{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the sixth in a series of notebooks that make up a [case study on classification and algorithmic fairness](https://allendowney.github.io/RecidivismCaseStudy/).\n", "This case study is part of the [*Elements of Data Science*](https://allendowney.github.io/ElementsOfDataScience/) curriculum.\n", "[Click here to run this notebook on Colab](https://colab.research.google.com/github/AllenDowney/RecidivismCaseStudy/blob/master/06_error.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data\n", "\n", "The authors of \"Machine Bias\" published their data and analysis in [this repository](https://github.com/propublica/compas-analysis).\n", "\n", "The terms of use for the data [are here](https://www.propublica.org/datastore/terms). In compliance with those terms, I am not redistributing the data. The following cell downloads the data file we'll use directly from their repository." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from os.path import basename, exists\n", "\n", "def download(url):\n", " filename = basename(url)\n", " if not exists(filename):\n", " from urllib.request import urlretrieve\n", " local, _ = urlretrieve(url, filename)\n", " print('Downloaded ' + local)\n", "\n", "download('https://github.com/propublica/compas-analysis/raw/master/' +\n", " 'compas-scores-two-years.csv')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following cell read the data file:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7214, 53)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cp = pd.read_csv(\"compas-scores-two-years.csv\")\n", "cp.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code\n", "\n", "The functions from the previous notebooks are in a file called `utils.py`; the following cell downloads it if you don't already have it:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "download(\"https://raw.githubusercontent.com/AllenDowney/RecidivismCaseStudy/master/utils.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The other calibration curve\n", "\n", "ProPublica says error rates are different for black and white defendants\n", "\n", "WaPo says the calibration curves are nearly the same.\n", "\n", "Both are correct, but they are talking past each other. The calibration curve is a more general version of PPV; instead of treating COMPAS as a binary classifier, it considers all 10 possible risk scores, but it answers the same question: for each classification, what is the probability of recidivism?\n", "\n", "If the calibration curves for two groups are the same, that implies that PPV is the same, too. And the ProPublica article acknowledges that PPV (and NPV) are almost the same for black and white defendants. It's the error rates that are different.\n", "\n", "If the calibration curve is a more general version of PPV, you might wonder if there's another calibration curve that generalizes false positive rates. Well, there is.\n", "\n", "For each risk score, the WaPo calibration curve shows the probability of recidivism. The \"other\" calibration curve is the other way around: for each probability of recidivism, it shows the probability of being classified as high risk.\n", "\n", "Here's how we compute it.\n", "\n", "First, we compute the fraction of recidivists who were classified as high risk." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.6259612426945556" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "recid = (cp['two_year_recid'] == 1)\n", "high_risk_recid = cp.loc[recid, 'decile_score'] > 4\n", "high_risk_recid.mean()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.32349230381024474" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "high_risk_norecid = cp.loc[~recid, 'decile_score'] > 4\n", "high_risk_norecid.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'll call these two probabilities:\n", "\n", "* $p(highrisk ~|~ recid)$\n", "\n", "* $p(highrisk ~|~ norecid)$\n", "\n", "For a given defendant, we don't know, and can't know their actual probability of recidivism. But imagine a hypothetical defendant whose probability of recidivism is $p(recid)$. For that defendant,\n", "\n", "$p(highrisk) = p(recid) \\cdot p(highrisk ~|~ recid) + p(norecid) \\cdot p(highrisk ~|~ norecid)$\n", "\n", "And that's what the following function computes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def prob_highrisk_vs_prob_recid(cp, thresh=4):\n", " \"\"\"Computes FPR for a range of prob_recid.\n", " \n", " cp:\n", " thresh: threshold between low and not low risk\n", " \n", " returns: Series\n", " \"\"\"\n", " recid = (cp['two_year_recid'] == 1)\n", " highrisk_recid = cp.loc[recid, 'decile_score'] > thresh\n", " highrisk_norecid = cp.loc[~recid, 'decile_score'] > thresh\n", " \n", " p_highrisk_recid = highrisk_recid.mean()\n", " p_highrisk_norecid = highrisk_norecid.mean()\n", "\n", " ps = np.linspace(0, 1, 11)\n", " qs = ps * p_highrisk_recid + (1-ps) * p_highrisk_norecid\n", " return pd.Series(qs, index=ps)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0 0.323492\n", "0.1 0.353739\n", "0.2 0.383986\n", "0.3 0.414233\n", "0.4 0.444480\n", "0.5 0.474727\n", "0.6 0.504974\n", "0.7 0.535221\n", "0.8 0.565467\n", "0.9 0.595714\n", "1.0 0.625961\n", "dtype: float64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cal_all = prob_highrisk_vs_prob_recid(cp)\n", "cal_all" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from utils import decorate\n", "\n", "cal_all.plot(color='gray', label='All defendants')\n", "\n", "decorate(xlabel='Actual probability of recidivism',\n", " ylabel='Probability of high risk classification',\n", " title='The other calibration curve')\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "white = (cp.race=='Caucasian')\n", "cal_white = prob_highrisk_vs_prob_recid(cp[white])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "black = (cp.race=='African-American')\n", "cal_black = prob_highrisk_vs_prob_recid(cp[black])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cal_all.plot(linestyle='dotted', color='gray', label='all')\n", "cal_black.plot(label='Black defendants')\n", "cal_white.plot(label='White defendants')\n", "\n", "decorate(xlabel='Actual probability of recidivism',\n", " ylabel='Probability of high risk classification',\n", " title='The other calibration curve')\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "male = (cp['sex'] == 'Male')\n", "cal_male = prob_highrisk_vs_prob_recid(cp[male])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "female = (cp['sex'] == 'Female')\n", "cal_female = prob_highrisk_vs_prob_recid(cp[female])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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VK1ZUJk2apOzYsUMBlL179+r3S01NVV588UXF0dFRAfSlQh7087B7926lTZs2irW1tWJvb68EBAQo58+fz7PP/e/P7du382wv6Pof5L/ec0VRlJ9//lmpWrWqYmFhoTRq1EjZsWPHA8udzJkz54HnSk5OVqytrfOV5/mnlJQUZcqUKUr16tUVCwsLxcXFRfHz81Pmzp2rZGdn/+f1CPGk0SiKEZ52FUIIIYQQJU6esRNCCCGEKCUksRNCCCGEKCUksRNCCCGEKCUksRNCCCGEKCUksRNCCCGEKCUksRNCCCGEKCWkQHEBdDodt27doly5ckZZFkkIIYQQoqgURSElJYWKFSvmWcqxIJLYFeDWrVt4enqWdBhCCCGEEHrXr1+ncuXKD91HErsC3F8S6fr169jb25dwNEIIIYQoy5KTk/H09NTnJw8jiV0B7t9+tbe3l8ROCCGEEE+EwjweJpMnhBBCCCFKCUnshBBCCCFKCUnshBBCCCFKCXnG7hFotVpycnJKOgwhHpm5uTmmpqYlHYYQQohHJIldESiKQkxMDImJiSUdihBG4+joSIUKFaR2oxBCPMUksSuC+0mdm5sbNjY28odQPNUURSE9PZ24uDgAPDw8SjgiIYQQRSWJnYG0Wq0+qXN2di7pcIQwCmtrawDi4uJwc3OT27JCCPGUkskTBrr/TJ2NjU0JRyKEcd3/mZbnRoUQ4ukliV0Rye1XUdrIz7QQQjz9JLETQgghhCglJLETAFy5cgWNRkNISAgA+/btQ6PRyMxfIYQQ4ikiiZ0QQgghRCkhiZ0QQgghRCkhiV0Zsn37dtq2bYujoyPOzs707t2byMjIkg5LCCGEeGpFxKWy50JsSYehJ4mdEWVnZ5OdnY2iKPptWq2W7OxscnNzjbpvUaSlpREUFMSJEycIDg7GxMSE/v37o9PpHqlfIYQQoqzR6RRWHIqi16I/GPtrCDcTM0o6JEAKFBvV7NmzAZgwYQK2trYAHDp0iL1799K4cWP69Omj33fu3Lnk5OQwduxYHB0dAfjzzz/ZsWMHDRo0YMCAAfp9Fy5cSHp6OiNHjsTNza3I8T377LN52t9//z2urq6cP38eOzu7IvcrhBBClCXRSRlM/O00ByPiAWjhUx4zkyejZJSM2JUhly5d4oUXXqBq1arY29vj7e0NwLVr10o2MCGEEOIpoCgKG0Nu4j//AAcj4rEyN2FW33r8OKwF7vZWJR0eICN2RjVlyhQAzM3N9dvatGlDq1atMDHJm0NPmDAh377NmzenSZMm+fYdO3Zsvn2LIiAgAC8vL5YvX07FihXR6XTUr1+f7OzsR+pXCCGEKO0S07N5f8NZtp6OBqChpyPzBjakmuuTdcdLEjsjsrCwyLfN1NS0wHU3H3VfQyUkJBAeHs7y5ctp164dAAcPHnzkfoUQQojSbl94HJPWniYuJQtTEw1jOtfgrY5VMTd78tbVlsSujHBycsLZ2ZlvvvkGDw8Prl27xuTJk0s6LCGEEOKJlZ6dyyfbwvj5qPrIUjVXW754viGp186x4f9CeO6555645RjlGbsywsTEhFWrVnHy5Enq16/P+PHjmTNnTkmHJYQQQjyR/rp2l16LDuqTuqF+3mwd047KNlr27dvH+fPnn8iSYTJiV4Z07dqV8+fP59n2zxIq//x3x44dH7m8ihBCCPG0ydHqWBx8iaX7ItHqFDwcrJjzXEPa1nABwMrFhW7dumFhYUG1atVKONr8JLETQgghhAAi4lIYvzqUMzeTAOjbqCITO1XhyIE9JLk9g4ODAwAtW7YsyTAfShI7IYQQQpRpOp3CysNX+Gz7BbJydThYm/Nx//r09q3IL7/8wqVLl8jJyeHFF18s6VD/kyR2QgghhCizbiVmMHFtKIciEgBoX9OVOc/56uvS+fv7k52dTbdu3UoyzEKTxE4IIYQQZY6iKGwIucm0jedIyczF2tyU93rVoWX5LKIvX8C9USMAnJ2dGTp0aInGaghJ7IQQQghRptxNy2bqhrNsPaMWG27k6cj8QY0gJY4ff/wVMzMzPD09cXZ2LtlAi0ASOyGEEEKUGXvD43j3XrFhMxMNY7vUYGTHapiZmqA4e1OtWjVcXV2xt7cv6VCLRBI7IYQQQpR66dm5fLw1jP8d+0ex4ecakBUTgYlGLVui0Wh48cUX8y3t+TSRxE4IIYQQpdqpa3cJWh3ClYR0AALbeDPJvxa//vwj169fJycnh7Zt2wI81UkdSGInhBBCiFIqO1fHouBLfLkvAp0CHg5WzH2+IW2qq8WGmzRpwp07d3B1dS3hSI3n6U5LRYm5cuUKGo2GkJAQo/a7cuVKHB0dDTomJiaGbt26YWtra/CxhurYsSPjxo0r1nMIIYR4dJdiU+j/5SGW7FWTuv6NK/HLK/Wo6fD3qkoNGzZk9OjR1KpVqwQjNS5J7MqIoUOHotFoGDFiRL7XRo0ahUajeaqmc//T/PnziY6OJiQkhIsXL5Z0OAabMWMGje5NqxdCCPFodDqFb/+4TK/FBzl3KxlHG3O+fKkJIxvb8MsP37Fu3Tq0Wi2gPlNnZWVVwhEblyR2ZYinpyerVq0iIyNDvy0zM5NffvmFKlWqlGBkjyYyMpKmTZtSo0YN3NzcSjocIYQQJeRmYgYvfXuMj7aGkZ2ro2MtV3aOa0/PBh5UrFgRCwsLbG1tycrKKulQi40kdmVIkyZN8PT0ZP369fpt69evp0qVKjRu3DjPvtu3b6dt27Y4Ojri7OxM7969iYyMfGj/Z8+epUePHtjZ2eHu7s4rr7xCfHz8Q49ZuXIlVapUwcbGhv79+5OQkJBvn40bN9KkSROsrKyoWrUqM2fOJDc3FwBvb2/WrVvHjz/+mGfUMTExkddff10/Zb1z586Ehobq+7w/SvbTTz/h7e2Ng4MDgwcPJiUlRb9PWloar776KnZ2dnh4ePDFF1/ki+2nn36iWbNmlCtXjgoVKvDiiy8SFxenf33fvn1oNBqCg4Np1qwZNjY2+Pn5ER4err/+mTNnEhoaikajQaPRsHLlShRFYcaMGVSpUgVLS0sqVqzImDFjHvpeCiFEWaUoCutO3qD7/AMcuZyAtbkpH/Wrx+zunrjdW0HCzs6O1157jZdffhkbG5sSjrj4SGJnBIqikJ6d+9i/FEX57+D+ZdiwYaxYsULf/v777wkMDMy3X1paGkFBQZw4cYLg4GBMTEzo378/Op2uwH4TExPp3LkzjRs35sSJE2zfvp3Y2FgGDhz4wFiOHTvGa6+9xujRowkJCaFTp0589NFHefb5448/ePXVVxk7diznz5/n66+/ZuXKlXz88ccA/Pnnn3Tv3p2BAwcSHR3NwoULAXj++eeJi4vj999/5+TJkzRp0oQuXbpw584dfd+RkZFs2LCBLVu2sGXLFvbv38+nn36qf33ixIns37+fjRs3snPnTvbt28epU6fyxJeTk8OsWbMIDQ1lw4YNXLlypcBb2u+//z5ffPEFJ06cwMzMjGHDhgEwaNAg3nnnHerVq0d0dDTR0dEMGjSIdevWMX/+fL7++msuXbrEhg0baNCgwQPfSyGEKKvupGUz8udTvPNbKClZuTSu4sjm0X5YXDvO8uXLuXnzpn7f8uXLo9FoSjDa4iezYo0gI0dL3Wk7Hvt5z3/oj42FYd/Cl19+mSlTpnD16lUADh06xKpVq9i3b1+e/Z599tk87e+//x5XV1fOnz9P/fr18/W7ZMkSGjduzCeffJLnGE9PTy5evEjNmjXzHbNw4UK6d+/OpEmTAKhZsyaHDx9m+/bt+n1mzpzJ5MmTGTJkCABVq1Zl1qxZTJo0ienTp+Pq6oqlpSXW1tZUqFABgIMHD3L8+HHi4uKwtLQEYO7cuWzYsIG1a9fyxhtvAKDT6Vi5ciXlypUD4JVXXiE4OJiPP/6Y1NRUvvvuO37++We6dOkCwA8//EDlypXzXMP9BO1+bIsWLaJ58+akpqZiZ2enf+3jjz+mQ4cOAEyePJlevXqRmZmJtbU1dnZ2mJmZ6eMHuHbtGhUqVKBr166Ym5tTpUoVWrRoke89FEKIsmzPhVgmrT1DfKpabHhc1xqM6KAWGw41NUWj0RAbG0ulSpWKN5DcLDCzLN5zFJKM2JUxrq6u9OrVi5UrV7JixQp69eqFi4tLvv0uXbrECy+8QNWqVbG3t8fb2xtQE46ChIaGsnfvXuzs7PRftWvXBnjgLdywsDBatmyZZ1vr1q3z9fvhhx/m6Xf48OFER0eTnp7+wFhSU1NxdnbOc1xUVFSeWLy9vfVJHYCHh4f+NmpkZCTZ2dl54itfvny+mVMnT54kICCAKlWqUK5cOX3y9u/3ydfXN895gDy3bP/t+eefJyMjg6pVqzJ8+HD+7//+T3/7WQghyrq0rFymrD/DsJUniE/NooabHWuGN+fNdt6YmaqpTc+ePRk+fDhNmjQpvkDS78D6N+CXgVCEu2jFQUbsjMDa3JTzH/qXyHmLYtiwYYwePRqApUuXFrhPQEAAXl5eLF++nIoVK6LT6ahfvz7Z2dkF7p+amkpAQACfffZZvtfuJzJFkZqaysyZMxkwYEC+1x40kyk1NRUPD498o5BAnnIo5ubmeV7TaDQPvNVckLS0NPz9/fH39+d///sfrq6uXLt2DX9//3zv0z/Pdf82wMPO5enpSXh4OLt372bXrl289dZbzJkzh/379+eLWwghypKTV+8QtCaUq/eKDb/W1odBdazZtvF/xNWuTffu3QGwtrbG2tq6eIJQFDi/AbZNhLTboDGBm6egctPiOZ8BJLEzAo1GY/At0ZLUvXt3srOz0Wg0+PvnT0gTEhIIDw9n+fLltGvXDlBvbz5MkyZNWLduHd7e3piZFe69qFOnDseOHcuz7ejRo/n6DQ8Pp3r16oXq8/4xMTExmJmZ6UcaDVWtWjXMzc05duyYfsbw3bt3uXjxon5U7sKFCyQkJPDpp5/i6ekJwIkTJww+l4WFhX7q/T9ZW1sTEBBAQEAAo0aNonbt2pw5c6Z4P30KIcQTKjtXx4LdF1m2PxKdAhUdrJg7sCF+1Vy4dOkSSUlJXLp0ic6dO2NhYVF8gaTEwNZ34MIWte1aB/oufSKSOpDErkwyNTUlLCxM/+9/c3JywtnZmW+++QYPDw+uXbvG5MmTH9rnqFGjWL58OS+88AKTJk2ifPnyREREsGrVKr799tsCzzNmzBjatGnD3Llz6du3Lzt27MjzfB3AtGnT6N27N1WqVOG5557DxMSE0NBQzp49m2+ixX1du3aldevW9OvXj88//5yaNWty69Yttm7dSv/+/WnWrNl/vkf3Z09NnDgRZ2dn3NzceP/99/MsNVOlShUsLCxYvHgxI0aM4OzZs8yaNes/+/43b29voqKiCAkJoXLlypQrV45ff/0VrVZLy5YtsbGx4eeff8ba2hovLy+D+xdCiKddeEwK41eHcD46GYABTSrxQc9aONmpI3I1atSgf//+1K5du/iSOkWBkP/BjvcgMwlMzKDdO+rXE/J8HcgzdmWWvb099vb2Bb5mYmLCqlWrOHnyJPXr12f8+PHMmTPnof1VrFiRQ4cOodVqeeaZZ2jQoAHjxo3D0dHxgevutWrViuXLl7Nw4UIaNmzIzp07mTp1ap59/P392bJlCzt37qR58+a0atWK+fPnPzTB0Wg0bNu2jfbt2xMYGEjNmjUZPHgwV69exd3d/T/emb/NmTOHdu3aERAQQNeuXWnbti1Nm/79iczV1ZWVK1fy22+/UbduXT799FPmzp1b6P7ve/bZZ+nevTudOnXC1dWVX3/9FUdHR5YvX06bNm3w9fVl9+7dbN68GWdnZ4P7F0KIp9X9YsMBSw5yPjoZJxtzlr7QiADXu/y84ts89eh8fX2LL6lLvAY/D4CNo9SkzqMRvLEfOr33RCV1ABqlKDUzSrnk5GQcHBxISkrKl/xkZmYSFRWFj49PqatWLco2+dkWQjxJbtxNZ8JvoRy9rJap6lTLlc+e88XBQsOyZctITEykd+/eeT5wG51OB39+C7tnQE4amFmpyVyrUWD6+G56Piwv+bcSH7FbunQp3t7eWFlZ0bJlS44fP/7Q/RMTExk1ahQeHh5YWlpSs2ZNtm3b9kh9CiGEEOLJoCgKa0/eoMeCPzh6+Q42FqZ83L8+3w9tjls5KywtLenXrx/PPvts8SZ18ZdgZU/4faKa1FXxgxGHoM3Yx5rUGapEE7vVq1cTFBTE9OnTOXXqFA0bNsTf3/+BZSCys7Pp1q0bV65cYe3atfoH/P9Zn8bQPoUQQgjxZEhIzWLEzyeZcK/YcFMvJ1YHNiQnbC8RERH6/by8vAqsqWoU2lw4OB++agPXjoCFHfScC0O3gkvhJ/KVlBK9FduyZUuaN2/OkiVLALX8g6enJ2+//XaBD+svW7aMOXPmcOHChQeWfDC0z4LIrVhRFsnPthCiJAWHxfLuOrXYsLmphnFdazKiQzX2BO/m8OHDlC9fnlGjRj3wuW2jiDkDG0dDdIjartYFAhaAY8mup/5U3IrNzs7m5MmTdO3a9e9gTEzo2rUrR44cKfCYTZs20bp1a0aNGoW7uzv169fnk08+0ZeKKEqfQgghhCg5qVm5TF53mtd+UIsN13S3Y8OoNozqVB1TEw0dO3akYcOGvPTSS8WX1OVmwZ6P4JuOalJn5Qj9voKX15V4UmeoErtJHB8fj1arzTdL0d3dnQsXLhR4zOXLl9mzZw8vvfQS27ZtIyIigrfeeoucnBymT59epD4BsrKy8sysSU5OfoQrE0IIIURhnLiiFhu+dicdjQZeb+tDryo6roYcol7FnoBa4L1fv37FF8SNE+ps19v38oQ6AdDzCyhX+CoKT5In9+m/Auh0Otzc3Pjmm28wNTWladOm3Lx5kzlz5jB9+vQi9zt79mxmzpxpxEiFEEII8SDZuTrm777I1/eKDVdytGbu8w2p5aRhyZIlKIpC9erVC1xn3HhBpKujdEe/BBSwdVWfpavXr/jO+RiUWGLn4uKCqakpsbGxebbHxsbmWQz9nzw8PDA3N89T7LZOnTrExMSQnZ1dpD4BpkyZQlBQkL6dnJysX0lACCGEEMYTHpPCuNUhhN0rNvxsk8pM71MXeyv12fn27duj0+moVq1a8QURdQA2vQ13r6jthi+A/ydgU774zvmYlNgzdhYWFjRt2pTg4GD9Np1OR3BwcL6F4O9r06YNERERedbYvHjxIh4eHlhYWBSpTwBLS0t9wd6HFe4VQgghRNFodQrfHIgkYPFBwqKTKW9rweLBvvg7xmKS+/fjUB07dqRz584Frlj0yDKTYPNY+CFATersK8FLa6H/slKR1EEJlzsJCgpi+fLl/PDDD4SFhTFy5EjS0tIIDAwE4NVXX2XKlCn6/UeOHMmdO3cYO3YsFy9eZOvWrXzyySeMGjWq0H0KIYQQ4vG6fiedF5Yf5ZNtF8jW6uhS243t49qRcfEIR44cYcuWLcUfxMUdsLQVnFyptpu9Bm8dhRrdiv/cj1GJPmM3aNAgbt++zbRp04iJiaFRo0Zs375dP/nh2rVreWbAeHp6smPHDsaPH4+vry+VKlVi7NixvPvuu4XuUzxZvL29GTduHOPGjTNan1euXMHHx4e//vqLRo0aFeoYRVF48803Wbt2LXfv3jXoWEPNmDGDDRs2EBISUiz9CyHEk+J+seGZm8+TmpWLjYUp03rXZVBzTzQaDR06dCAmJoYWLVoUXxBpCbB9MpxZo7bLV4U+i8G7bfGdswSV+OSJ0aNHM3r06AJf27dvX75trVu35ujRo0Xus6waOnQoP/zwQ77tly5donr1J7/gYnHbvn07K1euZN++fVStWhUXF5eSDskg+/bto1OnTty9exdHR8eSDkcIIUhIzWLK+jPsPK8+997My4kpnSthRwYajQZQq1aMHj26eMqYKAqc+z/YNhHS40FjAq1HQcf3wMLG+Od7QpR4Yicen+7du7NixYo821xdXUsomidLZGQkHh4e+Pn5lXQoQgjx1Nt9PpbJ608Tn5qNuamG8d1q0quqJT/9+ANmZmaMGDFC/yG0WJK65GjYNgEu3LvF61YX+iyBysW4BNkTosTXihWPj6WlJRUqVMjzdf/h1I0bN9KkSROsrKyoWrUqM2fOJDc3V3+sRqPh66+/pnfv3tjY2FCnTh2OHDlCREQEHTt2xNbWFj8/PyIjI/XHREZG0rdvX9zd3bGzs6N58+bs3r37oTEmJiby+uuv4+rqir29PZ07dyY0NPShxxw/fpzGjRtjZWVFs2bN+Ouvv/Ltc/bsWXr06IGdnR3u7u688sorxMfHA+po5ttvv821a9fQaDR4e3sD6sSb2bNn4+Pjg7W1NQ0bNmTt2rX6Pvft24dGoyE4OJhmzZphY2ODn58f4eHhec796aef4u7uTrly5XjttdfIzMzM8/qff/5Jt27dcHFxwcHBgQ4dOnDq1Kk8+2g0Gr799lv69++PjY0NNWrUYNOmTYB667lTp04AODk5odFoGDp0KABr166lQYMGWFtb4+zsTNeuXUlLS3vo+ymEEEWVmpXLu2tP8/qPJ4hPzaaWezk2jGrDWx2r41m5Eh4eHnh7e2NmVkzjSooCp36CpS3VpM7EDDpMhjf2l4mkDgBF5JOUlKQASlJSUr7XMjIylPPnzysZGRl/b9TpFCUr9fF/6XSFvqYhQ4Yoffv2LfC1AwcOKPb29srKlSuVyMhIZefOnYq3t7cyY8YM/T6AUqlSJWX16tVKeHi40q9fP8Xb21vp3Lmzsn37duX8+fNKq1atlO7du+uPCQkJUZYtW6acOXNGuXjxojJ16lTFyspKuXr1qn4fLy8vZf78+fp2165dlYCAAOXPP/9ULl68qLzzzjuKs7OzkpCQUGDsKSkpiqurq/Liiy8qZ8+eVTZv3qxUrVpVAZS//vpLURRFuXv3ruLq6qpMmTJFCQsLU06dOqV069ZN6dSpk6IoipKYmKh8+OGHSuXKlZXo6GglLi5OURRF+eijj5TatWsr27dvVyIjI5UVK1YolpaWyr59+xRFUZS9e/cqgNKyZUtl3759yrlz55R27dopfn5++vhWr16tWFpaKt9++61y4cIF5f3331fKlSunNGzYUL9PcHCw8tNPPylhYWHK+fPnlddee01xd3dXkpOT87z/lStXVn755Rfl0qVLypgxYxQ7OzslISFByc3NVdatW6cASnh4uBIdHa0kJiYqt27dUszMzJR58+YpUVFRyunTp5WlS5cqKSkpBb6XBf5sCyFEIR2PSlDafhaseL27RfGevEX5aMs5JfTMOUX3j79VGRkZedpGdeeKovzQV1Gm26tfX3dQlJizxXOux+xhecm/SWJXAIMTu6zUv3+QHudXVmqhr2nIkCGKqampYmtrq/967rnnFEVRlC5duiiffPJJnv1/+uknxcPDQ98GlKlTp+rbR44cUQDlu+++02/79ddfFSsrq4fGUa9ePWXx4sX69j8Tuz/++EOxt7dXMjMz8xxTrVo15euvvy6wv6+//lpxdnbO8/346quv8iR2s2bNUp555pk8x12/fl2fCCmKosyfP1/x8vLSv56ZmanY2Ngohw8fznPca6+9przwwguKovyd2O3evVv/+tatWxVAH0/r1q2Vt956K08fLVu2zJPY/ZtWq1XKlSunbN68Wb/t3+9/amqqAii///57nlju3r2r3+fkyZMKoFy5cuWB5/onSeyEEEWRmZOrfLLtvOI9eYvi9e4WxW92sHI44rayevVqZcaMGcqxY8eKNwCtVlGOLlOUjzzUv42z3BTl4EJFyc0p3vM+RoYkdvKMXRnSqVMnvvrqK33b1tYWgNDQUA4dOsTHH3+sf02r1ZKZmUl6ejo2NupDpr6+vvrX788ybtCgQZ5tmZmZJCcnY29vT2pqKjNmzGDr1q1ER0eTm5tLRkYG165dKzC+0NBQUlNTcXZ2zrM9IyMjzy3efwoLC8PX1zfPovX/rlkYGhrK3r17sbOzy3d8ZGRkgZXNIyIiSE9Pp1u3vNPgs7Ozady4cZ5t/3xfPDw8AIiLi6NKlSqEhYUxYsSIPPu3bt2avXv36tuxsbFMnTqVffv2ERcXh1arJT09Pd/79M/z2NraYm9vT1xcXL7Y72vYsCFdunShQYMG+Pv788wzz/Dcc8/h5OT0wGOEEMIQF2KSGbcqhAsxKQA837Qy0wLqUs7KHNMEby5evKifKFEs4i/BxtFw/d6kyip+0HcJOBdjceMnnCR2xmBuA+/dKpnzGsDW1rbAGbCpqanMnDmTAQMG5HvtnwmTubm5/t/3/6MWtO1+AekJEyawa9cu5s6dS/Xq1bG2tua5554jOzu7wPhSU1Px8PAocDb0o8z0TE1NJSAggM8++yzfa/cTsYKOAdi6dSuVKlXK85qlpWWe9sPeg8IYMmQICQkJLFy4EC8vLywtLWndunW+9+mf57l/roedx9TUlF27dnH48GF27tzJ4sWLef/99zl27Bg+Pj6Fjk8IIf5Nq1P49o/LfLHzItlaHeVtLZjRqybtqzpQ7t4KEs2bN6dGjRrF82FSmwOHF8G+z0CbBRZ20G0mNB0GxTEZ4ykiiZ0xaDRgYVvSURRZkyZNCA8PN3rZk0OHDjF06FD69+8PqMnSlStXHhpHTEwMZmZm+gkM/6VOnTr89NNPZGZm6pPQf5fDadKkCevWrTPogd26detiaWnJtWvX6NChQ6GOeVB8x44d49VXX9Vv+3d8hw4d4ssvv6RnT3XB6+vXr+sndhSWhYUFoI60/pNGo6FNmza0adOGadOm4eXlxf/93//lWUJPCCEMcf1OOu+sCeX4lTsAdK3jxtutnNm9ZS23/3IkMDAQExMTNBpN8SR10adh4yiIOa22q3eF3gvAUZYCBZkVK4Bp06bx448/MnPmTM6dO0dYWBirVq1i6tSpj9RvjRo1WL9+PSEhIYSGhvLiiy8+dISpa9eutG7dmn79+rFz506uXLnC4cOHef/99zlx4kSBx7z44otoNBqGDx/O+fPn2bZtG3Pnzs2zz6hRo7hz5w4vvPACf/75J5GRkezYsYPAwMB8idB95cqVY8KECYwfP54ffviByMhITp06xeLFiwusB/ggY8eO5fvvv2fFihVcvHiR6dOnc+7cuXzv008//URYWBjHjh3jpZdewtrautDnAPDy8kKj0bBlyxZu375Namoqx44d45NPPuHEiRNcu3aN9evXc/v2berUqWNQ30IIAWqx4TV/Xqf7ggMcv3IHWwtTPn/Wl+WvNsO7gjM5OTlkZmbq73gYXW4WBM+C5Z3UpM7KEfotU5cEk6ROTxI7gb+/P1u2bGHnzp00b96cVq1aMX/+fLy8vB6p33nz5uHk5ISfnx8BAQH4+/vTpEmTB+6v0WjYtm0b7du3JzAwkJo1azJ48GCuXr36wJVD7Ozs2Lx5M2fOnKFx48a8//77+W65VqxYkUOHDqHVannmmWdo0KAB48aNw9HR8aH1k2bNmsUHH3zA7NmzqVOnDt27d2fr1q0G3cYcNGgQH3zwAZMmTaJp06ZcvXqVkSNH5tnnu+++4+7duzRp0oRXXnmFMWPG4ObmVuhzAFSqVImZM2cyefJkfcFPe3t7Dhw4QM+ePalZsyZTp07liy++oEePHgb1LYQQ8alZvPHTSSatO01atpYW3uVZO7wJA++tIOHg4MArr7zCG2+8UTzrrV8/DsvawR9zQZcLdfrAqOPQ6AX1rpnQ0yiKopR0EE+a5ORkHBwcSEpKyvcDmpmZSVRUFD4+PnmePxPiaSc/20KIguw8F8OU9WdISMvGwtSE8d1q4JMVyckTJ3j99deLd8nO7DTY8xEc/QpQwNYNes2Fun2L75xPoIflJf8mz9gJIYQQIp+UzBxmbTnPmhM3AKhdoRzzBzWidoVyrFr1J7m5uYSHhxdfYnd5P2weA3evqO2GL4D/J2BTvnjOV0pIYieEEEKIPI5H3SFoTQg37mag0cDwdj6M61IDG0t1xmtAQAA3b96kVq1axj95ZhLsnAqnflTb9pUhYAHU6PbQw4RKEjshhBBCAJCVq2Xezot888dlFAUqO1kz3d+bqyf2cPRQDJ07dwbU55uLJakL/x22jIeUaLXd7DXoOgOsiuG5vVLK4MQuLS2NTz/9lODgYOLi4vLNcrx8+bLRghNCCCHE4xEWncz41X8XGx7UzJMPAupyNSKcwzdvcufOHfz8/IrnGdy0ePj9XTh7bz3u8lWhzxLwbmP8c5VyBid2r7/+Ovv37+eVV17Bw8OjeCtKCyGEEKJYaXUK3xy4zLxd4eRoFZxtLZg9oAHP1KsAQL169UhKSqJevXrGT+oUBc6ug98nQXoCaEyg9Wjo9B6YG1b2SagMTux+//13tm7dSps2ZTuLNmRlASGeBvIzLUTZcy0hnXd+C+HPK3cB6FbXnZdrmRBxdCs5NV/Vr3jj5+dn/JMnR8PWIAjfprbd6qrLgVVqavxzlSEGJ3ZOTk6UL192Z6RYWFhgYmLCrVu3cHV1xcLCQkYtxVNNURSys7O5ffs2JiYm+lUshBCll6IorP7zOrO2nCctW4udpRnTAurSp74rS5cuJTU1lRMnTuRbe9tIJ4e/foIdUyErCUzMof0EaBsEZvL751EZXMfu559/ZuPGjfzwww/6xeFLm/+qF5OdnU10dDTp6eklEJ0QxcPGxgYPDw9J7IQo5W6nZDFl/Wl2h8UB0MKnPF883xDP8urf9IiICKKjo2nTps1Di7gXyd0rsGkMRO1X2xWbQN+l4F7XuOcpZQypY2dwYte4cWMiIyNRFAVvb+98C5OfOnXK8IifMIV5AxVFITc394FLUgnxNDE1NcXMzExGn4Uo5bafjeG9/zvDnXvFhsd2rkrFlAs0btSw0Gt0F4lOC8e/geAPIScdzKyg0/vQ6i0wlQId/6VYCxT369evqHGVKhqNBnNz83yJrRBCCPGkScnMYebm86w9qRYbruNhz/xBDbl+5hiHQ0O4fu0qo0aNwtTU1Pgnvx0Om96G68fUtlcb6LMYnKsZ/1zC8MRu+vTpxRGHEEIIIYrB0csJvLMmlJuJarHhN9tXY3y3GliameLj1J6YmBg6dOhg/KROmwOHFsL+z0CbDRZ20G0mNB0Gxr7FK/SKPP558uRJwsLCAHUqdOPGjY0WlBBCCCEeTWaOli92hvPtwSgUBTzLWzOlUyXsMmKxNKsNgKWlJa+88orxTx4dChtHQcwZtV29K/ReAI6exj+XyMPgxC4uLo7Bgwezb98+HB0dAUhMTKRTp06sWrUKV1dXY8cohBBCCAOcu5VE0OpQwmPVYsODm3sypl0lvvv6S3Q6HR4eHtSoUcP4J87JhAOfw8EFoGjByhF6fAa+g0Ce4X0sDE7s3n77bVJSUjh37hx16tQB4Pz58wwZMoQxY8bw66+/Gj1IIYQQQvw3rU5h2f5IFuy+SI5WwcXOgk8H+NK1rjsALVq0IDU1lcqVKxv/5NeOwabREH9RbdftCz3ngp2b8c8lHsjgWbEODg7s3r2b5s2b59l+/PhxnnnmGRITE40ZX4kwZPaJEEII8SS4mpBG0JpQTl5Viw3713Pnee9c2jRriLW1uoqDTqczfgmT7DR1tuuxrwEFbN2g1xdQt49xz1OGFeusWJ1OV+BMUHNzc6lcL4QQQjxmiqKw6l6x4fR7xYZn9KmH+Y1THNrzF0lxN3n22WcBjJ/URe6FzWMg8Zrabvgi+H8MNmV3IYOSZnBi17lzZ8aOHcuvv/5KxYoVAbh58ybjx4+nS5cuRg9QCCGEEAWLS8lkyrozBF9Qiw23qlqeuc83pLKTDTcraLhwIQxvb28URTFuncqMRNg5VV1BAsDBU50cUaOr8c4hisTgW7HXr1+nT58+nDt3Dk9PT/22+vXrs2nTpuK5b/+Yya1YIYQQT7rtZ6OZsv4Md9NzsDAzYWxHb3pWt8bnH4WGs7KysLS0NO6JL2xT13hNiVbbzYdD1+lgWc645xF6xbryBKjDvrt37+bChQsA1KlTh65dS0+WLomdEEKIJ1VyZg4zNp1j/ambANT1sGdqV08Obl0DwFtvvYWdnZ3xT5wWD79PgrPr1Hb5amqhYe82xj+XyKNYn7EDddWFbt260a1btyIFKIQQQgjDHYlMYMJvarFhEw2M7FiNsV1qYqpROHPQAVBH6Yya2CmKmsz9PgnSE0BjAn5vQ8cpYG5tvPMIoyhUYrdo0SLeeOMNrKysWLRo0UP3HTNmjFECE0IIIYQqM0fL3B1qsWGAKuVteL9LJZ5pUkP/7NwLL7yAra2tcVeQSL4FW4Lg4u9q260e9F0ClZoY7xzCqAp1K9bHx4cTJ07g7OyMj4/PgzvTaLh8+bJRAywJcitWCCHEk+LszSSC1oRwMTYVgBdaVKGlxQ1CTx6nb9++NGrUyPgnVRQ49QPs/ACyksHEHNpPhLbjwczC+OcTD2X0W7FRUVEF/lsIIYQQxSNXq+PrA5f/UWzYks+fa0Dn2u4cPJgEQEJCgvFPfCdKLWESdUBtV2oKfZaAe13jn0sYncEFbT788EPS09Pzbc/IyODDDz80SlBCCCFEWXYlPo2BXx9hzo5wcrQK/vXc2TiiGZ1rqytI+Pn5MWzYMOOWGdNp4ciX8JWfmtSZWcMzH8FruySpe4oYPCvW1NSU6Oho3NzyLhGSkJCAm5sbWq3WqAGWBLkVK4QQoiQoisIvx6/x8dYw0rO1lLM0Y0LnKqSf34+trQ2vvPKKcevR3Xc7HDaOhhvH1bZXW+izCJyrGf9cwmDFOiv2QUUOQ0NDKV9eKk0LIYQQRRGXnMm7606zN/w2AK2rOjN3YEOstOl8fegOqakp3L1717h/a7U5cGgB7P8ctNlgUQ6e+RCaDAVjr1IhHotCJ3ZOTk5oNBo0Gg01a9bMk9xptVpSU1MZMWJEsQQphBBClGa/n4nmvf/7u9jwhG41eL1dNUxMNIA1zz//PB4eHsYtYxIdChtHQcwZtV3jGeg9Hxye/oUGyrJCJ3YLFixAURSGDRvGzJkzcXBw0L9mYWGBt7c3rVu3LpYghRBCiNIoOTOHGRvPsf4vtdhwvYr2vF7PnIjj/8fd+sNwdnYGoEaNGsY7aU4m7P8MDi0ERQvWTtD9M/AdCMVxm1c8VoVO7IYMGQKopU/8/PwwNzcvtqCEEEKI0u5wRDwTfgvlVlImJhp4q2N13u5cndW//o/09HT+/PNPunfvbtyTXjsGm0ZD/EW1Xbcf9JwDdm4PPUw8PYq0pNh9mZmZZGdn59lWGiYbyOQJIYQQxSUzR8vn28P5/pBaPszb2YYvnm9IU2/12bmkpCQuXLhAixYtjDdRIisV9syCY18DCti5Q68voE6AcfoXxapYJ0+kp6czadIk1qxZU2D9nNIwK1YIIYQoDmdvJjF+dQiX4tRiw4OaVsRXF0nGjfPg3RYABwcHWrZsabyTRu5V69IlXlPbjV4C/4/VW7Ci1DF4ysvEiRPZs2cPX331FZaWlnz77bfMnDmTihUr8uOPPxZHjEIIIcRTLVerY8meS/RbeohLcam4lrNkxdDmvFjThIgL5zhw4ECBNWIfSUaiOjnip35qUufgCS+vg35fSlJXihk8Yrd582Z+/PFHOnbsSGBgIO3ataN69ep4eXnxv//9j5deeqk44hRCCCGeSlfi0xi/JoS/riUC0LNBBT7q14DythYoiisxMTE0aNAAGxsb4530wlZ1jdfUGLXd4g3oMg0syxnvHOKJZHBid+fOHapWrQqoz9PduXMHgLZt2zJy5EjjRieEEEI8pRRF4X/H1GLDGTlaylmZMaZNBcolXMDBqhGgrrHu7+9vvJOmxcO2iXBuvdp2rq4uB+YlVSvKCoNvxVatWlW/Xmzt2rVZs2YNoI7kOTo6GjU4IYQQ4mkUl5xJ4Mo/mbrhLBk5WvyqObN1tB+JITsJD7/AkSNHjHtCRYHTv8GS5mpSpzGFNuNgxEFJ6soYg0fsAgMDCQ0NpUOHDkyePJmAgACWLFlCTk4O8+bNK44YhRBCiKfG1tPRvL/hDInpOViamfBu99oM9fPGxERDr169iIiIoHnz5sY7YdJN2BoEF7erbff60HcJVGxsvHOIp8YjlTsBuHr1KidPnqR69er4+voWqY+lS5cyZ84cYmJiaNiwIYsXL6ZFixYF7rty5UoCAwPzbLO0tCQzM1PfHjp0KD/88EOeffz9/dm+fXuh4pFyJ0IIIQyVlJHD9I1n2RByC4D6Fe15sWouHRrXpFKlSsY/oaLAqR9g5weQlQwm5tBhkjpSZ2Zh/POJElOs5U7+zcvLCy8vryIfv3r1aoKCgli2bBktW7ZkwYIF+Pv7Ex4ejptbwQUT7e3tCQ8P17cLqvPTvXt3VqxYoW9bWloWOUYhhBDiYQ7dKzYcfa/Y8KhO1fE1vcnhg39w58o5RowYgZnZI//J/dudy7BpDFz5Q21XaqaO0rnVMd45xFPJ4J+yMWPGUL16dcaMGZNn+5IlS4iIiGDBggUG9Tdv3jyGDx+uH4VbtmwZW7du5fvvv2fy5MkFHqPRaKhQocJD+7W0tPzPfYQQQohHkZmj5bPtF1hx6AqgFhueN6gRTao4kZFRhUvhF2jbti2mpqbGOaFOqxYZDv4QcjPAzBq6fAAtR4CJkc4hnmoGT55Yt24dbdq0ybfdz8+PtWvXGtRXdnY2J0+epGvXrn8HZGJC165dH/pgaWpqKl5eXnh6etK3b1/OnTuXb599+/bh5uZGrVq1GDlyZIHFlIUQQoiiOnMjid6LD+qTuoGNK/BxezuaVFFrxFlbWzNixAh8fX2Ns4JE3AX43h92TFGTOu928NZhaD1KkjqhZ/CIXUJCAg4ODvm229vbEx8fb1Bf8fHxaLVa3N3d82x3d3fnwoULBR5Tq1Ytvv/+e3x9fUlKSmLu3Ln4+flx7tw5KleuDKi3YQcMGICPjw+RkZG899579OjRgyNHjhT4qSkrK4usrCx9Ozk52aDrEEIIUXbkanV8uS+SRcGXyNUpuJWz5MPeNQn5/Rd2X8iikrsr3t7egDpY8ci0OXBwARz4HLTZYFEOnpkFTYaAMfoXpYrBiV316tXZvn07o0ePzrP9999/19e3K06tW7emdeu/p277+flRp04dvv76a2bNmgXA4MGD9a83aNAAX19fqlWrxr59++jSpUu+PmfPns3MmTOLPXYhhBBPt8u3UwlaE0rI9UQAejXw4KN+9XGytSD7al1u375NuXJGLAJ8KwQ2jobYM2q7hj/0ng8OxTAZQ5QKBid2QUFBjB49mtu3b9O5c2cAgoOD+eKLLwx+vs7FxQVTU1NiY2PzbI+NjS3083Hm5uY0btyYiIiIB+5TtWpVXFxciIiIKDCxmzJlCkFBQfp2cnIynp6ehbwKIYQQpZ2iKPx87Bqf/KPY8FstnQnsVBcrK3UGao8ePTA1NTXOKF1OJuz/FA4tAkUL1uWhx2fQ4Hkwxm1dUWoZnNgNGzaMrKwsPv74Y/0Imbe3N1999RWvvvqqQX1ZWFjQtGlTgoOD6devHwA6nY7g4OB8I4IPotVqOXPmDD179nzgPjdu3CAhIQEPD48CX7e0tJRZs0IIIQoUm5zJpLWn2X/xNgBtqjvTzyOV88e3sis3moCAAEAdaDCKq0dg02hIuDdgUa8/9JgDdq7G6V+UakWaez1y5EhGjhzJ7du3sba2xs7OrsgBBAUFMWTIEJo1a0aLFi1YsGABaWlp+lmyr776KpUqVWL27NkAfPjhh7Rq1Yrq1auTmJjInDlzuHr1Kq+//jqgTqyYOXMmzz77LBUqVCAyMpJJkyZRvXp14y7bIoQQotTbcvoWUzec1RcbntyjNkNae3Pt2lUunDqCtbU1iqIYZ3JEVioEz4TjywEF7CpAry+gTu9H71uUGY9UVMfV9dE/PQwaNIjbt28zbdo0YmJiaNSoEdu3b9dPqLh27VqeYe27d+8yfPhwYmJicHJyomnTphw+fJi6desCYGpqyunTp/nhhx9ITEykYsWKPPPMM8yaNUtG5YQQQhRKUnoO0zadZeM/ig1/0K0KLeuodVu9vb15++23jbeUZuQe2DQWkq6p7cYvwzMfgbWTcfoXZUahVp5o0qQJwcHBODk50bhx44d+Mjl16pRRAywJsvKEEEKUXQcvqcWGY5IzMTXRMKxVJeyu/kFudhZvvfUW1tbWxjtZxl3YMRVCflbbDlWgz0Ko1tl45xBPPaOvPNG3b1/9aNf9Z+GEEEKI0iQjWy02vPLwFQB8XGyZN7Ah9T3s+PrrP9BqNNy9e9d4iV3YFtj6DqTGABpo8QZ0mQaWRX+8SYhCJXZOTk7626GBgYFUrlzZOLN+hBBCiCfA6RuJjF8dQuTtNAAGNfFgej9fbCzUP5ODBw/G1tbWOEld6m34fSKc+z+17VxDXQ6sSqtH71uUeYXKzoKCgvRFe318fAwuRCyEEEI8iXK1OhbuvsSALw8TeTsNt3KWTGldjnIXtxF16e81yV1cXB49qVMUOL0GlrZQkzqNKbQNghEHJakTRlOoEbuKFSuybt06evbsiaIo3Lhxg8zMzAL3rVKlilEDFEIIIYpD5L1iw6H3ig339lWLDZ86epAYrZaLFy9Sr14945ws6SZsGQ+Xdqht9wbqKF3FRsbpX4h7CjV54ptvvuHtt98mNzf3gfvcn+6t1WqNGmBJkMkTQghReimKwk9Hr/LJtjAyc3TYW5kxI6AOA5qqAxNarZawsDDq1av36GVMdDo49QPsmgZZyWBqAR0mQZtxYGqkunei1DMkLylUYgeQkpLC1atX8fX1Zffu3Tg7Oxe4X8OGDQ2P+AkjiZ0QQpROMUmZTFwbyh+X1EeKWvs40cHqGo6Wavkto9Sju+/OZdg0Bq78obYrN4c+S8CttvHOIcoEo8+KBShXrhz169dnxYoVtGnTRmrCCSGEeKpsDlWLDSdlqMWGp/SojX81a777dg/xwO3bt3Fzc3v0E+m0cPQr2PMR5GaAuQ10/gBavgkmpo/evxAPUegRu7JERuyEEKL0SEzP5oON59gcqhYb9q3swLyBjajuppYVCQ0NxcPDwzhJXVwYbBwNN0+obZ/2ELAIyvs8et+izDL6iF358uW5ePEiLi4uODk5PXSo+s6dO4ZFK4QQQhSTAxdvM3FtKLHJWZiaaHixYXnc4k/hatlAv49RHiHS5sDB+bD/c9DlgKW9unJEk1fBmLd3hfgPhUrs5s+fT7ly5fT/NuozCEIIIYSRZWRrmf17GD8euQpAVVdb5j3fkJO71nMj/jb79++nT58+xjnZrb/UUbrYs2q7ZnfoNQ8cKhmnfyEMILdiCyC3YoUQ4ukVel0tNnw5Xi02PKS1F5N71MHawpSEhAROnDhB586dMTd/xFmpORmw71M4vBgULdg4Q4/Pof6zMkonjKpYJk/cd+rUKczNzWnQQB3G3rhxIytWrKBu3brMmDEDCwuLokUthBBCPIIcrY4leyJYsjcCrU7B3d6SF6vp8KuYgbWFOmnB2dkZf3//Rz/Z1SOwaTQkRKjt+s+qSZ2ty6P3LcQjMHhdsDfffJOLFy8CcPnyZQYNGoSNjQ2//fYbkyZNMnqAQgghxH+JiEvl2a8OszD4ElqdQp+GFZnXzZnEC0fYuXMnqampxjlRVgpsmwgreqhJnV0FGPwrPPe9JHXiiWDwiN3Fixdp1KgRAL/99hsdOnTgl19+4dChQwwePJgFCxYYOUQhhBCiYDqdwo9HrjD79wtk5epwsDbno371CWhYEUVRiLl2mbp162JnZ/foJ4sIhs1jIem62m78ijpBwtrx0fsWwkgMTuwURUGn0wGwe/duevfuDYCnp6esISuEEOKxiU7KYOJvpzkYof7taeXtQB/3JHo1qACARqPh2WefffQTZdyFHe9DyP/UtmMVtYRJtU6P3rcQRmZwYtesWTM++ugjunbtyv79+/nqq68AiIqKwt3d3egBCiGEEP+2MeQmH2w4S3JmLlbmJkzuXov4I//HpdhUjrg50qZNG+OcKGwzbH0HUmMBDbQcAZ2ngqURRgCFKAYGJ3YLFizgpZdeYsOGDbz//vtUr14dgLVr1+Ln52f0AIUQQoj7EtOzmbrhLFtORwPQ0NOReQMbUs3VjhDbLoSGhlKvXr1HP1FqnPos3fkNatulprocWJWWj963EMXIaOVOMjMzMTU1ffTp408AKXcihBBPnn3hcUxae5q4FLXY8KD69ozuXIOKFdS7Rff/nD1SrVVFgdNrYPu76i1YjSm0HQftJ4G5lRGuQgjDFWu5k+vXr6PRaKhcuTIAx48f55dffqFu3bq88cYbRYtYCCGEeID07Fw+2RbGz0evAVDN1ZbAOiZE/hnM5pRzvP7665iamj568fykG7BlPFzaqbYrNIC+S8HDCCtTCPGYGFzu5MUXX2Tv3r0AxMTE0K1bN44fP87777/Phx9+aPQAhRBClF1/XbtLr0UH9UndUD9vto5pR7/2TbCzs6N27dqPntDpdHDie1jaSk3qTC2g8wcwfK8kdeKpY/CtWCcnJ44ePUqtWrVYtGgRq1ev5tChQ+zcuZMRI0Zw+fLl4or1sZFbsUIIUbJytDoWB19i6b5ItDqFCvaWjG3tzAudGuv3yc7OfvSi+AmRagmTK3+obc+W6rN0rjUfrV8hjKhYb8Xm5ORgaWkJqOVO7q+1V7t2baKjo4sQrhBCCPG3iLgUxq8O5czNJAB61Xenyu0jXPrjLjdrulGpkroG6yMldTotHP0S9nwMuRlgbgNdpkOL4WBiaozLEKJEGJzY1atXj2XLltGrVy927drFrFmzALh16xbOzs5GD1AIIUTZoNMprDx8hc+2/11s+OP+9entW5F1665y44ZOX0f1kcSFwcZRcPOk2vbpAH0WgZP3o/ctRAkzOLH77LPP6N+/P3PmzGHIkCE0bKg+f7Bp0yZatGhh9ACFEEKUfrcSM5i4NpRDEQkAtPKyZ+7ARlR2LgdAr1690Gg0+jtGRZKbDQfnw4E5oMsBSwfw/0hdQeJRn9MT4glhcGLXsWNH4uPjSU5OxsnJSb/9jTfewMbGxqjBCSGEKN0URWFDyE2mbTxHSmYu1uamvFTPGt3FfZw7kU5lf38ArKwesdTIzVOw6W2IPau2a/WEXvPA3uMRr0CIJ4vBiR2AqalpnqQOwNvb2xjxCCGEKCPupqnFhreeUZ/PbuTpyPxBjci9e4tfwnUkJyejKMqjzXrNyYB9s+HwYlB0YOMMPT6H+s/KKJ0olYqU2K1du5Y1a9Zw7do1srOz87x26tQpowQmhBCi9NobHse794oNm5loGNG2CuP862JmagIuNXjttdeoVKnSoyV1Vw/DxtFwJ1JtN3geun8Kti7GuQghnkAG17FbtGgRgYGBuLu789dff9GiRQucnZ25fPkyPXr0KI4YhRBClBJpWbm8/39nCFzxJ3EpWfg42/C6113MLwWjzc3R71e5cuWiJ3VZKer6rit6qEldOQ94YRU8+60kdaLUMzix+/LLL/nmm29YvHgxFhYWTJo0iV27djFmzBiSkpKKI0YhhBClwMmrd+m56A/+d0wtNhzYxpsNI1tilXGbtLQ0bt269egnidgNX7aGP79V202GwFtHoZYMPIiyweBbsdeuXcPPzw8Aa2trUlJSAHjllVdo1aoVS5YsMW6EQgghnmrZuToWBV/iy30R6BSoYG/JFwMb0aa6Onr2/PPPY2Vl9Wgls9LvwI73IfQXte3oBX0WQ9UORrgCIZ4eBid2FSpU4M6dO3h5eVGlShWOHj1Kw4YNiYqKwsBFLIQQQpRyl2JTGLc6hHO3kgHoXNWOqndP4KZ4AWpid7/gcJGd36Teek2LAzTQaiR0ngoWto/WrxBPIYMTu86dO7Np0yYaN25MYGAg48ePZ+3atZw4cYIBAwYUR4xCCCGeMjqdwveHovh8RzjZuTocbcz5pH8DTG6Gciw6lWPHjlGjRo1HO0lqHGybAOc3qm2XWtB3CXhKTVVRdhm8VqxOp1b+NjNTc8JVq1Zx+PBhatSowZtvvvno6/Y9AWStWCGEKLqbiRlMWBPKkctqseGONV35/Dlf3OytyMnJ4fjx47Rs2VL/d8RgigKnV8P2yZBxFzSm0HY8dJgEZo9QwFiIJ5QheYnBiV1ZIImdEEIYTlEU1p+6yYxN50jJysXa3IR+3grNnbIYMKC/cU6SeB22jIeIXWq7gi/0XQoevsbpX4gnkCF5SaE+Lp0+fbrQJ/f1lf9cQghR1txJy+a99WfYfi4GgMZVHJnc0YMda3/mzA2F1q1b4eHxCKs86HRw8nvYNR2yU8HUEjpOBr+3wdTcSFchxNOvUIldo0aN0Gg0/zk5QqPRoNVqjRKYEEKIp8OeC7FMWnuG+FS12PC4rjUY0aEaZqYm6Lp1w9XV9dGSuoRIdTmwq4fUtmdL6LMEXGsa5wKEKEUKldhFRUUVdxxCCCGeMmlZuXy0NYxfj6t16XycrejhGMfQFh7qChJA69ati34CbS4c/RL2fgy5mWBuC12nQ/PXwcTUGJcgRKlTqMTOy8uruOMQQgjxFDl59Q5Ba0K5mpAOwGttvHGJPkLcrZvs2rWL/v0f8Zm62HPqcmC37i1TWbUjBCwCJ/l7JMTDGDwlafbs2bi7uzNs2LA827///ntu377Nu+++a7TghBBCPFmyc3Us2H2RZfsj0SlQ0cGKuc83xK+6C7GxLuzbt4+uXbsW/QS52fDHF+qXLgcsHcD/Y2j8MjzKurFClBEGz4r19vbml19+0a8+cd+xY8cYPHhwqbhtK7NihRAiv/CYFMavDuF8tFpsuIOXNSNaONO6aUPjnODmSXWULu682q7VC3p9AfaP8HyeEKWA0WfF/lNMTEyBD8G6uroSHR1taHdCCCGecDqdwncHo5izI5xsrQ4nG3NGNHMg5s/t7N9lSb0aPo/2ITg7HfZ9AkeWgqIDGxfo+TnUGyCjdEIYyODEztPTk0OHDuHj45Nn+6FDh6hYsaLRAhNCCFHybtxN5501oRyLugNAp1qufPasLy52Fvx0+wI1atTAzs6u6Ce4clCd8XrnstpuMBC6fwq2j7BurBBlmMGJ3fDhwxk3bhw5OTl07twZgODgYCZNmsQ777xj9ACFEEI8foqisPbkDWZuPk9qVi425qYMrm3B1BeaYWKiznh99dVX0RR1RC0zGXbPgBPfqe1yFaH3fKjV3TgXIEQZZXBiN3HiRBISEnjrrbfIzs4GwMrKinfffZcpU6YYPUAhhBCPV0JqFu/93xl2nIsF1GLDjbNOo0TEceKEHS1aqGuxFjmpu7QLNo+D5Btqu+lQ6PYhWDk8evBClHFFXlIsNTWVsLAwrK2tqVGjBpaWpWd9Ppk8IYQoq4LDYnl33WniU7MxM9EwvltN3mxflVMnT3D8+HH69etH5cqVi9Z5+h3YPgVOr1LbTt5qCZOqHYwWvxClkawV+4gksRNClDWpWbl8tOU8q/68DoC3kyWf9KmFXx1PQL01m5ubi7l5EZfvOrcBtk2AtNuABlq9BZ3fBwtb41yAEKWYIXmJyWOK6aGWLl2Kt7c3VlZWtGzZkuPHjz9w35UrV6LRaPJ8WVlZ5dlHURSmTZuGh4cH1tbWdO3alUuXLhX3ZQghxFPpzyt36LHwAKv+vI5GA31q2tI+8wgXjuxCp9MB6m3XIiV1KbGw+mX4bYia1LnUgtd2QfdPJKkTohiUeGK3evVqgoKCmD59OqdOnaJhw4b4+/sTFxf3wGPs7e2Jjo7Wf129ejXP659//jmLFi1i2bJlHDt2DFtbW/z9/cnMzCzuyxFCiKdGVq6WT3+/wMCvj3D9TgaVHK355fVWzHq2MTaW5pQvX57c3Nyida4oEPILLG0BYZvBxAzaT4QRf4Bnc+NeiBBCr8RvxbZs2ZLmzZuzZMkSAHQ6HZ6enrz99ttMnjw53/4rV65k3LhxJCYmFtifoihUrFiRd955hwkTJgCQlJSEu7s7K1euZPDgwf8Zk9yKFUKUdhdikhm3KoQLMSkA9KjtxGeDm2NvpY7KJScnF/33X+I1dXJEZLDa9mgIfZdChQZGiFyIsqdYb8UmJyc/8LWIiAiD+srOzubkyZN5lp8xMTGha9euHDly5IHHpaam4uXlhaenJ3379uXcuXP616KiooiJicnTp4ODAy1btnxgn1lZWSQnJ+f5EkKI0kirU/jmQCR9Fh/iQkwKTjbmPO9xl0o39pCRdEe/X5GSOp0Oji+HL1urSZ2pJXSdAa/vkaROiMfE4MSuV69eZGVl5dseHh5Ox44dDeorPj4erVaLu7t7nu3u7u7ExMQUeEytWrX4/vvv2bhxIz///DM6nQ4/Pz9u3FCnzd8/zpA+Z8+ejYODg/7L09PToOsQQoinwfU76byw/CifbLtAtlZHl9pu7BjXniZuppiZmT3wTkihxEfAyl7qBInsVPBsBSMPQdvxYGpwZS0hRBEZ/L/Nzs6O/v37s2nTJszM1MPDwsLo3LkzAwcONHqA/9a6dWtat26tb/v5+VGnTh2+/vprZs2aVaQ+p0yZQlBQkL6dnJwsyZ0QotRQFIXfTt7gw3vFhq3NTfigVx1eaOmFRqMhICCA3NxcHB0dDe9cmwtHlsC+2ZCbCea26ihd89fBpMQf4xaizDH4f9369etJSkripZdeQlEUzp49S8eOHXnhhRdYuHChQX25uLhgampKbGxsnu2xsbFUqFChUH2Ym5vTuHFj/W3g+8cZ0qelpSX29vZ5voQQojSIT83ijZ9OMmntaVKzcqnrakl/6wt4ZETpCwzb2dkVLamLOQvfdoHd09WkrmoneOsItHxDkjohSojB//Osra3ZunUr4eHhDBw4kC5duvDqq68yb948g09uYWFB06ZNCQ4O1m/T6XQEBwfnGZV7GK1Wy5kzZ/Dw8ADAx8eHChUq5OkzOTmZY8eOFbpPIYQoDXadj6X7ggPsOh+LuamGSd1r8ekzFbDMSeby5cv6UiYGy82CvZ/ANx0gOkRdMaLvUnjl/8DJy6jXIIQwTKFuxf57MoGJiQmrV6+mW7duPPvss3zwwQf6fQwd7QoKCmLIkCE0a9aMFi1asGDBAtLS0ggMDATUtQgrVarE7NmzAfjwww9p1aoV1atXJzExkTlz5nD16lVef/11QK21NG7cOD766CNq1KiBj48PH3zwARUrVqRfv34GxSaEEE+j1KxcPtx8jjUn1GePa7rZMn9wY+pVVJfsMjM1oXbt2vo1Xw1y4wRsHA23w9R27d7Q6wsoV7i7LEKI4lWoxM7R0bHANQEVRWHZsmV8/fXXKIqCRqNBq9UaFMCgQYO4ffs206ZNIyYmhkaNGrF9+3b95Idr167l+eVz9+5dhg8fTkxMDE5OTjRt2pTDhw9Tt25d/T6TJk0iLS2NN954g8TERNq2bcv27dvzFTIWQojS5njUHd75LYTrdzLQaKCTh46GJuep6dpGv88/f18WWnY67P0Yjn4Jig5sXKDnHKjXH4q6ZqwQwugKVcdu//79he6wQ4enf80/qWMnhHjaZOVqmbfrIt8cuIyiQCVHaz7pU4sTv68iNTWVwYMHU6tWraJ1HvUHbHob7kapbd9B4D8bbJ2NdwFCiAcyJC8p1IhdaUjWhBCitAqLTmb86r+LDT/ftDLTAupSzsocT6v+mJiY4O3tbXjHmcmwaxqcXKG2y1WEgAVQ099osQshjMvgByy2b9/OwYMH9e2lS5fSqFEjXnzxRe7evWvU4IQQQjyYVqewbH8kfZeoxYYdrczo73qbUc0dKHdvBYmqVasWLam7uBO+bPV3Utd0KIw6KkmdEE84gxO7iRMn6idKnDlzhqCgIHr27ElUVFSeWnBCCCGKz/U76bzwzVE+/V0tNty1jhsTG2TjmHqV4OBgirxaZPodWDccfnkekm+Ckw8M2QwBC9XZr0KIJ5rBBYqjoqL0D96uW7eOgIAAPvnkE06dOkXPnj2NHqAQQoi/KYrCbyduMHPzOdKytdhamDItoC4Dm3mSnZ1NsLUpHTt2LHDC2390DOf+D7ZNhPR40JhAq7eg0/tgYVM8FyOEMDqDEzsLCwvS09MB2L17N6+++ioA5cuXlzVWhRCiGMWnZjF53Rl2h6kF2Gs7m/FSdR2DmlcB1GLrRfqAnRIDW9+BC1vUtmtttS5d5WbGCl0I8ZgYnNi1bduWoKAg2rRpw/Hjx1m9ejUAFy9epHLlykYPUAghBOw8F8OU9WdISMvG3FTD8FYepJ3cxOXTcL1Z/aItg6goEPI/2PEeZCaBiRm0DYL2E8DM0vgXIYQodgYndkuWLOGtt95i7dq1fPXVV1SqVAmA33//ne7duxs9QCGEKMtSMnP4cPN5fjupFhuuXaEc8wY2om5Fe4Jt7mBvb1+0D9V3r8KWcRC5R217NIK+S6BCA6PFLoR4/ApVx66skTp2QognwbHLCbzzWyg37magATpX1DEvsDMO5WyL3qlOB39+C7tnQE4amFpCp/eg9WgwNfizvhDiMTB6Hbvk5GR9R//1HJ0kQkII8WiycrV8sfMiy/9Qiw1XdrKmq90tNPGR7NmdS//+/YvWcfwltdDwtSNqu0pr6LMEXKobL3ghRIkqVGLn5OREdHQ0bm5uD11erChLigkhhPjb+VvJBK35u9jwwGaV+aB3XZLiY9m2LZ3WrVsb3qk2F44shr2zQZsF5rbQbSY0ew2Ksl6sEOKJVajEbs+ePZQvXx6AvXv3FmtAQghRFml1Ct8cuMy8XeHkaBUcrUwZ18aNod0aAlCucmWGDx9ueBmTmDOwcRREh6rtap3VmnSOVYx8BUKIJ4FBS4rl5uayf/9+hg0bJjNghRDCSK4lpPPObyH8eUVdvad1FVu84g4R95c5qa1rYmdnB2BYUpebBQfmwMH5oMtViwv7z4ZGL4KhyaEQ4qlh0Bi8mZkZc+bMITc3t7jiEUKIMkNRFFYdv0aPhQf488pd7CzN+Pw5X356oy0+Hi7UrVsXCwsLwzu+/id83V5N7HS5ULs3jDoOjV+SpE6IUs7gKVCdO3dm//79RVt7UAghBAC3U7KYsv40u8PiAKjnZsmyoa3xLK/OeB02bBjm5uaGdZqdDns+gqNfAgrYukLPOVC3nyR0QpQRBid2PXr0YPLkyZw5c4amTZtia5t32n2fPn2MFpwQQpRG28/G8N7/neFOWjYWphraOyVRKfkiCddc8CzfCMDwpC7qgDrj9e4Vte07GLrPBpvyRo1dCPFkMzixe+uttwCYN29evtdkVqwQQjxYSmYOMzefZ+29YsN1POyZP6gh8RGnOXz4OpaWRVjtITMJdk2DkyvVtn0l6L0Aaj5jtLiFEE8PgxM7nU5XHHEIIUSpdvRyAu+sCeVmolpsOLB1Zd7tVR9LM1N0bn40atRIP0mi0C7ugM3jIOWW2m42DLrOBCupJypEWSVlxoUQohhl5mj5Ymc43x6MQlGggp0ZLZQLeCclYGHqC4CJiYlhSV1aAmyfDGfWqG0nH+izGHzaFcMVCCGeJpLYCSFEMTl3K4nxq0O4GJsKwODmnrzlV4Gfvj+BVmtPVlYWVlZWhe9QUeDc/8G2iZAeDxoTaPUWdHofLGyK6SqEEE8TSeyEEMLItDqFZfsjWbD7IjlahfI25nz+XEO61nUH1Bmv7u7umBiy6kNyNGybABe2qG3XOtB3KVRuWgxXIIR4WkliJ4QQRnQ1IY2gNaGcvKoWG67vqKVx7lkau/+dgHl4eBS+Q0WBv36GHe9DVhKYmEG7CdDuHTArQo07IUSpJomdEEIYgaIo/Hr8Oh9tPU96thY7SzNmBNQl7dxerl7N4tq1azg7OxvW6d2rsHksXL63lGPFxuoonXs941+AEKJUKFJip9PpiIiIIC4uLt8s2fbt2xslMCGEeFrEpWQyed0Z9lxQiw239CnP3Ocb4lnehqQafUlNTaVSpUqF71Cngz+Xw+6ZkJMGZlbQ6T1oNQpM5fO4EOLBDP4NcfToUV588UWuXr2Koih5XpM6dkKIsub3M9G8939nuJueg7mJhtZ2txlezwHP8upkBgcHBxwcHArfYfwl2Dgarh9V21X81BmvLtWLIXohRGljcGI3YsQImjVrxtatW/Hw8DBsUWohhCglkjNzmLHpHOtP3QTUYsNv+loSeuBPQv5Kxq91a0xNTQvfoTYXDi+CfZ+CNgss7KDrDGj2GhgyyUIIUaYZnNhdunSJtWvXUr26fHoUQpRNhyPjmfjbaW4mZmCigREdqjGua03MTTV42Cg0bNjQsKQu+jRsGg3RoWq7WhcIWACOVYolfiFE6WVwYteyZUsiIiIksRNClDmZOVrm7Ajnu4NRALjZaOjhdJt3unXH1FQdVWvZsmXhO8zNgv2fw6EFoMsFK0fo/ik0HAxyN0QIUQSFSuxOnz6t//fbb7/NO++8Q0xMDA0aNMi3ULWvr69xIxRCiCfA2ZtqseFLcWqx4ecae+B0ZQ+5d9I4d+6c4b/7rv8JG0dBfLjartMHes6Fcu5GjlwIUZZolH/PgCiAiYkJGo0m32QJfSf3XistkyeSk5NxcHAgKSkJe3tZc1GIsixXq7tXbPgSuToFFztLPnu2AV3quBMWFkZ2dja+vr6Ff944Ow32fARHvwIUsHWDXnOhbt9ivQ4hxNPLkLykUCN2UVFRRglMCCGeJlfi0whaE8Kpa4kA1LPP4bOB9alfXR1Vq1OnjmEdXt4Pm8fA3Stqu+EL4P8J2JQ3XtBCiDKtUImdl5dXccchhBBPDEVR+OX4NT7aEkZGjpZylmb09czG7EYoh4JjqVftDcMqAmQmwc4P4NQPatu+sjo5oka3YolfCFF2GTx5YtOmTQVu12g0WFlZUb16dXx8fB45MCGEKAlxyZm8u+40e8NvA9Cqqlps2NlKw8aNaXTt2tWwpC58O2wZDym31Haz19QyJlbymIcQwvgK9YzdPz3oebt/PmfXtm1bNmzYgJOTk1GDfVzkGTshyqZtZ6J5/36xYVMNz9e04KNXumBiUoQZqmkJsP1dOPOb2i5fFfosAe82xg1aCFHqGZKXGFz1cteuXTRv3pxdu3aRlJREUlISu3btomXLlmzZsoUDBw6QkJDAhAkTinwBQgjxOCVl5DB+dQhv/e8Ud9NzqOlqTS+zM1heOcTNmzcM60xR4MxaWNpcTeo0JuA3BkYelqROCFHsDL4VO3bsWL755hv8/Pz027p06YKVlRVvvPEG586dY8GCBQwbNsyogQohRHE4HBHPhN9CuZWUiYkGRnasxtguNdnxexqWlpZ4eHgUvrPkaNgaBOHb1LZbXei7BCo1LZ7ghRDiXwxO7CIjIwscBrS3t+fy5csA1KhRg/j4+EePTgghiklmjpbPt4fz/aG/iw0vfKEprWuoM1579+5d+GfpFAX++gl2TIWsJDAxh/YToG0QmFkU1yUIIUQ+Bid2TZs2ZeLEifz444+4uroCcPv2bSZNmkTz5s0BddkxT09P40YqhBBGcvZmEuNWhxBxr9hwi/JZ1Ew/R/wFLdQIACh8Unf3CmweC5f3qe2KTaDvUnCva/zAhRDiPxic2H333Xf07duXypUr65O369evU7VqVTZu3AhAamoqU6dONW6kQgjxiHK1Or7aF8nCYLXYsGs5Sz5/1hdvyzTWr4+iVq1ahe9Mp4Pj30DwTMhJBzMr6PQ+tHoLTA3+1SqEEEZh8KxYAJ1Ox86dO7l48SIAtWrVolu3bpiYGDwX44kks2KFKH2i7hUb/uteseEOVe2Z/1JLytuqt0pzcnLyLZH4QLcvwqbRcP2Y2vZqA30Wg3O1YohcCFHWGX3liX8zMTGhe/fudO/evUgBCiHE46IoCj8fu8YnW9Viw7YWJjQ3iaJBSibWJs30+xUqqdPmwOFFsO8z0GaBhR10+xCaBkIp+WArhHi6FSqxW7RoEW+88QZWVlYsWrToofuOGTPGKIEJIcSjik3OZNLa0+y/qBYbbl3VmU/712Xz6kgcHd0MW9s6+jRsHAUxp9V29a7QewE4yvPEQognR6Fuxfr4+HDixAmcnZ0fuqqERqPRz4x9msmtWCGefltO32LqhrMk3is2PLlHHQL9vDEx0ZCamoqtrW3hJkjkZMKBOXBoAehywdoJun8KvoPAkBUohBCiiIx+KzYqKqrAfwshxJMmKT2HaZvOsjFEXcKrkrWWFrowWpf31q8gYWdnV7jOrh9XR+ni1eeJqdsXes4FO7fiCF0IIR6ZTN0SQpQaBy+pxYZjktViw6M6VaeByQ2OHckmNTW18B1lp0HwLDi2DFDA1g16fQF1+xRb7EIIYQwGJ3ZarZaVK1cSHBxMXFwcOp0uz+t79uwxWnBCCFEYGdlaPtt+gZWHrwBQpbw1CwY3pkkVJ7Ta6jTybYCbWyFH2S7vg01jIPGq2m70EjzzEdiUL5bYhRDCmIq0pNjKlSvp1asX9evXL3wRTyGEKAanbyQyfnUIkbfTAGhgncjzlVJo7OkIgKmpaeGSuswk2DkVTv2oth08IWCBOklCCCGeEgYndqtWrWLNmjX07NnTaEEsXbqUOXPmEBMTQ8OGDVm8eDEtWrQoVCwvvPACffv2ZcOGDfrtQ4cO5Ycffsizr7+/P9u3bzdazEKIkpWr1bF0bySL96jFht3KWfJe1yqc2bmaxAQH0tPTsbW1LVxn4b/DlvGQEq22mw+HrtPBslzxXYAQQhQDgxM7CwsLqlevbrQAVq9eTVBQEMuWLaNly5YsWLAAf39/wsPDH/op+8qVK0yYMIF27doV+Hr37t1ZsWKFvm1paWm0mIUQJevy7VTGrwkl9HoiAL0aePBRv/o42VrQwOVFPD09sbAoxBqtafHw+7twdq3aLl8N+i4BL7/iC14IIYqRwRU133nnHRYuXEgRFqwo0Lx58xg+fDiBgYHUrVuXZcuWYWNjw/fff//AY7RaLS+99BIzZ86katWqBe5jaWlJhQoV9F9OTk5GiVcIUXIUReHHI1fouegPQq8nYm0GXW1v8HGvqjjdW0GiWrVq/53UKQqcWQtLW6hJncYE2oyFkYckqRNCPNUKNWI3YMCAPO09e/bw+++/U69evXzV2tevX1/ok2dnZ3Py5EmmTJmi32ZiYkLXrl05cuTIA4/78MMPcXNz47XXXuOPP/4ocJ99+/bh5uaGk5MTnTt35qOPPsLZ2bnAfbOyssjKytK3k5OTC30NQojHIyYpk4lrQ/njUjwAftWcaZp7ntS4GM6dO0ebNm0K11HyLdj6DoRvU9tu9dRRukpNiilyIYR4fAqV2Dk4OORp9+/f3ygnj4+PR6vV4u7unme7u7s7Fy5cKPCYgwcP8t133xESEvLAfrt3786AAQPw8fEhMjKS9957jx49enDkyBFMTU3z7T979mxmzpz5SNcihCg+m0PVYsNJGTlYmpkwuUdthrT25u7dGsTExFCvXr3/7kRR1IkROz+ArCQwMYf2E6HteDArxG1bIYR4ChQqsfvns2olKSUlhVdeeYXly5fj4uLywP0GDx6s/3eDBg3w9fWlWrVq7Nu3jy5duuTbf8qUKQQFBenbycnJeHrKMkFClLSk9Bw+2HiWTaFqsWEPyxwmtXenfxt1BRxnZ+cHjsTncfeKWsIkar/artQU+i4FtzrFFLkQQpSMEi1Q7OLigqmpKbGxsXm2x8bGUqFChXz7R0ZGcuXKFQICAvTb7tfRMzMzIzw8nGrVquU7rmrVqri4uBAREVFgYmdpaSmTK4R4wvxx6TYTfztNTHImpiYa+te0xvbKH0T+ZUNO+2b5HgMpkE4Lx7+B4A8hJx3MrKHzVGg1Ekzyj94LIcTTrkQTOwsLC5o2bUpwcDD9+vUD1EQtODiY0aNH59u/du3anDlzJs+2qVOnkpKSwsKFCx84ynbjxg0SEhLw8PAw+jUIIYwrI1vLp7+H8cMRtUCwj4st8wY2pJGnI7t359KsWSGTutvhsHE03Diutr3bQcBCcM7/4U8IIUqLEl9SLCgoiCFDhtCsWTNatGjBggULSEtLIzAwEIBXX32VSpUqMXv2bKysrKhfv36e4x0dHQH021NTU5k5cybPPvssFSpUIDIykkmTJlG9enX8/f0f67UJIQwTej2R8WtCuHyv2HArl2y+Hd0NOyv1Gbhu3br9dyfaHDi0EPZ/BtpssCgHz3wITYaCicGFAIQQ4qlS4ondoEGDuH37NtOmTSMmJoZGjRqxfft2/YSKa9euYWLAL2NTU1NOnz7NDz/8QGJiIhUrVuSZZ55h1qxZcrtViCdUjlbHkj0RLNkbgVan4GpnQXPdBdzT7nDxvBdNmhRyxmp0KGwcBTH3RvZrPAO954ND5eILXgghniAapRAF6cqXL8/FixdxcXFh2LBhLFy4kHLlSm9F9uTkZBwcHEhKSsLe3r6kwxGiVIu8nUrQ6hBCbyQB0NtXLTZ85eJ57t69S/v27QuczZ5HTiYc+BwOLgBFC9ZO0P0z8B0IsuyhEOIpZ0heUqjEzs7OjtOnT1O1alVMTU2JiYnB1dXVaAE/aSSxE6L46XQKPx29yuzfw8jM0WFtBu89U5VX2hs4U/XaMdg0GuIvqu16/aHHHLArvb+jhBBliyF5SaFuxbZu3Zp+/frRtGlTFEVhzJgxWFtbF7jvw1aMEEIIyF9suLajgm/maTIu3ERpVxtNYUbZslJhzyw49jWggJ079JoHdXoXb/BCCPEEK1Ri9/PPPzN//nwiIyPRaDQkJSWRmZlZ3LEJIUqhjSE3+WDDWZIzc7E0M2FKj9oM8HXh119u0q1bt8IldZF7YfMYSLymthu9DP4fqbdghRCiDCvUrdh/8vHx4cSJE4UrCvqUkluxQhhfYno2UzecZcvpaACqOZnxdWAbqrvZAeo6sP+Z1GUkws6p8NdPatuhCgQsgOr561MKIURpYfRbsf8UFRVV5MCEEGXT/ou3mbQ2lNjkLEw14GsWTcPMW1jn1AfUxO4/k7oL22BrEKSoiSEt3oAu08HSrniDF0KIp0iRyp3s37+fuXPnEhYWBkDdunWZOHEi7dq1M2pwQoinW0a2ltm/h/HjvWLDVV1smTeoEZHHg8nNLaevQ/lQafHw+yQ4u05tO1eHPkvAq3XxBS6EEE8pgxO7n3/+mcDAQAYMGMCYMWMAOHToEF26dGHlypW8+OKLRg9SCPH0+evaXd5ZE8rleLXY8CstPXmvVz2sLUyp79EXU1PTh4/SKYqazP0+CdITQGMKbcZAh3fBvODJW0IIUdYZ/IxdnTp1eOONNxg/fnye7fPmzWP58uX6UbynmTxjJ0TR5Wh1LA6+xNJ9kWh1Cg7mCi01l3i2Td3Cr/6SfAu2jIeL29W2e33ouwQqNi6+wIUQ4gllSF5i8Po6ly9fJiAgIN/2Pn36yPN3QpRxEXEpDPjyMIv2qCtIBDSsyHcDq+FlmY6TUyFmrCoKnFwJS1uqSZ2pBXSaCsP3SlInhBCFYPCtWE9PT4KDg6levXqe7bt378bT09NogQkhnh46ncIPR67w6e8XyMrVUc7SlI8H+NKnYUUAavuMxc7uPyY53IlSS5hEHVDblZpB36XgVruYoxdCiNLD4MTunXfeYcyYMYSEhODn5weoz9itXLmShQsXGj1AIcST7VZiBhPXhnIoIgEAT/NUujvcxr92J/0+D03qdFq1yPCeWZCTDmbW0OUDaDkCTP5jKTEhhBB5GJzYjRw5kgoVKvDFF1+wZs0aQH3ubvXq1fTt29foAQohnkyKorAx5BYfbDxLSmYuVuYmTOpWg6STW7C0tCAtLQ1LS8uHd3I7HDaOght/qm3vdtBnEZSvWvwXIIQQpZDBkyfKApk8IcTD3U1Tiw1vPaPWlGtY2YF5gxpRzdWO+Ph4HB0dMTN7yOdGbQ4cWgD7PwdtNljawzOzoMkQKMzKE0IIUYYUa4FiIUTZti88jklrTxOXkoWJBnxNb/LpMzWp5qrebnVxcXl4B7dCYONoiD2jtmv4Q+/54FCpeAMXQogyQBI7IUShpGfn8sm2MH4+qq7PWtXVloGeGcSGRXPz+jVq16zx8A5yMmH/p3BoEShasC4PPT6HBs/JKJ0QQhiJJHZCiP906l6x4ah7xYaH+nnzbvfamGl0XGtak2rVqj28g2tH1VG6hEtqu94ANamzcy3myIUQomyRxE4I8UA5Wh2Lgi+xdG8EOgXKmWp5sbqWKX3q3dvD9OFJXVYqBH8Ix78BFLCrAL3nQe1ejyN8IYQocwxO7Pbu3UunTp3+e0chxFPtUmwK49eEcPZmMgDdajridn0fJnFmJCcn//fEosg9sGksJKm3bmn8MjzzEVgXolCxEEKIIjE4sevevTuVK1cmMDCQIUOGSFFiIUoZnU5hxeErfLb9Atm5OhyszfmoX30CGlbk9OlyeHt7Pzypy7gLO6ZCyM9q27EKBCyEap0fzwUIIUQZZvCSYjdv3mT06NGsXbuWqlWr4u/vz5o1a8jOzi6O+IQQj9HNxAxe/u4Ys7acJztXh5dlOuuHNyXg3goSvr6+D0/qwrbA0lb3kjoNtHgTRh6RpE4IIR4TgxM7FxcXxo8fT0hICMeOHaNmzZq89dZbVKxYkTFjxhAaGloccQohipGiKPzfXzfovuAAhyMTsDI34Znyd+mkOc+VsJD/7iD1Nvw2FFa/BKkx4FwDhm2Hnp+D5X8sJSaEEMJoHrlA8a1bt/jmm2/49NNPMTMzIzMzk9atW7Ns2TLq1av33x08gaRAsShL7qZl8/6GM2w7EwNAQ09H5g9siK0ujUuXLuHn54eJyQM+AyoKnPkNfn8XMu6AxhTajIUO74K51WO8CiGEKL0MyUsMHrEDyMnJYe3atfTs2RMvLy927NjBkiVLiI2NJSIiAi8vL55//vkiBS+EeHz2hsfxzIIDbDsTg4lG4cUG9qwb0Zqqrna4u7vTtm3bByd1STfhl0Gwfria1Lk3gOF7oOt0SeqEEKKEGDx54u233+bXX39FURReeeUVPv/8c+rXr69/3dbWlrlz51KxYkWjBiqEMJ60rFw+3hbGL8fUGasV7UxpmnMGx5sKOm1LMLV48ME6HZz6AXZNg6xkdd8Ok6DNODA1fzwXIIQQokAGJ3bnz59n8eLFDBgw4IELfLu4uLB3795HDk4IYXwnr94laE0IVxPSAbXY8CT/mmzfmk7z5s2xsHhIUnfnMmwaA1f+UNuVm0OfJeBW+zFELoQQ4r8Y/IzdgQMH8PPzy7fAd25uLocPH6Z9+/ZGDbAkyDN2ojTKzlWLDX+5Ty027GihsPiVlrSrUYjVH3RaOPoV7PkIcjPA3AY6fwAt3wQT0+IPXgghyjBD8hKDR+w6depEdHQ0bm5uebYnJSXRqVMntFqtoV0KIYrZpdgUxq0O4dwttdhwdfO7tDC5gk2yB/AfiV1cmLoc2M0TatunPQQsgvI+xRu0EEIIgxmc2CmKgqaABbsTEhKwtbU1SlBCCOPQ6RS+PxTF5zvCyc7V4Whjzsf9GuCScY2bN22oW7fugw/OzYZDC2D/56DLAUt7deWIJq9CAb8DhBBClLxCJ3YDBgwAQKPRMHTo0DzP12m1Wk6fPo2fn5/xIxRCFMnNxAwmrAnlyOUEAPx8HJn/QlPc7a1QlAoFfkD7++BTsOltiD2rtmv2UNd4tZdJUUII8SQrdGLn4OAAqCN25cqVw9raWv+ahYUFrVq1Yvjw4caPUAhhEEVRWH/qJjM2nSMlKxcLE2hqepXOpjG42rUGeHBSl5MB+2bD4cWg6MDGGXp8DvWflVE6IYR4ChQ6sVuxYgUA3t7eTJgwQW67CvEEupOWzXvrz7D9nFpsuHEVR2Z0r0rwhnCaNm398FG6q4fVUbqECLVd/1k1qbN1eQyRCyGEMIZHXnmiNJJZseJptOdCLO+uO8PtlCxMNTC+W01GdKiGmakJubm5+Way62WlwO6Z8OdytW1XAXrPh9o9H1/wQgghHsjos2KbNGlCcHAwTk5ONG7c+KGf+k+dOmVYtEKIR5KWlctHW8P49bhabNjJJJMOllcYWL85ZqbqqhEPTOoigmHzWEi6rrYbv6JOkLB2fAyRCyGEMLZCJXZ9+/bVT5bo169fccYjhDDAyat3CFoTqi82/Fobb7yST5OZVu7BS4EBZNyFHe9DyP/UtqMX9FkEVTsWf9BCCCGKjdyKLYDcihVPuuxcHQt2X2TZ/kh0Cng4WPHF8w3xq+5CRkYGFhYWmJo+oHDw+U2wbQKkxgIaaDkCunwAFvLcrBBCPImKtUCxEKJkhcekMH51COej1WLD1UzjCWrqiV91dZLDP2es55EapyZ05zeqbZea6nJgVVo+jrCFEEI8BoVK7JycnB4+m+4f7ty580gBCSEK9u9iw0425oxs5kj0nycwUyo8+EBFgdOrYftk9RasxhTajoP2k8Dc6rHFL4QQovgVKrFbsGBBMYchhHiYG3fTmfBbKEcvqx+cOtVy5bNnfXGztyKumXe+Jf70km7A5nEQsUttV2gAfZeCR8PHE7gQQojHqlCJ3ZAhQ4o7DiFEARRFYd2pm8y8V2zYXKOjk+MdlrzUDQsLC4CCkzqdDk6ugF3TITsFTC2gw7vQZiyYmj/mqxBCCPG4FCqxS05O1j+sl5yc/NB9ZbKBEMaRkJrFe/93hh3nYgFoVNmeBul/Ya/J4s6dO1So8IDbrwmRsGkMXD2otj1bqs/SudZ8TJELIYQoKYV+xi46Oho3NzccHR0LfN5OURQ0Gg1ardboQQpR1gSHqcWG41OzMDPRML5bTd5sX5XYmKo4OjoWvPKLTgtHv4Q9H0NuBpjbQJfp0GI4mDxghqwQQohSpVCJ3Z49eyhfvjwAe/fuLdaAhCjLUrNy+WjLeVb9qRYMdjLJ5PMB9ejWrDoAlSpVKvjA2POwcRTculcg3KeDWpfOyfsxRC2EEOJJUajErkOHDgX+WwhhPCeuqMWGr91JR6OBjhV0VL57jvSbZtCsdsEH5WbDwXlwYC7ocsDSAfw/UleQKORMdiGEEKVHkerY3b17l++++46wsDAA6tatS2BgoH5UTwhReNm5OubvvsjX94oNV3K0Zu7zDWlS2Y6zZyvSpEmTgg+8eRI2vg1x59R2rZ7Qax7Yezy+4IUQQjxRDF554sCBAwQEBODg4ECzZs0AOHnyJImJiWzevJn27dsXS6CPk6w8IR6X8JgUxq0OIexeseGWbgrL3/LH3uohM1dzMmDvJ3BkCSg6sHGGHp9D/WdllE4IIUohQ/KShywmWbBRo0YxaNAgoqKiWL9+PevXr+fy5csMHjyYUaNGFSngpUuX4u3tjZWVFS1btuT48eOFOm7VqlVoNJp869cqisK0adPw8PDA2tqarl27cunSpSLFJkRx0OoUvjkQScDig4RFJ+NgZUpniwjqp/2FNiP1wQdeOQRf+cHhRWpS1+B5GHUcGjwnSZ0QQgjDE7uIiAjeeeedPOtQmpqaEhQUREREhMEBrF69mqCgIKZPn86pU6do2LAh/v7+xMXFPfS4K1euMGHCBNq1a5fvtc8//5xFixaxbNkyjh07hq2tLf7+/mRmZhocnxDGdv1OOi8sP8on2y6QrdXRpbYbu97pyPAeLXj99ddxcnLKf1BWCmx9B1b2hDuXoZwHvLAKnv0WbF0e/0UIIYR4Ihmc2DVp0kT/bN0/hYWF0bCh4dXs582bx/DhwwkMDKRu3bosW7YMGxsbvv/++wceo9Vqeemll5g5cyZVq1bN85qiKCxYsICpU6fSt29ffH19+fHHH7l16xYbNmwwOD4hjEVRFH47cZ0eC//geNQdzDU6PgyozbdDmuFWzorWrVvj4VHA83GXdsPSVvDnt2q7yRB46yjU6vF4L0AIIcQTr1CTJ06fPq3/95gxYxg7diwRERG0atUKgKNHj7J06VI+/fRTg06enZ3NyZMnmTJlin6biYkJXbt25ciRIw887sMPP8TNzY3XXnuNP/74I89rUVFRxMTE0LVrV/02BwcHWrZsyZEjRxg8eLBBMQphDAmpWUxZf4ad59Viw5UsMmmluYRbijkaTbWCD0q/Azveg9Bf1bajF/RZDFVlZroQQoiCFSqxa9SoERqNhn/Os5g0aVK+/V588UUGDRpU6JPHx8ej1Wpxd3fPs93d3Z0LFy4UeMzBgwf57rvvCAkJKfD1mJgYfR//7vP+a/+WlZVFVlaWvv1fq2sIYYjd52OZvP408anZmJuqxYZ7VbXkdKgFnTp1Kvig8xth6wRIiwM00GokdJ4KFgUUJhZCCCHuKVRiFxUVVdxxFEpKSgqvvPIKy5cvx8XFeM8VzZ49m5kzZxqtPyFALTY8a/N5Vp9Qiw17O5qz9NWW1KvoAIBXFc/8B6XEwrYJELZJbbvUgr5LwLPF4wpbCCHEU6xQiZ2Xl1exnNzFxQVTU1NiY2PzbI+NjS1wHczIyEiuXLlCQECAfptOpwPAzMyM8PBw/XGxsbF5nleKjY2lUaNGBcYxZcoUgoKC9O3k5GQ8PQv4oytEIf155Q5Ba0K4ficDDVDPLIY2JnepVv4B5YAUBUJXwfbJkJkIGlNoOx46TAIzy8cZuhBCiKdYkQoUA5w/f55r166RnZ2dZ3ufPn0K3YeFhQVNmzYlODhYX7JEp9MRHBzM6NGj8+1fu3Ztzpw5k2fb1KlTSUlJYeHChXh6emJubk6FChUIDg7WJ3LJyckcO3aMkSNHFhiHpaUllpbyx1M8uqxcLfN2XeSbA5dR7hUbnvNcAy4d2kbTpt2xsrLKf1DiddgyDiJ2q+0KvtB3KXj4PtbYhRBCPP0MTuwuX75M//79OXPmTJ7n7jT3amhptVqD+gsKCmLIkCE0a9aMFi1asGDBAtLS0ggMDATg1VdfpVKlSsyePRsrKyvq16+f53hHR0eAPNvHjRvHRx99RI0aNfDx8eGDDz6gYsWK+erdCWFMYdHJjF8dwoWYFACeb1qZaQF1KWdlTutqr+r/j+jpdHDye9g1HbJTwdQSOk4Gv7fB9CEFioUQQogHMDixGzt2LD4+PgQHB+Pj48Px48dJSEjgnXfeYe7cuQYHMGjQIG7fvs20adOIiYmhUaNGbN++XT/54dq1a5iYGFaVZdKkSaSlpfHGG2+QmJhI27Zt2b59e8GjJUI8Iq1OYfkfl5m38yLZWh3Wmlxam1/h5ZqVKXdvBYl8SV1CJGx6G64eUtueLaHPEnCt+ZijF0IIUZoYvKSYi4sLe/bs4f/bu/f4nuv//+O3987MNjLDGMsc5rxYGIlYTaSUvpbkUCqfGD4mpYOQRIoUUp8+QvLLIYciHylZRU7JEMthTskh5DA7b+/n748373rblMn2nvfu18vl/cfz9X6+nu/H+/Wc3o+er9fr8WrUqBEBAQFs2rSJOnXq8PXXXzN06FC2bt1aWLEWGT1STK7WL7+nMXTBNjYd/B2A6LoV6VIlld8OJ9OlS5e8z0/OzYEN02yPBMvJAE9fiB4Jtz4Obu75fIKIiJR0BclLCrxil5ubi5+fH2BL8o4ePUqdOnWoXr06u3fvvraIRW4wtmLDRxi9bCepWbmU9nJnVOf6/F9k1YuXJ7TOu9J8Yid8OgCOXvyfnxptofPbUK5wbk4SEZGSp8CJXYMGDdi2bRs333wzzZs3Z8KECXh5efGf//wnz1MgRFzRqQuZDF+0g6+SbHdzV3RLoUf1XP4vsioWiyXvadecLPhuou1lzQbvAIgZC7c8oue7iojIdVXgxO7FF18kNTUVsD0B4p577qF169aUL1+e+fPnX/cARYqTVTuP89ziHZxOzcLL3Y1+raqQkfg59UObYYzJm9T9ugU+jYPfdtnadTpBp4ngn8+jw0RERP6hAl9jl5/ff/+dcuXK5f1Ru0HpGju5XEpGNi8v28XCLUcACK/kx5uxEdSt7E9aWhqlS5d23CErDRJehfXTwFihdCB0nAD1H9AqnYiIFEihXmP3Z7/8Yquor2K+4so27j/N0IXbOHImHTA09jrJew83p1KQ7R9XnqTu4FrbHa+/77e1G3aDDuPBt3zRBi4iIiVOweqIADk5OYwYMYKAgABCQ0MJDQ0lICCAF198kezs7MKIUcQpMnNyeXVFEg+9v4EjZ9KpWq4Uj1U/R5uyZ8jOTM+7Q8Z5WB4PszrZkjq/YOg+H7q+r6RORESKRIFX7AYOHMjixYuZMGECUVFRAKxfv55Ro0Zx+vRppk+fft2DFClqu46eJ37BH8WGYyNDGNG5HiYrHQ8PD0qVKuW4w94vYdm/4bztVC1N+8CdL4NPQJHGLSIiJVuBr7ELCAhg3rx53H333Q7bV6xYQffu3Tl37tx1DdAZdI1dyZVrNfzn2/1M+nI32bkGH0s2/SPLMqhr2/x3SPsdVj4H2+fZ2uVCbSVMarQpqpBFRMTFFeo1dt7e3oSGhubZfvPNN+Pl5VXQ4USKjcOn0xi6MJHNB88A0KyKNzVOJ1Ipt1b+d7zuXAornobUk4AFWvSHdi+Al2+Rxy4iIgLXkNjFxcUxZswYZs6cibe3NwCZmZmMHTuWuLi46x6gSGEzxrDgh194edkuUrNyKePtwcjO9ejapArJydWpWbOmY1KXcgJWDIWkZbZ2YB24bxqE3OqcLyAiInLRVSV2DzzwgEP7q6++omrVqjRu3BiAbdu2kZWVRfv27a9/hCKF6GRKJs8t3s5XSb8BEOKTyUdxt1M90PZ0lVq1av3R2RjY9rHt1GvGWXDzgNuGwO3DwMPbCdGLiIg4uqrELiDA8QLwrl27OrRV7kRuRCt/Os7zS3bwe2oWnu4WIr2OUdftGJa0SMDPsfPZX2DZYEhebWtXbmxbpavUsMjjFhERuZKrSuxmzpxZ2HGIFJmUjGxGL9vFJxeLDdet7M+bsY3xTD2Jv78/FSpU+KOz1Qo/zICvRkHWBXD3hjueg6iB4P6PykCKiIhcd9f8y3Ty5El2794NQJ06dRx/DEWKqQ37TzN0wTZ+PZuOBcMjTSvx4v234O3hDlx2p9GpfbZCw4e/t7VDWsB9UyGwVp5xRUREioMCJ3apqakMHDiQDz/8EKvVCoC7uzu9evViypQpeavwixQDGdm5TFy1m/+uPYAxUN7bSnOzhwbWVLw9Ih075+bA+qmQMA5yMsDTF6JHwa2Pg1uBa3qLiIgUmQIndvHx8XzzzTcsW7aMVq1aAbB27VoGDRrE0KFDVaBYip2dR88RP38bu0/Yig13bxZC/B2h7NjqS+vWrR07H/8JPouDo1tt7Rp3QOe3oFz1Io5aRESk4ApcoDgwMJBPPvmEtm3bOmxfs2YN3bp14+TJk9czPqdQgWLXkGs1vPtNMpO/2kN2rsHfC97sHkn7uhXzds7Jgu/egO8mgjXH9sSImFchogdcXr9ORESkCBVqgeK0tDQqVsz7wxgUFERaWlpBhxMpFIdOpxK/YBtbDtmKDVdzO0Mrt0M0rtA8b+cjW+DTAXAyydYOvwc6TQS/SkUYsYiIyD9X4MQuKiqKkSNH8uGHH+Lj4wNAeno6o0ePtj87VsRZjDHM2/wLY5bvIu1iseFR99bH//QuqlWLJDAw8I/OWWmwZixseAeMFUoHQsfXof79WqUTEZEbUoETu8mTJ9OhQ4c8BYp9fHz44osvrnuAIlfrt5QMnlu0g9U/24oNNw8tx8TYCKqWKw1Udex8cC18GgdnDtjajWIhZhz4li/aoEVERK6jAid2DRs2ZO/evcydO5eff/4ZgO7du9OjRw9KlSp13QMUuRorfzrGc4t3cCYtG3cMTTyO0Kua5WJS9ycZ5+GrkfDDB7a2XzB0ngy1Y4o8ZhERkeutQIlddnY24eHhLF++nCeeeKKwYhK5auczshn12U4W//grAPUq+/P0bYH8uusMt128a9tuzypY/m84b+tL00fhztG2GyVERERcQIESO09PTzIyMgorFpECWZ98mqELEzl6NgM3CzzVNozB7Wvj5eGGaRKO5dJ1cmm/w8rhsH2+rV3uZrj3bbj5ducFLyIiUggKXG11wIABvPbaa+Tk5BRGPCJ/KyM7lzHLd9H9/Q0cPZuBnyWDrmUPEXd7dbw8bH/SFosFjIGdS2BaM1tSZ3GDqDh46nsldSIi4pIKfI3d5s2bWb16NatWraJhw4b4+vo6vL948eLrFpzI5X769RxD5iey97cLAMRGViX4xHpuadgAb2/vPzqmHIfPh8LPy23tCuFw3zSoGpnPqCIiIq6hwIld2bJl6dq1a2HEInJFObnWi8WG95JjNQSW8WbCgw1pF16R3NwGuLu72zoaA4n/D754DjLOgZsH3BYPtz8NHt5//SEiIiI3uAIndjNnziyMOESu6OCpVOIXJPLj4bMAVHf7nfEdI4gKtxXKtid1Zw/Dsn9D8mpbu3IE3DcVKjUs8phFRESc4aoTO6vVyuuvv85nn31GVlYW7du3Z+TIkSpxIoXGGMP/23SYV5YnkZ6di5+3B91qWvA7/TtVAv90J6vVCj/MgC9HQnYquHvDHc/brqdzL/D/u4iIiNywrvpXb+zYsYwaNYro6GhKlSrFW2+9xW+//cYHH3xQmPFJCfXb+QyeXbSdNbttzx6OqlGeN7o1ppKfFzk5bf64nu7UPvgsDg6vt7WrRcG9UyGwppMiFxERcR6LMcZcTcdatWrx9NNP069fPwC++uorOnXqRHp6Om5uBb65tlgryMN25fpbseMYLyy5VGzYSofgLN4ecD/u7n/6O8vNgfVTYM04yM0ET19bTbrIvuBif48iIlKyFSQvueoVu8OHD9OxY0d7Ozo6GovFwtGjR6latepf7Clydc6l24oNL9lqKyBcu0IpGlzYQsvgmzHGir06z/Gf4NMBcCzR1g5rB53fgrLVnBK3iIhIcXHViV1OTg4+Pj4O2zw9PcnOzr7uQUnJ8/2+Uzy9cBtHz9mKDfdvW5NB7Wtx/mwjAgMDbZ1yMuHbN2DtJLDm2J4YETMOIh6GS8WIRURESrCrTuyMMfTp08ehVlhGRgb/+te/HGrZqY6dFERGdi4TVu7mg3UHAPB3y2Rqj1u5vX4IwB9J3ZEfbKt0J23PJyb8Hug0EfwqOSNsERGRYumqE7vevXvn2fbII49c12CkZPnp13P8e34i+y4WG27in0pjs59Kng3+6JSVBmvGwoZ3wFjBtwJ0fB3qddEqnYiIyGWuOrFT/Tq5XnJyrUxPSOat1bZiwxX8vJnQtRGNg2x/jjfddJOt44Hv4LOBcMa2mkejWOgwHkrf5KTIRUREijcV+ZIideBiseGtF4sNt6jizTuP3c5Nvl5/dMo4D1++BFsu/s+EfxW4ZzLUvqvI4xUREbmRKLGTImGM4aONh3n1c1ux4dIeFiItybQp7Uu50p5/dNyzCpb/G87b7owl8jGIHg0+KjsjIiLyd5TYSaE7cT6DZz7Zzjd7bMWGW4aV5/UHG3F8f0UiIiKwWCyQehpWDocdC2w7lbsZ7p0CN7d2YuQiIiI3FiV2Uqg+324rNnw2PRsPi+G5jvV4tNXNuLlZqNK0KRgDPy2GFcMg7RRY3KBFf7jjBfAq7ezwRUREbihK7KRQnEvPZuSnP7E08SgAgW5ptPbcT9vguri5XbybNeU4fD4Ufl5ua1eoC/dNg6pNnRS1iIjIjU2JnVx36y4WGz52sdjwgDtq0q5iFv5lmhAWFmZbpUucC188DxnnwM0DWg+1vTy8//4DREREJF9K7OS6ycjOZfz/fmbW9wcBCCnrzVsPN6VJtXJ/dDpzCJYNhv1rbO3KEbZVukoN8ownIiIiBaPETq6L7UfOMmR+IsknUwEId/+NbsGefyR1Vits/i98NQqyU8HDB+54HloMAHf9GYqIiFwP+kWVfyQn18q0NclM+dpWbDjIz5uX76lN+v4t3HnnnbZOp/bCp3HwywZbu1pL2x2vgTWdF7iIiIgLUmIn12z/yQsMmZ/ItiPnAOjUsDKvdGlAOV8vaFwNcnPgu0mQMB5yM8GrDESPgsi+4Obm3OBFRERckBI7KTBjDHM2HOLVFUlkZFvxIocor194KTrSltQBHN8Bnw6AY9ts7bD20HkylK3mtLhFRERcXbFYNpk2bRqhoaH4+PjQvHlzNm3adMW+ixcvJjIykrJly+Lr60tERARz5sxx6NOnTx8sFovDq0OHDoX9NUqE4+cy6PXBJl76dCcZ2VZuqxnI87cYnuoYSVBQEORkwtevwH/a2pI6n7LQZTo8skhJnYiISCFz+ord/PnziY+P591336V58+ZMnjyZmJgYdu/ebUsULnPTTTfxwgsvEB4ejpeXF8uXL+fRRx8lKCiImJgYe78OHTowc+ZMe9vbW2U0/qll247ywpIdnM/IwdvDjefuDqdXVOgfdel+2QyfxcHJn23tup2h40Twq+i8oEVEREoQizHGODOA5s2bc+uttzJ16lQArFYrISEhDBw4kOHDh1/VGE2aNKFTp06MGTMGsK3YnT17lqVLl15TTOfPnycgIIBz587h769nlJ5Ly2bEpz/x2TZbseHyllQGNQug9/0XE+msVPh6LGx4BzDgWwE6vgH1uzgtZhEREVdRkLzEqadis7Ky2LJlC9HR0fZtbm5uREdHs379+r/d3xjD6tWr2b17N7fffrvDewkJCQQFBVGnTh2eeuopTp8+fcVxMjMzOX/+vMNLbL7be5KYyd/y2bajuLtZeCTiJnpXOUl0s4t15w58C9NbwoZpgIHG3WHAJiV1IiIiTuDUU7GnTp0iNzeXihUdT9VVrFiRn3/++Yr7nTt3jipVqpCZmYm7uzvvvPPOH6U1sJ2GfeCBB7j55ptJTk7m+eef5+6772b9+vW4u7vnGW/cuHGMHj36+n0xF5Celcv4/yUxe/0hAGoE+jIpNoKIkLLk5jbDPfuCrdDwllm2HfyrQOe3oNadVx5URERECpXTr7G7Fn5+fiQmJnLhwgVWr15NfHw8NWrUoG3btgA89NBD9r4NGzakUaNGhIWFkZCQQPv27fOM99xzzxEfH29vnz9/npCQkEL/HsXVtl/OMmRBIvsvFhtuXPocH/6rHQFlSgHgvu9LWD4EUmynZol8DKJHg49OW4uIiDiTUxO7wMBA3N3dOXHihMP2EydOUKlSpSvu5+bmRs2atuK2ERERJCUlMW7cOHtid7kaNWoQGBjIvn378k3svL29dXMFkJ1rZerX+5i6Zh+5F4sNt/LYT9vwivh4ukHqaVj5LOxYaNvhphq2QsOhtzk3cBEREQGcnNh5eXnRtGlTVq9eTZcuXQDbzROrV68mLi7uqsexWq1kZmZe8f0jR45w+vRpKleu/E9DdlnJF4sNb79YbLhz42DG3Fcfb0srSvn4wM7FsOIZSDsFFjeIGgBtnwev0k6OXERERC5x+qnY+Ph4evfuTWRkJM2aNWPy5Mmkpqby6KOPAtCrVy+qVKnCuHHjANv1cJGRkYSFhZGZmcmKFSuYM2cO06dPB+DChQuMHj2arl27UqlSJZKTk3nmmWeoWbOmQzkUsbFabcWGx/3vj2LDT98RwpMxt9g6nD8GS4fC7s9t7aB6cO9UqNrUeUGLiIhIvpye2MXGxnLy5Eleeukljh8/TkREBCtXrrTfUHH48GHc/vT4qdTUVPr378+RI0coVaoU4eHhfPTRR8TGxgLg7u7O9u3bmT17NmfPniU4OJi77rqLMWPG6HTrZY6fy2DYJ9v4bu8pAOqWg6a5e7ktpBYYA1vnwBcvQuY5cPOE1kNtLw8vJ0cuIiIi+XF6HbviqCTUsfs08VdeXLqDlIxcfDzdeO7uujzUNJiMjHQCrGdsd7zuT7B1Dm4C902FivWdGrOIiEhJVJC8xOkrdlK0zqZl8eLSn1i+/RgA1XytzPxXG8IqlAGrFe+tH8PqlyE7FTx84I4XoEV/cNefioiISHGnX+sS5Js9J3nmk22cOJ+JuwUaeRylQyULIQFecHKP7XFgv2y0da7eynbHa/kw5wYtIiIiV02JXQmQnpXLuP8l8eGlYsMVfHmzWwQBuWepVqUybhumQMJrkJsJXmXgztHQ9DFwc+qDSURERKSAlNi5uMRfzjJk3lYOnE4D4OFbqzCic0NKebnDscMwoycc327rXDMa7pkMZUtucWYREZEbmRI7F5Wda2XK1/uYdrHYsJ97DlHu+3moVgilLNmw+lVYNxmsOeBTFjqMh8YPgcXi7NBFRETkGimxc0H7frvAkPlb2fHreQDubRzMwJZBeBFBdbcT8F5rOLXH1rnefdDxDSgT5MSIRURE5HpQYudCrFbD7PUHGbciiaxcQxkvN8Z1bUznxsGQlQqrx8DGdwEDvkHQaSLUu9fZYYuIiMh1osTORRw7l86whdtZu89WbDjY7Rz3lj9Pp4Yxtnp0nw2Cs7abJ2j8MMSMhdI3OS9gERERue6U2N3gjDF8tu0oI5b+xPmMnIvFhsMJyThAVJP2uC0fDD9+aOscEGK7OaJWtFNjFhERkcKhxO4GdibVVmz48x22YsONqwYwKTbCVmx4988wow2k2N7j1schehR4+zkvYBERESlUSuxuUAm7f+OZT7bzW0omFgwRHkd5pV0NwkpnwCeD4adPbB1vCrMVGg5t5dyARUREpNApsbvBpGXl8OqKJD7acBiAsAq+PNHQm5rlKlIvdydMewbSToPFDVoOhLbPgWcpJ0ctIiIiRUGJ3Q3kx8NnGDJvK4d+TwegT8tQht8djk/6Cfh8KOxeYesYVB/umwpVmjgxWhERESlqSuxuANm5Vt5evZdpa/ZhNVDaksX/hWQwqnM9240Rq0ZA5jlw84Tbh8FtQ8DDy9lhi4iISBFTYlfM7T2RwpAFifx0sdjw3fUCaZT9Mw/eXh8+vA8OfGPrWKUp3DsVKtZzYrQiIiLiTErsiimr1TDz+4OM/18S2bmGgFKejL2/Afc0qAibfoQFnSE7DTx8oN2L0KI/uLk7O2wRERFxIiV2xdCvZ9MZtnAb3yefBqCq+3ne69ma+n4p8EFvOLLJ1rH6bXDv21A+zInRioiISHGhxK4YMcawNPFXXvp0JykZOZTydOeuoAvEhJamzqGPYO1EyM0CLz+462Vo0gfc3JwdtoiIiBQTSuyKiTOpWTy/ZDv/++kEABEhZXkzNoLqmXtxWxYHx3fYOta6C+55EwKqOjFaERERKY6U2BUDay4WGz6ZkokFK/fX8mbCI7fg8d3rsO4tMLlQqhx0eA0adQOLxdkhi4iISDGkxM6JUjNzGLsiif+30VZsuKq/B1GWPQyoHYTH+23g1B5bx3pdoOPrUCbIecGKiIhIsafEzkm2HDrD4I+3cORsJgCPtbqZZ9pVwePrVXisHgEYKFMROk2Eup2dG6yIiIjcEJTYOcFPv57j/979HqsBP/cc3unVgtYeu+D9WDhrW70jogfEjLWdghURERG5CkrsnKB+sD9tawfy68FkulU9R4sdL8FP82xvBoRA58lQM9qpMYqIiMiNR4mdE1gsFqb3jCRr6wHKfDMZy6/HbW80exLavwTefs4NUERERG5ISuycIfUU3iuG4b1zsa1dvqbtcWDVo5wbl4iIiNzQlNg5Q04G7P0SLO7QciC0HQ6epZwdlYiIiNzglNg5Q0BV6DINylaD4FucHY2IiIi4CCV2zlLvPmdHICIiIi5GDxoVERERcRFK7ERERERchBI7ERERERehxE5ERETERSixExEREXERSuxEREREXIQSOxEREREXocRORERExEUosRMRERFxEUrsRERERFyEEjsRERERF6HETkRERMRFKLETERERcRFK7ERERERchIezAyiOjDEAnD9/3smRiIiISEl3KR+5lJ/8FSV2+UhJSQEgJCTEyZGIiIiI2KSkpBAQEPCXfSzmatK/EsZqtXL06FH8/PywWCyF8hnnz58nJCSEX375BX9//0L5DLl6mo/iRfNRvGg+ihfNR/FSFPNhjCElJYXg4GDc3P76Kjqt2OXDzc2NqlWrFsln+fv76x9mMaL5KF40H8WL5qN40XwUL4U9H3+3UneJbp4QERERcRFK7ERERERchBI7J/H29mbkyJF4e3s7OxRB81HcaD6KF81H8aL5KF6K23zo5gkRERERF6EVOxEREREXocRORERExEUosRMRERFxEUrsCtG0adMIDQ3Fx8eH5s2bs2nTpr/sv3DhQsLDw/Hx8aFhw4asWLGiiCItGQoyH++//z6tW7emXLlylCtXjujo6L+dPymYgv77uGTevHlYLBa6dOlSuAGWMAWdj7NnzzJgwAAqV66Mt7c3tWvX1n+zrqOCzsfkyZOpU6cOpUqVIiQkhCFDhpCRkVFE0bq2b7/9ls6dOxMcHIzFYmHp0qV/u09CQgJNmjTB29ubmjVrMmvWrEKP085IoZg3b57x8vIyH3zwgdm5c6d54oknTNmyZc2JEyfy7b9u3Trj7u5uJkyYYHbt2mVefPFF4+npaXbs2FHEkbumgs7Hww8/bKZNm2a2bt1qkpKSTJ8+fUxAQIA5cuRIEUfumgo6H5ccOHDAVKlSxbRu3drcd999RRNsCVDQ+cjMzDSRkZGmY8eOZu3atebAgQMmISHBJCYmFnHkrqmg8zF37lzj7e1t5s6daw4cOGC++OILU7lyZTNkyJAijtw1rVixwrzwwgtm8eLFBjBLliz5y/779+83pUuXNvHx8WbXrl1mypQpxt3d3axcubJI4lViV0iaNWtmBgwYYG/n5uaa4OBgM27cuHz7d+vWzXTq1MlhW/PmzU2/fv0KNc6SoqDzcbmcnBzj5+dnZs+eXVghlijXMh85OTmmZcuW5r///a/p3bu3ErvrqKDzMX36dFOjRg2TlZVVVCGWKAWdjwEDBph27do5bIuPjzetWrUq1DhLoqtJ7J555hlTv359h22xsbEmJiamECP7g07FFoKsrCy2bNlCdHS0fZubmxvR0dGsX78+333Wr1/v0B8gJibmiv3l6l3LfFwuLS2N7OxsbrrppsIKs8S41vl4+eWXCQoKom/fvkURZolxLfPx2WefERUVxYABA6hYsSINGjTg1VdfJTc3t6jCdlnXMh8tW7Zky5Yt9tO1+/fvZ8WKFXTs2LFIYhZHzv4917NiC8GpU6fIzc2lYsWKDtsrVqzIzz//nO8+x48fz7f/8ePHCy3OkuJa5uNyzz77LMHBwXn+sUrBXct8rF27lhkzZpCYmFgEEZYs1zIf+/fv5+uvv6ZHjx6sWLGCffv20b9/f7Kzsxk5cmRRhO2yrmU+Hn74YU6dOsVtt92GMYacnBz+9a9/8fzzzxdFyHKZK/2enz9/nvT0dEqVKlWon68VO5G/MX78eObNm8eSJUvw8fFxdjglTkpKCj179uT9998nMDDQ2eEIYLVaCQoK4j//+Q9NmzYlNjaWF154gXfffdfZoZVICQkJvPrqq7zzzjv8+OOPLF68mM8//5wxY8Y4OzRxAq3YFYLAwEDc3d05ceKEw/YTJ05QqVKlfPepVKlSgfrL1buW+bjkjTfeYPz48Xz11Vc0atSoMMMsMQo6H8nJyRw8eJDOnTvbt1mtVgA8PDzYvXs3YWFhhRu0C7uWfx+VK1fG09MTd3d3+7a6dety/PhxsrKy8PLyKtSYXdm1zMeIESPo2bMnjz/+OAANGzYkNTWVJ598khdeeAE3N63hFKUr/Z77+/sX+modaMWuUHh5edG0aVNWr15t32a1Wlm9ejVRUVH57hMVFeXQH+DLL7+8Yn+5etcyHwATJkxgzJgxrFy5ksjIyKIItUQo6HyEh4ezY8cOEhMT7a97772XO+64g8TEREJCQooyfJdzLf8+WrVqxb59++wJNsCePXuoXLmykrp/6FrmIy0tLU/ydinpNnpqaJFz+u95kdyiUQLNmzfPeHt7m1mzZpldu3aZJ5980pQtW9YcP37cGGNMz549zfDhw+39161bZzw8PMwbb7xhkpKSzMiRI1Xu5Doq6HyMHz/eeHl5mU8++cQcO3bM/kpJSXHWV3ApBZ2Py+mu2OuroPNx+PBh4+fnZ+Li4szu3bvN8uXLTVBQkHnllVec9RVcSkHnY+TIkcbPz898/PHHZv/+/WbVqlUmLCzMdOvWzVlfwaWkpKSYrVu3mq1btxrATJo0yWzdutUcOnTIGGPM8OHDTc+ePe39L5U7GTZsmElKSjLTpk1TuRNXMWXKFFOtWjXj5eVlmjVrZjZs2GB/r02bNqZ3794O/RcsWGBq165tvLy8TP369c3nn39exBG7toLMR/Xq1Q2Q5zVy5MiiD9xFFfTfx58psbv+Cjof33//vWnevLnx9vY2NWrUMGPHjjU5OTlFHLXrKsh8ZGdnm1GjRpmwsDDj4+NjQkJCTP/+/c2ZM2eKPnAXtGbNmnx/Dy7NQe/evU2bNm3y7BMREWG8vLxMjRo1zMyZM4ssXosxWqcVERERcQW6xk5ERETERSixExEREXERSuxEREREXIQSOxEREREXocRORERExEUosRMRERFxEUrsRERERFyEEjsRERERF6HETkSuO4vFwtKlS53y2aGhoUyePPkfjTFr1izKli37l31GjRpFRESEvd2nTx+6dOlib7dt25Z///vf/yiOa7Vu3ToaNmyIp6enQ0yFLSEhAYvFwtmzZ6/Y5/Jje/lx/DtXMzciJZkSO5Eb2Pr163F3d6dTp04F3vd6JEAl2dNPP53nQd9/tnjxYsaMGWNvF+Xxjo+PJyIiggMHDjBr1qwi+UyAli1bcuzYMQICAq56n787jpeLjY1lz5491xKeSImgxE7kBjZjxgwGDhzIt99+y9GjR50dTqHKyspydggOypQpQ/ny5a/4/k033YSfn18RRvSH5ORk2rVrR9WqVa96det6HF8vLy8qVaqExWK56n3+7jherlSpUgQFBV1LeCIlghI7kRvUhQsXmD9/Pk899RSdOnXKd2Vm2bJl3Hrrrfj4+BAYGMj9998P2E4THjp0iCFDhmCxWOw/xPmdFps8eTKhoaH29ubNm7nzzjsJDAwkICCANm3a8OOPPxYo9rZt2xIXF0dcXBwBAQEEBgYyYsQI/vzo6tDQUMaMGUOvXr3w9/fnySefBGDRokXUr18fb29vQkNDmThxYp7xU1JS6N69O76+vlSpUoVp06Y5vD9p0iQaNmyIr68vISEh9O/fnwsXLuQZZ+nSpdSqVQsfHx9iYmL45Zdf7O/93SnEP5+Kze94p6am4u/vzyeffJLnM319fUlJScl33MzMTAYNGkRQUBA+Pj7cdtttbN68GYCDBw9isVg4ffo0jz32GBaL5Yordlc6vmvXrqV169aUKlWKkJAQBg0aRGpqqsPnP/vss4SEhODt7U3NmjWZMWMGkP+p2FmzZlGtWjVKly7N/fffz+nTpx3i+PNxXLVqFT4+PnlO5Q4ePJh27drZx/tzsrpt2zbuuOMO/Pz88Pf3p2nTpvzwww8OfZcvX06dOnUoXbo0Dz74IGlpacyePZvQ0FDKlSvHoEGDyM3Nzfc4idxolNiJ3KAWLFhAeHg4derU4ZFHHuGDDz5wSIw+//xz7r//fjp27MjWrVtZvXo1zZo1A2ynCatWrcrLL7/MsWPHOHbs2FV/bkpKCr1792bt2rVs2LCBWrVq0bFjxysmIlcye/ZsPDw82LRpE2+99RaTJk3iv//9r0OfN954g8aNG7N161ZGjBjBli1b6NatGw899BA7duxg1KhRjBgxIk/y8vrrr9v3Gz58OIMHD+bLL7+0v+/m5sbbb7/Nzp07mT17Nl9//TXPPPOMwxhpaWmMHTuWDz/8kHXr1nH27FkeeuihAn3HS/I73r6+vjz00EPMnDnToe/MmTN58MEHr7ja98wzz7Bo0SJmz57Njz/+SM2aNYmJieH3338nJCSEY8eO4e/vz+TJkzl27BixsbFXjOvy45ucnEyHDh3o2rUr27dvZ/78+axdu5a4uDj7Pr169eLjjz/m7bffJikpiffee48yZcrkO/7GjRvp27cvcXFxJCYmcscdd/DKK69cMZ727dtTtmxZFi1aZN+Wm5vL/Pnz6dGjR7779OjRg6pVq7J582a2bNnC8OHD8fT0tL+flpbG22+/zbx581i5ciUJCQncf//9rFixghUrVjBnzhzee++9PAm2yA3LiMgNqWXLlmby5MnGGGOys7NNYGCgWbNmjf39qKgo06NHjyvuX716dfPmm286bBs5cqRp3Lixw7Y333zTVK9e/Yrj5ObmGj8/P7Ns2TL7NsAsWbLkivu0adPG1K1b11itVvu2Z5991tStW9chvi5dujjs9/DDD5s777zTYduwYcNMvXr1HPbr0KGDQ5/Y2Fhz9913XzGehQsXmvLly9vbM2fONIDZsGGDfVtSUpIBzMaNG40xeY9V7969zX333efwHQcPHuwQ1+XHe+PGjcbd3d0cPXrUGGPMiRMnjIeHh0lISMg3zgsXLhhPT08zd+5c+7asrCwTHBxsJkyYYN8WEBBgZs6cecXveymey49v3759zZNPPumw7bvvvjNubm4mPT3d7N692wDmyy+/zHfMNWvWGMCcOXPGGGNM9+7dTceOHR36xMbGmoCAAHv78uM4ePBg065dO3v7iy++MN7e3vYxZ86c6bC/n5+fmTVrVr7xXJrHffv22bf169fPlC5d2qSkpNi3xcTEmH79+uU7hsiNRit2Ijeg3bt3s2nTJrp37w6Ah4cHsbGx9lNiAImJibRv3/66f/aJEyd44oknqFWrFgEBAfj7+3PhwgUOHz5coHFatGjhcC1WVFQUe/fudTglFhkZ6bBPUlISrVq1ctjWqlWrPPtFRUU59ImKiiIpKcne/uqrr2jfvj1VqlTBz8+Pnj17cvr0adLS0ux9PDw8uPXWW+3t8PBwypYt6zDOP9WsWTPq16/P7NmzAfjoo4+oXr06t99+e779k5OTyc7OdjgGnp6eNGvW7Jriuvz4btu2jVmzZlGmTBn7KyYmBqvVyoEDB0hMTMTd3Z02bdpc1fhJSUk0b97cYdvlc3O5Hj16kJCQYL9mdO7cuXTq1OmK1wrGx8fz+OOPEx0dzfjx40lOTnZ4v3Tp0oSFhdnbFStWJDQ01GGVsWLFivz2229X9Z1EijsldiI3oBkzZpCTk0NwcDAeHh54eHgwffp0Fi1axLlz5wDbReYF5ebm5nA6FyA7O9uh3bt3bxITE3nrrbf4/vvvSUxMpHz58oVyc4Ovr+91H/PgwYPcc889NGrUiEWLFrFlyxb7NXjOuEHj8ccft59KnjlzJo8++miBbj74Jy4/vhcuXKBfv34kJibaX9u2bWPv3r2EhYVd099UQd16662EhYUxb9480tPTWbJkyRVPw4LtGr2dO3fSqVMnvv76a+rVq8eSJUvs7//5tCzYSvHkt81qtV7fLyLiJErsRG4wOTk5fPjhh0ycODHPD3BwcDAff/wxAI0aNfrLMhJeXl55LhivUKECx48fd0juEhMTHfqsW7eOQYMG0bFjR/tNDKdOnSrw99i4caND+9L1eu7u7lfcp27duqxbty5PPLVr13bYb8OGDXnGrlu3LgBbtmzBarUyceJEWrRoQe3atfO9ozgnJ8d+ET7YVknPnj1rH6eg8jveAI888giHDh3i7bffZteuXfTu3fuKY4SFheHl5eVwDLKzs9m8eTP16tW7prj+rEmTJuzatYuaNWvmeXl5edGwYUOsVivffPPNVY1Xt27dfOf57/To0YO5c+eybNky3Nzc/racT+3atRkyZAirVq3igQceyHPdokhJosRO5AazfPlyzpw5Q9++fWnQoIHDq2vXrvbTsSNHjuTjjz9m5MiRJCUlsWPHDl577TX7OKGhoXz77bf8+uuv9sSsbdu2nDx5kgkTJpCcnMy0adP43//+5/D5tWrVYs6cOSQlJbFx40Z69OhxTSs5hw8fJj4+nt27d/Pxxx8zZcoUBg8e/Jf7DB06lNWrVzNmzBj27NnD7NmzmTp1Kk8//bRDv3Xr1jFhwgT27NnDtGnTWLhwoX3smjVrkp2dzZQpU9i/fz9z5szh3XffzfNZnp6eDBw4kI0bN7Jlyxb69OlDixYt7DegFFR+xxugXLlyPPDAAwwbNoy77rqLqlWrXnEMX19fnnrqKYYNG8bKlSvZtWsXTzzxBGlpafTt2/ea4vqzZ599lu+//95+s8PevXv59NNP7TdPhIaG0rt3bx577DGWLl3KgQMHSEhIYMGCBfmON2jQIFauXMkbb7zB3r17mTp1KitXrvzbOHr06MGPP/7I2LFjefDBB/H29s63X3p6OnFxcSQkJHDo0CHWrVvH5s2brzn5FnEFSuxEbjAzZswgOjo63yKwXbt25YcffmD79u20bduWhQsX8tlnnxEREUG7du3YtGmTve/LL7/MwYMHCQsLo0KFCoBtheWdd95h2rRpNG7cmE2bNuVJmmbMmMGZM2do0qQJPXv2tJfeKKhevXqRnp5Os2bNGDBgAIMHD7aX3LiSJk2asGDBAubNm0eDBg146aWXePnll+nTp49Dv6FDh/LDDz9wyy238MorrzBp0iRiYmIAaNy4MZMmTeK1116jQYMGzJ07l3HjxuX5rNKlS/Pss8/y8MMP06pVK8qUKcP8+fML/D0vye94X9K3b1+ysrJ47LHH/nac8ePH07VrV3r27EmTJk3Yt28fX3zxBeXKlbvm2C5p1KgR33zzDXv27KF169bccsstvPTSSwQHB9v7TJ8+nQcffJD+/fsTHh7OE0884VAO5c9atGjB+++/z1tvvUXjxo1ZtWoVL7744t/GUbNmTZo1a8b27dv/8jSsu7s7p0+fplevXtSuXZtu3bpx9913M3r06IJ/eREXYTGXX1AjIlLI2rZtS0REhJ58cdGcOXMYMmQIR48excvLy9nhiMgNzMPZAYiIlFRpaWkcO3aM8ePH069fPyV1IvKP6VSsiIiTTJgwgfDwcCpVqsRzzz3n7HBExAXoVKyIiIiIi9CKnYiIiIiLUGInIiIi4iKU2ImIiIi4CCV2IiIiIi5CiZ2IiIiIi1BiJyIiIuIilNiJiIiIuAgldiIiIiIuQomdiIiIiIv4/5M+43EcxN+EAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cal_all.plot(linestyle='dotted', color='gray', label='all')\n", "cal_male.plot(label='Male defendants')\n", "cal_female.plot(label='Female defendants')\n", "\n", "decorate(xlabel='Actual probability of recidivism',\n", " ylabel='Probability of high risk classification',\n", " title='The other calibration curve')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Part of a [Recidivism Case Study](https://allendowney.github.io/RecidivismCaseStudy/)\n", "\n", "by [Allen Downey](https://allendowney.com)\n", "\n", "[Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)](https://creativecommons.org/licenses/by-nc/4.0/)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }