Created
August 5, 2017 18:20
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messing around with random variables
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import scipy as sp\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"from scipy.special import expit as sigmoid\n", | |
"from scipy.special import logit as invsigmoid\n", | |
"\n", | |
"import matplotlib as mpl\n", | |
"mpl.rcParams.update(mpl.rcParamsDefault) # just in case.\n", | |
"plt.style.use('seaborn-notebook')\n", | |
"\n", | |
"from pylab import rcParams\n", | |
"rcParams['figure.figsize'] = (6, 4)\n", | |
"rcParams['figure.dpi'] = 128 * 2" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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HIoLOKVOmxOGHHx4REbt3747a2tpYs2ZNvPXWW7Fx48a49NJL44orroiFCxfG\nOeec0+P52gaAZWWF/xO8c+zu3bt7XEtXrFixouCx1dXVUVtb24fVAAAg6AQASI5EBJ0LFy7c69qb\nb74Zixcvjrlz58aGDRti27ZtMXPmzPjlL38ZM2fO7NF8bbswu/LL6TvHVlZW9qgOAACSRUcnAEB6\nFbYLTwkMHDgwZs2aFatXr46xY8dGRERLS0t8/vOfj23btvXo3YMHD84dNzQ0FPxcfX193vcAALD/\nEXQCACRHYoPOt1VVVe3R8VlXVxeLFi3q0Turq6tzx5s2bSr4ubZjhw0b1qVl7wAAJJ+OTgCA9Ep8\n0BkRceqpp8ahhx6aO+/Ktyrbc8wxx+SOa2tr99icqCOvvPJKu+8AAGD/JOgEAEiOVASdERHvete7\ncsdbtmzp0buOO+64Pc6ffvrpgp7705/+lDs+9thje1QDAADJo6MTACC9UhN01tXV5Y6HDx/eo3ed\nfPLJUVFRkTtfvnx5p89s3LgxXnrppdz5aaed1qMaAABIP0EnAEBypCLofP3112Pt2rW58yOOOKJH\n7xs0aFB85CMfyZ0X8s3PO++8M3dcVlYW06ZN61ENAACkn6ATACA5UhF0zps3L1paWnLnvREyzpkz\nJ3e8Zs2auOeee/KO3b59e9x4442587PPPjtGjBjR4xoAAEg3QScAQHIUPeh8+OGH47LLLosNGzZ0\nOra+vj4uvfTS+OlPf5q7NnXq1Jg4cWK742fPnh2ZTCb305Gzzz47JkyYkDu/+OKLY/Xq1XuNa2ho\niFmzZuV2XD/ggAPiqquu6rR2AAD2fYJOAIDkKCv2hPX19XHdddfF9ddfH6ecckpMmTIlxo0bFwcd\ndFBUVlZGfX19bNy4MZ544om477779th4aNSoUXHrrbf2Wi0LFy6MSZMmxY4dO6K2tjYmT54cF110\nUXzwgx+MysrKePbZZ+NHP/pR/PWvf809c/nll9uICACAiBB0AgAkSdGDzrdls9lYuXJlrFy5sqDx\nJ554Ytx9990xZsyYXqvh+OOPj8WLF8cnPvGJ2LFjR9TX18eCBQtiwYIF7Y6/+OKLY968eb02PwAA\n6fbmm29GNpvtdDURAAB9r+hL10866aT42te+Fscff3z069f59JMmTYrbbrstnnzyyTjqqKN6vZ4P\nf/jD8ec//zmmT58eZWXt577HHnts3H///XHTTTf1+vwAAKRXNpuN3bt3l7oMAAAiIpPNZrOlmnzn\nzp1RU1PT+GH/AAAgAElEQVQTL774YmzevDkaGhqioqIihg0bFmPGjIkTTjghhg8fXrR6tmzZEo89\n9li8+uqr0dDQEKNGjYrx48fH+PHji1ZDb6muro7a2tqoqqraY/k/AAD5Pfroo/HP//zPXXqmrq4u\nhg4d2kcVAQCkUymyqZItXY+IGDJkSEyePDkmT55cyjJyqqur45xzzil1GQAApMibb74p6AQASICi\nL10HAIB9iQ2JAACSQdAJAAA9IOgEAEgGQScAAPSAoBMAIBkEnQAA0IkD+uX/tVnQCQCQDIJOAADo\nRNkB/fKGnYJOAIBkEHQCAEABBpaXtXtd0AkAkAyCTgAAaJXNZvPeE3QCACSboBMAADqRyQg6AQCS\nTtAJAAAFEHQCACSboBMAAAog6AQASDZBJwAAFGBgef92rws6AQCSQdAJAAAF0NEJAJBsgk4AAChA\nvqCzsbGxyJUAANAeQScAABRARycAQLIJOgEAoFU2m817T9AJAJBsgk4AAOhEJpOxGREAQMIJOgEA\noAA6OgEAkk3QCQAABRjYX9AJAJBkgk4AACiAjk4AgGQTdAIAQAEEnQAAySboBACAAgg6AQCSTdAJ\nAAAFGOAbnQAAiSboBACAVtlsNu89HZ0AAMkm6AQAgE5kMhEDy/u3e0/QCQCQDIJOAAAoQL6OzoaG\nhiJXAgBAewSdAABQgEED2+/oFHQCACSDoBMAAApQkWfpen19fZErAQCgPYJOAAAogI5OAIBkE3QC\nAEABKga0H3Tu3r07mpqailwNAADvJOgEAIACDMoTdEbo6gQASAJBJwAAtMpms3nv5evojPCdTgCA\nJBB0AgBAJzKR0dEJAJBwgk4AACiAjk4AgGQTdAIAQAEqBpTlvaejEwCg9ASdAABQgAH9yyKTybR7\nT0cnAEDpCToBAKAAmUwmb1enjk4AgNITdAIAQIHybUikoxMAoPQEnQAAUKB8GxLp6AQAKD1BJwAA\ntMpmsx3ez9fRKegEACg9QScAAHTi7T2I8nV0WroOAFB6gk4AACiQjk4AgOQSdAIAQIF0dAIAJJeg\nEwAACqSjEwAguQSdAABQIB2dAADJJegEAIAC6egEAEguQScAALTKZrMd3tfRCQCQXIJOAADoRCaT\niYj8QaeOTgCA0hN0AgBAgfItXdfRCQBQeoJOAAAokI5OAIDkEnQCAECBdHQCACSXoBMAAApUMaCs\n3es6OgEASk/QCQAABRo0oLzd6zo6AQBKT9AJAAAF0tEJAJBcgk4AAGiVzWY7vK+jEwAguQSdAADQ\niUzmH/+roxMAILkEnQAAUKBBA9vv6Ny9e3c0NTUVuRoAANoSdAIAQIEqytvv6IzQ1QkAUGqCTgAA\nKFC+js4IQScAQKkJOgEAoEAddXTakAgAoLQEnQAAUKCKAf3z3tPRCQBQWoJOAAAo0KCB+YNOHZ0A\nAKUl6AQAgFbZbLbD+wP6l0Umk2n3nqATAKC0BJ0AANCJTPwj3MxkMjEoz/L1N954o5glAQDwDoJO\nAADogsEV7e+8LugEACitkgWdDQ0N8fDDD8e//du/xUc/+tEYPXp0DBo0KAYOHBijRo2KKVOmxL/+\n67/Gc8891yfz33777ZHJZLr8c/fdd/dJPQAApEPlQEEnAEASlRV7wr///e/xla98JX71q1/l/WXw\ntddei9deey0ef/zxuPbaa+O8886Lm266Kaqrq4tcLQAA7KkyT0fnrl27ilwJAABtFT3o3LBhQ9xz\nzz17XR89enQccsghUVFREevXr48XX3wxd++ee+6JVatWxfLly+OQQw7p9ZoGDhwYH/jABwoaO2rU\nqF6fHwCA9KjMs/O6jk4AgNIqetDZ1pQpU+LCCy+Mj370o3sFmM8991x87Wtfi6VLl0ZExLp162Lm\nzJnxu9/9Lu9Ol901cuTI3DwAANARS9cBAJKp6N/o7NevX0yfPj1qampi+fLlceGFF7bbpTl27Nj4\n9a9/HTNnzsxd+/3vfx8PPfRQMcsFAIA92IwIACCZih50nnjiiXH//ffHuHHjOh2byWTilltuiUGD\nBuWu3X///X1ZHgAA+7FsNtvpGB2dAADJVLJd1ws1YsSImDRpUu58zZo1JawGAID9UdsvJwk6AQCS\nKfFBZ0REVVVV7riurq6ElQAAsL/LF3TadR0AoLRSEXS+/PLLueODDjqodIUAALDfs+s6AEAyJT7o\n3LBhQzz55JO584kTJ/b6HNu3b4/zzjsvxowZE4MGDYrBgwfHYYcdFmeccUZce+21sWnTpl6fEwCA\ndBpcMaDd64JOAIDSKit1AZ2ZP39+tLS0RMQ/Nif65Cc/2etz1NXVxb333rvHtTfeeCNeeeWVWLp0\naVx++eXx5S9/Oa6++uooL29/qVIxdCXktcQfAKBv6OgEAEimRAedjzzySPz4xz/OnZ977rlxwgkn\n9Po8mUwm3v3ud8chhxwS5eXlsWXLllizZk3s3r07IiIaGxvjuuuuiz/84Q/x29/+NiorK3u9hkKs\nXLmyJPMCAPB/KitsRgQAkESJXbr+8ssvx/nnnx/ZbDYi/vFtzhtuuKHX3l9WVhYf+9jHYvHixbFt\n27ZYt25d/O53v4tly5ZFTU1NbN++PX72s5/FP/3TP+WeWbFiRcyaNavXagAAIH3sug4AkEyJ7Ojc\nunVrnHnmmbF58+aIiDjggAPizjvvjIMPPrjX5pg1a1aHoeWgQYNizpw5cfbZZ8eHPvShqKmpiYiI\nBx54IJYuXRqnn356r9VSqAkTJhQ8dtWqVdHU1NSH1QAA7Hve/iN7R+y6DgCQTIkLOnft2hVnnHFG\nrFmzJiL+saz8Jz/5SXzkIx8pST3V1dXxwAMPxDHHHBONjY0REXHDDTeUJOhcsWJFwWOrq6ujtra2\nD6sBANh/ZDKZ3LFvdAIAJFOilq7X19fHWWedtccu6z/84Q/js5/9bAmrijj88MPj/PPPz50/9thj\nudATAID9S75d15uamuKtt94qcjUAALwtMUHnm2++GR//+Mdj+fLluWvXXntt/Mu//EsJq/o/U6dO\nzR03NDTEhg0bSlgNAAClkq+jM0JXJwBAKSUi6HzrrbdixowZ8dvf/jZ37dvf/nZ84xvfKGFVexo1\natQe51u2bClRJQAAlFK+b3RGCDoBAEqp5EHn7t274xOf+ET85je/yV37j//4j5g3b14Jq9pbfX39\nHucVFRUlqgQAgFKqrMgfdNqQCACgdEoadDY1NcXMmTPjv//7v3PXvvnNb8aVV15Zwqra98wzz+xx\nPnLkyBJVAgBAKenoBABIppIFnc3NzfHJT34yHnjggdy1r371q3HNNdeUqqS8Wlpa4u67786djxkz\nJg4++OASVgQAQKkMLC+Lfv0y7d4TdAIAlE5Jgs6Wlpb4zGc+E4sXL85du+SSS+K6664rRTmd+uEP\nfxjPPvts7nzGjBklrAYAgL6SzWY7HZPJZPJ2dQo6AQBKp+hBZzabjYsuuijuuuuu3LUvfelLsWDB\ngh6/e/bs2ZHJZHI/+fziF7+IK664IjZv3tzh+5qbm+Paa6+Nr3/967lrQ4cOjW9+85s9rhUAgPR4\n56+Wgk4AgOQpK/aE//Vf/xU///nPc+cHHHBArFu3Lk4//fSC37F06dIe1bB169b41re+FVdeeWWc\ndtppMWnSpDjuuOOiqqoqysvLo7a2Nv74xz/GXXfdFS+++OIetS5atCiqq6t7ND8AAOlWObB/u9cF\nnQAApVP0oPOdu5c3NzfHww8/XOwycnMvW7Ysli1b1unY6urquO2222LatGlFqAwAgCTL19Fp13UA\ngNIp6a7rpfL+978/zjjjjBg6dGinY0eOHBlz586NZ555RsgJAEBERAyusHQdACBpit7ROXv27Jg9\ne3afvPv222+P22+/vdNxp556avz617+ObDYbL7zwQqxduzY2btwYdXV10dTUFEOHDo3q6uo48cQT\n4+ijj+7we58AAOx/fKMTACB5ih50Jkkmk4mjjjoqjjrqqFKXAgBAigg6AQCSZ79cug4AAD1Raek6\nAEDiCDoBAKBVNpstaFy+XddtRgQAUDqCTgAA6EQm9vxm++CKAe2OE3QCAJSOoBMAALpoSJ6l6zt3\n7ixyJQAAvE3QCQAAXTRkUPsdnYJOAIDSEXQCAEAXCToBAJJH0AkAAF00JM83OgWdAAClI+gEAIAu\n0tEJAJA8gk4AAGiVzWYLGje0g6Cz0HcAANC7BJ0AANBF+To6W1paoqGhocjVAAAQIegEAIBOZTJ7\nnucLOiMsXwcAKBVBJwAAdNGQivK89wSdAAClIegEAIAu6qijc8eOHUWsBACAtwk6AQCgiyoG9I9+\n/TLt3tPRCQBQGoJOAADookwmE0Mq8u+8DgBA8Qk6AQCgG/ItXxd0AgCUhqATAABaZbPZgscOGdT+\nhkSCTgCA0hB0AgBAJzKZvb/Haek6AECyCDoBAKAbhlYObPe6oBMAoDQEnQAA0A1DKixdBwBIEkEn\nAAB0g82IAACSRdAJAADd4BudAADJIugEAIBu0NEJAJAsgk4AAOgGQScAQLIIOgEAoFU2my14bL7N\niHbs2NFb5QAA0AWCTgAA6EQms/c1HZ0AAMki6AQAgG4QdAIAJIugEwAAusGu6wAAySLoBACAbsjX\n0dnQ0BBNTU1FrgYAAEEnAAB0w9A8QWdExK5du4pYCQAAEYJOAADolnwdnRGWrwMAlIKgEwAAuqGj\noHPHjh1FrAQAgAhBJwAA5GSz2YLHdrR0ffv27b1RDgAAXSDoBACATmQis9e1Aw7ol7ers66urq9L\nAgDgHQSdAADQTcMqB7Z7XdAJAFB8gk4AAOimYZU6OgEAkkLQCQAA3aSjEwAgOQSdAADQTQcOrmj3\nus2IAACKT9AJAADdZOk6AEByCDoBAKCbLF0HAEgOQScAALTKZrNdGi/oBABIDkEnAAB0IpPJtHt9\n2OD2g07f6AQAKD5BJwAAdNOBOjoBABJD0AkAAN2Ur6NT0AkAUHyCTgAA6Cbf6AQASA5BJwAAdFO+\noHPHjh3R3Nxc5GoAAPZvgk4AAOimfEFnRMTOnTuLWAkAAIJOAADopgPzfKMzwvJ1AIBiE3QCAECr\nbDbbpfEddXQKOgEAikvQCQAAnchk2r8+uKI8Mnlubt++vQ8rAgDgnQSdAADQTf369Yuhgwa0e09H\nJwBAcQk6AQCgB/ItXxd0AgAUl6ATAAB6IN+GRIJOAIDiEnQCAEAP5Ovo9I1OAIDiEnQCAEAPWLoO\nAJAMgk4AAOiBYZauAwAkgqATAABaZbPZLj9zoKXrAACJIOgEAIBOZCKT916+jk5BJwBAcQk6AQCg\nB0YMqWj3+rZt24pcCQDA/k3QCQAAPTBiyKB2r2/durXIlQAA7N8EnQAA0APD83R0CjoBAIpL0AkA\nAD2Qb+n69u3bo6WlpcjVAADsvwSdAADQAyOGth90ZrPZqKurK3I1AAD7L0EnAAD0wPDB7QedEZav\nAwAUk6ATAABaZbPZLj8zYmj7mxFF2HkdAKCYyko1cUNDQ/zud7+LRx99NP70pz/FmjVrYsuWLdHS\n0hLDhw+PI488MiZNmhSf+cxnYuzYsX1eT01NTdxxxx2xbNmy2LhxYzQ0NMQhhxwS48aNi0996lPx\n8Y9/PMrKSvbPBQBACWUy+e9VDOgfA/qXRePupr3u6egEACieoid3f//73+MrX/lK/OpXv4o33nij\n3TGvvfZavPbaa/H444/HtddeG+edd17cdNNNUV1d3ev1NDY2xty5c+MHP/jBXn/BX7duXaxbty6W\nLFkSJ510UixatCiOPvroXq8BAIB0GzG0IjbV7tzruqATAKB4ir50fcOGDXHPPffsFXKOHj06JkyY\nEFOnTo0xY8bsce+ee+6JCRMmxP/+7//2ai3ZbDYuuOCCuP7663MhZ3l5ebz3ve+NSZMm7RGsrlq1\nKqZMmRIvvfRSr9YAAED65dt53dJ1AIDiKek3OqdMmRK33XZbvPrqq7F+/fpYsWJFPPLII7Fu3bp4\n9tln4/TTT8+NXbduXcycObNb303KZ/78+XHfffflzs8///xYv359rF69Oh5//PHYtGlTLFy4MAYM\nGBAREZs3b45p06ZFU9Pey5IAANh/Dc8TdOroBAAonqIHnf369Yvp06dHTU1NLF++PC688MI45JBD\n9ho3duzY+PWvfx0zZ87MXfv9738fDz30UK/U8frrr8f8+fNz59OnT4+77rorDj744Ny1srKyuOii\ni+KXv/xl7tqzzz4bt956a6/UAADAvmHEkPY3JNLRCQBQPEUPOk888cS4//77Y9y4cZ2OzWQyccst\nt8SgQf/3i+P999/fK3UsWLAgdu3aFRERAwYMiJtvvjkyeb4yP3369Jg2bVru/Oqrr+7VzlIAANIt\n39J1HZ0AAMVT0qXrhRgxYkRMmjQpd75mzZpeee/ixYtzxzNmzNijk7M9F198ce54w4YN8dRTT/VK\nHQAAJEd3/5ht6ToAQOklPuiMiKiqqsod19XV9fh9L7zwQjz//PO587POOqvTZ6ZOnRoVFf/3C2xv\nLaEHACD58q38eZvNiAAASi8VQefLL7+cOz7ooIN6/L7Vq1fvcX7qqad2+kx5eXmcfPLJufOampoe\n1wEAwL5hxND2v9GpoxMAoHjKSl1AZzZs2BBPPvlk7nzixIk9fudzzz2XO+7fv38cdthhBT135JFH\nxvLly/d6R7F05b+9NzpfAQAozPDBlq4DAJRa4oPO+fPnR0tLS0T8Y8nQJz/5yR6/s22H6KGHHhr9\n+hXW2Dp69Ojc8fr163tcR1etXLmy6HMCANC5EUMtXQcAKLVEL11/5JFH4sc//nHu/Nxzz40TTvj/\n7N15lFT1nffxz62lu3rfCnphaUAREA2oQECMgqOG1gdENFEfmYQQzURNzCTRMTGTaEYHw5OYKCYZ\nE40hgVGjRBkTBSW4RnEBWQYEZaebvfe9u6q6nj+ACk3f6q6mq+6t6nq/zqnT9/5+d/mGnJxUf/q3\nnNfn5zY0NISOc3NzI74vJycndBwIBNTc3NznWgAAAJD4wo3obGlpUUtLi8XVAAAAJKe4HdG5Z88e\n3XDDDaGdLwcOHKhHHnkkKs9ubGwMHXs8nojvO3kzohPPSU83X48pFiZPnhzxtWvXrpXf749hNQAA\nADgh3Bqd0rFRnad+jwQAAED0xWXQWV1drSuvvFJHjx6VJDmdTi1ZskRFRUVRef7JAaDLFfk/wanX\n+ny+qNQTqTVr1kR8rdfrVVVVVQyrAQAAwAnhdl2XjgWdJSUlFlYDAACQnOJu6npjY6PKysq0detW\nScfW5fzNb36jK664ImrvOHkUZmtra8T3nXptRkZG1GoCAACA/U7MJuqtnIzws4TYkAgAAMAacRV0\nNjc366qrruq0y/rDDz+sr371q1F9T2ZmZui4N2smnbom58nPAQAAQP9lGN33O50O5Waah53MsgEA\nALBG3ASdra2tmj17tt56661Q28KFC3XHHXdE/V1erzd0fPDgwYjvO/nanJycXk17BwAAQP/mzTGf\n7UPQCQAAYI24CDrb29s1Z84crVq1KtT2H//xH/q3f/u3mLxv9OjRoeOqqqpOmxN1Z9++fabPAAAA\nALw55hsSnVh3HgAAALFle9Dp8/l03XXXacWKFaG2f//3f9cPf/jDmL1z7Nixnc43bNgQ0X0fffRR\n6HjMmDFRrQkAAACJzZttPqKzsrLS4koAAACSk61Bp9/v1xe/+EX95S9/CbXdfffduv/++2P63okT\nJyot7R87Y548XT6ciooK7d69O3Q+bdq0WJQGAACABDUgl6ATAADATrYFnYFAQDfeeKOWL18eavvO\nd76jn/zkJzF/d3p6eqdd3JcuXdrjPUuWLAkdu1wuzZw5Mya1AQAAIDExdR0AAMBetgSdHR0d+tKX\nvqRly5aF2r75zW/qoYcesqyG+fPnh463bt2qP/3pT2Gvra2t1aOPPho6nzVrlvLz82NaHwAAABJL\nuM2IGNEJAABgDcuDzmAwqJtvvllPPfVUqO3WW2/VokWL+vzsefPmyTCM0Kc7s2bN0uTJk0Pnt99+\nu9avX9/lupaWFs2dOze047rT6dQDDzzQ51oBAAAQf4LB4GnfO4CgEwAAwFYuq1/43HPP6fe//33o\n3Ol0aufOnZoxY0bEz1i5cmVUann88cc1depU1dfXq6qqShdddJFuvvlm/dM//ZMyMjK0ZcsW/epX\nv9Knn34auufee+9lIyIAAIAkY6j7P6JLTF0HAACwm+VBZ3Nzc6fzQCCgV1991eoyJEnnnHOOli1b\npuuuu0719fVqbm7WokWLwo4uvf3222O6GzwAAAASV7ip6w0NDWpra1NqaqrFFQEAACQXW3ddjweX\nX365Nm3apGuuuUYul3nuO2bMGD3//PP65S9/aXF1AAAASBThdl2XpKqqKgsrAQAASE6Wj+icN2+e\n5s2bF5NnL168WIsXL+71faWlpXr++edVWVmpN998U/v371dLS4uKi4s1btw4jRs3LvrFAgAAoF8J\nN3VdOrZOZ0lJiYXVAAAAJB/Lg8545vV6de2119pdBgAAABJQToZHLqdD/kBHlz7W6QQAAIi9pJ+6\nDgAAAESDYRhh1+lk53UAAIDYI+gEAAAAoiTc9HWCTgAAgNgj6AQAAACOCwaDfbo/XNDJ1HUAAIDY\nI+gEAAAAemAYkV03gKnrAAAAtiHoBAAAAKKENToBAADsQ9AJAAAARAlT1wEAAOxD0AkAAABECVPX\nAQAA7EPQCQAAAEQJU9cBAADsQ9AJAAAAREl3U9f7uqM7AAAAukfQCQAAAETJwLxM03afz6fa2lqL\nqwEAAEguBJ0AAADAcX0ddVkUJuiUpEOHDvXp2QAAAOgeQScAAADQA8MwIrrOm5Mhh8P82sOHD0ez\nJAAAAJyCoBMAAACIEqfTEXadToJOAACA2CLoBAAAAKKoMC/LtJ2gEwAAILYIOgEAAIAoKgyzTidB\nJwAAQGwRdAIAAABRFG5DIjYjAgAAiC2CTgAAACCKGNEJAABgD4JOAAAAIIoIOgEAAOxB0AkAAAAc\nFwwG+/yMwnyCTgAAADsQdAIAAAA9MIzIry3qZtf1aASpAAAAMEfQCQAAAERRuBGd7e3tqq2ttbga\nAACA5EHQCQAAAERRuDU6JaavAwAAxBJBJwAAABBF3px0GWHmuhN0AgAAxA5BJwAAABBFLqdT3px0\n0z6CTgAAgNgh6AQAAACirCg//IZEAAAAiA2CTgAAACDKwq3TeejQIYsrAQAASB4EnQAAAMBxwWAw\nKs8JF3QyohMAACB2CDoBAACAHhgy31woHEZ0AgAAWI+gEwAAAIiy4jBrdB44cMDiSgAAAJIHQScA\nAAAQZYO82abtBJ0AAACxQ9AJAAAARFmJ13xE55EjR+Tz+SyuBgAAIDkQdAIAAABRVlJgPqIzGAyy\nTicAAECMEHQCAAAAURYu6JSk/fv3W1gJAABA8iDoBAAAAI4LBoNReU5GWopyMjymfazTCQAAEBsE\nnQAAAEAPDKP394TbkIgRnQAAALFB0AkAAADEQAk7rwMAAFiKoBMAAACIAUZ0AgAAWIugEwAAAIiB\nkoIs03ZGdAIAAMQGQScAAAAQA4zoBAAAsBZBJwAAABADJQWs0QkAAGAlgk4AAAAgBsJtRlRfX6/G\nxkaLqwEAAOj/CDoBAACA44LBYNSeFW7qusSoTgAAgFgg6AQAAAB6YBhGr+8pzMsMex/rdAIAAEQf\nQScAAAAQA26XU4V5maZ9jOgEAACIPoJOAAAAIEZKCrJM2xnRCQAAEH0EnQAAAECMhFuns6KiwuJK\nAAAA+j+CTgAAACBGhg7MNW3ft2+fxZUAAAD0fwSdAAAAQIwMLSToBAAAsApBJwAAABAjQwfmmLYT\ndAIAAEQfQScAAABwXDAYjOrzwk1dr6qqUlNTU1TfBQAAkOwIOgEAAIAeGMbp3Rdu6roklZeXn2Y1\nAAAAMEPQCQAAAMRIcX6WnA7zr9xMXwcAAIgugk4AAAAgRpxOhwYPyDbtI+gEAACILoJOAAAAIIbC\nrdNJ0AkAABBdBJ0AAABADJWGWaeToBMAACC6CDoBAACAGAq3IRFBJwAAQHQRdAIAAAAxNHRgjmk7\nQScAAEB0EXQCAAAAxwWDwag/M9waneXl5ero6Ij6+wAAAJIVQScAAADQA0PGad8bLuhsb2/XkSNH\nTvu5AAAA6IygEwAAAIihIWGmrktMXwcAAIgmgk4AAAAghrIzPMrN9Jj27d271+JqAAAA+i+CTgAA\nACDGwk1f3717t8WVAAAA9F8EnQAAAECMjSjON23ftWuXxZUAAAD0XwSdAAAAQIyNKCHoBAAAiDVb\ng86qqiq9+uqrWrBgga699lqVlpbKMIzQZ968eTF79+LFizu9K9LPM888E7OaAAAA0D+NKM4zbSfo\nBAAAiB6XHS89dOiQpkyZoj179tjxegAAAMBUMBiMyXPDTV3fu3evAoGAnE5nTN4LAACQTGwJOltb\nW+Mq5PR4PLrkkksiura4uDjG1QAAACDeGEbf7g8XdPr9flVUVKi0tLRvLwAAAIA9QefJ8vPzdcEF\nF4Q+d9xxhw4ePGhpDYWFhVq5cqWl7wQAAEDyKC3KlWEYpiNGd+3aRdAJAAAQBbYEnfn5+Xruued0\nwQUXaPjw4Z367rzzTjtKAgAAAGLGk+LWIG+2Ko7WdenbtWuXpk+fbkNVAAAA/YstQWd2drauu+46\nO14NAAAA2GJ4UV7YoBMAAAB9Z+uu6wAAAECyGFFivk4nQScAAEB0EHQCAAAAFhhRnGfaTtAJAAAQ\nHQSdAAAAgAXC7bxO0AkAABAdBJ2Samtrdf3112vEiBFKT09XZmamSktLVVZWpoULF1q+CzwAAADs\nYbYrerSECzorKytVX18fs/cCAAAkC1s2I4o3dXV1evbZZzu1NTU1ad++fVq5cqXuvfdefeMb39CC\nBSirw9wAACAASURBVAuUkpJiU5XSlClTIr62rq7rQvcAAAA4PYZh9PkZ4dbolKTdu3dr3LhxfX4H\nAABAMiPo1LEvrsOHD1dJSYlSUlJUWVmprVu3yufzSZLa2tr00EMP6d1339WqVauUkZFhS53vvfee\nLe8FAABA3xXmZSot1a2WNl+Xvu3btxN0AgAA9FHSTl13uVy6+uqrtWzZMtXU1Gjnzp16++23tXr1\nam3cuFG1tbX63e9+p0GDBoXuWbNmjebOnWtj1QAAAEhUhmHozEEFpn3bt2+3uBoAAID+J2lHdM6d\nO7fb0DI9PV3z58/XrFmzdNlll2njxo2SpOXLl2vlypWaMWOGVaWGTJ48OeJr165dK7/fH8NqAAAA\n0FtnDS7Q/+461KX9008/taEaAACA/iVpg85Ieb1eLV++XKNHj1ZbW5sk6ZFHHrEl6FyzZk3E13q9\nXlVVVcWwGgAAAPTWWYO9pu2ffPKJxZUAAAD0P0k7db03hg0bphtuuCF0/uabb4ZCTwAAACBSo4YM\nMG1nRCcAAEDfEXRGaPr06aHjlpYWlZeX21gNAAAAElG4EZ1VVVXMxgEAAOgjgs4IFRcXdzqvrKy0\nqRIAAADESjAYjOnzwwWdEhsSAQAA9BVBZ4Sam5s7naelpdlUCQAAAKxmGNF5TkFOuvKzzb9HMn0d\nAACgbwg6I7R58+ZO54WFhTZVAgAAgEQ2ajDrdAIAAMQCQWcEOjo69Mwzz4TOR4wYoaKiIhsrAgAA\nQKI6a4j59HWCTgAAgL4h6IzAww8/rC1btoTO58yZY2M1AAAASGTh1un85JNPLK4EAACgf+lXQee8\nefNkGEboE84f//hH/fjHP9bRo0e7fV4gENDChQt11113hdqys7N19913R61mAAAAJJezBheYtm/f\nvl0dHR0WVwMAANB/uOx68S233KIlS5Z0aW9rawsdL1mypNOU8RNeffVVXXzxxaf97urqat133326\n//77NW3aNE2dOlVjx45VQUGBUlJSVFVVpXXr1umpp57Srl27Qvc5nU4tXbpUXm/43TIBAACA7oQb\n0dnS0qL9+/dryJAhFlcEAADQP9gWdPp8vk6hppmOjg7Ta6L1l+5AIKDVq1dr9erVPV7r9Xr15JNP\naubMmVF5NwAAAOJPMBiM+TtGhgk6JWnbtm0EnQAAAKepX01dj9SkSZNUVlam7OzsHq8tLCzUPffc\no82bNxNyAgAAJClD4ZdF6q20VLdKC3NN+z7++OOovQcAACDZ2Daic/HixVq8eLEtz7zwwgv18ssv\nKxgMaseOHdq2bZsqKipUV1cnv9+v7Oxseb1enX/++Ro1alS3630CAAAAvXV26UDtPVzbpf3kDTAB\nAADQO7YFnfHAMAyNHDlSI0eOtLsUAAAAJJGxwwq14oNPu7QTdAIAAJy+pJy6DgAAANhp7LCBpu1b\ntmyxZJ1QAACA/oigEwAAALDY2GGFpu11dXU6cOCAxdUAAAD0DwSdAAAAgMXGlA4I28eGRAAAAKeH\noBMAAACwWGZaatid11mnEwAA4PQQdAIAAADHWbk+Zrjp6wSdAAAAp4egEwAAAOiBYUT/md1tSAQA\nAIDeI+gEAAAAbNDdiE52XgcAAOg9gk4AAADABmeXmo/orK+v1/79+y2uBgAAIPERdAIAAAA26G7n\n9c2bN1tYCQAAQP9A0AkAAADYIDMtVcOL80z7Nm3aZHE1AAAAiY+gEwAAALDJuBHFpu0bNmywuBIA\nAIDER9AJAAAA2GT8mQSdAAAA0ULQCQAAABxn9W7n4YLOTz75RM3NzZbWAgAAkOgIOgEAAIAeGIYR\nk+eOP8M86Ozo6GBDIgAAgF4i6AQAAABsMrQwV7mZHtM+pq8DAAD0DkEnAAAAYBPDMFinEwAAIEoI\nOgEAAAAbjT+jxLSdoBMAAKB3CDoBAAAAG407o8i0fdOmTero6LC4GgAAgMRF0AkAAADYKNzU9aam\nJu3cudPiagAAABIXQScAAABgo7NLB8rtcpr2rV+/3uJqAAAAEhdBJwAAAHBcMBi0/J0pbpfOLh1o\n2rd27VqLqwEAAEhcBJ0AAABADwzDiOnzLzjLfEOiDz/8MKbvBQAA6E8IOgEAAACbTRo92LR97dq1\nCgQCFlcDAACQmAg6AQAAAJtNHGUedDY2NuqTTz6xuBoAAIDERNAJAAAA2OzcEUVKdbtM+5i+DgAA\nEBmCTgAAAMBmbpdT540sNu374IMPLK4GAAAgMRF0AgAAAHEg3PR1RnQCAABEhqATAAAAiAPhgs4N\nGzaora3N4moAAAASD0EnAAAAcFwwGLTt3eF2Xvf5fNq0aZPF1QAAACQegk4AAACgB4YF7xg5uEDZ\nGammfazTCQAA0DOCTgAAACAOOBwOTThrkGnfe++9Z3E1AAAAiYegEwAAAIgTnx0zxLT9nXfesbgS\nAACAxEPQCQAAAMSJqeeUmrbv3r1bBw4csLgaAACAxELQCQAAAMSJC8eaB50SozoBAAB6QtAJAAAA\nxIm8rDSNHTbQtO/vf/+7xdUAAAAkFoJOAAAAII5cdO4w03ZGdAIAAHSPoBMAAAA4LhgM2l2CpoaZ\nvr5hwwY1NjZaXA0AAEDiIOgEAAAAemAYhmXvuuhc86AzEAjo/ffft6wOAACAREPQCQAAAMSRYUV5\nKi7IMu1j+joAAEB4BJ0AAABAHDEMI+z09bffftviagAAABIHQScAAAAQZ8JNX3/nnXfU3t5ucTUA\nAACJgaATAAAAiDOXjBtu2t7S0sI6nQAAAGEQdAIAAABx5jMjipSfnWba99prr1lcDQAAQGIg6AQA\nAADijMPh0PTxI0z7CDoBAADMEXQCAAAAxwWDQbtLCLn0vDNM29esWaPm5maLqwEAAIh/BJ0AAABA\nDwzD+neGG9Hp8/n0zjvvWFwNAABA/CPoBAAAAOLQ6KEDVJSfZdrH9HUAAICuCDoBAACAOGQYhi49\nj3U6AQAAIkXQCQAAAMSpcOt0rl27VjU1NRZXAwAAEN8IOgEAAIA4FW5EZ0dHh/72t79ZXA0AAEB8\nI+gEAAAA4tTw4nydeeaZpn0rVqywuBoAAID4RtAJAAAAHBcMBu0uoYuysjLT9pUrV8ZlvQAAAHYh\n6AQAAAB6YMiw7d1lJfWm7QcPHtTGjRstrgYAACB+EXQCAAAAcWza+BHypLhM+5i+DgAA8A8EnQAA\nAEAcS0t1a9p4802JCDoBAAD+gaATAAAAiHNlk84ybX/33XdVW1trcTUAAADxiaATAAAAiHPhgs5A\nIKBVq1ZZXA0AAEB8IugEAAAA4tzIwV6dUZJv2rd8+XKLqwEAAIhPBJ0AAABAArhq8ijT9pdeeknt\n7e0WVwMAABB/CDoBAACA44LBoN0lhDV76tmm7XV1dXrjjTesLQYAACAOEXQCAAAAPTAMuyuQPveZ\nYSrITjftY/o6AAAAQScAAACQEFxOp2ZOGW3at3z5cnV0dFhcEQAAQHwh6AQAAAASxOyLzKevHzx4\nUB9++KHF1QAAAMQXgk4AAAAgQVwxYaTSPW7TvhdeeMHiagAAAOILQScAAACQINJS3fr8hJGmfc89\n91xcb6YEAAAQa7YGnVVVVXr11Ve1YMECXXvttSotLZVhGKHPvHnzLKtl48aN+s53vqNx48apoKBA\n6enpOvPMMzVnzhwtW7ZMfr/fsloAAACAcK65aKxp+65du7R27VqLqwEAAIgfLjteeujQIU2ZMkV7\n9uyx4/WdtLW16Z577tEvfvGLLn8B37lzp3bu3KkXXnhBEyZM0NKlSzVq1CibKgUAAACkmReOVorb\nqXZfoEvf008/rYkTJ9pQFQAAgP1sGdHZ2toaFyFnMBjUTTfdpJ///OehkDMlJUXjx4/X1KlT5fV6\nQ9euXbtWn/vc57R79267ygUAAECMJcLU79zMNF05yfyP73/64+8U+Nt/WlwRAABAfLB9jc78/Hxd\nfvnl+t73vqfnnntOxcXFlr37wQcf1J///OfQ+Q033KC9e/dq/fr1+vvf/66DBw/q8ccfV2pqqiTp\n6NGjmjlzJtPYAQAAkoxhGHaX0MkNl37GtP1AVb3e/t891hYDAAAQJ2wJOvPz8/Xcc89p165doXU6\nH3zwQV133XVKSUmxpIYjR47owQcfDJ1fc801euqpp1RUVBRqc7lcuvnmm/X000+H2rZs2aInnnjC\nkhoBAAAAMzOnjFaGx/x789OvbbS4GgAAgPhgS9CZnZ2t6667TsOHD7fj9ZKkRYsWqbGxUZKUmpqq\nX//612H/Un/NNddo5syZofMFCxYkxLQmAAAA9E/pnhRdPXWMad+ytzarvb3d4ooAAADsZ/vUdbss\nW7YsdDxnzpxOIznN3H777aHj8vJyffjhhzGrDQAAAOjJjZeOM22vrm/RihUrLK4GAADAfkkZdO7Y\nsUOffPJJ6Pyqq67q8Z7p06crLS0tdP7iiy/GpDYAAAAgEldMOFN5WWmmfb///e8trgYAAMB+SRl0\nrl+/vtP5hRde2OM9KSkpmjhxYuh840bWPgIAAIB9UtwuXT/tXNO+v/71rzp06JDFFQEAANjLZXcB\ndvj4449Dx263W6WlpRHdd+aZZ+qtt97q8gyrTJkyJeJr6+rqYlgJAAAA4sH8sgl67C8fdGkPBAJa\nunSp7rzzThuqAgAAsEdSBp179uwJHQ8ePFgOR2QDW4cOHRo63rt3b7TL6tF7771n+TsBAACSSaJt\nODlh1CCdM7xQm3cf7tL35JNP6rvf/W7YDTcBAAD6m6Scut7Q0BA6zs3Njfi+nJyc0HEgEFBzc3NU\n6wIAAEB8ites0DAMzZ9xgWnf1q1b9f7771tcEQAAgH2SckRnY2Nj6Njj8UR838mbEZ14Tnp6etTq\n6snkyZMjvnbt2rXy+/0xrAYAAADxYO7l4/Vvv10pf6CjS98TTzzRq++QAAAAiSwpg86TA0CXK/J/\nglOv9fl8UaspEmvWrIn4Wq/Xq6qqqhhWAwAAgHgwIDdTsy4co+ff3tKl7+mnn9ZPf/pT5eXl2VAZ\nAACAtZJy6vrJozBbW1sjvu/UazMyMqJWEwAAAHC65peZT19vbm7W4sWLrS0GAADAJkkZdGZmZoaO\nW1paIr7v1DU5T34OAAAAYJcZE8/S0IHma8//6le/UkdH12ntAAAA/U1SBp1erzd0fPDgwYjvO/na\nnJycXk17BwAAAGLF6XTo1lmfNe3buXOnXn31VYsrAgAAsF5SBp2jR48OHVdVVXXanKg7+/btM30G\nAAAAYLevXnmBUt3mf4j/5S9/aXE1AAAA1kvKoHPs2LGdzjds2BDRfR999FHoeMyYMVGtCQAAAPYL\nBoN2l3DaBuRm6oZLP2Pa9/LLL2vnzp0WVwQAAGCtpAw6J06cqLS0tND5W2+91eM9FRUV2r17d+h8\n2rRpsSgNAAAAcciQYXcJEfnG7Mmm7cFgUD//+c8trgYAAMBaSRl0pqen64orrgidL126tMd7lixZ\nEjp2uVyaOXNmTGoDAAAATteEUYM1afRg074nn3xSR48etbgiAAAA6yRl0ClJ8+fPDx1v3bpVf/rT\nn8JeW1tbq0cffTR0PmvWLOXn58e0PgAAAOB0/Ou1U03bW1tbWasTAAD0a/0q6Jw3b54Mwwh9ujNr\n1ixNnvyPqT2333671q9f3+W6lpYWzZ07N7TjutPp1AMPPBDdwgEAAIAo+cK0c1RamGva98tf/lJN\nTU0WVwQAAGAN24LOW265RR6Pp8tn7969oWuWLFliek0ka2pG4vHHH1d2drakY7uvX3TRRfrWt76l\nF198UatXr9aiRYs0fvx4vfTSS6F77r33XjYiAgAAQNxyOZ367hcuMu2rrq7W7373O4srAgAAsIZt\nQafP51NbW1uXz8k6OjpMr+no6IhKDeecc46WLVsWCjubm5u1aNEiXX311brsssv0rW99S59++mno\n+ttvv10//OEPo/JuAAAAIFbml01QQXa6ad/PfvazLt+7AQAA+oN+NXX9dFx++eXatGmTrrnmGrlc\nLtNrxowZo+eff541jQAAAJAQMtJSwu7AXl5erieffNLiigAAAGLPCAaDQbuLiBeVlZV68803tX//\nfrW0tKi4uFjjxo3TuHHj7C6t17xer6qqqlRQUKDKykq7ywEAAEgIDz/8sL797W93aZ84arA++K/b\nbKjo9B2tbVTpjT9VS5uvS9+gQYO0Y8cOeTweGyoDAADJwI5synwIY5Lyer269tpr7S4DAAAAcaaH\nfS7j0oDcTH195iT9Ytk7Xfr279+vxx9/XN/85jdtqAwAACA2kn7qOgAAANBf3X3DxUpLdZv2LViw\nQC0tLRZXBAAAEDsEnQAAAEA/VZifFXatzkOHDum//uu/LK4IAAAgdgg6AQAAgH7srus/pwxPimnf\nAw88oJqaGosrAgAAiA2CTgAAAKAfG5CbqTvmTDHtq6mp0QMPPGBxRQAAALFB0AkAAAD0c9/9wueU\nnZFq2vfoo49q165dFlcEAAAQfQSdAAAAQD9XkJOuH9w03bTP5/Pp+9//vsUVAQAARB9BJwAAAHBc\nMBi0u4SYuWPOFJUW5pr2Pfvss3rnnXcsrggAACC6CDoBAACAHhiGYXcJfeZJcevBmz8ftv+2226T\n3++3sCIAAIDoIugEAAAAksQNl35Gk0YPNu3btGmTHn30UYsrAgAAiB6CTgAAACBJGIahn992Vdj+\nH/3oR9q/f7+FFQEAAEQPQScAAACQRKaeU6ovf/58077GxkZ9+9vftrgiAACA6CDoBAAAAJLM//va\nDOVmekz7nnvuOb344osWVwQAANB3BJ0AAABAkhmYl9ntxkT/8pW5qq6utrAiAACAviPoBAAAAI4L\nBoN2l2CZW66aqImjzDcmOlTdoDvuuMPiigAAAPqGoBMAAADogWHYXUH0OZ0OPfbtq+V0mP9K8N//\n/d964YUXLK4KAADg9BF0AgAAAEnq/LMG6fv/95Kw/V//+td16NAhCysCAAA4fQSdAAAAQBL74T9P\n12dGFJn2HTlyRF/60pfU0dFhcVUAAAC9R9AJAAAAJLEUt0uL775OLqf5rwarVq3ST3/6U4urAgAA\n6D2CTgAAACDJnTeyRD+4aVrY/h/84Adas2aNdQUBAACcBoJOAAAAAPrB3OmacvZQ075AIKAbbrhB\nlZWVFlcFAAAQOYJOAAAAAHK7nHrq369XbqbHtH/fvn364he/KJ/PZ3FlAAAAkSHoBAAAAI4LBoN2\nl2CrYUV5euLOOWH7X3/9dd11110WVgQAABA5gk4AAACgB4YMu0uwzLUXn6NbZ302bP8jjzyiP/zh\nDxZWBAAAEBmCTgAAAACd/Py2KzVx1OCw/V/72tf0xhtvWFcQAABABAg6AQAAAHTiSXHr+f+4SYV5\nmab97e3tmj17tjZv3mxxZQAAAOERdAIAAADoYvCAHP35xzfJ7XKa9tfV1amsrEwVFRUWVwYAAGCO\noBMAAACAqannlOqXd8wM219RUaGysjJVVVVZWBUAAIA5gk4AAAAAYX3t/0zSt6+bGrZ/8+bNuuKK\nK1RbW2thVQAAAF0RdAIAAADo1s++XqYvfvGLYfs/+ugjff7zn1d9fb2FVQEAAHRG0AkAAAAcFwwG\n7S4hLjkcDv3hD3/QxRdfHPaaDz74QFdeeSVhJwAAsA1BJwAAANADw7C7Avt51vxCy797ic4ZXhj2\nmnfeeUeXXnqpjh49amFlAAAAxxB0AgAAAIhIXlaaVv10vkYN8Ya9Zt26dbr44otVXl5uYWUAAAAE\nnQAAAAB6oSg/S689dLPOHFQQ9ppt27bpoosu0rZt2yysDAAAJDuCTgAAAAC9UuLN1msPfVXDi/PC\nXrNv3z5NnjxZq1atsrAyAACQzAg6AQAAAPTakIG5euPnt+isweGnsdfV1amsrEy//vWvLawMAAAk\nK4JOAAAAAKdlaGGu3n7kazrvzJKw1wQCAd1+++269dZb1dbWZmF1AAAg2RB0AgAAADhtA/My9frP\nb9bnzh3W7XWPPfaYpk6dql27dllTGAAASDoEnQAAAAD6JCfTo5UL5+nai8d2e926det0/vnn64UX\nXrCoMgAAkEwIOgEAAAD0WbonRc/+6Ebdc9O0bq+rq6vTnDlz9NWvflV1dXXWFAcAAJICQScAAACA\nqHA4HPrPr16hJd//glLczm6vffLJJ3Xuuedq9erVFlUHAAD6O4JOAAAAAFE19/Lz9OYvbtGQgTnd\nXldeXq7LLrtMt9xyiyorKy2qDgAA9FcEnQAAAACibvLZQ7X+N9/UlZ8d1eO1TzzxhEaNGqXf/va3\n6ujosKA6AADQHxF0AgAAAIiJgpx0/eU//1kP3vx5OR3d/+pRXV2tf/mXf9FnP/tZvfHGG9YUCAAA\n+hWCTgAAAAAx43A49L3/e4neffRfNHrogB6vX7t2raZPn66ysjJt2LDBggoBAEB/QdAJAAAAIOYm\njRmij37zDX3nCxfJMIwer1+5cqXOO+88feGSc7XuN9+QXn/w2AcAACAMgk4AAAAAlkhLdeuhW6/U\nm7+4WWNKex7dKUnL3tqsCV//lS6/60n9bd0OBYPBGFcJAAASFUEnAAAAAEt97jPDteG339T/+9oM\nZXhSIrrnb+t26PK7ntTYsWP1yCOPqKamJsZVAgCAREPQCQAAAMByKW6X7rrhYm37w7f1xWnnRnzf\n1q1b9a//+q8qKSnRP//zP+vll19We3t7DCsFAACJgqATAAAAgG0GD8jRn350oz749W269LwREd/X\n2tqqpUuX6qqrrlJRUZFuueUWrVixQi0tLTGsFgAAxDOCTgAAAOA41n+0z8TRg/W3n31Vryz8ii44\na1Cv7q2pqdETTzyhK6+8Uvn5+ZoxY4YefvhhbdiwQX6/P0YVAwCAeOOyuwAAAAAg3kWySzj6zjAM\nXTFxpC6fcKb+tm6HfvL0m3pt/a5ePaO1tVWvvPKKXnnlFUlSZmamJk2apClTpmjcuHEaO3asRo4c\nKbfb3bviTt3xffr3u708EAiorq5OtbW1qq2tlWEY8ng8ysrKUklJiRwOxpwAABBtBJ0AAAAA4oph\nGLp8wkhdPmGkPtxWoZ89+7aef3uL/IGOXj+rsbFRr732ml577bVQm8vl0siRIzV06FANGTJEgwcP\nVklJiXJzc5Wdna3s7GxlZGTI4XCEQu7g7kNqavWpsaVNjS3tajzw36qqqtKRI0c6fQ4fPqzKykrV\n19eHrcnj8Wjs2LEqKyvTjTfeqLPPPrv3/0gAAKALgk4AAAAAcWvi6MH6049u1OHqBv1+5Uf67Usf\naPfBvu247vf7tXXrVm3durUPT1l62ne2trZq3bp1WrdunR544AFde+21euihh1RaWtqHegAAAPMl\nAAAAAMS9wvwsfe//XqIdS76rv/1svm6+coLys9PsLisq/vznP2v8+PF6+eWX7S4FAICERtAJAAAA\nIGE4HA790/ln6vE75+jgc9/XSwu+rK/MuEDFBVl2l9YntbW1uvrqq/XXv/7V7lIAAEhYTF0HAAAA\nkJBS3C5dOXmUrpw8SsFgUJt2HdLKDz7Vq2u3672t5Wpu9dldYq/4/X5df/31WrdunUaPHm13OQAA\nJByCTgAAAAAJzzAMjTujWOPOKNbdN14ifyCg/911WO9u2av3Pi7X/+4+rG37jqrN57e71G41Nzdr\n7ty5ev/99+V0Ou0uBwCAhELQCQAAAKDfcTmdOm9kic4bWaLbZ0+RJAUCHdp1sFof7z2iPYdqVHG0\nXhVH61TenhXaKb2urk7Nzc1hn5vqdikzLUWZaSnKzvBoYG6GBuZmqDAvSwPzMjQwN1MDcjJUkJOu\n3AyP8rLSlJPhkdNpqKXNr/2VdXp/a4V+85cP9OEnFabvWLdunZYuXaovf/nLMfm3AQCgvyLoBAAA\nAJAUnE6HRg72auRgb7fX+QMBtbT5FQwGJUnHfyjd45bbdfqjLD0pbuVlpemc4UX6yozzdc8Tr2rh\nM2+ZXnvffffppptuksvFr2wAAESKzYgAAAAA4CQup1NZ6anKzvAoO8OjnMxjn76EnKdyOBx68JbP\n65qLzjbt37Nnj1asWBG19wEAkAwIOgEAAADABoZh6JFv/B+luM0D1Mcff9ziigAASGwEnQAAAABg\nkyEDc/XlK8437Vu5cqXq6+strggAgMRF0AkAAAAANrrlqomm7T6fT6+88orF1QAAkLgIOgEAAADA\nRhNGDdLw4jzTvpdeesniagAASFxxEXTu2LFDP/rRjzRhwgQVFhbK4/Fo+PDhKisr0+LFi9Xc3Bz1\ndy5evFiGYfT688wzz0S9FgAAAADJyzAMzZwy2rTv7bfftrgaAAASl61BZ0dHhxYuXKixY8fq/vvv\n17p163TkyBG1tbVpz549Wrlypb7yla9o/Pjxev/99+0sFQAAAABi5ooJI03bd+3apcOHD1tcDQAA\nicll58vvvPNO/eIXvwidOxwOnX322crPz9eOHTt04MABSdL27ds1ffp0vfHGG5o0aVLU6/B4PLrk\nkksiura4uDjq7wcAAACQ3CaPGRq2b82aNZo9e7aF1QAAkJhsCzqfeuqpTiHnpZdeqt/+9rc644wz\nJEnBYFD/8z//o/nz56umpkYtLS2aNWuWtm7dqrw88/VrTldhYaFWrlwZ1WcCAAAAQKQKctI1aohX\nn5RXdulbt24dQScAABGwZep6W1ubvve974XOJ02apBUrVoRCTunYOjWzZ8/WK6+8IpfrWB57+PBh\nLVy40PJ6AQAAACDWJo4abNq+ZcsWiysBACAx2RJ0LlmyROXl5aHzxx57TCkpKabXTpw4Ubfeemvo\nfNGiRWpoaIh5jQAAAEg+wWDQ7hKQxMYOKzRtJ+gEACAytgSdy5YtCx1PmTJF5513XrfX33bbbaHj\nlpYWrVixIma1AQAAAKcyDLsrQDIYO2ygafuOHTvU2tpqcTUAACQey4PO5uZmvf7666Hzq666NsLS\nvQAAIABJREFUqsd7Ro8e3Wla+4svvhiT2gAAAADALuFGdHZ0dGj79u0WVwMAQOKxPOjcsmWL2tvb\nQ+cXXnhhRPdNnTo1dLxx48ao1wUAAAAAdhpWlKtUt/l+sXv27LG2GAAAEpDlQefHH3/c6XzkyJER\n3XfmmWeGjj/99FMFAoGo1VRbW6vrr79eI0aMUHp6ujIzM1VaWqqysjItXLhQBw8ejNq7AAAAAMCM\nw+HQ0MIc0769e/daXA0AAInH/M+FMXTyXyJdLpdKSkoium/o0KGh4/b2dh04cEBDhgyJSk11dXV6\n9tlnO7U1NTVp3759Wrlype6991594xvf0IIFC8JummSFKVOmRHxtXV1dDCsBAAAAEAvDCvO0vaKq\nSzsjOgEA6JnlQefJO6ZnZWXJ4YhsUGlOTue/bEZz53XDMDR8+HCVlJQoJSVFlZWV2rp1q3w+nySp\nra1NDz30kN59912tWrVKGRkZUXt3b7z33nu2vBcAAACANYYV5Zm2M6ITAICeWT51vbGxMXTs8Xgi\nvi8tLS3sc06Hy+XS1VdfrWXLlqmmpkY7d+7U22+/rdWrV2vjxo2qra3V7373Ow0aNCh0z5o1azR3\n7tw+vRcAAAAAwiktzDVtZ0QnAAA9s3xEp9/v/8fLXZG//tRrT4y2PF1z587tNrRMT0/X/PnzNWvW\nLF122WWhDZCWL1+ulStXasaMGX16/+mYPHlyxNeuXbu20781AAAAgPgXLuhk3wAAAHpmedCZnp4e\nOm5tbY34vlOvtWr6uNfr1fLlyzV69Gi1tbVJkh555BFbgs41a9ZEfK3X61VVVde1fQAAAADEr8K8\nTNP2I0eOKBgMyjAMiysCACBxWD51PTPzH//H3dLSEvF9zc3NYZ8Ta8OGDdMNN9wQOn/zzTdDoScA\nAAAAREu4oNPn86mmpsbiagAASCyWB51erzd03NjYGPFam6dO1Tj5OVaYPn166LilpUXl5eWWvh8A\nAABA/xcu6JSkw4cPW1gJAACJx/Kgc/To0Z3OI909cN++faHjwsJC5eaar10TK8XFxZ3OKysrLX0/\nAAAAgP7Pm5Mhh8N8ejpBJwAA3bM86Bw7dmyn8/Xr10d030cffRQ6HjNmTFRrisSpU+dP3QUeAAAA\nAPrK6XTIm5Nu2kfQCQBA9ywPOktLS1VaWho6f+utt3q8p62tTe+//37ofNq0abEorVubN2/udF5Y\nWGh5DQAAAAD6v8K8LNN2gk4AALpnedApSbNnzw4dL1u2rMfd159//vlOIyqvueaamNVmpqOjQ888\n80zofMSIESoqKrK0BgAAAADJYUCYEZ3V1dUWVwIAQGKxJeicN2+eDOPYujM1NTV65JFHwl7r8/n0\nk5/8JHR+wQUX6DOf+UzMazzZww8/rC1btoTO58yZY+n7AQAAACSPvCzzZbJqa2strgQAgMRiS9A5\nfvx4XX/99aHz++67T6tWrepyXSAQ0G233aZNmzaF2hYsWBD2uScC1BOfcP74xz/qxz/+sY4ePdpt\nnYFAQAsXLtRdd90VasvOztbdd9/d7X0AAAAAcLpyM82DzpqaGosrAQAgsbjsevFDDz2kt99+W/v3\n71dra6uuvPJKzZ07VzNnzlReXp527Nih3/zmN1q3bl3onvnz5+uKK67o87urq6t133336f7779e0\nadM0depUjR07VgUFBUpJSVFVVZXWrVunp556Srt27Qrd53Q6tXTpUnm93j7XAAAAAABm8sIEnYzo\nBACge7YFnSUlJXrppZc0Y8YMHTp0SH6/X4sXL9bixYtNr589e7Yee+yxqNYQCAS0evVqrV69usdr\nvV6vnnzySc2cOTOqNQAAACB+BINBu0sAlJvpMW0n6AQAoHu2TF0/Ydy4cdq8ebPmzZuntDTzv1qW\nlpbqscce0wsvvCC32x2V906aNEllZWXKzs7u8drCwkLdc8892rx5MyEnAABAkjIUflkkINrCBZ1M\nXQcAoHu2jeg8oaCgQL///e+1aNEivf766yovL1dDQ4MKCws1evRoTZ48udv1Nk/W3YjQk1144YV6\n+eWXFQwGtWPHDm3btk0VFRWqq6uT3+9Xdna2vF6vzj//fI0aNSri9wMAAKB/qm/1ac2uKk0ZUWB3\nKUgC4dboZEQnAADdsz3oPCErK0uzZs2y9J2GYWjkyJEaOXKkpe8FAABA3wWDQfl8PrW2tqqtrU2t\nra2h4/b2dvl8Pvn9/k4/Tz4OBAIKBoPq6OgI/Vy7dq3pu6rqmvTSO5u1fUeWDBlyOAw5DEOGIbmc\nDrldzmM/nU65XcfO3S6n3E6HXE6HUtxOeVLc8qS4Qp9Ut4s/qMMUa3QCAHB64iboBAAAQHLz+Xxq\namrq9Glubu7SdnKw2dHREbX3r9lZpd0795vX5g/oYGW9XAFft88or2np0jYkzzy0MgxDqW5Xp/Az\nw5Ny7JPmVmZaqjI87n+0eVKU4nYSjiaBcFPXGxoa5Pf75XLxaxwAAGb4f0gAAADEVDAYVGtrq+rr\n69XQ0KD6+nrTT2trq6V1rdlZZen7ThUMBtXa7lNre/fh6clcToey0lOVne5RTkaqsjM8yk5PVXbG\nsbbsjFRleFIIQxNcdkZq2L7Gxkbl5uZaWA0AAImDoBMAAAB95vP5VFtbq5qami6f2tpatbe3211i\nVJiN2OztPeFGeEZyvT/QoZqGFtU0tIS9x+kwdM6QfOVlpikv6/gn0xM69qREZ4NPxE5mWvigs6mp\niaATAIAwCDoBAAAQkUAgoOrqalVWVoY+J8LMhoYGu8vrkd0jOE9Xb8PVQEdQ1fXNqq5vNu1PS3Uf\nDz/TVJCdLm9Ourw5GSrITldqCr8exIMMT/gwuqmpycJKAABILHyTAQAAQCfNzc2hILOqqqpTqGm2\nJuapAeKUMwp61R+JnkLK03lmvDidUaJ90dLmU0ubTwcq67v0ZaWnypuTEQo/vdnHfmZnpDId3kIZ\nnpSwfY2NjRZWAgBAYiHoBAAASFJ+v19Hjx7VkSNHdPjwYR0+fFhHjhyJ+ehMs9Cyp3A00me63G65\n3Klyut36/LmD5HK55Ha75Xa7tTtwRE6nW06XSw6nUw6nS4YkGYYMh0OGDDXUHNX29Wu6PD8rPVUT\nxgw9tjt7MKhgUKHjjo6g/IGA/IGO0CcQ+nmsvd0fULvPr2DQmmCzt9PlT2hoblNDc5t2H6zu1J6a\n4tLA3EwV5mVqYG6GCvMyVZifyTT4GElLdcswDAWDwS59jOgEACA8gk4AAIB+LhgMqq6uLhRmngg0\nq6qqorpreV+cGmy63G65Uz1K8aQrxZOmVE+aUjzpx9vS5HKnyOVOkTslVa4TH3eKHA5H6BmnTtwe\nf3HPdezZut60PSMtVePPGtzb/1idBINB+fwBtfuOhZ5tx8PPY5+A2tr9amlrV0vbsQ2KToy8bPcF\n+vTeaGhr96v8SK3Kj9R2as/J8Ghg3rEA9MTHm5Pe6b8H9J5hGMrwuNXY0nVtW4JOAADCI+gEAADo\nR4LBoGpra3XgwAEdPHgw9GluNl+vsSens65ld/c4HA55MjLlSc9UavqJnxnynDhOOxZmutzhp+4m\nKsMwlOJ2KcXtkhR+s5lT+QMdajsefDa3tqu51afGljY1tbapuaVdTa3tamppl8/fu0A0Gpsk1TW1\nqq6pVdsrKkPtLqdDRflZKi7IUklBtooLsjQgJ0NOJ+Fnb2R4Ugg6AQDoJYJOAACABBUMBlVTU9Ml\n1GxpsXbNx5M5HA6lZWYrLTNb6Vk5oZ/Hws0spXjSWOuxl1xOh1xpqcroZifuYDCodn9ATS3tampp\nOz4FvVUNTa2qb2rVoYa2PgehkfIHOlRxtE4VR+s6/WcozDsWfh4LQLM0MDeT8LMb4dbpZI1OAADC\nI+gEAABIEM3Nzdq/f78qKipUUVGh/fv3q7W1Nez1sVgLUzoWZmZk5yojJ0/p2XlKz8pRema20rJy\nlJqWwbRlGxiGoVS3S6lul/Kz07v0B4NBtbb71dDUqobmVtU3t6m+sUV1jS2qbWxRuy8Q07VD/YEO\n7a+s0/7Kf4SfTqdDxflZGjwgR4O82Ro8IEe5mR6C8OMy08yDTkZ0AgAQHkEnAABAHAoEAjp8+HCn\nULOqqveh5Kl6E2ymeNKUmZOnjOw8ZeQc/2TnyZORRZiZYAzDUFqqW2mpbg3Mz+rUFwwG1dLmC4We\ndY0tqm049rOxpU0m++FIOr0RnydPjw+YjPzM8KRo8IAcDR5wLPgsKchWakpy/soSbkQnQScAAOEl\n57cGAACAONPQ0KDy8vJQsHngwAH5/f5u7zk1tDx1tGakXG63MnMLlJVboMw8r7LyCpSZW6CUVM9p\nPQ+JxTAMpXtSlO5JUbE3p1Of3x9QbWOLquubVdPQfOxnfZOaW32n9a6ew9EWNbW265Pyo6HaBuZm\naJD3WPg5tDBXBdnpSTHqM4MRnQAA9BpBJwAAgMWCwaCqq6u1d+9e7du3T/v27VN1dXWnayKZdn6q\nnkZrGoahjJw8ZebmKyv3H4FmWmZ2UgRH6D2Xyylvbqa8uZmd2lvafKqpb1Z1fZOq65tDQWgg0BHV\n9weDQR2uadThmkZ9tH2/pGMjHYcW5mrowFwNHZijovysfrnWZ4bHbdrOGp0AAIRH0AkAABBjHR0d\nOnToUKdgM9ajsgyHocycfOUUDFRW/kBl5w9Qdr5XTpd5eAL0RlqqW2kDclQy4B8jQDs6gqptbFFl\nbaOq6ppUVdeoytom+XsZfva0G/y2g3XadrBO0l5J0ogBmRo8IEdDB+Zo6MBcDR6Q0y+mu6enmv9v\ntbt1eQEASHaJ/w0AAAAgzvh8PlVUVGjfvn3au3evKioq9ObWg52uOZ1p5uFGbBoOQ1m5BcouOBFo\nDlRWXgGhJizlcBjKz07vtBlSR0dQdU0tqqptUuXx4LOqrqlXO8D3NN3d5w9o98Fq7T54bFS0YRgq\nys9UaWGehg7MUWlhXthp4PEs1W3+qxpBJwAA4RF0AgAA9JHP51N5ebn27Nmj3bt3a//+/eroiO4U\n3pOlZ2Urx1ukXG+RcgYUHQs1nXytQ/xxOAzlZaUrLytdZw4ZIOnYdPS6xhYdqWnU0ZoGHa1tVHV9\nszo6wux61EvBYFAHqxp0sKpB7318rG1gXqaGFeZpWFGuhhXlKT3MRj/xxBNmVGpbW5vFlQAAkDj4\nRgwAANBLfr9fFRUV2r17t/bs2aOKigoFApGPUDMTbrSmy52iHG+hcr2FyhlQpJyCQqWmpZteiyiI\nTtaGbhiGodysdOVmpeusoQMlHRuVWVnXpKPVDTpS06AjNY1qbm2P2juP1DTqSE2jPthWLkkqzMvU\nsKI8DSvKU2lhblwGn+FGdBJ0AgAQHkEnAABAD/x+v/bv3x8asVlRUdHjjuinKys3XzkDjo/W9BYp\nIydPDkf/22gl0bBZU2y5XU4VF2SruCA71NbU0nY8oGzQkeoGVdY2KmAy6tNsavup63qeau2uo1q7\n62jofMKIARpWlKfhxXkqLcxTWpj1Ma0UbkQnU9cBAAiPoBMAAOAUgUBABw4cCI3YLC8vl8/ni+o7\n1uysksPhUHbBQOUNLNH5l05R7oBipaR6ovoeIFFlpKVqeFqqhpccW8/W7w/8//buPT6uus7/+Hvu\nM8nkMpN70vSSUihVitwKLQ+UIiLoA7ZlteDKamV1VdRdH7vsD8ULqIiou4vgBVR00bJ4g6IigvgQ\naF2l1RZsbamlt6ST+22STJLJ3H9/THNImkwySSaZTPJ6PpjHnHNyzplPYJjMeZ/vRR29A2rr6lNb\nd0Bt3X0KR8ZvST3ZuJ6nG57Zffchn0wmk9His67Kq2UVxVmZ3CjVa9KiEwCA1Ag6AQDAopdIJNTR\n0aFjx47p+PHjamhoUDicutvs6d3M051YyGqzq7isUp7yannKq1RUWsGEQUCarKe1+ozHE+oJDKq1\nq0+tp4LPgeDMu7snEgm1dgfU2h3QrldOymw2aUlZkeqqvFpR6dGSsiJZLLPfyprJiAAAmDqCTgAA\nsCgFAgEdP37ceAQCgWmfK1Xw6Xa7tXTpUi1btkymExG5PaV0QwcyxGw2yVuUL29RvtbUVSmRSKg/\nGFJbVzL0bO3qkz8wtZad44nHEzrZ1qOTbT16QZLdZtWyimLVVXlVV+VRucc9K0MbMBkRAABTR9AJ\nAAAWhXA4rIaGBh0/flzHjh1Te3t7xl/D4cqTt6JGfWVL5K2skbmgWE0mk5r6pML0Gn0CmCaTyaSC\nPKcK8pzGDO+DQ2G1dPWptbNXLV196slA8BmORHWksVPP/TU5sZHLYVNVaZGuecNS1VV7VeyeeHzQ\ndDlslnG306ITAIDUCDoBAMCCFI/H1dLSYnRH9/l8054ZPdWM6HanS97KGnkrauStXKL8Qg+T1gDz\nSJ7TrpU1pVpZUypJGhgKJ7u6nxZ8pjOmZ6oJjoKhiI43deqXgwOSJG9hntHac3mlZ9ozujvt4w9r\nQYtOAABSI+gEAAALht/vN4LNEydOKBicPLxIFWKOx+ZwyFuxRN7KJfJW1Mhd7CXYBHJI/njBZ2ev\nWjr71NLVq97+mbeW7O4bVHffoPYcbpTJZFKl130q+PRqaUWxbNbxW2qejhadAABMHUEnAADIWcFg\nUCdOnDC6o/v9/oye32Z3yFtRI8+pVpsFnlKCTWAByXfatXJJmVYuSXZ1HwiG1NLZp+bOXjV39Ko/\n+FrryanO5C4lJzZq6QqopSugPxxokNVi1lJjfE+vqkoKUn6mpJqMiBadAACkRtAJAAByRiwWk8/n\nM4LN5uZmJRKJCY+ZSotNs9ksT3m1SqprVVJVqwJPGZMHAYtIvsuhM2rLdEZtmRKJhAIDQ2o6FXo2\nd/YqFI6mPPb0IHS8ru7RWFzHm7t1vLlbUrJr/YpKj+qqk8Gnp+C1Y5iMCACAqSPoBAAA81YikVBH\nR4cRbDY0NCgcDk94zFSCTUkq8JSotGqpvFW18lZUy2Idf1w8AIuLyWRSodulQrdLZy+vVDyeUFff\ngFo6etXU2avWrj7FYvEZvcbgUFgH69t0sL5N0ujxPVOh6zoAAKkRdAIAgHmlv7/fCDaPHz+uQCCQ\nct+phpqS5MzLV0nVUpVULVFJVa0crvyZlAtgkTCbTSordqus2K21q2oUjcXV3h1Qc2ePmjp61dnT\nr5ENzMfr6n56K8/x9hke3/NkW8+4ddCiEwCA1Ag6AQBAVkUiETU0NBjBZltbW0bPb7XZ5KmoUWnV\nUpVU1Sq/iJnRAcyc1WJWdVmRqsuKdOHZUigSVcuIbu7DM7pPl9ky/rAZsVhMjY2Nqqmp4bMMAIDT\nEHQCAIA5FY/H1draagSbJ0+eVCwWS+vYdFpwmkwmFZVWqKQqOc5mcWmlzJb0ZjkGgOly2KxaXlWi\n5VUlkpITGzV1DAefPRocikzpfBZz6hDzgQceUHFxsVasWKGVK1eqrq5ORUVFM6ofAICFgKATAADM\nOr/fr+PHjxuPYHD8lk7T6YouSXkFRSqtTrbY9FYukc3umEm5ADBj+S6HzlxarjOXliuRSMgfCKqp\no0fNHcnxPSPRsTd4RnZl9wdSd1GPx+MaGBjQgQMHdODAAUlSSUmJ6urqtHLlSi1fvlxOpzPzvxQA\nAPMcQScAAMi4YDCoEydOGMFmd3d3Rs9vcziSLTYra1VavVQud2FGzw8AmWQymeQtzJO3ME/nrKxW\nLB5Xu79fTe09au7oUcdp43tKkmmCFp3x+NhJkLq6utTV1aU///nPMplMqqmpUV1dnerq6lRbWysL\nLdsBAIsAQScAAJixWCwmn89nTCLU3NysxOlX7TNgNpvlKa9OhpvVtSrwlMlsHn/8OgCY7yxms6pK\nClVVUiidvdQY3zPZ1b1Hvf1DMk8w/uZkw30kEgk1NjaqsbFRO3fulM1m0/Lly43gs7y8nPE9AQAL\nEkEnAACYskQioY6ODmOczfr6ekUio8efO70b+vqVJVN6jQJPyalxNpfKU14lq80+47oBYD46fXzP\n/sGQ9h1t0mPP/WXc/f98okvOvGTX9nQ+WyORiI4cOaIjR45IktxutxF61tXVqbCQVvEAgIWBoBMA\nAKQlEAgYLTaPHz+u/v7+GZ9zZBjqzMtXdd1qlVYnJxFyuPJnfH4AyEXuvOT4nqkkxum6PhX9/f3a\nv3+/9u/fL0kqKyszQs/ly5fL4WCcYwBAbiLoBAAA4wqHw6qvrzfG2Wxvb8/o+e12u8pqlqmkeqlK\nKmvlLvbSlRIATrFMMDzH6ze8WYlEQl0tPu063j7hUCHptPjs6OhQR0eHdu/eLbPZrJqaGmM295qa\nGsb3BADkDIJOAAAgKTm5RXNzs9Fqs7GxcdJx4EaabMb0Xce7VVhSrtKqUy02y6p0ARfPmGcyObYs\nMBNWS+qgs9BbpoqlK6Xz1iscGlJ3a6O6WnzqavFpMNA74XnH+6weGYbG43H5fD75fD698MILstvt\nWr58uRF8lpaWclMKADBvEXQCALBIJRIJtbW16cSJEzpx4oQaGhoUCoXG3XeyEDOVvIIilVQlZ0b3\nVNTI7nDOpGQga4h1MNcmCjpj0dfGRLY7nKpcdoYql50hSRoM9CZDz9Zk8Dndz+9h4XBYr776ql59\n9VVJUkFBgerq6rRy5UqtWLFCBQUFMzo/AACZRNAJAMAikUgk1NXVZQSb9fX1GhwcHHff6V4Y2xyO\n5ARClclWm3