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@AustinRochford
Last active October 11, 2016 12:26
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PyMC3 Mixture Model First Pass
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"!rm -rf /home/jovyan/.theano/"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"import pymc3 as pm\n",
"from pymc3.distributions.continuous import get_tau_sd\n",
"from pymc3.distributions.dist_math import bound\n",
"from pymc3.math import logsumexp\n",
"import scipy as sp\n",
"import seaborn as sns\n",
"from theano import tensor as tt"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"np.random.seed(123456789)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class Mixture(pm.distributions.Continuous):\n",
" def __init__(self, w, comp_dists, *args, **kwargs):\n",
" super(Mixture, self).__init__(*args, **kwargs)\n",
" \n",
" self.w = w\n",
" self.comp_dists = comp_dists\n",
" \n",
" try:\n",
" self.mean = (w * comp_dists.mean).sum()\n",
" except AttributeError:\n",
" pass\n",
" \n",
" def _comp_logp(self, value):\n",
" comp_dists = self.comp_dists\n",
" \n",
" try:\n",
" if value.ndim == 1:\n",
" value_ = value[:, np.newaxis]\n",
" else:\n",
" value_ = value\n",
"\n",
" return comp_dists.logp(value_)\n",
" except AttributeError:\n",
" return tt.stack([comp_dist.logp(value) for comp_dist in comp_dists],\n",
" axis=1)\n",
" \n",
" \n",
" def logp(self, value):\n",
" w = self.w\n",
" comp_dists = self.comp_dists\n",
" \n",
" return bound(logsumexp(tt.log(w) + self._comp_logp(value), axis=1).sum(),\n",
" tt.all(w >= 0), tt.all(w <= 1), tt.eq(w.sum(), 1))\n",
" \n",
"class NormalMixture(Mixture):\n",
" def __init__(self, w, mu, *args, **kwargs):\n",
" _, sd = get_tau_sd(tau=kwargs.pop('tau', None),\n",
" sd=kwargs.pop('sd', None))\n",
" \n",
" super(NormalMixture, self).__init__(w, pm.Normal.dist(mu, sd), *args, **kwargs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Normal Mixtures"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"MU = np.array([0., 5.])\n",
"TAU = np.ones_like(MU)\n",
"\n",
"W = 0.5 * np.ones_like(MU)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"N = 1000\n",
"\n",
"component = np.random.choice(2, size=N, p=W)\n",
"x = sp.stats.norm.rvs(MU[component], 1. / np.sqrt(TAU[component]),\n",
" size=N)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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nd+/eufHGG3PzzTfn4MGDmTNnTj744INccMEF+e1vf5uampqunBkAKkKHn+7u3bt3FixY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\nkQaAQok0ABTq/wOyOz0/qx0CeAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2b9d2a5198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.hist(x, bins=20, lw=0);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to w and added transformed w_stickbreaking_ to model.\n",
"Applied log-transform to tau and added transformed tau_log_ to model.\n"
]
}
],
"source": [
"with pm.Model() as model:\n",
" w = pm.Dirichlet('w', np.ones_like(MU))\n",
" \n",
" mu = pm.Normal('mu', 0., 10., shape=2)\n",
" tau = pm.Gamma('tau', 0.1, 0.1, shape=2)\n",
"\n",
" x_obs = NormalMixture('x', w, mu, tau=tau, observed=x)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-------100%-------] 20000 of 20000 in 20.6 sec. | SPS: 970.6 | ETA: 0.0"
]
}
],
"source": [
"with model:\n",
" trace = pm.sample(20000, pm.Metropolis())[10000::10]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Yex/G1cTCQx1hJ5xhF/xcAA2VM6OfBxkeEVZAZakpGlpabjUijD6EeQZOr2x0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xaHWYPVpEanlsv3egmU+t7x+Xw8+uijLF26NKeNb37zm6xdu3a6hlymTJkyZU5yZkSR2rZtG/X1\n9VRXVwNw6aWXsmnTphlVpHr9/WzvfQdfeJjh8DDesA9PyIsn5GUwNIQvPJz3OJWkokpfQZXBTY2h\nihqDm1pjDRpZndonEo3h9YcJR2KEozFC4SihcIxgOIo/GMEfjOALRPAMh/AMhxnyhegbCtDnCeL1\nh3P6NGgVWhusNLhNNLpNNFWZMBvUOfuVKVNm/OgULW2OhbQ5FgIQioY57DnK4aEjvOc5yuGho+wb\nOMjegQMZxymiglVtxqKxYFGbMCh6jCoDelmHRtaglTVoZDWKqEItKSiigizKKKJCc62F5loLALFY\nnPZeH4c7PRzp8nK408vxXh87D/ax82BfznhVsojFqMakV2HSqTDpFPRaBb1GobbCQGvD5Cauma2U\n+t6577772LBhAw8++GDG9r/97W/U1tai1Zat+2XKlClTJsGMKFKdnZ243e7U54qKCrZv3z4TQ0nx\n9ME/81rHWznbtbIGk8pItaEKi9qETWPFrrHh0Fpx6ZxjrkIPeoPc9eNX8Qej4xqPShGxGTXUVxqp\ntOpw2bS47TpqnQZMelV5BbpMmWlCJSnMtTQy19KY2haKhjju66Td10n3cA9dw930+HvpDw7S1d8z\n7j4+Mv8azqpeDYAoCtQ4DdQ4MwsK+4MROvqG6R7w0zMYoGcwQP9QgH5vkAFviO6BQbIdtSVR4H+/\nsBZFPvmLO041pbx3du3aRUdHB2vXrs1QpPx+Pw8++CA//elPeeihh6ZtzGX+f/buPEyq8kz4//fU\nqX3p6r2bPdigoEFjJCYOBAwozEQQEMEoLoOGxORFHMEXFZfMb6I4Gse5dPK+MY4xRkcz8xsUHYJJ\nTCCgxiVuIyrggIKsvS+1L2d5/6iuooteoLuqu+ju+3NdXlLV55y6z1OnTp277ud5jhBCnNoKkkj1\nZVhWf/fDv3Xmin7ZbkWFj/9//bx+2bYQonBGUQacOaCvOXZ0yYC+3lByou8d0zRZv349DzzwQKe/\nPfroo/zt3/5tphrVm++wwTSGbKBJ2/RM2qdn0j49k/YZGAVJpKqrqzly5EjmcV1dHZWVlYUIRQgh\nxDBwou+dcDjM3r17ueaaazBNk8bGRn7wgx/ws