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pymc nonparametric bayes sample
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1次元ガウス過程のサンプル"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"original code https://gist.github.com/fonnesbeck/3919968669ecd852f87f"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 使うデータ"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"101"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"x = np.array([-5, -4.9, -4.8, -4.7, -4.6, -4.5, -4.4, -4.3, -4.2, -4.1, -4, \n",
"-3.9, -3.8, -3.7, -3.6, -3.5, -3.4, -3.3, -3.2, -3.1, -3, -2.9, \n",
"-2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2.1, -2, -1.9, -1.8, \n",
"-1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -1, -0.9, -0.8, -0.7, \n",
"-0.6, -0.5, -0.4, -0.3, -0.2, -0.1, 0, 0.1, 0.2, 0.3, 0.4, 0.5, \n",
"0.6, 0.7, 0.8, 0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, \n",
"1.9, 2, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3, 3.1, \n",
"3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4, 4.1, 4.2, 4.3, 4.4, \n",
"4.5, 4.6, 4.7, 4.8, 4.9, 5])\n",
"\n",
"y = np.array([1.04442478194401, 0.948306088493654, 0.357037759697332, 0.492336514646604, \n",
"0.520651364364746, 0.112629866592809, 0.470995468454158, -0.168442254267804, \n",
"0.0720344402575861, -0.188108980535916, -0.0160163306512027, \n",
"-0.0388792158617705, -0.0600673630622568, 0.113568725264636, \n",
"0.447160403837629, 0.664421188556779, -0.139510743820276, 0.458823971660986, \n",
"0.141214654640904, -0.286957663528091, -0.466537724021695, -0.308185884317105, \n",
"-1.57664872694079, -1.44463024170082, -1.51206214603847, -1.49393593601901, \n",
"-2.02292464164487, -1.57047488853653, -1.22973445533419, -1.51502367058357, \n",
"-1.41493587255224, -1.10140254663611, -0.591866485375275, -1.08781838696462, \n",
"-0.800375653733931, -1.00764767602679, -0.0471028950122742, -0.536820626879737, \n",
"-0.151688056391446, -0.176771681318393, -0.240094952335518, -1.16827876746502, \n",
"-0.493597351974992, -0.831683011472805, -0.152347043914137, 0.0190364158178343, \n",
"-1.09355955218051, -0.328157917911376, -0.585575679802941, -0.472837120425201, \n",
"-0.503633622750049, -0.0124446353828312, -0.465529814250314, \n",
"-0.101621725887347, -0.26988462590405, 0.398726664193302, 0.113805181040188, \n",
"0.331353802465398, 0.383592361618461, 0.431647298655434, 0.580036473774238, \n",
"0.830404669466897, 1.17919105883462, 0.871037583886711, 1.12290553424174, \n",
"0.752564860804382, 0.76897960270623, 1.14738839410786, 0.773151715269892, \n",
"0.700611498974798, 0.0412951045437818, 0.303526087747629, -0.139399513324585, \n",
"-0.862987735433697, -1.23399179134008, -1.58924289116396, -1.35105117911049, \n",
"-0.990144529089174, -1.91175364127672, -1.31836236129543, -1.65955735224704, \n",
"-1.83516148300526, -2.03817062501248, -1.66764011409214, -0.552154350554687, \n",
"-0.547807883952654, -0.905389222477036, -0.737156477425302, -0.40211249920415, \n",
"0.129669958952991, 0.271142753510592, 0.176311762529962, 0.283580281859344, \n",
"0.635808289696458, 1.69976647982837, 1.10748978734239, 0.365412229181044, \n",
"0.788821368082444, 0.879731888124867, 1.02180766619069, 0.551526067300283])\n",
"\n",
"N = len(y)\n",
"N"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7efcd81fdbd0>]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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uQqizfBEvHotgNOjCtkm/3tlsscbNWr9BQt0EHGvD5Reo9ZZ3/N4l5PYmiC4zG8sh4HVU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\n6Ym2NklWMB/LYV2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9q5WPWfMYu5Np8emtk35sKYnzqZmy+3tyxA2bVf257DYLTs6k8PV/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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efcd8049ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x,y,\".-\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Original Stan model:](https://github.com/stan-dev/example-models/blob/master/misc/gaussian-process/gp-fit.stan)."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"gp_code = \"\"\"\n",
"// Fit a Gaussian process's hyperparameters\n",
"// for squared exponential prior\n",
"\n",
"data {\n",
" int<lower=1> N;\n",
" vector[N] x;\n",
" vector[N] y;\n",
"}\n",
"transformed data {\n",
" vector[N] mu;\n",
" for (i in 1:N) \n",
" mu[i] <- 0;\n",
"}\n",
"parameters {\n",
" real<lower=0> eta_sq;\n",
" real<lower=0> rho_sq;\n",
" real<lower=0> sigma_sq;\n",
"}\n",
"model {\n",
" matrix[N,N] Sigma;\n",
"\n",
" // off-diagonal elements\n",
" for (i in 1:(N-1)) {\n",
" for (j in (i+1):N) {\n",
" Sigma[i,j] <- eta_sq * exp(-rho_sq * pow(x[i] - x[j],2));\n",
" Sigma[j,i] <- Sigma[i,j];\n",
" }\n",
" }\n",
"\n",
" // diagonal elements\n",
" for (k in 1:N)\n",
" Sigma[k,k] <- eta_sq + sigma_sq; // + jitter\n",
"\n",
" eta_sq ~ cauchy(0,5);\n",
" rho_sq ~ cauchy(0,5);\n",
" sigma_sq ~ cauchy(0,5);\n",
"\n",
" y ~ multi_normal(mu,Sigma);\n",
"}\n",
"\"\"\""
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pystan\n",
"\n",
"gp_data = {'N': N, 'y': y, 'x': x}\n",
"\n",
"fit = pystan.stan(model_code=gp_code, data=gp_data,\n",
" iter=1000, chains=4)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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VoHUGm/s4kzynPru89QHg0OGfP38eb7zxBvr27Vvj99jY2ICJxJWbHb7I/hRDTLgQXA4L\nhWXE4ROaJ+np6T4pd/HixXjnnXeg1+uRlJSEkSNH+qQeAoHgPg4dfmpqKtLS0tC3b18UFhbi3//+\nNxYtWoSoqCiMGDGiIWx0iEylAwCEiOx/AbJZLLSODkJBqQIGIw0Om2iHE5oXcXFxAACdTofTp09b\nls0ajUYUFRVh/vz5LpVlTp7Ttm1bn31MEAgE7+DQ4S9cuBCjR48GYOrV9+nTB4sWLcIXX3zhsHBH\nWvpffvklvv76a0REmJTv3n33XbfU9swO31EPHwASYoORVyJHcbkSCS0CZ66KQGhI5s2bB7VajYKC\nAvTp0weZmZl47LHH/G0WgdB0CYDEbQ67uOZc2QDA4/EwefJkSCQSpwp3pKWflZWFDRs2IC0tDWlp\naW5L65qH9B318AGgTazJyReUBs48FYHQ0OTl5SEtLQ3Dhw/H3/72N/z3v/9FWVmZv80iEAg+xKHD\nFwqFOH36tOXvP/74A0Khc7J/9rT0AZPD37ZtG6ZNm4bt27e7YncN5K708B/26vOJwyc0YyIjI0FR\nFBITE3Hjxg3ExsZCp9P52ywCoekSAEv2HA7pr169Gm+99ZZFYKNly5bYsGGDU4Xb09IHgNGjR+Ol\nl16CWCzG3Llzcfr0abfEdx4F7Tnu4beODgKLolBQSgL3CM2X5ORkvPfee5g6dSoWLlyIsrIy6PWB\nn+2LQGi0BMCQvkOH37lzZxw7dgwSiQRcLhdisf217tbY09IHgJkzZ1rKGzRoELKzsx06fFvLE7QG\nk45+YpsIh+I7ANCmRTCKyhWIiBSDzXL81dVctNdJnU2rTnusWrUKly5dQvv27fHPf/4Tf/zxBz78\n8EO3yzMYDFi8eDGKi4vB4XDw3nvv1RDZIhA8IQB8ZZPAocPPzs7GZ599BqlUWkNNKy0tzWHh9rT0\nFQoFxowZg++//x4CgQB//vmn21r6FRI1WBQFtVIDrUrrsIxWkSLcK5Eh62YpWtpItGNNc9JeJ3U2\nrTrt8c9//hPjxo2DTqfD0KFDMXToUI/qO336NGiaRkZGBn7//Xds2rQJn3zyiUdlEghNisYwpL94\n8WJMmTIFycnJLssGOtLSX7BgAVJSUsDn8/Hkk09i4MCBbjVCrtJBLOKC5aR9bWKD8fv1B8gvlTt0\n+ARCU2Ty5Mk4duwY3n//fQwYMADjxo1zOzU1YFqWZzQawTAM5HK5S7r8BAKhYXDo8AUCAaZPn+5W\n4Y609MeNG4dx48a5VbY1MpUeESF8p/dPiDVNIxQ8UKBfF4+rJxAaHYMHD8bgwYOh0Whw6tQpfPDB\nB5BIJDh58qRb5QUFBaGoqAgjR45EdXU1tm3b5mWLCYGCVKkDBTg1fUoILBw6/Keffhrp6el4+umn\nwec/cqqtWrXyqWHOYjDSUGsNCBE5P0faJjYYFIC8EpnvDCMQApzbt2/j22+/xQ8//ICWLVtixowZ\nbpf15ZdfYsCAAXjzzTdRWlqKGTNm4OjRo+DxiFNoauTkVwEA+nVp0WB1BsBoeJPAocM/fPgwAGDX\nrl2W3yiKcltz29s4K6trjZDPQVy0GHklMqK4R2iWjB07Fmw2G+PHj8dXX32FmJgYj8oLDQ0Fh2N6\nnQQHB8NgMICmaYfHBVowo7s0lXYAjtvi6wQv1oRWqsHi6hAaKnCrPpI8pyYOHf6JEyd8UrG3kCnN\na/Bd60m0bx2KonIFCssUSGzpXGYvAqGpsHHjRnTs2NFr5c2cORNvv/02XnrpJRgMBqSmpkIgcJyC\nOpAStbhLoCWc8QRn2uLtxDP2kEqtk+e4Vh9JnlMXhw5fKpXiX//6FwoKCvD//t//w4YNG7B06VKn\n0l86ktY1s2LFCoSFhWHBggUuN0CuNuvouxYklBwXilOXinG7SEocPqHZ4U1nDwAikQgff/yxV8sk\nEAjexeFY9jvvvIPu3bujuroaQUFBiImJwcKFC50q3JG0LgBkZGTg5s2brlv+ELnSedEda5JahwIA\nbhdL3a6bQCAQCITGgkOHX1RUhClTpoDFYoHH4+HNN9/EgwcPnCrckbTupUuXcO3aNcuyPXd4JKvr\nYq7kUAFCgnjE4RMIBEIDI1XqXAqaJsI73sGhw2ez2ZDL5ZY1+Pfu3auhlmeP+qR1AaC8vBybN2/G\nihUragj6uIrMjaA9wBR42D4uFBK5FlUyjdv1EwiNkeLiYrz88sv461//irKyMsyYMQNFRUX+NosQ\nAGj1RlRKfftOzMmvQqlEhQqpGkoNkXRuKBzO4f/zn/9ESkoKSkpK8I9//AOXL1/G+++/71Th9qR1\nf/jhB1RXV+PVV19FeXk5tFot2rVrhwkTJtgts3bwgp42fSy0jQ9HdLTzsr8A0LNDDC7eLEeZTIeO\nSdFO19kQkDpJnb5kxYoVmD17Nj788ENER0djzJgxWLx4Mfbs2eNv0wh+5tqdShhoGnxeJMRC3woo\nmUdYG3KJX3PGocMfOHAgunXrhqtXr8JoNOLdd99FVFSUU4Xbk9ZNSUlBSkoKAODgwYPIy8tz6OyB\nutGL5VUqAIBeo3M54rJlmCmK+EL2A3RqbTtwrzlJsZI6m1ad9pBIJHj66aexceNGUBSFyZMnE2dP\nAAAYHo7C6g2Ol1W6g0pjO4qd4HscOvzNmzfX+DsnJwcAMG/ePIeFO5LW9QZSpQ5sFgUR32FT6pDQ\nIhg8Dgu5hRKv2EIgNBYEAgEePHhgmao7f/68xyI527dvx4kTJ6DX6zFt2jRMmjTJG6YSmhhX71b4\n24Rmi0teUq/X47fffkPPnj2d2t+RtK6ZiRMnumJGDWRKLULFPJd1/gGAy2GhfetQZN+TQKbSIcTF\nwD8CobGyZMkSvPbaaygoKMD48eMhlUo9WlZ37tw5XLp0CRkZGVCpVPjiiy+8aC2BQPAGDh1+7Z78\n3Llz8corr/jMIFdgGAZSpR7xMe4nwOmcEI7sexLcKKjGE508UxsjEBoLPXr0wNdff4179+7BaDSi\nXbt2HvXw//e//6FDhw74xz/+AaVSiUWLFnnRWkJzx7o/V1athtFIN77EZwGw1MDlcXClUon79+/7\nwhaXUWsNMBhpj3rmndqEAwBy8yXE4ROaPEuXLrW73ZZWhjNIJBLcv38f27ZtQ2FhIV5//XX88MMP\nbpVFINjj7n1ToF+jc/gBgEOHP2TIEMtwOcMwkMlkAdPDlz6U1Q0Vu+/wE1oEg89jI7eAzOMTmj59\n+/b1SblhYWFISkoCh8NBYmIi+Hw+qqqqEBERYfe4QFu94C5NpR0AEBJs0oKvTxfeU7138/HW1FeW\nLS19V+oPOC19NjuwtfTT09Mt/6YoCiEhIRCLnVv+5kha98cff8Tnn38OFouFMWPGuJytS6p4KKsb\n5Hxq3Npw2Cx0aB2Ga3crIZFrER7sflkEQqBjHS+Tk5ODP//8E2w2G/3790dSUpLb5fbu3Rvp6emY\nNWsWSktLodFoEB4e7vC4pqBB39S09B3pwnuqQ28+3pr6yjJr6bPoR1r6ztYfcFr6EhVkKl1ga+ln\nZmba3W5vKZ21tO6VK1ewbt06bN26FYBpTf5HH32EAwcOQCgU4tlnn8W4ceMQFhbmtPGyhyp7oR7m\nZe6UYHL4Nwok6NeVrAclNH2++OILZGRkYOjQoTAajXj99dfx2muvuR1ZP3jwYJw/fx7PP/88GIbB\nypUr3QqkJRAaG0YnskJaI1frYKRpsJ0UsPMmDh3+qVOncP78eQwZMgQcDgenT59GdHS0JdrensO3\nJ63LYrHw/fffg8ViobKyEgzDgMt1TeTB3MP31OF3TjD1RLLvEYdPaB7s27cPBw4csIzWzZ07F1On\nTvVoKZ2zOTYIhKZEhbOqhFYfwLeLpOjYpv4RMK3OiAqpGi2jgsDy4oezQ4dfVVWFw4cPIzIyEgAg\nl8sxZ84cp4J76pPWNavtsVgs/Pzzz1i9ejWeeeYZiEQil4w3z+GHeOjw28QGI0TExbW7pg8P0jMh\nNHWs89cDpmx3QUEkCIrgPAYjDZlSh/BgfvN+Z1oF39s9DVZR+hKF1m6ROQUSaHQGcDgsxIa75hft\n4dDhl5aW1piL4/P5kEqdSzhjT1rXzPDhwzF8+HAsXrwYhw4dcrgm33ouQ2s0DaUktglHdJRrsrq1\n6d05FicvFEGuo5HUuua0QnORYiV1Nq067REfH48pU6Zg9OjR4HA4+PnnnyEWiy1CW84IaxGaN3kl\nMlTKNGjbIgQtIrznlAiA5mEcgMHLaocOHf7gwYMxc+ZMjBgxAgzD4LvvvsO4ceOcKtyetK5CocDr\nr7+OnTt3gsfjQSgUOvWVaB3MUFZpktU1avUeB190iAvFyQtF+PVCIUL4bMvvzUmKldTZtOq0R2Ji\nIhITE6HT6aDT6dC/f/8GsqzpotUZUVShQJuYYHA5DT8/29DIHqYmV2tNzin/gRxsNoVWXh6GbjK4\ncU68vXLfocNfunQpvv/+e2RmZoLP52PevHlOvxwcSeuOGzcO06dPB5fLRceOHTF+/HiXjJcqteBz\n2RDwXJfVrU3XxAhQFHD1biXGPNXW4/IIhEAmkHrwNMNApTEgSMBp1EPDt+9LLem6k1qF+tmahqek\nyjSaW1SuQKvIILSJDaxRLb/TWIR3YmJikJycjOeeew5Xr151unBH0rovvPCCR5r6UqXO44A9M2Ih\nF+1aheBOsRRKjR5BAt9miSIQ/MlXX32FLVu2QC43jTyYY1fMuTIaksJSBUqqlGjXMgQxTs5XanQG\nsFkUuBy2453dQK01gMdluRRJbXw4xWg0+v/F3pDY8mP3K5XE4QcgDu/mr776Ch9//DG+/PJLqNVq\nrFixAjt37mwI2+xCMwzkSr3HAXvW9GgXCYYBsvKqvFYmgRCIfPXVVzh06BBycnKQk5OD3Nxcrzj7\nyspKDB48GHl5eU4fI5GbAphkKufzol++XYELN8tdtq82BiMNiVwLxspr6fRGXLlTQd4DDvDmYAzj\noPfbiAd+HuGgEY7OgTdw6PAPHjyInTt3QigUIiwsDF9//TW++eYbnxvmCIVaD5phvNbDB4Ce7U1p\nfy964UVCIAQySUlJTqe5dhaDwYCVK1dCIBC4dqD5PeiHjvGdYiluFEpQabW0Sqs3AgBUWpLG1RqJ\nXAvdw3NjjVShhd5Q93dbVDq7hK0WvvSFNM3gQZUKBqNzAXKlEhXuPZD5ziBrvNxuh0P6LBarRlIN\nPp8PNts3w2iuIDOr7Hkgq1ub+BgxYsKFuHy7Alq9EXyu/9tJIPiClJQUjB07Fj179qzxPLurpQ8A\nH3zwAaZOnYpt27Z5w8QGwby0tyk7d7XWgEqZBnFRQW7HSKi1BtwolIBjY4pDazDi6h3nRkNuFVe7\nVK/Oy1HqtigqV+B+pRJylQ7JrR0Lv+WVmJx92xYhvjbN6zh0+H379sUHH3wAtVqN48ePY9++fejX\nr59ThTuS1j127BjS0tLA4XDQoUMHrFq1ymnDLTr6XuzhUxSFJzrF4Ns/8nHtTiX6kGQ6hCbK2rVr\nMXbsWMTFxXmlvAMHDiAyMhL9+/fHZ5995lYZjJ3uDE0zYLFMzspWT8x6e3OmqFwBHodVIxbi2t1K\n0AyDIAHXbelws+M1WKnK6ax69Xqjcz38+qiUaRBlQ4Ne5+TIgSdodKY61FoDtDojQMGlzp7chako\nf+PQ4S9atAj79+9Hx44dcejQIQwaNMgSde8Ie9K6Wq0Wn3zyCY4dOwYej4fU1FScPHkSzzzzjFNl\nS5WmeT9vOnwAFod/LreMOHxCk4XH43k1Uv/AgQOgKApnzpxBbm4uFi9ejE8//dQi2FUf0dHBCCtX\nQqUxICxMaHM5oUqjR2Z2Kdq0CEZiq1D8drnYkuCFxeNAb6Bxo1CCbkmR9SYuqY+QIhlohkFERJCl\nbp5Ci5BKtcU+Z4iODkZohQoctb7edjQE2YVSAEZ07fCofnGhSTclNEyEaCfWy9tKnsMRaBBSVVcD\n3x62zoGtxDkAUCbToXP7uu9b8/5hIY6T59j66HMmSU2ZXAcDKAQJubhTqgAADHq8db3tql1/dqHU\n6pyJERFie0qrRKoBYzVCUts2uUpnKcdMWLjIq/eSQ4f/t7/9DV988YXTTt4ae9K6PB4PGRkZlukC\ng8EAPt8Owhw0AAAgAElEQVT5r09vqezVJj5GjNgIEa7erjB97REITZCnnnoK69evx8CBA2tIWj/x\nxBNulbd7927Lv1NSUvDuu+86dPaASVdDKlVDrTOASzEoL+fVUbssqVRCJlfjulwNMZeFaqnq0bZS\nGUqr1FBp9ci5XW5XrtQW1TJTWVU8FsRc08tYrtK5lFzFrLMglaqg0hrAgakdvkalMSD7XhWSW4ci\nVGx6d9qy+1FiFwVYDnri9SXPkSq0NpPe2MPWubNXhr39HSXPoRkG53JKES7mW+4BZ5PnVFerIJNr\nYNDpLVM79q67+diyMhkoiqrRpspKBYzaRz1+rd6I28VSJMQGo7paDZnykcJe7Tpy8yWW7RQoMGAg\n4bMh5rIaLnmORqNBSUkJWrZs6XLh9qR1KYqypM5MT0+HWq3GU0895XTZMsuQvnez21EUhb6dYnD0\n93u4fLsCreOcT+ZDIDQWsrOzAQBZWVmW3yiKQlpamsdluztPzDCmXtq53FKwKAohIh4SWjh40dWQ\nNXV/SN/wcCldlUxj6UxYo9EZUFKpQnyMGBw2CzTDNKi4jEypAyggRPToQ6KkUgkDTePufRl6dYh2\nWEZDx0TeeyBDbLgIQr7zOinF5QqEBwsgEjh/jFZvtES4W0vWKtV63CmWIqFFMKpkGig1BiS2rH/e\n3VZgoMFIg8N2X0SpuNwUG3CrsBoCB+ehIW6nei347rvv8Oyzz6KsrAzPPPMMoqKiwOfzLV/fv/zy\ni8PCHUnrMgyDDRs2ID8/3yLp6Sy+mMM3069rLI7+fg+/XrmPMYPae718AsHfWKe99jaufjRYv+jM\n86k0w6BaqUX1HS0SXFjPbTDSqJZrEREqcMkh07TpbX+zyHZQ2e0iqSlNK0WBZhiUSlTo3SHaZzoA\ntcnONwXF9etiI7mXk83UG0za994eFa2PB1UqPKhS2bbZBlKFFoXlChSWK5w+xmCkcelWeY1gQiNN\nQ6rQIbtQCplcDT6PjaJy01B92xbBMNKPPPu5nNJ6fUheiQylEhV6JkXZ/GhhUPfUa2qNCpvjUmjm\n0TS0P6nX4X/yySf461//CqlUihMnTriVVMaetC4AvPPOOxAIBJZ5fWcwD2082aMVQFFIbhcFtpeD\ndaKjg9EtKRLX71TifrkCrZqJ9jqps2nVaY/z589j586dUKlUYBgGNE3j/v37OHHihF/tsvWKcWVJ\n1p1iKSQKLdrSjEN992qr3qDdgEGGgUJjGqY10DTKq01DuAq1AeXVcigNDII4lMuR/qVVKgQJuRAL\n3RP5MltMOenxC8tMQ8i92keDz3PtQ8WT0QG9wejUh5G1I3a+7LrBhJm5ZQAexSLQVuUajHQN/Qaa\nYSzLMGtTKjFN98hVOtujFDY8/r0HMpv3natBjRRluu+9vTa/Xoffq1cvdO/eHQzDYOjQoZbfXVHk\nsiet27VrVxw4cAC9e/dGSkoKKIrCjBkzMGzYMLtlmuc9uieEo3tCOKoqFU411FWe6hqL63cq8cOf\n+Rjbr41P6qiP5qT3Tur0XZ32WL58OV599VUcPHgQKSkp+PXXX9GlS5cGss41HL3y6IcvxSr5ozXe\n5uQj9sgtkDhVf/4Dq2tXy5gquQYGUOgS71hK93axFBqdAd0SI6E30Mh7uJbb2d6sKzyoUkGtNdic\nEtEbafBR1wEr1HoU3iizWV5Bqfv374Wb5ejXpYXT69x9idrJuCyVxvH9w9js49fE2Y+xhqJeh79u\n3TqsW7cOr7/+Oj799FO3CnckrWueRwxEeneIgVh4C79kFmBkn9bNIhkGofkgEAgwadIkFBcXIyQk\nBGvWrMFzzz3nJ2scvBTt9HIY2HbuFCjoDUaotEbwOCyH88hanRE592yvJbcWi6nPkuJyxx2PCumj\n4C5v9NwU5uVgNk6fWRhG5ML8+e1iKXj8uqMNBiPtsU7B1TsVHpVhZBgo1Hq3R0OcQW11H129W+Fw\nf2cuob2RI3/g0Iu56+wbO1wOC0/3aAmZUodzOaX+NodA8Cp8Ph/V1dVITEzElStXQFEUVCqV4wN9\nwqOXot5FoZX6evI6gxEXbpYjJ78KV+48enmrtQbcLKyuU49Co4dUVTdYD6g5XFwfhTYcvt5gNK0w\nUOnwZ/YDy+8Mw6C4Qllnf/M2e8isbNToTW03GhnIlDooNXXXg5dK6kbFWwLc5FpIHeRlN+3vcBeH\nuOrsaYaxCNwApmH163mVUKgftdFgpF0OdJPI/D+P7k9It9UOQx6PA5tF4bs/82vMAxEIjZ1Zs2bh\nzTffxDPPPINDhw5h9OjR6Natm19sMTsDhmFQWFbXcdp78h5U2f5IqZTZlnC9VVSNKrnGZj22qPMB\nYmVMfc65Sq5BRbUaNwulyC+VI7vWyIFUqbPMD5u5dLMcf2Y/wNmcUpuO20z2vao6xwIMsvOrcO1u\nZZ39Vdq6ZdGMadTiRqEEOQUS6A00qmQav0gbW2MdI1ZRrbbRTuB63qM2nq9n+sEe5ox+rlBQqrBM\nG9Umq55RITNqJ6YGANMHjsSJjy9P8TyvbBMmKlSIIX3i8fO5Apy/UYa+nWP9bRKB4BVGjRqFkSNH\ngqIoHDhwAPn5+ejYsaPb5RkMBrz99tsoLi6GXq/HnDlzMGTIEJfK0BtoS3CcNaX1OHV3MH9clFU7\nV+aFm647FcCUKrc+amfTo2kGWitFuUqpxm62TplSh+iwRwItrvbA8x/IavS4c/KrLH/z/Jgl1Fqn\n39kAPmfmyB2dH0ejDwaaRqVUA7GQWyPQ894DuSUdcr11O7TORLW8YUYeSA/fAS8M7QAWReHomXv1\nfuURCI2Nq1ev4ssvv4ROp8O8efPw8ssv4+eff3a7vCNHjiA8PBx79uzB559/jvfee8+p46yfKVvO\nHjAFmZnx9/Sa9Zysu6+D2vO6td8rjsplGM/OQ20HV5/Du1Eowa2i6nqj2L1NnlVCmnwPggR9gZFm\ncOVORQ27rGMyvI35niizMSXjCT51+AzDYOXKlXjxxRcxY8YMFBYW1tlHrVZj6tSpLqXTbEhaRgXh\nya6xKK5Q4o/rDxwfQCA0AtasWYOuXbvixx9/BJ/Px8GDB7F9+3a3yxs1ahTmz58PwKS3weE4HjzM\nza9y2XG5+9GdVyJzar7aFaznk12iVhNqD02XVClRZmM420zt3q8vuyGVMg3ulTRQZrgAxpUgy9tF\nUmh1RtAMY3d65naR1FJufXr8Bpp2OhOhM/jU4Vtr6aemptbJxHX9+nVMnz7d5odAIDH+6UTwuCzs\nO3G7RtAMgdBYoWkaffv2xalTpzBixAi0bNkSRg8SoAiFQohEIigUCsyfPx9vvvmmw2NKKxsuSLBU\nokKOk8vw7GH93ndnPhgAnAlLvFsis6iJ2prLrlGej+OL3Fkf31A4EwXvjZ64K+e4QqZGXonM4Qdh\nhUwN+cN97N1LD1zMYWAPn87h29PSBwC9Xo+tW7firbfe8qUZHhMVJsRzA9oh48Rt7PvlFl4d29Xf\nJhEIHiEUCvHFF1/g7NmzWLFiBb766isEBQV5VGZJSQnmzZuH6dOn49lnn3XqmNrJQgKdkBABDDbm\njV1pR3iYCCFyxx2Hoio1hEo91FpDjfJDg/k1krB4m9pt4fPY4AZoXpGoqGCElNbvLM1t8fQuk2qM\nrt2rFIWoSLElCVN9FFWq0YbLsV+2F9Ucferw7WnpAyZxH8D7akK+YFifePyZXYo/skrRKSEcA3q0\n8rdJBILbbNy4Ef/973/xySefIDQ0FGVlZfjwww/dLq+iogKzZ8/GihUrnE6fDdhPphKI6LX6Guu1\nAZNTcaUdF7Kd31dmYypbp9U7JSzkDq62xd/cL5HWa6+/23LjboVT9V93sI9MrsbjHb2TudWnDt+R\nlr47+FMWddGMJ7B482/46vtcREeIMaCXd3KJ26uzISF1Nq067REbG1sjPa6no2zbtm2DTCbD1q1b\nsWXLFlAUhR07dliyYTYVajt7f+ArZ98YuVVP7oNAwNFUjD/wqcN3pKXvDv6URRWwgP97oSc2ZlzC\nxj0XcPVmGcb2b+tSNihX62woSJ1Nr86GZNmyZVi2bFmD1kkg6ANArrcx4VOHb09L/4UXXrDs50la\ny4YmsWUIFkx+DNuOZOGHcwX4I+sBnukVh4GPtUKY2LupegkEAoFA8BYU0xgm0K0IlN6ZTm/Ed3/m\n46fMQmh0RrBZFJ7s2gIj/9IGraI8C35qTr1QUqfv6gx0Tl8salTzxfXh77lib0LaEpiMHZTslXKI\n0p6b8LhsTBjQDiP6tsGfWQ/w8/ki/O9aCc5cK0HfLrEY178tWkZ65vgJBAKBQPAWxOF7iJDPwTOP\nt8agXnG4dLMCR3/Pw9nsUpzNLkXXxAj0794CHePDER5MhvsJBAKB4D+Iw/cSLIpC747ReLxDFC7e\nrMDPmQXIyqtCVp4puUKomIfoUCFaRIrQJkaMDvFhiI8RN6r4BQKBQCA0Xnzq8BmGwapVq3Djxg3w\neDysXbsW8fHxlu0nTpzA1q1bweFwMGnSpBqBfI0V6qHj790xGkXlCly7U4mbhdUorlDi7n0Zbhc/\nSqoRFSpAn44x6N0xGomtQsAizp/QSHH0rLtCq8gg3K90T8WuqSLgcdxejhci4gWUQiifw4bWYETL\niCCHaoXO7ENwHp86fGtp3StXrmDdunXYunUrAFN2rfXr1+PAgQPg8/mYOnUqhg4dioiICF+a1KC0\njhajdbQYo/olADDlby6tUiG/VI5rd6tw5XYFfjhXgB/OFYDPY6N1dBCiQ4WIiQoCn0UhTMxHZKgA\nMeFChAbxyGgAIWCx96w7IiJYgMgQAe5XKsEwDOJjxOByWMgvlUPA40DIY4PNZtWRSI0IFqBKbkqD\n2zkhAjn5VYiPCUZhmRzBQh6EfA74XBaCRTyodQbo9TTEIi7CxHxIlTqIhRzQNIMLN8s9avsTXWLx\nx+Uil3K+90yKwpU7FU5tT2oVasmOp9ToUSXTIiZMiEu3TXbHxwQjMoSPy7cflSficxEs4qJVZBD4\nPDb0BmONdia2CKmRrMYWXdpG1EjtKxZyodEaESrmoVKmgYDLQaeEMEu9Qh4Hap3Bci1skdgiBLER\nIuj0RvC4bOiNdL3St9FhQiS0CLY4/A6twyDkc1Ap00DE5yAkiGczRS6XzYb+oUx0QmwwKIrCvQcy\n8Dhs6Gzo0vftFItzuY9yOrSPC4VUqUN5tdqqTBb0RhoUKKfkfG0hFnLRMiIIt4rr1w5oHxcKCpRl\nny5tIxAk8J6b9pu07p07d5CQkACxWAwA6N27NzIzMzFixAhfmuRXOGwW4qLFiIsW46luLaE3GJF1\nT4KLN8qR90CGvPty3Cm2/RByOSxEhAgQGsRDsIgLIZ8DAY8NEZ8DIZ+DIAEXYhEXQQIORHwOeFw2\nOGwWWJRp1IHFosBmUeBz2WCxPP9woGnGksiEzaKa3McIzTBgGAYsqum1zRc4ktG2xVM9WuFBqRQC\nnuk1FBkqsGxrESFCsIiHIAHHcv7bx4VattMPr82DKhU4LAqhQTz069ICANAyUlRntCwkqKYAUOjD\nv9ks4C+dY6HVGy12qDQGCPhsUDDpyHPYLDAMA4aB5dmpkmlwv1KJuCgxRAIueiRFAQBKHo5MsNks\nCHlsGGkGQQIOZEo9wkP4UGsN4HHY4HJY6Ns5FnklMkQECyAWckFRQKlEDbXGACGfgy5tIyDkccDl\nPBIrCxJwLalzk1qFwmCkLcHBfTrGQKUxgMth1dEG4XLY6N0hGiWVKkSHCSHkcxAdLsS9EjmiwwQQ\n8jngsFkQigU4ee4eosOECBHx0LdTLFgsCgYjDQ77kR2JVn8/0SnG9I6xOuftW4XCyDCQK/VIaBEM\nLodluWaAKejZfE3btQyB3khDb6BNH2IC0zvNvE/fTrFQavQIFpmuWetosaWebomR4LJZMNI0rt6t\nREJsMIw0g6JyBTq0CQeHoS33EwBI5FrwuWwI+WwUlikAmK6p+d4xExUqRFKrUDAMA4ORqXENcvIl\n0BuMSGwZgmARD1q9EVUyDaLDhDAYadOHjJ5GtVILLpsFAY9teR8DQGRoi4fl0pAodGBTFMqq1ejY\nJsxyfiRyIbR6I0JE3hWu8pu0bu1tQUFBkMsDKyWir+Fy2HisfRQea296WegNNOQqHVg8Du4VVkOi\n0KKiWo2yajUqpBpUSjVeyQ3O45huQj6PDS6HDTaLApvNgsFgBM3A8nJjGNO3rNHIwEjTMBgZ6A2m\nB7N21jLOwxvbXC6PwwaHTVk+BhiGgZFmQNMMDDQDhmbAYrNgNNJgmT9I2BQ4LNO/KephpuuH7xB7\nea8tX9yMKXMYTZuctYFmLLab2mN60Rhpc52mY4y0qV1avRFqrQEandGSMIQCwOWaXqBCnukji8th\n1fiYcmQjj8eGzkUt8hptYhjQjKldRtrUHiNtukZ9OsVg7FNtXSrbFziS0bYFl8OyONnaUBQFsbD+\n3OzmF6P5RW5rm7NQFFXDDpFVj4rDpiz7WBcbESJARMijDxQz9a3MiQw1OS/rPPcsikJSq9Aa+8VZ\nLel19LI39/of2cqq82FjDZfDRpvYR9eIRVFo1yqkxj5iIRe9O0RbnJP5A8fa2df+m23jGkc9tC02\n/NFv9V0XFosCn8UGn8u2ec1ZLMri7GvzaH82/tI51vKuiQwRoGVUUJ3lsNbB09bnoj4oigKXU9Pu\nzgnhNf7mc9mW624+L3weG7G8uvdmzXLZiHl4nqw/dgGgfetQW4d5jN+kdcViMRQKhWWbUqlESEhI\nnTJq01xkUZPjwx3vRCAECO7KaDcGvQBnaCrtAIBWLcP8bYLXaErXxRv4ND3u448/jtOnTwNAHWnd\npKQk5OfnQyaTQafTITMzE4899pgvzSEQCD7C3rNOIBACA58q7VlH7gImad2srCyLtO6pU6ewefNm\nMAyD559/HlOnTvWVKQQCwYfYetYTExP9bBWBQLCm0UnrEggEAoFAcB2fDukTCAQCgUAIDIjDJxAI\nBAKhGUAcPgEAcO7cOYwdO9bfZhAIBALBRxCHTwBgCroiEAgEQtOlUQTteVOn21kMBgPefvttFBcX\nQ6/XY86cORgyZIhP6wSAyspKTJo0Cbt27fJ5lPO5c+ewdu1ayGQySCQS6PV6dOnSBXq9HjqdDu+9\n9x569+4NhUKB1atXIzc3FxRFYcCAAUhNTbW7zrqiogKLFy+GRCIBAAwaNAjz58+HXq/He++9h6NH\nj4KiKAQFBaFnz57YvHmzz9p55coVbNy4Eenp6SgoKMCSJUvAYrGQnJyMlStX+rzOnJwcrFmzBmw2\nGzweDxs2bPCJhLR1nWaOHj2KPXv2ICMjw+v1uYM/nmVv8Nxzz1lUQVu3bo05c+bYvI/279+Pffv2\ngcvlYs6cORg8eLAfra6JM8+BLfu1Wi3eeustVFZWQiwWY/369QgP969OSO3n67XXXkPbtm0BAFOn\nTsWoUaMCvi22fEz79u19e12YRsBPP/3ELFmyhGEYhrl8+TLz+uuv+7zOb775hnn//fcZhmGY6upq\nZvDgwT6vU6/XM3PnzmVGjBjB3L171+f1nT17luncuTMza9Ys5uzZs0yXLl2Y5cuXMwzDMLt27WJm\nzZrFMAzDLFq0iFm7di3DMAyj0+mYV155hdm+fbvdsrds2cKsXLmSYRiGUalUzIIFCxi5XM588cUX\nzLhx45j58+czSqWSGTZsGPPMM8/4rI2ff/45M2bMGGbKlCkMwzDMnDlzmMzMTIZhGGbFihXMzz//\n7PM6p0+fzuTm5jIMwzAZGRnMunXrfF4nwzBMVlYWM3PmzBq/+Rt/PMueotVqmYkTJ9b4zdZ9VF5e\nzowZM4bR6/WMXC5nxowZw+h0On+YXAdnnoP67N+1axfz73//m2EYhvn222+ZNWvW+K0dDFO3Lfv3\n72d27dpVY5/G0BZrHyOVSpnBgwf7/Lo0iiF9d3S6PWXUqFGYP38+AJNqGIfj+0zCH3zwAaZOnYqY\nmBif12VGJBKhR48e2LRpEzgcDl588UUAQOfOnVFZWQkA+O233zB9+nQAAJfLxdSpU/Hrr7/aLXfA\ngAH46aef8Pe//x379u1DamoqxGIxzp49i5EjR4KmaQiFQvTp08cpRTZ3SUhIwJYtWyx/Z2VloU+f\nPgCAgQMH4o8//vB5nZs2bULHjh0BmL7q+Xx+fYd6rU6JRIKPP/4Yy5Yt83pdnuCPZ9lTcnNzoVKp\nMHv2bMyaNQtXrlxBdnZ2jfvo999/x9WrV9G7d29wOByIxWK0bdvWokvgbxw9B/XZn5ubiwsXLmDg\nwIGWfX3xzLiCrbacOnUK06dPx/Lly6FUKhtFW6x9jNFoBJvNdvq+crctjcLh16fT7UuEQiFEIhEU\nCgXmz5+PN99806f1HThwAJGRkejfv3+DzqezWCxcv34db7zxBlq0aIHU1FQAsGhSA6hzrmmahsFg\nPzNY9+7d8csvv2DKlCkoLi7G888/j0uXLoHP54PH46GoqAgjR47E999/j6SkJN80DsDw4cPBZrMt\nf1ufW1/lb6hdZ1SUKVfCxYsXsXfvXsyaNcunddI0jeXLl2PJkiUQCoUBFZ/hj2fZUwQCAWbPno2d\nO3di1apVWLhwYZ37SKFQQKlU1mibSCQKmPwgjp6D+uw3/26ezjDv609qt6Vnz55YtGgRdu/ejfj4\neGzevLnOfRaIbbHlY3x9XRqFw3dXp9tTSkpKMHPmTEycOBHPPvusT+s6cOAAzpw5g5SUFOTm5mLx\n4sWWHrYvYbPZGDBggGV+mc/no6qqZmrLp59+Gnv27AEA6HQ67Nu3D/3797db7ocffogtW7Zg6NCh\nWLZsGdq3b4/8/HwMHjwYX331FZ566ikcPXoUHTp0wPnz56HTNUy+buv7xtn8Dd7gu+++w+rVq7F9\n+3afzxlmZWWhoKAAq1atQmpqKu7cuYN169b5tE5n8dez7Alt27bFuHHjLP8OCwur8Wya7yN384P4\nA1vPQX32W1+z2s4nEBg2bBi6dOli+Xdubi6Cg4MbRVusfczo0aN9fl0C+0l7iD90uisqKjB79my8\n9dZbmDhxos/r2717N9LT05Geno5OnTrhgw8+QGRkpM/rFQqF+O233wCYhps1Gk0dh7R8+XJUVFRg\n7NixGDduHJKSkjBnzhy75c6cORM5OTkYO3YsJk2ahPj4eIwePRoTJ05E27ZtceDAAUyfPh2hoaGg\nabrBenldunRBZmYmAODXX39F7969fV7n4cOHsWfPHqSnpyMuLs6ndTEMg+7du+Po0aNIS0vDRx99\nhPbt22Pp0qU+rddZGqPm/jfffIP169cDAEpLS6FQKNC/f3+cO3cOwKP7qHv37rhw4QJ0Oh3kcjnu\n3r2L5ORkf5peL7aeg/rs79Wrl+WanT592jLkHCjMnj0b165dAwD88ccf6Nq1a6Noiy0f07lzZ59e\nF59PTNuKHAaAq1ev4oMPPgBgGvL817/+BR7PdgrE4cOH48yZM5b55YborWzbtg0ymQxbt27Fli1b\nQFEUduzYUa+N3qSh8q/37dsXJ06cwMaNG7FhwwaIRCKkpqaCoij07dsXR48eBQCEhYXhww8/dKns\nqKgo7Ny50+a2zz77DG+//TbKy8tx+/ZtdOvWDQJB3VSjvmDx4sV45513oNfrkZSUhJEjR/q0Ppqm\n8f7776NVq1aYO3eu5dzOmzfPJ/X56t4xTxPk5eWBxWJh9erVaN++vWX7iRMnsHXrVnA4HEyaNAkv\nvPCCzXL88Sx7yvPPP4+lS5di2rRpYLFYWL9+PcLCwrB8+fIa9xFFUUhJScG0adPAMAwWLFjQIO8L\nd7D1HNRn/9SpU7F48WJMmzYNPB7P5XeBr1m1ahXee+89cLlcREdH491330VQUFDAt8WWj1m2bBnW\nrFnjs+vi02V5O3bswOHDhxEUFFRnWdCECRPw73//G/Hx8fj666/Rp08fy7IKQuPgpZdegkqlqvEb\nwzCgKAp79uyBSFR/PmgzX3zxBW7dutUoXvzNmePHj+PkyZNYu3Ytzp07hy+//BJbt24FYBoZevbZ\nZ3HgwAHw+XxMnToV27dv98nSQwKB4D4+7eGboykXLVpU4/e8vDyEhYVh165duHXrFgYPHkycfSPE\nPK/vCa+88ooXLCH4mmHDhll0KIqLixEaGmrZdufOHSQkJFgCiHr37o3MzEyMGDHCL7YSCATb+HQO\nv3Y0pRmJRILLly8jJSUFu3btwu+//46zZ8/60hQCgeAhLBYLS5Yswdq1a2vIMNeOiPbV6gcCgeAZ\nfgnaCwsLQ5s2bZCYmAgOh4MBAwY4tR43kJYXEQjNkfXr1+PHH3/E8uXLodFoAMDt6HTyPBMIDYvv\n1WRQ98GOj4+HSqVCYWEh4uPjceHCBTz//PMOy6EoCuXl/u85REcHEzsCzI5AsCHQ7PAmhw8fRmlp\nKf7+97+Dz+eDxWJZlhAlJSUhPz8fMpkMAoEAmZmZmD17tsMyA+V59pRAuebegLQlMPHW89wgDt8c\nOXzs2DGo1Wq88MILWLt2LRYsWAAA6NWrFwYNGtQQphAIBDf461//iqVLl2L69OkWDfCffvrJ8jwv\nXboUr7zyChiGwQsvvNCgapEEAsE5GkXyHGsC4YstUL4ciR2BZUOg2dEYCIRz5SmBcs29gb/aIlPq\nwOWwIOR7rw/a1K6LN2gUwjsEAoFAaHpo9UYYjDSy86tw5U6Fv81p8jTIkD6BQCAQCNbQDINLt8rB\nCXBp5aYEOdMEAoFAaHDMs8mGAE+e1JTwucO/cuUKUlJS6t2+YsUKfPTRR742g0AgEAgBROOKHmsa\n+NTh79ixw6I3bYuMjAzcvHnTlyYQCAQCgUCAjx2+WVrXFpcuXcK1a9csSTQIJmiawe0iKX7KLMSx\n3+/ht6v3UVGt9rdZBAKBQGjk+DRob/jw4SguLq7ze3l5OTZv3oytW7fiu+++86UJjYriCiV2HM1G\nfu5YP80AACAASURBVGndpSTtW4di6tBkJLYMzPzaBAKBQAhs/BKl/8MPP6C6uhqvvvoqysvLodVq\n0a5dO0yYMMEf5gQENwok+Gj/FegNNPp2jsFj7aMgEnBRIVXj4s1yZN+TYG3aBYx/ui3GPNW2wVLo\nEggALGI7xcXF0Ov1mDNnjiWZDgB8+eWX+Prrry0Z8t59912SEItACDD8Iq2bkpJiCeQ7ePAg8vLy\nnHb2gSIo4k07ZEoddnybAyPNYMnMJ9C/R6sa26eM6Iwrt8rxyb5LOPhbHoKC+JgyvKPX7fCEQLAj\nEGwAAscOb3LkyBGEh4djw4YNkEqlmDBhQg2Hn5WVhQ0bNqBLly5+tJJAINjDb9K67hIIykneVnDa\nfOAaKqUaPDewHTq0tF12qzABFk97HO+nX8DuH3LBoYBJwzo2yfPRWG0INDu8yahRozBy5EgAAE3T\n4HBqvjqysrKwbds2lJeXY/Dgwfj73//u1foJBILn+Nzhx8XFISMjAwAwZsyYOtsnTpzoaxMCmjvF\nUly8WY4OrUPxbL8Eu/uGB/OxcOpjWPPVefzn+C08/Xg8EVIguExRURFu376NAQMG4P79+4iPj3d4\njFAoBGBKhTt//ny8+eabNbaPHj0aL730EsRiMebOnYvTp0+T/BgEQoBBlPb8zA/nCgAAEwa0A4vl\neF4+NlyEF4cmY+e3Odi8/zL++Vw3Mp9PcJrvvvsOn376KdRqNfbt24cXX3wRixYtwvjx4x0eW1JS\ngnnz5mH69Ol49tlna2ybOXMmxGIxAGDQoEHIzs52yuE3lemPQGiHwUijuEyBVtFB4HLYbpfTUG0x\nGGmE3K85GubtugPhugQSxOH7kTKJChdvlCOhRTA6tglz+rinurVAZm4ZLt8qx9mcUvTr0sKHVhKa\nEp9//jn+85//YPr06YiMjMTBgwfx8ssvO3T4FRUVmD17NlasWIF+/frV2KZQKDBmzBh8//33EAgE\n+PPPP51Kdw0ExhSdpwTKNE5eiQylEhWKHwiQ3Nr594k17rTFHKPlasfDYKQhk9dccuzN8xgo18Ub\nNKr0uATb/Hy+CAyAkX3buPSwUBSFl4Z3QPa9P3Hw17vo0zEGHDYZ3Cc4hsViWXriABATE2PJa2+P\nbdu2QSaTYevWrdiyZQsoisLkyZMtMTkLFixASkoK+Hw+nnzySQwcONCXzSDYQKszmv6vNzZovZm5\nZRDw2OiRFNWg9RJchzh8P2GkaZzLKUWIiIs+naJdPj46TIiRT7bFsf/l4fTl+xjau7UPrCQ0NZKT\nk7F7924YDAbk5ORg79696NSpk8Pjli1bhmXLltW7fdy4cRg3bpw3TW3yMAzTJKbjaIaBSmvwtxkE\nJ/Cblv6xY8cwefJkTJs2DatWrfK1GQHHzYJqyFV69O4YA7ab2aKmDOsIPo+No2fyGvyrntA4WbFi\nBUpLS8Hn8/H2229DLBZj5cqV/jarUSORaXDhRhnULjg9lcaAszmlKK1S+dAygreRq3RQqG1LxTcG\n/KKlr9Vq8cknn2D37t3Yu3cv5HI5Tp486UtTAo7zN8oBAH06ut67NxMWzMfwPq0hU+lx+vJ9b5lG\naMKIRCKkpqbim2++wcGDB7F48eIaQ/wE17lRIIHeSON+pdLpYyplGgBA3gOZr8wi+ICse1W4nldp\nd58qmQZXblfAYAy8LIB+0dLn8XjIyMgAj8cDYFLx4vP5vjQloKBpBhduliNYxEUHF4L1bDG8Tzz4\nXDa+P5sPvYH08gn26dSpEzp37lzjPzLf3vDUHsi/X6Fsdr39ppot72ZRNdQ6g+WjLpDwi5Y+RVEW\nCc709HSo1Wo89dRTvjQloLhVVA2ZUodBj7VyezjfTLCIhyGPx+H7swX47WoJhjxO5vIJ9ZObm2v5\nt16vx/Hjx3H58mU/WtT48YbjKigzRZPHRog8LywAoBkGGq0RIgEJEwskHF6Nq1evokePHl6vmGEY\nbNiwAfn5+di8ebPTxwXKukpP7Dj2p2nt/TNPtPG4PdHRwZg2qgt+uViMH84V4rmhHcHlNHzEfiBc\nl0CwAQgcOxzB5XIxatQofPbZZ/42pUlA1em3N19uFVZDotCiW2IkxEKuv80hPMShw9+4cSMkEgnG\njx+P8ePHIzra9Tnn2lr6APDOO+9AIBBg69atLpUVCOsqPV3fmZn9ABw2C7EhfI/KsbZjUM9W+Pl8\nIY6cuoWBPVs5ONK7BMJ610CwIdDssMWhQ4cs/2YYBrdu3QKXS17ITRXzPHJDL9uVKLQAAJVGb8fh\nN9Ex/QDGocNPS0tDcXExDh8+jNmzZ6Nly5aYOHEihg4d6vSLoraWfteuXXHgwAH07t0bKSkpoCgK\nM2bMwLBhwzxrTSNAqtShsEyBLm3Dwee6r4ZVm5F/aYOTl4px7Pd7eKpbC7Iun2CTs2fP1vg7PDwc\nmzZt8pM1BF9z/kYZABBxLgIAJ+fw4+LiMGHCBHA4HGRkZCAtLQ2bNm3CwoULMXz4cIfH2tLSz87O\n9sDsxkv2vSoAQNfECK+WGx7Mx4CeLXHyYjH+yHqAAT0atpdPaBysW7fOreMcpcc9ceIEtm7dCg6H\ng0mTJnmUIIvgHvoAjAonBBYOHf7+/ftx5MgRlJeXY8KECdi7dy9atGiB0tJSTJw40aHDJ9QkK++h\nw2/rXYcPAKP7JeC3K/dx9Mw9PNmV9PIJjxgyZIhdkZdffvnF7vH20uMaDAasX78eBw4cAJ/Px9Sp\nUzF06FBLYC7B98iUOig1puXPJJagfq7eqUBoEB8JLTyLs2EYBvceyBEZKkCIiOcl63yPQ4d//vx5\nvPHGG+jbt2+N32NjY4lgh4swDIOsvCqEiLhoHeP9tc8RIQIM6hmHXy4W4cy1Egx6LM7rdRAaJ+np\n6R4dby897p07d5CQkGBZz9+7d29kZmZixIgRHtXZXJCpdB6XUf1wzrwx4e7qBr2BRta9KrSJESMi\nROD0cTRtUgRUaQ0eO3yZUodSiQqlElX90yUutE9voHG7WIr4GLFPgxwddgFTU1Nx+vRpAEBhYSEW\nLVqEiooKACAPtIvcr1RBqtShS9sIsHwkqTn6qQRwOSwc/f0e9AYyxEcwERcXh7i4OERHRyM7OxuZ\nmZnIzMzEn3/+ia+//trh8UKhECKRyGZ6XIVCgeDg/8/eeYdHVW1//zt9JjOZ1EkhCaSHKiUUkRaa\ngnTpKgHFe0XFSleKKEi5+OpV5Ir3dy2ggoggGlERKTZKQAiQhB5CGqnTeznvH8MMM5k+mZbkfJ7H\nxzDnnL3XPm2dvfYq916gXC4XUmnwHRc9wV6mSqVah0ax/2OpTct83qJQaaFx8aw3iJWQyDUweKFl\nb9dKcbLkDvSG0HifNIiVUGl0uFopCpoMvnQ3NBAE7jQpIJarW3wvuMLlDH/x4sUYN24cAOOsvm/f\nvli6dCk+/vhjtzooKirCli1bbGYY7XHN78ptIQB4VBnPUyJ5LIzok4SfT1fg2LkqjO7nutY5Sfth\n4cKFUCqVuH37Nvr27YvCwkL06tXLrWMdlcfl8XiQyWTmf8vlcvD5fLfaDIUQxhuVIlTWydAjM9Zq\nxnj870oAQEZqtNNys9fvyMAP5yAqKgwCQTgaxUpjrhEns0+FjoBEbfuR4c35MMnJD+cY/89lmtvh\nh4sBAHWSu1aEJiU6CLjISoly2F5zGUoqxOCHc8DhshHBs02QZurD8jjTb9HRPAhiuXb7UWv14N+R\nWf3mzvg1oECo0Lm1v+V2vYEAv0ridj/2MI0rJoYHvlBlty3TPo1yLbpkckFzsrSq1xvwR1H13eM4\noFIofn0mXCp8kUiEWbNmATBmyJsxYwZ27drlVuP/93//hwMHDoDLtb7g7XXN78pt4xdp546OHzZf\nMG5gKn4rqkbBiVsYfF8iOCwy+QWJkbKyMhw6dAjr16/H1KlTsXTpUrz44osuj3NWHjcjIwPl5eWQ\nSCRgs9koLCzE/Pnz3ZInFEIYr5Q1Qm8w4GZ5E/QWpl5T6dbaWilYTFuFr9bqodcT5n3ZNArqOXSc\nLLlj3iczKQKxERybY5uEcpvSsIB356N5O4ROb27HXh8SqRKRDhLi2AsrNbXR2CiDRmm7/GDabnmc\n6be6ejrohH3LgFqr96o8blOTwm6fJnR6A8QyDXIyYtHQcO+DwmAgzMd9f/wa+neJ99jSajq+qVHm\nUAbLMZVer3eaTEmh0lrtT6VQ7I7JVx8BLk36HA7HbNIHgBMnToDDsb2B7eEota7lmh+DwTCv+bVl\nCILAlQoRInhMxEW5d/68hcdh4KH+HSFVaHGosMKvfZG0LmJiYkChUJCWloYrV64gPj4eGo3rNWTL\n8rhz5sxBfn4+CgoK8PXXX4NOp2PFihV48sknMXv2bEyfPh1xcXEeyUUQhM0SlEKlQ53Q/XSzDSKl\n3fVwjVYPpVqHG9Vi6PQGEHdNqCYzvjeLa3eaFDh3rR4XbjY43e9mddvMle9uGm9TBkFf4up6XakQ\n4VqVCPUi64+JpmapbnUBWPJ0bfoPrIOly6nf2rVrsWTJEixduhQAkJiYiM2bN7vVuKPUum1hzc9T\n7jQpIJFr0L9LXEBKYj7YLwW/nq3Ez6dvY0SfJIS3Ik9SEv+RlZWFN998E7Nnz8bixYtRV1dnU9zK\nHq7K4+bl5SEvL89jeQwEAaFEjTqhAmKFBn2yBGDezU9hUqbhYUwrKxVBEJApjQldLJ+l69VGU6ql\nE9WtOxLcschRz6LTwGbS7v5OR6/MWK/WY2/Xeve+qhMqwOP47lm0l9QMAMQyNahUz94z5XekUBkA\ntotp4O1aKaob5ejSKRoR3MC9VwwGAuW1Urh6fUrvfvQp1TqE0Yw76w0G8/3hEyyEkMg1qKiXIScl\nMuQjo1wq/C5duqCgoABCoRAMBsMnlbVa+5of4LkcZ64bKyz17Zbo0zE4a2vW6Bz898AlHC2qwfyJ\n3X3Wp6dyBIpQkAEIHTns8frrr+PcuXPIzMzE888/jxMnTuDtt98OmjzV9XJUWphdlRq9WeGbaO5o\nVtOowO06KZJjeWCzaFCq9UixE/UiVWislD1gXMc1ObipNLq7v7k/06uql9mJd3fvk0Gl0eFmjXHG\nnyzwb4XC0rv+Qp5Q0ySHXGtA15QIu9sJGJWuqSqgWKb2u8InCAKNYhXqREpEcJmo9cDiY92OjwWz\noKTc6GhX26RAko+vq6MPOm9xqfBLSkrw4YcfQiwWW3W+Y8cOtztpLnRrX/PzJn3q2bvreklRbJ+N\nwZUcfbNi8Q2fhYI/yjC4W7xHISy+lCMQhIIMoSaHPZ5//nlMnDgRGo0GI0eOxMiRIwMsmTWm2HF3\nMBAEGsQqNEmNplmRXA1Zg/H4xBjbddJiDz2eCUeK22JGWVFv/Dixt/brauapN3j28laqdSAIAmFs\nz8K0pHbW2X1Fg4VZvMW6yM7xaq3eKgNpyS2heTwtiTrytcK3d6m96cLVPXP+WgMoFApGx7k3IXaF\nS4W/bNkyzJw5E1lZWV6bopun1p0+fbp5zY8gCK/W/FoTBEHgym0h+GEMJASwGhaDTsWkQWn45MfL\nKDhRjvyHcgLWN0loMmPGDBQUFOCtt97CkCFDMHHiRAwYMCDYYplRaXQ2s8bL5SL0SI9Gk1SNW5b1\n4y3esO7OhGqa5AjzgROro/C2mruzX19QdMO4pOEsLa6v9JhQ6mYcv8W4a5rkLY5nb865a/W4Lz3W\nXGXP8uPF3lhNSzstQaPVQyhTIy6S47aO8ya80RvUPi557vLOZ7PZePzxx73uwFFqXW/X/Foj9SIl\nRDIN+nYOzPq9JQ/0SMAPJ8vxe1E1Hr6/o12PYZL2g+m5U6lUOHbsGDZt2gShUIijR48GWzQAQFmN\nBPFR1h/FWr0ef1+rd3qcJ5NnhVpncZzvXtwKlc7G5Gz5vFs++c7eAjq9wez97wytTg+dG/u5w5UK\nN5YAfKzjHFlUFCqt22V1L5U1el0nwHRpSm4JodLqcKdRgW5p0bjTqEC9WImembEOvfgve7FkEgq4\nPKuDBw/Gzp07MXjwYLBY92IwO3Qgc7W7y5UKYzheTor/4u8dQaNSMeGBVPzvh1L8cKIcc8d0DrgM\nJKHF9evX8cMPP+Cnn35CYmIi8vPzgy1Si/F2rVNlJxa+OVK5BueqxQ7DaTVao6nZU5O9I0wFb0zo\n9AbQaVRcqxSBIICUOB44LDrOXnX+EeSM65ViKDU69EiPsbvd5NdAowbBCc3R15CfJtUqrfEDUKnR\noapejpomo5VGo9WDzWy5NehSWSM4LDp0OgOS43jgerhE40tcjubAgQMAgE8++cT8G4VCcZl7m+Qe\nV28HT+EDwP3d4lFwohx/XKjBuPs7ITaSnOW3VyZMmAAajYZJkybhs88+azNLaZb6vqxGgtgI3/mr\nVDUYFUBlnczpfq6MdyrNvY8LU5vucLNaguyUSDTeXT9vkqqQndyyd0mDxBiyJlFo7C5xFF42fnRE\neBHd42tHM1foDQaoNHoXitQ9mTQWJnRf1SSQKbWQKbV3/9YhN8fzEvO+wqXCP3LkSCDkaNNcqRCB\ny6ajg8B+xil/Y5zld8L/FZTi4Knb5Fp+O2bLli3IyQmN669Qac110y3RaG099V1hqWNMOc49xZGe\nUt715rdcCvAGy1SwniwlKFS2/YrlvnHMK7nVZLMGrrFIMyxWOF9Dt5eS2F84+pC4clsEiUKD7mkx\nVmO5VS1Bl2S+18uo567XQxDBQUaS/agFd2guc6A/hprj0l4jFouxcuVK5OfnQygUYsWKFZBI3Esm\nQRAE1qxZg1mzZiE/Px8VFdZJYL777js88sgjmD59utvZ+1obTRIVGsQqZCVH+i1/vjsM6BqPuEgO\n/rhQ7b6DDkmbo6XKvqioCHPmzLH5/dNPP8X48eORn5+P/Px83Lp1y2VbxTcb7f7+97V6KD1Uru4m\ngnGGyMVz4UpJ23u69QYDSsuFVtn3Qg3T7NOEaQnSHc7Z8a1wpdJMiZB85X8gsYi7t9nm4YeRWmN9\nH9WL7yXvcRklEFxd7hYuZ/irVq3CoEGDcOHCBXC5XMTFxWHx4sX46KOPXDZ++PBhaDQa7N69G0VF\nRdiwYQO2bdtm3r5582b8+OOPYLPZGDduHMaPH2+VkKctYF6/92P+fHegUal4eGAnfPrjZfx4shyP\njs4OqjwkrQ9HqbIBoLi4GJs3b0bXrl3dbs+09m0PTxV+pQcmckf42iPahFju/ge2vRmgaY05UDgK\nldTb5B+wRixTu0zwVSdUmHMReIrOCx8JkUwDLoeBRol710DmJEz07NU6h9u8wUAQkCvdD0v1BS5n\n+JWVlZg5cyaoVCqYTCZefvll3Lnj3tfq2bNnMWTIEABAz549cenSJavtnTt3hlgshlptvBiB9mAP\nBIEomOMuD3RPQAyfjeNF1RC3wnKaJMHFUapswKjwt2/fjkcffdStyQDgJO7dC4JtKgXgkyypzRMF\nOaJ5mlhf4mjt+mqlyKljYultIW7dsZ+DQqbUolaocLv6oMFA2OzrKkGSSmP7wVbTJMeZK3XW4Zxe\n4I/7q7JOZjf7n4Eg0CBSQufiA8sbXCp8Go0GqVRqVsa3bt0C1U3PzeYpdOl0OgwWFy0rKwtTp07F\nhAkTkJeX55MsfqHG5XIRwlh0dIwLvuWCTjPO8rU6A34+TebYb49UVVXhiSeewIMPPoi6ujrk5+ej\nsrLSrWNHjx4NGs3+2vq4ceOwdu1a7NixA2fPnrWqv+EIZ+9Qdz7+rWZjIaDvfUG5myl7bbP9BQZX\n8tWJFFbJeUxcKmtEWY0EWjfM+CKpBqcv1+JalWflb6saZB4pyeuVYrv+EfZwJ+mPu7eg6cNFJLO/\n3GD6EPBHHQaXJv3nn38ec+bMQU1NDZ599lmcP38eb731lluN83g8yOX3TG0Gg8H8sXDlyhUcO3YM\nR44cQVhYGBYvXoyff/4ZDz30kNM2QyVtqTty1AuVqBMpMaBbAuLjfZMpyRs5LJkyIgsHT5bj6Pkq\nPD6uq91yl4GQwx+EggxA6Mhhj9WrV2P+/Pl4++23IRAIMH78eCxbtgxffPFFi9qdO3eu+YN92LBh\nKCkpwbBhw1weZyrp2pyYGC74IvdnsbwwBqgMz0OoYmN54Nffe0fZK/HqDvxwDvhcJqh0/2S5EwjC\nPZKnJfD57BZlpmuSa62u6x2x2vxvFpMGuotQNw3h+L5whWVfgPN2CAA1YpXLvvRUKm43Sl3uZyqP\nbHmdoqK45lK+Jq5USXFfViwiIzmgK6zPBZVKgUxjAD+cA50L+b3B5RMydOhQdO/eHRcuXIBer8cb\nb7yB2NhYtxrv06cPjh49ijFjxuD8+fPIzr63bhweHg4OhwMmk2msHR0d7ZYzYKikLXVHjj8v1gAA\n0hL8k27V2zSuD/VLwZeHr+GLH0swPS8zaHL4klCQIdTksIdQKMTgwYOxZcsWUCgUzJgxw2Nl39y8\nKZPJMH78eLM/zsmTJzFt2jQ3GrJfvhUAblUIHW6zh06jg0Lt+XpoQ4PMqp/6eqmxSp9I4Xb//HAO\nJFIlCJ3eb2lt6+ulHp0Pb+GHcyCWtKwfKoVi5eAYCLnt9WW6Ls6gU6nQuVgqKLzknvy1NEClUFv1\nef6y/WOvlTVCptTa+Es0P3e+xqXC37p1q9W/S0tLAQALFy502fjo0aPx559/YtasWQCADRs2WKXX\nnTFjBh599FEwmUx07NgRU6ZM8WYMIYspG1PnEFi/t2Rozw44eLIcv56txIP9Oga04hVJcGGz2bhz\n547ZZH7mzBkwmZ5df3upsl955RXMmTMHLBYLAwcOxNChQ1224+zFVu1xilrfvSRLy4XQ6r1w4POj\nC1JriqwJBXcKd/GlqPUipU1JXmfYu138nbLXIxuYVqvF77//jp49e7q1P4VCwdq1a61+S0tLM/89\na9Ys88dAW+RyuTH+PtlOJa9gwmTQMOGBVOw8dBUHT5Rj9qisYItEEiCWL1+Op59+Grdv38akSZMg\nFovx7rvvun28o1TZEydOxMSJE30ur7v4KMkdrlaIvFP28G9lc7dS34YIvnTGbKt4W/WvpbhU+M1n\n8s899xyefPJJvwnUVqgTKdEoUaFPtiCo8feOGNKzAw6evI2j56rwYL8UxPgwMxlJ6HLfffdh7969\nuHXrFvR6PdLT0z2e4bdlTJX4SNoHIRHdEUA89nKRy+Worq72hyxtipIyY2nObqn2828HGzqNislD\n0vC/H0qx77cb+MeEbsEWicSPrFixwun2DRs2BEgS/+Dti9uXmeLame5oE7S3a+ZS4Y8YMcK8ZkcQ\nBCQSCTnDd4Nik8JPiw6yJI4Z2D0Bh89U4kRxLUbmpiC9g38iCUiCT//+/YMtgn/x8sXtS1O5P+vQ\nk/iH9rb84FLh79y50/w3hUIBn893O16eIAi8/vrruHLlCphMJtavX4+UlBTz9gsXLmDTpk0AgNjY\nWPzrX/9qE+ZFvcGAknIhBJFsxDUr9RlKUCkUzByRic27zmH3r9ew/PE+Ibn8QNJyLB1iS0tLcfLk\nSdBoNAwaNAgZGRlBlMw3tK/XNgmJd7hU+IWFhU63T5482eE2V6l1V69ejffffx8pKSnYu3cvqqur\nkZqa6r70IUpZtRRKtQ4DusYHWxSXdO4UhdxsAc5erccfF2owtCdZ9rgt8/HHH2P37t0YOXIk9Ho9\nnnnmGTz99NOYOnVqsEVrERo/pcUlIWlLuFT4x44dw5kzZzBixAjQ6XQcP34cAoHA7G3vTOE7S61b\nVlaGyMhIfPLJJ7h27Rry8vLahLIHjFmlAKBbauia8y2ZPSoLl2414euj19ErMxZ8MkyvzfLVV19h\n3759Zivdc889h9mzZ7d6hU9CQuIalwq/qakJBw4cQExMDABAKpViwYIFbjn5OEqtS6VSIRQKcf78\neaxZswYpKSl4+umn0b17dwwYMKAFwwkNisuaQKVQ0KVTaMXfOyKaz8YjQ9Kx69dr+PLwVSyY1D3Y\nIpH4iYiICNDp9x77sLAwu8VwSEhI2h4uk+LX1tYiKuqepzmLxYJY7F6KR2epdSMjI9GxY0ekpaWB\nTqdjyJAhNsV1WiMShQY3qyXISOIjjM1wfUCIMDI3GRkd+DhdWofTpbXBFofET6SkpGDmzJn46KOP\n8PHHHyM/Px88Hg9bt261SbJlD0flcY8cOYJp06Zh1qxZ+Prrr/0hOgkJSQtxOcPPy8vD3Llz8dBD\nD4EgCBw8eNDtBBvOUuumpKRAoVCgoqICKSkpOHv2rFvpOEMlT7kjOS4U3gYBYFDPpIDI6ss+lub3\nwwv/7xi++OUq7u+ZhJgI9/M4h8J1CQUZgNCRwx5paWlIS0uDRqOBRqPBoEGD3D7WUXlcnU6HjRs3\nYt++fWCxWJg9ezZGjhyJ6OjWsaRFQtJecKnwV6xYgR9//BGFhYVgsVhYuHCh2y8JV6l1169fj1de\neQUA0Lt3b7eKbYRKnnJHcvx+zlh5LDPR/znVfZ23nQFgRl4Gdh66irc+PoUlj/YGzY3KiKGQPz4U\nZAg1OezhTkpsR5jK4y5dutTq9xs3bqBTp05mv4Dc3FwUFha6LIRFQkISWNxKvBMXF4esrCw88sgj\nuHDhgtuNu0qtO2DAgDZl/tPqDLhU1oS4SA4SY0I3HM8Zeb2TUFouxJkr9dj3202fFNchCR0+++wz\nfPDBB5BKjR8lBEGAQqGYa2Q4Y/To0aiqqrL5vbmvDpfLNbdPQkISOrhU+J999hkOHz6Muro6jB07\nFqtXr8a0adMwf/78QMjXqrhSIYRao0fP+2LdqucdilAoFMwb2wW362T48eRtJAt4GNgtIdhikfiI\nzz77DN9++y06dPBd+CWPx4NMJjP/Wy6Xg893L4mTr8t/Bou2Mg6AHEtbxqXC379/P/bs2YMZM2Yg\nMjISe/fuxfTp00mFb4dz1xoAAL0yY4IsScsIY9PxwtT7sH7nWXxysBTR4SzkdAzNFMEknpGRXfvB\n5gAAIABJREFUkeF2eWtHNE9jm5GRgfLyckgkErDZbBQWFrr9fghk6VR/4U4Z1tYCOZa2jUuFT6VS\nrbLfsVgs0Gg0vwrVGjEYCJy9Ug8eh4HsECuH6w0dYrl4bkp3vLOnCO99cwGLZ/VGWiKZere1M2fO\nHEyYMAE9e/a0eo49yaVvrzzuihUr8OSTT4IgCEyfPh1xcXE+l52EhKRluFT4/fv3x6ZNm6BUKnH4\n8GF89dVXuP/++wMhW6viWqUIErkGQ3t2cMvRrTXQNTUa/5jQFdu/K8b/++o8XpnZi1T6rZz169dj\nwoQJSEpK8up4R+Vx8/LykJeX5wsRSUhI/IRLhb906VLs2bMHOTk5+PbbbzFs2DC3a9i7yqVvYvXq\n1YiMjDR77LdGzlyuBwD069y2Zjb9u8RDqzPg44Ol2LzrHBY+0qPVZBAksYXJZLbIU5+EhKT14lLh\nP/XUU/j444/dVvKWuMqlDwC7d+/G1atXW3U1LwNB4MzVOnDZdOS0AXN+cwb1SASbScP274rx7p4i\nzHkoh8y530p54IEHsHHjRgwdOhQMxr3EUP369QuiVCQkJIHApcJXqVSoqalBYmKix407y6UPAOfO\nncPFixcxa9Ys3Lx50+P2Q4VrFSKIZRoMuS8RdFrbMOc3JzcnDotmMrB130V8+uNlVNXLMWNERptZ\nvmgvlJSUAACKi4vNv1EoFOzYsSNYIgUMOpUKncEQbDFISIKGQ4V/8OBBPPzww6irq8Pw4cMRGxsL\nFotljtv99ddfXTbuLJd+fX09tm7dim3btuHgwYO+GU2Q+OvSHQDA/W08fC2nYxRWze2Lf++9gF/O\nVKC6QYYFk7tDEGzBSNzGstx1eyM3R4BTZNpodIjhorpR7npHkjaHQ4X/3nvv4cEHH4RYLMaRI0fM\nit4TnOXS/+mnnyASifCPf/wD9fX1UKvVSE9Pd1p9DwidtKUmOdRaPc5cqUdsJAeD+6SASg1s/H2g\nz4dAEI53X8nDvz4/izOltdj4xTmsfmoAOoTAdQm1eyMUOXPmDP73v/9BoVCAIAgYDAZUV1fjyJEj\nwRbN74RiboxAKd+MDhG4UW2sgcLnMkGnUXG7jkyO1N5wqPB79+6NHj16gCAIjBw50vy7J5m5nOXS\nnzNnjrkIx/79+1FWVuZS2QOhl1r3VEktlGodRvRJQmOjzMWR/pMj0CyY0BV7+Sz8dOo2Fv/7dzw/\ntQcykyKCIgsQWiltQ0UOe6xcuRL/+Mc/sH//fsyZMwe//fYbunbtGmDpjPTMEuD3v2+7vT+dSkVC\ndBgqGwL7nPkTNpOG7ORIXK0U2d0exqJDoda1uJ+YCLZZ4VMoFHSI5aKyXgZDs5wKjgjEhwmLToNa\np/drH95Co1Kh92I5iMOkQ6lp+fXzFQ4XYDds2IDS0lIMHz4cpaWl5v8uX77slrIHjKk4mUwmZs2a\nhY0bN2LFihUoKChoU+l0Teb8B7q3bXN+c6hUCmYMz8S8sZ0hV2mxZdc5nL+beIgkdGGz2Zg6dSr6\n9+8PPp+PdevWobCwMCiyRIazrP6dGO26TG9yHM/8N4vh23wgKQKey316ZwnQuWMUkmJ56GKRjIpJ\nt5WFYZHnYECXePPfHKb1PCs8zH5VzbQEPlJ9FAZLtbBuuGOE7NIxyjymcA4THeOdW60EkS3PaOfe\np4drmp9fb8hKikRsBAfJsTwM6BJvN/qK56IaahSPhVg3zks4h+l0e+9M3y2aujwz//nPf7xu3FUu\nfRNTpkzxuo9g0ihW4VJZI9IS+UiMaZ81xYf27ICOHSKwcUchtu67iPnju5CpeEMYFosFkUiEtLQ0\nFBUVYeDAgVAoFC6PcxVi++mnn2Lv3r3mCnlvvPEGUlNTPZItMpyFmibHs8jmCoECW83F4zDAoFEh\nlKmtfs9KMkbPJMfy7FoIYiM46BDLRU2jAgw61WpWFsFlQSw3tsegU8FisBDJs/5Yab6Ux2iWnMxy\nOSGnYyTOXzd+HFMpFDDoNPTJEuDva/XWYwljQG+wHjWPwwBBAHKV1vxbYjTX6XlrDodlfO0z6TSo\ntLazzw4xXETwWOAwadDo9LBzmu0iiOCgUaJy22oAGJWm7O5YLA/rGBfu9ZJDdkokim60bPIRE8FG\nTATbut3kSFAoFFypEAIwXh+ZxXVoTnoHPmg0KipcjCMxJgzSSo3D7Sym7z5sSRfrFnC8qAoEAQzv\n7V0Sk7ZCv64JWDyrN1hMGv7v+xIcO29bYIUkNJg3bx5efvllDB8+HN9++y3GjRuH7t27uzzOMsR2\n0aJFNpn5iouLsXnzZuzYsQM7duxwW9nHR90rMhUexnC6LOSO3unsIAW06eVNp9975aXEWRT8YdNB\noVDQKysWPTJi0DtLYHcG11yGzA4RuC8rFlF3PwDSE/m4v2sCcnPuzcrCWNbzKrbFDDT6rlxMBg1d\nLfJb9EiPAZfNsJqZA0D3tBibMcZFeTa7NkUS5XSMRGI0F93TYsz99MoWmGfz8dHGa5Nw9xq5sqhk\nJEUgo4Nny3qdEmwtB9S7Sw59smxntj3SY9C/Szxi+GybbSY4LDrS/ZAgLJrPRpSFVYpx9zyy7Fh3\nAIBBp4FKoZjPbfNraSKQviUtt320U3R6A347Xw0um47+XdpWsh1vyEyKwLJHe2PL7vPY8dMV6PUE\nRuYmB1sskmaMHTsWY8aMAYVCwb59+1BeXo6cnByXx7kKsS0uLsb27dtRX1+PvLw8/POf/3RLnrRE\nPmqF9ywM3GZKlstmmGezqXeVQ8+MWGh1BgilatQ06SCI5KBepEQklwU6jXpXoaoRG8FBakI4LN+n\ncVEcaLR6CCI54LDoEESwUS9SmpWbSRmyGDSrF3FutgBana3jcmwkB1HhbHSM5yE2km2j3AEgPMzW\nZBsdzgaHRbdSAvwwJgQRHESFs8zngcumIzaCgwax0mz6ZdAdz9O6pkaDw6Sjok6GepEShIVdJCcl\nyqoOAodFNyvcvjlxUGp0iOCxUK80zjaj+Wz07xJvlrFLpyg0iFWorPedDwWFQsF96bHQGQy4VmH0\nYzAtDzAZNLN1JTqcjWQBF2F3z0uygAepQoukWC7K7kjutXf3kywuKgydM7g4+McNAEYLzx2hAlKF\n45m0iexk93KpxEeHwUAAsRFspxaFHukxkMg1aJKqzZYiS3gc23smPirM6rnwFaTC95KzV+ohUWjx\nYL8UMH28ltha6RgfjmWP9sa/dp/HF79chVZnwJgBHYMtFokFFy5cwNmzZ/HYY49h4cKFKCkpwdq1\na13WrncWYgsA48aNw2OPPQYej4fnnnsOx48fx7Bhw9ySqXtaDFRqnc0MKDdbABqNitN3Q+lM66Ec\nFh0cltGkGs1ngcdhICE6zLx2mxLHA5tJQ0wE2yYvBpVCsVqPZjJoSHKwdp8s4KL0tgZJsVww6DQw\nnLwtKRSKzcdK80UIS6e07BT7SiWjmYWDQqEgMynCqeWDRrX+aACM5uSO8TxcKmsy+yZENfOZsIRK\ntSe/9ayUzaQjWcBzqvAJFyvxPTNibZRjGNt4Yu2tBKR34KOyToaUOJ7Ve5bDoqNPtgBKC4fG7ORI\n8Dj3xkCzuPY8DgOZYREout6A1EQ+bt51YLRHtBPrgSU0KgUpcbb3Tv/O8VbnwXi/0tEkNSp7Jp2G\njA58NErUSE0IB5VKQd+cOIhkalyvMsqVlshHBJdp92OxJfhV4bta9ysoKMCOHTtAp9ORnZ2N119/\n3Z/i+AyCIPDz6duggDTnNydJwDMq/V3nsOfodWj1Bowf2CkkQ6LaI+vWrcPixYvx888/g8ViYf/+\n/Vi4cKFLhe8sxBYA5s6dCx7P+PIbNmwYSkpK3FL4AkG4VR4HuVILfp2xnw6JRqWYo9KDQad6FO4Y\nH99yk65AEI7MNPcqC9qTjV8jhVZnQFRUGASCcIyO5cFAWCtob+GHGxVDv67xCGMzwOayEMZmmNfn\nTSQmeB454+o8m/q2pGOHSAgEPBhoNPAlxll0QkwYsjtG4eptIe40GmerHZOjUFZ37z6KieGBzzUq\nNX6NFDqdAdFRXCsZkjs4nnGrNDrz/ZKTYbsEMKxvJ0jkaiTfXb4xtdUgtZ7pd0rko7xG4tb4O6fr\nIJZpEBd37x4znZPYSI7De69GrAJBpYLPZSIzLRaZzbYnAqi7e+4EgnC/hPf6VeE7S62rVqvx3nvv\noaCgAEwmE4sWLcLRo0cxfPhwf4rkE85drcetO1Lk5gjMpkCSeyTGcLH8sT74165z2P/bTciVWswY\nkelwDYskcBgMBvTv3x+LFi3CQw89hMTEROj1rkOhnIXYymQyjB8/Hj/++CPYbDZOnjyJadOmuSVP\n8xBGg4GARKpEfFSYeVvUXZNnKIQ72sNRKKZEooRWbwCHTkE927evWlPZV7lUBblUBQCQaXRoqbHd\nnbBSU98pceHQ6w2I4LFAJwyor5dCJFGZt3dNiUBDgwzRYQwwKWFg0Kmor5dalaxtbJRBrTDOyhUy\nNVRaHcJZNNTXu281jQ1ngsem28gtEIRDrVCDRbG9d0wy9MyIBYtBA5VKQWIkGywGzeX4I9l0RDbr\nz9ReQgTL4fEikRISuRqETu9wH1M79sbiC/yq8J2t+zGZTOzevdtcelen04HFcmxyCiX2HL4KABg/\nMDW4goQwcVFhWPF4Lt7+6jwOFVZAKFXjyXFdfB5KReIZHA4HH3/8MU6dOoXVq1fjs88+A5frOsJk\n9OjR+PPPP801NTZs2GBVHveVV17BnDlzwGKxMHDgQAwdOtQr+ahUCgZ0iW8TFqGEGC4q6qSIdmJK\n95ZO8eHQ6X0VyOYdSbG2901UOAuJ0VzERlqbxS1N7V1To1Fyq8nm2JyOkahulCMxxrNJVFwLQgIt\nLSLOljxcEcZiQKHWgu1Dj3p/4FeF72zdj0KhmEN4du7cCaVSiQceeMCf4viEy+VCFN9sRI/0GLse\npiT3iOazseLxXLz3zQUUXq5DrVCBBZO6I4G0igSNLVu24Ouvv8Z7772HiIgI1NXV4e2333Z5nKsQ\n24kTJ2LixIk+kbEtKHvAqBDjozh+qa8RzDBgNoMOR5eIQqG4fC/yw5jISYlCk0QFroXlg8Oie+zl\n7y09M2IdjsEbuqZGQanWmZ0K7REXyYFYrka8h1EVvoRCEB4ETXrIxo0b0atXL4wZMwaAsWb2sWPH\nzNsJgsDmzZtRXl6Od9991zzbD1X0BgIvv3MMZdUSvP3iUGQ7CAEisUarM2D7/gv4+WQ5mHQqHhvT\nGeMHp5POjiQha6b3hFDJrugL3BmLN2nWg0EoXheDgXCafr38jhRMBtXmg65VmPSdrfsBwKpVq8Bm\ns21K5jojmBfw6LkqlFVLMKJvCqI4tmtGgSZUbmh35JiZl4H0hHDs/PkKPikowbfHb2B03xQM7BaP\nCF7LTZ6t6VwESg4SEn/QGpR9qOKq1oq/rcZ+VfjO1v26deuGffv2ITc3F3PmzAGFQkF+fj5GjRrl\nT5G8RihVY9/xG2AxaZg7riv0ascZlkjs069zHDp3jMSPp27jyNlK7Dl6HV8fu470RD46d4pCeiIf\nnRLCERXOIl8qJCQkJD7Grwrf1bqfqTZ3qGMwEPjv98WQq3R4bHQ2ovls1NeTCt8bwsOYmDE8Ew/f\n3wmnSmpxqrQWN6skuFF9L3lGGIuOZAEXyXE8dIwPR1oiH0mx3IBXIiQhISFpS5CJd9zg2z/KcPm2\nCL2zYjGiDxl37wt4HAZG5iZjZG4yFCodblaLUVYjQUWdDBX1clyrEuNq5b14Xw7LWFWsa1o0embE\nIC6KdPwjISEh8QRS4bvgl8IKFPx1C7ERbDzxcBfS1OwHwth0dE+PQff0GPNvGq0eVQ1ylN+R4ma1\nBNcqRSi60YiiG43YdfgaOsRy0TdHgH6d4xxmSiMhISEhuQep8B1AEAQOnizHN8dvIoLHxOJZvaxi\nSUn8C5NBQ1oiH2mJfOTdzWbYJFHh4s1GFF1vxKWyJnz35y189+ctJAu4GNm/E3p0inQ7LSYJCQlJ\neyOoqXWPHDmCbdu2gU6nY+rUqZg+fbo/xXEbiVyDnYeu4OyVekSFs/DKjJ6kCTkEiOazMaxXEob1\nSoJSrcOFG404XVqLizcb8dkPJaAA6NwpCoN6JKBPtsCqKhlJy2itzzIJCck9gpZaV6fTYePGjdi3\nbx9YLBZmz56NkSNHmpPxBIvz1xvwv4ISyFU6ZCdH4JkpPRDBDe38AO0RDouOAV3jMaBrPOQqLS5X\nSvDzyVsoLReitFwIJuMKemXGom9OHLqlRdvkGCfxjNb4LJOQkFgTtNS6N27cQKdOncwFN3Jzc1FY\nWOiyiIe/OXulDnoDgdmjsjCiTxJoVN9nySLxLVw2A2MGpiI3Mwa1QgVOXLqDk8W1OF1ah9OldaBR\nKUjrwEdmhwh0iOUiLoqD8DBjoRE6jQqCIKDTE9Dq9NBoDVBr9dDqDNAZDCAIgEIB6FQqmAwa2Ewa\nwth0hLHo7SpxUGt8lklISKwJWmrd5tu4XC6k0uAnLJk7pjPyH+rstOY0SegSHxWGyUPSMWlwGspr\npTh/rQEXbjTiZpUE1ysdl8T0BjqNCi6bjjA2Hdy7lcqi+GyAIMBi0MBkUMGkU0GnUUGjUkChUkCl\nUMwpPQnCaCo3GAjoDQS0egO0unv/aXR3Pzz0xn0AYy30KUPTA56euDU+yyQkJNb4VeE7K6nJ4/Eg\nk92r7SSXy8Hnuy5pGSoZxEg5rAkFOZrLEBfHR78eZBilL/DHswyExn3jC9rKOAByLG0Zv05j+/Tp\ng+PHjwOATWrdjIwMlJeXQyKRQKPRoLCwEL169fKnOCQkJF5CPsskJK0fvxbPsfTsBYypdYuLi80l\nNY8dO4atW7eCIAhMmzYNs2fP9pcoJCQkLYB8lklIWj9+VfgkJCQkJCQkoQHpmUZCQkJCQtIOIBU+\nCQkJCQlJO4BU+O2MS5cu4cUXXwy2GCQkJCQkAYZcwychISEhIWkHhGS+0VDI2+1Khk8//RR79+41\npw994403kJqa6nM5TBQVFWHLli3YuXOn1e/OzoVCocCKFStw+/ZtUCgUdOvWDePGjcP69evx/fff\no6mpCa+++ioqKioQGRmJmJgYZGdnY+HChbjvvvswb948HD16FHK5HEuWLMFPP/2EixcvQiqV4vff\nfwebzcbevXuxZ88e1NbWoqGhAcnJyYiPj3d6Pg4dOoQPP/wQVCoVNBoNS5YsQd++fXHt2jWsWrUK\nSqUSGRkZqKqqwuLFi9GvXz/zsTqdDq+++iqqqqqg1WqxYMECjBgxwq3z4UtcyRGo+8NgMGDlypUo\nKysDlUrF2rVrkZmZad4eajnuXT1XocojjzxiziSYnJyMBQsWYPny5aBSqcjKysKaNWsAAHv27MFX\nX30FBoOBBQsWIC8vL4hSW2P5Drl9+7bb8qvVaixZsgSNjY3g8XjYuHEjoqKiQmYspaWlePrpp83P\n1+zZszF27NiQH4u9d0hmZqZ/rwsRghw6dIhYvnw5QRAEcf78eeKZZ54xb9NqtcTo0aMJqVRKaDQa\nYurUqURjY2NAZSAIgli8eDFRXFzs837t8d///pcYP348MXPmTKvfXZ2Lb7/9lnjqqacIgiAIvV5P\nrFq1itizZw8xfvx4giAI4uWXXya2bNlCEARB1NXVEYMHDybef/99giAIIicnh/j8888JgiCIjz76\niMjNzSXeeecdYty4cUTPnj2JgoICQi6XEzNnziREIhGxePFiYv/+/UTv3r1djmfUqFFEUVERQRAE\n8eeffxIffPABQRAEMWHCBOKbb74hCIIgCgsLiS5duhCnT5+2Ovabb74h3nrrLYIgCEIkEhF5eXlu\nnw9f4kwOggjc/fHLL78Qr776KkEQBHHq1KmgPCue4Oq5CkXUajUxZcoUq98WLFhAFBYWEgRBEKtX\nryZ++eUXor6+nhg/fjyh1WoJqVRKjB8/ntBoNMEQ2Ybm7xBP5P/kk0/M74UffviBWLduXdDGQRC2\nY9mzZw/xySefWO3TGsZi+Q4Ri8VEXl6e369LSK7hu5u3m8FgmPN2B1IGACguLsb27dvx6KOP4qOP\nPvJ5/5Z06tQJH3zwgc3vrs5Fbm4url+/jjlz5uCjjz5Cfn4+OnXqZN7+22+/YcaMGQAAgUBgk/t8\n9OjRAICOHTsiOzsb3bp1w7Zt28BisSASiRAWFoYPP/wQR48exe+//44tW7ZALpe7PB/jxo3Ds88+\ni5UrV0IkEuGpp56CUCjEjRs3MGnSJABA3759kZOTY3Ps2LFjzT4IBoMBdPo9I1Wg7g1XcgCBuz9G\njRqFN998EwBQVVWFiIgI87ZAng93cfVchSKXL1+GQqHA/PnzMW/ePBQVFaGkpAR9+/YFAAwdOhR/\n/fUXLly4gNzcXNDpdPB4PKSmpprzFgSb5u+Q4uJit+S/fPkyzp49i6FDh5r3PXHiRFDGYMLeWI4d\nO4bHH38cK1euhFwubxVjsXyH6PV60Gg0t+8rb8cSkgrfUd5ue9v8lbfbmQyAUWmtXbsWO3bswNmz\nZ81ZyPzB6NGjQaPZFmpxdS6Sk5Nx6NAhLFiwAHK5HPPmzYNQKDRvb95m838zmfeqBNLpdBs5amtr\nMXnyZNTU1GDYsGF45513QKVSXZ6Pl156Cbt370aPHj2wf/9+zJw5EwwGAxQKBYSFS0lzJQoAHA4H\nYWFhkMlkePHFF/Hyyy+7fT58iTM5gMDeH1QqFcuXL8f69esxYcIE8++hmOPe1XMVirDZbMyfPx//\n+9//8Prrr2Px4sVW9ymXy4VMJoNcLrcaW1hYWNDPt4nmz6678pt+Ny1nmPYNJs3H0rNnTyxduhSf\nf/45UlJSsHXrVpv7LBTHYu8d4u/rEpIK3195u30lAwDMnTsXkZGRoNPpGDZsGEpKSnwugzsyOjsX\nu3btwvLlyzFo0CAsWrQIQ4YMweeff27ePnz4cOzduxcAIBQK8csvv4BiquziBhcvXkR0dDSeeeYZ\nrFq1CmfOnAFg/Np0dD70ej1GjBgBhUKBmTNnYs2aNbh58yZYLBb69OmDr776CoBxVlVaWmq3jZqa\nGsydOxdTpkzBww8/7Pb58DWO5AACf39s3LgRP//8M1auXAmVSgUg8OfDHVw9V6FIamoqJk6caP47\nMjISjY2N5u2m8xqK59sRlufclfyW16y58gkFRo0aha5du5r/vnz5MsLDw1vFWCzfIePGjfP7dQnJ\nJy0U8nY7k0Emk2H8+PFQKpUgCAInT55Et27dfC5Dc4hmARWuzsXkyZNBEAQefvhhTJs2DXK5HHPn\nzjVvX758OW7cuIGJEyfixRdfRFJSEjgcDgC4pfiHDBmC+Ph4PPjggxgwYACqqqoQHR2NI0eOODwf\nNBoNr732GhYtWoRHHnkEL730EjZs2AAGg4HNmzfj6NGjmDx5Mt5//33ExcXZHN/Q0ID58+djyZIl\nmDJlikfnw5c4kyOQ98eBAwfMSwYsFgtUKtX80gjFHPfOnqtQ5ZtvvsHGjRsBGK1aMpkMgwYNwunT\npwEYl8Zyc3PRo0cPnD17FhqNBlKpFDdv3kRWVlYwRXdI165dzcs7ruTv3bu3+ZodP37cbHIOFebP\nn4+LFy8CAE6cOIFu3bq1irHYe4d06dLFr9clIGF59jyJmUymXW9EIDTydruS4bvvvsOOHTvAYrEw\ncOBALFy40OcyWFJVVYVFixZh9+7dKCgo8Mm5+PLLL9GtWzf07NkTGo0Gjz32GF544QXzGqsncvjj\nfEyYMAGrV6+28tJfv349fvzxR6Snp4MgCFAoFMyYMSPgOd1dyRGo+0OpVGLFihVoaGiATqfDP//5\nTygUCq/PB+HCi76goAA7duwAnU5HdnY2Xn/9dY887+09V2lpab47IX5Aq9VixYoVqK6uBpVKxZIl\nSxAZGYmVK1dCq9UiIyMD69atA4VCwddff42vvvoKBEHgmWeewahRo4ItvhnLZ/fWrVtYtWqVW/Kr\nVCosW7YM9fX1YDKZePvttxETExMyYykpKcGbb74JBoMBgUCAN954A1wuN+THYu8d8tprr2HdunV+\nuy4BUfiHDx/G0aNHsX79epw+fRqffvopCILA/Pnz0bdvX6xZswZDhgwJqYejPXD69Gls2rQJBoMB\nOp0OY8aMwXPPPdfidk+dOoUNGzZYWQlMN/SAAQOwfPlyt9qxp/BJ/Msvv/yCI0eOYMOGDSgqKsL2\n7duxbds2AIBarcaECRNQUFAAJpOJRYsWYfz48dDpdA6PISEhCR0CEoc/atQoc4xydXU1IiIi8Ndf\nf9l4I5IKP7D0798f33zzjc/bHTBgAL799tsWt/P999/7QBoST3DmRc9kMrF7926zM6dOpwOLxcKp\nU6danec9CUl7JGBr+CZP4nXr1mH8+PE23oih4s1KQtKeceZFT6FQzImEdu7cCaVSiQceeKBVet6T\nkLRHApppb+PGjWhsbMS0adOgVqvNv4eyNysJSXvClRc9QRDYvHkzysvLsXXrVreOISEhCQ0C8lTa\n8yTu3r27jZerKwLgbkBC0q5x5UVvcvTatm2b2bTvrec9+TyTkASWgDjtNfckfvrpp5Genm7Xy9UV\n9fWBNf0LBOFkn2SfrbJPb3AWndKtWzdMmzbN/HFOoVCQn5+PkSNHeu15H+jz4g+CcX39BTmW0MTb\n57k5ra5aXnt5WZN9kn22tM/WQFt4Ibc1xUKOJfTw1fNMLrSRkJCQkJC0A0iFT0JCQkJC0g4gFT4J\nCQkJCUk7gFT4JCQkJCTtiiaJCkKp2vWObqJQ6VDdIHe9Y5AJaBw+iS06vQFXKkQoq5YgksdCx3he\nq3G4IiEhIWmNXK0UAQDu75rgk/Yu3GwAAPA4DPC5TBd7O6ZJogKNRkVEC9pwBqnwg4SBIHD8XBX2\n/XYTcpXOatu4QWmYcH9HMBk0B0eTkPgHdwrhKJVKPPnkk3jrrbeQlpYGnU6HZcuWoar5BvhcAAAg\nAElEQVSqCnQ6HW+++WbIF8QhIfEHOr3jDJMKlQ7Xq8TITOIjjM2wu4+vP0SaQ5r0g4BIpsamL/7G\nzkNXYSCAkbnJWPhID8wdk4MOsVz88GcZNnzxN9RafbBFJWlnHD58GBqNBrt378aiRYuwYcMGq+2X\nLl3C448/joqKCvNvx48fh8FgwO7du/Hss8/inXfeCbTYJCQhT3mtFAq1FmU1wQsVDMgMX6fT4dVX\nX0VVVRW0Wi0WLFiAxMREPP3000hNTQUAzJ49G2PHjg2EOEGlqkGOd/ecR6NEjdwcAR4bnY1IHsu8\nfWC3BOw6cgPHz1Xiq1+vIX9M5yBKS9LecFY8B4A5y96SJUvMv6WmpkKv14MgCEilUjAY9mcvJCT+\noE6oAItBQ4TFe5TEPgFR+N999x2ioqKwefNmiMViTJ48Gc899xyefPJJzJs3LxAihATVDXJs/Pws\n5CodpgxNx/iBnWyyCzIZNLwwsxduVIpw7Hw1uqRGo1/nuCBJTNLecFQIx5Qbv3fv3gBgU/yqsrIS\nY8aMgUgkwvbt2wMrNEm75maNBID/zOBtiYAo/LFjx2LMmDEAjIU16HQ6iouLcfPmTRw+fBidOnXC\na6+9hrCwsECIExSaJCr8vz3nIVfpMHdMDob1SnK4L5NBwzOTu2Htp4X48peruC8jBixyPZ8kAHhT\nCOfTTz/FkCFD8PLLL6O2thb5+fn4/vvvzbn2ndFWHFTbyjiA1jcWfrgYgH25HY3F2TEtkSE6mgdB\nFAcAoFBpIZZpkBjLBQDUiFUgqFTwucyAydWcgCh8Dsd4AmQyGV588UW89NJL0Gg0mD59Orp27YoP\nP/wQ77//PpYtWxYIcQKOVqfHe3svoEmixtRh6U6VvYnEGC4e7JeCgr/KcexcFR7q3zEAkpK0JSor\nK3H9+nUMGTIE1dXVNs539ujTpw+OHj2KMWPGuF0Ih8/nm8344eHh0Ol0bpfHbQupT9taCtfWNhaJ\nVAnA9l5yNhZHx7RUhqYmGaAzOmGfLLkDALgvPQZhbAZEIiUkcjUInd5juVpdat2amhrMnTsXU6ZM\nwbhx4zBq1Ch07doVADB69Ghcvnw5UKIEnK+OXMftOhmG9kzEw/d3cvu4B/t1BIdFw8GT5VBrSAc+\nEvc5ePAgnnnmGaxbtw4ikQizZs3CgQMHXB43evRoMJlMzJo1Cxs3bsSKFStQUFCAr7/+2mo/y6Wo\nefPmobi4GI899hieeOIJLFq0CGw22+djIgltlGqdT2PbQxVPnal1+tApVxOQGX5DQwPmz5+P1atX\n4/777wcAzJ8/H6tWrUKPHj1w4sQJdOvWza22gmFuakmfJy/V4MjfVeiUEI4XZue6bZoXCMIhADB5\nWCZ2HbqCU1fqMXVEltdyuNtnoCH79A///e9/sWvXLjz++OOIiYnB/v378cQTT2DSpElOj6NQKFi7\ndq3Vb/ZC7Hbs2GH+OywsDO+++65vBCdptRTdMMai982JA53WNgPAapsUKLsjQVoiH/FRrW8JOiAK\nf/v27ZBIJNi2bRs++OADUCgUrFixAm+99RYYDAYEAgHeeOMNt9pqTZXOlGodtn59HnQaFU+N6wKJ\nSOFxn4O6xmHfsev47vcbGNQtDjQX66ne0p6qyLWHPqlUKng8nvnfcXFxLtfiSUh8gcFAAG3U5ahB\nogIANIlVbiv80JnfB0jhv/baa3jttddsft+1a1cgug8a+3+/CbFMg8lD0pAk4Lk+wA5hbAYe6JaA\no+eqcOF6I3pnC3wsJUlbJCsrC59//jl0Oh1KS0vx5ZdfonNnMsSThMSfhHqxefKT30/crpXi17OV\niI/iYOyAljncDe9tdPI78nelL0QjaQesXr0atbW1YLFYePXVV8Hj8bBmzZpgi0VC0u4hgjjnJ1Pr\n+omvj90AQQCPjc4Gg94y+1ZyHA/ZyREoviXEnSYFEqJb39oRSWAJCwvDokWLsGjRomCLQkJCAoDi\nehe/Qyp8P3C5XIjisiZ0TY1C9/QYn7Q5IjcZVyvFOH6+CjP97LxH0vrp3LmzTVIngUCA3377LUgS\n2Uer06NepEJCdBio1FB4JZKQuMajOXoI2flJhe9jCILAN8dvAACmDsvwWbu9swTgcRj469IdTB2W\n0Wa9YEl8g2WYq1arxeHDh3H+/HmXx3lTPAcAPvroIxw5cgRarRaPPvoopk6d6pac1yvFECs0MBAE\nkr30cyFpHRgIAlRK6/6oa93Se7iGf+HCBX/J0Wa4cKMRN6ol6JMtQFoi32ftMuhUPNA9AVKFFuev\nNfisXZK2D4PBwNixY3Hy5EmX+3pTPOf06dM4d+4cdu/ejZ07d6KmpsZt2ZR380totO4l6iFpvZwu\nrUVxWVOwxWjXeDTD37JlC4RCISZNmoRJkyZBICA9xi0hCAIFJ24BACYN9n150CH3JeJQYQV+v1CD\nvmR+fRInfPvtt+a/CYLAtWvX3Cpq403xnD/++APZ2dl49tlnIZfLsXTpUh+NgqStIVVqgi2CXwmm\nQ547eKTwd+zYgaqqKhw4cADz589HYmIipkyZgpEjR5IVsgBcrRDhRpUEvTJjkRLne/NkkoCH9A58\nXCprRJNEhWg+mc2MxD6nTp2y+ndUVJRbZWu9KZ4jFApRXV2N7du3o6KiAs888wx++uknXwyDhMQp\nCpU22CK0Kjxew09KSsLkyZNBp9Oxe/du7NixA++88w4WL16M0aNH2z3GXnnczMxMLF++HFQqFVlZ\nWW0iZKjgRDkAYNxA99PnesrQnh1ws1qC3y/U+MWKQNI2aG6KdxdviudERkYiIyMDdDodaWlpYLFY\naGpqQnR0tMv++HwONFo9IiM5ra5oiyWtWfbmeDsWU+GXWEG4TUZRgiDAD+e0qP3maLR6lFyscdqu\nr4vURApVAI2GSB7L6lhTezHRPAjuRlGZf4vhIYrPxh2xGgYqFeGtpXjOnj178N1336G+vh6TJ0/G\nl19+iYSEBNTW1mLKlCkOFb5leVyJRIJJkyahc+fOeOWVV9C3b1+sWbMGhw8fxqhRo3wyqGBQfkeK\n4rImdO4YiYykCL/1079LHHb/eg2/FVVj/AOd/JZ5j6R1Mn36RAAU0Gj23Yt+/fVXp8d7UzwnNzcX\nO3fuxLx581BbWwuVSoWoqCi35JVKlFDr9GDRgPqw1mkl9CaTIkEQuHxbhKhwVkiF2bYkK6Sp8EtD\nvRRMOwrf1wVrFCqtuU177fqjeI5IrIBEoQH01gVwTO01NslA0eutf2uUQafWQiRSQCJXw6DVuS3X\n1QoRuGw6enVN9EhOR3ik8M+cOYMXXngB/fv3t/o9Pj7e6QzdsjyuXq8HjUZDSUkJ+vbtCwAYOnQo\n/vrrr1at8A8V3gYAjBngv9k9ALCZdAzsnoCjf1fhwo1G9M4i/ShI7vH++8Za9NHRXK+OHz16NP78\n80/MmjULgNFSUFBQAKVSienTp5v3swz5y8vLw5kzZzBt2jQQBIE1a9bYhASSWKPVGSCWqyGWq0NK\n4fuL0F7Z9i8tGXuTVIUmKdDLR7J4pPAXLVqEHTt2oH///qioqMD777+PpUuXIjY2Fg899JDD45qX\nx3355ZexadMm83YulwuptHWVZLSkSaLC6dI6dIjloke6azNmS8nrlYSjf1fh+PlqUuGTWJGQYJwJ\nRESwcPz4cbN5Xq/Xo7KyEi+++KLT470pngMAixcvbonYJG0Ug4FwO7+CUq3DnSYFUuJ4boUdN4Vi\nZb4Q/7LxyB68ePFic0xufHw8+vbt67ZHbvPyuJbrgnK5HHy+70LYAs2vZyuhNxB4sF9KQGY2KXE8\nZHTg4+KNRtQJ3SvIQ9K+WLhwodm/5vfff8e///1v3LhxI9hikbQjtDo9Tl+uxY0qsVuK8GqFCLVC\nBWoaFVZOofYQydSorJe5IYPBpmRvlRvHtVU8muGb6moDAJPJxIwZM9wqgGOvPG6XLl1QWFiIfv36\n4bfffjP/7opQK22qVOvwW1E1InksTBiWabN25Y8+AWDK8Cxs+eIsfrt4B89M7RmQPv0B2ad/KCsr\nw6FDh7B+/XpMnToVS5cudTm7JyHxJQqVDgBQL1a6lZNEqzPmYqhqkKGmUY7+XeId7qvWuFeTvuRW\nE5QaHbp2igafywQAVFgo/LIaCRKiw8BhtY8cdB6NksPh4Pjx4xg2bBgA4MSJE2ZzvTPslcd97bXX\nsG7dOmi1WmRkZJjX+F0RaqVNfz1bCblKh0mDUyB2s/xtS/sEgJykcMRGsPHL6dt4MDfZfDP7s09f\nQ/bpP2JiYkChUJCWloYrV65g8uTJ0GhCOAY6xE2hJC3Dnfh0neFe8iWDixm+O7N7AFBqjB8dau29\nDwQKKGZ5aoUKiKRqj6uQenK7moYSCm4tHin8tWvXYsmSJWYzfmJiIjZv3uzyOEflcXfu3OlJ9yGH\ngSBw+Gwl6DQK8u5WtAsUNCoVD/XviC9+uYrDZyvxyND0gPZPEtpkZWXhzTffxOzZs7F48WLU1dVB\nqw3BmOUQeAn6ErlKi4s3G5GZFIHYCMeToVB4+QcSX6eT1+p9l5nRk7Za+2XzSOF36dIFBQUFEAqF\nYDAY4PHad+7rSzebUNukwKDuCYho4QzbGwbfl4gDf5ThyNlKPNgvBTxO6wxrIvE9r7/+Os6dO4fM\nzEw8//zzOHHiBN5+++1gi9XmqRMaw6rK78icKvx2QQh91bRGA5IrPwZv8Mhpr6SkBC+88AJeeukl\nPPvss8jPz0d+fr7PhWotHD5jzCc+qm+Kiz39A4tBw8P3d4JCrcN3f5YFRQaS0OT5559HQ0MDNBoN\nRo4ciZUrV7oVU28Kq5s1axby8/OtcuabUCqVmD17NsrKrO+5xsZG5OXl2fxOQhJK+PM7xB0VLVNp\nYTAE5xPEoxn+smXLMHPmTGRlZbX7ONuaRjkulTUhOzkCnRKCl2VrZG4yjp2rwtG/qzC8dxISY7yL\nvyZpW8yYMQMFBQV46623MGTIEEycOBEDBgxweZxl8ZyioiJs2LAB27ZtM2+/dOkS1qxZg9raWqvj\ndDod1qxZAzbbu3TP9WIlEmO4CGP7znlKodLi1h0pMjpEgMX0jTOtP2mSqCCWaxw6uDWIlRBK1chM\nigi596+rNfcQqhDrEJ3eYDccUKc34HqlGB1iffduLa+V+rS4mrt4NMNns9l4/PHHMWDAAPTv39/8\nX3vkyNkqAMDIIM3uTTDoVEwfngG9gcCuw9f8YgYiaX3k5eVhy5YtOHToEIYMGYJNmzZh+PDhLo9z\nt3hOerq1z8imTZswe/ZsxMV5X9Sp5JZvK6ldr5JAotDgdl3ryPFxtdIYlmbpYGbJ9SoxGiUqqNz0\nUPcnBEFYKfnTpbVO9g4BXLwXFSotzlypQ/kd23ulQayCSK5GSbnv7k+ZMjj+NB4p/MGDB2Pnzp0o\nKytDdXW1+b/2hlKtwx+XahAVzkLvrNhgi4M+2QJ0S43CpbImHD/f/q4HiX2uX7+O7du349///jci\nIyPdCstzVDzHRO/evREfH2/1Yblv3z7ExMRg0KBBHn9wUizcoCy9tH2DUZZW9w1sR94b1eLAy9EM\ntUaPqnoZDASBizebPFTynl8End6AS2WNNnH03lJyqwnXq+yfR7HcGMFS0yS32ebJPe3LW03vB7O/\nR/azAwcOAAA++eQT828UCsVlfu62xh8Xa6DW6DHu/k5uZYTyNxQKBU883AWr/3cau49cQ5dOUYhv\nB+k6SRwzYcIE0Gg0TJo0CZ999pnbM29viufs27cPFAoFf/75Jy5fvoxly5bhP//5D2JiYlz2FxHB\nAVOtM//bl/kKIhoUoCu1PinM0yBSokGkRFIcD01iFTo1M8ea2hcqdVDqCDAZVKd9arR68GtkVsea\ni63E8iCRayBVaJCZHAmZUgu1XmwuEhMby0MY238OumKVHrwwBhKaLQ+eLr4DpVqPeCoNdCYdfCbd\nRnbgXvEcBlsNfpPyrszhNuNtjmUbAGCg0UCl01EjUiE7Pdbpvo7aNZ2z6GgeGmRaaAwAj2e97ESl\nUBAVxYVQobPbjpqAeVtEOAsEjWaz373iOVwI7p63e8VzuIiJ4OCORA09xfgscTkMB/LeK55z8XqD\nWX5f4ZHCP3LkiE87b40YCAJH/q4CnUbF0F4dgi2OmWg+G/ljcvDhgWL858AlvPp4rs+SAJG0PrZs\n2YKcnByPj/OmeM7nn39u/nvOnDl444033FL2ACAWK6HS3lP4vsxXIBYroVBrQQeB+vqWRdGcLLkD\nALhW3ggA0Gu0CA9jQizXICGeD6VMBQDGAilSJRg0mt2xmNaJtTqDTaEUc/GZBinOX28AAPCZVCjU\nOqsiMQ0NMnBYdIdrzs1RqnVgM2lurfvHxvJQerMeAHB/1wSrbbUNRjlr6+kOZQfuFc+RyDVW+5n+\nvl7WAKFMjdQE648myzYAoKmJ4bDITfN9TfsQBIFbd6SI5rORmRpjUdSGYfcYwGhlEnJoDvtqapKb\nt1H0emPxnGb73euHCdpdS9W94jlyGDQ6CJvk5mN1GvsFdCxluFUltCtvS/BoeioWi7Fy5Urk5+dD\nKBRixYoVkEgkPhcqlCm5ZQzFG9AlDvz/396Zh0dRZvv/W71v6e7shCRkY0vYTUAEwbAEAdFRCRgC\niQwZL6J4FVEQRWS8yHJ/euf+FJmBUQRh7rAIuA2OghlQuSwJYgIhCVsg+751uju91v2j6Up30nt6\nS1Kf5/GRVPdb57xV1XXe97znPUfg/a14tpiUGI7p4wajvK4DB74vpdfzBzCuGHvAUDyHw+EgIyMD\n27dvx4YNG/Dtt9/i6NGjZt+zZjzcFUym15NUpjZXMarS24honYWlBuMpi+8147KDrm2lSov80nqU\n1fT+ndkiUyG/tB41TXK0ydVWf+vN7Z0ouN2Ie3W+jWMwdU8Xl7egtlnh9P01PBO2177lnVrUtShQ\n7Mb1dneh0fn+fezUDP/tt9/G1KlTUVhYCKFQiLCwMLz22mvYs2ePQ+0LCgrw/vvv48CBAyguLsbK\nlSsRGxsLAFiyZAnmzZvndAe8jTFYb2ZylI81sczStGEor5Ph3LVaxEdKMMPLCYFo+jauFs+xd9wS\nZTbWpW9UtKJVrsLouGAqv4RWp8fNilYESXgID3R8yapVroJao7Pp8dKTJErLWzEoSIDAAK7ZZ3kl\n9Q7J0er0JgF1JHR6PUgSYDIIaHV6yO7P7upaFIgKdT3imyCApjaDR8FoyKPDAhBpIYrcOKNsbO3s\nMaO2xG0ra9ydauvG2ZgSlzpHdTtiu+1cKirraYCb2zsh4FnP5XK31nxgZPpMWEKl0eFaWZPV8/kK\n42DMfCxsCHpkmBz0xgTNqRl+ZWUlnnnmGTAYDHA4HKxZswa1tbUOtf3kk0+wceNGKtvXtWvXsGLF\nCnz++ef4/PPP+4Sxb2hVouBWI+IHi32ypcIR2CwmXnxqDER8Nv5++kaPHw0Njb9QXiszc+eb0io3\nBGop7q/vl9fJkF9ajzaFGmU17dDrSWitZEizdLy2WUEZye6UlregqKwZbXIVSiscd6PWNZun0v7t\nZiPa5F0BZnkl9cgvrUfJvRZcvtHg0gzP0RYdit6nTZYp1Kiq75myVq8nqSUGSyhV5vewTa5CaXmr\n2TFLAZmVjY4XsWmRqbqeCSuz/MZWyy57R/B21LxCpcWl4jrKyNc2K1Db7PlCaE4ZfCaTCZlMRrnt\n7t69azegx0hMTAw+/vhj6u+ioiKcOXMGy5Ytw1tvvQWFwv+rvv3r1yqQAGY94J+zeyPBEh6eezwJ\nOh2JXSeuQW7HDUbT/6iqqsLvf/97zJkzB/X19cjOzkZlZaWv1bLL7eo2cwNy/4VY3WQePX2ppA75\npfUoLW8xc9mrNDrkl9bjVlWbWRrU6iY5blaZGyEjLR0qs9+IozOt8m7G0doug7b7xtjRgi8Oie+2\nctK9TXN7J+7VyhyWaUuuvT32lrA2GLMu27YM04HYHStLIhW28uvb6UJTu+XBYA/sLFk1WRh0dH9O\nTDFe27u17WbLLm0dnin965TBf+mll5CVlYXq6mq88MILyMzMxCuvvOJQ27S0NDCZXS61cePGYd26\ndTh48CCio6Px0UcfOae5l1FpdPi5sBpiARspI13fa+wtxsQH47EpsWhs68T/nLrpa3VovMymTZuQ\nk5MDoVCI0NBQLFiwAOvXr/e1WnZpaFXiZqXjW9BaOlS4a7J3Wn5/ptbY5vps72JxHeXC7j577Q2m\ntqL4Xtfg43JpPe5Udxkxs5meBUNFOJDR/UZlK2qa5WjxgOEwlX6rqg2lFZYHUs4knm/t8OPCTqaY\nDEzUFvIltCnU1DKKkU61FnXNCouXw9o4p7jc/QF7gJNr+NOnT8fo0aNRWFgInU6Hd999FyEhru1D\nnz17NrXfNy0tDVu2bHGona9Km35/4S7knVo8kzYcgyMkXpHZW/7w5BiUVrTifFEtZkwcgofGRHhc\nprPQMj1DS0sLHn74Ybz//vsgCAKLFy/G3/72N6/q4CrOzg7rWxUIkfIgFnBwo9LE+Fh4w3ZfN222\nMrNrkakQEczC1TtW1oRJ0mIwnxF7BVkUqi6PgkanR71Jpc26Fv/wdipVWpTVtGNIuPVn19rASk+S\naJc7bsR1biyGY8R0sFbmpqXNNhNjXt0ktxgXcf1uM4ZFSs2OuUt+b3HK4O/cudPs7+LiYgDA6tWr\nnRack5ODt99+G2PGjMH58+cxatQoh9r5orRpfX07vjxzC0wGgUnDQz2ugzvLqT776Ahs/iwPO49c\nwSAJ12qBnYFSNnagyOTxeKitraWW3/Lz88Hh+NeuEndy/W4zkoc74HkjYTYQsOdNsObOrm5y3ii7\nLRsu0XMsY9Syqa3Tos5avR7ldTKbxrs7d2tlaL8fM+EsepJ0uIQt4JniNpeKHIsvcxVbqxDWlo98\njctZYzQaDXJzc9HU5FpU5ObNm7F161ZkZ2fjypUrWLVqlauqeJwbFa2obJDjgeGhPSJ4/Z3BIUI8\nNS0O7QoNjv90x9fq0HiJN954AytXrsTdu3fxu9/9Dq+99prFEtXdcaV4jlarxbp167B06VIsXry4\n1/k61FrXUsd2T4tqyfXtynq0JUyD8zyJI3XkAYM+t6vacLOq1WpWvu5xEI5CxwBZpq5FYXVXg6N4\ne+e0UzP87jP5F198EStWrHC4fWRkJA4dOgQASEpKwt///ndnxPuMU/mGYKdZfroVzx5pE6Nx7lot\nzl6pwrSxEX67w4DGfYwdOxZffPEF7t69C51Oh/j4eIdm+K4Uz/n6668RGBiI//zP/0RbWxuefPJJ\nzJw50y39cOZ96EikdVFZM8bEB4PBIFDbrLBqUPUk3JbS1Ygja+/dsWQQ2uRqNFhwpVs61h15pwZ8\nLgsMgoBKowOHxaC8QDIHI9U9UbfHlzvU7Q2qbOWWaGhTIm5wb96n3u15r0pTyeXyfp9Lv7ZJjis3\nGhAzKADDojy/du8JWEwGlqYNx//7+xUc/OEG3spONlvHpOk/bN1q2EPPs5J6ddu2bTbbO1o85/XX\nX6eOzZs3D3PnzgVgSMXLYrmv4h0Ah13DPbb4WXjElWotLpXUYXLSIJtbViucLLjjzHp1b7nTi7z6\nV+80IVjMQ2SIEIX34xMmjQwHYOizaSpXa14MH1V29V/60PVw6pc5c+ZMarRDkiTa29udmuH3Rf5x\nrgwkgDkp0X5XktIZEmMCMSkxDJeK63GxqA4PjR5kvxFNn2PChGQAQECAa2VqrRXPMW6/nTBhAgDz\nbVR8Pp9q+/LLL2PNmjUuybYI6bjB747MDXvTHcWRSmrdo7cdoapBDj7XvSmym9o7IRF2eXsuldRh\nwtBQh9t7IsCu71U46sLVJSjAz136Bw4coP5NEATEYjFEIuuZkvo6SpUWpy7eg0TIwcRE/9+KZ4/0\n1AT8eqMRX5y9jQdGhIJL59rvd8ybtwCAIVCwuLgYFy5cAJPJxNSpU5GQkGC3vSvFcwCgpqYGq1ev\nxrJlyzB//nyH9bVXHKRJrnF7AREAEIn5bj2vo+cSs53zfsg1esg1erdfA2MxGSOd+q4+2JMllQrQ\noXaP0RcG8NCh1EAsEUDc4f5YAVeuW0iICHKlBkI+G+1yNcRiEmK5dd3u1Mldvj/BISLwOCyLxYA8\ngVNPX15ens3Pn3zyyV4p42/8UlgDeacWT02L84uqeL0lRMLHnInROHnhHn64VI7Hp/ZMmUrTP9i7\ndy8OHTqEWbNmQafTYdWqVVi5ciUWLlxos50rxXMaGxuRk5ODTZs2YfLkyU7paa2giac5faHMbecS\nB/B91g9Xae5WTMb4b0f6UkeQaJc5mKjGDj9evOuW81jC1ftytbQO9+pkCJXy0dCL7H2OUHyzAUq1\n1m3X0x5OGfwzZ84gPz8fM2fOBIvFwtmzZxEaGkrl2u5PBl+n1+OHvApw2EzM8PPMes7w2EMx+Lmw\nGicvlGP6uMGQiPrWrgMaxzh8+DCOHz9OeeBefPFFLFmyxK7BT0tLw7lz55CRkQHAsOb/7bffQqlU\nYtGiRdT3TJe3du/ejfb2duzatQsff/wxCILAJ5980q+3AQ5k2vpKkhwXMfbP08YecC69sDtwyuA3\nNzfjq6++okpfymQyPP/883YDgfoil0sb0NTeiflTYq3uXe+L8LksPPlwHA78cANf/VKG7Lkjfa0S\njQeQSCRmwXMCgQBCof2CLa4Uz3nrrbcc2vJH0z+wlkK4v8Bg9N1YLXs4ZfDr6uoQGBhI/c3lctHW\n5p21B29CkiT+ebEcBIDfPZLQpwNKLDF9/GCcvlyJswXVmJUchcjQ/huHMVCJjo7GM888g8ceewws\nFgunTp2CSCSikme5kiyLhmYgwGT2X4Pv1MJ0amoqnn32WRw8eBAHDhzAs88+iyeeeMLh9gUFBcjK\nygIAlJeXIzMzE8uWLesxo/A1JeWtuFsrwwPDQzE4pP8ZQyaDgUUzhoIkgcO5t0Vg1/4AAB87SURB\nVLxSlpHGu8TFxSEtLQ1qtRoKhQJTp05FcnKyr9WiofF7+vOWZadm+Bs2bMB3332HvLw8cLlcrF69\nGlOnTnWo7SeffIKvvvqKcitu27YNr776KlJSUvDOO+/g9OnTmD17tvM98AAnL9wDAMybHONjTTzH\nuIRgJMUG4lpZMwpuNSEtjE7G05+gZ/A0tnClVO9AwV9qGXgCp0PPw8LCMGzYMLzyyitOBeVYKo+b\nkpICwFCU5/z5886q4hHu1cpQVNaMkUOkiO9VBiX/hiAILJk9HAyCwKEfb0LTi72kNP7H/v37MWnS\nJCQmJiIxMREjR45EYmKir9Wi8ROcTSxE0z9waoa/f/9+nD59GvX19Zg3bx42bdqE9PR05OTk2G2b\nlpaGqqoq6m9TN7JQKIRM5h8PoHF2P/+h/ju7NxIZIsTM5Eiczq/E8TO3MHPcYF+rROMm9u/fjy+/\n/BKDB9P3lIaGxoBTBv/EiRM4cuQIFi9eDKlUii+++AKLFi1yyOB3xzSZh1wuh1js2Gzak2VGqxo6\nkF9aj/hICVInxlBbj/pzOdWcJ8ficmkDDp+6gYfHRXo9gK8/X1tfykxISHCpdDVJkti8eTNKS0vB\n4XDw3nvvITo62uw7SqUSK1aswNatWxEXF+dQGxoaGt/jlMFnMBhmbnwulwsm07VsbUlJScjLy8PE\niRPx008/OZyww5NlRg+eLAZJAnMnRqPx/v7IgVBOdcmsYdj15TX86W+X8XrmBK8FrQyEa+srmVlZ\nWXj88ccxbtw4s9+ovS20rhTPsdeGhobGP3DK4E+aNAk7duyAUqnE6dOncfjwYaczaxlZv3493n77\nbWg0GiQkJFDFN3xFU1snzl+rxaAgAR4Y7nhe6f5A8ohQPDhqEC4W1SL3ciVmp9Czs77Oe++9h8cf\nfxyRkZFOtXOleI69NjQ0NP6BUwZ/3bp1OHLkCEaMGIEvv/wSjzzyCJWRyxFMy+PGxsaa5eb3Nd9f\nKodOT2L+5Jh+nXjBEgRB4IX0cSi604Qj/7qN4dFSDAn3vtubxn1wOByXIvVdKZ5jrw0NDY1/4JTB\n/8Mf/oC9e/c6ZeT7Au1yNX4qqEawmIvJo8J9rY5PCBLzsOKxRHz4RSF2f12Ejdkp4HPdW+aUxntM\nmTIF27dvx/Tp08Fmd2WKnDhxos12rhTPcbXgDuBacRN/pL/0A6D70p9x6o3e2dmJmpoaREREeEof\nn3AqvwJqrR5zH4zpF0VyXGX80BDMTonC6fxK7P66CC8tHAMmPUvrk1y/fh2AYfurEYIgzFLiWsKV\n4jmutDHS14rOWKIvFs+xBt2X/o1DBv/kyZOYP38+6uvrMWPGDISEhIDL5YIkSRAEgR9//NHTenoM\nRacGub9WQizkYNrY/jWQcYVnZg5FbZMChbeb8D+nb2JZ2nCzQik0fQNXl8tcKZ5jqQ0NDY3/4ZDB\n//DDDzFnzhy0tbUhNzeXMvT9gR8vV0Kp0mHBlFhw6PrwYDIYWPXkaGw7eBn/+tWQN2Fp2vB+nW6y\nP5Kfn49PP/0UCoUCJElCr9ejuroaubm5Ntu5UjzHUhsaGhr/wyGDP2HCBIwZMwYkSWLWrFnUcaPh\nLy4u9piCnkSp0uKHvAoIeSykjncumrk/w+eysDZjAj449Bv+9WsV5EoNls8bCR6HXtPvK2zcuBHP\nPfccTpw4gaysLPz0009ISkrytVo0NDQ+xKEF2m3btqG4uBgzZsxAcXEx9V9JSUmfNfYAcOZKFeSd\nWqRNjKYD1LohEXKwfukEDI2U4FJxPd7dl497tf6RDZHGPjweDwsXLsSkSZMgFouxZcsW5OXl+Vot\nGhoaH+JURNaf//xnT+nhdVQaHb6/VA4+l4nZyVG+VscvEfLYWJc5AXMmRqO2WYF39+fhf07dgKJT\n42vVaOzA5XLR2tqKuLg4FBQUgCAIKBT9tyiIu2APwKBdDoteyhwo+Hxa+/TTT0MkMqRzjYqKwtat\nW70i98yVKrQrNFgwJQYCHtt+gwEKi8lAxqxhGBMfjIM/lOL05UqcL6rFYw/FYlZyJNj0y8IvWb58\nOdasWYOPPvoI6enp+OabbzB69Ghfq+X3iPhstHSofK2GV6HDcxwngM+BTKn2tRou41ODr1YbLpy9\nrULuRqXW4eSFe+BxmJgzcYhXZfdVRsUF4d2cB3E6vwL/OH8PR/51C7m/ViI9NQETR4b1myDO/sK8\nefMwd+5cEASB48eP4969exgxYoSv1eoTPJgYDhJATaMcFQ0dvlbH43jytxsmFaC+tf94lqJChSgu\n77sG36f+q5KSEigUCuTk5GD58uUoKCjwitzcXyshU2gwZ2I0RHx6du8obBYD8ybHYPvzD2HOxGi0\nyFT4y1dF+K/Dv6G+H9eQ7osUFhZi3759UKvVWL16NX7/+9/j1KlTdtuRJIl33nkHGRkZyM7ORkVF\nhdnnubm5SE9PR0ZGBo4ePQoA0Gq1WLt2LTIyMrBs2TKUlZV5pE/egiAIMAgCgQFcp9qFiL2T5EXY\nS4/k0MESs789mViUx6E9gP6ETw0+j8dDTk4OPv30U2zevBmvvfYa9Hq9R2UqVVp8d7EcAi4LcybS\nOeNdQcRnI2PWMLz33IMYHR+EorsteGdvHs5drTFLuUrjO7Zs2YJRo0bh+++/B5fLxYkTJ7Bnzx67\n7UwL4axdu9ZsT71Wq8X27duxb98+HDhwAIcPH0ZzczPOnj0LvV6PQ4cO4YUXXsCf/vQnT3bNaziT\nYjsmPABDoyT2v9hLxiWEYHiU1OJnXAvbiiVC80FLTHgAgiU8s+92/44pYgHH6mfdCeBzQKD/evqC\nAnhgsfp2jIdPXfqxsbGIiYmh/i2VStHQ0IDwcOvpbXtbZvTzk9fRodRg2byRiIkOcqjNQCin6orM\n0NAAbB0WhrO/VuLPxwvx6T+KUVbXgRfSx1l8+bhDpjsYCDL1ej0mTZqEtWvX4tFHH0VERAR0Op3d\ndrYK4dy+fRsxMTFUzE1ycjLy8vIwdOhQ6HQ6kCQJmUxmlsrXG4SI+Whs78qoljIiDDo9iSs3GwAA\nLAYDWhcmEpa2oUaHigCCQEW9+Y4Vppfqb7CYBNgsJiYnDcKF67Um8hkYES1F4Z0m6lj8YAkYANrk\nXTEJDIIAQRBIjAnEb7caARg8d9ZwqlcEQMJ8wO/oe8BdxA0So6y23SPnHh4thdxOwPL4oSHUde0O\nm8mExoHfoCfxqcE/duwYbty4QZXblMvlCA21XamuN2VGG9uUOHHmNgIDuJiaFO7QuQZKOdXeyBw1\nRIp3lk/EX766htz8CtypbMXqp8cgSMzzmExXGSgy+Xw+9u7di4sXL2LTpk3Yv38/hEKh3Xa2CuF0\n/0woFEImk0EoFKKyshJz585Fa2srdu/e7ZCOMRFiXO1l6tO4QWIAMDP4LCYDprGkkaFCBAZwrb6I\nTenuoBJwWVCotCbnEqG+1b3pWpNignD9XnOvzjE0UmIWfDw6LhgiPhuN3XW9b8F5HBZiwgMQIOCA\nz2WivN7y8+mMv87S4CBIzAWqnDiJDUZEB6K0osUpJYZFSnGzqhWAYfARGSLEnRr3DgjYTAY0OsOA\n0lauEhaTgMaCve8+IB0eJcWNyla36kjJ8shZHSQ9PR0bNmxAZmYmGAwGtm7d6tEKW8fP3oFWp8fC\nR+K9PvLs74RK+Xhj6QP4/J+lOHetFls+z8fL6eMQM4iuuucL3n//fRw9ehQffvghJBIJ6uvr8cEH\nH9htZ6sQjkgkQkdHVxCbXC6HWCzGvn37MG3aNKxZswZ1dXXIzs7GN998Aw7Htjs4MlSEe718+Y4e\nEY7qhg40ybtmXkZvijigDQAQGCjEoGABxHVyi+cwRSLmmnljHhRycbmk3uzcWoKBRpl54FZwsAih\nwUJKppGIECFqGnvKDRRz0dJumHmHhIggbjYYZg6bCbUlq2CUExJAvbtMZQUHCxEs4VPHgoNFEAs5\nAIuFehNdg4KECA0RUX0xIq7qMvimBWcChByAaZA3blgoCu57TSwRJOFR3wWAkbFBCAsSYBqfS7Xj\n81hQdmqtnQKTx0TgwtUai58NiZKiprWT+jt5ZJjZvTH2r6mj61kICRGh7v51fuQBw/brxg7XthWH\nhgaAp1BD3GAer2S8LsOGSBEaIurxDBgR8FhgW+i7kM+GXGnQKVjCw4iEENS2dXll3LmM4FODz2az\n8f7773tFVtHdZly4XoeYQQGYPGqQV2QONNgsJlY8lojIUBGO/usWtv/tV6z83SiMHxria9UGHOHh\n4WblcU3r19vCViGchIQE3Lt3D+3t7eDxeMjPz0dOTg5u3bpFufEDAgKg1WodisUhSdJucZOUEWHI\nL+16qQcF8KDXk2i976ZuaJChuUVhdh6jN8V4rLmZBYZOR/0dFyFGmZWBBqHT9fDGCNkM1DTLqXNr\nVFq0y5QIDxSAz2WhWa6BXq1BQ4OMkhE7SIwwKR8MBoHSbn3kc1iIkEjQ0NgBhUqLjnYlOAxDbMyg\nIAE0Wh0u37BsWBsaZJTBN+1zU5McerWWOtbU1AGVgg2SJCFgE6htNhgpWRsXDRbibIztuhec0Wu1\n6LhvjNRKlc37xSHMdWpu6gDjvgvbeDwp2nwpwpTIEBEaTa5hdxobOsw+U8p76tPeyjXri6KjE+0y\nJSRCbo/nojuBIi6GRkmQd38QIeKx0WHiwm9okKGxVdmjvaZTjZFRYjBI0uwZ6I5GxYJSbW7wBVwW\n2tQayos0MlLc4xwsN06Cfb4P3xt0qrXY/10JGASB5XNH0nnhPQhBEJj74BCESnn46zfX8dGxQmTM\nHIbZKVH01r0+gL3iORs2bMCKFStAkiTS09MRFhaG5cuX480338TSpUupiH0ez/ZyDgCrlSlHxwXj\nWllTj+9EhYgQFSaCWqPDrzZmmpbgsJmIChVBLOBAJGD3MPhcFhMqrc6iC1ss5FAGHzCknk4ZEUbp\nNmZEzyUbgugK+osJD8C9OsPngSIuhoQHUP1UaXTgsJkYGtkV8Gea22JQkIAy1oDzsQIEQSB2kBiD\nggRokamc3nkgFnAog2+JBxPDUXCrCZ0abQ93utCBHVCRISIoVVqEB/IhEXFtejdAAAIuGwqVdX26\nLyHwuSyMHxpisU6KRMBBm0KNUCkfPA4LYVK+WdBhWJAAHdXms3VrOVscsSlhgXzqOTAyKi4I1+4Y\nlnOCxTyLgaLuzAI7IAz+sTN30NjWicceiqFdzF4ieUQYgsQ8fPhFIf7+401U1Hcg69HhdKIeP8de\n8ZzU1FSkpqaafS4QCPDf//3fTstiMAiL67LWtsoaX4YcNhOhUj6kNqLLga61VaORjAoVUZ91Xyc1\nDkYtGXxLO0/sltE2aRIRLARBEBBwWQY3u0l/rL3MJUIu2uQqBAXwoNOTkMk1iI8UW5UrEdpePuFx\nWIgIdux1nzBYAqVKi+omOaQiLkR8NpQqrdmAfXCwEAECTo9B/Jj4YFy9HzjoiKFisxiIDuvadWCt\nfwF8DrhsJmLCRSgut76OTxAExiWEoKymHeOHh0KtVFtdVx8xJBDNsk4EBXQZWr3JveZZGCTwuPbf\nXxwWE2qtDiI+G6ESPhVEaNgN0WXwxyWEgMlg2IyTiAoVIUzqvu2e/d7gX7heix9/rUREsABPTI31\ntToDirgIMTZmp2Dniav45WoNKuo7sPJ3ozAoSOBr1Wj8BGszTqmQa9NgJAy2vwUuKTYI9S1KhAb2\nfGEGiXnmEd1Gu+WmXaU6vfmJnH3mh0dLoOjUIkDAMRskWMOZLYT2CJHwQBAEIoKFViP4B4cILRpn\nIY8NAZeN7hcyMkRE6Wga5NYdBoNAyogwKDq1ZoGMg0MMAadGr0FUiKhH2+gww2SOz2UhKTYIEhEX\nDRay4kXd14XBIBAiMX82TK+ipevuyEw+dlAAblS2Ii5CDCGPDSaDAJfDhIDHwtj4YGonhfH5FvHZ\n6FRrLQ50TQep7qBvbyq0Q3mdDPtOloDHYWL102Po2aUPCJbw8OayB/Dw2Ajcq5Nh82eXkPtrJfR6\ner8+jXVGxgRS3rikmCBIBByEWTDctuBzWYgZFGD1JR1uYoSFPMPLV8DrOcgwuoMdybOfFBOEAAEH\nob2clTEZDATY2QNvugxghH0/aM7WVjtbTBjRlTXT0jmMeQBseTjGJgRjbIJ53E50mAiR94128ogw\n6rilO8NiMqzuB2QxGZicNAhRYeaGcGikhDq/PaLCRNQAojvWlh0lFu4Fj83C4OCe5wkS8zA5aRCV\nIClEyqfupYDHxsSRYUgxuQbxEWLED5YgPNDzE6F+O8OvbOjAfx3+DWqtHi89PQYRFm4MjXdgs5hY\nMT8Ro+OCcOD7Uhz84QZ+KazBi4vHI1hAZzqksY1YyIFYaD1nhjtiQ6JCRZCKuIY14G6I+GwMi5RC\n5MCzKhZyMMqGru7EUsa9sQnB6FRrXd6FxGISsFVJgM9l+aSyKJdteYAhFXLRKlf1OvugNXhsFjo1\nWsSbDK7GDzW44l0dVDG7BeExGIRb3fa26JcG/3ZVG/7/F4XoUGqQ9egITBhue28/jXeYlBiO4dFS\nHMm9hQvX6/D6hz9jbEIwHp8SiwQLsxWagcWQsACH3NfdCRHzcKfa8lYoexiD9dgshs1ZebDEfhCi\nt+FzWYiLECOA33XN2CwG2Cznr+G4hBDIlBoIeGzIZZ32G5jAYhKAxnPJhxJjgqwGyw0fIoVao7O5\n/91ZGARBxUSMjg+CWqMzG0C5U5Y1EmOCoLOy7NEb+pXB1+tJfH+pHMd/ugO9nsTyeSMxfdxgX6tF\nY4JUxMW/PTEKqRMi8c35eyi83YTC202IixDjkfGDkTIizKJblab/IxKwXaptwWAQSBgswW0XjP7Y\nocHQaPX2g/D8FHe5gXszcx8aJUFVo9zt681GbAUkMgjC7QbYtBiYIYmT958Ne0GYruLTNytJkti8\neTNKS0vB4XDw3nvvITra+fz2ej2JKzcbceLnO6hulEMi4uDfFiQhMdY7rjUa5xkeLcW2CVH45XIF\nfsirQMGtRpTVtONvp24gMSYQY+KDkRApRlSoqM++jPsi9n6Tubm52LVrF1gsFhYuXIhFixYBAPbs\n2YPc3FxoNBpkZmZi4cKFXtU7MIALEY9tdW3WGkwGA0wO/Xz1Bh6H5VAQpSnUDgqmZa+AcUbtKVe9\nLfrz9mGfGnzTQh0FBQXYtm0bdu3a5VBbrU6P21VtKLzThAtFdWiRqUAQwMNjI5CemuBU0Qca30AQ\nBEbGBGJkTCAa25Q4X1SHS9frqFm/4TsGr4BYaNiWw2QQ1DYpPWmo9MViMsC7HwVrjGoOFHEhDeAi\n8H5bV9fbBhq2fpPG4jnHjx8Hl8vFkiVLMGvWLNy6dQtXrlzBoUOHoFAosHfvXq/rzWIyMDo+2Oty\naVwjKTYITe2dCLaSfpvLZmJcQgidEdXN+NTg2yrUYY8931xH/v2MSDwOE4+MH4y0lGinR/g0/kGI\nhI/Hp8Ti8SmxaGxVovheC8pq2lHdKEdTeydqmuRQa1xf0xJwWQgQsCEV88BmEOBxmOCymeCwmffX\nPQ2uO+r/TAIsJgNMpqFUKghDnnW9noRGp4dGo4daq4Nao4dGa/hPp9dDpydBkoaZMglDGy6PBYVC\nDb2ehFZHQqvTQ6vTQ6PTQ68nYdywwGIS4LGZeHJ6vNMzJnfhTPGclJQUXLp0CdevX8fw4cPxwgsv\nQC6XY926dU7JHBIWgJomBUQ+mM3R+AY+l2V3CcAXwYH9HZ9eUVuFOuyRPDwUgSIuEmMDkRgTSI8E\n+xEhUj6mSfmY1i3+Qk+S1PZeo9eNJA3enk61DvJODWQKDdrlarTIVGjpUKFVpkKbXI02uRodSg0a\nK1p77JH2FQyCoAYUJEjodIbBwuQmhc8MvjPFcwQCATo6OtDS0oLq6mrs3r0bFRUVWLVqFf75z386\nLHNwiJAeqNPQeAGfGnxbhTqsYSz4sOAR72XMGwjlVAeSTBrruFI8RyqVIiEhASwWC3FxceByuWhu\nbkZQkP0Ymv5y//tLPwC6L/0Zny5sPvDAAzh79iwA9CjUQUND431s/SZNi+eo1Wrk5+dj/PjxSE5O\nxs8//wwAqKurQ2dnJwIDA32iPw0NjXUI0lKiaC9hGhEMGAp1mObtpqGh8S6WfpNFRUVU8ZwzZ85g\n586dVPGcJUuWADCU471w4QJIksTatWsxZcoUX3aDhobGAj41+DQ0NDQ0NDTegd6rRENDQ0NDMwCg\nDT4NDQ0NDc0AgDb4NDQ0NDQ0AwC/MfgkSeKdd95BRkYGsrOzUVFRYfZ5bm4u0tPTkZGRgaNHj1LH\n9+zZg4yMDCxcuBDHjh3zuEytVou1a9ciIyMDy5YtQ1lZmVtlAoBSqcSSJUuoczvSxt0ytVot1q1b\nh6VLl2Lx4sXIzc31uEwjTU1NSE1N9cq1BTz7DFmS6eln6Ntvv8XixYuRmZmJzZs3O6ynN/AXPZzl\n6aefRnZ2NrKzs/Hmm2+ivLwcmZmZWLZsGf74xz9S3zty5AgWLlyIjIwMnDlzxncKW6CgoABZWVkA\n4JT+KpUK//7v/46lS5di5cqVaGlp8YX6Zpj2pbi4GNOnT6fuz3fffQfA//ti6R3r8ftC+gk//PAD\n+cYbb5AkSZK//fYbuWrVKuozjUZDpqWlkTKZjFSr1eTChQvJpqYm8uLFi+Tzzz9PkiRJyuVy8qOP\nPvK4zNOnT5OvvPIKSZIkee7cOfKll15ym0ySJMmrV6+STz/9NDl16lTyzp07DrXxhMxjx46RW7du\nJUmSJFtbW8nU1FSPyyRJw3V/8cUXyUcffdTsuKdkevIZsibTk89QZ2cnmZaWRqpUKpIkSfLVV18l\nc3Nze/0MuQt/0cMZVCoV+dRTT5kde/7558m8vDySJEly06ZN5KlTp8iGhgZywYIFpEajIWUyGblg\nwQJSrVb7QuUe/PWvfyUXLFhAPvPMMyRJOqf/Z599Rv0u/vGPf5BbtmzxWT9Ismdfjhw5Qn722Wdm\n3+kLfTF9x7a1tZGpqakevy9+M8N3NKUnm82mUnr+8ssvVErPVatWYcaMGR6TmZycjLy8PMTGxkKn\n04EkSchkMrDZzqUDtZdOWKPRYNeuXYiPj3e4jSdkzps3Dy+//DIAQ/IVFsu5HE2uyASAHTt2YMmS\nJQgLC3NKnqsyPfkMWZPpyWeIw+Hg0KFD4HAMtSS0Wi24XG6vnyF34S96OENJSQkUCgVycnKwfPly\nFBQU4Pr160hJSQEATJ8+Hf/7v/+LwsJCJCcng8ViQSQSITY2ltre6GtiYmLw8ccfU38XFRU5pH9J\nSQkuX76M6dOnU989f/68T/pgxFJfzpw5g2XLlmHjxo2Qy+V9oi+m71idTgcmk+nwc+VqX/wmWbEv\nUno6I1MoFEImk0EoFKKyshJz585Fa2srdu/e7bZ+AsCECRMAgCoQ40gbT8jk8/lU25dffhlr1qzx\neD+PHz+O4OBgTJ06FX/5y1+ckueqTE8+Q9ZkevIZIgiCynB34MABKJVKTJkyBSdPnuzVM+Quevss\n+wIej4ecnBwsWrQId+/exXPPPdfjfnZ0dEAul/d4T8lkMl+o3IO0tDRUVVVRfzuqv/G4sX6C8bu+\npHtfxo0bh8WLFyMpKQm7d+/Gzp07kZiY6Pd9sfSO3bFjB/W5J+6L3/zKXE3pOW3atB4pPT0pc9++\nfZg2bRq+//57fP3111i/fj3UarVbZLqzjTva19TU4Nlnn8VTTz2F+fPnOyzPVZnHjx/HuXPnkJWV\nhZKSEqxfvx5NTU0elenJZ8gann6GSJLEjh07cP78eezcudNlPT2Bv+jhDLGxsXjiiSeof0ulUrPn\n0vhusPbO8EdMr7k9/U3vWXfj4w/Mnj0bSUlJ1L9LSkoQEBDQJ/pi+o597LHHPH5f/OaX5ouUnq7I\nNF5oAAgICIBWq4Ve73gVN1fSCfc2BbEr7RsbG5GTk4PXX38dTz31lFPyXJV58OBBHDhwAAcOHMDI\nkSOxY8cOBAc7XvLUFZmefIas4eln6O2336aWEoyufX9JY+0vejjDsWPHsH37dgCGZ6SjowNTp07F\npUuXAAA//fQTkpOTMWbMGFy+fBlqtRoymQx37tzBsGHDfKm6VZKSkpCXlwfAvv4TJkyg7tnZs2cp\nl7O/kJOTg6tXrwIAzp8/j1GjRvWJvlh6xyYmJnr0vviNSz8tLQ3nzp1DRkYGAENKz2+//ZZK6blh\nwwasWLGCSukZFhaGsLAw5OfnIz09nYr+JYxl1Dwkc/ny5XjzzTexdOlSKtqax7Nc09kVmUZM+2Gp\njTO4InP37t1ob2/Hrl278PHHH4MgCHzyySeUAfGETFOcuY+9kZmamurRZ8iSTE8+Q6NGjcLx48eR\nnJyMrKwsEASB7OzsXj9D7sJf9HCG9PR0bNiwAZmZmWAwGNi+fTukUik2btwIjUaDhIQEzJ07FwRB\nICsrC5mZmSBJEq+++qrDvxdvs379empgaE//JUuWYP369cjMzASHw8EHH3zga/XN2Lx5M/7jP/4D\nbDYboaGhePfddyEUCv2+L5besW+99Ra2bNnisftCp9aloaGhoaEZAPiNS5+GhoaGhobGc9AGn4aG\nhoaGZgBAG3waGhoaGpoBAG3waWhoaGhoBgC0waehoaGhoRkA0AafhoaGhoZmAEAbfBoaGhoamgEA\nbfBpaGhoaGgGAP8H+uFRIUqNe7sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e8d4e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fit.plot();"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using gpu device 0: GeForce GTX 970 (CNMeM is disabled, CuDNN not available)\n"
]
}
],
"source": [
"from pymc3 import Model, MvNormal, HalfCauchy, sample, traceplot, summary, find_MAP, NUTS, Deterministic\n",
"import theano.tensor as T\n",
"from theano import shared\n",
"from theano.tensor.nlinalg import matrix_inverse"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"squared_distance = lambda x, y: np.array([[(x[i] - y[j])**2 for i in range(len(x))] for j in range(len(y))])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"obsがガウス分布に従うとする観測データyでその共分散Σを\n",
"\n",
"- 対角成分(自己相関) : eta_sq+sig_sq\n",
"- 非対角成分 : eta_sq+exp(-rho_sq*xの距離行列D)\n",
"\n",
"としてeta_sq, sig_sq, rho_sqを推定する。\n",
"\n",
"eta_sqは全体に共通する分散の成分、sig_sqはxの空間上のある点固有の分散成分、exp(-rho_sq*距離)は異なる点間に起因する分散成分(?)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied log-transform to eta_sq and added transformed eta_sq_log to model.\n",
"Applied log-transform to rho_sq and added transformed rho_sq_log to model.\n",
"Applied log-transform to sig_sq and added transformed sig_sq_log to model.\n"
]
}
],
"source": [
"with Model() as gp_fit:\n",
" \n",
" mu = np.zeros(N)\n",
" \n",
" eta_sq = HalfCauchy('eta_sq', 5)\n",
" rho_sq = HalfCauchy('rho_sq', 5)\n",
" sig_sq = HalfCauchy('sig_sq', 5)\n",
" \n",
" D = squared_distance(x, x)\n",
" \n",
" Sig = T.fill_diagonal(eta_sq * T.exp(-rho_sq * D), eta_sq + sig_sq)\n",
" \n",
" obs = MvNormal('obs', mu, matrix_inverse(Sig), observed=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"xgridに相当するxに対するyに相当する値の予測\n",
"\n",
"xgrid-xgrid間、x-xgrid間の距離行列D_pred,D_offdiagを作り、それぞれの分散\n",
"$$ \\Sigma_{pred},\\Sigma_{offdiag} $$\n",
"を推定されたeta_sq,rho_sqから作る。\n",
"\n",
"平均、分散の推定値mu_post,Sig_postはstanではtransform に相当し、それぞれ\n",
"$$ \\mu_{post}=(\\Sigma_{offdiag}\\Sigma^{-1})y $$\n",
"$$ \\Sigma_{post}=\\Sigma_{pred}-(\\Sigma_{offdiag}\\Sigma^{-1})\\Sigma_{offdiag}^T$$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with gp_fit:\n",
" \n",
" # Prediction over grid\n",
" xgrid = np.linspace(-6, 6)\n",
" D_pred = squared_distance(xgrid, xgrid)\n",
" D_offdiag = squared_distance(x, xgrid)\n",
" \n",
" # Covariance matrices for prediction\n",
" Sig_pred = eta_sq * T.exp(-rho_sq * D_pred)\n",
" Sig_offdiag = eta_sq * T.exp(-rho_sq * D_off_diag)\n",
" \n",
" # Posterior mean\n",
" mu_post = Deterministic('mu_post', T.dot(T.dot(Sig_offdiag, matrix_inverse(Sig)), y))\n",
" # Posterior covariance\n",
" Sig_post = Deterministic('Sig_post', Sig_pred - T.dot(T.dot(Sig_offdiag, matrix_inverse(Sig)), Sig_offdiag.T))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_iter = 1000"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned NUTS to eta_sq_log\n",
"Assigned NUTS to rho_sq_log\n",
"Assigned NUTS to sig_sq_log\n",
" [-----------------100%-----------------] 1000 of 1000 complete in 34.0 sec"
]
}
],
"source": [
"with gp_fit:\n",
" start = find_MAP()\n",
" gp_trace = sample(n_iter, start=start)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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DJzrg8gRgd/oQ8KnT2oZU9JHbGxSv90Dq72QpLTWgvc0ptlGgrc0h++5EowUl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3AAAg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09vbiuuuuwyuvvILPfe5z8Hq9eO6552T1m9u1JS32NAGDK5iqOS45BN8AwEJz0my31iddaCqM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\nQkUIIYQQQgghAtEJFSGEEEIIIYQI9B88/wWWo37xXwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efccdb55290>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traceplot(gp_trace, varnames=['eta_sq', 'rho_sq', 'sig_sq']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"mu_post, Sig_postのtraceのうち50step以降の値を用いてyの予測値を作る"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:1: RuntimeWarning: covariance is not positive-semidefinite.\n",
" if __name__ == '__main__':\n"
]
}
],
"source": [
"y_pred = [np.random.multivariate_normal(m, S) for m,S in zip(gp_trace['mu_post'][50:], gp_trace['Sig_post'][50:])]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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jaEJgEiPLuavaFwWtczTOMZ3NmJI2OFVapw1KIbBkDKUx+MYzo8EAx0kivEN6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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7efcd3fb44d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y, 'r.-')\n",
"\n",
"for yp in y_pred:\n",
" plt.plot(np.linspace(-6, 6), yp, 'c-', alpha=0.01);"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"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": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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