kFRTMpGQAWLcuEQWc05c/yCoqUV1Ck2jNfr0QioUB3hzpbTqqrpVE97c1Taqk/bPTf\nhC6tDwS0b98+SVJ5efmo8T3tdiaOAwBkD0EnAAALWE9PjxFsnjhxQoFAIKPnN5vN8pRXq+TUBEIF\nnjKZJxhXDgCQnoladMbTDCtNJpMKS8pVWFKuutdfqFg0op6OVnU2n1RXi08Bf6cSicSYm1vpjOs5\nrL29Xe3t7dq1a5fMZrNqa2uN4LOmpoa/CQCAOUXQCQDAAtLf3z8q2PT7/Rl/jUJvqUoqa+WtqpW3\noloWqy3jrwEAi53FbJbJJI03bGwsFhm7MZ1zWm3JVvdVtZKk8FBQ3a2Np1p8+hTsT94Mm6xVf6px\nPuPxuBoaGtTQ0KDnn39eDodDK1asMILPkpISxvcEAMwqgk4AAHJYf3+/6uvr1dDQoPr6enV0dIzZ\nZ6bjsznz3MkL4+palVQukcOVP6PzAQDSYzGbFY3Fx2xPt0XnZOxOlyqXr1Ll8lVKJBIaDPSqu9Wn\nzmafulsbFQmPP25zOob/9rzwSrOkP2j9yhK53W4tW7ZMy5cv17Jly1RWVkbwCQDIKIJOAABySG9v\nrxFqNjQ0qKtrZiHmeKw2u7yVNclxNqtrlV/o4UIUALLAahk/6JxojM7pMplMyi8sVn5hsWrPPEfx\neFx93R3qPjWbu7+9WfH42FqGpXNTrb+/XwcPHtTBgwclSXl5eaOCz4qKCv7eAABmhKATAIB5KpFI\nyO/3G90A6+vr1dPTM+lxU23BabFa5SmvkrdyibyVtSr0Ms4mAMwHVotF0thQMxbLfNB5OrPZrOLS\nChWXVqjunAsVjYTlb29JBp+tPvV1d874NQYHB3Xo0CEdOnRIkuRyubR06VIj+KysrOTvEQBgSgg6\nAQCYJxKJhDo7O41gs6GhQX19fZMeN9Vg02w2q7is8lSwuURFpRWyWPhKAADzjcUyfuvG+BwEnaez\n2uwqq1mmspplkqRQcEBdrY3qbkl2dR8a7J/w+HQmPAoGgzp8+LAOHz4sSXI4HKOCz6qqKlkslgz9\nRgCAhYirGgAAsiQajaqlpUU+n08nT56Uz+fTwMDApMdNNdgcnnW35FSwWVxWKavNPt2yAQBzxJoi\n1JuNrutT5XDlq3rFWapecZYSiYQG+vzqamk81eKzUdFIeMavEQqFdOTIER05ckSSZLPZVFNTo6VL\nl6q2tla1tbVyOp0zfh0AwMJB0AkAwBwZHBwcFWo2NzcrmsbF6nQmEyrwlMhbuUQllUvkqaiRze6Y\nTskAgCyyWsbvth2fB0HnSCaTSe4ir9xFXi1bvTY5vmdXuzpbTqq7xaeejtYJx/dMZbxWoPX19aqv\nrzdet6yszAg+ly5dquLiYsb5BIBFjKATAIBZkEgk1NXVNSrY7OycfDyz6c6QXlDslaeiRt6KGnkq\nauRw5U3rPACA+cOSYnzKuRijcyaGh0gpLquU1q5TLBpRT0erutua5G9rUm9nW1pd2SeTSCTU3t6u\n9vZ27dmzR5LkdrtHBZ+VlZV0dweARYSgEwCADAiFQmpublZTU5N8Pp98Pp8GBwdn5bVMJpMKPKXy\nVFQng83yatmdrll5LQBA9qRs0TnPg87TWaw2lVTVqqSqVlIyqO3tbDsVfDarp6MlrRt96YSj/f39\neuWVV/TKK69Ieq27+5IlS4zngoKCDPxWAID5iKATAIApisfjam9vV1NTkxobG9XU1KSOjg4lEolZ\neT2T2aSikgp5yqvlqaiWp7yarugAsAhYUgSd82GMzpmwWKzynuqFIEnxWEy9Xe3ytzWpu61JPR0t\nikYiGXmtSCQyqru7JBUWFo4KPquqqmS3M3Y1ACwEBJ0AAEwgkUior69vVKjZ3NysSJoXYNPpim42\nm1VUWmF0Q2fyIABYnBZKi87JmC0Wecqr5CmvUt05FybH+OzueC34bG9RJBwac9x0u7/39fWNavVp\nNptVXl4+quVnWVkZY30CQA4i6AQAYITBwUE1NzerpaVFTU1NampqUiAQGHff6Y6neTqb3aHiskp5\nyqtVXFapotIKWay2jJwbAJC7zCmCtulM7JNLzGaziksrVFxaoRWvO1/xeFwDvd3ytzerp6NV/vZm\nBfvH/m0e7+9yOuFnPB5Xa2urWltbtXfvXkmSw+FQdXW1ampqVFVVperqaiY6AoAcQNAJAFi0BgYG\njFBz+Lm3t3fWXzevoMgINT3l1cov8nDhBAAYw5xiMqJ4PDbHlWSX2WxWgadUBZ5SLT2XwOH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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1ee761489b0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"eps = 1e-6\n", | |
"\n", | |
"# here's some function i was playing with.\n", | |
"# let's see how it affects a gaussian distribution.\n", | |
"fx = lambda x: sigmoid(2*x-1)\n", | |
"invfx = lambda x: (invsigmoid(x)+1)/2\n", | |
"\n", | |
"size = 2**18\n", | |
"X = np.random.randn(size)\n", | |
"Y = fx(X)\n", | |
"\n", | |
"L, R = -3.3, 3.3\n", | |
"standard_normal = lambda x: 1/np.sqrt(2 * np.pi) * np.exp(x * x / -2)\n", | |
"\n", | |
"x = np.linspace(0+eps, 1-eps, size)\n", | |
"y = sp.gradient(sp.integrate.cumtrapz(standard_normal(invfx(x)), invfx(x), initial=0), x)\n", | |
"\n", | |
"plt.hist(X, range=(L, R), bins=256, normed=True, alpha=0.5)\n", | |
"plt.hist(Y, range=(L, R), bins=256, normed=True, alpha=0.5)\n", | |
"plt.plot(x, y, color='k')\n", | |
"x = np.linspace(L, R, size)\n", | |
"plt.plot(x, standard_normal(x), color='k', alpha=0.5)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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ee+wxtWnTplQF1N87c+aM/vGPf6hp4wZ68Z4BSvvmJRckDTMknTqmEwf3GMas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BRURERETUE+n1As5eLkDK5XwYSliClb8uRuXsaI874yIwPNRXPHYoJRsPvrEDBWXVHT5XTEwM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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1ee75c4bb38>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# cool. now let's try SELU.\n", | |
"alpha = 1.67326324\n", | |
"lamb = 1.05070099\n", | |
"fx = lambda x: lamb * np.where(x > 0, x, alpha * (np.exp(x) - 1))\n", | |
"invfx = lambda x: np.where(x > 0, x / lamb, np.log(x / alpha / lamb + 1))\n", | |
"\n", | |
"size = 2**20\n", | |
"X = np.random.randn(size)\n", | |
"Y = fx(X)\n", | |
"\n", | |
"x = np.linspace(-alpha * lamb + eps, 3.3, size)\n", | |
"y = sp.gradient(sp.integrate.cumtrapz(standard_normal(invfx(x)), invfx(x), initial=0), x)\n", | |
"\n", | |
"plt.hist(X, range=(L, R), bins=256, normed=True, alpha=0.5)\n", | |
"plt.hist(Y, range=(L, R), bins=256, normed=True, alpha=0.5)\n", | |
"plt.plot(x, y, color='k')\n", | |
"x = np.linspace(L, R, size)\n", | |
"plt.plot(x, standard_normal(x), color='k', alpha=0.5)\n", | |
"plt.show()" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.5.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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