5/9jB07dvDKK6/wk5/8hEAggMViweFwsGzZskLs\nihBCiFNEQRKpKVOmcODAAQ4fPkxFRQWbN2/m4YcfLkQoQgghhoETfe94vV7efPPNzONrrrmGO+64\ngzPPPJNnn3028/xPf/pTPB6PJFFCCCEKk0ipqsrdd9/N9ddfj2maXH755af0jH1CCCEGt+6+dx59\n9FGmTJnCt771razlFUXpUzd0IYQQw8eguSGvEEIIIYQQQpwqZConIYQQQgghhOglSaSEEEIIIYQQ\nopckkRJCCCGEEEKIXjolEqlXX32Vv/7rv2bu3Lk8/vjj3S73u9/9jkmTJvHJJ59kPX/kyBHOPfdc\nfvnLX/Z3qDnLZV93797Nd77zHebNm8ell15KIpEYiJBz0tf91TSN22+/nfnz53PJJZf0uO6p5ET7\nu3HjRi644AIWLVrEokWL2LBhQ9bf5s6dy9y5c3nxxRcHMuw+6+v+po/l+fPns2DBAl5++eWBDr1P\ncnl/AUKhEDNmzODee+8dqJBzksv+Hj16lBtuuIFvf/vbzJs3L2vq8aHuZM97Q1ltbS3XXnst3/72\nt5k/fz5PP/00AG1tbVx//fXMnTuXG264gWAwmFnn3nvvZc6cOSxYsIBdu3YVKvQBYxgGixYt4sYb\nbwTg0KFDLF26lLlz57J69Wo0TQMgkUhwyy23MGfOHK644oph81kKBoOsWrWKv/mbv+GSSy7hww8/\nlOOn3VNPPcW8efOYP38+a9asIZFIDPvjZ926dfzVX/0V8+fPzzzXl+Ol19diZoHpum5edNFF5qFD\nh8xEImFeeuml5t69ezstFwqFzGXLlplXXHGF+fHHH2f97aabbjJvvvlm88knnxyosPskl33VNM2c\nP3+++emnn5qmaZqtra2mYRgDGn9v5bK/mzZtMlevXm2apmlGo1HzW9/6lnn48OEBjb+3TmZ/X3jh\nBfPHP/5xp3VbW1vN2bNnm4FAwGxra8v8+1SWy/7u37/f/OKLL0zTNM26ujpz2rRpZjAYHJC4+yqX\n/U279957zTVr1vS4zKki1/29+uqrzTfeeMM0TdOMRCJmLBbr95hPBSd73hvq6uvrzZ07d5qmmTrH\nz5kzx9y7d6/54IMPmo8//rhpmqb585//3PzJT35imqZpbtu2zVyxYoVpmqb53//93+aSJUsKE/gA\n+uUvf2muWbPG/P73v2+apmnefPPN5ssvv2yapmnec8895q9//WvTNE3z2WefNX/0ox+Zpmmamzdv\nNv/u7/6uIPEOtNtuu83csGGDaZqmmUwmzUAgIMePaZq1tbXmrFmzzHg8bppm6rh54YUXhv3x8847\n75g7d+40582bl3mut8dLX67FCl6R2rFjB+PGjWPUqFHYbDYuueQStmzZ0mm5Rx55hBUrVmCz2bKe\n/+Mf/8iYMWOYMGHCQIXcZ7ns6+uvv86kSZM4/fTTAfD7/SiKMmCx90Uu+6soCpFIBF3XiUaj2O12\nvF7vQIbfaye7v2YXE2W+/vrrTJs2DZ/PR1FREdOmTeO1114biLD7LJf9HTduHGPHjgWgsrKSsrIy\nmpub+z3mXOSyvwAff/wxzc3NTJ8+vb9DzYtc9vezzz7DMAwuuOACAFwuFw6Ho99jPhWcbLsNdRUV\nFUyePBkAj8dDTU0NdXV1bNmyhUWLFgGwaNGiTNts2bKFhQsXAnDOOecQDAZpbGwsTPADoLa2lu3b\nt7NkyZLMc2+99RZz584FUm3zxz/+ESCrzebOnZt1v7OhKhQK8e6777J48WIArFYrPp9Pjp92hmEQ\njUbRNI1YLEZlZSVvv/32sD5+pk6dSlFRUdZzvT1e+nItVvBEqq6ujhEjRmQeV1VVUV9fn7XMrl27\nqK2tZebMmVnPR6NRnnjiCVauXDkgseYql33dv38/ADfccAOXXXYZTzzxRL/Hm6tc9nfu3Lm4XC6m\nT5/OrFmzuOGGGzp9QE41J7O/AK+88goLFizg5ptvpq6urtt10387VfVlf2trazv9fceOHWialkms\nTlW57K9pmjzwwAOsXbt20NybKJfjed++ffh8Pm666SYuu+wyfvKTnwya/c7VybbbcHLo0CF2797N\nOeecQ1NTE+Xl5UAq2Ur/gFJfX091dXVmncFwDszF+vXrWbt2beYH0ZaWFvx+PxZL6rKsuro6s/8d\n20ZVVYqKimhtbS1M4APk0KFDlJSUcMcdd7Bo0SLuvvtuotGoHD+k9m358uVceOGFzJgxA5/Px5ln\nnklRUZEcP8dpbm4+qeMl3V59uRYreCJ1oi9X0zRZv349t99+e6e/Pfroo/zt3/4tLpfrpLZVaLns\nq67rvP/++zz88MM899xz/PGPf+Stt97qr1DzIpf93bFjB6qq8uc//5ktW7bwi1/8gkOHDvVXqHlx\nMsffrFmz2Lp1Ky+99BIXXHABa9eu7XbdU73i2Jf9ve2227L+Xl9fz9q1a7n//vv7K8y8yWV/n3vu\nOS688EKqqqpOeluFlsvxrOs67733HrfffjsbNmzg4MGDvPDCC/0d8ilhMLy3AykcDrNq1SrWrVuH\nx+Pp9rw2GM+BfbVt2zbKy8uZPHlyZr9N0+zUBun9P/550zSHbNukaZrGzp07ueqqq9i4cSMul4vH\nH39cjh8gEAiwZcsW/vSnP/Haa68RjUZ59dVXOy03nI+fE+muTfpyHBU8kaqurs4a+FZXV0dlZWXm\ncTgcZu/evVxzzTXMmjWLDz/8kB/84Ad88skn7Nixg5/85CfMnj2bX/3qV/z85z/n2WefLcRunJRc\n9rW6upqvfe1r+P1+nE4nM2bMYOfOnYXYjZOWy/7+5je/4Zvf/CYWi4XS0lK++tWv8vHHHxdiN07a\nifYXUl0y010Yly5dmnkPj1+3tra207qnmr7sb8fJU0KhEDfeeCOrV6/m7LPPHpigc5DL+/vBBx/w\n7LPPMnv2bB544AFeeuklHn744YELvg9yPZ4nT57MqFGjsFgszJ49+5Q/X+XLybTbcKFpGqtWrWLB\nggVcdNFFAJSVlWW6XDU0NFBaWgqkfvntWLEeDOfAvnr//ffZunUrs2fPZs2aNbz99tusX7+eYDCI\nYRhA9v53bBtd1wmFQvj9/oLFPxCqq6uprq5mypQpAMyZM4edO3fK8QO88cYbjBkzhuLiYlRV5aKL\nLuKDDz4gEAjI8XOc3h4vfbkWK3giNWXKFA4cOMDhw4dJJBJs3ryZ2bNnZ/7u9Xp588032bJlC1u3\nbuWcc87hscce46yzzuLZZ59ly5YtbNmyheuuu44bb7yRZcuWFXBvepbLvk6fPp1PP/2UeDyOpmm8\n88471NTUFHBvTiyX/R0xYkSm4haJRPjwww857bTTCrUrJ+VE+wupD3Lali1bMu/h9OnTeeONNwgG\ng7S1tfHGG2+c8mNp+rK/6bGMyWSS//W//hcLFy5kzpw5Axp3X+Xy/j700ENs3bqVLVu2cNttt7Fw\n4UJWr149oPH3Vi77O2XKFAKBAC0tLUBq7Mepfr7Kl5Npt+Fi3bp1TJgwgeuuuy7z3KxZszLVyY0b\nN2baZvbs2ZkZsv77v/+boqKiTJecoWb16tVs27aNLVu28PDDD/P1r3+dhx56iK9//ev87ne/A7Lb\nZtasWWzcuBFIzXD7jW98o2CxD5Ty8nJGjBjBvn37gNQ5ZMKECXL8ACNHjuTDDz8kHo9jmiZvvfUW\nEydOlOOHzpWm3h4vfbkWs/bDfvSKqqrcfffdXH/99ZimyeWXX05NTQ2PPvooU6ZM4Vvf+lbW8t2V\n3gaDXPa1qKiI5cuXs3jxYhRF4cILL+w0ruhUk8v+Llu2jDvuuIN58+YBcPnll2cm2jhVncz+PvPM\nM2zduhWr1Yrf7890afP7/fzwhz/MvL8rV6485ceE5bK/v/3tb3nvvfcIBAK88MILKIrC/fffz6RJ\nkwq8V93LZX8Ho1z212KxcNttt2UuoM866yyWLl1ayN0ZMN2123Dz3nvvsWnTJk4//XQWLlyIoijc\ncsstrFixgr/7u7/j+eefZ+TIkTzyyCMAzJw5k+3bt3PxxRfjcrkG9Wenr9asWcPq1at55JFHmDx5\nMpdffjkAS5Ys4X//7//NnDlzKC4uPuWr2fly1113ceutt6JpGmPGjOH+++9H1/Vhf/ycffbZzJ07\nl4ULF2K1WjnzzDNZunQpM2bMGNbHT7q629rayoUXXshNN93E9773PW6++eaTPl76ci2mmIM1KxFC\nCCGEEEKIAil41z4hhBBCCCGEGGwkkRJCCCGEEEKIXpJESgghhBBCCCF6SRIpIYQQQgghhOglSaSE\nEEIIIYQQopckkRJCCCGEEEKIXpJESgghhBBCCCF6SRIpIYQQQgghhOglSaSEEEIIIYQQopckkRJC\nCCGEEEKIXpJESgghhBBCCCF6SRIpIYQQQgghhOglSaSEEEIIIYQQopckkRJCCCGEEEKIXpJESggh\nhBBCCCF6SRIpIfJs1qxZ/OIXv+DSSy/l3HPP5a677qKpqYkVK1bw1a9+leuvv55gMMhf/vIXZs6c\n2WndN998s0CRCyGEGI7ke0uIvpFESoh+8Ic//IGnnnqK3//+92zdupUVK1awZs0a3n77bXRd5+mn\nnwZAUZQCRyqEEELI95YQfSGJlBD94Oqrr6a0tJTKykqmTp3KOeecw6RJk7DZbFx88cXs2rWr0CEK\nIYQQGfK9JUTvSSIlRD8oKyvL/NvhcHR6HIlEChGWEEII0SX53hKi9ySREqJAXC4X0Wg081jXdVpa\nWgoYkRBCCNE9+d4SIpskUkIUyPjx40kkEmzfvh1N0/jZz35GMpksdFhCCCFEl+R7S4hskkgJkWfH\nD8TtbmCu1+vlnnvu4c4772TmzJl4PB6qqqoGIkQhhBAiQ763hOgbxTRNsxAv/DmozHwAACAASURB\nVKtf/YoNGzYAsGTJEq699tpChCGEEEKclGAwyJ133smePXuwWCysX7+ec845p9BhCSGEKBBrIV50\nz549bNiwgeeffx5VVfnud7/LhRdeyNixYwsRjhBCCHFC9913HzNnzuTRRx9F0zRisVihQxJCCFFA\nBena99lnn/GVr3wFu92Oqqp87Wtf4w9/+EMhQhFCCCFOKBQK8e6777J48WIArFYrXq+3wFEJIYQo\npIIkUhMnTuSdd96hra2NaDTKq6++ytGjRwsRihBCCHFChw4doqSkhDvuuINFixZx9913S0VKCCGG\nuYJ07aupqWHFihUsX74cj8fDpEmTsFp7DqWhIThA0QkhhDhZFRW+QocwIDRNY+fOndxzzz1MmTKF\n++67j8cff5xVq1Z1u45pmt0O2hdCCDH4FSSRAli8eHGmi8Q///M/U11dXahQhBBCiB5VV1dTXV3N\nlClTAJg7dy5PPPFEj+soiiI/AnajosInbdMDaZ+eSfv0TNqnZ/n8AbBg0583NzcDcOTIEf7whz8w\nb968QoUihBBC9Ki8vJwRI0awb98+AN566y1qamoKHJUQQohCKlhF6qabbqKtrQ2r1cqPfvQjfL7h\n0T1ECDH8hJMRQokQVZ7KQocicnDXXXdx6623omkaY8aM4f777y90SEIIIQqoYInUs88+W6iXFkKI\nAfXYjqf4vG0/9027k2KHv9DhiD6aNGkSzz//fKHDEEIIcYooWNc+IYQYDkzT5PO2/QAcDB4ubDBC\nCCGEyJuCJVJPPfUU8+bNY/78+axZs4ZEIlGoUAqmLRTnxdc+JxrXCh2KEKKfxPV45t8tsbYCRiKE\nEEKIfCpIIlVXV8czzzzDCy+8wKZNm9B1nZdffrkQoRTUc3/cw3/9eT+/e/tAoUMRQvSTYCKc+Xco\nGSpgJEIIIYTIp4KNkTIMg2g0isViIRaLUVk5/AZh7znUCsDRpvAJlhRCDFah5LHPdyQZLWAkQggh\nhMingiRSVVVVLF++nAsvvBCXy8W0adP4q7/6q0KEUlBm+/8D4eHXrVGI4SKiRTr8WxKpwWzWrFl4\nvV4sFgtWq5UNGzYUOiQhhBAFVJBEKhAIsGXLFv70pz/h8/lYtWoVmzZtYv78+YUIpyAM0yQUSQLQ\nJomUEENWtEMVqmNSJQYfRVF45pln8Ptl5kUhhBAFGiP1xhtvMGbMGIqLi1FVlYsvvpgPPvigEKEU\nTDiaRDdSNalARBIpIYaqiBbL/DumxXtYUpzqTNPEMIxCh9GJbuiFDkEIEnoy67FhGnLOG0YiyQiG\n2f/nR9M0MU3zxAu2S+pJ4nr/XWcXpCI1cuRIPvzwQ+LxOHa7nbfeeospU6YUIpSCCUSOnXCicR1N\nN7CqMhu9EENNrGMipctFRX978803+eyzz7j66qtpbGwkGAwyfvz4vGxbURRuuOEGFEXhiiuuYOnS\npSe1XlJPcjRcxwhvNTZL6ms3qsX4rHUfo30j8Vjd2FRb6gIBEwUFRVFOuF3DNGiOtbC/7QATSybg\ns3sIJsLYLFaCyRDlzlIMTFpirZQ6i2mMNtEWD+K0OhhXNAbN0DABpX1bmqHjtrkyiZlqUWmMNqEq\nKlaLFZ/dC6QSt7AWwWvzpJJL08BqsZIwkjhUe5exppdTLWqntrGpNgzToCXWRonTj0U59l0YSASx\nWWy4rM6s9driQSyKkokp3R5xPY5upNrFZ/dS4iwGoCHShE21cih4BK/dg8fqwWv3EIgHKHWVZt6X\njnEFEiG8dg8xLYbX5smKvS0e4Ei4lgnFp3Vat+M+h5JhDNPA7yjKPB9ORggnw/jsXlxWV5frRpMx\nDNMgoSeJ6TGKHX6iWozacB2jfaO6fE3TNFEUhaShoSoWEnoSi2LBrtqIalFiWjzTHpA6N6kWK5Fk\nJBNf6jjQsLe/j+ltQupCOWEkcVvdHA3XUuWuwNn+vkSSUXY27abUVcpp/nHtt334gtZYK2eWnYHT\n6sy8r4ZpYJhGZnhDd+0HoBkaFsXCweBhkoaGz+6l2OEnkowS1xPYLTb+p+UzXDYnVe7Kbo+/rnTc\nN0gd17tb9qIZSeyqHZvFRrGjiFJnCRbFgmEaWcdm5r3SUu+Vx+bOijtpJHGqTmJ6HKfqIGmk3o+E\nnsQwDVxWJ02xFrw2N+4O63YVZyARpCHaRKW7nCK7D0h9NjxWd+a4DCSCNEab8duLKNIcJA2NSDLS\n6diNaTFMUsmIgUlMi1HmLKUuUo/X7sVr82SWTR9LkHqP2xIBypylqBYVm8VKa7yNuJ6gLR4gEA9Q\n5PAxsbim2/NX+twS1xM4VDuKoqAbOjbVlrVcKgmPoZsGhmnid/gyf9sfOEhLvJUpZZNRLSqmaaKb\nBvbjthFKhGmJt1EXrgPgvKqvYGJ2+R7mQjF7k9bl0U9/+lM2b96M1WrlzDPP5N5778Vms3W7fEND\ncACj63+7v2jhwV8fq8I9vHIaxV5HASMSQvSHlz77La988ScAyl1l/H8X3FbgiPKrosJ34oUGyOOP\nP8727dtpaGjglVdeoba2lltuuYVf//rXedl+Q0MDFRUVNDc3s3z5cu6++26mTp3a7fL/0/g5gbYY\nDZHGzHOlrhJ0wyCsRdA6/IJf6iqhOdoCgGqxUu2ppC0eIGkkGV80Dkglcp+17iOhJ7BYVIwOlSi7\nas9cBHfktDqzkvmu2FQ7yS5+sfXYPYQ7zDppVW1ZMXe3fZfNxSjvCEzTJKJFcagOAokgzdHmTNxl\nJUWEg4kuYyt1lZDUNTRTJ5qMtD9XSlyLY2KiKirBROqaYLz/Sximgc/uSV0EHxffaN8oVEXli0D3\ns+M6rU5MTByqHb/DT2usLbP9jssUO/xEtAg2i52maFPmb2WuMkLJEC6ri6gWJd5FFabMVYZqsdAS\nayXZIcap1eeiGRoKCrWRemwWK7ppEFBaCAa6H1OpKArjisbSEmvBarESTIRIdHgPFcWC2V4dcNvc\nRNrb0e/w47V7OBw80mmbfoefYDKUdVxB6vjw2T2Z47Oj04q/hM/m5cOGj7uNFcBqsbYnCybhZBT9\nuOPUarFS7PRnKli6aeBQ7bTGWrs8xnxFrm7b50v+sbitLuoijeimjsvqpDHalNXuaeP9X+Jg8BAl\nzuKsz2lHDquDIruPhkgjVZ4qGqNNlDqLsav2rHYc4xuF31FEWyLIwcAh4FjbV7jLu92+oljwO4po\njbeBaeK2uSl1lmBXbXzeur/T8mN8o2iJtxFKpGaBLXWVEklGstro+PZxWp2M9o2kPtJIIB7oMo7M\nuu2JmmpRaYsHgN5VgNKvV+4qI5gI4rS6cKh2AokgrbHWLpcvd5dRZPcR1WJ4bV4OBA9mfY5OL52A\nz+Zlb+s+2uJd30akwl2OQ3WQMFKJXVefQ0i119cnfLlX+9OTgiVSvTXUEqm/7KrjsZc+yTz+hxvO\nZ3SFt4c1hBCD0X98upFXD78JgM/u5R+n31PgiPLrVEqkLr30Up5//nmWLFnCiy++CMD8+fPZtGlT\n3l/rpz/9KR6Ph+XLl3e7zOtfvJP31xVCCJGb6eO+lrdtFWz68+Eu2N61r7LERX1LlEhMbsorxFAU\nbf+V0GfzdvsLmcgPp9PZqWfDyXSROxnRaBTDMPB4PEQiEV5//XVWrlx5wvUSEYO4Fmds0WgSehLd\n1GmINOK0OhnlHUFTrKXbX2m78yX/OOoiDThUO3aLjcZYc6cqQk3xeD5r3Qccqxp1rGJVeiqoDzdk\nreO1e/HZvZmuXeFkhNZYK8XOYtriASrcZfjt/kzXp8Oho4QSIYqdxThVB8FkKKuClaZarJkKRJHD\nh8/uy6q4FDuLMUyDQDyATbVR6a7osmLSFUt7F6OEnsBpdTHSU0VUixHT4zRHm7tdp8xZQpW7krpI\nfbeVAkj9Om+S6qJX6izBZrFSF67vtFyRw0cgnvrB12qxZiqDVosVj81DRIt0WRHp9nWLXKgJB6O8\n1Xze9gXRZBSv3YuC0qlaBqkq3ghPFUlDI6lr2FUbnzbvyfzda/dis9hoiXWuKrlsrqxJcTx2D3aL\nPbOsw+ogrsWxqXamlE+mPtJIU6wFw9Szzmlji0ZjV+1EklFa4m24rI6sKqtuaFhVG6WOYuojDbhs\n7kzFsWOc6UrL8c4sO4O4nqA13kZpiZc9R45VGW2qjTJnKbXt3bggVWFLVy/S+3Ayplafy97WfWjt\nXQmPhmrx2DyEk93fqmZc0VgOh49imiYuqxPd1LFZrISSETxWd1YFFWBf2/7MPu1s+rTHeEZ4q1EV\nCxEtilWxUh9p6HK5jsfgl8dOYF/tUcKJcJdt6ncUUeQoojnagm7qJ6xap43xjaLSXUFrvI1