{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A Primer on Bayesian Methods for Multilevel Modeling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hierarchical or multilevel modeling is a generalization of regression modeling.\n",
    "\n",
    "*Multilevel models* are regression models in which the constituent model parameters are given **probability models**. This implies that model parameters are allowed to **vary by group**.\n",
    "\n",
    "Observational units are often naturally **clustered**. Clustering induces dependence between observations, despite random sampling of clusters and random sampling within clusters.\n",
    "\n",
    "A *hierarchical model* is a particular multilevel model where parameters are nested within one another.\n",
    "\n",
    "Some multilevel structures are not hierarchical. \n",
    "\n",
    "* e.g. \"country\" and \"year\" are not nested, but may represent separate, but overlapping, clusters of parameters\n",
    "\n",
    "We will motivate this topic using an environmental epidemiology example."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example: Radon contamination (Gelman and Hill 2006)\n",
    "\n",
    "Radon is a radioactive gas that enters homes through contact points with the ground. It is a carcinogen that is the primary cause of lung cancer in non-smokers. Radon levels vary greatly from household to household.\n",
    "\n",
    "![radon](http://www.fix-your-radon.com/images/how_radon_enters.jpg)\n",
    "\n",
    "The EPA did a study of radon levels in 80,000 houses. Two important predictors:\n",
    "\n",
    "* measurement in basement or first floor (radon higher in basements)\n",
    "* county uranium level (positive correlation with radon levels)\n",
    "\n",
    "We will focus on modeling radon levels in Minnesota.\n",
    "\n",
    "The hierarchy in this example is households within county. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data organization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we import the data from a local file, and extract Minnesota's data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set_context('notebook')\n",
    "sns.set_style('white')\n",
    "\n",
    "from pymc3 import get_data\n",
    "\n",
    "# Import radon data\n",
    "srrs2 = pd.read_csv(get_data('srrs2.dat'))\n",
    "srrs2.columns = srrs2.columns.map(str.strip)\n",
    "srrs_mn = srrs2[srrs2.state=='MN'].copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, obtain the county-level predictor, uranium, by combining two variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "srrs_mn['fips'] = srrs_mn.stfips*1000 + srrs_mn.cntyfips\n",
    "cty = pd.read_csv(get_data('cty.dat'))\n",
    "cty_mn = cty[cty.st=='MN'].copy()\n",
    "cty_mn[ 'fips'] = 1000*cty_mn.stfips + cty_mn.ctfips"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the `merge` method to combine home- and county-level information in a single DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "srrs_mn = srrs_mn.merge(cty_mn[['fips', 'Uppm']], on='fips')\n",
    "srrs_mn = srrs_mn.drop_duplicates(subset='idnum')\n",
    "u = np.log(srrs_mn.Uppm)\n",
    "\n",
    "n = len(srrs_mn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>idnum</th>\n",
       "      <th>state</th>\n",
       "      <th>state2</th>\n",
       "      <th>stfips</th>\n",
       "      <th>zip</th>\n",
       "      <th>region</th>\n",
       "      <th>typebldg</th>\n",
       "      <th>floor</th>\n",
       "      <th>room</th>\n",
       "      <th>basement</th>\n",
       "      <th>...</th>\n",
       "      <th>stopdt</th>\n",
       "      <th>activity</th>\n",
       "      <th>pcterr</th>\n",
       "      <th>adjwt</th>\n",
       "      <th>dupflag</th>\n",
       "      <th>zipflag</th>\n",
       "      <th>cntyfips</th>\n",
       "      <th>county</th>\n",
       "      <th>fips</th>\n",
       "      <th>Uppm</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5081</td>\n",
       "      <td>MN</td>\n",
       "      <td>MN</td>\n",
       "      <td>27</td>\n",
       "      <td>55735</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>12288</td>\n",
       "      <td>2.2</td>\n",
       "      <td>9.7</td>\n",
       "      <td>1146.499190</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>27001</td>\n",
       "      <td>0.502054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5082</td>\n",
       "      <td>MN</td>\n",
       "      <td>MN</td>\n",
       "      <td>27</td>\n",
       "      <td>55748</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>Y</td>\n",
       "      <td>...</td>\n",
       "      <td>12088</td>\n",
       "      <td>2.2</td>\n",
       "      <td>14.5</td>\n",
       "      <td>471.366223</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>27001</td>\n",
       "      <td>0.502054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5083</td>\n",
       "      <td>MN</td>\n",
       "      <td>MN</td>\n",
       "      <td>27</td>\n",
       "      <td>55748</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>Y</td>\n",
       "      <td>...</td>\n",
       "      <td>21188</td>\n",
       "      <td>2.9</td>\n",
       "      <td>9.6</td>\n",
       "      <td>433.316718</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>27001</td>\n",
       "      <td>0.502054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5084</td>\n",
       "      <td>MN</td>\n",
       "      <td>MN</td>\n",
       "      <td>27</td>\n",
       "      <td>56469</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>Y</td>\n",
       "      <td>...</td>\n",
       "      <td>123187</td>\n",
       "      <td>1.0</td>\n",
       "      <td>24.3</td>\n",
       "      <td>461.623670</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>AITKIN</td>\n",
       "      <td>27001</td>\n",
       "      <td>0.502054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5085</td>\n",
       "      <td>MN</td>\n",
       "      <td>MN</td>\n",
       "      <td>27</td>\n",
       "      <td>55011</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>Y</td>\n",
       "      <td>...</td>\n",
       "      <td>13088</td>\n",
       "      <td>3.1</td>\n",
       "      <td>13.8</td>\n",
       "      <td>433.316718</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>ANOKA</td>\n",
       "      <td>27003</td>\n",
       "      <td>0.428565</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   idnum state state2  stfips    zip  region  typebldg  floor  room basement  \\\n",
       "0   5081    MN     MN      27  55735       5         1      1     3        N   \n",
       "1   5082    MN     MN      27  55748       5         1      0     4        Y   \n",
       "2   5083    MN     MN      27  55748       5         1      0     4        Y   \n",
       "3   5084    MN     MN      27  56469       5         1      0     4        Y   \n",
       "4   5085    MN     MN      27  55011       3         1      0     4        Y   \n",
       "\n",
       "     ...     stopdt activity  pcterr        adjwt  dupflag  zipflag  cntyfips  \\\n",
       "0    ...      12288      2.2     9.7  1146.499190        1        0         1   \n",
       "1    ...      12088      2.2    14.5   471.366223        0        0         1   \n",
       "2    ...      21188      2.9     9.6   433.316718        0        0         1   \n",
       "3    ...     123187      1.0    24.3   461.623670        0        0         1   \n",
       "4    ...      13088      3.1    13.8   433.316718        0        0         3   \n",
       "\n",
       "                 county   fips      Uppm  \n",
       "0  AITKIN                27001  0.502054  \n",
       "1  AITKIN                27001  0.502054  \n",
       "2  AITKIN                27001  0.502054  \n",
       "3  AITKIN                27001  0.502054  \n",
       "4  ANOKA                 27003  0.428565  \n",
       "\n",
       "[5 rows x 27 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "srrs_mn.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also need a lookup table (`dict`) for each unique county, for indexing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "srrs_mn.county = srrs_mn.county.map(str.strip)\n",
    "mn_counties = srrs_mn.county.unique()\n",
    "counties = len(mn_counties)\n",
    "county_lookup = dict(zip(mn_counties, range(len(mn_counties))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, create local copies of variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "county = srrs_mn['county_code'] = srrs_mn.county.replace(county_lookup).values\n",
    "radon = srrs_mn.activity\n",
    "srrs_mn['log_radon'] = log_radon = np.log(radon + 0.1).values\n",
    "floor_measure = srrs_mn.floor.values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Distribution of radon levels in MN (log scale):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAFJCAYAAABKLF7JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e41a588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "srrs_mn.activity.apply(lambda x: np.log(x+0.1)).hist(bins=25);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conventional approaches\n",
    "\n",
    "The two conventional alternatives to modeling radon exposure represent the two extremes of the bias-variance tradeoff:\n",
    "\n",
    "***Complete pooling***: \n",
    "\n",
    "Treat all counties the same, and estimate a single radon level.\n",
    "\n",
    "$$y_i = \\alpha + \\beta x_i + \\epsilon_i$$\n",
    "\n",
    "***No pooling***:\n",
    "\n",
    "Model radon in each county independently.\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta x_i + \\epsilon_i$$\n",
    "\n",
    "where $j = 1,\\ldots,85$\n",
    "\n",
    "The errors $\\epsilon_i$ may represent measurement error, temporal within-house variation, or variation among houses."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the point estimates of the slope and intercept for the complete pooling model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pymc3 import Model, sample, Normal, HalfCauchy, Uniform\n",
    "\n",
    "floor = srrs_mn.floor.values\n",
    "log_radon = srrs_mn.log_radon.values\n",
    "\n",
    "with Model() as pooled_model:\n",
    "    \n",
    "    beta = Normal('beta', 0, sd=1e5, shape=2)\n",
    "    sigma = HalfCauchy('sigma', 5)\n",
    "    \n",
    "    theta = beta[0] + beta[1]*floor\n",
    "    \n",
    "    y = Normal('y', theta, sd=sigma, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,166.9:  22%|██▏       | 11171/50000 [00:01<00:03, 10644.19it/s]\n",
      "Convergence archived at 12100\n",
      "Interrupted at 12,100 [24%]: Average Loss = 1,568.2\n",
      "100%|██████████| 2000/2000 [00:02<00:00, 967.95it/s]\n"
     ]
    }
   ],
   "source": [
    "with pooled_model:\n",
    "    pooled_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "b0, m0 = pooled_trace['beta'].mean(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAFJCAYAAADaPycGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsf8HAEv1QU2N07EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1363ba1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(srrs_mn.floor, np.log(srrs_mn.activity+0.1))\n",
    "xvals = np.linspace(-0.2, 1.2)\n",
    "plt.plot(xvals, m0*xvals+b0, 'r--');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Estimates of county radon levels for the unpooled model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as unpooled_model:\n",
    "    \n",
    "    beta0 = Normal('beta0', 0, sd=1e5, shape=counties)\n",
    "    beta1 = Normal('beta1', 0, sd=1e5)\n",
    "    sigma = HalfCauchy('sigma', 5)\n",
    "    \n",
    "    theta = beta0[county] + beta1*floor\n",
    "    \n",
    "    y = Normal('y', theta, sd=sigma, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 2,073:  37%|███▋      | 18378/50000 [00:02<00:04, 6463.24it/s]  \n",
      "Convergence archived at 18600\n",
      "Interrupted at 18,600 [37%]: Average Loss = 2,394.1\n",
      "100%|██████████| 2000/2000 [00:05<00:00, 366.96it/s]\n"
     ]
    }
   ],
   "source": [
    "with unpooled_model:\n",
    "    unpooled_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the unpooled county expected values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaQAAAOFCAYAAAAlI5aPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3X1YlGXePvCTV7VICRMxwSgy0kYt01KfzFJTE6ZRwU1A\nyrLULaWsKGd0NUl5UQtfMnsyylIHX0qZMDfCTEuDHi22Bjerw0IFFPWHsiAqMMzvD5pZUYYZELiu\ne+b8HMccozDKOe7ufPe67+s+bzez2WwGERGRYO6iAxAREQEcSEREJAkOJCIikgIHEhERSYEDiYiI\npMCBREREUuBAIqewfv16jB49GhqNBi+99BLOnTtn/d79998PjUZjfXz22WcAgN27d2PUqFEIDw+H\n0Wi0vn7u3Ln47rvvGv15R44cwaxZs6BWq/HYY49h8uTJOHjw4DW/j7S0NMyZM6dejsLCQtxzzz0N\nvn7VqlVISEho0s/Ytm0bpk+fbvd1W7duxcaNG5v0dzdHY++PXIun6ABE1yo3Nxdr167Fli1bEBAQ\ngIyMDMyfPx8rV67EH3/8AV9fXxgMhqv+3KpVq7BhwwYUFxdj7dq1WLlyJX7++WdUVFRgyJAhNn/e\nH3/8gSeffBJJSUkYOnQoACAnJwczZsxAeno6evbs2SLva/HixQDqPrBF+OGHH1rsvRA5ggOJFO/Q\noUMYMmQIAgICAACjRo3CvHnzUFVVhby8PLi7uyM6Ohrl5eUYPXo0/v73v8PDwwPe3t6orKxEeXk5\nvLy8YDabsXTpUqSkpDT689auXYuIiAjrMAKAwYMH480330T79u1RWFiImJgYhISEoKioCOvXr0dh\nYSGWLVuGCxcuwN3dHTNnzsTDDz+M6upqLFq0CN999x06d+6Mzp0744YbbgAAxMbGIiYmBiqVCrW1\ntZg7dy4OHToET09PzJs3D3fffXe9XCUlJUhISMCJEydQXV2NsLAwzJgxo9H3smrVKhQVFeH06dMo\nKipC165dsXTpUvz000/YvXs39u/fj/bt2yMmJgZr1qzBl19+idraWnTv3h0LFixA165dERsbi06d\nOuGPP/7A448/jnfeeQfffvstvL29YTKZ8NBDD2HdunUoLy/H0qVLUVVVhdOnT2PIkCFITEysl+fI\nkSOYO3cuqqqqYDabERkZiZiYGIf/u0DKxoFEitevXz+sX78eRUVF6N69O7Zt24bq6mqcO3cOJpMJ\nQ4YMwcsvv4yamhpMmzYNPj4+mDJlCuLj4/HSSy+hXbt2WLRoEbZu3YpBgwbh5ptvbvTn5efn45VX\nXrnq68OGDQNQt6I5efIk3nzzTQwYMABlZWXQarVIS0tDYGAgSkpK8Le//Q2hoaHIzs5GQUEBPv/8\nc9TU1GDy5MnWgXS5ixcv4n/+53+wePFi7Nu3Dy+88AKys7PrvSY+Ph5TpkzB8OHDcenSJTz77LPo\n0aMHxo4d2+j7OXjwIDIyMuDj44MZM2Zg06ZNiIuLw1dffYWePXsiJiYGGRkZ+O2337B161Z4enpi\n8+bNmDdvHtauXQsA6NixI3bu3AkAyM7Oxu7duzFmzBjs27cPgYGBCAkJwUsvvYS4uDjcf//9OH/+\nPEaMGIH8/Hz4+vpas6SlpWH48OGYNm0aTp8+jcTERERFRcHdnWcXXAEHEinegAED8Pzzz2PmzJlw\nc3NDREQEfH194eXlhb/97W/1XvvUU09h/fr1mDJlCgYMGIBt27YBAMrKyrB161Zs2LAB7777Ln74\n4QfccccdiI+Pv+rnubm5oba2ttFMnp6e1hXMv/71L5w+fRrPP/98vb/j119/RU5ODsLDw+Ht7Q1v\nb2+o1Wr8+uuvV/19HTt2tA6WBx54AEDdoUOLyspKHDhwAGVlZVixYoX1a4cPH7Y7kO677z74+PgA\nAHr37o2ysrKrXvP111/DaDQiIiICAFBbW4sLFy5Yvz9gwADrryMjI7F9+3aMGTMG27Zts/5nkJyc\njG+++Qbvvvsu/vjjD1y6dAmVlZX1BtIjjzyC1157DT///DMGDx6MefPmcRi5EA4kUryKigrcd999\nmDhxIoC6Q1crV66Er68vMjIycOedd+LOO+8EAJjNZnh6Xv1f++XLl2PGjBkoLi5GTk4OPvroI8yd\nOxc5OTkYPHhwvdfefffd+Ne//oWHH3643tfffvtt9OjRA/3794e3t7f155hMJoSEhGDr1q3W15aU\nlMDPzw+bN2+u93d4eHg0+B6v/FCura2Fl5dXvd+bzWZs2rQJHTp0AACUlpaiXbt2tv/h/tK+fXvr\nr93c3NBQvWVtbS2eeeYZREdHAwCqqqrqDa7rrrvO+utHH30UycnJOHLkCA4cOIDk5GQAwOTJkxEa\nGoqhQ4fi0UcfxU8//XTVz3r44YeRlZWF7777Djk5OVi9ejW2bdtmPRxLzo3/14MU79SpU4iNjUVF\nRQUAYM2aNQgLC4Obmxt+//13rFy5EiaTCRcvXsTGjRuvWjEcPnwYJ06cwIgRI1BVVWUdJO7u7vVW\nARZTp07F1q1bsW/fPuvXvvnmG6xfv946+C5399134+jRozhw4AAA4JdffsHo0aNRUlKCoUOHIiMj\nA5cuXcKlS