Bayesian Networks and Allele Frequencies.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian Networks for Estimating Measured Allele Frequencies\n",
    "\n",
    "Basically...\n",
    "\n",
    "Population Allele Frequency -> [Black Box] ~ Measured Allele Frequency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['dot', '-Tps', '/tmp/tmpsoag_ydv'] return code: -11\n",
      "\n",
      "stdout, stderr:\n",
      " b''\n",
      "b'Warning: Could not load \"/home/stephen/miniconda3/lib/graphviz/libgvplugin_pango.so.6\" - file not found\\n'\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.configdefaults): install mkl with `conda install mkl-service`: No module named 'mkl'\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as stats\n",
    "import matplotlib.pyplot as graph\n",
    "import pyjoyplot as pjp\n",
    "import seaborn as sns\n",
    "from tqdm import tqdm\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from Statistics import autocorrelate, ecdf, elbow_detection\n",
    "from Helpers.pandasTools import load_pooled_vcf\n",
    "from IPython.display import display, Markdown\n",
    "\n",
    "graph.style.use('fivethirtyeight')\n",
    "\n",
    "af_pop = 0.05\n",
    "lam_drones_mated = 12\n",
    "\n",
    "def hwe(q):\n",
    "    p = 1-q\n",
    "    return [p ** 2, 2*p*q, q ** 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAs8AAADkCAYAAABnhslrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGQAAAABA6D9sJE8HnVXgfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65038dcf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcsAAAEJCAYAAAD7Igz4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64eb119d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.7921, 0.1958, 0.0121] 1.0\n"
     ]
    }
   ],
   "source": [
    "# N Drones Mated\n",
    "ds = stats.poisson.rvs(12, size=int(1e6))\n",
    "graph.figure(figsize=(10, 3))\n",
    "graph.title(f'$\\mu$ = {ds.mean()} $\\sigma$ = {ds.std()}')\n",
    "sns.countplot(stats.poisson.rvs(12, size=int(1e6)), color='seagreen')\n",
    "graph.show()\n",
    "\n",
    "# N Queens with genotypes\n",
    "queens = pm.Categorical.dist(p=hwe(0.11))\n",
    "sns.countplot(queens.random(size=int(1e5)), color='seagreen')\n",
    "graph.show()\n",
    "\n",
    "print(hwe(0.11), sum(hwe(0.11)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.05 $N_d$ = 12 with 500000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 21333/21333 [00:10<00:00, 1965.53it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA08AAANQCAYAAADwvlRUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65001760f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def bayes_model(af, drones_mated, mc_samples=500e3, plots=False):\n",
    "    display(Markdown(f'Hyperparameters: $AF$ = {af} $N_d$ = {drones_mated} with {mc_samples} posterior samples'))\n",
    "    with pm.Model() as af_net:\n",
    "        # Drones\n",
    "        n_drones_rv = pm.Poisson('N Drones', mu=drones_mated)\n",
    "        n_allele_drones = pm.Binomial('N Alleles Drones', n=n_drones_rv, p=af)\n",
    "\n",
    "        # Queen\n",
    "        n_allele_queen = pm.Categorical('N Alleles Queen', p=hwe(af))\n",
    "\n",
    "        # Deterministics\n",
    "        n_total_allele = pm.Deterministic('N', n_drones_rv + 2)  # 2 is number of alleles the queen contributes\n",
    "        n_alternate_allele = pm.Deterministic('N alt', n_allele_drones + n_allele_queen)\n",
    "        measured_af = pm.Deterministic('Measured Allele Frequency', n_alternate_allele / n_total_allele)\n",
    "\n",
    "        # Sample\n",
    "        trace = pm.sample(int(mc_samples / 24), step=pm.Metropolis(), njobs=24)\n",
    "        trace = trace[::10]\n",
    "        \n",
    "        if plots:\n",
    "            pm.traceplot(trace, combined=True)\n",
    "            graph.show()\n",
    "\n",
    "        # Used to check that [::10] was enough to remove autocorrelation\n",
    "        # pm.autocorrplot(trace, max_lag=100)\n",
    "        # graph.show()\n",
    "\n",
    "    data = pm.trace_to_dataframe(trace)\n",
    "    return data, data['Measured Allele Frequency'], trace\n",
    "\n",
    "# Test Function\n",
    "df, _, sample_trace = bayes_model(af_pop, lam_drones_mated, plots=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "49.57% are AF = 0"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Minimum non zero AF = 0.034"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAy0AAAFuCAYAAACMQ/ftAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzs3Xl0Tff+//FXGlNQDpFBaChSYmhR\nkqIUUaqmIoSOgiKhWmpu0d5qI3V/yjWkarq3hpIoEuXWGCSEcNtKKxppNSiaVAhilpzfH105X6eZ\nybDD87HWWStnf957n8/e/SzNK5/92ccmJSXFLAAAAAAwqEeKuwMAAAAAkBNCCwAAAABDI7QAAAAA\nMDRCCwAAAABDI7QAAAAAMDRCCwAAAABDI7QAAAAAMDRCCwAUk8jISFWtWlUmk0kffPBBljW3b9/W\n/Pnz1bZtW7m4uKhGjRry8vLSl19+KbM5f1+z1aRJE5lMpixfTzzxRKZ6Pz+/bOszXj179rTaJzEx\nUUOGDFG9evXk5uamYcOG6c8//8yyP0uXLpWLi4sSEhLydR5GFhERkes1u/sVERFR3F0GgBKhVHF3\nAAAeRpcuXdKIESNUvnx5paamZllz69YteXt7a+/evapZs6YGDBggW1tb7dixQ6NHj1Z0dLTmz5+f\n78+eOHFipm0VK1bMtK1bt25ydXXN8hhr165VQkKCnn/+ecu29PR0DRgwQD/++KMGDBggSVqzZo1O\nnDihbdu26ZFH/u/vZKdPn9YHH3ygqVOnqnbt2vk+B6NydXXN8vre7bvvvtP27dtVsWLFbK8vAMCa\nTUpKSv7+VAcAuG/Dhg3T9u3b9dZbb+kf//iH3nnnnUyzLQsXLtSUKVPUokULbdy40RIsbty4of79\n+2vv3r1auXKlunfvnqfPbNKkiU6fPq2UlJT76ntKSorc3d2VlpamY8eOyd7eXpJ0+PBhderUSe+9\n957Gjx8vSfr000/1ySefaOfOnXr66actx+jTp4+uXr2q//73v1Zh5kGXkJAgLy8vXbhwQStXrlS3\nbt2Ku0sAUCI8PP+nAACD2Lhxo4KDgzVr1iw5OTllW7dp0yZJ0rhx46xmQsqVK6fJkydLkr744ovC\n7WwW1q5dq+vXr6tHjx6WwCL9NXsiSc2aNbNsy/g5o02SVqxYof3792v+/Pn3HFhWrVql1157TU89\n9ZScnZ312GOPqUuXLvrqq6+yrO/WrZtMJpMSEhIUFBSkVq1aycnJSS+//LJVXWhoqHr16qXatWvL\n0dFRzZs31wcffKDLly/fUz/vdvnyZQ0cOFDJycmaNm1aloHl0qVL+vjjj9WqVStVr15dNWvW1Asv\nvKCNGzdmqs24Fc3Pz0/x8fF64403VLduXVWpUkUxMTGWupiYGA0aNEhubm5ycHBQo0aNNGrUqAfq\ntjwADz5uDwOAInTu3DmNGTNGvXr1kre3t1atWpVtbVJSkiRleftUxraoqCjdvn1bpUuXznMf1q9f\nr4SEBJUtW1YNGzbUs88+m6/9//Of/0iS3njjDavtNWvWlPTXL8mdOnWSJB05ckSS9Nhjj0n66/zf\ne+89TZ48WW5ubnn+zL979913Vb9+fbVu3VrOzs66cOGCtm/fbvkFftq0aVnuN3HiRB04cEBdunRR\n586drcLgu+++q6VLl6pGjRrq3r27TCaTDh8+rDlz5mjbtm3aunWrHn300Xvqb3p6uoYOHapjx46p\nf//+GjNmTKaas2fPqkePHvr111/VqlUrDRo0SNeuXdO2bds0aNAgTZw40RJW7/bbb7/Jy8tL9evX\nl4+Pj65cuaLy5ctLkrZv365XX31VaWlp6tGjhx5//HEdPXpUK1eu1DfffKOwsDA9+eST93ROAFCU\nCC0AUETMZrNGjhyp0qVLa/bs2bnW29vb69dff9XJkyfVoEEDq7aMv5Lfvn1bv/32W5YL6bMzePBg\nq/c1a9bU/Pnz1b59+1z3jY6OVmxsrOrVq6d27dpZtTVv3lxPPfWUAgIClJCQILPZrDVr1qh58+aW\nGZcxY8aoXr16GjVqVJ77m5WoqCg9/vjjVtsy1gDNnTtXQ4YMUY0aNTLtFxMTo71796pWrVpW29eu\nXaulS5eqe/fuWrx4sezs7Cxts2bN0scff6yZM2fq448/vqf+Tp06Vdu2bVPLli31r3/9K8saPz8/\nnThxQkuWLJG3t7dl++XLl9W9e3d9+umn6t69u5o0aWK134EDBzR27NhMQe3q1asaMWKEbt26pdDQ\nUKv/Xl9++aVGjx6tESNGaN++fbKxsbmn8wKAosLtYQBQRBYtWqRdu3bps88+s7qtKjsvvPCCJOmf\n//ynrl27Ztl+8+ZNBQYGWt7ndY3KK6+8otDQUB0/flxnz57V/v375evrqzNnzsjHx0c//PBDrsf4\n97//LSnzLIsk2draas2aNerevbs2b96s//73v+rZs6e++uorPfLII1q7dq127dql+fPn69atWxo7\ndqxcXV3l6Ogob29vnTp1Kk/nISlTYJGkMmXKaOjQoUpLS9PevXuz3G/06NGZAov01/ohW1tbzZs3\nzyqwSNLYsWNlb2+v4ODgPPfvbitWrNCCBQtUo0YNrVy5UuXKlctUc/ToUe3Zs0fdunWzCiySVKlS\nJU2aNElms1khISGZ9nV0dMxy8f/mzZuVnJysXr16ZQqYr7/+upo2barY2FgdOnTons4LAIoSMy0A\nUATi4uL0wQcfaMCAAXlefD1ixAht2rRJhw4dkqenpzp37qxHHnlEO3fu1J9//qnHHntMp0+flq2t\nbZ6ON2nSJKv3DRs21GeffaYKFSpo/vz5CgwMzHZNiPTXeouNGzeqTJkymdaCZKhevbqWL1+eaXtS\nUpImTZqkcePGqWHDhho/frxWrVqlTz75RC4uLho/frxeeeUV7d27N09/9T99+rTmzp2rPXv26Pff\nf9f169et2s+dO5flfnc/DCDD9evXFRMToypVqujzzz/Pcr8yZcro3LlzunDhgqpWrZpr/zLs379f\n7777rsqXL6/Vq1dnu4bp4MGDkqQrV64oICAgU3tycrKkv8bR3zVu3Fhly5bNtD3j1ry/B5YMzz33\nnH744QcdOXJEHh4eeTshACgmhBYAKALDhg2Tvb291QxJbsqXL6/Nmzdr7ty52rhxo1auXKmyZcuq\nTZs2WrVqlV5//XVJUrVq1e6rb4MHD9b8+fN14MCBHOuCg4N17do19e3bN08zRXcbN26catSooTFj\nxig1NVX//ve/9fLLL2vIkCGS/vplfdiwYdqzZ0+ut6klJCSoY8eOSklJUatWrdShQwdVqlRJtra2\nOnXqlL766ivdvHkzy30dHR0zbbt48aLMZrMuXLiQ63+f1NTUPIeWhIQEvfbaa7p9+7YWL16sp556\nKtvaCxcuSJL27NmjPXv2ZFt39erVTNuyOidJlocHZNeeEaAuXbqU7ecBgFEQWgCgCGT81TurW5Mk\nac6cOZozZ45efPFFrV692rK9fPnymjx5cqYF2MnJyfrll19UrVq1bI+ZVxmh5+5b0LKSsQB/0KBB\n+Tr+hg0btGXLFu3cuVOlS5fWzz//rNu3b1utzchYDP7zzz/nGloWLFigCxcuaMGCBXrllVes2tat\nW5fjbFFWsziVKlWS9NfM0/79+/N6Wjm6cuWK5UlhU6ZMUa9evXKsz+jDjBkz8r3eJ7uZqYxjZjzQ\n4e8SExOt6gDAyAgtAFAEXnvttSy3//rrr9q/f78aNWqk5s2b5/lJTv/5z39kNpvVr1+/++5bxpqG\nnL7k8fDhw/rpp59Ur149tW3bNs/HTk5O1oQJE/TOO+9kmmm4ezYk4+e83Bp24sQJSVLPnj0zte3b\nty/PfctQsWJFNWzYUPHx8UpOTs73LNLf3f2ksD59+mjChAm57pNxe1ZUVNR9P6QgQ8b1joiIyPTw\nBUmWdT9NmzYtkM8DgMLEQnwAKALz5s3L8pUxU/D8889r3rx5evPNN632y+r7Qfbs2aN//vOfqlat\nWqZH5167dk3Hjx/Xb7/9ZrX92LFjunjxYqZjnTp1yvJFkP3798+2/zktwM/JhAkTZG9vb/kMSapT\np47KlCmjHTt2WLZt27ZNkjI9JS0rGd8iHxkZabV9586d+vLLL/PVvwwjR47U7du35e/vn+V1unLl\nig4fPpynY02dOlVbt25Vs2bNtGDBgjzt07RpU7Vp00ZbtmyxBNK/++WXX6y+7yY33bp1U9WqVRUa\nGpopzK1atUrff/+93N3d1bJlyzwfEwCKCzMtAGBgHh4eatSokdzc3FSuXDnFxMQoPDxclStX1urV\nqzOtV/jf//6nHj166LHHHtOPP/5o2b5x40bNmTNHbdu2Va1atVSxYkX99ttv2rZtm27cuKHOnTvr\nrbfeyrIPly9f1oYNG3JcgJ+VzZs3a+PGjdq6davVQvEKFSrI19dXixYtUv/+/eXi4qKVK1eqadOm\n2S4av9uQIUO0atUqDRo0SD179lT16tV17Ngx7dixQ71799b69evz3McMr7zyio4cOaIvvvhCTZs2\nlZeXl1xdXXXp0iWdOnVK+/fvV4cOHaxu3ctKaGioJag8+eSTmjNnTo71zz77rGXmasmSJerVq5fe\nfvttLVq0SC1btlSVKlV09uxZ/fzzz4qJidHKlSst33mTmwoVKmjhwoV6/fXX9dJLL6lnz56qXbu2\nfvrpJ23btk2VK1dWUFAQjzsGUCIQWgDAwPr3768dO3YoOjpat27dUs2aNTVixAi988472T6JKitt\n27bVL7/8oiNHjig6OlrXrl1T5cqV9cwzz8jHx0cDBgzI9pfXkJAQXb16NV8L8FNSUvTuu+/Kz89P\nLVq0yNT+4YcfKj09XevWrdONGzfk5eWl//f//l+efoFu3LixNm3apBkzZmjbtm1KS0tT48aNtWLF\nClWuXPmeQoskffrpp+rcubOWLl2qyMhIXbx4UZUrV5aLi4uGDBmSp1vxYmNjLT9nrAHKTUZoqV69\nusLDw7V48WKFhobq66+/1u3bt+Xo6Kh69epp5syZevbZZ/N1Ti+88IK2bdum2bNna8+ePQoNDZWD\ng4MGDhyoCRMm5HhLIAAYiU1KSkrmOWgAAAAAMAjWtAAAAAAwNEILAAAAAEMjtAAAAAAwNEILAAAA\nAEMjtAAAAAAwNEILAAAAAEMjtAAAAAAwNEJLEYiPjy/uLsDgGCPICeMDuWGMIDeMEeSkJIwPQgsA\nAAAAQyO0AAAAADA0QgsAAAAAQyO0AAAAADC0XEPL7Nmz1aFDBz322GOqW7eufHx8FBsba1Xj5+cn\nk8lk9erUqZNVzc2bNzV+/HjVqVNHLi4uGjBggM6cOWNVc/r0afn4+MjFxUV16tTRhAkTdOvWLaua\nyMhIPffcc3JyctJTTz2lZcuW3eu5AwAAACgBcg0tkZGRGjJkiLZu3aqwsDCVKlVKL730ki5evGhV\n1759e8XFxVleISEhVu2TJ0/Wpk2btHTpUm3ZskVXrlyRj4+P0tLSJElpaWny8fFRamqqtmzZoqVL\nlyosLEzvvfee5RgJCQnq37+/PDw8tHfvXo0dO1YTJkxQaGhoQVwLAAAAAAZUKreC9evXW71ftGiR\nXF1ddeDAAXXt2tWyvWzZsnJycsryGJcuXdKKFSu0YMECdejQwXKcJk2aaPfu3fLy8tKuXbt07Ngx\n/fjjj6pZs6Yk6cMPP9To0aM1depUVapUScuXL5ezs7NmzZolSapfv74OHz6s+fPnq1evXvd2BQAA\nAAAYWr7XtKSmpio9PV0mk8lqe1RUlOrVq6enn35ao0eP1p9//mlp++GHH3T79m117NjRsq1mzZqq\nX7++Dh48KEmKjo5W/fr1LYFFkry8vHTz5k398MMPlpq7j5FR8/333+v27dv5PRUAAAAAJUCuMy1/\nN2nSJDVp0kQeHh6WbZ06dVKPHj1Uq1YtnTp1SjNmzFDPnj21e/dulS1bVklJSbK1tZW9vb3VsRwc\nHJSUlCRJSkpKkoODg1W7vb29bG1trWrat2+f6Rh37txRcnKynJ2ds+yzEb4wxwh9gLExRpATxgdy\nwxhBbhgjyElxjw83N7cc2/MVWqZMmaIDBw7o22+/la2trWV73759LT83atRITZs2VZMmTbR161b1\n7Nkz2+OZzWbZ2NhY3t/9891yqjGbzTnuK+V+EQpbfHx8sfcBxsYYQU4YH8gNYwS5YYwgJyVhfOT5\n9rDJkyfr66+/VlhYmGrXrp1jbfXq1eXi4qITJ05IkhwdHZWWlqbk5GSruvPnz1tmVxwdHS0zKhmS\nk5OVlpaWY8358+dVqlQpVa1aNa+nAgAAAKAEydNMy8SJE7V+/Xp98803euKJJ3KtT05O1rlz5ywL\n85s2barSpUsrPDxc/fr1kySdOXNGcXFx8vT0lCR5eHjon//8p86cOaMaNWpIksLDw1W2bFk1bdrU\nUrN582arzwoPD1ezZs1UunTpPJ5y0WsZWV6KPJNlW4pvjSLuDQAAAFCy5DrTMm7cOK1evVpLliyR\nyWRSYmKiEhMTlZqaKumvhfnvv/++oqOjdfLkSUVERGjAgAFycHBQ9+7dJUmVK1fWa6+9pmnTpmn3\n7t06cuSIhg8frkaNGlnWqHTs2FHu7u4aMWKEjhw5ot27d2vatGl6/fXXValSJUmSr6+vzp49q0mT\nJikuLk5ffvmlVq9erVGjRhXS5QEAAABQ3HKdaVmyZIkkZXqk8MSJEzV58mTZ2toqNjZWa9as0aVL\nl+Tk5KS2bdtq+fLlevTRRy31n3zyiWxtbeXr66sbN26oXbt2+vzzzy1rY2xtbbV27VqNGzdOL7zw\ngsqVKydvb2/NmDHDcozatWsrODhYU6ZM0bJly+Ts7KzAwEAedwwAAAA8wGxSUlLMxd2JB51peda3\nhkncHoa/lIQFcCg+jA/khjGC3DBGkJOSMD7y/T0tAAAAAFCUCC0AAAAADI3QAgAAAMDQCC0AAAAA\nDI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0A\nAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQ\nCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAA\nAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3Q\nAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAA\nDI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQcg0ts2fPVocOHfTYY4+pbt268vHxUWxsrFWN2WxWQECA\nGjRoIGdnZ3Xr1k3Hjh2zqklJSdGwYcPk6uoqV1dXDRs2TCkpKVY1R48e1YsvvihnZ2e5u7srMDBQ\nZrPZqiY0NFSenp5ydHSUp6enNm3adK/nDgAAAKAEyDW0REZGasiQIdq6davCwsJUqlQpvfTSS7p4\n8aKlZu7cuVqwYIECAwO1a9cuOTg4qHfv3rpy5YqlZujQoYqJiVFISIjWrVunmJgYDR8+3NJ++fJl\n9e7dW46Ojtq1a5dmzpypefPmaf78+Zaa6OhoDR48WP369VNERIT69eunQYMG6fDhwwV1PQAAAAAY\nTKncCtavX2/1ftGiRXJ1ddWBAwfUtWtXmc1mBQUF6Z133lGvXr0kSUFBQXJzc9O6devk6+uruLg4\n7dixQ99++608PT0lSZ999pm6du2q+Ph4ubm5KSQkRNevX1dQUJDs7OzUsGFDHT9+XAsXLtSoUaNk\nY2OjoKAgtW3bVuPGjZMk1a9fXxEREQoKCtLSpUsL+toAAAAAMIB8r2lJTU1Venq6TCaTJOnkyZNK\nTExUx44dLTV2dnZq3bq1Dh48KOmvGZKKFStaAoskPfPMM6pQoYJVTatWrWRnZ2ep8fLy0rlz53Ty\n5ElJ0qFDh6w+J6Mm4xgAAAAAHjy5zrT83aRJk9SkSRN5eHhIkhITEyVJDg4OVnUODg46d+6cJCkp\nKUn29vaysbGxtNvY2KhatWpKSkqy1Li4uGQ6RkZb7dq1lZiYmOXnZBwjO/Hx8fk9zQJWPtuW4u8b\njIKxgJwwPpAbxghywxhBTop7fLi5ueXYnq/QMmXKFB04cEDffvutbG1trdruDiTSX4vz/x5S/i63\nmoxF+LnVZHXsu+V2EQpd5Jlsm4q9bzCEjNskgawwPpAbxghywxhBTkrC+Mjz7WGTJ0/W119/rbCw\nMNWuXduy3cnJSZIyzXacP3/eMivi6Oio8+fPWz0JzGw2Kzk52aomq2NI/zfj4uTklOPnAAAAAHjw\n5Cm0TJw4UevWrVNYWJieeOIJq7ZatWrJyclJ4eHhlm03btxQVFSUZQ2Lh4eHUlNTFR0dbamJjo7W\n1atXrWqioqJ048YNS014eLiqV6+uWrVqSZJatmxp9TkZNXevlQEAAADwYMk1tIwbN06rV6/WkiVL\nZDKZlJiYqMTERKWmpkr663YtPz8/zZkzR2FhYYqNjZW/v78qVKggb29vSX895atTp04aM2aMDh06\npOjoaI0ZM0ZdunSxTEV5e3vLzs5O/v7+io2NVVhYmObMmSN/f3/L7V8jRozQ3r17NXv2bB0/flyz\nZ89WRESE/Pz8Cuv6AAAAAChmua5pWbJkiSRZHmecYeLEiZo8ebIk6e2339b169c1fvx4paSk6Omn\nn9b69ev16KOPWuoXL16siRMnqk+fPpKkrl276tNPP7W0V65cWRs2bNC4cePUoUMHmUwmjRw5UqNG\njbLUeHp6atmyZZoxY4YCAgL0+OOPa9myZWrRosV9XAIAAAAARmaTkpJizr0M98O0PPuF+Cm+NYqw\nJzCqkrAADsWH8YHcMEaQG8YIclISxke+v6cFAAAAAIoSoQUAAACAoRFaAAAAABgaoQUAAACAoRFa\nAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACA\noRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUA\nAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABga\noQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAA\nABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFa\nAAAAABgaoQUAAACAoRFaAAAAABhankLLvn37NGDAALm7u8tkMmnVqlVW7X5+fjKZTFavTp06WdXc\nvHlT48ePV506deTi4qIBAwbozJkzVjWnT5+Wj4+PXFxcVKdOHU2YMEG3bt2yqomMjNRzzz0nJycn\nPfXUU1q2bNm9nDcAAACAEiJPoeXq1atq2LChZs6cKTs7uyxr2rdvr7i4OMsrJCTEqn3y5MnatGmT\nli5dqi1btujKlSvy8fFRWlqaJCktLU0+Pj5KTU3Vli1btHTpUoWFhem9996zHCMhIUH9+/eXh4eH\n9u7dq7Fjx2rChAkKDQ291/MHAAAAYHCl8lLUuXNnde7cWZLk7++fZU3ZsmXl5OSUZdulS5e0YsUK\nLViwQB06dJAkLVq0SE2aNNHu3bvl5eWlXbt26dixY/rxxx9Vs2ZNSdKHH36o0aNHa+rUqapUqZKW\nL18uZ2dnzZo1S5JUv359HT58WPPnz1evXr3yd+YAAAAASoQCW9MSFRWlevXq6emnn9bo0aP1559/\nWtp++OEH3b59Wx07drRsq1mzpurXr6+DBw9KkqKjo1W/fn1LYJEkLy8v3bx5Uz/88IOl5u5jZNR8\n//33un37dkGdCgAAAAADydNMS246deqkHj16qFatWjp16pRmzJihnj17avfu3SpbtqySkpJka2sr\ne3t7q/0cHByUlJQkSUpKSpKDg4NVu729vWxtba1q2rdvn+kYd+7cUXJyspydnbPsX3x8fEGc5n0o\nn21L8fcNRsFYQE4YH8gNYwS5YYwgJ8U9Ptzc3HJsL5DQ0rdvX8vPjRo1UtOmTdWkSRNt3bpVPXv2\nzHY/s9ksGxsby/u7f75bTjVmsznHfaXcL0KhizyTbVOx9w2GEB8fz1hAthgfyA1jBLlhjCAnJWF8\nFMojj6tXry4XFxedOHFCkuTo6Ki0tDQlJydb1Z0/f94yu+Lo6GiZUcmQnJystLS0HGvOnz+vUqVK\nqWrVqoVxKgAAAACKWaGEluTkZJ07d86yML9p06YqXbq0wsPDLTVnzpxRXFycPD09JUkeHh6Ki4uz\negxyeHi4ypYtq6ZNm1pqdu/ebfVZ4eHhatasmUqXLl0YpwIAAACgmOUptKSmpiomJkYxMTFKT0/X\n77//rpiYGJ0+fVqpqal6//33FR0drZMnTyoiIkIDBgyQg4ODunfvLkmqXLmyXnvtNU2bNk27d+/W\nkSNHNHz4cDVq1MiyRqVjx45yd3fXiBEjdOTIEe3evVvTpk3T66+/rkqVKkmSfH19dfbsWU2aNElx\ncXH68ssvtXr1ao0aNapwrg4AAACAYpenNS3ff/+9evToYXkfEBCggIAADRw4ULNnz1ZsbKzWrFmj\nS5cuycnJSW3bttXy5cv16KOPWvb55JNPZGtrK19fX924cUPt2rXT559/LltbW0mSra2t1q5dq3Hj\nxumFF15QuXLl5O3trRkzZliOUbt2bQUHB2vKlClatmyZnJ2dFRgYyOOOAQAAgAeYTUpKirm4O/Gg\nMy3PfiF+im+NIuwJjKokLIBD8WF8IDeMEeSGMYKclITxUShrWgAAAACgoBBaAAAAABgaoQUAAACA\noRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUA\nAACAoRFaAAAAABgaoQUAAAD6axtUAAAgAElEQVSAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUA\nAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABga\noQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAA\nABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFa\nAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoRFaAAAAABgaoQUAAACAoeUptOzbt08DBgyQu7u7\nTCaTVq1aZdVuNpsVEBCgBg0ayNnZWd26ddOxY8esalJSUjRs2DC5urrK1dVVw4YNU0pKilXN0aNH\n9eKLL8rZ2Vnu7u4KDAyU2Wy2qgkNDZWnp6ccHR3l6empTZs23ct5AwAAACgh8hRarl69qoYNG2rm\nzJmys7PL1D537lwtWLBAgYGB2rVrlxwcHNS7d29duXLFUjN06FDFxMQoJCRE69atU0xMjIYPH25p\nv3z5snr37i1HR0ft2rVLM2fO1Lx58zR//nxLTXR0tAYPHqx+/fopIiJC/fr106BBg3T48OH7uQYA\nAAAADKxUXoo6d+6szp07S5L8/f2t2sxms4KCgvTOO++oV69ekqSgoCC5ublp3bp18vX1VVxcnHbs\n2KFvv/1Wnp6ekqTPPvtMXbt2VXx8vNzc3BQSEqLr168rKChIdnZ2atiwoY4fP66FCxdq1KhRsrGx\nUVBQkNq2batx48ZJkurXr6+IiAgFBQVp6dKlBXZRAAAAABjHfa9pOXnypBITE9WxY0fLNjs7O7Vu\n3VoHDx6U9NcMScWKFS2BRZKeeeYZVahQwaqmVatWVjM5Xl5eOnfunE6ePClJOnTokNXnZNRkHAMA\nAADAgydPMy05SUxMlCQ5ODhYbXdwcNC5c+ckSUlJSbK3t5eNjY2l3cbGRtWqVVNSUpKlxsXFJdMx\nMtpq166txMTELD8n4xjZiY+Pv4czK0jls20p/r7BKBgLyAnjA7lhjCA3jBHkpLjHh5ubW47t9x1a\nMtwdSKS/bhv7e0j5u9xqMhbh51aT1bHvlttFKHSRZ7JtKva+wRAybpMEssL4QG4YI8gNYwQ5KQnj\n475vD3NycpKkTLMd58+ft8yKODo66vz581ZPAjObzUpOTraqyeoY0v/NuDg5OeX4OQAAAAAePPcd\nWmrVqiUnJyeFh4dbtt24cUNRUVGWNSweHh5KTU1VdHS0pSY6OlpXr161qomKitKNGzcsNeHh4ape\nvbpq1aolSWrZsqXV52TU3L1WBgAAAMCDJU+hJTU1VTExMYqJiVF6erp+//13xcTE6PTp07KxsZGf\nn5/mzJmjsLAwxcbGyt/fXxUqVJC3t7ekv57y1alTJ40ZM0aHDh1SdHS0xowZoy5dulimory9vWVn\nZyd/f3/FxsYqLCxMc+bMkb+/v+X2rxEjRmjv3r2aPXu2jh8/rtmzZysiIkJ+fn6FdHkAAAAAFLc8\nhZbvv/9e7dq1U7t27XT9+nUFBASoXbt2+uSTTyRJb7/9tvz9/TV+/Hh16NBBf/zxh9avX69HH33U\ncozFixercePG6tOnj/r27avGjRtr0aJFlvbKlStrw4YNOnfunDp06KDx48dr5MiRGjVqlKXG09NT\ny5Yt01dffaU2bdpozZo1WrZsmVq0aFFQ1wMAAACAwdikpKSYcy/D/TAtz34hfopvjSLsCYyqJCyA\nQ/FhfCA3jBHkhjGCnJSE8XHfa1oAAAAAoDARWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKER\nWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAA\ngKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEF\nAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAY\nGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAA\nAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKERWgAAAAAYGqEFAAAAgKER\nWgAAAAAYGqEFAAAAgKEVSGgJCAiQyWSyej3xxBOWdrPZrICAADVo0EDOzs7q1q2bjh07ZnWMlJQU\nDRs2TK6urnJ1ddWwYcOUkpJiVXP06FG9+OKLcnZ2lru7uwIDA2U2mwviFAAAAAAYVIHNtLi5uSku\nLs7y2r9/v6Vt7ty5WrBggQIDA7Vr1y45ODiod+/eunLliqVm6NChiomJUUhIiNatW6eYmBgNHz7c\n0n758mX17t1bjo6O2rVrl2bOnKl58+Zp/vz5BXUKAAAAAAyoVIEdqFQpOTk5ZdpuNpsVFBSkd955\nR7169ZIkBQUFyc3NTevWrZOvr6/i4uK0Y8cOffvtt/L09JQkffbZZ+ratavi4+Pl5uamkJAQXb9+\nXUFBQbKzs1PDhg11/PhxLVy4UKNGjZKNjU1BnQoAAAAAAymwmZaEhAS5u7vrySef1ODBg5WQkCBJ\nOnnypBITE9WxY0dLrZ2dnVq3bq2DBw9KkqKjo1WxYkVLYJGkZ555RhUqVLCqadWqlezs7Cw1Xl5e\nOnfunE6ePFlQpwEAAADAYApkpqVFixZauHCh3NzcdP78ec2aNUudO3fWgQMHlJiYKElycHCw2sfB\nwUHnzp2TJCUlJcne3t5qtsTGxkbVqlVTUlKSpcbFxSXTMTLaateunW3/4uPj7/sc70/5bFuKv28w\nCsYCcsL4QG4YI8gNYwQ5Ke7x4ebmlmN7gYSW559/3up9ixYt1LRpU61evVotW7aUpEy3b5nN5kwh\n5e9yq8lYhJ/brWG5XYRCF3km26Zi7xsMIeM2SCArjA/khjGC3DBGkJOSMD4K5ZHHFStWVIMGDXTi\nxAnLOpeMGZMM58+ft8yUODo66vz581ZPAjObzUpOTraqyeoYUuZZHAAAAAAPjkIJLTdu3FB8fLyc\nnJxUq1YtOTk5KTw83Ko9KirKsobFw8NDqampio6OttRER0fr6tWrVjVRUVG6ceOGpSY8PFzVq1dX\nrVq1CuM0AAAAABhAgYSW999/X5GRkUpISNDhw4f1xhtv6Nq1axo4cKBsbGzk5+enOXPmKCwsTLGx\nsfL391eFChXk7e0tSapfv746deqkMWPG6NChQ4qOjtaYMWPUpUsXy1SVt7e37Ozs5O/vr9jYWIWF\nhWnOnDny9/fnyWEAAADAA6xA1rScPXtWQ4cOVXJysqpVq6YWLVpo+/btcnV1lSS9/fbbun79usaP\nH6+UlBQ9/fTTWr9+vR599FHLMRYvXqyJEyeqT58+kqSuXbvq008/tbRXrlxZGzZs0Lhx49ShQweZ\nTCaNHDlSo0aNKohTAAAAAGBQNikpKXylfCEzLc9+IX6Kb40i7AmMqiQsgEPxYXwgN4wR5IYxgpyU\nhPFRKGtaAAAAAKCgEFoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAICh\nEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAA\nAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqhBQAAAIChEVoAAAAAGBqh\nBQAAAIChlSruDgB3My0/k21bim+NIuwJAAAAjIKZFgAAAACGRmgBAAAAYGjcHoYHXna3nHG7GQAA\nQMlAaMEDIae1MAAAACjZCC14aN1r0GGGBgAAoGixpgUAAACAoTHTghKDW8AAAAAeToQWoADxPTMA\nAAAFj9vDAAAAABgaoQUAAACAoRFaAAAAABgaa1pQ5FhQn1nLyPJSZObrwjoYAAAAZloAAAAAGByh\nBQAAAIChcXsYUEIVxuOVeWQzAAAwIkILgEJDCAIAAAWB28MAAAAAGBozLQDyJLtZk8KYMWGGBgAA\n3I3QAuCBRwgCAKBkI7QADyB+SQcAAA8SQgsKBV8gCRSc7L58VCKEAgAeDiUytCxZskT/+te/lJiY\nqAYNGiggIECtW7cu7m4BBY7wZ1zMZgEAUHRK3NPD1q9fr0mTJundd9/V3r175eHhoX79+un06dPF\n3TUAAAAAhaDEzbQsWLBAL7/8st544w1J0qxZs7Rz504tW7ZM06dPL+bePXyYCQAyM8oszL32oyif\nFHevSkIfAQAFxyYlJcVc3J3Iq1u3bql69epaunSpXnrpJcv2cePGKTY2Vlu2bCnG3gEAAAAoDCXq\n9rDk5GSlpaXJwcHBaruDg4OSkpKKqVcAAAAAClOJCi0ZbGxsrN6bzeZM2wAAAAA8GEpUaLG3t5et\nrW2mWZXz589nmn0BAAAA8GAoUaGlTJkyatq0qcLDw622h4eHy9PTs5h6BQAAAKAwlbinh40cOVLD\nhw/X008/LU9PTy1btkx//PGHfH19i7trAAAAAApBiZppkaQ+ffooICBAs2bNUtu2bXXgwAEFBwfL\n1dW12Pq0ZMkSPfnkk3JyctJzzz2n/fv351gfGRmp5557Tk5OTnrqqae0bNmyIuopikN+xscff/yh\noUOHqmXLlqpatar8/PyKsKcoLvkZI2FhYerdu7fq1q2rmjVrysvLiycnPgTyM0YiIyPVuXNnPf74\n43J2dlbLli01b968Iuwtilp+fw/JEBUVJXt7e7Vq1aqQe4jilp8xEhERIZPJlOl1/PjxIuxxZiUu\ntEjS0KFD9eOPPyopKUl79uxRmzZtiq0v+f2yy4SEBPXv318eHh7au3evxo4dqwkTJig0NLSIe46i\nkN/xcfPmTVWtWlXvvPOOWrRoUcS9RXHI7xjZt2+f2rVrp+DgYO3du1fPP/+8Xn311Tz/koKSJ79j\npGLFiho+fLi2bNmiAwcOaNy4cQoICNCSJUuKuOcoCvf6pdspKSkaMWKEnnvuuSLqKYrLvY6RAwcO\nKC4uzvKqW7duEfU4ayXqe1qMyMvLS40aNdK//vUvy7bmzZurV69eWX7Z5fTp07Vp0yZ99913lm1v\nvfWWfv75Z23fvr1I+oyik9/xcTcfHx9VrVpVQUFBhd1NFKP7GSMZOnbsqFatWunjjz8urG6iGBXE\nGHn11VdVtmxZLV26tLC6iWJyr+Pj1VdfVePGjWU2mxUWFqaoqKii6C6KQX7HSEREhHr06KFff/1V\n9vb2RdnVHJXImRajuHXrln744Qd17NjRanvHjh118ODBLPeJjo7OVO/l5aXvv/9et2/fLrS+oujd\ny/jAw6WgxkhqaqpMJlNBdw8GUBBj5MiRI4qOji7WuxJQOO51fCxZskRJSUkaP358YXcRxex+/g1p\n37696tevr549e2rv3r2F2c08KXEL8Y3kXr7sMikpSe3bt89Uf+fOHSUnJ8vZ2bmwuosixpehIjcF\nMUYWL16ss2fPysfHpzC6iGJ2P2OkYcOGOn/+vO7cuaOJEydq8ODBhdlVFIN7GR9Hjx5VYGCgtm/f\nLltb26LoJorRvYwRZ2dnzZ49W82bN9etW7e0du1a9erVS998802x/vGD0FIA8vtll1nVZ7UdDwa+\nDBW5udcxEhoaqmnTpmnp0qXF+jASFL57GSNbtmzR1atXdfjwYU2fPl21atXSgAEDCrObKCZ5HR83\nb97UkCFD9NFHH6l27dpF1DsYQX7+DXFzc5Obm5vlvYeHh06dOqV58+YRWkqqe/myS0dHxyzrS5Uq\npapVqxZaX1H0+DJU5OZ+xkhoaKhGjBihzz//XC+++GJhdhPF6H7GSMYvpY0aNVJSUpJmzpxJaHnA\n5Hd8/PHHH/r55581cuRIjRw5UpKUnp4us9kse3t7hYSEZLqNCCVbQf0u8vTTT2v9+vUF3b18YU3L\nfbiXL7v08PDQ7t27M9U3a9ZMpUuXLqyuohjwZajIzb2OkQ0bNmj48OFauHChevXqVdjdRDEqqH9H\n0tPTdevWrYLuHopZfseHi4uL9u/fr4iICMtr8ODBqlOnjiIiIuTh4VFUXUcRKah/Q3788Uc5OTkV\ndPfyhZmW+5Tbl10OHz5ckrRo0SJJkq+vrxYvXqxJkybJ19dXBw8e1OrVq3kU5QMqv+NDkmJiYiRJ\nly9flo2NjWJiYlSmTBk1aNCg6E8AhS6/Y+Trr7/W8OHD9dFHH6l169ZKTEyU9Nf/mKpUqVI8J4FC\nld8xsmjRItWqVctye8e+ffs0f/58DRkypHhOAIUqP+OjdOnSatiwodX+1apVU9myZTNtx4Mjv/+G\nLFy4UK6urnJ3d9etW7cUHByszZs368svvyy2c5AILfetT58+unDhgmbNmqXExES5u7tbfdnl77//\nblVfu3ZtBQcHa8qUKVq2bJmcnZ0VGBjIX0sfUPkdH5LUrl07q/fffvutHnvsMf34449F0mcUrfyO\nkWXLlunOnTuaPHmyJk+ebNnepk0bbd68uUj7jqKR3zGSlpamDz74QKdOnVKpUqVUu3ZtTZ8+nYX4\nD6h7+f8MHi75HSO3b9/W1KlTde7cOZUrV85S37lz5+LovgXf0wIAAADA0FjTAgAAAMDQCC0AAAAA\nDI3QAgAAAMDQCC0AAAAADI3QAgAAAMDQCC0AAAAADI3QAgDI1cmTJ2UymbRq1aoCPa6fn5+aNGli\nta1Jkyby8/O7p+Pdz74AAOMitAB46KxatUomk0kmk0lRUVFZ1jRr1kwmk0ndunUr4t49OH777TeZ\nTCZVrVpVZ8+eLe7u3JOAgADLWPn7a968ecXdPQB4aJQq7g4AQHEpV66cQkJC1KpVK6vthw4d0m+/\n/aZy5coVU88eDGvXrpW9vb1u3LihdevWafTo0cXdpXs2a9YsVapUyWpb06ZNi6k3APDwIbQAeGg9\n//zz2rhxowIDA1W6dGnL9pCQELm5ualUqZL/T+S1a9dUvnz5YvnskJAQ9e7dW5cuXdLatWtLdGjp\n2bOnnJyc8lyflpamO3fuqGzZsoXYKwB4eHB7GICHlre3ty5evKidO3datqWlpWnDhg3q169flvuY\nzWYtWrRIrVu3lpOTk+rVq6dRo0YpOTnZqm7Lli3y8fFRw4YN5ejoqMaNG2vq1Km6ceOGVV1SUpLe\neustNWrUSI6OjnJzc5O3t7eOHTtmqTGZTAoICMjUl7+v38i47W3Pnj2aMGGC3Nzc5OLiYmm/dOmS\npkyZosaNG8vBwUFPPfWUPv30U6WlpVkdNyUlRX5+fnJ1dZWrq6tGjBihS5cu5eGK/p/Dhw/r119/\nVZ8+fdS3b18dPXpUsbGx+TrG3W7evKmZM2eqefPmcnR0lLu7uyZPnqxr164V6r55ceLECcvtYkFB\nQWrWrJkcHR313XffSZLS09O1cOFCtWrVyjJm3nrrLV24cMHqOOnp6QoMDJS7u7tcXFzUo0cPxcXF\nqWHDhnrrrbcsdTNmzJC9vX2mfnz55ZcymUw6c+aM1fbt27era9eucnFxUc2aNeXt7a2ffvrJqmbY\nsGGqUaOGfv/9dw0YMEA1atRQ3bp1NX36dKWnp2fq5+eff642bdrI2dlZderUUe/evXXw4EFJkpeX\nl5577rksr1Xr1q31wgsv5PHKAsD/Kfl/RgSAe+Ti4qJWrVpp3bp1ll+kdu/erT///FP9+vXThg0b\nMu0zduxYrVixQgMHDtSbb76pM2fO6IsvvtB3332nXbt2WW4pW7VqlcqWLavhw4erUqVKOnTokBYu\nXKgzZ85o2bJlluO98cYbOnr0qIYNGyZXV1clJydr3759+uWXX+Tu7n5P5zVx4kSZTCa9++67unz5\nsiTp+vXr6tGjh06dOqXBgwfL1dVV//vf/zRz5kydPn3asj7DbDbr5Zdf1oEDB+Tr66v69etry5Yt\n+V7cvnbtWtWoUUOtWrXSnTt3VKVKFQUHB+uDDz7I9/mYzWa9+uqrioyM1Ouvvy53d3fFxcVp6dKl\n+vnnn7V+/XrZ2NgU+L53u3jxotXM2yOPPKIqVapY1axatUrXrl3ToEGDVL58eTk6OkqS3n77bX31\n1Vd6+eWXNWzYMP3+++/64osv9P3332vnzp2W2ZiPPvpIn332mbp06aJOnTrpyJEj6tu3732FqzVr\n1sjPz09eXl6aPn26bt68qeXLl6tr167avXu36tata6lNS0uTt7e3PDw89NFHH2nXrl2aO3eu6tSp\nozfeeMNSN2rUKK1evVqdOnXSq6++qrS0NB08eFBRUVHy9PTUwIEDNW7cOP38889q0KCBZb+M4PrZ\nZ5/d8/kAeHgRWgA81Pr166f33ntPV69eVYUKFRQcHKwWLVro8ccfz1R78OBBLV++XEFBQRo4cKBl\nu5eXl7p27ao1a9Zo0KBBkqTFixdb3Zbl6+urunXrasaMGfrHP/6hmjVr6tKlS4qKitJHH31k9Zf0\nMWPG3Nc5VahQQd98843VL9kLFy5UfHy89uzZoyeeeEKSNGjQINWqVUszZszQ6NGj5ebmpi1btmj/\n/v368MMP9fbbb0uShg4dqp49e+b58+/cuaONGzfKx8dHNjY2Kl26tHr27Kl169Zp+vTpeQoJd1u3\nbp127NihTZs26dlnn7Vsb9asmYYNG6bw8HB17NixwPe92zPPPGP1vmrVqjpx4oTVtjNnzuh///uf\nJaxI0r59+7RixQotXrzYavauQ4cO6t69u4KDg/Xaa68pKSlJ8+bNU9euXbV69WrLNfrHP/6h2bNn\n59q/rFy5ckUTJkzQ66+/rrlz51q2v/rqq2rRooU+/fRTLVq0yLL9xo0b6tevn959911J0uDBg9Wm\nTRutWLHCElp2796t1atXa/jw4QoMDLTsO2rUKJnNZklS3759NWXKFAUHB2vatGmWmrVr16pMmTLq\n3bv3PZ0PgIcbt4cBeKi99NJLun37tjZv3qzr169ry5Yt2d4atmHDBlWsWFGdOnVScnKy5fXEE0/I\n0dFRERERltqMwJKenq5Lly4pOTlZzzzzjMxms44cOSLprwcBlClTRpGRkbp48WKBndMbb7yRaT3O\nhg0b9Mwzz8je3t6q7+3bt5ckRUZGSvrrVqJHHnlEgwcPtuz7yCOP6M0338zz5+/cuVN//vmnvL29\nLdv69u2r33//Xfv27cv3+WzYsEH16tWTu7u7Vd/btGkjGxsbq+tekPve7d///rc2btxoea1YsSJT\nTffu3a0CiyRt3LhRlSpVUocOHaw+393dXVWrVrV8/q5du3Tnzh29+eabVqFu+PDheepfVnbt2qXL\nly+rb9++Vp9tNpvl6elp+W9+t7tnVCSpVatWSkhIsLwPDQ2VjY2NJk2alGnfjH5XqVJFXbp0UXBw\nsCXIpKen6+uvv1aXLl1kMpnu+ZwAPLyYaQHwUKtSpYo6duyokJAQlSpVSteuXcv2L8G//vqrUlNT\n5ebmlmX7n3/+afk5NjZW06dPV2RkpK5fv25Vl3HLVtmyZfXBBx9o6tSpcnNzU4sWLfT888/Lx8dH\nNWvWvOdzql27dpZ9/+mnn6xuB8qq76dPn5aTk5MeffRRq/bs9stKcHCwqlevrkqVKllmI1xcXGQy\nmRQcHGw145EXv/76q+Lj43Pte0Hve7eM9Sg5yWp27pdfftHly5dVr169LPc5f/68pL+uuyTVqVPH\nqj2r/xZ59csvv0hStrNkZcqUsXpfrlw5VatWzWqbyWRSSkqK5f1vv/2m6tWrZ7o17u8GDhyoTZs2\nad++fXr22WcVERGhM2fOWM3OAEB+EFoAPPT69eunESNG6MqVK2rfvn2mv5ZnSE9PV9WqVa3WpNwt\n4y/Ily5dUo8ePVS+fHm9//77qlOnjuzs7HT27Fn5+/tbLWz29/fXiy++qC1btmj37t2aNWuWZs+e\nrTVr1qht27Y59vvvC6Qz2NnZZVnbrl07jR07Nst9MoJOxl/G/y677X+Xmpqq//73v7p27ZqaN2+e\nqT00NFSzZs3K11O10tPT1aBBA82cOTPLdmdn50LZN7+yu+4ODg7/v727DWmqDeMA/p8tl6a0omWW\nmtMvIpkJRlrkW63QQl2irsIiMkolSTLKiF5MCLJlLGKIlcq0xZJ86QWTzNgygiCM3ghEqDBMiESH\nobXt+fCwg3Nbz0QfHnn6/8BP57rPuXe8P5zr3Pd1H9TU1LhsY3/49/T+/s7kDRXs46O6utplwjV5\nmd6cOXNcnndi3zztp0KhwOLFi4Uk1WAwYOHChdi8ebNH7YmIJmPSQkR/vLS0NEgkEjx//hxardZt\nnFwuR1dXF2JjY+Hn5+c2zmQy4du3b6ivr3eYVejq6nIZHxoaisLCQhQWFqK/vx8bNmyAWq0Wkhap\nVOq0e9f4+DgGBgY8/o1yuRxms1lYDuZOSEgInjx5gpGREYc3/JPrN9xpa2vD6OgoLl68CJlM5nCs\nv78fJ06cwMOHD6dUIyOXy9HT04PExMQp18NMp+1MkMvlePr0KdauXesyqbELCQkB8Pd9njhT9vXr\nV4yMjDjESqVSWCwWmM1mh3Fon62ZeG0AkMlk//h/91RYWBiMRiO+f//+29mWuXPnIisrC3q9HuXl\n5bh79y6ys7OdZneIiDzFmhYi+uP5+vpCrVbj2LFj2LZtm9s4pVIJq9WKCxcuOB2zWCzCMhr7G+uJ\nb6WtViuuXr3q0GZ0dNRp6djy5cshk8kckhS5XI5nz545xNXW1jq9Wf8dpVKJly9foqOjw+nYyMgI\nxsbGAPz9htxqtTrMJlmtVly7ds2j6xgMBgQHByM/Px8ZGRkOfwUFBVi6dCkMBoPH/bb3fXBwENev\nX3c6NjY25vRQP1NtZzpy6ZIAAAQ0SURBVIJSqYTFYkFlZaXTsV+/fgljJjk5GWKxGDU1NQ7jZmKh\nvJ09GZk4JsxmM27duuUQt2nTJvj7+0OtVuPnz59O57EvTZuKjIwM2Gw2lzNXk2dhduzYgeHhYZSU\nlGB4eBgqlWrK1yMisuNMCxER4NED1fr167F//35oNBq8ffsWKSkpkEgk6OvrQ1tbG8rKyrBr1y7E\nxcVh0aJFKCgowIEDByAWi9HW1gaz2exwvt7eXqSnpyMzMxMRERGQSCTo6OjAhw8fcO7cOSFu9+7d\nKCkpQV5eHpKTk/HmzRt0dna6/FaHO8XFxWhvb8fOnTuhUqkQExODHz9+4P3792htbUV3dzdWrFiB\n1NRUxMfH4+zZs/j06RMiIiJw//59p2+KuDIwMACTyeRQxD+RSCTCli1boNfrMTQ05HFBdm5uLlpb\nW1FaWoru7m5hQ4Pe3l40Nzejrq7O7VK66bSdCYmJidi7dy8uXbqE169fIykpCd7e3sKYOXXqFHJz\ncxEQEIDCwkJoNBqoVCooFAq8evUKjx8/drpPCoUCy5YtQ1FREQ4dOgSRSASdToclS5bgy5cvQpxU\nKoVarcbBgweRkJCArKwsyGQyfP78GY8ePUJUVJSw1bWnkpKSkJOTg+rqavT19SElJQU2mw0vXrxA\ndHQ0Dh8+LMSuXr0akZGRaG5uRlhYGNasWTO9m0lEfzQmLUREU1BZWYlVq1ahtrYWFRUVEIvFCAoK\nQmZmJhISEgBA+CbJyZMncf78ecyfPx/p6enCFrJ2QUFByM7OhtFoRFNTE0QiEcLDw3HlyhXk5eUJ\ncXv27MHHjx+h0+nQ2dmJ+Ph4tLS0TGmJlY+PD+7du4eqqio0NzfDYDDAz88P4eHhOHr0qFDz4OXl\nhZs3b+L48eO4ffs2ACA1NRXl5eXC73OnqakJFosFqampbmPS0tJQX1+PlpYWYXvof+Ll5YWGhgZo\ntVro9Xo8ePAA8+bNQ2hoKPbt24eVK1f+K21nSlVVFWJiYnDjxg1hzAQHB2P79u0OywfPnDkDHx8f\n1NXVwWg0IjY2Fnfu3HHaGMLb2xuNjY0oLS1FRUUFAgICUFRUBF9fXxQXFzvE5uTkIDAwEJcvX4ZG\no8H4+DgCAwMRFxfntFOYp7RaLaKiotDQ0IDTp0/D398f0dHRWLdunVOsSqUSEjMioukQDQ0NTb/6\nj4iIiP4VkZGR2Lhx45RnRWYDrVaLsrIy9PT0uNzVjojIU6xpISIiohlns9mg0+kQHx/PhIWIpo3L\nw4iIiGjGmM1mtLe3w2Qy4d27d2hsbPyvu0RE/wNMWoiIiGjGDA4OIj8/HwsWLMCRI0ewdevW/7pL\nRPQ/wJoWIiIiIiKa1VjTQkREREREsxqTFiIiIiIimtWYtBARERER0azGpIWIiIiIiGY1Ji1ERERE\nRDSrMWkhIiIiIqJZ7S8f8wcBgXYSDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65994bf898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_nonzeros = df[df['Measured Allele Frequency'] > 0]\n",
    "proportion_non_zeros = len(df_nonzeros) / len(df)\n",
    "\n",
    "display(Markdown(f'{(1-proportion_non_zeros)*100:0.2f}% are AF = 0'))\n",
    "display(Markdown(f'Minimum non zero AF = {df_nonzeros[\"Measured Allele Frequency\"].min():0.03f}'))\n",
    "\n",
    "graph.figure(figsize=(12, 5))\n",
    "graph.title(f'{(1-proportion_non_zeros)*100:0.2f}% are Zero')\n",
    "graph.hist(df['Measured Allele Frequency'], bins=100)\n",
    "graph.xlabel('Measured Allele Frequency')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3YAAAIMCAYAAAC5Yz6eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65335ba358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Posterior\n",
    "pm.plot_posterior(sample_trace, point_estimate='median')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solving for All Many Allele Frequencies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.0 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1903.20it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.05 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:06<00:00, 1785.92it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.1 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1872.72it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.15000000000000002 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1868.74it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.2 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1822.13it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.25 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:06<00:00, 1779.54it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.30000000000000004 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1856.20it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.35000000000000003 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1819.67it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.4 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:06<00:00, 1797.99it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.45 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 2007.24it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.5 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1870.53it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.55 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1968.19it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.6000000000000001 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 2085.06it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.65 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1907.18it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.7000000000000001 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 2090.52it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.75 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 2122.17it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.8 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:06<00:00, 1754.70it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.8500000000000001 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 1867.66it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.9 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:06<00:00, 1769.26it/s]\n"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 0.9500000000000001 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████▉| 10903/10916 [00:05<00:00, 2169.02it/s]\n",
      "100%|██████████| 10916/10916 [00:05<00:00, 1980.06it/s]"
     ]
    },
    {
     "data": {
      "text/markdown": [
       "Hyperparameters: $AF$ = 1.0 $N_d$ = 12 with 250000.0 posterior samples"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 10916/10916 [00:05<00:00, 2124.20it/s]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.00</th>\n",
       "      <th>0.05</th>\n",
       "      <th>0.10</th>\n",
       "      <th>0.15</th>\n",
       "      <th>0.20</th>\n",
       "      <th>0.25</th>\n",
       "      <th>0.30</th>\n",
       "      <th>0.35</th>\n",
       "      <th>0.40</th>\n",
       "      <th>0.45</th>\n",
       "      <th>...</th>\n",
       "      <th>0.55</th>\n",
       "      <th>0.60</th>\n",
       "      <th>0.65</th>\n",
       "      <th>0.70</th>\n",
       "      <th>0.75</th>\n",
       "      <th>0.80</th>\n",
       "      <th>0.85</th>\n",
       "      <th>0.90</th>\n",
       "      <th>0.95</th>\n",
       "      <th>1.00</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.214286</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.187500</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>0.312500</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.411765</td>\n",
       "      <td>0.375000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.600000</td>\n",
       "      <td>0.545455</td>\n",
       "      <td>0.588235</td>\n",
       "      <td>0.692308</td>\n",
       "      <td>0.785714</td>\n",
       "      <td>0.687500</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.090909</td>\n",
       "      <td>0.076923</td>\n",
       "      <td>0.076923</td>\n",
       "      <td>0.416667</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.400000</td>\n",
       "      <td>0.461538</td>\n",
       "      <td>0.363636</td>\n",
       "      <td>0.473684</td>\n",
       "      <td>...</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.571429</td>\n",
       "      <td>0.666667</td>\n",
       "      <td>0.692308</td>\n",
       "      <td>0.923077</td>\n",
       "      <td>0.842105</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>0.846154</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>0.181818</td>\n",
       "      <td>0.058824</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.125000</td>\n",
       "      <td>0.222222</td>\n",
       "      <td>0.578947</td>\n",
       "      <td>...</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.357143</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.625000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.923077</td>\n",
       "      <td>0.769231</td>\n",
       "      <td>0.866667</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.055556</td>\n",
       "      <td>0.380952</td>\n",
       "      <td>0.235294</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.083333</td>\n",
       "      <td>0.333333</td>\n",
       "      <td>0.357143</td>\n",
       "      <td>0.454545</td>\n",
       "      <td>0.461538</td>\n",
       "      <td>...</td>\n",
       "      <td>0.583333</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.769231</td>\n",
       "      <td>0.846154</td>\n",
       "      <td>0.777778</td>\n",
       "      <td>0.642857</td>\n",
       "      <td>0.909091</td>\n",
       "      <td>0.928571</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.052632</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.312500</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>0.133333</td>\n",
       "      <td>0.214286</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.428571</td>\n",
       "      <td>0.615385</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.500000</td>\n",
       "      <td>0.833333</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.687500</td>\n",
       "      <td>0.857143</td>\n",
       "      <td>0.937500</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   0.00      0.05      0.10      0.15      0.20      0.25      0.30      0.35  \\\n",
       "0   0.0  0.000000  0.214286  0.000000  0.187500  0.250000  0.312500  0.142857   \n",
       "1   0.0  0.090909  0.076923  0.076923  0.416667  0.083333  0.400000  0.461538   \n",
       "2   0.0  0.000000  0.100000  0.181818  0.058824  0.222222  0.333333  0.125000   \n",
       "3   0.0  0.055556  0.380952  0.235294  0.000000  0.083333  0.333333  0.357143   \n",
       "4   0.0  0.066667  0.052632  0.142857  0.166667  0.312500  0.200000  0.133333   \n",
       "\n",
       "       0.40      0.45  ...       0.55      0.60      0.65      0.70      0.75  \\\n",
       "0  0.411765  0.375000  ...   0.600000  0.600000  0.545455  0.588235  0.692308   \n",
       "1  0.363636  0.473684  ...   0.700000  0.571429  0.666667  0.692308  0.923077   \n",
       "2  0.222222  0.578947  ...   0.333333  0.357143  1.000000  0.625000  0.833333   \n",
       "3  0.454545  0.461538  ...   0.583333  0.500000  0.769231  0.846154  0.777778   \n",
       "4  0.214286  0.500000  ...   0.428571  0.615385  0.500000  0.500000  0.833333   \n",
       "\n",
       "       0.80      0.85      0.90      0.95  1.00  \n",
       "0  0.785714  0.687500  1.000000  0.750000   1.0  \n",
       "1  0.842105  0.866667  0.846154  1.000000   1.0  \n",
       "2  0.833333  0.923077  0.769231  0.866667   1.0  \n",
       "3  0.642857  0.909091  0.928571  1.000000   1.0  \n",
       "4  0.700000  0.687500  0.857143  0.937500   1.0  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Size -> 525168\n",
      "CPU times: user 1min 48s, sys: 9.83 s, total: 1min 58s\n",
      "Wall time: 4min 16s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "af_array = np.arange(0, 1.05, 0.05)\n",
    "\n",
    "simulated_df = pd.DataFrame()\n",
    "for af_i in af_array:\n",
    "    _, res_i, _ = bayes_model(af_i, lam_drones_mated, mc_samples=250e3)\n",
    "    simulated_df[f'{af_i:0.2f}'] = res_i\n",
    "    \n",
    "display(simulated_df.head())\n",
    "print(f'Size -> {simulated_df.size}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA78AAAPbCAYAAACUhTzWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAq0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f65a4e77da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "af_string_order = [f'{x:0.2f}' for x in af_array]\n",
    "af_string_order.reverse()\n",
    "\n",
    "graph.rcParams['figure.figsize'] = (14,16)  # Cheat to change the figure size\n",
    "pjp.plot(\n",
    "    data=pd.melt(simulated_df), \n",
    "    x='value', hue='variable', order=af_string_order,\n",
    "    bins=100, kind='hist'\n",
    ")\n",
    "graph.ylabel('True Population AF')\n",
    "graph.xlabel('Colony AF')\n",
    "graph.xlim([-0.05, 1])\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Observed Frequencies with Prior on Allele Frequency\n",
    "\n",
    "Let's finally pwn this argument. The biology of these goddamn bees are 100% responsible for the shape of these curves. To do this we'll need 2 things.\n",
    "\n",
    "1. Empirical allele frequency spectrum\n",
    "2. Add another layer to the bayesian network to simulate the 50 worker bee genotypes\n",
    "\n",
    "Let's see if our Bayesian network can do an even better job by *actually* simulating drawing samples from the colony."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/stephen/miniconda3/lib/python3.6/site-packages/numpy/lib/arraysetops.py:463: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  mask |= (ar1 == a)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>af</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.250</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.238</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.190</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      af\n",
       "0       \n",
       "0  0.250\n",
       "1  0.143\n",
       "2  0.150\n",
       "3  0.238\n",
       "4  0.190"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.83 s, sys: 188 ms, total: 3.02 s\n",
      "Wall time: 3.02 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "af_spectrum = pd.read_csv('allele-freq-spectrum.csv', index_col=0, header=None)\n",
    "af_spectrum.columns = ['af']\n",
    "display(af_spectrum.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABA0AAAJXCAYAAAD4uK1GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wePkjWeZHqyYgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64fd289588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Undoing the cheat from above\n",
    "graph.rcParams['figure.figsize'] = (6, 4) \n",
    "\n",
    "graph.figure(figsize=(16, 9))\n",
    "graph.title('Emprical Allele Frequency Spectrum')\n",
    "graph.hist(af_spectrum['af'].sample(5000000), bins=100, normed=True)\n",
    "graph.xlabel('Allele Frequency')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Got this data from Arshad."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 640 ms, sys: 32 ms, total: 672 ms\n",
      "Wall time: 668 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "af_density, af_vals = np.histogram(af_spectrum['af'].sample(int(5e6)), bins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 139388/139388 [02:53<00:00, 803.24it/s] \n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAPgCAYAAAA80Z1EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64ef2622b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bayes model with Population AF as a prior\n",
    "with pm.Model() as complete_model:    \n",
    "    # Population AF\n",
    "    pop_af_rv = pm.Interpolated('Population AF', x_points=af_vals[:-1], pdf_points=af_density)\n",
    "    \n",
    "    # Drones\n",
    "    n_drones_rv = pm.Poisson('N Drones', mu=lam_drones_mated)\n",
    "    n_allele_drones = pm.Binomial('N Alleles Drones', n=n_drones_rv, p=pop_af_rv)\n",
    "\n",
    "    # Queen\n",
    "    n_allele_queen = pm.Categorical('N Alleles Queen', p=hwe(pop_af_rv))\n",
    "\n",
    "    # Deterministics\n",
    "    n_total_allele = pm.Deterministic('N', n_drones_rv + 2)  # 2 is number of alleles the queen contributes\n",
    "    n_alternate_allele = pm.Deterministic('N alt', n_allele_drones + n_allele_queen)\n",
    "    colony_af = pm.Deterministic('Colony Allele Frequency', n_alternate_allele / n_total_allele)\n",
    "\n",
    "    # Sample\n",
    "    trace = pm.sample(int(5e6 / 36), step=pm.Metropolis(), njobs=36)\n",
    "    trace = trace[::10]\n",
    "\n",
    "    pm.traceplot(trace, combined=True)\n",
    "    graph.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(500004, 7)\n"
     ]
    }
   ],
   "source": [
    "df_posterior = pm.trace_to_dataframe(trace)\n",
    "print(df_posterior.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABA0AAAJXCAYAAAD4uK1GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqV1dRBSDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64ef5f8828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Non zero allele frequencies\n",
    "graph.figure(figsize=(16, 9))\n",
    "graph.title('Colony Allele Frequency Data')\n",
    "graph.hist(\n",
    "    df_posterior[df_posterior['Colony Allele Frequency'] > 0]['Colony Allele Frequency'], \n",
    "    bins=250, normed=True\n",
    ")\n",
    "graph.xlabel('Allele Frequencies')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 500004/500004 [01:55<00:00, 4338.59it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(279128,)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# Simulate Pooled Samples\n",
    "results, pool_size = [], 50\n",
    "for _, row in tqdm(df_posterior.iterrows(), total=len(df_posterior)):\n",
    "    if row['Colony Allele Frequency'] == 0 or row['N Drones'] == 0:\n",
    "        continue\n",
    "    # SEX!!\n",
    "    maturnal = stats.bernoulli.rvs(p=row['N Alleles Queen'] / 2, size=pool_size)\n",
    "    paternal = stats.bernoulli.rvs(p=row['N Alleles Drones'] / row['N Drones'], size=pool_size)\n",
    "    \n",
    "    # Babies stolen\n",
    "    workers = (maturnal + paternal) / 2 \n",
    "    results.append(workers.mean())\n",
    "    \n",
    "results = np.array(results)\n",
    "print(results.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABA0AAAJXCAYAAAD4uK1GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64f385c4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Final Posterior (Considering Pool Size)\n",
    "graph.figure(figsize=(16, 9))\n",
    "graph.title(f'{pool_size} Sample Pool Draw Allele Frequencies')\n",
    "graph.hist(results, bins=250, normed=True)\n",
    "graph.xlabel('Perfect PVCF Allele Frequencies')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Simulating Effect of Read Depth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reading /home/stephen/1112_snp.vcf\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chrom</th>\n",
       "      <th>pos</th>\n",
       "      <th>id</th>\n",
       "      <th>ref</th>\n",
       "      <th>alt</th>\n",
       "      <th>qual</th>\n",
       "      <th>filter</th>\n",
       "      <th>depth</th>\n",
       "      <th>af</th>\n",
       "      <th>strand bias</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.1</td>\n",
       "      <td>1152</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>739</td>\n",
       "      <td>PASS</td>\n",
       "      <td>159</td>\n",
       "      <td>0.396226</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.1</td>\n",
       "      <td>1153</td>\n",
       "      <td>.</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>115</td>\n",
       "      <td>PASS</td>\n",
       "      <td>158</td>\n",
       "      <td>0.177215</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.1</td>\n",
       "      <td>1348</td>\n",
       "      <td>.</td>\n",
       "      <td>C</td>\n",
       "      <td>T</td>\n",
       "      <td>1560</td>\n",
       "      <td>PASS</td>\n",
       "      <td>145</td>\n",
       "      <td>0.634483</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.1</td>\n",
       "      <td>1523</td>\n",
       "      <td>.</td>\n",
       "      <td>A</td>\n",
       "      <td>T</td>\n",
       "      <td>2417</td>\n",
       "      <td>PASS</td>\n",
       "      <td>107</td>\n",
       "      <td>0.981308</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.1</td>\n",
       "      <td>1920</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>158</td>\n",
       "      <td>PASS</td>\n",
       "      <td>105</td>\n",
       "      <td>0.180952</td>\n",
       "      <td>8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  chrom   pos id ref alt  qual filter  depth        af  strand bias\n",
       "0   1.1  1152  .   G   A   739   PASS    159  0.396226            1\n",
       "1   1.1  1153  .   C   T   115   PASS    158  0.177215            7\n",
       "2   1.1  1348  .   C   T  1560   PASS    145  0.634483            0\n",
       "3   1.1  1523  .   A   T  2417   PASS    107  0.981308            0\n",
       "4   1.1  1920  .   G   A   158   PASS    105  0.180952            8"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 35.2 s, sys: 936 ms, total: 36.2 s\n",
      "Wall time: 36.2 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "vcf = load_pooled_vcf('/home/stephen/1112_snp.vcf')\n",
    "vcf = vcf.query(f'depth < {elbow_detection(vcf.depth)}')\n",
    "vcf.rename(columns={'allele freq': 'af'}, inplace=True)\n",
    "display(vcf.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "vcf['alt_depth'] = vcf['af'] * vcf['depth']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbUAAAGTCAYAAACvX4z2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ng7m69GSZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64fce69b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbUAAAGTCAYAAACvX4z2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64fd86c470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph.figure(figsize=(6, 6))\n",
    "graph.hist(vcf['depth'], bins=250)\n",
    "graph.xlabel('Depth')\n",
    "graph.show()\n",
    "\n",
    "graph.figure(figsize=(6, 6))\n",
    "graph.hist(vcf['alt_depth'], bins=250)\n",
    "graph.xlabel('Alternate Depth')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chrom</th>\n",
       "      <th>pos</th>\n",
       "      <th>id</th>\n",
       "      <th>ref</th>\n",
       "      <th>alt</th>\n",
       "      <th>qual</th>\n",
       "      <th>filter</th>\n",
       "      <th>depth</th>\n",
       "      <th>af</th>\n",
       "      <th>strand bias</th>\n",
       "      <th>alt_depth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1182241</th>\n",
       "      <td>3.12</td>\n",
       "      <td>81233</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>101</td>\n",
       "      <td>PASS</td>\n",
       "      <td>174</td>\n",
       "      <td>0.057471</td>\n",
       "      <td>1</td>\n",
       "      <td>9.999954</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        chrom    pos id ref alt  qual filter  depth        af  strand bias  \\\n",
       "1182241  3.12  81233  .   G   A   101   PASS    174  0.057471            1   \n",
       "\n",
       "         alt_depth  \n",
       "1182241   9.999954  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chrom</th>\n",
       "      <th>pos</th>\n",
       "      <th>id</th>\n",
       "      <th>ref</th>\n",
       "      <th>alt</th>\n",
       "      <th>qual</th>\n",
       "      <th>filter</th>\n",
       "      <th>depth</th>\n",
       "      <th>af</th>\n",
       "      <th>strand bias</th>\n",
       "      <th>alt_depth</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>572102</th>\n",
       "      <td>12.13</td>\n",
       "      <td>1960460</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>173</td>\n",
       "      <td>PASS</td>\n",
       "      <td>190</td>\n",
       "      <td>0.084211</td>\n",
       "      <td>2</td>\n",
       "      <td>16.000090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1243634</th>\n",
       "      <td>4.5</td>\n",
       "      <td>29632</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>176</td>\n",
       "      <td>PASS</td>\n",
       "      <td>197</td>\n",
       "      <td>0.086294</td>\n",
       "      <td>0</td>\n",
       "      <td>16.999918</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>103315</th>\n",
       "      <td>1.17</td>\n",
       "      <td>515615</td>\n",
       "      <td>.</td>\n",
       "      <td>G</td>\n",
       "      <td>A</td>\n",
       "      <td>175</td>\n",
       "      <td>PASS</td>\n",
       "      <td>194</td>\n",
       "      <td>0.087629</td>\n",
       "      <td>5</td>\n",
       "      <td>17.000026</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         chrom      pos id ref alt  qual filter  depth        af  strand bias  \\\n",
       "572102   12.13  1960460  .   G   A   173   PASS    190  0.084211            2   \n",
       "1243634    4.5    29632  .   G   A   176   PASS    197  0.086294            0   \n",
       "103315    1.17   515615  .   G   A   175   PASS    194  0.087629            5   \n",
       "\n",
       "         alt_depth  \n",
       "572102   16.000090  \n",
       "1243634  16.999918  \n",
       "103315   17.000026  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(vcf.query(f'af <= {vcf.af.min()}'))\n",
    "display(vcf.query(f'qual > 170').sort_values(by='af').head(3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see LoFreq needs atleast 10 alternate reads with a relatively high read depth to call low allele frequencies.\n",
    "\n",
    "Also the notice that the qualities of these sites are the same.\n",
    "\n",
    "Also when the quality is higher enough to more confident of the SNP call (Quality = 170) it needs as many as 16 alternate reads!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "132105 not called: 100%|██████████| 279128/279128 [00:21<00:00, 13074.02it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(147023,) (279128, 2)\n"
     ]
    }
   ],
   "source": [
    "# Simulate SNP Calling\n",
    "dps = vcf['depth'].values.tolist()\n",
    "\n",
    "results_snp_calling, af_called_results, n_not_called = [], [], 0\n",
    "prog = tqdm(results)\n",
    "for af_i in prog:\n",
    "    # Sample from emprical read depth distribution\n",
    "    n_reads = random.choice(dps)\n",
    "    alt_reads = stats.binom.rvs(n=n_reads, p=af_i)\n",
    "    \n",
    "    # SNP Caller\n",
    "    called_af = alt_reads / n_reads\n",
    "    was_called = alt_reads > 17\n",
    "    if was_called:\n",
    "        results_snp_calling.append(called_af)\n",
    "    else:\n",
    "        n_not_called += 1\n",
    "        prog.set_description(f'{n_not_called} not called')\n",
    "        \n",
    "    # Save AF called information\n",
    "    af_called_results.append((called_af, int(was_called)))\n",
    "\n",
    "# Process Results\n",
    "results_snp_calling = np.array(results_snp_calling)\n",
    "af_called_results = pd.DataFrame(af_called_results, columns=['af', 'called'])\n",
    "print(results_snp_calling.shape, af_called_results.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABAUAAAJCCAYAAAC4dH6aAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERElKF+AL6VkParabtVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64f19682e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Minimum $AF$ = 0.0822"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/markdown": [
       "Minimum $AF$ in real data = 0.0842"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph.figure(figsize=(16, 9))\n",
    "graph.hist(results_snp_calling, bins=250, normed=True, alpha=0.66, label='$H_0$')\n",
    "graph.xlabel('Allele Frequency After LoFreq')\n",
    "graph.legend()\n",
    "graph.show()\n",
    "\n",
    "display(Markdown(f'Minimum $AF$ = {results_snp_calling.min():0.4f}'))\n",
    "display(Markdown(f'Minimum $AF$ in real data = {vcf.query(\"qual > 170\").af.min():0.4f}'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABA0AAAJCCAYAAACroz5uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOGhARERERERERA5x0ICIiIiIiIiIHPofw1k45Rm8RCMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f64fcd450b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph.figure(figsize=(16, 9))\n",
    "graph.hist(results_snp_calling, bins=250, normed=True, alpha=0.66, label='$H_0$')\n",
    "graph.hist(vcf.query('qual > 170')['af'], bins=250, normed=True, alpha=0.66, label='Observed')\n",
    "graph.xlabel('Allele Frequency After LoFreq')\n",
    "graph.legend()\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Estimating Call Probability\n",
    "\n",
    "We are seeing that our lowest data point is around 8% when the you use a quality score of 170 as a threshold and quality and allele frequency are not directly related however since the quality _is_ related to the number of alternate reads and that is dependant on the depth and allele frequency. I'm demonstrate this with logistic regression. If my hypothesis is right I expect the 50% SNP call probability to be around 20% allele frequency because that is what the machine learning filters found when it could not rely on a SNP being called twice"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
       "          intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
       "          penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n",
       "          verbose=0, warm_start=False)"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logit = LogisticRegression()\n",
    "logit.fit(af_called_results['af'].values.reshape((len(af_called_results), 1)), af_called_results['called'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABDEAAALxCAYAAABFMj0DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzs3Xl0VdXZP/AnBLGgaBRDHCrQ8kIA\nK8ogOCISqzhUlBYLtNahKgrWqShgtb61fQ1UsWqLLLooFC0gqDiAivVdxQEVsQ7FQpVUAUFFBIyC\nEyL5/fH+TA2BTNzk3nP5fNbKas7Z++z73JMtzf1mn3NySktLywIAAAAgwzVKdwEAAAAANSHEAAAA\nABJBiAEAAAAkghADAAAASAQhBgAAAJAIQgwAAAAgEYQYAAAAQCIIMRKopKQk3SVAvTC3yUbmNdnI\nvCYbmddkq2yb20IMAAAAIBHSGmI888wzMXDgwOjYsWPk5eXF1KlTK7RffPHFkZeXV+Hr+OOPr3bc\n+fPnx7HHHhsFBQVxyCGHxKRJk+rrLQAAAAANJK0hxscffxydOnWK0aNHR9OmTbfZp3fv3vH666+X\nf91zzz1Vjrl8+fI488wzo0ePHvHUU0/FlVdeGVdffXU8+OCD9fEWAAAAgAbSOJ0vfsIJJ8QJJ5wQ\nERFDhw7dZp9dd901CgoKajzm5MmTY999942bbropIiIKCwvj73//e/zhD3+Ifv367XjRAAAAQFpk\n/D0xnnvuufiv//qv6NatW1x66aXx/vvvV9l/4cKF0adPnwr7ioqK4uWXX44vvviiPksFAAAA6lFa\nV2JU5/jjj4/vfe970bp163jrrbfiN7/5TZx22mnxxBNPxK677rrNY9asWRO9e/eusC8/Pz82b94c\n69ati3333XebxyXtjq1JqxdqytwmG5nXZCPzmmxkXpOtkjS327VrV2V7RocY3//+98u/P+igg+LQ\nQw+Ngw8+OB577LE47bTTtntcTk5Ohe2ysrJt7v+66k5UJikpKUlUvVBT5jbZyLwmG5nXZCPzmmyV\nbXM7o0OMre23336x//77x5tvvrndPi1btow1a9ZU2Ld27dpo3Lhx7L333vVd4k4rb/Lb5d+XnntA\nGisBAAAgW2X8PTG+bt26dfHuu+9WeaPPHj16xBNPPFFh37x586JLly6xyy671HOFAAAAQH1Ja4ix\ncePGWLRoUSxatCi2bNkSq1atikWLFsXKlStj48aNce2118bChQtjxYoV8fTTT8fAgQMjPz8/Tj31\n1PIxhgwZEkOGDCnfPvfcc+Odd96JkSNHxuuvvx533nlnTJs2LS655JJ0vEUAAAAgRdJ6OcnLL78c\n3/ve98q3i4uLo7i4OAYNGhS33HJLLFmyJO6+++748MMPo6CgII455piYPHlyNG/evPyYVatWVRiz\nTZs2MXPmzLjmmmti0qRJse+++8aYMWM8XhUAAAASLq0hxjHHHBOlpaXbbZ81a1a1Yzz88MOV9h19\n9NHx1FNP7VBtAAAAQGZJ1D0xAAAAgJ2XEAMAAABIBCEGAAAAkAhCDAAAACARhBgAAABAIggxAAAA\ngEQQYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAiN010AmStv8tsVtkvPPSCt4wAA\nALBzsxIDAAAASAQhBgAAAJAIQgwAAAAgEYQYAAAAQCIIMQAAAIBEEGIAAAAAiSDEAAAAABJBiAEA\nAAAkghADAAAASAQhBgAAAJAIaQ0xnnnmmRg4cGB07Ngx8vLyYurUqeVtX3zxRVx//fVx5JFHxv77\n7x+FhYVx/vnnx8qVK6sc8+mnn468vLxKX0uXLq3vtwMAAADUo7SGGB9//HF06tQpRo8eHU2bNq3Q\n9sknn8Q//vGPGD58eDz55JMxbdq0ePvtt+MHP/hBbN68udqxFyxYEK+//nr5V9u2bevrbQAAAAAN\noHE6X/yEE06IE044ISIihg4dWqFtzz33jAceeKDCvt/97ndx+OGHx+uvvx4HHXRQlWPn5+dHixYt\nUlswAAAAkDaJuifGhg0bIiIiLy+v2r69e/eOwsLCOO200+Kpp56q79IAAACAepbWlRi1sWnTprj2\n2mujb9++ccABB2y337777hu33HJLdO3aNTZt2hQzZsyIfv36xZw5c+Koo47a7nElJSX1UXa9aZh6\nm9XiNZtV0a8247CzMz/IRuY12ci8JhuZ12SrJM3tdu3aVdmeiBBj8+bNceGFF8aHH34Y06dPr7Jv\nu3btKrzpHj16xFtvvRW///3vqwwxqjtRmaSkpKRh6p3/doXNKl/za30r9avNOOzUGmxuQwMyr8lG\n5jXZyLwmW2Xb3M74y0k2b94cP/3pT2Px4sXx4IMPxt57713rMbp16xZvvvlmPVQHAAAANJSMXonx\nxRdfxHnnnRf/+te/Ys6cOVFQUFCncV599dU6HwsAAABkhrSGGBs3bixfIbFly5ZYtWpVLFq0KPba\na6/Yb7/94uyzz46XX345pk+fHjk5OfHee+9FRMQee+xR/kjWIUOGRETEhAkTIiLijjvuiFatWkXH\njh1j06ZNMXPmzHj44YfjzjvvTMM7BAAAAFIlrSHGyy+/HN/73vfKt4uLi6O4uDgGDRoUI0eOjEce\neSQi/u9JI183bty4+NGPfhQREatWrarQ9sUXX8R1110X7777bnzjG9+Ijh07xsyZM8sf5QoAAAAk\nU1pDjGOOOSZKS0u3215V21cefvjhCtuXXXZZXHbZZTtcGwAAAJBZMv7GngAAAAARQgwAAAAgIYQY\nAAAAQCJk9CNW2fnkTX67wnbpuQekqRIAAAAyjZUYAAAAQCIIMQAAAIBEEGIAAAAAiSDEAAAAABJB\niAEAAAAkghADAAAASAQhBgAAAJAIQgwAAAAgEYQYAAAAQCIIMQAAAIBEEGIAAAAAiSDEAAAAABJB\niAEAAAAkghADAAAASAQhBgAAAJAIQgwAAAAgEYQYAAAAQCIIMQAAAIBESGuI8cwzz8TAgQOjY8eO\nkZeXF1OnTq3QXlZWFsXFxdGhQ4fYd99945RTTol//etf1Y774IMPRs+ePaNly5bRs2fPmD17dn29\nBQAAAKCBpDXE+Pjjj6NTp04xevToaNq0aaX22267LcaNGxdjxoyJv/3tb5Gfnx9nnHFGbNiwYbtj\nLly4MM4777wYMGBAPP300zFgwIA455xz4u9//3t9vhUAAACgnqU1xDjhhBPil7/8ZfTr1y8aNapY\nSllZWYwfPz4uv/zy6NevX3Tq1CnGjx8fGzdujHvvvXe7Y44fPz6OOeaYGD58eBQWFsbw4cPj6KOP\njvHjx9f32wEAAADqUcbeE2PFihXx3nvvRZ8+fcr3NW3aNI488sh4/vnnt3vcCy+8UOGYiIiioqIq\nj9mZ5U1+u/wLAAAAMlnjdBewPe+9915EROTn51fYn5+fH++++26Vx23rmDVr1lT5eiUlJXWsND1S\nV2+zKsZsVmGr6tdM/TjV9yUb+ZmTjcxrspF5TTYyr8lWSZrb7dq1q7K91iHGRx99FHvssUedC6qt\nnJycCttlZWWV9qXimOpOVCYpKSlJXb3z/7MCo9KY8yuuzqjyNethnGr7knVSOrchQ5jXZCPzmmxk\nXpOtsm1u1/pykvbt28d5550Xjz32WHz55Zf1UVNERBQUFEREVFpBsXbt2korLbY+rrbHAAAAAJmv\n1iHGeeedF88991wMHDgwCgsLY8SIEfHyyy+nvLDWrVtHQUFBzJs3r3zfZ599Fs8991z07Nlzu8cd\ndthhFY6JiJg3b16Vx5AMX79/h3t4AAAA7HxqHWLceOONsXjx4rjvvvuiqKgopk2bFkVFRdGjR4+4\n5ZZb4q233qrxWBs3boxFixbFokWLYsuWLbFq1apYtGhRrFy5MnJycuLiiy+OW2+9NR566KFYsmRJ\nDB06NHbbbbf4wQ9+UD7GaaedFr/61a/Kty+66KJ46qmn4pZbbomlS5fGLbfcEk8//XRcfPHFtX2r\nAAAAQAap09NJGjVqFH369IkJEybE0qVLY8KECdGmTZsoLi6OLl26xKmnnhp33XVXbNiwocpxXn75\n5ejVq1f06tUrPv300yguLo5evXrFjTfeGBERl112WQwdOjSuuuqqOO6442L16tUxa9asaN68efkY\ny5Yti9WrV5dv9+zZMyZNmhTTp0+Po446Ku6+++6YNGlSdO/evS5vFQAAAMgQO/x0kqZNm8aAAQPi\nwAMPjG984xsxe/bseOaZZ+KZZ56JkSNHxllnnRW/+MUvKgQPXznmmGOitLR0u2Pn5OTEqFGjYtSo\nUdvt8+qrr1ba169fv+jXr1/d3hAAAACQkXYoxHjjjTdixowZcc8998SKFStin332iYsuuigGDRoU\nTZo0iT//+c8xefLkWLlyZUydOjVVNQMAAAA7oVqHGOvWrYv77rsvZs6cGS+99FI0adIkTjzxxCgu\nLo7vfve7kZubW9539OjRsd9++8WYMWNSWjQAAACw86l1iNGhQ4fYvHlzdO/ePW6++ebo379/5OXl\nbbd/YWFh7LPPPjtUJAAAAECtQ4zLLrssBg0aFG3btq1R/759+0bfvn1rXRgAAADA19X66SRt27aN\nxo23n32sWLEipk+fvkNFAQAAAGyt1iHGsGHDYuHChdttf/HFF2PYsGE7VBQAAADA1modYpSVlVXZ\n/umnn1a4uScAAABAKtTonhgrV66Mt956q3x76dKl8cwzz1TqV1paGpMnT47WrVunrkIAAACAqGGI\nMXXq1BgzZkzk5ORETk5OjB07NsaOHVupX1lZWeTm5sbtt9+e8kIBAACAnVuNQowzzjgjOnbsGBER\n55xzTgwZMiSOOOKICn1ycnJit912i86dO0d+fn7qKwUAAAB2ajUKMQoLC6OwsDAiIsaNGxdHHnlk\ntGnTpj7rAgAAAKigRiHG1w0ePLg+6gAAAACoUrUhxlf3whg+fHg0atQoxowZU+2gOTk5cfXVV6ek\nQAAAAICIGoQYo0ePjpycnLj88sujSZMmMXr06GoHFWIAAAAAqVZtiPHBBx9UuQ0AAADQEBqluwAA\nAACAmqj1jT0///zz+OSTT2KvvfYq37du3bqYMmVKfPjhh9GvX7/o2rVrSosEAAAAqHWIcemll8Zr\nr70WTz75ZEREfPLJJ3H88cfH8uXLIyLijjvuiNmzZ8fhhx+e0kIBAACAnVutLyd59tln46STTirf\nvvfee2P58uVx7733xuuvvx6FhYVx8803p7RIqK28yW9X+AIAACD5ah1irF27Ng444IDy7UceeSR6\n9OgRRUVF0bJly/jRj34UixYtSmmRAAAAALUOMXbbbbcoLS2NiIjNmzfHs88+G7179y5vb9q0aWzY\nsCFlBQIAAABE1OGeGF26dIm77rorevXqFY8++mhs3Lgx+vbtW96+bNmyaNmyZUqLBAAAAKj1Soxr\nr7021q5dG8cdd1yMGTMm+vXrF126dClvnzNnTvTs2TMlxR188MGRl5dX6evMM8/c7jHb6j9p0qSU\n1AMAAACkT61XYhxyyCHxwgsvxPPPPx977LFHHH300eVtpaWlcf7558dRRx2VkuLmzZsXX375Zfn2\n6tWro3fv3nH66adXedztt98eJ554Yvn2HnvskZJ6AAAAgPSpdYgREdGiRYs4+eSTK+3Py8uLiy++\neIeL+so+++xTYfuuu+6K5s2bVxti7LnnnlFQUJCyOgAAAID0q1OIERGxYcOGWLlyZZSWlkZZWVml\n9lStxvhKWVlZ3HXXXfHDH/4wmjVrVmXfkSNHxhVXXBGtW7eOs846K84555xo1KjWV84AAAAAGaTW\nIcb69evjqquuioceeqjCpR5fKSsri5ycnFi/fn1KCvzKvHnzYsWKFXHWWWdV2e+aa66JY445Jnbb\nbbd48skn49prr41169bFVVddVeVxJSUlqSy33qWu3v8EQpXHrBgWVf2aqR+nct9UjUMm87MiG5nX\nZCPzmmxkXpOtkjS327VrV2V7rUOMSy+9NObOnRtDhgyJI444IvLy8upcXG1MmTIlunbtGp07d66y\n39VXX13+fefOnWPLli0xduzYakOM6k5UJikpKUldvfPfLv+20phfa9tmez2PU6lvqsYhY6V0bkOG\nMK/JRuY12ci8Jltl29yudYgxb968GDp0aNxwww31Uc82vf/++/HII4/EzTffXOtju3XrFh999FGs\nWbPGo18BAAAgwWp9o4imTZtGq1at6qOW7Zo2bVrsuuuu0b9//1of++qrr8Y3vvGN2HPPPeuhMgAA\nAKCh1DrEOPPMM2POnDn1Ucs2lZWVxZ133hn9+/eP5s2bV2j74x//GIcddlj59qOPPhpTpkyJJUuW\nxLJly+LOO++M4uLiOPvss2PXXXdtsJoBAACA1Kv15SSnnHJKzJ8/P/r37x8//vGP45vf/Gbk5uZW\n6tetW7eUFPj000/HG2+8EX/84x8rta1bt67CDUp22WWXmDhxYvziF7+ILVu2RJs2bWLUqFFxwQUX\npKQWAAAAIH1qHWKceuqp5d8/8cQTldpT/XSSXr16RWlp6TbbRo0aFaNGjSrfPv744+P4449PyesC\nAAAAmaXWIca4cePqow4AAACAKtU6xBg8eHB91AEAAABQpVrf2PPr3njjjViwYEF8+OGHqaoHAAAA\nYJvqFGLcc8898Z3vfCcOO+ywOPnkk+OVV16JiP+70Wa3bt3i/vvvT2mRAAAAALUOMR588MG48MIL\no3379nHDDTdEWVlZeVuLFi2iffv2cffdd6e0SEi1vMlvl38BAACQDLUOMcaOHRu9e/eOWbNmbfP+\nGN27d49//vOfKSkOAAAA4Cu1DjGWLl1a4TGrW8vPz4+1a9fuUFEAAAAAW6t1iNGsWbP4+OOPt9u+\nbNmyaNGixQ4VBQAAALC1WocYvXr1imnTpsWmTZsqtb377rsxZcqU6NOnT0qKAwAAAPhK49oecN11\n10VRUVH07t07Tj/99MjJyYnHH3885s2bF1OmTInc3NwYMWJEfdQKAAAA7MRqvRKjbdu28dhjj0VB\nQUGMHj06ysrKYty4cXHbbbfFwQcfHHPnzo0DDzywPmoFAAAAdmK1XokREVFYWBj3339/lJaWxptv\nvhlbtmyJb33rW+6FAQAAANSbWoUYn3/+ecyYMSPmzZsXy5Yti40bN8buu+8e3/72t6OoqCgGDBgQ\nTZo0qa9aAQAAgJ1YjUOMxYsXx+DBg2PlypVRVlYWe+yxR+y+++7x/vvvxz/+8Y944IEHYuzYsTF9\n+vQoLCysz5oBAACAnVCN7omxcePGGDRoULz//vtx3XXXxeLFi2PFihUV/vfaa6+N1atXx8CBA6t8\nBCsAAABAXdQoxJg6dWqsWrUqZsyYEVdccUXsv//+Fdr333//uPLKK2P69OmxYsWKmDZtWr0UCwAA\nAOy8ahRi/PWvf40+ffrEMcccU2W/Y489No477riYO3duSooDAAAA+EqNQowlS5bE0UcfXaMBe/Xq\nFUuWLNmhogAAAAC2VqMQ44MPPoiWLVvWaMD8/Pz44IMPdqgoAAAAgK3V6Okkn3/+eeyyyy41G7Bx\n49i0adMOFQWZIm/y2xW2S889IE2VAAAAUONHrC5fvjxefPHFavstW7ZshwoCAAAA2JYahxjFxcVR\nXFxcbb+ysrLIycnZoaLYMV9fPWDlAAAAANmiRiHGuHHj6ruObSouLo4xY8ZU2NeyZctYunTpdo9Z\nvHhxXHXVVfHSSy/FXnvtFeecc05cffXVghUAAABIuBqFGIMHD67vOrarXbt2MWfOnPLt3Nzc7fb9\n6KOP4owzzogjjzwy/va3v0VJSUkMGzYsmjVrFj/72c8aolwAAACgntT4cpJ0ady4cRQUFNSo7z33\n3BOffvppjB8/Ppo2bRqdOnWKpUuXxh133BGXXHKJ1RgAAACQYDV6xGo6LV++PDp27BidO3eO8847\nL5YvX77dvgsXLowjjjgimjZtWr6vqKgo3n333VixYkUDVAsAAADUl4xeidG9e/e44447ol27drF2\n7dq46aab4oQTTogFCxbE3nvvXan/mjVrYv/996+wLz8/v7ytTZs2232tkpKSlNZe36qut1kN+1XX\nt1mFrbq/Zt3Gqdw3VeNUbN+xcUg155hsZF6TjcxrspF5TbZK0txu165dle0ZHWJ897vfrbDdvXv3\nOPTQQ2PatGlxySWXbPOYrS8ZKSsr2+b+rVV3ojJJSUlJ1fXO/8/TSap9X1X1/VpbtWPVwziV+qZq\nnK3ad2QcT4JJrWrnNiSQeU02Mq/JRuY12Srb5nbGX07ydbvvvnt06NAh3nzzzW22t2zZMtasWVNh\n39q1ayPiPysyAAAAgGRKVIjx2WefRUlJyXZv9NmjR4947rnn4rPPPivfN2/evNhvv/2idevWDVUm\nAAAAUA8yOsS49tprY/78+bF8+fL4+9//HmeffXZ88sknMWjQoIiI+NWvfhWnnXZaef8f/OAH0bRp\n0xg6dGgsWbIkHnroobj11ltj6NChnkwCAAAACZfR98R455134vzzz49169bFPvvsE927d4/HH388\nWrVqFRERq1evjmXLlpX333PPPeP++++P4cOHx3HHHRd5eXkxbNiw7d4/AwAAAEiOjA4xJk2aVGX7\n+PHjK+076KCD4tFHH62vkgAAAIA0yejLSQAAAAC+IsQAAAAAEkGIAQAAACRCRt8TA7JJ3uS3y78v\nPfeANFYCAACQTFZiAAAAAIkgxAAAAAASQYgBAAAAJIIQAwAAAEgEIQYAAACQCJ5OAgAAAFni609F\njIh44eg0FVJPhBiQAbb+h8YjWAEAACpzOQkAAACQCEIMAAAAIBGEGAAAAEAiCDEAAACARHBjT0gY\nNwHNPl//mfp5AgDA9lmJAQAAACSClRgAdVCbFTGpWj1jFQ4AADs7IQZAlnBZCgAA2U6IAVnEX+oB\nAIBsJsQA2A6hEAAAZBYhBsBOqKpLT4Q3AABkqox+Osktt9wSxx13XBx44IHRtm3b+OEPfxhLliyp\n8pgVK1ZEXl5epa///d//baCqgUyWN/ntCl8AAEByZPRKjPnz58dPf/rT6Nq1a5SVlcWNN94Yp59+\nejz//POx1157VXnsfffdF9/5znfKt6vrD0DtVbVqw4oOAABSLaNDjFmzZlXYnjBhQrRq1SoWLFgQ\nJ510UpXH7r333lFQUFCf5QEZylM6AAAgO2V0iLG1jRs3xpYtWyIvL6/avmeddVZ89tln0bZt2xg6\ndGj069evASqE5PBXcjKJ+QgAQE0kKsQYOXJkHHzwwdGjR4/t9tl9993j17/+dRx++OHRuHHjeOSR\nR+Lcc8+N8ePHxw9/+MPtHldSUlIfJdebquttVsN+1fVtVmGr7q9Zt3Eq903VOBXbG2ac6vpm1jk6\nbH7FtheO/qSKcVIrNf8tJudcb91uPtakb/Jk2/uBCPOa7GRekx2aVdqTpLndrl27KtsTE2Jcc801\nsWDBgpg7d27k5uZut1+LFi3iZz/7Wfl2ly5dYv369XHbbbdVGWJUd6IySUlJSdX1zv/PXzSrfV9V\n9Z1f8S+jdX7NOo5TqW+qxtmqvUHGqa5vpp2j2oyTQtXO7ZpK0rneqt18rEHfhEnZvIYMYl6Tjcxr\nssZWv1dFZNfvVokIMUaNGhWzZs2K2bNnR5s2bWp9fLdu3WLq1KmpLwxoMC43AAAAMj7EGDFiRMya\nNSvmzJkT7du3r9MYr776qpt8Qj0RLlDfajPHzEcAgOyW0SHG8OHDY8aMGfGXv/wl8vLy4r333ouI\niN122y123333iIj41a9+FS+++GI89NBDERExbdq02GWXXaJz587RqFGjmDt3bkycODH++7//O11v\nA3ZqtXlSyGHzm5Uvf/Phk/rgyTUAAMmW0SHGxIkTIyIqPVlkxIgRMWrUqIiIWL16dSxbtqxC+803\n3xwrV66M3NzcaNu2bfzhD3+o8n4YALA1gQcAQObJ6BCjtLS02j7jx4+vsD148OAYPHhwfZUEAC5b\nAQBIk0bpLgAAAACgJjJ6JQYAJF1V93qxoiO1nE8AyH5WYgAAAACJYCUGACSAVQYAAEIMAEg8AQcA\nsLMQYgDATkTgAQAkmRADACj39ZCjqoBDGAIApIMQI4G+fqf7CL84AgAAsHMQYgAAKVfTFR0AALUh\nxAAA0qqqwCMdl62k6jVdcgMAqSfEAACooVQGE7VZrZJpQY9LWwFIFyEGAJD1rIr4P5kWhgBAbQkx\nAABImdqEIdX1rY/VKsIZgGQTYgAAwP9ntQpAZhNiAABAijVE4CFUAXZGQgwAAGhAqbyMJpNfszY1\nCWDqV1U//1RdApbpl5LtSL1kFiEGAABQYw1xyU2mjbP1WDvyvpP8ZKKdlXOdWYQYAABAYqXqA6ZH\nB5MKAo/6J8QAAACAeibgSI1G6S4AAAAAoCaEGAAAAEAiuJwEAAAAMohLT7bPSgwAAAAgERIRYkyc\nODE6d+4cBQUFceyxx8azzz5bZf/58+fHscceGwUFBXHIIYfEpEmTGqhSAAAAoL5kfIgxa9asGDly\nZPz85z+Pp556Knr06BEDBgyIlStXbrP/8uXL48wzz4wePXrEU089FVdeeWVcffXV8eCDDzZw5QAA\nAJB6eZPfLv/a2eSUlpaWpbuIqhQVFcVBBx0Ut99+e/m+rl27Rr9+/eL666+v1P/666+P2bNnx0sv\nvVS+72c/+1m89tpr8fjjjzdIzQAAAEDqZfRKjE2bNsUrr7wSffr0qbC/T58+8fzzz2/zmIULF1bq\nX1RUFC+//HJ88cUX9VYrAAAAUL8yOsRYt25dfPnll5Gfn19hf35+fqxZs2abx6xZs2ab/Tdv3hzr\n1q2rt1oBAACA+pXRIcZXcnJyKmyXlZVV2ldd/23tBwAAAJIjo0OMFi1aRG5ubqVVF2vXrq202uIr\nLVu23Gb/xo0bx957711vtQIAAAD1K6NDjCZNmsShhx4a8+bNq7B/3rx50bNnz20e06NHj3jiiScq\n9e/SpUvssssu9VUqAAAAUM8yOsSIiBg2bFhMmzYt7rzzznj99ddjxIgRsXr16jj33HMjImLIkCEx\nZMiQ8v7nnntuvPPOOzFy5MiDGIDIAAAgAElEQVR4/fXX484774xp06bFJZdckq63AAAAAKRA43QX\nUJ3+/fvH+vXr46abbor33nsvOnbsGDNnzoxWrVpFRMSqVasq9G/Tpk3MnDkzrrnmmpg0aVLsu+++\nMWbMmOjXr186ygcAAABSJKe0tLQs3UUAAAAAVCfjLycBAAAAiBBiAAAAAAkhxAAAAAASQYgBAAAA\nJIIQAwAAAEgEIQYAAACQCEIMAAAAIBGEGAAAAEAiCDEAAACARBBiAAAAAIkgxAAAAAASQYgBAAAA\nJIIQAwAAAEgEIQYAAACQCEIMAAAAIBGEGAAAAEAiCDEAAACARBBiAAAAAIkgxAAAAAASQYgBAAAA\nJIIQAwAAAEgEIQYAAACQCEIMAAAAIBGEGAAAAEAiCDEAAACARBBiAAAAAIkgxAAAAAASQYgBAAAA\nJIIQAwAAAEgEIQYAAACQCEIMAAAAIBGEGAAAAEAiCDEAAACARBBiAAAAAIkgxAAAAAASQYiRQCUl\nJekuAeqFuU02Mq/JRuY12ci8Jltl29wWYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAA\nkAhCDAAAACARhBgAAABAIjROdwEAAABAapz3xPoK26MOSFMh9STrVmJ8+eWX8Zvf/CY6d+4cBQUF\n0blz5/jNb34TmzdvTndpAAAAwA7IupUYt956a0ycODHGjx8fnTp1isWLF8fFF18cTZo0iauvvjrd\n5QEAAAB1lHUhxsKFC6Nv375x0kknRURE69at46STTooXX3wxzZUBAAAAOyLrQozDDz88/vSnP8XS\npUujffv28dprr8XTTz8dV1xxRZXHlZSUNFCFqZG0eqGmzG2ykXlNNjKvyUbmNdlgw4YmlfYlaW63\na9euyvasCzEuv/zy2LhxY/Ts2TNyc3Nj8+bNMXz48Dj//POrPK66E5VJSkpKElUv1JS5TTYyr8lG\n5jXZyLwmWzR/e/1We9Zl1dzOuhBj1qxZcffdd8fEiROjQ4cO8eqrr8bIkSOjVatW8ZOf/CTd5QEA\nAAB1lHUhxi9/+cu45JJL4vvf/35ERBx00EGxcuXK+N3vfifEAAAAgATLukesfvLJJ5Gbm1thX25u\nbmzZsiVNFQEAAACpkHUrMfr27Ru33nprtG7dOjp06BCLFi2KcePGxcCBA9NdGgAAALADsi7E+O1v\nfxv/8z//Ez//+c9j7dq1UVBQEGeffXZcffXV6S4NAAAA2AFZF2I0b948Ro8eHaNHj053KQAAAEAK\nZd09MQAAAIDsJMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAhCDAAAACARhBgAAABAIggxAAAA\ngEQQYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAhCDAAAACARhBgAAABAIggxAAAA\ngEQQYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAhCDAAAACARhBgAAABAIggxAAAA\ngEQQYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAhCDAAAACARhBgAAABAIggxAAAA\ngEQQYgAAAACJIMQAAAAAEkGIAQAAACSCEAMAAABIBCEGAAAAkAhZGWKsXr06Lrroomjbtm0UFBRE\nz549Y/78+ekuCwAAANgBjdNdQKqVlpbGiSeeGIcffnjMnDkzWrRoEStWrIj8/Px0lwYAAADsgKwL\nMW6//fbYd999Y8KECeX72rRpk76CAAAAgJTIKS0tLUt3EanUs2fPKCoqinfffTeefvrp2HfffeMn\nP/lJXHDBBZGTk7Pd40pKShqwSgAAAEi9a15rUmH7xg6b0lRJ3bRr167K9qxbibF8+fL405/+FEOH\nDo3LL788Xn311RgxYkRERFx44YXbPa66E5VJSkpKElUv1JS5TTYyr8lG5jXZyLwmWzR/e/1We9Zl\n1dzOuhBjy5Yt0aVLl7j++usjIuKQQw6JN998MyZOnFhliAEAAABktqx7OklBQUEUFhZW2Ne+fftY\ntWpVmioCAAAAUiHrQozDDz88/v3vf1fY9+9//zsOPPDANFUEAAAApELWhRhDhw6NF154IW6++eZ4\n880344EHHog//vGPcf7556e7NAAAAGAHZF2I0bVr15g6dWrcf//9ccQRR8Svf/3ruOaaa4QYAAAA\nkHBZd2PPiIgTTzwxTjzxxHSXAQAAAKRQ1q3EAAAAALKTEAMAAABIBCEGAAAAkAhCDAAAACARhBgA\nAABAImRMiPHRRx+luwQAAAAgg2VMiNG+ffs477zz4rHHHosvv/wy3eUAAAAAGSZjQozzzjsvnnvu\nuRg4cGAUFhbGiBEj4uWXX053WQAAAECGyJgQ48Ybb4zFixfHfffdF0VFRTFt2rQoKiqKHj16xC23\n3BJvvfVWuksEAAAA0ihjQoyIiEaNGkWfPn1iwoQJsXTp0pgwYUK0adMmiouLo0uXLnHqqafGXXfd\nFRs2bEh3qQAAAEADy6gQ4+uaNm0aAwYMiCuvvDJOOumk2LJlSzzzzDNx6aWXRocOHWLkyJHCDAAA\nANiJNE53AdvyxhtvxIwZM+Kee+6JFStWxD777BMXXXRRDBo0KJo0aRJ//vOfY/LkybFy5cqYOnVq\nussFAAAAGkDGhBjr1q2L++67L2bOnBkvvfRSNGnSJE488cQoLi6O7373u5Gbm1ved/To0bHffvvF\nmDFj0lgxAAAA0JAyJsTo0KFDbN68Obp37x4333xz9O/fP/Ly8rbbv7CwMPbZZ58GrBAAAABIp4wJ\nMS677LIYNGhQtG3btkb9+/btG3379q3nqgAAAIBMkTE39mzbtm00brz9TGXFihUxffr0BqwIAAAA\nyCQZE2IMGzYsFi5cuN32F198MYYNG9aAFQEAAACZJGNCjLKysirbP/300wo39wQAAAB2Lmm9J8bK\nlSvjrbfeKt9eunRpPPPMM5X6lZaWxuTJk6N169YNWR4AAACQQdIaYkydOjXGjBkTOTk5kZOTE2PH\njo2xY8dW6ldWVha5ublx++23p6FKAAAAIBOkNcQ444wzomPHjhERcc4558SQIUPiiCOOqNAnJycn\ndtttt+jcuXPk5+eno0wAAAAgA6Q1xCgsLIzCwsKIiBg3blwceeSR0aZNm3SWBAAAAGSotIYYXzd4\n8OB0lwAAAABksLSFGF/dC2P48OHRqFGjGDNmTLXH5OTkxNVXX90A1QEAAACZJm0hxujRoyMnJycu\nv/zyaNKkSYwePbraY4QYAAAAsPNKW4jxwQcfVLkNAAAA8HWN0l0AAAAAQE1kzI09P//88/jkk09i\nr732Kt+3bt26mDJlSnz44YfRr1+/6Nq1axorBAAAANIpY0KMSy+9NF577bV48sknIyLik08+ieOP\nPz6WL18eERF33HFHzJ49Ow4//PA0VgkAAACkS8ZcTvLss8/GSSedVL597733xvLly+Pee++N119/\nPQoLC+Pmm29OY4UAAABAOmVMiLF27do44IADyrcfeeSR6NGjRxQVFUXLli3jRz/6USxatCiNFQIA\nAADplDEhxm677RalpaUREbF58+Z49tlno3fv3uXtTZs2jQ0bNqSpOgAAACDdMuaeGF26dIm77ror\nevXqFY8++mhs3Lgx+vbtW96+bNmyaNmyZRorBAAAANIpY0KMa6+9Ns4444w47rjjoqysLE4//fTo\n0qVLefucOXOiZ8+eaawQAAAASKeMCTEOOeSQeOGFF+L555+PPfbYI44++ujyttLS0jj//PPjqKOO\nSmOFAAAAQDplTIgREdGiRYs4+eSTK+3Py8uLiy++OA0VAQAAAJkio0KMiIgNGzbEypUro7S0NMrK\nyiq1W40BAAAAO6eMCTHWr18fV111VTz00EPx5ZdfVmovKyuLnJycWL9+fa3GHTt2bPz617+OCy64\nIG666aZUlQsAAAA0sIwJMS699NKYO3duDBkyJI444ojIy8vb4TFfeOGFmDJlShx00EEpqBAAAABI\np4wJMebNmxdDhw6NG264ISXjffjhh3HBBRfE73//+/jtb3+bkjEBAACA9MmYEKNp06bRqlWrlI13\n+eWXR79+/eLYY4+tUYhRUlKSstduCEmrF2rK3CYbmddkI/OabGRekw02bGhSaV+S5na7du2qbM+Y\nEOPMM8+MOXPmxPnnn7/DY02ZMiXefPPNmDBhQo2Pqe5EZZKSkpJE1Qs1ZW6TjcxrspF5TTYyr8kW\nzd/e+j6S67JqbmdMiHHKKafE/Pnzo3///vHjH/84vvnNb0Zubm6lft26datynJKSkrjhhhvi0Ucf\njSZNKidQAAAAQDJlTIhx6qmnln//xBNPVGqv6dNJFi5cGOvWrYsjjjiifN+XX34Zzz77bEyaNCne\neeed2HXXXVNWNwAAANAwMibEGDduXErGOeWUU6JLly4V9g0bNizatm0bV155pdUZAAAAkFAZE2IM\nHjw4JePk5eVVejxrs2bNYq+99opOnTql5DUAAACAhtco3QVsyxtvvBELFiyIDz/8MN2lAAAAABki\no0KMe+65J77zne/EYYcdFieffHK88sorERGxbt266NatW9x///11Gvfhhx+Om266KZWlAgAAAA0s\nY0KMBx98MC688MJo37593HDDDVFWVlbe1qJFi2jfvn3cfffdaawQAAAASKeMCTHGjh0bvXv3jlmz\nZm3z/hjdu3ePf/7zn2moDAAAAMgEGRNiLF26tMJjVreWn58fa9eubcCKAAAAgEySMSFGs2bN4uOP\nP95u+7Jly6JFixYNWBEAAACQSTImxOjVq1dMmzYtNm3aVKnt3XffjSlTpkSfPn3SUBkAAACQCRqn\nu4CvXHfddVFUVBS9e/eO008/PXJycuLxxx+PefPmxZQpUyI3NzdGjBiR7jIBAACANMmYlRht27aN\nxx57LAoKCmL06NFRVlYW48aNi9tuuy0OPvjgmDt3bhx44IHpLhMAAABIk4xZiRERUVhYGPfff3+U\nlpbGm2++GVu2bIlvfetb7oUBAAAAZEaI8fnnn8eMGTNi3rx5sWzZsti4cWPsvvvu8e1vfzuKiopi\nwIAB0aRJk3SXCQAAAKRR2kOMxYsXx+DBg2PlypVRVlYWe+yxR+y+++7x/vvvxz/+8Y944IEHYuzY\nsTF9+vQoLCxMd7kAAABAmqT1nhgbN26MQYMGxfvvvx/XXXddLF68OFasWFHhf6+99tpYvXp1DBw4\nsMpHsAIAAADZLa0hxtSpU2PVqlUxY8aMuOKKK2L//fev0L7//vvHlVdeGdOnT48VK1bEtGnT0lQp\nAAAAkG5pDTH++te/Rp8+feKYY46pst+xxx4bxx13XMydO7eBKgMAAAAyTVpDjCVLlsTRRx9do769\nevWKJUuW1HNFAAAAQKZKa4jxwQcfRMuWLWvUNz8/Pz744IN6rggAAADIVGkNMT7//PPYZZddatS3\ncePGsWnTpnquCAAAAMhUaX/E6vLly+PFF1+stt+yZcsaoBoAAAAgU6U9xCguLo7i4uJq+5WVlUVO\nTk4DVAQAAABkorSGGOPGjUvnywMAAAAJktYQY/Dgwel8eQAAACBB0npjTwAAAICaEmIAAAAAiSDE\nAAAAABJBiAEAAAAkghADAAAASAQhBgAAAJAIQgwAAAAgEYQYAAAAQCIIMQAAAIBEEGIAAAAAiSDE\nAAAAABJBiAEAAAAkghADAAAASAQhBgAAAJAIjdNdAEASnffE+vLvJ/XeO42VAADAzsNKDAAAACAR\nrMQAqEdfX7GxtVSv4LA6BACAbJd1IcYtt9wSs2fPjn//+9/RpEmT6N69e1x//fXRqVOndJcGUCfb\nCyeqCki2d/zWY6SLwAUAgLrIuhBj/vz58dOf/jS6du0aZWVlceONN8bpp58ezz//fOy1117pLg+g\nWjUNJxpyDEEDAACZIOtCjFmzZlXYnjBhQrRq1SoWLFgQJ510UpqqArJZXQODJIUESaoVAIDslXUh\nxtY2btwYW7Zsiby8vCr7lZSUNFBFqZG0eqE617zWJCKaRLy2IiIibuywqQFfd9uqqmHDhu0fVxcD\nZm9Iab+qlJSsK/++qvdfk+Pr6uvnLxXjZTr/ZpONzGuykXlNNtjW76lJmtvt2rWrsj3rQ4yRI0fG\nwQcfHD169KiyX3UnKpOUlJQkql6oieZvr48NGzZE8+bNIyKiXbva/7W/LqsFmr+9/VUUVdVQ1XGZ\nrvjt/3z//093rWx9Xmp6z46vt339/NXlZ50k/s0mG5nXZCPzmmxR+ffUdVk1t7M6xLjmmmtiwYIF\nMXfu3MjNzU13OUAauRwiOfysAADYnqwNMUaNGhWzZs2K2bNnR5s2bdJdDiRGqp9kkenj1ea1+D9V\nnRfnDACA+pSVIcaIESNi1qxZMWfOnGjfvn26ywF2UF0+GPugDQAA2SfrQozhw4fHjBkz4i9/+Uvk\n5eXFe++9FxERu+22W+y+++5prg4AAACoq6wLMSZOnBgREf369auwf8SIETFq1Kh0lASJVpebNkJ9\nMOcAAMi6EKO0tDTdJQANyKUh2a2mP9+qbgbqRqEAANkj60IM2NnU9MNbVVLxwS7VHxSFEwAAwNaE\nGECN1eWv4lW1+as4EXUPrOoz6KpqbPMWACB9hBiQRaxegNr9dyBUAwBIFiEGAIQQEAAgCYQYgA9v\n7DQacq5/9VobNjSJe9o12MsCAGQ1IQYkgJCBbJAt89j9MgAA0keIAaRNtnyoha/UZU67LwcAQM0J\nMSBD+YAP2WPr/56FFQAAdSPEAIAGluqQ0moOAGBnIcQAgAQQVAAACDEgo7iEBHZuqbjspKqwIxuD\nEJfqAMDORYgBABlqe8FmTQPPqvrVJdBIdchS1zEAgJ2XEAMAdnJ1XQVW0yAkFavMsnEVCQBQe0IM\nACCl6vvSOJfeAcDOS4gBaeQXcSBb1PdqDgCACCEGAJAhBLsAQHWEGABA1qsqIPn6ChA3Hq2Za15r\nEs3f/r9z5RwB0JCEGNDA/KURIDnS9W92XZ4YI0yoP84zQOYQYgAAWSkVj6LNBHWpr6oVJVabAJBk\nQgwAgCxQVdhR07b6DDRSEZ5YEQGAEAMAgEpqGjrU9H4jqaoDgJ2bEAMAIMOk64N7ql+3rqtDdvS1\nqgpPUr2aw+oQgIYlxAAAsoa/2u88UnGJTKYEEPVZR6a8R4BUEWJAA/BLNQCkR11v8LqjH/hrc3PV\nHR1fOEG2Mb+pihADAIBqCeSrl+rLZ+r7nGfaB8Wd8ck5VuFUr6b33anv+/OQOYQYAABQQw0ZLKT6\nmLrWXpfjkvZY3/OeWB8bNjSJ5m+v3+nChFR/+K/rKqRUvFZdjsnEnwlVE2IAAMBOLtNvJltVEFCX\nv9Sn68k5dV2ts6PvI9UBVm1+Bpm+iivV51MoUv9ySktLy9JdBLVTUlIS7dq1S3cZ1EKm/+OdKTZs\n2BDNmzdPdxmQUuY12ci8pjqpvgdIQzCvs1e65mO6Ao2t3+OoA9Zl1edHKzGgHiTl/6wBAOqD34XI\nJJmw0sgKjdQRYgAAAEA9cglK6ggxAAAAIE2s2KgdIQakiGWTAADAjrBio3qN0l0AAAAAQE0IMQAA\nAIBEcDkJAAAAZDiXmvwfIQbsAPfBAAAAaDguJwEAAAASIWtXYkycODFuv/32eO+996JDhw5RXFwc\nRx55ZLrLIuGsvAAAAEifrAwxZs2aFSNHjoyxY8fG4YcfHhMnTowBAwbEggUL4sADD0x3eSSM4AIA\nAMhkO9NnlpzS0tKydBeRakVFRXHQQQfF7bffXr6va9eu0a9fv7j++uvTWBkAAABQV1l3T4xNmzbF\nK6+8En369Kmwv0+fPvH888+nqSoAAABgR2VdiLFu3br48ssvIz8/v8L+/Pz8WLNmTZqqAgAAAHZU\n1oUYX8nJyamwXVZWVmkfAAAAkBxZF2K0aNEicnNzK626WLt2baXVGQAAAEByZF2I0aRJkzj00ENj\n3rx5FfbPmzcvevbsmaaqAAAAgB2VlY9YHTZsWAwZMiS6desWPXv2jEmTJsXq1avj3HPPTXdpAAAA\nQB1lZYjRv3//WL9+fdx0003x3nvvRceOHWPmzJnRqlWrdJcGAAAA1FFOaWlpWbqLAAAAAKhO1t0T\nAwAAAMhOQgwAAAAgEYQYAAAAQCIIMQAAAIBEEGIAAAAAiSDEAAAAABJBiAEAAAAkghADAAAASAQh\nBgAAAJAIQgwAAAAgEYQYAAAAQCIIMQAAAIBEEGIAAAAAiSDEAAAAABJBiAEAAAAkghADAAAASAQh\nBgAA/4+9+w6PomrbAH7P9k3vAaRD6E0QkA5BAVG6LSAiioQXFFGUYgUVEMEuAi+I74eICkoVUFQi\nkSqgFJESkBYgddOzfeb7I7BhSEIC7GZL7t915dqd58zMeYKza/bZOecQERF5BRYxiIiIiIiIiMgr\nsIhBRERERERERF6BRQwiIiIiIiIi8gosYhARERERERGRV2ARg4iIiIiIiIi8AosYREREREREROQV\nWMQgIiIiIiIiIq/AIgYREREREREReQUWMYiIiIiIiIjIK7CIQURERERERERegUUMIiIiIiIiIvIK\nLGIQERERERERkVdgEYOIiIiIiIiIvAKLGERERERERETkFVjEICIiIiIiIiKvwCIGEREREREREXkF\nFjGIiIiIiIiIyCuwiEFEREREREREXoFFDC+UlJTk7hSIXILXNvkiXtfki3hdky/idU2+yteubRYx\niIiIiIiIiMgrsIhBRERERERERF6BRQwiIiIiIiIi8goeX8TYuXMnHn30UTRt2hQhISH46quvyj3m\n6NGj6N+/P6pVq4amTZti7ty5kCSpErIlIiIiIiIiIldRuTuB8hQUFKBZs2aIi4vDuHHjyt0/NzcX\nQ4YMQefOnbFt2zYkJSVhwoQJ8PPzw7PPPlsJGRMREd0GSSr6wZVHCYAkXomhuE28Zh9HHCWOFSBd\nd16Usj+KjnE8lHbOUvIs7XjZPuUGbnzuG6nAPkKFvsBw4pcc3vp9yS180aNLTYZC6/HfhRHdFF7X\n5IukoBB3p+B0Hl/E6NOnD/r06QMAGD9+fLn7r169GkajEQsXLoRer0ezZs1w8uRJfPbZZ3jmmWcg\nCIKrUyYiImeRJMBmBSxmCFZL0aPFDFgtgM0KwWYtarcWPQpWC2C3AVYrBJsFsNuLtm02CHab4zns\nNghX2+x2QLQDdjsESZRtQ7RDcDwXi3+kom3BEbNfKRKIRcUFUXQUHlrYrFAJiuJCxNV9JBGyYoQo\nFfVP5AWaujsBIhfgdU2+yDLocaBlN3en4VQeX8S4WX/88Qc6deoEvV7viPXu3RuzZs3CuXPnULdu\nXfcl5yRH8xTYf6oQwRoBQRoFgjUKBGsEBGsUCFQLULBQQ0TuItoBYyGEwnwIxgKgMB9CYUHxtrEA\ngtkEmI0QTEbAbIJw9bnJCMFyJWYxAxYLYDVX8Nt0z8Xv9IiIiIicx+eKGGlpaahRo4YsFhkZ6Wgr\nq4jhTWvnbk1XY+WhrFLbBEjwVwKBKgnBKiBELSFULV33CISqJQSrJERoJAT43FVA3sybXotVgcJs\nhDovG6rCPKgK86/8XPfcmA9lYT5UpkIozUZ3p0xEREREV2RmGgB419/YMTExN2z3yY+v1w8ZuTqp\n542GkpT3D+VJ8k6eK7NNgoB8O5BvF3DZXLHzBagEVPdXorqfEtX9FLjD8VyJGn5K1AxQIlKn4FAc\ncrmkpCSvei16NUmCkJsFIf0yhKwMKLIzIWSlQ8jKKNrOyoCQnVF0hwS5hSQIAARAceVREAAB1zy/\n8nN1+0pT8faV/QUBEq62Xz0H5MdBkD04jnc8h/w4QN52/fHXKvH/jlJ2Ku3/LyVCFTzuOlKpSZV/\n6lvmtf+vvLm8LRYzNBqti3Ihcg9e1+SLwuo1QAq86/NueXyuiBEVFYW0tDRZLCMjA0DxHRneLs/u\n3PPl2yQk5diQlGMrc58AlYB6QSrUC1SifpAK9YNUqBdYtF3DX8khLESeSLRDyEyDIu0ShLSLUKRd\nkj33lgKFpFQBGi0kjQZQa4ueqzWASg2o1ZBUGkClAlTqorhSdSWuLnquVAEqVdF5lMor22pIV58r\nVYBCASiVkBTKon0USkcMiitxheKaHyUgFD2XHNtCcbsgONr/PXMW9Ro2KNoGrpz72sLE1X2vixF5\nMBadyRfxuiaf5UV3YVSEzxUxOnTogBkzZsBkMkGn0wEAEhISUL16ddSpU8fN2TlHu2ARUcF65FhE\n5Fgk5FhE5F55zLe5Zux4vk3CEYMVRwzWEm1aJVA/UIVmoWq0CCv6aR6qRnU/3r1BVCkkCYIhHYrk\nf6G4cBqKC1ceU5KLJrOs7HT0/kU/fgGAX9GjY1vnB0nvB2h1kLR6QKeHpNUBWj0krR6STl/UptYC\nGg2g0RZ96PdiNv9MICDY3WkQERER+QSPL2Lk5+fj33//BQCIoojk5GQcPnwYoaGhqFWrFmbOnIkD\nBw5gw4YNAIAHH3wQc+fOxfjx4/Hiiy/i1KlT+PDDDzFlyhSf+UD9aA0bYmLCSm2ziRJyLSKyLRIy\nTSIyTHZkmsUrz4t+DCY7Mkwi0k0iUo12mG/zzg6zHTiWbcOxbBu+P1P8zW6YVnGloKFyFDeahaqh\nVvjGfwcit7DZoLhwCopzp6C4cBrKKwULoTDfJd1JajWkkEhIwaGQAkMgBQZDCgguegwMLo4FhkDy\nDwT0fl5fdCAiIiIiz+XxRYy//voLAwYMcGzPmTMHc+bMQVxcHBYuXIiUlBScOXPG0R4cHIy1a9fi\nxRdfRK9evRASEoIJEybgmWeecUf6lU6lEBCmUyJMB9QPKn9/SZJgMIu4VCjicoEdlwvtuFhodzy/\nVGDHuXw7Cm7hDg+DWUTiZTMSr5mcw18l4K5IDe6O1qBztAbtIjUIUHPufqIyGQugPPUPlElHoEj6\nG8pT/0CwmJxyakmrgwOaTnQAACAASURBVBh1B6SwSEihkRBDIyA5fiIhhoYD/kEc2kBEREREHsPj\nixjdunVDdnZ2me0LFy4sEWvevDm2bNniyrR8hiAICNcpEa5TomWYutR9JElCuknEv7m2op88O87m\n2Rzb2ZaKFzgKbBK2XzZj+5XChlIAWoercXe0Bp2itegUrUGEjt/iUtUlGNKLChYnj0CZ9DcU509D\nkMRbPp8YGAIpqgbEqBqQou+AGHVH0fOoGpCCQlmgICIiIiKv4vFFDHI/QRAQpVciSq/E3dElZ2zO\nMos4nm3F3wYrjhqs+DvLin+ybCiswN0bdgn4M8OKPzOs+OxoAQCgeagK99XWo38tHdpEqDlpKPk2\nUYTizHGo/toF5cHdUF44fUunkXR6iDXrQ6xVH/ZaDSDWqg/xjnqAf6CTEyYiIiIich8WMei2hWoV\nV+6iKC5w2EUJZ/Ps+DurqLjxt8GKPzMsSDWW/43y0SwbjmblYf6hPFT3U6BfLR3uq6VH9+pa6FQs\naJAPMBuh/Hs/VAd3Q3loNxQ5WTd1uBgcBrFhc9jrxBQVK2o1gBQeXbQqBhERERGRD2MRg1xCqRDQ\nIFiFBsEqDKqrB1A0LOVMnh27U83YnWrBnlQLTuXeeOWEy4UivjhRiC9OFMJfJaBXDS3uq61Dv1o6\nhHPYCXkRITcLyv2JRYWLfw5AsJZc6acsYo06sMe0hL1RS9hjWkCKqsFhIERERERUJbGIQZVGEATU\nD1KhfpAKI2L8AQBpRvuVgkZRYeOwwQqxjFEoBTYJP5w34YfzJqgEoH9tHR5v5I9eNbRQcsUT8kR2\nG5R/74c6cTOUf+2EYC9/KSBJUECs3wT2xq2vFC2ac3lOIiIiIqIrWMQgt4rSKzGort5xt0amyY6t\nyWZsOW/ErxfNZa6KYpOADedM2HDOhJr+SoyI8cOIGD/UDuAlTe4npF6E+vctUP3+IxTZGeXuL+n8\nYGvZAfY7O8PWqgMQGFIJWRIREREReR9+4iOPEq5TIq6hH+Ia+sFkk7AjxYzN503YcsGIy4Wlz6eR\nXGDH3IN5ePdgHnrfocXIRv64r5YOGiXvzqBKZDZBtT8R6sRNUB4/VO7uYkQ12O7sAvudnWBv3BpQ\nlb46EBERERERFWMRgzyWTiXgnpo63FNTh/ekYBzKtGLzBRPWnjEiKafkXBoSgF8umvHLRTMidArE\nNfTDuGYBuMOfc2eQ6wiZaVBv+QbqHT9BMBbccF+xei1Yu/SF/c7ORSuHcF4LIiIiIqKbwiIGeQVB\nENAmQoM2ERpMbxOIvWkWLD9ZiLVnjDDaSw45yTCJ+OTvfCz+Jx+Pxfjj+VYBqMWhJuREQvplaDZ+\nBdWOHyHYy56gVtLqYOsYC2v3/hAbNmfhgoiIiIjoNvBTHXkdQRBwd7QWd0drMadjMNb8a8T/nSzA\nwcySqz1YRGDZiQJ8mVSAEQ398HyrQNQJ5GVPt05IuQDNxhVQ7foZglj2ksH2hi1g7dEftvY9Ab1f\n5SVIREREROTD+GmOvFqwRoHRTfwxuok/DmVasOJkIb79txC5FvndGVYR+N/JQqxIKkRcQz9Mbh2I\nuixm0E1QJJ+BeuMKqPYmQJBKL16IQaGwdekDa/f+kGrUqeQMiYiIiIh8Hz/Fkc9oHa5B604avNk+\nGKtOF+K9w3k4ny9f0tImAV8mFWLlqUI80sAPL7YORP0gvgyobIrzp6BZvxyq/Yll7iNG1oDlgeGw\nde3LCTqJiIiIiFyIn97I5+hVAkY19sfwGD98e7oQ7x3Kw5k8eTHDLgErTxXim9OFeKKRP15vF4QQ\nrcJNGZNHys+FdvUSqLb/AEEqfalfsVotWAY8Blun3oCSb6dERERERK7Gv7rJZ6kVAh6L8cejDfyw\n6nQh5h/Kw7/XFTNEqWjOjI3njHi7QzAerq+HwIkXqzZRhGrnT9B+uwhCXk6pu9jvqAvrwJGwdegJ\nKLj6DRERERFRZWERg3yeSiFgeIw/Hm7gh+/PGDH/UF6JJVrTTSLiE7Ow4mQB3u8cgphgDgmoihQX\n/oV2+QdQnjxSaru9dkNYBj0Oe9uugIJ37hARERERVTYWMajKUCkEPNLADw/W02PtWSPm/JWL07ny\nOzN+T7Ggy7o0TGoViBdaBkKn4l0ZVYKxEJp1/4N663elrjgiVqsF86P/gb1NJy6RSkRERETkRixi\nUJWjVAh4sL4fBtTR48MjeXj/cB7M19QyLCLw7sE8rD5diPc6hSD2Dp37kiXXkiQo9ydC+9UnUGRl\nlGxWa2AZOBLW+x4B1Bo3JEhERERERNdiEYOqLK1SwNQ2QXiwnh9e3JONhEtmWfuZPDuGbs3E0Hp6\nzO4QjGp+nPvAlwiZqdB+8R5UR/4otd3W+m6YRz4HKbJ6JWdGRERERERlYRGDqrwGwSqs6ROONWeM\nmP5HDtKM8uEEa84YkXDJhEXdwtC3Fu/K8AXKv3ZBt2QOhIK8Em1iWBTMjz1bNO8Fh44QEREREXkU\nzkxHBEAQBAyr74c/hkTj6Sb+uP6ja5ZZwiO/ZGLm/hzYxNKX2yQvYLNC8/Vn0H/4cokChqRUwnJ/\nHArf+T/Y23VjAYOIiIiIyAPxTgyia4RoFZjXKQRxDf0waVc2DhussvYPjuRjb5oFn/cMQ3UOL/Eq\nQkYKdJ/NhPL0sRJt9iatYXr8eUh31K38xIiIiIiIqMJ4JwZRKdpGarBtQCTeaBcE5XVfyO9KtaDb\n+jQkXDS5Jzm6aco/d8Lv9adLFDAkhQLmR8bBOPUDFjCIiIiIiLwAixhEZVApBDzfKhAb+0Wgup/8\npZJhEjF0aybm/JULO4eXeK6rw0c+eqXE8BExLArGlz+Gtf+jgIJvhURERERE3oB/uROVo3M1LRIH\nRqFXDa0sLgGYezAPQ7dmIs1oL/1gchsh/TL0syZC8+OqEm221nej8K0lEGNauCEzIiIiIiK6VSxi\nEFVApF6J7+4Nx8t3BpaY9HP7ZTO6r0/DzhRzqcdS5VMe3F00fOTf64aPKJUwPzIOpkmzgYBgN2VH\nRERERES3ikUMogpSKgRMaROEdX3DEamTv3RSjCIG/piB5ScL3JQdXaX67QfoPnwFQmG+LM7hI0RE\nRERE3o9/yRPdpB41dPh9UBS6VNPI4nYJmLgzG+8fzoMkcZ6MSidJUK/7P+i+mA9BEmVNtjadUfjW\nUogNm7spOSIiIiIicgavKGIsXboUrVq1QnR0NHr06IFdu3bdcP/Vq1eja9euqF69Oho1aoSxY8ci\nNTW1krKlqqCanxLr+0bgxVaBJdrePJCL6X/kQGQho/KIdmj/7wNo134hC0uCAuZH/wPTpFlAQJCb\nkiMiIiIiImfx+CLGmjVrMG3aNEyePBmJiYno0KEDHnroIVy4cKHU/ffs2YP4+HjExcVh9+7d+Oqr\nr3D8+HE8/fTTlZw5+TqVQsCr7YLwZWwYtEp526J/ChCfmAWLnYUMl7OYofvkDagTNsjCkloD08S3\nYL3vEUC4fiYTIiIiIiLyRh5fxFiwYAGGDx+OUaNGoXHjxpg3bx6io6OxbNmyUvfft28fatSogQkT\nJqBu3bpo3749xo4diwMHDlRy5lRVDKijx/d9IhCkln9QXv2vEY/+kol8q1jGkXTbCvKgn/cSVH/u\nkIUl/0AYp7wHe9subkqMiIiIiIhcwaOLGBaLBQcPHkRsbKwsHhsbi71795Z6TMeOHZGamootW7ZA\nkiRkZmZizZo1uPfeeysjZaqiulbTYlP/SETr5S+pbZfMGPhjBjJMXILV2QRDGvSzJ0J58rAsLoZF\novCVTyA2aummzIiIiIiIyFWE7Oxsj73f/fLly2jatCk2bdqELl2Kv1GdO3cuVq9ejf3795d63Pr1\n6/HMM8/AaDTCZrOhV69eWLlyJfR6fZl9JSUlOT1/qnoumgQ8+7cWF0zyYkZtvYhPm5tRXeexLzev\nos24jIYrP4Qm1yCLGyNr4HTcc7AGhbkpMyIiIiIiuh0xMTE3bFdVUh63RbhuPLskSSViVx0/fhzT\npk3DSy+9hNjYWKSmpuK1117DpEmTsHjx4jL7KO8fypMkJSV5Vb5VSQyAbQ3teOjnTBzMtDri540K\nxP/jj+/7RKBZqNp9CXq4ilzbiqS/of9yHoSCPFnc3qgl7JNmo65/yclWidyJ79nki3hdky/idU2+\nyteubY8eThIeHg6lUom0tDRZPCMjA5GRkaUe8/7776Nt27aYOHEiWrRogd69e+O9997Dt99+i+Tk\n5MpIm6q4SL0SG++LQI/qWln8cqGI+zanY3+6xU2ZeT/FySPQv/tiiQKGrW1XGF+aD7CAQURERETk\n0zy6iKHRaNCmTRskJCTI4gkJCejYsWOpxxiNRiiV8qUirm5LXPKSKkmgWoFV94ZjSF35EKYci4Rh\nWzPwt8FaxpFUFsXZk9C/Pw2CxSSLW3sNgOnZmYBGW8aRRERERETkKzy6iAEAEyZMwMqVK7F8+XKc\nOHECU6dORUpKCkaPHg0AiI+PR3x8vGP/fv36YfPmzfj8889x9uxZ7NmzB1OnTkXr1q1Rq1Ytd/0a\nVAVplQI+7xmKp5v6y+I5FglDt2bgdI7NTZl5H+HiWejnvQjBWCCLm4eMhnnUC4BCWcaRRERERETk\nSzx+ToyhQ4fCYDBg3rx5SE1NRdOmTbFq1SrUrl0bAEoMERkxYgTy8/OxZMkSvPrqqwgKCkK3bt0w\nc+ZMd6RPVZxCEPBux2AEqxWYf7h4CESaUcSgnzLwY/8I1Azw+JehWwlpl4qGkOTnyuLmYU/BOnCk\nm7IiIiIiIiJ38OjVSah0vjYxS1UgSRKm/5GDRf/I7ySICVZh830RiNTzTgKg5LUtGNKhn/UsFBkp\nsv0s/eNgeXgsUMYEv0SehO/Z5It4XZMv4nVNvsrXrm2PH05C5AsEQcDsDsEYEeMniyfl2DB0ayay\nzaKbMvNcQm4W9O9OLlHAsMYOYgGDiIiIiKiKYhGDqJIoBAEfdQ7BwDo6WfyIwYpHf8lEgZWFDIeC\nPOjmvQTF5fOysLVzH5hHPscCBhERERFRFcUiBlElUikELOkRht53yFfS2JNmwchtBpjtHN0FUyH0\n70+D8vwpWdjWrhvMY6YACr5tERERERFVVfw0QFTJtEoBy3uF4e4ojSy+7ZIZT283wCZW3UKGYLNC\n99GrUJ46KovbWrSH6T+vAUpOgkpEREREVJWxiEHkBv5qBb65Jxwtw9Sy+IZzJkzcmQ1RqoKFDJsN\nddcshuqfP2Vhe6OWME18E1BryjiQiIiIiIiqChYxiNwkRKvAmj7hiAmW312w8lQhXt+XW8ZRvkuz\n8lOEnDwki9nrNILx+TmAVu+mrIiIiIiIyJOwiEHkRpF6Jdb2CUdNf/kSq58ezcfykwVlHOV7VL+u\ng+bXdbKYvUZdGF96F/ALcFNWRERERETkaVjEIHKzmgEqrO8bgSi9/OU4eXc2dqea3ZRV5VEe3Q/t\nio9lMTE8GqYp84HAEDdlRUREREREnohFDCIP0CBYhVX3hEOvLF461CoCI7cZcC7P5sbMXEtIuQDd\npzMgiMXLy0paHUyTZkMKjXBjZkRERERE5IlcUsRo1qwZZsyYgX/++ccVpyfySW0iNFjYLVQWyzCJ\nGP5rJvKtYhlHebGCPOg/eBlCYb4jJEGAadxrEGs3cGNiRERERETkqVxSxGjbti0WLVqErl27olu3\nbliwYAFSU1Nd0RWRTxlcT48pbQJlsaNZNsQnZvnWiiV2G3QLZkKRckEWvtxrCOxtu7gpKSIiIiIi\n8nQuKWKsWLECJ06cwPvvv4/AwEC89tpraN68OYYNG4bvvvsORqPRFd0S+YRpbQIxsI5OFtt03oTZ\nf+a5KSPn03z9GVRH98ti1s59kNq5n5syIiIiIiIib+CyOTGCg4PxxBNPYPPmzTh48CCmT5+OS5cu\nYezYsWjUqBHGjx+P7du3u6p7Iq+lEAQs7BaKlmFqWXz+4Tx892+hm7JyHlXCBmh+XiOL2Rs0g3n0\nZEAQyjiKiIiIiIiokib2rF27NiZPnozvvvsOgwcPRn5+Pr7++msMGTIELVq0wGeffQa73V4ZqRB5\nBX+1Ait7hyFSJ3+JPrMjC3+mW9yU1e1THvsL2i8/ksXEsCiYnnsb0GjdlBUREREREXkLlxcx8vLy\nsGLFCgwcOBCtWrXCDz/8gP79++PLL7/EN998g1atWuGVV17BpEmTXJ0KkVepFaDCitgwaK55lZrs\nwIhtmbhc6H1FPyE1GbpPXodwTcFS0uhgmjQLUnCYGzMjIiIiIiJv4ZIiht1ux48//ognn3wSjRs3\nxrPPPou8vDzMmTMHx48fx1dffYUHHngAffr0wcqVKzF58mSsW7fOFakQebWO0Vp80DlEFrtcKGLE\nr5kw2rxoos/C/KKVSArk83qY4l+BWCfGTUkREREREZG3UbnipI0aNUJWVhaqVauGsWPHIi4uDo0b\nNy5z/6ZNmyI/P7/MdqKqbESMP45l2fDp0eLXyJ8ZVjy3MwuLu4dC8PR5JCQJuiVzoLh8XhY2PzgG\n9ru6uSkpIiIiIiLyRi4pYvTu3RtxcXHo2bNnhT5gDRs2DMOGDXNFKkQ+YeZdQTiRbcXPF82O2Kp/\njegYrcFTTQLcmFn51D+thurPnbKYtdM9sD4wwk0ZERERERGRt3LJcJJRo0ahZcuWZRYwMjMzsXPn\nzlLbiKgkpULA0p5haBQsrztO35uDQ5meO9Gn4tRRaFYtlsXs9RrD/ORLXImEiIiIiIhumkuKGAMG\nDEBCQkKZ7du3b8eAAQNc0TWRzwrWFK1YEqAq/vBvEYEnEgzIsYhuzKwM+TnQLZgpn8jTLwCmCTO4\nEgkREREREd0SlxQxJOnGEw5aLBYoFJWyuiuRT2kYrMZHXeQTfZ7Js+O5ndnlvu4qlShC9985UBjS\nZGHT09MgRVZ3U1JEREREROTtnDYnRm5uLnJychzbBoMBFy5cKLFfdnY2vvvuO1Svzg8yRLdiWH0/\n7EyxYNmJAkds3Vkjuh7XYExTz5gfQ73lG6gO7ZHFLP0ehr1tVzdlREREREREvsBpRYzPPvsM7777\nLgBAEARMnz4d06dPL3VfSZIwY8YMZ3VNVOXM7hCMfekWHDFYHbGX/8jBXZEatInQuDEzQHHyMDTf\nLZXF7A2awfLQWDdlREREREREvsJpRYzY2Fj4+/sDAF5//XU8+OCDaNWqlWwfQRDg7++PO++8E23a\ntHFW10RVjk4l4H89w9BzYxryrEXDSCwi8MRvBmwfGIVgjZuGa+VmQ7fgTQhi8Rwdkn8QTBPeAFQu\nWQyJiIiIiIiqEKd9qujQoQM6dOgAACgoKMCAAQPQvHlzZ52eiK7TIFiFjzqH4MntWY7Y2Tw7nt2R\nhf/rFVah5Y2dShShWzwLiuwMWdg0djqk8OjKzYWIiIiIiHySS76unTZtGgsYRJVgaH0/PNXEXxbb\ncM6EJccKyjjCddQbV0D19z5ZzHJ/HOxtOlV6LkRERERE5JuccifG119/DQB49NFHIQiCY7s8cXFx\nzuieqEqb1T4Y+9IsOHzN/Biv7stB+ygN7qyk+TGUx/6CZu3/ZDF7o5awDHuqUvonIiIiIqKqwSlF\njPHjx0MQBAwbNgwajQbjx48v9xhBECpcxFi6dCk+/vhjpKamokmTJpgzZw46d+5c5v4WiwXz5s3D\nt99+i5SUFERFReGZZ57BuHHjKvw7EXkLnUrA/3qFoceG6+bHSCiaHyNE69r5MYTsTGgXvgVBumYe\njMBgmP7zOqDkPBhEREREROQ8TvmEcejQIQCARqORbTvDmjVrMG3aNLz33nu4++67sXTpUjz00EPY\ns2cPatWqVeoxTz31FC5evIiPPvoI9evXR3p6OoxGo9NyIvI09YNU+KRLKJ74zeCIncu349mdWVju\nyvkxRBHa/86GIqe4X0kQYIp/BVJYpGv6JCIiIiKiKsspRYzatWvfcPt2LFiwAMOHD8eoUaMAAPPm\nzcOvv/6KZcuW4Y033iix/7Zt27B9+3b89ddfCA8PBwDUqVPHafkQearB9fR4OsUfS44Xz4ex8ZwJ\nX5woxJPXzZvhLOqfVkN19IAsZn1gBOwtO7ikPyIiIiIiqtrctA5jxVgsFhw8eBCxsbGyeGxsLPbu\n3VvqMZs2bcKdd96JBQsWoFmzZmjbti2mTJmC/Pz8ykiZyK3e7hCM1uFqWeyVP3JwMttaxhG3TnEu\nCZrVS2Qxe5PWsAx5wul9ERERERERAU66E2PChAk3fYwgCPj0009vuE9mZibsdjsiI+W3pUdGRiIt\nLa3UY86ePYs9e/ZAq9Vi+fLlyMnJwZQpU5CSkoLly5eX2VdSUtJN/w7u5G35UuWZUVfAiGwdCu1F\nQ0iMdgkjt6bgi9YmqJ1UthSsZjT+fBYEu80Rs+n8cPze4bD+e+a2zs1rm3wRr2vyRbyuyRfxuiZf\n5U3XdkxMzA3bnVLESExMvOkx9zez//X7SpJU5vGiKEIQBCxZsgTBwcEAioagDB06FGlpaYiKiir1\nuPL+oTxJUlKSV+VLlSsGwHx9AcbvyHbEThQo8G1uFGa2D3ZKH5rlH0KTcVkWsz41BXXv6nhb5+W1\nTb6I1zX5Il7X5It4XZOv8rVr2ylFjCNHjjjjNCWEh4dDqVSWuOsiIyOjxN0ZV0VHR6N69eqOAgYA\nNGrUCACQnJxcZhGDyJfENfTD1mQz1p0tntD247/z0bumDt2ra2/r3MqDu6D5dZ0sZu12H+wdet7W\neYmIiIiIiMrj0XNiaDQatGnTBgkJCbJ4QkICOnYs/Rvfu+++GykpKbI5ME6fPg0AZa5mQuRrBEHA\nB51DcIef0hGTAPwnMQvZZrHsA8s7b44B2qXvymJiVA2YRzx7y+ckIiIiIiKqKI8uYgBF822sXLkS\ny5cvx4kTJzB16lSkpKRg9OjRAID4+HjEx8c79n/wwQcRFhaGCRMm4NixY9izZw+mTZuGQYMGlXn3\nBpEvCtUqsLB7KK4deHWx0I5Ju7IhSdLNn1CSoF06F4q84mEqkkIB07hXAb3f7SdMRERERERUDqcM\nJ2nVqhUUCgX27dsHtVqNVq1alTvnhSAIOHjwYLnnHjp0KAwGA+bNm4fU1FQ0bdoUq1atcizjmpyc\nLNs/ICAA69atw5QpUxAbG4uQkBDcf//9pS7HSuTrulfXYmKLAHz0d/GdSevOGtHnlBbDY25u2VX1\nL2uhOixfFcgy+AmIDZo5JVciIiIiIqLyOKWI0aVLFwiCAIVCIdt2ljFjxmDMmDGltm3atKlELCYm\nBmvXrnVa/0Te7JW2QUi4ZMZhQ/Eyq1P25KBTtBb1gir2FqBIPgPNtwtlMXujlrAOGOHUXImIiIiI\niG7EKUWMhQsX3nCbiNxHoxSwpEcoem5Ih9FeNIwk3yZhbKIBW/pHQqUop+BoMUO76G0I1uIiiKT3\nh2nsy4BCeYMDiYiIiIiInMvj58QgotvXOESNtzsEyWL70q2Ydyiv3GM13y2F8sJpWcw86nlIkdWd\nmiMREREREVF5nHInRmlsNhu+/vpr/PTTT7hw4QKAotVB+vbti7i4OKhULuuaiErxZGN/bE0246cL\nJkds3qE8xNbQomN06cuuKo/sg+an1bKYtdM9sHW6x6W5EhERERERlcYld2Kkp6ejV69emDhxInbs\n2AEAkCQJO3bswMSJE9GzZ0+kpaW5omsiKoMgCPi0Swii9MUve1ECxiZmIddSyrKr+TnQLn1HFhIj\nomF+fJKrUyUiIiIiIiqVS4oYU6ZMwYkTJ/DJJ5/g9OnT2L59OxITE3H69Gl8/PHHOHnyJKZOneqK\nronoBiL1SizoGiqLncu3Y/ofOfIdJQm6L96DIjuzOCQoYIp/BfALqIxUiYiIiIiISnBJEeOXX35B\nfHw8HnvsMSiVxRP/KZVKjBw5Ek8//TR++eUXV3RNROW4t6YOY5vKl1f9KqkQG84aHduqnVuh2p8o\n28c6YATERq0qJUciIiIiIqLSuKSIodFoUKtWrTLb69SpA6229DH4ROR6M+8KRpMQ+bw0k3ZlI7XQ\nDiH9MrRffiRrs9drDMugUZWZIhERERERUQkuKWIMHToU33//PazXLMl4lcViwffff48hQ4a4omsi\nqgC9SsDi7qFQX/MOYDCLeO73DGiXzIFgKnTEJY22aBgJJ+MlIiIiIiI3c8qnkgMHDsi2Bw0ahF27\ndqFXr1548sknUb9+fQiCgFOnTuGLL75w7ENE7tM6XIPpdwbhzQO5jljzPeug+vewbD/LI+MgVa9d\n2ekRERERERGV4JQixj333ANBEGQxSZIAAJMnT3a0XY0BwMCBA2EwGJzRPRHdoudaBGDrBRP2pFnQ\nKv8c3jqzStZua9ke1t6D3ZQdERERERGRnFOKGAsWLHDGaYiokikVAhZ1D0Xv75Pxv2MLoZHsjjbR\nPwjmp6YC1xUoiYiIiIiI3MUpRYzhw4c74zRE5AZ1A1X4qXA9WhVckMVX9fwPHgiNcFNWRERERERE\nJblkYk8i8h7KY3+h9R/rZLEvo7tiVGEr/JlucVNWREREREREJblsuQGTyYSNGzfi4MGDyM3NhSiK\nsnZBEPDpp5+6qnsiqojCfGj/OwfCNfPVnNOG47mYUbBLwNjELGwfGAl/NeudRERERETkfi4pYiQn\nJ2PAgAE4e/YsgoODkZubi9DQUGRnZ0MURYSHh8Pf398VXRPRTdB++REUhjTHtiQIeLLJOOSq/AAA\np3JteGN/LuZ3CnFXikRERERERA4u+Xr1jTfegMFgwNatW3HgwAFIkoRly5bh0qVLeO2116DX67F+\n/XpXdE1EFaTamwD1rp9lMWu/h1Gv412y2NLjBfg52VSZqREREREREZXKJUWM3377DU899RTat28P\nhaK4C61WixdeeAGdO3fG9OnTXdE1EVWAYEiH9v/el8XsNevDMuwpvN0hGPUDlbK2Z3ZkwWCyg4iI\niIiIyJ1cUsQoelQXYwAAIABJREFUKChA3bp1AQAajQYAkJeX52jv1KkTdu7c6Yquiag8ogjtkjkQ\nCopfk5JKDXP8K4BagwC1Aou7h0FxzcqqqUYRz+3KhnTN3BlERERERESVzSVFjOrVqyMlJQUA4O/v\nj9DQUBw5csTRfuHCBajVald0TUTlUG/9Dqp//pTFLMOegli7gWO7fZQGk1sFyvbZeM6EFUmFlZIj\nERERERFRaVwysWfnzp2xbds2TJkyBQAwcOBAfPLJJ1CpVBBFEYsWLULfvn1d0TUR3YDiXBI0q5fI\nYramd8La7+ES+05pE4hfL5rwZ4bVEZu2Nwedo7VoEOyyhY2IiIiIiIjK5JJPIuPHj0dCQgJMJhN0\nOh1mzJiBs2fPYvbs2QCArl274p133nFF10RUFosZukVvQ7AVFyUkvwCYn54OKErelKVWCFjSPQzd\nNqSh0FY0jKTAJmFMogFb74+E+trxJkRERERERJXAJUWM5s2bo3nz5o7tkJAQrFu3DtnZ2VAqlQgM\nDLzB0UTkCppvF0Fx6ZwsZhr9IqTwqDKPaRCswjsdgzFxZ7Yj9leGFe/8lYvX2gW7LFciIiIiIqLS\nuGROjLKEhISwgEHkBspDe6D5Za0sZu3aD/YOPcs9dmSMHx6orZPF3j+cj50pZmemSEREREREVC6X\nFTGys7Mxa9YsdO/eHfXq1UO9evXQvXt3zJo1C9nZ2eWfgIicQsjNgnbpXFlMjKwB82MTK3a8IODj\nLiGo7lf8diEBiE/MQrZZdGaqREREREREN+SSIsa///6Lrl27Yv78+bDZbOjatSu6dOkCm82G+fPn\no0uXLjh9+rQruiaia0kStEvnQpGbVRxSKGAa9wqg96vwacJ0SizsFiqLJRfY8cJuLrtKRERERESV\nxyVzYrz00kvIzc3F+vXr0b17d1nb9u3bMXLkSEydOhXfffedK7onoitU2zZAdWiPLGYZ+DjEhs3L\nOKJsPWvo8EzzAHx6NN8RW3PGiD41dXi0YcULIkRERERERLfKJXdi7N69G+PGjStRwACAHj16ID4+\nHrt27arw+ZYuXYpWrVohOjoaPXr0qPCxu3fvRnh4ODp16lThvoh8hXDpHLRfL5DF7A2bwzrwsVs+\n52vtgtAiTC2LvbQnG2fzbLd8TiIiIiIioopySREjODgYISEhZbaHhIQgOLhiKxusWbMG06ZNw+TJ\nk5GYmIgOHTrgoYcewoULF254XHZ2NsaNG4cePXrcVO5EPsFqgW7hWxCsFkdI0vnBFP8KoLz1G7C0\nSgFLe4RCpyyO5VkljN2eBZvIYSVERERERORaLilijBw5EitWrEBeXl6JtpycHKxYsQKPP/54hc61\nYMECDB8+HKNGjULjxo0xb948REdHY9myZTc87plnnkFcXBzat29/S78DkTfTrFkG5flTsph55HOQ\nomrc9rmbhKjxdnt5EfKPdAvmHyr5eiciIiIiInImp8yJsXatfOnGRo0aQRAE3HXXXYiLi0P9+vUB\nAKdPn8Y333yDyMhIxMTElHtei8WCgwcP4tlnn5XFY2NjsXfv3jKPW7p0KdLS0vDSSy/h3XffvYXf\niMh7KY8egHrLt7KYtWMv2Lr0cVofTzXxx8/JJvyUXLzM6ruH8tCrhhYdo7VO64eIiIiIiOhaQnZ2\n9m3fAx4aGgpBEByrFFz7vMyOBQEGg+GG+1y+fBlNmzbFpk2b0KVLF0d87ty5WL16Nfbv31/imKNH\nj2Lw4MH4+eefUbduXcyZMwcbNmzA7t27b9hXUlLSDduJvIEqLxtNlr4JdUHxXRGWoDAcf/p12PX+\nTu3LYAHi/tLDYBUcsepaESvuNCHIJVMGExERERGRryvvhgenfNTYuHGjM05TJkEQZNuSJJWIAYDZ\nbMZTTz2Ft956C3Xr1r2pPipyZ4inSEpK8qp8qZKIdujmTobqmgKGJAiwj38N9Zu2cUmXi4NNeOjn\nTMf2ZbMC710Kw1exYaW+RsvDa5t8Ea9r8kW8rskX8bomX+Vr17ZTihhdu3Z1xmlKCA8Ph1KpRFpa\nmiyekZGByMjIEvunpKTg+PHjmDBhAiZMmAAAEEURkiQhPDwcq1evRmxsrEtyJXI3zbrlUB0/KItZ\nBz0Oe9M7XdbnvTV1iG/qj8XHChyxzedNWHA0H8+0CHRZv0REREREVDW59KZvu92OQ4cO4fz58wCA\n2rVro02bNlAoKjafqEajQZs2bZCQkIDBgwc74gkJCRg4cGCJ/WvUqFFi+dXPP/8cCQkJWLFiBWrX\nrn0bvw2R51L+vR/qDctlMVuztrAMqtgEurfjzfbB2JduwZ8ZVkdsxv5cdIzSon2UxuX9ExERERFR\n1eGyIsaaNWvwyiuvIDU1VTZXRnR0NGbPno0hQ4ZU6DwTJkxAfHw82rVrh44dO2LZsmVISUnB6NGj\nAQDx8fEAgMWLF0OtVqNZs2ay4yMiIqDVakvEiXyFkJUB7aK3IVwzD40YHApz/CuAQnmDI51DqxSw\nrGcYemxIQ46lKAebBIz+zYDEgZEI07k+ByIiIiIiqhpcUsTYtGkTxowZg0aNGuGFF15Ao0aNAAAn\nT57EsmXLMGbMGGi1WvTv37/ccw0dOhQGgwHz5s1DamoqmjZtilWrVjnuqkhOTnbFr0DkHew26Ba9\nBUVetiMkCQqYx70GKSS80tKoG6jCgq6heGxb8WS9yQV2jPs9C9/cEw7FLcyPQUREREREdD2nrE5y\nvavzTmzevBk6nU7WZjab0a9fPwiCgG3btjm76yrB1yZmoVun+f5zaDZ8KYuZh4yGdfAot+Tzyh85\nWHA0Xxab0S4Ik1pVbH4MXtvki3hdky/idU2+iNc1+Spfu7YrNjnFTTp27BgefvjhEgUMANBqtXjk\nkUdw7NgxV3RNVGUoj+yDeuMKWczWrC2sAx9zU0bAjLuC0D5SLYu99Wcudqea3ZQRERERERH5EpcU\nMfR6PTIzM8tsz8jIgF6vd0XXRFWCYEiHbvH182CEwTzu1UqZB6MsakXR/Bih2uLhI3YJePI3AzJM\ndrflRUREREREvsElRYwePXpg8eLFJVYKAYA9e/bgv//9L3r27OmKrol8n90G3aK3IeTlOEKSoID5\nP69BCg5zY2JFagWosKibPI/LhSLGbs+CKDl99BoREREREVUhLpnYc+bMmdi9ezceeOABtG7d2jH+\nJikpCYcOHUJ0dDRmzJjhiq6JfJ5m7f+gPHFIFrMMeQL2pne6KaOS+tbSYVLLAHx4pHh+jG2XzHjv\nUB5eahPkxsyIiIiIiMibueROjNq1a2PHjh0YN24c8vPzsWHDBmzYsAH5+fkYP348fv/9d8fqIkRU\nccpDe6G5fh6M5u1gHTDCTRmV7dW2QegUrZHF5hzMQ+Jlzo9BRERERES3xiV3YgBAREQEZs+ejdmz\nZ7uqC6IqRbh8HrpFb8piYki42+fBKItKIeDzHmHotj4NmWYRACBKwJjtBmx7IBI1A1z29kNERERE\nRD7K6XdiGI1GhIWFYf78+c4+NVHVVZAH/QcvQygscIQkQQHzuFchBYW6MbEbq+GvxH97hEK4JpZm\nFDH8VwMKrKLb8iIiIiIiIu/k9CKGXq9HREQEgoI47p3IKew26BbMgCI1WRa2PDzWo+bBKEvvO3SY\n3DpQFjtssGL8Dk70SUREREREN8clc2IMHjwYa9euhSjym1ai26X5eiFURw/IYtaufWG97xE3ZXTz\nXr4zEP1q6WSx9WdNeOdgnpsyIiIiIiIib+SSQekPPPAAfv/9d/Tr1w+PP/446tatC71eX2K/du3a\nuaJ7Ip+h+u0HaH7+XhazN2wO8xOTAUEo4yjPoxAELOkRir6b0vFPls0Rf/dgHpoEqzC0vp8bsyMi\nIiIiIm/hkiLGoEGDHM/37dsH4boPW5IkQRAEGAwGV3RP5BMUxw9Bu/wDWUwMi4Lp2TcBtaaMozxX\noFqBr3uHo/cP6cgwFd+lNX5HFuoGqtA20vt+JyIiIiIiqlwuKWIsWLDAFaclqjKE9MvQf/o6BLvd\nEZM0OpgmzYIUEu7GzG5PnUAVvowNw8AfM3B1Xk+THRj+aya2DYhyb3JEREREROTxnFrEMJlM2Lx5\nM1JTUxEWFoa+ffuiWrVqzuyCyPcZC6H78GUIeTmysGnsNIh1YtyUlPN0itbiw84hmLAj2xFLMYoY\n/msmPmnkxsSIiIiIiMjjOa2IcfnyZfTv3x/nzp2DdGXFAX9/f3z99dfo1q2bs7oh8m2iCN3iWVAm\nn5GFzYOfgL19T/fk5AIjYvxxPNuGT/7Od8QOZloxM0mD1Y2lEkPQiIiIiIiIACeuTvL222/j/Pnz\nGD9+PL799lvMmTMHWq0WU6dOdVYXRD5P8/3nUP21Uxaztu8J66DH3ZSR68xoF4S+NbWy2C8ZKrx7\niCuWEBERERFR6Zx2J8Zvv/2GuLg4vP32245YVFQUxowZg+TkZNSsWdNZXRH5JNWun6H54StZzF4n\nBuanpwEKl6yG7FZKhYAlPcLQd1M6jmUXr1gy5688NA5WY3C9kisaERERERFR1ea0T0apqano2LGj\nLHb33XdDkiRcvHjRWd0Q+STlwd3QLn1HFhODQ2F6bhag1bkpK9cL0ijw9T3hCNPK34r+83sW9qSa\n3ZQVERERERF5KqcVMex2O3Q6+Yetq9smk8lZ3RD5HMXxg9B9+oZ8JRKVGqaJb0MK9/0VO+peWbFE\ndc00GEa7hId/zsTBDIv7EiMiIiIiIo/j1NVJzp49iwMHDji2c3NzAQBJSUkICAgosX+7du2c2T2R\n11GcOQ79By9DsBZ/WJcEAeYx0yA2bO7GzCpXl2pavN85BBN3Fq9YkmuVMHRrJjb3j0CTELUbsyMi\nIiIiIk8hZGdnS844UWhoaKkrCkhSyZUGrsYMBoMzuq5ykpKSEBPj/UttVnXCxbPwmz0RQn6uLG4a\n9TxssYPclJV7Tf31DBaf18hi1f0U2NI/EnUDnVpzJao0fM8mX8TrmnwRr2vyVb52bTvtU8GCBQuc\ndSoinyekXYL+3cklChjmh8dW2QIGADxVywZtUBg+vmbp1cuFIgb9mIEt/SNRw1/pxuyIiIiIiMjd\nnFbEGD58uLNOReTThKwM6N99EYrsTFnc8sAIWO+v2q8jQQBm3hWEfKuEZScKHPFz+XYM/ikDm/tH\nIELHQgYRERERUVXle+s2Enmy/Bzo3n0RivRLsrA1dhAsD45xU1KeRRAEzO8UjIcbyJdYPZljw9Cf\nMpFtFt2UGRERERERuRuLGESVxVgA/fwpUF46KwtbO90D88jnim5DIACAQhDwWddQ3F9bvuLRYYMV\nj/ySiQIrCxlERERERFURixhElcFihv7Dl6E8c0IWtt3ZBeYx0wAFX4rXUykELOsZhl41tLL43jQL\nhv9qgMnmlDmJiYiIiIjIi/CTE5GrmU3QffwalMcPycK2Zm1hGv86oOKqG2XRKgWsiA3D3VHyFUu2\nXzZj9G8GWEUWMoiIiIiIqhIWMYhcKT8H+rkvQHXkD1nY3qApTBPfBjTaMg6kq/zVCnx7bzhah6tl\n8S0XTIj7JRP5HFpCRERERFRleEURY+nSpWjVqhWio6PRo0cP7Nq1q8x9N2zYgCFDhqBBgwaoWbMm\nevfujc2bN1ditkRFhMw0+M2aCOXpf2Rxe836ML4wF9D7uSkz7xOsUWBNn3A0CZHftfLLRTMG/piB\nDJPdTZkREREREVFl8vgixpo1azBt2jRMnjwZiYmJ6NChAx566CFcuHCh1P137tyJ7t27Y9WqVUhM\nTMS9996Lxx577IaFDyJnEy6dg/7tCVBcOieL22s3gGnKfCAgyE2Zea9wnRJr+0agfqB8idU/M6zo\nuykdZ/NsbsqMiIiIiIgqi8cXMRYsWIDhw4dj1KhRaNy4MebNm4fo6GgsW7as1P3nzp2L559/Hu3a\ntUP9+vUxbdo0tGnTBps2barkzKmqUpw6Cr+3n4XCkC6L25q0gXH6R5CCw9yUmfer7qfEj/dHlhha\ncjrXjr6b0nE40+KmzIiIiIiIqDJ4dBHDYrHg4MGDiI2NlcVjY2Oxd+/eCp8nPz8fISEhzk6PqATl\noT3Qz30BQkGuLG67qztMk+cCfgFuysx3ROmV+OG+CPS8btWSVKOI+7dkYPsls5syIyIiIiIiV/Po\nZREyMzNht9sRGRkpi0dGRiItLa1C51iyZAkuXbqERx555Ib7JSUl3XKe7uBt+VYFoYd3o87G/0GQ\n5BNNZrTtjgt9RgDnzrspM+9S0Wt7dl1gplWDn9KL38byrBKGbU3HzEYW9InkPBnkOfieTb6I1zX5\nIl7X5Ku86dqOiYm5YbtHFzGuEgRBti1JUolYadavX4/XX38dn3/+OWrXrn3Dfcv7h/IkSUlJXpVv\nVaDe8i20G0oOcbIMGgXdkCcQU4HrlW7+2v66kYRX9+Xgs6MFjphNEvDqCS2UIcEY14x3vpD78T2b\nfBGva/JFvK7JV/nate3RRYzw8HAolcoSd11kZGSUuDvjeuvXr8e4ceOwaNEi9O/f35VpUlVmt0Gz\n6r/Q/LhKFpYEAeaRz8HWe7CbEqsaFIKA2R1CUN1Pidf2FQ/hkQBM25uD1EI7Xm8XVKGiJxERERER\neT6PnhNDo9GgTZs2SEhIkMUTEhLQsWPHMo9bu3Yt4uPj8dlnn2HQoEGuTpOqKCE7E7p3XyxZwFCp\nYRr/BgsYlejZFoFY3D0UqutqFR8cycdj2wzINoulH0hERERERF7Fo+/EAIAJEyYgPj4e7dq1Q8eO\nHbFs2TKkpKRg9OjRAID4+HgAwOLFiwEA33//PeLj4/HWW2+hc+fOSE1NBVBUEAkNDXXPL0E+R/nP\nn9AueguKnCxZXNLpYXpuFuzN2rops6rrkQZ+iNAp8Pg2AwpskiO+6bwJRzak4YueYWgXqXFjhkRE\nREREdLs8vogxdOhQGAwGzJs3D6mpqWjatClWrVrlmOMiOTlZtv+yZctgs9kwffp0TJ8+3RHv0qUL\nl1ml2yeKUG9cAc3akhN4isFhML3wDsS6jdyUHPW+Q4cf7ovAQz9nIsNU/N/nfL4d/TanY+ZdwfhP\nM38OLyEiIiIi8lJCdna2VP5u5El8bWIWr5GbDd3iWVD9va9Ek61ZW5jHvQopOMwNifkOZ13bZ/Ns\nGP2bAX9lWEu09a+tw2ddQxGi9ejRdORD+J5NvojXNfkiXtfkq3zt2uZf8UQVoDh5GH6vjylRwJAE\nAZZBo2B6aR4LGB6kbqAKP/aPxLhm/iXaNp83oduGNOxPt7ghMyIiIiIiuh0sYhDdiChCvfkb6OdM\ngiIrQ94UGALTi/NgGToaUCjdlCCVRasU8E7HEHwZG4YgjXz4yIV8O/ptSseCo/mQJN6MRkRERETk\nLVjEICqDYEiH7sOXof12EQRRPv+FvVFLGN9cAnuLu9yUHVXUgDp6JA6MQtsItSxuk4BX/sjB8F8N\nMJjsbsqOiIiIiIhuBosYRNez26De+h38pj8O1aE9JZot98fBOO0DSGGRbkiObsXV4SX/KWV4yZYL\nJrRfk4YVSQUQeVcGEREREZFH8/jVSYgqk+L0MWj/730ozyWVaJP8A2EaOx32Np3dkBndLo1SwJyO\nIehSTYsJO7KQYykuWGSaRTyzIxsrThZifqcQtAhT3+BMRERERETkLixiEAFAQR40338O9bb1EEr5\nNt7eoBlM41+HFFHNDcmRMz1QR4+WYWo8+ZsBB65bvWRPmgU9NqRhXLMATLszEIFq3qxGRERERORJ\n+Bc6VW2SBNXuX+E3/XFofl1XooAh6f1henwSjK9+wgKGD6kTqMKW/pF4tW0QdNfNyWqXgAVH89Fx\nTSrWnzVy4k8iIiIiIg/COzGoyhJSkqFd/iFUR/eX2m69uzcsceMhhYRXcmZUGTRKAS+2DsSD9fWY\nuicbPyWbZe2XCkWMSjCg9x1azLs7BPWD+HZJRERERORu/KucqhwhMxWaH1ZClbgZgs1aol2MvgPm\nx5/nyiNVRN1AFb65Jxybz5swdW8OkgvkK5X8etGMTutSEd80AM+2CECknsvpEhERERG5C4sYVGUI\n6ZeLihe/b4Fgt5Vol1RqWB8YDsv9wwGN1g0ZkrsIgoD76+jRs4YW8w/l4ZO/82G7ZhSJ2Q58/Hc+\nlhwrwBON/TCxZSCq+7GYQURERERU2VjEIJ8npF2C5oevoNrxIwS7vdR9bM3awjzqeUjValVyduRJ\n/NUKvHFXMB5p6IcXd2djR4pF1m60S1j4TwGWnSjAyBh/PNcyALUC+DZKRERERFRZ+Nc3+SwhNRma\njV9BtfMnCKJY6j5iRDVYhj0FW6d7AEGo5AzJUzUJUWNjvwis/teI1/blINUov37MdmDp8QL838kC\nxDX0wwutAv+/vTsPj6q6/zj+vjOTkAQSAiELQiAYSNnEQFsWsQUSsQWXPFgFEbQCClREuoBiqSAW\nH0qpaMWqFYoVBSUWZYv1wR9F2UELVBDDHgViFhKGkAWSmbm/P5KMhEkgE7NN/Lye5z73zrnn3Pud\nPIdk5ss55xITrF+nIiIiIiJ1TZ+6pWkxTSwnD+P3f+9j2/lR1cmL8OsovnMsjptuBZv+GYgnwzAY\nGRvEHR0DeeNIAS8euEB6YcX+VOKC5UcKWXG0kHuuD+SxG4Lp3sqvgSIWEREREWn69O1Nmob8PPx2\n/h+2T1KwnjpeZTVXZDuK77wfR/9blLyQagm0GUzu3oJxP2jOiqOFPH/gAqfyK05LcprwzvEi3jle\nxI/C/bi/S3NGdAokxF9PsRYRERERqU36Fie+y+XCevh/2D5JwfbZJxglnk8acVdtG03xHffj6J8A\nVnV78V4zq8H4rs25Py6Id44VsujzC5y84LnGymfZJXyWbefJPedJignk/i5BDIj0x9B0JRERERGR\n70zf5sTnGPYcbFs/xG9LCpas9KvWdbXtQHHSAzj6DQGLniYh352fxeD+uOaM7hzE6pNFPPe/Cxw5\n7/m0m0KHydvHCnn7WCGxIVbGdiltE6WnmoiIiIiI1JiSGOITjMwz2PbtwLpvO9Yjn1e51gWAaVhw\n3tifkkG34Yzvr+SF1AmbxWBUbBB3dwpkw9cX+UdqAVu+uVRp3eN5Tub+N495e/MYfF0zhkUH8PPo\nANrrySYiIiIiIl7RJ2hpnFwuLCe+/DZxcSbt2k3C21Iy6DYcA3+G2Tq87mMUAawWg6SYQJJiAkm7\n4GDF0UJWHi3kTKHnVBOnCZvOXGLTmUtM33WeG1r78fPoAIZFBxDfxg+LppyIiIiIiFyVkhjSeBQV\nYk3dj23fdqz7d2A5f+6aTUybH44f/RTHoNtwdo0HixZSlIYTE2xjVp8QZsYHszn9Em8eLeCDry9S\nUsXAoQO5JRzILWHh/y4QFWjhZ2UjNAZd14wgm/qyiIiIiMiVlMSQBmOcz8Vy5ADWI59jPXIAy9fH\nrjpN5HLO6FgcPx1GyU1DoUXLOo5UxDtWi8Et7QO4pX0AORedrDpexFtHCjhk91w7o1xGkYs3jhTy\nxpFC/CzQO8yf/pH+9Iso3YcFaFqUiIiIiIiSGFI/TBMj6wzWIwdKt8OfY8k8Xf3mFgvOH9yIs/dN\nOOJvwoxsV4fBitSesAArj/Rowa+6NyfV7uDDUxf58NRF9mQVY1bRpsQFe7KL2ZNd7C6La2lzJzUG\nRDajU7BVTzwRERERke8dJTGk9hVfwnLmJJZTJ7B8fRzLqeNYTx3HKLjg1WXMgCAcvfqVJi5u7A/N\ng+soYJG6ZxgG3Vr50a2VH7/pFUx2kZONp0sTGpvPXCLfUVVKo9SR8w6OnHew/EghAG0CLNzQ2o8e\nrfzo0dqPHq1s/CDUj2ZWJTZEREREpOlSEkNqrvgSlqx0jKx0LGfSsJw6hvXUCYxvTmGY1ZsWciVX\n22gc3X+Is/dAnN3iweZXy0GLNA7hgVbGdGnOmC7NueQ02ZZxiQ+/vsjG0xf5Kt9zUdArnb3oYnP6\nJTanf/tEFKsBXVra3ImN7q1sxIbY6NDCpuSGiIiIiDQJSmJI1UwTigqwZH+DkXUGS2bpZmSlY8k6\ngyU3+7td3mLB1TEO5w964exyA864GyAktJaCF/EdzawGie0CSGwXwEIgvcDJ7qxL7MosZldWMQdy\nS3BdfaAGUPr0k1S7g1S7g9Uni9zlBtCuuZXrQ2x0CrbSKdhGpxAbMWXHIf5aRFREREREfIOSGN9X\njhKMPDuGPQcjNxvLuWyMc2fLtmwsZXvj0sVau6UZEIjz+m4443rhirsBZ+fu0Cyw1q4v0lRc19zK\niE5BjOgUBMCFEhefZZUmNHZlFvNZdjEF15h+cjkTOF3g5HSBky3feJ4P8TNoG2SlbXMrUYEWrmtu\nLX192RYeaMHPotEcIiIiItKwlMTwdS4nFBViFOa7NwrzMQryMfLPY1ywY1wo39sx8s6XlhcV1G1Y\n4W1xRcfi6hCLMzoWV3QsZnhbPQJVpAaC/SwMaRfAkHYBADhcJifyHHxxroQvch0cPFfCF+dKOFWN\naSiVySsxyTvv4PD5qp+eAtDS3yCsmYWwAAthAVbCAiy0cb+20KqZhRB/Cy39LYT4GbT0txDsZ2BV\n8kNEREREaolPJDGWLl3Kiy++SGZmJl27dmX+/PncdNNNVdbftm0bs2bNIjU1laioKKZNm8b48ePr\nMeK6Ff3BmwR9dbg0aVHHyYirMQ0LZlgErojrMCPb44y+vjRxEX09BDZvsLhEmjqbxSAu1I+4UD9G\ndPq2/Hyxiy/LEhoHc0s4ct5BWp6TM4U1S25c6XyxyfliJycuOIGSarcL8TMIKUtshPhbaO5nEGQz\naG4zaOFnobnNcJe18LMQZDMIsBoEXrm3GgTYDAKtEGAz8LcY2JQgEREREfleafRJjPfee4+ZM2fy\n3HPP0b9/f5YuXco999zDrl27iI6O9qiflpbGyJEjGTNmDK+99hq7du3id7/7HWFhYSQlJTXAO6h9\n1qICLDlROjvVAAAXYklEQVSZ9XIv088fMywSV2S70mRFRLtvj9tEgZ9/vcQhItfW0t9C/8hm9I9s\nVqG8yGHyVb6Dk3kOTl5wcvJC+bGDr/OdlNRsHd5qyysxySupnUTKlSwGNLMY+FlL982sBn6W0nVG\n/C2lx34WA1vZ3s9SmgTyv+zYz1K6KKrNMLBaSve2sjKrxcBmgNUwSl8bYLEYWCg/X3rOUn6u7NhS\nFpvVMMg8ayXVv8hdVl7HKHvt3htGhTKj7DqGAQZGhfLyPZQfl7at8rzHa+OK9hV/rlfWv3xP2f2o\ntJzKy6uoU9n5qupVWqeSMs/rXLtWY0yFNfYnKOc7ShOndaWRv31povIdkFeH/VqkIfg3wf/wMex2\ne/UnVjeAxMREevTowYsvvugu69OnD0lJScyZM8ej/pw5c1i/fj179+51l02dOpXU1FQ++uijeom5\nrl184Sna7Nv6na5hGhbMFiGYoWGYrdpgtmqDq1V42XHp3tU6vPSxpo39k5Q0GUePHqVLly4NHcb3\niss0ybnoIr3QSUahi28KnaQXOvmmwElG2XFGoYvcSy4a9R8LEREREfEw48ZgRgZnNqnP2I16JEZx\ncTH79+9n6tSpFcoTEhLYvXt3pW327NlDQkJChbLExETefvttSkpK8PPz/Ud2Oq9YDNMMCMIMaoEZ\n1AKCmpceBzbHDG6JGRxatrX8dh8SCkHBWp9CRLAYBuGBVsIDrdwYVnU9p8vkXLGLnIsuzl4s3ede\nKj92knPRxfliF+eLTfLK9yUuLpQo9SEiIiIitadRJzFycnJwOp2Eh4dXKA8PDycrK6vSNllZWQwe\nPNijvsPhICcnh6ioqErbHT16tFZirg+2/j/j7A8H4wwIKk1oeJOMKCiGgiyg8p+fSEPzpX+L30cW\nIKJswwIElW1VcJpQ4IQLDoN8BxQ4DYqcUOQyKHTCRWfpvvx1Udn5YhdcdBlcclG2eR6XuMClQeci\nIiIiVcrNzYVg3/qMfa1RI406iVHuyvmspmledY5rZfUrK7+cLw2v0ZB7aarUt8VbDpdJscuk2AmX\nnCaXXCYlTrjkMil2mpS4oMR1+b702OEyKTFLy5wucJgmDldp0sXpMnGYpXUc5rdlzvJj08Rlgqvs\n2HlZHRMwy167THBhknchn6DmLcralNYpb19+XLo33cfmZXsXpvv15W2gvE7pNSlvU9bOfb7C62+v\nRSV1rywrd/lr87KJRWaVdao4rmRgTmVjdTzuX1mdakxwqux+1bl/TerUKh8YwOR0ubDW0YhOH3j7\n0kS5XC4sGqksTUzb8DAgo0l9xm7USYywsDCsVqvHqIuzZ896jM4oFxERUWl9m81G69at6yxWERGp\nf7ayJ5QENeK/ZkeP5tKly1Xm6oj4ICWdpSlSv5am6ujRjIYOoVY16lSjv78/8fHxbN68uUL55s2b\n6devX6Vt+vbty8cff+xRv3fv3k1iPQwRERERERGR76tGncQAmDJlCitXrmT58uUcPnyYJ554goyM\nDMaNGwfApEmTmDRpkrv+uHHjSE9PZ+bMmRw+fJjly5ezcuVKHn300YZ6CyIiIiIiIiJSCxrxANxS\nd911F7m5uSxcuJDMzEy6detGcnIyHTp0AOD06dMV6sfExJCcnMzvf/97li1bRlRUFAsWLCApKakh\nwhcRERERERGRWtLokxgADz30EA899FCl51JSUjzKbr75ZrZs2VLXYYmIiIiIiIhIPWr000lERERE\nRERERAAMu92uJ1mJiIiIiIiISKOnkRgiIiIiIiIi4hOUxBARERERERERn6AkhoiIiIiIiIj4BCUx\nRERERERERMQnKIkhIiIiIiIiIj5BSQwRERERERER8QlKYjRCS5cupVevXkRGRjJo0CB27Nhx1frb\ntm1j0KBBREZGcuONN7Js2bJ6ilSk+rzp1+vWrWPEiBHExsbSvn17EhMT+eCDD+oxWpHq8/Z3drmd\nO3cSFhbGgAED6jhCEe9526+Li4t59tln6dWrFxEREfTs2ZNXX321nqIVqR5v+/W7777LzTffTNu2\nbYmLi2PixIlkZmbWU7Qi17Z9+3buvfdeunXrRmhoKCtWrLhmmy+++ILhw4cTFRVFt27dWLBgAaZp\n1kO0tUdJjEbmvffeY+bMmfzud79jy5Yt9O3bl3vuuYdTp05VWj8tLY2RI0fSt29ftmzZwm9/+1se\nf/xx1q5dW8+Ri1TN2369fft2fvrTn5KcnMyWLVsYOnQoY8eOrfaXQ5H64m3fLme325k8eTKDBg2q\np0hFqq8m/XrChAls2rSJv/71r3z66af885//pEePHvUYtcjVeduvd+3axaRJkxg9ejQ7d+5kxYoV\npKam8vDDD9dz5CJVKygooHv37vzpT38iMDDwmvXz8vIYMWIEERER/Oc//+FPf/oTixcv5qWXXqqH\naGuPYbfbfSvt0sQlJibSo0cPXnzxRXdZnz59SEpKYs6cOR7158yZw/r169m7d6+7bOrUqaSmpvLR\nRx/VS8wi1+Jtv65MQkICAwYM4Nlnn62rMEW8VtO+PXbsWHr27Ilpmqxbt46dO3fWR7gi1eJtv/7P\nf/7Dgw8+yL59+wgLC6vPUEWqzdt+vXjxYv7+979z8OBBd9lbb73FE088wZkzZ+olZhFvtGvXjj//\n+c+MGTOmyjr/+Mc/ePrppzly5Ig76bFw4UKWLVvGoUOHMAyjvsL9TjQSoxEpLi5m//79JCQkVChP\nSEhg9+7dlbbZs2ePR/3ExET27dtHSUlJncUqUl016deVyc/PJzQ0tLbDE6mxmvbtpUuXkpWVxYwZ\nM+o6RBGv1aRfp6Sk0Lt3b/72t7/RvXt3+vTpw+OPP05+fn59hCxyTTXp1/369SMzM5N///vfmKZJ\nTk4O7733HkOHDq2PkEXqxJ49exgwYECFURuJiYl88803fPXVVw0YmXeUxGhEcnJycDqdhIeHVygP\nDw8nKyur0jZZWVmV1nc4HOTk5NRZrCLVVZN+faUlS5aQnp7OqFGj6iJEkRqpSd/+4osvWLBgAa+9\n9hpWq7U+whTxSk36dVpaGrt27eLgwYMsX76chQsXsmnTJh555JH6CFnkmmrSr/v27cvSpUuZOHEi\n4eHhxMbGYpomr7zySn2ELFInqvruWH7OVyiJ0QhdOYzHNM2rDu2prH5l5SINydt+XW7t2rXMnj2b\n1157jQ4dOtRVeCI1Vt2+fenSJSZMmMAf//hHYmJi6ik6kZrx5ne2y+XCMAyWLFnCj370IxITE1m4\ncCHr1q3zqQ/F0vR5069TU1OZOXMmM2bM4OOPP2b16tVkZmby61//uj5CFakzTeG7o62hA5BvhYWF\nYbVaPf7gnz171iNjVi4iIqLS+jabjdatW9dZrCLVVZN+XW7t2rVMnjyZV199leHDh9dlmCJe87Zv\nZ2RkkJqaypQpU5gyZQpQ+uXPNE3CwsJ49913PYY6i9S3mvzOjoyMpG3btrRs2dJdFhcXB8Dp06eJ\niIiou4BFqqEm/XrRokX06dOHxx57DICePXsSFBTEsGHDeOqpp2jfvn2dxy1S26r67ghc83N5Y6KR\nGI2Iv78/8fHxbN68uUL55s2b6devX6Vt+vbty8cff+xRv3fv3vj5+dVVqCLVVpN+DfD+++8zadIk\nXn75ZZKSkuo6TBGvedu3r7vuOnbs2MHWrVvd2/jx47n++uvZunUrffv2ra/QRapUk9/Z/fv3JyMj\no8IaGMePHwcgOjq67oIVqaaa9OuioiKPaX/lr33tcZQi5fr27cvOnTu5ePGiu2zz5s20bduWjh07\nNmBk3rHOnDnz6YYOQr4VHBzM/PnziYqKIiAggIULF7Jjxw5eeuklWrZsyaRJk9iwYQN33HEHAJ06\ndeKFF14gOzub6OhoPvjgA5577jnmzZtH165dG/jdiJTytl+vXr2aiRMnMnfuXG699VYKCgooKCig\npKSkWo+PEqkv3vRtq9VKeHh4hW3v3r0cP36cJ598En9//4Z+OyKA97+zO3fuzIoVK9i/fz9du3bl\n+PHjzJgxg4EDB151lXyR+uRtvy4qKmLx4sWEhYXRunVr9/SSyMhIpk2b1sDvRqRUfn4+qampZGZm\n8uabb9K9e3dCQkIoLi6mZcuWzJ07l0WLFjF69GgAYmNjef311zlw4ABdunRh586dzJ49m1//+tdX\n/c/FxkbTSRqZu+66i9zcXBYuXEhmZibdunUjOTnZvRbA6dOnK9SPiYkhOTmZ3//+9yxbtoyoqCgW\nLFig/7mWRsXbfr1s2TIcDgdPPvkkTz75pLt84MCBpKSk1GvsIlfjbd8W8QXe9usWLVqwZs0aHn/8\ncRISEggNDeW2226r9iO0ReqDt/16zJgx5Ofns2TJEv7whz8QEhLCT37yE+bOndsQ4YtUat++fe7E\nG8D8+fOZP38+o0eP5pVXXiEjI4OTJ0+6z7ds2ZL333+f6dOnM2TIEEJDQ5kyZQqPPvpoQ4RfY4bd\nbtd4KBERERERERFp9LQmhoiIiIiIiIj4BCUxRERERERERMQnKIkhIiIiIiIiIj5BSQwRERERERER\n8QlKYoiIiIiIiIiIT1ASQ0RERERERER8gpIYIiIi3wM33HADv/rVr9yvv/rqK0JDQ1mxYoXX1/ou\nbUVERES+CyUxREREfNzy5csJDQ3lxz/+cUOHUmO33XYboaGhlW779u1r6PBERESkkbA1dAAiIiLy\n3SQnJ9OhQweOHj3K3r176dOnT0OHVCNRUVHMnTvXozwmJqb+gxEREZFGSUkMERERH3bmzBl27NjB\n0qVLeeqpp1i1apXPJjGCg4MZNWqUV20KCgpo3rx5HUUkIiIijY2mk4iIiPiwd999l6CgIIYNG8aI\nESN4//33cTqdNb5eRkYGU6dOJS4ujoiICPr27cvSpUvrvG11lE+b2bZtGzNmzKBLly507NjRfd5u\ntzNz5kx69uxJeHg48fHx/OUvf8HlclW4zrlz55g0aRIdOnSgY8eOPPLII+zfv5/Q0FBWrVrlrvfz\nn/+cpKQkjzgmTpxI7969K5S5XC5efvllBgwYQGRkJJ07d2bq1Knk5uZWqNe9e3dGjRrF9u3bGTJk\nCJGRkcTHx5OcnOxxH7vdzqxZs+jVqxcRERF0796dhx9+mIyMDOx2O5GRkcyaNcujXXZ2Nm3atGHe\nvHnV+8GKiIj4EI3EEBER8WHJyckMHz6cwMBA7r77bl566SU2b97MLbfc4vW1srOzueWWW3C5XEyY\nMIHw8HA++eQTpk+fzrlz55gxY0adtC3ndDrJycmpUObv709wcHCFsunTp9OqVSumT5/OhQsXACgs\nLOS2224jPT2d8ePHEx0dzaeffsqzzz7LmTNneP7554HSZMPo0aPZs2cPEyZMoEuXLmzYsIEpU6Z4\n++OqYNq0abz99tvcd999TJw4kdOnT/Paa6+xb98+Nm3aRLNmzdx1T5w4wbhx43jggQe47777WL58\nOZMnT6Z379506dIFgPz8fIYPH87hw4cZO3YsN954I7m5uWzcuJG0tDT69+/PsGHD+Ne//sUzzzyD\n1Wp1X3/16tU4HA5Gjhz5nd6TiIhIY6QkhoiIiI86ePAghw4dYvbs2QDEx8cTGxtLcnJyjZIY8+bN\no7i4mB07dtCmTRsAxo8fz2OPPcaiRYt4+OGHCQ0NrfW25U6cOEFsbGyFsjvvvJPly5dXKAsJCWH9\n+vXYbN9+jFm8eDFpaWls2bLFfY0HH3yQ6OhoFixYwNSpU7n++utZv349u3btYt68eTz66KMATJgw\ngdtvv92Ln1RF27dv580332TJkiXcc8897vIhQ4Zw++23k5yczP333+8uP3r0KB9++CH9+/d3v8ee\nPXuyYsUKnn76aQBeeOEFDh06xJtvvskdd9zhbjt9+nRM0wTg3nvvZc2aNXzyySckJCS46yQnJ9On\nTx/i4uJq/J5EREQaK00nERER8VGrVq2iVatWJCYmust+8YtfkJKSQkFBgVfXMk2TtWvXcuutt2IY\nBjk5Oe4tISGBoqIi/vvf/9Z628u1b9+eNWvWVNieeOIJj3q//OUvKyQwANasWcOAAQMIDQ2tcP/B\ngwdjmibbtm0D4KOPPsJmszFu3Dh3W6vVykMPPeTNj8vj3iEhIQwZMqTCvbt160br1q3ZunVrhfpd\nu3Z1JzAAIiMjiY2NJS0tzV22du1aevbsWSGBUc4wDABuueUWIiIieOedd9znjh07xt69e71eW0RE\nRMRXaCSGiIiID3K5XKxevZqBAwdy6tQpd/kPf/hDCgoKSElJ8Wo6wdmzZ7Hb7bz11lu89dZbldbJ\nzs6u9baXCwwMZPDgwdes16lTJ4+yY8eO8eWXX3qM5Lg8RoBTp04RFRXlsRhoVe2q49ixY+Tl5dG5\nc+er3rtc+/btPeqEhoZit9vdr9PS0hgxYsRV72uz2bj77rt544033Aucrlq1CpvNxi9+8YsavBMR\nEZHGT0kMERERH7R161bS09NJT09nw4YNHueTk5O9SmKUL3559913M3bs2ErrdO3atdbb1kRgYKBH\nmWmaDBkyhGnTplXapjzxUT4VozrKRzxc6cqFU10uF+Hh4SxZsqTS+q1atarw+vL1Ky7nTWzl7r33\nXl5++WV30upf//oXiYmJ7ik9IiIiTY2SGCIiIj5o1apVhIWFsWjRIo9zmzZtYsWKFWRnZxMeHl6t\n67Vp04bg4GAcDke1RkPUVtvaEhMTQ0FBwTXv36FDB3bs2OHxaNbjx4971G3ZsiUZGRke5ZePfIHS\nBMm2bdvo169fpQmWmoiJieHQoUPXrNerVy969OjBqlWr6NixIydPnnSvkSIiItIUaU0MERERH3Px\n4kU2bNjA0KFDSUpK8tgeffRRnE4nq1evrvY1rVYrd955JykpKRw4cMDj/JVTImqrbW0ZMWIEe/bs\nYdOmTR7n8vLyKC4uBmDo0KE4HA5ef/1193mn01npo2A7depEampqhcek7t+/n88++8zj3k6nk4UL\nF3pcw+FwVJgmUl1JSUkcPHiQ9evXe5y7csTG6NGj+fjjj3nppZcICQlh2LBhXt9PRETEV2gkhoiI\niI/54IMPyMvLq/LLalxcHJ07dyY5OZnJkydX+7pPP/0027Zt49Zbb+WBBx6gW7du2O12Dhw4wIYN\nG8jMzKyTtrXhN7/5DRs3bmTUqFHcd999xMfHU1BQwJdffsm6devYvXs37dq144477uDHP/4xs2fP\n5quvviIuLo7169eTl5fncc3777+fV199lbvuuosxY8aQlZXFP//5T7p27UpRUZG73qBBgxg3bhyL\nFi3iwIEDDB48GH9/f06cOMG6deuYPXu21wttTps2jfXr1/Pggw8yduxY4uPjsdvtbNy4kTlz5lRY\nGHTkyJHMmTOH9evX88ADDxAQEFDzH6SIiEgjpySGiIiIj0lOTsbf37/CYzWvNGzYMBYvXsyxY8eq\nXHDySuHh4WzatIk///nPpKSksGzZMlq1akVcXBx//OMf66xtbQgKCiIlJYVFixaxZs0a3nnnHYKD\ng4mNjeXxxx93rxFhsVhYtWoVM2fO5J133sFisTB8+HCeeeYZj6ko3bt355VXXmH+/PnMmjWLrl27\nsmTJElauXMmnn35aoe7zzz9P7969WbZsGfPmzcNmsxEdHc1dd93FzTff7PX7CQ4O5sMPP2T+/Pmk\npKSwcuVKIiIiGDhwIDExMRXqRkREkJiY6E7iiIiINGWG3W73fhUpERERkSbkxIkT9OnTh7///e8+\nmQgYM2YMn3/+OZ9//nmVC5KKiIg0BVoTQ0RERMSHZWRksHHjRu69914lMEREpMnTdBIRERERH5SW\nlsbu3bt54403sNlsTJgwoaFDEhERqXMaiSEiIiLig7Zs2cKkSZP4+uuvefXVV4mKimrokEREROqc\n1sQQEREREREREZ+gkRgiIiIiIiIi4hOUxBARERERERERn6AkhoiIiIiIiIj4BCUxRERERERERMQn\nKIkhIiIiIiIiIj7h/wH+IUzI0j/DnAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6533068e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 1, 100)\n",
    "xs = xs.reshape((len(xs), 1))\n",
    "\n",
    "fig, axs = graph.subplots(3, 1, sharex=True, figsize=(16, 12))\n",
    "axs[0].hist(results, bins=250, normed=True)\n",
    "axs[0].set_ylabel('Density')\n",
    "axs[1].hist(results_snp_calling, bins=250, normed=True, alpha=0.66, label='$H_0$')\n",
    "axs[1].set_ylabel('Density')\n",
    "axs[2].plot(xs, logit.predict_proba(xs))\n",
    "axs[2].set_ylabel('Probability')\n",
    "graph.xlabel('Allele Frequency')\n",
    "graph.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "_Stephen Anthony Rose_"
   ]
  }
 ],
 "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": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}