g+30R\nO55HHFYHPruXaDJG3EhkKsQ+u6/TcVvmKsuq7HZkVW0U2X14bO5MdS/Nrtoz1dfjK/MjvNW0xgNE\nkxGKncWdKpre9q6h+SSJVIEE2yeYqC51U98SJRw9+ROsEGLwiOmpE3ixo4iDoSPd9rMXuauurubd\nd99FURQMw+Cxxx5j4sSJedl2Y2MjK1euTPXp13Xmz5/P9OnTe1xn+riv0dAQJKEnMmNOAEZ4qrBa\nrFgUS2bMSlO0hZgeY5R3RNY2IskowWSIKndF1vPlrtLMv0f7RtISa8Oh2vHaj41vOLviy7TEWlIJ\ngNq563yZs5RAIojdYiNpaFR7Ot/PUTf0TuOa0iaVTjyp4zk9dsmhprqvWxQLZ1dMyOppcvx4lRGe\nKgzTQEFBM/WscTzBRAivzZO1fLp7nGpRKWl/rtpdQVOshbpwPRXuckZ7R6IoSla8o70j8dm9HAwe\nocpdgYlJUk9mLlbPKJ3QqR2qPVVYUEgYSWrD9VS6y3F1uFhzWV3sbP4ffHYPY32jO7VHeizckVAt\nteG6rAvdr1adg24aWL0GSiR1zJxVNqnLdtUNPTPmI71PHUdcnVf1ldTrdRgXYphjORw6Sqkz1UqR\nZJQKdxm6oRPRolljzpLGaKyKmhnHkn7vqj2VWcdKasxXhEp3OQDFDj8jvdUAjPKOxDRNnNbsoQtj\nfKNQFCXzvjdFm/HavTjau6imxxIdDdfidxThUO24rC7cNjclzmIqyny4NT8NkUYSRoJxvjEoikKx\n049TddAaD1Da/gNAVItR7anMHEtHQkcpc5VmuohaLVaKHX5qw/WZY2xC8bFxlR0/k/WRBlxWF0fD\ndZkxQROKT8OiWKhwl3V6jzruS8cxPCYGHpsHl9VJTfF4DoWO4LF5KGkfC3ckdBRIfYaPH/sztujY\nMRVKhtEMjSK7r8NYsiRj/CNxxL2ZcYkJPcnh0FHKXaW4ra7MsdzxvFIXrudg8DAOq4MxvlGZbab3\noeNnoMRZnDl3Vbur2NX8P1S4yjLve+r40fi8dT8jvdX47F5a4220xNoY6xuFburYVTvVngpUxUo4\nGSaiRdEMjZHeEVnj5qrcFST1JPsDB/DYPIz0VhNt7zKskDoHpP7mptJdkfV+xbRYpmuxy+rMOg/n\nS0G69u3bt49bbrkl8yE6ePAgN998M9dee2236wy1rn3/9sqnbH3/MBdPHcMf3j3I9d+ezPSzR5x4\nRSHEoPLP7/+Mva37OKtsEp807eahGf/QaeD8YHYqde1raGjgtttu4y9/+QuKojB16lQeeughyso6\nX+AMXExD67srXyoqfAPWNjEthl219+oHjJgWx8TodjKIfAklw+3jeRrw232ZSQcGsn0Go1OhfdLv\nXX/8MJbUk5jQKYk6WadC+5zK8vm9VZCK1Pjx4zP91w3DYMaMGVx88cWFCKVgQu0VqOrS1Ek6HJOK\nlBBDUUyLt/+amkqe4np8SCVSp5KKigqefPLJrG54Qjj78Hk7voLSX9IzpI3wVA3I64n86Ti7Xb51\nVUEWp6aCd+174403GDt2LCNGDK9qTHqMVEVJKpGSMVJCDE1RLYarfdYiINVPXybo7Bfbt2/v8vmZ\nM2cOcCRCCCGGg4InUi+//DKXXHJJocMYcOFYEoddpciduriSREqIoSmmxfA5fJnxIf15Y8Dh7okn\nnsj8O5FIsGvXLs4880xJpIQQQvSLgiZSyWSSrVu3cuuttxYyjIIIRzU8TiseZ6p8G45L1z4hhhrT\nNInqMSrVig6JlMzc11+eeeaZrMd79+7lF7/4RYGiEUIIMdTlPELuhhtu4E9/+lOvb9YF8Oqrr3LW\nWWdRWlp64oWHmEhcw+2w4Xa23+VeKlJCDDlxPYFhGrhtHbr2SUVqwEyYMIFPPvnkxAsKIYQQfZBz\nReqKK67gV7/6Fffeey9XXHEFS5YsoaSk5MQrAps3b2bevHm5hjDoGKZJLJ6qSDnsKooC4bgkUkIM\nNVEtdW8Wl9WZqUjFpCLVbzqOkTIMg48++girNb8dLwzDYPHixVRVVfHYY4/lddtCCCEGl5y/YebM\nmcOcOXP4/PPPee6555g3bx7Tpk3j2muv5ctf/nK368ViMd544w3+4R/+IdcQBp1YXMMEXA4rFkXB\n7bASlURKiCEn2uG+MulZwOSmvP2n4xgpq9XKmDFjeOSRR/L6Gk8//TQ1NTWEQl3fNFQIIcTwkfcx\nUjabDYfDwW233cY3v/lNbr/99i6XczqdvPXWW/l++UEh0p40uRzWzP8lkRJi6Im0V6TcVpdUpAbA\n8WOk8q22tpbt27dz44038stf/rJfX0sIIcSpL+dE6pVXXuHf/u3faGpq4qqrrmLz5s14PB40TWPO\nnDndJlLDWTSeukO4uz2Rcjus1LdGCxmSEKIfdOza55REqt90N+15Wr5m7Vu/fj1r164lGJQbXQoh\nhMhDIrVhwwZWrFjBN7/5zewNW63cdddd3a4XDAa588472bNnDxaLhfXr13POOefkGs6gkK4+OR1q\n+/+txBI6hmFisSiFDE0IkUeRZHtFyiZd+/pTxy59x1MUJS+J1LZt2ygvL2fy5Mm8/fbbJ71eRYUv\n59ceqqRteibt0zNpn55J+wyMnBOpn//85yhK1xf/s2bN6na9++67j5kzZ/Loo4+iaRqxWCzXUAaN\ndCLVsSIFEEvomVn8hBCD37Gufe4OFanhc64bKP3dpQ/g/fffZ+vWrWzfvp14PE44HGbt2rU8+OCD\nPa7X0CDVq65UVPikbXog7dMzaZ+eSfv0LJ9JZs7Tn1911VW0tbVlHre2trJs2bIe1wmFQrz77rss\nXrwYSFWvvF5vrqEMGtFEuiKVHiOVqkzJOCkhhpZIx659VicAMalI9atgMMiOHTt45513Mv/lw+rV\nq9m2bRtbtmzh4Ycf5utf//oJkyghhBBDW87lj0gkgt/vzzwuLi4+4WxGhw4doqSkhDvuuIPdu3fz\n5S9/mTvvvBOn05lrOINCrH2MlNN+rGsfHEuwhBBDQ6x91r5U177U+S0qFal+8/LLL/PAAw8QCASo\nrKzkwIEDTJo0iY0bNxY6NCGEEENQzhUpwzCIRCKZx+FwGF3Xe1xH0zR27tzJVVddxcaNG3E6nTz+\n+OO5hjJopBOmzKx99vauffGe200IMbhkKlKqC7vFhkWxZJIrkX+PPfYYL7zwAuPGjeP3v/89Tzzx\nBFOmTMn765x//vlyDykhhBC5J1Lz5s3j+uuv56WXXuKll17ihhtu4NJLL+1xnerqaqqrqzNfcHPn\nzmXnzp25hjJopGftc7VXpNJd+yLStU+IISWWuY+UE0VRcKqOzL2lRP5ZrVbKysoyP+ZNmzaNjz76\nqMBRCSGEGKpy7tr3/e9/n8rKSrZu3YppmnznO99h4cKFPa5TXl7OiBEj2LdvH+PHj+ett96ipqYm\n11AGjVh61r72SlT6/zHp2ifEkJJOmtIz9rmsLkmk+pHdbsc0TcaNG8czzzzDqFGjsnpMCCGEEPmU\nlyniFi1axKJFi3q1zl133cWtt96KpmmMGTOG+++/Px+hDAqZrn3OdCKVqkjFEtK1T4ihJKbFsVms\nWC3tM3RandRFGwsc1dB18803EwqFuPXWW/n7v/97gsEgP/rRjwodlhBCiCEq50SqqamJZ555hoMH\nD6JpxyoqjzzySI/rTZo0ieeffz7Xlx+Ujr8hryRSQgxNMT2Oo33acwCXzU0ilEA3dFSLWsDIhqZz\nzz0Xp9OJz+fjqaeeKnQ4QgghhricE6mbbrqJmpoaLrjgAlRVLgxORuaGvOlZ+9q79sWla58QQ0pM\ni2XuHwXgsbqA1CQUPvvwueXDQJk5cyYXXXQRl112Geedd15et51IJFi2bBnJZBJd15k7dy4rV67M\n62sIIYQYXHJOpAKBAD/+8Y/zEcuwEYlr2G0WrGpqrg9HuiKVlIqUEENJXE/gtXsyj902NwDhZFgS\nqX7w+9//nt/85jfcd999hMNhFi1axMKFC6murs5523a7naeffhqXy4Wu61x55ZXMmDGDs88+Ow+R\nCyGEGIxyTqQmTpxIXV0dVVVVvVpv1qxZeL1eLBYLVquVDRs25BrKoBGNa5mpzwGcNunaJ8RQY5om\ncT2eXZHKJFLRQoU1pBUXF3P11Vdz9dVXs2fPHp588klmz57NJ598kpftu1ypimIikcjqyi6EEGJ4\nyktF6tJLL+Xcc8/F4Th2wXCiMVKKovDMM89k3cx3uIjGNbwuW+ZxuiIVl0RKiCEjaSQxMbPGSLnb\nu/aFk+FChTXkGYbB9u3b2bhxI++8806vJ0I60bYvu+wyDhw4wLJly6QaJYQQw1zOidS8efOYN29e\nr9czTRPDMHJ9+UHHNE0iMY3KYlfmuUwiJV37hBgy4noCAIdqzzznsaW6+YU1qUj1h/vvv5/Nmzcz\nceJEFi5cyIMPPojT6czb9i0WCy+++CKhUIgf/vCH7N27lwkTJuRt+0IIIQaXnBOpvv7apygKN9xw\nA4qicMUVV7B06dJcQxkUEpqBbphddu2TipQQQ0dcjwNgz0qkjo2REvnn9/v5z//8T0aMGNGvr+P1\nejn//PN57bXXTphIVVT4+jWWwUzapmfSPj2T9umZtM/AyDmR2r9/P3fccQd1dXVs3bqVTz75hK1b\nt3LTTTf1uN6///u/U1FRQXNzM8uXL+e0005j6tSpuYZzykvP2Od2Hmt6m9WCoshkE0IMJV1XpNKJ\nlNwktj/88Ic/7LdtNzc3Y7PZ8Pl8xGIx3nzzTb73ve+dcL2GhmC/xTSYVVT4pG16IO3TM2mfnkn7\n9CyfSaYl1w38/d//PT/4wQ/w+VJBTZ48md/97ncnXK+iogKA0tJSLr74Yj766KNcQxkUIrH2m/F2\nqEgpioLDppKQipQQQ0aiPZHquiIlidRg09DQwLXXXsuCBQtYsmQJ06dPZ+bMmYUOSwghRAHlXJEK\nBoPMmDGDhx9+GEj1IbfZbD2uE41GMQwDj8dDJBLh9ddfHzb340hXpDomUgAOmypjpIQYQuI9JFIR\nGSM16Jxxxhls3Lix0GEIIYQ4heScSKmqSjKZRFEUAOrq6rBYei50NTY2snLlShRFQdd15s+fz/Tp\n03MNZVCItt90191FIiVd+4QYOpJGEsju2peetS8iFSkhhBBi0Ms5kbrqqqtYuXIlLS0t/Mu//Asv\nvvgit9xyS4/rjBkzhpdeeinXlx6UovFUsnR8RcpuUwlGE4UISQjRDzIVKcuxRMpqsWJX7ZJI9ZOm\npibuv/9+jh49yrPPPsvu3bv54IMPuPLKKwsdmhBCiCEo5zFSCxcuZMWKFVxyySVEo1EeeOCBPk2H\nPlyku/Y526c8T3PYLcQTBqZpFiIsIUSeHRsjld3V2W11EdFihQhpyLvrrrs477zzCAQCAJx22mk8\n99xzBY5KCCHEUJVzRQpg6tSpfZpxzzAMFi9eTFVVFY899lg+QjnlxXoYI2WYJrphYlWVQoQmhMij\nhJ7q2tdxjBSkEqmWeFshQhry6urquPLKK/mP//gPAOx2+wm7mgshhBB9lXMitXjx4sz4qI42bNhw\nwnWffvppampqCIVCuYYxaMTaZ+brVJGyHbspr1WVL34hBrtMRcqSXZFyWp3EwnWYptnluVP0ndWa\n/ZUWCASkyi+EEKLf5JxI3XbbbZl/x+NxNm/eTGVl5QnXq62tZfv27dx444388pe/zDWMQeNYItV5\njBSkbsrrcfY866EQ4tSXMDrfRwrAZXViYhLX4zitzkKENmTNmTOHe+65h3A4zAsvvMBzzz3H4sWL\n87Lt2tpa1q5dS2NjI6qqsmTJEq699tq8bFsIIcTglHMidf7552c9nj59+kkN7F2/fj1r164lGBxe\nNwxLz8zXuSKVqkLJFOhCDA1dTX8OqUQKIKrFJJHKs+9+97v813/9F4FAgO3bt3PNNdewYMGCvGxb\nVVXuuOMOJk+eTDgc5rLLLmPatGnU1NTkZftCCCEGn7yMkeooFArR2NjY4zLbtm2jvLycyZMn8/bb\nb+c7hFNaLNH1ZBPpilQiaQx4TEKI/EsYXY+RSidPMT0+4DENB5deeimXXnpp3rdbUVGRuZG8x+Oh\npqaG+vp6SaSEEGIYy+sYKcMwOHToEMuXL+9xnffff5+tW7eyfft24vE44XCYtWvX8uCDD+Yazikv\n3t61z9HDGCkhxOCX6GL6cwCX2p5Iycx9eXOi7461a9fm9fUOHTrE7t27Ofvss/O6XSGEEINLXsdI\nqarK6NGjqaqq6nGd1atXs3r1agD+8pe/8OSTTw6LJAqOjZFKJ05pxypSkkgJMRR0N/250+oAUl37\nRH643e4Be61wOMyqVatYt24dHo/nhMtXVPgGIKrBSdqmZ9I+PZP26Zm0z8DI+xgp0bPUrHxKp5n5\npCIlxNCSnv78+MkmnKp07cu3lStXDsjraJrGqlWrWLBgARdddNFJrdPQMLzGAZ+sigqftE0PpH16\nJu3TM2mfnuUzycw5kfrGN77R5RS+6al933zzzR7XP//884dVMhZP6J2qUSCTTQgx1KQnm7AdN/25\no70iFdMkkcq3UCjE//2//5e33noLRVH4xje+wQ9+8AO8Xm9etr9u3Tom1XvrUAAAIABJREFUTJjA\nddddl5ftCSGEGNxyTqSuvPJKWltbueKKKzBNkw0bNuD3+/M25exQE0/qmW58HTlksgkhhpSEkcCu\n2jv90ORS2xMpXbr25du6devwer3cddddmKbJxo0bWbduHY8++mjO237vvffYtGkTp59+OgsXLkRR\nFG655RZmzJiRh8iFEEIMRjknUtu3b+eFF17IPL777rtZvHgxq1atynXTQ1IsoeNzd75PVDqRSo+h\nEkIMbnE93qlbHxyrSMWlIpV3e/bs4be//W3m8Xnnncff/M3f5GXb5513Hrt27crLtoQQQgwNOSdS\noVCI5uZmSktLAWhubiYUCvW4TiKRYNmyZSSTSXRdZ+7cuQPWx73QEkkdu63zvWPsdplsQoihJKEn\ncVg6J1LOTEVKEql8q6yszPo+amlpOeHkR0IIIURf5ZxIXXfddSxYsIBvfetbQKpC9f3vf7/Hdex2\nO08//TQulwtd17nyyiuZMWPGkJ9K1jBMEpqBs4eufTJGSoihIa4ncDv8nZ53SCLVb0pKSrK+j7Zt\n28bUqVMzs8Lmexp0IYQQw1vOidSyZcs477zzeOeddzBNk2XLlnHGGWeccD2XywWkqlOapuUaxqCQ\nTpKOv4cUkEmuJJESYvAzTZO4Hs9Mdd6RU7r29ZsJEyYwYcKEzOOlS5cWMBohhBBDXc6JFMDo0aPR\ndZ2zzjrrpNcxDIPLLruMAwcOsGzZsiFfjYJj3fa6nLWvPbmKyxgpIQY9zdAwTCNTfero2PTnMtlE\nvg2XLuJCCCFODXmZbOKee+5BVVW2bt3KRx99xP/5P/+Hxx57rMf1LBYLL774IqFQiB/+8Ifs3bs3\n65fEoSjWQ0Uq/VxMKlJCDHrpqc+7mmzCKdOf95tYLMZvfvMbDhw4kNXTIR9d+tatW8e2bdsoKytj\n06ZNOW9PCCHE4Gc58SI9e/TRR9mwYQNFRUUATJkyhQMHDpz0+l6vl/PPP5/XXnst11BOeelqU1cV\nqUzXPqlICTHopatN6epTRxbFgt1iIy5jpPJu5cqVvPLKK6iqitvtzvyXD5dddhm/+MUv8rItIYQQ\nQ0NeuvZVVFRkPbbbO/8K21FzczM2mw2fz0csFuPNN9/ke9/7Xj5COaWlpzZ3dlGRslktWBRFpj8X\nYghIV5scXYyRAnBanVKR6gdHjx5l8+bN/bLtqVOncvjw4X7ZthBCiMEp50TK4/HQ2NiYuenk22+/\njc/n63GdhoYGbr/9dgzDwDAMvv3tbzNz5sxcQznlpSeS6CqRUhQFh12VREqIISA9I5+rizFSkOre\nF9VkjFS+TZw4kfr6eiorKwsdihBCiGEg50RqzZo1rFixgkOHDnHNNdewf/9+fvazn/W4zhlnnMHG\njRtzfelBJ9ZD1z5IJVixxPCYwVCIoSyqRYFU5akrTtVJa6xtIEMaFlauXMnSpUuZNGkSDsexJPaR\nRx4pYFRCCCGGqpwTqXPOOYenn36a999/H4Bzzz03M15KZIvFU0lSV5NNALgcVgLhxECGJIToB+lq\nk6u7RMrqJGEk0Q0d1dL1+UD03tq1a5k1axZnnnkmqnpqtGtFRc89NIYzaZueSfv0TNqnZ9I+AyOn\nRErXdS6//HI2btzYq655tbW1rF27lsbGRlRVZcmSJVx77bW5hDIopCtSbkfXze6yq9Q1a5immekq\nKYQYfCLtFSmX1dXl310dbsrrseRnMgQByWSSe+65p9+2b5pmr9dpaAj2QySDX0WFT9qmB9I+PZP2\n6Zm0T8/ymWTmNGtfemakeLx3g6ZVVeWOO+7g5Zdf5t///d959tln+eyzz3IJZVCItnfbc3aXSDms\n6IZJUjMGMiwhRJ5Fk6lEymPrOklKd/mTcVL59ZWvfIVPP/20X7a9Zs0avvOd77Bv3z4uvPBCnn/+\n+X55HSGEEINHzl37xo8fz7Jly5g7d27WNLPLli3rdp2KiorMTH8ej4eamhrq6+upqanJNZxTWize\n/WQTcCzBisY17N2MoxJCnPrCWgQAdzcVKUmk+seOHTtYvHgx48ePzxojtWHDhpy3/U//9E85b0MI\nIcTQknMipes6EydO5PPPP+/T+ocOHWL37t2cffbZuYZyyovEk0D3Xfs8Tmv7chp+b9ezfQkhTn2h\nRCqR8tg8Xf7d3Z5Ixdq7AIr8uPPOOwsdghBCiGGkz4nUP/7jP3L77bdz//338+c//5lp06b1ehvh\ncJhVq1axbt06PJ6uLziGkkgs1bXP7bR1+fd0ghWOycx9QgxmoWQIAJ+96/OaVKT6x/nnn1/oEIQQ\nQgwjfU6k3n777cy/H3rooV4nUpqmsWrVKhYsWMBFF13U1zAGlUj7rH3dVaTc7RWpcDQ5YDEJIfIv\nmAhhV+3Y1a5vTp7u8heRilReBYNB/vVf/5Vdu3Zljd19+umnCxiVEEKIoarPk010nL2oLzMZrVu3\njgkTJnDdddf1NYRBJxzVcNhUbNaum93rSlWqwjFJpIQYzIKJIEU2b7d/T8/mJxWp/Fq3bh0Wi4X9\n+/ezdOlSVFUdFt3GhRBCFEafK1KJRILPPvsM0zSz/p02YcKEbtd977332LRpE6effjoLFy5EURRu\nueUWZsyY0ddwBoVwLJmpOnUlnUiFIpJICTFYGaZBIBHiNP+4bpfJVKSSkYEKa1j44osv+Jd/+Re2\nbNnCvHnzmDNnzrC4tYYQQojC6HMiFYvFWLFiReZxx38risKWLVu6Xfe8885j165dfX3pQSsYTVJV\n3PUsXgA+tz2znBBicAokgpiY+B3d35jc3T4teli69uWV3Z46h9psNlpbW/H7/TQ3N+dt+6+++irr\n16/HNE0WL17M9773vbxtW4i+CkWThKNJqkrzc0+6eFLHcYKZg0PRJM2BGKMrvVhyuO9lWyiOqloy\nPyTnSzyho6oKVjWnu/yclKRmkNSMHn8oH+wMw8RikfubdqXP7/rWrVvzGceQl9QM4gkdTw8nC587\n9bdAODFQYQkh8qw13gZAscPf7TIem1Sk+sOXvvQlWltbmT9/PldccQU+n4+zzjorL9s2DIMf//jH\nPPXUU1RWVnL55Zcze/bsHm/boesGnx5ooaLYhcOu8vmRAOOqfRS1/2gWjiVJJA1cDhWn/djXcVso\njtdtQ7V0vgiMxDSicQ2/104gnKDE58jcf9BpV1EUhUP1IbxuG8VeB+FYEl03KfJ0PV6v036aJgpg\nkhqv63XZUBSFpKZjVS1ZN4tPagaNbVGKvQ5cXYz91Q0DXU/dYF43DEKRJJG4xuhKL4ZhdnrNjts+\n2hTG7bAST+qU+10YpsmnB1vxOK18qbr7HykA2sIJPj3QwuljiilunwG3ORDD5bB2GWdPEkmdaELH\n57Kx93AbboeV0ZVeTDO1X5pu0NAapaLYRV1LlFKfA4dN7fGiM6npBCNJSnwOFEUhGtcwTBOHTc1c\n+KcvzhOazq79LUwY7c/sC6QubMOx1Pvz8b4mAIo8dmqbI5T7nXictk4xmKZJIJzgSFOEmpFFXd5m\nJRRN8vG+JkaVexlT6cUwTRrbYjS3xbBYFEzT5IyxJZnX9HvsmVmGDdPEoigYhklDWxSHTcVhUzNt\nrukGFkXBxMQwQFUVdh1oAcBpsxJLapw+uhif245VVdB0s8uhEEnNQNMNYgmNRNLgaFMYm1Vl/Ahf\n+7Fq8MHeBrwuG18eX9blexAIJ3A5rJnta7rBh3ubUFWFs2vKMsmhphvUNkWoLHFht6mYpommm6gW\nJdO+H3/eRFzTmXpGZVbitr82gMOmUupzYrUqqBYLumEQjescbghhmjBpXEm3x8nxgpEEJhCLa7id\ntqzkM5FM3V7HblNJajqxhJa1nsthJZHUcTmsWZ+zE4knddpCcfYdDTK2yktpkRObakm9l5YTJ6qm\nmTo3WSyp48JuUznaFAZSE68dbggxtsqXuS2QphuZc6FhmLSG4hR7HWi6kTledSN1HCmKQkNrlIRm\nYFMVHHYrfo+dprYYVlXB73WgGwaBcBLTNCktcp70fvfG0E2fTzHBSCo58vfwZeb3pE5GkkgJMXi1\nxFKJVEmPiVRqNr+wJFJ59dBDDwGwfPlypkyZQjAYzFuX8R07djBu3DhGjRoFwCWXXMKWLVt6TKRe\n//AIgVCcltCxiS927m/Gpqokdb3H13ParIwod1PbFCGa0DJJlW50f8N21WLB47QSiHT+DrEoCl8e\nX8YXtQHCMY0yv5Nir4PWUBy7TcXjtGJVLXx6oIWkbnTarm4Y+Nx2yv1ODMPE7bSx64tUte+LuiA2\n1YJhpi5+itw22rqIIe1IU5jy0hCqaTKizM2+IwGiCZ3RFR6icZ2WUDzrQrAleKwNg5EEfo8D0zQ5\n2hwBE8ZWedlfG8TttGK1WGhsi2KYJrsPtOB22DK3HlFQGFnuIakZ6IaBzWqh3O/iYF2QYDSJRVHQ\n2tvXarEwYbSf3e0X+mnNQTjUGOq0T1/UBQE4WB/EYVUpKXJQ25z6fJd4UwlTOJokrh17390OG7FE\nKolKO310MR6njfd311HfdOx1dh9oYdLYEpx2lc8OBwhGO7fvh581AlDXEkFBYcIoP5G4hsuhcqQx\nnErO2t/bPYfbsABt7e2Z1IxMOwEcbgxR3xLt8jg93BjO/HtXexuX+50cqA+mEqkO+2NRFMZUeokl\ndOpauj/fxZKp9/t/DrVmPV9Z7MZus2AYJoFIglB7j52io0ECweyKfmsozqgKT2aG5FA0yY7PmjJt\nPK7KB8DB+lAmRqvFgmYY2FQLSd0gqcNfdtUB4HHaMmPWj3/PHTYVj9NGMJLItOmnB1sJRhJUFLto\naD0WW/rYqCx2U9+a3Qb7jgbwe+wYhsmRpgixhEax14FVtVBe7OTzIwFiCQ2fy97pPZ8w0k9dS5Ro\nXMsct2lFvlCn9oHUEJJwVMPrsnH6GD9HmyLYbSqxhEZZkROXw5qa8Kw9If704LHj/4u6YGZfjuf3\nOBhTmRoXrFoUdh9oIZ7s+RyXlk7K084+rRwTkz0H2zLHRZrDqmY+Q8UeB63heNbfz6kpZ8/h7GPo\neFUlbioqfCcV28koWCK1bt06tm3bRllZGZs2bSpUGAMm/cXmdXdfkXI5VOxWC60hSaSEGKxa4qmT\neImz+18a7RYbNouVUDLc7TKi7wKBAK2trYwePRpVzc/Nzevq6hgxYkTmcVVVFR999FGftnWiJApS\nF5b7jgYyj3tKoDou01USBalqwY7PGzOP61oiPV7YHr9dSCUxwW623zH56imJSkskDQLBaFYMn3fY\n3446JqJA1sUdwCf7UwldVxM1dUwOTEwOH3dBnE52gKwEQDOMTknUyYpretZ2j4+/q9jS0olEka/z\nMIDexGNi9nhB2fF9bAt3HV93x+nB+uyL6Ug8yYH61L4Yx00+ZphmtxffJ+P4xKMnCU3P+sykY0vr\nKo50AnL8jwfQ88Rf8aTeKVFIt2nHJKqjrvalq89hczDWafmuEue9R9q6ja876UQ0GE3w3v80ZP2t\n4zHbW23hOG37uj6Oeqvjeep4HX+IOD6JgmM/JvTkZM97J6tgidRll13GNddcw9q1awsVwoBqa0+O\ninu40a6iKJlfCIUQg1NLLJ1IdV+RUhQFr81LMNH5l23Re7feeivf/e53mTRpEq2trSxYsACv10tL\nSwu33HILS5Ysyfk1+jI7LaQuiE8fW8LRpjBfGlHEp180k0imLtq+MWUETW1R9hxIHTNup5VITGNM\nlY9QNEFLIPu7oMzvpCUQp6rMTZHHzqH6EDbVgsOuUtd+EXTaKD+fH86+wJo4ppg9B49dVPvcduJJ\nnURSZ0S5h2Ak0eUkR+XFLtxOKwdqUxegHpet0+05PC4bum4QS+icMa6EQDjB0caufyAYVemlyG1n\nV3vi0zFZKC1y0hw4NotlkceOxZL6TjzcECKppSpi4Vgyq1tgmtuZ6rbX1BbDZrXwpRFF1LdEMt+9\naXabitthzfqeVRTo6e2dMKaY1mAcv9fOZ4fau+56HdSM9vPe7vqsZavLUlXEtHSXpo7OOq2MEl/q\nuz4QTtAajHfZEyXdPqePLSGp6dQ1RzLVluOpqoJFURhd6aW+JdrjbVTOTFcmOyyjKFBd5qE1mKoG\ndmyPMr+TprbsGUary9y4HFb2HQlQ6nfS3P73UZVe4olU1zKn3UpjF0nFqAovoyq9hCJJAuE4h+p7\nPg921YYAX55YiWpRKPI4CEUTRGIadU0RDNOkvNjF6WOLaQnGcdqt1LdEONz+On6vHdPM7v3jsKuM\nrfZR1xQhqRlE412388gKDzaryuGGEJqW+hy7nFaix70vI8o9jB/p58M9DZ3aubQouz1HV3qz2kBR\nwOtK9V4yTLPH99LvteOwWbHbLLSFEiQ0ndPHlnTZ7mdPKGfH3hMnGl3ts8dpw+mwcrghlOoWabcS\niSdxO22MKPNwsC6YabNirwOLqoCZSujHj/Sza18zVtWC06FiURTqmiNUlrhpDsRQVYV4IjsptVgU\nzhhbQjSupT4fkUTmGFAUqCxxU98SwTTh7InlYNJp3+w2NdPlEcDnsROLayS1E/8o1RsFS6SmTp3K\n4cOHC/XyA64tfOKufQDFPgd7Drai6caADJIUQuRXcyz1q3FpDxUpgCK7j8Pho5mxFqLvdu7cyaRJ\nkwB46aWXqKmp4cknn6S2tpbvf//7eUmkqqurOXLkSOZxXV0dlZWVPa5z7hmVxCNxMA3GlLrQ40lq\nqrwcaggTT+gEWiPYgMmjizBNssa0eG0Oip3WzLintAqfPTV+wzAYV35scgGHxY1FAacltb3sY8qk\nqshBMJpgXFVqHIlhmJlxB8VOFb3YSWNbjCK3rdNN48dXelAUcNqtmfEpraE4ZUVO7DYV3TBIJA1U\nw6DEZcU7wofNmupilx4z43HZcDlU0HXOHOPH53fR0hxuTypNnA4rTS1hij12RlVk3zqgpjo1pir1\nnegintSxW1Pjtepbo3icVjztMVf4Ut2krJiMKnFRVdQ+fscwiSX0zFixkSVOTNOkNZTAZrVQ2xyh\nsS1KzUg/ZUVOInGNPQdbqSh2Ycek0pdab2y5m0gsSWWJk2g4Tk21l0RSJxBJUlXiSo0j052EokmK\nPHZ8LhuKkppESiE1xs1MajQ3a+3vswVXsYNAIEpliQvDMDlYH+K8s0aC1n5xbhpYVYUvVXgyF5MW\nS2p81v9r795jmrz/PYC/n15oS2m5taVF/clQjDjR/M6c7gyPMcCoCihE2XZ2domauXmyeSNzm4tb\nMrwk+pvJEpPj0M1l55gty4bmnLF4EnEKxtt0E7ep29HD7yDOFpFLC5SW9vmeP0orl1JouXwpfF6J\niTTPQz/Pt18+fb7P8/1+Hu8AX+i1lmi6Lhq1921QKWTQRMvR0uZCgkYBl1tElEwCuN2YrouGyBgY\nY/5Bk0wqQbxKBo/oXdPt7BIRr/G2nz4mCp3dU0x9RRwYY0gzxUAuk0IqevtSrEIKKKQAvJ+D3e5A\nnFqBJnsnTIlqOF0exCqlaLN5T/S1CinmTItFS5sTaqUMcpm01+eliJL4p7U2NHdAq45Cp8uDmSmJ\naOy+u9jV6YJCABQqGeKnatHR6UaUXIKW5g4I8N7FiFVIEWVQw9bhgiFO6f0biFPCI4qP1v4xhqkJ\n3sGr2yNCKvH2L9+aoASt0n9e9pg+GvaOrl7rbkSRocPp9q9damlu7/U32nO7xqZ26LRKf4GQOdNi\nYW3uQIxK7u/LPu2dXWiyOWFKjPZ/ToFoFd7YPc4u/CVJg/r7rdDFKv1TWN3OLqTo1ZBIvFMTW9td\nsHd0wZQYDalvvVdtE9o7u2BKUPvX7ccpZQAYPM4uGLUKGHw5CCp//3zMoEZ9QxukUgGm+N5rkTrb\nnXjM8Ojh9CJjiJapoVLIoIt5dKwNzR1wda8NTDFqIHg8iJYJiI5XIjleCbdH7LUWNFHtvVjp7r5z\nmGbSQGQMri4PlFFSyGVSiIyhq0uEonsNlsjYgIPkcNEaqTHSbPde/YrTDHxHCgAStUr8AaDJ7oQh\nSIU/Qsj49LCzGXKJDJogz5ECAK1Cg/+z30WH2wG1fGSqbU1WCsWjvHr16lX/Q96NRuOIDVIzMjJQ\nV1eHe/fuQa/Xo6KiAgcOHAi6j1YdhQcdve8qCd1rRvq+1jdMQRACFkYYqEJaz4XngY45MVaJxNhH\nJzgSiYAoidS/vUwqwDhA1beecchlEshlkl6vSSUSqBSSXtsAgC524O8wZZR3TVbPk8LHUxICbisR\nBO8V7m49K8r1/Z7su63/90vRr7iCIAj+gcKMZC30sUpo1VHeO8YqOf46S98vlhhV70X+voIKvqq7\nABCvUfh/r4+vwEjP7XykEgnm9Dh2Q3w09PEqPHjQfypaz8F2sIutj5keFeTwnZir+px+SAQB/Tpe\ndzzRSgmie5wPSyRCvwG2IAj+gY8+wPmKRCJgRrL3ZNfX9waqztd3to73/Xr3f0O8t38qo4IXTBio\nel7fYiMSiQCJJPDUX1/bJsUH/puQy6RI0PbeVyIRhlR9UCIRAvb1gd5Lrew/uBqMUiFDRmr/Qhs9\n2yYuRtGv3ec+lgCRsYCFbnwGykFTDcG/83ruHyi3GQY4fp+++aIvX97pmR8kguAfRPl+DrUtB0O3\nPMaIb8pCwiADKX2cN9kEui1LCBn/HjqakKBMGPQE3leMwlfljwyP1WpFZ2cnLl++jIULF/pfdzpH\nZqq0VCrFzp07sW7dOuTn5yMvLy9ooQkSWQTBW+WL7g6TyUwQhKCDKNIf3ZEaI43d82EHK7/ou6pj\nbXZgTspoR0UIGUkdXR3ocDuCPozXJ1HlvSLZ6HiIKTGmQbYmwWzYsAGFhYWQy+V44okn/A+Ev3bt\nGpKTk0fsfZYsWTLhHxxPCCFk6LgOpMJdvBuJGpod3YsCg1eQMiV655EOtFiXEDJ+NTi8i131Kt2g\n2/q2sbY/APrPICIhWL58ORYsWIDGxkb/WikAMJlMKC0t5RgZIYSQiYzb/buSkhI8//zzqK2txdKl\nS/Htt9/yCmXUOV0eNNk6YRrCU8eTddEQ4H3OASEksljavRW8ktSDj4x8d6Hq2iZP0Z3RpNfrkZ6e\n3mtqVlJS0ojekSKEEEJ64nZH6qOPPuL11mPu7oM2MAxtIZ4ySgaTTo2/W+xUuY+QCPNnmwUAYFIb\nB902URkPTVQM7rTUUuU+QgghJALRWfoYuNP9TI/UHlV0gpn9lzg4uzy9nvtBCBn/6uz1ECAMac2T\nIAiYHZ8Gm8uO+rb7YxAdIYQQQkYSt4FUVVUVli1bBrPZjLKyMl5hjIk/ugdEaVPjhrT9k7O9zyY5\nW/PnIFsSQsYLl6cLf7fVwaROgkoWvKiMz1xdOgCg5sGvoxkaGaaTJ08iPz8f6enp+O2333iHQwgh\nZJzgMpASRRGlpaX49NNP8d1336GiogJ37tzhEcqoc3tE3KprgT6u9zM8gpk1LQ7TDDH48VYD7j+k\nohOERIJLlqvoEt3+wdFQzE1MR5Q0ChfvX4FH9Ay+A+Fi1qxZOHjwIJ588kneoRBCCBlHuAykrl+/\njunTp2PKlCmQy+XIy8tDZWUlj1BG3R93W+BwujE3wIPRBiIIAlZmpoAx4N//+3e0ObpGMUJCyHDV\n2erxzf/8J5RSBZZM+cch76eUKfCU8Qk0O1two+n3UYyQDEdqaipSUlImVaVZQgghg+MykLJarTCZ\nHq0hSEpKQkNDA49QRpXIGI5X/S8A4Kk5SSHt+w+z9Phrmg636lpQ9l80lYSQ8crl6cKnv/4H3KIb\nax9/AfHKoU3h9TGnZOEJw3wYoqkGOiGEEBJJuFTtmyxX9ZwuDyxNHfineaYhr4/yEQQB/1o0Fz/8\ndA+a6KhRipAQMlwujwsMDKtSl4c0rc8nThGLdXP/ZRQiI6FYu3YtGhsb+72+detWZGVlcYiIEELI\neMdlIGU0GvHnn48KKVitVhgMhqD76PWa0Q5rVHy1O29Y+//z8tgRioQQMhr00ODfpuzhHQYZpqNH\nj47K743U766xQG0THLVPcNQ+wVH7jA0uU/syMjJQV1eHe/fuweVyoaKiAtnZ2TxCIYQQQoZsssyo\nIIQQMjiBcfpWqKqqwu7du8EYw5o1a7BhwwYeYRBCCCFBnTp1CqWlpWhuboZWq8Xs2bNx5MgR3mER\nQgjhjNtAihBCCCGEEEIiFbcH8hJCCCGEEEJIpKKBFCGEEEIIIYSEiAZShBBCCCGEEBKiiBpInTx5\nEvn5+UhPT8dvv0XmQ2qrqqqwbNkymM1mlJWV8Q5nWHbs2IGnn34aBQUFvEMZNovFgpdffhkrVqxA\nQUEBvvjiC94hhc3lcqG4uBiFhYUoKCjAwYMHeYc0bKIooqioCK+//jrvUIYtKysLK1euRGFhIdas\nWcM7nGGx2+3YtGkTli9fjry8PNTU1PAOaVyYSHk+XAPl1NbWVqxbtw5msxnr16+H3W7377Nr1y7k\n5uZi1apVuHnzJq/Qx0zfvFZfX49nn30WZrMZ27Ztg9vtBuDN6Vu3bkVubi6ee+65Xo+PmcgC5Rfq\nP16ff/458vPzUVBQgJKSErhcrknffwKdk4bTX44fPw6z2Qyz2YwTJ04M/sYsgty5c4fV1tayl156\nif3666+8wwmZx+NhOTk5rL6+nrlcLrZy5Up2+/Zt3mGF7ccff2Q3btxg+fn5vEMZtoaGBnbjxg3G\nGGNtbW0sNzc3oj+bjo4OxhhjbrebFRcXs5qaGs4RDc/Ro0dZSUkJe+2113iHMmxZWVmspaWFdxgj\n4u2332bffPMNY4yxrq4uZrfbOUfE30TL8+EaKKfu27ePlZWVMcYY++STT9j+/fsZY4ydOXOGvfrq\nq4wxxq5du8aKi4v5BD6G+ua1zZs3s++//54xxtj777/PvvzyS8YYY8eOHWMffPABY4yxiooKtmXL\nFi7xjrW++cVms1H/YYxZLBaWlZXFnE4nY8zbb8rLyyd9/wl0Thp2G7gyAAAGo0lEQVRqf2lpaWHZ\n2dnMZrOx1tZW//+Diag7UqmpqUhJSYnY53hcv34d06dPx5QpUyCXy5GXl4fKykreYYVtwYIF0Gq1\nvMMYEXq9Hunp6QAAtVqNGTNmoKGhgXNU4VOpVAC8V6J8V6UilcViwdmzZ1FcXMw7lBHBGIMoirzD\nGLa2tjZcuXIFq1evBgDIZDLExMRwjoq/iZbnwxUop1qtVlRWVqKoqAgAUFRU5G+byspKFBYWAgDm\nz58Pu92OxsZGPsGPgUB57eLFizCbzQC8bXPq1CkA6NVmZrMZFy5cGPuAx1ig/KLRaKj/dBNFEQ6H\nA263G52dnTAYDLh06dKk7j+BzklD7S/nzp1DZmYmNBoNtFotMjMzUV1dHfR9I2ogFemsVitMJpP/\n56SkpIg+WZ+o6uvrcevWLcybN493KGETRRGFhYXIzMxEZmZmRB/Lnj17sH37dgiCwDuUESEIAtav\nX4/Vq1fj66+/5h1O2Orr6xEfH493330XRUVF2LlzJzo7O3mHxR3l+f58OXX+/Pl4+PAhdDodAO9g\nq6mpCQDQ0NAAo9Ho3ycpKQlWq5VLvGOhb15rbm5GbGwsJBLvaZnRaPQff8+2kUql0Gq1aGlp4RP4\nGAmUXxwOB/UfeI9t7dq1WLp0KZYsWQKNRoM5c+ZAq9VS/+mjqalpSP3F116B8vdg/WjcDaTWrl2L\ngoKCfv9Onz7NO7Rhi9Q7aZNJe3s7Nm3ahB07dkCtVvMOJ2wSiQQnTpxAVVUVampqcPv2bd4hheXM\nmTPQ6XRIT0+fMH8/X331FcrLy3H48GEcO3YMV65c4R1SWNxuN27cuIEXXngBx48fh1KpnLTrgXqa\nKP10pPTNqQNdEAnUbhPl4klfgfIaY6xfG/iOv+/rjLEJ2zY+ffOLSqVCWVkZ9R8ANpsNlZWV+OGH\nH1BdXQ2Hw4Gqqqp+203m/jOYgdoknH4kG9HIRsDRo0d5hzBqjEZjr0V+VqsVBoOBY0SkJ7fbjU2b\nNmHVqlXIycnhHc6IiImJwcKFC1FdXY2ZM2fyDidkP/30E06fPo2zZ8/C6XSivb0d27dvx759+3iH\nFja9Xg8ASEhIwDPPPINffvkFCxYs4BxV6IxGI4xGIzIyMgB4p4wcOXKEc1T8UZ5/JFBOTUxMRGNj\nI3Q6HR48eICEhAQA3iu/FovFv6/FYpmw7RYor+3Zswd2ux2iKEIikfQ6fl/bJCUlwePxoK2tDbGx\nsZyPYnT1zS+5ubk4fPgw9R8A58+fx7Rp0xAXFwcAyMnJwc8//wybzUb9p49Q+4vRaMSlS5d6vf7U\nU08FfY9xd0dqqCLxql9GRgbq6upw7949uFwuVFRUIDs7m3dYwxKJn8NAduzYgZkzZ+KVV17hHcqw\nNDU1+SvTdHZ24sKFC0hNTeUcVXi2bduGM2fOoLKyEgcOHMCiRYsiehDlcDjQ3t4OAOjo6MC5c+eQ\nlpbGOarw6HQ6mEwm1NbWAvCu75gxYwbnqPibiHk+XIFyalZWFsrLywF4q2P52iY7O9tfIevatWvQ\narX+KTkTTaC89re//Q2LFi3CyZMnAfRum6ysLBw/fhyAt3rxYCd2E0Gg/DJz5kzqPwCSk5NRU1MD\np9MJxhguXryItLQ06j/of04aan9ZvHgxzp8/D7vdjtbWVpw/fx6LFy8O+p4Ci6Az4VOnTqG0tBTN\nzc3QarWYPXt2xF0Braqqwu7du8EYw5o1a7BhwwbeIYWtpKQEly5dQktLC3Q6Hd58803/wtBIc/Xq\nVbz44ouYNWsWBEGAIAjYunUrlixZwju0kP3+++945513IIoiRFHEihUrsHHjRt5hDdvly5fx2Wef\n4dChQ7xDCdvdu3fxxhtvQBAEeDweFBQURHQOuHXrFt577z243W5MmzYNe/fuhUaj4R0WdxMpz4dr\noJw6b948bNmyBffv30dycjI+/vhj/wLxDz/8ENXV1VCpVNi7dy8ef/xxzkcx+nrmtbt372Lbtm2w\n2WxIT0/H/v37IZfL4XK58NZbb+HmzZuIi4vDgQMHMHXqVN6hj7pA+cXj8VD/AXDw4EFUVFRAJpNh\nzpw52LVrFywWy6TuP4HOSXNycrB58+aQ+kt5eTkOHToEQRCwceNGf1GKgUTUQIoQQgghhBBCxoOI\nndpHCCGEEEIIIbzQQIoQQgghhBBCQkQDKUIIIYQQQggJEQ2kCCGEEEIIISRENJAihBBCCCGEkBDR\nQIoQQgghhBBCQkQDKUIIIYQQQggJEQ2kCCGEEEIIISRE/w+yAa6kPGZLsAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2b9d27bf28>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, varnames=['w', 'mu']);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Assigned NUTS to w_stickbreaking_\n",
"Assigned NUTS to mu\n",
"Assigned NUTS to tau_log_\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n",
"WARNING (theano.tensor.blas): We did not found a dynamic library into the library_dir of the library we use for blas. If you use ATLAS, make sure to compile it with dynamics library.\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-------100%-------] 1000 of 1000 in 165.9 sec. | SPS: 6.0 | ETA: 0.0"
]
}
],
"source": [
"with model:\n",
" start = pm.find_MAP()\n",
" nuts_trace = pm.sample(1000, start=start)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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nT3AyWH3hh8kw0gfdMPCFE2jD9zS2b7qhk1GzZedXotjWmqyQmqoMSqQVdh4N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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2b58817748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(nuts_trace, varnames=['w', 'mu']);"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.50495154, 0.49504846])"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trace['w'].mean(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.498"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"component.mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Zero-Inflated Poisson"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"P_EXCESS_ZERO = 0.3\n",
"LAMBDA = 5."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"x_zip = np.where(np.random.uniform(0., 1., size=N) < P_EXCESS_ZERO,\n",
" 0.,\n",
" np.random.poisson(LAMBDA, size=N))"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f2b84e67208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"ax.hist(x_zip, bins=int(x_zip.max() + 1), lw=0);"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Applied stickbreaking-transform to w and added transformed w_stickbreaking_ to model.\n",
"Applied log-transform to lambda and added transformed lambda_log_ to model.\n"
]
}
],
"source": [
"with pm.Model() as zip_model:\n",
" w_zip = pm.Dirichlet('w', np.ones(2))\n",
" lambda_ = pm.Gamma('lambda', 1., 1.)\n",
" \n",
" x_obs_zip = Mixture('x_obs', w_zip, [pm.ConstantDist.dist(0), pm.Poisson.dist(lambda_)],\n",
" observed=x_zip)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" [-------100%-------] 10000 of 10000 in 6.4 sec. | SPS: 1569.3 | ETA: 0.0"
]
}
],
"source": [
"with zip_model:\n",
" zip_trace = pm.sample(10000, pm.Metropolis())[5000::5]"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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D4BgOFnUNVAoV9LwOaTGNrmAv6rU26JU6uSLrjfthVplw0HUEwGgwfE79BqTFNMJCBEal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c6NVKUnn3O0uUPwh6I4dqEdDqtepPABylaEMu2hdHVIbnIvHw+9HD2z0OoOpX3X1B7AhRZBrJhA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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f2b58817cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(zip_trace, varnames=['w', 'lambda']);"
]
}
],
"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"
},
"widgets": {
"state": {},
"version": "1.1.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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