{ "cells": [ { "cell_type": "markdown", "id": "8efd66a5-d9c0-4873-8542-7b03f66cd158", "metadata": {}, "source": [ "# Sampling distributions\n", "\n", "\n", "Click [here](https://mybinder.org/v2/gh/minireference/noBSstats/HEAD?urlpath=%2Fdoc%2Ftree%2Fblogposts%2Fsampling_distributions.ipynb)\n", "to run the notebook interactively,\n", "so you can play with the code examples.\n" ] }, { "cell_type": "markdown", "id": "c8caefd0-df8c-4757-be6e-844d6961a84d", "metadata": { "tags": [] }, "source": [ "### Notebook setup" ] }, { "cell_type": "code", "execution_count": 1, "id": "fee7a1de-830b-4e63-8a15-526bd95f30e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m25.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m25.3\u001b[0m\n", "\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "# Install stats library\n", "%pip install --quiet ministats " ] }, { "cell_type": "code", "execution_count": 2, "id": "ad1db701-1cda-4156-b360-9a5ea8cd389d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figures setup\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.clf() # needed otherwise `sns.set_theme` doesn't work\n", "sns.set_theme(\n", " style=\"whitegrid\",\n", " rc={'figure.figsize': (8, 3)},\n", ")\n", "# High-resolution figures please\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "def savefig(fig, filename):\n", " fig.tight_layout()\n", " fig.savefig(filename, dpi=300, bbox_inches=\"tight\", pad_inches=0)" ] }, { "cell_type": "markdown", "id": "27a16fef-02c1-407c-abd4-bd5da286b9a3", "metadata": {}, "source": [ "## Introduction\n", "\n", "The sampling distribution is one of the most complex ideas in STATS 101 that many readers find difficult to understand. The good news is that once you understand sampling distributions, you will understand the common factor behind all the formulas and procedures.\n" ] }, { "cell_type": "markdown", "id": "5f80ebb2-25f2-40bf-9179-23a2d27040c1", "metadata": {}, "source": [ "### Estimates and estimators\n", "\n", "In statistics, we use the term estimator to refer to the function that computes estimates from a data sample $\\mathbf{x} = [x_1, x_2, … x_n]$. For example the function $\\texttt{mean}(\\mathbf{x}) = \\frac{1}{n} \\sum_i x_i$ computes the mean of the sample (the average value). \n", "\n", "![](./images/Esimators_contexA_blogpost.png)\n", "Figure 1. The estimator `mean` computes the sample mean $\\overline{\\mathbf{x}}$.\n", "\n", "Estimators have this name because we use them to estimate the parameters of the population. In this case, the sample mean is an estimate for the population mean $\\mu$.\n", "\n", "Any given estimate we calculate from a particular sample will be an approximation to the true population mean. \n" ] }, { "cell_type": "markdown", "id": "13b34d1f-565c-4c86-8755-edebbeed213c", "metadata": {}, "source": [ "## Probability models" ] }, { "cell_type": "markdown", "id": "c9d08aba-0ef0-4130-abf7-a0f4478c55c4", "metadata": {}, "source": [ "The concept of a random variable, denoted $X$, is a key building block in probability theory. The random variable $X$ is a quantity that can take on different values, and it is described by a probability distribution function $f_X$, which we use to compute the probability of different possible outcomes of the random variable $X$.\n", "\n", "When learning about random variables, readers are usually exposed to numerous formulas and equations for describing probability distributions. These math equations can be hard to understand, especially for people who haven't done math recently. Using computer models, however, makes probability concepts much more accessible. Specifically, computers give us two additional points of view of the math equations:\n", "\n", "- **Visualizations**. Plotting the probability distribution $f_X$ for the random variable $X$ gives you a visual representation of the possible values this variable can have.\n", "- **Computer-assisted calculations**. Probability calculations can be done easily using Python as a calculator." ] }, { "cell_type": "markdown", "id": "2b794591-7c44-4ab8-8033-396e65bfb563", "metadata": {}, "source": [ "### Probability model for the general population\n", "\n", "Let's now build the specific probability model we need for the analysis of the students' IQ scores.\n", "We know the IQ scores in the general population has mean $\\mu=100$ and standard deviation $\\sigma=15$.\n", "We will denote the general population as $X \\sim \\mathcal{N}(\\mu=100,\\sigma=15)$.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "5d3b5743-5edb-4e79-b22b-e94a9807574e", "metadata": {}, "outputs": [ { "data": { "image/png": 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iJC5J34PB38dRxt3jJaejI6W6qynncZCfSP+O3rL5yO2BTHn5Ih/N2y+xMReldZNbA51QO9WU8xgoDecxbAHnMSqLuR9xRaLIUEhOTk6xRYTiFHy84PNKU3CmwJ2OX3Afa4+vqBkHTz31lCQkJGg/qxkMasmj4vpDmAsZc+bMkW7dulkeU/0YxowZI/369ZOxY8dKXFyc7N69W9auXSvDhg0To6j/foVnWwAV+ccbqMk4j2ErOJdrn4zsPPnu53iJS9L/v/fzcpDH76srjqY8yc6u+C9Dtfk87tvGXTKycmRX5K0ebeZCw8KtV2TivXWlZQBLpaL6n8eANTiPYQs4j1HdUWQopOBof/UPuLRCQFZWVpkKBoVnL1jzC8L8GmqmgTXUrAM1I+HMmTPaz4GBgfLRRx+JnZ1dkX0XLVqkzZK4efOmBAQElNgX4o033tD6NShLliwxtMigmlAzkwEVpeC/QWv/jQHVDecxbAXncu2VlZ0nC3+Jl9hE/WdjHw8HefrBAKnjXnO+stS083hoWF3JzbOTPVE3LbHcPJFF2xLkiQH+0ryBq6H5wRg17TwGisN5DFvAeYzKnMlQ0YO4a84n9ipi7oGgZGZmWl1ksGbpo+KOfyfmfaxpunzhwgWZOnWqnD9/XvtZFQ7U8ka+vr4lPsfDw0O7laZ///7aPqogcejQIe1ENOpCf1BQ0B3zBaylphuqP9rqj3WHDh2MTgcoF85j2ArO5dopKztX3vl6j5y/qv9cXLeOi/ztN32kgZ+71CQ18Txu3z5f/r3ksPy074Illp2bL/O3xss7z90jrQJL/i4B21QTz2OgMM5j2ALOY1QWdY234DL6FYEh4YV4eXlZtu/UbLng46VdyC/p+MnJyaXuq36RpKWlWXV89Ytn/PjxlgJDo0aN5Pvvv9fuK2L2gJoRYS6slKcJNQAAAFBQdk6e/O3bfXI4Ol4X9/Z0lhkv9K5xBYaayt7eTqaN7ST9Oum/N6Rn5spbX+2WMzGlf2cBAAAAKDIU0qxZM13z5NKoPgVmDRs2rPDjq54J5kYcpR1/+/bt8sQTT1h6MKjR/gsXLtQaOFcUpmUBAACgouTm5snH8w/I/shbPcLMPN0cZcZz90ijesxcrUomezt5dWIX6dmugS6emp4tb87aJRfibhiWGwAAAKo/igyFtGzZ0rIdHR1d6r7mx1W/g+DgYKuO7+PjI35+flYd/9SpU5btkJCQYvfZvHmzvPDCC5YZDx07dpR58+ZpvRRKc/HiRfn222/lk08+ka1bt94xb3OTaFVsqFOnzh33BwAAAIqTl5cvny4+JDvDY3VxNxcH+euz90hgwO2Zv6g6DiZ7ee3xbtIltL4ufiM1Sys0xF673SAaAAAAKIgiQyGdO3e2jNrfs2dPifup5hj79u3TtkNDQ3XLIN1JWFiYdh8ZGak1XS7J7t27Ldvdu3cv8vjevXvl5ZdftjSC6d27t3zzzTdaIeNOrl69Ku+9957MmjVLFi9eXOq+Z8+etcy6aN++vbZ8EgAAAFBW+fn58vl/w2XLgUu6uIuTSd6e2kuCmngblhtEHB1M8qcnwqR9y7q6eOKNTHnji11yNenWwCYAAACgIIoMhahiQc+ePS2zBGJj9SOszH788UdJTEzUtocMGVKm1xg0aJB2n5OToy1rVFIDjuXLl2vbzZs31woZBamlkVSBwdx8+v7775cvvvhC11i6NO3atbM0UFbLLZX0PpXPP//csj1ixAirjg8AAAAULjDMXnVM1v96Thd3crCXN57qIa2b02C4OnBxcpA3nuourQL1A5fik9K1QkPijQzDcgMAAED1RJGhGE8++aR2r2YITJ8+XbvgX3gZo3fffVfbdnd3lzFjxpTp+AMGDJDGjRtr2zNnzpT9+/frHleFg9dee83SYHnKlClFjvHOO+9Yihyqw/ynn34qTk5OVufg7OwsY8eOtbzP3/3ud0Xep/L111/LypUrLf0kRo0aVab3CgAAACjz1p+QVdvO6GIOJjv505PdpWNwPcPyQlFuLo7y9jO9pEUj/TKpl6+laoWG5JRMw3IDAABA9eNgdALVUZ8+fbTZBhs2bJBDhw5po/cnTJggAQEBcvz4cW32QWpqqravKgb4+upHXallliZPnmxZ5uj777/XPa6KAa+//rq8+OKLkpGRoRU1VKGiS5cuWmFhyZIlcvLkSW1fFRs9erTu+adPn5b169dbfh48eLA2G+FOvL29pVu3bpaf1etv2bJFWw7p4MGD8tBDD8m4ceO0YkJSUpKsXbvWUgBRxZSPPvpIK04AAAAAZbHkp5ParSB7ezv5f491k26tS+8lBmN4uDrKX5/tJf/3+U65EHd7ideLV27Kn2f9Ku++cI94uFk/yAkAAAC2iyJDCT744AOtkLBjxw65dOmSfPjhh7rHVbPnadOmyfjx48t1/P79+8tbb72lzYhQMwkWLFig3QpS/Q8+++yzIj0QVqxYoU03N/v73/9u1WsWLnh4enrK3Llztfdx7NgxiYuL02ZEFKaKKx9//LGWDwAAAFAWK7edlu/XRepidnYir07oIvd0aGhYXrizOh7O8s5z98ifZu6Q2Gu3BlkpZ2KT5e2vdstfn+ulzXoAAABA7UaRoQSurq4ye/ZsWb16tXZR39ykWc0G6Nq1qzZTQd3fDTU7Qs0s+Pbbb2XXrl0SHx+vNZ0OCQmR4cOHa8sZmZtQF2Se5VARVAFBNX5es2aN1mciIiJCbty4ofVrUDMaHnzwQW12g5rJAAAAAJSF6r8we+WxIvFpYzrJfV1uLR+K6s3Xy0VmPN9b/jhzu1xNSrfEoy4kyV+/3iNvP9NT6+MAAACA2otPg6VQsxUefvhh7VYWPXr0kKioKKv2DQ4OlhkzZpTp+LNmzZKK5ODgICNHjtRuAAAAQEXYvP+ifLbsSJH4syPby4M9Ag3JCeVTz8f1f4WGHbrGzxFnEuS9uXvlzad7iKODfvY1AAAAag8aPwMAAACoUDuPxMqniw5KgRU+NU881EaG921hVFq4CwF13WXG8/dIHQ99H4ZDJ+Plg+/2S05unmG5AQAAwFgUGQAAAABUmH3H4+TDefslr1CBYdzAEBndP9iotFABmvh7aj0aVFPogvZExMknCw5KbuH/6QAAAKgVKDIAAAAAqBCHT16Vv327r8jF5pH3tpRJg0INywsVp3nDOvKXZ3uJq7N+5d3th2Pk30sOSR6FBgAAgFqHIgMAAACAu3b8bILMmLtXsnP0y+YMuaeZPDW8rdbvDLYhpKmPvDW1pzg76fsw/LzvosxaHi75hdfJAgAAgE2jyAAAAADgriSnZGozGDKzcnXx/t2ayPOjOlBgsEFtW/jJG1O6i6OD/ivl2l3n5Ke9FwzLCwAAAFWPIgMAAACAclOj1v+95LBcv5mpi/fp2FB+O66z2NtTYLBVnULqy5+eCBNTof/HX608KnEJqYblBQAAgKpFkQEAAABAuW3ae0Fr/FtQ55B68rtJXYtcfIbtCWvTQKZP7KKLpWfm3moEnatfOgsAAAC2iSIDAAAAgHK5fC1VvlpxVBer4+Ekr07sIg4mvmrUFv06N5YHewTqYpHnEmXplmjDcgIAAEDV4ZM/AAAAgDJTo9Q/WXBAMgr1YXhpTCfx8XQxLC8YY+qIdhLg566LLdwQJdEXkwzLCQAAAFWDIgMAAACAMvthc7ScOK+/gKxGs/doF2BYTjCOq7ODtmxSwRWycvPy5eP5ByUjK8fI1AAAAFDJKDIAAAAAKJOTF5Jk4cYoXUyNYlej2VF7hTbzlTEDQnSxmPgUmbs6wrCcAAAAUPkoMgAAAACwWkZmjrZMUl5eviVmb28n0yd10Uazo3YbP7CVBDfx1sXW7jon+yOvGJYTAAAAKhdFBgAAAABWm7MmQmLiU3WxsQ+ESGigr2E5ofpQDb9/N6mrODuZdPF/LT4kySmZhuUFAACAykORAQAAAIBV1Gj0dbvO6WJq1Pq4gfolclC7NarnIU8Pb6uLJd3MlP/8cFjy82/PgAEAAIBtoMgAAAAA4I7UKPRPFx/SxdRodTVqXY1eBwoa3KuZdGvtr4vtPhYnP+29YFhOAAAAqBx8GwAAAABQKjX6/N9LDsv1m/rlbp5+uJ02ah0ozM7OTn47tpN4uTvp4l+tPCpxCfrltgAAAFCzUWQAAAAAUKpNey/Inog4XSysjb8M7hloWE6o/ny8XOSlsZ10sfTMXPlkwUHJzc0zLC8AAABULIoMAAAAAEp0+VqqfLXiqC5Wx8NJu3isRqsDpenZLkAe7KEvRkWeS5SlW6INywkAAAAViyIDAAAAgGKp0eafLDggGVm5uvhLYzqJj6eLYXmhZpk6op0E+LnrYgs3REn0xSTDcgIAAEDFocgAAAAAoFhLN0fLifP6C8FqVHqPdgGG5YSax9XZQaZP7CL2BSa+5Obly8fzD0pGVo6RqQEAAKACUGQAAAAAUMTJC0mycGOULqZGo6tR6UBZhTbzlTEDQnSxmPgUmbs6wrCcAAAAUDEoMgAAAADQycjM0ZZJUqPNzezt7WT6pC7aqHSgPMYPbCXBTbx1sbW7zsn+yCuG5QQAAIC7R5EBAAAAgM6cNRESE5+qi419IERCA30Nywk1n4PJXn43qas4O5l08X8tPiTJKZmG5QUAAIC7Q5EBAAAAgIUaVb5u1zldTI0+HzdQv9QNUB6N6nnI08Pb6mJJNzPlPz8clvz82zNnAAAAUHNQZAAAAACgUaPJP118SBdTo87V6HM1Ch2oCIN7NZNurf11sd3H4uSnvRcMywkAAADlxzcFAAAAANoocjWa/PpN/bI1Tz/cTht9DlQUOzs7+e3YTuLl7qSLf7XyqMQl6JfpAgAAQPVHkQEAAACANopcjSYvKKyNvwzuGWhYTrBdPl4u8tLYTrpYemaufLLgoOTm5hmWFwAAAMqOIgMAAABQy12+lipfrjiqi9XxcNIuAqtR50Bl6NkuQAZ2b6qLRZ5LlKVbog3LCQAAAGVHkQEAAACoxdSo8U8WHJCMrFxd/KUxncTH08WwvFA7PDOyvQT4uetiCzdESfTFJMNyAgAAQNlQZAAAAABqsaWbo+XEef0F3Qd7BEqPdgGG5YTaw9XZQaZP7CL2BSbM5Obly8fzD0pGVo6RqQEAAMBKFBkAAACAWkqNFl+4MUoXU6PKp45oZ1hOqH1Cm/nKmAEhulhMfIrMXR1hWE4AAACwHkUGAAAAoBZSo8TVaHE1atzM3t5Opk/qoo0uB6rS+IGtJLiJty62dtc52R95xbCcAAAAYB2KDAAAAEAtpEaJq9HiBY19IERCA30Nywm1l4PJXls2ycnRpIv/a/EhSU7JNCwvAAAA3BlFBgAAAKCWUaPD1SjxgtQo8nED9UvWAFWpcX1PefrhtrpY0s1M+c8PhyU///aMGwAAAFQvFBkAAACAWkSNCv908SFdzNnJJL+b1FUbTQ4YaUivZtKttb8utvtYnPy094JhOQEAAKB0fIsAAAAAagk1GlyNCr9+U7/8zNMPt5NG9TwMywsws7Ozk9+O7SRe7k66+Fcrj0pcQqpheQEAAKBkFBkAAACAWkKNBlejwgsKa+Mvg3sGGpYTUJiPl4u8NLaTLpaemSufLDgoubl5huUFAACA4lFkAAAAAGoBNQpcjQYvqI6Hk3YxV40eB6qTnu0CZGD3prpY5LlEWbol2rCcAAAAUDyKDAAAAICNU6O/1ShwNRq8oJfGdBIfTxfD8gJKM3VEO2ng56aLLdwQJdEXkwzLCQAAAEVRZAAAAABs3NLN0doo8IIe7BEoPdoFGJYTcCduLo7yu4ldxb7ARJvcvHz5eP5BycjKMTI1AAAAFECRAQAAALBhZ2KSZeHGKF0swM9dGyUOVHehzXxlzIAQXSwmPkW+WxtpWE4AAADQo8gAAAAA2Ki8vHz54r/h2uhvM3t7O5k+qYu4OjsYmhtgrfEDW0lwE29d7McdZ7QCGgAAAIxHkQEAAACwUVsPXiyyTNKYB4IlNNDXsJyAsnIw2cvvJnUVJ4fbX19V3UwV0PLzbxfQAAAAYAyKDAAAAIANSk3PlrlrjhdZJmnsA/qlZ4CaoFE9Dxld6NxVBbQtBy4ZlhMAAABuocgAAAAA2KAFG0/I9ZuZutizo9qLk6PJsJyAu/Ho/UHSwM9NF5u7JkLSMrINywkAAAAUGQAAAACbc+7yDVmz46wu1r1NA+nW2t+wnIC7pQpkz4xor4upQtqCDfrG5gAAAKhaFBkAAAAAG6LWqJ+1PFxr+mzm6GAvz4xsZ2heQEXo3rZosWz1jjNyPu6GYTkBAADUdhQZAAAAABuy7VCMHDudoIs9en+wNPBzNywnoCKpgplqBm2mCmqz/nuUJtAAAAAGocgAAAAA2Ai1Nv2c1RG6WH1fNxn9QLBhOQEVrWFdD60/Q0FHT1+THYdjDcsJAACgNqPIAAAAANiIxZtOSuKNDF1s6sPtxJlmz7AxqnBWz8dVF/t69TFJz8wxLCcAAIDaysHoBKozNd12zZo1smzZMomMjJS0tDSpV6+ehIWFyaRJk6RDhw53/RonT56UuXPnyp49e+Tq1avi6ekpLVu2lJEjR8qoUaPEZDLdMceff/5ZVq5cKeHh4ZKYmCiOjo7SqFEj6d27t0yePFkaNmxY6XkAAADAWBev3JSV207rYl1C60vPdg0MywmoLC5ODloB7W/f7rPEEpIzZPGmKHlyWFtDcwMAAKhtKDKUICMjQ15++WXZunWrLh4TE6PdVq9eLa+88oo8++yz5X6NH374Qf7yl79Idna2JaaKBOq2b98+Wb58ucycOVO8vb2LfX5ycrK8+uqrsnPnTl08KytLKxqo2/z58+Wdd97RigWVlQcAAACMpQaefLn8qOQWaPbsYLKTZ0e2Fzs7O0NzAypLr/YB0imknhw+GW+JqULbgO5NpXF9T0NzAwAAqE0oMpTg9ddftxQY1Ij+sWPHSt26dSUiIkIWLVqkzWr4+OOPxd/fX0aMGFHm42/fvl3efPNN7Quhq6urjB8/Xtq1aycJCQmydOlSrUCwf/9+mT59usyePVvs7fUrW+Xl5clvfvMbrQigqNkKjz76qLRo0UJSU1Nlx44dsnHjRq3g8Mc//lG8vLykf//+FZ4HAAAAjLfr6GU5HH37Qqsy6r4gaVTPw7CcgMqmCmjPjWovL320RXJybxXY1P2s5Uflr8/2osAGAABQRSgyFEPNDFDLJCk9e/aUL7/8UpydnbWfhw0bJqNHj5aJEyfK9evX5b333pMHHnhAPDys/wKnLvy//fbb2oV9Nzc3mTdvnrRte3tK74QJE7SL+ps2bdJyWbt2rfa6BanZBeYCg8rx888/145lNmbMGNm8ebO89NJLkpOTo72eWj7J/D4qKg8AAAAYKyMzR2avPKaL1a3jImMfCDEsJ6CqqBkLI/q1lGVbTlliambDr0cvyz0d7rxsLAAAAO4ew9KLMWfOHO3ewcFBZsyYobswb57ZoEb/K6rQoJYbKgs1w+DSpUva9tSpU3UX9hUnJyf54IMPLMsTzZo1q8gxFi9erN2r3D766CNdgcFMzVx47LHHtO0rV67Itm3bKjwPAAAAGOuHzdFy7Xq6Lvb0iHbi4sx4ItQO4wa2El8vF11s9qpjkpFFE2gAAICqQJGhEFU02LVrl7bdt29fadKkSbH7DR06VPz8/LTt9evXl+k11IwARU3fVbMFiuPu7i6PPPKItq2WLDp79qzlsZSUFK3Js3LPPfdozahLMnjwYMv2kSNHKjQPAAAAGCs2PkX+W2AEt9IhqK70ZgQ3ahFXZwd5+mH9gKn4pHRZ+nO0YTkBAADUJhQZClH9B1S/A/MyRCVRvQnCwsIsF+9VE2ZrmZc5atWqlfj6+pa4X8HXLzgLISkpSdq3b68VF1QPhtLUqVPHsn3jxo0KzQMAAAAGN3tecVRycm99dlVM9rfWqGctetQ2fTs1kvYt6+piagml2GsphuUEAABQW1BkKCQ6+vZol5CQ0texDQoKsnzBU6P8raGWLTJf7A8ODi51X7Usk9mJEycs22p2hVqiSTV3fu2110o9xunTpy3b5mWPKioPAAAAGGdvRJwcOHFVFxvet4U0beBlWE6A0U2g7e1vF9hUAe6rFfp+JQAAAKh4FBkKiYmJsWw3atSo1H0bNGhQ7PNKY+6BYM3x/f39tRkTSmxsrJTHsmXLLNsdO3Y0LA8AAABUnMzsXPmyULNnXy9nmfBgK8NyAowWGOAlw/voZ3rvj7yiFeQAAABQeSgyFJKYmGjZ9vHxKXXfgjMDVC8Ha6iljqw9vqOjo6Whs7XHL2j79u2yZcsWbVv1j+jdu7cheQAAAKBi/XdztFxNTNPFpgxvJ24ujoblBFQHEwe1Em9PZ11MLSuWlZ1rWE4AAAC2zsHoBKqbjIwMy7azs/7DaWFOTk7FPq806enpVh/fvI9q9Gzt8c0uX74sf/jDHyw/v/DCC+Li4lLleVS0U6dOWWZVAHcrOzvbcm9upg7UNJzHsBWcy9ZLvJktS37Wz6Jt5u8iPqYECQ+/PWAGVY/zuHoY0NFTlu7ItPx8JTFNPlu0Q/p3LH1wFW7hPIYt4DyGLeA8RmUx9yOuSBQZCsnJySm2iFCcgo8XfF5pcnNzrT5+wX2sPb55NsZTTz0lCQkJ2s9qBsNjjz1W5XlUBpV3wdyBiv7jDdRknMewFZzLpVuz95rk5OZbflY9ngd38TL8cxr0OI+N07aJs+yt5yQX4rMssV+OXpd2TV3Ex4OvwGXBeQxbwHkMW8B5jOqOT1iFFBztr/4Bl3YBPisrq0wX6gvPGrDmF4T5NdSSRdaIj4+XKVOmyJkzZ7SfAwMD5aOPPtIaoVVlHpXFZDIxkwEVpuC5b/S5DZQX5zFsBeeydaIupUnUJf3M0p6hXtKkvrthOeE2zuPq4+GedWXmmljJ/189LidXZOOhG/JYf3+jU6v2OI9hCziPYQs4j1GZMxkqehA3RYZCzL0HlMzMTKuLDNYsOVTc8e/EvE/B4kdJLly4IFOnTpXz589rPwcEBMjcuXPF19e3SvOoTEFBQeLh4WFoDrAdarqh+qOt/lh36NDB6HSAcuE8hq3gXL6z7Jxc+c+Pt/ptmXl7OMtvJ/URD1e+eFYHnMfVh/qvfy4xXNbsPGuJRV5Mk2wnf+kaSqGhNJzHsAWcx7AFnMeoLGpJ/KioqAo9JkPCC/Hy8rJs36nJccHHi7uQf6fjJycnl7qv+kWSlpZm1fHVL57x48dbCgyNGjWS77//XruvyjwAAABQOZZvPS2Xr6XqYk881IYCA1CCSYNDpY6HftDYl8uPagU7AAAAVByKDIU0a9ZM1zy5NHFxcZbthg0bVvjxr1y5YmnEUdrxt2/fLk888YSlB4Ma7b9w4UJp0qRJleYBAACAynE1KU0W/3RSFwsN9JH+3Ur+vAfUdh5uTvLE0Da6WOy1VFnxy2nDcgIAALBFFBkKadmypWU7Ojq61H3Nj6t+B8HBwVYd38fHR/z8/Kw6/qlTpyzbISEhxe6zefNmeeGFFywzDTp27Cjz5s0Tf3//Ks0DAAAAlWfOqgjJyr49+lq123rukQ5ib6/vuwVA74GwptKqqY8upgp28UnphuUEAABgaygyFNK5c2dLM5U9e/aUuJ9qjrFv3z5tOzQ0VLf80J2EhYVp95GRkXLz5s0S99u9e7dlu3v37kUe37t3r7z88suWRjC9e/eWb775RisgVGUeAAAAqDyHT16VneGxutjgXs0kqLG3YTkBNYUqxD33SHutMGeWmZUrc1YfMzItAAAAm0KRoRBVLOjZs6dllkBsrP4LndmPP/4oiYmJ2vaQIUPK9BqDBg3S7nNycrRljUpqwLF8+XJtu3nz5lohoyC1NJIqMJibT99///3yxRdf6Bo6V0UeAAAAqDzZOXkya/lRXczTzUkeH9LasJyAmia4iY882CNQF9txJFaOnIw3LCcAAABbQpGhGE8++aR2r2YITJ8+XbvQXnj5oHfffVfbdnd3lzFjxpTp+AMGDJDGjRtr2zNnzpT9+/frHleFg9dee83SWHrKlClFjvHOO+9Yihyqw/ynn34qTk5OVZ4HAAAAKs/q7Wfk0lX9Z9EnHmqtFRoAWG/y0Dbi6aZvkj5rRbjk5N7qPQcAAIDyc7iL59qsPn36aKP8N2zYIIcOHZIRI0bIhAkTJCAgQI4fP66N+k9NTdX2VRfhfX19dc9XyyxNnjzZsrzQ999/r3tcFQNef/11efHFFyUjI0MraqhCRZcuXbQL+kuWLJGTJ2819lOx0aNH655/+vRpWb9+veXnwYMHa82f78Tb21u6detWYXkAAACg8iQkp8uiTSd0saAm3jKgu35ENoA783K/NQPos2XhltjFKylaIW/UfUGG5gYAAFDTUWQowQcffKAVEnbs2CGXLl2SDz/8UPe4avY8bdo0GT9+fLmO379/f3nrrbe0GRFqxsSCBQu0W0Ht27eXzz77TEwmky6+YsUKyc/Pt/z897//3arXLK7gcTd5AAAAoPLMXX1c0jNvN3tWXnikg5ho9gyUy4M9m8mGPefl9KVkS2zhxhNyb5fG4uvlYmhuAAAANRnLJZXA1dVVZs+erRUXVENlNVtBNYSuV6+eNnNg/vz5WpHhbqjZEarfgZo90KhRI21mgVp+STWf/vOf/6zNmCiuibN5dkFFKW8eAAAAqBxHT1+TXw5d0sUGdm8qIU35TAaUlyrQPT+qgy6mCnlzV0cYlhMAAIAtYCZDKdRshYcffli7lUWPHj0kKirKqn2Dg4NlxowZZTr+rFmzyrR/ZeUBAACAipebmyez/nt7SRfF3dVRnniojWE5AbYitJmvDAhrKj/tu2CJbT14SQb1DJR2LesamhsAAEBNxUwGAAAAoBr5cedZOR93Uxd7fHCo1PFwNiwnwJaogp27i3683azlR7UCHwAAAMqOIgMAAABQTSTdzJD5G/TNnls0rCOD72luWE6ArfH2dJZJg1vrYucu35C1u84ZlhMAAEBNRpEBAAAAqCa+WXNc0jJydLHnHmlPs2eggg29p5k0C/DSxeavj9QKfQAAACgbigwAAABANRB5NlE277+oi/Xv1kTaNPczLCfAVplM9vL8I/om0KkZOfLtj8cNywkAAKCmosgAAAAAGCw3L1++KNTs2c3FQZ6k2TNQadq28JP7ujTWxX7ed1FOnEs0LCcAAICaiCIDAAAAYLD1v56TM7HJutjEQaHi4+ViWE5AbTBleFtxdTbpYl8sD9cKfwAAALAORQYAAADAQMkpmfL9ukhdrGkDT3moN82egcrm6+UiEx4M1cVOX0qWjbtpAg0AAGAtigwAAACAgb5bGymp6dm6mFor3sHER3WgKgzv20Ka+HsW+XepCoAAAAC4M765AAAAAAY5eSFJNu09r4v169xI2resa1hOQG2jCnrPjWqvi6WkZxeZYQQAAIDiUWQAAAAADJCXly9fLj8q+QWWfldrwz81vK2RaQG1UsfgetKnY0NdbOOe83Lq0nXDcgIAAKgpKDIAAAAABth+OEaiLiTpYuMHthK/Oq6G5QTUZk8/3E6cnW43gVYFwDmrIiS/YCUQAAAARVBkAAAAAKpYZnaufLv2uC7WsK67DO/b0rCcgNqurrerjH0gRBc7evqa7ImIMywnAACAmoAiAwAAAFDFVm07LfFJ6brYlOFtxdGBj+eAkUbc21Lq+ehnE81dHSHZOXmG5QQAAFDd8S0GAAAAqELXb2bKDz9H62Kq0XOPtg0MywnALc6OJpk8tI0uFnstVdb9etawnAAAAKo7igwAAABAFVqw4YSkZ+ZYfrazE3nq4bZipzYAGK5fp0YS0tRbF1u0MUpS0rIMywkAAKA6o8gAAAAAVJHzcTdkw+5zutj9XZtIUGP9BU0AxrG3t9OaQBd0My1bFv900rCcAAAAqjOKDAAAAEAVmbM6QvLyb//spC3N0trIlAAUo01zP+ndoaEutmbHGbl8LdWwnAAAAKorigwAAABAFTh44qp2K+iR+4LEr46+ySyA6uGJh9qIg+n2MmY5ufnyzY8RhuYEAABQHVFkAAAAACpZbl6+zFl9TBfz9XKWR+4PMiwnAKULqOsuw/q00MV2hV+WiDMJhuUEAABQHVFkAAAAACrZT3vPy/m4m7rY40Nai6uzg2E5AbizcQNbiaebky729apjkldw3TMAAIBajiIDAAAAUInSMrJl3roTuljzhl5yf7emhuUEwDoero4y4cFWulj0xeuy7dAlw3ICAACobigyAAAAAJVo6eZouZ6SqYs9PbydmOxvr/UOoPoack8zaVTPXRf7dm2kZGbnGpYTAABAdUKRAQAAAKgkV5PSZOUvp3WxsDb+0jGknmE5ASgbB5O9TBnWVhe7dj29yL9tAACA2ooiAwAAAFBJvl8bKVk5eZaf7e3tilysBFD9dW/bQDoE1dXFlm4+KUk3MgzLCQAAoLqgyAAAAABUgpMXkmTrQf267UN6NZMm/p6G5QSgfOzs7OSp4W3FrsAqZ+mZuTJ/g77fCgAAQG1EkQEAAACoYPn5+fL1qmO6mLuLQ5EGsgBqjpaNvaV/tya62KY95+X85RuG5QQAAFAdUGQAAAAAKtiuo5fl+NlEXWzsgFZSx8PZsJwA3L3Hh7QWZyeT5ee8fJE5qyMMzQkAAMBoFBkAAACACpSdkyvfrjmui/n7usnwvs0NywlAxfCr4yqP3Bekix2MuioHTlwxLCcAAACjUWQAAAAAKtCPO8/K5YRUXezJYW3E0eH26GcANZcqMvh66WclqdkMubm3m7wDAADUJhQZAAAAgApyIzVLFm06qYu1buYrvTs0NCwnABXLxdlBWzapoAtxN2Xj3guG5QQAAGAkigwAAABABVm0KUpS07N1sacebit2dnaG5QSg4t3fram0aFhHF5u/PlLSMvT//gEAAGoDigwAAABABYiJT5G1O8/qYv06N5LQQF/DcgJQOUz2dloBsaDklCxZujnasJwAAACMQpEBAAAAqABz1ZrsefmWnx0d7OWJoW0MzQlA5ekYXE+6t2mgi6345bRcTUwzLCcAAAAjUGQAAAAA7tLRU9dkT0ScLjaiX0up7+tmWE4AKt+U4W20WQ1m2Tl58t3aSENzAgAAqGoUGQAAAIC7kJeXL7NXHdPF6ng4yZgHgg3LCUDVaFzfU4b0aqaL/XLokpy8kGRYTgAAAFWNIgMAAABwF7YcuChnYpJ1sUmDQsXNxdGwnABUnfEPthJ3FwddbPbKY5Kff3v5NAAAAFtGkQEAAAAop4zMnCJLozTx95QHewQalhOAqlXHw1nGDWyli0WeS5Rd4ZcNywkAAKAqUWQAAAAAymn5L6cl8UaGLvbU8LZiMvExG6hNhvVpLg389D1Y5q6JkOycXMNyAgAAqCp8+wEAAADKISE5XZZtidbFOofUk66h9Q3LCYAxHB1M8uRDbXWxK4lpsmbHWcNyAgAAqCoUGQAAAIBymL/+hGRm3R6lbG8n8tTD7cTOzs7QvAAY454OAdK6ma8utnhTlCSnZBqWEwAAQFWgyAAAAACUkWr0/NO+C7rYwB6B0izAy7CcABhLFRifflg/myE1I0cWbYoyLCcAAICqQJEBAAAAKIP8/Hz5etUxyc+/HXN1NsmkQaFGpgWgGmgV6Cv3dm6si63bdU4uXb1pWE4AAACVjSIDAAAAUAb7Iq9I+Klrutij/YPFx8vFsJwAVB+Th7YWR4fbX7Vz8/LlmzXHDc0JAACgMlFkAAAAAKyUk5snc1ZF6GJ1vV1l5L1BhuUEoHqp7+smI+9tqYvtiYiTI9HxhuUEAABQmSgyAAAAAFba8Os5iYlPKTJq2dnRZFhOAKqf0f2DxdvDWRdTBUo1qwEAAMDWUGQAAAAArJCSni3zN+gbuAY18S6y/joAuLk4ysTB+j4tZ2KTZcv+i4blBAAAUFkoMgAAAABWWPLTSbmZlqWLTX24ndjb2xmWE4Dq68HuTaVpA09d7Pt1xyUjM8ewnAAAACoDRQYAAADgDuISUmX19jO6WK/2AdK2hZ9hOQGo3kwme3lqeFtdLPFGpizfesqwnAAAACoDRQYAAADgDr758bjW9NnMwWQnTw5rY2hOAKq/rqH+0qVVfV1s2dZTkpCcblhOAAAAFY0iAwAAAFCKyLOJsvNIrC72UO8W0rCuh2E5Aag51GyGgquqZWblyrx1J4xMCQAAoEJRZAAAAABKkJ+fL1+vOqaLebo5yviBIYblBKBmCQzwkoE9AnWxn/dfkNOXrhuWEwAAQEVyqNCj2eCXyjVr1siyZcskMjJS0tLSpF69ehIWFiaTJk2SDh063PVrnDx5UubOnSt79uyRq1eviqenp7Rs2VJGjhwpo0aNEpPJVOZjHjlyRMaPHy8BAQGyefPmO+7/+OOPy969e6069uLFi6VTp05lzgkAAKAm2n44RqIuJOli4x9sJR5uToblBKDmmTQ4VLYduiTpmbnaz/n5InNWR8iM5+8ROzuaxwMAgJqNIkMJMjIy5OWXX5atW7fq4jExMdpt9erV8sorr8izzz5b7tf44Ycf5C9/+YtkZ2dbYomJidpt3759snz5cpk5c6Z4e3tbfczU1FR54403JC/v9prB1hQ6AAAAoJeZnav1YiioYV13GdKruWE5AaiZfDxdZHT/EPl+XaQlFn7qmuw7fkW6t21gaG4AAAB3iyJDCV5//XVLgUHNLBg7dqzUrVtXIiIiZNGiRdqsho8//lj8/f1lxIgRZT7+9u3b5c0339RmS7i6umozD9q1aycJCQmydOlS7cL//v37Zfr06TJ79myxt7/zylZZWVny4osvlqlocOXKFbl+/dY0XfUe77333lL3b96cL9UAAKB2WLXttMQn6ZuzThneVhwdWHEUQNmNuLelrPv1nFy7fvv3ypzVx6RLaH1xMPF7BQAA1FwUGYqxc+dObZkkpWfPnvLll1+Ks7Oz9vOwYcNk9OjRMnHiRO3i/HvvvScPPPCAeHhY3/hPFQPefvttrcDg5uYm8+bNk7Zt21oenzBhglZc2LRpk5bL2rVrtdctjSpOqJkXagZEWZw4cbvh2KBBg6RPnz5lej4AAIAtun4zU374OVoXa9fST3ow4hhAOTk7muSJoa3l4wUHLbGY+FRZt+ucDO/bwtDcAAAA7gbDJYoxZ84c7d7BwUFmzJhhKTCYqZkNahaCogoNatmjsti4caNcunRJ2546daquwKA4OTnJBx98YFkmadasWaUe79dff5VHHnmkzAUGJSoqyrIdHBxc5ucDAADYonnrIyU9M8fys1oy/emH27F2OoC70q9zYwluol8Od+HGE3IzLcuwnAAAAO4WRYZCVNFg165d2nbfvn2lSZMmxe43dOhQ8fPz07bXr19fptdQMxMU9SVVzVoojru7u1Y4UNTyR2fPni2yj+rd8Jvf/EaefPJJiYuL02KPPvqotoRTWYsMqqBRlucBAADYqrOxybJpz3ld7P6uTSSosfV9sgCgOPb2dlrBsqCbadmyaOPtwV8AAAA1DUWGQlQfBHPTZLVUUklUj4SwsDBt+8iRI5KcnGz1a5hnHLRq1Up8fX1L3K/g62/btq3I49HR0fLTTz9ZihJq1oVavknNwLCWuX9DSEiI1c8BAACwVWo5y9krj0le/u2Ys5NJJg9tbWRaAGxI2xZ+0rtjQ13sx51n5eKVm4blBAAAcDcoMhRz4d7sThfeg4KCLF9GrW22rBot37hxw6rlidSyTMX1Tihc7Bg1apSsW7dOxowZI2WRnZ1tmSFhziU9PV0OHTokv/zyi4SHh2v9IwAAAGqLPRFxEn7qmi42un+w+NVxNSwnALbnyYfa6JrI5+bly5zVEYbmBAAAUF40fi4kJibGst2oUaNS923QoIHueeaZDaUx92Kw5vhq+SJVRFAzK2JjY4s83qxZM9mwYYM0bdpUyuP06dNaoUHx9PSUP/3pT/Ljjz9KZmZmkWWbXnrpJalTp065XgcAAKAmyM7JlTmr9Bf56nq7ysh7bw/8AICK0MDPXfvdUrDB/P7IK3LwxFXpElrf0NwAAADKiiJDMX0OzHx8fErd19yY2dzLwRpJSUlWH9/R0VHc3NwkJSWl2OPfbQ+Fgk2fv/jii2L3SU1Nle+//15brunrr78usUdFVTl16pRWeAEqgrnIpu7VzB2gJuI8hq2oDufyjohkuZyQqov1b+8hJ08cNyQf1DzV4TxGzdHaP088XEySkpFric1csl+mPdxITPbGNZnnPIYt4DyGLeA8RmUxtwqoSBQZCsnIyLBsOzs7l7qvk5NTsc8rjVqOyNrjm/dRRQZrj1/eIoNqQj127FitEXXz5s0lLS1Ndu/eLZ9++qmcO3dOzp8/L88//7wsXbpUXF2NWy4gNzdXuwGV9ccbqMk4j2ErjDiXUzNyZfOR24NBlMZ+TtK6sRP/tlAunDe4EzV0qn9HL1m15/bvnqvJ2bI78rp0D/GQ6oDzGLaA8xi2gPMY1R1FhkJycnKKLSIUp+DjBZ9XmoIXyO90/IL7WHv8slD9IcwFhn/84x8yZMgQy2MuLi4ydOhQ6du3rzz++OMSGRmpzSL47rvv5LnnnhOjmEwmZjKgUv5Iq5lDQE3EeQxbYfS5/Mv+ZMnMLtDtWUSG9fCz6vMaUF3OY9Q8YSF1ZF90qlxOvN0Lb+vRG9IlyEtcnU2G5MR5DFvAeQxbwHmMypzJUNGDuCkyFKIurhf8x1zaF8uCTZGt/QJacPaCNVVI82tUxi+Tjz/+WGbMmCHXrl0rcRkk1avhvffe05pLK0uWLDG0yKCabXt4VI9RPaj51HRD9e9Q/fvq0KGD0ekA5cJ5DFth5Ll87vIN2R99Vhe7r2tjeeiBrlWaB2o+fiejPF7ybCT/99lOy89pmXlyNNZRpo5oZ0g+nMewBZzHsAWcx6gsatWcgivcVASGhBeieiCYFWyAfKcigzVLH5X1+AX3KVj8qEhq6aM79Vlo06aNBAcHWxpXm2dAAAAA1HT5+fkye+VRySswicHJ0SRPDG1jZFoAapH2LevKPR0CdLE1O85ITHyKYTkBAACUBUWGQry8vKxu5lzwcV9f3zIfPzk5udR9VbVS9UYoy/ErS4sWLSzbFBkAAICt2Hf8ihyJvqaLjb4/SOp6G9eDCkDtM2VYW3Ew3f56npuXL3NWRRiaEwAAgLUoMhTSrFkzy/bly5dL3TcuLs6y3bBhwwo/vrqYb+72be3xK4uDAytrAQAA25Kdkydfrzqmi9Wt4yKj7g8yLCcAtVMDP3cZ0e/2wC5l7/E4ORR11bCcAAAArEWRoZCWLVtatqOjo0vd1/y4apxsXk7oTnx8fMTPz8+q46tGy2YhISFSkRITE2XevHnyz3/+U1asWHHH/QvOXqhfv36F5gIAAGCEH3eeldhrqbrYEw+1ERcnBlcAqHpjB4SIt4d+GV5VCM3NvTXwDAAAoLqiyFBI586dLU2W9+zZU+J+qgP3vn37tO3Q0FDdMkh3EhYWpt1HRkbKzZs3S9xv9+7dlu3u3btLRVJLMb3zzjvy+eefy5w5c0rdV+V47NitUX7+/v7SoEGDCs0FAACgqiWnZMqijSd0sVZNfaRf58aG5QSgdnNzcZTHhrTWxc7H3ZSNe84blhMAAIA1KDIUoooFPXv21LY3b94ssbGxxe73448/arMBlCFDhpTpNQYNGqTd5+TkyMKFC0vs8r18+XJtu3nz5lohoyKpYoF56SbVTfzw4cMl7quKEBkZGdr2iBEjKjQPAAAAIyzYcEJSM3J0sakj24m9vZ1hOQHAgO5NpXlD/QC2eetPSEp6tmE5AQAA3AlFhmI8+eSTltH+06dP1y74F17G6N1339W23d3dZcyYMWU6/oABA6Rx41uj5GbOnCn79+/XPZ6VlSWvvfaapbH0lClTpDI8/vjjlu0//OEPxTZ0VsWUL7/8Utv29va2/LcBAACoqc5fviHrfz2ni93bubGEBvoalhMAKCZ7O5k6op0udiM1SxZvijIsJwAAgDthwdli9OnTR5ttsGHDBjl06JA2en/ChAkSEBAgx48f12YfpKbeWr9XFQN8ffVfSNUyS5MnT7Ysc/T999/rHndycpLXX39dXnzxRW2GgLpwrwoVXbp00QoLS5YskZMnT2r7qtjo0aMr5X2OHz9e1q1bpxU5zp07Jw8//LCMGzdOmzWhCitqJseWLVssjZ/ff/99Sz8JAACAmig/P19mrzomefm3Y06OJq0XAwBUBx2C6kmv9gHy69HLltiaHWdkSK9m0rCeh6G5AQAAFIciQwk++OADrZCwY8cOuXTpknz44Ye6x1Wz52nTpmkX6sujf//+8tZbb2kzItSMiQULFmi3gtq3by+fffaZmEwmqQyqcKB6Mrz66qva+1QFjlmzZhXZT81gUHnef//9lZIHAABAVdkfeUUOn4zXxR65L0jq+bgalhMAFDZlWFvZdzxOcnJvVUTV/ZzVEfLGUz2MTg0AAKAIigwlcHV1ldmzZ8vq1atlxYoVlibN6oJ7165dtZkK6v5uqNkR3bp1k2+//VZ27dol8fHxWtPpkJAQGT58uIwdO9bShLoye1Co9/nzzz9r7/PIkSOSlJQkbm5u2pJOqhii8mQGAwAAqOlycvPk61XHdDFfLxd59P4gw3ICgOIE1HWXh/u2lP9uPWWJ7YmIkyMn46VjSD1DcwMAACiMIkMp1GwFtYSQupVFjx49tGbK1ggODpYZM2ZIRVLLHJX1fao+EeoGAABgq9buPCsx8beWvDRTyyS5OPORGED1M3ZAiPy8/4Ikp2RZYmq5t39Ov0/r3QAAAFBdVKvGz2qmAAAAAFDRVOPUBRv1g0CCm3jLfV0aG5YTAJTG3dVRHhvcWhc7d/mGbNpz3rCcAAAAqn2RQfU3iImJMToNAAAA2JiFG05Ianq2LvbMiPZiz2hgANXYwB6B0izASxebtz6yyO8zAAAAI1WrIsPp06dl3LhxEh4ebnQqAAAAsBEX4m7I2l/P6WL9OjWS1s19DcsJAKyhlkWaOqKdLqaWT1ry00nDcgIAAKjWRYaePXvKtWvXtKbKGzZsKPPz161bVyl5AQAAoOb6enWE5OXlW352crDXejEAQE3QMbie9GjbQBdbtf20xF5LMSwnAACAaltkmD17tjzyyCOSkZEhr776qnz11Vd3fE5ubq4sW7ZMBg8eLL/73e+qJE8AAADUDPsjr8jBE1d1sVH3BUl9XzfDcgKAsnpqeFtxMN1e3i0nN1++WXPc0JwAAACqZZHBwcFB3nvvPa3AkJ+fL5988on8+c9/1goJhWVmZsp3330nAwYMkDfeeEPOnTsnderUMSRvAAAAVD85uXny9apjupivl7M82j/YsJwAoDwa1vOQYX1a6GK/Hr0s4afiDcsJAACgWhYZzJ577jn5+OOPxcnJSX744Qd59tlnJSXl1lRQdf/FF1/I/fffL3/729/k8uXLUr9+ffnTn/4kW7ZsMTp1AAAAVBPrdp2TS1f1y4lMHtpGXJ0dDMsJAMpr3MBW4uXupIvNXnlMcgssBwcAAGCEavsNa+jQodKwYUN58cUXZdeuXTJhwgTp27evLFmyRFJTU7WZDk2bNpVnnnlGRo4cKY6OjkanDAAAgGriZlqWLNhwQhcLalxH7u/axLCcAOBueLg6ymODQ+WzZeGW2NnYG/LT3gsyqGegobkBAIDarVrOZDDr1KmT/POf/xR7e3s5deqUzJ07V5vJEBwcLB999JGsX79exowZQ4EBAAAAOgs3RklKerYuNnVEe7G3v72mOQDUNA/2CJTABp662Lx1kZKWof99BwAAUJWqbZHhzJkz2hJITz/9tNaTQc1cUDfVt0H1bBg2bJhWfAAAAAAKunjlpvy486wu1qdjQ2nbws+wnACgIphM9vL0w+10sespmbLkp5OG5QQAAFDtrtIfO3ZMfvvb32pFhBUrVkh2drb07t1bm8UwYsQIycnJkWnTpsn8+fONThUAAADV0JzVEZJXYI1yRwd7eXJYW0NzAoCK0rlVfenepoEutnLbGYlLSDUsJwAAULtVq54MTz31lPz666/ajAU7OzsZOHCg1gS6bdtbXwp79eoljRs3lpkzZ8qMGTPk0qVL8oc//MHotAEAAFBNHDhxRfZHXtHFRt7bUvx93QzLCQAq2lMPt9V+35mbPufk5sncNRHypye6G50aAACohSplJsOgQYPk5Zdfls2bN5fpearBs8lkklGjRsmaNWvkX//6l6XAYPbSSy/J+++/r+33zTffaD9nZmZW8DsAAABATZObmydfr4rQxXw8nWV0/2DDcgKAytConocM69NCF9sVflmOnr5mWE4AAKD2qpQiw/nz52Xjxo1a0aAsHnvsMe15f/vb36Rly5Yl7jdy5EiZPXu2eHp6yk8//SSTJ0+WxMTECsgcAAAANdX63ee1fgwFTR7aWtxcHA3LCQAqy/iBIeLp5qSLzV55zDK7AQAAwGZ7MqimzZ999pnWe6GwN954Qxo2bGjVcXr27CkLFiyQgIAAOXLkiIwdO1ZrFg0AAIDaJyUtS+avP6GLtWhUR/p3a2pYTgBQmTzcnGTS4FBd7ExMsmzZf8GwnAAAQO1UKUUGZ2dn7V41bS5s3bp18u9//1tr6ny3goKC5IcfftCWVFL9GSZMmHDXxwQAAEDNs2jTSbmZlqWLPTOindjb2xmWEwBUtsE9A6WJv6cu9t3aSEnLKPpdHAAAoEYVGby9vbX7K1f0Tfcqg5+fn8yfP1/uv/9+uXHjRqW/HgAAAKqXmPgUWbNDP6O1d4eG0q5lXcNyAoCqYDLZy9QR7XSxpJuZsnRztGE5AQCA2qdSigxqhkF+fr78+uuvVVJocHFx0ZZgUj0dAAAAULvMWRWhW4PcwWQvTw5rY2hOAFBVurSqL91a++tiK345LVcS0wzLCQAA1C6VUmTo37+/dp+VlSXjxo3TZhqo5Ywqk52dnbz++uuV+hoAAACoXg5FXZW9x+N0sZH3tpQGfu6G5QQAVe2p4W3FVGB5uOycPPlmTYShOQEAgNqjUooMY8aMkcDAQG02g5rJMGPGDBk4cKD07t3bss/58+clMjKy2L4NAAAAwJ3k5ubJ16uO6WLens4y5oFgw3ICACOovgwP9W6ui+04EisRZxIMywkAANQelVJkcHJyku+++046d+6sFRrMt8TERMs+O3bskEceeUTbZ8SIEfLHP/5RvvnmG9mzZw+9FQAAAHBHG/ecl/NxN3Wxx4e0FjcXR8NyAgCjjH+wlXi66X//zV55VPIKLCcHAABQGRwq5agi4u/vLwsXLtSKCatWrZK9e/dKXFyctqyRKjiY5eTkyMmTJ7XbypUrLfGAgABp3bq1dgsNDZU2bdpIw4YNKytdAAAA1CAp6dkyb/0JXaxFwzryQFhTw3ICACN5ujnJxEGhMmv5UUvs1KVk2XLgIr8bAQBAzSwymPXp00e7KWrppHvvvVcrNDRt2lTc3d3l1KlTWu+Gwi5fvqzdNm/ebIl5eXlJq1atLMWHkSNHVnb6AAAAqIYWb4qSG6n6z5BTR7TTrUkOALXN4F7NZO2us3LxSool9t3a43JPh4bi6lzpX/8BAEAtVaWfMtTsBrO+ffvKG2+8Ibm5uVqhQfVnMN9OnDhR7JJJycnJsm/fPu2mChUUGQAAAGqf2PgUWbPjjC7Wq32AtA+qa1hOAFAdOJjs5emH28nbX+22xBJvZMqyzdHy2JDWhuYGAABslyFDGQoul2QymbTZCepWsGgQExNjKTocP35cKzyomQ0FnwsAAIDaRX0W/GrlMcnJzdddVJsyrK2heQFAddE11F+6htaXAyeuWmL/3XpKWzIpoK67obkBAADbVOVFhg0bNmgzFzw9PUvdr1GjRtptwIABltj169d1Mx4AAABQu/x69LLsj7yii43o14ILZwBQgJrNcOjkFkvT5+ycPPliebi8PbWntioAAABAjS4yBAYGarfy8Pb2ll69emk3AAAA1C5pGdny5YrbDU0VH09nGfNAiGE5AUB11MTfU4b1bi6rtt9eWu7giauyMzxW+nRsZGhuAADA9tgbnQAAAABgjfkbTkhCckaRZs/uro6G5QQA1dWkwaHi6+Wii3214qikpmcblhMAALBNFBkAAABQ7Z2+dF3WFBiRq3QOqSd9OzEiFwCK4+biKM+ObK+LqSbQ89az9DAAAKhYFBkAAABQreXm5cvMpUfkf0uLaxwd7OX5RzuwtjgAlOKeDgFaE+iC1u48K9EXkwzLCQAA2B6KDAAAAKjWNuw+J9EXr+tiYweESMO6HoblBAA1gSrEPv9IB3FyuP3VXxVsP1t6RCvgAgAAVASKDAAAAKi2km5kyHc/HtfFGtXzkEfvDzIsJwCoSRr4ucu4ga10sVOXkrUZDQAAABWBIgMAAACqrdmrjklqRo4u9uLoDuLoYDIsJwCoaUbdFyRN/PWzv75fFykJyemG5QQAAGwHRQYAAABUS4eirsq2QzG62P1dG0uHoHqG5QQANZHqY/Piox11sfTMHPlq5THDcgIAALaDIgMAAACqnazsXPn8v+G6mIerozw1vJ1hOQFATdauZV15IKyJLrbzSKzsj7xiWE4AAMA2UGQAAABAtfPDz9Fy+VqqLvbksDbi7elsWE4AUNNNGdZWPN0cdbEv/hsumdm5huUEAABqPooMAAAAqFYuXb0pSzdH62KhgT4ysHugYTkBgC2o4+GsFRoKupKYJos3RRmWEwAAqPkoMgAAAKDayM/Pl8+XhUtObp4lZm9vJy+O7qjdAwDuzgNhTaVNc19dbPnWU3Ih7oZhOQEAgJqNIgMAAACqjSNnUiX81DVdbGS/ltK8YR3DcgIAW2Iu3JoKFG5zcvPls2XhWqEXAACgrCgyAAAAoFpIz8qTtfsTdLF6Pq4y4cFWhuUEALYosIGXjLovSBeLOJMgm/dfNCwnAABQc1FkAAAAQLXw0+FkSc24vUyS8tzI9uLi7GBYTgBgq8YNDJH6vm662JzVEZKWQRNoAABQNhQZAAAAYLgLVzPkwKlUXaxH2wbSo12AYTkBgC1zcXKQ50e118VupGbJ+oOJhuUEAABqJooMAAAAMJRq8rxit74Pg4uTSZ4tdPELAFCxwto0kHs66Iu5B6JT5PzVTMNyAgAANQ9FBgAAABhq9fYzciUpWxebOChU6vvol/EAAFS8Z0a0F1dnky62Zl+S1gwaAADAGhQZAAAAYJirSWkyf8MJXaxZgJcM79vCsJwAoDap6+0qkwa31sXik3Nk1/Fkw3ICAAA1C0UGAAAAGObL5UclM+t2k1E7EfnNmI7iYOJjKgBUlWG9m0uLRnV0sc1HrsuVxDTDcgIAADUH394AAABgiN3HLsueiDhdrFuIp4QG+hqWEwDURiaTvfxmdEexU5Xe/8nOzZcv/hsu+fksmwQAAEpHkQEAAABVLj0zR2YtP6qLubvYy6AuPoblBAC1WUhTHxnSq5kutj/yivx69LJhOQEAgJqBIgMAAACq3MKNUXLterouNqizd5HmowCAqjN5aBvxcNX/Hv5yxVFJy8g2LCcAAFD9UWQAAABAlTobmywrt53WxVo0cJH2zVwNywkAIOLu6igPhemXrEtIzpD5G04YlhMAAKj+HIxOoDpTa0+uWbNGli1bJpGRkZKWlib16tWTsLAwmTRpknTo0OGuX+PkyZMyd+5c2bNnj1y9elU8PT2lZcuWMnLkSBk1apSYTGUfzXfkyBEZP368BAQEyObNm616TkxMjJbH9u3bJTY2VlxdXSUwMFAeeugh7VguLi7leHcAAAB6eXn58tnSI9q9mWry/HBPP7EruBg4AMAQ7Zu5y76TN+RMXKYltmb7GenftYm0bOxtaG4AAKB6oshQgoyMDHn55Zdl69atRS7Gq9vq1avllVdekWeffbbcr/HDDz/IX/7yF8nOvj31NDExUbvt27dPli9fLjNnzhRvb+s/yKWmpsobb7wheXl5Vj/nl19+kVdffVV7rllWVpaEh4drN1Vk+fzzz6Vx48ZleHcAAABFbdxzXk6cT9LFRvcPlnp1snSfiQAAxlAF34fCfOTzH69Izv8Kwupu5tIj8uFv+4nJnoIwAADQY7mkErz++uuWAoOaWfCnP/1JPv74Y3nqqafEzc1NcnNztZ9XrlxZruOrGQNvvvmm9mVazRqYMmWKdrz/+7//k5CQEG2f/fv3y/Tp060uGKjCwIsvvqjNjrBWVFSUvPTSS1qBQc2aGDdunHz44Yfy9ttvS+fOnbV91PHUcdPT9esmAwAAlMX1m5nyzY/HdbGAuu4y5oFgw3ICABTl5+kg93aoo4tFX7wu6389Z1hOAACg+mImQzF27typLZOk9OzZU7788ktxdnbWfh42bJiMHj1aJk6cKNevX5f33ntPHnjgAfHw8LD6+KoYoC7iq+WYVMFi3rx50rZtW8vjEyZM0IoLmzZt0nJZu3at9rqlSUhI0GZeqBkQZaHyyMzM1AoMarbCvffea3lMLZM0Y8YMLT9VjPjuu+/kueeeK9PxAQAAzOasPiap6frZCi880kGcHGn2DADVTb923nIiJlti4m/PeP9u7XG5p32A+HixnC4AALiNmQzFmDNnjnbv4OCgXWQ3FxjM1MwGNQtBUYUGtexRWWzcuFEuXbqkbU+dOlVXYFCcnJzkgw8+sCyTNGvWrFKP9+uvv8ojjzxS5gLDoUOH5ODBg9q26gFRsMBgniarZnSo92v+78IyBgAAoDyORMfLlgO3Pv+Y9evcSDq3qm9YTgCAkjmY7OTF0R11sbSMHJm96phhOQEAgOqJIkMhqmiwa9cubbtv377SpEmTYvcbOnSo+Pn5advr168v02uomQnmi/hq1kJx3N3dtcKBebmis2fPFtlH9W74zW9+I08++aTExcVpsUcffVT8/f3LlIeiZmYUx97e3vKY+m+ze/duq44NAABglp2TK58vO6KLubs4yNSH2xmWEwDgzjoE1ZP7u+p78207FCMHo64alhMAAKh+KDIUovogmHsgqKWSSqIuvoeFhWnbR44ckeTkZKtfwzzjoFWrVuLr61vifgVff9u2bUUej46Olp9++slSlFCzLtTyTWoGRlnyqFOnjrRp08aqPFQvCQAAgLJYtuWUbrkNZfJDbVhuAwBqgKeGtxN3V0dd7Itl4ZKZnWtYTgAAoHqhyFDMhXszcwPmkgQFBWn3qreCtc2Wr1y5Ijdu3NC2g4NLb3JoXqZIOXHiRInFjlGjRsm6detkzJgxYi3VuPr06dOW11HHKUnz5s21ng2l5QEAAFCc2GspsuQn/eekkKbeMqhnM8NyAgBYz9vTWZ58SD8o7XJCqiz9+fZ3ZwAAULtRZCgkJibGst2oUaNS923QoEGxzyuNuReDNcdXyx6ZL/7HxsYWebxZs2ayYcMGef/9961eIsns2rVrWgNqa/JQBYZ69eqVmAcAAEBx1ECMz5eFS3bOrVmiir2dyG9GdxKT2gAA1AgP9giU0EAfXWzp5mi5dPWmYTkBAIDqw7p1dWoR1efAzMdH/yGqMHNjZnO/AmskJSVZfXxHR0dxc3OTlJSUYo9f1sJCed+neUkl1ffB2vdZWU6dOlXqrAugLMyNzNV9eHi40ekA5cJ5jOos/GyKHD4Zr4v1au0lKQnnJTxBvy/nMmwB5zFs+Twe2MFNTl5Ikrz8Wz/n5ObJh9/ukqcebKD1GwSqE34fwxZwHqOymFsFVCSKDIVkZGRYtp2dnUvd18nJqdjnlSY9Pd3q45v3UUUGa49vrfLkoVR0HmWllnlSN6Cy/ngDNRnnMaqT9Kw8+XGvvpLg5WaSfm097niuci7DFnAew9bOYz9PO+kZ6iG7IlMssTNxGXIgOlk6Nnc3KEPgzvh9DFvAeYzqjiJDITk5OcUWEYpT8PGCzytNwQvkdzp+wX2sPb61qkseZaWWbmImAyrjj7SaOQTURJzHqK7WHbgmKRn6ETLDuvuJh1vxgxs4l2ELOI9h6+fxwM5+cvxCulxPvf19cuOhZGkT6Cluzrf6+AHVAb+PYQs4j1GZMxkqehA3RYZCXFxcdP+YS7sAb+5pYO2F+sKzBqypQppfo6J/mVSXPMpKNdv28PAwNAfYDjXdUJ3/6rzu0KGD0ekA5cJ5jOpILaex9+RZXSysjb+MH9ajxCU1OJdhCziPURvO42nO/jJj7l7Lz6kZebL/nJ1MG8M5j+qD38ewBZzHqCxq1ZyoqKgKPSZDwgtRPRDMMjMzS923YJHBmiWHynr8gvsULH5UBHd392qRBwAAsC25uXkyc+kRyf/fmt2Kk6NJnhvVgTW7AcAG9GgXID3aNtDFNuw+L5Fnb/f9AwAAtQtFhkK8vLws23dqclzwcV9f3zIfPzk5udR9VbUyLS2tTMe3lqenp9V5FNynovMAAAC2Zc3Os3ImRv/ZYsKDrcTf9/ZACwBAzfbsqPbi4qRfHumzZUe0ZtAAAKD2ochQSLNmzSzbly9fLnXfuLg4y3bDhg0r/PhXrlyxdPu29vjWql+/vmU2Q2xsbKn7qjW64uPjKyUPAABgO+ISUmX++khdrGkDTxl5b0vDcgIAVLz6Pm4ycVCoLnbu8g3575ZThuUEAACMQ5GhkJYtb38Jjo6OLnVf8+Nq6n9wcLBVx/fx8RE/Pz+rjn/q1O0PaCEhIVJZ7/X06dOl7nfmzBlLM5DKyAMAANjGMkmfLDgo6Zn6BmIvPtpRHEx85AQAWzO8bwtpFnB7pr6yYMMJib6YZFhOAADAGHzjK6Rz586W5sZ79uwpcT910X3fvn3admhoqG4ZpDsJCwvT7iMjI+XmzZsl7rd7927Ldvfu3a0+flnzSEhIKLXgUTAP83MAAAAK+mFztESe06/H/WCPQGnb4tbgCgCAbVEF5N+M6Sj2Bdrt5Obly8fzD0hGZo6RqQEAgCpGkaEQVSzo2bOntr158+YSlxL68ccfJTHx1hfpIUOGlOk1Bg0apN3n5OTIwoULS+zyvXz5cm27efPmWiGjopnzUL7//vsSiykLFiyw9HHo06dPhecBAABqthPnE2XhxihdrIGfmzz9cFvDcgIAVL7QQF8Z/YB+tntMfKrMXnXMsJwAAEDVo8hQjCeffNLSeHn69OnaBf/Cyxi9++672rbqazBmzJgyHX/AgAHSuHFjbXvmzJmyf/9+3eNZWVny2muvWRpLT5kyRSpDx44dtZkbyg8//CDr1q3TPZ6fny8zZszQlktSJk6cKC4uLpWSCwAAqJnSMrK1Uat5efmWmL29nfxuUldxc7k1OxQAYLsmPNhKgpt462Ibdp+XX4+W3oMQAADYDgejE6iO1Gh9Ncp/w4YNcujQIRkxYoRMmDBBAgIC5Pjx49rsg9TUVG1fVQzw9fXVPV8tszR58mTLMkeFZwk4OTnJ66+/Li+++KJkZGRoRQ1VqOjSpYtWWFiyZImcPHlS21fFRo8eXWnv9c0335Rx48ZpBZVXX31Vm72h3r/Ka8WKFXLw4EFLw+rnnnuu0vIAAAA101crjklcQpouNn5gK210KwCgdiyb9PtJXeXlT7ZKRtbtvjz/XnJYWgX6iK8XA9UAALB1FBlK8MEHH2iFhB07dsilS5fkww8/1D2umj1PmzZNxo8fX67j9+/fX9566y1tRoS6wK+WJDIvS2TWvn17+eyzz8RkMklladu2rfzzn/+U//f//p+kpaXJqlWrtFtBgYGBMnv2bG3WBgAAgNmOIzHy074LuljrZr4y9oFgw3ICAFS9hvU85JmR7bXCgtnNtCz558KD8vYzvbQZbgAAwHZRZCiBq6urdmF99erV2oh+c5Nmb29v6dq1qzZTQd3fDTU7olu3bvLtt9/Krl27JD4+Xms6HRISIsOHD5exY8damlBXJrV8k+oxMXfuXNm2bZvExcVpRRTVC0LN6Hj88ccpMAAAAJ1r19Nl5g9HdDFXZweZPrGLmEysyAkAtc3A7k1lf+QV3TJJh07Gy+odZ2REv5aG5gYAACoXRYZSqAvtDz/8sHYrix49ekhUlL75YUmCg4O1vgcVSS15VFYNGzbUlnBSNwAAgNKo/gv/WHhQUtKzdfHnH+kgDfwYmAAAtZE2239MJ4k6nySJNzIs8W/WHJcOQXWlecM6huYHAAAqD8PMAAAAUCYrfjkl4aeu6WL9OjWS+7s2NiwnAIDxvNyd5NUJnXWxnNw8+Xj+AcnMvt2vAQAA2BaKDAAAALDaqUvX5ft1kbpYPR9XeWF0R20UKwCgdusUUl9G3qtfHul83E359sfjhuUEAAAqF0UGAAAAWCUjK0c+mndAcnLzLTFVV3h1QhfxcK38PlIAgJph8tDW0ryhly62evsZOXDiimE5AQCAykORAQAAAFaZszpCYuJTdLHR/YOlfcu6huUEAKh+HB1M8rtJXcXJQX/J4Z+LDklySqZheQEAgMpBkQEAAAB3tDciTtbtOqeLBTXxlgkPhhqWEwCg+gps4CVPDW+ri12/mSn/WnxY8vNvz4gDAAA1H0UGAAAAlCrpRoZ8uviQLubsZJLfT+oqjoVGqQIAYDa0d3Pp1tpfF9t7PE7W7z5vWE4AAKDi8a0QAAAAJVKjTf+5+JDcSM3SxZ8Z0U4a1fMwLC8AQPVnZ2cnvx3XSep4OOnis1cek4tXbhqWFwAAqFgUGQAAAFCiNTvOysETV3Wxnu0ayIM9Ag3LCQBQc/h4usjL4zrrYlnZufLxggOSnZNnWF4AAKDiUGQAAABAsc5fviFz10ToYr5ezjJtTCdtdCoAANYIa9NAHurdXBc7fSlZ5q+PNCwnAABQcSgyAAAAoAg1yvSj+UVHmb4yvovU8XA2LC8AQM00ZXhbaeKvX2bvv1tPSfipeMNyAgAAFYMiAwAAAIr4bm2knLt8Qxcb0a+ldG5V37CcAAA1l7OjSX4/qZs4mG7PhMvPF/nHgoOSkqbv+wMAAGoWigwAAADQORh1VVZuO62LNQvwkslDWxuWEwCg5mvRqI5MHtpGF7uWnCH/WXpE8lXFAQAA1EgUGQAAAGCRnJIp/1x4UBdzdLCX3z/WVZwcTYblBQCwDWpWXMfgurrYziOxsnn/RcNyAgAAd4ciAwAAADRqFOm/lxyWpJuZuviUYW0lsIGXYXkBAGyHvb2dvDqhi3i4Ouris5aHy+VrqYblBQAAyo8iAwAAADQb95yXPRFxuliX0PoyrE9zw3ICANgevzquMm1sJ10sPTNXPl5wQHJz8wzLCwAAlA9FBgAAAEhMfIp8tfKYLubl7iSvjOssdna3m3QCAFARendoKAO7N9XFos4nyeKfThqWEwAAKB+KDAAAALVcdk6efDRvv2Rm5eriL4/rLD5eLoblBQCwbc+MbC8Bdd11scWboiTybKJhOQEAgLKjyAAAAFDLLdx4Qk5dStbFhtzTTLq3bWBYTgAA2+fq7CC/n9RV69Nglpcv2rJJaRnZhuYGAACsR5EBAACgFjt6+pos3RytizWu7yFPDW9rWE4AgNojpKmPTBzUShe7kpgms5YfNSwnAABQNhQZAAAAaqmUtCz5ZMFByc+/HXMw2WmjSl2cHIxMDQBQi4zuHyJtmvvqYpv3X5Tth2IMywkAAFiPIgMAAEAtlJ+fL58tC5dr19N18ceHtJaWjb0NywsAUPuY7O1k+sSu4uaiL3DPXHZErialGZYXAACwDkUGAACAWmjLgUuy/bB+hGiHoLoy8t4gw3ICANRe/r5u8sKjHXWx1PRs+cfCg5KrGjUAAIBqiyIDAABALROXkCpf/DdcF/NwdZRXJ3TRNd8EAKAq3delsdzbubEudux0gvx3i753EAAAqF4oMgAAANQiubl5Wh+G9MwcXfw3YzpKXW9Xw/ICAEB5/tEOUt9H//do/voTcuridcNyAgAApaPIAAAAUIss+TlaIs8l6mIDwppKn46NDMsJAICCM+tUf4aCE+vUckkfzd8vGYUK5AAAoHqgyAAAAFBLnDifKIs2ReliAX7u8szIdoblBABAYW1b+MnoB0J0sZj4VJm96phhOQEAgJJRZAAAAKgF0jKy5eP5BySvQPNM1X9h+qQu4ubiaGhuAAAUNuHBVhLcxFsX27D7vOw+dtmwnAAAQPEoMgAAANg4VVj456JDEpeQVuQCTmigr2F5AQBQEgeTvfx+UldxcTLp4urv2aWrNw3LCwAAFEWRAQAAwMZ98+Nx+fWofuRn62a+MqZ/sGE5AQBwJw3recgzI9vrYqnp2fKX2bslOSXTsLwAAIAeRQYAAAAbtm7XWVm+9ZQu5q411ewiJhMfBQEA1dvA7k2ld8eGupiamffu3L2SlZ1rWF4AAOA2vlkCAADYqIMnrsoXy4/qYiZ7O/nTE2HSwM/dsLwAALCWnZ2dvDKuswQ1rqOLR55LlE8XHdL1GgIAAMagyAAAAGCDzl2+Ie9/t6/IxZdpYzpKx+B6huUFAEBZuTg7yJtP95S63q66+LbDMbJgwwnD8gIAALdQZAAAALAxiTcytPWq0zNzdPGxA0JkQPdAw/ICAKC8fL1c5K2pPcXV2UEXX/zTSflp7wXD8gIAABQZAAAAbEpGZo688/VuuXY9XRfv26mRTBoUalheAADcrWYBXvLHyWFib2+ni//nh8MSfiresLwAAKjtKDIAAADYiNy8fPlo/gE5dSlZF2/dzFdeGd+5yEUZAABqmi6h9eX5RzoU+fv33jf75OKVm4blBQBAbUaRAQAAwEZ8syZC9kTE6WIN/Nzk9SndxcnRZFheAABUpCG9msnIe1vqYqnp2dpSgckpmYblBQBAbUWRAQAAwAas3XVWVvxyWhdzd3WUPz/dU+p4OBuWFwAAlWHKsLbSq32ALnYlMU1mzNkjWdm5huUFAEBtRJEBAACghtsfeUVm/TdcF3Mw2cnrT3aXJv6ehuUFAEBlUUsATp/YRYKbeOviJ84nyT8XHZK8vHzDcgMAoLahyAAAAFCDnY1Nlr9/v08KX0uZNqaTtA+qa1RaAABUOhcnB3nzqR5Sz8dVF99+OEbmrY80LC8AAGobigwAAAA1VEJyuvx19m5Jz9QvCzFuQIg8ENbUsLwAAKgqPl4u8tbTPcXNxUEX/+HnaPlp73nD8gIAoDahyAAAAFADZWTmyDtz9si15AxdvF/nRjJpcKhheQEAUNUCA7zkD5PDtCWUCvrPD0fkSHS8YXkBAFBbUGQAAACoYXLz8uWj+Qfk9KVkXbx1M195eVxnsbPTX2QBAMDWdWlVX154pEORv5d/+2avXLxy07C8AACoDSgyAAAA1DBzV0fInog4XSzAz11en9JdnBxNhuUFAICRBvdqJo/cF6SLpWbkyNuzd8v1m5mG5QUAgK2jyAAAAFCD/LjzrKzcdloX83B1lD9P7SF1PJwNywsAgOrgiYfayD0dAnSxq4lpMmPuHsnM1vcwAgAAFYMiAwAAQA2xP/KKfLk8XBdzMNnJ/03pLo3rexqWFwAA1YXqy/DqhC4S0tRbF486nyT/WHhQ8vLyDcsNAABbRZEBAACgBjgbmyx//36fFL428tLYTtK+ZV2j0gIAoNpxcXKQN6b0kPo+rrr4ziOx8v26SMPyAgDAVlFkAAAAqOYSktPlr7N3S3qmfpmHcQNDpH+3poblBQBAdeXj5SJ/ntpT3FwcdPGlm6Nl457zhuUFAIAtosgAAABQjaVn5shfv94j15IzdPF7OzeWSYNCDcsLAIDqLrCBl/xxcpi2hFJBny09IodPXjUsLwAAbA1FBgAAgGoqNy9fPpp3QM7EJOvibZr7ym/HdRI7O/1FEwAAoNe5VX158dEORf6+vv/tPrkQd8OwvAAAsCUUGQAAAKqpOauOyd7jcbpYgJ+7/N+T3cXJ0WRYXgAA1CSDejaTR+8P0sVSM3LkL1/vkaSb+pmCAACg7PSLE0InPz9f1qxZI8uWLZPIyEhJS0uTevXqSVhYmEyaNEk6dNCPhiiPkydPyty5c2XPnj1y9epV8fT0lJYtW8rIkSNl1KhRYjKZKv0Y/fv3l5iYGKvy3bFjh/bfAAAAVK41O87Iqu1ndDEPV0d565meUsfD2bC8AACoiSYPbSOXE1JlV/hlS+xqYprMmLNH3n2ht9YsGgAAlA9/RUuQkZEhL7/8smzdulUXVxfj1W316tXyyiuvyLPPPlvu1/jhhx/kL3/5i2RnZ1tiiYmJ2m3fvn2yfPlymTlzpnh7e1faMVJSUiQ2Nrbc7wEAAFS8fcfj5KsVR3UxB5OdvD6luzSq52FYXgAA1FSqL8P0iV0l4fpOibqQZImfvHBd/rHwoPzh8aK9GwAAgHUoMpTg9ddftxQY1KyAsWPHSt26dSUiIkIWLVqkzWr4+OOPxd/fX0aMGFHm42/fvl3efPNNbbaEq6urjB8/Xtq1aycJCQmydOlSbXbC/v37Zfr06TJ79myxt7evlGNERUVpz1eef/55ad++fal516lTp8zvFQAAWE/1X/hw3n7Ju/Xn2eK34zpLu5Z1jUoLAIAaz9nRJK8/1V1+/6/t2iwGMzW74bu1x+XJYW0NzQ8AgJqKIkMxdu7cqS2TpPTs2VO+/PJLcXa+tSzBsGHDZPTo0TJx4kS5fv26vPfee/LAAw+Ih4f1owqzsrLk7bff1i7uu7m5ybx586Rt29sfZiZMmKAVBjZt2qTlsnbtWu11K/oY5iKDmVpeqXnz5mX8rwUAACpKQnK6/PXr3ZKemauLT3iwldzftYlheQEAYCt8PF3krad7yGv/3q71ZTBbtuWUBNR11/o3AACAsqHxczHmzJmj3Ts4OMiMGTMsBQYzNbNBzSBQVKFBLVlUFhs3bpRLly5p21OnTtUVBxQnJyf54IMPLEsczZo1q1KOUbDIoN5jYGBgmd4HAACoOOmZOfLXr/dIQrK+AeV9XRprRQYAAFAxmjbwkj8+ESamQssjfbYsXA5FXTUsLwAAaiqKDIWoosGuXbu07b59+0qTJsWPGhw6dKj4+flp2+vXry/Ta6hZBYqdnZ0246A47u7u8sgjj2jbatmjs2fPVvgxChYZgoKCil1OCQAAVL7cvHxtiSS1VFJBbZr7ym/HddL+3gMAgIrTKaS+vPBoR10sLy9f3v9un5yPu2FYXgAA1ERcVS5E9TDIy8uzLJVUEnVBPiwsTNs+cuSIJCfrLwqURjVkVlq1aiW+vr4l7lfw9bdt21bhx1BLLUVHR2vbISEhVucPAAAqjrqgMWt5uOw7fkUXb1jXXV6f0kMcHUyG5QYAgC0b1DNQRvcP1sXSMnLkr7N3S3xSumF5AQBQ01BkKMR80d2aC+9q9L/5Yr2aKWCNK1euyI0bt0ZFBAfrP8wUppZlMjtx4kSFHkOJiYmRlJQU3XHUz6rQ8ssvv0hkZKTk5urXhAYAABUnJzdPPl18SNbtOqeLe7o5yltTe4qXu5NhuQEAUBs8PqS19O7YUBe7mpQur/1nu1y8ctOwvAAAqElo/FyIuvBu1qhRo1L3bdCgge555pkNpTH3UbDm+P7+/tqMCTWzIjY2tkKPUbjps9pn2rRpsnnzZl1hQfV0eOyxx+SZZ54RFxeXO74/AABgnczsXPngu31FZjA4mOy1GQwN63kYlhsAALWFvb2dvDqhi1xLSpeoC0mW+LXr6fKH/+yQt5/pKSFNfQzNEQCA6o6ZDIUkJiZatn18Sv8gYW6qbO7lYI2kpCSrj+/o6Chubm5Fjl8RxyhcZHj//fdl06ZNRWYuqOf85z//kccff1z33wYAAJRfSnq2/HnWriIFBnWhY/qELtK2xa2+TwAAoPI5O5rkjad6SBN/fYH/ZlqWvP75TppBAwBwB8xkKCQjI8Oy7ezsXOq+Tk5OxT6vNOnp6VYf37yPWsKo4PEr4hiFiwyqGDFlyhQZOXKk1uxaFRfUkkmffvqpxMfHS3h4uLz66qsyd+5cQxtEnzp1igbVqDDZ2dmWe3WOAzUR53HNczM9R77ZdEXikrJ0cQeTnUy4t77UMSVIeHiC1Dacy7AFnMewBbX5PJ58n698+3O2XLqWaYllZOXKX2b/KmP61pf2zdwNzQ/Wq83nMWwH5zEqi7kfcUWiyFBITk5OsUWE4hR8vODzSlNwpsCdjl9wn4LHr4hjmHs7mIsQc+bMkW7dulkeq1+/vowZM0b69esnY8eOlbi4ONm9e7esXbtWhg0bJkZR750+EajMP95ATcZ5XP0l3syR77fES1KK/m+Zs6OdTLy3rgTWd+T/I+cybATnMWxBbTuPHU0ij9/vJ4u3J8iZuNuFhtw8kUW/XJWbad4SFsxyhjVNbTuPYZs4j1HdUWQopGDfAfUPuLSL+FlZWWW62F945oE1vyDMr6FmGlTkMZRFixZpMxxu3rwpAQEBJfZ0eOONN7R+DcqSJUsMLTKYTCZmMqDCFPz3U/jfB1BTcB7XHJcTM+WbTfGSkqEvMHi4mmTKgAbSwLd2N3nmXIYt4DyGLajt57F6y08MCJClO+Ll6LlU3WM/7rsuGdki93fwFjs7O8NyxJ3V9vMYtoHzGJU5k6GiB3FTZCjE3L9AyczMtLrIYM2yRcUd/07M+xQsflTEMcw8PDy0W2n69++v7aMKEocOHdJORKMu9AcFBd0xX8Baarqh+qOt/lh36NDB6HSAcuE8rhkiziTI3MW7JbVQgSHAz13++lwvaeDH8gucy7AFnMewBZzHt3TsmC+zlofLul3ndPGfD18XN09fmfpwO62XEqonzmPYAs5jVBZ1jbfgMvoVgSHhhXh5eVndzLng476+vmU+fnJycqn7ql8kaWlpRY5fEcco6+yBwMBAS2HF2ibXAABAZG9EnNbkOTVDv2xh84Ze8sG0PhQYAACohkz2dvLCIx1k/MBWRR5bvf2M/GPhQclR6ygBAACKDIU1a9bMsn358uVS91V9CswaNmxY4cdXPRPMjTgKHr8ijlFWTMsCAKDsft53Qd79Zq9k5egvQrRt4SfvvdhHfLyKzjIEAADVg1oSadLgUHl2ZPsij209eElmzNkjGZnW9WcEAMCWUWQopGXLlpbt6OjoUvc1P64+eAQHB1t1fB8fH/Hz87Pq+KdOnbJsh4SEVOgxLl68KN9++6188sknsnXr1jvmbW4SrYoNderUueP+AADUdsu3npJ/LlLLDObr4j3aNpC/PNtLPFwp4AMAUBMM79tCfj+pqza7oaADJ67Km7N2yc2020spAwBQG1FkKKRz586WUft79uwpcT/VHGPfvn3admhoqG4JozsJCwvT7iMjI7WmyyXZvXu3Zbt79+4VeoyrV6/Ke++9J7NmzZLFixeXmu/Zs2ctMybat2+vLZ8EAACKl5+fL9/+eFzmrI4o8tgDYU3kT0+EibMjf0sBAKhJ7u3SWN58uoc4FfobfuJ8kvxx5g5JSE43LDcAAIxGkaEQVSzo2bOntr1582aJjY0tdr8ff/xREhMTte0hQ4aU6TUGDRqk3efk5MjChQtLbMCxfPlybbt58+ZaIaMij9GuXTtLA+Xt27eX+D6Vzz//3LI9YsQIq98nAAC1TW5unvznhyOydHPRmYaj7guSl8d1FpOJj18AANREXUP95d3n7ykyG/FC3E157d/bJTY+xbDcAAAwEt9yi/Hkk09amiZPnz5du1hfeAmid999V9t2d3eXMWPGlOn4AwYMkMaNG2vbM2fOlP379+seV82VX3vtNUuD5SlTplT4MZydnWXs2LGW9/m73/2uyPtUvv76a1m5cqWlF8SoUaPK9F4BAKgtsrJz5YPv98vGPeeLPPbkQ23kqeFttSUWAQBAzRXazFfen9ZHfAv1VbqalC6v/We7nLp06zs4AAC1iYPRCVRHffr00WYKbNiwQQ4dOqSN3p8wYYIEBATI8ePHtZkDqamp2r7qQr6vr6/u+WqZpcmTJ1uWKPr+++91jzs5Ocnrr78uL774omRkZGhFDVWo6NKli1YUWLJkiZw8eVLbV8VGjx5dJMeKOIZ67pYtW7TlkA4ePCgPPfSQjBs3TismJCUlydq1ay3FC1VM+eijj7TiBAAA0EvLyJZ35+6V8FPXdHG1dPO0MZ1kYI9Aw3IDAAAVK7CBl/z9pb7y51m7JPbarWsDSnJKlvzfZzvlzad6SPuguobmCABAVaLIUIIPPvhAKyTs2LFDLl26JB9++KHucTUScdq0aTJ+/PhyHb9///7y1ltvaTMi1EyCBQsWaLeCVP+Dzz77rMQeCHd7DE9PT5k7d672Po4dOyZxcXHy6aefFtlPFVc+/vhj7VgAAEDv+s1MeXv2r3L6UrIu7uhgL//vsW7Sq32AYbkBAIDK4e/rJh9M61vkM0B6Zo689dWvfAYAANQqFBlK4OrqKrNnz5bVq1fLihUrLA2Wvb29pWvXrtpMBXV/N9TsiG7dusm3334ru3btkvj4eK3pdEhIiAwfPlxbzsjchLqyjqEKCKrx85o1a7Q+ExEREXLjxg2tX4Oa0fDggw9qsxvUTAYAAKB3JTGtyChGxdXZgVGMAADYOG9PZ3nvhd5FZjNm5+TJ+9/uld+M6SQPMpsRAFALUGQohZqt8PDDD2u3sujRo4dERUVZtW9wcLDMmDGjnBlWzDEcHBxk5MiR2g0AAFjn/OUb8ucvf5XEGxm6uLeHs7z9TE9p2djbsNwAAEDVcHNxlLem9pSP5h+QX49etsTz8kX+veSw3EjNkkfvD6IvEwDAptH4GQAAoIxOnEuUP87cUaTAUF9bOqEPBQYAAGoRJ0eT/GFyWLGzFr798bjMWR0h+fn5huQGAEBVoMgAAABQBgdOXJE3Zu2SlPRsXTywgaf8fVofaVjPw7DcAACAMUz2djJtTEcZ3T+4yGMrfjkt/1x0SHJz8wzJDQCAysZySQAAAFbaevCS/HPhQclVayAU0LqZr/z56R7i4eZkWG4AAMBYakmkJx5qI3U8nOTrVRG6xzbvvygpadny2uRu4uxoMixHAAAqAzMZAAAArLB6+xn5eP6BIgWGrqH15a/P9aLAAAAANCPvDZJXJ3QWe3t9H4a9x+PkrS9/ldRCsyEBAKjpKDIAAACUQq2hPH/9CflyxdEij93XpbG88VQPcXFicigAALitf7em8vqT3cXJQX/ZJeJMgvzpsx2SVKivEwAANRlFBgAAgBLk5ObJ5/8Nl0Wbooo89nDfFvLqhC7iYOLjFAAAKKp72wby1+fuEXcX/WCEs7E35A//2SGx8SmG5QYAQEXiWzEAAEAxLl65Kf/v39tl3a5zRR57bEioTB3RrsgyCAAAAAW1beEnf/tNH/HxdNbFLyekysufbJUNu89psyYBAKjJKDIAAAAUkJeXL6u2n5ZXPtkqpy5e1z1mZyfy4uiOMm5AK625IwAAwJ00b1hHPpjWVxr4ueniGVm58p8fjshfv97D8kkAgBqNIgMAAMD/xCely5+/3CVfrTgmWTl5usccTHby2uPdZEivZoblBwAAaqaAuu5aoaF5Q68ij+2PvCK/+XCL7AyPNSQ3AADuFkUGAABQ66llCrYeuCgvfbRZjkRfK/J4o3oe2oWBPh0bGZIfAACo+Xy9XLTPE4N6BhZ57GZalrz/7T75ZMEBSU3PNiQ/AADKS999CAAAoJa5kZolny07IjuPFD96cHjfFjJ5aGtxceJjEwAAuDuuzg4ybUwnrSn0v5cclus3M3WPbzlwSY6eTpBXxneWjsH1DMsTAICyYCYDAACotdTyBNM+3FxsgaFuHRd557le8uzI9hQYAABAherepoH85/f3S6/2AUUeu3Y9Xd74Ypd8tfKoZGbnGpIfAABlwTdmAABQ66Rn5sic1RGy/tdzxT5+X5fG8tyo9uLh5lTluQEAgNqhjoez/OmJMNly4KLMWn5U0jJydI+v2nZGDkXFy/SJXSSosbdheQIAcCcUGQAAQK1y4lyifLLgoFxOSC3ymKebo7w4uiO9FwAAQJWws7OT/t2aSruWdeXTRYck/JS+N9TFKzfl959ukwkPtpLR/YPFZGJBCgBA9UORAQAA1ArZOXmycOMJWbY5WvLyiz7eNbS+vDS2k/jVcTUiPQAAUIvV93GTd567R1bvOCPf/nhc+9xilpuXL/PWn5B9kVdk+oQu0rCeh6G5AgBQGEUGAABg887H3dBmL5yJSS7ymLOTSZ4e3lYG92qmjSYEAAAwgr29nYzo11I6h9STTxYelNOX9J9bos4nyW8/2SpPDW8rQ/jcAgCoRigyAAAAm5WXly+rtp+W79ZG6kYEmrUK9GFEIAAAqFaaNvCSD1/qJ4s3RckPP5/UzcDMzMqVz5eFy55jcfLbcczABABUDxQZAACATbqamCb/WHRQjp1OKPKYyd5OJg4KlUfvD2JtYwAAUO04OtjLY0NaS7c2/rd6SV3T95I6GHVVpn24RV58tKP07UwvKQCAsfhWDQAAbEp+fr78tPeCTPtoS7EFhib+nvLxy/1k7IAQCgwAAKBaCw30lX9Nv0+G3NOsyGMp6dny93n75cN5+yUlLcuQ/AAAUJjJAAAAbEZySqbMXHpEfj16uchjatlitc7x40Nai5OjyZD8AAAAysrF2UGbsdCjbQP51+JDkngjU/f4tkMxEnEmQV4e11k6t6pvWJ4AgNqL4XsAAMAm7I2I05YNKK7AUM/HVd59vrc8/XA7CgwAAKBG6hrqL//+fX/p07FhkccSkjPkz1/+KrP+Gy4ZWTmG5AcAqL2YyQAAAGq0tIxsmb3ymGzae6HYx/t3ayLPjmwv7q6OVZ4bAABARfJyd5LXHu8mPdrFyBf/DZfU9Gzd42t2npVDJ6/K9IldJaSpj2F5AgBqF4oMAACgxlJLA/xj4UG5kphW7JfwaWM6Sq/2RUf7AQAA1FR2dnZyX5fG0q6Fn3y6+JAcPhmvezwmPlX+37+3y7gBIVoPKgd6UAEAKhlFBgAAUONcvpYqS346KT/vvyD5+UUf796mgUwb21F8PF2MSA8AAKDS1fV2lb8800vW7jorc9ccl6zsXMtjeXn5snBjlLaM5MRBraRH2wCxt7czNF8AgO2iyAAAAGqM2GspWnFhy4FL2pfnwlydTTJ1RHsZ2L2pNsoPAADAlqnCwbA+LaRTSD35ZMFBib54Xff4ucs35L1v9knzhl4yfmAr6dmOYgMAoOJRZAAAANVebHyKLP7ppGw9WHxxQWnT3FdendBFGvi5V3l+AAAARmpc31P+/lJf+eGnk7Lop5NFPi+djb0hf/t2nzQL8JLxD7aSXhQbAAAViCIDAACotmJUcWFTlPyiigvF1xbEydEkEx9sJSPvCxITX5YBAEAtpXovTBgUKl1b+2u9Gi7E3Syyj5rZ8P63+ySwgadWbLinfUOKDQCAu0aRAQAAVDuXrt7UZi5su0NxYeg9zeSR+4PovQAAAPA/IU195F+/u192HI6RRZui5NLVlCL7nI+7KR98t1+aqmLDwFbSuwPFBgBA+VFkAAAA1cbFKze1ngvbDpVcXHB2UsWF5jLqvpYUFwAAAIqhZnfe26Wx9OnUSHYeUcWGk9rnrMLUbIe/f79fmvh7yoSBreSejg2ZGQoAKDOKDAAAwHDqS+/iTSdl2+FLkl9CccHFySQP9W4uI+8NEm9P56pOEQAAoMZRBYN+nRtLn46NZGd4rCzcGFVssUHF/j5vvzTZ5HFrZkPHRhQbAABWo8gAAAAMcyHuhlZc2H4k5o7FhVH3BUkdD4oLAAAAZaWWQurbqZG2LNKuo7eKDcX1bLh4JUU+nHdAe3zcwFbacyg2AADuhCIDAACocuf/V1zYUUpxwdXZJMP6tJAR/VpSXAAAAKigYoOa1aAaPv969LLWs0E1gy5M9XH4eP4BWbQxSsYPDJG+nRtTbAAAlIgiAwAAqDLnL9/Qvsyq6fp3Ki6oZZG83J2qOkUAAIBaUWzo3bGh9GofILuPXdZmLhRXbIiJT5GPFxzUPr+pmQ391MwGk70hOQMAqi+KDAAAoNKpL61qJJwqLpTE1dlBhve9NXOB4gIAAEDVFBvu6dBQerYLkD0Rl2XRxpNyJja5yH4x8anyiSo2aMsohci9amYDxQYAwP9QZAAAAJXmbGyyNvJtV/jlEvdxc7ldXPB0o7gAAABgRLGhV3tzsSFOm9lwJqZosSH2Wqr8Y+EhWbTppIwbECL3daHYAACgyAAAACpYfn6+RF1Ikv9uOaWt9VsSd6240FJG9GshHhQXAAAADGdnZ6cVGnq0bSB7VbFhU5ScvlS02HD5Wqr8c9EhrcfW6AeCtQbRalYqAKB24i8AAACokMKCWhJp26EY2X44Rq4kppVaXFCzFob3aykero5VmicAAACsKzb0aBcg3ds2kH2RV2ThhhNyqrhiQ0Kq/HvJYZm1/Kh0b+OvFRu6tvYXZ0eTIXkDAIxBkQEAAJTbxSs3ZcfhGNl2OEYuXU0pdV93V8dbxYW+LSguAAAA1JBiQ/c2DSSstb/sj7wiCzZGyamL14vsl5WdKzuOxGo3NaOhZ7sG0q9zY+kYXE8cHVhOCQBsHUUGAABQJnEJqdpsBXU7G3vjjvurgsLIe1vKsD4ttEIDAAAAal6xIaxNA+nW2l8OnLgqCzeekJMXihYblPTMHNly4JJ2U58DVWPpfp0aSbugumKyt6vy3AEAlY8iAwAAuKOE5HTZfjhWm7Wg+i1Yo2FddxnQvak81Lu5uLlQXAAAALCFYoMqNHQNrS8Ho67K6u1n5NDJeMnLyy92/5T0bNm457x28/Z0lt4dGmpLKrVu5qs1mwYA2AaKDAAAoFjXb2bKzvBYbcbC8bMJkl/8d0edej6u2kg19eWxRaM62hdRAAAA2Bb1Ga9rqCo2+EtySqb8evSy9pnx6OlrJX5mVJ8tf9x5VrvVreMiff73mTG4iTefGQGghqPIAAAALFLSsrQviarHQnh0vJQwKE3H18tZ+nS89SWxVaAPXxIBAABqkToezjK4VzPtlngjQ3YeuTVIJfJcYonPuZacISt+Oa3dGvi5aZ8j1a1ZgBefJQGgBqLIAABALZeWkS17I+K0wsKhqKuSk3vnyoKnm5P06XhrunubFn6srwsAAADx9XKR4X1baLeriWmy48itPl6nLiWX+Jy4hDT54edo7dbE30P6dmos/To3kkb1PKo0dwBA+VFkAACgFsrMzpX9x6/ItsOXtPusnLw7PsfdxUF6tg+Qfp0aS4fguuJgsq+SXAEAAFDz1Pd1k0fuD9ZusfEpWrFBDWq5EHezxOdcvJIiCzac0G5q6U3zDAd/X7cqzR0AUDYUGQAAqAVyc/PkfNxNbdp6xJkE2R8ZJ+mZuXd8nrOTSXq0baD1WegSWl8cHUxVki8AAABsR8N6HjJuYCvtdv7yDUvB4fK11BKfcyYmWbt9++NxadXURzq3qq81jA4J9BEPV8cqzR8AUDqKDAAA2KCU9GyJOp+oFRVOnEuUkxeSrCoqKI4O9tKttb82aiystb+4OPNxAQAAABUjMMBLu00aHCqnLyVrxQZVdLh2Pb3E50RdSNJuimrZ0NTfU0Kb+WpFB3ULqOtOLwcAMBBXDQAAqOHy8/PlWnK2/LT3gpz4X2GhtGnoxVE9FdToMFVY6Nmugbi5MDoMAAAAlUcVBYKaeGu3Jx9qI1Hnk7SlPHcciZXrNzNLfF5+vmgzdNVtw+7zWszL3UkrNpgLD9lWLAUKAKg4FBkAAKhhMrJy5NTF61oxYW/4FTkfnyHpmeqL1KUyHUf1am4fVFdrrterfYD25QwAAACoavb2dtK6ua92mzqivUScuSbbDsXIrvBYuZmWfcfn30jNkj0RcdpNO56dSICvowTWd5Ub+TFa4cGvjmsVvBMAqJ0oMgAAUM2pqePmZY/UvVqbNjcvv1zHCvBzl9BmPtKmuZ/0aNdAfDxdKjxfAAAAoLzUDNsOQfW02/OPdJDDJ+Ml/NQ17bNw9MXrkpN751kK6qNyTEK2dtsVuV+L1fNxldaBt2c7NGvoJQ4m+yp4RwBg+ygyAABQjagvTWdjk/9XVEjS7ktbn/ZOvRWCGntbpo6r4gJFBQAAANQUqgigeoWpm5Kdk6v1cVCfkc230pZWKig+KV3ik241nFacnUwS0sRH+4ysPi+3CvRlZi8AlBNFhjuscb1mzRpZtmyZREZGSlpamtSrV0/CwsJk0qRJ0qHD/2/vTsCjqLIFjh9ISMgChAiyiaJAUBEUlUVAHXFBXEBGZFNQFGFGYUT0oZ+iCOLCoOOCoCCiuACC24gboA4CoogrisriyiZb2ANZ+33nJlVUd7rTnaKT7nT+v/f1VFXX7epm5rxKVZ17z219xN+xdu1aef7552XFihWybds2qVGjhjRt2lSuuOIK6dmzp8TFxVWYYwAAQv/7ojdDm3cckM3b98uWnbo8IJt37JdN2w9ITm5oEzT7ql0jsXCYeVFSoWmjWlItnvM3AAAAYoNe2xZ2nkmXnkXX1Vszs+wRv9pJ5/cte8xIhmCyc/Ll+192mJfl6PRkaVgnpfBVN9UsdVLpeukppgMPAMA/kgwBHDp0SG655RZZvHix1/ubNm0yr/nz58uIESNkyJAhrr9j3rx5MnbsWMnNPVxfMDMz07xWrlwpb775pkyePFnS0tKi/hgAAD+JhP3ZJnmwRZMJO/abpMIW3d65Xw5mu0skWLTObJOGtaRuaoE0OqqanNAgWc4563QzgR4AAABQGei1b/2jUszrb2c0Nu9lHcqVBZ98Lb9tyZKNmbmyeWeuHDiUF9LxtmVmmZeWaPKdM+Lo2knSsE6qSTo4kxCamKDsEoDKjiRDAHfffbedYNAe/b1795Y6derI6tWrZc6cOWZUw6OPPir16tWTHj16lPr4S5culXvuucc8hEpKSpK+ffvKKaecIjt37pTXXnvNjCz48ssvZeTIkTJ9+nSpWrVq1B4DACorPXfqJHPWKATfkQkHs0O7mQlFSlI1OfG4wqHc2nMr49jakpQYL6tWrTJJ4mrVqpFgAAAAQKWXXL2aNG2QJMfWiTfXyKec0ko2bNvnGO2QaUYPl0ZBgUf+2pllXrJGiiUg6tVOlgZ1i5IPViKibop5P44EBIBKgCSDH59++qkpk6Q6dOgg06ZNk8TERLN92WWXSa9evaR///6ye/duefDBB+X888+X1NTUkI+fk5Mj9913n3k4lZycLC+//LK0bNnS3t+vXz/zUH/RokXmt7z33nvme6PxGAAQy/T8uP9griltpKMStI6rJhN0NIJZ7jgQcq+o0mpUN9VOKJzUpLYcc3QNcwMDAAAAIHR6DX1c/Zrm1bVDE/Penv3ZsuaPwvnP9LXuz12Skxd8QulACQjtZKSvr/1MYl0vPbko6VA48kFHXWiZ07QaiVIrNZFREABiAkkGP2bMmGGW8fHxMn78eDvBYNGRDdr7/7bbbjOJBi03NGjQoJCPv3DhQtm4caNZHzx4sNeDfZWQkCATJkwwpYr0+FOnTi32cD9ajgEAFU1uXoHsPZAtu/Zlm5sLfRUmEXJk975DskeXRe/pvvxQCrq6pHVd9SbDGm5tDb1u0qCmueEAAAAAEH56rd2uZX3zsu4R/vhrrxmVbI9ONiVPD5iRy27pvYQ53o4D8tXP2/y2SU2qZicc0vRlrWsiIjXBsZ5oRjIzehlANCLJ4EMfpi9fvtysn3322dK4cWFNP1+XXHKJGcWgZYU++OCDUiUZdESA0j8MOlrAn5SUFPn73/9uEh5asui3336T448/PuqOAQCRphfuWpZoryYGHMmBQEkDHZlQnrRnUoM6yd71W3W9borUqZXE6AQAAAAgwrTzT7Nj0szLl94/OJMOh0c2H5B9We4TEM7j62vjtv1B2ybEV5VazoSEMymRmuCVoNDkhU6UDQDlgSSDD51/oKCgwC6VFIjOTdC2bVuTYPjuu+9kz549UqtWrZC+Q0cGqBYtWkh6enrAdvr91qiKJUuWeD3cj5ZjAICbEkTZufkmMWBeh4qWvq9DeZLlb93nlZ1zZBMoh0N8nA6DLqy7qgkEXTbQEQp1U6VOWpIZJg0AAACg4tGH9Tofmr587c/KKTbywczVtv1AmXRu0pJOWsJVX6Hep+joh2Kv6sXf07ks7HU/baonxnNfAyAgkgw+1q1bZ69nZGSU2LZZs2b2AzPt5a9Jh2C2bt0qe/fuNevNmzcvsa2WZbL8/PPPUXcMABWTnrO0ApAmVHVYsPXKycs/vJ1bILn5+ZKjy7wCyXPs16VuF65b7fMlN7/oPV3X93Q7t3DbJAgO5RYmBnLyTd3Siia5erzUrlHdnsSt4VEp0qCormpdndCNC24AAACgUklNTpCMYxP8JiC0zNIWTTiYJMSBoiTEftm++6AZhV0et0R5+R7Zl5VrXuGQmBBXLDmho0CsV0J8nGO7cF1HX8QXbSdUqyrV4qpKtWqH2yU42hY7TlG7+KpVzAhwSkUB0Yskg49NmzbZ640aNSqxbf369b0+F0qSwZoDIZTj16tXz4yY0AeBmzdvjrpjoGxpWZc/t+4ruVEIFyWeII08vrs9wY/h+5liHym23xP4s0Vv2G97/L/v/bmifVZbx9v6XeZ9x7rZX/RgXaz3PCIbNuyTvPx8iYuLky1ZfxzeV9TeHKboP3RRULSz8C2P6KCnwgf21jELv6PYewWF69Z7ZllwuI3354ve0/0FHlMKKL+goGjpkYL8QO8d3i58z2db99ufrXgP+MuCXqTWSvGuceo91Li61NJlauEyoRpDjQEAAACEpmZKgtRMSZcWxxWvHKH3elpqabfXHHG6riVffd/LlkNRMHpb6Shyfelvi9Q9XJzjpc+q4uKc71U1bex2cd7v2+3iqhZ93rm/sJx41SqazCj8Lntdl1Ud66ZdYfti7wVsV7guuq3/Z5amhrnXemHftcL3Nm7cJwX5+RIfHyfbs/8074nvZwsX5phS9L2FOwtZq4fzM1W8tg/v937Dmc7xTe4cbuqT9Cl50+d3hHiMEPJKxY5RvEGJaiYnyLH1a5DEOkIkGXxkZmba67VrF89EO6WlpXnN5RCKXbt2hXz8atWqSXJysuzfv9/r+NFyDJSdDz77XZ5+Y1WF7O1dce2I9A9AGFRPiPM/aZrXdmFioUZyAvMhAAAAAIh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" ] }, "metadata": { "image/png": { "height": 284, "width": 780 } }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from scipy.stats import norm\n", "\n", "mu = 100\n", "sigma = 15\n", "rvX = norm(mu, sigma)\n", "\n", "xs = np.linspace(30, 170)\n", "ax = sns.lineplot(x=xs, y=rvX.pdf(xs));\n", "ax.set_xlabel(\"$x$\")\n", "ax.set_ylabel(\"$f_{X}$\")\n", "\n", "savefig(plt.gcf(), \"figures/samples_from_rvX_n30.png\")" ] }, { "cell_type": "markdown", "id": "f8f8de97-81a8-4eb6-b345-671ad7317b88", "metadata": {}, "source": [ "This is the distribution of IQ scores we can expect to observe for the general population." ] }, { "cell_type": "markdown", "id": "558734a4-f7a8-4c9b-aeda-0d0a2e0a2607", "metadata": {}, "source": [ "### Random samples from the general population" ] }, { "cell_type": "markdown", "id": "c2be8e52-8386-40e3-9f90-3dcf87458e39", "metadata": {}, "source": [ "We'll use the notation $\\mathbf{X} = (X_1, X_2, \\ldots, X_{30})$ to describe a *random sample* from the general population.\n", "\n", "To get a idea of what these random samples look like,\n", "we can generate $10$ samples $\\mathbf{x}_1, \\mathbf{x}_2, \\mathbf{x}_3, \\ldots, \\mathbf{x}_{10}$ of size $n=30$ from $X \\sim \\mathcal{N}(\\mu=100, \\sigma=15)$ as follows." ] }, { "cell_type": "code", "execution_count": 4, "id": "54023e14-f442-4f0e-ae61-e955c70041d8", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 264, "width": 783 } }, "output_type": "display_data" } ], "source": [ "np.random.seed(5)\n", "\n", "samples = [rvX.rvs(30) for i in range(10)]\n", "with plt.rc_context({\"figure.figsize\":(8,2.8)}):\n", " ax = sns.stripplot(samples, orient=\"h\", s=3, color=\"C0\", alpha=0.8, jitter=0)\n", " ax.set_xlim([70,130])\n", " for i, sample in enumerate(samples):\n", " xbar = np.mean(sample)\n", " ax.scatter(xbar, i, marker=\"D\", s=45, color=\"C1\", zorder=10)\n", "\n", "savefig(plt.gcf(), \"figures/samples_from_rvX_n30.png\")" ] }, { "cell_type": "markdown", "id": "16eccf6f-780a-46a0-b1ac-0bb6d2c99881", "metadata": {}, "source": [ "The diamond markers indicate the position of the sample means computed from each sample:\n", "$[\\overline{\\mathbf{x}}_1, \\overline{\\mathbf{x}}_2, \\overline{\\mathbf{x}}_3, \\ldots, \\overline{\\mathbf{x}}_{10}]$.\n", "\n", "\n", "In the next section we're going to talk about the distribution of the diamond shapes,\n", "which correspond to the means computed from random samples." ] }, { "cell_type": "markdown", "id": "d4e58099-76f6-4341-b89a-6df9cf203b58", "metadata": {}, "source": [ "## Sampling distributions\n", "\n", "The *sampling distribution* of the mean for samples of size $n=30$ from the general population $X \\sim \\mathcal{N}(100,15)$ is the probability distribution of the random variable $\\overline{\\mathbf{X}} = \\mathbf{Mean}(\\mathbf{X})$,\n", "where $\\mathbf{X} = (X_1, X_2, \\ldots, X_{30})$ is a *random sample* from $\\mathcal{N}(100,15)$. The sampling distribution describes the kind of means we can expect to observe if\n", "we compute the mean for a sample of size $n=30$ from the standard normal." ] }, { "cell_type": "markdown", "id": "95bdcd56-a626-4fc8-866e-bb51a35b0702", "metadata": {}, "source": [ "REPEATS\n", "\n", "The math description of the sampling distribution of the estimator $\\tt{mean}$ for samples of size $n$ from the population $X$ is based on the concept of a random sample $\\mathbf{X} = [X_1, X_2, \\ldots, X_n]$.\n", "\n", "The sampling distribution of an estimator describes the estimates we can expect to observe from random samples from the population $\\mathbf{X} = (X_1, X_2, \\ldots, X_n)$. For example, the sampling distribution of the mean is the function $\\tt{mean}(\\mathbf{X}) = \\frac{1}{n} \\sum_i X_{i}$, where each $X_{i}$ is a random observation from the general population.\n", "The sampling distribution of the mean for samples of size $n=30$ from the standard normal distribution $X \\sim \\mathcal{N}(100,15)$ is denoted $\\overline{\\mathbf{X}} = \\tt{mean}(\\mathbf{X})$, where $\\mathbf{X} = [X_{1},X_{2}, \\ldots, X_{30})$ is a random sample. \n", "\n", "\n", "![](./images/Esimators_contexB_blogpost.png) \n", "Figure NN. The sampling distribution of the mean for samples of size $n$.\n", "\n", "\n", "The random variable $\\overline{\\mathbf{X}}$ describes the kind of means we can expect to observe if we compute the mean for a sample of size $n=30$ from the standard normal. \n" ] }, { "cell_type": "code", "execution_count": null, "id": "d8c18ea9-b919-4472-8ad4-914ef8e8f2a1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f63ee25f-31c4-404b-87f6-de98f96ae277", "metadata": {}, "source": [ "## Sampling distributions using simulation\n", "\n", "Another way to think about the sampling distribution of an estimator is to think of the variability estimates you would obtain if you repeatedly generated different samples from the population.\n", "\n", "![](./images/Esimators_multiple_samples.png)\n", "\n", "\n", "Now imagine we generate 990 more samples to obtain a total of $N=1000$ samples from the population model. We can visualize the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\texttt{mean}(\\mathbf{X})$ by plotting a histogram of the means computed from the $1000$ random samples, `xbars` = $[\\overline{\\mathbf{x}}_1, \\overline{\\mathbf{x}}_2, \\overline{\\mathbf{x}}_3, \\ldots, \\overline{\\mathbf{x}}_{1000}]$, where $\\overline{\\mathbf{x}}_j$ denotes the sample mean computed from the data in the $j$th sample, $\\overline{\\mathbf{x}}_j = \\texttt{mean}(\\mathbf{x}_j)$.\n", "\n", "REPEATS\n", "\n", "\n", "To visualize the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\texttt{mean}(\\mathbf{X})$,\n", "we can generate $N=1000$ samples from the population model:\n", "$\\mathbf{x}_1, \\mathbf{x}_2, \\mathbf{x}_3, \\ldots, \\mathbf{x}_{1000}$,\n", "then plot a histogram of the means computed from the $1000$ random samples,\n", "`xbars` = $[\\overline{\\mathbf{x}}_1, \\overline{\\mathbf{x}}_2, \\overline{\\mathbf{x}}_3, \\ldots, \\overline{\\mathbf{x}}_{1000}]$,\n", "where $\\overline{\\mathbf{x}}_j$ denotes the sample mean computed from the data in the $j$th sample,\n", "$\\overline{\\mathbf{x}}_j = \\texttt{mean}(\\mathbf{x}_j)$." ] }, { "cell_type": "code", "execution_count": 5, "id": "830f72bc-d6ff-413d-91a1-ba675c3cedf5", "metadata": {}, "outputs": [], "source": [ "N = 1000 # number of random samples\n", "n = 30 # sample size\n", "\n", "xbars = []\n", "for j in range(0, N):\n", " sample = rvX.rvs(n)\n", " xbar = np.mean(sample)\n", " xbars.append(xbar)\n", "\n", "# xbars[0:5]" ] }, { "cell_type": "code", "execution_count": 6, "id": "ae0def9b-f730-48bd-bed2-7abf20e3bb2c", "metadata": {}, "outputs": [ { "data": { "image/png": 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064z6Z3tIP2xB10prWLl3FOqqp/PSVWZdK73thd5vheX+3mcHo3lvbIlah2hl0HS0DBobLNm+PGrPogpmzZ/Kdb2lR8ESPrBg1pdjUicFvDF21udNFdpeXa5exJkRC1q6LN25zHJbN3pblGTHiqj/8WC/Zbf+IWpNon7ELR0W9ndHbUs0kOLwoFdK50aesER7lyUbmqLBMbVcE2bJpXtElcA7Nvt7lNCJAVVw9+20VHtX1O9bA032dJvpxEBitO2F2qMMD1hSvboV/GpdTDVaEOp1t3k/au+PnBmM2rgkkx7Oa7BJtZMp5LR9azNMWiKft6xaW6h/d0NjdCJG7V+03iRbo7YegxkPfr36P0h7BXKuv8fXYb8yQeuWThJZqxUKPX4ySf/ODQ1YIrXd1w+F2pqnvCrOm5KWU5g/3O89nzVZP9migLu50088+AmNTL8FycByhby/HxOFz7u24hi3PxutYtZ+RGGy3letu8XQORqgVIOQKphuGa3Grhw+T/Zcs93nAgCA6iN4BgAAqEroXPqLGQ2UNXnoXDl89j6vPf1Rn2D1XB4enCB0znq/X1WsZhWcafqqyVQQqkC4sc0rHVVJqWpfBav+ePXq1Twq7FV1ptpchIVoUMGhfg+QFCoWqy8VQKq9gLfiUOVzLuOhdn6w35INIz4wmhUCK/il/Pmoinp40FLLVvu8hkMjllq6h98OUo3RoHo9W6PQTUbbYagaW9Wheg61/lCArTBOAVqic7kFpuC316tKfRS4wd6o+lmvWm0QkskolFNrD++rG0atIPwB/jZ54OiV0qqs1WtVy4Sle/qyVM9iTdf/Vr2gFYp51bRZqHYWQWDJzhVRtbX3nc549XRU4TrsIbKlmizdsdSDNl/equbNN1swovcsH1XcKmhWqNm2xIO43JY/eEinlhlaY5Kq0B7cGc2wflTV29bp08ptfcJDPVU0q7q0oOWioLxzpaXbllq2sMVscNgKvd0++GKY0smLIOqd3LPd0quf4UFqbuvW0SrzTBS0JwKz4YFojdVtvXZV6g72Wzg85O+r3jOFiMmm9qhPtQJI9StOBD64pW5nd26yZPtSS3Us92WqymlTW5WWdq8yD1V9rUA2SFoqiJZ5TvOm5ahl3rncq/3VPiPf87QlUvtYumOFZbc/ZYXhbktp3tJaJxWctnqo78tNrUG0TNX7WQFt82g1+0C/qYW5TmjkMt0Wbtvsy0BtMtRDPFAgrNegcDkqC4/amdiAJZrao1BV24JOQihQbW7zky7+fjR3eusXhde+DoQ5CxtaLMg3e9uYRENrtI16W49oOrmBXl8Hg9aGKJAd7Inu9wErQ0voqgUtcw2smCxE4X2qKWpNo5C9M6qOTybTluvriU4oqR2IqrQ1kJ+qxnVCw0a3rdF9UCGXt0BXGOgLY4XweXy7jPJ9W3noXNpjab3W6041+hUKxdDZg2m1KFFl/QThs09zguea7T4XAADUBsEzAABA1ULn0l9Oe6CsqUPnseGzpfJRxWihYHn1RNZk1LJA4dQEobOm7UGoQre82k8orw48tPJAK6uK3MDyOQVF6uOsPrg7okBXgZkFo1WaoeUHFWRmPBBSqKRQMZHPWrZXoVGLB28eOg0Net9h9bdNDPV5v2O1NfCKYgVKSfMK1KC505Idyzw0T6mVhdqGdG/0f0cBswIt9YZu9Cpsz7YU7A73eaW0V/uqvUVvYImOpRYkOqJqXwWFoQLk0aA9rTCwIariTTZZ0NZlObWf8LYI6eg9VZCoQRbTaa8SVtio3sGq3NYAjT7IoFpGqEWJWi14RXA0TJwH0U0KzQILGhsst/Npz4SDJlWzjniQr/YaXuk8MuRVut6KQ8GbwkXdbu6whN6/RLMl1U4klfZ+wP6eKTBUgNu13Jd1FLCbWftomxOFmmqL4e+XCmYblKt7r2Nva6J2Kc05S7d0Wlbhpd4LtTfp32FB50qvWk4kQivs2GRhOmVBS5uH/x6yj4aD/j6pol0nLTzoVmV0jy8La+n0oNxPZKh9hgJfVR1nhjzgLWg90zJRixSFyloftA6qRUdzFPTmuzd5SKvANtnW4Sc5Eup1rflXJWw6bYnhIa/MNa0LWn/VJkJ9jlu7rJBIWn77U76uqFo6VHV7ZtD7ZVtmwMNtr4zXQJHq5a35aGr15aFBD3WuIhxd57wvc/tSK6gif2inmUJbrQOqoteJmESrV0drEELfCFW9r2Xk1cdq7ZG0ZEuLV8T7QIsjg97POj86MGHUnma0uldhc0LtU6Je50ndVlsND6X7ff3T9DRAZDiiQS77our95pSltK/RMii2s9D2qEpmVTlrHdOgizo5pBM0OmlT3A95y42tHp4HDZqPpFdFVwqfw4Zon1OsXC4PpCuFzl7NPXqySn+TSKcsHMmMDab1XlUIn73FiR422iJ618rrme9zAQBA7RA8AwAAVDV0Lk1hyoGyph86RzwkHg22VIma00Bm/Ts9tFIP5oIHQ5OEztmsV3x6+KZgaGQwqkjUgGdZ9bxt9pDTL+v3fqw9/liFgBoATT14PdCV4dCsvdEChX2D6tXc4NNU0Kj2HT6AnCoeQ7WcGPBQS6GqqTI4qV6zg2bqi9vc4a8l2doeVV737fBK3Sjg0wB+Ka9y9kEJFUYpnPP2ERoULR8FxwqXh/u8DUWiY5kPquYVxmpXoV6yhawHZwW1WlBbi4YWfwneLmG410wBnfpOW6jh2aJQWwO+tXR5Zap+vPdxQ5OH6XmFu/7+KuhLRNW/qmRVRXY+5z2HvVpTy1uVrWpHEjRYumOJtzpQv2Rv1aEgUKGn+kZLZsAHc0y2r7BEKmn5nVuiKnU9Lh9VWud7d3gf4ah/SuDvuwfUOzd7D2e9vwpWbeuT3rIk2bHSg0/vazzQ7aFueuW+llW7DbXH0JuaSltq1f6+PmY1EKBOMgSpqBp6tErVircTo18n8gWvvFcLEH9vVVkdJC2pPtr6twZC9B7ZWneGPRxVWwkNGhha0nt3az1JLVkZ9RTf/rQVdj4dVSk3NkYnFxRiD/Va4O0rOn0dCge2m/X2eQW3BnJUr+hC3xZLpPa0oKHRcj3RiZSgtdOSjY2W9VBUlcHRQH7WlPLKfV8f9W9dQaCgVL2H1faipSu6ukDbl1qQaJtqVBX6Tt+ufHmr6l1Brx6fyXqIr9em+30QTw14qXkYjk4e+IqrARvVA1zrgkJkrZ8KmNXzOZW0XL9CbC37JVGVuQ/SqTYroycn1ApEbSo0LZ0MymctrX7kunogM2xBMh21ilF7DrXHUU92bRHaBoaHLNCVEbpqwSvctbvxptKWVFW6dahrR4XweYkPhql1LkhrOywGumobM2SFdC4K5CcInf2R2SEfSFSDYJZO0kwQPnvVs6680HyWAunouQifAQBYGAieAQAAqh46l6Y04UBZMw+ds1GVooLc4R4LswoSd3olo4evuiRdvYkV/k4UOuejkCwMbLRCMmeJZKMHcT4A35BCoujSfG9XoXwzlbdkLucVu2pX4IGnB91RkKeexwpkPSxTmKqB97IZHxRNlZv5sDDaO7k36resYFKBm3oMt3f5IGtJvT/5jOV7tnmIXRpIUBmbBjRUEDnaUsJfjwK80rIJovlSHKseugry2pZZoGpVBcpWsKTeF1WdalizsCPqDaxB5VravFrWg2PFdKocVqidG7GgdalXn6r3run98FYAg165rTYG+Yx6KKu9hN77VkuqP60GaOxVlXAm6mGs6Q51W9jUZeklK31+9Lp9eSkQzwz/MXRWCbgGElTFqqYzoAr20ep1aW71qurCtq2WaO2KgtjRvs5q7eCDy6lNh6q8NVCi5iEMfXC8ZHOn5fu2eVCeV3g61GfpdJNlG5qjnsfqvayB95JpSzV3+GN93VD1dUtHdJJA66kqlNVjW5XrCrO9mjqInlu9gtWDWtW4jS3eg9zDRlWwD/dEVcEKq1s6vUI+7N1uBYXDncs9YNagfR46N3d52O7z79NVyDpsQVahf9ryCk7Vc0bri6q41XNZlbndT1moSvYlq3yd8irnwdEqd19Oqahq1wegTFuqsS0aCFOBvQYFVPW0XvNon2MNbBju2OSvV5XoXlk+WOxrHgXvCscLGuhP62lDVOVsDWqjkbVENrB82OfvrSqdbaDXCkMKrs2CtqU+YKCWf1IhuCryNQihqqcV5Grf0N8drSsKrv01B36SItS86gSIWoPoBJFOkKQbvII71dDh65VCfR/0U/2rtX7qqoBCEJ2D0fL3bUnNULR4hiypwuhdwud+D5+1nejEVmEkV9ZnXqvZSNTmRm10ihXx40Pn0X2WwuP8SGhJhckVw2e1/tHJIoXhOb93bDU04TMAAAsFwTMAAEBNQufSFHcZKGsuobNCNVWZZvt6PHzzAft0Of2QKmwL3o7A23AM91cMnVVdqp68qnj0/Eyhsip1fdpDnkn5HZmch52q1tXgbxp8LJluVuFtFKgqEBoZitpSeOvYQhSkplTFO2j53Ii3WEgW1C5i0ANuf0xPFJwGy/ewwmDUfkBhX3bLH6LAVq93RK0gGqMKWQVvPlOjbR3GhM7R+1sKnxViqU+0WoN0rvTqzoRe/8CO6H3Ta+nZbonmFq8OV4VrWq0rtByyqjJVoK/QeUnUJsAHZFO/CoXuChwTPnii+tAqWFeVeOB9mNPRe6mgX9PSezOkoFaBcZelVYU8oHYa2ai3ryrWdcJALSoUOOvxiYIlFcqOvt/+XjV5I+Io8FUIqeriIOEV2QUNmNjUZPmeHVHLDr1fCkl7tpplBz2sVPWoDzjY1uWtHdQGw3tK79xk1tppafXVVosOtf7YscmSLV1Rn261tdCghgoW27qisFLTamgcbZfS5+G2V5JrgMvRalb18lW1rXpRp5es8XYVWgc1CGZB1ekKuod6LVQPcYXOqljetsEKGiizS60nUj6oYaiAV++35sMHnNMgiTs9SEy2Lot6havyWU1gFFRrWWU12GOvFZo7LNnaZfnuP0RBeMvSqMWFV8Ar3M9ZUMhamFCbGf1Nv9lIwsLWaJBBLW/vAa1wXMulGLirUr91mZmqxtVv2gPYaH1VC5RgJBcNKhkmPCD3/uCZvPfR1nvlPZ81uKP3g1arjuiEQl7rW3Ob/60P4jmwM+qjXhzAUo/zbTIRbdsqdFe4ndH6OtqCJUhZSidXtJ8YiKqkFUj7SRe1NNEgf5qnfGiJ3KBPTvNYtGv4nIrW1Z5tllTVfKvaoqRKfeb9NY9WwpcC4tGwuFLoHN0ZXTWwa/isqu+CV657UKyAvWIrDsJnAAAWguiTHAAAALvwsGO0Sja2aSowyfRHA4QpIFP1X2bQQ5jphM4Kwjx09uxG1ZDDllWIqXA3M+AhnPeXzQ5bTi0iFGzpeVS5rIBOg4IpZFa7CgV7mRG/NN9D7NGKWlUa5nZu8bBPl+R7gKwwUZXJChmzQ1HvXVXQKkhTaKXWHJorPZf6MevSfQV7HpgpHB/9Gw2CptpJ3ZdKWqjgLnpjLKEqXlWx9kW9hj3c9NYZo5WhqpT2wcjUdmMo6nXsw9aNNxpkKQhVVacepzYhre3Rv9XOQoGWBu3LDnoVs8JFBY/eaqK5PRoYb2BHFB56Rfhg9DpG+2lHP1GvW+8hrZYlqjBWY+BUylt9eJis4N1be0SDCaoy2duW9GyLKlj1rmm559QCQoP06fB8tLWAqj4V3g2qNcaIv6ca9M5fngL30R6+CpX1Xqgdg9oSROFkGAXTut+D+NGB8DKDFg71+HutynYb6omq4VURnE56AKx+0Vo/1MtYlbY+gKMCaIWPxV7bHgBq/RkaDZ1Hl4PmU3wASQW5aqEyFA3qqHXRK5cT3tbE7/eQf8irfn3d7N5gNtI32hYlNfq+56Lpal0qLv/RinO932oj4ZXaar/i73vvaPDeYjbc68vC+zHrndV7qXBX92n91WtTJX7vaGDv713BX5O/B+pUo0rnMG8JBeV68zV9LTsFv6pK1hLV/Glb0TRyI34hgJa32tb4dufrsdaXYe/hrJYTybZ2M92v7Us/WudGB/D0v/MBM0f8BEjUezyq0vZtS9uE1taWtuiqBs1TKqo01mz4fmWg1/Javjo5YaqEHx2YUOujwlgNSuqV8NovKNT+41dDb+uhnvG+S9IVCeoBrV7k/d6v3d8nD5q1bEfbr4zuM31/pm1qNHQu7rPGtODwhZGLToaMhsvRzAf+uyio/uN0i9P2x5d+Fz1/6XkmFe3Lp/dYAAAQF4JnAACACaja1MO5GA+ZvNNqQ5v329X09e9kQ0tU+TdaAT3FTHnv2kSxSjHZZOnWTg/Skg2t3lfYQ7J0k6Wa2r3q1J9HlY6qZE4mvfLXexWrlUBD4+iggarM1POHfjl9qmu0164SNLWJUFgbhj74mAZy0yB5UTuF/igMU4XlaL/ZhPojqx2AgjYFgAoRG0f/Ru0IdNGdh3B5S7QuLb4x3q9a00q2L7NE25KoIlavR+GecmT14dX/ii0eFHqrQngXo2XawWhFqB7X0mkFtaDQvxXeKrRVRWu6xQNF9RpW0Kiezt4bWcG8Kp0V3irL1fLR69B7rqDMfxSep73dhpadB5xKKlWxq/dePawV5ms+9FwNzR7+ea/jzuVRUKp3Tcs9pVBzNNC2IApV1au3scUSLUuiSmItN18O5hXKPg8K0hRIN7VZoqXVB3f00FnBoFfcFkZ7GkfzrEHoEs2d/l77SZXmTn9ssq3Le2yrgjxQH2ZVYjdHldEeSqpiNpWOlq3mcfREiYexep2lAQdHS2AVRup16X3T+uLrt3ocN0RVxKos1v1aJ9Rj3APupAVL94x6KHsbl9zo+56Kpqt1qbj89Vo8PE5YqLJ79QT2AR31vndEIbXmsakjOiHgIb9ZoPcy3TgaWieiwTfD0JIdS6K+zP7eBf6a/D3QuJdLVkcnc4qhp6avZedtMBTiqtVMNNimT0PtPrSQvc1GIdrufD3W+tIUVfXraoH+Pj8h4IP/6UfrnN5fnbwZ/b23tlBltPd1zv2x1YYH3moF0+/vkZaZtifx7jfar7R2eFsV/SJhavHRGe13tD7qOgC11Rkd+NBPLpSFsrqaQScHol1SWBrMM9nUZsnmKLT3djTarnWSYbQFjJaN78+0TRWD7NF9VqlNTFGQ8mrtaJ0fVSj473TVgPZL5X/j++Ni+D+609Dzl55nUtG+fHqPBQAAcaHVBgAAwCQ8mFE2Elu7jcCSbaOXoo9O0wcRU3g52p5hqsrnKJQxryIMRns0p32wsqjHc7KQHNPjWdWP3gpCf6yB+pSd6pmzGUuYBnhrtiATVd4mk40eRqvCNdAAZl4NbXoCM1VaNwVREJcdtnz/9ih0TqhastnDYG8zoFBOl/crOFKlZqMCq1avAFVP4UQq5ZXTuuQ/0bkiag+ybaMFLR3+GpIdyyy9cp8/9nhubBhtNaBq45bRHs8WBXKKxQZ2ju3x7EGrwrmUh2IKsX1Au2KPZw38pypMxXEtHRYqxFTLiETCsju3Re+/QjFNX4O1Dalaeqm/J2qX4AF0ouABv1o7KLRTqxQ9X0GV2qM9nv09V8ha7PGsRHCo27KhWXrZGh/EMMxoAMYRH+TQrD1qt+HVwxqksceS7Q3+fqsthldQa1oKkUcHRFTlc6K13U84FDI5b9NQUGsNtVlRSK2QXQtQ/bSb273Hsw+O2K9Kc7XvaLdk2xI1I7Fs98ZogLmOpZZastp7PHuQ7pXbaQ/SCxm1GdEyVzW72k8o9G73inkPdxXs6XlVHd/QZKmuVVGP595uSyqgbOmwXO/maP60XmnAutEez1rr06v3tyAzbLlNf/DWFXp/TfNc7PGcHbYwk/VB/3wQRbXY0KL3wSYDX6aB5iGdino8q2JZ60eq2YKONm8vk9fJBD/xkY0qbNNpS4aqMk5ZqEps9U1W8b6q+EdPSnhrFu+d3hq12dB7oBYgWt88ANfZCZ1ASEcD+zU0eHjsVzio73m6yQcNVACtZaRqZB9gcbTHczQ4ZGK0x/Ogbx8+Ha1HqaboKgBTexA9RzHcH4qq6zWApwJYVT+rx3My8ME0Uw1LfP3J9xb+2ONZobNOAOh9UqV4ssXb6pTvczx0blGbDZ1MiNpa+KCVWk9Gezz7lqZta7THs1pu+HIp6/Gs5V5st1G+z4rO/qRG22z4Fly2dwt9AMNU+7JSj2ff52m/Umqz4b+xQPutabXOCCxobqHNBgAA84DgGQAAoGbh87gApHnu4bPCnkRTp4WpzGhv4GQUDCU1AJguY09aoEvUFSFVCp81cFgi5QGX1zCqD/JocKWKy2Sh3fKFnYquo3YSCv8UHIfq/dsQVWH6TOe8WjNQSKZB/bzys2G02jEatE4hrAIkD/SaOqIgU+GSQj3NY992S3atiqaXbPDbCrZyGrjO2wzkLPS2HYWoWlgBmga7U7ynamaPLhU6R32JVemc6Fjmlao+uJwCtiAa4DDZusRSSv0aGrwKWAMIFgY04KHaHmTMWtq977OHz/p7rwRuiyq7A1XJqjKzyYNEtRXw1zoauKp9RL4QRv1wO1ZEvZ7VHkEtDpqX+HuQ7dlh6Y4lVvCKZbWSyEXhtLfIGG0hklQP7YIlE8lSX2Kfjqg6XNWmy/dWcxTvm118P5KtS6NB8hRie7V3hwUePLdGrRDUfkHhrCqdtR41t1u2d1vU2sRbfyh8Xu6tL7LdT3vvZQWF3g5G646CbwWwqmpWqwO1uVB1uOatrzsa0FC9jVVF3twerWNaZ/T+6GRAU2cUuiYDS4z0W6jUsmPZaK/iqPey+lUXdu6IOnYv2cOCREcU7mcKFiSbPED2VjN6TvVzbloZ9Yju2+7Be3LpXh4e57Y+6e9lsGJfv99PLCj89PA88CpevRW5kX6v0lVQriC3MNgbVWcHScv17fSBJm3ZHn/sXa4wW8ta7S08zNXtBgsUYKtntyqx1S9b67fWmbQGMGz1sDzXvyOqtFarDoXlmWFLtXV5yK2/8YEC+3utkFT1/5IokFZPbrW/8AB+dDBDBb+jbTDy+Zyl25eOtqMY9u1U672mmVq6xtuRJLTFa9vQeq351b7BK6e1aUcDDO4aOkdXVqiiPqWTBAmd4Bi2IK0BGP8Y5Kpne6KjLaoCLwbJmn6l8DmXjwaadGPbb0QBc3Slg04gaFmofQyhMwAACxPBMwAAQE3C510DkPHTnHn43GCJdrWvyPrfppK6nFzhT9RHVmGZB1wKfNQztVL4nA+iAeda2qPKVQ1QqP6z6SavDFU1dCqdslzvjtH2GoHl+3stkU579awqnD041sB3yq7CvAd8qhBVWKSwVu0q8iMjlmxosPxwzitIFXZ6v1UFkAqr1ENYFcUKlVINlh/os1TXsmgAuTDvlc/WmI4GufP3RZf/q99x0hIaBE+tFvp2RO0nPNxst0THUgvV2kMBqZ7LK6bVr7g5qkxtXzbae3d0ADQFvgp+1V5F4WJTe1RBq1YN6v+sAe06VkTTV/CtCmdVHCvkU8rpbS5Gn0f9thubvIdwqmOZ5XY+bWG60d9DDQSXyA17FXC6rSNqEewtS1T5HPUi9srmhlYPDhW4JoMgGiRPg0Gqv7OCvFSHt4jwnrujAx96z161qND7roRS1bAavHHJKq+Yzu/YGLW4UAWsKqDTjZbd8oQHuaECR1V/ty6xvFo4JEJLq1pc1cOqjh8YsVDtIhQA6n1TZbyH5Ar6A0uETRaOtvdQYK9qcu8dnWr0St58v3oM9/ogk0HXKq9U98EXW1KWUlAcJC275Ul///SeRa1cBqygdaetw0+EFHuT59UbPJexRLLZwmY9/2jVuSrV21f6tlFQtXy6IWoTkWyITgY0NUfr0uiJEmXHXgnf2GyhWtgojA4U9C/xdUPL3FufNLR7sKtp5vu2RstZ7VO0vnnParWwUNW0BinMRwP6+WPSUQsRBbpNTdGgh1rgGmxT/bRH23noRIr/FLK+raS0/PT8uoKhpSOafr41en5tMx7qqvXKSPR+a8DFsGApLVOdSBnRyY6s7w+86lwV8XqdGni0QQN75qP+1qPBr1c063U0tVcIndst1d41GlInLKW2JOr3XWqR8ccguJDMRIP+TRQ+p5st1aKTENFgh2P2Z+OqmvV++pUSxQFOxz3XbPa5AACgtgieAQAAqh4+TxyAzD58TpQudVcYqMpn9XRWdWQUMKnCuGCBDU0cPg8PWCKl6uhkFHqp2lkhowK/zIBf4l9QEJtqsfSKKPSK2nMUomrKphbvx+xVyBo4TpWvCtuSaUvrNShMVkCZSntfWIWZqZZOSzRGAZz3RE79sWo6pXA0X7B873ZLLd1jtFK20ZJL97BEcqtXika9dYeiSlL1rlVIrDCyqcOfV+GqVyIrdM4quOs1C0d74yooUwjo/aaj+Uuq9UL3014RrT650YBmGhxPgwLmLJFS9bdaO3T4vKqndWrpnt7iROG+gnkPthU2q1LTBzwcbf3gLTM0CN6Qh38KI/OZEQ/+CmrVMdRv2d68pTvU51pVywoks96PWkFhNBikKqKHLa+2IApEG1strzYRo4FebmjQf+dV6mqFoopjBYgdK3ygQPUz1uPUTiSv8M7fvxFLdqrCWC0wtvi/VWmcXLmPBW1LfAC6fN82CxpbLb36GT4gYb6nO+qprUBV773WC71mtYlQFftg/2iP4g5vyZBMq/VLNACigvnsUM6S6lms1hMKgBsarKCA1ENetUxRhbD6iTeYdXdbLmHebiXIRANd5nsyvn4ofM6ODnzprT46Oy3V2mW53q1e4Z1Yto+HxtntT3krk9SyvbyyOKewdmTAgga1jOgyy7dYQgPjaVDHxtaoVUUybbnhAUu3qN1Gg+X0XmqdaWr19TY/MmyJ0d7XYTIaLNFPNqgPt7YhnbjxwTzVnkaDfCZKPZWTKVWMa4C+Ya+ITqW1beUs2azqYvWCzo0OpJn37dMbwWhaqs7WlQKav3C0bYreKz9BlPVwNmhQT/WUVwiH2teo5YZXtJtX3Ctg9tYvDVpX+zwY1+vV33t1uvZD6vWuftBl+7WxoXPDmNA3VLCvcLsQjgmC/b9a9SuFzzpRoH1MEFjYqCsy/jh44K6tNKLgWeugVHqu2e5zAQBA7RA8AwAAVDV8njoAmXn4/MfQ2f+lQcI6O3ywMA8wVYU5Gujk1YFhl/A5YWkFaRqsrqC+rNHgcGEh4yGY4mpNx4Oe0QHNouriwAo7NkcDhWnyhYIl2xTSJS3ft9MSCs68x3Pa+zR761gNGqfXp+JP9ZjV4HZqd5FX+4KkFTTw2ujgiBokzqswWxs87PSKULX3aGmLKoetYDlVaqt1x2iLB69c1SGtQs2mJrPRwDscUU/ngVKw5r2KvYVAk1dhe5CXTFs+O+LBqFogKARVO4Gc94IebQuiIHm0ujlQq4GCWhtkPMQN1P7Cw3u1TEhEAxGqQlMNEFRBqnC6Z6slO1dGgaxaaiT7PJRTpXHBw9Mhb3OR9grfwMM5D0fTrVbIDVu4Y0s0qJ6C4/4dXi2cWrmPB5QKSbWk8vmMpVu6rJDdErV/UKX7YI8Fncst1bnK26bk1b9Zr71jedS6wALLqs+zwkcfILHNQ3wfLHCoLwr8O5dZTlXehdDfl/zIUDQInQaC1HukyvXGVm+HUFxHg46llmxfbgVVnyuITuQsP3qCIUy3erCtKmy1T9H7ktaJg1w2avWhQLSl1WzZGg/R80NDUUCuivrhfl8fvR2E+pkrpNTyTDdabmBn1LO4c40v+2zv1tHl3G4JVZRrvrIZK/Rs9QBTJzW85UhucxTSa5klGy0/1O/raJhUJfGgJdVCY/me3rs5nxnw1iKqKlZP7EK2yUKtixpIUL2b1aomn/eWFgr5vUJZYbRC59Y2fy35keh99RYkgRq9aCDPpqinuqqb+7ZH7To0P4WCrwtJhdleEh96j2j1ttYJA/VX98EPtW16tbWnx774w9ywpZeu9vXWB/vTuphUxXybhWphMtwfDdSpdiVZ9YnX8u+MBvPzk07D3id6otA52ucoTG63MJG3YNygqJXCZ82nToxp3hTOa9+lDisKn31g0wlCZz2PT3OC55rtPhcAANQGwTMAAEDVwufpByDTD5/Hhs7+75ZWr/oU/X3x74rGhs8NahzgIVVKPZBVfajKYbUcCJujimEFkQ3LPYhT2wFVCReyQx5MpdUDV5XH6hmrVh+plPe4TXWutMJQXzSImapgQ+WOaUt0LvdBApMaAE9VyZazXG+3tx4o5ApRj+HRHsKqxlQYrLAwHB7yACy9ZI3lh9Vvt8lSy/c2637aK1HVJkFtNFRBaukOS6ajAE7TUn/erOZRPZWLYZZed3Obh4ZqvWC5vAdwqt5VhXdyyRr/t2Y83RG9dv/3aOCu11lsHZLbsdUrhMPGRg/t1GZCoaxZVHmsefWe1Wp30hINaOdhtP5eyznc7o9XwOg9nrMjlu3vtfSSlRYowPaFoYrXnAVq7zBmUMHmaPpNaUul0j7YXzKZsMyOTV5VbskV3tLCc0i9dq1/OhmgXsvqvd21ypItrTay4XdRm5N0k7fWSHat8CA/s+VJSy9ZYYnl+3o7CwXnofc+XuHL06u80y1R3+4gbfliz2lVkStYburwYFEBs/oAZ7o3RWG4qoO1rikhVRjbvixqudLWFa1PqjTXAJBB4AMvJlX53rfdsj1brWHFHh5KZ57+vVf8qu9xesU+Hh7nerZ625jEsr0saO+ynFp15EYsWL6npbpWW05V+pnB0dYw0bwVVJ3d0ua9j0MNbKhQWoF0e5eH/Fq2qkZOdy6N2q3077DQg/Fs1F5G25xCbfUoHx6O2pT4OpbwExlJtUhR2KtBCnUiaHDQB6P0MF/tV7T+pZu8LYaq8RUOe2sabcNa7vpfQ7OvO+qHo7bqutrAT4y0tPr+QO1nQj9xlPdQ19tr+Mae8elqcD6t62Fe1ewZS462EdH7ntey690WneRoaouuAFBLEq1fWm90EkJV2dpmK4TOEw2SOlH4rBNNxRBZV2dE1cuj4XOTBjpU+5bEhKHzVM81230uAACoPoJnAACAqoTPMw9Apg6f8xOGzuMHLKwcPg9HPWkDhVkp78WsCmT1dFarjiDMWEEVk2rvoKBOAwAWsh4AqzNEaFkL25q8WtiDQgWqquL1oKjFUq3RQGhRhaZacqg9REPUwkFRaGOjh6iqfFQVbLKtc3SQwKRXi6ZU9ahK63wu6vGryt2RHq/OVsBq6rOrwmAPrwYtTGqQP1VTNnhQ5+Gpqpez+vvl3l9YwbTmLdGsvtJLLGhr92rTwsBOy3VvsVRLu/dOVj9k9bVWwO6D7ikIU6in16b+1apQTbdYPpex1LI9vKI4t3OrpZas9hYaSb2+Fi0DxX+hv76gVX2Oo1Ddg7ZGDbZoFrTpRey0/FBv1N4jOeRVn2Gg/rmrPRAsDO4YraZVdXnBW4Ekl+012hc44xXgQecKSxZylt2xxcO9wmibhqQq4HVCQBXdGhSxoclSS1ZYmOny15YfGvGQNZcb9vUmtWxPDzULfdt8QES1ylAgGapNid67VKPltNz0esJ81CqjsdXbVyQ0KJ1alqj6uLnDByBUwwcNzmhBh6U68z4P3j94JGP5ZLRskv4eKFzui3r5KhAd2Om9oMMwsKCjM8oiFRKH6uPdYcn2nqhHtVq3dK70Xsf+Pqzaz4PcbN923z6S7UstaF1mYZDyEx6mViG5jKWX7unhu9pyaMDNoHOlV8TnujdFbUC8jUnWQ+AGtfVoUWWzgvWCb09ar9UOJJlWhX2rv3dBa2iFYQ1KmY3u0zbTqEC1PTpBMDJoieERP0mSbl9e6gmd7lpuQUpV90G0LShd1skUtUsp9UcfDWszqkpu9vBdYXuqqdlCDViY07apkyV6o5Iecqdal1qqY4Wvd6qWDpqW+7JLjAyXKpqTapkiCuy13TQ2RQN3+gmplAfXSQ12qFYvFdtbTDxI6i77sxb1/k56JfgfK6VbS60ztN5IsTq6Uug8neea7T4XAABUF8EzAABA7OHz7AOQicNnVSarp2ty4tB53N+PD58LubSHk7q8X4FPUm0v1HIiWGbZ/p1WGNhhqY6WqHWCwj9VHisw7dsRhd0Kpb0Kd4WibMv2bIsGfPMKUA10t9wH2Qt7tluhoHYXGkCt1YPNIBVYdtsWD4B9QMAGVUqr/7AGzxuyIBUNKqhQU2GxV4M2Nnmlp95atQ7IqZK3bZklGtst3/2UDzrn1cQKy5Yst4JaDYR5r9hUta23sxgaMEtHVdgKgr06Nadezw0+WFxCVcuNGlCtwUO90Dq9ylcD5yVX7OttKlTJGowOtphSH1xVmAaBpdQTeGCnpdVKoz0VDfiXCCzXs91D+KC5K6q2Vf9c9fH1nr7tVsiPeCsDD9azI5ZSK5HRdh7Kr31AR+8tPWL5vh1eCZvsWhUF2HpdQbN3DlFIW8jl/LnChoaoundkxBpWP8PCpPou91owMhD1pV6yh6VXdVlm0++tMKCAttHSex7iwaeKrn1AyeZOSy1d5W0Ycj1bvMpZ7UXUYzmpAf1G+1snfYDJ7ZZsbPPnSaSafdmrNUgyqSBRLTGyFjS0WXJZi4fY+YEdXi2dau6w9NI1PiCkBunTepEfHvHgWScOvD+5DwIZWsOK/bz9y8jG3/pAhI2qYu5c7icJsgPdFoQJa9jrmR6mZtTTOV+w5JLV0byo2l0rTj5pyfaVHtBr+apXd4PaYuhFKwxPt1jDmgMtHFH7j+0e4TaufoaHvlpPw2x/dOKipdP7mmvbUHWxqrUTGuwyTHvFsarsffvTyRy9L2of4a1GRgNXy3nlfLJRJzqiAQC17fr6oXYz0ekKSyjgVp9v71te7F+uyDvhJ3O0jepqhaiHeNbCfIdXXavNi8LudNdqnzfv6dzc7AF0qnmJ5QZ3+PwXW1+k2rp8mwhzQ7796iRFsQI6pXYp3nc6rNDeYupBUssfW34lRvG+im06dJFARoF788Shc5X2uQAAoHoIngEAAOZg1yBk7gHIruFzOqpYHR6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" ] }, "metadata": { "image/png": { "height": 306, "width": 719 } }, "output_type": "display_data" } ], "source": [ "with plt.rc_context({\"figure.figsize\":(8,2.8)}):\n", " ax = sns.histplot(xbars, color=\"C1\", bins=40, stat=\"density\")\n", " ax.set_xlim([70,130])\n", " sns.scatterplot(x=xbars, y=-0.01, color=\"C1\", marker=\"D\", alpha=0.1, ax=ax)\n", " ax.set_xlabel(\"$\\\\overline{\\\\mathbf{x}}$\")\n", " ax.set_ylabel(\"$f_{\\\\overline{\\\\mathbf{X}}}$\")\n", " ax.set_title(r\"Sampling distribution of the mean for samples of size $n=30$ from the null population $X$.\")" ] }, { "cell_type": "markdown", "id": "019d6799-7a98-4229-a9dc-8a38f202c202", "metadata": {}, "source": [ "The above figure shows the sampling distribution of the mean for samples of size $n=30$ from the general population model $X \\sim \\mathcal{N}(\\mu=100, \\sigma=15)$.\n", "The histogram shows the \"density of diamond shapes,\" and provides a representation of the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\tt{mean}(\\mathbf{X})$.\n", "\n", "\n", "Using computer simulations to repeatedly generate samples and compute the estimator value allows us to study the sampling distribution of any estimator. We can generate visualizations of the sampling distribution, and evaluate probabilities, and do calculations with sampling distributions. This hands-on experience with sampling distributions is extremely important, because many statistical analysis procedures like hypothesis testing depend on estimators. Indeed, once you understand sampling distributions, many of the statistics applications become very straightforward.\n", "\n", "We'll still look at all the formulas and equations for describing the properties of the sampling distributions (law of large numbers, central limit theorem, etc.), but we'll understand these results much better by working through hands-on simulations. In other words, knowing Python will allow you to check the math instead of taking it on faith. Even better, running various simulations will allow us to study the limitations of the analytical approximation formulas, to understand in what situations they stop being accurate.\n" ] }, { "attachments": { "e0fe8438-a861-4deb-a9a7-5ee855cc1b42.png": { "image/png": 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} }, "cell_type": "markdown", "id": "b1b04f69-8593-4627-bb79-1aef11ed347f", "metadata": {}, "source": [ "### Two ways to work with sampling distributions\n", "\n", "You can use either a math description (analytical formulas) or a computational description (simulations) for the sampling distribution. Although the two descriptions seem very different on the surface, they both describe the same underlying concept. I've compiled a little list of the key properties of the estimator $\\tt{mean}$ to show the correspondences between two types of descriptions.\n", "\n", "\n", "\n", "![math_descr_and_comp_descr.png](attachment:e0fe8438-a861-4deb-a9a7-5ee855cc1b42.png)\n", "\n", "ALT. see [images/math_descr_and_comp_descr.png](./images/math_descr_and_comp_descr.png)\n", "\n", "The two descriptions give us two different ways to do probability calculations. For example, we can visualize the sampling distribution of the estimator $\\tt{mean}$, by plotting the probability density function of the random variable $\\overline{\\mathbf{X}} = \\tt{mean}(\\mathbf{X})$ or by plotting a histogram of the values $[\\tt{mean}(\\mathbf{x}_1), \\tt{mean}(\\mathbf{x}_2), \\ldots, \\tt{mean}(\\mathbf{x}_N)]$.\n", "\n", "\n", "\n", "Suppose someone asks us to compute the probability $\\Pr(\\{ a \\leq \\overline{\\mathbf{X}} \\leq b \\})$, which describes the probability that the estimate computed from a random sample of size $n$ will be between $a$ and $b$. We can obtain the answer using the probability description by calculating the difference in the cumulative distribution function $\\Pr(\\{ a \\leq \\overline{\\mathbf{X}} \\leq b \\}) = F_{\\overline{\\mathbf{X}}}(b) - F_{\\overline{\\mathbf{X}}}(a)$. \n", "Using the computational approach, we can obtain the same probability calculating by computing the \\emph{proportion} of observations in the list $[\\tt{mean}(\\mathbf{x}_1), \\tt{mean}(\\mathbf{x}_2), \\ldots, \\tt{mean}(\\mathbf{x}_N)]$ whose values are between $a$ and $b$. \n" ] }, { "cell_type": "markdown", "id": "daa920c3-f3d4-42a8-9b19-d3873709ef2d", "metadata": {}, "source": [ "### Sampling distribution for different sample sizes" ] }, { "cell_type": "markdown", "id": "b7c0f752-4160-4e1a-9a0c-167b154247e3", "metadata": {}, "source": [ "How is the sampling distribution of the mean affected by sample size?\n", "To study this,\n", "we'll generate samples of size $n=10$, $n=30$, and $n=100$\n", "and inspect their meeans." ] }, { "cell_type": "code", "execution_count": 7, "id": "b7c549bc-0c59-4197-9739-db750ae6a79f", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 259, "width": 685 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_samples_panel\n", "plot_samples_panel(rvX, xlims=[70,130])\n", "plt.gcf().suptitle(r\"Distributuion of the means for samples of different sizes from $\\mathcal{N}(100,15)$.\", y=-0.1, fontsize=14);" ] }, { "cell_type": "markdown", "id": "feea37e5-18f3-4881-9b9d-25187788e812", "metadata": {}, "source": [ "Let's now generate 10000 samples and plot he sampling distribution of the mean for each sample size." ] }, { "cell_type": "code", "execution_count": 8, "id": "40e50cd3-9fdd-4192-9677-5240e5741843", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 232, "width": 669 } }, "output_type": "display_data" } ], "source": [ "from ministats import plot_sampling_dists_panel\n", "np.random.seed(47)\n", "\n", "plot_sampling_dists_panel(rvX, xlims=[70,130], binwidth=1)\n", "plt.gcf().suptitle(r\"Sampling distribution of the mean computed from samples of size $n=10$, $n=30$, and $n=100$.\", y=-0.1, fontsize=11);" ] }, { "cell_type": "markdown", "id": "6db667e1-048e-4b69-a737-a9a587d51efe", "metadata": {}, "source": [ "### Central limit theorem\n", "\n", "The central limit theorem is a math formula for the sampling distribution of the mean. It is not an exact formula, but an analytical approximation that gets better and better with larger sample sizes. \n", "\n", "The formal statement of the theorem considers a random sample of size $n$ denoted $\\mathbf{X} = (X_{1}, X_{2},\\dots X_n)$, where each $X_i$ represents an independent draw from the random variable $X$. Let $\\mu$ denote the mean of the random variable $X$, and let $\\sigma$ denote the standard deviation of $X$. Then the sampling distribution of the mean $\\overline{\\mathbf{X}} = \\frac{1}{n}\\sum_{i=1}^n X_i$ will converge to a normal distribution:\n", "\n", "$$\n", " \\overline{\\mathbf{X}} \\;\\; \\to \\;\\; \\mathcal{N}\\Big(\\mu, \\tfrac{\\sigma}{\\sqrt{n}} \\Big),\n", "$$\n", "as the sample size $n$ goes to infinity.\n", "\n", "The central limit theorem tells us three important facts:\n", "\n", "- The mean of the sampling distribution $\\overline{\\mathbf{X}}$\n", " will approximately equal the population mean $\\mu$.\n", " This means, if we use the sample mean to estimate the population mean,\n", " in the long term our estimates will be accurate.\n", "- The second fact that the deviations of $\\overline{\\mathbf{X}}$\n", " from the true value $\\mu$ will be normally distributed.\n", " No matter what population $X$ we start from (not necessary normal),\n", " the sample means will be normally distributed.\n", "- The third fact is a precise math formula for the standard deviation\n", " of the sampling distribution as a function of the population\n", " standard deviation $\\sigma$ and the sample size $n$:\n", " $\\mathbf{se} = \\frac{\\sigma}{\\sqrt{n}}$.\n", "\n", "Recall the *standard error* is defined as the standard deviation of the sampling distribution.\n", "\n", "\n", "#### Applications of the CLT\n", "Many statistical inference calculations are based on sampling distributions, so the computational approach gives us a completely new perspective to do statistics. Specifically:\n", "- confidence intervals\n", "\n", "- hypothesis testing\n", "\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "323666dc-7159-4c5f-ba07-51e54e5c16ea", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "np.float64(4.713454163708772)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "N = 10000\n", "xbars10 = [np.mean(rvX.rvs(10)) for j in range(0, N)] \n", "np.std(xbars10)" ] }, { "cell_type": "markdown", "id": "71f5b426-812d-45e9-bdcd-9ff4585aec0a", "metadata": {}, "source": [ "Let's compare these observations from the simulation,\n", "to the theoretical standard deviations predicted by the CLT." ] }, { "cell_type": "code", "execution_count": 10, "id": "004edeff-28ec-4aba-9807-1f104c62825e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4.743416490252569" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from math import sqrt\n", "sigma / sqrt(10)" ] }, { "cell_type": "markdown", "id": "546dced8-90ac-4559-90a8-384c3fdd7238", "metadata": {}, "source": [ "Let's now verify the predictions of the central limit theorem for samples of size $n=30$" ] }, { "cell_type": "code", "execution_count": 11, "id": "b820de70-b6e9-4976-8bf2-3c83315414da", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(2.7260339953850257), 2.7386127875258306)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xbars30 = [np.mean(rvX.rvs(30)) for j in range(0, N)]\n", "np.std(xbars30), sigma/sqrt(30)" ] }, { "cell_type": "markdown", "id": "e4e4c532-81a5-40d2-9150-d09ca911a747", "metadata": {}, "source": [ "Finally,\n", "let's check the predictions for $n=100$." ] }, { "cell_type": "code", "execution_count": 12, "id": "1662bf48-c3b5-498a-9c4b-106ca3edf282", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(1.4930938336228587), 1.5)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xbars100 = [np.mean(rvX.rvs(100)) for j in range(0, N)]\n", "np.std(xbars100), sigma/sqrt(100)" ] }, { "cell_type": "markdown", "id": "fabb7fdd-9292-475d-abe9-fde3f2a6be5b", "metadata": {}, "source": [ "We see there is quite close agreement between the central limit theorem formula for the standard error, and the formula gets more and more accurate for larger $n$." ] }, { "cell_type": "markdown", "id": "c974835b-7b80-490d-8666-728672fff710", "metadata": {}, "source": [ "### Verify central limit theorem\n", "\n", "Let's see if the standard errors of the sampling distributions for samples of size $n=10$,\n", "we have simulated are close to the formula predicted by the central limit theorem.\n", "\n", "First use simulation to find the true value of the standard error." ] }, { "cell_type": "markdown", "id": "44a891d7-41e1-45bf-ac6f-4d47b7e413d2", "metadata": {}, "source": [ "## Conclusion" ] }, { "cell_type": "markdown", "id": "9cb8d6a8-b41e-423c-a23a-687e7a4e64ed", "metadata": {}, "source": [ "## Links" ] }, { "cell_type": "code", "execution_count": null, "id": "4db0ea0a-adb1-4b15-82e9-f7bfbb0f6190", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }