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@AustinRochford
Created February 28, 2017 01:37
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GMM Metropolis Possible Bug
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:40.768241",
"start_time": "2017-02-22T17:42:39.514793"
},
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:42.921185",
"start_time": "2017-02-22T17:42:40.769221"
},
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import theano\n",
"import theano.tensor as tt\n",
"import pymc3 as pm"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:42.939582",
"start_time": "2017-02-22T17:42:42.924202"
},
"collapsed": false
},
"outputs": [],
"source": [
"def n_triu(d):\n",
" return (d-1)*d/2\n",
"\n",
"def n_triu_inv(t, module=np):\n",
" return int(1/2*(1 + module.sqrt(1 + 8*t)))\n",
"\n",
"def make_cov_matrix(sigmas, C_triu, module=np):\n",
" D = len(sigmas.tag.test_value if hasattr(sigmas, \"tag\") else sigmas)\n",
" C = module.ones((D,D))\n",
" Sigmas = module.diag(sigmas)\n",
" # indices are always numpy\n",
" idxu = np.triu_indices(D, 1)\n",
" idxl = np.tril_indices(D, -1)\n",
" if module.__name__ == \"theano.tensor\":\n",
" C = tt.set_subtensor(C[idxu], C_triu)\n",
" C = tt.set_subtensor(C[idxl], C_triu)\n",
" elif module.__name__ == \"numpy\":\n",
" C[idxu] = C_triu\n",
" C[idxl] = C_triu\n",
" return Sigmas.dot(C).dot(Sigmas)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# data "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:42.968660",
"start_time": "2017-02-22T17:42:42.941588"
},
"collapsed": false
},
"outputs": [],
"source": [
"D = 2\n",
"K = 3\n",
"mus = np.random.normal(scale=3, size=(K, D))\n",
"sigmas = np.random.uniform(high=1, size=(K, D))\n",
"covariances = np.empty((K, D, D))\n",
"for k in range(K):\n",
" corr = np.random.uniform(low=-1, high=1, size=int(n_triu(D)))\n",
" covariances[k] = make_cov_matrix(sigmas[k], corr)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:43.295624",
"start_time": "2017-02-22T17:42:42.971668"
},
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.5/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n",
" (prop.get_family(), self.defaultFamily[fontext]))\n"
]
},
{
"data": {
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ky53JuDqWoihQFCAkhyHLYd3XGb3OTOmJXdPt6FcfGU+pnpzR+qrWGnSJs2Sw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\nJiIiEoiBmIiISCAGYiIiIoH+P2diOIjLgbodAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f18e0c60400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N_samples = 50\n",
"plt.figure()\n",
"data = []\n",
"for mu, cov in zip(mus, covariances):\n",
" nxy = np.random.multivariate_normal(mu, cov, size=N_samples).astype(\"float32\")\n",
" data.append(nxy)\n",
" plt.scatter(nxy[:,0], nxy[:,1])\n",
"\n",
"data = np.concatenate(data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# model"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:43.303644",
"start_time": "2017-02-22T17:42:43.297655"
},
"collapsed": true
},
"outputs": [],
"source": [
"init_mean = np.mean(data, axis=0)\n",
"init_sigma = np.std(data, axis=0).astype(np.float32) / 10\n",
"idxu = np.triu_indices(D, 1)\n",
"init_corr = np.corrcoef(data, rowvar=0)[idxu].astype(np.float32)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:43.329218",
"start_time": "2017-02-22T17:42:43.304651"
},
"collapsed": true
},
"outputs": [],
"source": [
"def multivariatenormal(init_mean, init_sigma, init_corr, suffix=\"\", dist=False):\n",
" if not isinstance(suffix, str):\n",
" suffix = str(suffix)\n",
" D = len(init_sigma)\n",
" \n",
" sigma = pm.Lognormal('sigma' + suffix, np.zeros(D, dtype=np.float), np.ones(D), shape=D, testval=init_sigma)\n",
" nu = pm.Uniform('nu' + suffix, 0, 5)\n",
" C_triu = pm.LKJCorr('C_triu' + suffix, nu, D, testval=init_corr)\n",
" cov = pm.Deterministic('cov' + suffix, make_cov_matrix(sigma, C_triu, module=tt))\n",
" \n",
" mu = pm.MvNormal('mu' + suffix, 0, cov, shape=2, testval=init_mean)\n",
"\n",
" return pm.MvNormal.dist(mu, cov) if dist else pm.MvNormal('mvn' + suffix, mu, cov)\n",
"\n",
"def stick_breaking(beta):\n",
" portion_remaining = tt.concatenate([[1], tt.extra_ops.cumprod(1 - beta)[:-1]])\n",
" return beta * portion_remaining"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:45.532953",
"start_time": "2017-02-22T17:42:43.333229"
},
"collapsed": false
},
"outputs": [],
"source": [
"K = 3\n",
"with pm.Model() as model:\n",
" #alpha = pm.Gamma('alpha', 1., 1.)\n",
" #beta = pm.Beta('beta', 1, alpha, shape=K)\n",
" #w = pm.Deterministic('w', stick_breaking(beta))\n",
" w = pm.Dirichlet('w', np.ones(K))\n",
" obs = pm.Mixture('obs', w, [multivariatenormal(init_mean, init_sigma, init_corr, k, dist=True) for k in range(K)], observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:42:45.540449",
"start_time": "2017-02-22T17:42:45.534426"
},
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.33333333, 0.33333333, 0.33333333])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"w.tag.test_value"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:43:21.936285",
"start_time": "2017-02-22T17:42:45.542543"
},
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [01:32<00:00, 107.82it/s]\n"
]
}
],
"source": [
"with model:\n",
" trace = pm.sample(10000, pm.Metropolis())[5000::5]"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2017-02-22T17:43:22.561426",
"start_time": "2017-02-22T17:43:21.938291"
},
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.5/site-packages/matplotlib/font_manager.py:1297: UserWarning: findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans\n",
" (prop.get_family(), self.defaultFamily[fontext]))\n"
]
},
{
"data": {
"image/png": 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bKep8IcoXJBGmSWaPG25f7uWRUpLa+vLUSqgGWdOmdyRJ88rmqdflKYQxmSZW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\nil4FYvrZB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INs2LCBZDLJtddeS0VFxXiHJYQQQgghhBADOu0m9hVCCCGEEEKIiWLcu/wJ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\nFqtqJaNniWfitIVzFw/7rG6OxfxktQy7ut9mrmfOkBVuD4QO4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yB0Q0dBKWnNrJlsvAnV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6njHljebsHLLzGlb0eT+3zcXc8lnsDxwklApTZpcT/QohRp9wvCuhcvVcoXLlzaEazb7yla+U\nOgQhhBATyKASqn/8x3/kH/7hH/jOd77DH//4Ry688MLhimvU0w2dHS1v4bI6WVq9qN/7L6lZyP7A\nQfZ27OdDk/pOwIQQohTCXUP++qtQjfY5VOedd16pQxBCCDGBDCqhev31182/v/vd707ohGq//yCB\nZJC/mnQeNrX/1a4WVy1gEy+yu+M9SaiEEKNSpKtC5e2lQjVW5lCFw2F+/OMfs3fv3oL5vj//+c9L\nGJUQQojxalCLUhiG0ePfE9HJ4X5nD+j+kzz1VDoq2Nu5H00f3TsjQoiJKRxL47Sr2Kw9/zSY56FK\nju4K1QMPPIDFYuHIkSPceOONqKrKsmXLSh2WEEKIcWpQCVUqleLgwYMcOHCg4O/cv4kipaV4u+1d\nqpyVzKmYOaDHKIrC4uoFxDJxPgg3Dm+AQghRhEg83Wt1CsZOheqDDz7g3nvvxel0snbtWp544gl2\n7dpV6rCEEKNYNB1jvz87112IwRrUkL9EIsGdd95pXs7/W1EUtmzZMnSRjWLvtO0mqaX4yNSVPZ57\nqjdLqhfwx+Ovs7tjH7PLZw5fgEIIMUiGYRCOpZhW1/uiObmEKj7KEyq7PTsHzGazEQgEKC8vp7m5\nucRRCSFGs/Z4B6FkiKSWZGnN4lKHI8aYQSVUW7duHa44xpTBDvfLWVA5F1VR2dPxHutmXz4coQkh\nRFESKY2MZuDr5RxUcHJuVe58VaPVzJkzCQQCrFu3jptuugmfz8eiRf0vHiQmnnAqQiwdo95TV+pQ\nxDBojrYSSAaZXzmn3wPgSS37vZbMJIln4risrpEIUYwTRS2bPpEFk2H2du5nhm/aoL+AnVYncypm\nsd9/gGAyTLlDlk8XQowO/S2ZDtnV/xQFQtHRnVB997vfBeD2229n6dKlhMNhLrroohJHJUajfZ3v\nA5DQkswom1biaMRQawofAyCRSaBj0B7voMFdj9Pq6HbfpHZyAZtY+mRCZRgG4XQEn82LoigjE7gY\ncwY1h0rAX1rfxsAYdHUqZ2n1QgDeaXt3KMMSQojT8FR6dgAAIABJREFUEuk6qa+3jwqVxaLgc9kI\njvKEKicUChEIBJg0aRKqqpY6nCFnGAbvtu9hX+eBQS8UldYzpLSReR/jmThpLT0izzUY+QtEtcXa\naY21lzCa4dGZ8HM8MvTDXQ3D4HDwKB3xzh5vT+sZdEMf0HZi6dhQh9dNLJOgKXyc9lgHu9r3dIst\nnomTzJxMqFpj7fgTAVqirfyl5W32dx6gJdY6qOc0DIO0liajD2wRn5SWZl/nAVqig3ueUtANfUDv\n70hK6xkiqWjJnl8SqkF6o/lNLIqFFfXLi3r8ivozUVB4rfkvQxyZEEIUL9TPOahyyjwO876jzRe/\n+EXee+89AHPI3z//8z9zxx138Mwzz5Q4uqFlGAbt8U6SmSThVJi2eDuxdJyWWBtwMlnQDb1bstUU\nPs47re+ys213v8+TyCQ4EW0hPYCdwqbwcf7c8jaxdNy8LpaOsbv9Pd7t2DssO2C6oXM03EQgGQSy\nr/vt1nf5S8s7pLQU8Uycjri/x4QzYxTOBexIFCYH8UycE9GWbIUiFSGcivQYQ2usjUPBD8x4OhN+\nDgaOjFjC2pdDgSMcj5woSB51Q6c52ko8kwCyizEci5wYVFKe0tN0xDs4HPyAWDpe8N7G0jHeadvF\nPv8B2uMdffadE9EW9nTsoz3eQXO0hV3tewv6z0AcDTfxTttu2k9J7nJ9ArKVqrR+MqmPnpLEtcU6\nAChzlHXdHuVg4DCNXRUuAH8yiGEY7Grfy37/QbO9UlrKfI2JTJKUliKajrGncz/vtO3i7bZd+BMB\ns40SmQTvdb6PPxEgraXN7YRTYcKpMI3hY+zrPEAgGWS//2CfK0OHUmFSXQcrBvIZhe6rdAeSQYLJ\n0IAeC5DW0rzbvof9/oPdbgsmQ+xq34s/ERjw9nqjGzoHA0c4EDhc0AYtsTai6Vi375N32/fwXud+\nsz1Gmgz5G4QT0RYaw8c4o3oRPru3qG2UO8pYVDWfPZ37aI620OCpH+IohRBi8HLD+Mo9fSdU5R4b\nTW0RUmkNu210VX327NnDwoXZUQAvvPACc+bM4cknn6S5uZm7776bG264ocQRDo5u6BwKfkDSUYuD\nwt+c1ng7jaEm8/LRvL9z10/2TuJEtAWf3cP8yrlAdmeoOdpi3vd9/yHmVswyhzIZhoFu6KiW7Ht7\nJNRIJBVBN3SmeCdhGAaBZBCf3YvVcnIXoiPeaW43nI6QMTLs7zy5+q+ua7zZ8g4ANtXGnPJZ2FUb\n4VSEKmclmqGhKir+ZACbxYbb6jJjgOzOYlP4GB3xTioTXqqVOioc5QSSQVqjbbRG2yhzlBHK2zE8\nHm0mmAyT1lJYlFlUOivM2zRd41jkREGbRlNR3vcfZJpvCrqhs6djHwCqonI0lF2d96y6ZbTFO9AM\njUmeeiyKJa/tDfyJIEbXjp5maMyvnGNu/3DwKFaLSo2rmrZ4O+X2crw2N6pFJaWlsCgWrBYruqGj\nGTqGoXM0fIxqZ2VB7KcKJIMci5xgincSFY5y833MH56W0lM4FSeRdJSUlqIpfIym8DEqnZX4E34A\nyuw+Ypk4TeFjzCybTrWrqtfnzE8W93S8Z65k7LK66EwEwDCIpqJEU1E8Ng+LqucXtH1aT5PRNY53\nvQdHgkfN2w8GDxcsChFJRVEt2eP/bfEOnKoDi2LBrtpxqA5ao9mDCMcjJ5inTQEgo2c44D9kbiOj\nZwoqRU2R46iKiqZrlDl8ZjIyo2wa7fEOTvRQ1cvGnSGRSZDIJMx2T3QlpvWeumx1SVEgl7R0/X0w\ncBjI9p/G8DEiqQiRrgS91l3DjLJpHI+efM5ccpV9ze097itGUlH2dx7AY/NQ567hcPAD3DY3U7yT\nu00p6Yj7sVpUXFYnO9t247P7qHJWktCStHR9bmeVzyScDuNSneaUlkQmwdHwMQzDYF7lbCyKhY6E\nn7SWJq2lSWSS5vDJpJbiRLSFRCbBwcBhltYuwaHaiaVj2FV7wffFQETTMbNvRlzVlDvKSGQSBd97\ncypmUe4oozXWjt6VdCW0BDaL1ez/uqEPagG5YklCNQivnfgzMPjFKE51weRz2dO5j5eb/sRNC64Z\nitCEEOK05BKqsn4SqjJP9sczGE1RWzG6Jm07HCfnRfzlL3/h0ksvBaChoWFMzn0wDINoOsoRf5JY\nJE2Z3cecipm0xtoGNIwrt7MaSobZ7z+YTVi6dlBygskggWSQtJ5GwUJj5Bi6rtHgqWeqb7K505fS\nUjRHW9EMjRORZtw2N4uq5pPRM5yItZg7tQDHIiewUNje+TvuaS3Ne537cdlcxNNxIukobbF2fHaf\nuRMJUOGsQDc0NF0nmj45lCejaxwIHWJF/ZkFSVHolKPs7V1VB4CDgcOcVbeMpJakJdZWMFSt2lVl\nXg4mQ92O1ueSKYDDoaMEuo6+2y12at3V5m2d8cK2DSVD/Ln5LWrc1ZTby+iIZ+PJDenKtZnD6iCZ\nSWKxqMwqm05nIoA/4afM4SOUDBNIBJhTMYtQKoxDddDQtbObS35bY+3E03EO+A8xp2KWufOeL5KK\nsTv0Xrfr8/tDR6LTbDN/Mki1q4pQKszRUBPzK+diV220xtpIaEk8VnfBdgzDYHf7e9R5aru1QzQd\nJaWliaajeG0e9vkPkMgksKo9Dy9OZpL4EwHa4504rHaznbx2r9kfc6rykr6UluK1preY7ZhDIm8+\n1JKaRexu3wuAXbWT1jNE84aGmX1LUbBbbEzxTsJtdZntWOeuJZQKk9YzBQcjTm1nc6heXgVoincS\nx8LHT94n1oZyys59W6ydRCZZMOQwX1P4OPFMEkXJDguscJRxNHzMfJ5oOsrhYPY1xNIx3vcfwGVz\n41QdxG1VNPrbzM9GeVfCnZ+w5RwOHjH/Ph5twWl1FLRTuOvASlNe1W5X+x6W1y0lkUmY8xFz3m3b\nbfZHm2pjee0ZBbentBR21U5KSxPLxMyDAfm352hd1eTMKdW6nvr6/s4D+Ow+pngncSLaTDAZotpV\nTY2rilqGb+0CSagGSNM1Xj/xFzxWN8tql5zWtpbXLKHaWcmrJ3bw17MuK7raJYQQQ8VMqPoZ8ldV\nlk1a2oOJUZdQAbS0tFBeXs4bb7zBPffcY16fTPa8szKaqRaVyZ5JdNKGpmfwJ/z8ublwZ3V62dSC\n6lRvTk028vW0U9IcbSnYwTl1rkwsHcOfDNAW6zB3zHJJk65rFAzGURTmVMykOeoGDJq6djDjXUO7\n2rrmLp26gxfoZ9jQX1re7nZdvaeOGlcVu9u7Jw9vte7scTsZXUNRLGZlqS/5MX0QOtrrvJo6dy2t\nXcMv22MdBcndqXI70rquFbwXoeTJ9si/3qHaqXRWsM9/gP1xjXAy3uP98g3k/Jf5McYzcZrCx80E\nojXWhtfuMftalauyx23kJ9b5drZ1Pw9cpmtoVr2nDp/di6ZrdCYCBJPBk68j72ObS6bqPLXm83R2\n9ct5lXO6DjLoHAgcpqyrQjOzfDouq5PF1QvpSPipdJRjURRCqUhBYgDgsjrNAy+VzgpW1J9JLBPH\nY3Oz33+QRCZhvqc9ySXGOdPLplLpqChIqI7nHQBYUDWPQDJES7SloO/Pr5pbUN0FzGQc+v4s58TT\nMeLpGJlgoqB/BPOGQebUe+oIJIMFsWt6hmiqcAjh+z0M8QN4p7X7mgC5gyW59zGtpWmNtVHjquZo\nuMnsa9WuaoLJIBk9w5KaRThUO0ktSSKT5HDXMFrIDm1sjrZiV3v/fbKqNrNPhVNh3us82aYd8Q46\n4h1Mru+96nq6ZA7VAL3bvodwOsJ5DWdjG2TZ8lSqRWXVtItI6xlebvrTEEUohBDFy82L6q9C1VCV\nPTLd4h/+ieSDddddd7F+/XpWr17NihUrmDs3O8zt7bffZvLkySWOrjhuW+9Ja7mjjDp3LfO6hpV5\nbJ4e7zc77wT0cypmMb9qLgur56P28FvmsDqY6su21fuBQ91uz3cocKRgR9Btc1Hnqe12P6WrWtXg\nqaPBU99rnCeff0q36102dw/37m6ab0q35a57iulkcAqTvQ3U9DK8bWHVfCZ7JzGtbGq3bSqKYg73\nypnqm8LM8ulM9jb0uD1bL1WZCmeF2e79aY61oulat2pNn3qYHzUpL8aavEobZJO8/GpMc7SlYAjd\nqVWoU9t4snfSgEOb7GmgwlFOtauKeZWz+3y/nFYn031TObNuacH1PruXORWzgGzFJjdkz2fPJlZu\nm4tpvsl47R7cNjcNnjpq3TXm4102tzksNkdRFDxd/a6ia24V0OPnxmqxsrRmMd68A+Q1rmpsqo3p\nZVNRFEu3fu21eag9pd+dUbMY9wCXa3fZ3AP+XCyqXlBweW7lbJbVLuHs+uVM801BO+VgQrmjjGW1\nZ7Ci/kwqnBUoigVL3hDcKX30VatqY3HVAnM+Ws7RUBOHgh8UJO4d8Q5zKGZjuIk3W95hd/t73Q4M\ntMc6iKVjfR5kme6bYr7fvelpdcehIhWqATAMg98d3Q7AX00+b0i2ecHkc/nfI7/j942v8OGpF+K1\n9/4DI4QQwy1XoerrPFQA9ZXZH/DWzsFNHB8JV155Jeeccw7t7e3mXCqASZMm8c1vfrOEkRXPbXVR\nZS0nHIpjsajUuqpp6zpaPcWb3akpd5RxTsNZ5mN0QyeUCnPAf4hqV3a4GYDFohbMxTmrbqk5fDCj\nZ3BandS5a6h11RBIhohnEjisDmaWTedEtKXfI+NWxYrDZqeV7FH87HCeVLedmEXV82kMHzOHSFW7\nqjAwmOyZZN43Vz1YUDUP3TDw2Fy8fcqRcK/di2bozPBN5b3O/QUJQs7siplUOSuJpKIFq8nNq5yL\nRVHMESIuqxObxWZWENw2N9N8U/DaPebvs9fmIZFJUOEoR7WoTPVONueFQTapaMg7nUqDp74gKckf\n9tQR91Nm95rzxHJzPBTFUjBHZF7lnG6VgWgqys72Pebl6WXTcKh2DgQOoygKM8umYbfY8do9pLSU\nufiI0+pkQeVcjkVP4La6qHXV4LI6qXCU05y3slxPQ+v6M903lem+qbTG2lAVK1XOCrMtl9eewTt5\nFaqFVfM5HPqAZCaJx+4pmCsHMMUzqcdKl9PqZHpXYmu1WJlXOZcDgYOU2X1dc6osVLkqCIey300W\ni4qjj4rGjLJpuKwujoYamVM+o8+D5bWuGuyqHbvFjqIo7PcfxGqx4rW5aYu1m4lUroJS56k139M6\ndy117mySmF8VUxQFp9WJxaKi6xpVrkqz/9tUO2kthcvmpsFdx4loc7fkfZpvMrF0jKZ0DEVRmFE2\nnSN5VR0Ah9WO2+PDY3MXvA9WxVpQ7Wlw19EUPsa8yrl4bC4sisWMf25Xopqb++a0OoHs90z+XLMq\nVxVuq4tyRxmKojC7fIb5mbVarGT0TJ8JUX5FFrIHGerdtd2GErpsbuLpGBaLytl1y4BsBcym2vDa\nPDRFjndL+IFhX7NAEqoBeD9wkMOhD1has7jXo06D5VDtXDnzUp55/wV+88EWrp931ZBsVwghihGM\npvC6bFjVvgcu1Fdlj54e7yjd8rR9qa2tpba28Ah3ff3YXfxHURQW186nmnpzB2daDxWcfBbFQoWj\nnAVV8/DY3FgUC2fULAa6Vynyd/byLayaV3DZa/PQmQjQFm/HZ/eioBQMX5rmm0KNqwpFUXDXuLIT\n/g2dI6GjzOzh/E5ONbtT5rV7mVU+o9vtS2oWoul6wcHGM2oWkdTSNNSWc4QW6vPiXl63tGCHeEnN\nQlpj7eawxdnlM9EMDYuioCpqt6FDFsXCZG8D/mQQq6Iyv3JOt3l3HpvbrFjkHlPjrqY91sEU32Qm\nnbLDNtU3GavFyoloC4uq5mGznDxYUd3LkLk6Vw2qYiFX1yt3lHFW3TJ2tu9By1tUIff34rp5aJFs\nQrKsZjEGYM+rgtlVuzkUrdJZgU21MbNsunl7lTMbR5ndx3FOUO+pM09wm+O2uQuS0fyhVd3iz3tP\nltQsQkHBptrw2X1kDI0lXZWS/EUnTqVaVLNdp5VNxWvz4La6ur0f5Q4fK+rPLLjOmpecNbj7P1do\n9gBCdb9zLBVFKRgCuzxv6ofX5jUrWNO8k6lwlFHp6HkRkQVV89jvP8jsvD4/1TuJo6EmyvKqK26r\ni6CWIq2nqXZVUuWsIJyOmEMBl9QsxGV1UWb34ba5sWDBa/cQSoXpjHdS7arCa/OyeMpM2tqyiYpN\ntbG4eiGdCX9BPwaod9dS5aws6DunUi1qQfI7xTuJGlc1u9r3MslT323/2Gqxmn1vRtk0s+rks/uw\nqdbsAhfxTqqcldk5aqf0qWpnZddnoeuyq5oGTx0uq5NgMlxwoCZX+bWrdmaXzzQTKp/dx/zKOUTS\n0QFX/oolCVU/dENn04FfA3DFzFVDuu2VUz7E1sZX2N70Kh+eurLXIQdCCDHcQtEU5d7+h0P43HYm\nVbvZebCDrW82sersqf0+Rpy+Ylapyp+fe7pDXRRFodpVWZAIWBRL9oi7ohSc6D53BNtG98Qsp6ar\nKtXb6nWnDtvLbddpdeJ1eAqSKaBbdcFldRWcqHegr39xVXY1uoEuYjLdl93hr3b2/PudHebY/459\njqIo1LgKh9+pFpXF1Qs4HPyA6b4pqBYrsXSMWCZOpbOc9ki2mtTbcMIl1QvpiPt7TeIAvHYPS2uX\nYLfYOJA33Ors+uXE0nGaIsexWqw4VQcem5uDgcOUO8oJJoPdhnbluLr6AcCCqrk93qc3M3zTqHJW\n4rV5BtX38xOq/AS2L6e7YE1+u9pUG1Vq7+3ss3u7nXanzl2Lz+41DzIA1HtqCSaDZlKoKAo+m5fJ\n3knYVXvB5yM/EZtdPoNZZdN7fU1um6vHYcSKovSZTPXGodo5q25pr+/R4qoF6IaOTbVxVt2ybtXI\nXHKf7lqF0WV1ktbSBFMhKp0VBUujq4rF7FOnrmJ4qgpnBYFEgKSWzLbdCKxVIAlVP149sYOj4SbO\nqT+z4KjOULBarFw1+3Ke2vNL/ufQb7h9yc1Dun0hhBiIeDJDNJFh5qSed4xOdfOl83nhj4epKXf2\nf2cxbtW5a0hoiV6Tib4oikJd3hyW0WKwO9cWxdItARoODtVekJw6VDuVVAwoXotiKViNsK/ngGwS\nqCgKM3xTsSjZysepifHZXUlBW7yDmiLe//4oilKQKBSjopdEbzQ69QBCmd3HstozCg4UKF3z/foz\n0iua9pXwqhYVFdX8uzc2i9V8rTbVZn6mLIrFXOClrJ8kKl9VV0JVPoJ9QBKqPnQm/Lxw4H+xq3au\nmbtmWJ7j7PrlbGl8hT+3vM059Wf2WQYXQojh0B7Mjs2vG+CqfUtmVbFkllTUJzqLYhnyA42i9Hx2\nb79H9HM70adWCksvt0pfZa8Vu7GimIrReDTVN5lqV1W3YYp9qXJWYquyDeoxp0tW+etFIpPkp7v+\nnWgmxrVz13RbH3+oWBQLty26Eaui8vTeZ06ex0AIIUbAiY4ob7+fnQA+GpdBHy0eeeQRrrjiCtat\nW8enP/1pQqH+ly4WQoysaeWTmOyd1OO8PTE2WRRLUYmRz+4dkRP65oyKhGr79u1cfvnlXHbZZWzY\nsKGksRiGwaHgB/zLWz/iSOgo59afzcrJ5w/rc072NnDj/PVE0lG+95fH+NPxN7pNzhNCiKGm6wb/\n38YdbHolO2di7pThOXA0Hlx44YVs3ryZ//mf/2HmzJk88cQTpQ5JCHEKm2pjsrehz+FlQgyHkg/5\n0zSNb3zjGzz11FPU19dz/fXXs2rVKvP8IcPBMAw0I7v8Y2ciQEusjeZoC0fDxzgaaiTYdV6Nv5p0\nLn+z4NoRGY964ZQPgQL/tf8F/v29Z3lm/wssqJrHvIrZ1LiqsHaNL3WqThxWB07VgUN1kNRS+JN+\noukY8yrmSIlYCDFgFovCnWuX8MrO47gdVmZPGTtzDkbaypUrzb/PPPNMfvOb35QwGiGEEKOJYhg9\nnO1tBL311lv88Ic/5Kc//SmAedTv7rvv7vH+ueUfi7X50Ev85shWjB6WjwUot5cxt2IWK6ecz/yu\nkyWOpEAyyMtNf+Kdtt29noG9Nx9dcC0rpwxvNU0IIYZSbe3pTTwvhU9+8pNceeWVXH311f3eN5PR\nsFrlaLkQQoxnJa9QtbS00NBwctWS+vp6du7c2ev9T/fH9/ba67n9Q9ef1jaGUy0+5k29sdRhCCHE\nhPOxj32M9vb2btffe++9XHrppQA8/vjjqKrKVVcN7NyBkkwJIcT4V/KEqqcC2Ugv+SiEEEJs3Lix\nz9s3bdrEtm3b2Lhxo/xOCSGEMJU8oWpoaKC5udm83NLSQl3dwE+CJ4QQQgy37du38+Mf/5inn34a\nl0tWQxRCCHFSyVf5W7p0KUeOHKGxsZFUKsWLL77IqlWrSh2WEEIIYfrmN79JNBrl9ttv5+qrr+ah\nhx4qdUhCCCFGiZIvSgHw8ssv8/DDD6NpGtdddx2f+tSnSh2SEEIIIYQQQvRrVCRUQgghhBBCCDEW\nlXzInxBCCCGEEEKMVZJQCSGEEEIIIUSRxnRC9cgjj3DFFVewbt06Pv3pTxMKhUod0pjxv//7v6xZ\ns4aFCxfy7rvvljqcMWH79u1cfvnlXHbZZWzYsKHU4YwpX/7yl7ngggtYu3ZtqUMZU06cOMFtt93G\nlVdeyZo1a/jZz35W6pDECJqI3zm99flAIMDtt9/O6tWruf322wkGg0D21Cvf+ta3uOyyy1i3bh27\nd+8uZfjDQtM01q9fz9133w1AY2MjN9xwA6tXr+bee+8llUoBkEqluPfee7nsssu44YYbaGpqKmXY\nwyIUCnHPPfdwxRVXcOWVV/LWW29N6L6xceNG1qxZw9q1a7nvvvtIJpMTqn/0tG9RTH/YtGkTq1ev\nZvXq1WzatKm4YIwx7JVXXjHS6bRhGIbx6KOPGo8++miJIxo7Dhw4YBw8eNC49dZbjZ07d5Y6nFEv\nk8kYl1xyiXH06FEjmUwa69atM95///1ShzVmvPHGG8auXbuMNWvWlDqUMaWlpcXYtWuXYRiGEQ6H\njdWrV0u/myAm6ndOb33+kUceMZ544gnDMAzjiSeeMH/vt23bZnz84x83dF033nrrLeP6668vWezD\n5cknnzTuu+8+46677jIMwzDuueceY/PmzYZhGMZXv/pV49///d8NwzCMp59+2vjqV79qGIZhbN68\n2fjc5z5XmoCH0Ze+9CXjv/7rvwzDMIxkMmkEg8EJ2zeam5uNj3zkI0Y8HjcMI9svnnvuuQnVP3ra\ntxhsf/D7/caqVasMv99vBAIBY9WqVUYgEBh0LGO6QrVy5Uqs1uyptM4888yC81mJvs2ZM4fZs2eX\nOowxY+fOncyYMYNp06Zht9tZs2YNW7ZsKXVYY8a5555LeXl5qcMYc+rq6liyZAkAXq+X2bNn09LS\nUuKoxEiYqN85vfX5LVu2sH79egDWr1/P7373OwDzekVROPPMMwmFQrS2tpYs/qHW3NzMtm3buP76\n64HsUfbXXnuNyy+/HIBrrrnG7Bdbt27lmmuuAeDyyy/n1VdfxRhH645FIhF27NhhtoXdbqesrGzC\n9g3IVi8TiQSZTIZEIkFtbe2E6h897VsMtj/84Q9/4MILL6SiooLy8nIuvPBCXnnllUHHMqYTqnzP\nPfccF110UanDEONUS0sLDQ0N5uX6+nrZsRUjqqmpib1797J8+fJShyJGgHznFPb5jo4O6urqgGzS\n1dnZCXRvp4aGhnHVTg8//DD3338/Fkt2d83v91NWVmYeTM5/vS0tLUyaNAkAq9WKz+fD7/eXJvBh\n0NjYSFVVFV/+8pdZv349X/nKV4jFYhO2b9TX13PHHXfwkY98hJUrV+L1elmyZMmE7R85g+0PQ/Vd\naz3NuIfdxz72Mdrb27tdf++993LppZcC8Pjjj6OqKlddddVIhzeqDaTtxMD0dBRHUZQSRCImomg0\nyj333MMDDzyA1+stdThiBEz075yB9vnx3E6///3vqaqq4owzzuD111/v9X651zue2wIgk8mwZ88e\nvvrVr7J8+XK+9a1v9Tm3cLy3RzAYZMuWLWzZsgWfz8fnPvc5tm/f3u1+E6V/9Ke31z9U7TLqE6qN\nGzf2efumTZvYtm0bGzdunFAdYyD6azsxcA0NDQVDSltaWswjIEIMp3Q6zT333MO6detYvXp1qcMR\nI2Qif+f01Oerq6tpbW2lrq6O1tZWqqqqgO7t1NzcPG7a6c0332Tr1q1s376dZDJJJBLh29/+NqFQ\niEwmg9VqLXi9DQ0NnDhxgoaGBjKZDOFwmIqKihK/iqHT0NBAQ0ODWaW/4oor2LBhw4TsGwB/+tOf\nmDp1qvl6V69ezVtvvTVh+0fOYPtDQ0MDb7zxhnl9S0sL55133qCfd0wP+du+fTs//vGPefzxx3G5\nXKUOR4xjS5cu5ciRIzQ2NpJKpXjxxRdZtWpVqcMS45xhGHzlK19h9uzZ3H777aUOR4ygifqd01uf\nX7VqFb/61a8A+NWvfsUll1xScL1hGLz99tv4fL5xs9P8hS98ge3bt7N161b+6Z/+ifPPP5/vfe97\nfOhDH+Kll14CsgeVc/1i1apV5gplL730Eueff/64OtBcW1tLQ0MDhw4dAuDVV19lzpw5E7JvAEye\nPJl33nmHeDyOYRi8+uqrzJ07d8L2j5zB9oeVK1fyhz/8gWAwSDAY5A9/+AMrV64c9PMqxhiekXbZ\nZZeRSqXMDHv58uV84xvfKHFUY8P//d//8c1vfpPOzk7KyspYtGgRP/3pT0sd1qj28ssv8/DDD6Np\nGtdddx2f+tSnSh3SmHHffffxxhtv4Pf7qa6u5rOf/Sw33HBDqcMa9f785z9zyy23MH/+fHMOxX33\n3cfFF19c4sjESJiI3zm99flly5Zx7733cuLECSZNmsS//uu/UlFRgWEYfOMb3+CVV17B5XLx8MMP\ns3Tp0hK/iqH3+uuv8+STT/LEE0/Q2NjI5z/7jKQXAAAgAElEQVT/eYLBIIsWLeK73/0udrudZDLJ\n/fffz969eykvL+ef//mfmTZtWqlDH1J79+7lK1/5Cul0mmnTpvGd73wHXdcnbN/4/ve/z69//Wus\nViuLFi3i29/+Ni0tLROmf/S0b3HppZcOuj88++yzPPHEEwB88pOf5Lrrrht0LGM6oRJCCCGEEEKI\nUhrTQ/6EEEIIIYQQopQkoRJCCCGEEEKIIklCJYQQQgghhBBFkoRKCCGEEEIIIYokCZUQQgghhBBC\nFEkSKiGEEEIIIYQokiRUQgghhBBCCFEkSaiEEEIIIYQQokiSUAkhhBBCCCFEkSShEkIIIYQQQogi\nSUIlhBBCCCGEEEWShEoIIYQQQgghiiQJlRBCCCGEEEIUSRIqIYQQQgghhCiSJFRCjCGbNm3i2muv\n5eyzz+aiiy7i0UcfJZPJlDosIYQQohv5zRIThSRUQowh8XicBx54gNdee41nnnmG1157jSeffLLU\nYQkhhBDdyG+WmCgkoRJiBKxatYqf/OQnrFu3jjPPPJMHHniA9vZ2PvGJT3DWWWfxsY99jGAwyOuv\nv85FF13U7bF/+tOfALj55ps555xzsNvt1NfXs27dOt58881SvCQhhBDjlPxmCTE4klAJMUJ++9vf\n8tRTT/HSSy/x+9//njvvvJP77ruP119/HV3X+cUvfjHobe7YsYO5c+cOQ7RCCCEmMvnNEmLgJKES\nYoTceuut1NTUUF9fzznnnMOyZctYvHgxdrudyy67jD179gxqe8899xy7du3ijjvuGKaIhRBCTFTy\nmyXEwFlLHYAQE0VNTY35t8PhKLjsdDqJxWID3tbvfvc7vve97/HUU09RVVU1pHEKIYQQ8pslxMBJ\nQiXEKOJyuUgkEuZlTdPo7OwsuM/27dt58MEH2bBhAwsWLBjpEIUQQghAfrOEyJEhf0KMIrNmzSKZ\nTLJt2zbS6TSPP/44qVTKvP3VV1/l/vvv5wc/+AHLli0rYaRCCCEmOvnNEiJLKlRCjCI+n4+vfe1r\nPPjgg2iaxic+8QkaGhrM2x977DHC4TB33XWXed2KFSv4yU9+UopwhRBCTGDymyVElmIYhlHqIIQQ\nQgghhBBiLJIhf0IIIYQQQghRJEmohBBCCCGEEKJIklAJIYQQQgghRJEkoRJCCCGEEEKIIklCJYQQ\nQgghhBBFGnPLpre1hUsdghBCiCFSW+srdQjDaih+syor3fj9sSGIZnyQ9jhJ2qKQtEchaY9Cp9se\nff1eSYVKCCGEGMWsVrXUIYwq0h4nSVsUkvYoJO1RaDjbQxIqIYQQQgghhCiSJFRCCCG6ORg4QiKT\nKHUYoktaz9AcbUU39CHbZkbPkNLSQ7a9sU7TtSFt37FCN3TSQ9gPDMOYkO0oJjb161//+tdLHcRg\nxGKpUocghBDj2gehRr77l3/jaKiJD01aMazP5fE4hnX7pTYUv1kej4PdJw7QGmsFRaE93oFu6Lht\nLnPn1aJkj48mtRSGoaNaCoe2dMQ7sVms5vWhVJi9ne/THG2hwVOPoijmfQPJIJqhY1dtAETSUdri\nHThVJ+F0hM5EAIfqQLWoaLpGRs8QTIVwqk4URUE3dDOmtlgHR8NNeG0ebBYrkXSU9ngnDtVeEGNG\nz5iPSWSSWBQLiqKQ0TMoKAXxeTwOYrEUKS1VsA1N14hnEmbc+dcbhkEwGcJldXZr33gmzu6OfRyP\nnCCcjlLjqu52n6SWoj3egcfmzsaknIxJN3RORFuybZWK4rQ6UBSFpJYinApjs1hRUIhnEmQMjZSW\nQjc00noGmyU7ld2fCHAwcBiPzUNbvB2P1Y1FsRBLx83nyW+DU9vCMAxSetp87w3D6PH+aT2DAhic\nvP1ouIlDwSMYQJm9+xyRlJYmrWfI6BrHIidwWV1Yu9o9lo6T0JI4VDuQTaaaIsc5GDhMrbsmm6Ri\noCoWDMMgrWe69c3cexRNx9ANDatiLYgv1z6A2V5pPUM8HcdqsaIbOoZhEEqFaUu2oqcUmqOtaIZG\nRtewW2zmYzRD42j4GEfDTSiAw+oglAwRTcdw21wFMcXSMQyynxWn6jDjCaciWBWVYDJk9umOuB+P\nzY2iKPgTAULJEBkjQ7Qrxp5ec+51A2QMDVWxEM8ksgmunsYwDFSLim7oRNMxbF2vIxdHLB0jlkng\ntPb+Hep0WYlEEzSFjxNNZ+cONUdbcKh2bBYbuqGjKIp5MCGjazRFjqNgwdrVj3LPmfsc5T6/SS1J\nNB3D0dU2/kSAvZ37sVmsuG3ubrEkMgnSehoLFiyKhaSWoiXWSmP4GAoKiUySo+EmKh0VWBQLmq6h\nGTqq0r32E0vH0Qwda1d/yPW7cCpCmeNkH05rafS878Pc56VYff1eKUautcYIWZRCCCGG17bGP/LM\n+y8A8G+rHh3W55JFKfr2QagRnBnaOgPdbitz+Agls9uv99RhUSyciDQDMLN8OqFUGAULiUyCaDoK\nQIOnno5EZ0FFwqramOadzIloS0FVUlEsGH1UGjw2j7ndnEpnJUktSSzdfeK3XbWT0k7uzJQ7yvHZ\nvYRTEYLJYNdzKuZOXP7rc1gdJDNJFEWhtqqCTAw6435QFGwWK1aLjXjXczqtTmpd1YRSYYLJUEEM\n5Y4ygG7X98Sm2jAMg4yhwSm7SvWeesrsXo5Hmru1wWC5be4e2yufxaLS4K7DZXWS1jOEUmEqHRWE\nLJ34g1H0rh3zbNx20l3tXOGsoMJRRnO0FQODlJbu8z2tdlXjUO3mjnauP50ai27o3dqkzFFGKK9d\nraqNTFc/y71/BdvQtYL3+FQem4doJlbwPHbVjtfuJZgMoemZbo/xlbkIh+LdrnfZXMTT3a8/9T5O\n1Yk/4cdlc5v9CbJ9qsJRjgG0dCXPgzG9bCqaoRNKhtEMDUVRiKYK+82pzwmFn4fc57HeU49TdfBB\n6CgAi6sX8n7gEGk9jc1iRTN0bBYrs8pn0GG00NYZ7DEm1WJF0zNM9k6iNdZGpof2hOxnWjO0wvfW\nYjXvX+Ouxm11cTTUZN5e5vARScfQdY1KZyWxTMx8/x1WB3PKZ3EoOLBREE6rk6SWxAAqHOUEEie/\nCz02D26bi/Z4p9mvvXYvlY5y3DY3+zrfN5/Ta/NwzpzFdLQX/3nt6/dKEiohhBAFNh96if89sgWQ\nhOp0nc5vVkbP8E7bbrw+R487iRNVbzvNE5G0RSFpj0LjtT3yE83BuGTR+QT9yf7v2Iu+fq/G3LLp\nQgghhlc07yippmu9DlcRw8tqsbK8dgmKJ8M7kf1UOMrpjHcCML1sGkdDjQX3r3PX0pHw47V5SOnp\nbke7ATx2DzXOavPodrfnVG0srprP8Wgz/kSwsAqgKGa1wNY1rM4wDMod5XTEO5jqm0IkHSWciqDp\nGTx2T8FReKvFio5hVlPKHD48Ng8VjnJsFhspPcUB/yEyegaPzYNNtaEqKm6bC03X8CcD1LtrcflU\nDsWOY1WsZIwMLqsLi6JkK1Zkj5i7VGd2uJBFxak6iaQjZrWl3lNPNB0lkop0vSwLM8qmUu2sYr//\nIGk9nT1yrigsqJxLS6yNcnsZNjW7y9QYPmYebZ9RNj07DLLrfclxWp1M8U7Cpto4GDgMQEbXeqwO\nOawOPDYPwWQIp9VBnauG1ng7De46NEPnSPAD877ljnKzmpd9rZU0qFNIaSlimRidiQCanjErQIpi\nYYp3EpqRHVIXSZ+sZnntXiB71L/aVWW+BpfNRTgV6bE6la/WXUMsEyeWjuOze1HIfndUu6oJJoOk\nuiombqubGleVWfXKDnnMDsGMpKNmm8yrnMP7/oMFbTi/cg7RdMxsQ0VRcFvdBZWrJTWLOBY5QSAR\nwGv3YNhV6tw1VDjK8SeCdCQ6cVmdtERbcVqdzKucg0O1cyj4Af5EgNnlM2iOtXarGOWzWFSqnZW0\nxdrN66aXTcVtdWNTbaS0FKFUmHAqQrWzquDz5bQ6SenpgipiT8yKsKKgKqr52XNanT1Wcqb6JuNP\nBImmo90SjFMvVzormV42lQOBQ9nXqSjMr5zD/s4DQLZfZYwMbquLGlc1jeFjeGxuVEXFn8x+DzR4\n6jgeaSajZ/DavbhtLjJ6hs64H6vFSoWznHg60WPFVlEUalzVVDorCCSDtEbbcjdQ566hzO6jMxEg\nmo6SzCRxWp1UOStx21wEkyG8Ni8em5tQKoRm6NS5amiMHCOYDDPdNwWLYsGh2mmKnCCjZ8zPdo7X\n7qXeXYvdageKT6j6IhUqIYQQBX6662nebN0JwCMrv4bX7hm255IKVf9qa320toZQFIXOhB+31YXT\n6uR4pBmPLTvXxmvz9DhnRjd02uIdOFQ7FY5y8/rWWBsdcT9zKmZm5/doCXPezqnbCaXCeKxuNEMz\n5yxYepjX0JNwKkIsHaPeU2dep+kacS2B19a9X/U29+fU9uipXft6bFpL807bLpxWJ2fULAKyc6es\nFps5LydfLB3Hoig4e5hzZRgGwVQIu8VmzhUxDINIOorP7iWjZ7Aolm5tZBhGQRs2R1vQDJ0p3kl9\nvl5N14hmYvhs3q6EJE1Gz+CyOqmrKxt0H0tkEqgWa4+vO188E8cwDByqA38yiNPqwIKFpJad41bu\nKCuYY3Pqa+3p+p5e2zvtu6l11TDNN5m0ljaT9Xy5eWq1rmrsXUMSU1oKAwOX9eTcp976Rn9y8eYW\n0zAwCKci+OxeDEDtej+zc5ms2LvmjPUmpaXoSPipdJQX9KGklsJmsRJLx3FZnUQzMZKZFLXuarM9\nFEXp1nc0XSOQDFFm92JRLITTESoc5dl5YbqG0+ognkmwt3M/Vc4KpnmnkNbTVFa7iQYyBdvLzdtS\nLSqJTBIDvaAN+5M/Z9MwDALJIGV2n3ngLTfvMWNoxNIxKp0VPW5nKA7W9faZz30GOxMByh1lZl8v\ntn/kyJA/IYQQA/b9tzawz589cvm18++nzl07bM8lCVX/TncnYLwptj3imTh2i31cVVylbxSa6O2h\nG3rBIi4TvT1ONZwJlQz5E0IIUSCSN2QjLkuni3FiMEfhhRiLBlo5FkNPWl4IIUSB/PH6sX5Wxhqr\nXn31VZ5++mkA2tvbOXz4cIkjEkIIMVZJQiWEEKJAQjs5aTeujb8K1YYNG/jhD3/Iz3/+cwAymQwP\nPPBAiaMSQggxVklCJYQQwmQYBom888XknzdovNi8eTMbN27E7c4uKNDQ0EAkEunnUUIIIUTPJKES\nQghhyugZNOPk8r7JcZhQOZ1ObLbClcT6W41MCCGE6I0kVEIIIUy54X52SzbhGI8VqoaGBv785z+j\nKAq6rvPYY48xb968UoclhBBijJKESgghhCm3ql+ZowyApDY8J0Espa9+9as89thjvP/++yxfvpwd\nO3YMag6VpmmsX7+eu+++exijFEIIMVbIsulCCCFMia5FKMrtPtrjHeNyyF9tbS1PPvkk8XgcXdfx\neAZ34uKf//znzJkzR+ZdCSGEACShEkIIkSfZtSDFyQrV+EuoXn755R6vv/jii/t9bHNzM9u2beOT\nn/wkGzduHOLIhBBCjEWSUAkhhDDl5lBV2MfvkL+f/OQn5t+pVIq9e/eyePHiASVUDz/8MPfffz/R\naLTf+wJUVrqxWtWiY82prfWd9jbGE2mPk6QtCkl7FJL2KDRc7TFiCdWXv/xltm3bRnV1NZs3bwYg\nEAjw+c9/nmPHjjFlyhT+5V/+hfLy8pEKSQghxClyc6jKuypUKS1dynCGxS9+8YuCywcOHOCpp57q\n93G///3vqaqq4owzzuD1118f0HP5/bGiYsxXW+ujrS182tsZL6Q9TpK2KCTtUUjao9DptkdfydiI\nLUpx7bXXFhwVhOzJFS+44AJ++9vfcsEFF7Bhw4aRCkcIIUQPcuegKrNnfzjGY4XqVHPnzmXfvn39\n3u/NN99k69atrFq1ivvuu4/XXnuNL37xiyMQoRBCiNGsqArVxz/+cW699VY+/OEPD/jcHeeeey5N\nTU0F123ZssU8Urh+/Xpuu+3/b+/O46Oq7/3xv86c2feZJJOFhCUkrLJYsGJBeRglagEBESmi9YFW\nvbZIvbjUrd4+2oq3PrztV/u4t6Xtw1tbq4+2VNAf9Ff7LSiKC6AikX0JgYQkk2327cxZvn9M5mQm\nmYRkmGQyk/fzH0gy5+Q9Z07O+bw/y/vcjccffzydkAghhGRAvCiFQaWHkmHzsmx64hoqURTx1Vdf\nQRTFS2736KOP4tFHHwUA7N+/H6+++ipeeumlYYuTEEJIbkgroVq7di1ee+01/PSnP8XatWuxZs0a\n2Gy2Ie+ns7MTDocDAOBwONDV1ZVOOIQQQjLEz8XWBhnVBqhZdV4WpUicLaFUKlFRUYGXX345ixER\nQgjJZWklVLW1taitrUV9fT3eeOMNLFu2DAsXLsS3v/1tXHHFFZmOkRBCyAjxcF4AsSl/GlaTlwlV\n7zVU6bj66qtx9dVXZyAaQgghuS4jRSlUKhU0Gg1+8IMf4Nprr8WTTz45qO0KCgrQ1tYGh8OBtrY2\n2O32TIRDCCEkTd5IbMGuWW2CmlUjEB1cNbtc0F+59LjBVPkjhBBCeksrofrnP/+J119/HZ2dnbjz\nzjuxa9cuGAwG8DyP2traQSdUNTU12LFjBx544AHs2LEDN9xwQzrhEEIIyRAP54utn1IooWHV6Aq7\nsh1SxvQujJSIYRhKqAghhKQlrYRq27ZtuP/++3Httdcm70ypxLPPPptym82bN+PAgQNwuVy47rrr\n8PDDD+OBBx7AI488gm3btqG0tJTmsBNCSJZ5OR9smtjjKzSsGlExClESoWBGrCjssMnEVD9CCCGk\nt7QSqq1bt/Zb3a+mpibl93/+85+n/P5rr72WTgiEEEIyjBOiCPEhTDCVAwC0Sg2AWOl0nVKXzdAy\nzufz4dy5c4hEesrCX3XVVVmMiBBCSK5Kq8vxzjvvhMfjkb92u91Yv359xoIihBAy8rxc9/opTewZ\nVBo2llDFn02VL/7+979j2bJluOeee/Dss8/i29/+NrZs2ZLtsAghhOSotBKqYDAIi8Uif221WuH3\n+zMWFCGEkJHn42LXcZPaCADQsj0jVPnk17/+Nd566y1MmDAB7777Ln73u99h9uzZ2Q6LEEJIjkor\noRJFEcFgUP46EAhAEISMBUUIIWTkxROneCKl6Z7yF86zhEqpVKKgoEC+by1cuBAnT57MclSEEEJy\nVVprqJYtW4Z7770X69atAwC8+eabuPXWWzMaGCGEkJEVf+ZUfKqfNk+n/KnVakiShAkTJuCPf/wj\nxo0bB5crf6oZEkIIGVlpJVQPPvggHA4H9uzZA0mS8K1vfQsrV67MdGyEEEJGENedUKlZNYD8nfL3\n/e9/H36/H4899hh+9KMfwefz4T/+4z+yHRYhhJAclfaDfVetWoVVq1ZlMhZCCCFZxMkjVLGESp7y\nl2cjVFdeeSW0Wi1MJhN+//vfZzscQgghOS6thKqzsxN//OMf0djYCJ7n5e/Tc6QIISR3RcSxMUK1\nePFi3Hjjjbjtttswb968bIdDCCEkx6WVUD388MOYPHkyrrnmGrAsm+mYCCGEZEGE7x6hUnSPULH5\nWZTi3Xffxc6dO/H8888jEAhg1apVWLlyJUpKSrIdGiGEkByUVkLl9Xrxk5/8JNOxEEIIySKue4RK\no+weoVJqAQCRPJvyZ7Vacdddd+Guu+7C6dOn8eqrr+KGG27A0aNHsx0aIYSQHJRWQlVdXQ2n04ni\n4uJMx0MIISRL4lX+1PIIVezffBuhAmKP/9i7dy+2b9+OgwcP0ppgQgghaUt7hOrWW2/FlVdeCY1G\nI3+f1lARQkju6lvlLzZClW8J1QsvvIBdu3ahuroaK1euxIsvvgitVpvtsAghhOSotJ9DtWzZskzH\nQgghJIt6V/nTqboTKj6ctZiGg8ViwV//+leUlpZmOxRCCCF5IK2EiqZGEEJI/olX85MTqu4RqmCe\nJVTf/e53sx0CIYSQPKJIZ6OGhgasW7cONTU1AICjR4/il7/8ZUYDI4QQMrIivab8sQoWGlaNEB/K\nZliEEELIqJZWQvWjH/0IDz30EEwmEwBg+vTp+Mc//pHRwAghhIwsTohCpVBCwfTcGnRKHUJRSqgI\nIYSQ/qSVUPl8Plx33XVgGCa2E4UCKpUqo4ERQggZWRGRk0en4nRKLUJ5NuWPEEIIyaS0EiqWZRGN\nRuWEyul0QqFIa1eEEEJGiQgfkR/mG6dT6hDkQ5AkKUtRZV5nZycee+wxrF+/HgBw4sQJvPnmm1mO\nihBCSK5KKwu68847sXHjRrhcLvzyl7/EnXfeiXvvvTfTsRFCCBlBXIoRKr1SCwmSXLAiHzz77LOY\nN28evF4vAKCyshJvvPFGlqMihBCSq9Kq8rdy5UqUl5fjvffeQygUws9+9jPMnz8/07ERQggZQZzA\nQaPoPeVPBwAI8WFolfnxrCan04l169bhz3/+MwBArVbTLAtCCCFpSyuhAoD58+dTEkUIIXlClERE\nRR5qNnk9bDyhCvIh2GDNRmgZp1Qm3/q8Xm9eTWkkhBAystJKqFavXi2vn0q0bdu2yw6IEELIyIvI\nD/VNXkOl7x6VyqfCFLW1tXjuuecQCATw1ltv4Y033sDq1auzHRYhhJAclVZC9YMf/ED+fyQSwa5d\nu+BwODIWFCGEkJHFyQlVryl/qviUv/wpnf6d73wH77zzDrxeL/bu3Yu7774bK1asyHZYhBBCclRa\nCdXXv/71pK8XLVpERSkIISSH9X6ob5wuD0eoAODWW2/Frbfemu0wCCGE5IG011Al8vv9aGxszMSu\nCCGEZAHXb0LVs4Yq17344osD/vyJJ54YoUgIIYTkk8teQyWKIpqamrBhw4aMBkYIIWTkcGLqKX/6\neJW/aO6PUOn1+svavqWlBU888QQ6OjqgUChwxx134J577slQdIQQQnLVZa+hYlkW5eXlKC4uzlhQ\nhBBCRlaE72cNlTzlL/dHqDZu3HhZ27MsiyeffBIzZ86E3+/H6tWrsXDhQlRVVWUoQkIIIbkoI2uo\nCCGE5LaImHrKnzaPEqo4v9+P//mf/8Gnn34KhmGwYMECPPTQQzAajQNu53A45AJMRqMRlZWVcDqd\nlFARQsgYl1ZCtWDBgpRl0yVJAsMw+OSTT4a0v5qaGhgMBigUCrAsi7feeiudsAghhKRJrvLX68G+\nWjaWUIWFyIjHNFyefvppGI1GPPvss5AkCdu3b8fTTz+NV155ZdD7aGpqwvHjxzFnzpwBX2ez6aFU\nspcbMoqKTJe9j3xCx6MHHYtkdDyS0fFINlzHI62Eat26dXC73Vi7di0kScLf/vY3FBcX45vf/Gba\ngbz22muw2+1pb08IISR9/VX50ypjz6XKp4Sqvr4eO3fulL+eN28eli1bNujtA4EANm3aJCdmA3G5\ngmnHGVdUZEJ7u++y95Mv6Hj0oGORjI5HMjoeyS73eAyUjKWVUB08eBCvv/66/PWzzz6Lu+66C/ff\nf386uyOEEJJlke6EqfcaKrVCBQYMInz+JFRlZWXo6uqSO/FcLhfKy8sHtW00GsWmTZuwfPly1NbW\nDmeYhBBCckRaCVVbW1vSzairqwvt7e2XFch9990HhmGwdu1arF279rL2RQghZGj6K5vOMAw0rCav\nRqj0ej1WrFiB66+/HgDw/vvv45prrpHLqvdXPl2SJDzzzDOorKykyraEEEJkaSVU99xzT9LNaO/e\nvXjwwQfTDuLNN99EcXExOjs7sWHDBlRWVuKqq65Ke3+EEEKGJp4wxaf4JdIqNQjn0QhVVVVVUiGJ\nO+64Y1Dbff7553j77bcxZcoUrFixAgCwefNmLF68eFjiJIQQkhvSSqjWr1+PefPm4eDBg5AkCevX\nr8fUqVPTDiJecr2goABLlixBXV1dzidUB0+04a29Z9Hli2DxnDJ864ZqKBR9C3kQQshoEIzGqvjp\nlX2f1aRlNfBHAyMd0rBJt3z6/PnzcfLkyQxHQwghJNellVABQHl5OQRBwMyZMy8rgGAwCFEUYTQa\nEQwG8dFHH+G73/3uZe0zmyRJwl/fP4t/7L8AJauAUafEvz5vQqFVh9qrKrIdHiGEpBSMxoonGFR9\nEyqNUoOOcNdIhzRswuEwdu7ciQsXLoDnefn7/U31I4QQQgaSVkK1d+9ePPfcc2BZFnv27MFXX32F\n//7v/8avf/3rIe+rs7MT3/ve9wAAgiBg2bJluO6669IJa1T4v5814R/7L6C0QI+Nt82CUafCU1s/\nxTv7zuG6OaXQqtPOYQkhZNgE+CAYMPKDfBPpWC14kQcv8lAqcv8atnHjRigUCsycORNqtfrSGxBC\nCCEDSOvO+Morr2Dbtm1yVb9Zs2bhwoULaQVQUVGBd955J61tR5sOdwhv7T0Lk16Fx751JWym2FqE\nG+eX452PGvDZiXYsml2a5SgJIaSvYDQEnVILBaPo8zNNQul0Yx4kVC0tLdi1a1e2wyCEEJIn+t45\nB6moqCjpa+rlA/6/jxvA8SLW1lTJyRQALJpdCgbAh3XN2QuOEEIGEIgGoU8x3Q+IraECkDel06ur\nq9HW1pbtMAghhOSJtLoaDQYDOjo6wDCxIgv79++HyTS2n8TsDXL45KgTDqsOC2aUJP2s0KLD9Ik2\nHGtwwekKotiWutFCCCHZEuSDKNOkHkHPt4f7bty4EXfccQemTZsGjaan8+vll1/OYlSEEEJyVVoJ\n1aOPPor7778fTU1NuPvuu9HQ0IBf/epXmY4tp+w9dBG8IOLG+eUpq/ktnFWKYw0ufPRVK267rjIL\nERJCSGqcEEVU5KFX6VL+XNM9QpUvpdOfeOIJ1NTUYMaMGWBZNtvhEEIIyXFpJVRz5szBH/7wB3zx\nxRcAgCuvvBJmszmjgeUSQRTx3qGL0GlYLJyVuof3a1OKoFWz+ORIC1ZeOwkKhkqoE0JGhyDff4U/\noGfKX76MUEWjUTz33HPZDoMQQkieGCNX6WcAACAASURBVPIaKkEQsHr1aphMJixevBiLFy8e08kU\nABw91wW3n8OCGSXQaVLnqBoVi6umOdDpjeB4g2uEIySEkP4Fukump3oGFZBQlIIPj1hMw2nu3Ln0\nPClCCCEZM+QRKpZlYbPZEIlEkuaej2Uf1rUAwCUr+F03pwwf1rVgzxdNmDnJPhKhEULIJfU8gyr1\nlD8dGyulHsmTEaq6ujqsXr0akyZNSrqPbdu2LYtREUIIyVVpTfmbOHEi1q9fj5tuugl6fU+P5vr1\n6zMWWK4Iczy+PN2B8iIDJpYMXJijssyMiSUmfHmmA+3uEIqsqRsvhBAykgJ8CAD6rfKnybOiFM88\n80y2QyCEEJJH0kqoAoEAqqurUV9fn+l4cs7ZZi8EUcKsygK56mF/GIbBjfPL8budx/HeFxdxR03V\nCEVJCCH9k0eo+pnyJ6+hypMpf1//+tezHQIhhJA8MqSE6j//8z/x5JNP4oUXXsBHH32EhQsXDldc\nOeN0oxsAUF1hHdTrr5pWjL/sOYMPDjdjxaJJ0KipwhQhJLvkNVT9TPnLt7LpPp8Pv/3tb3H8+HFE\nIj3v6Q9/+EMWoyKEEJKrhlSUYv/+/fL/X3rppYwHk4tONbrBAKgutwzq9SqlAovnjkMwwuPACefw\nBkcIIYMQ7J7yd6kqf/nyYN+nn34aCoUCDQ0NuOOOO8CyLGbPnp3tsAghhOSoISVUkiSl/P9YxQsi\nzjZ7Ma7ICINWNejtvjEr9uDfL093DFdohBAyaD1V/i7xHKo8GaE6f/48HnnkEWi1Wixbtgxbt27F\nkSNHsh0WIYSQHDWkKX8cx+Hs2bOQJCnp/3FVVWNrTVBDqw9RXsSUisGNTsUV2/QoLdDjaEMXuKgA\ntYqm/RFCsicoT/nrZ4RKGavyly8P9lWr1QAAlUoFt9sNi8WC1tbWLEdFCCEkVw0poQqHw7j//vvl\nrxP/zzAMdu/enbnIckB8/dSUQa6fSjSnqhD/2H8Bx8+7MKeqMNOhEULIoMlV/vodoYolIPlSNn3i\nxIlwu91Yvnw51q5dC5PJhOnTp2c7rLRIknTJgkiEEEKG15ASqj179gxXHDnpVLwgRfnQE6q53QnV\n4bOdlFARQrIqGA1Cw6qhVKS+JSgYBdSsOm+m/MXXAG/YsAGzZs2Cz+fDddddl+WoBicY5nHe6UOx\nTYfWriAiUQFzJhdCoRi5pCrKCzh+3oVxhUYUWLT9vk4QRQAAqxjS6oJhIYoSREmCks1+LLlEEMVR\n8fmRHrwgQsEwI/o3Ty6N/krSJEoSTjd5UGTVwmYa+gOOJ48zw6BVou5sB61HI4RkVSAahL6fkulx\nWlaTN2XT47xeL9xuN0pLS8GyuTH1+sxFNzyBCE41ueENcohEBfiC3JD3I4oSjp7rgtMVHPK2h890\nIhjhca7F2//+JQlfnu7EoVMdCIZ5RHlxyL8nU0RRwuGzHfjsZBsudgQyv39JQpc3jCgvXNZ+oryI\nSPTy9pEOjz8CMUU7pM0dwsETbWjpzPwxS8RFBTn5Hi6CKCLM8cP6O0aCyxfBZyfb8FV9Z1bajkP5\nnVF+ZI95ttvSlFCl6WJ7AMEIn9Z0PyDWY3dFZQG6vBFcbB/eixUhhAwkyAf7rfAXp1Vqcn6E6rHH\nHsOJEycAQJ7y94tf/AL33nsv/vrXv2Y5uoHxQqzBGYr0bXC7/ckJlShKON/qQ5jjwQsiurx9E2FP\ngIMvxCUlRaIoobUrCG+g/wTN5YuA7278agd47EeUFxEVBPCiiLr6Dpy96JF/Jkmx35MqARFFCRFO\ngChJEMXkQljBcDRlo0mUYqNPviCHM00ehCJ80nZuf0ROVBrbfH0S0E5PGEcbunD4TAecXcGUyUVv\ngXBU/kza3SGcanLj7MWeY3nB6UOHO9RnO38oCn8oKieYHn8EdWc7EIkKONbQhUOn21MmfaIoDdhg\nDEV4NLX5k45Zf4LhKNq6Y+vwhHD8givpPIjyIiRJQlObHwDQ5Uv+u+cFEc0dAfn9p4p1sKK8iMNn\nO1F3pjOtpOpcixeHTrUjwglybFxU6HOszrf68eWZDvhD0X73FYrwKf9W+iP1Okfj30v891LCHA+P\nPyLHHt/W2RVElBfh8kXkhDYU4XGy0RX7P8cjEM5MsuIPReVjL0n9n2eHz3TIM7MuJcIJ+PxUG46e\n6xrUsRAlCcfPu/Dpsdb0OogkCYfPdCZdZxJ/lnhNGC5pPdiX9Ez3m5LGdL+42ZMLsP+YE4fPdqDc\nYcxUaIQQMmi8yCMicP0WpIjTshq4wn1vVrnk2LFjmDZtGgDg7bffxuTJk/Hqq6+itbUVDz74INas\nWZPlCPsSRBF7v2iC1xdCZZkFEnoaJ2oliygvoqUrAKtJA72GRX2zF6xCgQ5vCC5/BAxijS+7SYvq\ncou83qrL17fh2OUNo6G1p2E9qcSMYrseba4gWrtCmD7BJjfoAIAXY0lMU3sAVePMUCl7EqzeI1Lu\nQARnL3qgUbNwdoUQFQR4A1pMqbBCEEWEIgJEUcLZZo+c/GjVSlwxyY5AmMfx810AgFK7AQ6HGS5f\nBOedPpQXGVDf7IUkQT42vCCiotgIBgza3SG0dCUnKM0dAVSWKdHY5odKqUBLZ0BOos61ehHlxZT3\nZFGUwAsimtoDaHMHYdGrMX2iXU5GvEEulhBGBTR3N4ILrbF1iZIkIRjhceRcp7y/OZMLca7Fh3CU\nR6PTj1B3b35jmw+QJBRZdWjuDMCoVaG+xQsVq8Cc6kJ0uENQKVnYTBoEw1Gcb/XB5Y8gzPEIcwKq\nUjzGpc0dgiCIcNh0qKuPxWA1qOHpTsbb3SGYdCoYdWrU1XdAp1aC6054uaiAMxc9MOpUEAQR/lAU\nLn8EF9p8KDBrUWLXwxuMotMThkalgC8YxZyqQrS7QwiEo7AaNbAa1XD7OYQiPDRqFsW22PXGG+Ag\niCIEEXD7OBRYtBAlCYpe6wJ5ITZ6J4gSwpyAIosWDMPII6yHzrRDxbLQ6T3w+kJQMAxKCwyo6P4c\n29xB+X0adbGqzP5QFFo1K08DPdnoRpjjMX2CHRaDus8xjOOiApyukHze6NRKmA3qlKO9aiWLWZV2\nqJQsPAEOpxvdKC00QBQlmPQqnGp0x6aiKhTgRRFTK2zgogLOtXrR5YvAE4glWya9GkKvBDYc4cEw\nwNmLHug0ygGXnwTCUXR5IxhXZEg6thFOkM9Jk16NUJiHBGDGRJtcvToQjqLDHUaI4xHi+H6ngba7\nQ7AY1FCrWLR3J+xRIfa3rdcqwUUFsCwDj5+DzaRJWvvpC3Dyez3a0IV5U4qSridxoijhdJMbdrMW\nRdaeNb9NbX6EozzCHh4VDqNc7C0U4fFVfSdEScK08TYUFZn6PUaXixKqNJ1uSr8gRdwVk+xgANSd\n7cTSayZmJjBCCBmCQLT7GVT9FKSIM6gMiIpRRAROLlKRazSanunZn3/+OW688UYAQElJyagt7JA4\nItXQ3XA369XgBRHFdj2a2vyICpKccCRKnG7T5Qvj85Mcpo63wh+Kyg0eAPAFOZj0avjDyb3351q9\nMOljjXkA+PxUW9LPeT726JAwx+PMRS+mjbfKxzHV6EW7J3nEJtr9mmMNLgTCfUcOwhyPz04m/86W\nrgC+ONGGi85Ycn8mRY+0OxCBu77vaOrEEjMaWr1w+SN93kuipg4/ghEewTCPcJSHSafGzEl2HD/v\ngi/U03vuCXJJIx6iJOFoQ1fSe2l3h2A3a3DqghueXj3v/lAUKpUC4SjQ4U0+No3tfjS2+5O+F+EF\nHDje8/zK6eNtONYYSyDiOrwhaNtYqFUKCKIEllWgvrnnGJ13+uT/ewMcwglTDOsTRqlCCedOJCog\n4gmhw9N3xK3TG0ZnwqhOMNLzvi+0+eTXFJi1Sa8LhHg4bLqkYxWOCjjf6kNLVwBzqwqhVSsR5ngw\nDINTje6k1wqCiBJ7cidQVBAQv4qJkoSLHX5o1Cy0CZWUna4gGAZQKhRo6ogdX4tejakTbPLfi8cf\ngSCICEV4tHaFMKnUhDZXCJIkQaNWwuULy+du/FiF+pnaxvECnF0hlDuMaGjxghfFWMLcS3zU1xOI\noM0Vkv8v76c7mQQAo04FfygKT5DDme7PNhjhMZEXoVIqUhaqOd3oQTjKw+2PYHKZGe3uMDRqFmpl\nT2KUODLk8XMwaFUIRXicanQnTUU9eKKtT9LpC3I425y6w+3IuU6Y9Oqk96NgGNjNWlSWmaFgGER6\ndcAcbXBhblUhIlEBaqUCzZ1B2IxqBCM8XP4IXP4Iiqw6SJIEQZTkDgwAOHS6A3OqCqBRsTh6rkvu\nLGlzhVA9KWWIGUEJVRokScKJ8y5YjGo4bAM3QgZi0qtROc6MMxc98Ieicq8JIYSMFH801qgwqQce\nJTerYz17Ps4Hja5g2OMaLk6nExaLBQcOHMCmTZvk70cio3M6I5fQkIk3DAosWrmHPz4tazB4UcTR\nhp7Ey6BVIRCOoqHVlzKhAYCzzX3XSU0bb0NLRwCeIAee62kI1jd7YdSpktYCVZZZEArzfUaJgFgj\n7HivBAQAKkvNaGwLICqkXk+UakqQRskikjCFUKdW9mnkKhhgcpml34ZfosQRPF+Iw+cn25Ia0XHt\nvab19X4vZ5s9ONuc+ne0dAb6NHzjn8lgHL/ggtnUtw0STxQu5cwAx0GrVmK8w4hTTYOb4tXbhV5J\nQ2evqXRt7iDa3MGkds/Fdr98jh8+0wmdhkWwn6lazR0BuHyX/putT/EeW7uSR5I8QS4pUW3utWYs\n6RikMR2ttSsIi1Hdb9I1UGypYrCbtH06RYBYB0QwAhw/3wUFw0DJKmBs9qHL3fN+AuEojjW45ASu\ntwqHCY1tPjS1++XR71SOn+8ZRWp3h/qdJhxPpBOTKSB2LevwhMAwAMcJ6B1NmOPx6bHkR1k0tgGF\n5p7zvbUriAtOn3zOqJUsOF6ABAlfnumAzajp930OB1pDlYaL7QF4g1HMmGC/7F7N2ZMLIUnA0XN9\nexcJIWS4+bhY48s4yITKyw2+AT/aPPDAA1i5ciVqa2sxb948+dmJX375JcrKyrIcXV+8IPZp0CoV\niqSe4eoKK5QKBaaNt+Hq6cW4srpo0Psv7u7h792Av2JSAcYVGlP+DACsRg2UCT3bWnWsb7bdE8K5\nVi+aOvzyaJTFoIZO29N3W1FklJNBAH1GbQDAYdNj9mQ7ygoMmFhihoploVX13/9baNHJU+uA2Aje\npFIzrqwuQoWjZ4qPzaRBkVWHqrLBPTtyfMK2vZMpkz72GaRT1CMuGOH7HN9ie/9Tb6dW2DC7sm9n\nhs2oQfU4KxbMKJGnaaXisKbet82oQVmBQf56xgQ75lYVwm7uv4JjpvhDUTnmxLVrEqR+kymNikVU\nEOHtPnccVj0WzCjBhOKBp3NNH29LO06dWgnVABUiJ5WY+/1Z746My9VfIbSjDV3ySLUoSeB4IWmk\n2KRTy/H0plGyKLLoUFagl7dPTKa0aiUKLcnJe32zF55AbGQq/veeOJ3QYtCgutw64NKYdncIniAn\nd5LMnGiHXtP/OZw4ktvQ6k06Z8odxqTPweVPTuK6fOGkDqpMoxGqNBzpTn5mTEz/jzNuzuQCbP+g\nHodOt+PqGcWXvT9CCBkKf3eCZFINnFDFR7C8XN/pKrnilltuwfz589HR0SGvpQKA0tJS/OQnP8li\nZKmxCkZOJArNOjAMMHlccjJg1qsxf5pD/lqT4kHxMybacSyhQVfhMEGjVKDAosX5Vp+8IL3YpoeK\nVcijBhe7Rzr0GiUsBg1augJygymx/PjkMnNsxMAfgUmvThpB0qhY2IwaMGBgM2kwrsgIUZLkRKTI\nqoPXz8mjS/FERaVkMb67gRyf2hXvsXbY9PD6QrCbtJhQbIJGzcIX5HCxI7bGakJJT8N6XKEB4wp7\nkgUgtq7JoFMhGOZx+mL/IzAGrRLzpjjk6YFqJYtCixYKhoHVpElaD1Vk0aHdE0J5oRHFdj0YJtb5\nWmLXQ61SIMwJaGj19empjx/3+PEwJCSflWUWeP2c3Ig06VVQsgpUjbMkTXV02PRyI7u8yJi0zs2s\nV8Nq1CAUiU2xi68lspu0MOhUKLbpwCqY2Bo0CWCY2O+JmzHBjuaOANwJcdtNWkwqNcHl58AyDFRK\nBcDEphBq1WxSbLMqC2DQqlDf7EWE46HXqpIa6ha9GpVlFhw+29GnGEixTY8wFyswUVlmxpdnOgDE\nRj0SR5HKCvXy68tKVPj08EVIkKBiFRCl2DrEUrsBFqMGcyYXghd6EpzZlQVo7QrJxyVuUqkZJp1K\nXm9WYNFCr1HKHRwldn33+1XCG+BgN2vlz3zaBBsOn43FqmAYGLQqeapoVZkFlu7P41ivabplBQY0\ndwZgN2lRVmjAkXOd8qhLIq2aRYXDBH+Qgy8YHXAUJvHvdEqFFU3tfjhdQWjVSoiiJO975iS7vO4o\nlfEOI+zd6+Xqm70IRqLwBDiwvZLMylIztBolGp0+TC6LJTd2sxZzJhciEIrCoIuNwMbWhEmoq++Q\nt51QbIJJr8bUCisOnWnvN5ZUim16FFm0CEZ4MGCS1pomGs6p3ZRQpeHAcScUDINZky9/2kuFw4gS\nux5fnOpAIBwdsHeJEEIyzReNNUwGO+XPG8ndhAoAioqKUFSUPIpTXDw6O7MYhsHc6kKYLDr4Uqxf\n6c/sykIEwlGcbfZgQrEJZr0ac6sK8eWZDqhYRVKCEU+mDFoVJpX29O4adSoUWXVod4dQaNGhrNAA\ng04p36PiDX+tWgmTXo3qChW4qACNioUgSjjT5EGhNTbCoVIqMG9qkZyMJfZiT04YLfIGOOi1/TdL\nZlcWIMwJmDrJDrNGAZVSITeQTHo15kwuHLDyYCKdRgmdRokCSwlCER6RqACPn5Mb+2olC7NBDYZh\n5IRuYkLvtyhJMOnU4HgBZYUGOKw6jC82Ji2kT0zsdJpY4QJPIAKNisV4h0lO5gxaJa6sLoIgSGAT\nni3ksOpQaNZCrVLAYtTIjeNCiw7BMC8nFaqE0UKbSQMVyyIqCCix65NiBmIJl0Gr6jPKwTDJ8caZ\nDWqYDWq5MmFDqxcVjtj7dFiTRyzM3clwOCKgtSuICodRPl8qy3risJs18IeiKLHr5c+v0KJDhycE\nh02HIqsOUV6E1Zgc49QKGxQKBgatEmoVC42KhcWglp/HpFAwKLTq8LUpRRBEEVq1srvKIwerUS1/\nDgBwZXUR/MEo9FoVSguYpIRq2ngbrEYNJElCoUUHUZRQVhgr5rBgRgmi3WuVenPY9HB0j75OKDYh\nGOExqdSMCCfICVZBdzENlVKNBTNi554vyEGvVUGvVUKlVKDIqoOSVWBWZWwd0PlWH8DEkob4+qjY\n37ABgihCFGMjpRfbAyi26zDeYZKPSVGRCecbu6BQxBLfCSUmWAxqGLQqCKKIuvpOWPTqpGTKYdWj\nzR2EXqOC3axBgVkrHzejToXZkwvQ1OZHU4dfXlcXn2Jr0Kmg0ygxfaI96djE/94SPwOoYs9k5Xgx\nNgLYfUw1ahYLZpTAE+heoyhJ0KhYnG32yomSzRiLKyqI0GtV8qi9QavCvKmx63tsNhmH6RNs8AY4\nSBJSfm6ZQgnVEDV3BNDQ6sMVk+zyxeNyMAyDRbNLse39s/j0qBM3zCvPQJSEEDI48pQ/lWHA19m0\nsWkbnWGanjzStGolhpLG6rVK6LVKWAxquQGhVSsxu7Kgz4Nt44Uaxqeoajep1IxSuwE6TayxlTjl\np8iqA8MwMHc3ZBQMI0/9U7IMpk1InsHR+/eyCkWfxo15gMpqsfelgr67gZ6qN11uqA1RvLFnNWrg\nD0fh626ExRv7vZMSIPZ+Z05KbjSmqkqWqNSuBxcVUGzTQ69VQqGwIRCKotCqiyWZ3f2pk0rMMHSP\nEioUjDxSl6jcYYSSVcBs0cGgTO51nzHRhosdAZQX9f1MU31vMOKjljbTpaeUljuMA1YuNunV8khk\n3KRSEyaWmvpU90uUmAT2LkiRSKVUQNW9ooVhmJRT5DQqFhpL7PPSaZTy2roSu15O5BiGQdW4vtND\nB9MoL02YQqnTKDGl3AqDVtVnhCQx0ei9XTwZ7T0qnYhVKMAqYp9rf5+tPqGjPl4MontrzKos6NMJ\nUVlmxqRS04CjOQUWrbxWT8WymD25ALwgDTlh0aqV0PbzZ28xqJOmN5sNanxxOjZyNXWA6Zvxa01i\nB8FITF+lhGqI/nmwEQCweG7m5tsvvKIEOz48h3cPXMDiuWX0JHdCyIhxRWK95BZN/2sAAKDEEJtW\n1hJwDvg6Mnr0Tjr0KWZAlNj1/TZOFQzT74gRwzBJZYuHav7Uwa/1GklTK6zgokLaydlAFAomaRTQ\nZtKkbOwPtI5K3hfDoKzQgKIiE9rbk9NtnUaZMhEYzRiGQTbrbBZZdbAa1X2msGXKSDTo09HfrKhL\nTY3T9ErCYqNuw/sJqlUsZky0J43ijibUch+C5o4APvqqBcU23ZAW/l6KxajBdXNK0eEJ48PD/ZQD\nIoSQYdAR6oSCUaBAO/CaUKPKAIvahEbfRYjSyFVOIvmJYZhRWapeySpSJp4k/6mU7IAjZKRH4nHq\nrxrncDDr1aN2aQwlVIMkihJe/+dJCKKEO2qq5PmpmbL0monQaVj85f2z/ZbNJISQTBIlEc5AO+xa\nG1jFpdeeTLdPhZfz4ZznwghENzp98MEHuOmmm7BkyRL85je/yXY4hBCSFVMrYp1wvav/jVWjIqHK\nhRvUjn31OHHBjblVhZhbVZjx/dtMGty1ZCoinIAtf/wc7+w7hzMXPRDF1JVKCCHkcjX5mxHgg6i0\nTBjU668quRIAsPvC3uEMa9QSBAE//vGP8bvf/Q67du3Czp07cebMmWyHRQghI85m0mDGRDsqSwee\nLj5WZH0NVfwG9b//+78oLi7G7bffjpqaGvn5INnm8kXw9r5z+OBwMwotWty7dPqwTVO45ooShDke\nf37vDHbsO4cd+87BrFdh9uRClDuMmDHRlvaCUkIISRTiQ3j7zP8PAPiaY/agtplqq8Ik83gc7jiK\nM+5zqLIO42PnR6G6ujpMmDABFRUVAIClS5di9+7do+Z+RQghIykTxdnyRdYTqpG+QUV5ARecfgii\nBEmSIIoSRClWApXnRUQFEYIowReM4ui5Lhw51wlJij3L4vtrZic91Xs4XP+1clw1vRgnL7jwVX0n\nvjzTiX1ftQCILZb9wfqvDevvJ4Tkv9ZAG1787BVEBA4z7FMxs2DapTdCbN3Lqqpl+MUXv8L/+eLX\nWDf1Niwcd/UwRzt6OJ1OlJSUyF8XFxejrq4uixERQggZDbKeUI30Deq1f5zEx0daB/36SaVmXDun\nFItmlY5Y9T2jToV5Ux2YN9UBUZJwwelDpyeC8cU0OkUIuXx6lQ7T7VNRYRqHGyquhYIZ/LVtsnUi\n7pq+Bh8177/ks6vyjST1nYJ9qRkLNpseykuU0x6MoqK+pbPHMjoePehYJKPjkYyOR7LhOh5ZT6iG\neoO63APx1Ibc600tdtD8VEJI5hTBhKfHfTft7ZcXXY/ls6/PYES5oaSkBK2tPR1yTqcTDodjwG0y\nkUwRQggZ3bJelCKdGxQhhBAy0mbNmoWGhgY0NjaC4zjs2rULNTU12Q6LEEJIlmU9oaIbFCGEkFyg\nVCrx3HPP4Tvf+Q6++c1v4pZbbkF1dXW2wyKEEJJljJRqzt0I27t3L7Zs2QJBELB69Wo89NBD2Q6J\nEEIIIYQQQi5pVCRUhBBCCCGEEJKLsj7ljxBCCCGEEEJyFSVUhBBCCCGEEJKmnE6oPvjgA9x0001Y\nsmQJfvOb32Q7nFHnqaeewjXXXINly5ZlO5RRq6WlBXfffTduueUWLF26FK+99lq2QxqVIpEIbr/9\ndtx6661YunQpXnnllWyHNGoJgoCVK1fiwQcfzHYoo1JNTQ2WL1+OFStW4Lbbbst2OKPaWLzH9XdN\ndrvd2LBhA2pra7FhwwZ4PB4AsUev/PSnP8WSJUuwfPlyHD16NJvhD4ve15TGxkasWbMGtbW1eOSR\nR8BxHACA4zg88sgjWLJkCdasWYOmpqZshj0svF4vNm3ahJtvvhm33HILDh06NKbPjd///vdYunQp\nli1bhs2bNyMSiYyp8yNVOzed82H79u2ora1FbW0ttm/fnl4wUo7ieV664YYbpAsXLkiRSERavny5\ndPr06WyHNaocOHBAOnLkiLR06dJshzJqOZ1O6ciRI5IkSZLP55Nqa2vpPEpBFEXJ7/dLkiRJHMdJ\nt99+u3To0KEsRzU6vfrqq9LmzZulBx54INuhjErXX3+91NnZme0wRr2xeo/r75r8s5/9TNq6dask\nSZK0detW6cUXX5QkSZLef/996b777pNEUZQOHTok3X777VmLfbj0vqZs2rRJ2rlzpyRJkvTDH/5Q\n+tOf/iRJkiS9/vrr0g9/+ENJkiRp586d0ve///3sBDyMnnjiCekvf/mLJEmSFIlEJI/HM2bPjdbW\nVun666+XQqGQJEmx8+Jvf/vbmDo/UrVzh3o+uFwuqaamRnK5XJLb7ZZqamokt9s95FhydoSqrq4O\nEyZMQEVFBdRqNZYuXYrdu3dnO6xR5aqrroLFYsl2GKOaw+HAzJkzAQBGoxGVlZVwOp1Zjmr0YRgG\nBoMBAMDzPHieH/AB3GNVa2sr3n//fdx+++3ZDoXkuLF6j+vvmrx7926sXLkSALBy5Ur861//AgD5\n+wzDYO7cufB6vWhra8ta/JnW+5oiSRI+/fRT3HTTTQCAVatWyefFnj17sGrVKgDATTfdhE8++QRS\nHtUd8/v9OHjwoHws1Go1zGbzmD03gNjoZTgcBs/zCIfDKCoqGlPnR6p27lDPh3379mHhwoWwWq2w\nWCxYuHAhPvzwwyHHkrMJldPpRElJifx1cXExNYTJZWlqasLx48cxZ86cbIcyKgmCgBUrVuAb3/gG\nvvGNb9BxSmHLli14/PHHoVDkimj2FAAABMJJREFU7KV1RNx333247bbb8Oc//znboYxadI9LviZ3\ndnbC4XAAiCVdXV1dAPoep5KSkrw6Tr2vKS6XC2azGUqlEkDy+3U6nSgtLQUQe2aayWSCy+XKTuDD\noLGxEXa7HU899RRWrlyJZ555BsFgcMyeG8XFxbj33ntx/fXXY9GiRTAajZg5c+aYPT/ihno+ZOpa\nm7N3/VRZNfWYk3QFAgFs2rQJTz/9NIxGY7bDGZVYlsXbb7+NvXv3oq6uDqdOncp2SKPKe++9B7vd\njiuuuCLboYxqb775JrZv347f/va3+NOf/oSDBw9mO6RRaazf4wZ7Tc7n4zTYa0r8/ebzsQBisyOO\nHTuGdevWYceOHdDpdAOuLcz34+HxeLB7927s3r0bH374IUKhED744IM+rxsr58el9Pf+M3Vccjah\nKikpQWtrq/y10+mUM1JChiIajWLTpk1Yvnw5amtrsx3OqGc2m3H11VenNSSez7744gvs2bMHNTU1\n2Lx5Mz799FM89thj2Q5r1CkuLgYAFBQUYMmSJairq8tyRKPTWL7HpbomFxQUyNO12traYLfbAfQ9\nTq2trXlznFJdU55//nl4vV7wPA8g+f2WlJSgpaUFQCz58Pl8sFqtWYs/00pKSlBSUiLPjrj55ptx\n7NixMXluAMDHH3+M8vJy2O12qFQq1NbW4tChQ2P2/Igb6vmQqWttziZUs2bNQkNDAxobG8FxHHbt\n2oWamppsh0VyjCRJeOaZZ1BZWYkNGzZkO5xRq6urC16vFwAQDofx8ccfo7KyMstRjS6PPvooPvjg\nA+zZswc///nPsWDBArz00kvZDmtUCQaD8Pv98v8/+ugjVFdXZzmq0Wms3uP6uybX1NRgx44dAIAd\nO3bghhtuSPq+JEn48ssvYTKZ8qbRnOqa8l//9V+4+uqr8e677wKIVSeLnxc1NTVyhbJ3330XCxYs\nyKsRiKKiIpSUlKC+vh4A8Mknn2Dy5Mlj8twAgLKyMhw+fBihUAiSJOGTTz5BVVXVmD0/4oZ6Pixa\ntAj79u2Dx+OBx+PBvn37sGjRoiH/XkbK4RVpe/fuxZYtWyAIAlavXo2HHnoo2yGNKps3b8aBAwfg\ncrlQUFCAhx9+GGvWrMl2WKPKZ599hvXr12PKlCnyHPXNmzdj8eLFWY5sdDlx4gSefPJJCIIASZJw\n8803Y+PGjdkOa9Tav38/Xn31VWzdujXboYwqjY2N+N73vgcgtiZv2bJldN0ewFi8x/V3TZ49ezYe\neeQRtLS0oLS0FC+//DKsViskScKPf/xjfPjhh9DpdNiyZQtmzZqV5XeReYnXlMbGRvz7v/87PB4P\npk+fjpdeeglqtRqRSASPP/44jh8/DovFgl/84heoqKjIdugZdfz4cTzzzDOIRqOoqKjACy+8AFEU\nx+y58corr+Dvf/87lEolpk+fjueffx5Op3PMnB+p2rk33njjkM+Hbdu2yffrf/u3f8Pq1auHHEtO\nJ1SEEEIIIYQQkk05O+WPEEIIIYQQQrKNEipCCCGEEEIISRMlVIQQQgghhBCSJkqoCCGEEEIIISRN\nlFARQgghhBBCSJoooSKEEEIIIYSQNFFCRQghhBBCCCFpooSKEEIIIYQQQtL0/wD6ShLim/E7aAAA\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f18c212ebe0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace, varnames=[\"w\", 'mu0', 'mu1', 'mu2']);"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(1000, 2)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trace['mu0'].shape"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['w_stickbreaking_',\n",
" 'sigma0_log_',\n",
" 'nu0_interval_',\n",
" 'C_triu0',\n",
" 'mu0',\n",
" 'sigma1_log_',\n",
" 'nu1_interval_',\n",
" 'C_triu1',\n",
" 'mu1',\n",
" 'sigma2_log_',\n",
" 'nu2_interval_',\n",
" 'C_triu2',\n",
" 'mu2',\n",
" 'w',\n",
" 'sigma0',\n",
" 'nu0',\n",
" 'cov0',\n",
" 'sigma1',\n",
" 'nu1',\n",
" 'cov1',\n",
" 'sigma2',\n",
" 'nu2',\n",
" 'cov2']"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trace[]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"gist": {
"data": {
"description": "Possible Bug: pymc3 multivariate mixtures",
"public": true
},
"id": ""
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
},
"toc": {
"nav_menu": {
"height": "48px",
"width": "251px"
},
"navigate_menu": true,
"number_sections": true,
"sideBar": true,
"threshold": 4,
"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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