{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Preamble\n",
    "\n",
    "Most of this workshop is taken from Hadley's [R for Data Science](https://r4ds.had.co.nz/) book. You can find more examples, explanations and exercises there if you want.\n",
    "\n",
    "## What this workshop covers and does not cover\n",
    "\n",
    "In this workshop you'll learn principles behind exploratory data analysis and visualization, including tidying and transforming data to answer questions you might want to ask. What you will *not* learn is how to make specific plots.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "There are exercises spread throughout this workshop. We're not going to cover them, but feel free to work on them if you feel like the lecture is going too slow for you. Solutions to a few are at the very end of this notebook.\n",
    "\n",
    "## Some useful but not necessary notes\n",
    "\n",
    " * With Jupyter Notebook you can get a nice popup of function definitions just like you can in RStudio. Simply navigate to a cell or start a new one, and enter in `?function` like you would normally. A popup will appear.\n",
    " * You should see an `Insert` dropdown menu and `Run` button at the top which lets you add cells as well as run code or render Markdown in the cells, but these are very useful keyboard shortcuts for the same functions:\n",
    "     * `Shift+Enter`: Run code or render Markdown in the current cell you're on\n",
    "     * `Esc+a`: Add a cell above\n",
    "     * `Esc+b`: Add a cell below\n",
    "     * `Esc+dd`: Delete a cell\n",
    "\n",
    "# Package prerequisites\n",
    "\n",
    "Packages that required in this workshop are **tidyverse**, which includes the packages **ggplot2**, **dplyr**, **purrr**, and others, **gridExtra** which helps with arranging plots next to each other, **ggrepel** which helps with plot labels and **maps** which is for map data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(tidyverse)\n",
    "library(gridExtra)\n",
    "library(ggrepel)\n",
    "library(maps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you get an error message “there is no package called ‘xyz’” then you need to install the packages first. (They should have been preloaded on your notebooks but if not it's ok, it won't take long.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#install.packages('tidyverse')\n",
    "#install.packages('gridExtra')\n",
    "#install.packages('ggrepel')\n",
    "#install.packages('map')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizing Data\n",
    "\n",
    "Core feature of exploratory data analysis is asking questions about data and searching for answers by visualizing and modeling data. Most questions around what type of variation or covariation occurs between variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sVCIARCIARCIAReSWCoHejvwGO1VzJJyCgJdMOBfjV10FHWuXW6xr8hR0q/jTZA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\nrJBhPk5dFZ2ODG/lNJEkFgIhEAIhEAIhEAIhEAKDQ8C5izrBjr7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WvRP9EOl46Kxvgto1L1oXIJ1gbxDWQOug6egxdDDSdB4ts5DlFOsu\nH0FjYc+QaVGO9Xm4btvwZVG7Np2ERV72q/zs0yLsXtY1f9dFmO0suBZhnzPRBNnKlPsosi4z\nkc70FcjjUvl70qYj03hu2gVtgfZA3gyYToelXfOcdg8yP88RnkMuQcXx+xDr86J2zVH0+9Dv\n0HvQKmga+iX6G/L3EhtcAp6v7kdeT49Dv0Uel7ej9dFE2gEUrgP6TbQu8lj9NPJ35DG/AOp1\nO54K+hv393kuOh35GzXsGuQ5Pzb+BIbagT4S3h6E/qgaTTD+8HRYO3FeGvPp5vYhtfr8maV1\n1wHaE/kj2hrV2+vYOBpZf+9gx9O84Ftuu6Nh41G3JSlkFrocXY+sn9LBOhvpVOmQdGJvJXHh\ncJiXzojypmYk9mV2KpzJIr8bCVtrBJnNyz57INtsXsq8HCEqbCYr1tfjx2VRZtEOl4uhbtp6\nZGZ5hRNd1M2yirBPdVCgvwGd4WZt0Cn1AjkXct0yimXR1mLbUf6Jsq9T8GPI49CldbM9v0e3\noPORo7zadkhH1bYUbXAE6i2oE1uZxN4g3YrkXvSDzq5hOhxro05sMomPQPaH+fmbOhttiGKD\nS8Df9FNob+R1szAHJA5FOtJT0ETaDhRef96/m+1voX5wPJennt6ceD64CRW/Vc/t5yB/v73i\no1CVoTKPd/tjo6FqNY31oupI1S4VDTfNbPTdijTjGbUNhZ2AbkPFj6hYehEtbCtWvBAa9zs0\nBxpP24nCLLuXHOgfUJ9rUXGCX5T1pVDBZj/Wr0MjsUns9D602kh2brLP4oTpNJvvaM32efPw\n6oaM1mBbJ2xmLdy++me0Tm17C5bG68B107yI6bQWbfPEsyUq+uFm1v+K2jHbZF6fqCUu2rBm\nbXsZljqJ/41sy25IWxjpHBbH549YN35nNN62BAXqrH6kVvDcLJdF89e2vXg+hratbReLog1F\nuiK83eUxJDwLFdxXZH2lup09z5xWt93JamMbOtk3afuPwLlU+eiSas9J+AXo8JL48Q72vO/5\nsDjux7v8kZR3EDtdivRHNM979W04lG2d69j4E9Cf0NcZOgd6Xhr9NPoQqrKLiSw7OVTtN9Zx\nngjejL6E/AEdhgpzNFonxB9etx5PLUdeU9rUrqTzoCocFFYn3HTMPl9RCx0I67xyRZpBijqP\nxug0LlvRKB27ZyviRxL1d3Y6sGLH7YizH9aoSFNEvZ8VR+x12MrsP4iwHY7SVJn1urEqwRjF\nfZh8HVHW0SgznY8jyyJHEG5ZMvE8UWbTiLDve+k3XFbXhE8cAZ05zyMbVlTBmz9vZGMjI3Av\nu32sYtc3Euc5c+mKNIkaGwID5UBXXUgb8ek8X4Y+jhyN8STQaCsQ4MF5RGNED2x7Qjq/psbq\nnEmAo5h/a4wY4bYjUzqg/Ww6ijMqGjCzFme6fm9rRTNfjHJkU7v7hUXTvzqnyzSNGVmgo846\nb1dX7O4Nq7Y6avVEwL66E1U5+fa5JzlHcavM88FrqhKMUZw3prejZuefokjbsFmx0YWlTs/8\nqOr3YJwjXo50PY5iIdCMgOcHR3NbHUuLkMbBHG/cYu0T8De4FGrF1xw9H+psx0JgRASqRnGa\nZfgJAnWQT0LrIy+0mj90R2fOQNej3yAd0kJefHrBytrrvFydZ398i6HRzvO6hTxei6a2qd1I\n12umo2j9y2xKLaLKoSzbtx/D76pV2pNumeloVTl2ZfuVhXtMmt/aZQkI37gW5++uldlXk1HV\njfOKxD+D/E1X2bxEPliVYIzibMMKqOy3bLEet908Lr0x8hwhmzKzTEfl7y9LkPAQgIAO23Oo\n6txqnE9E4zwDoUPzN3gfasXXbLt5jjC/WAhUEriCWH/UngCUB6sju8V22fLrpJko8zHNMciL\nvaNq56JNUDPz5sA27NEscgzDdqqV20uPfxvnQDc2fz8CWo14Nu7TD9tzUElHEXWG680pEjqz\nM2uB3mw5mlT02RasG+/N00hsBXaahuZt2FnH+FHkaLTmfOWNkPXUbkZebNsx22Re3ghrRRsK\nZ9n2+Hs+EdmWshu7H9Xid2Y5EpvCTquMZEf2aZwD3ZiNTwqazYFuTNfptueQs1DBvXH/Ewg4\nrTGwzW1vaLwx65WBhjarnWQjJOA16OiSfb0xvBAdXhKf4NYEDiLJpcjzWzM7lMDMgW5G5uVh\nXos8LxXXnpfHjmzLQdfnkNewobOf02IvFJ3qnyaI1EKUeweyw3QMbkQ6Bjr+e6FGiwP9EhGd\nSEddfZqw2EvBz5+Uvsr2s0incVDMk8UeaDbyeFEeL59Ehc1kxePnL8jjyTRu31Rbul7Pis2W\ndjApZOm+RX7e7BUnmPVY93h1BLRIU6TzZtawT6F27SskfBzpDOp4m5f5X4ZsxyXIC4+Otnn/\nK6o3b6wMl0EnpuN5FHoaWab6Gzoddeo4fp19rN/WqN5WYuNP6HykI9JNW5nM7PODUHHDYf4e\nNz9E9kXVkwKiX2GTCTkC2R/y8Dg4G22IYoNLwN/0U2hvNE9dM71eHYr8/U9BsZERWJ7dfBJ0\nJFqkLgsdwT2RT9g2QbHmBPSDTkWenz0vee35NfL8OlrzeDfPjUabUfYfewLfpAg7a0/kW/ja\nuuhqZPi+qN7iQNfTeNWrXs/mDUhH62R0DPKGREdiOzQo5pSdC9Bs5Kiqo83roOnI0cyDkabD\nUzi7OpGeYHQ+XVc/Q52YTqv7PYC+jz6BTkFFnu9iXbMORRmy9wJbpHG5OGrXppLQPMzPvrRf\n/4CK/L7IurYsKpxo2+l60XbLL35PrLa0OUhxK7LM09G26L3oOGS5OuOdONHm9y1kvXSYdczP\nqW2fxnIxNBa2MZneiewvbyyPR/fW9FaWndjqJL4PXYzeg1ZB09AvkRf4D6DY4BJ4J03Tybsb\n+Tv4LfJ3dTtaH8VGR8Brueech9GJ6Fg0C8l4axRrTmBLgr2589z2NuR5aSt0NpLlemg0Ng87\nD7UD7YVzGvoo2qFEnY7EkM2Y2Jnk6gVu7obcF2X7AmRHfrUuzh+dYXvUhY3H6k61chccj8I6\nLEN226AfIR3EndESaJDsezTmDrRck0Z5wngCfRjppJ2HPofuQZ5ovLk4FX0c6dDpGLVj5qFD\neW6TxEsRZl46Uh7DpvsO2h9diXQaj0DWybi7ULt2EQnPQJ4Yv4YORPsgHcBPI8tcCRU2nZUZ\nyAuPF6SvoE7tUHawns2cwg0J1zFvxoHgSrOeuyFHhR3Nm4bG2uangO2RffETtCPynNiJzUni\nq9EJaK4mO9ovj6PlmsQlaHAILEJTPokOQPuhjyBv5mPdIaCzth36Mfop8vz2ahRrTsCBB8/z\nezWJdtDiMOQ1QK4jNfd9Dg3lCPSbabgOqQCqtCfxvWDXUwnv7puZJy8vYl7Yt60liANdAzFE\nC3/QjyCdojL7dyJ0Wj3mVytLRPh5yIthO+aoq85qmXmyt7y/o9lliQg/B3kMt+PErVtLuyLL\nMruEiB+URY4w/An2u6Bi3/8iznZOqkgzSFGb0xj7fumSRnmxug5NL4lPcAiEQAh0m8AXydAn\nIHOXZOzAo08i31cS307wQDnQZaDKQDjSsxQ6BOl8/hU1s6uaBU5AmAfD25B39U81lG/d34V0\nGLyAz0KO+sSGi8BKNNebKacWlNkZRPwLuhPdWJaIcNO9uyK+PsqRkFvqAxrW/a39HOlMndQQ\nV7/5LTbegj6M3KfKdKAt87aKRLbhTRXxnUY5Yuvv7+iKHa33x9CG6MKKdIMSZT94Q+ZgRDPz\nxsknD6aLhUAIhMB4EPB8cw7yiWAzc6DpUmS63zRLMGxhnTjQCwFnVaSz+Ylhdb7vAAA/+klE\nQVQ+AXU29Xwn+i5yVK1xJE+n+e3Ii/ap6PsoNpwEdFRjIRACIRACIRACIdBVAjoYDyAfZ/eL\nOfLlo9DiUbjzoZqZUzceQqZTe6LxtJ0ozHIXHM9CU9bzBHyklCkcLx0MmcLxEouxWssUjrEi\nm3xDIARGSiBTOEZKrs39HH2+B01qM30vJHPkfD80A/1TRYX+gbj/QXGgKyANaNT3aNcdaLkm\n7at/idAnGuehVdAu6EDkvj7F+Djy0Ve3XyJ0SsX/om+iD6EfI1+I+RR6LzLuLtSuXURC8/TG\nodE+TcAzaKXGiFFuH8r+1vMDTfJx2obczm0S14tB81Op7dH+6CdoR9TO/HOSvWhzsuYUuBPQ\namh35DSWvdBm6GvI6WTLoU7MfLdGPm1z+s+X0DKoV8y22Ubbapv9HcV6k4DX+G3Rj5Dnm8+i\n16DY4BJYjKY9iPyNNpoDqIehW1GzawfBbZn76mNt1FbqAUu0AO1xusP56GNoGvKk2KjXEdaL\n5gWmla1PgrVaJepy/E7k50GVEegug20zO59UXIBmo53RGmgdNB09hg5G2mTkk4q/ozvRyegy\npAOog/hV1Im5r/v5ZOf76BPoFGT+hr8LaX9FblvOtegK9DQqwhZnvV2bSkIdbvPYBjkty9+v\nbTT/HVG3zZPvrcj6no68MOv8H4ds61+Qjmmv28ZUUHb212/Q8ejemt7KshNbncSPI5nI5iT0\nRyQPtQPqxOxX9zdPBwJ+hczX7U+iibRFKdz2/Q2dh45CVyGPt32Qx0esdwisSVVuQo8g++3X\nyPPdw+j9KDa4BLakaU8hz21vQ6ugrdDZyP5fD43G5mHnoXWgX0vjfcQrgCrtSXysfQJxoNtn\nNVYp5yXjPdAsVBzbN7Je73zszPaT6CzkxcV0OkCXoxuQTukk1IkVjqv5FPk5ClDcoS/P+v3o\nPlSkqU/3DOE6dp2Yo5K/QDrm5qXDdiGahsbKdJJ0nHT8LVPpUOlQ94PzvDL1tM8PQgugwjxu\nfoieQGsXgW0s9ySN+Xlh0smVhw6l59cZ6EzUrmO5MGlvQWegpVBh7v9ZZL7eLE2EWQfbcj1y\ntL3e3sWGF+U96wOzPqEEPDfcg45Fr66rydys7478zU5DscEl8Eaadiqyrz0vec37NVoJjdaG\n2oH2RChQR8F+jvYq0eaEx9onsBNJ5bpg+7sk5RgR8IK/JKq/eFjUQsiL/c5uYHMhLzZFny3B\n+gPIvhyJrcBO05AOWb39BxuXIsvTHB3SuS6cq8NY1+kaiRVtqHcIR5JPp/tMYQdHNvrJjqGy\nZ6GCe2PdnY5xWmNgyfayhD+NCqdW58Sw4kZiKutetJyO0Y59g0QzUHEsNu7zTQLuQHM2RozD\n9nsow7ZMKSlLBrKw/bGJJ+DUJJ9kTCqpitd942ODT8Brkb/LsmNhJASG1oG24Y6yXDwSatmn\nkkAc6Eo8PRH5j9TiMdTo4NZX7idsnFwf0IX1+8hj+4p81iHOm6+lK9IkanQEdDw991U5tNOI\nd6S3zIkl6kXbkbW7XtxqvqLDfkjzqFeEXk6ITnSZLUGETy/WK0swhuG2wbZU2SwiZRKbeAK3\nU4VPVVTj9cR5vnldRZpEhUAZgYFyoDsZkfAE7KNeHxPGQmDYCHgnPhs5WlZmjgJ2cyTNEWJH\nw823zIo4R8NjY0PApxGODhesm5ViXNFfzeLrwzxGZtYHNFk3v3aPJdNV1e0vxD+KlkPjba3q\nZn06aet413/YymvVX7fVgEzEsTRsfZH29jiBThxoR1fOR29HnezX4whSvRBoi8DdpPKiUTUC\nPZV403XLvGG9H5lvmRVxzluMjQ0Bp+44DWHFiuzth6K/KpI9H+UxMqVFIvNr91gyXXEcNMvW\nEWjnSXsDON7Wqm7Wp5O2jnf9h628Vv1V/AYm4lgatr5IeweMwGTaMxM5wXxL5EshizeRozWx\n9glkCkf7rCYqZeMc6MZ66KSMZg60j/4dRS7mOhf5/wcrlzYJL+IPY+XiYqPDZeZAtw/sGJKe\nheao7eInvTz3FTaaOdBFHsVSh1KHvWrKSJHWpdM3HMUtmz7yTeLuQBMx8NE4B3ox6rE2mhdp\n26CnkSOfsYknkDnQE98Hg1yDeWjcc2ijQW5kWdu8UPvmuACqtCfxsfYJxIFun9VEpvQFQh2b\n7Roq4XxAndwr0KSGuFabPtHxd+UUKX9T/r4ORE7d0JZHjkL/EjmKWJjl6Bg9gzYuAttc6qj/\nAuUrHG0CI9nKyL65CPkYuzj/3c76+cg50jqG7dqeJHRke8uGHRyUuB75wvYcDXFlmx4Xt6Az\n0FJ1idz/s+hZpKM6EWYdbMtsZHuL49ylo50eg3uiWG8Q8NyQr3D0Rl8MYi2G2oH+OT3qSEsr\nfXAQe34M27QTeXtBLhtBGsOik3WHBHYlvSNmOjlHI50Dty9AS6NOrHBu/F1tglZF/nauRjOR\nzrO2DroV6YCciI5FOiSOeL8bdWJTSewLbFcgnSrL3AwdjHS0dkTdNp0o66/TdDraFr0XHYf+\njpyjOz/qZbMNZyHr62fnzkb2vQ6gYb9Hc6N2zfz2QTL3qwZHofOQ2yehRVEnZr+aj3X7H/Qr\ndGtt+5MsJ9IOoHD7Xt2MzkE6aUVYp8cwu8bGkMCa5H0T8obRY/HX6E7k+ef9KBYCIyUw1A70\nSKFlv2oCcaCr+fRa7ApUaBfkSPH30NtRp7YGO+gs7dBkx/kIOx/psBU2LysfQj9GP0WfQq9G\nndpF7OBIpSeyRvs0Ac+glRojRrl9KPvrLH2gST4bEiaHc5vE9VKQTx90ILyZ2R75qPsnyBuO\ntZBfS/k66tRWYYfd0UFoL7QZGqk5RcNpHz9E3pR9CTmiOJEmL/v+FGTbbKNttc06arPQE6hx\n6hJBsQkkMImyvdH9EfJ8483+a1AsBEZDIA70aOhl36YEdiL0OZQR6KZ4BjLQi1KV0/h64j0m\nVu9i69clL52ZFSvyvIS4H1TEjyRKB+mCih3/i7i/Iy/avWo3UrF/rajcF4ibjRxZjr1E4GxW\nn0RlXLyR9Jj8CoqFQAgMNoGBcqAdsYiFQAiMPwGd2dMrir2BuLuQ6bpl5nULuq0iQ0enu1mm\nUzMcUT+6okxHJD0XORrdi+aN7apINmVmXy5bU1maYQz3BtBj2ZvBZnYdgd5gbd4sMmEhEAIh\n0KsE4kD3as+kXiEQAiEQAiEQAiEQAj1JIA50T3ZLKjUEBK6gje+oaKdTOJZHpuuWmZfzm1es\nyHAL4rpZpo/vn0Ifqijz08T5GP/3FWkmMupxCv8zkk2Z2Zd311SWZhjDr6fRHstVUzgWIP6c\nYYSTNodACIRACIyOQOZAj45fP+7d6UuE3WpjXiIcGcmd2W0sXiIcWW36Z6+qlwid3jELOYUj\nLxH2T5+mpiEwUgIDNQd6pBCyX3cJxIHuLs9+ye2zVNQvUPwcbYJWRR9EV6OZyBHobttUMnRu\ntaPM+Yxd+3QdQT0L+bKjI9K+HDeaz9ix+9BYPmM3NF2dhoZAJYE40JV4EjkSAnGgR0JtMPZ5\nO824GDmFwRetHkEHoiXRWNkyZPwL5DeMLVOn8EI0DY2V6YAehZ5Glqn+hk5HvmjY67YyFbRv\nHMH3JcyiDbezfj5yFHVtFHs5AfvdG43ZyBH84jh36ZQXj8E9USwEQmDwCcSBHvw+HvcWxoEe\nd+Q9V6BfetCxHc9H2ZZlmc5BHU+bQmGrjGeBXSjrGPJwBFqHUPObuIs/v/bCH/+51Gl121l9\ngcB7WDgPfsoLm69ajKU3GvPWtn0K4k3VsrXtLEIgBAaXQBzowe3bCWtZHOgJQ5+CQ6AlAV+2\ndoTZf1JSZtOIeBZ5IxR7icAhrHrzUWWziNyxKkHiQiAEBoLAQDnQXhhiIRACIRAC5QT8j49O\nM5lRnuT5OEf0x3LqTUXxPRvlyHIVNytufEagJRELgRDoGwJxoPumq1LREAiBCSLg3F2nIaxY\nUf5U4pxLfn9FmmGMcp6zbKrMeNPFQiAEQiAEQqAjApnC0RGugUy8Gq16H+qHF+oGsgNaNKpx\nDnRj8tHMgV6YzD6AWjmajWX2w3bjHOjGOmcO9AvvA0xpBNOw7WCX7ytkilADmGz2FYGBmsLR\nV+QHuLJxoAe4c1s07VTi/SJB/dcJnmJ7yxb7JXp8CaxMcX6F4yBU/9KlL8P9EI3kKxwfZ79n\nUH3fO4p9KBoUm4OG+BWO65E3ifX2LjYc3d+zPnBI1r1RPh35JZrnanqa5VFIZoX5oupP0UPI\ndB4rl6KcH4AQ6zsCcaD7rst6v8JxoHu/j8aihs799ILo9IAj0e7oSmSY2h7FeofAxlTlTvQA\n+g06Ht1b01tZdmLfInHRz34abzfkKHbhUP+B9UGxRWnISUhn8Tykk3gV8qXLfVC9w8jmwJuj\nyH9B3iwdh96LtkU61B4TtyKZLFtbv5blh9CqaCP0EyS7f0GxEOgnAnGg+6m3+qSucaD7pKO6\nWM1vk5cXS0fmGm0yAcZ5gY31FgFHDrdH+yMdmR2RUzA6sUkktn91gsyv0XTKjd+uMaLPtzej\n/nuhg5A3i6ugYbTzaLR9v2GTxjuVx773KcQp6GJU/8SDzefNY8PzwzovbOZvCPQFgTjQfdFN\n/VXJOND91V/dqK2jzlUO8h7E+8jWkcrYYBE4keboJDk/uJk5+mi8I92xwSLgzZO/+/+qaNYF\nxHl+8Pdf5SCfRvwvUCwE+oXAQDnQw/bobLwOMv/Jgo8mPVjasZVJ5OPhhdDj7eyQNH1PQAfJ\nx7hLVbTENDegNSrSJKr/CNxDle33OSuq7nnA+dVzV6RJVP8RcBReB3kT5OhyM/ssgT9Frc4P\nXybNx1CVk010LAR6hoA+0dNIf+eSnqnVCCtSdQIfYZbZLQRCIARCIARCIARCIARCIATGlkCm\ncIwt317MPVM4erFXxqdOmcIxPpx7sZRM4ejFXkmdxovAQE3hGC9oKaeaQBzoaj6DGJuXCMt7\ndRWijkHXoD+g7yOnM4ylOZ3NeeeXIb964BcxxurRuE6U03N8kexT6Cb0ILoD7YsG9SXCz9E2\nvzjii7Onoy1Qo9nPft3EaS5OYbgSbYoGyc6lMfb95uiT6AC0H/oI+jDy2DgU5SVCIMQGikAc\n6IHqzt5oTBzo3uiH8a7FDAr0Yulo9JFod6TDYJjaHg2b+XUL2+4nz25HOlJuP4W2RGNhfg3h\nMWQ59yPLdZ6e20ejsbBvkan5K18qs306VUWYTvyg2GQaUvSj3zP2uH8C2VbnQRbv4uzAuiwM\nl0fRJ26fgwbF/IzdI8h2+du/GHnj9gwy7C4kk2XRrchj4UNoVbQRymfsgBDrSwJxoPuy23q7\n0nGge7t/xrJ2p5K5F031XG05ls4iRfSseQMhh5OQo7SFrcjKbKSDuUoR2KXl4uSjs+wI8Fp1\neerAHIaszwGo21bcPBUOY9H3xbFgnQrHsttlj2d+tsGR5GbH9HTCbe+5aM3auuk2QIX5EqXf\njDbdWN3MFGWN13I9CrKdtyFvFO17ZZ/rMHssTkGax6cvFHrjURwjl7I+VjeTZB0LgTEjEAd6\nzNAOb8ZxoIe374uWr8bK+9D8RcAQLnUqHIFvZo7aGa/z0E07mcx0zJctyfT0Wnw3+8V/uqJD\neGKtTL8j/QE0tba9LUvjj6lt9/Nir1pb/OpEM/sBgbZ1Vm25VLNEdfGDcFPhDUP9zYA3hVOQ\nNie6AB3uRp3NxfoyyN9BLAT6lUAc6H7tuR6udxzoHu6cVG1cCGxBKY6wbVZR2rHEOUrXTfNR\nug5LmU0mQgfvs2UJRhB+YS3Pql0fI/LhqgR9EncT9by9RV2LqSvXVaQrjo9+/+97r6aNHk8b\nVrTVGyiPy1gIDBqBgXKgvduNhUAIhMBEE3AEXgfal8zK7HoiJpVFjjDckeVbKva9kzjrtVJF\nmk6jHEl06kaV6Tx3c9S7qqyxjNNhnN2igMdr8TdXpDuDOPuhfppNRfKejbLvHUWfUVFD4xZB\nzf4DYcVuiQqBEBhPAnGgx5N2ygqBECgjcCMROhabliUgfHXknNFumi9xVTnHjkBbryonu9P6\n+EKdj+SrTMfTuvW7eSOwXItGFNMSVq5I5wi0/XBNRZp+iLqXSnojMLWissb9FT1RkSZRIRAC\nIRACEMgUjhwGIfDCHOfxngPtC4tOISjmQC/E+tKoGFwYjznQvihn+cWIs4/wRzMH2jnV9W1g\nc8QmB/Myz5HYXuxkWzIH+iV657JaPwf6pZgXjjun+BxeH8i6N1yOvi/ZED7STUe3HQ1vdSPn\nTetGyJuXWAiMlsBATeEYLYzs3x0CcaC7wzG59DeBifoKx1NgexQ5uunooPJLCE4Z0fkby69w\n3Er+TmGwTB35G5DTO55GnTot/8Q+3oAUbfDrF/uiRVCn5j7uax5FfleybhmdmG0wDxlv2bDj\ndLbley5as7Zuug1QYd5cXIVMV+Z0Fmn7ZVl8hWNvKqxDUdhCrByKHkRTkObTkT8hjwn7QQ4e\nq/+GRmLT2EkH3XzMz5HuXyCd6XqzT4oyi3JnErZUfaKsh0CHBOJAdwgsyVsTiAPdmlFSDAeB\n/WmmF3enatyOiu8HN3PAiO6K/ZRcLFP5ubBZyPLd9mWubo36kdWL5sieDrNl6Kj40mCxbdiX\nUSc2ncTPoB8gHVDnlO+AbkbXodegds207nMTMg/zMk/ztgzL6sQmk7jox3wH+gVy72RxP7ob\nHYd+i3ScPebXR9raSN5PIn8X7uO14mrkMXIC6sR2JLHH2MFoM7Qq2gZdge5CU5H2F2T+M9C/\nop3Rpcgw918exUJgJATiQI+EWvapJBAHuhJPIoeMwCq09xjkiPAf0PfRvGgsTMdQB/b9aA90\nOboW6ZxsXNvu1FFht0pzWoROkPnq1OioPojuQPuir6HH0XKoHXsTiWzDVk0SL0KYZR3VJK4s\nyLSO+rpvo1mGZVlmp/Y5drgIObLv1JgtUKPZz8cjHW4duSvRpmgQTb6fRAeg/dBH0HyosHtZ\n+StavAioW5peh3a7urCqVUeydcY/3STRPISdgewbHXnz3Qc1mn1unPWKhcBICHisPYecFhQL\nga4QiAPdFYzJJAQ6JvBL9tBpKLMNifCEP7kswQjCN2cfnZmlS/adg3BHgKeXxDcGH0uANxxl\n9mYidHrLyqvfzzSmdZ8ysyzLjI0dgbeQtcddlYN8P/E3tlmFH5Lukoq0KxKnc/w3dF9FupNr\n6ZatSJOoECgjMFAO9JxlrUx4CIRACAwBgXVpo6NvZfZ7IhwF/D9lCUYQbpl/QmUjeTpOZyLT\ntWOmc0S3zC4gQof9jWUJ6sJNY1r3KTPLarduZXkkvJrAu4nWof1VRTJHjNu9sfP4rTrObyP+\nVuRLhWehMvPpiDd4O5QlSHgIDAuBONDD0tNpZwiEQAiEQAiEQAiEQFcIxIHuCsZkEgIh0KcE\nfIGq2VzcojlO4XCuqnNxu2WW+QZUNqXCEb63I9O1Y6Z7R0XCNxHno9OrKtIUUaYxrfuUmWW1\nW7eyPBJeTeAkor0+V03hcG74ndXZvBjr8Vt1nK9I/D8gp+947JWZ7yP4hOS/yhIkPARCIATG\nk0DmQI8n7ZQ1UQT8BJaPkZ1j6Qtiv0OrokZbhQDn2V6Dxuslwvc1VoLthdDl6IQmca2CdG50\nWmznPeh4NC/SdIx8sc98d0Q3oQfRHWhfNNKXCN/Nvt9B1tkXIS3TGwDLOgq1a6bVkV6kyQ5b\nEaaTVeVgN9nt+aDP8ddpB1UvES5M/F3oWWQ5vkz5WTTWtjUFOHXBul2A7JeR2tzs+H5kX/4M\n2e4lUKfmFB+nD30I+Vt4EM1Gh6OxfonwB5Rh/a9ATjfymNCZ/19UNvWIqFHbOuSwJzqotnS7\n32w9KvxNZBumozeg2AsE5mHhDdhGARIC3SIQB7pbJJNPrxLYg4p58VVPIh2jYvsw1gvbnxXD\nfZnpdqTz6fZTaEs0FrYrmVrej5AO52roo+gG9Ge0JOrEziFx0bbHWLfubusQmq+2OtJJLMJN\nV2wb9mXUif2CxEWZOlqzkG0yzE/HvQa1a6b1JUYde+e6ymMDpFP1DJqOOrHJJC76seozdv9B\nuqINjcsHOimwg7Te1FxdK9c+mIEerm17/HXa97LSCX8UnYyOQebzV/Qh1In5Gbt6Dv5uij41\n3JuRTsybAo+xg9FmyJvXbZBOsjctU5H2CCrKtd6y99g1zOXyqNtmPxyCLOMSpMPu0u1DkfG9\nbvNRwSOQjBwcsA2XItugMz0JDbvFgR72I2AM2h8HegygJsueIbAtNfEi4oW5uEhbuVcjL9zG\nTUe719ZPYll/sVmR7dnIi/8qaCzs3WTqyO1zNemE7oesYyd2NIltjyO4c9ftqANaONJrsq6j\nZrpbkTcTlmv7dNq9AD+N5kDt2LIk0rHV2dF5K9rg6Lf5WY7Obye2CIn3ReZR5Hcl6/+EOjHb\nYB7NboDsc+t2Lnpvbd3tf0aF6TjJx/CZqNum8yjvLzVk/AG2Zerx2a4tQULT/xa9pm4nX8zb\nBdm/76gLb7V6IQlst864dbQf3H4CmZdhS6FObBqJzbfIz2PmF2gZpK2FzFtn3bKKvi/KddnI\niqBR2yHkMAv5O6k3t2V6aH1gj64fSb1uR+s21G8Ttr2B/HlD+DBuxoEexl4f4zbHgR5jwMl+\nQgl4kXbkrN6hrK/QY2zorOhk6aQ1swUJNN4RnbG0hch8aTTnCArRWdTBKHO6dHaMv7u2PJGl\nJhed4PndwLZFpnP0sh07k0TyK0ZLF2a9vg3nsS1/HblOTQ7mZZ4jsb3YybboRDQzHXvjrZ9L\nR+abWREv427Z5mRkmbuWZLh1Lb5dh/HfSX8d0kloZj8m8PpmEU3CimPlmlrcJJY6t0Ufr8m6\ndS/7vRBVaQsQq9PceEx44/c4Ko5F+2MjVHC/thbPomu2DjnZlg1LctygFv9/SuJ7Idg6elNi\nW5rZZgTaxjWaRQ5RWBzoIers8WpqHOjxIp1yJoKAF46TKwremzjTONrlhabMjiXCkdletX+h\nYrZhi4oK6kB5obW9VeZNxcNVCeriTHtm3Xbj6ioEWN72jRHjsH0TZTgqV2WOeFq/JysS7Uac\nbE+oSNNp1G/YwZuyKrufyCuqEtTF2dYv1G03rk4lwDbYH63sQBLIZIWKhLOJ88apm+aNyhEV\nGW5FnG0oc3Yrdi2N2oOY35fGvhBxCYs9W6SZyGjPYee1qIA3O19vkWbQo+ehgR4/3pT1vY1k\nlKXvG50GhEAIjBuB5SnJ0avLK0r8n1oaT6wXVaTT+XQkrlfNEULbcEZFBXWy5KETXWU6z8Uo\nYFU645x7ab5lVsStWpZgDMNfTd46elXmiKf20AuLpn/3IVS2ZSPUTXdqEbgc8Y+0SHMv8Uu0\nSFNEL8vKjGKjyXImYbbBdK1s5VqCqpsPn3Q0jiC3yrdVvPldW5HoglrcGhVpOo2yH6q4md9t\nyHS9aq363nrbxnb6vlfbmHo1EIgD3QAkmyEQAl0l4EVep2H9ily3rKXRsdy0Ip3OkyNkvWo+\nbrcNW1RUcBXi5NHK8dHxrBqRrS/CUVTzLbMi7s9lCcYw3BuBVo7PgrXyF6uox27EybbdKRAV\nWb0YNZu1RV/car6yNMHO4W7H7ibR1IqEU4izDaZrZTfXEqxQkdCb01Y3YhW7N40yP6eHlNmb\nahHXlSUYQbj9UMXNLFdEputVa9X31ts2ttP3vdrG1CsEepJApnD0ZLekUl0i0E9zoEfTZJ0j\nH7vPKsmkmNfqRdR0J5ak27YWf0xJfGOw0zeeQUs2RtS2z2PpjUcrp72WvKuLvcjNtm5Sy1Un\neW00b227bA70a4n3hkmmmvU3n2LbsNHa5mRgnruWZDTaOdCTybe+DT9mu90bgOJYKeZAO9i1\nDCpuNkY7B5qsmtpVhPpEoOzph6PTxnfT1iEz+6FsWsgGtXjT9apZd28+yuq4GXG2sZsj92TX\ndzYPNXYAYaO+q3kq3LME4kD3bNekYl0gUDiEj5CXozCFOcrqCLUXlulo99r6SSwnocKK0Sfn\nyq5SBPbo8mjqZXt0ROauq6NOwFPIOJ2fGbX1w1nWm+cCL8RPo3adRR8L60D/BdVPcXD/o5Bl\n6qhOhFkH62X9vJGyLl5AXT5QW57L8r21dcPlZBolC/vd8Jmo2+b8Zsv4UkPGH2DbOnt8tmtO\n9TD9behJVN+GGWzbjnegdu1CEtruO5HTW8zP7RuReVlvHe1umtOQzNsyX1eXsTc8pyPLb2RV\nl2zEq4ew5yzk76Te3JbpofWBPbp+JPW6A63bUD9vHvMVjhegxIFuODiyOXoCXjQ9ORajC6PP\nMTmEQG8R2IPqePFVOheOYhXbh7Fe2P6sGO6I4+3IC4/bOlVO9egHO4dKFm17jPXCcdbh+Wit\nATqWOgamM/xRVIyymr7eEWazpW1GioLpfazLTgfQ/A9DE2n/QeEFjydYt0+Luhn+bqTdjYp0\njUsZTTZRl03H8GpkefbVDPRwbVuGS6JOzBFj89IJ/SM6H9m3htmvS6N2zRuj4thxf/u3ntvP\n282ow3TezHgDZ5n2lU5hcWx+n/WxMPvhEGSZlyBv/Fy6rfNsfK/bfFTwCOSx+jtkGy5FtuEg\nNAkNu8WBHqAjYAXasgV6Iyp7ZDUezY0DPR6UU8ZEE3C07Aykg+eopBeZVVGjrULAMUhn5A/I\ni3Y/XECp5ou2KWu+dW87dUKOR83a8M+E34QeRDoq+6KR2lzs+B0kMx+1W6YjihNpPtLWgTgF\nfQ5dhK5HjmZuhWYhneqvI9NNR95Y6IDqiOg0fgPpSMpprMzpGmch63YB2hF1at9kB9vwL+j9\nyL78GbLd6yOdUvulXZPZxci8/C14jMxGh6PtkHzKpgwQNSrzemj9r0B/QkehFdFYm+3ZE+lw\nuhyr9pH1mNl65OyxYBscOHgDir1AYB4Wz6GNAqT3CXyaKvrDb3SOvahcjuzIQo467Iq8CI23\nxYEeb+IpLwRCYDwInE0hPnGYo6SwNQjX6XwE3VKSxuDdkemmoF41b5Z0wMvsO0TYhmXLEtSF\n/wPrXpuqHMjTiP9F3T5ZDYFeJxAHutd7qK5+h7DuSWjRurDJrOssG64TfSDSyXbUwzDvusfb\n4kCPN/GUFwIhMB4E7qaQK1sU5NQJR1N/WpHO0Xudz7GYf1tRbEdRtuEHFXssRpzXGM/3rWxb\nEvikpsq+TKTTRGIh0C8EBsqBnrtfqHexnvuQlw71F9ABdfkuwPrByJPSqcjHebEQCIEQCIEQ\n6CYBbwRiIRACIdDTBJqNQM+gxpeW1NqpHj6G+25J/FgFZwR6rMgm3xAIgYkkkCkcL9HPFI6X\nWGRtOAlkBLrP+30R6u9JvZk5V+9GtGazyISFQAiEQJcJrEJ+26AVkDfvzmu9EA2K7UJDfBHt\nZOTTv3eiJdDt6LfIl0qfQsbthXZDf0abIgc0bkAXo+nIOdIzUa+aU1D+DX0FLYM2R049cV60\nTze/Wlt3WovmtcipGm9ETv+4DB2P5HEr8kmoee6A3o08VvwU4LnIp6hvR+uhsbBJZPo+5Mte\nOj3XomPQg2gktjE7fR35IuKjyL63z2MhEAI9SqDZCLQn7LIR6MWJexodNM7tyQj0OANPcSEw\nwQR8qU4H4lnkPNaj0HnIz4WdhHSQBsV+QkOctqBuRuege2rbhukcan9AbsvkKnQB0mE0zPPy\nZNTrdhMVtL7qYeQ8Zp1jt59BSyPtneh+pDN9HNKh1Dn1xmJ9pC2LTOP+s5E3Ib9H8jG/6Wgs\nzAEk2/EI8lj8NboT2Z73o07tFHawvt4YzETeKLptfr5EGhseAt6MPYc2Gp4m929LD6l11p9Z\nHokcGdgTeULaGtXb69g4Gtm5H66PGIf1ONDjADlFhEAPEdiTuuhAbNlQp9XYdsTyTKST3e9m\nG2zLLPQQ0nHyHOtSp/BRtCd6NZqJbkNPINMoz9UzkU5j4Wiz2pO2CrWyno8hncX6NjzAtm3e\nHTlqbPzeSIeisIVYORTpSE9BOyJvHM5CsjM/87gSOSJ8DZoPddOWIbN70LHIPinM96Wsuzd4\n01C7dhQJrfP+DTtsyLZ9/zjySUNsOAh4vHscx4Hug/7ehjqegDwpFyezYnlHXf23Yt0Tg3G/\nQ+N94YoDDfRYCAwJgWVpp46R56dmNpVAp5M13uQ3S9vrYe+ptWVKraKLsVwbzVvbloEsfoQc\n9SwcwteyvjoqzsXfY/3Wum1We86cgqFjvGCtZpNZ1rdBx9f4c9HRqJnNSeAF6JfIkVoHfTQ/\nr6pzW+Stc3sv+gLqpuno/hFNKsn057X4kuiXBS/Jls7zMS8LfWljJVa9QTripaCsDTiBONB9\n2sGLUu83oy+hQ9FhqDAvVH9FB6EFisBRLpdj/yltalfS6bwXJ0dWYyEQAgNKYEfadVeLtul0\nHNIiTT9E24YyB6qo/yxWnCKwSxHQZOn51HPkWk3ieiXIG4FjKyqzGXG2QafSEdgyc170Y8j8\nqq4J/068o9PdtNvJ7FMVGb6eONvwuoo0RdQerNjWhYuAJsurCLu3SXiCBpPAQDnQPpYZFnM+\n1/k1NbbZR4yLI0ehu2HeWd88goy8G4+FQAgMNoFlad7MFk2cQfzaLdL0Q7RtvbpFRW3rOshl\nmc0m4hlkfk5d6EVz1NbpN2V2ERHPIUfVq9pqnI6zNxZOcSiz24jYqixyhOHyraqbZWre0NQ/\nxX0+sOHPVLa9pjpVo8wsa+WyyISHQC8TGCYHuqoffFzaTbuFzF6LvNtqx7x4ONXEu/VYCITA\nYBO4m+ZNadFEnQ/T9bvZBttSZcY/iKrS6bB5Pu1lJjqLTtkos02JmAM9h2xr2circTrOToHQ\nkS5zolckzhuLblqr/rJMrZ1ydY69qXAEusyJtq2OtsdCIARCYEQENmIvT6rtOtwjKiQ7hUAI\n9AQBR/meRs7/bWY6FYM6B7qxvTKQxY/QTaiYA83qy+x7bN2K5nhZaG9tNM6Bbqxd2RzoJUi4\nWC3xnCwvRL9E9XOga9EvLgZhDvQqtGY0c6C9uXBeuPPDY/1BQB9HX0efJxYCXSHgwRQHuiso\nk0kI9AWBPanlw2jLhtquxvYgfoXDNtm2ensXGzLYE+kQzkSnIB3KwnQofW/lWfTuIrBHlzqE\n1nM2KkZqraqjsCchnzDujv5/e3cCLEtZn2GcXUB2ZN93EBAkLAoEruwqgaJAiUVEBCUgJUqi\nJRgJBA1cQ1xIoCgUiQUKodjDGgUuQi77JoKsisi+iEGQwGXL83K7oWnOnO3O0jPz/KveM71N\nf92/njPnm56eORuTfJjwKpJrv/Pcn+Sdy2tJzsavTPYleXGxN6lW3t3M5SC5lKXVC47q8hMZ\nTof0CXIWyTEpK+9WZ9tzln0KGW+dzoLZ73Z+C8d2rC9OWW/cniMnkZyxt5otMA+bl2M2EB3o\nJr+ab8fD4POsZKFJrCi/nNdN4n6TvUseTGnzPWTGZFfi/RRQoG8E8tx7DPkKSUfobrIsydv8\nl5K/IekYDEItzE78hOxEppPHSC51WI/8KzmM5I/qGuRcsgr5BXmBbErSoT6InEqaXnlBdB5J\nR+Ep8jLJcc1Z0uPJwSTzricbkOzjDSQd1HywMH8D/pt8nMTky2QqeYjcShYjW5PbyO4klu2u\nHJcch6XI1STvhuRvVC7F2I+cQyZSeVEUl/xtS+d8AZL9yAf3tyB3kfHWASwYxx+SPKaeIRuS\nPIZyFj+/P3lRYjVTII/9/E5sTrrZx+qIRp7EB7nyJJNfronWkdzhnyZ6p1lYPk9O1xI70LOA\n6F0V6EOBNdnmPchKJJ2By8g1ZBAr30KxE3kfSYfwbHIfqVY6mruQLDsvyQuLM0k6o/1SeR7/\nJtmGZDhn3w8n5b7mb8v+ZFuSjkT+RuVShhtJlrmSpOP8I5JagXyC5LGSTuc0ksdJOtidqpw1\n343kb9M85E6S4/AsmUxlP9PJXZU8T84nU8lEKi+67iCfIz8m1cpjJSZxjKvVTIE8luxAN/PY\nvGurlmZKXknnSeACcgoZT93LQkm3Ktt3LbED3S1x21FAAQW6L5AXCE+Qr5OcRR2p0vnOi4ic\nobbeFsiZ5/XIlLcnvWNoHcbyYmV9kg6/1TyBgepAN4+3/VuUTun15GXywfavvi1rTAc6ZxPy\n4LIUUEABBQZTYBV2K8/1K42ye7kMIdf35iyw9bbAdQzmhcdo9Xtm7j3aAs7rqUD6OHn8p8/T\n9zVH3+/B2DuQjvN+xWL/PvbiLqGAAgoooIACCiigQGuBYehAZ+/zIYW8cl2I5O0dSwEFFFBA\ngW4L5AxprnXfYZSGd2RePliab7yw3ha4hcHR3HIJR64Xv/XtuzikgAKDLuAlHIN+hN0/BRRQ\nYKbAkdw8TlacOfqOn7nuOR+yK981fcfMIR/JhwhfJfuM4JAPEV5FrhhhnpOaIzBQl3A0h3W4\nt8QO9HAff/deAQWGRyCdiJ+TJ8nBJB+Myzdx5F3SfMvGaWR2Yr1b4AAmpRN9ItmCrEX2JLeT\nfLNLzkBbzRWwA93cY9O3W2YHum8PnRuugAIKTFggHxBMh/lhkg9VJfeTA4mdZxBGqe2YN53k\ng5Zxe46cRJYgVrMF7EA3+/j05dbZge7Lw+ZGK6CAArMskO/FXnSW1zJ8K/BfefffMR+oDnT+\n+5GlgAIKKKCAAr0RyIcKrYkL/Jm7JJYCPREYlm/h6AmujSqggAIKKKCAAgoMnoAd6ME7pu6R\nAgoooIACCiigQAcF7EB3ENdVK6CAAgpMSuAvuddexA/UTYrPOymggALDIeCHCIfjOLuXCigw\nusBvmF1+u0K+YSHDL5ONiaWAAv0tMFAfIvQMdH8/GN16BRRQYFAEXmJHViEzyHnkePIUyVe+\n3Ug+QiwFFFBAAQXeEvAM9FsUDiigwBAK3MA+52xzbuu1ExMyL/9Aw1JAgf4VGKgz0P17GAZr\ny+1AD9bxdG8UUGBiAukgvzbKXW5mXpZJZ9pSQIH+FBioDrSXcPTng9CtVkABBQZN4NFRdij/\nfS6V/95nKaCAAj0XsAPd80PgBiiggAIKKKCAAgr0k4Ad6H46Wm6rAgooMLgCy42ya5cX844e\nZRlnKaCAAl0TsAPdNWobUkABBRRoIXAT0/Odz60+RLgR83IN9GXEUkABBXouMFfPt8ANUEAB\nBRQYdoHNAMjX2G1S3F7Cba6J/gRZkqS2n3njTwUUUEABBWYK+C0cPhIUUECB2WbzH6n4KFBg\ncAUG6ls4PAM9uA9U90wBBRToN4HVig3Ov/JekZxO8h8JLQUUUKBRAnagG3U43BgFFFBAAQSu\nUUEBBRRosoAfImzy0XHbFFBAAQUUUEABBRon4BnoZh2SXB80LJVP3Pv4G5aj7X4qoIACCvSb\nQP47aL79pl01UH0cOzDteljM2npeKe7+/KytxnsroIACCiiggAKNFpjR6K0b58blLKDVDIGN\n2Yy5m7EpXdmKC2nlPHJjV1qzkVYC/8aMk8kdrRZwescF8jx8EjmW3N/x1myglcB8zDiOHEUe\nabWQ0zsusBgtTCWHkmc73poNtBLIPzY6guxI2nlyL53nW4ilgAKTFMgfqL0meV/v1j6BPDHu\n3L7VuaZJCOSzKPmmia0mcV/v0j6BRVhVjsMG7Vula5qEwErcJ8dh5Unc17u0T+ADrCrHYdH2\nrXKw1uSHCAfreLo3CiiggAIKKKCAAh0WsAPdYWBXr4ACCiiggAIKKDBYAnagB+t4ujcKKKCA\nAgoooIACHRawA91hYFevgAIKKKCAAgooMFgCdqAH63i6NwoooIACCiiggAIdFrAD3WFgV6+A\nAgoooIACCigwWAJ2oAfreLo3CiiggAIKKKCAAh0WsAPdYWBXr4ACCiiggAIKKDBYAnagB+t4\nujcKKKCAAgoooIACHRawA91hYFffUiD/zjOxeiuQY/BKbzdh6FvPf/t6lfj70NuHQo5BjoXH\nobfHoXw+Km97uzXD23p+D8rnpuFVcM8VaKDASmzTXA3crmHbpFXYYV9I9/6or8YmzN77zRj6\nLVh96AWaAeBx8Dg0Q8CtUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEF\nFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEAB\nBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBA\nAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQQAEFFFBAAQUUUEABBRRQ\nQAEFFFBAgSYLzN7kjXPbBlJgfvZqfbISeZTcSZ4jVncFFqS5jcii5AbyOLF6K7AszW9GfkGe\n7e2mDFXrK7K3rf4W5jnq1aHS6O3Ozk3z+fuwKnmQ3EZeJ1bnBRajiYXHaOZF5j85xjLOVkCB\nDgjszTrzy/dGJX9i+GBidU/gUzT1NKkeh2sZX7J7m2BLNYE5Gc8xyDH5cG2eo50TyGO++ntQ\nH16zc0275prAzoz/kVSPwc2Mr1FbztHOCHyH1VbtRxq+pDNN9+da5+rPzXar+1Bge7b5x+Qh\n8nVyIdmGfIEcR/LEeRqxOiuwFauP84Mkx+E6sjs5lEwn65GXidVdgX+gOTvO3TVPaxsWTV7O\nbd4Nq1eel6zOC/wVTVxA7iL7kt+R/cnnybkk75a9QqzOCVzNqlu9E7ML81Yj/9O55l2zAgq0\nEpjGjLyi3aG2wCbF9DxxWp0XuIgmchw+XmvqP4rpeaFjdVdgU5pL5+ApkmNjRxqELtXXaCfm\nW3epPZsZWeAmJufdyDVqs89kPMdnSm26o90TKF+85AVOqw5297bGlhQYMoE52N8bSTrJeau6\nXvcwIdcZjjSvvqzjsyaQMzrfJvUnwk8zLX+ovJwGhC7We2nrfnINOZbkGHyIWN0ROINmco1t\nPhNg9UYgL17yuM+7YPVagQnbEi8vq8t0Z3wemrmDPEMW706TtqKAAuMVmJcFnyMPjPcOLtd2\ngXSm8zZp/oit2/a1u8LRBH7AzJx5W4VMJXagQehi3U1beQGfzsGnyCFkRzIfsboj8Hc0k8d9\nznSm8kG2LcgSGbF6KnA0refYfLanW2HjCigwosARTM0vaM6KWt0VeD/NHUVuJa+RrxCrewK7\n0lQe+/sWTdqB7p59Wpqf5HH/BMmLmByLMvcxnEtrrM4LfJcm4p4XkflsTI5JeRzOYdgznyD0\noFanzbwznHeOc5LFUkCBBgl8km3Jk2X+WHnGp/sHJmc/yz9UuYxg/e5vwtC2uDR7/jQ5vyJg\nB7qC0YXBXCqTx38+NPtVsg7Ji8qcdUvH4UmyGLE6K3Amq89xyAv5X5L9yJ4kvxuZPp3YgQOh\ny/Vt2ov/QV1u1+YUUGAMgX2YP4Pk7E/+cFndF1ieJpci+5NfkXyQLcNW5wUuoYl00KpvU9uB\n7rx7tYVcV/vXJJcL1KvsPHyrPsPxtgtcyhrTUfs1mbe29quLeelQW90TmJum8vyUd2b8fED3\n3G1JgTEF/pEl8oT5W7LmmEu7QDcEcu1zjkk60lZnBXJGJ9bpFOQygjLfKaZPKaZ51g2IHlX5\n+3Bxj9ofpmZPYWfz+zDSmc4vFPO+P0wgDdjX3Qv3ExqwLW6CAgogkA7BcSRPljeSnP20miNw\nPZuSY7NiczZpILfkysI51qNlrYHc+/7YqZydzrHJt6NYnRXI5zBivccIzeQES+b9dIR5Tuqc\nwGWsOu55IWm1EPAfqbSAcXLbBeZgjT8i+5Bc27YXeZFY3RNYgKZuJ78n24zQ7OvFtBdGmOek\n9gmcx6ruHGF1uZQg30RwFsmlTf4TDxA6WPnGjQPIkSRfZ1ettYuRe6sTHe6IwN3FWvPYP7vW\nwjLF+E216Y52TmBOVj2F5Jux7iKWAgr0WOBA2s8r2nxdWn5Brd4I3EKz+eDmB2vNf7iYfltt\nuqPdE5hKU/kdyYfbrM4LlG9T58VM9XKZDJdn4Lbq/GYMfQvzIJAX9Y+S5WoaeTGZ34m/qE13\ntHMC+faNmOeFvqWAAj0WWJz2czYtv5RXkJyBHik5Q2p1VmBLVv8KeYrkg1Lbkq+S50i+jaDe\nsWaS1SUBO9Bdgi6ayQv58nKaaQx/muxGfkbyXPVDYnVH4DM0k3fA8kHCvCuwA8llGzkOxxKr\newK70FTcv9m9Jm1JAQVaCezKjPxCjpVFW63A6W0V2I613UOqx+M6xjdoayuubKICdqAnKjbr\ny+c550SSr60rfx/yX9fyotLqrsDHaO4hUh6Hxxj+F1J9d4BRq8MCh7L+HIN8yNlSQAEFFBhB\nIG+XbkIWGWGekxQYJoF52dl8D/rKw7TTDd3XpdmutRu6bW6WAgoooIACCiiggAIKKKCAAgoo\noIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIK\nKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIAC\nCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCA\nAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiig\ngAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoo\noIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIK\nKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIAC\nCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACYwnMyQKnkjnG\nWtD5CiiggAIKKKCAAgoMs8D87Pwh5L/IG+QUsjWZnYyn5mah3cimlYUXLKZtUJnWicHNi3bS\n+bcUUEABBRRQQAEFFOi4QDq6d5N0nB8pbp8obq/gdi4yVi3KArn/OZUF1y2mnVCZ1onBy4p2\n5uvEyl2nAgooMFEB38KbqJjLK6CAAv0nMJVNXpscU9xmD9Yi55JtyEFkMvUCd7qY3DmZO3sf\nBRRQQAEFFFBAAQWaKnAvG/YcyWUcOducM8m5HGJD8iw5noxVI52BHus+7ZrvGeh2SboeBRRo\ni8B43rZrS0OuRAEFFBhwgSns3/vI2WQTsi3Jc+w0Mp2kctZ3J7ICuZmcSdKZLWsKA0uRTM/9\ntyJ/JDnLez8ZqVZj4kfJMuRacgnZhbxSDHMz20Lk/8hLpPrO4+2ML0ZGqjWZ+DGyCLmS/IrU\nK/N2JfeQGyozsy17kGzbU+Qukn14lZQ1hYGJ7mt5X28VUEABBRRQQAEFBkAgl0M8TA4n6RTP\nKG4zfCDJB/BeJtXpZzBerazjGfI9kvvlzHE60Bk+idTrRCZkXjrL6ahmOJ3v35DrSVlnMZB5\n+5F8GDDDc5JWdQIzsky29eli+OTidqxroLdjuXTUc//sS/Y5wzeR5UhZE9lXz0CXat4qoIAC\nCiiggAIDJJAO4evkebIjSUd1B5JLJ9KJfJZ8keSs7crkPpKO5TqkrKwj0/5Atiwm5iz2D0im\n719My83fkkw7lbyXpLYgj5FMr54R3oDxrDPTpxW3K3M7Un2OiVnuNJJLPlLbkvL+57w5ZeaP\ndbnJsulwl/VbBtLpfn8xYQFu/5lkuVyLXdZE9tUOdKnmrQIKKKCAAgooMEACZYfwoNo+XcR4\nOo9H1aZ/o5ieM9Nlles4uJxQ3L6H20fIo5XpTzL8EMm8an2SkbRX7UBn/nrkTFKeHc4yt5Ep\npFoPM/IEma86keFsU+4zWgd6Xua/Rq4i1a/HyzYeRj5KyprIvtqBLtW8VUCBRghUr4VrxAa5\nEQoooECfC9xS2/7y2uEba9MfL8YXrE3P6Om1aTmD/TOyLFmSLF/c5nrnzKtWOqbpxNbrTibs\nSVYoZmS5dKpzfXOuV04tTrLutJVrpquVzvdYlc75dLI1uZYcQtYh2cZjyKWkXmPta315xxVQ\nQIGeC9iB7vkhcAMUUGDABHJWuFplZ/Z/qxMZLqfXJs/2Zybk2uF65Qx0an2SSzJS5bSZYzN/\nvspNziC3qlxTncqZ6nR0U9+fefPmujNYPdNdzHrzGut6Z72cV71NZ3wa+RD5Lvk1yWUdR5J5\nSLXGs6/V5R1WQAEFGiFgB7oRh8GNUECBARKYMYv7Mjf3r17+UK5uoWIgneMXiuFW36CxcHmn\n4nYlblevTctozhLfTPLhvuQPJFVeUz1zbObPbNN4/mbkw4zbkLXIl0kuv1iGHEEuJNUaz75W\nl3dYAQUUaITAeJ4MG7GhboQCCigwJAI5S5sOb73WZsKL5J4imV+eic5wWasxsEA5wm06zr8j\np5CR6vVi4ivc5mxxLt1IW/XKNqXDO1ql470lSef5PnIcyXXPuSwkZ7V3ILkMpazx7Gu5rLcK\nKKBAYwTsQDfmULghCiigwFsCOXNbrXSU0/m8huTSjydJrmHOt2NsT8qak4Fca1ytBxhJpzsd\n21WrMxhO53ozkstOcuY4655OtiMbkWodXB1pMZz1ZRt/UpufM9tpI+t/qTZvrH2tLe6oAgoo\n0HuBuXq/CW6BAgoooEBNIJ3VnO29gKxGjiI5g/tZUtZhDGxOLiZnkIdJOtmrkFR5ZjnDx5KT\nyeXkGyT1JfK1N4dmm+3vi9vc7Evygcefk8PJA2RXkrbTAR6tfsnMaeQj5HxyHskZ7Z1JtjWd\n/mdJtcazr9XlHVZAAQUUUEABBRQYEIF0Dt8g+SaLan2LkUzfsjqR4X1Ipu9NyirXsRcTcq1z\n5ueDe+nMfoDUa3kmpPP8IMkZ5HNIzjLnfrlPtdIxfoRkXpmnGd6T1GtjJlxBZpAsm23ZmjxP\n0kZZ6zKQ+dXvgc7+n05eLeZl/p/I8SQvCsqayL7mOuqsZ77yzt4qoIACCiiggAIKKBCBslOZ\nTujsJNcSL0hGqkVGmsi0JUg6m//ZYn4uB8n83M7RYply8sIMrFGOTPA212Gng537Z1/qNZF9\nrd/XcQUUUEABBRRQQAEF3hSodirHIsnZ5LtJPohXraMZSQf5S9WJleFcupf5c1am9WJwIvva\ni+2zTQUUUKClQJ5ILQUUUECB/hNIB/SL5CKS4VwmsQ35DLmOtPrWjVxakbPXY13PzCKWAgoo\noIACCiiggALNFjiTzcs1z62+37m69Tnz/D2Sf0aSM8pJPmj4U5JLL5peE9nXpu+L26eAAgoo\noIACCijQRwJzs6354OAKfbTNbqoCCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiig\ngAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoo\noIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIK\nKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIAC\nCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCA\nAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiig\ngAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoooIACCiiggAIKKKCAAgoo\noIACCiiggAIKvEvg/wGmQzv6jLe2aQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=4)\n",
