{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Example. Estimating the risk of tumor in a group of rats" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pymc3 as pm\n", "import seaborn as sns\n", "import theano.tensor as tt\n", "\n", "plt.style.use('seaborn-darkgrid')\n", "plt.rc('font', size=12)\n", "\n", "%config Inline.figure_formats = ['retina']" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "rat_tumor = np.loadtxt('data/rat_tumor_data.txt', skiprows=3)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# Rat tumor data from Tarone (1982). Data from Table 5.1 of Bayesian Data Analysis.\r\n", "\r\n", "y N \r\n", "0 20 \r\n", "0 20 \r\n", "0 20 \r\n", "0 20 \r\n", "0 20 \r\n", "0 20 \r\n", "0 20 \r\n" ] } ], "source": [ "# If you can use bash\n", "!cat data/rat_tumor_data.txt | head" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the first column of `rat_tumor` is $y$ and the second column is $N$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The shape of rat_tumor is (71, 2)\n" ] } ], "source": [ "print('The shape of rat_tumor is {}'.format(rat_tumor.shape))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We construct the model." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_1:\n", " \n", " alpha = pm.Uniform('alpha', lower=0, upper=10)\n", " beta = pm.Uniform('beta', lower=0, upper=25)\n", " \n", " theta = pm.Beta('theta', alpha, beta, shape=rat_tumor.shape[0])\n", " \n", " y = pm.Binomial('y', n=rat_tumor[:, 1], p=theta, observed=rat_tumor[:, 0])" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "alpha_interval__ -1.39\n", "beta_interval__ -1.39\n", "theta_logodds__ -21.37\n", "y -256.01\n", "Name: Log-probability of test_point, dtype: float64" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_1.check_test_point()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster71\n", "\n", "71\n", "\n", "\n", "\n", "beta\n", "\n", "beta ~ Uniform\n", "\n", "\n", "\n", "theta\n", "\n", "theta ~ Beta\n", "\n", "\n", "\n", "beta->theta\n", "\n", "\n", "\n", "\n", "\n", "alpha\n", "\n", "alpha ~ Uniform\n", "\n", "\n", "\n", "alpha->theta\n", "\n", "\n", "\n", "\n", "\n", "y\n", "\n", "y ~ Binomial\n", "\n", "\n", "\n", "theta->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(model_1)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [theta, beta, alpha]\n", "Sampling 4 chains: 100%|██████████| 60000/60000 [01:26<00:00, 695.44draws/s]\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with model_1:\n", " trace_1 = pm.sample(draws=5_000, tune=10_000)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/rosgori/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n", "/home/rosgori/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n" ] }, { "data": { "image/png": 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2fI+inoyDJ22k3Ml2Adt9Dw33dPh5dqRsFk3fdW8av7UFTFhrjW56LVNFS9cY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U2tqiOt2wlM6NmOa9EcEvv6sJx+XJobv+LGr5bnBUw9c8twaArXequJxDUGl1/D8sYyijMxfI6J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\n8zjvvPMGdb49GWyXybQXK9z5ECGOgkpwAA12v+wUuftuklpg+OmvkW1Pv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dua8TSBES9aqzUFMCzw/ql/CiRr290bjFSTrDDgOhUTISiOJJBFDQExhurj4/vmjVW5zQp4Hu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\nk/kBssEvQiCUCZOriPz8IM+aZ3q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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_1, varnames=['alpha', 'beta']);" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha2.7925880.7431890.0133341.4367324.1841452956.1497721.000011
beta16.7304284.2543480.0724549.88230724.9981283307.4349241.000008
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff \\\n", "alpha 2.792588 0.743189 0.013334 1.436732 4.184145 2956.149772 \n", "beta 16.730428 4.254348 0.072454 9.882307 24.998128 3307.434924 \n", "\n", " Rhat \n", "alpha 1.000011 \n", "beta 1.000008 " ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_1, varnames=['alpha', 'beta'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The posterior plot of `alpha` and `beta`." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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LJqPnqn35HnQoy87GjV/X4/6xX/H5moMoY+uQO12Wg+vbV+Pl7SsQicSwd6uN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\nWK7esmUL9uzZA5lMBi8vL8y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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_1, varnames=['alpha', 'beta']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, I have used a uniform distribution for `alpha` and `beta`. You *could* say that it is a regular prior, not good, not bad, but at the end disappointing. So let's try to improve the priors. \n", "\n", "The following is taken from [here][1]. According to the book, the prior for $\\alpha$ and $\\beta$ is \n", "\n", "$$p(\\alpha, \\beta) \\propto (\\alpha + \\beta) ^{-5/2}$$\n", "\n", "In order to use this prior, you have to define the logarithm of $p(\\alpha, \\beta)$ and use it in `pm.Potential`, [look here][2]. \n", "\n", "[1]:https://github.com/pymc-devs/pymc3/blob/master/docs/source/notebooks/GLM-hierarchical-binominal-model.ipynb\n", "[2]:https://discourse.pymc.io/t/difference-between-densitydist-and-potential/307/4" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "def logp_ab(value):\n", " \"\"\"\n", " Prior density for this problem\n", " \"\"\"\n", " return tt.log(tt.pow(tt.sum(value), -5/2))\n", "\n", "with pm.Model() as model_10:\n", " # Uninformative prior for alpha and beta\n", " ab = pm.HalfFlat('ab', shape=2, testval=np.asarray([1., 1.]))\n", " pm.Potential('p(a, b)', logp_ab(ab))\n", " \n", " # Our alpha and beta\n", " alpha = pm.Deterministic('alpha', ab[0])\n", " beta = pm.Deterministic('beta', ab[1])\n", " \n", " theta = pm.Beta('theta', alpha=ab[0], beta=ab[1], shape=rat_tumor.shape[0])\n", "\n", " p = pm.Binomial('y', p=theta, observed=rat_tumor[:,0], n=rat_tumor[:,1])" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [theta, ab]\n", "Sampling 4 chains: 100%|██████████| 40000/40000 [00:52<00:00, 767.32draws/s]\n", "There were 18 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 10 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 4 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "with model_10:\n", " trace_10 = pm.sample(draws=5_000, tune=5_000)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/rosgori/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n", "/home/rosgori/anaconda3/lib/python3.6/site-packages/matplotlib/axes/_base.py:3455: MatplotlibDeprecationWarning: \n", "The `ymin` argument was deprecated in Matplotlib 3.0 and will be removed in 3.2. Use `bottom` instead.\n", " alternative='`bottom`', obj_type='argument')\n" ] }, { "data": { "image/png": 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USZJYsmRJr+fdeuutLFy4kBkzZrBkyRJuv/123n777YMRfchhS8gYvblaHYTC\nsie4m9ZEC8PdIyhyFh1wO91hJgP8jZZmOOmUA2sktVjLcYxmp/P3Z6ln7qfLkmmaKKtXYhsz7iBj\nq/t+QdqnSTnUDhdIo2B0l8OmpoFhILlcfdBZ328aZM5FT/OyqmUFLUo+R7iP7vP+M9kbqiCg+PEp\nfkbnZc+l6fMddPuG37dfdc5SKKuWgzsP93kXHHjnA2wpz8nl75FHHuHWW29l8eLFLF26lKVLl/L+\n+++zdOnS/pZPADy56W0kdzvz/X58u4eDzTakrVOZFLmLOeORl9g1PZ8frfuIX247Gm3YUZQs/SG2\ncNNgiycQCIYIJ598Ms899xznnnsut99+Ox999BGqmvvudSQSoaSkpNdzdu/eTTgcZsaMGQDMmjUL\nr9dLZWXlQcm+f/TfIiFX96biDbsYtmFXbw0dWP+GSUgOAP2TFc9oaui7xnLdBU89gwfimZbsQ8p1\nOpPzbrS15nrBQR3OqYeUIrmP+fLLPnYFcot3tAdr0j8b7tIux5W1n1oL8kEkokZoT7R3e2xfj45h\nGhgY+NXm9GeyZvSt+2GyLYfNabWvd41R1Mp3HlQXemsL6sbPUDZlZOfcnzHIucVNdmGQLFQ5KVQl\nJSXMmjWLSZMmMWHChKz/BP1LXNHYGPonR2hwnjqJ+Ip1VuzUELdOZTK8aAxH/+9fqT3CwfUfvcUT\nkStBVyhZOh/0/QiKFQgEn1vmzp3LCy+8wJIlS/jSl77E66+/zoUXXsidd96Z0/WhUAhd15k/fz6z\nZs3ixhtv7KIo1dTUMHHixKzPJk2aRFVVVZ+NY7BQdIWPmj+gMXrwSocZObA4ifhnO8n/bCvQ/2si\n80AXaxkLQr/sY09wdy8nd5zv9PrRTJUtwRU9LrTBShjQkTQgNQn7u5DO0Xp2AAv0nhRdqYc+c82S\nt8m7gaZY73Fp6b6MfWyUJAY/udW69k/Z6uuI5YtrsfR82yU7umGi5+gGGlU0VlR4qPX1wbjSFlPr\nn1Q81+5gLxskOWLKMlp1x99CM2rFzZm+vs9U2NOzq9XVpv/+GK0tAxorlpPL35w5c3j55Ze56qqr\n0rWoBAPD37augrx6bvD48FWfC7Zdh411KpNxI6aS+N8/4VtwE+e+/grv3TCXy1qfoPCTB4ie/8Bg\niycQCIYII0aM4Ctf+QqJRAJVVVm5cmVO1+Xl5TFr1izmzZvH5MmTef755/nRj37E4sWLcST9+OPx\neJckF263Oyu7YIqiIjcOh/2gxmK32ygttUqWhAusfgtL8rHl5x9Uu4DlNuXsKIcSkBUKw26CkocT\nS4/p9VKX24FpmpSU5FGaV9B/rZVvAAAgAElEQVTlePjTFTiT8haXZh/X/X4kt5voihW4TzoJ12Qr\nVkoqdKO7neRJUFjgZtiwAgqdHWN3R53oNik9H2nadiLJIZYR45jhxzCsh35T7aRwNNeRf1pucUmZ\nKMV5yAVuXCX5bIhvA6C09HSin3yCLS+P/C98AYDCgNVXfr6MW3Fiz3cRzFPI01z4aeXo0ikdcxIM\nYsvPR3K5iK5cgRGNUTx7NqjgynNgt9m7jpvs5wPA1HUiyTG6i/JYurOFUyYMY8pIK3ZJra9Hqa2l\ncGLynDwHBQXuLnOlDMu3xljkxp08FlEjJLQEhUVuJFXLuj8AGPlIUTcU52FmtFcUd6PL1v0sdWf3\nU+eLYZNg4vCC9HwVFFgL5eJOz32WjPECJNX63CzOg+Sx1Hx0e81+Uhhyoxl2SoblYxxAe6nxlJYW\nEFEjbGn8jOmlRzO9dDouFfbutJSj2cfmU5ScR6nQTVCL004DhQVu3G4HBYUudIf1r2yzdfsc9ETm\n8yHv3o3a0ICrKB9dS1AwLB97aQH5ESdoHbJmkppHW6Gbwn30q4dCxDauwQEUHDkB+/DhyMV5KMk2\nnCV5qH437pJ8XDmMYV/30DTN9LOeeU7402pIfc/bGrElwhSee26X+egPclKonn76aQKBAA888AB2\nu/WCEDFUA8PbDa9SZJe4NOCm6dMdh0XsVE8cOfFUdj78MMrCOxn2/L8on/dNjtv2V7RxX0A+5huD\nLZ5AIDiE2bVrF8uWLWPZsmW0tbVx8cUXM3fuXM4555ycrp80aRL3339/+vfvfve7PP7449TU1DB9\n+nQACgoKutRfTCQSFBZ2DbaPRA5+Z7S0tIBAwFLW5JjVnhaMI8n7b1lI6Any7NaGqJTw46pbiTrm\nVIzSowAIKjGiMRm7Kqf77AlF1jAwCAbjSImu56ZkBdAz2rJ5dhFfvxPcJWAaxHdV4CoZBYA7KiPL\nKrKkEo3JBIMxVIeUbk9WVAzD7CKbu6YMXVGJxWTWTwxzTlSnLlLL6NZTGOHOjt3IlMsWSSDvY5yZ\nSLF2sDlRQ3H0mIwcSRA1rPYCgRhysxV0L087HoBosq94XEFWVOS4QgwFVY4RCcYI5HX0LX/4Ebjc\nuM//KnK7v2PetDhKQkOz27u9JxETCjDTmeJMXUdJ9hvwRIhFFbbX+hlmT87jOsv1Klas4/QGSSRU\nYg456x4BaKGENcZwgnjy2LKmDwEosBcS07PvD4A9FMcRldEdCbSM9gKhKPGYh2j4U5j01ax+1uxs\nBrudrx0/Jj1f0aiBJEmo1Q3Yho9I37Os50jNxxlNfh9cCfTkXKa+L91dk0KKe3HVr0aZchGmu2cX\n31hUQTVVgsEY9l7a64nUeHzVjfjVAFFNpk5rYhTjiWsxZNlK4hEIxNCclrOYOyqzIlyOmowdlGWN\nWFQhGIwTiyok7NI+v5uZZP392Ga570mGDTMmowZi1Pg0ypp9TBxh3cfotvcxisfTaBuP026jKDkG\nybSj7qNf+cNlHT831ZOQbeSFrecIwBZOYMRklFAce6e27L4KJD2BNvrkjjZ6mHN/TKE1LHPsmKL0\ns555TuZ3HAA1mJY9cz4OlNGje06okZNC9eqrrx6UAIID46PqHSRc25jvDxJuPR2oJP871wy2WP3K\nCSdcyKf3LGTCvb+h4aUNjL76dEYsvx1t5PHoI48dbPEEAsEhyve//31mzpzJz3/+c84++2xsOWQ5\nyyQUChEMBtNZ/iRJwjCMtHUKYOrUqdTU1GAYBjabDU3TqKmpYdq0aX06ll45ADet9ngbW/1lnDbi\nDEbmjUJSrExqtrg3rVD1RETWcNptuB29z6cRiaCu/QTXl8/r8RxH+y4c3nK0I860PuhlLPszzMSm\n3eTnu9FLitBNJxEthC+wi3PG7juxkalpoGtI7k7eN6aB3V+JPnwaSDZcDZ8AoDpP7qaVnonZrYWz\nXOiiPraDY7ftIS+mw9gvZp+odKOAp7I/d+M21xqW2eOPMy7fwdGjk8k7co2B212PLRgiP/+I7k/o\nw1gdzdRw+HbjLJgKShRc1uaDVlfL8I3rCZx6drfX6U2NPSczsHd8J3tyNQQw/H5sw4dnXxqqB8AW\n92CYOvZQPdqYrglKVNNyK9znVOgytnBTj98jdeN6UCNw6r4z2+0Lhz2HzI09xKxt929ltHsM44Z1\nxJxVtEWJyBpgxVHZ4h5scQ9bdOt5+mqqzfh+KCFKlLZdK6gvOY7TR4xLf9wcTNDSGOLUo0062+0d\nHit2Tht9cjL2rI3xPTS/vtaKsTxmVIelSf5wKe4ZX8tdxn4ipzfOhAkTKCoqYsOGDSxfvpwJEybg\ncDhEDFU/80z58zgMiTmeBJHP6nFfNBP7ET09ZocPX/7yHLbdfB2jQypr3w4jU0jJkh+kFwECgUDQ\nmdWrV3Pfffdxzjnn7LcyBVbCieuuuw6Px0q5/dprrzFu3LisNOrTp09n9OjRvPPOOwC89dZbTJw4\nkaOO6l0pORC0ulq2v/42n1TvI9OWrmD37Ox15ZcqIhppqd1nv5kxMqauU/bBJ3yyKzu2pbuejBYr\niZDe2tJj20awf/+GS+mCntZCPv2zoXV3OoAVNL+6q1uoPViTrKtUkX0gmSkwnT4dQIlib90MiVCX\ndlqj1rxEtQhmMjOF3dt9Qd3O9BbjpOoGmCaVu96nwteRPEDWDPyx3mOMirFcRu1S93vqemVFSoCc\n5Kxoj7C6Mvs51U0d0zSxJefJJknYox3PhpF8TuzdKZI9oSs42reB2ksskWmi6TpbGkM0N3eTPj+Z\nstyUbLjqV2EPVHWpZaWbHbXCzIxsIsqG9Rjh7HvsbNmEs20LktzzPU19p7LiyUxw6PGc5nh/1NsN\nnvV81PxBt8fa5bb9aOnAkAyFmKyRr3gxM+a1OWTdZ1XLnmtH21ZCepzVkQpUQ2WTdwNV4b0Y+6gv\nlnPB4wHMT5HTW2fVqlVccsklvP/++/zlL38B4LHHHuOpp57qV+E+z9QEW2jWP+XKaBzdewpmPE7+\nf1032GINGJdfeTMfXXsJR7bEWPLJSCR/NUXLbx8aRS0FAsGAc7D1Ws466yzmzp3LNddcw6xZs3jn\nnXd44okn8Hg8XH755enzfvOb3/Diiy9yySWX8Oabb/LrX//6YEXvFn1POV5viEgiWxlIqNm/Ozw7\ncfj2YAv3HtDvavVh37YLvaG+48N9zJnhacflbcNVvbfb49kJB6y2jB5rQPVffsJUu0W7atMySVgK\niS/WzsqWj6gJV1MR3INuZBfWlerKkOL+ro0mzzN1mbBqLaJlQyVWmQze1zvakeI+JEPHFu869pSS\n54i2Yu8mk1ou47JnJGcy/D50j5XUwuHzYK8qp3372vTxen+cOn8cvWwDA0WVp6sFY0XzMjZ7N9Ld\nXZfkILZ494kKUmebwaBViygDZ9M67P5KnG1bkA2VT6OVJPRshcxVtxxbi5UMojHUccw0TWRd7uhB\n6iW+MWOd0RTryDZsBvxo5Z2SN6T670UBSP1tStXkAnCrfoaH92AP7XuTI2116uWcmBZlT7CckBpE\nksPYMjIhZhKMq6i6SkKPoxr9l7DBrQazNx1SbqkV5cjLO9wD7YEq9srtJEyVoBJIK2F6N/NpmiYG\n1maBcQiuBXNy+XvooYd44403mDRpEpdeeikA99xzD9/85jeZP39+vwr4eeWxzc+DpDPX4yO4aTjO\ns8/BMb1/6xEcalz7vQf5q8/DFW9vYnH+MVzB22jjviCK/goEgn5h7ty5zJ07t8vnKYsUwLHHHstr\nr702gFJ1EFd0Pqv0cfQUO0eOSLq8JC0BWkM90nHjeyzoapNVQEpmvepIzqBuLcM2ajSM6qXoag7K\namrxawa6UU56vGg/FkVmjudnnKNXVRLbuRbp1BFUhisoNRLEtBjFrg73K1vCB4merYB7IjXUKk18\n1VD4JLqXwpCTk4afAhnz3FMmO8MwaQnLDHeBIx6kyBZFoueFsWZobPdvJc+Wz4l8rVsLlbrxM+uH\nM8+HZDZASdNRdBkndqJKUhH0+WDY1O770QxU3dxnlr/OCk1OZDwrfsWXjtvTTZOwFkVVAoypXYHh\nrQasjJmZ2e5CSpBSdylmLIry2bqspjOVsEY1QNSQaZTbmZJxjiSHrHmxgbuhBlM5BsnlojpcRXWk\nkvP1fPJDUZTdH+CYXopkt4Emg7P7RC/DXMO6Hd+ypveZVDiFE7u5xpRl8mqaSUwZ181R63mxJ10K\n13s2cMGok7K7UKKYrk7fR9PEuX0zhutEbCNGdnys6+jVVWwtbCVqWoqtw7cbp2qHKScAEK7ZA0BM\n0aloj6LEtoNHpSKW2hRwdpXRNPEk2hnhGoHNdmDJdaSCAkxAKi6BzMSfuoapKF3qhElI2CQ7mBpR\nLUKpKzslfk2kiop4GdPcZ+9HhsqBM1HlZKEyTTPLrxwgPz+/b3PiC9JE1ShbI0v5SsygqHUaRjBM\n/jXXD7ZYg8J3b/sji8+fytE7QyzZO53CTx/E0fzZYIslEAgE/UpCsxY7UkZ6b0U3ARNfLGOhK9nQ\n2/xoeyvRa2uy2tjo+Yy1bZ9kuTBZWO9uW6wdo60Vbef2Ht/nNiO3RXVPNZ4cLRuRUgvhXtYMhpyM\nWUnK1pZoYVXLirTrjy3uhcbu//anWrVFmrC3bEx/rrc0Y2JgyBqtYRnTyN2S6fBabnTyljJK12xD\nS85hbNRwtjSGaFV7bsdMJHC1eEloBopqEExoYII9NZc9XFoVttL0J4ykS9s+3J46lBeTTd4NWfNr\nmiaGqXer7FV7YjQH920tM1qb93nOPklYCvb2RCPrAlvZ4FmP2ul5rPZ2WLgaYnUEkrXI6CZ2x4jE\nUVu8dDeJ3qiCL6Z0PA+qjLbLis/xydYzKJsKal0rUqAZM55MmJDoeRPAaeu5OHB9tLZbOZTVK8hr\nbCOvPuViJ6HpJkY3adLTBbIz7rXDa1nBnGqY/KSbnqRp2IN+1G1bs67X62rRa6pwNnVfe8zw+/Bt\n/RQAzYCEEUEz9l0ULax7aIk305rItaZZN6Qsay43qW9pVIugGzrq1rJuL0klWGmI1nU51ha35kIz\nlR7/lBimyd72KFFZByWGTfajGipbfWUo/VyGJyeF6qijjuLxxx9P+5YnEgmeffZZpkyZso8rBQfC\n09tex7TF+aG/Dd8OO47jT8B52hmDLdagYLPZ+Pai51l2+hiO3BhjZdVYSpbOtzIuCQQCQRJFUfjV\nr37FjBkzuPDCCwH4y1/+QnV19SBLdmBEE9ais2RnRy2blngDPqVzwXMJU9dBVzFVlbpIbVqBCih+\nolqUlr3/wNG+HdPUaY41UeZP1nrSel9US3KYkaFdFCSy46JScSWN9R/i3vNWzw0YVtC/s3GN1Z69\n0053LwpWVbgS1VBQkzWHJLlrfFIXedU4Ht2qfSMn3ZlUQ8MfU2kNyWnrTU6YlgXH4bf6TUmqJWM3\nWjLdyTIu8yY8VK/+JwWVDdiS7plmaiFtgrUPL3UbI2J0UjQy19+2SDO2YCf3MNPEmfDi8O4mEa7P\nOtQQq6M88jF51XswE53v8/5VGY4pOlsbQ8ST8ydpckatrJ6xJQI4vJZ1JJrhXtZ57LphZsXuaWZH\nDJg/piYTJ1gkdlSh1nY8j6aWQIpaC+1PKz00+JNjNU0kk7ScKUVaSgQwoh0xWO1aGK1TXSsz+T9r\nvDkaDrp5ll2tvvSxnS1htjd3rc9m0+Kgy+nEDJmURqsY69+ULUHnflJKSw/3w/B60tdLQJtcjRmo\nwxb3URKrseK4ksQNhVDSLTV1jzq7yOaCbup8plXQXFPW6XOV2kgNjbGGtCXbVFTMDDdmQ9Mo/SRb\naUwhST2X+w4p1vdU0QzCssKG1p0Y7Vux+ypoiNbRnmijJlSz32PZH3JSqO6//362b9/OeeedR1VV\nFWeeeSYbNmzgF7/4Rb8K93lENzTeb36T6QkHUxqGo7cFyP+v6w86PmAok+d0MeOXL/PpcSWMXWuy\ncbtKyfsLoJdAY4FA8PnirrvuIh6P8/jjj+NKupIceeSR3HvvvYMs2cFhUzt2VUNqgDalOr2mMk0T\nku44ki4TalxNRWAXlaHuY57QEtRFa/AqgS6HfO+8i+kPZ71rtK2WMufSOpSZYMa1vmD3/UiR1m4T\nNEjOrq5D8ofvo+3ej6KimQtKzVoMqrqe3uBXDC1rDSwBalIz2T81AhIby0k1Zqb/hZGhHRSFO4o+\na3s6EleU+Tbhi1gLfimtR5lZYsf1OMubP8SbyIi5ksNdYrkyrYbOpnU4W637kdASxLQIeXI7Di2M\n0x9n2Keb03NTGG8immgnLxLD2dKE8vFKjEhGQpAMuXoipsVpjlkWqrZkCQB/XAVDxtG+LW3B6xVd\nya2wby/LmyaPh4bmni1ltlgbrsZPu3w+OriVklBH0eV0YgilQ4GI1jZSFq9nR6i8y/WtEZmK9iiB\n+D6KCAM+Lcqy1pXEtGj2geT96GyYag3JHYqQHMRVuwJJ7XRtVjvs03MtrnVN1KH7fOg11WlRLNdK\nE5uhYQvVkR/1MXlPWTrRyifRStbFDqxIuW6Y7GgOE1N0NKyEKe0NOzFME8PbjiPoT2/EyBlxb/HN\ne8jbYm0GSJKElJCRdCUrRrEzJiYmBoqu0BCppzXWwmeetemC2bLmR1e8tOnZCmx/r6NzUqjGjh3L\n008/zaZNm1i1ahVbtmzhj3/8I2PGHJ71kAaTf1W/jyJ5+UmgGW/FaGwTJ+E674LBFmvQGVlcwkm/\nfIl1RxdQvC6P8o+3U7iuf4LBBQLB0KOsrIxFixZx/PHHp+slzpgxA59vH1nyhgCmaZJIWpNSS4It\njUHeL2/HtFmh0La4F1MOYFNCaIZKSyjBrpYImRvXkqnS3cpMNwzkhi1oH39KNKGydEcLCVXv1uVs\nT7Dr4jOFoitE1Aj2cD0O/559W5VMa4Gn11vuPbppYJC9kOptQe6qW4lumLSEZHzxlMsgvRoVFF2x\nFnSGifzh++nPtepKzHjHolQfdiSmbmC6uqa7thkahbEOi5DWy4I/eyxSUsGzlGSvnFSotIQV99Ke\nvTOfqVCl44wMnb3hPWzxr88aaGaGwwK5HWe0CRNwataiUt3U4S6ZmWrcME2iStfNyerwXrxyO4Zp\npJ8Y0wRJt+a5p6QSAM6mtdgD1Ti9YYo21lm+Zj1hmtmuikZ2Brfh4b2URGuyLqlTfFSFO1tqsxoF\nwGFY3xlVNywXMMDIsG5pIUvJjOqxTlebuPY2UugLIqu9b9x6InU0a1aGP7/cveugYcJofxkFiWY0\nQ2Nbc/b3QtLimKZJMNG78pb+5ho6Usx6dpyNa7EnrYBd+k1aJhVDxh9TCWW0r+kGw5pCFPijyK0B\nMDt/13opaSAnkrGYHcQUHc0waU8q38Wt1nPXGrfm2xaPWfVr1ShSN8ofpKxhJrZQA/ZQHQ2RRrY3\n+9Lfg9S/Ud3a1Nnl2Utb3JfOXhhXrD6L4/Xkpb5b0sDlMsspKcU999zT47EHHnigz4T5vGOaJi9W\nvMgIxcUXaiUaG3wU3X5TVzeJzylTx4wleP9f2XDP9Zy5DmptzzN+3BdQjrpksEUTCASDjMvlwuPx\nMGrUqPRnfr9/SFv3VUMG05J/bzh70ZRYuZzivAIYM7nbaxvqKin1bkYb+eV0CorUgiSuaOh2E7st\nOTdJrcsZD6Gt28bwSCPt4y9nbBeB4tjUWPoSwwQ9HEN56zkoGsee5E7/acnT7YFKYuvAMekImE6X\nNVpWjkAJgkYcyK4HJeuJTp90bNdLWiKd7SuWVAos1zITSYkgqSayZiTd9CxlpineAHGYWlxIQYYE\neuVejEAA1+lfsHpxJGdN6mHfWQI0BRyuruPq5JokkVSIHF2rJu1obYO6Tzk2r0Nxk5QottadmEVW\naRrTNFnnbeLskUdAaxnkdU0igBrHFsh2by1Q2ykJB0Euwtm+Fy1vDGbxhPQK0x9TCEXj1Fb6+OrR\no9K1xvyyP8MiZxLWAsmfk1aq9giGEYTuc15gi7Rgi3vJa5AxAZusYTg6YpEy52Bs4DNG1dtpHG8l\nWmiPyoQiMUa6Der8cQroSlCPI5klmEBYVtnqCTFtWofSlplRW0JiU0OQXd4IU8eC0R6EVIHr1F1K\nBHDveQvlyBmYLqsGU1GrD7uqYZ7R+2p8S7yeCc7hPR43zY7kH4WJNla2fESL3PWZagkreL1xonk6\nha7sNV9nlz9p71rs4Rr0Ey9D0mJISgjolDwDkHdZlt+wGspym7QG3yFDvS9GcXFhMkVIJ/mxkqW4\nsZSmApc9XWagt9pPrqgCLvDK7RxR0FHvzBFrxS67YOSpXa7Z6i/DllHuYGtrA4GWnYwrPotRRe60\nG2+bUo3Dl4fStoeAq4QjxowCw8C17R0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z+K8HHtryELZtcfPIbpKb2/CcfwFimVJVg9l5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\nGsomiFGbApM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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_10, varnames=['alpha', 'beta']);" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
alpha2.3600680.8088690.0158641.0467014.0042863048.9057731.001841
beta14.0573334.8071570.0932376.20492023.8923763222.6644241.001573
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff \\\n", "alpha 2.360068 0.808869 0.015864 1.046701 4.004286 3048.905773 \n", "beta 14.057333 4.807157 0.093237 6.204920 23.892376 3222.664424 \n", "\n", " Rhat \n", "alpha 1.001841 \n", "beta 1.001573 " ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_10, varnames=['alpha', 'beta'])" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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EL700iubN7wRuvN+JlFQFbqTCw1+ibt16N1xn/PgxDBo0lHvuacu3337Na6+9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\njXvvvde4fPmykZ6ebgwaNMj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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_10, varnames=['alpha', 'beta']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Better, don't you think? And they are closer to the value $(\\alpha, \\beta) = (2.4, 14.0)$ showed in the book." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next plots are a contour plot and a scatter plot." ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "image/png": 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cNuiq6k3cFi899z22dta89vatQMdfhKpVDSz4ZhvpWWWEBnowZWwCI5KisL0K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\nbD/CsO5+PDImitorFO64SHZFFU+t2YKLlQVLxo+mpVGLTq5v92e+oK7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1YOPqJAYNDblh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p/6lnaR+zULTe52k6UcMaaEyVpMleldpLjhKpvu8PMqTRl4ykNtihWVGEsIULRsIOTrmuZsywAo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\nZYiTW4PHFwSBw7fi+er8ZZQqgfl9ezLZz0djz4sgCBwJj2PDoUtYGBnw7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d4d2XdjJvZTLf237XFTsWTdS/n1ySJPHR+yf5/OOzBATJeeJHq4mNt57pUs1Bo9XR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\nw1NdNKvi7e3Nq6++yksvvcRtt92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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "begi = 4_000\n", "\n", "alpha_trunc = trace_10['beta'][begi: begi + 1000]\n", "beta_trunc = trace_10['alpha'][begi: begi + 1000]\n", "\n", "fig, ax = plt.subplots(figsize=(8, 7))\n", "sns.kdeplot(np.log(alpha_trunc / beta_trunc), np.log(alpha_trunc + beta_trunc),\n", " cmap=plt.cm.viridis, n_levels=11, ax=ax)\n", "ax.set_xlim(1.5, 2.1)\n", "ax.set_ylim(1.7, 3.75)\n", "ax.set_xlabel('log(alpha / beta)')\n", "ax.set_ylabel('log(alpha + beta)');" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "image/png": 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8Ouha9wkn4KoHt+PoEwCgggDK95GWzPBIpRB0u66MkrYs+kTV4FbZJ+CEj5QKncEAaRwj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rFBeh5eGB3Lhj4W1ZsD8P3F5jWAz338PtQiqYlvE7z4B374wN+TxnomsrS9vc1DDz3E3t4eS0tL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\nu07Y9adUdCK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2WtttjBs3Dm+//Xa/W9fzxBNPIBQK4f777y+0KQRB9ANoZokgSoh58+Zh\n586dAICdO3dizJgxxqLvO+64Axs3bjSeVzRQ6ejowCuvvIKFCxcW2hSCIPoJlCwRRAnR0NCAZ599\nFrW1tXjppZewevVq47OJEyeiurraeB7SQOXhhx/GkiVL+t1sGUEQhYNuwxEEQRAEQVhAM0sEQRAE\nQRAWULJEEARBEARhASVLBEEQBEEQFlCyRBAEQRAEYQElSwRBEARBEBZQskQQBEEQBGHB/weZf6G/\nhLq4uQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.jointplot(np.log(alpha_trunc / beta_trunc), np.log(alpha_trunc + beta_trunc),\n", " alpha=0.8, color='C5', kind='hex', height=8)\n", "g.set_axis_labels('log(alpha / beta)', 'log(alpha + beta)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we draw 1000 samples for `theta` from the posterior distribution." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [], "source": [ "post_theta = pm.sample_ppc(trace_10, samples=1000, model=model_10, vars=[theta], progressbar=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Posterior medians and 95% highest posterior density of rat tumor rates, $\\theta_j$ (plotted vs. observed tumor rates $y_j / n_j$)." ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "image/png": 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2CA4OxsyZM1Vt2dnZWLduHTp37qy24oiIiEj7KZVKnDt3BgEBfjh79jSkUinG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\nAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "median_theta = []\n", "\n", "for i in range(post_theta['theta'].shape[1]):\n", " median_theta.append(np.median(post_theta['theta'][:, i]))\n", "\n", "error_up = []\n", "error_down = []\n", "\n", "for i in range(post_theta['theta'].shape[1]):\n", " a, b = pm.hpd(post_theta['theta'][:, i], alpha=0.05)\n", " error_up.append(b)\n", " error_down.append(a)\n", " \n", "plt.figure(figsize=(10,8))\n", "plt.errorbar(rat_tumor[:, 0] / rat_tumor[:, 1], median_theta, fmt='o',\n", " yerr=[error_down, error_up], ecolor='C5', markerfacecolor='k', mec='k',\n", " errorevery=1)\n", "plt.plot(np.linspace(0, .4, 10), np.linspace(0, .4, 10),\n", " color='k')\n", "plt.xlabel('Observed rate, y(i) / N(i)', fontsize=14)\n", "plt.ylabel('95% hightest posterior density for each theta', fontsize=14);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: parallel experiments in eight schools" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Data of the eight schools model." ] }, { "cell_type": "code", "execution_count": 188, "metadata": {}, "outputs": [], "source": [ "yy = np.array([28., 8., -3., 7., -1., 1., 18., 12.])\n", "sigma = np.array([15., 10., 16., 11., 9., 11., 10., 18.])" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_2:\n", " mu = pm.Uniform('mu', lower=0, upper=30)\n", " tau = pm.Uniform('tau', lower=0, upper=30)\n", " theta = pm.Normal('theta', mu=mu, sd=tau, shape=yy.shape[0])\n", " obs = pm.Normal('obs', mu=theta, sd=sigma, observed=yy)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster8\n", "\n", "8\n", "\n", "\n", "\n", "mu\n", "\n", "mu ~ Uniform\n", "\n", "\n", "\n", "theta\n", "\n", "theta ~ Normal\n", "\n", "\n", "\n", "mu->theta\n", "\n", "\n", "\n", "\n", "\n", "tau\n", "\n", "tau ~ Uniform\n", "\n", "\n", "\n", "tau->theta\n", "\n", "\n", "\n", "\n", "\n", "obs\n", "\n", "obs ~ Normal\n", "\n", "\n", "\n", "theta->obs\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(model_2)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [theta, tau, mu]\n", "Sampling 4 chains: 100%|██████████| 180000/180000 [16:11<00:00, 185.24draws/s]\n", "There were 99 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.9589009742029759, but should be close to 0.99. Try to increase the number of tuning steps.\n", "There were 129 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 15 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 45 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with model_2:\n", " trace_2 = pm.sample(draws=15_000, tune=30_000, nuts_kwargs={'target_accept':0.99})" ] }, { "cell_type": "code", "execution_count": 164, "metadata": {}, "outputs": [ { "data": { "image/png": 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HpnUFg6rMUEot25cv2V8Yvz3yGtWYLG448JXuhjOpHKVly5ZRU1NDKBTioYce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\nE84WFyVM8rUW1AxjlU5Htji/2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Fu62ePfwaKmhUR27MbvysizJVxHQlVlBAE0beB8VE1B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\ncvufZWR1uX2uZU/CQhOyvx8iuoWWZ0hWE15NzInn9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2w1Ly5U7mlnb2XDWHdTFOIIGlyG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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_2, varnames=['mu', 'tau']);" ] }, { "cell_type": "code", "execution_count": 165, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdmc_errorhpd_2.5hpd_97.5n_effRhat
theta__011.6834078.0726280.079508-2.36417029.2026589540.0869881.000255
theta__18.2414186.0729920.042111-3.84468920.50813218621.8379481.000002
theta__26.6440037.3529640.058526-9.29352120.75035918105.5252601.000052
theta__38.0345196.3117850.043290-4.54323920.89876918477.5601430.999985
theta__45.5350426.0872160.064419-7.26168416.90828211157.5493311.000168
theta__56.5885376.4312700.052744-7.06840218.97300016525.2021101.000116
theta__610.9321586.5765830.060985-0.67937425.05858210407.7968981.000057
theta__78.8625797.5195710.048141-5.56259825.36940219120.2248091.000053
mu8.5342404.5308750.0419870.00095116.4936879770.4915361.000061
tau6.3150654.9844690.0928270.15102616.1714473002.2604391.001085
\n", "
" ], "text/plain": [ " mean sd mc_error hpd_2.5 hpd_97.5 n_eff \\\n", "theta__0 11.683407 8.072628 0.079508 -2.364170 29.202658 9540.086988 \n", "theta__1 8.241418 6.072992 0.042111 -3.844689 20.508132 18621.837948 \n", "theta__2 6.644003 7.352964 0.058526 -9.293521 20.750359 18105.525260 \n", "theta__3 8.034519 6.311785 0.043290 -4.543239 20.898769 18477.560143 \n", "theta__4 5.535042 6.087216 0.064419 -7.261684 16.908282 11157.549331 \n", "theta__5 6.588537 6.431270 0.052744 -7.068402 18.973000 16525.202110 \n", "theta__6 10.932158 6.576583 0.060985 -0.679374 25.058582 10407.796898 \n", "theta__7 8.862579 7.519571 0.048141 -5.562598 25.369402 19120.224809 \n", "mu 8.534240 4.530875 0.041987 0.000951 16.493687 9770.491536 \n", "tau 6.315065 4.984469 0.092827 0.151026 16.171447 3002.260439 \n", "\n", " Rhat \n", "theta__0 1.000255 \n", "theta__1 1.000002 \n", "theta__2 1.000052 \n", "theta__3 0.999985 \n", "theta__4 1.000168 \n", "theta__5 1.000116 \n", "theta__6 1.000057 \n", "theta__7 1.000053 \n", "mu 1.000061 \n", "tau 1.001085 " ] }, "execution_count": 165, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.summary(trace_2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The posterior plot of `tau`" ] }, { "cell_type": "code", "execution_count": 166, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_2, varnames=['tau']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We draw 1000 samples of `tau` and `theta` from the posterior distribution." ] }, { "cell_type": "code", "execution_count": 167, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 1000/1000 [00:00<00:00, 12923.44it/s]\n" ] } ], "source": [ "with model_2:\n", " post_trace_sample = pm.sample_ppc(trace_2, samples=1_000, vars=[tau, theta])" ] }, { "cell_type": "code", "execution_count": 168, "metadata": { "scrolled": true }, "outputs": [], "source": [ "def partition_mean(ll, part):\n", " \"\"\"\n", " It takes two arguments, a list of pairs of points, (x, y), and the \n", " length of the partition. It returns two lists, the first is a \n", " list of means for each partiton on x and the second is a list of means\n", " for each partition on y.\n", " \n", " Returns:\n", " mean_x::list\n", " mean of each partition on x\n", " mean_obs::list\n", " mean of each partition on y\n", " \"\"\"\n", " mean_x = []\n", " mean_obs = []\n", "\n", " for i in range(0, len(ll), part):\n", " ll_temp = ll[i: i + part]\n", " x_temp = []\n", " y_temp = []\n", " for j in range(len(ll_temp)):\n", " x_temp.append(ll_temp[j][0])\n", " y_temp.append(ll_temp[j][1])\n", " mean_x.append(np.mean(x_temp))\n", " mean_obs.append(np.mean(y_temp))\n", " \n", " return mean_x, mean_obs\n", "\n", "def partition_std(ll, part):\n", " \"\"\"\n", " It takes two arguments, a list of pairs of points, (x, y), and the \n", " length of the partition. It returns two lists, the first is a \n", " list of means for each partiton on x and the second is a list of \n", " standard deviation for each partition on y.\n", " \n", " Returns:\n", " mean_x::list\n", " mean of each partition on x\n", " mean_obs::list\n", " standard deviation of each partition on y\n", " \"\"\"\n", " mean_x = []\n", " mean_obs = []\n", "\n", " for i in range(0, len(ll), part):\n", " ll_temp = ll[i: i + part]\n", " x_temp = []\n", " y_temp = []\n", " for j in range(len(ll_temp)):\n", " x_temp.append(ll_temp[j][0])\n", " y_temp.append(ll_temp[j][1])\n", " mean_x.append(np.mean(x_temp))\n", " mean_obs.append(np.std(y_temp, ddof=1))\n", " \n", " return mean_x, mean_obs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot is for the conditional posterior means of treatment effects, $E(\\theta_j \\mid \\tau, y)$, as functions of the between-school standard deviation $\\tau$, for the educational testing example." ] }, { "cell_type": "code", "execution_count": 169, "metadata": {}, "outputs": [ { "data": { "image/png": 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XWbGzvLFDK9L4nFicnhWHrMhQZAVxK9LxCCEg76l3B4dqG6Q4HTQX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\nvEAe+GC2eWCMoauxH/XHrLBe7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XngA/IQf8gBH5AHPpiNHuw+Gw617sc+y150eNqhlWux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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(13, 7))\n", "\n", "for i, z in zip(range(post_trace_sample['theta'].shape[1]), \n", " ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H']):\n", " tau_post = post_trace_sample['tau']\n", " obs_post = post_trace_sample['theta'][:, i]\n", "\n", " # It is necessary to sort the list of pairs of points\n", " ll = sorted(list(zip(tau_post, obs_post)))\n", " x, y = partition_mean(ll, 100)\n", " plt.plot(x, y, label=z)\n", "\n", "plt.xlabel('tau', fontsize=14)\n", "plt.ylabel('Estimated treatment effects', fontsize=14)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot is for the conditional posterior standard deviations of treatment effects, $\\textrm{sd}\\,(\\theta_j \\mid \\tau, y)$, as functions of the between-school standard deviation $\\tau$, for the educational testing example." ] }, { "cell_type": "code", "execution_count": 170, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZPdnNqH9k1vFGnTF0h99kZ6WlDHu4pGeokVeiPklKei4y05PjdDTuod2zm84m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hiYGMLAxBAiTfUrqyn7fGRsW8+BVUuwl5UQGt+eyXc+iWETSCH+6CcmtbmkwFbmYuv8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\n3bpVvrw4TaZOncovfvELAgMDsVgs3Hvvvaxfv75LOTkezo6srCxmzpyJ0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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(13, 7))\n", "\n", "for i, z in zip(range(post_trace_sample['theta'].shape[1]), \n", " ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H']):\n", " tau_post = post_trace_sample['tau']\n", " obs_post = post_trace_sample['theta'][:, i]\n", "\n", " # It is necessary to sort the list of pairs of points\n", " ll = sorted(list(zip(tau_post, obs_post)))\n", " x, y = partition_std(ll, 100)\n", " plt.plot(x, y, label=z)\n", "\n", "plt.xlabel('tau', fontsize=14)\n", "plt.ylabel('Posterior standard deviations', fontsize=14)\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We draw 200 samples of `obs`." ] }, { "cell_type": "code", "execution_count": 177, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:00<00:00, 3248.50it/s]\n" ] } ], "source": [ "with model_2:\n", " post_obs = pm.sample_ppc(trace_2, samples=200, vars=[obs])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reproducing the Table 5.3" ] }, { "cell_type": "code", "execution_count": 178, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "School Posterior quantiles \n", " 2.5% 25% median 75% 97.5% \n", "----------------------------------------------------------------------\n", " A -18 -1 8 18 43 \n", " B -15 2 8 15 29 \n", " C -33 -4 6 19 43 \n", " D -18 -1 6 15 31 \n", " E -15 -1 5 12 23 \n", " F -21 -4 6 14 30 \n", " G -11 2 9 18 37 \n", " H -23 -3 8 19 42 \n" ] } ], "source": [ "print('{:^1} {:^50}'.format('School', 'Posterior quantiles'))\n", "print('{:^7} {:^10} {:^10} {:^10} {:^10} {:^10}'.format(' ', '2.5%', '25%', 'median', '75%', '97.5%'))\n", "print('-' * 70)\n", "\n", "for i, z in zip(range(post_obs['obs'].shape[1]),\n", " ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H']):\n", " \n", " a1 = np.percentile(post_obs['obs'][:, i], 2.5)\n", " a2 = np.percentile(post_obs['obs'][:, i], 25)\n", " a3 = np.percentile(post_obs['obs'][:, i], 50)\n", " a4 = np.percentile(post_obs['obs'][:, i], 75)\n", " a5 = np.percentile(post_obs['obs'][:, i], 97.5)\n", " print('{:^7} {:^10.0f} {:^10.0f} {:^10.0f} {:^10.0f} {:^10.0f}'.format(z, a1, a2, a3, a4, a5))" ] }, { "cell_type": "code", "execution_count": 179, "metadata": {}, "outputs": [ { "data": { "image/png": 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ABQAAYIhABQAAYIhABQAAYIhABQAAYIhABQAAYIhABQAAYCjY1wMAAF8pdbkUGRnusfZc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\nuTfMV0dZWZnmzJm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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "_, _, _ = plt.hist(post_trace_sample['theta'][:, 0], color='C5', bins=25, edgecolor='w')\n", "plt.xlabel('Effect in school A', fontsize=14);" ] }, { "cell_type": "code", "execution_count": 180, "metadata": {}, "outputs": [], "source": [ "max_theta = []\n", "\n", "for i in range(200):\n", " with model_2:\n", " post_theta = pm.sample_ppc(trace_2, samples=200, vars=[theta], progressbar=False)\n", " max_theta.append(np.max(post_theta['theta'][:, :]))" ] }, { "cell_type": "code", "execution_count": 181, "metadata": {}, "outputs": [ { "data": { "image/png": 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jMMJpjc/2++j34bndu3dr+vTpOnr0qCTptdde0yWXXNLiIwgAAADaCr9faRoyZIhyc3N1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\n3gAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "_, _, _ = plt.hist(max_theta, color='C5', bins=25, edgecolor='w')\n", "plt.xlabel('Largest effect', fontsize=14);" ] }, { "cell_type": "code", "execution_count": 287, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 287, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.mean(np.array(max_theta) >= 28.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ok, so the results are not quite good, I mean, there are a lot of discrepancies and the differences are notorious when you compare the two histograms previously showed with the Figure 5.8 (even more if you compare it with Table 5.3). Yes, the question is: Why does this happen? Is the algorithm behind `pymc3` the reason of all this? I would say that priors are really bad and the geometry behind the model is nasty. More info here: https://docs.pymc.io/notebooks/Diagnosing_biased_Inference_with_Divergences.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Changing the prior of `tau_sq` to `inv-gamma(1, 1)`." ] }, { "cell_type": "code", "execution_count": 222, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_3:\n", " mu = pm.Uniform('mu', lower=0, upper=30)\n", " tau_sq = pm.InverseGamma('tau_sq', 1, 1)\n", " theta = pm.Normal('theta', mu=mu, sd=tau_sq, shape=yy.shape[0])\n", " obs = pm.Normal('obs', mu=theta, sd=sigma, observed=yy)" ] }, { "cell_type": "code", "execution_count": 223, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "mu_interval__ -1.39\n", "tau_sq_log__ -1.31\n", "theta -1.81\n", "obs -31.29\n", "Name: Log-probability of test_point, dtype: float64" ] }, "execution_count": 223, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_3.check_test_point()" ] }, { "cell_type": "code", "execution_count": 227, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [theta, tau_sq, mu]\n", "Sampling 4 chains: 100%|██████████| 80000/80000 [01:36<00:00, 828.29draws/s] \n", "There were 342 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 632 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.6556958887998723, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 304 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.7055707909541307, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 1070 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.5612203902993772, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] } ], "source": [ "with model_3:\n", " trace_3 = pm.sample(draws=5_000, tune=15_000)" ] }, { "cell_type": "code", "execution_count": 228, "metadata": {}, "outputs": [ { "data": { "image/png": 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uHfPnz2f+/Pk88cQTIfOlLBYLHo+n2j4REWYMhqNrnOv1OmJiqq+rF1bRQ1HT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hQa+hieq4I0N7i5JYV6qx5Tx9BEcXIuhUAKvVhPaiQxEWa7LIkUZAIeGBiir74WQbkqmmBDpgdZ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\n61u1bddccw3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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_3, varnames=['mu', 'tau_sq']);" ] }, { "cell_type": "code", "execution_count": 230, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_3, varnames=['tau_sq']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although this plot is similar to the Figure 5.9, they are not the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Changing the prior of `tau_sq` to `inv-gamma(0.001, 0.001)`." ] }, { "cell_type": "code", "execution_count": 234, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_4:\n", " mu = pm.Uniform('mu', lower=0, upper=30)\n", " tau_sq = pm.InverseGamma('tau_sq', 0.001, 0.001)\n", "# tau = pm.Deterministic('tau', pm.math.sqrt(tau_sq))\n", " theta = pm.Normal('theta', mu=mu, sd=tau_sq, shape=yy.shape[0])\n", " obs = pm.Normal('obs', mu=theta, sd=sigma, observed=yy)" ] }, { "cell_type": "code", "execution_count": 284, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 4 jobs)\n", "NUTS: [theta, tau_sq, mu]\n", "Sampling 2 chains: 100%|██████████| 40000/40000 [00:56<00:00, 704.66draws/s]\n", "There were 90 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.7026484528842684, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 67 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with model_4:\n", " trace_4 = pm.sample(draws=5_000, tune=15_000, chains=2)" ] }, { "cell_type": "code", "execution_count": 285, "metadata": {}, "outputs": [ { "data": { "image/png": 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8t6eR3314kG8//zm3zxrL108eiWPeE2RJ/4tl46+iitNpt2VaXIFAkACVSoXH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+eddx733HNPXrkvfvGL3HzzzWzcuJEbbriBO+64A4BAIMD06dPZsGFD+s8QmErTeOX36JNqaXr5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\nDCRJX91Vk9gOPJ8u55+9nl29YRY3edL+V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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_4, varnames=['mu', 'tau_sq']);" ] }, { "cell_type": "code", "execution_count": 286, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_4, varnames=['tau_sq']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, although this plot is similar to the Figure 5.9, they are not the same." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Changing the prior of `tau_sq` to half-Cauchy. This time, the data are the first three schools." ] }, { "cell_type": "code", "execution_count": 256, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_5:\n", " mu = pm.Uniform('mu', lower=0, upper=30)\n", " tau_sq = pm.HalfCauchy('tau_sq', 25)\n", " theta = pm.Normal('theta', mu=mu, sd=tau_sq, shape=yy[:3].shape[0])\n", " obs = pm.Normal('obs', mu=theta, sd=sigma[:3], observed=yy[:3])" ] }, { "cell_type": "code", "execution_count": 257, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [theta, tau_sq, mu]\n", "Sampling 4 chains: 100%|██████████| 60000/60000 [00:42<00:00, 1420.26draws/s]\n", "There were 315 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.7102855150758897, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 168 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 151 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 199 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with model_5:\n", " trace_5 = pm.sample(draws=5000, tune=10_000)" ] }, { "cell_type": "code", "execution_count": 258, "metadata": {}, "outputs": [ { "data": { "image/png": 