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@xiangze
Last active August 29, 2015 14:03
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{
"metadata": {
"name": "ParticleFilter"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Particle filter"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"which can be input arbitrary ODE(dynamical system)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The original code is https://gist.github.com/teramonagi/621668711f74840d0a32 in R."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Also refer to http://d.hatena.ne.jp/teramonagi/20140525/1400996808 in Japanese"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"My old article http://xiangze.hatenablog.com/entry/20120922/1348334113 in Japanese"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"#from itertools import accumulate"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def resample(w,sysnoise=True):\n",
" if(sysnoise):\n",
" r=np.random.uniform()\n",
" else:\n",
" r=0.0\n",
" cum=[0]+[int(sum(w[:i])*len(w)/sum(w)-r) for i in xrange(len(w)-1)]+[len(w)]\n",
"# print \"cum\",cum\n",
" return reduce(lambda a,b:a+b,[[i for j in xrange(cum[i],cum[i+1])] for i in xrange(len(w))])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def genlikehood(y,sigma):\n",
" return lambda t,x:np.exp(-np.dot(y[t,]-x,y[t,]-x)/(2*sigma**2))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def ParticleFilter(init,particlesize,dim,datasize,odein,likehood,lag=0,debugout=True,printout=False,sigma=0.0,sysnoise=True):\n",
" totloglikehood=[]\n",
" dims=(particlesize,lag+1,dim)\n",
" x0=np.array([np.array([init,]*(lag+1)),]*particlesize)\n",
" x =np.ndarray(dims)\n",
" xs=x0[:,0,:];xlag=[];ws=[];idxx=[]\n",
" for t in xrange(datasize):\n",
" #Prediction : p(x_{t}|x_{t-1})\n",
" for i in xrange(particlesize):\n",
" x[i,0,:] =odein(x0[i,0,:])[-1]+np.random.normal(size=dim,scale=sigma)#system noise?\n",
" x[i,1:datasize,:]=x0[i,0:lag,:]\n",
" #Likelihood : p(y_{t}|y_{1:t})\n",
" w=[likehood(t,x[ii,0,:]) for ii in xrange(particlesize)]\n",
" w=[ 0 if np.isnan(i) else i for i in w]\n",
" totloglikehood+=[-np.log(sum(w)/particlesize)]\n",
" #resampling\n",
" try:\n",
" index=resample(w/sum(w),sysnoise)\n",
" except:\n",
" print sum(w),\n",
" #Filtering : p(x_{t}|y_{t})\n",
" if(printout):print len(w),index,len(index)\n",
" assert(len(index)==particlesize)\n",
" for i,ii in enumerate(index):\n",
" x0[i,:,:]=x[ii,:,:]\n",
" if(printout):print t,x0[:,0,:]\n",
" xs=np.dstack([xs,x0[:,0,:]])\n",
" if(debugout):\n",
" xlag.append(x)\n",
" ws.append(w)\n",
" idxx.append(index)\n",
" size={\"data\":datasize,\"dim\":dim}\n",
" return {\"loglikehood\":totloglikehood,\"size\":size,\"lag\":lag,\"xlag\":xlag,\"x\":xs,\"w\":ws,\"index\":idxx}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 44
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Rossler Attractor"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"http://en.wikipedia.org/wiki/Rossler_attractor\n",
"\n",
"http://www.scholarpedia.org/article/Rossler_attractor"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rossler(init=[0,5,0],num=100,a=0.2,b=0.2,c=5.7,dt=0.05):\n",
" cc=[]\n",
" x=init[0]\n",
" y=init[1]\n",
" z=init[2]\n",
" for t in range(num):\n",
" cc.append([x,y,z])\n",
" x=x+dt*(-y-z)\n",
" y=y+dt*(x+a*y)\n",
" z=z+dt*(b+z*(x-c))\n",
" return cc"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def _rossler_n(init,term,interval,a=0.2,b=0.2,c=5.7,dt=0.05):\n",
" t=[init]\n",
" for i in xrange(0,term/interval):\n",
" t.append(rossler(init=t[i],num=interval,a=a,b=b,c=c,dt=dt)[-1])\n",
" return t\n",
"\n",
"def genrossler_n(term,interval,a=0.2,b=0.2,c=5.7,dt=0.05):\n",
" return lambda x:_rossler_n(x,term,interval,a,b,c,dt)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"particlesize=100\n",
"lag=2\n",
"gensigma=0.2 \n",
"syssigma=0.1#system noize\n",
"sigma=0.4 #observation noise\n",
" \n",
"term=10000\n",
"interval=100\n",
"\n",
"dt=0.01"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 31
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def test(param=(0.1,0.1,5.7),filename=\"normal\",draw=True,particlesize=particlesize,lag=lag,gensigma=gensigma,syssigma=syssigma,sigma=sigma,term=term,interval=interval,dt=dt):\n",
" a,b,c=param\n",
" rossler_n=genrossler_n(term,interval,a,b,c,dt)\n",
" #original time series\n",
" x=rossler_n([0,5,0])\n",
" #observed time series\n",
" y=np.array([[i+np.random.normal(0,gensigma) for i in p] for p in x ])\n",
" \n",
" likehood=genlikehood(y,sigma)\n",
" rossler_nn=genrossler_n(interval,interval,a,b,c,dt)\n",
" pf=ParticleFilter(init=np.random.normal(size=3),particlesize=particlesize,\\\n",
" dim=3, datasize=len(y), odein=rossler_nn ,likehood=likehood,lag=lag,sigma=syssigma)\n",