    "# regular plot functions in R\n",
    "plot(x=mpg$displ,y=mpg$hwy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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76oPEeENvzll1+Wli1bSs+ePdX28ePH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qbYE6ysN3zMAj3ej8CquEQQJmXnv16mWw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\nAqkJEECn5kVuBBBAAAEEEEAAgQIX+D/a9qpgNSaoYAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ggplot!\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Basic syntax of ggplot:\n",
    "```\n",
    "ggplot(data=<DATA>) +\n",
    "    <GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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2VT0PPdNSDOcce5Cx97hLND5A34guYl4KAvPhb1Q2OcC0Jp5iZxOODeh0GbiFQD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d4EGjZKpo38evnJT/fSH4UOqsw/2Pe0SaHO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\nA112hlKDEBACQkAICAEhIASEQBQREAU6ih62dFUICAEhIASEgBAQAkKg7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BACQkAICAEhUHEExAJdcazlTkJACAgBISAEhIAQEAIRQEAU\n6Ah4iNIFISAEhIAQEAJCQAgIgYojIAp0xbGWOwkBISAEhIAQEAJCQAhEAAFRoCPgIUoXhIAQ\nEAJCQAgIASEgBCqOgCjQFcda7iQEhIAQEAJCQAgIASEQAQREgY6AhyhdEAJCQAgIASEgBISA\nEKg4AqJAVxxruZMQEAJCQAgIASEgBIRABBAQBToCHqJ0QQgIASEgBISAEBACQqDiCMRU3K3k\nTkJACAgBIVDRBF599VVCym5d0tLSqE6dOip1d1xcnF7s17qgoIAcDgclJCT4db77SSdOnKBX\nXnmF/vrrL7r88stVKnD3cypif9q0aTRz5kyVgvzJJ58s0y3z8/NVNschQ4ZQ3bp1y1SXXCwE\nhED4EBALdPg8K2mpEBACQiBgAi+//DJNmjSJfv75Z/rpp59o/PjxdOONN1Ljxo1p8eLFftcH\nJfyMM86g7du3+32N+4ljxoxRyiZSiGM5FbJs2TK67LLL6OjRo1SrVq0yNwGDglGjRtGOHTvK\nXJdUIASEQPgQEAt0+DwraakQEAJCoFQErr32WjJaWg8cOED9+vWj6667jlauXEkpKSk+6z1y\n5AitX7/e53neTli1ahVdeumlBKv4qRJYv1NTU+mzzz4jq1VsSKfqOch9hUC4E5Bvj3B/gtJ+\nISAEhECABDIzM2nGjBm0ZcsWmjBhgvNq7A8fPpz69u1LgwYNoueff57gtnH8+HF6+OGH1XmP\nPPII/fDDD2ob7gvPPfccDR48mPr06UPDhg2jbdu2OeszbowcOZJWrFhBf/zxBw0dOpSOHTum\n1tiHRfi///2vcg+x2+309ttvK0V74MCB9NJLL1FhYaGzqtdff52+//57euedd5Qbyp133qn6\nsXXrVrrrrrtUW6ZOneo837jx1Vdf0cSJEwn3uP3225UFfuHCherexvO+/vprevbZZ51FsFaj\n3+By/fXX07x585zHzDY++OADuuKKK1T7xo0bR0VFRS6noc/333+/Ov7aa6/R3r17ncex/Z//\n/IcuuOACda85c+Y4j/32229qILR06VK65ZZb1CDoxRdfVP3RT/LGDxzBfuPGjarPGESNHTtW\nXQ+XFrT53nvvJQx0IHhet912m3r+ev1Y41nOnz/fWOTcxmfoscceU217/PHHCXyxr4u39uHZ\n4g2JUdauXaueFSz9IkIglAiIAh1KT0PaIgSEgBCoIAI1atSgBg0a0OrVq9Ud//nnH+WicejQ\nIaW4NW3alJ544gmlOMbExFCbNm3Uea1btyZcC4HSDEtur1696MILL6Qff/yRzjvvPKUIqxMM\n/8H9A/7XuPass85S50B5v+aaayg+Pp5g4YZFGL7EDz30EOH+Z555pnL5QN2apqnaoFBCefzm\nm2/o/PPPp0WLFtGAAQPokksuoUqVKlGLFi3oyiuvJLhquAt8lNFn+H6jDRhIrFu3jj755BOX\nU6GgYoABweChQ4cO9N133ymfbbC46KKL6MMPP3S5Rt+BAvrAAw+o9nfu3FkNMODvrcvvv/+u\neEHRhDUeSj0GEBC4ybRv355mzZqllGv4m6Nvb731ljoOxRcuOVDi0ZdOnTrR//73P5e3C974\nQXkFczw3m81GZ599tmofBgZQctHeTZs2KZa4Idx8Pv74Y8KAQhfwevrppxVHvUxfHzx4UPUN\nAywMfuAyhPZ/8cUX+ileny986zFQMw6Y3n33XaXwl9bv3nlj2RACwSbAX0oiQkAICAEhEKEE\nGjZsqLGSZdo7tjJrXbt2VcdYQdRY+dJYyXKee/PNN2vdunVT+6zwQYPV2I1D7bMbiMaWZ40t\nhM7zWfFT52RlZTnLjBtsVdXuu+8+VcQWaHUuK8vOU5YsWaLKpk+fXqKMJ/6psv79+2vNmzfX\nWMlS+6yAqmvYUu28Bm1+9NFHnfvGDbZwajyJ0lnECppWu3Zt5z422MKqsTKpyp566iktOTlZ\nYwXfeQ7KqlevrrGCq8rB5ZdfflFseBCgsULuPJeVXtW+BQsWqDLwZku58/j+/fu1nj17an//\n/bfGlmeN3Us0tuw7j6OMBwZabm6uxpZtVRdbiJ3H2ULsfIa++OXl5anrjcyvvvpqVcY+3KpO\nPDv0R7/HDTfcoLGC7bwfK7jaueee69w3bqDeatWqKS56ecuWLTUe1KhdX+1jS7+WlJSk8eBF\nnY9njPrQbxEhEGoExAc62CMSqU8ICAEhECYE4JoAqzAEVsgePXooKzIrc4RX53PnznVam927\nVKVKFfr888/Va/7Jkycr/2hMVISwouZ+usd9WEF1Wb58ubJGw6KtC6zQsFrD7QFWZgis4bAE\nQ2AlhaD9ulStWpVYEdR3y7RmpU/dH1ZXXXbt2qXcLnbu3Kms3no5LNf8I6/aCt9yXeBjjmPd\nu3dXvB588EH9kLKCw3IP+fPPP5VV3RgdBRZcuNLo/ueJiYmEtwC61KtXj9BGiC9+OiMw1QX8\nTj/9dBWZBWWwykPAD/e56aabqHfv3qq/rMzSRx99RJgMaiboI94WWCwW52Ee8Dit+b7ah+cL\naz2s3ug33jbAdUO30DsrlQ0hEAIExIUjBB6CNEEICAEhUNEEoOhBKdMVUPi9srVauUfAzQAu\nF2xp9NgsKDZQyKAUwo2DLYeEyYqBChRxXeDGkZ6eTmzx1YuUMgbFDe4Huhiv0cvgvlFaAQuj\nGF0I4FaBvsG9RF/gPgFXA+wbBe2HYg+XFP1crO+55x5q1aqVcgfJyclx6Z/x+uzsbGJruLFI\nhdpDgd5/tMUoqF9vv7/8MjIyjFWoSZV6gVH5RVmPHj0ISvqUKVOIregEFx+jS4p+HdZw4XAP\n5YfnqYs/7eO3Hkrhho883GTgl+3eZ70+WQuBU0lALNCnkr7cWwgIASFwigjAkojQa4jEARk1\napTyH4bVGf6xEPgX64qbrljpyhr8YjGZDr68utKk+8rCd7c00qRJE2XpxOS1tm3bqir27Nmj\nJrXB17c8BMoulFqjwB9cF7QJkxYx2U5XmDdv3kzsskGwdBut7TgXyjesp/AnhoDf+++/T82a\nNVPRTjAYwMAF/tsQsIKSCCUb18+ePVuV6/9hH0o5rMR4K+BNyoMfnjvCHmJiJtoN5dlT1BYM\nEmBFN4pxEqQ/7cOgrWbNmvTpp58qRRqfRxEhEIoEXIfPodhCaZMQEAJCQAiUiQAUZURDgIvF\nl19+qaynd9xxh1KMOnbsqOqGmwSsi1AIoSSzH7JSmhBpA6JbLTE5D5ZSnA/lUI8ggegbiM4A\nKW3EBLz+r1+/vprQhglzcJEYMWIEQemEpbs8BIotXFmg5EL5xeTBb7/91nkrROtAO0aPHq0m\n+UGhh6Ud5xhdLXAB+zIT+2er9q9Zs0ZxwMAEfdAt5IiC8cILLyilHBFOEIUDAxU8BzwTTOKD\nywYssHheerQRKPq+pLz4QYFGzHAo0dg2CqKV4I0FhP3bldsFJlHijQaicGCgoYs/7YPCDrcR\nDJgwMNMHInodshYCIUOAvyhFhIAQEAJCIEIJYBIh/+A4F/Z51tq1a6dxeDWNw6s5e43Jbph8\nx6/LNVaWNfZD1jhroMbRDzRWmNV57LKh6uEQbGqfo2GoCW6sTGus7GjsyqHxK3uNrdvOeo0b\nZpMIWUk0nqImr3EkCo2tvRorjRpHwNA4UojzHEwi5NB1zn32NVZtYiXXWYbJkayoOveNG+6T\nCHGMrb8aW93VgnuzsuycRIjjmBTISrxqDyb0oX59oiS7Jaj7YxIhhKNUaOecc47GiqCafIht\nTNDUBZMBMfEP9wNbTFbE5EtdOMyexklm1L0weZGjlGiY/AfBZDp2X9FPVWtMaGSfcGcZJv95\n4od68Flgn2vn+RyeT7VXL+BBkTqHre56kVpzdBWtQYMGLhMEcQD1PfPMM85zORyexm8P1GRI\njvah8aBA7esneGuffg4PxtTzZ79zvUjWQiDkCFjQopDR5qUhQkAICAEhcEoJwI8VllUkGzET\nWEbhk6q7ecCKisQswcjqZ7wfrOGwRlZUxkJWbJXVl6NrGJvhso3Jg3DbcLc8u5x0cgdWesR/\nNvPXximw7MMn2Ox++FmG1RtW/tjYWLPqfZYFmx8mEuItAEc38XhvTJyEpRyhBHVBbHC4fhhd\nOXAs2O3T7ydrIVBRBESBrijSch8hIASEgBAQAmFGAP7ocNu5++67aSsnqzFT+PUuIREKFGy4\ntyBSCiYdwr8b5YhPLSIEIomAKNCR9DSlL0JACAgBISAEgkgAvtmwIEMJ5pjQXmuGxR1+8FCg\nkXAF/uXIZAjfaBEhEGkERIGOtCcq/RECQkAICAEhECQCmCgKlxI97ra/1cJFxZ+Jj/7WJ+cJ\ngVAjIAp0qD0RaY8QEAJCQAgIASEgBIRASBOQMHYh/XikcUJACAgBISAEhIAQEAKhRkAU6FB7\nItIeISAEhIAQEAJCQAgIgZAmIAp0SD8eaZwQEAJCQAgIASEgBIRAqBEQBTrUnoi0RwgIASEg\nBISAEBACQiCkCYgCHdKPRxonBISAEBACQkAICAEhEGoERIEOtSci7RECQkAICAEhIASEgBAI\naQKiQIf045HGCQEhIASEgBAQAkJACIQagf8HBN7a7SelFZQAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth(se = FALSE) +\n",
    "  labs(x=\"Engine displacement (L)\",y=\"Heighway fuel economy (mpg)\",\n",
    "    title = \"Fuel efficiency generally decreases with engine size\",\n",
    "    caption = \"Data from fueleconomy.gov\",\n",
    "    subtitle = \"Two seaters (sports cars) are an exception because of their light weight\",\n",
    "    colour = \"Car type\"\n",
    "  ) + theme_classic()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## But first...\n",
    "\n",
    "```\n",
    "ggplot(data=<DATA>) +\n",
    "    <GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)\n",
    "```\n",
    "\n",
    "How do we get data into a form appropriate for **ggplot2**?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tidying Data\n",
    "\n",
    "Most datasets are data frames made up of **rows** and **columns**. However, talking about data frames just in terms of what rows and columns it has is not enough.\n",
    "\n",
    " * **Variable:** quantity, quality, property that can be measured.\n",
    " * **Value:** State of variable when measured.\n",
    " * **Observation:** Set of measurements made under similar conditions\n",
    " * **Tabular data:** Set of values, each associated with a variable and an observation.\n",
    "\n",
    "![Tidy graphic](tidy-1.png \"Tidy data\")\n",
    "\n",
    "Tidy data:\n",
    " * Each variable is its own column\n",
    " * Each observation is its own row\n",
    " * Each value is in a single cell\n",
    " \n",
    "Benefits:\n",
    " * Easy to manipulate\n",
    " * Easy to model\n",
    " * Easy to visualize\n",
    " * Has a specific and consistent structure\n",
    " * Stucture makes it easy to tidy other data\n",
    " \n",
    "Cons:\n",
    " * Data frame is not as easy to look at\n",
    "\n",
    "Consider the following tables:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td><td>23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td><td>32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & cty & hwy\\\\\n",
       " <fct> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18 & 29\\\\\n",
       "\t audi a4            & 2008 & 21 & 30\\\\\n",
       "\t chevrolet corvette & 1999 & 15 & 23\\\\\n",
       "\t chevrolet corvette & 2008 & 15 & 25\\\\\n",
       "\t honda civic        & 1999 & 24 & 32\\\\\n",
       "\t honda civic        & 2008 & 25 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;dbl&gt; | cty &lt;dbl&gt; | hwy &lt;dbl&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | 18 | 29 |\n",
       "| audi a4            | 2008 | 21 | 30 |\n",
       "| chevrolet corvette | 1999 | 15 | 23 |\n",
       "| chevrolet corvette | 2008 | 15 | 25 |\n",
       "| honda civic        | 1999 | 24 | 32 |\n",
       "| honda civic        | 2008 | 25 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty hwy\n",
       "1 audi a4            1999 18  29 \n",
       "2 audi a4            2008 21  30 \n",
       "3 chevrolet corvette 1999 15  23 \n",
       "4 chevrolet corvette 2008 15  25 \n",
       "5 honda civic        1999 24  32 \n",
       "6 honda civic        2008 25  36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table1 <- data.frame(makemodel=c(\"audi a4\",\"audi a4\",\"chevrolet corvette\",\"chevrolet corvette\",\"honda civic\",\"honda civic\"),\n",
    "                    year=rep(c(1999,2008),3),\n",
    "                    cty=c(18,21,15,15,24,25),\n",
    "                    hwy=c(29,30,23,25,32,36))\n",
    "table1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is tidy data, because each column is a variable, each observation is a row, and each value is in a single cell\n",
    "\n",
    "Next we will look at some non-tidy data and operations from the **tidyr** package (part of **tidyverse**) to make the data tidy. Many of you might be more used to using operations from **reshape2** like melting and casting. It's a very useful package with more functionality including aggregating data, but syntax with **tidyr** commands is more simpler and intuitive for the purposes of tidying data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Gathering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 3 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>1999</th><th scope=col>2008</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>18</td><td>21</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>15</td><td>15</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>24</td><td>25</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 3 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & 1999 & 2008\\\\\n",
       " <fct> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 18 & 21\\\\\n",
       "\t chevrolet corvette & 15 & 15\\\\\n",
       "\t honda civic        & 24 & 25\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 3 × 3\n",
       "\n",
       "| makemodel &lt;fct&gt; | 1999 &lt;dbl&gt; | 2008 &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 18 | 21 |\n",
       "| chevrolet corvette | 15 | 15 |\n",
       "| honda civic        | 24 | 25 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          1999 2008\n",
       "1 audi a4            18   21  \n",
       "2 chevrolet corvette 15   15  \n",
       "3 honda civic        24   25  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 3 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>1999</th><th scope=col>2008</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>29</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>23</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>32</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 3 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & 1999 & 2008\\\\\n",
       " <fct> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 29 & 30\\\\\n",
       "\t chevrolet corvette & 23 & 25\\\\\n",
       "\t honda civic        & 32 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 3 × 3\n",
       "\n",
       "| makemodel &lt;fct&gt; | 1999 &lt;dbl&gt; | 2008 &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 29 | 30 |\n",
       "| chevrolet corvette | 23 | 25 |\n",
       "| honda civic        | 32 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          1999 2008\n",
       "1 audi a4            29   30  \n",
       "2 chevrolet corvette 23   25  \n",
       "3 honda civic        32   36  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table2a <- data.frame(makemodel=c(\"audi a4\",\"chevrolet corvette\",\"honda civic\"),`1999`=c(18,15,24),'2008'=c(21,15,25),check.names=FALSE)\n",
    "table2b <- data.frame(makemodel=c(\"audi a4\",\"chevrolet corvette\",\"honda civic\"),`1999`=c(29,23,32),'2008'=c(30,25,36),check.names=FALSE)\n",
    "table2a\n",
    "table2b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`table2a` column names `1999` and `2008` represent values of `year` variable. `table2b` is the same. Each row represents 2 observations, not 1. Need to gather columns into new pair of variables.\n",
    "\n",
    "Parameters:\n",
    " * Set of columns that represent values, not variables.\n",
    " * `key`: name of variable whose values are currently column names.\n",
    " * `value`: name of variable whose values are currently spread out across multiple columns.\n",
    "\n",
    "Experiments often report data in the format of `table4a` and `table4b`. One reason is for presentation purposes it's very easy to look at. Another is storage is efficient for completely crossed designs and can allow matrix operations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & year & cty\\\\\n",
       " <fct> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18\\\\\n",
       "\t chevrolet corvette & 1999 & 15\\\\\n",
       "\t honda civic        & 1999 & 24\\\\\n",
       "\t audi a4            & 2008 & 21\\\\\n",
       "\t chevrolet corvette & 2008 & 15\\\\\n",
       "\t honda civic        & 2008 & 25\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;chr&gt; | cty &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 1999 | 18 |\n",
       "| chevrolet corvette | 1999 | 15 |\n",
       "| honda civic        | 1999 | 24 |\n",
       "| audi a4            | 2008 | 21 |\n",
       "| chevrolet corvette | 2008 | 15 |\n",
       "| honda civic        | 2008 | 25 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty\n",
       "1 audi a4            1999 18 \n",
       "2 chevrolet corvette 1999 15 \n",
       "3 honda civic        1999 24 \n",
       "4 audi a4            2008 21 \n",
       "5 chevrolet corvette 2008 15 \n",
       "6 honda civic        2008 25 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tidy2a <- gather(table2a,`1999`,`2008`,key=\"year\",value=\"cty\")\n",
    "tidy2a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>29</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>23</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>32</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & year & hwy\\\\\n",
       " <fct> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 29\\\\\n",
       "\t chevrolet corvette & 1999 & 23\\\\\n",
       "\t honda civic        & 1999 & 32\\\\\n",
       "\t audi a4            & 2008 & 30\\\\\n",
       "\t chevrolet corvette & 2008 & 25\\\\\n",
       "\t honda civic        & 2008 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;chr&gt; | hwy &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 1999 | 29 |\n",
       "| chevrolet corvette | 1999 | 23 |\n",
       "| honda civic        | 1999 | 32 |\n",
       "| audi a4            | 2008 | 30 |\n",
       "| chevrolet corvette | 2008 | 25 |\n",
       "| honda civic        | 2008 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year hwy\n",
       "1 audi a4            1999 29 \n",
       "2 chevrolet corvette 1999 23 \n",
       "3 honda civic        1999 32 \n",
       "4 audi a4            2008 30 \n",
       "5 chevrolet corvette 2008 25 \n",
       "6 honda civic        2008 36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tidy2b <- gather(table2b, `1999`, `2008`, key = \"year\", value = \"hwy\")\n",
    "tidy2b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Merge tables using `left_join()` (many other types of [table joins](https://dplyr.tidyverse.org/reference/join.html) as well)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Joining, by = c(\"makemodel\", \"year\")\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td><td>23</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td><td>32</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & cty & hwy\\\\\n",
       " <fct> & <chr> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18 & 29\\\\\n",
       "\t chevrolet corvette & 1999 & 15 & 23\\\\\n",
       "\t honda civic        & 1999 & 24 & 32\\\\\n",
       "\t audi a4            & 2008 & 21 & 30\\\\\n",
       "\t chevrolet corvette & 2008 & 15 & 25\\\\\n",
       "\t honda civic        & 2008 & 25 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;chr&gt; | cty &lt;dbl&gt; | hwy &lt;dbl&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | 18 | 29 |\n",
       "| chevrolet corvette | 1999 | 15 | 23 |\n",
       "| honda civic        | 1999 | 24 | 32 |\n",
       "| audi a4            | 2008 | 21 | 30 |\n",
       "| chevrolet corvette | 2008 | 15 | 25 |\n",
       "| honda civic        | 2008 | 25 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty hwy\n",
       "1 audi a4            1999 18  29 \n",
       "2 chevrolet corvette 1999 15  23 \n",
       "3 honda civic        1999 24  32 \n",
       "4 audi a4            2008 21  30 \n",
       "5 chevrolet corvette 2008 15  25 \n",
       "6 honda civic        2008 25  36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "right_join(tidy2a,tidy2b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Spreading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 12 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>type</th><th scope=col>mileage</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>cty</td><td>18</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>hwy</td><td>29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>cty</td><td>21</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>hwy</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>cty</td><td>15</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>hwy</td><td>23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>cty</td><td>15</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>hwy</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>cty</td><td>24</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>hwy</td><td>32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>cty</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>hwy</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 12 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & type & mileage\\\\\n",
       " <fct> & <dbl> & <fct> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & cty & 18\\\\\n",
       "\t audi a4            & 1999 & hwy & 29\\\\\n",
       "\t audi a4            & 2008 & cty & 21\\\\\n",
       "\t audi a4            & 2008 & hwy & 30\\\\\n",
       "\t chevrolet corvette & 1999 & cty & 15\\\\\n",
       "\t chevrolet corvette & 1999 & hwy & 23\\\\\n",
       "\t chevrolet corvette & 2008 & cty & 15\\\\\n",
       "\t chevrolet corvette & 2008 & hwy & 25\\\\\n",
       "\t honda civic        & 1999 & cty & 24\\\\\n",
       "\t honda civic        & 1999 & hwy & 32\\\\\n",
       "\t honda civic        & 2008 & cty & 25\\\\\n",
       "\t honda civic        & 2008 & hwy & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 12 × 4\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;dbl&gt; | type &lt;fct&gt; | mileage &lt;dbl&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | cty | 18 |\n",
       "| audi a4            | 1999 | hwy | 29 |\n",
       "| audi a4            | 2008 | cty | 21 |\n",
       "| audi a4            | 2008 | hwy | 30 |\n",
       "| chevrolet corvette | 1999 | cty | 15 |\n",
       "| chevrolet corvette | 1999 | hwy | 23 |\n",
       "| chevrolet corvette | 2008 | cty | 15 |\n",
       "| chevrolet corvette | 2008 | hwy | 25 |\n",
       "| honda civic        | 1999 | cty | 24 |\n",
       "| honda civic        | 1999 | hwy | 32 |\n",
       "| honda civic        | 2008 | cty | 25 |\n",
       "| honda civic        | 2008 | hwy | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "   makemodel          year type mileage\n",
       "1  audi a4            1999 cty  18     \n",
       "2  audi a4            1999 hwy  29     \n",
       "3  audi a4            2008 cty  21     \n",
       "4  audi a4            2008 hwy  30     \n",
       "5  chevrolet corvette 1999 cty  15     \n",
       "6  chevrolet corvette 1999 hwy  23     \n",
       "7  chevrolet corvette 2008 cty  15     \n",
       "8  chevrolet corvette 2008 hwy  25     \n",
       "9  honda civic        1999 cty  24     \n",
       "10 honda civic        1999 hwy  32     \n",
       "11 honda civic        2008 cty  25     \n",
       "12 honda civic        2008 hwy  36     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table3 <- data.frame(makemodel=c(rep(\"audi a4\",4),rep(\"chevrolet corvette\",4),rep(\"honda civic\",4)),\n",
    "                    year=rep(c(1999,1999,2008,2008),3),\n",
    "                    type=rep(c(\"cty\",\"hwy\"),6),\n",
    "                     mileage=c(18,29,21,30,15,23,15,25,24,32,25,36))\n",
    "table3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`table3` has each observation in two rows. Need to spread observations across columns with appropriate variable names instead.\n",
    "\n",
    "Parameters:\n",
    " * `key`: Column that contains variable names.\n",
    " * `value`: Column that contains values for each variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td><td>23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td><td>32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & cty & hwy\\\\\n",
       " <fct> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18 & 29\\\\\n",
       "\t audi a4            & 2008 & 21 & 30\\\\\n",
       "\t chevrolet corvette & 1999 & 15 & 23\\\\\n",
       "\t chevrolet corvette & 2008 & 15 & 25\\\\\n",
       "\t honda civic        & 1999 & 24 & 32\\\\\n",
       "\t honda civic        & 2008 & 25 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;dbl&gt; | cty &lt;dbl&gt; | hwy &lt;dbl&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | 18 | 29 |\n",
       "| audi a4            | 2008 | 21 | 30 |\n",
       "| chevrolet corvette | 1999 | 15 | 23 |\n",
       "| chevrolet corvette | 2008 | 15 | 25 |\n",
       "| honda civic        | 1999 | 24 | 32 |\n",
       "| honda civic        | 2008 | 25 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty hwy\n",
       "1 audi a4            1999 18  29 \n",
       "2 audi a4            2008 21  30 \n",
       "3 chevrolet corvette 1999 15  23 \n",
       "4 chevrolet corvette 2008 15  25 \n",
       "5 honda civic        1999 24  32 \n",
       "6 honda civic        2008 25  36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spread(table3, key=type,value=mileage)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "1. Consider the example below, where we spread and then gather observations from the same columns in `stocks`. Why are `gather()` and `spread()` not perfectly symmetrical? (Hint: look at the variable types and column names)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 4 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>year</th><th scope=col>half</th><th scope=col>return</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>2015</td><td>1</td><td>1.88</td></tr>\n",
       "\t<tr><td>2015</td><td>2</td><td>0.59</td></tr>\n",
       "\t<tr><td>2016</td><td>1</td><td>0.92</td></tr>\n",
       "\t<tr><td>2016</td><td>2</td><td>0.17</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 4 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " year & half & return\\\\\n",
       " <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 2015 & 1 & 1.88\\\\\n",
       "\t 2015 & 2 & 0.59\\\\\n",
       "\t 2016 & 1 & 0.92\\\\\n",
       "\t 2016 & 2 & 0.17\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 4 × 3\n",
       "\n",
       "| year &lt;dbl&gt; | half &lt;dbl&gt; | return &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| 2015 | 1 | 1.88 |\n",
       "| 2015 | 2 | 0.59 |\n",
       "| 2016 | 1 | 0.92 |\n",
       "| 2016 | 2 | 0.17 |\n",
       "\n"
      ],
      "text/plain": [
       "  year half return\n",
       "1 2015 1    1.88  \n",
       "2 2015 2    0.59  \n",
       "3 2016 1    0.92  \n",
       "4 2016 2    0.17  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 4 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>half</th><th scope=col>year</th><th scope=col>return</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>1</td><td>2015</td><td>1.88</td></tr>\n",
       "\t<tr><td>2</td><td>2015</td><td>0.59</td></tr>\n",
       "\t<tr><td>1</td><td>2016</td><td>0.92</td></tr>\n",
       "\t<tr><td>2</td><td>2016</td><td>0.17</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 4 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " half & year & return\\\\\n",
       " <dbl> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 1 & 2015 & 1.88\\\\\n",
       "\t 2 & 2015 & 0.59\\\\\n",
       "\t 1 & 2016 & 0.92\\\\\n",
       "\t 2 & 2016 & 0.17\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 4 × 3\n",
       "\n",
       "| half &lt;dbl&gt; | year &lt;chr&gt; | return &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| 1 | 2015 | 1.88 |\n",
       "| 2 | 2015 | 0.59 |\n",
       "| 1 | 2016 | 0.92 |\n",
       "| 2 | 2016 | 0.17 |\n",
       "\n"
      ],
      "text/plain": [
       "  half year return\n",
       "1 1    2015 1.88  \n",
       "2 2    2015 0.59  \n",
       "3 1    2016 0.92  \n",
       "4 2    2016 0.17  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stocks <- tibble(\n",
    "  year   = c(2015, 2015, 2016, 2016),\n",
    "  half  = c(   1,    2,     1,    2),\n",
    "  return = c(1.88, 0.59, 0.92, 0.17)\n",
    ")\n",
    "\n",
    "stocks\n",
    "\n",
    "stocks %>% \n",
    "  spread(year, return) %>% \n",
    "  gather(\"year\", \"return\", `2015`:`2016`)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Why does the code below fail?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "ename": "ERROR",
     "evalue": "Error in inds_combine(.vars, ind_list): Position must be between 0 and n\n",
     "output_type": "error",
     "traceback": [
      "Error in inds_combine(.vars, ind_list): Position must be between 0 and n\nTraceback:\n",
      "1. table4a %>% gather(1999, 2000, key = \"year\", value = \"cases\")",
      "2. withVisible(eval(quote(`_fseq`(`_lhs`)), env, env))",
      "3. eval(quote(`_fseq`(`_lhs`)), env, env)",
      "4. eval(quote(`_fseq`(`_lhs`)), env, env)",
      "5. `_fseq`(`_lhs`)",
      "6. freduce(value, `_function_list`)",
      "7. withVisible(function_list[[k]](value))",
      "8. function_list[[k]](value)",
      "9. gather(., 1999, 2000, key = \"year\", value = \"cases\")",
      "10. gather.data.frame(., 1999, 2000, key = \"year\", value = \"cases\")",
      "11. unname(tidyselect::vars_select(tbl_vars(data), !!!quos))",
      "12. tidyselect::vars_select(tbl_vars(data), !!!quos)",
      "13. inds_combine(.vars, ind_list)"
     ]
    }
   ],
   "source": [
    "table4a %>% \n",
    "  gather(1999, 2000, key = \"year\", value = \"cases\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Why does spreading this tibble fail? How could you fix it?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "people <- tribble(\n",
    "  ~name,             ~key,    ~value,\n",
    "  #-----------------|--------|------\n",
    "  \"Phillip Woods\",   \"age\",       45,\n",
    "  \"Phillip Woods\",   \"height\",   186,\n",
    "  \"Phillip Woods\",   \"age\",       50,\n",
    "  \"Jessica Cordero\", \"age\",       37,\n",
    "  \"Jessica Cordero\", \"height\",   156\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Separating"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>mileages</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18/29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21/30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15/23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15/25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24/32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25/36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & year & mileages\\\\\n",
       " <fct> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18/29\\\\\n",
       "\t audi a4            & 2008 & 21/30\\\\\n",
       "\t chevrolet corvette & 1999 & 15/23\\\\\n",
       "\t chevrolet corvette & 2008 & 15/25\\\\\n",
       "\t honda civic        & 1999 & 24/32\\\\\n",
       "\t honda civic        & 2008 & 25/36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;dbl&gt; | mileages &lt;fct&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 1999 | 18/29 |\n",
       "| audi a4            | 2008 | 21/30 |\n",
       "| chevrolet corvette | 1999 | 15/23 |\n",
       "| chevrolet corvette | 2008 | 15/25 |\n",
       "| honda civic        | 1999 | 24/32 |\n",
       "| honda civic        | 2008 | 25/36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year mileages\n",
       "1 audi a4            1999 18/29   \n",
       "2 audi a4            2008 21/30   \n",
       "3 chevrolet corvette 1999 15/23   \n",
       "4 chevrolet corvette 2008 15/25   \n",
       "5 honda civic        1999 24/32   \n",
       "6 honda civic        2008 25/36   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table4 <- data.frame(makemodel=c(\"audi a4\",\"audi a4\",\"chevrolet corvette\",\"chevrolet corvette\",\"honda civic\",\"honda civic\"),\n",
    "                     year=rep(c(1999,2008),3),\n",
    "                    mileages=c('18/29','21/30','15/23','15/25','24/32','25/36'))\n",
    "table4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`table4` has `mileages` column that actually contains two variables (`cty` and `hwy`). Need to separate into two columns.\n",
    "\n",
    "Parameters:\n",
    " * column/variable that needs to be separated.\n",
    " * `into`: columns to split into\n",
    " * `sep`: separator value. Can be regexp or positions to split at. If not provided then splits at non-alphanumeric characters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td><td>23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td><td>32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & cty & hwy\\\\\n",
       " <fct> & <dbl> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18 & 29\\\\\n",
       "\t audi a4            & 2008 & 21 & 30\\\\\n",
       "\t chevrolet corvette & 1999 & 15 & 23\\\\\n",
       "\t chevrolet corvette & 2008 & 15 & 25\\\\\n",
       "\t honda civic        & 1999 & 24 & 32\\\\\n",
       "\t honda civic        & 2008 & 25 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| makemodel &lt;fct&gt; | year &lt;dbl&gt; | cty &lt;chr&gt; | hwy &lt;chr&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | 18 | 29 |\n",
       "| audi a4            | 2008 | 21 | 30 |\n",
       "| chevrolet corvette | 1999 | 15 | 23 |\n",
       "| chevrolet corvette | 2008 | 15 | 25 |\n",
       "| honda civic        | 1999 | 24 | 32 |\n",
       "| honda civic        | 2008 | 25 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty hwy\n",
       "1 audi a4            1999 18  29 \n",
       "2 audi a4            2008 21  30 \n",
       "3 chevrolet corvette 1999 15  23 \n",
       "4 chevrolet corvette 2008 15  25 \n",
       "5 honda civic        1999 24  32 \n",
       "6 honda civic        2008 25  36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "separate(table4, mileages, into = c(\"cty\", \"hwy\"), sep=\"/\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>make</th><th scope=col>model</th><th scope=col>year</th><th scope=col>mileages</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi     </td><td>a4      </td><td>1999</td><td>18/29</td></tr>\n",
       "\t<tr><td>audi     </td><td>a4      </td><td>2008</td><td>21/30</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>1999</td><td>15/23</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>2008</td><td>15/25</td></tr>\n",
       "\t<tr><td>honda    </td><td>civic   </td><td>1999</td><td>24/32</td></tr>\n",
       "\t<tr><td>honda    </td><td>civic   </td><td>2008</td><td>25/36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " make & model & year & mileages\\\\\n",
       " <chr> & <chr> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t audi      & a4       & 1999 & 18/29\\\\\n",
       "\t audi      & a4       & 2008 & 21/30\\\\\n",
       "\t chevrolet & corvette & 1999 & 15/23\\\\\n",
       "\t chevrolet & corvette & 2008 & 15/25\\\\\n",
       "\t honda     & civic    & 1999 & 24/32\\\\\n",
       "\t honda     & civic    & 2008 & 25/36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| make &lt;chr&gt; | model &lt;chr&gt; | year &lt;dbl&gt; | mileages &lt;fct&gt; |\n",
       "|---|---|---|---|\n",
       "| audi      | a4       | 1999 | 18/29 |\n",
       "| audi      | a4       | 2008 | 21/30 |\n",
       "| chevrolet | corvette | 1999 | 15/23 |\n",
       "| chevrolet | corvette | 2008 | 15/25 |\n",
       "| honda     | civic    | 1999 | 24/32 |\n",
       "| honda     | civic    | 2008 | 25/36 |\n",
       "\n"
      ],
      "text/plain": [
       "  make      model    year mileages\n",
       "1 audi      a4       1999 18/29   \n",
       "2 audi      a4       2008 21/30   \n",
       "3 chevrolet corvette 1999 15/23   \n",
       "4 chevrolet corvette 2008 15/25   \n",
       "5 honda     civic    1999 24/32   \n",
       "6 honda     civic    2008 25/36   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sep <- separate(table4, makemodel, into = c(\"make\", \"model\"), sep = ' ')\n",
    "sep"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniting\n",
    "\n",
    "Now `sep` has `make` and `model` columns that can be combined into a single column. In other words, we want to unite them.\n",
    "\n",
    "Parameters:\n",
    " * Name of united column/variable\n",
    " * Names of columns/variables to be united\n",
    " * `sep`: Separator value. Default is '_'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>new</th><th scope=col>year</th><th scope=col>mileages</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi_a4           </td><td>1999</td><td>18/29</td></tr>\n",
       "\t<tr><td>audi_a4           </td><td>2008</td><td>21/30</td></tr>\n",
       "\t<tr><td>chevrolet_corvette</td><td>1999</td><td>15/23</td></tr>\n",
       "\t<tr><td>chevrolet_corvette</td><td>2008</td><td>15/25</td></tr>\n",
       "\t<tr><td>honda_civic       </td><td>1999</td><td>24/32</td></tr>\n",
       "\t<tr><td>honda_civic       </td><td>2008</td><td>25/36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " new & year & mileages\\\\\n",
       " <chr> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t audi\\_a4            & 1999 & 18/29\\\\\n",
       "\t audi\\_a4            & 2008 & 21/30\\\\\n",
       "\t chevrolet\\_corvette & 1999 & 15/23\\\\\n",
       "\t chevrolet\\_corvette & 2008 & 15/25\\\\\n",
       "\t honda\\_civic        & 1999 & 24/32\\\\\n",
       "\t honda\\_civic        & 2008 & 25/36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| new &lt;chr&gt; | year &lt;dbl&gt; | mileages &lt;fct&gt; |\n",
       "|---|---|---|\n",
       "| audi_a4            | 1999 | 18/29 |\n",
       "| audi_a4            | 2008 | 21/30 |\n",
       "| chevrolet_corvette | 1999 | 15/23 |\n",
       "| chevrolet_corvette | 2008 | 15/25 |\n",
       "| honda_civic        | 1999 | 24/32 |\n",
       "| honda_civic        | 2008 | 25/36 |\n",
       "\n"
      ],
      "text/plain": [
       "  new                year mileages\n",
       "1 audi_a4            1999 18/29   \n",
       "2 audi_a4            2008 21/30   \n",
       "3 chevrolet_corvette 1999 15/23   \n",
       "4 chevrolet_corvette 2008 15/25   \n",
       "5 honda_civic        1999 24/32   \n",
       "6 honda_civic        2008 25/36   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "unite(sep, new, make, model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>mileages</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;fct&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18/29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21/30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15/23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15/25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24/32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25/36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " makemodel & year & mileages\\\\\n",
       " <chr> & <dbl> & <fct>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18/29\\\\\n",
       "\t audi a4            & 2008 & 21/30\\\\\n",
       "\t chevrolet corvette & 1999 & 15/23\\\\\n",
       "\t chevrolet corvette & 2008 & 15/25\\\\\n",
       "\t honda civic        & 1999 & 24/32\\\\\n",
       "\t honda civic        & 2008 & 25/36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| makemodel &lt;chr&gt; | year &lt;dbl&gt; | mileages &lt;fct&gt; |\n",
       "|---|---|---|\n",
       "| audi a4            | 1999 | 18/29 |\n",
       "| audi a4            | 2008 | 21/30 |\n",
       "| chevrolet corvette | 1999 | 15/23 |\n",
       "| chevrolet corvette | 2008 | 15/25 |\n",
       "| honda civic        | 1999 | 24/32 |\n",
       "| honda civic        | 2008 | 25/36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year mileages\n",
       "1 audi a4            1999 18/29   \n",
       "2 audi a4            2008 21/30   \n",
       "3 chevrolet corvette 1999 15/23   \n",
       "4 chevrolet corvette 2008 15/25   \n",
       "5 honda civic        1999 24/32   \n",
       "6 honda civic        2008 25/36   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "unite(sep, makemodel, make, model, sep=' ')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Piping\n",
    "\n",
    "**dplyr** from **tidyverse** contains the 'pipe' (`%>%`) which allows you to combine multiple operations, directly taking output from a funtion as input to the next. Can save time and memory as well as make code easier to read. Can think of it this way: `x %>% f(y)` becomes `f(x,y)`, and `x %>% f(y) %>% g(z)` becomes `g(f(x,y),z)`, etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 4</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>makemodel</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi a4           </td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>audi a4           </td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>1999</td><td>15</td><td>23</td></tr>\n",
       "\t<tr><td>chevrolet corvette</td><td>2008</td><td>15</td><td>25</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>1999</td><td>24</td><td>32</td></tr>\n",
       "\t<tr><td>honda civic       </td><td>2008</td><td>25</td><td>36</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 4\n",
       "\\begin{tabular}{r|llll}\n",
       " makemodel & year & cty & hwy\\\\\n",
       " <chr> & <dbl> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t audi a4            & 1999 & 18 & 29\\\\\n",
       "\t audi a4            & 2008 & 21 & 30\\\\\n",
       "\t chevrolet corvette & 1999 & 15 & 23\\\\\n",
       "\t chevrolet corvette & 2008 & 15 & 25\\\\\n",
       "\t honda civic        & 1999 & 24 & 32\\\\\n",
       "\t honda civic        & 2008 & 25 & 36\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 4\n",
       "\n",
       "| makemodel &lt;chr&gt; | year &lt;dbl&gt; | cty &lt;chr&gt; | hwy &lt;chr&gt; |\n",
       "|---|---|---|---|\n",
       "| audi a4            | 1999 | 18 | 29 |\n",
       "| audi a4            | 2008 | 21 | 30 |\n",
       "| chevrolet corvette | 1999 | 15 | 23 |\n",
       "| chevrolet corvette | 2008 | 15 | 25 |\n",
       "| honda civic        | 1999 | 24 | 32 |\n",
       "| honda civic        | 2008 | 25 | 36 |\n",
       "\n"
      ],
      "text/plain": [
       "  makemodel          year cty hwy\n",
       "1 audi a4            1999 18  29 \n",
       "2 audi a4            2008 21  30 \n",
       "3 chevrolet corvette 1999 15  23 \n",
       "4 chevrolet corvette 2008 15  25 \n",
       "5 honda civic        1999 24  32 \n",
       "6 honda civic        2008 25  36 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "unite(sep, makemodel, make, model, sep=' ') %>%\n",
    "    separate(mileages, into=c(\"cty\",\"hwy\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "1. What do the `extra` and `fill` arguments do in `separate()`? Experiment with the various options for the following two toy datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Expected 3 pieces. Additional pieces discarded in 1 rows [2].”"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 3 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>one</th><th scope=col>two</th><th scope=col>three</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>a</td><td>b</td><td>c</td></tr>\n",
       "\t<tr><td>d</td><td>e</td><td>f</td></tr>\n",
       "\t<tr><td>h</td><td>i</td><td>j</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 3 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " one & two & three\\\\\n",
       " <chr> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t a & b & c\\\\\n",
       "\t d & e & f\\\\\n",
       "\t h & i & j\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 3 × 3\n",
       "\n",
       "| one &lt;chr&gt; | two &lt;chr&gt; | three &lt;chr&gt; |\n",
       "|---|---|---|\n",
       "| a | b | c |\n",
       "| d | e | f |\n",
       "| h | i | j |\n",
       "\n"
      ],
      "text/plain": [
       "  one two three\n",
       "1 a   b   c    \n",
       "2 d   e   f    \n",
       "3 h   i   j    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Expected 3 pieces. Missing pieces filled with `NA` in 1 rows [2].”"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 3 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>one</th><th scope=col>two</th><th scope=col>three</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>a</td><td>b</td><td>c </td></tr>\n",
       "\t<tr><td>d</td><td>e</td><td>NA</td></tr>\n",
       "\t<tr><td>f</td><td>g</td><td>i </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 3 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " one & two & three\\\\\n",
       " <chr> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t a & b & c \\\\\n",
       "\t d & e & NA\\\\\n",
       "\t f & g & i \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 3 × 3\n",
       "\n",
       "| one &lt;chr&gt; | two &lt;chr&gt; | three &lt;chr&gt; |\n",
       "|---|---|---|\n",
       "| a | b | c  |\n",
       "| d | e | NA |\n",
       "| f | g | i  |\n",
       "\n"
      ],
      "text/plain": [
       "  one two three\n",
       "1 a   b   c    \n",
       "2 d   e   NA   \n",
       "3 f   g   i    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tibble(x = c(\"a,b,c\", \"d,e,f,g\", \"h,i,j\")) %>% \n",
    "  separate(x, c(\"one\", \"two\", \"three\"))\n",
    "\n",
    "tibble(x = c(\"a,b,c\", \"d,e\", \"f,g,i\")) %>% \n",
    "  separate(x, c(\"one\", \"two\", \"three\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Not all data should be tidy\n",
    "\n",
    "Matrices, phylogenetic trees (although `ggtree` and `treeio` have tidy representations that help with annotating trees), etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transforming (Tidy) Data\n",
    "\n",
    "Now we know how to get tidy data. At this point we can already start visualizing our data. However in many cases we will need to further transform our data to narrow down variables and observations we are really interested in or to create new variables that are functions of our existing variables and data. This is known as **transforming** data.\n",
    "\n",
    " * `filter()` to pick observations (rows) by their values\n",
    " * `arrange()` to reorder rows, default is by ascending value\n",
    " * `select()` to pick variables (columns) by their names\n",
    " * `mutate()` to create new variables with functions of existing variables\n",
    " * `summarise()` to collapes many values down to a single summary\n",
    " * `group_by()` to set up functions to operate on groups rather than the whole data set\n",
    " * `%>%` propagates the output from a function as input to another. eg: x %>% f(y) becomes f(x,y), and x %>% f(y) %>% g(z) becomes g(f(x,y),z).\n",
    " \n",
    "All functions have similar structure:\n",
    " 1. First argument is data frame\n",
    " 2. Next arguments describe what to do with data frame using variable names\n",
    " 3. Result is new data frame\n",
    " \n",
    "Will be working with data frame **mpg** for rest of workshop which comes with the **tidyverse** library."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(mpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `filter()` rows/observations\n",
    "\n",
    "As name suggests filters out rows. First argument is name of data frame, next arguments are expressions that filter the data frame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# filter out 2seater cars\n",
    "no_2seaters <- filter(mpg, class != \"2seater\")\n",
    "head(no_2seaters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>2.4</td><td>1999</td><td>4</td><td>auto(l3)</td><td>f</td><td>18</td><td>24</td><td>r</td><td>minivan</td></tr>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>3.0</td><td>1999</td><td>6</td><td>auto(l4)</td><td>f</td><td>17</td><td>24</td><td>r</td><td>minivan</td></tr>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>3.3</td><td>1999</td><td>6</td><td>auto(l4)</td><td>f</td><td>16</td><td>22</td><td>r</td><td>minivan</td></tr>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>3.3</td><td>1999</td><td>6</td><td>auto(l4)</td><td>f</td><td>16</td><td>22</td><td>r</td><td>minivan</td></tr>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>3.3</td><td>2008</td><td>6</td><td>auto(l4)</td><td>f</td><td>17</td><td>24</td><td>r</td><td>minivan</td></tr>\n",
       "\t<tr><td>dodge</td><td>caravan 2wd</td><td>3.3</td><td>2008</td><td>6</td><td>auto(l4)</td><td>f</td><td>17</td><td>24</td><td>r</td><td>minivan</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t dodge & caravan 2wd & 2.4 & 1999 & 4 & auto(l3) & f & 18 & 24 & r & minivan\\\\\n",
       "\t dodge & caravan 2wd & 3.0 & 1999 & 6 & auto(l4) & f & 17 & 24 & r & minivan\\\\\n",
       "\t dodge & caravan 2wd & 3.3 & 1999 & 6 & auto(l4) & f & 16 & 22 & r & minivan\\\\\n",
       "\t dodge & caravan 2wd & 3.3 & 1999 & 6 & auto(l4) & f & 16 & 22 & r & minivan\\\\\n",
       "\t dodge & caravan 2wd & 3.3 & 2008 & 6 & auto(l4) & f & 17 & 24 & r & minivan\\\\\n",
       "\t dodge & caravan 2wd & 3.3 & 2008 & 6 & auto(l4) & f & 17 & 24 & r & minivan\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| dodge | caravan 2wd | 2.4 | 1999 | 4 | auto(l3) | f | 18 | 24 | r | minivan |\n",
       "| dodge | caravan 2wd | 3.0 | 1999 | 6 | auto(l4) | f | 17 | 24 | r | minivan |\n",
       "| dodge | caravan 2wd | 3.3 | 1999 | 6 | auto(l4) | f | 16 | 22 | r | minivan |\n",
       "| dodge | caravan 2wd | 3.3 | 1999 | 6 | auto(l4) | f | 16 | 22 | r | minivan |\n",
       "| dodge | caravan 2wd | 3.3 | 2008 | 6 | auto(l4) | f | 17 | 24 | r | minivan |\n",
       "| dodge | caravan 2wd | 3.3 | 2008 | 6 | auto(l4) | f | 17 | 24 | r | minivan |\n",
       "\n"
      ],
      "text/plain": [
       "  manufacturer model       displ year cyl trans    drv cty hwy fl class  \n",
       "1 dodge        caravan 2wd 2.4   1999 4   auto(l3) f   18  24  r  minivan\n",
       "2 dodge        caravan 2wd 3.0   1999 6   auto(l4) f   17  24  r  minivan\n",
       "3 dodge        caravan 2wd 3.3   1999 6   auto(l4) f   16  22  r  minivan\n",
       "4 dodge        caravan 2wd 3.3   1999 6   auto(l4) f   16  22  r  minivan\n",
       "5 dodge        caravan 2wd 3.3   2008 6   auto(l4) f   17  24  r  minivan\n",
       "6 dodge        caravan 2wd 3.3   2008 6   auto(l4) f   17  24  r  minivan"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# filter out audis, chevys, and hondas\n",
    "mpg %>% filter(!manufacturer %in% c(\"audi\",\"chevrolet\",\"honda\")) %>% head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `arrange()` rows/observations\n",
    "\n",
    "Changes order of rows. First argument is name of data frame, next arguments are column names (or more complicated expressions) to order by. Default column ordering is by ascending order, can use `desc()` to do descending order. Missing values get sorted at the end regardless of what column ordering is chosen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>5.7</td><td>1999</td><td>8</td><td>manual(m6)</td><td>r</td><td>16</td><td>26</td><td>p</td><td>2seater</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>5.7</td><td>1999</td><td>8</td><td>auto(l4)  </td><td>r</td><td>15</td><td>23</td><td>p</td><td>2seater</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>6.2</td><td>2008</td><td>8</td><td>manual(m6)</td><td>r</td><td>16</td><td>26</td><td>p</td><td>2seater</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>6.2</td><td>2008</td><td>8</td><td>auto(s6)  </td><td>r</td><td>15</td><td>25</td><td>p</td><td>2seater</td></tr>\n",
       "\t<tr><td>chevrolet</td><td>corvette</td><td>7.0</td><td>2008</td><td>8</td><td>manual(m6)</td><td>r</td><td>15</td><td>24</td><td>p</td><td>2seater</td></tr>\n",
       "\t<tr><td>audi     </td><td>a4      </td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t chevrolet & corvette & 5.7 & 1999 & 8 & manual(m6) & r & 16 & 26 & p & 2seater\\\\\n",
       "\t chevrolet & corvette & 5.7 & 1999 & 8 & auto(l4)   & r & 15 & 23 & p & 2seater\\\\\n",
       "\t chevrolet & corvette & 6.2 & 2008 & 8 & manual(m6) & r & 16 & 26 & p & 2seater\\\\\n",
       "\t chevrolet & corvette & 6.2 & 2008 & 8 & auto(s6)   & r & 15 & 25 & p & 2seater\\\\\n",
       "\t chevrolet & corvette & 7.0 & 2008 & 8 & manual(m6) & r & 15 & 24 & p & 2seater\\\\\n",
       "\t audi      & a4       & 1.8 & 1999 & 4 & auto(l5)   & f & 18 & 29 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| chevrolet | corvette | 5.7 | 1999 | 8 | manual(m6) | r | 16 | 26 | p | 2seater |\n",
       "| chevrolet | corvette | 5.7 | 1999 | 8 | auto(l4)   | r | 15 | 23 | p | 2seater |\n",
       "| chevrolet | corvette | 6.2 | 2008 | 8 | manual(m6) | r | 16 | 26 | p | 2seater |\n",
       "| chevrolet | corvette | 6.2 | 2008 | 8 | auto(s6)   | r | 15 | 25 | p | 2seater |\n",
       "| chevrolet | corvette | 7.0 | 2008 | 8 | manual(m6) | r | 15 | 24 | p | 2seater |\n",
       "| audi      | a4       | 1.8 | 1999 | 4 | auto(l5)   | f | 18 | 29 | p | compact |\n",
       "\n"
      ],
      "text/plain": [
       "  manufacturer model    displ year cyl trans      drv cty hwy fl class  \n",
       "1 chevrolet    corvette 5.7   1999 8   manual(m6) r   16  26  p  2seater\n",
       "2 chevrolet    corvette 5.7   1999 8   auto(l4)   r   15  23  p  2seater\n",
       "3 chevrolet    corvette 6.2   2008 8   manual(m6) r   16  26  p  2seater\n",
       "4 chevrolet    corvette 6.2   2008 8   auto(s6)   r   15  25  p  2seater\n",
       "5 chevrolet    corvette 7.0   2008 8   manual(m6) r   15  24  p  2seater\n",
       "6 audi         a4       1.8   1999 4   auto(l5)   f   18  29  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange/reorder mpg by class\n",
    "arrange(mpg, class) %>% head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange/reorder data frame with 2seaters filtered out by class\n",
    "# 2seaters does not appear which is as it should be\n",
    "arrange(no_2seaters, class) %>% head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What kinds of cars have the best highway and city gas mileage?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>volkswagen</td><td>new beetle</td><td>1.9</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>35</td><td>44</td><td>d</td><td>subcompact</td></tr>\n",
       "\t<tr><td>volkswagen</td><td>jetta     </td><td>1.9</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>33</td><td>44</td><td>d</td><td>compact   </td></tr>\n",
       "\t<tr><td>volkswagen</td><td>new beetle</td><td>1.9</td><td>1999</td><td>4</td><td>auto(l4)  </td><td>f</td><td>29</td><td>41</td><td>d</td><td>subcompact</td></tr>\n",
       "\t<tr><td>toyota    </td><td>corolla   </td><td>1.8</td><td>2008</td><td>4</td><td>manual(m5)</td><td>f</td><td>28</td><td>37</td><td>r</td><td>compact   </td></tr>\n",
       "\t<tr><td>honda     </td><td>civic     </td><td>1.8</td><td>2008</td><td>4</td><td>auto(l5)  </td><td>f</td><td>25</td><td>36</td><td>r</td><td>subcompact</td></tr>\n",
       "\t<tr><td>honda     </td><td>civic     </td><td>1.8</td><td>2008</td><td>4</td><td>auto(l5)  </td><td>f</td><td>24</td><td>36</td><td>c</td><td>subcompact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\n",
       "\\hline\n",
       "\t volkswagen & new beetle & 1.9 & 1999 & 4 & manual(m5) & f & 35 & 44 & d & subcompact\\\\\n",
       "\t volkswagen & jetta      & 1.9 & 1999 & 4 & manual(m5) & f & 33 & 44 & d & compact   \\\\\n",
       "\t volkswagen & new beetle & 1.9 & 1999 & 4 & auto(l4)   & f & 29 & 41 & d & subcompact\\\\\n",
       "\t toyota     & corolla    & 1.8 & 2008 & 4 & manual(m5) & f & 28 & 37 & r & compact   \\\\\n",
       "\t honda      & civic      & 1.8 & 2008 & 4 & auto(l5)   & f & 25 & 36 & r & subcompact\\\\\n",
       "\t honda      & civic      & 1.8 & 2008 & 4 & auto(l5)   & f & 24 & 36 & c & subcompact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| volkswagen | new beetle | 1.9 | 1999 | 4 | manual(m5) | f | 35 | 44 | d | subcompact |\n",
       "| volkswagen | jetta      | 1.9 | 1999 | 4 | manual(m5) | f | 33 | 44 | d | compact    |\n",
       "| volkswagen | new beetle | 1.9 | 1999 | 4 | auto(l4)   | f | 29 | 41 | d | subcompact |\n",
       "| toyota     | corolla    | 1.8 | 2008 | 4 | manual(m5) | f | 28 | 37 | r | compact    |\n",
       "| honda      | civic      | 1.8 | 2008 | 4 | auto(l5)   | f | 25 | 36 | r | subcompact |\n",
       "| honda      | civic      | 1.8 | 2008 | 4 | auto(l5)   | f | 24 | 36 | c | subcompact |\n",
       "\n"
      ],
      "text/plain": [
       "  manufacturer model      displ year cyl trans      drv cty hwy fl class     \n",
       "1 volkswagen   new beetle 1.9   1999 4   manual(m5) f   35  44  d  subcompact\n",
       "2 volkswagen   jetta      1.9   1999 4   manual(m5) f   33  44  d  compact   \n",
       "3 volkswagen   new beetle 1.9   1999 4   auto(l4)   f   29  41  d  subcompact\n",
       "4 toyota       corolla    1.8   2008 4   manual(m5) f   28  37  r  compact   \n",
       "5 honda        civic      1.8   2008 4   auto(l5)   f   25  36  r  subcompact\n",
       "6 honda        civic      1.8   2008 4   auto(l5)   f   24  36  c  subcompact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange mpg so that first hwy mileage is by descending order, then cty mileage is by descending order\n",
    "arrange(mpg, desc(hwy), desc(cty)) %>% head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Example of missing data getting placed at bottom."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 4 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>x</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 5</td></tr>\n",
       "\t<tr><td> 2</td></tr>\n",
       "\t<tr><td>NA</td></tr>\n",
       "\t<tr><td> 6</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 4 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " x\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t  5\\\\\n",
       "\t  2\\\\\n",
       "\t NA\\\\\n",
       "\t  6\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 4 × 1\n",
       "\n",
       "| x &lt;dbl&gt; |\n",
       "|---|\n",
       "|  5 |\n",
       "|  2 |\n",
       "| NA |\n",
       "|  6 |\n",
       "\n"
      ],
      "text/plain": [
       "  x \n",
       "1  5\n",
       "2  2\n",
       "3 NA\n",
       "4  6"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(x=c(5,2,NA,6))\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 4 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>x</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 2</td></tr>\n",
       "\t<tr><td> 5</td></tr>\n",
       "\t<tr><td> 6</td></tr>\n",
       "\t<tr><td>NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 4 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " x\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t  2\\\\\n",
       "\t  5\\\\\n",
       "\t  6\\\\\n",
       "\t NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 4 × 1\n",
       "\n",
       "| x &lt;dbl&gt; |\n",
       "|---|\n",
       "|  2 |\n",
       "|  5 |\n",
       "|  6 |\n",
       "| NA |\n",
       "\n"
      ],
      "text/plain": [
       "  x \n",
       "1  2\n",
       "2  5\n",
       "3  6\n",
       "4 NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange df by ascending order, NA will be at bottom\n",
    "arrange(df, x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 4 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>x</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td> 6</td></tr>\n",
       "\t<tr><td> 5</td></tr>\n",
       "\t<tr><td> 2</td></tr>\n",
       "\t<tr><td>NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 4 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " x\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t  6\\\\\n",
       "\t  5\\\\\n",
       "\t  2\\\\\n",
       "\t NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 4 × 1\n",
       "\n",
       "| x &lt;dbl&gt; |\n",
       "|---|\n",
       "|  6 |\n",
       "|  5 |\n",
       "|  2 |\n",
       "| NA |\n",
       "\n"
      ],
      "text/plain": [
       "  x \n",
       "1  6\n",
       "2  5\n",
       "3  2\n",
       "4 NA"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange df by descending order, NA will be at bottom\n",
    "arrange(df, desc(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you want to bring `NA` to the top, you can instead use `!is.na(x)` which evaluates as a boolean, so FALSE/TRUE. The df gets arranged by FALSE first, so NA goes to the top. However the rest of the values are unsorted since they will all return TRUE, although you can add more arguments to sort by the same column. This can be done for any other variable you want to use to rearrange with boolean expressions instead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 4 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>x</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>NA</td></tr>\n",
       "\t<tr><td> 5</td></tr>\n",
       "\t<tr><td> 2</td></tr>\n",
       "\t<tr><td> 6</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 4 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " x\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t NA\\\\\n",
       "\t  5\\\\\n",
       "\t  2\\\\\n",
       "\t  6\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 4 × 1\n",
       "\n",
       "| x &lt;dbl&gt; |\n",
       "|---|\n",
       "| NA |\n",
       "|  5 |\n",
       "|  2 |\n",
       "|  6 |\n",
       "\n"
      ],
      "text/plain": [
       "  x \n",
       "1 NA\n",
       "2  5\n",
       "3  2\n",
       "4  6"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# rest of the values are unsorted because they are all T for !is.na(x)\n",
    "arrange(df,!is.na(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 4 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>x</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>NA</td></tr>\n",
       "\t<tr><td> 6</td></tr>\n",
       "\t<tr><td> 5</td></tr>\n",
       "\t<tr><td> 2</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 4 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " x\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t NA\\\\\n",
       "\t  6\\\\\n",
       "\t  5\\\\\n",
       "\t  2\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 4 × 1\n",
       "\n",
       "| x &lt;dbl&gt; |\n",
       "|---|\n",
       "| NA |\n",
       "|  6 |\n",
       "|  5 |\n",
       "|  2 |\n",
       "\n"
      ],
      "text/plain": [
       "  x \n",
       "1 NA\n",
       "2  6\n",
       "3  5\n",
       "4  2"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# can arrange by x again to get ascending order\n",
    "arrange(df,!is.na(x),desc(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `select()` columns/variables\n",
    "\n",
    "Selects columns, which can be useful when you have hundreds or thousands of variables in order to narrow down to what variables you're actually interested in. First argument is name of data frame, subsequent arguments are columns to select. Can use `a:b` to select all columns between `a` and `b`, or use `-a` to select all columns *except* a."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 5</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1999</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1999</td><td>21</td><td>29</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2008</td><td>20</td><td>31</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2008</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1999</td><td>16</td><td>26</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1999</td><td>18</td><td>26</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 5\n",
       "\\begin{tabular}{r|lllll}\n",
       " manufacturer & model & year & cty & hwy\\\\\n",
       " <chr> & <chr> & <int> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t audi & a4 & 1999 & 18 & 29\\\\\n",
       "\t audi & a4 & 1999 & 21 & 29\\\\\n",
       "\t audi & a4 & 2008 & 20 & 31\\\\\n",
       "\t audi & a4 & 2008 & 21 & 30\\\\\n",
       "\t audi & a4 & 1999 & 16 & 26\\\\\n",
       "\t audi & a4 & 1999 & 18 & 26\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 5\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | year &lt;int&gt; | cty &lt;int&gt; | hwy &lt;int&gt; |\n",
       "|---|---|---|---|---|\n",
       "| audi | a4 | 1999 | 18 | 29 |\n",
       "| audi | a4 | 1999 | 21 | 29 |\n",
       "| audi | a4 | 2008 | 20 | 31 |\n",
       "| audi | a4 | 2008 | 21 | 30 |\n",
       "| audi | a4 | 1999 | 16 | 26 |\n",
       "| audi | a4 | 1999 | 18 | 26 |\n",
       "\n"
      ],
      "text/plain": [
       "  manufacturer model year cty hwy\n",
       "1 audi         a4    1999 18  29 \n",
       "2 audi         a4    1999 21  29 \n",
       "3 audi         a4    2008 20  31 \n",
       "4 audi         a4    2008 21  30 \n",
       "5 audi         a4    1999 16  26 \n",
       "6 audi         a4    1999 18  26 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# select manufacturer, model, year, cty, hwy\n",
    "select(mpg, manufacturer, model, year, cty, hwy) %>% head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 8</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td></tr>\n",
       "\t<tr><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td></tr>\n",
       "\t<tr><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td></tr>\n",
       "\t<tr><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td></tr>\n",
       "\t<tr><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td></tr>\n",
       "\t<tr><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 8\n",
       "\\begin{tabular}{r|llllllll}\n",
       " model & displ & year & cyl & trans & drv & cty & hwy\\\\\n",
       " <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int>\\\\\n",
       "\\hline\n",
       "\t a4 & 1.8 & 1999 & 4 & auto(l5)   & f & 18 & 29\\\\\n",
       "\t a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29\\\\\n",
       "\t a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31\\\\\n",
       "\t a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30\\\\\n",
       "\t a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26\\\\\n",
       "\t a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 8\n",
       "\n",
       "| model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; |\n",
       "|---|---|---|---|---|---|---|---|\n",
       "| a4 | 1.8 | 1999 | 4 | auto(l5)   | f | 18 | 29 |\n",
       "| a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 |\n",
       "| a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 |\n",
       "| a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 |\n",
       "| a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 |\n",
       "| a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 |\n",
       "\n"
      ],
      "text/plain": [
       "  model displ year cyl trans      drv cty hwy\n",
       "1 a4    1.8   1999 4   auto(l5)   f   18  29 \n",
       "2 a4    1.8   1999 4   manual(m5) f   21  29 \n",
       "3 a4    2.0   2008 4   manual(m6) f   20  31 \n",
       "4 a4    2.0   2008 4   auto(av)   f   21  30 \n",
       "5 a4    2.8   1999 6   auto(l5)   f   16  26 \n",
       "6 a4    2.8   1999 6   manual(m5) f   18  26 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# select all columns model thru hwy\n",
    "select(mpg, model:hwy) %>% head\n",
    "head(mpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 7</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>18</td><td>29</td><td>p</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>21</td><td>29</td><td>p</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>20</td><td>31</td><td>p</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>21</td><td>30</td><td>p</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>16</td><td>26</td><td>p</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>18</td><td>26</td><td>p</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 7\n",
       "\\begin{tabular}{r|lllllll}\n",
       " manufacturer & model & displ & year & cty & hwy & fl\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <int> & <chr>\\\\\n",
       "\\hline\n",
       "\t audi & a4 & 1.8 & 1999 & 18 & 29 & p\\\\\n",
       "\t audi & a4 & 1.8 & 1999 & 21 & 29 & p\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 20 & 31 & p\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 21 & 30 & p\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 16 & 26 & p\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 18 & 26 & p\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 7\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; |\n",
       "|---|---|---|---|---|---|---|\n",
       "| audi | a4 | 1.8 | 1999 | 18 | 29 | p |\n",
       "| audi | a4 | 1.8 | 1999 | 21 | 29 | p |\n",
       "| audi | a4 | 2.0 | 2008 | 20 | 31 | p |\n",
       "| audi | a4 | 2.0 | 2008 | 21 | 30 | p |\n",
       "| audi | a4 | 2.8 | 1999 | 16 | 26 | p |\n",
       "| audi | a4 | 2.8 | 1999 | 18 | 26 | p |\n",
       "\n"
      ],
      "text/plain": [
       "  manufacturer model displ year cty hwy fl\n",
       "1 audi         a4    1.8   1999 18  29  p \n",
       "2 audi         a4    1.8   1999 21  29  p \n",
       "3 audi         a4    2.0   2008 20  31  p \n",
       "4 audi         a4    2.0   2008 21  30  p \n",
       "5 audi         a4    2.8   1999 16  26  p \n",
       "6 audi         a4    2.8   1999 18  26  p "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# select all columns except cyl thru drv and class\n",
    "select(mpg, -(cyl:drv), -class) %>% head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `mutate()` to add new variables or `transmute()` to keep only new variables\n",
    "\n",
    "Adds new columns that are functions of existing columns. First argument is name of data frame, next arguments are of the form `new_column_name = f(existing columns)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 12</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th><th scope=col>avg_mileage</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td><td>23.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td><td>25.0</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td><td>25.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td><td>25.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td><td>21.0</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td><td>22.0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 12\n",
       "\\begin{tabular}{r|llllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class & avg\\_mileage\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi & a4 & 1.8 & 1999 & 4 & auto(l5)   & f & 18 & 29 & p & compact & 23.5\\\\\n",
       "\t audi & a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & compact & 25.0\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31 & p & compact & 25.5\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact & 25.5\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact & 21.0\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact & 22.0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 12\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; | avg_mileage &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| audi | a4 | 1.8 | 1999 | 4 | auto(l5)   | f | 18 | 29 | p | compact | 23.5 |\n",
       "| audi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact | 25.0 |\n",
       "| audi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact | 25.5 |\n",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact | 25.5 |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact | 21.0 |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact | 22.0 |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact\n",
       "  avg_mileage\n",
       "1 23.5       \n",
       "2 25.0       \n",
       "3 25.5       \n",
       "4 25.5       \n",
       "5 21.0       \n",
       "6 22.0       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# add a new column that takes average mileage between city and highway\n",
    "mutate(mpg, avg_mileage = (cty+hwy)/2) %>% head"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>cty</th><th scope=col>avg_mileage</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>18</td><td>23.5</td></tr>\n",
       "\t<tr><td>21</td><td>25.0</td></tr>\n",
       "\t<tr><td>20</td><td>25.5</td></tr>\n",
       "\t<tr><td>21</td><td>25.5</td></tr>\n",
       "\t<tr><td>16</td><td>21.0</td></tr>\n",
       "\t<tr><td>18</td><td>22.0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       " cty & avg\\_mileage\\\\\n",
       " <int> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 18 & 23.5\\\\\n",
       "\t 21 & 25.0\\\\\n",
       "\t 20 & 25.5\\\\\n",
       "\t 21 & 25.5\\\\\n",
       "\t 16 & 21.0\\\\\n",
       "\t 18 & 22.0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 2\n",
       "\n",
       "| cty &lt;int&gt; | avg_mileage &lt;dbl&gt; |\n",
       "|---|---|\n",
       "| 18 | 23.5 |\n",
       "| 21 | 25.0 |\n",
       "| 20 | 25.5 |\n",
       "| 21 | 25.5 |\n",
       "| 16 | 21.0 |\n",
       "| 18 | 22.0 |\n",
       "\n"
      ],
      "text/plain": [
       "  cty avg_mileage\n",
       "1 18  23.5       \n",
       "2 21  25.0       \n",
       "3 20  25.5       \n",
       "4 21  25.5       \n",
       "5 16  21.0       \n",
       "6 18  22.0       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# keep only average mileage between city and highway\n",
    "transmute(mpg,cty,avg_mileage=(cty+hwy)/2) %>% head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `summarise()` and `group_by()` for grouped summaries\n",
    "\n",
    "`summarise()` collapses a data frame into a single row, and `group_by()` changes analysis from entire data frame into individual groups."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 4 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>cyl</th><th scope=col>avg</th></tr>\n",
       "\t<tr><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>4</td><td>24.90741</td></tr>\n",
       "\t<tr><td>5</td><td>24.62500</td></tr>\n",
       "\t<tr><td>6</td><td>19.51899</td></tr>\n",
       "\t<tr><td>8</td><td>15.10000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 4 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       " cyl & avg\\\\\n",
       " <int> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 4 & 24.90741\\\\\n",
       "\t 5 & 24.62500\\\\\n",
       "\t 6 & 19.51899\\\\\n",
       "\t 8 & 15.10000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 4 × 2\n",
       "\n",
       "| cyl &lt;int&gt; | avg &lt;dbl&gt; |\n",
       "|---|---|\n",
       "| 4 | 24.90741 |\n",
       "| 5 | 24.62500 |\n",
       "| 6 | 19.51899 |\n",
       "| 8 | 15.10000 |\n",
       "\n"
      ],
      "text/plain": [
       "  cyl avg     \n",
       "1 4   24.90741\n",
       "2 5   24.62500\n",
       "3 6   19.51899\n",
       "4 8   15.10000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# get average mileage grouped by engine cylinder\n",
    "m <- mutate(mpg, avg_mileage=(cty+hwy)/2)\n",
    "# behavior is actually different in R/RStudio compared to notebooks\n",
    "m %>% group_by(cyl) %>%\n",
    "    summarise(avg=mean(avg_mileage)) %>%\n",
    "    head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** If you look at the output of `group_by` in R/RStudio you will actually be able to see what your groupings are as well as how many of them you have. For example if we did `group_by(mpg, cyl)` the output would include `cyl [4]` which shows that our grouping is by `cyl` and there are 4 groups. Jupyter notebook doesn't display this for reasons having to do with [how data frames are outputted](https://github.com/IRkernel/repr/issues/113). Some other differences exist between how certain objects from **tidyverse** are displayed as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 3 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>drv</th><th scope=col>avg</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>4</td><td>16.75243</td></tr>\n",
       "\t<tr><td>f</td><td>24.06604</td></tr>\n",
       "\t<tr><td>r</td><td>17.54000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 3 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       " drv & avg\\\\\n",
       " <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 4 & 16.75243\\\\\n",
       "\t f & 24.06604\\\\\n",
       "\t r & 17.54000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 3 × 2\n",
       "\n",
       "| drv &lt;chr&gt; | avg &lt;dbl&gt; |\n",
       "|---|---|\n",
       "| 4 | 16.75243 |\n",
       "| f | 24.06604 |\n",
       "| r | 17.54000 |\n",
       "\n"
      ],
      "text/plain": [
       "  drv avg     \n",
       "1 4   16.75243\n",
       "2 f   24.06604\n",
       "3 r   17.54000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "group_by(m, drv) %>%\n",
    "    summarise(avg=mean(avg_mileage))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A grouped_df: 9 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>drv</th><th scope=col>cyl</th><th scope=col>avg</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>f</td><td>4</td><td>26.26724</td></tr>\n",
       "\t<tr><td>f</td><td>5</td><td>24.62500</td></tr>\n",
       "\t<tr><td>4</td><td>4</td><td>21.47826</td></tr>\n",
       "\t<tr><td>r</td><td>6</td><td>21.25000</td></tr>\n",
       "\t<tr><td>f</td><td>6</td><td>21.12791</td></tr>\n",
       "\t<tr><td>f</td><td>8</td><td>20.50000</td></tr>\n",
       "\t<tr><td>4</td><td>6</td><td>17.14062</td></tr>\n",
       "\t<tr><td>r</td><td>8</td><td>16.83333</td></tr>\n",
       "\t<tr><td>4</td><td>8</td><td>14.22917</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A grouped_df: 9 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " drv & cyl & avg\\\\\n",
       " <chr> & <int> & <dbl>\\\\\n",
       "\\hline\n",
       "\t f & 4 & 26.26724\\\\\n",
       "\t f & 5 & 24.62500\\\\\n",
       "\t 4 & 4 & 21.47826\\\\\n",
       "\t r & 6 & 21.25000\\\\\n",
       "\t f & 6 & 21.12791\\\\\n",
       "\t f & 8 & 20.50000\\\\\n",
       "\t 4 & 6 & 17.14062\\\\\n",
       "\t r & 8 & 16.83333\\\\\n",
       "\t 4 & 8 & 14.22917\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A grouped_df: 9 × 3\n",
       "\n",
       "| drv &lt;chr&gt; | cyl &lt;int&gt; | avg &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| f | 4 | 26.26724 |\n",
       "| f | 5 | 24.62500 |\n",
       "| 4 | 4 | 21.47826 |\n",
       "| r | 6 | 21.25000 |\n",
       "| f | 6 | 21.12791 |\n",
       "| f | 8 | 20.50000 |\n",
       "| 4 | 6 | 17.14062 |\n",
       "| r | 8 | 16.83333 |\n",
       "| 4 | 8 | 14.22917 |\n",
       "\n"
      ],
      "text/plain": [
       "  drv cyl avg     \n",
       "1 f   4   26.26724\n",
       "2 f   5   24.62500\n",
       "3 4   4   21.47826\n",
       "4 r   6   21.25000\n",
       "5 f   6   21.12791\n",
       "6 f   8   20.50000\n",
       "7 4   6   17.14062\n",
       "8 r   8   16.83333\n",
       "9 4   8   14.22917"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# df after group_by would show that we have 9 groups\n",
    "drv_cyl <- group_by(m, drv, cyl) %>%\n",
    "    summarise(avg=mean(avg_mileage)) %>%\n",
    "    arrange(desc(avg))\n",
    "drv_cyl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Can also run `ungroup` to ungroup your observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 3 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>drv</th><th scope=col>max</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>4</td><td>21.47826</td></tr>\n",
       "\t<tr><td>f</td><td>26.26724</td></tr>\n",
       "\t<tr><td>r</td><td>21.25000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 3 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       " drv & max\\\\\n",
       " <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 4 & 21.47826\\\\\n",
       "\t f & 26.26724\\\\\n",
       "\t r & 21.25000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 3 × 2\n",
       "\n",
       "| drv &lt;chr&gt; | max &lt;dbl&gt; |\n",
       "|---|---|\n",
       "| 4 | 21.47826 |\n",
       "| f | 26.26724 |\n",
       "| r | 21.25000 |\n",
       "\n"
      ],
      "text/plain": [
       "  drv max     \n",
       "1 4   21.47826\n",
       "2 f   26.26724\n",
       "3 r   21.25000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "drv_cyl %>% summarise(max=max(avg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 1 × 1</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>max</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>26.26724</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 1 × 1\n",
       "\\begin{tabular}{r|l}\n",
       " max\\\\\n",
       " <dbl>\\\\\n",
       "\\hline\n",
       "\t 26.26724\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 1 × 1\n",
       "\n",
       "| max &lt;dbl&gt; |\n",
       "|---|\n",
       "| 26.26724 |\n",
       "\n"
      ],
      "text/plain": [
       "  max     \n",
       "1 26.26724"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ungroup(drv_cyl) %>% summarise(max=max(avg))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "1. Find all cars that:\n",
    "    * Have an average gas mileage greater than 20mpg\n",
    "    * Have an automatic transmission\n",
    "    * Are 4-wheel drive\n",
    "    \n",
    "2. Earlier we computed the average mileage with an explicit formula by taking city mileage + highway mileage and dividing the sum by two. How can you do this without typing out the exact formula? What happens if there are `NA`s? Feel free to experiment on the dataframe `ex2_df` to arrive at an answer.\n",
    "    \n",
    "3. Find all cars grouped by manufacturer, model, cylinder, and auto/manual transmission that improved on gas mileage (either city, highway, or both, you choose) by at least 1mpg between 1999 and 2008. (This one might take some time, if you just look at city mileage you should end up with 26 rows in your data frame.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "ex2_df <- data.frame(x=c(5,2,NA,6),y=c(NA,5,10,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Back to Visualizing Data\n",
    "\n",
    "Basic syntax of ggplot:\n",
    "```\n",
    "ggplot(data=<DATA>) +\n",
    "    <GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(mpg) # automatically loaded when you load tidyverse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's break down the components of ggplot. First, note that `ggplot(data=<DATA>)` on its own will not actually plot anything."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIECBAgQIAAgYCAgA4c2YoECBAgQIAA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\nQIAAAQIECFws8Be1fhe9ccw+kwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is because we need the `<GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)` to tell us what exactly to plot using our data. However, just `ggplot(data=<DATA>) + <GEOM_FUNCTION>()` on its own doesn't do anything either."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR while rich displaying an object: Error: geom_point requires the following missing aesthetics: x, y\n",
      "\n",
      "Traceback:\n",
      "1. FUN(X[[i]], ...)\n",
      "2. tryCatch(withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler), error = outer_handler)\n",
      "3. tryCatchList(expr, classes, parentenv, handlers)\n",
      "4. tryCatchOne(expr, names, parentenv, handlers[[1L]])\n",
      "5. doTryCatch(return(expr), name, parentenv, handler)\n",
      "6. withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler)\n",
      "7. repr::mime2repr[[mime]](obj)\n",
      "8. repr_text.default(obj)\n",
      "9. paste(capture.output(print(obj)), collapse = \"\\n\")\n",
      "10. capture.output(print(obj))\n",
      "11. evalVis(expr)\n",
      "12. withVisible(eval(expr, pf))\n",
      "13. eval(expr, pf)\n",
      "14. eval(expr, pf)\n",
      "15. print(obj)\n",
      "16. print.ggplot(obj)\n",
      "17. ggplot_build(x)\n",
      "18. ggplot_build.ggplot(x)\n",
      "19. by_layer(function(l, d) l$compute_geom_1(d))\n",
      "20. f(l = layers[[i]], d = data[[i]])\n",
      "21. l$compute_geom_1(d)\n",
      "22. f(..., self = self)\n",
      "23. check_required_aesthetics(self$geom$required_aes, c(names(data), \n",
      "  .     names(self$aes_params)), snake_class(self$geom))\n",
      "24. stop(name, \" requires the following missing aesthetics: \", paste(missing_aes, \n",
      "  .     collapse = \", \"), call. = FALSE)\n"
     ]
    },
    {
     "data": {
      "image/png": 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AECBAgQICCg/QABAgQIECBAgACBICCg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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg) + geom_point()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So in fact we need *all* of the components described in the ggplot syntax."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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76oPEeENvzll1+Wli1bSs+ePdX28ePH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qbYE6ysN3zMAj3ej8CquEQQJmXnv16mWw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\nAqkJEECn5kVuBBBAAAEEEEAAgQIX+D/a9qpgNSaoYAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg) + geom_point(mapping=aes(x=displ,y=hwy))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `<MAPPINGS>`\n",
    "\n",
    "```\n",
    "ggplot(data=<DATA>) +\n",
    "    <GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)\n",
    "```\n",
    "\n",
    "Visual property of objects in plot, i.e. size, shape, color. Can display points from other variables (in this case class) in different ways by changing value of aesthetic properties. These are known as **levels**, which is done in order to distinguish aesthetic values from data values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr>\\\\\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",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 11\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; |\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",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(mpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "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).”Warning message:\n",
      "“Using size for a discrete variable is not advised.”Warning message:\n",
      "“Using alpha for a discrete variable is not advised.”"
     ]
    },
    {
     "data": {
      "image/png": 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0/QAkMGDhxIHTp0oE6dOkkTDZBlmGEk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MczAGYgri/BwTo+u55/qK3z+Oz5ilZBrTzvWN+3xDTo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d7LAIPyDWEc51/dxVkjNjvRS2ri6TFgck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\nz6Z+xeYKFqm84pXUN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LjjiFjy+sWcjXRNq6sfBA8iMoRffQ8NPejd/PudIffTMW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\n+x0LD1weprhDuGlhh3ciLz9uH/1UBBSBsiFAG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X/DDTck9w1R/oQ1mpTTUom+dh7TdmW/ySeeeCJZwNMBf/xHWY7KEto6BJHi8JJ1gLgO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\npAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,color=class))\n",
    "p2 <- ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,shape=class))\n",
    "p3 <- ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,size=class))\n",
    "p4 <- ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,alpha=class))\n",
    "grid.arrange(p1,p2,p3,p4,nrow=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercises\n",
    "\n",
    "1. Make a scatterplot of hwy vs cyl.\n",
    "\n",
    "2. What does the `stroke` aesthetic do? What shapes does it work with? Use one of the pieces of code above to make the same plot but with `stroke=3` and a different fill. (Hint: use ?geom_point)\n",
    "\n",
    "3. What happens if you map an aesthetic to something other than a variable name, like `aes(colour = displ < 5)`? Note, you’ll also need to specify x and y."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Levels\n",
    "\n",
    "**ggplot2** automatically assigns a unique level of an aesthetic to a unique value of the variable. This process is known as scaling. It will also automatically select a scale to use with the aesthetic (i.e. continuous or discrete) as well as add a legend explaining the mapping between levels and values. That's why in the size mapping there's no shape for suv, and why the following two pieces of code do different things:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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H9GBUgAARAAARAAARAAARAAgTwSKIsZ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\ngg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# for color property, all data points were assigned to 'blue', therefore ggplot2 assigns a single level to all of the\n",
    "# points, which is red\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,color='blue'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AmEBQsW0MSJE2nWrFnK8ccee4y9Siyi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\nFwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# here color is placed outside aesthetic mapping, so ggplot2 understands that we want color of points to be blue\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy),color='blue')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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0RHR1N4eLhenq0X3JcnJs0XDk8dPzP3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QcFYCA77oJBmouvo9DX9GIyfO1s1K1vWI\ngX0ou7/+3yzet5zUlD27+b8ZvL3jwYMHlCWL/q+zmTNnplOn5HUpCwM6qTOGeiAAAiAAAiAA\nAiCQAghMm7ec7t5/qMhIx0+dbyQ3cyZf6vB5U6N8azM8PDykBSw2pHVTjIjaq9nSoZtvyzUM\naFvooS0IgAAIgAAIgAAIuBgBjpvAL3slufriXzV5hfrJkyd6qvN9vnz59PJsvYEBbStBtAcB\nEEg2gdMXbkh7euOEv9HKYk90zYolki0rJTQ8c/EmHTxxgeLEz52VyxQBr5Qw6RgjCDiCAAdR\niU/6tgpbVXwjo8/pUqVK0ZEjR6hbt25atdgfdN++fbX3clzAgJaDImSAAAhYTWDCvHVS2G72\nLMELHWu27aPq5YvR1GHdpUA4Vgt08QY/Cl6//31E/Dz5lpeITli9nOA1HLxcfOoxPBBwAAGN\n9w17dS3fajcbyuwfukePHlS5cmWaO3cuRUdHU9euXWUdDI68y4oTwkAABJJC4M8Dp2jr7qMi\n+NQbsZoaTxzynMN4HzlzhdZu258UESmqzl+C1xbmJb5p6PE6e4VWb9mbolhgsCAAAiBgicDH\nH39MAwYMoFq1apGvry8tXryYli9fLl1bamdtGQxoa4mhPgiAgM0Etu45KhnNhoLi4l6LVdbD\nhtkp/n7bP8fM8tq6+0iK5wMAIAACKZNAYGAgDR482Gjwo0ePpoiICLpy5QqdPn2a6tWrZ1TH\n1gwY0LYSRHsQAAGrCYRHvDTb5vnLSLNlKbXgacQLs0OPAC+zbFAAAiCQcgmkTp2acuTIoRgA\nGNCKoYVgEAABcwTKFctvcp8z7+8tWTiPuWYpNr+sBV6lCudNsVwwcBAAARBwFAEcInQUefQL\nAimYQKdPP6Rt/x6j+Kh4aV+vBoVbKjf6on1jzS3e3xLo1ELwEts44qMFL7FvXJMSeDXS3OId\nBEAABGQhMGfyKIqMipJFVlKEeImogmpLMKDVNmPQFwRcgEA2v4y0bHJ/Gjt7DZ2/GiSNqGCe\nHPT9l62ocL6cLjBCeYeg4TVuzloKvHL7La/sgldrKpI/QN7OIA0EQCDFE6hVvVKKZ5AYABjQ\niRFCOQiAgCIECogQ3mxER0ZFiwNybyh9ujSK9OMqQpnX0knfgperTCjGAQIgoGoCMKBVPX1Q\nHgTUTyBtmtTqH4QdRwBedoSNrkAABEDADAEcIjQDBtkgAAIgAAIgAAIgAAIgYIqAU6xAP3jw\ngA4cOEDu7u5Uo0YNyplTfw/k8+fP6dChQ8TvVatWpTx5cErf1GQiDwRAAARAAARAAARAQHkC\nDjegR44cSRyjnCPG3Lp1i+bPn0/jx4+n6tWrS6PnvO7du1OBAgUoICCAFi5cKJVXq1ZNeTro\nQdUEOELb/DW7KCb2tXCZ5katG9ekfp2bqXpMUN40gShxWrzj4Jl05+FjKSy4f+YMtOynvuSX\n2dd0A+SqmsCJwCs0bdFGehj6hLJk9KHe7RpT/VoV9cYUL6Jb7tx3nP49fJZi4+KoZsWS9EmD\nGqTG0/56A8MNCICAUxBwqAHNEWL2799P69evJ39/fwnImDFjaNasWVoDeuLEidSsWTPq168f\npUqVSgrHOH36dFq7dq107xQUoYTTERgwYTEdOHVZ0oufm1gRJnrV1gN0PPAGrZra3+n0hULJ\nJ/DiVRR90GmkZDjzXHMKeRxBjXqOp/WzBlHegITPluT3gJbORGD173vo50UbtCo9e/6Shkxa\nRKcuXKchfVpL+RwWvt/YeXTszGUR+vy1lHfk1EXatOsgLZ3yHWEfuRYfLkAABJJJwKF7oJ8+\nfSqtLmuMZx5D+fLlKTg4WPwxfEOPHz+mS5cuUfPmzbXGcpMmTYi3fFy8eDGZQ0YzVycQHv5C\nz3jm8bJhxa8rtx7QmYs3XR1Bihpfu/5T9YxnzXyzt+ROg2akKBauPtiYmDiatnijyWGu+2Mv\n3X0YJpVt+fs/PeOZM2NFmPhbdx/Sr2t3mGyPTBAAARCwhoBDV6B5G4bhVow9e/ZQ8eLFJWOH\nDWlOunuis2TJQl5eXhQaGkolS5bUjvXu3bs0ZMgQ7T1fdOzYkT788EO9PGtu3NzciPtTY+L9\n5JzUqr8t7CfMT1id0qxGGs7fnNU7afOCHwyzZbtPyexlg2iFoODHz7RfsHWb8fxHRseq6t+A\nLc+97tgdcc3PPTNX8jNnw/a90uKKufFt23OURvbrTP+IbRualWfdumxE/33wFI0Z2EM3W7oG\neyMkdsvgZ0fJ50bJgdjr8z4mJkbJYUB2Mgg41IA21HfdunV09uxZaZ8zlz18+JA4ljm/dFOG\nDBmIV69106tXr+jkyZO6WdS4cWPJ2NbLtPKGjXU1JzXrn1zdI15GWpyyKPFBlFzZFgUbFNqj\nD4MuZbtVs+66EHgVWm1jUZu+urz5Wkn9X0VbNiJeRSX8246MjjZUS3sfHRNrVkclddcqoOCF\nmvVXs+48pUrrHyf28SM5FwGnMaCXLFlCq1evpgkTJlDRokUlSp4itKOph+a12NOWLl06PZLc\n5sKFC3p57LWDjfDkJt5awivdakxZs2YlXlEJCQlRo/rSnvjksu/QpJZYgTpndtzN6la26bkw\nK/htQUpmnxgbJcrTpvakV1GxRqvQvA3M3S2VonMt93jU/Jnj5+cneVJS8jOnSqmCFpHXrlxS\nmu9KpQrT+cs3pW0bug3cxWHiiqLM1N8FsNclZd9r/swMC0vYfmPfnm3vjZ97Dw8Paeup7dLM\nS2AD3dDuMV8bJfYg4NA90DxAPik9ZcoU4tXnqVOnUs2aNbXj5geTjWVeXdZNERERlCNHDt0s\n6ZofYt2XuZ/wjRoiw6UIlC6WjzL5pDP6qZcNqtRe7tSq0XsuNd6UPpgpQ7pICHh+NUlzPaBL\nU00W3l2AQNYsGalutbImR1I4XwBVKZuw+NL+kw8oo28G4X0nYSsbN3AXCwqpxaLM152am2yP\nTBAAARCwhoDDDehx48bR4cOHJfd1fIBQN+XKlUsyiHVXlvlQIRvduvuiddvgGgSYwF9Lx1DB\nXNkkI5qNKX5ly+JDB9f8BEAuRqBKmSI0cUB7abVZM9duYi9uv46NqVXjWi42Wgzn5xF9qHWT\nOuTpkWAcs2Fcr2YFWjNruBaOT3pv+m3GMPqodkUpRHzaNF5Us1JJ+k3UCcjup62HCxAAARBI\nLgGHbuHYuXMn7d69mwYNGiQFSeH9z5pUqlQp8vX1pQYNGtDSpUulg4W8urxo0SJq2LAh8U8+\nSCBgicDamd9ZKkaZCxGoV7OcMKLKkT22EbgQNtUOhd3VaVzWmRtElkw+NG5gV3PFyAcBEAAB\nmwg41IDesCHBWwJv4TBMf/75p7Tfp0+fPsS+oZs2bSodJixbtix98803htVxDwIgAAIgAAIg\nAAIgAAJ2IeBQA3rx4sWJDjJTpkw0Y8YM4n3P7C7G29s70TaoAAIgAAIgAAIgAAIgAAJKEXCo\nAW3NoHx8fKypjrogAAIgAAIgAAIgAAIgoAgB1RjQioweQkEgBRB4Ev6chk9dTueu3JYOU7K3\nggkDO1LuHMqdI1i/8yD9snYXRbx4Rd5p01DbprWpZ+uGitEODntC3b+bTA9CH0tjzJLJl2aP\n+YZKFMmnWJ/2Fvz02XMa/ONCOnvxesI85s9Fk4b1otw5s+mpMmPJRlqz9V/JhRsfsGtQqyJN\nGNRNr47ab85euklL1u+SIgvm9Pcj9rpRq3JptQ8L+oMACKiIgMO9cKiIFVQFAdURePb8JTXp\nOYZOnL9OMbFxklF18fod+uyrHynovjJ+V6f+upEmLdxAT5+9EG4o4yUjeuGaXTTgx0WK8At5\n9IQ+7jSE7oc8kgxL7uTx02fUru94OnfphiJ92ltoeMQL+qjDYDp+9vK7ebwWRM17jKDbIjy1\nJn0zag6t2LRb6//4tfBYtHPfcfrsizGaKqp///vgSeo+eCodPH6e7j18RMcEk/5j54tx/636\nsWEAIAAC6iEAA1o9cwVNQcBqAiOnr5IMLsOG8fFvaMikJYbZNt/zivPa7QdMytl/7DxdvX3f\nZJktmX2GTdcazoZyvvlhtmGWKu9HTl0i5jHWSHeex4Hj50v5YU+e0aGT+sGkNA1u3Q2mw6cv\naW5V+84MxsxcSfFvXVNqBsL3s5b9TqGPwzVZeAcBEAABRQnAgFYUL4SDgGMJnL5ofgX25r1g\n2ZXbue+ERZlb/j5isTw5hUH3zY/j2fMXyRHpdG1OBl41q9OttyvQqzbvNluHC1Zs/MtiuRoK\nL4lfT6Kjjb9IsO7sF9oSJzWMDzqCAAiohwAMaPXMFTQFARBIsQTeRVk0h4ADTLl6EgvNFlNi\n5RYboxAEQAAErCAAA9oKWKgKAmojUK54AbMq58+V3WxZcgsaishvllKzD6taKk5WWZ4A8+Pw\nyeAabi8rlCpilk2+t/PY6bMGZutwQccW9SyWq6GwROE8Ih6Ap0lVY+NeUyURlRIJBEAABOxB\nAAa0PSijDxBwEIFx/TuQl6exsx03t1Q0eUgX2bXyFQZrazPhs2tXLklFC+SSvc+FE/tTKhG6\n21SaM7avqWzV5Y0f1N3sPE4d8aU0nqyZfal6hRImx5ZfhLWvUbGkyTI1ZXp5etIPfTsSh2rX\nnXJ+nvt2bk7+WTKqaTjQFQRAQMUEYECrePKgOggkRiCjT3r649dRVKFkQfIUhrSH2CdarGAu\n2jh3OOUN0Hd/lpispJYP6vkZDenVkjL5eBO7UcvgnVa4sPuIpn3fM6kirKqXzS8z/bH0R8qZ\nzY80ZnRmEcZ55cwRVKZ4QatkOWtlnsddKydLK6zaeSyUhzb/Op4K5MmhVXvu2G+klWYPEXSK\nk8aN3cYFo6V7V/gfu+VbNGkg1axUigKyZaFKpYvQtBF9KLEVeFcYO8YAAiDgPARSvRHJedSR\nV5Pw8HCKjIxMtlB/f38KDQ1NdntHNsyaNSu5CeMlJCTEkWoku2+wTzY6mxuqmb2fn58UsRTP\nvc2PgdUCwN5qZLI1UDt7/nsVFqaMW03ZIJsRxOw9PDwoONj8YWYzTa3K9vLyoixZsljVBpWV\nJYAVaGX5QjoIgAAIgAAIgAAIgICLEYAB7WITiuGAAAiAAAiAAAiAAAgoSwAGtLJ8IR0EQAAE\nQAAEQAAEQMDFCBgfz3exAWI4IAAC9iewS4SP/mXNDnoY+pj8hHeITsKF2ueN31dMkcfhz2nm\nsi104MRFihfhwyuVLkT9u31CubL7Wd0nhwGf9ssa2nfktBSKvGr5EvRdn/aUK4e/LLIG9m5H\nuXMqc4DTagVduMH12/eo3w/TRbjvhHMsWTL50k/DvqAq5a33RsLPxPRf19Lew6ekZ6JKOX4m\njOfxq5Ez6dDxQC3VYgXz0Nq5P2jvcQECIOA6BHCI0MJcqvkwFQ4RWphYhYtSOvvVW/bQjMWb\n6LVOYA/2CtGmaR0a0KOl7PQ5fHjrvpPo6bPnFCeMZ07sfSJNai9aO3Mw5fDPnOQ+I56/pM96\nDqMn4RFC1usEWe4sKzWtXziBArJnVVSWmj9znOkg2/2QMGrSaSBxqHPDtPjn4cKbSXHDbDLH\nPuLF22fiqc4z8fb5+p94JjRfrFp9MZqu3rpnJNdXeKPZ97+ZRvlyZjgT++SMC4cIE6eGQ4SJ\nM7J3DWzhsDdx9AcCLkzgxatImrV0s57xzMNlY3T1ln/ofvAj2Ue/asu/FB7xQms8cwdsvEfF\nxNC8Vdut6m/Fxp1vDfEE41mSJYzyqOhomrNsg8NkWdUxKtOISQtNGs+MhsusSas27qKn4hcO\nzRcqbqt5vmYvXS+Juvsg1KTxzIXPIl7SH3sOS/XwPxAAAdchAAPadeYSIwEBhxO4dP0OmXOM\nyQFdzly6IbuOR05fJo5CZ5heC8P3eOA1w2yL9/8dPydkxRnVYVnHTl8wyreU8d+JQNlkWeoH\nZcYELl27bZz5Nic47InZMlMFlufxotTkN/Gri6W0add+S8UoAwEQUCEBGNAqnDSoDALOSiC1\nl6cwoI1/Nmd9OZ/L5U68VcNcMhWF0Vxdzk+bJrXZ4tTCD6s1Ka0FvayVZU2/qEtSwCBzHDiK\noTUpjcVnIuF55mBBllLaNGksFaMMBEBAhQRgQKtw0qAyCDgrgeKF8pJP+nRm1atStqjZsuQW\nNKhVgTSR93RleIqoi1xmTfqoTjWTxhfLaijKrEkN61Y3K4v7QVKOQO2q5cwKL1Ekn9kyUwUf\nm30mPKhh3YR57Pp5I1NNtXl9OjTTXuMC+B4T9QAAKYhJREFUBEDANQjAgHaNecQoQMApCLCh\nOXFId+J3jVHrLg7h8arfmP6dhXHtLbuen9SvRhVLFdL2xx1w//lzZ6Pun9e3qr/PGtWVDphx\nyHNN8hRRxgrkCaAe7awzgj79uI5ZWT2tlKXRBe9JIzB6QE/i8OeGyUv8AjJjTH/DbIv3nzR8\nn9jrhuEzkS93DurV/hOpbdq0XtSqSR2TcqqWL06li+Y3WYZMEAAB9RKAFw4Lc2fuVLaFJk5T\nlNI9QThyIsCe6I44VLXuj710I+gB5Rbu3z5vVJuKFMil2LTwHuWd+0/Qf6euSIcJK5cqSM2F\nYW3tFg5WkGVt/+cQ/XPwJMWJ/dC1xGpmC2FEsfFlbTKU9V6VssSGtTlZav7McTZPEDx3P85e\nIdwRJrieq1y2OI0a0J3Se5v+hcQS+3hxKHX7nv9oz8ET0jNhbh75sODUX9bR8+evKF3a1NTl\n84bUvU1jax8bq+s7G3trBwAvHIkTgxeOxBnZuwYMaAvELX2gWmjmFEUw4hw3DWDvOPZqNyTU\n/JkD9njuk0sABnTi5GBAJ87I3jWwhcPexNEfCIAACIAACIAACICAqgnAgFb19EF5EAABEAAB\nEAABEAABexOAAW1v4ugPBGQm8FoEKbl8PYhiROAQS4mDjTwS0dTUmBLGeIciIy2P8X5wGN2+\n+1CWIT59Jng9eSaLLDmFSPOYiF78LOzce0xEVHwhZ9cWZXEkyNBHTy3WSWphVHQMvYqMSmp1\ni/VChN/nu/dDLNaRs5D3S99/GCb+PRr7E5ezH11ZkVHR9FIEMVJjYveW/EzzeQEkEFATAQ81\nKQtdQQAE3hFgo/LTPmPoXugzSiW8XPAfoswZ0tCmBaMog44ruQPHz9P301YKgyRaaswH64b0\n/oya16v+TpiTXvEYW/T6ge7oGEBZMvnS77+O0xvj/7bvo8kL1lH8Wx/U7Om3a6uG9HWn5laP\nbP+xczR8yhI9XoP7tKZPP3rPallyNth/9AwNnfgLvRTzyPPNnkaGftmWPmtUR9sNG841Pusn\nIuW90T4TXPf3haMoT0B2bT05Lw4IXgl6JRi8/HwN/bKdOCxZ2+pubt65T6OnLKTT569KbQvl\nz02jBvakciWLWC3rf9v20ISZSyhePEOcUqVyo65tm1L/nm2tlpWUBmw4f/PDLDp04ry2erGC\neWjJlMGULp0yfqD5y+LoaYvojODF3tcL5ctFP/TvRmVLFNbq4KwX/Hm1fOPftPh/O4XxHyX5\niP+sYS3q17UFeYpnCAkEnJ0AVqCdfYagHwiYIdCw83Ct8cxV2FB68jyKPuryvbbFhatB1H/C\nIq0xyAUxsXE0bs46+vfwOW09Z71o0GGwnvHMej5++ozqt/9Oq/JB8QXhp/lrtcYzF7AxseR/\nu2jVZssR4rRC3l5cvBZE346db8Rr/OzVtOfQacPqdru/cOUW9R01W2s8c8fSPM5cSX/tP6bV\no9qn74xnztR8sfqk12htHTkvLly9LRmNL3VWi1mvsTNX0N/CK4o1KfTRE2r3xQg6e/Fd9Mjr\nt+5S12/H0JUbQdaIokPHz9K4ab9qjWdu/OZNPC35bQstXfuHVbKSWrnzgIl6xjO3u3zjDjXv\nOSKpIqyqx6v97b8ZJXhdl553bnz99j3qNnCC1bys6limynNWbKF5q7ZKxjOLjI6JpfU79tGw\nyYtl6gFiQEBZAjCgleUL6SCgCIEzF65LxjIbSLqJ76Nj42nttn+l7PFz1+oW613/tHC93r2z\n3ZwTYb/ZWDaV+Cd+TfjkkdOWmaoi5c1evtlsmamCMcIgNZcmzl9jrkjx/DHTl0rfCnTnWzKO\nRc8T56yW+t/890HpVwjdOlygqdd/3Fypnpz/GztjuVlxE+cm6GW2gkHB0nXbhBEVQ/Fi9Vw3\n8crurEXmn2PduprrYRPnay6N3mcv/Z9Rnq0Zdx+EUODlWybFhD0Ot/rLhElBBpnL1+8g/nfA\nfHRTvNgKMWuJc//bjnjxUlp9jotL+HVAo3+suP/3yFm6evOeJgvvIOC0BGBAO+3UQDEQME9g\nq/A3aylpVkvvPHxkttoTscfXmdOWv/6zqN4e4aeZU8Tzl2br8R9kaxL7rzaXeE+0o1LQfaGX\nwZcl1oWN4/CIhPGv3PC3RfWOn03YFmGxkpWFQTpbawybPhX7Wq1Jp88JH94m5osN6sDLN6wR\nRc/EfmxzKTaRswLm2lnK3yeMPkvp4IlAS8XJKjtz4appXmJrxPkrN5Ml016Nrt26LwVXMtVf\nauFv/aI404EEAs5OAAa0s88Q9AMBEwSy+2UykfsuK0smH+mG/xiZSxwh0JlT9qyZLarHe6E5\nuck4jjSpvcz26UheaVJ7SqvLppRzd0/4FSJ7VsvPBAf2kDtZ5OVm3fOV0TeDWfWsjWDp7v4u\nkqSRUBNfRIzqWJmRNZF/j5kzJvx7tFKsxeqWeGUwEyzGokA7FvIZjdcGK+ea7nlFXfcMhyYf\n7yDgbASs+4RzNu2hDwikUAJdWjYgNpv4II5u0tzzQRxOH9WuoFusd12tbFG9e2e76dyyvkWV\n+nX7VCqvXMb8OPIE+FuUYVjY8P3Khlna+ypli2mv7X3xcd2q0nwb9Svmv8rbeZzxw5dSseYZ\nMKw7cXB3wyyb7xsJvcwlDmFtTeKQ2aa+pHAI7RaN6lgjiqpVLG22ft5cOc2WJbeg/nsVTequ\nkdf+k3qaS9nemzeoRe4mvqRIvBpaf4BTNsWSIKhwvgDKld1P+gXFsLqnhwdVK2fds2MoA/cg\nYA8CMKDtQRl9gIDMBDgq1TcdG0lS2WDSvDij5UdVKYd/FqlsSK+WlCdnVula93+ZfNLTT0O6\n6GY53TWP8dseLU3q9XmTOhSQPWFc88b1Je90aY3qsSGxasZQo3xLGUOEt428AdmMqmT0TU9T\nv+9llG+vjKFfdaC8ufwTvjDxl6a3r4w+3jRtdF9JDeb1XqWS0rXmedC858+VjSqWNv9FI7nj\nGPxFW8qX29i7R0bxfP381qBPquyGH9SgTz6uQ25uqchDrCCzccjv1SqUps6tmiRVjFRv3sRB\n5JPBeEXb09OL1i4cb5WspFR2E7pOGtbbZNVvu7ckv8wJv5aYrJDMzAbvV6VPxRcLN7Gizs86\n8+KV9yrlSlCnzxM+G5IpWvFmvPXo5+97k0/6tMReW/hHAX7nF/8781bIa4niA0MHKYoAQnlb\nmG41h9VFOGkLE6twkT3Zs//nUTNXUejjZ5RJGFNDhQFYpZzxSumabfto1/6Tkq/V2lVKUa82\nDc1ScLbn/vL1O/TDtKWSj+FM4mf+wV+0oeoVEgxF3UFMXvg/+ue/09IhtMplitCEQd10i626\nXrP1X9qx96jw4hBPtauWod7trDPgrOpMp3Ji7H/b/Ddt/+dwwjwKvb7snLAKryOC/jpwgkZO\nXUqxwn2bhzCq+gjdu7VR1qDiA51/Ca8b/PN79Qol6IuOzXVVsur6xNlLtP/IKWmMVcqXpPer\nm/8VJTHBk+aupD/3HpH0qipkTRrxtdkmibE321Cn4H7II5r+6/8o6F4I+YttHV93aUHFC+XV\nqSH/5anAK3Ts7GVpS0SpIvno/Wrl5e9EIYnPX0bSH/8cobAnEeTjnZYa1a1C/lkyKtSbMmI5\nhL2HWDUPDg5WpoO3UhHKW1G8yRIOA9oCNjk+UC2IV7TInkacEgMBeyWoJk2mmtnzHzNehQsJ\nsV/gjKRRTVotsE8aJyVqgb0SVJMmk/9ehYWFJa2yk9WCAe1kE2JHdbCFw46w0RUIgAAIgAAI\ngAAIgID6CcCAVv8cYgQgAAIgAAIgAAIgAAJ2JAAD2o6w0RUIgAAI2EKA9xgfOh5I/xw6RTEx\ncWZF3Q8Jox3//CdFpjNbyUkLeIwHRNjy3QeOWxxjUtTnQ5S37jygayKi4Wuxnx0JBEAABOQi\ngIDzcpGEHBAAARBQkAAf1Ju6UIQs14nU17nlR9S/x+faXl+8fEXtvh4lDrG9O9DE/rJXzxmj\n9cyireyEF6s37qLJ85Zrx8iuGru0bkID+nSwWls+jDh0wmwKCXsitfXNkJ5GDexJ9YX3CiQQ\nAAEQsJUAVqBtJYj2IAACIKAwAV51nixCiesaz9zl8g1/akOa832rPiP0jGfO43Don/UcxpdO\nnXjV+ac5y/TGyF7Ol677g1Zu2GGV7rfvPqBe303QGs/c+NnzF/TdmBl0/MxFq2ShMgiAAAiY\nIgAD2hQV5IEACICAExGYtGCtWW3mrfhdKrt49TbdDzbtyeDlq0jatHOvWRnOUDBpznKzasxb\ntsFsmamCZcLojmdf2QaJ8+YtW2+Qi1sQAAEQsJ4ADGjrmaEFCIAACNiVgGYbgqlO2TjmdOzM\nBVPF2rwzF65qr53xIiTssVm1NGM0W8Gg4NK1W2LP82uD3ITb67fvmcxHJgiAAAhYQwAGtDW0\nUBcEQAAEHEAgvQgyYS5x6GNO+XLnMFdFyg/IYV1Yc4vCFChM753OrFRPEWnPmpTd389sdb/M\n6grUYXYgKAABEHAoARjQDsWPzkEABEAgcQJtm31gtlKD2pWlsjoiYl9qL0+T9Tjcc8cW5qNP\nmmxk58z2n35ktscGdaqbLTNV0Lp5fREemo8g6icODd7+U+fmoK8x7kAABJyVAAxoZ50Z6AUC\nIAACbwn0aNuEalQ0Dl9eKF9OGj+ou5bTr1OGERuJuokNyckihHW6dGl0s53uukf7FvRelbJG\nehXKl4smDv/KKN9SRo1KZejbnm3IzS0VpUntRanFizm0bPKBeH1oqSnKQAAEQCBJBODGLkmY\nUAkEQAAEHEtg3oT+dOLsFVq/Y6+0v7dR3Wr0Qc0KekqVLVGYDm39hX5dtYWu3rpDeXJmp57t\nm1NGn/R69Zz1Zv6kYdJe7vVbd1Oc2MPcuF4tqlcrYYXdWp27tW0uXNZVo/+OnxWy4qlK+ZJU\nOH9ua8WgPgiAAAiYJAAD2iQWZIIACICA8xGoVLYo8ctSSuPlRd90e+cb2lJdZyyrUq4k8UuO\nlDtnNmrdvIEcoiADBEAABPQIYAuHHg7cgAAIgAAIgAAIgAAIgIBlAjCgLfNBKQiAAAiAAAiA\nAAiAAAjoEcAWDj0cuAEBEFArAfYVfO7gMeL4GfkC/MlXJft+reHNYzx9/oq0B7pcyaJmx3jt\n1l0KEtH4smfzo5JFCpj0SGFNv/as++hJOG3a/i/FxMVSU7EHOq8Z93zSGO89pOz+WcyO8VVk\nFJ0OvCL2QMdR2RJFKKNvBsWHkhS9kqrE7gPH6dzFq1Qwfy6JhZsb1rySyg71QEBpAjCglSYM\n+SAAAooT2LHnEI2aslCEgY6XjMXX4n1gn/bU4bNGivdtrw52/vMf/SDG+DrutTTG+DfxNKB3\ne+rY8t0YI168pG9H/iwOG14iL+HSLjY2lgrly01zJw4WhqZ538j2GkNi/fw0exmt3rRLW23h\nik1Ut0ZFmjVhkDaPx9j/h2lSSO6EMcaJMeYyGuMuwWukLi/xTPTv3Y46fd5YK0vOC1N6FcwX\nQPMmDrGaPUeUbNVrKEU8f6lVcezPv9LS6aOojDgoigQCIOB4Avg66/g5gAYgAAI2EAi8dJ2G\nTZhDUdExFBMbR9ExsRQnjMwp81bSPweP2yDZeZryGIeOn01RUdEUGxcnxpkwxqnzV9EenTEO\nGjNTWqF+I5bhowWP+Pg3dCPoHvUZPFH6cuE8IzLWZMuufXrGs6bGv/+dpGkLV2tuafDYWXQq\n8LL4pUEzxnhpjL0HvRvj+cs3aIghL+HV4+cFq2n3gWNaWXJeDB5nrNfNoPvUa9CPVrNv22e4\nnvHMesbExFGXfqPFsx0np9qQBQIgkEwCMKCTCQ7NQAAEnIPAivXbTSrCxuOi37aYLFNb5soN\nO0yqzCvui1b/LpXdfRBC/504J3150K38Wrhwu30vmE6eu6Sb7XTXc5etN6vT2t//ksruPQyl\nQ+yWTnxB0k08xjv3g6WVd85fuUE8E8ZxVCRDdvFq+Z+J+8FCr2Om9bp7P0Srl67O5q5PBl6i\np8+emyyOFeNetXGnyTJkggAI2JeAS2/h8PT0pAwZkr/njfeb+fs7d/hbc4+LZq+cmvVXs+48\nL2rWX02633sYRvG88dlEehjySFXzYO4zhw3HxMZ4+eY98hKfebw6bZi8PD0o4kWUoixs/cwJ\nN2M08lj41wV+Jq+IMXqKscSKXxoME+dHvIyU6knPhPgCZSo9CAkzycEce1MyDPMS0+vZiwS9\nDNuZur99d5+pbG3eXfG8G/77tJW9VriDLmxh7yCVtd3ai31UVJS2T1w4BwGXNqB5/19ERESy\nSfOHVGhoaLLbO7Jh1qxZRRQuN9XqD/aOe3rUxj5Xjqx04coN6Sd9Q2o5xCE6Nf0bNsc+gMco\ntiWYMqI1Y/ROY9p4Zia8tcUnfRpFWfj5+ZG7iIKYXN58wC9SbFExlTiaIMv1Tutl0njmNmxU\n+3inlerxM3FebHsxxStntqwmdTTH3pQ+hnmJ65V09vlyW160yS3GZsjYVvaG47H3Pf+9CgsL\ns3e3svTH7D08PIzmRBbhOkK8hH93b29vnRxcOpoAtnA4egbQPwiAgE0E+BCdiV/rpS+Q3ds1\nt0m2szTu1LKxSVX4S7JmjBw0pHrF0uKPuX4ob3d3N8obkJ0qliluUoazZH7V5XOzqrRpXl8q\ny5XDnzhMt6cwWHQTjzF3QDYRZCZhjB0t8mqm21SWa9arZuWyxuzF/LBelcuVSHI/FUsXF5Ej\nTf9yynPbrsXHSZaFiiAAAsoRgAGtHFtIBgEQsAMB9krw4/CviFcpeQtDauF9wkOshH73RQf6\n8L3KdtBA+S5KFy9EE7//Whojb1XgcfJqL3saqVerilaBKaP6Ebu3S5UqFaUWPNjALpA3gBZO\nGSZdays64UXzhu8L47ChkWZ1qlekAX06aPMn/9CXypUqYjzGycO1YyxVrCD9NOIbI17staRe\n7apaWXJesF7lS+mzz8/sdfRKan9rF/5IGdKn06vO23CWzRglvKvof3nQq4QbEAABuxFIJU4y\nm94oZjcVlOsoPDycIiMjk92BLT/pJbtTmRpqtnCEhITIJNG+YsDevrx1e1Mre/aRfD3oobSV\ng/1A28Pnry43Oa4TY89jZA8UfGiuXEnzfo2v3AiiO+LgIG/vKFnUPn6gNdsIbP3MCX30hDbt\n+EdsyXhNTRq8R/lzB5hEe/XmHeHrOsEPNBvM/KXBMOnyKluyMGXy9TGsor1PjL22YiIXSdEr\nERHa4r/3H6WzF65RQeGmr/lHtbVfELQV3l7Ixd5Qrr3uXWELR3BwsKK4eAtHlixZFO0Dwq0j\nAAPaAi+5PlAtdKFYEQxoxdAmKhjsE0WkWAW1GxJq/swBe8Ue60QFq509DOhEp1j88gADOnFK\n9q2BLRz25Y3eQAAEQAAEQAAEQAAEVE4ABrTKJxDqgwAIgAAIgAAIgAAI2JcATiPYlzd6AwEQ\nAAEQsJFAnIgqeOjYGbot9kDzPu/a1SpIBwZtFOuyzXV5cUj396uDl8tONgZmNwIwoO2GGh2B\nAAiAAAjYSiA49BH1GDie7gc/Ep5I3OiNiMaYIb238DQynIoWzGureJdrHxz2mHoMGE8PgsPI\nTeL1htILf9m/TP0evFxutjEgexLAFg570kZfIAACIAACNhHoN/Jn4siMcXFxFC0iFHKQmCfh\nEfTFkJ/MBlmxqUOVN/5W4hVCsVpesVKo8D6DJ1JMjHHUSpUPF+qDgN0IwIC2G2p0BAIgAAIg\nYAuBm3fu06VrtyQ3frpy2BsrhwI/cipQNzvFX9+684AuXr1pkteziBeC1/kUzwgAQCC5BGBA\nJ5cc2oEACIAACNiVQNijpyJIjumdh7ydI+xxuF31cfbOwh4zL/3IlBqdmdcjUY4EAiCQPAIw\noJPHDa1AAARAAATsTCB/npzSVgRT3caKrRwccATpHYEEXq/fZehc8daXAuClQwSXIGAdARjQ\n1vFCbRAAARAAAQcR8PfLTM0a1CZPD/1VaA8Pd+KQ7mXFC+kdgaxZMlEzEcHQNK9CUjTLd7Vx\nBQIgYA0BGNDW0EJdEAABEAABhxIYNbAnNW1QSwrdrQnfXbNyWZozcbBD9XLWzkcN6CkZ0cxK\nw6tGpTI050fwctY5g17qIKD/NV4dOkNLEAABEACBFErAy8uTxgzqTQP6tKd7D0IpW9bM5Jc5\nYwqlkfiwmdfo73pR/97twCtxXKgBAkkmAAM6yahQEQRAAARAwFkI+GZIT75F0zuLOk6vB3g5\n/RRBQZURwBYOlU0Y1AUBEAABEAABEAABEHAsARjQjuWP3kEABEAABEAABEAABFRGAAa0yiYM\n6oIACIAACIAACIAACDiWAAxox/JH7yAAAiAAAiAAAiAAAiojAANaZRMGdUEABEAABEAABEAA\nBBxLAAa0Y/mjdxAAARAAARAAARAAAZURgAGtsgmDuiAAAiAAAiAAAiAAAo4lAAPasfzROwiA\nAAiAAAiAAAiAgMoIwIBW2YRBXRAAARAAARAAARAAAccSgAHtWP7oHQRAAARAAARAAARAQGUE\nYECrbMKgLgiAAAiAAAiAAAiAgGMJwIB2LH/0DgIgAAIgAAIgAAIgoDICMKBVNmFQFwRAAARA\nAARAAARAwLEEYEA7lj96BwEQAAEQAAEQAAEQUBkBD5XpC3VBAARAAAQsEJi5cCX9unIDxcfH\nU6pUqahR/fdpyuiBFlqgCARAAARAwFoCMKCtJYb6IAACIOCkBNr3HkynAy9ptXvz5g1t/2sv\nnTx7nv7ZvFSbjwsQAAEQAAHbCGALh2380BoEQAAEnILAo6fP9IxnXaWCQx7R7n2HdbNwDQIg\nAAIgYAMBGNA2wENTEAABEHAWAiN/nGlRlcmzF1ssRyEIgAAIgEDSCcCATjor1AQBEAABpyXw\n4sVLi7pFRcVYLEchCIAACIBA0gnAgE46K9QEARAAAacl8G2vjhZ1+6TRBxbLUQgCIAACIJB0\nAjCgk84KNUEABEDAaQlULF+K0qVNY1I/N7dUNODLLibLkAkCIAACIGA9ARjQ1jNDCxAAARBw\nSgIn9qyn7Nn89HTLkN6bzh/cqpeHGxAAARAAAdsIwI2dbfzQGgRAAAScigDc1TnVdEAZEAAB\nFyWAFWgXnVgMCwRAAARAAARAAARAQBkCMKCV4QqpIAACIAACIAACIAACLkoABrSLTiyGBQIg\nAAIgAAIgAAIgoAwBGNDKcIVUEAABEAABEAABEAABFyUAA9pFJxbDAgEQAAEQAAEQAAEQUIYA\nDGhluEIqCIAACIAACIAACICAixKAAe2iE4thgQAIgAAIgAAIgAAIKEMABrQyXCEVBEAABEAA\nBEAABEDARQnAgHbRicWwQAAEQAAEQAAEQAAElCEAA1oZrpAKAiAAAiAAAiAAAiDgogRgQLvo\nxGJYIAACIAACIAACIAACyhCAAa0MV0gFARAAARAAARAAARBwUQIwoF10YjEsEAABEAABEAAB\nEAABZQjAgFaGK6SCAAiAAAiAAAiAAAi4KIFUb0Ry0bGl6GF16dKFnjx5Qlu3bk3RHBwxeLB3\nBPWEPrt27UqPHj2ibdu2OU6JFNpz9+7dKTg4mLZv355CCThu2D169KAHDx7Qjh07HKdECu25\nZ8+edO/ePdq5c2cKJZByh+2Rcofu2iPnP2SPHz927UE66ehCQkIoNDTUSbVzbbWYPT/7SPYn\nwOzZiEOyPwGwtz9zTY/M/v79+5pbvKcgAtjCkYImG0MFARAAARAAARAAARCwnQAMaNsZQgII\ngAAIgAAIgAAIgEAKIoAtHC462dWrV6eIiAgXHZ1zD6tatWr07Nkz51bSRbVj9k+fPnXR0Tn3\nsKpWrSqdu3BuLV1TO2ZfsGBB1xyck4+K2efPn9/JtYR6ShDAIUIlqEImCIAACIAACIAACICA\nyxLAFg6XnVoMDARAAARAAARAAARAQAkCMKCVoAqZIAACIAACIAACIAACLksAe6BdcGrZldSB\nAwfI3d2datSoQTlz5nTBUTrnkG7cuEFHjhyhgIAA4r1xadOmdU5FXVirEydOUHh4ONWrV8+F\nR+k8Q7t+/TrdvHlTT6HMmTNTpUqV9PJwowwB5n/y5Eny9fWlWrVqkbe3tzIdQaqWwLlz5+jh\nw4fae92L9957D3OgC8SFr7EH2sUmd+TIkXT06FHpg/TWrVsUFBRE48ePJz5UiKQsgdGjR0t/\nyPhLC3/ApkuXjqZNmyb9YVO2Z0jXEGCfrJ07d6ayZcvSpEmTNNl4V5DAuHHj6ODBg5QhQwZt\nL6VLl6ZRo0Zp73GhDIFNmzbRggULqGbNmpL/86tXr0r3hQsXVqZDSJUIzJo1i/bv369H4/nz\n5/Tq1SvasGEDZcuWTa8MN65JACvQLjSvV65ckf5Rr1+/nvz9/aWRjRkzhvgfOwxoZSc6MDCQ\n9u7dS2vWrKEcOXJQTEwMtWjRQopO1aZNG2U7h3SJQHx8PLExlypVKhCxIwE22jgaW8uWLe3Y\nK7pibzNz586loUOHUv369SUgEydOpKVLl9KPP/4IQAoS6Nu3L/FLk9hw5gi0TZs2hfGsgZIC\n3mFAu9Ak8wcqh9PVGM88tPLly0uGHUdsh2Gh3GT7+flJK55sPHPy8PAgHx8fuPVSDrmRZP7y\nws/4Bx98IIXzNqqADNkJREdH0507d6ho0aKyy4ZAywQ4bHeuXLm0xjPXZqMuMjLSckOUyk5g\n3rx50na9Xr16yS4bAp2XAAxo550bqzVjH7j80k179uyh4sWLw3jWhaLANRvOGuOZ9yTyHzf2\nBf3RRx8p0BtEGhLgX1/YgF60aBGtWrXKsBj3ChHgbWK88s/7/mfMmEEvXrygunXrUteuXSl1\n6tQK9QqxTODu3buUN29eOnTokPR5ExUVRR9++CE1atQIgOxI4PTp07RlyxZavHgxeXl52bFn\ndOVoAjCgHT0DCva/bt06Onv2LC1cuFDBXiBal0BYWBh99dVX0l64Jk2aUO7cuXWLca0AAV4F\n5a0bzD179uwK9ACR5ghcu3ZNKuI5YP58gHPz5s3SLy/Dhw831wz5MhDgzxo+yMZbaPiz5vbt\n2zRlyhQpkFD79u1l6AEikkKA/85WqFCBihQpkpTqqONCBGBAu9Bk6g5lyZIltHr1apowYQJ+\nXtUFo/B11qxZ6c8//yRehWajbsSIETR58mSFe03Z4nkfKK/EffzxxykbhANG36BBA8nbhubX\nFzYk2PvPsmXL6Ouvv5a2MTlArRTR5evXr+nevXvEZ140h9b4IOfy5cupbdu25OYGL7VKPwiP\nHj2iw4cP09ixY5XuCvKdkAD+hTnhpNiiEv+cyqsQ/K146tSp0ulsW+ShbfIIFCpUiFq1akXH\njh2jly9fJk8IWiVKgL1u8Ion7/8fMmSI9OLtBJcuXZKu2Z0dknIEeJuGxnjW9KLZRhYcHKzJ\nwrsCBPjLOm/P0xjP3AW7UOM90E+ePFGgR4g0JLB9+3bKkiUL/s4agkkh91iBdrGJ5lVP3rYx\nf/58KlCggIuNznmHw19Y2HCbPn26Vkk2nPkLDQ5vapHIfsF+tnv06KEnl40HZl+iRAny9PTU\nK8ONvATYZdfx48f1XAby5w8/84aGtbw9Qxp/vjN73QPi7IeeV6HZqENSngC7jOUvLXxoHCnl\nEcAKtAvN+c6dO2n37t2SOx32Scl/yDQv/rkPSTkCderUIT5Msm3bNoqLi5O4b9y4kTif/UEj\nKUOAPZ2w32fdF3uE4L3nnIegEspw10hln+dsRPAhKn7uOaAHXzds2FDPL7SmPt7lI8D7nnm1\nmf1As9tM3gu9detW6RAnvrTLx9mSJN53nj9/fktVUObCBBBIxYUml13Y8YeoqcT7cmHImSIj\nXx5vJWB3RrzqzH/Q2DfrgAEDKH369PJ1AkmJEuCtS3zACoFUEkUlSwXeg/vLL79Izz1/UWfP\nM/zcwwuHLHgtCrlw4YJ01oKfd16J5kiEfO4Cv7xYxCZLIW8ba9asGc2ZM0cK3CSLUAhRFQEY\n0KqaLijr7AR4FY73fvJPqAjj7eyzBf3kIsDPfWhoKLE/dLjykotq0uXwYTbeuoEvLUlnhpog\nYCsBGNC2EkR7EAABEAABEAABEACBFEUAe6BT1HRjsCAAAiAAAiAAAiAAArYSgAFtK0G0BwEQ\nAAEQAAEQAAEQSFEEYECnqOnGYEEABEAABEAABEAABGwlAAPaVoJoDwIgAAIgAAIgAAIgkKII\nwIBOUdONwYIACIAACIAACIAACNhKAAa0rQTRHgRAwKUIREdHU1BQkDYEe1RUlHT/6tUrRcb5\n4MEDyfWhIsIhFARAAARAQBECMKAVwQqhIAACaiVw4sQJypcvH3GYak579+6V7nfs2KHIkDjw\nyCeffKKIbAgFARAAARBQhgAMaGW4QioIgICLEODgIBxVMlu2bC4yIgwDBEAABEDAVgIetgpA\nexAAARBwZQKVKlWiv/76y5WHiLGBAAiAAAhYSQAGtJXAUB0EQMC1CBw4cIC2b99ODx8+pA8/\n/JAKFCigN8Dr16/TypUrqXXr1lSiRAmp7O7du7Ro0SK6ePEi+fr6UunSpal79+6UPn16bdtf\nfvlFKqtatSotWbKErl27RrVr16ZmzZpRQECAth4uQAAEQAAE1EcAWzjUN2fQGARAQCYCU6ZM\nkYzaXbt20YsXL2jAgAHUr18/PelsQI8dO1YylrmA78uXL0+zZs0iPlh49epV+u6776hcuXL0\n+PFjbVs2sCdOnEg1atSgf//9l7y9vWncuHFUpkwZunXrlrYeLkAABEAABNRHAAa0+uYMGoMA\nCMhAgFeehw0bRl9++SWdPn2aNm7cSIGBgRQeHm5ROq8sP3/+XKrLK9f79++n3377jW7cuEFr\n1qzRa3v27Flq3749cV9sUHM/bEh/+umn9ObNG726uAEBEAABEFAPARjQ6pkraAoCICAjgd9/\n/53c3d2lVeFUqVJJknPkyEFDhw612IubmxvFxMTQwYMH6fXr11Ldzz//XNoC8vXXX+u1zZQp\nE40ePVqbxwcR+/fvT2fOnJEMbm0BLkAABEAABFRFAAa0qqYLyoIACMhFgFeHc+XKRZkzZ9YT\nWbFiRb17wxve68x7mNu2bUv+/v7Upk0baY90unTpDKtSyZIlpRVn3QLewsGJV6ORQAAEQAAE\n1EkABrQ65w1agwAI2EiA9yvrHvrTiDM0qDX5mvfChQvTyZMnafz48cTX69evp06dOknXhw4d\n0lST3jNmzKh3zzcaQ/vZs2dGZcgAARAAARBQBwEY0OqYJ2gJAiAgMwE+9Hfnzh0jqRwZMLHE\nWzO+//57OnLkCIWFhdGCBQvo0aNHRts/7t27ZySKoxxyqlChglEZMkAABEAABNRBAAa0OuYJ\nWoIACMhMgN3L8YHBrVu36klet26d3r3hDbuzy507tzbUN69Y9+7dm4oVK2YUkvvcuXN06dIl\nPRErVqygtGnTUqlSpfTycQMCIAACIKAeAjCg1TNX0BQEQEBGAt26daP33nuP+J29aFy4cIEm\nTJhAv/76q8VeBg4cSKGhodShQwfJf/TRo0dpyJAhkps7Pkyom+Lj46l58+bEbvJ4zzV7/ODr\nxYsXk5eXl25VXIMACIAACKiIAAKpqGiyoCoIgIB8BNiA3bx5sxQApUePHhQZGUk5c+ak5cuX\nU6tWrcx2VKVKFWn/808//UTsyYOTj48PDR8+XPLooduQA69wGPCmTZtSXFycFKSF/UfzAUQk\nEAABEAAB9RJIJXyRwhmpeucPmoMACMhAgI1n3vtcsGDBJEtjV3YckZATRy/UuMLTCGBDOzo6\nWlp55oArwcHBRlEONXXxDgIgAAIgoC4CMKDVNV/QFgRAQCUEdA1olagMNUEABEAABJJIAHug\nkwgK1UAABEAABEAABEAABECACWAPNJ4DEAABEFCAQMOGDaV9zwqIhkgQAAEQAAEHE8AWDgdP\nALoHARAAARAAARAAARBQFwFs4VDXfEFbEAABEAABEAABEAABBxOAAe3gCUD3IAACIAACIAAC\nIAAC6iIAA1pd8wVtQQAEQAAEQAAEQAAEHEwABrSDJwDdgwAIgAAIgAAIgAAIqIsADGh1zRe0\nBQEQAAEQAAEQAAEQcDABGNAOngB0DwIgAAIgAAIgAAIgoC4CMKDVNV/QFgRAAARAAARAAARA\nwMEEYEA7eALQPQiAAAiAAAiAAAiAgLoI/B+34DSivhJNDwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# cty is a continuous variable, so when mapped to color we get a gradient with bins instead\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,color=cty))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Continuous vs discrete scales\n",
    "\n",
    "Generally continuous scales get chosen for numerical data and discrete scales are chosen for categorical data. If your data is numeric but in discrete categories you may have to use `as.factor()` in order to get proper levels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR while rich displaying an object: Error: A continuous variable can not be mapped to shape\n",
      "\n",
      "Traceback:\n",
      "1. FUN(X[[i]], ...)\n",
      "2. tryCatch(withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler), error = outer_handler)\n",
      "3. tryCatchList(expr, classes, parentenv, handlers)\n",
      "4. tryCatchOne(expr, names, parentenv, handlers[[1L]])\n",
      "5. doTryCatch(return(expr), name, parentenv, handler)\n",
      "6. withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler)\n",
      "7. repr::mime2repr[[mime]](obj)\n",
      "8. repr_text.default(obj)\n",
      "9. paste(capture.output(print(obj)), collapse = \"\\n\")\n",
      "10. capture.output(print(obj))\n",
      "11. evalVis(expr)\n",
      "12. withVisible(eval(expr, pf))\n",
      "13. eval(expr, pf)\n",
      "14. eval(expr, pf)\n",
      "15. print(obj)\n",
      "16. print.ggplot(obj)\n",
      "17. ggplot_build(x)\n",
      "18. ggplot_build.ggplot(x)\n",
      "19. by_layer(function(l, d) l$compute_aesthetics(d, plot))\n",
      "20. f(l = layers[[i]], d = data[[i]])\n",
      "21. l$compute_aesthetics(d, plot)\n",
      "22. f(..., self = self)\n",
      "23. scales_add_defaults(plot$scales, data, aesthetics, plot$plot_env)\n",
      "24. scales$add(find_scale(aes, datacols[[aes]], env))\n",
      "25. f(..., self = self)\n",
      "26. find_scale(aes, datacols[[aes]], env)\n",
      "27. scale_f()\n",
      "28. stop(\"A continuous variable can not be mapped to shape\", call. = FALSE)\n"
     ]
    },
    {
     "data": {
      "image/png": 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AECBAgQICCg/QABAgQIECBAgACBICCg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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# if we try to map cyl to shape we get an error because shape is only for discrete variables\n",
    "# even though we only have cyl=4,5,6 or 8\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,shape=cyl))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
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       "\t<li>6</li>\n",
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       "\t<li>4</li>\n",
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       "\t<li>6</li>\n",
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       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
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       "\t<li>8</li>\n",
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       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
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       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>8</li>\n",
       "\t<li>8</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>5</li>\n",
       "\t<li>5</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>5</li>\n",
       "\t<li>5</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>4</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "\t<li>6</li>\n",
       "</ol>\n",
       "\n",
       "<details>\n",
       "\t<summary style=display:list-item;cursor:pointer>\n",
       "\t\t<strong>Levels</strong>:\n",
       "\t</summary>\n",
       "\t<ol class=list-inline>\n",
       "\t\t<li>'4'</li>\n",
       "\t\t<li>'5'</li>\n",
       "\t\t<li>'6'</li>\n",
       "\t\t<li>'8'</li>\n",
       "\t</ol>\n",
       "</details>"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 8\n",
       "\\item 8\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 5\n",
       "\\item 5\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 5\n",
       "\\item 5\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 4\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\item 6\n",
       "\\end{enumerate*}\n",
       "\n",
       "\\emph{Levels}: \\begin{enumerate*}\n",
       "\\item '4'\n",
       "\\item '5'\n",
       "\\item '6'\n",
       "\\item '8'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 4\n",
       "2. 4\n",
       "3. 4\n",
       "4. 4\n",
       "5. 6\n",
       "6. 6\n",
       "7. 6\n",
       "8. 4\n",
       "9. 4\n",
       "10. 4\n",
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       "18. 8\n",
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       "33. 4\n",
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       "35. 6\n",
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       "38. 4\n",
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       "221. 6\n",
       "222. 4\n",
       "223. 4\n",
       "224. 4\n",
       "225. 4\n",
       "226. 5\n",
       "227. 5\n",
       "228. 4\n",
       "229. 4\n",
       "230. 4\n",
       "231. 4\n",
       "232. 6\n",
       "233. 6\n",
       "234. 6\n",
       "\n",
       "\n",
       "\n",
       "**Levels**: 1. '4'\n",
       "2. '5'\n",
       "3. '6'\n",
       "4. '8'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  [1] 4 4 4 4 6 6 6 4 4 4 4 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 6 6 6\n",
       " [38] 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n",
       " [75] 8 8 8 6 6 6 6 8 8 6 6 8 8 8 8 8 6 6 6 6 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4\n",
       "[112] 4 6 6 6 4 4 4 4 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 4 4 4 4 6 6 6\n",
       "[149] 6 6 6 6 6 8 6 6 6 6 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 8 4 4 4 4 6 6\n",
       "[186] 6 4 4 4 4 6 6 6 4 4 4 4 4 8 8 4 4 4 6 6 6 6 4 4 4 4 6 4 4 4 4 4 5 5 6 6 4\n",
       "[223] 4 4 4 5 5 4 4 4 4 6 6 6\n",
       "Levels: 4 5 6 8"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# will transform into categorical variable with levels\n",
    "as.factor(mpg$cyl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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9ucOXOsU6dOqfRly5bZxIkTU/vaWHvt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\n8cWoq6oR5YX2gVbHapl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Alce+211S70gAMOcJNG9UDVunVr5/8edZzTaitJARCA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\ntjgAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# all is well when we use as.factor()\n",
    "ggplot(data=mpg) + geom_point(mapping=aes(x=displ,y=hwy,shape=as.factor(cyl)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that this means x and y are aesthetic mappings as well. In fact without them you will get an error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR while rich displaying an object: Error: geom_point requires the following missing aesthetics: x, y\n",
      "\n",
      "Traceback:\n",
      "1. FUN(X[[i]], ...)\n",
      "2. tryCatch(withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler), error = outer_handler)\n",
      "3. tryCatchList(expr, classes, parentenv, handlers)\n",
      "4. tryCatchOne(expr, names, parentenv, handlers[[1L]])\n",
      "5. doTryCatch(return(expr), name, parentenv, handler)\n",
      "6. withCallingHandlers({\n",
      " .     if (!mime %in% names(repr::mime2repr)) \n",
      " .         stop(\"No repr_* for mimetype \", mime, \" in repr::mime2repr\")\n",
      " .     rpr <- repr::mime2repr[[mime]](obj)\n",
      " .     if (is.null(rpr)) \n",
      " .         return(NULL)\n",
      " .     prepare_content(is.raw(rpr), rpr)\n",
      " . }, error = error_handler)\n",
      "7. repr::mime2repr[[mime]](obj)\n",
      "8. repr_text.default(obj)\n",
      "9. paste(capture.output(print(obj)), collapse = \"\\n\")\n",
      "10. capture.output(print(obj))\n",
      "11. evalVis(expr)\n",
      "12. withVisible(eval(expr, pf))\n",
      "13. eval(expr, pf)\n",
      "14. eval(expr, pf)\n",
      "15. print(obj)\n",
      "16. print.ggplot(obj)\n",
      "17. ggplot_build(x)\n",
      "18. ggplot_build.ggplot(x)\n",
      "19. by_layer(function(l, d) l$compute_geom_1(d))\n",
      "20. f(l = layers[[i]], d = data[[i]])\n",
      "21. l$compute_geom_1(d)\n",
      "22. f(..., self = self)\n",
      "23. check_required_aesthetics(self$geom$required_aes, c(names(data), \n",
      "  .     names(self$aes_params)), snake_class(self$geom))\n",
      "24. stop(name, \" requires the following missing aesthetics: \", paste(missing_aes, \n",
      "  .     collapse = \", \"), call. = FALSE)\n"
     ]
    },
    {
     "data": {
      "image/png": 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AECBAgQICCg/QABAgQIECBAgACBICCg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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data=mpg) + geom_point()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## `<GEOM_FUNCTION>`\n",
    "\n",
    "```\n",
    "ggplot(data=<DATA>) +\n",
    "    <GEOM_FUNCTION>(mapping=aes(<MAPPINGS>)\n",
    "```\n",
    "\n",
    "**geom** geometrical object plot uses to represent data. Bar charts use bar geoms, line charts use line geoms, boxplots, etc. Scatterplots use point geoms. Full list of geoms provided with **ggplot2** can be seen in [ggplot2 reference](https://ggplot2.tidyverse.org/reference/#section-layer-geoms). Also exist other geoms created by [other packages](http://www.ggplot2-exts.org/gallery/).\n",
    "\n",
    "Every geom function in ggplot2 takes a `mapping` argument with specific aesthetic mappings that are possible. Not every aesthetic will work with every geom. For example, can set shape of a point, but not shape of a line. However, can set linetype of a line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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YV/Tpb+gQivquEstFe4mJkESIAESIAE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aO/rJ0/8aI698ONIjTF1hTp3cf/06GZIR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\nQAIRTuD/Axj9QYB+0fwHAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data = mpg) +\n",
    "  geom_smooth(mapping = aes(x = displ, y = hwy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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ghPgAp0eEZxrwEFGoo0CwmQAAmQAAmQ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UAMlNgFwuuSHAP/1yQw/cEAgQ2iX0FpOE\nHgjtgg0hNgb3KtuyJVmSVaxuSf7PO2ZWs6td7c7s7O6U9/hZ75QzZ875ndHsO9985zt4BT+U\nO0lgfq57jwCuEbwxQZQNu4rnpr2p8rsXDvITzxlpvXLNOasonr13ybLFNiJgCwGNwRrPP/+8\nvPTSS+rAjUA+mG7yzTfflBdffFG2b98euJvrLicQzQQbLkdjy+bhjUHg9N5pqf0yXRHRWlq3\nLVN69h2IpqJt074xCNEqMYPX8S0tLVrR/CYBHwG87cB03HacGMVXSWUhL7tHTjtqm29TUV6H\n3Hjxcpk5YeDvybeTCyRAAnEjkHAB/fOf/1wuu+wy2bBhg7z++uty8cUXy9KlS30Atm7dKosX\nL1bF9apVq+Tyyy+XZcuW+fZzwf0E9C4c7m+tO1qIabUD05xJDb5NfUrorerdA7FrfTu+XrDK\nCo3iYGG0YwzfwDZzPX4E8FAFY4zZiDHxq+mBM51yxHaZM0kZ+6E8hN50yXIpLuiMdxV4PhIg\ngQACCfWBXr9+vXz44YeqZVmL2/rrX/9a7r33Xpk/f75a1VtvvVXOPPNMufbaa9UR9U888YTc\nc8898txzz3GEfUBnunWVAtp5PZuZmalOza23JM+e2KgMINyv/Dtged5RlyFjCpuCNg6WY5Rh\nxQhzxJhGVI6ysrKg5+JG7xDQrgW81XRSUoYWyBVnrFPdoJQAD0wkQAI2IJDQP0W8Orviiiv8\nJj2YO3eu6rcI3zQMAlq7dq1qgcbgJKTTTz9ddfNYs2aNDfCxCvEgQAEdD8rWnkMbTKgvNWtE\nr1SUtUqyMvhpSnmbYkXr0u/2W8bfv5VWaAwSoyuHH2LPreB6qqqqEruKZ+WSVyZFOfA7F6xz\nUof3Kw+UwfZwGwmQQCIIJNQCfcQRRwg++vTuu+/KtGnTVOuyNgCotLTUl6WgoEANc7V7926Z\nMWOGbztujFdddZVvHQvf//735ZRTTvHbFskKrF4QAFaE04rkfNHk0Sx0iDYQ6HcaTbmxOhb+\nzBgUCIEUadIG+uiP0a6DSMswk0/zvR41apSZw+N+DK4FO9UV1yT8TPXpB+dUS272Pkkb3qM8\nKHco18GBSXH0ebRlWAsxOYt2jWvbzX7Dqj1u3DjDUTmceD/AvQAWfLsn/I3hPqv/27a6zriO\n8FuCCXYw0Y/ZpBlxYnGfbetIkQdfrpBs5SHz++dUma2i33Gobyzq6ncSC1fwu2Cn+5eFTWNR\nLiWQUAEdyBQDCVeuXCkPPfSQugsxOdPS0tSPPi9+mAMHfmjTrurz4QdTE0H67eGWtRulmWPD\nlR2r/VaJjFjVTysXbMHV6A8mfmT1YgxlxLp/nHgdxJqJ1o+RfEP8QsTpLcllRd3qoUrIXTVp\njIOVh2sEx+Lv3YqE8nBPqaioMFScVkc7sQ3XALffD8K1X9uP6wcDBfFboPWjts/ot3a89m30\n+FD5N+4YIfc+VymNLalqlknj2uWEwwbGC4Q6LpLtVtc1knOazYO6OulvzGw7eZx7CNhGQD/2\n2GPy9NNPy29+8xuZMmWKShhPpMEG/8CvEj/O+jRx4kRZvny5fpNqcYDvo9EEKwUEW2trq9FD\n454fHBB3F6+nnTAgBiHO8KOmF8ORQMMreH378AYi1uHtMAkHHuDMXEORtMnqPBhHAC52SrD+\nBXtljim7sS/cdYD9yGeVIERdEGcafzORJu0h3kn3A9QVotHuCf2Aeoa7Doy2Aw9LiEUON0Cr\nEu61uOcEu57NnuOdf5bJn9+vlL7+Ad+Mp14vkxnjdwhcnqJJePC0sq7R1CXcsWCLayAwfny4\n4yLdX1ISJOh8pAczHwmEIJBwAY0fx9/+9rfyzjvvyF133SXwgdYSXudALENw6QUzfhz4B6FR\n8sY3LRPO7Ge8QkYUDLMJ9wcILCvdEfCQoYkhs/XicfYl0N3drT706h+47Vbbts5h8sRrU+TL\nzf7uYSMze+TKM9dELZ7t1l7WhwTcSCDhAvrmm29W3TYeeOABqays9GM8ZswYdT751atXy7x5\n89R9GFSIH1W9X7TfQVxxJYFYW5tdCc0GjUK/wdocjTUUD9AowyortObKAX9oJvcQ0KzOsGJi\n2a5pw44cefRv06R5r7///9TxyqD6M9bKyMx9dq0660UCJKAjkFAB/cYbb6iW5+uvv1591QT/\nZy3NnDlTfc164oknyuOPP64OLEQ0hkceeUROPvlkKSws1LLy2wMEGInDuZ2MV8nRCGg8MMOa\nqH8LFS0NlIdxFHl5edEWxeNtQAD9CVcrWJ/tmpTLWF77ZLz62b9/INoGQjtiohR8kgc227UZ\nrBcJkMDXBBIqoDHzINKdd975dXUGvt566y31BxORNBAb+owzzlD9UWfPni0//OEPBzJyyRME\n6MLh3G6GG0cw3+zW9mFStStDahoy5Zg5NUqM29BWQ/jAwwpt5aCohoYG9R4DH2cmZxLAwxX8\nnBFhw85W54bmdHn01amyZae/731OVrdccfo6mTK+2ZkdwFqTgIcJJFRAP/roo2HRw0L0P//z\nP+qAPogoK30hw56cGWxDgBZo23SF4Yqg7yBS9dbBZV/lyjsfH4g6gAJrG0fImKL2kGVrvtBW\nWqE1V47x48dbKsxDNoI7LCWAhyo8mGFQqJ3TstVF8uzbk6Srx//ndmZlo3zntHX0d7Zz57Fu\nJDAEgYGhv0NkssMuTA1M8WyHnkhMHSigE8PdqrMGxqOdrITq0qddDf5RdfT7tGUIJqutjBj5\nH8w6rp2T3/YjgMhMCEe4c+dO24vn1vbh8kyAeB6W0i/nHb9Jrjl3FcWz/S4v1ogEIibgGAEd\ncYuY0ZUEKKCd3a2BAjo/Z5/kjRyYZGVnfVbYBmpW6LAZDWZACMi2tjaDRzF7Igigr6qq7Dub\nYCATDAj89gmbfJtLCtrlxkuWywnzdipvPXybuUACJOBAAv7vlBzYAFbZGwTgvgP/V6stkN6g\nl/hWwoUDETn0r9vLijqlqfWAG0d753BpaRsuOVlDv46PhS806GCmuvLycjXqT+JpsQaBBBCJ\nBeEQ9W5AgXnsun7krDr5clOBEl2jR85dsEUwJTcTCZCA8wnQAu38PvRMC2iFdnZXB7pgjSn0\nn+ijpjH81NNaRA6rSaDcXbt28QHNarBRlgfBDFeN6upqR4pnrfnfW7xGLjxxE8WzBoTfJOAC\nAhTQLuhErzSBkTic3dOBAnp0fpcSeWPAGheJHzQIwN0iFm8iEAqN/tD2uMZgcYZo3rZtm+Ct\ng51Tz75kefn9CmUq7tDRXJL5S2vnLmTdSMAUAbpwmMLGgxJBgBboRFC37pyIoKF3w1G8cmTM\n6DZlttEkKS3okJLCyISS5gttZUQOrZXwsU1PTzc01bd2LL+jI4AHGDwcadOtR1dafI7GpCh/\nen2K1DdnyLaabLnu21/Stzk+6HkWEkg4AQrohHcBKxApAQroSEnZMx/EM2I5w7qopaMPqtUW\nDX3HyhcalYAVOjU1Va2roUoxc0QEEEUDH0RAwQQ72iBOPBg5JXV1p8iSDyrk/RWlSpUPjAZc\nvz1P3l9eKgsO2eWUZrCeJEACURCggI4CHg+NLwG6cMSXdyzOBjcOvYA2ew7NFxqC3OqkxYce\nO3asOvDR6vK9VB5EMvobvsywMGNd736D/sM2J4nnrzbny9NvTZKmvel+XZmR1isZ6b1+27hC\nAiTgXgIU0O7tW9e1DFEcmJxNwEq3C1ih4W5h5eyEGl1YSDF4DSKayTgB8MNMj62trcYPtukR\nLW3D5Jm3xssnXw6e/n3WhEa56KQNkpc9EJrRps1gtUiABCwiQAFtEUgWE3sCtEDHnnGsz4Bw\ndla54vT19amWy1hdF7CMYsKOysrKWGNxVfl79uwRfJxkVR6qA/YrM8z/38pi+fMHE6Sjy/8n\nMzN9n5yvxHk+YsbuoYrgPhIgARcS8L8buLCBbJJ7CFglvNxDxJktgRVaHw/azq2A+wFEdEVF\nhZ2raYu64YEGrKxw0bFFg5RK7KofIU+/PVk2VecMqtK8abvlW4p4zh4xdOzyQQdyAwmQgCsI\nUEC7ohu90YhYWRq9Qc8+rYQfdHNzc8gK9SsWv2QbzdKGQW51dXUcVBiyx0T1b0YcbbhuuCHB\n6vxnZZDgO5+Nlf79/hdj/sguJabzRpk1YY8bmso2kAAJmCRAAW0SHA+LPwFYoPVh0OJfA57R\nCgIYOBYooPcoMxJW786SWmUylU4lwsHiY6usOJVlZWAWvJEjR0pubq5lZbqhILhpNDU1qS4b\n+sGBTm+bEjBGmRkzzU88JyXtl1OPqpeT5q2XtFTnRAxxel+w/iRgVwIU0HbtGdYrKIFkZUYC\nvCpmci4BDAZFmDh9qqoZKWu25vs2tbYPV6Y+ttercYS3w1uQ7OxsXz29vIABghgo6Barc2Bf\nnrtgszoFd2f3MCkvaZUrF2+XieN6lbB7FM+BrLhOAl4kQAHtxV53cJthhaaAdnAHfl31wGgc\nJaPa/QR0beMIRUC32K6htbW16iDIWITPs11jg1QIFmcIZ7xBwCBLNyc8wH1r4SbZ15ssR8+p\nkazMEUpzGQnIzX3OtpGAEQIU0EZoMW/CCUBAI6Ysk7MJBE7rXZTbKcnJ/UrkhgNzHtcoAnry\nOPsJaLgpILzduHHjBlnRnd0joWsPCzMmPMHgQMwS6KboGp+tKZKDp9TL8GGK03OQNH9WXZCt\n3EQCJEACIhTQvAocRYCROBzVXSErGyigMa13oSKi6/ZkqsfU7RmhTLihzPHmP34rZHnx3AEB\nWV1drYpot16PeFCAlRkfp0RMMXINbKoeKS+8O1G21WZLQ3O6nHbUdiOHMy8JkAAJUEDzGnAW\nAbcKFmf1QvS1RTxo+LPrU3HBgIDu2ZeizPSWKvkj7ekmAKusNtFKYDv0bXLaMoQzoo40Nja6\n0lUKYvnP71fKv9YX+rrmzWXj5MhZtZJn02vNV1EukAAJ2IqA/y+YrarGypDAYAIMZTeYiVO3\nQETrU3FBh251/6CpknU7bbEIVyKEbnNT9AkMlMTHbeMMOrpS5KX3KuWXj8zzE8+4kHr7kmX9\ndkZXscUfFStBAg4iQBcOB3UWq6r4HCk+0EzuIBAYiaMgp0umjm+SorxOGZ3f4RcqrKM7Vdo6\n0yVt+D7Jyey0DQD4BSPEXVFRkW3qZLYiGBwI67ObUm9fkry/vFRe+2S8Movg4AGA0yv2yHnH\nb5bSUfqHNzcRYFtIgARiRYBqJFZkWW5MCNACHROsCSk0UEBj8pTplS2yY3eBfLJmnOxqzJO6\nplzZ25Euff2Kk7SSDp+2UU47fEXQ+kIsfbSyRCpLW2VMUZukxOn9GvyEEZovLy8vaL2csBHW\ndEwW45YE//l/ri2SVz4sl8aWjEHNKi5ol/MWbJGZnAxlEBtuIAESiIwABXRknJjLJgQooG3S\nERZUA6ITqaElS9ZtL5P11aWyXRHP+/eHVr5JEjxaAsrZUZclz/19EhYlI61XDprQqEZYmFG5\nJ2SUBTWzBf8hHjIeCAIHR1pQdMyLgLuGm1xRVm/JU2YRrFQn5gmElz2iR04/apscM2dX3B6w\nAuvAdRIgAXcQoIB2Rz96phV04XBHV3crYwM/+XKUvPlJpVTVjoq4UZgNLlTaumukbxcmv/h0\nzWj1kza8T46YWSvHH7JTMFAxFgl+0IgRjfB22oNBLM4TizJheXZLpI0VG0bJg0tmDMI0fFif\nnDCvWk4+fIekp3lrIiYYHfBwh+sS90/tg1ldMQAW30iILoMPrmUMktU+iPeNj5t8/QddINxA\nAiYIUECbgMZDEkdAf8NPXC145mgJ/PR3qfLussohi8lI7ZaSgmbJz26T7BGdkpXRJWWj9oQ8\nZmtN8BkCu5WIHh+sKFM+pTK9oklOPmK7TIlBjGlYcmtqamTs2LE+URKysjbZAZ/ntrY2m9Qm\n+mocNLFBDYdY33zAbQMPXEcpETZOP7pK8rLtGdEl+lYPlACxjEl+0tPTZcyYMWrcbqve2kFE\nw9UHMcHxoage4M4lbxKggPZmvzu61bRCO7r71MqfemyvIqAP+DVrrUlP7ZGJpbUyZewuGVfU\noAgeYwO7LjllvSw4eKdsrM6RLxRL5BbVIq0PJJ2kznaIKcNnVDbK2cdtVXyl27XTW/Ld1dWl\nTm9dWDgQJs2SgmNQCAQQBkC6KcHv/cxjtsqjf5sucyY1yDeP2xKztw524YZZPeE6hG99ZJus\nrCx18hur6gkrNj7aVPZ4YGxvb/d93DLBAoJWhQAAMIJJREFUjlW8WI77CVBAu7+PXddCCmjn\nd+mxh/ZLTtY+ZYBgikwdu1MOnbxFKkp2K36p/i4and0pkqxYEdNS+8M2GrPJVZbtVT8nHV6t\nxpH+17pC1fK8uwnTMA+k1VsKZM2WfMW1o07OUQaTZY/YN7AzyqWmpibVCggBY9ekuZw4RfRg\nUGBja5psUh6OVm0ukAllLbLgkF1B8c6bVi/F+f+SccXusawHNhSCGUIW31ZZmAPPEW4d5x05\ncqT6wfUEMY2ZKvFGg+4e4ehxvxsIUEC7oRc91oZE/WB4DHNMmztMMT5fc94myc1skp7OGr+4\nwz29ybJi/ShlVsIR0tqeKnOVqZZnKK4XRhNe2Z8wb6csPHSnrFLE8jv/HCPrtg1EytgvSbJ0\nVbEqxo6ZU2u0+CHzwx96/PjxtvWHxkQpsJbbIe3rTZI9LelKmMLh0tahfDqHSYvS7y1taWr/\n727KEEztjsl1tNS0Ny2kgIZLrxvFM9wyIFghnO12D4QfNR4Y8YFlWguJiLccTCTgVgIU0G7t\nWRe3ixZod3Tu1PI25RXzPmnpHe4noIen9Av8mXt7Dwim3XsyTAlojRIE1SwlXBk+G7bnyMvK\nTHRVNQcGHE4c0yJHz7ZWPOO8sOwisgX8oe02UyGshHv2hPYl17jF4/vztXly7/MHIqcYOd/m\nnSOlvWuYZKb3GjnMcXlx7UAw5+bm+rln2LkhEPcI6YgP4qTjWsM3Ewm4jQAFtNt61APtsZv1\nxQPIY9rEwAciCF5MprKr/oALxG5lQBhe4WN7tGmyMnjwpktWCFw7lnxQIRefvN6ScoPVCwOu\n4GM8evToYLsTsg1CBtbxeKWWNuXhqD9ZmZK9O+gp4cZjNGFg4ISyVtnbPty1AlqLKw6Ls90e\nwIz0F/yy8cHbDghpNw1YNcKBed1JgALanf3q6lZRQLure4OFfRutE9D7lFf3TYr/a35OcBFm\nhsYhU+tV1xBM3hLLhCgXePWek5MTy9NEVHY8px6H7/pzf58on64eLUcpFv6LT94QtI75I4d6\nxb9fFcj5I7ukRJkpEJ+yUe0ycWyLa4UzrpX8/HzVFSIoMIduRLtKS0tVIY2Y6bRIO7QjWW0/\nAhTQfji44gQCgRZLJ9SZdQxNIFh/FuX7x2uuU/xgrRTQqE048fynNybL+OK9snBedJEqdu/e\nrUYvQHixRCWI5507d6quJbGuw8YdOfLYq1NlT2u6eipERLnwxA1BJy7JzeqRE5UBnzmZXepA\nzqyMfZKlDOjEoM6czB7F19d/UGms656o8jEYEMI5kddIPNoOIY3wehhwCCGN65KJBJxKgALa\nqT3n4XoHE1wexuH4puMVNd4qYPCRlgpyumSY4gvd23dgVkIMJJtW3qztjvn3P9cUysdflqif\nLzcXyncXb5X04eYG3SEiAcQrJllBGLB4J0w1DleSWEdGgJvNXz8qlzeWjlPmixww7WNw4Ibt\nuUH7T+l2OX9hlV/fx5tPIs8H/2YIZ334uUTWJ17n1sLu4dq0iz9+vNrO87iHwIFfJ/e0hy3x\nAAG6cLivkwPdOGAdLsg5YIVOTg4fws5KIs17U+WZtwcGtq3anCc/fWCWYIposwmDCiGiMbtb\nvBIeSDCQERbwWItntOlZxWXj9aXj/cQzps6+/PS1qs9yvNpt9/MgYgWEc3l5uZSUlHhOPGv9\nAw4YaAgOGCTJRAJOI0ALtNN6jPVVp6KNpxAh8tgTgIAODKs2e1KjYsdsVFw3uoK+/o9VreBC\ncOzcGnlr2VifGIQV9fcvzpLTjtqmfsK5fwSrG6bLhoiOZWQOCGWEEKuurlYte/EQzmgrBmRi\ntkd9mqlMVnPpqetlZKbxgYL6cty0DOFcUFCQkDcRduWIN4rFxcV057BrB7FeIQlQQIdEwx12\nJQDLhZNHptuVayLrFWiBRl2K8sy5TETbjmGK3+03lVkKZ01olMcVX96GlgO+y3BLePXjctmi\nhFC78sy1kplh3Jqs+SKXlZVZeg3Dwo3X4fAthZsIBmnFSzy/qTxovLlsnB/2s5UZAE86Yoff\nNi+vUDh7uffZdrcSoAuHW3vW5e2iG4e7OtiO/TlxTKv87Dv/kkOmNvjBXlOVL3c8NVcR1ml+\n2yNd6exUQvQprhVWzAKIMjApypYtW9RBWXo/8kjrE02+N5aOVazPlX5FLD52K8Xz10QwsQgm\n1IGrRiL83/06hiskQAKWEkhSrBSuHeaMCQPMWCrxY46PE2ZRwusvDEDB6+94/3iauRJRV7zK\ntkI8mDm/kWMwYhzXAax6TkgYwQ9x5oSEv8s1a9b4+QTDV9eoa05RUZHq0hPLNqOuby4tlmff\nGiP9+wcGx8E14UcXrpeKUnPXBwZSQVyZuUehvXDVqKmpUf+etPajLFjzY/03htkDH/trpXzy\n1Sjt1Or3qUfukm8titzyjPsX7ltO+BlCXXE/iCRyBCzOiP+Ne0iikpPuB/hbwHUQ6MZlFTuU\nz0QCVhNwtQsHRBp+SIwm7XVyJDdKo2XHIj9EKYSHUwQ/+sSoUIoFt3BlwmIU6Q9muLLisR8/\nmE64ZuGCA2EB0aS/DiD+jD4E6o+PFWNcAyfPr5WxRU1y34vT1Cmnca5WZSKPW/53mlx1zjrF\n3cN4hBDEiN64caPAnUO750TSBvyd19XVBZ2UAiIPCRyNsozk3MiDGM93PztdcWXJ9jvkGwfX\nyDkLtip96rd5yBWtz53wQK2xHeqag8V51KhRvnB0ifx7dMr9ABcIBC6ugVjxooAe8s+QO00S\ncLWAxg+0mT9IzcfWzLEm+8H0YfhxR4IodUJ9cVNHXZ0g9rWbrhO44howe73j2HimoQS0USEV\nK5EYyAN1rihpkhsuXi73vnCQ1CuzIyL1KJO8QFRffc4qmV7RFHhY2HW8JduwYYPAko5Z54ZK\nEG4I+QVf51BJs2aD41BCL9TxkWwfntIro3I6dAJ6v5x5dJUyuHK7IfGMc+HBIZZiP5L2RJoH\nTHG/DcYVs+1hcCDub0h2uGc46X4AZrEU0CifiQSsJkAfaKuJsjwSIAFTBDQLX7CD4WjW3Jaq\nCNfEvRJHvTCw8YaLVyhiutVXTcSq/tf6Qt+60QUIB0yvDb9oDP7TPxRgH7YhjnNVVdWQ4tno\neaPJf8kpiuuKwiB1WJ/821lrVPEcTXlOPRbCGVFVMDmIJp6d2hbWmwRIwBgBV1ugjaFgbhIg\ngUQSCCWgP11dJNtqs1VrLyZYOWX+9kRWU50l70cXrJT7Xpop67fnyVEH1chFJwWfqtpIRdva\n2nxuGbDMwtoZK59QI/UKlnf4sP3yg7NXSUt7mowb3RYsi6u3BVqcXd1YNo4ESCAoAQrooFi4\nkQRIIN4E4H4A0ai3wKIOff1JqnjG8p5Wxd+/L0mZpTCxY59Th/erbhsfrSyRhYfuFMXDw9IE\nNyd8Epm6e5LVdqGtwVJOljLdtvLxUoKbTU5OTkIHB3qJN9tKAnYmQBcOO/cO60YCHiMQzApd\nmDsQWWS/EgWjoSWxbhxal6Sl9ssJ86wXz1r5ifyu3p0pNz9+qPz5ff8QdYmsUyLPjagakyZN\nksrKSrpqJLIjeG4SsBEBCmgbdQarQgJeJxBcQPtPqKIN4PM6q1i1/6vNSpzrp+eoAyXfW14q\n67Z5c5plDByFtbn86ym36eMcqyuO5ZKAMwlQQDuz31hrEnAlgWDh3HKyeiR1eJ+vvfVN9rBA\n+yoUYgEuEE5L735eJve/PFO6ezTvviR58R8TnNaMqOoLV6L8/HypqKhQYzlzApSocPJgEnAt\nAefd4V3bFWwYCZBAMAs0/ItH6dw4GpQQcnaf/umLDQXy/x48Qrbu8o+VbOce/tv/jZcX3p2o\nsB1w6B5fvFeuOfcrO1fbsrrh4a2wsFB100As52DXomUnY0EkQAKOJ0AB7fguZANIwD0EMIhQ\ni2Wsb1Vh7gE3joy0fTI6v0P29drz1qVEnVP8hivkgSUz1QlXHv3bNOlygCV6Z32mvPbJeD1y\nmTu5Xn584ReSl93jt91tK3DNKC0tVS3OeXl5Qa8/t7WZ7SEBEoiegPaeLvqSWAIJkAAJWEAA\nlr/AiXYmjmlRpsxulawMA9PcWVAXM0VU1QxYneGv/dzfJ8llp603U1TcjnnmbX/L86J5O5RZ\nBbdYHl0kbg0KcyLNvxk+zpjJlYkESIAEjBKwpxnHaCuYnwRIwDUEYIUOTBlpfY4Qz4r7rFx+\n+jrJTB8I77Z0VbF8vtb8RCuBLKxeR5ztTdUDAwXxoOJW8Qx/Zsz6OGHCBPWb4tnqq4nlkYB3\nCFBAe6ev2VIScASBYAMJHVHxryuZq7g8YKY+fXrqrclqDGv9Njssd3WnyMvvVfqqkiT75cJF\nG11leYa1GWHoMGNguRJRIzc3l24avh7nAgmQgFkCFNBmyfE4EiCBmBBww+CtOZMb5ZjZu3x8\nOruHySN/naZMCuPbZIuFv308Xp1NUKvMMXNqZFyxO2YWhLVZGxRYUlLC+M1aJ/ObBEjAEgL0\ngbYEIwshARKwikAwFw6ryo5nOecv3CwbduRK3Z4R6mk378yRJR9UyrmKb7EdUn1zuvzj8zG+\nqsDt5Kxjt/rWY7WQnp4umAob35jZD/7umHUR39pyR0eH9GNEpsEEazNnCzQIjdlJgARMEaCA\nNoWNB5EACcSKQKgpvWN1vliViymwv3vmGrntyYOV6ccPvOz7+2djZNLYFpk9sTFWp4243Lc+\nHSv9upB13zxui2TGaJAmrMGIcJGVlaVO165VEq4VnZ2dqnAOnKiku7tbIKTxQZ5QghqiGcei\nLHyCRXHRzsdvEiABErCKAAW0VSRZDgmQgGUE4MbR1zcweYq+4H29SdKoTOfd1ZMiSrheW6ex\no9vlWws3ydNvT/66nknyv69OkZ9+518yKqc7YXVHHO2ahgOWcVQC06UfNbvW8vpgkF5BQYEq\nnI0WjmPxgfBGgqDGB9fFfqUB+MCKDfFM0WyULvOTAAlES4ACOlqCPJ4ESMByAhDQEEuB6bM1\nhbJRcYvAZB9pyuyEh85qCcxiu/Vj59bIxuoc+WzNaLVuHd3D5Y+vzJDrL1ohw4cpSjYBSTHa\nKudfKWurcuXNZeNk3rTdkjwwf4olNYK1ubi42DJxqwlqSyrHQkiABEggSgIU0FEC5OEkQALW\nEwg1kDA9FdbHA0qve1+KNLUmy6gDBkpTlYDlEudC5A+4AsBNAJbN3t5e1S/XVKFBDrropA2y\nvTZbar/2h96mLD+tROZIdHzoaeXNgo/VCVNhYzY/JhIgARJwKwEKaLf2LNtFAg4mEEpAj8o5\nMCOh1rTaxmGKgA7u6qHlCfxG2Rhohg98c0MluArA9xZiGt9dXf7nDnVcsO3pqf3yb2etllsV\nf+geRfgjwQWlty9JhqUkxgodrJ5WbBs9erRgghImEiABEnAzAQpoN/cu20YCDiUQKhJHwddT\nemvNqmsYJjMnRiagYWXGJBqZmZna4UN+ow5wQ4DrAIT2zp07pbm52bSQLi3skMtOXScP/2W6\nnHF0lZx65HZXxVsGTAhniuchLyvuJAEScAkBCmiXdCSbQQJuIgB3CgjYwIGEaUpki+zMHtnb\nfsByXNs4eNbCQA4oC5NnwKUAy2YSjtOs1nv37pX6+nrVMm20rEOmNkhZ4T+luKDT6KG2z48H\nDcRdZiIBEiABLxCggPZCL7ONJOBAAnC1CBTQaEaB4sahCej6JuQRRWwHbyDKKC0tVaM1BM9h\nfCtCpSGOcUNDg7S0GB/EmCjx3K94ilg9UFCjB19yTFbCaBgaEX6TAAm4nQBnInR7D7N9JOBQ\nAqH9oDsVS/J+yRvZJdMruxWf4uANhNsFpm9GqDOrE6zj8PWFODdr1ba6TuHK++iLErn9yTmy\nanN+uKyG94PFUP7khgvkASRAAiRgcwK0QNu8g1g9EvAqgVACekJZq0wc06oOvoNbRjB/aYjm\nsrKyoPus5AkfaYj06urqkBN9GDnf5uqRUlHaqlhyjRwVPm+fMlgR4er2tKbL71+apfBrkR9f\n+IUlPtiIuAGrPBMJkAAJeImAxbdpL6FjW0mABGJJIJgwxvkQO3moyBUQz2PGjIm5eNbajvON\nGzdODYWnbTPz/d7yUrnz6TnyxOtTlBkCzZQQ+pilq0ar4lnLMW70XkvEMwYMMlydRpXfJEAC\nXiJAAe2l3mZbScBBBEJZoIdqgubzHG9fXLgvRCPaX/mgXJ77+yTZL0mybHWxPP7qVMWiPVRL\nI9+HcmB91lJKcr+cePgObdX0N6zviGrCRAIkQAJeJEAB7cVeZ5tJwAEE4FscygodrPrID7cN\nM8I7WHlGtyFMHgbSmfGJLsxDVI4BszNmLXzs1WmWiOjP1hZJfXOGrzlHHlQredk9vnUzCxhE\nabatZs7HY0iABEjAbgQooO3WI6wPCZCAjwBEaaQJgg6h1BKZICzNhHI76qA6ufjkDUrVB0T0\nPxXh++CSGdLVHSLESAQN7VSOXfJ+pS9nsjL48uQjtvvWzSwgjraTBk+aaSOPIQESIIFwBCig\nwxHifhIggYQRiNQCXVBQoE56krCK6k6MmNOIGW00HT27Vi45Zb3ixDEgolduGiW3PTlXdjeZ\niyTy/DsTpblt4KFi/qxaGZXTbbRqvvxw24B4jreLjK8CXCABEiABmxCggLZJR7AaJEACgwlE\n4o6BQXyIBGGnBN9gI9Zzre6wRF96miKiFUuxlmoaM+XWJw6WrwyGn0P+pauKtWIke0SPnH3c\nFt+60QU8FNBtwyg15icBEnArAQpot/Ys20UCLiAQzgINf+Pi4mJTfsexxAMLLeplJs2fWSc/\nPPcrGZE2EOC6o3u43KeEn3twyXRpbBmwKIcqv6MrRZ58c7Lf7otO2ihZI3r9tkW6ArcNxHo2\n498d6TmYjwRIgAScRIAC2km9xbqSgMcIhBPQsDzbdQKPjIwMdQpxM102o7JJbrp0uZSMavc7\nfMWGQvnlI/PklQ/L/bbrV3bUpcv9L02RFp3rxrxpu2Xu5AZ9toiXYeGn5TliXMxIAiTgEQIU\n0B7paDaTBJxIAJbcUCIaLhJ5eXm2bhZiJJtx5UCjivK65MaLl8uhU3f7tXFfb4qs2xa83eu3\nZ8v1v5sia6tyfcfAdePbizb61o0soO6IbEKfZyPUmJcESMALBCigvdDLbCMJOJhAKAFtZqBe\nvDFE48qBuqan9st3F6+Va8//UorzO3zVP2RKvW9ZvzBp7F7Fau0/SBDRPbIyjLtuoO7xmM1R\nX38ukwAJkIBTCFBAO6WnWE8S8CiBYAMJES4u2HY7IorGlUNrz/SKJvnF5Z/LuQs2q4MBD5ka\nXEAnJ4mcc3ydetiYoja5RvGlnj2pUSsm4m8tprZd3WMibggzkgAJkECMCAyLUbkslgRIgAQs\nIRAolCHuMKjNSQmuHO3t7bJv38DAQKP1T0nZL4sOq5aF86oFQjlUOvKgJhmW3C5Tx9Urg/5C\n5Rp6OwYMQvgzkQAJkAAJBCdAC3RwLtxKAiRgEwKBLhyIRew0n1zU16ppr4cSz+gy5VRy0MRm\n0+IZAzOd4B5jk8uT1SABEvAoAdtYoPv6+uSpp56Sb37zm343771798rSpUsHdc+CBQtMD84Z\nVBg3kAAJ2JaA3gKNZadaRmE1z8nJkZaWFtuyBltYy5lIgARIgASGJmAbAf2HP/xBXnjhBVm0\naJGfgF65cqXccsstg27q8+fPp4Aeum+5lwRcQQDWW7ht7N+/X51t0MmxiDVXjt5e44P64tGZ\nmNGRiQRIgARIIDyBhAvouro6ueuuu2T58uVBa7tx40aZMWOG3H///UH3cyMJkID7CcDyDOGc\nlhZ+EhE704A7Clw5du3aZbtqIt4zBmcykQAJkAAJhCeQcB/o2267TbUs3X777UFrCwE9ZcqU\noPu4kQRIwBsEIDydNnAwVM/AhxuuHHZLtD7brUdYHxIgATsTSLgF+sYbb1SniN22bVtQThDQ\nsDoh37p162TatGlyzTXXqPFJ9Qd0dnbK6tWr9ZvE7GAYWLvw2tjsBAh+lYjxijbACt9OqC+4\ngi9ex9s9oa5ITuCqsXRCXTUXDHxr169W/1DfGNSG6yYwYVus2xyL+0Fpaal0d3dHFZUjkAXW\nNba4diNli+Nwj83NHZh8BdvikZx0P9DY4npzwv0L/Rfrvw0rrxHwdVJ9rWw7y3ImgcG/SHFu\nB8IlhUoYQFhbWyvFxcVywQUXyNFHHy0vvfSSXH311eqAQ1hytLR9+3a56KKLtFX1+xe/+MWg\nbX4Zwqw4abCSk0bNO+01vJMGVTmlrnjghTDV/w0P9edYWFgo9fWDYx/Dahqv68nq+wHK27x5\n81DNNr0P7hhGUkVFRcKs4kbraqRdscjrJEu9U+4H6CfEHHdSfWNxbbFMZxFIuIAeChd+XF98\n8UXVkqwF9J8+fbpceuml8u6778rixYt9h8PafOWVV/rWsTBhwgRpa2vz2xbJimZx6unpiSR7\nQvPgiR0CoqurS+w6MEkPCHVFPRF1xe4JAgdWPDPXUCLaBv/Vjo6B2eoSUYdIzwmuuAYiiYuM\ndkFk4RoPTNHGVg4sL9g66oqP1fcDWNzgltLYaHyik2D1xDbUE/cEcI30bwxscVwirnMn3Q/A\nCb8NieAUqr+H2u6k+wF+6/G7EOxvfKg2Rrov0gf1SMtjPhIAAVsLaPzAwPqsT5WVlQJrVE1N\njX6zuu3666/329bc3CywYhtNuFFCsJs51ui5os2PmyR+hGDRi9XNJ9o66o/HDzVEntViRH8O\nq5YhRFBfJ1wHaDMEvxPqir9r+AD39/erbgzh+gtWKbg74JoJfHUOMRPr1774+8InFmzx9wvL\neiQPEuE4YT/uW5qAjrRM9EUs2hZJfeHCgXuXU+4HmoAOvA4jaWu88zjpfgCBiwe+WF2HFNDx\nvvq8cb6EDyIcCnNVVZVqbd6xY4cvG4QzfnDKysp827hAAiTgTgIQrrDSQnRDvLgtQUBaNcGK\nGTbgmp2dbeZQHkMCJEACniZgawFdXl6uvrp98MEHpampSbU6I150Xl6eLFy40NMdx8aTgBcI\nwDVLS7G2NGvnifc3HhASJWJxbrxlYSIBEiABEjBGwNYCGk257rrrZOvWreoMhRhIuHPnTrnv\nvvsYr9RYPzM3CTiOACzO+lev2jgIxzUkggrDCg1rdLxTooR7vNvJ85EACZCA1QRs8050/Pjx\n8tFHHw1q39SpU+WZZ56RhoYG1bfPjvFTB1WaG0iABKImgL91uBhoyc0CGlZgjO3AxFLxShDs\nsEAzkQAJkAAJGCcQf5OH8TqqR2AgEcWzSXg8jAQcRgDCOTAusZsFNLoH9zcMYI5XgnU/EVbv\neLWP5yEBEiCBWBJwjICOJQSWTQIkYC8CcC0I9M11qw+0nnw8BxQ6KXa8nhGXSYAESMAOBCig\n7dALrAMJkIAfAQwUDkwQ0HqXjsD9bliHBToefsl4OEEIPSYSIAESIAFzBCigzXHjUSRAAjEi\noMU2D1a8F6zQcFeL9YMCrc/Bri5uIwESIIHICVBAR86KOUmABOJAIND3WX9Kt/tBo614SBiK\ngZ6H2eV4WLnN1o3HkQAJkIATCFBAO6GXWEcS8AiBcJEhvCCg0dUFBQWDfMCtugQg0OM5WNGq\nerMcEiABErATAQpoO/UG60ICHicQGLouEIcXXDjQZjxIQETHItH6HAuqLJMESMBrBCigvdbj\nbC8J2JhAON9crwhodBEeJmLRXv3kNDa+FFg1EiABErA1AQpoW3cPK0cC3iEAt4K0tLQhG+wV\nFw5AwEBCDCi0MtF9w0qaLIsESMDLBCigvdz7bDsJ2IhAJBMlYXrvWEeosBESNaRduIcKI/Wl\n+4YRWsxLAiRAAqEJUECHZsM9JEACcSIAn99IxV0s3Bri1ExTp8EU31alSBlbdT6WQwIkQAJu\nJUAB7daeZbtIwEEEjEwr7TUBjbjYVkx6Am5WWrMddHmxqiRAAiRgOQEKaMuRskASIAGjBCJx\n39DK9JIftNZmWKGjdV0JN0BTOxe/SYAESIAEwhOggA7PiDlIgARiSACW0YyMjIjP4EUBDctx\ntAKY0TcivsSYkQRIgATCEqCADouIGUiABGJJwKhfrtdcODT2iMiRkpKirRr6hgCn+4YhZMxM\nAiRAAkMSoIAeEg93kgAJxJoABXRkhCGezU6ukp+fH9lJmIsESIAESCAiAhTQEWFiJhIggVgQ\ngDuGUcsoLNDR+gPHoi3xKBO+4kZdWCC86b4Rj97hOUiABLxEgALaS73NtpKAzQiY9ev1qhsH\nHhyKiooM9WJeXp5nHzgMgWJmEiABEjBAgALaACxmJQESsJaAUfcN7exGrbDacW74Rki7SF05\nILiNRDhxAx+2gQRIgATiQYACOh6UeQ4SIIFBBCAEzVqSzR43qBIO3QABnZmZGbb2EM9mBx6G\nLZwZSIAESMDDBCigPdz5bDoJJJJAbm6u6dN7XUADXHFxcdgHkGgYm+4cHkgCJEACHiBAAe2B\nTmYTScBuBKJ1LaCAFtWyXFpaKpgGPVgyM+AwWDncRgIkQAIkMJjAsMGbuIUESIAEYkvAaOSN\nwNpQQB8gAo7l5eXS2Ngora2t6kawGTt2rAwbxtt74HXDdRIgARKwigDvsFaRZDkkQAIRE4g2\nDB0F9ABqCOXRo0cL3DV6e3uloqJC9u7dK52dnQOZuEQCJEACJGApAQpoS3GyMBIggXgQgACn\nhdWfNKzRCFnHQYP+XLhGAiRAArEgENx5LhZnYpkkQAIkYCEBWqEthMmiSIAESIAEDBGggDaE\ni5lJgATsQsDLsaDt0gesBwmQAAl4lQAFtFd7nu0mAYcToAXa4R3I6pMACZCAgwlQQDu481h1\nEvAyAQpoL/c+204CJEACiSVAAZ1Y/jw7CZCASQIU0CbB8TASIAESIIGoCVBAR42QBZAACSSC\nAAV0IqjznCRAAiRAAiDAMHa8DkiABBxJgOHaHNltrDQJkAAJuIIALdCu6EY2ggS8SYAi2pv9\nzlaTAAmQQKIJUEAnugd4fhIgARIgARIgARIgAUcRoIB2VHexsiRAAiRAAiRAAiRAAokmQAGd\n6B7g+UmABEiABEiABEiABBxFgALaUd3FypIACZAACZAACZAACSSaQNJ+JSW6ErE6f3t7u6Sn\np5sqPikpSZyABvVMTk6W/v5+x9TXCVxx0YAr+Pb19Zm6huJ9kHYdxPu8Zs6HwX+4DnDdOiHx\nfhCbXnIKV7Se94PYXAMoNdb3Aw42jl3feblkV4ex27dvn7S2thruX4ju1NRUU8caPlmUB4wY\nMUJycnKkpaVFurq6oiwt9ofn5uZKR0eH9PT0xP5kUZ4hPz9f0tLSZPfu3VGWFJ/Di4qKHFFX\niKbi4mLp7u6Wpqam+MCJ4iy4BvAxcy+J4rSmDtXuB6hrZ2enqTLieRDuXaink+4H9fX1jjBW\nOO1+gGtgz549Mbn8SkpKYlIuC/U2AbpweLv/2XoSIAESIAESIAESIAGDBCigDQJjdhIgARIg\nARIgARIgAW8ToID2dv+z9SRAAiRAAiRAAiRAAgYJUEAbBMbsJEACJEACJEACJEAC3iZAAe3t\n/mfrSYAESIAESIAESIAEDBKggDYIjNlJgARIgARIgARIgAS8TYAC2tv9z9aTAAmQAAmQAAmQ\nAAkYJEABbRAYs5MACZAACZAACZAACXibAAW0t/ufrScBEiABEiABEiABEjBIgALaIDBmJwES\nIAESIAESIAES8DYBCmhv9z9bTwIkQAIkQAIkQAIkYJAABbRBYMxOAiRAAiRAAiRAAiTgbQJJ\n+5XkbQTObv2SJUvk97//vfzsZz+T448/3tmNsVntr7vuOlm5cqW89dZbMnz4cJvVzrnVaW1t\nlbPOOkvmz58vv/nNb5zbEBvW/NVXX5W7775bbrjhBjnppJNsWEPnVuknP/mJfP755wLGI0aM\ncG5DbFbzzs5OOe200+TQQw+VO+64w2a1Y3VIIDQBWqBDs3HEnra2Ntm5c6d0dHQ4or5OqmR9\nfb3Kls+Y1vZaX1+fyrWhocHaglmatLe3q2zxzWQtAVyvuNf29/dbW7DHSwNPcMX9lokEnESA\nAtpJvcW6kgAJkAAJkAAJkAAJJJwABXTCu4AVIAESIAESIAESIAEScBKBYU6qLOs6mMDYsWNV\n3+fi4uLBO7klKgIHH3ywZGdnS3IynzOjAhlwMPzJ4a8/a9asgD1cjZZAWVmZyrakpCTaonh8\nAIG5c+dKWlqaDBvGn80ANFGtgifuB9OmTYuqHB5MAvEmwEGE8SbO85EACZAACZAACZAACTia\nAE1rju4+Vp4ESIAESIAESIAESCDeBCig402c5yMBEiABEiABEiABEnA0ATpzObj7EP7nq6++\nki+++EJGjx4tCxYsUH30HNwk21S9ublZPvzwQ0EIu8MOO0zoU2p91yCmLjifcMIJ1hfuwRI/\n/vhjNYydvunwK8U4CaboCOA6/eSTTwQxzI855hiBrzlTdAS+/PJLqampCVrI0UcfLZmZmUH3\ncSMJ2IUAfaDt0hMG64GYpFdeeaUqmGfPni1Lly6VrKwseeihh2TkyJEGS2N2PYF//OMfcsst\nt6jCGUH+16xZo074gUD/TNYQqKurk0svvVRw7d5+++3WFOrhUhBb+8QTT1QHveoHuX3ve99T\nt3sYTdRN37x5s/z4xz9WH6JhqPjggw/k4osvlu985ztRl+3lAu69917VSKFnsHfvXnVOg5de\nekk1Cun3cZkE7EaAFmi79UiE9cENprS0VP7whz+oR0DonX322fL888/Ld7/73QhLYbZAAvv2\n7ZMHH3xQfTj59re/re6+9dZb5eGHH1ZnygrMz3XjBPDm5Oabb5akpCTjB/OIoAR27NghPT09\n8uijj0pBQUHQPNxojsADDzygRojAQzXSsmXL5Je//KWce+656gOLuVJ51L//+78LPlrCZGCX\nXXaZnHHGGRTPGhR+25oAfaBt3T2hK4epZC+55BJfhoyMDJk6dars2rXLt40LxgnAknfNNdfI\nmWee6Ts4Ly9P9uzZ41vnQnQEnn32WVU8c+r56Djqj964caOMGjWK4lkPxYJl3E8//fRT+f73\nv+8r7fDDD5fHH39c0tPTfdu4ED0BGIPwO4a3Jkwk4AQCtEA7oZeC1FEvnrEbAm/FihVy9dVX\nB8nNTZESwI/iscceq2ZvbGyUzz77TJYsWSJXXHFFpEUw3xAE1q9fLxDQjzzyiDz11FND5OQu\nIwQ2bdqkWkPvvvtugS80Hvpwj9CuZSNlMe8AAVj2U1JS1Ae+O++8U7Zt2ybTp09XLaWIZ85k\nDQH8dv3lL39R36CkpqZaUyhLIYEYE6AFOsaA41E8Xt3+6le/kvHjx8tZZ50Vj1N64hz/9V//\nJXfccYdq2cPAIaboCHR3d6uuG3jI48Q/0bEMPHrDhg3qQ/TkyZPl+uuvVwe5/fSnP1XHRgTm\n5XrkBDDWBA/VYAqXo0MOOUTefvtt+Y//+A+BKxKTNQTgeoiJq3D9MpGAUwjQAu2UngpRT4wK\nv+mmm9TR4ffcc4/QKhIClInNv/vd79QoEfB/xqChl19+WXJyckyUxENA4P7771cf8k455RQC\nsZgAHqAh6GB5RjriiCMEVmkIk/nz51t8Nu8U19vbq0Y2ufzyy+X8889XG47BxFdddZXq2kG2\n0V8LeEjBIHgYLJhIwEkEaIF2Um8F1BU3HtzIcZO/7777VEtpQBauRkkgNzdX9cmDbzRu8kzm\nCCDqBlxhmpqa5IYbblA/GIy1du1adRlhwpjME8CDnSaetVIg7kKFCdPy8HtoAoWFhWqG4447\nzpdx5syZaqSj6upq3zYumCfw2muvqb77Rx11lPlCeCQJJIAABXQCoFtxSggSiGfEeEU4IFpG\nraAqUlVVJeecc47fYMyuri6BgEZMaCZzBDA4CGEXMQALPqT4QPAh9CKW+ebEHFftKDyUIDKP\nPq1cuVKN1KPfxmVjBMrLy9UDamtrfQfW19erb/y0fb4dXDBFAIM0EfdZH37RVEE8iATiTIAu\nHHEGbtXpfvvb36qi7rzzzpN169b5ikUM6IqKCt86F4wRwI8iYr0ilN1//ud/CsQzRofjAQWv\nxZnMEcB1ibjP+gQhgk/gdn0eLkdGYO7cufLkk0+qcbXHjRsnr776qnpfgA8/k3kCCBX6jW98\nQ+DOhUGEEHkIFVhUVCQzZswwXzCP9BGA0WLRokW+dS6QgFMIUEA7pad09URoJc2d4Nprr9Xt\nEdXCd9ddd/lt44oxAtddd506KBMDMuFXisGZ+PEMfEVurFTmJoHYEVi8eLFgZjf46iKKQVpa\nmmAQIX10o2f+k5/8RBALHm+mEJEDsxDCgIFQokzREYBLFyZPqaysjK4gHk0CCSDAmQgTAJ2n\ndAaB3bt3qxan/Px8Z1SYtfQ8gfb2dlWQ4C0KJ6qx9nLARB94I8X7gbVcWRoJOJUABbRTe471\nJgESIAESIAESIAESSAgBDiJMCHaelARIgARIgARIgARIwKkEKKCd2nOsNwmQAAmQAAmQAAmQ\nQEIIUEAnBDtPSgIkQAIkQAIkQAIk4FQCFNBO7TnWmwRIgARIgARIgARIICEEKKATgp0nJQES\nIAESIAESIAEScCoBCmin9hzrTQIeJNDd3S3btm0ThGvTEmaJQ2z0WCSELsP5EL6MiQRIgARI\ngAQ0AhTQGgl+kwAJ2J7A559/LpgtUj9tNSa8OfHEE2NS9zfeeEM93/vvvx+T8lkoCZAACZCA\nMwlwJkJn9htrTQIk8DWBww47jBZiXg0kQAIkQAJxJUABHVfcPBkJkIDVBO69916ri2R5JEAC\nJEACJDAkAQroIfFwJwmQQCIJfPTRR/Laa69JTU2NLFy4UCorKwdV5+GHH5aenh65+uqr1X39\n/f2yZMkSefPNN2XPnj0yefJkOfXUU+WYY47xHfvHP/5RcnJy5PDDD5fHHntMNm7cKMcee6yc\neeaZUlZW5svHBRIgARIgARIIRoA+0MGocBsJkEDCCdx5552qqIUQbmtrkx/96Edy7bXXDqrX\no48+Kg888IBv+3XXXSfnnXeefPrpp5KcnCx/+tOf5LjjjpN77rnHl+eRRx6RW2+9VY488kh5\n7733JDMzU26++WY56KCDZOvWrb58XCABEiABEiCBYAQooINR4TYSIIGEEoDl+aabbpKrrrpK\nVqxYIS+//LJ89dVX0tzcPGS99u7dK/fff7/84Ac/kC+//FJefPFF2bFjh8ycOVNuv/126evr\n8x2/cuVKueiiiwTngqDGeSCkzz77bNm/f78vHxdIgARIgARIIJAABXQgEa6TAAkknMArr7wi\nKSkpqlU4KSlJrU9JSYnceOONYesGq/Pq1atVtw9kxvoHH3wgVVVVaplaAXl5efKrX/1KW5XR\no0cLrNdffPGFbN682bedCyRAAiRAAiQQSIACOpAI10mABBJOANbhMWPGSH5+vl9dDjnkEL/1\nwJXs7GxVBEMww5f50EMPlZ///OeyZcsWSU9P98s+Y8YM1eKs3wgXDiRYo5lIgARIgARIIBQB\nCuhQZLidBEggYQQaGxslKytr0PkDBfWgDMoGuGq8/vrrcuGFF8r27dvlv//7v1Uhfemll0pv\nb6/vkNzcXN+ytjBixAh1saWlRdvEbxIgARIgARIYRIACehASbiABEkg0gTlz5qjiN7Aekcw4\nCD9nTKzy1FNPSV1dnXz22WfqYEQMJoRlWkvV1dXaou8bsw4iHXzwwb5tXCABEiABEiCBQAIU\n0IFEuE4CJJBwAggvhwGDf/3rX/3q8vzzz/utB67AfxkDAbWIG/CfnjdvnlxzzTVqVkz7rSUM\nMly7dq22qn5DZGdkZKiDDv12cIUESIAESIAEdAQYB1oHg4skQAL2IHD55ZfL008/LfjGRCmz\nZ88WDCxEzOehEizXiBd92223qQMGjz/+eFmzZo3ccsstqkvIKaec4jsc8aIXL16slo8Big89\n9JAaOxrnTU1N9eXjAgmQAAmQAAkEEqCADiTCdRIggYQTgIDFZChXXHGFXHnlldLZ2SmlpaXy\nxBNPyPnnnz9k/WB9vuSSS9S40cgIKzQE+LJly/wGJU6fPl0WLVokZ5xxhuobjUlaINYvuOCC\nIcvnThIgARIgARJIUuKdMuAprwMSIAHbEoB4hu/zhAkTDNWxoaFBDWVXXl4uiM6hT4cddph0\nd3cLon10dHQIXDuCzXKoP4bLJEACJEACJKARoIDWSPCbBEjAMwT0AtozjWZDSYAESIAELCPA\nQYSWoWRBJEACJEACJEACJEACXiBAH2gv9DLbSAIk4Efg5JNP9osJ7beTKyRAAiRAAiQQhgBd\nOMIA4m4SIAESIAESIAESIAES0BOgC4eeBpdJgARIgARIgARIgARIIAwBCugwgLibBEiABEiA\nBEiABEiABPQEKKD1NLhMAiRAAiRAAiRAAiRAAmEIUECHAcTdJEACJEACJEACJEACJKAnQAGt\np8FlEiABEiABEiABEiABEghDgAI6DCDuJgESIAESIAESIAESIAE9AQpoPQ0ukwAJkAAJkAAJ\nkAAJkEAYAhTQYQBxNwmQAAmQAAmQAAmQAAnoCfx/PsEBG1WIejwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# data has been separated into three lines based on their drivetrain: 4 (4wd), f (front), r (rear)\n",
    "ggplot(data = mpg) +\n",
    "  geom_smooth(mapping = aes(x = displ, y = hwy, linetype = as.factor(cyl)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Can display multiple geoms on same plot just by adding