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1RqVDJTms+OOOAEnD5vp3zX49qaPa6rnmtGX8cUeAQKzyQpASieTwwO/3MzlZ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\nc2WwHTz4FafqWHl8Kj6vB2dK1TYFrz/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QNGzrLsS27sJsqOGm50lufIq2d9+hbYeB+ufv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\nAXPmzGHr1q0AFBcXk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Jl6/L1Wh2p8WA064i2GWIfSrrRwOPpfT22MI+kafMH27UU+Wiii\ntdt9jqe7ZiVUGRkZVFdX89FHH+FyubjssssoKSkhNTW1o+Pr0VRFIfWq2wn+5nq2rPie/qPsWL94\nAlfhM7EOTQghepRf/vKXXHDBBfz2t79l7Nix7VZgyev1YjQaG/42m814vV4gOtfVkWXZj3yunt1u\nQq/XtSkGnU7F6bSedBlblQkNDafTSq21Maa4U7zuaPYKL17AEW/BGdd0+KOr7n3tdjMerW4Zh/k4\n79JyblM0cbCfJF7doSBWmwnNrocWbtepWG3Rfex0WrH7zAR9JuLjrTjNLV9PKBxBrzvx8WerMoHX\niNVsQnNYwHHsOj7ZVwXAj4ZFE8dwRENVIE4zU+5ScDjMOOMbXxeurEQxm1Et7VOe3G0yQDiCPd4M\npta39ZHtChBWQ3isJlSbCVsb9+GpPhc6XxCrzYjNbDhmuYZjOc6M1R8iLs58ys9Yezu6bdrieG3h\n8oX4ZHspI7OcZCa0fB3hiMaqraWMyIonJe7kn/NgJEgwHMRqaP56FFt0H1icVuwBMx7VFD2nWFvf\nHs05V7ZWsxKqjz/+mAULFjB69Gi+++47LrvsMv74xz+SnZ3Ntdde2yGBnS4mjzqLpaNzmbl2D1sn\nXsjgXX/HU7GdcOKAWIcmhBA9xieffILSAXehWyyWhiIUEE2wrHVf+BaLBb/ff9zn6rndftrK6bRS\nVeU56TK1Hj8aGlVVHoKexnWGT/G6o7ndfjy1AWqqvRjDTX8999e9r9vta1jG3E73aYX90QIioZPE\nmxCJ4Kn1E6zxElFatl2n4qmN7uOqKg+1bj+1AT/V1R5UX8sSxkAowoc7yshLttGv1/ErLtZ6/Oh9\nQTzhum2JHLstR8YDsHJLKb3jzdjsPiIRjZoaH1Va4+v8qz4CwDS1oEXxnkjIH0QJBwlXe9GMrf9B\n4OjtiLi8BD1+FNVIsIXH5tFO9blw+0N4agMoofAxyx19LLtcPqqMnVvl+ui2aYvjtcWhmui27TpY\njb0Zp0ZvyIOiqJh10WPe5QtRWe3lc3+Q8bmJJ33tutI11IbcTEm/sNkxm2qj+8Bf5cHt9lHri37m\nTIHWt0dzzpUnk5wcd8LnmnV0PPTQQ7z++us89dRTWOp+3bjrrrv45z//2eqgRKMzrr6bGgvsXL4V\n9BasXzwR65CEEKJH6YhkCqBv374NQ/wAdu7cSV5e3imfE63T1YoVtJQ/FE0wi2vankgf7VB1Dyoc\n1sXKxct9c7Cm9FM+K/m4Va+tDbnbOZqup1kJlaZpZGVlAY1fShaLBa2LHfDd1ZgB+aw6ZxD991Tx\njXIepp3/RFe5K9ZhCSGEOIVp06Y1VPcLhUIsW7aMGTNmNDy3bNkywuEwpaWlrFy5kunTp8c44nYS\no5rTwc/Xd/g6tEjkhNc3vrCPykBFh8fQ5UnN8VZx+0N89UMVEbl+BiCiRfiy7HOqA1XNWr4rV9hs\nVkKVm5vLk08+SVlZGRAdF/7CCy+Qk5PTocGdTs675gFK4hXKVu5AU4xYv3wy1iEJIYSoU1ZWRmFh\nIYWF0UkmL7/8cgoLC0lJSWH+/Pn8/Oc/Z/r06eTm5jJ37lwArrjiClJTUyksLOSKK67ghhtuYNCg\nQbHcjE7RkdfaWm3H/9Id+OB9guvXHve55l74tYfiYDWrSj8hrIU7bZ0t1zmJgSdUy5aq7zr9h/z2\nPpS/L3Zx2BWg0tOyOfB6Kk/IQ1Wgki1V3zdr+a7cU9ise6juvfde7r77bs4991w0TWP06NGcd955\n3HfffR0d32ljYO9snp4yltlvrmO9ezRnb/87taNvJOLMjXVoQgjR7QUCAZYsWcL7779POBzmww8/\n5LnnnmPKlCnk5p76PNurV68Tljy/4ooruOKKK4553GAw8OCDD7Y59vbUlS9IuhLNfYo5ryJhjEWr\nULLOR7Mmd0gMOwOHwZJNIOzHou/cgghdzebKb3EFa8iwZuEwOjp9/XGln6MaB/T46pGi9ZrVQ5Wa\nmsqzzz7LV199xccff8zGjRt5+umnSUlJ6ej4TiuXzL+XnWk6wh/uIxzRY/3qT7EOSQgheoSFCxfi\n9Xp58sknG6ry9enTh7vvvjvGkXWO7pRIRbQIGw6vo8LfdYfWKSEvSjiAvnxLh6+rwl+BP9z+91yd\niOIpQ/FVdtr6mq68aw7pMnpLMBzagP7Q57EORXRRzeqhuuuuu0743P33399uwZzuUh0JvDFzGrOf\ne4dPS4YwUfcGntH/RcSRFevQhBCiW/vmm29YtWoVADpdtCrZ1KlTWbJkSSzDEsfhDXlxBWvYVrWF\ncanjW/RafyhCtTdIfHzTxxV/DYq/iogj+/gvPAUlEsTuOwjUfx8rnZaibq3+HrPbzPjU8zplfcYf\nPgXAP+AnnbK+9mQ4sIZwfC4Re+92fd/6kYY61wFCvc9q8lyFJ4BBVYkzn/ySurz22KF+mqZRbQ6v\nHwAAIABJREFU5N5Nti0HndqsS/Iuo31+pOk+P/ScSrN7qI78ZzKZ2LBhA0lJSR0d32nnirm38kU/\nI3Frign6dFi/eirWIQkhRLdnNBob7gOuV1lZ2WHV/0TrtWWXbCtxs/lgzTGPG/d+gKH4q1a/b5Jr\nC0k1W1A85a0ProWOvGD1hbtoBb8uVlxBrS3FcLB5hUuqvNHkptbftnvUPt9bxZo9p+5N/WLfsfff\nHfIeZLdrF7tcUoisu2tWOnzDDTcc81hFRQW33XZbuwd0urMbTfxw8WWMeuwFPirqxwXm1/CMuoGI\nIzPWoQkhRLd11VVX8ZOf/IQpU6ZQWVnJ4sWLef/997nmmmtiHVq30pJfpVtzqR3c8j3hqlLoYjWv\n1Ej04ls5ukBEKxMKW+0+jLvWEug3o62hxYQSar8ET/V5iXhqUa3Hn5frpHF4ylC0EBFbWov3RbU3\n9oUh6otsRJpReMQfilafNBvaNhF447rb9vrOrLjXlav71Wv1LGUJCQlN5tcQ7eeqmb/io6EOen9T\nRWWtAesXMiRFCCHaYvbs2Tz99NPY7XYuuOACrFYrf/zjH7n00ktjHVqHUmt+QK3ZF+swmi1yYD9a\nTbSHqTvd99VSzurNKOHYX9DHmqZFCHzxVypXH7/gy6kYf/gUw4F17RxVo67Ugf3RjjJW7+y8HlKI\nTiEgmqdZPVR33nlnk2ER4XCYHTt2kJ7evGona9euZfHixXg8HtLT0/nd735HWlpak2W2bt3KokWL\nqKysJCEhgUWLFjWUl/3rX//Kiy++SDgcJiMjgwcffJC0tDT+8Y9/cN9995Gc3Fhh55ZbbuGCCy5o\nVlxdlU5VSbjqdkK/vY113/dmmvVveEf+J+EEmRBSCCFaoqSkpOH/U1NTj6nGV1JSQmpqameH1a6+\n3lfJjoPVXDjo2EJRhuIvov9jr6sS19llp2tL0Zd/TzDrPFCa9xtud/g1ut1oWrOu2neX1ZJn9pCT\n2LZqf4q/Gk01gsHS6vdoz9LlQS1AKOLlgOcHutxNJJHmDQWsDpYQp+/VcWFoGmoMMrvQnl2Ed+3E\nOHEyisHQ6evvbpqVUB2d/KiqysiRI5k2bdopX+vxeLj55pt57rnnyM/P5/nnn2fRokU888wzTZa7\n6aabuOWWW5g6dSorVqxgwYIFvP3222zatIknnniCN998k5SUFB555BEeffRRHn/8cVwuFzNmzOiR\n5dsvGD2Zv4zry48+3s323Hhy1j+Gq/CZU79QCCFEg4kTJ6IoygkvAhVFYcuWjq/U1pEO7T2Ibc8e\nGDQ51qEcw1DyNUrICyF/k4v4H6q8JNmMWNpp+FLsdFSCqjR5a7c/zNYS9ykTKsVdDOYwnKBZjXs/\nBNqz4MTJt98f9mPSmVrxtse+r87tRbP7wOjAuOtdIvYOLGEeCaEv+QZrdRpw4lsuKv0VHPBvIyFS\nA7RvIYx6wbCGSd/5CVX44EEAKqtr+fxwgIhNw3hEHEf3INefY1tzX6qCwifFq3EYHAxPGnnC5SJE\nmndMhf2gGju1i7HV91A117p168jKyiI/Px+AOXPmsGTJEtxuN3a7HYBt27bhcrmYOnUqAIWFhdx3\n333s2rWLxMRElixZ0lCiffTo0TzxxBMAuFwu4uLiWh1bVzfhhkcp2Xgp2pd2+jvfQX/mt4SSh8Y6\nLCGE6Da2bt0a6xA6nPX7jQR8QbRIBEVt9Uj+ThOOaHx3yIXZoDIxrwN+2e+kXrhIFxuSaAxWR8u4\n23SQnEup9/+z9+ZhctzVvfenqnqffTSaRbtkWTbyinEE5AVs4oUbAhhsILkvSV6HhGsgQBKIcx8C\n+IJJIDeEkIQ4JlzgZQ0JiwMBgx2wiS1syZJl7ftoNPv0LL13ddf6+90/qqf3nkXSWF768zz2aLpr\nOVVd1XNOnXO+Z5qwL0yb/wLPbVri+U1ZKZ6ee4rtnVcyEGkU/Cz9HLYdPIUYkvDf3ozi2mipkSWv\nu2yEA0BQn4RA44DKKfQ+2cLkdOokPaHVdAW7V86uFaBRADSXn6VLhJhKG4BK1nTo9jXOVFlP7ATL\nJPhr51YlZgmTOXN2wWWOJg4DcNOaWxsvJFyCZ36K27kZp/eac7LlXFhSQHX55ZcvGHFKKRs+5Rse\nHmb9+pLsd0tLC52dnYyOjrJ9+/biMuvWVV6w69evZ2hoiFtuuaXivccff5xrrvFOUDqd5sCBA7z9\n7W8nnU5z44038sEPfrA4Y+T5zqUD6/nn19/EHd/+ObvGevmVXZ8m9cZvPbeKeps0adLkeYBpmnzn\nO99h//79pFIpOjs7uf7667njjjteMH8zngscTRxmIt9DgNpxH2pmAhHqBi0EjoOlLlxGdK49VKsy\nx4CXndO6y2HQnGFH69IFoy5kqVw9NGEiNQmF3qzDiYNArfMZd3QyuSn6IwPgWiBd8C29BFCbO8lS\nOmuytjccOWklFwioPM67zNPJe9fVcliGL1Xvk7NdQbIogy4Z1UcY1UcWdvaXsf2LSdyMMZkfxxS1\nQiGGa7B75gm2tVZlkoz8s2RdLdKyEHOzaGvWgvSCYTUzAb3XoM0dQ8tOYm26eUVtWFJA9eEPf5jR\n0VFuu+02Vq1aRSwW43vf+x6bN2/m9a9//YLr5vN5gsHK1FwwGCSXyy1rGYAf/OAH7Ny5k3/7t38D\nvECvq6uL3/3d38U0Td7znvfwxS9+8bwyas813vHOe9i965dse8Yg1/8EgZFHsTbddLHNatKkSZPn\nFXfffTeJRIKbbrqJjo4OUqkUDz74IHv27Hnez6J69iYiLY5EMmOMsc5XG1D5p/YifUFyva+m65kn\nyG++FC5bXWcrC+MMnkJbvwElWN+BVp6lDJVRcNzKkVKCEChaZc2dG53COXIIed0rFt+wxAt0lklP\n6jB0A1al75Q0E5SHS/vyI9jJw3QHu2k781OgVAKoWNnicUjHQfHVuom++HGKchrPEdl0f/QZ7LW/\n+qzu85mxFOOZWon+eYQUPD23h63t2+heyayVkwfVDxdwjpVb6B9z6lzjs/kZXOkSzU8AjftPvUBm\n6oL4rDPGdMXv84mceezDB5GJOEoohDT0imV98VPnvf+lsKSz//3vf5//+I//KP6+du1arr76at70\npjfxe7/3ewuuG4lEMM3KCd+GYdDS0rKsZb71rW/x1a9+la997WtFEYrbbrut+H4oFOLOO+98wQVU\nraEQqd/+EwKf+jQ7T/bz60/ci7X+NaA1GwSbNGnSZKkcOXKERx99tOK13/md3ymWmr9YuCDur5S0\nTO1GGbgc2VIrhMEC2QbFMZG65/D4E3UUy+w8vsQpEFeBVt9ad/gsIp0mcN31Szb5aDTD6tYgHYsv\numxG4jmG4zlu2NqDc/I4YnyMwE23Fh0+IQUjQ3voE37IZoGF/36rmXEUWwelcjnVNQkM/RR7bf1h\nx5qwC5meyvzRvtheXlVn+ePJY+yofrEgh26PRLHGHiHw2ptrgsPlXkTzV4M0DKRwK+TRazblGgUb\nlimhLt2KrdnCJqpHCXGByx3LyJilYKPeKTHccx9QPY+mZ3CPT8NVjds9gkMPI4Id2Btfe077WJTC\ndTyezNPdsnTf89kKZAAwTSzXIr37Udp9EeTGZz/QX1KxdSaTqZFIHx0dJZPJLLruli1bOHv2bPH3\neDxOKpVi48aNFcsMDw8jCvKMjuMwPDzMJZdcAsADDzzAt771Lb75zW9WlA+OjY1V2CClxFfnacrz\nndtvfTOPXLeZrcckB4ejhI98/WKb1KRJkybPK9atW0c6Xfk0OZ/Ps2HDhotk0cXhaOJwsQ/hXJgy\nzmK7GbT8DP6pPRfEJkdIXOE5QGp2Euw8qrmIf7FMOWfXlURTKzAcV0pOTGcxbM8eMT5efH2eaH6K\nGWOa6Xy0/iZyOYSeLf6umqmyN0v/jJgzKI6Jlmw8BHY5ZZJu1ewjVZ9GEV5mzJ0r2ODWUbpbYlaq\n2hbrl49hP/nLBdcJDj+Cb/bIkra/EEcThzkwu5+8s7QytKGYvvhCdVmoHWbhNd3oFMrJ0wsu03bi\nEGJyAmktnLGsuGaWyHN6LMEyMrRqegyEzen0SUb14ZWzaRGWFH28973v5fbbb2fz5s20tbWRzWYZ\nGhri7rvvXnTdl7/85USjUZ5++mmuv/56vvGNb/Da176WSKSkVLN161ZWr17Nj3/8Y970pjfxgx/8\ngHXr1rF582amp6f527/9W77zne/USNv+0z/9E36/n0984hNYlsW3v/1tbrzxxuWdgecBiqJw9R/9\nDdH3vQ31qU7o+VuUy25HhroutmlNmjRp8rxg+/btvOUtbymW/CUSCXbu3MkrX/nKCtXZd7/73RfR\nynNkGX7RnDlL5zk6UrqtM22M4Fh+WEBkS5Eu/fHdqL0NSrCqelceOTlLOKDxmks84WwFhfZ9p7F+\npXOBndQ6slJKDGkTUi5iBYei1HjSC/dOSawndwIQvPl1K2dWZhIZXqDszLXxT+xamX2XBR3JnE3Y\nsGkPVX5Gpi0YT+bZfIH2mXfyKJqXHSznVOoEvaE+OoOV/tPZWI4tq+plxRbusyqVnXmf8WzGwnQE\nQd/i+QrnyCEUIw79SxCMX6DfyxQOj+unuDz/SnrDz+YIiPPoe3MM8IUaBnXKIgGiRHrXlZ3HH92H\nHZ++6AHikgKqt73tbdx6660cOnSIVCpFW1sbV111Fd3di9eEhkIhPve5z3HvvfcWnwb+1V/9FdPT\n0/z+7/8+P/7xjwH4m7/5Gz72sY/xj//4j6xatYrPfOYzgNc3pes673znO0tG+3z8+Mc/5n/+z//J\nxz72MV73utehKAo33HBDxXIvJK7atJ773vBb/Oa3/oVfHAtw865PkX3tZy62WU2aNGnyvCCVSrFj\nxw4ymUyxsuG6667DNE1GRlZQLexZRrEy+Cd2eaXhvmU26S8RKQXStHDN+oNpfU6GkKUQSpxYpA6m\n5ADlLS8TMt8PptgO/skZluNhD+oTHHaHuUrb6D3R17TacrXzREuP4k8cwum+bHkryuL/zhtp23Tt\nfZzMZVcDdUouywI4xbRQHActO4nMzcKWbQ22KjAdQcqwaQ/5GInn6O52WVyupfEx1ZPRHknkSZxN\n8LqXVNo9lTaITWUuWEDViDF9lDF99JyEIwBShk0ibTDQXnlvSSR5y2UqbXB4Ms31A0G0uKcwWh4L\naXoGXzaNu66DnLW0OVeLoQsTKeFY7Cy961Y+oDqfwEXMzcHsIGEtirXhRtDOU5W0EDArouq76CLE\nVkuuj5udneXw4cNks1n+7M/+jOPHj9PV1bUkvfmXv/zlFT1Y88wHUwCXXXYZ3/nOd2qWueuuu7jr\nrrvqbrezs5PPf/7zSz2E5z2/e+f7eHjfz3n1/hmOrPshl172Vuw1L7/YZjVp0qTJc55Pf/rTF9uE\nFcVvZwie+gGyfQ2KnUPVo4iOTbULXiARAefwGUy/H1/dNiZJ7dPrc9nv8p6AxwuqchYu1uO/QOns\nInD9DqRpEjh0CntLSZFPmgYym0VdtTzZdiUf934Kd/mOpWuBsAjYOmp0Djd8bs6kyOggJaGpMWAb\nrusykT9OjzQouvmFz7nj6eNl5ZHeT9sVxHSbropoSWE4nsO0BWahfDGVd+p3IJ1jyV+jpS4E01aS\noK0vlDitIZwdQXU7EMuYkzUSyzPsT9cEVFA6EkcIL2uSnUAJB8BXyny1H30GgEMD62if1VnTLSvW\nlqaJdGzUltbSdpdwvmM5m9mZDDt6XSKBC/QQQUoydhq/dFksXAie+gFObAx3VW3A/vDxGSbdPBu6\nw5jPPI01N0j4+nUoVgbCXldjbSyx8L2ftBKEtQjnPp76wrOku/mBBx7gXe96F8lkkoceegjwMkef\n+tSnVtS4JpW0hXxE/uB/kwmrxJ7qxHr0z7zhZU2aNGnSZEEee+wxfvu3f5tbb72Vm266qeK/FwIR\nawYAxUguaz0pJW50qqHTZp84hjNYp89jCU7e/BLm6TGsZ/aV3liyXPV5ONtSop7eiapPk531xC+0\nudK5sfY8hb1/X2FRbz/TGRPHXV5vVs5ukGUoOz9zWRPTlWjJM4Qnfsma2G7UaAzz2Nn6685vYok2\nGE/vpmvvYwyKqeJraq7xPJ+plMlEMg9SknvqKPaYd+2I6lLFws9smfjCnpEEk9W9aK6Jmh5dwMLG\nn3fYiOJz9Npllhn4H84Ns3v2yQWXKb/GFStLW+IIvakDy9pPNfXk3jN2HDU/t+B68z2D1Ydp7XwM\ne9cTZa8sfh4UvCAZvGBuuSx2N8bNaUxR2YumWFlwcgznD6I7qcJrtYqH80F1Mu9lkCZSBpMpA8Op\nFBFphHTcut9N+2P72DWzUD9e7TpKbuHP5HxZUobq/vvv54EHHqCrq4udO71a37vvvps3vvGNK2pc\nk1p+fcd2/v61d/DbD36Xh/Znuf2y+8n/yh9fbLOaNGnS5DnNRz/6Ud797nezbds21OfB8Nvlc279\nDPbIEOlj++m65hXMta+mO+LHX1aGI8bHAPBtvRRYmpOvVC3kxtNILQlVbb++TBrzF4+g9FyOXGBg\n6PKR4JoojoFv5hB7p9YWS8n8409gr3kFmAbYOcRTD2NnwHnNTRwYT9HbFmT7UnZRON0nohmirWcI\nqS2krACq4zKWyLHVFQQK5YbHp7O4iRyboDAw9kKVIRac8mSi4XsLr+4tY0/NNbRoKm1weNbgZes7\n6GkNksjZxLJWxUfpn3oaNTeLFepCBtqWZcPq1BFiVoycv34LiUjEUbtK7y14lS8nBiuUiqnVpWLV\nVO1Qyeh0jT6G3PgbVbsu7Xwi/gh0lZfeLX5vTuYm6A310drgIKRheAIhi5SwLicOXeqyrnQ4o1cK\n0PhiJ1AyJwmkOhlc5yDbKjcmpMCRLrZDRerGdAQqCq6QaIsYIB2X/L4TyMBpiNR5f5kPXALjv4Q1\n/++y1lkOSwqoVFWlq8u7febTcj6fb8WH1DWpRVEUbr/rfTx6ag837h3h5wNf4TWbb8XtWdKfgCZN\nmjR5UdLb28s73vGOi23Gc46z8ZNk9bOQ3saBdICe1gAvW++JQcTNGCOJU6wNbq7o1PG5Sx3gWe5I\nlvyFrOFlPBTXBdchcvYU+qVXnN+BVFPXPZGouVlPCADwzR1DzgED1xer4pbU1yIl/pkk+L2dxO0J\nAJ6ei9IeH0NanUTTBht6vCDxvIfWltkPXg/VQgghOTGdwe2qjmwd8qJMPa3q7aJLV2Zu2vD2lbVc\nGhVHKvOVMrJ+dqTe0UshsB79Gb54vWCwYG5hdpdv+5VFpfnleJ2WK3AvsJ+qJdJADyKVxDOqcHTl\n2S/pknRz+NBYjsUH4s/UlbcHsJ96kvakIH1F44HV7foZfNlLIbwJ8IQ5jiWPsLltC531IhK8fsi4\nNQMLyMsLKejUT+N38hxRryWdjLEKCJ2K0ilt8us2MZ40KJfWOJI4RDJ7kleFSr2Gaq5aZXPxgApA\njAzCZQqojYNJkTMqpxFchPBkSY/prrnmGj784Q9z8OBBXNdlcHCQT37yk1x99dUrbV+TOmzoCiN/\n/y+ZbfPT9V8hRn/6Xm+wW5MmTZo0qcv73vc+7r33Xh577DH27t1b8d8LFSEFSTdX9z3DMQs/vb8d\nzpnTqEaOuWzJ4T6WOMJwPMGZeKmUJ5/P051deL7MYhV9+ye8EqF5nyeQKCvFqXKAc5bLqZks54qo\nceKgnou/1CrEiVQe/5xO5MwU/pksvslpusdKpXamWKY0e9Xx2gtkTGadaaSU2Ke9UkGlqrxr/om9\nbjlkTYeZrFl8B2DGyfBLfXB59pU23tDmpaxSQyEo9M00DqhkLlfxc7kcmUhxYLyRWlyldY67fA+8\nvFOwem1JbQbFcLNYos6xSFDzsZqNdO15zHvoUEDTG9wHhYs3bMYJTe8jbsZxhcPx5FGSVoL9sX01\nq1hP70E9uI85e5Sz+lFmjcYlolIBf+F7QkhJdvKHNcuUl4UCzBpeGalVNhi45emTFfbWHIalFzK4\nlWiT+/FP729onzDqSKxfhITPkgKqe+65h3A4zHve8x4mJia46667UFWVe+65Z6Xta9KAt/3qpXz/\nlvfQk4YDv8yRe+LjF9ukJk2aNHnO8tOf/pTvfe973HvvvXzkIx8p/vfRj370Ypt23kgpGXbGOLl7\nNwDW8BTuzBwnUyfYmxtGF6VeW/+s10c0mDlJyqrst9JyOopt4+o6IpOm5VBt75TSIAuBFCj5aue4\nvuMk67wu62zXdiX7x1OcjeVwXIFhuxycSGM6YtEIaN6dMg6erHnPlziF7UqmM2axl6W0ngQ7jzZ7\npK5zl8k7aDkbw5HYpo1vZo722fLjns9YLH7M9Xg8+ovalYFIIk1++AAzTtl8Lgkx3eLIVO3Mrnr7\nSzQIrj1qlzcWydaZjqh0XBvIxS9FvGxBlrK+lJ6zb1V+ZvO9O40IOOcerHs0sG3+XJSdk6H8M8xa\ntYqiqh5FS55FNeoMumaJZbaFJfPCZn/saY4njy24vEwmkIk4s5bX+5a10zwy+Z813wn19q9IQaP4\nM2tneWTyP4u/p8t6rwQSIQX2fJBVdb34YsfxxU4saHc1IpvFjaex6tyrANYTO3FmGwftF5IllfwN\nDg5yzz33NAOo5xCqovDOO+/gu6ee5jcPP8m/Pv4Iv7fhYZTNKzfHokmTJk2erzz55JM8/vjjdHYu\nMNvoeUra8TI8MSNN2s3hn47jGifIdm4FwCkLVoIz8eK/vSzVvBsgQUo6Dj2FNR1B6+pGyzQedloV\nh6DNHUdLnkHR3KKjtNRnxJbIcVz/JS/P7KDdTCGR2EIyNKfTs9opbku3XAh7Wat6gvBLKa2zpIOa\nnWIu60Pagqm0Se+ArAisfHNHvX8M7sENr0Nbv6FikHBgTmfa8YFmsRpQpMRnG/jnaoNC0zWZNE/R\nu8DZmNDHcaXLpQvY3Xt2HL+dxZFrmUwZOKoXJEfTXkbMb2exKKnJKeX7K/zTrhrkOy9kUNMnVPiZ\nMspU/iqqNyW66RLTLVozBmvr2GuXiXuUfy6Gm+VY9nE2pLayZYHjlfnlZaUUW2cilWdoNsdlffXm\nSS2/50YIiSu8oFFmstAWLH/T22/DHFWZbSjoloPmmihVn4GUJclv6TrEshbdLUvrJ3SF5Iv7H2aH\nU8rwurioOYOJuTG6B3qJpkycwv3ozkyjdnWj+L3te0ITGgoQN73vhcncBB2BzopDSiRqs0MK5ZeE\nLMZGCTMBtNUsP7/ArDWG6UzwErmZRC4GAU/lzyqUjSqOAa5dsU7lQbuopo2IeN8A9p6nkLPTzLk5\nCNZ+t8t8DmtqEt/qlZ/buqQM1Uc+8pGVtqPJObCuM8zAu/6Ug/39/LdHVL7+k4+gpF4481SaNGnS\n5EJx5ZVXXmwTVox5la1U3iFlzj9hbpwdmu8TMl3BmViuGCtEjGk0p7Z8ptqtUR23ojQQKfAlh4r/\nBlBnE4in9hX7IOZx5pIEZ6cqXjMLZVCHT30Tw3FxpWSZYnu1NheMThmVT64fy57il/qZ4u9CSCZT\nBnuPjVWsB2AdPYlz/CjaE1+lc98uMOuUFgFhc4aNg3sxnxlEuJXHezp9CtV2UB3R0OVOWHHS9tJK\n03KWw4yRYtocIi/SxYMN2/GK5bJureJaNZmKOWLefqIiUVGmNY96+kShb8jDLlw0OdutyYYNx3I8\nemquoORWScqZBmBmzrteFLdBFsy1So71EjEczyZXgLLIfVDOSP4QKduzSzHTxRaK8aTBbMZi3VPf\nR54aw01kUArlZc7J45X7FuWZLqVQ8ldi79kxujMnaMtPVKw3FNNxTnr3Q0y3GE8ZJPOl8y+k27AM\n1HYFhshyMlsKqCTg33MCa/cRxhN5ZrIm6rFhrKEhnEMHisqW1Sz0MCKUn6B9Ks2qM/VV8hRRdm3L\nOp+nlHRMe9m3vOspOg7bMc78/N/J/+grICVmWRY9eOZBVDOFcai2PLX12DAdu/bimzuGuoii6Yg5\nx5HEITLuMstwz5ElZahuvvlm3vWud3HDDTfQ0dFR8V5T6e/i8pZr1/Kpt3+EtV/5U3b8xOSHnb/D\nm97+EPjrNyA2adKkyYuR/v5+3vzmN3PdddfR0lL5BPuTn/zkRbLq/Bmc0/GevXsO0UkzimknWS1c\nrPkn30jU3Bwi0kPCcDCyFj2tQRzTwtQC5G0XHJOeuYMI3QReCoAtKgOI+cortUoqXIudKDlSUqAg\n0eJJZGs3bixFNG0wJ7JcvlHFOn2WAC1IKZgyT7PZqhyQO5O2cHChM4iDTcaJ0+arVYCrK4pl2QTT\nBnRK/DEvy5TM1QZBdlXAEDMSiOhp2PLSWlEKYeEmvOBEzRn4nQyuEMiCC+pzDXzCxLEUsq6DrToE\n/QJZCDhsYbHhcKHnbBlChu37J1AiIXIvX4+WHiuWWrpIskIHrYWckyRtJ1DlfBavdE5khX/cQDmu\n7GXF1tGlwZiYQ9oWG8sjWtdFnZrAzsWhv7J3viP6JGpbEFdKsqZDS4hi75ZRvE7KjfH+rel5oKXy\n9TKDrOhe9uV2clXw/6HS64SM4WAYNh2h0gnN2wKjLDhzpo9CcBsgSRs5NCVAOFA/h6C7SXQ3CVxF\nYORRAGastHcduoJIehLDp5A/M+GdC2FVZCyrMWzB2ViOS3vaQEiCg6NMZH7eOIUxmYB1q4pldLrl\nFjOmU+YpSId4ac81FatUX//SFgTSOWSrAZYORGg9eopeM0MklcE84ZXSyXQKd6xS4j5V1v9U777K\nWS59scbZ6nX7j+JeOgCAL34KNd+J1EpDzhQE4YxOpqwcM+0YaEaCqJFANTeADKPmLETEW68UEFcS\nmBpCsXQUO4yWGEQIT5CtvKzZcAxaheCUHaUVhWErxsqPO15iQPXMM94gsocffrjidUVRmgHVRUZR\nFP7ktuv56PAHuPvBv6H1IZNHOu/kptf/2zJmfTRp0qTJC5uenh7e+ta3XmwzLjgzmdpTkRZsAAAg\nAElEQVRZhHFH58z0cUaibWzVLYiAlhpGRHpwCo6aELJQt6OAAr78LNpMHA2IG3GCRivJ3LwDtHCp\nlG7EOKwPcrV0UfNztMYlnnuhkBscxXIktmvxVG6SdnMWguBIC4lgTB8l57rAagLRDKBV7G3GGqoJ\nqBJ5mzOjKa6+wiEc0PCp3t+63J7TdE8lkB1eT1ZN706Dw5g1R4nn0vQWAsnyFcr9Zt/EDEFXJ+0T\noFJQcatl0jyJnt3Axr5XEjdr+2J8Q+OAV7KlG3WyD0KCkGi6iWIkUY04EXMGS2sll8tiSANoQXeT\nxDMHuKx2CyiydLhL8QTMsw+TcLxMYb46ayQLG3Mc+kZ2Vsjiz/9zJJ7nlJnghqtWlb0naTk+jF+P\nwpu2Fq1RbaducLkqc4z5Ws5ZWyepuxxKTPPqyyoVIJ88G2dTLM/Va0sbmc2YzEdeEoimTOgFS+T5\n8uGf0OUf4HevfgVaehy3pY9pY4ZEtjbYNoXNE7kzhHOCjIgVlessRzIZ00HTWJU+Drwa8Pqi6pG3\nXcRcis6xGfyhbjpHRwi0lQpVpXARVYF9956TEP4VYrpFZrIsw1h13Q7FdE7P6GzqL2XFWkfjtGcE\nkjZUYeNIEy2VJGJ6n+kzown8SC7pacGd8wQoJlMGrG/BdWWxRHOxskhFugTTBmrYu7/roSVLGWBb\nushCBmteuCKEN/NtTdk67c+cQEvMkH7ZOhqhZiY94Qoo1EoqzFkx1gDGfBZPwmBmkJzdVQjQnz0/\neEkB1Te+8Y2VtqPJeRAJaLz3917P/ZMjfODp7/CfD4/wVOsf8/Ib/v5im9akSZMmzwne97731X39\nq1/96rNryAWm0XOznG3hP3aW1swMsusSALT0eN1lY1kLxe85KjlMYrkJpnImTpmzX/HkWlEAWewH\nOZufIm0bTOayoEIglQfaOBsfJOFmuUTtx0rtQcZr+xgkAkd6JTmhiRRQCp4016ElPwGR6ytU0zKG\nAwHPsQa4+bLVaKpCOpkrbnVegk1xzZpMWzUt+jiJ9tr+i7mszVQiwxVdhQCjKivRP+eWNCi8U4Ip\ndE8swpyp2V7OdLBcgZrNgaYwkTQ4PZygW5bk2rW0jlp23ud7oTRhoSkmznhpu2FzBsdZQ9rx5kg5\n0mXEioEr6E6fIRuYF7uvdZIDdhrVbi3sQ2F3boixgoBAzCplI4L6JO25+dJCl/bRYzjrB4rvz6RN\n+tuC6JaDEhG4uTyBsSHUlkIoMpOEln7Ac6IVIKjnoStQY1lLfgIKWae5rIXq906umJtFtEk0AYo+\nTcqaRkiBK0VR6KCc8v6t8fxhQCFhT+HqM6h6FMXOccS16/Z+zbpZXClwBTgI/E7pXAghK0aIuWbp\nvUA+z6pdQ4yuWQMq+NEQiRSKlYFQN1JCOF0qPTNn/pVs4hi+jpcD0HZggozjVRYZbpbd0z9nR53y\nudDEMOMB737+r9GDxdc1ywUUSJd6z9JWpfpz1nQ5PJnmmlWra66IuJkg4Gugvld273fPnaJ7NEFb\nTAcCFctJZM0X0glziknfKYIVryr49LIHQQ0EJYCC7L0EV0HLTtbaZpdlzoRAS40ggh2k3dASm5ou\nHAsGVH/wB3/Al770peLv99xzD/fee++KG9Vk+WztaeHG997J9z49xVv37+Q7bbtpCf8FV+54/itY\nNWnSpMn5ks1m+eY3v8nY2Bii4Bjrus6uXbu48847L65x58G8+1Ld7A4Q0j2Hyj02Cpd4amKyrGE8\nac9hup2E8KS2QUPMN7CXPT2PGFH8I0+g913Fxv0nCUSyzJdrZVIJtNwsUymT1nwOX9gr+ZuWKXJu\ntmifiYM4Mg0thZIeRcHn5lGs2qfIWZkjZWpEtEmk0Y7fySKEJGcKCFcdOHBwMsV168oCojJv8ayY\n5qyxn0vLXlQLym8uLkqlfEMFKdMBFSaS5rJ8s7A1h2/wSdh+G+DN7YqYs2QIMRVNez55wf6O9HEy\n6SRJJ8js1BxthweRrtfP40hBcCKBWZgnFXB1YjnPbVOkIGhlcNODWNJXPC0AXQcnsXWFxJV5oL1u\nZq5dH6Fz8gx1J6aWH8vcfrpzLijlU6hkUZRkSsTptl0UNAbiT2HtnSQQTdBhDqGvuozZtIGey9Jt\nOkTTJoL6zrNPmDXOuM90UHwKMpNGtyTdqbOczQWJ9cGozJDNzZEXFp1a5TGU9271pA7jagHibS/h\nuyf2E8pbBKWNr7VMhMTN42jhim24sr5gRzk5xws0/Y7OmvEDqE4760b3klzTA0o/IFGs+iqCGTtW\nMcRXKZPNy7gxkG3Ysrb3Jzw5SmLtJm//lrtg8thvJQjZadKRDcXXUvYc+2JxrpUbkUhaY0mkojAZ\n8rFpVfW1ULvxNae8ckHTccmbVs3lY9l1+uasaTZWCdy0n5kpVnxqqWEQ9ethT5pRXCkITrdh9bbW\nvK9lJsDvSacowtu3YuuoCR1WXagB2ktjwe+IiYnK5rmnn356RY1pcn782qU9dLz3j3l0/dW8/XHJ\nj37+Iw4fbGapmjRp0uRP//RP2bNnD/39/Tz22GP09vYyOjrKfffdd7FNOy/mm8l9dbIwaqF0S+TN\nWlk+wJ+fRZufm1T2tiMkSqrUZxExZ1H1KNOpYQACcU+mO2e5jD79EBmzpMSXzDvkLUG6bN5OozIi\nb7te8OC3S9LfpnSxHYlaCO66M8exF5gTFNOryuakxJaCRL62HFJIaDk2TVAfZ0TMMizmMz6Srj2P\n0XrqSMP9lKOKyr6lcNoohmZ+N0freKkHJGSVyv60ucT87gCw9WP48rMEnSRjo56amlYm9R0cmSxk\n7uqjIAlb9WYIKSh1PvN5wsk8gblaufVqUrl6IgOQMWwEgnERY3B8EKUg2DETK8jaA5En9hRteWY8\nBVIg3TxhK4adjOLkS/tvzXv9SfNCBPOW28JiNj+Lli6IhiBRHRtLloYU6+78tV8oZ61WoCy8H3dm\nyJkuMxmTU9OlQKcrcwqlUZakRjPcu9+U7HTxJV9Bjl4WgidNWASGJpCJpUmyN5qBJcofkjgWq5MH\nacuNEDZn0JxccQ6ZqNdPCITs+cxi6bWME8NTu/fW7RmZZPXwBLlCILSoDmJhAe8zrow2k4bFZE5n\nTrcZjee9klbLJZxZ/DpT8/XnYM0HtsGpDG0Hp+ouU1iywkj/aO1cr5VmwYDqvGcHNHnW+e/Xr2fq\nnXezv3cz73xI8u1ffJt9+z97sc1q0qRJk4vK0NAQX/nKV3j/+99Pe3s7f/Inf8J9993Ht771rYtt\n2vlR/We66FxJfI7u9ZM4KZDgj+mEkxkvu5E5izQztOsjXnZLAQOLuMxg5zO05qbw29nClmAkkcNy\nS05nDhPLFYSOnUTMVCrKabaLr2oekGBh2b6QXTsrZv5Iwmasxjfyp+rNlik4u1LyTHacE3q1kyYZ\nT+SJ6xZxvaSIK4Ska2YMn5vHn4whCzONwrkplAZ2V6vqAaXgtID58/m+c88uA5szziQWNrYrycg8\nE1kvUFCES/TsIRTbQEgvYyjxMlGBhoONJbYjUJ1SX4kanRfNEAQzJtIyyKemkUh8SsnlKy/jShm2\nJ0xSReu8Ip2UIFyUfOmYR+eDUSkJjyTwn/HKSWezVjH4LQ+khfB+i5jTRIxpkrMTTA9VynFrsVpl\nwqwb48D0MDOpQkmqNNly4BCBQmmbK2EsUVnaNpepfbiguQbBOkqKGemtG7bj5I7/C8eNqeL5UQAt\nWt/R1zJjtE0O4SsL2lM5C0WCP2+h6fmi6mDD2W2AV/Qqiw8lAIQ9h9/JEre98+8ISWL2GBY2MWOQ\n7tndbNr7r2w8cIJieStgYpMTFumqvjylKis4ksghgJxbOh9a4fw6dRQFNasyWKl/GJIhcxYXQb4g\nBGM4onAOFo8l5jN5iukgF3gQ0MiM6iHX1YicgXHsLNJennLkcniWKwybPBu8/6ZtPHPnn3O2c4AP\n/Lvg+7/4Lrv3ffpim9WkSZMmFw1VVcnlSlkTwzBYu3YtR48evYhWnT/hfBS1bGCr4noN4CE7TcSK\nEdct5gzPaQwNJ8iaDm35cXRzXpUP2vIT5ITFpIjj4KIUyv00Oe98SNJ5l1Su5IzERKaoROavehLf\nEl9khpBs7GTFZKYm+HLLntSn7CgTRqVktS1MBscP4iuIKljCwRUSk5K9uiw4vgWbJ6tUxEJ2io7s\nGZCSI8YkR41JpIS2XKUi2kIE7BRaIWsiZa3KnXduISet4u89Q6XslZnSSUyPkDZsDFuQsxr3loAX\nuFqOKJ6vgaNRzFOz5CxBHovusQROahwjr5M13WI2s30iRedEAlN4WZ5k3mG2ThASNksy2aprFrOJ\nIHHL9glgOxYJmUXgknczIAVJy1s/bEzTGj/knQkpKoK5cnxTZX1nshQo2K4gXZC/N7FRpcDIesGA\n44qizLtaEwyU9tOVPV1xPACmtDnheoFgS36KeFm/lJn0ghkt1jg76D/9Ey45Uqrc8rt5WmI6PWe8\nBwCzWYu04TCaqLwf8tY0Ad0734prokiwHFG0N2LO0ZYeJGQlUKTDbNbkxNwZxkUMQ9qkjjyDlqkf\nZEedZM3Igba813tkuFkkAtURTOeniuMKAPyGWej9m2MkO1ywzdvQquFSIF1+1+YxvYDfyYIEu5Al\nao96gbEs+wyr0akvZd52JIo1NFF/BlUd3Do7mC/9K8c4fAaRyWGdPbuk7Z4LCwZUrusyMzPD9PQ0\n09PTNb9PT08vtHqTi4SqKNz9hqt56n/cy5nOtfzRDwQP/uIHPPjk3RfbtCZNmjS5KLzxjW/k1ltv\nxXEcduzYwbvf/W4+8YlPEAwGF1/5OUzr7D7CuWjx99CBSU+0oQyrkDGo56DPO0iGLDmjru05ewHH\nK9WRgKrnkIji03YbB910UYWDljHoPhtr6CSVIwFd1Dqp6w+cwRGClNQx8PYfSeTIC5Nn3CHSrhcU\nZt1SZkpz86iuyUjsQXYf/x6G8BziyfxEpSOnKKRlDiEFq0/Xzzh450KQcSud7lonvfpoSviERYvh\nfRY5y+XkjA6GhUKlg5eVlRkVAJ8sDX11C8GuYS/81F11Jb78wk/cbafQEyekp7gGtBQcfAeXQXOW\ntFNyzjXLoftsKchTLAukxLIMlMLw1XpO8piYYdCZZNI8Tdo4jePqxQxV3hpHK5v9VQ8X70FAdaZM\nFQ4+N0/ITleITdSLx7szJyt+91ul66xelmhEVAqHTKTyjMbzCCGxbaf+TqpsDjTokfLw1PMMp/Lz\ndrIHCBXUOZ3sgeJ9FrKTtOZLwjEBJ0NbfhLNNYsBrIL3ucVlBiQLdABWmyJJO961H8rqZOxMRUmh\nIkulkoPpU16QXtCDaHBogNc/FjZnKc9HKlWnWpXWIvdRJblk0tveEoKqOSeLUzgOJVcVk5StP+dk\nSbo5WDBbeH4sKEoxMjLCDTfcUHFQr3nNa4r/VhSF48eP11u1yUVGVRQ+8BtX84XgX+Lcdw/v/49R\n7nd2Mpb7Ld712q+jaYHFN9KkSZMmLxD+8A//kBtvvBGfz8ef//mf87WvfY1YLMbnP//5i23aeWEX\nyoosXwsBRyedt1EblOtLIGJUOpE+wy6+N4+TLysFcg0k4BuZws4laTHrP0gN6o2V9MpLv+K6hdZq\nknKzBKCYi/IJk1RVnKEKh9bZLNneNgbzc2xR+/E5Oo7P62ZfP/sYANNOpXph90iiosgpkPMCvTP2\nJP46pW3zKFJiikojVOkiGqivLyYxDdByZBC9yjG0cDCwiuVmliNQEbTOl5tV7StfFghrplPo3/LO\nXHVpZTVWIQgZysXxR8CpE6SZZWerbTpDULewVJsAfvyDY1iXb0bOnSbX7gPFB1Wy6vP9NANHo2TC\n64iYs7S5AfS20sOKGZmik4J4QFnPkF4QXnARDIkoaqaX9V2h4pltNbzsih1vr3hQIAvXePUnYEib\nkOLHkFadd8up/fR0syBWk7MI1a7g2W5598t0ej64rL+PCRGjV/GEUryAo3r3DfqmzIma16rvOQeX\npNRpz+tc9cQoifWd+M3y68AlVCXXL5E1mV9Z8bssnBHvvB5JHKIDWTFkeCFm3FTd8FMKSd/UCVqM\nXFEcw1d1j/mqbvxT2UmujA0ScxvPvipnthCQKmWDoJNuHkU4KDnvu2yqUO65LhcHNtRs40KwYEB1\nojAIrMnzE0VReM8t2/lx999w6FN/zh8+OMi/x8/yv8zf4MOv/SYtkWdj1FmTJk2aXFxM0yQYDHLF\nFd48m8nJSbZs2cKb3vQmBgYGFln7eULBP2v0TH3+Sbavqs9nPhDS6yiKAbSYM0jVkzs306m6ZS0Z\nUZtxKSchK5/iq9mj+Aobsh1BvXFO806k6pScPhdBxIqR9rUUBA5EoYTJrXDSq+kZH0Mi8S+SzUlK\nHVMEkErVeSxTjRPIYo+QIZ2FkxhS4I/XLxmcEokal75eFkW3HMyyIMgxdHxQFOzoGqs/ALWatMyx\nigAtQ3PMu6mumLdAoriCzvFk8Tzq0iCgeMprajaHhc2eZJQIQfpzlddK1qx1ulVpg/DRXiiZ7Dg5\nSbu0yQKdkynS/e0YWCRlrdMs6lzLHVO1/VX1OCHGuVytJ4hewu/otOXHafjhLXIvAUXhDW+5+tee\nXSg59YlacZRGTAvv8wwnFr6nyqm+BopiFGVM5U/jytJDj+prr3NqDmVrP7RWhpK65VA5Br0SVVjY\nOETFDP1VwXoyb9M6niqWAAfsDEEnWVPyGRmsndV25MmdC+y1kjmnceClmpXZcCU9Bly75G0vh2YP\n1YuAN7xsEwN/93l+sfVXecsuyau+n+IDP30zJ0d+crFNa9KkSZMVZd++fdxwww3FEvWf/exn3Hbb\nbdx///3ccccd7NmzZ5EtPMdxXa/0aIGnuQv1MiyFqEiSlfmiKMH8pmZlChcXZ5EqmpSs7CGxcYoq\neeUS13Ups7u8RGvCPEny8NOMnN5L34mZRQKLyn6qRsRlptg/Vo6q13du85iFQrX6TOcO4Obr95Mt\nJbsFVART5QStWlGMpSBSpWDIsEWxzysSzxHKmAQLggLl1qmpTLE/JsdiwcG8vQrBfKkUVbOcYmkb\neH02U6KesAhMJBcvHdUK1011oseWTqn0bIFz7HPyxWOaZ1J4jr1Z1fu2EArQmp2gfbpWyS5RJ1gs\nssjHH6ozsPt8cGTl9e9UNVppjkPrscr+osWEHoDS907V8QSyJm2jyYp+ypCdaNg/dz40fIhU54tJ\nNLiXLwTNgOpFwhXrV3HzfX/Nf938Dq4bhD/6pstfP3ov3911N6JOA1+TJk2avBD4zGc+wyc/+Un6\n+ryM/D/8wz/wgQ98gAceeIAvfOEL/N3f/d1FtvD8cK2Fh9ZCwems48f4taW5ABJJQuqlmVeFnxmZ\nZ0akKntblkkjyeh5FnKKdQz8hZJFv3Fh1LvUJfRYhP2l81bdh1OxLWHV9LNdKNQ6c8eWQs6sXM+V\nslh62HBfmdwSQgsPrdBnpUgbZRl9M1B77gO5xtd2pJDBma0TeBT7jRYYGAs0DLJNc3nnNrBAuWsj\n1PO4ZxYi1aBErzqQmUjVBq0TsaWV2NXdftl9Gk7lWTUcJ5JcueDFEy1Z+Luj7Ui05jVhLv+zWirN\ngOpFRFckwFv/1x8x/MG/oDUb4S+/Khh9eCd3P3gLY7PPXGzzmjRp0uSCk0gkuOWWWwBvtuLg4CB3\n3HEHAFdffTWxWG25yfOJUVnZn7GQj1Gd7XCX0aBtNxjImuf8HZTqfo8KGhzPcprc6z0VbxwglFxD\no8GxOUuRdcZTDlw5zs0hlw0OXKvqLVvOGStnvqRUIgvKdc8+Z4TnSLcU1O0aIRpc//PXy2JS/+dD\nOL1wFq7R53TuyAV+89CcBqWbdajJzC4z8XS+U5m0nEX7MxPL3rVMNX4Acr40A6oXITvefCurv/ld\nottexv/3iODN/5rlYz99L196/P2Yzgo+UWjSpEmTZxlNKzXo7Nq1i23bttHd3V18TVWf338G65cV\n1boYvjoOXHlFzxKqe1aMhcoVGzEv4HDu1HfDZFngMCnql9U1KsN7NllKJq2aerOm5qkOqAxZGUxG\nC+V56iKBVaBBP4vCMh3fZSxbjdUgCHhWdn6BWCzgWimsoyNEHjtA5xMHARoOh67+vlhuKZ92nhFV\ny6m5xReqg6+r7bz2uxDP778kTc6Ztr7VXPPFf8J+391cEg3yv78s8P1gD+994CYeePrvK+Z+NGnS\npMnzld7eXh5//HFSqRRf//rXi9kqgGPHjtHa2noRrbsA1PFL6gVH4ZH6/SrznE/Z3kqiSGrTbhfC\n4V3IAVzQOXwOeNvnSM5yUascZLdQclnds1Pe45UtEywRZTOoFkKcZ69MbgkS/ItUi54zS5YiL1Ad\njD4XqT2m+sdoDE0RfRaCOU274Cm4JRHcsmbFtt0MqF7EKIrCwG++jf7v/RB58xv4jb2Sj33JYeyH\n3+Z/fPcGvv7kP2IvUoPcpEmTJs9l7r77bj7ykY/wile8glAoxJ133gl4YhXvfOc7ueuuuy6ugc8S\niw2Jfe4i6R6uzBQFnKUpvpW2UOu8NXbn5FJnir4gaFS+WP7qjKwU/KinzLfwFpbOSpbZLcOIZbFU\nBcKLS1XJ3xIznPVEWuout8Qy2OLyy1r6wjHXvTKS6bCIbHqTFwdqVzf9H7sH5zd/E+Xzf8s7/ms/\nt++yeOi6b/CHQ99mQ/cruf1lH2J73wtEXrhJkyYvGq644gp27txJPB6vKPVbt24dX/jCF7j22pWR\n0H22WEwKfJ58WZma0BTUqsf7qqoglukUPRsoonbGlSaW17cVXEYvkyJFIS1W3+XLNJCXf6ERWMA9\nTC0hoMrKyoyXWzyvC7NU9UOA7AoJfqyEEt3FJmClsbSuZa8XtmaXFF/6VuizuNAMujqXr9C2mwFV\nkyK+bZfR8/l/xjl5HN/X/g9v3vlLbtttc2jTTr5zZCepjX1c0ncbb7727azrXLk61CZNmjS50JQH\nUwB9fX1F5b/nM11jSViiWt881cHUc5taW7VlzPWB+nOAhOorSreXo5S5jz5Nqdn9QjLpzxU01PPO\n9OhlJXfhtm7ymeXJtFeX7GUx6FxwopHHcs5uaokPE1aKMIELIsrybOBzdDiHgGqpvZVd40ubh3ax\nWWpm7lxoBlRNavBd9hI6P/W3uJMTGA/+kKt+9F2u/ZGO6Y9yaNMX+Zdf/h9i6/roWnsrt17xFq4d\nGEA9X8mWJk2aNHkBsmvXLv76r/+aXC7HmjVr+PSnP01/f/8F2766xMp9S2tZRPzh4gYKfk2t28fl\nBnxQPftIqQ10AIzQahxH4Hd0/G79+U8AQvE1PFxFOMjCKXVcWdMY0aaEicvamUOLYQd9+OsMwF0J\nAoqvoSojQJfS0nBGUiSgkbMqe4K0CxCAtxAiLrKLLucFgnUmPS+DViVU0fdVjaLCQn71UsvXlhtM\ntSsR0rLxdTmPowbw1cnC6qEBNDfHak1fMTn+hcisbiWQs2oyxheKPl8b087y763lIHzBFdt2s4eq\nSUO0NWtpedd76f3BI7R/7h9pf93ruGYmwDsfFtz95Sne8A9f48xfvIX7Pvka/uqff4e//8X/z4Ho\nqDdEskmTJk1e5ORyOT74wQ/yF3/xFzz88MO86lWv4uMf//gF3Ye/bR0tSojNainbZmsRVFVBu/ml\nqNu91+1gL+Gu16JtvxM91I8sLDdPfKCjZttdSn3Bjk3BVYA3j2l+JpOrBsj1ttKhLJ6F0IOeTV0R\nf/G19pCvYKf3c27LKkLBNThqCEcNkA2tIfiydQB1M0sALS2tOFqYfKCHyMatxLavpV8tPZVPhzeQ\njmxAKD7UQm9Ie38bir/kZPmEie1Kkqp3PspL0AQS2dkOwIDaRW/AOw92wfaWoBcIWL5WUgPtFbbN\nXboax18ZKDhqgFxwNQDJdZ0LnTJ61G6E4q3fEfbRFqp9Hn5Vaz8vaenFp6hkuzoRiobZEmBu86qK\n5Ta3dBMkULO+UH1FOesgftyWMBJJwGr8Nz0XKjX5W742CPqw2rxt54Kr2dzagYrqzQwLu4QL5yDX\nGWbqygGkohL2a/T52wj7VXRpYmCjh/rp69+Ko3rbyoTXFfejqgp6sI9sYG2FgMh2bQN+xVcMpq4I\n17Yp9KjtrGkPNTyeHrWdcDKPrYUBcHAJ+lX8mkJryEdbVwvWlZeS7/M+r7aQjx6treI6syIBXF+t\ne71Kqa3syXeE8eNjtdJB4Jo1uO0hpOJDbeujuyWAu6mbkF/F8HeRa23H8neg9VyC4/fu3fJ7uJro\n5X1EL/fuNcdX/14O+TWu7t3UcBs+tfSw3I742dDVS4gA6f7C9R0KsqolQEBTcQrnDMCHig8NRw3S\nF2wl3dfG1JUDxeu8RfE+g0Cklx5fKz2+Fnr97Widl1Tsf2OgdO0G1cprfmvh3gFwOzbQ2raBl4T6\n6fHV/w7KXNVPS2DlRIiaGaomi6KoKoHrdxC4fgetfyZxzwxi/vIhOnf/nF89HSV42ARO4ionmVh1\nPz9ZrZJa1Y7Tv4m2S3dw1bWvZsvApahKM35v0qTJi4fdu3ezfv16rrjiCgB+67d+i8997nNks9kL\npi64/ZW/Tls6zlBCo2tyDC17mLnQGsT167nx8jcg5Q85OtmJb+Ov4ZoGW6+/BmvrevLP/JzU9k2E\nDx7AULIMb7iMPl8cc+wgWmAd29dfyfCWq9Bn/pOoVIikE1ySm6XXDLEu3E+K1ShuDldJYLd0YGza\nwZV9mxmftHlJXw+hLh8/euohbH+WdW2ddO/dT79vAzsvvYzI4d2s2ryDtVv7mRkdZNvgHN0DV5JL\nxjh7aQ9rIhbrw71c0RHEGj5Cb38Pbns3/VdvpvPsd9kZHya1pp2+WDuJ9Sbtcwqt/j42vew6lOEY\nKRzMl+zg5eokwd6zxKenOCDStCVDrLrqVwlMnOaAMsgmfx+R9b24WY3OQ0eZ7iVPT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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_5, varnames=['mu', 'tau_sq']);" ] }, { "cell_type": "code", "execution_count": 260, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.plot_posterior(trace_5, varnames=['tau_sq']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Changing the prior of `tau_sq`. And the data are the first three schools." ] }, { "cell_type": "code", "execution_count": 291, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as model_6:\n", " mu = pm.Uniform('mu', lower=0, upper=30)\n", " tau_sq = pm.Uniform('tau_sq', lower=0, upper=100_000)\n", " theta = pm.Normal('theta', mu=mu, sd=tau_sq, shape=yy[:3].shape[0])\n", " obs = pm.Normal('obs', mu=theta, sd=sigma[:3], observed=yy[:3])" ] }, { "cell_type": "code", "execution_count": 292, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (2 chains in 4 jobs)\n", "NUTS: [theta, tau_sq, mu]\n", "Sampling 2 chains: 100%|██████████| 34000/34000 [00:34<00:00, 978.84draws/s] \n", "There were 158 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 263 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.7156627888145205, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] } ], "source": [ "with model_6:\n", " trace_6 = pm.sample(draws=7_000, tune=10_000, chains=2)" ] }, { "cell_type": "code", "execution_count": 293, "metadata": {}, "outputs": [ { "data": { "image/png": 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PB7toPZLkKon5erpzX9NPfVOT7e5W4rWcdURSlZZkFADjaj7p0npae3HMCqkm\n1IVkDhHFbB5835OWsrS67zt8v235Khw+ym2+mGnsgXbjrOK1ojUzx5k3qK3edLEzBqwtKb9jaWiX\nRbH15Cp9dB12KrIiHpE8JBhnUuW+olM6m7C23Q+dMtZs6XwhwK8PP4SWZbVlnFQsvpCM3lmOJiL9\nfkfj7jrj8IWocvgpt3UexMQa19VM4+1e3SruGVTDWT51sof0xr39HsWLSXYGmeRvxLzzBfz55xLK\nPK7H21FNqTgXPUXKu1eQ+M0ynAv+tw9L2b8c3iBPfF3EB3tqGJNq4pkrZjAnL3WwixXT4mlZTM00\n8e/33+HQe6vIS6lmmsWB3m8DJYiqT0CxZCKnTSI0ciaBsWehJGQNdrEFQYijpqaGrKwsrrvuupiv\nDzcJ/uqYrzdn6QqG+iig6mblxObu2RguTQ/HBsdKs2x0x06t3pl01wFclty4FTKJcOVcG5EwSR+M\nPeFwPMGm1rOQqrK7KkYWw5C3W8FPlm1rl5br6pinWDrqltYZVe2r0L47Wj+ffVVONP3YpJDkKevw\n/ebvqb4rQX43KVLrHFTFMSbFbivNVdDpMl0hEb/rYIO7Z62vahcCT1cHQSNAkjf8vXeZx/SoDF0l\nAqpBZt75Ihq/A8+Jt/V6W8GcuXhm/5aEzU8QyDsL/6QL+6CE/ccfUnh7RyUvfl+Kyx/i+pNy+dnJ\neZj0PZzpsT+pCvry7zAe+oATiz5mrs8Keih2Z7PZk0121nHkpCWhCbrRuqsxHnwP855XAAiOnElg\n3CJ8ky9FSRk7yAciCEKk+fPntxsvpdFoSExMZOPGjYNUqi5SFZJcRXS9mt2HVVip/XgYKc64qq7E\nXm0Dkt5qnkcqUqw06dFliH0mNUqIFFchUtrouOvur3UxPTupe4WMI97cWR21NvRURy1MfUUXcjOm\n/ps+2FLXr19fSMaka1OXaHPNxjvP/aFtoNFpINWLMZyxuvcNhPYtkq0a43SzbSarKtoeHnO8Lrxt\nxWq17ksioBpMQQ/mHc/jH3cOocxj+2STnjn/haFsHYlf3UUw+wSUpPg3gMHi8od4e0cVK7eUY/UE\nmTs2ld+dMZ7JIxMHu2jthXyYCv6Deftz6GwHUXUW/OMW4p94AcExp1Pj1PLIpwXsOuxkgtvCL08b\nxxkTMpAAbcM+jCVrMZR8hmXTX0nY9BcCOSfjO+ZK/BMuAL1lsI9OEI56+/fvj/rd4XDw9ttvk5CQ\nMEgl6jpDYwm6kIfIakyshAiuDgaV95Snm2nHO1Pl9DMmJTohU+S8NQPB4Yl/ntJcB9H64ieM6mwS\n1rb0soexXezC2F3jqtf0y3a6b4TlAAAgAElEQVS7LvpcWPwDnyG3uMHDMVlJbVoq+znRTAeb78tk\nVioqDl/fZe1M8vRsnFlfUhQVrbZ/P5/OJgfurV4HVA8//DCLFy9mxowZfVGeo4pp37/R+O14Zv+6\n7zaq1dO46CnS3jiXpM9+h+OSVaAZGi0+9e4A/95awVvbK3EHZOaOTeWGk/KGZPc+yWfDvPvVcAui\nt47giOk0LnwS/4TzQWduWW6CEZ6/+njWFtTz7PoS7nhvL8eOSuJnJ4/l1PxjkEdMwzPnt2iclZgO\nvIVx/yqS196Gsu7P+Cf+CN/UKwmNOrFXT6MEQeg7KSkp3HTTTVx66aVceeWVg12cjnVxbE/zQPe+\nVHS4CHPbF3vxZ0xpqnC6I4K/BN/QmqrCZD8U83VDKBzEdqeS27a7XPOYKI1/+M95mNrVCaQHIjPF\nQGW/6EOmQANmf+yMkgD1rmCnra1dEejDiZx7q7NPSSLcjTKYqKDXDs30D70OqCRJ4o477iAUCrF4\n8WIWL17MtGnT+qJsRzYlhGX7vwiOOpFQ9uy+3XTKOFzzHyT58//CsvXveOb8vk+33x2qqrKn2sl/\ndlaxZl8tQVllweRMrjtpDMdk9U33iL6kaSzHvONfmPe+jhTyEMg7E8/xtxIcc1rcoEcjSSyakslZ\nk0awek81z28o5b/+s5vJmQncODePsyaNgKQcPHN+h2f2b9FXbcK4bxWmgx9g3vcGoZR8/FOX4Jt6\nOUpizgAfsSAc3WpqoivtiqKwf/9+GhriV2iOFsEOnqp3VOHrCbsnyKgUE/U9HGsRqS+f3ndFmjM8\nBuVwxMStri52Q2rWnFnPurt9q1VAHrqVyLYcvlC7VO4dTQg9kKRA99LZd3v7fbSdbOsPHb7fV3N1\nefu4lbk3OrtEEr1lpLkOss8FM0Ynd2mbGgZ2btZeB1R33XUXd911F/v372ft2rXcfffd+P1+Fi9e\nzI9+9CMmTJjQ4fobNmzg0UcfxePxkJOTw0MPPUR2dnbUMvv372f58uXYbDbS0tJYvnw5U6dOjVrm\n1Vdf5YEHHuDAgQO9PaQBYSxcjdZZhuv0+/pl+/7Jl+M7/CWWTX8lNOJYAuMW9Mt+4nH5Q6zZV8s7\nO6s4WOfGrNfwo+nZ/HTOGPLS2j3XHHTauj1Ytv0D46EPQJLwT7oEz6xfIGcc0+Vt6DQSFx83igum\nZfHxvlpe2lTG0g/3kZtq4qdzxnDBtCxMei3BnLkEc+biOv1+jIWrMe1/g4SNj2DZ9BjBMfMI5J5B\nMOfkcDdQjeiVKwj9qXkMVXOSBY1Gw8iRI7n99tsHuWSDr7vTQ/S2QtnTgeuyqlJQ6yI3zUyiQRcV\n2AyWntZ5Y3UdrHUFyE8fmHtBZBr0nmgbSJoDde3meBosGk9n82sJg8XmDZCdFL9LbdvJhjtjCDpb\nsh0OlD77hk6dOpWkpCSMRiMrV65k5cqVfPbZZ4wcOZL77ruP3Nzcdut4PB5uv/12nn/+eaZPn84L\nL7zA8uXLefbZZ6OWu+222/jDH/7AwoULWbNmDXfeeScffPBBy/u1tbWsWrWqrw6l/6kq5q3/IJQ2\nsUfzTnWJJOE881G09iKSP/kl9kvfIjSyf7tlqqrK3hoX/9lRxSf7a/GFFKaMTGTpwomcM3UkicYh\nFhzIAQwln2Pe/QqG8m9Q9Il4Z/4M74ybUZJ63lKk02q48NhsFk/L4suD9byyuZyHPz/EP9cf5opZ\nOVwxM4dUix4MCfiPWYL/mCVoHCWY9r+J8dAHJH733wAo+gTk1AkoiaOQk0ajmjNQNXrQGgAJKeBE\n8jvQ+B1ITf9p/Pbwvz4HKMHwTIGqAloDijEFJWk0ctpEglmzCOacjJw2SXQ3FI5qbcdQCa3qnd0I\ncDp4wtzVCUat7kCncyDF4gsqBEMq1Q4/EzP77z7TnYlS+0O8pB9D2eAHUwP3mfmCCjsr2mdoFDpX\n2xg7oGr+9JqzlHZHZDr4gdDrvzxWq5WPPvqIDz/8kIKCAs466yzuuece5s2bh16vZ/Xq1fz+97/n\nnXfeabfu999/T25uLtOnTwfgqquu4vHHH8flcpGYGE5QcODAAZxOJwsXhgOP8847j/vvv5/CwsKW\n1q8HH3yQW2+9ldtu632mvIGgL1+Pvn43zrMejZoXoc8ZEmi84CVS37qIlPevxnHRSkIjZ/b5btyB\ncGvUf3ZWc6DWhUmn4dypI7l05iimZSW2y6A1qFQFXd1ujAXvYip4G423ATkhG9cpS/FNvwbV2HdP\nNLQaiYVTMlkweQRbyx28urmc5747zIpNZVw4PYufzhnDmNRwa52SMg7P3DvxzL0TjbsGfeUm9FUb\n0TpK0NqL0Zd/iybGLO+qzoJiSkE1pqAYUpCTx6IYU8PHoTWgShqQJCTZj+Szo3WWYzj8Fab9bwIg\nJ+fhn3gR3mOuREnN77NjF4Shru2Du1huvfXWASjJwEnwdW1uoh6L86e+3N618R49CaYidztgcxsJ\nvab0oBtgorfrae+bNx9rXs7+yJYY3mn8t/pivNK+ahczRidT30E2PSHSwNY9ex1QnX322Zx66qlc\ne+21nH322ZjN0d25LrjgAt5+++2Y65aUlES1XCUkJJCamkppaWnLOKySkhLGjInOHZ+bm0tRURET\nJkxg3bp1uFwuFi9ePGwCKsu2fyBbRuKbfFm/70tJyMJ+6ZukvnslKe9eifPcZwiMPbvX2w2EFDYe\ntrG2oI4vDtbjDSpMykzgrgUTOe+YodUapXHXoKvejKH0KwwlX6D11KBq9ATyF+E75ioCufP7NXGH\nJEnMzk1ldm4qRQ1uXv2hnHd3VfPOzirOmTqSm+bmkZ/RmvFPScjCP+nC6LT3qhpucVJCSE0tT6o+\nEbT67hdIVdE4yzCUrcNQ9Anmbc9g3vo0gQmLcc/+HXLm9D44akEY2g4fbp9We7gZQo+qqHcHcPvi\njFno5zin+ZndEBmq0/eOwOM63ODlmOzuZfZNd3Z9SEdHp6yzSZH7Q5l9sFvqjixyF77sGrV94Kz0\n52TOvd3AunXrOHz4MMcdF56U1u12c/DgQY4//viWZV588cWY63q9XoxGY9RrRqMRj8fTpWV8Ph+P\nPPII//jHP3p7GANGW7cHQ9nXuE6+G3Tx+4v2JSU5D/tlb5Py4fWkfHgdnlm/xH3i7aDv3lgmf0hh\nc6mdzwrq+PpQPS6/TJJRxzlTRnLJjGymZycNXmuUqiL57WidFWjthWhthWitBehrtqF1hZ9qKYYk\nAnln4h63gEDe2ajm9AEv5viMBJadN4VfzhvHyi3hjIef7KtlweQR3HRyHpMy49xgJCnc1U9r6P29\nVZJQkvPwTb8G3/Rr0LirMe16GfOu/yO9cDX+cYtwz70TeYRILiMcuR566KEO33/ppZcGpiBHiJrG\n7o236iu1rgDVTRnPVBXx9H4YOVjXvtdFPNpuTiLc0ZxGg1FN0UjQj3X5I5KKGrfb8eEuzJ8WK3FO\npcNLYj99/r0OqN58801ee+01PvroI0wmEz6fj7vuuosrrriCn/3sZx2ua7FY8Puj/wj7fL6o+T86\nWubpp5/mRz/6EXl5eb09jAFj2fp3FH0ivmOvHdD9Kok52H78PonfLAsnXzj4Lp7Zv8U/+VJUQ+xs\ne76gzME6N1vLHWw6bGNHZSP+kEKiUcuZE0ewcEomJ+Wl9m32ITmIFHQhBVzhMUIBF5qAEynQiORv\njB4v5LOh8dSicdei8dQhRfSXVQkHDcHs2XizbyGYNYtQ5nFN448GX2aikd/PH8/1J+aycms5q7ZV\n8nlBPWdOzODmk/OYOoAZEJWEbDwn/xHvrF9g3vl/mHf8i7RV5+Gb9lPcc+8clMBTEAaKy+Xi1Vdf\npaysDKVppk+3282GDRu44YYbBrdwQqfqIxJnyKpKjbP36aSHmuYuakOp9zyA1MW0/fH0tItnV3R0\nrgbjPIYfNouIqq+4+2Fuvd7qk4Dq/fffx2QKt7ZkZGTwzjvvcPnll3caUI0fPz4quYTVasXhcDB2\n7NioZUpKSlAUBY1GQygUoqSkhAkTJvD4449js9l49dVXW5Y/7bTTWLlyZdQ2hgqtvQhj4Wq8s27t\n07E6XaYz4zrrMfxTfkzC+vtJ+vpPJK6/H1fmHKqTZ1CpyaEqaKHao1JkD1Fu96NRQ+glmXHJeuZP\nHMm0nAyOy9SgD5UjBQuQDrgg5EWSg6AEkZRQxL8RP8uB6PfaBE6agAsp6EQKdX4zVHUmFEMKqikV\nJSGLYOp4FMtIlIQs5IRs5LSJyCnjBqwFsDdSLXp+NS+fa+aM4d9bK/j31kq+OrSNeePTufnkPI4d\n1bX0oH1BNabgOfG/8B53PZYfHse8awXGQ+/jOfF2vMde17PuhYIwxN1xxx0EAgFmzZrF66+/zhVX\nXMHXX3/N008/3eVtrF27lieffJJAIEBqair33XcfkydP5qWXXuKNN95AURTmzJnDvffei8EwNB7q\nHIlkWaU/s4vXDVbr1xCth/f3RKnC0cUfkjHq+nfe1P68YnsdUAWDQSwWS9Rrer2+XatSLHPnzqW6\nuprNmzczZ84cXnnlFc4666yo7U2cOJHMzEw+/PBDLrroIt59913GjBlDfn4+q1evjtrelClTWL9+\nfW8Pqd+Yt/0DNHo8MzoONPuSqqpUO/2U2rxUN/qobPRT3ZhCVei/SdXuZb7vC06p2MOUqm+Z1Hbl\nyPu+Dyhp+q8r+9XoQaNr/69WD80/G5JQLCNQU/NR9YmohkRUQ1L4dUNSxO/hfxVjCqoxGbTGzgsw\nzCSb9Pz81HH8ZPYY3txeyWuby7lx5Xbmjk3lppPzmDU6ZcC6U6qmNNyn349v+jUkfrucxG/vxbTn\nVVzz7iWYd+aAlEEQBkpRURGffvopAKtXr+a2225jyZIlPProo5x00kmdrl9TU8Pdd9/N66+/zsSJ\nE3nttddYtmwZd999Ny+//DLvvvsuiYmJ/OpXv+LVV1/lpptu6u9DEvrJYIy9EYRIg51psqe6kjBm\neB5Zq14HVAsXLuTaa6/l3HPPJTk5GZvN1hL8dMZkMvH4449z//334/V6ycvL4+GHH6ampoabb76Z\nDz/8EIC//OUv3HPPPfz9738nIyODxx57rLfFHnAaVxWm/W/hm/YT1ISR/bafOpefbeUOdlQ0UlDn\n4mCdG3egtVleI8HIRCOjko2Yx86mNPk0gklGChMgT1PHSL0Pg9TcoiSjag3h4EfSogm6QPaHgx99\nQvg/QyKqzhwdLEnaodc3YZhINOq4cW4eV84azds7Knl1czm/eGMn+ekWLjw2i/OnZTEiYWCecMvp\nk3Fc+BqGks9JWH8fqR9cQyDvTFyn3oOcMaVb23L5Q2wtd7Cn2kmp1UOdK0BIUdFrJbKTTUzIsHBC\nbirTs5PQasS1IwwcjUaDx+NpeZDn8/kYPXo0e/bs6dL6Op2Ov/71r0ycOBGA2bNn8/jjj7NmzRoW\nL15McnK4lfnqq6/m73//uwio+lkfzXkqDHNHbIKSYSoY6vwDGe53/l4HVEuXLuW9995j3bp12O12\nUlNTufnmm1m8eHGX1p87dy7vv/9+u9ebgykItzx1ZZ6poTypr3n7v0BV8Mzq2zS8sqKyvcLBlwfr\n+a7YSllTelqzXsPkzETOO2YkkzMTGJtuYVSyiZGJBnRx+0SMAmBg55gXYrEYtFx7Yi5XHJ/Dmn21\nfLCnhifXFfP0N8XMHJ3CyePSmJGTzJSRiR1mVFRUlUZfCKsngM0TxOoJYnUHsHqDBEIKRp0Gk06D\nxaAjK8lAdpKJrGQjqeam7n2SRCB/EYG8+Zh3rcCy+W+kvbEoPL7qpD+gWkbE3K+qqpRYvXxb1MD6\nYivbKxqRFRWtBKNTzYxMNGAxaPGHFHZUOFizL5zOeWSigQumZ7Fk1ugBCxyFo9uFF17IOeecw1df\nfcVJJ53ErbfeSn5+frtkSPFkZGRwxhlntPy+bt06Zs6cSUlJCWef3ZpRtTk7rSAcOXoZtfTzsKKA\nrOBsmmhYq5Fa72sDTFbUPgsWvIH4TwwC+iQMQWcf7WloG4oBc5/ktr744ou5+OKL+2JTRyTJZ8O8\n51X8ky5GSW4/wXF3hRSVzaU2vjhYz9eHGrB6ghh1Gk7KS+XymTnMGpPC5JGJ6MST/mHPpNdyyYxR\nXDJjFCVWDx/vreHbIivPfFvSskyKSUeSSYdRp8Go06KqKk5/CKcvhMsfIta4X40Eeq0Gf5y5MdLM\neiaMsDBhRAITRyQwYUQC46fdSOKUy8Pjq3a/jPHgu00TId+EYkylzO5jR0W4dXRzmZ2KpsxbE0ck\ncM2cMZwyLo3p2UmY9O37SNs8ATYdtvPxvlpWbCpj5ZYKlhyfw89OGYvF0L99qoWj269//WvOPPNM\ndDodf/rTn1ixYgUNDQ089dRT3d7Whg0bWLFiBStWrOCBBx6IGi9lMpnwettnpkpMNKLr6bgBh5EG\nScJgGjrTVHSX1Mvy6zUaNMrgNEv1tuzdYUkw4kfCYOqbR55ty27pwQMss6rHEOj7449VFo2sYHC2\n7quzc2/UabAHZKy+1uQF6clmTAYtHhUM3oFLalDnC2E06luu095cN6VOf9x1JZ0OvbZ/r8eelt2o\n00Anc3GZLcao+oGqqBhM7f9mWhKMGI26bsfiZoserUZDakr/jK/v9Zn/+OOP+dvf/kZVVVVLhiRV\nVZEkid27d/e6gEcC847nkUIePCf8qlfbqXT4eG9XFR/sqaHOFcCi13La+HTOnjSCU/PTRcXzCDcu\n3cIv5+Xzy3n52D1B9lQ7KWpwU2734Q6E8IcU/CEFSYK8NDNJxnCglWYxkGHRk2bRt/ycbNKj1Uio\nqoo/pOAOyNQ4/VQ7/VQ5fBQ3eDhU7+b93dV4I8YNjEw0kGK+hCkpJ3GD7xXm/PA40g//4N/qIv7h\nP4860kg26Th+dArXnjiG0/LTyU7u/I9XmsXAuceM5NxjRlJq8/LixlJe2VzOpwfquPPsCcyfGLsl\nTBB66w9/+APnn38+kyZNwmQy8Ytf/KJH2/n888954IEHePbZZ5k4cSJms5lAoDWJgdfrbTfeGMDl\n6nm6cZfbj6qqBHxDL+NVVxlMul6VX9FK/ZotriO9LXt3eNx+yhvcBOLN9dVNbcvucXc/4YbWG8TS\nD8cfqyxaORBV3s7OvarToJEVJFkhM9FAuc3HzlIrZr0Wt79vzmF3RF6n/XXd+PUh1GD/Xo89LrtO\n0+nkxh6PHyXi4ZJK7L9tHrefQCCE2s3nKF5PEFlRsNs9nS8cR2Zm/AzMvQ6oHn74YZYuXcr06dPR\naPoxvc4wJXnqsGx/Dt/Ei5AzpnZ7/aCssK6wgXd3VrPxsA1JglPz07nz7GxOzU8PR/3CUSfVoue0\n8emcNr53Kc0lScKk12LSa8lIMDAtO/qPhaKqVDp8FNZ7KKx3U2r34vKFqPTn8f8MdzPZUMpPgm9y\ng3c115s/xpZ7LpoTbkTOmdbjcXR5aWaWnzeFS4/L5uHPD3HHe3uZPyGDuxdNEt0AhT533HHHsWLF\nCv70pz8xf/58zj//fE4//XT0+q53D/ruu+948MEHefHFF5kwYQIQzlAb2cXv0KFDLeOsBKEnfCIp\nRrcoNE3h2NRbZ5AaMgeMprsRxjDW0y5/qkq/DdbqdUCVnJzMeeed1xdlOSIlbH4C5ACeuXd0a73D\nVg/v767mwz01WD1BRiYauOWUsVx4bFaXnvgLQl/QSBJjUs2MSTUzf2JGjCVOAC7BZi/GvHsF6ftW\noXl3NaH0KXiPux7/5MtQDXEmK+7EzNEpvHLNLF7fWsE/vzvMVS9tZumiSSyYnNmrYxKESDfccAM3\n3HADVquVL7/8kjfffJNly5Yxb948Hn744U7X93q9LF26lKeffrolmAI4//zz+c1vfsMtt9xCSkoK\nK1eu5IILLujPQzkqDcGhFEIXSRq63crQLWp03TnZrGNcuoUDta4Bz9g4EHm69KGuT5Q80I6GPGW9\nDqiWLFnCypUrueyyy1rmohLCtPYiTHtewzftauTU8Z0u7w3KrC2o4/1d1WyraEQrwbzxGVw6YxQn\nj0sT2c+EIUtJzcc9bznuuX/EdPA9TLtWNM1z9gD+/HPxT7mMQO4ZoOnenxydVsO1J+Zy+vgM7l1z\ngLs/2Me5U+v544KJJJvEvFhC30lPT+e0007D5/MRDAb5+uuvu7Te2rVrsVqt3HFH9EOzV199lZtv\nvpmf/OQnqKrKqaeeytVXX90fRReEYUkrSYT6MSQON0a01ptEHWp4GYqJJzoiqWrvijxv3jzsdjuy\nLKPVhvs+DrUxVHV1vct68pu3dlLd6Mek1zIy0cCoZBPZyUbGpluYMCKcPU/TNvxWVVI+vBZd1WZs\nP/0aJSEr5rZ9QZnNZXa+PtTAZwfqcAdkclNNXHRsNj+ansWIxCNvziXhKKCq6Gq2Ydr/JsZD76Px\nO1DMI/BNugj/lMsJZc7o9iOrkKLy0sZSnv++lAyLnnvOnczJ43rX5VEYejrqo94f9u3bx9q1a1m7\ndi21tbUsWLCAc845h1NOOaXlntafenN/clXuoe7wjqN6DJVWKyEfBWOoZoxOZk+1s8+OtW3ZS7K7\n39MoyXOYjMZ9Pdq/Ua9BVtSY499ilUUr+8it+6rl987OvV4nYWjKaDwuw0Kl3cfIJCNGnWZQWqj0\nOqkldfhAXjd9radlN+o1nZ7zFLOOsemt40wVVWV3Zfu/jzNGJ7OzorHbZajMOJXZx04kuRcjZfp1\nDNUbb7zR200MedOyk0gy6vEGZaoa/WyrcOCKGNRo1mvIz0hgfIaF8RnhzGjHu9eTWfoVrtPubQmm\nVFWlqtHPwab5oXZVNbKlzIE/pGDSaVgweQQXHZc9oJO4CkK/kCRC2Sfgyj4B1+n3YTj8JaaCdzDv\neQ3LzhcJpU7AP/FC/BMvQE6f2qXgSqeR+NkpYzltfDr3fnyA3769m8tnjuL388djjpE5UBC64pZb\nbmHRokX88Y9/ZO7cuWIssCB0kTSEmxAUNdzCIWnCLWG5aebBLpLQCV8nSSuGul4HVKNHj8bhcPDV\nV1/hdDq55pprqKmpISsrdovMcPSrefntXnP6QhRbwwP1ixrC/24osfHhnhqScfOx8c8UqGP4yfqp\nqN9/j6yoOH3BqBTW49LNXDZjFKflpzNrTAoGkWBCOBJpDQTGn0tg/LlIfgfGwo8wFryDZcuTJGz+\nG6HU8fgnXEBgwgWERkzvNLg6JiuJV645gWe+Leb1LRVsOmzj3vOmMHN0ygAdkHAk+eabb8QDLEHo\nAXUIf29kWcWvylgMMaq5Q7fYR6yBbhEcDL0OqNatW8edd97JnDlz2LNnD9dccw1PPPEEeXl53Hpr\n305iO5QkmXTMyElmRk5y1Ot2b5CET39LdrmdFyc/xHxNNoqqopEkkow6RiUbmZSZyIQRCSLNuXDU\nUY0p+KZdjW/a1UieOoxFn2AsXI1l6zMkbHkKOXks/gnn459wAaGRx8cNrow6DbedOYEzJmRw35oD\n/PyNHVx3Yi63nDJWPJgQumU4B1Naf/e7vQjCUBHvq2fy10f9HtT1LLERQFIHE98LQl/q9ZX2P//z\nP7z11lvk5uZy/vnnA3DPPfdw+eWXH9EBVTxZ5R+RXP4h7hNv4+KTFiOmOxaE2FRLJr5jr8F37DVI\nXivG4nBwZd7xPJZtzyInZBHMnU8g9wwCuaejmttnGZydm8rK62bzt6+KeGlTGeuLrdx3/hQmZfb8\nBiwIgiAMnmzb5qjffYY06lJmdns7aRYDIxKHxlQbzeOnhCNXrwMqVVXJzc0FWp/0mc1mepnrYljS\n1e0m6Ys/EMyeg2f27wa7OIIwbKjm9NaWK58dQ8lnGA5/gaH4E0z7V6EiEco8jmDuGQTyziCYPRu0\n4YQtiUYdfz53MmdMzODBTwu47tVt3HRyHtfOGRM167ogCIIw9LnMOTjN4XplmusAktqzBA7xWsCG\nb5u0MJT1OqDKz8/nqaeeakkH6/P5WLlyJWPHju114YYTjbOC5I9uQjGl4Tj/X6AVKZ0FoSdUUyr+\nqVfgn3oFKDK6up0YytahL12HefuzWLb+HVVnIpgzl8DoeQRz5xEaMZ0zJmQw4/o5PLL2EM99d5j3\ndlXzuzPyWTQlc1h36xL6VyAQ4PHHH+ezzz5DlmW+/PJLnn/+eRYsWEB+fvvxs0OKuK6F4Uoi7iRi\nIa0ZvyENAEXSo1Xl2At2tgvx9RAGUK8HG9x3333s3r2b008/naKiIubMmcPmzZu5//77+6J8w4LG\nWUHqu0uQAk4aF/8fqkVMPCoIfUKjJZQ1C8+c3+O47G0abt6F4/wX8B5zNRpnFYkbHiRt1flkvDCD\n5DU/J7vo3zx6upFnrziOFJOO/7d6Pze/voM9VWKsiRDb0qVL8Xq9PPXUUxgM4e5B48aNY9myZYNc\nMkE40sWOeNQ+a0MSEdVwNtz6ufW6hSorK4t//vOfeL1enE4nGRkZAzJ3x1Chq9lG8pqfIwVcOC5a\nSSjz2MEukiAcsVRDUkvGQDegcVejL1+PoXw9+vJvMRZ+BMCixBzOGH0a3+XO5c/7VG5YuZ1zp2Zy\n62njGJMq0ucKrbZv387atWsBWu5dCxcu5PHHHx/MYnWRqDAKg0cne/tpy63XtSpJPb7K460nvjVD\nU3+PFEp37gMm9tv2ex1Q3XPPPXHfe+CBB3q7+aFLDmLe8S8SNv4FJSEL+yVvIWdOH+xSCcJRRUnI\nxj/lcvxTLgdVResoRl/+LYbybzGVfMpC/5ucrU9kV/apPFM4k58UHMfi43L52cl5YtJsAQCDwUB9\nfT0jRoxoec1ms4luooLQiRR3Sb9st6/SsYuvsBDJFLD16/b7pIUqkt1u55tvvmnJ+HekkfyNGAs/\nwrz9n+hsB/Hnn4vz7L+gmtIGu2iCcHSTJOTU8cip4/Edex3IQfQV32E89D7HFa3hn9pP8egTeWvv\nqfxhzznMmTWX608aQwb1GosAACAASURBVLJJjHc8mt14441ccsklLFiwAJvNxqOPPspnn33GL37x\ni8EuWudEjVEYpjq+ctu8q6o96gbY87Yt4Uilqgp9MNoppl4HVL/5zW/avWa1Wrn77rt7u+mhQZFJ\n+vx36Gp3ovHUogm6AQilT8Gx+EUC+ecMcgEFQYhJqyeYN59g3nxc8x/CUP4txoL/cM2hD7lO+ZQN\n26fx5M7FjJ5zCVfNzsUsMgIelZYsWcLUqVP55JNPWLRoERaLhSeeeIJp06YNdtEE4aiU5C2jMaE5\nIYzU9P/hNqJGGJKGckAVS1paGkVFRf2x6YEnaUBrJJR5LEpCFoplJKHsEwiOmiueDgrCcKE1EBh7\nNoGxZyPNW45p37+ZtWMFp3j+QsEPr/Pc1svJOfkqLp4xRkwMfJSoqalp+TkrK4vrrruu3ftte2AI\ngtB3giEl5uv6kKfdaxmNe7q9fYNO1NGGk3Yhc5wYWu1NcK3Gvub6Qq8Dqj//+c9Rfc1lWebgwYPk\n5OT0dtNDgyThXPC/g10KQRD6iGrOwHvCr+H4XxA49CE5G5/gvxufpHT966zYeCmpJ17DhTPHijms\njnDz589HkqS4cyZKksS+ffsGuFTdJSqM/T6SXegXHV25fn1K1JISKhZ/Xbf3YYnzN1x0BTx6SUM5\noMrOzo76XaPRMGvWrCN2DJUgCEcIjQ7/5Etg0kWEij8jacPf+JP9Oaq+f4sVmy7FMud6Lpk1VnQF\nPELt379/sIsgCEIM9sQJfbIdkVhGaKcfH8D0yxgqQRCEYUPSEBx/LuSfg718PcZvH+Vu6wtUbvoP\nL/5wOaYTruHyE8aSaOyXHtLCIPP7/axatYpt27bhcDhITU1lzpw5XH755S3zUgmCMHDUdmNcelYJ\njhdOeQI9myhYGP60vgYwjumXbfe6hjB16tQOnwKoqjpMuk4IgnBUkySCufPgqtOwl3+L5dtH+LP1\nX5Rv+Q8vbL0M4/E/YcnscSSZRGB1JLnzzjux2WwsWLCAlJQUHA4Hq1evZtOmTcNgLirxBF44AknR\n81D1wWaEYSE6cK51+ft8D7I5o8+32azXNYOlS5dSWlrKxRdfTEZGBg0NDbz11lvk5+ezePHiviij\nIAjCwJEkgrmnw1XzsJd9TfL6R7nX+hzl297hua2XYZj1E66cPZZUs0i3fiTYvXs3X3zxRdRr1157\nLQsXLhykEgnC0a0nKdJjEQHV8BaQ+3a8k9eYgaoz9+k2I/U6oHr77bd5//33W34fPXo0M2bM4KKL\nLuLGG2/scN0NGzbw6KOP4vF4yMnJ4aGHHmo3Jmv//v0sX74cm81GWloay5cvZ+rUqQCsWrWKFStW\nIMsyo0eP5sEHH2y3viAIQo9IEsG8MyF3Po7SL0lZ/xj3256jbNt/WLntPALTruKSE6eQnWwa7JIK\nvTBmzBgaGxtJTk5uec3r9ZKXlzeIpRKEI1vHiSHavtfTLn8iojoS2TzBHq7Zv9dDrwMqp9NJUVER\n48ePb3mttLQUp9PZ4Xoej4fbb7+d559/nunTp/PCCy+wfPlynn322ajlbrvtNv7whz+wcOFC1qxZ\nw5133skHH3zAzp07efLJJ3nnnXcYOXIkjzzyCI899hh//etfe3tIgiAIrSSJwNizIe8slMNfkLLp\nKe6qewX3vlW8s+cMSkdfzKmnnMWxOSmdb0sYcqZNm8all17a0uXPZrPxzTffcMopp0Tdj2699dZB\nLGUc4hH8UTM7Ua9SRQ8zvenm9//Zu/P4KOr78eOv2Xs3u5v7Ihf3YbgE5Fbk0ATFu1LoT1s8Wv1W\nv20VUakXolU8UalWf1UrirS2yk8rSNBaRauIRW1VlDOGMwmQ+9hkr/n9sckmS67NJptNwvv5eOQB\nuzM7855jd+Y9nysY0RYdFbXusK5DdF6w/UUcLqsLbfm9PaH65S9/yaWXXsqgQYOw2WxUV1eTn5/P\nsmXL2v3cZ599RkZGBtnZ2QAsWrSI1atXU11djdVqBWD37t1UVVX5q17k5uaycuVK9u/fT1xcHKtX\nryYpKQmASZMm8dRTT3V1c4QQonWKgnPgXBg4l7Lj36J+8TyL8v+Ovug9DryRxIeWWdhGL2D06Wdi\nlM4M+oyKigomT55MVVWV/0HghAkTqK+v58CBAxGOTnTEG75ekHuVU6t3+MBOKZRu3nYpueoj2jju\nNrOOKkfnE+JwJ+pdTqguv/xyzj33XL7++msqKiqw2WyMGTOGuLi4dj9XUFBARkaG/3VUVBQxMTEc\nPHjQP0J9QUEB6emBvXFkZGSQn5/POeecEzDto48+Yty4cV3dHCGE6JA7cTTkPkFF3QrY+w789w0u\nqXgD3Y6/UbPDxOGosZgHTSVmwCg8MYPwRA9ENVg7XrDXg+J2gNuB4qpFafYvXrev/rfeglcfhTcq\nBfThqw9+qnjwwQcjHYIQHfL2t4SqnXvbwJKE7r8JlnSqd3J7VA6UNQ3qXNFG0mTQntwLZLA0DU8m\nwnMGdEt3VcePH+ebb76hurqaW2+9le+//57Y2Nh2e/9zOBwYjcaA94xGI7W1tZ2aB+DNN9/k448/\n5rXXXuuGrRFCiOCophgY8xMsY35Cae0JDv33PSr2fER65VdkfvsUfNtsXo0B1WBFNdhQNTpQPb5B\nBr3upuTJ07lejbzmRDz2dDyxw3AljsGdNBZ3wmkQxoa3/c3WrVv54x//yLFjx/B4ArtTfv/99yMU\nVZBOrWKLU5rL48XT77Kq1iktiiZOje0W4HB6URRwt3Ouh5oO9foSqg0bNrBmzRrOOecc/vGPf3Dr\nrbfy5ptv4vV6ueOOO9r8nMViob4+8Oahrq6OqKioTs3z6quv8tJLL7F27VoSExO7ujlCCBESxZJA\n5rTFMG0x5bUunv62gK+++Q+6ygMMVIoZZnMxLFol0+LGpFV97V8ULWh0qHozqs6CqjOj6gP/pfH/\nGl1TiZWzGm11IZqqg2grD2E48E9Mu/4K+BI3V+okXOln4syYiTtxLGhkcOK23HnnnVx//fUMHz4c\njSbUJ59ChNfeYzWRDqHHKGrTg42wtHuRIqpea0RyFAoKJ2qcHC1vva2UUdc7f6e7nFD94Q9/YMOG\nDcTGxvLxxx8DvnE9LrjggnY/N3jwYN5++23/69LSUioqKsjKygqYp6CgAK/Xi0ajwe12U1BQwJAh\nvlG0N2zYwKuvvsq6detITk7u6qYIIUS3iLHoWTh5GJefMZT8klr+uecEz+w9zv4DvtL1EUlWJmXE\ncEZmDOPT7UQZuvhTrKpoagrRHfsafeG/MRz6mKjtDxG1/SG8xmhcadNxZp6NM/NsvLa0btjC/iMp\nKYn/83/+T6TDEKJdigbUftReLJI5jVmnpYxQe4oT4dTYvk3TzgkSZQztAWHLAaO7V5cTKo1GQ2xs\nLIC/ip9Op0PtoCrClClTKCoqYseOHUyaNIlXXnmF2bNnY7FY/PMMHTqUxMRENm7cyIUXXsibb75J\neno6gwYNori4mMcff5y//vWvkkwJIXolRVEYkhDFkIQofj49i4KSWj7Yd4LtB8r463+O8OoXh9Eq\ncFqKnfFpdkan2shOtZNsM3a88MAV4bUOwGkdgHNwLjWAUnsCw5FP0B/6CMOhjzDmbwbAHTu8Ibma\nhWvAFNCd2t2+33jjjaxcuZJZs2YFXH8AzjjjjAhFJUSgjBgzB0sdkQ6jR3g0zTr1URS6u8pfjEXP\n0YrQeooTkdeVZDyclUe7nFCNGzeO5cuXs2jRIjweD/v27ePPf/4zY8eObfdzJpOJ1atXs3LlSv+Y\nH6tWraK4uJhrrrmGjRs3AvDoo49y11138fvf/574+HgeeeQRwNduqqamhquvvrppY3Q6/+eEEKK3\nGRhv4ar4TK6akkmdy8PXRyv54lA5/z5YwV++OoJrh+/nPtFqIDvFRnaKjdGpdkalWDtdiqVaEqgf\ndhH1wy4CVUVbugfDoa0YDn6I+ZuXsPz3/6LqTDgHTMPVkFy540eBplua1vYZmzdvJi8vj61bt6LV\nNj35VBSFLVu2RDAyIZrEmPUc5NRIqNy6qI5nEi14NTo03v7RHXznxikLdqFKWJudKmpHRUkdqK6u\n5vHHHycvL4/KykqSk5OZM2cOv/71r/3dn0fa8ePtj4klhBCR5nR72Xu8mm8Lq/i2qIqdhZUcaqhD\nruBLxkYkWRv+ohiRZMVu0oe2MlcthiPb0B/8EMOhrejK8wFQdWZcSWNxJ0/AlTIBd/xpeO0ZvvpG\nPSQx0dZj6wKYOXMmGzduJCYmpkfX26gr1yfHgR0UHd2Ds67v3kQZTLo+G39Pxj42zc7XRyq7bXkn\nx16QktvpZQwsygt5/VEmLTV1nlanNY8lvvJbLPXH0HqcAfMEs+/Hptlbfd/tVfmuMHL3heE6b3oi\noQr3Od94zModrjZLZEemWNlVVN3pZVdZ0hk84Wzi9KFfz9q7PnX5UeS+ffu4++67ufvuu7u6KCGE\nOGUZdBqyU+1kp9r5ccN75Q4X3xVVsbOwiu+Kq/jiUDl53x/zfybVbmREkpXhDYlWZqyZAXYTho4a\n7eotOAfOxTlwLjWApvIw+uIv0BV9ib74S8z/fR7LV742BqrOjDtuOJ6YIXjsmXiis/Da0vCaE/Ca\nE3w9HfZgwtXdRo8eHekQhBBtkh4kRKDQz4iW/Ud2py4nVHfccQebNm3qjliEEEI0E2PWM31QHNMH\nNY3rV1rrZPexanYXV7P7WA17jlfz4b4S/3QFSLEbSYsxkxZtItasJ9qsJ9qkw2LQotdqMGgVNIqC\n26vi8qh4vEbc3mnUx06hzubFlVGLvXIXsdX5xDn2k1yVT0LJv4j1HEdz0iXJi4IDI3WqEYdi5PDY\npQw5s+908pCSksLFF1/MhAkTAnqQBbjvvvsiFJUQojmXzozefWpUeQxVWHpE7EEjkpt+f9vr4by9\nIZnaE9A2Lwy6nFDNmzePn//858yaNYvo6OiAaR319CeEEKJz4iwGpg2MY9rApiSrut7N/hM1HC6v\n43C5g8MVvn8/3l9ChcOFJ6THcnaMugmYdJMw67WYjBpsOi8Z2hIGcIIETRXxVBKtVmJS6zCqdejV\neuKSszpedC+SkJDAj370o0iHIUSfU21OxeooDOmz7beRaaKi+MZb68ZcoW+nHf2XURdc7306jYJR\nr6He1fluL8PZhqrLCdWXX34J0KLxrqIoklAJIUQPsBp1jEuLZlxadItpqqpS4/RQ7nBR5/Li9Hh9\ng4SqKjqNBr1WQadR0Gs06LQKZr3Wl0DpNWjCPBBib3DjjTe2+v5LL73Us4GERAY8FZHjVUJswynE\nSTJiAwej76gSeZRRR73L2cFcgdTeXuXvlVde6Y44hBBChIGiKFiNOqzGU6v3vmBVV1ezbt06Dh06\nhNfre+JZU1PDtm3bWLJkSWSDEwLITu3ZjlqC1dXb0zirgdLqzt0U91Wp0SYKpav2NsVYTro+heth\nXhiLqEJuSXzttdcGvJZOKYQQQvQ1t9xyC59//jkpKSls3bqVpKQkDh48yNNPPx3p0IQAQNveKKd9\nWN/tyqbz7CZ5oNWeYKuA+oWYGNW5wzc6dshH+MiRIwGvd+zY0eVghBBCiJ6Un5/Pu+++C8CmTZu4\n6aabWLhwIQ8//DCTJ0+OcHRC9A+qoqA0uwnunyli206B2tPdKlzPEMJZUyPkBwSh9rIhhBBC9BYa\njYba2lr/67q6OtLS0ti5c2cEowqWtKEydmFMGdFVwZ9/XiX0G1lf1cK+fc/Zt6OPhPb3WKi/fEcr\nwtdTpJRBCiGEOGVdcMEFnHvuuXz44YdMnjyZ66+/nkGDBmE0GiMdWoc8xthIhxBxUQZtSL19iUBG\nZyn1hriOZwyCS2dB765tdx5PsFW2/A/ve/jhgdLzq+yyflTQ0eGWhHhsnGGs8hfyox2Px8OxY8co\nLi6muLi4xevi4uLujFMIIYTodjfccAPPPfccOp2O3/72t0ybNg29Xs+aNWsiHVqHvDpzxzO1otaY\n2M2RiOb0HQ2s3QvFVu/ttmUVxk3tcJ7aek8nlqgGVBcU4ePRhnespmC1lRsm2X0PukI7G8KbcIZc\nQnXgwAFmzZqF2uwkP+uss/z/VxSF77//vmvRCSGEEGFSX1+P0WgkOzsbgKNHjzJ48GAuvPBCUlNT\nIxxdx7ze0G4rVKX7b/jjovSU1rjanG4xajt5E913WQwaKsL4JDwcFNXd+Q+1keR4WxlAtShuMmkn\nPun8KhpugusMsSGPeRWKZJuR4sr6bluepIPdI8bceyvWhRzZrl27ujMOIYQQosd88cUX3HDDDbz1\n1lskJyfz3nvvcfPNNzNs2DCKiop44oknen2nFBV1IdwEAy6dFejeWiRRBl27CZXVqDtlEioBXo0W\njdd3vB3GeFy6LnT9rqqoXegT0GuMRlNf0anPdHtCFURGVRR3Biml/w59HUGWwHRlQOae0lHtRbUX\npqh9r1xaCCGE6KJHHnmE++67j+TkZACeeuopfvWrX7FhwwaeffZZnnjiiQhHGB4OYzzlUUN7fL1J\n1tCqElVZ0rs5kvDrdBfQvUB3R1xtSmt60ZBNlNhHdfi5er29myMBNNruX2YYeFop2WtuQIyp3en1\n+qaB3bUd3N0fTjizxXtj01ru+xpTclDHrbsZdRq02uDPyqz40Ko/dydJqIQQQpxyysrKOOeccwDf\nMCD79u3jsssuA2Ds2LGUlJREMrywOR49rlsarw9KsKAJ4g7CaNCQGWdGE/I6w5+cHIsZ16n5B8ab\nGZRgaXO6oY02VLp2bhD1OoVRKVb/6xP27E7FFKy2brR17hqiq/cH/tXkt/o3Sl+IvSYfm+NI6wsD\nSm0tb8KrLFkdxudsUZLV95LT1nRHfxEJUe0nXCfsY9qd3njsFVXFrYsKap3HY04P6rgFI8qoRaMB\nk6HjHw4Fhay4lklSW7tRd1I/65Ho/bP3VkYUQgghwkSrbXpqvW3bNoYPH05cXFMvZ5pgsoUIc5ni\n6eyz99bat4RCp1EYkhDF3mM17c43ItHa7vSTOYzxmOubktmO2nsF3VtcO2pNqcB/g57fqNNi1Gmg\n2tnqdKtRS0xyFHuKA/dNezfVw5OsaJvNUG3JIKGya13367QKbk/g/jHptdS0UvVSo3qD7phimN2O\no6qy/ZmCyCDaSjwD5nFXolG9WJzHg4rtZO74UWhqfdVbPfZMtJUHA6Yn2gwcr2r9OHYng1ZDtEVH\nRW3b1XQ9msASKItRy9CEKDzN2kqevIxjMeNIKvedu6oS+GuQHmvC7YWiirqA991aX6Li1ejQeEOr\nNhwKjUZhdKodl1fl+8KqNudzpZ6BvrCDqo8tvvYKWq2Cp+F8H5wQRVmtk6KK7qu22RFJqIQQQpxy\nkpKS+Oijjxg3bhwvv/wy5557rn/ad999h9XauUQgIjRaKm1DMNXtDmr2ZLuRgob/V0ZlYa85EPKq\nDVoNWo1CjEVPeW3bbac6o9aYiMOYGJBQlUUNaz/OVvKpBKuBE82SnRHJUew+KblpvDGNsxr8+6SR\nwxCH2Vna5iqNQSQCmiHnoC/5O64gO6doTKZqTMnUGeLbnM+tNaLz1FNlScdWe7jdZfrGCz1pB7WR\n5xxMnI1Xo2+5jFZ28IihSRxwHyOr+L2gjn9ry02IiSI+SoPT7Q04VidrPBdcWgtaT+cTH1XfrJRD\n2zKOVLupRxIq8LUzbC+ham0/AWiblb7oTnrQ0/xhQFqMKaBpZJzF9/CkMaFqPJJl1mGdjLx1Tr2N\natMA4qqC+/2JMgT3+MdrS4PCfwecqmXWoVjqjwG+75PZoKXCEbgvdZqmhEqvUbpQKh6a3v8ITggh\nhOhmy5Yt44477mDq1KmYTCaWLFkC+DqruPrqq7nuuusiG2AQFKDSPoKYpLQO54XGG2yfcsvgNucr\nSMnlUOLZbU4fm2YPuMkL1pDEpmqChXHBdfihanSU2kZ0aj2aZrFFW3QYddo2EwlTdHLA60OJZ1Mc\nZGyNakxJAa9VFVSjHbvp5GfWHe8zXxWrzDanNyY4dfrWx4yyNlvnoNbalbRRoOfVGkHRtPhTFW2L\nPzRaf2lIZmzbbVeOJMwAoCLKd67pm1V5TEpMQUHB1mIfta4odkqr76dGt9+uyCe4c7UgOSfgdY0p\nuY0523bCflqb0xoT8WMJUzkaP42j8dNwtDP2V2e+YYk2A6NT7USZfMdF16xup6IBt9ZEtElPrLXh\nOAONJ4NGA6NSW+80xNKQBLmaVRGssmQAUGtM8i8jLSHG36V5mzG20Y6y1fP0JBXWoRTGT8drjPYv\nq8qS4W9zF8y+aiyZCxdJqIQQQpxysrOz+fjjj/nkk0/461//6i+RSk9P59lnn2XevHkRjjB4qgqD\nE9tu09OoMmV69687iN62PNEDAd8Ten3DjV5bg8imN2t43zgmTlvV/rLbuAn0x5Z2Blmxvv0SfXJ3\nyw1huywp/rcGJVhIjI2ms05uL9RY2pTawQ1mMJq3N6kzxFKvCz4+o7FpX3ob9mFR0tm4tU3vp0Qb\n8WrCU1nJpbNRkJKLUx/N+PRoJmXGUGfwDUbtSp6Ac+DcgCQLoNrcRickbZQ2mHTBpx2qtoPjoSio\nbaynMT/xNCtF6uj8a9SYNNqMOoYnR+E0xuHUR+PUt34sM1tpO9SotW/b6AE2Uu0mUDQkWX3b2LxN\nUarNd7wVjUJGTMvfiaGJUehbeUASlzSAYYm+RKoodpL//RJ7NgeT5lAeNdSfyESnDCFxwBDirQYy\n48wBpWBDEi0MT45qs7MWm6lpn7qS2m/PWJ95NvXDL8adOplS20j/+ya9ps2sqsqSTkniVGrMA9pd\ndldJQiWEEOKU1bzdFEBycjLjx4+PUDSd0/jEW69VsBo6vil2G9t+Gt6ecuuQNqfZjb6bIXM7Dc3d\nHdwkNacovhswgEOJc4B2uoNWWr/BVPDd+NZHNd1AmZKGt9HRg2/ZMXGJ2Iw6EtrpjfBI/Az//1W9\nhSRb4A16QsPNpKVhn3hSJ5LV0IHFCftp1BsTWl1uezfmlmbHtShuij+5PPnGP9YSWF2sICUXb1RT\nsthYKuFuljyZDU034ADp7ZQ2dQdVheKYCRyNnwY6302+Saclo9l66xsSLoCMWLO/NASgOHZiwPIc\nxgSqsnL8SVpHvOZ4XCkT0WoUoozaTvUMpyoK1ebUgJvy5oegvY4WGudTdUaU4ee3OV+MRU+pbWRT\n6W8rp31pylnUGWKCjrtx/aqixa2z4kqZ0DRBVUmyGzHpWq+Kl2g1+qvNeU4q3fFqDA0LVv0r8URn\nkRZtIsYceC7qNJrAdSjtVP1reIjizDgTj6nlAOSNu8RrS/OXkmbFd9TpjYLeHv7BzCWhEkIIIcJg\n27ZtXHLJJeTk5HDVVVdRVFTUrctPizZxekYMybbgS0JyRjVUT1OUgBvZkzVPYsqtwxiW1HqvYLEW\nPdkDbAE3TB6tIbC6VBs3O2XWpu7bY6P0viRB9RJl0AV24dyQDDSvUuQwJtBarcPGG/AWJR0xmVQ3\nuzm3Gn2JhUmnIWdUEsljc6kfdmGL5TV23azVKng0BsrS5uBK9VUJTIsO3H8DGm4mG5Merz2TaJMe\nvVah2pJJvTEuoPexQ4mzfMsOsvqkUafBqfPtl5M7MEiwGtBpFZJtRryZ0xmfHk1rd+Re1Vei5tXo\nGTg6sOvs7JQujBXVAQVfGxpVo29RMmNqp0e2EttpFCT72jc6jIk4jE3ty0ptI1C1xoaqZ4GMjQmO\nRocn1vdAQDVY8dozqB+6gMwxs4k2Bd74J9oMAV2PN99/tbHZnIgeR3nUEOr1vv2kKJBkN2Az6xie\naGVYUhRubcsSIH8SYIr3J5KtmZgezYTMaCx6LdqGY3kyj95GXSulu2pDouwxtp5cllmHUZo6y9c+\nqUG9Ia7dgXKVNh5YBKedT7bX0UxDgqaa43EMmE5h3GS8ccPa7eNEp9HgiRlMSeyENuexGHTERekZ\nl965ZLQzJKESQgghulltbS0333wz999/P1u2bGHmzJmsWLGiW9ehKArpsZZWy2/0Og1GSxQZZyxo\nNr/v38w4M16NAXfMEI7Ez0CnVRiR7EuYGtu9nEyX7qvy05gENKdVFLzmOP+NZontNBxG3xNhVedL\nOjwxLdtsVTRLqBq3QW2oUuWOb6pG52jopEFjabqRdOpsLaoQFaTkUmYdjsucSIVlYMC0WLOeSZkx\npIyfT+qEBVhHzGV4ejKWhMymnaNoSLYaiY8yNJU4qCqqomDR+xJGxRCF1+YrpVA0CnWG2BbJjWtA\nU3sfV/J4nJmzffspfjAxiU2JnkdrZkArbYAaj1Nx7ERq7b6qU6rBxtSBsSiJI0gdPz+gJKfcOgSd\nRuG0FBv6oXMZNWRoi5vxmvixuLUmalwKtaZkyjPn47U2lra0ffM7ZoCd7FQbI5JbdtJyNH5qwOuT\nS8lOptNq0LfToYfxpFIeRcF/XBoVx57RokTKGzeManNqwHtDE6JwJY/Hax2A1zqA+uEXQ2OVP43O\nfwyhKVEfNyCaY7ETKYybgic6i5KGqpwp0UZGjhpPeqzve1MYP8NfWpZiMzEozpdEmfVazjitqb2f\nzmDAYYwnLcaMK3k87uTTO9w/pugUtBqF7BRbq6XOdpOOCstgMuPMuBq+W87MWTgHzvXts0FnU5CS\niyltDB57Jq7k8ZQOvIBaU0qLZY2fei6aIfPw2Jva7DUfQFlz0vcrdnQOJbEnl943lVA18poTAo7Z\nyc8L6tJmUh7VVhvOwHOx3hBHRfSIdkqgVKIMWjz2DOrMTdvoNcdRlplLrTGR8qghRJt0nJEZS1wH\nXc93hfTyJ4QQQnSzzz77jIyMDLKzfdXMFi1axOrVq6murg5bD4LpsSaKLcNxHfmaVLsR8zjfuFpD\nEi3sP17rH8dmZJKVoQlROFyxuBxlMHgOxlpfN8WuxnGATrqB8UZnoRl9KYM1CpSAqtWjeJp6d3Nl\nnIWt9J84S33dt7YnBAAAIABJREFUIXsbquN4rb4bXXfiGNzxI9GV/I06t8KMwXEcq66n1jIdXf5H\noCh4NUbqo9JxGUx4o7MYojowaDXEWeL4wnQeAwfGQdE6AFKHTqA+WkeRsYLq0kI8Ot9NrVejpzZ5\nKt7iauqa9bCn6q3Em/QQ1VT1RxkW2AkB+G5qJ2XGcJSp7K3UMyglAdf3WzDqnKAoxDdUCXQnjobq\nXQyZOJeiH8qb1qMzo1qa1uGNHogRmDrQhdWoo6RmGhz1dd19RlYMMY5xuDW6hptalXE1XmwmHf/a\nX4rDmIgnIYp6+2mg1WPSaJkysCGpLDpGcewExsRDoSMZHcdQjXZUU9MTeI8tHfjWdw4MHs4eWxrD\nrEZ2H6tm8qA4PLW1vv2gN/sTHZNeQ52rab81T/h2F1cH7CunPgZnxpkcqzlMVu03ZMSaSY81UdCy\nV3Z/RyFTsmI4Xu1EoyioDW259GY7Gk0N8SmDoVmHe3aTjtPTo3F7VaxGLSU1LvYcq+Z49DhU5Tgu\njQ27Sc+MwXE4jCkc3FPob3+kVRTcDW332uK1JKLqTKRwiBSbkXqNwoyhKVTWuXDbTXhLjwG+DhCc\nOg1pdhOHyxwADQ8M9rS7/CEzFgHgUb2tlsqMHmCjqCIwoVaN0Xiis9BWNPVs6YkdirZsH6rBRnqM\nmWiTHrPpck7sPQFuL15jrL+U06TXcu7IRBQlicY+8JJcHvZpFbIaSqTHDLD7OpvQ6FCN0bhTJvi7\nk3cY4rE5jjAqxYpitBLd0P5rQkY0iVYj9uRUjB4P7+7ydWPv65FyH15LEqhN502FZSCxVXvIijej\nJI6EUt++8tjSMETFEJM5jriDh9pNwhtLLlNsJvbWtz88A+BvB2Y363ClzSDK4eH72IkMjLOQHhP+\ngX8loRJCCCG6WUFBARkZTVXMoqKiiImJ4eDBg5x2Wts9gYXCY89AU3ucOIuBqEEj0Hl/QKtRaByB\nRT88l1GDqvE2VHNTFAW9VkGv1TB1YCx2kw4130B8chrWATZizQa8qkpUyjT+ebTphmdYw5hS9dG5\noGjRluejK/keV+oZAAweNgbD4UpqsoZysMqLavbgTmjYVkUBrYGkCT+CGidWow6rUYcxI46DnjLi\nHfl8xQhG2M14TYMAXylDo1lDfe2PYkfNxlFeSEacb1q83caxWpgxOI5ap4eKOheZsWacHi+JViNO\ndQaauvJWu8xuz4DMocQ4Pb4bz6nz0dQUMVab6C/58VoHoKYPxVpey4SMaHTR03HGxqGaW2+nFt3Q\nriTJZkQdfxGJNiManQGPJbAHwxR74OcGxVlarTIZY9FTThKxGUmcDTi5pMU8alQSJoOGYn0WIywG\npmT5ksGMWDM2k47yOh2ulEmMGBTHiIbSjmkD43B6vBwoc1DrDOyW2mrSUV3nbtgeHRUON6o5njNG\nx2A57oTqI6A1MiMrju0HyrCbdHi9vvGmGtvVRBl0RMU13Hpq9dQPvxhNdSGj3TW4EtOZboijzOEi\nIcrg72Gukd2kp7Cyjqo6E+aU0zg3xuTvudI8IJvToqLwmuLQHf8GT0cdUACudF9prDvhNP/DAYtB\n61/vxMwYEiyDUBq6brebdeh1Gn9X+K6B89BU+bqu98QMBo0BE74u6IckNLuBPymZGp5k45sDpaRF\nmylLP52qwwqZw5pKftwJ2aDR444bjlJfiWpJaPge+ba1sZOLyVmxHK+ub1FlVDnpfDHptcwZ3pTk\nt1Yq6rGlo606zOgJZ/nidR7HbU7EpNE2VRMGUuwmystrGZdmx+1VMemiKU0ZgGq2gerFYx2AJ2EU\ng00KmhMK0SY99fGjfElh1WE80b7v9ohkK8ZKM15rCs7Y4WhqitCV7kE1ND1sMum1zB2RiE6j4HB7\nOFjqCNjWRJuBSsdA4ACqPoqxA7RUHzMwINqIU6MlPkrLjMFx/uq94aaoajeMiheibdu28fDDD1Nb\nW8uAAQN48MEHSUkJLJbctWsXK1asoKysjNjYWFasWMHIkb6ePTZt2sQf/vAHXC4Xw4cP54EHHsBm\na1kH+PjxtgcQE0II0XskJoavHUdPevrppzly5AgPPPCA/725c+fy0EMPMWlSU49ZDocTXRuNwoOh\n1WrweLzgcYLXDXoLeD2gCX2ZzdU63Wg1mqDGXgqFP/4uqHd7wxZfe7oj9rbUuzzoGsb6ao3b48Xp\n8QZ0WtEaVVVR1cCu5CG02BtvFxVFweNV8XjVwMF5G0soOhiMuVWOcjB33L7F41Vxe7xYTPqw7fsA\nqgqoAdvk8njxqsGNR9aa5vteVVWq6tzYzZ1L+LudxwnuOjDa252tU+eNy1cCir6NHkid1aAz+36r\nVBXqKto8B5xuL3UuT8B+avXcVlVQPdBGz5Vd/c7q9W3/rkashKqxfvnzzz9PdnY2L7zwAitWrODZ\nZ58NmO+mm25i6dKlzJs3j7y8PJYtW8bbb7/N0aNHue+++9iwYQMDBgxg5cqVPPHEE9x1110R2iIh\nhBDCx2KxUF9fH/BeXV0dUVGBnTtUVwfO01kxMRbKy2ubvVPb5rxd4QjLUluLPzThiq893RV7Vzhr\nQxuUtrti776tN0B98Esz6rUR3/ehnnOt7fvy+u4ZHLtrdOBof5+Gdt60Nb8GaP771/E5EPx+av17\n0dXzvr0HfhHrlKK1+uX/+te/qK5uqqO7e/duqqqq/OOB5ObmUlJSwv79+3n//feZNm0aAwb4Ghb+\n5Cc/YfPmzT2/IUIIIcRJBg8ezA8//OB/XVpaSkVFBVlZWRGMSgghRDhELKFqr35583nS0wO7Ps3I\nyCA/P5+CggIyM5t6JsnMzKSkpISKiorwBy+EEEK0Y8qUKRQVFbFjxw4AXnnlFWbPno3F0vEAvEII\nIfqWiFX5czgcGI2BjQaNRiO1tbVBzeNwOAIGZDQYDCiKgsPhIDo6cIyD/lInXwghRN9gMplYvXo1\nK1euxOFwkJmZyapVq1rM1x3Xp75+jevL8UvskdOX45fYIydc8UcsoQqmfnl781gsFpzOpjqS9fX1\nqKoqT/+EEEL0ClOmTOHvf/97pMMQQggRZhGr8hdM/fLBgwdTUFCA1+vrkcPtdlNQUMCQIUMYNGgQ\n+fn5/nn37t1LYmIidnv7PZQIIYQQQgghRHeJWEIVTP3yoUOHkpiYyMaNGwF48803SU9PZ9CgQcyb\nN4/PP//cn5S98sorLFiwoOWKhBBCCCGEECJMIpZQNa9ffs455/D1119z9913U1xcHJAYPfroo6xb\nt45zzz2XN954g0ceeQSA5ORk7rnnHm644QbOPfdc6uvr+d///d9uj3Pbtm1ccskl5OTkcNVVV1FU\nVNTt64iU7OxscnNz/X+33nprpEPqEpfLxUMPPcSIESMCjtNLL73E/PnzycnJ4Y477gioKtqXtLZ9\nO3bsYNy4cQHHcd26dRGOtPPef/99LrroIubPn8/ixYvZs8c3qnp/OHatbVt/OW5btmzhoosuIjc3\nt98dt76gN16fOvs77HQ6ueOOO8jJyeG8887j5Zdf9n/m6NGjXHXVVeTk5HDJJZfw2WefhTX2zv4O\n9abYO/td7E2xN/fhhx8yYsQIDh8+jKqqPProo+Tk5JCbm8tjjz3mn6+yspIbb7yRnJwcFixYwDvv\nvOOftmvXLhYtWkROTg6LFi1i165dYY25rXupvrLvi4uLueqqq5g1axbnn38+//73v/tE/Hl5eQH7\nPTc3lxEjRlBdXR2Z80YVbaqpqVGnTp2qfvvtt6qqqurzzz+vXnfddRGOqntUV1er2dnZkQ6jW117\n7bXqE088oQ4fPlwtLCxUVVVVv/rqK3X27NlqRUWF6vF41Ouuu0594YUXIhxpaFrbvn/+85/q1Vdf\nHeHIuqaoqEidNGmSunfvXlVVVXXdunXqj3/8435x7Nratv5w3I4cOaJOmTJFPXz4sKqqqvrSSy+p\nl112Wb84bn1Bb70+dfZ3+LnnnlNvuOEG1ePxqKWlpers2bPVr7/+WlVVVb366qvVP/3pT6qqqup/\n//tfdfr06arD4QhL3KH8DvWW2EP5LvaW2Jurra1VFyxYoE6ePFk9dOiQunHjRvXyyy9X6+vr1bq6\nOvXSSy9V8/LyVFVV1bvuuku9//77VVVV1YMHD6pTp05Vi4qKVFVV1dzcXPW9995TVVVVN2/erC5Y\nsCBsMbd1L9WX9v2SJUvUF198UVVVVf3000/VX/3qV30q/kabNm1Sb7zxxoidNxEroeoLghkrq6+q\nrq7ud+3NbrjhBn79618HvJeXl8d5552H3W5Ho9GwePHiPjteWWvbV1VVhc3Wt3vc0el0PPbYYwwd\nOhSAiRMnsm/fvn5x7Nratv503NLS0gCYNm0aP/zwQ784bn1Bb70+dfZ3OC8vj4ULF6LRaIiNjSU3\nN5e8vDyqqqrYvn07CxcuBGDs2LGkpqayffv2sMQdyu9Qb4u9M9/F3hJ7c2vWrOHCCy/0d06Wl5fH\nJZdcgsFgwGg0cumll/rj37JlC4sWLQJ8w+lMnjyZ999/v93xS8OhrXupvrLvCwsL2blzJ1dccQXg\nO3eefPLJPhN/o/r6ep588kmWLVsWsfNGEqp2BDNWVl9VWVmJx+Ph+uuvJzc3l2uuuSZsPzg9Zfz4\n8S3eO3m8ssZxzPqi1ravqqqKgoICfvKTn5CTk8Nvf/tbqqqqIhBd6OLj4znrrLP8rz/66CPGjRvX\nL45dW9vWH45bUlISM2bMAHwdBv2///f/mDt3br84bn1Bb70+dfZ3+IcffmgxpmR+fj4HDhwgNjY2\noF11ZmZmQGdW3SmU36HeEnso38XeEnuj3bt38+mnn7JkyRL/e62NN5qfn09ZWRnl5eWtTmtv/NJw\naOteqq/s+127dpGens5jjz1GTk4OV1xxBd99912fib/R66+/zoQJE8jMzIzYeSMJVTuCGSurrzKZ\nTOTm5nL77bfzzjvvcOaZZ/LLX/4St9sd6dC6lcPhwGAw+F+bTCYcDkcEI+peGRkZzJo1i2effZa3\n3nqLmpoaHnjggUiHFbJt27axdu1ali9f3u+OXfNt60/Hbe3atcyYMYMdO3Zwyy239Lvj1lv1petT\ne+dEXV1dwHY0Tjv5fei57Qv2d6i3xd6Z72Jvil1VVe655x7uvPNO9Hq9//2Tz/HmMWo0moB5jUYj\nDoejx78Xbd1L9ZV9X1lZyZ49e5g0aRJbtmzhwgsv5MYbb+wz8QN4vV5efPFFrr76aiBy540kVO0I\nZqysviojI4N7772XgQMHotFo+NnPfsaJEycoKCiIdGjdymw2BzSIdzgc/WqssrPOOoubbroJu92O\nyWTiF7/4BR9++GGkwwrJP/7xD26//XaeffZZhg4d2q+O3cnb1p+O289+9jM+++wzfvazn7Fo0SI0\nGk2/OW69WV+6PrX3XTabzQHb0Tjt5PfBt33hPpc68zvU22LvzHexN8X+2muvMXToUCZNmhTwfnsx\ner3egG1rjLGnvxdt3Utptdo+se9tNhvx8fH+qm6XX345FRUVfSZ+gK+++gqLxcKwYcM6jC+c540k\nVO0IZqysvqqyspJDhw75XyuKgtfrRaeL2FjPYTF48OCAItt9+/b568j3B0VFRZSUlPhfq6raJ4/h\np59+yu9+9ztefPFFxowZA/SfY9fatvWH47Z//34+/fRTwPf7sWDBAmpqalAUpV8ct96uL12f2vsu\ntzUtKyuLsrIyKisrW/1cOHT2d6i3xB7Kd7G3xA6+3hXff/99ZsyYwYwZMygsLORHP/oRx48fbzXG\nmJgY4uLiAs7/xmntjV8aDm3dS5nN5j6x79PT06mpqfHvL0VR0Gg0fSZ+8PUMOWvWLP/rtuIL93kj\nCVU7ghkrq6/avXs3V155JSdOnADgr3/9KykpKQF18vuD+fPns3nzZkpKSnC73axfv57zzz8/0mF1\nm9dff93fnanH4+GVV17h7LPPjnRYneJwOFi+fDlr1qwJ+PHqD8eurW3rD8ettLSUW2+9leLiYgC+\n+OILXC4X//M//9Pnj1tf0JeuT+19l+fPn8/69evxeDwcO3aMLVu2cN5552G1WpkxYwavvvoq4KuG\nV1ZWxuTJk8MSYyi/Q70l9lC+i70ldoA//vGPbNu2jU8++YRPPvmE1NRUXn/9dVasWMHrr79ObW0t\nNTU1vPHGGwHxNw41sW/fPr766ivmzp3b7vil4dDWvdQvfvGLPrHvhw8fTmZmJn/7298A2Lx5Mzab\njeuvv75PxA++dmAnf2cjcd4oqqqq3bhd/c727dv53e9+h8PhIDMzk1WrVpGYmBjpsLrFSy+9xJ//\n/GcURSEpKYl77rknbE9xwu3EiRP+XmoaG0xqtVrWrl3Lli1bePXVV1FVlenTp3PnnXf2udKAtrbv\nhRde4JlnnuHzzz9Ho9Ewfvx47rzzzj7Vg9zGjRtZvny5v4eqRuvWreOdd97p08euvW1bvXp1nz5u\n4NuO9evX4/V6MRgMLF26lFmzZvHyyy/36ePWV/S261Mov8Mul4sVK1bw+eefo9VqWbJkib8XrqKi\nIm677TaOHj2K1WrlrrvuYsKECWGJPZTfod4Se2Ocnfku9qbYTzZnzhxefvllf2cJW7Zs8Ze8NY43\nWl1dze23387u3bsxGo385je/8Vdb2717N3fddRfl5eXEx8dz//33h/Xepq17qb6y7w8fPsxNN91E\naWkp8fHx3H333YwePbrPxH/BBRdw6623cuaZZ/rfi8R5IwmVEEIIIYQQQoRIqvwJIYQQQgghRIgk\noRJCCCGEEEKIEElCJYQQQgghhBAhkoRKCCGEEEIIIUIkCZUQQgghhBBChEgSKiGEEEIIIYQIkSRU\nQgghhBBCCBEiSaiEEEIIIYQQIkSSUAkhhBBCCCFEiCShEkIIIYQQQogQSUIlhBBCCCGEECGShEoI\nIYQQQgghQiQJlRBCCCGEEEKESBIqIYQQQgghhAiRJFRCCCGEEEIIESJJqIQQQgghhBAiRJJQCdFD\ntm/fzpdffhnpMIQQQogAcn0SomskoRKih/zpT3/iq6++inQYQgghRAC5PgnRNZJQCdEDrr76aj74\n4AMef/xxzj//fAoLC7nxxhuZNm0aEydO5IorrmDXrl3++efMmcMLL7zgf11aWsqIESPYvn17UOv7\n+uuvWbx4MRMnTuSMM87gF7/4BUePHgXA7XZzzz33MGHCBKZOncrq1av51a9+xe233969Gy2EEKLX\nk+uTEF0nCZUQPeDFF18kLS2Nm2++mU2bNnHHHXfgdrv5xz/+waeffkpGRgY333xzt61v2bJlTJ06\nle3bt/PBBx8QFxfHww8/DMCbb77Jxo0b+dOf/sTWrVuxWq18/PHH3bZuIYQQfYdcn4ToOl2kAxDi\nVPT000+jqioWiwWA888/nw0bNlBdXY3Vau3y8isrKzEajeh0OqxWKw8++CCKogCwZcsWcnJyGDdu\nHADXXnst69ev7/I6hRBC9H1yfRKi8yShEiIC9uzZw+OPP873339PbW2t/32n09kty1+2bBn33Xcf\nb7zxBjNnzmT+/PlMnjwZgKKiIk4//XT/vIqiMHjw4G5ZrxBCiL5Nrk9CdJ5U+ROih1VVVXHNNdeQ\nlZVFXl4e3377LX/84x/b/YzX6+3UOi699FK2bt3Kr3/9ayorK7nmmmv8VSpUVW0xv8fj6dTyhRBC\n9D9yfRIiNJJQCdHD9u/fT1VVFT//+c+Ji4sD4L///W/APEajkbq6Ov/rgwcPdmodpaWl2O12FixY\nwGOPPcY999zDX/7yFwCSkpI4cuSIf15VVdm3b1+omyOEEKKfkOuTEKGRhEqIHmIymfjhhx9ITU1F\nq9XyxRdf4HQ6ee+99/jss88AOHbsGACDBg1i69atVFdXU1JSwtq1a4NeT1FREWeddRZbtmzB4/FQ\nV1fHrl27/NUm5s6dy3vvvcfOnTtxOp0899xzOByO7t9gIYQQfYJcn4ToGkmohOghP/7xj3n77be5\n7LLLWL58OQ8//DDTpk3j3Xff5amnnuL0009n8eLF7N27l1//+te4XC5mzJjBz372M6688ko0muC+\nrikpKTz66KP8/ve/Z+LEicyaNYuDBw/yyCOPALBw4UIWLFjANddcw5lnnonD4WDSpEnh3HQhhBC9\nmFyfhOgaRW2twqoQ4pRy3XXXERsby6pVqyIdihBCCOEn1yfRF0gJlRBCCCGEEEKESLpNF6KPmTRp\nEvX19W1O/+1vf8vixYt7MCIhhBBCrk/i1CVV/oQQQgghhBAiRFLlTwghhBBCCCFCdEpU+Tt+vCrS\nIQghhAhCYqIt0iH0qK5en6xWI9XVbVex6u36cvwSe+T05fgl9sjpavztXZ+khEoIIYToo3Q6baRD\n6JK+HL/EHjl9OX6JPXLCGb8kVEIIIYQQQggRIkmoguFxgvTdIYQQQvS46no3Hq9cg4UQvZckVB3x\nOIl/cRzRb16O9sR3kY5GCCGEOGU43V4+yS9lZ5G0hRZC9F6SUHVEa6Bmxj3oSnYR+8ZFaCoPRToi\nIYQQ4pTgbiiZKqt1RTgSIYRomyRUQag7bRFlC/MAFesnKyMdjhBCCCFE/+GqBa8n0lEIETJJqILk\ntadTO/FXGPM3oz/0UaTDEUIIIYToF4w/vIu+8PNIhyFEyCSh6oTa8b/AY03D8uUzkQ5FCCGEEKLf\n0NQURzoEIUImCVUHVFVlzUf5vPVNIW6NkbpRC9Ef/gRN1dFIhyaEEEIIIYSIMEmoOqACu49Vc/+7\ne7nilS84nnUxCiqm3W9EOjQhhBBCCCFEhElC1QGNorDmsjGsumAUBSW1PPaVG2fqFIy7/yZjUwkh\nhBBCCHGKk4QqCIqiMHd4IleekcHbO4v5PvE8dOX56I5/E+nQhBBCAE6nk4ceeoh58+Yxe/ZsAJ5/\n/nl++OGHCEcmhBCiv5OEqhOunZZFZqyZlfsHoaJgOPhBpEMSQggBLF++HIfDwZo1azAYDAAMHDiQ\nu+++O8KRCSGE6O8koeoEo07DlZPS+aJER2XMaRgOSEIlhBC9wX/+8x9WrFjBqFGj0Gq1AMybN4/S\n0tIIRyaEEKK/65GEatu2bVxyySXk5ORw1VVXUVRU1GKeXbt2sWjRInJycli0aBG7du3yT6upqWHp\n0qWcdtppAZ9RVZVHH32UnJwccnNzeeyxx8K+LeeOTCLKoOUTTkdX/CVKXXnY1ymEEKJ9BoOBEydO\nBLxXVlaGoigRikgIIcSpIuwJVW1tLTfffDP3338/W7ZsYebMmaxYsaLFfDfddBPXXnstW7ZsYcmS\nJSxbtsw/bfHixaSlpbX4zDvvvMPnn3/O22+/zVtvvcWnn37Kli1bwrk5WAxa5o9KYu2JYSiqF/3h\nf4V1fUIIITp21VVXcfHFF3PPPfdQVlbGww8/zMKFC1myZEmkQxNCiG6nqTiA4cA/Ix2GaBD2hOqz\nzz4jIyOD7OxsABYtWsS//vUvqqur/fPs3r2bqqoq5s2bB0Bubi4lJSXs378fgJUrV7Jw4cIWy87L\ny+OSSy7BYDBgNBq59NJL2bx5c7g3iUvHpbLDPZg6nV2q/QkhRC+wcOFCnnnmGaxWK+eccw4Wi4Un\nn3ySH/3oR5EOTQghup2++CuU+spIhyEahD2hKigoICMjw/86KiqKmJgYDh48GDBPenp6wOcyMjLI\nz88HYPz48W0uOzMz0/86MzPT/5lwGpZoJTPOxpfasRgOfxz29QkhhGhfcXExycnJ/PSnP+WGG27g\n8ssvJz4+nuLi4kiHJoQQop/ThXsFDocDo9EY8J7RaKS2trZT8wSzbJPJhMPh6IaoO3bW0Hje/WII\n0/X/QlN5GK89veMPCSGECItZs2a1aC+l0WiwWq1s3749QlEJITokY3qKfiCohGrVqlWcd955jB07\nttMrsFgs1NfXB7xXV1dHVFRUp+ZpjdlsDvicw+HAYrF0OsZQzBoSzyP/HgmAvnA79ZJQCSFExDTv\nyAigoqKCN954o8PriBBCCNFVQVX5UxSFW265hTlz5vDoo4/y3XffBb2CwYMHBwysWFpaSkVFBVlZ\nWQHzFBQU4PV6AXC73RQUFDBkyJAOl928it++ffsYOnRo0LF1RXaqjRPmwdQoVvRH5emnEEL0JtHR\n0Vx99dX85S9/iXQoQggh+rmgEqrbbruNd999l2eeeQaz2cztt99OTk4OTz75pL/jiLZMmTKFoqIi\nduzYAcArr7zC7NmzA0qShg4dSmJiIhs3bgTgzTffJD09nUGDBrW77Pnz5/P6669TW1tLTU0Nb7zx\nBueff34wm9RlGkVhxpBE/u0djk4SKiGEiKji4uKAv8LCQj744ANKSkoiHZoQQoh+rlNtqEaOHInN\nZsNoNLJ+/XrWr1/Pe++9R1JSEvfee29A5xONTCYTq1evZuXKlTgcDjIzM1m1ahXFxcVcc801/iTq\n0Ucf5a677uL3v/898fHxPPLIIwDs3LmTpUuX4na78Xg85ObmAr4e/nJzc9m5cycXX3wxiqKwYMEC\n5syZ09V9ErSZg+PY9t0Izi7/M0rtCVRLQo+tWwghRJPGNlRqQ3sMjUZDUlISN998c4QjE91BhhMT\nQvRmiqp23BqwtLSUd955h40bN7Jnzx5mz57NggULmDlzJnq9nk2bNvHCCy+wYcOGnoi5044frwrL\ncqvr3dzyzEu8YVhBRe5zOIf0TOmYEEL0V4mJtkiH0KO6en2KibFQXt5+B069WUfx1zo9fLy/BJNe\ny6yh8T0YWcf68r7vVbGrKsa9bwFQP/zioD7Sq+LvpO6K3bjnTSD4fdYd+vJ+h67H3971KagSqjlz\n5jB9+nSuvPJK5syZg9lsDph+/vnn88Ybb4QcYF9lNerwJI2lvtyAvvALSaiEEKKHPfvssx3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9umtLQURVHQaDQEAgFKS0s57bTTqKurY/fu3aFtjx8/TlZWFmlpaVRUVJCenh6aR6WqKjpd/DwA\nhiTqOaw/iym2g7GWIhAIBIMaq9XK9OnTsdvtoeiJCy+8EK/XS1lZWYzVCQQDg1p7sHO71uZlUlb8\n2FOCKBNwgzYBRKhkr4n4bmloaODgwYM4HA4eeughjh49SkZGRrfZ/wBmzJhBbW0te/fuZdq0abz9\n9tvMmTOHpKSk0DaTJk0iKyuLdevWsXjxYtauXUt2djYTJkwgKSmJv/71r5SUlDBhwgTefvttFi1a\nBMB//ud/otfreeqpp/D5fLz33ntceumlvWuJKOHKuoCsmm1UWCpJyMjueQeBQCAQnDDPPvtsrCUI\nekDyNKFqjaBPjLUUgUDQgt+NsWQjgaFnIA89K9ZqBiwRzaH6+OOP+eUvf0lTUxMbNmwAYO3atTzz\nzDM97puQkMBLL73EihUruPzyyzlw4ADLly+nrq4u5BgBvPDCC6xZs4b58+fz0Ucf8fzzzwPByvdP\nPPEEy5YtY/78+Xi9Xu677z4Afv/732OxWMjNzWXx4sVMnjyZO+6444QbIZoMmTgDgOoj22OsRCAQ\nCAYvW7Zs4eabb2b+/PnMnTs37H9BfGAo/wZjycZYyxB0h5iOc8ohBdwAaJz1MVYysIlohOrVV1/l\n448/JiMjg23btgHBFLVXXnllRF8yY8aMsCyBLaxbty709xlnnMEHH3zQ6f4LFy7sND17eno6K1eu\njEhDrBh31gyc240oZdth1pJYyxEIBIJByWOPPcbdd9/N5MmT0Wgi6isUxCOqCgGPGMUSxD1SswOi\nJg+PsRLhBccDETlUGo2GjIwMgFCIn06nQxWZRXrEaEwg33geY5u+jbUUgUAgGLQMHz6cf/mXf4m1\nDMFJorUUoms8jG/8XFRDKqowFgVxiqEqmMFZJKAQQIQO1XnnnccjjzzCkiVLkGWZwsJC3nvvPaZO\nnRptfYMC68hZXFj+EvnVhWSOnhRrOQKBQDDouPfee1mxYgWzZ88Om6ML8NOf/jRGqgQnisbdCIDk\nc6AaUmOs5hRG5CY4dQjlQjiJzgufE2PpJnw5s1ETMvpC1YAjIodq+fLl/PnPf+aee+7BZrNx1113\ncdlll7F8+fJo6xsUDD0nF8pfovbgRuFQCQQCQRRYv349GzZsYMuWLWi12tBySZLYuFHM2xkw9IVx\nd4qgbSpGTh0DWmPPGwsEUUTrrA3+a6sgIByqriksLGT58uXCgeolI8edTS3DSKzcBiyLtRyBQCAY\ndOzcuZOtW7eSnp4eaymDkiaXn2/LLFw0PoMhiXoAtOYCkP3IWVNirO7UQ/JY0NUfQOOswz9mZqzl\nCE51+ijdutZShK7xCN7TI8vREE9ENHP30UcfjbaOQY2k0VCePoMz3ftwtytgLBAIBIKT55xzzom1\nhEFNgzP47mp0thZN1TUeQWc53sffJGLNIkJVgv8q/tjqEMSUgzU2fqi09u1BVRVNU0nrNdaP6BoO\ngiqHPmts5WjsVTi8AUzO2BVsjoSIRqjmzZvHL3/5S2bPns2QIUPC1kWa6e9URzvpctL2fsa+/ZuZ\nclHHjIUCgUAg6D0jR47k6quv5sILLyQ5OTls3dNPPx0jVQMYJRA0qLSGWCsRCARdoCrQ4OjbjnqN\ntRR9/Y8EFD9y5uQTVdSnWvS1+wDYIV8MQO5Zsc6o2DUROVT79gVPqH0cuiRJwqGKkDHn5eH5To9U\nuB6EQyUQCAR9yrBhw7j++utjLWPQYCjdjBRwiwxmgu5R5GbHWx9rJXGJ0xcgUa9F00chcf2B1DLq\nKYvRzxMhIofq7bffjraOQY82IYVjyT9lsnUr/oCMXqfteSeBQCAQRMS9997b6fK33nqrf4UMElqK\nfcaMUyEnhc+JJHtREzNjrSTEiaapN5R9heR3Cse7Ezx+me1FZnIyEzlrhMhYOdjp1qH6xS9+weuv\nvx76vHz5clasWBF1UYOVwMQ8Rh3ayVcHdnDuhZfEWo5AIBAMGhwOB2vWrKGiogJFCcb+O51Odu3a\nxdKlS2MrLo7xywp+WSXJcOp18vllBb02dkWgjaWbgJOtYxTbkQ/J7+yDowxO79kvB8/L7BogIz3x\nVFtWVfss0UV/0e2TpKqqKuzz3r17oypmsDNm2lUE0OA98kmspQgEAsGg4ne/+x179uxh5MiRbNmy\nheHDh1NeXs4rr7wSa2lxze5SC9uKTD1uFytbK1rfW2py8VVBIx6/3PPGgNaUj7FgbXTExBGSSAoy\n8IjwJrG6/ajx5DQNMrp1qKQB5h3GO7rkoRQlXcDUpi/x+AZIj4VAIBAMAIqLi3nzzTe57777SEtL\n4ze/+Q2vvPIK77zzTqylxQ0Ob4DdpWYCSqtR5fJF5lCUmFzRkhWG2k8GfZ09OJHfHaFDpTMdjezA\nfjfI/ZCNTBjGJ82OYjPfVzSd/IFiHR4bAU1uP7tLLRT10318smhcdbGWcMLEbqz7FMVz5o2MkRo5\ntndTrKUIBALBoEGj0eBytRoLHo+HMWPGcPjw4Riqii/y6x1Y3QEsruga/E5fgI1H67F54rjjsLd+\nWw+OjLFkI4aSL3p58MGNxloWzB4ZJzi8ARodJ38vGIs3orUU9oGivkdjq0DjrA2NxDo84e2vqipe\nuf013fHm0FoK0ZoLaHR48cvdpFM/CUdf8tpCf+urdvf6OLGiW4dKlmXq6+upq6ujrq6uw+e6uoHn\nQcaakT+5BgdJaI+8H2spAoFAMGi48sormT9/PoFAgOnTp3P33Xfz1FNPYTQaYy0tJuird6O1FEW8\nvaapJBjS5j/53vZ6e9BIrbHGf93FEzf/et5DiiOnoSt8AaV7h7ePB8Aktwl93X509Qdal7ka0Vft\nGhSjbRpXfcTbun1yWD23tgRkhVqbB2Qf2sYjJ902+trvw5yT9kfLr3ewvciCrKhIobUdv1PXcAip\n4TC7ik3sq+jjulfNGMq+ispx+4tuk1KUlZUxe/bssJjLSy5pTaYgSRJHj0Y4DC4AQGNIojjrcmbU\nb+BQTT0TR8VvTn2BQCAYKCxbtoxLL70UnU7Hv//7v7Nq1SpMJhMrV66MtbSYIDlqwFYDGadFtL2+\n/kcANN4mFH1iNKVFyMA3sqOB0myPtaYQ6d1Q285iE3UmZ6iuz1cFDeRkJHW5vd0TwO2XGZ7auw6K\nFidTkj2hZfqaPUiyb3AUJz4Bx+ebggZsdk+nNZUO1NhosPsYmlqG0VWFahyCFPCAEkAeekZfKgag\nrrnzI6CoGHo6h+bVDl/8dxjEgm4dqmPHjvWXjlOKjOm3kvzZ/1G5fTUTb/hdrOUIBALBgMbr9WI0\nGpkyZQoA1dXVTJw4kcWLFzNq1KgYq+t/PH6ZigYXLp/M6ePtaBL6LmWzwVmFJiEVJSX+2lVXsxe0\nBgLDp/a4ba9naqlqh50lnx0CXtSkYb06pC+gYNBFNgNjW5EJb0AhN+fkZmzY241O+WWVokYnpw1L\n7nT7nSVmIL4Lq55swoV6u5fMZAM6TfdXh8MbIMUYNJ9V1C59KYPpCONrf6Bx/KKw5QGlY8icrKhU\nWT24fcF1aktYnaqiazgY3KYLh0o62c6HE7wZArKK1nQUJTErdM3319zHeEbMoYoBCeOmU2I8k2l1\n/8Duiv+QCIFAIIhXvv/+e2bPnh0KQd+0aRNXXXUVr776Ktdddx179uyJscL+Z0uhKZRswlD6ZY/b\n6/321g89JKNKbdyPvvrbk9IXLbT2SrRNxVH+llbj1R1q480YKrf36mg2j5+vjzdiahcC5vbLYclD\nWvD4lWYDvnMjus7uxeE9iRGEXtrF1VYPu0rNkX+NzxEcnYoTHN4A+yutHKlsBLlru6zG5mFHsZk6\nuxenT+ZglZ1D1fZOt9U3HY/4+4sanRyttYd+O7Wb8LuArPTxPMjgjy757MFCzV2gAmm2fABsFQdD\n1/zGo/Ucqum8DU4lhEMVCyQJ74V3M06qZd83/4i1GoFAIBiwPP/88zz99NOMGDECgL/+9a/8+te/\n5uOPP+a1117j5ZdfjrHC/sPpC9DoiLyTrqgxWENIIrJMd9BzIJ7HL1NQ7+jxOE2u5hTO7bv32zl0\nLauj1f99woMazTs0ufx8eayOyqYTnHOmBNBXbA1NwHc2O2XWdiNGWwtNkWegU1tHPH6otLKjOHLH\npi/SaKuoHKy2YXN3dOS05gL05Vs6LNdX7Wor4qQ1nCwtzmt6xUaMReu73K7l93Z4AxQ19EUNriDe\nQDeJHtqxv8rKnrIm5E4c7pNF21REV3ebCqQ4ygHwtUtkcSIOnvH4/6Gr/b7H7TT28NJNkiqjNeWH\nXe/d0ejwUmXtvwyMwqGKEUPPv4Z67UgmF/8dmzt+emkEAoFgIGGxWLj88suBYO3EwsJCrrvuOgCm\nTp2KydRzjaWBjtMXwC8rbC8y8327CeOubtKCV1tb5rO0GlAaV2O331Vv695hi6SIqcnp49syC6Xm\nzo0dWVVpaHYMW3rqNX1RxkX2YSxYi8ZZh4SCts18nkhRVIVvjjdSZAoa003uE5v/o3E3onGb0TUe\n6nHbpgjaUvI7MB7/BEPp5mBSkW6MTW1TMZIn3EnryiRXTyCMzOTwY/SZ0crukHNk8/hRHA0Eag/i\nc7ReUy6fzPcVTag9JO7wBhRqbMHfp8Tk4lBNawa4H6uswcQNEBxRaeeQaWQvuoZDfeqoBWSFHyqt\nmJ2R/d5ml4/O/B27p/Pz9nXInNfxet9VauZQjS10jMMnMCrUXRkkfaCNY6gqoHbx23QS7tpxNK/7\nNj9cY6Ok0YnWVtHtdgD6mu/CPg9xFqMzHUVrLe18B9kP/tZMr99XWLscPYwGwqGKFRottgvuZapU\nyL7Nb8dajUAgEAxItNrW6fm7du1i8uTJZGZmhpZpNIP7NScd/oij+7aE5ri0J9Keb3tzqFGfpn9u\nMb7aGc+eQHMKZ2+AzgywqiYPFSVHsXn8GKt3ow8EQ6Hah8WdsJzmUSGt+TjpTUcY2/ANqtzReHT7\nZY7U2jsdvfEFFLwBBU9DMdlVn6N0EyLVKaqK3RtAUbuffxMpUiDoWEi+oOGoUbvWo6s/gKH8m/Zy\nThqfrDDKvIexDVvQmAtQVJVdJRaOlVdQUOekoK7VYC81u2h0+HD5O78uW0I2v69o4kCVDV9AoaDe\nQVVTq/Mrl++mZO8GAIyFn6KvCQ/rHWo/jNZSiORqCD+4EkBfsS3UVifC8YoqLOZ6xjRuRVL8FHYz\nOuWXFb4ra6LC0qbDQFVA9rOzxIzR24ikymHXV1fp26U2CTts7kBYO/QVCf62zw4VnSm/0+3qwjQG\ntbcfzdNay9B05fAA1uqCLp3K7tAoPtIdzVlLu+g00Fdux1jyBZK747Ow3u49oVHA3jC43zRxzpCf\n3kKFfiIXlf4/yhsssZYjEAgEA47hw4ezdetWrFYrq1evDo1WARw5coSUlJQYqusfUt1VePwKBn8T\nUjuDurtxndaivhIljZ0X/JQ8Xb+bihqdPY7QaBzVGAvXhR3H6Q3XWO/whpwsAG9AJtFrQnKZcJiq\nGNO4A1SVw7Un19usArV2L7Iik+BtTnOthBuyks9B/f7/w1OyC4vLi8ZZS4nJha3Z4SxuLow6xBk0\n7lIsR8L2P97goKChY8ijqqqUW9xY3QFKGl1UNLk5WGXvkzpIrefXuXekqiolJhelZleHMLFIQv6c\nJ5DVTXKZUJq/w9ouBFBRVbSuBow+S8gRrLN7KT3W6hC1pFX3dDOymuypI8HbOuqlcdQAwd9XH3CQ\n5A06Uu2TNWhc9WjcJgylm0PLUtyVaBuPoLcGHTm3T0FFRV/0OYdr7Xj8MpKniSG12xht2oU+4CLB\n38k90abTQG5uU1+gNbGEvnInxqLP0PvtZDXuIdN+jGpbuHOkaTPac6jG1mXRbb3fHhwNDHGSXnHb\na6Cb6yFYw0rq0QvX1/0Q9tlQ9hVacwG1Ng9DbUe62Kt7DIHgva90890ab3B03lCxNThaBWhlNwG/\nl/2VVvZV9kER524QDlUs0WhRLn2SsVIDReue7ZNYZoFAIDiVePDBB3n00Ue56KKLSEhIYOnSpUAw\nWcUdd9zBXXfdFVuBUUZtNl41spfRpt0Msx4IW6+oUG52EuiuGGcXKKqKruwbABK9DaQ5S8PWO70y\n5dlPEqgAAB2sSURBVF2E7bWgcQYdF0NFa9KGElOr86YEAtRavRTUOTHXBedntLwJtXLrdiMt34aS\nQABoLUXBELdmw6nJ7e9yTonbLyMrKo02B/U2L3V11UgE20Pyu9HYykPJAFxH1+NxOkj21FJ4eA/2\n41spq6ygxBQ8zypLi6agq5rgKAv/Lp+Cx6cE54ioSsj4bKjMx37wU+rLghnbrNbw0MwEezkaW2Xw\nQ8Ad5jB0xo6ixtCoYgsHq+y0tF6p2RVySqptHgrqHdjcAcwuf1hPfSRWx/ai1h7/bou6Nh8v5Pi2\nOXil1cOhajv+gMJIS6sDVWfz4jV1DP9q2bVtpFpRo5NjdR2daqdPZk+ZhSa3nzGN25Ga27ynzHPD\nLd8zzHoInbkAY+Oh0GiQxeWnstFKbYOJLccbOx3x6BBm6LGgqGqoYyDdXhBal+CtR+MO/p4aNfgd\n+oAjLBwtxV1JTsPXJLurAVA0BsosbrTmjoktRjVuZ2xDx3lpbZF8jlAnRkBRuxyd6c5xDSgKWw4X\nk//1apw+GZWWNu1sZDXY1mrzf2FrvDZ0jUf4sao1bLPS6gmF9ZaZXRGFtwLk1zuRvB3rYB2stoXm\nIwJ4CjYBMLZhC4aS4N/uLhzUvqLbtOmC6JM0+TIKfljAtfX/YO22y5h9SV6sJQkEAsGAYcqUKWzb\ntg2z2RwW6pednc1rr73G+eefH0N10aeoMTga0hLqleypw9/GmKuxenAd24o552KsPYwmNbn92L0B\nZLOV8cDROgeyrDJa+oYRlvKwbbvrANQ0G6Yev4xEswOiyjQ4fKQYtegVO35dKomOUqTi1t5sU2U+\nw0cNCRlratVeDNpgv2+Cr6nZ2Aym7a4uPUyWQUYre5E1OvYU13OW1cWk5rTfqho0IhP0WrYWmshI\n0pNZtg0IGphaghoT67/HGXCzR3MhU8Zn09TGQdQHnFQ6PWjTW0eRUjw12JJyaDEg7e4ADQ4fyQYt\n+vqDoe20tgocmjTSmg5hGTYdff0P6GQfmuY50xpfm1EsVSXZfBC9z4A3LRu5cDMjLWYciaPZcWwS\nszOtBIadAwEPGsVHkqcOvzaRWqcHOcVIaoIObbPnkeAz40oYSWF1A1brjww/61L8isQQZ3AExub1\nM6KpmASPgksdEkyQMbL1HmlJtCArwRG19glGjtTaOW/MECCYiEDXboRNCniweJ2ADo3auq6suoaW\nu1Pq5topMjmpr2wiIHfcpiXMbnzz5/w6B6OdPqqbPNiwsdfhYlyb7TXeJuTk4RDwoK/bj9w21b+q\nhEayWhhXv7n53IPhqNmuraiSRKlFCpvDN8KyD2vyhA76igsOINc5yclMJN3Zmm1yqOl7GB4+Up7g\nszC+dgN7jHmcHihgWPMIWYLfgjNxNCoa/AEFKeDGG1CwuP3QRZmwobYjFP1YwoRzL8EnqyRoAmHZ\nPY/U2DE7DkLy+LARnlqrC6Mv6Cx6AjI1Ng+1jWWcny6ToNNicvrQe4JOT6XVjT+goDVK6GR3l3Oy\ngk49mPUN/JOyj322VM7WB0gx6MJG4MwOH6UVVnLPGs6xOgeJ3gYu77oMWgh/QAlmh1QVkL2o1ftx\nmirBqafI72TqmDS8AYWyukYY2byT7GN87QZqM6ZB2BXStwiHKg5IX/wC5rf2Mf3Av3Mk+0zOnjg+\n1pIEAoFgQNHWmQIYMWJEKPNfrNi1axf/8R//gcvlYvTo0Tz77LOMHDmy5x1PAFvzfAS93Dqno60x\nB5DkbaDUHjRmDH4bx47XMvT8c0PrE3zB3vOW0Sbf4c0kJPmRm43a6qpwZwpAbTN3yGa3M9R6gHp9\nNlWlJeS4gttXybPQJARHqGRFpaY5CcYYdlA17J+Qa3/gB1OrGaLYanAZrKHJ/JWW8JCoLOsBth7N\nIBAIMNzhoyngYqr+S1xjLkGr+HA1hxI6PV7Ka2qwN5Rz/vkzgeCow5Dm85FVFV2zQeh0OXD7Akip\nSofQtrYGd4sTkGk/Rqa9uUanLqi95by05lbnsMntp7wlk11Va4hZZ65Epv0oAU1wbtbhGhu6mqCR\nm+KuJsVdjcufRGpTCQA59cFefr8uEXdAodzsZkiSjjSjHoDhTT9QOjKPTPsxEnxNWA59jtM4kozm\n38TpkfFV7mOYO4BOzUAjudGXfwNcHKaprIuRx1qbl9QEJwk6LQerbYy3eshM1ofWux1mRjV+iS0p\nhzRX63WT3hwi2RZ/JyOKTo9Mg73VETtQ3TqqoQ84SGwJ1QTqasqgeU5RZyM2usYjyJmTMRYH51tJ\n/uA9oqJSvP3d0HZ2byAsdLXtGIukqrh9HXUOcZaEfbZ7A8iNweLYXY3a+mWFofajbasyM6RsA/Wd\nbJvQ7Oj4FZXjDQ4UBfR6eyj0rS1J3gYCXsivbqCqycOlfIfRoGt3PBO25PE0OnxsPFrPReMzqDz2\nLaNcFXj1aZS5gpqTaMDkNDBmiJZKixtJNQDgba6PpZU9ZDduQ0oz4vAFUBUVneRkmO0wSkprvTuP\nvQmHaiOhqY4ag4bTs1LIafg6TJPeb2fHUSfZDd+hkz2QlNbh3KweP76ASoLcOkqocdZhLFyH2+fn\neH3wNzUQvA4OtBkFaxlxbBm5SvLWY3b6ohaaJ6mnQJxZQ0P858f3le9h2KdLOM5YvNd9SM7IrFhL\nEggEgn4nK6vvitDGEpfLxdy5c3n99deZMmUKb7zxBt999x2vvfZa2HYn836SFZXyb9/DF8Ek79IR\nuSR56xjeFD6/oSJrdo/hQ52RlT2JhsrWBBbnjkkN9U63ZVJWMkkGLX5F5WgnWckMCbqI9HfF1DFp\nWFz+UAKAKaNTOdwmlEqrlXDoMmkYcj45zSMQWg0Y9dqQAwYga/SMStF0m8XwjBEp5Ne1jticrPZI\nMeg0nDkiOMLR1mDsCkfiKFLcNd0fs1m7Vith0EoczZx/wrokVWZc3aYT3g/gtKxkFFUNzd3T6zRM\nGJpIQZ2T0pGdR+qMr93QQX9XnDsmFQkJ72kLOiRO8AZk8uu6TioxLMXQp3PbjHoNZwxPodHho9rq\n6Va7M2E45tSzGdvwzQl/T+OQcxhmbc0eedbIFJy+YFiurDVgSj2L4U1Bp8+aPJ4h7UJ4O8OnT8XQ\npk5dpNe8rDWgba4zlmDQkJORGJacpDOmjgl3qFTUTp8pLduVmF3YO0nV3xW2pBymzrwMYyeFlSOl\nu/eTmEMVJxhyplP+s79wFsVoPvo5pZWVsZYkEAgEgl6ye/duxo4dy5QpUwBYsmQJ27dvx+HouUZT\npNQ1dZxL0BXj6zZ2cKag8579SGjrTAGdGj4QDNPyBOROnam+QFHVsGxqh9ulSZZllUSvKeRMQTCk\ny9UuMYZW8feYEr7xJLMM9paW5Abubua7tKUnZ6otsqzi9vXOwExzlfW8URcEFCVszps/oLQa3J30\n87cdmYqEluuxs5pSPSV760tnCsDrV/ArapsyBV2T7KnvlTMFYPSFJ8s4WusIjZZpZV/ImQIicqaA\nMGfqRNC2Kdrs8Sk9OlOd0d10PU9APiFnCiDNVX6y6Tu6RYT8xRHpU6+kVPZw9s6HqF17NbumPc/M\ni+bEWpZAIBAITpDS0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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(trace_6, varnames=['mu', 'tau_sq']);" ] }, { "cell_type": "code", "execution_count": 298, "metadata": {}, "outputs": [ { "data": { "image/png": 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ysrKYP38+9erVyzPHq/WZmZnJtGnT6NKlC7Gxsbz55pueKv26XKnf3bt3ExkZ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\nAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "pm.plot_posterior(trace_6, varnames=['tau_sq'], ax=ax)\n", "ax.set_xlim(-30, 300);" ] }, { "cell_type": "code", "execution_count": 281, "metadata": {}, "outputs": [], "source": [ "%load_ext watermark" ] }, { "cell_type": "code", "execution_count": 282, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "numpy 1.15.0\n", "pymc3 3.5\n", "seaborn 0.9.0\n", "CPython 3.6.6\n", "IPython 7.1.1\n", "\n", "theano 1.0.2\n", "scipy 1.1.0\n", "matplotlib 2.2.3\n", "\n", "compiler : GCC 7.2.0\n", "system : Linux\n", "release : 4.4.0-138-generic\n", "machine : x86_64\n", "processor : x86_64\n", "CPU cores : 8\n", "interpreter: 64bit\n" ] } ], "source": [ "%watermark -iv -v -p theano,scipy,matplotlib -m" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }