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Last active October 29, 2019 21:21
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import arviz as az; az.style.use('arviz-darkgrid')\n",
"import numpy as np\n",
"\n",
"from jax.random import PRNGKey\n",
"\n",
"import numpyro as npyro; npyro.set_host_device_count(4)\n",
"import numpyro.distributions as dist\n",
"from numpyro.distributions.transforms import AffineTransform\n",
"from numpyro.infer import MCMC, NUTS, Predictive\n",
"\n",
"J = 8\n",
"y = np.array([28., 8., -3., 7., -1., 1., 18., 12.])\n",
"sigma = np.array([15., 10., 16., 11., 9., 11., 10., 18.])\n",
"schools = np.array(['Choate', 'Deerfield', 'Phillips Andover', 'Phillips Exeter',\n",
" 'Hotchkiss', 'Lawrenceville', \"St. Paul's\", 'Mt. Hermon'])\n",
"\n",
"def model(y=None, centering=False):\n",
" mu = npyro.sample('mu', dist.Normal(0, 5))\n",
" tau = npyro.sample('tau', dist.HalfCauchy(5))\n",
" if centering:\n",
" theta = npyro.sample(\"theta\", dist.Normal(mu, tau), sample_shape=(J,))\n",
" else:\n",
" theta = npyro.sample('theta', dist.TransformedDistribution(\n",
" dist.Normal(np.zeros(J), 1), AffineTransform(mu, tau)))\n",
" npyro.sample('obs', dist.Normal(theta, sigma), obs=y)\n",
"\n",
"mcmc = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
"\n",
"# non-centered\n",
"mcmc.run(PRNGKey(0), y, extra_fields=('z', 'energy', 'diverging'))\n",
"posterior_predictive = Predictive(model, mcmc.get_samples()).get_samples(PRNGKey(1))\n",
"prior = Predictive(model, num_samples=500).get_samples(PRNGKey(2))\n",
"non_centered_data = az.from_numpyro(mcmc, prior=prior, posterior_predictive=posterior_predictive,\n",
" coords={'school': schools},\n",
" dims={'theta': ['school'], 'obs': ['school']})\n",
"\n",
"# centered\n",
"mcmc.run(PRNGKey(0), y, centering=True, extra_fields=('z', 'energy', 'diverging'))\n",
"posterior_predictive = Predictive(model, mcmc.get_samples()).get_samples(PRNGKey(1), centering=True)\n",
"prior = Predictive(model, num_samples=500).get_samples(PRNGKey(2), centering=True)\n",
"centered_data = az.from_numpyro(mcmc, prior=prior, posterior_predictive=posterior_predictive,\n",
" coords={'school': schools},\n",
" dims={'theta': ['school'], 'obs': ['school']})"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>rank</th>\n",
" <th>waic</th>\n",
" <th>p_waic</th>\n",
" <th>d_waic</th>\n",
" <th>weight</th>\n",
" <th>se</th>\n",
" <th>dse</th>\n",
" <th>warning</th>\n",
" <th>waic_scale</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>non centered</th>\n",
" <td>0</td>\n",
" <td>61.1382</td>\n",
" <td>0.739488</td>\n",
" <td>0</td>\n",
" <td>0.502318</td>\n",
" <td>2.49371</td>\n",
" <td>0</td>\n",
" <td>False</td>\n",
" <td>deviance</td>\n",
" </tr>\n",
" <tr>\n",
" <th>centered</th>\n",
" <td>1</td>\n",
" <td>61.1542</td>\n",
" <td>0.814539</td>\n",
" <td>0.0159735</td>\n",
" <td>0.497682</td>\n",
" <td>2.44386</td>\n",
" <td>0.0922629</td>\n",
" <td>False</td>\n",
" <td>deviance</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" rank waic p_waic d_waic weight se dse \\\n",
"non centered 0 61.1382 0.739488 0 0.502318 2.49371 0 \n",
"centered 1 61.1542 0.814539 0.0159735 0.497682 2.44386 0.0922629 \n",
"\n",
" warning waic_scale \n",
"non centered False deviance \n",
"centered False deviance "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.compare({\"non centered\": non_centered_data, \"centered\": centered_data})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Autocorrelation Plot"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1987.2x662.4 with 8 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_autocorr(centered_data, var_names=('tau', 'mu'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare Plot"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_compare = az.compare({'Centered 8 schools': centered_data,\n",
" 'Non-centered 8 schools': non_centered_data})\n",
"az.plot_compare(model_compare, figsize=(12, 4));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Density Plot"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1490.4x993.6 with 9 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_density([centered_data, non_centered_data],\n",
" data_labels=['Centered', 'Non Centered'],\n",
" var_names=['theta'],\n",
" shade=0.1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ELPD Plot"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_elpd({\"Centered eight\": centered_data, \"Non centered eight\": non_centered_data}, xlabels=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Energy Plot"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_energy(centered_data, figsize=(12, 8));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ESS Evolution Plot"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1490.4x331.2 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"coords = {\"school\": [\"Choate\", \"Lawrenceville\"]}\n",
"az.plot_ess(\n",
" centered_data, kind=\"evolution\", var_names=[\"mu\", \"theta\"], coords=coords\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ESS Local Plot"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_ess(non_centered_data, var_names=[\"mu\"], kind=\"local\", marker=\"_\", ms=20, mew=2, rug=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ESS Quantile Plot"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1490.4x331.2 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_ess(\n",
" centered_data, kind=\"quantile\", var_names=[\"mu\", \"theta\"], coords=coords\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forest Plot"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x417.6 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"_, axes = az.plot_forest([centered_data, non_centered_data],\n",
" model_names=['Centered', 'Non Centered'],\n",
" var_names=['mu'])\n",
"axes[0].set_title('Estimated theta for eight schools model');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ridgeplot"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, axes = az.plot_forest(non_centered_data,\n",
" kind='ridgeplot',\n",
" var_names=['theta'],\n",
" combined=True,\n",
" ridgeplot_overlap=3,\n",
" colors='white',\n",
" figsize=(9, 7))\n",
"axes[0].set_title('Estimated theta for 8 schools model');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Joint Plot"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 4 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_joint(non_centered_data,\n",
" var_names=['theta'],\n",
" coords={'school': ['Choate', 'Phillips Andover']},\n",
" kind='hexbin',\n",
" figsize=(10, 10));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## KDE Plot"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Combine posterior draws for from xarray of (4,500) to ndarray (2000,)\n",
"y_hat = np.concatenate(centered_data.posterior_predictive[\"obs\"].values)\n",
"\n",
"ax = az.plot_kde(y_hat, label='Estimated Effect\\n of SAT Prep', rug=True,\n",
" plot_kwargs={'linewidth': 2, 'color': 'black'},\n",
" rug_kwargs={'color': 'black'})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pareto Shape Plot"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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mO81sYeBe4HJg3dKLFwRBEHRWiq2DWhU4Ka+cANL2ScBqpRYsCIIg6NwUa0F9TAsNYhPdgU9bOdYiZnYAcCSKZb0JHOruQ1o5dxtgALBSeq+3gDPc/d8z8p5BEARBx6JYC+oY4HQzWyO/08zWBE4Fji72Dc1sB9Qa6UykdJ4G7k/uwpZYD3gU2CKdfx/wLzNbp9j3DIIgCDoexVpQJwBzAE+b2VfAV8C86d+3wHFmdlx2sruv3sZrHQ5c4+5Xpu2DzGwzYH/g2MKT3f2Qgl2nmNkWwFZAi1ZXEARB0PEpVkG9kf7NFClVfRXgvIJDDzFjzWYb0DIfQRAEwSxKsZ0k9ijR+/UG6oDhBfuHA/2KeQEzOxBYELVdmoYePXpQV1c3MzJSV1dHQ0PDTL1GtejIskPHlj9krx4dWf6OLDuUV/6f1EmiBDQVbNe0sG8azOz3wLnAju7+SUvnjBkzZqaFa2hoYNSoUTP9OtWgI8sOHVv+kL16dGT5O7LsUBr5e/Xq1eL+YpMkSsU3qMi3T8H+eZnWqpqKpJyuB3aNDL4gCIJZn4oqqNQS6SVg44JDG6NsvhYxs+2BG4Dd3f0f5ZMwCIIgaC9Uw8U3CLjezJ4HnkI1Tn1RNwrM7DoAd981be+ILKcjgCfMLLO+Jrj7dxWWPQiCIKgQlXbx4e63Aoei1PWhwNpA/1xMaeH0L2MAUqSDUYPa7N8/KyVzEARBUHlmyIJKTWFXARYC/ubuX5rZksBwdy86SubulwGXtXJs/ba2gyAIgs5BUQrKzHoCfwN+D0xK1z0AfIk6QnyKXHBBEARBUBKKdfENQoW0/VCRbE3u2H3AZiWWKwiCIOjkFKugtgGOdvfHUJp4nk+ARUoqVRAEQdDpKVZBzYZ67rVEA9MqrSAIgiCYKYpVUC8Au7ZybFvaqGEKgiAIgp/CjHQzf8TMHgFuR22J+pvZYUhBxWq6QRAEQUkpyoJy9yeBjYBuwCUoSeIUYHGgn7u/UDYJgyAIgk5J0XVQ7v4UsI6ZzQb0Aka6+8x3Zg2CIAiCFvgpnSTGAROBsSWWJQiCIAimULSCMrP+ZvY0UlBfAuPM7Om0um0QBEEQlJSiFJSZ7QfcDYwGDgG2S39HA/9Ox4MgCIKgZBQbgzoOuMLd9y/Yf7mZXQ4cD/y1pJIFQRAEnZpiXXzz0Hr38DuAuUsjThAEQRCIYhXUY8B6rRxbD3iiNOIEQRAEgSjWxXcRcJWZzQPcCXyFlmnfGtgc2DstxQGAu79VakGDIAiCzkWxCurB9He/9K+JqTuaP5D+1qRjdSWRLgiCIOi0FKugNiirFEEQBEFQQFEKyt0fL7cgQRAEQZBnhpZ8BzCzWqB74f5oexQEQRCUkmKXfK8BjgL2ARZr5bSIOwVBEAQlo9g084OBY4CrUSLEGcCpwLvAx8C+5RAuCIIg6LwUq6D2AU4Gzknbd7r7KcAvgHeApcogWxAEQdCJKVZBLQYMdffJqJP5XADu3ghcBuxWHvGCIAiCzkqxCupboGf6/6fASrljvYDZSilUEARBEBSbxfcUsBpwH3ATMNDM5gYmAAcC/ymPeEEQBEFnpVgFNRBYIP3/TOTi2x1ZTg8DB5VasCAIgqBzU2yhrgOe/j8erQV1SBnlCoIgCDo5P2XJ9yAIgiAoO0V3kjCzbYFtgAVpuZPE6iWUKwiCIOjkFNtJYiBwEvAq8BZKjgiCIAiCslGsBbUXcLa7H1dOYYIgCIIgo9gYVAORSh4EQRBUkGIV1C3AZuUUJAiCIAjytOriM7P+uc1HgHPMrDeqexpZeL6731d68YIgCILOSlsxqHuYdmn3RWm5714s8x4EQRCUlLYUVGvrPgVBEARB2WlVQbn7J5UUJAiCIAjy/JQl33ugtPNlgC+B60KZBUEQBKWm1Sw+MzvfzN4t2NcAvAwMBnYgFe+a2dJllTIIgiDodLSVZr4BcEPBviOApYF93L030Bct+X5iWaQLgiAIOi1tKahFgZcK9v0eeMvd/wbg7l8D5wO/Lot0QRAEQaelrRhUF2BctpEWKPw5cGnBeR8DfWbkTc3sAOBIYH7gTeBQdx/SxvnrAYOAXwBfAOe4++Uz8p5BEARBx6ItC+pdYP3c9pbp74MF580LfFfsG5rZDsCFaOHDlYCngfvNbOFWzl8MreT7dDr/LOBiM/t9se8ZBEEQdDzasqAuAa40szmB4cDBwEfAQwXnbQK8MQPveThwjbtfmbYPMrPNgP2BY1s4fwDwhbtnq/a+bWZroHjYHTPwvkEQBEEHolULyt2vQVl62yDF4cDW7j4xO8fMfgb8DrirmDczs3pgFaZVcg8Bv2rlsrVaOP9BYFUz61rM+wZBEAQdjzabxbr7We6+oLv3dPd13f31guNfu3sfd/+/It+vN2qJNLxg/3Baj2P1aeX8Lun1pqJ+yCDqPn1GG42T0vZz2p40gfohg6j97EVtTxyj7S9e0fb40dQPGQQTx2p73Pc6PvxNbY8doe2v3gag5sevtf2NsvFrRg2nfsggar79QNs/fK7tER9re+T/tD3yf9oe8bG2f/hc299+oO1R+ri137yr7R+/1vZXb0u+sSO0PfxNbY/7XtvDXqNm9HAYP1rbX7ySPs8YbX/2orYnaTmvuk+f03bjpLT9jLYTdR8/Sf1Tg5u3P3yc+qcvad7+4FG6PntZ8/Z7D9P1+Suat999kK4vXDVlu8s799L1xb83b799N11fvrZ5+807qRnT7C3u8sYddHn15ubt126jy2u3NW+/ejNd3mg2oru+ciNd3ryzefvla+ny9t3N2y/+nS7v3Nu8/cJV1L3b7LHu+vwV1L33cPP2s5dR98GjU7brn76Eug8fb95+ajB1Hz85Zbtm9PCZvvdqh72m7Qrfe0waP9P3Xv2QQVW792rG/zDT917XV25s3u5g914pxr2feu8xeeJMj3utUdPU1NTqwVJjZn2Bz4F180kRZnYysJO7L9PCNe8C17v7abl96wH/BeZ39y/z50/85MWm2p8tRVP97EATNaO/gvqe2m5qoubHr2iqb4D6HtDUSM2PX9PUrQG6Nm/XztGHyY1N0DiZmjHf0NRtDug6W/N29zmhS3donETNmG+btydPpGbsdzR1nwu6dGvenq0X1NXD5AnUjB3RwvbcUNcVJo2nZtzI3PY4asZ9T1OPeaC2S267N9TWwcSx1Iz/Yartuq7dmNwE1NTCxDHUjB9F0+w/0/aEMdRMGEXT7PNCTQ01E36ECaNp6jkvkN+eD4CaCaNhwo/N2+NHwcSx6fy0PWmcXh8NEkwa37w97geYPIGm2Xun7e+hcaLkBWrGjYTGyfp8QM3YkdT2mJPJTTVpewTQpO9jyjb6/oCasd8BNc3bY76DmlqaZpsrbX8LtXX6PYCaMd9AbVf9XkDNj99AXT1N3edI219Dl276vadsd9f9AbqXus6W2x4O9bPTVN8TgDoaaZwwdqbuvWnutQrde3W1NTT+8OVM3Xs1439ovtcqfO/V1UDj6K9n6t6jqZGmHvl7rTL3Xl1dHY0/fDlT9562e1bl3qurraXxh2EzNe516T57vufrFCqtoOqBMUgZ3Z7bfymwnLuv18I1TwCvu/uBuX3bATcBPfIuR4ARI0bM9AdqaGhg1KhRM/syVaEjyw4dW/6QvXp0ZPk7suxQGvl79erVooIqdj2okuDuE1Bt1cYFhzZGWXot8QzQr4XzXyxUTkEQBMGswwz34isBg4Drzex54CmUpdcXuBzAzK4DcPdd0/mXA38ys8HAX1FR8O7ATpUVOwiCIKgkFbWgANz9VuBQ4ARgKLA20D/XcHbh9C87/yOgP7BuOv944GB3jxTzIAiCWZiKxqAqQcSgOq7s0LHlD9mrR0eWvyPLDrNQDCoIgiAIiiUUVBAEQdAuCQUVBEEQtEtCQQVBEATtklBQQRAEQbskFFQQBEHQLgkFFQRBELRLZrk6qCAIgmDWICyoIAiCoF0SCioIgiBol4SCCoIgCNoloaCCimJmLfbc6giYWV21ZQiCzkQoqA6Amc1uZneb2a+rLcvMYGZ17t5hs3LcfTKAmS1ebVmCjkFHntS0h8lkp1JQZlab/lb9i59BGoH5gDOrLchPIXtI3X2ymS1tZmeY2ZzVlqsYsnsm/X9JM3sBOM3MZquiWEVjZjUd8H7v8BTc8/Vmtp6Zda+2XMXSXiaTnUJB5W6WxvS3KXesXT+8Zlbr7mOBA4E1zWznass0o+Qsj42Ae4C5gA7xsLp7o5k1mNlmwAFokc2DgXHVlWz6mFkXd29y9yYz61FteWYEM6vGYqo/iZbGkNw9/2fgU2A/YLUKizbDZBOypFjnN7OTzGwnM/tZNeTpVHVQZrYjsAXwOfCMu99VZZHaJCmnxvT/PsCxwObAqu7+Q1WFawMzqymYBKwEnAd8Czzn7udXTbjpkP/Oc/uOAs4G3gO2dve3qiLcTyDN2s9Ak4JTcwuDdgjMbHvgB+ALd3+t2vK0hpmtDQx199FJuc4GXAGsAgwEHgPGuPv3hc9HeyR9738FPkHemy+A37j7F5WUY5axoPKumBaOzWVm9wAXAR8BSwDnmtkRlZJvepjZAmZm+X1p9r6QmT0A3AYYsCSajbU7kjupJdfA68ACwLbAB+ncdnXvJdnzE4LZs2Pufg7wJNATuVvbnfwtYWZ/BL5Eg+QQpKTaFWb2azNbJrddk/6uY2bvA6cDJwJDzGxXM2vIn1ctWnhezwf+AeDuk4BewDLAPu5+EzAyKaf69qyczGwjM7sEWAHYDVgJWAdYCDjOzOaopDzt/iErljSY15tZzxYOr4NcSr9095OA/dFAc6iZ9aqknG1wI3BzPraRHsbr0uY+wFXAXcBJZrZY5UVsnWxWmFwD85nZVma2lJnNkx7YE4HRwOLQ7G5tLyTZG81sBTO7HbjWzAaaWeaWuQjoAqzXkpVVTTLlWrBvYeSKPNLd13f3a9z91fw1lZazFf6LBr4G0O+Q3JEnA3e6+9Lu/mv0HFwArJedVyV5M24Ebsm5TvcCfm1mq6btZYF6YA0z2w843cweAp5IE4eqTnKyyWQLh2qRK/sPwOvpuXgfOAyNQWtUUMxZR0GlWdhwpPkxs+PNbIN0eFPgU3cfZmbHIlfN+8Dv3H1EVQSeliOAnwNb5/YtA6wKDHTxD+BQ4GPktmk3ZAOGmZ0DOHAMcC9wZTp+O/AMsLGZLZvOregg2cIgXlewvT+KMX0HvIQs1rvNrCF99y8Avwd+URmJp6XwO8ss1qRceyfFBNAX6AO8YWZdzGwzM9vOzP5kZj2rNcCbWa2ZbZ6bGO6BvtP8wLcZ0NfdjzCz2czsPGB34Hbg2YoK3DpHoOdzKwB3fwP4J5IR4EFkUQ0A9kYT4heB54C/m1m3ak1ycvfMZDPrYWbzZjE/d38YuBrphilxVne/EXlCDjez+Sol6yyjoNz9HeQ+utDMvkQzmh/T4dmBPmb2LrArsLe7b+nuL5myyqru+nD3F9Es8RQzmzftHglMpNmtVAP8D80kd7Qqpp1bC9lhZrYnsAGwrbuvCWwPbGVmF6VTTkITiM3TA9pUSSWVc98tmCy+yTnZ50aTg/3cfT93Pwt4C5gXuSYBTkDKafMU26mokk3vtXD6fz6YXWNmg5FS3SZZI6OAV4BbgbdRks1pwHHALZWWPceuaOKyIoC735Dk+7OZzZ/OGQ/UmNlewIfAmsDm7j7A3b+xKiV85O/5Vp7Xg9A9n03YTgN+5e6roUnmccjV+hYwf+HrV4pcAsdA4F30e/zLzLJJwllAb9JnyU3s9kGT/a1asb5KziyhoMysW/pvDbAy8CiwpLs/n/Y/jGZljyE33x3purmBPwH9Kytxq/URJ6MbY0Dang14B90QtdlMGSV5AAys1I1SSC47bCGYknW1P3CDuz+SbvbLgGHAc0n+54C70YC/RvY6lZTbzP4F/D3J/hszuz4d6g0sAjxuZhuamQM7Azu6+9+TrEPRrHgfYO1Kym9mvYE70SCYV7bLowFvVXQv3w+Mdfc307nnI+V0Osoi2xfob2Z9Kyj7uma2SpL7GuA14E85hTQADXybpO1RQB2aiB0KrO/uT6bX2p3mCUNFyd3zmWLPntf90/Ef3P2F3ORhkjUrRhUAACAASURBVLt/mcanyek7+DOyAj+twkcANF6mONOOSZ5BaCJ2uZlt7O4fAhcCx5vZosk6r3X3V5AyWwmNtWWnQyqowkHZ3cen/54L3IFm6Uvmjt8EDAUWAzYxs7mTm+nvaHb2XiXkhqlnvml7vkzBuvuXyHV3hJktnbKWXkQxtLwSnQ/dKBugAHhVMLPfAXeZ2S+AHiggP8rMrkGTgueAFZJ7IJtEnAL8EuhnZvUVlDV7oI4H1jezt4Cb0WAJmtFOQvfPP4AbgNXd/TZTmvnG6bzTUEbTV5WSHcDdvwGOcvfCxJ51UKbVuu5+d3IFT0oDyifufqG7P+Tuz7n7qHT+bSijslJcBSyZe24PRtbqumbWNVkjtwLHmNmCyPJ7Frmyn0kxzCxTbm9gCTPrWkH5p2Bmh6F4TPa8no7cXlMSPfKuO1NSwfHI2vov+mz7V8q9l33nBdbyHCib+Ux3v9Xdbwb2ROPgUemcgcBY4LB0bTaZ2SpZspMqIX+HU1B514yZ7Wxmu5nZhgDufgvyaS8J7FzgCtgTxRbuQr7ip9CAtJm7v1BGeRfMb+dmvrukWfqtwNOmQr4adz8PWR0D0yWXooH/RjM718z+ApwKXA7MnbMSy0YLrrzsvpkMLAoMc6W9/wwNRvOiVPjD3P1bU4r8yWk2Ngw9HKe5+4QKyJ4vtK1BlkZdknVddz8XwN0fRz73hYBN3f00lNQBSu3fyczmdfdv3H09r2DKcy4+4ElZnpQboNcFGoCVzWxAOvYg+r4XS9dvmu63IcAfkZU7vqX3KofcwHJpIJxsin88gerhjkFWK8gKWQxlvY2i+b4famb/MLM7gEfQczvQ3SdWQP6Wxse+wKnW3E3kYjRhOa4lb0Z6Ll5CE+QV3P2AvGu5XORckdl3nreWl0Rhg8wTQ7K47wfmT1bUeKRYD0LPclP2euWWPU+HU1DJxP61mb2BOivsBTxkCv7+zN1/RLOag1EmTXbdUGAn5Jr5Cxqcfu/u35VDzmRG3wAcnVlI1pxCe0yS/TKUMfM8MBjNDgGOBHYws37u7ki5XoiCsv2AP7n7vV6hWihvToD4ecGhR5GSz6y7s9PfW9393XRNN+TCWQGYM73eY+4+sZUBoCSYgvE1uZlq1/Q5Hgc2RmnAG9jUHSFORPHK7UzZe4uZ2ZnITfY6muBkr18216qlBIK8qyh3eAPkyjsmbZ+JXMFDUMB+IWQdbYLuI5A7dQCyxhd293vKJXsB2Xc/Mbn57kRKCFQqsTywtSlpYyTyHhxsZisnd/AWad/bKPb6c3c/ulKuyeTaymJ+ebfeMPRc16VJ1tHALqQMw4zcNf929zPd/aNyy5xTTNkzezjwvJldYWa/Tae9hbwwyxY8g08jT8LI9Bo3oM9Wtbq/Dleom1xzlwIvuPtRad9AlBY5MH2pmNlHKGvsGDTD3CUFKcstXwPK5BkMjEEuiom5412R++s6d/9b2ncLGuQPB/6WHox7Ud3NlmlGiZl1d/eKdDBILqLGdAM3oYDpzSiGcZu7/5Csw6vQoH92mjzcgpTRd2jGuyOaCO3n7o9VQvaCz7EemgR8jx7A/7j7/8zsfDSobO7uryRl1mRmh6JAfi9gAkpS2d/dh1RA1vnR9/mKu5+Q278OStDYA1l5x6GY6pbu/nGylGqR23Giu49LVtRb7n5Yet1xXoWMVTNb3N0/NLOlUTz1IBQDHGNmZ6XPtIW7v5TO/wTdN0cnt2bVSG67t4Dt3P2O3DOxA3IBr+fuT6dz70Nu7i3dfXTrr1o2WWuAWp868ecPKMZ0M3Kpzonu5cfN7MK0bzNPheempKvbgN9mv0e1abcWVBsz1EkodfloU1bNmWhgnxPNfLMU4IPQjOZ+4GWkpMqauZQGiseRYnnH3Z9IlsKWZpbFxFZCRas3mNlRZjYCDYbruvtVuRn/USheMKW1USWUk+XaQqUZYmOajf0TDYxHklLc3f0zdA8tmZvV7pvOeQu5Eq521bJUVDmZUqvPQ66kz5CS3QnFHXH3PyfZ9zGlkWcujMHI+tgC2MPdl3P3IVaBnnbJ/fkjsLqZ/Sp3aBPgPXf/Iln896DuCsel6z5y9w9oVk6/AxZEEzTcfViVlJMB75vZ2smivgTd10smuY5F7ta9zWyedNnhSGmtXEE5WxtrPkP1TqfCVK3SbkWuxlOsuaD7SORu3aW80k5LNrlK7ryFk6t3OXTfHOEqNN8LWaLnpMsORWPp5WZ2oplticIGz6CJRLugXSoomzrOtIGZrWHNufcfoSD2QsB/kMtjAzT49EdJEF2TG2Mr5M5b3N2z7Kdymoxzo4FhqzSz/ZmpcO9qmhXNK+m875LM+7n7pu4+1Mz6mApc50k+4QPQbLJsWEGwOfe9Hwn8x8xuMrO93H2iu5+NElE2N7PbTA1fbwLWz13/Q3I/7gvs6inGY2XsrdaK4lgKKfh+7v5nd98PuS42tOb0/ENRtfxW6bv/PzNb3xVneis3O87qRsp27+QGybPR/fF7a24uui2a+GQ8hbIhNzQlDmBmvwQGm7qO3ABc6e63lUveIqlF7ussznQoCtDvbs11UIcji3Xl9NzfgdzzFZnQJKsou+fXTpPJpQGSJXQOsIClrjO53+liNO5sms6tyPPaEjl33kGoBvF4NKFcHbl1SVbSdcAiZnZgumZbUmkCyph8yN23TWGSdkG7dfGZ2YroQZsDpTSOAg5z9wfT8f3RTGv7pAwMPQxvIFffw1WQeRXUceBV5Ob6zN13NLO/IYV6srs/bWbnopt5oXwMLCmFpYCTXBlC5ZS1JxroBntKo077e6HEjcXRjLcfutFvzZR8+m1uT5/zM9Q66pj0kBa+Ty1Q1sE99179gBfdfaSp7+K+7r5hcnWchYLZJ7r7Q7lr7kJxkcVRRt+2XqF+Y+m7maoeK+0/E33vp6FA9sOAuWqAuriy9JZDyqzR3X+brjsfuZXPrsYgY2YrAB9k750mJQ5c4O6XpH37obTmLdz9v2nfuyhutqW7lyW70Nro/mFmSyDX6tLIFTwHcIq7X5l+oxORIl08k8+a48jfoNhYxbIiC58pM/sNykZuBB5A2Xj7oPtnw9z33BslX20O/CLzyJjquMZ5O+zv2V4tqJ4ohvM8CqTuhAbTG625mGwjlOUzMm33Q9XbABVzZ9jUQcZ3katxAHrgMqvpUppnxV2AvwFfA7eZ2UHJSvw3Sl8dUm7lBFNmh++hAsm+uUOrICtwm+Tu+h0Kyu9vZpuka4eiB+A7NNvdAsVrWnqfxlIoJyvIxrNpu0KsBDyEsqxIfxc0s2eQ1Xc2sI67P5Qs29XTebuhDLKN3P1X5VZOZrZamoiABpls9p7v7n4JijVtkeS7NovHJOVU4+pc8C/kDjwgXXesu59YCeVU6BZL3/9Q4MzsfnIldzwJ/CY7z93/iopvD8zdd9ugrM6SD/LWnGjSmNy+y+fciSRFfyVKwlgBjTcXAmeb2apJqf0VTcSuNrMVzWxR1PVlYzQZrohyytzM2TOVPEv90eT3WDQmvunuX6FGtf9Glh4wpVThJtSCKb//q/aonKBKCsqac/Nbq2VYHd0sF7n79+7+pLvvg4LAB6dz7kZK6a9mdiOaGZyDBqEXyyk/TH3jp+3Dk0wfIrN5eM5n/RKa2ayDZo5vo8HnR2QFDkYD0grufj1lJve974fSxPfM7VsamNeb06gbk6voAZozx0izsgOQlXu2u5ellqxggJlSN+XNCRwZKyLfuaft61Cm0mRgJXe/1N0nmLIK/0Cqw3L3ke7+lLs/Z633JyslewJ7mNl6aZBZztT77yZTKvg8SUnejmKo+wAHmdm9pvZda6BgPGgAup5Uy+WVSdvPr3PUxcy6J6vuFXQvr4gmXll3hbeBRlO9X+aKPQC1N/pVsmzecPf7yiBrTcHz6cj19YaZ7ZZOmwTc6+67JkUzAE0Ue6HU8Z5pwrgH8CsUXngbxc6GuPtlpZa7Nby5ULiLmR2PLOv5gPvQ5LzRlQ2Ju3+NxpUlzGzf3Mu8isbJirsifwoVc/Glm3MxdIMcAjyRM1GXBL5PXypmtjIK1i3pyriazd3Hmtk2qE1LH3f/zpRxtSp6YI9ztTuqKKYMqd1QEHKgu9+YZsi7IDfBv3Ln3YraMR3v7l8kpdAd6OkKkFdC3prc994HDRZ7Av3d/TUz2xXNxvZ1JQfUpcFoZxTPW81VHZ/tL8vSAYWvm9xeO6OamtGmhpt7Ane4+yVmtjfqmLA6MCk9yKelz3c4SsNupHmmeZS7/7PUcrfxebIMsJWRa+hrNFO/Glkec6MygrtcPei6oKLh7ijRpytyzSyPJjMPo/hl2euBWiIN+HujjgijUXbY12a2SJLtfeRimh0lGiyRfrfsvjkAZbKWNePNFKO7ASXJHI0mLDsi62dLd3/S1OqsC0qgWRJNdr9HxfDbAve4kp0WRy74Lz3XeLeSmNkhyB3dE7jGU3apmW2BJiybZeGN5IkaiMamuSvhZi81ZbegcjPgJlcLjQVQplc3M1vMzJ5DN/R/05cM6sU1FA04uBbsA7n0RiDzOsu42sPdt6m0cjLV2RxG80x3G1fHBJAl9RHKEMu6RAxDD8pqJNefK/FgVKWUU3rPJjNb1dRJIQuk9qW5vdKryK++dTo/i4/8Erk5Rub3p9craYZbgRLd3syGo4SXAbkB7R3UvPUUM3sC9fl7OQ3YWS3Iiagw+wzkDnsSWea/qbByqiNV4rv7y6h+bBEU27jJ3XdDA+E1wG/NbNPkHrsaFT3Xu/u57r4hUmJHoOysiiqn9Dv3MLNr0f1yXvrXB7nf13KtN7Udip3dg1zes9Hc8ST7bS6rgHKaC9Ut9XL3xdz9NlcSxq5Iyf82yTIS2BJNErZ3Zel9gyY0h5Hcxu7+obs/WAnllMaXlsbn8ShDeUWUnZzxXzQWDcp2pO/3BqR89yybsGWkrIWSMMUVM5uZrW/K+toMxZT6oQf0aaTh3wGuMAW630Jf+OamGpCMNVH7kykuvEo8pC25fZLroBHdvPO4++u5z/wOejjnY+q1m/6GLKjPyi1za6RYxzlIEW2KfoMzkDLdKD18DwCbmdkFZvZzU8rzxsBj3kKqu5c4wy0pvUXT5OUy4Cx3X9bdH8idk9XBrYH87Qsi19mfmbrb+IFoAnEQGnzWcve30wBQ1rTxzGXo7pOzz5QO3YhilP1I3bldlft3onv/iLTv30gJb29mm6d937q6MpSlwLxA/qkyL9Nv3BdZcdu76vieRG2sFkexDdI99CfkDrsSzfYXTccq0iInvddIVGTdPfv+ErUofpoPMWwLjHL319P2ssjjsRq6typGZm2nsXNhE9lEN0sF7wZMiaW54o5/ARY2JZBlvIGSOK6u4EcoGWV38ZnZ0Uh7v49mUQshn+lyqFfbrp4CdGb2Aorh7I98wGejmc1N6KbaHmW4nV8u11IL8udn85ugws3P3f1dU5+tC9FAv6G7v2NKcZ9oypg5E1l7u3qqIk9xj4rECryFtiSmdORnUDufzD1Qg2b1tUgRdUcW1GCkTBdBMZ2DKvSdz4mCuH8AFshbmEnBbpIG7ym/j5ndjargh6FuIXejAsVHvaCtT2vfTbkwNdS9BFkaJ7j7w2a2HbI+rkuWXnbubijWN9jd/2rqaHFKuu7lFl6+HPLmF26sQS6xx5Jrd39gN3df01TsuSeajB3nLXRKSF6Grq5anIpj6hRyJWrXs0zadwjK6twKeCQpgt2Qi+90FDLYCdgBWeVjqiB3T5ScsTZyoX6ArO1bTGUSWduqm3O/VRfkVj0amNNTgX9HppwW1GJm9h8U5D0G+as3TBbPXsi66IoaEmacihIJtnH3D9x9OzS7b0Spn+t6Wi68Uv7UNPitaGavAv+HTOjHzWyXpFivR374vdP5E9MD/g1SxPOSXAnpeCWUU76ObCVTGm3GcKRke6Tj2Qqfp6HvfnvgR3e/Fk0idgeWcfc/pe+i7G5hd/8euR9fJmeBpsFuGLClpT6LSaY5kevrVHf/DZrgzI/qs6aZsZdSORVaYYXWtqkA8kVUWHs8cv2C4hsPoYapy+cueQhZJSeYWa9kKfavlHKCqRJ/9kZu9YNJ6x6hlk+/NLORqJh2K3ffyd0/MrNlTG3I6nLfy+BqKSeYEh44F2V0XmJmT5Faibma6GaJTNciC2QtdN/s5krOKrtyMrM1C7bnQO7e+VAG5HbIErrJzBZy96dQfPJokmWaPsMkpNROIbeWU0embBaUaWHALZH18EFuf2ZhDEKzlE0913jT1BSyASUSvJD2VcRaaok0Y/8XSkM9wJXmexYKvG/kCrKeh2Y6x7r7Y9Zcq9IFWNErkFWYZM3PfJdGludCSCFdgorxeqHYxvfuvnPu2nWRW/VNYGvXKpr5165DadFl7cKcs4iyLtBbJrkPQS6kU1zd6fNy1Se5D3P3u/KvU05ZC+RexluIg6Z4TROKlTYVHOuHYmeveqoxS/t/h1yXZwGjq3Hvm5JQTkFegFuBbq46rGXQJG1Bd18hd353ZBEOA86phOu9WNJzeAT6LJcia/T7pETz/RoxsznTBKkSctWgzhoHoPq7bLxbHbUcWtmVDLYpcnU3oeVfXjSlyn+GfqPBLbneZwXKMhs2pZgeg5okflBwOJu9HoGCp7tZc7sQUExkA7TyatbFuRJupdbSizdBRZL7JqVzEprV34XiYSBX0giUrl3rzbUqk8qhnDIrpnD2nlwVc5jZWshyfYSUio96ue3iSpl9AFjezAbkLl8UPbxzICU2FSmOUvYlArLfOlmnd6Fg9RXAtSiD8CaYKsY5GWVWLYoSa6Z6nUpYfKZswavNbBFTbcqNZtY1WXa/RxX6TdZcXpGlaj8CPAGskiytjH+7+3GuBJqy3vvWwnIM6TvbI8l9FbKoszqsd9DguYiZDTJ1PtkI3WsbAE+XQzlNz1Jti2RZ3ILSzOuScsqvr5Y/t2LKKf22z6H6yfyzuAyKPS5qZo+gRIcrUAbri6aenN+i8MKZqFB+lqRcD++8KHMki7tMeZ80iNanG+NY9MOsnDv+Foo9XOoVCKhaKvrMucQWsKk7XI8DhpvZH83sA1RU+Ad3397dP0vxjJdQXGdNUkfjcg4sObdES+9xDCpq/jVwibu/7lo64h5grzQDvi5tX2Zm95gW8bsYBbUX8zIuP5JR5ADzHEqd/Rh1iPjBUi1Uuo/mTzPJMSir7ZOWlHaJRW+Jf6JEgAeRwvkKzXZ7ouSfLGkj+90mW3NN143IAtw6p3QrElvNZEm78mPBgmg5klfTOfl4FMgy3w/FXk9Fg+cbaDHQsrQoyk04Fso/r2nfdO8ld/8YWaR7m9kv0/1T0RWFk+szG1uy934cxX9XNJXRgEoQfp+OfYa8MH9x9VlcA2Uh4u7HAAd6Cx1cZhXK4uIzM0Mul8OBy9pSNMknPBbY2VUBXRVMbVouQdkxDcgf/S/U3PU6ZFUcj3qcZS1CdkMB4KtMVfG9vQLrBJkWz7sMWUV3uvv4zK2Yjr+PAqsbeXNrlqXQg/B3lBU31lTztCIakE7zlMFkZUwiyA2M2YDza+Abd/fC85LVsQwaWOZw943Ssa7I/34qctecWQ5Z2/gMUzq9p78bIuVeCxyS4hnZwJm16zrB1TU9qwPaFiXbPJO+g2fL9Z0XyD6VWyu58vZHk8kH3f26tP9jZMEe6Spwzj7rQsC3rm7kPVBq9nhPNYylljWvrE0twlZGGXcLJtl2nYHXmwvF/uZw9+Wnd34pSePDayied3O6t7NwR18Ur/4f6pw+zlQ60Q2FQEam11gAxYo/BQZ5O+3+UErKYkGlwWYIqvdZAFo00c8zLZNxOArGd6dMtObmybk3NkYP4+vINXYV8gufjmbEQ1GT1/tzymlFVIy7VLIIv6iEckqshWJLB6Jl3+dKbsUsbfZkNGtfOacQ3kNust8B2QKP17n74ckazKfJl22g9OZq+LXNbChStGuZspamOi/9fQdZKH3MbA9T3OYj5ILaJK+cyj0jtlSbkrPKspn7hyij6vX0WXon2Sej73xe4HxrXmPqMBRXWyKd91QllFN6r6akaOZN3+XJpIXqUE3ZXunUC1Ey01rpuuwz74c+K64Egs9LrZzylmSyOrLOGTci99fDKPEkf89PlzTQH4OSnSqKqzvIm+iZXTTtm5h+gwfROLk0za6+o9EzfLOZHW1qVvscyqi9vjMoJyhvksRvkAVyBnI1fZ2bhf0czX7/6VpuuFwyFM7ANkKZgzXIDTY6yXMB8DN3/0M6708oxfpKd98/KbCjUbHqv9NrbIcGn8O8uZC47KRB+DDkPnoNKdTuwO7u/r/cea+g5qh7uvvwtK8bchnchmafY3LnVyz12sx2RyUEV6KEjdHewto/OSuqD5os7ElaD8lVpD1VvV2JZWw1ycKUqn9UkuUJ1GngWzM7CqVkX+xTN+DdAgWz+6ZralHK/t2llLk1WngOtkTeAkftxO5Ns/MjURbnImnwfAZ5E55F1vcepEHU3e+vgNwDkIK8B9WIrYkG84lo5d3bCs5vtSFsNclZzQsjd/XuKFNzMEquGoTcpscgpfRH1xpamyNrsS/y4Fzligl2GsoWQE4P32C0Zs3fTE0N+5nZ6aiV/vfoxisL6Wad0u3XlCZ+Opq53omCkFkK87ooyL1Oco8dBOzk7vunz/Iw8gn/X5K7EfiVuw+otHJKn+lblN57J2qzVAdclCYFGQNQa5x+1hyUH48sqGO8IH22HMqpMDaQs2RXB+52NTb9GBhh6i82W/68nBX1Jc0tsubIKacungoaSy17UozdTfVKU6wzUxurp5FbOusOfUe67GIUf8qv/4W734us1rXRhGHRSiin3O9eqGh/RHU1K5AaLLv758hCGYOeEdDgeDNgyDX1GeqCXVblZGb9TAuO/gllBU5yJV4MQ9bbd8AKZjZ3Oj/zEmRuy96F91418eZl1z9Fqx1cg/p1jkL1Wae7uuzcjSbP2bhzv7vvhTL81uxsygkqU6h7BJp5zYdu8EkohfzBNi8szXsvimIAv0DdE25HwetJ6CZZET2E26H2S8ORy2mQu/9oSp3dEPjE21Eg0rSS7X9R6vKQJOc/0AxzAPCwK1Pp1rRvY09LsOdeo6yzzfys3cwWSANgNmj+F80kh6DBbx7UiHMI6i+XZUE2tWTJWC7eVk7MbCc0aK/sWq/rZ2hyc6u7X5TcSyugYPZZ7n5GUmhHp894KpoUPeSVW2Y9kz3//W+A3Iwfe2qKi1zY56J6oLvTed3T/oFo4Hw37a8HZvMKZLiZyh0uQRbFYFTaMD4dyzwwJyBFdXhS/vnr90QTzH28QuUdxWBTl4AMQ+66HVO8KbOwuqJ7ZgfkEXmiiiK3CypRdHkequlYEiVCrFoh5dQLueMWA/q6+1nu/r6rAPgTNBsfipIGHkFp4ke5+2nevFzBusgPP/u071BVGlAc5qOkhO9GrpDX0BLP56bzBiBl3FqrppKQj/HlZ+2mAudnUJ/Fh81su2SpnQbMhR7G2dJn+RtKiT8yuz7/N/f6NaVWTq3FKNH98yhKmAElBKyFlA9oZv8S+jx/TvLenq7ZFHVP+Q2yVipK+v4XMrPH0GC/P/CQmZ2N+uP9E8We/py7Zhz6zG+jiV22f0IllFNiS1JpgbuP81wXkNw9ewZylW6fJmt5XkeTnnb1zCbFmrWOOgl1bFkzHcssrIkoieN+ZC12esq2ymkBP6aBZuR0zywR7j4iWRCbohvhsTR4NroCxa+ZiijPRbPgG4ELTF3HX0H1T3siBVaR5Idi40CuXnKLo64Di6MbelUUc9oC+IeZ9UgxtbLWSJjZxShNer8k22RTXdv8yJJ4HrkzNgauSw/pLchNNgbo4soS64ncqG2ux9RaXGhmSIPHfCgj87Pc7zAWZW4+aWZboyD3O8hV9xpyxzQh6/VoM9sizehPQR1GelVqFtzKvXMsciOZK0V/S6SAhrn7hWb2D+BEMzvY3S9K13yI+tfNXwm5W2A55MIbAZDiMMuj5ICxqHv9M2b2F2Sd7mBml6NB/z53f9zMehe6sMvBjHohsomVayHEg4BDzexNV5JJVoLwJIpPBVRIQZVjUCmSS5EVtK+ZDclcRzn3xxPoYZgHBb3rUZB4WzTwbOWpX105sYKaFGsl9Todyx6Ku1E86Tc+9erB/zQ1d/0wd01ZEiCSwr+H5vY9meV6C2qb9CDw5/RgZsrpAJTo+XI6v3u65kSUVltxt0yKZWSNWveiufN4oynTcBharnxnlFiwtpndmyxx0CRhIkm5Jgv8dSpAdj/k7p3dkQX0MYpBbpKU0yHIOn0M+E+6/BHkWt3LzG5z9y/TvVXNpeIHo0Ly/ybvwDiUVt0b1WbtbWbzu/tNpg4Lu6LPVYNc+FRIOe2CFOcxaXsl4LXpPWc59/QApIjuMrNry+lu78i0yxV1S4UrrfRq5F78Q9o9xTefApMTgNo0qGTrCW3v7mtUQjklOYpKvU7nZjdyLSqkbGmG/py7f2VlSBs3FTK/bmbLurpLPOhqnJutUDsKuYd+QOvmTLLmotRjUPPcVdJrbY9S+p9DXaN3rEasz9UZ/B5gGTPbJBcrOBDVpnyBrPD+KHa5NFpxdZFkeW2NlNsnLbx8uWXPZJ3XtHDnsTSXbDQBG5jZiyguc4y7b+Tub5gW4vsauZR6ojhs1XH3h1DvymdRUtIeaK2plVCGZC0piQC56fdDsdj5KhVzSs/VWui7PcXMJqLOONNNeU/PQ627P40mCr+kuWg3KKBSLr5q8i/kOtrRzB5092G5oOSGqCbhvOzk9MB/XGkhreXU62nWy8lZUE+gwXKamVdOAZcyzpRZYZPQIHE2qQmuqdnps2b2R9eCjY8l+bIlIiakmeMnZvYSaolzJapnWQqlzz5U8PkqTWZt72BmjcjN1YBiNDcgC/ssVLh9JqoT+g+KdYxAbaTKvGyvHgAAEJRJREFUvgQGTJW2XIvii9kaQJOA9dM9vjiybC9Ncv8li62a2fpoNduzUDztN64OLu0CV0JJS0klNeh+/zadN5K0XEm5MTND98I17v60qRH2XsiKOsRbWFnXWi9VyBRSf29HPQvbI7O0BQVT1os6H9UR7JP2TTZlZO2ACnRvy/aXWx6b+dTrbPD+EVkrZa+IT+6hLJX6K1SHtYU1r7HzIVKqp6SH8jPU/qaXmR2T5J5kKrhsAN5N541w9zNyyqmuWq6OnLW9AYrp3YIy2a5Pg8zVKHh/gmuxwzVQJtlurrWqXqmgrNl92ifd3/Mi67/G09IkyTvwJErUGJpTToumc5dH65iNa0/KqTXSvfM75DV4tMLvvRC6//dGNUyg7/xJFJP8Mp031bOdvCJZeUJNbn+22Gcop+lQsSXfq0m6OS5AaeUDUNX2X1Fa+QBvXqSs7HJ4CVKv0zXzAXgqwi2jzLVIkd8IbJCC0NlaNat48xo7yyKr6SJ3PzXFlY5HrqULUVxhU5TOv43nera1MdOsKKY03xtRScTWrk7SU+J3pvZEtwFrJxdNpeSqRenW+WLb64ClXesy9UFJJ0OBvTNLLllRR6CZ/mNoIP09ij3t51VsLVYMZrYY6inZA8WZJqA6sucqLEctSooZj2LW/+fu/zQlVF2CMlF3dXV7z6eTb4GSPi70WbTbeLmZ5S0omOLyOg8lQQxF7oO/uvuvy6WcrIyp1+n/w919uLWeIj0zsvcxs0/MbKX0sP0bpSUPTu89GtWV9TWzw9Nl76GMyGPMrI+7j0BFni+hmMFayIW2uRc0FG0PygmmzGjPQ8kaB6Z9eav6HtT/8L0Ky9WY7p2+ud0PAvVmtqirkPlKZBX9Onfdh+5+AIrTPEVa5tzdt27vyimxHPod/oiWlPhFJZSTpYa06f9ZY+sHUVz1K2BXU3uxYSiG15u0HlwBO6GastXKLfOsSqewoDKSq2o+tLBd2WY0llKv3T2/2F6Wen0ausmz1OttUTr7LSieUZh6/RhqFXVtueRtQf45UAbjdbl9q6GC1MNcK73Wo8H6EGBRV1r/AuhBftXdd0lumT1QHdF6rpqhFi2C9kLO2l4ZONhVoFuRwuACOQpXtT0WpVVv4u6PmNk6qB7oXG8utH0ZpcIf5+7/swq2ryoXpmbB71fi+zctj3I1sBGK2Z2d9teg53YC8rrsi1a3PT89K4NQJuchrp6Wy6PfoQ9aIuOhcss+q9IpLKgcF7nW2SmncspSr8/P7euFLJDXUIbVn12NWv+I0psPAFZy99FpUOqeXHhnU4XUa3f/wZu7Wv8y7X4dBdxPN7PZXSsDX4WUbbZi6jA0Y9zJzNZzpfs+iGqhzkyvl7UnanfKCaaytutQYgSVVk7pPacopyTTXOnQnqbVnIegwuHFc5ediWq0+qXXyC9J0SEzxdz9nQp+/wuhusExqK7tOFO2atZebGukwN4AfmNapPIHtKBjV9Qu7R8oTraaq4F0KKeZoFMpqHINijYLpF4XugpN9WJnAC8nN8c4lPY7Fs3cAT5HM8s9zWyFNKj+B8XNNk7nfID89Bub2Y7VGOxnlJTkcQfwfLUGdjNb2cxuRnFI0MD4PkrU2MpUOHw5KfEHwN3/gVLd9zOzRfKv114nBO0Jd38DLa3zMorT9QZuSRPMB9C93wc9y/Ukt56rDvFYVOD/NbBApeNksyqdSkGVmlzWTj71OjuWpV7vkgblVlOvkbtvg3Tpw2gGtq+rFuutMsWZVkouOUzr0hSuLNqEHsRhqIgWVDB5JnCgmS2dZuj3IKV0ZbpuBLCFu5+Qe52nUWxtqn6A7ZwL3H1wJQb2wuyvxOeofu9oUxHo5yhrzFHrouuQVdXFzFbJXbc/atlV8ZqsWYTbUYZsT9TY9UM0MTsIKZ9uSHk9DaxpWukg6wBxgLvvn2JTQQnoVDGoUpLiWRu4+1Zplr0xSk/e0t3vTzGnwUjxLJWC3P3QzPysnH+7B7rhHwJOKRwQyxFHSLI9A4xw9/XSvt5oba4P0Oq1r6astj+hOpql3f1TU3r+XcBId++fPvsmaMBcw5UiXzbZZyUK4kw9kGvudfS7jDStnnoIasW1IXI9vuRqU3QKzeut7V/JGOWsjpntjJ6Fa9DEa1/k7l0A1S49kGKyVwJPuPvB1ZJ1VicsqJ9Asmi+An6bYi2ZlXALaakCV93JBWiWm1kgL6Gb+hQzO8dUKHwycvE97lOnERcuyT0z8ha6qcYg1+IaZrZJckW+h5TsUcDDZrZQymq7EXVJyJZg+AbFmTYxs62TzI8C8+eVU6lkn5XJKacjUYnB2Shml1mjzyEF1QX19+uCUv5BFumVyNXU7t2mHYx/orjvzmhidjHKpB2EsiFx9xfQcuuhnMpIWFBFkmpNnkPZba8kK+RaYAlXG5YsoWAIMNDdByUL5HCkhBZ39y+TO+ZilBJ8NurefJi7l7wi3qZd3nsJpFhHJ4vudrRC6TXAcHe/wbSO0Q2o3mOr5IrcCj20WR1UQzrn85TGnL1fWEwFWBudMdI9dAKwGYrl3Ydq9R4Hjvbmda9+jqzxGpRGvp67v5gyyGbzMtfCdUZM3TZOBd5y9wEFx9rlwoizImFBFc8Y4ERPHQOShfQX1AUlSyd/Gw0kJ5tZr2SB3EBzh+jsnBvRYPOAu6/l7s+alhMvWUA+y/5yNTxd0cweRW2fnqY5VnYaKgg+EcW9cPf3UaeITYGt0nkPI9fkX9M5o1BrnynKKe3///buP9aruo7j+JPAEpaQyMQ2UmvTt/mDtRiJZaSVE4cmzh9lxEqNYWoNVHRlBM5ysmlrw2ZNnYNMMWfMH9xACS8G3QaZS1b0nqzcYruB1kTRuvzsj/fncM893/vjey/fy/dczuuxsXG+3+8595z74/v+fj7n/Xm/FZwK0vd/vKW2EIX7if8j7nfM8ahOcQIRsI4CFlkstMXdtxA/sw5ijdwZ6fG3FZwGh7u3EovnJ6YPaN1Vc5FBpgBVp6GWeu2dHWGXpa+1hWh/8RqR5PBtd3+VCDpHESOm7NNhG3FP6U4zG5ubrjzOzLI3x13p9aXpXFpG1lkp/U6oSR/fR/Q92mhRmHY9kc48mc7fG9J+LxIJEDfoftNhs5xYbjDDmliGq8oUoHoxlFOvLVpb3AfMJEoL3ejRqns2kZTxzZTq/hBRAueOwiG+TywszipFtBHps11S3jVq6p13rZT+RTj4ISAr6Lsjja6uJhaHfp1YL/cvYKaZfSF3rG3u/rPDfhEV5VGj8GaiO69+z5tAASrnSEq9TkFvJZHaPjVd03B3/zcxtbSL+Pm3ExUK5pjZWWlK6n0edQKXAGem78WBdD9KI6b++ynx/b42Gy0XpnNPJ9Y7/SJtjydGUq8RZX6kSdx9g6uoa9MoQCW5pIfHIOqymdk4M7vbzK7LTettJUYm883sxBQIngI2kWrVEe0X7gNOtqgeXTMl5tEcbpGnxn2Dwd1biOm988xsqkcV9zOJN8P1HpWs9xNTUOvobDuSTTX+wN1n5P9A9Umy/7yzUvop5PqS5V7yOtFzaqmZzSJqGO4Eprj7Nw7fmYqUS2Wz+KxQQTt9or2IyFb7EtGefjURkEYT7TomedQ4O55YWf4Pd788tw6qBbjS3VekDL59zZ63ToF1MXE9bxFvkMuKCQ4p5X0NUcX76cJzys47ROn34VFgDNFgr926VkqfBnyP6Br7W3e/qXlnK1IOlQtQVUy9NrO5RNuFDqKa9V/S4/mFoiOJjqUr0id+abC03mwJ0ffrh+mxE4gyOZ8iplrXeTeNKkWqqAoddQ/KjZoOmNkniIV344jplhYiy+0uYnS0APgsROq1mc0jsqxmED2B8qnXp7n7OxZljbq8uTQ7OCXLifUzx5BrrpY/N3f/L/BIeq4U/ZmOQJuIZJMLzGwNUej1XmAf0cdpdTNPTqRsKnUPqqqp1x79glYQVS3mpMd6DJwKToPDu/Yl20BkUP7Y3T+i4CRSq1IBquKp108RzRpnWRQflSbwqJS+nLgvONbd7+1jF5HKqlSAqnLqtbt3EEHqV0S3XmmeQe9LJnIkqFySBICZLSaqjN/q7i+l1OsW4HF3vz295ljiDX2Pu1+Y3ZfR/RkRkcOjqgGq0qnXKnYpIkNBpab4Mu7+ZyJT71xi/dLZWXAqlDdqA64jFrEWjzEkgxOo2KWIDA2VSjMvUOq1iEiJVXIEBUq9FhEpu8oGqESp1yIiJVXpAKXUaxGR8qpkFp+IiJRfpUdQecXmhCIi0lwaQYmISClp1CAiIqWkACUiIqWkACUiIqWkACUiIqVU5VJHIjXMbBGwMG0eAHYCW4HngSWpAkl/j3kbsNHdWxt0jq8DJ6XNPcDfgV8Ci919dz+O0wq86e5X9PPrN/R6RHqiEZRIrZ3AOcCnga8AvwZmAZvNbNIAjncbcF7Dzi48RpzjBURdyYXA3f08xg3AdwfwtQfjekRqaAQlUmuvu/8ht73azB4gGl0+YWZWgmr27blzXGdmE4DrzWx+vXUj3f2vg3d6IodOAUqkDu7+Vpra+g0xalkFYGb3ANOBjxK9xdYBt2RTgWk67jhgoZllU4fnu3urmd1CjNBOJTo6bwTmufvWAZziy0RrmHHAG2Y2CrgHuIooiLwZuMPdn892KE7xpenNm9L1PQBMBBz4jrv/rq/rGcA5i/RKU3wi9XsR2AtMyT12PDG1Nh2YC3wMWGtmw9PzlxFThg8TU3LnAH9Kz00A7gcuBWYDw4ENZjZmAOd2MrAb+E/afhC4BvhROod/AivN7Nw+jjMKWAr8HLgc6ABWpIDX1/WINJRGUCJ1cvcOM3sTGJ977Nrs/ykotQHbiF5jL7n7K2a2F9hWmDbE3ecV9n0B2EEErGV9nM4wMxsBvB/4PHA98Ky77zOzjwNXA9e4+9J0/NXAq8AC4MJejjsSmOvua9N+7cArwFRgVW/XI9JoClAi/TMsv2FmFxFv+mcAo3NPnUrcs+qRmU0B7gI+CYwt7NuXm9O/zHPAjen/k9N5Ppk96e77zexJIsGhN3uA1tx2dp9qQh3nJNJQmuITqZOZHU3cf9meticDzxAjplnEdFc2/Xd0H8c6kUhdH0Y0zPwMEVh29LVv8mh6/URgtLtf4u7b03MfBna5+3uFfbYDo8zsA70c9213359t5NLW6zknkYbSCEqkfucTfzNtafsy4A3gy1nmnJmd1MO+RdOI+z2Xuvu7ad8RdB1J9Wa7u/+xh+fagQ+a2ahCkBoPvJf6oImUnkZQInUwsw8Bi4lFu2vSwyOBPYW07pnd7L6b2hHISGA/kXSRuYrGfGjcRCwyPrgA18yGpe31DTh+d9cj0nAaQYnUGpHuDwEcA0wCvkWMeKbl1kC9AMw1s58AzxILe7/WzfH+Bkw3s1XALiJ1ey2RtfeImT1M3MO6lUhVPyTuvsXMHgfuN7PRRFCdDZyWruNQ1VyPu7/TgOOKdKERlEitMcQ03u+JRIMriHs+Z7n7y9mL3L0FuJ1Ix34G+BxwcTfHmw+8C6wkRjeT3H0zkQZ+NpHg8FXgSiKFuxFmE+niC4CnidJIF7t7I0ZQNdfTgGOK1FDDQhERKSWNoEREpJQUoEREpJQUoEREpJQUoEREpJQUoEREpJQUoEREpJQUoEREpJQUoEREpJQUoEREpJT+DyJXxOhnjiFjAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"khats = az.loo(centered_data, pointwise=True).pareto_k\n",
"az.plot_khat(khats, xlabels=True, annotate=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LOO-PIT ECDF Plot"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_loo_pit(centered_data, y=\"obs\", ecdf=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LOO-PIT Overlay Plot"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_loo_pit(non_centered_data, y=\"obs\", color=\"indigo\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quantile MCSE Plot"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9kaIxPauU0naKT+yX1+1aTjHLe72HgZcCL5vydSVwX+3nRudIkqSZlVLXJUlS+ZrtSd8K7D7Nvp8FftTCNS8DboiIu4DbgdOBfSka30TE9QAppZNSSk8D9049OSI2AdtSSjttlyRJTSuzrkuSpBI125O+DvhfEfH8KdsmaveMnwN8odkLppRuBM4FLgT+FTiSYtj6A7VD9q99SZKkPEqr65IkqVzN9qRfQNHrfR9FYZ8A3g38IrAAOLGVi6aUrgCumGbfMbOcexFwUSvXkyRJOym1rkuSpPI01ZOeUvov4JcohqQfCPwnxf1qnwIOTSk9mitASZJULuu6JEnV1fQ66SmlHwLvqn1JkqQuZl2XJKmamr0nXZIkSZIkZTZtT3pE3M2uy7JMK6X0K6VEJEmSSmddlySpO8w03P1btFDMJUlSpWWr6xFxJsVkdEtr1zk3pXRrE+cdCXwZ+E5K6SU5YpMkqdtM20hPKZ3SxjgkSVJGuep6RKwCLgfOBG6rfb85Ig5OKT04w3kjwPXALRRrs0uStIu168a56hrYtAlGR+G0U2HF8t6+a7u3/3WSJCm384DrUkpXp5S+nVI6B3gEOGOW8z4GfBy4M3eAkqTutHbdOJeuho0bYWKi+H7p6mJ7L5vpnvQPAh9OKT1U+3lGKaU/KjUySZJUmhx1PSIWAIcCq+t2rQWOmOG8M4ElwBtwdnlJ0jSuuga2bdt527ZtxfYVyzsTUzvMdE/6G4C/Ah4C3sjM97FNADbSJUmqrhx1fW9gCNhYt30jcGyjEyLipcB7gMNTSs9ExIwXGBwcZHh4uIlQ1IqhoSHzmoF5zcO85tENed206clptlP52OdjpnvSD5ry84FtiUaSJGWRua7XN/gHGmwjIhYCfwOcn1K6v5knHh8fZ2xsbP4RaifDw8PmNQPzmod5zaMb8jo6Wgxxb7S9qrGPjIzM+zmauic9Ik6KiMXT7NsrIk6adySSJKktSqzrjwHPUAxdn2qUXXvXoZj9/WDg2ojYERE7gHcDv1h7vKLJ60qS+sBpp8LChTtvW7iw2N7Lmp047lpg2TT7DqrtlySpZWvXjbNy1ThHvbL43uuTwVREKXU9pbQdWA/U3xm4HLijwSkPAy8FXjbl60rgvtrPjc6RJPWpFcsHefv5sM8+MDBQfH/7+b0/u/tM96RPNTDDvsXA5hJikST1mclZWycnhZmctRXGe74Ad1iZdf0y4IaIuAu4HTgd2Jei8U1EXA+QUjoppfQ0cO/UkyNiE7AtpbTTdkmSoGiQ9/IkcY3MNLv7a4HXTtn0roj4Qd1hi4CjgLszxCZJ6nH9OmtrJ+Sq6ymlG2tD5y+kGM5+L3B8SumB2iH7zz1qSb2iH9e6luZqpp70UYohaZOWses9Z9splll5X8lxSZL6wKZNrW3XvGSr6ymlK4Arptl3zCznXgRc1Mr1JHUXR01JrZlpdvergasBIuJLwBkppe+0KzBJUu+badZWlcu6LqlTHDUltaape9JTSq/MHYgkqf+cdio79a5Af8za2mnWdUnt5KgpqTXNThxHROwL/E9gP4p71qaaSCm9vczAJEm9rxjm6H2KnWBdl9QuuUZNeZ+7elVTjfSI+A3gr4EhYBPFPWtTTQAWc0lSy/px1tZOs65Laqcco6a8z129rNme9EsoJpI5JaX0RMZ4JElSftZ1SW2TY9SU97mrlzXbSP854BwLuSRJPcG6Lqmtyh415X3u6mXNfnx1BxA5A5EkSW1jXZfU1aa7n93VQdQLmu1JPw/4q4j4MbAO+FH9ASmlp8oMTJIkZWNdl9TVXB1EvazZRvo3at+vpZhMppGh+YcjSZLawLouqau5Ooh6WbON9LcwfRGXJEndxbouqeu5Ooh6VVON9JTSdZnjkCR1Adek7Q3WdUmSqqvZnnRJUp/7/M3bXZNWkirID1Cl3tJ0Iz0iVgG/B7wIWFS/P6XkXIqS1MM+8tGtrknbQ6zrUm9Yu27cD1ClHtPUKzcifgv4OHAfsB/wWeAfaudvBj6aK0BJUjU8urHxLcyuSdt9rOtSZ61dN87KVeMc9cri+9p143N+rquuYdoPUCV1p2Y/XrsAeC9wVu3xFSmltwAHAY8BLS3TEhFnRsT9EbE1ItZHxFEzHPtrEXFHRDweEVsi4jsRcX4r15Mkzd+SfQYabndN2q5Ual2X1LzJnu+NG2Fi4rme77k21Kf7oNQPUKXu1Wwj/eeB21NKzwDPAHsCpJTGgEuBs5u9YG143eXAJcAhwB3AzRGx/zSn/Bj4MHA0cDDwPuDiiDiz2WtKUr8qs7fmnLMXsXDhzttck7ZrlVbXJbWm7J7v6T4o9QNUqXs1e0/6k8DkW7OHgRcDX649HgAWt3DN84DrUkpX1x6fExHHAWcA76g/OKW0Hlg/ZdP9EXEicBRwRQvXlaS+UvZ9iie8egFbt2xxcqLeUGZdl9SCsnu+TzuVnf7Wgx+gSt2u2Ub614H/BqyhuG/t3RGxA9gOvBv4WjNPEhELgEOB1XW71gJHNPkch9SOvaiZ4yWpX83UWzPXid5ck7ZnlFLXJbVudLT40LTR9rkoPih1dneplzTbSP8AcEDt53fXfr4CGALuBn6/yefZu3ZO/Z+mjcCxM50YEQ8BP0MR88UppSsbHTc4OMjw8HCT4ahZQ0ND5jUD85rHdHn9/M3b+chHt/LoxgmW7DPAOWcv4oRXL+hAhO2xadOT02xnTr93/r72lLLquqQW5ej5zvEBqsu6zZ851Fw11UhPKX0V+Grt5x8Br42IhcDClNLmOVy3forggQbb6h0F7AEcDlwaEfenlG6oP2h8fJyxsbE5hKSZDA8Pm9cMzGsejfJaP/T7kUcnuPi9W9i6ZUulCmaZBX2m3pq5/N75+5rHyMhI26+Zoa5LalI39Hy7rNv8mUPNR9PrpNdLKW0Dts164M4eo5igZknd9lF27V2vv979tR+/GRH7UAx336WRLkmN5Bj6XbayC7r3KaoVc6zrkuag6rcOdUPNrDpzqPloqpEeEZ+c7ZiU0hubOGZ7RKwHlgOfmrJrOXBTM7HUDPLchDeSNKtuWKKm7ILeDb016oyy6rqk3tQNNbPqzKHmo9me9J9psG0vIIDHgdTCNS8DboiIu4DbgdOBfYErASLieoCU0km1x+cA90+5xtHA+Tizu9TTyr6Pq+yJenLIUdCr3lujjimzrkvqMd1QM6vOHGo+mr0n/ZWNtkfEzwF/B3yo2QumlG6MiMXAhcBS4F7g+JTSA7VD6tdLH6JYs/VAYAfwn8AfU2vUS6qGMhvVOe7j6oah3xZ0tUuZdV1S7+mGmll15lDzMTAxMdt8bTOLiJXA+1JKLy4npPnZsWPHhBMblc8Jo/LolbzWN6qhKERvP39uDfWVq8YbNlb32QduunH255sur1WfZbXsPJatV35fq2ZkZGSg0zFMZV3vD76e8+ilvFapZnZrXquUw0Zy5LXq/+Z2KKOuz3niuCmeAfYr4Xkkdamy76XOdR9X1Yd+ew+5KsK6LqnyNbMb9FsOndG+PM1OHHdwg80LgBcD76VYU1VSnyq7Ud3Pw777raCrM8qu6xFxJnABxW1s3wLOTSndOs2xv0axTnsAzwMeAK5JKa1u5ZqSpPkrs+fbGe3L02xP+r00Xsd8gKKQe3eF1MfKblR7H5eUXWl1PSJWAZcDZwK31b7fHBEHp5QebHDKj4EPA98EngJeAVwVEU+llJwUVlLH9NtQ7c/fvL3Unm9ntC9Ps430RhPMbAUeSik9XGI8krpQ2Y1qh31L2ZVZ188DrkspXV17fE5EHAecAbyj/uCU0npg/ZRN90fEicBRuHKLpA7px6HaH/no1lJ7vvt5JGTZmp3d/Z9zByKpe+VoVDvsW5305JNPctNNNzE6Osr3v/99DjjgAA466CDuvPNOnn76aU488UQWLlzImjVr2Lx5M4ODg6xYsYIlS5bw3e9+lzvuuIPx8XH22GMPXvOa17Bo0SJuu+02xsbGeOKJJxgbG+Poo4/m4IMbjTrPr6y6HhELgEOB+qHqa4EjmnyOQ2rHXlRGTFIO/dbD2o/6caj2oxsbTyA+155vR0KWp9l70uuXRZvRNMPbJPWwfmxU+6attz3++OO89rWvZWRkhI997GP81E/9FCeffDLr169n/fr1bNmyhcMPP5x9992XJ554gs997nOcfPLJ7Lfffpx00kkMDAxw9913c88993DEEUV79Yc//CFvetOb2Lx5M5/85Cc71kgvsa7vTbFUan3fyUbg2FlieIhivfbdgItTSg2XVh0cHGR4eLiVcNWEoaEh89qkz9+8nQ/+6Ra2bi0eb9wIH/xTWLT7Qk549YKdjjWvebQjr5s2PTnNdnr2/3TJkjEeeWR81+37DMzp37zyRFi0+3Y+8tGtPLpxgiX7DHDO2Yt2eZ1ods0Od99A43vX6g3Ujhuaa0CS1A36cVhcv9lrr71YvHgxAIsXL+bAAw8EYHR0lA0bNvDwww/z+OOPP3v8li1bABgbG+Mzn/kMP/nJT9ixYwdLly599phly5YxNDTEyMgI2+q7bNprA+XW9frnGmiwrd5RwB7A4cClEXF/SumG+oPGx8e7cumlquvWJa064fKPjD/bQJ+0dStc/pEtHH3kzq9j85pHO/I601DtXv0/PeeshVz83i279Hz/3v8zMed/89FHwtFHDlCUAYBtjI11tN613cjIyLyfo9lG+u8AlwLfBv4W2ASMAiuBXwD+CNg872gkqUv047C4fjM09Fy7dGBggN122+3ZnycmivbnySefzODgzh/KrFu3jsMPP5xly5Zx33338c1vfvPZfZPPUQFl1fXHKJZsW1K3fZRde9d3klK6v/bjNyNiH4rh7rs00qVOczKs/tCPQ7VPePUCtm7Z4qjACmr23cIK4B9SSmfUbb8yIq4Ejk8pvbnc0CSpunzTpgMOOIB77rmHww47DIBNmzYxOjrK9u3b2XPPPZmYmODee+/tcJTTKqWup5S2R8R6YDnwqSm7lgM3tRDPILCwheOltnEyrP7QLZPWln2rXT/ertgNmm2kn0jx6XojNwGfLiccSeoOvmnTsccey5o1a/jGN77B+Pg4y5YtY3R0lFe84hXcdNNNDA8Ps2TJEjZvruRAszLr+mXADRFxF3A7cDqwL3AlQERcD5BSOqn2+BzgfiDVzj8aOB9ndldF9WMPa7+qeoPVW+36R7ON9C3AkcC6BvuOoli2RZL6hm/aetvzn/98TjnllGcf/8Zv/MazP++33368/vWvB+DEE0/c5dwXvehFvOhFL9pl+5FHHrnT47e+9a0lRTsnpdX1lNKNEbEYuBBYSrEG+/EppQdqh9RPUjdEMdT+QGAH8J/AH1Nr1EtV0y09rOp93mrXP5ptpP858K5aEf4sz9279lrgNOD9ecKTpGryTZu6XKl1PaV0BdP0hKeUjql7/GfAn7UestQ5Ve9hVX/wVrv+MTA5+c1sIuJtFBPJLKWYsXUAeBT4YK3gVsLnP//5iQ0bNnQ6jJ6zaNEittZPbap5M695mNc8zGseZ5111sDsR5WvW+r6jh07Jnp1ZuVOchbyPMxrHua1sHLVeMNb7fbZB266sfVOgn7K65NPPslNN93E6Ogo3//+9znggAM46KCDuPPOO3n66ac58cQTWbhwIWvWrGHz5s0MDg6yYsUKlixZwne/+13uuOMOxsfH2WOPPXjNa17DokWLuO222xgbG+OJJ55gbGyMo48+moMPPpiRkZF51/WmG+kAETEI/BzFLK6PAv+VUtp1cb0Ospjn0U8v4nYyr3mY1zzMax5lFPO5sq73r15+PZc9sVYrejmvnWReC/X3pENxq93bz5/b73g/5fXJJ5/kL/7iL3jLW97CyMgIH/vYx1i2bBm//uu/zvr163niiSfYsmULhx12GPvuuy9PPPEEn/vc5zj55JPZsmULixYtYmBggLvvvpunn36aI444gttuu40HH3yQVatWsXnzZj75yU9y2mmnlVLXW1oLpla4H6h9SZKkLmZdV69xYi31Mm+1m5+99tqLxYsXA7B48WIOPPBAAEZHR9mwYQMPP/wwjz/++LPHb9myBYCxsTE+85nP8JOf/IQdO3awdOnSZ49ZtrcxKZ8AACAASURBVGwZQ0NDjIyMsK1+woB5qMyCrZLaq5M9DZIk5eDEWup1zo8wd0NDQ8/+PDAwwG677fbsz5Ojy08++WQGB3d+P7xu3ToOP/xwli1bxn333cc3v/nNZ/dNPkfZfEcu9aHJnoaNG2Fi4rmehrXrKjXKVZKkljixlqS5OuCAA7jnnnuefbyp9odj+/bt7LnnnkxMTHDvvfe2JRZ70qU+ZE+DJKkXjY7ScGKt0dH2xyKpuxx77LGsWbOGb3zjG4yPj7Ns2TJGR0d5xStewU033cTw8DBLlixh8+bN2WOZdeK42qQyS4EnU0o/zh7RPDnBTB79NLFEO3Uqr0e9cpxGL/2BAbj1S90/wMbf1zzMax7tnjjOui7o3ddz2RNrtapX89pp5jUP85pHGXW9mb9Wg8AG4Mj5XkxSNUzXo2BPg9QXrOvqWSuWD/L284slqQYGiu/taqBLUllmHe6eUtoREQ8Az2tDPJIaKHuSt9NOpWFPw2mnlhCspErrtrq+Zs0aNmzY0OkwutZ/fHd/vnr3L/HjHz+PPfZ4isN/+d940c8/yKJFi9i6dWunwwOmj3E+Vr72uZ8f+wF84hPzDLJJVcprLzGveZjXPM4666x5P0dT66RHxO8BpwPHpZR+MO+rZuSwuDwcDpNHM3nNNXSvl2d39/c1D/OaRyfWSbeu94eZ6sfKE59fiddzp4enl82/k3mY1zzMax7tXCd9BcX9axsiYj2wEZjaup9IKa2abzCSdpVrkjeX8JD6mnW9osr8AHWm+rHyxBKCLYETmUrSrpptpO8NpLrHkqZR5pssl5ORlIF1vQRlj0iq71WeXB4Txuf0vN1QP7ohRklqt6Ya6SmlV+YOROoVZb/JcjkZSWWzrs9f2X/rofxe5W6oH90QoyS125yqSET8VNmBSL1ipjdZc3HaqcX9eVM5yZukMlnXW1f233oov1e5G+pHN8QoSe3W7HB3IuII4F0US7Y8LyKeAm4F3ptSujNTfFLXKftNVtEj07uTvEnqDOv6/OQYpl12r3Ku+lHmMH9rnCTtqqlGekQsBz5Pcf/an1BMMLMP8HrgyxFxQkrpn7JFKXWRHEP3nORNUpms6/OX4299juUxy64fOYb5W+MkaWfN9qS/H/gs8IaU0tTZX/93RNwEXAJYzCVcg1xSV7Cuz1OuBnXVe5WdjV2S8mu2kf5S4F11hXzSXwB/X15IUnfrhjdZkvqedX2ecv2tr3qvsrOxS1J+zTbSfwQsm2bfC2v7mxYRZwIXUKzR+i3g3JTSrdMceyJwOnAIsAj4d+D9KaXPtnJNqZ2q/iZLUt8rta73q378W+9s7JKUX7Mf934K+EBE/E5ELAKIiEUR8TsUQ+Y+2ewFI2IVcDnFULpDgDuAmyNi/2lO+TXgi8AJteO/APxdRBzV7DUlSdJOSqvr6i/Oxi5J+TXbk/52YDHwceDjEfFjYI/avr+u7W/WecB1KaWra4/PiYjjgDOAd9QfnFJ6W92miyPiBOB1FLPQSpKk1pRZ19VHvKVLkvJrqpGeUtoC/HZEvBf4ZYph6o8Ad6eUvtPsxSJiAXAosLpu11rgiGafBxgGfthox+DgIMPDwy08lZoxNDRkXjMwr3mY1zzMa+8oq66rP/XjMH9JaqdpG+kR8T3gN1JK/xYR7wauqRXu+RTvvYEhiqVeptoIHNvME0TEWcB+wA2N9o+PjzM2NjaPENXI8PCwec3AvOZhXvMwr3mMjIy05TqZ6npXKXN9b0mScpmpMv0s8Lzaz++haBiXpX422YEG23YRESsp1nP97ZTSAyXGI0lSr8tZ1ytvcn3vjRthYuK59b3XrhvvdGiSJO1kpuHu/wmcHRGLKRrRR0TE3tMdnFL6QhPXewx4BlhSt32UXXvXd1JroN8AnOTM7pIktSxHXe8aru8tSeoWMzXS30ExocxvUvRyXzbDsRMUw9hnlFLaHhHrgeUUM8tOWg7cNN15EfHGWiwnp5Q+Pdt1pFY5BFJSHyi9rk/qhqVVXd9bktQtpm2kp5Q+ExF7AfsCDwInAv9SwjUvA26IiLuA2ykK9b7AlQARcX3t+ifVHr+Jogf9fOArETHZC789pfRECfGoz00OgZzsYZkcAgnjNtQl9YxcdX3K0qpnArfVvt8cEQenlB5scMrk0qoXAk8Av02xtOox0zXsy+D63pKkbjHj7O4ppXHgoYj4XeDWlNLj871gSunG2lC7Cyk+cb8XOH7KPeb166WfXovzz2pfk/4ZOGa+8UgOgZTUL3LUdbpkadXTTmWnD2TB9b0lSdXU7BJsHy/zoimlK4Arptl3zEyPpbI5BFJSvymrrrdjadWyuL63JKlbNNVIl3qZQyAlac6yL606ODjI8PDwfGJ81soTiy/B0NBQaXnVc8xrHuY1D/NaXT3XSF+zZg0bNmzodBg9Z9GiRWzdurXTYWTx0oP35/HHf4UdO557Oey22w5eevBdfOITjW6nLE8v57WTzGse5rU8//Ef/8GCBQs48MADOeusszodThnmu7Tqm6ZbWnV8fJyxsbH5R6idDA8Pm9cMzGse5jUP85rHyMjIvJ+j5xrpr3rVq/xly6DXX8S7zu6+GyuWH5n9ur2e104xr3mY1/Lcdttt7L777hx66KGdDmW+XFpVkqSS9VwjXZqLFcsHnSROUmm2b9/O3//93z/7ocYxxxzD5s2bufvuu9lzzz3Zfffd2W+//Toc5fy1Y2lVR8jl4ciYPMxrHuY1D/OaRxkj5KZtpEfEbwH/OHWZs4jYH/h+SmnHlG37AqeklC6ZdzSSJPWA733veyxatIg3vvGNTExMsHnzZtatW8cpp5zCwMAA1113Xdsb6RnretalVR0hl4cjY/Iwr3mY1zzMa3nKHiE305SmNwAvnHwQEUPA/cB/qzvu54D3lhKNJEk9YHR0lIceeogvf/nLPPzww2zcuJEDDzyQRYsWsXDhQl74whfO/iTly1LXU0o3AudSLK36r8CR7Lq06tTlVacurfrIlK+/beHfIklSz5ppuPtAk9skSdIUe+21F6eccgrf+973uOWWWzrVKK+Xra67tKokqZe1+zY270mXJKlkY2Nj7L777rzkJS9hYGCADRs28NBDD7F161YGBwe57777OOywwzodpiRJakK7b2OzkS5JUsl+8IMf8KUvfYnBwUGGhoY4/vjjWbp0Kddffz177rlnT0waJ0lSvxgdHeWLX/wiX/7yl3nhC1/IU0899extbEDpI+Zma6Q3WuN01nVPJUnqZy94wQt4wQtesNO2vffem5e//OUdiuhZ1nVJklrU7tvYZmukr4mIHXXbbqnbZm+8JEndwbouSVKL2n0b20yF+OLSrqK+tnbdOFddA5s2wegonHZqsS65JKmtrOuSJM1Bu29jG5iY6K1Rbjt27Jjop/X+2tUAnus6imvXjXPpati27bltCxfC28+3oQ6uT5mLec3DvOYxMjLiyikz6Le63i6+nvMwr3mY1zzMax5l1PU5t5Ii4mciYsF8A9DcTTaAN26EiYni+6Wri+1VcdU1OzfQoXh81TVzf86168ZZuWqco15ZfK/Sv1eSupV1XZKkapi2kR4RR0bEBQ22/35EPAY8CvwoIv4sIuwS7YAcDeCybdrU2vbZdMMHE5JURdZ1SZK6w0xF+Hzg8KkbIuJ/AH8OPAC8DbgGOAs4NVeAml7ZDeAcRkdb2z6bbvhgQpIqyrouSVIXmGniuJcD76rbdgbwFLA8pfQEQERsBX4P+IssEWpao6NFT3Kj7VVx2qk0vCf9tDm+/euGDyYkqaKs65IkdYGZetJ/Btgw+SAiBoDlwC2Thbzmn4BlWaLTjE47tWjwTjWfBnAOK5YP8vbzYZ99YGCg+D6fSePK7pmXpD5iXZckqQvM1JO+Cdh3yuNDgGHgK3XHPQ0MlRyXmlA0dKu/vNmK5YOsWF7Oc5XdMy9JfcS6LklSF5ipkf4V4A8jYi3wQ4p72caBv6877peA/8oTnmZTZgO4G3TLBxOSVEHWdUmSusBMjfR3Al8DNgLbgUXAZSml79UddxLwpTzhSbvqtw8mJKkk1nVJkrrAtI30lNKDEfFi4A3A84F7UkpfnHpMROwN/BXwhaxRSpKkebGuS5LUHQYmJiY6HUOpduzYMTE2NtbpMLrW2nWNh5IPDw9jXstnXvMwr3mY1zxGRkYGOh1DlVnX8/D1nId5zcO85mFe8yijrk97I29ELI6ImyLiVTMc86raMc6t3QPWrhvn0tXFsm4TE8X3S1cX2yVJ3c26LklSd5hptq1zgRcAa2c4Zi1wEPCHZQalzrjqmp1nTYfi8VXXdCYeSVKprOuSJHWBmRrpbwSuTClNOx6+tu8q4LVlB6b227Spte2SpK5iXZckqQvM1Eg/APj3Jp7j28CBpUSjjhqdZnDjdNslSV3Fui5JUheYqZG+BdiziefYo3asmrB23TgrV41z1CuL71W63/u0U2Hhwp23LVxYbJckdT3ruiRJXWCmRvo9wP/dxHO8tnasZlH1idlWLB/k7efDPvvAwEDx/e3nF9slSV3Pui5JUheYdp104P8An4yIO1JKH290QEScBPwusKqVi0bEmcAFwFLgW8C5KaVbpzl2KfCnwMuBnwduSCmd0sr1qmKmidlWLO9MTPVWLB+sTCySpFJlq+uSJKk80zbSU0p/GxGXA9dGxNnAPwIPAhPA/sCrgMOAD6WU/q7ZC0bEKuBy4Ezgttr3myPi4JTSgw1OWQg8Bvy/wO83e50qcmI2SVKn5KrrkiSpXDP1pJNS+sOI+DLFsi3nUzSYAbYBtwOvTSn9Q4vXPA+4LqV0de3xORFxHHAG8I4GMWwA3goQEa9v8VqVMjpaDHFvtF2SpNwy1XVJklSiGRvpACmlzwGfi4jdgMW1zY+nlHa0erGIWAAcCqyu27UWOKLV5+s2p51a3IM+dci7E7NJktqpzLouSZLKN2sjfVKteDfoB27J3sBQg+fZCBw7z+cGYHBwkOHh4TKeqnQrT4RFu2/nIx/dyqMbJ1iyzwDnnL2IE169oNOhzWpoaKiyee1m5jUP85qHee0tJdV1oH/nmpEkKYdpG+kR8e4WnmcipfTeVo6vezzQYNucjI+PMzY2VsZTZXH0kXD0kQMU/2SAbYyNbZvplEoYHh6udF67lXnNw7zmYV7zGBkZact1ctX1fp5rRpKkHGbqSb+IYp3Un/Bci3I6E0Azxfwx4BlgSd32UUr6NF+SJDV0EeXXdejjuWYkScphpkb69yhme10P/A3wdymlzfO5WEppe0SsB5YDn5qyazlw03yeW5Ikzaj0ut7vc81IkpTDTEuwvTAiDgPeRPFp+p9HxD8Cfw38Q0ppyxyveRlwQ0TcRTGT7OnAvsCVABFxfe36J02eEBEvq/24JzBee7w9pfTvc4xBkqS+kqmu9/VcM93MOSbyMK95mNc8zGt1zbYE29eBrwPnR8TRFIX9o8BfRsRngatSSl9p5YIppRsjYjFwIcUEM/cCx6eUHqgdsn+D0/6l7vFrgAeAA1u5tiRJ/SxHXa/p27lmupVzTORhXvMwr3mY1zzKmGumldndvwJ8JSLOBd4P/AGwO9ByMU8pXQFcMc2+Yxpsm+3eOUmS1IKS6rpzzUiSVLKmG+kR8QqKT9xfDwwDnwb+PFNckiQpozLqunPNSJJUvhkb6RHxcooCvgrYB/hHik/aP5tSeip/eJIkqSyZ6rpzzUiSVKKZ1klPwEHAF4H3AH8731lgJUlSZ+Sq6841I0lSuQYmJhrP6xIR48BWivVUZ538JaU0Wm5oc7Njx44JJ0AonxNL5GFe8zCveZjXPEZGRtoy74p1XVP5es7DvOZhXvMwr3mUUddnGu5+8XyfXJIkVYZ1XZKkLjDTOukWc0mSeoR1XZKk7jDY6QAkSZIkSVLBRrokSZIkSRVhI12SJEmSpIqwkS5JkiRJUkXYSJ/B2nXjrFw1zlGvLL6vXTfe6ZAkSZIkST1spiXY+tradeNcuhq2bSseb9wIl64GGGfFcj/bkCRJkiSVz9bmNK665rkG+qRt24rtkiRJkiTlYCN9Gps2tbZdkiRJkqT5spE+jdHR1rZLkiRJkjRfNtKncdqpsHDhztsWLiy2S5IkSZKUgxPHTaOYHG6cq64phriPjhYNdCeNkyRJkiTlYiN9BiuWD7JieaejkCRJkiT1C7uFJUmSJEmqCBvpkiRJkiRVhI10SZIkSZIqwka6JEmSJEkVYSNdkiRJkqSKsJEuSZIkSVJF2EiXJEmSJKkibKRLkiRJklQRNtIlSZIkSaoIG+mSJEmSJFWEjXRJkiRJkipit04H0KyIOBO4AFgKfAs4N6V0a2ejkiRJc2FdlySpsa7oSY+IVcDlwCXAIcAdwM0RsX9HA5MkSS2zrkuSNL2uaKQD5wHXpZSuTil9O6V0DvAIcEaH45IkSa2zrkuSNI3KD3ePiAXAocDqul1rgSPqj3/nO9/J9u3b2xFaX1mwYIF5zcC85mFe8zCveXzoQx/qdAhtZV2vBl/PeZjXPMxrHuY1jzLqeuUb6cDewBCwsW77RuDY+oMHBgZYsGBBO+LqK+Y1D/Oah3nNw7yqJNb1CjCveZjXPMxrHua1urqhkT5pou7xQINtvO9972NsbKw9EfWR4eFh85qBec3DvOZhXlUy63oH+XrOw7zmYV7zMK/V1Q33pD8GPAMsqds+yq6fwkuSpGqzrkuSNIPKN9JTStuB9cDyul3LKWaDlSRJXcK6LknSzLpluPtlwA0RcRdwO3A6sC9wZUejkiRJc2FdlyRpGl3RSE8p3RgRi4ELgaXAvcDxKaUHOhuZJElqlXVdkqTpdUUjHSCldAVwRafjkCRJ82ddlySpscrfky5JkiRJUr+wkS5JkiRJUkXYSJckSZIkqSJspEuSJEmSVBE20iVJkiRJqggb6ZIkSZIkVYSNdEmSJEmSKsJGuiRJkiRJFWEjXZIkSZKkirCRLkmSJElSRfRkI/3st40D8LFrxxvun2n75Ndsph6zctV4w+1TveqExsfUHz/5eKYY6uOc7ZxG+5v5N7bDdP/+brtGO9T//7X6+91JVYwJ5hdXGf+mquZF0tw0+3e5iq/9qe9TZtOu+KuQp9neG059D9jq8+Y023vd3OZ7/XbH2Or15hJfs+dMPW6yTZPjOvPRifdAc3nf22jfXP4ed6IN1ZON9H/9t+L7tR9vvH+m7ZNfs5l6zMaNsz/3T37S+Jj64ycfzxRDfZyzndNofzP/xnaY7t/fbddoh/r/v1Z/vzupijHB/OIq499U1bxImptm/y5X8bU/9X3KbNoVfxXyNNt7w6nvAVt93pxme6+b23yv3+4YW73eXOJr9pypx022aXJcZz468R5oLu97G+2by9/jTrSherKRLkmSJElSN7KRLkmSJElSRdhIlyRJkiSpImykS5IkSZJUETbSJUmSJEmqCBvpkiRJkiRVhI10SZIkSZIqwka6JEmSJEkVYSNdkiRJkqSKsJEuSZIkSVJFDF100UWdjqFU4+PjF331a9s4/tUDTExM8PJDBnY5Zqbth7wMDnkZDfdP9xyfv3mCVW8YmPG5b/zUBG/+7V2PqT9+8vF0z9MoztnOabR/pudvZOHChWzfvr3p45s13b+/264xV63ktf7/b7rf0yr9+ya1O6Zm8zqfuMr4N1Xx/2omuf4O9Lvdd9/94k7HUGXj4+MXdcvvXbPvO6rw2q9/PU99nzKbdsVfhTzN9t5w6ntAaE/9acZs73Vz53W+168/P0f9mc/74rn8/zV7ztTj7vmXCY5/dZ7rwNzz2on3QK2266bbN5e/x63+rpRR1wcmJibm+xyVsmPHjomxsbFOh9FzhoeHMa/lM695mNc8zGseIyMj3fNJTQdY1/Pw9ZyHec3DvOZhXvMoo6473F2SJEmSpIqwkS5JkiRJUkXYSJckSZIkqSJspEuSJEmSVBE9N3GcJEmSJEndyp50SZIkSZIqwka6JEmSJEkVYSNdkiRJkqSKsJEuSZIkSVJF7NbpAFoVEWcCFwBLgW8B56aUbp3h+F8DLgN+Efg+8MGU0pXtiLWbtJLXiDgROB04BFgE/Dvw/pTSZ9sUbtdo9fd1ynlHAl8GvpNSeknWILvQHP4OLAAuBN4M7AtsBFanlD7chnC7xhzy+lvAHwEvAjYD/wScn1J6tA3hVl5EHA2cDxxK8Xv3uyml62Y556XAR4FfAZ4ArgLem1LqyVlerel5WNPzsKbnYU3Px7pernbW9a7qSY+IVcDlwCUUxeQO4OaI2H+a4w8CvlA77hDgA8BHImJleyLuDq3mFfg14IvACbXjvwD8XUQc1YZwu8Yc8jp53ghwPXBL9iC70Bzz+tfAccDvAwG8AfhG5lC7yhz+vr4CuAH4OEWD6XXAwcBftSXg7rAHcC/wNmDLbAdHxJ7AOoo3nL8MvJXizdV5GWPsGGt6Htb0PKzpeVjT87GuZ9G2ut5tPennAdellK6uPT4nIo4DzgDe0eD404Hvp5TOqT3+dkT8d4pPQG7KHm33aCmvKaW31W26OCJOoHgxz/qJch9p9fd10sco/kAOAK/PG2JXaimvEbECOBZYllJ6rLZ5QzsC7TKt/r7+KvBQSulDtcf3R8RHgI/kD7U7pJS+QNHgISKua+KU3waeB5ycUtoC3BsRLwbOi4jLerA33ZqehzU9D2t6Htb0fKzrJWtnXe+anvTa0JZDgbV1u9YCR0xz2q82OH4NcFhE/FS5EXanOea1kWHgh2XF1e3mmtfasKQlwPvyRde95pjX1wF3U/xBfCgivhsRH46IPTKG2lXmmNfbgaUR8ZqIGIiIvYE3UStempNfBW6tFfJJayiG1B3YkYgysabnYU3Pw5qehzU9H+t6Zcy5rndNIx3YGxiiGC4w1UaKP4CNLJnm+N1qz6e55XUnEXEWsB/FEBkVWs5r7Z6V9wC/nVJ6Jm94XWsuv68vAI4EfglYCZxNMUzuujwhdqWW85pSuhP4TYphcNuBH1D0FJ2cL8yeN13NmtzXS6zpeVjT87Cm52FNz8e6Xg1zruvd1EifVD8sYKDBttmOb7S937WaVwBq9wL+CUUReiBHYF2uqbxGxELgbygm57i/HYF1uVZ+Xwdr+34rpfS1lNIaiqK+MiL2yRhjN2o6rxFxMPBh4L0Un9YfR1FwrsoZYB/ot5plTc/Dmp6HNT0Pa3o+1vXOm1Pd6qZ70h8DnmHXTx1G2fUTikmPTnP8DuDxUqPrXnPJK/BsMb8BOMlZYHfRal6XUkzOcW1EXFvbNggMRMQO4PiUUv2QpX40l9/XR4CHU0pPTtn27dr3/Wc4r5/MJa/vAO5KKf1J7fE3IuInwK0R8c6U0n/lCbWnTVezoPd+T63peVjT87Cm52FNz8e6Xg1zrutd05OeUtoOrAeW1+1aTjFbYSN3UkwuUX/811NKT5cbYXeaY16JiDcC/x9wSkrp0/ki7E5zyOvDwEuBl035uhK4r/bztP8X/WSOv6+3A/vW3a/2otp3e4qYc16fR/EGYKrJxwNoLu4EjoqIRVO2LadYamxDRyLKxJqehzU9D2t6Htb0fKzrlTHnut5NPelQrI16Q0TcRfEiPZ3ixvsrASLieoCU0km1468Ezo6IP6MYqvEK4BSK+y30nJbyGhFvovi0/XzgKxEx+QnR9pTSE22OvcqazmvtDea9U0+OiE3AtpTSTtvV8t+BTwDvoujRuAj4aYolST6dUtrU3tArrdW8fg64OiLOoJgEZSnwZ8A9KaUH2xx7JdXeRL6w9nAQ2D8iXgY8kVJ6MCI+APxKSul/1I75BMU9rNdFxPso3nj+MXBxD87sDtb0XKzpeVjT87Cm52NdL1k763rX9KQDpJRuBM4FLgT+lWLiiOOn3De1f+1r8vj7geOBo2vHvxN4a0rJpVqmaDWvFC/y3SheuI9M+frbdsXcDeaQVzVhDn8HfkzR+/Z8ihlhPwn8M/CWNoZdeXPI63UUy7ucTfFm9NPAd4HXti/qyjsM+Jfa1+7AxbWf/3dt/1Jg2eTBteGbyyneRH0d+D/An1K80eo51vQ8rOl5WNPzsKbnY13Pom11fWBiohc/nJckSZIkqft0VU+6JEmSJEm9zEa6JEmSJEkVYSNdkiRJkqSKsJEuSZIkSVJF2EiXJEmSJKkibKRLkiRJklQRu3U6AElzExGnAGcALwGeAdYDq1NKn+9gTL9CsQbnRXXbLwLOTintXXt8DPAl4KUppXvbHKYkSZVjXZc0yZ50qQtFxJ8D1wBfA14HrAIeBP4hIv6gg6H9CvCeBtuvAV7V5lgkSeoK1nVJU9mTLnWZiHgdcDpwRkrpyim7bo6IR4E/iYhbUkrf6EyEu0opPQQ81Ok4JEmqGuu6pHo20qXu8zbgPuDqBvsuAU4DzgZ+PyI2AJ9OKZ0/eUBtON21wHBK6f9v735CrajiAI5/U6mXQkUI8aIS+uOPcttGXCSGQVkLg4j+gcFrkUEvLCK1NlFERpteUQoFuQpavOgflCX9I5KCdtGvTSlBlCH5aKFi3hZn3mscr3Xv7d+M7/uBy7tz58yZM2/zm9+Zc878GhFLgCeBtcCFwI/A28DmzJypHdcD7gPOA+4CesCrwKbMPFzVO1UrC/BhZq5uDovrJyIWAA8CE1U79gKPZ+bLg/5jJEnqIOO6pOM43F3qkIhYBKwE3sjM35r7M/MgZU7YVUNUuxhYCGwFrgUeAdZQAnXT/cD5wO3AU5Qbh8lq31vA09X3ldVn4xDtmAIeBnYA64Bp4KWIuH6IOiRJ6gzjuqR+fJIudctS4AxKb/TJ7AWuGbTCzNxPWagGmLth+Bb4JCIuysx9teLfZeaG6vs7EbEKuBHYlpn7qx5+MvOzQc9fnfPSqg131nrY34uIccpcuDeHqU+SpI4wrks6gUm6dGrq/XWRP0TEHcAm4DJgSW3XcsrCNbPe0nkfiQAAAilJREFUbRz6FXDlKA1suBo4BkxXNxOz3gduiYiF/Z4wSJI0TxjXpXnEJF3qlp+Bw8CyPymzDPhh0AojYj2wE3ge2AIcAMYpw9LGGsV/aWwf6VNmFEspQ/MOnmT/OC5QI0k69RjXJZ3AJF3qkMw8GhGfAusi4oHMPFbfHxFnAauB16ufDgGnN6o5t7F9E7AnM+fmmUXEMHPf/gkHgKPAKkrPe9NP/21zJEn69xnXJfVjki51zzOU3vAJymIsdQ8B51BWeYXSS315o8zaxvaZlF78uttGbNsRgIgYy8xDQxy3m9LjfnZm7hrx3JIkdZFxXdJxTNKljsnM1yLiBeC5iLiCsvjKIuBmYAPwbGZ+UBWfBqYiYgvwOWUxmBWNKndVdW0F9gDXUeaSjeLr6u9kROwGZjIzB7imrK7plYjYBnxBGW63AliemRMjtkeSpFYzrktqMkmXumkjJfDeTXm36eLq982Ud6PO2gFcAtxLWT12J/AYsL1WZjtwMeWVK2OU4H4rMNRKrpWPKa9wmQSeAD6iDNMbxD3AN5TreRSYoSxg8+II7ZAkqUuM65LmnNbrDbVYpKQWiogLKD3qXwI3uGKqJEndZVyX5rcF/3cDJP19mfk9sB5YQ5nbJkmSOsq4Ls1vPkmXJEmSJKklfJIuSZIkSVJLmKRLkiRJktQSJumSJEmSJLWESbokSZIkSS1hki5JkiRJUkuYpEuSJEmS1BIm6ZIkSZIktcTvua+FH78eJQMAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 993.6x331.2 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"az.plot_mcse(centered_data, var_names=['tau', 'mu'], rug=True, extra_methods=True);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quantile MCSE Errorbar Plot"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+wLuAcyPiMZm5qfNi5vXy+W+6fPZpNezX8tmn1Sgjr49UoX1ycnLQIYwk+7V89mk17Nfy2acaFP/uVcN+LZ99Wg37tXz2qXqRmV+kWKSQiDij49iNFIsd3yEi/g74IfBI4Aed1/PvX/ns0/LZp9WwX8tnn9aXc7RLkiRJkqTFuHfr9YaBRiFJ0gCN1Ih2SZIkSZLUPxFxd4qpY87JzP9e6JyJiQkajUZ/Axtxk5OT9mnJ7NNq2K/ls0/ry0K7JEmSJEnqWUQsBT4M3Bf4iy2d12w22bBhQ9/iGgeNRsM+LZl9Wg37tXz2aTWmpqYWfQ0L7ZIkSZIkqSetIvvHgEcDKzLzugGHJEnSQFlolyRJkiRJXYuIuwEfB/4vRZH96gGHJEnSwFlolyRJkiRJd4iInYC9WpsTwO4RsQy4Hvgl8CngCcCfA3MRsUvr3Bsz8+Z+xytJUh1MDDoASZIkSZJUK48Hvt/62QE4qfX7G4EHAfsDuwHfBa5q+zlwEMFKklQHjmiXJEmSJEl3yMx1wJKtnLK1Y5IkjSVHtEuSJEmSJEmStAgW2iVJWsARRzY54sjmoMOQJEmLZE6XJGk01D2nW2iXJEmSJEmSJGkRLLRLkiRJkiRJkrQIFtolSZIkSZIkSVqEpYMOQJIkSZIkSZKkhayZbTK7dvP28hXFPO3TK2Fmuj7jyC20S5IkSZJGzrDclEuSpK2bmZ5gZpo7FkJdvaqeedxCuyRJkiRp5AzLTbkkSRoNftKQJEmSJEmSJGkRHNEuSZJKERH7AkcDjwN2A6Yz84zWsbsBbwb+FPg/wG+A84HXZeaVAwlYkiRJkjQ06v50Wr2jkyRJw2Qn4DLgSODmjmM7An8AvKX1uj/wYODciPCLf0mSJEnSUPPGVpIklSIzvwh8ESAizug4diPw9PZ9EfF3wA+BRwI/6E+UkqRxU/fRb5IkaTT4iUOSJA3KvVuvNww0CkmSJEmSFmngI9q3Np9r6/gS4A3AocAU8G3g8Mz8Yf+jlSSNujWzTWbXbt5evqIJwPRKmJn2++myRMTdgXcB52Tmf3cen5iYoNFo9D+wETc5OWm/lsw+rYb9Wj77VJIkqVoDL7SzeT7XM1s/nV4DvAo4BEjgBOArERGZuaFfQUqSxsPM9AQz03DEkUWB3cfNy9eak/3DwH2Bv1jonGazyYYNpvmyNRoN+7Vk9mk17Nfy2aflm5qaGnQIkiSpRgZeaN/afK6t0exHAW/LzLNb+1YC1wIHA+/va7CSJGlRWkX2jwGPBlZk5nUDDkmSJEmSpEUrZZheRNy3jOss4KHALsCX53dk5s3AN4AnV9SmJEljpcI83tnO3YBPAI8B9svMq/vRriRJ46JfOV2SJN1VTyPaI+JlQCMz39HaXgZ8Htg1ItYD+y80z+oi7NJ6vaZj/zXAAztPdj7XajifY/ns02rYr+Ub5z5dunQjAI3GTgOOpDxV5/GI2AnYq7U5AezeauN64JfAp4AnAH8OzEXEfJ6/sfVFuiRJ6sIA7s0lSdI29Dp1zMuBf2rb/ieKG+ejgdcCbwNeUE5odzLXsb1kgX3O51oR53Msn31aDfu1fOPcp5s2FXO0l/3nH/B8rlXn8ccD57dtn9T6WQucCOzf2v/djvdNA2csol1JksZNpTk9IvZtXetxwG7AdGae0XZ8CfAG4FBgCvg2cHhm/nB725Qkadj1WmjfnWJBUiLi94CnAH+Smesi4jZgdcnxzT9SvgvwX237d+auo9wlSdLWVZrHM3MdxZfhW7K1Y5IkqXtV35vvBFwGnNn66fQa4FXAIa04TgC+EhGRmeM5SkOSNPZ6naP9VuDurd/3A24Cvtnavh4oez64KyiK7U+f3xER9wT2AS4quS1JkkZdv/O4JEmqRqU5PTO/mJnHZuZZQLP9WGs0+1HA2zLz7My8DFgJNICDF9OuJGm0HHFkkyOObG77xBHR64j27wCHR8R/A68Azs3M21vH9qR4VK0nW5vPNTOvjIh/BI6LiB8BPwaOBzYCH+21LUmSxlzpeVySJA3EIHP6QymeOv/y/I7MvDkivgE8GXh/hW1LklRbvRbaXwV8DvgBxVQuL247diBw4XbEsLX5XA8B3gHsAJzK5rnfnuHjaJIk9ayKPC5JkvpvkDl9fjHzzulcrwEeuNAbJiYmaDQaFYY0fiYnJ+3Tktmn1bBfyzdMfbp06UYAGo2dBhxJf/RUaM/My4G9IuL+FCPO2xckPZrNc6r3cs11bGXO1lYbJ7Z+JEnSdqoij0uSpP6rSU6f69hessA+AJrNZukLzI+7RqNhn5bMPq2G/Vq+YerTTZuKaWOGId6pqalFX6PXEe0AZOZ1C+z7waKjkSRJlTOPS5I0GgaU0+eL+LtQjKaftzN3HeUuSRpDa2abzK7dvL18RVFwn14JM9O9Lhk6PLar0B4RjwIeBzwY+GBmXh0RewHXOKWLJGkUrF41usnfPC5J0mgYUE6/gqLY/nTg4lYc9wT2AV5dUZuSpCEyMz3BzDR3LIQ6yvfX7XoqtLcWLv0g8Hzgd633n0uRZN8KXEnxmJokSaoZ87gkSaOh6pzeuv5erc0JYPeIWEYxTc2VEfGPwHER8SPgx8DxwEbgo9vbpiRJw67XrxNOoVhF/E+ABneeW/2LwLNKikuSJJXPPC5J0mioOqc/Hvh+62cH4KTW729sHX9HK4ZTgUuAXYFn+GScJGmc9Tp1zPOAIzPz/IiY7Dj2C+Ah5YQlSZIqYB6XJNXeuD1mvp0qzemZuY47F+87j88BJ7Z+JEkSvRfadwDusthKSwO4fXHhSJKkCpnHJUkaDeZ0SVLtjduX5r3+aS8GXrSFY88HLlpcOJIkqULmcUmSRoM5XZKkmul1RPvxwHkRcR7wKWAOeHZE/D1FMt+35PgkSVJ5zOOSJI0Gc7okSTXT04j2zLyAYrGVewCrKeZsOwnYE3haZl5ceoSSJHXhiCObd8zpqoWZxyVJdbZmtsnyFU3WXwrrL4XlK4rtNbPm907mdElSFbyvXpxeR7STmRcC+0TEDsAU8OvMvKn0yCRJUunM45KkupqZnmBm2sVQu2VOlySpXnoutM/LzJuBm0uMRZIk9Yl5XJKk0WBOlySpHrZZaI+Iiynme+tKZj5xURFJkqTSmMclSRoN5nRJkuqtmxHtP6SHZC5JkmrFPC5J0mgwp0uSVGPbLLRn5iF9iEOSJFXAPC5JGjbOzb4wc7okqSprZpvMrt28vXxFsV7K9MpiDRV1Z7vnaJckSZIkSZIkDTcXJC9HN3O0fwc4JDMv72ZOOOeBkySpPvqZxyNiX+Bo4HHAbsB0Zp7RdnwJ8AbgUGAK+DZweGb+cHvblCRpXHhvLklSvXU7R/vNbb87J5wkqTZ8xG2b+pnHdwIuA85s/XR6DfAq4BAggROAr0REZOaGCuOSJGkUeG8uSVKNLZmbG53cvGnTprkNG7xPL1uj0cB+LZd9Wg37tXzD1KfD8ojb1NTUkkHH0A8RsRE4Yn5Ee2s0+y+B1Zn5lta+HYBrgaMz8/3t7zenV2OY/k0PC/u0GvZr+ars02HJwWUbl5xeBvN6+fz/ZPns02rYr+Uzp1ejjLzeU69FxAkRsdsWju0aEScsNiBJklSNAefxhwK7AF+e35GZNwPfAJ5cYbuSJI0c780lSVVYvWpiLIvsZel1MdQ3AOdSjEjrtFvr+BsXG5QkSarEIPP4Lq3Xazr2XwM8sPPkiYkJGo1GRaGMr8nJSfu1ZPZpNezX8lXZp0uXbgSg0dipkutrQd6bS5JUM70W2pew5XngHgTcsLhwJElSheqQxzvbXzCmZrPpI6YV8NHd8tmn1bBfy1dln27aVDxmPm7/zaampgbZfB1yuiRpwMZ5qpc62mahPSJWAitbm3PAeyPiNx2n3RN4NG2Pg0uSpMGrUR6/uvW6C/Bfbft35q6j3CVJUoca5XRJkrSAbka03wRc1/p9CXAjcH3HObcB/wqcVl5okiSpBHXJ41dQFNufDlwMEBH3BPYBXl1hu5IkjYq65HRJkrSAbRbaM/NTwKcAImIWeFNm/qzqwCRJ0uL1M49HxE7AXq3NCWD3iFgGXJ+ZV0bEPwLHRcSPgB8DxwMbgY9WEY8kSaOkTvfmETEJnAi8ANgVuAr4CHBiZm4aREySJA1aT3O0Z+Y0QEQ8nGLet3sucM4XywlNkjTKyp5Lzjnptq0PefzxwPlt2ye1ftYChwDvAHYATgWmgG8Dz8jM8ZrUV5JGxJrZJrNrN28vX1Hk9umVMDNtXq5SDe7NXwscTjGVzQ+Ax1Dk+1uBN1XYriRJtdVToT0iHgl8EngUxaNqneaAyRLikiRJJas6j2fmui1cd/74HMXotxO3tw1JUn3MTE8wM+1CbINQg3vzJwPnZOY5re2fR8TngD+ssE1Jkmqtp0I7cDpwd+B5wOUU879JkqThYB6XJGk0DDqnXwAcFhGPyMwfRcSjgKcCJ/c5DkkaSz5VVk+9FtofCxyUmZ+vIhhJklQp87gkSaNh0Dn97UADuDwibqeoLbwlMxdchHViYoJGo9HP+Ebe5OSkfVoy+7Qa9mv5JicnOeoV9+GoV8DMoRsBWHP6TgOOStB7of2nLDD3W5VcZEWSpNL0PY9LkqRKDDqnHwi8CDgY+CGwDFgVEVdk5prOk5vNJhs2uCRLmRqNhn1aMvu0GvZr+dr7dNOmYiS7fbx4U1NTi75Gr88SvAo4NiL2XHTL3ZtfZOUVwCOAI1vbx/QxBkmSRsEg8rgkSSrfoHP6O4F/yMyPZ+YPMvNDwCl4ny5JGmO9jmg/GXgg8KOI+Dnw684TMvOJiw/rTlxkRZJGiHPJDdQg8rgkacS5COpADDqn7wjc3rHvdnofzCdJ0sjotdB+Weunn1xkRZJGyMz0BDPTcMSRRYHdm/O+GkQelyRJ5Rt0Tj8HeF1EXEExdcxjgVcCZw4wJkmqtSrugb2frpeeCu2ZOV1VIFvR9SIrLrBSDReuKJ99Wg37tXxV9unSpcWiLY2Gi7b0y4DyuCRJKlkNcvrLgTcBpwE7U6yl9s/AGwcZlCRJg9TriPZB6HqRFRdYqYYLV5TPPq2G/Vq+Kvt0XBdtKWOBFUmStpdPlKkMmbkBOKr1I0mS2I5Ce0QcCLwEeDgLrHKemTuXEFe7OxZZaW3/ICIeQrHIyl1WM5ckSVs2gDwuSZIqYE6XJKleehrGEBEHA2uB/wQeBHwO+HzrOr8BVpcdIC6yIkkDd8SRzTtGwGl4DSiPS5KkkpnTJUmqn16L1a+mmIft8Nb2aZn5YuChwP8CN5UY27z5RVaeExF7RMRzKRZZ+UwFbUmS+mT1qgkfW++/QeRxSZJUPnO6JA2JNbNNlq9osv5SWH8pLF9RbK+ZdTDbqOm1wvEw4MLMvJ1iVPm94Y752d4OHFFueECxyMpZFIus/AfwLopFVo6roC1JkkbZIPK4JEkqnzldkobEzPQEF6ybYNnesGxvuGBdsT0z7cCzUdPrHO03Avdo/f4/wCOBda3tJcD9ywlrMxdZkSSpNH3P45Kkenjv+2/hfadvHjm3fEXx+/RKvNEfTuZ0SZJqptdC+yXAY4AvUcwBd0JEbAJuA04Avl1ueJIkqUTmcUkaUy/7u3vygoN/d8eaK07fNvTM6ZIk1UyvhfaTgYe0fj+h9ftpwCRwMXBoeaFJkqSSmcclSRoN5nRJqljZX077Jffo66nQnpnfAr7V+v3XwP4RcQ/gHpn5mwrikyQNkI+ZjxbzuCRJo8GcLklS/fQ6ov0uMvNW4NYSYpEk1YyPmY8+87gk1Zuj6dQtc7okSYPVU6E9Ih61rXMy8/LtD0eSJFXFPC5J0mgwp0uSVD+9jmi/DJjbxjmT2xmLJEmqlnlckqTRYE6XpIqsmW0yu3bztlOoqlu9Ftr3W2Df/YBntH6OXHREkqRFc6oXbcFA83hETAInAi8AdgWuAj4CnJiZm6psW5KkEeO9uSRVZGZ6gplp76vVu14XQ/36Fg59JiLeDPw18PlFRyVJkkpXgzz+WuBwYCXwA+AxwFqK+WTfVGG7kjR0HE2nralBTpckSR0WvRhqm/OBT5d4PUlSTfgN/ljoRx5/MnBOZp7T2v55RHwO+MOK25WkoeNoOi2C9/jaFXMAACAASURBVOaSxpI5U4NWZqH9OcCvS7yeJEnqn37k8QuAwyLiEZn5o9ZCbk8FTu48cWJigkajUXE442dyctJ+LZl9Wg37dbOlSzcC0GjstKjr2KdjxXtzSZIGoKdCe0R8coHddwceATwMOLaMoCRJUvlqkMffDjSAyyPidorPIW/JzNM6T2w2m2zYsKHicMZPo9GwX0tmn1bDft1s06ZidN5i+8M+Ld/U1NTA2q5BTpekkefIePWq1xHtO3PXlc1vAb4JvDIzv1hKVJIkqQqDzuMHAi8CDgZ+CCwDVkXEFZm5puK2JWkoeZOvLRh0TpckSR16XQx1RUVxSJJK4MJp2poa5PF3Av+QmR9vbf8gIh4CHANYaJckqUs1yOlExK7A24BnUzyx9jPgZVtZqFWSKuF9sOqi16lj9u3l/Mz8Rm/hSJIWw4XTtDU1yOM7Ard37Lsd8C+qpJFhDlY/DDqnR8R9gQsp1l95DvArYE/g2jLbkaRueB+suuh16ph13PnxtCULbM+bAya3LyxJGi9+IFCfrGOwefwc4HURcQXF1DGPBV4JnFlyO5Ikjbp1DDanvwa4KjNf1LbvipLbkCRpqPRaaH8G8EHgXODTFN9W7wz8JfBM4MXAVWUGKEmSSjPoPP5y4E3Aaa12rwL+GXhjhW1KkjSKBp3TDwDOjYhPAPsBvwQ+AJyamZ1zx0uSNBZ6LbS/HDgzM4/v2H9uRLwZOCoz/6yc0CRJUskGmsczcwNwVOtHkkaK88OqzwZ9b74ncBjwbop52pcB72kdW9158sTEBI1Go8Jwxs/k5KR9WjL7tBpb69eZQzcCsOb0nUppa+nS4nqNRjnXqyv/rtZXr4X2P2GBpNnydbxxlqRacAoabYF5XJIq4vyw6rNB5/QJ4JLMPKa1/f2IeBhw+EJxNZtNNmzYUHFI46XRaNinJbNPq7G1ft20qciZZfX7P76LUq9XV/5drcbU1NSir9Hrp7/rgf23cOy5reOSJKmezOOSJI2GQef0q4DLO/b9B7B7xe1KklRbvY5ofxuwOiL2AD7H5nng9gf+FDii1OgkSVKZzOOS1KHsEeiOZFefDDqnXwhEx76HA7+ouF1Jkmqrp0J7Zp4WEf8DHEvxONhSYBOwHnheZv5L+SFK0uhyPlf1k3lckqTRUIOc/m7goog4DvgE8FjgFa14JEkaS72OaCczPwt8NiImgN8DfpWZzdIjk6Qx4Hyu6jfzuCRJo2GQOT0zL46IA4C3Aq8Hrmy9ntaP9iUNNwecaVT1XGif10rg15QYiyRJ6hPzuCRJo2FQOT0zvwB8od/tShp+DjjTqNruQrskjTM/EEiSNNwcTSdJUve8B5a2zUK7JEmSpLHjaDpJkiSVyUK7JEmSJEmSpL7yS26Nmq4L7RFxN+CJwBWZ+cvqQpKk8eMHDFXNPC5J0mgwp0uSVE+9jGi/Hfga8GzAZC5J0nAxj0saelVM8+KX3RpC5nRJkmqo60J7ZjYj4ifA71cYz4IiYlfgbRQfJBrAz4CXZebX+x2LpPHmwmkaVoPM45IkqTzmdEn95D2w1L1e/0UcB5wQEY+uIpiFRMR9gQuBJcBzgEcCLweu7VcMkobbEUc27xgBt1gz0xNcsG6CZXvDsr3hgnXFth8wNCT6nsclSVIlzOmS+sJ7YKl7vS6Gejxwf2B9RPwPcA0w135CZj6xpNjmvQa4KjNf1LbvipLbkCRpHAwij0vSojmaTroLc7okSTXTa6H9stZPPx0AnBsRnwD2o5iD7gPAqZk5t9V3SpKkdoPI45K0aDPTE8xMVzNHuzSkzOmStsqcKfVfT4X2zJyuKpCt2BM4DHg3xTzty4D3tI6tbj9xYmKCRqPR3+jGwOTkpP1aMvu0Glvq16VLNwLQaOxUWltVXLOO/Ls6WgaUxyWNMW/ypWqY0yVJqp9eR7QPwgRwSWYe09r+fkQ8DDicjkJ7s9lkw4YN/Y5v5DUaDfu1ZPZpNbbUr5s2FTf5ZfZ5FdesI/+ulm9qamrQIUiSJElST/zSXNq27Sq0R8RuwJOA+wHXA/+Wmb8sM7A2VwGXd+z7D+DIitqTpG3yQ4aGWZ/zuCSVxvwr3Zk5XZKk+uip0B4RkxTTtrwEmGw7dHtEnA68PDObJcYHcCEQHfseDvyi5HYkSRppA8rjnTHsSjEV3LOBBvAz4GWZ+fUq25UkaZTUIadLkqQ763VE+0nAi4FjgU9QrGz++8CBwBuB64ATygyQYm72iyLiuFabjwVe0YpBkrZozWyT2bWbt5evKO41plcWi6pJY2gQefwOEXFfii/QLwCeA/yKYi2Wa6tqU5KkETXQnC6pvrwPlgan10L7i4DjM/Mf2vZdCbwzIuYoCuClJvPMvDgiDgDeCry+1d7rgdPKbEfS6JmZnmBm2oXYpDZ9z+MdXgNclZkvatt3RYXtSRoQb/Klyg06p0uqKe+DpcHptdC+M/DvWzj2763jpcvMLwBfqOLakurHDwRSZQaSx9scAJwbEZ8A9gN+CXwAODUz5ypuW1IfeZMvVW7QOV1SycyZ0vDrtdD+Y+Ag4MsLHDsIyEVHJEmSqjLoPL4ncBjFtHBvA5ZRzC8LsLr9xImJCRqNRsXhjJ/JyUn7tWT26dYtXboRgEZjp57eZ7+Wzz4dOYPO6ZIkqUOvhfY3Ax+PiN2BsyjmgdsZ+CuKkWkHlRueJEkq0aDz+ARwSWYe09r+fkQ8DDicjkJ7s9lkw4YNFYczfhqNhv1aslHr07JH023aVFyv1z4atX6tA/u0fFNTU4NsftA5XZIkdejpE3RmfhJ4FnAvYBVwNvBPwI7AszLzU6VHKEmSSlGDPH4VcHnHvv8Adq+4XUmSRkoNcvqdRMSxETEXEau3fbakfli9asJpaKQ+2+a/uIj4YEQ8tPX7vsBFmfkkYAdgF2CHzHxyZn6l2lAlSVKvapbHLwSiY9/DgV/0oW1JkoZazXJ6e1x/BLyELc8ZL0nSWOhm6piVwPuAK4DzgScB38nMJnBthbFJkqTFq1MefzdwUUQcB3wCeCzwCuDYPschqU8cSSeVqk45HYCIuA/wEWAGOGEQMUjDbs1sk9m1m7eXryimXZteWSwuLml4dFNovwpYERGXA0uAe0bEjls6OTNvKis4SSqDN/kac7XJ45l5cUQcALwVeD1wZev1tKralCRphNQmp7c5HTgrM78WERbape0wMz3BzHT566RI6r9uCu2nA28DTgbmKL4535rJxQYlSZJKU6s8nplfAL5QZRuSeudoOmko1CqnR8RLgL2AF27r3ImJCRqNRpXhjJ3JyUn7tGSD7tOlSzcC0GjsNLAYqjDofh1F9ml9bbPQnplvjIgvAI8EzqRY3fynVQcmafx4ky+VzzwuqRuOppPqr045PSKC4gm1fTLztm2d32w22bBhQ/WBjZFGo2GflqzXPi07Z27aVFxv1P67+ne1fPZpNaamphZ9jW5GtJOZ3wW+GxF/Asxm5hWLblmSOniTL1XDPC5J0mioUU5/EvAA4LKi5g4UI+j3jYiXAvfKzFsHFJskSQPRVaF9XmZOVxWIJEmqlnlcGj1+OS2Npxrk9H8BLunYNwv8hGKk+zZHuUuSNGp6KrRL0kK8yZckSZLGR2b+Gvh1+76I+C1wfWZeNpiopOHm/bQ0/Cy0S5IkSQK8yZckSZK2l4V2SZIkSZK0KJm5YtAxSP2wZrbJ7NrN28tXFE94T68s1h2TNL4stEuSJEmSJEldmJmeYGbaKVQl3dU2/28QEQdHxP069u0eEUs79u0WEceWHaCk8bN61YQfVqSSmMel0bRmtsnyFU3WXwrrLy1G0y1f0WTNbHPQoUmqiDldkqR666aS9SFgr/mNiJgErgAe03Heg4E3lReaJEkqgXlcGkEz0xNcsG6CZXvDsr3hgnXFto+sSyPNnC5JUo11M3XMki73SRozzk0nDQXzuCRJo8GcLm0np3mR1A/O0S6NobI+ZDg3nSRJkiRpHHn/K6mT/1eQJEmSJEmSJGkRui20z3W5T5Ik1Y95XKqJI45s3vEkmCRtB3O6JEk11e3UMV+KiE0d+77asc9paCRJqifzuDSifGxdGjvmdKkHrismqZ+6ScAnVR6FJEmqinlckqTRYE6XeuS6YpL6aZuF9sw0mUuSNKTM45IkjQZzuiRJ9eYjZZIWzVEBkiRJkqSyOAJd0jDa7kJ7ROwIzACPAK4GzszMX5QVmKTyOT+dpHnmcam/zMGSqmJOl7bNgr2kfthmoT0i3gX8eWY+vG1fA7gYeBhwA3Af4FUR8cTM/HFVwUpaHOenk8aPeVyqB3OwpMUyp0uSVG/dfMLfD/hwx76jgYcDL8nMBwC7AT8HXl9qdJIkabFqm8cj4tiImIuI1f1sV5KkIVXbnC5JkrortO8BfLdj318Cl2fmBwEy81fAu4CnlBqdJI44snnH6DdJ2g57UMM8HhF/BLwE+Pd+tSlJ0pDbgxrmdEmSVOim0L4UuGV+IyLuBzwS+FrHeT8HdiktMkmSVIba5fGIuA/wEYr5ZG/oR5vS9vDLbkk1U7ucLpVtzWyT5SuarL8U1l9arGmyfEWTNbPmY0n1102h/cfAirbtP2u9fqnjvJ2B60uIaat8zFySpJ7UKo+3nA6clZmdhQFp5K1eNeH87JK2Vx1zulSqmekJLlg3wbK9YdnecMG6YtuFwyUNg20uhgqsBv65NfrsGuAVwBXAlzvOewZwWbnh3ZmPmUuS1LPa5HGAiHgJsBfwwq2dNzExQaPRqDqcsTM5OWm/9mDp0o0ANBo7bfEc+7Qa9mv57NORUKucLkmS7mybhfbMPCMidgUOB+4LfA84PDN/N39ORPwesD9wUlWBdjxmfkJV7UjjwJF00vioSx5vtRPAW4F9MvO2rZ3bbDbZsGFDleGMpUajYb/2YNOm4jH1rfWZfVoN+7V89mn5pqam+tpezXL6McDzgABuBb4FHJOZFvglSWOrmxHtZObJwMlbOf4rqp8D7o7HzCNiwUK7o9+q4eiX8vXSp92MplPBv6vls09HQ03yOMCTgAcAlxU1dwAmgX0j4qXAvTLz1j7EIUnSUKpRTl8BnAZcDCwB3gicFxGPykynrZEkjaVtFtoj4v4URe7TM7Nz7rf5c54JHAq8LDOvLTfE7h8zd/RbNRz9Ur5e+rSb0XQq+He1fPZp+fo9+q0OebzNvwCXdOybBX5CMdJ9q6PcJUkaZ3XK6Zn5zI52XwjcCDwFOKeqdjU+fApb0jDqZkT7UcCe3HXet3ZfpvhW/VXAa0uI6w69PGYujZI1s01m127eXr6iKLhPr8SFYCT1YqB5vF1m/hr4dfu+iPgtcL2PmqtOzMGSaqo2OX0BDWACuKGPbapGjjiyyJUWyCWNs24K7X8NnJKZc1s6ITPnIuL9wN9TfjL3MXONpZnpCWam/cAiadEGnceloWMOllRTdc7pq4D1wL8tdNBpXstXtykeR2HK07r16aiwX8tnn9ZXN4X2hwCXd3HefwB7LCqahfmYuYaKN+WSambQeXyrMnNFv9uUJGlI1TKnR8QpwHJgeWbevtA5TvNavrpN8TgKU57WrU9Hhf1aPvu0GmVM89pNof1m4N5dnLdT69xS+Zi5JEmLMtA8LkmSSlO7nB4R7wYOAvbLzJ/1o01JkuqqmyG33wP+oovz9m+dK0mS6sM8rrFxxJHNO54sk6QRVKucHhGrgIOBp2bmj6puT/W0ZrbJ8hVN1l8K6y8t1jVZvqLJmlnzsaTx082I9lOBT0bERZm5dqETIuJFwDRwYJnBbYmPmUuS1LXa5XFJkrRdapPTI+JU4IXAAcANEbFL69DGzNxYZduqF9c1kaTNtlloz8xPt76pno2II4BzgSuBOWB34JnA44F3Z+ZnqgxWkiT1xjwubT+LBZLqpGY5/bDW61c79p8EnFhx25Ik1VI3I9rJzFdFxDrgKOBo4B6tQ7cCFwL7Z+bnK4lQGnPe5EtaLPO4JEmjoS45PTOXVN2Ghov3rZLUZaEdIDPPAc6JiKXA/Vu7r8vMTZVEJg2ZNbNNZtse4Fy+onh0bnpl8TidJA2SeVyjzBwsaZyY01UGp3qRpPJ1XWif10re11QQizTUnJtO0jAwj2sUmYMljSNzuiRJ9bLNQntEnNDD9eYy802LiEfqO2/KJY0y87gkSaPBnC5JUr11M6L9ROBm4LfAtuZhmwNM5pIk1ceJmMclSRoFJ2JOlySptroptP+MYgXz7wIfBz6Tmb+pNCpJklQW87hqy6fKJKkn5nRJkmpsm3c1mbkX8GTghxTfiF8dEZ+OiL+KiB2qDlAaNqtXTVgwkFQb5nGNE3OwpFFmTlcZ1sw2Wb6iyfpLYf2lxQLiy1c0WTPbHHRokjT0uroTycxLMvPozNwdeBZwNbAauDYiPhIR+1YZpCRJ2n7mcUmSRoM5XYs1Mz3BBesmWLY3LNsbLlhXbM9M+0W1JC1Wz/8nzcxvZOZhwIOB9wEHAkeVHZhUNb/JlzSOzOOqA3OwJC2eOV2SpHrpZo72O4mIpwAHAc8HGsBZwHtLjkuq3Mz0BDPTzg8rabyYx1UH5mBJWjxzuiRJ9dJVoT0i/oAigR8I/D5wLvD3wOcy86bqwpMkSYtlHpckaTSY0yVJqq9tFtojIoGHAl8D3gB82pXNJUkaDuZxSZJGgzldkqR662ZE+8OAW4DHAX8AvCMitnhyZu5cTmiSJKkE5nHVllPGSFJPzOkqjTlYksrXTaH9pMqjkHpQ9nyufsCQNOLM45IkjQZz+hhzXRNJqr9tFtoz02QuSdKQMo+rTN7kS9LgmNMlSaq3rhZDlSRJWqyIOAZ4HhDArcC3gGMy87KBBiZJkiRJ0iI5HEmSJPXLCuA04MnAU4FNwHkRcb9BBiVJkiRJ0mI5ol2SJPVFZj6zfTsiXgjcCDwFOGcgQUmSJEmSVAIL7Roaa2abzK7dvL18RTFP7PRKmJn24QxJGkINiqfrbhh0IJIkSXW0pfvglx56Cy84eEBBSZIWtGRubm7QMZRm06ZNcxs2bBh0GCOn0WhQp34dhYXY6tano8J+LZ99Wr6pqaklg46hLiLik8DDgMdn5u3tx5rN5lyz2RxMYCNscnKS22+/fdsndnjv+2/hfaffepf9Lz30Hrzs7+5ZRmhDa3v7VFtnv5bPPi3f0qVLxz6nR8RhwKuBXYEfAkdl5jc7z/NeffE674P9nF4++7Qa9mv57NNqlHGv7oh2SZLUdxFxCrAcWN5ZZAdoNpt+eKzA9n4of8HB8IKDJxb4svt3bNjwuxIjHD7e6FTDfi2ffVq+qampQYcwUBFxILAKOAy4oPX6rxHxqMy8cqDBSZI0AD0X2iNiErgNeEJmfq9t/x8CF2XmZInxSZKkEtUhj0fEu4GDgP0y82dVtydJ0iiqQU5/JXBGZv5za/vlEfEs4GXAMRW3LUlS7WzviPaxf0RO3RuFqV4kacQMLI9HxCqKIvuKzPzRoOKQJGlEDCSnR8TdgccB/9Bx6MvAkzvPn5iYoNFo9CO0kbX2g3fenpyctE9LZp9Ww34tn31aX04do6FjwV6ShlNEnAq8EDgAuCEidmkd2piZGwcXmSRJ6tEDgEngmo791wBP6zzZKeHK53RQ5bNPq2G/ls8+rUYZU8ItptA+OquoSpI0fgaRxw9rvX61Y/9JwIn9DWX0VfFEmV92S1ItDfLevLPtJQvskyRpLHRdaI+IJndOmJdEBADOyy5JUr3VIY9nplPPSZK0SHXI6cD/ArcDu3Ts35m7jnKXJGks9DKifb+293yFYoGTLD0ijYw1s01m127eXr6iGFk3vRJmph0RJ0l9Zh6XJGk0DDynZ+ZtEfFd4OnAp9oOPR04u5+x1JHrlEnSeOq60J6ZX4c7VjYHuKR9ZfOqRMQxwPOAAG4FvgUck5mXVd22FmdmeoKZaT9kSFIdDCqPS5KkctUop58CfCgivgNcCLwU2A143wBikSRp4Iah8rkCOI1i5fKnApuA8yLifoMMSpIkSZKkcZWZnwCOAo4H1gPLgWdn5i8GGpgkSQOymMVQF1L63KuZ+cz27Yh4IXAj8BTgnLLbkyRpjDmH+gjY2tRtR71iQEFJkvqtLzk9M0+jGBgnSdLY63lEe2beDkwDV3Qc+mlrf9UaFHHf0Ie2JEkaKTXI46rYzPQEF6ybYNnesGxvuGBdse36KJI0WszpkiTVy3aNaM/MtQvs+1/gLvsrsIrisbR/6zwwMTFBo9HoQwija+bQjQCsOX2nO/ZNTk4uql/XfnDRYY2cxfapFma/ls8+HU0DzuOSJKkk5nRJkuqj7KljKhURp1DM+7a89e39nTSbTTZs2ND/wEbIpk3F4+Xt/dhoNOzXktmn1bBfy2eflm9qamrQIUiSJKkCW5u+zSfLJGn0DU2hPSLeDRwE7JeZPxt0PJIkSZIkSfNmpieYmYYjjiwK7KtXWVyXpHEyFIX2iFhFUWRfkZk/GnQ8kiRJdefNvSRJkiT1T+0L7RFxKvBC4ADghojYpXVoY2ZuHFxkkiRJkiRJkiTBMAx1OgxoAF8Frmr7OXqQQY2aNbNNlq9osv5SWH9pMZfc8hVN1sw2Bx2aJEmSJEmSJNXado1oj4hHAY8DHgx8MDOvjoi9gGsys9RV8zJzSZnX08KcS06Sxkc/87gkSaqOOV2SpProqdAeETsBHwT+EtjUev+5wNXAW4ErcaS5JEm1ZB6vN7/sliR1y5xeb+ZySRpPvf7f/xTgycDTKKZzaR9t/kXgWSXFJUmSymcelyRpNJjTJUmqmV4L7c8DXpuZ5wO3dxz7BfCQUqKSJElVMI9LkjQazOmSJNVMr3O07wBct4VjDe6a4DVkfMRNkkaaeVySpNFgTpckqWZ6rapeDLxoC8eeD1y0uHAkSVKFzOOSJI0Gc7okSTXT64j244HzIuI84FPAHPDsiPh7imS+b8nxSdL/3979R9tV1ncef+cmBRQuNcpYQy1MtfKtWAddMEzRqEENUtBVqlX8MRZuoxYwECdFpwi1UmitggwI0ijSgFiRiqUqhQF/NBYQAZlaJ6JfyypCQQ1GRggVSJOb+WPvSw6HG+75sfc5+5z7fq111z37xzn7myf33s85z977eSRVxxxvoAvXTrP24u3LS5cVk6JOHQUrprzTTJI0KzNdkqSG6erTW2ZeD7wC2Bk4j2LClVOBZwGvzMxbKq9QkiRVoik5HhHHRcQdEfFwRNwaES8ZxHGbasXUBNevm+AF+8EL9oPr1xXLdrJLknakKZk+LlaummblqulhlyFJGnHdXtFOZt4AvCQingQsBn6WmT+vvDJ1ZObNgGOrS5I6Mewcj4gjgXOA44Dry+9XR8S+mXnXoOqQJGnUDTvTJUnSY3Xd0T4jMx8CHqqwFkmSNCBDzPHVwEWZeUG5fHxEHAocC5w0hHokSRppfjaXJKkZuupoj4h959onM2/rvRxJklSXYed4ROwE7A+c2bbpWuBFdR1XkqRxM8xMj4inUgxTsxzYG9gIXAmckpk/reOYkiSNgm6vaF9PMcnKE1nYYy2SJKlew87xPcrX39C2fgPwytYVExMTTE5O1lhK8yxa9CAAk5O71XaMhQsXzrt2rZttWg/btXq26dgZZqbvCfwy8B7gtvLx+cClwCE1HVOSpMbrtqP94FnWPZUiTA8BVvVdkSRJqktTcry9Y2BB+7rp6Wk2bdo0oHKa4ewPF9/r/HdPTk7Ou3atm21aD9u1erZp9RYvXjzMww8t0zNzPfDallW3R8S7gSsjYvfMfKCuY0uS1GRddbRn5td2sOmKiDgdeAPFLWOq2YVrp1l78fblpcuKSVGnjoIVU06MKkl6vAbk+EZgK/CMtvVP5/FXuUuSpB1oQKa32x14BHAyVknSvNXzZKiz+Afgbyt8PT2BFVMTrJiClauKDvbzzrFzXZLUl9pzPDM3R8StFGO6frZl03Lgc3UeW5KkeWSgn80j4inAacAFmblltn2aPiTcIIZvq5rDQVXPNq2H7Vo927S5quxoPxz4WYWvJ0mSBmdQOX4WcElE3AzcABxDMdbrmgEcW5Kk+aCnTC+vhD95jt0Ozsx1Lc/ZFfgicA/FmO2zauqQcO13iu+3//3AaNwp7nBQ1bNN62G7Vs82rUcVQ8J11dEeEX8zy+qdgF8HngO8t++KJElSLZqQ45l5WUQ8DTgFWEIxmdthmXln3ceWJGlc1JTpZwOfmmOfu1pq2A24qlx8dWY+3MMxh8o7xSVJVer2ivb/NMu6h4HrgNWZedUs21Uj3whIkrrQiBzPzPOB8wdxLEmSxlTlmZ6ZGynmU5lTREwCV1NMaH5oZj7Y7fEkSRo33U6GOtvM5pIkaQSY45IkjYdhZnrZyX4txQSoRwC7lkPIANyXmZuHVZskScNU5RjtkiRJ84a3mUuS5qn9gd8sH3+/bdvBwLqBViNJUkPM2dEeEbcA2zp9wcw8sK+KJElSZcxxSZLGQ1MyvZwMdUEdry1J0ijr5Ir279BFmEuSpEYxxyVJGg9muiRJDTZnR3tmHj2AOiRJUg3M8epduHaatRdvX166rBhCZuooWDHlMDKSpHqY6ZIkNZtjtA+Y47lKkjTaVkxNsGLKTJckaVyY5ZKkKnTd0R4RRwJvB/YBdmnfnplPr6AuSZJUA3NckqTxYKZLktQsXZ22jYg3AxcDtwPPBL4AXFm+zgPAeVUXKEmSqmGOS5I0Hsx0SZKap9v7o94NnAa8s1w+PzN/H/hVYCPw8wprkyRJ1TLHK3TeORPeai5JGhYzXZKkhun20+FzgBsycyuwFdgdIDM3AR8EVlZbniRJqpA5LknSeDDTJUlqmG472u8Hdi4f3wM8t2XbAuBpVRQ1ji5cO83SZdN865/hW/8MS5cVyxeunR52aZKk+cMclyRpPJjpkiQ1TLeToX4T+C/ANRRjwL0vIrYAm4H3ATdVW952EXEcxe1xS4Dvhr9MXQAAEc1JREFUAO/KzOvqOl7VVkxNsGIKVq4qOta91VySNARDy3FJklQpM12SpIbptqP9A8De5eP3lY/PBxYCtwDvqK607crZ1M8BjgOuL79fHRH7ZuZddRxTkqQxNJQclyRJlTPTJUlqmDk72iPiFzLzPwAy8xvAN8rHPwN+OyJ2BnbOzAdqrHM1cFFmXlAuHx8RhwLHAifVeFxJkkZaQ3JckiT1yUyXJKnZOrmi/ccR8TngUmBdZm5r3ZiZjwCP1FEcQETsBOwPnNm26VrgRXUdV5KkMTHUHJckSZUx0yVJarBOOtovBV4HrAA2RMRlwKWZeXOtlW23B8Xtbxva1m8AXtm6YmJigsnJyQGV1ZuL/2rYFXRv4cKFjW/XUWOb1sN2rZ5tOhaGneOSJKkaZrokSQ02Z0d7Zq6MiBOAlwNvBN4KnBARdwKfBj6TmevrLROAbW3LC9rXTU9Ps2nTpgGUMr9MTk7arhWzTethu1bPNq3e4sWLB3q8BuW4JEnqg5kuSVKzdTQZamZOA18GvhwRxwCHAkcCxwMnRcR3gb8GLsvMf624xo3AVuAZbeufzuOvcpckSW2GnOOSJKkiZrokSc010e0TMnNLZl6ZmW+l6Ox+PfA94DTg+xXXR2ZuBm4FlrdtWg58verjSZI0zgad45IkqR5muiRJzdLRFe1P4IXASykmJZ0AftBvQTtwFnBJRNwM3AAcA+wJrKnpeJIkzQeDynEi4qnAqRQnyvemuGPtSuCUzPxpXceVJGmeGFimS5Kk2XXd0R4RL6QYD+4NwF7AvcBnKSZhubHa8gqZeVlEPA04BVgCrAcOy8w76zieJEnjahg5XtoT+GXgPcBt5ePzKSZ2O6TG40qSNJaGmOmSJGkWHXW0R8RzKQL8SOA5wP3AFRQfjr9ajhNXq8w8n+IDuSRJ6kJDcnw98NqWVbdHxLuBKyNi98x8oO4aJEkadU3I9LZ6FgBXA68CXp+Zlw/y+JIkNcmcHe0R8W3gecBDFLd4/0/g6nLsdEmS1GANz/HdgUeAnw+7EEmSmq6hmf6HwNZBH3TlquJ8wnnndD3tnCRJtenkivY7gb8APp+Z/15zPZIkqVqNzPGIeArFZG0XZOaW9u0TExNMTk4OvrAxt3DhQtu1YrZpPWzX6tmmY6FRmR4RBwCrgP2BDUMuR5KkoZuzoz0zXzOIQiRJUvXqzvGIOB04eY7dDs7MdS3P2RX4InAPxZjtjzM9Pc2mTZuqKlOlyclJ27Vitmk9bNfq2abVW7x48UCP16TP5hExSTFczR9k5r0RMeySJEkauq4nQ5UkSWpxNvCpOfa5a+ZBROwGXFUuvjozH66rsHbeZi5JUmXWAP87M6+ac0+qv1Nt0aIHAZic3K2y1xw13qVSPdu0HrZr9WzT5rKjXZIk9SwzNwIbO9m3vPrtamABcGhmPlhnbZIkqXOd3qUG/AqwH3BAp69d9Z1qW7YUJ8/n810a3qVSPdu0HrZr9WzTelRxp5od7XPw6jdJkvpXdrJfSzEB6hHAruUQMgD3NWRyVkmS5rNO71I7GtgXeLBtyJjLIuLGzFxaT3mSJDWbHe2SJGkQ9gd+s3z8/bZtBwPrBlqNJEl6jE7vUouIk4Ez21b/X+BE4PM1lCZJ0kiwo12SJNWunAx1wbDrkCRJ/cnMeygmNH9UeWX7v2Xmv9Z57AvXTrP24u3LS5cVd6BPHQUrprwLXZI0XHa0S5KkseaHckmSxsOKqQlWTDnEqySpmexolyRJY80P5ZIk1SszvWtNkjTv2dG+A179JkmSJEmSJEnqhB3tO+DVb5IkSZIkSZKkTth7LEmSJEmSJElSH+xolyRJkiRJkiSpDw4dMweHjJEkaTyY6ZIkjQczXZLURKaTJEmSJEmSJEl9sKNdkiRJkiRJkqQ+2NEuSZIkSZIkSVIf7GiXJEmSJEmSJKkPdrRLkiRJkiRJktQHO9olSZIkSZIkSeqDHe2SJEmSJEmSJPXBjnZJkiRJkiRJkvpgR7skSZIkSZIkSX2wo12SJEmSJEmSpD4s2LZt27BrkCRJkiRJkiRpZHlFuyRJkiRJkiRJfbCjXZIkSZIkSZKkPtjRLkmSJEmSJElSH+xolyRJkiRJkiSpD4uGXUA3IuI44N3AEuA7wLsy87on2P9lwFnA84AfAh/KzDWDqHWUdNOuEfFa4BjghcAuwG3An2XmFwZU7kjo9me15XlLgXXA9zLzN2otcsT08Pu/E3AK8FZgT2ADcGZmfmQA5Y6MHtr1zcB7gH2AB4AvAydm5o8HUG7jRcRLgROB/Sl+7qYy86I5nvN84DzgQOA+4GPAaZk51rOVm+n1MNOrZ6ZXz0yvh5leLTO9c2Z6Pcz06pnp9TDXq2emV2uQmT4yV7RHxJHAOcCfU4TH14GrI2KvHez/q8BV5X4vBD4AnBsRrxtMxaOh23YFXgZ8FTi83P8q4IqIeMkAyh0JPbTpzPMWA58EvlJ7kSOmxza9FDgUeAcQwOuBb9dc6kjp4e/qi4FLgIspPhgdAewL/PVACh4NuwHrgVXAQ3PtHBG7A1+ieHP5X4ETKN5Qra6xxqEz0+thplfPTK+emV4PM70WZnoHzPR6mOnVM9PrYa5Xz0yvxcAyfZSuaF8NXJSZF5TLx0fEocCxwEmz7H8M8MPMPL5c/m5E/DeKMxifq73a0dFVu2bmqrZVp0bE4RS/yHOeCZ4nuv1ZnXEhxR/GBcDv1lviyOmqTSPiEOCVwLMzc2O5+geDKHTEdPuzehBwd2b+r3L5jog4Fzi3/lJHQ2ZeRfHBhoi4qIOnvAV4MnBUZj4ErI+I5wKrI+KsMb4Czkyvh5lePTO9emZ6Pcz0ipnpHTPT62GmV89Mr4e5Xj0zvWKDzPSRuKK9vK1kf+Datk3XAi/awdMOmmX/a4ADIuIXqq1wNPXYrrOZBP5fVXWNsl7btLwt6BnA6fVVN5p6bNMjgFso/gjeHRH/EhEfiYjdaix1pPTYrjcASyLiNRGxICL2AN5IGVjqyUHAdWV4z7iG4na2/zyUimpmptfDTK+emV49M70eZnpjmOnbmel9MNOrZ6bXw1yvnpneGD1n+kh0tAN7AAspLtlvtYHij95snrGD/ReVr6fe2vUxIuKdwDMpblNRD21ajvv0J8BbMnNrveWNpF5+Tp8FLAX2A14HrKS4Ne2iekocSV23a2beCLyJ4ha0zcBPKK7sOKq+MsfejrJqZts4MtPrYaZXz0yvnpleDzO9Gcz07cz0/pjp1TPT62GuV89Mb4aeM31UOtpntF+av2CWdXPtP9v6+a7bdgWgHEfvDIrgubOOwkZYR20aETsDn6GYpOKOQRQ2wrr5OZ0ot705M2/KzGsoAvx1EfFLNdY4ijpu14jYF/gIcBrFWfZDKULmY3UWOA/M16wy0+thplfPTK+emV4PM3345mtWmen1MNOrZ6bXw1yvnpk+fD1l1aiM0b4R2Mrjzxo8ncefYZjx4x3svwX4aaXVja5e2hV4NLwvAX7Pmcwfo9s2XUIxScXaiFhbrpsAFkTEFuCwzGy/ZWi+6eXn9EfAPZl5f8u675bf93qC580nvbTrScDNmXlGufztiPh34LqIODkz/62eUsfajrIKxvfn1Eyvh5lePTO9emZ6Pcz0ZjDTtzPT+2OmV89Mr4e5Xj0zvRl6zvSRuKI9MzcDtwLL2zYtp5h9dzY3Ukyw0L7/NzPzP6qtcDT12K5ExBuATwFHZ+bl9VU4enpo03uA5wMvaPlaA9xePt7h/8N80ePP6Q3Anm3jvO1TfveqDnpu1ydThH6rmeUFqBc3Ai+JiF1a1i0HfsiYTgpkptfDTK+emV49M70eZnpjmOnbmel9MNOrZ6bXw1yvnpneGD1n+qhc0Q5wFnBJRNxM8Yt5DMUg9GsAIuKTAJn5e+X+a4CVEXE2xe0SLwaOphi3SNt11a4R8UaKM+QnAv8YETNneDZn5n0Drr2pOm7T8s3k+tYnR8S9wCOZ+Zj181y3v/+fBv6Y4gqE9wNPAc4BLs/MewdbeqN1265fBC6IiGMpJgJZApwN/J/MvGvAtTdS+Ybx18rFCWCviHgBcF9m3hURHwAOzMxXlPt8mmLsx4si4nSKN5l/BJz6RDOZjwEzvR5mevXM9OqZ6fUw0ytmpnfMTK+HmV49M70e5nr1zPSKDTLTR+KKdoDMvAx4F3AK8C2KyRMOaxlzbK/ya2b/O4DDgJeW+58MnJCZnxtk3U3XbbtS/IIvovil/VHL198Oquam66FNNYcefv8fpLhS5hcpZjT/G+BrwO8PsOzG66FdLwJWU4yhtx64HPgX4LcHV3XjHQD8U/n1JODU8vGfltuXAM+e2bm8ZXI5xRunbwIfBT5M8eZqbJnp9TDTq2emV89Mr4eZXgszvQNmej3M9OqZ6fUw16tnptdiYJm+YNu2cT65LkmSJEmSJElSvUbminZJkiRJkiRJkprIjnZJkiRJkiRJkvpgR7skSZIkSZIkSX2wo12SJEmSJEmSpD7Y0S5JkiRJkiRJUh/saJckSZIkSZIkqQ+Lhl2ApO5ExNHAscBvAFuBW4EzM/Pvh1jTgcBhmfn+tvXvB1Zm5h7l8jLgH4DnZ+b6AZcpSVKjmOmSJI0HM10SeEW7NFIi4i+BTwA3AUcARwJ3AVdGxP8YYmkHAn8yy/pPAK8acC2SJDWemS5J0ngw0yXN8Ip2aURExBHAMcCxmbmmZdPVEfFj4IyI+Epmfns4FT5eZt4N3D3sOiRJahIzXZKk8WCmS2plR7s0OlYBtwMXzLLtz4E/AFYC74iIHwCXZ+aJMzuUt7KtBSYz88GI2BX4ILAc+BVgA3AVcFJmPtDyvG3Au4BfAt4ObAM+C6zOzEfK1z23ZV+Ar2XmsvZb0mYTERPAe4C3lXXcCfxZZl7cacNIkjRizHRJksaDmS7pUQ4dI42AiFgEHAR8MTO3tm/PzPspxlR7WRcv+2RgIXAy8FvAHwMvpwjndn8I7An8d+AMijcLq8ptfw98uHx8UPl1XBd1nAucAnwcOBy4AviriHh1F68hSdJIMNMlSRoPZrqkdl7RLo2GPYCdKc4i78idwCGdvmBm/oRishbg0TcJdwDXR8RemXlXy+4/yMyjy8fXRMSLgdcCH8rMn5Rn5snMb3R6/PKYv1bWMNVyZvzLEbGEYiy5K7t5PUmSRoCZLknSeDDTJT2GHe3SeNk29y7bRcRbgdXAc4BdWzbtQzF5y4xr2556G3BALwW2eQUwDVxRvoGY8RXgTRGxcLYrAyRJmgfMdEmSxoOZLs0TdrRLo2Ej8Aiw9xPsszfwo05fMCJ+B/gk8JfAe4H7gCUUt4Tt0rb7z9qWN8+yTy/2oLgt7v4dbF+Ck7RIksaLmS5J0ngw0yU9hh3t0gjIzC0R8XXg8Ig4MTOnW7dHxO7AMuAL5aqHgZ3aXuapbcuvB27KzEfHaYuIbsaOq8J9wBbgxRRnzNvdO9hyJEmql5kuSdJ4MNMltbOjXRodH6E4i/02iglJWv0R8BSK2cqhOLv83LZ9lrctP4ni7Hurt/RY22aAiNglMx/u4nlfpThT/ouZ+aUejy1J0qgx0yVJGg9muqRH2dEujYjM/LuIWAN8NCL2pZiAZBFwJHA0cF5mrit3vwI4NyLeC9xCMSHK89pe8kvla50M3AQcRjEWWy++V35fFRFfBR7IzOzg35Tlv+kzEfEh4JsUt7o9D9gnM9/WYz2SJDWWmS5J0ngw0yW1sqNdGi3HUYTtscDbgSeX608CPtiy38eBZwMnUMyC/kngdOBjLft8DHgWsIoiNL8EvBnoakby0nXAGeVrfQD4R4pb5DrxTuD7FP+ePwUeoJjE5cIe6pAkaVSY6ZIkjQczXRIAC7Zt62ryY0kNEhHPpDgT/k/Aa5z5W5Kk0WSmS5I0Hsx0af6aGHYBknqXmXcDvwO8nGJsOEmSNILMdEmSxoOZLs1fXtEuSZIkSZIkSVIfvKJdkiRJkiRJkqQ+2NEuSZIkSZIkSVIf7GiXJEmSJEmSJKkPdrRLkiRJkiRJktQHO9olSZIkSZIkSeqDHe2SJEmSJEmSJPXBjnZJkiRJkiRJkvrw/wE4r43KLBmM3gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1490.4x331.2 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"coords = {\"school\": [\"Deerfield\", \"Lawrenceville\"]}\n",
"az.plot_mcse(\n",
" centered_data, var_names=[\"mu\", \"theta\"], coords=coords, errorbar=True\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pair Plot"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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