{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# La base\n", "\n", "Visualiser les données est une étape cruciale lorsqu'on veut les analyser. En effet, le premier réflexe est de regarder la distribution ou la fréquence de certaines variables avant de procéder à la modélisation dans notre domaine. \n", "\n", "Les actuaires sont d'abord passionnés par les chiffres afin d'analyser les différents risques et scénarios. Souvent, les données sont présentées en forme de tableaux ce qui n'est pas toujours évident à bien comprendre. Pensons seulement à l'exemple de données extrêmes; dans un tableau il est plus difficile de voir un chiffre qui, on va dire très élevé (ou très petit) par rapport à la moyenne. Toutefois, il est plus évident d'apercevoir un point isolé des autres sur un nuage de point.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "## Créer un graphique\n", "\n", "Il y'a plusieurs manières de visualiser les données avec `R`. Dans ce cours, nous utilisons le _package_ `ggplot2`, ce dernier est très riche cohérent dans la création de graphiques, il est aussi le plus utilisé dans la communauté scientifique, l'aide sur internet est aussi très abondante." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Tout d'abord, il faut charger le _package_ en question;" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "library(ggplot2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Utilisons les données `mpg` qui sont aussi dans le package `ggplot2` afin d'illustrer quelques exemples;" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\n", "
manufacturermodeldisplyearcyltransdrvctyhwyflclass
audi a4 1.8 1999 4 auto(l5) f 18 29 p compact
audi a4 1.8 1999 4 manual(m5)f 21 29 p compact
audi a4 2.0 2008 4 manual(m6)f 20 31 p compact
\n" ], "text/latex": [ "\\begin{tabular}{r|lllllllllll}\n", " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n", "\\hline\n", "\t audi & a4 & 1.8 & 1999 & 4 & auto(l5) & f & 18 & 29 & p & compact \\\\\n", "\t audi & a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & compact \\\\\n", "\t audi & a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31 & p & compact \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "manufacturer | model | displ | year | cyl | trans | drv | cty | hwy | fl | class | \n", "|---|---|---|\n", "| audi | a4 | 1.8 | 1999 | 4 | auto(l5) | f | 18 | 29 | p | compact | \n", "| audi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact | \n", "| audi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact | \n", "\n", "\n" ], "text/plain": [ " manufacturer model displ year cyl trans drv cty hwy fl class \n", "1 audi a4 1.8 1999 4 auto(l5) f 18 29 p compact\n", "2 audi a4 1.8 1999 4 manual(m5) f 21 29 p compact\n", "3 audi a4 2.0 2008 4 manual(m6) f 20 31 p compact" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(mpg,3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Nous nous intéressons alors à la relation entre la taille du moteur displ et hwy, l'efficacité énergétique d'une voiture sur l'autoroute, en miles par gallon(mpg). Une voiture à faible rendement énergétique consomme plus de carburant qu’une voiture à haut rendement énergétique lorsqu'ils parcourent la même distance." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## geom\n", "\n", "Chaque fonction `geom` dans ggplot2 prend un argument de mappage. Ceci définit comment les variables de votre ensemble de données sont mappées aux propriétés visuelles. L'argument de mappage est toujours associé à `aes ()`, et les arguments x et y de `aes ()` spécifient les variables à mapper avec les axes x et y. ggplot2 recherche la variable mappée dans l'argument de données, dans ce cas, mpg" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Ge35mkelF9qqaXMrFmz8qCq1ZFrmWua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IS0AGVlhSOk4EREAEREAEREAEQhKQgRUS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\nRK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=3)\n", "ggplot(data = mpg) + geom_point(mapping = aes(x = displ, y = hwy))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "On peut mettre plusieurs `geom` dans un seul graphique. Ici, on ajoute une courbe de tendance aux points de notre graphique de base." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n" ] }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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fPggw9KkyZNSpxDs3XRRReVOG4P1Ki2Qy466TsZ3PcnJ4jDLntYVq6tKnc810PG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\ngnWqxXeA54EGes8998xlmM1sn0EJLYV3oUuuFhx/JtoH2qCwiBK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bDqQIXyMGa8yGhFpAE1Zh1yqptvFWKdrysmyu/ldBg1UseZVkW9XT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UwgE3kR+THz6WxNDXxiuMJ9xHmb0TuHjT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\nAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) +\n", "geom_point(mapping = aes(x = displ, y = hwy)) +\n", "geom_smooth(mapping = aes(x = displ, y = hwy))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n" ] }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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oqKCixatEhru9g+tV4sk5CQYK9LNnyD\nQLMhWFSp0oZcU/hWUFRUhM8++wzh4eFapXr55ZfjzDPPRJ8+fWpml31BQBAQBAQBQaDJEVi9\nerV+JvXq1cupLZrn+HElJjWriWEb6Hf11Vdf6Wfeli1bsGrVKr1tkK527dqBJsKnn34anTt3\nxvDhw3H66afrcA8jRoywV01fqw8//FBr0m666SaMHz9ePxvpBybiewSahYkwNTUV7733HqgO\nrSlk5rxoSK4otG9TTTp79uyaWWVfEBAEBAFBQBDwCgJ79+5tlCM5XV2SkpIwefJk7RJD36kr\nr7wSjsSJA6Ap8KeffsKUKVNAzdajjz6KkSNH6rz096KQ3NF9hse4TVPiFVdcobfp6yXiWwR8\nrsGqrKzEQw89hOuuu04z9ZpwUNWZmJjolMz9rKwspzTu/O9//9MOg8YBzuSgutQdoaqVbw2+\nEKp1KcHBwVoN7Is+8M0qMtI3gU+N8VNtHhDgm0vSl+M3xkzVv2Fq8PY14MvxBwbaVjQICwvT\nvwFvj53t8ffvq+vfOOd8ieTMMW8Lzz2vQV+N3zj/HD9NaI2VIynbmDZTUlLw+++/g88wYwys\nh1Hb6fx+8skno2fPnk5V06H96quv1houarAcZxtyVqHjGOgeM2HCBK25Yvrff/+tHdiZjySK\n9VNiYmLw73//W38425Ak68Ybb8S9996r/bucOiA7XkXAN08zhyG+8cYb6NChAyZOnKiZuMMh\nPSuDju81f/jc52yJmkK2z2mvhpDtT5061dg97LehJTtsxibKwButcbNtoibqrdbX4yfB5MdX\n4uvxk2D6UmT8Ni25r84BCbYvxdfnnwT7SISaIG8KQzK89dZbmtBQy2TICy+8gCeffBLz58+v\nRbBoCqT26dxzz3UiV9u2bdPPNOMln+bHY445RmumOCuQJHjUqFGYPn26dmQ3lt656KKLNMnb\nuXOntvLExsbi+uuvB2cVGnmMfsm39xHwKcFi3JCff/5ZmwddDZ2aDb5ZGupQIw/3Xd0Mnnvu\nOT07w8jHPIw34o5ER0cjPz/f6Q3CnXKeyENSxfglxcXFeqqtJ+psaB38YfLtxxdCUkXSzNkw\nnF3jC/Hl+EmseGOlU2xdM4+aGhNfjp8PVv5W+fujw663hQ8v/v7y8vK83bRuj2MnBvTLqXmv\n80aHeJ9lzCTi7wth2ySXvP8Ys+Ma0w9vv5zRrMeQCSQ9vG7pJ8WX/FdeeUVPyHKMaWWMh+EZ\nqO0iMWN4h/79+2Px4sW455579LOO90Bqq+jDRQ0ViRrPz0knnaR9tBgGgnjRH4tyxx136Ilf\nnBh2zTXXID4+Hl9//bXOe9999xnNyrePEPApwaJJjzcW2popxg/8/vvvx9lnn60DqvHGz4vO\nUfggcjVDgsHaagpNjO4Kb26OKlp3yx1pPsNERvOAL26wRv991bZhImur4zfMQny4+Ooc8Brw\nVdu+Hj8JVlseP+95/Pjq/Bv33CO9/r1NsHjfmjt3rtYY0dncuI7PO+88HRfLuK/ri+vQH/pe\nffTRR6CWi4FFWYYWHPpQcfz0Q6bfMckZyRtNgcaMeV6nQ4YMwZIlS8DnIuWoo47SZUnEZs2a\npdP4ssqZio888ojelz++Q8CnBIszAfnWZghXHee01L59+9ovoO7du+s05jWEsw3pICgiCAgC\ngoAgIAj4CgHO+iOxYbgGmukYboHaUEdhjCpHoV8wP/THov8WyxjCkESGMHI7yRTdZKgoSE5O\nduknTP+ru+66S8fJYlk+M42XBqMu+fYNAj4lWPS7chTOhqCKlepOwxeJROqBBx7QbL9fv35a\n/Ul1LJcMEBEEBAFBQBAQBHyNAE2cNP81RIyQDIcrQ7MfP/UJn5euLDj1lZFjTY+ATwmWO8Oj\no9/FF18Mxvig7ZoxQWhClHWW3EFP8ggCgoAgIAgIAoKALxBoVgSLcUC4bEBN4bRWarXoe3U4\nJl+zrOwLAoKAICAICAKCgCDgbQSaRaBRdwZNFaiQK3eQkjyCgCAgCAgCgoAg4GsEWgzB8jVQ\n0r4gIAgIAoKAICAICALuIiAEy12kJJ8gIAgIAoKAICAICAJuIiAEy02gJJsgIAgIAoKAICAI\nCALuIiAEy12kJJ8gIAgIAoKAICAICAJuIiAEy02gJJsgIAgIAoKAICAICALuItCswjS422nJ\nJwgIAoKAICAI+BIBY4kfb/ZBIrR7E+0jb0sI1pFjKDUIAoKAICAItCEEDHJlrD/ojaG7WtvQ\nG+1KG41HQAhW47GTkoKAICAICAJtFAGSq8LCQq+M3s/PD1zEWaRlISA+WC3rfElvBQFBQBAQ\nBAQBQaAFICAEqwWcJOmiICAICAKCgCAgCLQsBIRgtazzJb0VBAQBQUAQEAQEgRaAgBCsFnCS\npIuCgCAgCAgCgoAg0LIQEILVss6X9FYQEAQEAUFAEBAEWgACMovQwyfJXFmE0txN8A+MQEh0\nX0jcEg8DLNUJAoKAICAICAItAAEhWB48SZnrX8H+tc9Bx0ixWhAY3hkpY15DWNxAD7YiVQkC\ngoAgIAgIAoJAc0dACJaHzlDOto+RseY5wFplr7GyeC+2z74I/SYtQGBIvD1dNgQBQUAQEAQE\ngaZEIDU1FbNmzUJAQADOOusspKSkNGVzTnVXVFSAccJCQkKc0tvajvhgeeiM71/7XydyZavW\nCqulEge3feqhVqQaQUAQEAQEgRaJQHExTIv/gmn2rzCtXwfFQJpsGBdccAGGDBmClStX4p13\n3kH//v3x008/NVl7jhXn5uZi8ODB2L17t2Nym9wWDZYHTrvVUoWq0iyXNVktFSjL3+7ymCQK\nAoKAICAItH4ETFs2w+/N/ylSZVWDVR+r+nToCPP0W4CIdh4FgKTqm2++QVpaGrp06aLrnjJl\nCm699VacccYZHm3LVWV5eXnYsmWLq0NtLk00WB445Sa/APgFul7GwOQXiKAI20XugaakCkFA\nEBAEBIGWhEBxkSZXJmU2M1VVqk8VTGYzkJUJvw/f9/hIMjMz8fDDD9vJFRsYN24cdu3aZfMP\nVvurVq3CVVddhZNPPhnXXnstli1b5tSP1atX6/QJEyZoYrZv3z6n499//z2uvvpqXf6KK67A\nzz//rI8XKy3dfffdp7fvv/9+zJ49W28XFBSA+6eddhouv/xyzJ07117fn3/+iSeffBKff/45\nJk6cqL/tB1v4hhAsD53A9n2mgmSqpliVs3tsj8k1k2VfEBAEBAFBoA0gYFq75pDmynmwJFmm\nTRsBRcA8Kaeffjr+9a9/OVX56aefYtSoUXpWOwnY2LFjtX8UyRVnuh9//PHYvHmzLjNv3jwc\ne+yxKCoqAk2NS5cu1SY/g2S9/PLLoEase/fuuPLKK1FSUqI1Y8uXL9f+XjRNUgYNGoSEhASQ\ndI0YMUKTsHPOOUfnOfPMM/HBBx/ofFu3bsXzzz+Pf//734iOjkZpaalObw1/xEToobOYMPgW\nlBelIS/tB5j8g1StVAWbkHzCTAS3S/ZQK1KNICAICAKCQItCQC8IzedBbTExSREZhEfUPuih\nFJKXhQsXYsmSJbrG9evXa1L00EMPoUOHDrjoIjURq18/u3brzjvvBEnaJ598ovOThA0fPhyP\nP/44XnrpJWRlZWHGjBm47rrr9HGSrfbt2+v6SeIuvvhiTfBYb+/evfHEE08gIyMDf//9N6Ki\nonDDDTfo9LvuuguXXXaZroN1UgvGdlqTCMHy0NmkmZBkqnTAjSjJWa1MhhFo12k0AoKjPNSC\nVCMICAKCgCDQ4hDo1Mnmc+Wi41Y1ww+xcS6OeCaJJOqpp57C119/rbVIrPXoo49Gjx490KtX\nL9AESDJFM19cXBzKy8uxZs0adFJ9vvfee+2d8Pf31wSJCayThIl1UuvF/NQ6lZWV2fM7btD8\nSE0WiZYhe/fuBTVp6enpOik4OBhDhw41DreabzERevBUHtgbgIVfnoAF396KBV9Pw9+/dIPy\nfxcRBAQBQUAQaKMIWAcMglLxwOrn/Li1KtJiOWUCEFjbteRIoWKIhOuvvx7PPfec1gydffbZ\n9iojIiK0zxUJD817N954ozb3zZ8/H/SVYlnm8VP9NT7jx4/H+eefr+v473//q0M+sDw1T5Mn\nT9aaMHsDNTY4qzAsLMxeF+tMSkrSvlrcptA0aGzXKN6id0WD5aHTt39HEP78KvZQbSaYLSbs\n3RKCH3d3wJk3ZamLx0MNSTWCgCAgCAgCLQcBdfM3T78Vfh+8B2zZpBxHlELLPwCW8RNgPa1p\nZvXRkZxmQTqQDxzoHOiaPk/0lyKx4oekiposmv+++uorREZGIjExUZsEDZB/++03xQMDtabq\nnnvuwbPPPoubb75ZHzYrXzK2R2JGMVYv0QG31X7Pnj3B8o8++qidRO3YsUP3jabF1izy2PfQ\n2V32Q/ShmrRV3b5dUeqHDQubzr7uoe5LNYKAICAICAJNhUC7drDcOB3mx55C1X33w/zUs7Ce\nfibZiMdbfO+997T/1AMPPABqj/744w/7h2SIMnXqVHz55ZfgPgkW89FsSKGPFB3Qv/vuO32c\nRI3O6Tk5OdpBnabE/fv3a0JFDdgttyj/Y2VaNEyEsbE2RcOKFSuQn5+vNWk0BdK0yHZoXrz0\n0kvxww8/ICiI/sqtV4RgeeDckrhXlhNK1z+WfdvbdjRbD0AsVQgCgoAg0PIRUKY3JCifrCYw\nCxrgzJw5Uzus0wl9zJgxTh/6StHxnBoohk2g03mKivDOGX/cp/znP//Rjuo0/bVTxJAzBemQ\nzhmF1GI9/fTT4KxEOsjTt4rmRDq2M/QDhRowhmMgiWK4CDq+f/TRR3jttde0b1ffvn3RuXNn\nvPjiizp/a/5jUmo819MbWsmoyZbdkfj4eBw4cMA+k8KdMkYeEqxvnk1Qu64IlhURsWacek22\nkb3WNx38yPoL1WwTTo31hfDHQnu6L4TLKcTExOi3Hb4R+UJ8OX76J/BGx7c74y3Q2xj4cvy8\nQfNGfvDgQf0m7O2x06TBt3K+oftCOHZiwPYrKyu93gU6MPP6I/6+ELbN30B2djaqVIyoxkp4\neLh+uDe2fEPK8bFJkxjv2d4Q+ieRuHhaqImi/5OrJW14LdIR3QhWWrNtaqVIsLgUjyshNjyv\nvL4MoXM7zYKtXXNljNc1MsZR+XYLAfpXBQZb6tRiderpenaFW5VLJkFAEBAEBAFBoAkQIEGq\nS6itqotcsUx9x3icLw41hZqrtiRiIvTQ2R51Vt6hmhwVglYEhVowcIx33nI8NBSpRhAQBAQB\nQUAQEASOEAEhWEcIoFG8U48KnDjlACJiVHRePyv8AyxI7F2GM2+QGYQGRvItCAgCgoAgIAi0\nFQTEROjBMx3fpRJHn/YR8vf8hoCgKMT3nQq/gCQPtiBVCQKCgCAgCAgCgkBLQEAIlofOkqWq\nApu/PxkVxXvsNWZvfgsdB05Hp6F32tNkQxAQBAQBQUAQEARaPwJiIvTQOd4x73IncmVUm7n+\nJRTu/8vYlW9BQBAQBAQBQUAQaAMIiAbLQye5OGtpnTXtX/Mc2iUcV+dxOSAICAKCgCDQ8hCo\nK0SBp0diREf3dL1SX9Mi0OrjYLkbV4WxOowotw2FvKqqDPNfjKuzWEhkV4yetqnO4/zxGO37\nKiyZ0X6dnWzCAzJ+Of/G9dcWr3/GOOLH3XtVU/wUDfybou7D1emp8TOaOGNheUN4nQrp8QbS\nLbuNVq/BYvA6d+RIAo3a6meQUccQDdWtBoZ11UH0qlOct4xAowyy6ctAo+5i5dz7I98zAo1y\n7L4MNOqr8RuBRrlkhS8Djfpq/EagUS6rwYekt4UPyuYQaDQvL69NBxploN0jIZneIlfG9clA\no0fSX6Med755jTIulUjLQqDVEyxvnY7o5InIS/vWZXOJIx9wmS6JgoAgIAgIAi0TAWqxvPVC\nSC2fEKyWd52Ik7sb58wd02HyCS8gIuF459pMfuh63PMIje7tnC57goAgIAgIAoKAINCqERAN\nlhunl+s1uRPiv+cpH6mZhBk6DpZ/SAyiu56lfSvcaEKyCAKCgCAgCAgCgkArQkAIlhsns7i4\nWC9EzEVJ65MD+wKxdt5A5O4fhoBAK7r0K8WgEwvVOoWufbPqq0uOCQKCgCAgCAgCgkDLRUBM\nhG6eOzoA17fSfU56IBZ8FIeDimRZLSa98POutWH4XaVZzG42ItkEAUFAEBAEBAFBoFUgIATL\nzdPIGSM0FdYla+ZEQvk8KuFsQptYFNEqyg3A7o2hRpJ8CwKCgCAgCAgCgkAbQEAIVgNOcmlp\nKTiVuKZYLUBeFqfQVpMrIw+1V9m7g4xd+RYEBAFBQBAQBASBNoCAEKwGnuScnBxUVFQ4l1K8\nSs2idS3qmPhguYZGUgUBQUAQEAQEgdaKQF20oLWO94jHxdgnGRkZyhxY7biuYsChU68ymPyq\n0xwbSlTHRAQBQUAQEAQEAUGg4QgwCHNLFCFYjThrjDZNTZajDD2lACERZvj5GyRLfZus6DGs\nGB261dB4ORaUbUFAEBAEBIFWj0Bh1grs+ONObPrlUuxZ8QwqS91bZaTVA3OYAU6fPh0zZ848\nTK7meVjCNDTyvNAXi0szcJkTSki4BROuzsHONWHI2ROEoBCLDtOQkCLkqpEQSzFBQBAQBFoF\nAhkb3kLaX/9WL91Kp2E1I3/vQmSs+x8GTvweYbH9WsUYm2oQS5cuxTnnnNNU1TdpvUKw6oGX\noRcyU4ORXRCCdnGVaBfrHG+Bswq7deumF2pmNf6BZnTo+BUi/FfBLzAC0bGnqdRe9bQghwQB\nQUAQEARaMwJlBWlIW3y/GqKyaihyRbFaKmC2VGHrvBswdPLvOs2Tf2hhefPNN/Hnn39iwIAB\nuOCCCzBixAjdBFcmeeONN/Drr7+C22PHjsXNN99sX4rnpZdeQu/evZGamooff/xRB9m+6667\ndNDsZ555BllZWbjoooswefJkXR/zp6SkYMuWLZg7dy4GDhyIqVOnol+/auK4c+dOrYXavHmz\nVkoce+yx+Oc//4mgINsEsLr6O2PGDKSlpeHbb7/Vz9n77rvPkzA1eV1iIqwD4r9/jsSCT+Kw\nZWmEJlnblocjdU3ooVAMtkJc6DMzM1PvmCuLse2Xc7Fr0c3I2vQmMte9hM3fT1Dbb9fRgiQL\nAoKAICAItHYEcnfPVuTE1UxyC0pzN6Fcrf7hSWFg7NNPPx0ffPABTjvtNL2A+vHHH68JE9u5\n+uqrce+996JXr14YOXIknnzySZ3f8Csm8Zo2bRq+//57nHLKKVi0aBHOPvtsTJo0CZGRkejb\nt68mWCtWrNDdZn4Sqs8++wwXX3wx1q9fj3HjxmHv3r36OIna4MGDcfDgQVx++eW63UceeQT3\n30/SCdTXX7ZFSxFXUunfv7/O35L+iAbLxdnatT4Uuzco05/VpAlVSWUA0vKi0M+Ug4h0M9on\nVZv9ioqKdJT3gk1Pqh/LRvVmUqlrtB56U9m34hFEdBiFsLhBLlqSJEFAEBAEBIHWjIClqlTp\nrgzf3Noj5XFPyltvvaVf/Ldv327XEHHm+5w5czB06FC8//77WiM0ceJE3SzJ2FFHHaXTSKIo\nJDWzZs1CQEAAkpKScN555+G5557Dbbfdpo8vWLBA5ze0Yqyf2jLmJ4nq2bMnHn/8cbz88sta\ns0WNF7VmXLT60ksvBQN3L1myRNdVX3+vvfZaPPjgg5oItkQzoRAsfYqd/6QqPypGY6fkKy71\nbWovFFQEQ4W7Qmi7TCeCxTxUmRbu/Al+h8gV0+xi8kdu2rdCsOyAyIYgIAgIAm0HgXYJR6vn\nSZXLAQcERyMkMtnlscYmrlq1CqNHj7aTK9ZDokN5/fXXERwcjJNPPlnv8w+1WAkJCVi+fLnW\nUjFtyJAhmixxu0ePHvzS2jC9of60b9/eKfA2NV0kV4ZMmDABhoaLWjSaIefNm4dNmzZh48aN\nmuyxTUp9/TXqa6nfYiJ0cebKS22wFKvfxJe7ockVs/2Z3gVb90fXKmExV6HA3Fm9o9hImVMG\naxWqyg44JcmOICAICAKCQNtAIFIRrJikU5R/O4NRO4hyeE857gmY6PjuQaHbCjVQriQvLw/R\n0dFOx00qzlCHDh20P5ZRJi4uzti0f9M8WJckJyc7HYqNjdWmPyauXbtW+2jR7EiHdZoLTzzx\nRHv++vprz9RCNzx7ZlsoCDW7HZdYoWNahStC3rNd9VESqN+2d8eOvc4XmsnPHwjughJr1+rM\nh7ZMyvYeFje4VrokCAKCgCAgCLQNBHqPfwudh96CgJB4RagCEBrTF33Hv4f4nud5HIDu3btr\ns5xjxTTvPfroo9p0R0KzevVq+2HGdSQJGjZsmD2toRvUTjnK7NmzMXz4cJ1EEx99qejo/uGH\nH+KGG24Al56jgz2lvv7qDC34jxAsFyev77FF6kfAA1aM6QCkROXZc1VZ/PDylwOx/4Dz+oIx\nXc9AGdqjHLH2vFDmwYCQWMT2uLA6TbYEAUFAEBAE2hQCfkp7lTTiboy6fAOOuWavmjm4ADHd\nJjQJBtQU0TH9+eef11okkik6ldMUSH8rznx/4IEHsG3bNqSnp+Oee+7RGqwxY8Y0uj9r1qzB\nO++8Ay4nx2+2eeWVV+r6aAqkgzuP0ZGeMwK//PJL7XzPDPX1l8epTaNpkUSwpYkQLBdnLCJG\nTV299ACi2ldponVSt91IjCy05ywuC8TMzwcjr7B6ZkhobH/E9ZqC0oCBMCNY543oeAx6nfqN\nCt/gWl1rr1A2BAFBQBAQBAQBDyBATRQd2amxIjmhM/stt9yifahCQ0P17EDO8KNWic7o9Ili\neIVOnTo1unX6WD322GPa/MjZga+++ipOOukkXd/tt9+OqKgodOzYEfHx8XjxxRfBcA87duwA\nI7TX119WQMd7EjI64rc0MSlGWff0hpY2Ghf9dZf18sQfOHDAaQkcVrdvWyDS929BYBTwzIdD\nkXGgmix1bl+EO6esRliIc3wsf6XL6pbcHQFBES56VDuJToe0WRcWFoKzEr0tVSomi387MyoL\ngCB/Z82cN/oSEhKCmJgYPRuzpKTEG03WaoM+CJys4AthsFregBi8tqzMN8sq+XL8ERERaNeu\nnX7L5SoJ3hb6oPBBVHN1Bm/1g2MnBmy/stI2C9lbbbMdf39/ff1Ry+AL4bXP3wBnljH0TWOF\nfkf1+Qk1tl5X5fjYpJmL92xvCGffNXRs7COJFEMc8BqvKTzfTOe990iEIRw40/CVV17R7SUm\nJrpsj89Xxr3i9e5K6usvZyny2jACe7sq3xzTqt3+m2PvfNin9QsjsGUJCZIJlaGM52HB5BFb\n8MFfA5BXZNNQ7c2OwMtfDcI/L1yLoEDOMbSJGSHIOVikZma4R7CMct7+tqhQEl+lPYNf976B\nKmsF/OCP4ztegMt6PIxgHxAtb49f2hMEBAFBoLUiQPLUpUuXOofHl3pPC8lcXeLKcd4xb339\nJTEzgpI6lmnu22IidHGGUteGHCJXzgcrsky47IRNCAuufsvcnh6FN77tp6LyOuel6pMzNpqz\nfLTjQfyy93VNrthP5XaIxVlf4eVN1zfnbkvfBAFBQBAQBJoJApyVWJdWqpl00WfdEILlAvo1\nc5U9UIujWtW2XZVlwfTJ6xEUUG0WXLsjHh/83KdWTTQ50bGvOUpBRQ7mZbwHs7WaLLKfVWp/\nXe4C7Cpa3xy7LX0SBAQBQUAQaEYIMGL8U0891Yx61Hy6IgTLxbkwV5JMOZIrI5OK7K4CkPbo\nUoDrJm2En6nafW3x+gR8Ma+7kdH+TR+wI/ErsFfk4Y30ki2q/64txIF+wdhdtMHDLUp1goAg\nIAgIAoJA20FACJarc+2KW9XIN6jHQVxxxhaVWk2y5ixPwo9/dnXKSXJFktXc5hK0C4yFRQVB\ndSX0zWoXWDvQnKu8kiYICAKCgCAgCAgCtREQglUbE7UUDmcyVROn6ixWhEdVk5JjB2Zi8rid\n1YfV1neLUjBvRaJTGs2EnCHTnCQpvB8SQrsrx/bal0CIfzj6Rx/fnLorfREEBAFBQBAQBFoU\nAq5tRC1qCJ7v7JiLc/HdzA6oLDPIB8mWFX7+VvQ6yjmMwPij0lFaHoAf/+pm78hnc3oiNNgM\nEjBD6PDOWRB0CGwu8s/+b+OJtZNRXKXiMygXdxPnEaqAeLcOeMcn4RqaCy7SD0FAEBAEDocA\nZ70xxIw3hGEaRFoeAkKw6jhnE2/JwoY/IrB7YyjK1HI30QkF6NzHdYyeiaPTUFIWgPkrjSmq\nJrz3Ux+EBJkxrHeOvQU6vZNkNZdYHglh3fH0qD+xLOd7FJmyEGyOwlHxZyEi8MjiotgHLBuC\ngCAgCLRSBEh6vEWwWimErX5YQrDqOcUDRheBH4slCpmZZSqonGuCxSouOmW70mT5Y8kG2wrh\nVqtJh2+48bwNGKj8tQzZt28funbtao/pUV60B/tXf4jthdsREJaIqOQL1dqFg4zsHvv+7rcT\nEXNgFwKUMi5XRfMdNOY9JMUdhfyKTOwp2oSsqlRE+yWgR7vhQrA8hrpUJAgIAq0VAQYa9VZg\nYCFzLfMqEoLlxnnjxc1lBPi2UpcvFQPlXqmc3ssqArB6W7yu1azWLXz1mwG4+YJ16NvNFhOL\nP0qDZJXkrMSOuZcq66NF/VfhEtTahZmbPkTSsU8jrscFbvTMvSy/f5qMpCqbT5lJGQJDikuQ\n/fMF2DLyBnya84YyfqoIWMrh3U+1v2D/J7i+zws4psMk9yqXXIKAICAItEEEOHGJEca9IUKw\nvIGy59sQw24DMOWSAlwSgEtLuBKaya+ZuBH9k6s1VlVmtTj0VwOxPT3SXoQ/Si5hkLZwOqzm\nchu54lE1e4++XulL7kNlqWec4r+fOx5RilyRWPEfxdgKXPWqDjJKckXh7EGSrTe33oGiylyd\nJn8EAUFAEBAEBAFBoOEICMFqIGZcLJOrkfPblQQqG9wNyizYO6k6intFpT9e/GIQUvdVr8GU\nn7MTeaWu64BfAAoz/nBVfYPT2mVvc1mGJCuyOlaqUx46b27M+9MpTXYEAUFAEBAEBAFBwH0E\nhGC5j5U9Z0BAgF7jqa4ZgVyX8KbJ69A9Md9ehqbDmZ8Pwq79tvUJrSpiejniUGI1HOPtWfWG\nxeyZRX/VxEe75sq5hbr3SL4qLZ5pv+5W5IggIAgIAoKAINB6ERCC1chzSy1Phw4d1ILOCS5X\nDg8JsuCWC9eha8fq1dZLygPx308HY7ciWYFhnRTzCUCpNQFl1vZOvaDZMKL9KKe0xu7kRUQr\ns5/N/8qxDqZV1BFQtdJSjl6RIx2zy7YgIAgIAoKAICAINAABIVgNAMtV1sjISD0rkFqtmsJY\nWLdetBad2xfZD5FkPa9IVnp2DGK6naVIlgnF1q6osNriY5kU6YrreTFConvZyxzJxgnjZqkl\nnOnZVU2yjO1tXfoy8pVT9f6q/VMSr0KH0GSndNkRBAQBQUAQEAQEAfcRaBYEi0E4v/vuO3z7\n7bd6WZma3TebzVixYgW4qOTy5ctrHvb5fnBwsPbLchXfKjy0CrdfvMYlyTqIkxDXawoCwxNQ\nbOoNU1hvdBp+H7oc/bjHxhQTkYwOp36Cg4F+mmSRXJUpUnew79m47MRfcX3fmUgM7YVAvxDE\nByfhku7/waU9HvJY+1KRICAICAKCgCDQFhGorXbxMgrz5s3D448/jqOOOgpcUuaVV17BY489\nhpEjbSYqkqt//OMfmnidcMIJ+PzzzzFu3DjcfvvtXu5p/c1xZmHnzp2RmZGGrL2bVMSFYASF\ndYZJTS2MCLORrOc+HYK92TYfrJIymybrtouBrv26ws9aqMpEIDJ5kEuTY/2t13+0a/vjkHDB\nJizJnIWiqjyMij8d7UO76UJHt58IfmjuZCBUEUFAEBAEBAFBQBA4cgR8SrAqKyvx2muv4Zpr\nrsHFFyumoeSJJ57AG2+8YSdYJFRFRUX47LPPEB4ejl27duHyyy/HmWeeiT59+hw5Ah6sYf/a\n55G5/mVUIBZFliSYAqMQ3/tSBEd01STrtovX4rlPhmBfTrhulSRrxkd9MWXgK0iMVrP9LGZk\nbEzA0JPuQUR0ksd6Nnffe/hwx//ZzYSfpz2G/lHH4+7Bn3qsDalIEBAEBAFBoOUhQCXGo48+\niiuuuAIpKSkuB/DSSy9pJQgVIfXJunXr8PPPP+Puu++uL1ubOeZTEyFP7PTp0zFx4kQ74Iw1\ndfBgdRypRYsWYfz48ZpcMRNDJAwcOBCzZ8+2l2kOG9lb3kfW+ld0LKsgazYisQmozEb2xrdg\nruBaf0C7sErcfskaJMYX27tcVhmOD9fORHpuX5VmRXlxJlbNflgFsKs7ary9sBsb2wtW4YMd\n99vJlVFkY/6feH3LrcaufAsCgoAgIAg0EQIMSjp7zzu4868TcO38vnj07/OxNa95uLsYBCs1\nNbXO0b/44otYsmRJnceNAyRYzz77rLHb5r99qsFiZPQxY8bok3DgwAEsW7YM33zzDaZNm2Y/\nMRkZGUhMTLTvc4P7rsxZJGP5+dWhEeLi4tzWchkLd/KH0BjJXDcT1kMBO1k+wFSKKEWyitEb\npQdWITrpZF1tTKQVd1+2Hs981F+ZC21xsSrM4fho7X9xyaA70DV6DSrK85G6eSH6DzsNgYGB\njemOvcznax+1b9fcWJI1C7cMeU0nG+Ovmccb+1yfkcKx+mptL1+O3zjHBg7ewLxmG74cvzFB\nhDiwH94Wttkcxs/zX1cQ46bEhFHCfRkp3Bgzx29cC40Zry+uHXf7+b+Nt2Lhvs/0ihkss/7g\nQmxYtgh3DfsQw9uPd7eaJslH3GlN8oRMmTIF/IjYEPApwXI8CQ8//DDWrl2rydPo0aP1oaqq\nKuTk5IAz9RyF+1u3bnVM0tvPPPMMNm/ebE+nH9dHH31k3z/cRl1xrQ5XzmKpQlVZTq1sfmr+\nXoQiWeF+++waOGZSlk7cfdF8PPFuH+wvspk5Ky1h+Hjd87ho4F3oHr8O5vJckHT26NHDvm5h\nrQbcSMgp31NnLrVADqgxNMRx20jz5jcnCbiaKOCtPvh6/DSB8+Mr8fX427WrDsTrCwx8Pf6a\n9zlvY+Dr8UdFRR3RkEtKSo6ofFMV3pG/Cr/v/URZESz2JjjZyKruv//b8E+8duIGj75YUNM0\nf/58jB07Fv/73/+0i82VV16J008/HXxG/vXXX/rYVVddhdjYWPA5e8MNN+COO+5A3760pAC/\n/fabdsspKCjQLjz2jqsNTkpjPZxwxmuGFiYqRUhwly5dik8++QT//e9/Qf9qbtcUmiH/9a9/\n6eTVq1fj5Zdf1q4//fv316bFmgqVmuVb0n6zIVgvvPCCPnH0v6KP1VdffaWJFd+seAE4Cvdd\nPYjoy+VoXuzYsaOTRsuxjprbERERKC4uVlqoxmmwAoKjUVVeHb3dqN/PLxCxcTGIUhcy1yA0\n6g8NDcBlQ27Gx0pzta+wv85eZQnBp+uexeSBD6Bj3wiNB1WuNIsaWg6jXne/Y4IScLAsw2V2\nBhQ1NH58uBUWVsfsclmgiRI5NhIrTnLw1tpeNYfiy/HzDZIrA/AB4ak3yZrjO9y+L8fPWbjU\nXPL3V/O3frh+e+I4Hwy8n9DX0xfCsRMDtk9zjbeF91hef8TfF8K2+Rvg/YdrtTZWOI7mKOsP\n/oEAP6UlchG8Oa8iC5mlaUgIc+371JjxbNu2DTNmzMDHH3+siQ9Jz/nnn6+tRbTqnHrqqZog\n0Qr01FNPaczffPNN7QdNgvXLL79g0qRJWhNFJcXVV1+tX/aNvlx22WX6OXvddddpBchdd92l\n1+i97777sH37dj3bnwSL5G3AgAFGMeTm5mpfL2OCGgkYfanZ1gUXXIC3334bgwcPtita7AVb\n8EaDCdbTTz+NjRs3gox4rGLInlTLUoPEk/bTTz9h8eLFOO200/RJqvngJ6tmgM+acvbZZ9dM\nchn2oVYmlcAHPB9wBgFylae+tPi+VyNz3YvV6wraM1vRruu5miCR8JFk6YeIXzii4zrh0iG3\n4ZO1zyC9YLAuYbYG44v1jyEieROOandQEw5q67p06dIokjUp6Q7M2HCZvTeOG4Oix+kxM40E\n01dvgHzAEH+SK1/1wZfjJ/58yJSXl6OsrIy7Xhdfjt8wT3H8/HhbeA8zCK6322Z7NJGRYPHc\n+4Jgs30SHF/99viCxfY5/iMh2K5eun1xPmu2ydiC9Rm+edzTQusHtVDDhw/X1xRDIPH8zpkz\nRzfF5xxn7JNg1ZRbb71Va5geeOABfejCCy9E79697dmoAeNktKlTp+o0kjJXLwZDhw4FPxS2\nTb5ALdqTTz6p0+688069b2i5rr32Wt1fRhWgU31rkAZTfj7oZ82ahZNOOgndu3fHf/7zH+zc\nubNRWKSlpWlmTdJhCH9kPFkG0WEbGzZsMA7rbxI8hkRoTtJxwE2ISTlXdUnphfxDVHiGILWk\nYDhSTnxDzSK0zQgkkaA2it+UWBVQtF1UDKYMvh3J0at0Gv9YrAF4+/uBWLTGRiJ5092zZ0+j\ntDuDYk/E2UnT7XUbG4kq5tatA94xduVbEBAEBAFBoAkQGBp/itJeuX5x6BiarELmeG7GuNF9\n+rINGTJE75LAJiUlaYWFcbx9+/YulQ/UYlIDxue7ITTpORIsKlduvPFGMGwSyRCPn3POOUb2\nWt/USl5yySX6+fXpp5/qFwq+SK1Zs0a/UN17770wPiT7f//9d606WmpCgwkWHdj2798PAkWb\nKQHu2bOnVj9SxVdT21QfMMnJyaBWh6EaaKrKzMzUrJq2+GOOOUYXnTx5smbdJFUkXTQdUtNx\nxhln1Fe114+Z/PzR9din0W/iPCQd/QSSR7+MAecvRWTncU594QXEi51j9A8MQ8eBNyB5+DTc\nftHfGJicbs9rVUTtg1/6YM5yG5Hkm116enqjSNb5yffguVHLcEaXGzEu4TLcM/BTPD5irnZs\ntTcoG4KAICAICAIeR6BLRG+c1/0OdUevftxSaxXoF4zpg17zeHusUD9f1LPGEGppHX386rI8\nGWbamppERxeV559/XgcFZ5ikmTNn6ln9JEh1yT//+U/tr/X9999rSwnz0QpF4kXNOTXYxof+\nXDRnthZplG6SGpiLLrpIf0iKaOtlvCr6QN18880aIDrQUSVY14k0ALztttvw4IMPajssAaeG\nhw50hsMliRZjZN10003aREbN1f33328/UUY9nv6uKDNh8+II7Ntm0zZ16lGGfscVISi0bh+t\nv3e8jvd3P45Cf7MKHAp03xmP246ejbCQeKfuERMSS5oFfv1pBnYGFaA0MB/t+/2G5JI7kZZ1\ntD3/F/N6oqg0EJPGpGn1OTVZ+3PfQ8WuLxBUWY7S0CgkDbkbfZIvsZepuWExV6Bi+zcYlDoX\nlqpShHWsQPngrlqztnXhHGxfrZbqqTAjMGAvkvquw+DTzqxZRavdX3twPn5Mfxk5FemID0rC\nmYqEDo51JsWtdvAyMEFAEPAKAhf2vBc9ooZhzp73cLA8A90jh+KclJuV71V3r7TvbiN0veGH\n5kU+vynZ2dnaL4rbNPUxJuVZZ52lP3xmP/LIIzo4OJ/jNeW5557TvlULFy7UigXjODVoJHx0\naKeSxhC260jmjPSW+t0oguU4WBIFkiQ6zlETRbsul7Thh2pF2lvPPZemM9fSq1cvPdOPDndU\na9IxrqbQyY6OdWS98fHOZKVmXk/sV5abMO+9eJQW+iuWbbOe71wVjr1bQ3DK1ByXJGvh5qfw\ndpayG/OlQRUxq882aw5uWzIML56wDUEBNqLm2L/vf7kFizqtRExJd70mYFVAPhKOUxHqlz2O\ntH0n2rP+vLgbikoCMeXUbdi0YSYi8nerOFuBCFShIEILD6J40b1YVbIHw/rXDu5mVcFLd8y9\nDCU5q+z+Ybmp3yJ/9y+oDH4QadtusnVY9cBc0QXb1o5AYfZ7OP7y5qUhtIPhwQ1bANYH1Gwe\nm2PtgdK92Jq/DJf3eAQnJV7hwZakKkFAEGjrCIxofyr4ae5C3yoqTSZMmKDNjHQDMlx26KvI\nZzxDItGRnmSIBIyKD8P1xRgfrU333HMP6EDfqVMnbYExjtHViDMXeYwrs9DZ/c8//9Smxvff\nf9/I1uK//Y5kBLt379YEioE/OVuAU0JJpn788Uc9E4EmQKr73n333cM2w6VaXJEroyCdIL1B\nrtje1mXhTuSKaSRa5cX+2KS0Wq7kw8xDTnk2PmbLorbLFcLvLj+vVpH87F1Y0HEFyhWpyo7Y\niEq/Mp3H5GdGwlH3YUTyQqcyf6xJxEtfJiH4YKaKR+qHAmtPlFtjFC2i4ln1bfWrynetwqkM\nd3LTvnMiVzqDitdVVWnGru1Xq10yQsfLIAD7M6biwK7NOmtr/VNUmYuPdz5kJ1fGOEm2Ptr5\nIIora88INfLItyAgCAgCrRUBLlVHUx1Jj0GM6CxPofWFDug7duzQpIrPbDrOk0zVlLfeektb\nXUjYSMDoGmN8aIIkcaN1im5AnMVM3y7OSOSMwtYiJsVM67Z5uRglfaW++OILfPjhh6Daj8WH\nDRsGmgTpn8VpoIZQfcgZBlQ5Mq8vhIFK3RGSN8684HhmvxOPgmzXAT7Do6tw2nXZTlVWVJXh\nur96ac2V0wHuKHRjzAF4flyq06EfvrwJX3b4QZWxaU9MVn/ElHZHSFWUSgpC94IUtW7gfzBr\nYXenct2i/8aFA+5FcICK+aIIXDj2IMSUpZqxIvqkV5GS6Kx5Slv0T+SlfetUB3dKy4/DvgO/\nqa3a4zShBCl9P8KwiWfVKtcUCXzzoUmY15a3ZjKtPjAHL226HlXW2qQ0wBSE6f1fx9DYk5ti\nuLXq5AxK+kxwGrOvZhH6ci1K+mHwBssQK76aRcj7FmPu+UI4dmLA9n01i5DXn2OIG2/iwLb5\nG6AmpKbvT0P6wVmEjn5GDSnb0Lx8TvD51hCf44a24ZifPkreGpvRLu9FDB1Sl2KDxxhah+a+\nIxFe83Q1olartYmj6sKtsdGmyumUnNl3yy23gIHCVq5cqX2vHMkVK+NFQQbsKqSCW435KJMi\n6XVKfcfqKuTKD83P5Ay91WTGwdBtKArK0tWwC6cfuweXn7ZFvTVUc+BdeSPx/upXUFiuiKxK\nLrYm6Q8L+ZmojXIWU412jKMmTezqHmhjxmnU3RK+68LF6LtyuzQ25VsQEAQEgTaHAF986yJX\nBIMvBUdKrlgPzYytkVxxbA1+ijCuBdWBe/fu1dFajamgrMyV/P7779oB3tWx5prWuXeZIofV\npMboJ9N4rKbQvyqEvlq1i+isg0JsMa4cyx0/9h4EKm2Vk6gqCkJ2IzdsBxIjbLMHTxiyH9dP\n2ogAf5umi/kzi3vj3VWvI6e4my5eau2AHFMvJLYf51QddyI7Ky2MizgrwYGrFHFzHVjQqrRa\n3Yb3rVVXa0roFTlSKQBdE0ym87iIICAICAKCgCDQWAQaTLAYu4LBRqnJclyWpq4OuNLe1JW3\nuaT3GlmMiNgqJ5JFchUWZUafY4pcdvOaLvfZ0h1JltoOt/jhqmNm1SoTFdcFJ2UNB02DUHm0\nsKzyr+p7sC/GjJ+mNYBMH9Y7B7dcuBahwdUR7fPLO+Hd1f/D7nwbefPveiH27c2opWKP7nYm\n2nU6QZEph/kMKrp8QHAoevR7X9XOyNFG9GiSODM6d3sHMZ17qu3WK2EBkbiy1xOKStGDzUa0\n+M39qb2eRGiAb5dtab3Iy8gEAUFAEGgbCPirqZUPNmSojEH1xx9/gJ7+XGGbUzapzaIfAR3Z\nmhuhcnf5C/oA0J5MUSGt0G1Aqf6uVF7qweEWpAwpwcjT8xEY7MigqpFLjB2F3v5dsTVnPsoV\nSQlQ2Qb4JeGB4/+Gv58DuakugkEDJyH4750oqIxSyq8gxKrZhCcc6IdpF72v1aZUwTLwG239\n8VHlGNTjINZsj0NZha2+Kksw1mdNQGLPJAxWszEZoJU+AZzpYSyayvMR0+1sBITGqaV88lXs\nrUiQdCWPnonEAaMQFvSzmjW4W/meWRSBW4PewxZh6FnOflwOXW6STfbViGTuTR+UrhED0C/6\nOBQph/bAgEB0jxiOq3o9hWFx45tknHVVShU51fFHGsm6rvrdSaf/iq+WSuEEFoYs4e/PVURo\nd/p/JHn4G+Hv31v+fzX7yrEbkdT5W/e20JWD159x//N2+2ybvwHifyTjN64jb/WffljeWtqL\n1yivE5GWhUCDndyN4dEh/Oeff8YPP/yAX3/9Va+bR38rRnTl2kIM29AcpDFO7t7sd5W5Cn+s\nVibXwjTEhXTAmEHnqXXRqk2HfOAw0r1x88stCMLMLwZjX064QzetOH/sTkw4Ol2n8cfI8Bnu\nOEUqXoXMXUEwVcao0BJ56JhSDn/XfNChPc9u8gbrKSf3rfnLsbt4PSICYnU8K2qq6pMqSyXW\n5y5AWWCummAQi4HRY9S6YbUd/+urw/HYlvwl2FO8CZGB8RgUM05pwlzPOnXahQ1QAABAAElE\nQVQsI07u4uQuTu7i5O54T6i57Qsn95p9kP2GI9BoguXYFGd+zJ49W69fRKd3Ctl9c5DmTLD2\nZm7HU2uuR2FwqjIVKlajHM8Dze3wj07PYlg/5Tt1SIglZ1kwDhilpMwfr349EFv3RB/KYfsa\nPXQfLhm/TWnMbPucQlufk2JpoR/++DwWRbkBWltHshUUasHoCw8iMr7aHOnUSBPseIJglZmL\n8d8NV6s4Vks1QSJm1Bze0v8t9I8+3mWvs0rT8PS6Kcit2K/KBMBsqQIXx75r0CfoENrNZZm6\nEkuqCvD8+iuxo3CVvX0u8MrliPpEVQeOdVVeCJYQrLZMsHj9U4NFDarMInR1h7BNGHPnhdl1\naUn1FQKN1lXQlLNs2TJwRWx+uDgzp1hzwWYGDhM5PAL/XXk7CsNSldtVpTIRVuoC5aYKvJZx\nJ55PXoCwUJv2hRopzsSkCpxTucNCzNon672f+mL5pg72hv5YnYiD+SG47pyNCAlWsxIPTXtn\nWS7RU1MWfxODooMBigybFLmwHS0r9sOiL2JVKIosTbpqlmmu+x9svx/bCparKFZmVKjgqpRK\nczme3zAVM0YtRmRQvFPXLYpNPqeOHSjfq7BXpcw2/A+U71NlrsRjI+apWZnuuyi+s+0e7Cxa\nU6v95xTpmnHUYkQExji1LzuCgCBgQ4AuJoyP1NKEWiUSYxFBoC4E3H+CHKph7ty5egVsmnS4\n2CODkpEAcOXtpUuXagLw9ddf19WepB9CYMeuVcgOV9HVFblyEhWSodK/APNWfuGUzB1qpGiG\nJd6Byslr2tmbVCiHXU75NqTG4umPhuJggc1ez7dCBoStGV+o4IA/cvcHanLlVIEiW+WKZGXt\nDnJKbs47FeZSLM76BmZrDSx1p61Ymv1dre7vLFwNarCMKO5GBhK0TJWeWrjGSDrsd2lVIf7O\n+cll+xYV1PXvnJ8PW4dkEATaIgJ5eXk61lJLHDvvw/Qf9danJWLU1vvcYA0WA4b+8ssvWpty\n3XXX6VD43bt3b+s4Nnj8+3P3qBlrSnuE2qY4ziw8WGqLh1WzYk4m4A+ab310COUahR1iSvHh\nL72VFsrGl/dmR+Dx94bjhvM2oEfnAh28kCTL0S+rrMhfzVJkhPqaLShLpZoxWaaWCWopUlSV\npzVHrvprtpq1CbDmMZoF/ZWvleWQtsvxONPz1HF3paAypxZRM8oyACzbEhEEBAFnBOggzuCi\ndBFoiUL/WG9NjKC2jBNRRFoWAg3WYDGc/RNPPIHjjz8e7777Lnr06KFX0+aK2Vwt2/ATalkw\neL+3PRIHqkevER7BuX2LqRJdo3s4JzrsccZd165dNcll8nGDMpXJcJ1TGIfCkiA898kQLNlg\nMyHSJ2n//v3al4vb7VQYClfkivVZ1EKK7eJqEz8ea44SFdQeQX6hLrvGgKGJYb1qHUsM7YlK\nS3mtdCYwvVNYT5fHXCXGBieC0d/rksQG1FVXHZIuCLQmBIz7Eb9bspBkeevTknFqq31vMMGi\nturee+/Vfldc2uOnn37S6xbNnz9fzyBkNPdjjz22reLp9rgTOnRHr8JT9bI4joVMlkBElfXE\n6GGTHZNrbdMfiySLZIvSt1se7r18JdpH20JNMK3K7Id3fuiHbxakKFMgU6CXo6E2yz+4DEn9\nyrS2ynbE9pfaq5hOlYjr7Mrc5piz+Wz7qxhfZyVNh7/Jefafn1pnsV1gLI6Kr73kT+fw3mqW\n34m1yrCOwTFjXZKyukYc6BeM07pcX6suth8d1BEj4k6rq6ikCwJtEgFfLgvVJgGXQfsEgQbH\nwXLsJWd+9FLxlwYPHqzNT/T32b59u141u4HhtRyr9eh2Y+JgebQD9VQ2Mmkstm7ZjoNBO1Qu\nZZJT/lcdi4fjruEvIrJdbD0lbYfoA8CZJZx5Qx+riLAqHD0gE6n7InGgoFrtvj09CrszIzBY\nxdEKUL5bfOOipjGpjxlVZWHIzw5Qfl2sU4V3SC7HsZNyVbyswzbvsQyeiIPVO/IorXnaXrhC\nj4Nh9ZPC++OOgR/UcnA3Oj4sdgL2lWxDRul2vcwQzXkj4k7FdX1mIlDNAGyI9I06BpzJSN8u\n4sj2kyMGq/bfP6yDu8TBkjhYbSkOFuO9Oc7u5vXPJVd4H5M4WK7vOrzXSxws19g059RGhWng\nD4TBRhn/6rfffsO6dev0GLniNuNgTZw4EVxSpzmI4w+5vv44LvZcX76mOJZbsE8RoM1IiE1G\nx7jubjfBsAJGEFPGJeOHYlYmvo9n98KiNZ2c6uoUV4x/nLsOCXHVpjEutBoZ3lEtjhOLSmse\nQtu5cMpyqsXzO/WFaaAJgTcXd4UO53uLtypSFadCLSS7VSyvIgtVIYUIKGunNE7VszLdKlwj\nE8M17FWkLVqZLduHdK1x1PWuhGmQMA1tJUwDCRQ16I4BOqmF79ev3xEH2pXFnl3fXyTVdwg0\n2Mn99ddfx6233qoDX/KtiyEZ/vGPf2hS1VoXbGzK07N+7nrsWNNfvb0Nx06/XCSmrMCoc/rB\nL8C1k3llVQn+WHQZwvatRLDFimLl8B7Y72IcPeQxHUuG8bL8/a1qkeitSIwvxhfzethnCmYc\nCMfj7wzA6YMeQI/BQejd6Qykzn9NRYZfjgjTDuVyX4ZI/2OQfOH7qn0vqrBcAFyauwnpyx5A\ncc4KRbCUqS9xHLqMeghB4c6k0bFofvpc7Fv5GMoLUlESEI6KHucjcdi9aiyu/bNI3n7b9xZ+\n3POKiqafrYKDtlemxpswPvHqBpE6ow8r1GzBz1OfQGZZGkL9wzEm4RKcn3y38g+r1iYaeeVb\nEGiLCNCp3ZFctUUMZMxtB4EGEyzOmjj//PM1oTrttNP0EjltBy7PjnTl9+uQummcqtRGZiyW\nWKTvGIPi95fhpKtdO1n//vNYxOZn0aCoxISIKjMs6z7CorJcnHD0K5pkMfI7zYAnj9yLuKhs\nvP3dAJRX2WJqlatAprNWz8BJ+a8iossLMPvtV/UEI9/aD+GmvUr9tRhbPzoZfa9cqFvwxZ+y\n/G3Y+vM5sCoNnXK5VwTRgoK9c9UyRCvR9+zZah3F2jGl8nb9hLRF05VlzqaBs1QV4cC2j1F6\ncAN6TvjCJWH6LPVRzN73tgqvYHPoJ8li2sHyDFzc/f4GDf2vrK/x5pbb7bMZS81FmLPvXewu\n2oh7Bn/aoLoksyDQGhGgu0Z+fn5rHJqMSRBwiUCDndypvfrggw9wwQUXCLlyCal7ieVq3bXU\nTSeqzDU1RcHIzTkOmdt316po2+4vEJevNFQ1jvAkBm//CeWVtnUIGbSPfg0Ui/UZXDV8GuLD\ndup92x8/zEu9CZ9uukURr7BD6SYUW7ugAL1Q4peBwrVzHfJ7d3PfqqcVqeIMSwdzpdo3V+Qj\na9NbLjuTvvwBO7kyMljVMjglOasVOZtnJNm/cxWJ+nXvG3ZyZRwg2fp17+vILSfxdE8YtPSj\nHf+xkyujFONybSlYig25fxhJ8i0ItEkE6F9F7bqIINCWEGgwwSI4P/74I6i9Sk5O1iSLsZlq\nftoSiI0Za87ODFWsJlWy1WQylSNzR+03vf375qj1Al37IwUoc1d6po1IOM4wNJXkID50L64e\nfi36xC9w6uqWnLF4a+XbyC5OsadXWiOVNqs/9m/zHcEqzv5bkSUSLGchYSra/5dzotqrLMlU\nzvo5tdJ1goKrOJuO786yUwUS5VI2roTpqSoqu7uSU7YHxSoWlythmAib472ro5ImCLQNBBgi\nhlp1keaHAM/LQw89hNTUVLc69+mnn+o1iN3K3MYzNdhE+Ndff+Hcc8/VMz6GDRuGY445po1D\n2LjhB4by4V4Xv1UhSINrHwsIjKi3sZDgOPtxLo1DnzhTQIGazxaGIP9STO5/HxbtvgoL0qbZ\n2z5Y2hVvr3wTZ/Z5EgM7zNblLcobK8/aXs/0YXBSBrnzpvj5h6oIYbkum/QPspk6HQ/W5WNl\ny+OvZkTWDtAX4h+htHsOGjKHCi2K3PG4uxKi/K3qEpNabifEr+7jdZWTdEGgtSDAJbu8FZCz\nuWNWqQIbF5krEB0Q4tJtwRf9J8F69NFHMXr0aKSkVL9s19WXzz//XC/ddtZZZ9WVRdIPIdBg\ngvXdd9/pN5GNGzeib9++AmQjEYhP7qyWu9mLyqpEVUMNTZZariZ5aFKtmnv1nIZdm76qla68\nlFAUFIhh7U9wOsbZd7E9ByF0zULlvt5ZBw8Y3e0dJLbbiFmbHkRpVZTOX2kJVfsPYXfeUEzo\n+YLS7FQgovuxKCws1JMZSLK8GUU4JuVcZG96XblT1YjFpeJdxaRMchojd0i6wjscrTRVf9fS\nfFktFYhKOrVWmV5RIxWJClOap9qaQpKrnpEjapWpK4HrHKZEDEVa0Vp1JpxJW5Vqf1jchLqK\nSrog0KoR4Ixzrp/a1qVYkapHdi7Ajwe2okq92EUpgnVb0jG4KGGQz6GhxYNrC7srshSeu0jV\nrUKpswaqEY877jghV3Ui5N4BPz8TRp25V73FlKgCZYcKVajvKgw47k+ERdfW1MRH9Yd50GXq\nEV4dA57u2ZWKSCUd/8KhOpy/Thn8NPbFlSEcO2A12R7+ybFLcemoq9A5Sjm1O8jKjHOVNusN\nlOM8+EfY4nDRd4LL8tB/4khi1Dg0c9jNhEE3IzRmgAqCavinKTufmkkY3fU0xCSf47J81+Oe\nVVq/WFXmkNlPkTFOAkgc8X8Iiao9YYAz+27s+5qOwG5EYec3Pzf1e63BM/+u7zsT4QHR9oju\nfkoLyPYv7/GoChfRzWWfJVEQaM0IUDPibpic1owDZytP2/gtfjpErjjW/KoyPJq2EB9kMG6e\nZ2XJkiV6tZXFixdj6tSpmDx5sl5lhfdyrsJy9tlnY8aMGaBmkcL0a6+9Fps3b9b7L730kg7B\n9Pbbb2PSpEm4+OKLMWfOHH2Mf15++WV8+OGHOvYiIwisWrXKfowb77//PmbOnKnTGJ/x6aef\n1j7bp556Km655Rbs2rVLHyOpY7s7d+7Uwct5fPr06a3qmmlwHCyeIAKcnp6uQWruf9z9gfsq\nDlbhgVxsXbQPhQfDERpRih6jIkHtVn2yK+NXbN/0Eqyl2QiI6oEhgx9CTGRtEuFYx5y19yI3\nbR4s5UmwhnZG/5QrVOTxKHz8Qyf8taWXY1YEB5px6albVdBS5/UQGRA0ISEBjNvkSXEVB4sz\nCHPTvkVhxiJNmqKSxiOqyyn1NmuuKMSB7Z+g5MBaBIS0R2z3cxEWN7jeMjll6Viw/xPkWfYh\n2i8RJ6rQCvEhXeotU9fB4so8LMj8BGmF63Q8reM7Tka3iIF1ZbenSxwsiYPVGuNgcTazO4Ge\nW3scrEV5u3DD5h+05sr+oz+0EeoXgKWjrlOBjWtYMWpkpJsGg0q7I5yEdtttt6FTp06YNm0a\nli5diq+++gpjxowBV1qhKfCZZ57RxOmpp57SYTMYxJQk6uSTT9YEjLEtuVIIJ7Nx/WFqrdau\nXYsBAwboWJes+7XXXsOECRN0vjfffFN3jS/hLHf//ffr8E1jx47VQa25bjG1mcxXqiZ4bdu2\nTbfLc9+nTx+9+svIkSNBcsfnjBFb053xNuc8fM1ukJCxvvHGG7j55pvx7LPPSnRZB/RICvJ2\n/ahiN61Sfj8RiOp6OsJiBzjkqL1pqapEqfoBVpVFoMxSgvKyw9vAw81nISj7YpQV+yNUvX2E\nmApUxc6mqZot9UyZgr8jY1BVUYKO5YMQFBChopdbMXH0ZoSrtPm7BqLKYvuRl1f64221xM7m\nXTG4+JRtCA6y1c03HRJrBidl5OWavllFytn87ZUXYU9VOkIRhFMTrsLxfe+q2RWn/W37fsTW\nZXcjtKIUZYEh6DbiPxjQ9SKlo/PDfL+dWBu6WRHBABxn6ov66RVNhe3Qof91TvUfbodrGIYH\nRCntXgXCrVH2NQ15o/gy7Umsz1uoo7qP7ngRxna6tN7q/CzBKMmIR3lRJ5QExsESrm6IEfUW\nUefQD6mrlIperXAUFBaMxD7lCAq11l9IjvoUAb/0PQjYsA6m8gqYk5NRNVCReC/6Kfrt3oWA\njethUhoAc3J3VA1QJN6L7bsDfl5enlvkyp26WnqeDUVZ6m6mtPAupFQ9M9LLC5ASGuPiaOOT\nGHSaQcAZ/Juaom+//Vb7wRmaKGrVXnnlFZBguRK6hPz+++/6Hn/TTTehQ4cOmDt3riZYjvmv\nvvpqTaSodCFJ45J5bJtaL36z3KuvvqoDybIcydQZZ5yhF/nmc4Ry4YUX4uGHH9bbPD5+/Hit\nxSKJa+lyWIJFDRBnDDoKHRbJNHmCunXr5jJcw5o17s/Ccqy7pW5Te7LttwtVkMvtOn6TSb2Z\nZK5/GZ2G3o2OA29wOawdy1Zi7YKjlbN1H3Wcpq0K5HxnQsqWTzH8nAkuy6xfGIEtS6qf2gU5\nAUjfEoLjLziIhBSaGGvLrF3PY9bu5zVRoQO3vwoN0QtjMCj7ShSk90H3SAtie23BnF3JOKCW\nzjHkr3UJ2J4eiWsmbkK3hCIjWcey4bJIjr5ZqZlz8ciWqTaap33iy/FG1kwszv4Kd45eYi/r\nuDFn2fWI2/oL6IWmpaIYFQvvxo/dvsBPAVucZubtLFqNeRkf4vGRnpvduL1gJZ5Zd4nC36yi\n2Jcj0BSMb3Y9h1v6v4mXNl2HUnOh0TPsKFyF+ar9h4b/bE9z3EjPycDja85DWUA2LP4V8DMH\n4c+tT2Nyxss4c9iZjlnt29l7VJ4vYhWZVPRY2Xrp3L9mQQjGXHQAMQkqQaTZIRA0+1cEzZtj\nIzSKhAcuXQzLwt9Rcp36jQcFN3l/g37+EUEL5tvaVw/JwCWLYe6ShNJrrlcRXwyTepN3o94G\naBZiQFERGwKRdGivB4zIAM9fN9QCDRkyRLfKkD0M3eP4HOcLcn3WHWqTjBdofnfu3NklYaYJ\n8YYbbtCzChkfk9ozpkVHR+u26RC/evVqvPvuu9iyZYvWhvEAtVgGwTrqqKN0Xv6h9ovC50tr\nkMNODzPWQCI7NT4EYdSoURgxYgRoWjPSHb9bAzgNGcPeFY8cIld0FlSr2mkHbSsyVj+tNFqu\n7ewb/uipHu58cwlRH54Kfgcjbev5yN2XobadpfCg3yFyxZ+r4wdY/LXrN6At+UvxrSJX7BPj\nMtEJW61ciM3meShOPdFWj/Lhig6twKTe29A/zvnGmJUbhqc+GIbflnaxLxjNXhm+WfyR0tfi\n2U1X28iVY7fU9nrrXmWCfI5FnKSsPB+xilxRTA7/uJ+4azkqK/K46ST7Srfi052POqU1dofO\n5zM3TkO50hqSXFH4XW4pxoz1lzuRK6ONXcXrFQGbYew6fb+46naUBuyHxU/VpTSD/LaazPiy\ncDpIvmqKWV0mi7+JgVnxKEsVQVPfaomjqnKTSlekq36FZM3qZN8LCPjv3KHJlfKrgEld88a3\nn/oNBP/8U5P3wH/rFgQpMqd/YorcGe37K41a0Gzbb6nJO3GYBqj5pWmQGhIRGwInx3ZX98ba\nePirMzm8XSfEBVa/1HoKM5IXziQ3hM9xRxMj9+uTmpOaHOtyLEf3jilTpmifLCpeaIq86qqr\ndBaaBEnqaJpkaAe6Qlx6aW0rgGNbBqlrLdfPYTVY9LlZtmyZI6ay7QKB3LTvas96Yz7lnM1j\n4fFDnUpRe1VpPoMZnNL1jtUfWxauwjEXO6tIty6r1lw5FzLph3P2brVoalcSvGpZnDVL0xcu\nZOwog3ffBL+qBMW7VEiEoN2qGyo4g58Vo5P2onNEIRbu7aKCkFKrpoK7W/zw1e89sCE1FlPP\n3IyYdtWaMs40PJCnbqhm5RTvn+PYhH3714y3cVyf2+373Ph95S3oqL5JrhyF++zrEGX1XG57\nCXI8jL+yvmpwlHWnCg7tbCtY4aQhc8xDClqXLNz/Gc7tdofT4QOFecgMXuTyVJosgVi4fQ6m\nxF/uVCZ7TzDMlRy78/i5X1bkh9z9anXIROdz6VSB7HgdgYBVK122SbIVuGoFys851+VxTyUG\nrlTx3FwQF93+ihWoOONsTzXV6HoY76ohM9Ia3VALKtghKBzP9DoVd6gXSn8VtqVSacwD1XMh\nNjBUp7egobjsKgnVCSecgI8//hgxMTE45ZRTdL5Zs2ZpsyKd2KlBozCN4q0JU7oxH/45LMHy\nYd9aTNP0vbKay1z3V0UGN5fn1jpWlk+Tm1l9XJ0C9YgvdyZErKC8tD6FoxWlhXxjcX4oF1Ue\nVG9PtdUhEWU2VayfJVr5koQokpUKK7UvSrpH5yMxejv+OnAUtqVXsxz6ZD389khcduo2jOhb\nrekqLM5AdFkyQivjUBCyB5X+nBlZLWWHNETVKaqXpfsdd2tth1lIPFxgYHauu1ZBNxNKVGBQ\nP3WTM5bJcbMYys21VdcFxcqUWJMnGRUq4lqsFoCuKZVlikrWUUbdg1FRVt+5rlmb7HsDAZMy\nW1Br5FKUP1ZTi26/jkZM5XXcf+rI3xTJubm5Ls1ITdFWS6vz1LieGDjsCvyQsxUHKkvQOywO\nZ8X3UaFiXN3/W9boaE7s1auXnglIH21DC0XlDK0bnIFOgsXZg//+97/14Kjdagsid3EPnGX6\nWwVHdndZE8MGhMUPq3Wsy+C+Ks31zdqqTIVx3aqJjVG4Y7KNABn7Nb87pNS+aBnPyQhD4Jh/\na6cP7bsmawj8y3srvyGb0yEPdOqah9unrFFO8KnaGd7IXFIWiNe/7a+c4PuitNymgo6L7K2H\nEqzWOYwv7o+o0mT4WapvHN0CuxnF7d/dul9m33a1sbMOR+/EMOcZj67KupPWLWIQKi314+mq\nni5hPG/O0rV9IgLU2F0JTbI9Y5QTdA2JTlAOynUoylQsQkR3cCbKNYrLrg8QoEO71cUDkb9i\nixcccm3tV5t9DAjYvjmxs7Hrk2/61IjfVf3Qdw6JxPVdRuJfKWMwueOAVkGujBHT2Z1O7VOn\nTjWSMHbsWDCdMxPpsM7Ziw888ID2z6oZ2sFeqJVtqBeyul7JWsdI63PkcxzhkYZpKNg7Hzt/\nn6aIhoO2SM1+CwzriH5nz4GraOPzXv8VuXlTVDdspjhbf8oRGrwAZ/xzkGP37NvfzeyASq3d\ncFR/WEHydcKFtTVlpWrR4/tWjENhZY6TtsakfL7OXbxDqau7KO1LdV1m//0wBaZhyGnV5GPn\n3nZ6VmF2Xqi9H9yIjSzDlWdsQd9uKjzBjheQat5n1+RYlP9RUVCGmk2XiZeOXomwkHinstyZ\n83kK4iqUL4mD+ofmwXx/E97tQu1ebXl42K/oGtG/9oFGpLyz9W4syvpS+6YZxf1NgejZbrhe\nQ9BIq/424YkR89EprEd10qGtL5Z9jp/K7lF+V9WsiebBuIqhePrkr9RbXTXGRuHlP0QhfXOo\nUpdXHzMpM22PYcUYcnK1g72Rvym/OdsnKyurKZuos26GKOBSW4zLQwdpbwv9UTh9/bABMdVb\nd/iMp2EqLlIW9erfuVWVp5O5uUfPRnWdY3crTIPycdHtl5bY29evaGz/+hvVjMKURrVP/xr6\n7BhxkRpaCf0xqZ2gtqIx0trDNDQGk5plqBVy9KGqebw571dUqMlbKthsYqJ9OlNz7q5H++b/\noBKP1tjMKnMnDgu7TAc8voU1VoIjUxAaOxAl2SuVb40yCSk7T2TiWHQf+4YKgFlbG8V2Ukb0\nRPaWL1FWmqJoRaiiGWpmRcTXGD11AAKDHUlXda9SBhcjY0cIKrS5kA9mKzr3KcNx5+dVZ3LY\nClQatKPbn430kq3ILtut87cP6Yrr+8zEcScmI215tvKxUg7y6iZN/45gaxFOuLRcRZhXZs9D\n3DsmsgLHDc5AUUkQdmdWa2pKywOwZH1HFBQHYbzSyJUUrUeuxWYuM1nV+CujMaXDQ4iO6Kon\nQtR0rEzsfR3W73wTEaotw/cqKzgAx05ajvahyXqRZIs2oyr3fxVd/Z/930bvqFEOozuyzSGx\nJ+kZhGlF6zTJCvYLwxlJN2Ba7xkI94/Gxvw/Fbq2B2mYfyRuH/g+UtoNcdnogM4DYM3uhrTS\nv2FWJlKSqz5VF+Cu415AiIqU7Eo69SxXWiwT8rICFS9XyyMFWdH32EIMGK0e4Dy1XhQ6mvpq\n5g4jSXOCDH9/jX1IHwlUvC75+z/sci5qZlaVmpnln6leQhQZ5CmyxMah7JJLYe7Vu9Fd4NiJ\nAduv1zdFzQarGjQY/vszqtuPb4+yKZfB3L026Xe3Q3x401m5Mfc/3iPo1M6HaGOFs9w4q41E\nrd7xH6YB4zo6TDaPHebYj2TcDekIr1FeJy1RSOD5EtEWRTRYh876kWqwjIvHquw7pbmb4K+i\nigf/P3vXAdhGebYfy5K8t53EdoYTZ5JASEIWIYyQMMOGMsostKUDWmhp6aCUQiftX2YpBUqB\nsltWgRDCXtl7b2c6drynpvW/z2effZJPtiTLI/G9iXynG99473Tfc+94vuTQEHtsrA1NEt9h\nkzd5lye0BxXT+hskGDpRKBbk+RiS0CXG7LkEq//N7iguQe36VUgaNQ6JwwtUWXzY8cEZ6Ctf\nsz0Lzy0YjbpGf9BAa9Y1Z23D2KElKDu8DMlJg5GY0lwWC+RDlFYC/tACgZZbmOz3VL2PIRlz\nBOC1BfJzsN209wXEWVMxesgFql3d8afBUwtnfAXiHJlIDNBNpbNE5nGMV1xZodRN915xcb2Y\nweWc5NhQTkFCfCLi49LQ4KgUC057N29IhXTxoKPFguXyNqLceRBp9hy5lqkhaYX3Y0gWLH1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biEK1Y/LHOLRVv6WnaZi4tmx+oEZ/QHLu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\nziF+QItz2728KB//+TAXU8YeVpNMF+ZLhmOIfWHGkGbh0hpMixZBF4ELP1z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S96qW/osZzj1F3IKKV4pH+AsxxwQBWdSVGNkUsBohJqhL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bJ06VIZMmSItGvXTv/L7XbLl19+KWvWrJHT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\n", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg, mapping = aes(x = displ, y = hwy)) +\n", "geom_point(mapping = aes(color = class)) +\n", "geom_smooth()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## aes\n", "\n", "Dans le graphique précédent, vous avez surement remarqué que certains points sont de mêmes couleurs. En effet, la fonction **`aes`** permet de modifier l'esthétique (_aesthetic_) du graphique. On peut alors ajouter une troisième variable comme la classe, à un nuage de points bidimensionnel. L'esthétique comprend d'autres éléments comme la taille, la forme ou la couleur de vos points." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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anx3C9vaCW9Jlv2RBISEpCdnW1bSeFJHiMNCdaXTyWrU3cEqxoRcVU49a8HjeQu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Sl70D8GR5zfju8ASAMUeRk//EBAE9BLKY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\nJvlbLQIQFm3pEPsuDuS+9TeiFWU1pMbCH//Xg2fW8F+4Vsmzt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MVeuqrUQrfbLHTCWpZImGcnaFQFs7SPKinvyiK1xFDWrBK1bf1CfxZj\nsDIkXRBoLgKG3U5FrpQkRq2DzoD4O/6hYPlbdH7Uvvzyy3TaaafRSSedRLfffnsdecYozWWX\nXUYbNmyo68727dtVWklJCS1ZsoSuuuoqcrv9Z6Fcf/319O2339adIxuhISAEKzScJJcgkDII\nYK3FNTqjxSBaD/NzOZDKbGKucsXK6MOze4eb/nDAUqfRheFWLw+dvJ5tpVc+0R+qgVJ6xpxy\npTFl4Dh09ccvt8zZZbwUTtPesuj3SmpIdgSMS/kL4hs4WNthEC4jy4hQGPImoWA1Z84cuuGG\nG2js2LE0bdo0+vzzz+n4449Xp2JIc/bs2bRnT73mCwS2kYYh2j59+tCLL75In332WV1V33zz\nDT3zzDPqWF2ibISEgDmkXJJJEBAEUgYBrLMYrv0YA23KeStc5E3n4ZSAAHCIfc52Wug8nUan\nf8AxmIGMEPk4LW1+FS+FE7uYHZ3mSVIqIMBrVureg7V9x5qWerdoc6EBIRo5ciTdeOON/FUx\nKKL1/vvvhzT83q5dO5o8eTL95z//oYkTJ6omzJ07l0488UTq0IEDIMXCQkA8WGHBJZkFgeRG\nAMODzX3YR0roNBjCWx3+6vK++Q5wsLCbg84DzbTHjbCXBoY0026M04gJAtFFwDOI9VN07k3U\nilhAbxjyJqG0dPr06fTVV19R37596ZprrqF169apz1CD5C+66CJ69913lUcLMZFvvvkmIU0s\nfASEYIWPmZwhCCQtArzkGWbqN8sKm47VbVa52kk9rF41c0/b9/0srPYQZvkFmptfXg1pF7/Y\nOKu7szjwA/GS/cgj4B2cTp4RLMnhc7vhnoQkh/MynjGM6bERtGOPPZaWL19OIFpff/01TZo0\niQ4//HBCjJVmmAGpWeDMbeTHpAt4vT744AP+XpnolFNO0bLLZxgINPdZGkYVklUQEARaEwLH\n88zAcG10frhnhJ//1OFmJQ1BPi8HlAJds8uN+kKf1VNYvyHI+8t+chBth/CbJmcIAo0i4Lyl\nA7mm5pOXRWShPeZlqRDnbR3Ic3R2o+c15+BHH32kgtr/+te/0rJly+jnn3+mlStXEtIhZQHz\nlS/avHmzStP+g2zOBRdcQG+88Qa99tprdN555ykZDe24fIaOgA+nDv0kySkICALJi8CjQ4j2\n/Ey0gvW2NANHubE3B4fzy+H+dfyC0A7wZ3/mKU+zOGm0rUNHE72wx0k37DZxoHvNUjcObs/M\nKgdNO0nffeZiDayqS3Ip899l9c3jn5VVl7Le1ED9c+ozypYgECEEeEKG+5wC9RehEoMWs2LF\nCnr++edp4cKFaphw9+7d5HK5VJA69Ba7du1KL730Eh155JG0d+9euv/++xuUhSHB4cOHq/Tv\nvuMpxGLNQkAIVrNgk5MEgeRGYA4/W9dxfPjHe4nyWcx0CguZZtc+LU5uT/Tebp78xE4j6GAN\nDk8QvUXAHTLMQh8P8tLqX11UxQKoA3uZqLBd44HqjuMyyXlEOplYbFbpYLGgJrGSu5ggkIwI\nXHvttcpzNXr0aKWrBw2tJ598UgW+o7/PPvsszZw5kwoKCig3N5dmzZpF559/vh8UAwcOpGHD\nhqnAeHyKNQ8BIVjNw03OEgQigoD1KxtZ5u+n6uLNlNbORG4e0nLyEibxNuN2Fx3yajmNXMvy\nB6xG7xiTTrYzmEkxLyl4r4Ku4HZDx8fdx0K2c3LI3ZNJSwyshJtz9WoD/VJuUUvp5a8luoPr\nPb4dz4RfVk3p/60g4243eQuMVH1iFkEtvojVGJ7caqSvK9PUaOExW4mu7cUK9c1xYHGsVwbX\nYf2OBWGZ4Ln6W8nGivwen1UBAmHYs9NNs35w09eZZsLi08fbnXTlURbKbyMkLxAr2W85AlDG\nx9AeVPF37NihPFaYTagZ4qngucKxLl26sIq/UQ0Dase1T/FcaUg0/1MIVvOxkzMFgRYhkP5W\nOaW/X6mUnVGQsdKjxDBtxTlkZ3IQLzNtcVLOnazV4GaHD4QRq3i9vQ+ryLyKBT3TjGTe6CQl\nlMiHDKsdlHPHfiq/sw25+zWHsYTeS+Y2NOl75nW1Yo04s4QnAv6Rdbse8VbTtNkcxMvH1KvE\n5lbDgsW73HRW7xziJQTJVTuu+QFLAH3Dotr/HVnjnQu5BVxAzj3FNUv71E5AtKywk2W1ncru\nLyRPt4Ykcw+TvbOYEFbmWshVG4T/jsVKi5d46K2jPJSdKyQrZPwlY1gIgDh169ZN95zGjume\nIInNQkC+3c2CTU4SBFqGgKHYTenv1ZMrrTQQmozXWBizyodFaAdj9JnxMscrMYFQ5Kq2TgOT\nLdM2N5nX15MrHIJYIohY5j99Ypxqz4n0xyPr/clVffleuttpVe2t/53ObeN2PVtmpAone5p8\ngsawXcKjhf9iT1Y4Bm+jWjexllzhXIUR72e+7BOw5lPoc9+7qZLjbzRyhUPQ7drLshKvfs2N\nEBMEBIGkRSDpPVhY5ysUA6PH1NR4GKbBwjDDI9T2RrqdcCHHq27MWoHBta1hEen+NVVerPtv\nWM4vZKg78zCTnuXsZHmBQ2PnxfLtv2nt7hriFNiwIJwPpMa0xUU56dxeS/i/2bDQLwwBuNos\nJ5UQ8N+PpRwU5hder2UwUBUXAd4T+EBb1D2N031pV805zLno21Ij3ZlTgzG+/03d/8bfKuo8\nd1rN+ATJxDqHeud/k1biR66080CyFrtN9Ed+Pml9xpqULVnsWCs73E9ce3wH9dofblnNya9d\nf/TfVz6gOWXJOYJAIiEQ+DxKpLZFpC2BGh/BCsXLHTMt4vkFx8M11PYG60dL0uNVNx7wMKx/\nFa82oP5Y1m00esgaIDeANijjF7aLXSMeZ2w9HFr/Fd8PQqYUV9HjhHwJnW5QnIZkprZXQT80\nUo3vH/6CmUW5y4Id1dfvSmMvVjCzcnnoM+4/fO+1/gfLbzF7Ve90e8iESe98SzAcuZI0Xj8R\n52g/MND3wDXggrUlkukgl/F89mgEC/1vCcHUcIwkNlKWINASBJKeYFVXczBqCAbvFfLGg2Bp\ndeIBE2p7Q+hSWFkwmyRedaOhWVkc3M0vm3i1Idb9N/Rhj2WQK+TloPKq7sxiQrx3gxQTVrJv\n/02HppHlJ7saYvMrRJdZ1AgmuoZYqdrJ0eTN4ITaixHXH8rRwewEnrH4D501EuHVascBWnrN\nO3mDjf4xMpucUBb1MTgPJ7T1qvsNBAv3X1P3nnu4hbIWcyEBpAm6Ro7habrnT/K46GW3UQ0L\n+lRPFtbuOiHLo87RCAbWidMjab7nRWMbBBc/MJvqfzTqRpmawjj63xjBbqp+XEMxQSCREAjf\nn59IrZe2CAKtFAFvlpGqLs9TiuJQdIbhE39VV+XpLg5bkyv6/1fNzCVvDgsi1v78gsMK7XKM\nTif7saxIjXbWNgN5vJlMCFlrKtr2fz2JuupMsDQwtXqqI3u+0Jaa0fYaXJlEzTzERL25fb5r\n7WJ7IEcDzOgSXoudh6WTY1RajVBk7amq/xyobrtAPxTh4nEW6lnl9lOgB7k6pNxFpx0djGKH\n1y7JLQgIAomJQNJ7sBITdmmVIMCEZUwGuTuZKeszO5mLOBC7E882m5CmOxstlnh5C1jI85G2\nlPYRzxz8hWcOsmYUZBqcTLCw0DLEO61f28hQ4SHXICvZJ2WRN0az4eYfzjMG1xMtLGIHH3uS\nBrDT4t4BRN0y06jsYW7zgkoyb+WhtvYmsk/IJBPLKMzlfP/dSYRFrJkbKu2uqZ2aFS5GVdfk\nk+vbarJ8U00GboBraBrZT+DYISbMepbFa839Z7yB3lnsoEXlRrLwUOR45qKTT7bw0KC/V03v\nfElLXATg+dS8j9FuJYZxxVofAkKwWt81kxYnEQLu3jx9f2geZeXlUdWBA+SJ4bBgYzBiEdrq\nM9jNg78Ag05XPLW6bulLhL9A87COGIYqQRA9rDHl6VrzeGNlCTq3a81f4Dlh7/NLFcQYf6Fa\neoaBZkxMoxmhnoB8TMTMKxxk3uRUCwI7RrLnjPslljgIgPTIsGTiXI9EbIkQrES8KtImQUAQ\nCAsB4143Zd+/n4wHagOk2DnknVtOFbfx8iRR1ucKq6GhZGaJjpwHD5BpMwe01TouMuYSVV6V\nH1diG0rTUyWPNjEnVfor/WweAuJ3bB5ucpYgIAgkEAJZTxwg434OdOdQLPXH3MTASvPZjx4g\nsmsRYwnU4EaakvmvMkWuoONlQD/wx/3KerqEQCTFBAFBoHUgIASrdVwnaaUgIAgEQcC4y8WE\nhNWuAmb3IcLJUO0ly8rgMxODFBm/ZBbowjI8IFcNjJ/Wlu94iSIxQUAQaBUICMFqFZdJGikI\nCALBEDCWMrMK9iTjdAOOtxKDgn8gUaxrOnuxjGWtpy917ZYNQSBFEQj2WEpROKTbgoAg0NoQ\ncGOh5WCjgExK3N1bT6gpZmN6soLMLuQYd3e31tOX1nYfSXsFgUgjIAQr0ohKeYKAIBBTBKDZ\nBUkGTbdLqxyaWK7+FnKzVEOrMZ6lWH12Tp2el9Zu9MWTz3IZo0OfvaidK5+CgCAQHwTk51B8\ncJdaBQFBIIII2M5noU9ejzBtYZWKX4Jwu5OlDSovY9HWVmYgi1idOuNNXvuwNkDf1c+iZhGS\nNYh3q5X1UZorCKQCAkKwUuEqSx8FgWRHgNcCtJ2bS7Yzc3g2oZu87O3xZrZeB739xCzllcOs\nQYiYxkrINdlvE+mfIBBLBIRgxRJtqUsQEASiiwCv4+jpnCSPNVZ697DSv5ggIAi0TgRa70+8\n1om3tFoQEAQEAUFAEBAEUgABIVgpcJGli4KAICAICAKCgCAQWwSEYMUWb6lNEBAEBAFBQBAQ\nBFIAASFYKXCRpYuCgCAgCAgCgoAgEFsEhGDFFm+pTRAQBAQBQUAQEARSAAEhWClwkaWLgoAg\nIAgIAoKAIBBbBIRgxRZvqU0QEAQEAUFAEBAEUgABEVlJgYssXRQEIonA+2/bKHu1nbJYZXxH\nexMddW42dWgnv9UiibGUJQgIAq0fASFYrf8aSg8EgZgh8L+HSumClTby8IotZl5g2b6VaO+v\n1bT6+gIaOpjXqhETBAQBQUAQUAjIz065EQQBQSAkBD6YZ6PzmFzhoQFyBUvzEHWo9JBjTnlN\ngvwvCAgCgoAgoBAQgiU3giAgCISEgHmlg9w6aw1bmGwds81BNjuzLTFBQBAQBAQBhYAQLLkR\nBAFBICQE0pxeMtV6rgJPgEervCIwVfYFAUFAEEhdBIRgpe61l54LAmEhsK+jmZw6Twxwrg15\nJmpfqHMwrBoksyAgCAgCyYOAPBGT51pKTwSBqCIw6dxM2sxEyuHz1AC5QsD7l0dlRrVuKVwQ\nEAQEgdaGgM+jsrU1XdorCAgCsUQgJ9dIVbcV0Ie906mK5x8j4ur3AjP9+5RcmnpuViybInUJ\nAoKAIJDwCIhMQ8JfImmgIJA4CPTsZqae9+aTnZtUzkHtHdKMNDVxmictEQQEAUEgYRAQD1bC\nXAppiCDQuhCwMrkSEwQEAUFAENBHQJ6Q+rhIqiAgCAgCgoAgIAgIAs1GQAhWs6GTEwUBQUAQ\nEAQEAUFAENBHQAiWPi6SKggIAoKAICAICAKCQLMREILVbOjkREFAEBAEBAFBQBAQBPQREIKl\nj4ukCgKCgCAgCAgCgoAg0GwEhGA1Gzo5URAQBAQBQUAQEAQEAX0EhGDp4yKpgoAgIAgIAoKA\nICAINBsBg5et2We3ghMPHDgQUiutVis5HI6Q8kY6U3FxMa1atYp69epF3bt3j3TxIZUXz/4X\nFRXRb7/9Rv369aPOnTuH1N5IZ4pn/3fu3Enr1q2jQYMGUfv27SPdtZDKi2f/t27dSps2baKD\nDjqI2rRpE1J7I50pnv3fuHEjbdu2jQ499FDKzc2NdNdCKs9isZDT6Qwpb6QzrV27lnbt2kUj\nR46krKzmrwiQnp5OGRkZkW6elCcINBuBpFdyLygoCBmclny5Q65EJ+OKFSvo1ltvpeuvv56G\nDRumkyM2SfHq/+LFi1X/77jjDhoyZEhsOqtTS7z6P3/+fLrvvvvo0UcfpQEDBui0LDZJ8er/\na6+9Rk8++SS98MIL1KdPn9h0VqeWePX/k08+oX/9618EHHr06KHTsuROmjdvHv33v/8lfA+6\ndu2a3J2V3qUUAjJEmFKXWzorCAgCgoAgIAgIArFAQAhWLFCWOgQBQUAQEAQEAUEgpRAQgpVS\nl1s6KwgIAoKAICAICAKxQCDpg9xjAWJL6ygrK6MNGzaoAO8OHTq0tLhWdz6C/Lds2ULdunWj\ntm3btrr2t7TBe/fupe3bt6v4m3gFebe0Dy05f8+ePYRAf8RfxSvIuyXtb+m5O3bsIEz06N+/\nf4uCvFvajnidjwD/ffv2qUkeCFQXEwSSBQEhWMlyJaUfgoAgIAgIAoKAIJAwCMgQYcJcCmmI\nICAICAKCgCAgCCQLAkKwkuVKSj8EAUFAEBAEBAFBIGEQSHodrIRBOkhDPB6PEhldvnw5If7q\n2GOPpbS0tCC5ky/Z5XLRjz/+SBBbhNDkwQcfnHydDLFHb731lhKb7Nu3b4hntO5s5eXl9N13\n3zXoBL4DEL5MBSspKaFvv/2WEIc5duxY6tKlSyp0W8WcLVu2TLevuP/jqYem2yhJFASagYAQ\nrGaAFqlTENh56aWXKkIFgVGI7b388sv0/PPPp0SwL14uF1xwgQps7927N82ZM4cmT55MV199\ndaQgbjXl/O9//6NZs2bRn//8Z0oVggWB3QceeKDBxIbRo0enBMHCxJabbrqJOnXqpH5cQWj1\n/PPPp4suuqjV3LfNbSjU+1988UW/0/Fja//+/er7LwTLDxrZaaUICMGK44UDocLSMP/4xz9U\nK2w2G02dOpXeeOMNuuyyy+LYsthUPXfuXPVyAaGELVmyhG6++WY666yz1AsnNq2Ify2YQYiX\na6p4bTTEsTwQlPufeeYZLSmlPp999lk1cw4kE4b7/6677qIzzzyTcnJykhoLLIuD55+v/e1v\nf6OlS5fSlClTfJNlWxBotQhIDFYcL11mZqby4GhNwDpaAwcOVFPWtbRk/jzmmGPolltuqeui\ntqxRqOtH1p3Yijfwqx3L5MycOVOto2YwGFpxb8JrOghWPJcGCq+1kc0NWYrvv/+errjiirqC\nDz/8cLVkTipKFYBYwYt75513Uir2v+4mkI2kQkA8WHG8nBge8zXoQSEu4aqrrvJNTtptLd7K\nbrcTYtAwPIo06AGliqHPINpnnHGGermmSr/RTxAsxBvedttttGbNGuXNwfBwKsQhQfvJZDIR\nCDXWoIQO3ODBg+nCCy9MOU8mvv8PPfQQTZ8+Xf3ATKXvgPQ1uREQD1aCXF+Hw0F33323Eps8\n7bTTEqRVsWkGFnvFQs+//PILTZs2jYzG1LgtV69eTe+99x796U9/Ui/a2KCdGLUgwH337t1K\nYPLUU09VsYi7du1SPy4qKioSo5FRbAXiL+GpwZA4SNaIESPo448/Vgu+Y+JLKtmXX36p7gMM\njYoJAsmEgHiwEuBqYgbR7bffrmYSPfHEEyn3CxYxV6effjotXryY/vKXvyjCMWnSpAS4MtFr\nQlVVlRoavO6666hdu3bRqyhBS87OzibMmoRyvdVqVa2EBwdDpZ999lnSx+FgaLiyspIuvvhi\nOvvss1X/EZd05ZVXqqFDBPqnimFoEOEChYWFqdJl6WeKICAEK84XGr9kr7/+erVExtNPP015\neXlxblF8qjebzUqiYv78+fTFF19QshMseO1w7T/55BP1B9TxwsUEh/Xr1yf9MDG8Nh07dvS7\n2TCTFGQTnqxkN41Ug1hoNnToUDV7GJMeUsUwmxCzSfHsExMEkg2B1BiLSdCrhjXY8IsVa/Bh\nin6qkSsQS3gxfA3DQ16v1zcpKbfhrUEMHj61P8TkYFZpz549k7LPvp3avHmz8lYhFkkzECus\ny5gKMVjaNcYwqWboO7zZ2jEtPZk/Eeifn59PkKkREwSSDQHxYMXxij7++OPkdruVLAGCfDXD\ngre9evXSdpP2c8yYMfTKK6/Q8OHDqWvXrrRw4UIVh3XvvfcmbZ+1jiGYXwvy19LefPNNJTZ5\nwgknaElJ+wkSgRik5557TmlBVVdXK7kSzCQdP3580vZb6xiI9Lhx4+jJJ59UQe7w4L700kvU\nvn17JV2h5Uv2TwT3p8KzLtmvo/RPHwEhWPq4RD0V07Q1FWvE4fgapms/9thjvklJuY3g5lWr\nVqmZU4jDwUvmhhtuUEOFSdlh6ZQfArjWINOIv4NhiBBDRZhVmQoGiZIHH3xQzSCF9xKeO/zo\nSpX+4xrDk5kqwrqpcE9LH/0RMPBwTPKPx/j3WfYSDAEMC2JoBEsF4UUjlloIIBYNIqupNkSu\nXWVMeIAHDwH/YoKAIJA8CAjBSp5rKT0RBAQBQUAQEAQEgQRBQILcE+RCSDMEAUFAEBAEBAFB\nIHkQEIKVPNdSeiIICAKCgCAgCAgCCYKAEKwEuRDSDEFAEBAEBAFBQBBIHgSEYCXPtZSeCAKC\ngCAgCAgCgkCCICAEK0EuhDRDEBAEBAFBQBAQBJIHASFYyXMtpSeCgCAgCAgCgoAgkCAICMFK\nkAshzRAEgiFgt9sJitdYqxAGzSTsQz8pGgYRXN8lXKJRh5QpCAgCgkCyIyAEK9mvsPSv1SOw\ndOlStT7df//7X9WXL7/8Uu0vWLAgKn3DUj2nnXZaVMqWQgUBQUAQSBUEhGClypWWfiYNAm3b\ntqUJEyYo5fuk6ZR0RBAQBASBJENA1iJMsgsq3Ul+BEaOHEkff/xx8ndUeigICAKCQCtGQAhW\nK7540vTkRGDx4sU0f/582rVrF40fP14tguzb0/Xr19PcuXNp2rRpNHjwYHXI4/HQu+++SwsX\nLqTi4mLq378/nXTSSTR27Ni6U1944QW13h8WE//nP/9J69ato6OPPpqw6DYWGhYTBAQBQUAQ\niBwCMkQYOSylJEGgxQg8+uijivSAKGER7BtvvJGuu+46v3JBsO6991769ddf69JvuOEGOuus\ns+j7778no9FIc+bMoWOOOYaeeOKJujyzZ8+mBx98kI488kj64osvKCsri+677z46+OCDadOm\nTXX5ZEMQEAQEAUGg5QgIwWo5hlKCIBARBOC5uv322+nKK6+kZcuW0dtvv02rVq2ikpKSRssv\nLy+nZ555hv7whz/QypUr6a233qJt27bR0KFD6eGHHya32113/ooVK+jcc88l1AXChXpAtKZO\nnUper7cun2wIAoKAICAItAwBIVgtw0/OFgQihsB7771HJpNJeZUMBoMqt1OnTnTbbbc1WQe8\nVr/88osaVkRm7C9atIg2b96sytQKKCgooLvvvlvbVYHy8H4tX76cNmzYUJcuG4KAICAICAIt\nQ0AIVsvwk7MFgYghAO9S165dqU2bNn5ljhgxwm8/cCcnJ4dAkkCoEEuFIPg77riDNm7cSOnp\n6X7ZhwwZojxWvokYIoTBmyUmCAgCgoAgEBkEhGBFBkcpRRBoMQL79++n7OzsBuUEEq4GGTgB\nQ4HQxZoxYwZt3bqV7r//fkW0Zs6cSS6Xq+6U/Pz8um1tIzMzU22WlpZqSfIpCAgCgoAg0EIE\nhGC1EEA5XRCIFAKHHHKIIkeB5UFZvSlDnNXEiRPpP//5D+3Zs4d++OEHFSyPYHd4tjTbvn27\ntln3CVV42PDhw+vSZEMQEAQEAUGgZQgIwWoZfnK2IBAxBCCfgID2efPm+ZX5xhtv+O0H7iB+\nCoHq2oxBxG8ddthhdPXVV6usvsveIAj+t99+8ysCJCwjI0MFxfsdkB1BQBAQBASBZiMgOljN\nhk5OFAQii8DFF19Mr7zyCuFz1qxZNGzYMELg+4svvthoRfB8QS/roYceUgHtxx13nJJweOCB\nB9SQ44knnlh3PvSypkyZospHAP3zzz+vtLNQr9VqrcsnG4KAICAICAItQ0AIVsvwk7MFgYgh\nAIIDsdBLLrmELr30UrLZbNS5c2d6+eWX6eyzz260HnivLrjgAqWbhYzwYoGgLVmyxC9oHsKk\nWGZn8uTJKjard+/eimydc845jZYvBwUBQUAQEATCQ8DA2jcifhMeZpJbEIg6AiBXiL3q06dP\nWHXt27dPSTX07NmTMLvQ10aNGkV2u50wW7GqqoowdAiCJSYICAKCgCAQeQSEYEUeUylREEhI\nBHwJVkI2UBolCAgCgkASISBB7kl0MaUrgoAgIAgIAoKAIJAYCEgMVmJcB2mFIBB1BCZNmuSn\niRX1CqUCQUAQEARSGAEZIkzhiy9dFwQEAUFAEBAEBIHoICBDhNHBVUoVBAQBQUAQEAQEgRRG\nQAhWCl986bogIAgIAoKAICAIRAcBIVjRwVVKFQQEAUFAEBAEBIEURkAIVgpffOm6ICAICAKC\ngCAgCEQHASFY0cFVShUEBAFBQBAQBASBFEZACFYKX3zpuiAgCAgCgoAgIAhEBwEhWNHBVUoV\nBAQBQUAQEAQEgRRGQAhWCl986bogIAgIAoKAICAIRAeB/wfG8hitHXOdLAAAAABJRU5ErkJg\ngg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + geom_point(mapping = aes(x = displ, y = hwy, color = class))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Si l’on utilise l'argument `alpha`, on obtient alors;" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“Using alpha for a discrete variable is not advised.”" ] }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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je84Q3F5z//+XT9ZP73vOlqvP+bzBXEljsRKlxhFcYCB4L15je/OZkGM6nKedJq\nvfe9702zgXys+snBD+tnVhTltwnxsrCnNyF8FF796len2U5TQVmbrD//BB2d2V2eBQ76OTRZ\nfx20jtyuB+UwJ4PCgEnDrNwMvQlRdxjIX38xaKFx1/7g34TI2zvwm9/8phiPz6owCAb3QYhx\nQr+vzx6EGFf6UTeaKP5PdbEatUWO6DlYabWelAoIVivCCBvPVfvKwrmdWZCJdCpIaLB68JQ1\nfo3QC1cWv3XeHARDAoFAIBAIBAKBiYQAglRHrpSRtqoVuXLeuVbkynkThzK5cozmaqqQK/UN\nggWFHojVGhqbGRg7t08Ei/o1OwP2IJtIIhAIBAKBQCAQCASGAIEgWD16SO9///uT055AaVTV\nTI5s0Ndee22PcohkAoFAIBAIBAKBQGBYEIgwDT18UhwFzzjjjGS3pl4V66OdCrWHWUdSgUAg\nEAgEAoFAIDCBEAiC1cOHYbWg5bCcA5kHOfMJzmbPppBAIBAIBAKBQCAQmDoIhImwR89a4DYE\ny2o4hEpwNSsC7eckFkhIIBAIBAKBQCAQCEwdBEKD1aNnLWIucmW5dRYrJh588MG0AfRiiy2W\nD8dnIBAIBAKBwCRAYFAuIDk6+iSAbEpVYdITrE5D8VtOyjF9LMIcKH6PvMoES1qWqpJ25cgv\nj5ghM888c7p+0P+EmmhXxn6WJ9cfdhYINCETof7i3OT2MmgMJkL9xUMaSxy6XmDl/W+q/cOe\niEfUlEyE+pugjkcGHUMNZtX+fjzlj3snHwKTnmAJXteJjCfQqPQNjIKavv71r58hO8HWzHLa\nlSMHGhVks8lAo+3KOEOlevwjBxpV9yYDjTZV/xxo1JYVTQYabar+BinvD1P6oAdJTRnBnwiB\nRu1TN5UDjQq0O95Aoz3umtomZ2I9nvK2TbxyUhu1cCpkuBCY9ARrUI/DdgRnnXVWioYsKrsX\n7+c//3kiXO94xzsGVYzIJxAIBAKBQGAACNC2DmpCSMsZBGsAD7XHWYSTe48AtWP5mmuumVYP\n2uAZuRJkdP3110/bBfQom0gmEAgEAoFAIBAIBIYAgdBg9fAh2XPw3e9+dzIHmm3Y3y0kEAgE\nAoFAIBAIBKYeAkGwevjMf/zjHxfHHHNMcffddyet1corr1xss802ocHqIcaRVCAQCAQCgUAg\nMAwIhImwR0/phz/8YbHhhhsWN910U1oJxbn9jOlR3bfccsuBOUL2qCqRTCAQCAQCgUAgEAiM\nE4EgWOMEMN9+5JFHphVQllpbFSjcgmX3iJcApCGBQCAQCAQCgUAgMHUQCILVg2dtuS4iZbl9\nWaz8+Oc//1nceeed5cPxPRAIBAKBQCAQCAQmOQJBsHrwgBGpF7/4xbVBEsUvqRKvHmQZSQQC\ngUAgEAgEAoHABEYgCFaPHs6yyy5b/OUvf5mBZD377LMF8rXEEkv0KJdIJhAIBAKBQCAQmFoI\nCMI8jBKrCHv01HbZZZfinnvuKcTAEoAub/+y+eabF+95z3t6lEskEwgEAoFAIDCMCFj49Otf\n/zpNxG0LZdePCB46+pPcbrvtite97nXFPvvsM/rFE+yKIFg9eiCit5933nnFN77xjeKuu+5K\nDu5LL710seiii/Yoh0gmEAgEAoFAYBgRsI3azTffnBZCIVWsG+IkLrbYYo3tvzosON5yyy3F\naqutNizFnaGcQbBmgGPGHxzXPVwaqUUWWaRYYIEFZryg8ouvFVPh+973vsJGoEhXSCAQCAQC\ngcDURcD+oj/4wQ+Sn255Q/Ff/OIXxY9+9KO+TMJ/+9vfFqecckpx4403FvPNN1/x8Y9/vFho\noYXSQ7Dw6ktf+lLxne98Jy3CmjZtWrH99tuPaNOOP/74Yu655y4effTR4tJLLy3e8IY3FLvt\ntltydzn88MOLJ554olhrrbWKNdZYI6XneruW3H///cVVV11V2NVk4403Luadd96Rh86yc9xx\nxxX33Xdf8kk2Ru64444JExe1Kq/V+Y899lhxySWXpDF1zz33HElzGL4EwWrxlA4++OCkkcqn\nkayPfexjxX777ZcPzfCp0SJkDz/88Mhxju8LL7zwczaAHrkgvgQCgUAgEAhMagSeeuqptIk7\nolKW1772tQWSteCCC44QjfL5sX5/5plnihVWWCHtkyjQ9UMPPVQsvvjixb333puI0KabbpoI\nixiNNlo/5JBDissuu6y44oorkmsL4nXooYcW888/f7HccsslMnbdddclAiZdigMEC2lE2lxP\nOzfHHHMUzHnnn39+seSSSxa33357ImeImh1OVl999WKDDTZI4+QBBxyQdjw57LDDinblnWee\neZKGD3bDuKdvEKyaVvztb3+7OOeccxLTRpKIXe6//vWvp5ehTl2pET344IPJVvzCF/4LVjZ3\njXCZZZYJNXANznEoEAgEAoHJjoDJd52wcgjx0+p83T2dHDv11FOTrxdilccvJskrr7wyWWHO\nOuusRLBWXXXVlBzSxEJDS/SRj3wkHXvZy15WXHzxxYWx7E1velMiR0cddVSx8847p/Pf+973\n0vVZKyZ92jLXI1Fve9vbioMOOqg44YQTkmYLIaM1s+hrvfXWS+QKKSPtyrvFFlsU+01XatiG\nrm7cTQlM4H9BsGoejobFST03Tpewmzt20UUX1T5oBIvjYiZX7pllllkKqx9+85vfBMECSEgg\nEAgEAlMMAQGnEQskpDym/O53vyv++7//OwWl7iUk4i5+8IMfnCEvRIecfPLJKRA2/+AsyAsn\n8ltvvXWEYNFe5bFszjnnTJcuv/zy+ZaCqfNXv/rVyG9KhHy9gzRfNFjEfcyQV199ddKi/eQn\nP0lkT56kXXnTBUP8LwhWzcOj0jW7qIoG5FxVmA//9re/1ZIo6dB+hQQCgUAgEAhMPQRMvJm3\n7FGLbCFZrBvkXe96V88BsVLxjW98Y226v//97wu7jdBQZaE44HBf1qQhflVR9lYy++yzz3CK\nGZHpj3Cd+fCHP5zqjfgxV/7pT39Kmi3n25XX+WGWIFg1T48zO5ZdFTOQOkd3DXTWWWdNDaXs\nxIh4abTs3CGBQCAQCAQCUxMBBItFg4+ueIkI0FxzzdWXhVB8oYQMKgvz3p///OdE9BAaK93z\nWGaFIxK01157lW/p6jvtVFn4c+XwREx8fKmYKLPi4oYbbhghdO3KO4yhGco4RKDRMhr//m7T\nZmwd2//HP/6R/nzH+jkI1olVF8RqCBorK0cef/zx5OBudhASCAQCgUAgMDURMAl/85vfnJy/\nV1xxxbRysF+rzDfbbLMCgTn66KOTFgmZ4lTOFMjf6i1veUux7777Jp9hTva777570mB96EMf\nGvPDoZ07/fTTE3n0Kc+NNtoopccUyPKTA3Hz9brggguS1ccF7crrPG0aB31EcNgkCFbNEzO7\n0Eis7sD6/VHlnnbaaUVVFZpv97J84AMfSDMSZMw9lqlaRZhZe742PgOBQCAQCAQCgX4gYNzi\nyH7ggQcmcsKZfYcddki+UDPPPHPxzW9+M03+aZU4o7PWCK8g8OlYhY/V5z73uWR+pHU68cQT\ni6WWWiolJwg3M6lVkyw9n//85wvhHmjz+Ci3K68EON4jZBzxh02eN92M9X/DVuhuytsp6/Xg\nn3zyyRm2upGPlRHMfN2wexosTo2dEquZZpopETN2ebbpQYuVLMyY8u+0zL0s40te8pLi1a9+\ndfGHP/whEdNept1pWrSM4rs0IeKn6YA4vdJ8NiFN1l/bYz4xy+XLOGihXTBLpn1uQtQdBln7\nPegyeOe1vzr/0kGURd7eAYuBWAzGKiwM7fyExppu3X2GTf1m9qWqu6aXx4wn3dZNGVlRhDjQ\nxqvieTuu7x2PrLLKKmml4Re+8IWU32yzzVabn/GV/5n2Xiftyss9R9sYtn19wwer7klPP3bS\nSSelZab5hdcJYeJ5mWqL29LhYdn+QIOm2qVOzvU0S/BXXhHSrq5xLhAIBAKBQGDiIYA8tXJ2\nV9p+mCirsb7KqNQ5zpfPtysvYlZegVm+byJ/DxNhzdOhQt1///1HSIdLaLGoNc8999yaO4bz\nkGW5QlIgWvwDaNIEjbvmmmuGs0JR6kAgEAgEAoGBImBVYiut1EALMgEzCw1WzUP59Kc/XXP0\nX4fYmdddd92W54flBFPU9ddfn+ziXg4aOp+0b4iXAHL9mOEMCz5RzkAgEAgEAoHRETj77LNH\nv2iKXhEarJoHz1bcSvgJTQbhiG9VR3XmwR+KbwF/oJBAIBAIBAKBQCAQGBsCQbBqcGtn650s\nvknMgWze2fcqw8BcSJwPCQQCgUAgEAgEAoGxIRAEqwY3Yf9bSTerCVulMRGOWzkidtdPf/rT\npLHKZfrZz36WVp2MZ8luTis+A4FAIBAIBAKBqYpA+GDVPPkvfvGLaX8kQdjKIo6H+CKTRWxf\nwEz42GOPpWXiQkQICmfZbRPhGiYLrlGPQCAQmPwIsABwqRiECNMQMnwIBMFq8cx+8IMfFIjW\nhRdemFbZIR3bb799i6uH87C4Khz2abGYPsUayasJh7NGUepAIBAIBAaDANIzKII1mBpFLr1G\nIAhWG0S32mqrwl8/xWo+wVCRHMLpvLwRZ6/y/tKXvpRCMNBYiZy74447ph3R/ebQzhfLjEys\nkvC/6hXqkU4gEAhMVgQsBhpUYOAgc8PZioJgNfjcRAG++eabU/R2xMa2AV7axRZbLO0N1aui\nrb/++ikiPQJFfvzjHyeyZTuDm266KUVwFpIB0RK6YY011ihmr+yO3quyRDqBQCAQCEwGBCwI\novUfhATBGgTKvc8jDLu9x7TjFEVR5/ck2i7/LlFwmeruuOOOtGF0xwm1ufCMM85I5MpWHEhU\n/rMtxU477ZTyn3POOZNp0K7mXuRvfetbjWxZ0qYacSoQCAQCgUAgEBgqBIJgNfS4bAZt77vX\nvOY1M5RAVNxnnnmmEKeqF2ITT1I2++XZECf+6tYG9qST969+9ateZB9pBAKBQCAQCAQCUxKB\nIFgNPXamQCpmZKdOnO+FtNs8t1X+jtsaKCQQCAQCgUAgEAgExoZA/eg+trTiri4QsCu4VXxV\nTRWnc2bCaoT1LpKe4dL3vOc96XeVMCFeYmFVo9YzWdJ2VTVrMyQaPwKBQCAQCAQCgUCgLQJB\nsNrC07+TNFfvfve7k68TUyFi89RTT6W/+eabr0DAeiH8rJgBObBzqmd+RKosL7aSUL6//OUv\nk4P9r3/962S2XHLJJXtG8HpRh0gjEAgEAoFAIBAYNgQmxCpCWpzrrrsumcwWWWSRohpFnPbl\nrrvuKn7yk58U88wzT7HwwgsPG8615eXYLjL8z3/+8xQmgUZp3nnnLWabbbba68dyEJG66KKL\nij322KO47bbbkvP829/+9mK33XYrll566RQeQswvxAvu733ve1OE97HkFfcEAoFAIBAIBAKB\nwL8QaJxgXX311cVBBx1UIFbMY1/4wheKz33uc2mgV0Tk6hOf+ESKFfWBD3yg+OpXv1rQsOyy\nyy4T8hmKJ0UrxMxn5d5oIjyDP0TIkt9e+V6V82XuEwfrwQcfTHm89a1vHSnbW97ylsIf53aa\ntJBAIBAIBAKBQCAQGD8CjRKsv//978VJJ51UbL755sXaa6+danPwwQcnMkCTQhAqhOUrX/lK\nCsApIOcGG2xQrLTSSgVNzEQSmqgf/vCHiSiKOUVDtcACC4yQmWpZkan777+/ePTRR5PfE4Jl\nqxomwnYbTlfTGe03zd/xxx+ftFUc2BG/ddZZp/joRz862q1xPhAIBAKBQGASI0CJceCBBxYb\nbrhhYfJdJ8YPShB/7eSee+4pLr/88uJTn/pUu8umzLlGfbA82O22265YddVVRwBnJuOLlOWG\nG24oll122ZHo5rQt73znO4srrrgiXzIhPoU1uOWWW4oXvehFycSHXNEICSTaKhgdjZIGydld\nLKxZZ501aZmYQ3slv/3tb5OG0CbOsBPryj6DNFpXXnllr7KJdAKBQCAQCATaIGAyTVFw8skn\nF5dddlkhFuFEkEywTPRbyec///k0lrU6n48bz4444oj8c8p/NqrBYhbjg0Q4XvMF4i+02Wab\njTwY28hUfZL8rjNnIWN/+MMfRu5leutUy5U37qThGYvYMBlREsgzi339aLWU6U1velM+nD6R\nLg1aXbIp0eo9JAhZswWDmFjjFZggrHPNNddIUsyBtIcCiq688srpeK7/yEUD/JK1dcipNtGE\nNFl/9SYZh6lWf+Z0AgfPYdAizyaff66/59/EJusW3OTYeIPGXn65zuqfsRhLOZpoO52WUz/8\n7W9/Oy1e0seZjLN22GXD5LpJgbvxoBdib1t/If9CoFGCVX4I+++/f2pwCMcHP/jBdIo/Ew0M\n4lIWvx944IHyofT98MMPL+67776R48yM55xzzsjv0b6MldAgZcpKa1UlCK985StTp0EzVxbb\n4mjY5XAICJY/JlGf1XvK93f6HbmaeeaZnzN4I5+wLedR/t5p+r28zsrJXq2eHEu5mq6/PSj7\nsQ9lp1g0Xf9ehSbptL7V65quf7Wfq5av37+brr++cjwiePNEFMoDvsYWEeX320RcoOfvfve7\nxaabbtrTYrOaXHPNNcW0adOKL37xi2k82WijjYoVVlihMEZ+//vfT+c22WSTpBAwdm299dbF\nJz/5ybSITGGUi7bNOMWFpywWpUnn1ltvTeMHCxOlCIKLOJ533nnFMccck+rse1WYIffaa690\nmLXmhBNOSO4r73jHO5JpsapQqd4/TL8nDME69thjU0wopis+Vl//+tcTsTKz0gDK4nduqOXj\nGkLZvIjwlDVa5Wur32mRrKQbqwbLLAxhqZI0oRGUt1oOcahosbx8SAUS5DfNlY7C+eo91TJ3\n8lt5pFmdoUjbS57zMLgpaxNCcwEDixxamVP7Xa4m649oe/6ee/U59bveOf0m628yYWLi/au+\n67l8/fw0MOhPTGyaEHXPEyvmmkGLPlb7g38TkieA+p/xLPJRj4kowuB4rtUxC+Fi4UBiekmu\nuZ4ceeSRxbnnnpuID9LzsY99LFmLTKw//OEPJ4LECnTooYcmzE855ZTkB22VPk3bRz7ykaSJ\noqRAAI1TWWjdjLNbbrllGvOsSGfu3HPPPYuHHnqoOPvssxPBMr7wJ84iVBBfr7xADenkSy2v\nj3/848Vpp52WQhfR7E0WktU1wTrssMNSuASMeNp0htxLtSwy4KGxT9uEePnll08koDrwa5Cc\nwauyyiqrVA+l1YfPOVhzwABvgBsrwWICNDMgOgyi0ek4DV51syuqYRsvu9c9yAUnfo3LfXX3\npIS7+LfooosW559/fvHYdBNmVkXDzyzEi5LzQDDz9y6S78mlBhj4q39TZWiy/kD0/JFqZLgJ\nabL+2Tyl/v4GLfow+DfV9kzOvO91E6FBYCF/JL+p+ptgyV/9x0OwqwRmENh1kkcr4odManut\nzneSdqtrECJaKIGmTdouueSS9Hyz361xzop9BKsqYifSMO27777p1JprrjlD6B7jnMVoG2+8\ncTqPlNVNDCzw8ke0LXyBFu2QQw5Jx3bdddf0O2u5tthii1ReUQU41U8G6ZryG6QvvvjiYqml\nlkoO05/5zGeKRx55ZExYGPQxaww/i5fMw8pEh1M2ElIWq+Kqe+iVzzfxHS4as1kwvzF18sIj\nOFWzYS6fhslHzMvw+OOPFwJ9IlcLLrhgz4grnMwwqN89J38Ilpcm+1/l8sRnIBAIBAKBQG8R\nMDYgkNlakFM3Rsw555wjPrj5eC8++bLNP//8KSkE1iSewiIL1xTjVFVoMWnAjO9ZmPTmnnvu\n/LOgXNlmm20KYZOQIedXW221kfPVL4ikVesm0Cb7CL2J1N13350+xWjMf86J1zhZpGsNFge2\n1VdfPTHis846KwF8wAEHJLAxWqo+GptOZPbZZ09+S0I1sP8iV1g1MrDYYoulJNZYY43EpJEB\nQTgvvPDC9KBWXHHFTrIY6DVve9vbEvFDsjQU9fDZSrwEGD7bMxKmAbq+l1pBeQvMeuKJJ6YV\ni/JQzmow11ZljOOBQCAQCAQCY0fAOMAUZgEXywFtJasMkrPccsuNPeE2d1bHHmNK2QzZaozJ\nZtqqJhFJy3L00UenINXqc9xxxxV77713sfvuu49opvJ1+dOOIfy1mCppyolJPuLld1mDx5+r\naV/AXO5efHZNsGSKDKy11lrpj9aFrVe8Kj5Q22+/fdJKcaDrxIS48847F/vtt1+ywwLcKjoO\ndBlkREuMrG233TatMqKR2WeffUYeVC9AqEsDSTrzzDOTox5tmrpsPJ1Alhtp9T7LcJHFH/3o\nR0l7JSAq50Gzl1YCp+985zsjp2m0OCi2kzvuuKO4/vrrk+bLSsVlllmmQFZbifKzmWd1tLoh\ns54jezvyZeUim7lYKGYbU0VoDtn8Mx62L5po2tGp8iyinoHAZEXARJr/07333ps0WfoY4Yba\njSdNYMH1xh/zojGPcHXRRxKmPs7vFB7+jNkULIKDG8erctRRRyXfKju1lFfSI5fqzmJDC5ZF\nvmUyl48P6+eYCFa5shzJkSSOc8gFDRQnN3/Uiuyt7QJaCh9gpR+HOxodg3xVONnxF8J6xYrq\nt2hEiIaVivlh+85+/eUvf7n2pbAaAgk0Q+FPxOxnBYfjp59+em2RESPmzrIgaTRMnAXrRGgF\nDVy5+I0wswpvscMOO6QXtu4eL4fVlUyWNGRIhbhY8uBT5yWRnmdgNvLwww8nEluX1mQ65ple\ncMEFqUrascnCnXfeWdCallXik6nOUZdAIBBoBgEEo0wyminF6LlSJFCa0K4xM3IDyi47xhxj\nvLATHOmNGwgYwlh1hbFQjWaLAz2LiVWTWZhNKR+co4ig4bvxxhuTqZFlbLLI88dTEYM0AoWJ\nWy2AUCBTl156adKM0KrwsTrjjDNGzUZspjpylW+kBRoEuZKfxsUOTc2KlPjznf8SrVadCK7G\nxq7hqAeGbiZANUq7VxUrDqvkKl+D4Fm6WhUEiFoWDjR9MGPDR5CQ1PwSlO/T+NVFA1cu9VBG\n9n+zC0JN6+XwieR6XmP1qyvnPZG/8wGgvfNsaQFh6tNvx5lSQwKBQCAQmGoI0EYx1SE9mRjx\nLyasIBzQTcKRKmMKxQMyVZVTTz01LVpA2FybCaZPJkjEjXXKhJZbEd8u/sLcjCaLPG/6oNxV\nZE0k4mtf+1rS5OQNmjllM3Xxz6IGzWLg58iNaLi2Calz5KsrhwGW1gkc6623XnKsz/bifD0H\nQE73dY3JclYkxQBdFkTGygmaorLQOGXtSfl4/m6wF8+kLFZvMOfRcJXFogBBS5FdDbkstDRM\nlp5BWaQlOq+G7aXxl5sCgscM65kOQuDGJKxtyXsQYjaFSM7+b9MqHPJqVViqOyI6CKHxRHwt\nY2aqbEKa3IvSewZ/ZuymVhHmuHBNYK/uMDDpaiJMR/YXLYe4GSQO2r53wGSw6vvTTTn0vYMy\nuekrjW+5z+imnGO5lp/SoOqWy6cv4k7SSrHhnNA6lAnjEW2e9WBQ/e14ytrtvV2bCGk9BAUF\nOpJgIMqrFaqZaxQYMPPLMIlyZ7JRLrdjZYe88rlW97im7p5seiynUf6O8FQlE6Hqcb+dq8un\nTJzK9+X01Sl/rztfPjaZvtfVuVy/0c6Xr43vgUAgEAhMNgRMfP21EpOCqhKi1bXtjhsLJyO5\nUueuTYSc9Whw+PGI1tqKXGVAr7322loTWT4/ET/5RtEKmaFkQUTMrpZeeul8aIZPJlL+V2XJ\n2oj3ve995cPp+6c//ennHCsfEBOkKvzVrECpzjQFq2MyRGarQoWr7NWZMY2WWWMuY77Pb0St\nvEw3n5tMn2ZdtGZmzWXxG2Y0OiGBQCAQCAQCgcBYEeiaYIldwdxFk1XelqZVAYZREyBGlNVk\nnOqpgP0xXwmnwPm9TuweTquH7DA1UnlS+S+++OK1MUIEVWVWrBMDfN32CdJns2ZKYsZifmQC\nNMuwCKBOmD6Et1Ae5MG9ysiUKJic55NVvT4RSzFOmCgns/DpExeGr5WFAlZRwtRvJt3RNIyT\nGZuoWyAQCAQCgcD4EXjB9KWV+3WTjAFIiACe/nx4rGijzeJHYNCeaIQKaehEaHPYk4nBVZwt\nGg7HmDj5l/FLcl2d0IjQbvHTogWy/JQvV46GW3ePcAgGdoFUaZnIIoss0tZfjQ8YTRacldP1\nSJ9gb62ENgbR4muBjFkhR+PGcZH/HOd56fHtEvCNs+EghWN9jmRe1bT1sxyILCyQLe0XhlbD\nDlpd7Tl6LtrNeHxQxoMV/5WmtkqBP82sdw3BH7Ro+97rQfn/Veun7jCQf1lrXr2uX79prLW/\n3P/1K59W6crbOzDe+ud21CqfXh/XZw9qMYw2qp2EDBcCXTu55+rR0lx++eWFsAHiODGPMVGJ\n6GpvIQPVRJCxOLkPstxe0m9+85vFY9O1KIiQ2CK9sGt3WgcdupWOtHU6OnHHdHaDFPn2ysmd\nlo4JVWeE5Op024n60wS6noO1e+p82dqlUT6HrNISqpO0OsHS4B5O7uHkHk7u4eRe7kvK3/VJ\ng3ZyL+cf38eGQNdO7jkbGhFmKX9m3VdccUUyOYmF5S9rZPL18flcBIS5YPKjATRDIZbICnfx\n/ve//7k39PiIDn277bZL4SIQAc+R9sYy3HYasR4XoyfJ5TYoCGtue7SKCH91BWXOkOnXBEE8\nMKSWtpN2cCwk10zWOyDuWc6f5lP+4c+VEY/PQCAQCASmDgJjJlhMOQJc2hHbn82ZaQD4Fgkc\nFjI6AvyshAug7WAmo03h67XVVlulEA3VkA+jp9jdFYLACeFgZpQJls2mrQ4Vb0uZhkVswyCs\nBWf/rLWCra2V4Azjqoh3xYdt9tlnT+2WFlagV6bUbmOxCHvhfcj5I1l83eAoDkyo96vox+9A\nYLgRoFUapLVhuNGamqXv2sn9qquuSk7ATDo2e6RxoX3ha2SQoxUxqIW0R0CQUQFADbwGdAJH\nvkjMdf3GEJFCCPgeZZOY/JmqaNZuv/329hWYQGf57TBz0lRlcqV4tHFM2epaFe0UuUKIMv4+\n/Xbc+U7FZIPmrGyShKWFAhYXwDMkEAgEJhcC3nGT0EH9TS70pkZtulZRCBhq5m8g23LLLVMo\nfI7XId0hQLtBy1HVEiE7Xlx+Qf0UBEJemVzkvOTtWDcEI9/b1CfNKQdd2tM6qXNezseq+Pvt\nuXTj8Ms53fV1Aflg3E1adeWPY4FAIDDxEDCxy/1Iv0unH+m3RaPfdZiK6XdNsKwwo2WxKeMZ\n0yNhn3zyyWlFmhV04kctscQS4YzXQUuyvZCXhvaj7AjtpTXA2/S5n0JTIx++Q2Wtj/z5Mzk/\nLKI9Ilc0f1YGZmFyVcc651CaOvgjR2Xzod9IVt09Od3qp45Pesy7NLtZ8rN0LiQQCAQmHwLe\n8UGIfixk+BDo2kRIW2UpP78rq6Uuu+yytG/RNddckxx6Ob/XBdYcPmj6W2IhLT70oQ8lgpVD\nE3hZDfBMS1Zi9lNoW1ZfffU0A8tLjZWD47eVhAjgsAit2wc/+MHUHnOwV3UR10p7nX26j1VV\nkB5xyGgS8yzUp98LLbRQIkzVe1r9RtSYy5kjkSwCU/kLfTEMG7y2qlscDwQCgUAgEBgbAl1r\nsMrZWF4uKKNo7iK823DYSqrqHnrle+L7fxCg/ePQzuwqBhGiICjoaaed9p+L+vhtzz33TOZA\nkfmZ2Wh87KC+33779THX/iSNECJV3/ve94rHpoe8YObULmlVq2bQXIJp06Yl7SFfNMQSwbVA\nQ3DYbkVe7hcjDrGiBRNnjGYXAQsJBAKBQCAQmFoIjCkOFi2LgUT8K6bCe+65J6FmQLEsfdVV\nV02EayJAOdHjYMFI3KZHHnkkxRGrbtY8CAxpfRA8Dvd1fkT9LgMTXa/iYCFZtEjqwoG/E+Ej\nxcyYPzu5p9U1NFc5plinK4wiDlZs9qyt8HvUfgctJiA0utUtuAZVDnl7B8Sw454wVmGq78a0\nP9Z83MdkZ0JqYjYIMUkbVN0GUZ+pkkfXGixal5122ikNRnx3zPg/8YlPJFI16AjYk+EhnXfe\necWXvvSlFNFdRyM8AHxbaT1oSa688srCak5EAiETtwm5bSU6TrGtbrzxxtSBzznnnOmZMYUd\neuihxamnnppiQCE6a6yxRnHIIYe0zL9VHr0+zlxnNR+CDAtmNuVuF+5APcW00lGrC/MgX7JW\nWCqz7Z5oXLMvFvPoPPPMM6bqMC8K1yCumQEzR8pvpUEbUyZxUyAQCAQCgcBQINA1wTLwfexj\nH0uEyl5unWoJhgKNARdSQFF7OjINIgQI04knnphMXMcdd1xtaZhhRdDnzA17IQBsuo3k1gUn\nRRx23HHHRCRoiWhqxL7addddk28SLWQW10pfmueff34+PPBPbQwZpAnivG6mqMx8nPj3VVf+\nKaBzN9xwQyorXGgChG6AKfN1nQhFcemllyYyJMSDbYu++tWvFiuttFLyw6q7p9UxZkHbRnmW\ncIalCP3KNVF2NWhV9jgeCAQCgUAg0HsEuiZYtCsh40eASe6EE05I/kHU47QsiAMTE9KDUFQd\nzREfmivanLxkF5kQawkxWHTRRZ/jbyTQpeCZNDlZk0K7wiRZJle5RlTffMLEdWqnFcvX9+OT\nDxWzZdlcCiOaIRqtOqdx+znC0CILgrD6e/jhh9OigfLqQueROAszRHuHITxFXEdAHecLJ89O\nxaIPq0FFbyfuhfNtt92WNg63jVRIIBAIBAKBwNRBYEzet2b9tFezT1+dZXCq+5s6EI6tpgKN\n0nIY0MtikEYUEJyqCJhJm5PJVT6PGNCU1PmbyQdxy+Qq39PObOZaPnZNif38qv4GWcvH/FcV\npJR5kIm1LDn8Rd2G3/CCv7ZbFr8d78YfRfpIbtV/jQkdYa0rcznP+B4IBAKBQFMIcDv57Gc/\nmxbndFIG1g1bjIWMjkDXGiw+Jh/96EeTM+KCCy6YlvSPnk1cUUUgkySEqUp+DMp12pM8YFfT\n4hgqjTr/JPnIoyoISytxPe1LU4IY0TBVRUdQV0d19+d81XwIyzoymcmX82Us/CbVdKplKf/O\nBDY/h/I56eW8ysfjeyAQCEw9BPStJnB1/XtTaOg3DzzwwBTqppM9aFlLuFTw/Q1pj0DXBOsb\n3/hGGshoRsbqDNy+SFPj7Dve8Y5k6mL2K2te8mq+uv0c4c0nSZR327JkYVJjTmTuqor4TJdc\ncklyYs+kyQvFRwkxqFu1g5BYDdqUiANmb0vapEw+hZFQ7myCK5fNNe5hCmVWzITJCh+ktGoe\ndC+smO2YHcuLM+xf6HgdluU8y9+ZIpkUbfSsg8r505LpSOtMmuX743sgEAhMbgT0X3wyuXiY\nPOq/xSFceOGFG6+4PrKb1av93satcUB6WICuTYSceTlTB7ka/1M48sgjE7nizM0ZGyFAFg44\n4IARX6JyLoiYjYtpRayw40eFVHhZN9hgg/KlI98RLIsSmLyYGBE6fwgZ53j5ZUKQb7K/ZNXc\nlc8N4hNJmmuuuZLTOcdzf8r/rne9q2W5RL7PhIm5Dgk1U9SB1c0W1ZszO9J5vU9kAABAAElE\nQVTJTwtJ9YnUOe58N4IQI1KeCXx96lSFLMnEtpv04tpAIBCYPAiccsopyU/WpNYkkduA/rcf\nMSOlefDBB6dJ6sbTN5q3Mhy5M5l2fJVVVimMPdkNwvEtttgiLYSCuBXn/HPFYxTweu21104r\n1/PT4Dv85S9/OfVvFlfdeeed+VT6POuss4q8SEsfeNhhh6XV8Rb77LDDDiN7wyJ18tVXCl7u\n/HbbbVfr6jJDBkP0o+s4WB4QgM30h0Hq/JLqyo1Q0DhkE1HdNf04xt+IyhX54Uul8Y9GXtVJ\no/aCIFdIRNWXqFpWGiGr7MyeaM/kQ/OicXuh5O/Ft79kq1V31TR79Vs5qnGwPAdxgTi7I4C0\nUHWaqHIZaLiQK0SVKdEzHY3c0BgK7SAPeYq8ns235bQ7+c4XTFrKLQ3arNHKLF0EEHm2MwJS\n2IRoe9piE+IZab/asw550OLZWxzR1P6b6g6DiIM1OeNg6RM+85nPJO06bVEWJMu7j+zUuTHk\n63w6X/VLLZ8vfz/77LOLnXfeOU04N9tss+KWW24pBJO2c4h2bteLww8/PBEnYXr0W/pL4X8E\nRjY2iG3JKiBskEVPtFY//OEP07Z4rBsmsyeddFIKTO06BJIwgfq9zz77pJXt06YHc6ZAMK7o\n21wn3uCDDz6Y8uWDbHJsdbidNYxFSGiOrVmu1zB+79pEiLGK27T99tsXRxxxRK1PzDAC0Ysy\nG6CRNAO8RmJwHW2wNnvQmMRQoqlZaqmlRi2KjthCAwMiQvDud797VII199xzJ4d6swaDafZl\nUlbhDKSJNCNvYyVYXlShCrw8BgwLIZStncjz9NNPT3Xx8m+44YYpfpVBD+mjoaNNks5oZMV1\nZdNpu3zzOffo9LK5tKy50jGpi3P8DUfbH9KzFF5CmRFGmsPRyoxU6PyQK/XXwXXakeY6xOdg\nEfAOIYLed/51JgiDlKbzH2RdJ0NetOn6szK5Ui/vO825PqDXFgPjkCDgVoJrL9xETK6RKKLt\nfuELX0hxENOByj/j1rXXXpuI3bbbbpvGDObN+eabb4YrWVRwAkoXY4oV2PKm9fJprBF6iAsF\n0YeuuOKKSYOXXWPWXHPNYv/99x85v+yyy6ZxCIkbdhmVYBlwDZRl8aAwTQ/I8v867cndd99d\nvmXSf6c9oVXywmRtiM4XKy+HGygD8e1vfzsxewNzFsv9hcLYbbfd8qEZPs0amPDMFLwkFh3Q\ngFnZ0cqej8AhZF404j4kChE4+uijR9JnpjTj4Rvg+XYjyCF1LxNyrr8ybbPNNsXmm29em5Rt\nlXbZZZcR06g6fe1rX0srWsz6zJyUlSA+yuWF7pUglRdccEHSemnDVgPS4pmhmWnBNucvPtha\na61VrL/++rXZI4POm5WqBwzOPPPMNHNdb731au/xjsCHFk37MUs99thj0wbqCHHIxEPAs6Il\n1S7yHzJtsPTM+y15xWpulz6RePmHTEwEEPD8vMolNCFFuvpB0E0Kbd9FjEPcF8rjOB/TdtYd\n41bWqvk0htWtxmZC3HrrrdOqQhNK2jPH+AoTYxPf1DPOOCONN/p0QouVCdYiiyySjvlH+0W8\nZ5NBnj9aJXQamGn5DwgGc5HAMe/yufx9tHQn23nEgrnNAI1506RQf9IO1TVM9TczQK5grBH7\n8yIaZA3YVaHlOuigg9IA7gXy4riH6rUV8aDlYn9HIJis/Hl+4jOVyVU5L+pgBKcb2W+//ZIP\nk9Ul6u6FVEYknGq5KgiFvRBhY5ajHXnpvXh777138gGQhujt/pxHhnrls4AEIZ1mWTkPkd+R\nLhjb05Dzez5nEBV1H251wrfAwOuZZ5OPPCx/rnuWNCCf/OQnk/rc9QZIn/J33L0hEwsBA6KJ\nhPfODJ+W1icNRKt3vJc10Gbkb1CWd85fGx5E/r2sy1RKi/YG4SgTGu+3/hy58Bx7LchLWRtv\njClrxv1uJ1XLSzmt8n3I4brrrpt8siheaOM32WSTdIlxCaljmjTZZg6tm2yW8zKekTpCmk4M\n2b9RNVgGTJvhhrRHAMHyEpUboheH/dmgWX2JaK+QCQ293Ng1MC+fKO8G+rJwLERMEJcsuUHq\n5GnQmLLKolzuybMF59xvFWg74TNAa9OJGHgQDySkXH+/rdKjqq6aCtVfmV1TFhgiKrRtyHoW\n+MGRCc52NuMVmiYdXJ4x5fTM9Dh40gqUVfo6J+Xly2Z2VxZpCXSKXOXn4bwOxUyMeh4BK4tn\n5b5qp+c3LagtfPjKhUwcBAwYOn4EK4vnbZCh/UWQ+yn6C1LN33si/2of08+yRNqdI6Bd0PJ8\n/vOfT5Nwd2pH3u86wtF5yhPjSoTKYqpzzz039efLLLNMKtjFF1+cVk1SPOSV1I6RqTKB/M9I\nnaod/8aCgJcFyTDAVgV5yqa58rk8mymTq/J5g3lVHGt1vWsN2FXRKZdJTz4/2oy3Lv98b/VT\n504T16qDr8sLWYJbmZBIN/+uewENLPLqhXheJOeX0/TbuTrMEFOEuSqwUt5qWq7zvOrugYnr\nq8/TMX9191Tzjd+DRcBEpfq8lMAx5/otrdqY9jKI/Ptdv8mcvlXbHMpp8/m9Ulww4ZUny8Na\nfxNOq76tBOSPpT0SddQuTZgRLJp81glisjIVZFQT4VQAYbx11MEyb3lxyqJD1MDqZraWpLqv\nSiSQDkKtWhWaG+fr7tGobZVTFSZLBK96D+f4dlK217e7zjl191clP0iX8tb5E1k1gjBRK5eF\nGURd8ktaPufaXml1soaqautHfJgsq8fVA1mtW+EJS+RS2cvi2cO9btEAZ0/nM9HL90lDu9Bh\nhUwsBGiKqu+REnqGtJX9FvmX/TVzfoPKP+cXn2NDgHZev573Op0M5CojwUWFqXrj6WEhskyb\nNi25rli4w23G6sV99903WXpo8KeCdB2mYdhAyZqi0crNx0cDyQRntOur560Cs72M+5njDJ7S\n48eDGNURBk6BTE7EoJrzRopaNUDERJwl1+d73McBnAq6KsiVlX18qjRymhnaI59W7wmDUBWm\nscemm6m6Ec6MnO/VU/11+ggXouBc2dyW0+UUz9HdwGGAMqtBYpg5M/mCBSz5nvDJsnK1albM\n6XX7yYmd+RLZMtuSB22UlTLKrCzl/JkTLW8um1tznhYfOOeZ5IEQBvwvLrvssnzZDJ9WzsjH\n9bSfCKTnBZeqSXGGG/vwA6mMMA2/bYus90wbQcKZBbV1bdantlnXxtsm+O+TJmDZBF6n7c5p\nyN+KNO1Ee9HW8oSE3+NY89cXaNPdaK1zmXrxKW/vPw18HYHsNA++PGWTe6f3jeU6zwLZrk6q\nx5JWJ/doY4OqWyfl6eYa/aAxp9sV3t3kMVGvfcF+02WiFq4X5aozT9Wl6wU3oI5VdHjZSRvZ\n8gIiF4JjtpqpWHVmhR8y42XVYVIl8wFq1Vla0srfSUfrHtdxMjzqqKNqi67zzNoq/lA0M1Z+\ninWy++67p1V7ZXOUWRbS1+2MHCnhqM13SEetLosvvngqV6uOQRBO9WCjh72yLrfccsWpp56a\ntD5COPgz6HAGteIQEeiVIL/IFRKuo0Tq5C9oKE0ZvOSv06cd5HyOiNcJNbmBkglAm1MXy40R\nr1arhPgtaBswc4+BRqA9BAt+gxSDU1VrN6j8tWEkUxtApgctsNbeq9rUajlcB6dMrLQLxMh7\nr/xjFffCQP51GrKcbs7fJ2IHK+XxTrTqL/K97T7VRxsdT//XLv3Rzsk7T6ja1X+0dHI7Gu26\nXp3XxyMPgxDPfDxtbBBlbJWHvrDOitPq+sl0PDRY/36a49VglRuFwdLL3mmn58VBygz2ndqm\nde5mfN3ECtF56ZR1ZmUxK7eibtp0la5Vc+MRedCwIWr+OhEkwwzHQFWdwSNfzled0TtJt9Nr\nYAkTeVfJsEHPsU6fpTQQJhoNz7MTQc4Ncp5Np8+/k3S7uWayaLBgiCgatDt9ZgYvkwNtsBsx\nwLp3vNKpBqucj/fMX7W9lq/p9LsBMDRYnaL1r+tCg9UdXlP16nBy7+GTZ2L50Y9+lMxuOi2O\nfUxEBtDRBLHpRt2sY+2GXMnfIO4vCyJoxQdClIX5jQatvD9fPjfap7hOTH5Mo8pn5SBfs1Ya\nLAOEMBb+kByYCYxHW2TlqlhUtEgGMdpAMaNywLrRytLJeYOxYKLyyoOlvGnLlIV0o8mzylPA\nPRpB9ed78OlPf3pUk6b6wQjJDhkbAp7fHXfckVaZwt87J4wMLWp1QjG2HJ57Vy/I1XNTbX/E\ne6KdqKM6qydy2EpL2j61OBsIBAL9ROA/o20/c5kCaSMVQghQs9MG0N7we0IeDOQTUTgdlsmV\nMuq8l1hiia6Li1iKE6X+TJA6feRF/BODQp0wRV5++eVJ0yA+FzLDJ4pvmBAVTHc0QfyjaIWE\njmBS7JXwmZMfDeLss8+ePpFLx7sV5MqeW3xiPHsDnrQtz56oz7/bOk7k671n4r2ZQNB2Mt2J\nKo3wTxYxIaFt5tuIWDEPMlF5J6oLLCZLnaMegcAwIxAEq0dPL2/pQgOkkzdrRg50iJapTjQR\nXbdVuZCkvLdUp+W2jQKCxClc/X3n+2WrGRtTV4UZx96IHB9pb9zDVELrJ1idMvhOE8TUg4Ax\n4RhEeyG0hYKWekbyzfn77Xg32kRmQdtBKKt602x4/uol3ph6hvQPAeQCKdb2kFvPEvlA9HO8\nsf7lPriUmau9F8ijOmpnWTte9qMcXIkip0AgEGiHwKQ3EdKkdCJMQp36zFTTo6o3k0QWqqp6\nRMLA264c2dSgsxyUI6NI5e2ERoATfCei42duRE6q9Uc4YFOtf/Zt4neV649Iuc5gUec4jAiZ\nrVfT6qSM1WuyU3t2WlcGg7K/PFh1mg8toHvy4J7z0qb8Idnt0jJYEvWTfxOiDO3K2M8yleuP\nPHQr8PUO0nSWBZY0ss6NVjfPabRrymn38ru8CT8oZW0luR7VNpJ/j6f8o/VRrcrUi+Pl+o8n\nvar/5njSinsDgV4gMOkJVqd+LciVkAXtOrh2gDMDWT1nkCyLgdwMu105EAuaLw7Og1rJNZr/\nFoLTrszlOjJdGCTVH8koixm389W0YOIPPkgZcomIOUb7Awu/y5Jn79W0ytd0+l0+8pC/Dt7A\njvR5jjnvTvNBzqQhzapjtfakfu3SUnfaLs9e3k0IotmujP0sE4IAfyS9+sw7ydc9Blems7K/\nFey1Gefb1c3z8/61u6aTcoz1GnWHgbbYjiRoH8pYNblrM9rdWMuv7TbpAyhv74BJynjM6dII\nCQQmEgKTnmAZ3DsV146VYNnHjrM0DVTu5HX4WSvTrhw5T5/truu0Hp1cJ9yDsAet8tt5551b\nnqtLX5gC29/o5DLJ4EOFcHLgr+ZjQGNC5FuVw0i45rHpISvsc3n77benATfPznO8LoH6qmnV\nlWe0Y2b7zI785Gaf7n9FdO7y51CPcHeaDy2dkAz8yWgCskbGgGHwHK3M+fnLr9M8U4F7/K+p\nvHP9x9r+tRFhNZi9PUuEQVo0iyYSNFvt6pY1qO2u6THUMySX6y//dmXwXilrJlQS0WaRSO25\n3b0zZFj5Ic2xYl9Jakw/c/2bLMNYCu49Rw5DAoFWCEx6gtWq4r0+zt/DDLzsb0RzYVWaAXgi\nymmnnVZsvPHGzymaAJjdmhs4xnP0t5JQR+mPyePjH/94+nxOJtMPiBZPu4DUwMhAYfWiWFBn\nnnlmIizMPwYAg4towfDshUhzxRVXTPsEyj9rUDzHFVZYYcRs2WletoBgvhTXLBMsaYpPhkyG\n9BcBq2FpIPn8wV/7Q6xWW221RHr7m/tgUvcOqJPVylnTrZ4W1eSJyGBKErlAQB/iLyQQaIVA\nxMH6NzK9ioNFa5XNTrQgnfhUuca17kPSBik0Q8iBfaJ01FbqIRljFZtLc0ZHLmmIkIx2YgbO\n2T53VEyTtECEg7jViX6L7i69Xgtzi02faR2ZZ7Jj/VjyoUGwkvThhx9OpArprJpM69JFLpFR\nJp6mTISTIQ4W/D1L7yDC4VlmbWod7vmYtmdC0W0crHz/eD9peb0n8m9nIsz5eGeYo5Er7baT\nOuZ76z5p/CIOVh0yrY/BXnvTZw9CQls2CJR7n0dosHqMqY7K30QTRIUJhZbIPnhiPSFBgpXq\n3H33yY9qNIIlhIKQDGbRZtR+T5s2LWmwrJi79957EwbCQLz//e9vCwWtF61P9t+yb1/2D2P2\n6WbvQSbJs88+O+VPa0RDlXd2b1UI5A1x6wXB0Amqs79OxerTb3zjGyliPNw/+tGP9oVIdlqe\nYb4O/qO13WGuXy47QjRRteK5jJ1+IoomFvoSk0tk0XMMCQQmAwKhwfr3U+yVBmssjaLfGqwL\nLrgghTdAJnTOmWTxm9pyyy1TkWlydGxmZkcffXTBR6tObLHDP6oq22+/fdI42VqGH1aeia+9\n9trFZpttVr08/WbOOfbYY1PnipSaDepgt91227RlUO1NLQ7y5RJzihZAGmb5ZMMNN0y+Zi1u\nGzncC4I1kliHX6688spit912S07Lno1noOzHH398Yc/JQUoT9c/1Q+xpcZBsA+6gZdg0WL3G\npykNFkLFBSBr8HzXF5q0eR+6FVrLQflEhQar26czNa+PqcIkf+40JN/61reSVkgARqEUOJ0z\nv/F1Mqj7I1TeOg6DPs1SVThx15Er19loWtT1ueeeO5lmOP0zu9jM+Mc//nE1qZTnGWeckYgY\nJ3fmHOUy2DneranswAMPTGVWP2ZGnbSBWwBQGrKJJgYXUd7hzYyIYPpETPfaa68RgjrRyh3l\nCQR6gYB2zpcMoUKwspnce58XtPQin0gjEGgSgSBYTaI/gLxpdpCW8hJmv/lu0GTVCU0WX6Kq\n2IS5ndC+lAVpoEmyhUlVkDF/2RyYzwsWidxVI8zn83WfTAzMklXHfARL/tddd13dbY0eEwAT\n/spYFoON+iPAIYHAZEWAptKELq+4zvXUT5l8mHiEBALDjkAQrGF/gqOU3yo9hKoq7Tow17uv\nKnXHytdks1z5mO/ZXFg+Tmsmn7qyOZa1auV7Wn3PDr+9SKtVHr0+DpNW5XV8NKx7XZ5ILxCY\nCAho+1mTPhHKE2UIBMaDQBCs8aA3BPcyvyE+VcKiE+N7UScIS104hJVWWqnu8pFjVcKQzXzz\nzDPPyDX5C1Mef4mqKdIKMA73TIadCnOg8A7VQIvZn8cG0hNNbIQNr4xRLp9QA8wm3Tj353vj\nMxAYFgSy5qo6KfM+8KUKR/dheZJRznYIBMFqh84kODf//POnFYM5fAIS4jtT3Kc+9anndGSc\nSzmL1xGcrbbaqshby1ShEWgTMXrkkUeSo7kVfcx8H/jAB2pXErp23XXXTeYAS+uVi4M8R+e1\n1lor+WVU82j3W2BUnTZHWc7y0uHwLshnN6v62uXRy3Nw3GabbZJTt4CkzIXIJSLsuURco16i\nHWlNNARMIpj0mQORKpMh3xGriBs30Z5WlGesCLxgv+ky1puH4T4vbSeSA112cm2vr0Fq+B4w\nC/XaNERLIvQBB2qkw2/aqY2nBxhdcsklk6YEKTLAW+K+xx57pFV8repo1eFNN91UIFDMjDpK\nhExATfkgCZxUxfVaY4010rlWs1FaJ1HT5a2Dlb9Vh3Xas1blyceFWpC/YJ/KoPNeb731ij33\n3PM5JDLfU/5EaHLwxvLxfn6nWbMYQBww9afpg/9omsJ+lKmJ+ud68N3TjrSDqkYjX9PPT++E\n95/2sAlRdxjIn2Z50OL9NOGB/yBFn+dP/5f/vLdVX85Oy5TbUafXj/c6/V+v++tWZdJGtZNe\niHfsgAMOSP3taGT2/PPPLx6bHojZ4qWQ7hGIMA3/xmwyh2kYrVkIl8BUx+H6ne9852iXtz2P\nKCAqtEnS0zGMJjp3Lzpi1NQg16swBcil1VEGbGbQTuqf92Bjsu1kmbmOnXYO1oisvMYrdfVH\nyK1CNQjON998z3FIHm+e+X7tZNjCNBhYPQftvNUEItdvtM8cpqDTQKOjpdft+abCNORyWgyj\nDYvJV3VlyNd08mmS0Mn700lao13j2SPD3QYapdXXR7AQjEZuymXQxnpVN20XVt/5zneKpZZa\nqpzNc77bCcFCpJNOOuk55+LA6Ah0H2xk9DTjiiFBwMBOI3X99den2ZEXj++PbWqqq/s6qZII\n5kIycODWAfGNEoHdyzzZxazw4osvTp1WHiRopDbZZJMUNqKu/rSrAqNaZWmgdt9iiy1WrLPO\nOjOs+izfiwgLl2FWScxqmUEFju2EzKWbOvh38sknp07VIOKPSfnQQw8tJqI/WwfV6dkl3hFE\ngLYnEyyTs+pq0J5lGAlNCgS4Lnzuc59LW4mpEFJrGzH9L+3dIIWmr27h0SDLMFXyCh+sqfKk\na+rJB4i5z0DBD8JAKqwD3yjfuxF+VGJkIVPIGXJFk2MD7Ew4uklv2K610TWCxRTL1Mn8KdTC\niSee2LIzO2N6vK/vf//7I7HJYHb11VcX1PJ1QmP19a9/PZErMc1mn332pPlBuHoZ6+vCCy9M\ncc3MmrN2yQChvficqoJEq7/nkHGBEXN5U5rXqfoshqne+j+x7fSPNMWzzTZbem9Nrs4666ye\nV+Xmm29OJkB9CZcLwZYvueSSkXyUZ4sttkh9fT6oLBtssEG6Vh/Tqs8+5ZRTCv6uJocm5vxF\ny6IPNBEjSJx89E1iLgpSfcwxx6R7y/dM5u9BsCbz021TN4TIC1idyXixaKJuueWWNnc/9xRT\nEhU2cxIx8CAMzB5m/JNZYEjdLsBp1taZoSJa/NvE6KoKh36aK9dknxPaKMRJDLLq6kr3W5xg\nMEes4EsM9MyEdXHL0gVj+KcTVX6mW0IzxoyDRNjWZ6pK9hUsm2Q9OxoI5u2QQKAOAZPMBx54\nIE26srZKG/LefuUrX0mEve6+sR7j8nHEEUckskSzrR82aba9GTF59o6LQ0jsP7vDDjukibHd\nPezKccIJJ6Rz5X92+PjkJz+ZfGv1Oybj5557bvmS4rbbbhvpI0xI5GMBlHdn1VVXTbtUbLTR\nRmlSP8ONk/THYHWTkxTEYawWExOzVJVgqYvjzne6XYs0+F3R3lQFEaiGIqheM+y/+WGY0VVX\nXqq7P75MVbFqEnGBdVmQLB2Te6qBU+WTiVX5Hp0dEkuz0gtHWCQuk75yPjpmm4JPVdHO6/A3\naMI+JBCoQ4DWM/cF5fPeWxMtk1D+mr0U7h8Ilf1YiQkTEsX9oCze9f3337/43ve+l1wNnKNh\nu+iii2YgQccdd1zSil1xxRXJHaGcxmjfl19++SIHqV5ooYUKf/KbNm3aaLcO/fnQYA39Ixxb\nBWhK6siV1ByvkoV2uSAJZmR1RIr5sReDfrv8mz6no6S5qq5YVXekpM6ZFRl1vqqKN1DrjOvu\nkY97qoLccpSuI0XVazv5bcbL16gqCKF2M1VFO6/D3zPsFfZTFdvJXG+abe2m2nZohGn8abJ6\nLfrcMoFZbrnlEpFjuSiLHSVcWw5lY/X3OeecM+LTedlllxU77rhjWt1MI9atrLDCCiO38MmF\nR93uHiMXTaIvQbAm0cPspipMU16qqgYlm7Y61V7lPC3jtTomkyydifADiIQXajKLwZUanM9Z\nXuqOWD02XQsI53nnnfc51UdgxShzTSZZSI0OEPZ18caEouDDQYskfYJcmQG7p1dO7hzzadGy\nVsazNCM2GPCjmKqi/rRVZX8rkxF/ddrbqYpT1HtGBBZeeOE0YaWtyu+td4vWmdksu1XMeNf4\nfulzy6bsTOKqk0B9tPzb9R36dHvNMgfSYJWlShrrJu36wCzy8a5Uy5HPT7bPIFiT7Yl2UR9L\nb80oaEy8ZMiVDZepln3vRmg2pMWMRe1MLc7EJaZVlcR1k+6wXEsVL34V3ylLsf0hnRzDW2k3\nEBmdL1LFV0sML4FZ+UvUCZ8os0vmBOkjZ0it2akYYL2SNddcMzmn6ix1hP500DpZ5oOpKt4J\nCzg8T5ho64goTMqD2VTFJ+pdj4D39qCDDirsquEd1z/qJ1ZeeeVC8OZ+CDLHFyvLlVdembTs\nb3/72/Oh9Km/z6Fl8glaLcQvTyRWX3315KTOYX3zzTdPky3X0nxViRI/0arw9c2i31KuqbIa\nOXyw8pOfgp/MUFZ9WOXB54eZS8Ov8zMZDR4zE4QC0aJVMdPn9N5uZjRamsN0Xn2t2KHJQi5h\nCYt2WMKHX4TO1kBtAK/6XVUxoNmyKoi2zCwY8WEe7LUol/oIu4F8I3DZ6b3XeQ1TegYVBJe2\n0ewd2Wr3jIepblHW/iEw+/SFKfyQrCy2IELfUNbs9CNnvlVHHnlkWhwj742nB5euttX3v//9\nKTTPJz7xieQYry/59Kc/ncKyVCcNhx12WPGtb32r2HXXXQthXPT3NNvC+pgUWs3svIl2WayU\nXGaZZVJ9pY1oCi0zFSQI1lR4yqPU8V3velcyPRm0OxEzkksvvTQRA5HYaTx8EoNwNwMxlTPN\nCLOX0AZe9LGaocy8rFqxYkdHYYZY16l0UsexXGPWaKZoFSbyShvVic8Cc6FVehzfs4m1Xf46\nSX5S/ZRbb701RZU3I6WB1CFaRcQPbKqLSQOiFRIIdIOASZg9SAch+hMTsDzJo/kWIqEqyiQs\ngxANCJP3m88UclYVE0JhZ2i3pEdzbsXhZpttlv64PNiJworqstDS8wdjHhXI2tghrakgEcn9\n3095KkdyB0FdJO+6F8BMiAOkmbtBhrbK54EHHvicmUvd/eVjZj577733iF+Cc7Q4Yqt4cbu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gaK5R5P3l+o8pqxDJx4n+kksuyVgFjut+gSVKgb//RGvHZ8kpmt58mYKpnnzyyd6k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\nQYoiLcWKhZ+WRAREoDYISMGqjXFSK0VABEIInH766aEBKpkur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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) + geom_point(mapping = aes(x = displ, y = hwy, alpha = class))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "ou la variable `shape`" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message:\n", "“The shape palette can deal with a maximum of 6 discrete values because\n", "more than 6 becomes difficult to discriminate; you have 7. Consider\n", "specifying shapes manually if you must have them.”Warning message:\n", "“Removed 62 rows containing missing values (geom_point).”" ] }, { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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O7cLDBuDJIcPzdobuRMSpgJxy2YNJiVM0NPQhg7GND+n3/+GXsX0KRw/YF/EkLb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p1NKyZUvrY4b5k7UHX3rpJet8D7mDaEAs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\nK8Cdj+oQgAAEIAABCMSHwP8BC8MzhuL7xZIAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) +\n", "geom_point(mapping = aes(x = displ, y = hwy, shape = class))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "on obtient un message d'avertissement nous indiquant que l'argument `shape` contient seulement 6 catégories et que dans nos donnés nous en avons 7:\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Une autre méthode, particulièrement utile pour les variables catégorielles, consiste à diviser le graphique en facettes, sous-placettes qui affichent chacune une catégorie (ou groupe) des données.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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zdu3DjHV3kemXxQTsqbR1gB+APXPLL24n2jTYooVj7s/QCrUOm2/Iry+eabb8rP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\nqg1KEwL1jYCWCOsb8QZ+3tNPPx3bgr/+9a+x93RDCAgBIcAu4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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data = mpg) +\n", "geom_point(mapping = aes(x = displ, y = hwy)) +\n", "facet_wrap(~ class, nrow = 2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Quelques exemples\n", "\n", "Bien évidemment, on ne peut pas couvrir tous cas possibles de graphiques. On ne peut les maîtriser que par la pratique sans avoir à connaître par coeur la syntaxe. Vous pouvez toujours consulter [cet aide-mémoire](https://www.rstudio.com/wp-content/uploads/2015/03/ggplot2-cheatsheet.pdf) qui résume bien comment tracer des graphiques avec la librairie `ggplot2`\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "\n", "## geom_bar\n", "\n", "Il est toujours plus rapide d'avoir une idée de la forme des données catégorielle lorsqu'on les représente dans un graphique de type `bar plot`\n", "\n", "Soit les données suivantes qui montrent les moyennes des résultats d'examen du cours ACT3035 du groupe d'hiver 2018 vs automne 2017.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 1\n", "\\item 1\n", "\\item 1\n", "\\item 2\n", "\\item 2\n", "\\item 2\n", "\\item 3\n", "\\item 3\n", "\\item 3\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 1\n", "2. 1\n", "3. 1\n", "4. 2\n", "5. 2\n", "6. 2\n", "7. 3\n", "8. 3\n", "9. 3\n", "\n", "\n" ], "text/plain": [ "[1] 1 1 1 2 2 2 3 3 3" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c(rep(1,3), rep(2,3), rep(3,3))" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "dat4 <- data.frame(\n", " session = factor(c(\"Aut17\",\"Aut17\",\"Aut17\",\"Hiv18\",\"Hiv18\",\"Hiv18\", \"ETE18\", \"ETE18\", \"ETE18\")),\n", " examen = c(\"Examen_1\",\"Examen_2\", \"Examen_3\",\"Examen_1\",\"Examen_2\", \"Examen_3\", \"Examen_1\",\"Examen_2\", \"Examen_3\"),\n", " moyenne = c(20, 24, 26, 21, 22, 23,18, 20, 19), \n", " ordre=c(c(rep(1,3), rep(2,3), rep(3,3)))\n", ")" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
sessionexamenmoyenneordre
Aut17 Examen_120 1
Aut17 Examen_224 1
Aut17 Examen_326 1
Hiv18 Examen_121 2
Hiv18 Examen_222 2
Hiv18 Examen_323 2
ETE18 Examen_118 3
ETE18 Examen_220 3
ETE18 Examen_319 3
\n" ], "text/latex": [ "\\begin{tabular}{r|llll}\n", " session & examen & moyenne & ordre\\\\\n", "\\hline\n", "\t Aut17 & Examen\\_1 & 20 & 1 \\\\\n", "\t Aut17 & Examen\\_2 & 24 & 1 \\\\\n", "\t Aut17 & Examen\\_3 & 26 & 1 \\\\\n", "\t Hiv18 & Examen\\_1 & 21 & 2 \\\\\n", "\t Hiv18 & Examen\\_2 & 22 & 2 \\\\\n", "\t Hiv18 & Examen\\_3 & 23 & 2 \\\\\n", "\t ETE18 & Examen\\_1 & 18 & 3 \\\\\n", "\t ETE18 & Examen\\_2 & 20 & 3 \\\\\n", "\t ETE18 & Examen\\_3 & 19 & 3 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "session | examen | moyenne | ordre | \n", "|---|---|---|---|---|---|---|---|---|\n", "| Aut17 | Examen_1 | 20 | 1 | \n", "| Aut17 | Examen_2 | 24 | 1 | \n", "| Aut17 | Examen_3 | 26 | 1 | \n", "| Hiv18 | Examen_1 | 21 | 2 | \n", "| Hiv18 | Examen_2 | 22 | 2 | \n", "| Hiv18 | Examen_3 | 23 | 2 | \n", "| ETE18 | Examen_1 | 18 | 3 | \n", "| ETE18 | Examen_2 | 20 | 3 | \n", "| ETE18 | Examen_3 | 19 | 3 | \n", "\n", "\n" ], "text/plain": [ " session examen moyenne ordre\n", "1 Aut17 Examen_1 20 1 \n", "2 Aut17 Examen_2 24 1 \n", "3 Aut17 Examen_3 26 1 \n", "4 Hiv18 Examen_1 21 2 \n", "5 Hiv18 Examen_2 22 2 \n", "6 Hiv18 Examen_3 23 2 \n", "7 ETE18 Examen_1 18 3 \n", "8 ETE18 Examen_2 20 3 \n", "9 ETE18 Examen_3 19 3 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dat4" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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0zObRJIawJUsFzcfGaoS288eADbB48trr2h48bkVLCs38Wjjz5qk/q/oZghPW7O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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(data=dat4, aes(x=reorder(examen, -ordre), y=moyenne, fill=session)) +\n", " geom_bar(stat=\"identity\", position=position_dodge(), colour=\"black\")+\n", " scale_fill_manual(values=c(\"#f293ce\", \"#a5bcef\", \"red\")) +\n", " xlab(\"Examen\") + ylab(\"Moyenne\") +\n", " ggtitle(\"Évolution de la moyenne \\ndes examens du cours ACT3035\") +\n", " theme(plot.title = element_text(hjust = 0.5))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Rmarque:** . \n", "Par défaut, le `geom_bar` utilise le nombre d'occurrences d'une variable (_count_) comme valeur de la haute de la barre. Si l'on veut que la hauteur corresponde à une valeur d'une variable dans le _data frame_, on doit alors préciser cela avec l'option `stat=\"identity\"` car cette dernière est `stat=\"bin\"` par défaut.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## geom_line\n", "\n", "On peut aussi représenter ces données sur des lignes continues en ajoutant deux petites lignes représentant la moyenne ± l'écart-type" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Pour ce faire, ajoutons à notre df les données de l'écart-type" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "dat4$se<-c(.33, .27, .5, .25, .7, .5, .7, .4, .7)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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3bPDuTR5MifFk5/IKEOfOB523GhDF0H8qCcjz/+WP2v4H7XbTPjimtEBAFBoPgI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jG1v3cyU4CUDbgOcj7FuZaicQqBos1FzJ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\nCHSIW9m4cWM55ZRT5LXXXpM33nhDH1/bf3jR4h4xPhJQHvXH/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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat4, aes(x=examen, y=moyenne, colour=session, group=session,)) + \n", " geom_errorbar(aes(ymin=moyenne-se, ymax=moyenne+se), width=.1) +\n", " geom_line() +\n", " geom_point()+xlab(\"Examen\") + ylab(\"Moyenne\") +\n", " ggtitle(\"Évolution de la moyenne \\ndes examens du cours ACT3035\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Nous pouvons faire la même chose avec les `geom_bar` que nous avons vu;" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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foPq0JQSCArCWS8CskKRhCItmBh/UHT8XWB3IiE/BI6ArRgFVyTYNFl/A6WL1/u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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat4, aes(x=examen, y=moyenne, fill=session)) + \n", " geom_bar(position=position_dodge(), stat=\"identity\") +\n", " geom_errorbar(aes(ymin=moyenne-se, ymax=moyenne+se),\n", " width=.2, # Width of the error bars\n", " position=position_dodge(.8),\n", " size=.3 # Thinner lines\n", " )+\n", " ggtitle(\"Évolution de la moyenne des résultats \\nd'examens du cours ACT3035\") +\n", " theme(plot.title = element_text(hjust = 0.5))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## geom_histogram" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "La grande différence entre un histogramme et un graphique de type `bar plot` se situe principalement dans le type de données. Dans le premier cas, les données sont groupées par des données catégorielles. Alors que dans le deuxième cas, les données sont présentées en groupe de données continues (quantitative).\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "![The Difference Between Bar Charts and Histograms](https://www.edrawsoft.com/howto/charts-comparison.png)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Nous avons besoin alors des données continues afin d'illustrer quelques exemples d'histogrammes. Générons-en quelques données continues;" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "set.seed(1234)\n", "dat <- data.frame(cond = factor(rep(c(\"A\",\"B\"), each=200)), \n", " rating = c(rnorm(200),rnorm(200, mean=.8)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Nous avons généré 200 observations **(A)** tirées d'une distribution normale centrée réduite, et 200 observations **(B)** tirées d'une distribution normale de moyenne mu=.8" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "\n", " A B \n", "200 200 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "table(dat$cond)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# head(dat[sample(nrow(dat)),])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Puisque nous avons là des données continues, représentons-les alors dans un graphique de type `geom_histogram`;" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FGAACuJ2FwKAQQQQAABBPwhQIDlj3amlggggAACCCCQRAECrCRicykEEEAAAQQQ\n8IcAAZY/2plaIoAAAggggEASBQiwkojNpRBAAAEEEEDAHwLpJlSzqalJVq5cKVu2bJGysjIZ\nNmxYSLFaW1vl9ddfl3Xr1sngwYNlxIgRIdtZQQABBBBAAAEETBJwPMB64oknZPbs2XLkkUdK\nVlaWLFy4UE4//XS5/PLLLScNrqZOnSpbt26VY489VpYsWSInnHCCTJs2zSRHyoIAAggggAAC\nCAQEHA2w2tra5N5777UCqHHjxlmFeu655+Saa66Rs88+Ww455BAroNqzZ48sXrxYsrOzZdOm\nTTJp0iSprKyUQYMGBSrCAgIIIIAAAgggYIqAo2OwPv30U+txX0VFRcDj6KOPtpb1caGmuro6\n0e0aXGkqKSmxHiPW1tZa6/wHAQQQQAABBBAwTcDRHqyCgoKIR31PP/20pKWlBXqn9NFgcXFx\niJuub9u2LSRPVzTo2rlzZyC/sLBQ2gO2QKaBCykpKdKzZ08DS+ZckdQkNTUVF+eagCsjgEAH\nAl77vOZ3kH1Dx+viaIAVXqV3331XFixYIOecc4707dtXWlpaZMeOHZKbmxuyq65v2LAhJE9X\nbr/9dqmvrw/kl5eXy6JFiwLrJi/07t3b5OI5UjYNtHFxhJ6LIoDAPgS8+LnkxTrtowm7tCk9\nPd32d1Bzc3PXju/SXknY6Y033pCrr75aTjzxRLngggusK+ovWO3F0EArOOl6+yPD4Pxf/OIX\nsmvXrkCW9pAFrwc2GLagAePu3bsNK5Wzxdl///1Fx+g1NjY6WxCujgACCIQJuOH3SliR97na\nq1cvPmvDhPR3kH7JTseA26XMzEy77JA8I3qwdJzVrFmzZPz48XLRRRcFCqjdc/n5+RENr8FI\nv379Avu1L5x00knti4Gf+ojR9KQ39xdffGF6MZNaPg06NcDCJansXAwBBLog4LXPpZycHD5r\nw9pdA6y9e/faumjnT1eSo4PctYArVqyQa6+9VrT3KTi4ai98aWmprF27tn3V+qnzYfXv3z8k\njxUEEEAAAQQQQMAUAUcDrIaGBrnllltk9OjRMnDgQFmzZk3gn37DUNPYsWNl+fLl1iSjGk0u\nXbpU9PnnmDFjTDGkHAgggAACCCCAQIiAo48Ily1bJjqLu377L3zaBR2PpXNdjRo1SiZMmCDV\n1dWSkZFh9VzNnDlTtEuThAACCCCAAAIImCjgaIA1ceJE0X+dpcmTJ1v76dgrHbhOQgABBBBA\nAAEETBZw9BFhNDA6Yp/gKhox9kUAAQQQQAABpwRcE2A5BcR1EUAAAQQQQACBaAUIsKIVY38E\nEEAAAQQQQKATAQKsToDYjAACCCCAAAIIRCtAgBWtGPsjgAACCCCAAAKdCBBgdQLEZgQQQAAB\nBBBAIFoBR6dpiLaw7I8AAggggIDTAlVVVU4XIXD9mpqawDILZgnQg2VWe1AaBBBAAAEEEPCA\nAAGWBxqRKiCAAAIIIICAWQIEWGa1B6VBAAEEEEAAAQ8IEGB5oBGpAgIIIIAAAgiYJUCAZVZ7\nUBoEEEAAAQQQ8IAAAZYHGpEqIIAAAggggIBZAgRYZrUHpUEAAQQQQAABDwgQYHmgEakCAggg\ngAACCJglQIBlVntQGgQQQAABBBDwgAABlgcakSoggAACCCCAgFkCBFhmtQelQQABBBBAAAEP\nCBBgeaARqQICCCCAAAIImCVAgGVWe1AaBBBAAAEEEPCAAAGWBxqRKiCAAAIIIICAWQIEWGa1\nB6VBAAEEEEAAAQ8IEGB5oBGpAgIIIIAAAgiYJUCAZVZ7UBoEEEAAAQQQ8IAAAZYHGpEqIIAA\nAggggIBZAgRYZrUHpUEAAQQQQAABDwgQYHmgEakCAggggAACCJglQIBlVntQGgQQQAABBBDw\ngAABlgcakSoggAACCCCAgFkCBFhmtQelQQABBBBAAAEPCBBgeaARqQICCCCAAAIImCVAgGVW\ne1AaBBBAAAEEEPCAAAGWBxqRKiCAAAIIIICAWQLpZhUn8aVJTXVHDOmWcia+hTo+Y0pKiuDS\nsQ9bEEAAgUR8RvJZ2/F9ZOerXl1Jng+w8vLyuuLg6D7agG4oZzKR9AZOS0uL2+XMM89MZrG5\nFgIIIJBUgUT87uB3kH2TdfQ7qKWlxf6AsFzPB1gNDQ1hVTZvtaioSNxQzmTK9e3bV1pbW3FJ\nJjrXQgAB1wkk4ndHYWEhn7VhLd+vX78Ofwdp4JWVlRV2ROSqO56fRZabHAQQQAABBBBAwFgB\nAixjm4aCIYAAAggggIBbBQiw3NpylBsBBBBAAAEEjBUgwDK2aSgYAggggAACCLhVgADLrS1H\nuRFAAAEEEEDAWAECLGObhoIhgAACCCCAgFsFCLDc2nKUGwEEEEAAAQSMFSDAMrZpKBgCCCCA\nAAIIuFWAAMutLUe5EUAAAQQQQMBYAQIsY5uGgiGAAAIIIICAWwUIsNzacpQbAQQQQAABBIwV\nIMAytmkoGAIIIIAAAgi4VYAAy60tR7kRQAABBBBAwFgBAixjm4aCIYAAAggggIBbBQiw3Npy\nlBsBBBBAAAEEjBVIN7ZkFMzVAlVVVa4uP4VHAAEEEEAgHgF6sOLR41gEEEAAAQQQQMBGgADL\nBoUsBBBAAAEEEEAgHgECrHj0OBYBBBBAAAEEELARIMCyQSELAQQQQAABBBCIR4AAKx49jkUA\nAQQQQAABBGwECLBsUMhCAAEEEEAAAQTiESDAikePYxFAAAEEEEAAARsB5sGyQXFrFnNPubXl\nKDcCCCAQm4BJn/s1NTWxVcKjR9GD5dGGpVoIIIAAAggg4JwAAZZz9lwZAQQQQAABBDwqQIDl\n0YalWggggAACCCDgnAABlnP2XBkBBBBAAAEEPCpAgOXRhqVaCCCAAAIIIOCcAAGWc/ZcGQEE\nEEAAAQQ8KkCA5dGGpVoIIIAAAggg4JwAAZZz9lwZAQQQQAABBDwqQIDl0YalWggggAACCCDg\nnAABlnP2XBkBBBBAAAEEPCrgilfltLa2yuuvvy7r1q2TwYMHy4gRIzzaHFQLAQQQQAABBLwg\nkLL3m2RyRTS4mjp1qmzdulWOPfZYeeGFF+SEE06QadOmdanYelx3JpPeA9Wd9eTcCCCAAAII\nuEUg3vci9uvXT1paWmTHjh0RVU5LS5OioqKI/PAM43uwlixZInv27JHFixdLdna2bNq0SSZN\nmiSVlZUyaNCg8PqwjgACCCCAAAIIOC5g/Bisuro6qaiosIIr1SopKZGysjKpra11HI8CIIAA\nAggggAACdgLG92DpI77i4uKQsuv6tm3bQvJ05YYbbpDNmzcH8rWH62c/+1lgnQUEEEAAAQQQ\n8L5AXl5e3JXUR4F259GhS11JRgdY7c8/c3NzQ+qi6xs2bAjJ05VXXnlF6uvrA/lNTU3So0eP\nwHp3LDzxxBPdcVrOiQACCCCAAAIOCqSkpNjGEM3NzV0qldEBlkaPqamp1kCz4Npo4KXjscLT\nokWLQvZNT0+Xjz/+OHw349YLCwtl+/btxpXLyQLpAMK2tjbbAYZOlsvpa3OvRLaA3iv6F2VD\nQ0PkRh/nFBQU8P9PWPv37dvX+h3BvRIKw70S6qFr+7pXNDbRz+LOktEBlkaP+fn50tjYGFKP\n3bt3i47wD085OTnhWRHHRuxgSIbhX+Z0RElNcImkxyTSRHNwiXTBJNKEewUTewH7XLv/h+zy\n7I42fpB7aWmprF27NqTsOh9W//79Q/JYQQABBBBAAAEETBEwPsAaO3asLF++3JpkVKPGpUuX\nij7/HDNmjCmGlAMBBBBAAAEEEAgRMPoRoZZ01KhRMmHCBKmurpaMjAyr52rmzJli9zgwpGas\nIIAAAggggAACDgkYH2Cpy+TJk2XixImiY690MB4JAQQQQAABBBAwWcD4R4TteJmZmQRX7Rj8\nRAABBBBAAAGjBVwTYBmtSOEQQAABBBBAAIEgAQKsIAwWEUAAAQQQQACBRAgQYCVCkXMggAAC\nCCCAAAJBAgRYQRgsIoAAAggggAACiRAgwEqEIudAAAEEEEAAAQSCBFK+mbxzb9C65xZ37txp\nfJ30G5JdfXmk8ZVJUAHr6upkv/32kxEjRiTojN44DfdKZDvqvaIvdS8vL4/c6OMc7pXIxtd7\npWfPnjJ8+PDIjT7O4V6JbPznn39esrKybO8VfUfy/vvvH3lQWI7nA6yw+rLqEoFhw4ZZL9tc\ntmyZS0pMMZ0SOProo60JiB977DGnisB1XSJw1FFHycCBA+XRRx91SYkpplMCZWVlcsghh8jD\nDz8ccxF4RBgzHQcigAACCCCAAAL2AgRY9i7kIoAAAggggAACMQsQYMVMx4EIIIAAAggggIC9\nAGOw7F3IdVjgjTfeEB14OXjwYIdLwuVNF+BeMb2FzCkf94o5bWF6SdasWWN90Sqe30EEWKa3\nMuVDAAEEEEAAAdcJ8IjQdU1GgRFAAAEEEEDAdAECLNNbiPIhgAACCCCAgOsE0l1XYgrsG4Gm\npiZZuXKlbNmyRXROEp0bi4RAsMDmzZuteyQ/P1+++93vSk5OTvBmlhEICOjniE4emZaWZt0r\nxcXFgW0sIGAn8Morr8iuXbvk5JNPttvcaR49WJ0SsYMTAk888YScccYZopNH1tfXy7Rp0+TW\nW291oihc01CB+++/XyZNmiTr1q2TJUuWyMUXXyxueHODoZyeLtavfvUrOf/882XDhg3y+OOP\nW/fNiy++6Ok6U7n4BD755BOZOXOm1NbWxnwierBipuPA7hJoa2uTe++9V6ZOnSrjxo2zLvPc\nc8/JNddcI2effbY1u253XZvzukNAe65qampk7ty5MnToUGlpabHul8WLF1s/3VELSpkMgfXr\n14t+fjz44INSVFRkXfK6666TefPmyTHHHJOMInANlwno76AbbrhBUlJS4io5PVhx8XFwdwh8\n+umn1jsIKyoqAqfX16Fo0m5+EgKrVq0SfcSjwZWm9PR0OfXUU+P6axNVbwpor+YFF1wQCK60\nlvp58vHHH4vHX8XrzQZNQq3+8pe/WMHViSeeGNfVCLDi4uPg7hAoKCiwHgn27t07cPqnn37a\nGjsxaNCgQB4L/hXYunWr9f7BYAENuHbs2CH61ycJgXaBUaNGybnnntu+av3Uz5MhQ4bE3UMR\nclJWPCGgPZ4aYOkTE3qwPNGkVGJfAu+++64sWLBAzjnnHOsF0Pval23+ENDeh9zc3JDK9urV\nywquPvvss5B8VhAIFtDHyDqJ5KWXXhqczTIC8tVXX1mPBqurq6Vfv35xizAGK25CThCPgD4O\nfOqppwKn0DESwd2yOvPy1VdfbeVpNz8JARXIyMiwxl0Fa+g4LE1ZWVnB2SwjEBBYuHChLFq0\nSG688UahNzzAwsJ/Be644w4pKSmR0047LSEmBFgJYeQksQpob8Ojjz4aOFxfS9AeYNXV1cms\nWbNk/PjxctFFFwX2YQEBfYy8cePGEIjdu3dLXl6e9XqLkA2s+F5AHxvPmTNHli9fbn0buX1M\np+9hAAgI6LcG//73v8uRRx4pV111lZWvT0+am5ut9enTp0vwsJXAgftYIMDaBw6bul/g4IMP\nlgceeCDiQitWrLC6arUb/6yzzorYToa/BfS+0ak8tNdKB7hrWrt2bcS4LH8rUft2Af1GmD4W\nnD9/vpSWlrZn8xOBgEDPnj3lwgsvDKzrgj5h+fzzz+Xwww+3es1DNnZhhQCrC0jsklyBhoYG\nueWWW2T06NEycOBA64OxvQQDBgwQnVSS5G8BnfhPf1nq4x6dC0t7s3R+oxkzZvgbhtpHCCxb\ntszqubriiiuksbEx5PNEJzDWiUdJCOiYzvPOOy8EYvv27aL/wvNDdtrHCgHWPnDY5IyAfiDq\nLO46wVv4JG86HquystKZgnFVYwT2228/q4dT5zPSIEv/+vzhD39ozdBtTCEpiBECDz30kFWO\n2bNnR5TnySefZMxehAoZiRJI+WYekL2JOhnnQQABBJItoGMnCgsLJTWVWWeSbc/1EECgYwEC\nrI5t2IIAAggggAACCMQkwJ98MbFxEAIIIIAAAggg0LEAAVbHNmxBAAEEEEAAAQRiEiDAiomN\ngxBAAAEEEEAAgY4FCLA6tmELAggggAACCCAQkwABVkxsHIQAAggggAACCHQsQIDVsQ1bEEAA\nAQQQQACBmAQIsGJi4yAEEPCSwJdffimbNm2yJrj1Ur2oCwIIOCdAgOWcPVdGAAGHBN588035\n4x//GLj6M888Y72WSV+3Q0IAAQQSIUCAlQhFzoEAAq4SGD58uLz00kuBMhcUFEhFRYX07ds3\nkMcCAgggEI8A7yKMR49jEUDAlQItLS0h5S4vL5ennnoqJI8VBBBAIB6BtF9/k+I5AccigAAC\nyRSYP3++bN68Wfbs2SMzZsyQ9evXy6BBgyQ7O9t68/1dd90lNTU1ct9998mrr74qPXr0kJKS\nEquI+t5Cfenvs88+K/oa1i1btsghhxxiHTd37lyrB0vfa/j222/LvHnz5Mgjj5Tnn39e/vCH\nP1jn0+sOHTpUMjIyQqq8fft2efDBB+XWW2+VF198UYqKimTdunXy5z//WY4//viQfVlBAAF/\nCPAuQn+0M7VEwDMCRx99tPTu3VvWrl0rDQ0NVr008Nm4caP84Ac/kC+++EKOOeYY66cGO21t\nbdZ4q8mTJ8v7778v+lPHXB1wwAFWYHb77bfLBx98IKeddpoVJI0dO1Z0LFZlZaW178KFC62g\nSs+rwdywYcPk5ZdfDrxcWoMr7QH79NNP5aSTTpIdO3bI6tWrreBszZo1ogPoSQgg4D8BxmD5\nr82pMQKuF9AAadKkSVYvlvYU9e/f3+rN0mDmnXfesR73ac+TBl1paWlyxx13WHU++OCDZcWK\nFZKSkmIFULp8xBFHdOjxz3/+U3RA/GuvvSb19fUyZcoUK3havnx54JgJEyZIY2Oj1Vv28MMP\nS11dnfz+97+XVatWBfZhAQEE/CdAgOW/NqfGCLheIDU1VW688Ubp2bOn1Qulj/v0ceE//vGP\nkIHqBx54oIwcOdJ6BBhLpS+++GIpKysLHDpu3DhrWad00KS9Vf/617/k5z//uRx22GFWnv5H\nAzF9lEhCAAH/CjDI3b9tT80RcK3AgAEDrLFV7RXQHqlTTjlFdu7cKUuXLrXGP+njPO150h6u\nWL8dqOOzgpOOrdKkjws16aNATXbBlD5KfOutt6zt/AcBBPwnQA+W/9qcGiPgeoE+ffpE1OH+\n++8XDbx0DJWOm2pqapLzzjtPdEqGWFNWVlbIoRrIadIeM006/kpTZmam9TP4P9q7RkIAAf8K\n0IPl37an5gh4RkC/HaiD17UnSXuwDjrooEDd9NuE7QFRIDNBC+09XO+9917EGe3yInYiAwEE\nPCtAD5Znm5aKIeAfAX0UqHNb6bcIg4MrnW5hw4YN1rZgDR343tzcHJwV07I+Bhw4cKAsWLBA\nvv7668A5dEB8bW1tYJ0FBBDwnwABlv/anBoj4DkB/Sagzk11zz33yLJly6z3Cv71r3+Vk08+\n2ZpOQb/lF9yLlZeXZ32b8M4777SmaIgVRK+p82ppQHXssceKztF18803y/e+9z2rPO2PFGM9\nP8chgIB7BQiw3Nt2lBwBBP4roGOvFi1aZM1tdfrpp1u9SpdeeqnMnDnTmjJBe5d0+oT2pPk6\nh1Z1dbU8/fTT7dkx/dQxXzqdg05oOn36dHnggQfkhhtukFNPPdWa/DSmk3IQAgi4XoCJRl3f\nhFQAAQSCBXQ8lgZUOkXDvlJra6s1Oai+hzDWniY9h05Sqo8ldeqI4KQzuGtZtHeLhAAC/hMI\n/UTwX/2pMQIIeExAp2ToLLjSKus4LH0tTqzBlZ5DgyqdJ0tngQ9O2lumE50ed9xxwdksI4CA\njwTowfJRY1NVBBBIvMDll18uc+bMsV6Xo71WOrBeZ4gvLS21JiHNz89P/EU5IwIIGC9AgGV8\nE1FABBAwWUDfdfjcc8/Jk08+aQVW2num70LUObj08SMJAQT8KUCA5c92p9YIIIAAAggg0I0C\njMHqRlxOjQACCCCAAAL+FCDA8me7U2sEEEAAAQQQ6EYBAqxuxOXUCCCAAAIIIOBPAQIsf7Y7\ntUYAAQQQQACBbhQgwOpGXE6NAAIIIIAAAv4UIMDyZ7tTawQQQAABBBDoRgECrG7E5dQIIIAA\nAggg4E8BAix/tju1RgABBBBAAIFuFPg/T3zxXXHo8dMAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=rating)) + geom_histogram(binwidth=.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "On voit bien qu'on ne peut pas distinguer les observations `A` de `B`. Pour ce faire, nous devons alors ajouter la condition à `fill=cond` à notre `aes`" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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NnejW2s9rGTt3URi9bVq1frNK5PdhvaVPeldfVLcvIZZ9WvoKBAcnNz/VJVR+XU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\nfAgggAACCCDgO4H/B3DNCbk6hakFAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=rating, fill=cond)) +\n", " geom_histogram(binwidth=.5, alpha=.5, position=\"identity\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "On peut même ajouter la moyenne de chaque variable;" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "
condrating.mean
A -0.05775928
B 0.87324927
\n" ], "text/latex": [ "\\begin{tabular}{r|ll}\n", " cond & rating.mean\\\\\n", "\\hline\n", "\t A & -0.05775928\\\\\n", "\t B & 0.87324927\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "cond | rating.mean | \n", "|---|---|\n", "| A | -0.05775928 | \n", "| B | 0.87324927 | \n", "\n", "\n" ], "text/plain": [ " cond rating.mean\n", "1 A -0.05775928\n", "2 B 0.87324927" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "library(plyr)\n", "cdat <- ddply(dat, \"cond\", summarise, rating.mean=mean(rating))\n", "cdat" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Ou calculer directement la moyenne de chaque groupe comme suit;" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "0.873249267913921" ], "text/latex": [ "0.873249267913921" ], "text/markdown": [ "0.873249267913921" ], "text/plain": [ "[1] 0.8732493" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "moyenne_B<-mean(dat$rating[dat$cond == \"B\"])\n", "moyenne_B" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Utilisons les données `cdat" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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J+/ac1wAgfTKwcaYOn5G+SkXWK0TvXz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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=rating, fill=cond)) +\n", " geom_histogram(binwidth=.5, alpha=.5, position=\"identity\") +\n", " geom_vline(data=cdat, aes(xintercept=rating.mean, colour=cond),\n", " linetype=\"dashed\", size=1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## geom_density" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "On peut présenter ces mêmes données sous deux courbes puisqu’elles sont continues;" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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zP+zwjIEwEktwz+30LQ4Y+Kst/cBI5o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\nMlYvs+l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6JtIBAAApKW5amnnlL5Dd2n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\nAAR0S+D/A4ea9vc6foPbAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=rating, colour=cond)) +\n", " geom_density() +\n", " geom_vline(data=cdat, aes(xintercept=rating.mean, colour=cond),\n", " linetype=\"dashed\", size=1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Sans oublier qu'il est aussi possible d'ajouter des courbes aux histogrammes;" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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FAGOp8unHwdlxnGleVEhZJjZZ85k0zR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\n/cUJ2YZJoW/LPyTPjcySJJunl+mm1uNpLpEABdY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AAJkAAJkIBVCVBgWbVlWC4S\nIAESIAESIAHbEqDAsm3TseAkQAIkQAIkQAJWJUCBZdWWYblIgARIgARIgARsS+B/AfL9MXhX\nfE6NAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=rating, fill=cond)) +\n", " geom_histogram(aes(y=..density..),binwidth=.5, alpha=.5, position=\"identity\") +\n", " geom_vline(data=cdat, aes(xintercept=rating.mean, colour=cond),\n", " linetype=\"dashed\", size=1)+geom_density(alpha=.2, aes( colour=cond))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## geom_boxplot" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Lorsqu'il s'agit de présenter les données statistiques de base sur des catégories de variables, un graphique de type `geom_boxplot` devient alors incontournable;" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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HT5hRMnTohOMCNZJ1BcXCwNPIurjWzS0LpCKQmBcgJbjh6TF7fvDGrSablD2UQA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\nZDtkAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=cond, y=rating, fill=cond)) + geom_boxplot()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Voici comment renverser les axes;" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(dat, aes(x=cond, y=rating, fill=cond)) + geom_boxplot() + \n", " guides(fill=FALSE) + coord_flip()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ggcorrplot" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Lorsque nous avons des données où nous trouvons la corrélation entre chaque variable (deux à deux), il peut être difficile de voir où sont les variables les plus (ou les moins) corrélées;" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
DOAMZNAAPLBAFBHONITWNFLX
18.06 750.57 108.6043146.1413118.42 111.5562122.7038117.00
17.70 768.66 114.3968152.2714115.05 114.0969124.5074123.80
16.38 823.48 119.8588159.8419130.32 116.5296125.3345140.71
16.84 845.04 135.3066176.2839135.54 122.6161130.0739142.13
16.71 886.54 142.5098174.4757142.05 123.6397130.5272147.81
14.42 924.99 142.4999182.3383150.25 129.8480136.7335152.20
\n" ], "text/latex": [ "\\begin{tabular}{r|llllllll}\n", " DO & AMZN & AAPL & BA & FB & HON & ITW & NFLX\\\\\n", "\\hline\n", "\t 18.06 & 750.57 & 108.6043 & 146.1413 & 118.42 & 111.5562 & 122.7038 & 117.00 \\\\\n", "\t 17.70 & 768.66 & 114.3968 & 152.2714 & 115.05 & 114.0969 & 124.5074 & 123.80 \\\\\n", "\t 16.38 & 823.48 & 119.8588 & 159.8419 & 130.32 & 116.5296 & 125.3345 & 140.71 \\\\\n", "\t 16.84 & 845.04 & 135.3066 & 176.2839 & 135.54 & 122.6161 & 130.0739 & 142.13 \\\\\n", "\t 16.71 & 886.54 & 142.5098 & 174.4757 & 142.05 & 123.6397 & 130.5272 & 147.81 \\\\\n", "\t 14.42 & 924.99 & 142.4999 & 182.3383 & 150.25 & 129.8480 & 136.7335 & 152.20 \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "DO | AMZN | AAPL | BA | FB | HON | ITW | NFLX | \n", "|---|---|---|---|---|---|\n", "| 18.06 | 750.57 | 108.6043 | 146.1413 | 118.42 | 111.5562 | 122.7038 | 117.00 | \n", "| 17.70 | 768.66 | 114.3968 | 152.2714 | 115.05 | 114.0969 | 124.5074 | 123.80 | \n", "| 16.38 | 823.48 | 119.8588 | 159.8419 | 130.32 | 116.5296 | 125.3345 | 140.71 | \n", "| 16.84 | 845.04 | 135.3066 | 176.2839 | 135.54 | 122.6161 | 130.0739 | 142.13 | \n", "| 16.71 | 886.54 | 142.5098 | 174.4757 | 142.05 | 123.6397 | 130.5272 | 147.81 | \n", "| 14.42 | 924.99 | 142.4999 | 182.3383 | 150.25 | 129.8480 | 136.7335 | 152.20 | \n", "\n", "\n" ], "text/plain": [ " DO AMZN AAPL BA FB HON ITW NFLX \n", "1 18.06 750.57 108.6043 146.1413 118.42 111.5562 122.7038 117.00\n", "2 17.70 768.66 114.3968 152.2714 115.05 114.0969 124.5074 123.80\n", "3 16.38 823.48 119.8588 159.8419 130.32 116.5296 125.3345 140.71\n", "4 16.84 845.04 135.3066 176.2839 135.54 122.6161 130.0739 142.13\n", "5 16.71 886.54 142.5098 174.4757 142.05 123.6397 130.5272 147.81\n", "6 14.42 924.99 142.4999 182.3383 150.25 129.8480 136.7335 152.20" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_app<-read.csv(\"https://raw.githubusercontent.com/nmeraihi/data/master/stocks_correlation.csv\",\n", " header = T)[ ,2:9]\n", "head(df_app)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Dans ces données, nous trouvons le prix de l'action des entreprises citées dans le tableau au 2017-01-01. On peut alors calculer la corrélation entre les variables avec la fonction `corr`" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
DOAMZNAAPLBAFBHONITWNFLX
DO 1.0000000-0.5991331-0.5734723-0.4594365-0.5740901-0.5931147-0.4391862-0.4808701
AMZN-0.5991331 1.0000000 0.9491803 0.8523493 0.9373536 0.9481765 0.9413468 0.9313529
AAPL-0.5734723 0.9491803 1.0000000 0.8722640 0.9504718 0.9553516 0.8783502 0.9275452
BA-0.4594365 0.8523493 0.8722640 1.0000000 0.9606722 0.9450005 0.8729395 0.9550461
FB-0.5740901 0.9373536 0.9504718 0.9606722 1.0000000 0.9786910 0.8972479 0.9762811
HON-0.5931147 0.9481765 0.9553516 0.9450005 0.9786910 1.0000000 0.9464567 0.9539829
ITW-0.4391862 0.9413468 0.8783502 0.8729395 0.8972479 0.9464567 1.0000000 0.8993815
NFLX-0.4808701 0.9313529 0.9275452 0.9550461 0.9762811 0.9539829 0.8993815 1.0000000
\n" ], "text/latex": [ "\\begin{tabular}{r|llllllll}\n", " & DO & AMZN & AAPL & BA & FB & HON & ITW & NFLX\\\\\n", "\\hline\n", "\tDO & 1.0000000 & -0.5991331 & -0.5734723 & -0.4594365 & -0.5740901 & -0.5931147 & -0.4391862 & -0.4808701\\\\\n", "\tAMZN & -0.5991331 & 1.0000000 & 0.9491803 & 0.8523493 & 0.9373536 & 0.9481765 & 0.9413468 & 0.9313529\\\\\n", "\tAAPL & -0.5734723 & 0.9491803 & 1.0000000 & 0.8722640 & 0.9504718 & 0.9553516 & 0.8783502 & 0.9275452\\\\\n", "\tBA & -0.4594365 & 0.8523493 & 0.8722640 & 1.0000000 & 0.9606722 & 0.9450005 & 0.8729395 & 0.9550461\\\\\n", "\tFB & -0.5740901 & 0.9373536 & 0.9504718 & 0.9606722 & 1.0000000 & 0.9786910 & 0.8972479 & 0.9762811\\\\\n", "\tHON & -0.5931147 & 0.9481765 & 0.9553516 & 0.9450005 & 0.9786910 & 1.0000000 & 0.9464567 & 0.9539829\\\\\n", "\tITW & -0.4391862 & 0.9413468 & 0.8783502 & 0.8729395 & 0.8972479 & 0.9464567 & 1.0000000 & 0.8993815\\\\\n", "\tNFLX & -0.4808701 & 0.9313529 & 0.9275452 & 0.9550461 & 0.9762811 & 0.9539829 & 0.8993815 & 1.0000000\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "| | DO | AMZN | AAPL | BA | FB | HON | ITW | NFLX | \n", "|---|---|---|---|---|---|---|---|\n", "| DO | 1.0000000 | -0.5991331 | -0.5734723 | -0.4594365 | -0.5740901 | -0.5931147 | -0.4391862 | -0.4808701 | \n", "| AMZN | -0.5991331 | 1.0000000 | 0.9491803 | 0.8523493 | 0.9373536 | 0.9481765 | 0.9413468 | 0.9313529 | \n", "| AAPL | -0.5734723 | 0.9491803 | 1.0000000 | 0.8722640 | 0.9504718 | 0.9553516 | 0.8783502 | 0.9275452 | \n", "| BA | -0.4594365 | 0.8523493 | 0.8722640 | 1.0000000 | 0.9606722 | 0.9450005 | 0.8729395 | 0.9550461 | \n", "| FB | -0.5740901 | 0.9373536 | 0.9504718 | 0.9606722 | 1.0000000 | 0.9786910 | 0.8972479 | 0.9762811 | \n", "| HON | -0.5931147 | 0.9481765 | 0.9553516 | 0.9450005 | 0.9786910 | 1.0000000 | 0.9464567 | 0.9539829 | \n", "| ITW | -0.4391862 | 0.9413468 | 0.8783502 | 0.8729395 | 0.8972479 | 0.9464567 | 1.0000000 | 0.8993815 | \n", "| NFLX | -0.4808701 | 0.9313529 | 0.9275452 | 0.9550461 | 0.9762811 | 0.9539829 | 0.8993815 | 1.0000000 | \n", "\n", "\n" ], "text/plain": [ " DO AMZN AAPL BA FB HON \n", "DO 1.0000000 -0.5991331 -0.5734723 -0.4594365 -0.5740901 -0.5931147\n", "AMZN -0.5991331 1.0000000 0.9491803 0.8523493 0.9373536 0.9481765\n", "AAPL -0.5734723 0.9491803 1.0000000 0.8722640 0.9504718 0.9553516\n", "BA -0.4594365 0.8523493 0.8722640 1.0000000 0.9606722 0.9450005\n", "FB -0.5740901 0.9373536 0.9504718 0.9606722 1.0000000 0.9786910\n", "HON -0.5931147 0.9481765 0.9553516 0.9450005 0.9786910 1.0000000\n", "ITW -0.4391862 0.9413468 0.8783502 0.8729395 0.8972479 0.9464567\n", "NFLX -0.4808701 0.9313529 0.9275452 0.9550461 0.9762811 0.9539829\n", " ITW NFLX \n", "DO -0.4391862 -0.4808701\n", "AMZN 0.9413468 0.9313529\n", "AAPL 0.8783502 0.9275452\n", "BA 0.8729395 0.9550461\n", "FB 0.8972479 0.9762811\n", "HON 0.9464567 0.9539829\n", "ITW 1.0000000 0.8993815\n", "NFLX 0.8993815 1.0000000" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mat_corr<-cor(df_app)\n", "mat_corr" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Utilisons la librairie `ggcorrplot` qui nous offre beaucoup d'options pour visualiser un tel type de graphique" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "library(ggcorrplot)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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xITd8DaYx9/qI84LcL9nGsjGl+CSK0HsaLkYYy+eC/H+yTEax2DeteFiA+qxniU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XrJ8ccfL+np6Y713333XbPZ7nHHHRd0I+BNmzbJ5s2b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gLxGoWLEiVa5cmY4ePaqsWHnZd171hRii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\nUWRkJK1atYrOnj1LHTp08An95H7zicsgSggCHkNACJbHoJSGsoMA4nM+++w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UKL\ngBCsQnvp5cQFAUFAEBAEBAFBwFsICMHyFrLSriAgCAgCgoAgIAgUWgSEYBXaSy8nLggIAoKA\nICAICALeQuD/AcURELprTto9AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggcorrplot(mat_corr, hc.order = TRUE, type = \"lower\",\n", " lab = TRUE)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Modifions un peu ce graphique;" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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LTxJbByINhO3LhLtuEB0L2jImQztnfsyZGnMlJlbEpCrf68vVkGYXbx1kzJQj/H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pCpKa9wlz/4XxrzSfm8dgfdP1u7s82bUb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\n0uaAyQb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/V8rIRdP6i2kWzRlTQoZ9Ft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\nQ3oD5PuCZQpWH8SFmZEsnWwUebg8dU+d4Q3s4IK8du2amuAaAwKQNwwjBfF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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggcorrplot(mat_corr, hc.order = TRUE, type = \"lower\",\n", " lab = TRUE)+theme(\n", " axis.title.x = element_blank(),\n", " axis.title.y = element_blank(),\n", " panel.grid.major = element_blank(),\n", " panel.border = element_blank(),\n", " panel.background = element_blank(),\n", " axis.ticks = element_blank(),\n", " legend.justification = c(1, 0),\n", " legend.position = c(0.3, 0.85),\n", " legend.direction = \"horizontal\")+\n", " guides(fill = guide_colorbar(barwidth = 7, barheight = 1,\n", " title.position = \"top\", title.hjust = 0.5, title=\"Corrélation Pearson\"))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Conclusion" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Bien sûr, il ne faut pas s'attendre à ce que l’on connaisse par coeur toutes les options de graphique. Car de toute façon, il existe beaucoup d'exemples dans la documentation de [ggplot2](http://ggplot2.tidyverse.org/reference/#section-plot-basics)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Slideshow", "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": "4.1.2" }, "latex_envs": { "LaTeX_envs_menu_present": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": { "height": "84px", "width": "252px" }, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 4 }