{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Adaptive Thresholding\n", "This tutorial will go over some basic concepts you may wish to consider when setting thresholds for production models or otherwise." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Make Some Data\n", "This tutorial doesn't actually require real data--nor even a model! We'll make some fake data to get the idea. Don't worry too much about this step. Let's just assume we have a series of scores. These could represent model performance, divergences, or model scores themselves. Throughout this tutorial, we'll assume that increasing values of this score will be increasingly likely to represent a good alert. Then we are left to determine an appropriate threshold to balance true/false positive/negatives. This is balancing time wasted on bad alerts with the utility gained from finding a good alert that resulted from a lower score." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Ground TruthModel Score
00.00.677909
10.00.327262
.........
35980.00.185715
35990.00.113929
\n", "

3600 rows × 2 columns

\n", "
" ], "text/plain": [ " Ground Truth Model Score\n", "0 0.0 0.677909\n", "1 0.0 0.327262\n", "... ... ...\n", "3598 0.0 0.185715\n", "3599 0.0 0.113929\n", "\n", "[3600 rows x 2 columns]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy\n", "import pandas\n", "\n", "numpy.random.seed(0)\n", "pandas.options.display.max_rows=5 # restrict to 5 rows on display\n", "\n", "n_positive = 600\n", "positives = numpy.random.beta(5, 1, size=n_positive)\n", "n_negative = 5 * n_positive\n", "negatives = numpy.random.beta(2, 3, size=n_negative)\n", "data = pandas.DataFrame(numpy.asarray((numpy.concatenate((numpy.ones(n_positive),\n", " numpy.zeros(n_negative))),\n", " numpy.concatenate((positives,\n", " negatives)))).T,\n", " columns=['Ground Truth', 'Model Score'])\n", "data = data.sample(frac=1, random_state=0).reset_index(drop=True)\n", "data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Positive and Negative Distributions\n", "\n", "We want to determine the trade off between catching more true positives and getting more false negatives. Let's see what the distribution of scores associated with good (positive) and bad (negative) alerts looks like." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns; sns.set(font_scale=2)\n", "import matplotlib\n", "import matplotlib.pylab as plt\n", "import numpy\n", "\n", "plt.figure(figsize=(10, 2))\n", "plt.title('Positive Scores')\n", "plt.xlabel('Model Score')\n", "plt.yticks([])\n", "positives = data[data['Ground Truth'] == 1]['Model Score'].sample(100, random_state=0).values\n", "sns.rugplot(positives,\n", " height=1.0,\n", " color='green',\n", " label='Positive Samples')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 2))\n", "\n", "plt.title('Negative Scores')\n", "plt.xlabel('Model Score')\n", "plt.yticks([])\n", "negatives = data[data['Ground Truth'] == 0]['Model Score'].sample(100, random_state=0).values\n", "sns.rugplot(negatives,\n", " height=1.0,\n", " color='red',\n", " label='Negative Samples')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot an approximation of the probability distribution of positive and negative scores given our sample data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "\n", "plt.title('Positive Score Distribution')\n", "plt.xlabel('Model Score')\n", "plt.ylabel('Probability Density')\n", "positives = data[data['Ground Truth'] == 1]['Model Score'].values\n", "sns.kdeplot(positives,\n", " color='green',\n", " label='Positive Score Distribution')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "\n", "plt.title('Negative Score Distribution')\n", "plt.xlabel('Model Score')\n", "plt.ylabel('Probability Density')\n", "negatives = data[data['Ground Truth'] == 0]['Model Score'].values\n", "sns.kdeplot(negatives,\n", " color='red',\n", " label='Negative Score Distribution')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It will also be important to keep in mind the distribution of model scores." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "\n", "plt.title('Score Distribution')\n", "plt.xlabel('Model Score')\n", "plt.ylabel('Probability Density')\n", "scores = data['Model Score'].values\n", "sns.kdeplot(scores,\n", " color='blue',\n", " label='Score Distribution')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing Optimal Thresholds\n", "When scoring a model after choosing a threshold, each model score can be associated with one of four possible outcomes:\n", "\n", "1. Positive instance is scored above the threshold.\n", "2. Negative instance is scored above the threshold.\n", "3. Negative instance is scored at or below the threshold.\n", "4. Positive instance is scored at or below the threshold.\n", "\n", "Let's say each of these outcomes has an associated probability $p$ and an associated utility $u$ as determined by the business:\n", "\n", "1. $p_\\mathrm{tp}$, $u_\\mathrm{tp}$\n", "2. $p_\\mathrm{fp}$, $u_\\mathrm{fp}$\n", "3. $p_\\mathrm{tn}$, $u_\\mathrm{tn}$\n", "4. $p_\\mathrm{fn}$, $u_\\mathrm{fn}$\n", "\n", "Then the expected utility of a scored sample with unknown ground truth is\n", "\n", "$u = p_\\mathrm{tp}u_\\mathrm{tp} +\n", "p_\\mathrm{fp}u_\\mathrm{fp} +\n", "p_\\mathrm{tn}u_\\mathrm{tn} +\n", "p_\\mathrm{fn}u_\\mathrm{fn}$\n", "\n", "For the purposes of this experiment, let's say the business would be 10 times as disappointed to learn of a false negative than they would be to have to pay for analysts wasting their time on a false positive." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def utility(tp, fp, tn, fn):\n", " return -10 * fn - fp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing Utility of Each Threshold\n", "Let's plot expected utility against some candidate thresholds. The algorithm below will generate a plot with error bars over the expected value. If you need to interpret them, you can say _there's a 50% chance the true utility of each threshold falls within the shaded region_." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:absl:No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mvtk import thresholding\n", "\n", "plt.figure(figsize=(10, 10))\n", "plt.title('Expected Utility vs Threshold')\n", "plt.xlabel('Threshold')\n", "plt.ylabel('Expected Utility')\n", "\n", "scores, utility_mean, utility_quantiles = thresholding.expected_utility(\n", " utility, data[['Ground Truth', 'Model Score']].values)\n", "thresholding.plot_err(scores,\n", " utility_mean,\n", " utility_quantiles,\n", " label='Expected Utility')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding the Optimal Threshold\n", "\n", "This is the threshold that corresponds to the peak of the utility function plotted above.\n", "\n", "You don't need to worry about the mechanics of this function, you can just copy and paste it." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.6114780190088583, -0.2845361056272087)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "thresholding.optimal_threshold(utility, data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimal Threshold Distribution\n", "If we know our sample of positives and negatives is unbiased (e.g. the analysts were equally likely to label any instance of their data), we can generally express our uncertainty in the location of the optimal threshold (which stems from our uncertainty in the utility function) to compute a distribution over what our optimum threshold might be given the data we have so far.\n", "\n", "You don't need to worry about the mechanics of this function, you can just copy and paste it." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAogAAAJ+CAYAAAAwgvG+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAB8NElEQVR4nO3dd3hUddrG8XsmvRBqKNJbwiIdAQvqUpRlFUEXXcVFQbGAiK/KsmJbBRfFVUFsrIqgNJEu2FCUUEWpIr33EiCU1ElmzvvHOAMhmZBJzmRmku/nurxGzjlz8oTDkJtftRiGYQgAAAD4g9XfBQAAACCwEBABAACQCwERAAAAuRAQAQAAkAsBEQAAALkQEAEAAJALAREIQO+8844SExO9/u/QoUOSpL59+yoxMVFTpkzx83fiPdf3smPHDp9+Hdfv8ZAhQwr9nh07drjrKyzXs7j0v6ZNm6p169a6+eab9fTTT2vlypUe7/HMM88oMTFRo0ePLvTX9eTkyZM6d+6cV+/J7+uvXr1aiYmJ6tChQ7FrKqzdu3fnOda5c2clJibqp59+KrE6gLIg1N8FAMirRo0aatOmTZ7jv//+u2w2m+rVq6dKlSrlOR8REVES5aEIatSooRo1arh/7XA4lJaWpgMHDmj//v1auHChevbsqVGjRik01Dd/NU+aNEnvvPOOpk+frri4OJ98DV9ITU3VG2+8oUWLFhUYpAGYh4AIBKDevXurd+/eeY537txZhw8f1iOPPKI77rjDD5WhqP72t7/p8ccfz3PcZrNp7ty5GjVqlObPn6+wsDD95z//yXXNU089pYceekgVK1YsVg2vvvpqkd5n1tcvqs2bN2v69OmqUKFCnnOTJk1SdnZ2rvANoPgIiADgR+Hh4fr73/+u+Ph4DRw4ULNmzdItt9yia6+91n1N1apVVbVqVb/V6O+vX5A6der4uwSgVGIMIgAEgM6dO+vmm2+WJH3wwQd+rgZAWUdABEq5NWvW6KGHHlK7du3UunVr3XHHHZo+fbou3YbdNWljwoQJmjZtmq6//nq1aNFCt956q/bv3+++7uDBg3rxxRfVuXNnNWvWTB06dNAjjzyiVatW5fv1bTabJk6cqL/97W9q1aqVWrRooa5du+r555/Pd9KBi2EYmjVrlnr37q1WrVqpffv2euCBBzx+HUlatGiRHnzwQbVv317NmjVTp06d9Oyzz2rv3r1e/Z4lJydr1KhR6tKli1q0aKHu3bvrs88+k8Ph8Oo+3nINK1i7dq3Onz/vPu5pksqpU6f06quvqlu3bmrWrJnatGmjnj17auzYsTpz5oz7OtezdenRo4cSExO1evVqSRcm0qxbt04vv/yy2rRpozZt2qhfv35yOByXnSRz/vx5vfLKK7r++uvVvHlz3XLLLfrggw+UmZmZ59qCJiGlpaXlO+HqvvvukySdOXMmzyShgiap/Pzzz3rsscd07bXXqlmzZurYsaOefPJJbdq0Kc+1rkk3jzzyiNLT0/XWW2/ppptuUvPmzXXddddp6NChXv85AoIZXcxAKbZw4UK98sorioyMVP369XX8+HFt3rxZmzdv1u7du/X888/nec+iRYu0YcMG1axZUzVr1lR6erpq164tSVq2bJmGDBmi9PR0RUVFqXHjxjp9+rSWLFmiJUuW6PHHH9fgwYPd9zIMQ4MHD1ZSUpJCQ0NVt25dRUREaN++fZo5c6YWLlyoTz/9VC1btsxTx0svvaR169apYsWKql+/vvbt26cVK1Zo5cqVGjt2rP7yl7+4r3U4HBo2bJgWLFggyTkhpHbt2tq7d69mz56thQsX6o033nC30BVk79696t+/v44eParIyEg1btxYx48f13/+8x9dddVVXj8Db7Ru3VqSZLfbtW7dOt14440erz116pR69+6tI0eOKCYmRo0aNVJOTo527dqlbdu26euvv9bMmTNVvnx596SndevWSZKaNm2qyMhIlStXLtc9R48erQ0bNighIUFnzpxRfHy8rNaC2xGys7N17733avv27apdu7bq16+vnTt3auzYsfr+++/16aef5vk63nDVsmPHDoWGhqpFixaFet+bb76pDz/8UJJUpUoVNWnSRAcPHtTXX3+tb7/9Vs8995z+8Y9/5HlfWlqa+vTpo61bt6p69epq2LChduzYoQULFmjp0qWaPXu2+/MAlGa0IAKl2Pr163Xrrbdq6dKlmjt3rpYvX64HHnhAkjRlyhSdOHEiz3s2bNig+++/X4sXL9Y333yjWbNmyWq16tChQ/q///s/paena9CgQfrll180d+5cJSUl6f3331dsbKzeeecd/fDDD+57JSUlKSkpSfXq1dPixYv19ddfa+7cuVq2bJm6du2qjIwMvfXWW/nWvmHDBj3zzDNavny55s6dq6VLl6pDhw4yDENvv/12rmvff/99LViwQOXKldP48eO1ZMkSzZ49WytXrlS/fv2UlZWloUOHXnbpHMMwNHz4cB09elQdO3ZUUlKSZs+eraVLl+pf//qX1q5d6+0j8EpcXJxiY2MlKd9nc7GPP/5YR44c0V/+8hctX75c8+bN08KFC/Xtt9+qbt262r9/v3uZo969e2v69Onu944ePVrTp09X06ZNc91zw4YNevfdd7VgwQIlJSXpueeeu2zNrpnY7733nn744Qd9+eWX+vLLL1WzZk1t3rxZ//3vf739bcjlhRdecP9DJjY2VtOnT8/1veRn3rx5+vDDD90TfpYvX65Zs2Zp5cqVGjp0qAzD0CuvvKIVK1bkee+vv/6qkydPatKkSUpKStK8efO0YMECxcfH6+zZs5owYUKxvh8gWBAQgVKsXr16eu2119xLmlitVj355JOKi4uTYRjauHFjnveEhYXpiSeekMVikST3cjqffPKJUlNT1atXLz3xxBMKDw93v6dLly56+umnJUnvvvuu+7grkN1www2qXr26+3hsbKyGDx+ujh07qnHjxvnWfvvtt6t///7uJV/KlSunoUOHSpL27Nmjs2fPSpLS09P1ySefSJJGjBihTp06ue8RGRmp4cOHq0uXLsrKytL7779f4O/XmjVrtH79esXFxWnMmDHuWbNWq1UPPPCAevbsWeD7zRATEyNJSklJKfA61+9tjx49FB0d7T5eu3ZtDR06VJ07d/Z61nHr1q110003SXJ+z/nNGs7PP//5T3Xt2tX968aNG+v111+XJM2ZM0enT5/2qo7icv0ZHDJkiHr37u3+sxwSEqKHHnpIffv2lWEYGjt2bL7vf/bZZ3XNNde4f92wYUP16dNHkvL9zAClEQERKMU6deqUZ0298PBwdxfZxePUXBISEtwh5WI//vijJOmWW27J92vdcsstslgs2rp1q5KTkyXJ/XVmz56tmTNn5go9tWrV0oQJE/Lt5paUK3C4NGzY0P3/rtrXrFmjtLQ0VapUKVe388X69u0rSVq6dKnsdnu+10jOLnRJuvHGG/NdJzC/pYfMlp2dLUnuUOOJa/buG2+8oaSkJGVlZbnP3Xzzzfrggw/coaawWrVq5V2xcv55ym/Jpauuukp169ZVdna2e6xjSdi9e7cOHjwoq9Wqu+++O99rXGMaf/vtN506dSrXOYvFohtuuCHPe+rXry/JuSYjUBYwBhEoxTwtTeIKgBeHCpf4+Pg8x1JTU3X06FFJ0pgxYzzOsg0JCVFOTo727t2r+Ph4denSRS1bttTGjRv1/PPP68UXX1Tz5s3VsWNHderUSc2bN/eq9ouDq6v2ffv2SXJOfvA0Xu7KK6+U5OwOPXnypKpVq5bvda57NWrUKN/z3uygUlSuAHK5hawfeOABff3119q7d68efvhhRUVF6aqrrtL111+vLl26qFatWl5/7fye/eXUq1dPUVFR+Z5r1KiR9u/fX6KTO1zPsFatWh5/D2vXrq1y5crp/Pnz2rdvnypXruw+Fx0d7e7mv1hkZKQkFfgPDKA0oQURKMUu7gYurPx2Y0lLS3P//5YtW7Ru3bp8/8vJyZEk9wzc8PBwffbZZ3riiSdUt25dORwObdy4Ue+995569+6tW2+91eO4vsLW7qotv1ZPl4u7YAtqAXKd8xR4ypUrd9mWveI4dOiQbDabJKlBgwYFXlu7dm3Nnz9ff//731WxYkVlZGRo2bJl7tnXDz/8sI4fP+7V1y/KTjyF+X3PbzazrxTmz4N0obaL/2xLziEWAGhBBFAIFwemVatW5bvNnyeRkZEaNGiQBg0apL1792rVqlVasWKFli1bpp07d2rAgAH69ttvPbbqXY7rB31Bwe/iJWMKCg6uFqf09PR8z2dlZeVZHshM69evl+QMKZdOIMlP9erVNWLECL300kvatGmTVq1apaVLl2rdunVKSkrSo48+qjlz5vg01Hr6vZIuhK/8ZjHn9/toRpAszJ8H6cKfiYv/8QDgAloQAVxWXFycOxTu2bMn32vsdrtWrlyp/fv3u7vhUlJStHbtWvckhfr166tPnz5677339P333ys+Pl7p6em5Zj57yzU2bPv27R7XKdy8ebMkZ9AtaEcQ1722bt2a7/mC1m00w5w5cyQ5x0BergXs6NGjWrlypQzDkNVqVcuWLfXoo49q2rRpmjhxoiRna++uXbt8WvPBgwc9drtu27ZNknJNRAoJCZEkd0vpxVxjV4vD9QwPHz6sc+fO5XvN3r173cG2bt26xf6aQGlEQARQKK41+T7//PN8zy9YsED9+/dXr1693D98hw4dqj59+mjWrFl5rq9WrZq7G7U447ratm2r2NhYpaSk6Ntvv833mqlTp0qSrr766gLX9evSpYsk52SW/Lpn586dW+Q6L+eHH37QypUrJUkPPvhggdfabDbdeuut6t+/f76zaq+66ip3V+nFv7eulkQzW0HT09O1aNGiPMeTkpLcazRevH6kq5U2v3GJixcvzvdrXG4txos1bNhQderUkcPh8Phn1fXnISEhoUjjLoGygIAIoFAGDBigiIgILViwQGPGjMk1wWXZsmUaMWKEJOnOO+90dyn26NFDknPruOXLl+e63zfffKO1a9fKarWqY8eORa4rJiZG/fv3lyS9+OKLWrJkiftcVlaWXn31Vf34448KCwvTkCFDCryXa/eVjIwMDR48WMeOHXOfmzlzpqZNm1bkOj1JS0vTp59+qqeeekqSdO+996pNmzYFvic8PNy96Pfzzz+fK2zZbDa99dZbys7OVs2aNXNNuHF1px45csTU78G1qLnLxo0bNXz4cElS//79c036cC0G/sEHH7jXejQMQ1999ZV7YetLXdxt7FreqCCPPfaYJGncuHGaPXu2OxDb7XZ9/PHH7vUhXUszAciLMYgACqVRo0YaPXq0hg0bpvHjx2vy5MmqX7++UlJSdPjwYUnStdde616rUJJ69uypH3/8Ud99950efPBBVa9eXVWqVNGJEyfc4eCpp5667ISMyxk4cKD27Nmjr776So888oiuuOIKVa5cWXv27FFaWpqioqL0yiuvFGpc38iRI/XAAw/ot99+U9euXZWQkKDTp0/r6NGj6tSpU75buhWGa+FuF7vdrnPnzungwYPuyT133nmnnn322ULdz7Vw986dO3XLLbeodu3aiomJ0cGDB3Xu3DlFRERo1KhRuZY5cm2n5/o9f/LJJ4sVziVnK5zNZtM999yjhg0bymq1aufOnZKcSxUNHDgw1/UDBw7UypUrtWfPHnXt2lUNGzbUqVOndPz4cXXr1k179+7Ns6B53bp1FRkZqczMTP31r39VtWrVNGnSJI+zlHv16qUdO3ZowoQJevbZZzVmzBhVr15dBw8e1JkzZxQSEqJ//vOf+vOf/1ys7x0ozWhBBFBo3bt317x589S7d29VqFBB27dvV0pKipo3b65nn31WH374Ya7ZxxaLRW+++aaee+45tWrVSqmpqdq2bZsMw9BNN92kSZMm6ZFHHil2XSEhIXrzzTc1ZswYXXvttUpLS9P27dtVuXJl9enTR3PnztWtt95aqHvFx8dr2rRpeuyxx1SzZk3t2rVLVqtVgwcP1htvvFHkGo8ePZprxvdvv/2m48ePq169errzzjv1+eef65VXXsmzbqUnFSpU0Oeff64HHnhA9evX17Fjx7Rz507FxcXprrvu0oIFC3T11Vfnes+oUaPcu9Hs27cv1x7bReXa3eSOO+7Q6dOndeDAATVt2lQvvfSS3nnnnTzfT4sWLTRjxgx169ZNUVFR2r17t8qXL6/nnntOY8eOzbc7OTY2VmPHjlXjxo119uxZHT16VAcOHCiwrmHDhmnixInq1KmTcnJytG3bNsXExKhXr1764osv3K3OAPJnMXw5JQ8AAABBhxZEAAAA5EJABAAAQC4ERAAAAORCQAQAAEAuBEQAAADkQkAEAABALiyUnY+UlDQ5HKz+E4wqV47VqVOp/i4DRcCzC248v+DFswteVqtFFSsWvG97UREQ8+FwGATEIMazC148u+DG8wtePDtcii5mAAAA5EJABAAAQC4ERAAAAORCQAQAAEAuBEQAAADkQkAEAABALgREAAAA5EJABAAAQC4ERAAAAORCQAQAAEAuBEQAAADkQkAEAABALgREAAAA5EJABAAAQC4ERAAAAORCQAQAAEAuBEQAAADkQkAEAABALgREAAAA5EJABAAAQC4ERAAAAORCQAQA+ExKimQY/q4CgLcIiAAAn/jxxxAlJpbTtGlh/i4FgJcIiAAAn0hKCpUk7dlj8XMlALxFQAQA+ERqquuVgAgEGwIiAMAnzp615HoFEDwIiAAAn3AFw5QUAiIQbAiIAACfOHfOGQzPnCEgAsGGgAgA8AlaEIHgRUAEAPjEuXPOV9dkFQDBg4AIAPAJ1+zlzExaEIFgQ0AEAJjOMC4Ew8xMPxcDwGsERACA6bKynK+RkYZycizKyfFvPQC8Q0AEAJjOFRArVHBuxEwrIhBcCIgAANO5upddATEjg3GIQDAhIAIATOdqMaQFEQhOBEQAgOkubUFkJjMQXAiIAADTXRiD6HylBREILgREAIDpXGMOL4xB9Gc1ALxFQAQAmC7vGES6mIFgQkAEAJiOZW6A4EZABACYjkkqQHAjIAIATOdqMYyLcwZEm82PxQDwGgERAGC6rCxni2FsrPPXbLUHBBcCIgDAdK4Ww9hYVwsiXcxAMCEgAgBMl53tfI2ONnL9GkBwICACAEznajGMiXH92o/FAPAaAREAYDpXIIyJcbUg0sUMBBMCIgDAdNnZktVqKCrqwq8BBA8CIgDAdDabReHhUkiIZLEYBEQgyBAQAQCmy86WwsOd/x8eTgsiEGwIiAAA09lsUni4c/xhWBjL3ADBhoAIADBddrYzGErOoEgLIhBcQv1dQH7sdrumTp2qWbNmae/evYqKilKzZs1033336c9//nOe6/fu3at33nlHa9eu1ZkzZ1SnTh3ddddduvfee2W1koEBoKTZbBZ3QAwNpYsZCDYBGRCHDx+u+fPnKzY2Vtdcc42ys7P1yy+/aMWKFRoyZIgee+wx97Xbtm3Tvffeq9TUVLVp00bNmzfX6tWr9corr2jjxo164403/PidAEDZ5ByD6Oxido5BpIsZCCYBFxC//vprzZ8/X/Xr19eUKVNUpUoVSdLOnTt1zz336N1339Utt9yievXqyTAMDRs2TKmpqXr99dfVs2dPSdLp06fVr18/LViwQDfddJO6devmz28JAMocm+1CF7NzDKJ/6wHgnYDrf/3yyy8lSUOHDnWHQ0lq3LixevToIYfDoRUrVkiSVqxYoe3bt6t9+/bucChJlSpV0ksvvSRJmjx5cskVDwCQdGGZG4kxiEAwCrgWxHHjxmnfvn2qV69ennNpaWmSpJCQEEnSsmXLJEldu3bNc22bNm1UuXJlrV27VqmpqYqNjfVd0QCAXC5uQWQMIhB8Aq4FMTw8XAkJCQp3/dPzDz/99JO+/fZbRUdHuwPhrl27JEkJCQn53qt+/fpyOBzavXu3b4sGAOTCGEQguAVcC+LFMjMzNWzYMO3atUu7d+/WFVdcoddff93d9XzixAlJUnx8fL7vdx0/efJkyRQMAJDk7GIuV861DqLBGEQgyAR0QDxy5Ii+++67XMe2b9+udu3aSZIyMjIkSZGRkfm+33U8PT3dq69buTLd0cEsPr6cv0tAEfHsgtvFz88wpNhY57GYGCknh+cbyHg2uFRAB8Tq1avr559/ltVq1cqVK/Wf//xHI0eOVHp6uh5++GH3WESLpeCuC4fD4dXXPXUqVQ6HUeS64T/x8eWUnHze32WgCHh2we3S55eRES3DcCg5OVOGEaX0dIuSk737xzpKBp+94GW1WnzWqBVwYxAvFh0drYoVK6p8+fLq3r273n33XVksFv3vf/9TVlaWoqKiJDm7ovPjOh4TE1NiNQMAci+UzV7MQPAJ6IB4qVatWqlOnTpKTU3VwYMHVbVqVUmexxgmJydL8jxGEQDgGzk5ztnLknMMIgERCC4BFRANw9Drr7+uJ598Ujk5Ofle45rdnJOTo8aNG0u6MJv50nvt2bNHISEhatiwoe+KBgDkcXFApAURCD4BFRAtFosWL16sr7/+2r0Y9sUOHjyovXv3Kjo6WvXr19f1118vSVq8eHGea9etW6fTp0+rbdu2rIEIACUsJ8fZcig5g6LNxjI3QDAJqIAoSXfddZck6ZVXXtGxY8fcx48fP66nnnpKOTk56tOnjyIiItS+fXs1btxYK1as0BdffOG+9vTp03r55ZclSf379y/ZbwAAoJwc6Y95hOykAgShgJvFfN9992n16tVKSkpS9+7d1aZNG9ntdm3cuFHp6em68cYb9cQTT0iSrFarRo0apfvvv18vvPCCZs2apapVq+qXX37R2bNnddddd6lz585+/o4AoOzJybHk2ouZgAgEl4ALiGFhYfrggw80bdo0zZkzR7/++qusVqsSEhJ0xx136K677pLVeqHhs0WLFpo5c6bGjRun1atXa+fOnapbt66eeuop3XnnnX78TgCg7MrOvtCC6AyIdDEDwSTgAqLk3Gu5b9++6tu3b6Gub9SokcaNG+fjqgAAhWW3S6Ghrp1UaEEEgk3AjUEEAAS/7GxdtA4iW+0BwYaACAAwlcMhORyWXF3MOTkWGWxQBQQNAiIAwFSuZWwvnqQi0c0MBBMCIgDAVK6AeKEF0dl0SDczEDwIiAAAU9ntzldXMPxjAyxaEIEgQkAEAJjKFQQv7MXsOs5SN0CwICACAEyVk+MMgnkDop8KAuA1AiIAwFSuMYgXAiJjEIFgQ0AEAJjqwizm3GMQXS2LAAIfAREAYKq8s5idr7QgAsGDgAgAMJWrpfDCOojOlkTGIALBg4AIADCVKwjSgggELwIiAMBUl66D6AqIjEEEggcBEQBgqkvXQXS9usYmAgh8BEQAgKkuXQcxNNT447i/KgLgLQIiAMBUeddBdL4ySQUIHgREAICpLg2Irle22gOCBwERAGCqCwHR+OPV+WvX5BUAgY+ACAAw1YWdVFyvrIMIBBsCIgDAVK6uZNc6iMxiBoIPAREAYKoL6yDmfmUdRCB4EBABAKa6sA6is2vZ1ZJIFzMQPAiIAABT5V3mhnUQgWBDQAQAmOrShbJZBxEIPgREAICpLm1BdHUxMwYRCB4ERACAqTztpEIXMxA8CIgAAFNdulA2k1SA4ENABACYyrUOoqsF0WJxTlShBREIHgREAICpXOsgugKi6/8ZgwgEDwIiAMBUrq5k19hDyRUQ/VMPAO8REAEAprLbJYvFkPWinzBhYQZjEIEgQkAEAJgqOzt366HkbEEkIALBg4AIADBVTo4l1/hDyRkQXWMTAQQ+AiIAwFR2u/INiK7ZzQACHwERAGCq7OwLayC6hIUxSQUIJgREAICpcnLya0FkHUQgmBAQAQCm8jQGkUkqQPAgIAIATJVfC6Kzi5kxiECwICACAEyVfxczLYhAMCEgAgBMlZPjXBj7YqGhBsvcAEGEgAgAMFV2thQSkvtYWBgtiEAwISACAExlt1vy3UmFMYhA8CAgAgBM5VwHMfcxWhCB4EJABACYyrmTSu4xiCEhrIMIBBMCIgDAVJ5aEAmIQPAgIAIATOV5oWzGIALBgoAIADCVp3UQaUEEggcBEQBgqvzWQQwLYwwiEEwIiAAAU+Xk5F0HkZ1UgOBCQAQAmMrZgpj7GHsxA8GFgAgAMFV2tiVPC2JICC2IQDAhIAIATGW359eCyF7MQDAhIAIATOVcB/HSSSq0IALBhIAIADCVcyeV3MdCQ517NBtG/u8BEFgIiAAAU2Vn579QtsRaiECwICACAEzlaZkbiW5mIFgQEAEApvK0ULbrHIDAR0AEAJjK01Z7EvsxA8GCgAgAMI1hOCejMAYRCG4ERACAaVwB8NKA6FoXkYAIBAcCIgDANJ4ComtdRCapAMGBgAgAMM2FgJh7kgpdzEBwISACAEzjCoB5t9pznWeSChAMQi9/Scmz2+2aPn265s6dqz179shut6t27dr661//qgEDBigiIsJ97Zo1a3Tvvfd6vFePHj30xhtvlETZAFDmuWYpsw4iENwCLiDa7XYNGjRIS5YsUXR0tFq2bKnQ0FBt3LhR48aNU1JSkj799FNFRUVJkrZs2SJJat26tWrVqpXnfm3atCnR+gGgLLPbna95WxBZBxEIJgEXEGfOnKklS5YoMTFRH330kapVqyZJOn36tAYNGqT169fr/fff19NPPy1J2rp1qyTpn//8p9q2beu3ugEAF1oILx2D6GpRpAURCA4BNwZx7ty5kqRnn33WHQ4lqVKlSnrppZckSV999ZX7+JYtW2S1WvWnP/2pROsEAOR1uWVu7HbGIALBIOACYsWKFdWgQQO1aNEiz7l69epJkk6cOCFJstls2r17txo0aKDo6OiSLBMAkA/XJBRPAZEWRCA4BFwX8/jx4z2e27RpkySpevXqkqSdO3cqOztbNWvW1JgxY7Ro0SIdPnxYVapUUbdu3TRw4EDFxcWVSN0AAM8tiCEhjEEEgknAtSB6YhiG3n77bUnSzTffLOnCBJWkpCR99tlnql27ttq2batz587pk08+0Z133qnTp0/7rWYAKGsu18VMCyIQHAKuBdGTt956S7/++quqVKmiAQMGSLowQaV9+/Z6++23ValSJUnOCS1PPfWUVq1apX//+9965513vPpalSvHmls8SlR8fDl/l4Ai4tkFt/j4cir3xyOsUiVK8fEXzlWt6nyNiYnOdRyBgc8eLhUUAfHtt9/Whx9+qPDwcI0dO9YdBIcPH66+ffsqPj5esbEXQl2lSpU0evRo/eUvf9H333+vEydOqKrrb6dCOHUqVQ6HcfkLEXDi48spOfm8v8tAEfDsgpvr+Z04ESIpWqmp6UpOtrvPnz9vlRSjU6cylJxMP3Mg4bMXvKxWi88atQK6izknJ0cvvvii3n//fUVEROjdd99Vu3bt3OfDwsJUv379XOHQpVq1amratKkMw3B3RQMAfMvTOojsxQwEl4BtQUxLS9MTTzyhZcuWKS4uTu+//36ucFgYVapUkSRlZGT4okQAwCUurIOY+zh7MQPBJSBbEM+ePau+fftq2bJlqlGjhqZOnZpvOBw5cqQee+wxnTp1Kt/7HDp0SNKFWc8AAN9ytSBeulA2ezEDwSXgAqLNZtPDDz+szZs3q1GjRvr888+VkJCQ77Xr16/XDz/8oB9//DHPuR07dmjr1q2qUKGCrrzySl+XDQDQ5VsQ6WIGgkPABcRx48Zpw4YNqlGjhiZPnlxg69/f//53SdKYMWO0e/du9/HTp09r+PDhstvtGjBggMLDw31eNwDA80LZrhZFupiB4BBQYxBTUlI0efJkSc6ZyKNGjfJ47RtvvKE777xTK1as0HfffaeePXvqqquuUlRUlFavXq20tDR1795dDzzwQEmVDwBl3uXWQSQgAsEhoALir7/+qszMTEnS5s2btXnzZo/XvvHGG7JarXr77bc1Y8YMzZw5U+vXr5fValWjRo101113qXfv3rJYGO8CACXFFQDDwnKPQbzQxczfyUAwCKiAePPNN2v79u1evcdisejuu+/W3Xff7aOqAACF5RpjGBKS+zizmIHgEnBjEAEAwctud7YQ5l0H0fnKJBUgOBAQAQCm8TSL2WJxTlSx2/O+B0DgISACAExzYR3EvOfCwhiDCAQLAiIAwDQXWhDz7mcfEsIYRCBYEBABAKZxBcBLJ6lIrhbEkq0HQNEQEAEApnEtlH3pJBXJ2apICyIQHAiIAADTeFooW3KGRgIiEBwIiAAA0+TkSBaLkW8Xc2gok1SAYEFABACYJicn/9ZDyXmcZW6A4EBABACYJifHku/4Q8m5/R6TVIDgQEAEAJgmJyf/GcyS8zgBEQgOBEQAgGlycpwthflxTlJhDCIQDAiIAADTZGd7bkEMDWUWMxAsCIgAANPY7Z4nqYSFsQ4iECwIiAAA02Rne56k4lzmpmTrAVA0BEQAgGkut8wNYxCB4EBABACY5vKTVEq4IABFQkAEAJimoEkqISGsgwgECwIiAMA0BS+UTQsiECwIiAAA0xQ0BjEsjL2YgWDhVUD84IMPdOTIEV/VAgAIcs6AmP8YRPZiBoKHVwHx7bffVteuXdW3b1/NmjVLqampvqoLABCEsrNVwDI3jEEEgoVXAfH2229XdHS0fv31V73wwgu67rrr9OSTT2rJkiWy889CACjzcnIsBe6kQkAEgoNXAfHVV1/VypUrNWbMGP35z3+W3W7XN998o4EDB6pjx4565ZVX9Ntvv/mqVgBAgHMuc5P/OfZiBoKHh6HEnoWHh6t79+7q3r27zp49q6+//lpffvmlNmzYoClTpmjq1KmqW7euevXqpR49eqhmzZq+qBsAEICyswseg8gsZiA4FGsWc/ny5XXPPfdo+vTp+umnn/Tiiy/qhhtu0NGjR/X222/rpptuUt++fTVv3jzZbDazagYABKiC9mImIALBw7Rlbmw2m7KyspSenq6cnBwZhiGHw6Fff/1Vw4cPV+fOnbVgwQKzvhwAIAAVtBdzWBiTVIBg4XUX88VOnDihr7/+WgsWLNCWLVskSYZhqGbNmrrtttvUs2dPnThxQrNnz9aCBQs0bNgwZWRk6K677jKleABAYLncXsx2u0WGIVkYiggENK8D4rlz5/Ttt99q4cKFWrt2rRwOhwzDUGxsrLp166ZevXqpXbt27uvr1aun9u3b68orr9SoUaP04YcfEhABoJS6XEB0XeOplRFAYPAqID766KNasWKFuws5JCREHTt2VK9evdS1a1dFRER4fG/Xrl01atQonTx5sthFAwAC0+UmqbiuISACgc2rgLhkyRJJUmJionuWcpUqVQr13vPnz6tFixZq3bq110UCAIKD3V7QMjfO4MhEFSDweRUQ+/fvr549e6pJkyZef6HExER98cUXXr8PABA8srMtBe7FLBEQgWDg1SzmxMREJScnF+raefPmacyYMUUqCgAQnAoag+jaYSU7mxkqQKDzKiA+88wz+t///leoaz/77DNNnjy5SEUBAIKTcwJK/mMQaUEEgofHLuYTJ05o69ateY6fPXtWSUlJHm9oGIYOHz6snTt3FjhpBQBQuhiGs3XQ817MzuDIWohA4PMYEKOjo/Xcc8/p1KlT7mMWi0W7du3So48+etkbG4ahG2+80ZwqAQABz253vha0F/PF1wEIXB4DYmxsrJ555hm99dZb7mNHjx5VWFhYgTOXrVaroqOjlZiYqGeeecbcagEAAcvVdXy5dRCdYxDz74YGEBgKnMV866236tZbb3X/ukmTJmrevLmmTp3q88IAAMHlQkC8/DqIAAKbV8vcvPrqq6pcubKvagEABDFX8GMdRCD4eRUQb7/9dl/VAQAIcjk5zuVrPE9ScV1XQgUBKDKPAfGJJ56QxWLRc889p/j4ePcxb1gsFo0dO7ZYBQIAgoMr+HlqQbwQEFkHEQh0HgPid999J4vFoieeeMIdEL/77juvbm6x8JcAAJQVFwJiwesgMgYRCHweA+Jjjz0mi8WiihUruo8NHjy4RIoCAAQfV/C73DqIdDEDgc9jQHz88cfzHCMgAgA8cXUdX76LuYQKAlBkXm21BwCAJ96tgwggkBUpIK5du1arV692/zonJ0evvfaarr32WnXo0EHDhg1TcnKyaUUCAALf5QIiezEDwcOrgGi32zVkyBD94x//0BdffOE+Pnr0aH366ac6ffq0zp49qy+//FJ9+vRRWlqa6QUDAALThXUQPU1SYQwiECy8CoizZ8/WokWLFB4ervr160uSzp8/rxkzZkiSBg0apClTpujqq6/WoUOHNHHiRPMrBgAEJNcYRE8tiK7JK8xiBgKfVwFxwYIFslgsGj9+vHvCyk8//SSbzab69etryJAhuuqqq/TWW28pPDxcP/zwg0+KBgAEnsJ3MTMGEQh0XgXEHTt2qHbt2rrmmmvcx5YuXSqLxaJOnTq5j1WqVEl16tTRwYMHzasUABDQXC2Dl5+kUjL1ACg6rwJiWlqaypcvn+vYypUrJSlXaJSci2Rn87cAAJQZdrvz1bXe4aVcAdF1HYDA5VVArFSpko4ePer+9e+//67Tp08rIiJC7dq1cx8/d+6cDhw4oCpVqphXKQAgoF2YpJL/edckFdoOgMDnVUBs166dTp06pUmTJik1NVXvvvuuLBaLOnbsqIiICEmSzWbTSy+9pKysrFyhEQBQurnWN7zcGETWQQQCn1cB8aGHHlJYWJhGjx6tdu3aacmSJbJarXr44YclSRs3btT111+vb775RhEREXrwwQd9UjQAIPBc6GLO/3x4uPPVZiuZegAUnVcBsUmTJvr444/VtGlThYWFqVGjRnr77bfVokULSVJcXJzOnj2rWrVq6bPPPlNCQoJPigYABJ7LrYMYEiJZrQZdzEAQ8LgXsyft27fX7Nmz8z1Xp04dzZgxQy1btix2YQCA4HK5FkRJioiQbDa6mIFAZ+pezCEhIYRDACijLjcGUXKOQ6SLGQh8XrcgSs4t93bv3q3U1FQ5HA4ZRv7dCZKYqAIAZcTl1kGUpPBwg4AIBAGvA+Knn36q9957T+fPn7/stRaLRVu2bClSYQCA4OLqYvY0BlFyTlRhDCIQ+LwKiF9//bVeffVV96+joqLcy9sAAMq2wrQghoVJWVmMQQQCnVcBcfLkyZKkW265RcOGDVO1atV8UhQAIPi49li+XBczLYhA4PMqIG7btk0VKlTQa6+9pjBPS+UDAMqknBzna0E/HsLDmaQCBAOvZjFbrVZdccUVhEMAQB6ulsGQEM/XOMcg0sUMBDqvWhATExO1fft25eTkKLSgPoRistvtmj59uubOnas9e/bIbrerdu3a+utf/6oBAwbkGfe4adMmvffee9q0aZPS09PVqFEj3XffferRo4fPagQA5JaTI4WGGrIUkP/CwpjFDAQDr1oQ+/Xrp7S0NL3//vu+qkd2u12DBg3SyJEjtWfPHrVs2VLt27fXiRMnNG7cOPXt21cZGRnu61esWKF77rlHS5cuVaNGjdShQwft2LFDQ4cO1ZgxY3xWJwAgt5wcS4Hdy5JroeySqQdA0XnVDNi+fXvdd999+uCDD7R582bdcMMNqlatWoFdzjfeeKNXBc2cOVNLlixRYmKiPvroI/dEmNOnT2vQoEFav3693n//fT399NPKzMzUP//5T0nSJ598oquvvlqSdODAAfXt21fjx4/XTTfdpGbNmnlVAwDAezk5BXcvS87xiWlpdDEDgc6rgHjNNddIkgzD0NKlS7V06dICry/KOohz586VJD377LO5ZklXqlRJL730knr27KmvvvpKTz/9tObPn69Tp07pjjvucIdDybnl39ChQzV06FBNnjxZo0eP9qoGAID3srMLnqAiOWcxs8wNEPi8Cog1atTwVR1uFStWVIMGDdSiRYs85+rVqydJOnHihCRp2bJlkqQuXbrkubZTp04KCQm5bIgFAJjD2YLoeZFsiYWygWDhVUD88ccffVWH2/jx4z2e27RpkySpevXqkqSdO3dKkhISEvJcGxsbq6pVq+ro0aM6efKkqlSp4oNqAQAuOTmXb0F07sVMCyIQ6LyapOJPhmHo7bffliTdfPPNkqTk5GRJUnx8fL7vcR0/efJkCVQIAGVbYSapsA4iEByKvFaN3W7X5s2btWfPHqWmpuof//iHsrOzdfToUdWpU8fMGiVJb731ln799VdVqVJFAwYMkCT3bObIyMh83+M6np6e7tXXqlw5thiVwt/i48v5uwQUEc8uuIWEhCk8vODnGBfnbGnkWQcWngcuVaSA+Nlnn+nDDz/UqVOn3Mf+8Y9/6ODBg7r11lvVtWtXjRo1SrGx5gStt99+Wx9++KHCw8M1duxYVapUSZIUEhIiwzBkKWjRLUkOh8Orr3fqVKocjoLH0SAwxceXU3LyeX+XgSLg2QW3+PhySk3NltVqVXKy53+UOxwRysoKU3JyaglWh4Lw2QteVqvFZ41aXgfE5557TnPmzJFhGCpfvrxsNpsyMzMlObtyHQ6Hvv/+ex08eFDTpk1TVFRUkYvLycnRiBEjNGPGDEVEROidd95Ru3bt3OejoqJ07tw5ZWVl5Vk8W5K7rpiYmCLXAAAoHOdC2QVf4xyDWDL1ACg6r8Ygfvfdd5o9e7bi4+P10UcfafXq1frTn/7kPt++fXtNnjxZ8fHx2rZtmz799NMiF5aWlqZHH31UM2bMUFxcnCZMmJBnTcWqVatKujAW8VKXG6MIADBPTo7lsgExPJydVIBg4FVAnD59uiwWi95++21df/31+V7Trl07vffeezIMQ998802Rijp79qz69u2rZcuWqUaNGpo6dWqulkOXxo0bS5J2796d51xqaqpOnDihSpUqMYMZAEpA4dZBlOx2i+z2kqkJQNF4FRC3bNmi2rVrq3Xr1gVe17x5c9WtW1f79+/3uiCbzaaHH35YmzdvVqNGjfT555/nu4yNJHdI/eGHH/Kc+/HHH2W3273eyQUAUDR2u3Mv5oKEhztfaUUEAptXATErK0vR0dGFuraoE1TGjRunDRs2qEaNGpo8ebJ7zcP8dOvWTZUrV9bcuXOVlJTkPn7w4EG9+eabslgs6tevX5HqAAB4Jzu7MGMQDfe1AAKX1zup7N27V+np6QUGxdTUVO3atcvrnVdSUlI0efJkSc6t9UaNGuXx2jfeeEOxsbEaOXKkhgwZokceeUTt2rVTTEyMfv75Z2VkZOjJJ59UkyZNvKoBAFA02dkWRUQUtgXRIonVIoBA5VVA7NSpkyZOnKjXXntNI0aM8HjdqFGjZLPZvO7e/fXXX90zjzdv3qzNmzd7vPaNN96Q5Nxmb/LkyXrvvfe0ceNGGYahxMRE9evXT927d/fq6wMAis5uL9wYRIkuZiDQeRUQH3roIc2fP18zZ87UgQMH1L17d509e1aSc3zi7t279cUXX2jNmjWKi4vTAw884FUxN998s7Zv3+7VeySpTZs2mjBhgtfvAwCYx9nFXHCroKuLmYAIBDavAmKlSpX00Ucf6bHHHtPPP/+s1atXu8/97W9/k+TcEq9ixYp65513VK1aNXOrBQAErMKsg+hasjY7my5mIJB5vVD2lVdeqYULF2rGjBn68ccftWvXLqWlpSkqKkp169bVn//8Z/Xp08e92wkAoGwozDqIri7orCzf1wOg6Iq01V5sbKwefPBBPfjgg2bXAwAIUoWZxRwezixmIBh4tcwNAACe5OR4M0nF4vuCABRZoVsQDx06pKSkJK1du1bHjx/XmTNnZLFYVK5cOTVo0ECtWrXSTTfdpAoVKviwXABAoHKOQSzcMje0IAKB7bIBMTk5Wf/973/19ddfy/7H3kiGkfsvgA0bNmjOnDl6+eWX1bt3bz355JMqX768byoGAASkwkxSYRYzEBwK/Cjv2rVLDz/8sI4ePSrDMFS5cmW1atVKV1xxhWJiYpSdna3U1FTt2bNHW7ZsUVpammbMmKHly5frk08+UZ06dUrq+wAA+FlOjuWyXcyuWcwERCCweQyIGRkZeuyxx3TkyBHVqVNHw4cPV6dOnTzeyGaz6dtvv9XYsWN16NAhPfroo/ryyy8Verl/TgIASoWcHCkkpOBrXAHSucwNgEDlcZLK7NmztX//fjVt2lSzZ88uMBxKUnh4uG677TbNnz9fCQkJ2rt3r+bPn296wQCAwJSdfWGWsieurfj+2DQLQIDyGBC/++47WSwWjRw5UuXKlSv0DcuVK6cXXnhBhmHo+++/N6VIAEBgMwxnq2Bhu5izsmhBBAKZx4C4d+9eVa5cWVdeeaXXN23Xrp3KlStXpG3zAADBxzUr2TVL2ZPISOcrLYhAYPMYEM+fP1+srfKuuOIKnT59usjvBwAED9ekk8stc0MXMxAcPAbErKwsRbj6AoogOjpaNqapAUCZ4H0LIl3MQCArcCcVi6XoH+DivBcAEFxc7QGXG4MYGupsZWQvZiCwsdUeAKDYChsQJWcrIi2IQGAjIAIAiu1CQCx4DKIkRUYajEEEAlyBq1j//vvv6tKlS5FunJycXKT3AQCCT2HHIEq0IALBoMCAmJWVpcOHDxf55oxDBICywbsuZloQgUDnMSC++uqrJVkHACCIedPFHBEhJqkAAc5jQLz99ttLsg4AQBDzdpJKRgY9TEAgY5IKAKDYvBuDyDI3QKAjIAIAio1lboDShYAIACg278Yg0oIIBDoCIgCg2BiDCJQuBEQAQLExBhEoXQiIAIBi824nFcYgAoGOgAgAKDZvuphZBxEIfF4FxP79+2v+/PnKyMjwVT0AgCDkTRdzVJShjAzJuHxjIwA/8Sogrlq1Ss8884yuvfZaDRs2TMuXL5fBJxwAyjxvd1IxDIv7PQACj1cB8bXXXtM111wjm82mL7/8Ug899JBuuOEGjR49Wtu2bfNVjQCAAOftXswS3cxAIPO41V5+evXqpV69eunkyZNauHChvvzyS23ZskUTJ07UpEmT1LhxY/Xs2VO33nqrqlWr5quaAQABxttlbiTnUjdxcfRCAYGoSJNUqlSpon79+mnOnDn6+uuv9cgjj6hWrVrasWOH/vvf/6pz587q37+/5s2bp/T0dLNrBgAEGNcYRFoQgdKh2LOYGzRooCeffFLff/+9vvrqKw0ePFjh4eH6+eefNXz4cF133XV69tlntWXLFjPqBQAEIJtNCgkxFBJy+WtdLYgsdQMELq+6mD05d+6cFi1apB9++EE///yzMjMzJUnVqlXTuXPnNGfOHM2dO1e9e/fWv//9b4WGmvJlAQABwmYrXOuh5JykItGCCASyIie1zMxMLV68WAsXLtTy5cuVk5MjwzAUHR2tXr16qWfPnrr66quVmZmpr7/+Wv/97381a9YsRUZG6rnnnjPzewAA+Jk3AdHVxcyKaUDg8iog5uTkaPny5VqwYIF+/PFHZWZmyjAMWa1WXXPNNerZs6duvvlmRUVFud8TFRWlv/3tb4qPj9fDDz+sBQsWEBABoJTJzpbCwws34SQ62vnKfsxA4PIqIF533XU6d+6ce+3Dxo0b67bbbtNtt9122VnLDRs2lCTZ7fYilgoACFTetCDGxDh/hqSlERCBQOVVQDx79qwqVaqkW265Rb169dKVV15Z6Pfa7XYNGDDAq/cAAIJD0QKiDwsCUCxeBcQPPvhAN9xwg0IKM03tEnXq1NHQoUO9fh8AIPB5ExBdXczp6bQgAoHKq2VuFi1apAkTJhTq2ldeeUV9+/YtUlEAgODizRhEWhCBwOdVQJw7d66SkpIKde3q1av122+/FakoAEBwKUoLImMQgcDlsYt53759+uKLL/IcP3z4sF5//XWPNzQMQ0eOHNHOnTtVpUoVc6oEAAQ0bwJiSIhzqRu6mIHA5TEg1q1bVz///LO2bt3qPmaxWHT8+HFNnDixwJu6Zjn36NHDpDIBAIHMGRALv69yTIxBFzMQwDwGRIvFohEjRmjq1KnuY3PnzlWVKlV0/fXXe7yhxWJRdHS0EhMTdccdd5hbLQAgIDnHIBb++pgYJqkAgazAWczNmjXTq6++6v713LlzVbdu3VzHAACw2aTY2MJfTwsiENi8WuZm8eLFinBtogkAwB+8GYMoOSeqMEkFCFxeBcSaNWv6qg4AQBDLzvZuDGJ0tKH0dB8WBKBYPAbEa665RhaLRTNmzFDt2rXdx7xhsVi0cuXK4lUIAAh4Npu3YxANnT7t1UprAEqQx4CYkpIii8WinJycXMe8YbHQfQAAZYHNJoV60SdFFzMQ2Dx+nD/77DNJ0hVXXJHnGAAAF3O2IHq3zA1dzEDg8hgQ27dvX6hjAAA4xyAW/vqYGFoQgUDGABAAQLF5OwbRNUnFKHyjI4AS5LEF8eIFsovj3nvvNeU+AIDA5e0YxJgYyTAsysi4sDczgMDh8eM8cuRIUyaZEBABoPQryhhEydnNHB1NMyIQaDwGxHbt2pVkHQCAIGW3Sw6Ht2MQnaEwNVWKj/dRYQCKzGNAnDx5cknWAQAIUtnZzldvxiDGxTlfz5+3SKIFEQg0TFIBABSLKyCGhhY+6MXFOa89d46ZzEAg8tiCuGvXLklSvXr1FPrHyGPXMW80atSoiKUBAIKBzeYMed61IBIQgUDmMSDeeuutslqt+uqrr1S/fn1JUo8ePby6ucVi0ZYtW4pXIQAgoLk23PJmDGK5cq6A6IOCABRbgYsSOByOXL82vFywytvrAQDBx2Zzvnozi7l8eVoQgUDmMSBu27atUMcAAGXbhTGIhX9PuXLOVwIiEJiYpAIAKJaijEEMDXXupkJABAKTF//ey83hcGjLli3au3evMjMzVa5cOTVu3FgNGzY0sz4AQIBztSB6MwZRck5UOX/e/HoAFJ/XAdFut+uTTz7Rp59+qlOnTuU5X7t2bQ0aNEi9evUyoz5J0pw5czR8+HBNnTpVV111Va5zR48e1Z///GeP723Tpo2mT59uWi0AgNwurIPo3bjz8uUNnT1LCyIQiLwKiHa7XQMHDtSyZctkGIaioqJUt25dRUdHKy0tTXv37tWBAwc0fPhwbd68Wc8991yxC1y/fr1Gjhzp8bxrlnRiYqISEhLynHfNwAYA+Iari9mbMYiScxwiXcxAYPLq4/z5559r6dKlKl++vJ577jl1795dYRf1KWRlZWnWrFl64403NGXKFF111VXq1q1bkYv77rvvNHz4cKWnp3u8ZuvWrZKkAQMG6Lbbbivy1wIAFI1rmRtvxiBKzi7mlBQCIhCIvJqkMnv2bFksFr3//vu67bbbcoVDSYqIiNC9996rMWPGyDAMffbZZ0Uq6tixYxo2bJiGDBkih8OhKlWqeLzW1YJ45ZVXFulrAQCKx7XMTViYd13McXFMUgEClVcBcc+ePWrYsKHatm1b4HV//vOfVbdu3SIvkj127FjNnz9fzZo104wZM9SgQQOP127dulXR0dF0JQOAn1wIiN69Ly7O0Nmz5tcDoPi86mKOjo4u9LWRkZEK97a/4Q8NGjTQ6NGjddttt8lq9Zxhz5w5oyNHjujKK6/UxIkTNX/+fO3fv1/lypVTp06dNHjwYFWrVq1INQAACic72/tlbiTXLGZaEIFA5FUL4g033KDdu3dr48aNBV63e/du7dy5U1dffXWRinr44YfVq1evAsOhdGH84ebNmzVmzBhVrlxZHTp0kN1u1xdffKG//e1v2rNnT5FqAAAUTlaW8zUiwtsuZikry6LMTB8UBaBYvGpBfPrpp7V69WoNGjRIr776qm644YY812zatElPPfWUKlasqGHDhplWaH5cXdgJCQl6//33Vbt2bUlSenq6XnjhBS1cuFBDhw7VnDlzvLpv5cqxpteKkhMfX87fJaCIeHbBKSLC+VqjRqzi4wv/vlq1nK+hoeW8eh/Mx2cPl/IYEHv37p3vcavVqlOnTumRRx5RjRo11KRJE0VHRysjI0P79u1zt9i1bdtW48aN0+jRo31TuaR+/frp5ptvVkxMjCpVquQ+Hh0drVdeeUW//vqrNm/erA0bNqhVq1aFvu+pU6lyONhHOhjFx5dTcjIr7wYjnl3wOnkyTFKkzp9PVXJy4f/uDA0NlRSl3bvTFBrq8Fl9KBifveBltVp81qjlMSD+/vvvBb7RMAwdOXJER44cyff8mjVrtHbtWp8GxJCQEHer4aWioqJ09dVXa/78+dq8ebNXAREAUHiuSSredjGXL++8/swZxiECgcZjQHz11VdLsg6fcC2Pk5GR4edKAKD0ysoq2iSVChVcAdHkggAUm8eAePvtt5dkHUXy7rvvaseOHXrssceUmJiY5/yhQ4ckSdWrVy/p0gCgzHC1IHobEGlBBAKX13sxB5Lt27dr0aJFatCgQZ6AeOrUKa1YsUJhYWHq0KGDnyoEgNIvO1uyWr3faq9iRWdAZD9mIPAUKSCeOnVKe/bsUUZGhgwj95iTnJwcZWVl6cSJE1qyZIkmTZpkRp35+vvf/65FixZp4sSJuv76690LeKelpenZZ59Vamqq7rnnHsUzPQ4AfCYry+KeyeyNuDjnKy2IQODxKiAahqGXX35ZX3zxRZ5gmN+1FotvP/QdO3ZU//79NXHiRP3jH/9QmzZtVLFiRa1Zs0YpKSm66qqr9K9//cunNQBAWWezqUgBMSTEuVg2AREIPF4FxFmzZunzzz+XJIWHhysuLk4nT55U+fLlFR4erjNnzig7O1sWi0VNmjTRPffc45OiL/bMM8+oZcuWmjJlirZs2SKHw6E6depowIABuv/++/PsFw0AMFdWVtECouScqEJABAKPVwHxyy+/lMVi0QMPPKCnn35amZmZ6tChg2644Qb997//lc1m07x58/Tqq6/q+PHj6tKliylFTp48ucDz3bt3V/fu3U35WgAA79hsRetilpwBkTGIQODxaqu9HTt2KDY2Vv/3f/8nq9Wq6OhoJSYm6ueff5bkbFW866679OyzzyolJUUTJ070SdEAgMBR1C5myTmTmRZEIPB4FRDT0tJUu3btXN22jRs31smTJ3Xq1Cn3sdtvv11xcXFKSkoyr1IAQEAqfhezqeUAMIFXATEmJkbZ2dm5jtWsWVOStHv3bvex0NBQ1a5dW4cPHzahRABAILPZLF6vgejCGEQgMHkVEBs0aKADBw7ozEX/3KtXr54Mw9DmzZtzXXvu3DlTCgQABLbidDG7xiBeZmEMACXMq4DYqVMnZWVlaciQIdq3b58kqXXr1rJYLJo2bZo7FP700086ePCgatWqZXrBAIDAUrwxiM4WyPR0c2sCUDxeBcQ+ffqoVq1a+uWXX3TLLbfIZrOpZs2a6ty5sw4ePKhu3brpjjvu0OOPPy6LxaJu3br5qm4AQIAo7ixmid1UgEDjVUCMjY3V5MmTddNNN6lKlSoK/2PQyfPPP686deooJSVFW7ZsUU5Ojpo2baoBAwb4pGgAQOAo7iQVid1UgEDj9VZ7NWrU0DvvvCOba3f2P459+eWX+uGHH3T48GHVq1dPXbt2VUhIiKnFAgACT3HHIEq0IAKBpkh7MUtytx66REZG6tZbby12QQCA4FLUvZilCwExJYWACASSIgfEnTt3atmyZdq7d68yMjIUFxenRo0a6YYbbmByCgCUITabirzMTfnyrhZEEwsCUGxeB8Tjx4/r+eef1/LlyyVJxkVrE1gsFlmtVvXs2VPPP/+8oqOjzasUABCQsrMZgwiUNl4FxHPnzqlPnz46cuSIQkJC1L59ezVq1EjR0dFKS0vTtm3btHbtWs2dO1f79+/XpEmTcu26AgAofYrTxVyunGS1sh8zEGi8Coj/+9//dPjwYTVt2lTjxo3Ltyt5x44devzxx7Vu3Tp9+umnzGQGgFKuOJNUrFbnWoiMQQQCi1fL3Hz//fcKCwvTBx984HGcYUJCgsaPHy+LxaJ58+aZUSMAIEAZRvHWQZSc4xBpQQQCi1cB8dixY0pISFC1atUKvK5+/fpKTEzUwYMHi1UcACCwuVY8K05AZD9mIPB4FRCrVq2qU6dOFera1NRUVahQoSg1AQCCBAERKJ28Coi33Xabjh07ppkzZxZ43eLFi3Xw4EH99a9/LVZxAIDAlpXlDHYERKB08ThJJSMjI8+x++67T6tXr9bLL7+s/fv36+677841FvH06dOaN2+exo0bp7Zt2+qJJ57wTdUAgIDgakEs6jqIkmsMojn1ADCHx4DYpk2bAt84YcIETZgwQTExMYqOjlZGRoZSU1Pd5/fv36/u3bvrp59+Mq9aAEBAMbOL2TAkCw2JQEDwGBAvXgC7IKmpqbmCocvJkydl4ZMOAKWazWZOF7PdblFqqnNdRAD+5zEgLl68uCTrAAAEoaws52vxAqLz9cwZi8qVK1zjBADf8hgQa9asWZJ1AACCkBldzK79mM+csah2bQIiEAi83ovZxTAMbd68Wfv27VNaWpqio6NVt25dXXnllQoJCTGzRgBAgDKri1kSi2UDAaRIAXH27NkaN26cTpw4kedchQoV9MQTT+juu+8udnEAgMBmThezMyCy3R4QOLwOiG+88YYmTJggwzAUHh6uBg0aKDo6WufPn9fevXuVkpLiXgbnX//6ly9qBgAECDOWuaEFEQg8XgXEVatW6eOPP1Z4eLiefvpp/f3vf1dkZKT7fEZGhmbMmKG33npLkyZNUqdOndS+fXvTiwYABAYzu5jPnDGhIACm8Gonlc8++0wWi0UjR47U/fffnyscSlJUVJT69eunESNGyDAMTZs2zdRiAQCBxYxJKjExUkgIu6kAgcSrgLhhwwbFx8erZ8+eBV7Xq1cvxcfHa8OGDcWpDQAQ4MwIiBaLVLEiAREIJF4FxPPnz6t69eqFurZGjRo6depUkYoCAAQHM/ZilqTy5RmDCAQSrwJipUqVtH//fjkcjgKvs9vt2r9/vypWrFis4gAAgc2MFkRJioszdO4cAREIFF4FxHbt2uncuXOaMGFCgddNmDBBZ8+eVbt27YpVHAAgsJmxzI0kxcYaSksrfj0AzOFVQHzwwQdltVo1ZswYjRgxQjt37sx1fseOHXr55Zc1duxYhYSEqH///qYWCwAILGbMYpakmBhDaWm0IAKBwqtlbpo2bapnn31Wr7zyiqZPn67p06crNDRU0dHRSk9PV05OjiTJYrHo2WefVbNmzXxSNAAgMLi6mEOLvC+XU3S0CIhAAPGqBVGS7r33Xk2aNEnt27dXSEiIsrOzdfbsWWVnZ8tqtapDhw6aNGmS7r33Xl/UCwAIIDabFBFhyFLMbOdsQTSnJgDF59W/+Q4ePKjatWurQ4cO6tChg9LT03Xw4EH3Xsx16tRRdHS0r2oFAAQYm81SrF1UXGJjaUEEAolXAXHQoEHKyMjQrFmzVKFCBUVHRysxMdFXtQEAAlxWlrMFUSpeuIuJMZSebpHdLoWEmFMbgKLzqov5wIEDioiIUIUKFXxUDgAgmJjVghgT49xuLyOj+PcCUHxeBcS4uDhlZmb6qhYAQJDJypJJAdH5SjczEBi8CogDBw7U4cOHNXr0aGXwzzwAKPNck1SKy9WCmJpa7FsBMIFXYxCzsrLUqlUrTZo0SVOnTlXjxo0VHx+vCA8LYFksFo0dO9aMOgEAAchmsygsrPj3iY11vjpbEIsfOAEUj1cBcfTo0bJYLDIMQzabTZs3by7wektx1z0AAAQ0Zwti8e/jakGkixkIDF4FxMcee4zQBwBws9mk8HDzuphZCxEIDF4FxMcff9xXdQAAglBWlkWxsWYEROcrLYhAYPB6JxUAAFzM6mJ2hczUVAIiEAgu24K4ZMkSTZs2TZs2bVJaWppq1KihG2+8UQ8++KCqVatWEjUCAAIUXcxA6VRgC+LIkSM1cOBALVu2TCkpKbLZbNq/f78mT56s2267TWvWrCmpOgEAASgry6yFsp2vdDEDgcFjC+LixYs1depUSVKrVq3UuXNnxcbG6sCBA/ryyy91+vRpPfHEE1q8eLEiIyNLrGAAQOAwq4s5PFwKCzNoQQQChMeAOHv2bFksFj3yyCP6v//7v1znBg4cqAEDBuj333/XN998o9tvv93XdQIAApDN5gx2ZoiJYQwiECg8djFv3rxZcXFx+c5cLl++vB5//HEZhqH169f7tEAAQOCy2SymtCBKUnS0oYwMAiIQCDwGxDNnzqhWrVoKCQnJ93zr1q0lScePH/dNZQCAgOecpGLOvaKiJHZxBQKDx4Bos9k8bqEnSeXKlZMkpaenm18VACDgGYaUlWXOXsySFBVFCyIQKDwGRMMwCrVrisPhMLUgAEBwyMmRDMOcWcwSLYhAIGGhbABAkWRlOV/NWAdRkiIjaUEEAgUBEQBQJDab89W8SSq0IAKBosCdVGw2m44cOVLgDS53zRVXXFG0ygAAAc1mc7b2hYWZcz/nGETaLYBAUGBA/P3339WlSxeP5y0WS4HXWCwWbdmypXgVAgAC0oUWRLMmqdCCCASKAgOiYRTvQ1/c9wMAApcrIJo3SYUxiECgKHCrPQAAPMnKcoY5ZjEDpY/HgFizZs2SrAMAEGTM72I2lJlpkcMhWRmKCPgVH0EAQJH4ogVRkjIzzbkfgKIjIAIAisTsZW6iopwtkYxDBPyPgAgAKJILk1TMm8UsMQ4RCAQERABAkZjfxUwLIhAogiIgzpkzR4mJiVqzZk2+5/fu3aunnnpKN954o1q2bKkePXpo8uTJ7BMNAD6Une18NXsMIi2IgP8FfEBcv369Ro4c6fH8tm3b1Lt3b3311Ve64oordP311+vYsWN65ZVXNGzYsBKsFADKFrP3Yna1IKan04II+FuBC2X723fffafhw4crPT093/OGYWjYsGFKTU3V66+/rp49e0qSTp8+rX79+mnBggW66aab1K1bt5IsGwDKBNdWe+ZNUnG+MosZ8L+AbEE8duyYhg0bpiFDhsjhcKhKlSr5XrdixQpt375d7du3d4dDSapUqZJeeuklSdLkyZNLomQAKHPM3kklOpoxiECgCMiAOHbsWM2fP1/NmjXTjBkz1KBBg3yvW7ZsmSSpa9euec61adNGlStX1tq1a5WamurTegGgLHJ1MZu1UHZkpPOVMYiA/wVkQGzQoIFGjx6tmTNnKjEx0eN1u3btkiQlJCTke75+/fpyOBzavXu3T+oEgLLM1cXMLGag9AnIMYgPP/xwoa47ceKEJCk+Pj7f867jJ0+eNKcwAICbqwUxLMyc+zGLGQgcARkQCyvjj79FIl39EpdwHfc0ycWTypVji1cY/Co+vpy/S0AR8eyCS2ioMxxWq+Z8bsV9fjExzlerNVLx8fn/vQ7f4LOHSwV1QAwJCZEkWSwFd0d4ux7iqVOpcjjMGVODkhUfX07Jyef9XQaKgGcXfM6ciVBkZJiSk1NNeX7Ov6rLKTk5S8nJNlNqxOXx2QteVqvFZ41aATkGsbCi/uiPyPSwJoLreIzrn6UAANNkZpo3QUWSrFbnOETGIAL+F9QBsWrVqpI8jzFMTk6W5HmMIgCg6LKyLKatgegSFWWwDiIQAII6IDZu3FjShdnMFzMMQ3v27FFISIgaNmxY0qUBQKlns5m3SLZLVBSzmIFAENQB8frrr5ckLV68OM+5devW6fTp02rbtq1iY5l0AgBmM7uLWXKuhcgsZsD/gjogtm/fXo0bN9aKFSv0xRdfuI+fPn1aL7/8siSpf//+/ioPAEo1X3Ux04II+F9Qz2K2Wq0aNWqU7r//fr3wwguaNWuWqlatql9++UVnz57VXXfdpc6dO/u7TAAolbKyzG9BjIqSvFyZDIAPBHVAlKQWLVpo5syZGjdunFavXq2dO3eqbt26euqpp3TnnXf6uzwAKLWysizu3U/MEhVlKD2dFkTA34IiIE6ePLnA840aNdK4ceNKqBoAgORsQaxQwdx7RkcbOnWKgAj4W1CPQQQA+I+vupgzMwmIgL8REAEARZKZ6atJKubeE4D3CIgAgCKx2aTISPOXuWEMIuB/BEQAQJFkZUnh4ebe09nFbO49AXiPgAgAKBJfdTFnZlrkcJh7XwDeISACAIokK8v8LuaoKOcr4xAB/yIgAgC8lpMj2e3mtyBGRzsDJzOZAf8iIAIAvJaV5Xw1ewxiZKTzlRZEwL8IiAAAr7kCovldzM77sR8z4F8ERACA12w2Z4Azf5KK85UWRMC/CIgAAK+5lqIxfycVWhCBQEBABAB4LSuLFkSgNCMgAgC85hqD6KtZzLQgAv5FQAQAeO1CQDR/qz2JFkTA3wiIAACvubqYXYHOLIxBBAIDAREA4LUL6yD6ZicV9mMG/IuACADwmmunE1/sxSxJ6em0IAL+REAEAHjNZnO+mt3FzBhEIDAQEAEAXvPVJBWr1bk7C2MQAf8iIAIAvOarLmbJOQ6RMYiAfxEQAQBe81ULouQch0gXM+BfBEQAgNd8tZOK5GxBpIsZ8C8CIgDAa77aSUWiBREIBAREAIDXsrKksDBDVh/8FImMZJkbwN8IiAAAr2VlWXzSeig5WxCZpAL4FwERAOC1rCzncjS+EB3NGETA3wiIAACvZWVZFB7um3szBhHwPwIiAMBrWVm+maAiMYsZCAQERACA1zIzfdfFHBnJGETA3wiIAACv2Wy+nKRCCyLgbwREAIDXsrKk8HDftCBGRRlKT7fI8M3tARQCAREA4LXMTN+2IDq/hm/uD+DyCIgAAK85l7nxzb2jo51Nh8xkBvyHgAgA8JrNJkVE+GqSivM1M5NxiIC/EBABAF7LzPTtOogSLYiAPxEQAQBey8i4EOTM5hqDyH7MgP8QEAEAXsvMtLiDnNloQQT8j4AIAPCaLxfKpgUR8D8CIgDAKw6Hcy9mX81ijolxBs+0NAIi4C8ERACAV1zrE/oqIMbGugKib+4P4PIIiAAAr7gCoq8mqcTEOF9pQQT8h4AIAPCKa59kX01ScbUgpqYSEAF/ISACALxyoYvZd5NULBaDLmbAjwiIAACvuFoQfTUG0WJxdjPTxQz4DwERAOAVX49BlJzdzLQgAv5DQAQAeMW1R7KvWhAlZwsiYxAB/yEgAgC8UnItiAREwF8IiAAAr/h6DKLkXCw7NdV39wdQMAIiAMArrj2SfTWLWZJiY5mkAvgTAREA4BXXGERfrYMoOVsQCYiA/xAQAQBe8fU6iBJdzIC/ERABAF4pmRZEupgBfyIgAgC8kpHh3OkkIsJ3X8PZxSwZvmukBFAAAiIAwCsZGRZFRjp3PPGV2FhDhmFRerrvvgYAzwiIAACvZGb6dokbydnFLLFYNuAvBEQAgFecAdG3fb+xsc77s90e4B8ERACAVzIzLT6doCJJFSo4A+KZM7QgAv5AQAQAeCUjw/ctiAREwL8IiAAAr5REC2LFis6AmJJCQAT8gYAIAPBKSbQgVqzofCUgAv5BQAQAeCU93eKeZewr5cvTggj4EwERAOCVtDSLYmJ824IYGirFxRmMQQT8hIAIAPBKWpoUHe37LU4qVDB0+jQBEfCHUH8XYIZ58+bpX//6l8fzjz76qJ588skSrAgASq+S6GKWpEqVaEEE/KVUBMStW7dKkq677jpVqlQpz/k//elPJV0SAJRKhuFsQfR1F7PkbEEkIAL+USoC4pYtWyRJr776qqpVq+bnagCg9LLZJLvdouho33+tihUN7d/PSCjAH0rFJ2/btm2qUqUK4RAAfMy19R0tiEDpFvQB8eDBgzp37pyuvPJKf5cCAKVeerozsJXEJJWKFQ2dOSM5HD7/UgAuEfQB0TX+sHLlyho5cqRuuukmNW/eXN26ddN7772nrKwsP1cIAKVHWpozIJbEJJUqVQwZhkUnT9KKCJS0oA+IrvGHc+bM0cKFC9WoUSO1bNlSx48f17hx43T//fcrMzPTz1UCQOng6mIuiRbEGjWcX+PYMQIiUNKCfpKKqwWxe/fuGjVqlKL/GDl96NAhPfbYY1q/fr3Gjh2rZ555ptD3rFw51ie1omTEx5fzdwkoIp5d4AsPd77WrBmt+Pjc58x+fq6RQ+npMXm+FszFZw+XshiG4ft/BvpQVlaWDh48qDp16ijc9TfXH7Zu3arbb79dUVFR+uWXXxQWFlaoe546lSqHI6h/W8qs+PhySk4+7+8yUAQ8u+Dw3Xch6ts3WosWpalVqwuDA33x/I4ft6h581iNHp2p/v2zTb03LuCzF7ysVovPGrWCvos5IiJCjRo1yhMOJef6h9WrV1d6err27dtX8sUBQCnjmqRSUmMQw8MNHTgQ9D+qgKBT6j91VapUkSRlZGT4uRIACH4XJqn4vpclJERq0MCh3bsZgwiUtKAOiKmpqXrhhRc0ZMgQ5eTk5HvNoUOHJEnVq1cvydIAoFRKT3e+lsQkFUlq2NChHTtCSuRrAbggqANiTEyMvv/+e3333Xf69ddf85xPSkpSSkqKEhISVLVqVT9UCACli6sFsSR2UpGkP/3JoX37LDrPEDmgRAV1QLRYLLrrrrskSSNHjtTx48fd5w4cOKARI0ZIkgYOHOiX+gCgtElLk8LCDOUz7Nsn2rWzy+GwaM0aWhGBkhT0y9wMGjRIa9as0dq1a/WXv/xFbdu2lSStXr1aNptNDzzwgP7617/6uUoAKB3S0y0lMkHFpV07uyIjDS1aFKpOnewl94WBMi6oWxAlKTIyUpMmTdLTTz+tWrVqafXq1Vq/fr1atWqld955R//617/8XSIAlBppaZYSG38oSbGxUrduOZo1K0ypqSX2ZYEyL+hbECUpPDxcDz/8sB5++GF/lwIApVpqqhQbW7LrxA4aZNP8+WGaODFcjz9uK9GvDZRVQd+CCAAoOWfOWFS+fMl+zdatHbrxxhyNHx8mViwDSgYBEQBQaOfOWVS+fMnvNPXkkzYlJ1s1bVrhdsQCUDwERABAoZ09a1FcXMkHxGuusatpU7sWLCgVI6OAgEdABAAU2rlzUoUKJR8QLRapUye71qwJUVpaiX95oMwhIAIACsUwnC2I/uhilqTrr8+RzWbR6tWsiQj4GgERAFAoaWmS3e6fLmZJuvpqu0JDDa1aRUAEfI2ACAAolLNnndvslfQsZpfoaCkhwaFNmwiIgK8REAEAhXLmjCsg+qcFUZKaN3fo99/50QX4Gp8yAIDbuXPS/PmhyszM71wgBES7Tpyw6vhxi99qAMoCAiIAwO2hh6L00ENRevHFiDznzp51vvozIDZr5pAkWhEBH+MTBgCQJO3bZ9FPPznXGfz88zB3IHRxjUH01yQVSWrWzC5J2ryZcYiALxEQAQCSpGXLnOHwrbcylZlp0YoVuReldgVEf6yD6BIXJ9Wu7dCWLfz4AnyJTxgAQJK0Zk2IqlRx6M47sxUZmXc5GVdALFfOH9Vd0LSpQ1u38uML8CU+YQAASdKWLVZdeaVDERFS27Z2/fxz7oB4+rRzDcRQP+9217SpXTt3WpWV5d86gNKMgAgAkMMhbd9u1Z/+5JwE0qGDXZs2WZWaeuGa5GSLqlZ1+KnCC5o2dSgnx6KdO/kRBvgKny4AgJKTLcrMtKh+fWcAbNfOLofDoo0bQ3JdEx/vv/GHLk2bOmtkHCLgO3y6AAA6dMg5vrBmTWf4atXK+bpu3YWAeOKENSACYv36DkVEGNqyhZnMgK8QEAEAOnzY+eOgZk1nAKxc2VDdug5t2HDhx4Szi9n/ATE0VEpMdGjzZn6EAb7CpwsAoMOHnS2ItWpdGGPYpo1d69c7W+nOn3fupFK9uv8DouTsZqaLGfAdPl0AAB0+bFVMjKG4uAvHWrWy69Ahq06csOjgQeePizp1/D9JRXLOZE5OdtYGwHwERACADh2yqFYthywX5a3WrZ1hcMMGqw4edJ6oXTswAmLLlq4xkvwYA3yBTxYAQIcPW93jD12aN7crJMTQunUh2rfP+eOidu3A6GJu3dqu8HBDq1b5eVFGoJTikwUA0OHDFrVoYc91LCZGatLEofXrQ1S1qqH4eEdAzGKWpMhI5xjJSxfzBmAOWhABoIzLyJBOnszbgihJ7dvbtXp1iH7+OUTNm+fugva3a66x67ffrDp71t+VAKUPAREAyrijR3OvgXixHj1ylJ5u0f79VnXunFPSpRWoa9cc2e0WffcdnWGA2QiIAFDGHTrk/FFQq1beFsTrrrPrjjuy1b59ju66K7ukSytQ27YOXXGFQwsXEhABs/GpAoAy7sgRzy2IFos0fnxmSZdUKFars4Vz4sQwnT0rlS/v74qA0oMWRAAo41wtiDVqBMYEFG/ccUe2bDaLFi4M83cpQKlCQASAMu7wYYuqVnUoIsLflXivVSuHGjRwaPZsOsQAMxEQAaCMO3TImu/4w2BgsUh/+1u2VqwIcXeVAyg+AiIAlHFHjljyHX8YLHr1ypFhWPTDD7QiAmYhIAJAGWYYzl1UrrgiOFsQJalRI4eqV3do+XIWzQbMQkAEgDIsJUVKT3fuwxysLBapY0e7li8PkRG8ORcIKAREACjDDh92/hjIbxeVYNKxY45OnrRqxw5+rAFm4JMEAGXY4cOe10AMJq1bO+v/7Td+rAFm4JMEAGVYaWlBbNzYochIQ5s2MQ4RMAMBEQDKsEOHrIqIMFSlSnAHxNBQ6U9/cuj33/mxBpiBTxIAlGGHD1tUo4Yhayn4adCsmV2bNjFRBTBDKfgrAQBQVAcPWlW7dnCPP3S58kqHzp616OhRFswGiouACABl2P79FtWtWzoCYuPGzu9j1y5+tAHFxacIAMqo1FTp5Emr6tYtHX2yjRo5A+LOnfxoA4qLTxEAlFEHDzp/BNSpUzpaEKtXNxQTY2j3bn60AcXFpwgAyqgDB5xj9UpLQLRYpIYNHXQxAybgUwQAZdSBA64WxNLRxSw5u5lpQQSKj08RAJRR+/dbFR0d/GsgXqxRI4cOHbIoI8PflQDBjYAIAGXUtm1WJSQ4ZClFq8I0auSQYVi0Zw8/3oDi4BMEAGXU9u1WJSaWjvGHLg0bOr8fupmB4uETBABlUEqKdPy4VU2a2P1diqkaNGCpG8AMfIIAoAzavj1EknP/4tIkJkaqVYuZzEBx8QkCgDJoyxbnX/+lrYtZcnYz08UMFA+fIAAog379NURVqzp0xRWlZwazS0KCQzt2WGWUvm8NKDEERAAoYwxDWrUqRNdcYy9VM5hdEhIcSk+36NChUvjNASWEgAgAZczBgxYdOWLV1VeXrgkqLq5u8+3b+REHFBWfHgAoY5YuDZWkUhwQnd8XAREoOj49AFDGfPllqOrWdahp09I3QUWSKlaUqlZ1uGdqA/AeAREAypBTpyxatixEvXpll8rxhy6JiQ5aEIFi4NMDAGXIjBmhststuv32HH+X4lNNmjgDIjOZgaIhIAJAGWG3S598Eq6rr84ptd3LLsxkBoqHgAgAZcSCBaE6cMCqhx7K9ncpPtesmXOiyoYNjEMEioKACABlgN0uvflmuBIT7frrX0t397IkNW/uUESEobVrCYhAUYT6uwAAgO/Nmxeq7dtD9OGHGQopA5kpPNwZEtesoR0EKAo+OQBQyqWmSi+/HKHmze3q0aP0tx66XHWVXb/9FiKbzd+VAMGHgAgApZhhSEOHRur4cYtGj84sE62HLtdem6PMTItWrSpD3zRgklITEFeuXKn77rtPHTp0UJs2bdS3b18tXbrU32UBgN+kp0tDh0ZozpwwPfOMTVddVbpnLl/qxhvtio429M03jKYCvFUqAuKcOXPUv39/rV+/Xi1atFDr1q21fv16PfTQQ5oxY4a/ywOAEmUYzhnL110Xo8mTw/XEE1n6v/8re/2sUVHSn/+co6+/DlVO2elZB0wR9AHx+PHj+ve//61y5cpp9uzZ+uijjzRhwgRNmzZNsbGx+s9//qPjx4/7u0wAKBEZGdKAAZF68MEoVahg6Msv0/Xcc7ZSvWtKQe6+O1vHjlk1Zw6tiIA3gj4gTp06VTabTf369VNCQoL7eIsWLfTQQw8pKyuLVkQAZcK5c9Ldd0dp4cJQPf98lr7/Pl1XX233d1l+1a2bXU2b2vX66xE6c8bf1QDBI+gD4rJlyyRJXbt2zXPOdYyxiABKuxMnLOrVK1pr1oTof//L1JAhNoXSaCaLRXr99UwdPWrRXXdFa/XqEJ07J7bgAy4jqP/6MAxDu3btktVqVYMGDfKcr1evnqxWq3bt2iXDMGQpq30sAEq1n38O0eOPR+rECYsmT85Q585lu9XwUu3bO/Thh5l68slI9egRLUkKDTVUsaKhJk0cuuEGu7p0ydGVVzrKbFc8cKmgDohnz56VzWZTpUqVFB4enud8aGioKlasqFOnTiktLU2xsbGFuq/Vyt8QwYznF7x4doWTni59/nmYjh61aNu2EG3ZEqIaNRyaODFDLVo4JPnn9zGQn1+PHnZ16pSmn38O1bFjFp09K50