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Forked from fonnesbeck/Simple GP.ipynb
Created November 10, 2016 18:00
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Example of simple GP fit, adapted from Stan's [example-models repository](https://github.com/stan-dev/example-models/blob/master/misc/gaussian-process/gp-fit.stan)."
]
},
{
"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": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"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)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Original Stan model:"
]
},
{
"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": {
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VoHUGm/s4kzynPru89QHg0OGfP38eb7zxBvr27Vvj99jY2ICJxJWbHb7I/hRDTLgQXA4L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\nbfBpaGhoaGgGAP8H+uFRIUqNe7sAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11e8d4e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fit.plot();"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"collapsed": true
},
"outputs": [],
"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": 123,
"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": "code",
"execution_count": 124,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied log-transform to η_sq and added transformed η_sq_log to model.\n",
"Applied log-transform to ρ_sq and added transformed ρ_sq_log to model.\n",
"Applied log-transform to σ_sq and added transformed σ_sq_log to model.\n"
]
}
],
"source": [
"with Model() as gp_fit:\n",
" \n",
" μ = np.zeros(N)\n",
" \n",
" η_sq = HalfCauchy('η_sq', 5)\n",
" ρ_sq = HalfCauchy('ρ_sq', 5)\n",
" σ_sq = HalfCauchy('σ_sq', 5)\n",
" \n",
" D = squared_distance(x, x)\n",
" \n",
" # Squared exponential\n",
" Σ = T.fill_diagonal(η_sq * T.exp(-ρ_sq * D), η_sq + σ_sq)\n",
" \n",
" obs = MvNormal('obs', μ, matrix_inverse(Σ), observed=y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following generates predictions from the GP model in a grid of values:"
]
},
{
"cell_type": "code",
"execution_count": 125,
"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_off_diag = squared_distance(x, xgrid)\n",
" \n",
" # Covariance matrices for prediction\n",
" Σ_pred = η_sq * T.exp(-ρ_sq * D_pred)\n",
" Σ_off_diag = η_sq * T.exp(-ρ_sq * D_off_diag)\n",
" \n",
" # Posterior mean\n",
" μ_post = Deterministic('μ_post', T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), y))\n",
" # Posterior covariance\n",
" Σ_post = Deterministic('Σ_post', Σ_pred - T.dot(T.dot(Σ_off_diag, matrix_inverse(Σ)), Σ_off_diag.T))"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_iter = 1000"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned NUTS to η_sq_log\n",
"Assigned NUTS to ρ_sq_log\n",
"Assigned NUTS to σ_sq_log\n",
" [-----------------100%-----------------] 1000 of 1000 complete in 27.2 sec"
]
}
],
"source": [
"with gp_fit:\n",
" start = find_MAP()\n",
" gp_trace = sample(n_iter, start=start)"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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43bRATiB0DqnE6vDAYnVCp82DwWBNqFRdNtk5ufjyBJc1imiDT1OTv72uxWpc\nbvKbrEwmGRQB20iz1c21bTRKoWqHBHQNTQ4o5FIUaUOD89JSbdz+b7K4QnKabKDdiQtdZxNmmzvi\nfjMabNwyk0kOaYLYoUR91BpYlo16v4XTZHHhdE0LTlUBNw3qErF+3/F6ANHXtZaI/jLa4MqLXwY4\nHX3E52AazjP4jpBQFBiWhclkA+ulU9Z+OKlSOkUpVRKJhJulA4BOnTpBIqLSNcuyWLJkCU6dOgWF\nQoHly5cL3AZ/+uknrFq1CgBQUlKCP/zhD4JEGNkMw7D41+E6KBVS3HR16m6k9mbaLRVgGBaf7L2A\nVf8gihWBQOh4rFu3DhaLBWvXrsWaNWtAURTuvfdeOJ1OzJo1C08//TTmzp0LpVKJm2++GaNGjUqq\n/XBXFrPdgx9ONqCiiw6di7Mnv1l7udwke5hocrUlgURw12KdklOqYtEeMVVurw9V9X5LZioHptkO\nv2eVcincXp8giUumPMDEHpfOYtfQ9iJdLqjBVqmgqSpHEKVU9evXD++99x5omsaJEyfwj3/8AwMG\nDEi4386dO+HxeLBp0yYcPnwYK1aswNq1a7n1ixcvxn//93+jrKwMmzdvRl1dXc6kqT1a1QSTxY3R\n13VLu/95url7ZG8A4BSrZ2YPJTFWBAIh56itrcWiRYtQW1uL9957D88++yx+//vfo0eP+DGvL730\nEl566aWY66dNm4Zp06a1QTLhoMDl8c+41hrtWaVUtdswNsnDRFOgmDakPQ/uq1LIcFVZEU5VN8es\n+9MecUs+X+gYDMOKtmAK4o9yZ9zJwZc5TyHzK1XhmSGzGDYLlKpMZ6dMd8xh8EnIlftblFF78eLF\naGhogFKpxIsvvgiNRoOXX3454X4HDhzgsgYOGTIER48e5dZVVVWhsLAQ77zzDubOnQuz2ZwzChUA\nfHuoFgAw6gqp9XTXrRWYdksvGFpcWLHxAKobbZkWiUAgEJJi8eLFWLBgAdRqNUpLSzFlyhQ8//zz\nmRYrZwYE7SUmm6RCFG0b2tf60Xfw+BQVSpZgtrkj1gNChSdd8K0zyVjGXF5fOsTJCFlV45N3CeIp\nDcRSlUalKtBsrkXWiFKq8vPz8cwzz+Cf//wntm7diueff17gDhgLm80GrTbkpyiTycAE/GObm5tx\n6NAhzJ07F++88w6+++47fP/99608jfalxebG4bMm9OysQa8u2Rds3BooisLdI3tjzvh+MNs9WPn3\ngzhd3ZKOGBqCAAAgAElEQVRpsQgEAkE0zc3NuPXWW8GyLOfCZ7NlfoIodg2kdhUjIZlx/0t80KC1\nKJiC20v78OMZQ6iFpC1f4NoLxkNbHB6BYhV+7HTCH5iKPR7LsoJaW5m2WLSFrsXq6JkA21+UCOIp\nuT5f5mtFZbqP0uUeG2qVCvyd6TMVhyi/tQEDBkQkYigtLcWePXvi7qfRaGC3h/yVGYbhYrEKCwvR\ns2dPVFRUAPDXwjp69ChuvPHGuG1mQ8ak3Ycvg2FZTLm1Nzp1iqzxlA0yxiOefPdPGoRunXV47f2D\nePWDQ3j6geG4ZXD7W+NyuQ+zgWyXD8h+GbNdPiA3ZGxPVCoV6uvrue/V/v37syJON/aAN/sHCkEF\nNbVttm77oBxOj9BCk3yMVshSJeW52rmjWH7aI6aKFWkZ4ZPN9bPEErwOCrkErsA1Fbo0ZuYc+QP4\neEpuVuixGZYhXdco+BxkWS6fhIhSqk6ePMn99nq92LlzJw4dOpRwv2HDhmH37t2YOHEiDh06hP79\n+3PrysrK4HA4UF1djbKyMhw4cEBURqV0ZjARA8Oy2PFdFRRyCa7uWRghT7qzrLQVMfJdXVaAX88c\njLVbj2LVu5WYeVsfTBzRs90yHF4JfZhJsl0+IPtlzHb5gOyXMRMK3wsvvIBHH30Uly5dwl133QWz\n2YzXXnst4X40TePFF19EbW0tvF4vHnvsMYwdO5Zbv2vXLqxduxYymQwzZszArFmzkpIr1rgjKwZl\nPKINkDw0A2UaXbNEuf8FRo7BL1CES16yMVWBfymKEihV0igJuNpjYM8fuItVlnLZMhUORVGcparG\nkAWW5ThKLsOwMJqdGSkKnI3XPB3KfdVlCxqa/SUXQkFVKT9MWkg6w4JcLsekSZPwP//zPwm3nTBh\nAvbu3YvZs2cDAFasWIHt27dzGZWWL1+Op59+GgAwdOjQ5IopZojjF5pgNLtw6+CuOZ+gIh7X9tZj\n4YPD8NpHh/HR7nMwNDtx/4T+SaWtJRAIhPZk8ODB2Lx5My5cuACfz4fevXuLslR98sknKCoqwurV\nq2E2m3H33XdzShVN01i5ciW2bNkCpVKJOXPmYNy4cSguLk736YjC5aGhkPnTs3tpHxgGggK5XtoH\nuUycUhRtzPbjGQP69yhMaVbYZAeH4Zaq8IFusq5BLMtyroQyaUipCiaIaI3lqC20xv0vPNN4Fo63\nRUMBoAKj5yarK7PCJODUpWaYHR4A7e+SFu1omb7s6Xg8OIUKoWc+0+cpFlFawccff8z9ZlkWZ86c\ngVwePy8+4O+MpUuXCpYF3f0A4MYbb8RHH30kVtas4NtDdQCA0dddGQkq4tGzsxaL5l2PP2/+Cd8c\nqkNjixO/vPsaqFWJrz2BQCC0FwsXLoy7fsWKFXHXT5o0CRMnTgTgd1OXyUKfxnPnzqG8vJyLIx4+\nfDgqKytxxx13iJYvXQNeL+3DobNG5CtlGNynBAdO++OMgmm5axptqDHacFVZkaD+UWw5owvabHOn\nWKni/RaxfSimyv+3L0yjaI07YXCwxrdORcu61x4xVR3X/a9t69uDiHIInEKVAfmialUdJPsfAJPZ\nBXWeDCpF9ho0REkWnkCiqKgIf/rTn9IiUDZjtntw6IwRPUrV6N01MpbqSqRYp8ILDwzD3z49jkNn\njfjdu/vx65mD0VVElXMCgUBoD0aMGNGm/fPy/K48NpsNTz75JJ566iluXXjCJbVaDas1WbfL6AOP\ntrpUu71+5cLhjl4UMzjj22Jzi1KqYo2PJKmOqUrWshTQoYL9FVQoFDIpPHTyGfBYluUGawJFKjBA\nFcTUtEMuAr7iJnaQGq7s5UogPx9O5hi3V2vOyGL3wMewou73mHIJlP7oUsgkknbXZ9pDwU+WtCtV\ngXvD6aJxuckOCUVhxMDOaT1mWxClVCWa5esofHfkMnwMi1FDurVbfFE2kKeU4Yl7rsWWPefx+b6L\n+N2GA3jsrqtxbW99pkUjEAgETJ8+nft94sQJ7Nu3D1KpFLfccgv69Okjqo3Lly/jiSeewIMPPog7\n77yTW67RaAQZBO12O3Q6cZNqwbgym8MDncERsV4hl7Yp9izP4YHO6OCOpdOaBcfVXbbCSzMoKsoX\ndRxKLoOuJdL9Sl+sTrg/w7CBFOWJv42MVAqdxT/jX6LXQJXAlb7R6oGHBfJVMpSWamGnWegcNPJV\nMjhcNPR6DdR5sT0oWJaFj2E593WtwQ6fjwn1U6Df9HoNinQqsFIpGgPytfUaicFLUdBZ/ccrLFKj\nlFe7LNaxFTY3d+0BoLhYI9gvFwjeB/piDZxuGnavUIMVe9/ytzleXQMA6N+7pNVyebw+6C77J070\neg20+SEX4uC9UlysBiWXwhWI74smZ/jzGA/ax8Du9KJAE1sZ9NIMdHXCCZ1ivUaUFTld97BPIoHO\n4o57DC/NQC4THzoS7DcA0OTLIXN4odGqoAvcH6k6F6vDg8NnDLimDfdKOKKUqrFjx0Z9UQazAn39\n9dcpEyhbYVkWew7XQS6T4OZrOk7F8yASCYWZY/qge4ka7+w4idc+PIx7RvfGnTeVdygFk0AgZC9v\nv/02Nm3ahHHjxsHn8+GXv/wlHn30UcyYMSPufkajEQsWLMDixYtx0003Cdb16dMHFy9ehMVigUql\nQmVlJRYsWCBKnmAiEZvTC4vVGbFeIZO2KdmI3RVq12Cwcr8bGy2gKAoWixNeH4M8GQWDKvHn3mR2\nRZXTopTCoIwfl3XglAFKhQTXVCSebDO2OGGxOqHT5sFgtCZ052lutsNic8PnlcNgsMJotMFidYKl\nFbA6PTAarXDEcUu/1GBFncmO6/qWQKWQwdziBMuyoetjc4FhWRhNNtBuL0wB+QC/RSLdCWFMTQ7u\neCaTDRKf3/oWLxmN2eYWXKsm3n65QlOgn5ua5HB5fBH3XlOTFPnS+OOL8D7iPw+txUv7BO24eEoV\n/zq12D0RzxyfZGQ5et4Em8uLa3vrY4ZYeGkmoo+MRht8bm/cttOZ1MjIu3ejHaPF5sbJS82o6KpD\n5yJxSj//HBkvDZvLCwWVmmvL53R1C5qtLhw4VodxN1Uk3kEEopSqqVOnQi6X495774VMJsOnn36K\nI0eOCFwkrnROXWpBQ7MTN1/duUPHFN18TRd0Ls7Hmq1H8M9vz+Nigw0P3zkgq31cCQRCx+CDDz7A\nli1buPinxx9/HHPmzEmoVK1btw4WiwVr167FmjVruBpXwaRKCxcuxMMPPwyWZTFr1ix06tQpKbli\nxSqlK5uXP2aoFfvFdFOMv5/LQ8Pr88HrFDmoT/K8ufTKEqH7XzDJRKLW6kz+0i52Jw2ZVAKXl4ZK\nHvpm9SjV4FKjFTUGG6obbejCs/i0d50qsfdEeExV9jmGJYaTmVcvLBsQE/PHhK1kEdOLUVRZApvL\nrxi5Pb6YY8xsyv7n8frQbHUnLIBsNPst37UGu2ilik8oUUXqzz1oufbSqWtb1Ej4X//6F7Zs2cL9\nPX/+fNxzzz3o3r17ygTJdvYc9ieoGDXkyk9QkYje3XRY/PMb8MbWI9h/shGXjXb85/RrSJwVgUDI\nKAUFBYIkE/n5+VCrE7+XXnrpJbz00ksx148ZMwZjxoxptVwxq1S18Vsea5jGsCwkMdfGJmZMVYJi\nMR5vcoFH/MOI6QNfWPHfYKKKYJIJsf3IgoXV4Q20wSsvGjg9m9O/juYVdW2fRBU8pUrkPpExVbmB\n2+uDodmJTkV5nMwUYtzLWXBSsUvMsYKBPhtnJiOewpWULCloI1Wcrm6BzeUVTE5EI1iyoNWxV4GO\nS8djGJyUoVNYxFm0k+N3333H/d69e7eoD9WVgs3pxf5TBnQpzkf/ssJMi5MVFKgVeHbOUIwb3gO1\nRjuWvbsfP5xoyLRYBAKhA1NWVob77rsPf/3rX/H2229j3rx50Gg0eP311/H6669nTrAYA4J0Ddhb\nPaMdY79EiSqSPlqydaWYoBz+f4N1qqQJXMPCoX0sfIEBVFkn8WOYdCtWNL/ulshDeenczKle3eDP\nSHmxwcrJTHH/ExJ+RrSPaZcU94IjxLIyh62K2/1h61r7fEbbL1PWK7vLnxzH5Y2eJCdI8N3R2meI\ny/6XhvMMxnml0gomylK1bNkyPP/88zAajQCA3r17Y9WqVSkTItv599F60D6mwyWoSIRMKsEDE/qj\nX48CvLPjJP5n2zGcrm7BfWP7iq6LQiAQCKmioqICFRUV8Hg88Hg8uOWWWzItEoD0Wapi0dpxZ3Cg\nFE7C5pKtO5XU1sIB2aUGK1rs/sB4KVdXSlyLNM0AgYEUv+Zi+Hc9vP8YhoUkSQUuGfhWM7F9Y7F7\n0iNMklgdHqhV8oTWzCAtNnfkwljZ/8Ku6/5TjZBJJLh+QHLut0nDT3Ef8+EVf9/xLcdGsxNna80Y\n1KsYunwFWJaFmXct4zUZXFdamAePx8eld08Fbq8PFPyJWcQgk1LwhhXhjubmSAdmRFqbQTRWbbpU\nkI7xvCil6pprrsFnn32GpqYmKJXKDmWlCiaokEoo/OzajpegQgwjBnZGWScN1m49il0Ha3G62oxH\npw1C91JNpkUjEAgdiCeeeCLTIkQn5mw3KyreIllaOwDhF93kk2jwyF/LMGzCAXbSxX8D58Oyofgo\nIHphUIZX2DccmmGAQNiXlK9UtVG+tsJ3PxKtIGZBTJXd5cWxC03IU8gwpK8wg1pjixP5Shk0YVkZ\ngwoyywplFvsE0O2Q416M5SLSUhWpYATxZ570/75Y788kamhxQpevwKUGGy43he7peBad4CoJRaFI\np0qpUvXjGWGNu0RIpRJ4fZH14sIfvaBVWazSHU5wL/7tfqyqCQPLi1rdZpB0POei3P9qa2vx0EMP\nYfbs2XA4HJg3bx5qamoS7seyLF5++WXMnj0b8+bNQ3V1ddTtFi9ejFdffTU5yduJMzVm1BrtGNa/\nFDpeBhiCkK56NRbNvx5jruuGGoMNy97dj10Ha7IqsJJAIFzZvPvuuxgxYgQGDhyIgQMHYsCAARg4\ncKDo/Q8fPoy5c+dGLF+/fj2mTJmCefPmYd68ebhw4YLoNp1uGicuNcdc35Y3ZCILWLKvX7lUfNrj\naMcDxLn5iHabAnDqUjPcgVpU4ZsGh1Rmm39weeJCE3440SD47giTQIQGebI4lqdwmdL1Gbtssvvr\nKgmUKpE7h2+XgU9t0G3R6aHDljM4X2fG0SpTzH1ZnlZFgYoaj8Tvi2TjXlI19hDcS/zYN1aoekXc\nM7zfQYUFALyBDI3BZ81oFmbzizchEjwiRfHd4hKcgAhaMwkT7fmJpowGrbCtnTcK7se35lqdHlid\n8TMeZgpRlqrFixdjwYIFeOWVV1BSUoIpU6bg+eefx9///ve4++3cuRMejwebNm3C4cOHsWLFCqxd\nu1awzaZNm3D69Ok2F29MF7t/rAUAjB3WcZJytBalXIp5Ewfgmt56vPP5Cbz31Wn8eMaIn08cAH1B\n4joKBAKB0BbeffddfPzxx+jWLfmEQm+++Sa2bdsW1RPj2LFjWL16NQYNGpR0u1WXLXHXt8W1LNaA\nKnxwI3ZAI5VEzj4DybkTihnMxtuC9jGQSChIKAq0j0Ez310svO3AedUabdDzZu4ZloU0SiwHy4Ys\nHVL+LHdY/0QOMlOvsdA+xh9XBAiyvYnWqbJgwlJMVstYllgmLFFIolvU50vufNuSHCKW0h9xvq1I\nMBIkaCkNf97CszpGOxyVkrQXIdze5FLxn6s1c0ld+ES7Hdoaj0iFJacJkqzM0UhHeJ6oaanm5mbc\neuutAMClmuUXQ4zFgQMHMHLkSADAkCFDcPToUcH6H3/8EUeOHMHs2bOTlbtdMNs92H+yEd1L1CRB\nRRIM61+KZQtuxDW9i3GsqgmL3voe3/xYmxUfAQKBcOXSp08flJS0rpBjeXk51qxZE3XdsWPHsG7d\nOtx///3461//mlS7iYY/0V6LDU0OHDlvavWAJJjhLllivqMTuf+FuTqJOFDoJ284yrAs9p9qxA8n\nGmC2eyKsE7EsVUAoJTUQSmwRLhsLlmtTFs/9L+xIqfp0mcwumMyuiOvq9vAGiKLjdIR/x9uryeLC\nvuP1cLhSO7sfS1S+bBHXMLCOQZj7X4IHJXxQDURJ1iE4UPz2xCK0evKXI8xSlcQFAVDdaBXEUnHH\niOv+x7P6BLPi8Q7UbHXDZI4s3h1OY4sTVp7roCdeP0bBYI6sZeeXTyhr1WVL6Di8dT6G8WcPFGFt\nCiaTCL/W3hQoVekwQYuyVKlUKtTX13Ma4/79+6FQJHaFs9ls0GpDlY9lMhkYhoFEIoHBYMDrr7+O\ntWvX4vPPP2+l+OnlX4fr4GNY3DasO0lQkSRFWiWemjUEe4/U4/2vz2DDl6fw/fEGzL3jKnQr6Tgx\neQQCof2YO3cupk6diiFDhkAqDQVcr1ixIuG+EyZMQG1tbdR1kydPxgMPPACNRoPHH38c3377LUaP\nHi1KpkR+/8eqmnB1RTE3eACAqnq/dcvhoiNiUvjEUoIu1FvQqShPlHx8YulDyQw9LjXYYHV4MbR/\nSczYJn57py61YFj/Uv/xeQKcuNiEvt0LYu5X1kkrWMcfZDFxBsLBWCShpUooJ98iwEZ1akqeZqsb\nZ2pb/H/UAvnK0HWlGQYqhQwuDx1znGdzeqFSSHnKYOwYnnDO1/nvpzM1ZvTrUYh8EYWgxRDrmGae\nddHHsJDztg/2JsuwImL1QuvpMEtVdaMNtUYbIJMi2hPCpiiReSzFiUV8N9bwuyZarN+lBiskFBV2\nvya2VEkonq2Kt/mpar+bsb4gdlyU0ezE+TozlDIphkZ57hIRf9vQOovDK4jR5O9mbHGhyer/L1EM\nV9BNMqKEQAoeynRM84t6shYuXIhHH30Uly5dwl133QWz2Yw///nPCffTaDSw23kBeAGFCgC++OIL\ntLS04Be/+AUMBgPcbjd69+6Nu+++O26bpaXauOtThY9hseeny1AppJg6ui/ykyj4214ytpb2lG/6\nOB1GXV+GN/75E74/Vo8l7/yAe27rh3vH94cyTpYZ0odtI9vlA7JfxmyXD8gNGduT5cuXY+rUqSmv\noTh//nyuoPDo0aNx/PhxUUpVaakWRpsXPiq+U4gyXwF9QUgJ0mnNAICCwnwU62K7TitsbuhM/lnj\nkhINdNpQGwWF+dAV5IGmGRQVqkXdK9o6a9TYlaKi+PuzMil0Zv9AmgaQl6+AVpcX87tp8zKwuPxK\nkCpPwbXtpRno6qzcdnlqFXTa0Iy6Jl8OSiqFOk+O6wZ2RnWDFWanP56nsEgNc6DN4mI1d2yHywtd\ng9+zprAgH3aXF3KlHJ066bh2fRIJjNbQcQoK8uCkWW7AW6LXQKVsmyLiASW4PgCgU4TaLNIp0Wxx\no7AoX9DXpaVauNw0jlebkaeSYURgEKoz2CHjZWssLo59jTS1Fm4wfMFgx+hhPdp0LhwyGXfd+cc+\nXm3mzrW4WAN1YGLAx7DQaf0KnjpPjqKifDQ7aJSUaODy+NDsEMZmFRaG+kKicELX5OSOVW9xQ6fN\nw7kaM342pBunJAefnZISrcAamQx2pxe6Rv/YtahIjdLARLDLTUMXSDRRVJQPRiIBFchAUVKiEdzv\ntI+BThu6l0v0GkilEk4+ANAXqPwWWZ4VpqAwP+Z1lCld0DU5UVyshkIuhdHmRbFeg9JAsepg29H2\nDy6raXJCp82DXCbhllFyGXQtrpj78vHSDHcNwyksUkMuk0Iuk0AakJWTnXc8mpLAZPfGPB6/jzp1\n0sLijrRK2TxMTFl/OFYPpVyKIQGlMRZ2muXeQ6lC1FvCZDJh8+bNuHDhAnw+H3r37i3KUjVs2DDs\n3r0bEydOxKFDh9C/f39u3dy5c7mA4K1bt6KqqiqhQgUABoM14Tap4MczBhhbnBgztDvsVhfs1sQm\nVcB/g7SXjK0hU/I9OnUQRlxVir/vPI0Pd57GrspLuH98f1zXL9JVh/Rh28h2+YDslzHb5QOyX8ZM\nKHwKhaLNGQDDZ89tNhumTJmCHTt2QKVSYd++fZg5c6aotgwGKywWJyzW6O4yQRobrWA8NFiWxYV6\nK7d9Q6MFPrcXTjeNY1VN6NejAAUaJbefxe7htm00WAXHqW+wwGJ2gmYY5MspGFSJUyW3mB1R3Y9M\nCgnUstiz/iZz5Dk2GqyCWCE+TU12WKz+wZ3F6uTuYy/NCM9BCsHfwd9apRQGgxXNzXZumUkhEfSF\nmqdUBZfLKX/xXwlFCZ6d5hah/ArKfyypRAIfw8BgtEKlaJtSZTLZ494HcoqFxepCk0ICjdyvDBQX\nq/19FbjOFitgMPgH+C0tTkGNoKYmGZQxLpHZ7BRYTlL13jCZXdw5Bdt0eWjBeTYarJy1lfaFrq/H\n5QVL+7c1mexwe30R/ZMno2AIWNXCj2VuccBi8ytWF6uboA0kEuNv01qlyuEKnYOpSQ4Z61d6nO7Q\n8qYmKVqsbtgDLpUGg01gAeSfa7AfZFKJYFmejILd5hbEB+XLKRiU0Z/VFpsbFqsTzXkyyGWSQN/Z\n4Ha4ub+D5w74rUoHTxvQr5ceBSopWJbF5UYrfAwDtUrObRftOsbCS0depyBff38BgD+DoDkgaxCp\nRMK13cJ7X0Q7nuCZb1HEPN7ZCyYUqCN1kQajv81uRfFj+U0mW8J3c7KIekv84Q9/wJgxY9CvX7+k\nGp8wYQL27t3LxUytWLEC27dvh9PpxKxZs5KXth3ZfdDvBnLbUJKgIlUM7V+Kgb2KsO3/qrBzfw3+\n8s+fMLiPHveP74dORfmZFo9AIOQ4P/vZz7By5UqMGjUKcnloQH/DDTeIbiPo6s3/Vj399NOYO3cu\nlEolbr75ZowaNUp0exLeuO76qzrB5fGhptEGD+2Dw+0fFAfjkKxOoctMMDi/xmADzTCoumzFdf1C\nSpVA/QnTheLFm1gcHjRb3CjvIlR8Wx1UHmU3UbFV4c2EHd/QEhrwBF3xAEAXZSDF35V/bCbMRYv2\nMcgLtzqFJ6rgF6VFalyNEhFUAILHOldnxvFqM8r0eVHdlCJTeMduO5XFTePJAPjdOfkIrgXvt8tL\no74ppBQmjj2MfQ5urw/hUzhtu2bC5CZRZWDD1iXo42jyyKWSiKQTYupUSQTZ/1gcPmeEjPeiCSYH\n8dA+0AyDWoMNBWUF8NIMF5smzIqZjPtf4m1oHxNR8y6878RCURRkEknUVPrtUQg6WUQpVWVlZVi4\ncCGGDBkClSqk+SWyLFEUhaVLlwqWVVRURGw3ffp0MWK0G/VNDhwNzAqWdSK1llKJSiHDfWP74dbB\n3fD3r07hp3MmHL/QjDtv6ok7byoXXXiOQCAQwjl+/DgAf2KJIBRFYcOGDaL27969OzZt2gQAmDJl\nCrd82rRpmDZtWqtkCg52uharIZNKoMmTYEB5EYwtTpyt87u5BF3uwjOcBZd7vP5/FfKwmfcY6Z6B\n+ErV8QtNAPzuR0Ergpj6OLGIdqTggKfJ4oLZ7kFF15C7XbL5MIb0KcGR8yZuvSrwneDHOguy/MUY\nyLMs688MKLKOVipDqRON/8JlMrT4LXkXG6yRSiBiZ1S3OjxoaHKid3ed6IKr1Y02uDw0+vUohMPl\nxU/nTdDmK3B1r+K4+0U7pfD06uEp7aPBT7wgaJ+3ffj9ye9PtzfaHdj6ATd/T7vLCx/DQCqRCBX0\nsC0TpeEP3lPhMVThCo2YRBVAqLuCSitf6QjWiwpXCPlxaYK+jXnESKIWbw7jTHVLRA2t4HkxLIv6\npuj18KJBRc+2D8CvXJ640ASdWsHVRU1G0UrHZElcpaqhoQGdO3dGUVERAH8NDz5i3PVykS9/uAQA\nGH99WYYluXLpXqLGf80ZisqTjfhg11l8svcCvjtajznj++F2EidCIBBawcaNGzMtAkdwsBP8bhfp\nlIL1JYV58AbSalcbbOiiz4/IcBYcBAXdg4KTTnaXFxa7B/lx4nzE1Ytq3Wx1lIYiFl1qsCJfKcPp\nGr/loktxPqccxJrVj7VcpZAKBqNB5ZI/1uKfL986Es1SEq5shFsLQrsEigvzxKo12FBtsOH6qzrx\nrEssTl1qAQtgYHmRoC2HywuJhErYv1xbYX1gc3pjpK+O3t6xgMJcqFGgpDB+shKGYVFVb+EsgmUe\nGj+d99eWsoooLCvmnmEEVsPo24frVBqVHDaXV9AXERYj3oJgTJLwfk4omigMLU54PD4M7FUc8bzE\nH79HtyQGE1YwAQU/IoujKEsVfzIhcjuGZSEBFZFIg/9+iaXYNVvdyFNKY7q7BpPoxCNWUWKWZWG2\neQSZOsUQK1EcGziW2eHhlKrWWMhTSVyl6rHHHsPWrVuxYsUKvP3223j44YfbS66MYbZ7sPdIPUoL\nVRieIMiN0DYoisKIgZ0xuI8en+y9gP+trMZ///MIfjhpwKzRveMGaBMIBEI4+/fvx1tvvQWHw+Ef\n9DAM6urqsGvXrnaX5f8O1aJEIxfMUIdTqFFytYoampyQhtWrClqbPIHit8GCm0cCA9+evAx44Rnr\nBHWAYjhX8Qcr8QZziRS0aGsdbhqNzSH3vXiZ0uItLy3ME8gpoSjub6F1Krq8/MQbwQFXeEbG8EsT\numah9lweGiqFDNUGf6ICq8OLIq1fUb5scqDFHn0GP6ik9CiJ7/USvLaJlIHGFidqG22R9cSScuFi\n0WJzw+GiBS6WjjCXrUTwjxirHlXw3gX8MYAx4e3Lz4TJyRymMDFR1gnkiX2khIR3Zaj+WfiG0eWL\n1kZQiQJC1iq/bhiuVcWTi2dBDd6bUZQIlusPoULri+HyxxchmEEwmJXP6aZhcXhQWpAXM5Mp3zU3\nHgdPG6LWwYsHRVGxs4jGUCj5WB0eyGUSqBQyOFw0ztWZ0aebDvkqeVrcYuNG8fE7/dNPP035wbOR\nrw/UgPYxuGNEz4SpcAmpQaWQ4d7b+mLJwyPQv6wQ3x+rx0tvfo//razOSp9ZAoGQnSxatAjjx4+H\nz/zB+HQAACAASURBVOfDAw88gPLycowfPz5j8tQZHXHHukpFyN3Zx7AR77vwAUh4W8JZWf/voBtZ\ntFeny0MLBs7xUjkrZOJdsWO9p/mFe8MHxdGIZvmQhyUb4A+wXJ5YadQTKFUJ3OI4BTWw3YV6Cw6d\nNeJSQ/Qgfn69IUZgJeO5ZMU9IiAX2d/n68xw05EZy1jEvg7h1BntOF3TghqjsN5ostYdMYoy39Ur\nppWDEqr9XIIJvtISZvES1I8K/g63ZsWh1mBDk0VcAjLA7/YWrogkGycUPIdwV0+1So5BAVfLeBMY\n3N1EUdxESbRrzrB+Bflifeh+ZVmhe3HMWLEwztWaUXXZIlC+w0nkThskWYUqSKzHVWB5Y1j8dM6E\nOqNdsP7YhSYcOmsE4H+O7S4v1y/pcP+Lq1QJZ7Gu/MGt2+PD7oM10OTJccu1XTMtToeje4kaz90/\nFL++9zrIJBTe//oMlm88gFpD4kLTBAKBoFKpMGPGDIwYMQI6nQ6/+93vUFlZKXr/w4cPc1lp+eza\ntQszZ87E7Nmz8dFHH4kXiArNFkcbd0goCkP6+DOg+oPIw5QqmoHTHV0JAqLHqwQnA9kog61DZ434\n6byR+5umGTQ0+a164Z/4Hp00nEKT6PN/MYayYRcU5I0+S84n2tKgAhQcjvAnO/mDLeGgO7ScH1sW\n3CZ8kBZuYeH6ObA46H5XZwoN2Pjn4OJdI/41pOnE5xwkL5DxrdXJQiC8DmfrzDhfZ4laYDZcmYol\nY0ILJV/J4JR64bAyOOCOlqo/SLj7X8gVkn+ssN/8vxmhDOHbR5O72mDjXFOjrQ/n5KVmgVLSbHUL\nlNs4RiyuzWC7QYs0C7/1igI4V9549wlnQeUti3aNWJbF8QtNsPDc8FiWFcS7CSYhYhySYVnOVS88\nVo5PvDquXYvVcd2UEz0XDBPdAhpcF8ThpuFwCxP9CIpqg3dPUOKswq1BdL7JjlD89l8/1cHuojF2\nWPe4NZQI6UNCUZhwYzmW/+Im3DioM6ouW7B0fSU+/e5C3JcygUAgKJVKtLS0oKKiAocPHwZFUXA4\nxAVFv/nmm1i0aBG8XqG/P03TWLlyJdavX4+NGzfigw8+QFNTk6g2KfA/3NG/oUFXJ4/XFzHr7GMY\n2HnxNGzYK5D/TgxXqsQMzs/XWVBVb0GNwR6xvVImwdUV/tnzcDcZL81wrlwer7g6L74wS0M0oi0O\nDT38P/hWph6lGnTTqwP7xrJURR43kRdKuPtfImJZyfgz8y5P7H66/qpOIRfN1g702MjkJI0tDpyu\njq44RCPiC5uELJyxiA2/h/1/1xpCCqk+3LU/rJ859z++pYrXbkOTI0wpYAUyiJU1WfjJIILp7OXB\nIuMJ3Pj8lkT/b27igw0mlaC4+zyebMFnjr99tBgihkFEtjyXx4ca3gR1vGQZQS7zrD7OKLWiguTH\nSAEP+JPhREu0Ejp2+N+R78BYz2Eiw2yTReiSy7lPBv9ub/e/M2fOYNy4cRg3bpzg99ixYzFu3LiU\nC5NJfAyDryqrIZdJMHZ4igrjEVqNTq3Ao9Ouxq9mXAt1nhxb95zH7zbsR00jsVoRCITo/PznP8dT\nTz2F2267DR9//DEmT56Ma665RtS+5eXlWLNmTcTyc+fOoby8HBqNBnK5HMOHDxdt/eLPRcaal5RJ\nJZBQFGgfE6Fs+Hws6DBlxMubHecrVcGMflKJ+FnY4MDL4vBEHFsiCbkYhbd1/EITjl9sgt3lFVjS\n4uFjIhXAcKLOugf+DVmqQutkUgl6dtaCAiUYYAmsVlGSVkRaqoR/B1Pdx5tMjuX65ovhetgUo9al\nXqfyW2YCh2q2utEQlh1Nr1OhWBs/xphF9MFxePKTuG0kaakKT1fP/5fbJrARX8Hs2VnLKcMcvK6W\nySKTdvDbrTHa4HDTnIId7bxTESPYqVBY6sVsi7T6lRT4r8v5y0LXxvABO8uGjivlWUpYsIEMd0Hr\nVXQcLhqmgLtiLAst/9jhLq5Bq7FcKuFqeiVSRlt4Vs5Ykyc9O2m5JBHRkEmpuM9Rolg0n0hLVTTl\nMtwiG9ykxe72u/KmwVIVN1HFl19+mfojZik/nGiE0ezCbUO7Q5efuLAxoX0Y2q8UV5UVYtPXZ/F/\nRy5j6fpK3D2yAhNv7BnhZkAgEDo2kyZNwsSJE0FRFLZs2YILFy5gwIABovadMGECamtrI5bbbDZo\ntaGEEGq1Glar2OKpoYx18Zw9ZFIJvL5I9z8fExlcfrEhNFDgD1SDrkh8S5XYMQNNMxHp3KWS0Gx4\neENBVyC3xyc621YsRUdAnKaCokSLh6KoMFfDaPE2vN9iU43H2ypqTE/YbzpOWvtQOwjIFNiHYSJi\njyiKQq8umqiKWb/uhThT24LLpkhrY7JEWg2S2cHv3hYc0KsUUri9vHuat6lcJkG3EjXnTul3/+Ml\nqohStDfauYXHDwo3SexGl4jwhBnR+t8VfBa8PvgYBqcvtaAzL9NlEIZlIQm3JnNKPhVXQbS7vDEn\nlKPGVDGsPwW8L6QIBScKKrrquPgohmEhkcbOTKlSSGEN6PdOD43GFmdESvhuJeq4CU5kUknUd1+w\n9hTDsADP0BX+PpHG2D8oP7dfAk8m2scIzrPOZEdJQfzsmK0hrlLVvXvHKHxL+xh8/K/zkEooTLyx\nZ6bFIYSRr5Lj4ckDMeyqUrz7xUn889vzOHjaiAWTB6JbiTpxAwQC4Ypn9+7d6Nu3L8rKyrBz505s\n3rwZAwcORP/+/SFpwwSMRqOBzRYa0Njtduh0ujh7hCgoyIMmXw63Dygt0UIVww1Gb3TA7fFBp1Mi\n3MtGrpRDp/V//HU6JRQyKTy88YNOK2yzWKcCJZWioCAPHtZv7SosykdpqRY6rTnq8fNVMhQW5UPX\nFApGLy3VQiaVQFdvQ0FhHgqL8mEyu9BFr+baKSxSw0v7oLMKZ/AlEipisJevUUFbkAeVQoa6FheY\nwDXRafNQGiijIVO6BDIAQFGR2i97gw1ujw8FGgW3PdcHtRbB8QoK8rlt6i1u0GHqkV6vEbQhU8qh\na3ZFyK5TKyCJkbGuoCgfpSUasCwLjSbUr0VFahQGsgK6GET0Te/uBWixuuH00HC6aBQW+s/fS/ug\nuxw5cNZp86AvVqNrlwJ0Mjkj3Ai7dtGhwZK4dpAYCgvzobOHlFN9iSZuKISdZmF2+QLbaiGXSqDT\nWlCkU2Jw31IcOt0Is82DkhINjDYvPIFL1LmTDj6Gha7OPzlRUqKF2+PjzqNrFx0ut7hQUBC6N5oc\nXjhp4T2lVEgDz40KpaVaeLw+6C7729TrNf4BvYSKOAeXh4ZO6+9rRZ4CBRphuQO51Q2dyYniYjWs\ncdzeAKCwQAUf5b+XzzfYwUqlqDe70bOLgntuAcBHSVBjsPuvZ1E+fJQEusAzWhSQv0BnhjY/8v4+\nfrAGoCRcexpdHlQK/3F0GiX3LHEyFalRbPfCyVN28vKU0PmAbl0LQFMS+CgJSko0kMukMLt9sHmE\nSklpqRYNFrfgfWS0eqDVqgTKa2mpFk43DR3PvZNPl846OH2IeK+pFFK4PD4U6zUCBdR/bfJQpFNC\nX5CHrno1jpwzAtLI+7CgMB+WQMNNDq+gv8MpKlZD1+SEnNcnBQV58KQ4qkRU8d/WwrIslixZglOn\nTkGhUGD58uUoKwvVftq+fTs2bNgAmUyG/v37Y8mSJekUJybfHqqDocWF8cN7oDRBXQdC5riubwn6\nLrgR/9h5GvuONWDJO5W4Z1Rv3H5DGcnUSCB0YN566y18/vnnWLVqFU6ePIlnn30WL730Es6ePYtV\nq1bhpZdeEt1W+Kxtnz59cPHiRVgsFqhUKlRWVmLBggWi2rJYnPC6vLBYnTCZbDGLmztsLpgdHjS1\nRA5MLNaQkuHz0tDlKwTLwpGBhcXqgoICLDY3fAyDfDkFg1Iacz+vW4ZGuUSwvqnJDglFwWJ1QgYW\new02WJ0e9OlWwG139HQjirTKiHblAcsbn6NWJ46eAa6p0KO52QGr0wOdNg8WqxONjRZQFIUWmzui\nrSalFGoZBYvZCTftA8UwMBiElkLWSwuC8pVSoEDl7+vmZgcsdjekEgnnCteiksIgC30zzHYPd1xd\nvoJri/X5YtZrMhplkLP+jI18mc9cMKJXF7/S3WiwRvY5rUaXAiXMdgqnjDb0LMmHwWAF7WMitg32\nT76cgjFPhl6d1DhbYxZYTJqa7BH7dS7KFwTsi+XQSWE7hkarIENlOPxj7/x3Fa6uKIbF6oQkcI2s\nFhcsdjcaGi1oaXFw2xoMVrBsqN9MJhs8Xh/3t9Xs4O47g0EROJYj4jxVchlU+QrUNVjRWacUXAuD\n0YajVf509sH04EGcbprbbs+BSxHrg/dDs0oKlvbB6oydCr5PFw2qaiKfq6NhsvJlz5NRXD9Z7G5I\n2UB/WV3weWjU1rUI3hX8fSUUBYnPB5PJBYvVCcZLR9R92vtjNfKVMs46pdPmwdhkh8PtRXOTHRaL\nExarEw0N/usb7R4yGKwwmGxwuGiUFOShsSX6/WQwWOGlfTHfLUajDV6XJ2I9rZTD4fbCYBAWtw5e\nmzwZBUWBCiaTDfWNVkFqfq7tQD/GQ5Mnh83pRWOjFS0tDq7mHxB6V6aStPpP7dy5Ex6PB5s2bcIz\nzzyDFStWcOvcbjf+8v/Ze/f4KKr7//81s7P3S5JNNiEJkEAAERRE1OIlEC+oSPBSiAXk8ilYq7Wt\nrdoqqFSqFsrH1n6s8ntY22+pUEVRKIqKShFUWiCioBDuxAAh5J7sJXuf+f2x2cnsZq/JbnYT3s/H\ngwfZuZx5nzNnZs77vC/nxRexbt06vP7667BYLPj000+TKU5IHC4P3ttVDaVChvJrivv8+kR86NRy\n3DdjLB6861JolDK89ekJrPznV6hrDj1LQhDEwGfz5s1Yt24dRowYgS1btuCGG25ARUUFHn/8cXzx\nxRdxleX339+yZQs2bNgAjuOwZMkSLFq0CHPmzEFFRQVyc3NjKwtdsRWRPM4UEQauUmwON+paIr/r\n/G5ETWa7qERE83YSADF2SyXnoORkUHCs6F7l9vCie93Jc11WGbeHDxikBMsQCktn/JaMZZHdGY8i\nLpQcQk6/kus3RIWaP/Nbhvw0ttlR3RnjEirpRLd1qiR/S5WISAOk+lY7nC5vN7e0VkuX1civnHES\nS4K/f2VoFbjq4jzo1PIIV/HL15WkIzcr+sRvLB4c0pT5WUGWGj/xZP/jBQGnO1NVB2dqDOWiFhwn\no5K0OxPCFS5kbBjjK9vL86j6riVmd9d4vCQvLsqCRhn+HinlspjdSf34j/evbeaVuAFaHW58dbwR\nu6vOh0z5funw7ACXOlsY17uOoFhHf3yfTGK563B60GJ2hI9x5AXIWAbF+fqIFstoiexCLSTsz4DY\nLaNpCBfdcEnKYnF39fdz/7pgySaplqp9+/ahtLQUADB+/HgcPHhQ3KdQKLB+/XooFL5ZCI/HA6Uy\n9IOdTD7eewbmDjfuuG4YDFqKpeovTLzIhFFDMrDu42OoPNKA3/y/vSi/phi3TSrqWuOCIIgLAoZh\noFb7Bpt79uzB3Llzxe3xUFhYiPXr1wMAysvLxe1lZWUoKyvrgWDRs/8BQFGeHl6vEDaZQSgUnCxg\n9lYl5+DyeJGfo0GTOfLsbTBeLy/GJAzL14vuUP7mCzdT7/Z60dTe/VpMBM8BTsb6FopFV/ptLy+A\nk8WYTjpE2aG21bd2YJBRA0EIXDAYCKH0SX4GDB4lx2UbVDBoFGK8k8PlwdcnGpFj8PU7o16FFotD\nLNvL82IqdqVCBo+DD75UYB0i9NXANPKBx4VaIyiWdYOyDSpRQc/P0QasKRYL7TZXQIp5oGuRXL+M\nfjm8vBAx0xrD+Nz8s3TKkANwAHCFiE+TVrPD6Qkb5xa8MHGwLLVNNni9PPKztb44KkmWOJZlYNQr\n0eEMtAb5rh+oGEitoZEIvj9+5Tv4rh0724arRucFbAuO84o1ctIliblUdyqw/oV+w+HlffFxvhg5\nrtsEin+yIPj541gW40fkiL8V8u5jMn+yju4ZT7s/5/72zc3UQBAEqJQczjRYwsZmSu+Dv72On2nv\nZu1KxlJRSR19Bgf4chwHvrOiDMPAaPSla127di3sdjuuueaaZIrTDXOHCx/uPQ2DRo6brxwS/QQi\nrdBrFHjgzkvw0+9fCp1ajn99Xo3lf6+MK4UsQRD9H5lMBrPZjPPnz+Pw4cO49tprAQC1tbXguKTO\nHUaWi5EOhsMfx8lYDMkNzKClDFoMVh4UUxA8c3xxcRauHJ0bdk2YSLO6bi+PM53plmVBk1I9WV6E\nZQITDwTLwQu+QZM4W905OJIuMKpRctCp5Rhk9GVgU6u4sPKEUyLcHl9GRSZocdlgpU/6S5okQXqY\nRiUXLWtS/AqsjGWgUXJiWnOX2/e/WsEFZEgMp+hHcmGX7go+Sq3kUJQXGIMTbWKxIFsLThZByezE\n5eFDKgntNhcO14RfViDYUuXlBTFzXcjjO/+/aGgWigbpQz4rNocbSrksKJFY4IHS9PnSxCtnJEke\nnG5vt4yVZxosONdsE5WMrnkQJqA+wRiDUsOXFBi69ftQz4FMFrrAUH3j0HeB7ey/tz0NeJCxTMyW\ncZ7vuofSZ8yUqUZOhhpjirMAdO8/DMNAzrGiQhOqP/ozPFZ91xqQWdC/vl6ox0GtlKGkMAOqzndA\nuD6lltTP/zz7U+AD0jXBfL/Hdi68nAiS+rXR6XSw2bpmMnieDwgYFgQBq1atQk1NDV566aWYygwO\n4OsN2z46AqfLi/+ZPgZDB2clrNxEypgM0l0+ID4ZbzHpcd3lQ/CP96vw4X+/w8p/foXJEwrxw/Kx\nyElSjFy6t2G6ywekv4zpLh/QP2TsC+677z7ceeed8Hg8mDVrFnJzc/HBBx/ghRdewIMPPpgyuaRp\nrqMZzdRKDpcMy8ah6hZfBrWgUcWlw4346nij+Fspl8EfTjCiMCNA2ZDGBQH+9XAClap8oxYdDjfs\nLm/ADG6w0jI834DDpyPPaAfDMAxYlgnI5HXRkCwcPdMKnhcg8L400v6BWqvFCafbK1pLDBoFRg3J\nDBiMXTQkEw6XF1pVCFeioEB9TWe8hpcXRKuYdMCq4MIrHdIBr/QcTsZEtCb5BpIydDg98PK8aFnJ\nNqgCLDqR+sGlw7NhtbtF18VQchi0ChTl6dHYZhfd/PKztcjQKgMWdg7H0Fw9CnK0AWnbw8l0uKYF\nWpUclw7PDth+pCZyf/DL62+vb081Rzw+WN33n+9webG76ry4XSmXYVi+AQdO+uoZbKk4VN2lgEiV\nwXPNNuRna8DzwNcnGhEOq90dMpNdOEV4eEFgwhqFXNat38tYJmBZBKC7Ap1v1HZex/dbLpPB3Zm5\nz+bobiELODgIf1a9cDAM0y27ooxlwTLoFgfJC4I4Zpc+F0pOhsG5kdOoBzMkVw+Phxeto4OMGrRZ\nnPDwPL4+3oTvjfFZ5Pxui5Es0tHepXqNQowzC2U1l3MyQGLZ1MbgghsrSVWqLr/8cnz66ae49dZb\nsX//fowaNSpg/1NPPQWVSoXVq1fHXGZwgGpvyM9S44bLCzFxRHbCyjWZ9AmVMdGku3xAz2WsmDIc\nl4/Ixj8/OYbPvq7F7oN1uPWqobj5yqHQhPgQ97V8fUW6ywekv4zpLh+Q/jL2pcJ36623YsKECWht\nbRVTqGu1Wjz77LP43ve+F/X8aEmV1qxZg7ffflv0rvjtb3+L4uLiiGUyjC8OyK/LhLPcSNGp5VDI\nWTjd3m7WF/96Vn6LU7AbkJScDFWQUiWgWZIhLt+oRdEg3/2p+q4lQKkKLjd4cDNhpAkutxdHT7eF\nHbwx6D6T7q+PzeER07/7rWKnGwL7cU6mutvsNidjoVOHrrN0wGfUq5ChU6C6zg0vz4MXOgfFEoGC\n6xioPIW5BstEtiaxvrigdptPGfAvnBrK9SkcWpUcWpUcMpbBidqu2LXgQWp+thb5Qes8xZrg0l9V\n/zcxJ0MdsW/aHG7UNlrhdPMYXmBAh8MT1eXMX1osbohA90WLWYaBgpOJqfv9ZOmVAW3hdHuhUHUN\niKVyBafm3nesMaZEZHanp2vwHqKs8SU5olIXrGTLWAYsA0idzGQyBsGei9KzivL04r30F8fJGGiU\nCtGd0k9hTnhFxo9CLoPH2XXB4kEGtNgCFTNp/9eq5LhkmBFnGqzd3Dl5XghpqQpnafMT6hkqzNHC\ny3cpVQqOFd1i/fetxexATb3vXSCd3FHJOTjcHtE1NJySm6VTIlOvhClTjUHZPlfBtqC1xXIy1KKr\ns9vLg4npzRw7SVWqpk6dil27dmH27NkAgBUrVmDLli2w2+0YO3YsNm7ciIkTJ2L+/PlgGAYLFizA\nTTfdlEyRAhg7zCiuGE8MDEoKM/Dkwiuw65s6vLPzJN7d9R3+ve8sbv3eUNw4cXBYf22CIPo3eXl5\nyMvrij+YMmVKzOdKkyodOHAAK1asCJjsO3ToEFatWoUxY8bEXKZMxsJpdwOdA5hYw7v8cQuhlBu/\nQqVRcgGDy+BhQfCgprHdjsbO2Kdsg0pUqADfujWHqlvg4XlxUdCAegSN1uUyFkq5DNkZKtS3diDf\nqO2WPINhmID65hu14uBMGoMVrk3iTeYamAiiy+3Sb6limcDFSyNZqqTtLh00+9shN1MjZkIryO5a\na4llutyqvj3VDHXnt8agVSBDqxCtcLEkNcjJUCNTp8SxzpTjscQJx7z2Vudxeo0CV1yUCxnLdEvT\nHozfNZRhEFNWQdFSFeJGShNkFOXpca7JFjJZh0bJdYuByc1SQ8ayMGWo0dhuj6jcOUPUqaktesyi\n3eWBtlNR8zepP1GCXOZTBOQyGUyZXa5//ng6ZaelSqpV+fpNcCxP19+ZkiQhfsWFk7Hd3HDHl+QE\nZMkLd7d1arkY/6VRciHbQdqfcrPUYBimmwLcYnYELCIstW4Fy9a9/NDSyYIStmRoFQGWuHbJ8gXS\n7IcXF2fBbHMhI0reA5mMRV6Wz13Yr5SxTFeZwwsykJOhEi2aHU4P5DJZ3LG3kUjqCJNhGCxfvjxg\n27Bhw8S/q6qqknl54gKFZRiUji/AlRfn4t/7zmLrntN4Z+cpbN1zGpMvK8ANEwaH9I0nCOLCJFJS\nJcCnVL3yyitobGxEWVkZ7rvvvqhlqhQytLg98I8ZYv1w69UKX+rywgx8ebQBgM91TopBqwhKXhBY\nhlrJiQuwBmcBCx58q5UcrhidC7fHG3KwFGwB8Z9elKdHbpYaWpW8m1IlCEKAK9GQPF23wd3wgoyA\nAXawTPEgtQYp5TKxHjzvy/jFsgx4yRpHwUqK1I0sQOGSNJV/dn54gUFUqqQDP5ZhAuLZ7C4PFJwM\nKgUXcC97Mn6LNogFuiswOpUcVocbpkw1mtsdIReh9rdDrAqZVKHK1CrF7HXB+IsLHqjnZWkCFPpQ\nFjc/SoUMkHSrwTm6LsU2Sy1OElxSko3/7D/b7fxgqwsQOamDX0EOXgQ7QKbOTH8TLzIFbB85OAMC\nMsSkDlJCKRjS+MaAbJMSZVTaR4fnG7o/E5JilZxMtP5q1RzQGVZelKdHh9MDW2d8X6hJZb+yxAVN\nNBw76yvEfw+l1+dCKMt+RReAGAcZisE5OrTbXOBkDAbn6sT75OV5OCTvKqmlSimXBVgZw026hEpc\nIb0fms73onQSIZLFvyfQtD0xYFEpOEy/uhjXTxiMT748g3/vO4sPd5/GR3vOYMLIHFx9ySBcOjw7\n4Q8VQRD9i3BJlfzxBNOnT8c999wDnU6HBx98EDt37oxqCQunMETjoqGZ4HkhYFDlf0eNKMyAw+VF\nYY4Wje3hZ93VSg5XXJQLj5cPiMMCwit38jDyBluqpFYIrSp0LILV4Q5Yq4pB4OBSo+SQm6mG0ajB\nqMGZqGvuCMgwGK9SJW2rDJ1SHG/W1FvAgIFaKRPXqxmeb+jWBlL3LmlZAQpICP866ew9x7HdLC7+\nOgeWGZsCI1WSws38hzse8Hni+FPXF+Zosf9EU9jrx6vojSkyQq+RY8/hegC+eBkIQoBFK5RMfhfW\nWJB+lzVKDoWmLuVLq5b7LFaZKmRnqDGyMBPHa2NLUCVdv0mKKVONc802eHi+W/zhYJMOXq+AIXmh\n3e+kiVCCqxfKyhiYDEVyglRRkihbwQkxgtFp5HCaO5UqyTPJsgzyjBrk58nBu9wBsvmta/5U9qH6\nt1Q+qUIWar294QUGFORooVRETjE/OFeHwZ1/M+haU83u9Irvi7HFxsjjsjDlh0piI+2DXQkquu5v\nuHTtPYWUKmLAo1FxuOO6Ybht0lDsqWrAtn1nsO9YI/Yda4RayWHiRSaML8nBxUWZ0IQZJBAEMXCJ\nllRp4cKF0Ol8A6opU6agqqoqqlI1OFeH9vYO8LwQ0q0uHJyMBWTB23wDg5yMrtnawMyCoYO6ObCi\ncud3pYo1zkW8ThzHZ+mUopvb8IIMMZuaP3GFn9xOFx0Zy8Bo8MV/+ZWqCSNMca/7I0WvlgfE4gjw\nZf8bPTQLTe2OkMmLlJ2WLr1aAYZhxJl/qWIsHeSpFBwcLk/A7D4n89VxkFGD851JIIIV0ngIdD2M\nQaliGAwbZIBK2RV34u8jUvdQg6b7Ny5cjExelgaNbfYAy0pelkZcfmawSSdaEc5LE1+gexwOEDnD\nYTBSi2HRoEBFmGUYXDm6a604qaUy36hFdoZKXPhXKrdGxcGoV8Lp5nHqnFl0k5PLWFH5kVqq/NeU\ncyxGDM6ISe5uKe8lbetPRJKdoYLF7u7mhspLMt/pJfcplGImvUpuplrMhCdtc5b1Wc5MWWo0NgYq\nkiMGZ8Dh1ImxdeEUd791T6WUWo5CyMMwcU+GAF2xfR1OD9weASoFF/V9KW3ii4uM0KvlaGyzd1uv\nDujqc6zkHSTtz0ZDYpdyIqWKuGCQczJcNy4f1146CKfrrdhTVY89h+vxxTd1+OKbOt9HqUCP7IgQ\nbQAAIABJREFUUYMzMSzfgOJ8PbINqoT62xIEkX5ESqpktVpRXl6ODz/8ECqVCrt378asWbOilpll\nUOG6iUN7JZdB70tWUDAoo5sLmEwpR31n8onsbC2yM0IH4U/tTBjy7ckmOF1ejCnJjnvyyFDblY0u\nVAISv5yFg/Twdi4AOyjPgLrOGBb/OYZa376hhZniWlgmkx4OHuhwC5DJGAwuzIxLNj+llyvg5Xmx\nHRxeiBnu9FoF8gdlIH9Q+IGxMVsHjZKDTMbi+iwN3B4eZpsLFqdPGS3I7zq3LEuLFrMDeUYNals6\nXZ5yDcgyqKDVq9BR5bPgZBmUYt2vHu9LrR5PApeLWBZNbSoMLsiM6TsUrmyHywNDvc+KNKQwdKbj\nSQoFjp1uhcfLQ63kkKlXoqQwA7u+ORcQA2TK0YnXkV7Pw7BiQgSjUQuTSQ9WweF8uzPo3OjJFgBA\noVagyeorLy9XH3GgXViQiTPNnfchT4/BuXo4vD4LjkGrwPEzbbikJDvA2jJsqBEHjjWizerE6GIj\nTJlqGOos8AA43+6EQa/urEds8op1bHdC1qng5Bk1KMzV4asjDWAYoHhIVwx/bq6h27mqOgs4hRy5\nOVoMG5yJs511CnVflTYXDJ37hxVlw2TS+9Kly2WobvBNEOWa9OKzHq3fqbVK1LZ2t35nZWq6nt+z\nvvdA/qCMhI2LlBolmq1uKFUKaLVKaDXyqLJyFodY9xHFvsyUeXnd2xMAsrN1UGuVyM3SiBa2HKMF\nLjeP4YUZKDTp4lL2o0FKFXHBwTAMigbpUTRIj1nXl+DUOTMOVbfgUHULTp5rx0nJAEKj5JCfrcEg\nowZ5Rg2MBiWGD3WC5XlkaBQBJnqCIPonkZIqVVRU4OGHH8b8+fOhVCpx9dVXY/LkyTGV29vsjObO\nnOktLd3jQ8w2l7jfZnGAd3V3aZJSkKmCIAiwWRywxbHIMABkqGSia1eoOhVkqdDQaoeM50WZHDYH\nVDIG2QaleI5/X1urDS67S8xgKQcPDgIGZap73Wb+87PUHGrsLrg8XvBuT0zlOoJihGrrLaLMweez\nnduk98jTaflwOd1wuDxgvN6A81RsfH1ikEkPGc+jqcka/eAIuD2++8IyTMTrj8zX4XxLB3IyVJBz\nMrS02OByuAMsf2Y1h8YQloqWNrvYFq0KFo0KNqCPAkBbqxyKGBerBQCjVg670wO71dHt3vgxmfRo\nb7XBaXf5FqvtbPMcnU+ZcNldKMrRwNJuR3DNTXo5FIzvnOZma4CsANDaEp+8gK/f2azA0Dw95BwL\nh82JYbm+RYWj3XujmsOJc+0oNmnR3GyFQSWDIITuM1a7u6vvNXf1D6vkGWxpscEml8WUKVYQBChZ\niHFRfgYbu57JgiwVPJ7e90cp3k55/TIzvDKqrG6PF2aLHYNNupieJyUDtLd1WVILs9RoMTugZAQ0\nd7ZdorLVklJFXNCwDIMRhRkYUZiBO64bBrvTg+/qzKg+b0F1nRnnmmz47rwFJ8+ZQ56vkLMwaBTQ\nquXQqjhoVXJoVBw0Sg5q8Z8vWFmlkEEp9/1TKGRQdi6OJ+dk4GQMWcQIIkVES6p0++234/bbb+9r\nsTDIqOmWbtqPf0InU6uM2e2mp++YQpMOcrksbMaxTJ1SzGI2JFcPnVoOhmG6rePjp5vVjWUxakjP\nLFThYFkGY4uNqKm3IKeHiYmy9Eqca7ZheH7oegDwuRW2OaCTuGsZNAo4XJ6YEkz0BXKOxdhioxg/\nEw6GYboljhg1JBNN7Q6wLIPzzbYAtzQpGRJLkt8F0aBVYERhhpgePl6LQKSEB8Fyjx+RAwFCXC6X\nck4W4A4aHG8VnzrlQ6nwLVArJdbnMydTHSDP4AhWMq2KQ0G2NsAlGPCNaVRyDnI5G9fC3QzDoKQw\nAyWFGXB7vOhweqGSywImjqWZChOFjGXFdeWA2JKyyDkZvndxXo/fZ2olh8I4LZCxQkoVQUhQKzlc\nXGzExZIVtj1eHk3tDjS0dqDF7ITDK6D2vBnmDrcvFqDDhfPNHWIq5J4iYxlxLRS2MyWxPzUxAwCd\nf/syDHVlCJKxvkUnVQrfv6wMNbhOn2yDRoEsgxJGvQpGg5JSyhNEP6J4UPjBvFIuw4SRpojpwRNJ\nbowLqRfmhM7mJiXeuK6eolTIeqWs6TUKXDU6L6IyIFUo/eRnayBjGXFx3nQgnrg+KWolhyGdC71G\nurdKhQyTxgyCx8sHxADlZKihkMvQZnEmZVDux3ePetevLi4ygmGAr483wcvzIRcCThcYhsHQvO7W\nFYZhMG5Edq/iEuWcDBk9TLTTE8YUZ4nZMUPF/IUiXSehaYRFEFHgZCwGGTXirFk4U7rbw8Pm8K3I\nbnd60OH0/e9weeHo/N/p9sLh9sLl8sLl4eH28HB7vPB4BXh4Hl6vAJ4XOhcNFcSASkHwzZoJgm/d\nFZ4HPF4BTpcbbq8At4ePKYuNQSNHbpYGeVlqX1agbC3yszXIzeq+2CZBEOlNPDPR6URfKVWJoCfx\nFmolF5A6/EIi1HfEoFHA0EOlri/xJyO5uCgLJ2rbkWeMbSIh3eiNQpUKOBkLjmXh4fmomQ7THVKq\nCCJByDk25KxlX+Hx8nC6vVBplKg52wZLhwtmmwutFidaLA40m51obLXj1Dmz6I7hR8YyyM1Si0qW\nX4nMM2pCLsxIEAQRL6OHZsHp9qbtLDNBAL4FdC8bkZNqMS4oLh2eDQFCv5/cTapSJQgCnn76aRw9\nehQKhQLPPfcchgwZIu7fvn07Vq9eDY7jMHPmTFRUVCRTHIIY0HCdaWFN2VrI+PBWK4+XR3O7A3Ut\nHahrtqGuqfP/5g7UNXd0O16t5GDKVMGUoYbRoEKWXgmjwac8GrS+GUi1MrGrkhNEX0Lfqr4hVRNO\nBEGkNwMl6VdSlapt27bB5XJh/fr1OHDgAFasWIHVq1cDADweD1auXImNGzdCqVRizpw5uPHGG2E0\nGqOUShBEb+BkLPI6rVDS2ThBEGC2uVDX3IHzrR2ob+lAfYsdjW12nG/uwOn68Bl/OBkLvUYOvVoO\nnUYOnVoOrVoOncr3279dr1ZAp5bDkBlbADJB9AX0rSIIgiB6S1KVqn379qG0tBQAMH78eBw8eFDc\nd/LkSRQVFYkLKk6cOBGVlZW45ZZbkikSQRBhYBgGGTolMnRKjC4KXMtEEASYO9xoMTvQanGi1eJE\nm9WJdpvPxdDS4YKlw436NjtON8SWblUhZ6FXK3zKmManbPn+lkOrkosZFTUqDmoFB5WSg0oug5xj\nY45zEAQBHi8Pl4eHy+2LX5P+7fbHtXl9MWleXoCXF6DVKmGxOMT1WdjOJCIM41Mg5TIWMhkDuawr\ng6Pcn82xcxsnYyHnGMhkbK993H2xdL5FC/0xdR2d8XsChIB1ZILxJTqRJDlhOxcGZSnjpB/6VhEE\nQRC9JalKldVqhV7fFazJcZy4Un3wPq1WC4uld+tTEASRHBiGQYZWgQytAsPyIx/r9nhhtXtgtbth\ntbth6/zf0uGC1e6Bxe6C082jud0OS4cbZxtt8Hjje/Z9GQ9ZcZV0v47lT/Dh4QV4vTw83p4kxU08\nDONLHevL7til5ATDC5IkJbz/f6FHqX1jIT9bg+WLrur3fuy9hb5VBEEQRG9JqlKl0+lgs3UtWuj/\nSPn3Wa1dM9o2mw0GQ/j0sX4StUBXMkl3GdNdPiD9ZST5CGLgkIxvFUDPYSxQG0WG2ic61EbRoTbq\nG5I6PXn55Zdj586dAID9+/dj1KhR4r6SkhLU1NTAbDbD5XKhsrISl112WTLFIQiCIIhu0LeKIAiC\n6C2MIETyxu8d0oxKALBixQocOnQIdrsdFRUV2LFjB1566SUIgoBZs2Zhzpw5yRKFIAiCIEJC3yqC\nIAiityRVqSIIgiAIgiAIghjoXNjRyQRBEARBEARBEL2ElCqCIAiCIAiCIIheQEoVQRAEQRAEQRBE\nLyCliiAIgiAIgiAIohekpVIlCAJ+85vfYPbs2ViwYAHOnDkTsH/79u2YNWsWZs+ejQ0bNqSdfGvW\nrEF5eTkWLFiABQsW4LvvvutzGQHgwIEDmD9/frftqW4/KeFkTHUbejwe/PrXv8Y999yDu+++G9u3\nbw/Ynw5tGE3GVLchz/NYunQp5syZg3vuuQcnTpwI2J8ObRhNxlS3oZ/m5maUlZWhuro6YHs6tCEQ\nXr50ab++Itq34UIj1Dvq9OnTmDt3LubNm4fly5eLx7711luYOXMmZs+ejR07dqRO6BQgfX6ofbrz\nl7/8BbNnz8bMmTPxzjvvUBsF4fF48Mgjj2D27NmYN28e9aMgpOPMeNrF6XTi5z//Oe655x78+Mc/\nRmtra/SLCWnIxx9/LDz++OOCIAjC/v37hQceeEDc53a7halTpwoWi0VwuVzCzJkzhebm5rSRTxAE\n4dFHHxUOHTrUpzIF8+qrrwrl5eXCD37wg4Dt6dB+0WQUhNS34TvvvCP87ne/EwRBENra2oSysjJx\nX7q0YSQZBSH1bfjJJ58IS5cuFQRBEPbs2ZN2z3E0GQUh9W0oCL62evDBB4VbbrlFOHXqVMD2dGjD\ncPIJQnq0X18S7dtwoSF9R7W3twtlZWXC/fffL1RWVgqCIAjLli0TPvnkE6GxsVEoLy8X3G63YLFY\nhPLycsHlcqVS9D4j+Pmh9glkz549wv333y8IgiDYbDbhz3/+M7VRENu2bRN+8YtfCIIgCLt27RJ+\n9rOfURt1EjzOjKdd/v73vwt//vOfBUEQhPfff1949tlno14vLS1V+/btQ2lpKQBg/PjxOHjwoLjv\n5MmTKCoqgk6ng1wux8SJE1FZWZk28gHAoUOH8Morr2Du3Ln4y1/+0qey+SkqKsLLL7/cbXs6tJ+f\ncDICqW/DadOm4aGHHgLgs2ZwHCfuS5c2jCQjkPo2vOmmm/DMM88AAGpra5GRkSHuS5c2jCQjkPo2\nBIDf//73mDNnDnJzcwO2p0sbhpMPSI/260uifRsuNKTvKK/XC5lMhqqqKlxxxRUAgMmTJ+M///kP\nvvnmG0ycOBEcx0Gn06G4uFhcM2ygI31+BEGg9gniiy++wKhRo/CTn/wEDzzwAMrKyqiNgiguLobX\n64UgCLBYLOA4jtqok+Bx5qFDh2JqlyNHjmDfvn2YPHmyeOx///vfqNdLS6XKarVCr9eLvzmOA8/z\nIfdptVpYLJa0kQ8Apk+fjuXLl+O1117Dvn37sHPnzj6VDwCmTp0KmUzWbXs6tJ+fcDICqW9DtVoN\njUYDq9WKhx56CL/85S/FfenShpFkBFLfhgDAsiwef/xxPPfcc5gxY4a4PV3aEAgvI5D6Nty4cSOy\ns7Nx7bXXQghaUjAd2jCSfEDq26+vifZtuNAI9Y6S9hOtVgur1QqbzRbQbhqNJmXvg74k1PMj7S8X\nevsAQGtrKw4ePIgXX3wRTz/9NB599FFqoyC0Wi3Onj2LW2+9FcuWLcP8+fPpOeskeJwZa7v4t+t0\nuoBjo5GWSpVOp4PNZhN/8zwPlmXFfdKK2Ww2GAyGtJEPABYuXIjMzExwHIcpU6agqqqqT+WLRDq0\nXyykQxvW1dVh4cKFuOuuu3DbbbeJ29OpDcPJCKRHGwLAypUr8dFHH+HJJ5+Ew+EAkF5tCISWEUh9\nG27cuBG7du3C/PnzceTIETz22GNobm4GkB5tGEk+IPXt19dE+zZciEjfUdOnTw9oD3+fTYe+nAqk\nz8/Ro0fx2GOPBcRtXOjtAwCZmZkoLS0Fx3EYNmwYlEplyLa4kNtozZo1KC0txUcffYR3330Xjz32\nGNxut7if2qiLeN4/0vd5sOIVtvzEi9x7Lr/8cnFGc//+/Rg1apS4r6SkBDU1NTCbzXC5XKisrMRl\nl12WNvJZrVaUl5fDbrdDEATs3r0bY8eO7VP5pATPHqdD+wUTagY+1W3Y1NSExYsX41e/+hXuuuuu\ngH3p0oaRZEyHNty8ebPo8qVUKsGyrPhCS5c2jCRjOrThunXrsHbtWqxduxajR4/G73//e2RnZwNI\njzaMJF86tF9fE+nbcCES6h118cUXi26qn332GSZOnIhLL70U+/btg8vlgsViwalTpzBy5MhUit4n\nBD8/q1atQmlpKbWPhIkTJ+Lzzz8HANTX18Nut2PSpEnYu3cvAGojAMjIyBAtKnq9Hh6PB2PGjKE2\nCsGYMWNifr4mTJggvs937twpug1Ggot6RAqYOnUqdu3ahdmzZwMAVqxYgS1btsBut6OiogJLlizB\nokWLIAgCKioqQvryp1K+hx9+GPPnz4dSqcTVV18t+mSmAoZhACCt2i8WGVPdhq+88grMZjNWr16N\nl19+GQzD4O67706rNowmY6rb8Oabb8aSJUswb948eDweLF26FB9//HFatWE0GVPdhlLS/VlOx+e4\nrwn1bbiQCfWOeuKJJ/Dss8/C7XajpKQEt956KxiGwfz58zF37lwIgoCHH34YCoUi1eKnhMceewxP\nPfUUtU8nZWVl+PLLLzFr1iwIgoCnn34ahYWFePLJJ6mNOlm4cCGWLl2Ke+65Bx6PB48++ijGjh1L\nbRSCeJ6vOXPm4LHHHsPcuXOhUCjwhz/8IWr5jBDKEZ4gCIIgCIIgCIKIibR0/yMIgiAIgiAIgugv\nkFJFEARBEARBEATRC0ipIgiCIAiCIAiC6AWkVBEEQRAEQRAEQfQCUqoIgiAIgiAIgiB6ASlVBEEQ\nBEEQBEEQvYCUKoIgCIIgCIIgiF5AShVBEARBEARBEEQvIKWKIAiCIAiCIAiiF5BSRRAEQRAEQRAE\n0QtIqSIIgiAIgiAIgugFpFQRBEEQBEEQBEH0AlKqCIIgCIIgCIIgegEpVQRBEARBEARBEL2AlCqC\nIAiCIAiCIIheQEoVQRAEQRAEQRBEL+BSLQBBDEQqKyuxYsUK8DwPjUaDxx9/HOPGjQt7/Ouvv443\n33wTCoUCSqUSy5cvR0lJCSorK/Hcc8+BZVmMGzcOn332GdatW4eCgoI+rA1BEAQxUKHvFUEkCIEg\niITidDqF6667Tvjvf/8rCIIgHDhwQCgtLRUsFkvI471er3DJJZcIjY2NgiAIwubNm4W33npLcDqd\nwtVXXy2W8+677wqjR48Wamtr+6YiBEEQxICGvlcEkTjI/Y8gEszp06chk8kwadIkAMC4ceNQWFiI\nr776KuTxLMti2rRp+MEPfoBnnnkGOp0Os2bNwrFjx6BUKsVyZsyYAYPB0Gf1IAiCIAY29L0iiMRB\nShVBJJjW1lbIZLKAbSzLQhCEsOesWrUKr7zyCoqKivDqq6/iwQcfhEqlAs/zAccFl0sQBEEQPYW+\nVwSROEipIogEIwgCamtr8eWXXwIADh48iJqaGkyYMCHk8a2trSgrK0NmZiYWLFiAX/ziFzh69CiG\nDx8OlUqFHTt2AAB27tyJ1tbWvqoGQRAEMcCh7xVBJA5KVEEQSSAvLw9/+9vf8Oyzz4JlWbzwwgth\nXSGysrLwk5/8BAsXLoRSqYRcLheDfV966SU8/fTTePHFFzFy5Egolco+rglBEAQxkKHvFUEkBkaI\nZONNAAcOHMDzzz+PtWvXhty/bNkyZGZm4uGHH06mGATRZ+zduxfPPPMM3nvvvYSXPWHCBLz//vuU\nTYkgEgjP83jyySdRXV0NlmWxfPlyjBgxQty/Zs0avP322zAajQCA3/72tyguLk6RtASROOh7RRCJ\nI6mWqr/+9a/YvHkztFptyP3r16/HsWPHcNVVVyVTDIJIOe+99x7+9re/gWEYcZsgCGAYBjNmzMCi\nRYtiKkd6PkEQiWH79u1gGAZvvPEG9u7diz/+8Y9YvXq1uP/QoUNYtWoVxowZk0IpCaJvoO8VQfSM\npFqqPvnkE1x00UX49a9/jfXr1wfs+/rrr/H222/jyiuvxKlTp8hSRRAEQaQMnufBsiw2bdqEvXv3\nYsWKFeK+2267DSNHjkRjYyPKyspw3333pVBSgiAIIh1JaqKKqVOnhsz+0tjYiJdeegnLli2LmGGG\nIAiCIPoClmXx+OOP47nnnsOMGTMC9k2fPh3Lly/Ha6+9hn379mHnzp0pkpIgCIJIV1KSqGLr1q1o\na2vDj370IzQ2NsLpdGL48OG48847UyEOQRAEQWDlypVobm5GRUUFPvjgA6hUKgDAwoULodPpAABT\npkxBVVUVpkyZkkpRCYIgiDSjT5SqYGvU/PnzMX/+fADApk2bUF1dHZNC5ffpJQiCIIhEsXnzZtTX\n1+O+++6DUqkEy7JgWZ8jh9VqRXl5OT788EOoVCrs3r0bs2bNilomfa8IgiAuLPpEqfJ/WLZs2QK7\n3Y6Kiooel9PYaEmkaCnFZNJTfdIYqk96Q/VJb0wmfapFiJmbb74ZS5Yswbx58+DxeLB06VJ8/PHH\n4vfq4Ycfxvz586FUKnH11Vdj8uTJUcscaN+rZDDQ+nyiGQjtY+lwobbRhhGDM8DJEh9xMhDaKNlQ\nG0UnUd+rpKdUTzQDqWMMtI5O9UlvqD7pzUCsz4XOQLqfyWCg9flEMxDaZ+/hevCCgCEmHQpNuoSX\nPxDaKNlQG0UnUd+rpCaqIAiCIAiCIC5M+M55+341e08QPYSUKoIgCIIgCIIgiF6Qkux/RP+nsc2O\nqu9aUNtkg9crwOPlodMpkZehQkmBAfk5WrAUpE0QBEEQBEFcAJBSRcRMh8ONrXvPYE/VeTS2OSIe\nq1VxKB1XgJuuGAyjQdVHEhIEQRAEkXaQ/x9xAUBKFREVp8uLbfvO4MPdp9Hh9ECtlGHCyByMHWbE\nsHwDFHIZOBkDtUaJr6rO4+S5dnx7qgVb957GJ1+ewZUX52Lm5BJkZ5ByRRAEQRAEQQw8SKkiIlLb\naMWf3/kWDW12aFUcKq4vwQ2XD4ZSLut2rMmkh0EpQ9mEQrg9PHZXncdHe89g96F67D/ehB/cMAKT\nxxfQ2i0EQRAEQRDEgCLpStWBAwfw/PPPY+3atQHbt2zZgtdeew0cx2HUqFF4+umnky0KESdfH2/E\nX96rgtPlxc1XDsHt1w6DRhVbl5FzLErHFeC6S/Pxxbd1WP/vE/jH1qP48kgDFk0fgyy9MsnSEwRB\nxAbP83jyySdRXV0NlmWxfPlyjBgxQty/fft2rF69GhzHYebMmT1ea5EgCIIYuCQ1+99f//pXPPnk\nk3C73QHbnU4nXnzxRaxbtw6vv/46LBYLPv3002SKQsTJh7tr8NI730LgBdx/x1jMvnFkzAqVFIZh\nUDquAM8svgqXDs/Goe9a8exrX+J0Pa2ZQBBEerB9+3YwDIM33ngDDz30EP74xz+K+zweD1auXIk1\na9Zg7dq1ePPNN9HS0pJCaQmCIJKP28OnWoR+R1KVqqKiIrz88svdtisUCqxfvx4KhQKA76OlVJLl\nIl3Ysb8WG3achNGgxNL5E3HVxXm9LtNoUOEXFeMwq6wErRYnVvzzK3x7qjkB0hIEQfSOm266Cc88\n8wwAoLa2FhkZGeK+kydPoqioCDqdDnK5HBMnTkRlZWWqRCWIfgnlqehfVNeZse9YAzoc7ugHEyJJ\nVaqmTp0Kmax77A3DMDAajQCAtWvXwm6345prrkmmKESMHDzVjHUfHYNOLcev5kzA0LzErDIN+O77\nbZOK8MCdl8DrFfB/G77Brm/rElY+QRBET2FZFo8//jiee+45zJgxQ9xutVqh13e9B7VaLSwWsrQT\nRCwwoBjq/kh9awcAwNxBSlU8pCxRhSAIWLVqFWpqavDSSy/FfJ7JlLhBfjqQTvWpPteO/2/zIchk\nDJYtnoSLhxnjLiOW+txm0mP40Cz89q+78fcPDiM7S4vSCYU9ETnppNP9SQRUn/RmoNWnv7Fy5Uo0\nNzejoqICH3zwAVQqFXQ6HaxWq3iMzWaDwWCIqTy6n9GhNopMf28fg6EdggBkZWmSVpf+3kZ9Qbxt\nZNC3AwCyjVqYTLpkiDQg6ROlShC6G36feuopqFQqrF69Oq6yGhsHzgyhyaRPm/p0ODxY/v/2wO70\n4P47xiJHJ49btnjqk62R45d3j8f/vvE1/vD6PjjsLlw2MqcnoieNdLo/iYDqk94MxPr0FzZv3oz6\n+nrcd999UCqVYFkWLOtz5CgpKUFNTQ3MZjNUKhUqKyuxePHimModSPczGQy0Pp9oBkL7mM0OCBDQ\nqpRBJ0+8c9RAaKNk05M2MlvsAICWVjnkF4DzZqK+V0l1//PjT6G9ZcsWbNiwAVVVVdi4cSOOHj2K\n+fPnY8GCBdi2bVtfiEKE4e0dJ9BsdmLGNcUJiaGKheJBBvyiYjxkMgar//Utqr6j4G+CIPqem2++\nGVVVVZg3bx7uvfdeLF26FB9//DE2bNgAjuOwZMkSLFq0CHPmzEFFRQVyc3NTLTJBEASRZiTdUlVY\nWIj169cDAMrLy8XtVVVVyb40ESNHT7dix/5zKDRpMePa4j699sjBmfj5zHH404YDWL3pIJ76nyuQ\nl6XpUxkIghg4nD17FidOnEBpaSnOnTuHIUOGRD1HrVbjT3/6U9j9ZWVlKCsrS6CURDC8IAACwLIU\ng0MQ6QI9jfHRJ5YqIn1xub1Y8+ERMAD+Z9pocLK+7xJjio1YcMtodDg9eOmdb2F3evpcBoIg+j8f\nfPABHnjgATz77LNoa2vD7NmzsXnz5lSLRcTAl0casPdIfarFIJJEqDAQoh/AkFoVD6RUXeC8u+s7\n1LfacdMVQ1BSkBH9hCRx3bh83DhxMGqbbPjb+4d9s5YEQRBx8Oqrr+KNN96ATqdDdnY2Nm3ahL/8\n5S+pFouIgtPtpXf+AIXG5P0bun3xQUrVBUxdsw1b95xGToYK3588PNXi4Ac3jMBFQzLx1bFGfPDf\nmlSLQxBEP4NlWeh0XZmqcnNzxYQTRPpy8BTF0xJEOkJKVXzQ1+YCZvMX1eAFAT+4YQSUiu7rifU1\nnIzFA3ddgiy9Ev/6vBrVdeZUi0QQRD9i5MiRWLduHTweDw4fPoynnnoKo0ePTrVYRBThSa4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OO1bcjOGBT+UEnJghD5Ov0pvirdYvOSgawH74tY7qHD5YFCLgPLMDhY3QJeEKBTy5GdEZ/HXbzE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\nBWnsoc2sRzAchdNmVLXKZkqmMXZEPo6f9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8X9W7Zswfr168FxHObPn4+FCxf2Y22zk609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PpntunR4f7E4fqs6YoVFyFzaOJKRUdU+0P7J+mMBhUxQFG0/rcyRC3Tz7Cr5UuVezIFhqe+SR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\nlNDHBNHwSRO/czyPbiA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2t7/NGGPs4MGD7Jvf/GZB0p6tVHlmjLETJ06wr3zlK2zVqlXs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\nEEKmgRpVhBBCCCGEEDIN/w+JHCO2IPcTYQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x156f40780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"traceplot(gp_trace, varnames=['η_sq', 'ρ_sq', 'σ_sq']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sample from the posterior GP"
]
},
{
"cell_type": "code",
"execution_count": 141,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/fonnescj/anaconda3/lib/python3.5/site-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['μ_post'][50:], gp_trace['Σ_post'][50:])]"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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jsLkE2hxFIdbZMqxwDqc1frGgtZaWtHXJhUClNSaPGllr0fkMp8oC7fqemXNU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\nf+t+S2EblnpVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x16d4d75c0>"
]
},
"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);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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