{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Representing an Artificial Neural Network as a Cartesian Genetic Program\n", "(a.k.a dCGPANN)\n", "\n", "Neural networks (deep, shallow, convolutional or not) are, after all, computer programs and as such can be encoded in a chromosome and represented as a Genetic Program. A dCGPANN, coded in the class *expression_ann*, is exactly this: a feed forward neural network represented into a chromosome using a Cartesian Genetic Programming encoding. Derivatives with respect to weights and biases can be easily extracted, the underlying algorithm being backward automated differentiation. Unlike other dCGP expressions, higher order derivatives are not available (no *gduals*). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Initial import\n", "import dcgpy\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from tqdm import tqdm\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Instantiating and inspecting a dCGPANN" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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hrZ1Ub3cJoi+n8eGAMzrGQTq2CUaC+dO/f/qlB3cf3HDSkpOCV993daGnrucnV5121Uf1PEW9XoN49RHEy69XO1PW2tReuMV/hfXr10fi8fia+vr6hdFoNDQ5OTljrb2gu7v7O/vi/M8EIyPE83k2xeO0hsMEJyeZKZU4q7eXn1fatl0xODjYWSwW1zc2NsZDoVBgYmIiA5xSzbVJnq8whq8BP7OWW/X9F4A7reX/KmuZ4LmoUTcgXuckQoRuUXHyg9/44FG3brp14bde961AJBjhgPYDQm+47g0HmqA5zhatRcj9YERPXo8QbRwphzqN6MlHIZLJfGQCGMSH8YWMMQVEP55FpJI00KyZjT2I9zuk+0cRkp4HHIifAArHv+X4lXmbj//rK/41EDABeht7Q+ffdP7pSAp5TO1B9fdRhKybEC+7Dmg0xkSAcdXk9xoaGhpeGwqFOpqbm0MAxpj68fHxfwWqjqgLBd4ajVLX1ISTiOonJ7kUqo+oi8Xiu+vq6qKNjY0BgFKpVJdKpS5BopVq2Le4DviEMRSQ//tDgH+rrEkezynpQ2tONyDSwYzKA/P049F8Mb+grb6tGAlKJnZ7fTslW6KptWkxIiFMIgTYW3ZcHiHAHOJZB5FSqCOIF9uCeM1BhIh79X0fQtLoWE7S2IZ44Y6kM/isyJyef6Z+Xn1jZ32nDRj5Cnobe5nOT4f0+lrLtWi9zlG11SX4TKp9HUrYew2BQKA1GAzuePQKhUJotbdqRFswyA6ZKiSuyLzd7l1BBAKBtmAwuOO7C4mxHZWz6IULa7kT+ApwJrASeL+1O/6/K47nmkftQtgyyCJiHSItpIBMXbjuvsH0YDCRStDT2MMDiQdoibYUJocnk0h0RREhykaE6NYh5NeCRIv0G2OakBl1GvGslyEe9P2IbNKIkOkEQsStOsY6RAt30Scpa23KGLMEIf4p3T4J5EY2jTw0OzF73ER2gpZYC3/q+xPd8e40QvLtSESJi+F2kSVjer55yALliL5vN8ZMWmt3pCPvYTyez+eD1lqMMWQyGYs8kVQjHs/lKFhL1BjIZCggserViMdyudwM8ndBJpPJW2sfrrBNL1hYy23AbZW2Yy48pzRqTcFuAUattSNabKcd2Or02g/d+KEb16bXvv7FPS/mzr47Ay3rW37588/+/E7gPrzWewgiT2xFvOgAImU8oBr0IiTyA7R8KhKQnlKNvF3H6kImuy3AJuQfrg3xrA1CqMv1ZwzRw8cR73zpu77zrrcOhYcOOLzrcHt3/92cuOjEd606edW1iOeeRSYWlyyDvs+rTSWEqGf1nsT0mIm9IYUkk8kfGmPeGA6HbTabJRQKndDZ2VmNpGKSSX4dCHBCKATZLIVgkKO6uqjG7MRgMpn8UzAYPCgQCNhcLpcJBoOHdHV1DVXasBqqC88ZolbvuRMhrUGEDPdDiGubtbaoEsCB533rvGNng7N/f9c1d7WuuXvNIwjRrsGHyK1EiHQ74p07TzWFly0iiEc9gpBtGnhUibwTIfsiQvYNSESH85inEA/YxVAX0eQVPccrdL/sS8966ZkrX70yOfjA4A9++R+//JW2BOoEitbaUb32MDvHcQfxj/OD7Fxju4Do1rN74LaXwyQSiVOMMcsCgcCPOzs7B/fw+HsSgcFBTiuV6C0WuX7BAsYqbdCTIJhMJk8vlUrNkUjkuvb29qp53K6hevBcIup2hJzSiBfcgRB3v7V2XPdZjOjNTyCe7SX6fgqf7JJHCG+xbptEiLoH8Uw3IbJGDi+RRJFojkGEaOcjRI/+LCKyzAwijwwiC5e9iFTTrD/RcXqA/wP+Xs9xodozaK0d0homjUByLu9YiTuGr6s9qddl9DwFYHgvSiE11FDDPsRzQqMu8yiLiAfsanPMoAt6ZXr1iHq9IwjpHqL7tyExzg0IkU4hXm4c8Zg3IKF5W1SrdkTbhHjv9Ui85AwS97gVIe15atfDCGHGdZvLPnR1OkKI9h0GHkUmgk4dK6Pjxo0x44iE0ah2z+x6P9RbnjXGTOMrAbq4brfAOs8YM4U8EeSQAlN7NTqkhhpq2Dt4rkR9xPEa7HTZ+yklZYN4l0V8c9sCQtRjCKF2IqTrxosj8dhR3WcMIfBuY0wHQtLNOu5+iNywAZFDJpEoDKdtg6a0a5p3nW53ndF7kMmghHSYGUY86CCwRm2dQUi8XonYJfLsFkq8I3pfYnqdCeTJIanbFiJPH93GmA5jTJMxJmbKihLUUEMNTw1jTIsx5vxncfwdxpij/5Zjq96j1jA1R1izCLnFEQ/SPdrHERIe0u7jDhuRRJcAsvA3X4+bQq59EiE0EM/bRXW06naXYNKGZButRQjXLWLO4gtAtQItGmftIkECep5liKe7Wn9GEPJP6TYQr9ciRV+mEPKNG2MCT+YJW2tL+vTgFjhH9R4kjDFjiHcdUVst8kThyjSWF5h61iVda6jheY4W4Hzg6/v6xFWvUateOw/xRscR4mxFohsGNbZ6CeIZb/jsZ+3ijRu5cWiIJfPn5x+69tplv5iY2J4HjkE87o2INu0W+2KIJx3S8bchxPuwjrtD80UiRQzwIoSsnYc9ofstRKJFZhCS7kEWLnNI+N6I7jMLHHbIiYc0vvgjL37laGa0Z1Hjojt//OEffzCxMZHBF4Lq0Ov8K/ljjvsURIg6iCdrt92R9TS+lGr54qRDeYGpnYj7ij9ecdLa0bXfn8xOti2dt/SXTdGmf7jsxMuq8o8nkUocDXzNGNNtrb2yp7HnKpizElrFkUjwcmO40lqajeHT3d18r9I21TA3jDHXIanha4HbESdwHvIk/P+stT/XdbKbgTuRinr9wBu0DPMdSGr6SQjpn2utfVpZqFUtfejjeQN+wa6ElxWcN92EeIgjl15qZx96iDuXLWPl5z9PXSgUPub1r7/nPERmyOL13F7k2ieQNPEssgDpPNkocpPDiHyyRvd3i4IjiFQS1vcdeA86jZBsHPHii4g2PqrX0QK0ReoiHUves+SdR/UcteSzr/xs/XRx+pVv+tKbvokQbYPKH0WeQv5w0JTzUT2mzdUmKdue1nvZDhSstSlr7Qgy0bjPQZ4o2hCppN0Y03j+N8/v/uPWP9588pKTF3z6pE/XD6YHz0jn099/OnbtayRSiXaLva0p2vSS1rrWRQET+EwynXxnpe2aC4kEi4Cbm5s5srWVpcDVySSnVdquGnaLTwAbtUrehcCbrLVHIcT7pTI5cX/gamvtwQjHnFE2RshaewzwEeDSp3viapc+6vALZFmE/KIIqcwoGbXpZxPRKC+fmKD1oosIBgJw+eUmeMopPfsFApHGUimfQHTqBkTWmNVxXLbfMoR8j0ImhBxC3mGEoMOIdFJE5I4EIl8EdN/lCMllkS/KfbYBCQPM6fH1QPiYNx6zMhqOhj/w4g8EjDFc+opLg+f8/JyXoxNPmeTToE8Nz8QjbEEWE8eQScPBIJNKhzFmUm3aFS4qJqK2hGzUvmdB04LgOw9/pwG4+KUXB//19n89A3jHM7BpX+GMWCgWbIg0ANAca64fz4x/FKrSU317XR2hOp2Km5qon5zkn5FaNDVUNwxwhTHm5QhfzEccM5BGJg/p739BHEWHn+5m+5Oiqj1qhJhDCNnM4iM/ZlS3bULIbMxamy8UaG9uphTQq2psBGshHm/bjkgem/FkP6vHFxEijSBSxzz9rJ+/Tj2OIYQ9hV9QbEFItB0h4V6E+IOI553QY/O6LQ8UGtoaCi2xlpKbhFvrWskVcuVRInV4In0mHdJLapdVO8on4xze627RezEXXKr7NJAvlArtLVHfw7Otro18IV+tk3xjwAR2pN9riv7urrPSaAoEfLp7IADG7FjwrmEfw6wyp5lV5vtmlfmKWWX2f4rd34Y4PS9SD3sQ/39a7gAV+ev/wbm2Pymqlqi1lGcIIZwCvhltFpjWIkiuDscUQCzGn4aGbHDjRhnj97+Hjo7C7NRUIoh4u9sQEnZlSdPsTLxRJMtwTM8TQogto8etRfTtWZUNViOEvkSPH0eI2iKLjxsRvXpEz1ePaN3xLX/ZsnHD2IZgIiU8/psNv7E99T0pvJbsao+MANPW2pFn8BpCNPFRvZ2TZZ8N6mfbkUkDfL3sND5apRF5kmgZXTf64EODDwUmshMA3LLxllJXvMtNQFUFY8z92UK25OT1zGwmj+G+Cps1J4zh/myWGbcSkMmQtZY/V9aqFybMKnMy8F6k7+HdwNfMKrNrPZsU8n8B8r8xpFFnJyGht3sN1eoVwc7atCNqJ4EUEW8xhiSJ5AAuusgMvv/9m//n3HMXnb1iRam0bh3B+vr//F+E/A5ASNZJHb0IWR2E3PxhhFSL+PTvEvIF5PW847pv3BiTsdbmNO65A5/YktP93MJdVO0MIYuLY0DX2j+tTR/6ukO3vP2nb1+ypGVJYfPEZhP7S+wryCJlXsea1fPWG2PMM4nK0ExNV3WvzRgzomGAriJfCi+FdKm9Vm0N4qNExm/8/I3Xvu9/33fGW65/y3ELmxYWt6e225OXnHzm07VlX6I73n1HMp28fnB68K0BEygWS8V0MBD8UKXtmgvd3fw4keCdQ0OcBJRKJQajUS6ptF0vULwZuNJeau8F7jWrjNOef+Z2sNaOGmPuMsY8ipSkOMAYcz/wELKOtddQlVEfWk+jU986j7oBIbBRhPS69LMBR9Rao6P1wgu31KdSmTf/8pdnN2/ffr9LKDkcvxgZR7zrBxEteRKZRQ2iG03iq5iNI1/EuBKcIzeDeLvH6piH6c+/6PnqEJI1av8BiOc9gzQV2Ax0Hf6aw0MnnH3C5nW3rbv21u/dGkcmghHdz+LJvl+bFfwt97JN7XBhiVHY8cjtPo8gHsN42fYC4mVHgZe89gOvffGKV6ww919//7V3/fiutdUczpdIJ14cINCTKWRuWdyyeC4tvlpgBgY43hiae3r4DTuvKdSwj2BWme8DX7KX2kf0/ceBhL3U/rCylgmqlaibEZkAhFxd927XLqsTkT1GVIJwxyxF0q4TWgXvPQjxPY4Qcju+y/g8ZBZci3iT/UgEyAH63iCLgmngdyoZOPsiCFkv1bEssgiZQuSOND6b0aW9H6/vXeGmIT12NfAN3X+lXpvFl2QdRzzxPPIEMP10CFInFBeCV4d46iATnZtAQvhU+PKF2wzyZDCh25brfRlEJqJWvfflMes11PCchVllLgHS9lJ7lVllYsCPgM/aS21VyGZVJ31ohEM9QhgBfblH8TTiDbu6Gi59PIhkGTpdF/1sE3AEsmjoaki34zu75BAia9DzTCJkvRwhyCE99gBjzFAZQRYRQu3VY7oRwi3q76MIyZaQCaAbL2m4ruezCPEOugJKxpgEPnuyiDw1OJtcZmVcZYuZcsIuI2ZHzmE8CeeRJwhXZc/qq4ivmR3TczTq9mFrbcEY04MvLTuC17VjZb/XUMNzHf8JfMesMgch/6v3VwtJQxUSNULCBiG5gP60+tNptwGkG7BrCLsAIah1jrw0Y28bQrpRPIlO4BcUOxACm0RI8HCEWF3z3EcQr3kJkDTGrEcmjQ61I6avMcSTdv0XFyH1qwtqd7eeb1rHDiKTRgHxUh0m8AWi+pEJZBni+ZcvfjYjhJ3Dl0KN4InZxZm7CaFO72sB3729T4Pww/ig/Qk9bwtS49qVUHWkPqL31YXw1VDD8wL2UjtmVpm3IlLmuL3Urn6qY/YlqpGonbcbQgjNkbQr+O9qfqRgR+ZiK7ICu2u1uGHEC2xGyDWu47hH+vkIkT+BEK2ryeGiTebhPdGV+AW3HsT7nFR7U3gy3qT7z9fPQYh7CCHaJsSTTup+25yxSoLbdfy4jrUC8dzzel9mEFJux4cruogTl1FY0qiZer1frnWYq2fSCjRp5EydjjHmJj5jzLBe+yL8JJdFo2v096anSm+voYbnEuylNg/8odJ2zIWqImqtgOdkjjBCEO7xfhYfGpOz1mb1cX8/xHMcAPjc5zhu9Wpu7Ouj45xzCpt+//tXX7Vx4+0tOm5Cx+tEiDmDEOzhun0UmRRC+LT01cjC36EIWaf0M7c4B35hbkSPzSC1Qxp1vwgS9rccIdsNQPxlL3vZi3p6etV9tKcAACAASURBVC5/xSte0XLggQc+smLFihN1zCGEiIf1fZfan0MKLjnZxOJljjp9Hym7jyWE2GfK61MbY9LIomkALfVaTrhK9C6euwS0v/3tNx2RyfzdL048kYbzzy/e+5vfvPptGzb8zjX3rSoMDHBKIMA3SyXaAgH+q7ubC5HrqDokEokzgP9AJtUv9/T0fJoqTXevoXKotjhqV2Q/iI86cItbjQgh5VBvGi95bLXW2m9+k9C993LLSSfReeONBObPDyw97rifXIJ4nNv1mIyO2YUQ82MImR2DeN2DyALjJnw3mDa1rQMh66UImYJ4xFl8V5c6fPZkOz70LYMQ/Djw69bW1nh9ff07Tz/99Hk33HBDoKGh4ZANGzb8Bh/d0oIsZjqydU8BrpbHpFbqcxEiLchEsEjv3Riif0+WaeABIx3UXZPccXaWTND9Inq/08DQypV/Nz+ROPXfzj2XpuuuIzg7G3jxKaf84ls8s0ScfYKBARYaw09bWljU2Uk8EOB9iQT/XGm75kIikTgI+J/W1taejo6O5kAgcHEikXhbpe2qofpQNR61kkMEX4u5hPduy0t+FtSbdnUrRpzkMTzMyfk8deeeizEGPvlJEzjxxJbuSKQhlc9Pu/FdaysX0xzGywrtSOjcE/jFxiDitc8CpyGkeJfa6LTgdoQoFyLkH0QIt6THTiGk24zUop469thjj21ubjZnnnmmAbjoootC//iP/3g04t0bhOznIxOCuw+tSEGoBVqL2jUQAF8LJabnWYgkBpVnN8Z17Gl8WdUWYIkxZgLvdbYiZD4NRI866iOnNDdb+9rXyocf+xihj3+87gSqUKcOBHh9JAIxvSvNzTSMj3MO8KWKGjY33lJXVxeORuU2NjU11U9OTr4X+EFlzaqh2lA1RI3vLg5CKpMIqeSRx0IniaRU8nCJKNvLxqivr8e60ijRKBgDsVhLWz4/ncY3x3Ua+AK8R5rT7QUkCWYAIfQ44s268qol/awL8b5dgacwnrjm4ZvRLtXPliFkuhbYv1QqtdfXuwhEMTyfzxu8/OLOHVWbXMsw1wk9j0wAaWRyK2+9FdH72YyPninpOFP4NPVZvbYWfU3ovY/ocUGgy1riDQ3lNxkKBYnIMcaE90Lbr78Z1hINBPyTojFgbfV5/opYIODT3bWcwNMqwlXDCwtVQdRlBYicxOFIJYKPoy4i3nTGGDMfLWtaHqIWDnPX6KgNPPSQ4Ygj4MYbS8yfX0rfc0//FnzauMt0dOQ0oNsa9NxrEUJfiBDdJEKMjcBP1JalOhbIhOFSvV3yiNOZXTJNj/6+ASHWztWrV+cymUxgw4YNLF++nBtuuKG0ePHiobvuuqvPWjutWYUteO86gq/TMYNfFB0vi34pv6cGL70Edd/B3ewbQXT7MBpRo9dQAnpHRu797eDgq149MAA9PXDDDba4YMGOZrExdp4kKgpjuCubxZZKUjtjepocUpKyGvHHTCbzoXg8Xh8IBJienp6x1v620kbVUH2oioQXTU5xERnzEVLJs3NChsFnzR2ARCls3WWc8D/90yNXrFt3yEdbW0tMTZWMtZ+78rbbPvVThHTbkEW0CPJ4XwD+iHiPTQixjSIhal0IIfcgRDkOfEvPfRDwZ7W1CZ+lOIV46eNq+/7IBLES0bd/B9yKVJ3rft3rXrdoamrqwNbW1lI2my3Mnz//jddcc80j+AU6F+7nGuNuQYg6jJBjSH9Olke8KPG24Bc288hE5PZP6bW7CSCqL9fJxlXWcw0O1p5zzmNf27jxgFc2N5uSMaVca+uvT/7ud0/bhGSkj8zxtVYMg4NcUSrxz8ZQAjbncrx00aIdE2tVIZlMfsNa+w6tELC6UCicuHDhwr+aTGt4YaPiRK2eXxdCJnV4L7cOH0/tQvSGgQN1+xqttVw+1lKg8UMfemBydHTgH37607NflcmMbwR+ruOXkMVB5yHHkHjnNchCXzNCvFsRHXo+cKZuW48QbQg4UW2cQkjzIDzxb1V7xxDib0RC7AKI5z2KpJsPAemDDz74idNPP33iuuuuu3f9+vWTCDl24L3bCb1e57m6jMYcPpuwhJCvC/9zi7KTZSF3QfxkVYcPeZzRe2ORiaFHb+cmfK3vELD41a9eNX7ooe9s+d73Trx3bGzLNH6ymLMJbyWhi4qdPT08QJVHUQwODi4BGru6ulwHoBpq2AnVQNT1CDlPIXJDFiEnpwfn8ckYrofhJmvt5C7jzEO85QHt/BIDrkImgd8h0RnjiHc7X8ftRYjzHt2+APEmtyLE3KBjLtD9I8hiYJPuP4RMHu3ODH2F8VmUy/R4g4QHumzIMT3+Z4in3KH3wXmnEb3eAT3WtRtL6vsxfJw0OmYIX57U1ehwHrPTQp3+Xa59Z/H9I53MNIVo7U36cxrpejOmtrrxLBKFUnVhejXU8HxBNWjUcXz2XASfkecWD10FPefxjc9B0i6FfNrV5NDIkNWI9tqO78DiYq47ddw25D4k8E0I9kM8y8cQXdlNIi9BiPtGPdZFVKxFYq0tcKSO06371ukrgXjvi3XsQWTiaEZI34X2pREydAk+C3TfjN6rVmRyienxbXotEbxU5DR38JNdGok/L+g9MwgJ9+DrVid0vwkk1M8l3uSQySSnZR2L+Am0WY+pEXUNNewlVJSoy2pOTyLk6HoDxvDhcW4RcJFu65tjqIUICW/dZftDwNEI4bkokSRCovUIiTUihHQXQtIn67HOo9+ML/L9KOJ1HoRMKHUIWd2ntrYiUSgGSZDp1WuZRkL+ViPevCPPzYinP42fNNyEFUTIr0tfLmPT6clT+MiOVh3T9W60qPc+V0RGWZy0G8clx+yQTPBhh82IHp/GT0xZvX8p5CmgGapTA66hhucDKu1Ru1jjEEJoW9BWVQhRuMfwRjQ9ew5duhl5NN9R7vSyOy4z8Ui8BfGIxxEyGUPItw0hqAnEowwgXu4m/bwHkSScxLAe37kliZDiIv2sHanMF8eHtbUhxOXC9sYRwjWIDDIfIdExYOTS2y8daIo2NX30uI+mtIZGG5Cy1s5ohqGrSd2KEHaT/u7klTTiYbu61xP6WScwpJ5zUetTh/HafAnf6Has7BxOBunV78eRNq985SsLV111VSNC2A34OPJ5xphElVXTC/ZN9oUXNj8nFuZCW7YQXLx4ztZoNdRQucxErZPsvM1OtE4FPjMvi5BIjieXPPZDiHAI4NN/+PTrH0g8kPrx4z8eO/P6M9etPG6l041dz0LnScbw7bPaEHKKI97jBF5ucN3P+9EUbYSg3CQyD5EJOtSWhYjHPYuQv4ui2IpfxEwA29/2+be98d7+ezPXP3b9xDtufEff5/74uS49rrxPYgSZpKb0GlwhqClkIvqznmc93qN2k9syZOKZb4w5EIlY6dL7kUYmyEbkSSaGEH5Cj1+g17YVCJ133nkXBAKB6euuu27q3e9+9+oTTjihSY9xE5qrH15xJFKJtw2kBsaDgWAqmU5e/9jQY+GnPqoySCb5YCLBZCRCanCQb1F92cI1VAEq+UfhElxKCEEO67YY8kjtCg516j67kzxCaAr5F+76Qv092+/533OPOrf+rnPu4iULXtJ65AePfCfaJFbHakYIOoqQ7wQiKfQgJHUTnsydXt2GEPdGfIEig0SLzANegWQMutKnLpFmBCHXYb0m9/vAsqOWxQa7Bz9x4fEXRv/w7j+wbN6ynvWj63+NfCddel7nOYcQMt2udjgZImKtzVlrZzSdfDNCnDNq65her/N+J9SmIuKZ76c/nbxSh9f0W9TWxIknnrhyzZo1F11xxRXh22+/ndbW1sWHHnrod4GYetETQLMu4FYU/VP9K4BvddR3NPbEe0KhQOjv2+rbnna3532JZJJjrOULHR3Ud3cTNoZ/TCY5v9J21VB9qAhRl9WcziCk4KIMXA9E5007gt3+JJJH0kUczBZnTwwFQqE3rHyDCQaCfOCYDwQ2z2xuidRFAngtvA1NFNFXAxKaV6+fH44QofNiX4LEQyd1vzCyGDmLTCoNeuxLgdfg61EPI162kznmIxLLFLDphLefcHBPvMeetOQkIsEIF7zkguCG8Q0r8eF2JYRUt+u2GELOj+n5LbCfRrsAEtCs5yogk5ib7Ap6n/qstcPW2iS+m8s2/XxUx29HpJ0GZCLLLVu27NTDDjusdPTRRxOLxTj//PND27ZtOxIIqpwypiY063dbMRhjTo2FYjYcDGOMoSnaVA+8pZI27Q6lEqfV1xMJhSQ5p6mJBuAfK21XDdWHSv1TuZrTWYRsx/Da6Ri+b18zEgs8Xn7wbhoFUKIUCpodGbm430OR0BZ8xEcDMhnMqB31+Gy/ZQiR/wWRZJxOG9TtbYgXncUTmmsK66ScZnz8dxGfCBPQaw0BSyaSE0sCBHbc/4AJUJJQ5CS+VnUY8XjrETloCCFU97JIU4NGvS8hfKKLa7qwWfdt0sQit18c34kmi0wobmHR6LkeANLhcLgQDAZ3xHEGg0HKwjrdBJJSOyvaRdtgAuxSZIoqlROM2XGvy1GVttZQWVTqj6IBHyUBPjlkBiGNKD6SYS7Jw1XN21yeQj68bvgP6Xza/m7z77DW8p0HvmMXxRdNzEzObEcI1NXHiON7J04ipNSLENw2JLpjgp1Tyg9FFg5dfWvXBNf1ILwD8XZddIbV352c4CI3LLDyvp/eN9k31WfuH7ifki1xzV+uKS1tXNqPeOFFPccCvR+jSJ1pq4klw/gEmiCiQS/Rc8QQAn4Cv5A6o6+4McZFaYCQawPShKGADysM44m7Y+vWrbc9+OCDwSeeeIJCocA111xT3G+//R7X++k6vczqq16jeSqCgAncmi1kKZQKWGtJ5VIZ4BeVsucp8OtMhmyxCNZCKsUMZc1Ua6jBYZ8nvGgkwzyECJchpJJCSGkzvnFtFNhmrR3d5fhGZPFuyFrbX7Y9BCw656vnnLl93vbLcoVcqDnUXBj/1fglf7z2jwPAq3T8HEKcrvlsDJElQNK7/4QQ8wJE8kgg5NmIxEE72wyScTiOEGYcyXp0oXfzETLdgujKLkRwM0Lkw2dcesbhE0sm3lqwBdNR1zGZ+3PujF9c+QtXxS6kY29GJ7Sy/pAugsTJHq4u9AQiE+XK9nONa12lQLeAugVfaMplOy7We9usn2/Q620466yzLhoYGPj7UqnEggULhicmJk791a9+tUXHGtRjwvhyr+Wty/YpkunkB621X0Du/10We1pvY29VxnknEnwK+KS1BAIBftndzZnUGtzWsAsqQdTteB12AUIGixBvbAvi0fUi5Us37HKsQSIqLPCEIwIl6V6EuPq/ePcX0w/+7sHjrr3s2lNKhdIEQrAvQcui4gl2O0KCyxHP8kEkisI1JOhSW7MIid2NSCL74UuMums5ASG+e9WOTh1nHbKw9zId72GkxVcG6Gid3zp+9mfOXvOND35jKJfOOWJF7WtCdOJZtS+pndCDyOLnQcjE44pAuZTuKWut6ycZwC9Kjuv9deTsaoFMqb1HIpNSHolBH0HqnXQD0ZUrV24955xzpi6++OK1+OxEV4PFIGQ9rtc/vWuUzr7E0PRQAxDvbOgcfMqdK4zRURrzeaI9PTuyUmuoYSfsU6LWRIt2xIPuxXdV2Q8hszDixWaAx3dN1jDGLNTj17kiRErSHfiOKINKZq3AOQjZ/R7xcI/Dl/h0raXyiKwRQ0jxNoSAjlP7WtXerQgBdSHkmMDHYDchJLUGIeYOJNFmGN+otxHRfB/QcUaRCWMzMpG0qj3j+KSVJsTTHVabRhHv2NVHnY/P5nTFltwEkgUmtFtLAJkAWnS/EXzSzzr9bD/ES8/r5/cik8EheElqjcv81O/SxYwPIRKSa8brPPVR593XUEMNfzv2tUbtNFoXxeAIwxGB82AH5iDpv2oUoCTdhpDcmI6HknQM0WldbQ1HfDGEdNP4zihRPW8L4kG6es9ZHbNBz/EqJPKjDyHqbTqWi5B4ACHuNoSYm/HFkop6zAwStZFHtWckvnkePgnFeagp3b8Oeepwnv8MQo4b8BmFBYQcpxCyjAEdWi/aZS26rEaX9WnwRapakaeFPvzi7nx8DesUProDDcub1Pvahi9N68IrC0CLPgXVUEMNzwL7jKh3qTndhifQCEJcLcjj94i1dniXY/+qUYCO57zEFEKoJd3mGg88qp/th1+YSyEe6jhCRI74XFLEiUiXF5fUAkKASxAivhnx/lMIEe+HkJIr+OQa4bqejw8ipVRdfelFev5OhOQeQDzxNBJS5zxdl83YrOcHT8jTGq7oSH2e2muBFp3I3GN0u05yTWrDOOI5t+PDEF3q+CC+DVpct4/p2FO7Tp7W2hkdzxWMcqVRwTdbaKSGGmp4VtiXHrUrEmQQIppAvDjnTS/Tn7vW6wDx+NziotNo3aJYBiGLom4Lv+1tP8x/5jP2yJe//IJhhNhWIMS5HiHzefimsS6hJoyQ8UKEdO7GJ+Ek1N7rEB19PkK6buHMEf0CRPboRAhuk46xEJE41iPEeLTuM/rJn30ye8UfrlgYb4tv1HEadKwOPU+b2rMO8aIDiKfcqOcfcduQySlijImrxzuMTG7uOp0M0aH3roBMOkbvSZGda3gYHaMIjI/OjDYOTQ8tY+eQMneObh3PIIk4ecRDj6tMsk/R19c3L5lMLt7X5/1bkEgl2gdSAwsrbUcN1Yt9QtTqEdcjRBHHd28JIxETCxGC2ryrpqneYCfSKCBVRtIumcO1omoHAv/yL9OvHxw8K/GHP3BHU9NVIy960blHIB72ZoScm4EjELIM4yM/XK2OvyBFljqQySOCFFMaUhv71J5liJ7uMhyH8d5pCiH0Ud1vGb4F1qN63sazrzz7TX+e+PPQ7Vtu/8Orr3715jd/8s2uCFIbvvb0Zh13f3x9atdXskPvqZv03MJnozEmpJLHuNrYjm900Ic8xbgyprN4jdlFtDQiHnYJKPWN970pX8wPFkvF1YlU4sHtU9tdJIrV79C1/3Kd0Sm75n0qgSSTyQtDodCAtfaJRCJxVzKZrH/qoyqDRCrxWaDPYNYl08mbqzndvYbKYV951K7APQhhZ5F/6mmEaBYjksdOK/S7Sh5lckcIn6gxg5CQ/fCHH8jfd1/9f6xaRejmmwm++c02tmTJV9+GENEyfGbhPD3/PQjJOq04hxBjG5IWPoqQdhwh3x5ETw4iZN2NkNEsPg58ECHOMf3M4ns1uuzIgaVHLmV7y/Z3XXnqlcFb3n5L4MTFJ8brX1T/bXyZ0iwi82xAPPEIMqEtxNfqcKVKMwg5Oq/aIuQY1fsX07Fc38gsvs/ifHx51Yza2IFPOa/71OWfagoGg1/taOio62nsqYuFYgcEA8H/LPuqZvT+1FFWI1tJfAJfU2SvY2ho6HBr7arOzs5Yd3d3LBqNHmmt/fy+OPczRTKdPMkY86GueFesO94dCwVCL2+ta7240nbVUH3YV0Rd7kWDEF0Y8UJdLeY1cxzXjRCQa2Dbhi/JWUSIxXVWGe7oOPKlTU1w/PHS1PTsswOmr6+uvq6u1Z13s55zBl9UyUkyKYTgjkVIuB6RBabVhiJwCqJhb0dIqVv3nVFbhvGdzt0TQxdCVDl8ZEvLi8948fzFzYtLh3UdhjGGdx3xrsDmqc2uQp8rANWux25HvGBXXtS153IFp4K6rQvfyb0LmQBdEagt+J6Lrst4Dh9b7eLZXSEoV2Y1dPo/nH5gNBQthAJSbLEx2hjF7igHi47jJjqDZEEGAfQJySXb7HVvsVgsnlxXV0cwGMQYQzwerzPGnLq3z/u3wFr76vpwfSxgAmJrJF4fMIHTKm1XDdWHvU7UZTWnXWH8IkJ803gi27xr01VNjOlGPNMUnqRdM4ECQkI5xBsvlUrF/OysDbiIw4KmDZRKs4P4xcKGsuMaEXJ1ROM8wkmE7FyYmWuPFUQILYbviOJC2TL4OOY03muPIBKG8zijgMlN5yKzxdkdckC+mCdogi4c0EkajkSDiIQxja8EOIZvoZVDJq/FwFFqs6ugN6LnR69tXPcP6f7o+xzirQ8ik0UJeYIotra1psvDOPX3Ytn7kh5fxGd0lnvQ+0wCsdYW5rC1KhNILHa2PCnIWoulejq611A92BcedXlInkGIyyBkuALxtraUH1AmeRQQ79KR1TTe2wvrsWO6wBj+6lcPmioWC8Xrr7c2n4cvf7loly6dGsvlUiVkQfIQfB1n55VO4qUJV87UhcX1IBNJs76/HSGk1yCEtBpZMHQTimvX1Y9vQjuJpJZPIdLLMcDBd/3wrkQyneTXG35NtpDlK3/6SnFZ07J1+OYArmZ0Gz4sL6efNwF11toxhFQn9ZoaEIlnP31fAAJKpK5miSP9gF5XHSKtuE4vrszpNj1PcKBv4PZcMRfIFrJYa5nKTWWMMT/Z5Xt2E8u43ofuMq+6pDaG8REsewXBYPCmbDZLPp+nVCoxNTU1Y629dm+e81ng5zOzM/nZ4izFUpFUPjVtrf1hpY2qofqwV4m6rOY0iAcX1HPOIATUgCSv7NoY1aV49yHkEcR3NHFeecpaO6Ek3QgcMzKy7mBjvrnqhhtInXCC5aGH0tMPPXT2FxAycwWLJpGFtCbE6zsaIbZR3d6DlwJ69HzlHViWqz03I9l7DUjD3Si+BskGfFq5a9zbAxyPSD0Tw9uG7wj/Jfydq/909ezLv/ty+if7t2/62aa342WZccQb3qbHu9KjLtql3RgzH/Hc6/R8j+u5Q2pTK7KwGFdbnITjGgon8CVlOxHP29UBMXrPJ4497Fg7NTl15nh2fGggNVCaLc3ePFuc/dgu35l7InI1qqNAq/Og9Ykpw16WQLq6ujYBZ4+Ojo4lk8lisVi8oaen54q9db5ng97G3geMMRcMzwynBqcH88VS8Ts9jT3frLRdNVQf9mpmopYidRqw66/nHpF7EdJcXU7UKpUcgJCEq0rnigu5sLqJsqSXHiQiYglCandba3MLF57Qsn373e/B1xApbxnVjSS25HXsjXqelUiH8C1I7PMyfPKHRYjwWN33ViSh5mhEQgjrzxHdL6R2tSH1Q6YQknWhf08AbwIKr/zQK79021dvc0Wi0not00jdjqySnWvsuxAh1DA7J6mMI+TrqgG6+PB2POmm9NhD0cQihFBb1Nb1eoz7PmaRolRushzXsLs5O44bY1wfymlkYioh1Q8n9PMA2qty11j5vQCn31dVd/Td4Llkaw0VwF7zqMtqTrtz1OnPHEK4BtGmd/3jXISQ4gxCdmMIubUjBDBqrZ02xgSNMcvxXUw2oyRtjDHbt9+9AF94KYV4zCOIV+cWvXr18yG89jyhrwBC8gfp+dOI520QuaMH3xUlrvu7OORl+FrVrh70JiRG3JUndZ7x47dedatL/y4h3m0CIcZWV5pUyW5Q78lCRF5Zi2jsrsVWQK/JdYrZjK/otz9C9ofhezs6+ccik5zLLnStvFJaVW9Ex2vVtYPdwdURn9V77Krp1es17JBA1Mvfm3BNKZ4LeC7ZWkMFsDd7JpaTdBAhLid5lIeL7YAxpgufBh1ASLoeIcUppChRXmOrF+NjjhPAPUrSLYgWXY/ERDtCdQt5Lt15LeJBt+lPt8g2hEwkRyATwyASkTILvAHfAXwBQvquDrOTFYbxNaRn8Bp4I0KGaXx38QKic6MSjmuekNdxXefxOmOM066HkZC6EOJJu8VRVz1vMUK0bnExg29zVn6/mvXeuGsOI8TeiK+4h8ZjF4wxo3pfmo0xQe0osyuy+MXXPN5LbDbGFKy1eWttRsm+0RiT1YmghhpqeBLsTY26ASGTEt6bdl52GhieQ/LoQf65pxHijCEe9gzQpyTdhSxCOvIbR+KhC8aYpUjUQwApdHS3juFie5fpZ9vwscojiPThJpL5+MSQPyMe6Zge26/nake80qPUFpfJ147vHDOAEKmTIZy9/Qj576/3wYUeupTsWXwYYxHxtnrUphxSfS+BkGk7QsQuFbxZbR1D5JsMPgxvBpkcQmgdDjzB9yCTgIuHtvjFyQ4la6uLlzvqWu8awVEmi7iiUGFk8ighDXDd39uEnqOFGmqo4SmxV4haPaZg2Sanl7pH8iTa2boMi/DhcuP4lO4sQqRWibiXnTu13IN4cYehGvFFF100eOmll77x9a9/fStCQEsQb3AG/2g/hpB5DCG9aXzMtCPK8mSWA9SuZt0niRCu627SiPdkhxANvB3xxjeo3U4XT+v9sZdccsnKVatWvetzn/tcvOycQSREz6UVb8Uv0MXwKfMuSzODbxI8XXaNrvnuJKI/jyOTRxBfj8SRvlssXYBMltvwYZHdxpjQ5z/PkatW2dcdddTbXDx3665kjW/84DJMo3qvXYebcgkkok9HexzDw8PLBwYGTuA50DElkeDAwUFewl93e6mhBmDv/RG7+GFXR9k1UzWIBztjy3ogGmNcXYsx/GP4YuSffT3yz34AQoaj+PocjyAEvwwhjvWf/OQn33DPPfc8vm7dum+k0+l1xx9//MkI6Y0iUojrvtKHEGAOWRA8GiGmX+IJewkyARyr53bXsQFZMGxTu1yI4Wq8zh1DJhCX7dejNvaqvVPveMc7XnXnnXc+/MQTT3zrjjvuGL3ssstejnjGjfiGtIPaiswl6rj4ZNfw1und7okgjc++dBX8Mgg5D+r9dWnfaxHdPaj3ok6/h3n4JgAzQPsFF4z95Oab7f2PPsp3enp+sP0jH3nC1V9p36VPYhYfilkColrMaQKIlmnurjfmjuSYPYVkMvnlQqGwOhgM3pJIJNZu37699amPqghMMsl/I3+Xv0skeDCZ3FHCtoYadmCPE7UW4HGx0q7GB4hUMIqQYLps/zC+AP4mvP47q+9bEXkBRDZYqr/3ISTdrOOtu+SSS2bvueeeS6+++urAj370o/DHPvaxYHt7+6vxadj3YvAqrAAAIABJREFUIYTRgY/+aNUxLFKHY7Xa6DzpFXrOAXwCTAYhMufJusp0YzrmVh1rM76+cwEh3wXAEcuXL2/atm3bq773ve8FrrvuutDZZ58dXrdu3Y8Rskzoy8Wdo9KDW+h0yT7zEAJ3C6NT+sohk0Fv2edxZDJpQcjY2RhAvNsphJRzeq0ug7HxDW/4+vGPPdZy2vXXm8D11xM69VQiU1MH/EivOYTKI/q95PReul6KUbXf3at42YKkayywxySQ/v7+44H3dXV1xbq6uhrq6uoWhkKhL++p8fckBgd5nTGc0d1NXVcX9dEoK4DLKm1XDdWHveFRu1hn90/qqto5PXiHN62PzYcjpLdaj2tHiGg74oUuQIh4K0LoMXzH8gJCaIPASDQaPb6tra108MEHA3DqqacyNDQU6erqugtfI9ll8Z2AkHAAIZx1+KgIt0DYgMgFo4iEcRISnzyASAPr1ZbuMntckX9Xvc7Z+wjixRYBDjrooN7ly5eXFi9eDMDrX/96s23bNteR3XmYXcBCY0y7e+GLW4XVluUIabvCSy16r118+Dbdx8Wtu4VI1xUnrtfnFlUb9H0KLQDV2XnSS446qlTq7BSj3vhGggMDLNL08BFkImg3xkQ00871UswCgbLqea5RQ4vq3kWErKMuMuTZIhAIHBeLxQIB7RtcX18ftda+bE+MvadRKnF8XR11Tjyqr6cOKVFQQw07YY8SdVnNaYPvNNKEr1cB6k2X9f1rRUgyqvtafA3peQgpJpCFuy6EPBxBuLTqMSCwffv28PT0dNDFhmezkoMxPT3t+gXOx3uf3QjBO206iMgYBcQDd5KCe/zv0v2G1WbX8GAcmUycnLARmQCcTOPqb7usyiOBjkwmY1Kp1I77n0qliEajFiFfVyQpj2/NVY48vqvLQny4XUbPuxhfsModn0aIOI941mH9zIXfTap9AXxyUgYYjcfbB9JpsyPgPpWCSEQmHJU1dtQCN8Y4gnaLluC9aqv3yyL6dkAXUHNoNMkc1/pMkSmVSuXp7RhjqrJfIjBTKpWn4su2illTQ9ViT3vU5d60q+3hIhEySLfropJ0J0LGw/gFKItvbhtECHMCqWTn5Id+fJpzGu/RHvXf//3fpWg0mrn66qtLAwMDrFq1yu6///6JdDo9DyGp1yDkO6rHdeAr2s2oDVm8ZLEA8VAzau8f9dWMbxDQrWOkEJJeo+MeoPekHplkDsc3uOXPf/7zfVNTU8Xvf//7tq+vj89+9rPFxYsXP6HnORqf2FIEstbakfIXMilswU80swhZuxomjyLykMtAdNEYq/X6HDG7cVL6ekjvD3rusZGR339340YCP/sZbNkC//7vtrhkSeEW96XvGmuN/7uK6rZo2b5F/XtwmaLodwx7QAIJh8M3ZrNZMpkMhUKBycnJaeAbz3bcvQFr+d9MhtlsFmZnYWqKGeDrlbarhurDHiPqsprTobJXK0IcSbS1lO43Dx/RMap2WHy372lksa4EvBHxhB9BQtMy+HZPDUjM9AqgPZvNblq8ePGp9913X/873vGO4rZt29K33HLLjxCSfBFCvK7Km6vA9whC+K4aXYP+HtZrmEaIztW0zut1JhASatbrcLJJUO1dhITglbfYGtGf06lU6uGRkZFrb7rppsw555xTKBaLD9x///1vQrIYh5FJ7HC9TwcaYxp38ThdXZFZvA69P56YNyCTUoPat0jP7ZJSXBx0RCWMDv0OBnU8V0Rq0f/8z5sXRSJXf+XaawsT//RPdra+PnfnDTcc9YHyiA+N5BjF18p2ESpZJLojULava+MVM8Y0lnWredYSSHt7e8IY8/eTk5Nrh4eHx0ql0le6u7uvfjZj7i309rLWGN46Ps7m4WGGSyU+1d3N9ZW2q4bqwx5LIdd/sB59W0Q8zTaEMFyRo0l8g1jXBcV1LVmO1p221vZrHYvXIAR0B6JRuwp6Ebyk4qIjRpFMR6d/h4EfIV7adnwMcwrv8UcRUluKEOOEbs8i3rLLPNyCkO+f9PxL8It6i5AJyS2g3oLIG3nEqy0hBOhKunbrsXcCr0bI/0ptQusSTVzbLtecII607NqGj4kG8drdvS3hO8IMqM1vVDvGkInkMbU/q9/Fcv2uViOTAsC9rqKbRmgcqXb0Ien+SeObFM/ZaVyTjly1QVffe1wXFMv3c3VKRjVZyZV1HS6PCqqhhhc69mRmoiv643oNuroaLl7alf6sR/7Ji/hiSQfr52uArDHmYKRvYR74NV6mcJ1dLOJZB3T8QWvtgDNECeAVOnY7nuSaEY8xjXjhFpkwXO/FLBKythgvqzjPcAtSVKmEeMYL9dwtiPefQBY7D9Dz3I+vSz2IL57Up/flOIToH9YxxhD9tkP3HbbWDhljEnrepchkk0SIfJ6OPYOvye3u9Yxe3wCix/fqeQLIZLoV/2SRRibORmBjGUnXqy0NiKSTRiI24tbatDFmGmgwxmTUQ94Ba+2EetuLy77rqH5n5XBNBeYZY4bxETlOLquhhhrYQ9KHZhU2IiQ2i5CBywAEH/8bw7d72oiQ+yEIIf4FIfFDEZliErgJIYgD8B7uBL6YUAkhlwGt/dFhjHkN8G7EW7wZIaUWZBIoIETgSL5R7YkjJD2MkJ3r5RhByHWh2rZAP3tc7SsgpOm6kq/TMV0N7R5884N5+EiKAR0rp2PFjDENKh/slByiY9+FhCoaHfNw/TyDeNxN+t4t2o6qna4tlmu+a9U+V9YV5CmjGyHkIf0+3WS6QO/HGmSymULinjv0/uy2xrTGfo+rbfGy85XvY/GE3KrjpfR+PFlNkRpqeEFhT3nUbhHRxQo7SSGAL6YfQQizDSGfJoQIhhF5ZH+EQJbosffpPkchBNOvr1bEQ5xGHqtjxpjFCIG5/ojbgN8iZHIsImv0ItLFUUinliRClAmE8BYiJPZa/ATmklxiCBHepWN242OqwWcTrkPC/hLIxNOITBjLEaJrwvchDOMjLpoQAsxZa2eNMZMIATZZa6c0amEImXRCiBzhngTcIuJCfBErlzzkCi65zi4uxT2ESDZpa+2MZgdaYFZJep7uG0AmiALCq0Ma1dGMTHhOJ2/Ea97lcKniQSTWenzXBhG6uDyu19JirR1Xkm7W+1ErVlTDCx7Pmqg10aEF+acuIQSSQYhiR8IGQkwupC2EkEEC8WT3xydYuDoVbiFuDCkJmkdIvAGfnLFCx1+KEMc4cP/ll1/eOz09fdGaNWtuv/HGGx1xuS7cruOMi+vuQog4gI8jXqv2Oikhj5DVQ8iEcJQeG0HIqAXxBJ03O4vIOdPAH/T8rp5GPSKRDAGZs876ybn77ffGBevW/deNP/3p+wvGmBElzzAiNcziFwCN2n4fQmwr9NyuZnYGn1QTxHvsTjN2UR4BJAzwYeM78CTwncRdZuQI4v13AOlkMnlMf3//8pGRkZsOP/xwdJ8GZLEwo6F65XCp5q5UbK8xZvscUknOGJNCCjW50rNOAhnnmcMkEomXGmN6SqXSL3p7e6s1PA/ADA5ycqlEczrNL/ffn/xTH1LDCw17QvpwURJFfHjVCEIU9fjSna5WsuudOKHHNiPk1oSvCdKr+zyOeKYBRP5wnmwT/nHd1axYDfzk4osv/shtt912ezqdvnBsbOyWv/u7v1usNrnOJ0XEE+9GZJdeZGJ4BCG8QcTjz+C9RVeqNIoQV0ntcE8KDfhwN9fJpBch4w0I2WTxadoHAtPvfOejbxoaeuPXUylz4djY++75wAceep1eG5QlhyDEX0KIukXPN4ZIO1vwEs5+aPssfF0TF763UscYxU9YjcjkBzLJtCGTY1z32aLXQl9f3+eA2yORyDc7Ojq29Pf3d+OjWJqAxbukkoPPUgwgE0QYH2u9E6y1KXz0TAAtNDXXvk+FRCJxbSAQ+HUoFPo2sLW/v3/BMx1jH8Ek/j97bx5mWVWd/3/2Hatu3Zrn6uq56Aa6GZtBEGSIguIcxSHyjUGjPpLBxITBiIGAREFxSNTEgfgziRhmI2ocUAJKQAGZGuh5qq55nu+tuvfu3x9rrdq3i4JuhqZarfU89XR11Rn2ObfOu9dZ+13v28VPgf+OxfhWOs3W9vbZktdiLMZsvCig1gezFnkAzWl8GAGYCoL1Uwnyap5FHuwE8kCOId19RyLZ4RACLj0Iw2Avki2fhgCtNXH06vlWIYB6n/f+vmuvvbbxgQce+PA3v/nNyD/90z/FP/nJT0a8928mlGRihAzvEQSQC4Tyh0mCmtM3BNuvHkKr+QQC9NMEpkgUybRndNsxBDDtDcOYH/3A6Pr1b6/ZvfuI47/97Yj70pdc4qMfdZHe3qOuRxboknOaQ8y4IEWQVB3Sc/YSqItppPRi4k/bEQCe1M/Dyk927xPIm0uUwHap0eN0KHiW3HjjjUfEYrH3NjQ0pOrq6tLpdLo8Eol8TTPjXmTyKgNWFtPr9Bqy+vmbJKzpWs8nxmRMGlsjmEFKQAf8d9rZ2fmaSCTyRhtrWVlZVTQa/cKB7v9yRnc374xGeUVDA2X19aRLSmiMx7lmoce1GIdevNiMOoUAQITAmZ1GgMU4vlGkDJAntIUnkHruIKLxvByhju0iyICWOefORdgfBQRYn0QedmuP3gF8z3vf7pyLdXR0nNPQ0FBYvnw5AK985SsZHByMVVZWPkCQ2+xFst4pQu32VUgG3I+8ctcQDAasHXwcyYRPJJgMWJMO+rvjdb+tCPA1IMyHNIE+txwYW736TQ1tbaEt++yzcZ2drlLvWbV27RU3h9TqvbNuxyjBpNcjbwmbCc0vy5AJ0DorhwkTUwuB5riKwE4xDnQG6FWATB511FFrEolEvqgtO+q9Xw+zGiT9+tmWIK3ktUXaH2YSbHS7cf1ZpQk0WRQtphrX3gwc9tnuucI5d0wymYzY+mYqlYp7748/0P1fzvCe40pLKStqIU8inpqLsRj7xAuuUetKfy2S2Zr05jChyWKCYEcVRxb4mgmLgPUIsDnE1mqMQGFbTmBFPETQiz5JjzGC1H7jwBrnXA1Q99BDDx1ZXl4ezefzRKNRRkZGcM4xMTGxFQGuNALULYQyxBPIAmJBxzBN0MOu0p8nCXTDCgRM4gggjum1WMnDSiJJgnB/Qv81k9q9k5M904ODznkPzkF/P5SUzBrimp1Wn2pwjyOTXXEJYamO0cwFbHFxO1LTr9Wxnq73bkLvp30ODnkraCZMoBHCRFaCZLcumUwO5PP5WWZHPp+HZ8rU2oRiMrH1Wnc2zrc1NSW994PKtU7rZDBitEA1KRgmUDmtdj2ljTn7i9G8DtDG6sSQ4VCMkVxudkEWHfULqckvxu94vJiMugTJPFMIuJmwj9WpbcHQOMJJ5OGeREDmCOSP8hcIoJjllXUnbgV+6r3fhtRX34Bkf2N6vBMRlscK/ap54IEHflFdXT1wzTXX5B977DEuu+yywpo1a3blcjlrslmClF4KhAW3DtStW8f3JEFYfwQpV0wjoNZOcAEHAUhji1QQjGlThIU/CPzyfh37E7/61ee+USjkpj//+YJ/5BH4+78v5NeuHftfgllAq3NuqTIgTNRqlMAWKWHfkoXxwrchk8EuxDXdyhINCFtkjR7naR2brScchkyQtphXrl/5srKyO3O53Njo6Gghm80yPDw8AeyjSKfZ8LBep00KFcjfRLGaXoluP0wQv9pH11obY8y4IGefx3w0wLmRy+VumZ6enh4fH/fZbJaRkZHJQqHwmf3ttxBRKPDvU1PMTE5CJiMt5N5z/UKPazEOvXjBnYnOuVbkoY+jwv76fxPjGSbUkPcSVN9GkIzWpEETBLW8EoKZ7W4kCz4TAdUMAkJTegzLwE3vuhPYet1117Vu3779tr6+vjVlZWWdt99++39MTEzcB7wWaYLp1fOOI7Xdw3Q81sG3lFBfN3lSay55QsdSSWg2aUdKNW16D36BZOo1CNhbnbYPATET99+6bt3bNmzY8PULJiaqKpuaxn/xne8c/deDg7tGCUa1ZlJQhZR5knq/zQ7MOidbkfb1/yN0Wu7WsZspQB2yeGqsmSeQCW4CAWTjknciWXupfm3z3g/39fW15fP5L3nvVwNfbW5uvp5Q9in+u6jWcfXpZ1mpx4/qscuBXrPg0pq2LZgOztEpt07NEd1m3k7IudHT03O09/6LQIv3/vrm5uav7W+fhYqeHk4uFPi8c1QCVzc18V8LPabFOPTiBQG1thAfTTBZ3a3/N26t1XDTBBPVEeRB3UDQbB5HHuhOPVY1wWvvaAJL43Ek0+3XfczQFgSYts/3WuycOwNp055EwPQPEKCY0bHuRcCkBwGybcDJBNDapeNuJCwcRpCmHHOeMZ3l45BM/S49/aiO/SSCYFFBz++QJpIC8uZgEq9W8gCZNFbpfenWY5Qj7JcehBHThkxYx+ux7iQsFo4jQJpAJooBZEI6U7fJEqh+lj136HXO6L6tSKmkF5Gn3YcDPV+44DSe8973axZcg3yWI3rcXq8u8rpPUrcpIO3kuaJj1etmGVSC9QBLIIuxGL8z8UJr1GbZNIUA7QqCQ7cBUg3BTXsMAY4zEUDaiIAzCEAepz/vJzBE8ojN1o+1CSSJAPSxut8+AK2CRQnCBFFJ8Clci4BwL0G+09TvJhAQswadB3U8juDwPab7voIwkVi5pEy3GySUGaYRYLHF1aaiezWu3y/R+9BB8H405cEEQptL6PZdevw8gSu9Xo99rI7nSb3uKALsrcgENY2o780454wq9yAy+axBQN6uv5+QSUNQ7ytFGosKesxJ/yymtKpZMoIsiKa99+PAgJZwjLHinHO7LXtWHnU/6gPpnBv0YoRbKGqGmfV6dM71+hf6KrgYi/FbGM8bqBUQrfGkE8mC1xGaVab0Z1nkITfwLq6hmsehvXL3IhmiCdlvQ8SBupxzMefcWmQiSCKgYtrWS5RnG9cv0+UwpsaAjrFEx9KBAKQxII7Se1CPAKI1taxAgLxFx27muNa2vZOgZZ0m6GjvJcioRvU4Vrs35sOD+u/Jeg1DBOsrUwbM6TkTOn6bgIrb8k0TZBXBJd0sx0wPOq73YUrfguyNJ6PbP4EazyLAHUfYOAUkW+9mX02QlF5vWhtTJhHp2n1A08/vNG50xQm9R/XOuVHVo0Ynkj69V7XWxaiLqVb6yBA0zvdbAlmMxfhdiReSUdcSXrnLkCy3gVDysG61DsIC3TrdxvwOxxGg6EQWtZJIFmt2UU8DKefcq5HMMEEwZs0iD3qBoILnkYfYMvdBAid4tR53Gm3e0PHFdf9Nun0LoakmrsepICzcmT5JKQI47QjwzejxTXTfyj6D+q+ZKJhXo8mHWmaMHsOyausOHC4at0cmqjFkglii256o99ksy8p1myb918DdEyaLPgSUa/Xah5BMug7RELFSzSSBN+6QrHxQyxHG565CaHamNV5ckhhBPusqPZ6VLsZ0TBEkO04Bw977nLaT9+u11DjnRrz3E9qpmSA0TM0rBrUYi/G7Ggdco77qqqvOHx4eftPu3bu333777b3Ig2wUKgOAAeSBzxJqt0sQkNtBaCyp0X0GkVf4Zj3eE/pvKwKCBQTMtxG0lA24SghuMjlCdpf/h3/gT0ZG/B/s2fOfv77ttj8e0eMlEfBYi7AbOvWYVm7YhQCVtVpbM8mUbp/VcdjC5s+QbNb40lYeMQOCGcIiXlr/P4pk4x4oOOdK3/e+9x2WTqeXjY+P/9cNN9zwMIE1YwumBormj9iv11CPZOz3EfQ9rFxjzuMtBFU+a76p1esBeYtpR2rGXilzRyFAniAIJmUrKip2X3TRRe+Ynp4+vLGx8fOXXHLJY0XgaZ+DdUROKugamJsxg5WArOXdGDQOmeDGdRzGoy7Rn43qz0wG1T7zvmcpgUS7x7vP9943RyPRGxvKGnrm2eaQiK1bSaTTvMt7KvN5/nPp0kOXnve5z32usre39wrvfbympuaqSy+9tG+hx/T7EgcE1JdddtlXfvOb33zozDPP9HfffXekqqrqkVtvvfUuBDSjCKB2EBbDzEHFlNrs//ZQTyIZ1QrkgXsKye6M12ssjm32auyCzZeZE5jU6WRxZvU3f8OtmzbxllNP9fzsZz5SW/u9791661vvRADKIeB6PAKqmwi+iHsRsDO95hOKfmft7ZsIXXZbCPXwlYi+tLVAW4lhDwL+vyI4nwwgQP7YhRdeeMPg4OBhxx9/fOHnP/95pK2t7eobbrjhi0iNftR7v0s1Pw5HsnIzCFiBvNU8hSzKliHANk6oS+cJHpN7kUmyTa9lJYH5sa2ozm+TTgMC1CbOlHrve997xeTk5JIjjzzS33PPPe7Vr371H3784x//XtF+JYQaNATdbCvh9Oq5Z6VwVeQpovfMRL2G7fPUiSNF0DK3xcUY8jc37r2fy5F23ePdd0dd9IRoJBrJ5DI54MSW8pbNHHoR6+rioXic1ZEIkWyWTDzO+ro6uhZ6YHPjc5/7XOW99967d8mSJclEIsHWrVvzZ5xxxuqLL764c/97L8aLjf2WPr74xS+W33///R/61re+FVmxYgXvete7uPDCC48rKSl5KpPJdBMyYwNOy1QbkIesGwGYJPI6vxfJ2CoQoPgVAtAmsNSOArSTsMUt03ww9sUzaqPXXkvbb37DW2+6iUhDg+P1r3dcfPEb3wD8OwJmjYRM1zolE/p9IwIu1gK9jcCOSCOAdTTC0ujT3/UVXec4YQLJIMB6tI53G5Kp5hGwGXz3u9+9fM+ePYfdfvvtkYqKisgZZ5zBF77whb8FvooAllmWpQldlcUNQXlEB8U0twuEWnkXoY47rl9Nup+VirII3W22XKHZ7LQe06iQbW9961vf19fX13rbbbdFSkpK+O53v+tvueWWrwHfs/102ymdUIvfAiB0ZtobTAFxc4nqguKQlk8qkcXECWBMda3zBHqfvR2YbEF6rhhUz3jPGyMuckJ9WX0ZwFh2LD8xM/FFhJ55SEV3N38ci9FWVyclsJER4lNTfBp47wIP7RnR0dHxpba2tpLPfOYzMeccV155pevo6PgGcN5Cj+33Ifbb8DI1NbW+rKzMm1v2qlWrSCaTrFy5Moc8eOaAYq/2YwhwVBD8EE3zeQnSrr0SybA84kJyOvKQ9ur2K5xzxyPi+scjr/rGK65Byg+HOefWFH0d/cgjt1zQ0FDw1pZ9zDEwNhaJNjQcbrxoaw/v1DGegIDAUmSiWKLnMolPa7/uRAC3heB4sgTJbK0OexxBTrUOAcYlut95+vOlyCLiypmZmTetWrWqUFEhvTMnnngivb29KT2esS1qEGAbKvrZeh3zUwS38ixSSqjQ7T3yZjKun40twk0TzGsdApazokc6MUR1fys9dC1durRs/fr1hZIS2fSkk05y/f39NcwT3vu8937Me99DaHfP6fXbpGZR7KWY0WucQCbVeudcieqNDBNc1u3vzkSy9mmE8fjDE9HEbAJSEiuJIp/poRhHlJTMrlNQUkIc+XwPuZiYmDjypJNOitmtPumkk2Lj4+OHLfCwfm9ivxl1NBrdPTo6GhkbG6O8vJzR0VEmJiZcb2+vLRyOELiu7QiIlSMgbU0Z5viSREoktngX1+93ExgPJoAPodY9Vz4T3dZMZsuB5O7d90TLyt4WmZ6GRAJ6eyEWw/f37+gn1GeTiCaGLXqaaFSaUNYY0DHY2M19vIAAYRsC4MWv09babqwEqzWPIU01tohWCriRkZFsNpuNFAoFIpEI7e3tpNNpo7xZHb4FeSOxdnzT/R7XnyUJbyqmjZ0kiEp1IOC+XK/f+NEmE1uHMDPG9V5PI59lvuhzGIvFYh179+41R2/27t1LKpWacc4tBbrnkTcFhHYHZJW10UqgDy4pGstk0fYeGHHOTer9q3HOmW2YmSEYq8b0ScwTckwP05cr5GYNdXOFHEhd/1CMvpmZ2UmUmZlZz8pDLuLxeF97e3sBTe7a29sL8Xh8YD+7LcZLFAdUo/7whz/8YKFQOPYd73hH7MYbbyxkMpm+G2+88SbkQetEwNb8ENPIH5vVSusJi0dWn7XX2K0I6JgmckH3sYXBWdF45VEbJc2yPQgdhYPA4IUX+scrKlj+xjcSu+GGfKGkZM9j3/zmqj9C7Kw2EBpoTkay9C3Iw28LWnt0m01IPXuJjucUgvKeuaQPEnSwMwhbpUr/bx6MdyETxAhBprU3Eon0vu1tb7utra0tdeaZZ7qvfvWr+ZaWltu+9KUv/bXeVxNP2qklgNai8fcSatbjCEhVIEB2uP5+r/5bhtSqVyPgaCYE43qsKKH+a1z0PQS2Ss+KFSvajj322N9s2LChZMOGDdEvf/nL+ZUrV/7Ll770pX8jWJN1++fwOVSRJluoTRKEvLqZh5utWXIZMglDkH2t1f8P6r2uJtixzXSPd6e899tT8VRtPBqPj2ZHJz3+/OZ08w+fbWwLFZ2d1DrHtrIyymMxoiMjTEUinNXYyK8Wemxz49prrz3uxz/+8YMXXnhhJB6P87Wvfa3wmte85g8+9rGP3bPQY/t9iAMC6uuuuy7V3d39zYGBgdO895233HLL/2QymSRh9d0WsSb1e9OMNt6xdRTOIKCwF3nAjSZXQIDOsmer5VpmWlG0XZYwMfTZYqPFZz9L9d69/PvQkD/O+99su/HGV96dz2e3I6+/VnuNIGDxGoILjfk7Tui5HkD0SA5DAGKFjmMXQb/CRKiMErcXYWF0IdKse/XatyLZv3G464GyxsbGZW94wxtOzOVytaWlpT+74YYbPjUzM7MdyYiNPphFgP8UJCt+CmGOHKvbbSQI9Md1zBGED27CUi1IuWkMAWGjOaKf4aB+js26/QDBkb0UiJxzzjmNq1atumpycrKptbX1G9dcc81VOnk2EboKnxOwnXNpAmd8WO+J6aPAvpO0eTdaG3pSfz+qY4zq95V6zF7vfR9A11jXMucp+/M6AAAgAElEQVTcJz2+1eE+15Ru+v584zkUorOTtZEIVyPX9KmmJu5e6DE9W1xzzTWv3bVr1+e897Hly5d/7BOf+MRtCz2m35d43i3kzrlXISAUR4DPgK2SwNawhooUQeZygpDJWQPFAIGmZeYCjcgfrb0mm0KdqfNZ44R95Yq/L15gdM4dDrwVyYyTiBLfLoLt1ysIhrH2Gm6t1U/qdR2JgJb5CPYjE0pBr3kCAb9XI6B2j45pCgHsOkQr2gBxDKnLr0Qy+x/o+ct1P9MbKUMAuQ6ZJEyGdRPBVPdVeo5desnWlHIkslDbr9eyDGGf9Os9sOYeM3aw8zYSOipTyGJoE/KmMAb0z8OysLedZgQwnxOwnTiNNxLeCmyx0xYgixdkJ4sYKSap6/T6i6VZq/T7vdoJuRiL8TsVL6ThZSPSCm60O+vas5r0Ot2uE2ElWGu1tVuXIg9oBQIg9sAZcyCHANcw8sBPEAwIYnO+t6wePXdcMzBbLDPlufVFY6hFQC+mP1ut5+jWbTcSXEn2IPXdZTqWZbrNo3pdp+i+jUjH4WokW25EwNParysRsOtGFjAtWzZ38qVI1m1GuqapUa/jNZ2Mdh1zHgHEh3R8jQgwGwvFGosKul8FoY5rbyXT+nmYjKs1x2S89xknBrZj+pk4vYZpZXXMAijM1qJ3OXFMb9Zz1znnepFMtxiwTcK0Vu9pUsF/HBifw80uVdaHva316jjShAm6WJWvoagTcjEW43cmXghQW0txA/LwGN2qlUB5M3umNgSAOpEH1HjGlUimZhxbW8mfQB5e6zC0BggDTquhWp2z+Pto0TZOxxQjLLJ1IFn5YQh4mfZzrY5jpOg4e5B68FbdZzkB7KxUYqUBy07R/SzLziITQhWhnT2u98lq8RCad0zv2uyyxgjO7aYuuFnbsw1UB5Bs2yYuswizskKj/syur0+/79aW7YL+HoLKXlYXCesIE6bJy1oDzj4AWqzZgQB2N8GBvU67Dbu9RE7/v0Lvt3diklDQY0wjE4ItzJpei5kkGGhb+cO6PjP6WdfDocdDXozFeDHxQoB6CeG12eqNZhQwgQDCZuS1/ShkcetoBIh3E5oXNiIgaJoN5lBugk9JIKZgYvQzq0cXELA0kf9pgobFtAGHc+4EBMgfIrAGrNQSRx5syz7XICUK6zIs07FDkBftQADQJpw4AiabkXKDAUqnnrMMoR5uIJjm2kRkLBMzUjDdkwICmCN6TDP4zRIy7TQyURgF0jLNPOGtw8DSzAq263FsO5Bs2eRnm/X6WhGQ7vXed2hZw+75qH7tA6DOOQPQjIJxBtipHPhiwO7VsZpdW5V+X1L02QL75WYXCC43ECiJDjUsWCyBLMbvUhxQjfrKK690uVzu0qGhodcODQ3t/s53vrMXAbE0IVveQ9AgNo2KToLORC3yMO5AFvRMgjNOcCq3KBCElhJ6TAPmYYoaOeY2vVx5JdHpaa4cGSmcvmPHl8d/9KO/7ER0ms0U9ikEPKy9uZwAXnciwFal5zR50yMJWa3Vig2ouvTaIwgg1yJlkI16vQlkgc9EhdoRpsmWZLL83He846evKC8/sWxm5td3fv3rp/wvAqbVerwGHdtuPbd5SppDt2l3Gx2tAQEta0SKI/zuBPBjQst2u/d+XEG4Vvc3tb0UUotuh1l96YoTTzzdffvb339rOl2xAvj35mYengOg1qFq3aKzlL0iwK7UMfQSWC1TyKLwAbVO65it3GZlL2v5TwGV689YzzmXnfOnM36muSnd9Om/O/3vDtkFut27qUokuAiojET418ZGdi70mJ4trrvuulVdXV2f8d7Hmpub/+7SSy99cqHH9PsSB+TwMjo6euuTTz75yeOPP/6MiYmJ//f2t7/9TxDgcUhGugN5UAwM7SGtILQqP4A8lBuAtyP0OBMx6kZquluAjd77x7z3D3nv7/fe3wP8nH3NaJsQQD1am12anXNlzjk3MMDPt2/nsuOOi5zh/UXnvfOdP12HZJNGBVxBAIo0AnZGJVyJTDZWu60iZOHGXBkh2I2N6H4FZAIYRiYgA/lV+v8R3X83AlZHAke/4x3b/gxOOO/oo92ZO3ee/NmLLtp8AUEvxCbCGQL9z+RbTSulQ88JAvAVBP63CUNZ56WJQhn/3UoVVhqp0ftaDNIRoKSysnL41lt/emNlZfqTqZT/c+AXPT2cPU9zi3V21jvnGpxzaS1rTHnvd+jnO4UA9HIdY4Ln4Ynovc8qqPcU3X+TnnWpilR87YfW/jDnc+9pq2l79V077vrp1fde/aYDPf7LGe3tlMTjPJpMcnkqxV/n8zze10fbQo9rvrjuuuta77777qeqqqre1NjY+Pq77rrrkc985jOHaiPR71zst/Rx3XXX1T744INvvfXWW11jYyPnnXeeO//881tSqdT9k5OTxoF2BDZGJ2GxrJRglroFyTJBSiLL9N/tiOP4vE0TMPsabDVS49hWIMBVjgBM07nnXrPiiSf8af/93y5SWQlnnBF1H/zg2a8oLa3dOjU1cCwCCtYdZwp7Nn4DsFEE/CxLM3GiDvZ9AzD/QautNxO8FMsJkqz2r1ECtwBTp5zyF6/u6alr+u53I660FI4/HnfVVYddBHxWj2816iEdXxbJpOvY19bLSjj2VjBKWBycJjirm052H6J4V6IligwyccQJ5g4WpYB76KE9JyUSiaPr613KOUgkKB0Z4Z8o6qIram6xpp5S/YwqtGll0otZwDYnDuTNyMTYAIw657r98zAE0Jr2BDChC8gpIH3BFy740GRyMvWF134h6pyjubzZ/2DLD/4ZbXc/lCIe5/3xOHU1NaL/7RxucpJ/BN6xwEN7RnR2dn7hxBNPjF1xxRVRgGg0yp49e/4FOHuBh/Z7EfvNqAuFwpry8vJCY2MjAM3NzaRSKd/W1taDgE43kt08hmS8M0hpox/Jkq1rbi0BwLYgGfYE0iL+/5xzZznnmpxzdfv7Img9ZPU8HcBIc/PJqxsbfaGyUsbe1gZTUy5SW7vqNATM03rOEqTWvkfHnyaY0BZ3zVn5YUrPt5wg0VmCgKkt5C3TW/Y4AogmaFSp++8i6GLvbGt7y8Ty5T5fqhL969bBwMBsV2ENgbq4Ve/ZMv1dJap5oWA1rb9v1GuxppYEwSB4M4EtkdEx2CJrvV5jFwLSZhoACu7pdMXSRMIVrFE7kQDvaWGe8N4XvEiT9hPomAmky7DJifN41osX5ibk76MZONU5V1/cDn6g4UUidRToKm0srTqy/kjsMOvq17nR7Oi87e6HQKxIJEILeTJJDA7NjDqTyaxcv369rQlw1FFHRaemppYu5Jh+n2K/QO2c2zY2NhYZGJBu0b6+PiYnJ92ePXu6CPoSSxGAG0fAeAWBgmcsiTTyOm9CPePAr5HOvW6E2nYekt0930XOAjAai7kHe3pcZEJNnnbvhmTS+46OR9r0uM06DlObG0EmjT4dfx2BNVGhxzUOdZNub4ufUcICXyNBDGmMINhvno7tup01kvhsdmBre7uLTCv3Y+tWqK4u5JAs09ra+5AMeQ+hXm30RLOysgVNU6UzCy4T6E8g9W1bQLROvoSyO5qQrH0PIfM2u7UYMOk9nblc+FuZmQHn6N3fh1IEoD3I5DKt979BJ9wppGz2lN7jlcCRzrna5wvYpvw30TWR3TqwFVu62Dqw1Zcnyg9JkwHv6ZieDouo09MUkPLYIRfJZLJjy5YtszTLzZs355PJ5CK75mWK/QLipZde2tfR0XHXRRdddNZb3/rW2O23315Yvnz5nvvuu886Dj3ykJl2xiiSEY4jgGfAMkWQBLUFsjwCEvcgmdw6gnjPVuCp5yqJzBP3fPjDPHLRRRzzutcR+8538n7Jkvsf9z5nFl8mOlSqYz0BaWx5EjG+tS7LKQSorf6ZROrGG5E3gyhBqnUYYYx0I28VLUW/M96yZXTb9ferbr75Hdve/e6+kb/8y+rKV70qGvmP/ygUqqvvvkv3W4OA7v8gQGyC+aN6DbVAryrO1RBqtNbWntRrKEdA0mysMoSadS2hc7Rd788wYqGVJDApppqb+Ul3N5sHBjgikfAlo6M+Mzk5fmlT04GVlrV0lQEybl/jgQQymUwRqIBR5O2hScshz6knoQBtIlh1N1928/fP/uLZ77z855cnV1evjnz7iW/7M1accfEBDfRljmiUr09Pc+nwMLFIhOjEBFnnuHyhxzVfLFmy5K/uuuuu115//fUkEgl35513+nPPPfcvFnpcvy9xoKyPaCaT+fTw8PCrC4XC4//2b//2WD6ft047RxBhMvOABoJKnXF1JwnNK7UIuJhoUHH2VIVk3rVIxroVKSfMdiHOZXoUxxe/SKKzk8+PjvpTpqYeeOxb3zqtAwpJgpOJlT0mEdAcRYD6NKRUMExwQLesehIBk916bSfote5EsujjkYaWh3WfcxEg2kgA8xiStTbrGDorK5c0nX/+PadFIqvqR0bufOSmm978ILJoukHHtR2Z3CYJ1DoTJDIpVVsINQnWLALyS4BzgJ8QnMZ79R42EnjwewidgaafYQ0kU977YYD+ftIzM/w1+LWPPPLrW1//+lfcZy3bLzQ0a2/VsRnzp1PH1UgwdeiaywopAmhjupie9eTrPvy62No3rv37TC7TEumP/OtX3veVb/sDMOZdiOjtpbFQ4GLvqYpE+EJj4+w6ziEX11133THt7e2f897HWltbL7vsssvuX+gx/b7EC2khrwFeiWRjxtutR8CoAwHDXgToypFsrZLApDDfvATyQG5j31qvZeB1yGJjEwI825EyBYS253lbyYt0IhqBP0RaxQeA+xEgrSdwh8eA/wbeiACktVUbZW03QbQoptsfjWSqtsBZzJ1OAW/W4z9C6MY0dkiHXlNEr/3Hei9W632q0GPu1ntsAv6jel/Nx7CeYLxrolLDul0fQss7C7hZr6WGkFHXEzoVs3pvrX3c6JRZhDb3DLsrF5xbhrz3U3N//3zCOWfc8yT76k6bvrdpcGeRSXGYwFBJEJqPIgThphGlH5oRQm5/mfliLMahHC+k4cUyvcOQh9rqjjUEy6UYUhddgTz0W3UbaxwpR0BrKUJha9djjhY9+CPAduXxbkAyxGY91jYCT7iYTwuAds3lCTTBAkF+1CaDLEIbbETKHtv0mgYIVlQTCJhVIRn1YQgIGjhY40eHniep19NBkHa1iWeUUAMv6PcdCDi2IpltC7KYtJ0APpuRRUwzCzCLsCTB9byKkHF3afdfo34GtoDah4DbamTC69WxGr3PsugB/VwK84E0gBdThzKU0fFcbzgHEBkCM8hKRiWEz8nEsqoQvZJy5F4aaJuwl3HHLREwI4QJHWf8eZbRFmMxDpl43kCtINCLPDDWdrwFUXOzTK2GwBteiYCs0dsyBH1gA6clCDh2aN3VAHJcX3nvUu2JoxEgW4YsQG3Wh9HAcG5W3qBjMi2PlQiwTui/U0hm3IY89JuRLN5qtOaOfgTBGKFG92tEtTEIBr0bENB4TMdYWnSsbQiwHk5wWCnT7bLIZLWGsCA7oOc0nY+N+v9GBLRtodH41FEdW7muw6URVoUt6pruiInuW4emlQ3My9B0V/YXxidPE7Sgn3cUtbJb+/8IMklNEXjZxmcvVlGsQSamUWRCiujvBuZMHJPI/SwjTEqLsRi/VXFADS/zxBgCJCamn0NW7w0U7LU0hwBhlX7tRUDAvPBKdb+fIyBm2XE5AlBHOufWOeeW63nuRUxlR5CJ4U2qkFfw3k9rY8WY935YX3WrEXB7AgFhs7YyKVYTas8jWe1OZOJIIyDRiwBjUn++k6D6N0NwHk8jdepj9P/9yORlDi3Wqt2uY48jAG8ehnbeKIGOV4Jk1iYlOkxgZxi3+gRk8snpZ7EXAS/jjO/Uc9chmXQPUv5J6n52HWZDZmWPKWBGa8jzhmbbGcQO64X+HVlkCG9FDgHXNHJvrIvUGqce1m0sASgjTIZjc7NmpTBOIvokL3aci7EYCxIvpPSB9z7rnDPNBwisiEGCotlKBGis6aOZ0D5cRlg8akYe1J36vb3GWqddGUEUH4IHYSdSWjkWWOuc2wRsufbaa0t7enq+Ojo6etI73/nO9ptvvvl73vtNCBBaC7o1jJiIki2y1REoh7b4l9YxNRH0KEoJbfIdyISQISycLtVrsbrwkF5HG2HxrrqqavkRb3vb/57v3PLafP7Be7/5zZNvIXCZE0jmPETQ9jBA3UgQ4a/T8W1HgLgMYc/kCGawFUipoFdrt11Is8peBOCbCaJT9QQWSEqvkfZ2quNxPgas8Z6vNTfzQwQ87fgvJls1WVWHCjUhE0tc78d27/2I1rOtU3SzbleOdLkOIW8yXHstbR0d/GsmQ2NrK58Fvk1gJb3g7P9gRGdn59JIJPJx73018Nnm5uYHF3pMi3HoxYvJMEyEaZIg+m+efNYx14Rkz126XQPysBjTYxIBBYeAxRDy8K1AwG7Qe7/Le/8E8hq/l0CdM3eQTgTIXgm8efPmzY+Mj4+/6/Wvf/2amZmZsy688MLzERAxVoDxpiFky+3IA7+KIMRvCnh9Oi7TwSh217avBqShxRbnsgiA21tCC8LjPlm3HXMu1nnuuY+8u6xs6Ste9zq3tq/vhPdfdFH7ewjOLF7Hk9FjVxC6Ja3EsxuZcHr0dyv13lk23oSUWsw2rEKzZFusszcHU/qzY1vTjGWh0ViMexIJ/qK8nDc7xy1dXfyhyolOACknbukvNCybr9D7tFzvZZfexzHnXC1Bd7oTYeo8jUx8Y3rNG5YvP/Xk//s//2hDA2eedRbr7r2XG6680l+g5yh7IQ01BysGBwcrgIdLS0vfl06n3w7c09nZedxCj2sxDr14QRm1hlHWrFvJBN1TBB8/87SLIGB4GAKOT7Mvu8CAsgQBqWrkYa1zzm3SUsaUnq8PZoV+LOMeARqOP/74P9ixY8dhP/zhD11paSknnHBC5N3vfvcr4/H49MzMjMmaGuvCGAVJPWac0OZtvOMaAqNkTMdkolCjuk+V/t5sonoIxgiTCGCW6rEakPJI4fTTLykfG6ss+8//jERiMVizJhK5+OIl7wb+Vu9DqW7v9X5V6znM3LcbAWXTKjFapLXnDxDYLQW972bwYLrfUWQyyBM0RCwLN452/N57nzplzZrDV9XUREoAolFS/f25zzoXv1c/9yoEBA9IWGmeKEf+Nky4qh9tdUcya2s8ihKYKUbpK0MmrALQfOaZ1/9NMlkoufzyaBSgooLoTTfxj8B39PMxX8wFj2w2+6clJSXpyspKm+RKxsfH/wE4JLVJFmPh4gUDtS7imTqcMSzKEUAxjWZjRySQh64dyfqOQOqNkwjorEKyJ3sIdyNAswY4yTnXoT+bKtI+NuAGBLhPO+20Fd3d3fnS0tIYwJIlS5iZmXF1dXUndHV1WVnDur/WEEoKdQRBpRV6Xwyo0HE9TlgILEGy3FWERhHzJLTjmFJfGUEX2unXSHX14c319QUfi8lLzapVMDKCPbBZgs4Heo9G9edmcVas3gcCYp3IJJIl6IPv1uNYPT1VdGwzczA97WrC28eY/rw0nS5vjMXCAmM8Ds5F7N6Y0JNR7A5YrwO5/016vhnk78Pe0NDxm6uLvdUMFl2Hlcpieoy0c9UNK1YEFtDKlTA+TrmW63IEuYAFD+dcczwen23ZTyQSzok35mIsxj7xYhdXjDmQRx7YDuShNYEgK3GYA3cayZjTSAYF8ko+gTyw1oVXhQDTfUgpoAGpqTY752qccyVzX2G991Otra339vT0RAYHBwF4+umnSaVSvqur6w1ILbsMYY6sICzITSJgZkJLA0i2Oo4AeB1BEW8X8pA36/jsgTfzhPv0/9a6vYfgppJFgHAZkB0f3/nYrl2RyKRWvR97DOrqfIZgsDCGZONDCAA+TfCc/A0CYKYhYu3Z5jXZi0it/kY/H6uh79Zxl+v17dJrNZNc6xA0b8K9wFg6XbExn48441JMT0MkEtntve9XTY92Am1xwH7+bF96L2p0XGPIJHgPYVIxqqAtxJYQjAKaCYJOVqc3XfTSTGZr/8aNzhfUDuHRR/FVVbOlrnHEBehZF0lfzvDeb89msyYFQDabzel6ymIsxj7xvBtennEA4Tlbu7GZlx6BAN5OghBRD4EmZYJA3ciDap1z5rFoQN+li0j1BEGkHgQQ5tU+/shHPvLjPXv2/MFZZ50V+f73v086nX7wjjvu6NFtN+n5swj4Wc15iNDiniJ09pnozFME8DgCAYjHCLZTw3q9P9BxFggt9EcRBJzMHuvXwI4LLmj/+vR0c9Mpp0TcnXfi29qe+OzXvnbMlwhsFWOmGGBZqWkSWTCcQoB7kKDv/CoEgO/W/TI6JuNaW/u4WXtBeONpQAA3iUy6A0BjZWXl5KZNwzdHo7wyHqdkaopp7zmnpYVfFv0dlKBcelXJe0boYmAzwVl8kKDZXbymkSa48Bhtb6LoOmMEPvWA7tMIJEpKagbf8pa+H1RURKpXrsT95Cdw9tmcd/nl/EQn90bEXGJwvjG+nLF169ZEOp3emEgklkQikdjU1FQmEokc09TUtGuhx7YYh1a8FEBtzANje6QJwLANAaxSBLQMaGp0mx4ki4oQuhzN0aWB0IBhi3IrdJt+5AE3Ot+M/n/qiiuu8IVC4aNDQ0NndHV1bbrtttu6kex9itC8kkSy1e0I4B2m46xCgORhBCzX6vF3I8A1BZyIZMXmVrOMYK21i0Aze5RQb58muHWPIpNBbySSKH3f+x5sKS09uqGiYvTfrrmm8iGCfZdRGU1o6WjCwlmTnmOCUFryCEhPAv9L6K7s0/tfrduuKrrHZhpsE2NBt43pmJ9GALH0oYce6luyZMMFhQKrnePG5maeZk7ogl+c0JBjVmnVyMRXSeigLGaJWJnMXOenCYYI4/r/Rt1ugNAwldV7UaH3YhfQ96lP+dTQENdkMrQ2NfGpj32Mh4rGaPK4Pf5Z3NJfzujt7S3L5XLvd85VxOPxG+rq6haFjhbjGfGigRpmnaVN/tO0kduQh/9RgoazvYLmkAe3DQGkxwjNDAnk4TRXbGuiMQ2I5YQa6x4EWFK67z7u1c65lcCFes7tCAi0EholtiM13iYEsD3COujWMZ6oP+smeC5uIGTIUwSgHiE4pfcjreFWu29BSjfj+jNrqnkU+LIqzBmI2Kq/vWlMIMDZhADTIEHJb1TPvULHXYtk67/R+zvmxU5rNtvVe5oiaHkPIZOnjce6MquQN6J+tIbvvZ/UcdrkYML/5ltpDBizSCvRz88y+w5kcp61TSO01tcQhKJSet/3EoDaVAwLekyrS5uTUN+B6Hloc1Qj0kz1DEf1xViMQzFeDOujOCYISmy2QNWLPHwrEMpbLfJgGfDs0n0ta30AAdByAje4CwGXJQjADhEcUAxwtnvv+5QeNte9ekrHMoCA8mkIkO4lOJu8ikBLc0hDSDdS9jBvw3pCJ2ZBf29lk1E951MEZb5RJEvvRMBuAwI8fXr+FqSEMoGo1RkTwQDKuiDHCY7pTyEAX6rXE9P9TZTI2B8RQjnB1iCsFdy40rsQYF1LaE6a1nts1MRqZIHUlAYbtR3bWDHFYdl7BgHilG5jC8PdCId7NitQ2l+SULZI6nnNYLgL2G1lLZ0cWnTMJjdr5ZnRA21j997ntfu1zIm34ovPVBZjMQ5yvFRAbWL0pj1d/ECnkAd+M/JAGt+6FHmIc0g2C1JymNJj1SEZ2U4EWOr0WFYm6dGfHe6c26Ot5iNFjTgpJDvNIqC/CgFOc0hvRbLTBxEATxNAcRehTGG6zNYuv0uv1xpacvplC4zF7tkxZBGzBsn+7R4NIGBqHYp5BLDaCPVYK9Xk2Vc/u5bASrGSgrE7jAVRR2CZ4L0vOOdmdN8+BECtm7QMmUynkUlrQsdkpYhaApNlUq+xOBueLgLTUh2PSb1uQwHaORdR+VT7Mssw0/lo1593ExQLI0XCSg16fcYA2Y1k+S9Ev2OC8CY2bz19MRbjUIqXpPQB4Jyzlt8RwsJUA/IQWnOKdSlO6c/t1bUVAfMOBNBNIa0VAZSdBF5zVPeJE1T2nB57T5FynkMsjaoQ8HBIq7oZBzQiILFNL+FEpGmmBAH0MUIjTrVu+yDwLd32VYRyDwR+8qMEPvhmvUazuTIVu2lCq/2N3vtfOeeWIBPWEDKBlOlx9hImmh4CA2IzkpWbdoe5w1t5yQSNBgjgbZOV0fEgvJkM6XWmdd8BHccUgREy4r1/hgi/e6Z5rTULjer9scVCCEJeJrw0rl9mKDGmxyk2rI3p/k7vYw5ZaH7BIGvlOu/9fg0QFmMxFjpeSqCOEDLmCAIMVu7IIMCzjUAjswaZMuThNdpVD6G9O4VkexHkVXiU4NA9QtB4MLAZ/POv/vkYS/mPgYmBo2P9sV23XnLrV6bGpszU1jr5rE5dr/taPbURASwzrx0mOI+kgR8hzI51wEl6fgNgs73KEgSQbCHU+M0RpJa8BfjxsnXLPnbmxWeek0vnUuVT5b/8xvu/8en8dP5pPYYp5nXrPV2iY4/rucyYoBvJxBt0HB36vTWHmEJfmX4emwhyoFb3tVLJpG5Tr5+FAfbYOedcs3L58r/9xMREvHHZMvcfn/oUf6sZsk1k1hQ0rGNsRjLjAUL2bc03Rqcb0zGbZO6A/v5IpPRkLfoz+nkNE2RzE0i2/owFwb6Jvra8z39G79lnm9JNN8/dRieXaqT7dcG0qnvGe47y+GuBKo//ZHO6+YcLNZbFOHTjJROpKRa/ISy0maawlUNakAfUygXmCAMCkD0I+NUgtcgcIlI0iWSf9fp9jiBw34cCcCQWaRyqGnqwLF52+p+d9Gc1kcbIsX/0L3/054Sa7FHIw2tqbUkdYxcC1Fnga0g92CFZrzVy2KKgLWSZ67bJvA4SeNZWO4UgQ3o40pAOMHoAACAASURBVGTTCtSmqlKpkz5+0rtWL1+99EMnfKhuODn8xotuuuhSXeAyCp51Na4mcM83ICWddTrG1cgEU0JgSQwik+Jevb+PI5PDNqDTe9+lolUFxL+wn1COGkPA8HE9TnVV1fJVyeQl/752bWzdBz7gGp56yv/VX/5lz9eRLkvTUBkqOoYtwI4h5YkB771pjtcTJgBbRDTtlRrCoqj5YRazhnZr27oxRqqYE/2T/elcIXd/Kp56Y2Wy8kTgm51jnW+Zu502TFlZaUGiZ7ynIe/zvyyLl51bmaw8Bc+tXWNdr1qo8SzGoRsvVY3awjLkEkIteAR5oHYgIFWPAG2//t4Efcznz2y74gi47UKAo4HAv84SwHrMez/onBv7wD9/oG17ZnvDN8/6ZiQejbO2bm3kTd9507Eu6o7xeW+WYSVIV+Qvkaz4BAIoZ4HzCQ0h5urdouc7HBHj31E0BuuMAwHMUWRSsYaYEaQcYtrbE0Drqe849eMzzKQuP+NyF3ERWspbohf94KI3OufW63Hyum8zMlHsRt4KKvR708ZoRwAyhwCrcY0HCCJLjYQyQwJm2Q/GXgEB2npkArMa9k4g9va33/5n2Wwk/tGPRiLOQXm5i37yk7XvAf4FeVvIECat6aLyUz3Bhdza/Q3UjU+f0c/8CIIG+Db9vI1JMow00hRgdkFwFHFTTxkbBWA6P/2uZDRZUpGsMGmD1Eh25O+B7/LMWFCt6rzPv680VposT5ZHAAq+UDo2PfZxRCVyMRZjNl5S2UfNdkxneQzJCs1stQ4BlRgCfBUIWNtC2ggCLvZ/e+VfhTy0vQj4Wb3SmBrlzrkq7/1MyxEtqZpUTT4elXJobWktBV+gYWnDFNpkosfvR0DApFqXIuCxBQFDWwxL6qX1I2AbQ4SV1hAabiCUNUp1PwM6cyBZQmjO+D7wWHVrdb4h1VCIqPJmc7qZiekJA88BhMPch0wq/6fXP4WA2B3IRJNA6uWmkzKqY87pGLxel7X2ZxBTWyt5oONFSwh2HQZycaA2EimvaWry3npBm5thcjIaQ4SROrTjcMx7n53DojBJ12XI38SEXptxma100kpw8elFJk57Q1OD3X3LE1qfnkaAdtYdO+Ii1dFIdFYgKhaJ4fHPyLyLrt3a/V/2iLhITTQSne2SjEViIM/JYizGPnEw9HnHCWUFEzsaJjQ7GBi0Euq4eYLd1C4EKFYTasr1CIBabTVPqAWXIJlVTbQQfbBnvCfaOdYJwMNdD1OdrJ7p2dVjinvWSGN+iEmk7dt8HHcS9K5tPPYaPo5wo7ME84LKouvu1Gup0/1GCQYBpQTw3wOMdj/V/dT24e3RoSmR87h/7/00p5vH9TibCJnxoN6/VQS9arz3OxEQN2EiY8WYsJInNN/Y/TKTAKMyZq3Gq+Bt1MrlyNvDOmB9e/sPRx5/3M22u//yl75QX0//PMA8N0z/uwqZMMZ0fLYeUaVj24ZM4qZGOEaQe7WF2PliWM8x+zl4/JPZXDZnw5rKTeXwPDnfzgutVe2935jNZWffBqZyU9Pe+0df7nEsxqEfL9li4j4Hdc5U3/oRgCkncHi7EDBoRh7GrQRn7ajuU4XUk8cIuhbWWNJJMCUwhoBpRg/8zY/+5vrHex9/z4ktJxbua78vuqRvyTduvOTG/4+QHa/S4+VQgXyCWtkPEIB9PQIS/cCpSO3csvI36/h3ElrOzei2meDm0lK0X0LH/jSiadEKnPjHX//j9/eV9rUd03hM/v6990eb2puuu+nvb7qW4J5iC4bmp5ghtF336D05Rq9nFHkLqdBrGiKsBRjNsUTPbW8yNjZr7TewMuEn41f3fvCDk//S3V2ybu1aCg89ROTIIx99z5e/fPwtVo6YG0UdgNbyPYmA9BJk0hhG/hZMG8Zq7MPq+tKITM7G5pnXFqyIbWT+ja57vPuHERc5PeqiTOenZyIucnxjunHns+wfQ6VntY7+cka0a6zrvlgktj7iIj6bz05GXGR9U7rpRZkGL8bvXhwsoC5DHr5+5GE/DAGBSsICVw0CZo967/v19bWYaleLtE33IWUH01suJYgQWUtxWrcvB4avuOuKEycKE6/e+fOd99726dtSCLibMlsrcKYetwcB7lMR0NiDLGKWIfS3BqTUsQOZeDYhNe1leh0dhAVHU+JrR17fW/S8wwTNjqf1nKPAnwBbPv6jjw9kyZ782K2P/eKn3/hpDgHyKT3mJOpfqNdp4k/mm2iKfUcTOjfNEd5KMSnd/kG9Z8cSFgD36kdm7eQm4F+PTJYG+GXxeLrv0ksHXzM9HT8Sdn3luutWDiP16H1MYzUzNfnYSWTSWa7nNRbKHtVwMVMIEKAc12NYJ6ZNTn3P1UWoVLsYwgIpIGD9Bu99c66Qu2Vp5dLnlF8tan3vWYAGmGjXWNdbnHOVERe5qaGsYZHXvRjPiIMF1PuI3zjnDPwsQ7N69JHIA3a/ZlFzwdo60fYiIOkRkDQu8rD+O0BgFJgG8049zvkIGPwCAcrD9Gcp3SapY92i+64ncJDX6JifQiaCGkK34Az7NmeY2W8WAdp+/ZohOGQbt3gKse76JVJvNv2R1frvZkLTTwHJ0GsRME3oeK2Ne1DHOabHbtafTegx1iETTheh+acemZR2EYSZWghlk0ECFdLaurd573cUfcY2Gc9moqr7UkMoccURkDb65JPe+23aRWoUuyySReeLjm3ACzr5eu+fNctUYK8HMtr49LxCaYa1vASu6ouxGAcjXmrWB7CPVnVawbebIFBv7dJlSI31FQiYPKqr+aYtUUsQY1qGynR673c758aRzLgRAQSPsAI6tc15GVJjHSRk3NaNWENoAjHd5hgCZCsQALNOQxu7Gcm+AgFwsxObQQByqe63BwF6axqp1muw+uw0kv2OIep2poVhLuWPAeciDAjzctxG+JzM+LcUKQ2ZSXC3bmsNRvVIHd3WCkx8qZNgdNul9+BIQvv8IELfs05DWwiMIPKgMV0wxns/ob8v167HGKGklNf9zJFll46xXJkgZlD7DGDUCSCh9zmm9znunIs8W5nFi+HyGLKwOPV8edGHolb1YixGcRzMBRR7hTOu9BShKy2CPMQeqVE3mGC6ZlYDBAcYE05ahuhRx/V1ewsCSnVINljrnHPaObdJz7cOAbUepDZ6jP67E1moTCGZ3TiS+dnDanXdOAKGRnvrRcDD9CjK9WsGASd73d+r56xFgNvq1eV6voiOIYKAclZf+00PZI1ut817b4uAOe99TsHKFPEqkYnGqG9H6PVN67gndMzbCM0ivYTF3cMQoK4CdnrvZ7U1NEyudRyZ4FLsG9YluILQxFJDYHmMIG8j23VMVQTvyd55QDqq15JVyp21spcQ/DmfLSZ026oXuDB4SGlVL8ZiFMdBA2oFXBMaAgGIGQK1DiTz242A4GGqV2w0PwPrOgLQmD1XUh9yq/mmENCpV7CeIdSV7QFfhgCm1+OZVkgZkk2OI+C2BClB5AnlBIcAzP26r9HHvF6PNWW06s/LkOzVaullSF38OL0uu5aknm9YX99ri86bAPIKOglgyjkX13rqOr3mpchEgI7zaaQGvAOZyDp0PCUIMNcS5FZLkRLLL3Scy5xzrc65CudcTDv3LBs2Lnwt+4Z9libgZC3+Q8jk2kMwKbbSzRgw8yzZsdHohmHW6dzkApLzbD8bWlseJqyFPN+YQu5Ven8bLsZivNxxsClJEwTbJPMQtMxzgqCW9xSSma3V1+lisAZ5gHcRxJBqnXOlXmIXkrHlgSPfefk7T/vA9z7w9Bu+/Yax933nfdc3tzVP6zmmCTXRVgQwGhGwM7GlNAIwxtEeJriAVyMAaC7mozr+AjIJ9SDAbQp6LXoOM5+1sotR0NYcc8wfnfCe9wx//g1vKIxfdNHETysqmg/TfX6kx1mHAPkSpHS0njDhdCEZ8jhSQupCgNf0pUGyf9PRXgW8DpmcOoBd3vvt3vtOBOCH9T7V6H1ZSegg7Hzd6z539HveM/XAm9/sJz76UW5ZterccmSyWVH0eY8gE5TJnE4h5Rj7/Pfq9ZXPzXqdc+a1OTqnLdyMb58TqAF0gh779rf/5xUdHfmHurvZ3dXFRwk0xefa10SnSop52Qc7uru7z+zq6nq0q6trR3d39/tervMuxm9XHFSgLsqIyvT7EYIBLvq7JcgDbUpuq81mS8Ha6rBJBPBAgVOpWehC05PRRHSssK5wZ1tN25rrz72+JF2ZPuLcq8/9R6TM8BQCtiuRBcoagmD+wwRvvhEEfBMI+A3quY3ClkdKD1bLNp2SCMGh3NxgHtH9LdP+jV7zqkQivWHp0hs+dOqp5XXXXedKstmS09/5zsc+idRyjT98KpKFW2v3XiSj70CkY02v2TjU08gbSoxg5pAiyIhW6PF3ADNFk6JphJguRynhb6PpTW/6YqX3H7n6nHMS9f/4jy7V0+Pf+prXfOMWwmS0Te9hKZI5m3SAaYD0ee9NitSEmmYzVwXGSqTkMZf1kNFjJA+kLLF163jyVa8656bq6uiGmhqWRSJc3d3Nn+xvP43ict1Bj+7u7hXe+x9UVVUdU1NTsxL4556enkVj28V4RrwcJP8JIKaay5ZlZZBMqxsBtFoEkLsJNU5gH7A2J5cxQrmiwjlXqdtNfOIHn6gay42VX/zKiyNratdw9dlXRzaNb2qraq7aoec2TY8YQR9jO0GwyOripgXyFPu2ZB+nPzdQM9/FcSRjXUJwKbc29BG95p1IBvwIsPPUU/+2qaQkFvvwhyPuiCPgiisi0e3ba09AasbL9F6M6H3aQ2igsUU6h5SOxpCJ4DAE/EoRgD5Gx7tKt7Vstg7JghuBFudcnbIsqvX4plpo7uulLS3n/GVrK+6P/zji1q2Dyy5z0a6uljP0/jyp96iEkPnaIuKIdi3O1r31+0lED9oWSe0NYL7Glox+mTzqc0ZZWdnbS0tdJJWCRAIqK0l5z1/vbz8d26yGuSULBzO89xeUlpbGS0tLSSaTVFRUpAqFwkcO9nkX47cvXg6gNr3lMoLvnwGZlUCaCBKdE0hpo94OUFQGMVCcRgAlgzxUNc45F4lHqsqT5Xlryy5PiDXf6W8/PUfQ3JjS46xFstatBGBZhmSg5vBibwQ5gt9ikuAmbouL5r9XjgDrVuTeHqfH7UEA3Lopu2tqjuirrCRvcFBdDdmsi+i+TyOZ8eN6XPNuhLD4GSOwVawOXsyBtglnm14Peu32FmBt5XOjQDB3aAQqpqbGW6uqCrPAVVMD09ORqL7JGKWyhNB1mgL658mOLayxpEJr4SVIySM3d0PNwrMEBsv+Ih2NFrWUy5/C86k7m73Z3IXTgxHlkUhklnkViUSwxGMxFqM4DjpQ64NW7NyRQTIqa+bYi4CCCe/3IWDWqlQtO84MYYHRND/qCEL9tbnJ3AN9k32RbYMiMX33rrupL63P3vnPdx5LWMzqRyYGE8TfpvubEpyJ/9siojVk1CHlhnYEFMsRUJ1AqIDdBHaJdf8ZL3pEj7UeqevWbNlyU8/27ZFop3S785OfeN/aWhhGAM7curuQCaKU0ElpZaIZHf8WZMIoECRHhxDt7Sd0+1FkMmnX+9eJ1OSNRD+kX9Zibm88hwMn7937w52PPBKJDClD+Uc/8vmmpkKXC36Z5Xp9eeTNYQRp6583K9XM1RZg6xC+/XM1ethkv99Wb+d4KJOhYO0Bk5N+xnv/6+faZ87YZst1B7rPi4gHM5nM5Gy7+9RUxnv/fy/DeRfjtyxeLn2DYvEbkyntR7JDE62vQTJcE+7JASuKF3aKwNpkU23xaxCIX3XeVTMnt5z8hT/93p8WPnjnB6evvufqfE1fzdUIp/hopDxQRlgg7NPjlSEAa76OTQiAF/OIYwgIGdPEQG2i6PseBDCXI6Bpove1hIVUgMmNG2/PtrY++PAFF/jCn/6pn/7yl8nH4z+4FGGuVBRZVT2OANV6vdYCYeEvS7A7Mw5wr97bLgKNr0zHYfVh80/0SGnkFAKfvUa/rDmp82c/u+J7RxyR+fn55/vChRcyc/PN5Ken7/iI3s9aHd8oQrkz9/UEYZKbL8Z1XKae+FxhjjL7LX80NfG/3nNTTw+Tvb1+fHw8P3DHHf95+X6OPzeKy3UHLZqbm2/L5/M/7+npmezp6RnPZDJ7E4nExw/mORfjtzMOSmfivCeSV7oUgRbnEL7wFJL5tRFEi6wJpE5/v7W4tVczORO4jyMAalxfLv/+5cso5czKksqbLn7lxQOIG8sKBIyNn3s60q7drud5EwIGm5DSwb1Iht1CaN/eiADhMTr2cYLQfQUCfHkERLsRsNqDlDGqCfQxK/s8fOWVE9tzudQp3u/9j2uuWQqhRGRt5z167A16vI16vFch4DuMvBEMEVgyTUjGPI5kxUuQunoMyfIdQUHQFOpqCPQ5mzB79HeVQN8VV0wdVSiUrN+48Sv/dccdf7ZEx9oOtM/V4ijS+pg1xZ3ze3OFiSAKfM/ZaKKlsHqkIWd/wE5XFxuco/m9733bAz/5ye0J5E1lXr2QZzlfI8JdH9jvxi8yenp6XlEoFKqam5t/SpjMF2MxZuPlBOpZ8RuClnIKyeh+jYBGA1IKmSYwMlqQh6x9zvEMrJcRANZ8ASOIc0fWOWcUsipEf9oW1NqA/0HAbTXSEWgmuNY1WYNkx0MIsG1GQKwFKdssR7JaW4gzRT7T1rB2basR9+jYahEw/g3ww6IWbGtl9jreKDJJZZ1zJyNt578gmAlsIZSOzAItR2iwsUXO4whlk7Te1z1632xSOEx/PoS8TfQR2sHH9NpMYKlO97UFznkdvZXzbSA5U/TzCPJZGyhFmGN+O8+xylGDY+9997NtN89+5rnoEfbJAf3BF4k99fkF0KpejMUojpdN2tHvq1VtGVYfSldDgCZDsGWyRa9+pMmles7xTONjL5Khri7aPocsSFYgQGmLbJsQpkITAkgTCDAepue25hLreDS3kgY97VoELDoJLAozoTULsSr9vwkfWbt5HMlszT9yWq91VitZuxCtPJHX+1SrIJXT7U/QcRmDZKZo2wSS6VcgLebH6vGNidKOZONZZEKxSadFx/QEMlF5gp7IgNaPh5BJ8Ui9P1u99x163rQ1K82JIdTFZU5t2bozbVxR9r/gZzZnKaMVHkgUNcLEkL+TA40F1apejMUojpdbg7dYq9rMba30YLrVZt46RmBUTCCdc6XFB1Ow7kNe6+uAVUUt6FmEM70CAVePZJGDCLg9igCaUdOm9Zzmj1hFaPmuRB7YfqQ78edI1mkZZQeBl20WTyahahKfVvKwxb4RQmZefE3WSl6GgHwCyaSPITSmmNa3dScuRWrwTXqt00jpo1/Hdj/BzgyCOUOjjrsH+JWKLpklltWecwrCptXSoddtHOxhPXb5XLDW7sNBvfZqAK37liJiTjP6GWYIujDzRtF2B0TTm7Ov8dvTB9oi7hdYq3oxFqM4XtY/QH1gTE/DuhZ7CVn1GALm1qVmXYU7dL9Vcx9mfYD36nFanXMtRQBRj2SAaULG26DfP6xjWKnb5REQtC7AtI6vG2F3TCGiST0IyI0SFiWty7GcIMlqTtsJgsZJH6HmO6rHWTdPhmjO7ccRaHYDSOklgyz+rUG0PYza2I+A80aCQFQCKc+UIgBrVmm1Ogarge9SQSxrPBkiaFuvIXQfbiaUmIobjorBep/MWMsGI0jDik16OeRztrCyyf4yXpvwnhdQF50jj2iBHChH2qh6i1n1YixoLESmMIFkY7bwZh2AtjBo4k0pgqN5CgGhGAKs+4ROANuBsde+9tq3/dEfFXpPO62Qv+CCwRtbWo6rRUB7TP9dStDoSCDAbaYGcaSsMYUAaz0CKE8hk4E1xLQQMucIwpboR94OCrpvLQK2BgqjOoYO/XnpSSedtPIP//AP//n000/PfuhDH3rss5/9bLWC2XodW6lec0LH1kRgcKR1rE8BT2gZIq/nN6Eqs+Iya7C0XlMPwdTAA1EF6WLzhik9fzOQ/NWvdrZ0dvrHOjv9eEdH4bqTTz57hn0bjoZ1n4p5wNromMaEGSquFWtZbIL9lzVMpCn9XGDb1dX12q6urj1dXV0T3d3dnwdMeW+k6N7tN3RcxtU/KA0w3ePd53eNdXV3jnWOdo93X8kBtLsvxu9fLARQTxLEb8yXcC8CJMsRMMsSHqhJBJwyCDCVO+ea5x7Ue58999yrNiWTH/302WdT99//7dzKlRW1Z531s3chGXk5cBqSIWYRUJpGwHsvAgAOyapzSD3WEVrCbTGzoPseQZBKrUL9A1ExJQSMU3oMezsYRUomXbW1tYXq6urXvetd70refvvtLp1OH7lp06Z7kLbxZkI7e5X+fxey+LgVyeynEeCeRrLVeuRtwMDFtErGkIXTFTrGpwjeiuj2tQSQHkfKFNV6rTsuvPAvplpalt1eVcXqhgZKEwn3zu9+92eXoBm6c65axbCGeBawJixaxgj87eIwBs1zUfqsTl3Cs2TVnZ2dS4HbqqurlzY0NKSi0egHurq6Pgqg8qeW+R9ondve/Er3t+Hzje7x7nXe+2/VpmobG8oayh3u4q6xrgte6vMsxm9/LIRP3Kz4DQIoNo5eJBM0m608QScZoEI74QaBpvk6uE477ROn5nLR5PvfH3E1NfCxj0Uj27ZVNZSUVFi7eB0C/u16DlN7szp4GgHFvH5vXF+ztDoJAWjL7OMECynjWtuiaTEX2Wrh5lgePe+881pqa2s5//zzqaur45JLLolt3759nY6nE3lD2IIAey8ieWqTyBa9h69E3hCqECAZR0oeXfrzI/Q6diMUxiEE8E2NziYnc84xamESAdMRoOOqq64/KpmE0lKIRmfbsi/wIik7qvvWqmZ0MViXwSzzogop34whi4v7ZI6a8Y4hk868/GX92zFlwXmBOhKJvCmZTFJSUkI0GqWioqLMOVcsdjSKTAgHVAIpKte95OUPj397Kp6KJ6IJYpEYFcmKlHPuAy/1eRbjtz8WapHEutCsCy5FkORs1t/b63opKhSkC0F7ECBYpnS24kiVlrqCPX5J/W0qVZ9EQMyA087dSJDl7CZoUdvCldWKjSFhzIFiF/RxHW8NUoMeJ4jPWyYdRR50Ey2qGR0dbSspKZnNLEtLS8nlcg7Jlh/33rcr6MVRMFTgs0x3p45nLcHtvZjFYuJIG7332xDQtesz8IkSGDGWURvjZhKh1eWj0XgiGg1/Ks6B994WE8f1/sURdo5l8hmkO9GaWmxCHCIINs0Na4aqeA4QtS7FecsX3vtkJBKZHaxzDu99suj31jAU58DB9+BoVft9lfr0kg9qk81i/HbGggB1sfgN8nBGEfAYYt+sGv03hjycFZpVbdffrS5+oBMJfjE0hHvkEfn/HXd439KSzQwObjexf6tPlyFgVqHn7CUoze1CMj9b+Nut42kGHkIW02oIgkhPEBT+2pEHzbJeA4IJBJhaEaAv2bhxY9eOHTuiW7ZsAeDmm28uLF++3FxdMjDLqy5FJpFKZHExjQDNIPC/et+OQOraq5Cae1bHtYug/W0O7suRjL0TKZXYW4W5tFub/4CCGoUCD2SzxPLKeh4f9zNTU5MPGwtHm1UGCU1KMb2vRnOsAya899NFFMSSeWrZxfIAz6a1UUzTe4ZDkXPul5lMplAoiNz1xMRExjn3sznnyaC+lPMdY544WFrV907NTE0VVJp7YnpiEvjJS3yOxfgdiIWkHdmKehR5CFIIYIKAWgZ5YK226YCE6lDPICCURIAHgEsuYeDUU7n0ox8l/7a3kfvqV31uaOiTX0fA0WydzA+wSb/qkczaDE7NtsrqzSClBI/cr8MQKlwXoS18i17P8YRaptdzmuv2KAKGpcDQ9u3bx5YvX377Bz/4wcJb3vKW3B133DGdyWQ+ottMaw11OYH1Mabnn9KFQ9PsGEPav40+txmZaMyowcwYvP7fOh6zhHpwH1KaMEAdLF7sW7KELcDHe3vJ9PQwMTnJ3v/6r2/8FcL8qNT6dJYwYdlkO6SfkdmWoWOxt46KuW9FCqJZ5tGs1t+bTsi85Y+mpqZfA5/r6enJdHd3T2Yyma2JROJv525HaKGvmud3c895ULSqm8ub/8fjv9Uz3pPpHu+enM5PPzaTn/nkS3X8xfjdiZetM3Hek4u8ZgTl0SKAYYa3u/V3Rm2z7DSPdrFpm28L0lZsWtVcfz1Nk5Oc2t39+F1f+coxpyDNMCkE0O5DQMNAuhYB2hVIdjlEYEXEEcCzGvYe4EKkpvtdHbctTL4OAY5NKFMCAeUphDLXTChHPIlMDg9+5jOf+VUmkzlueHj4h9dff73Zak3olxkJPKndiRt0TJsQELf6+dEION+v53TIRBP9/9v70ii5quvc71RV19BdPXf1pKnVEpIQEkKAEKORQMThOTxCbAWvCJM4xisvDi8kDm/xMMQSdrCRHQwmL/YDHDsQY2KsF5IQ28hgYwMekEEMGhCS0NStqupRXVVdc9U978feu89VqVq0pG564H5r9VKp+tY9597q85199/BtEBEN8n0L8T3t5FslOiBS0bkd5Cop25uwtxctxSLmtLVhOwDLViaeB1WCSoqf3Y0iwUMFWzk5PwnJfPr08c1tpaJztIrHav6+IixedQKOHj06WykVam9vfwPlg5dSxl4PUu4bLneM7Vg36DsrO6czQXQ42qGggi3Bll2jzdXBBxuTTdSyUKT8OQEilnYQ0UjQcZB/L01RRxaWUqqTf7e3VIFNUdeQTlDWw9UgsnwR5B7w8ljSv/BykJXcCyJX8fs2wWRPzAW5GVJ83DGQuyMEqgT0gMhuLohILR7jNzyOBP6O8Pl2A/h/IBKrBxGBuB+yIGv4sNZ6gC3PpTzvej7mXdCGdjaP+SbPIcBjiJ51kceQbucBkIWfAuVku0GbYQ/IPz5mhgmq3wAAIABJREFUIuLA30gLLa11hi3hFtBm2MP3tYHHHmloq0z38ALIH27Xc5EAaZ8ukT9lIu8EbRAHx1oWPsr8ZV4njFPm2HpwZemZjOnAwalisiuuJDDkB/sdYQpghJgLIMIaAhGfdL6WuR/kz3aWSbmSPGZpSJCAaWgr44ranRuUpvcaiOAOgXzSw6CFXAvgehAhvsHnEYtxGFStKBWS4sLx8vlbQMQYhsmHjoMs86U8txo+z36+JhGxGmTrcwFowxHZ2H4+Fnx9Uf59nn9XyXNJgch6Hkwj3h0gC7wRRtJVtEqaT6USj10VIk3bwFa25MjLxlkD2myzIHeJ+LYLMIHI0iyehO2zpWNK8wEpKDoTjNkFgvdXq9qBgxFMKlGzVSJa1ZIdARiNafGnVsDkNAtZ19jO8S7oWuZLcNGWEuaFWVgJGLISIpPWWwmeSxPPpwNEcBH+/yKQlfoTGNW5GhDRVsIU5jSCiE/6GWZBTwgi+C9l9HNgejaK37zfRkIuvidngQKFHTzXHSBXTQJE8LLZvM6vl8A0la3g80tXmAGQBS7iSnkQwbPS9HEpjGMGuy2k63mQx/PyWFINKS6YHI4n6wxfS6U6Xn9cfNH+UbItpIz9dKoUS+ceB8U/TpoFot9frWoHDkYw2RY1YMRv7EHFPn4tlXkScZfMBQ9sVWwcyDoEWkCzN23apG655ZZZIHJsAJFpGkRKzSDrvAomA0TcL3kQydTA+Mdf5dezAPwA5Jt28VwKoGKaLChNTsi/DWSdy3HSG3IeTAuvCgDVbq+746Z7bxLZV0nrqwFtKEEQQVfwPXkHxjUS5fvQCgowZkEWeyWMfChg8rmzfN0KJkC5F0SGGRgp11oALaNY1e5otLw1qQkxEOnW8zxQmmuN48naz8dIkVNNCSkPgyzzcl1PpJfiaB1RPOHw2IpU2G8u479XsHDctap37dpV0dXV5aTlORgVk07UdvEbmLxl6a1oL8GWMuoYaFEFYHssZkLo3bBhw0e3b9+e3LlzZ9f69et/sWrVqqUgMsvDtPGqAlm5bj5nI495ACTU/zbIQmyEsZhTIJeEWPdiiSsQ+ewABSrTIBeEFyaYJy26AON777vipiuWrXtk3QP7m/d3bfjBhtc2Pb+phSsMV4MI9gjIzSJiVfaKQiFYP6gE3A+y/gdA2tXNMM0CDvOxHXxNeRjrPQrakBL8fhXfr+N0N8JhXB+JoM+yEI9GsbW390Srkp9i/KBNJQZW/ivNtebXOZCrRAhKlPbqZZOwpetVlApyweS6V5WSaySCT4TDOAYgHo1iy759Y3KPiMb1SV0g7F+X1nJnjGg0+j8bGhpibrc7HolEvo0psCYdTD1MlT8K8f0BxgfYByI7BTPPalsZMECLdOTRd/PmzceOHTt236c//enAyy+/jEsuuSS4YMGCjTCl1vNhhJnqQMQWAZGniBCJbOk+EOmsBhHZbhDRnc2/T4EsXKlI7OXjpHpQgYhW5FMlq8ECEGxd0OrxrvNecOeVd7pe/OSLWBRaFDo0dOgFUK61HxTU26+1Fn93AET8XhCH5Xg88dXW8b9dMJKqUuAi7brkuhOS2cEBWJGYlXZctQDaxI3U3482pfC9xkbUt7XB7fXiQ8Uivl7mewzy2JIeKLnKjaDN1Z5rHYPNstbHK+2NVC4yMYquyEjOPJN4jO/HiDUaDmMxgIdDIQTb2uDxeHBtMIiNZeZ6HGwuEB8HoU+GJB83ZrnVcohGo6u11ptDoVCgtbW1wuPx/GE4HL71TM7pYGZiShC1NlrVftDirQQt2gKMD9YN8iNKD0LxfY48+ubz+TVer9d93XXXwe1249Zbb1UHDx6s93q9kt1RhClkKfAY9SAieIdfrwJZnX0gq7IFRDjvglLwLgOR+yCIkKTM/FxQ5ocFE6gMw2RwDMKkqaWXX7N81azqWdaVHVeiwl2BWy+61X0wcbADprdht+0Wufh9LyhLImuzXnt4jCUwucvbQb7tdtBmIWXuXfyvaFwLpBdlr+16ZvH1I5fDVV4vil4vVSXW1MAP4Dr7d8gZHEGQGybDrpBjMG25QjB64QCR9TB/D0LWedvx9vmNplktwUq7dfthvx+oqBiZa6VS+BjGAN60cnhvF8i4aFVblvWRyspKr8fjgcvlQnV1dZXL5brxTM7pYGZiShA1Q4JsEuiqAC3qGtDiEe2Pam2U0DKwaUpYluWxVQ9DXjMpVfH520FELI/fIrvpgSmtFh0N8ft6YVwv4LH7QWRSgEl5GwJZ58Mgy1WU9AqgzafA19Pr8rjgUq6RFC+XcoEzvtrALh+lVAUTchWIkFMwWhw+vh4phVYg4hqyjRnkcSUdT5od5MGWLrsZpOdhGsY9FAKV6SulTlR0K/OedLmJ2d9k/28//04Ctf2g77Oe5yxk7WMLOglSyJOA42ia1VkYYuUgctm/6VNRpBM//qjdwPU4aVXztZTObSqtSQdTBFPmj8ImfiOZHiLUb8EUdohV7eUFHQMt/DqllKumpuaFZDJp/exnP4PWGt/61resuXPnprPZrEh2ekDuCy9MQUgNju9M/gZPaS5ML8IcyO/8Ish/LV1jRAipAHKN/BBknWZgrPHdMI/8lfz+0I6f7Nh/JH5EbTu6DZa28OhrjxYX1C84BFMdKd1pOkCkL0JVSb6OOSCiq4B5IiiC3DtNMEHQ5aDcZdECsWAa5NotXXlPnhL8oOBnDYAXczl48nlAayCRQBbAVvnuuBS8AkCsXLEMW8r9fF9qQCQoTYrrYAKDDfzEJAHYOpt74QTNam2EnPw8PlwuPJ/JAIXCyFzTAJ4pndNo4Ke7BCjb5GTByDPWqtZa/zidTmeKxSK01kgkEkkAT5/u+RzMXEwZomaIVnUetPiKIDJugLH0fDCLVVo51QEI3nbbbYlLL730T7/yla/k1q5daz377LPJnTt3/ido4XWDCEHcA3EY/6bIkVp8/iYQuYp+s7aN6QflNIvIkJfP7wNZeGJRt4DIXrqLiNVaABAM7w33Nx5ufOKun92VX/vYWv1q5NWhzFuZm/iz+0AW9DE+v4fHmw3aHOpA6YJevv40jNjRXL6OGF+zH8eXkUteuDQbEEvXAxMk7eW5tgNY0N6uulwufKqvD8ORCHKZDLZ7vfgLYMTlUQ0go0/SoFZrbWmtJQ1R0gBl7pIyKYqG8h1pcHBRj65ZLWl6lQDQ0oKdSuF/9fUhHYkgl8/jpXwep9TZmze1HEhUquwa0eOgVd3e3v6y1vrLvb29mUgkkisWiz9ubW392umcy8HMxqRWJpaC/+BbYNwfklmxBOSCKMKI/PdrrXNs9cwDLazDWuvi17/+dW82m11w1113+QuFwv8ALXxJZxPLOgoi4TqQ1VsB00xX+gdK6bn4g1/lsVeDyHQnTM7wbJ5rlD93Lh8rpfCzQQSY5OOrABy75lPX/OM1n7ymMZlP7r1n7T2LAUBrvcd2Txbx5/eBUgCrYDSxJSCXAm0WkmoIkB89Cuqx6APwsta6YLvHea54dPE9kGDkIF9zHUi7JAngWa31sa4u+H0+1DY3Y6Rcn2UAPCgpAz8ZOAWvnq8rBuO+EX0XN0xH9SbQJjCoTFPcvObu4LxRLAaVdh+WMcJhBFwuBFtb0TeWOZWZo1RNZtjXXu4YaUZcttP6WNHf3x/M5XK+9vb2Ce947mB6YkoRNQDY9COKACytdR+TVQUoe0HcDsdsi7UJFPw6atd+UErdCGA9iOSl/VMO5nG7HRQ03AfK5pAmBmFQMK4CZNlWw1ipB0DE4ALwCsgSlGaxi0EbSQ2I9JphBIRaeExpUlDL1/k4yN1S4M93a9Ldlo3rPJgekDLfFExl5EIY/3QQRhulFxRIDIDKxKNa67f4vCd02Ob3zuK5SXn5apDl/gqAX5eWTXNsoBanQVRMuvV830YyO2C0vV183VK1mNBaJ2xjDnIGEJRSHSCi3zPWzWKMc5T7NDJWmWOaQQ8rp7UhOHAwFkw11wdgIvkKlD8rZCkVhtI+SvSpAdNRvKWkYEJyoAOgRR8BWWgKhvAS4E7Z4MXOry1QpsdBEOn1gVpuXcPnqQL5f7tA7o4DPM8if0ZcLdKiS8Sb3DzXYRCxLgdZ4BeByNyjlGpirYt227yCoI0iwvciyXOXdEXFY0R5PjUwRTj9oMCgNLcVX7Xd3zvMn3XxmAA9aWRAm4W8R18OBcJqAGRPx5pkV4g0EgjwPEXiVMG0PcvDpPn5UV6zelyqFMsgyePXnSRoODFa1Q4c2DDliFobrWpZrFVczJKD0cyQ9lxB22ckFa4VADh3dzFo4Q+BXBnSCVyaASiQa6IZtCB3gUhTwSz+TtBGsAcUlHoLRHJikV8GCuCdA7b0QMQ4yNdRB9N5RSoJU6BKSqmsOwzTcUW+kyDI5dPE98EPU6jTCCLrBTB9Ehv5OvdprbtAOiBSECP35hJFbcxE6yRQ4u9NgDY0ac+VBJWm1wNYVeKLHRFiwhmAqxIHYL4b2XTkR+YhgUc3TtSsls7tJ2vjdTpzk7x4F0bPApkorWoHDkYw5YiaIRF1BSITBSK/KhBBSWnxSO87tuoGATSsv3N927V/ce0nXB7XHJiMDFnoUpLexu+JX3ovKKNDSs+7QYtUdJzzoPzkN/j1PpClXASRyUKQZViA6WwunURcICt3gM99NmiBJ+vq6s655ZZbPuT3+4+BLHGACEeBiHYXv5+GIQ2ACLyFx2yAyTnv4E3KDaPlnQLwEs+1kz/j5XPMV6QpHQBZ5JJiJ6X6ERDRX3Dttdcuu++++y4JhULSJT4+Hq4Gzvjpg6mMzMFUfXr4+iTrox6meUA1BxpzfK0jRN3d3d3Q09PTiTMEu4YSoL/DE8q8mczPSKs6GkUoEjG66g4clGLK+agF7HeW3n1DoIW5DEQih0Ek1QDyvQ7yZ9yf/r+fvvtA4MDfupXb5bJciDwR+fc3n3tzMyiothBk0e4HkfMg/zQAeA5EAmK5y0YRh3FrJPjzS0FEvhBExEOgzeUojBCSiP5LR5UjIDdHKx/75vXXX//hWCx2ldfrRSAQSC1cuHDN/fffPwATMG3iuUrnm2Mgohcxfim7t3jsOn4/DVMRKSl80oG9HWQly7lqYXKvNUwwMgXTWaZt/fr1/9jb23txRUWFrq+vj3k8nrXf+9733hzzFzpGlMQopLGE5LgneD6S7z2iWc1PCs0A3o5EIn+ttd7Ep3zD7Xava25uTuI0wYZCiOfTV5qCqM5AqzoSwWYAf0nnwYsDA/i9c84xTRYcOACmrkUNmL6JbgCVbLmJLrVoWIj/sAIAvvrLr9Ycqjx09xfWfsH97E3Pqj9a8UfqrD8563dAVmQjiMjSIJJN8rkDoOyNAGgT2AsiBQnM7eFxJCtkCGRlVoAs9bmgIFwOhkwOgvKawyBCFHfLMdA998+ePXtRPB6/6qGHHlLPPvusWrduXaCvr+9pEAG9zecSMpbHag0j/1rNx6QBdGmt41rrIyByzfF5Inw9kse9k99fCtNBXdwqkhHjA5HObHDO+Y033jivr6/v4m9/+9tq69atrnPPPbcmGAw+fgrf5ZjBRDcIs1EC7Kbha5aceC/YBcYZGjEArqeffvpirfXG5uZmf1tbm9/n860oFoubz3BOGvTdiV++9PcjreVOJVWvpwdXKYVbW1rgb22F3+PB5Q0N+N9nMlcHMxNTlqht4jcAFblItxUXgCZ2dcRgikiQLWSvqPHV6EvnXAqlFDas2ICuVFdVXUudC6Yi7wgM8UrnlkoQaR0GkboQbhzkrtgLslqXgyzb7TBuiB4Yn24HDJGmQItbcpV7QG6MAQBq2bJl8zs6OorLly+HUgo333yz68CBA+1a6z6bjkc/iADaQOTUDCJtKbWXYOiItahtXcBBG5wIL2VARPNrft0AInLRIxni8cIwPST9AKrr6up+b+XKlYXOzk64XC7cfPPN7q6uriVj/zZPDdpoXBdgWqBJpaX48mthutjLE0iupaVlXSAQgNtNXohgMBgA8LvjMCcR9apUJzZVBk5Dq9qysK6yEn6Xi8rdg0FUAvi9M52rg5mHKUvUDMlOEKs6CyLnJrZcREmvQSlVAYVc3sqPuHMKFjXsyKayohMtOiEdIAvyEJ8/CxOQq+VjukBEVg1jndpT7SpAvujXQAHGXhBhzIPJz5anAKkkHAR3dykWi1ahYBqKZLNZeDweux9KmtjaGymInoeUMGdAqXGl/qvjuoAz8UuhSRH0RCFtv+RYFwdte0CELWJVe2tra3sKhcLIGLlcDm63u2y7rvGCPl7jWqpSJYVP2nvVwYhSeQAMJxIJj2VZ2nYeKKXGy5WQ4LnUlVrO+jS0qrVGXmvY5goohdw4zdXBDMJUJ2ppFOCCCSqKqFIDE/cgaHFU+z3+n0Mj9/1d39fZQhZf+9XXrIXBhX3pRHoByBIWpbuFMFWK8qjtB7kx4jBdYbbz67NAxHkQZF37QNatSLKKtf4KyIquBHdLgQlGdvCYfQCy27ZtS0ajUfzoRz9CKpXCgw8+WFy8ePEOYKTVlFQ8ioJgEbQ5iKvCAuUWn0BCtkd1O1knYbRCDvDvlsF0jAkopTz82aztXhUbGhq+s2vXLvdLL72ERCKBf/iHfyh0dnb+8hS+x9MCCzvF+FpEh1s0QsR3LS6pWgCxLVu2/CqTyahcLgfLshCPx1Na6yfGaz6gja2sCwSnrlX976kUcvk8UCwCiQSSWuNfxmOuDmYWpjRR28RvAFocfk7nSoOsVsCUIYduv/T2wqpZq27YsntL/PLvXI7d/bsju/95950wovXDoKwOBbKYgzB+YCmEkayDA1rrIZAF3ApyPwyBSEOO2cG/k5xf8Wl3g10cMOl59aBqxRSAbCwW8yulvvvII48k16xZg2g0enDRokUf5msSEoiDNhjpkH4IZOVKQHFUq7YMWVfCNEeo43lWggpaJL1N8qqlRVoFAO8dd9yx/4orrvjM5s2bM+vWrUMmk3l7wYIFN4w29niD3WB9tnkKMVfAdH2vAJB/9NFHu/bs2fOXAwMDA9FotFAoFJ5qa2u7bxznkgMrN5bmTutT1Kpub8frSuEzfX2I9/QgZ1l4tK0Nj47XXB3MHEzZrA8BB4qaQcSU0Fr3c/rZXAD7uVqtDmSxdktl4qafb1L3rL3HDeAGACthxJhEnGg7/196CDaDyNgLIvFfwlhx80FW7B4QiTaArPA8yKVhgbIpNMgVAtBGcg6ICLMgt0UClMUR4vd7AHx+48aNg5s2bbI3du0ALfYjoMCfApFuH39WdEakXVesnGXN55LGuX6Y7JkQTC/HNgDbYHKBe/l1K8+hx57JsGnTJmWf6/sJvpZasLYL6L6Ir14KfqoBeLXWu2Fy8SdiHvK01Gd3PZWr+hzLKfnfqb0YHUwapjxRAyPFKxI8kkDXMgBJrfUBrhrrBJH5OyyYA6VUC4CbQRZpO/9+GERYr4EKYt4EZVksgSE+aa+V4c9KIEus4wNa64iirtSt/H4C5CI5yMcXQIT3EdAmUQ9akC+ArMDzQX7iL4OIMi0LXiklutZiqUsAVPK/j7BOh4j8u3heiTL+aiEW6bY9BJP7nQNtBBaAX4G1t7XWQ3zPQwAGplp5ND8dNIKuyQO6Dqkw9YDuyS62fidqDqLzcVxKnjId2NP8RObAwRljSrs+bJAmsX5QUFEyImpZw9gCWacVOL7UuRNEpJUgou2CeYRuAbkn+kGWrxRS7AK5GFIw6nSSCSEpay4mMmk+4AKRbx+MVSqtwg6ASFbBZGyIFe8BEXYdgFalVB3nEYsUqBScyCO/vVOKPGr38lyDAELlMhL4fkkXcGmiIOqBR/j+dPJ5KjkvOAsidN/pqsNNFDjjJwr6zkUGtxGmD6YL41ylWGYOWRjdbK/t/XHRqnbgwI5p8YfEiyIPzv5g4pBHdOlFOAwinxallIcXyUoYXWjR4IiAcpxDIKKStDXx94qWRBamqUAcRGZvwrgupORZKgDnwuQ3A0T2Ii4UgwmCLgaRtRDsEphy8wBo01jC19sHoz9dyfMN261m1swQHWmAurecoE1RQtb1fD8yIGu0D0TUgPFVZ3gOPh53SoHdCiI8lQZ9V9JUd6RL/QQjDrqPpVkgZ6xV7cCBHdOCqBki0O8D4OP0rSFQap6biSgKwP2xOz920V89+Vd/Vddadx6IdDygAF8vjHSqCBydy8eIPoboMzfDPE6v4HPsAlnIUtocBZHfu/xvM4gwVoMsPPAY+0GEOMDHNPDPkTlzVp9z6617/+LBB3URRNwt/G8fz0OqB4MgAihb+WYrwx4GkVWzKhG+t5F1DkRqab6nvfzvUphGw/Z+jD4AiEajHdFodM2uXbvOqFfgeMEm7LQfdO21oGCx//rrv7lm48biTQ8/DM8Eji9ZINKGTN4/Ja3q6HD0nJ7hnotxap1oHHyAMJ2IOg3TmVwslZECGIAeiW998tZP9C3qe6m3ovcrK7+08pbVf7C6jY97F7YefSDSk64oVTBkLc1kpXKvHUSeCa11mv21g+BO3Zr6A8YAvAwi5SLIj9wOItUsTMdwe6+9jo9//LnzOzt/dWl/f+fmH/5QD3zsY4//AX/+NyB3S5bnMRvGNTOqngSns8VBpFUEie432jUomFwGYMhactXDME8fABGPFJT4IpHI3Vrrt5VSzzQ0NBwKh8NzRpvH+w1OPXwH9MRU+clPHvo/icSffWvnTtd3nn0Wg3//9xOno8EbZAo23RlGEsYlNhpUdDj6XQC/BfB8JBF5PTocHXPBjIMPDqYNUdvEbyyQ/8+tTX+9JgD42q+/1rwru+u2b3zkG64nPvqE+/bLb1ctN7RcDEpp6wZZLPUgy6sPRJhSZp0FPf5LR5eDMEUVkmcsKYHyuD1XfMK2CkAJAnpAwk1hEDEegy2d7qyzfqc6Gr1q9WOPufDkk273n/wJPB7Px7/Kx0uRjOhnJ/k9gPzQIaVU1Wg+UK11njcU6dLdzNkI9nspZC3aGXEebw7Pv5J/n9+8efN5WuvPNTc3+1taWoJVVVXNLpdrSqWRceBw75/92W/nhcNzzn76aaW2bFGeCy9E4OBB/GCCh4+DvtsRF4g2reVGdX+EE+H/rqBuaKlqCbQEW6p8Ht8iAPdM8FwdTENMG6JmJEGkUglTqtsDKjGvTeaTl4cqQ9bS0FIAwO8u/F30ZHp8NY01VSBikjxpKSmX0uQoyCIugFwhkhEhGRfbQdblbE6d84AsdABYoJSS4KIEucIgF0cryEI/xOcRH7Hn7LP/qHnhQl2cx7beddcp1d3tER1saZfl4+sUregumOaxtSB/fP0oJc1iafbymDVM8KI2KG6QPMjqky7l0ldS8fiZZcuWXeDz+QpSll1ZWenRWl84ynf0vkIp5eZNqx5AyO3uuOJDH4KuqaGy7Ouvh6enBxNW7g6MBBBFKdEud3pSrWoFdUmgIhAQ70hlRWUAwJqJnKuD6YkJ899NBLTWRaVUEqxjAXJHxJRSOQAtLuWKJ/NJl6UtuJQL6Ty18EvGk6IX3QFaSOKvlkDZMc7HjvDvAwCuApHjQa11nsdt4R8fyCIXBb3zQVa7VNDNBqXqrQCR4QCPlwGTcD6fyA0PG/9lIgF4vbBAaV1FXtyi+RwDkGJCSAJIMuFKU4SAUkp83GlJT5R7BmDQlsoXUkpJKp+llBoAbUgemE2rHaZBw/Dw8HDRsixlOyf4Oicc7LaRLvB+mG7w0tDWx/96AXgymT5PPN4wEmxNJAC3u2ApVVGvR2mpNR7QWmeUUmlQFoh8B6K5EoR5IrIjZWmrwPOX+zo8UXN0MH0x3SxqwFjVQVupbj+AqsfvfPzXgYpA4pu//abVHe/GF1/8YnGBZ8FAMV9MgNwanSDXRz0oD3spOLeYrdJKUFFLDkZTwg+M+H+jIJeI6IJIbnIDSCsjyS6HLIicAzymC0TqgyDy87744he74nGr+NhjWh85Atx7ry4sWBB/A0CCi3xkfPEhH9dFhd0bos1xDESy1SA3R5NSSrJj5PjSVL5mW2qjNAtQMMFGSWt0f+Mb3/hFNpstpFIpFAoFDA0NpZRS3zqN7+4EKEJAkSZ2SCk1RynVqZRaopRaAXrCWcL3sR3k5pL+ji6+nn6Q++qVUMh397ZtSv3kJ8C+fcCDD+piU1PPj0A63UuUUqM1ABgPxGDcZfLUksQoWtWWtv41nU8XMoUM8sU84tl4CsA3JnB+DqYppkXBSykUaVW3AIhoanrqBmtV3/fSffVv97/97+FEuH1u5dz9//HX//Hj/q7+baC0uJWgxfQciIzmgXzUkvcsanoVIGKVUu2o1jpiG78WZDVLel8df+YtLhapBlnac/j3Ii/6IQBXgjMuLrvss7mOjq9u6O11NSxcWNj+zDOXfba7e5t0ojmLP5sEVR6Ws8hK74vItlbCCBelQdZ4znacDyZPOw3jTmmEyfJYymPvBlD90EMPnfPRj350IxPp462trbfDqBuebE4Kx1vDXpgnmQqc+FRngdwwkh6ocXzFnryWXpU5ADlt04j+whfwiZ078VAigcqlS/FMdTXW33OPqgMFeaVHY4Q3unEFP7nUg5oqDKv30KqODkc/orV+CApBaNzXVt32wHjPycH0x3Ql6gCIBPOgKr2iUmoOyLLdrU3D1g8DWAtqobUOlOscBZFPM8jP/DJoAbeBCG4WyH99BGSpStR+EGRNixi/5CL3gcjjPBDp7ODPdYCsQMWfGwZZhOt47l7+7D9rrfcqpWaBrMW3QCRfD7J0peP6Kbka2HUirhEFspjFNVJkAg3i+Ma9WZ5DEBRUnQXjF/cB2Fs6DxsRl7omhJBHI2LR7xbVOcnpduN4MpenguM+o0vE+0/hvtRjgglbKSVPWn2aOr9LCX+0XOWoAwfvhWnloxZordPsZ60HEdEwyCpu4h+xfheCyKkRRMw9ALaCyEKkSFeCiHU7iJitTZcCAAAPNUlEQVTCIAJtgOlNWAOyMM8HaVZ3gcg3AApODoPKwM8HaXgIMQ/AaFSL/3oA5Fbw8b8h0GO7iOJXwQQQFYDCqZI036McgJxSKgZjZdeAgoqSKjgM09dR0v/Ecq/guXXY5jeL/bB2i7g0UGYn4jgMAecAZHRJ6y72tft4jnUwxCwbSw7UQHdcZFXZT32Mg7+tADo5/hDRJPg1HojB/H31g+6zfAen3WnGwQcX05KoGXGYVLthrXWWSalJKRUFWTCtoEWzEGT9doEWzixQ7uohmC7gS0EE/zIT42EAYDdGE8g6XgGyhg/DFLuIVvIQTHNcaW/lAhFPM6goQ1p2ia51K4BzlFK/gSlBF0tdmgeccodvO2xpjSn2fYuVLRkmkuKoYDq7iO6zD+SCaeW5B0GbnVi2kj44Qsb6PYSIlJFwFbKXOIkE37IYR2IeDZq0UqQNWyuAheNF2PzEEgel61VprZMc8K6CQ9QOTgPTmahTMIUGPltlXi1o8UmV4DDIGkzCdOOugimAeQtEvotBRLRKKfWuzSctRPY2gFdB7pO5IGtb3ApVIKKJwIjH94PIuQZGSvSXMJ1L+kCkeA5MGbxoQOdgAmVnRNTAceRod09UwVQ8KhgrWIo2sny/Knh+Kb6+t07l8Z03B0k1tBOzlLCLK+OMm+SeKiSfnAlbqlEXKqUSIMI+bVLVWqfYRSdPMElQAZJfUwcbBw7GjGnpoxZwUG8eSN5UGtwu2XDvhotc1a7rX/qnl9yH3jz0CxgC3A6yIi2Qep6IJNWCLOQiyCKuBhHTURCZaFAKX5bHaAH5m8VVEOB5NMMIH1mgTUCU/nygxgIVAK4FbRhLVqxYsXTVqlW7d+zY8fQrr7yyDUSaolPRcwpBRHuwrjRgV5rdI1omOZhsDwk+Sh9FaVIQBLAKQMP6jevrOy7u8LbUtDz0N5f+TXSUuQgxyxzsxCxjZieYmFUkEvmQooa3/9na2jqmzY797U0gC9sDilWcNmHz99IM2ogG+O+mwGXvI4eFE+FrFFRNtph9pqOu431Je3QwvTDdidoDItYiSHrU+uwzn/32G4Nv/PHy0HL9Rs8bruZDzd/a8oUtr4OIbBvo8f4tkOukCkSqMa31Adt5m0HBwQbQYn2NU/PsY1fBtPTq5oVYB1rkfpAVHQRZpXNAVvheUKnzKgANN910043RaPScJUuWFHfu3KlWrlz5yQceeOBnIPdHCsBRzs99r1zickRsz5wodU+U/dJLcrPdtn9bbv72zd/prejt6KzvLL4z8I5aO3/t1XddcdeLPDe7xSxpaOK+EYu5UDreRCEajT6llPqI2+228vl8xrKslbNmzeoe6+eZsJv554wIm/9O7K4wu1a1K5KIPOdSrtUu5dIFqzBU1MUVs2tmv+fm7OCDhens+gBH1I+BMzY2v7y5YfvA9j9+/IbHXXNr5+KXR36JL730pZtBQkpHQYtkmH/8IJIe8UcDI1aQBqXUVYGI/Vyl1HwA72qte3nspFJqD6ipwFwu0T4Csk4DoPS+WSAi7QVZ6Qt4vNCiRYtWdHd3L33qqacQCoXcP/zhD/Vjjz32dQAfBqd3gara7FapwE7EMZRkTpxuZgGTR4z9q36wPOyGL284L+KJzN+yfouq8dW4nnjrCb11/9bvKaUugCFm6T0pFvP7Rsx2hMPha9xu90eam5srlVKIxWK+dDr9EIA/GOs5+P71KKV6YQh7EcdAIpyTPtZzJTnfX2QLqkF/V0PhRPjjHpdndagyVKWUwlBmyJMpZO4F8Odjv2IHHwRMx4KXUsRAxNWQK+ZWtVS1FOfWzgUAXDrnUgymB301jTWiFBcEEbYLpsvJu/IYzgsqBNrABrXW+7TWL4NS7twAzlNKXcIWN7TWRa31fpDbpAHA2eAUOHDFI8iy7AHwX6DgZS+A1+bPnx9auHChFQqRfMiaNWtUOByuBVnplXxNOZBrJQzabPaAfMQ7tNZ7tNYHtNZHNXUuj2mts+OR/sXFPWl+RO9uXd46/7zW8wo1PvLIrOlYo3qSPc2gDakIsjgHQbnDyckiaQBQSq3w+XyukbLsysoKrfV5p3Muvg89oE07DCLYJVyQczKxpVJI+l8NbFrVCmpFwBOokrkGPAE/6GnLgYPjMO2Jmv3GwwBqssPZoaHskKtokftzKEMNNoZjwxmYRrTDMG2Ujtj8ztJiqwh6NM3YxogwYe8GWchC2I3ye1Dg0A2M6EqIhGgSRjJ1EGSh7wJweHBwUMqG0dfXh0AgUARZ9zsAvM5E3KW17mEiTr/fQTetddEf8PcMpIxbtS/Vh0BFIM/X6AZZiU0g7ZE2pVSzItW+OqVUNVceestV500A4sViceQeFYtFsCV82rAR9m7Qpmwn7LI6KyWfF01z6QIvAehYwSqMFCIV6at13B4OTsC0J2pGHwDPAzc98FaoMtT7xRe/WHwj+gbu/OmdhUWeRYesgiUVboMga9UHCtQdUyTqI0UeKVBxSVmLUGvdDeAlGMK+QCm1WinVyClde0Dk1QEjEzoM0+BgH2iBtr7wwgsvWJaVv//++63t27dj48aNhUWLFr0AWsSxybRKS9EQaPhmT7Kn8PCrD1vbjm7DvS/dW1jUuOi7TF5S2TkAk34oHW38IBKvR3kir1VKBW1EfsZ/j4VC4Qe5XC6XSCR0NptFLBZLWZb11TM9LzDyBBWBIexqAEuVUh3vRdjs386B/i6yAKpS6dTj6UI6n8wndaaQQTwbT1na+vvxmKuDmYVpHUwUcPBnIQDPPVvvSUXykS39yf7FoYrQa4998rHXUrHUACiItw/kl+7hakAfTC/DoVPxPfKYc0HZHn7Q4+07/G87iJjToM3BD7KkM3x8LYDk4sWLr7r88st/Z2hoqG3OnDnPP/zww19Kp9MWgD2nMpf3A/e9fN/qfYP7/iWejTd31HVsqaqo+vSmNe/d5JbvkxvkTnLbfuT/peQsXcYL/O9xr8eSX93T07PcsqwHlVLtlmXd397ePi66JKXgJ4RW0CbkArm6IqMVKHHwW1xubgBDkURkOYD7NXStgvpia7D1qYmYq4PpjRlB1MBI2e48cGdyfm8dgOtA/t23YSoD3wZZ1tXgvoena8GWIexBmE4xHaBFmQARUxNogS7jeZwL4L+01tu4zHgZyId+8INSasz3z07ipa9Lu55ojELioNS39/2+lSHsQVDLtBOKf5TpUu4BlfNPqcbBDqYmpnXWRwlioEfuJhAxAlRV54dpqZUGBfTqYLQehs5kcfNnDyuljoAIez6Ai0CL9QjI710PeuwV5boEv58HZYJsg2k6e+yDQtLAyP3L888JYHfIaCTuQwmRK6UsjELiIIt83O8txw2OckWsEHYDF9IcR9iahJoCPHevUsqrJ7BbuoOZgRlD1JrKdo+B9JZFlW0OaCHnQETQDdM4IHYmlWdlxrcTdgfIwj4P5D/PwugmK5Avt4nn0s4WWSNo4xgvvYkZAXZ1iH7ICbAReSmJn4zI7QRe6lo5k01bCLsXRNgNoDLyQZAgk1yDNBkQfRcngOjgpJgxRM3oB/kAQyASnMPvxUEpciPHlXssHQ/wQj+olDoEQ9hemBxjF4h4pINKEygPvAbAoakURJwOGAOR2/3idkKXgqFSIi9L4PzaGguR899Wl83CboCxsKOaGlEkwGX8SqnY+53N42B6Ycb4qAVKqc5Pfeo3NxUKtde8/voX/G+99eR/Avg5SNsjA3J1TKjgT8l8FMi9MRu0MCVFqxbA+evWrbtkzpw5yXA4/B9bt279Jz1+Cm7jDVckEblBKbVAa/39tuq2w+/9kUmDJxwO36iUavV4PE+EQqGy5e7AcUQ+WrCzFCdzq5QlW37Ca4cRwpLc+NCsWefP/cM//PkGt7s60NSEv7vjDhw5vUt2MJMx44j6ttuyz+zf7/1vl11mqeefV6q19fkfPPnkh28HBQwnrc0RR/w7QBZ2G4DaDRs23Dk8PNx+wQUX6J/+9Ke48sor//yee+55ZLLmeDJEh6NPu5TrmgpXhTtTyFhKqbWtwdZtkz2vMlDRaPTnbrf7Ao/H40qn00UAq9rb2/ec8olokxWdmNEIvRSjZqzwuUYIu719RfLSS199ta7OVdXYqPT27QpXX42Vd9yBXac6VwczHFrrGfNz33164ZVX6mJPD1UovPmm1tdcY+UBeCd7bvIDWugLr7rqqruuvvpqKxaLaa21/sUvfqF///d/Pz7Z8yv3czR+9LJIIpK0LEtrrfVwbtiKJCKvTfa8ys716NHre3p6hjUjHo8XIpHIsxP0XUrGirRxq4HJGW8FkbL9pw2UttkGYPktt7z9vT/902KBb6t+4AFd+Mxn9LbJvofOz9T7mSkFLwCAXA7nt7Sg2MyiocuXA/E4PPffr0+l3HdCobUuaK33X3zxxdnOzs5CTQ2VZV944YXo7e0NvsfHJwUu5VrsdXuLUursd/uV1nr+JE+rLFwu12Kv1zsSe/H7/W6QhO24QxMKmkr3U1rruNb6mNa6X5OIl70YKAZTDFQA0Od2z25fvdrlls6WF10EdyyGeRMxVwfTGzOKqN1uHOrvhzvL5QY9PYDHo3Q8jhN61U02fD7f4Z6eHpdUO3d1daG6unpCApzjgL68lR8JuhWsAkCZC1MRvYVCYeQ+FgoFgALK7ztKiDxpI/I+rXW0srLq8OHDJnjc1QXt92Nc24I5mBmYUUT9uc9hW0cH3r3jDhSeew64/XYUVq3CM5s2Yco54i3L2hIMBvvuvvvu4tatW/G5z32usGLFiscme17l0Bps/bFlWZGhzFAunU/jWOZYCsDfTva8ysGyrO/n8/lELBbLp1IpxGKxlNb685M9r3JoaVF/+9vfKv3wwyj+278BjzwCPW8e7pzseTmYenBv2rRpsucwrti3D99NJHDOtm2oamvD94NB/PGaNVOPqNesWYMDBw48OTAwsOLVV1+tmDdv3j8FAoHb1qxZM9lTKwcrlU99v2AV6rPF7DCAu9uq2/51sidVDtXV1YVEIvFUsVgMZTKZQaXUZ9va2n402fMqh8svR6y7Gz/bswcXvvMOhleswN98/vN4crLn5WDqYcZlfThw4MDBTMOMcn04cODAwUyEQ9QOHDhwMMXhELUDBw4cTHE4RO3AgQMHUxwOUTtw4MDBFIdD1A4cOHAwxeEQtQMHDhxMcThE7cCBAwdTHP8fIZLu5RXOnD8AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# A limited amount of kernels are available for dCGPANN. Notably the most common in deep learning literature are.\n", "nonlinearities = dcgpy.kernel_set_double([\"sig\", \"ReLu\", \"tanh\"])\n", "# After defining the possible nonlinearities, we instantiate the dCGPANN\n", "dcgpann = dcgpy.expression_ann(inputs=2, outputs=2, rows=20, cols=5, \n", " levels_back=2, arity=[2,20,10,10,5], kernels=nonlinearities())\n", "# By default all weights (and biases) are set to 1 (and 0). We initialize them normally distributed\n", "dcgpann.randomise_weights(mean = 0., std = 0.1)\n", "dcgpann.randomise_biases(mean = 0., std = 0.001)\n", "\n", "# We then visualize the network thus encoded as a cartesian program\n", "ax = dcgpann.visualize(show_nonlinearities=True, active_connection_alpha=0.0)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# The weights and biases can be extracted as a whole\n", "w = dcgpann.get_weights()\n", "b = dcgpann.get_biases()\n", "\n", "# Or only for a specific node/input\n", "w5_1 = dcgpann.get_weight(node_id = 5, input_id = 1)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value in [0.1, -0.3] is [0.0, 0.025039127544017294]\n" ] } ], "source": [ "# The resulting expression can, as usual be computed both on numerical values ...\n", "x = [0.1,-0.3]\n", "print(\"Value in\", x, \" is\", dcgpann(x))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value in ['x', 'y'] is ReLu(b101+w101_0*ReLu(b79+w79_0*tanh(b45+w45_0*ReLu(b8+w8_0*y+w8_1*x)+w45_1*ReLu(b21+w21_0*x+w21_1*y)+w45_2*sig(b40+w40_0*tanh(b14+w14_0*y+w14_1*y)+w4\n" ] } ], "source": [ "# ... and symbolic names (this can get real messy so we show only 100 characters of the first output)\n", "x = [\"x\", \"y\"]\n", "print(\"Value in\", x, \" is\", dcgpann(x)[0][:150])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mutating a dCGPANN" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# We define a single input single output dCGPANN.\n", "dcgpann = dcgpy.expression_ann(inputs=1, outputs=1, rows=10, cols=5, \n", " levels_back=2, arity=[1,10,10,10,10], kernels=nonlinearities())\n", "# By default all weights (and biases) are set to 1 (and 0). We initialize them randomly\n", "dcgpann.randomise_weights(mean = 0., std = 0.1)\n", "\n", "w = dcgpann.get_weights()\n", "b = dcgpann.get_biases()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# As we all CGP expressions, we can now mutate producing a slightly different architecture\n", "# Note that mutation only affect the chromosome (i.e. the ANN encoding) not any of the weights nor biases\n", "# We visualize the starting dCGPANN\n", "f, ax = plt.subplots(1,4, figsize=(15,3))\n", "ax = plt.subplot(1,4,1)\n", "ax = dcgpann.visualize(show_nonlinearities=True, legend = False, axes = ax, active_connection_alpha=0.1)\n", "_ = ax.set_title(\"Original\")\n", "# mutate three function genes (these will be easily visualized)\n", "dcgpann.mutate_active_fgene(3)\n", "ax = plt.subplot(1,4,2)\n", "ax = dcgpann.visualize(show_nonlinearities=True, legend = False, axes = ax, active_connection_alpha=0.1)\n", "_ = ax.set_title(\"Kernels mutation\")\n", "# mutate active connections (its difficult to \"see\" the change, except when some node become inactive or active)\n", "dcgpann.mutate_active_cgene(30)\n", "ax = plt.subplot(1,4,3)\n", "ax = dcgpann.visualize(show_nonlinearities=True, legend = False, axes = ax, active_connection_alpha=0.1)\n", "_ = ax.set_title(\"Connections mutation\")\n", "# mutate active connections (its difficult to \"see\" the change, except when some node become inactive or active)\n", "dcgpann.mutate_ogene(1)\n", "ax = plt.subplot(1,4,4)\n", "ax = dcgpann.visualize(show_nonlinearities=True, legend = False, axes = ax, active_connection_alpha=0.1)\n", "_ = ax.set_title(\"Output connection mutation\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Training a dCGPANN" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We want to train the dCGPANN in a regression task. Lets create the points\n", "sample_size = 100\n", "points = np.linspace(-1.,1.,sample_size)\n", "np.random.shuffle(points)\n", "labels = ((points-0.5)**2 + np.cos(points * 2 * np.pi)) / 3.5\n", "points = points.reshape((sample_size,1))\n", "labels = labels.reshape((sample_size,1))\n", "plt.plot(points,labels, '.')\n", "_ = plt.title(\"function to be learned\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting error: 0.13025583420928363\n", "Net complexity (number of active weights): 220\n", "Net complexity (number of unique active weights): 166\n", "Net complexity (number of active nodes): 32\n" ] } ], "source": [ "# Since the output is in [-1, 1] we force the output nonliearity to be tanh\n", "dcgpann.set_output_f(\"tanh\")\n", "\n", "print(\"Starting error:\", dcgpann.loss(points,labels, \"MSE\"))\n", "print(\"Net complexity (number of active weights):\", dcgpann.n_active_weights())\n", "print(\"Net complexity (number of unique active weights):\", dcgpann.n_active_weights(unique=True))\n", "print(\"Net complexity (number of active nodes):\", len(dcgpann.get_active_nodes()))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 50000/50000 [00:29<00:00, 1718.94it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "End MSE: 9.577340177339237e-05\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "# This will store the learning history\n", "n_epochs = 50000\n", "res = [0] * n_epochs\n", "dcgpann.set_weights(w)\n", "dcgpann.set_biases(b)\n", "# Let's go\n", "for i in tqdm(range(n_epochs)):\n", " res[i] = dcgpann.sgd(points = points, labels = labels, lr = 0.1, batch_size = 32, loss = \"MSE\", parallel = 4, shuffle = True)\n", "\n", "print(\"End MSE: \", dcgpann.loss(points,labels, \"MSE\"))\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1,2, figsize=(15,3))\n", "# We plot the learned function against the target\n", "plt.subplot(1,2,1)\n", "_ = plt.plot(points,labels, '.')\n", "_ = plt.plot(points, [dcgpann(p) for p in points],'.')\n", "plt.subplot(1,2,2)\n", "# We plot the mse during learning\n", "_ = plt.semilogy(res)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }