{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "options(repr.plot.width=10, repr.plot.height=6.5) # this command just formats the size of the figures. Adapt to view them nicely\n", " # in your browser." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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UuXPB4IAOAnfKYQ/u53vystLW3btu2NFpSVlb322mtjxoypxVAAgNqzfbt+/FF9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\nEAAAAAA0ikAIAAAAABpFIAQAAAAAjfK/QWXan3L7wZCQELULA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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 390, "width": 600 }, "text/plain": { "height": 390, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Visualize the t_n distribution and compare it to the normal distribution, z.\n", "# Blue: Standard normal distribution Z~N(0,1).\n", "# Red: T-distribution with df degrees of freedom.\n", "\n", "df=2; # degrees of freedom in the t-distribution, t_df. df=#datapoints -1\n", "\n", "x=seq(-7,7,by=0.01)\n", "plot(x,dnorm(x),type=\"l\",col=\"blue\", ylab = \"probability density\", xlab = \"T/Z test statistic\")\n", "lines(x,dt(x,df),col=\"red\")" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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EyZMj169EhJSfnPf/7zcMsDAOBBWEwg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\nv3bCZDJVrVrVy8urRIkSkhISEqZMmVKnTp1evXrFx8c/ggoBALi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Q0Eo2NfXcTgVK8lfLUP23i9KjGulQKe3OdNXyOF1Kz+rZunVrk8m0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PPPy8rKtmzZsnjx4tmzZy9evHjLli379+//7LPP2Gw9\nfn0JIYQQ/RQVFUVFXav02odMavsk9nzeSpjZ4CLKAuE3E7w6ZHtgjTnsdGFKObr369twYtcu\nPPwwWCzmyLuOxcKDD97BrtGuMii7tCNz2LljtQQ5TrBfAd9LKLWwBm8lJPZ8k9o+tA9pw6Kj\no+lcGUIImeb0LedWr169ffv2M2fOtLS0nDlzZvv27WP7eQghhJDJ0Nzc3NjYOPYCYb5s0Mzs\n4ExbCyGigQJUxkOogaYeud5IGJsmywfbCtww5i/44QecOHF/7BfVevBBnDiBhgbmSPtwmFhD\nNlbd+SBRghwNNAkIzkflOsAiCBUzbQfNzFGge0gYFRXV2Nj4ww8/GCh9Qggh9z56vkcIIeRe\nUVBQ4Obm5uvrqx2qczvrRvjHzNAcBCF6zqEpCaLLONWDiz5IHJsmzQA/HmyziRcd77vvMH8+\nFi0yTPoGsHgx5s/Xa9co2wz8uPG7Rn2Q2IOLl3EqEcHn0BSE7mYhjpqhboSnztE1n/Dz83Nz\nc6OzRgkhZDqjgpAQQsi9oqioaOzx4JAapV0NJnzlfHTPwSAq3DBjITzqkD0Ly+zgogtTK9Ap\nhiDpVmteZ9eu++nxoNaDD+Lbb/WKFCSjswhqhXZkBxdnBEiQswieHnAewSH5HIwsQL0pHyVd\nUKi1YdR8ghBCpjkqCAkhhNwThoeHDxw4MFYQ7u/GsKbK1WFGKAKBA9ifBBEACbKvezzYVQyN\nErzoiZa83vnzqK7Gpk2GSN6AHngAtbU4f545khcNjRJdxaMXfJBYh2wA8RDux4EVwEwRjrs4\nYESDA93amKioqP379w8NDRkme0IIIfc6KggJIYTcEyoqKoaGhtasWaMbF8jaONyDFiZXg7AO\nIwdxJh5COVqv4KwPxj0P7MgEbx1MbJi/YNcuBATA29sg2RuOtzf8/fXaNWpiA4dISLNGL/gi\n6QrOdKM5AcJyfB+JkY4gHLQwaTPlolC3a3Tt2rXDw8OVlZUGSp8QQsg9jgpCQggh94SioqLg\n4GA7O93ZocrMzrphfttMtCyGLc5YwCwMSyXI4cJtBhbr5mhUkOWBr99+0b1777/Hg1oPPIA9\ne/SKFCRDmguNSjuagSVcuNUjLwxLLWBmhzPNS9DujLoRvvJa8wk7OzuhUEjNJwghZNqigpAQ\nQsg9QSwWjzWcqBswbR+sceTNDMEcU5zBvmgEmsG0Dtm+4x8Pyiuh7IQgYcIFr3PqFOrrsWGD\nQVI3tE2b0NCA06eZIwVJUHZBfmj0gvasUTOYRiHwLIrnmGKGCDWOPNP2QdQNaGPoNUJCCJnO\nmAvCrq4uI+RBCCFkOrt48eL58+fHN5zoMbcs41mpghEPTSGOxUOoQHcrDl7XcEKaBW4oOI7M\nX7B3L1aswNy5Bsne0Dw8sHy5Xg8JOXxwReN3jfogsQXlCnQnQFiAo3HQqIQodbCSW1iObz5x\n7ty5trY2A6VPCCHkXsZcEM6ePXvr1q1HjhwxQjaEEEKmJ7FY7OTktHTpUu1QldVZM8Q/a436\nQLijpRt9MVjZgAIOrNywamyaNFvf80X37sUDDxggcWPZtAm7d0OjYY4UJI1vPuGOMDNYN6Iw\nDsJu9HmitX4lztmgVsFXZepeI/T393d2di4pKTFQ7oQQQu5lzAWhi4vLjh07goODlyxZ8vHH\nH/f09BghLUIIIdOKWCxet24di8UCgB4l+6i8wZJvuQKmDriM0iDMF4Bbj1wvxJrgWr/BvjNQ\nNOtVEJ48iaam+3W/qNbGjWhpwalTzJGCZCha0HdGO2KDMw/REuTyYBuE+ZdRwnGA5Qo0WPHY\nR7ohVwJgsVgRERG0a5QQQqYn5oJQIpGUlpZu2rSprq7ul7/85axZs5544onjx48bITlCCCHT\ngUqlKikpGdsvuq9LBVblbK5NMCKBAlQkQqTGSCOKru9Hnwkbf1h4MH/Bnj0IDISbm0GyNw43\nNwQG6rVr1MIDNktv6FDfgAIVhhMQXIDKtYCNEIdm2atYbJTo3gqJiooqLi5WqVQGSp8QQsg9\ni7kgZLFYa9as2b17d1tb21tvvTVz5sx///vfgYGBy5Yt+/zzz/v6+oyQJSGEkCns+PHj3d3d\nERER2qEmT9YEh8Pm7AtBCER3HS7EQ9iCA8Pon4dx/Qal2RAkTrziDdLSsHGjARI3ro0bkZam\nV6QgCdLs0ZEXYpUYbMXBBATXojUQ3a1CHDJnN8FBk6fbNRoVFSWXy0+cOGGIxAkhhNzL7uCU\nUScnp9///vcNDQ379u1LTU09d+7c008/PWvWrGefffa8Pg1zCSGEkIkUFRUFBAQ4OTkBgAbq\nvC6Jmt81F9J5GMahuZg1H24S5LojzAL2ujmKFvR9D0Ey8+onT6K5+f7eL6q1YQOam3HyJHOk\nIBl930PRoh2ZgzsHofXInQ+3uZilRKVsHrrnoV7NU+fIoAEAgUDg7+9Pu0YJIWQauuO2EywW\ny9vb28/Pz8HBAUBvb++nn366ePHihx56SC6XGyBDQgghU9x1DSdO9prIhs7M4s1YhWUslKM0\nAcEA6pF3435RC3fYLGVefe/e+36/qJZ21+jevcyRNkth4XHDWaN1yAYQD2E5ygJYcArFKWe+\nSecwTvVqY6KioqgbISGETEN3UBCqVKqcnJy4uDhPT8833njD3Nz89ddfb29vLygoCAsL27Vr\n1y9/+UvDJUoIIWRK6urqOn78+FhBWCDrMLcptTaXCxGB4Uqci4fwCs50o9kb8WPTpNkQpOj1\nBWlpU+HxoNaGDf/drlFfJMnRegVnExBcgXORGJEHYb+1udTcBgW6XaPR0dFVVVXUa4oQQqYb\nvQrCtra21157zc3NLSkpqbCwcO3atZmZmc3NzS+//PLs2bNjYmLKysoSEhIKCgoMnS4hhJAp\npri42NraOigoSDtUZnTWDfHr+WgKgB3OWME8FIvrkD0DS+xx7fyYERnkh/Q6X/TUKfzwA9av\nN1j6xrVhA5qa9O1QL6/AiFQ74sJtBhZLkL0Ki61hYYczTctQL0DtEF+ZrutGKBQKbWxsqPkE\nIYRMN8wFYUJCgoeHx5///OfBwcHf/OY39fX1+/btS05ONjExGY1hsVhBQUH034qEEELulFgs\nXrt2LYfDAYCOEdOzPRIuz0GEmRaoxr5oBJrBtB55PuP70ctyYMoFV8S8eno6VqyAp6ehsjcy\nd3csX67XQ0JuKEwdIMsbveCDRAlyOTCNwopqiGdZwEEECZdnerYHV4cBmJqarl69mnaNEkLI\ndMNcEObl5QUEBHz11VcXL1589913582bN2FYdHT0hx9+ONnpEUIImeKKi4vH9osWyoZMOfud\n7FhCxEFThKoEBPfi0iWc8MG454HSLPATwTJlXj09fersF9VKTdXrNUKWCfjxN7xGeAknenEx\nHsJCHIuChh2EMke7IVMOisbOGqWCkBBCphvmgvDEiRNVVVVbt261sLC4TVhAQMBzzz03eYkR\nQgiZ+qqrq9va2iIjI7VDdU5ng4p33JL1w0p4olWO/mgE1iPPFs7OWKaboxpAV4le54uePQuJ\nBKmpBkv/btiwAQ0NOHuWOVKQjM59UPVrR85YbgvneuTHYGUPBuaitUGIE1asBhVPnTP2GmF7\ne3tNTY3h0ieEEHKvYS4Ia2trm5ubJ/zo/Pnz33zzzWSnRAghZLoRGZPzAAAgAElEQVQQi8Xe\n3t6e2i2dKo1G3FXP5qmWQD0LV1AajAV82EmQ4414Fli6OZ1FAOAQwbx6WhoCAjB3rsHSvxvm\nzoW/P9LTmSN568Bio2ufdsQCyxvxEuTwYReMBVdRAmcoF6OezdOIO6HUAHB3d/f29qbmE4QQ\nMq0wF4SPPPLIoUOHJvwoKyvrkUcemeyUCCGETBdisTg6+lqv+UNydr/y2GweV4S1QCEOJCB4\nBP3NKL2u4YQsG7xomFgxr56ePtUeD2rpedYo2xIO68afNeqNhCaUDKM3HsIiHFwN2IegajaP\n3a/CYV3jqKioqH379hkocUIIIfegO+5DOJ5KpWKxWMxxhBBCyE0GBwcrKirGNZzovMSxO2DJ\nuSREILrr0Z4I0Q/Yx4KJB9boYjQqyArA1+N80epq1NRMnfNFx9uwATU10GdjpyAJslxolNqR\nJ9ayYdqEkkSIJGhbge6LQdhvwblkaofCsdcIy8vLBwYGDJc+IYSQe8pPKghramp4PN5kpUII\nIWRaKS8vV6lUq1at0g6V6TLJMO+SC64swDAq52G2N1zqkD0PUaaw1M2RH4SyG/w45tUzMrBo\nEXx9DZb+3ePtjUWL9No1yo+HsgfyCu3IFJZzsU6CHB+4esNFjcqri/DjHEiUPGWarvlEeHi4\nRqOpqKgwXPqEEELuKbc8ou3BBx8c/fujjz7Ky8sb/6lKpbpw4UJVVVViYuJNUwkhhBBmYrE4\nNDTUxsYGANqGTBv7q/l8Xhh4JqhEcRJEGqgakL8O74zNkWaBGwoOn3n1qdSP/mapqUhPx8sv\nM4Rx+OCGQpoF+9XaCz5I3IdtGqjiIaxAySJ2PCsUNaf4axqb0aqAm4W1tbVIJBKLxWNPbgkh\nhExptywId+/ePfr30aNHjx49enNMUFDQ+++/b5C8CCGETHVisfjRRx/VDfJkAxyzYp7NYBDi\nMPwvVL+Ox9pweBBdXhj3PFCaC5f/ZV66sRFnz+I//zFI3veC1FS89hoaG3GLXlBjBElofx/z\nPgBYAHyQkIMn2nAkAcH/h/T/wVBekPm+r20e7TW3LuzEM7MAREVF7dixwwg3QQgh5F5wyy2j\nDdcAeOeddxqu19TUJJfLjxw54jlluv0SQggxovb29tra2tHHUKosWZ2Sf9YOPwTCHmdtYSXC\nQglyXBFsBYFuTu8pKJohSLjloqPS0uDtjYULDZb+3bZwIXx99do1KkiG4gL6vteOLMF3hVCC\nnBAssoM1F+eagnDODvUjPFWmbtdoVFRUTU3NhQsXDJc+IYSQe8ctC8J517z55pvR0dHzrufh\n4WFnZ2fMRAkhhEwlRUVFzs7OixYtAgCFmnWgu96cbyEE3w41KIxBoClMJMi57nxRaRZsl8HC\ng3n19HRs3Gio1O8R69frVRBauMHW/4YO9XXINIVJNALrUCSwhXkQJOZ81oEuDKoBLF682NnZ\nmc4aJYSQaYL5UJkXX3xxwYIFRkiFEELI9CEWi9etW6c7qnp/N5SaSmcHThCiodmHqgQES1Er\nQ/2NDSf4ery43tKCkyenZsOJ8VJTcfw4btEo+Dr8pPEFoS9SOtEoRV0ChEU4ug4ajhAVzg5Q\nAuXdAFgsVmRkJBWEhBAyTfykU0YJIYSQ/4JKpSorKxvdL6rJk7WyuQctTZqF8EBzPxTRCJQg\nlw8fPrx1cwZ/QN9ZOOrRRiIzE+7u8Pc3WPr3hoAAeHggK4s50jEFfWcx2KAd8TCPDx8JcmIR\nNIAhT7Q0CVFhYdLK5mryxnaNlpSUqFQqw6VPCCHkHjHxoTLJyckA3nzzTT8/P+3ft5Glz68R\nIYQQck1VVVV3d3dERIR2qMrqrFfN7vbGiCc6ULIKi+1hU4csX4z7AZJmw3IurPV4LXCq9qO/\nmfas0eefZwizXgTLuZDmwvU32gu+SJIgW4TfhWKRFCVKzyflfqiv47tmXjT9FwBERkbK5fKq\nqiqhUGjgeyCEEHKXTVwQZmdnA9i2bdvo34QQQshkEYvFAQEBjo6OAFA7YHpp8LQz3yEcPkAx\nDj6HlH5cvYhj1zecyIAghXnpy5dx5AjefddQqd9TUlPx3nu4dAmzZjFECpIhzRwtCH2QeBjv\n9OFyAoI/REYonuwIxanD/KhLjagdgJ+Vo6Ojv7//vn37qCAkhJApb+Ito21tbW1tbYGBgaN/\n34ZxEyaEEHLfu67NXb6s28yqyNayIwgr0NmIi3EIqkeuFQQuWKmLGb6KnqMQJDEvnZ4OZ2cE\nBhoq9XvKypWYPVuvXaOCZPQcwfBV7cgFQms4NaAgEaIm/LgCnVeE2Gdr2W1miYKxXaNisdhw\nuRNCCLlHTFwQuri4uLi4mJmZjf59G8ZNmBBCyP2tq6vr+PHjowWhMkNWN8xrcsSPS6HE4flw\nm4fZEuR4I54FE90cWQ44AtgFM6+eno4NG6A9q2bKY7GQkqLXWaN2weAIIMvRzQPbC7ESZHvC\neT7c1Dh0ZSl+cELdMF+ZPlYQVlVVdXZ2Gi59Qggh9wI6VIYQQohRlZSUWFtbBwUFAUCP0qRK\nLrHh24bBzxyVKEqEaAQDTSi5/gXCLPATwWL6zZJKUVExXV4g1EpNRXk5rl5lCGOxwU+8vvlE\n0g8oHkF/AoIrIfYzh00YJLZ8kyo5upUAgoODbWxsysrKDJo+IYSQu44KQkIIIUYlFovXrl3L\n4XAAQNylArvYkTssxFoMVaE2HsImFAPwwFrdBFUvukogYDjhDAAyM8HnI1iPB4lTRkgInJyQ\nk8McKUhGVwlUvdqRJyJYYDWhJAHBx1C7FkMjQuwTcJUsNkq6AJiamq5evZp2jRJCyJR3u1NG\n9USnjBJCCNFfcXHxSy+9pP1bnSNr1Dgct2U3r4QtTvNgF4T5eXjPE5EcWOkmyArA4sBhDfPS\n6elISYGJCXPklMFmIzER6el44gmGSIe1YJtDVginTQA4sPJEZB2y4/ElD3Y2ON0sDGLbspvU\nDl7ZMvYGRwBRUVF//etfjXAThBBC7qLbnTJKCCGETK7q6uoLFy5ERkYCgFqjzu9sYHuol8He\nETUojIeQDU098iLx9tgcaTb4sWBbMCzd3Y39+7FtmwGzvzelpiIuDl1dcHC4XRjbHLxoSLO0\nBSEAXyTtw28ToYlDUB2K7PlBqmWor+HPzW9mqzVgs6Kjo5999tmampr58+cb40YIIYTcDRMX\nhHR2KCGEEEMQi8Xe3t6enp4AcLLPtGv4sAvPLBRRUGejaideasORQXR6I043QT2Eznx4f868\ndE4ObGwQFmbA7O9N4eGwtUVuLn7+c4ZIQQokT0E9BLY5AG/E5+DJNhxJQPDP8bdEqM+Eso8U\n8xLaJTjZhxW27u7uXl5eYrGYCkJCCJnCJi4I6exQQgghhnBdw4k82RWObam1+QUhEtCohCoS\ny47gFVcEW8FRF9O9H+oh8GKYl05LQ1IStK8mTiscjm7XKGNByIuFZhjd+8GLBmAFR1cIJciO\nwl9UUM/BD7lCrxIr819zbJ3yZKwVtrjWfOL55583wn0QQgi5K+hQGUIIIUYyODhYUVGxbt06\n7XAkXSYZ4V3xwJA3rmBfBJbZwkqCHB8kjs3pyIDDWpjaMSzd14fi4ul1vuh4qakQi9HTwxBm\nagf7NZBmjl7wQVIdsq1hsQb+VyEe9sYVT0hGeOObTxw8eHBwcNBwuRNCCLm7qCAkhBBiJAcP\nHlSpVOHh4QBweZhT03uWJ7Bdg1VsFKM8AcEdqO5Egy+uNaDXqCHL1et80dxccDhYu5Y5ckqK\njISFBQoKmCMdUyDNgUatHfkhpRMNHahJQHARDoSyYbMa53h8Tk0vLg0BWL16tVqtrqioMGj6\nhBBC7qLbnTL65ptv+vn5MZ44SqeMEkII0YdYLA4JCbGxsQGAws5BU7MCBxtpEKJwpQyyeAjr\n8LkjFvDgpZvQcwgjHeAn3WZNnYwMJCTAgungmanK3BxxcUhPx4MPMkQKUlD/LHoOgxsCwAFz\nHbGgDlkJeOoX+OAhXDkvnJHvYPtYr5mluAuPzrS2thaJRGKxePS5LiGEkCnmdqeMbtu2DXTi\nKCGEkEkiFou3bNmi/VuZLpMoeXV81pVlUKBiOXxmQ1CArBv70XNFMHNiWHdgAIWF+PprgyV+\nP0hNxSOPoL8f1ta3C+MIwBVBmqktCAH4IkmC7FC8tAzew6i4smKDhM+SNPEWZshMH50JICoq\naufOne+++64RboIQQojxTbxltK2tra2tLTAwcPTv2zBuwoQQQu5L7e3tNTU10dHRADCsZpd2\nSsz5ZmFYYIVKFCZA2IuLl3Di+hcIMyFIYV66qAgARs+qmZ6io8FiQZ8+8oIUdFz3GuFFHO/F\nxUQEH0ThAgtwVkFizmeXdGJIDSAqKkrbLMRwuRNCCLmLJi4IXVxcXFxczMzMRv++DeMmTAgh\n5L4kFoudnZ0XLVoEAAflGNaUznAYEiIM/WfRlIQQCXJsMWsWVugm9H0PRYteBWF6OmJjYWXF\nHDmFWVkhNhbp6cyRghQoWtD3vXY0CytsMUuCnCSEnEXTKvQPB6PUyQHDGlTIASxevNjZ2bm4\nuNig6RNCCLlb6FAZQgghxlBUVLRu3ToWiwVAky1rZXEP2ZheEIKD426YsRiedcjyQSILLN2E\njgzYBsDCjWFdhQJ5edP3fNHxUlORlweFgiHMwg22AejI0I5YYPkgsQ5Zi+HpAWdznGgV4bCt\n6QUWV5MjA8BisSIjI8X6PHskhBByH9K3IBwYGNi9e/eLL7747LPPvvjii7t37x4YGDBoZoQQ\nQqYMlUpVWlo62oFQmSmr1/AV/hDMxFnkJUE0BHkLDlz/AmEGBOuZly4uxsgI4uKYI6e8uDiM\njECfR3mClPHNJ3yR3IIDQ5AnQHgGOY5OGPSHRMNXZuiaT0RHR5eUlKhUKgMlTggh5C6a+FCZ\nG2RmZj711FNSqXT8RYFA8MUXXzCeQUoIIYQcO3ZMLpdHREQAQN0A5+Jg1Uy+aTjWYWQ3zvwJ\nm+uRZwpLd4TrJgzUo78ajnrsF927FzEx0J5cOs3Z2CA6GmlpSEhgiHRcj+Y/YaAeVt4APLCa\nA+t65CdC9DGyH8DI8TDOsRJ+1MVGSAbgYxUZGSmXy6uqqoRCoTFuhBBCiBExPyEsKyvbuHGj\nXC7fsmXLl19+mZub++WXX27ZskUul2/YsGH//v1GyJIQQsh9TSwWL1++3NHREQAKZF0cq0Ib\ny7YgOKLWBpahWFSHbG/EmcBMN6EjDdbzYeXHsO7wMHJzsV6PB4nTRGoqcnIwPMwQZuUHKz9I\ndS8cssHxQkwdslZhsS2snFB7QYgiG8sujhXyZQAEAsGyZcto1yghhExJzAXhq6++amZmduzY\nse3btz/++OPx8fGPP/749u3bjx07ZmZm9uqrrxohS0IIIfe18Y3sRnbLJCO8Hz2g8UML8mOx\nkg1VI4p8Me55oDRLr+NkiosxOMj8QGz6SEyEQoGSEuZIx/Xjzxr1RXIjCllQxiCwFfnww49z\nIRnhjezR7RqNiooq0p7mSgghZGphLghPnjz58MMP+/v733Dd39//4YcfPnnypGESI4QQMkV0\ndnaeOHFC13BCrjQ9KT/PFZhHIJytKUVlIkRNKFFjZB6u9Y1QtKL3BBw3MC+dno5162BnZ8Ds\n7y+2toiMRFoac6RjKnqPQ9GsHc1DtBrKZpQmIaQEleFsjfkaVHP5psfl6FYCiIqKOnHihEwm\nM2j6hBBCjI+5IDQ3N3d2dp7wI2dnZ3Nz88lOiRBCyJSyb98+W1vblStXAkBR5whM8njcDiG8\n0TqEkWgE1iLDE5FmsNVNkGbCwh02SxnWHRlBdjY2bjRs9vedDRuQlcW8a9TGHxYekGZrR2aw\n9URELTKjETiEES+0XhUi18F+hG0CcSeAoKAgW1tbaj5BCCFTD3NBGBoaeujQoQk/OnToUEhI\nyGSnRAghZEoRi8URERGmpqYAVBmyBjWvms/qWoYuFK+Gvy3M65Hni6SxCR1pcNSjjURZGfr6\naL/ojRIT0d8Pfd7wd1yPjrG+hb5IrkeuLcxXw78bxd0rUO3IalDxtGeNmpqarl27dt++fYZL\nnBBCyF3BXBC+9dZbp06devHFF/v6+kYv9vX1vfjii6dOnXrrrbcMmR4hhJD7m0aj2bdvn67h\nhEqjKeys5/CwGiusUApxEkQXUDkAmQ8SdROGf4T8CBz1OCdm715ERsLe3oDZ34/s7RERoe+u\nUflhDP+oHfkgaRCdF3AoCaJSiJdbAOGo5/BQ2AmVBkBUVFRhYaFGozFo+oQQQoxs4oJw6zhv\nv/32okWL/v73v7u6uq5Zs+ahhx5as2aNq6vr3//+90WLFr399ttGzpgQQsh95MyZM5cuXdKd\nKHO4x6RPWTyDPxgCf3T8iM4EBNchew5CrOCom9CRAXNn2AUxrKtUIisLG/R4z3Aa2rgRmZlQ\nKhnC7IJgPnv0aBkrCFwhqkNWIkQ/ojMAHYMiiJ34Jn1KHOkBEBMTc/ny5bNnzxo6fUIIIcY0\ncR/CHTt23Hyxu7v7hiYTlZWVlZWV27dvN0RmhBBCpgCxWLxgwYI5c+YA0OTKLrLtKu04F4VQ\noSIQvrMhSENWEH49NkGaCUEKwGJYt7QUPT1ITGQIm56Sk/H00ygrw7WTXW+BBUESpBmY/Qvt\n2A8pR/F/UXgvEL5KVFwMXn+Yy7n4o93sHBkrhOvi4jJ//nyxWLxkyRIj3AQhhBDjmLggPH36\ntJHzIIQQMiWJxWLdflFgZK+sTjNjYAU8HFGJ7C2IuozT3WgZazgxIkV3OdxeZl43LQ0REeDx\nDJb4/czeHmvXYu9epoIQcEzFmQgMX4WZEwBfpBTh+cs4nQTR18jxcFzfvxySWr7T3itmb3sC\niI6OLioq+t3vfmeEmyCEEGIcExeES5cyne1GCCGEMOnv7z98+PAf/vAHAGgaNGvpr3Liq8MQ\nit6duJAEUS3+7YwALuboJkizwOGDy3RcmVKJ7GzQOwu3sXEjfvtbfPIJTCf+odfhhoIjgCwH\nzk8A4GKOMwJqkZmMx1/Clz9Hb0W47bFC/tqWJjQOYp5lVFTUv/71r97eXltb29stSwgh5P7B\nfKgMIYQQ8t8pKSkxMTEJDQ0FgDyZ3NQij2t9QQRzVHnBxQ9utUj3w7jzYzrSIEgGy4Rh3bIy\ndHcjKYkhbDpLTkZPD8rKGMJYJhAko2PsBBo/pNQiww9uPnA1x/FWEfLsrOWmFiiQAQgLC+Nw\nOPv1OcKUEELIfeK2/3E4TmdnZ2Vl5cWLF4eGhm746H//938nO6uJqdXq3bt3l5eXm5ubJyQk\nRERE3BDw7rvvFhcXFxUVGScfQgghtycWi8PDwy0sLAAMfyerUwouzwV3Hs4hOwUhMtR3oMZv\nbL9oJ7rKsLiAed09e7BuHRwcDJn7fc7BAZGR+u0a3YCzsRjpBIcHwA/ry/AnGeqTIDqILPt5\na654Q9LIX7pLZvYrF3Nz87CwsKKiokR6e5MQQqYKvQrCN9988/XXX1coFBN+apyCUKVSJSUl\n5efna4f//Oc/169f/9VXX9nZ2Y3GnDt3TiwWGyEZQggh+hCLxbrfiB4l57j8HHcOKwprWEMZ\nOP8Bnq1BmiPmC+Cni5blwJQL+3CGRUdGkJWFd94xaOZTwcaN2LYNH38MDud2YfbhMOVCloOZ\nWwEI4CeAXy3SU5D0DnansIa+jzQ/e0iwouocepSwM42Kivrggw+McweEEEKMgHnL6K5du156\n6aVFixb99a9/BfDCCy+88cYba9asAbBx48avv/7a4DkCAL744ov8/PwZM2a89dZbH3/8cWBg\nYEZGxpo1a7q7u42TACGEkDsikUiampqio6MBoKhzBOxMe+6PIXDAuRngrYBPHbLGjpMB0LEX\ngmSwmP6nsqQEvb20X5RZcjL6+lBayhDGMoUgGR17Ry/4YX0tMgPhOwM8Hs5dEiHT3n4EbIi7\nAMTExDQ3N0skEoPmTgghxGiYC8KPPvpoxowZ5eXljz32GICIiIg//vGPpaWl33zzTUZGxqxZ\nswyfJADs3LnT1NS0vLz897///bPPPnvkyJFXXnnl5MmTUVFRPT09xsmBEEKI/goLCz08PLy8\nvAAo02SNKoeGWWz1UjQhOwmiPly8hBPzkaqLVnajqwSOevQV1G6DpP2ijOztERmJPXuYIx03\noKsESt1/sPph/SWc6EVbEkTNyNL4o2EWq1HloNwrBeDl5TV37lx6O4MQQqYM5oLwzJkz8fHx\nlpaWLBYLgFqt1l7fvHlzTEyM9rGhEZw/f14kEvn4+GiHbDb7z3/+84cfflhVVRUbG9vf32+c\nNAghhOhJLBbHxsYCgEqDws5ac4E6CmGmqgocXY/QWmTYw30m/HXR0iyY2MJhDcOiIyPIzsYD\nDxg29Slj0yZkZmJ4mCHMYS1M7CDN1o6cEWAP9zpkpSC0HMdCTZXqdaiz4LMKOqHUAIiKiqIX\nNAghZMpgLgiHh4ednJwAmJmZAZDL5aMfLV269OTJk4ZLbsI0xnvuuef+8Y9/HDp0KCEhYXBw\n0DiZEEIIYTQ4OFheXq7rQHi4x6RfWSDgSUWYg3orWIRhaQ3Sxh4PQnu+aBJYt33bDcC+fRgY\nQEKCAVOfShIToVCguJghjGUKQeINu0ZrkB6OpdawcEOjNAT5fD57QIkjPQCio6MPHDhAP7uE\nEDI1MBeEM2fOlEqlAOzt7W1sbM6dOzf6UUtLi+Eyu4Grq2t7e/vN17dt2/bqq6/u379//fr1\nw4z/CUoIIcQoDhw4oFKpVq9eDUCdIW1j2R0TcHpX4kfkJSB4GNI2HB57gVDZja5iOG5iXnfP\nHkRHg8s1ZO5TCJeL6Gj9do1uROc+KLu0Iz+sb8OhYUjjIbyMvN4gHBNw2lh26nQpgDVr1qjV\n6vLycoPmTgghxDiYC8IlS5bU1NQAYLFY4eHhn332WWlpaV9fX0ZGxp49exYvXmz4JIFrTyPH\nP58c9dprrz3//PNFRUV79PnNI4QQYnhFRUWrVq2ysbEBoNwrq2MJFKEItFWXY38yQmqRYQNn\nFwTpoqXZMLFh3i+qUCAri/aL3pkHHkBWFm5xTvgYh7UwtYU0RztygdAWs+uQmYLQAygLtFEr\nQiFhCVR7pACsra1DQ0MLCwsNnTshhBAjYC4I4+LiDh8+rH069+qrrw4MDERERNja2qampqpU\nqtdff93wSQJASkrK8PDwd999N+Gn77333pNPPqlSqYyTDCGEkNsrLCyMiYkBAMmA2cWBcj6/\nZzV8cEENdRRW1CLDDyms0d+gjj0QrGfeL1pYCKWS9ovemYQEKJVgLN5YHAhSRneNssDyRVIN\n0qMRqIHGF209q3GAz+f8OAjJAIDo6Gg6V4YQQqYG5oLwqaeeUqvVLi4uAJYvX15ZWbl582aR\nSPTII48cOXIkPDzc4DkCABISEt5///2bXyMc9emnn7799tu///3vjZMPIYSQW2lqampoaNA2\nnNBkSbtMLIscrDqC0QNxFAJZ6GtFud/Y+aJd+p4vuns3EhJgbW3I3Kcca2skJGD3buZIx43o\nKh63azS1FeVA7zqskKOoIwRinlWniZUmWwYgJiamvr6+qanJoLkTQggxAr0a04+3bNmyb775\nxhCp3J6tra2uu/EtsNns3/72t0bLhxBCyK0UFhbOmTNn/vz5AIa/k9WqBPLlWDBTU478/8P/\n1CHLEjw3hOqiOzJhYgeHtQyL9vcjLw/Gan47pTzwAB55BP39DLW0w1qYcCHNwsxHAbgh1BK8\nOmSlIORX+HC+01Pdy/6fvfsOi+Jq2wB+7y4svXeQoqhYUSzYEBFLBMTewIJGI0aNGsWSGGOK\nGuunJmpsGLBQFBWlJcauJBYEu2JBwUJHinSW/f7ANF9gNZEF5P799c7MMyf3XsnlvI9z5hzB\n3bt6HQMylBaYt2rVysLCIioqasaMGXL6FUREVDNkvyEkIiJ6K3/NF80sFV/PvayrX9gP7ZGS\nh8KB6HYbIS0wVADRq+r0A9AfKns/+rAwKCigYlh6Ky4uUFBAWJiMsood6tNefY0vgKgFht5G\niDu656PIDikFfRGjoy++nov0UnDWKBHR++JNG8KCgoLg4OBFixZ9/PHHixYtCg4OLigoqNFk\nbystLS0mJiYmJqa2gxARNWhFRUWnT5+umC+KsMwiocIhbc3kHijGyT7ooIzSxzjVGiNfVZdm\n4MUJGI6RPW5gIIYMgbJyDUZ/XykrY8gQVPER/j8YjsaL4yhNrzhqhRGPcFIJJc6wK8apZAcc\n1NEsEiog4tWs0VOnThXJXK6GiIjqtjeaMnr48OGpU6dWbD7xJ319/R07dgwZMqRmgr21gICA\nTz/9FIBUKn3zu548eTJgwIDqn2e5ublvOywRUYN19uzZ0tLSPn36ACgJyLgn0XvWUmDRFNEI\n/QpedxGqBE1L9HpVnXEYirrQ7lXdiABevMAvvyA0tIazv7/GjMGQIXjxAjo61ZVpO0FRDxmh\nMPkIgBWclKEVjyPD4PgV/C2bej5vKbiXoNcyIEM80bhv375lZWXnzp3r16+fnH4FERHVANkN\n4cmTJ0eOHCkUCr28vHr27GlkZJSamnru3LmAgIARI0b8+uuvFdtM1TptbW1ra+u3vcvIyGj+\n/PnVb2B49uzZffv2CQSC/5COiKihiIqKcnBw0NDQQGG56MyLa+oti13QHRkHkTUEDr/CswWG\nCv98+qQFwWAkBKJqhwQOHYKmJvr2renw762+faGpiUOHMHlydWUCEQxGIC24oiEUQqEFhtxG\nyBDsm471w5Hxu4v+9TP6bU/fQYFEXV29R48ekZGRbAiJiOo12Q3h0qVLxWJxdHS0nZ3