{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%%R\n", "library(prophet)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two main ways that outliers can affect Prophet forecasts. Here we make a forecast on the logged Wikipedia visits to the R page from before, but with a block of bad data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -28.5336\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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24urm0b5LtwtxJ+U+UYh5BHuX13yA7joOlRVIjodKAYkTAqKhVSMptq4dDhk9\nXqGQxx87FBASnp6ShNHz4BXOP/Wbq+yO1M7exz/wqRfmhUa2r7HV5fOnX5tl+k+P0Y9M+e8HVe1Y\n76SlzHp5PgbOglKGY2uCHW1Sk+8OohU1Bv2eQHoCjqyEnRuGzYVnGHKTsP1jc1UYDGDyczd6HjoM\nrXqr0wIA7+6tqywPVw8icgBcA8z/tRXF4PGqbvCmWBYrJkOrQWAXTP7A/OYAtGrkp0Elh6wQGVch\nK4K9G1gdbp2BogwA3IMx46tqXwRFKWwdYLx1JeyFTovI/pA4mdl/ZQXK8uEeaP6rdPgnXNpz+Grq\n1I03CuRqMysADMP4OdgEOIoEPCbcVdzRQ6rR6VJLlNEedqGuhmeD9Vfy1pyvalwlFvJs+Eyp0tDw\npYOHZGiw09nM8tMZ5WYOAES4ihUaXUaZqvadyN9RtGREULC749oz6cabcW1CPtPX34HPMB52wi7e\ndm4SQWaZylbAa+8m0bcp0bLsvL9TrufLjX+Ut51NtqxSf0Ahn3m2uxefYdZczJGrdLX372EnDHAQ\npRQri8z11R8f6bpwcHClDq/u+PffvDrvMl287fwdRGIhE+YijnSXqLW6IrnGTSI0pgL7koq+OFVV\nTGsr4Pk62NwqMmTSAwMdhoY4nUovO3WnrHaQIgEvylOq1rGXzJULMgzWToyc2s3fGqpUKOGwCvd9\nwlGPhGzZ4ZSSr+IzjV+k//bzcxbzz2TIrufLcytUZZW6Bq/SUWHOC/r7Ndig3XhHd3evqsedMWPG\nsmXLakfV/EqZ2r0uayQcuVmZidcuh7fv6O1n5q5WVy5y9epVY6nMwBFj3vvy+9rbVpSXTx/VTy4z\n/ytvgkHXsRjyPADotPj15arKqYEz0WUsBCJkXEPmNYT1gas/dFpcP4r9Xzfir2fw6hYIbJBxDbuX\nQl6iX/r+8h/6Dxttut4Hr794/OBe0yUdu8R8sXr9io/f3fvnppCI9rrQ3mn+g2DnAgDX/sH+FXy+\nQKvVIKIfRs+HwAYAtBqYNmvVaXFlPwBInCArREUxXAPg0x75qYhbj/w0MDxM/Ri+HRvxhzTJtX9w\nch1mfG0+Fahf3i1sfAMaldk21BbDslj3aqcRk6/5DGnCXeCjYUG9/e11LDv292tqLVc3kXGRLvMH\nhLy97+bpjHse9bV/oON/evs4iwWrL+RuuNy4Qq97J+Qz/zzT7WJOxbxdNxq5CVHEmeAAACAASURB\nVMMYys7cJMIXengPCnasUGsX/ZN2JZerm9TC/n7vj25nDQkHValYhcOHD//+++9eXl5z5851dXVt\n7XBa2umMcmO2Ma+P7+hwZwC9/BwAyNW6QynFW68VZJap6tlDjqzq0/wK9aWcis6eEi+7mu3XjHfu\nkSNHHjhwQL8wIKDmzf5e2+3X0yQTwKnDB078s9fTx2/xwnkSiWTt2rV/7jng4OR85eLZWzf+1a/T\nd+jIt5cstxVLzO7BNPK4uLiHH34YNmIMfhalOcf/2VpZqRSJbIsLCw7s/NPHP2DA8NEAPn3ntaps\ng2Hg5ANnXxSlo8TkSdHFH/2eRPjdWcp4fPi2r0o4IgcaCuH9OsKvY9U6HYfC2QcXdqK8EBVFddZf\nPLLIkAr4dUSXhxC7Hjw+HDze//jTjZ27uHl4AYg/fnjZ4reK8vNga4+OQxHWB5UVOLb62qVzY7pH\nAEBAVEr78QjsatgVgLA+uBmrTT0HAH6dqpbX6ETD4yP6ITNROXrCzhX7v0bHoRxmGwA6DoNbUFOy\nDQAeoZjyCQ7/iD6PNbxykzEMRv3nqosfmvTM+e7htC9HhdwuqeQu2wBwIq30RsG/yYVNuROfvF0q\nFjDPdPNKyOGw069ay760MzGzrLLhVe8ynu8Cufq7M1ne9ja3Syu5yzYAfHEqc0KUb4Rj6/chohKO\n1peQkGAc33DEiBH6qeqtDUclHAnZsmOppZ+dyjDW3b4/JLB2U7Wt1wp+vZSrUJsp8NQT8Jj5fX0f\n6exTUCb7OjbrcGqJp51w3eRIXh31psLi9Pfff//IkSOTJ09evnx5jSG9G1PfUVdSUlSQv3vL+rzs\nTLFE6uXnn5eduW2doe5m0Kix3s72GzduNLshwzB8gcA/MPj519/u0W9Q7RVKi4r+99rcqxfOAqgq\nq9/yDu5cMV2tfVSXgOCw/Tu2GvKMwC6I6A+/DgADWRFOb8blvZC6oN+T6FirwsVYyNHvSfScggbb\n42kqkZOMvFuQOEGjwuGfoKnU/zF4dVtVEqCSI2EfPMPg1xFqJZOwx+7yLhasjBEjegwCu8A9uKrY\nn2URtx55Keg8EkHda2YSABJPYM/nCIjGuIWwtW8gQrMq5eAL7iYrLFgWTOv/FtfrXmoYW5DxYd1q\n8RlwmRFZgJDPcJq06X01vt0TnZy52DNVqVRj/QnHN99888EHVRW9qampdnZW18OCu4Tjw2Ppx1IN\n1e2dPCSLhwY52pppAlajqri2Xn4Oy8a3WxWfvvai4SE+wlX8/fiwutY/dfjAjasJ7Tt36TtkRCOT\nCbM0Gs3yxW/t32EYYdrBybmspMYgSwwENoY7ceN4evvZ2IrkFeWlxcUatVogENqKxbLyu6XKYkc8\ntQJSZwDQarD6OcgK0f8phPdFyhmc3QZ5KTxC0X8GArvUupWyqFRAJK7zBnZkJS7uxgvrzLdOqJ+i\nFL+9iopihPbEhEV1r8ciJxnyUoR0b8p9VFGGQz8ipAc6WKK175Z34BqA/k/BptnzyCSewJUDGDYX\nzr7VP2Ch01W1DrlXN0/h0h70mIxgM2OX3ZuKYlzcBQdPRI2q8QnDNP1eYG/DfzbGS6VhvzuT1cwA\nGYYJchJNau+68lxOuarOEVCawNNO+L/BgQv2p1aoLbDbxzq751Wo4++Uyet+CmqCyR3cipWawykl\nzd9VmIu4q4/dhaxyfUMQB1vBrfk9mr/b2tpqlYpIxElLWv3oZBzt3CLat6/WjM7FxaX+9sytQiAQ\n8Hg8C57GS1nlAAQCYV5FVYO1Z3r4ujuY/92fFuXtLLbddi2vVKnR6nQ6wFEkGBTsLFdrt/+bD+By\nbsV7/9w6n1HVVPBmoWL6b2d8xLj+73XVjRO4dmjwqHEvLHgn43Zq3NFDW9cZeuq+uOBdm9lzu/jY\nGwOrMYlX/fb+ucmYbQComW0ERGHYCwCDda8yWnXVb3pEfwx6Bqc34+pBMDz0fQLuQbhxXN+bMTc7\nw3QfGo1aVm7SrM87wpBtAOALMHkx1Ep4RQBA90cQ1geF6fBpV8fTPwOR+UamBkOeR8zEpmQbAMSO\nGPMa9n+Nh/5b73oMvJoxYrrYAeMWNrxaY6QnIOsG7lxBzMSGEw6tBuX5kJfAK6JW9sAidj3ObrO1\nsVEeW41hL8L+7q9weQGOr4VOi95T4R4CeQnuXIGtHQK7NjbIzH+RcRU+7eDfqVpPE7NYHS8/VWfv\nDpG0ZpC5yTjxC9IvQyCCVoWu442fhLiIPxwRuu5i9r6bhQB8HURdvO0PJheqGvfk7Sa1mdjJK0+m\nOp0lO9eIxhaOtgJbAa9EqTGWa+pJhPx+gY7vDg0G0MXXacaWa6afvjEwkAV+vZCdK1MxDKK87EuU\n6vQSZSPTpM/GhAc7i98YHLT0WFpFQ6mMgMfYifgKta5GhACEfGbp6LAYXwcAT2/5N7W4qtFYd1/7\nRzq4H0gqOpFWAsBNIvS0s7mRL9c2LsQRYS7P9vTTATxe+j/JDQ8Dw+MxUgGvQqPT6Wruf3Cw05xe\nfr4Ool8vZN8qygIgEljy17vJrCjh0NY9ol9zsCzLsixHO7eI0aNHv/HGG0uXLh0xYsSCBQt0Okum\nzJai0+kYhrHUadRnGwDWns+5frdp9+AQp3autnUdwoaHcZHO4yKdWRYs2EqNTiTg8RimQqVNzJdf\nz69QqLWHkgprbJWvE+dXAIHdENgNdq5H9285un93jXXWfPflQ49OX/Lrty4uLjNnztRoNN+u23zi\n+h2PvMsjRgwf+fBkhVzu4lZtsKB927ckXrkkl8uDwiISztbV3ZdBRD8MmwuxAwA8tpT9/e4Y2E7e\nhlvm8BcRPQZSZ0Nlf1A3hPTA2W2orABfCGU55KUQ28M1AEoZ8lMNm3uEVDtOjW4Ujp5wbGAshAbY\nN2NkpIBoPLfaOsv/zTi6yjBYxaa3MOVjOHkh9RxunbbpPEzlEWEoHCovQOp55N1CbjLyUsDq4B6E\nsQvg4g8AKjku7MTlfZAVAVAqNA6FyWUVRVUJR3I8Ek8AQF4KXANQmoPCdAhtETXaTB/v2q4eNLR+\nPbMVNhL0fBQVxUg8CVaL6IcMtUI6raA0S5NyHkUZuHVGJy8Bj48RLyGsryG5zPwXl/ch5SwqKwBA\nU2k6BIidgP1+fLhIwPtvf7++/g4Vau3ocBcAUzq5v743uUihqb/kQyzkDw9z1mq1rmL+89299QmH\nn4NoYgf3nTcK0ksNCQHDMD197cPdxNFedh09JLYC/vHbpb9fykkuVABwshX0CXAYFeYS7W2n/wWw\nEzJiIV9xtzRiSif34aFOAh7j72Bzs1De3cchwFEkV2tXncvec7OwwSoJhoGDkKfVagcE2K8SC5Rq\nnZZlh4Q4sSwuZcv0HW4BeNnbtHeXhLlKunnbhbuJSxSalWezDiQbHiHcpMIJ7dymdHIXCXj6IMe1\nc/n1Yq5+TA57EX9chGv/AIdOHuJBQY6ySm2fQAd3ic2V3IrFh1PN9nCpIcjZVl+2295dfCFTUKTQ\n+NiLorykNwsVKUWGtEbIZwKdbAOdbDt6SIaGONuL+H/fLPz5XI4+BoZBdx/7iR3cu/vY6YN8pL1r\nZqlyX1KRDc9iv97NQVUqVuHMmTNjx44F8MQTT3zxxRcNToTdSDqdLiMjw9nZ2d6+SVXdJixbpWKs\ns3jzQOq5LBkAqZC/ZlK4q1hotm9I/XUcuTL1E1sb10Q8dj1ObwZbM6Uzlic7Ort07j3gpE1nhPZE\n5r/Y9KZxHb/A4Gf/s/Dgrm2xRw+zpnsIiUFwD1QU4/qRqsHXvcLRaxpCe1Y7zIop0FQCDAbNQvdH\n6g2UBRhoNdCoIBSBx4eiDKfW4fJ+eIbhiZp9appLVojcW/AIrplqKMpQWQEnb8NbeSmEIghEDbft\nAACI1DJJ0tHiDnUP5tZ4GhUu7oJKiX5PVFtemoNTfyBqNDxDIRDhyn4kxaHdQET0a2BMF72VM/WJ\nAgD4d4ZGhfxUaFQQiBA9BsHdkX0Dlw+gPL/mhgIbdBgCMLh60NCf1lTPRxEzEbb2KM7EwW+Rca3m\nCgAYBm7BaDcAPAHsXBDYBUKxoS+PxKmq5cqpdTi9xfDazhWu/qisQE4SALgFYuAsiB1wYSeuHzVz\niIh+cPLGnSvITa4ZpNgRg2ej/WAAkS623z1svsCpXKXd/m9hgVyt1OiSihQFFWqtDmIhT6XVGasS\nQl1tfxpv2JxlkV6qPJspe7SjId/64lTm6YyyHr72s7p51R4kNK2k8mxGGYDe/g7+jjWfv02/1z+M\nDwt3NVMEpWPZ0xmy+Dtl5ZWaAoUmtVip0uhEQp5Wi0pt1Zf0vSGBA++2DNPo2M3X8nv5OoQ42zIM\nDt4q2XG9QKlhH4p0HhnqbGdTrVhIpWVj08vOZJZHeUr1jdlreGl3cmKBAsCUTu5zYrzMnsYihWb9\n5byMskqtFklFCplKyzCw4fM0Wp0xU3IVC98b4t/Rw9CfP+5OeVZ5ZR9/ex97UXa56veEvNg7ZX72\noudivKK8avb5TyxQ7Eoskgp5o8Odg5xsa3w7N17JX3U+J9RVEv98tNnwmonacFRjwYQjMzPzscce\nu3HjRlRU1LZt25ycmtQE3RzTXppffvnlU0891fx9ymSy2bNnHz58GMD3338/ZcqUBjepBxcJR6VG\n98qeWynFSgA/jQ/X9+yvqzNqPTlHiVLz6MbrjT12RTGybuBWPG6eqhoO0lTfJ9B7GgBoVDiwAjeO\ngy9AUDfYSKr9rIf2RHB3BHSFo8fdR+F8nP0TRRnoPBLhfc3U2Wdcxea34R6EGStqftQYKgUO/wSf\n9rUr4JulMB1HfkZ6AmImYeBMk8PJ8dNMAOj7OCIH4NIenN0GoS2eWAZHrwZbJPDUCknc77Jzu9Fu\nQEM1LA1RlCH2DyTshY0ED7+NgKiqj7a+i/QEAAjqhsI7KC8wjLQR1hvtBsFGDGU5RHaQOqG8ABnX\n4OyNqDGGbS0yWHhdHv0IAVE4vQmn/mjcBgzEDoaxQ0a+goh+sJGgohi7PkVWo6/texI9BsNeQElO\ndOLGL39oeCBglkWxUiMW8GwFvDOZ5b9eyr1ZoAAQ42P36cjgejZs8vwg5ZXayRuv61h2QjvXl3p5\n19UA3JRCrStWqu2EfIZhfr2Uu/26ochz07R2ruI6Z1FRaVkBD43Zf20r4rMOpZToWPy3r++g4IYr\nIlkWt4oVQh7jYy86lyX78lSGvnzlhZ7ekzvUeedmWcg12gbHNzMrraTyu9NZSi17fHZUw2vfO0o4\nqrFUwpGamjpw4ECl0jASS3h4eGxsnSMg3ROVSuXrW9XKrF+/ftu3bwdw+/ZtlUp1r/ODG/tTrFy5\n8p133jEuz8vLa07TEAsmHPrUQanRfXg0XT8cUN8Ah/cGB+iH0mtCwgFg543CFfEmDdYqimEjbuAZ\ntzwfqeegKEfWddy5UpV8jHsDEf0MrxVlOL4WkQMMQ1KmX8b+r2FjiyHPI6AJjwssfnsVXcehswUy\nBiY/hdXp4Flnq9ia1ErwhdUTBRZJ8YjfaKissXPFkOcQ3hcAtBok/O2RuHf42EcunD5540qCl49f\naGT7kuLCa5cu8Mct0Pp2gkgKvrDO0o7iTKx9AQCcvPHYZ5A4AoBOCx7PfIVLcRbSL0HiBP/OVa1P\nVHKkXcSFnVU3XXs3PGfo9YPsm/jzf4ZqgkbiC9BpJIbNBcvihydN509pDntHp0qFQqUyaRcc1A0S\nJ9y5YqZ0pDGmfgLPMBz5GVcPWiRCM2ztEdQNYntc3L1+/ykPb5972vpAcvEvl3KdbQXvDg6o3f/c\nUsqUmiUns94b5CcW3nM3ohKlZllsZmx62bhIl3l9fBveoKm+PZPTJ8i5u0dTWkjsSypeczG3VKH+\neERwjA9XfQVi08tSyjSfj6hjCLvmoYSjGkslHNHR0VlZ1dpg5+c36afEHNMSjmHDhm3cuPGdd95Z\nuXIlgIkTJ/744488XmO/b8aEY9myZUuWLDEuz8nJMc7u2wSWTTj+Tir+81p+2t1Bglc9Eh7kVF/x\nhnHDuj4qr9RO3GAY0wLX/sHhleg/A+2HwLZx3+EzW3HyNwDwbocJb9c3fALLgkEz2ihYqH9jfhoO\nrHAPCMkPH2loLmr+aDooy5EUiwu7UZKF8L4Y8DQc3AEGaRcQtwE5N6v1a+wyFkPnAIC8xGbNc3+f\nM19RlZZ889npE8G3gVsAgmPg4ge1EvZu8AirqgtIOYvtd6fQs3fDtE+Rk4Sjq2AjxmNLIZLqi4WE\nxenqxDikJyAnydCRJyQGPSbDxR9Z13FmC7JvVju2jRhPf2uo+tm4UCrL8vUP6jd0VOzh/caJYdtH\nd41o3+nC6diC3ByFvKJLjz6XzsYBEAiEdvYOJaUlCOwKZVnNPdfNwdFp0effaLXat16YCcDV3UNo\nI8rJNEyn4uDkPOLhSdt+a8RsQYBEaucfHPrCgkVJ169+9+li048cnZxLS4oBGGaTdw9Gcab5QjhL\nS0tLk0ql9zr8TGaZqkKtjTBX02FBzZmeXqVlj6SWjArjpDuoUTOnpz+aWtrNW+pgy217Spq8rS3Z\nunVrjWzDsubMmfPTTz/pX0+ZMuX27dv6bAPAX3/9FRERMX/+/MakC6YTgk+aNMmYcMydO1e/eXFx\n8aZNmwBMnTrVxaWB2T45cr1A/svF3KK7oykzDFNPaaepGpN+mQ6SUVaQhdJcOHqCZXFmG9RKHPkZ\nbkHw69ioIRZ6PgpFGc5vR/ToBgZrak4HoqzrcAuETb2dRBop7Txyk/NzkyFwhVc4wKDoDhJPwisc\nwTEAoNMiKRZntiA/rWqrxBPIuAr/KJRkIT8V2qqGbFI7e4W8QnfnCtIT4NsR6Qlevn51HTwoLGLN\nph2rV3x+6vABpBtu82AY9JluGJ8+Pw27l1ZtUF6AVc9Wvf3xKQybCx4fl/ers29WG24cQMo53E4A\nwzPfkVilwK8v4+VNyLqBgtudevf5+NvVAJ547kWlQq5jdXy+QCSqWbKlVMiLCws8fXzPxZ54+8VZ\nSD0HILJjdOK1hLr+RqMXFiyaPGM2gGhvu2cfzddoNNfyDcWcCrmcz+fbiERbfv25zs1feOGHH34w\nvj14YH9ERASAhK4xnbrEfP3xohtXDDF8/N1aN09PZ1c3Pl9weO/Oo3t36diQ+GOHGozQqEe/gSu+\nWLphw4a8vLx+/fqVMuITB/fZiETuXj6XzsRdiD9pdqvRj0zRD4Ab7W1XYwi7+lMQ/RQk1syGz3Cd\nbTTf4EZUxNw3KOFolMWLF9dY8uyzz5pdswl0Ot25c1WTV2VnZ1dWVvupXbp0aWJi4s8/1/mjVltC\ntqydt/fAgQOPHz8OILtEDkCpVM6ePfvEiRMAtu36+6NvVtmKJaZ3ca1Wm5ub6+7uLhQ2KgNogoRs\n2bJTmUUmczd8NCzQXsRHIyYxN2W6crS33YbVu7D6Czy3Gtveqxor86/F6P4InH3BMPCOrGr8aFb3\nRyB2gD8H1Zyn1kEkRcfhuH0JQlu4BwNASQ5SzsK3vaFOpDgT6QkIiK41hEMdyu6Wrp3dhtIcOPvi\n8n6U50Noi9CeCOqGlHO4WfMGM/bR6QAcnZwnPLbUxc1dqVQe2rNdrVINGzvBwcl5//Ytn7+3ECfX\nISQGseunmcxmUltASNjir35a+92yP366O20ey+LMVjA89JjcwKO5TouD39Ve7OTiWlJUCKDaNKd3\nxfQdmHz9aklxEVQKbH5L3xKz39CqSXBqjNNqylYs0Q8e37P/4J2xV3KzM/2DQgRCYUXq5YULFyYm\nJjo7O+vnj/3f//43atSoo0ePsizbYeBD9o5ONS5LgUBgssTwwm3G1J++/ET/2svLKyenajjXpKSk\nZcuWvfbaawA+/PBDfbYBwwXc6ds/tmu1mtKiIidXV55JbdfQMQ8PHfMwq9P9/MlbmzdvNvtHPffc\nc/3GP1ZcVMgrzU5JSRkyZEi/fv0AvPvuu8Z15kybYHxdXFz8119/CQSCLVu2mM6kqCqr6ttV4481\npiCEWARVqTRKVFRUdna1ea2++OKLp59+unmhGZw6deqRR6r6LPTr1++vv/6aPXv2rl27TFe7fv16\n/YVXNX4aTh0+8L95c4xvNx2Kz864M89kHvAlP/5amJebePXyqIG9p06deuHChRkzZujriXbt2tW7\nd2/TvVmqSiUhWzbu92tKk97t6x9t52FnvnNK473+7ke//VjvBB+eYej3ZNXsoA3KTYZrQNXI2U3E\n4s/FSLsAANM/R3I8wvrAOwIA4jYgbgOcvBDUHTotbhyHSg6pMwY/i4j+hm2NZTP6oghjbcXlvTjy\ns2n5RP0CgsOcXd0Gjhg9dsoTZjtAGU/+6m17448flkgkIx6ePK6PIfcyO+6qcdsbVxP+3rpBKBK5\nunum30q6mZKWnpGBimIzfTcasnztphWfvJealFhjeVj7jnHHjwIYN27c6dOnTT86duxYhw4dUGso\n2EbeJo2bqNXq5ORkT0/PJhf7FRYWHjp0yNPT89NPPzV9fhg+fPiGDRvudW+m5/znn39+++239W/7\n9OmTkZFRWVk5ceLEjz76qGmh7tixw/R56amnnvryyy8bE0xdasxXbFnNqVJpGc2sUmkZVKXSlgwc\nOFBfE2HU/PTI+BOpUlV7FoyNjfX29hYKhWKxRKGouohNm3yyLGv69tatW/n5+XyvcBuRyNgmvEYq\nKa+o0Kir3aLefnEWq9MB2LX59/fee6+oqGqomVmzZiUkJNzT+FcN2rFjx4kTJyq8Ois1VW0O5vbw\ndpNa4CLs0rNPAwlHbjJObwGP36jGnrF/4PRmzPy+UeUNynLkpUAggk87k6UskuJw5GfI7j4+nt2G\nkmzDYJH/Hu4hyAl/9qWsjNvXEy7mZt8tkqkoxp4vcGodbCRQlMPeDS5+KM1BdiJ82mPkK3DwAICS\nnMZnG2HtOq5Yt82mjjF/auR5MX0HxPQdUOMnvnYuaPrg265TdLtO1U5pcWFBbnbmrbPH7ty5c/v2\n7bNnzxpbJ9QbZ4fO3Xv+uGnXwjlP1RjaZOH8/+hfjB8/vkbCkZiYqE84aj+a13Wg2vkTAKFQWGP8\nvXvl6uo6depUAJs3bzZNOMaMGVP3RnXSn2F9hAcPVrUb7dChw86dO5sTJ4Aa7dBfeumlBoMxfVtX\nYkHFIaRBlHA0Su32oT179jS7ZiOZNrbo27dvZGRkYqLhwU4/TFntQVpmzJ4TFBbh7eu/4pP3AEyd\n+fz02S+c3bvlyJEjcXFxAKT29t2nvXTGpf/348ICnEQ9+g8KDm+XmmRo9zdnykOq6jU1rMkIY6bZ\nBoCCggJfX9/p06cvX768OU1NjbZs2fLiiy8CwPTPYFKzMSLUmccwzZ+Xdcb4YcenP719w6/1rZR5\nDfu/hn9nBHSBX0fDzduslLNgWaz7D576xlARo1ZCq6nWBFU/HMLtS0g5i6I74PER0hMjXoTIDhnX\ncPRnFNx28/QK6NQvsnP0hp+/R3I8YKgscBLoPvl2tTFlVCrkW9etiTtyUCS2/TfhosY4v1p5flXv\njPQEHPoRg55BUUY9E8TX0HPAkP99+Z0+26j9GFpPJtHgv0g9D7XOrm7Orm7TRvQzXfjDhu0bV//w\nb8KFGisLbWwkUrtOXWO++eJTf287AAd27/htx8HYo4cun4u3l4imTZs2ceJE/crPPvtseXn50qVV\nrUN69Ljn0ZpN7+VcePPNN/Pz848cORIZGfnGG2+MHz++4W3MMUZo8XGHO3ToMH/+/OXLlwN4//33\nQ0JCGtykdmBm8zZC6kdVKo1i2otE78cff5w8eXLj98Cy7KFDh3Jzc4cNG5bLVmt/IJfLAwMDmxBV\naGSHW4n/Vr139sWsHwDwwS7tJQ7xcZ89cUSx0BUaFYruNP6Z2JS3t/evv/4aGhrq6enZnCqVOXPm\n/PnnnwDw4h/GTo9BTrY/TwhjLJFwAOjWo9edtJTGrm1rj9CeCO8DiTOcvKtlEukJ+OsDQzOCmEmI\nGo07lxG/EWDQ7wlE9AePj6RYxG1E0R3TXfoGBGWmp8HRC6U5PfoNnPfuJ54+hgKS5R+8vWfrBgCY\nsAiVFTiycuex0xJJzQF8ALw19+mzscdNl9jZO1TNouLkjbK8PgMG79y6UafTzZkzR9+DeuCIMVqN\n5tSRqkfhXgOGPDnnlfZRXWuf2/pvtwnZMrFYHOHUxCyzrvtQQrbsxLZf9G2hevXqtWDpd04urk37\nd09NTf142TeVSuV/5jwTExPTtDi5plQqXV1dLVKIbdq/PTY29l77ydelsrJSIpHY2to2Ocj6J0m2\nFKpSsQiqUrFqcrn89OnTXl5e+oLWwMDA27dvm67QmMcC0y/km2++uWaNYfyAdX8f0zdh069jW5ZZ\n1x7qVy3bAOBi6FagBfPfXw/gwAr0mobuEyCwwbVDOLYGynKIpHD2NUwbYecCjQpl+cips39gdnb2\nyJEjAUybNm3VqlVNixNAUFAQAPAF+lu7vYi/eEigfsg8i2QbcXFx95BtAFCW49ohXDsEAFJnPPRf\n+Hc2fGQc7hrAuT+R8DfUhl4J2P81zmyDToOSHLFEYvor+M5nK4aMHi8rL8vJvOMfHGraUSLa2+6X\nH1a87OC4ac2POL8dpbmorEg4E9dn8PDacQ0eM96YcHTqGtO5e88Zc15Vq1VSO/tDe7Yf27/H1WPY\njDmvAODxeCtXrnz++ecBCH3bRTjxV65cefDgQYHU8eFpM2ZPrrMkv/4THu1tJ5VKm/nbVPsQnozM\n2PL69OnTUkV+tHdTkmwAwcHBf6z6gYupBC3I1rYR45w2zqFDVR1VCgsLLZVwiEQia5hcgzxQKOEw\no7CwsF07Q338a6+99tZbbw0dOnTt2rXGFRYuXNi1q5m5l3bu3Ll+/XonJ6exM+YGhFSNyKRWq43Z\nBoCPFrz87fodxpLS4GCTcfpqzPfsEYLyQsP4g/WzEaPfk1Vv2w1EeB/wfY1i/QAAIABJREFU73Y2\n6TgMHiEozoRPe9i5VttQUYa4DQ0Oubhp0yYnJ6cmt1N75ZVX0tLS/tyzD2BseMyHQwM7eZp5vm+y\n3burzZAiFouXL1+elZWVkpJSWVmZn5/v4uISNWDk5+8uqJBVG+tJIrWTVxTj4Dd4ZiUAsDpUVJ+q\n0ZhtAGBZfamGk4vrH/tOimxt05Jv5mZldOjS3d7BEYCdvUNYu45mI5w8euimNT8i46r+bZ8OwaZF\n01V36AmPduzSPT0luUN0NycXw7+Uvk5k2NhHho2tNiA6wzCmdQrz5s2bN29eI84Wh+rKZmrU2Vlw\nDJv7m0Kh0A8WrBcXF1ejNXcrMvtvbbZErUXCIW0AVamYYdosHEBmZqZWq43p2TsvJwtA//79X3rp\npZ49ezo4OJhutXbt2oULqyaxjOreM6b/4IQzsQKhzeQZzyx87knTle18w6SdBk8f0XvcyGEA8rIz\nX5s1LaewGLN/hkaN42uR+S8GPIWw3hDY4MIuxG+qOSqirT3sXatGWQjsisk1++42LDkOYX2gVuLw\nT7h+FDZi+LRH1g2zIzBKpdK0tLTayxvv5V3Jm67mu4gFm6cZGuhZqgJ44cKFxowwODj4zJkzZldL\nyJb99cfaI/t2syzbsUv3qTOfd3FzX73i8w2rvoerP6Z/gU1vVs2RZo5EKo3u0Xv+e0tqTOdmlulf\nx7Lsc889t2PHDgBTp0799ttvG6ybr6d1XoOHbo7ml3DUptFoHn/88SNHjujf3rp1q8bX555YdqB9\njljqNJrW527cuHHYsGHN36eeRCJhGIajknajZiYcVKViEVSl0gpqjBaFOn67NZpqzR1Onjw5dOjQ\n3/edmD9z6rVL50+ePHny5EkA8fHxISEhv//++8kLV/yDQr/+aJHpVpfPn7l83nDbO3388MPTnty5\n6XfDZx6hsmH/kbkFfpVUXHxrxYwXXi0qyM/JzsLo+Yb2DQ+9Xm1Iym4PI7wvSnMgcQLDg6IUAhu4\nB4NlkX0Dm94CAK9GD3FtKvk0wvpAaIuhczDkedjYAgzUSqx9oap7xV0VFRU6na7xY57WkJAtO5pW\nIuAxk+qeMqDJ8vLyjK89POpsDRrtbYcnZk18Ypbpwmdefj0kol3yjWsl2TtuezneqPXsLRZLnFxd\nbcWS5197q0e/QTV3eFeNH9YalxbDMKtWrXr//fev51WM6BbZmD/qfnpYFAgEa9as2bRpk0qlmjJl\nSnOyjQfNkiVLvvrqK51ON3HiRAtmG4S0vAcl4dBqtet2H+LzBWy3HqZPlsa04+bNmwcOHNi2bVtK\nSkqNXHXatGnZ2dn7tm+5dum86fLXX39dp9Ppe4g0qHP3noaEwzMMI1+BWyAASJ1/PZa67Y8usrJS\nuAXqJ2+8q/rjr71b1YTXzj5Vq/h2xPQvcPUA+s1oTBg1qeSGzMZ02hGhLZ75Ef98j3+Pmo4C6enp\n2eRsA4COZfMrNFIh77HOzZj9vA6mw0vUP6le7cEkGB5vyOjxQ0YbehOcPXXsetzhgICAoUOH7tmz\nR86XPDTpsd6hHjW2MtvFo8E4IyMjIyPR5EeNNt0jwM7Obvbs2a0dRRtz69att956S/9a33pUIrHE\nSLUtiNNROkjb8kAkHGq1+umnn96/fz+AXgOGePn6V1YqR014tHO3HpWVyiN/71q4d8eF+FP17OGv\nY2evXLmCLmMhkhhni87Jybl165b5DfhChPaEvTvSzqPwDgCxWAKxI7qORbcJhjabev1nyC7tBmCY\nNKsJvCMMY0kBKMowDFjpUue41NVoVNCozQxvJRBh9HyE9MT+r42NGHJzc7///ntD79ZGM/7QlKt0\nOpYV8Ouboa3J5s6dq6+tQKMHga2rcOLZR8fi0bH61507d65nK0K4dvXqVdO3qampHTuabyRk5bju\nzELahAci4YiPj9dnGwBOnzDUIu/7a7OhH2MjHD+w93ihDYbOgUqB4izcPAXAzSfATMIR3B1+nRHZ\n3zBF1qBZuLgHZ7fFpRXh0Q8Mw1qb4gvRZRxSz6PP9Kb/hUYpZ3D8l6oJ1gEGYHXaOicT16qhNZdw\n6EX0w/WjuFU11NJHH300d+7ce5pJriq0YgUAW0HTy0jqERMTk5iYmJqaGhgYeE91ino0ZhGxTlFR\n1cbav9cxM6wWfeMeTJz8+lubuoauamS2AWDjmh8r7b0AwEaMwc/pF1ZWKqX2JlXRnmF4ZiUeeQ89\nJsHB426dCIOu43hPLt/LRprJNvQGzsKk/zUykvrkpeD6UQA49ycu7ASA/FR267tYOxfX/qlaTauB\nRgWdFspylOU1MB3luIVVVTl3R4BuZDg1flC+is3kMUwnDwlHhQQuLi4DBw5sQrahp4+KuwKMEydO\nPPbYYxMnTjTt7kRI/YKDgzds2DBq1Kjx48f/888/YjG3U7O2JCosfAA9ECUcW/YeBgBnX0T0RfJp\nFKYDgHckQnvh4i5UNDDoMgBEj0F4H8NrO2fM+gEZ10TKf0eMn7R970E8/iWybyCwa11TieoanIC0\nrlEv72ky9NuXDJ1WVAqc346bpyArRFkeABxbg4J0+HZA2nncOgNNJXhCQ2/bvcsw6lXDfN+18YXw\nikB5VQeiplUhV2p1mWUqZ7HgjQH+Tdi8rVMoFJMmTdK/3r9/f/v27WtX1hBi1vDhw4cPNzNkCyFt\nzv2fcGg0mpXLlsDRC6NehU97dH8El/bA0cvQQrPHJBxeict7wbIQ2Bge9/kC2LlBUQbV3daj7kEm\nu2Tg7Atn30H+Xa/HHcHIVyCS3MOsYEayQtiIa0xWHskv7ujj/OflLDh6IjcZR1e7eXgUhI9EgLlZ\nTGukI3KTASTKC0yzBChlOL8d57cbF/gFhTz94of9OoVdvXr109/WFMU8Dhc/gEGlnC8QaPkmlSzS\nqvmde/fu7efXcOuQ2oWlB5KLAQh4lhlUlCPcxZaZWW1st+vXr1PCQRovLy+vsrLS3/9+S9apYuVB\nc/8nHIaJmNsPgk97ALC1R+/Hqj5meBg2F/2eAMuCL4SiFLIiOHpB6oTSPBz5CannYe8uDYmu3a/g\nxKnYuKt38NDUpoR1ah3O/YWH/ovQXlUNLBJPPDupW9cenaMkFVu2rLt2ZOfMua8+OeeVKSP6F7u1\ng2cYSnOhVcPJB1oVUs5BVoAhz8O/M4S2uHG8Wr1JvZ547uVZr7wOINrbrkePHt1GT0nKyL2WXZp7\n61qEjyTdPXr3zeJixd2+wQOexs1T+mymV69e9/RXanTs92eyM8sqL/y/vXsPb6rK9z/+TbLbkqQU\nS+iFlovUFlSQwngB5oyVh1OOY49yhAdBRR28zk8BBRmZo4g/PY8I6hxHLjoiP/SgjzIHUUbQqlzK\nTSgIcgcZKlBroS1txbZpC73l90dqiOmFFrKzV9L36/GPZHdn72+XO82HtVfWKqgUkXCLn1eFCBY+\nU9df4kI86FBmz579+uuvi8idd945b968S/mmmILIHB1K6E/8lZaW9l1eoYx6WrpfeeG9fZSflqxF\n0vdf5OoRzfx0+dPy+2kSESkR7bzL4E4b7sVNxr0kPQY0bt+x/N0ZE3v2ucJn9y8+Wf7fz/+5xaON\nfk7iU2TjksYBHBdy90OP3ffoVC0sTFr+xtqXOWeWHyrO+/mXxd5WvdS49phIdnZ2cnJrc354jnau\nrmHm+h/2eh28r8O69ZFBbSny4ugxY5W/nDhxYsGCBWfPnn344YebnaZWHSo3o1vHmfgrPz/f+2pZ\nuXLl7373u0s8pkdgJv5qu2aTBxN/+QUTfwXId999J8Puupi0ISJRsXL7LM+zlMssp5z1lZ5Zwa4b\nLRUlUnTs/PAOb2crpPKMdO0hJq9/kZQVyvq3JHfP+fktqn9Zl+vIZtmxPC7xWd/jiNwyZtzGL1d/\nu/3rX5XWJbq87IyIyMr/EovWytpscQmJD0/9z4HXDTldeCop5cqWVir39vuU6Gvi7f+zu2jDiZ9F\nxHs29C+z90xuOXB4/8lY/c+fvNOGLdz87/26XvDUoapPnz6vvfaa3W4Xufh5ONDR+HyMhfaV08o0\neggNIR44jh8/LjGXy8Df++Vo5SteenPBokc+2nsuPEpEJOn68RHH/nffr7/lUVMlpXmSky1HNouz\nVKIT5d+mSMJVJleD/cga51eLxNUgIo6Y2NLi0yIin78qo2ZK0nXyU77U1YSFNf8N1Wf/snDxX+fm\nnThmNptstshBNwwbc8/9Zq8vu7oaGvL3bL7//vubvvarzM8TExP3FTi9Z+O+4HiFxM7hE1Jj80+X\n5FRqjUu0i4jIlQMGNbvcqM8fiINFlW/tLPDeEmMLf+amXq2fFIC35OTkjIyMzMxMEUlLS7vxxhuN\nrihAuNUSkkI8cDz++OPSUO897PHirV1YdGDbRwvnhNf1ONc9VTpFytFt3fp3knOV4p7o4lyVfLeh\ncTlQjzMn5X+flrgrXOXFzl/WYOsWG/+X//fBe2/Nz8r8VBrq5cBXsusTKTx6/+Tp3rOget/v6BzV\n5cn/O6eV6kxm86233pqVlbV48eLs7GzPoifr1q1LTEyUVhNGS+/tyy+LGBRvyzlWI78ZJYfWS/GJ\nx2bMionv3nRP37Rxumral74rkoSZO+gADuCimc3mJUuWrFmz5ty5czfffHPQTTMKeAvlwOFyuXbs\n2CG2Luc3lRVKp84SYRcRqa+TvH0S00ci29bPn7tbxLU166uK0hK56QE5WymH1x+qHSqb1siPB6Tb\n5fLjfvnxQLOFSNGv5q4YeO0N/z5s4NHt/bMyPxURz8xaXbvFtDRh9r4CZ+6xowe+3XlFv6uuTv2N\ntDD84pprrpk/f35NTc3HH39cVFQ0atSoNs4U5Dmaz2F7x8fIsZMiIvEpY/5t+Jh7HnBvb7oqjcee\nQudTTdKGiCRGtTC9GICWaZqWkZFhdBWAH4Ry4GjsLairbXy+9X355mO56iZJzZDy07LzYzl9XJJu\nkKHjJT6lyatdv5r9or5OzjpFpHGI+KbGteYP7P7mlTffmfHIPe65Rz2S+139/T8Pt1TY0OH/Ks2t\nMbZ97WqZ1PxiE2f+ueuhO+5wP547d65nTQqfoOAWHh5+110XM2+p5yCePo+bk6N/KKv56GDxiIef\nmfr7fkVnnHUuie5k0X7prvBJG/sLK5tNG/1j7U/9rm2zrQMAQlEoBw4RSUtL27x1m4iIuOT4TnE1\nyOENcnjD+T2OfyPFJyQ+RSJscq7K2i2x2mIVZ6mc+u7Kfx1zpHta425/n+FeUuTqwddtWZPpeXXN\n2eoZj/xq3Xm3VtKGiESba0Rk9OjRL7zwwpkz56cd27q1xfVcli1b5nm8du1an0Ww9JhAwp05TCZT\n104WEcnKLa/5MienpPJ0Ze19qXH3Doptehfm+5+qX9r8o8/GK7p2Ghhv7+ew6TSpOTqgRYsWZWVl\nxcbGzpgx46LnloXiGMYRekI8cJjNZqmvE1eDrJ7bOAtnE9b6yuocdyiR997e+VNJcXFhwcDrhhze\nt/s/X3xG7pgtNdXyc+P4xxOH93u/tqKiwvP4mbmvr1n1ya5tmwfdMHTvN9tbqWrlypUTJ0602Wxj\nx45dvHixZ/uf/9zid187d+7sedzSTO1+537Dh1kag8LXuY0Ti608Uto/1vabhPMp51x9w9a88nd3\nF5VU1Xof4aY+XaYNS4wMtwgzGcNPVq5cOX36dPfj0tLSJUuWGFsPgDYK5cBx6tSpjRs3iojUnJUz\np5rukNjr8qmzZg8e8tvvDuw9U1I86Ibf2uz2aEe3K/pdJSK7sjdL/kH5n8ekrFAa6t0vyc/Pb+l0\nKVdfMyLjP1K7R8bEXGD59Yhfvpj61FNPFRUVrVq1qm/fvn/84x/vvbfFJeafeOKJ48ePb9myRUSm\nTp3a+vH9KLV75MGiSnuYpbK23rNRM0nWiTJP4NiUW/bmjoLS6lqf114da7s3Nc6dNgB/+eabbzyP\nV61aZWAlCCSWuQ8BoRw4unT5Zbjou//nV9N+i8TEd3/303WdrI1Dvq+6ppnZqHpefoWIyJmTTX/k\n1rt37x9++KHxXNFdM4YMcI/wSE9PX7eutUk/PStARkdHu/99dsE5gnr27Ll8+fKCgoK4uLjw8ICO\nvhwQZ3/g2rgF288ntrsHxq48XHKyvCYxKnzTibJXt+afrWvweVVkuOX2Kx2XX3bhOT+AdklNTfU8\nZjRlaEvtHnn05/oL74cgEcqBw263JyYmnjx50jttxMXFXfsvwx+dMWtIUuOYzZYic11tq8uoinjS\nhoiUnfmptrbW3XXx5JNPth440tLSWvlpSzRNM2QxhdTukV8c/cl7i8Omnayo+ehQ8SPXdd+QW9Y0\nbYRbTFOGJoxIanXJOuCijB8/vrCwcPfu3Xa7febMmUaXA30NToyqrDzfS8rAjqAW0MBRUlIyffp0\n97czpk2blpCQoPcZn3766cmTJ7sfOxyON998c8SIEfLrkNG0p869ZeaWjT5Hi4yMHD169Pvvv9/0\nRCNHjvTcKLn++uuLiorKyspWrlzZdFjGddddd3GBw0CREb+6LWIPs4jI7lOVczbnZf9Y4bOzLdw8\nM63XkB6dvTcygAP+YjKZnn76afWnNgfgI6CBo7i4OCMjY/z48QE74/jx4xMSEtatW9e/f/+xY8d6\n1j1qaboLb+HiO1m40+nMz8+fOnWqey0lEbnmmmt69OjRvXv3adOmee9pNpujo6OvvfbapiWNHDny\non8do5Rs+0Q27ZebHhARqS6fcf9YuevVUxXnTlWca7pz1ccvzZy7raVDhYWF7du374LDXACgWXRy\nBK+ABo6ioqJTp04tXLhwwIABw4cPd2/My8tzD1+Ij4/3nmfTXzIyMm655ZazZ8+294XuZS98bNiw\n4Z133jlw4MD69etF5K9//WuzqcJt4cKFTTdmZ2drmm+zm83mphvV8cac/5KYJDmyWYqPy4G1EtVy\nXFgzX3KyWzlUbW3t7bffvmPHDv9XqXwziojJZDKZTIoXqX4zms3moChS/QqD9GoM2Df12sLdjEqV\n1JQiV2NAK7DZbAMGDBg8ePC8efO6du3qHju5ZMmSvXv3isiKFSv0WHm5qqrKbDZ7f620jaKjm5kQ\nfcKECZqmudOGiHz22Wee5NRUsyvx5ufnNy1GkauhWY3LRxUfl8y/NG6yNzc4o6FeshbJdxvPr0vX\ngoKCgov439EWKjejm/sKV79IxSt05zadriJ/Ub8Zg/dqvLFf4//63fllAa+oGSaTqdl/oKojPDxc\nhf/RxixPv2HDhtLS0rFjx3pv1GN5+hdffHHevHki8tRTT82YMaNdr92+ffttt93meXrllVeOGzfu\nwQcffP/995999vyarvn5+REtrL+6du3au+++u+n24uJiny2KLwjeq1evX60Qbe0iExeK9ZcvATXU\ny4bFcjjLPTfaBY0ZM2bRokU6lKl6M8ov3WbqF6l4hR1neXpdqbY8fbNab0YV7q2wPH3bdw7o5I/L\nli3bt2+fiOTl5XXv3swaYP51+PBhd9oQkVdfffXYsWPtevnQoUO//PLLQYMGicioUaM+/fTTKVOm\n2Gw2n2+lttKTNnLkyLfffttn4+jRo9tVhgp27tzZuYtXr0Z1mXww/fzTZU/Jvsw2po3hw4e/9dZb\n/i4QQEfEaPTgEtA+lvT09Ndee23FihUOh2PYsGF6n+6nn37yeXrFFVe06wjXXnvt2rVrfTbecccd\nX3zxxYYNG0Rk9uzZrfdTjR49esSIEYcOHdq0adPevXsTExOfeeaZdtWggri4uMxvDrtTvPsdvjm3\nbOzfD7tcctfA2Af+sKbpIrcAAHgz5pZKs/x+S6W6unrChAnu2TlvuummDz/80F9TZtXX1x85csTh\ncMTHx/vlgOr3vlqt1v2FlZ7Asa/A+WPZuQf+cfTv4650WMM8uxmbNtRvRm6p+AW3VPwiBG6puBl7\nY4VbKm3f2fhRJPqxWq3vvvtuZmamyWS69dZb/ThBp8Vi6d+/v7+OFiwGJ0Y5nefvwfXsErH4P/p6\npw0ACDy+KBssQjlwiEiXLl0eeughl8ulePwMUt4zl3MnBQDQClYMx8Xwjhep3SNJGwAMxJ+goEDg\nAAAEPf7loz4CBy6S+73NOxwA0BYEDlw80gYAoI0IHEAg7N69+5VXXlm+fHlDQ4PRtQAhi38FqSzE\nv6UCqGDr1q233367+/G333773HPPGVsPEML4lqyy6OEAdLdq1SrP4wULFhhYCdAR0M+hJgIHoLvY\n2FjP45EjRxpYCdBBkDkUROAAdPfII49kZGS4HwfjYjoAcOkYwwHornPnzkuXLj179qzD4RDl11IB\nQoNn4admnyLwCBxAgHTq1MnoEoAOh3sr6uCWCgAA0B2BAwDQUdDhYSACBwAA0B2BAwAA6I7AAQDo\nQLirYhQCBwAA0B2BAwDQsdDJYQgCBwCgwyFzBB6BAwDQEaV2jyR2BBKBAwDQcZE5AobAAQAAdEfg\nAAAAuiNwAAA6OsZzBACBAwDQoRE1AoPAAQCACMlDZwQOAACgO83oAgAAUIWnk2NfgdPYSkIPPRwA\nAEB3CvVw2O12PQ4bFhYmIiaTSY+D+0tYWJhOv76/aJpmMpkUL1L9ZnRfjeoXqXiFmqaZzWbFi1S/\nGbkaW2e11rdlN4vFYjabrVar3vVcCkWuRoUCR2VlpR6HtdvtLperqqpKj4P7i91u1+nX9xer1Wqx\nWBQvUv1mdL/n1S9S8Qq5Gv3CZrOZTCbFizSwGaurq9uyW0REhMViaePORqmtrdWpGduVtLilAgAA\ndEfgAADAF1OB+R2BAwCA5pE5/IjAAQAAdEfgAAAAulPoWyoAAKiGqcD8hR4OAAAujGGkl4jAAQAA\ndMctFQAA2oo7LBeNHg4AAKA7AgcAAO3GeI72InAAAADdETgAALgYdHK0C4EDAADojsABAAB0R+AA\nAAC6I3AAAHCRBidGGV1C0CBwAAAA3RE4AACA7ggcAABcvN/06ML3Y9uCtVQAALhUrLFyQfRwAADg\nN/R2tITAAQAAdEfgAADAn+jkaBaBAwAA6I7AAQCAn9HJ0RSBAwAA6I7AAQCA/9HJ4YPAAQCALsgc\n3ggcAABAdwQOAAD0QieHB4EDAADoLqBrqdTV1c2fP9/pdPbq1WvixImBPDUAAIZI7R7JAisS4B6O\n7du3JyQkPPfccwUFBfn5+YE8NQAAMFBAezhycnL69+8vIklJSTk5OT169BCRrVu3FhUViUh6errZ\n7P8ApGmay+Xq1KmT34/sR5qmKV5hWFiYyWRSvEj1m9FisYiI4kWq34yappnNZvWLVL9C3tSXTtM0\ni8VywSKH9Om052R5YEpqSpFmDGjgqKqq6tatm4g4HA6ns7F/6ciRIzk5OSJyyy236BE43McMCwvz\n+5H9yGw2q1+hyWRSv0jFK3QHDsWLDIpm5Gq8dFyNftH2q1HTAvqB602RZgzo72+z2UpLS5OSkkpL\nS2NjY90bH3zwQfeDkpISPU5qt9tdLldVVZUeB/cXu91eWVlpdBWtsVqtFovFExPVpH4z2u12EVG/\nSMUr5Gr0C5vNZjKZFC9S/Wa0Wq2aplVUVFxwTwM/hmpqOuvUjBEREW3fOaBjOFJSUnJzc0UkLy8v\nOTk5kKcGAMBAqd0j3f8ZXYhhAho4hg4devLkyVdffTU2NrZnz56BPDUAACrosJkjoLdUNE2bOnVq\nIM8IAABUwMRfAABAdwQOAAACqmMO5iBwAAAA3RE4AACA7ggcAABAdwQOAAAM0NGGcRA4AACA7ggc\nAAAYo0N1chA4AAAwUgf5liyBAwAA44V85iBwAABgmJDPGR4EDgAAlBDa91YIHAAAQHcEDgAAFBKq\nnRwEDgAAoDsCBwAAagnJTg4CBwAA0B2BAwAA6I7AAQAAdEfgAABAOaE3JweBAwAA6I7AAQCAokKp\nn4PAAQAAdEfgAABAaaHRyUHgAAAAuiNwAACguhAYzEHgAAAAuiNwAAAQHIK6n4PAAQAAdEfgAAAA\nuiNwAAAQTIL0xopmdAHn2e12PQ4bFhYmIiaTSY+D+0tYWJhOv76/aJpmMpkUL1L9ZnRfjeoXqXiF\nmqaZzWbFi1S/Gbka/cLAq9FqrW/jnoo0o0KBo7KyUo/D2u12l8tVVVWlx8H9xW636/Tr+4vVarVY\nLIoXqX4zut/z6hepeIVcjX5hs9lMJpPiRarfjFarVdM0Q4rse5llX4GzLXvW1tbqVKHVam37ztxS\nAQAAuiNwAAAQlIJrJAeBAwCAYBVEA0gJHAAAQHcEDgAAoDsCBwAAwS0o7qoQOAAACHrqZw4CBwAA\noUDxzEHgAAAgRKicORSaaRQAAFwiT+Zo4zykAUMPBwAAIUi13g4CBwAA0B2BAwAA6I7AAQBAaFLq\nrgqBAwAA6I7AAQAAdEfgAAAAuiNwAAAA3RE4AACA7ggcAABAdwQOAABCljrfjCVwAAAA3RE4AACA\n7ggcAABAdwQOAACgOwIHAADQHYEDAADojsABAAB0R+AAAAC6I3AAAADdETgAAIDutECerKSkZPr0\n6bGxsSIybdq0hISEQJ4dAAAYJaCBo7i4OCMjY/z48YE8KQAAMFxAb6kUFRWdOnVq4cKFGzduDOR5\nAQCAsQLaw2Gz2QYMGDB48OB58+Z17dp14MCBIrJs2bITJ06IyNSpU81m/wcgTdNERI8j+5GmaZGR\nqizo1yxN00wmk/pFql+hiKhfpPoVcjVeOq5Gv7BYLGazWfEiFWnGQASOdevWHTp0aOjQoUOGDHFv\nGTFixNGjR92Bo1u3bjU1NSJSX1/vcrn8fnaLxeI+uN+P7EcWi0XxCs1ms9lsVrxI9ZuRq9EvuBr9\ngqvRL8xms8vlUrxIRZoxEIEjPT09PT1dRJYtW3b11Venpqbm5eUlJye7fzpy5Ej3g5KSEj3O7r4a\nqqur9Ti4v5jNZsUrFBGLxaJ4keo3o7unTf0iFa9QuBr9wWQymUy5zsRCAAAGGUlEQVQmxYtUvxlF\nRNM0xYvUrxntdnvbdw7oLZX09PTXXnttxYoVDodj2LBhgTw1AAAwUEADR0xMzJw5cwJ5RgAAoAKT\nHsMmlPLOO++Eh4ffc889RhcS3D755JOCgoJJkyYZXUhwe++991wu1x/+8AejCwluq1atys3Nffzx\nx40uJLh9+OGHZ8+efeCBB4wuJLh99tlnR48effLJJ40uJAgEtIfDEOXl5eHh4UZXEfQqKip+/vln\no6sIeuXl5Q0NDUZXEfQqKirOnDljdBVBr7y8vKqqyugqgp7T6eRvYxuFfuCIiooicFy6zp07X3bZ\nZUZXEfSioqJCvk8xADp37hwdHW10FUGPv41+ERkZyd/GNgr9WyoAAMBwSk+HBQAAQkOI3FKpqqqa\nM2dOXV2d3W6fMWOG2WyeP3++0+ns1avXxIkT6+rqvJ9WVVXNnTu3vr4+JibmiSeeMJlMRpevitab\n0b3Piy+++Kc//alTp04+rWpk3YppVzP67EwXt0e7mtH9dN++fVlZWdOmTTOsaPW0qxldLtfixYtP\nnz4dFRU1ZcoU/jZ6tPdNzUdMsyzPP/+80TX4wZo1a7p16zZlypSTJ0+WlJQUFha6XK5JkyZ98cUX\nffr0OXjwoPfTXbt2ORyOyZMnZ2dnOxwOh8NhdPmqaL0ZzWbzzJkz9+/ff8cdd2iatm3bNu+fRkVF\nGV2+KtrVjD47JyUlGV2+KtrVjCJSVVX1xhtv2O125vjx1q5m3LVrV0VFxeTJk2tqaiIiIlSYDFsR\n7WrGrKwsPmKaFSK3VFJSUoYPHy4ikZGRYWFhOTk57j/cSUlJOTk5Pk9jYmLy8vLOnDlTUlLCYB9v\nrTdjZGTkyy+/7J6QXkR8fmpc1cppVzP67GxY0eppVzOKyNKlS8eOHWtUtcpqVzMePny4vr5+/vz5\n1dXV8fHxBpatmnY1Ix8xLQmRwNG3b1+Hw7Fz585t27Zdf/31VVVV3bp1ExGHw+F0On2eJicnHz9+\n/JVXXtE0jbHu3lpvRhExm82e7sGmP4Vbu5rRZ2cj61ZMu5px586dcXFxvXr1MrJiJbWrGZ1OZ2Fh\n4Z133rljx449e/YYWbdi2tWMfMS0JEQCh4h89NFHX3/99bPPPmuz2Ww2W2lpqYiUlpZGRkb6PF2+\nfPl99903Z86c1NTUjRs3Gly3YlppRp89W/9pB9f2ZvTZOeCVKq3tzfiPf/zj0KFDb7zxxsGDB7/6\n6isjilVX25vRbrenp6fHxsbeeOONx44dM6JYdbW9GfmIaUmIBI7s7Gyn0zlt2jT3QjIpKSm5ubki\n4l4lzudpbW2t+8vADQ0NdXV1RtatmNab0Wfn1n/akbWrGX12hke7mnH27NmzZs2aNGnSgAEDbr75\n5sBXq6x2NWNycvL3338vIidOnIiLiwt4sepqVzPyEdOSEBk0+vnnnx88eHDTpk3r1q2LiIgYNmzY\n+vXrt2zZEhsbm5aWlpCQ4P20d+/eS5cu3bRpU1lZ2YQJE9wjziAXakb3Phs2bEhLS9M0zadVja1c\nKe1qRp+de/fubWzx6mhXM7qfVlZW7t+/n0Gj3tr7ps7MzMzMzHS5XOPGjXMvbgxpZzPyEdMSJv4C\nAAC6I8ACAADdETgAAIDuCBwAAEB3BA4AAKA7AgcAANAdgQOAjl5++eV58+YZXQUA4xE4AACA7ggc\nAPystrb20Ucfvfzyy4cMGbJ//34RKS8vv+2223r27JmSkpKVlWV0gQAMQOAA4GdLlizJzc09evTo\n6tWrv/76axH54IMPoqOjf/zxx7/97W+rVq0yukAABiBwAPCzTZs2PfbYY+Hh4bGxsePGjROR3/72\nt1u2bJk1a1ZkZOTrr79udIEADEDgAOBn3kt1WywWEUlNTd2zZ09iYuLzzz8/ZswYQ6sDYAzWUgHg\nZ2+//fbq1atXrlxZXl5+ww03TJkypaysrL6+/oUXXigoKOjbt295ebknkQDoIFjFDoCf3X///Xv2\n7OnXr19MTMy9994bHR09atSoO++8c+nSpWFhYQsWLCBtAB0QPRwAAEB3jOEAAAC6I3AAAADdETgA\nAIDuCBwAAEB3/x+kc+ANFW586AAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "df <- read.csv('../examples/example_wp_log_R_outliers1.csv')\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods = 1096)\n", "forecast <- predict(m, future)\n", "plot(m, forecast);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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EpJcqRIb1zfn22mPXtiGIsnG3Ug2yiIiISC9mLPHscbHvsQNCa5k4rLynh9ZvKSCLiIiI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\nrVdfYciwYTz2f3d33Pxg1vnwH3+Fp28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Xn34CgIKJk5j9zBNYD16syjNQ5UWHmrsZklfA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\ni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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.read_csv('../examples/example_wp_log_R_outliers1.csv')\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=1096)\n", "forecast = m.predict(future)\n", "m.plot(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The trend forecast seems reasonable, but the uncertainty intervals seem way too wide. Prophet is able to handle the outliers in the history, but only by fitting them with trend changes. The uncertainty model then expects future trend changes of similar magnitude.\n", "\n", "The best way to handle outliers is to remove them - Prophet has no problem with missing data. If you set their values to `NA` in the history but leave the dates in `future`, then Prophet will give you a prediction for their values." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -21.2638\n", "Error evaluating model log probability: Non-finite gradient.\n", "Error evaluating model log probability: Non-finite gradient.\n", "\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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z/HIm67V+jf3kd93/5lVo/rqUC2BSm+DmQQrbCrnl6hPppevOZr7UuxEAiqL0\ner07fnlompZxchbWkgYSHGyPZTAYmOc1ICCAnb61yuNQL1AUpVQqq6tdWYXfYIjFYoqiNBpeOIQ7\nQqlUqtVqA49zGfD/NjKjRGq1usF0m9VMit0/BOaOMYdiYmKMe9n3YIEIQHW1qjY39vitAq7raO09\nSRk7rU63OsoaaQ4iLpICSEwuGBTj7SURAihUacUU5SMT9eg3uLggP+N2mtb2RR84efTg6aOHHBmj\n9PKqrOBEqigrk7QZhELTElmlP/P/rRvXzeewfhgCIYAFCxakpKRs/m1teeQDkN393LHcUnD0fwqq\nUpz409kpIimmckKwy+0oSygDAEBodivJz89X6+4iMhUb8fNSbvmh1ILuUcarZJRp/r5SMKdHhPPT\nL+VV3Sg0+nsWV2lsn6iz2RVbrhQAWLAj+YtRTY/fKhAKhdU1+ZGUcQKUFau0xSqACdC++dqGh1qa\nG8+paB+qFNS0UuFASuGl3AoApWqt3Wf+Sl4lgOxy9ZWcsm6R3gDkcnmlxpng0NN0YrJ5yGrdOWP4\nuCO3S67k+ne5y2CpKq3h8Y1XmXJWSVWMj53uW63TASipMn4EgUCg1Wrd1A+6MK7ZQD4cEydO3Lx5\n86JFi5KTkwcNGlTzCQQCwZ1YKZLAwMB//vln1KhRIoXpRyQqHoCmurqqwl3xi+7W29Ts5DFgBoDk\nAtXlPGM39t2JnM3XCi+cPvHt0vdv3Uy2qzbCIqPupJjf/tt37THxsafGTH6U3VNp+Uk3Hr+WmM+Z\np5Mq7EyUiIxv0oGhEd37DSwpKXnyySd3bvmz2jX3l/7TEdrMWBYIEdQYPqFOT6BCx74Aha95h8Te\nkhxGFYXGofVAAG3atOncubNrbxCl1fr9t0rZzYs5FYfu1OzV8e2JrLwK40t2QZXW1umhwOSOc6PI\n3DW67OhQotKxwl5noN/YlbY3tdTgVOv/m17+20VjzA+Vlv79op3BpLf2GmPbc/08XE7YVs4ZGtl8\ntfD7UzlXOWtw7LIrpVhl8mt5Z98d26XL1TpDpdoAT/j81pIGEhwhISGLFy9+//3333zzTf7PtRMI\n7oNv6dBYe/r27fv999/TlOnFt990AP8e2PvZu68D0Ol02Rl3tPU9jETTdF52VmVFec1VgaFDh/bq\n1QsAGndg9mzflrB5/ZpqVVV6Qcnfx69++cNqJ6fnZGbk55pDWaiqqiIbxSRsXKYHJt0AACAASURB\nVG+/tsIPLfoYLHw/KePsCZfhc5n/C2Uhx48e+eGHH86ePWus7AqUOUTYwGfRuAOi24gbxTuqHdCi\nU27sAItdHcYwrqMWMKpIJEFUWwAjRoy4lKdyebCtnNOZVekMxSrty4mpTup/eCA9lSMjTmVW/Ho+\nz6qOxrQaRa0zsIE7ta4mfDfQdJVp1W+5Wq8z0EsOpd8sdPiWX1Cl3Z5cyAZ0p2n67yvWnjTVOgNb\noYqzItdlVaTiuMQeTS/beCn/oNNJrowyzVfHzL7MNE0XVlpPlPxgUi1avqb/JYG/CIT/Gi6nax8/\nfrz5hU3uw0wTHNi1bfr06dNGD3h8VP+RXVpcOX/GNRts0Wo0Lz4x+dHhvcf1ajd91ou1afbo0aMA\nIDVOcxw5fOjrj99dMPPxmzeSy6WBtyU1jO1zSb58YfmHixwebj8SzXpa73zYMhi5QIhYU0K12C7m\nwQmJHGJXX6tkphkc/wgA8I/UxvXlHvfxNYkeiULb72nr06PiERJrsaftMAQ3MZalCgB//r1Fr9PR\nLkoi8/v92ZyKFSeyaRpcPWFdWWs4l2u9KKOo2noagjtOwAZW19XhLV1jin3OZr4tc/zSv/Va0b/p\nFpLXdoRAzbGQm03XZcHB1QSM+CizuS0sZdW6d5JuW+0stzEyt8L4PqBzVau5GyI4CIT7C0dxQtVq\n9enTpy0iVkkUACCSpPeenac17v/tx29rbL+WZiT8ue7yudPMZsLGdZcvX7aqYFuOioqCQGj2nBDL\nAFwJ6oGwOACQ25tUFggRFW/nvX/Kx+bhBCtEEgRE2dnvFWiR1k4it463wdB+lLl8t5hikoqVRj8J\neYCFkRRl+tEOji33joQtUkvPgNjOjM5gG09LubFlw68uvwKzPWWGaYFopdbgaMJifmJqUZX1i3iF\nZXK49FI1dy0rO9qhp13vNRm9QdNYsCvV7kW5Vz+XYx3QRa03WCkJ7nCLnuYKDheN3HKtkA0hrzEY\nAKgchzJLLa6+XWKt6jQ2qoIdNXF1nsftEMFBINwXONcBd+7cefLJJwHLEJmMQ0DXiRBJ2NmEnMwM\nJxMrdlWCo2qXzpzm7vz7778dVDei0+k0Go1FvCymvw+INk5h2HgwBIWE+rbth8mLMd1SJ4U2Q2Rr\n+DkQHF0nokVfO/uFYqGUszQgpKnFUZEUQKMmzeAT4vyDOMOkYNh+XWWKOA6KglRRWlIEACIJ45Bh\ny5AHLSPEc/WH6f5k3E6zzIx2F1Rq9UyUT5XW2AJN045cGTLK7ATe0FhWvppflc1xR6jLwAbLor1p\nAErVuswyDXsVvT1VlHC9iBtAneW8pQr5YL85iw1Xi+hcFUV3StRX86sAbLhUkFmqAXAis2J3ip3A\nu8Uq3dfH7aRl+eFUDusZA8tvQU+mVAgEgmdxkgPlvffeS0xMBCzDXwrFEEnR82EA8DV6L966ef2T\nRQvuqnHmEHuULciVFuv6bt26xT3Ftp1Nmzbl5eVZSCLGx4LVGTIfo7+CVwBa9kOTLgVlVaWNuoMS\nsDNEAAAKD30IADGdLFpjEMsQHGu904TKy+TFKRRhguWMjEQeGByyZmtS/7GTHJ1eM406QKKAb6hZ\nKPiGIaQJALQaiGlfY/DzABDWHG2H2W0gz6sx5CY30hZ9LYZqTC4pfQcPd3m91J0S9cpTObCcB3lv\n3x0Aeppecij9wwPp1ToDgA8PplfbS+t6Oqt8wyXzkEZJtYXEYAc26tJp3ixSGWia62zx15WCy7lV\nALLLNQnXi5ILVQCqNIaMMvvq+cMDd9hyuUbPFSWWIxyuW8lM3BzPKGNuV7XOcMkUPLdYpTuTZfwT\nSC5UpdkLmJZfqb3DiUL2xb9ZrNtpsUrL1SL8oYGWxRIIhIaB21WXFBX++MWS4qLC2GbNn5w937ys\n1IZ//vnHWKI4LyECAeQ+xsGDoS8g4zKKMwEkbd9CUdBqtcGh4VOmzwwICrZtsDZIJBbr+P/555/D\n1zP7tLA3TQAAyMnJASyDeDbpios7zSIpKh69puLgKrQaiL5PoLIYFYUm1woKEgWqywFA5mWcueg8\nHqknkX4RAPo/hZCmuHEUYc3RrIdDoyf9D8sngaIw/m3r2OQi6ZIffgVgoOoQZ6lxB8R2Ros+5mGS\ngCh0egAXd6HHFHgHoXmv0PCIXL3DBDEXig1NB01I2bYaIU3QdaLF5I5A2LF7r6nPzG7ZsfuH62vl\ni2OX/EqtRk9nlJkH+ZlU7BdyKpl3dIVEMCjW72BaqV3XVJ2BvllkXMXzb3r5D6csktKxEwV1eUmn\naVRqDVZDKUw2taWH0y/mVnWP8n6qY9iulGJHWWfLNQaaNi5L+tsyeil3DMblKRWYorNXcFQRs3Tl\nQm7l8n+z9DT9VKfQ9qHKLVcdxoJjfU10BjqNIz7yq3Rbk4tmdHK+xMkDEMFBIDQ03DAVdUx+5pwV\nn/xv77bNAI4fTPL1D5j8xDNWFf49sPd2yg169JA5c+Z89dVXACxWfoplMLC/hhS8gxjBAWDvti1M\nISMtdfE3dnLZM1gNVFht9hs60iq4OGjayURMSEgIYDnpExaHYXMtIoIr/REZb3z7V/pbdLdxPXFx\nF2BeywrA6Nuh9EdMZwRGI7qto6sbEUkw8mU06co6rrKMf/ypmKZxAKpcHmdnTfK21HARrREUA79w\nAJD75srbO28goP9URUy7i9Ve1k4qAmHT5q06dOuZUlhxq9j1uPUVGsOBtFLu+L9WT/9xKf/H08Y4\nEwnXi6ySs1iRWqQ6nlGeUab+yXQKi1kk1G1aoEpjuJRrsdD0VFbFnTJ1apEawPGM8st5VdWOvykD\nTe+8WTS8mf9PZ3KtVslezqvU6GmJkAJA064nImVmzTScQaDMcs21AtWBW6VpJdUAvj6WHe0nPef4\nLyLpVkmHcCUFatnRjCuWE0OFNq4zfIAIDgLBw7hPczBqg+H6xfOnjh70Dwhq2rI1s+eX75av+fZz\nAD9+seTbb79t2rRpSkqKxTTrxA+QesK8adPFAjh+aF9VZaVCaedQjXTo1nPqM7PXrfya2Rwzeaq3\nr7NgWUxWBOs0JbGdLTaj2iCkibFvtmLQTKPg4I5MMD4ZI19GoJ1o1vZpNcDubl9/o0qo6xqBdsOs\nw2848jVxwMkcFaTNYLtQRiD8c/VPHXv0VratUzaJ3ArN3lTrlPfMPEstSStRL9yTZveQ3qQ46Lop\njr+vFvx52WJk4m4T1H1+NHPt+TzbuYnTWRUpxapWQQq4GuGbYXdKsdZgKFGZF6ekFFXP3ZbCeuDW\nmBjl6J0yvQEZpdV2YnLwJpsuF+LDQSDwF7uOETU6Y7KMmGBOI7J/17bXn3ti5kOjv//sQ2YPozYY\n3n333ZSUFMAyfoRUYdG5iu1HMnZNbTCwagNAdGwT2wrZGXeOH0wqLS4C0KdPn0GDBlksDLHFOwiB\nDlJpCMXGj8CNlDXwWbQbDn+H8zi1Z813yxfOnnH53GldHePJBjexq+3qAYEQwP7ErVV1CwxVUKU9\nlemucDLM7AwAJ8MPtcFKbbiAnoYjTwg2cWBdvulbxdWrzuRarW51HqDMluMZZbZqA6b0e3yDCA7C\n/UVlZeXWrVsPHz7Mh+wwbgoCpqqq+mn5J2/NmaFUerVs2yGmWfNeg8wJOzauWamqqgLQo7855m9e\nnikWE+X4N0Fgfahlm/bf/vaP3bq1wWCw+KmtLLcO/5W045/HR/VfOHvGxP6dz58/r1QqV65c6czC\nGpF5gaIwiZOWVizDkBfgHeR6mywC4fGDSbOnTnA5YpXbEQgBBASF1FFwuBVWKKw4nuG8pgdhlw55\n/kfEAap6We1T35ApFcJ9RElJSVxcHFN+5JFHli9f7ll7WNhZFUaCcMvO67Ob3KPff7bYKoBmTmY6\nd1MgoAD0ePTFY5lVuHlswIAB+/fvBwCZN7pNdmjlwGeReZV14wAwatIjzeOtnR5omlZXq2RyO5ml\nrBAIhA9Onb5p3Spmc/DocVYV9mw1L5T98ccfv/rqq+vXr7sasAoAIBRB4edoqKaumIZeNLwczQYA\nqbL98ElTps/8t4SvkggoNk0iZJTyNzsSO/rCh/cWu/BSb5ARDsL9hHHlJwDgt99+Kypy5tfmVpws\nIq3xqG1lqz224bqrOXnbH5s5RyqT0wbDkayqsPEvffjHno0bN7766qsA4BduZ5koi1hmnHroPA7h\nLQAse/f1Ie1it/y+lq1y5tiRoe2bjOke/+7Lz6tryidSUV4WGhk1fPzkZ19+47fd/0Y2inFSWSgU\nAoiLi3M1ajgAIK63u9QGzILDUJcxGLciVWpaDsq4fasuizndjZ6GRk8bDHQ1P/tMAFzB4Vk7HFPX\neT33wNc/DALBDVjlUxaL67B8sb65K5HhnMGjxzs5KhAIAHz6zmsnT53OMcjfXJXw+U/r58+fv3fv\n3h5DxtTQdHQbjF+EPk9g0ExExgNA4w5f/b4tN8s47LHg2ceYwuE9iVs3rHPSkk6ne3/+rBVLP9i5\neeMPyz6Sye2s8xzzkDmGVVFRUXl5edOmTbv1HVCDkU7o+wQiWtZczTUCoiAUSaRSLW9HOICrKbfn\nPj7x+rUrnjbEGdVavUp3t84MDQoTg+RgqjkDC9/gZ+wvIjgI9xGjRo0aMWIEU37jjTdcSK9cR+ou\nKZwvNGWYOf/NoWMnOGph7Yovy8vKdm7507g6VOb14evzHn300fbt2496ZHoNl+88Hk26QChCaDO0\nHYqOYzH4ecT1OH300P8WzFn4wlPcupfPnU7YuH7l5x9fOH3CtqU7qTfPHDvCbl44ddy2Trd+g1tP\nnss4ru7YsePTTz81GAy52dm2Ne+CES/V6XQnxHRCeAuNWl1SZideJF8QywBcu3K5xooepFpHc3Ob\n8RDGS+dgahFvx4r4Gd2c+HAQ7iMkEsnatWuTk5N9fHzCw+2tnOQlXI+Na5fO5+dkte/S47zj+gFB\nwa8tXnbt4rn0tFt2K+xJ2ISQpsYYlBIlgKSkpPnz50dNmn8XZrUehNaDAMAvbNnBBOxPsDp+aE/i\noT2JAP5Y9f0nP67r2K0X96hfQCB3MyDYTjjwawWqK9FDENEfV/cD2LhxY2Vl5W2N2+ZE6o4yAICq\nSgVv9ywzqTvMjJLzlT6eRmOgKb525AxMONRSx+nWPI6+DhHJ3AcZ4SDcX1AU1aJFi3tIbXBZsmTJ\n7EfHv/fyrAf7dbLyA+Wi02q3/P5LeVkZAES1se1dvvn4PbQbZnTIMEXBWrNmTWm5awMwVI2rPI7s\n3Wm1JyAoePYb7zHlh2c836ptB9uzjMGLmAjrQH5+/po1axyF9OYFEjkAeR3WCbsdsRRAaooxpRlF\nQSSoixeuW9AbLHKnCXlnoHGEo5LHi334OcJBBAeBcG9A0/Snn37Kbu76Z5Pdaqf+PTSic/OvPlxU\nUlSI8Ysw8X1jJg4rFKYQnBw5cvLoYReNk9UQuCwk3E7y1fGPTHvnnzPDvjnQZOyzds8yZ+vgpkxT\nOgsO5lliWrZ7bOYchdI0VZew1KPm2IPRl6Yv/enOYZ0j3BXo1mX0tDl3Xcsg+azuEZ61xxYmnQqb\n3/Xhti5G93cf/JzrIYKDQLg3oCiLFz2LPOkcvlpsyigm8zb6W9jNtM6G9+YIjoz0O3Zq1gZu7E6x\nDHE90awnu6NRk2bjHnnc7nn/XC/ZlVLKJp1iOH/y2N5tm0tLijXsj6Ypuujjz86B2GEaEY8zcNzk\nqc+8UFlZAQDaaos4rTyB+bpN62hkIkGdVv24B52BZvtLoUAgFfKun2KUMCuIhzfzd1bbExSrdHvs\n5Z71LLz7IgkEgi3MGpZX3lvCbHbs3nvUg1Ps1sy8k2YsdX3QWBjxEsKaW1SiBHYFh1+Qq9meZErz\nIEfjDhj7BgY/xx6MjG68b/s/tM2k8qdHMi/mVgLYdz135eYktboawDdL3ps/45GP3nhp4pgRPx+9\nyRoZ2Tj2k5W/zn7jXYtMKDxDozd8vnKtMfvp+lfAw4UWFCM4jCLDSyKkKN4Zqadpc1I0ChTvFBHU\nOgMArclIin8m6gz0WffEFawLRHAQ/lO4KXanCzha5rruQp5VLqjaM2LCQxv3nfx+w7aPVqz28bP/\nUtW6fScAkPug60TzXoXlNET/GYhqYywLxez7bnhje5MvtSEgGn1MYxjMZA2bZhb498DeT9957Y9V\n33PPOJddcTa7nHmRLdGL/jhw6pUZj6gqK/9et9pYI6RJCW3yDxUIM2/funL+bDVvg3gCANJSUs5o\nAoyOmdpq0PyzVigE0KZTVwAURQUrxAL+jXDo9TS7sljCw84c+Oda4c0iFTvCIRUJmgbyzpeZyY7L\nK4jgIBAajo2X8lefzUsuqMq8k5aelupCC/6BQU1btnaSaH7ImAkArIc0rHwsAjipQ3xD0cM4WOLj\nX4cI316mcxnbBEKILMKcnDx6kLv5w6mcXG6iCpnX1QvnZj3KCTYq5djcpCuAVV9/duXCOdctdD8X\nz56m2EQttCG2udtifriKf2Do6l3HZVEtADzbObRdmJJ/egOH75SxETyVUoGfnI+rKe+UqtksfWIB\nlo9s6ll7bKni39JiIjgIBBepfRI1lqxyLU3TV67feGLMwOkPDF6ycH69h0a+ee0yZN6Y8LbF3mY9\njHnYAbQfhbA4i6P+EQBeeO0dL/86TEUzfp0SOcJaGPcMfIZ7nEngwvDm7rSbRZZxSMUyAOm3UsZM\nftS4h+sXYpoeOrjHerULrygrr8gvLmPKkx6fsXztRs/aY4saSMrBqfQSmCYCJPxbBLL5aiHrNKoU\nC7tFer/S254fkkepVBtYIwXgoSeMOeELfyCCg/DfoSHnU1y7FpMRu6DYmNp799ZN1y7W9pX96oWz\n3y55/49V31dVOLt0y7Yd4B9u/fvXrAciWgGAwhetB5nFB4NE+fS8BROmPlGnpfuML2dMJ7TsZzLF\nIgf64JEPsOVreeXWTvSR8YgfDCD58kUAUPqjZV/zUYUvM5N/9aKT+CM8ILIVlEbRNmnaDJlUzrf5\ngCqNYe35XKbM2DarW0S7MH6t49UZ6K+PZQBo7Ceb2j4YgETEs/sIqHRmwSEXC3k4M6XhX8JYIjgI\nBNe5W9lh/IUSmIeI76TedFibQ8q1K3Mee3DTulUrP/946duvOKpWXlZ683Y6piyxc4xZTTr8RYQ3\ntz4klv745dI/1/5Up+EWxvnUK4DTrIzNzCKMbPnAw0Ynj1d23iq3TfotVSC6HYDkKxcBILqd2csE\nAChmCEQq51fXaE1oMzYkCUWBovBmv2jWCeHpzmFN/Hkw02/6kkuLCwEEyEX+MuPX1DxQ3j/W19F5\nDcntEjUAL6kwwlsKjnymKLQNrTkvYAOw40ZRlVoPQCSgxEI+eproDAYtz8JxEMHhSTIzM59//vkp\nU6Z89913nrblv4mbxjycN8scTbl+ddG8Z6dMmcLkpDUYDEeOHMnNyQUsFobcKtO/tTetxiuePHKA\nLR/eu9NRXrTl/3v7n8Q99uNIDn0Bz65GYzvxtZi+/MLpE3m5dYga7hOMNkOYCF2cluUA0HGsfvJH\nb3//O5MeI7mgyv6vIDvu4hXIhDO3NbLPIB5H/bKEolFeVnr4m4W0XgfAV0L1i/ER82n+4vLZ08aS\nyai4QHlcAI9WHVM0O2dhNJECNb93tOcsMpNeqmZWqYR5WadkerJjaNMAmcc1SEaZ5t19aZ61wQoi\nODzJK6+8sn79+qSkpLfffnvLli2eNuc/Ak8WqsycPOrovt1JSUkffPBBYmLixIkTx40bdyP5GgDI\nfY1RPuU+iVm4mlvlvCkAYZEWP7ISqfFF2WDQH9i1fdO6VUzg0X27tnMDYFhCwSvAvhYRSQDcuHpp\n99bNtf58NkgUsgFPokVfi51jFsA/EgOfgUB4yrtj4o3iOQkpVY5ymwVGI6YTFH7o8zhiO1sfFUsB\ndOs3wHULGxiKWr/ymwO7tjOLY6NuJkZ4S3k18K7XG1cxMDYpJILmQXKZSMCf2KPmLttU8JYIgpWi\nh9rUwbu5vlk2ogkA7j1rEiD7dESTZgGeH806kV7+3fEMT1thhggOT7Jjxw62fPr0aSc1CS7jbv1h\nt32rEYg9e/Zs3rwZMDlCegUYvSAbta8Iiy/T1Lx6rf+wUeMfmcaUP/vpN/bladl7b37wygvfLnn/\nsZH90tNS2w2bbA6/UWskckV8+875Odl17A2rJT4IjrXY1ag9nvia3Vp2NPNqQZVD/zrfUAx8BuPf\nMqZosUIgBrDk7dfrZGJDQutzMjMAMItjtepqAH1ifEJsXog9RaduRm3KyKDe0T6jmweMaxnwVKcw\nj9plhmIHNigKgICiWgQppELB+JY8EhyMLOI+014SobdE6OkBDgDQ07SaT66jRHB4klGjRrHlLl26\neNCS+xCXhUht5lOkMnn3vgPZnV5ephWeJp8GY7AKpR8AGtSGSwXOL0oJBC+8/u6ER54AMH/GI3sS\nNpeWFJ8+djjx7w1snV+++3LYo884bsMhYqnc17g+xQ2/kXeVJ8w/0npBr7kdAYAzJ47Wh00NAQWq\n54DB7GZ0ZBSAKW2Cw7z4ErhMKjPNnlCAqVOnKErEn8xupudRABqATER9ODQGAMWbMRiYxjYoipra\nLkRIQSoUhCol4M2yFZ6YwcDH9c33D5999llAQEB2dvbgwYMfeOCBmk8g3A2enVt5+d2Pfvvx24L8\nvGcefyQvL8+4l+19pXLAvPLz539T+gdUh0ZYr/2bsy1lbo8IRWXeP3/8kpOZfiRpF7o8iPhBH285\nhDet06zfSrtz+fAleMXiLtEZ6OKiQsh97HhO8AfLmNz8RyYWDXtgolyh+F+6kAY99dGHmP386QAq\ny4wreGVCSiSglBLjveXPvA9rR9tQr4mtg3beLDbt55EvJDsMM71T6IbL+R8MbhzqJQZvbqOAT+KM\nCA5PEh4e/s0332g0Gk8bch/BTfXOLde9zYsXL27adTCudZv4Dp0BBAaHMtlQ24d73bhxw/ociQIA\nhMaXXZ1QOnVE3+82JDRrGa+naWY0dufN4uSCqi2XcxPnj4G60nhiZGsENoI/J9utUAy/cBTeKZMH\nFd692gCg1miuXjiLRu3ZJZ08JL5TNz9NsyOn+b0s1gwtE1EA+g4ZOTe5qF9jX2+pUWvypB8CEBgc\nwhRm94gM9ZYEK/gy18PC3itfmbBrlPfxjDLTfj7B+T4FoKSmFbxxQfKsCnVptYczyvLlaQNABAfh\nfsBKWHBHPuwecqRCnAyZ7NixY9o0o49F3yEj2nTqmped1axl68GjxwFo3rz5gQMHhg0frmbndQUi\nRLdFt0mmTSFE0h2bNsx49Z1HN157uG3wkKZ+y49l6WkkppYjui1uHjPWFEsBbuRQCvGD0fcJlOUW\nSl0VT8zgAdtm2hnIfRDazMXW3MPU5+a9Ob4n/PjiXsCFomyypui0xQX5AcEhAEY3D7Cs3XCGOUdo\nSoomEVJT24Ww+5USoVQoUPMhijznXsUFyKd3NH77fnLR7O4RXx/P8oxVllCc776xnzTK1+grOrdH\nxO2S6vM5lQ7OayD44ErCwi+lSCDUC47ymLg2yVKbs1au/Y0tH9qTuGLpB3/98tOShfPXfPsFs3PZ\nsmXq6mrzL6jCF10mWOQhC4i6cuXSgp2pFRr9j6dzHt143eztxQ1MLpIAEES2NnpWNu+NIbMgVSK4\nCXzMfcbdwQgOqSnERcYllNfgU9LwXLl0ATBPqUhoDXTqBrq2XgtttcOj+bemtraJXZF2+qHB3Y1B\nzCyZ0CqwWYAcQLswZesQY0iJUC9xU586uU4471ca+9lZMSFy8PM/tKnf7O7hAGQiARMGg8HdWVsp\nmzxt3E1fmZCNESKgqCFN/exWcysiASWzuWvc5a/fjm3mKxXaPdRgWC0yovijcHkywiF1kGi7LjDf\ntDtarkeEQiFFUR5fru0ciqIkEkm9R+CuR9jbKJE4nJy6WqgBIJHY8dfjPiRMC1cLNR0ijDEhzmWV\nSyQSpo5V+9XVqoSN67PT74SERRj09leaXDx9UiqVFhUVbdmyBc16IDjGeEDug1hLN+HJi28kfIwC\n4/IWA/eGS0yRjsJbMHGlDFIvxHTClSSLrCiuQkmVdPPece06GSd+aBrXDiIohlfDCaVifwDGeKkF\nt3+dOejbDdv3o4Xzs+qHPxdBowp58qM8vb0YFdpqXVE2YBmNKul7AAkb173ecZlV9QHNgnamlEb4\nyGZ2j8zKK/gi63Yh5eWXdur66aMYPtc1A9uGeT3ZKWz+4i/QcYzdCp+NaPrGmm03pDHcnUqpxO5f\nBACJRCwWUp0ivN8aGLv2bPbvF3JlIsFfj7WbtO6iytGqZqcIKKp1iHJYXMCyw3fsVmgepJjbM3r1\n2exTpnkTAAJK4MhCKYxmfDoqLqtMvep0drFKO7pFkNZAn8goLVG5mLdsZPPAs1nlORX2f0l6NfLr\n2dhnyYHb3J0SqUQisS8WhQIKQMtgZfdon1MZZZfzKmUiQfMgRYVGn1pkP5ROjfjLxVKRIKfcodr+\naWKrJzZeMdsgFLijH3StR+CF4NDr63+Wi+nF3dFyPcJ0kzw3kqZpg8FgqFPUa/fC3MbT6SWunc7e\n/3NZ5bY7mQL3X5bFC+Ye2LWd3fTy9qkoL4MlaTev6/V6o6YMb+HM51GqwMT37B9i17Z0egDewabr\nBaBFX7Qb6eyz1Q6aEgyY81F8qNeNY8ySfRrJh9GiD68Ex54CGQD0exKAVCwK9vPOSEtBU/cLjitJ\nyEuBtjovPc0od6yoruwdG1jho0i4XmjeSdMAhCIR95nRqNUikUggFI5rFRjtIw3zEn3x8quZNzMh\nFF/PugqFL85sRaexLtjYJcKrU7gXyvIcVdib8PeN79/E3D+5OyVChz8+TfykL3SPHNcqCMCUtkF6\ng6FfjJ9CiD8fjh/9ywUXLPSXi74a0yy73OErwajmAfEhcpu4aLQjC0UUi9kcnQAAIABJREFUPbip\nf6tgRccwRedw5cWciiqt/tH2wRHe0td3ao9nWP8l1oYHWgXO6hb54vabuZUa2/40WCEe1NSvSmNt\nD613+BPeM9qnUq2f0jZ4QKyft0RQUKXp1chvbs/IbdcLPz2c7oKFFIXJbYK9pcIfTmaVq+1cVSCg\n/GUW6kfApy6GF4JDp6v/LLrMT7w7Wq5HmJ6S50YC0Ol0/Bcctfyj0ut1p44eAtClV1+hUATOQ8Jt\ngdnJTqbYqhm1upqrNgDYqg0AZaUlr7/++uLFiwHOQIXjj2J/d7eHkHYG+WkWWeaj2lgG/64TJdU6\ntc708ZnfWp6Naan0gEQBuQ8AtapKq9WgYZYqnPjLOJ9iN9e8QY+SrGM7t7QZ9VTCdc5+mgYw8fEZ\nzENFGwzL3ntjx98bALz6wSfDx00CUFSQzw0gi6pS5FwH7lpwPNAy8KH4IL1eP3rE8G2FJRYPiYnM\n1Ku2O6UCh915rJ8k1k/CHPUWC2Z2CQOg1+tdWx4iEwlGxPnp9foAmWBah9C153Jt69AGWq/XWzVP\nOX5ppIA3+kYBoA0GPfBaH+NQn16vd/nBGN8iUETR7w1q9M7e29cKrEcgov2kfaK92JUyLAa9wdFv\nz/iWAeNbBjBWjW8ZMKyJn4GRUHafpVrwYKugya0DKIoqr9b9cMpOXODxLQJh+VtNGwz86WKIDwfh\nPkKv173z4syFLzy18IWn3nlxpt7BPAgce4GwSCS1HaX8/vvvq6urR4wYwQTndgWpAsFNAFgHDq8/\nqrR6nSkTVVSjGDddpa54B5o0GX3z6pXKcvOIlIhCz2hvR+e5zKw2chSZAjUeXIUcm9VGGZew/8d1\nK79OvmTx3v/hilUJxy9HNY4FYDDoX3tu2g5TxJRP3n6ViQvn7Wvj+WEl8rb8b5DMTt/MJcRL3D3K\ni4mY/tKUEdHZJ2zrCDSVXbp2t+rkHmwd1CZU2T7c664WatkusXy+W3hcYA3R0KN9pYy/p0hAjWkR\nYLeOTCwAIKAs7oDUxZxtFme1C1OOiqt5+dVrfaOjfaUAAuViocBOz8g0KrCdAa+1jQqJwEsiBGDb\n/vhWgTWeHiAXtQ1VGsOlOBBVT3YKtTKHVzP2RHAQ7iOSL188diCJKR87kHT90gW46klKUdTH361x\nVmP4PAQ1Zoq///57YmIiJHUIdSxTAoDIXUOSKq3hzm3jzHTG7VuAgxd6j9JjpDGIauMmcbMeeSA7\nwzyV3iJEObdnPWcwbxeqHN2hyZw3TfNc2cnmxcksJolQkJfD3a1UeJ86cjA9LRXAwV07zhw7wj1a\nXlYKQCAQzn9vSVBIKIAxkx9lVlNzeWJUv1nj+sMpE1sHdY/yMdpiMKSnpdjWaX56ZVzrtq998Al3\nZ5SPtO4hzOf1jJjYOkjmVBZEeksW9DF/NY6uGSgXwcbD0TU31RCl2MvkVEFRVLtQZUxNUcbjAuV9\nGvnYRlK3MMaBk60LN7FfjM/Tnc3zlVKR4KH4YCf1Gaa0De7T2PhdO4quQQEyEdUqWMHZwyPFQQQH\n4Z6kNipBra6+dPbUmeNHUq5dYVycxJYOaOxmjeMZdonv0KVl2/YOD8f1YgXHsmXLAHOYL1eQKBDa\nzBif1A2o9YasvHzjhrahVn/cJSOmTGcKMrkc4I4H0F+ObGL1clx3XusbLRUJuvTqx+6xMyahN+a9\njW1mESB13rQH3335+ekPDN69dVNxocWSHx8//6CQMACVFeWfvfNaQV4ugISN66fPmR8Z3YitJqCo\nx56eZed9msPQpn7DmvrduHop7WYygI8Xzrc7EXbt1NFHhvaUe1mMADlv2RFCymKIwlsigtO1GBIh\n1SnCO5aTI9du//dEh9AO4UrmMBfbJSG1YV7PiI6mYZt+jX2e7Bgqqsk1f/HgxnKx+VoSe778AXIR\n7MkOF26kVCgIVorZ0yO9JT4yYd/GzvL0Dm3qN6Sp+c+/TYiyc4T10BRFURIRRVHUkmHmeDz2Bms8\nBp9sIRDqxspTOZllGp1OZzDoC/JyRndt9eITkxc889jMh0Yvfm0ubTA0bdF65INTmMrDx09u1jK+\nLpdbsfT9axcdx6ESyxA/BBI5gKysLMAiK/1dE9cTo+a7LzBXXoX2mtD0GqpVefn4mrsug97Om70n\n2LbVmOBQKBR07zsQmirGSApUaUlx6vUrTs611786Eyi9on2ClCIAkY0af7FmY/9ho1q16+DtbTNr\nU1kMoFW7jpGNGlu2bWx8346tPfpbpIYpKyl+4/kn/z2wN5XJ5Gdi+eJFmf9ux3ljfiUpraFpg0jg\nTBjEh8i/WDjv+Sljn35w+Gszp+3dthl6nbXmoGlGFe34az13t2sj7RSFF3tGsp0xM0bSK9rHUbz2\nWH/ZvJ4R3D1KiWBkc+tZlTBvicCYLcW8Uy4WcpXK3dnJfrkUAIyIC5jeKdRR5WkdQvzlFi8DiwY1\n6hCq5O5pG6pgQpV0CffqZxpmYHBtoMgckQf4YVycTCR4saezFWddo7y5C25bBMn7WJoBwEcqENrc\nRh6NbxDBQfgvsSel5Jm/Lo8YOmhYh2bvvfQ899D+xITL589QFMVGVywpLNBo6vQqv33THw6PyX1B\nUWjcAVFtzTvvKquIFcFNjAlmGwBtdUVZqXlKJeU4fnsVyYcb6OqOOXnMGP2MAjX/vSUT+3Zql7EH\ngACY2K/TG9PGY93Ldk+c0yOii9XrYPb1Zqk72oQ4dD6Y2zOCzb4VHdv0wK7tVy+cy9q3UVZdxG0E\nJ/8CcPXC2VvJVl6Zxg4v+crF1d98/sKCRRYf5MiBt+c87etnIR/vpN5EZTHSTgMATau2fbFo7rM/\nL3v/tWYO1k9eOxBYnMJ6Lp/+9xAAXNuPgz9bVKsshkEP26GFOgwIsQ35ykQAJsUHMd4P1tUoRHpb\n7xcJqFldw612Kk2jC75SsyiPD1XWxrPBvoWm7475EiVCituyFeNbBlrJL2+JtZeFr0zMjEkoJIKe\njcxDEUKKclFw2JjqxCF3WofQgTG2Hj/W1/1oSKxV43A6/tTwEMFBuPdwNP1RqtZqKBGCYgBcvXjO\n6mhlednVi+d+/f4rZvP4oX1H9u502YZClTb20TcQ3db+4Yc/Nha4MbvqMqXSYKSeQMZlAEg5jsI7\nAGDQoygDWXaWOTQ0A2aYSvp9O/7R63UduvUAQFeZ1hCVWjhSMJqpf4xvv8a+vjKhwDT9AaBp4+iv\nF80f1sy+A2OIlzj5xKGVn398YOc2mqYvnDKFeb2wozqDsxal4DZKjCsFjh/aZ3lpY+dRUlS4d9vm\nc6eOfbRidZdefblV1q/8pveg4dbXpk2WXz907GDS5vVrPp7zOHswsvIWM6YCALfPS6G1Pl2vQ1Up\nuyWgDVhnzLkzYvwkbkWKdhhRt0aYrrFrpHeMv1FPsH2un0wUZAqR3iZE8Vo/O441Vj2gr0zI6pVp\nHUPYYGh1WYTEXsJHanbm4Bw1l/vH+Hrb0yJWRvrJ7L8tuDbpA47+Y2+dE2UQ6SOxPWq1QySgmgdZ\nZOOzKXoeIjgI9ypWsoOmoWN+oaRK28pxrdssnD1jztQJ3J2M755rnMqsuBXWEyOsM6gBACj4mjzC\nJJx36LqMcDQYGVdQXQ4AyUeQdQ0AVGVAAy1BrQFTYNbLJ46u+OR/m39bu/bbZdBrDWe3GStwZxN+\nX4Bz2wWlOaJzWyd3j9v9Qj9D6kn2oFRIiUQWvo5ysaBtqIKiIKCox0WXFs2d8ceq7z94dfbvP61g\nXC6sL5F9vZnQPNqRet1CkP2268jYseYFrkeSdjVp3nLBB59y6+zZtvlI0k4fP6tpMgNg6bFruuIz\nXcLeGBCLI7+gNAdX9/drEdGuS48uvfvCCtZC2qDQlm/asfezn35b8v3ad196HhVmg+vy4sucO65l\noLc54BUFQCEWPNsl7K0BjTpHeAkpRPpI7eZot5olem9gY1ZwBMrF/jKR6SouG2jszoMU4g5hxl8D\nEWU0u5Gf9PsHmo2I82cu8VrfaLsXkokEYlNUkLhA+cBY82Jj7oiGTOxiHxrqLY7xk8HkB8NcsY1J\nbI2IC3iwVZCvTAhgbMuA7lF2VmDF+MtaBpl/XkKU5lktbr4ePg1wEMFBqDUNnHz1ri6XlZW14Lkn\njJ2iRA6gfdcezKJEAOGRjW5cuWR7VmGew0BJzrlRqDLGEpBbT6MCgFBk1hZimdlTVXgvCA4LZUGj\nNBdpp7v27s+vRSusWytNo7oCx01zWwZTDIbEL5B1Hft+MPz07N6fPzVXNhHsLQMgEgqYTkgspMa2\nCPhsRJNlI5q+PSD62P7dbM1LZ0+1atdx6jOzjdvXDiDzCm4eQ9L3E/txYsVaek4olF6DBlm4bkwZ\n3GP1N5/ZfpSykuKhYx8cPHr8RytWm9tRcWK66HXdpfmR3pJRcQEt49uueHveEEnG7G6hby58SyQS\nPTHLRvJmXsaFHdBUIfXUW+1FPn7+7bv2MC7K3biQrVWXfqiRr1QksJhKmBwf2DZU8Vj70GHN/NuE\nKJ7oEPruoJh5PexPAkqE1JejmjAGPNw22GpVrdm5gaIA3O3CXYYJrQI7hnt1jfLuY/LEHBjr90K3\n8FAv8VMdw5r4y57pEj6smf+MTmESm1hjDAv7NWKW/3hLhKPiAtqHmV9juCfMdvAZa6RVkOLpzmEi\nAdU9yvjpxELqk+FNmMLTnUNndQ/vHOEd7i0ZHOvnZS+SaZsQxfhWQUw5ykeybKTZUZT75brmHewm\neBH4i0Cw4m7Fzaeffnr29En0BGAcSJDLFRnlOgybi4K07DP/2D3LYNOJHt2/58Kp483j2w4cPoZy\n7N59Oa8qt0ILACIJWvTF9UMWh7lTJwKhls0GXBen0YYiKCT0oQVvD33gwdspNz/ac4NW5z3z3LQB\nw0Z/veP4lgJ+jHMA5swmxZk4l2Cxf81sTFmClGP2bDXuCdAWPdWnJ4CBsb7VOv2X/2b5itGm/FJJ\ngbBtaEhxYcEf+WYlWlSQD+Dx5+eFRkQue+8N3PgXt89Dr23eomW/oSMP7d5xdN9uAKgs5F5pXK+2\n0Kji4uJomr558yazc/umDXY/zSMznt/y+y9bfvul18ChRw8dwF/vMOubWrfvdOX8mdGTHp77UD+h\nKdpsXKs2r7cyB3wTUDZdUXkBDv+K5KPL3n2jXZfuzD5jaKpic7YzrktH+3Cvu/qL+2Fc3MTfrwQr\nzc9zh3AvL6kwwOR6aZ4WcUB8iHJcy8B+Mb5tQ5TW+VNMhtWln2wdogjzlnhLzH/CYiHVLkyp0dOM\nr6WvVMhdrGuLWEg19pVKmviNaRHQztKBlGuZ3bGHWkJRtI9U+HJvsxlCAaJ9pV+NbsoojDf7RTtv\nwUcmDFaIgr0ks7pFBDlK9sunCH73wC8ggcDF7i/jhQsXzN28QATg2MEkjJqPlv1xIdFRU0zAR5ad\nW/785O1XmXJ2xp3/s3fecU2cfxz/XBKSAGGDbAFBQFQUUZwoCq6q1Vr1Zx111U1rW0ftsHXWVWvr\nqLtaZ511VXEU90AFwY0DUEQQkL1Jcr8/LrlcQhIgBIh675cvX88999xzD5e7e773fb5D8VErp7S0\n5Erk6ScZRZFEY0CutwidrCpw2HsqyhwuACsb2+w3mYal3NSAm2fjgSMGAmgW0Lofz83KmNfVywrA\nhF5tbe9nbompJA5VXVCUiwf/ycq5rxG1X2nvm2SsG6FeHyN/82YlPtwyb+/3y1bxuDwzPk/AkWbG\nXPgxYiWAL+cs/G3BD8yDnjy89/zpk/kzpj5PkEf9KisCYGZhkZWRPmf5mvOnjhcWFJw6euDJlV3o\nOJx5ridPnjRtWokn1Ojw6Qtmhic+kZmGDBkzMeV5opWN6eB555w1RGCLvnb50K6t2W8y2gZ3HTJq\nfKfQnpcZ1kgt27QfPOozB2eX5MTEdcsX3I2+ITQ27dCt+8UzJ5WEsJqprFZ94OVsruSZQmWkqzrh\nbZ3U1jMcTGo0UwY6iqxNlCa4RlbCRtVxe9Hk2KK0YKHb4AAAlkKj5g5KogyHILZ+5K2pfUWCnM32\nDGkilpIqhqtKXiqG9NphBQ6WaqCSzN1wTsfn8xkCh/ybz9QaAITqP0F8m7d0dW904dTxuFtRHUN7\nBrbrdGzfTnrvg9gYlfbi8vKfpk24dfUS2nyMYMYsIjAFwVF6fff7VlHmcAG0DGr/8Ygx4WeUTRoN\nEls7RcrZoc0VwYgEXI6VsWG8Lgqz8UJrOg9NU2nWSxRmw9QKpPTimZMh/50uKixIyStxePzqecQG\nqomKtEExbmCPipXR1y5P+aT/9uPnu/cbCOD6hf+QzkhLJhducnMrsRMqKiigpQ0Ama/T5v0mG8zr\nVylbfl9WWFjg07T5yIlfUCq3tJTkbybKzEgf37975O/tfv6tPH39nj2SeQXH3rzW2K/Z/vBNzLPc\niY7q978R92JuJYKkZsk70VHo3JDZhn7WqqLtUJE29AjDa6NGM2WIh7awFjWB0LhRPXxsjed0aVh5\nu8qo6Caj7KVS8zPoDdaGg8Xg0CUGV9OmigcrsD9sGgJyG0ORjdokJq7ujeZ8MX7BzM+P7t35zYSR\nK36azQyq8TT+wb/79zx9dJ+ueXQv7tbVS/AIRGsly1MQhFIIUSOhkmcKhwfg3Mlj1jZ2Di6VKEjr\nHnOx6nTYqLGWdGgG8uqSyRNujRqr7LC2tdV0jLGxCa7tQVIMAEjEAP7+c/0vP32zZ8VPz49t0HKy\nNp1CNO3Kz805+Q/tGk0y9AckJLJ1NG9v5YBg06YxN/1bBe3bpnR2CyuFDenapfMiTx6Nuhi5fd3v\np44epCrjbkUx2+fl5Fy/GElLGxT/HthTcbTH9u5MfPKIloTSU19VbENRlx8VFaGfYwO529TAtJAw\n0GHqRwejd1iBo57ZsWPHyJEjv/zyy9RUNZl4DJw6MCOt4ikmTpyoeLKMhLD3AuS2FE6+aDek4iFn\nIs9dM1MY/V08o5SJ7U3665ULvps0pO+aJbLI1ucijgGAc1M1hqLNGF/ATboq7ZI7VsTfv1NWqjFV\nZn3h9fCgSg1Hcz7bGgfC1g/GxiZ/n7229eh/m/9R9Wr2adpi6uyf1B4V/t1cADKZoCgHwOMHd6ty\nuoCgDlr2WtnYAYi+dvnW1UuKxXJxGUhy6tSpERER8+fPpxsvXbrU2VnJxnDw6PEqHQ6f8DldllmH\nAACePrwnlUqWfv81veqnhaJCzU+NfJBuHp4a29QrChsOQsnKpJ6GowZlD9t6HIhGKGcrqmxQRqOs\nwFGfnDlzJjw8PCIiYteuXTNmzKjv4bwFaJI/vLy8QodPUmwLTNDuf7CWW2OZysMt8ASycOPmDfC/\nJfBqR+eL51JpSj76ERZKC7eHd2/bvu63uFtRR/Zsh4M3GrVRc/rgUTJxR2SN0ElKuwL6ws4DQPT1\nK1nKIa7rH1IaE/mvSp2Wt1MTOxM8uYrsFPwzDxe21O7YNFNcWMDnC1zdGxEEMWLi58xdXT/4cMAn\no75dvPKDgf8bOlbphwj9YED7kDCQJJJicO9Mk+YtVbr1aaYmSn3P/oP6DBpKRzf/dNK0Vu060nsb\nN2natVdfAAe2bwYY1nnlJQAmTpwYGBjo4+Pz5MmTpRt2xMTEjB07tlOnTvThrTsEB7ZXcmqdMW/p\noC6BYf4eK+d/J5VKuvTsQ+9q3iroSuTpM8f+qdI10oL8B/ZrEVDTrmoHRkQsw5IzaDiGYjutDQ95\niBRDkjdYG456JSpKoR09ffq0WCzm1Vp2rrcCnVUmeXl5UVKGzTnfBC7Nae2CLDKHmS06fQoHb9w+\nBktHWDoCgH9PKpi0c0N3X/+AGx6B+OgnHFnItOffvu5330vnAaX0KEpwuLByRHkJxm5U83xbOiAj\n8fj+3RgbottfV1scmocK+XI1ZtoGnERcnNsIey8kRiPzOfy6wsYNt48h8zl6TtN0VA1pZssvKCOT\n8hgRrkhSIJStYY2e+nVg++Doa5d4PKM2Hbv4NPMHENpnQGifAQA8ff3OHj8sNDYeOfELnpHRR8NG\nX1uyCsU5yHr5kM4BK8fc0rJb7w8FAoGpufmDuNvlZWVtOnYZOnaSiUi0+I+tr1NTzC2tTUxNy0pL\nb127lJ+b7ebp7ePXnLKrkGeZl89Dd8+4ubk5OsriaVpaWo4d2IsqN27c+MSJE7+u3ZiT/aZ9SBhJ\nkjsjLv2zc2tZWWm/ISMmDOpNNfv3wB6+QGhlbdumYxcuj+ft16ykpDg1+QVqDJdDSEgAkJRqCGBa\n3xj+koqqhsMgxY/1/Rp3/+suDOwyvtfTW73TsqXiMys0NNSQpY2KooDhhOVITEwMCAjAeEZEZ1s3\nmDGCIgvNIDSDb2c0CQGAbhMVu7pNxJ0IkOTDO7chMEHrL2HtAisnpsAB4NG9OECeslUto9YCGkJ7\nUeKOXSOYqAvaUY9kJlV8WZ449PecrrN4PF7FC87l8rp3DTlz7BAA5Gfi79lo+QFuHgKXV3sCR0d3\n63vpRUyBw9LKWiBUOEQ0b9WmeSt1aiega69+XXvJom89fXT/34N7kKAmezvFzcsXVGrC+g4wEYkA\nEByOg7PM/oYvEHQICVNpOe6LmVtWLVdczGt7nkvKX7x40bChGpNAT0/Ps/8eBnDr6qXVP/80dOyk\nybPmABCLlYS/f3ZtpQoffDx0+7rfVTrxaxHQtGXr/X9tQjUhpVIQXABLZ03tt3OVj4/MZMdwdAkK\ngUPdVEmNs45fPiq4WQp5HEIspfL4GCgEAYIASRqWlwq7pFKf9O3bd+HChd27d//oo48WL16sr25L\nSko2b968cOHCuDjNqcV0pSqPum7JV3Xubdu2bQCULEN9gpUyjzj5YsjPSpYWNASHOtA/sC1c/WWV\nTMcWvolMU9KqH5p11zgIDldjIFEjIQD4Bqu1Xa1PqCUAOlQ2ACDpSfz9+/fVtwemz1s6btpMmbVm\neQluHlL0UzuYCXgqL8ycrAyZ0FNl0l69nDSk74VTqutHFHb2DmrrY29cowraY0+1cBRlJT8FlEJ8\nAti8ebPa9ufOKQVB//vP9fdjowHweDxaPGJy8bTCuoiOefog7raKtPHNohVtg7sGdQoJ/aA/VVMh\nhinA1GCVFf/5558VG9Q7nCp4qdSveORizp8TIhMlDSr5uwrU2AxqfKzAUVXKysokmrXNOjN48ODg\n4ODOnTs7OKh/6+nAtGnTvv32299//z0sLOzePTURNmsIUwJgigKVChl6/y6hOrx37x6g7CpSEVs3\nWKn3+6c0EFIpiQ+my2pEcu1I4/YYNB/dJsLJF26toNmgUhuUwGFcW0562kh/hofnNbqJlhUDwF8q\n4UZILZ9EPB7vk3FTthw+ffZOYjf5xAapFA/OaTqkEqQSZD7XeDpxcWnqU6GkRKmWJK9Enq7WSe4o\ne3YwGTXly4zX6t2VnTSEwVChpKTkn3/+oQbGrC8vr5DoBABgZaUqB7yRxxmbMX/p5FlzBn36WYeu\nCtG2IF8RdTQzXf1Qg8N6Tx8/8vihfT//sfXbJb/9ffba+n3Hp89doqYpdTM8u4E3Lyr99mVKWrpF\n/NSBAEcRFfZK5zQldYB2NYyBQEU04RiIsTcAVuCoIrNmzXJ2dnZwcFi3bp0eu83MzPTx8fnxxx+/\n+uqrsWPHkvr4UiwvLz90SPH9FxGhMexVbVCpNkLL0ozO4ohYLAaXq6M0ANk6yL2HD8CTZ7bs9Cka\ntgCAVv3h4I1m3TF0KTwCdeyf6pZfvbBI+iH53oxgV1zarmZXSQHEpe06d/Vv2kSpniQpT07ts0tW\nZka3Dz5sIjM8JBGxUmm6zUtnphDTRl46dk9HrHrdg/ji9tXhQ85+3RvPGBIDKW3SqGG15j8nV3WW\nNwCAsjL1rkM9Pvz408lK60SaTicQVEiUSpIARo8erbZ9SEjIJ598wqwZ3jeU+nMEQuOPR4ydNOP7\naT8saBnUXtOYK7J760am9GDbwMHLt2nHbj2OXL1DBxuVIS4DgIfnUVr42WefaepQ0+WtA5mju6dl\nx4bmAEz4hjs9yZQHBjSVq4G6JQxqjIb7ixoO58+f37pVtp76448/pqSk6KtnpnL17NmzL17owSjM\nyEgpwK2Li7bwvbWKigChVp7Qi87D3Ny8RlHDG3cAFP6rMkyt0DRU4edSk8eWWmqRCxyCOvtuS7yF\nqH2/fPcVFRlTlR1fACBJZL3JZMoK/gGBQmEl0RgjTx4d0i3oh/BxD+NuB7SlvTYYAseVnbJMs9op\nysHu6RCX4frf6hvIBkZCqlDSiERm06dPV99eA80CWo/9QuYF9sPyNcxdD2KjV25TjTjerku3WQt/\nMRVVKWo1QRDbt28HFAHHFq7eFB8f7+XltXHjxvHjx69du5Yp1nA4nFWrVt28efOHH3747rvvYmNj\nra1lXlT0dG5jZz/2cyW3NY/GPvNXbdQ0hnQNWYFMRWbGJsqGR5EbIC7t1K37sWv3vLy8qvIH1plu\ng4aayM0EqmuUhmNowiFIADydP3LqBOoyGpRUZLhWioZDbKxSovNz586NGDFCLz3bKscpsrS01NSy\nWhw6dGjgwIEAhg0bNmjQoErb1xCdhYaa6zYorK2twa3BnRz8KWKOquaObz8MQlNNUUqrB5WTRd7/\nH309xx1+oq29vshJpfK+unt6JVXcW5wHoGvvDwsL8lYXkwqJSlxasa0KP3+j+PRX2ASQpEIqK8pF\nyn1YOUOkPv87AA4plj65hpICAA09vNSLJ4rFIIU0IxAKbWxs1DbXwrDPpg77bCpVvnj634tnTlLl\nuFtROzes+n37gTcZ6fOnT6Equ/ToSx9YlUmud+/e6enpB24lfHM2OR8CV3cPa2vr1atXU0E4Dh8+\nnJOT8/333zMPcXd3VwkCxiQ5KWHnxtXMmoHDx3QI6T5/1aarkacdXFydXNx+ni07PDg4mP6uqJgV\npdeAQVEXI6nyH3/8Ef/qzaZS/of9h5mINKTeqAWY11DTw860BiX9Js3GAAAgAElEQVQIItjdYmRL\nR02dGAAEAJGGnPUGAiH734AkDlbgqJywsLBFixbRm5UmR6g6ISEh48aN27JlC4ClS5daWOhnmT84\nODgjI4MktS3G1zs1ETLySyWrr7/6rovMccDX17dmmd8JCEWwVw5baak3kxqZ9kUucNRRHJ7sV5Bn\nY/9qaJ9tV5/c5rrTO015RPi8xV6+TT0a+wBYszWOns/vXL8EfFP184jMzT19/J7FP1CoSR6cQ2o8\nnt9279Q3SdXrVoFJUWbBf7IFSldnJ1snUcyrCrcEnTSVoYMpLykuKyvj85U0UtVyXpgxfxktcACI\nvnY5+trlTQcj1u09dj82pknzlpR7LSpMchWn84L8vCV/rXn58mW/fv3+2rAlPyEd//t5VN9u0dHR\n169fp5tV15Rq829Lb1Ce2HJWzJ1tbGIa0qsv7SNjaW1zfP8uNwfbadOmcTQnGgwO633r1q0HDx60\nbNnS0dExLrVg254HINDCUaTbGi7zIlQrGnrFwzVBkKSQx607XWD1oR5iEd+gJ1ACBEAaaUiHWy8Y\n7i9qOOzdu5e5qcPXlSYIgvj111+TkpJSUlLGjh2rr27pzvXbob6ouQ/L4zfF55JyKLc0UPpkbs0+\n14zNFRaj+oYnEAKgdTBF+VUzbqghz6LwPBaAg7Orm7NjzxBFgCkjLjE/zKN7v4Ee8ijmSjdKecnV\nq1e19x0+ey5dvhJ5+lk8FVdbPnsl3qIWcZIYKUJUcLUQTPJWnHbAkKFzu1Yws8hIREYCgOCw3swo\nVXk52SNGjGAuUlT329fEVNQptKdKZfS1S42bNBvwyae0tFEV/lw6Z8WKFXv37h0xYkTUpXMACYkE\nQGRkpIeHIl24vb36NGCaUGsVu3CWUpSzVu06/rjij19//dXNTaOFCoWbm1vv3r0dHR3T09PPHDsk\nkYgN6quXCfVTEgRBVBbdon4VHhyCEHA5i3pVI9Fa3UPNAJZCA5KKWIGjEh4+fLh+/XpmzcmTJzU1\n1g1TU1OVzzUW7ZSKpSSJ/FKZMn/lypU103AA3cNr2oNmxNSig9zKZOon/XHnVK1GC7IQcpH6iCqn\npSR/NeZ/5eWy6ZkgCFdzQQtGjsqC/DypVL4sEn8JaU+Sk5O19z9g2KhPPpuiWnvhzwrLMer/Rh4B\nPzuTQP9mnUJ7ePs1HzJmQss27dWY0kcfRk7aN4t+/WH5qgYODO06KT137hxTf6AD0+cu+Z9yKFJn\nNw+VNpVOaSRJHj16VLlKSsVNd3Fx+eabb4YOHQpgyJAhc+bMqdbwPho+Wm19mL/HrasXqz5CJomJ\niU2bNl36/fSCvLyIQ7urNR4VqnVeHSQDgqjG91Ldm5gAAAkuF03s9bHkWmtYCLmmRlx7MwOaXFiB\noxLy8vJUamw1J4hiUaE24vPklkp23UkHEJ8pC5XYs2fPGhmNAnDUkrGsxghEAKGwMiGlOLu2VmNX\ndHUxxpNr9Gbik/iylMcBjiIAjiL++g+VTAXTU18pBpN8D2VFnTt3ZjZQ+0JXyRYGALH/yuKWlhbK\nasTlkKrxJLcXSGZ2clm7ZO7l/04/fnB339aNp48evBZ5RrVdcb6FpXX3fh9xuTylFFkSMQBjYzVe\nP1WfeDr5uqxZuuDw4cPU5tCxk9p17lbdrlQmxY+Gj0bmC1zcOmTU+NDQUDMzs9WrV2dkZKxdu7a6\natE1yxYtXrzY3d294q7Zk0ZpP5Y5cuZvd+DAAVltacF/O9dJpTVKT19FdBMF+ByOk07TZJ0JH/Yi\nox6easKcGBS7BvkeGtbUw6o+/OM0wAoclRAQENC1qyId18CBA/v376+lPUttk5BdTIkay67IolPP\nmDFDd5/YOsAnGG4tFAIHFf2CKXCom5VrgquteesOSkk6vBuI/tfcztvGeFp7JxUjElf3Rsw0p79u\n3UvH5K42JAlxGXJfyzZP/SZzZ83PxJNryJa5dzVqYAng8n+K1GsXTv27aOYUPGLE+kyKweunuTlZ\n1FZONiMNjbh06NChrVu3htb5rCoxJDp27Hj2TuLZO4mffflNFT+pVabzCxcu9OzZE8DkyZOnzJxz\n9tb9c4d2TZ39k84LmlT/fD5/9OjRSUlJatuoxCStIiYm8rhz26YiJ1WL2UdtU/G3UKkZF2g/rEX1\nFqFUfhedx1ZFXC0E4W01xPUxJAzKgAOswFEpYrGY9rP/888/N2zYUKsByAsLC7/88ks7O7tJkyZp\ncnWrF8ok5NFHb3Q+vLqqjuTc0rQC9QES8ktlX2Z5JeJyCRmXWhD9LLVJC9VcXAbF8FmLBMbyVYxy\nZYHj7DokResxxtEH3la9vKwWrNpMB4/6aPjoJs1bBjqKfu3dKNBJ9V1sxOfTd/inEz8f2Vfxoa/l\nJf7xyHFUoWVQ+4VrtgSH9QQAUoq9s2nBAmXFMjeTOxE4thhxJ3gEGeQs+qZzQwBdenxA95aflwtS\nihMrZJelrBiR61GUM2DYKAAZaakx1y7TjYO7hKxevZqe0SsNF8EUOzRcM22Ha8fPz2/nzp0ZGRnz\n588n9DqF5+aqt/VxcXGhXkGVDlKlwYgRI2TfTqR0/m8b9DNKDeeqIQIeh1eFcFUqcmQ9WnVQIzEw\nPxpDxIDMSQyTbdu20bGzxo4dm5GRUaunW7ly5a5duwAcPHiQy+WuXbu2Vk+nlrjUAjUq9OzitVGv\n+vpYV9fJQrdVlb9iXydll4xoYR/ioeq5UyZWqIKLxNKHVy78ED4ONg1hoMkvAWDXvoNoEgI+kJMm\nz5cmEzhM+ZwZnZ03vcp9Bf2sB5/YuurEpP3zV22a//vGooICiVRiZm4BgCA0hm7kcDiQSAHYO6tG\nbdH0Dg1s3+nY9fvpqSku7h5cLi/y3yMAcGQR0p8ptUt7isQYPL0GADHHm9oKAxsO5MEV4Hz+3XyR\nucWbjNeB7YIjjuyXtc9Ng1SCfd+hKGf2zyuoYKaPH9xlKoSE0KYQUnGCqK6QUS1viyq21A0bG5uw\nsLCzZ89SmyEhIefPn/f399+0aVMjnU5tYWGxZ8+ehISEdNLUxbUhtF7GqsDOryzVhRU4KkElCEd5\neblKZC398vjxY7qclZVVeyfSTkWZI7dYIiGRVlDmZFYhrqK+OfU0+05aYVax+HZqQUWBo1yiEDiK\nyyX/7NoGGFh0m4oEDpAV/pkrK8hn0MLM1HlfT8bgRXBtrp9z5WUA+PGL8ceu36dyj1WKjTHvZXkZ\n5LGQq4ixiYmbp8yXuIl/QOTJo3j1ULXRLWbSEzLu9P640/vXASG9+s6Yv2zcFzOpfB83r16QGYX8\nqcirF9Z3IFVw9/JBWYys9sWdNVOGaR9YtT79KQGlWloQTW0kEvHZ44dfp7zs2K2HX9egSvuplPXr\n12/dujU7O3vIkCHV8sbXNEIulxsTE7Pn0FE//4Afp4dXGuGtWuhL/qiK3yzLWwq7pFIJRUVKURpr\nW8MRHKxYem/cuLGWlnVMuVQKYNappDo419lnOVnFYgB5paofYbklkjPPchSjkpC1Kv/pH5VIViUF\nyE0DNOY/M+ISalZhI37T2H/UXtoSYt7Xk6oYaGFBqDsV80C71KZlRun/ycgx4dNtbBtU5XQAzkcc\n7xvkN7Bzq1kTRmS8TusU2kulwaI1W+iyc0O3T1p7yHQnUvHGdfWg9qsKu39buHzOzO3rf584pM+N\nGxrT0lYKfZ0tLCy+/PLLefPm6Sv2z65du8LDw69Ent7021LKg0ZnaiheqFjYqG3T0smgfUBoWE1P\n1WE1HJVQXFxMl62trXW3p6sa48aNIwji6tWr/v7+kydPrtVzVYtyCQkgraBMLCWrsryqM3deF6bm\ny6w34t8U3U4tCGA8zw8ziu68LqQ3JSRys7MAg9dwyLFtYJ+ZkwYAxfkw5eH0KmS/AqDWg9TZnP95\nO+ecYvGSS0w/VdJZnJEiKVcfeiQnjZZdbl299Cr5uXMVMpC5Wgi4HKAGQQk5HO7wCeGOrg2ZQUir\nQsz1K7s3rZ32wwIHJ5cHcTFunl4tgzrmvMmwc1B60F7cigS/KRp4giRXrFgxYsQI3WL2q/161teE\n8ddff9HlY8eOBQXpQcmhX3bu3EmXr1y5IpVK69F0lKKWZuuK0clYrYkhUEcCx4EDB6KiogAUFBQE\nBQWNGTOmbs5bc16+fEmXW7RoUdvRtDgczmeffaYlqZJeoJ69aj3qZfKFjMJyqYWAC6CWJI+/br+m\nzUXTC8rPPsthChy5pUr2+RIJWVCQBwBmb4evcqPGvm2a+pz8Zx82jcPkHQqFx40D4JvAoTEA5GcA\nBMxsyVfx3JdvjOyUv24Lc1Ie30XyWEzeIauRSnAnAm4tkXQbSTHMtsbGJqgaBKmHZFTden/4Jv31\niYN/Jycl0JU+Tf3j798BYG5plZeTXfGovJwsAE6uDfdsWbdt7a90/eJ129p07CJvk4MGJCBTBSUn\nJ9djkqCqYGZmiF/nKrGMxWJx/UYAMkDdgF6kE1bE0UQdibeDBg1avnz58uXLmzVr1rt377o5ac15\n+fJlQoLi1dm9e3ctjd8WdHsMyuVhPYvLZcscY/55vPhicnaxLh56mriRkp+cp+Scks9YVRFLyaQc\npdBSYpIMDusNAO2U0m8aLDcunbOysVu14yBAAqQipeqLOCpgFB5fwc6vcXo1zv7xat+SmZ8Nf5Wc\npNTFji8AMPOxtXl9bqg7gV3TcW4TChUz+qeTv7S2q2SNg9Zsy/M8VdU1VNNUMXjU+G9+VggNNnYN\nKGkDgFppA0BYv4EAdqxfdTvqCrP+0M6tdHnA0JGKRG5U9hzDg47qAWD58uWa3EzqEWaKhkGDBr0P\n8Qbr13Wlvk5tsNTpksqLFy+MjY0dHBwApKenUyE7/f39qXTY+oV6daqNDlR1VEIuWltb17BDFbhc\nLkEQXG6dZgASCMqpgqa/hWpA7yUI4uGbMhCyW4XgGlFelNnF4v8Scj5s2sDB0lRtPzqwPTYhq6ic\nWVMiUaT/vpmUs/+ekg0Nh2s0ecb36amvIi3t6yKMkT5IT0sJCGq/fNPO3w5GpmQkKnaQJEgSKQ9Q\nnIvnt+nq/T+Nh3sHdJG5oaKUEjUUkTNK0hIa9QhVSQn75Q8LaM9VLVC/skBQTumqeDyu9ju8XSPF\nXvpGUqFFYNCKLbtPHz1UXlYaefKY9gF07t67c2hPDpdbXFSosuvmlQv0Ty+RiOV/MgkgLi6uZUsd\nHaGZf4J+sbOzY27GxMR88MEHmhrXC82aNXv27NmmvUecXBqOHahqN2M4CATlHA6Hz+fXZMVH5T3W\nrpHx7RTVKI5MApzNVY6t2lkEzEdG5aRV76eWIAiCz+fXhmJet0Q8dSpwHDhwYPz48VS5rKyMyvPu\n7u5eezNuDXuWSJSMFmNjY0eNqiTMX7XgcDiJiYlr1qwRi8UTJkxo0qQJc69+V1hjY2OvX78eFBTE\ntZcFmlR7cW6n5FH1zL0cDkehbSc4XC5XKiVLJVIAhWWkvn6+l7klb4pUn88HGQU7416PauX0Mrdk\nV1yayl6Sg00rl549/g++qMRzwVAgyc5hvblcbseu3W9HXd0tZqhzHkQiai+YIggAIO9NBixTmV0A\ngESMC38ieBT2f3835cHdc8dtG9hnpr+mG/22cE6n0J5OrtqybNBvWErwBcCpjvhLtaQ6UXmVt+8S\n2r5L6KWzEZUKHBfPnDx99GCfQZ/06j+ImVCNeYqiwoKfv/0KPb4AZH+9h4dHHYvpVUFFVnN2djbA\nQRYUFBgbm7g18jTAsdFQNySHw6nJICu+x7T3VvWWTFS+GFVOaggXuZa+aQ1d4CgsLCwuLqaXNl1c\nXL777juqnJmZqfk4HSEIQigUFhTUbCmuRQvm5vr163v37t2hQ4eaDU1BeXm5r68v3Xl8fDylK46L\ni1uwYMGFCxf69u27evVqUdWcG5m8fv06MTGxWbNm1LFHjhyh7UK+XbwytM8AAFeeFFVU+tFeOQUF\nMllHIBCk5xRsiEoGwCGIgsLiIiFZUCah7rfcohIVRx6KErG0TCw1V84blFVUbm2i0ankh1NPMwpV\ng32VlEvjUnKeOhtvvpV2L03111x39fnd9b+D4ID3diiHZ8xb0qFbN+qKtQzqsHvzH4p9TzSnTFOo\nM6SKsKTRh+HQGOmyJT+mtEHxNP6hpY0dNEP/xEVFRdSChYAgq/7INLbgAKDaN7bgVFyq82vZOqBt\nR5WFkoo8jX9YVFQU1Lnbsk07l3z7VVamQomV9SazbaMGj19TjjyUDovs1atXmzZtavho652SkhJm\nuvnw8HBvb29DG+Tx48dp+7m9e/d269ZNe/v6oqioiMvllpSUlJaWVt5acyctHEXMn0DtmwrytQ9m\nS7X3c8XUuBYWFiUlJfRzBOWHQssZ6wwOh1NaWlpSUlIbneug7687E+Xo6Gh//2qkYTQEzMzMzp07\nx6xhxsmoOZGRkczN6OhoqrBkyZILFy4AOH78+IYN1Y4JePz48WbNmvXr18/Dw4MasCKNAnAuQuNH\npybzjtSCshKxNMzT0l5ktC02DcCMCNmH+Okn2YXlqs6r99ML55x9vjFaaQq8+7ro8xPPoJmMQvXq\nx6iXBWMOPb74XI069GFGceuOnWEkrMyj01BgRhxv1a7jrEUrKrbp2X+Qb7MWji6ujDr5elFJPu2E\nYmltg3+Xo1zjq8SnaTUeN0rDIRLo80vI2MRkwaqNc5avadWuk5ZmtGVoq7YdF6zaTNd3CAkTGpsA\n8PDwCAjqIBO7SOny5cv1OEh9ERcXd+nSJXozLCysHgejiT179tDl7du31+NI6oAqmlCwlhZ1Sd0J\nHDdv3tR52bUeadq0afv27enN58+f67Fz5vMPgM5nTYcXBPDq1avqdrtjxw66TMkryquM1Y72U1Qu\nBcDjEDwOcS05P6NI/DRL5i18O63gQbpMio9+VfAipxTAySc5t9MKVOxJXxeUvSkSn3qq3nIwMiGn\nqEy9GQZJkhIN2juxlOw7/DNFmhIDQyEERR+R1SjLRT36DTx67d5Pv/7BrAz/dt6a3Yf/Os6QdEnZ\nXIurshtm2PjwX7fu1XLq75f+bmZhWY2hEgjztPK01rN9g9DYpEvPPks3bJ8+d4nKLpG5eesOnRet\n2dIySPF8+TTzX7ZxZ68Bg4ePD58xfxk1GRgZGc1csNzDyweAp3cTQ1MbUKjkdDTMFI/MtAzvg8Wo\nCnQAclbIqC/qTuCYPn26q6tr5e0MDIIg2rVrR2+uWbNGj1kWy8sV3/Revn5eXjLriokTFfEW+/bt\nW91umSZClBnK9OnT6ZoRE7+gy3GpBcx/mjosLKN0GAQVg+p1vpKes6BMAmDhhRc//Je05HLyvHMv\nLj/PBfAqv5SOqCEhyYTsYrGUXBOlXn7aFJ1WKtHlwjYJbLfv3C0dDqxtWjqYkmflkoQ84Pedm6pJ\n1U1MTYPDeu+MuNSlZx9H14YtWrf7c/UvYf4ePVoycrom33NOOMvjcLs58QAMHD7m00lfNPTw3Hos\nslFjX7Vn92jsC63uJCrRNj/wtgpv52zK113DoeUlvvHXxSvmzqY3gzqF/LZ9/4Hz0UvW/9W2s6pW\nv1W7jjPmLxvz+XQqCClF91beTq6uAJ7dj23fvv3ff/+t8zhrCU9Pz2+//ZYqf/fddz4+tZl/WFfC\nw8PpMnMB6D2kuploauks7xsG+mloUOhgQlFFWrVqdfr0aao8YNhoun7gpBnmLl7JSQnD+vdm6leq\nyKBBg/777z+qTFnp+vj4nLr95E16urVdAx2Sz1FBOAgCXC4B4N/HSjHXc0skWcXiJ5nF5RLycWbx\nY3nW+OTc0q0xr7/r4gogNrVw371MAMXl0nIJSUXPjHiSfSEpd2pbp5e5pTklOrrXlohJoZH8L8pO\nwZ1T6DJWt670iIWA27WRZWyJXIaTG14kPXuKzsEV2xubmF449S+A1OQXcbdUhRKIS4uT7pg37fXd\n0t+/W/o7Xe3q5rHx4MmY65dnTRipcoSjiyszkmOlvtBjAhz0aFnGjEOQ9Ozx/r820bvm/bahY7ce\nzGYUlY6w8M45cNxQUgDg8OHDNQyUWRt8/fXXXQaNCXCxEAqFZWXqUw/WL23atElMTHz+/Hnr1q1L\nSkp0s/t7Z2ClgbqHFTgqZ+jQoQsWLKDKc+bM0aPnyMyZMxs2bBgTE+PiF9gpTOGlxuXyevYfBM2P\nhNr8ajSDBg1q06ZNfHx869atZVaoqQVcLq+BYzXyKTNPQa1oECB5BAGAGVwcwNobrzZHp5WI1egn\n6DhdTPuMIrHUgsvNKxH/cuUlgLH/PAYg1fXdV1Iu5XHlx4rLka9/A2QdcDIT9PG2PhMQeI/algf4\naurfUm1QoFcvkrR3mBV/u2PIQ0Dmx5TyIin+Xpx3U38XN49W7TrNWb7mxKG9D+/eLiooADDui5kC\nYW05f1aXwvx85ma1FnqYOJW9jo25TIlutR1/T2cCG1rpMZt0YWFhZGSkhYVFcHCwvv5kkUjUtGlT\nU1PTWjIkfFdhpRO9wAocldOgQYPnz5/fvHnTyclJv/lNuFzu8OHDBw8erJeYdEwRwc3Nzc1Nm0sk\nk4y01MN7/iovK+s7eFjDRl4VG1BxzQkQHHW2mSQJtdIGFGsxikClAOZGJq3s7bnvvkwy0FnUoJBI\nSTooGSBVGyO8luBxQErEEkLNQ0RwAKCUjosvFziaNFNvyOnWqLL7qjjX8uUtYCCA6xcif/hcFmOD\nUhh06dmnS88+Uqkk8XG8uaWVSlzwOkZFs+LT1L91h+BbVy8BCGzfqUnzlirNqsjg0RNOHAqlysw1\nx3eVvLw8T09PqjxkyJB6SRzNwqJfWIGjSpiYmHTp0qUeB6CbRKJdEUJRVlr6SQ+Zo++hXVv3n7tp\nZaNq7yaRkqAMHqv5lVUmt/YsY5h93n1d9Cq/9O+7+kmDJyFJCS1wlJdpyoJWG4h3zULnUXBWk1iL\nK4+jJduW2/1oShBvIhJt2H9i37aNEok4OLRX9PXLJw6qmil06CoLdHvyH4W56ImDf5+POE55Hg0Z\nPWH01K/5AgEqTOcVU0vUGTwjo3m/bbh4JgJA5+69jPh8tWOouO6j0sbVvdG/Nx5kZbzu5Odee6uc\nhsOZM2fo8r59+3788Ud7e/t6HM97iF7y1rLJb5mw2WINiIr3pZY7VWVXpceeOPj3j9MmbPx1cUG+\nkn/p0/gHzM37sdEVz1UuFzg41dTrFpZL3hSXQzmnPIBfrqRUqx8tSEgo+i4thKSuQvudWoXUR7h5\nsGKoLgAWQiMAoR/0pzabNPcHwCHUpX6V4+nT5NvFK1u17bhgZviJg3937i7LAODgLEsacnj3X0WF\nhVD2NUh/nUr7Oe/btnHl/G9r/pfpHYHQuHu/j7r3+6iGCz0CobFvsxYqCUHeVegoqxTvlVOJoa1f\n6CU1rqH9UfUCK3AYKM+fPTlz7NCLhKfa/UfUwjyEKkeeOPLrvG+vnjuzb9vGNYt/2v/XpjB/jzB/\nj392bXuVrOToy1d+zVGI5Usq1dVwvC4oX3M99c7rwj9vK8XkuJOmGsdaZ8QSKWX7RhAECjKReAvn\nFSaKuH1cXydSJTMJABJuyXKgMLA1Meribg6gja8HFfrs00lfABAaKS6f2rdPyoukX+fJJIaLZ05u\nPHBix4kLaSmy9IE3r1w4dXg/gP+NnUQf4uGllBbgzLF/pFLVsChMtL/1apgQnI18oEd69OhBR0af\nOXOmlZWV9vbvGAaSm16toKDzDcze+eySimFBCQqX/zs19yvZpDJ35fpOoT2rdbia+ltRdPns8cNn\nj8uyTK1dOm/mgmXMlu6e3pee56bllw1upghSSUUVJQCi+gsWWSXi59mltbfQISFlUbE8LAX92jr+\nfoZEjkK4Edw7WRpQbb/iyjm/mfZ0tbaxzVLe2dBS0NXDEoCzOf/r9k5zz72gJLXP2zpr6ZIkyTuM\nnwlAUWGhm6eSbUdxcSEAb7/mx6Pup7x47uTq9uThvcgTR5ltApzVKwDq92XH5s+sLnw+f9u2bU+e\nPBGJRE5O1TD3ZjFk3vMHgdVw1D/Hjx//6cuJqxb9mJkuyxVy+ogiMCizrDOePk007bJ3cqXdFD8a\nPrqBo9OtlIK76UoReaXQcUkFQHpB2a1X+ZW305VDD978G58JgCDQb8jwXRGX2ofIQzuIS0szkrFn\nlv7PmhhNGYt06Nrdu0kTlavCU9omAHAJEkBrZ/UfbS0cRX62gvnTpzKDVQDw9PHjcnkfj1B4+XaT\nr9EIjU08fZoYm5j4Bwat2LLHXa7n+PVPwwpQQb1emWakWuQeVu2sAkEQ3t7erLRhyOimiXlv73NW\nw1EJR48ePXDggIWFBeXCqvf+r1+/Tmc3eJHw9Jctu5MTn71OVUTH4hlpTD5SFZtQir6Dh+39c8Pr\nVDWWE+uXL0hJfg6gcZPm3fsNjHqZf/NVfgPljCcK/UT1XfMyCss1xSzXC1Ev5SYpBABsWPHztacZ\n+KgDALy8D8CkLEfP+QyOL0W27EpePXdmx08rSJKjGAZgZax4rCjZgyNLjabxRfPff/9dOqtIXdZv\nyPAhoycYm5gAmDxrTrsu3TLTX7fp2MXS2qbisS3atNt86BQplRL6c9jWmZq/SVkjOxaWdxVW4NDG\nzZs3x42T+R8+e/bswIEDJiYm+j3F1auKlF2xN6+F+XuoNBg2fmqlnah9Qd+NuVlUkN+ybQeBQMjh\ncI2Ujc4+Hjnufmz0o7uxTx/JjEafPLw7ZeiHAzZdSS8ot2QkXYtOzgFJACCqbcJRp2S8ejVz/Lzb\nUVfg3goAQOLQXADm5ub6FTi8LY2YCXUsBBwjRsQsbxvj/k0UYgFBgCAIeRAFNdePmqFVgiIM+2wq\n07U1oG3HSkdFSRsG+OWk25AM8A9hYWGpIfX/SWTI3Lx5k1l2c3Nj5mfSC3S2WLW0Dwnz8lXjdVkp\nv86d/dXoId+Hj/th6rjCgnwAQZ1CmA0O7tjy6G5sxQNzijC1lFoAACAASURBVMoBlImlzPAYJEgA\nHA1xOAyEvJwspcSk8uHTRpeq3D6OM2uQkaRUWVaEvHQtZ/mxs9Mvv69p1U4mAQwZPcHE1JQpiTW3\nN/W2UfhiEJQ3MUGVVS1Z6Gk1NDSUruz2Qf+6D6RhUBO8lsEEuuoYN4yFRe+wd2N1YTUc2qiY3vaP\nP/4IDlYTmlpnWrVqpWWvWhU6TVZG+t8Xjjs7O5t7BTDrc7OzThyShWq4fePqtfP/hfUdIDIzV7Tg\ncKHBlyEuNgZWXkk5pX/dTqcWAiwsLGqypFL3GPOIYnGpYh1IXIr4S/AJBoD0hMaO1k8KODAS4MkV\nvLwPtwDYuSsOTriJ5LvoHl6xW9n+Kyc7jxyxaM2f92JvWVhaN/L2BdDWRfQyrzQxu+QDb6vh/koZ\n4QmAI5dHtFw8MzOz41H3oy6dNxWJAuW5Vd9z+zIV2KUWlneJ9/N+ZgUObXTq1GnZsmUrV65MTU2l\navSefWDy5Mmadtk7OX88XCktSFZmhoWVFZfLA5Dy4vmoviFU/aBPP5s043u6GVc5uPKxfTvPnTya\nmpIs27Z1w5DFuLgV8ZcqJjfPzsmBFQA8z1VkaCMVRqPV/PPqEvlP06NN064feP544oHMqkIqwclf\nZQLHiRW5ArGVT1h21FEU5wKKGKAAkJ2Cu6dhoTm80vPY+PTzGDnCiM8PCOpAV/dqbJ2SX96hoVlf\nbxtzodLFJwgSQMrzBADZbzLhrjGGRNtGDYTGH6CCnKHyYqK//tVWsrCwsBgs7JJKJYwZM2bTJkVc\nh169emlpXF1ycnIiIyMBwLsjggap7H39KuWzj3teiTwNIPtN5jcTRw7pFtQzoPG927cARJ44Qrc8\nsH0zM/qCyMzc3ELhtX8/Njrq0rkXCU8BgMPFsBUQitDjczgqhXAAANfmsHWnisXlsg5LxdLTT7MB\nKEwRDBQSgKnIbNKM75s5We0Y1W7Rmi3jv5q9ds8RaxsbgMSFP5HzKj01Nfv8jtYB/t37fjRg2Cil\nDnLSkHwXKQ8Qr2Hh7PRqcZn6DBTjWtmPCXCwM1W18CUIgpRKls+ZCWDsgLD79+/Tu7RLCXWTzZKF\nhaXeeX/8s1gNR+W0bdv21q1b165d8/Pzq7jIUhMSEhJkpYb+EKlfPdm7dQMplcZEXYm+dpmq2bP5\nj0Vr/zQxNWU2e5H4zN1TJkCQJJmXm63+lMbm4MmtR4UVHLp8O8NMFte8WJ4eJTmnmMoyT8g0HYYK\nCQBdevYxMuIDMDXitu3cjcp+3tDdM+vv2Xj1kG576+qls3cSAbz+bcO1tMdw8AbkOpLsV3h2Q6YR\nkUrwPJZw8CKNLVBSgMKs6sbKJACJWCzrmZTu3Llz8eLFWtrrIIW8J68qFpZ3kvfq+WU1HJWQnp4+\ne/bsH374gc/n60XaYGrCN2/eLCvxBGqmfwDAg7iYuV9PPrp3J10Tdencz99MW7d8obmlQo3x2Uc9\nszJk1o4aFREEB8NXKjaFFW50E4UNVHG5TODIkyeOJ0DoEIejDiEBDBunZolq5OQvmNIGgPZdZEaa\nC76c2LGFPEgJHRadXmfJS8c/88jN43EnAutHQiqpbq5ggiA4HEImDZGq8apV0PTq0VL/Xr2tWFje\nJSomPKriUW/vU88KHJUQHh6+ZcuWiIiIiRMnypY/9IciKQaPD6GIlgDMzLVli2jVrlPkyaMA8nKU\n1Bh3YxQ+NYvXbaMKrh6efIFQVmtmC5G14oDQKXBQTlLKVawISOQmEUVi2dqKvRnfXMiFoWLv4LT3\nv+sOLmpipbRo3a5rr370ppWN7fivZCG2dm1ccyXylGxHsTyWhrgMUgmKcxGxEgDKS3D2D8rMls6g\nVkUIgMvlUhoO2wYNRowYUb2/ioWFxfB4e6f8+oUVOLQhFovPnTtHb+o9Q/SUKVNkJS4f1q7oOJLa\nyucYI0w1/Eavj4ZMnvnD0g076GxeKji6KubaNh277Iq43KVnn6LCAtnnNU+A4Stku8tLUFIAgoB5\nA8XxAf3gpAhISqdgLS6Tfe4T0CXSaJ1h6+BgY6fR3jP8u3ltOsry/S5cvaVhIy8Aj+7Gbl2zQrZO\n9CYZj87LWifcwJFFFpICvHrE7MSvZWCvAYOrNSp7EZ+QypZUMl+nbdu2rVqHvxs8ePBg8+bNTCdz\nFhaW6vJW6zYoWBsObfCU3T1UojPVHF9f35SUlBHjJp3jGQGAmdyj0tEXfiEgCJxZQzceNeUrO3sH\nAGJxecXc5S3btPf2a86s+Xn2F/djYxTblg4wlitOivPw8h78ujHWcQi4B4CvMFCgU7CWyK1HDdxo\nVHMeVgCwsLRavG5bUWEhbftSXlb2+6IfAfkCSmYSFZkUAEhSmHq/bNdMZg+29g7Tf9JmfqEWF3N+\n89tbouXqomfPnlW3hzqjltJlnTlzZtiwYVR5+fLlo0ePro2zsLC8jdQkD9zb6FXLajgqoV8/hSp+\nwIABeu9fJBJ9v2yViYU1AAjk872RMXgCeHeim837bQMlbQBoG9y1VbtOKv3E3rxWViZzZM3Pzfnr\nj5VK0oaREH0U06eNbQNIxADg0hRcHgB0nwL3QGaHdEJ5sXyyJEAaTqxRb1tjFZcQIbfym5lpaRt1\nMfLJg7sAkHADqY+Zee3NLCxLSoqLCxXPs7Obx1/Hz6mkUtMO/Tni7eUBkAAJcZmfn1/Ve3g3+Ptv\nhXB86tQpLS1ZVNixY8fIkSOnT5/++vXryluzsBg8rIajEn777TcnJ6eEhISgoKCxY8dWfkAFxGLx\nkydP7OzsbG1t1cqkx+OziizdACgUDJRmRWBMR+j69+AeOsXarauXYq5fVu3F2GLeD98tWrZCKpUs\nmBkec/2K0l5rF9goFlwK8nNlgb98u+Duabg0g3cnKKsvsrLeZGWkW9s1oCUPw4nD8aGvzcQ2Dssu\nvbxQmEtX5mSkAu5V70Qiletwnt2AUxOIy6it4RPCd21co9LY2NhYQJvCVJORE7/I5VlGSMWfjJ8y\nc+bMyg9Qx9urSjUzUyhOjDQnBmJRISIi4uuvv6bKmZmZf/31V/2Oh6XOUBvxr+ompRWPNRxYDUcl\nmJubL1y4cPfu3V9++SWXW22TyZycnKFDh3bu3LlJkyY7duygKlXuhlf58hBbHCMAsPdCB8q0kKBd\nWG9cOv+Y+hwHNt4vwojf4OijdKaOw6PK7ML8PXZuWK0qbQAqwawIEJDKfE/w4fdo/wkEpipHkARn\n2ZyZAOTusSA0u7/UMQ4ivoCrak/yOPYmFaGkirQNDglsL1cUXduDG/sB7P0vakz4dJsGqrYgIq1m\nvBVhvh34AsHA4Z/ampuO/XyGUKij1PL28tVXX9HBeb/66quadPX2Sl06cOPGDbp84sQJvYccZDFA\nmFYaKuX6G5Q+YTUcekYlg+vu3bsvXLhAlb/++uszcQMqTtqFcqtMoamoBICtu0LV0TQUt48DgJEw\n8tbdxk2aEwReGDmgAQdWTkiNlzXjm8DCHqVFALav+111TBYO6PsNs8LIiFdCBwoTaEhHJzCNKzHb\numaFZY/xVAVBwHCWVADlwRS8wcNz8fdMmwW0ruLhQmOThau3xN26zuMZJSc9KywoCO0zwMauAYCZ\n85etmDs7PzenpLiYaky70epAC0dRC0czKzMzoBaz5hosbm5u+/fvT0tLa9CgAavhqDotWrSgy927\ndzcUYZ/FYHgbzTh0FzgyMjLs7Owqb/f+wZQ5SktLmbtIUkoQqmoSOuIFX2RRIhQpSQCdPsXt4zAS\nYvKOg1J+6X/3Y3J5YkovxYyi0XEE3AJAStFxJK7sUB1QhVjd5WWlSiG91UJwyh39dm1c3sW+DWAF\ngEMQFdOP1QumfA5UUpPkZ+J5bL+uP1frITTi81t36AygZVD7xCfxa5fOKy0utrCyPnv8H6rB2M9n\npLxIat6qTc/+qnFgUR3tJUHAzdrE3UTyfn6ncrlcZ2fn+h7FW0b//v2TkpKioqJEItH3339f+QEs\n7yjvjHoDNRE4WrduHRgYOHr06N69e7MfLpoYNGjQzz//TJWHfTaVw1GzKJMvN07ME3MQOhnpCYp9\nRkJwjeDdETwBCRx7KQVkpgbwbIcH51GSD4DfoGEZAIIDK3mWUbtG6DQCpYWIOYZQ1VhYBFAlycHY\nHEB6RjpMrKij6uwzy4zPndjG8Zcr6hO92hgbAUo2J2bm5lN/XtmmTRudzzj+YzVB6wvyc2cuWK5z\nnywsNWHatGn1PQQWjdSNHPAuSRuoicCRkJBw9uzZHTt2TJs27aOPPho1ahRTB/h+UvFj19XVNT4+\n/tKlS8VC6yb+AWqPevb0KczdZRuOPrBwUNodOhnNwtQc5toc7q3w6AKAMolcfKDdXBv6w6M1QMK3\nS8VDjYyMiivVcAAwEgLIzcmFCQAIeETdGI0SBFZ+0MjG2OiXCrYoAMYEOLR1MYOywOHWqPH0sTKv\nYB00jcVFRWrrxeVitfVgvAjeRsUmCwsLS92ju9Eol8vt2bPn2rVrZ86cuXnz5pCQkMDAwKtXr+px\ncHVPbm7ukiVLpk6devLkyZr0w5yBrK2t+/fvr0naAJCVlaXYMG+gGv1TrbRBQa+q0OlRzGxh7wWv\n9ugyBoCmjOhlZaU9PvxYy/hlGAkBvHr5gtqyFPLqRsNhKeS5WwrNBNzVfTwr7jUTyMxFmUNRO66q\nx8kxNjGh1lZU6Dt4mNr2Ncy7xsLCwlJzdAuOXo/oruHYvXv33r17b9++3bdv3+PHj3fq1CkuLm7w\n4MFPnz7V4/jqmOnTpx85cgTAvn379u/fHxISUvVjVT5zmZYcVx6/evLgrqOrm4OTmiChdo4uGboN\nl7b24Mh/RytndBmLgixNogZFSVHh6SORaFtZ0EwjReIPEZ/byNr48vM8Lc31ghGXmNbOiSp7WKnx\n6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8b0ppev38oF31flwFbtOlIFgdD41pWLudlZKc8TZ86cee/evYyMjJnjhwOAkRDmDTT1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\nffr0acOGDT08PIpXO2bMmLZt2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4p434yaq5HPX/Esy/L/K56I8vPzVSqVuaMolaU0I/+v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\nAyKudsR4FNc1AAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "outliers <- (as.Date(df$ds) > as.Date('2010-01-01')\n", " & as.Date(df$ds) < as.Date('2011-01-01'))\n", "df$y[outliers] = NA\n", "m <- prophet(df)\n", "forecast <- predict(m, future)\n", "plot(m, forecast);" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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x+5+WYta8+XlCvmrlSu/JJ34A+9efxBvPL8GsefN9AlJ1G1u/eiWYzQAhYFsW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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.loc[(df['ds'] > '2010-01-01') & (df['ds'] < '2011-01-01'), 'y'] = None\n", "model = Prophet().fit(df)\n", "model.plot(model.predict(future));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above example the outliers messed up the uncertainty estimation but did not impact the main forecast `yhat`. This isn't always the case, as in this example with added outliers:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -27.5907\n", "Error evaluating model log probability: Non-finite gradient.\n", "Error evaluating model log probability: Non-finite gradient.\n", "\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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eIXO5AOBeFw5uTVq28apVOzolMypbFgNUJBQeOHBg9erVjx8/1tDCuLyiu7F5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\nnVLOnXrh4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mULo9Of49gqA8tp1a7j1DkLGYnk2jOF5kE/ue27739ERHR0FeW+6DVwSP2G\njTw8vbUPfJLyaPU38z8eNvDY/j06ZTo4OJa0iLBs/YaNjHhhpXk4yNoFuWpWX/FycLG3TBLZKshj\n+Lj4eSvWjZs6y8w7bAHAWonwZzSIltW2cMjlcspUEhEV5ruoFLoXHm6doY6jKz6albAsN+pG1Os9\n3Dw8iCgrXz0CmEzCeDnJGoeFS2/eWBA/qkFogsPLaVRP/PH7F5PH6pS149cfE48ccHSSDxrxQUCd\nICJ6tU37C/e2cVsbNQ3r/85Ik1+mhGEGNfVKfKCeLm58mwBZmYssAAAAgrPaFo6hQ4faqW/9YH1q\n+aWnpmg2ORdlUXYa7V9c4cGJP6muq2c+W5owu3urhlt+XJ3zckAOP2dbCcN4OcgWx9Q9tH1jrzZN\nZo4f9fjRAyKKfqP7ux9O1Cns6qXzx/bv2bf112FvduQmNxk47L1pkyc5qxREtHjdRjPbD7Qbbwz5\nc5rwi6RG/YipUS8WAKDKWGfCUVhYOHbs2IL8PCIilrb+vHbRmLfaeKn7TSzs5EdE9NeJUsf8dYKe\n3qbCfPrzICUfINXLSx7utYno+6/n5heqiEjKFrVOO6HIzWUYOrJu0e/bfiOiMyeOLJg5hdv972t/\napdaN6TUHG+p/zwkbkzSsOZROZeIaM+WX4qLTZ9ijXT+hOa1buC7FgAAeGKdCcfWrVtTUlLU/SS4\nf4uUtrfUQ2cGBtVt9Vp0qQOe3qYT62hDPO2cS0k/U342Pb1FRUoiopa9uUliC4tZIiouLNz27dyl\nc2cS0ZnjJfO/a+Y2q601yWq3twZMm1eqHcXHz5+IDuzcEvdG2wM7fiOl4ts5M/Tcz2IQrSQDl1MA\nADQ0UzsJHQgQWWvCkZaWVvZBubMLEdlI2IKczPCIKFKpKDtdfYPJ6V/V85s8vEKKjOatIin5AN04\nRkREDMndiWHULR4sS0SH9uwgIjd3D03hPrX8uYVhYyd17zeIiDrF9GoV1d7RSR4/OyGiXcfI9p0W\nrdloZ2dPRAtnfUJE9PwRbZ5JLHv62GFzXqx2ksGwlWQc2m88vAl1oEIAAPhjnQlHjx49iEi7hSO0\nUZN9v6yhzCeFOxP6Rb969dJ5ItZ182SmuIiIjWjaUPvwrr37E1HJza62Tp8mLHu5kSWi8MjXiOi9\njz/VHBLRvmPyhbNE5CiXT56d8P2mPUf375776cR3e3a0sbGdt2Ld3OVrdcceZVX01MRJYrVpDzZa\nzkjnWvR8oeqZ/RUAAKqA1X8IW2fC4evrS/RyVpGigjYdOjs6ySn9Aa0ZQ7dOE9Hp44eJKDPjBavI\noB8/slOUtIhERndu27FLmw6d7F5OyN62a69G4a3Vm1kVEdUOCiaiFhFtNx05N/KjT4hoz+Zf4kfG\nbflxNbeXpksHEe3ZvEEnvPcnz9BefYe7w9ZU2jf8GntFRX97o9Wf/QAAUGWs87bYpKQkopctHHk5\noyZOHd0vpvxdV40iorzcOlP+Mz/pyEFXd49hYyetmP/FmeNHqcsr3C6nTyXZZD+l+oOJiIoKiejS\nmcSC/Dw7ewcPL++Hd29pCrt0JmnAu+8R0d2bf2keTHuSqvOcA4eNrhvS4Le1P9ja2XV7a0BkdCdz\nXqz2NHImzB6DrAIAwCqJ7ePdOhMOV1dXIiKWpfxsupXk7NJd//6P7t+N6Rsb0zeWWz28d4f6cI5U\nduKP39UJR14WEaU8vH/rxjVuCFGuawhHIi2nxejZk8fPUh9z3UU1Wr/WQZGbO2fKuHOJx/55cG/I\nmPHcmWHCiJyM1jin1aLPqNjeAwAAUAWs85JKZGTk8OHDiWUp+/mIzi28fGpxHTkr8jQ1hdWa1f31\nnn2ItBIOiaxFRBQRUZGSLqrnPXHz8OIWBo38kOvSQUSDR6lH/Zr93++0yz956HedZ1Tk5MyZMo5b\nXvftoutXLhn3CrWU6sNRQcqBLhoAACAs62zhYBjm66+/zt918+yjrCF9exHRRzO+CG3U+Ld1K58+\nVo8AVje0wf1bN7nlVlHR2sNnjZ06q7BQmVj88s4UifRRvTeIiIqUdP0o95iTXP397e1ba8EPP6an\nPXP39JLJ1PUZ1fkN7XjSnz2l0v5v+X+1V7nxObRpGjyKi4vOnjhaUJDftsPr9g6OZV+sVFoSuUN5\nE6mIIdWoLtOpiKGuAACsknW2cHAcHRykUvXcZja2trnZOZpsg4jqhTbq/84oImrb4fUx8dO1D3R1\n9/j86+W+L+90Jaks05mbf1Xd5hHRrqO7p5dmf0Yi8fatpck2iEgikU76fJ5mdfP6Vfu2/aZZfZb6\neNuGddrPOLjn6+W+BJZl50wZ//nEMXOnfjRrwug8haLsPl6OMi7lYBhytdBEKtpaBrpZvEwAgKqB\nXxHiYZ0tHGoMMQw9un935aJ5p48f9vb1097oFxA4YsLkDz+ZWe6hrErl4mCj7u3ZfnixzJ5Yksud\nu70zysXVrXfcO5U+eW5Otvbqf2dP8/TyjozuTETZWZnamybOnOPnp45NpyXAOe9Z4uED3PLlc6cu\nnUl8rXNXnSeyk0oWda//8b4709sH2koZ0nqDXUnNwZsNAADEwJoTDgnDMAytWpzA3QSb9rTkbhG/\n2nX0T7m+Y+OPfx/YRt3jSe5JDi5cdw6pTFpRgqJx//bNS2eT6tZvkPLwvs6mAzu3cAlH3ZDQ1q91\nOJ90nIjCI6Ne71nh3PSOjqWuoTSp7amdQGhSEy9HGRE19tG94GJ+tmHxfAUJEABAzWTdCQcxRKeO\n/qF5pFZA7Scp/3To1vOjGV84yvV98125cIYe/Ul3zlJYD60CK7kLJPnC2fiRcdxy5x69dbY6Oqmf\nUSqVzV783dH9e1Sq4td7vKUzeZv2V7Kfn9+QMeM3rPyWiGJjY9u3b1/u83J9RSXV4yYVAABQqy79\n2yzCmvtwMMRIiOkVO1TzyJj46YeS781a+K2r1qjk5QqqH0qkdaMKERHlKxRfTZ90cNdWIipUKp8+\nTtGZd+2PPds1y0f27WrZtlR+4K81zYqdvUNMn4G9Y4dq31VbrhHjJ286cu7SpUvLly+XSEr9vTSp\nCZdomDAIBwAAQNWw5oRDwjAsscPHx2v6PXz/9dzMF/8acuzb7419c+DbOglHniL38N4dC2ZOWbds\nUfdWDYfEtJv2/rAnj//R7ODsUpI9uHl4Xjx9UvvwtUsXPrp/19hXEeYn9/DyDgwM1LOPnUwit5W6\n2EmNLRwAAMSgJlxutuaE43ryxb+SL/ePfjXpyEHukWepj+d/NtmQY58+TmkT3Vkn4VAPXUp0YOcW\nbuHyuVO/rikZcmPgsDGvtlGPyZHx7/Oyxf7z4J5xr4GIDDgRXe2lW+Ia2cms+a8JkJub+80338yb\nN++vv/6qfG8AEBmr7cNx9uzZ4wf2Ur3WOo8/S31c6bE//7BMPU5Gx/dKbXiZf9g7lvS6UOTkaG1n\nozp1bdPh9cePHuz4ZX3Zkhs3DzcwfmPJMDM9WLsPPvhg//79RPT111+fPXu2Xr16QkcEAEawzoQj\nKSmpT58+1LofKfN0NnXq3kv/scXFRSWjcr1s0uDY29vlE/UcMDioXsiKBXO4BzUDome++De2cwS3\n7OziqlOsrZ3d8g07Ku07AgDlysjI4LINzqFDh8aMGSNgPABgLOtMOLZs2ULEzaVSqvfvwGGj3x49\nzuRi/X28Vyarr4k0bBp29+aN5i0j1d1Lic4nndDsqTPSBhEpCwrkrm7aI2SYHAZADeTs7Ky96u/v\nX9GeACBO1nnV38PDg4jo7gVKLvlJ9O4HE9+fPIOp7F4OqVT2SrMW6pXSLRxy25JemU1atOwVO1ST\nbRCRi1slI3J6ensbEjwAlCWVSn/66SdueeTIkT169NC/P0A1UhN6jJK1Jhxjx47t0KED/fuI/rmq\neTC6m6GfUFEdu6iXtDqNSouUvv+cvnQmqaKjWkdF93g5RVzcqA9CXmmivXX0x9MYpvzariGnGoCZ\nYmJiVCpVWlra/PnzdW4RBwDxs85LKp6ent6lmxP6Dhlet34DQ4/XtIJoJRzFeVl/rJr5B9Hk2Qnl\nzj3LSCTxsxPGTJ5ha2vHEqvIzb391zXN1lXfJBQWKlvMnl72QHOUHTQG6QtYN6lUWlxcLHQUABZT\ncz60rfNXglKpVHfjeMnR0Yi/aMlgXDq3xRIRUdLRg/qPLSosnDn+vV2//qSz6cyJI4bHAAAAYE2s\nM+HQTBKr0THmTcMPj+kzMLBuPSKiogKtnEO9IHd2Sf3n4dypH82cMGrT/63UOTbMT55yJfHy2XKu\nvORnZxgeg/WpOVk8AACUZZ2XVO7dKzW+1thP/19waEPDD7e1s1u789DVS+dJanNC6bX9+nMisrW1\nVRK1bNtu+Lj4pXM/P5d4jIjOHD9SKyAw+o3u2ofb2NiUW2zfvhVO0gYAAGDdrLOFQ+cOuuBQg3tv\nvMQwTLOWEc1ahNu8HFDL08t7z9lr83/4ydcvgMs2ODevJWuWuR/xMTExke07cY906zMwol1HIuoV\nO2Tq1KnGhgEAAGAdrLOFw9fXd9q0aQkJCUQU0ze2Reu2ppXDsqzmJlqGGHsHRyJiJJKojl1OHTvE\nPd7sVd3BTO3s7HZu3picnJyqtA2oE8Q9iAsKAABQk1lnwkFEU6ZM6fr2mPS0NA9vH9NKWDH/i20b\n1lG7dyliABExVNKBdOKsL109PDOep7ft9EZkdOeyx0ql0vDwcAlG9wIAACAiK044iMjFzV1FJs4w\nsuTLmbs3bSAquVGFYYhl2UtnknKysyLadZw8O0HnkLJtGBhXVAeaeQAAaixrTjhMtmbJQnW2QUSk\nHmyUYZgFMyf/sXs7t3r79u37ikqmg793796yZctyc3NHjBhBfm34ChcAAED0kHDouvHn/zauWVGy\n/rKFQ6Uq1mQbRHTgwIGG7UuGLi37272wsDAiQj2X27Zt2y5cuBAUFKS9P5o9AACg5rDOu1Q4LQMr\nmdykXM+fPdVedXRy4hZsSg+l7OjoyC2E+cnLvVJw//597dVz586ZEAwAAIB1sOaEwzTNW0ZolhuH\nhfcbMpxbdnewHT4unlvu2bNn165d9ZdTu3Zt7dVGjRqVu1sLf+dyH7dKKSkp8+fPX7Ro0dOnTyvf\nGwAArEiNuKTCtUAYeAnDxc194x+nD+7aYmdnH9M3dufdAiKyl0ma13IaGjMhpu/APIWiZ5tmDMMQ\nKfWU4+DgsG3bthUrVrAs26tXr6ZNm1rktZRVXa7OZGdnt2ihnoY3KSlpw4YNDg4OwoYEAABVpkYk\nHMby9q01ZPT4l2tpROTvbPtOCx8i8vKpRUSVznHPad++ffv27XkKstq5ePGiZvnkyZN//vmnpo8L\nAABYPeu/pGLOrZjnk46vW7aAiNKfPWFVKssWXtMEBARor/r5+QkVCQAAVD3rTzjK4rp5VtTZU4Nl\n2ekfDqesNCLKevHvsYN7NYfrLOixZ8+eQYMGxcXF7d27t2wYpkRfbYWGhs6ePZtbTkhICAwMFDQc\nAACoUjXokoqevg7anTw0ywX5eURENxPJK4jqhj9LfUxGZgmPHz8eMWIEt3z48OHk5OQa/rN+3Lhx\nY8eONfCCFAAAWJOa2MJREU2bx549e7o0D34zskn9ho1IVUyKDGLZyOhOhhf122+/eXt7h4WFaT94\n584dC0dchmhbTZ4/f75kyZLFixc/efJE6FgAAEAANaiFg6NnAHJORkaGplnizt83YoeNvu1YL69W\naN36hk45m5KSMn78+LKPl71RpYbcE6tUKkePHn3y5Ekimjdv3p07d1xcXIQOCgAAqlTNSjgqzTaI\nKDU1VXs1sF5Iv259M/KLDH+Whw8fln3wu+++c3MzZSAyK3Dt2jUu2+CcO3euS5cuAsYDAABVTxQJ\nh9PL0TwtzsHBwdjCmzdv3q5du8TERG71j11b3+wfF+ip/kVuSGnl3u0ZGxtbdtgJiUTCMIyNjY1R\nEZbl4FBseHjGYhjG0dGRZdnKd61AcHCw9mr9+vUtG6elqpFvmtFpxalaVCPDMA4ODuacjXyrFtVI\nRE5OTuKvRplMFN9Qeoj8bGQYRiqVSqWVTPtlAtNetSj+nLm5uRYvk/tgysvLy801uq6HDBmiSTiS\nL567+r+LjZqHc6uGlCaVShcvXjxp0iTNI3v37lWpVGVfpo2NDcMwSqW+AcQMkZeXZ3h4xrK3t1co\nFKry7go2kJubW0JCwrRp04hoxowZwcHBlv2LW6oa+cOdjQqFQsyfTTKZTCKRiLkaicje3j4vL6+4\nuFjoQCpULarRwcEhNzdX5GejVCotKCgQOhB9xH82SiQSW1vb/Px8Pgo34RcUOo2Wo0mTJtqrHl4+\n3ILhXTJbt26tvfrgwQOLBFZNFRYWXrp0iVtu1aqVsMEAAIAgkHCUo1GjRtOnT+eWP5w6y9c/QP/+\nZek0YY0dO3bkyJGFhYWWia+62bhx46ZNm7jlfv36CRsMAAAIwsoTDpNvE42Pj09NTT34v9v9h47U\nfjwxMfHXX3+t9N7OkJCQuLg47Ud27969f/9+04KplGjvhuXo9MMtKjKiBy4AAFgHK084zCGTySSS\nUg0Vc+bM6du374QJE5o1a3br1i39hy9btmzr1q3aj+Tk8DvFmmjTju7du2uWY2Njxd8RDAAALA4J\nh6FYll26dKlmdfPmzZUeEh0d3b9/f81qt27deIlM9Jo3b37o0KGPP/544cKFixcvFjocAAAQAH5r\nGkpnQG653KDmhBUrVvTp0yczM7Nbt241dhwOIgoLC9MZdxUAAGoUJBxGWLVq1ejRo4moU6dOw4YN\nM+QQiUQSExPDc1wAAABiZ7UJR1paWnJysr+/v6enp8mF6Mz31qdPn9dffz09PT0oKEgiwdUoAAAA\nQ1lnwnHixAlN54k9e/ZERkZaqmRnZ2dn5xoxAQoAAIAFWefP9NWrV2uWv//+ewEjAQAAALLWhEPM\nQ/byRLT3xAIAAJC1JhyjRo3SLHPdPAEAAEBA1tmHo2PHjteuXXvw4EHdunW9vb2FDgcAAKCms86E\ng4h8fX0bN26cnp4udCAAAABgpZdU+IBOEgAAACZDwgEAAAC8Q8IBAAAAvEPCUQlcSQEAADAfEg4A\nAADgHRIOAAAA4B0SDgAAAOAdEg4AAADgHRIOAAAA4B0SDgAAAOAdEg4AAADgHRIOqAo//fRTXFzc\n4MGDk5KShI4FAAAEYLWTt4F4JCcnx8fHc8u0opIvAAAMcklEQVSHDh169OiRvb29sCEBAEAVQwuH\nQTDeqDlu3LihvZqSkiJUJAAAIBQkHMC7iIgI7dWgoCChIgEAAKHgkgrwLjg4eOfOnWvXrnV2dv7o\no49kMpx1AAA1Dj76oSpERUVFRUUJHQUAAAgGl1QAAACAd0g4AAAAgHdIOCqHW1QAAADMhIQDAAAA\neIeEAwAAAHiHhAMAAAB4h4QDAAAAeIeEAwAAAHiHhAMAAAB4h4QDAAAAeIeEAwAAAHiHhAMAAAB4\nh4QDAAAAeIeEAwAAAHiHhAMAAAB4h4QDAAAAeIeEAwAAAHiHhAMAAAB4h4QDAAAAeIeEA4BfWVlZ\nT58+FToKAACBIeEA4NHq1avr16/fpEmTQYMGFRYWCh0OAIBgkHAA8CU/P3/69Onc8qZNm/bu3Sts\nPAAAAkLCAcAXhUKhvZqdnS1UJAAAgqvShOPKlSuLFy+uymcEEJCHh0e/fv00qzExMQIGAwAgLFmV\nPZNCodi4caOPj0+VPSOA4FasWNG7d+8XL14MHTqUYRiWZYWOCABAGFWXcKxfv37AgAEnTpyosmcE\nEJxUKu3ZsyfDMJ6ens+fPxc6HAAAwVRRwnH+/HlfX986depoHrl169YXX3xBRG+99VafPn14el43\nNzeeSrYIhmGIyNHRUehA9GEYxsXFRego9KkW1UhErq6uQoegT7WoRoZhnJ2dhY5Cn2pRjVRNzkYH\nBwehA9GH+2wUebOlRCKxt7e3eLEqlcqEo6qojfezzz6zt7cvKip69OjRoEGDunXrlpOTc/36dSLy\n9/fn4xOEOxUyMzMtXrIFyWQyhmFEfreki4tLTk6OaadX1agW1ejq6pqVlSXmzyapVCqRSERejeI/\nG6tFNeJstAjxn40SiUQmkymVSj4KNyFnraIWjrlz5xLRs2fPfv75527duhGRXC6PiIjgtqanp1v8\nGbkEWeTnKxGJ/5uSiAoLC8X8piLRV6PmbBTzRzzLsuL/iCeioqKi4uJioaOoUHWpRvGfjVKpVPzV\nKPKzUSKRiOqzEbfFAgAAAO+qNOHw8fGJj4+vymcEAAAAMUALBwAAAPAOCQcAAADwDgkHAAAA8A4J\nBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkH\nAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcA\nAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAA\nAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA\n8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADw\nDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8A4JBwAAAPBO\nJnQAAABQQqVSrV27dt++fUVFRSzL+vn5zZw5s06dOkLHBWAuJBwAAGKRkZHxyiuvFBcXaz+4ffv2\nvn37rly5UqioACxCFAmHVCq1eJkMw/BUsgVJJBKGYUQeJBFJpVKuPsVJ/NWoORtZlhU6lgpxf2Ux\nVyNHIhH1hWAzqzE+Pl4n2+Bs37591apVFnztIj8bJRKJRCLB2Wgm/qrRtJNHFAmHjY2NxcvkPuL5\nKNmCRP5FzmEYRiaTifmzqVpUIxHJZKJ4u1WkulSjjY2NSqUSOooKmVmNGRkZFW1iGMaCH2g2NjZi\nflNz35Qi/wAn0Z+NXO7LRzVW44QjPz/f4mUyDOPk5MRHyRZkY2PDMIxSqRQ6EH2cnJwKCgrE/KYS\nfzUyDCOXywsKCsT8ES+TySQSiZirkV6ejeW2AYiEmdU4a9asrl27ln08MDBQpVJZ6gNNLpfn5+eL\n/GyUSqUFBQVCB6KP+M9GiUTCsixP34POzs5Gx8NHHAAAYILw8PBjx455eXlxFwq59sXY2NiLFy8K\nHRqAuUTRwgEAAJwmTZrcuHFD6CgALA8tHAAAAMA7JBwAAADAOyQcAAAAwDskHAAAAMA7JBwAAADA\nOyQcAAAAwDskHAAAAMA7JBwAAADAOyQcAAAAwDskHAAAAMA7JBwAAADAOyQcAAAAwDskHAAAAMA7\nJBwAAADAO4ZlWaFj4EVeXl5cXNy2bdukUqnQsVRvsbGx33//vYeHh9CBVGNKpXLgwIGbNm2ys7MT\nOpbqbfDgwUuWLPHx8RE6kGpMpVL17dt348aNjo6OQsdSvQ0dOnThwoV+fn5CB1JtWG0LB8uyKSkp\n1ppOVaWUlJSioiKho6j2cDZaxOPHj3E2mi8lJUWlUgkdRbWHs9FYVptwMAwTEBDAMIzQgVR7AQEB\nMplM6CiqPZyNFuHv74+z0XwBAQESidV++FcZnI3GstpLKgAAACAeSHIBAACAd9W7OUihUHz11VdF\nRUVOTk5Tp06VSCRLly7NycmpU6fO8OHDi4qKtFcVCkVCQkJxcbG3t/fEiRPRvq1Nf01y+3z55ZdT\npkyxt7fXqVgh4xYZo6pRZ2dbW1tBYxcRo6qRW71y5cqRI0cmTZokWNDiY1Q1siy7atWqZ8+eubi4\nTJgwAR+PGsa+qfEto4d09uzZQsdguoMHD3p5eU2YMCElJSU9Pf3Jkycsy44bN+73338PDg6+evWq\n9uqFCxc8PT3Hjx9/+vRpT09PT09PocMXEf01KZFIPvvss+Tk5IEDB8pkslOnTmlvdXFxETp8sTCq\nGnV2rlevntDhi4VR1UhECoVi+fLlTk5Obdu2FTp2ETGqGi9cuJCdnT1+/HilUmlnZyeXy4UOXyyM\nqsYjR47gW0aP6n1JJTQ0tGPHjkQkl8ttbGxu3brFfWrXq1fv1q1bOqve3t4PHz588eJFenq6m5ub\nsJGLjf6alMvl8+fPb968ObezzlbhohYdo6pRZ2fBghYfo6qRiNavXz9gwAChohUto6rx+vXrxcXF\nS5cuzcvLq1WrloBhi41R1YhvGf2qd8LRoEEDT0/P8+fPnzp1qnXr1gqFwsvLi4g8PT1zcnJ0VkNC\nQu7evbtgwQKZTObu7i507OKivyaJSCKRaJoHy24FjlHVqLOzkHGLjFHVeP78eV9f3zp16ggZsSgZ\nVY05OTlPnjyJi4s7e/bs5cuXhYxbZIyqRnzL6Fe9Ew4i2rx5c2Ji4syZMx0dHR0dHZ8/f05Ez58/\nl8vlOqubNm169913v/rqq7CwsGPHjgkct/joqUmdPfVvreEMr0adnas8UlEzvBp37Nhx7dq15cuX\nX7169cCBA0IEK16GV6OTk1OXLl18fHzat29/584dIYIVL8OrEd8y+lXvhOP06dM5OTmTJk1ycnIi\notDQ0Pv37xPRw4cPQ0JCdFYLCwu5e4BVKhVGa9GhvyZ1dta/tSYzqhp1dgYNo6px7ty5s2bNGjdu\nXNOmTbt161b10YqWUdUYEhJy+/ZtIrp3756vr2+VByteRlUjvmX0q96dRvfu3Xv16tXjx48fOnTI\nzs6ubdu2hw8fPnnypI+PT3R0tL+/v/ZqUFDQ+vXrjx8/npmZOWTIEAzYok1/TXL7HD16NDo6WiaT\n6VSssJGLilHVqLNzUFCQsMGLh1HVyK3m5uYmJyej06g2Y9/U+/bt27dvH8uysbGxGBZMw6hqxLeM\nfhj4CwAAAHiHNBYAAAB4h4QDAAAAeIeEAwAAAHiHhAMAAAB4h4QDAAAAeIeEAwAsb/78+UuWLBE6\nCgAQESQcAAAAwDskHABgGYWFhR9++GHdunUjIyOTk5OJKCsrq1evXoGBgaGhoUeOHBE6QAAQEhIO\nALCMNWvW3L9//+bNm7t3705MTCSiDRs2uLu7P3r06Lvvvtu1a5fQAQKAkJBwAIBlHD9+fOzYsba2\ntj4+PrGxsUQUFRV18uTJWbNmyeXyb775RugAAUBISDgAwDK05+mWSqVEFBYWdvny5YCAgNmzZ/fr\n10/Q6ABAYJhLBQAsY+XKlbt3796+fXtWVlZERMSECRMyMzOLi4v/85//pKamNmjQICsrS5ORAEBN\ng7nsAMAyRowYcfny5YYNG3p7e7/zzjvu7u69e/eOi4tbv369jY3NsmXLkG0A1GRo4QAAAADeoQ8H\nAAAA8A4JBwAAAPAOCQcAAADwDgkHAAAA8O7/A/YE1AybwO+jAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "df <- read.csv('../examples/example_wp_log_R_outliers2.csv')\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods = 1096)\n", "forecast <- predict(m, future)\n", "plot(m, forecast);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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USOw39xQxcnDKRA/J+yr5z9DD0G+aOXzhXwvDMP2GF6hkBK1ZDzNPiicf0P6Z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\nK+PMM8/cX4f70FqPH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+4g7yvwbIJVSTynetKnFG1XFIjlC+bhGnJvyxbMVdqvssi+hjvZ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\nCvaR598Kv5kGuVYo6wp9BsOZ17bb3tVLFjLniYfh6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QMZOjAWPs5i6qvUX9M4\nF6ZlwXEA07RQ0zDXJxpHyrRHnQkCwJuJXNCmT4NN+Yh+oHAlEAF9mcSwAPSiaFgZopEodm7fKl1K\nYA5NbvV4n+5rdQBjaL+y+fUNKMsrACEEbD8A8g3nHo2PzZ/Dy9jdjaqCqATK6YRbLf0AvNDsfsqM\nOlz6+UWYVs+tx4IeSV22AwKlG7V4ti8xmFBwkE0Id22onlqHv9yb2SeaUoqTz/4MyitHoHb2PEyb\nNTtlEJcbVEuSOngp29RPQckWtSgc1+OWPH/fyKIcHxSpVkre4QkBCEsFpRxEMO1oAuC/jh2HXy55\nSz0QcddDHowAuLLUziKseLm2gc64gynD89HWm8RrOzr164CwzgUrQZPL87B7S9wvZ/87YjgArD+h\nlOC3Z03H+NIY4i7TwN3MqkK0bGs/IMqm/mRqeT5atnUEIGw/VyL2JaZBUZ5nY2dX3E+o4slAubB1\ncLAlYAxBqAN/cKnIj6A74aAnEYetBH01jijkPsEIgCf/X39ugu6PMGBEURSUEp7ZsDvB+auV8UCU\nZRrAxGF52LizC66wACuAVBVXUDO6PpMJIQBl8l0NW4uJ9p+fQKc/1ShAqeL2p4HgYJcsVhyjZspk\n8nih2wLdwPwBNwCkRJQQWvFSBlAwudITgO6gMaKPn1dfhb+sSc2epx4j3omISbnLBBH9NjTRkPUF\nyUkABhgElPlJcXzgm7qazKSFV30e4TTaBiFw/Zu4eXcXcm0TObaBrqQD17Pxn44+WAZFMpQxoL03\nwCCqnDylHCdPKU97/UJ6ki427uzCiMIcnF4zHE0jixB3PLy8tR3/2rQLdVUFsn3p2DsOdjkCkH1x\nFZQqvRvkb9+Fwv8Ms1AIULyxZRVeXdmM6U1zMa2+KW2ncz2mEZx3xt3A8ixAOZRPFrRDvsOMYXJt\nA354x4NYv3IZahrmYuyMWX4WHsUlw3cP2d4ZDzcDXv0nUrZh0nwgrwS44Kb+b9YZ3wEe+B+07dYD\nuiil8KxIPycOolz5F+2nk0gAGDxwvtqtQMO2V2BaFpIDcbHY8x5uO2M8Gpo4ON7uB0v0Jl3E9pEk\nQURTh4HHxKnTMa1+jPxNlOPVDWJwtPylXrlLAdEg/QMb8odLYZoWTjjzXEyta/Tr0etNGSxD27SO\nC2g+jMwfsCyDYsveHgzPj6acEjg66IMxIUx3sSA6UBWDJQjw0fElGkA+a3pFwIFMUssQ45T/VmNk\nUY6M6Pb8JUyDAsK1zzZ5co90EJQoA2E2hIDAogSFURNleRFsbe+D8rRhGRTVhTnSGjtYkhsxfd3D\n69lX0o8DEXHbhP8lfzaEu+EM9uw3gwx2LdQPfBSrPEJu+fQMvN+V8LepzgypYJYS/l91IV+1Y4zJ\nRCXyXZHYjmBsSS4KcywYFEi6+kQ6LHy1iSAJDpTrqguxZmubXz/khFKfb+ml9dfTBPjkhia9INku\nEvwW76H6Zqs1EuVcDbyz1MA27V0PnaPeb3EA8a1hAiwTMJwypSwtQD63rgoiIDlcnxrDIOpmSh3c\n0std5LifI/PPC+I0CHTeZcYgJ1RCwmm0xTUSAp4u2+UrCYwBhmlgZ1cCSY8hx6Loiuu84V0JZ0DG\nvLBs3t0Nk1K4hLNg5CNIpjOqOAdnTg98jtt6k9jReXBnzUsnRwCyL2Ewy90T5Eis+RyLmW5gc+bg\n+AfCJ9i2cO2dD2FsybGoLIhoyvHd1l4k3SCYLkzNIstnwUsnYHnY7WJybQMYY1i/shkJ18Nxx8yH\nbVK09zlyFpqx28cyuCQsvCfjPZJSXZOyiXkeiqrHovX0b+37/MGQkJtHjgF0D2Iqvb1GIf71yH0w\nqAFCjX7dZQDgd6cH4BgAuhIuoibFru4EciNGRkJ5YdEkhMAIDT5yYEEwGIht4UFPpEQPJx9QQXJO\nP351F3zuEsycPQ/T6pv8yVpAjQbZDjk9VMB5kCZWbag4NzzAUnC6LjHn4MDep0Byg4HRNgnijp9R\nyy9fGzSVUU4F1kYowOXChmqNL1WdOEgwohScGzEh2DpdP1J9ZlUhVr7XBgLOWtGyrR1JV7dQCYgd\nbudgidAHPCOgPsCp9VUOIMDsQEXcs5qKgWXROxAxDQKPBUv9Y0pi+zzng4o6WcrGsyPQA0g1f2Dw\n/u968C2+/Lop5ZMFjzGZ7RDgLh0MwJY9PRrCFKsvwgWnZng+1mxtlys9TFyfcoEFUQvTKvhxJTEb\nlAB1VYVY8W4b5KQT4pwALEtNQFhaCruHP9uAuOshZvmTHQXMheb2KZMDAtHXlYaqwDr0hLa298Gg\nBJavcLgVVviVK5UolfkqN/2zVo7JFPS78KhR2NuTBKWKpZsEbiyC+ZGIa2dKinnfECKSn5iKIlNB\ntVqziDOBWh7xJzBKu0XZHmMgBqcAdcFgGjwvg+kzl4Sz5q3d1oH716a3lKeTvqSLqMXHRNsgIC7d\n5ypP0vXSBnQO7lrX4MsRH2RwMKC6OQiLrX4QAmsyS9ms+wQnk3h15TJ0J1zNWgwASddF3BFgm5OD\nByZrDrhfX7sKj/zhZmxs4ewUpTmWRuEm6tzYsgo/XnguHrjlRlx/xfl4e/0alCiBOVntfDQVbLXG\nP7zuPpG9j0WfTZOl7+7LD7xQMwrXdUL2jFQ5z1iHHFM/xvIZBHJtA93x9Mi9J+GitTepWzMVYWCK\ndYAoS4wIFDB0ywpJt93/U/ldw/LpS6/EtFlNSluIVLqppPvqv9R65Db1upTvIohQqPeSmI3JZXma\nP11dFadEG12Sow3U6pK02Ka2KjyoMbF8KdqqDYx6OeH7nxcxUez78RIEFnjOhECQY4U4RYk6gA8+\n1OKDNlDi8/cKq7xpEC1hQTZEXxrPBoyEDy6UlZQsVZOx8iyIdCHw71lxjoXW3gRcz5N9KshcSOS2\niElRW1nAsy4q91v4IudFDAAqTZlIHMR/xWzd9hUGXUIiJkWubWLCsFy/L9GQLlL8hJV3SJSZDhiZ\nBvX9c4OXLawngPA7pxQU+qrpPlX/Ec7So8ZuEMCn3yNapVLfhNojV7lIavsyMXS09zo+c0bQNtXt\nTdWh2n0ngR4hJGA6UROWiGtTV/s8MD1RClG/6+0WvOiiPcIfOmDWSGXJWPrWXu33o5/PnEa7J+Hi\nbT8bn+VTzJnGvgNpGfpPTX6wyhGADAQ8x747g6R5Q0Cv5kF3vWAs2MAATGuaC9PmlF2mZWFa41xu\nKQ7B1LjLZBa9hOul0LdtalmFH3/pXDx4y4348cJzsXXDGlCqsGbI9gKvrWqGk+SgPJFM4palW/Dy\nf9qDQD/lWgZb7MI0Wdj2lw5tsGT32ziuJIG//v6G1H2tWw+83EgMIATU7GehZesG/OUXP8Dl558p\nmTUYYzIDl21SJDOAl93dCeSYhrSshIOqWnfvTrG4APoAFQwWiuIUy3XKeeL3rz6Zav3nRQTR0EKx\nqnUEA4reBrVsVVGnY7wQg5qlLReKAd3QFKgIQin0UxoTpRXif9WKQkP3IGhbsAytgmtxGPUHSJOS\nFCt/jmVgYlkeLIOgIj8Cg3KdEDENNIwoSgEhQZ1pNw+aUHkN/NrL8yLIzdCWwRR9ApCF8v1nKt4d\nUWe2RYWAWSmf8InNHefU4tHPN6K910HMMgH/WvMjJqb5VnnOcUsxtTwflBJUFkQxK8SfbZsUk3xe\na8FnDPBYBhX8yHdEm+SG3w+SkolQ0L+J9yocFAyoFs3U6+2MJ3ngLZR7q+mL0LuofFPPCRedDqAL\nf1712KqCHEmZpt4H9Zr1exCAZ/lJSNoU4QAfgynV256uvfIA9RiiUHRKEKu0zwe8KuAsiVlBu4le\nFlHOCcqDBrypD2RFveEkKH2hLHoj++EBZ2Dy2sV7alGyz/fUY5DMQKECD2o5ApAhKNlUs7DIChe4\nUYQty2pAHwBMmtmIq+94EOd9+Ru4+o4HMWVmI5Kul+K6EXdcuSyTcPSdjAHrFdDrOEm8uXYFLEr9\njH0B4PUYQ03DXFDT4G/FuTdgFavCtc++EZQ3CPcmk4ytqUvdaB8AQB4M/uLuNtx09bfwp9t+o29f\n+4+Bl/HUb4DNy/Vtdg4++fnLcfw5n9M21779d6Cvi/946LuA68BJJrC6mTN4uAyIWgZXUiDojDvY\n28OZRDr6kmjvS8JxPVBKZLIBAuCCep18fdlzT0oOZFUx+j9TgHD6QUUZEAgwPC+9j7hU0iSNole2\nq/tImu2yXVAHaLGPb+esFYEVBeBW5Sk+J7AojVLh+kRSBkVRHqBTgYWNFDJbljw7GJxl8gjKJyd1\n1Rl4gAnBuGG5qK0slPRPqVZ1tZ3ZgZEk/AD8ijl4zy6SFAN5tkVa07IMxtOJCr4Gu2RCOPDIi5iS\nVYKAoKYiXwdbBLAo1bia01nsGSBdIkx/wjm1PF87L4VJggws4FGwfxACmY1R/JZl0/QTUoAHDAvW\nFa3ParpFn5SYRvA+6o1Op9eCX5wjPAjQE/pGzBOI+k4SHXync1VLp2fCQgk0Y4IGvkN/cptm9RWT\njyDITgBdIR8ZVwLbIKivLsC5dVUK0E69IVqdUqcR+c5SwnWu8GMOX9fLW9tTrtEJJTADwPM1gF+7\nx5iSNTUN8A2Lz5gSppk72OUIQIZvIVasweqnPMZTs+aFjvWB66TaRpx1yVcwqbYRDEDSS43cdL3g\nvLhPzq2WKUAvIQSGYaBh7tGI2QaG+75nQJAxTwL23GKwiokAuI+z3s7swOTX17+autHadwaqFBmk\n5jnJZGqgwXO/559/SeMX/fvPArdfDLz2PIxHr8ZxIyKYuEvnVq6d/zGc/5XvYE2r/pp87aJPIXLX\nJSC/OgvwHFBKYVo2GuZyOpvNu7v5IOgrKduk6OhzkHA87OxKYEdnHJv39EglKRs6iWEAACAASURB\nVBRsrm1gbOs6WQ9r3Y6nH31QA7iZgDCgD0aBstQHyUxcwcJqovzUlDYfaAKAGbRDOUezVAVAFMpx\nVAy6/jHhVUy1dYKySoBoSrhyFxHf4q8sz5YgId2Ap7ZXBNEQBNnrKAHGl8bSDvaq2OlSXIXaLkrI\nDmAVAylDb9IF89iQgchRxQfwbu+nBM9UtxRmWwwa1JWNSYDoF9pqIkm9PtEfB6ISbYOiujAqU2GX\n5lqIhii05Lul6YWBXZ+gOKwuzJHvnQD1gSsT//7VY8Zq5+ZY4WiK4LygQco+QjC2JOZbNkPWXkWh\nqRbSwNILmES/ruF5EYwsioUm5/oESAWlEuiGdFWmeyXLJcqVyHJIoAeVuuRVE70d6t1QdfvEsjws\nuWI+7jhnJl9lVOrWzlObKKsMrOrqO2X4YHkgQbZv7O7GO35uCICzbb3b1gvuvkEkA4rg40+4Hjbu\n7EJHXxJtvUnEFat0d8JBWx/nIM9m/EI25EiQHkRmPJ1JQvwR5TeBorxUd4zA0Uwr1/VSLciq9Dmu\nXib8YEBhJXY9/P1hztYQdzws/vdiTGuYh3Ez6kEIwbpVy3gq54JcrdzXW1Zh8sxG0czsCE3TdQ7A\nxcIwKNwP2khCQA2D34snfwWc/DV9/7YN2k+6chFIvBPUMHDGsDZM/shF+PmPvoN4tBCYGxx34pnn\n4h9LV2N3PHiudx0TQW3DbNx6/2NY3bwUhcUl2LV7N6qmNWJibQNcjyFPRK7zqAxYlCDuMWzr7JMW\nA+avWlBCNUUX7+0BigE4CWD14yDjP8MvESQYYIn2wfuQqA+KImZBvxW/MwWeCPAoytL3KQo+uOVc\n/ArU4U8cHLSP93JC4PusUTlxVHGkCCIRAWnCksWj9gMftmG5NvIiJt7c0w2TEowrzcU7pAf/ae9N\nBVUsGJDK82y09SURd7hyH5Zrozvhcn/QDwiMCAkC6bIF7kSRnXEHXXFXUpQNhVQWRDmHdRZ9nVWA\nIIHEEEwAqgtz8F5bb4o1cDBE+AUTQrC3J4k8W7gMpU7mZlYVYld3fEDP1aAEo5RsZpPLU4FHxKA8\nmBQBOB/o9cVsQzIpUEJQVRjB+51xudJalGNhR2cchADHTxiG37ywRTmbaTpBWHGZrr54W/xtZXkR\nEACbdnWnPndNv/D7ya+LQKRdTioHU9+HW71U0yDBiq1Sr6bbSPDJkHmSK4Cw+hsIQDdTt/l6m4gL\nlgF20DsASe0PImLfDRl+iCiVBP1IDd4TVl2h87U2k30nQQGAXJuvdLT3JbG9ow8V+Xwy1hl3QCnB\nm3t6MCzX9llWKDr6uFtNd8JFe5+DPNvACN9VozvhIuob/T5RU46X3m3DK9s7+CXusyUfrhwByAhA\nsfiRzkLsMUiaFtXtQp4GgPjn8s6bymeo1cc4xZtlEB6U7gP0JU8sgpPky/Gu6+Dh++7Bo489BiPR\nA9dx8Jht4db7H4c9ciqmzDoK1KBwTX3Z/NorP4fv//aPmFrXmDUfZBhpus4BuFhQSuB+QIRcVlGJ\n2k+eh+ce+V+w157jAYR73uXlG3z27b6zFhjN3UJu/uoFeG3uaDTMPRq1DbNx929/gWQyAVj68s+I\nCZPxwsOPA+ZEuW1181LJayy4jdv7ktjVlcC7bb1gDIHfrK8tTUrgUoI+x+P+Wn4UsyCKF5rxtTUr\nseO9LUDVbGDVIzAowYlnLVDK8i2njOkWChDe99Io2UDxB0tu6SQloAQBQBGnMOWaxCgj2qX1dBIM\nPKYEvHx/xDT4IOu3tb46YFOJmAamDs/D23t7tQFoXGkuNu7sRGmujdaeJPKjJkpiNnZ09KVYzVKu\nX7lP1UU5mGDlofntvdIqNqU8b1CUtMg2J963jGmvD1AiJk8uEHfEMwmWpIfK0uoxNujXlU6G6nqE\nVBVG8Z+2XgBkQC4I+yMxy5DL/QYh6E26msuCWp1tUknnNhgyvbIAy9/hWcvE2z3Q65tRWYAV77TC\nIJz+jRIeYNidcFEQNbG9Iw7TB6opwb9h6yUUPaT0Vwke/d+mwYPJWDhroz9jF2WJfs9Ze0TByOhC\nQggwq7oQK95t9bG7r68yHCsUQsagMkIyGhOAoNgU8M00bB46VhRN/AQuRBrXtnb0ocKfQGhAXjlH\n7BM6mioFE4QyDRKCG06fim8+oRuOhDgeQ0/SQUHUws7OBGK2ife74ohZnCM+alFELUP6plMC5EdM\ndCVcdCYc/gz9shhjcFzmU5ACpmlgekWeBMgHuxwByBAuFkz7rdKsAUoQHyEpqDfslhG4OKQmC3l1\n9Uv495J/Y9ac+SidPw8WpRKgb2pZhX8/pvD7Vk0FzrseHgDvl2cBzIWT5CDtMzMbMfn4j6Dvxzfi\n+t3jtToSp34T61c1Y0pd5mjUDyq1c47Bq39/W78+Y/95iGmKyth/2b3zfYydMgOWbcNxksCG5+D5\nFkoC4BPnXoT8agIy1sS4ceMwp2Y45swJKNka5h4Ny7KRpASqQ0zc8VA5ejygxPkJNwpVGOODG6cF\nI9LXK1BWREamewyIGFz5GaqiBfDKimVgXX5EcbwHDccej+l+sg5pcQhbYaBYlqEqUCKT16jWmEyU\nziRURviJ6ApZwmMIajNBT6gdQ7j112MA8V2LbIPA8QSPa6qVpiBqobZKD1Ys9VkbciwD40YGqyWp\ny3UcOF42dxR+38wnSMJ6o1q4p5TnIekylMSszC4n+yljS2J4c3eP/D1jP5J/DETEPXh1ewdybQNx\nx0sBWNmWgog5IOvTgYpctlas/kMtg/3cCnMsjCqKYcP7nbBMivc748iLmCp0yppIX/3Qeznw8/k7\npzJjiMDU0piNPd0JJN0gaDQswTWy0O9AJ6kuZkU5FsaVxrBpV5dypDIx948vy7PxTmtg8VdVmhak\nGAKFXD8olGsITTBDSq8fbzTtU9ue7hyhj6FQZ/r9HKE2Er/hhARa3TYMzb1N0OAJKk61fg5Y9d6l\nAnlxTEE/XOl7exKwfMOSYNCI+Bz7UZPCNihMyrT7w4OqAZvyFWHHY9jW3oeOuAOAoSjHlu062K3G\nqhwByAjAL8A/XObBYJSDYX6A7vNLdPcKFSNualmF9auaMX32PNTOapKdobm5Gffeey/+cNfdcB0H\nD95m4aY/PozZs4+SZaxbtQyuq1gxz7tefiUjpwHvvQpqmGiYe7T0h2w6dQEQzo42YjrycjaA+R01\nG/KF//4BNtRNwx+u+y5cxwGhFGNqarFl36dqMhiDIPMYVj73D1z8rR8j3tmGyvIy/PxH34GTTMAw\nLcw64Swcd8x8bH51Nf7+p+uxePdOlJaV4+SzzkV90xzpMvHHBx7Gv5VyLYNi/IQJwNYg8US6jHg7\nOuMoyjGRAGS0MKBbBSghyDEp+hzXz/rEUvhQZ86ZB3r77+BaUaDlH1hDgfVrVmK6T78m3QXkOUE9\nal38E+CJYoKlVe5i0Y8fLdEVr0pcr9YHQPJtegjAseaP7P8/ujiGre19SDhe5gFkQJJ6YrpAOQLg\nzOmVmD+mBKW5NpK+NUodiItjg5/tsSwvgjd390hgty9/5Q8iBqWghOnR70MgU4Zn238wvEQ9tAiZ\nYGDLzwdauEjLLFwuhuLqxDshRoHpFQOfADSMKMroepQfNVGeF8G7bT0pk0xRp2o91sCqeLqE60t1\njAoYNJQJOwn6gwjcVfsJU3RPfbXK+JHaLia/67pNgGcJollma3twTURiA7EjAMLKu+mv/AlQDh8o\nM6KXqdVB+OTeY8z3sVbvXjDh0H2pifRjCYN49ZMSnkwkkzguQ9TkgdQR05CrbQYFDMLfj4hJZaHC\nlU9ajhmPr0q4nh8vElDiAeDZfsWtydiKg0OOAGQENCcC9BZHLXQlXA0Me4qJLADLTP4GgDd8ijYn\nmcTDd1i45s6H0DDy42hubsZHP/pRxONBRrtkguHl5S9i3tx5clssvwiZugw7+1rgt+cB0BOLrGl5\nJe3xa198HieefSHuWLtnf27FgOVH/9qE286+EOMmT8Vrq5vR2d6Bxza/C5Q37Vc5jpMEMIBB6dYL\ngcvvy7j7lRUvYMOaFbjurkU49uj5mDClBqubl6JqWiOm1jfhuReW4idfWoBkIiHPefyBP+P2B/+G\n2obZcD2GZU88ACw8Xe7/1xOPw8kpBjBMq8v1GNp6k+hMOMgxDcnKQElA76YrY/iKgsiocArFYuYf\nN33WbJx46hl48qE/gTEG1zCwdsWLmD5LuadCEZJg0JGKN40/jaaoEUR3p5PAupEKT8KDiVB4nhtY\naJVTtfNnVhVg2dt7NVf9/XUN2Nehw3Jt7OqOI+kCe3oSmFyeB0oItvoZDSkdGhaGbFchnhFPT863\nDFWg3lCIChzCwCqbMlgrCf2JCAY0FDaBbLOPAGKyzO9n2CWp//MG1rb0bg28p/JU1hLKBsCZAJX5\nEbT3OfBCzAYpE2kW1CMozNRDAoCo069REoBpcb8dD1DX3AjRS5LAm2TmQRYVSF2ZzkeY6IBcbJf+\nyGrboQNd8azeae3F+JKYxgtOCaecVScIKjBXxxMoZYeBvNXPpTEwnswJBFGTj1sm5eVYZpDQSV6f\nuPf+GEjA/d9BCDyPSV5q6t+qjlAmv4NZjrBYAHhjV7fmHiGtP6rbBVMsxuI3VD9lhnUhirZXVy2D\n5zHce++9GjgGAOZ5KCgsBsATfjzyh5uxdfNrIOKl/OgXUxuaVwrPdSWd2MsrV+An/34n7TVtf+dN\nMADLt/ak3f9Bpa3XQdJ1MWVmI/ILS/DoA/eBNX16v8txFMDar/R2AG+uSL+PuWCeByeZxEvLlmLt\nqhVY3bwUDXOPxuSZjTAIwYbVy+Ek9RfTdZJY3bwUPQkXzz6/GG5PF7D9dbn/n8tb8K8nU6ni3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kgz52OFpbBUA4nK4sHUgY6mlbVvs/AWxK0N6XRI5tSqPAYIpgx0hTtXSwmFk9cJctQqAxEE0Y\nlguPBTzKNIM+DFzjBChlUtenu8eUENRWFmBXVwJb9vZwdzipisN+yX7shj/eCXc+4e8cvqvilzD4\neky0i2n6gYTGI/WcsFgmhUGD0S3giybSb0LLACjaH1BdSxAsqw31B1HUoSBHALIv05rmAmv4d++S\nO/H4b8+B5zgwLBvbbn4Yw0aMxclTyrCpZTV2bduaAoLCsuL5p7Bx7So0zubMC4sXL0YykZD+pWuW\nv4jG2UfhY6ecgeWvp7oOHArieEGGwf/85z0MWC2+8Ecg0attIq89B7b1NaCvE+jrAiEEYyZMwpY3\n2vovizEUFhVrL6wW1SxeWl/RmJRnkxODlppPniBzKmYA2Pzqarz4xMOIWBQnnLkANfVNaQY+rpj0\nNM8hcnhFQ8h2SoAbRAKLc9IFs4l6xX5P0qsEAXLC30weTwCPpLEeEB2mqylORCT5hLI8vNvag3SJ\nGSklGFOam7oj3OaQVWKwRX0GJqXwmOdXdnjALQm0DqUR5ohApJrn/TMAP0ORuGaoJGIasA1PmheG\nYlIaNgTsT9Cv4K0Xok7sx5XG8NaeHsSdRBqLaID2KAE8JgwWokXiPfXjVPzxqDhm4b02AscL+oCG\nMyUYVuvSr0nX24GhRKxoeq5fqgqOoZcHAISRjO5tRBmrCPSkPWEFLq8RQQIU/XgfOEPRzf470J1w\nspq2frDkiIsF+FgzqbZR2+aaEQ5ma47H7zc6uPaZN3DhDX/Gl849A8888mcwL43FtHA4UDkFMG14\njGH9ymXS+nncccfBsi0QygMYikpKAACfPP9z2XOH6C+t8CDIpg3rpeXy/a0DDAh8+2Vg9WPy5+gJ\nk/Cdn/0SNTPrucW4r0vuO+b4k2GY+5rDEax64TltCyXcwqu+6ATwSeN1HlI1qQcJKaiwXLtwAf71\n8J/wxF/+iP/+7FnYsGYlP1UFmETVI4qFQFgCRHuU71CPAz/fNoxAEfmfjDFJI2Yp/rVjS2LyOAKd\n41LYoAN6qcwDs9oeoWIpgbRojCqOYYxf1weRbA2cBlH9AxX6puxUN+SSmmDm8Lk2IQJYHUbYUQv8\nUifmQ+Uen20/fKHnbEPVaUMjB/oONIwsQnl+eqt0jmX4jFWBm14ggWFDVaZNFQAAIABJREFUUNjJ\ntsj2kJR+bBkUE8tyg2PUcUL5VF3CiPIHBPEmjEHTbQblbiwE+nsTfE8F3hndl4RxSWmDdn3KP79k\nuTNtu4n+XXzs6Tk0sukdAci+vN+pZ7qjVoR3IiURx9vtCSQTcTDmg2NCgWg+YPn+UpfcAZx/A/C5\n38GyLExrnMu5k8FZLL7yvZ+CUgrP8/CrH38Xr6x+CZ3xzK4aH1hO/br2c7Bptfbu3YtNLavAGDCs\ncsQ+jydL/wjriZ/C9H1+TdvGJd+9ESd8+kJMmT5TO5Yxhv+983f4zKVXpCT4CMvy55/ilGhQXuLw\nTFYCYB2oai8wuHU5kzjJhPI9ibUvLdMHBG3mrmqkVGUXNC4Ekv12mkrwneWbtR2PSQBYrywn8uVH\nXopBCYpyLNgm1ZTwsFxb/k4XeCKUqxi4TRqA6pFFg5NhTERyZ0uiluH7SwcgWYCRw8HgqoLioQYi\nQydp36BDWvIjZsAFC94vRT8dCrGznJxEXdkIVr6G6ukR2YZBLTWNnqT+Cyjevclleb67Gv9TmYAo\nSZ0ERXzGH7XlRCJH3idGFcW0d1x8IeAgGOAZAfN8AG9Qgsll+SjKsQKufBDlmehGD/XbbWfXplx3\n4CsdGieV+5IKtkWdqe9sGByLr1GTDoC/6sOXIy4WvvxyyVvab5eYfLI4SulElZOBvBKgay///dVF\ngGECzAO2bQyOKxyOn939MEZPm4V/PPgnXPfvJ3H+gnPQ1roHzGNgzIOTTGB181KUT9KB4aDK5GO0\nnyMLo3i7tTfDwfsvL724BGvu/zV+eMeDKC6vBHbuyHjsjOQW5Eb34mM/uh4TptRgVfNSjJzRhBmz\nZmNrRx/mn/ppPPaX+zQ+ac/zkJtfgGvvfgRL//4w2vfswnvjJkPLvUc4/U/LimU4/9Tj9Vm0/7Kn\nIwGSSsCnrBE+wtH+ktQrwjmW52kFakODAn6lq4M4hkBZeuJMGnEl1XMQ9csLmVlVAIBbNgxCUFkU\ngRlaIuPXyZVs1KKoKy7Ay1vb/fMoHyTVm+JLmc+4ILJTGZSXw5cPgbI8e9CSbBT7QTbdcRdhRToY\nkhcxMaY4hvU7Ovkg5d9B0zj4MzYNRNSIcO42NHQga6hEvK/CB/RwENOgGD8sFy3b2mW/n1ZRMGT1\nl+XZ6ElkmU6LqIw6Q5faXfNTGERRE1z87wWz0BFPYkxJDHHH06qrGZ6PV7Zx+kqetCe49klluVqS\nkohpYOrwfLRsE3SXQeMJgIr8KMrzI3hjdzcAJscnISLQMWoZGF8aQ8u2DswaUSjdJRpGFGHZ23s1\ncKyWL2oUG4rTBD0qu/UWhu5xyNtCccrzf6tjr1z1ChSXQQ8No8URCzIABobNu7v1jaPrgBknAqWj\n9O3zLuSfxdUcHAMAoUB1jXbYqJp6/GvRffjd1d/AC88/iy9ffhk6O9ph2hbI+CYYOXlomHs0+pJD\nxwN47SlT0m6nBwgf2IgZSCYTWL9yGZx0zqmKvPbHa/HSi0vw8x99BwDwuS//F6bXN8H0LZ4Vk2fi\njoeewHEnngbDMED9bIMT6+dgYm0jTjjzXEyunYWRY0P0dU4ClmVhpqREI/JTwcn+tjQzYPWTZE7B\nqcqU2ln4+Z8eDVgm5Aw6tWwSbgQUkOzD59HFMe5/hqAcKOeKJdK8iImGkUUYWZzq5iAsN9WFOTzx\nh0ExcVguxpbEMKOyAPnRwIolmjKlPA8PfbZBi5SOmAaipoEZlQWDPshNKsuTVpBsic7PyX9PKc/X\nBqpDVaIWDbKwEfVJHh6iUoSpLDSHlfjAYSB6ZrCksiCK8cP2HSNwoCJ6IlGemeoOlC0pjJpZm0RR\nAfgJwAjDtIp8uQoHBLo5L2KiujCKkpglUytTQlBREEGhv5KnimWQQNcrfUEwAAnR3RxSL9KkVHJO\nyzaH6PXCIgCzsPhmJP1QDUzKMyUIxg91TFXbq1metTE47EZ4aADkIxbkTHL85cBrz6Vuj+ZxQPyF\nW/s9Pel6WP7MP7Rtb6xfh6/97kHcsB6YUUpR2zAbG3d2ZShhcGVWdQGmlOehMj+C7SF3ks8ba3GX\nW7//hdafDvb87TALS/G3197PfNyiH8Dr3A3GGBxwy7k9ciqKYzZ4sgOCtl5g3PRZuOnO+7B25Qr8\n6/nnMbn+KJRNrMXb617G9y49B8lEklPhzThJFj1jTCW++MVHMb0+yHin+Z8SwtOF+1ZbaU0WL6/y\nyU8AfnLKFHz3n8qKgC8iO98V370GNX59qUwU+idXSCyIXvADN5hvARRLWsPzI9ja3pui4Aaq/w3K\nB0KVCqlYsfwW5VioLIjivbZeEACLPjcL5blREAKeGhYG5y9WrB6Ty/IRsw9BYOnfQzFA20OdnSFL\nIvwY127tSBmoDgfJsQxETAonkd2kFh+WEH8tKbSIc8iLnMgr1kqeoS679U4dno/l77QiG2/CsFwb\nu7oT6El4iJgG2vu4K6TriSQZQX2j9yMug2dg5fcq6XLAPCw3guH5tuSKF6t3YqUx3STANikmpJ30\ncCutAMOmCOCGYsH1P60MD0i1GIszAN24xBRTNFEHVqaUAShgWWseZ146BNb1DkM1NIhS87HUbROO\nAmo+us9Tl7/cgjkfP1XbNvfE01A2jlua33c4eNmX5XWw5W+XzNZ+G2v/hqPnHTWgcxcUbE/dGInh\nrfbUayAP/A/wzlpg3TPAu2ulVRiEILegGDHblDNpbrWkeK+tF7u7E4iMqsE5l34VNfVNyLFNrF/d\nLDPMsdZtso7qwihu+fblOjiGDlLDgDWNQVcOWAQ8JfX40vQKb3rT0fjit67B9FmzU2bR2oyf6MqE\nKNsCxaNYWijB2NJYMNCk8f3al9RXF2FUcazfyOCYHfjo5tomYraBd1p7Net5REEm+VFz0P3Wm5ub\ncddvf4F1vs94NkRa6A8zICJE9BPrQ0iEkk0xKF+WJgBmVg1+lsUPWw5HgzgXous4AGOKY1lfAVBp\nMAe7JtOgGOa7n5k+2N/RGedpmD9AfSLt8oxK7mIzs6oQY0tjWiKlyoKorCFYEU0tqziD65u0FAPS\n55mASIYm8axMqo8Vdy6oVSbeaiAeEDYD6bo1qEOer45hcnwNDicgaRmRDjY5ApBxAP6Jgq+3H7l5\nI0P1+Mm47Ac3oPHo4/D1a3+OU865EL2+L5hYYntjQz95jQdRMl3jHV85W6YzTpFbPoN5//kHJpA9\nuPkoG9+8eAEWTtYXHey8IlSPn6yfl4xzyraHfwA8/RuYponzL/0yiAhQvOY7ePPV1UEZfjY7Qgh2\ndcWlJSlqUURNgrrZQYY5a/2TKPWDj0+YOExZ4gnQqLrcI/bJWXEINYuXXwghJH2ykGQc615aijuu\n/z5eW7NSWXaSRYVcLHjJKdQ96mACbmkJLJyaCvLbk9qUdDIQIFuUY2FEoQi48wG6DGojmFaRn1XA\n1dzcjOOPPx633PQTfPUzZ6G5uTkr9Wj+cYchKBHXNTVLmdE+TDEphUEz01AdqsKkFU/XN4eDSECk\nvHgD50MfhPrJwPXkgZQt3CYYY7xfEm7EOBCARylBfXURIgZNGRuECKagAwl3NBQrjEEJCv3nQGmw\nWmmbxB979JLrlEmpZtAJWZPUVgkck/Z4ddyT43Jw/I7O+EFvQz68tNBBJm+1vIQTzr4Q197xAE5d\ncBEYA3odDpBF5/zHK+/2V8SgSXdnJza834muEGuGAMefMjboJzxxPdDXieaHbsNbv7oU//3Zs/DI\nn+/Bu0v/rh02bvosrH95hX7u786TXymluODSK/D6+lfhuR6Y58Fxkli3slnyN44pjsEyqPQ/5Ik8\n+PIQIQTT/QxzX7jqf3DTPYtwdv1oABz0b9nTA0B/hzVgRFLf1+AzzU4AZhqtRW85D57nIplI4J7f\n3ID1IZBMZKU+8PSLEAZdohyn+m2NLcn1I5J1/J6tIVRMFjzG4DEWcC4PwZi9ePFiJBIJeK6LZDKB\nxYsXZ62uwHJxeIERIQQEscPArzostkkxZ3Txh92MrEgAJJUJ/SEu3Fc30IPCR/7DaEc2RFwTwMFt\n8B0HzMhjUL7yU1uV3+9EMDD0DLxsAYRNSlBVEMXo4hwQEFh+xlgAKMuNSPc+Vfb2JJB0mdY3Jamb\nYnhSpbIgIqlHtbYrX1Sbu2rQitnGkK+g768cAchZlGkNc8EYd6PwfDedvoQOkNeRyiFpyxsbX8Nb\n69agN+niooZqAMAZ04bL/afPq9NP2PIyAG758FwXyUQcN3z/G3jy8Ye0wza+vgnrVr+kbbN8VEgN\nAxcu/AoeuOd2rFz6bzDmgVDKg+pmz9NefEoILEpk8AHxZ+nUB7E19U34zGVXgQB4/ikO0t/fvg05\nlgGVvD0IgAuBZmXJR32fA0qcYNmIpskWYhgGCKVgnodVy5bg65/9FKeWC2kMMVRQwq3HY0tyeS2a\nlSMYQjQi+BBxL1EbOphCgM4+h7tXEJLC55ktOe6442DbNgzDgGXZOO6447JST+qzz0o1H5pk02J2\nRLIjEhjj8FrUUAPDZEzFEPZPMU6Y/WV4GoTyAcXAAZ5k5INOUFW3ipR6EV4BG9gNLcqxQAnBmJIY\nRhbn+JSqwh0rxHwUKrKjz+H0oEr96Z6l+rxtgypuHAGgFsBYHVcDqOy7f1CCdOkkDibJKkBua2vD\n2WefjSlTpmDq1KlZW1L9oPLamlVZKXfk1Drpze56zLcg8x4huG2TQ9RBGGPYuLoZe3qS+NJRo7Hq\na8fgBydM0o6hL9zNvzz1axQX5IIqPkoMgOO4SOnRhgVYYcL14I16d8tmJJMJCY5r5xyDn921CDMa\nZgfGW3/wULl3pTVCGVTWr1mJ/3fRWdj0zIMAgKdv/j62rF/j1xjMUFNmr8q2MHBKmRWnmVkDwPFn\nnovaOcdIkJxMJrF2xYuynLCt0qC69Vj/Pz34HZ4f0YMZUo4YHCEgsEyKuOPCouE2ZU/mzp2LZ599\nFj+4+kf451NPYe7cuVmpR3WxONyAZHY8Lo9ItoUdCiH7ByDCpxZhPTrEMjZD3MhgiKQBJYGOn1SW\nm8JQkZW69/N9n1SW57vtBefMqMzHpLI8jC3JwdThgkUojZ2f+C4aaSY5EuAS/cyKgijGCBYm5bww\na4WaGRYIVh4O9kC9fbJY3HzzzbjwwgtRXLz/y15XXXUVTj75ZCxatAiJRAI9PT0H1Mhsy6srlwF0\nYIFq+yPrX12LuvpZUPkO+3wXi4hJEXeGbvpEKMWMOfMQMSl2dycwwk/+0N6XxPaOPixZ8m/g5b8C\nKx8FpRR5o8agrXWvPD/IHBhO6m6kAGTH5zL2XBdLnnlSJvowLQsXfeUbmDZrdvDyKMWZBoHjMZnY\nQbX6MgAtK5YhmUjw4L/fnQ8v3o3n//ogGmfPASEZ+I4JAMZTPxMEig5KufI40Y40+ugjp58DgxJs\nXLMCyWQSlmWhbs78AJgrZTDG+TEtg6Kjz4FBib+UxCN+Tf93uJoxJTHOZKHsycYyOiFArmWgN+FK\n6/tQAcm5c+dmDRgD+hIeWOo9PlzkcAT/h78QgLC0S9WHqhTmWKgqyPFpUj88ho7s0ebxCUB30oPH\nfw7Jeyf7SIgVYiAycVgeCqIBtBOWahsUMRvoiru+pV8vVbrbKbWFjScS+LJgb0GUJylxHb5D7FZt\nQAblgDjuMLmdEgLn4MbH+wbI77//PpqamjBr1ixcfPHFOOmkkwbkP9Xe3o4lS5bgnnvuAQDYtg3b\nHpyEA4Mt+UXFQMe+j9tfee2VNaitmwXGuM8nA5MGWEKAbR19g19pBpkyZSqm1zfC83Qfo+0dfcix\nTYyrnQPLspFkcXieh/fefit9QSFLCLFsMCuqbyNEAk/GGD7yiXNRVlmNhrlHY3p9k5YmM5TFHkR1\n+geCF5kx1B01H9Qw4LkuEOe81WqGKrV+vzRZFmPihQ2WeUS9RGkIj/ZN7d9T6xsRMQzccM/DWL+q\nGTNnz8f0WU2B9ZioZTKplEpiFiaW5eKNXd18FQEEE4blYuPOLs77muZdUsuaWZ2dhAIG5T6sgYX+\nw/EdzI5wOi1OUn/4gBEAchn7IF+ZPCJpJNA7h1OP5ImIAEhwfLhM3Ijyl3A9aTEeimsUQYDEtyBN\nKhs4j7VIKJKxbBqMm39YMBOXPNgCQNeVPiGhrF/ts9K67O+yTZ4I57UdnWkANf8+rjQXJTEbL27Z\nCwGiDwU//H0C5GuvvRbXXHMNnn76adx999248sorsWDBAlxyySUYP358xvO2bNmCsrIyfOELX0BL\nSwsaGhrw61//Grm5+oO+/fbbcfvttwMAduzYgW3btqUrLmviegyrdyaB6L6P3V9p27sXva27wHyC\nf8f18PK7uwHwtMUb301Dm/ZBpHUbUFyVdpfNkki07eF1Mw9tSZ9mrrMPSZNi9NjRuPHWu3DLTT/F\nxvWvZq6D6UNz1aix6Mwfrs0vmuZ/BKteXAKPebAsC/M+9nFMnl6HqGGgu3VXkHEJ/B3bafSga28X\nki5DwvVALEPLpmX4L+voUaNx+Te+j1tvuAae58EwDCTjvVi5+GnUzKzHTtaFztYeuK4fMU4D5kcw\nfZmTkID2RrSE+X7iCTc1eUtv6244BsXoMaMxYdxYMACde3bKgBtKFKUCYFtEn/xE+uLY3Z1A0mPo\nsXrRuacTeRETHWYPOhVF0bGnA4wxdHfsBaUE2yM6Z/UHlb09SXS29iDpeujodWCbBLANJE0T71u9\ng07rNtTS0ZdEV2svko4HBk7XtN3qG9Lr2rVrV9bK7ku66NzTA5d5g943/q9Ltp9bd2sPEq4HgxBs\nt3sPCYAwEOnsS6Jzbw8cj2eZixsUO4bonUu2d4MB2MUGf3U66Xpg3X3o6o7Di7tIUIKuHoqEQbHD\n6s0q00rHnk64Hg+kJoQgESnAtkEy4rX1JtHV0YfepItC14NJgfkj89DbtgvENvw4IAqA+RzKgemE\nEp5t1fX4+CzGuV6/fzu+BVDw/HMh2Mm60Be10LmnAy5jcD0Prgcku9uGHPPtjwwoUQghBBUVFaio\nqIBpmmhtbcXZZ5+NE044ATfccEPacxzHwcsvv4ybb74Zc+bMwVVXXYXrrrsO11xzjXbcwoULsXDh\nQgBAY2MjqqrSA7xsieN6WB6dnpWyt2/bhmjRMMRsA5QAW9v6sG7XOwAA07Kx1xtkVP7PnwMX/Dzt\nrtiGp1B4/tHwGLCrKw4nx0ZpzEIb7UXMNtCdcDFyfhWK77sXCAFkwzThuS4HmH2d2r6te9oB6Jyl\nnmHj4m//BL2dbahpnIupMxsRNQ0Z8GAofq8egOGVhdjmtcNxGfocF7m2qSXSEGkpCYBzLrkC42sb\n8djdt2Dpc0/h6ccXYfE//4pf3/comqZ+FG20W76kIjWvAL6e+EL0TE8+PObtYUDScQFs0e9fcRmi\nlgGTcvcYEXxLEJRF/euKWQaqKnXLbxU4eFu/oxNVVcXY5rZhWkW+ZLAQsiUelUC+oLQcVVUlaZ/n\ngYrRGUe70YU+x4PT6yBiEOTaBnIjJqqrig55Xt28viQ6zC70Jl2AcYBcWVmUkpo725ItPZZ0Peyl\n7Yg7bND7xhHJ3nMDgPIKB2u2tsM2KKqrDx+mjtaeBHahEwnXAyUE9hC+cxUVXHO/v2N7Vp5dfmkC\na7e2I+oyuIwhx6SwTYqKyqJ+Oec/qGx1WuF4DK7vcjiY73oVgPzWHmzZ2wMz6WL5V0eAMYatHXHk\nRww/8I6isiCC99r6pA8xYwGvsscYZlQWIKq4AMaK+/DWnm4Epi/+SQnB8PI8FMdsvJvIgeN58tr6\nTDrkmG9/ZJ8A+de//jXuvfdeDBs2DJdeeiluvPFGWJYFz/MwceLEjAB5xIgRGDFiBObMmQMAOPvs\ns3HdddcNbusPcpkx5xgw+F4JBGjtTWr7177x9qDVlWcCJx1/NB7ZvBxsQsifesNirHz2brx21hmY\nWsfTO+/uDqxPxPc9WvLiMqxc8mxK2Wd+9kswcnJRWFyKRFc71kX2YnXcf2FPuFI/uG07Vj7/JFqa\nF+Mndz6EiTMbpNsCARAONibKZ0qaYLFdvHAKdnvx+ae5qwWAZCKBNctfxKdO+miK+4Qoi58e+CKH\n6xcvM29jesUuwHC4bGEpiRgUMyoLMi6/CV8tAqCuuiCjgs2+YYm3wSRBGmuDHB5JJ2KW4Seg4U4W\n6VxYDmWxDIqp5floGSxz0hEZMhH67DCjeJaiWxmH5r0bCp0lxiYDYozKfp15ERNtvcmsjQW2QUFA\n0NbroCTH1p6XMEyV5UWwrT3uj3HceJRrGyjNtdHe52jgGAAKIiaC0Tr4VPuDaQCOp/snH8yyT4C8\nd+9ePPLIIxg9erS2nVKKJ554IuN5FRUVGDlyJF5//XVMnjwZzz77LGpqaj54iw8hafzoSTLNI2NA\n3A3cExgDNu9oRdj6eqDyzOXz8adbV4JtdNLudx0HLS8tQ019EyyTwk0y7OqKIy/C89lHTIpNa1ZI\n0CmEUIq8gkKc8tkvywQeb+7uxupH16VvyF1fAsBB66urlmFKXaN0QQAU0KtGtEHdp8BX330hCMDj\noOfVlc1wlXYSSv9/e3ceH1V59o//c59tsidsYYkoRRFCQvaFAcQggvrYoqhVrBZbbelitX18ftVW\n+6vajWr9tdr6fXzK09avLa1oRVFLpSg2yhIgQAKCQtWKiiwCsi+Zycz9++Msc04WFpkzycx83r4w\nycnMWeZkZq65znVfN6qDExCJSqiKQERK1yUee23SGbDXsS7VDqDtmtWuuEfomjXH0tl1TREYmBtA\nYU7gpC/YNUPNzFFA6SY4hvXikoAXD0012+gJITB6UGpMOqGpCkYW5mDdtgOAAIbkB5K+bKSjqETX\nk9lQrydE7DUgldilZnYSJFXKR2zmy755TIqIJUr8MnJADlZ/sN/XbQhhfuDedagNQ/LNq9nuDzmG\nqjidmIbkZeLA8TD6ZhkYkBPAgJyOnavg3N8elK5a01y7H6+KIfnm9OAC5jTavh7hmTtpgHz//fd3\n+7vi4uIT3vc3v/kNbrjhBoRCIQwfPhyPP/746e9hEvv33qMoys+EOTxPeLpWHDl8EMcC+UCcxult\nbGlGdXAClC2vdzmARwiBirpxEDAzneH2KAK62cNQCAFFAmW1QTxj6AiHJGTU6llsGCivGwdDU5w3\n5VO5dCaEQFndeLO5uh30itjvnIswroysE8fYv0QsoHbLK+jjCayvvfkbCAaD6JOl48Dxduw+3Obc\nyZ7X3h6oF9u/2AAC15Au2Fnks/IzsO1A7OTYv1WE6xOyMJfmZ+pOV5B4sB8RP148Mq1zHmo3Zy1z\n3tR6+yvVabI/DJ2Vn5lyb9Y5ARWjCnNOfkPqhVLrbzEmdpUv1a7amEka6VzEtHvc+8lOtNjvUX7J\n1lUniRdLXJkJE1URqD6rAFFpBr12EN2diJRm0sV6s1cVAFHz/dHuxmT3ZUYSBMfAKdYgf1oVFRVY\ns8afHsPJ4LcrP8AFw/s60dV7777j/O5fW7YAg87v/s62lheBpU8Atz9zwpt9fcY0PPqX5zF85Gi8\n00USue7CqRhdWQsAzqx1qjVTnf0kLKmsxY/+92lsWL0CBX364eihfSirHYeSqjqE2iNWz0vh6bHY\nHUUoUADnPk5w3M3thfWscV4M7LvYmVspnKDn0IF9iL0gC+Tk5qPUqvkdnBcwy0esNjSKtd6otIbQ\niVgAav7flVGWVngsJB763GjMmLsutn/W/+yaaLMjRfyf5H6/t+Rl6BjRP9u6RC9dmf1keLk6dcly\nCe/TEEIkdCpfio9e3tHqU/NOwiRQURSfq6K9hfOWZB2kqiSotMOVKPJl/bD6E1vjkuxxOAKuqdGF\nwKlerMoNaCgdZLY3/eRoGIU5BtZu24/P9M3q9Hi5Z+frzXwNkJOB35OX2IGHlFaArJ5n/pw74OR3\nDrcBjb/v1Dmikzf/ifZQCI//9yN4N6cK6FCDLBQV13zlVnuHIKxPhHbzbiHMHoiKIlBaVYfzymqQ\noSkwXJliZwIPgVMKkKMyig3NK1BSVefMAQ/EXkzt/fDsp+tfbJn1siti/RXz+/SB88ohJfL6dBzA\nELu9EOaMPaF26Y6pY7d0BYiKYp6ndgAZ3TaBF07PzfaoOa99/+z4tS90ekDHbY3dc5+LVNPxigFR\nT4vK1KuJB8wkiKoIhKOxK3MpRXguaqJscOI+APj152KXEyrC7OS150gIfbIMCAB5GRoyPsUARHP6\naDOkHJhrlmCUDc7votuH9f6cBK/PKTpc4NS9/tprvq6/IFMzB+pBovBsV1u87FOoQ9v2Riw4Xj63\n+9st+hUAYM/HO7ucsam4rAKllbXOE90Ocu3uC/Yye1YkTYEzM47das3uCOEelNYVVdOgqKo1nfR4\nzyxLzr2EK2Pp+mJf4nElkbt8wT20bx+ENZBOURQcdE1o4lqlFdSbNX99rN6Qdg2xfSzm7H123Vys\n5KJjGYm9H4oAzu2f7Tw2A3MyUHCSvpOnY3BeILY9H99p3Ocj1bLHNvvvh6g3iMrOg5RTQZahQusw\nwUTKcd7DEjM+BIi9F/m4BUAAe4+GYWjmOYQAzuufHbcM+QlnG0yC7EwKPl1Pz8QLL/R1/cfCUeeT\nZ/6gszr9vvtMJTChZHjsh1VPd3kbZcVcCCGgGwFMuuJ6KKHDnW6z+Y312NwaK3WxA1H3bDqx4NTM\nkDoBmitAtl8kFNH9PtdMnIJLr7kBP398Pkqsko5O2WPXjnQKlIXrkp0reHe+CiCvb18oigLFqpGu\nHDveWWW2oWFoQSaEVQNVOsgsvSgelOtsxL60pKsCZxVkYmBOhpkFEVYLOuGto1v01XrnfmaGNzbw\nIN4DwM7uk5WYF2DX+QVSMZBM3BsZ0akIaEpqZpAVgZFWTXzqHZ33PSqRpy82kVP8N+pOkBhWyWUi\nx2oky99J2pdYBINB4LmFvq3/aCiCnAwNkEAo4s3uZhsq8gIadhxszI5uAAAgAElEQVTq3PC/jwGU\ntb2L3CuvxUsLrOB41dNA/bXQFIG5X6jEsL5ZePOCANY2jcTI6rE4q7gSQ89fi3vXe7djlzuUVtc6\nl4oUd+2tXXqA2KfWju3M3GUSJxqj19y4GLqhY+qV13UoZXC9yLieHh1vIzrc3t4fe0DcxnWr8X9+\ncg+ikSgUVcFtP/gZSqtqnXWoikBBpo7tB4+jdJC3T6M5YE84gyxGFuY4fYiL8jPQHpV4c9chAFHP\nJ+j+2QZ2Hjru6ajRN8vAvqNh5AT86oUZOwf+rN2syU7FLKud6Y/KFDswSmqZuorqoQU9vRu+ca7A\npdjTzn6f7DynnL9GFuag9aMDiPhQimAndwTMq8kRJC5DbsccIglen9M+QPa7BrktEkU2rIkqot6/\n9KEFmTh4PNzl/Q4sfwaPLfsTNF3HzK9/G/96cwMuuqwa066f4GRAAaCsug5l1XXYdzSE4+1R1NbW\n4qrIB3h2405nXYqioqJ+HAA78JSxTK2rnsF5glgZUvtTpmva9ZO+OESjEYTDMAPyqlgG2X0/Z5uu\nJ4jdGyLWJSKW73UPVmhdtRyhUAhSRiGjwMH9n3TaJ7u1TMc+jaoiICMSigLkZmieSToURcBQzHri\nw23tUITZyeL8Adloj0RxPBxFjmHuUzQqMbxfNtDvJA/GGRAwg3ZfneI5TTaKVS8fZREyUcJ4Uyqp\nw/3+lcij01UFfbN0RH0JkGNJL01VICNRp+zQb4oQiFjTaPf2v5a0D5AbG18DMMa39S/8619QW1GK\n4oqaTm/YQwsysGln5wBZbz+GcNM8QEqEQyGsbVqG/7rvZyirrutyG1Epcbw9arXtAo63ewf11Y27\nAKMra2N1vnCVWCD2pHe3MgM6vyjY91NPUEhn1x9X1I3z3tn6vuPloi6fIAKwEsbuXDNUIZBf0BfS\nmikvGo0ir6Bvpyd1XoaG8wd0boM1ODcD2w8ehyoEBpxgYJ2dBfnvq0oxOM9s92bXZylCIMvwbwYl\nt3i2juvIldD3fE0F9ou/WUefSkdG1Ds5VxdT+DnXE1fbzu3vTzvH3AzNeZ+3OzMl6k3ATnglw19J\n2tcgP6dW+rr+55+ai/u/ei22rF/T6ZPg0IJMhELe8opBWhvCj30RaA85yzatX4tZ134O65pXeW4b\nao/icFs7Pth3DEdCEXO2OiE6DQQ5Z8jATllch+gYAFtZZifD7G4FF3tCdefG2+7EL56Yj9FVta76\nVuH63rU91ydWux5WseqgvTXJ5jY1FTiw/xMIqwZaKAoO7vcO0LO3l9/FwLmhfTKhKsDgvAz0yTpx\n5wkBQNfMPsHhiESGrkJAoHhgjjNS1y+qNXDQT+4PSqn2fqYpijOlORElhhCpOQhRuN4L/S59S5SA\npuKcPplWoqxzssxPquKONRKwwTOQgn/Op6dlT9czz8WLFALt7WFsbG7Cv3Z7B9ANzc/E0SNHYgve\nb0XfxQ8A7Z2zyu3hEF7865OeZR8eOIbth47jeHsEGZri1F5+8PZmz+36fbAi9oPridAhudvlJXdP\nIGV9r58gQp72pW91ylab6/GOco79Trh+Fq7Mpvs/M3Dunx1AZf14GAEDiqrCMAxU1o/H6Tytq4oK\nnE4R3fPmue3JVBL1ZB49MAfn9c/2dRve7iC9/FXqNKmKQGVRPob1zerpXSFKI+KEyZPkFXs/SFQZ\nQqLEkiTW+3AXV3njbVShPWtr738g0z5A7ui6iiFxXZ/QA9A0HX1Lgti0q0OAXJAB4S67ePW3KCwc\nCF3vum3Y1ne24PFHf4kNa1c7yzShQFEENDU26O6Dd7bE7rTmWSx+ypzB0O5S4Q723E+QWDDsCmA7\n/g0LdNHXMMYu/Hfd3Jsxhjdr3Gn1HbLK7gxypq5iTHUtfvWn53Dzt7+H/++Pz6K0qtbpS3wq7Cz7\nidiPyf5j7dh/LOx88HBn0f2UZWgnfIzjyf0BKJUoiuh2OlQiij8BYIw1YVMq8VxhReqVkHSVMPNT\nTkBzfcjo3Y9l2tcgf7ssC49sOGr+cOwgJmcbeCqO6586fQYuKB+Jg33PBba86/ndWQWZyMzJwZHj\nAF77A/QjuzHzG7dj5jdux/N/fRIbVq/Ae+/8y7n9ppZmbGpphq4beOzJBcgbPgaQEooU0OxrWwLI\nyHJnHwX69B/UbcbYXi5dvxAdh+vay1yB6w1VRfjzuo88x3Nz7VDoqvDe1fXJNPY1tkV7+mp3UN4x\nMLczy7lWx4jSqloUV9Q4NxmSF7/BbJr1YSMUMXs4Hg1FOrenSwnCKX2x+0UTEX0aijXxVOBTTDDR\nm7knQQFSK3sMwHxvF1Zpo+gYJfi+6V4v7TPI778bC0CxfwdaVy7v+oaH936q9V9w6RU4v6ym05SR\nWbqKflk6Lho5GADw1YvK8dunXnS6Unz+jh/j5h/8Arph1soKISCjUUQjEbSHzYF7/1q/Bs/94VG8\n88Zap/sDAIwqLXO2I4SCq275putnb3DsLIfrZ+GOjWM1we6ShytKBnY61s+VDIQqlE6XbdyBuHs/\nAIGas2Jtj7oK4oUARhXmoHpogVP76w6ihTBri+NlQE4ABZk6BABVuKYUFegy452M3AM0zZ9TL4NM\nRImjJWDcRE/oOAlKqr1Mdix7tCcLS8i2k+CxTME/6dNTPHJk7AchsHPHtk63aVC2QvzljlNan7ri\nT56f5/7215jz0+9h67/f8SwfMzgXQgj858ThWPTVegTHjcPCZ+Zh9t13YMPa1dBVBeU1dfjmPT+D\nqlmz8UkJoSjQdB1H1Szc99Vr8eSjD+JHX7sOb7U2O4HoLRdVxPb9kv8wZ9EDYoGvOzvrSt16yyzs\ncoxYXVIsC9x1JwtzuuZYBrm7oNh9ySrWb9j8ak9nbQfHAh2fSMIZ0OdHXldVBAoydECYL/rHwxGr\nb3RsH5OdnRWxH0Nmj4noTOiq4kzKlEp0VXE6IqXqa6W7xE5RTjxTbvy22XFUUu+U9gHyRx+5AmIp\n8dxfnoD+pDcYnjl+JLTQEXRp6ROxQXULf4Hom695fr35nEvwyjN/wvzHH/Ms/8rZZlmHrirYvrkV\nX7vuc5j/58cxf+7jmHXd5/DuxrVQFYFDB/ZBRiVgBceldRPwvf9+Em2HD6A9HEY0GkF7OIz1q1c4\nf2x73nkD9eJDAMDunTuwZcNab8AL4QlgnU/H6D4EdAepAnBKKTrexpmdz12e4clHx7ifiE4gbAfR\nnpIM77YTwZ4s5Xh71HzsE/jJ2m/uGb2EAM7t5++AQCJKfR37zqcSO1GUG+h6fFCyinWPMr8aqpKw\nq4lCmFdpe7O0DpCbmprwpyee8CyT0SiiH7/nWVZWXYdp197QeQWNvwOa5wO/vhqY8yVgy1KII3uB\nTUu8t1M1RIT3xeNbX5juDLZb27QM7eFY54pIOIw31zRBFQIVdeOgG7rZX9gwMOMb/4VRFbUoqxsH\nzVquufoOb2ppxve+fDVWPfN7AMDGZx/DPTdfg00tzZ2CXE/7tQ6XWkQ339vfdNnqxlVK0VWrNudm\nVhA8ZrA5mtVQFasWWXhKRexQ3h1Iq06GWjjr8YNdl2VYPWnsQDIV3gQMzcyK2I90XkZqvegTEcWT\n/S4zwufuQonWMVFWOij3JPeID1Wx+i/38gg5rQPkxsZGSOmaVMP6OKW5ukgMwUFsWLsaF19xLfQX\nf+q5v/Kv16HYpQaHP4Giqph48aXAqg7D/DLzoQS8LafCoTasbVoGAKgOTvBsU9N1lNeNg6oIjK6q\nxYP/dz6+9O3v4YHH50NVBF74w6NQFYGf/v4ZzLztLvz8D89gdJXZWm3DqhUItYWA99cBj14HbNuE\nUCiE1lV2bbVdNuEKQwViZQt27bCILfeUPFgZYbWrAFl27v7dKfB2ZZTtmuKcgIbRA3Od26j2x1kA\nIwZkewZ+5GVosWPovAdxJYSAoQroqgIBgdyM1BrT6ulWQkREXUqV8ScddU5cJUbJoFwMyc/AoNze\n3WkorQPkhoYGbyZUSlx8zY2457GnMCl7D5Tn7sP2R76Eb1x/JVrWb8AFZechEDZbtY04+jamXznd\n+asSQmD6jJm4YdZtMDRvIDVp+vW4YPqNnmXRaBT5ffoCMDPUD89dgKmf/yLqL7oUk6+Y4cmkllTW\n4vqvfRtb//UW7vnyVZj33w/iB7d8HooArv/6dzDaqjEWQqC8fhwUe7RE6BgAQFEUVNaPN2t+PVne\njuUW3u9NsUvx7peIrgZkeAbl2aUc7moL17KO7OmhhRAoGZRrBspCoONswcUDE/MJ13mshLBmh0rI\nZhPKKWshIqITStXXSvut3bmqnABZhoai/Mxef/UyrQNkwD1IDPjM2UPx9f/3AUSkxGs/+yqi760D\nIu1oO34M//uz7+PV+X9B29M/BF5+FB/83x9gZEkZdN2AqqowAhm4/JoZyDynBLfc/l3PNqobLkNO\nP2/XByEEtmzcAMAMDvM+U4rJ065Fy4pGLJ7/Z9x98zV4s7XZujHwVkszHv3x9xBpb4eMRhEKhfCG\nVXdsB9MCQGlVHW6/9+dQNc0M7lQNt/3w5yiprDVrftyFtF2WPsS+76rowg6quqvH9QTawh2Exe5g\nTwPslm1oGJgbgK4K5AQ0DC3IQEBTYGhd/4m61+8HO1tuXgrydn1IFX6WqBARpQ53oiiVxOZAoM5S\n65rxaWpsbEQkEnF+HhbZBVUAyxbOR9S1HDBrkwEAu94Bdr2DsKLgwL5P8NiTC7C2aRlGVo1FaVUt\n/vHPpfjfX80GvjzHue+vfvIDBGfd712flHj+6bm4/JoZKDy/HLqqYNPaJrSHzIF34TCwftUKlFTW\nQgJoXb0C0UisHEQIgbK6cXAlbR2fu24m+p09Ai2LF+DYsaMYPrLYvlcsG+q6n70OKdEpXrJ/lB2W\ndTfdpjtb7GmujFj2WBECULypYVURGN4vG0X5Zk/joX2yMLRPl5uA8P7PV5qixLpv8FWEiChNpd4b\ngPs6Md/fOkvrDHJDQwM0qxxCfLAeXxw/yswWnsJ97RKJkspaXHnzt9BvRBmiEnhrbRPawyHPbSNR\niUN7dsYW7HkfANAeDmPh/HnQFYFMXfUOyNN1lNebA+8EgIr6cdD02OcZRcRGmzp/13bQa7Xx+tv8\neVi04K/47k1XY1OLmY3+TL8s2DlebxmFcP7vzgAD3lrVWF1y52eTfYnGnZl0B/BCADmGinP7Z2N4\nN50TTr3RvN/P5tgU13a5RSqRMD8NpdrUqURE8WRf8Uy1l0ndGhwfiwJSp1NTvKR1gBwMBnH33XcD\nAGqqKjG6shaqIjDpys9D0w2ztZeqQlFVQAgIocAOzBRFwSef7MUH+49i37F2GKqCSFRiTN04qEqH\nIG/AZ7BeDor9/MfbYt9LczY5VQHGVNdh9h+ewU23fw+/eGK+079YwKxDvuSq653ANCqjeKN5Rax+\nSLgCWwCvv/gMQm3HEY1GEQ6H0bpqORThKhdw/QM6zzHfMWsa+92pPYPcpRUCZoY4J6Bh1MBcFGTq\n6JdtnNJ6Tm0b8RebWtreVmq9ckSl+aLfVbs+IiIyZRkqhuQHXLPNpYb8TB1n5Wc68UOqHV88pHWA\nDADnjzgfAFDQpy8+2HcMqhAoqajF/b9/BjUNlwAws8WqouKKL30DRiAAVVWhGwEMK6uDopifwjRF\nIBKVKC6vwT2P/N67keIGz4+6YQbfumHg8mtmmM0frE+oJVV1+MLXv23VDItYVhbA1OnXwggEnH3a\n+vZmT7xq/21vamnGKwvmQVoj3FRVRUX9eKhKLCvqupdrmcCmlmb8+X8exsZ1azyfLL0D7roOF8NR\n6QTodicKRZg9k88qyMDIAdlxaULurm3urtTjTAQ0xZw9qcOgw1QipYSiADVD+/BFkYioG0II9M82\nkGKzaAMAcgJqpyvGFJPWNchuEuYnxc3r16B11XJk5hVg3euvOLXIURlFbl4e7p3zFLZvWoOhY2ox\ndHQlAqqCqJSQEvhg/zHkBjRUVlcDb6yNrXzAZzzbemzeC1jbtAy14y5AWXUd9h0NmYPWhPmJpavB\nZ0IIlFTWYsKUy7HkxfmAlHj1xfkQArj7occ8ZRatq5Yj0h5x7nfZ1dejtKoO/bKMTgPOBMwAVgLY\nuK4Z//nF6QiHwtANA4/++TlU1dUjHLHqhaWAopi1yu0CuOPC4fjla/8GANw16Vxo9uxsAla22gxg\nh+RnoCg/ftNBA+gisx0/+Zk6hhZkYvPHhz2lJR07aiQ7Xk4jIjq5LEND2eD8nt4N/6RgEigeGCBb\npATe3rAW3/vy1QiHwhCK8AzgUxQFZXXjcO6Yaky+8AK8vfswNMXMNLZHzZrOLEOFqgC6OPFHzQEj\nynHhsFKcZzUdl4hliQFv8CpdXwHgrQ3rPOta8sJ8XHnDzRhTXefUEFfUj4du6AiHAU3TcMn06wAA\n5/bPRjgSdaZzBsxMb9mQPLyx4yBaVy1HOGTPzhfClpaVuOmKKVi37QAAoHRwLvYeCWH3kTaEIgIT\nP9PXCZBrhuZ75qzPDWg4cLwdqgIEuuoJdwbc+evMbrpcnKlMXfWMA0y1146CTN3pPU1ERCfWXUel\nZGcOqGf9cVdS84yfBqeDAyTeaF7hBIjRaBSqpkIoClRNw9funo2SylooAN7efRhZAQ2aatbtqFbt\nTkAzB85tbl0D/fGvdrvNqJQIuJ5sUsZqXt0D7ezaoE0tzfjL/zyMN1uaccHUyzutb/GCpz3HUlJV\niwcen48bb7sLP3j4dyipqnV+p6sKRgzIdjY0sjAHAU1FbkBHTXC8a5CggSsvnQJdVdAvS0d+hoac\ngIaz+2SiX1agc8s4KVyBt0BRfiYUARRkGuifE99m4IoSq58ePSgvruv2cAXHilWjlSqEEM5ELURE\nlJ7sd7VTHyCfPvgOaZEwO0XYmVdd13HznT/C4QP7UD12As4rqzIDJAEYmgpDEYhagW3UKo2wA6g3\nmps8U0d3NP/3v8GYmnEYeuEEAMDHh9swOM9sbyZc/wCznvi/Zl5llT3o+MUT89G87J/491ubnPXt\n2/NxrAeFkIAUKK2qxaiKGhzY+/EJjlog35odbmRhDkJjg3hk7gK0rFyGy6ZMxvjxZheN8wbkxO4h\nBAzN3Dt3gCwUb2cLCYncgIa+WfFvBF46KBdv7DjUaR/8YNeAlwzKTdkMAhERpSe7pLOEVxQ7SfsA\nWcRSyBhdaU7r/PTvHsWeXbugCIHrZt2OgKYiFIk6nSIyNLONmgrERoAiViZRXjcO2uNz0F2I/Jff\nPAjN0DHgyechpcTiVxsx/oILMKaqDpDSE2iud5U9hMPAy889jZLyGmz912anPnrVa0uwqaUZZVaZ\nhVmyAWeqZAHvoLpIVDqDCt3bGjM4D4eqalFWXYuz+5y4Ztg92K8oP8PTQUNTzEGLo3x6wmUZmlXa\n4m9RsHAVt/gdiBMREfUEvrt1Le0DZNuBfZ/gL//zCN5/ezOWv/ISAGDLG+sgBHDF9TdBcdqVmbdX\nhLBqbu3SiNjgt9KqWtzzyB9w3/quAzizxhdY+Mw8/G3+PIRDISz43cP45R+fRXFFTax1W4d6YlVV\nsejZJxFpj1h9bE2RSAStq5ajqrbeDBqlHcB2PZgt29CQbag4EvJOhgKYgaCumqN2T8TuIPHnL1Ti\nnD6Z2H0k5GxPUwQyfL5cM7Iw5+Q3OkPu/s9EBDQ1NaGxsRENDQ0IBoM9vTtEdAbMgefmlecUqiCM\nm7QPkLds2QIAaFndhJYXfw4po57fr1i8EFdef1Ns6mGhQEI65RZ2IGpnbQHgzZZmbGlZDSi1XW5T\nUVVoug4IIBwKOdnh1lXLMdrpfRwbqnfpVTMgAXyy+2Msf+Ulp32bTVU1VNaPR1F+Bt7fd/SkHR4M\nTcG5/bOxaefBTr/TFIHRA3NPoR7J/EDQL9tAhq7aiwAIlA7O9Uzh7YecQGL+dIXrPBOls6amJkye\nPBmhUAiGYWDJkiUMkomSnCLMvvjUWVoHyE1NTfjpL34JNHwN8vhhoENwDAATpl7ulFEIAIoiOrf7\nEoCwsrabWprxX1+cjrBiAN/8S5fb/eJtd6G0dhz6Zen42zNPOjXPFfXjPQP1Nq5rxh0zzbZrqqYi\nGo12Co4BYOyFkzGmutZss2aVBQghIKR0WpR17Fycqauo6WIu5+qhBSd51Oy+yOamOu6P0sW2klVq\nHAVRfDQ2NiIUCiESiSAUCqGxsZEBMlESi0qz3LKLi8mENA+QGxsbETmy3/xh93ue3wkh8PlbbsXl\nM24CEOsZ66nxtW4npIS0fn75uacRDoUAo/sM7HWzbocEMDAngNl/eAYb1zShaux4lFbVQUrpTMqx\nfnWs/liGOwfvtr4DCp3v7U+DsfyzsJbHL9xTFeFMOuKe7jrW7SFum+pRsRKLFDkgojPQ0NAAwzCc\nDHJDQ0NP7xIRnYGCTB0jC3OwaechThjVhbQOkBsaGmD8+MdoW/Aj4P1Wp6pXCIHLr5uJr373h+Ys\nd4C35VeHgEl09cMpXrIorqxFWU2dOVGIdX87MOtYfwwIRCLtEEJARqOISgldN3DZVdc5G1atwXd2\nVtumxLEBQ7ahOvXX7lpoJyhPmSeanY1PpWMi+nSCwSCWLFnCGmSiFCGEQLahcRB6N9I6QA4Gg1i8\n+GX8/NE52N5Px4Z1qwEpoRsGpk6/1jVYLsYJol1f7ck8hBC4dPp1WPj0XES7KNcAgC9gLVqaJSpq\n651lTms3AUDGtlZaVYuH//QcWlctR+XYCYhKiUXPPoWX5j+J9kgUiqJg7IWTPV0qsg0NofaQuV4h\nXJndM3mkvHICGs7pk4mNO9sBAOFINNbNI0Xqde3ZAFPiYIjiJBgMMjAmSiGqIpCfEf92rKmAjV0B\nvPzcPLQ2N5lt04TAt37wU5RW1nqCY8VdSmAFTk4A7fpdSVUtRpaUo7sU8ryHf4L7v3YdNreuMRe4\nbharF459HVNdi5tu/U+MqaqFALBj2/tobw9DyiiikQiWvvx33H7jdLzZ0gxVMfv1emqOrS/Fhf60\nXDt0PIL39h11Hh9FCN8H6CWCgDXxCQssiIgohSWiK1QySvsA+fXXXkPYNamHjEZxcN8nnkvqwpoh\nrquMsrXI6XYAAP9x7Q3oLvVotngLY8PqFWa9sWt93u4TsRy1qpiz6X3ni9OxZtlrkFFvdjocakPL\nquUwXFM6d1xvtg9dHwSADF2BrihWMAmUDEqNZuMdW+QxSCYiIkofaV1iAQB9+/WDuy2FqmmoqB8P\nwCqfELHBZ1LAHJAH1wA9CEhIz6C4z82YiUhU4s+bW7F7UIVne+Y0zjrK6sahPSrx7htr0bJqOSrr\nx6O8pg6xXHSMrihotSYMkTJqRmyufVYUBdMuvRj5mbHLJLFg3sfQTgAZmopIVDrlCKlSqmuXWKTK\n8RAREdGpS/sA+ZO9eyGE4gSe/3HNF1zdJGIUATh5W2/1gutn4cSu02bMRPm+Y/jyU+s927vhW3ei\nNjgBI8pq0NK8GnfMvBrhUAi6oeORuQtQWlUTW6UVpJUNycPUyRfh979+COFwyBmw194ehqIo+O6P\nH8T4ceNcW7EGl/ncwNcepmd2tEitSDJTV9E/O4Bt+4+B+WMiIqL0kvYB8sQLL4QeMNAeDkPXdVwy\nfYb5C3v0nf29E3S6FjnfW3lfV1swIQBN7VzB8vmv3o4sXUU4IrF25TKEw7GJQlpWLkOpVWtsB9oZ\nmgJVEZg4YRwemfscWlYuQ9XYCZAwb185dgJq6uqRqXvbyglr/7vKSMeTEGaRf1e9lpOZEAIDsg1s\n238MikBK1FUTERHRqUn7ADkYDOKnv/8rNq1pQk1wAsZUmzPZSWnVFVt9iZ0SAljL7BnWrLjJPV+G\nEGaLtfc3tXTanrtWuaQm6PQV1XUdlWMnOPe3bo2KonwAgKYoqKipQ1l1LYbkZWDnoTaUV9cBAM7r\nn91FmxZz+kg/2YeiQDh12qnGnlKbiIiI0kfaB8gAUFxRg7LqegRU9wTPdgo21p3BrjeG5zbW967u\nE1ICLz71R/zq/u8Dtz3TYWux2e2KK2sx/8WXsOCll1E1dgLGVHWcZlo6gwVzMzSc3ScTH+w7hnP6\nZmFwXgZatx/AiP7ZyO0wAC9LV3E0HIl13PCBXYdtf0iwPj+kVBbZ1sWFACIiIkphDJAtHROwQlgV\nFlaM7PyzptHzlljE7gMALz75R/zyh9+F7GqCcynwZksz1q5cjjG143DLlVORM6w0NlOftR1NEUCH\n6R8zddUJ1gxNgSoE+mQZnTZRPiQPTe/vc7ph+BWyxro8pM7seZ0JlA3O7+mdICIiogRigGzxtliL\nlUwI1z97gbDSp+6ssf3Ljeua8cv77uzUis22ef0a/OCWaxAOhaEZOqrOehlqUbETGNt0VUFEeiPk\ngkwdJYPy0NTU5MxmhaGdm/Yrzix3Hfcv/pzHJkU7PgiYH0aIiIgofTBAtgjv/yCsLhDSquO1+/y6\nlwnPvc3SiZaVyxCNdB0cA8AbzSsQDoWtfsjAiqWvY+KMYmvNsTXmBFQYaueIs3XNakyePBmhUAiG\nYWDJkiUnmNkqVh7iD+EE4H4PBuwJmio4BScREVEaYmrM4g4inaDPlVUuG5LnXdYpGDR/rhw7AUYg\nAKEoULXOnz/K6sZBN3SnH/KkSZM821QVIKAqGN4vG6MGdp50o7GxEaFQCJFIBKFQCI2NjV0ejzu7\n7UeMJ2D3CY5NZ+13tjrRAprKGYaIiIjSEDPIcE8jLczaXwDtUcDpJRxr5OYs8wbL1lcBjKmqxf8+\n9QKWLX0NY2qDuG1VrEzislEDcG7pOfjlH59Fc9MyTJgwEcFgEMvf22tO0Wyts3Rw97PRNTQ0OJ0v\nDMMwyyxOojAncHoPyCnQVQWaIhACnAdAVVJviF5Bpu4paek+W09ERESpIu0DZAl4eggP65uFbfuP\noT0q3RUXDu8yu9LXztiaXS4umDAOw8dUIhyRwKom574313DlIoMAABbxSURBVJ0NQ1NQWlWH88pq\nMDQ/w1mP3U6sb5bRZf9kWzAYxJIlS04pYLMH6Z3TN+tUHorTkpehYVBuBv6994i1LYGKorwT7nsy\nampqOo2SFiIiIkoFaR8ga4qAoSoIR6IQAhiYG0CGpuCtXYcRgQQkoAoBRQioQiACafZIdtYQmyTD\n1eIY7uDZWWKtw848ZxuxwFwRQL9sA8NOIZgNBoMnDdL8zuUKIZCboTmDFs2Si1TLH3dd0sIAmYiI\nKLWlVrrvUxBCIMvKINvhnSIEFCW2pE+WDkURyDI63s5bXqEId7kG8GZLs2dbb29Y4/xeVYAMa7t2\nAO4OmE+mqakJs2fPRlNTU7e3SUS86gwtFJ2S7SnBLmlRVfWUS1qIiIgouaV9Btnhqik2NDPT227N\n1TyifzYAc6De8vc+cWaoyzY0tLVHEInGguNsQ0F+hoY9RwRaVy2H+D8PQ976JABgU3MTauvGmq3D\nVAUBq32YqgCD8gIYcIq1wqdy2V9RnMPylXAG6qVieHx6JS1ERESUGnwNkIcNG4bc3FyoqgpN07Bm\nzRo/Nxc3AU3Fuf2zsXnXYUQ6zPURa+gG9MnUMSgvBy0fHUC2oaF4oNnxYOXKlXhx0SvI69MXOiLm\nQDYApbVmcCUEoCuK01/3M32zkJ+pn3S/7MFiq1evxvHjxyGl7Pay/3n9s3HgWBiZbfEfoNeVFKyu\n8AzO+/73v9/Tu0NEREQJ4nsG+Z///Cf69+/v92bOjHA6+jqLolJCUYBIxBv8GZpAW3ssatZVBaMH\n5kJXBYQQnuyupuu45a4f4bHDwOBMgVEV1c4ov7wMDQFrQFv/U8gc2+u1A2ObpmldXvbvm2Wgb5aB\n7W0HTvfROC2dJlJJERycR0RElL7SvgbZTXVFwlm6ag6o63CbmqF9rJrh2LKcgIaAZtYPewZ1tbVh\n6+Y3MO/GKvz15qAnmBzWNwvKaTQobmxsRFtbmyc4FkLgy1/+co8GbsI6ILvUIlWcar9pIiIiSj2+\nZpCFEJg6dSqEEPja176GWbNmdbrNnDlzMGfOHADAzp07sX37dj93qUv79xzGkbYIMnQF241jzvJB\nisR7h45ix47jntsf+uQQDFVAatnYfswbFJaUlEBVVUQiEUgp8cpzT2H8RVPRv64WRw+HAEOBNDR8\nYhw7rYCypKQEiqIg6prCWlVVXHbZZSd8zHbv3n3K2zhdh9racXDvUUSjZrZ9h3E8ZTpZlJSUQNfN\nshdd11FSUpLQv00/zxv5i+cuOfG8JS+eu+TU28+brwHysmXLUFRUhI8//hhTpkzBqFGjMHHiRM9t\nZs2a5QTONTU1GDJkiJ+71KXd8gDUtnaMG9a309TCRUWdb39EP4yBuQHkZXSuG542bRpuvvlm/Pa3\nv4WUEpFoBG9vfguX/sdnccQ4jlxDxdhhfT29l0/FtGnTcMcdd+DBBx90lt1xxx2YNm3aSe/r12O6\n72gIe3EY7VEJVREYPLhPykzNPG3aNLz66qs9OjivJ54LFB88d8mJ5y158dwlp9583nwtsSiyosvC\nwkJMnz4dq1ev9nNzZ+xUg7sRA3K6DI5tM2fORCAjw5lOuqxuHMKRKCJReUZlCAUFBVCs9hRCCLS2\ntp6wzZvfIlZgbLe4S43QmIiIiNKdbxnkI0eOIBqNIjc3F0eOHMHixYvxwx/+0K/NnbF4BnfBYBBP\nPf93/H3xEpTUBjFsdBU+2H8cAe3MmqE1NDQgEAigra0N0WgUr7zyCpYuXdpjA8hURUBVABEBdDW1\nwmMO0iMiIkpfvmWQd+3ahQkTJqC8vBx1dXW4/PLLcemll/q1uTPix+Cymrqx+OI3/xMllbU4Eo5A\nVQQ0K0O9auXJJ/noit2T9+KLL3bqkXtyAFmfLAMjB+RCCKBiSP5pDTrs7ThIj4iIKH35lkEePnw4\n1q9f79fqk4LdsUKzyhCEENjU0oz/56arP3VmMhgM4r777sPSpUuddfTk7G5Wpzpoamo1RLFn0OsN\njzERERElFmfSAwDIuE90YagCqmJOIa0rAlEACgRaV63olJk83Uv3vW92t9TJHNt632NMREREicIA\n2Sf9cwIIRSTe3nMYAU1FW3sEQgCVY8fHJTMZDAZ7RdAWlUAKVVZ49JbHmIiIiBKLAbIj/lGeZmWQ\nFcX8J4RAaVUtXvrHYqxYtjQlMpMCqTdAj4iIiNJb2gfITU1NmPfCIoyuGYfxn7kkruuWiNUhK9bs\newLA2GAQF14wIa7b6inZAQ1VRQU9vRtEREREcZPWAbLdyqstFIKuGygbEt9WXlJKa3BerAwhRSaa\n80il7hVEREREqdV64DTZrbyikQjCYX9aedmdjwViPZDPrBsyEREREfkprQNku5WXqqrQ9fi38pIw\nM8bC+mrGxQyOiYiIiHqztC6xsFt5PfnCIpTVjov7gDkpzdpjCPOrWYucmmUWRERERKkirQNkwAyS\nM88ejXAk6ts27AyyAJCpq9BTbFINIiIiolSS9gEyYLZjkzL+QavsMAGJEAKjB+bGfTtEREREFD8M\nkAGMLMzxZb3SmkTDKT8mIiIiol6P1/oB6KriS9lDfoZudq+w6iucwXpERERE1GsxQPZRboaG8/pn\nxxYwOCYiIiLq9RggJ4Bw/jFCJiIiIurtGCD7zO5/7O5kQURERES9FwNkIiIiIiIXdrFIAHOgnp1F\nZg6ZiIiIqDdjBjkBBDtYEBERESUNBsgJILz/IyIiIqJejAFyAinC/EfJoampCbNnz0ZTU1NP7woR\nERElEGuQE0AIQEgBRQjWICeJpqYmTJ48GaFQCIZhYMmSJQgGgz29W0RERJQAzCAnhDlIz4fJ+sgn\njY2NCIVCiEQiCIVCaGxs7OldIiIiogRhyJZA5w/I6eldoFPU0NAAwzCgqioMw0BDQ0NP7xIREREl\nCEssfCYgoAoBKSVyA3y4k0UwGMSSJUvQ2NiIhoYGllcQERGlEUZsPssyVBiaQCTc03tCpysYDDIw\nJiIiSkMssfCZqggUD8yFWYfMAXpEREREvR0DZCIiIiIiFwbICSClZP9jIiIioiTBADlBdJURMhER\nEVEyYICcAFmGhqqigp7eDSIiIiI6BQyQE0RhjQURERFRUmCATERERETkwgCZiIiIiMiFATIRERER\nkQsDZCIiIiIiFwbIREREREQuDJCJiIiIiFwYIBMRERERuTBAJiIiIiJyYYBMREREROTCAJmIiIiI\nyIUBMhERERGRCwNkIiIiIiIXBshERERERC4MkIkoIZqamjB79mw0NTX19K4QERGdkNbTO0BEqa+p\nqQmTJ09GKBSCYRhYsmQJgsFgT+8WERFRl5hBJiLfNTY2IhQKIRKJIBQKobGxsad3iYiIqFu+B8iR\nSASVlZX47Gc/6/emiKiXamhogGEYUFUVhmGgoaGhp3eJiIioW76XWDzyyCMoLi7GwYMH/d4UEfVS\nwWAQS5YsQWNjIxoaGlheQUREvZqvGeRt27Zh4cKF+MpXvuLnZogoCQSDQXz/+99ncExERL2erxnk\n73znO3jwwQdx6NChbm8zZ84czJkzBwCwc+dObN++3c9dSju7d+/u6V2gT4HnLXnx3CUnnrfkxXOX\nnHr7efMtQP7b3/6GwsJCVFdXn3BAzqxZszBr1iwAQE1NDYYMGeLXLqUtPqbJiectefHcJSeet+TF\nc5ecevN5863EYvny5XjhhRcwbNgwzJgxA6+++ipuvPFGvzZHRERERBQXvgXIs2fPxrZt27B161bM\nmzcPF110EebOnevX5oiIiIiI4oJ9kImIiIiIXBIyk15DQwP7nhIRERFRUmAGmYiIiIjIhQEyERER\nEZELA2QiIiIiIhcGyERERERELgyQiYiIiIhcGCATEREREbkwQCYiIiIicmGATERERETkwgCZiIiI\niMiFATIRERERkQsDZCIiIiIiFwbIREREREQuDJCJiIiIiFwYIBMRERERuTBAJiIiIiJyYYBMRERE\nROTCAJmIiIiIyIUBMhERERGRCwNkIiIiIiIXBshERERERC4MkImIiIiIXBggExERERG5MEAmIiIi\nInJhgExERERE5MIAmYiIiIjIhQEyEREREZELA2QiIiIiIhcGyERERERELgyQiYiIiIhcGCATERER\nEbkwQCYiIiIicmGATERERETkwgCZiIiIiMiFATIRERERkQsDZCIiIiIiFwbIREREREQuDJCJiIiI\niFwYIBMRERERuTBAJiIiIiJyYYBMREREROTCAJmIiIiIyIUBMhERERGRCwNkIiIiIiIXBshERERE\nRC4MkImIiIiIXBggExERERG5MEAmIiIiInJhgExERERE5OJbgHz8+HHU1dWhvLwcJSUluPfee/3a\nFBERERFR3PgWIAcCAbz66qtYv349WltbsWjRIqxcudKvzREREfU6d911FwKBAIQQzj9FUXDJJZf0\n9K4R0Qn4FiALIZCTkwMACIfDCIfDEEL4tTkiIqJe5a677sKDDz6IUCjkWS6lxOLFixkkE/Vimp8r\nj0QiqK6uxjvvvINbb70V9fX1nW4zZ84czJkzBwCwc+dObN++3c9dSju7d+/u6V2gT4HnLXnx3CUn\nP87bX//61xP+/vXXX+d7XhzwOZecevt58zVAVlUVra2t2L9/P6ZPn46NGzeitLTUc5tZs2Zh1qxZ\nAICamhoMGTLEz11KS3xMkxPPW/LiuUtO8T5vn//85/Hggw92+/uJEyfybyVO+Dgmp9583hLSxaKg\noACTJk3CokWLErE5IiKiHvfAAw/gzjvvhGEYnuVCCEydOhX/+Mc/emjPiOhkfAuQd+/ejf379wMA\njh07hpdffhmjRo3ya3NERES9zgMPPIC2tjZIKZ1/0WiUwTFRL+dbicWOHTtw0003IRKJIBqN4tpr\nr8VnP/tZvzZHRERERBQXvgXIZWVlaGlp8Wv1RERERES+4Ex6REREREQuDJCJiIiIiFwYIBMRERER\nuTBAJiIiIiJyYYBMREREROTCAJmIiIiIyIUBMhERERGRCwNkIiIiIiIXBshERERERC4MkImIiIiI\nXBggExERERG5CCml7OmdsPXv3x/Dhg3r6d1IKbt378aAAQN6ejfoNPG8JS+eu+TE85a8eO6SU0+d\nt61bt2LPnj0nvV2vCpAp/mpqarBmzZqe3g06TTxvyYvnLjnxvCUvnrvk1NvPG0ssiIiIiIhcGCAT\nEREREbmo99133309vRPkr+rq6p7eBfoUeN6SF89dcuJ5S148d8mpN5831iATEREREbmwxIKIiIiI\nyIUBMhERERGRCwPkJPPhhx9i0qRJGD16NEpKSvDII48AAD755BNMmTIFI0aMwJQpU7Bv3z4AgJQS\nt99+O8477zyUlZVh3bp1zrruuusulJaWorS0FE899VSPHE86Od1zt3nzZgSDQQQCATz00EOedd18\n880oLCxEaWlpwo8j3cTrvB0/fhx1dXUoLy9HSUkJ7r333h45nnQRz+fbsGHDMGbMGFRUVKCmpibh\nx5Ju4nXutmzZgoqKCudfXl4eHn744R45pnQQz+fcI488gtLSUpSUlPTcOZOUVLZv3y7Xrl0rpZTy\n4MGDcsSIEXLTpk3yu9/9rpw9e7aUUsrZs2fLO++8U0op5cKFC+Wll14qo9GobGpqknV1dVJKKf/2\nt7/Jiy++WIbDYXn48GFZU1MjDxw40DMHlSZO99zt2rVLrl69Wt59993yF7/4hWddr732mly7dq0s\nKSlJ7EGkoXidt2g0Kg8dOiSllDIUCsm6ujrZ1NSU4KNJH/F8vp1zzjly9+7diT2ANBbPc2drb2+X\nAwcOlFu3bk3MQaSheJ23N954Q5aUlMgjR47IcDgsJ0+eLN9+++2EHw8zyElm8ODBqKqqAgDk5uai\nuLgYH330EZ5//nncdNNNAICbbroJCxYsAAA8//zzmDlzJoQQGDt2LPbv348dO3bgzTffxMSJE6Fp\nGrKzs1FWVoZFixb12HGlg9M9d4WFhaitrYWu653WNXHiRPTt2zdxO5/G4nXehBDIyckBAITDYYTD\nYQghEngk6SWezzdKLD/O3ZIlS3DuuefinHPO8f8A0lS8zttbb72F+vp6ZGVlQdM0XHjhhXj22WcT\nezBgiUVS27p1K1paWlBfX49du3Zh8ODBAIBBgwZh165dAICPPvoIQ4cOde5z1lln4aOPPkJ5eTkW\nLVqEo0ePYs+ePfjnP/+JDz/8sEeOIx2dyrmj3udMz1skEkFFRQUKCwsxZcoU1NfX+73LhDM/b0II\nTJ06FdXV1ZgzZ47fu0su8XqtnDdvHq6//nq/dpM6OJPzVlpaiqVLl2Lv3r04evQo/v73v/dIfKIl\nfIsUF4cPH8bVV1+Nhx9+GHl5eZ7fCSFOmpmaOnUqmpubMW7cOAwYMADBYBCqqvq5y2Q503NHPSMe\n501VVbS2tmL//v2YPn06Nm7cyDpyn8XjvC1btgxFRUX4+OOPMWXKFIwaNQoTJ070a5fJEq/XylAo\nhBdeeAGzZ8/2YzepgzM9b8XFxbjrrrswdepUZGdno6KiokfiE2aQk1A4HMbVV1+NG264AVdddRUA\nYODAgdixYwcAYMeOHSgsLAQAFBUVeT55bdu2DUVFRQCAe+65B62trXj55ZchpcT555+f4CNJP6dz\n7qj3iPd5KygowKRJk1jW5LN4nTf7NbOwsBDTp0/H6tWr/dtpAhDf59xLL72EqqoqDBw40Lf9JVO8\nztstt9yCtWvX4vXXX0efPn16JD5hgJxkpJS45ZZbUFxcjDvuuMNZPm3aNDzxxBMAgCeeeAJXXHGF\ns/yPf/wjpJRYuXIl8vPzMXjwYEQiEezduxcAsGHDBmzYsAFTp05N/AGlkdM9d9Q7xOu87d69G/v3\n7wcAHDt2DC+//DJGjRrl346nuXidtyNHjuDQoUPO94sXL2bW32fxfq188sknWV6RAPE8bx9//DEA\n4IMPPsCzzz6LL3zhC/7s9IkkfFggnZGlS5dKAHLMmDGyvLxclpeXy4ULF8o9e/bIiy66SJ533nly\n8uTJcu/evVJKc+T8N7/5TTl8+HBZWloqm5ubpZRSHjt2TBYXF8vi4mJZX18vW1paevKw0sLpnrsd\nO3bIoqIimZubK/Pz82VRUZHTaWTGjBly0KBBUtM0WVRUJH/3u9/15KGltHidt/Xr18uKigo5ZswY\nWVJSIu+///4ePrLUFq/z9u6778qysjJZVlYmR48eLX/yk5/08JGlvni+Vh4+fFj27dtX7t+/vycP\nKS3E87xNmDBBFhcXy7KyMvnKK6/0yPFwqmkiIiIiIheWWBARERERuTBAJiIiIiJyYYBMREREROTC\nAJmIiIiIyIUBMhERERGRCwNkIqIkdN999+Ghhx7q6d0gIkpJDJCJiIiIiFwYIBMRJYmf/vSnOP/8\n8zFhwgRs2bIFAPDrX/8ao0ePRllZGWbMmNHDe0hElBq0nt4BIiI6ubVr12LevHlobW1Fe3s7qqqq\nUF1djZ///Od47733EAgEnKmsiYjozDCDTESUBJYuXYrp06cjKysLeXl5mDZtGgCgrKwMN9xwA+bO\nnQtNY86DiCgeGCATESWxhQsX4tZbb8W6detQW1uL9vb2nt4lIqKkxwCZiCgJTJw4EQsWLMCxY8dw\n6NAhvPjii4hGo/jwww8xadIkPPDAAzhw4AAOHz7c07tKRJT0eD2OiCgJVFVV4brrrkN5eTkKCwtR\nW1sLIQRuvPFGHDhwAFJK3H777SgoKOjpXSUiSnpCSil7eieIiIiIiHoLllgQEREREbkwQCYiIiIi\ncmGATERERETkwgCZiIiIiMiFATIRERERkQsDZCIiIiIiFwbIREREREQu/z+YDx6j2XoRvwAAAABJ\nRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.read_csv('../examples/example_wp_log_R_outliers2.csv')\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=1096)\n", "forecast = m.predict(future)\n", "m.plot(forecast);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here a group of extreme outliers in June 2015 mess up the seasonality estimate, so their effect reverberates into the future forever. Again the right approach is to remove them:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -24.7625\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", "\r", "|======================================================|100% ~0 s remaining " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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HF+TlmOw5cWj/2IHd2O0nX3j1jekfAmAY5u0JT5kcmX7n1jefzNy9bQsAvwDe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\n8Zgduz3cc8AjVs5d+uUnK77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MIjSbLGngJ323R/TnBw1Do55pE9oxyvvHU9lKtWnMEe7t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\nF8lOLgMZzqMAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 10 -h 6 -u in\n", "outliers <- (as.Date(df$ds) > as.Date('2015-06-01')\n", " & as.Date(df$ds) < as.Date('2015-06-30'))\n", "df$y[outliers] = NA\n", "m <- prophet(df)\n", "forecast <- predict(m, future)\n", "plot(m, forecast);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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cPOSvVbAccqY95K8z3Lj5v4qC7WCpCkpzFPNGZw5HaTa19VGwnNi60gl2UZ9v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\nN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vH1tJwrGfPnz+fX1yi1jJoli8nPivDTH3w7refoquC4U+fG1xHvLM3ZcCg6mlBye7va\nTOyEuvmybDx9ZUQwkE3KDgfqh/yxhJ+4N9LSjaTboWS40Jw7biHxzEdcqAA43L+GwNB9WkZGvSL9\n2OvXadu2bVRWVvLlL3+Zp59+ep9T+KNHj2bt2rWsXbuW1atXk5uby2mnnbZPfR6M6Nev3x5f7y80\ntplsb2oDSHNBymdDwtFjq2uJY+1BrHhnc5zNO5tpaDNT9rmaoMEcshskb1pbw9WXnMX9t9/Ejy46\nk41rVqqssNPebuecUkLcsnl7R7NXBCFxg2rYvGlj6gAPmwil6QmQEyL66dz4DlIUN77L9887nahI\neq+vv9Kp46f1EvQv6NhMJb/h3Xa360sXUFxcxPatHyACFxlp205RUzgLHFwGTeYwRvR2qvnbuW4V\n50ZDRUsTB/ZwmiYX6YTDb4FSzfjm1deRlZ2dGphIG0OaHD5qDJFIxLM7txIJbNtSjwGrZqUIUcmt\n9z/OKeecz4TK6QweOoLKz32h3TcRawsrcS9++p+M6r136ZG9BcfBswgBWREtlDmM6CoAmDSwx6cu\n9uoMdE3wZu1yn5sdj/HXv/41reewbOnZX+9PJKtlPPvvx/b7GLoSwd/l8F6dk8GZNLCQyQMLmTK4\niJG988mPRtCEUDJpOl5dQPJ5vH/utqTH5KDa3+QE2SEKRvBfYN5wAvfgd0XKwLGB+cjQNW8ucjWW\nM0gf9jrTXH/99bz11ltcfPHF3HvvvYwcOZIf//jHbN68eZ9P/sILLzB8+HCGDBmyz30dbOjRI2xb\nOnny5G4Zx0eNbWzavhvTCUxdeaDuolasfL+BZf+t461PmvfoSd+WUE52CVuydVdbaJ+Uyk5607Ym\nXl+7iofm387G2hpsJBtWLiPhXAQTpsn6lcuwbelwldWd+hdOPQsjGkUIgRGNMvvUs1j3YSPN8YRT\noOdrftpSMnzs+PDghAYVp6ftMzH1CCLy2WyxDyY0vvofho8ey23z76VsV62/4+lb1OOf97w0XPPT\n07FbdrW7T6x7it2Lbkzd/uztnHXh1/n9Ddfw74fuV/w+XfeyqJOnz1LtvGXRwLEOpSK4//Di3KRW\n4YtlRzB0LaWCXQ9cMb1nzpPS8qn85r5HOPnsub7CQzRKWcU0LMti6fNPY1kWw0aN7fDmSmiasmd2\nLtJPPfIg62uW897mN1ny3JNcfu6X2LhmVegGITs7J9CBYMz4CZ0OfjuDiK4yZ8l99ivIZnSf/I71\nYXuV698AACAASURBVNOAWUccge70L6Xknnvuobo6VdP6syI/K0Jpvw5Wm7oQyZzmY0780n4fQ1dD\nOF9SpaKydyjTEP87NqJXHhMGFDCwMIehPfO8bK2rZJG8SoTwA9bUYNnPOIdrFAJ9JQXZwX/u+wkq\nwVi24rD7mWnVJqL5aWUhVB69JW7x+vbdSkc6EzHvEzrFQRZC0K9fP/r160ckEqG+vp4zzzyTo48+\nmptuuukzn/zvf/8755xzzmc+/mBFdXU1N998c2hbbW1tB627FtLJnq75YBfThqSHRvNZ8VFjG20J\ny+N1JfaQQQZfbeK9+hYGBGw2JTDv4Q0AGPdeitWwnYV33cL1f3mYssoZRKIGCVMpE5ROnYGNS5tQ\nHOQxEyu44e5H2FCzjLLKGYyZVEFbwvI5zB7FQgXIeQWFeOtnALPOg8PTd8NT85/FkN/1BjLdDdvJ\n2J73jcu5dvQEzrh3NdlWCzH3lqRxW/iAHe/B8r9DJAveXYOdMNn2wP+DOama0tK2INacsv0Lwwp5\ne9Orvr0vGmNKJzKydCLHnzaHUq+oKdVIIBgcg/CUFdoLhzuTNxxWkquscIVaKtaEIJ5Q37FsQ1My\nhQ7/WSIpLZ/KhCnTOP70s6ldsZSCop7ceu0VntKFbVm8/Xo7qxvOoM+++DLKyiuRKE3ghBlejTHj\ncdatXMrEiqlOAR1YtgVejCooSLrR31dMGlCoXC+TeKfKea5rbxIrp03nhDO/whOOOUkikUh7Hcbe\nTEW6AvPmzWPzjmZeevqfzD7+ZM45/8L9PoauRGqu99MjovsBc0leFE3grRi6V6F2F4Y6+MGHVpsC\nTdxMsHD6Tb7xDQbNQcZEwll9CElKJtmnC2Db7hiGo63cFDN5r97m8J6pZlgZdA57/bXedtttLFiw\ngF69enHJJZfw61//GsMwsG2bkSNHfuYAOR6P88QTT3DjjalZHVC8qfnz5wOKn7t169bPdJ4DEU88\n8QR2Ulbn7rvv5vjjj6eiomK/jOGTTz5h1apVPPnCywwtK6d0QjlbDX/5dNWqVVRXV1NVVdXlY3LP\n1WfkBA4fOwFQlIZCKw/RnJWyjJywJdua2thV3wYSTEOwNepnkVtNX1HCvOAuuPkU4jGbZx66jyOO\nO4XPHXsySDjqhFMYfNgQdtd9Avj2o29sWMdrtTWMmVTh7W/V1PJVwrY9GoamCSxDIxqNKEMHI1sV\nSRX1T+8HJDSIdC4zcjBD03RGjRlHU912opZkzrgiYmuW8ngwC/LeWhgyST1f0A6P8sNNSvIs2fxk\ny3pobVTHzL1Dbdu0mBeeCiw/C4G0bV7fsI7Nb2ziyNnHsLtue4CuI8NLnbi3RepSN6p3Hju2NdLU\nEF7RaKrbzkdZbZ2SYYo1NGMjGdozj4Rl8259CwkbhvTL5+O2GNt3xxWFyPkOCk0w5PAhHDZkCAvv\nnZ8qA9dRBklKHrr7j0yZVsXYskmMHjsOPWKQMMNSboYRoXHndgYX5fDcK8vYVV8HfdSNtK7rjB43\nrkvm5t1p73HvaGwzGTzkcDRdx7ZtDMNg/Pjxh8S1p1//fowrm8iA/v1pqtvOVrOxu4eUFtS1mDQ1\ntGBZkpbG+rT+rfJNk+11LV4WNvj79Yq6wVv1cZVtSIqZ3RtrVdztr1QG4V573ONsh9bXEFfz/u5Y\nAgREhMoY27YM9+H0n2hNIDU1loQtabPh/RaDHtkHph5Da2M9H320tVs57HvCXj+1uro6Fi1alEKD\n0DSNf/3rX5/5xE899RTl5eX07duOyxjqrtet5q2oqGDAgAGf+VwHGk455RRuu+022tr8JRDLsti4\ncSOnnHLKfhnD/fffzzXXXINlWRjRKL+57xFOnHoCoDLcZ599NrF4nKw0yr21p7HsnisejxMxDG68\n+2HGTa7EbEtg5eZg5mSl3AG/sX038exs8ootbCRZusaAAb29/btjCWBt6BgpJS/9+1FefupxrIRF\nJGpw3Jfnklfcy9mv2r2+dhU//87FJOJxNF3n0qtv5MQ553ki7AlLemoDmiZ4d+Ma7r71lyo47oyu\n8WeBbqgs6SGOk+bMZfoXpgNKYeTrR/bh1YIm/v3nW7wCMh75f1BQAlbCv/LsDa+/Am87qhL1H8KO\nd+HVF3wVCAfZ2Tm0tbYgpU0iYfLmptc47dRTiVsWO5vNALHGX1oVQmV4daExfEgx9S1xmoxm4E0A\n+uVHKCzpQ//+xZ3izvbt53+3APJ7xqhriTOwbwHZzXFi23d7RjVIPA1UkEz//LEsvPuPxGKxTn0u\niYTJ5tdfY/rnj2Ha54/hjgce5/brr2bTOl/mzTQTFPXqw+C+Bbz1+iawi7zjK2YdxYzZxzFgQFFH\npziosOGlV/jTLb/Etmw0TeO2227bb/NxV6K6upqrLrsYMx5n4d138fzzzzNgdHqKD7sbelOMXXoz\nCdtGaCKtcUJWc5ydoslTsFE/X/W7tAO/weTgLngf7K4uudd5V2rUlhI3RSbwA2S3MC/hGFsVuTUV\nrSaawJtDbFt62W33eAAZ851cTUuiCWhJWOTmZHUgKdm9aGgx6d9/wF51zLsLe52xf/azn3XIER47\n9rOX1T/44IP/k/QK8IvhLr30UgxDSR/pur7fVCOqq6u5+uqrMU0T2yvWWebtf/HFl4jF49gBubd0\nnHP27Nn85Cc/Yfbs2R63LygtZ5om61Yuw5aSuMMxbomnWjdLKWmJ2x41IpmKkULNiKoA20LHHH8M\n9vHfw5SCF594iIfm386mWmW/KoEXn/AVLGzL4o/XXclTD92v7vqdftsSNjua40ipTBcs04SjLqHL\noOlgHKIBcoAz3Hegb6riZlPGT67k1vsf45RzLmDW0SdgRA20lnqy7Da+9/Nfc/I553PyOedz9rxv\nd+w0uHMLAENGjOKUL3+Vs7PeRKz9Z4reclurL8Gl6xEmT59Fca7B6D4FKYU5bnDsbnFPnZ8VQReC\nO04r5cYTxnDL0YOc99O5C4CuidDFom9Blqcp7C+zBgYSQFl5JTcvWMTXvvdjzpn3fww8fNgez2sY\nUeacfKxjD60k5b59zQ1kZWd7nOby6TOJ6hp5UZ2KGTOJrH7YO15Imw2rV3bqfR0MWPLKK5hxEylt\nQLJz587uHlJaEHbTi/PKKy9395DSjs7w/D9Tv8L/125tgQi3Sf4XpmF5B3pybcm/5dAcEzjGc9x1\n2yS1d3cYmkBD1S9EdKVyEdV16lr3XPSeQfvolrx7c3Mzzz33HHfddVd3nP6AgJtBveeee4DOX0DT\ngcWLF4coHkLTmDhNZRSklIyrqMIwDExIm9xbRxrLyU5PZVNnIIF+BVkkLElTzOKDhlZMS7KzJebx\ngF2lCjejJ6X0PsNFz7wYPnkkCvEWxKxzkeWnqvdZ+0+eefhvSMCIRrn+z/9g9MQKXx4+uwDMNqRl\ncuf1P2Lo6LGMmjCFpe/u5KaX3kETsOj8CkorqtCyc7FGzdrnz6hDfH4ebHpx7+0OAnxxVC+q3/yQ\nZpyAP+BAuO3DD6BC6Ua7sk1CCMZPrvTMKDasXsnTi5Ru77DR4xg+ehy1K5ayaf0avxitPmmZVQiM\naBZX3ngb4yZXYNuSA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VJHYCEDgbFAuoV7gc8EUjPVQgga2xJeoZ4tJW9s3+3prWfgIxMg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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.loc[(df['ds'] > '2015-06-01') & (df['ds'] < '2015-06-30'), 'y'] = None\n", "m = Prophet().fit(df)\n", "m.plot(m.predict(future));" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.14+" } }, "nbformat": 4, "nbformat_minor": 1 }