o62EPAkT89fOGctt+/obIkyk/5uo+i9evAhvb29ebZteddfu33e0lMBHH32EESNGoHjx4vwUgcJyiYHkyyTrBg5C//79MXDA3yyXxNEoFLWfXNq/4sR+05bapadL9HdPrkTxEpgzZw6/5JUgPl5t+5baeSkiTKGMqTTEiQ2udmnL0bB3aniB4EWc2k+aQEujFgr1d0iYL/SvKiRw6BwE+T/A8dPyMQ+fl7gYHDx0GNFx8hzJ85RwrtR5i42KwLGjR+Fz7iKH1bm9ceUyThw/Br+HCR9k/ruoNlT7iZ2s74n/fX68TB/LJyhNk/559OiR4Xs1cXV1RdEiRbFs2TLbtzYJ/fefNnjpE/O1S/vOTHLpqc2p/VQo8ZVcvlcVdfzm82CL4/+JP6Yp/hiWgi6p4EqaLy1jOz9iS39P5OgRpXYvx6nzrTDHvSqORNfWrVv54+IKZdsI2j7P2fKwT5MSvNSRME3axtxp6eKqOrKKT62o/dPi63kknAv1yI+CFEPxSQ27GQqb8yXNS/PFKE5Nxk9a/n8juf3+N9r5I+Z2tEsZR394SW3Rq+DU350Z29++KR85Oj+2vicch4XjMOVhnyal0CJMk/oxjIn0GkbFZFhsYfX6cpL8f+bXaDSatIjZjvENjrB/yr4lpPHGhlxGJGGe5DNjyRgymtoaphxahGnSDMq4PBc2QoZfo9Fo0iEJQuuPN5a0lW8Gx2PGhE/RqHETtO/ojVMXbyAuMhhd23yA2vUaYscvx2ReGkHjkpqUQIswTepHGRrhgoICEfDkCQIe+eP+w0f8CCrg8SMEPgmA370HhjFJMEwajUbzSqGElTCBdy6f4bcm67TqzUn+N8/D2ckB367dhtg4OYdO2VbastU0/JqXgxZhmtSPMAjqbu3Azo1wdnTAW27F8MNm+abjiO5tkMExG75cvJofUao1rzQajeZVhOyf+pbh5CFdYe+QHcd+/RWN3N3x46FTHC/fhiaPtK/kOF6Etf18eWgRpkkTkFFQRmJAuwawZHYBrQ4V8vA63MuXxsrtCZ8wUQbEbEy0UdFoNK8C0tYlvBATEeiHHBnt8HrOQjh69irnsVrps0BqPm2CbdRW8uWjRZgm9WMIKDIoNNJ11/c0LBY7jBz3Bdo2bopNe45wOr2yrYQX5zWMixZgGk3qQPVP5ZJOKDc7lZ+kgTmcnFNpSbdJ05U/PZL0WNUixj4H98AlkwWZ8xRHUDQJszjbeVecOvQL1m/+mUWY+pi25uWgRZgm1SONi9zGijs4ol9rT57rsPvkZQ7TgqxkNswfFibUp2u0UdFoUhbVj4XPGLHmaMY8gk3pyi/LGPFiS+IhEaY4lVfll0KDvYzZnx5Rx01bOp/E7s0/oEYdLxzafwj2wl4OmbqI48le0vm5euEMpo4fheyZM2D8vJV8ktTNrObloEWYJvUiDIHZsKg7u+N7duBddw9ksNjhm3U/8p0bfXJH5Y2LicT2dT+g76ARiIyleLmEhUajSSnURT2xkKLFRmONz2UR9JhMYRYC5DeHabkFM2YhxltTGwnFEteRHqHjUwJs08oFKFLWA7cfh3G4V4s6sLM44qZ/kDg/8lHlpQs+uHr5PMqVKoEjl+7wr5T03Gr+XbQI06R6pAGW/oO7NuOdSp64cccfg9o0wGu5iyOGEgyhdf+WL2ZNnQj3ssXxbocBXEbf2Wk0KYzofiwQjHWq9m5Zi6plS8BiseC1rM7o0vdDBIRFYcPi2ahQuSp8bty3CQqzsFgw+VOULlcFAaERmDmyHypVdcfx369zmsqjtrcunUb1qpUx8LPJHE7vj9nkeZKPGZcv+BJvZc+GJp36cdrF04fRoLYH8uZ2RZePRoFkVlycvKm9de4w8hQpg/A4/pHYjqbn85Ta0CJMk3oRhkAZ4OjICCyfP03cyTng4p0nnLyGwnZ2GDp5LqwiD+ULCQ5GeHQMurdsjNnLt3B5HiXjEhqNJmVIEFQXju0BPRpzLVIKY0aPQZ+u7bkfb9h7BoF+l9nf+WMpnOT8JVkuKtgfWS12KFWvNad5N6jIeXOXqAi/wDDRxDO+4aJ5oxGBD1GluBun1+/QnfM/NS/JIKBterILfDzGAYWEBCMm1oqI8HCekhEVGY7QsHDExMTw6CPlpXNF52PRtNHwbN2TauDzrc6P5uWgRZgm9SKMgTKaJw/vReuWXujSsw9u+QcjIvgRhn40CJ07d0YH7564L4ywmg/2NPIJ3HLnxqlrD2WYhte1YdFoUg7jok9MHdKDH4sFxCQ89vr9zCn8dv4K+72b1oDF4U08CInivh9rzPfc9N0sFlWbDp7l+G5NPXgkjeJqNOuI6KdyrhOeWdG1RT2Op/QmXftwvTQSlpT0Jzhe7JEr5aEbV6JzM09M+nY1x/FTA47VvCy0CNOkG0iw0VC6z6874FaiAqKEjeH5YMK4pD9jq9GkIYwLPDFjRB8hkCzYc+p3Dqu5ngT1U58DP7KAmvLdBo5jsfA0FlX/44ocRSoiIk4+Luv87jtwylUSsyaN5/y9P53K+WeNHsTh8TO/wn/yZEPN1l04Pj4uBr6+vog25qClN5tAx6OOSfmlSxpOmJcXFXQf2bNkwYFztzhMNlTzctEiTJN6SWI4yECokTFzWMXRllg4dRRa9RnBfr6zE2kajSYlSRjVvnruGBwsdrCzZME3369BrHHdp2kD/D1YIbiqCcHlUlQILqsUXGfEjRUJq8mL1svMAu+GFWDv4MbpQ71bcHrPXr1526zbYJ73lOs1O1Rv2Znz71mzmNNGzfqOw6+ibaDjpceTtN2/axs+7NMNFStWwpARo3Hxxl2Zrifmv1S0CNOkXoRBUEaSts93zxAdFYk7t67h7dzO6PnpdASHhvOq0SqPRqNJIUT3oz6obpSO7fsJxfK8waKoYq0GOHbOl+OtsbG83bz0S05bv0+u7t61cXXYZ8wGvyA5n4no1qgi7DPlRljsM8RFBKNuheJcpmjF2ngSKQSWNQI5MtujZuuunP/SiYPw9PTEul0HOaxE4auE2RZGCXsZHSPPN9lOazodIUztaBGmSfOot3lu+F7A9CmTMWzYMIwZOx4/HTjK8XrxQY0mhRH9T/VB9VgyPOgRvhg9jIVThmyuOHf9Pi8tQSM10SGPkSOTBbXb9UOgvx9oIn/bQWO5HM0RI3gkLLMbAiOleLh/5SyquFfGySt+HH4aHQxXJ3vUbScn5msSMNvDP/NrXg5ahGk0Go3mpaAu8vHixkg99fp53fcssjp8OJ7D9AYfMXlId34bumWzRrCzt+DI7ze5fIxVii4eCXPIh9AYORJOxD2VAo8fa1rD8dZr9qjTthvHxcXGIDY21jYaR3W9aqLDfMzKb3YqXvPy0CJMkyoxG4TEfvYmQuUhRwaW7rRpq0bIlNNoNCmE6H/0GTHqh8ePnkBkwpqsTMm8r6OyZ3tOj7PG8vb+FR85d0wItEoN2+Cp6MK8MLOh3rxJhGV2Q0i0DCtxRVvq7fGxYXhLj4RpUjlpT4SJzqkuqLR+DF9sjTDFqzTaUhp3SIoz0lS6Kpsonyxoy2PeSscBW7zCliZQdRGqXHKoeNrKMtKQ/Fn+lEYei/S/6DH+U2x1CkdGV7Uno/7/29NoNP8y4oZIzTka3NEL1Zu0xtmLvggKCsK29d+z0Oo+chqnq5so0dvRr01jTlux/Ve2BzJN2soeTSrDkqUQQo2lLtRNl3rzL94ajrzZLKjXvgeHb18+h1lffom7j4I4rPJpNClJmh0JS3oZft5lmS/chp94oYs4lTHyUWdlZ4S1CPh3UWc36XmON33tX6PRpCFEX5Y3UvHYuXoJLEJYkbhSrlg5d9x8GMh2lkSWWjT0yI+r4fhmHgTHUFlph+llG6KVe2FRNjOC1UiYIaroBpuJDeN2Sr/rxcHZn/Tgtqat2CpC8UIUJhmO02hSgDQ5EqY68/4dGzFm7DjcDwzlMHVQ6qjkj4sKx5QJ4zBn0XK+qKt4Vfaqz0mM+nQkrtzxx87/rsDEOQv4lWZadZnS/4zk0ihO6YMlX8/E18vXsV+t9Jwc6ttmT6PDMXnsZ9iy74gMGwYmtcHHaNw4Lpw3C/OX/vUx/mNEfeo8bF65CD379scxH/mhbvqNKV2j0aQxRL9Vc7ce37uD/65eha/mzsXGbT8iNFLOA6NHlgTZFHKxkaE4ffacjGP7TnZI5jlxcA/+u3kHrPScUqDskM0eCSG3bfMG7Dt8lIP+d65h2bLv4U+r64urAtsSjSaFSbMijDi5ZyPf2Yz9ZhUl8FA1OeqEh7avMe6yLDh305/jqJwq26N5dU5/Eh6Fno0rweJSDHEiD33YVIq5hHb2b10Nj+q1cEkINtm+TFeO8j81DEPFfI7IU/N9ozx9ciNxXoVavTku5BHvR8fRMzhd7T/lTFqONua45Jz4L3GYy/11nHLivz/EkeNjNIzd225OKFJF3l0md4zkiKRxypnTzH7lSNjRqGPgg9uoU6EUnx97h2zid0z4npxGo0lDUN82vGQvksMswJKSXJxGkx5Ik48j5WvM1CmfokbJvMhepAKi4kQnF/FyqDoenZvW5jdq6AI+eOLXXI7WoKHOHHz/OjLY26HtR+M4vneLmnAuUx0x9I1B04gZLR5I7Fg+D29kd8GZ6362NHLKaJCgUp+AaFihMMo17yLTheN9pS0lirLKmNhGwsIC4GyxoO/kebZ6ZRmZLgWe2CcOSWPEeaguEU/pUiCZ504ltKPSJKb2xdZcllBlVbxKk472g8rGo1bFIqjWyJvL0Edg1eMBQtVBqLq4vNgS5Kc4hUqXyGOT5zUe4aEhiIqKxrolc/h3/Hr5ds5FQlWj0aQtyB4ol9i2yJsuczo5VYbS2SIkSVNlzXnNW+Gx5SFUm3JaSUI9Gk1KkmYn5vOIkQiuWyA/4rzjyHmOJ+d/4wIsQmT1+Hgc3q9XGZldaPKmFEXE97PHcpkDPtc5f49mNfB6KQ9OS4RISwrlV3PDCCWWFPXKuqFscylQRINyK+B9M/yEWYQ5in0ZOGMxh80CQ4k8Qh6bEfgLlMhRQ/8SVfgFK0mGOGMkzL1sflRuID8FYiPRziXfxh+PJ/G5M0PpSrhtXjaXf681u45x2Cz6NBqNRqNJq6TZifk8yiQu1GGP/fCaxQ7vdhzE8XSZ/3r8R3zR9n0Qiv0bFrH/h58Pywt7bCTecXsDBSt5IlZkpvy93q+DN0pVxZwZU1AoX24ULFocXy1aLeeICY7s24amTZvixr0groPYunY56rhXQrZszihdoSoW/1eO0tQt7YZS736AL8aOQl5XF5QoUxErNu7itER3bYbAoMeRzhZ7tBk0AkP7dEN2Z2d41GmIExduwO+KDzw96+P7TT9zXj7egHtoLvZl6rcrsW3NcjRu3Bi1alVH9Rq10HvgEBw65cN51d1fwIPb+KhXZ7i6ZEe+AkUQazxKvXzqEJe9ePUGRg7shrxuhTB0wnQEBQWiT4fWqF+vLtzd3dGgcTPM+nohAkIiuD46Y9XLFUBFzw4c8rt+GT07tMJb2cU5LVoCM75eAqshTO9ePsNtLFyxCq0a1YWzc3a08e6LO4+CxT7I0b1A/7sY0tcbuXO6IG/+whg/bS7vI9/BinMUGx6EdwrkhIOLGx6HyQ/6KnGm0Wg0Gk1aJm0+jhQXYnJqRGR41+a8qN/NJ5FCfUSioLMDins04Yt8dNADZM9kj/L1W3Peswe2syibt2anCElB9FEX+d2xCjUaYsnSpfDydOfwzqNyQuj6pbM5/JvvfQ6vWyzDbsXKYuQnI9Ggtjs82vbiNK9aZTnNs3k7LF22FB6l6Q0eC87deigFhLHPSoTFBD9EYRcHkcceXfsNwdIli5EjswVZ85VBeFQkyuV1gkOu4giKorliwOIpn3L9v567hrmj5Idq32vZGi2aNoFzJvn4dcF6IQiFyIkOC4RHmSJ8bibPmIHRQ/th6BffcLuHtv7AeSuUr4bmonzDWlXhWtIdjwMe4Q0R75gzD9q3b4caVSpwvoLl3XE3IFSUjEe1Mm54p247rmdYl2awz5QVg4cOhaeHzLti6z5Ou3BkF4ftLI4YNWEK5kz/nMN12/bhdGtkMGpXKAY7+4yYOG0GPvt4IKcPnjyP04mvP5cras9cJj/mq96a0mg0Go0mrZNmR8IINbJ0+fhevlDPXr0Tl47+zP6FG/faLtZj+7UXcfa4LUTEp93fF6LBGf7h0TYh1K+VJzLlKYFoDgER/rf4ceaIKYs4vGnlPNjb2+PC7SDEx0UiXxYL/lPNE2Hqy7OCR0+e8LZh+UIo4N6Y/cStc0d5fxb9dy+H1Twz20hY6GNktdih1WC5WjSxY8U8LuP7MAK/7dvA/gUbfhEpVuTNkgFv13iP800f0hP2QmCFc0gITiG66lcoCotjTkSJ6g9s+I7L7jx20cghfnBLFkSL83J+/w4+pjb9PpUJz6x4EhSC+OgQZBXH3mvsVBkvOLZb7sPASVIcVSmZGxXrd2L/T1s3494TtQeRcBR1Dh43l0O+J37hNuaulyOBxAjvD4TocuZHuoe3Lud6tx2Wo3fEjI97sWgLsj5DXNhjvCEEdOkaTREjThv93ub5ZBpNeoVsl7JfNOqvbB2h0qSTYR45pjwyA8f9LUxlVN3K/6L8r+X/DuY21LEzpvi0hvmcJfKzT5NeSbMijP84xQWZJ4vzV/dzo3C5mmjhWQMOb+TGk8hYTqd8184cBH0Wo33PPjzK1GbgZ1wHfcKC6P1+bbxeujroARl15uigh3AQ+Yd9LkXHpuVyTtKV++EIfXiV/TOXbREp8YiOjrYZAOo3NCfsnRbeIiAfqflfu8D5FwiBSPtCIzmc1xATNCfsNSF6Bkz71mZsD29bw+Ll6IU7IkccyhbMjqJVG2HtEinOVv10jMtP/rA7v3zgFxpp24edqxZwnuuPI/DdF59wPXXqesLDw4MfWZJouxX+FJd+/ZHz7Tp1iduNtcr9soY8QlYR3/Hjz7jOmFgZX71YbpSt00b44lGtdB5UbtCZ44n42EisX7kEXdq1ZPE6asq3HO9riON1B89wXeRmf9JfxGURIgxYNGkE71/tuvWM/auBciWKin3MiIsPwxETcIvLbxTlqV0qz787nWiN5hVE/e3b+oDYmuda/lNkv5Jb1VcT4v+6fpXvn5Z/1TGfp8SiW5+/9E4aHgmTf5y2Cfrzp/IFm1zf0dM5B725x/OHnlnR1KOMTBei5eB5OSFfCYw+XnXgVKIaL1FBRAc+QEaR9+OJ8tHdphVfc1kSYWH+UoRNnr+W0+g7Z9xhOCRE2Dv5UbppJ1vHeXjFh/N/u+YnDtuMkyHCaCTMSQiX3hPn2soc3LySyxw+S/sJbP9hPoctFnsUrVgPEXFSXE4d0kscTwbcC40S9cpj2b5c7uvNgCh8P22kEDkW/HrmInwvX8a58+fh/ziAhevpPZs5376Tl7kuqxBhNMoUJ0QhibDOw8fyvqqv7Fcr+hbeqUePIIUIK5XHNifsxoXTKFe8MDwae2H9xg3IIfaRRsLohQXf4/u4jZV7j3Mb5KYP6y3istKvh6VTSCRasO/Uefj6yv27eu06AgKDEEvnSfxuK5YsQWiUNEj/HxcbjSYtIP/epY24etEHu3bvQTT1exGn+gHlUfMjj/76Cw4eOyntkNHX/jb/pEwi/r3+SceT1KkXpHxOHsWBoyfZLxI4Lb2Qno5Fkzxp+nEkoSboh/rfQS4nC88vOul7l+NIRCiRtn3FN+Lib8/fIIsTEVROzSnr17IeL1EhQzSP7CFeE2JixKT5HN68cp4QQBZcuBUoVFQUiuV0gkuRcrjx4DGnE6FhYdymXKKiqxErRNjVc1x24Vo5uT6pCJNLVNijnzFXi6D5WlTm2IVbXGdcTAQaVZPrZX1nTPInpg0VgkaIsBCjn1qjQlGvfFFkdHZDjIg7u18Krc9mL5EZBIcPHECUMOY+v2zjNvad8uV49ZiURNjrokzXTydymDi+ZxPXM3zmdxx2L+OGSg068751fLcynPKU43gilziWMTOXs//Ssb3cxur9hoEUzBzRT8S9CZJ2F4/I0biR0+TImeLY4cMIDI3k3y0yLAgXLl3heGqPnEaT3uEbIuNN6bG9WnI/6T5sLIfZppFdMNK3/yBfPirsXle+TCRsDJVX/UX1meTCamtbmic2Cl/NnIYtuw9xmrKvhMyXUF54EsWRKHr21IoFX83C2m17OIsqn5xTJI37s3TCdlx0fgxb+kH1EshcvBr76cPgSryqcqrsn4UVycUrvwoLT6Kwefu8+OT8aqsc38yL7enDezB56kyERckllei80lb8x1v2m8pq0jZpWoSpP0KzmHKr2IANker8akX36OCHvDbYzOXb+I+ZDJgq17F+eVhcS0CaNCDqyX02av1GzeLw2u9mcFhNzN/9XzmXiUbVWnzQErXcK6JIlRr8iK1aPgderFXxwPcM553zPX0qQxpQgvaPiAuVi7V2GjOTw8Qv65dw3CGfG/IYhWF7t3IxZM1XmuehqVGvGSMGcL4a9Rujf//+KJzLmcNLtwgDSEY1Lgb9OzXnuCIly8DrffI7IkLs6G/GPK9dx37numgkjKDzVNApAzJkcUaXHr3QtUMbzleoYg08CIoUOeLxdj4nEW7B+fu3aSjS7TFn/gKMGkSjXHYoJy4GG3f+gps+hzm8zFhagvi8X0cRZ8GTSHH88U/xYdcPOE/BEqXh5dUCeV2yirAj/ILoTchnaPBOfk7//e4jPhdJlwTRaNIj8m9d2oiJgzrBXtgu6gfTFq3hOBqBJ34/cYBH7SmtUoNmfCNJQoTsDJVXju2IUac5LP5jW2S1xor4Z8L23eO66nTox/XHxcZyXSRsktZnDqu4uPBA+amgBvJFKKvYT6vVKu2tycnRPLLPietlkUUpxv4pR9g+RyTCVGdMrJXzdm5UDbmqvsvl6ePfVL/cH1kPkbQdGkE0t0OY88p9fP4x874miSNnrjMhLqEuKkeo+vmciOORU1ueCRvZjn+Dyw+ecD2xIk2VTVqHuS1N2iTNj4TRHyD9UdL2zOFfsOln+aFXjqN/5Df+YFctXoSbD+UyExSnLuhL5kzGgFGf25aksEYEo4+3N1Zt2s3hEwd3wVuE7z6Sn0cifjt6AAN6dUOtWrXQsFFTfPXdSm73i1FD8NnshJGdEP87XHbPkcRLR6iRsGdRoejX3Rvfb5VtEb6nj3CZS/xGJXDcEExffLeJ06OjpQGeNqwvC8GWbduguoc72nTqjr1HTnEad1RRlu5sl34zB00bNUSduvV4CQs6LzfOneQ2Lt6QwlLtV0ywP3I7WFC4bAU0a9KIvxQwZvIMPAxSk+/jMXHMxxg7fT6fi0d+N9CvRyfUq18fX36zEGNHDkPjxk2x56gPQh7e5DYOX7xulAV2rF4C7x6DEB5DBky0a43C99/OxXuNG/H+9ew3CAdPnjV+m3gsmDYB7bv0QECoXJ5CGR+NJj3DNsrok+P6tuY3nN8pVVzYAQu2HjjN8YH3b6FErqzI6loIeVyzo1h1T2nDkukjym4p1BIxyfWnoCcBiIyxGqHkSa6cekwaHPgE4ZHqNac/58/6sllgKNS5uH35DKbNSRjZJzo2qAyXivWMUAK2x7Yv0E7S85Mcf7a/yfFXtT2vLmt0FPwfB7L/efv1IvusSf2kfRGmtqY/SJuftuz//7xb+HMh8K90CmEs369eFpnezGd72UBNoldzwtQKXorkjFgikolXhooeRzoJwdfT9HakIumcrP/1eJ9fPpl9/DfOr0aTCqG/dZsI6+0l+rkjzp87j1L5XkeGbPlw9uJldGwkl9LZL26sGlcvhTzl6eUiUfapFbu3bkTfHt3QtXsvbNwu38wODwrA1MkTsXCZuGEU0JxZ4ur5U5gi4rftk99YXLRgHnbulf4bIm3a9Gm4cv0apo8bhY6dvbF+u7xhPLhrG9q3aYn+Qz/BtbsPOS4+3ooVSxdiy08HObx43mxMnDgRk8hNmoyZM2di8uTJOH/Dj9MD/f3w1fTJaNOqNUaNn4Ibfo843mzD6DxQz7/tew5FczvDtUg5UdckfPHlXD7eTu9WQh6Pxjh+aD+6d+6APgMH46SPnGahzmFYkD/mzZ6Gtq1bY8SYz3Hllrz5TLDlCedbHvN0ccxXMfWzkeKYu2HDj/IcHvhpC9q3bokBw0biup/8HN75k0cwYvAgtGvXHt+Im/HIGDmKRmxbtxLfLl2DmMgwjP54MIaPGocL125xWuCjB1i1dDEfy+zZs/H5hPHYvPMAfj9/GvPmfYOwKNqfeCydPwfrdu7FwT070KFtW3w8egKuibYJHtHTdjFNky5GwtQfIf3hq1EvFU8pnCz+o06mJnOay1G86ugExXOcURfXS+mmsqqMSiNHmP2Eyqs6pbkOteUyRjrBQismhvfn6ukDbGhHzpLzseRwvqx/xsd9YRF3yH6hUVx/nBBnVBfV+Yf6TY5SqA3yq/PxzBgVJBGW3WKPLiPGcTo9plBD85KE+gjz8Sd2CUP1ZvFGjz4o7nn7J9M51RROyK/RpHdUvyAm9GvNNiAgCvA9tZ8f9zk60mN7O0xa8APnqVjsLeSpUJ379u61co6YW6EiyJGV1iC0w9erNuOpEF1TP+kn7cn0BVzuyd2rKJjdAfaOb+Lc9Xu8BA+lN/P+hNN3LJ3FYaecrmjQqDHeKVaAw61atURO1zzwrF+fw7lLlEdgpBB1QoQ52NuhutcALl+3QjE4OjnBOZsznBzlvrxRtAIeh0Qi4P4NlMjvwnFUj6PFDq+5FsJVegyn7JPYkosIeYJOHzTivJkzO8HVNRdKuNdhEdav1bs89/StvIXRuk0bvJ7BnpfpuXzHn8sGPfJDhRJuXLZefU9kzWiPDM65cPEWiShl2xNE6Y/L5DqQdMwNxTGXKSKnRLRq+QFcXPPZjjlvyYoIuHGe/Q7ZXFCskGyj46BReGrYqfa1KyJjFje0fK+x2Oe3OL3vuDl83gu84Qg7S0bkeFP+lrkKFMP8ZZswb9pIDvsF0Zywpyibz4nDhUuUQYsWzdjvWqySXLyazpNwmrRLmhdhhPkCnfRinTTur/yECidNN4fFf4nikzpF0rjktuZ0wmaAxB3te+60mGlm3A2MNOKl2CLG9+7AHfIerXkmykvhk7jOpI5ILk7NUaMlKqhOr4HDOY0MkxRgyZdX8X90SfNJ/izd7FQ+tWVn8ms06R36O1cibHzfVqJPWnDtXhCHNyz9ivtom36fcL949iwOVUvmFSKsJqf/tHYZFq2SUxeI0rmc4NHU+JSaYPSg7lx+wZIf4FWnvLAvGXHiMi2HI+qKDsZbWS3o+tEkDu9bt5AFzqL/7uAwYsNRMqcDLG/mx+3HIRy1ZTm99GSHbUcvcLiwaM+rmxRx1tgYxBhLAQ3pRo9VM+G40dbYAcJ+ZXTGXZ5rKogNhVsWC3p8Oo2DdPOn+jz5Y2Ij8Z88Tniv01CZbpyf7s1rImP2/Lh2P4DDV07/yvszdbFc4Hn6J735ce7VB8EcRnw03s7phNYDx3BQtaPm2v6ybhEf85JN8o32+OhQFMuRCRlyFsIdXrA64Tfwv+qDzybNQoyhg4Z0bgb7DLkQQm9GCYZ1od9O7Mv81Rw+cmAfHgdHYNqwHrBky4db/sFCHMeg2wcNUaWxXAB7/tRPRPtOeBBMovAZapXKi3xlqwvhKh/x7t2wlOvcvP8sh9V50KRN0oUIS2/Q3RnxNCYS61f/gF2HTnCYRBgZCymKgAunj2Pd+g2IUgvAirR/iir71BqNjevW4egZ+bUA9WKDRqN5eUhRIPv1BBZh9uKCHWrr+ytXLMVDmidp2IRqpdxQoGodFmUigvMEPX6AtSJfvqyZ0LBVH85nJcFhjUTvVk35Qm5nyYz1u49wfl5z0RoGZwc7dBo0geN2r5JrE56/99i2P17uxVHE+AIJxd3//SSv97d4p6hHtJH3zQxo1uVjTqeJ8sTRnzdyPcOmyBG4+Kex8CxbCA7OuTFk8GD06tULHw4eAmeLHVwrefK+yjcdpb0zrBOK5nYUImwYh2jCOuXrWL8iXKs14jjaH3qxikYLP5u1nNObViqBDE4uop0h3M6gj4bANbMFWYpXkcsSCRtHbSgRtucHKSov3g+0HXOzKkVQolF79lOc34VjfMxUP8dFR+CnbZvQoFpZOLkUR1Ck/J36ve+JjEKwyjE2mZcY0uk9ZC1c3ggBXwztIX6LLLwfC6fTSFhG3GcRBpTN64S63eUxU9t3L8rzvWr7QW6fRKQm7aJFWCpFdW5F0rBGo0m/UH9XAkA+jhQi7JFcBsc88sHCSUAjYfkr15YT84XAmT7uE+QrUBB9BnyIErmdUe/9nlxfTLQcTflm4nAWGhmy5cGFu3KpHbMI6zzoc45TguT4ldvcNrlWtcogr0cTKY5E+KbPEc6z9Cd6Czoe+bJnEiJsOJe3ihvEmNAAFM3hANeSVRESZeVFsp89s6J6EVe4lXEXgnI5Fn77LRYuXIjVa9fj4InfuKyo3NamXKbBKkSYHAkj4REZJV/W6WRMzFf7E/rwFouwcXNWcDWeJQsgZ9Fyop0VWLRQtvPDmnXYf/SkPF9GG0qE7V0t12U8ec2P48m9X/1tFKjZzNbGjTMHOQ+xccViFCmcH206d0PTupXh+GYRPImQo2s9m9WBS+GqeEovQgixZ+Vjf4ZLJ39F7jezwt2zMdq3kp/NGzh2NpeZO5l+m4zGSFg8yru9jhod+otycl9unJXne/WPh7l99XeiSZtoEZYKoY6mHHUwcuY4ckRy86v+KeY6VJsq/L/Uq9Fo/j6qHxIT+rfhRY1JhBGqf9JcIKnB4uFeOj/yVqxJBbFpsZzHdeSynPzevkZR1Gwmv21L7FovH2e17NQdRXNlQY7CpXE/UD4SfBYdguyO9ujyYYIIo1GXk9fvcpj2q1XtssgvBImyCrfPHeU8UoQB+V0c0MJbTmcgPv+oO+wzOOLsTTnpXtHLqyYyuRRESJKBnLCQEEN0kaPReDkSRiKskKsD3jNG2RSdGlSFa+V3bfsT7n+bv9wxdrZcr/DDDo1gcXKFvzE6pQhP1E5iEUbHc/qmnLxPaV41SqFwXS9bG7T8DuUJuHmRz+X0pfLx75qZw2GfKbdtzclezesipxBhsh05v41+O3p5YkDX1sjhmg/vf9AKi1asQbgQqNQWzQmzt3cwRBhQoUA21Oo8iP0EfQqP2tYiLH2gRZhGo9GkMuhirR4zjekp1/q76S/nI6mLLl/QDV1RvnAOvPl2JfbPGikn3/98+Dcc3b+bv01b2r0hTp05i98O7QF9wq2CpxcLBfruLo0alfBohCcR0Yi3hiOjEDDt+spPu/28Qs59On5VzuMimlUtCpfKDYwQCRI5MrPoR/lYM4cQcfVbD2T/sd1yweis+Yti3PjxGD16FIYPH47D56/i+rljnObwZh5MmjYTX385CzUqlUXd5t1Y7JAoUqM/cvL5MzSpUhx2GbJg6dLv8cngAThy6gJ6t6iB10p4cHtEmP8trnf0DLmUxTWfo7yWmsXJBRO+mIZ5X32Jeu6VULVeG1G3qJXbofMtRc+ulfIzdSev3+Mw0aRiIeQyfRP4xhk57+zaCflpti8WrMCFs6dRs1QBIcKyY+OO3YiJe4qe79XEa7nK8IgbjYSxABONBt+/AQeLBSMmf4Voa2IR9dXkYaJOe9wPko9y33bJgKpt+rCfUCNhq7bJN1D148i0jRZhGo1Gk8qQIzPy4vzV2EEoVKgo/J7IxWjU23CUx3gaiZaNaqJmi7Yc53/zMup6VMQb2V3g1bodWjZviuzZs6Nnv8Fo7lkDZavWw+3AMFI5XHbvljXI65oTQz+fK+p+igolC2Ho+K857dCW5aLtQjh3+wGHif7tmqBm255GCLjne4bzrP9VPkasUakkeg6fJkRHHNo0qS3SCqNwwfxwzOwA52zZ4OjoiLnr5aT3fTs2wKNcSZ4InyFDRlSuUQ8/HTxhO36xoQO1iZfzJw+iishPI0E5crvh7OXbGNO/A6o078j1EZEB91BM7M8cY3SKOLpvB2pVKcvtWEQ75arVwpY9h03t0FaKmUNbV/DxXLgjl4Eg+rRuiNrtE4TQ3UunOE+8NQrd23vBKWtW1PJsBG/vzsiZ0wXunh8IERaPsX06oVIdL+OxpxwFI04d2A3X1ywspsgVKlYKX3y5AFbxg65YMBUFC5WCf5jcn/dqlkfbofJrCYTfZXm+t+xLWBNSk3bRIkyj0WhSGSQKyBF0kaUV4lVYeIwN5WEvj4bQ0jUJeZ4iNFQ+viRCQuQoWhTNo2KfLE8jQAS1ER4ewY/NaERIXdjlavqmtgWqLQWlUR4lDmn1d/mm9jPRXjSnqW/TKmdum4gID+e8CnN75v1lhFAMDg6WwkbAbZuFiMgn90Edwwu2Y/hf7JifcR5FWFiYbX9CguVbo4S5HO0P1el3xYeX8fDq2Ae/HDyIn3/chgE9OrEYm7RoLbdPvxP9FgT9HuZ5gKptsxjXpF20CNNoNJp0BIsck1+NliWQIIDoAm4WQy8bFiaGn6B9UeKJ9o30hdzKXCRQzCQnQP4YowSQERCoZYDYb6r/70LlEtZBTBi9pMbMdZJPPTY8uUe+KXrgQsIjXrGHcM1sj0a9RsgQ7W8K/i6al4cWYRqNRpPKMAsD5TeH1dbw2tLNjsVYMn7pktbzR5c0TfFnYRVnDr+o++P+SadIGp9cfkXSOHOYypkn4yun8qmtOZ54Xpi2yZ1rlcaO/NS2cNFhT9CwahnYWTLgvQ9aoUP7tsjrkg2WTFnw8zEfzk8jX0nrUKiwOV2TdtEiTKPRaDSalwCJMCI2MhSrv18M704d0b5dO3z2+RRcvH6b01jEsU/zKqBFmEaj0Wg0/zIvMnKlRJrIpEe4XhG0CNNoNBqN5l+GRJV05Jdz0hI5GgGz5dEC7FVBizCNRqPRaF4aCSIrQXRxUIuvVxAtwjQajUaj0WhSAC3CNBqNRqPRaFIALcI0Go1Go9FoUgAtwjQajUaj0WhSAC3CNBqNRqPRaFIALcI0Go1Go9FoUgAtwjQajUaj0WheOsD/ARGkeYDSppYHAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 1, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./svm.PNG\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 두 초평면 간 거리\n", | |
"\n", | |
"1. Positive Hyperplane 위에 있는 벡터 $x^+$와 Negative Hyperplane 위에 있는 벡터 $x^-$사이의 관계는 다음과 같이 정리가 가능하다.\n", | |
"$$ x^+ = x^- + \\lambda\\omega$$\n", | |
"\n", | |
" **\\*즉, $x^-$를 $\\omega$방향으로, 이동 폭은 $\\lambda$, 평행이동을 시킨다는 의미이다.**\n", | |
" \n", | |
" \n", | |
" \n", | |
"2. 이동 폭인 $\\lambda$는 다음과 같이 유도가 가능하다.\n", | |
"\n", | |
"$$ \\omega^Tx^+ + b = 1$$\n", | |
"$$ \\omega^T(x^- + \\lambda\\omega) + b = 1$$\n", | |
"$$ \\omega^Tx^- + b + \\lambda\\omega^T\\omega = 1 $$\n", | |
"$$ -1 + \\lambda\\omega^T\\omega = 1 $$\n", | |
"\n", | |
"$$ \\lambda = \\frac{2}{\\omega^T\\omega} $$\n", | |
"\n", | |
"\n", | |
"\n", | |
"\n", | |
"3. 마진은 positive hyperplane과 negative hyperplane 사이의 거리를 의미하고, 이것은 $x^+$와 $x^-$ 사이의 거리와 같다. $\\lambda$ 값과 둘 사이의 관계식을 이용해 다음과 같이 유도할 수 있다.\n", | |
"\n", | |
"$$ Margin = distance(x^+, x^-) $$\n", | |
"$$ = \\|x^+ - x^-\\|_2 $$\n", | |
"$$ = \\|x^- + \\lambda\\omega - x^-\\|_2 $$\n", | |
"$$ = \\|\\lambda\\omega\\|_2$$\n", | |
"$$ = \\lambda\\sqrt{\\omega^T\\omega} $$\n", | |
"$$ = \\frac{2}{\\omega^T\\omega}\\sqrt{\\omega^T\\omega} $$\n", | |
"$$ = \\frac{2}{\\sqrt{\\omega^T\\omega}} $$\n", | |
"$$ = \\frac{2}{\\|\\omega\\|_2} $$\n", | |
"\n", | |
"\n", | |
"## 목적식과 제약식 정의\n", | |
"SVM의 목적은 마진을 최대화하는 경계면을 찾는 것이다. 계산상 편의(루트제거)를 위해 마진식에 제곱을 해주고, 그것을 역수를 취해, 최소화하는 문제로 바꾸었다.\n", | |
"\n", | |
"$$max\\frac{2}{\\|\\omega\\|_2} \\to min\\frac{1}{2}\\|\\omega\\|^2_2$$\n", | |
"\n", | |
"여기서 제약조건이 붙게 되는데 \n", | |
"\n", | |
"\n", | |
"첫번째는, positive hyperplane보다 위에 있는 관측치들은 $y=1$이고 $\\omega^Tx + b$가 1보다 크다. 즉,\n", | |
"$$ \\omega^Tx + b \\ge 1$$ $$y_i = +1$$\n", | |
"두번째로는, negative hyperplane보다 아래에 있는 관측치들은 $y=-1$이 되고 $\\omega^Tx+b$가 -1보다 작게 된다. 즉,\n", | |
"$$ \\omega^Tx + b \\le -1$$ $$y_i = -1$$\n", | |
"이것들을 한꺼번에 묶으면 아래와 같은 제약식이 나오게 된다.\n", | |
"$$y_i(\\omega^Tx_i + b) \\ge 1 $$\n", | |
"\n", | |
"## 라그랑지안 문제로 변환\n", | |
"**라그랑지안 승수법**은 제약식에 형식적인 라그랑지안 승수($\\alpha_i$)를 곱한 항을 최적화한 목적식에 더해, 제약된 문제를 제약 없는 문제로 바꾸는 기법이다.\n", | |
"여기서는 목적함수와 제약식을 한꺼번에 두고 계산하기 위해 사용한다.\n", | |
"\n", | |
"$$min L_p(\\omega,b,\\alpha_i) = \\frac{1}{2}\\|\\omega\\|^2_2-\\sum^n_{i=1}\\alpha_i(y_i(\\omega^Tx_i+b)-1)$$\n", | |
"$$=\\frac{1}{2}\\|\\omega\\|^2_2+\\sum^n_{i=1}\\alpha_i(1-y_i(\\omega^Tx_i+b))$$\n", | |
"$$\\alpha_i \\ge 0, i=1,...,n$$\n", | |
"\n", | |
"\n", | |
"## 소프트 마진\n", | |
"위에서 설명한 SVM 방식은 하드마진이다. 하드마진이란, 두 개의 클래스를 분리하는 분리초평면을 매우 엄격하게 구한느 방법으로 모든 입력 데이터들이 이 초평면 사이인 마진에 존재하면 안되고, 무조건 한 클래스에 속해야만 한다. \n", | |
"\n", | |
"#### 하드마진의 단점\n", | |
"노이즈로 인해, 두 그룹을 구별하는 분리 초평면을 잘못 구할 수 있고, 최악의 경우에는 초평면을 찾지 못할 수도 있다.\n", | |
"\n", | |
"소프트 마진 방법은 기본적으로는 하드 마진과 비슷한데, 여유 변수(Slack Variable)이란 개념만 추가 되었다. 추가된 제약식은 다음과 같다.\n", | |
"$$ y_i(\\omega^Tx_i + b) \\ge 1 - \\xi_i,\\ \\xi_i \\ge 0 \\ for \\ \\forall i$$\n", | |
"\n", | |
"-> 서포트 벡터가 위치한 경계선을 두고 $\\xi$만큼의 오류를 인정한다는 의미이다. 이때 마진 M을 최대화하는 목적함수는 다음과 같아진다. \n", | |
"\n", | |
"$$min_{\\omega,b,\\xi}\\frac{1}{2}\\|\\omega\\|^2+C\\sum\\xi_i$$\n", | |
"\n", | |
"\n", | |
"\n", | |
"여기서 C값은 여유를 주는 것에 얼마나 가중치를 둘 것인가를 정하는 계수이다. \n", | |
"\n", | |
"\n", | |
"C값이 작으면 마진을 최대화 시키는 목적함수의 비중이 높고 제약식의 비중은 낮아지기 때문에 마진은 커지나 어느정도 오류가 생길 수가 있고,\n", | |
"\n", | |
"\n", | |
"C값이 크면 목적함수의 비중이 낮고, 제약식의 비중이 높아지기 때문에 마진이 작아지더라도 오류가 없는 방향으로 초평면이 생성되게 된다." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<IPython.core.display.Image object>" | |
] | |
}, | |
"execution_count": 4, | |
"metadata": { | |
"image/png": { | |
"width": 500 | |
} | |
}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"from IPython.display import Image\n", | |
"Image(\"./slack.PNG\", width=500)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## 비선형 분리 case\n", | |
"현실에서는 선형으로 분리되지 않는, 비선형 SVM이 많다. 이러한 비선형 SVM은 선형 SVM의 확장을 통해 비선형 SVM으로 만들 수 있다.\n", | |
"\n", | |
"\n", | |
"원 데이터를 비선형 매핑을 통해 고차원 공간으로 변환한다. 하지만, 이렇게 고차원 매핑을 하게 되면 MMH(Maximum Marginal Hyperplane)을 구하기 위한 계산 비용이 많이 들게 된다.\n", | |
"\n", | |
"\n", | |
"이를 해결하기 위해 커널 트릭(Kernel Trick)을 사용한다. 커널 트릭의 원리는 데이터 튜플을 고차원으로 보낸 뒤에 백터의 내적을 계산하는 것과 내적을 한 뒤에 고차원으로 보내는 것의 결과값이 결과적으로 같다는 것을 이용한다.\n", | |
"\n", | |
"\n", | |
"따라서 커널함수와 벡터 내적은 다음과 같이 표현가능하다.\n", | |
"\n", | |
"$$K(X_i, \\ X_j) = \\phi(X_i)\\bullet\\phi(X_j)$$\n", | |
"\n", | |
"즉, 알고리즘에서 $\\phi(X_i)\\bullet\\phi(X_j)$이 있는 모든 곳을 $K(X_i, \\ X_j)$로 대체할 수 있다.\n", | |
"\n", | |
"\n", | |
"대표적인 커널 함수로는 다음이 있다.\n", | |
"\n", | |
"$$Polynomial \\ kernel \\ of \\ degree \\ h: K(X_i, \\ X_j) = (X_i\\bullet X_j+1)^h$$\n", | |
"\n", | |
"$$ Gaussian \\ radial basis function kernel: K(X_i,\\ X_j) = e^{-\\|X_i\\bullet X_j\\|^2/2\\sigma^2}$$\n", | |
"\n", | |
"$$ Sigmoid Kernel: K(X_i, \\ X_j) = tanh(\\kappa X_i \\bullet X_j-\\delta)$$\n", | |
"\n", | |
"## SVM의 Subgradient 계산식\n", | |
"제약식을 포함한 하드 마진 SVM의 목적함수는 다음이 된다.\n", | |
"$$J(\\omega,b) = \\frac{\\lambda}{2}\\|\\omega\\|^2 +\\frac{1}{m}\\sum^m_{i=1}1-y_i(\\omega^Tx_i+b)$$\n", | |
"\n", | |
"그리고 이것의 subgradient는 $\\omega$와 b로 각 편미분해줌으로써 구할 수 있다.\n", | |
"$$ 1 - y_I(\\omega^Tx_i+b) > 0 \\ 일 때 $$ \n", | |
"$$\\bigtriangledown J(\\omega,b) = \\lambda + \\frac{1}{m}\\sum^m_{i=1}-y_ix_i \\ ,\\omega \\ 편미분$$\n", | |
"$$\\bigtriangledown J(\\omega,b) = \\lambda + \\frac{1}{m}\\sum^m_{i=1}-y_i \\ ,b \\ 편미분$$\n", | |
"\n", | |
"\n", | |
"$$ 만약 \\ 1 - y_i(\\omega^Tx_i+b) \\le 0 \\ 이면 \\ 미분 \\ 값은 \\ 0이 \\ 된다.$$" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": {}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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