dnycn\nT548e/bsHj16LF26tI40hBMnTpw4ceLb3iUWi2XeJZVK9+3b9+9SERE1NFFRUVOmTAGAEy+k\nZdKDxjrJPSHFOQe01YT0EU544NVmdyhJRfYZWC6VPWhgILNNoYQAACAASURBVEaMgMJbL4RG\nrygoYMQIBAbKaAgBGIzCNWeUpEJsBKAVRgRikCakDmgrxbnnDkNDdHU8nkqFJ7MxUM/FxWXn\nzp3r16+Xx08gIqKaIfsbwitXrnh6ev69G6xgZ2fn6el55cqVmglGRET1z6NHj+Lj4ytWlCkN\nzEgo14m3Eum1wUXsHw7HuwgVQ6Mx/lhQNP0AxEbQcpAxaHIyTp+Gh0cNZ3/feXjg9GkkJ8so\n03KA2ATpIRVHjdFHCVp3cWQ4HC8i2KAt4q1ECeU6pUEZAAYMGBAfH//w4cOazk5ERDVHdkOo\npKRkYmJS6SUTExMlJaV3HYmIiOqryMhICwuL1q1bo1yK8MzbSvqFrugmzH6C1CFwuI2QFhjy\nt/miwTAYDYGsJ9H+/TA1RY8eNR3+PdejB0xNsX+/jDKBEAYjkRZUcSSEgg0G3caBYXB8grSu\nwuxCV9xW0kdYJsqlbdq0sbCw4FqjRET1muyGsGfPntHR0ZVeio6OdnCQ9Te775pUKo2Pjw8L\nC9u7d++ePXvCwsLi4+O54gsRUV0QGRnp6uoKAL/nKuSVHNHVS+4JMX7rilYGECfgeGuMelVa\n/AQ50TB6g/d+AQHw8ICQ+yT9N0IhPDwQECC70nAMcqJRlFhx1BojH+JXXQi7opUifkvuiVA9\nPYW8UlzIBeDi4hIVFVWjwYmIqEbJfr6uXLkyNjZ20aJFL1++/PPky5cvFy1aFBsbu3LlypqM\n9w+FhYXLli0zNzdv0aLFoEGDxo8fP2HChEGDBrVo0cLCwmLZsmWFhYVyC0NERK8pLCw8ffp0\nxXxRyYGMp9C63Eis2glXEDwCvf6YL/rHZ+dpwVBpAo1OMga9fx+XLsHTs4azNwyenrh0Cffv\nyyjT7AyVJkg/UHHUGM5K0IzH0eFwvIwg1U6IMRM/haZkfwYAV1fXU6dO8flLRFR/Vf6B/mvr\nrLRt23bVqlXbtm2zs7OrWGU0Li4uOzvbwcFh9erVfn5+cgian5/fp0+fixcvCoVCOzu7Zs2a\naWlpCQSC7Ozse/fuXb9+fcmSJRERESdOnFBVVZVDHiIies3p06clEomzszMAyf7MOyKT/AHo\nIc6LwpNh6BmNSa0wXAjFV9WpATAcA8hawDkgAK1bo127Gs7eMLRrh9atERCApdUv5COA4Wik\nBcLcB4AQii0x7Bb2D8eu+djqIs679YHG3Tg9o+Bk0QbrPn36SCSSM2fOvNp5koiI6pvKG0J/\nf///PZmdnX3q1Km/nzl//vz58+fl0xCuWLHi4sWLY8eOXb16tamp6WtXnz17Nn/+/MDAwBUr\nVixbtkwOeYiI6DVRUVG9evVSV1fH7XxxcsEvhnrJTuiIC51hYwTFBJwYi4hXpQXxeBmHlrtl\nDxoQAC+vGo3dsHh6wt9fVkMIGHogcQUK4qFqA6A1Ru6D2zAodoKNCi6m9O7783b9fikJuJ2v\n1krN0dExKiqKDSERUT1VeUMYFxcn5xwyBQUFdezYcffu3cLKPiMxMzPbu3dvfHx8cHAwG0Ii\noloRGRk5Y8YMAOUhGVlCtRNGqqKuuI6gKeh3B4eUoW3113zRAKjbQq2NjBEr5jdyvug75OmJ\nL77ApUuwt6+uTK0N1NoiLRBWXwFoDGcV6NzB4RHotROBoq59Txirpmeo6YVkCL9Uc3Fx2bx5\n88aNG+XzC4iI6N2qvCFs3769nHPI9PTp00GDBlXaDVYQCoU9e/bcunWrPFMREVGFiu0H3Nzc\nAJTuzbgN/Zy+6KH68lckDIfjb5jYCsP/sR+98UTZg+7bBwcHWFnVXOwGx8oKDg7Yt09GQwjA\nyAMpfhUNoQCiilmjI+G/CNv7qr580Ef97k19+30ZSl9aurq6zp079969e82bN5fDLyAionfr\n7RZty87OTkxMzM7OrqE01dDS0nr06FH1NQkJCdra2vLJQ0REfxcZGWltbd28eXM8LVa6n3da\nRz+1H9RxuQOamUDxMU61wZhXpXmXUXAfhrLWFy0rw/79GD++ppM3OOPGISgIZWUyygzHouA+\n8mIqjlpj9COcNITIDk3VcTmlL05p6yvdy8PTYhsbG2tr64iIiOrHIyKiuumNGsKSkpLly5c3\nadJER0fHyspKR0enSZMmK1asKC0trel8f+rbt29YWNju3VV+cOLn5xceHt6nT5+qCoiIqOZE\nRkZWvB6UHs7IEyqFG2qUd8ctBI9C79sIUYOhBXq+Kk0NhFZ3KFvJGPHYMbx4gREjajZ3AzRy\nJHJycOyYjDJlC2h1R+qrbSos4agOozs4OBJONxAg7YFwI41coZI09NVao9x8goionpLdEBYV\nFfXt2/eLL754/Pixqalpx44dTU1NHz9+vHjx4n79+hUXF8shJYBvv/1WQ0PDy8urQ4cOn3/+\nub+/f2hoaGhoqL+//+eff25nZzdp0iQtLa1vvvlGPnmIiOhPeXl5586dq9hwotg/445UP9MJ\n3bTy7yF+BHrdRFBrjBJUPHGk5UjfD6OxsgfdswcDB0JHp4azNzw6OnBzw969sisNPZEWBKkE\ngADCVhh5E8Ej4fQAD7pq5Wf0wl2pfrHfq4bw7NmzeXl5NZ2diIjeucq/Ify7devWVTzm161b\n17Jly4qTd+/enTt3blRU1Pr16xctWlTDIQHA2tr6/PnzkydPvnTpUqVr3tjb2/v6+lpbW8sh\nDBER/d3x48cVFBScnJyQVaoUlx2tZZnSH21wuRNsDCFNwvm++GPT2uyTKEmDwUgZI+bm4sgR\nBAbWdPIGasIEeHggNxeamtWVGY7CgznIPgWdvgDaYPQl/GAIaUc010RMyge9ooP0O8ddR0ap\nk5OTgoLC8ePHhw4dKqefQERE74jshjAwMLBVq1ZHjx5VUPiruEWLFkePHrW1td23b598GkIA\nbdq0uXjxYmxs7MmTJ+Pj43NycgBoaWnZ2Ng4Ozt36NBBPjGIiOg1ERERzs7OysrK0uCUIigc\n1Ncq7YlbCPwITjcRrIlGZuj6qjR1L3Q/gKK+jBEPHICKClxcajp5A+XqCjU1hITgww+rK1PU\nh25/pO6raAjN0FULFrewfyScdiCgzLHXQX3tabkKyhGZyl7GvXv3joyMZENIRFTvyG4IHzx4\nMGvWrL93g6/uVFBwc3PbtGlTzQSrUocOHdj7ERHVHVKpNCoqasmSJQCKf8q4W66X3EPQVS//\nHO6NwNJTGNoGHoKKDeglBcg4jObbZA+6Zw88PCAW13D2hkpREaNHY/duGQ0hAKNxuOcNyWaI\nVAUQtMbomwgahdDPsMNBN/95D7X4B3ot/DKUvYzd3Ny+/fZbqVQqEAjk8huIiOjdkP0NoaKi\nYkFBQaWX8vPzFRUV33UkIiKqT+Li4p4/f+7q6op8iTg665KGQaobNHGlM1roovAZLrfFHxsJ\nZh6BVAq9QTJGTEzEuXPcj75mTZiAs2eRkCCjTH8wIEDm0YqjtvB4hktaeNkJNpq4kuKGixoG\n4vNZyJcMHDgwOTn56tWrNZ6ciIjeKdkNoa2tbUhISGZm5mvn09PTDx482K5du5oJRkRE9UNk\nZKStra2FhQWisiTlgv0GOsWOuI2AMXC+gUB9tDCC7avS1AAYDIdIVcaI/v6wsUHnzjWdvEGz\nt0eLFrKXlhGqQH8oUvdVHBmhnT5a3kTwaPS+hd0ljthvoFNWLsDPWY0aNWrbti03nyAiqndk\nN4TTp09PTU3t0qWLv79/YmJicXFxYmKin59fly5d0tLSZsyYIYeURERUZ0VERLi7uwMo9su4\nV66X1EVob5T/GPcq1hf96/VgaTqyfoGRrH0FpVLs3s3Xg/IwYQL8/CCVyigzGoesn1GSWnHU\nFh43sG8knBKR0NkoP6mL8H65XvFPGQAGDhwYGRlZ06mJiOjdkt0Qjh07du7cuQ8fPpw4caKV\nlZWysrKVldWkSZMePXo0f/78MWPGyByBiIjeV+np6ZcvX3Z1dUVxuehEZoya/vNB0MSl7mit\nhOR03PprP/rUQIiNoO0kY8Tz5/H4McaNq+HgBIwfj6QknD8vo0y7N8TGSAuuOGoDjwzcVUJy\nN7TSxOVngxCjpi86kYnicjc3t0uXLqWnp9d4ciIienfeaGP6devWnTlzxsvLy9bW1tLS0tbW\nduLEiWfPnl29enVN5yMiorosKipKR0enS5cuOPECxeXBenqlvXATe0ah9w0EmKGLLpq+Kk3d\nA6NxEMh67vj5oW9fmJnVdHKCmRn69oWfn4wygRBGY5H6anKpLpqawf4GAkfD+SZ2l/VCsJ4e\nistx4kWXLl10dHS4Qz0RUf0iuyG8cOHC1atXHR0d/fz8rl279vjx42vXrv300089e/aUQz4i\nIqrLwsPDXV1dRSJR8a6MBKnOwy6iziZ5yUgcgZ43ENgWHq/q8m8jLwZGst775efjwAFMnFjD\nqekPEyfiwAHk58soMxqPvMvIv11x1BaeNxAwAj2TkdjZJO+hvShBqlO0K0MkErm4uPAzQiKi\n+kV2Q9i9e/dly5bJIQoREdUvpaWlx44dc3V1RZlU+HNGjIrB0yFQxYVeaFeK23l43hqjX5Wm\n7oFGR6i1ljFiSAhEIgwZUtPJ6ZUhQyASISRERplaa2h0ROqeiqM28HiJ5FLc6YV2qrjwdCiu\nqBgoRGWgTOrm5vbLL7+UlpbWeHIiInpHZDeEenp6qqqyVoQjIqKG5+zZswUFBR988AFOZ4sK\nyoIN9Mt64Tr8x8D5BgKaoI86jAFAKkHqHhhNkD2inx88PaGsXNPJ6RVlZXh6yp41CsBoAlL3\nQCoBoAbDxnC+gX1j4Hwd/mW9EaSvLywsw+nsAQMGFBQUnDt3rqaDExHRuyK7IXRycrp06ZJE\nIpFDGiIiqkciIiIcHBy0tbWLd6UnSHXiOyt0NMvORuoQdLuNg20x9lXdixMoSYORR7WDAQ8f\n4swZ2Vul07v14Yc4cwYPH8ooM/JASRpenKg4agvPWzgwBF2zkdrRJDveXuGRVKf4p3QtLS0H\nB4fw8PAaj01ERO+I7IZwxYoVGRkZc+bMqWp7eiIiapjCw8Pd3d0hkQrDMuKUDRKHQ4zz/dAp\nE2fLUNgSQ1/VpfpDzxWKBjKG27ULbdqgY8eajk3/0LEjbG3x008yyhQNoOeKVP+Ko5YYJkFx\nJs71QycxzicOQ6yygfBoBiTSgQMHHj16tMZjExHRO6Igs2L58uW2trabNm0KCgpq3769qamp\nQCD4e4Hfm0w1ISKi98vdu3fv37/v5uaGczkK+aXBZnqCXrgK/83wvo4fbTBYDA0AKMtB+mG0\nCpAxnEQCf3/Mny+H5PS6SZOwZg2+/hoiUXVlxhNx2xPNcqCgJYaGDQZdxz4PTJuBbQKngUEG\n+sOf3sP5nIEDB86bN+/u3bstWrSQ1w8gIqJ/T3ZD6O//6q8DMzIyjh8//r8FbAiJiBqg8PBw\nGxub5s2bFy+//1yqfbOr2M404yryPkDrrYgYjUOv6tKCIVKHnpuM4aKikJ6OsWNllFFNGDcO\nixbh55/hVu2/Jj03iNSRFgzTqQBsMT4Yw6bhh1Lk2Zlm3LLXT3yibeqb3nx3cxsbm/DwcDaE\nRET1guyGMC4uTg45iIiofjl69Ki7uzvKpYLQjFhly0fDoYuTg9AjEWHK0LJG/1d1KX4wGguB\noozhfH0xbBj09Ws6NlVCTw9DhmDnThkNoUARRmOR4lfREFqjvzK0kxA+CD0ScfLRiFGxEQZm\noY9R3nTgwIFhYWE+Pj5yyk9ERP+B7Iawffv2cshBRET1SFZW1u+///7tt98iOlcxryTQTF/R\nSRqHvZ9h0XUsbAMPYcXzpeAeci+g+Y8yhktJQUQEuKF5LZoyBS4uSEmBsXF1ZSYf4ukGFNyB\nakshFNpgzDXs9sSqUVgpdh4ZpK8/7Nl9ROe6u7tv3LgxKytLV1dXXj+AiIj+JdmLyhAREb0m\nIiJCU1OzR48exTvSEqVaN7uL2xk/V4OgC4ySEN0Of+wwkeILDTuot5Mx3E8/wdwczs41HZuq\n5OwMc3PZS8uotYVGB6T4VRy1w/gkRNtDXw0CW8PnN7qLE6VaxTvTHBwctLS0IiMjazo1ERH9\nd2/aEBYUFAQHBy9atOjjjz9etGhRcHAwFx0lImqwwsPDXVxcFIQiwZGMK8oGD0ehAJEj4XQH\new3QygQdAEBahtS9MJ4sY6zycvj6YvJk/HPFMpIrgQCTJ8PXF+XlMiqNP0TKbkjLAJigowFa\n3UXgCPQqRNTDkbiibCAIzRAJhAMGDAgLC5NHciIi+m/eqCE8fPiwpaXlmDFjVq1atXXr1lWr\nVo0ZM8bS0jI0NLSm8xERUV1TWlp67NixQYMG4XyOYm5xsIGBei/pDYR4os817Pnr9WBWFEqz\nZG8/eOIEkpIwaVJNxyYZJk1CUhJOnJBRZuSJsmxkvZrf2w4TrmHPWPS9jgPqTtJAAwPF3JKK\nWaM///xzSUlJjccmIqL/RnZDePLkyZEjR+bk5Hh5ee3cuTMsLGznzp1eXl45OTkjRow4deqU\nHFISEVHdcebMmfz8/A8++KBoZ3oitOOcxC31HzaCjgWys/HY9s/96JN9oT8UCjoyhtu+He7u\nMDGp6dgkg4kJ3N2xfbuMMgUd6A9Fsm/FkS3GZuOxBbItoNdKP+FaL3EitIp2pA0YMKCwsPDs\n2bM1HpuIiP4b2Q3h0qVLxWLxxYsX/fz8Jk+ePHDgwMmTJ/v5+V28eFEsFi9dulQOKYmIqO44\nevSoo6OjloamIDTjkrJhwghk4PBY9L2OPU3QRwNmAFCSgswImMiaL5qaiiNHMG2aHGKTbN7e\nOHIEyckyykwmIzMCJSkANGDWBH2uY48HnNNxKGEkLisbCg+na6lrOjo6cod6IqK6T3ZDeOXK\nFU9PTzs7u9fO29nZeXp6XrlypWaCERFRHRUeHj548GCcyxHnlQQa6Rs4lt1HlAccb2F/O3i9\nKkrxg7IFdGStE+PrCwsL9OlT05npjfTtCwsL2UvL6DhD2eJvS8t43cL+seh1H1EGvcoCjfUV\nX5bifM6gQYPYEBIR1X2yG0IlJSWTKmbymJiYKCkpvetIRERUd12/fv3Ro0fu7u6FW9IeQftq\nP3Fj7Zud0FyKy4CgJYYCAKRI9oXxh0C168RIJNixA1OnQsglr+sGoRBTp2LHDkgk1dYJYPwh\nkn0BKYCWGAoIJLjUCc0ba92M6yt+DO3CH9MGDRqUmJh4/fp1+WQnIqJ/R/YzuGfPntHR0ZVe\nio6OdnBweNeRiIio7goNDW3Xrp2VuaUoIuOCiuHjkXiMfRPQ/yr8WmOUAlQA4MUpFD2Gsax1\nYqKikJzM5WTqlkmTkJwse09I40koeowXpwAoQKU1Rl2F33j0T8DexyPxu4qhKDzDytzS1tb2\nyJEj8ohNRET/luyGcOXKlbGxsYsWLXr58uWfJ1++fLlo0aLY2NiVK1fWZDwiIqpbwsLCBg0a\nhFPZCgWlAab6lg6FmbjqiuaPcNIOf7R2yTug5wYlUxlj/fgjRoyAgUFNZ6a3YGCAESPw448y\nypRMoeeK5J0VR3aY9Agn3dD8Ba5ZOhQGmOorFJTiVPbgwYM5a5SIqI5TkFmxevXqtm3brlq1\natu2bXZ2dkZGRqmpqXFxcdnZ2Q4ODqtXr/57sZ+fX00lJSKi2vbs2bMrV65s27at4Nu0Z1Ld\nuEGKxqrn28H+KQ7qoqkZugJAaQYyDqN1iIyxEhLw8884d04OsentfPwxevbE/fto1qy6MpOP\ncGsESjOgqN8I3fTQ/CkODYD9c9WLce5ODzfomm1OG/zF4GXLlj158sTc3Fxe6YmI6O3Ibgj9\n/f0r/kd2dvZrm0ycP3/+/Pnzfz/DhpCI6D125MgRMzMzuzbty37+/ZyqdfJQ5MBvESZdw+SO\nmCqo+GIwxR+KhtB1kTHW1q1o2xbdu8shNr2dHj1ga4sdO/DPv/N9na4LFA2R4g/zeQDaY+IV\nbB8P30n4qWCY07ntBuN/ftghuJuZmVlYWNj06dPlFJ6IiN6S7IYwLi5ODjmIiKjuCw0NHTx4\nMI69EBRLglvq23TNSsULW5TeRdIf+9FLkbwDJlMgEFU3UGEhdu3Cd9/JJTW9vRkz8Nln+Ppr\nqKhUWSMQwWQKknfAfC4gaI+JJ7HEBRJlZFt0ywq20p9w5x6OvRg0aNCRI0fYEBIR1VmyG8L2\n7dvLIQcREdVx2dnZZ86c8fHxyV+b9gS6V0YoGCgeG43et+DfDK7qMAGA7NMofCh7+8GgIJSX\nY+xYGWVUW8aOxcKFCAqSseSPyWQkfovs09DurQajZnC5gZ9Gwum0wrErI8bc/1bX/Pu0wT6D\n3d3ds7OztbW15ZWeiIjeAlf6JiKiNxIZGamqqurUxVH5dMZJdcO8odJ72OeB7ndwyA4fvip6\nvhV6A6FkJmOsTZvw4YdQVa3pzPQvqariww+xaZOMMiUz6A3E860VR3b48A4OeaD7Pex9OUR6\nUs1Q+XSGUxdHVVXVyMjIGs9MRET/ChtCIiJ6I6GhoW5ubgoRueVl2N9cz8Y2sTl0VRCjDO1m\ncAOAkhRkhMJ0moyBzp3D1avgHMI6buZMXLuGf64UUAnTacgIRUkKgGZwU4a2CmKaQ695u8T9\nNnrlZVCIyHV1deXmE0REdRYbQiIikq24uPjnn38ePHhwwQ9pd6AfM16ULtw/EQNisbM9vIQV\nHyAk74SSOXT6yRjrhx/g5oYmTeQQm/49Kyu4uuL772WU6faHkiWSfQEIodAeXrHYORED0oX7\nY8aL7kC/4Ie0IUOGREVFFRcXyyM2ERG9JTaEREQk26+//lpSUuLSrZ/KpaxILUNF97J0HO8P\noxRcezVfVCpB8g6YekNQ7ZPlyRMcPoxZs+QTm/6TWbNw+DCePKm2SADTj5C8HVIJADt8mIJr\n/WGUjuOK7mWRWoYql7Jcu/cvLS09fvy4fFITEdFbYUNIRESyHTlypG/fvsqhhUXlopBOumZN\nYj9Ah2cItoKTLpoBQGY4StJg/KGMgTZtQosW6NNHDpnpv+rTBy1ayP6S0PhDlKQhMxyALppZ\nwekZgj9AB7MmsSGddIvKRUqHC/r06RMaGiqPzERE9JbYEBIRkQwSieTo0aPDhg0r3JJ2Q2R4\nbZLgEfzHo/dNBHXER6+Knm2G4Wgo6lU3UH4+du7E7NkQCOQQm/4rgQCzZ2PnTuTnV1emqAfD\n0Xi2ueKoA6bcQMB4OD2C/7VJghsiw8ItaUOHDg0NDS0rK5NHbCIiehtsCImISIbo6OjMzMzB\nnQao33lxUNfQ+IM8VTy1wmMhFFtiGAAUxOPFcZjNkDHQ7t0QibjbRH0ydixEIuzeLaPMbAZe\nHEdBPIBWGC6CkhUSVfHUyCXvkJ6h+p0XQzq7vHjx4rfffpNHZiIiehtsCImISIbDhw87Ojqq\nHZDkQDm0v5ai3i/j0f8GdraHlwhKAPBsMzS7QKNzdaOUl2PDBkybVt1e51TXqKhg2jRs2IDy\n8urKNDpD0x7PtwAQQak9vG5g5zj0E+v8crifVg6U1Q5IevbsyVmjRER1EBtCIiKqjlQqPXz4\n8JAhQ8p8Uy8rGj2aKH2Mfe6weo4rHTEVACR5SPWX/XowPByJiZghq4zqmhkzkJiI8HAZZWYz\nkeIHSR6Ajpj6HFcGofFj7Hs0SXpJ0ajMN3Xo0KGHDh2SSqXyyExERG+MDSEREVXnypUrSUlJ\no9q4qSe/DDA1sur5uAtMCnDUCk56sAGAFH8IVWAwUsZA69Zh7FgYGckhM71LRkYYOxbr1sko\nMxgJoQpS/AHowcYKTgU4ag/jxg6Je82M1ZNfjmnjnpSUFBsbK4/MRET0xtgQEhFRdQ4fPty5\nc2f1PYLn0IgcrZquFOAF5xsI6ARvAIAUzzbB1BtCpepGuXQJ585h7ly5RKZ3be5cnDuHS5eq\nqxEqwdQbzzYBUgCd4H0DARPRJ01p389jVJ5BQ22PtHPnzocOHZJTZiIiejNsCImIqDqHDh0a\nPnSYKCT1jIpRwbjSclxohWeKUGuBoQCQ9TOKHsF0moxR1q6Fiwtat5ZDYHr3WreGiwvWrpVR\nZjoNRY+Q9TOAFhiqCLVWeFaOC4WepWeVjYQHUocPGcaGkIiormFDSEREVbp169bdu3c9jd2U\nXpbsbmmo3+b8aDjehm8HTBZBDABPN8JgJMQm1Y2SkIBDh7BwoXwyU41YsACHDuHBg+pqxCYw\nGImnGwGIILbDh7ewfTQc9duc39PSUCm/xNPE7e7du7du3ZJTZiIiegNsCImIqEoHDx60tbXV\n2KNwX6B7eqo4UbDbHY3ScfvVcjIFd5B1DI3myBhlzRp07AhHRzkEpprSqxc6dpT9JWGjOcg6\nhoI7ADrBOwPx7miUKPjptLf4gUBXY6+Cra3twYMH5RGYiIjeDBtCIiKqUkhIiMegUapn0iM1\njXSGpreFsAxHm8FVC5YA8HQjtHpAo1N1Q6Smws+PrwffBwsXws8PqanV1Wh0glaPipeEWrBs\nBtcyHG0PZe2h6RGaRqpn0se4j2RDSERUp7AhJCKiyt27d+/GjRseAjeJRLDHWT/fMHgiet3G\nwc6YDgClWUjdg0afyhhl40ZYWmLIEDkEppo1ZAgsLbFxo4yyRnOQshulGQA6Y/ptHBwPh3zD\nYP/e+pIygafQ7fr16/fu3ZNHYCIiegNsCImIqHIHDhywsbHRChZcFRnemSGV4IQNHmrDyhr9\nAeD5FigaQX9wdUPk5GDLFixYACEfN/WfUIgFC7BlC3JyqivTHwKxMZ5vBWCN/tqwssFDCU7E\nz5ReFRlqBQtbtmwZEhIip8xERCQLn9BERFS5Q4cOTRkwXutedrCJkW7PmDHodhe+9pghgBDl\nxXi2GY3mQCCqbojNm6GlhXHj5BWZati4cdDSwubN1dUIRGg0B882o7xYAGFnTL+DHWPQTbfX\n5f0mRlr3XkzuN5azRomI6g42hEREVImEhITY2NiRU0bgwQAAIABJREFUaS5ZUNk3QStZ/FN/\nqBYjpz0mAkDqXpQXweTD6oYoKMCGDfDxgVgsl8hU88Ri+PhgwwYUFFRXZvIhyouQuheAHSaV\nIK8/VJMV/PZO0MqC6vC0AbGxsQ+qX7CUiIjkhQ0hERFV4sCBAzbNbXQjSs8qG0kmvegEwUsE\n2mK8ErQAKZ7+H0y9IVKvboht2yAUYsoUeUUmuZgyBUIhtm2rrkakDlNvPP0/QKoELVuMf4nA\nThBIJr04q2ykF1lm09yGLwmJiOoINoRERFSJ4OBgny7e6rmFvu2Mi5oGesD2CX7vgk8AIDMC\nhQ9gNqu6+4uKsGYN5s2Diop8ApOcqKhg3jysWYOiourKzGah8AEyIwB0wSdP8LsHbIuaBvq2\nM1bPLZxnP3X//v1yCkxERNViQ0hERK97+PBhXFxc/7uODwW6pz9VVMRpE/xmjX76aAkAT9bA\ncCyUTKsbYudOlJTg44/lE5jk6uOPUVKCnTurq1EyheFYPFkDQB8trdHPFL8p4czpTxUfCnQ/\niO8VGxv78OFDOQUmIqKqsSEkIqLXBQcHt2vaxji24IiOsfLACxPQ+QH2d8EsAMi9gOxzMPep\n7v7iYqxahXnzoF7tnFKqp9TVMW8eVq1CcXF1ZeY+yD6H3AsAumDWfewfh07KAy8c0TE2ji2w\na27Ll4RERHUBG0IiInpdSEjIl43nSiTCbSP0X6j52yNNG42bwgUAklZBfxDUWlV3/86dKCzE\nzJnySUu1YOZMFBbKeEmo1gr6g5C0CkBTuGijsT3SXqj5bxuhL5EIl1h8euDAATmlJSKiqrEh\nJCKif7h3715cXFyP620uKRimzc76AJrJ8O+K2QIIkX8bGUdhsbC6+4uK8N13mDsXGhryikxy\np6GBuXPx3XcyviS0WIiMo8i/LYCwK2Ynw/8DaKbNyrqsYNjtRqu4uLi7d+/KKzEREVWODSER\nEf3DgQMH3Kx7G6bm+7cwyW/l5wJ1KSTtMAEAnqyCdk9odqvu/u3bUVyMTz6RT1qqNZ98guJi\nbN9eXY1mN2j3xJNVANphghQSF6jnt/bzszExSi1ws3bmWqNERLWODSEREf1DUFDQ50rzkqFx\neL6KJW4LENwR3opQQ9FjpAbC4vPqbi4owMqVmD+frwfffxoamD8fK1fK2JPQ4nOkBqLosSLU\nOsJbgGBL3D68QCUFGp8pzQ0ODpZXXCIiqhwbQiIi+svt27fjb95td187StOkZPixMWicjYf2\nmAkASauh3g66/au7f/NmSKX8erChmDkTUik2b66uRrc/1NshaTUAe8zMxsMxaFwy/NdITZP2\n97Xv3rhz+/ZtOaUlIqLKsCEkIqK/BAUF+VhME5eW/zDMUKB2qBFOtoWnBkxR/BwpP8Gy2teD\nublYtQqffQZVVXnlpVqlqorPPsOqVcjNra7M8nOk/ITi5xowbQOPRjglUDv4wzBDcWn5PPNp\nfElIRFS72BASEdFfgoODJ74cFScyeLgwaTSMU3GmG+YCwJM1UGkK/SHV3bxuHdTU4O0tn6hU\nJ3h7Q00N69ZVV6M/BCpNK/Yk7I55qTg9GsYPFybFiQwm5Y8KCgqSU1QiIqoMG0IiInolJiam\n7H5+syyJXwuT/Ba+drjbFB8Yoi1KUpG8HZaLAUGVN6elYf16fPUVlJTkGJlqm5ISvvoK69cj\nLa3qIgEsFyN5O0pSDdG2KT6ww938Fr5+LUyaZUkk9/OvXLkiv8BERPRPbAiJiOiVoKCg7/S+\nSYda0BeK/VGYhcM9sAAAnqyDkiUMRlZ387JlMDfHhAnyiUp1yIQJMDfHsmXV1RiMhJIlnqwD\n0AMLsnC4PwqDvlBMh9oKvW8CAwPlFJWIiP4HG0IiIgKA8vLyg8EhA7JtIrRMcobuc0KWCTpY\noTdK0vB8Cyy/gEBU5c0JCdi2DStWQFR1Db2vRCKsWIFt25CQUGWNQATLL/B8C0rSrNDbBB2c\nkJUzNCBCy2RAts2BwP0SiUSOiYmI6C9sCImICADOnTvn+LyzSpnk+7GGLZWuSrD/j9eDa6Bk\nDsPR1d28eDE6d8bgwfKJSnXO4MHo3BmLF1dXYzgaSuYVXxL2wAIJ9rdUits4zlClrLxXiv35\n8+flFJWIiP6JDSEREQHAvn37fJSmX1EwvPVF9ECUaMG8JYahJBXPt8BySXWvBy9fxv79WLNG\njmGp7lmzBvv34/LlKgsEIlguwfMtKEltiWFaMB+IktuLo68oGMxXmhEQECDHrERE9Bc2hERE\nhJKSkmsHLrcpFGzvZKpjEqqJQz2wUAAhklZB2QqGY6q7ed48DBuGbt3kFZbqpG7dMGwY5s2r\nrsZwDJStkLRKAGEPLNTEIR2T0O2dTNsUCq7uv1RSUiKvrERE9Bc2hEREhMjIyBkvpycL1ENW\nZg5DoQrUbDEOxc/w/EdYfQVB1Q+Lw4dx8SK++06OYamu+u47XLyIw4erLBAIYfUVnv+I4me2\nGKcCtWEoDFmZmSxQn/FyelRUlByzEhHRK2wIiYgIB/YED5e0PGhkJnHcZYKw7vARQYzEZVBt\nAYMRVd5WUoIFCzBzJpo2lWNYqquaNsXMmViwANW86zMYAdUWSFwmgrg7fEwQJnHcddDIbLik\n5f7d3JCQiKgWsCEkImrocnNzTcONRFJsnKc6RJCiCmlHfITCBCT7ovG31e09+P33yM7GkiVy\nDEt125IlyM7G999XXSFA42+R7IvChI74SBXSIYKUDfNUhVIYhxlmZ2fLLyoREQFgQ0hERCEh\nId6SYedUjBOn77HGL90wVwEqeLwUmp2hN7DK29LSsGwZvv4a2tpyDEt1m7Y2vv4ay5ZVt0+9\n3kBodsbjpQpQ6Ya51vglacbu8yrGH5cPP3TokByzEhERwIaQiIjivr9kLSnfMMiov+o1dRR0\nxnTk30BqABpX+2Xg4sWwsMDUqfKKSfXE1KmwsJCxBUXj75AagPwbnTFdHQX9Va5vGGRkLSm/\n+kPVi5QSEVHNYENIRNSgJSUlud1yixfq/rLuWFuc6I55Yqgj4TPoDYC2Y5W3xcRg1y5s3AgF\nBTmGpfpAQQEbN2LXLsTEVFmj7Qi9AUj4TAz17pjXFid+WXcsXqjretM1KSlJjlmJiIgNIRFR\nw3Zoy4G+ZVo/2Zp2NTuui1x7zET2GWRGofGKKu8pL8fMmRg+HL17yzEp1R+9e2P4cMycifLy\nKmsar0BmFLLP2GOmLnK7mh3/yda0b5nW4R9D5BiUiIjYEBIRNWzaPxrlQbx5873O+LUb5oqh\njoSFMBoL9XZV3uPnh5s3sW6dHGNSfbNuHW7ehJ9flQXq7WA0FgkLxVDvhrmd8eumzfG5UNLc\nYiC/kERExIaQiKghuxR9cUhe44PGZk27B5kguws+QdoBvLyGxsuqvCcrC4sWYfFimJvLMSnV\nN+bmWLwYixYhK6vKmsbL8PIa0g50wScmyG7WPfiQsenQvCaXf7skx6BERA0dG0Iioobr5pwH\nqtLylV8XdEdkD8wXl4vx6DM0mgVliyrv+fxz6Otj3jw5xqT6ad486Ovj88+rLFC2QKNZePSZ\nuFzcA/O7I3Ll1wWq0vIbs+/LMSURUUP3XjWEPj4+VlZWtZ2CiKh+KC4udrzW5LSasXDKriZ4\naY+ZeLYJZbmw+KzKe37/HTt2YPNmiMVyTEr1k1iMzZuxYwd+/73KGovPUJaLZ5vsMbMJXoqm\n7DytZux4rUlxcbEcgxIRNWjvVUOYkZGRmJhY2ymIiOqHE5+dtS4tXjVFuZdwf098plhaiMRl\nsPoKClXsK1haCm9vjBvHtWToTfXujXHj4O2N0tLKCxS0YfUVEpcplhb2xGeOwpBVU5StS4tP\nfHZWvkGJiBqu96ohJCKiN6e7Q/OGot6DlbtaQdIR3nj8FcQmMPWu8oZ16/D8OdaulWNGqv/W\nrsXz59UtQWTqDbEJHn/VEd6tIHmwctcNRT3dHZpyjEhE1KDVm/2jxowZI7Pm4sWLckhCRPQe\nSPz1if3LoqkDG/VR3umErxTyH+D5NrQ9CkEVz4X79/HNN9iyBQZcBJLehoEB1q7F9OkYPhzN\nmlVSIFBA03W4MUjBdJqT2tIbyl99/8GU7eFZib8+sezHhYuIiGqcQCqV1naGNyIQCN6w8p3/\nom3btk2bNi0vL09dXf3djkxEVFuOm8e0fI6uaacX6fl+jBvCay4QitE2ovJqqRTOzlBQwLFj\neOM/jYlekUrRvz/KynDyZJX//dxwQ3lJebuoH9F2ZebkC4ZOd0zR90kn+QYlIqopJSUlSkpK\n0dHR3bt3r+0sr6s3bwjV1NTMzMzWVbvt1YYNG06cOCG3SERE9VRJSmnPp4WrOlk5661zxiZh\n+lHknEWn61XesG0bLl/GjRvsBunfEAiwfTvatsW2bZg2rfIa6/9DjK0w/aizwbJLejN9O4xe\nGPO4JKVUbKwo36xERA1OvWkIbW1tb9265ebmVs2rwpCQEHlGIiKqp86437cXKOzaG/YFLFuU\nu+Bha5jNhqpN5dVJSVi4EMuXo3Fj+cak90jjxli+HAsXwtUVFpVtaqJqA7PZeDivhd6tnkLL\nZXvDZre0u+R+v9/lVnLPSkTUsNSbRWU6dOiQm5ubkJBQ20GIiOo3aWG5/ZWcYGsTJ5ul/bBa\nkLQK0hJYLamiWoopU2Bri08+kW9Meu988glsbTFlCqr6ssNqCaQlgqRV/bDayWZpsLWJ/ZUc\naWG5fFMSETU49aYhdHZ27tix49OnT6upGTRo0OLFi+UWiYioPjoz7rmSVLLB98QAdLcsNEXS\nalivhUij8urt2xEdjV27IKw3zwuqo4RC7NqF6Ghs3155gUgD1muRtNqy0HQAum/wPaEklZwZ\n91y+KYmIGpx6s6hMLeKiMkT03pCWI0V8OdpQ5+fn3VbinP71uSgvQvsTQGWz8RMS0K4dVqzg\n60F6Z374AZ9/jmvX0KRJZZeluNoHQuUM2/9bhJ4DTH/vkfbCuKSzgH8dQUT1XF1eVIZ/xBIR\nNSBnP8kwkBSu++G3YRiln34T2SfQfEvl3aBEAi8v2Ntj5ky5x6T318yZsLeHlxckksouC9B8\nC7JP6KffHIZR6374zUBSePaTDHmHJCJqSNgQEhE1IOY7k07pGXQeusipbB4ezIG5D1RbVF66\nZg1u3oSfH1cWpXdJIICfH27exJo1lReotoC5Dx7McSqb13noolN6BuY7k+QbkYioYXl/GsK0\ntLSYmJiYmJjaDkJEVEed+PyFVUne2tWXPYTzVB+th1AJll9UXnrlCpYuxebNMOfO4PSumZtj\n82YsXYorVyovsPwCQiXVR+s9hPPWrr5sVZJ34vMX8o1IRNSA1JttJ2QKCAj49NNP8ZYb05eX\nl589e7asrKyamjt37vzXcEREdYDJ+sTfNfVtR0+wz92L5wvRNhJClUrq8vPh6YmRI+HpKfeM\n1DB4eiIyEp6eiI2FmtrrV4UqaPYjbrjaG52yHT3u908jTdYnYoVObQQlInr/vT8Noba2trW1\n9dvelZiYOGrUqOobwuLiYrxln0lEVNdELMt2Lcoes+bxEoU1otszYOgJ3f6Vl86ahdJSbN4s\n34DUwGzeDDs7zJoFX99Krur2h6GnKH7GpHbrvl5+OegTq4hl2W5faMs9JRHR+4+rjMrGVUaJ\n6D1wVe16mQjBscPXKIzHs02wvw1F/UrqAgPh5YWzZ9G1q9wzUgNz4QIcHeHvDw+PSq6WZuBS\nK5jNnF+2Z3SHgwoStM+3lXtEIqJ3g6uMEhFRbQpakd2uIGvr19FeggVIWoFm31feDd6/D29v\nfPstu0GSh65d8e238PbG/fuVXFXUR7PvkbTCS7Bg69fR7QqyglZkyz0iEdH7jw0hEdH7r9ny\np9fVtdFoTZucndAdAMMxlRQVFWHUKDg4YP58uQekhmr+fDg4YNQoFBVVctVwDHQHtMnZiUZr\nrqtrN1v+VO75iIjef/WvIZRKpfHx8WFhYXv37t2zZ09YWFh8fDwnvhIRVWXTN+kdCjJ2Lj4+\nS8sehQ/Q/MfK62bNQkYGdu+GsP49Gqi+EgqxezcyMjBrVuUFzX9E4YNZWvY7Fx/vUJCx6Zt0\n+eYjInr/1adFZQoLC9etW7d169Znz569dqlRo0be3t7z5s1TUalsxTwiooaqXIquK1Ova2il\n5y23VS5E050Qm1RS5+cHPz+cOQP9yqaSEtUcfX3s349evdC9OyZOfP2q2ARNN9rGT0nP++W6\nxsmuK1PLlxgIuTUmEdG7U28awvz8/D59+ly8eFEoFNrZ2TVr1kxLS0sgEGRnZ9+7d+/69etL\nliyJiIg4ceKEqqpqbYclIqorli5M/qYwY/6XxzZ0VoFubxiNq6QoLg7Tp2PtWnTrJveAREC3\nbli7FtOno1072Nm9ftVoHNIPbeh2Ya3CgTXf9P9yYfK3qyv7Sw0iIvpX6k1DuGLFiosXL44d\nO3b16tWmpqavXX327Nn8+fMDAwNXrFixbNmyWklIRFTX5EjKh3+feU1bQ1+y2lBbB823VlKU\nmYlhwzB0aJVz9ojkYNYsXLyIYcMQEwM9vdevNt9qmN1aX7L6mvbw4d9n5nxnpCXixGYionej\n3vx5GhQU1LFjx927d/9vNwjAzMxs7969HTp0CA4Oln82IqK6aYn303bFGRHT/Oc7lwtb7ITY\n8PWKsjKMHg1tbezYURsBif5mxw5oa2P0aPzv5sBiQ2GLnfOdyyOm+bcrzljizdVliIjemXrT\nED59+rRnz57Cqpc6EAqFPXv2fPLkiTxTERHVWVcKcqf5Z8cYqHu0+yFLPAj6gysp8vHBtWs4\nfBicbE+1TlUVhw/j2jX4+FRyVX9wlniQR7sfYgzUp/lnXynIlXs+IqL3U71pCLW0tB49elR9\nTUJCgra2tnzyEBHVcbvGZLcsy8qes1ZBQdmg295KKnx9sWUL9u+HlZW8wxFVysoK+/djyxb4\n+v7vRYNuexUUlLPnrG1ZlrVrDPckJCJ6N+pNQ9i3b9+wsLDdu3dXVeDn5xceHt6nTx95piIi\nqpvWJ9/1ici8aKHSyz74tnQxROqvV5w5g+nT8cMP6N27NgISVaF3b/zwA6ZPx5kzr18Sqd+W\nLu5lH3zRQsUnInN98t3ayEdE9L4R1Jcd/B4+fNixY8ecnBw7O7sBAwbY2NhoaWkByMnJiY+P\nj4qKunr1qra2dkxMjLW19bv9R2/btm3atGl5eXnq6v/z/6iIiOqeUki+sE9dcfl+7o5Zmy49\nXrQ5Q1FR8R8V9++ja1eMG4eNG2spI1G1Zs/G3r24cAHNmv39dGlp6coZ+jPtrTQ/+v7zzs2W\nXTJShKi2MhIRvbmSkhIlJaXo6Oju3bvXdpbX1ZtVRq2trc+fPz958uRLly7FxcX9b4G9vb2v\nr+877waJiOod95ho/xiV2DbFBYX3RVaLX+8GMzLg5obu3fF//1dLAYlk+b//Q0IC3Nzw229/\n3xtTUVFRZLXgeuFy1TbFc2Oeucc8+LmTYy3GJCJ6D9SbN4R/io2NPXnyZHx8fE5ODgAtLS0b\nGxtnZ+cOHTrU0D+RbwiJqB65jse/NlaamfhAEjil5adPYm880fv7Iv6FhejbF0VFOHMG/DON\n6rKXL9GrF5SVcfw4VFT+PJ2Zmdmhrfmd9eYij52bLJv2e1RsC6vaS0lE9Eb4hvBd6tChQ831\nfkRE9d3o3S8uPC5KdLiz/oii25CJ/+gGJRKMHYtnz/D77+wGqa5TV0d4OLp1w9ixOHAAoldT\nQ/X09NyGTJx35OynPe5MOa/QdbfynQlWtRqUiKh+qzeLyhARkUzziv2WztITiiTKS25tD74z\nZ86cf1yeMQNnziAqCiYmtRSQ6G2YmCAqCmfOYMaMv5+eM2fO9uA7yktuCUWSpbP05hX71VI+\nIqL3ARtCIqL3RCIenFvgOjQnqXDCjTlbk9zd3Zs3b/7X5S+/xJ49CA9Hy5a1l5HoLbVsifBw\n7NmDL7/881zz5s3d3d3nbE0qnHBjaE7SuQWuiXhQixmJiOo1NoRERO8DKaTOz0+u+zE7R1Wa\nO8/+yJGj8+fP/+vyhg1YuRIhIejWrfYyEv0r3bohJAQrV2LDhj/PzZ8//8iRo7nz7HNUpet+\nzHZ+flKKerYmAhFRHcGGkIjofbAMK+xHe/QoTdbYorV647auXbv26NHj1bVdu+Djg9274eJS\nqxmJ/i0XF+zeDR8f7NpVcaJHjx5du3ZdvXGbxhatHqXJ9qM9lmFF7WYkIqqn2BASEdV793Bx\nza9u30QnpDRWzu5vsGfPngULFry6FhgIb2/8+CPGjKnVjET/zZgx+PFHeHsjMLDixIIFC/bs\n2ZPd3yClsfI30QlrfnW7h4u1m5GIqD5iQ0hEVL+VosC9KGiBV6Mm0hyjsLYbNmxo3Lixu7s7\nAISEYMIErF2Ljz6q7ZhE/9lHH2HtWkyYgJAQAO7u7o0bN96wYYNRWNsm0pwFXo3ci4JKUVDb\nKYmI6hk2hERE9dsi6ZSSb76dkfzwxVCzPLOSrVu3Lly4UCgU4tAheHpixQrMnl3bGYnekdmz\nsWIFPD1x6JBQKFy4cOHWrVvzzEpeDDWbkfyw5JtvF0mn1HZEIqJ6hg0hEVE9dkK66ftHEzes\nzxSLJfp+lps2bdLR0fH09MTBgxgzBsuW4e9LyxC9B+bPx7JlGDMGBw96enrq6Ohs2rRJ389S\nLJZsWJ/5/aOJJ6SbajsiEVF9woaQiKi+SsONSeWxLp6OrkWJwlVNXgqLNm7cuGDBAsWDB+Hh\ngeXL8eeXhETvkwULsHw5PDwUDx5csGDBxo0bXwqLhKuauBYlung6TiqPTcON2o5IRFRvsCEk\nIqqXSpA3TTI+23/DqssPXlpqqMw23rp1q6Ki4kciEcaPx5o1fDdI77P587FmDcaP/0gkUlRU\n3Lp1q8ps45eWGqsuP8j23zBNMr4EebUdkYiofmBDSERU/0gh/b7Y+Uj6ysU+JTbSTK3Q5gWF\nBWvXrg3o0kVxxgxs3szvBun9N3s2Nm9WnDEjoEuXtWvXFhQWaIU2t5FmLvYpOZK+8vtiZ+5M\nSET0JtgQEhHVPyfyxy8Xd2nr3df7xYN8z0bC9mrbt2/3yctziojAnj2YOrW2AxLJxdSp2LPH\nKSLCJy9v+/btwvZq+Z6NvF88aOvdd7m4y4n88bWdj4ioHmBDSERUzzzIX+2jdq84ZOXGyESx\nOjS2WhW+fKm7ePHs0lKEhsLDo7YDEsmRhwdCQ2eXluouXlz48qXGViuxOjZGJhaHrPRRu/cg\nf3Vt5yMiquvYEBIR1SeZ+YcXK6+/nrpx6mxpz7Kn4p+aQVTyrHt398LCsqgouLrWdkAiuXN1\nLYuKci8sfNa9O0Ql4p+a9Sx7OnW29HrqxsXK6zPzD9d2PiKiOo0NIRFRvVFUcHG9aOIhzLae\n2WVhcnxhLwMFJ2l5795Kt2+H+vio9OlT2wGJaodKnz6hPj5Kt2+X9+6t4CQt7GWwMDneemaX\nQ5i9XjSxqOBibQckIqq72BASEdUP5YXxe0qdtyv1Uwiav/7IUz2lYrXlQNeu6c+eDdTTG/3V\nV7UdkKg2jf7qq4F6eunPnqFrV7Xl0FMqXn/kqULQ/O1K/faUOpcXxtd2QCKiOooNIRFRfVD0\nKCK30ybNFjmJG7x8igeUPRZ+XAJ3hzIbm84FBZMXL1ZVVa3tiES1SVVVdfLixZ0LCspsbODu\nIPy4ZEDZYy+f4pzEDZs0W0TkdkLRo9rOSERUF7EhJCKq84oSf0vruMVQ93bZl9bTTL9IuVtq\nWaKwqT+mTFneqZNAXd3b27u2IxLVPm9vb4G6+vJOnTBlisKm/qWWJV+k3LWeZnq77Msthrq/\npXVEUWJtZyQiqnMUajsAERFVq+jRrSddtjcVHBNMVF4/eO3JJCNRruJzL+zcme7qus7aesOG\nDUpKSrWdkqj2KSkpLV26dM6cOdMfPjRo3VplqpeRaN/ak09Hrh98bEGskfkmrQedW5tfhHLj\n2k5KRFSH8A0hEVEdVvjgcUJX36YFBwXuogtLpq3O/6D0kVDDF2cOwstr+fLl5ubmXl5etZ2S\nqK7w8vIyNzdfvnw5vLxw5qBQw/eD0kfTVueLLiw5KHD3bVrwOKErCh/UdkwiojqEDSERUV1V\ncCflfnc/m9wQgbMgY1XH6YL5mbdLtRJFd9aga9f/Z+++o6OoHjaOf3dTNsmm995JSCHUUEMv\nIiIgqAiKSFMQkf6ioj8rYkERUIo0ARVBQMAC0rsQSkIgPaT33jZbkt19/8gKgiCgQEDv58zZ\nM5md3b0zHGbmuXPn3vT09GXLls2bN8/IyKipCyoI9wsjI6N58+YtW7YsPT2djh2NEj+ut8ma\nXZbQ9kWJpPTDLZJeXwVXF6Z2pi6xqUsqCIJwvxCBUBAE4b5Uc7Y8scuG0NofjbpXa+fIpzt+\nFJvpYFJrlvA4rq7A3LlzIyMjhwwZ0tQFFYT7y5AhQyIjI+fOnQvg6mqW8LiDSe1HsZny6Y7V\n2jk/GnXfEFpbntiFmrNNXVJBEIT7ggiEgiAI95/KQ9VJPTZE1O837pKsH6pc0XHOtqooco23\nReBuAURHR2/evPnjjz9u6oIKwv3o448/3rx5c3R0NIC7hfG2iChy52yrUq7omKwfut+4y4aI\n+uqkHlQeauKCCoIg3AdEIBQEQbjPlGxVJPbf0NL0lEnbA/qWquPjBs/TjlUlNzznLhno0LjK\nzJkzhw0b1qlTp6YtqSDcnzp16jRs2LCZM2c2/ikZ6NDwnPtYVfLgeVrV8XEH9C1PmbTd0NJU\nkdifkq1NW1RBEIQmJwKhIAjC/STvC2XqUxva2cebBG/WuZumvhH2Mu8UpJh5G5t8EdC4ypYt\nW06fPv3BBx80bUkF4X72wQcfnD59esuWLY1/mnwRYOZt/E5BStjLmKa+sVnnHm8SvKGdvTL1\nKfK+aNqiCoIgNC0RCAVBEO4Peh3pc5SZ09fFSqciAAAgAElEQVRHul/SO62tt3PIf8/uFcv3\nLxY2M64w/SkUcymgUqlmz549depUf3//pi6xINy//P39p06dOnv2bJVKBWAuNf0ptJlxxfsX\nC+1esXTIf29tvd0lvdP6SHdl5nTS56DXNXWRBUEQmoYIhIIgCPcBbR0JTyqLl2/o4JNXI12l\ntHOufEe7zG/q/rr+2kvSpYGEyRtX/PTTT1UqlaHDDEEQbmzu3LkqlerTTz81/B0mly4N7K+9\nNHV/nXaZn3PlO6uUdrm10g0dfJTFy0l4Em1dk5ZXEAShaYhAKAiC0NQ0BcT2qFNFr2vlUJJb\nsbLBw0H6VunutgO/0k5QxOsfd5KMd2tcMScn5/3333///fetra2btsiCcP+ztrZu/P+Sk5PT\nuEQy3k3/uNMERfzAr7Slu9s6SN9aVe9RkluxrpVDnSqa2B5oCpq2zIIgCPeeCISCIAhNquYM\nZyNrTLRf+Sqr0wpXW7Swtp+THdOj5Tz93MJEua+R8Zqgy+vOnj07PDxcjEQvCLdo9OjR4eHh\ns2fPvrzEeE2Q3NdobmFiy3n67Jge1vZzVlu0qE4r/MpXWWOi5WwkNWeasMCCIAj3ngiEgiAI\nTadoAzFdK02Cv7KL12TXrfXua+I8Ni39Ud9ZvJ+W5S+rMv45DLlh3Pn9+/dv2bLl888/l0rF\noVsQbolUKv3888+3bNmyf/9+wyK5kfHPYf6yqvfTsnxnkZb+qInz2LXefTXZdV/ZxVeaBBPT\nlaINTVpqQRCEe0pcVQiCIDQFfT1p00gaW5ITvsbtgFGt45oWQ3XWfdKLR3lM5c0LZd31WUbf\nNifYonF1jUYzefLk8ePHt2vXrmkLLggPlnbt2o0fP37y5MkajcawKNjC6Nvm3fVZb14o85hK\nevEonXWfNS2GGtU6rnE7UJITTtJY0qahr2/SgguCINwjIhAKgiDcc+o8YnuSvTZnm3ztI+fs\nTLp+GdJfbRyWU/uS6wymnqx7oiGR17wZ4nj5Ex999FFFRcX8+fObsNSC8ICaP39+RUXFRx99\ndGXREEde836iIXHqyTrXGeTUvqQ2DvsypL+dSde1j5zL2SYney2xPVHnNV2pBUEQ7hERCAVB\nEO6tir2ciiD+YtK3yvULFF6Wzy12DlLjXVI/x2Gu5Kn99ePqLhj3s5W843v5E6mpqfPmzVuw\nYIGdnV3TlVsQHlR2dnYLFiyYN29eamrq5YWSd3yN+9mOq7vw1P56h7mSkvo5arwXOwd5WT63\nfoEi6Vsl8Rc5FUHF3iYsuSAIwj0gAqEgCMK9om8gfgaxD7GpIlrp+f1KXbjJa/ON0eBepnvD\n6n1J9536l8oSrPyNpJtCkEoMH9LrJ06cGBUV9cwzzzRt8QXhwfXMM89ERUVNnDhRr9cbFkkl\n0k0hVv5GL5UldN+pt3pfUqZ7Q4P7fGPCTV77fqUuWunJpgpiHyJ+BvqGJi2+IAjCXSQCoSAI\nwj1RncLPzUj/TL/Sc9ecQXsmpHWQfD6HDCmeFbxtuUgS8h0zc1O8rBRGu8OxNLr8uTVr1pw8\neXL58uUSiaQJiy8IDzSJRLJ8+fKTJ0+uWbPmylJLI6Pd4V5Wipm5KSHfYblIUsHbUjznkNFB\n8vmeCWm75gzSr/Qk/TN+bkZ1StMVXxAE4S4SgVAQBOEu0+nYNonjIWTmqcte//ab0Avex6LY\n+DyHbAkq4y3zlRKXNfxfSnYraZH0l3B8zC5/ND8/f9asWW+//XZAQEATboEg/AsEBAS8/fbb\ns2bNys/Pv7LUx0z6S3gradH/pWS7rMF8paSMt2wJep5DUWy84H3s229C1WWvk5nH8RC2TUKn\na7otEARBuCtEIBQEQbibfvmOxQ5YLyevR/no31Y9t6VSkh3JpuGsD6B9HnMtvpbIlzInoagn\nGZLvQulw1YjzEydODAoKmj59elMVXxD+TaZPnx4UFDRx4sSrlnawlnwX2pOMOQlF8qVYfC3J\nY24A7YezPpJNlZLsVc9tKR/9G3k9sF7OYgd++a6Jii8IgnBXiEAoCIJwdxw8yLgQVCPwlRKw\nJ3X8zJVWfezw92HpYD7tzIAkZlhukug/Y87F8sGSJMmiQB5z/OMXrFu3bs+ePWvXrjUyMrrR\njwiCcOuMjIzWrl27Z8+edevWXfXGY46SRYGDJUlzLpbrP8NykySJGZ0ZMJhPfVhqh/9Kqz6p\n42cSsAdfKaoRjAvh4MEm2ghBEIQ7TARCQRCEO+3wYQZEsb83zyTjO1E/KPew34mNDIpksooX\nhzLvCcafYILj9ygX8Ep89VOSeMn/efGSxx+/IycnZ9q0ae+8805oaGhTbYcg/PuEhoa+8847\n06ZNy8nJueqNlzwk/+f1lCT+lfhq5QIcv+cEE55g/FDmqXgxkskbGXTY74R+UC6+E3kmm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2wiEArCfaqigsOHOXiQ/fuJj8fBgd696duX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\na4udnWGyscHODltbbGywtTXMNE6N74p7j/8iIhDeAXPnzn3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CqUO0ETWjbhSE0wAAIABJREFUUFuPETGM9qFBQ4OEGgvhNPy7gBagDWgB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\n/vz5kUjkySefvP322+++++6VK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GQiIi\nIiIioirFQEhERERERFSlGAiJiIiIiIiqFAMhERERERFRlWIgJCIiIiIiqlIMhERERERERFWK\ngZCIiIiIiKhKMRASERERERFVKQZCIiIiIiKiKsVASEREREREVKUYCImIiIiIiKrU/weU5T3J\nO5zCqwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 390, "width": 600 }, "text/plain": { "height": 390, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Visualize the t_n distribution for different degrees of freedom.\n", "\n", "\n", "df=c(1,2,3,4,5,6,7,8) # build a vector with different values for df\n", "x=seq(-7,7,by=0.01)\n", "\n", "plot(x,dnorm(x),type=\"l\", ylab = \"probability density\", xlab = \"T/Z test statistic\",ylim=c(0,0.5)) # plots a z-distribution \n", "\n", "\n", "\n", "# Plot T-distributions at all the values contained in the df vector\n", "index=0\n", "for (i in df){\n", "index=index+1\n", "lines(x,dt(x,i),type=\"l\",col=rainbow(length(df))[index])\n", " }" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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L17XqjLisEj0O6G7oAhZKo6U/0z5AZ85dff2Wef7+icEsn3ZqSUH04Ji+fFSIno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dlULGPyjdgc8I4j4geAZYiXmkn33GgQMk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\nEKwgs3X48OErV66wgsxWVlZWZWUlK8hs5eXlXbp0qWvXrrKDoElwDSEAA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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 390, "width": 600 }, "text/plain": { "height": 390, "width": 600 } }, "output_type": "display_data" } ], "source": [ "# Visualize the t_n distribution for different degrees of freedom in log\n", "\n", "\n", "df=c(1,2,3,4,5,6,7,8,50000)\n", "x=seq(-7,7,by=0.01)\n", "\n", "plot(x,log(dnorm(x)),type=\"l\",col=\"blue\", ylab = \"probability density\", xlab = \"T/Z test statistic\")\n", "\n", "index=0\n", "for (i in df){\n", "index=index+1\n", "lines(x,log(dt(x,i)),type=\"l\",col=rainbow(length(df))[index])\n", " }" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 4 }