5esh72udO7cOXz99dcA6nYHtm/fHrfccov1+z4+Prj77rvx4YcfAgD+85//ICoqCl99\n9ZXD/45X8vDwQE1NDYC6Vdknn3xi/TdesWIFXn311Qb/XLt27RAWFoY5c+Zg1KhR6NChA/7zn//A\naDTilVdewahRo3Dy5EkcO3bsqpXmyy+/jJ07dyIsLAwLFiyAj48Pjh071uz3QMrCFRIp3m233YZp\n06Zh4sSJqK2txb333ov58+cDAGbOnImEhASo1WrU1NRgzJgx1pWURXJyMhYsWAAACA0NRefOnfHI\nI4/g9ttvr7dxweKWW27Bu+++i+XLlyMlJQW1tbXw8/PDmjVrcMcdd1y1K87Pzw8rV67EkiVLcOnS\nJZjNZixZsgSBgYGYNGkSjh07hvDwcPj6+tYbMpfr3LkzvvzySyxfvhwdOnTAqlWrrlrpLVu2DG+8\n8QbUajWqqqoQHh6Oxx57rNn/rg8++KB1dfPss89az325ubmhW7du1u81ZOLEidiwYQNef/11AHWH\nHKdNm4bx48fjuuuuQ9euXdG/f38cPXoUQUFB1j/33HPPYe7cudi8eTM8PDwwcuRIDBw4sNnvgZTF\njbefICIiGfCQHRERSYEDiYiIpMCBREREUuBAIiIiKbjcLruamhqcPHlSdAwiIpcVEBDQ4PWALjeQ\nTp48iREjRoiOQUTksr766isEBgZe9fVGt31///33eOONN7Bjx44m/bCtW7eiqqrKbiliaWkpXn31\nVRQXF8Pd3R0JCQno37//Va+LjY1FUVERJkyYgJkzZwKou/AvJiYGiYmJ6NOnD7Kzs5GamooTJ04g\nLy/P5s8UuUKaOnUqgLq+LiIiV9WmKyRHa+sXLlyIAQMGYMaMGfjll18wbdo0fPnll9bqk8u9+uqr\nGDNmDABg7969SExMRFFRkfX7jzzyCHr16gW1Wt3oz/T09GxwMrcFS0eZqJ9PRCQzuwOpsrIScXFx\nOHr0KDp27IiEhATceuutqKqqwrJly3DgwAGYTCb07t0b8+bNQ05OTr3a+tGjR2P+/Pn4f//v/+H0\n6dPo3r07li9fjk6dOmHPnj3WK+R79eqF4OBgfPvttxg1alSjmT7++GMsXboUL774Ysv8K7SRK6v2\nqU5uLrB3LzBsGDBokOg0RCSK3V12J06cwJQpU2AwGBAeHm7tr3rvvffg4eGBbdu24bPPPoO/vz+W\nLVuGRx55BMOHD8eUKVMQExODzz//HHfffTc2b96Mr776Cu3bt4fBYMDZs2etlSsWXbt2dehwWlpa\nGvr27XsNb1uM6OhoazmlMwgLA9zcrv0xeDAwZ07d87X+XWFhov9ViKi57K6QQkNDred1xo8fj9df\nfx3l5eXYs2cPysvLrbd6rq6uRufOna/6808++SQOHjyIDz/8EAUFBfj999/Rr18/1NbWws3Nrd5r\nzWazzbZjZ6DX6wGgRYaSSgUcOnTNf43T2bmzbjDJ4K67gPx80SmIlMPuQLqy9t7NzQ2enp6ora2F\nTqez3pTs/PnzuHTp0lV/funSpfj5558RERGB+++/HzU1NTCbzejcuTPMZjPOnTtnvR/KqVOn0LVr\n15Z4X1LS6XQAWmYgOcsHXW4uMHQoUFMDeHoC337Lw3ZErsruIbtff/0Vv/zyCwBg8+bNuPfee9Gh\nQwc88MAD2LhxI6qqqlBbW4t//OMfeOuttwDUr63ft28fnnzySYwbNw6dO3fGd999B5PJBE9PTzz0\n0EPYsmULgLpbABw5cgT3339/a71X4VQqFVQqlegYUhk0qG4IJSdzGBG5OrsrpNtuuw1vv/02jh8/\njs6dO1sr55977jmkpKRg/PjxMJlM6NWrF+bMmQOgfm39888/jyVLlmDFihXw8vJC//79rfc3WbBg\nAebNm4fw8HC4ublhyZIlDd6+2Vk0dfu8qxg0iIOIiBRy+4nY2FjExMRYt33bUlhYCLVa3eh1SERE\nJCfFdNktWbIEb7/9ts3vZ2dnY9q0aW2YqOmCg4MRHBwsOgYRkZQUMZCSkpJw4sQJZGdnw2g04qmn\nnoJGo8HYsWPxwQcfAADy8/NRWVmJ++67T3BaIiJqDsV02VmuX4qKisKECRMwceJElJeXIzIyEr16\n9cLs2bNxyy23ICsrS3RUmzIzM0VHICKSlmIGkkVkZCTGjh0LALjhhhvQo0cPFBcXC07lmD59+oiO\nIDU2NhC5NsUNpIiICOuvv/nmG+Tl5WHx4sUCEzlOq9UCqDsE6erCwuouYnXU2LHA55+3Xh4iEk8R\n55AakpGRgfj4eKxcuRL+/v6i4zgkPT0d6enpomO0OpXKfsVPU4YR8N8GBnsPXuZFpFyKWyGZzWak\npKQgKysL69atQ69evURHclhUVJToCG2iOS0SbGwgIsUNpCVLluDAgQP49NNP6xWzKgEP1dlmaWzg\nOSQi16WogXTy5EmsW7cO3bp1w1NPPWX9+hNPPFHv3JKsjEYjAG5usIWNDUSuTVEDKSAgwNqrp0SW\nmwcWFBSIDUJEJCHFbGq4ePEiNBqNzYGUmpqKlStXtnEqIiJqKYpaIQFARUUFJk2ahMrKSri7u2P2\n7NkYNmwYTp06herqanTv3l10RJu4MiIisk0xA8nS1KBWq/HCCy9g5MiR+O233/D444/j+++/R1JS\nElatWoWzZ8+KjkpERM2gmIFksX37dutdZY8dO4aOHTsq5i6z4eHhAHgbClfA1gmiplPcQPL09ITZ\nbMbIkSNRVFSEuXPnKmYg5TvLbV6dSFMbI0RhUwW5AsUNJKDuNuq7du3C8ePHERMTg5CQEAwePFh0\nLLsSExNFR2gWlQo4dEh0CtdmaaqQyV13Ne8iaCJbFDWQqqqqkJ2djUcffRTu7u4ICgrCkCFD8Msv\nvyhiIEVHR4uO0Cz80Gkatk4QNY9itn0DgLe3N5YvX47P/zp2UVJSgu+//x4DBw4UnMwxer0eer1e\ndAxqZZbWieRkDiOiplDUCgkA3n77bSQkJOD999+Hu7s74uPjFdN8oNPpACh3pUSOY+sEUdMpbiCF\nhoZi48aNomM0i4pV1ERENinmkJ29pgatVotNmza1caqm2bFjB7d8ExHZoJiBdKWysjKMGDECX3zx\nBQDA398fXl5eKCoqEpyMiIiaQzGH7CxNDUDdPZFee+01VFRUWL8/e/Zs3HLLLcjKyhIV0a7g4GAA\nrBAiImqIYgbS5d555x2Ehobi/PnzoqMQNYqNDUSOU9xA2r9/Pw4cOIC0tDRMmTJFdJwmyczMFB2B\nmkB0iwPbGcjVKGogFRcXIzk5GR988IFi6oIup5Tt6TJzpdYIEe0MbF8gkRQ1kL744gtcuHABzzzz\nDIC6ctUlS5bg7NmziIqKEpzOPq1WC4C3Mr8WSvqwZGMDUdMoaiA9/fTTePrpp62/j42NRUxMDMaM\nGSMwlePS09MBcCC5CktjA88hETlGUQNJ6ZSwiqOWxcYGIscpeiCtX79edIQm4cqIiMg2xVwYa6+p\nITU1FStXrmzjVE1jNBphNBpFxyAikpKb2Ww2iw7hKnhhLBGRbYpYIRUWFqJXr17QaDQ4ePAg7rnn\nHmg0Guvjjz/+QGpqKh566CFMnz5ddFwiImoGxZxDslQHbdq0CeHh4XjjjTfqfV8J1UFcGTkPNjAQ\ntTzFDCSLvLw8HD9+HOPHj4eHhwemTZuGUaNGiY5FEhPduGAPGxmI6ihuIHXo0AFhYWGYNGkSCgoK\nMHnyZHTr1k0RLQjh4eEA4DK3oHClVoVrIaKRoSFsaSDRFDeQXn/9deuvQ0JCMHbsWHz99deKGEj5\nLva/dmd9u2xgIGodihpIJpMJ7733HmJjY+Hj4wOg7lYUnp7KeBuJiYmiI1ALYAMDUetQxif5Xzw8\nPLB79260a9cOTz/9NIqKivDll1/io48+Eh3NIdHR0aIjUAthAwNRy1PUQAKAZcuWYcGCBdi+fTtM\nJhN0Oh1CQkJEx3KIXq8HwMFERNQQxQ2kW265BevWrRMdo1l0Oh0ADiQiooYo4sJYwDmqg1QqFVQq\nlegYRERSUtwK6eLFi0hISMCPP/6ICxcuYOLEidb7I8nOVbZ7ExE1h2IGkqWpYdGiRSgrK8Onn36K\nyspKaDQaDBgwQBFNDeT82OBA1HyKGUhA3RZvg8GATz75BB4eHrjhhhvw0UcfoVOnTqKjOYTlqvKQ\nvb3BFrY6kDNTzDkkACgtLcX58+fx3XffITY2FhqNBrt370bHjh1FR3NJKlVdw4ASH0ocRsB/Wx3a\n+sFTn9QWFLVCqqmpgclkwrFjx/DRRx+htLQUsbGx6N69O0aOHCk6nl2ZmZmiI7QoZ21iaC42OBBd\nG0UNpBtvvBFeXl4YN24c3N3dcdNNN+Ghhx5CXl6eIgaSEuqNqPnY4EB0bRR1yM7b2xsPP/wwMjIy\nAMB6+E4pH/RarRZarVZ0DGpFgwYBr73GYUTUHIoaSADwxhtv4MyZMxg7diwmTJiARx55BGPGjBEd\nyyHp6elIT08XHYOISEqKOmQHAL6+vli6dKnoGM0SFRUlOgIRkbQUs0JyhqaGpKQkJCUliY5BRCQl\nxa2QLLvqLH777Te8+uqrOHXqFKqrq+t9TzZGoxEANzcQETVEMQPJ0tRwufXr1yMrKwuTJ0+Gl5cX\nVq1ahbNnzwpKaJ9arQbAC2OJiBqimIF0paNHj2LNmjX45JNP4OXlJToOkbRYZ0RKodiBlJqaismT\nJ+Pmm28WHcVhXBlRS2qt+iPWE5EoitnUcLkTJ05g3759eOKJJ0RHIWq2a61eaq36o5asJ2LlEDWF\nIgdSVlYWHnnkEfj4+IiO0iTh4eEIDw8XHYMkkZ8PmM2t+8jJqasxAuqec3Ja/2de/mC9FDWFIg/Z\n/d///R9Gjx4tOkaT5fN/ndTGWGdESqLIgXT06FGpt3fbkpiYKDoCuaBBgziISBkUOZA+V+gZ1+jo\naNERiIikpZhzSPaaGrRaLTZt2tTGqZpGr9dDr9eLjkFEJCXFrZAuXLiAqVOn4vTp0zCbzXjmmWeg\n0WhEx3KITqcDwJUSEVFDFDOQLE0Nc+bMQd++ffHCCy+gpKQEY8aMwZAhQ5CUlCR9U4OKe2CJiGxS\nzECyMJlMKC8vh9lsxoULF+Dp6Ql3d2UcedyxY4foCORi2NJASqK4gfTyyy8jOjoaX3zxBc6ePYvX\nXnsNnTt3Fh2LqEW1VgtDc7G9gdqC4gbSK6+8gmeeeQbR0dEoKChAbGws7r77bvTt21d0NLuCg4MB\nsEJISVQq4NAh0SnEs7Q3iHbXXbzY1pkp41jXX0pLS/HDDz/gb3/7G4C6D/j/+Z//wYEDBwQnI2fV\nFm0KztrSwOYHaipFrZBuvPFGBAQEICsrC2FhYSgtLcWBAwcQGRkpOppDMjMzRUcgF8KWBlIaRQ0k\nNzc3rFmzBm+88QbeeecduLu7Y/r06RgwYIDoaA7hjfmorbGlgZREUQMJAO68805s3LhRdIxm0Wq1\nAMDbmBMRNUAx55CcoakhPT0d6enpomMQEUlJcSuk8vJyTJo0CRUVFfDx8cELL7yAwYMHi47lkKio\nKNERiIik5WY2m82iQ9hTWFgItVqNvLw8DB8+HM8//zwiIiJw+vRpTJ48GRs2bECXLl2sTQ3z588X\nHZmIiJpIMYfsgLpt3ydOnMC4ceMAAF26dEFoaCi+/fZbwckcYzQaYTQaRcdQvNxcICWl7pmInIei\nDtn5+fkhMDAQ27dvR2RkJI4fP44ffvgBd911l+hoDlGr1QB4YayFiDYCNg4QyUtRAwkA1qxZg5SU\nFHz00UcIDQ3FsGHD4OXlJTqW03OWxoLWbhxgkwBR8yluINXW1mLNmjXw/OsS9KeffhrDhw8XnMox\nSl4ZyfIhm5sLDB0K1NTUtQ98+y2vsyFyFoo6hwQA8+fPx65duwAAP/74I37//XcMGTJEcCpqK5b2\ngeRkDiMiZ6O4FVJCQgLmzZuH1atX47rrrsOaNWtw3XXXiY7lkPDwcAC8DcW1YvsAkXNS3EC64447\nsGXLFtExmiVfluNeREQSUswhO2doakhMTERiYqLoGEREUpLqwtjCwkI88sgjuOOOO5CcnIxevXph\n3759WLp0KQwGg/V1e/bswZtvvomqqiqEhoYiMTER5eXlmDFjBo4cOYL09HQWmRIRKYx0K6T27dvD\nYDDg1ltvRWpqKmbPng2TyWT9fmlpKbRaLVatWoWsrCwEBQVh2bJl6NatGwwGA/z9/QWmb5xer4de\nrxcdg4hIStINJIt9+/bhwoULSE5Ovurrffr0sd59NSoqCpmZmZBooWeTTqeDTqcTHYPaANskiJpO\n2k0NI0eOxMiRI/H999/X+/rJkycREBBg/X1AQAAqKipw/vx5+Pj4tHXMJlGpVKIjkANENEhciY0S\n5IqkHUi21NbWwq2BS+3d3aVd7Flxu/e1c5bGCHtau1HCUWyeoLYk/6f4Fbp164ZTp05Zf19SUoJO\nnTop5lokujb5+YDZLPcjJ6euRQKoe87JEZ+puQ8OI2pLihtIDzzwAH766SdrDc+mTZswYsQIsaEc\nFBwcbD33Rc6LbRJEzaO4Q3adO3dGUlIS4uLiUF1djR49eiAlJUV0LKJ62CZB1HTSD6T777//qnMv\nw4YNw7BhwwQlar7MzEzREYiIpCXdITt7jQy2nDhxAhqNpt75Jdn06dOHF+wSEdkg3UC60r59+6DR\naK76utlsxmuvvYa0tDQBqZpHq9VCq9WKjkFEJCXpBpK9pgYAOHLkCJ588klkZWVZv6aEpob09HSk\np6eLjkFEJCVpzyFd3tSQmppa73sbN27ExIkTcfPNNwtK1zxRUVGiI1Az5eYCe/cCw4ZxswJRa5F2\nINlqagDqbtIHAPv372/rWNckKSlJdASXJUP7ggVbGIgaJu1AckZGoxEAXHJjg6s0LDhCVAsDWxdI\ndhxIbUitVgOA9aJeV6LkD8LcXGDoUKCmpq55gRe7ErUODiQiOyzNCzyHRNS6OJDakCuujJwFmxeI\nWp/0A6mhpgaLK++VREREyiXddUjO3NQQHh6O8PBw0TGIiKQk3UC6UkNNDQaDAY899hg0Gg0mTZoE\no9FovSDWy8sLRUVFIqLalZ+fj3wln90nImpF0h2yszQ1XLx4EampqdDr9ejatav1+3/88QeWLl2K\nbdu2wd/fH3v37sWsWbOwZ88eGAwGxMbGCkzfuMTERNERiIikJe0K6fKmhst5e3tj0aJF1hWRSqXC\nmTNnUFVVJSJmk0RHRyM6Olp0DJJYbi6QklL3TORqpFshWdhqaggMDERgYCCAuoLVpKQkDB8+HN7e\n3iJiNolerwcADiUnI1MLhC1shyAlkHYg2VNZWYk5c+bg5MmTeP/990XHcYhOpwPAgdQS2PzQNKLa\nIS7HpgiyR5EDqbi4GDNmzEBISAg+/vhjtG/fXnQkh6hUKtERnIYzfrCxEYJcneIGUkVFBWJjYzF+\n/HjMnDlTdJwmsXU9FRHARggixQ2kjRs3ori4GNnZ2cjOzrZ+fd26dbjxxhsFJiO6dmyEIFcm/UC6\nsqlh+vTpmD59usBEzRccHAyAFUJERA2Rbtt3c5saTCYTNBoNLzwlIlIo6VdI+/btw9KlS2EwGKxf\n27BhA9LT0+Hm5oagoCAsWrTIeh1SdXU1unfvLipuozIzM0VHICKSlnQrJEtTw6233orU1FTMnj0b\nJpPJ+v38/Hx88MEH2LRpE3bs2IHg4GCsWLEC3bp1g8FgsF4wK6M+ffq45M35iIgcId1AsrDV1KBS\nqZCVlYUbbrgBly5dQklJCXx9fQWlbBqtVgutVis6hlNhswGR85D2kJ2tpgagrkB1165dmDt3Lry9\nvREXFycgYdOlp6cDAJKSkgQnkYfolgM2GBDJQ9qBZI9lYG3ZsgVTp05FdnY23N2lXfABAKKiokRH\ncIgrtSCIaDBgYwFRw+T+BG/A0aNHcfDgQevvIyIiUFxcjLKyMoGpHJOUlKSI1VF+PmA2y//Iyalr\nNADqnnNyxGdy5MFhRNQwxQ2k06dP46WXXkJpaSmAup1rPXv2VMRFsUajEUajUXQMp2FpNkhOZs0O\nkTNQ3CG7AQMGYMaMGXjiiSfg4eEBf39/rF69WnQsh6jVagC8MLYlsdmAyHlIP5CubGoAeF8hIiJn\nJN0hu+Y2NZw4cQIajQanTp1qpWTXrqCggKsjIiIbpBtIV9q3bx80Gk2D39u1axfuueceALBeEOvl\n5YWioqI2y0dERC1DuoFkr6nBoqCgACkpKdbfe3h4wGAwSH3PofDwcISHh4uOQUQkJekGkoWtpgYA\nuHDhAuLj4zFnzhwByZovPz+f5a/UpthkQUoi7aaGxpoa5s+fj8cffxyhoaECkjVfYmKi6AjkJFq6\n4YKNFSQDaQeSLRs3boSnpyciIyNRWFgoOk6TcGcgXU6mRoyWbqxgGwU1h+IG0vbt26078aqrq62/\nfu+999Bmd1ehAAAgAElEQVS1a1fR8Rql1+sBcDBRndb+wM7NBYYOBWpq6posePEwyU5xA+mTTz6x\n/rqwsBBqtbrevZJkptPpAHAgUduwNFns3QsMG8ZhRPJT3EBSMpl3AJJzYpMFKYn0A6mhpgaLwMBA\n5OXltXGi5rP1PoiISMJt381tajCZTNBoNNxWTUSkUNINpCs11NSQnJyMhx56CBqNBhqNBi+++KKg\ndE0THByM4OBg0TGIiKQk3SE7S1PDxYsXkZqaCr1ef9Xuuby8PLz11lvo379/va8bDAbExsa2ZVwi\nImoh0q6QbDU1VFVV4d///jfef/99qNVqzJo1C8XFxYJSNk1mZiYyMzNFxyAHsOGAqO1Jt0KysNXU\nUFJSgkGDBuHFF19Ez549kZaWhueeew7bt2+HW1vfi7qJ+vTpIzqC02rp5oLWwDYEosZJu0KyJSgo\nCGvXrsUdd9wBNzc3TJ06FceOHVNEa4NWq4VWqxUdo0WoVHVX9svykH0YAf9tQ5DhwSsQSEaKG0iH\nDx9GRkZGva+ZzWZ4eXkJSuS49PR0pKeni47RIvLzAbPZOR85OXXNBkDdc06O+Ewt/eBmVJKRtIfs\nbHF3d8fixYtx7733IigoCHq9HqGhoQgICBAdza6oqCjREcgBbDggEkNxA+mOO+7AvHnz8Pe//x0m\nkwkBAQF46623RMdySFJSkugI5CA2HBC1PekHUkNNDZbrj5TGaDQC4OYGIqKGSHcOyZmbGtRqNdRq\ntegYRERSkm4gXamhpoZff/0VsbGxGDduHCZMmCD1ECIiIsdIN5AsTQ233norUlNTMXv2bJhMJuv3\nL1y4gKlTp+KZZ55BRkYGnnvuObzyyivw8PCAwWCQulG7oKAABQUFomMQEUlJuoFkYaupYf/+/QgK\nCsKwYcMAACNGjMDy5ctFRKQGsOGAiJpL2k0Ntpoa/vzzT3Tp0gU6nQ6HDx9Gx44dER8fLyhl04SH\nhwMQcxsKJTQZNAVbD4icj7QDyZaamhrs3bsXH3/8Mfr164ddu3Zh2rRp+Prrr+Ht7d0mGVQq4NCh\n5vzJukEkecORIlhaD5zNXXfxolVyXdIesrPF398fISEh6NevH4C6lZTJZMLx48fbLENzWwo2btRj\n40a98Kv02XAg74PDiFyZ4gbSgw8+iMLCQuvOugMHDsDNzQ2BgYGCk9kXHR2N6Oho0TFajaXhIDm5\n7pkXlhJRUyjukF2XLl2wevVqLFy4EBcuXIC3tzdWrVqFdu3aiY5ml16vBwCnH0ocRETUHG5ms9ks\nOoRFYWEh1Go18vLymv13xMbGIiYmBmPGjGnBZC3DcrdYbv0mIrqadIfsnLmpQaVSSX2dFBGRSFKt\nkIiIyHVJtUIqLCxEr1696q2QrqwOysjIsJarajQaDB8+HHfddReKioqg0WigUqmsJaZERKQc0m1q\nsFQHXbx4EampqdDr9ejatav1++PGjcO4ceMAANXV1Zg8eTKmTZuG7t27w2AwYPjw4aKi28VzSPLI\nzeX9johkI9UK6XK2qoMut3btWvj5+WHSpEltmIxECAtr2Vt4Dx4MzJlT99ySf29YmOh/KSLlkm6F\nZGGrOsiitLQUH374IbZt29bGyZovMzNTdIQW0fymCucna4MEGyBICaQdSPZs2bIFI0aMQFBQkOgo\nDnOWG/Mp/YMtNxcYOhSoqalrlOBFvERykPaQnT07d+7EhAkTRMdoEq1WC61WKzqGy2OjBJGcFLlC\nKisrw7Fjx3DPPfeIjtIk6enpAICkpCTBSYiNEkTyUeRAOnr0KLp06QIvLy/RUZokKipKdAQiImlJ\nP5Duv//+q+4f1LdvX2RnZwtK1HxcGRER2SbdOaTmVgedOHECGo0Gp06daqVk185oNPKiXSIiG6Qb\nSFe6sqkBALKzs6FWq6HRaPDEE0/g2LFjgtI1jVqthlqtFh2DiEhK0g0kS1PDrbfeitTUVMyePRsm\nk8n6/YsXLyI+Ph5vv/22tZlh0aJF6NatGwwGA/z9/QWmJ1nk5gIpKXXPRKQM0g0kC1tNDSaTCWaz\nGeXl5QCA8+fPK+JeSEBdZRBrg5qvKW0NzWliYMsCkVjSbmqw1dRw/fXXY+HChZg0aRJ8fX1RW1tr\n3U5N8lFSq0NrtCywIYHIcdKukGz59ddfsXr1auzcuRP79u3DjBkzMGvWLCjhLhrh4eEIDw8XHaNN\n5ecDZnPbPnJy6hoYgLrnnJy2z2B5cBgROU5xA2nfvn3o378/evToAQCIiYnB77//jrNnzwpOZl9+\nfr7UNxB0FmxiIFImaQ/Z2dK7d29s3LgRZ86cwU033YRdu3YhMDAQfn5+oqPZlZiYKDqCy2ATA5Hy\nKG4gDR48GFOnTkVsbCy8vLzQqVMnvPPOO6JjOSQ6Olp0BCIiaUk/kBpqaoiJiUFMTIygRM2n1+sB\ncDARETVEunNIztzUoNPpoNPpRMcgIpKSdAPpSg01Naxfvx6jR4+GRqPBSy+9hHPnzglK1zQqlQoq\nlUp0DCIiKUl3yM7S1HDx4kWkpqZCr9eja9eu1u/n5uZi7dq12LJlCwICApCRkYH58+dj5cqV1uYG\nWV156JHklZsL7N0LDBvGzRFEbUXaFZKtpoZDhw5hyJAhCAgIAACMGjUKu3fvRlVVlYiY5AQaaoCw\n1fTANgei1iPtQBo5ciR0Oh18fHzqfb1fv37Izc1FUVERAGDbtm2orq5WxGG74OBgBAcHi47hclSq\nxiuDdu50/O+ytDk09uBRWaLmkXYg2TJgwAA8//zzmDlzJiZMmAA3Nzf4+voq7mZ91Haa2hZxrU0P\nvPaZqHmkO4dkT0VFBe677z5MnDgRAFBSUoKVK1fC19dXcDL7MjMzRUcgB1iaHngOiahtKW4gnTp1\nClOmTMHOnTvh4+ODNWvWICwsDG4t3YrZCvr06SM6AjmITQ9EbU9xA+m2227DtGnTMHHiRNTW1uLe\ne+/F/PnzRcdyiFarBcBbmRMRNcTNLFFNdmFhIdRqNfLy8pr9dwwfPhwrVqyQcjVi2dDAeyIREV1N\nuk0NztzUEBUVhaioKNExiIikJO0hu5qaGjz11FMoLS1FdXU1IiMj8fTTTwMAfvrpJyQkJKCyshL+\n/v5YunSp9dblXl5eKCoqknKFxEN1RES2SbdCsjQ1JCYmYuzYsTAYDNi8eTM2b96MnJwcVFVVIS4u\nDjqdDv/85z8xevRozJ07Fx4eHjAYDFJX8xiNRhiNRtExiIikJN1AsoiMjLTeXfWGG25Ajx49UFxc\nDKPRCB8fH9x7773W1+Xk5CjiBn1qtRpqtVp0DFKQ3FwgJaXumcjZSTuQIiIi0KFDBwDAN998g7y8\nPAwdOhQnT5601gYBgLe3N/z8/FBSUiIqKpFVQzVE1/KwVWF0rQ9WIJGMpD2HZJGRkYGkpCSsXLkS\n/v7+qK2tveqaI7PZDA8PD0EJHcfdda1DpQIOHRKdQlksFUhKdNddbMNwVtIOJLPZjJSUFGRlZWHd\nunXo1asXAKBbt271dtJZeuwubwQn1+KsH065ucDQoUBNTV2F0bff8mJdcm7SDqQlS5bgwIED+PTT\nT+Hn52f9er9+/XDu3Dn8+OOP6N+/Pz799FPcfffd6Nixo8C0jrGcE+NtKMgRrDAiVyPlQDp58iTW\nrVuHbt264amnnrJ+/YknnkBERATefvttJCQk4MKFC/D19UVKSorAtI7Ld9b/K0+thhVG5EqkHEgB\nAQGNXhjbt29ffPLJJ22YqGUkJiaKjkBEJC3pdtk1t6nBZDJBo9FIvQqJjo5GdHS06BhERFKScoUE\nNN7UYLFixQqUlZUpplxVr9cDAIcSEVEDpFsh2WtqAOrOMcXFxeHDDz+0/jklNDXodDrodDrRMYiI\npCTtCikyMhJjx44FUL+pAQA++eQT3HfffQgJCUFZWZnImE0i87AkOeTmclcduS5pB1JERIT115am\nhsWLFwMAZs6cCQBYtWqVkGzNxe3eriUsrO4C1LYwdizw+edt87OIWou0A8niyqYGotag9LaH1mpe\nYCsCtSVpB5KtpgYl4w365CXDhy6bGcjVSTuQbDU1EDkrNjOQq5NyINlralCqzMxM0RFIcmxmIFcm\n5UCy19RgMWvWrDZI03JkvIstEZEspLsOyZmbGrRaLbRaregYRERSknKFBDTe1PDtt98iNTUVJpMJ\n7u7uePnll/HAAw/gpptuwokTJ1BUVCQ4fcPS09MBAElJSYKTEBHJR7qBZGlqiIqKwoQJEzBx4kSU\nl5cjMjISvXr1gkqlwiuvvIINGzagZ8+eOHz4MCZPnow9e/YgLS0Nc+bMEf0WbIqKihIdgYhIWtIN\nJAtbTQ2hoaFYsGABevbsCQC4/fbbYTabcfbsWfj4+IiMbJcrrozYPEBEjpJ2INlqavDz87MOKgBY\nuXIlgoODERQUJCJmkxiNRgDK3NzQlq0DFmwfIHIt0g4kC1tNDTU1NUhOTsY333yDdevWiQvYBGq1\nGsC1Xxir9FYBR7VW+0BD2EhAJJ60A6mxpoaysjLExcXBbDZj8+bNuPHGGwUmbXtK+eBk8wARNYW0\nA8lWU4PJZMK0adNw++23Y+HChfD0lPYtXMXVKoPYPEBETSHlp3ljTQ3t2rXDv/71L1RWVtY7z7Rk\nyRKEhoaKiEuNYPMAETlKyoFkr6khPDy8DdO0HEtu3oaCiOhqTtPUAABTp07F7t27WyFVy8jPz5e6\nSYKISCQpV0hA400N//znP7FmzRqYzWbceOONSEhIQFBQEM6cOYPq6mp0795dcPqGJSYmio5ARCQt\n6QaSvaaG22+/HQsWLMBnn32GgIAAbNiwAW+88QbS0tJgMBgQGxsr+i3YFB0dLToCEZG0pDtkZxEZ\nGWk953J5U0OXLl2wf/9+BAQEoKamBkVFRfD19RWc1jF6vR56vV50DGqm3FwgJaXumYhannQrJAtb\nTQ0A4OXlBaPRiBkzZuDixYt4//33RcVsEp1OB4ArpZYmokWiLbCpglyNtAPJwlZTQ58+fbB//358\n8803mD59Onbt2oWOHTsKTGqfSqUSHaFZXKUZQjZt2VTRltiKQbZIO5BsNTWUlJTgt99+w9ChQwEA\nDz74IHx8fHDs2DHpP/CVut2bHx5snSBqC9KeQ7q8qeHy2qCqqiq89NJLOHr0KAAgNzcXNTU1CAkJ\nERWVXICldSI5mcOIqLVIuUJqrKkhIiICixYtwqxZs+Dm5oaOHTvi3XffRYcOHQQmdkxwcDAA16sQ\nchZsnSBqXVIOJHtNDaNHj8bo0aPbMBEREbU26Q7ZNbepwWQyQaPRSN2EkJmZiczMTNExiIikJN1A\nsrA0NWg0GowdOxYffPDBVa/5+eefoVKpUFpaCg8PD9x0003w8vJCUVGRgMT29enTR5E35yMiagvS\nHbKz19QwePBgAEBpaSlef/11VFdXW/9sWloa5syZIyq6XVqtFoBr3sqciMgeaVdItpoaAKC2thbx\n8fGYPXu2yIhNlp6ejvT0dNExiOphAwXJQroVkkVjTQ0rVqxA3759rdciKUVUVJToCOTE2qqxgg0S\n1FqkHUgWVzY17NmzBz///DPS0tJER2syHqpzXc7UdtEWDRJsc3BN0g4kW00Nn376KU6ePInx48db\nX/vkk08iMTFR+g0DRqMRAKTPSS1P1g9XNlCQTKQdSJc3Nfj5+Vm/vmrVqnqvCw0NxUcffVTvNbJS\nq9UAeGEsycPSQLF3LzBsGIcRiSXlQLLX1EBELYcNFCQLKQeSvaaGy/3666+tnKblcGVERGSbdNu+\nm9vUAABTp07F7t27WyEVERG1NilXSMB/mxpKS0tRXV2NyMhIPP300wCA9evX491338VNN90EALj+\n+usVcSdWy3VVSr0NBRFRa5JuIDnS1JCXl4c5c+ZYNwlYyN7UIHPPHhGRaNINJIvIyEiMHTsWwNVN\nDXl5eaioqMB7770Hf39/vPrqqwgNDRUZ1yGJiYmiI5CTy83ljjlSLmkHkq2mhsrKStx222149tln\nMXDgQOzcuRPPPvss/vnPf+L6668XmNi+6Oho0RFIwVq6iYGNCyQb6TY1XCkjIwPx8fHWpobrrrsO\naWlpGDhwIABg7Nix6NSpk/WiU5np9XpFnOuilqdS1bUbXMujpWuBLI0L1/JQqVo2E7k2aVdItpoa\nioqKsHv3bsTGxtZ7raentG/FSqfTAeBKyRW1xelDti6Q0kn7KW6rqaFDhw5Yvnw5+vXrh759+2Lv\n3r24cOEC+vbtKzCtY1T8v5PUiti6QEon5UCy19SwfPlyzJ8/H9XV1fDx8cHq1avh7e0tMLFjuN2b\nWhtbF0jJpBxI9poahg4dqrhbTxARUeOk29TgzE0NwcHBCA4OFh2DiEhKUq6QgMabGoqLi7Fw4UKU\nlJTAZDLh1Vdf5YqJiEjhpBtIjjQ1zJgxA5MmTUJ0dDT+/e9/48knn8T+/fulb2rIzMwUHYGISFrS\nDSQLW00Nv/zyC8rKyqxbp3v37g29Xg+31r6FZQvgjfmUha0HRG1LunNIFhEREejQoQOA/zY1DB06\nFH/++Se6d++OpKQkTJw4EZMmTcLp06fh5eUlOLF9Wq0WWq1WdAxqRFjYfy/6HDwYmDOn7tnytbAw\n0QmJnJe0A8niyqaGmpoa/Pjjjxg4cCC2bt0KnU6H2bNno6SkRHRUu9LT05Geni46BsF2c4K9NoTG\n2g14mRnRtZH2kJ2tpgZ/f3907NgRI0eOBAD07dsXgYGBOHz4MLp27Soysl1RUVGiI9Bf7DUnsPWA\nqO1JO5BsNTX0798f3t7e+Prrr/Hwww/jyJEjOH78OO68806BaR2TlJQkOgI5iK0HRG1PyoFkr6kh\nLS0NixYtwptvvgmg7rYOsq+OAFgLYLm5QRnYekDUtqQcSPaaGkJDQ7F+/fo2TNQyLDcULCgoEBuE\niEhC0m1qcOamBiIisk3KFRJgu6nhu+++Q0pKivV1Fy9eREFBAT799FOcOXMG1dXV6N69u8DktnFl\nRERkm3QDyV5Tw5AhQ2AwGKyvj4uLw6hRo6BSqWAwGOrdJ4mIiJRDukN2FpGRkQgPDwdQv6nhcgaD\nAYWFhXjhhRdERGyy8PBw63siakxuLpCSUvdM5CqkWyFZREREWH9taWpYvHix9WtVVVVITU3FsmXL\nFHG3WADIb4vbhpJUwsJa/tbjjho7Fvj8czE/m6g5pP8kz8jIQFJSkrWpwSIrKwtBQUEYMGCAwHRN\nk5iYKDoC/UWlAg4dEp2idVlaJVrbXXe1zS3ayflJO5BsNTVY7Ny5ExMmTBCUrnkshbAknswfoGyJ\nIFcl7Tmky5sarhxGZrMZBw8exODBgwWlax69Xg+9Xi86BknO0hKRnMxhRK5FyhWSvaaGs2fPorKy\nEgEBAQJTNp1OpwPAlRLZx5YIckVSDiR7TQ1+fn44pMATACrWQRMR2STdIbvmNjWYTCZoNBqpd7Lt\n2LEDO3bsEB2DiEhKUq6QANtNDQBw8OBBJCYmwmQyoV27dvjHP/6B3r17C05MRETXQroVkqWpITEx\nEWPHjoXBYMDmzZuxefNm5OTkAABeffVVxMfHw2Aw4Nlnn8WcOXPg4eEBg8Eg9WGx4OBgBAcHi45B\nRCQl6QaSRWNNDSaTCf/5z38AAOfPn0e7du2E5STlYhsCkVykPWTXWFNDYmIinn/+eSxevBjl5eX4\n4IMPRMVskszMTNERnIbIBoTLsQ2BqOVIO5AsrmxqOHPmDP7xj39g/fr16NOnD3bt2oW4uDhkZWXh\nuuuuEx23Uc5+Yz5XaD+4Ulu1ITSGTQnkLKQ9ZGc2m5GcnIwVK1Zg3bp1GDJkCIC6DQ0333yz9cN9\n5MiR8PLywpEjR0TGdYhWq4VWqxUdo9Xk5wNmszIeOTl1LQhA3XNOjvhMzX1wGJGzkHYg2WpqCA0N\nxe+//44///wTAPDTTz/hwoULuPXWW0VFdVh6ejrS09NFxyCwDYFIRlIesrPX1PD6668jLi4OANCh\nQwesWrUKPj4+ouI6LCoqSnQEugzbEIjkIuVAstfU8Oijj+LRRx9tw0QtIykpSXQEIiJpSXfIzpmb\nGoxGI4xGo+gYRERSknKFBDTe1LBz506sXr0aHh4eCAgIwIIFCxRRtKpWqwEABQUFYoMQEUlIuoFk\naWqIiorChAkTMHHiRJSXlyMyMhK9evVCt27dsGDBAmzYsAGhoaE4cOAA4uLi8Omnn8JgMCA2Nlb0\nWyAiomaQbiBZREZGYuzYsQDqNzWUlZXhzjvvRGhoKABg4MCBKCoqQmFhIQIDA0VGtosro5aXmwvs\n3QsMG8YNCkRKJ905JIuIiAh06NABwH+bGoYOHYrevXvjt99+s55j2r17N86dO4fTp0+LjEt2hIXV\nXUDa0o/Bg4E5c+qeW+PvDwsT/S9H5DqkXSFZXNnUANRVBy1YsABVVVUYMWIE7rzzTnh5eQlOap+l\nm681b0Hhim0JrUmGJoaGsJ2BnJG0A8lsNiMlJQVZWVlYt26d9eLYqqoq3HLLLdiyZYv19x999JH0\nh+sAtMkOQFf6kMrNBYYOBWpq6toWeIErkbJJO5Aub2rw8/Ozfr2qqgpRUVH47LPP0K1bN6xbtw73\n3nsvfH19BaZ1TGJiougITsXStsBzSETOQcqBZK+p4Y033sCzzz4Lk8mEkJAQxVxwGh0dLTqC02Hb\nApHzkHIg2WtqGDNmDMaMGdOGiVqGXq8HwMFERNQQ6XbZOXNTg06ng06nEx2DiEhKbmaz2Sw6hKto\ni112RERKJdUKqbCwEL169YJGo8GBAwcwadIkPPbYYxg3bhz27t1rfd2ePXugVqsxevRoxMXFoaKi\nAidOnIBGo4FKpZK2L27Hjh0cRkRENkg1kID/VgclJCTgmWeewWeffYYlS5bgxRdfRFVVFUpLS6HV\narFq1SpkZWUhKCgIy5YtQ7du3WAwGKzXKpHy5eYCKSl1z0Tk/KTc1AAA27dvh4eHBwDg2LFj6Nix\nIzw8PLBv3z706dMHwcHBAOruMaTRaLBgwQK4yXgF42UsmV2xQigsrO4i09Y2dizw+eet/3OIqOVJ\nO5A8PT1hNpsxcuRIFBUVYe7cufDw8MDJkyfrNXsHBASgoqIC58+fV8RN+pREia0PrdmswHYEotYl\n7UACADc3N+zatQvHjx9HTEwMQkJCUFtb2+BKyN1duqOPV8nMzBQdoUlEfviyhYHI9Uj5KV5VVYXP\nP/8ctbW1AICgoCAMGTIEv/zyC7p164ZTp05ZX1tSUoJOnTrhuuuuExXXYX369EGfPn1Ex1AESwtD\ncjKHEZGrkHIgeXt7Y/ny5fj8r5MBJSUl+P777zFw4EA88MAD+Omnn6znYTZt2oQRI0YITOs4rVYL\nrVYrOoZiDBoEvPYahxGRq5D2kN3bb7+NhIQEvP/++3B3d0d8fLx1dZGUlIS4uDhUV1ejR48eSElJ\nEZzWMenp6QCgmKojIqK2JO1ACg0NxcaNGxv83rBhwzBs2LA2TnTtoqKiREcgIpKWdIfsmlsdZLkw\n9vLzS7JJSkri6oiIyAbpBpJFRUWFzaYGoO5+Sa+99hrS0tIEJWw6o9EobYsEEZFo0h2yszQ1qNVq\nvPDCCxg5ciR+++03PP744/j+++/h7e2NI0eOYOHChfj5559xxx13AIC1qWH48OGC34FtarUagGte\nGEvi5eby3lEkN+kGkoWtpgYA2LhxIyZOnIibb75ZZESiVtdWDRfNwVYMamnSDiRbTQ0AMH/+fADA\n/v37RUZsMq6M5KDEBgoZtWYrRmPYmOG8pB1IQMNNDYMHDxYdixTOFT/M2HxBSiDlpobGmhqULDw8\n3HpPJKK2xOYLUgIpV0iWpoba2lqo1WprU0NMTIzoaNdE5rvZkvMbNIiDiOQm5UACGm9qUKrExETR\nEYiIpCXtQGqsqcEiOTm5jdK0jOjoaNERiIikJd05JGduatDr9dDr9aJjEBFJSdoVkqWpobKyEu7u\n7pg9e7a1v85gMCAtLQ1ubm7o0KED5s6di969ewMAvLy8UFRUJOXhPZ1OB4ArJSKihkg3kOw1NRQW\nFmLp0qXYtm0b/P39sXfvXsyaNQt79uyBwWBAbGys6Ldgk0qlEh2BiEha0g0kC1tNDd7e3li0aBH8\n/f0B1H3InzlzBlVVVfD29hYZ2a4dO3aIjkCXYZUOkVykHUi2mhoCAwMRGBgIoK5gNSkpCcOHD5d+\nGFHLkLlKB2CdDtG1kHYgAY03NVRWVmLOnDk4efIk3n//fcFJHRMcHAxA2RVCrN1pnKg6HXtYt0NK\nIN0uO8B+U0NxcTEmTZoEDw8PfPzxx+jYsaPIuC4lPx8wm5X/yMmpq9AB6p5zcsRnas0HhxEpgZQr\npMaaGioqKhAbG4vx48dj5syZoqM2SWZmpugI9BdLlQ7PIRHJQ8qBBNhuavjf//1fFBcXIzs7G9nZ\n2dbXr1u3DjfeeKPAxPbJuBXdlbFKh0gu0g4kW00N06dPx/Tp0wUkunZarRYAeBtzIqIGSHcOqblN\nDSaTCRqNRuoC0/T0dKSnp4uOQUQkJWlXSI01NWzYsAHp6elwc3NDUFAQFi1ahKqqKgBAdXU1unfv\nLjK6TVFRUaIjEBFJy81sNptFh7AoLCyEWq1GXl6ezaaG3377DXFxcTAYDLjhhhuQkpKC8+fPIyEh\nAQAwfPhwrFixgudriIgURtoVkq2mBpVKhaysLHh5eeHSpUsoKSmxXigrO6PRCICbG0g8tlSQjKQd\nSLaaGoC6AtVdu3Zh7ty58Pb2RlxcnOC0jlGr1QCUfWEsiSVbUwWbKaglSbep4XKWpoYvv/wS7733\nHnJycqzfGzlyJL7//nvMmjULU6dOtV5ES9TSVKq69gUZHjINI+C/zRSyPNhfrGxSDqTGmhqOHj2K\ngwcPWl8bERGB4uJilJWViYrrsIKCAq6OFMhZ2ilcoaVC4k225AApB5KlqeHzv44FWJoaBg4ciNOn\nT+rVbYMAACAASURBVOOll15CaWkpgLr2g549e0p/USyRLCwtFcnJdc88h0SykPYckq2mBgCYMWMG\nnnjiCXh4eMDf3x+rV68WnNYx4eHhAHgbChKPLRUkI2kHkq2mBqDujqtKvOuqzBftEhGJJt0hu+Y2\nNZw4cQIajQanTp1qpWTXLjExEYmJiaJjEBFJSbqBZGFpanjssccwbtw47N2796rX7Nq1C/fccw8A\nWO8g6+XlhaKiojbN6iilruyIiNqCdIfs2rdvD4PBYLOpwXJn2IKCAqSkpFj/nIeHBwwGA2JjY0VF\nt0uv1wMAhxIRUQOkXSFt374dI0aMAFC/qQEALly4gPj4eMyZM0dkxCbT6XTQ6XSiY5AAublASkrd\nMxE1TLoVkkVjTQ3z58/H448/jtDQUMEpm0bFq/YUQbY2BHvYlkDOQtqBBPy3qeH48eOIiYlBSEgI\n/vjjD3h6eiIyMhKFhYWiIzYJt3s3TqUCDh0SnUJ5LG0JSnLXXbyIla4m5SG7xpoatm/fDqPRCI1G\ng2nTpll35ZWUlAhOTdfK2RoRXKEZgY0K1JKkXCFZmhpqa2uhVqutTQ0xMTF4+umnra+z3K7CYDAI\nTOu44OBgACxXdTWWZgS2axM1TsqBBDTe1ECkNGxGILJP2oHUWFODRWBgIPLy8too0bXLzMwUHYGI\nSFrSnUNqblODyWSCRqORup6nT58+XOUREdkg7QrJ0tRQWVkJd3d3zJ49G8OGDQMAJCcn44svvkCn\nTp0AALfeeivefPNNkXEdotVqAQBJSUmCkxARyUe6geRIU0NeXh7eeust9O/fv96flb2pIT09HQAH\nEhFRQ6QbSBbbt2+3Xgh7eVNDVVUV/v3vf+P999/H8ePHERwcDK1Wi5tvvllwYvuioqJER5BKbi53\nnhHRf0k7kGw1NRQXF2PQoEF48cUX0bNnT6SlpeG5557D9u3b4Sb51YHOujIS0WzAdgIi5yPtQAIa\nbmoYPHgw1q5da33N1KlT8c4776CwsBBBQUEC09pnNBoBQNjGBmdqQhDRTsB2AaLWJd0uO6DxpobD\nhw8jIyOj3uvNZjO8vLxERG0StVoNtVot7OfL1ISgxPYCDiOi1iXlQLI0NXz+1zEZS1PDwIED4e7u\njsWLF+P48eMA6m7pEBoaioCAAJGRqYks7QXJyXXPPIdERNIesmusqWHevHn4+9//DpPJhICAALz1\n1luC0zqGlUH1sb2AiC4n7UBqrKlBo9FAo9G0cSIiImpN0h2yc+amhvDwcISHh4uOQUQkJWlXSI01\nNfz6669YtGgRysvL4e7ujoSEBPTq1UtwYvtkHpZERKJJN5DsNTWYTCZMnToVixcvxrBhw7Br1y68\n8sor+OKLL6RvakhMTBQdgYhIWtINJAtbTQ3ffPMNgoKCrKulESNGIDAwUGRUh0VHR4uOQERXYGOI\nPKQdSLaaGv7880906dIFOp0Ohw8fRseOHREfHy86rkP0ej0ADiYiR4hoAGkLbBmxTdqBBDTc1FBT\nU4O9e/fi448/Rr9+/bBr1y5MmzYNX3/9Nby9vUVHbpROpwPAgUTXzplaN1yNiJaRltSajSXS7bID\nGm9q8Pf3R0hICPr16wcAGDlyJEwmk/VCWZmpVCqoVCrRMcgJyNS6oeSHEhtDRD9ac2+WlAOpsaaG\nBx98EIWFhdYdawcOHICbm5siziPt2LEDO3bsEB2DiP7CxhC5SHvIrrGmhtWrV2PhwoW4cOECvL29\nsWrVKrRr105wYiJSIjaGyEPagdRYU8PAgQOxdevWNk507YKDgwGwQoiIqCHSHbJz5qYGIiKyTdoV\nkq2mhoyMDHz44YfW15WXl6OkpARffvklAKC6uhrdu3cXFbtRmZmZoiMQEUnLzWw2m0WHsCgsLIRa\nrUZeXp7NpobLt3ZXV1dj8uTJGD9+PCZNmgQAGD58OFasWCHsJnhERNQ80q6QbDU1XG7t2rXw8/Oz\nDiPZabVaAHLeypxXqxORaNIOJFtNDRalpaX48MMPsW3bNoEpmyY9PR1A2wyktrrKnVedE1FLkXYg\nAQ03NQwePBgAsGXLFowYMQJBQUGCUzouKioKgHNdZd+aV5235hXhRCQf6XbZAY03NVjs3LkTEyZM\nEBWxWZKSkpCUlCTdVfayXq3OYUTkWqQcSI01NQBAWVkZjh07hnvuuUdkzCYzGo0wGo2iY1yFV6sT\nkQykPWTXWFPD0aNH0aVLF3h5eQlO2TRqtRqAnBfG8mp1IhJN2oHUWFND3759kZ2d3caJiIioNUl3\nyK65TQ0nTpyARqPBqVOnWinZtSsoKJBydUREJANpV0i2mhoAIDs7GytXroS7uzs6deqERYsWKe7w\nHRER1SfdQGrfvj0MBoPNpoba2lrEx8fDYDDglltuwbp167Bo0SK89957MBgMGD58uOi3YFN4eDgA\n8BYUREQNkG4gWdhqaqiurobZbEZ5eTkA4Pz584q59QSLX6mlsFmDnJG0A8lWU8P111+PhQsXYtKk\nSfD19UVtba21AUF2iYmJoiOQQG3VntFcbN0g0aQdSEDDTQ1+fn5YvXo1du7ciR49euDjjz/GrFmz\nYDAY4Cb5jeqjo6NFR3BZztSO0Vpas3XDUWzncG3S7bIDGm9q2LdvH/r3748ePXoAAGJiYvD777/j\n7NmzIiM7RK/XQ6/Xi47hkmRrx3DGZg22c9C1knIgNdbU0Lt3bxw4cABnzpwBAOzatQuBgYHw8/MT\nGdkhOp0OOp1OdAxSODZrkLOS9pBdY00NU6dORWxsLLy8vNCpUye88847gtM6RqVSiY5AToLNGuSM\npL1BX3PxBn1ERMok3SE7Z25qICIi26Q9ZNdYU8P69euxYcMGtG/fHiEhIZg/f77gtI4JDg4GIGe5\nKhGRaNINJHtNDT/++CPWrl2LLVu2ICAgABkZGZg/fz5WrlwpfVMDERHZJt1AsrDV1HDo0CEMGTIE\nAQEBAIBRo0Zh3rx5qKqqgre3t8jIdmVmZoqOQArAFgZyVdIOJFtNDf369cP69etRVFSE7t27Y9u2\nbaiursa5c+fg7+8vOnajuNHC+cnWxsD2BVISaQcS0HBTw+DBg/H8889j5syZcHNzQ0REBHx9fRXR\n9q3VagHU3cqcWh7bGK4mon2BbQvUXNLtsgMab2qoqKjAfffdh+3bt2Pbtm0YOXIkAMDX11dkZIek\np6crpndPiZyhjcEZWhg4jKi5pFwhWZoaamtroVarrU0NMTExOHXqFKZMmYKdO3fCx8cHa9asQVhY\nmPQ9dgAQFRUlOgJJztLCwHNI5IqkHEjA/2fv3sObrO/+gb9LTRHtykHkIFQKCAVs6wHwEjfkEZAi\nJIucNlqpbFYOm9I9c4JNVYpQ0lZURIf6IEUYmDCe4hbKQZSrgoDtlIcKKRPxYVZoOf+Acmh92ob8\n/sgSaUnS9JTvJ+n7dV33FUmDvnHX8vF739/7fXtvapg5cyamTJmCa9euYfDgwQGz7Zun6sgXbGGg\n1krsQIqOjsaHH37o9mfTpk3DtGnT/Jyo6axWKwBubiAickfcNaRgbmrQ6XTQ6XSqYxARiSRuINVV\nXl6OUaNG4eOPP3a9d+DAAUyaNAmPPfYYpk+fjjNnzri2fGs0GpSVlamKS0REjSRuIDmbGgYOHAi7\n3Y4XXngBV65ccf28qqoKKSkpSEtLw7Zt2xAfH++6R8lisYhu1C4pKWFtEBGRB+IG0vXeeecdREdH\no3///q73rFYrwsPDMXjwYADA5MmTUVBQEBAP6CMKFoWFQHa245WouYgdSHv37sVXX32FlJSUWu+f\nOnXKVRsEOLaId+rUCadPn/Z3xAbTarXQarWqY1ArNn6840bZph7DhgGpqY7X5vj7XX+MH6/63xKp\nInKX3YkTJ5CVlYVVq1a5+uycrl27dsM9R3a7/YbPSVTMOwaDEhsimpeKdglv2DzhPyIH0scff4zK\nyko8/fTTABzlqq+++iouXLiAfv361dpJ5+yx69q1q6q4PjMajaojUAtobV9WhYXA8OFATY2jTYKP\nUafmInIgPfXUU3jqqadcv05KSsITTzyBsWPHugbQ/v37cf/992Pjxo249957ERERoTCxbxITE1VH\nIGoytklQSxE5kLzRaDSuFofKykp06NAB2dnZqmP5xGQyAeBgosDHNglqCQExkNauXVvr13FxccjN\nzVWUpvHS0tIAcCAREbkjbpddY5sabDYb9Hq96I0DMTExou+TIiJSSdxAqstdU4PTsmXLsHDhQgWp\nGmfz5s3YvHmz6hhERCKJG0j1NTUAjnuRUlJS8MEHH7jeC4SmBiIi8kz0NSRnU8PVq1drvZ+bm4sH\nHngAffv2RXl5uaJ0DRcVFQUArA8ivygs5E44CiziVkhOnpoaAODZZ5/FtGnT0KaN2PhEzaIpzQqN\nbVNgUwKpInKF5K2pIZDl5eWpjkAtLBhaG1qqKYGNB1QfkQPJW1NDID8GnA/mC35SvnDZpkCBSORA\n8tbUEMgMBgMAPsqcWh7bFCgQiRxIwcpsNgPgQCL/YJsCBZqAGEh1mxqc5syZ4+ckTRPIpxuJiFqa\nuIHkbGrIysrCwIEDff59NpsNEydOxLFjx1owXdNwZURE5FmI3W63qw7RWlitVgDc3EBE5I6oG3lK\nS0sxcODAWl127qqDdu/ejYkTJ0Kv12PChAnYs2cPACA5ORkPPPAAcnJylOSvj06ng06nUx2DiEgk\ncafsnNVBANxWB12+fBnPP/881q1bh379+uHw4cOYNm0adu7ciZycHKSmpqqKTkGGTQdE/iVuIF3P\nXXVQdXU10tPT0a9fPwDAXXfdBbvdjgsXLiA8PFxVVJ+wMuhG48c7bsSkxhk3DtiyRXUKouYh6pTd\n9TxVB3Xq1Anjxo1z/fqtt95CVFQUIiMj/R2xxcTENL4uJtAODqOmcbYq8Gj4wR5meUSukHypDqqp\nqUFWVhY+//xzrF692r8BG0mr1QJAvY+gkHK3f2vGpgMi/xM5kOqrDiovL0dKSgrsdjv++te/omPH\njooT+0bywwOpNjYdEPmfyIHkrTrIZrNh5syZuOuuu/DKK6/gpptE/hHcMhqNqiNQA7DpgMi/Aufb\n/N+2bduGr7/+GhUVFZg0aZLr/VdffRXR0dEKk9UvMTFRdQQiIrECYiBdXx2k1Wpd12ICjclkAsDB\nRETkjrhdds7qIOeNsQ2RnJyM/Pz8FkjVPNLS0pCWlqY6BhGRSOIGUl3umhq2bduGX/7yl9DpdHjy\nySdRUlICm82Gc+fOobq6Gj169FCY2LOYmBjEcK8pEZFb4k7Z1dfUcPbsWaSnp2PTpk3o1q0b1q1b\nh0WLFiEnJwcWiwVJSUmqotervu3eFNzY/EDknbiBdD13TQ2333479u7dC41Gg5qaGpSVlaFDhw4K\nU1Jr5Y+WCTYxUGsi9pSdp6YGANBoNLBarRgxYgQ2bNiAadOmKUjYcFFRUYiKilIdo9Vo6cYLf7RM\n+KuJgWeSSQKRA8nZ1LBkyRKPTQ2xsbHYu3cvli5dilmzZuHSpUt+TknSFRcDdruMo6DA0fgAOF4L\nCtRnuv7gPdskgchTdt6aGkaOHIkjR45g+PDhAICHH34Y4eHhOHbsmPgNA3l5eaojkCJsfiCqn8iB\n5K2p4fjx43juueeQm5uLXr16obCwEDU1Nejbt6/CxL7hg/laNzY/EHknciB5ExkZiYyMDMyZMwch\nISGIiIjAe++9h3bt2qmOVi+DwQCAjzInInInIAbS9U0NABAfH4/4+HhFaRrPbDYD4EAiInJH3KaG\nxjY12Gw26PV60Y3aCQkJSEhIUB2DiEgkcQOpLndNDU4HDx5ETEwMzp8/j9DQUHTu3BkajQZlZWUK\nktYvMzOTqyMiIg/EDSRnU8PAgQPdNjU4nT9/HgsWLEB1dbXrvZycHIwcOdKfcRvEarXCarWqjhGU\nCguB7GzHKxEFJtHXkNw1NQDAtWvXMHfuXPzxj390bQ0PBDqdDgBQUlKiNohA/mg98IRtCEQyiFsh\nOXlrali2bBni4uJc9yJR82vplgMVrQeetGQbgvBb44hEEblCcjY1rFq16oamhp07d+LgwYPIyclR\nlK7xAmllJHhvyA0KC4Hhw4GaGkcLwu7dvN+HKBCJHEjemhq++OILnDp1ChMmTHB9fvr06TAajbzx\ntJViCwJRcBA5kLw1NdTdNh0dHY01a9agU6dO/o7ZYM4n3fIxFM2PLQhEgU/kQApWku+RIiJSLSAG\nUt2mhut9++23fkzSNEajUXUEIiKxxO2ya2xTAwAkJycjPz+/BVI1j8TERCQmJqqOQUQkkriBVJe7\npoa1a9fi5z//OfR6PfR6fcB8yZtMJphMJtUxiIhEEnfKztnUAMBjU0NRURFSU1NdN5o65eTkIDU1\n1W9ZGyotLQ0AAmaAEhH5k7iBdD1PTQ1FRUW4cuUKVqxYgS5dumDevHmIjo5WlNJ30h8g2JoVFnLb\nOJFqYgeSs6khJycHv/nNb1zvV1RUoE+fPpgxYwaGDh2KrVu3YsaMGdi2bRtuvfVWdYF9wO3e/tcS\nlUSsGiJqGSKvITmbGpYsWXJDU8Mtt9yCnJwcDB06FAAwbtw4tG/fnqWlQag56otaopKopaqGuICm\n1k7kCslbU8PDDz+M/Px8JCUluT5vt9tx000i/yi1REVFAQisCiGV/HXbFquHiGQQ+S3uranh/Pnz\nePPNN3HPPfcgLi4Ou3btQmVlJeLi4hQmpkDG6iEiGUQOJG86deqEN998E/Pnz0d1dTXCw8OxfPly\nhIWFqY5Wr7y8PNURyANWDxGpFxADqW5Tw/DhwwPy0RMsfyUi8kzcpoZgbmowGAwwGAyqYxARiSRu\nINXlrqnhxIkTmDVrFh5//HHodDrs3r1bYULfmc1mmM1m1TGIiEQSd8rOl6aG2bNnY+rUqUhMTMQ/\n//lPTJ8+HXv37hXf1FD30RlERPQTcQPpeu6aGr755huUl5e76ncGDRoEk8mEkJAQVTF9lpmZqTpC\nq8dGBiK5xJ6yczY1pKSk1Hr/+++/R48ePZCZmYkpU6Zg6tSpOHv2LDQajaKkvrNarbyBt4nGj2/a\nzafDhgGpqY7Xpvx9xo9X/W+CKPiIXCE5mxpWrVp1Q1NDTU0N9u/fj6eeegoGgwEHDx7EjBkzsGnT\nJnTt2lVRYt84y2CD5cbYmBjg0CHVKdRwtjX42913+++GYSJ/EzmQvDU19O7dGxERERg9ejQAIC4u\nDj179sThw4fFD6RgE2hfjGxkIJJN5EDy1tRQVVWFsLAwfPbZZ3jkkUdw9OhRHD9+HAMGDFCY2DfB\nsjIKVGxkIJJN5EDyJiwsDDk5OcjIyMDrr78OwPFocK6OyBdsZCCSKyAGUt2mhujo6BveCwRarRYA\nH0NBROSOuF12wdzUUFxcjOJAu/BCROQn4ldI5eXlmDhxIubOnYuxY8fiiy++QHZ2tuvnP/74I0pK\nSrBx40acO3cO1dXV6NGjh8LEnhmNRtURiIjEEjeQ6mtqeOihh1w/B4CUlBSMGTMGMTExsFgstZ6T\nJI3zZl4iIrqRuIF0PXdNDdezWCwoLS3FG2+84edkjWMymQBwMPmKrQpErYvYgeRsasjJycFvfvOb\nG35eVVWFpUuX4rXXXguIp8UCQFpaGoDAH0jjx7fMo8FVGTcO2LJFdQoiEvlN7q2pwWn79u2IjIzE\nkCFD/Jyu8WJiYv792nobDiRS1brQXNjeQMFC5EDy1tTgbMzeunUrJk6cqDJmg3G7t+/YqkDU+ogc\nSN6aGgDHZod9+/YhPT1dVURqYWxVIGp9RA6k+ly4cAEVFRXo1q2b6igNEhUVBYAVQr5iqwJR6xIQ\nA6luK0OnTp1wiBdhiIiCStA0NdhsNuj1etFNCHl5ecjLy1Mdg4hIJHEDqa7y8nKMGjUKH3/8seu9\nffv2YeLEidDr9fjVr34VMA+9i42NRWxsrOoYREQiiRtIzqaGgQMHum1qAIB58+Zh7ty5sFgsmDFj\nBlJTUxEaGgqLxeLaWi2RwWCAwWBQHYOISCRxA+l6zqaG/v3713rfZrPh0qVLAICrV6+ibdu2KuI1\nmNlshtlsVh2jVSksBLKzHa9EJJvYTQ3emhqMRiOeeeYZLF68GJcvX8aqVavUhGwg5z1U1Dj+bohg\ngwORf4kcSN6aGs6dO4eXX34Za9euRWxsLHbs2IGUlBRs374dt9xyi6LEvsnMzFQdoUUEa/NESzY4\nsF2B6EYiB5K3poaOHTvijjvucG0OGD16NIxGI44ePSp+w4Bz84X0nA0l9YuVbQ9EgUXkQPLW1PD9\n99/ju+++w/fff4/evXvjwIEDqKysRO/evRUm9o1OpwPAG2P9hW0PRIFF5EDypnfv3liwYAFSUlIA\nAO3atcPbb7+N8PBwxclIIrY9EAWOgBhIdZsaHnvsMTz22GOK0jQeV0ZERJ6J2/YdzE0NRETkmbiB\nVJe7poatW7di/Pjx+OUvf4mZM2eirKxMYULfabVaaLVa1TGIiEQSd8rO2dQAwG1TQ0lJCdLT07Fu\n3TpER0fjq6++QkpKCjZu3AiLxYKkpCRV0evF1RsRkWfiBtL1nE0NV69edb13+PBhDBgwANHR0QCA\noUOHoqysDKWlpejZs6eqqD4xGo2qI5BAhYXcCUgECB5InpoaBg0ahCNHjuCbb77BwIEDkZ+fj4sX\nL+Ls2bPiB1JiYqLqCORnzd0uwfYICmYiB5K3poY777wTRqMR6enpqKqqwqhRozBgwABoNBpFaX1n\nMpkAcDAFAqntE83RHsGWCJJK5EDy1tQwadIk9OrVCxs2bAAAVFVVYc2aNeJXRwCQlpYGgAMpEPjr\nC5ttEkQ/ETmQvDU1XLlyBQkJCdi0aRO6d++O1atXY/DgwejQoYPCxL6R/GgMUoNtEkQ/ETmQvAkP\nD8eiRYswY8YM2Gw29O3bN2BKSzdv3qw6AgnENgkih4AYSHWbGsaOHYuxY8cqSkNERC1B3I2xwdzU\nEBUVhaioKNUxiIhEErtCunr1Ku677z7ceeedrveWLl2KPn364MCBA1i4cCEqKirQpUsXLFmyBLfd\ndpvCtERE1FTiBpKzqWH9+vXQarVYtGhRrZ9XVVUhJSUFb7zxBgYPHgyTyYQXX3wR77//vvimhry8\nPNURiIjEEnfKzqmoqAhHjx7FhAkTMHnyZHzyyScAHA+5Cw8Px+DBgwEAkydPRkFBAS5cuKAyrk9i\nY2OD7uF8RE1RWAhkZzteicStkJzatWuH8ePHY+rUqSgpKcG0adPQvXt3nDp1Ct26dXN9LiwsDJ06\ndcLp06fRsWNHhYnrZzAYAATvo8xJhuZuh2ht2IahjtiBtGDBAtdf9+3bF+PGjcNnn32G3r17I6TO\nrep2u/2GRgeJzGYzAA6khpDamEDBqznaMAKV6hYPkQPJZrNhxYoVSEpKcj0J1m6346abbkL37t1x\n5swZ12erq6tx8eJFdO3aVVVcnyUkJKiOEHAEb5qkJmJLBdUlciCFhoYiPz8fbdu2xVNPPYWysjJ8\n8sknWLNmDe68805cvHgR+/fvx/3334+NGzfi3nvvRUREhOrY9eLKiOgnbKmgukQOJAB47bXXkJ6e\njr/97W+w2WxIS0tD3759AQB//vOfsXDhQlRWVqJDhw7Izs5WnNY3VqsVALixgejf2FJB1xM7kHr1\n6oXVq1e7/VlcXBxyc3P9G6gZ6HQ6AI6HDBIRUW3itn0Hc1MDERF5JnaF5K2pwWnZsmUoLy/H/Pnz\nVURsMK6MiIg8E7dCcjY1/O///i+0Wi0sFovrcA6jU6dOISUlBR988IHr94WGhsJisfARD0REAUrs\nCqmoqAjHjx/HhAkTEBoaipkzZ2LMmDEAgNzcXDzwwAPo27cvysvLFSf1nVarBcDHUJB8hYXc/Ub+\nJ3YgeWpqiI2NxbPPPgsAePvttxWnbBhe36KWJrWlge0H5AuxA8lTU0Mgb5k2Go2qI1AzY5OEb6S2\nH6huJqDaRA4kb00NgSwxMVF1BGpmwfhlxgYFUkXcpgbgp6aGDRs2AICrqSE+Pl5xsqYxmUwwmUyq\nYxB55WxQyMriMCL/Ervk8NbUEKjS0tIAcKVE8rFBgVQQO5C8NTU4zZkzxz9hmgm3pBMReSbulF0w\nNzVs3ryZW76JiDwQu0Ly1tSwe/duLF26FDabDW3atMGf/vQn/OIXv0Dnzp1x8uRJlJWVKUxORESN\nIW4gOZsa1q9fD61Wi0WLFtX6+eXLl/H8889j3bp16NevHw4fPoxp06Zh586dyMnJQWpqqqLk9YuK\nigLACiEiInfEnbJzKioqwtGjRzFhwgRMnjwZn3zyCQDHA/nS09PRr18/AMBdd90Fu92OCxcuqIxL\npExhIZCd7XglCmTiVkhO3poaxo0b5/rcW2+9haioKERGRipM65u8vDzVEUghqS0K9WHLAvmL2IFU\nX1NDTU0NsrKy8Pnnn9e7G0+KQG6ZCERsUWgeUlsW3GHzQmATecrOZrPh3XffxZUrV1zvXd/UUF5e\njuTkZBw5cgR//etfcccdd6iK2iAGgwEGg0F1jFajuBiw24P7KChwtCkAjteCAvWZVB4cRoFN5EDy\n1tRgs9kwc+ZM9OzZE6tWrULHjh0Vp/Wd2WyG2WxWHYOCCFsVKJiIPWXnqalh8+bN+Prrr1FRUYFJ\nkya5Pv/qq68iOjpaYeL6JSQkqI5AQYitChQsxA4kT00NWq3W9VyhQJOZmak6AhGRWOJO2TW2qQEA\nkpOTkZ+f3wKpmofVaoXValUdg4hIJLErJG9NDdu2bcO7774Lu92Ojh07YuHChYiMjMS5c+dQXV2N\nHj16KEzumU6nA8AbY4mI3BE3kOprajh79izS09OxadMmdOvWDevWrcOiRYuQk5MDi8WCpKQkRcmJ\niKgpxA0kp6KiIhw/fhwTJkxAaGgoZs6ciTFjxuD222/H3r17odFoUFNTg7KyMnTo0EF1XJ9wiAkT\nHAAAIABJREFUZSRHYSGwaxcwYgQ3BBBJIXYgeWtq0Gg0sFqtmD17Nn788UesXLlSdVxqIYHabuDE\nlgMi34kdSPU1NcTGxmLv3r34/PPPMWvWLOzYsQMRERGK0vrGuTtQwiMo2GLgH9JbDthsQJKI22UH\neG9qOH36NHbv3u16/+GHH0Z4eDiOHTumImqDFBcXi3leU2toMWC7AZsNKLCIXCE5mxratm2Lp556\nytXUsGbNGlRVVeG5555Dbm4uevXqhcLCQtTU1ATE482NRqPqCISf2g14DYlIFpEDCfDc1AAAGRkZ\nmDNnDkJCQhAREYH33nsP7dq1U5y4fomJiaoj0L+x3YBIHrEDyVNTAwDEx8cjPj7ev4GagclkAsDB\nRETkjrhrSI1tarDZbNDr9WKu0biTlpaGtLQ01TGIiEQSu0Ly1tTgdPDgQSQmJuLzzz9Hp06d0Llz\nZ5w8eRJlZWUqItcrJiZGdQQiIrHEDaT6mhqczp8/jwULFqC6utr1Xk5ODlJTU/0VtcEkbPcmIpJK\n3Ck7p6KiIhw9ehQTJkzA5MmT8cknn7h+du3aNcydOxd//OMfFSakYFNYCGRnO16JyP/ErZCcvDU1\nLFu2DHFxcRg+fLjqmA0SFRUFgBVCqjWl/YHNC0QtR+xA8tTU8P/+3//DwYMHkZOToy4cKSGhXaKh\nzQtsQiDynchTdt6aGjZu3IhTp05hwoQJ0Ov1AIDp06cHxHOG8vLykJeXpzpGwGrJdomWam/gMCLy\nncgVkremht///ve1PhsdHY01a9agU6dOitL6ztnDR/KwvYFIPZEDCfDe1BCoDAYDAD7KXCq2NxCp\nJXYgeWtquN63337b8mGaidlsBsCBRETkjrhrSI1tagCA5ORk5Ofnt0Cq5pGQkICEhATVMYiIRAqx\n2+121SGIiIhErZBKS0sxcOBA6PV67Nu3D/fddx/0er3r+Ne//gUAWLt2LX7+85+73neWlSYnJ+OB\nBx4QuyXcarUGxG5AIiIVxF1D8qU6qKioCKmpqdDpdLXel14d5MzLG2Nbr8JC7uQj8kTcQHIqKirC\n8ePHMWHCBISGhmLmzJkYM2aM62dXrlzBihUr0KVLF8ybNw/R0dGKE1Nr0pS2h8ZgQwS1BmIHkqfq\noL59+6JPnz6YMWMGhg4diq1bt2LGjBnYtm0bbr31VtWxveLKyP8ktDs0h4Y2RDQVGyZIBVHXkK63\nYMECPPHEEwgNDa1VHXTLLbcgJycHQ4cOBQCMGzcO7du357UZcqsl2x2ktEG0xMFhRCqIHEjeqoPK\nysqwdu3aWp93/kw6rVYLrVarOgYp4myDyMpyvPIaElFtIr/FvVUHtWvXDm+++SbuuecexMXFYdeu\nXaisrERcXJzq2PWS/DRb8g+2QRB5JnIgAd6rg958803Mnz8f1dXVCA8Px/LlyxEWFqY4cf2MRqPq\nCEREYokdSN6qg4YPHx5wz0IC4LpfioiIbiTuGlIwVweZTCaYTCbVMYiIRBK7Qrp69Sruu+8+3Hnn\nna73li5dij59+uDEiRN45ZVXcPr0adhsNsybNy8gVkxpaWkAuFIiInJH3EDypalh9uzZmDp1KhIT\nE/HPf/4T06dPx969e8U3NcTExKiO0CqxHYEoMIgbSE6emhq++eYblJeXu1YZgwYNgslkQog/7xps\npM2bN6uOIJa/mw+aA9sTiJqX2IHkqanh+PHj6NGjBzIzM7F//36EhoYiJSUF/fr1Ux05IARLc4EE\n/m5P8IStChQsxA6kBQsWuP76+qaGqKgo7N+/H0899RQMBgMOHjyIGTNmYNOmTejatau6wD6IiooC\noLZCqLV9cRUWAsOHAzU1jnYE3pBKJJe4XXaA96aGLl26ICIiAqNHjwYAxMXFoWfPnjh8+LCquCQY\n2xGIAofIFZK3pobIyEiEhYXhs88+wyOPPIKjR4/i+PHjGDBggOrY9crLy1MdoVViOwJRYBA5kADv\nTQ05OTnIyMjA66+/DsDRgCD9dB0AxMbGqo5ARCSW2IHkrakhOjr6hoLVQGAwGAAAmZmZipMQEckj\n7hpSMDc1mM1mmM1m1TGIiEQSu0Ly1NRw6tQpZGdnu9778ccfUVJSgo0bN+LcuXOorq5Gjx49VESu\nV0JCguoIRERihdjtdrvqEE6lpaXQ6XQoKirC+vXrcejQIbdNDddLSUlBr1698Kc//QkAkJSUhCee\neAJjx471R2QiImom4k7ZORUVFeHo0aOYMGECJk+ejE8++eSGz1gsFpSWluIPf/iDgoQNZ7VaW+2T\nbQsLgexsxysRkTtiT9l5ampw7lSrqqrC0qVL8dprrwXE02IBQKfTAVB7Y2xjSaj2YVUPUXAT+03u\nqanBOZC2b9+OyMhIDBkyRFFCdVpr/Y+Kqh7W8hD5j8hTdt6aGpy2bt2KiRMnqojXaCUlJc2yOiou\nBuz2wDkKChy1PYDjtaBAfSZfDw4jIv8ROZCcTQ0bNmwAAFdTQ3x8PADHcNq3bx+GDRumMib5iPU9\nROQLsafsvDU1XLhwARUVFejWrZvilA2j1WoBtM7HULC+h4jqI3YgeWtq6NSpEw4F4EWUYp7/ISLy\nSNxAcjY1ZGVlYeDAgT7/PpvNhokTJ+LYsWMtmK5pjEaj6ghERGKJG0hOnpoa+vTpg3379sFoNMJm\ns6Ft27Z4+eWXMWjQIIVpfeN8yi0REd1I3EC6+eabYbFYsH79emi1WrdNDfPmzcPixYsxbNgwfPrp\np0hNTcWWLVtgsViQlJSkILVvTCYTAA4mIiJ3xA0kp6KiIhw/fhwTJkxAaGgoZs6ciTFjxgBwnJ67\ndOkSAMdKqm3btiqj+iwtLQ0ABxI1XWEhsGsXMGIEN4tQ8BA7kLw1NRiNRjzzzDNYvHgxLl++jFWr\nVqmO65OYmBjVEUgRCU0X3rAFgyQQO5A8NTV0794dL7/8MtauXYvY2Fjs2LEDKSkp2L59O2655RZ1\ngX3QGrd7q9ZaWy0aSkULhq/YltF6iLwx1ltTw759+3DHHXe4KoRGjx4NjUaDo0ePqopLggVaq0Ww\nN1+wLYO8ETmQvDU1REdH47vvvsP3338PADhw4AAqKyvRu3dvlZF9EhUVhaioKNUxKMCx+YKCldhT\ndt6aGhYsWICUlBQAjmtNb7/9NsLDw1XGJfIrNl9QMBI7kLw1NTz22GN47LHH/BuoGeTl5amOQEQk\nlrhTds6mhm+++aZBv89ms0Gv14uu54mNjXVd+yIiotrErpC8NTVs3boVy5cvR2hoKLp164b09PSA\nKFo1GAwAgMzMTMVJiIjkCbHb7XbVIZxKS0uh0+lQVFSE9evX49ChQzc0NZSUlGDKlClYt24doqOj\n8dVXXyErKwsbN24EACQlJeGJJ57A2LFjVfwRvHJuaAjEJ8YSEbU0sSskT00Nhw8fxoABAxAdHQ0A\nGDp0KMrKylBaWoqePXsqTu1dQkKC6ggkFJsXiAQPJE9NDYMGDcKRI0fwzTffYODAgcjPz8fFixdx\n9uxZ8QOJp+qCk7QWBrYuUKASO5A8NTWkpKTAaDQiPT0dVVVVGDVqFAYMGACNRqMurI+sVisAcGND\nM2ADg2dSWhfYsEANJXIg2Ww2rFixAklJSa77i5xNDVVVVejVq5frptmqqiqsWbNG/OoIAHQ6HQBe\nQ2oOwfRFV1gIDB8O1NQ4mhd4syu1VuK2fQPemxqqqqqQkJCAkydPAgBWr16NwYMHo0OHDiojEzUa\nmxeIHESukADvTQ2LFi3CjBkzYLPZ0Ldv34C5NsOVEXnC5gUiwQPJW1PD2LFjRW7rJiKixhN3yi6Y\nmxq0Wi20Wq3qGEREIoldIf34449YuHAh9u/fj8rKSkyZMgVPP/00AEfD98KFC1FRUYEuXbpgyZIl\nuO222xQnrp/kYUlEpJq4FdLNN98Mi8WCLVu2oLy8HBs3bkRubi5MJhO+/vprVFVVISUlBWlpadi2\nbRvi4+Px4osvIjQ0FBaLRfRTWY1GI4xGo+oYREQiiVwh2e12WCwW5ObmIjQ0FD/72c+wZs0atG/f\nHlarFeHh4Rg8eDAAYPLkyTAajbhw4QI6duyoOLl3iYmJqiNQHWxIIJJD5EA6f/48rl69ii+++AIv\nvfQSLl26hIkTJ2L69Ok4depUrSLVsLAwdOrUCadPnxY/kEwmEwAOJl9Iaz9obmxTILqRyIFUU1MD\nm82GY8eOYc2aNTh//jySkpLQo0cPXLt2DSF1bkO32+0IDQ1VlNZ3aWlpAJpnILGpILBJaVNoLmxl\noOYgciB17NgRGo0Gjz/+ONq0aYPOnTvjP/7jP1BUVIRHHnkEZ86ccX22uroaFy9eRNeuXRUm9k1z\nXt/i//mbjg0JRLKI29QAOE7DPfLII/j73/8OAK7Td7Gxsbjnnntw8eJF7N+/HwCwceNG3HvvvYiI\niFAZ2SebN2/G5s2bVcegf2NDApEsIldIgKONYfHixRg3bhxsNht0Op3rZtg///nPWLhwISorK9Gh\nQwdkZ2crTkuBig0JRHKIHUgdOnTAkiVL3P4sLi4Oubm5fk7UdHxAHxGRZ+JO2QVzUwMREXkmdoXk\nranBadmyZSgvL8f8+fMVpWyYvLw81RGIiMQSt0Kqr6kBAE6dOoWUlBR88MEHrt8XCE0NsbGxfDgf\nEZEHIldI3poaACA3NxcPPPAA+vbti/LycsVpfWcwGADwUeb+xjYGosAgboUE1G5qSEpKgl6vR35+\nvmtr97PPPotp06ahTRuR8T0ym80wm82qYwSd8eMdN5l6OoYNA1JTHa91fzZ+vOr0ROQkcoXkralh\n9OjRquM1WkJCguoIAcUfbRRNaUxgOwFR8xI5kLw1NQTyQOKpuoZpji97tjEQBQ6R57y8NTUEMqvV\nCqvVqjpGq8I2BqLAIXKFBHhvaghUOp0OAG+M9Te2MRAFBrEDyVtTg9OcOXP8lIaIiFqauFN2wdzU\nUFJSwtUREZEH4gaSk7Op4fHHH0d8fDxWrlzp+tnu3bsxceJE6PV6TJgwAXv27EFoaCg6d+4MjUaD\nsrIyhcmJiKgxxJ2yczY1ZGRkuJoaKioqoNfrMWTIEPTt2xfPP/881q1bh379+uHw4cOYNm0adu7c\niZycHKSmpqr+I3ik1WoBgI+gICJyQ9xAArw3NVRXVyM9PR39+vUDANx1112w2+24cOECwsPDFSf3\nTvLpRApebKqgQCFyIF3f1PDSSy/h0qVLmDhxIqZPnw4AGDdunOuzb731FqKiohAZGakqrs+MRqPq\nCBRgxo933Lyr2rhxwJYtqlNQsBM5kHxpaqipqUFWVhY+//xzrF69Wm1gHyUmJqqOQA3gj6aIQNGU\nRovGYhNG6yNyU4O3pgYAKC8vR3JyMo4cOYK//vWvuOOOOxQn9o3JZILJZFIdg3xUXAzY7YF9FBQ4\nGioAx2tBgfpMvh4cRq2PyIHkranBZrNh5syZ6NmzJ1atWoWOHTsqTuu7tLQ0pKWlqY5BrQibKiiQ\niDxlB3huati8eTO+/vprVFRUYNKkSa7Pv/rqq4iOjlaYuH6Sn9VEwYtNFRQoxA4kT00NWq3WtX06\n0HC7NxGRZ+JO2TW2qQEAkpOTkZ+f3wKpiIiopYldITmbGvbv34/KykpMmTIFTz/9NABg27ZtePfd\nd2G329GxY0csXLgQkZGROHfuHKqrq9GjRw/F6d2LiooCwHJVIiJ3xK2QnE0NW7ZscTU15ObmwmQy\n4euvv8bZs2eRnp6OFStWIC8vD2PGjMGiRYsQGhoKi8XC6zRERAFK5ArJW1NDREQE9u7dC41Gg5qa\nGpSVlaFDhw6qI/skLy9PdQQSgu0JRDcSOZDqa2rQaDSwWq2YPXs2fvzxx1rFq5IF+gMGWxMpDQmN\nxWYFCkQiB5IvTQ2xsbHYu3cvPv/8c8yaNQs7duxARESE4uTeGQwGAK37UeZsP/APFc0KjcE2Brqe\nuGtIgPemhtOnT2P37t2uzz788MMIDw/HsWPHFCb2jdlshtlsVh1DqWBoP2jN7QlsY6CWJHIgeWtq\nqKqqwnPPPYcffvgBAFBYWIiamhr07dtXZWSfJCQkICEhQXUMUoztCUTuiTxlB3huagCAjIwMzJkz\nByEhIYiIiMB7772Hdu3aKU5cv9Z8qo5qY3sC0Y3EDiRPTQ0AEB8fj/j4eD8najqr1QqAmxuIiNwR\nd8qusU0NNpsNer1e9EPwdDoddDqd6hhERCKJG0hOzqaGxx9/HPHx8W63dh88eBAxMTE4f/48QkND\n0blzZ2g0GpSVlSlITERETSFuINXX1OB0/vx5LFiwANXV1a73cnJyMHLkSBWxfVJSUsLaICIiD8QN\nJOCnpoaUlJRaTQ19+vQBAFy7dg1z587FH//4R8VJifyrsBDIzna8EgUbkZsa6mtqWLZsGeLi4jB8\n+HDFSRvG+dgMPoaCAP+1QbC1gQKFyIHkranhpptuwsGDB5GTk6M6ZoNJ3nBBvgu0tomWaG1gwwK1\nBJEDyVtTw7Fjx3Dq1ClMmDDB9fnp06fDaDSK305tNBpVR6BmoOqLuLAQGD4cqKlxNDzwploKNiIH\n0vVNDS+88ILr9N3vfvc7zJ07t9Zno6OjsWbNGnTq1ElRWt8lJiaqjkABzNnwwJZwClYiBxLgvakh\nUJlMJgAcTNR4bHigYCZ2IHlrarjet99+64c0zSMtLQ0ABxIRkTvitn03tqkBAJKTk5Gfn98CqZpH\nTEwMn2hLROSB2BWSs6lh//79qKysxJQpU/D0008DANauXYv33nsPnTt3BgDceuutrtNhknG7NxGR\nZ+IGkrOpISMjw9XUUFFRAb1ejyFDhuDee+9FUVERUlNTb+iFy8nJQWpqqqLkRETUFOIGEvBTU0Nu\nbm6tpob27dsDAIqKinDlyhWsWLECXbp0wbx58xAdHa04df2ioqIAgPVBghUWchcbkSririEBtZsa\nkpKSoNfrkZ+fj4iICFRUVKBPnz6YMWMG8vLyMGnSJMyYMQNXr15VHZua2fjxjhs6/XkMGwakpjpe\n/fHPGz9e9b9lIjlErpC8NTWMHj26VkvDuHHj8O6778JqteJB4f9Jm5eX1yJ/30BrDqCftESLQnNh\nGwP5m8iB5K2pYeDAgcjPz0dSUpLr83a7HTfdJPKPUktLNUnwS6N5sAmBSC2Rp+yub2oA4Dp9Fxsb\ni3bt2uHNN9/EwYMHAQC7du1CZWUl4uLiVEb2icFggMFgUB2DPHA2IWRlcRgRqSB2WeGtqeHNN9/E\n/PnzUV1djfDwcCxfvhxhYWGKE9fPbDYDADIzMxUnIU/YhECkjtiB5K2pYfjw4QH36AkASEhIUB2B\niEgscafsgrmpITMzk6sjIiIPxA0kJ2dTw+OPP474+HisXLnS9bMTJ05g1qxZePzxx6HT6bB7926F\nSX1ntVphtVpVxyAiEkncQHI2NWzZssXV1JCbmwuTyYSvv/4aADB79myMGDECf//735GdnY3nnnsO\nVVVVyMnJwciRIxX/CTzT6XQ3tEsQEZGDyGtI3poavvnmG5SXl7saswcNGgSTyYQQqTdzEHnAVgii\n2kQOpOubGl566SVcunQJEydOxPTp07Fnzx706NEDmZmZ2L9/P0JDQ5GSkoJ+/fqpjl0vVgYFv/Hj\nHTe7toRx44AtW1rm700kgciB5K2poaamBvv378dTTz0Fg8GAgwcPYsaMGdi0aRO6du2qOjoFkEBr\nuGiOVge2L5Bk4q4hAd6bGrp06YKIiAiMHj0aABAXF4eePXvi8OHDilPXT6vVQqvVqo5B/1ZcDNjt\nao6CAkcbBOB4LSjwzz+Xw4gkEzmQvDU13H///QgLC8Nnn30GADh69CiOHz+OAQMGqIzsk+LiYhTz\nG4HAVggid0SesgO8NzXk5OQgIyMDr7/+OgDAaDQGxOk6o9GoOgIJwlYIotrEDiRvTQ3R0dFYu3at\nnxM1nXNnIBER3UjcKbtgbmowmUwB8ah1IiIVQux2u111iNaCT4wlIvJM1Cm70tJSPProo+jfvz8W\nLFiAvLw87N+/H5WVlZgyZQqefvppfPHFF8jOznb9nh9//BElJSXYuHEjXnzxRRw7dgyZmZmu602S\nxMTEqI5ARCSWqIEE/FQdlJGR4aoOqqiogF6vx5AhQ/DQQw/BYrG4Pp+SkoIxY8YgJiYGFoul1oP7\npNm8ebPqCBSg2OpArYG4gQR4rw66nsViQWlpKd544w1FSYkar6VaHdjoQIFK3KYGoHZ1UFJSEvR6\nPfLz8xEREeH6TFVVFZYuXYq0tLSAeHw54LiG5LyORIErJsbRmNDUo6UqhpyNDs198IwztTSR3+Te\nqoOcDQ3bt29HZGQkhgwZojgttTb+vre5sBAYPhyoqXG0OvBGWgpWIgeSt+og50DaunUrJk6cqDhp\nw+Tl5amOQAHI2erAa0gU7ESesvNWHQQ4rjHt27cPw4YNUxmzwWJjY11/BqKGePBB4IUXOIwouIkc\nSICjOujcuXMYN24cJk6ciEcffdS1lfvChQuoqKhAt27dFKdsGIPBAIPBoDoGEZFIIk/ZAd6rgzp1\n6oRDgfTcgH8zm80AgMzMTMVJiIjkEbdCamx1kM1mg16vF92mnZCQgISEBNUxiIhEErtC+vHHH7Fw\n4cIbmhoAYN++fTAajbDZbGjbti1efvllDBo0SHHi+nFlRETkmbgVkrOpYcuWLa6mhtzcXJhMJnz9\n9dcAgHnz5mHu3LmwWCyYMWMGUlNTERoaCovFIrqex2q1wmq1qo4RtAoLgexsxysRBR6RK6T6mhps\nNhsuXboEwLEDr23btirj+kyn0wFguaovWqrFwB02GxDJIHIgXd/U8NJLL+HSpUuYOHEipk+fDsDx\noLtnnnkGixcvxuXLl7Fq1SrFiVufmBggAPeVuOVsNvC3u+/mI8WJridyIHlrarj33nvx8ssvY+3a\ntYiNjcWOHTuQkpKC7du345ZbblEd3atgWhlJ+yJlmwFR4BN3DQnw3tSwb98+3HHHHa4bTEePHg2N\nRoOjR48qTk0qOdsMsrI4jIgClciB5K2pITo6Gt999x2+//57AMCBAwdQWVmJ3r17q4zsE61WC61W\nqzpG0GKbAVFgE3nKDnA0NSxevBjjxo2DzWaDTqdzNTUsWLAAKSkpAIB27drh7bffRnh4uMq4PpF8\njxQRkWpiB5K3pobHHnsMjz32mJ8TNZ3RaFQdgYhILHGn7IK5qSExMRGJiYmqYxARiSR2heStqWHr\n1q1Yvnw5QkND0a1bN6SnpwdE0arJZAIADiUiIjfEDSRnU0NGRoarqaGiogJ6vR5DhgxBhw4dkJ6e\njnXr1iE6OhpfffUVUlJSsHHjRlgsFiQlJan+I3iUlpYGgANJksJCPmeISApxAwnw3tTwxRdfYMCA\nAYiOjgYADB06FGVlZSgtLUXPnj0VJ/dOcq1RoPBng0NDsO2BqOnEXUMCajc1JCUlQa/XIz8/HxER\nERg0aBCOHDniusaUn5+Pixcv4uzZs4pT12/z5s3YvHmz6hiNFhPjaDRQeUgcRsBPbQ/+PvjfOBRM\nRK6QvDU1jB49GkajEenp6aiqqsKoUaMwYMAAaDQa1bGDnuD9Io3CdgciWUQOJG9NDQ8//DB69eqF\nDRs2AACqqqqwZs0a8afrACAqKgpAcFUIBTJnuwOvIRHJIPKUnbemhqqqKiQkJODkyZMAgNWrV2Pw\n4MHo0KGDysgUoNjuQCSHyBUS4L2pYdGiRZgxYwZsNhv69u0bMA++y8vLUx2BiEgssQPJW1PD2LFj\nXcMpkDgLYYmI6EbiTtkFc1ODwWCAwWBQHYOISCSxKyTnrjqnI0eOYN68efjtb3+LnTt34vXXX0dV\nVRWio6NhNBpx+fJlAEB1dXWt3yeJ2WwGgIA5xUhE5E/iBpKzqeF6a9euxfbt2zFt2jScP38eBoMB\nZrMZUVFRWLJkCV577TUsWLAAFosFI0eOVJS8fgkJCaojEBGJJW4g1fXDDz/g3XffRW5uLjQaDfbs\n2YPY2FjXFuqEhATo9Xqkp6cjRMVzqBuAKyPvWOND1LqJH0hLly7FtGnTcMcddwAATp06VatItVu3\nbrhy5QquXr0q/plIVqsVADc3XK++KiBW8hC1HqIH0smTJ7Fnzx5kZGS43rt27ZrblVCbNuL2Z9xA\np9MBaJ03xsbEAIcONfz3OSt53Ln77uBrjyBqzUR/i2/fvh2PPvporZVP9+7dcebMGdevT58+jfbt\n2+OWW25REZF8VFwM2O2ej4ICR30P4HgtKPD+ebudw4go2IgeSF9++SUerHMx4Re/+AUOHDjgWmWs\nX78eo0aNUpCu4UpKSlrl6sgXzhqfrCx2yhG1VqJP2f3www83bOG+7bbbkJmZiZSUFFRXV+POO+9E\ndna2ooTUnB58kIOIqDUTPZC2eLiaPWLECIwYMcLPaZpOq9UCQEA/goKIqKWIO2XX2KaGkydPQq/X\n17q+JE1xcbHoJgkiIpXErpC8NTUAjqfKpqamon///khOTlYVs0GMRqPqCEREYokbSPU1NQDA0aNH\n8corr+DgwYPo378/AMfuO+lNDYmJiaojEBGJJW4g1VW3qQEAPvzwQ0yZMsV1s2ygMJlMADiYgg0b\nJoiah/iBVLepAQDmz58PANi7d6+qWI2SlpYGgAMpENXXKFEfNk4Q1U/0QHLX1BDIYmJiVEeg6zS2\nPaIxvDVO1IeNFNRaiB5I7poaAhm3e8vSHF/yhYXA8OFATY2jYYI39RI1nuiB9OWXXyI+Pl51DCKP\nnA0TvIZE1HSiB5K7poZA5nxkBuuDggsbJoiah+iB5KmpwSkrK8tPSYiIqKWxqcGP8vLykJeXpzoG\nEZFIYldI3poaLBYLcnJyEBISgnbt2uHFF1/EoEGDAAAajQZlZWUiH4InMRMRkRTiBlJ9TQ3/+te/\nsGTJEnz00Ufo0qULdu3ahTlz5mDnzp2wWCxISkpSlLx+BoMBAB9lTkTkjrhTdnU5mxoeVAcIAAAa\nXUlEQVReffVVaDQahIWFISMjA126dAHguLfn3LlzqKqqUpy0fmazGWazWXUM8rPCQiA72/FKRJ6J\nWyHVVbepoWfPnujZsycAR8FqZmYmRo4cibCwMJUxfZKQkKA6AjWDprY21IetDtRaiR5I3poaKioq\nkJqailOnTmHlypUK0jUcT9Wp4c9GhubQlFYHd9j0QIFC9Ck7T00NJ06cwNSpUxEaGoq//OUviIiI\nUJSwYaxWK6xWq+oYrU5xMWC3qzkKChwNDoDjtaDA/xk4jChQiF4huWtquHLlCpKSkjBhwgQ8++yz\nipI1jk6nA8AbY1sTNjkQ+U70QHLX1PDhhx/ixIkT+PTTT/Hpp5+63l+9ejU6duzo74hE9WKTA5Fv\nRA8kd00Ns2bNwqxZsxSkaTqujIiIPBN3DamxTQ02mw16vR7FPGFORBSQxK6QvDU1rFu3DmazGSEh\nIYiMjERGRobrPqTq6mqxhaxarRYAH0NBROSOuIFUX1NDcXExVq1aBYvFgp/97GfIzs7GsmXLsHDh\nQlgsFowcOVJR8vpx9UZE5Jm4gVSXs6khNzcXGo0GMTEx2L59OzQaDf7v//4Pp0+fdt0oK53RaFQd\ngQJQYSF36VHrIH4g1W1qABwFqjt27MCLL76IsLAwpKSkKEzou8TERNURqJm0dFuDSmyKIFXEbWq4\nnrOp4cknn7zhZ6NHj8Y//vEPzJkzB8nJybh27ZqChA1jMplgMplUxxArJsbRUBAIR7AOI+CnpgiJ\nR0yM6n871JJEDyR3TQ0//PAD9u3b5/r1pEmTcOLECZSXl6uI2CBpaWlIS0tTHUMslY0KUg8JTQ+S\nDl6GDW6iB9KXX36JB+ucND979iyee+45nD9/HoDjoXf9+vULiJtiY2JiEMP/xKMGcDY9ZGU5XnkN\niYKZ6GtI7poahgwZgtmzZ+PJJ59EaGgounTpguXLlytK2DDc7k2NwaYHai1EDyR3TQ2AY3MANwgQ\nEQUXcafsGtvUcPLkSej1epw5c6aFkjVdVFQUoqKiVMcgIhJJ3EBySkpKgl6vdx0DBw7EBx98UOsz\nO3bswH333QcArifIajQalJWV+T0vERE1jbhTdvU1NTiVlJQgOzvb9evQ0FBYLBYkJSX5LWtD5eXl\nqY5ARCSW2BWSk7Op4dVXX4VGowEAVFZWYu7cuUhNTVWcrmFiY2MRGxurOkZAKiwEsrMdr0QUnMSt\nkOpy19Qwf/58/PrXv0Z0dLTCZA1nMBgAtK5HmUtuNGAjAZEsoldI7poaPvzwQ9x0002YPHmywmSN\nYzabYTab/fLPktJ6IHUYAbIaCXh7GpHwFZK7poa//e1vrp141dXVrr9esWIFunbtqjBt/RISEvz2\nzwqmO9oLC4Hhw4GaGkdbAW8QJQpOogfSl19+ifj4+Frv5ebmuv66tLQUOp3uhk0QUrWmU3XNydlW\nwMZrouAmeiC5a2oIZFarFQC4saER2FZAFPxEDyRPTQ1OPXv2RFFRkZ/SNJ1OpwPg2LJORES1idvU\n0NimBpvNBr1ez6eyEhEFKLErpKSkpFqn644cOYJ58+bht7/9LbKysvDxxx+jffv2AIDevXvj9ddf\nVxXVZ1wZERF5Jm4g+dLUUFRUhDfeeAP3339/rc9Jb2ogIiLPxA2kupxNDbm5udBoNKiqqsI///lP\nrFy5EsePH0dUVBQMBkOtG2el0mq1APgYCrpRYSF3ERKJH0h1mxpOnz6NBx98EP/5n/+Jfv36IScn\nB7///e/xt7/9DSEhIYrTesfrW8FBcvtEXWyjoEAieiA5mxoyMjJc70VGRuL99993/To5ORnvvPMO\nSktLERkZqSKmz4xGo+oIosTEAIcOqU4R3JxtFJLcfXdw3bhNzUf0QHLX1HD48GEcPnwYjz/+uOs9\nu93uKl6VjA8VrI1fSg5soiByELft+3pffvklHqzz/8w2bdpg8eLFOH78OADAZDIhOjoa3bp1UxGx\nQUwmE0wmk+oYJIyziSIri8OIWjfRKyR3TQ39+/fHSy+9hN/97new2Wzo1q0b3njjDUUJGyYtLQ0A\nV0p0IzZREAkfSJ6aGpxPkQ00Max0JiLySNwpu2Buati8eTO3fBMReSB2heStqeHbb79FRkYGLl++\njDZt2mDhwoUYOHCgwrRERNRU4gZSfU0NlZWVSE5OxuLFizFixAjs2LEDzz//PD7++GPxTQ1RUVEA\nWCFEROSOuIFUV92mhl27diEyMhIjRowAAIwaNQo9e/ZUnJJILrZAUKAQP5DqNjV8//33uP3225GW\nlobDhw8jIiICc+fOVZzSN3l5eaojUACQ3gTB9gdqKaIHkrumhpqaGuzatQt/+ctfcM8992DHjh2Y\nOXMmPvvsM4SFhSlMWz8+mC8wsEHCO0ntD2x9CC7idtldz11TQ5cuXdC3b1/cc889AIDRo0fDZrO5\nbpSVzGAwwGAwqI5B9SguBuz24DgKChztD4DjtaBAfabmPDiMgovogeSuqeHhhx9GaWmpa3v3V199\nhZCQkIC4jmQ2m2E2m1XHoFaELRAUSESfsnPX1HD77bdj+fLleOWVV1BZWYmwsDC8/fbbaNu2raKU\nvktISFAdgVohtkBQoBA9kDw1NQwdOhT//d//7ec0TZeZmak6AhGRWOJO2QVzU4PVaoXValUdg4hI\nJLErJE9NDR07dsQHH3zgev/y5cs4ffo0PvnkEwBAdXX1Daf5pNDpdAB4YywRkTviBlJ9TQ0ajcb1\nLKTq6mpMmzYNM2fORI8ePWCxWDBy5EgVsYmIqInEDaS66jY1XO/9999Hp06dMHXqVEXpGoYrI2oq\nti5QMBM/kOo2NTidP38eH3zwAT766CNFyYgaTnULA1sWSDJxmxqu52xqePLJJ2/42YYNGzBq1ChE\nRkYqSNY4Wq0WWq1WdQzyIibG0ULQUofqSiBny4K/Dj4CjBpC9ArJXVOD09atW/HSSy8pSNV4kncA\nkoPk/4kKC4Hhw4GaGkfrAm90pWAjeiB9+eWXiI+Pv+H98vJyHDt2DPfdd5+CVI1nNBpVR6AA5mxd\n4DUkClaiB5K7pgbn+7fffvsNmxykS0xMVB2BAhxbFyiYiR5Inpoa4uLi8Omnn/o5TdOZTCYAHExE\nRO6I29TQ2KaGkydPQq/X48yZMy2UrOnS0tKQlpamOgYRkUhiV0iemhp++9vf4tNPP8Vbb72FNm3a\noH379sjIyAiI03cx3HJERORRiN1ut6sO4VRaWgqdToeioqJa7zubGj744APYbDY8+OCDsFgs6NWr\nF1avXo0vvvgCK1asAACMHDkSy5Yt48PwiIgCjNgVklPdpoaqqirY7XZcvnwZAHD16tWAePQEycYG\nBCL1xA+kuk0Nt956K1555RVMnToVHTp0wLVr1wLmoXdRUVEAWCHU3FS3HzixBYGoacRtarieu6aG\nb7/9FsuXL8fWrVuxZ88ezJ49G3PmzIGgM4+tWks3HUhsP3DydwsCmxEo2IgeSO6aGvbs2YP7778f\nd955JwDgiSeewHfffYcLFy6oiumzvLw85OXlqY7RooqLAbs9sI6CAkfzAeB4LShQn6mxh+SmCaL6\niD5l566pYdCgQfjwww9x7tw5dO7cGTt27EDPnj3RqVMnRSl9x40WMrEBgUgG0QPJXVPDsGHDkJyc\njKSkJGg0GrRv3x7vvPOOooQNYzAYAPBR5hKxAYFIvYDY9t0Qkrd9c1MDEZFn4q4hBXNTQ0JCAhIS\nElTHICISSewpO29NDWvXrsW6detw8803o2/fvpg/f77CpL7jqToiIs/EDaSbb74ZFoul1nvOpoZp\n06ahsLAQ77//PjZs2IBu3brh73//O+bPn4+33noLFosFI0eOVJS8flarFQA3NxARuSNuINVVt6nh\n0KFDeOihh9CtWzcAwJgxY/DSSy+hqqoKYWFhitN6p9PpAATfNSS2HBBRcxB3Damuuk0N99xzDwoL\nC1FWVgYA+Oijj1BdXY2LFy+qjBmQxo9vnpsxhw0DUlMdr811g+f48ar/7RCRv4leITmbGjIyMlzv\nDRkyBM888wyeffZZhISEYNKkSejQoUNAtH2Hh5fg0CHHFy5552w9UOnuu3mjKZE/iR5I7poarly5\nggceeABTpkwBAJw+fRpvvfUWOnTooCqmz4Lxy62wEBg+HKipcbQc7N7N03ZE1DiiT9l9+eWXeLDO\nt9uZM2eQlJSEK1euAADeffddjB8/HiGq/3PaB1qtFlqtVnWMZuVsOcjK4jAioqYRvUJy19TQp08f\nzJw5E1OmTMG1a9cwePDggNn2XRyMSySw5YCImofogbTFQ5f/tGnTMG3aND+naTqj0ag6AhGRWOJO\n2QVzU0NiYiISExNVxyAiEklUl12wM5lMAMChRETkhqiBVFpaikcffRT9+/dHeno6li9fjrNnz8Ju\nt+Ppp5+GXq8HAOzcuROvv/46qqqqEB0dDaPRiMuXL2P27Nk4evQozGazyDYElqsSEXkm7pSdszpo\nw4YNiIuLw6ZNm7By5UosWLAAZ8+exfnz52EwGPD2229j+/btiIyMxGuvvYbu3bvDYrGgS5cuqv8I\nHsXExCCGj/QUr7AQyM52vBKR/4jd1GCz2XD58mXY7XZUVlbipptuQps2bbBnzx7Exsa6VhsJCQnQ\n6/VIT08Xv/V78+bNqiPQdcaPb/jjz8eNAzzstSGiJhI7kP70pz8hMTERH3/8MS5cuIAXXngBt912\nG06dOuXqsQOAbt264cqVK7h69WqtG2iJYmKAQ4ea9+/Z0AYJtj0Q+U7cKTun559/Hk8//TT27NmD\nLVu24P3338fBgwdx7do1tyuhNm3E/lFcoqKiXCs7annFxYDd3rCjoMDROAE4XgsKGv73uP7gMCLy\nncgV0vnz5/E///M/WL16NQDHF/nPf/5zfPXVV+jevTsOHDjg+uzp06fRvn173HLLLYrSUjBxNk+w\nvZzI/0QuKzp27Ihu3bph+/btABwD6quvvsI999yDX/ziFzhw4IBrp9r69esxatQohWl9l5eXh7y8\nPNUxqB4PPgi88AKHEZG/iVwhhYSE4N1338WiRYvwzjvvoE2bNpg1axaGDBkCwPHk1ZSUFFRXV+PO\nO+9Edna24sS+kbgVnYhICpEDCQAGDBiADz/80O3PRowYgREjRvg5UdMZDAYAfJQ5EZE74k7ZBXN1\nkNlshtlsVh2DiEgksSukyspKJCcnu21qAAC73Y7U1FT0798fycnJCpP6LiEhQXUEIiKxxA0kZ1ND\namoq4uLi8Ic//AGnT5/G2LFj8dBDD+H222/H0aNH8corr+DgwYPo378/ALiaGkaOHKn4T+AZT9UR\nNU1hIXdABjNxA8nJU1MDAHz44YeYMmUK7rjjDsUpG8ZqtQLg5gYKbo1pwJCALRzqiR1InpoaALge\nyLd3716VERtMp9MBYLkqNb+WaKVobRrawiFJsDSCiB1IzqaGxMRElJSUICkpCffeey/i4uJURyMS\nJxi+jOpTWAgMHw7U1DhaNHbv5mm7YCNyIHlragjkgcSVEVHjsUUj+Inb9g14b2ogotaLLRrBTeQK\nqb6mhkCl1WoB8DEURETuiBxIgPemBqesrCw/pWkexa3hRD8RUSOJO2UXzE0NRqMRRqNRdQwiIpHE\nrpC8NTVYLBbk5OQgJCQE7dq1w4svvohBgwYBADQaDcrKykTe65OYmKg6AhGRWOIGUn1NDZcvX8aS\nJUvw0UcfoUuXLti1axfmzJmDnTt3wmKxICkpSfUfwSOTyQSAg4mIyB1xA8nJU1NDWFgYMjIy0KVL\nFwBATEwMzp07h6qqKoSFhSlO7V1aWhoADiQKTKztoZYmdiB5a2ro2bMnAEfBamZmJkaOHCl+GAGO\n4UlUn0Ct3lGJtT/BQexAqq+poaKiAqmpqTh16hRWrlypOK1vuN3bO9bfUGMFcu2PP0mvGBK3yw74\nqanhV7/6FYDaTQ0AcOLECUydOhWhoaH4y1/+goiICJVxqZkUFwN2Ow+JR0GBo64HcLwWFKjPxKPh\nh+RhBAgdSN6aGq5cuYKkpCSMGTMGS5cuxc0336w4re+ioqIQFRWlOgZRgzlre7Ky2CFHLUfkKTtv\nTQ3/9V//hRMnTuDTTz/Fp59+6vo9q1evRseOHRWmJgpuDz7IQUQtS+RAAjw3NcyaNQuzZs1SkKjp\n8vLyVEcgIhJL3Cm7xjY12Gw26PV60fU8sbGxIm/YJSKSQOwKyVtTw7p162A2mxESEoLIyEhkZGSg\nqqoKAFBdXY0ePXqojO6RwWAAwEeZExG5I26F5Gxq2LBhA+Li4rBp0yasXLkSCxYswNmzZ1FcXIxV\nq1Zh/fr12Lx5M6KiorBs2TJ0794dFovFdcOsRGazGWazWXUMIiKRxK6QPDU1xMTEYPv27dBoNPi/\n//s/nD592nWjrHQJCQmqI5BibDsg8kzsQPLW1KDRaLBjxw68+OKLCAsLQ0pKiuK0vuGpuuDVEu0K\nbB+g1kbcKTsnZ1PDnj17sGXLFrz//vs4ePCg6+ejR4/GP/7xD8yZMwfJycm4du2awrS+sVqtsFqt\nqmPQv8XEOO7ub46jJap+nO0DzXmwvYokEzmQvDU1/PDDD9i3b5/rs5MmTcKJEydQXl6uKq7PdDod\ndDqd6hj0b/5uhpDQdiB4EyqRzIHkranh7NmzeO6553D+/HkAjnt7+vXrx5tiSTy2HRB5J/Iakrem\nBgCYPXs2nnzySYSGhqJLly5Yvny54sS+KSkpUR2BFGPbAZFnIgcS4LmpAXA8T4jPFCIiCi7iTtk1\ntqnh5MmT0Ov1OHPmTAslazqtVgutVqs6BhGRSOIGkpOzqeGXv/wldDodLBbLDZ/ZsWMH7rvvPgBw\n3RCr0WhQVlbm16y+Ki4uFl1tRESkkrhTds6mhtTUVMTFxeEPf/gDTp8+jbFjx+Khhx7C7bffDsBx\nPSY7O9v1+0JDQ2GxWJCUlKQqer2MRqPqCEREYoldIXlqagAcq6e5c+ciNTVVccqG4bUvAhxtDdnZ\njlci+om4FZKTt6aG+fPn49e//jWio6MVp2wYk8kEABxKQaglmhqux9YGag3EDiRnU0NiYiJKSkqQ\nlJSEe++9F1arFTfddBMmT56M0tJS1TEbJC0tDQAHkiQxMcChQ6pT1M/Z2tBYd9/Nm2JJPpEDydnU\nsHr1agC1mxq2bdvm2olXXV3t+usVK1aga9euaoPXI4a9LeL4+0u68P+3d/cgbfRxHMC/Gq2VBhTf\nyKDFLi0OanHSITjYVmmQFBGaVuKggigkCiI2RUNB1DjUpRCEOKsdKmI7VDB1anmWoiKoSwdf8AV1\nKVowJt4zSK598CX3GJv//8z3AyInl8uXDPfzLnff+wcwm4Fg8LStgTfIEv0m5UD6s6nBYrGoTQ21\ntbVobGxU19vY2LjwCjwZffr0SXQEEizc1sDGb6KzpBxIkZoaiPSMbQ1E55NyIAGXNzWE5ebmYm5u\nLkaJopefnw+AFUJEROeR7rLvqzY1hEIhWK1W3nhKRKRT0h4hhZsadnd3oSgKmpqaYLVaAQAejwef\nP39GWloaAODevXt4+/atyLiafPz4UXQEIiJpSTeQtDQ1zM3NYWhoCCUlJf95rexNDYWFhaIjEBFJ\nS7pTdmEXNTUEAgEsLS1hZGQE1dXVcDgc2NzcFB1XE5fLBZfLJTpG3GJDApHcpB1IHR0d+PLlC8xm\nMywWCxwOBzIzM7Gzs4PS0lK0t7djamoKxcXFaG1thaIooiNHNDY2hrGxMdExpGCxXP/juSP9lJUB\nr16d/o7l+1osoj9tIn2Q7pRd2EVNDUVFRfD5fOp6jY2N8Hq92NjYQF5ensDEkb148ULTenppDyBt\nom1ZiAU2OZAMpBxIlzU13Lp1CysrK3j27Jm6vqIoSE5OFpRWu4GBAU3rccdw/diQQCQ/KU/Z/dnU\nAEBtaiguLkZiYiL6+vqwvr4O4LSw9MGDBzCZTCIja7K4uIjFxUXRMeJSuCHB4+EwIpKVlEdIkZoa\nuru70dLSglAoBJPJhKGhIcGJtamurgbAG2NFYUMCkdykHEjA5U0NVqtVvSfp/woGg9je3o4mWtT0\n1lJORHSdTCYTkpLOjh/pBlK4qcHj8aCgoEDz60KhEGpqarC2tnbpetvb26ioqIg25pWkpKQAgLD3\nJyKSgd/vR25u7pm/Jyh6uF76GslwhEREFM8uOkKKu4FERERykvIqOyIiij8cSEREJAUOJCIikgIH\nEhERSYEDKUZOTk7gdrvx/Plz2O12rK6uio6kGwsLC1I/VkRGx8fH6OzsxMuXL1FbWwu/3y86ki6E\nQiG4XC7YbDbU1dVFvI2Eftvf30d5eTl+/Phx5W1wIMXIzMwMAoEA3r9/j46ODng8HtGRdMHn86G7\nuxtHR0eio+jK1NQU0tPTMTo6Cp/Ph97eXtGRdGF2dhYAMD4+DqfTqbl/Mt4dHx/D7Xbj9u3bUW2H\nAylGvn//DrPZDAB4+PAhH7Wu0d27d/Hu3TvRMXSnqqoKbW1t6rLBYBCYRj8ePXqkDu/NzU1kZWUJ\nTqQPg4ODsNlsyMnJiWo7HEgxcnBwAKPRqC4bDAYEg0GBifShsrLy3Bvo6HJ37tyB0WjEwcEBnE4n\n2tvbRUfSjaSkJHR1daG3txeVlZWi40hvYmICGRkZ6j/c0eBAihGj0YjDw0N1+eTkhDta+qu2trZQ\nX18Pq9WqFvuSNoODg5ienkZPTw9+/folOo7UPnz4gG/fvsFut2N5eRldXV3Y3d290ra4R4yRkpIS\nzM7O4unTp5ifn8f9+/dFR6IbbG9vDw0NDXC73SgrKxMdRzcmJyexs7OD5uZmpKamIiEhgac7I/iz\nBNtut+PNmzfIzs6+0rY4kGLk8ePH+Pr1K2w2GxRFQX9/v+hIdIMNDw/j58+f8Hq98Hq9AE4vEIn2\nS+eb7smTJ3C5XKirq0MwGMTr16/VUmT6+9hlR0REUuB3SEREJAUOJCIikgIHEhERSYEDiYiIpMCB\nREREUuBAIiIiKXAgERGRFDiQiIhICv8CFzv9gfW5uLsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x130cd35c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymc3 import forestplot\n",
    "\n",
    "plt.figure(figsize=(6,14))\n",
    "forestplot(unpooled_trace, varnames=['beta0']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "unpooled_estimates = pd.Series(unpooled_trace['beta0'].mean(axis=0), index=mn_counties)\n",
    "unpooled_se = pd.Series(unpooled_trace['beta0'].std(axis=0), index=mn_counties)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the ordered estimates to identify counties with high radon levels:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFaCAYAAAAzewU2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13c847b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "order = unpooled_estimates.sort_values().index\n",
    "\n",
    "plt.scatter(range(len(unpooled_estimates)), unpooled_estimates[order])\n",
    "for i, m, se in zip(range(len(unpooled_estimates)), unpooled_estimates[order], unpooled_se[order]):\n",
    "    plt.plot([i,i], [m-se, m+se], 'b-')\n",
    "plt.xlim(-1,86); plt.ylim(-1,4)\n",
    "plt.ylabel('Radon estimate');plt.xlabel('Ordered county');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are visual comparisons between the pooled and unpooled estimates for a subset of counties representing a range of sample sizes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAFyCAYAAADh+YyCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13ca50ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_counties = ('LAC QUI PARLE', 'AITKIN', 'KOOCHICHING', \n",
    "                    'DOUGLAS', 'CLAY', 'STEARNS', 'RAMSEY', 'ST LOUIS')\n",
    "\n",
    "fig, axes = plt.subplots(2, 4, figsize=(12, 6), sharey=True, sharex=True)\n",
    "axes = axes.ravel()\n",
    "m = unpooled_trace['beta1'].mean()\n",
    "for i,c in enumerate(sample_counties):\n",
    "    y = srrs_mn.log_radon[srrs_mn.county==c]\n",
    "    x = srrs_mn.floor[srrs_mn.county==c]\n",
    "    axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n",
    "    \n",
    "    # No pooling model\n",
    "    b = unpooled_estimates[c]\n",
    "    \n",
    "    # Plot both models and data\n",
    "    xvals = np.linspace(-0.2, 1.2)\n",
    "    axes[i].plot(xvals, m*xvals+b)\n",
    "    axes[i].plot(xvals, m0*xvals+b0, 'r--')\n",
    "    axes[i].set_xticks([0,1])\n",
    "    axes[i].set_xticklabels(['basement', 'floor'])\n",
    "    axes[i].set_ylim(-1, 3)\n",
    "    axes[i].set_title(c)\n",
    "    if not i%2:\n",
    "        axes[i].set_ylabel('log radon level')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Neither of these models are satisfactory:\n",
    "\n",
    "* if we are trying to identify high-radon counties, pooling is useless\n",
    "* we do not trust extreme unpooled estimates produced by models using few observations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multilevel and hierarchical models\n",
    "\n",
    "When we pool our data, we imply that they are sampled from the same model. This ignores any variation among sampling units (other than sampling variance):\n",
    "\n",
    "![pooled](http://f.cl.ly/items/0R1W063h1h0W2M2C0S3M/Screen%20Shot%202013-10-10%20at%208.22.21%20AM.png)\n",
    "\n",
    "When we analyze data unpooled, we imply that they are sampled independently from separate models. At the opposite extreme from the pooled case, this approach claims that differences between sampling units are to large to combine them:\n",
    "\n",
    "![unpooled](http://f.cl.ly/items/38020n2t2Y2b1p3t0B0e/Screen%20Shot%202013-10-10%20at%208.23.36%20AM.png)\n",
    "\n",
    "In a hierarchical model, parameters are viewed as a sample from a population distribution of parameters. Thus, we view them as being neither entirely different or exactly the same. This is ***parital pooling***.\n",
    "\n",
    "![hierarchical](http://f.cl.ly/items/1B3U223i002y3V2W3r0W/Screen%20Shot%202013-10-10%20at%208.25.05%20AM.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use PyMC to easily specify multilevel models, and fit them using Markov chain Monte Carlo."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Partial pooling model\n",
    "\n",
    "The simplest partial pooling model for the household radon dataset is one which simply estimates radon levels, without any predictors at any level. A partial pooling model represents a compromise between the pooled and unpooled extremes, approximately a weighted average (based on sample size) of the unpooled county estimates and the pooled estimates.\n",
    "\n",
    "$$\\hat{\\alpha} \\approx \\frac{(n_j/\\sigma_y^2)\\bar{y}_j + (1/\\sigma_{\\alpha}^2)\\bar{y}}{(n_j/\\sigma_y^2) + (1/\\sigma_{\\alpha}^2)}$$\n",
    "\n",
    "Estimates for counties with smaller sample sizes will shrink towards the state-wide average.\n",
    "\n",
    "Estimates for counties with larger sample sizes will be closer to the unpooled county estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as partial_pooling:\n",
    "    \n",
    "    # Priors\n",
    "    mu_a = Normal('mu_a', mu=0., sd=1e5)\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    \n",
    "    # Random intercepts\n",
    "    a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = HalfCauchy('sigma_y',5)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a[county]\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,121.4:  40%|███▉      | 19762/50000 [00:02<00:05, 5411.41it/s]\n",
      "Convergence archived at 20100\n",
      "Interrupted at 20,100 [40%]: Average Loss = 1,434.7\n",
      "100%|██████████| 2000/2000 [00:04<00:00, 442.70it/s]\n"
     ]
    }
   ],
   "source": [
    "with partial_pooling:\n",
    "    partial_pooling_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzkAAAFsCAYAAADvznd0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3X+UnHV9//3XNTM7+2tC2EAgiTFwE6vYBG8RI3BXiiRq\nrBgIhiViSvwK5eagp4i2oWKpRb58Cbjf3lY9gAInHL4ctRB7SpPSUxECgj1VCYqapViFEg0hkJgl\nYWazOztzXfcfV67d2dn5cc3M9Xufj3OW7O4ss5+dnZ3rel+f9w/DsixLAAAAAJAQqbAXAAAAAABe\nIsgBAAAAkCgEOQAAAAAShSAHAAAAQKIQ5AAAAABIFIIcAAAAAInSNMgpl8u6/vrr9bGPfUwbNmzQ\nb3/722m379ixQ+vWrdP69ev14IMP+rZQAAAAAHCjaZDz+OOPS5L+4R/+Qddcc402b948edvExIQ2\nb96sLVu26P7779cDDzyg/fv3+7daAAAAAGgi0+wL3v/+9+t973ufJGnv3r06/vjjJ2974YUXtGTJ\nEs2dO1eSdMYZZ2jnzp36kz/5k5r3NTY2pl27dmn+/PlKp9MeLB8A0Kpyuaz9+/dr+fLl6unpCXs5\nkcJxCgDC58VxqmmQI0mZTEZ/9Vd/pe9///v62te+Nvn5fD6vOXPmTH7c39+vfD5f93527dqlDRs2\ntLVQAIC3vvWtb+nd73532MuIFI5TABAdnRynXAU5knTbbbfpL//yL3XJJZfo4YcfVl9fn3K5nAqF\nwuTXFAqFaUFPtfnz508ueMGCBW0tGADQmX379mnDhg2Tr8mYwnEKAMLnxXGqaZDz0EMP6dVXX9VV\nV12l3t5eGYYxuYW/dOlS7d69W6+//rr6+vq0c+dOXXHFFXXvy/n/FixYoMWLF7e9aABA50jHmonj\nFABERyfHqaZBzgc/+EFdf/312rBhg0qlkr7whS/okUce0ejoqNavX6/Pf/7zuuKKK2RZltatW6cT\nTzyx7cUAAAAAQKeaBjl9fX366le/Wvf2lStXauXKlZ4uCgAAAADaxTBQAAAAAIlCkAMAAAAgUQhy\nAAAAACQKQQ4AAACARCHIAQAAAJAoBDkAAAAAEoUgBwAAAECiEOQAAAAASBSCHAAAAACJQpADAAAA\nIFEIcgAAAAAkCkEOAAAAgEQhyAEAAACQKAQ5AAAAABKFIAcAAABAohDkAAAAAEgUghwAAAAAiUKQ\nAwAAACBRCHI6sGmT/QYAAAAgOghyOrB1q/0GAAAAIDoIcgAAAAAkCkEOAAAAgEQhyAEAAACQKAQ5\nAAAAABKFIAcAAABAohDkAAAAAEgUghwAAAAAiUKQAwAAACBRCHIAAAAAJApBDgAAAIBEIcgBAAAA\nkCgEOQAAAAAShSAHAAAAQKIQ5AAAAABIFIIcAAAAAIlCkAMAAAAgUQhyOmBZ0vi4lM+HvRIAAAAA\nDoKcNuXz0t690r590ooVBDoAAABAVBDktGl4WCqV7Peff97+GAAAAED4CHLatGyZlMnY7596qv0x\nAAAAgPBlwl5AXOVy0qJFUrEoPf20/TEAAACA8LGT0wHDkLq7CXAAAACAKCHIAQAAAJAoBDkAAAAA\nEoUgBwAAAECiEOQAAAAASBSCHAAAAACJ0rCF9MTEhL7whS/o5ZdfVrFY1NVXX61Vq1ZN3n7vvffq\nu9/9rubNmydJ+tKXvqRTTjml6Td99lnp2GPpSgYAAADAew2DnG3btunYY4/V0NCQRkZGdNFFF00L\ncoaHh3Xbbbdp+fLlLX3Tiy6S3vIW5ssAAAAA8F7DIOdDH/qQVq9ePflxOp2edvvw8LDuuusu7d+/\nX+973/t01VVXuf7Gzz8vDQ9LZ57Z4ooxw6ZN9r9DQ+GuAwAAAIiChjU5/f39yuVyyufzuuaaa3Tt\ntddOu/3888/XjTfeqPvuu0/PPPOMHn/8cdff+NRTpWXL2ls0ptu61X7z2qZNUwEUAAAAEBdNGw+8\n8sor2rhxoy688EKtWbNm8vOWZekTn/iE5s2bp2w2q3PPPVfPPfecq2/6T/9Eqloc+BU8AQAAAH5q\nGOQcOHBAl19+uTZt2qSLL7542m35fF4f+chHVCgUZFmWfvzjH7uuzXnnOwlwAAAAAPijYU3ON77x\nDR0+fFh33HGH7rjjDknS4OCgjhw5ovXr1+uzn/2sNm7cqGw2q7PPPlvnnntuIItGMEZGwl4BAAAA\n0LqGQc4NN9ygG264oe7ta9eu1dq1az1fFKKhUAh7BQAAAEDrGAYKAAAAIFEa7uSgscHBsFcAAAAA\noBpBTgeYSwMAAABED+lqAAAAABKFIAcAAABAohDkAAAAAEgUghwAAAAAiUKQAwAAACBRCHIAAAAA\nJApBDgAAAIBEIcgBAAAAkCgEOfDdpk32GwAAABCETNgLQPR4HZBs3Wr/OzTk7f0CAAAAtRDkYAYn\nKAEAAADiiHQ1AAAAAIlCkAMAAAAgUQhyAAAAACQKQQ4AAACARCHIAQAAAJAoBDkAAAAAEoUW0glg\nWVKxKOXzUi7X+f2NjHR+HxIDQAEAABAOgpyYy+elvXulUklasUJ6+unOA51CwZu1MW8HAAAAYSBd\nLeaGh+0AR5Kef97+GAAAAJjNCHJibtkyKXN0P+7UU+2P4Y1Nm0i5AwAAiCOCnJjL5aRFi6QFC7xJ\nVcOUrVtJuQMAAIgjgpwEMAypu9u/AIcdDQAAAMQJQQ6aYkcDAAAAcUKQg4Ysy34DAAAA4oIgB3WV\ny5Jp2i2qCXQAAAAQFwQ5qKkyqCmV7GGjAAAAQBwQ5KAmw5h6P5ORstnw1gIAAAC0giAHAAAAQKIQ\n5Lg029ook64GAACAuCLIcWm2tVGuTFczDNLVAAAAEB8EOagrnbb/TaWmBz0AAABAlBHkJMTIyOxK\npwMAAADqIchJiEJhdqXTAQAAAPUQ5AAAAABIlEzYC4i62ZoCZlnU4QAAACCeCHKamG0pYPm8VC6H\nvQoAAACgfaSrYZrh4bBXAElascJ+AwAAQOvYycE0y5aFvQJI0s9+FvYKAAAA4oudHEyTy9nzcVKp\nqTk5UbdpUzJrp0wzmT8XAACA3whyUJOXTQcsSxoft+t9/LB1azJrpywrmT8XAACA3why4CvLkvbu\nlfbts2tM/Ap0AAAAAAdBDnxVLEqlkv3+88/T2AAAAAD+a9h4YGJiQl/4whf08ssvq1gs6uqrr9aq\nVasmb9+xY4duv/12ZTIZrVu3TpdcconvC0a8ZLNSJmMHOqeeSmMDAAAA+K9hkLNt2zYde+yxGhoa\n0sjIiC666KLJIGdiYkKbN2/Wd7/7XfX29urSSy/Veeedp/nz5weycMSDYUiLFtk7Ok8/bTc2CItT\nxD80FN4aAAAA4L+G6Wof+tCH9JnPfGby43RFu60XXnhBS5Ys0dy5c5XNZnXGGWdo586d/q0UsWUY\nUne3+wDHr25pSW1QAAAAgOkaBjn9/f3K5XLK5/O65pprdO21107els/nNWfOnGlfm6eqHB4gGAEA\nAEAnmjYeeOWVV7Rx40ZdeOGFWrNmzeTnc7mcCoXC5MeFQmFa0IPgDA5K/f1hrwIAAACIhoZBzoED\nB3T55Zdr06ZNuvjii6fdtnTpUu3evVuvv/66isWidu7cqdNPP93XxaK2oSFpYCDsVSRPO/N9kjqY\nFAAAIE4aNh74xje+ocOHD+uOO+7QHXfcIUkaHBzUkSNHtH79en3+85/XFVdcIcuytG7dOp144omB\nLBrwWz5vz/cplez5Pm6bJjhpdjQ3AAAACE/DIOeGG27QDTfcUPf2lStXauXKlZ4vCq2zLLuDWT7v\nTwezkRF7h2K2nLwPD8+c73PmmeGuCQBaRVdJALMVw0ATwNl12LfP3nXwo/9DoTC7mgEsW2bP95GY\n7wMgvmjkAmC2IshJgFq7DuhMLmfP91mwINz5PpYVzvcFAC9RrwggaAQ5CcCugz9ane/jlXxeKpft\n9/fu9WdnDgCC5NeO0ooV9hsAVGtYk4N4cHYdisVwdx3gjcqduFKJeiAAqOdnPwt7BbMX9V6IOnZy\nYqbeln9Yuw5x0k5L6DBU7sRlMuzMAYDf4ppOF+a6qfdC1BHkxEyQLyr9/XbwlARBNGfwSi4npdP2\n+4sWEbgCQDWvT+7jesIe13UDQSBdDXUNDNhd1ZIgri2hkxJkAoCXOLEH0Aw7OZgVotycoVHhbBzS\n6wAAAKKGnZyYi3IOsTOgNJsNf0ciys0ZGhXOOul1UVszAACzbVA44oWdnJjzKx/Xsjqb0VJZA/O7\n30kHD3q3tnbFqTlD5WPP7CMAmB3i1gBhtg0KR7wQ5GAaZ0aLadpBSrsqa2AsKzm1PUGp3PmKWnod\nAMAfNBIAvEOQg2mqZ7S0u5tTWQMjhZ+uFlcLFpCqBgAA0CpqcmLGqXP5zGfsWhevVe4YGEb7wUll\nDcz+/d6sbTaKS3odkDSbN0t9fdQaAPWMjNhZH0BUEeQ0EaXieafOpVSS7rjDDiK8XpMzo6VcllId\n7vM5NTBoXyd1UQDa9/DD9r8EOUgap+an0+d2ocAxCtFGuloDlcXze/eG/8dcWedSKtnBlx+cIaD9\n/XbAw5Ua9yyr87bPTl2UZD/vaCENIAmcTlxe3dfIiDf3NdtQ94PZgiCngaCCCrcq61wyGX/S1SR7\nCKijXA4/uIuLyqB4xYr2g5Pquig6qwFIAi87cRUK3jS0iVs3MwDuka7WgBNUlEr+BhVuOXUuBw7Y\nOyx+ps/REa11lUGx0/b5zDNbv5/KuqhMhs5qAOAXdjSA5CLIaaCyeD4KNTmSvYbxcfv9efPCXUuS\nbdpkp0JU7mpV3ibNzGeuDIo7aftcWRe1aBGNBwAg7ryqgwHgHulqTTjF81EIcGYTL3O3HYOD9psb\nW7fW38mql8/sBMWttn0ul6dqcBxOXRTPOwCIP+pggOAR5MAVywq2NsePKcpDQ/5fRXOC4k53XwYG\nOu9uBwCAfyxJlixRuIto4jSqBX7sLnillV2KdphmdDt9edHRDADgjTCK+WkgEJxy2dTdD/1SpmkH\nNwcPjenuh36pcplWrIgWgpwW+LG74AWnjaYfuxSVuzdR7PTlVUczAIirqJ3gh5GaRTpYcLZsH9a2\np16c/LhsWtr21Ivasj1iJwiY9QhyEsDP4KuyJiSKnb5qdTTrRNROFgCgGU7wZ6dNm6SDI5bKpqmx\nYimQ7zlWLOlHu16peduPdr0S2DoANwhy4EoqFc1OX5WzgzrpaObgZAEA4inKKeVeK5dN3XtfUfk3\nLP3+0Jg+/eUdgaSMjRwe1/7Xj9S87cDrRzRyeNzX7w+0giAnZgYH7c5bQeuk01d/v39rbrejGQAg\nGUzTDnCimlLuhy3bhzU6PrVr8trIkUBSxgaO6db8Y3tr3tadTeuY/i5fvz/QCoKcmBkaqj27JcoG\nBvxds1cdzQAA8TPbhleHmTLWk83orOULa952ZLysb3/vV759b6BVBDloyJnfUi4H20IaAIDmrIq3\n9o2MTDXxibowUsZWrLDfJGnD6rept7v2LHnqchAltZ+lgGYGNcViOOsAAGA66+j8NkuSIdO0KlKq\nW8+tLhTsA95YsayebLRPjRqljB1/bK8Gjun2/Hs+88zU+wffGNeR8dqBjBNkLTw+2o8hZgd2clBX\ndQ1ONhvOOsJgWXYK3IUXhr0SAGifpWC7bzVah5eDIy3LrsWxLKPic5beGJ1oeWX50aJM05JpWoEV\n8NdfTfPfV6OUsbOWL1RPNuN5p9DKgeDbK9pHV/MryALaQZCDhtLpqX/bbTwQN5Zlz94ZHZUeeSS8\n2Tv9/f4OeAWQXM7AxoOHxgLtvlVp0ybpL/7CmlyHaVqeDI4cK5aO7uDUvq2VgC4/OhFKAX+1Vn9f\nl69Zpr6KlLETBnp1wTmn6PI1dotRvzqFjhVL2vmfr9a9/d1vPzHyO2GYPQhy4Nr4eHyHbbZyVatY\n9Hb2TrsGBvwZ8Aog+ZyBjeWjU+nDOHnfulW67/6JaevwYnDkvt/X7zJgWY1vrzRWLGl8olzzNje1\nJV7ulrT6+0qnU8r1ZZVKGTpubo9uv26lrlx7mtLp5qd1nezuNaoHkqQ155zS8n0CfiHIgSvlsrRv\nn114GMdAp5WrWtmst7N3ACBIURnYaMnS+ERZz/3gDzUxNr21cLvrKJdN/eNjv27yVe7SDkYOj08G\nFdXcFPB7tVvS2e/LUDqVcrV74sXuXqN6oBMGenV8nduAMBDkoCWNdja8zgEOi2EweweY7Q4fDnsF\n7YvKwEbTtFQ2Lb3y6zepPJH2ZB1btg/riZ+9XPd2w5AWHNfn6r4GjulWOlU7IAqytiSo35cXu3tu\n6oGAqCDIQUsa7WzUu6plWfFLdWP2DjC7jY6GvYL2hdF9q5ZUyvA0iGi04+HoyWZcn2j3ZDPq7krX\nvC3IE/Ygfl9e7u5dvmaZLqhIS0unjGn1QEBUEOTAlXS6vZ0Np4g/zqlurRgcbL9ZQNIfGwD+cnbT\nm11t/5u/zgSy627I8DSIaFYPYhiG5vR11b29llxfV8MC/iAEsTvi5W5ROp3SlWtPU+poADtvbo/r\neiAgSOwrwrV2djZqFfGfeab3a4uKVhsFVAY2p58u/exn7B4BaI+zkz40pMmT9Ce2GCqblk4Y6NVZ\nyxfq8jXLtPTaqa/zW+5o0DH2hv1xJ1f9nR2P10Zqn6zbHUBbbQNqKNeX1espO4Xr9utWhpJy1ej3\n5YVGj137u0VGxX+B6CHshq+SWMTvZfrdk09Ovf+b30z/GADa5Vxtnze3p+XuW14YGbHfnCAilTKU\nShkdXfVvtONhGIbcnG7Xrx21//+wakr8/n1RS4PZiCAHvkpaEX8+72363UsvNf4YADphNOi+5Wez\nmELBfqtcib2azq77V9eDTN67y7utrh112inLoyGlnWr0++qU89g5dVJhpOYBQSLIge+SVMQ/POzt\nDJ2PfnTq/Wx2+scA4Ce/Bkb6qboexOZuF6dSdTtl07RkWVagw1KDFvbuHhA0ntkxNpUOgKAsW+Zt\n+t2CBVPv7949/WMAgD+q2ylLkmVZvg1L7WQAp9f83C0CooQgJ8ZmpgN4y0zuBa225XL+pd8R4ABI\nts5P9J0dGHPaEE9LraSbWbICG5baygDOTZtau3BpHf25rYik2gFRQ5ATQyMjwQQgVsivm1GdrZOk\n9DsA8J+dCmaaVtMT/WacHZgZ36GF45VpWoENS21lAOfWre4uXFYGTqZp6eChsbYfT/fsgCoKO1GA\nWwQ5MVQohB+A+MmypHI53Nk6ncy7AZAE0Ukvirv86ISsioNWoxP9RhoNtDRNVe3u1JdKGYEMS/Vy\nAGel6sCpbFptPZ5uOAGV41O3PTYZUPX3u2/4AISBICfGggh0wkhZKxan3veiuL8dQ0PBzJBIGj+7\nNQFBMk11vOsQlij9HVqyND5RlmUZsqzpZ8Stnug3GwZqWXKVumXICKSdspcDOB1+BU713LNt17Sd\ns/2vj2nbUy/qnm27NDAgpTiLRITx9Iwx07R3PLxWGTyFsWOUzU69n5TZOq2K605SHLs1AY20u+sQ\npij9HZqmNa24v1KrJ/rOQMtG3KZuVbdTdoIwL9spN1pvuztGbgMnLxodjBVLevQnu2ve9uhPdlML\nhMgjyImh6sDD60CkciclDIYhpdPui/uT2GWOnSQgWvy4Sp5U1mQjAEuHDhkqjWdrfl2rJ/qNBlo6\n3KZuVbdTthmetlP2YwBns8DpmP4u140Omtn3+1GNFWv/f2NFU+VyPIOcKO10wl+u/pp//vOf67LL\nLpvx+XvvvVfnn3++LrvsMl122WV68cWZxYBxF8Ur6rVyYL0MdLK1j0eBc1vc73eXOQDwuiA9iaoL\n4k3TUiEvlSfSk18zMdY1+X47J/r1hoFWcxuUOu2UW52z45bXAzibBU7f/t6vXDc6aKY40ezxs9Tf\nH71zpGaitNMJfzV9dbn77ru1bds29fbOvHIwPDys2267TcuXL/dlcVHgXE2P4h9EKuUUW0p79kif\n+Yz01a92fr8UEoYjn6djGxBVXhakJ9VUQfzSyc+ZpqbFD+WJtE4Y6NVZyxe2daLv7MBcnbIapms7\nQenC490GUXZQMFYsezo/xlnvzdfaQd/t163s+P6dx+2JLYbSXWUtPe01XXDOKdqw+m368797oub/\n86Ndr+iyD7+9pe+d7Uo3+QpDAwNkHSC6mu7kLFmyRF//+tdr3jY8PKy77rpLl156qb75zW96vji4\nZ5rSgw+GvQq0qrJzXFid5AA052VBehI1KoivLN1IpQzdft1KXbn2tA5TwxpfjevOZjS3v6vh1ziL\ny49O5Wi7Te9qdaaNlwM4K1PtFpyY1tM7FuvKtafpUGHC00YHC47rV2937UCntzsTyUwXoFLTV5jV\nq1crk6n9R3n++efrxhtv1H333adnnnlGjz/+uOcLRH3VOy5+ppkxGNQflZ3jwuokB6C+TtOLZotm\nnc9shiQjkGDxyHhJ3/rer5p+XX50QqPjU2lZbtO73M608YNTU1IdOHnd6KAnm9GqFUtq3rZqxZv1\nlf8vxS4OIq3tyyiWZekTn/iE5s2bp2w2q3PPPVfPPfecl2uDC+m0nbaWTvubZpbkuTxhquwcN1s7\nyQFRlEpJx83t8WjXwV9OJ60wu1256XzmreY/a7O6nLFiSeMTtXPevG404WWDnHo1JX40OvizC5ZP\nq4Gaf6wd9P/ZBcktU0BytP2qnc/n9ZGPfESFQkGWZenHP/5xomtzoowamviqrMFx00kOQFC8Sy/y\nS2Wh/+8PjengobGjqVfBBzvNO58Fc6CaGOvScz/4Q0nNU7RGDo932N7afZvmoBrkeN3oYKapx4su\nZYi6ll+9t2/frtHRUa1fv16f/exntXHjRmWzWZ199tk699xz/VgjYi5p7Z39UhngOAcOUgEA1FNd\n6F82rcnUq1xf8G0yKwviw1KeSOuVX79Jf3juc01TtAaO6VY6NVEz0Gn0/5bLpvKjJZlm5mib5h9O\nNlIIe8fP60YHznNMsi9iO8NAJWnr1tMkcZxCdLl65i9evFgPHq1qX7NmzeTn165dq7Vr1/qzMtSU\nz08NAC2X7TS1qHIKEr/yFX+/TxLrhZxUBA4eAGppVOg/PlFWvywFtXviqDzBPvKG/bly2a81GGq2\nY9UsRasnm1F3lzmtJsfN/7tl+7BGx5fKOYVy6ngk6cq1p7lbvs/seh1DPdn2g65Gz7Ef7XpFlpbL\nCPg5BrQiuvvwqKm6MN2yopuu5pyg+x3kUC8EYLYZOTyuH/zz/zXj9W9irEsTksw5wQc5Dr9PfMtl\nU5ZV/3ukU4brFK2J8S5ZFXN8mrW3dk78J8ZOnbGGdto0h8FtR7RGzSQOvH5EpmlNpsUBURTtv0TM\nUF2YHqUAx7KkYpF5LwDgt4FjuvXqbxbPSLVyBm+mInHyWesKVOfr2rJ9WJa1rOZ9pVKG5s3tcb2j\nUigYktJy1tosvcs58a8ccOpofTbPTEEM13SbIeA0k3htZGagc/yxvRF5jgH1RbddDGrK5aZS1PxK\nVWvnBTafl/bulfbtC37ei2FEK9gDAL/ZqVa1DwKGYYScRmTJsuyakBm3WFbTGTSNNJzHc1R7P7u7\n9tZet2mecf8RGq7ZrFtbXFPVrBYaRsw2SWsmQZCDGdp5gR0elkpHXy86nfcyMtJanU0qZb8hfJYl\njY8z1LSWpB08EL5cX5f6ujOTKUPplGEHOCGfe+ZHJ2TVySO2LKvpDJpG3M3j8Y8fbZorjYw0f53w\nsh11M063Nkec50ZVdyN0O/g1KoI4htRrTx5XnBrCE8uWSc7M2E7nvRQK0a6zme1Tnuu90Ia5mxcH\nSTt4IAoM5fqymje3R8fN7dG8uT0yDHtHIiyFI0UdaXKFvJMZNJ3O46l3Fb+VjIDL1yw7+jjbvDzx\nLxSav04E1Y5ammom4YjD3ChH9bFqqhuhfYLhdvBrVHAMaV0oz9Jnn+UEKMra+d3kctKiRdKCBcmf\n9zI0FJ10gjDUe6H1cjcvaOyyIM6MozN9opA+dNdDu5pepHI3g6a2WjsphlH5DWs/BvWu4ju1OK1k\nBKTTqckgJy4DYzvnLp0vSiqPVc06xZG6lkyh/EVedBFXeqOs3ZNTw5C6u6MZ4JBG5T8vd/OCxhUy\nzGTJCmGoZpyNFUv65QsHJEmWZdTtgNZp7conPvz2ljer6l3F7yxrwNuBsfbzjeedH5p1ims36Ea0\nhXbZIW5XemcTr05Onavj/f32W1hIowrGbNrNQ/KZpnTw0Fiscvadk+Rm82P8MnJ4XAdc1Mt0Wrty\n37/+Z0s/YqOr+Kapmg0SvGZ/n9q3Ve4ymaYVu+ddHPjdMALRFFqQE7crvbOJVyenztXxgQH7LSxx\nTqOKmyjv5gGtKptWTHL2LeVHi5MnyaZpf1zvJNmpS/F6x8BNvYxhGB3VrjgBS7qrXOcrZv5MzZoV\nBFEDaln1v0/1LlN8nnfx4XfDCERTKEHOP/1TMq/0ktcfTXFOowIQvqjn7OdHJzQ6Xpo2M2d0vDTj\nJLm6LuXgobGGwVCrGp1IOgzD6Kh2xQlYunomJj/XaDCo1HmzAj9RKxIcp1Oc040wzp3i/JK09tqG\nVa/Pow/27NmjVatWaXx8eu7jpZdeqs2bN0uSTj755Bn/XxRu/853NmvPHknao8WL31vz/z/5ZPtn\nrHe7V+vbvfs3soeX2VeyDMNQKpXW4sWS5M3Pv3v3f1d9laGTTmp8/9U//549P5Qk9ff3a2BgQC+9\n1NrPl06/rMWL39t0/b/97QtKpdIqlerf/7e/vVnFotTV9YdKpUbrfv9MZo8kTfsd+v38sh9rQ5Y1\ndbvz2Ln5+YO+vXJt1beH8fh59fdt8+/7B/X64Pb27u5uPfbYY1psv3DgKOc49eKLj6hcNtQz592S\npCv+x0Z9/av/W1J0nsfO36JpWkp3daurJ6exN3pkWaYMY6/6575HhvklGZI+9amXdMqZH9e2p17U\nw185fdp9Dxx/lv7fKz7hyfrKZVPZ7MsyzenPK8MwZVlppdPS4sXt3/9YsaT5Jy5W4dBPZFlvnvF1\n9vy4l2da8cWlAAAgAElEQVT8nb39jPcrc/IaPXbPBzT2xoHJ3+uRw69Orq/ZcaST41St13nJ3rX5\n/aEjWvS2P9beX/0fjb3RI2nP5PqOm9urdMqYdv+GUTr6s+6TVPs40eh1ejYcpxqtzz5OWXrT4nMm\nS7uiuP7q2/08Tq1f/zG95ewN+twn36LCof3qn/sedXellevrCuzn8+M4leRWIJ6a2moOv3tNGAwj\n3m2TjaNpVNUBDgA0k06l1NPt0/TljtWvwSmbpubOvUUDA5tVKpt1dwyOjJf001+95smOTmXnMT/8\nzV9nVBr/27q3m6ZVc0bPO95y/LSr+OlUSn3dXb6t061Uym5eUEs6lVIqFfVzjri2SYhCL8Lo+MVv\nDlSlTJoaHZ9QfnSiyf8ZbaHs5MTt6mE+b9eUlEp22tPISO1UOyf4fOmlqbQ1P1oNZzJSuexcsZqy\neLH9vb1QfYxKp6fqWuqp/PkrP3a4XZvz8510krv/x0lFa7S+6rV1+nVeco5vlUWpYazDrUZri/K6\nGwli3SedJBWL0q9/HX6qblxfi4PgPDb//d+PKtN7nFb92fd1wTmnTJsVEhUnn2yfYh48NDZ5cmLv\nBEg9c8Z06aYf6vbrVqonm9ErBwq66tZHZVnSY/d8YNr9rPqz70uSZz/nySdLu3dP/1w6PXXcanYs\naXbfkqWDh8f0xkjPjNsNw1LPnDF99b4Xav4sJ51s1yz9+jemerKZydffVMp+/PKjZVf1Ga0ep5xj\naq0zrrsf+qW2PfXi0V2mHvXMGWv4vHOOeZ/9rP1vrfMMr1/TKo9T5bKpLduH9blPvkVl09Klm36o\ns5Yv1OVrlkWqjXa9x4Dj1HRjxZI+/eUdem3kyORrg/OacMJA7+RrSNC8OE5F59kYYZWF66WSu8J1\nWtJ2Ju47R61oZT4D4okOf/GUThmRz9k3ZKi7q/YuU2VBtZu6FH9rQLzr/JYfnVCp3Ph+6v0szkwh\n53FJpSwZhjXZsMGZn+N1ZzOjwbDR6lqR5s87+3H8n/+rFNjMtsrjVNyHasaVX/UySW6vzamVC5WF\n65lM/cJ1ZrF4J5Wa3QM3kSx0+IufVEqaN7cnFkMec31d6uvOTJ4kS1JPNq2Pr35bxcfNmwL4c0Jj\nn5A7bZpN0+ooiLBkaXyiXme1KW5/FjsVfSpgcn/C3tpMm0YXs9LplK5ce5rmze1RKmXUfd45jSPc\nBGTz59tvXqNRQvDqDbL1KhBPcnvtaL9yR4Qz/yOVsv+tlWpSfaU2uCRAAFFHh784MmKUtW8o15fV\nvGN6JuthxoplXfN3T0w7Gbp8zTJ9+P85ue69BHVC08lVf9O0pnWRq8fNzzJWLNWs35Hqn7BXBhqS\nt7OU7Odb/eeds4PiaBSQ7d9vv3ktyVf9o8rvnbMkt9cmyHHJ2Wqut91cfaW2WAxubUEIc5jnbMSu\nYLD8frwZlIogFI5MNNyVSKdTunrd/63e7tonLd6f0NQPRtq96m8X6jcPPt38LI1OyOudsFcHGu5n\n2tg7P+3udERlByVOV/2T0A45qN97UttrE+R4pPpKbTYb7nq81tfHCXdQqN8IVlCPt9PhjwAHfmiU\nxlV9MjSnKr0tjBOa10aO6ECDAZ31ODVIC//g5bpf09edcfWzNDohr3XC3s4JZyspZo34sYNSPdvP\nzay/OFz19zu9yxHEbMSgds4qUyaPm9uj269bGYtU3WbivfoIqb5S62MHzVBwwh0c6jeCxeONJGiU\nxjXzZOhoepuvJzS115LumgrEtlfsiLQi19el6/669olfKmX/bG5+lp5spm6761on7O2ccLaSYtaI\nHzso1Q2S3DZMivpV/6AaIwTRYCronbPqxhxxR5DjoaRcqa0XyMyGE8AopIlRvxEsHm8kQaM0rnon\nQ0Gf0BiGpa6eqbkbO//z1TbTbQxdddE7aty/XdPS2po0LdBpdMLe6gmnl6lGYe+g9PdPpa1H+ap/\nVNL6vBL27z3ueHQwQ71AZt486dvfls48s7X7syy7Rimfj3YA6KQtlUr2rlVYtRPOrmCxGM36jUa/\nzzi2/Y764w244aRxFWrcFvTJkNuOY87ux8Lj213b9ICmvVb8xrR620YzQZwTzm01dqDOWr5Qf/PX\n9v/ndAZ1s/PTys/uBF4Pf8X++ISB3sn5NH4bGJj5OTtINtSTDT+4cbh5zAcH43Xq6/x+n9hiqGxa\ngf7e4y46z0xERvWV7HTaTsPL5aR//ufW7suyolNfMjLSOH82SmlLUd0VbFa/MjQUz9bfUX28gVbk\n+rpc70r4qdxkho3Dn0L1VovN7YYAff1Sf7/RNBh0UrUcpfHs5GNcnb7kdaqRs4OSShlKpYxI7aBE\nhZvHPG7HqSjvnEUdj5CHBgfjeSW7WuWJXvrojLnu7vbqjIrF6AQOhULj/FnSlpoLKhAMoqATSB5D\nhmGfAMfhZKjzHaapAaOGYcmy7OJ+N8Xm1Q0BrNSYurqLTYvTKwMNSTJL6bqPcXupRm6CNDstj1Sl\nmZKc3pW0epkgRPOVL6aCvDpgGHYAYnrbLMRz2Wx7gYNlBb/rk8tJvb12JznSlmoLKhAMoqATSK5w\nT4bS6cZXxOYf29PhDpM9UHSao0GOo1mxea1W0KPjpabF6dVzcpoNN63e+am3u1Yum8qPFl0GaZ21\no066qDdGiLKkXKx3EA76xO86lFRKKpejP3TUMFqrd8jn7Z9LCqcuZnTU/pcApzbqV9qXpAMH0Mgl\ng4b+999ZNRus9WTTuuOvVnUUgOVHJ44GKMunPmlN79zm+NGuV3TZh98+7ftZshoWp1d/faWp4Mg+\nYU53lSuCpdNmfL2z83N1yn4w6tX8bNk+rNHxpXJOy5wgTZKuXGvfb7lsasv2YZmm/b0//eUdk7UZ\nUd2tC4PzmN98rb1L16jOCtPFKY3PDf4qfMCck+laqXeoTH8KO70tKJVda+KA+pX2xC0PHNHnDDuc\nXuhvHb0lvCtgQ0NSrXNuwzB0TH+2oxPORvOAunompnVvk2q3djZNq63ZI7U6dznf70e7XmnymNdP\nMXPbEcyrdtTtiONgTdK7QJDjgygVsMdNZfpT1NPbvDIwULtzDYDw9PVFd/etetjhwUNjemO0qDeO\npjuZpqWDh8Z8GYDo3vR2zqmU0VaL52qN5gHVUqvAP5Uy2moI0Kxzl9nCulq535HD46G1Rg5qsCbg\nB4KcFjXr0CXN3gJ2L3I5czm71iiVai29zTTZNQPgnWOOie7OW/Www7Jp6ch4SUfGp050y6YV2FX+\nxgxVBzydaDQPqJZaxeaGjLaK05t17ko1XFf9Oho3HcHaGUTqhaAGa8ZRHHe3ZhuCnBY169AlTdUt\nLFgwu+oWvEzHMQzS2wCgWqMr+rXEcQBiI848oFoyacN1sXl1Q4B0ylBfd6ZhcXqzzl1GjUCuuotb\nrZ0QNx3BvG5H7Uaz3aMwUyLDxO5WfBDk+IS6hWC0m94GAHHU6Ip+LX5e5Q9Lrq9rWoAi2fU+847p\ncT1LpHrmzLy5Pcr1ZZsW8NcKjhoFU27raC5fs0x93VM7SNVBWhitkf1Kz4u7sHa3ktb5LAgEOQlh\nWdHrtDYyYr/5qdX0trAw9yXaOHggLhpd0a/Fr6v8zVkVb14zJjuOTX7maL1P68XmU/+fG9VzcubN\n7akbTLVSR5NOp5TryzacceS2HbVXOkvPS6awaqMkmte0gyAnAZyalL17va9J6WQOT6Fgv7X7fVsJ\nCtymt3mhnYCFuS/RxsEDcdHoin4tQQ9AdFJ5UpnKkz3/gp3O633a7UbXPDhqr46mfpBWvfvk97DX\ndtLzki6s2ii0hyAnQUol72tSwtodsqzoBgUELADCVD3scOlpr+m95xXUW5Hu1CyNyi9OKk+me0KG\nMXUA8fdY0nqgUl0rc/DQmPKjRU/rKlqtoxkcdDtOoH47aq8xWHO6MGqj0D6CnJgzDPtNsju6UZMS\nPlLTOmdZ0vg43fKAWpwr+k79ydM7FuuRh+ZrztF0J6fGxM+r/LU0SuVJd5Xk/W7O1A5RZaDS6Ps4\nqanVtTJl09LoeMnTuopW62iGhrwbJ+BV56/q51rl7tFsTPMNozYK7eO3EXOplPSmN0l79tgd3aJa\nkxIVzomzn4+Ts8tD+lN7nGG6pZLdFjzKtVZAmOz6E0M92dS0z079N1jVqTzprrJKxYwMw1Kme0LF\nkr+nHE6gYsvW/JqhITsY+/SX69dVXPbht3t2surseDz8FfvjEwZ6ddbyhb7thJTLprZsH9bBQ29R\n2bT06S//cPL7VQe8luxdrLGiqZ5sZsbHlWo916J+jPMrAHN+d09sMVQ2Ld9/p2gfQU4COLs5xuxL\nj3XNsuzapX37OHGOulrDdM88M9w1AWjOSeV5bcQOdLp6JlSesNs9tzLbphHnRPxQfkKG0SXLmnm/\n4xNljRVLdQMVN3UVC4/35vTI2Qm5OmXvLt1+3Upfr/ZPdf5aKmmq85ekyWYNtQKhXG+XDh46q2lg\nFCd+BWHO7/Tma+3not+/U7Qvvs/eWay/323eLhzF4tT7zebpWFawaVKkZk03W4fpAnHXKJXHnm3T\nfqBTPZvkmr97vP7XmlbDAvCg6yo2bZJM0/86Gredv2q1QH5x72EGfrao9U5+CBpBTgwNDEzl7Va2\njuZEub5sReZCvRPnfH6qU92KFcE8lk5qlrPD5HzP2Zjr7Jitw3SBJKguVJfs9s65vq6O7rf6xPxg\ngyAmnTIaBipB11Vs3RpMEx83O1StDJNN2iBZzD4EOTHlpF85raMrU7GSEuh4eVAwDHueTqMT58rd\nnWa7PV6plZol0dKYYbpAPFUXqqdSxuQMm3a1cmIu2btGzQKVWkM9+7ozsairqJfN4WaHqpVhsrRE\nRtwR5LTBzY6J31fiK9OvShUXWoI6OfeLs5sieTv3x2nN2ejEuXJ3J6g0qTimZs3mXSYA7jipPF60\nQHBzYp7uKmvpaa+przvjateoeubMvLk9yvVlY1GDUpnNUcnNDlUrw2RpiYy4i/5fc8S43THx+0p8\nZfpVpuKCVVxOlOupDNC8nPvjpjVnLmfv9qRSwaVJxTE1a7bvMgFR5X7OSry4OTFfcGJaT+9YrFxf\nVq0FVvYu0yWDRiIu3jSba9PKMFlaIiPuCHJaUJk+FfaOiZN+lUrZJ8jNUrE60d8f3JX7ygAtrLk/\nhhFssEFqFhA9558f9gpa5+WclShpfmLeeQF4qxdv+vuj2dG00VwbR61A6JRFxzDwE4lDiN6Cyhe0\nsHdMnJocyd5Zkvw7UR4YsF/8nfkvrXAaI7g9GDi7KeUyc38AhOf668NeASrVmk3S3WNp7Ighw7CO\njv8MLuoYGJAKhemfazRnJmi1ZyjZ6rVAfujrtERGsrCT0yI/d0xaUV2TE0TnllZUdirbu7e99UXx\nKhkAJEWc6uuqdyi+9hfvU3+uLMOwJFk6eGhMdz/0S0lBHgwtlU1ThSPFae2tP/3lHbr7oV+qXDYn\nv9IwopdKWN0CmZbIybBpk/0GdnLaEoXUouqanCCCHMuyg6t8vvnPX11bUxmUAQDC4wQ2caytc3Yo\nvv29X2l0fKmc05iyaWnbUy8qP/q2o3U5/imXTeVHSzLNjH5/aEyf/J87dGS83HAAZyqVzFTC2Syq\nFwicrJs4/n17jZ2cOqIeCVfW5Cxa5P/3qzfPpZ7q2pqsv8ccAIBLYTQP8bIpgiWrbkvp8YmyLJ93\nc7ZsH9bo+FRb0yPj5Zpfx5yZZKMJT/QR5NSxdWt7NShBMwzv07qqAxjLqj/PpZ7KTmWf+pR0ySXe\nrrGaZSVnPhAAdCLIZjFuedkUwTStui2ly6ZdV+KXVmb2MGcGCJerIOfnP/+5Lrvsshmf37Fjh9at\nW6f169frwQcf9HxxCEd1AFMstj/PxTCkr37Vv6sdlbU/SRqEOtvFqVYAiBqnWUzUePV3nUoZdVtK\np4/OvfFLK8M025kz4/YxGhmJdrYJEAVNa3Luvvtubdu2Tb29019QJiYmtHnzZn33u99Vb2+vLr30\nUp133nmaP3++b4tFMKoDmGx2ap5LsRh+04VKlQGZs8N05pnhrQfeiOIJGoDOePV3bcjQWcsX6js1\nbuvuSsvwsctaK8M025kz4/YxKhTsbBNeK4H6mu7kLFmyRF//+tdnfP6FF17QkiVLNHfuXGWzWZ1x\nxhnauXOnL4tEsCoDmMp0uCjOc6kMyMJu692IZUnj4+w0xV3Ua/WA2eLyNcvU1z0VQKRThi445xTl\n+rpaup/+/tZqhRrN7HGOlUmcM8PuOuKoaZCzevVqZTIzr0Tk83nNmTNn8uP+/n7lOYNLnFTEq7Yq\na3+a7TB59SLdasDSatMGRFdcavWAqDj9dPvNa+l0Srm+rFJH09Pmze052smstV2cgYHWa4UuX7NM\n55xXUCZrt4h2gprj5/bWHcDpJS+bOLhFkT3iqO2/wFwup0LFJKxCoTAt6AGCZBjNd5i8eJF2E7BU\nB0GtNm0AgKR4+mn7zT+G7AS24AarpdMpfe+h+Vq4ID0tqDGMYObMeNnEAcljHZ3fRGe/DoKcpUuX\navfu3Xr99ddVLBa1c+dOne7H5RogQM1SF5oFLLWCoHabNgAAWhNkWhXDMxEl5bLZdCjtbNPyX+b2\n7ds1Ojqq9evX6/Of/7yuuOIKWZaldevW6cQTT/RjjQhBNjs7B3g2uzrmBCylUu2ApVYQdOaZ0Wza\nAABxNjgo3XWXXYTvIKUKs9WW7cPa9tSLDYfSzjaugpzFixdPtohes2bN5OdXrlyplStX+rOyiIrS\n/AE/c3IXLpT27PHv/uOqWZe5ekFQFJs2AECcDQ3ZNXKVQU5URencAcnTaH7Tj3a9oss+/PZZueM4\n+37iDkVp/gA5ueFoFLBEtdU2ACA8UTp3QPI0mt/kDKVdePzsO+WPeO8sBIn2uN5g1wYAAASl0fym\ndobSJsXsC+tQl9Mal6tNABB9pD/FgyVLpmlprGhGOmWI51N8OfObnBqcSu0MpU2K2flTAwAQc7Uu\nSHGiGh3lsqkt24d18NBbVDYtffrLP9RZyxfq8jXLfJuh04rq5woXOOPNGT77xBZDZdPSCQO9k8+3\n2YogBwBcsiy73iqfJx0R0cSJanSE2e3KTbDLcyVZ0umUrlx7mm6+1t45vP26lbN2B8cR/qUEwAXq\nhRA2N4NgAUBq3u3K70GNXgy/Rjwxv2kKQQ5iYevWqZohIAzNBsECmBLkUM4octPtCoC/CPPgK8si\ntQfJ0GwQLIApcdlF8CsQc7pdvTYyM9CZzd2ugCCxkwNf5PNSuSyZJqk9SAZnBtKCBcxAAqKkk0Gb\nfqV1Od2uapnN3a6AIBHkwBeVqTyk9iApmIEERE9UB21evmaZLjjnFKVThiTphIFeXXDOKbO62xUQ\nJC4lwBeVqTx+p/b09/t33wAAtINuV0C4+GuDL3I5KZ22a3L8Tu0ZGPDvvgEA0RHHZgZ2tytDPVmS\nZ4AgEeTAV4ZBag8AwBtRTEsLgyV7d2isaLI7hGnieCHAL/xlAAAAxEC5bGrL9mEdPPQWlU1Ln/7y\nDyen2qfT7BSBCwGV+IsAAACIgS3bh7XtqRdVNi1J0msjR7TtqRe1ZTvdfYBqBDkAAAAd8nsA6lix\npB/teqXmbT/a9YrGiiX/vjkQQ6SrAR6rdZAjRxYAvBel11a/04RGDo9r/+szh4tK0oHXj2jk8LgW\nHs9pHeDgrwGuRelgEqZmj0OtAx05ssnA3wAQLWG+tgb9ejBwTLfmH9ur10ZmBjrHH9urgWO6g10Q\nEHEEOXCNE3Ubj8Psxe8egCPo14OebEZnLV+obU+9OOO2s5YvpMsaUIW/CDQ1Pi7l87OjFTRX6gEA\nUXX5Gnuy9hNbDJVNSycM9E52VwMwHUEOGiqXpX37pBUr/B/qGQVcqQcARFU6ndKVa0/Tzdfac3Ju\nv24lOzhAHXRXQ12WNfX+889LwwF1qOzvt4eIAgCAmQwZSqdSBDhAAwQ5MWRZdgpZZRDih8pA49RT\npWUB7YYPDEgpnpkAAABoE5cA6rAsqViMXi1KPi/t3SuVSlImIy1a5N2uR+XP7EinpfnzZ0eqGgAA\nAJKBIKeGykDCqUWJiuFhe12S/W+xKHV70DWy+meu3CXq7ibA8RPNDgAAALxFkFNDZSARZC2KG8uW\n2Ts4zk5ONuvN/Vb/zAsWdH6f/f2d34cjqjtrXqDZAQAAgLcIcmqoDCSCrEVxI5ezU9SKRTvA8SpV\nrfpnHh3t/D4HBjq/D6n2zlrSAh0AAAB4h/LuGpxAYsGCaJ5QG4adQuZlB7LqnzlK3c2ivLMGAACA\n6CHIqcMJJKIW4Pgpqj+zs8skRW9nDQAAANFDuhoia3x8qgbHSdHze2dt0yb7X+pkAAAA4oudnITo\n7/e2S9fgoLeNA1phWVK5LO3bZ9fg5PPB7TJt3Wq/AQAAIL7YyUmIgQFvdx+GhuyT/ULBu/t0q1ic\nep8aHABAnDEmAAgHQQ4ip7ItNjU4AIA4I/0ZCAfpai1y6kTgH8OQ0unodrcDAABAtBHkuFSrTgT+\nimKnNwAAAEQfQY5L1IkAAAAA8UCQ4xJ1ItG0aZM0MhL2KgAAABAlBDkuUScSTWF1gAMAAEB0EeS0\niDoRAAAAINoIcgAAAAAkCnNyAAAAYoQBo0BzBDkJwIsdAACzBwNGgeYIchIgqi92QQVf/f0EegAA\nAJhCkIO6LGvqrR1BBV8DA9EN9AAAABA8Gg+gpnxe2rtXMk3733w+7BUBAAAA7hDkuDQ4aKdFRcng\noH9pWsPDUqlkv18q2R8DAAAAcdA0Xc00Td1444361a9+pWw2q5tvvlknnXTS5O0333yzfvrTn6r/\naARwxx13aM6cOf6tOCRDQ/bgySjxM0Vr2TIpk7EDnEzG/hgAAACIg6ZBzqOPPqpisagHHnhAzz77\nrG699Vbdeeedk7cPDw/rnnvu0bx583xdKIKVy0mLFkl79tj/MgAVAAAAcdE0yHnmmWd0zjnnSJLe\n+c53ateuXZO3maap3bt364tf/KIOHDigiy++WBdffLF/q0WgDGPqLWx0TwMAAIBbTYOcfD6vXMVl\n/HQ6rVKppEwmo9HRUf3pn/6pPvnJT6pcLmvjxo1avny5Tj31VF8XDX9EOZCol5pnWVKxaDdGYLcJ\nAAAAkosgJ5fLqVAoTH5smqYyGft/6+3t1caNG9Xb2ytJOuuss/T8888T5MRU3NowOx3gSiVpxQrp\n6acJdAAAAOCiu9q73vUuPfnkk5KkZ599Vm9961snb3vppZf08Y9/XOVyWRMTE/rpT3+qZVSoIyCV\nHeCef54OcAAAALA13cn5wAc+oH//93/Xxz72MVmWpVtuuUX33nuvlixZolWrVmnNmjW65JJL1NXV\npQsvvFB/8Ad/EMS6gWkd4E49lQ5wAAAAsDUNclKplG666aZpn1u6dOnk+1deeaWuvPJK71cGNOF0\ngCsWSVUDAADAFIaBItYMQ+ruJsABAADAFIIcRM7goHR0tiwAAADQMoIcRM7QkDQwEM73tixpfNzu\n3AYAAIB4IsgBjnJaUu/bZ7ekJtABAACIJ4Ic4ChaUgMAACRD0+5qs9XgYNgrQNBoSQ0AAJAMBDl1\nDA2FvQIEjZbUAAAAyUC6GlCBltQAAADxR5ADAAAAIFEIcgAAAAAkCkEOAAAAgEQhyAEAAACQKHRX\nQ6zR6hsAAADVCHIQa7T6BgAAQDXS1QAAAAAkCkEOAAAAgEQhyAEAAACQKAQ5AAAAABKFIAcAAABA\nohDkAAAAAEgUghwAAAAAiUKQAwAAACBRCHIAAAAAJApBDgAAAIBEIcgBAAAAkCgEOQAAAAAShSAH\nAAAAQKIQ5AAAAABIFIIcAAAAAIlCkAMAAAAgUQhyAAAAACRKJuwFALUMDoa9AgAAAMQVQQ4iaWgo\nnO9LcAUAABB/BDlAhbCCKwAAAHiHmhwAAAAAiUKQAwAAACBRCHIAAAAAJApBDgAAAIBEIcgBAAAA\nkCgEOQAAAAAShSAHAAAAQKIQ5AAAAABIFIIcAAAAAIlCkAMAAAAgUQhyAAAAACQKQQ4AAACARGka\n5JimqS9+8Ytav369LrvsMu3evXva7Q8++KA++tGP6pJLLtHjjz/u20IBAAAAwI1Msy949NFHVSwW\n9cADD+jZZ5/VrbfeqjvvvFOStH//ft1///36x3/8R42Pj+vjH/+4/uiP/kjZbNb3hQMAAABALU2D\nnGeeeUbnnHOOJOmd73yndu3aNXnbL37xC51++unKZrPKZrNasmSJnn/+eb3jHe+oeV/lclmStG/f\nPi/WHpo9e8JegS2IdWQywX0vAMFwXoOd12RMScpxCgDizIvjVNMgJ5/PK5fLTX6cTqdVKpWUyWSU\nz+c1Z86cydv6+/uVz+fr3tf+/fslSRs2bGh7wWHq7rb/XbVqdqyju1s66aRgvheA4O3fv18nOX/k\nkBT/4xQAJEknx6mmQU4ul1OhUJj82DRNZY5e3q++rVAoTAt6qi1fvlzf+ta3NH/+fKXT6bYWDADo\nTLlc1v79+7V8+fKwlxI5HKcAIHxeHKeaBjnvete79Pjjj+vDH/6wnn32Wb31rW+dvO0d73iH/v7v\n/17j4+MqFot64YUXpt1eraenR+9+97vbXiwAwBvs4NTGcQoAoqHT45RhWZbV6AtM09SNN96o//qv\n/5JlWbrlllv05JNPasmSJVq1apUefPBBPfDAA7IsS1dddZVWr17d0YIAAAAAoBNNgxwAAAAAiBOG\ngQIAAABIFIIcAAAAAIlCkAMAAAAgUQhyAAAAACQKQQ4AAACARGk6J8dvo6Oj+tKXvqSuri695z3v\n0QUXXBD2koCW/O53v9Odd96pfD6vr33ta2EvB2jLo48+qieeeEK///3vtWHDBr33ve8Ne0mRwXEK\nccdxCknQ6nHKl52c66+/XmeffbY+8pGPTPv8k08+qdWrV+sDH/iA7rrrLknSI488otWrV+vmm2/W\njtrYIKsAAAKCSURBVB07/FgO0LJWnsNvfvObdcstt4SxTKChVp7H73//+3XzzTfr1ltv1b/+67+G\nsdxAcZxC3HGcQhL4eZzyJcj56Ec/qnvuuWfa58rlsm666Sbdc889evjhh/Uv//Iv+s1vfqNXX31V\nCxculCSl02k/lgO0rJXnMBBV7TyP77zzTm3YsCHopQaO4xTijuMUksDP45QvQc6KFSs0d+7caZ/7\nxS9+oZNOOklvfvOblc1mdf755+uxxx7TiSeeqH379kmSTNP0YzlAy1p5DgNR1crz2LIsDQ0N6Y//\n+I+1bNmykFYcHI5TiDuOU0gCP49TgTUeePXVV7VgwYLJj0888US9+uqr+uAHP6hHHnlEf/u3f6vz\nzjsvqOUALav3HB4ZGdEXv/hFPffcc/rmN78Z4gqB5uo9j++//379x3/8h/7t3/5N3/nOd0JcYXg4\nTiHuOE4hCbw6TgXWeMCyrBmfMwxDfX192rx5c1DLANpW7zk8MDCgm266KYQVAa2r9zzeuHGjNm7c\nGMKKooPjFOKO4xSSwKvjVGA7OQsWLJjc7pfsKO2EE04I6tsDHeM5jCTgeVwfjw3ijucwksCr53Fg\nQc5pp52ml156Sb/73e9ULBb18MMPa+XKlUF9e6BjPIeRBDyP6+OxQdzxHEYSePU8Nqxae0Id+tzn\nPqef/OQnGhkZ0XHHHac///M/1+DgoH7wgx/olltuUblc1rp163T11Vd7/a0BT/AcRhLwPK6PxwZx\nx3MYSeDn89iXIAcAAAAAwhJYuhoAAAAABIEgBwAAAECiEOQAAAAASBSCHAAAAACJQpADAAAAIFEI\ncgAAAAAkCkEOAAAAgEQhyAEAAACQKP8/OXKZZoP1lxIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13d1ed160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_trace = partial_pooling_trace['a']\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14,6), sharex=True, sharey=True)\n",
    "samples, counties = sample_trace.shape\n",
    "jitter = np.random.normal(scale=0.1, size=counties)\n",
    "\n",
    "n_county = srrs_mn.groupby('county')['idnum'].count()\n",
    "unpooled_means = srrs_mn.groupby('county')['log_radon'].mean()\n",
    "unpooled_sd = srrs_mn.groupby('county')['log_radon'].std()\n",
    "unpooled = pd.DataFrame({'n':n_county, 'm':unpooled_means, 'sd':unpooled_sd})\n",
    "unpooled['se'] = unpooled.sd/np.sqrt(unpooled.n)\n",
    "\n",
    "axes[0].plot(unpooled.n + jitter, unpooled.m, 'b.')\n",
    "for j, row in zip(jitter, unpooled.iterrows()):\n",
    "    name, dat = row\n",
    "    axes[0].plot([dat.n+j,dat.n+j], [dat.m-dat.se, dat.m+dat.se], 'b-')\n",
    "axes[0].set_xscale('log')\n",
    "axes[0].hlines(sample_trace.mean(), 0.9, 100, linestyles='--')\n",
    "\n",
    "        \n",
    "samples, counties = sample_trace.shape\n",
    "means = sample_trace.mean(axis=0)\n",
    "sd = sample_trace.std(axis=0)\n",
    "axes[1].scatter(n_county.values + jitter, means)\n",
    "axes[1].set_xscale('log')\n",
    "axes[1].set_xlim(1,100)\n",
    "axes[1].set_ylim(0, 3)\n",
    "axes[1].hlines(sample_trace.mean(), 0.9, 100, linestyles='--')\n",
    "for j,n,m,s in zip(jitter, n_county.values, means, sd):\n",
    "    axes[1].plot([n+j]*2, [m-s, m+s], 'b-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice the difference between the unpooled and partially-pooled estimates, particularly at smaller sample sizes. The former are both more extreme and more imprecise."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Varying intercept model\n",
    "\n",
    "This model allows intercepts to vary across county, according to a random effect.\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta x_{i} + \\epsilon_i$$\n",
    "\n",
    "where\n",
    "\n",
    "$$\\epsilon_i \\sim N(0, \\sigma_y^2)$$\n",
    "\n",
    "and the intercept random effect:\n",
    "\n",
    "$$\\alpha_{j[i]} \\sim N(\\mu_{\\alpha}, \\sigma_{\\alpha}^2)$$\n",
    "\n",
    "As with the the “no-pooling” model, we set a separate intercept for each county, but rather than fitting separate least squares regression models for each county, multilevel modeling **shares strength** among counties, allowing for more reasonable inference in counties with little data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as varying_intercept:\n",
    "    \n",
    "    # Priors\n",
    "    mu_a = Normal('mu_a', mu=0., tau=0.0001)\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    \n",
    "    \n",
    "    # Random intercepts\n",
    "    a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n",
    "    # Common slope\n",
    "    b = Normal('b', mu=0., sd=1e5)\n",
    "    \n",
    "    # Model error\n",
    "    sd_y = HalfCauchy('sd_y', 5)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a[county] + b * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sd_y, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can fit the above model using MCMC."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,084.1:  38%|███▊      | 19126/50000 [00:03<00:06, 5077.46it/s]\n",
      "Convergence archived at 19300\n",
      "Interrupted at 19,300 [38%]: Average Loss = 1,440.2\n",
      "100%|██████████| 2000/2000 [00:05<00:00, 337.77it/s]\n"
     ]
    }
   ],
   "source": [
    "with varying_intercept:\n",
    "    varying_intercept_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.gridspec.GridSpec at 0x13111f0f0>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAacAAAOFCAYAAADOFC2MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nglReAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1318755f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymc3 import forestplot, traceplot, plot_posterior\n",
    "\n",
    "plt.figure(figsize=(6,14))\n",
    "forestplot(varying_intercept_trace, varnames=['a'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([<matplotlib.axes._subplots.AxesSubplot object at 0x13cc13898>,\n",
       "       <matplotlib.axes._subplots.AxesSubplot object at 0x13e5010f0>], dtype=object)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAACoCAYAAADn2a+iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x131c128d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_posterior(varying_intercept_trace, varnames=['sigma_a', 'b'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The estimate for the `floor` coefficient is approximately -0.66, which can be interpreted as houses without basements having about half ($\\exp(-0.66) = 0.52$) the radon levels of those with basements, after accounting for county."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "b:\n",
      "\n",
      "  Mean             SD               MC Error         95% HPD interval\n",
      "  -------------------------------------------------------------------\n",
      "  \n",
      "  -0.658           0.064            0.003            [-0.785, -0.534]\n",
      "\n",
      "  Posterior quantiles:\n",
      "  2.5            25             50             75             97.5\n",
      "  |--------------|==============|==============|--------------|\n",
      "  \n",
      "  -0.789         -0.701         -0.655         -0.613         -0.536\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from pymc3 import summary\n",
    "\n",
    "summary(varying_intercept_trace, varnames=['b'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFMCAYAAADx1nR5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nG8MDCpkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13e4cdb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xvals = np.arange(2)\n",
    "bp = varying_intercept_trace[a].mean(axis=0)\n",
    "mp = varying_intercept_trace[b].mean()\n",
    "for bi in bp:\n",
    "    plt.plot(xvals, mp*xvals + bi, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.1,1.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is easy to show that the partial pooling model provides more objectively reasonable estimates than either the pooled or unpooled models, at least for counties with small sample sizes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAswAAAFyCAYAAADh+YyCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEIIcRayYBZCCCGEEOIs/j+AU2ioROBEzQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13f95d6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 4, figsize=(12, 6), sharey=True, sharex=True)\n",
    "axes = axes.ravel()\n",
    "for i,c in enumerate(sample_counties):\n",
    "    \n",
    "    # Plot county data\n",
    "    y = srrs_mn.log_radon[srrs_mn.county==c]\n",
    "    x = srrs_mn.floor[srrs_mn.county==c]\n",
    "    axes[i].scatter(x + np.random.randn(len(x))*0.01, y, alpha=0.4)\n",
    "    \n",
    "    # No pooling model\n",
    "    m,b = unpooled_estimates[['floor', c]]\n",
    "    \n",
    "    xvals = np.linspace(-0.2, 1.2)\n",
    "    # Unpooled estimate\n",
    "    axes[i].plot(xvals, m*xvals+b)\n",
    "    # Pooled estimate\n",
    "    axes[i].plot(xvals, m0*xvals+b0, 'r--')\n",
    "    # Partial pooling esimate\n",
    "    axes[i].plot(xvals, mp*xvals+bp[county_lookup[c]], 'k:')\n",
    "    axes[i].set_xticks([0,1])\n",
    "    axes[i].set_xticklabels(['basement', 'floor'])\n",
    "    axes[i].set_ylim(-1, 3)\n",
    "    axes[i].set_title(c)\n",
    "    if not i%2:\n",
    "        axes[i].set_ylabel('log radon level')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Varying slope model\n",
    "\n",
    "Alternatively, we can posit a model that allows the counties to vary according to how the location of measurement (basement or floor) influences the radon reading.\n",
    "\n",
    "$$y_i = \\alpha + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as varying_slope:\n",
    "    \n",
    "    # Priors\n",
    "    mu_b = Normal('mu_b', mu=0., sd=1e5)\n",
    "    sigma_b = HalfCauchy('sigma_b', 5)\n",
    "    \n",
    "    # Common intercepts\n",
    "    a = Normal('a', mu=0., sd=1e5)\n",
    "    # Random slopes\n",
    "    b = Normal('b', mu=mu_b, sd=sigma_b, shape=counties)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = HalfCauchy('sigma_y',5)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a + b[county] * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,136.6:  39%|███▉      | 19696/50000 [00:03<00:05, 6000.49it/s]\n",
      "Convergence archived at 19700\n",
      "Interrupted at 19,700 [39%]: Average Loss = 1,442.1\n",
      " 99%|█████████▉| 1980/2000 [00:07<00:00, 311.89it/s]/Users/fonnescj/Repos/pymc3/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.577074482387, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "/Users/fonnescj/Repos/pymc3/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 0 contains 1 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n",
      "100%|██████████| 2000/2000 [00:07<00:00, 266.73it/s]\n"
     ]
    }
   ],
   "source": [
    "with varying_slope:\n",
    "    varying_slope_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.gridspec.GridSpec at 0x13ba402e8>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAOFCAYAAAAh1kayAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13ba40278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,14))\n",
    "forestplot(varying_slope_trace, varnames=['b'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAegAAAFLCAYAAAAd2B9MAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13c89fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xvals = np.arange(2)\n",
    "b = varying_slope_trace['a'].mean()\n",
    "m = varying_slope_trace['b'].mean(axis=0)\n",
    "for mi in m:\n",
    "    plt.plot(xvals, mi*xvals + b, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.2, 1.2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Varying intercept and slope model\n",
    "\n",
    "The most general model allows both the intercept and slope to vary by county:\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta_{j[i]} x_{i} + \\epsilon_i$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as varying_intercept_slope:\n",
    "    \n",
    "    # Priors\n",
    "    mu_a = Normal('mu_a', mu=0., sd=1e5)\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    mu_b = Normal('mu_b', mu=0., sd=1e5)\n",
    "    sigma_b = HalfCauchy('sigma_b', 5)\n",
    "    \n",
    "    # Random intercepts\n",
    "    a = Normal('a', mu=mu_a, sd=sigma_a, shape=counties)\n",
    "    # Random slopes\n",
    "    b = Normal('b', mu=mu_b, sd=sigma_b, shape=counties)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a[county] + b[county] * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,110.8:  67%|██████▋   | 33292/50000 [00:07<00:03, 4380.03it/s]\n",
      "Convergence archived at 33500\n",
      "Interrupted at 33,500 [67%]: Average Loss = 2,055.3\n",
      " 99%|█████████▉| 1976/2000 [00:13<00:00, 242.95it/s]/Users/fonnescj/Repos/pymc3/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.714423561207, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 2000/2000 [00:13<00:00, 146.79it/s]\n"
     ]
    }
   ],
   "source": [
    "with varying_intercept_slope:\n",
    "    varying_intercept_slope_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.gridspec.GridSpec at 0x14374b4a8>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaYAAAP/CAYAAACLb2gVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgihKzIxCSGE0JX/AR+w1CjkXt7jAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x14374b550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6,16))\n",
    "forestplot(varying_intercept_slope_trace, varnames=['a','b'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFJCAYAAAChG+XKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMDAwSDD8f0rUPlpxJtMyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x144342ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xvals = np.arange(2)\n",
    "b = varying_intercept_slope_trace['a'].mean(axis=0)\n",
    "m = varying_intercept_slope_trace['b'].mean(axis=0)\n",
    "for bi,mi in zip(b,m):\n",
    "    plt.plot(xvals, mi*xvals + bi, 'bo-', alpha=0.4)\n",
    "plt.xlim(-0.1, 1.1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding group-level predictors\n",
    "\n",
    "A primary strength of multilevel models is the ability to handle predictors on multiple levels simultaneously. If we consider the varying-intercepts model above:\n",
    "\n",
    "$$y_i = \\alpha_{j[i]} + \\beta x_{i} + \\epsilon_i$$\n",
    "\n",
    "we may, instead of a simple random effect to describe variation in the expected radon value, specify another regression model with a county-level covariate. Here, we use the county uranium reading $u_j$, which is thought to be related to radon levels:\n",
    "\n",
    "$$\\alpha_j = \\gamma_0 + \\gamma_1 u_j + \\zeta_j$$\n",
    "\n",
    "$$\\zeta_j \\sim N(0, \\sigma_{\\alpha}^2)$$\n",
    "\n",
    "Thus, we are now incorporating a house-level predictor (floor or basement) as well as a county-level predictor (uranium).\n",
    "\n",
    "Note that the model has both indicator variables for each county, plus a county-level covariate. In classical regression, this would result in collinearity. In a multilevel model, the partial pooling of the intercepts towards the expected value of the group-level linear model avoids this.\n",
    "\n",
    "Group-level predictors also serve to reduce group-level variation $\\sigma_{\\alpha}$. An important implication of this is that the group-level estimate induces stronger pooling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pymc3 import Deterministic\n",
    "\n",
    "with Model() as hierarchical_intercept:\n",
    "    \n",
    "    # Priors\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    \n",
    "    # County uranium model for slope\n",
    "    gamma_0 = Normal('gamma_0', mu=0., sd=1e5)\n",
    "    gamma_1 = Normal('gamma_1', mu=0., sd=1e5)\n",
    "    \n",
    "    \n",
    "    # Uranium model for intercept\n",
    "    mu_a = gamma_0 + gamma_1*u\n",
    "    # County variation not explained by uranium\n",
    "    eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n",
    "    a = Deterministic('a', mu_a + eps_a[county])\n",
    "    \n",
    "    # Common slope\n",
    "    b = Normal('b', mu=0., sd=1e5)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a + b * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,090.9:  65%|██████▍   | 32391/50000 [00:06<00:03, 5310.72it/s]\n",
      "Convergence archived at 32500\n",
      "Interrupted at 32,500 [65%]: Average Loss = 2,042.8\n",
      " 99%|█████████▉| 1985/2000 [00:08<00:00, 296.78it/s]/Users/fonnescj/Repos/pymc3/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.393053556431, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "100%|██████████| 2000/2000 [00:08<00:00, 239.78it/s]\n"
     ]
    }
   ],
   "source": [
    "with hierarchical_intercept:\n",
    "    hierarchical_intercept_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfYAAAFXCAYAAABQq2z3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkcAuhBBCxBAJ7EIIIUQM+Qdjr0ovF7ipqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x144df9438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a_means = hierarchical_intercept_trace['a'].mean(axis=0)\n",
    "plt.scatter(u, a_means)\n",
    "g0 = hierarchical_intercept_trace['gamma_0'].mean()\n",
    "g1 = hierarchical_intercept_trace['gamma_1'].mean()\n",
    "xvals = np.linspace(-1, 0.8)\n",
    "plt.plot(xvals, g0+g1*xvals, 'k--')\n",
    "plt.xlim(-1, 0.8)\n",
    "\n",
    "a_se = hierarchical_intercept_trace['a'].std(axis=0)\n",
    "for ui, m, se in zip(u, a_means, a_se):\n",
    "    plt.plot([ui,ui], [m-se, m+se], 'b-')\n",
    "plt.xlabel('County-level uranium'); plt.ylabel('Intercept estimate');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The standard errors on the intercepts are narrower than for the partial-pooling model without a county-level covariate."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Correlations among levels\n",
    "\n",
    "In some instances, having predictors at multiple levels can reveal correlation between individual-level variables and group residuals. We can account for this by including the average of the individual predictors as a covariate in the model for the group intercept.\n",
    "\n",
    "$$\\alpha_j = \\gamma_0 + \\gamma_1 u_j + \\gamma_2 \\bar{x} + \\zeta_j$$\n",
    "\n",
    "These are broadly referred to as ***contextual effects***."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create new variable for mean of floor across counties\n",
    "xbar = srrs_mn.groupby('county')['floor'].mean().rename(county_lookup).values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as contextual_effect:\n",
    "    \n",
    "    # Priors\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    \n",
    "    # County uranium model for slope\n",
    "    gamma = Normal('gamma', mu=0., sd=1e5, shape=3)\n",
    "    \n",
    "    # Uranium model for intercept\n",
    "    mu_a = Deterministic('mu_a', gamma[0] + gamma[1]*u.values + gamma[2]*xbar[county])\n",
    "\n",
    "    # County variation not explained by uranium\n",
    "    eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n",
    "    a = Deterministic('a', mu_a + eps_a[county])\n",
    "\n",
    "    # Common slope\n",
    "    b = Normal('b', mu=0., sd=1e15)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a + b * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,130.7:  62%|██████▏   | 30915/50000 [00:06<00:03, 5601.80it/s]\n",
      "Convergence archived at 31000\n",
      "Interrupted at 31,000 [62%]: Average Loss = 2,133.5\n",
      "100%|██████████| 2000/2000 [00:09<00:00, 203.41it/s]\n"
     ]
    }
   ],
   "source": [
    "with contextual_effect:\n",
    "    contextual_effect_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.gridspec.GridSpec at 0x148788a20>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAF8CAYAAAAdGrsOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBAAAGPX/AD5LmRQ18C4uAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1487885f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "forestplot(contextual_effect_trace, varnames=['gamma'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "gamma:\n",
      "\n",
      "  Mean             SD               MC Error         95% HPD interval\n",
      "  -------------------------------------------------------------------\n",
      "  \n",
      "  1.427            0.047            0.003            [1.338, 1.520]\n",
      "  0.686            0.089            0.004            [0.531, 0.871]\n",
      "  0.408            0.193            0.010            [0.053, 0.799]\n",
      "\n",
      "  Posterior quantiles:\n",
      "  2.5            25             50             75             97.5\n",
      "  |--------------|==============|==============|--------------|\n",
      "  \n",
      "  1.339          1.396          1.427          1.457          1.521\n",
      "  0.523          0.620          0.684          0.747          0.868\n",
      "  0.030          0.277          0.410          0.541          0.793\n",
      "\n"
     ]
    }
   ],
   "source": [
    "summary(contextual_effect_trace, varnames=['gamma'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, we might infer from this that counties with higher proportions of houses without basements tend to have higher baseline levels of radon. Perhaps this is related to the soil type, which in turn might influence what type of structures are built."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Prediction\n",
    "\n",
    "Gelman (2006) used cross-validation tests to check the prediction error of the unpooled, pooled, and partially-pooled models\n",
    "\n",
    "**root mean squared cross-validation prediction errors**:\n",
    "\n",
    "* unpooled = 0.86\n",
    "* pooled = 0.84\n",
    "* multilevel = 0.79\n",
    "\n",
    "There are two types of prediction that can be made in a multilevel model:\n",
    "\n",
    "1. a new individual within an existing group\n",
    "2. a new individual within a new group\n",
    "\n",
    "For example, if we wanted to make a prediction for a new house with no basement in St. Louis county, we just need to sample from the radon model with the appropriate intercept."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "69"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "county_lookup['ST LOUIS']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That is, \n",
    "\n",
    "$$\\tilde{y}_i \\sim N(\\alpha_{69} + \\beta (x_i=1), \\sigma_y^2)$$\n",
    "\n",
    "This is simply a matter of adding a single additional line in PyMC:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "with Model() as contextual_pred:\n",
    "    \n",
    "    # Priors\n",
    "    sigma_a = HalfCauchy('sigma_a', 5)\n",
    "    \n",
    "    # County uranium model for slope\n",
    "    gamma = Normal('gamma', mu=0., sd=1e5, shape=3)\n",
    "    \n",
    "    # Uranium model for intercept\n",
    "    mu_a = Deterministic('mu_a', gamma[0] + gamma[1]*u.values + gamma[2]*xbar[county])\n",
    "\n",
    "    # County variation not explained by uranium\n",
    "    eps_a = Normal('eps_a', mu=0, sd=sigma_a, shape=counties)\n",
    "    a = Deterministic('a', mu_a + eps_a[county])\n",
    "\n",
    "    # Common slope\n",
    "    b = Normal('b', mu=0., sd=1e15)\n",
    "    \n",
    "    # Model error\n",
    "    sigma_y = Uniform('sigma_y', lower=0, upper=100)\n",
    "    \n",
    "    # Expected value\n",
    "    y_hat = a + b * floor_measure\n",
    "    \n",
    "    # Data likelihood\n",
    "    y_like = Normal('y_like', mu=y_hat, sd=sigma_y, observed=log_radon)\n",
    "    \n",
    "    # St Louis county prediction\n",
    "    stl_pred = Normal('stl_pred', mu=a[69] + b, sd=sigma_y)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 1,131.4:  61%|██████▏   | 30703/50000 [00:06<00:03, 5430.03it/s]\n",
      "Convergence archived at 31000\n",
      "Interrupted at 31,000 [62%]: Average Loss = 2,134.9\n",
      "100%|██████████| 2000/2000 [00:09<00:00, 203.38it/s]\n"
     ]
    }
   ],
   "source": [
    "with contextual_pred:\n",
    "    contextual_pred_trace = sample(1000, n_init=50000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([<matplotlib.axes._subplots.AxesSubplot object at 0x143c26358>], dtype=object)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1QAAACoCAYAAADn2a+iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/0I+iEKH74xEAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x144827d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_posterior(contextual_pred_trace, varnames=['stl_pred'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Benefits of Multilevel Models\n",
    "\n",
    "Accounting for natural hierarchical structure of observational data\n",
    "\n",
    "Estimation of coefficients for (under-represented) groups\n",
    "\n",
    "Incorporating individual- and group-level information when estimating group-level coefficients\n",
    "\n",
    "Allowing for variation among individual-level coefficients across groups\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "Gelman, A., & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models (1st ed.). Cambridge University Press.\n",
    "\n",
    "Gelman, A. (2006). Multilevel (Hierarchical) modeling: what it can and cannot do. Technometrics, 48(3), 432–435."
   ]
  }
 ],
 "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": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