+bdHmzSGaMiVCU6ZEqFo1h5o3t6t6dUPlyhm67jq7/vSnsjHzO5CfHTzz5XML6oCYkZEhSYqKivJ4TWRkpCR5FRArVowpfnHwm8qVC/ecEXh4doVTubL0z39eetQqKdoP1VwQ6M+vcmWpbt2CrrCqFIy8KpJAf3YoeUH9SbBaC1++wYATAACAQgnqgBgd7fzXclZWlsdrMjMzc10LAACAggV1QIyNjVV0dLRSUlKUk88qqDk5OUpJSVFERITi4uL8UCEAAEDwCeqAaLFY1KhRI9ntdu3bty/P+b1798rhcORaHxEAAAAFC+qAKEnXX3+9JOmHH37Ic8517MYbbyzRmgAAAIJZ0AfEO+64QxEREfroo4/0+++/u49v2rRJH3/8sSIjI9WnTx8/VggAABBcLEYpmN47depUjRgxQmFhYerQoYMkafXq1crJydHo0aPVs2dPP1cIAAAQPEpFQJSkn376SR9//LG2bNmi8PBwJSYmauDAgbrmmmv8XRoAAEBQKTUBEQAAAOYI+jGIhbFy5Urdd9996tChg9q0aaO+fftq6dKlXt1j7969euqpp3TjjTeqZcuW6tGjhyZPniyHo2xsw+QvZjy7pKQkPfjgg2rfvr2aNWumTp066cUXX9SxY8d8VDVczHh+lxowYIASExO1evVqk6qEJ2Y8v7S0NI0bN07du3dX8+bN1b59ez366KPatGmTj6qGZM6z27Bhgx555BH3351du3bVqFGjdPbsWR9VjUvNmTNHiYmJWrNmjVfvO378uF588UV16dJFLVq0ULdu3fTee+/JZrMV+h6lvgVxzpw5Gj58uMLDw3X11VfL4XBo9erVys7O1ogRI/T3v//9svfYtm2b7r33XqWmpqpNmzaqXLmyVq9erXPnzqlHjx564403SuA7KXvMeHYffvih3nzzTVmtVrVo0UKVK1fW1q1bdeTIEVWqVElTpkxRw4YNS+C7KXvMeH6XmjZtml5++WVJ0meffeYecwzzmfH8zpw5o/vuu0/bt29XtWrV1KJFCx04cEDbt29XeHi4pk6dqhYtWpTAd1O2mPHsfvjhBz3xxBPKyclRy5YtVaVKFW3atEknTpxQ3bp19fnnn6tSpUol8N2UXevXr9cDDzyg9PR0TZ06VVdddVWh3nfs2DH9/e9/17Fjx9S0aVPVrl1b69atU3Jystq3b69PPvlEYWFhl7+RUYodO3bMaNasmdG2bVtj+/bt7uMbN2402rRpYzRv3tw4duxYgfdwOBxGjx49jISEBGPevHnu46dOnXIf//bbb332PZRVZjy7nTt3Gk2aNDFatWplrFu3zn3cZrMZL730kpGQkGDcddddPvseyjIznt+l9u3bZ7Rq1cpISEgwEhISjJ9//tnssvEHs57fsGHDjISEBOPJJ580srKy3Mc//vhjIyEhwejRo4dP6i/LzHh22dnZxrXXXms0adLE+O6779zHMzMzjUceecRISEgwRowY4bPvAYbx7bffGq1bt3b/fffrr78W+r2uZ/Tee++5j6WlpRn9+vUzEhISjAkTJhTqPqW6i3nq1Kmy2Wzq169frsWyW7RooYceekhZWVmaMWNGgfdYsWKFtm/frvbt2+eaDV2pUiW99NJLkqTJkyf7pP6yzIxnN3/+fDkcDvXv31+tW7d2Hw8LC9Ozzz6rSpUqacOGDTp8+LDPvo+yyozndzG73a5//etfCgsLY+H7EmDG8zty5Ijmz5+v2rVr67XXXlN4eLj73IMPPqgrr7xSGRkZOn36tM++j7LIjGe3fft2nTx5Uk2aNNHNN9/sPh4REaFBgwZJkn799VfffANl3LFjxzRs2DANGTJEDodDVapU8er9e/bs0ZIlS1SnTh09+uij7uPR0dH6z3/+o5CQEE2ZMqVQ9yrVAXHZsmWSpK5du+Y55zp2uTEZBd3D1d28du1apaamFrdcXMSMZxcWFqbExES1a9cu33O1atWSJJ04caK45eISZjy/i3388cdav369XnjhBVWuXNmcIuGRGc9v0aJFMgxD9957b65w6DJnzhx9//33dFOazIxnZ7U6o8GpU6fybGObkpIiSSpfvnyxa0VeY8eO1fz589WsWTPNmDFDDRo08Or9y5cvl2EY6tSpk/s5ulxxxRVq2rSpDh8+rF27dl32XqU2IBqGoV27dslqteb7G1yvXj1ZrVbt2rVLRgHDMF2/iZ5aLerXry+Hw6Hdu3ebUzhMe3ZDhgzRl19+me9SR+np6e5nW716dfOKh2nPz2Xbtm1655131K1bN/Xo0cMXJeMiZj2/LVu2SJKaN2+utLQ0zZw5U//+9781cuRI/fDDD4V69vCOWc+uUaNGqlGjho4fP65hw4bpwIEDysjI0KpVq/Tyyy/LarWqf//+vvxWyqwGDRpo9OjRmjlzphITE71+v+vnWuPGjT3eX5J27Nhx2XuFev3Vg8TZs2dls9lUqVKlfP/1GhoaqooVK+rUqVNKS0tTbGxsvvdxtS7Fx8fne951/OTJkyZVDrOeXUE++ugjpaenq3nz5qpRo4YZZeMPZj4/m82mf/7zn4qLi3MP6YBvmfX8Dhw4IMk5UaVHjx65hnJMmTJF11xzjd59990ifX6RP7OeXVhYmMaNG6fBgwfrq6++0ldffeU+V7VqVX388ce67rrrfPZ9lGUPP/xwsd7vyixVq1bN97w3maXUtiBmZGRIkqKiojxeExkZKcm5DMPl7uO61tM90tPTi1Qn8jLr2XmSlJSk//3vf7JarfrnP/9ZtCLhkZnP7+2339aOHTs0YsQIuiJLiFnP7/z585Kk4cOHq0KFCvr888+1du1aTZs2TYmJiVq1apX+/e9/m1g5zPzs1alTRz169FBISIhatGihTp06KT4+XidOnNDHH3+sM2fOmFY3zGNmZim1AfHSvveCFNTUHhISIkmyWCwF3oP1EM1j1rPLz5IlS/T444/LbrfrySefZJkUHzDr+a1du1affPKJbrvttnzHU8E3zHp+rvXWwsLCNGnSJLVu3VqxsbFq27atJkyYoJiYGH311Vfau3dvsWuGk1nPLiUlRffcc4+mT5+uiRMnaubMmRo/frx+/PFH3XnnnVq5cqUGDx5sRskwmZmZpdQGxOjoaElSVlaWx2syMzNzXZsf17/EXNd6ukdMTEyR6kReZj27S82aNUuPPfaYsrKyNHjw4GI35SN/Zjy/9PR0PfPMM4qPj9cLL7xgfpHwyKzPn6ul4tZbb1VcXFyuc/Hx8ercubMMw9Avv/xS3JLxB7Oe3YQJE7Rnzx4NGjQo1z+iw8PD9e9//1v169fXr7/+6vXizfC9wmaWwvzsLLVjEGNjYxUdHa2UlBTl5OQoNDT3t5qTk6OUlBRFRETk+cvrYlWrVtXWrVt18uTJfBdUTk5OluR5jCK8Z9azu9iYMWM0fvx4WSwWDR8+XP369fNB5ZDMeX7Tp0/XgQMHlJiYqBEjRuQ65xqEPX78eM2cOVN33313oReQxeWZ9flzDQmoWbNmvuddx12zYlF8Zj07V2jPb5xhWFiYrr32Wu3du1dbtmzhsxdgXGMPPY0xdGUWT2MUL1ZqWxAtFosaNWoku92uffv25Tm/d+9eORyOy66p5poJlN+UcMMwtGfPHoWEhLAbh4nMenaS8xk999xzGj9+vMLDw/XWW28RDn3MjOfnGh+zfft2LViwINd/rr/gVq5cqQULFrgnQ8AcZn3+XOc9LSPleo4sW2Qes57duXPnJF3orryU63h2dnbxCobpCsosktwrrhTm52epDYiSdP3110tybhl0KdexG2+8sVD3WLx4cZ5z69at0+nTp9W2bVtm4pnMjGcnSa+99ppmzZql2NhYTZgwQX/961/NLRT5Ku7ze/zxx7V9+/Z8/3MtW/TZZ59p+/btuuOOO3zwHZRtZnz+brjhBvf1l66lZ7PZ3Htpt23bttj14gIznp1rKZSkpKQ85+x2u37++WdJUpMmTYpVK8znev4//fRTnnGGR44c0datW1WzZk01atTosvcq1QHxjjvuUEREhD766CP9/vvv7uObNm3Sxx9/rMjISPXp08d9/MCBA9q9e7d79p0ktW/fXo0bN9aKFSv0xRdfuI+fPn3avScs60GZz4xnt3TpUk2aNEmhoaH63//+p/bt25fo91CWmfH84D9mPL9rr71WTZo00b59+zRq1CjZ7XZJzsHxr7/+ug4dOqTrrrvO64WAUTAznp1rr+bx48dr7dq17uM5OTl6/fXXtWPHDjVu3FhXX311CXxH8OTIkSPavXt3rt2Iateureuvv1579uzR22+/7T6enp6u559/Xna7vdCZxWKU8tVKp06dqhEjRigsLMw92Hb16tXKycnR6NGjc22f17lzZx0+fFivvvpqrlaJ3377Tffff7/S09PVsmVLVa1aVb/88ovOnj2ru+66SyNHjizx76ssKO6z6927tzZt2qRq1aoVGA4HDhzIEAEfMOOzl59+/fpp1apV+uyzz5iF7kNmPL/du3fr/vvvV3JysmrWrKk//elP2rFjhw4cOKAaNWpoypQp7h2NYB4znt2bb76pDz/8UBaLRa1atVKlSpW0detWHTlyRFWqVNGnn35aqFYoFE/fvn31yy+/aOrUqXnGe7rODR48WI8//rj7+MGDB3XPPfcoOTlZCQkJql+/vtatW6fk5GTdcMMN+uCDD/KMT81PqZ2k4nLvvffqiiuu0Mcff6x169YpPDxcbdq00cCBA/PdYSM/LVq00MyZMzVu3DitXr1aO3fuVN26dfXUU0/pzjvv9PF3UHYV59mdOXNGmzZtkiQdP35cCxYs8HjtnXfeSUD0ATM+e/AfM55fw4YNNW/ePPcSKUlJSYqPj9e9996rgQMHMrnPR8x4dk8//bTatGmjyZMna9OmTfr9999VtWpV/eMf/9AjjzxSqEkO8I/atWu7M8vSpUu1f/9+1a5dW/fdd5/uv//+QoVDqQy0IAIAAMA7pXoMIgAAALxHQAQAAEAuBEQAAADkQkAEAABALgREAAAA5EJABAAAQC4ERAAAAORCQAQQcN555x0lJiZ6/d+hQ4fUt29fJSYmasqUKf7+Nrzm+j527Njh06/j+v0dMmRIod+zY8cOd30ASr9Sv5MKgOBTo0YNtWnTJs/x33//XTabTfXq1VOlSpXynI+IiCiJ8gCg1CMgAgg4vXv3Vu/evfMcd+0b+8gjj1x2z2YAQNHRxQwAAIBcCIgAAADIhS5mAKXWmjVr9L///U8bNmxQTk6O6tevrzvvvFN33323LBaL+7p33nlH7777roYNG6aoqCh98MEHOnv2rOrUqaP33ntPdevWlSQdPHhQH330kZYvX64TJ04oJiZGrVq1Ur9+/XTNNdfk+fo2m01Tp07VwoULtXv3bjkcDlWtWlVXX321+vfvr4YNG+Zbt2EYmjVrlj7//HPt2rVL4eHhatasmR566KF8v44kLVq0SDNmzNCmTZuUnp6u+Ph4XXPNNXrooYdUv379Qv+eJScn66OPPtLixYuVnJysmjVr6p577lH79u0LfQ8AwY+ACKBUWrhwoV555RVFRkaqfv36On78uDZv3qzNmzdr9+7dev755/O8Z9GiRdqwYYNq1qypmjVrKj09XbVr15YkLVu2TEOGDFF6erqioqLUuHFjnT59WkuWLNGSJUv0+OOPa/Dgwe57GYahwYMHKykpSaGhoapbt64iIiK0b98+zZw5UwsXLtSnn36qli1b5qnjpZde0rp161SxYkXVr19f+/bt04oVK7Ry5UqNHTtWf/nLX9zXOhwODRs2TAsWLJDknOBTu3Zt7d27V7Nnz9bChQv1xhtv6Oabb77s79nevXvVv39/HT16VJGRkWrcuLGOHz+u//znP7rqqqu8fgYAghddzABKpfXr1+vWW2/V0qVLNXfuXC1fvlwPPPCAJGnKlCk6ceJEnvds2LBB999/vxYvXqxvvvlGs2bNktVq1aFDh/R///d/Sk9P16BBg/TLL79o7ty5SkpK0vvvv6/Y2Fi98847+uGHH9z3SkpKUlJSkurVq6fFixfr66+/1ty5c7Vs2TJ17dpVGRkZeuutt/KtfcOGDXrmmWe0fPlyzZ07V0uXLlWHDh1kGIbefvvtXNe+//77WrBggcqVK6fx48dryZIlmj17tlauXKl+/fopKytLQ4cOvezSOYZhaPjw4Tp69Kg6duyopKQkzZ49W0uXLtW//vUvrV271ttHACCIERABlEr16tXTa6+9pri4OEmS1WrVk08+qbi4OBmGoY0bN+Z5T1hYmJ544gl397NrKZ1PPvlEqamp6tWrl5544gmFh4e739OlSxc9/fTTkqR3333XfdwVyG644QZVr17dfTw2NlbDhw9Xx44d1bhx43xrv/3229W/f3+Fhjo7ecqVK6ehQ4dKkvbs2aOzZ89KktLT0/XJJ59IkkaMGKFOnTq57xEZGanhw4erS5cuysrK0vvvv1/g79eaNWu0fv16xcXFacyYMapQoYL79+2BBx5Qz549C3w/gNKFgAigVOrUqZM7YLmEh4e7u4zPnDmT5z0JCQmKiYnJc/zHH3+UJN1yyy35fq1bbrlFFotFW7duVXJysiS5v87s2bM1c+ZMpaSkuK+vVauWJkyYkG83tyR17do1z7GLxyu6al+zZo3S0tJUqVKlXN3OF+vbt68kaenSpbLb7fleIzm70CXpxhtvdIfqi+W37BCA0osxiABKpapVq+Z73BUAs7Ky8pyLj4/Pcyw1NVVHjx6VJI0ZM0YffPBBvvcNCQlRTk6O9u7dq/j4eHXp0kUtW7bUxo0b9fzzz+vFF19U8+bN1bFjR3Xq1EnNmzf3qvaLg6ur9n379kly7sBiteb/7/0rr7xSkpSWlqaTJ0+qWrVq+V7nulejRo3yPc8OKkDZQkAEUCpd3A1cWPntxJKWlub+/y1btlz2HufPn3d//c8++0yffPKJ5s2bp/3792vjxo3auHGj3nvvPTVu3Fgvv/yy2rZtW+TaXbXl1+rpEh0d7f7/1NRUjwExNTVVkhQVFZXv+XLlysliscgwjELVBiC4ERABoAAXB6ZVq1blu8WfJ5GRkRo0aJAGDRqkvXv3atWqVVqxYoWWLVumnTt3asCAAfr22289hrbLcYU/V7jLjyuwSgUHSVe3cnp6er7ns7KyCIdAGcIYRAAoQFxcnDsU7tmzJ99r7Ha7Vq5cqf3797vH+aWkpGjt2rU6ffq0JKl+/frq06eP3nvvPX3//feKj49Xenp6rpnP3nKtb7h9+3Y5HI58r9m8ebMkZ9D11O1+8b22bt2a7/ndu3cXuU4AwYeACACXceONN0qSPv/883zPL1iwQP3791evXr3cLXBDhw5Vnz59NGvWrDzXV6tWTQ0aNJCkAieOXE7btm0VGxurlJQUffvtt/leM3XqVEnS1Vdf7XGcouScjS05J7McP348z/m5c+cWuU4AwYeACACXMWDAAEVERGjBggUaM2ZMrgkuy5Yt04gRIyRJd955p8qVKydJ6tGjhyTpgw8+0PLly3Pd75tvvtHatWtltVrVsWPHItcVExOj/v37S5JefPFFLVmyxH0uKytLr776qn788UeFhYVpyJAhBd6rWbNm6tSpkzIyMjR48GAdO3bMfW7mzJmaNm1akesEEHwYgwgAl9GoUSONHj1aw4YN0/jx4zV58mTVr19fKSkpOnz4sCTp2muvda9VKEk9e/bUjz/+qO+++04PPvigqlevripVqujEiRPuRbqfeuopd0tiUQ0cOFB79uzRV199pUceeURXXHGFKleurD179igtLU1RUVF65ZVX1LRp08vea+TIkXrggQf022+/qWvXrkpISNDp06d19OhRderUST/99FOxagUQPAiIAFAI3bt3V0JCgj755BOtWrVK27dvV1hYmJo3b64ePXqoT58+CgsLc19vsVj05ptv6qqrrtJXX32lXbt26eTJk6pYsaJuuukm3XvvvR73VfZGSEiI3nzzTXXt2lUzZ87U5s2bdfLkSVWvXl09e/bUfffdV+i9mOPj4zVt2jRNnDjRXXOVKlU0ePBg9e/fP98Z1wBKJ4vBtDQAAABchDGIAAAAyIWACAAAgFwIiAAAAMiFgAgAAIBcCIgAAADIhYAIAACAXAiIAAAAyIWACAAAgFwIiAAAAMiFgAgAAIBcCIgAAADI5f8B4r9UeeHLWIQAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "numpy.random.seed(0)\n", "plt.figure(figsize=(10, 10))\n", "plt.xlim([0, 1])\n", "plt.title('Threshold Distribution')\n", "plt.xlabel('Threshold')\n", "plt.ylabel('Probability Density')\n", "sns.kdeplot(thresholding.thompson_sample(utility, data),\n", " color='blue',\n", " label='Likelihood Threshold is Optimal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adaptive Thresholding\n", "Without getting into the mechanics, we can dynamically choose between _exploration mode_, during which it will set the threshold to `0`, and _exploitation mode_, during which it will attempt to pick the optimal choice (or, in practice, something likely to be optimal)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Online Learning\n", "Here we will give an example of how to apply adaptive thresholding to an online learning problem. \n", "\n", "In this example, we will iterate over the data we have in chronological order (since it's fake data, let's just assume it was already ordered chronologically) and simulate a system that applies the above adaptive thresholding algorithm to the problem of identifying a new optimal threshold each time a new label arrives (e.g. from someone checking in on an alert and determining if it's a good one)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "thresholder = thresholding.AdaptiveThreshold(utility)\n", "thresholds = []\n", "for ground_truth, score in data[['Ground Truth', 'Model Score']].values:\n", " thresholds.append(thresholder(ground_truth, score))\n", "thresholds = numpy.asarray(thresholds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What percent of the time did we end up setting the threshold to `0`? You'll notice we start out setting the threshold to `0` about 45% of the time to gather data, but that quickly drops to about 5% once we have a good understanding of the system." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pylab as plt\n", "\n", "plt.figure(figsize=(10, 10))\n", "plt.ylabel('Exploration Percent (Moving Average)')\n", "plt.xlabel('Epoch')\n", "plt.plot(100 * numpy.array(thresholding.exploration_proportion(thresholds, 100)))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "About 10% of the alerts triggered were just to get unbiased data." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "379" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(thresholds == 0).sum()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.10527777777777778" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(thresholds == 0).mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Examining Results\n", "To get a feel for what the algorithm is doing, let's reconstruct the utility function plot as before, but with the 64 most recent thresholds. As you can see, the thresholds are landing pretty close to the optimal value, while we were typically only taking unbiased data 2 to 3% of the time." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 10))\n", "plt.title('Expected Utility vs Threshold')\n", "plt.xlabel('Threshold')\n", "plt.ylabel('Expected Utility')\n", "\n", "scores, utility_mean, utility_quantiles = thresholding.expected_utility(\n", " utility, data[['Ground Truth', 'Model Score']].values)\n", "\n", "# candidate thresholds are existing model scores\n", "thresholding.plot_err(scores,\n", " utility_mean,\n", " utility_quantiles,\n", " label='Expected Utility')\n", "ax = sns.rugplot(thresholds[-64:], # most recent \n", " color='green',\n", " label='64 Most Recent Thresholds')\n", "leg = plt.legend(loc='center')\n", "for lh in leg.legendHandles:\n", " lh.set_alpha(1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can watch the distribution of (nonzero) thresholds chosen evolve over time and approach the ideal one (computed using _all_ the data in our data set)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "import os\n", "import shutil\n", "\n", "from pathlib import Path\n", "\n", "frame_dir = 'frames'\n", "if os.path.exists(frame_dir):\n", " shutil.rmtree(frame_dir)\n", "Path(frame_dir).mkdir(parents=True, exist_ok=True)\n", "\n", "\n", "def mkplot(thresholds, large_sample_ideal_thresholds):\n", " numpy.random.seed(0)\n", " plt.figure(figsize=(10, 10))\n", " plt.xlim([0, 1])\n", " plt.title(f'Threshold Distribution (epoch {i})')\n", " plt.xlabel('Threshold')\n", " plt.ylabel('Probability Density')\n", " ax = sns.distplot(thresholds[thresholds > 0],\n", " rug=True,\n", " hist=False,\n", " kde=True,\n", " color='green',\n", " label='Thresholds Chosen')\n", " ax = sns.distplot(large_sample_ideal_thresholds, # most recent \n", " rug=False,\n", " hist=False,\n", " kde=True,\n", " color='blue',\n", " label='Ideal Distribution')\n", " leg = plt.legend(loc='upper left')\n", " for lh in leg.legendHandles:\n", " lh.set_alpha(1)\n", " plt.savefig(os.path.join(frame_dir, f'im_{i}.png'))\n", " \n", "large_sample_ideal_thresholds = thresholding.thompson_sample(utility, data)\n", "N = 64\n", "dn = len(thresholds) // N\n", "j = 0\n", "for num_frames, i in enumerate(range(dn, len(thresholds) + dn, dn)):\n", " mkplot(thresholds[j:i], large_sample_ideal_thresholds)\n", " j = i\n", "mkplot(thresholds[j:], large_sample_ideal_thresholds)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "import os\n", "import imageio\n", "\n", "images = []\n", "for filename in sorted(os.listdir(frame_dir), key=lambda x: int(x[3:-4])):\n", " images.append(imageio.imread(os.path.join(frame_dir, filename)))\n", "imageio.mimsave('threshold_distribution_evolution.gif', images, duration=30 / (num_frames + 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![threshold_distribution_evolution](threshold_distribution_evolution.gif)" ] } ], "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 2 }