" print pf['x'].shape\n",
" z=[[pf['x'][i,0,t+1] for t in xrange(np.array(pf['x']).shape[2]-1)] for i in xrange(particlesize)]\n",
" print y.shape\n",
"# for i in pf['w']:print i\n",
" # for i in pf['index']:print i\n",
" if(draw):\n",
" import matplotlib.pyplot as plt\n",
" #observed time series\n",
" plt.plot(y[:,0],c=\"red\")\n",
" plt.plot(y[:,0],'ro',c=\"red\")\n",
" ##infered time series\n",
" for i in xrange(particlesize):\n",
" plt.plot(z[i],c=\"green\")\n",
" plt.plot(z[i],'ro',c=\"green\")\n",
" plt.show()\n",
"# plt.savefig(filename+'.png')\n",
" plt.plot(pf['loglikehood'])\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.random.seed(25)\n",
"a,b,c=0.1,0.1,4\n",
"test((a,b,c),\"normal\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(100, 3, 102)\n",
"(101, 3)\n"
]
},
{
"output_type": "display_data",
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7nECNiffChDMnhG1PK+8kpSSJ7GMt5qIku00dPZUnVz4ZMTO1oqmC7kA3do8F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htPLnuSQK9ba6/+278nvDNQaAeiwzEDcfrgLtncT6cf0xHv2wcREM9Axxt0jiA+VapwtfaJ31T/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\nK11P7YDnmU4+zIByy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},
{
"output_type": "display_data",
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4z/8EHnmkdbC/fh3IzQUmThQboTDYEykLgz0B6HiufXm52MJw/XpArQamTwcO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\nSUVORK5CYII=\n"
}
],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#test((0.2,0.2,5.7),\"chaotic\")\n",
"test((0.1,0.1,9.),\"chaotic\",particlesize=100,interval=40)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(100, 3, 252)\n",
"(251, 3)\n"
]
},
{
"output_type": "display_data",
"png": 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pLn6rdxhwm4z9898VhT0vs2Bm9ULIzsr2WVGOtMERF11LVpNl0TBiJ35CmIts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\nfJ0OxGewr52nb3iP30WEsa7GFD4bg0TZa5BArMODAFwzU9JqShKTz/7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grUHfkq4l/O6Z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w/5y78QGfZ5wCmQ2zvXRh15pZd6mhc1144rm+CUafgy7CsF/bLZs5laVkY4J4epF1zApbNnU5Tv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\nP/+zLYbW4igsLFR2796tXHXVVfo2s2Pft2+fkpaWp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},
{
"output_type": "display_data",
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5MBqNsFqtSEpKQn19fQiaHd1UDPv4+JGF/WDLPlyonj0HaClSBTTP3ul0wmQy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\nPRFRFGDYExFFgf8HP+QtPwEgYLYAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"test((0.1,0.1,9.),\"chaotic\",particlesize=100,interval=100)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0 0.0 0.0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0 0.0 0.0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0 0.0 0.0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0 0.0 0.0 "
]
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hVNw0WvpWCW6hJMYwcMTLO4CInx8zBpKSROTFe+9FN55Rz1eRkxO5M9eGZRUW\nGhoCF5/cXHEResNr8hw07DXaUgzBSD8SBNP0AY4H5iLa111tswyyRt7R+YiUr7dc8RHJskxFU4Xv\n31786kXz8axIznD+GzobyEkNNCACnLleryBp40KSkxMQHtjaEyjvpCel25N3kpJEMp6CZMncdzQ4\ncbCO9ING0EUTtmnmYzKJWAoH8zo2gQSXjriU6aOOZenXkPsEQn/vg6XfgGt0GE2LjaRvJSVG06TF\nAIf0Qd8B6PTTQ6bRh4QxRl9Fbm7kVkYMHbmAOeknJAhCDHNhCnrTqqUYIkF7u9BljRZlNB20rDT9\nAwd4aq1B2qogZPtBQJCSEr3j8xEVFPgidlQfUW17LWmJ/sD8t3e/bd6VKqi840dDZwO5aYHGRUDY\nZnOz+F+jrJidHUj6ZpZ+ss3oHdBdo4uuXsSYLXrfUdHHRfz0mp/S2tNKd5+4boJG0EVD+gNg6asW\n95rr1zBn0SJ6hxdRpyZjxUPP8DCDQMw0/VcMr7HbeMcmDkt5J+ZlE4ykf//90U3QTN6B6C64GDpy\nAes5qlm5FpVRzRD0po1G3lEjd4zNO559loQDB+j76KPwz72Zpp+XB9u3c+2WawEooID9FfuhHEpn\n+ZNizDo9Afo4fRQf0RVXcE/CH32PASqaKhibPdaXUHV069Gcdd1ZZKdl69sHWln6hkW/vrPe3NI3\nyjtm0g6YWvqmcfpW8o4l6Ytr3D3bTUVTBbc+fCvtve0gwwN3ino+w7YPo6qtisKsQrE7+uYb7tU0\nY/IVFVyzJvKsXCtLP8Q9GEcc/VZlRxUzOSUpxV9i5cEHEV0zCDsIpL7SJH13D/A1cDSi4XoMCR8O\nQ9IfkLIJO3f6682ceqrICuzr82dthgsrQo0mVt/sJktJgd7eyOZqVX9kyJCwdf2glUBVTTYSGKQd\nS4cfYZz7YPLOWOVtl+5DckmmTUWMnZ7o6BC7EbPEp150e+ldTbsozCrko/0fQQVUVlVy4HR/XoRv\nUbHS9G3KOwGWvlXlVBPfkpm8Yzs5CwIWpuNOPo6T2k+ibHcZ4F8w1bDNwqxCce727WPJT36iq+Xj\ncruFzylCS//O//s/EuLj6fvsM31gQVtb0HvmoREP8aN9P+Kk+05iy6+26J80LJIutxuX2809JRJI\n4XPQmT2i20aakprt67Z2tP51tmRGmzjs5J0BKZugtfSzs0XZ3s/DrImtRTBNP5aWviRFruubyTsg\nLPwwE7RMilzdAAAgAElEQVRcbjfFv/sdS4ASl0tfCTQaecdA+jE59yakX/bNN9z5zju+LMgyj8d2\npydfYpax5rvJd1vRVMHYLGVlKUdH+OBfVMKSd1IDr7OASpthWPphOXJNSH91+nZANEQHsRsxm6Mx\nVt81ZQp3T5pEyaZN+sYpkco7Mtyzezcl337rLzPi8QifQ1ZWoKyiwX8vEB74j3s+Dv99w8TXXV0g\nwQPn+Gty+QhegldffTWmhA+HIekPSNmE8nI/6UP0un4weSeWjlwYGNKPIILHNX06d+fkULJ5s/6m\njUbeUTtmKTA791IO3FP+BtJECWm8FLpOjkHTL/N4eGPFCu5WdyMyvLF4MSPizKswBnR6Mkg7PpgQ\n6q5GYekDwRcVC3lndfqzAJyWfBogErOsLH1b8o7hmCzLlo7c9t52ZG32qMX1uGCK+P3t0m8BqOuo\nIy8t0L9VkG5I0LK6ZwoKdPKOlC+Juj6vYnm+E/4lfo89239MZxxEanwpBG2KSHlZcbOcOu5U06ff\n2PlGhANb47Aj/ZiXTejthb17fRUxAcoGDeLOu++mZOZMf6JIOIi1I7e7W8QqJ5nEc0Uathlj0jeN\nDoGI4/TLPB7uXLmSkpde8p0D47mXcggsbpUUokCaQeooXbGCeysreVYtxNgvCOKszmGm7QcXXmVw\n0hlKMPhgZuk3ayz9YO0DLSz9BRnNIMO/bxMGSbDoHZ28Y+a8hoCFpauvizgpjuQE/fccHxdPSkKK\n0OVVWMk7hrep77Bn6VuSvsbSl/Il0ZnrfEQsu1KiwHi+7+ieAUDFNP1QPsMwUtIfiF7f2gYqJtha\nszXmb3nYkb5lNmmkZRN27xYXlkKoZR4Pb7z8MvdUVVGyebN+a2gXsXbkqjeYWdu4WFv6EWj6gHVs\neQSWvq8KaGWlbntecPrp+pIZiYhOQ9cClyu/hxL8qjbIO+ru4arvi8cnvCt+H5s8WNQ13wiZ/87k\npC9P8jUV0SGYpW+AztIvgqJP9OU/fIuK1XdpOP0NXUHkHTuWfpz+i9Ja+deOFE7tnGXic6QnGSpt\nmkWTQUA8uaWlb6y/Y4P0LTtzGTZFPuPAMBefYTgQpB+ppW9F+sp4lS0x6AltwICSfmFhIVOmTGHq\n1KmccsopMRnT5XZTfM45LBkxgpLBg1ly8snRlU3Q6vkolt+ePbqXhK0bxzpO38qqgsjDNgfC0reS\nnzo6wor9t9Luq957T4RDFhdTkpwsuhWZkYDFV0Vfn5iLhqz6kpOZMRh4Xfx8WgkzBisEUQh8D374\nkx9yxcIrzLNnNTH6Ohi+2365n8rmSj/pF8IDP36AUR+NYtxn4yjeXexfVGwmIwWTdwIsfRstMLV6\n/pPzRVppI2Lx0BVdk2VrudHAKPWd9aZhpbYtfa28Y5W4ZDg+Z9GigLnoDMOBIP14QIaeHqtaHhZQ\nSN/oRyFOjGdaJjtKDGj0jiRJbNq0iZxoelyawLV1K67HHoMXXhDt6WIVrkmMfAbBonciudisbjCI\nLGxTrQ1kRgQROHIBa+s0Ls6/MJlJDCYIdg5m3DBXWHZFWFtXVtmLqmyisXBfbd/H1iJ0qe9lL0NT\n217f4ylDp7CpYpP5mFVVcNppgccN321VaxVZKVmkJvr1KPdsN/Pi55EYn8ivZ/xaHOzrE41NTOrs\nGGE7OauxUeQ2hEBrT6ulzKCL4OnsFJVJzaJfDLuR+s56S0tfR/oNDeYZ1oMHC4Ohrc26NpLhuMvt\nho/EXEqmT8eblqbvVjeA8o5np4dLjrsk7KFNu4ghJLdYY8DlHTna/qhGlJcLSebss2HSJPgizH6U\nRhhIPyY+AytNP1p5xwyRWPodHSKU0qybVaSWfkuL9RzDlHiszsGy7YYa9VabB6vsRZPQxa3VX+jT\n6AEugq2N/utqcv5ka23VQt657p/CqkxQPHVqjL4ReWl51HXU+Q8Ek/IMsJ2cZbPZfUt3S4ATV4Uu\ngifY9WiYdl1HHbmpuSQo9uWjjz4KWFj6ZsahJPmrbUaQuFRSVqYPLICI7sMyj4df3H+XeNCDpdz7\no+d/FNa4odDbH8NUXAUDSvqSJHHOOedw8skn88gjj8Rm0L//HS67TFgZEyfGnPSjLrXc2SmsNTNL\nLdI4fSv9FCKz9K2kHYhc07dy5ELYpRiszgEgKhgOR7SpS0HUyVFRASgtm00zaM1i9K0kg1EwJl5Y\nx6esOoVv6r8JLFcMlvLOmv0iu7f3ZqFHVzRV+KUdDQJIP4w6M1bJWakJqcjI/jr2Ecg7Rugs/WCk\nr8gcvjl2CEu/+9di9zZ/z3wAslKy6PH2+CUjq90x+Orqy7Uy1CNKDz+HZWcuH6zWzTBJX/UxPX6y\nIvu2EuDnOx1xfdb2h3HvyLL1HBVYJolFgQGVd959912GDx/OgQMHmD17NsceeyzTp0/3PV9SUuL7\ne+bMmcw0ayatwJeF+8479E2cyByPB9cppwjSN1ThCwsG0vdl2d18M/GJiXjHjQuvkbl68ZrNJzNT\n3DDhVtoMZenHkvSzsvzlDywsblNYWPq+nrNXTrHdc9bldkNXF0suu4x4l8vfePvHc/0tB1U8DzyN\nv+3gVeJXKaWBGbRmpG9lSA2FW4tv5ebXbgZgVOYovqn/hon5BglCU4LBFA0NMGQIu5p2+SN3FKxe\nvZqRM0bqSd8qRt+Afrmf5q5mslICJTNJknxhm6mJqZbRO6qT9lrGA+aJWSp0ln4wudGAuo46ctNy\nRdNvwxwLMgqoaq1ifO740KSvOnNvEL9CVtgMhjBJX/Ux/eZy8Xjzk+BqKmfJgw/6eGHZuAXM2fGr\n8OZhUzLetGkTm7S9iKPEgJL+cMUCGjJkCJdccgkffPCBJekHQ0Am5ocfcsfixfDAA7gSE4Wjx1iU\nyw68XqiogKOO0h12ud24FiwQJ+Xee8MbM9jFGx8vbujGRnP5xwrBSD+SkM1gpB8X568vH853amLp\nW4VOmjYDN8B12mm4hg3TN97+KYEtBy9FkH5G4HMBGbRm5NeKvpxyBfBvIB9uvupmsZtIgW+mfMOk\npych/0szb69XfE/BSlYo5FLRVMEpI0Qwg7xURlomsWDvAj5K+ygiS7+5q5mM5AxLLTg7RYRtFmQU\nWFr6qpP2SUSLwdbuIJp+kk1LX4Neby9tPW2mCxP4JZ6QpB+LZioKyjweSv/wBxIqKugrLrZVxsPn\nY1LsNJeS16X1880+5hwIl/SDJIhNYBRfInYWRoN42bJl4b2PAQNG+h0dHXi9XjIyMmhvb6e0tJSl\nS5dGNJZl6dUHH8SlSjyRkP7evYLgzLTtIUPg4wgy8qz0fBWqMzcc0g9mWaWnC4khHAQjffDr+uF8\npy0t5q8fhT7C5hVgT+DLAmBGVGabowqEnGChHukyaM207X4gHRG9U4dYPK7SPL8B4TQeA3QbFqwD\nB8R4iUHq3iqkv6tpF1dMvCLgaVN5x4albyXtqNA5c4PJO5J/jsE0fV3IZjC5UYOGzgayU7MDrHwV\nOl3fgvTLPB5KX3uNhM5O+tatgzNCvq0lIi3j4fMxGT6Gzs9n45wFIAjpb7lmI2lrxoc/pg0MmKZf\nU1PD9OnTOeGEEzj11FOZO3cuc+bMiWisoBE1Eer6ZR4Pd156KSWtreYJWHl5wooLF8EsFojMmRtr\nR24o0o9E1zfT9IPEVYfMoDUjKmP5+QqgHLgG0XzCBLoMWhN5Z+1Ta+EUYA7ibrjYMMAs4Fvl76PR\nx4RbxehrobH0zTT9IYOGhCfvKOuNVeSOCp8zt79fjBksckopNWzWKlGFrtJmKEtfmaNV5I4KX1Zu\nV5dIkjQsJL58jR07KNm7l3tKS62d9zYQrIyH2o1LbayuhS0/XyT1/oOQfmowyTBKDJilP3bsWD79\n9NOYjBU0ombSJFEgLQzYWvG1NdbDgR3SD9eZ+x06cmdcOIOyijL42ZvQC65jXWx+ZbPpa3Uw0/TN\nDOAKhHWZqPzOsJB7TEh/7SNrmfvzuaAkUlGOX9IpQljlGomn6OMiFt4ibswyj4fShx4iQZbp27bN\nt613z3aDkpCVmZJIs5nIr12XtI5fqxh9LRoa8PZ72duyl9GZgc011FLLHb0d4m878o4sW9bdUeFL\n0Gpt9Td/DzJHEPLOsHRzsslIyqCmXQlZtCnvqJE7ZpDyJSgAkuDnjT+HLJANfjAzkgbsJUL9BRgH\n0j8kny9p6XEzTF8a39XFj/aJqBu1sboWLrdbhAp7gQSQxgHN5fxGuzuIMenbCdmNFIdFRm7QlTYC\nS99W4a5ISd8qMUtFJLH6A2Hpm8xxxoUzKHuvzH9AhrL3yphxofnNEjBHo4VqjKuuwG+ZXwJchrCc\nzdZ0E9J3z3az9vdrRT/StyC7UUNkhfgyaKWXJM7YcYYv2clnMe7aRUlFRWCWtSR+Tk2wsJzlwL/L\nPB7u/MUvKPn0U+tSHTLQ0MC+1n0MSRsSUN5ARV5aHgfalWvNjqXf3m6ZmKUiJzVHyDt2wjVV0g8V\np28nZFMDNXLHCF85hUsQvhSlD6xx12e6w7cRr+FbUM7Bn6k9yiTkV4E3JQVvkC2ElC8qaPIasM4/\nD918wwl6UBEsjDnSwBQbOCxI3+V2U/zrX7MkMZGSGTP0VRxV0g8jH8BWAlY08k4wvT5SSz+WyVkW\nln7Ze2XiZtSWNRiFfiGwgpkW3YKIo1ZRjt8if0v5fTy2SR+Etsz3gLNhmmR4v0Lge5BfkM/Nv7zZ\n58C1W51zUeLwgNIIvAmofv4GIFEjO3zxBSU1NQGLiJQvCR/BWpCeuIsxp46h9Y1Wy0YsOl3fjqbf\n1hYg76waKeSJxGViIVQduZZ1d7TQavpW8k4EjlxLS99M9rsI63IK4SKIrBhxOPZIZY7n4W9WrkUk\nJB3M0h9AHBakD+AaN467TzwxsPRqTo7YCu2x4x0UsJWAFWHrwJDyTiSWfihHbqzkHZu1TUxhQgRr\nn1oriPJN4B/APvySzNnK73LMt+sWpD9z00wAhpHNIjmXUR+O0j1f9HERc86Zo0umsptl7ZYTWf5f\ny5HeknB964LHEU7nXYhmFlWwctXKoIuIz4o9D5gCjAaugpYzWigtLGXxysUBxB9A+sGkAhlobQ2Q\nd+bPF/HvanP07FRF3rETo6/V9K1CNrVx+qFCNkNp+mGUUzCSNBDa2g8yvq+MR1ISS1wueyVcorkv\nLFDm8XD1H24RD/qsk70GAocN6bNrF4wNzGgEwpZ4bDlm4uMjah04YI7cYJp+uPKOVfajlexrpymz\niYXqnu0WcdWzYHR3vLjatGGVFcrvJJNkKqsyEQr2X1qGuy+OKy66gqEfDCX1rVTYCOU55Vx2/mVs\nrfWTvu0s68ZGJk6byPgfjGfzE5uRd8nIFbJYoK6B/3L9F/ctu481Ne9TXAAeA7nEd3XpCULrc1AP\nqTXzNdCRfih5px9obQ0ZveNz5Noh/YYGkOXgyVl2M3I1UGP0AxBGOQUfSQNL5syxx1hBxne53dy9\nbh0lEyZw95/+ZC//Jpr7wgTqTvGts7y+eYVd1DEKHF6kryl/rEOYpO+7mJKTKTn1VL1cpIUarx4O\nQmn6sZZ3Ymnpm90sFUAvofvEmjhyyzwen9W3e6dXf7VV4CfFKwm0gkOQlaQ0wkg8KpGbf3kzHZs6\nhOxTCJOH6ssm2M6ybmqisrnS1OFKBax9fS17p+1l9yXNlP4XLB6vJ35vSoreyrTZiCUsS9+Lqbxj\nhM+Ra4f0k5KgrS2kpq+L3gkWsikDXq+1pR9GOQUfSWdnc/czzwT/HOGMn51tv0G61SJi9PnbVJjV\nnWK10snxvM+DF3WMdSmbw6dd4q5dopWhCcr6+yn94x9JWLvWds9c1/nn45JlkfxjVVcnLy98Z67d\nOP1wEIT0pZNGi3DFiZLtjFdL0m9BaNHnKY8rgK3AtbAZ4QQz7RMry6ZzLF2xAk7HdzMc1emPfgxm\nBbtnu0OTlVLPZ1vtNm444QbdU2Myx9DW0yZquafl+rOsL7uM+MmT8WZn+7KsK5oq/P/Y1ERl825G\nDzYh/XLYP0vfq7X8MnjwYXDv97eHvOcnmqYXwWrmaxCWpt+BX94xs6IV+Cz9Jhukr+w+jXH6q0au\nYsHeBUjLJL788Zf2Nf1+oKPDUtP3tQR8DlFOYz/QFOK6DdHtynT81xHE3ELgfREO6au+KW2Npiia\nlRuTvX6i2KsBRR1lQBKJeFmp9ooV2nr/mI000KiogCuvDDhc5vHwxosvcu/+/b4SrLb6pra0CLIP\nVkgtkgiegQrZtCpxYJL8FDLj1YL0R/94FJXle8TNqP67IZ/ItE9sd7dwZBlklHuzlKbiSnz9ihr4\n/mvQcz6hreBQpJ+eDt3dfF7zOZPzJ+uekiSJyfmT2Va7jZmFMwEly3rQIFi7VpxXBSc/cDIA4xgH\nSfuprCs3t/Qt5vtVbjpLJp/pL9VxA8LKvJCgYaRv/Mu/OOSl5bGtZpt4YCHvnL78dACurcGWvONL\nzrJj6efkQGNjgLwzf/58FixbAIQp7/QDbW2W0TsA/FjzdyvIx4aozZWZGZbjUz5hNtKZ68XfZiUb\nwpBZU1NT6dzbKXxTjUA30CyORwKf3Kj4JoYoa4BVUceyijIunGB0KkSOw0veMdH0S1es4N59+3TH\nbNW/r63V3fymCJf0+/pClxCORNM3OM6kfJHYRBaBDqZhBE9+6uwUzum0NN8hz3oPxTcUU9m/B46C\npMGw9CtJWGEmCOgTa1VsTWnu3Pt78fu8Xhg0FnJfTRPZrybwWcGhyEqSaM3NoLa9lqOyjwp4esrQ\nKYGVMU2s6HrEArxj6Q7IyqKy7ltz0rew2o894RRdYIFcK0MfsB74AKgE3oBTvjlFXzNfg7y0POo6\ng8s773W/B8CTGfNtyTu+lolm9YYCXiyuSaMjV8qXoBR4AUaeNpKqBqUUQijS7wba2qw1fSOSCG4o\nQViWPhC6wF8Yln7H7g74IWLxVtaP1NRUcVwLmyqMT25UG6h0B48iWrdznenxSHF4WPp9faJf6qhR\nAU9FXP++ttayZsqYqWOobKsUF+NGGP3wcnZ/sjv0PBsaxMVp6EjkKzqWhF+CCT2aHxoNVWfdv4Vf\nG49DEGkSIqRMhdHyb2xU+reKK86z3sPca5Qa9UOBWujpgecLZbHtNsHmzYZ4Z6uyygmADAnKW78/\nAuKHJ/L8dc8x459zgyZT+eYZBJ8XpjJh8Cji4wLrM0wZOoWP9muS9tTrJFgYYFYWu5sqzElf6XRV\nPtUftVP0D1j4/34S+FoleUxeKkNmJoNu6mPDLzaIcFMThCXvKHkZDb02krM6G5EbG5BCWfrZ2fTW\n19Lj7fEli/muM20SvaxcSznHmDdFX71aDLcTYemHyMj1IR57pB9OB7YYkj4AgwAZ5C+C3LnKU129\nXaQkWisIqoHwmw/mArDyjLO5+H/+N1CZUBqpfFb7mf152sDhYenv3SsI2uSGjbj+vQXpj5k6hsp9\n+hZllfsqGTM1dBMKMz1fypcgF385YIBskI6z2chb7Y+rfk5tdEgL+hDIHAJrwxtDywzSztxr5vpj\n88cjdgo3wOfzgLOAVw3jvUngihWsrLKEiL5ISOB/i0dx3oTvi4u7ECiC4t3FDHp3EKd9c5rfCpZl\nU0tfWqb/rrYVJDB5kHlEV4Clbyf+PTubyrZ95qRfKDpdjfhoBOO3jqd459k8UJ2Ou/iCwNdq0Jaf\nBbJsSfgAQ9KG2I/eycjA29JsWWFTRWJ8IikJKbS21NmSd1rrq8hIykBS483NwhQlxLVs1RR9r5CC\nGhrPwtsq5pidErqksxg3xpZ+qIi2cEnfS+hQUcXIWf3R6pDD+Qhegvteej2oFB3rlomHh6VfUWEZ\nrjln0SKO2/YOO9I6kJNA6oHxHWn8JVTChQXpV+6rNNXJK/fY+OLN9Pw0BNnPQmz3M9F1aQqpwRub\namijQ+LRO0OtlnDt/xj1/GAhhoXK738gShrLwDhE7L0WBkvft7MZJl57z4E36C86mqcmdPHg3F/o\nxl+3dB03vXITJww7AfcpyoXf2Sl2SxYLd98SEYv+eV4/kxP9WTLXDL+Gp6qeQlom0XxbM18c+AJv\nv1fsBGyEGXqzMtnXfYBRmYE7ShDO6/kJIh5+WcHV8H5wwgeoGZbB0KS+oK/xZeT29IhdbTCtOCOD\n5ro9ZORmmO5wtMhJzaGhvY7BJqSvWuUAd27YQNv7b9B/QRdlHo8gIKtY9zRgf4jvMj2dxqZqMlMy\nQ87Rh+9a3glXZg0j9+rW0lv58ek/DvoaKV+C/wFkSJmQEjQAo6EjgsZLQXDQLf1J0ycJi1fRoCdN\nnxT4oiAx+n955Sm+zOigrwC8+dCXAl+mdTDjF3ORjpasSwhYyTtGC6cCsbXLtWjMoaDM4+HOhQsp\n+eorfVp+En4i3Y2e8O2MbSQrbfiYsTyHVb8F7f8YST9UiGEhgvDPxhcSGRDCprH0fbLAtfjT4EdB\nHN/Q3dvFicNPDHiLaSOm8eH+D/0HQuj5KpFsy+pmMv5z+NSdTwkN+kXInJRJR10H5Y2KHGPD0q/J\nTSY7bhApCda7RF9lSItSFgFjDkklP976fVevXk1uWi71nfXIqpUfLLszPZ2Gjvqg0o4K4cw1z3dQ\nrfLbnyzinooKFtTuZWRLtz9e3CpMUUZY+sFqw6SnU99SYzlHtXuWDxIhpTwyM1nVJJxDWYTwUfT3\nhw5jDtfSt4G/DJ4HQDvtQV8n5UsiozcO8dktylCo6OjrMD0eKQ4q6UvjJL74Wh9f/8XXXwQSf5AY\n/Wdee8ZPfl0IJ1I2kA8Mg7IdFrVjrEg/EUHGGxAhX+8gok+GQml5KXNvmRtAzr60/E8/paShQZ+W\nrzV0tPuqCoLHqaswbqWb8df/MJK8Gi2ihTG0zEj62pvbatFQDZAvgZeARPQLqpZQrRbNdODNfl57\n87WA4U8uODks0gcRu7wtrY1JPeJ1Og36EsSN1AHHzD0mcI4WqMyJZ3SINMuCjAL2t+23TnAzoCYn\niaEBq7M/omTB3gUkxSeRlphGc/2+0IW7MjKoD+HEVZGTmkNjd7P1dynjyyxuTRIORV8QhFmsexPi\n/kpONu+PqyI9nbq2Gksnrto9q/tOjT8uyWproSAri5uahJOpcWkIsm5v1wUqmGIASH/eGJsRNoOB\nVIRU2o7oB5FKQIbvu2P+EMvp+XBwLf0UAtqrAQELQTB5hwQEocwCJiC087n40/yHQNlWk9oxBw6Y\nR+904Cdjs/GGwtwb5+r+JWhtF+3OXvu3zWxNYyLMpcsvFdr7swhHq3aNKASqESUD1JZyxnZyRtJv\n1oxhtmg8j9ihPKrM+WJEGOc1ULZPWVC18o723q3QfM4LYM/0Ot/ClofwfUjLRHhlRVOFPyTQBunX\ntNeAJDFMNejMFpvtQJ+yi3p7Q2jSz+hntDd4nXidpW+H9AfHM7QvdH/lvLQ86uoqQ87Rs+trbv7s\nPXa+sDN4shxK/R1vm62G9C3JkKGGj3d1iWtmD4L4X0O0JmyHt558PnQ2bno69e11AU7ch0Y8pHuc\nFK9cLHakk6wswRd2EKxfs4pwSd/GHFOCNdPRogthSJ6DMIiuVh4bSoefcdp5xv+MCQ4u6U9DVMO7\nDl2BrwAEK8GQiJ88TYiUWZjrk1aWfrKN8QySqzGCyJMExQXwt+p/C2foiwgyjcfvGLWZrWmUd57f\n8zwUwf639iPvlDlmxjGc+HoOM/59DKM+GiWI+0plnoFKSoAsIdfKYmF7FeFz6AQ8MOP1oRS/O5G1\n/2+tiD1PQix+WlwIZV+V6R252p1DkIXtwFJ/KGxifCKT8yfzcZXStMYG6W+r2cZk8pFU7dZqsZmr\n7KI2/hVPd3DnXmVqD6O7rZll9erVYcs7tYNgaHdo11leWh51DXuDk34FLH7nUT6+oJnG0xqtd4eI\nqKwPnnif2/FS/D8XBV0cAFqTIUM5d2oQhFwri4X0fJB3yLhnumltPmCL9Os6AyWoH82Poml4VpZ9\nD2SwwAIVkYROh4Ld8sopBAZcXEQAr0RUrtkGBoz0161bx7HHHsv48eO5//77zV9Ujr1CRgZ5R41T\nlyZKttLeTTsuaUhfN542GMhqPMPFp40g8iTB3EwoTYPKvhb4BGElzEKE8k1GNO+2CIc0ZmtaOSCH\nDx3O9gPbaRnWwvsnX8Gmubew5/09Ygser7znOGCMQSs0s1BPBC4Q4WjX3n4tD618iE1nXM264htE\naeLvlVk79hLRW1ZaWcDuwgZMK5jmD7G0Q/q124QTVw3jC7XYuGp4sOVbgqEyqYPR7YHMopVi8gfl\n09DZQG99rT1LP9XL0I7Qt1leWh51LdXBb/RyKD9T3zbQbHfoWe9h8crF7Dt1PzsuDSIdSv6qk6q8\nEyxePCM5g9bWOnuWfndTgKUvRVMuOCvLPlvZidRS+1X3x7DxuN3uWcHuJS0OJ9L3er3ccsstrFu3\nju3bt/PMM8/w5Zdf2n937Yfv7hZSzEgRpRHg7LCjSZuF7CukHxBSqR3DOF4FwmKX9Y5XbW2XuZn4\nHZmXIfQ7bTemQuAqGNSLkGA0OGrLUSy8ynDDaTT9SffpfR2PfvIo846fR0L6YPG6TOBcw3xT0TuK\nDaR/1DJ/YlNffx+v73iduUfP1UVLTJ8+PXj9EY1lJdfKUK98T3YXNgzOXJNia77G0BXis/z23t+y\nYeMuPF+rmayEXmwMN1tXn/7CqIxrZXSIoI/4uHjyB+VT3bTXHukndJPfGppYvA1d/PXZxyh5/33r\n+vw2F9EVT6/Q5ROAhXSIUnXyzDN5blACXwwdHbTqZEZSBq3tjfYs/d5mW85m28jMtB9BY4f04+OF\nbGon9t9u7Ru7JG3Sp8f0eIQZv6EwICGbH3zwAePGjaNQsc6vvPJKXn75ZSZMmKB/odW90IvIOG0G\n+d1vBOHHa8x1bUhlBUHT3nkJApzpXq+wJnNz9SGV6nivIqJstONVoLMgSyn116FRa7tcdx1kNup3\nLwoe7pcAACAASURBVBY36skybB4rxk9qiMObJXHK2acEZGvS2or0+t9g/N9E/9YUYCfMqZjDW5Vv\nMSH5aL7d3sCE/kTxvAqr+e4fhFtDVrvYJb6SX3t5t/JdRmWOEiGLmZmwc6d/vDT837OKl0VnrQAN\nVSmFs/aMtSxeuVif0KRNwNJgWsE0lm1WGj4bLH0pXxLOeSVBpvTiUiiEGmDx6y2w3uOvt/I0ltUP\njYvNkHuFT+eMQaLxaqW3kdH1oa014cytZpSd6J24DoY2BndSlnk8NL69hcsamvn5Aax7t9qs5dMt\nmycsmu2wXG43rqlTuWfB0XRcdg2uWdbx4hlJGbR2hCb9Ox95hPWTyhn+cCdlLVPsVbIMBRt+CR9s\n9hn26fomu0oJCVl1NtotaGij8igg+MjkXgrgqQFqpDIglv6+ffsYpcmeHTlyJPsMpRIAQaraJhsV\nwN8RS1EckArSmUfr9Xyjw64QUbd8DSLSZhfwJMKJ+QIiqSIPfSJUfb2iESboQyrV8SaL8WbIM/zj\nvUtQx6vL7ebuUaMCCcfiRm3tU+YrQ4/UjzfNy9+r/x6wBZfuXiTCu65F6H7HACNhfeF6+lx9bDt1\nO1vSq5lWs0dEVvgmZzHfll2mFmqcFMer37zKBUcrMaXGDMjvIxzRTwFvAC+Aa6TSStFCQ3XPdnPX\n/LuI3xSPa8tkiv+ZY1qGAOCYvGOo66ijvqNedyP6wtuuRjjsDT1sy89r950DuVbm5d+9LHxFBod0\nUWkmCyefrTvWhriZ3/256JdY2XOA0TXmhKlFQUYB+zttyjv9rQytC54dXrpiBRfvb6ZOE3CiLSXi\nKx5WhzBiNCj6uChgd9hRZ75d6ay38GlkZtIqd1nW0leRkZxBW2dzyAqb93zxBaOlLuZv2R7YXEYN\ntX9GeWxXXcnKCs/St0PAQXT9BwvEd3/278+27/CNN9ORTdCHsFhexe8kr0Uf6DGAGBDSt63dvQPs\nRXzovwGfIZyQVyJu8jzEAqAN1zSz4grFcTnvNEF8EnBAee2liGgTxUks5Ut6J67ZeSoU77vp8U3I\n37se+Y5HLesmvPG2pqpiQ0OgDGISEVP0HHzcg7BezwF+AJwJdMDchXPJOi2LvGl5lPy2RMhDWqdP\nOQFOoPLL4ME8RDEodRG1kgLoCSSrCiGZ/Pm3f6b0kVKx8Jglw3wf/vnkP6EY5vx8jr93bpCbLHVc\nKrMXzGZzyeOsSxxjSvhrnl3D62++Tvxb8Zx9w9kU//t5PFVK2Qvt57chb1x44YW6bN8RW0Zw9GdH\n80DWybhPOt18AKC9p532/i6G1Ia26grSC9jfZy96p7avmaE1weO2E7q7GdKBjvRBRNHomrJcAZyA\nWAD+iWUtn7F1okSEFkXPwdg6cRFL+ZIgHI9iDI1NpzWhn8EJ1mGOnvUennngGVa9uIHiXe+aO4Zl\n/A1UUiGvw9BcJg/Ygigfko94XIo9Mrerl4M9Ry4EjeC5ecHNAGxq30T1jq/sv7cNrH1qrZCULwDO\nR3BTrnL8O8CAyDsjRoxgj6aT1Z49exg50thfDJbuhA3Z2Yybdi6Pb34Grje84EJgDWR9tIbmwtXi\npreacS8wYgTyT5+Fyy8X8pAxYVIZTxeuaQiT8kHlEbWmvpUOp12dGxqEBPEPREmEOJSKg8DjMGPG\nDDrrWxkrtVKeuUO/Y/kAkel6FTQrgfX3Pn9v4GJjRXyJIO9X7p9nsCyWltLR5yMrWZZ9MlDpLCGZ\nvM/7LF65GKbPx60h/QvHXsgru17hB+t+gITE+/ve9w8a5CZ7u/Jtpo+ebl5ddCUwHq57+johH10M\njTSy7Tgof+cZWD9L7/SyKW8AvmzflR+s5PPaz3E/VhuUCPa07GF0xiikptD9EwoyCtgvt5hG7+Qs\nE9/tqpGr6OrrosPbRVZN8EzSvuRk8moCSd+bkmK+sy0E1sG6R80LcU1IGcz1n8A9T8DnQ+HMSlhY\nBx+ePti/iBiywv8vXeaJPgtLtQIWf+KX6fbRRPnKxQCmiziIz5Kr5BTFd3WJ85uHfve5ARFibAd2\nrWgIX94xgdZwHf5OMQBnp51t+lodlHLIwbDi6RW++kw+fJ/A6rXqeBVQUlIS+r1tYkAs/ZNPPpkd\nO3ZQUVFBT08Pzz77rLDADCgB3m5sZGRDg3nrsQogGZrju8XKOA9hEZskIMW3xUNBga+8ctCWbFpL\nfyTC2tDiebhqzlXib21NfeP7vgTEKQ1G5s3GQzcP//Gv/rwBNbbfC2sfXsumxzfx/qtb+PvfXwjc\nsexG74QF+s7vCzxDVsSnLEpyAywuPENE7hh3GFuOYmGd7LPK4+6Ks5aB3ntVJ++8fL1fh0tLSKO9\nt509zcrCHsTS95G+oY+ALplqKIGyzVnVQrbRLrZmu6YX4gOd3xqMyxnHzsadIcswVDZXMjp7jPgs\nISI6CjIK2B/XYWrpNyJIZP78+dS215KfNgSpoTGoM3DOokW8kFXAAQ3p+6JorK7jIFPsS07G3QOP\nt8DwabBuP7h7LBYRlMeDIKPXgq3Kse0YVlGfJix90DSXMQt/Vt7SWFfJFLF05IIg/TDCNtctjk21\ny3B8LgCMFaSv/kSLASH9hIQE/vznP1NcXMxxxx3HFVdcEejE1SC+qytQFqlAENJlCOtZvVALETf/\nRoT+vwbiq+Lpq+qDESNENU6w7gLVAwl3X4X03j+QiiThPGkHnoD45+NJ+HsCV51+FU//9WnxP2p5\n5TTN+76FkFFSgOth89jNlB71JnPHe/mvP/63vwmJCmUV9yErK3B+VjsYbWw/yhwMUT9FzwlLDgRZ\nfH/h7brvadiHwxj1rxGctC+VD3vjuPPccwXpPo9lI4iu+H7LWidD0oeQEJfA5t2KvKMtw6DcvA+P\nfJjW7la2H9jOtBHThA7c1SXqy4CefILJNu2az69+pteBF6D421k88G28pbUJCuk37AxJBKJj1hgx\nzxB1WwrS8tmf2hu6rENbDUMzhkFiosgStYDL7Wb2/y7hq4w4SiZN0ndys4qaMhlObY5+7xml3FFU\nRFYXNCmboJCLSJI/Tl8LealsP/RWIeV+CRpSIadT875WhvpAMJBd0lf6CNhFUqisYZtIlsyLRJru\nWBV094X2NdnFgMXpn3feeXz99dfs3LmTX/3qV0Ff601J8XenUaG1QI2zLETUgUEkjfRVKRqL1tI3\nppFXANuAa8E7TRZjXI+wMC8BssBb7aX3y14/4YNf3unRvO/ZCGveYJlzCSKj1wS6GyQrS6+/g6UT\nJ6M/XljCryGc08owJ358IjN2zeCUj07k5NRJfNifENj2UZnvz6/+MX1H1/Hsx19Q0tfHvR+Vih3O\npVg2d05JGmRJ+uOyx+Ht97K5QqPpG26ym+bfxL/3/psTh58oatlIkt5xZlO2WfvEWn8I6EvAh8AZ\n8NBdD7Hu8fW4O/qg10p7gzFZY6hqraK7rSkoEexu2i2qa9oo7FUgp7M/Kz6ghLYRNe01DB001FYi\n0Hnn/wAGxVHy8MO6+vym5RD6ET4rA9Tm6CBCMf+UMYT6VLizeE7oRSQBBlv5m8OR1SrhqMnZ9L8F\nxx6XQ+aN14r3DSWjxhJ2HbkDUIrBTs30RVcvCjTcTBzy2vFaukPEEoeBg15wTbUE5FrZ79R9Dv1F\nbbWV9Roeayx9Xxq5Ot47+HVMs0zbizAnQFXeMS5Kxm+uAkFMdm6QQYOQm+P1n7eVgJs7wZPAzxgm\nnF5JkJGRAXvhZ+f9jC0vb/HLRe99Qglwt1ohETgu9zjfOPVPbMab0s23amRaNn7nqJlk8nERC69e\nLELVtFKHUt7hzbVv0uvtZdVbq4RsYXGTvb1bkXZU5Ob6dX0t+ZjNQclZcM92QzHwPXBNcTHr1Fkk\nZyezYO4CsZAMHhzUMk+IS2BU5igq5Mbgln6L0hs3Ozs06Xcnsz899N1d217L0HR7pJ+dkk1zQh99\nmfrvUa6VRWTHBsR18hzQA/IL7wSMIeVLonnL8zDjJ3NZ7j1AckIyv3rlheCLyMtAHGR0GG8oBVbX\niJGkKoBy2P39RuRZ8O0PGnjkgzV41ntY+8haEU2nxfOwtnEAYtFj4MiNFm3t1gEB7tluOArYCCd9\nfZKlQ94HGdH6MkY4qKS/ZNgwnWUq18rIO2TRqEC7mzGrCfMmgVaL1tI3jqfV0O0khalQ5J2ARUmb\neFSBfyE5PXCuATeIJEFWFvIXtf753QgMg9y1uQx6bRC8BMNShrEsfZ/YoZwDree1wjnw8gcv66Mn\nEhJEXL2GWL64xV+/KKm7lx9sh2cnqgc0kyvEL1s9p4kIOfdCndQh5Utid3MOMBHhg/gQpAlxFA/v\nx7PJ6BgRer5rjMt/QEt+WvJR5/CMOFb0PDywcIX/JhgOSLD5ic3cd9d9HDvkWBLjlZOl9MoNhnE5\n49iZYE0EnvUeXv2/V/nT8j9R3FeJZ8PrQcfLbe+nNVEOSO4yoqathu7qVu7cs4eSefOsk64QSV9Z\n3RKmHLgAmCUypne+vZOjSA2oF+/zkcxG7OCUyo2drd00dfkXMZ8xtAERcLAG2AvDM1LJaLfYMRXi\ni4biLZj94fHmJBWi7/Ha36+leHcxM3bNoHh3MWvvfwl3m9XWIwooO89rRlwDwKpVq8xfZ1fT78e+\nP0GxkZ78/MngrysEvgcv/N8LrHt0nTXhK7LYJ/s+sTmB0Dio9fTvzs0Fq8SNNkTNmkvw13V/DpGA\nlIyIWTZKKSrpy3JgYoP2eg6SFBYATctEbeEyX9jbBegvdnWuG4FaKD69mIW3LAw8qaqMoC36lgX1\ne+rF58qHvbP2BiabYdGnVp2ndrx/iDGXNW4WclIqvDEGsVhWaOZaqPysMUSEqH1Js7L0oZMVymee\nLR6WIvuiOdTnZ/9wNm/vfpv4t+LxXusVc9VY+r5kqjUIUq8DGuCfq/7K448usrwJttVuY8rQKfo5\nhiL97CJ2pr1hHl9eISJTGs9opJFGth4H5a8/AFOmWM4hrrGJ4b0pVLVWMTbboiYU8PHn79H42rs8\n3aj0qt26NWj/5rwOqEvsswq8AoTFl9OfEtgkxMxBexHQBE1dTYwYPMJ/XCn1vmrkKp8klFGSREZr\nEN24UERDjbw9mVVn3cpos+8mhPbvnu32fadlHg+l9/+ODyXJVsRLWFBIf82CNTy17Clu2ncTC1gQ\n+LowNX1bSARkeOiDh/ifU/8n5MuDNcIBfPfaf//rv3lsxGNCGooSB1feKS8Xzj0r7MdvWW9GOK9a\nlOP1MCTXcHuotcjNtvtd+B2CdkoQq8jMFHM0tmXMRCRxbSSwqUghPp+D5Spu1I5XAjsRVtoghKQB\n9p1oQ4aIqCR1ekWZwqKfDZyizPc82HwDosDdB8BahFN6A8Ipbvz82gQt7e7AwqK77fe3+S7SN8e+\nSf/MfjYetdFf98Ugc6g7MWYBV4jHJyWOYUu+hcwAbK3Zqm+EbkL6144U/SJVp/K4QaPYmZ+g0+Bl\nNZrGLDJlek1AZIo6Zs4yEXpaIA8ShdeCYPsXH3DDbn2Yqq5/81+AN/39jL/ulqnzBi8KV99ZT46U\nGpglauVj7EP0yjWBSvj9cj8d9JHeElpgH96ZQHWixeJgU/v3lSLfvJmSvj7f/1rtgsJGDEI2dQhn\nQVoJrIfPV31uqzNesI5qnvUeMsuTYRa0nNniq6EULQ4u6Y8bB9u3mz4VkOAVj86yH5I7hNovawmA\nQeLxoRth7f4DUQRtDyLT9ll8W1yLiQgLtc4Qv52In9ytZMlg95CR9DMRiRqgd+radaLl5+uauLdI\nLX7L3EjSFYgQWG3J6CST5BDtHLW7IIur5vPuz4OXjNZq+hYY051KTzyWhLqtdhuThwYn/Sfn67fW\n45KGszNPP+mkuwRLDkk1t6uNi6o6ZiON0NBAQVxmSNLvSOhiqEmUjS/pqgB/o5mzgE/BdYEraMnk\nd/+1gb37myi59169XGSlknSjk3fM0NbTRqqUSHxziBaDwLB2iao4i0gkm9q/WSlywL8YWkEC7FRE\nOEiOXF0Y8vfRJ4QGvFj8ipOsKXjF0ytonqVfYI0GSiQ4uO0Sjz8ePvsMTgysAdxf009cvqRzhkuS\nRP/2EHnbqjPXLES0FV+zYRIQlq2mEKBly0JVOhmh2SJrb7JJiMYm2mie50VsviWMpK+11LSGrkk9\nIdP6NRoZKmA843Vl5sg2Sw5R5R3wa/AXErzZSrCdiQ2HptTYyEmd2WzZv4WCYwr0w8syW2u2Bso7\nIRyv4+Ly2Jntn7SvyN4QOFB1AM4I/J9g4XM0NDAiKS8k6bcl95Jvwo8B8fIViHOiLPq6uk6a81Hm\n8fDBs48zkw5KysuhvNwnF+nOj4qXgQmhSb+1u5WMuFRbxceGt/RTJVssDoUQRxwjPhpBcnsHRV3p\nLFwWqP0bS5Gr8k58kF2/qsvH2/FnhuPIjWV5ZasciDWRDWcVzx8tDq6lP2UKbN1q/lxbG/1tqchf\n9SF/IWSA/hobhTosLH0doWv/3P7/2zvz+Cjq+/8/NzeXJFxJIEggXIbLIJ79NgRpwLKAV2sVa1sL\n/GypotVHjy9iCSKgD79KgUq//aq0WqxY2+LBYgzoA6IVvBJRgVaOhCaQBMgBJCTkmt8fn53Zmd2Z\n2TMkks+TBw/YyWb2s7szr3nP+3QHey0Ev9DlYml5uW8gTp/Nkw6MRQQiN4mA19anttrmj/uIvv4i\n0obHYkpHCP9fxf4tI/1e7h3bGEagLiPv/jtqNlQdvgVtWxBZJiY3X+AW0QAsfWprmdKerLVZVl00\nd6bdSVVDFe1KO6m9Uz3PD8Cnn97eh7KerbS0tXh6+agzB/4LkfevI6PgEtuCL2pqGNwz2a/ot1wS\nzfMDhhm2mebLBzhQp2DdOr7RcIp+uvRH1V1kOvSkHBbNW0Rto701e7b5LH1iegYm+nVtVLb5Pi92\nuQist/2xjSu+fwWPf+9O8tOvMz0H9K3I9bRZzEQGWHhsofjdOu9SVi/UOcM2+9K45BI4d048PxJY\nNPrz7ccVWMOhsqNl/p8UAp1v6edbVLn9618wZkxw5dcgrHEz9w5u4S8qgvnzYb//aLjqe1xpEogz\nBCLjEKJtM9zYB2/R11tqoxHW37uI20AFIdw11qX3DBoE+vbV+v1lYLwTCdRlpFuj9n5BBNf/A7wD\nU3uNZVfFv0Qc4hI8xVS6Mn/tzqTunK1l9eunfs3jUclcEXMpGys+Nfxs0/xNbD+8nQmDJhhdfwGI\nfnx9E6kt8fzn9H98exmlu//9O0ydPJWEymru6zPQ/oJdXc3giYPZV28t+q3trTS0n+Omx//MI0t/\nQ3R5OW1TpnDDffeJIO4DuicHeBGOOX+emh6Q7mW4qxayckLRLpLKpC2wcSMPJyQGZOlfEhtAm2FF\nIaWmhc/O+164W3U+ycr6SlIGTIUT+3yeB+5W5IcP+7h4rPr4G/A3HF218gPp/xUVFdCdYsDYtR/X\nE2DXziP7jggDS1+t/prVswOncy191b1jVqK+fz9kZvpu98fgwZ6qXDOsJmaZYDsGEWNKqNJrEsrb\nRYGv00v0+w/r77GkS/EErE+gBa5tLyje7h3w7K8QcfCo1cT1BNSt0VtQtcBrFEIsp8POG+8XbrNo\n8Zi5iAD3q/jemVhY+i0Pi7PiifonoLaWK3qP4pPjn3iCrW6+OPGFMYgLvncjZpw9y8iWPqIy1yzg\nmQ70Eg328hetxBlrM/QbhKWfNMzW0j/ZcJJ+PfoxbfZcVjz1FHkTJlgXXQV4EW6Nj9cqXfWYWsin\nTsGAAST1SLIVfdd2Fz996Kccyj/OzGMf20/Yamgg9XwsFQ32DXMqzlaQmjrKeOepI9vpFH38Bw8m\nb/Rozb0TUAtmfwIdaBBXJZJ+/TOY10B4H55+Kr41eiKMPvW8VY3AMOlc0U9OFpa8mUiHI/oWlj4g\nDkSz2bgm+Pge3Zj6HgMcn6fhJfr3fvdeYobHiODPbcACiEmMZlnrYFv3k4aX6BueH4VwZ6jVxDci\nujVuQsuZNnUZWVSnfjPFU3D177rDHsFXSUe0z1C8spcsfPox+iHbtbVcmphOm9LmI6o+/nwIyNLn\nzBlGKklC9K2Kd9VlBVCRS00NgweOsBV9rRoXTFMDNXfMNkTFcQAX4RmLF/NB/54G0becdHXqFAwc\nSKKNpa9O2Pr0sk85/c0GCm4/Yzl+EYCzZ0mhF5X11qKvKIqw9IeOtRR9cLcinzCBvKeftm7RYEYA\n33XAfe0hsn79vojv9HWEy1BNEPEu+gxU9OMQ56p63l6P75jFEOhc947DIaz9zz/XJmNp7N8Pd98d\n/D71/XfMCMLSD8r3GOCgbA0vccn7ZR4Av/vb72iNaoWmdiac7Qk151g6cyYzFi+2t4S8ffp4hN+R\naWIepAMfCuvWdo0mE88K7ynU3AivNxQF3lfFrNOmN7W1OPr144qoK/jUy8XzxYkv+MkUrzmrgYp+\n9EAh+mYBzzOAqsmBiH51NYNTR3P8QxvRr69iUC/3cWYhLHp3zNbyH7Bq+zsU96ghe2i2aW1HttNJ\n/IGh/K2qB5+U7qdt2jSPu8ibU6cgOZnEhETLlE27CVum7q2zZ0l1XEJFfYXvz9zUNdURHxNPz5RL\nxXfd3m7drqKyElJTzX9m+QIBuncCRXdBTtd8fb6U/r9S//uKRauBMPCK12PvGgsrgvRsB0qnt2HQ\nXDze7NvXcZZ+gKKvH4OoYmpZnT8vAki9/LgF9JiIS94v8zj10SneeOQlflY/iPeOVJFXV8djBQWG\nYRSmeKVsGgjU1+hNAIL6XluJtengfUPk1WnTlNpa6NePKYOneGbmlsKMu2dQ/HIxDz/8sNESDVT0\n41M5VHtIpKUeQ7Qr+AeiPccJXbpqAG0YqKmhb0o6LW0t1Dd7/LOqgD+X9pynBQMEVATk7JfCltl3\n0zO3p22FZmuCwq//9wXyFIUV27ZZGwInT8KAAbaWfrDdHpf+8Ic8W3KS43XH2Ln1TdPnVNRXiEB7\nbKwQX7vvu6IiNNG3G18Ygntn+Ic3A1CyrMTyacNSh1n+TCPQ8yxQS79jkne6gOhPnOgr+ufOCeH2\nEtyASE0VFoRVhPzkyYBFX/M9XncdeT17+jY0U1Gt/GDGm9lYlP5iCab07y+Epc2ksClQX2MQa+QZ\n4E3YuqNEHEXeASazlNWePcX6Gq26b6FNzVJKFVYsWyHW/YWYFKbkKMZiL/Ar+hn/kyFEv+dQDtUc\nwpnrJNGZKPLjB8LwCcO5c9qdHpFNTPTv4z13jm0fvQ/vwvV3X++TVz9//nyje6dPH/GebRrDUVdH\n/8TBnD5/mpY26+fVNNbQr2+K2KeJoF4Tfw0AI069KHz6CdY+/aC6PSrw2J49PHbmHH3PK7z+q8Wm\nRkhlfSUpvVPEg0GDrF08ra1i/QMHEu02aS3bJRgWHW/bsTQU0S+NVNc37/5cYHqelR09GNj+1K4E\nerwfh0Cni37h6dMsffNN8nJyPCmR//63KNyKCcH7FB8vhMDE6i10uVi6dSt5a9bY9kHRk+10suL1\n18lLSDAG4vQE69oBW0ENKpag/VKMpWW19aWtxuZzbl+j30k9Fms0DOJwIgpRziMGxah9VcxSVtVC\nNxvrr3fKblz/2stLW14ScYJe+AzDMaQzWoi+skxYg0cajsCZM/y7qp5///XfTP3hVOoO1sFRaC1o\nZdyV47j12lt1C3C3gLYRaFdiD+7f8ACN2Y18PPpjT6Vkqec5VfU60Xc4/AcM6+qITurHgJ4DONFg\nLpTtSju1jbX069EPUlKEcePF7l/vBqBkHH59+ovnLSaj2GhYZXw8zDeg73U4pp6FH58qNTVCKs5W\nkNrHbb0nJ1uL/okT4liIiaF1mcj8UdMybfHnfgvFpx8htP5c9YjgtPs8847H3XjsscD3dxxxzh5D\ndJi1zxIOiE716Re6XLz929+y8tw52CXa9D58+DDcdBPZobh23PssaGoiZtYsWgcM0HzhWvrlqVPC\n3/nll7Z9UAz07y/SrBobzSfUBxvEBduDN5Q8ZsC8/w6iwGfrd+az/rMdNI1OJyEqwdPB0g4rK9qs\nCOV7wCY/MQLwBHP1hW4IkXYsd9CQCeve+StHp7jHJfpLZwzAveM68i9+2XYA5XqFQgpFh8N3IP+d\nfL488SXjB433PNnh8OxzwADjjty9jGYnnYUso1/2cNZhkV2RLh5XNVSROVB3DKvv2+ous7YWEhNJ\nrk2mqqHK2CvHzdnzZ+kV14uYqBghqFVVMH68yc4QQUC3e8fKp69+/wt+u4DEHokM23uU+5b8t+9x\n0Ywh6ym1Hip7mxshlfWVnjoKO0s/FNcOeLK1TCbxAcFb+v36iY6+1pMig2LXH7cy9cPZADw8YgYz\nFvv2yilGxERmps70+ZmeQpeLJZdksCr3MCRCbCL84l8ZrDoZXlVup1r6BevWsfLIEcO2lYcPs33L\nlpD8+VpPj/p68oqKDL7wkFwmKg6HOEArLAJY1dURtfQDjiV4Y+PXd14ygPw594i0RLuufoGsMdAi\nFDMs0jZjUmOEdRQNBcW7PD/wl84YgOivO7GPw9le4jMd1ry0hqr6KkYkjTD+zMSv7xjkEI3+chHt\nE8xwe/dc211s+8M2nl79tMf14y9LxN3YLrl3MlX1Vdrm559/Xvt/dWO1sPLB0tLXiAIGDKBvQl/O\nnD9Du9Ju2F+M295z5jqZeMdEnl79NPl9M3GOy/Ld11futbgfptRDRR9zI6SiviIw905FhXgPweLP\n0g82kJuUFLGAqao/Kot32Mfi7s+276OjalbFOvG4pQem7SuCpUNEPy8vj7S0NLKyssjKyiLfogDL\n0o1x+nRIom8n7CG5TPTYZQWF4t7p1csTAPZCiyUMHEheZqZ1LMEbkwwejaqqgGMZGmrhinfgzMrz\n4S8wDKZpmzGpMbS1tYmirnz899rXpzMG4I45bxFhqzlfw2UDLyM6ynPWF7pcLD15krzbbjO6UXlI\nGwAAIABJREFUAPV3N3ZtKErh/mfup/raar4c96Xm+nFFtfp175CURHIvYemrLCgX3SGVZYrw5wcq\n+gB9+xITFUOv2F6cPX/WsL+WZZ7Pq/pcNf179re8gO66R7gBF9wjHqeehT8O66cZIY5BDq0S+Km/\nPMWvfvUr8UQ70Q8lc8f9nvy6d4IV/Qh1+NT0x318LL/ewrBsBRwwJMn3bk6Pqlkp6ukXoXV2iHvH\n4XDw4IMP8uCDD9o+z9KN0dgYkujbCXvILhMVu6ygUETf3VOf06dN6waynU6yR4+GVasgO9tkByaY\nFWipnDghXALBEB8vsjAaG0UQVsWqz4v/Kn5TS7+trU3ECNT9vY6n31C6e9tfgTaYeZ1Xq2r9IBUL\nF1t8k3m2R3NLM1cMukJ7rLkAz5yBYlGxrfW20Rd1WfRDOjzisOjaOd0kDfLNFJyBWPq9jJa+nqBE\n34GWWKD69fsmmI9Jq26spn+P/paFbtlOJ3wC9IW8kSP5bEg0A68aS7bT6Ynv6I+FSnEhUB79vfY5\n+hCOe+dCi36AYqvpz3kgBjaPg2d2mBiW7v35a6tspVnh0mHuHe9qSjO83RiFwPfi4jh77hxLH3gg\n6FardsI+Y/FiHvYShYBcJiqRtvTB/wHsLrAJGLu0zVAsfTC1rMaNGWcaGB43ZpzJDrwwK9DyjhFc\ngnEe8RFEe+ho31bVhS4XS5uayJs1y2CZazOAC6Cg6azv1KYdkDElg/EDPT5xWxeg/mYhXbe+d+Fb\nJd9i7b1rxXarGER8lKmlr861dcw+CX37CvdOQwREX4edX9+wX3+ushjIW7GCux/8DVEDVfcavvGd\na93b/Vn6HeHeCTaQ269fxCxoVX/+1z1ttca9DB/DMkDRN3Pz/mK09fyGQOmwQO769et58cUXmTJl\nCk899RSJib5vUHVXPLJ+PSfKy3EcPMgrqrtjxw4eLikxPM8fZj09lmRkeApYxo3jkZoaovv3py0h\nwbqwxQw7S7+6Gi69NLD96AlE9L2DiXYMHCgyn8wIxdIHzxoHexzZX773JeO/OZ59lfu05nXjxozj\ny/e+9L8/M5++T0MqPINd9HhNCNQs86Ym+OgjQFjmU++eLZqq6asXNwN/guhh0bQpbTASzg05Zwji\n2roAve9u0oG9wHXw2K8f4+q0q+EDrGMQ0T1Mffrz589nwfIFYiRmfDzJvZIprjS3jmsaa+iX4Bb9\n5GT/lr4bu1YMLW0tNDQ3iLsAf66TKKB/f1J7x3gKtGwGrfv16U+bZv1aVvhruxGKpR8h9PrzEwCH\nR3/MsOulDzp9fOIJ4D0AJq78JXzX/3AWO0IW/dzcXCpNDrqVK1fy05/+lN/85jcAPPLIIzz00EOG\ngJSebKeTbKeTpTNn8tg+Y4OmlYcP88j69QELs/4iEv3Pf9KWmckNv/mNtj27spLsv/0NJkyw2405\nQ4bAZ5+Z/6wjLP22Ns3PGzADB8J77/luV5SgitJ81mhykn353pciX3rgQFFXESj9+sFBrzxlb5e7\nifvEzH1kZZmvysC3XP12YBO0TWuDUhheM5xdf9pFc0Ez7T9ox5nrtL1T1BrOvYE4a2rEen6U+yP2\nVu0Vou9ee+I/E6n7hud7zSjK4L6J0+x9+u4z0TuQq6emsUb43kFYyVXmz/PGLm2zprGGpB5Joq+7\nP0vfAQwYQErvBE8rBquCpGY6LnvHe7aFnlACuRGy9DX9+fWvgS/BgW0szq6Xvn6f2bm5PLYyHqJg\n0OWdaOlv3749oOctWLCAOXPmmP4sLy9P+3+5xQEccKDVjXoR4d57YcQIzzjGM2egvNy8z34g2DVy\n6wjRr60VJ2EwtQpWPv0zZyAuzjzd1B8W1l+hy0XBk08S09pKayBtIlTMWjGoRS2qUKcDexBDbuKx\n7GBqZZlbWp+xaL3rS6aLu8hCCjn2jPhe7e4Uwd02YZkDojx1AGt2r+HzKl178HQYOmgoGQcy6J3Q\nW6TH3nsfzopqsDtn3MLjHcjVU32umqF9h4oHQbp37ES/fw/3haRvXygttd9Z//6k9rmEirNuS98u\nvtMR7p2+feHQIeufB2vpm43QxO0enIRovb3bHaMIoINuttNJdlQUj304C6IsvBRBXmR2fvAB7BS/\nt748gGxDP3SIe6eiooJU91V8y5YtTLCwrPWiv3T3btPnBBxo9ebKK41tm4uLRfVvKAVfEPlALtiL\nvruMPiisfPqh+vPBdI2aW0UVx4KC4GoevNwcobaptgx02WUX2fSuV9tWP/L440R/8gltU6caXICF\nLpc2JFvthzQpcxL/+JcxYHA06ShHlh3xWOUAb75pb+mrom9n6TfVMCllkngwYIDYX0uLCLbbkBif\naNlT35AG6s914gD696dvfE9a2oVbSPvutiPUZAKegiRFEUkATU3G/vaKEnr2ToQDuYXbtrnX5PlO\np949W8zirkLElGqAPoELf1BxuADIyckRF584OD4w/OqsDgnk/upXv2LixIlMmjSJXbt2sWbNGr+/\nE3JuuhVXXgkff+x5/OmncMUV1s/3h2rpmwWoQynOAvsDOFh/PlinbIbqzwdTIQir5sGi6ZpyQkGJ\nvQzllS8C6yqK9TFjaFusolqffoq9sp1OVuzYQV57Oyu2bjUI/tv3369NNVNrQOr3VvJ51eeGxIUB\nPQcYBV9933bZOw7P79Y21dLa7jvYwxDIjY4Wx4fZRb6RgH36WromBNbHqGdPHA4HKb1TNBePckIR\n9QvTYO435nq+O4fD3BCpqxN3nj1DqIiKYCBX+07dn5X6nRIPJCHmVU9z/5uE2B4IoRpYNmS5r9nF\nJ/3PAfFHh4j+iy++yOeff87evXt57bXXSA5AcLTc9JkzyZs6NfDcdCvGjBFipwpMuKLfp4+4SzA7\nKUIpzgL/oh+sxaBa0d59h8Kx9E3cO2HVPFi1YVAUOHoUhgXQ2MqNdsxkZpKXkqIdM4AoW1ezi3bg\n8T0H0rs+Pl64Hv7zH22TeqFLcseq+80RF7qP//dFesf15ujpo9pzrxpyle8LBNjCNyYqhqSEJE6d\n8/VbG0QfrF08bi+kGkcLyr3jT/TdaaCpvVO1YK46NevOxDuNU83A3MUTpGtHGwyzTLG/G1EU4dMP\nUPStjBcS8Gn9wRzE9kCIsKUP8H7yEsPEv3Do3NbKXmj++EgQHS1E/pNPYOZMIfpq0UioqGmb+kyk\n8+fFXwvfoC2JidZVvqFY+vrOhvrfDdfS9xL9sGoeVEtfUYwN6k6dEi6AYNLtcB8zra3w3HPChYLX\nlC8Q7px2UB5VcNztCGzm8MiRwnc8QlTrqhe6mjfBMRlqxwNvigvdxOSJ/M+m/wEgnniuHHyl+fsO\nwL0DHhePVtnqxkf0LTJ4lIrpOEa+w4LyBcxnvhD98xaWvt694y97R7fG1D6pml9fnZo1YuII3+Ck\nmegHEcR1DHIIKzsFHJscwu2XNNrneYUuFwVr1hCjKLQ6nQHFmCxjQuFUnIN97MzqNf3Qc/gYkboc\nAbqU6Ecc1cVz3XVQVhZaq2Y9ql9/nC4f3d0KOKgOmyqRdu+A53Za/7vh+vR1Fi/4D3jaUfjuuxS0\nthKTnU1rz56ek7O0NCgr34CJxau5GFwuHB/NhmiIWx4H6UKYc47m0NTe5Am0erelGDkSdO/P50Ln\nPnPaEhLIfyVfPK6G8xPP89BPHuLBvV6Fiaql732xMyG5VzKV9ZVMYpJhu8EqV9+3WQKEV3ZLYoKN\nT/9cdXCWvvrSvVJ8hqlUnK1gyuApxieGIfqmhV9vgKPsK4PRaxdjssMyJmSly1aZSma4p4H5EGgv\nfW+GD5eiHxBXXgmbNokg7oQJoQdxVczm74YaxAX/oh9KoEv16+uzlE6cCP2CZ2L9aalpP/kJ0T16\n0DZiREA1D9rJ2d4O74ukey0A3NgI6emhrdEuffHMGTHOsS+0uCO8jRsbjXN2zcjIMGSJzFi8mIf3\n7mWl+jruHOzVRW/DNWDQ53iToF98vPBjNzT43hW2Yej/YlagpSiKll5peN9m7h0v0bdrr1zTWMOw\nRPfFNgjRT+2T6jNMpbKh0ufuJGD3zovAYHD81aEF8k0Lv+YCmyBv6lRa3UWXVm6aR9avF4ViFqjG\ni4juC5ZkZJDSVEHl6+eMab+vwdA284rmoAi0l743w8NP1VS5uEX/qqtg8eLw/fkqZmmb1dWhBXHB\nv+iHUk9glrZZVRVaIQxYrjHb6ST78sth4UKY631mmmN3cmZ/61uhW/pqx0kzK/rMGZT6hTjKnxXD\n3KMhalOU/+ygkSPhn//UHmY7nfDNb/LIZ58B4mJww9q1rH5gNngfWk5EPMEbNZjrxxVo1orhbPNZ\nEmISiIvW5aOmpECJ1+APRfH5/u18+j7undOnA7obSemdwj/L/mnYZmirrBKApa9Z9N/SPecNwKr8\nIxbyCgsBYTQ0WLhT/MWYVCNl1UeiK+YjM2dyw333cQNw5/xbKN/ULFw6LZB2No5Nz79kuz8DVodW\nqKI/eLD13UOQdHo//Q7l0ktFkdMbb0RG9C+kpR9KyiaYZ0uEWpgF9oGz48cNlbr+sA0ABxnENZCQ\nIPyoZj7zM2dwvPYsHAW+DcxAzCFOw+j39yYjw+DeAcg+e5YVTz8tTjw1B9uuItUbq576XsFls1x9\nH38+mFv69fU+KZyq6F/7uDB71UEroOu7A+JuJCbGfsiNm9TeqT7uHUNbZe3NmPTU907XtLLofROY\nBLqU3JWHD1NhERcLJMaU7XQKFVTQ5mVkO5289Pw/WHpuMMvaRrM0YyYvPf+P4OKN7u+0/ly9YXPF\niRB9NFYjJ0PZVcT21AUp3LaNpYpC3s6dLH3uuaB7+fhgZul3pHsnlCwAs7TNqqrQA7l2wb0gRd82\nAFxaGrp7B6xdHWfPil4+s7y234jvwGo9GRlw5IgnE0pRhJvw8suNz7OrSPXGKm3TS9xSeqcEJvpm\ngVyTWJDae2fP+T2AZ9AKeKVsgvX33YLByjxUfIj3//Q+OT/KEYHxUowjIlWsLH29e8fqwtmOeeqt\n10eYmJISmXRv3USubKeTFenp5D37rPXwJDvch82T7z9p2Py93Q8Ftx89pfh0nA2Fi1b0td76p06R\nBzy2e7f/ObP+MCvQ6kjRD8XSN3PvhGvpm62xtVW4toLYr20tRjiWPliL/pkz9hW6VvTuLQRQtSIr\nK8Vdo/fwjtOIwdfvIAp53kH0+TG7ObKy9L0+XrMCrYAtfZPjpk98H861mPtKfPZr5dfXTeF0bXex\n5qU11P9XPbuG7xKZUIchvjze6H4CcXx4x1u8A7lWF84oRGO/txDivwk4CoqX6A9KSxOpu0OGkDdq\nlCHd+9khzwLw/ee+b/EiOryDvwcPwqhR/n/PhAnxvcXdw+4Vhu3vucer3TnqzqD259ruEoHc6X6f\n6peLVvTDKiCywqzTZqiFWWDbUz9iot/UJHrjhNhYqnD3bpZWVRnHWYI4kd3j7gJFy6v/1rfIczh4\nJDdXnJyzZkXG0jcL5p45E3r/f30wt7gYsrIMvu67nr9LjJyMRZyM09z/xlmMorSw9J/bIf5V89FV\n944+P91S9L3fs8lxE+WIom+8n7bKKlair/PMrfvLOo5ecdT48+mgHPF1ZBd+/jlL9+83Hj/e7h2b\nYjrlhCLccnNh12+3siTJ3GjIdjpZMWECeWvWGCzzBQvE/ICXjgXgj9frxenT4rwJpVUEUHypmHyi\nWDj3H/jmA0Htb91f1hljHmFw0QZywx6aYkZKirCa29pEHQAIa9dqdJs/rHrqnz8vxDqYHiIq3rfT\n6vjEEFJKC10u3v71r0W2jX6cJZCdnByUa0dFq8W4/HJ47DERbFetX5NOrAFjZ+mH2v9fzdWfOtXg\n2lFHO24q38SJ90+IGcF6boH1L6/3TQO1EP35df1ZgKdK2czSN6RWqiQmCv+7foynybhMMG+vfK7l\nHIqi0DNWVxlrEcO55n3Y4xQFX+cV83MrNtp461TocvH2Y4+x8vx5z/Fz6BCcOUO27u7Y0MwuFqjG\nNNCuZY39/OdENzbSNm6cMWusrAyGDjVdW0DoRf/QIfH9h5KKDUSnpIg4kgWDLgn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},
{
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3nXkBlYj4VziFvUbj9GLHDvPEbFSQH6Fp0+DKK62uQiQ8+TLZYKgI8iizTih0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\nCnsRkQigsBcRiQAKexGRCKCwFxGJAP8f0H2OjZPCflEAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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