them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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OAYbpAACZAACZAACZAACZBAsgikhQba\n6/XKddddJxZLoIs2QLjhhhvk6KOPlosuukjb/8gjj8jtt98u8+bNC3t8ssAxHxIgARIgARIg\nARIgge2TQFpooJ966ilNGD7ooIMCWqGxsVGWLVumaaB14Xru3LlSW1srS5cuDTiWGyRAAiRA\nAiRAAiRAAiSQDAIp10AvX75cIEA/8MAD8vjjjwfUua6uTtuuqqrqiy8tLRWn0ykNDQ2y8847\n98XDBOS+++7r28bKwQcfLDNmzAiIi2XD4XBIXl6eQENuxoCXDvwKCwvNWHyx2ZTHa/Uza/nR\nfxByc3MlKyvLlG1gtVqloKDAlGXXC223203bh1B2XMO4DswY9GsAfcjn85mxCoJrwKz3IJQd\nAfcffd1sjYA+hLJnZ2ebrehaeVF2Mz+HTQk9SYVOqQDd09OjmW6cf/75MmLEiJAqb9q0Sbvw\ng4UP3Iybm5sDjsfgwyeeeCIgbuLEibLPPvsExMW6gQeY2QNeAswc9IewWetg1hu/ztvs/QfX\nsNmvYygNzBzwEmnmYPZrAP3HzH3I7M8A9H2z9yEzX7+JKntKpcO7775bxo4dK0cccUTY+uGi\ncbvdIfs8Ho+m1fPfMW7cOHn++ef9oyQ/P182b94cEBfLBgT1rq6usGWIJZ1UHQttPbQ+TU1N\nqSrCkPJF++Plqb29fUjppOpkCA24aeLlrre3N1XFGFK+JSUlWvnNqD2E1mf48OGCF/XW1tYh\ncUjVyXj5Qj1wHzJjgOYW1zDM8cz6JQ/XQLDCxixtgXtocXGxdHR0SGdnp1mKHVBOPMdxDZv5\nHgotNK6BRIeysrJEZ8H0/QikTICGycX8+fNl1113lcsuu0wr0urVq8Xlcmnbl19+ufbwg7CM\nC99fg4GHYWVlpV81tn2i8jfpwE4ILkN58EBoQP7hhPiAzNN0A+XHz6zlx03HzOXXBQYszdoG\n6NooO9rBbAH9B8HsfQgCtFn7j34NoPz6utn6EcprVv76NWDmexCuXzM/h/X+btY+pJefy1AC\nKROgc3Jy5KyzzgooETSleFPeaaedBG/Oo0aN0j69LlmyRGbNmqUdi0GFuBn420UHJMINEiAB\nEiABEiABEiABEkgggZQJ0Pi0d9pppwVUDeYW+PnHH3bYYfLQQw/J1KlTNWEagw0PP/xw4aeK\nAHTcIAESIAESIAESIAESSBKBtHBjN1Bdzz33XG3ww1FHHSXHHnusJkRfeOGFA53CfSRAAiRA\nAiRAAiRAAiSQMAIp00CHq9Ell1wSEo0BHHfccYc2CAiunDiSNQQRI0iABEiABEiABEiABJJI\nIK0E6IHqbVY/nAPViftIgARIgARIgARIgATMRyDtTTjMh5QlJgESIAESIAESIAESyGQCFKAz\nuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIg\nARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIgARIgAcMJUIA2HCkT\nJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAES\nyGQCFKAzuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIg\nARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIgARIgAcMJ\nUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAES\nIAESIAESyGQCFKAzuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAz\nuXVZNxIgARIgARIgARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKAzuXVZNxIgARIgARIg\nARIgAcMJUIA2HCkTJAESIAESIAESIAESyGQCFKDTqHXdPo9s7Nkkbe6ONCoVi0ICJEACJEAC\nJEACJOBPwO6/wfXUEXiy7nm5e+PD0unt0gqxT9EsuXb872WYoyR1hWLOJEACJEACJEACJEAC\nIQSogQ5BkvwICM+319zfJzyjBJ+1fCG/+O53Aq00AwmQAAmQAAmQAAmQQPoQoACd4rbwKAEZ\nmudgQdktMOeok3eaP0xxCZk9CZAACZAACZAACZCAPwEK0P40UrDe4GoM0Dz7F8GnNlZ0rvGP\n4joJkAAJkAAJkAAJkECKCVCATnEDFNrzxaL+wgWbWKXEXhRuF+NIgARIgARIgARIgARSRIAC\ndIrA69nm2XLlgOI5YreEjuf0iFcOHXaAfiiXJEACJEACJEACJEACaUCAAnQaNMKfxl0s47JH\niUMJ0fhlWZza8uaJV0q5c3galJBFIAESIAESIAESIAES0AmEqj31PVwmjUCJo0jm7fwPea/5\nY1neuVpKHMVycMm+FJ6T1gLMiARIgARIgARIgASiJ0ABOnpWCT3SZrHJwcP2034JzYiJkwAJ\nkAAJkAAJkAAJDIkATTiGhI8nkwAJkAAJkAAJkAAJbG8EKEBvby3O+pIACZAACZAACZAACQyJ\nAE04hoTP2JMXbP1cPm5dKCOc5fLjsrmSY8s2NgOmRgIkQAIkQAIkQAIkMGQCFKCHjHDoCbS7\nO+TH354t9b2b+xK7fcP9cv34y+TI4Qf3xXGFBEiABEiABEiABEgg9QRowpH6NpDTv/tNgPCM\nIvnU3xXVN8qmnoY0KCGLQAIkQAIkQAIkQAIkoBOgAK2TSNGy1d0uq7vWRsz97o3/iriPO0iA\nBEiABEiABEiABJJPgAJ08pkH5Li6a13AdvDGhu7a4ChukwAJkAAJkAAJkAAJpJAABegUwkfW\nO+aMG7AEY9UMhQwkQAIkQAIkQAIkQALpQ4ACdIrbIt+eJ1NydwhbCotY5MJRZ4bdx0gSIAES\nIAESIAESIIHUEKAAnRruAbn+a8rtMjqrKiDOJla5ZeJVUuYcHhDPDRIgARIgARIgARIggdQS\noBs7A/h3dHRIXl5e3CnB3/OL0x6RL9uWyMctn0uls0LmDj9EnFZn3GnyRBIgARIgARIgARIg\ngcQQoABtAFcI0DabTbKzhzbxycyCnQU/BhIgARIgARIgARIggfQlQBMOg9qmsbHRoJSYDAmQ\nAAmQAAmQAAmQQDoToABtUOtAC93V1WVQakyGBEiABEiABEiABEggXQnQhMPAltmyZYuMHj06\nrhQ73Z1yR80DsqRjuZQ4iuQXlScrc45d40qLJ5EACZAACZAACZAACSSOAAVoA9lCA93Z2Sm5\nubkxpbqqs1pOXnKeuMXTd96Clv/JyeXHyaVjf9UXxxUSIAESIAESIAESIIHUE6AJh8FtAC10\nrOHs5b8PEJ71859qmC9ftS3VN7kkARIgARIgARIgARJIAwIZrYG2WCxit8dfRavVqnnX8Pl8\nAzYVPHDgWASXyyU9PT1Ru7Wr79ksW90tEdN/pP5pubPk+oj7B9qB+iMMhcFA6Sd6n87VrOXX\n+wSWZq0D2hjtYMag9/+h3gdSWXedvVn7j34NoPxerzeVKOPOOxP6j5nvQeCP68Cs14De8cxe\nfr0eXPYTiF+67E8jbddw0RUWFsZdPnR4+HceTIBua2sLGECIAYWVlZVR5buyuXrA49p87XHX\nATce/IbCYMDCJXinfuM0a/l14QcmPYP1oQSjjDt5PHjNyl+vNK5js9ZB70MOh0OvjqmWutCQ\nn59vqnL7F9bM1wDuoQhZWVmmFUDRh3AdmPkeaubnsP+1wPVAAhktQLvdboFwG28oLi4WCMO9\nvb0DJoE8YPusB6zjgVdQUKBHRVyO9g4saE/N2lGampoinj/QjvLycu2mE+/5A6WdjH1Op1Ny\ncnKkpSWyhj4Z5Yg3DwgN6APt7e3aV4l400nleWVlZdLc3GzKhxcEn4qKCu36RR3MGPDyhYcv\n7kNmDLiH4hreunWraTXQuAbMfA8tLS3VFDy4D5kxFBUVaeXH110zBvQf3IuS0YeiVdyZkWM6\nlpk20AlqFdhCR/PGbLfa5YhhB4UthdPikAtGnRF2HyNJgARIgARIgARIgARSQ4ACdIK4Q2sN\nrUs04a8TL5cflR4ccGiZo1Se3eWfnM47gAo3SIAESIAESIAESCD1BDLahCPVeDE7IWwvdTvG\ngcpz/YQ/yLXjLpVV3Wul3Dlciu3x224PlA/3kQAJkAAJkAAJkAAJDI0ANdBD4zfg2Rh1HssU\n37CTmpQ7gcLzgFS5kwRIgARIgARIgARSS4ACdIL5w4zDrIMfEoyGyZMACZAACZAACZCAKQlQ\ngE5Cs8UzuUoSisUsSIAESIAESIAESIAE4iBAG+g4oMV6CtwHDTbF96aeBnm07hn5pmOZDHeU\nyLHDj5ADS/aONSseTwIkQAIkQAIkQAIkkGACFKATDFhPvqGhQcaOHav5dNXj9OXyzlVyxrLf\nSq/PLW71Q/hw6+fy8xE/kYtGn6UfxiUJkAAJkAAJkAAJkEAaEKAJR5IaAXbQkSZzuGrNzdLt\n7ekTnlEkr/p7pO5pgXDNQAIkQAIkQAIkQAIkkD4EKEAnsS3gkSN4QGFzb4us7KoWn/oLDg6L\nXWmiPwuO5jYJkAAJkAAJkAAJkEAKCVCATiJ8zEwIUw7/oJts+Mfp6xCq3T6PvsklCZAACZAA\nCZAACZBAGhCgAJ3kRsBgwtbW1r5cy5ylUuks79v2X/H4vLJHwXT/KK6TAAmQAAmQAAmQAAmk\nmAAF6BQ0ANzaYZIVPfxp3MViVX8W9acHuzLfOKhkX9mjkAK0zoRLEiABEiABEiABEkgHAhSg\nU9AKbrdbNm/e3JfznKLd5JGpf5PZhTOlSE3hPSZrpFw06iy5ceIf+47hCgmQAAmQAAmQAAmQ\nQHoQoBu7FLVDS0uLFBQUSG5urlaCXfKnyD8m35Si0jBbEiABEiABEiABEiCBaAlQAx0tqQQc\nt2nTJvF4OEgwAWiZJAmQAAmQAAmQAAkkjAAFaIPQzu9+TbZ6+wcHRpMshOf6+vpoDuUxJEAC\nJEACJEACJEACaUKAArQBDXFf0+Myr+clubrjdmn0NseUIqb5hjkHAwmQAAmQAAmQAAmQgDkI\n0AY6znaCT+cn6p+X+zY+Ju3eDi2VTd4G+XP7bXJV/kVSYR0edcrwDf1t7wq5q/5fsrprnRTY\n8uT4siPll1WnisPqiDodHkgCJEACJEACJEACJJB4AtRAx8n4+nV3yN9qHtCEZ6uv3/3cZl+T\nJkTXeOqiTvm79lXyt6/uk+Udq6TX1ytN7q3aNN6/Xnll1GnwQBIgARIgARIgARIggeQQoAAd\nB+fqrvUyf/OrapZAt3b28O5isXttfSk1+1o0c461ng19cQOtvNL0tmR5HDKiq6zvsF6V9v9a\nv5JPWhb1xXGFBEiABEiABEiABEgg9QQoQMfRBl+2fytZFmffmXafXSa0jRKHp98ips3XLsvc\nq/uOibTS6m6Xds82E5DSniIZ1lPYd6jVYpEv277p2+YKCZAACZAACZAACZBA6glQgI6jDbKt\n2eJTf/7B6XVoQrRTaZIRjs86Qo7IOlBbH+ifw9KvucZxVZ3lkufO0U6xqNkJs23ZA53OfSRA\nAiRAAiRAAiRAAkkmQAE6DuB7Fe4u3iABGsk4lCZ6Wuck+VnWsXJi9tyoUs6x5chI5whtKm/9\nhDHtlQJBHPbQBxTvpUdzSQIkQAIkQAIkQAIkkAYEKEDH0QgljiK5evzFSui1iE39IWBpV38n\nDT9Gjs4+NKZUjx7+Q8myOvvScvhsMq59pFxQebpMzBkbU1o8mARIgARIgARIgARIILEE+o12\nE5tPxqV+ZOnBSrgdJ881vCwtW1pkbFaV7FEwXYod/TbM0VZ6uHOYnDfydFnYulhqXfWSb8uV\n6fk7y2TfDgJ3eRZlC81AAiRAAiRAAiRAAiSQHgQoQA+hHSbnTpQ/jvu1NOQ2yNatW6NK6enu\n/0qPzyX/L+f4gOPzlCnHASWB5hpdXV1SW1srVVVVFKIDaHGDBEiABEiABEiABFJHgAJ0Etm/\n1vOePNfzqpZjm69Dzs35mVgtA1vRdHR0UIhOYhsxKxIgARIgARIggfgJ1NfXi9vtlpEjR8af\niAnOHFh6M0EFzFLEtZ4aeaj7mb7ivt/7qdzaeb+41EDBwYIuRMOcg4EESIAESIAESIAE0pXA\nqaeeKvvuu2+6Fs+wclGAHiJKzB74VtOH0uxqGTClcbZR8v+yA802Frm/kes7/i7tvs4Bz8XO\n7VGIbujZIms61qkJazyD8uEBJEACJEACJEACJJAsAjThiJP0qs618rOlv9I0yFWdZWoClCLJ\ns+bIr0adKdnKo0a4MDfrYCmw5Mk/up5QbvC82iHLPau1qb//kn+JZFsG9vmsC9GVlZVitWbu\nu8/arg3yhzV/keWd2yaiybPmyiVjzpNjyw4Ph5VxJEACJEACJEACJJBUAhSg48R94pJz+oRg\nPYkOb5fcteFBuWTseXpUyPIA5xzJV0L07Z0PSq/6Q5hh32lQ4VlPCEL0hg0bNNsiuz3zmq/V\n3SanL/uNtHna9SpLh7dTrl97u+SoCWx+WHpgXzxXSIAESIAESIAEUkegoaFBXnrpJXnnnXdk\n/Pjxcvrpp4cU5rvvvpOnnnpKLrjgAvnHP/4ha9eulcMOO0yWLl0q++23nxxyyCEB56xYsUKe\neOIJOeGEE2TatGkB+9JpI/MksCTQvX39/SHCs55tl69barprZVR2lR4Vstzdsav8Ke/XcmPn\nvZrwfGr2cSHHDBTR09Mj69at04To7OyBtdYDpZOO++ZvflW61IuIrqHXy+hRMXfWPEgBWgfC\nJQmQAAmQAAmkkMCWLVtk9uzZ0tTUJAcddJC8/fbbcu+990phYaA73+XLl8u1114ry5Ytk2ee\neUb7gg4F4Ouvvy6vvPJKiAB91113aemcf/75Kazd4FlTgB6cUcgRX7R9ExLnH7GkY+WAAjSO\nnWSfIDfkXyallpK4XNR5PB5NEz1ixAgpKCjwz97U6991roo4sLLWVSceZQ9tC5r+3NQVZuFJ\ngARIgARIwIQETjnlFM2F78KFC2XSpElaDW6++Wa57LLLZNy4cSE1evfdd2XJkiUCM1SXy6Ut\nr7nmGoGAPXnyZO14eO+YN2+eHHnkkVJeXh6SRjpFZK4hbQIpVzjLBky93Fk64H59Z4V1uNiH\nIAzCK8emTZuksbFRm3BFT9fMy3KHYqL+wgXYQlN4DkeGcSRAAiRAAiSQPAKtra3y1ltvydln\nn90nPCP3iy++WMaMGRO2IDh2p512kpKSEqmoqJDTTjtNUyDCXEMPr732mmzevFnOOOMMPSpt\nlxSg42ia3w9g42xR03vPLNgljlRDT1ncu0S8vm2DDUP39sdAgK6pqdH8LvbHmnNt7vBDxaP+\ngoPDYpfjyo4IjuY2CZAACZAACZBAkgl8/fXXmuIu2EbZZrPJ9OnTw5ZG11LrO2EzfeCBB2r2\nznrcY489JmVlZfKjH/1Ij0rbJQXoOJoGGuizKk8Je+aPy+aGjY818h3Xx3JD5z1yR+e/Ipo0\n+KeJWQthF41BhmYOO+aOlz+P+51Y1V+WNUv9nGJTf5gm/ULl4YSBBEiABEiABEggtQSguEPI\nz88PKciwYcNC4hBRWhr6df7MM8+UNWvWyMcffywtLS3y4osvCvxIOxyOsGmkU2T4b+XpVMI0\nLcv5o86QI0oPkr+uvVPcvb0ywTpKjh1+uGTbhj6oD5rnf3Y9pdX8M/eX0tyxVX6fe64UWkM7\nqj8e2EVv3LhR0HnDdVT/Y9N5/Rjlrm7Pwt3ko/b/icvqkkm2CbJHYfg32nSuB8tGAiRAAiRA\nAplIYMaMGVq11q9fH1K92trakLhIEccff7xgsCDsnpFmd3e3Kcw3UB8K0JFaNYr4CTlj5YGp\n/ydw47J169YozojukC2+ZvGpPz2s8FTLFR03y+W550uVrUKPjrjEiFhopCFIm9XV3Yiscjml\n4DjJycnR3kojVpY7SIAESIAESIAEkkpg7Nixmh3zo48+KhdddFFf3hCeP/zwQ4GDg2hCbm6u\nnHjiiTJ//nyB+7rdd99ddt1112hOTfkxNOFIeROEFuAQ575yce7Z4pT+TxgN3ka5suMWWepe\nGXpCmBgI0BjZCkN/BhIgARIgARIgARIwksA///lPWbx4sZx88smyaNEigZeNuXPnCr6GxxJg\nxoFxXHBrZ4bBg3rdKEDrJNJsOcsxXa7O+60UWfr9KXb4uuTL3m+jLik6cXV1taYhh8cOBhIg\nARIgARIgARIwgsBRRx0lEKK/+OIL2WOPPeTQQw/VNMjQKMcS5syZI1OmTJGsrCxNGI/l3FQe\nSxOOVNIfJO+J9rHy1/zfy40d98gG7yaZZZ8uJ2cfM8hZ23a3udtl9dZ1yieIRcqlVLMrGjly\npGCEbCpDr7IXv3D1lbKqq1pGZVXK33a8VoocRSFF6vB0ykeNn4vL5paJ1jEyNntUyDGMIAES\nIIFwBKAwsFgs4XYxjgRIwEAC0B7jh9kFhw8fHnZQ4THHHDOoq11MsmK2QAE6zVtsuHWYXJt/\nsTzT/YqclH2UWC2DfzT4pGWhvNO8oM9nMiYfObTkANnHM0ubvdDpdKak1v9peE2uXvd/fXk3\nupvlwMU/lrMrT5VfjTqtL/7DrZ/JH1b/Rdw+t1bfHq9LjlEDNK8a95uo6t+XEFdIgAS2KwIQ\nnOvq6rRB1Km6z21XwFlZEvieQLiJUzIdzuDSWKYTMEH9ci05clrOCZJlGVzwXd6xWhOeMRV2\nr69X+2H9jeb35LvWlYIRs6lydecvPPtj/+emx6Wlt0WLquneJL9bdbV0qum8Xar83d4ebUDl\ny41vykOb5vmfxnUSIAES6CMAkzXYUba1tfXFcYUESIAEEkWAArTBZPHZ0Gq1Jv3zYa2nXqvJ\np62LlLgcOvkKvHp81vKleL1ewShZI72GRIPwhrV/H/Cwi1b+Sdv/wpbXlNFJaOhV2ujH6p8L\n3cEYEiCB7Z4Apv/dsGGD5n1ou4dBACRAAkkhQBMOAzDD7gc/CM/+dnf4nIgbOzQjWMK/Ibxj\nYGnkoL43ez6Uf3U/LT/PPkFa3JG9bmx1b9PyIm+43oM9Mmb8SUb4un3pgNls7KnT9m/sqVVa\nc3fYY1E3mKNwOu+weBhJAtslgZ6eHs3/Pe6xDCRAAiSQLAIUoA0gDY1zuABhGrPp6DPq6DP2\nQAuMmz4+NeIXq8sX/7xWuKvloe5nNK3zw2o5KneEFLXlKi1uYJkwmHC4I3B2oObmZk2wx5z0\nkergn9dQ1vctmi3fda2KmMTEnHHavnHZY8RhcWimJ8EHo/wUnoOpcJsEtl8CMEfbtGmT9mVt\n+6XAmpMACaSCQKCUlYoSbId5QljFBCHl5eWCueDhcBzb8YQ3XR+KR/3pocZeJ6sLatQMfr16\nlLaEWcTeRXsExGEDAjzsBocixIckGibi/NFnhIntj/r7xOu1jePLjlRCcmi3tFtscnbVqf0n\ncI0ESGC7JgAzNJijQSHBQAIkQALJJhAqqSS7BNt5fhCmCwsLZfTo0YKZfTArTyzhvJxT5dis\nwwJO6ba7lBC9QTrt3WJTmminGnx4XNkRMiq7KuA4fQMmJRhc6HK59KiELO+fdHPYdK8de0mf\nlr7MWSr3Tb5Z05ZbVdkdFruqg03OrDxFflp+VNjzGUkCJLB9EYAJGn5GmsJtXwRZWxIggaES\noAnHUAkaeD6ciI8aNUrzkrF58+aoBFq4tYNv6Im2sXJ356PSLT1aiTxWr+wwfIIcnXOoFHsK\nxWEduKlhDw0hurKyUvLy8gysVX9Ss4pmypez3pR7ah6RD7d+KjMKdpbLxl7Qf8D3a9Pyd5LX\npj8pK11rxW13y2hfpRTZ+yeUCTmBESRAAtsFAWibYbKRKk9C2wVkVpIESCAqAgNLVVElwYOM\nJgABFppofKJsbGyM6hPlbMcMGZk/Qm7tvF9qvfWyu30X+fXwM5Xls0Xa29ujKqLuoQMDIktK\nSqI6J56D4PPZ3+9zuDRg6zytYKpm2tLSsm3wY7jjGEcCJLB9EMBL/saNG6NSLGwfRFhLEiCB\nVBKgCUcq6Q+QNwYgQoiFWUd2dvYAR/bvGmkbIX9RMxf+0HmAXJh7RlyTjuCTKLTfmIyAn0f7\n2XKNBEggdQQ6OzuTYmaWuhoyZxIgAbMRSAsN9OrVq+XTTz/VZsnbc889QwbUYaDbggULtAFv\n2D9mzBizcY67vPDgAftoaKKbmpoGTQeTrpyZ89NBjxvsgNbWVk3TA5MO3YvIYOdwPwmQAAkY\nTQBf4mDvzEACJJA+BBYvXpx0JdvMmTPTB4AqScoF6KuvvloWLVoke++9t/z3v/+Vxx57TG67\n7TYpKirSQFVXV8svfvELmTBhgiZg33fffXL99dfLnDlz0grkUAuD6apfaXxbVnSulmJ7kRxe\n+gMZmz1KSxbaaJhVwLQD9n/R+Dtd3bVWatq3+VYeY6uS8Tn9Lx3t3g7Jtw5u54zBhevWrdO8\nhOgu+IZaz41qpsH/23CfbFD+nkc4y+TCUb+QSbkThposzycBEsgwAvgCVl9fL3iZZyABEkg/\nAnA8kGgPXnqtnc7BZ2LWj03WMqUC9DfffCPvvfeePPXUU9rgNTTGcccdJ6+++qqcdNJJGoMb\nbrhBjj76aLnooou0SUoeeeQRuf3222XevHkBk5YkC1gi8mlwbZHTl/1GGnubNP/HduUH+f7a\nx+Xq8ZfIUcMP7csSru5g0gEhGp80wwWvzyvPNbwsK7rWBOzeKW9HOXb4EfJp7xdyX9eTckne\nL2UX++SAY8Jt6HbRxcXF2qQr/hPFhDt+oLjXG9+VP6z5a98hq7qq5aOWz+WS0efKz0ac0BfP\nFRIgge2bAJQEcFGHl3gGEiABEkhHAim1gYZW9aabbtKEZ8Cx2+2aSzfdVAFmC8uWLZNjjjmm\nT1ieO3eudmNdunTgme3SEXakMv25+haBEO3y9aoJt0UTojEd99XVt0rt9zP06efabDZNEw+B\nNlxY1Pa1rFSCKc73/1vWsVL+0/a6/L3rEVFzIcpfO+6WT1yLwiURNg6fUeGlI94HmtvrlivW\n3Bg27Vs3/EOae7eG3cdIEiCB7YsAlANr166N+16zfdFibdOdACf6SfcWir98KdVAw74WP4RV\nq1bJK6+8IvC48MMf/lCLw0A2hKqqfv/FpaWlAlU+bOJ23nlnbT/+4dhbb721bxsrELZhMx1v\ngO0vTBcSOZiutbddPm39ImwR4XpuQddCObsidAIRDDDEi0bwxfl13bKAiVX0hD1KnH7DrSZd\nsW2bdAWTr/yt6yHpcfTKEbk/0A8bdLllyxbtJQezF8LtXrThuY0vqxwjT3gwv+U1+d0O5wYk\nBx/ZeGGI9LIQcHAabuCFEAGmN/FOlJPqaqENdHOqVJcl3vxxHZu1D6H/6zOaxlv/VJ6nf3aF\nr/toAgYw474Wy70lXLros0NNQ08X14BZ+w/KjoCB6Pr9SK+XWZa4fnEdmG3CHMgN+IoCEyTI\nMGbtQ2bpJ6koZ0oFaL3CuGmef/75mlkChF4MmkOAcIibYPCNsKCgQDANtX+A4P3SSy/5RwkM\nzocquCT6ptMkkTWvMMfoUPriSHUYOXKkdlHCTly3i+7yRP7kuXPPjtI2rEu+7P5W4+RT+u57\nWx+TbkuPnFh0dAC7gTa6uro0DdGwYcM0+2j9ITnQOc3eyPXEeVu9rRHrmeg2GKjcRuwL7r9G\npJnMNCL1v2SWYSh54eFr9jqYfSDvYPxx/8IXLggbRtQV+Rl53Q1W/qH0z2ScC6ZGcE1GWcPl\nYbZnAITnteorClzI4iUGL8Fm70Ph2mV7j0sLAbqsrExef/11TQt93XXXyZVXXik333yzdsHr\ngqF/Q8FoPXjGPkyJ/dZbb/kfpnXcoYzehtYEnxPDlSEgoyFs2HwWKbTlS6sn1FczzDnGW0YN\nOgId2mj4R4V5xUjnCGnpbdXMN/yLhVn9xjpGyRFZB8ndnkdkQe/Cvt0PtTwtBb15sq9zVl9c\nNCt42GGQIR5U0LLqmtZwdtKznNMHTHJ21oyQeuKGD80JvLCYMaCP4gsGzF8SPctjovjgJQkv\nq4n8CpOosqMf4t7S09OjfdlKVD6JTFd/6OKl1YwB91Bcw/hyFUmDiLpBUwc/z0YFKGWiebGP\nJj9cA7pZYTTHp9MxuIfi+YCJZ8w6+QwUZni2Gdk/EtlGkE/wPNbHKeG5iL6PayDRoby8PNFZ\nMH0/AmkhQOvl2WGHHeSnP/2p3HLLLdrFDhtpdEZ0RH+BGYKbbvqhn4ubpa651uMguAzlwQOh\nAR0/0aNMfzv6HLl+7e0BJg52NYX1DjnjZL/CPQfNH2+40EbDjGX/4jnyXccqpVve9gcWmEwF\nE5PsUzRLm9r7gpzTJMeSLW+5PtJQTbNPkT3tM+ISksAIjPHDDQJlwQMTQrX+Q9uMzRolU3N3\nlGWdK/Xm6VuOcJbLvkWzQ+oJzSHSTzT/voIYvKILncnoQwYXPSA58NfrErAjzTf0z9dm7kPo\nO3gRMPs1gPKjLsEBgmkiBAvkZyQzI9MKZpDIbdxDEcx8D8L1a5byQ9lWU1MTVmFi1j6UyP5p\n9rRTOojw3//+t/z2t78NYIi3ZP2hgWmt8elmyZIlfcdgUCH2+9tF9+006cqxZYfLn5XHjWH2\nbbP/2ZWwe9iwA+T+ybdGPRkKhAUw2aF8gpxe+VPlIq7/TbTKWSFnVJ4kJY5trgEx/ffZOSfL\nMVmHySTbeLkk9xyBwG5EQNvghQdaSwj00FDDvh3r/xx3i8wp2C0gm51zJ8vzuzwYEMcNEiCB\nzCYAYQJaukQIz5lNjrVLVwL40oXnnVm/NqYr13QulzFSU5w1PPDAA+Xee+/VbJePOOIITVB+\n7rnnBPG6xvmwww6Thx56SKZOnaoJ0w888IAcfvjh2qfZOLNNy9Pgrg6/Nne75NhylEC7TXMQ\na2HxyXqm0v5WZqlBfrnbBvn1dPaETeaU7GM0jx8O5TYvkQEaBHw1wO8POb+SgvIC6czplhFZ\n5WJXAyUZSIAEth8CUJLghZoaue2nzTO9pujTMEMy45e6TG8b1O/OO+/U5Mpp06YZWt2UaqDh\nyQH+nVE5eN644IILNM8al156aV8lzz33XM2W7aijjpJjjz1WE6IvvPDCvv2ZtmLvtUlvt2tI\n1YLdIUw6sh3Z4rAOLBwnWngOrgje0qF16q3rEbfLHbyb2yRAAhlKAMIFbJOheabwnKGNvB1W\nC19bKTxH2fDK1NOiTFwsdZtEDS6L8qShHQalK+TMr776amgJhTk75eo/TJwC4RgaCbio0wfN\n6GXFAIg77rhD017CngsG+ZkcYAKBixHmGEOpK84dMWKEYJr0eMPi3iVSYS2TSlu/OUi8aQWf\nhwEhGHUPjTnamIEEdAK4BnT7ZT2OS3MTwIsz7mtYMpBAJhDACyFnyoy+JS1ffyWW75aqQVnQ\n2/rEgjFOc/YRn5+b4uhTi+5ImI/+8Y9/NNQjj3/OKRegURjYOcPeeaAQrR/RgdIwyz5cmNDS\nQAAeSr3xMoKBmXjzinUE83fu1XJr5z8l2+KU3+SepWYtnJQQfNBI4fMXBoXqA14SkhETNQ0B\neF2B9xL2B9M0WcSC4l4GT0iwDcWLEQMJZAIBDBbEC2G8E4tlAgP/OmQ3bhG7eo5HCpZNtWJZ\npRwIqPtBQHj3LfHurrx/KY9VkUK3Uqy68/Ij7Y4YjzY69dRT5aqrrpJrrrlGG4wd8eA4d6SF\nAB1n2VN+2icti2Re/QtS66pTHjPGa4P3JufuEFe5Hq19Rv6+8UHJ6c2Wse2VMsJRJmfLqdqn\nzlg1tM/VvSzXb7ijrxx2r02uyL1AdsqKTgiu8WySmzvvlV78qdkRr2+/U0Z2V8jw7iIpVgMR\nf1R6qIzJ7p/cpi+jKFYwsyK4bVHTlpfYi2R24UwZJ6NlrfKZqZmdKA8eLo9Lzlp+iSzpWK7e\nU71SZCuSmyZeIbOLZkaRAw8xgsCKzjXy8KZ/y5pl66XcVionVRwjeysvLskI+LyPz6LwwsNg\nXgJ4aV+zZo3mBhSCNAMJZAIBDJLHHBU0Q+pvzfIvF0nx6lX9EbGsvf/OgEdvOOAgaZ4ydcBj\nwu2ES2QoIGEaDAE6ESFmG2j4Zz799NPl3Xff3a4N5p+oe17OX3G5fNDyqazqWitvNL0vpyw5\nXz7c+lnM7XRt9e1y+8b7xa0c2emhrnez3LD2Ts1mMJaR6vM2zQ8QnpGe2+qR67v+LstcoS7k\n9Pz8l1lK61xoKeiL8ll8UpNTJ9V5G6Whd4s8UvdvWdqxom9/tCuYTvyhTfPkO+XKDums6Fot\nj9c/J4tav9ZuRhs2bND8re735bHyTYfytqL+8Njd6mmRc1ZcKq9uGfhCi7YcPG5gAh+3/E/1\n5fPk9ab3ZHn7Kvmw5TO5cMUV8simpwc+0cC9EKD5gDIQaJKTQvvhpVj3hZvk7JkdCSSEANwu\n0oY/IWgNTfSTTz7RHFTAAUW4eSmMyixmARqmFi+88IIcdNBBMmHCBPnzn/+saRmMKpAZ0mlw\nbZHbNtyneVrWywthD39XrrlJ3L5+QVjfP9By/pZXwu6GQP3Klrc1oRKfQaPR4txUc0/YtDwW\nr1zbeWeIjXm4g8uspfKX/N/LeKUZ9g8tznZZU1Cj+at+cfMb/rsGXe/1uuWlLW9oIvE2sRhW\nUPj5NEGtw9Op1e8fSx6W4R3F23YGpfqn6puDYrhpNAGP6rvow5h2HX96QJvdWfOgbOpp0KMS\nukRfN+vkFQkFk+aJw8YZYxtgmhXN/SrNq8PikYBGAC/zuttF9uv07hSY/RGmG3BOga/aiQwx\nm3Cccsopcvzxx8t//vMfefTRR+Wvf/2rQFW+7777aprpn/zkJ4KZgzI5fNb6pTiU3+QeX6i3\njHZPhyzvXCU7502OCsF7TQsGPG5J5wo5Ug7WZrODTQ9sheN9o/IqIRodCrZbg2mG8iy5Mrlj\nnLRb22Vztpo23bKtmNmeLG0yFph3tLrbpNAeXVtvctUrc5Dwo27VRKeyrrtGdsqbJNXd62SY\nr0iQz/q8TZr2XAeEFwrcyGgbqxMxfrmqq1q2ulvDJgyPLp+1fiHwW56MgImQYL5ktml8k8Em\n3fLQX3jw0kMBI91ah+UZCgE8K+HkAM9fhvAEGmbuIU1Tdgq/U8XCBlpWLA9VjCm5wjdrtrKB\njuwcortkWMR0w+24//77NRnnySefFPwQ4EL3tttu08aDYaI+o0LMAjQyxkxzJ554ovbDKFQU\n8umnn5azzjpL4GLuhBNOkDPOOEPzuxevsGdUBRORjlfTMH8vUYbJwOvr19yF2R0Q1Tuotrrf\ndhBvVjBzgBAcrxCpT7gSjRAN7XBFt/KMooTZmrx6sahpxyu7+u1SvTHYNYJJZGJqpqzv0/J+\nX91cd7bs0DZGE6I77d19zJQIrQT4+Hxk9yXClYgEPAP0XbSfmpcz4rlG74Ag1tjYKHB3yZC+\nBDALKb6Q0cNG+rYRSxY7Adx/YD4JcySGgQlgoJ8IfhHCqNFiUU4NLEvVpHjfe+EQm118e+0t\nvsr4xlNFyEn23HNPueKKKwJ2v/XWW5rFxE47RRbyA06IciMuAdo/bTzcMJsg/Dj/4x//kHvu\nuUcee+wx7Tdp0iS58cYbBa7qMinMKpwhrjDaZ9Qx25olk3MnRl3dQ0v3F1kT+fCJ2WMDdmLU\nry5EOxwD+3gOONFvA0K0romGB4xIAQMiN6oBkoW9+TKx1Sldth6x+bYJrxBiix2FAad+2vuF\nTLNPlVxLTkA8NqrUxC5W9QfTgOCAuDHZ2z61jM6ulNVKC42AwY/j20bJptzN0pTVop3vtDmD\nT+e2gQR2zJkgebZcwZeU4NDjdckeBTOCoxO63dLSIsOGDZN4+3pCC7edJ46vQTDVgHaHgQQy\niQBeBjFQkLMKGteqvl2miW+HSWJpahSlARRfqVLGKQ9sRod99tlH8PMPcIWMeURg2mFkiNkG\n2j9z2LpBQN5ll120CVDuu+8+TVh++eWX5bXXXpNx48Zp2uiHH37Y/zTTr1dljZCzKk/RBDr/\nysAU4cpxvxGnNTYh7wdFgY2tpwmB8/jyH+mbfUtc1GAfTuPzs7IT+o4LXrmw6sy+KHwZGMzX\n9D7Fs6TAts19TJbXKcW9/eYahw/7QV9aWFnn2Si3dz4oZ7f+QW7tuE8+cv1Punz9mmMwObz0\nB4oQ9Jj9AXU8sHgvZQqyLZ+flh8dwBVHV3WWyaiOCrl45Dn9J3ItIQQcambIP437rWqDwJay\nqZjTR5zY96KTkMwjJArtJkN6EcCLTXV1NYXn9GoWlmaIBHStM6fkHiLISKcr6wVf1UjxVYxI\niPAcKdtExccs/uPG+cwzz8jjjz8uH3zwgWbvNnPmTM1gG/bRmAxFD4ceeqhMmTJF/vWvf2n2\n0Xp8Jix/Nep0mZAzVvMiUe/aLOOzx8gvq06VPQqnx1y92yZdLTevvVvmbX6h79wiW4GcX3VG\n33bwCrQ/0ETDJtp/wpVLxp0rHmVrPG/LfwJOOXvEKXLmyJMD4nQhGuYckTTRF448U55XgxxX\ndlYrgw6v5Fpz5YjSg2RK3g4BaX3cu1DbditfIv9zf639HF12mW7fSfZzzpY5jpkyo2AXKVA2\n0wtaPpfG3mblnq5Q9iraXabm7diXFqb2/t2oX8q/lLeOJs9WLd4hDvl5wY9llmuG9tKQlZXV\ndzxXjCdw6LADZJijRO7f+LisdW2QMvswOaXieDmy9GDjM4siRfRN3HeKioqiOJqHJJIAzTUS\nSZdpp5IA+jZMUql1TmUrJCbvWDyZxVICi3rj6jeyjeJMeN249tprNR+tP/vZzzRb5+nTIwuN\nBxxwgGbDCBvpZAcMQsJFEW8oLi7WBMtYJyGJNz+cB2EBo31jCTCjCSdclJeXay84+Mw6UEAX\nQJ6DDSwcKI3ftl0rtd76sIfs65glF+aeHnbfQJGw83Y6lemIXxtC6Id/4Fh9Yw+UT6L2YTIQ\nDKjFwKpwXwsSla+R6WKmSNx8YrxNDKkI4BV8w4PZ0dixY2My5cA5uDZg9mRWO8ZcNcEA+nyk\nF9whgY7hZNwD0SaY5CaWgMmccA3DzCOZfQhfP5GvEQHXwGD3UCPySUQaYAClFtoNY2jMGPBs\nwzMgUYItlFHo23hJT0TAcwAyUjL6EBRqyQqLFy/Wnmvgl4yAvrzHHnskI6uo84hZA7377rvL\nc889J3Pnzo3qBvXee+/F7TUi6lps5wfqb8240ccT8ICOxiZ6oLSvy79EPu9dLNBEL3GvVLrq\nfltnaJ+NCngI40aEhwFmaqRtrFFk0zsdzGKHkfCjRwe6VkzvUpu/dOCOFxq8gCRTADY/OdbA\nDAQgNEN4TpYQaAYmLGP0BGIWoH/0ox/F5AECwhlD4gngAQctUbxu7tBOsIkeyJxjoFrkK7d3\nBzn31n6t3nZlwvGVYFDhas86zYxjoHPj2QeNBOzUoI3GlwKGzCeANocwh0GFDIklAGEZwgW8\noFC4SCxrpp58AvjaCkWMWb8MJp8YcwxHIGYBGj6fMUAQIxrxg40zQ3oQGKqbu6EK0TqFQmu+\nHOzcR/u51FTgTktkbyFvuT6SXWyTZIStXD896iW0Yxhghs/DMFeBe0WGzCYAgQ42/7SDT1w7\n43oC52SariWuNkyZBPoJQGCGxjnVJlH9JeKamQnELEDvvffeAp96V155pVx++eWaAK0L07Nn\nz6a5Rop7A+w93/7iFbmt50Gpd25zRTZM+XG+ZcwfZLeR+w5aOl2IhgsfI2zmBhKel7vXyANd\n89QQQbuckn2sHO48QOs/3Z5uebP5AzVd+Eo1q6NbRjjL5DA1sG30967ugiuBOsMrCTTRsPeL\n10d2cLpm2nYpF3N3b3xY5m9+VXNBNzZ7lFw06iw5sGTvuKrx8pa35J6NjwgmwCm2F8pJ5cfK\nL6pOFpslcT64n254SR6sfVKkzSsTXKNl78I9ZHbhzIB7CjSjsNeHKQfNd+Jq2ogn4XqH4Eyt\nXERE3GFSAvHa8Ju0uix2kgjE7MbusMMOk48++kgbrQp/zzCOh//nOXPmaHa05513nrz++utJ\nKj6zCSZQ01ItjzW9IqWdFZLvztVmEGxS/pt/sfEa+a7hy+DDw25DiIYpSCJnlMQsjvd0Pao8\ne/jEpWY1fLj7Gbmu429S526Qh+r+Ld+0f6f52oYtda0S4h6te1bWdw88uBKDRmHWkajBIGFh\npUnkhSuulKfq50ubp11jurZ7g1y86hp5rfHdmEv4ZN18+XP1rYp7nZZWs7tF/rnpCblqzc0x\npxXtCXfXPCS3rL9bGnrVgEX1Bz/Ubzd/JG80vx+SBGYEq6mp4cxgIWTii8AAM1w3MN+i8Bwf\nQ56VngQw8BBjJ+ByMdYBsOlZI5YqnQjELEDrhYemD06p582bp9kSvfLKK9oVuYonAABAAElE\nQVSIdwjThx+enKl+9bJw2U/gP5u3vbzAv/K49iop7VH2wd+bof9p5Y39Bw6ypgvRibI3bfG1\nSZYEjpJf4lkpl3bcIKst6zFpd0AJIUi/3vReQFy4DQhXGFQJgcDfe0e4YzMl7tOWL2RR29ch\nU6WD2U3r74pp8Fe3t0f+VvNACH98CXit6V01Tf1qw7E19W7V3Ba6g2blRB/4X+tiaekNnagD\nGiUK0fE3BTT5ECjWrl2rTRhBwTl+ljwz/QigP+MrKvo3J/pJv/bJlBLFbMKhVxwPsM8//1ze\neecd7ffJJ59o2gt8Rv/BD36gH8ZlkglstanJS/zGbVZ2Dpdsj1M25jTIWntzzKXBID18KodQ\namQot5bKX/Mvk+d6XpEXet5Qot42rx09Sh+9Ia9ObN6qbRp0v0zrXA1qym+vWLWpQP12hFnF\nDRR+sqFFh3cSewJmPAqTbUqivmpfokwr1CyPQQIoCrPV3aqZYWDyn2jCKuXvG8JyuJBlccpX\n7UtjmmkzXDrBcUs6lotdmYa4wkwjblczXmI2zKKgWS+RBrRLEKJhzrE9mu0Ec4xmWx8cqA86\njuYcHkMCZiEA22b07aG4ZDVLXVNdzmnTpgWY1yWjPLh/QbmXLiFmAfrtt9+WW2+9VT788EPN\nEB+DeWAX/ac//UkOOeQQgZs7PsxS17xW5dXbG9S/SnoKxelxSIMSouMJ8MMJIRqfeDFwz6gA\noenE7KNkD/s0uavrkT4/0kWu/BDhGXlCmIpGePYvn+7/FEJ0pnrryLXlBM0b6E8A08tHP7gy\nR6WFCXPCBZhW5MaQVrg0wsWh/J4wwjOO9ao8B7KjhxCNrw0wOYLPYYbwBPBlBqZNEC6MvIbD\n5zZwrC7Eoxx4GOKHF1z4y2UggVgJoB9By8yXwljJDe34r7/+WruX4HpORsB9YrfddktGVlHn\nEbMAjdkH4YUDTq1/+ctfymWXXSYTJkyIOkMemFgC433DZaVPTZwSJETn9ebIEZ7ZmtYungkG\nMKHDmDFjNCHaaIf2E+1j5ab8P8jj3S/Ix65FMrIz1COHTQnPwbMfRksSF7jurQMTa2SaB4cD\n1FTot2+4PwQHzHimqhkjhzmid/M3Qc2oWeUcodmdQ2D2DxBm9y6a5R9lyPq0vKlqhso8TVse\nnCBessZEGDyqH6vbRMPcyH8mVH3/9rzUJ5HBAMFkPegG4o22wliFYNd4+GKE8iVy3MVA5eI+\n8xFAn8FLIX7p0LfNR3DoJYYlQvC1PPRUw6cQj9wSPiXjYm1XqxBLcpgNDNoegHvppZfk9ttv\nl2effVaWL1+uDerBvnQRUPDwwA073gC3aKhnMjU2yG8ogx0mFU2WRc1fiNsSKPzkeu1y2pif\nS0d7h/byE09nxJcFaHGhjQZbI7nAu8NMx85ycNY+UDtKbU+degewKpHNp0RnmxTa8+XH5UeJ\n0xrZJd5g7axr4XCzhbYy0Z+CwBjXAmyxE3mTKVJeMorUFOkftyzUWIGZQ7kOzLflyd8n/UXz\nojEYG30/mGDK9Vcb31FRFtUUXk3zj/XrJ1wmu+ZP1Q81bIm23zlvsmbjji8M2e4sKXIXqNa3\nqjafK2XO4VHlBc74dIuXPfRV1AVaTbQ7+qsZA6411AP3hWiDrpHDSyO8ahj9whttOXAcyo+2\ngLCDH4TnSPcNvY7x3JuCy4T7lFFfQuE20awmAWCA6wF9IJX9ILh9YtnGcxjXMO6hwX3bDNc1\n+jMm/UpGH0rmCygGZ6JNkvXygr6MuSrSKcQ8lbd/4dEh3n//fXnjjTcEph3ffvutdtPCdIuw\niU512F6m8g7m7Pb0ypsbXlGTmNRquybZRsnBo49QbdP/wQGauqFo63DR4JMZJraI9EAMLlcs\n29Vd62Vp1wptYNxIxwiZnr+zEgrt8omanGUvx25DFn4hQONiNOohG65uyZ7KG7bE/93ypjS4\nGmXn/MlyQtmRSrAuDFe0QeO29DbJsw3/lfWejVIqJXJs2eEyMWfcoOcN5YDannp5TuVZ39gg\nI7srZKYS5GPRnvvnDbMj2O+PGjVqu5nKG8IEtHF4AU/ENenPN9p1fSpvjKFA2aIJEAIg9A0l\njBvHqbzBD8Ib7vO6KdtQmKbqXFzLeBHUp5JPlsBmVH05lbcxJNGX020q7yEJ0DoW2Ma++eab\n8sQTT2hLxKdDJzerAO15+SXpLB0uraPH6IjjWuJBhHaI5M8Z+2HSYLXG7YxFe1DjwQjWugYp\nrsKGOQnCLS4a3ZvGyz1vy6Pdz6uJVybL+bk/l2HW6E0TwiSvaccgRCfqi0myBehwdRxqHGzH\n8eBK5vWMlzLkOdSAfj1+/HjBAzjSNTDUPBJ9PgRJaKAjTfwAzRyEI9iAQsObbgECNNoB3hBi\nEerRZkOZGIkC9LaeYGYBGs8T9Gv0cVy/ifyKl8jrhgK0MXTTUYDuV0nGUEdoOjCIEP6eoX3+\n5ptvtLNh4H3NNdfI0UcfHUNqPNSfgE1NL1rxxUL1wVykvaxcanfbQ9pGjvI/xLB1PHjxWQ9C\nJD61xhPwcCwpKdF++CKhj4A2WuCCJvTJ7he1In7rWS6XtF8vZ+ecommj4yk3zsENGhOw4PNa\nMj99xVtenhcbAfRBCOL41IiXMdhI4yZs9gBBFAIFhAu8XBp9rRnNJ56vVHhhGIoAbXQdmF5y\nCEBIRt+GUkY3z8BLGAMJpCOBmAXo+++/X37zm99oN248jOCy7txzz9WEZnwuZRgagfwP3tWE\nZ6SSv7lBJr3+irRVqEFdSpBurzTe/gdaKwiRsF0f6mdTnI8fBFMI0rgJGvVwX+lRGiwYR38f\nOnxdckfng/KF41s5M+enkmOJ3tOEngaWKB/8heJmDW0rQ+YRQBtD2MQP2iB80k7UV4dE0YPQ\nrH+Gx4uqUddVosqrpwthKB7NOLSOeLnPhBcenQWX4QmgL6NP4/pEfzFL3w5fG8ZuTwRiFqDR\n0U844QRNYMaEKdTcGdhd4NZJ/YJDQX2dTH71v9KqBGgI0h1KoB4seL0e2dSwSn3+tUqus1Qs\nA5hp4K0f/nRhMxpp4pSv2pZKnZoREFMrlwzi1QHa7PLyci0tXZD2/3xb19MgK5W/4bE5owb2\nsLB+nXhd6rN05Ug5OHsfGWsdKXd2PSz1XuVl5PvwQe9nytZ7rdySf8WQpplGOSH440UCn8yT\nFfCwqO5erw2WHK88YMTqpi+4nPWuzdLc26JxhXu4oYQ2d4fUtWwRh8smpY6SoSQV9bktym81\n7N+tHovkDbH84TLFAxraTZgIQJBOpA18uPxjiUN/hPYWZcbSbEH/9B6viRieNRSgzdbq0ZcX\nL0j6iy36CgMJmI1AzAI0tM8MCSKghNytPzlJmr/6SqqUGUdRzfqAjAo31Urhyy9Ka9XIbYJ0\neUXAfn1j1cZF8mLXAumwbZvNL99jk2Nz95fxVTP0Q8Iu8bkb2iJ/u+iFrV/JhSuukG5fv33l\nnILd5N4pN4VNwz8Svl2h1YVQjrRrGmvl3o0PC6bx1oIaUwTfzr+oOkXK/TwtWFetFMfXX/Ul\nlfXll+JTAs8OBx8qN+dfLo90PSvv9H7ct/9Q535DEp71hCCoYPKVkSNHJkWw+qz1C7lyzU2C\nAXsIxWrA35/HXSwHluytFynqJQTny1Zfr010ojzrahOrnD7iRDlv5GkxC+W9Xrf834Z75Rk1\noA8ePfC3d+Ee8peJl8fk0SPqwqsDuzzd8pd1f5NXGt+Wsu4SKe8aJjvlTpK5ww+VLKuxZhd4\naYHNPh7eEKLhsSGZL02RuKBcMMmAgI+fmTWwqAv4IsQrQONeBMEqkydBitQXMjVeNz/C10l9\nbEum1pX1ynwCcY0ee/nll7XpujFQAxrocL/MR5e4GnYqTfCqww6X7+Yeq4TlULOYwtqNMuW/\n/5EdlHlHrjLz8A+1m1fIv10fSIddCc9QpKpfuxKkn+x5V3k3WON/aNh1fCaGSQce3s1qiuVz\nlv8+QHjGSZ+2fSG/WfGnsOeHi4SWD0L5Ja3XSbNt20NVP045J5J/1j6hb4pStQUIz/oOi7rh\nOj54X7ItWXJO7s/k4txfSoElT3a1T5bDnQfqhw15CVMOTMyB+icyYMa/81f8sU94Rl6YNfDi\nVddoQnAsefd6e+Ws7y6Wb9uXa6dB4MW02A/XPa3YPh5LUtqxN6+/W57f/IpmMoO0ED5vWyy/\nWv6HhH1evar6ZnlDTdW+TVzfliemDX+u4WUt/0T8w8N8sxpzgJcmaHtTEdDfoF3GF6BVq1Zp\nS3wNSXT/S3RdIRwZwZRCVqJbKjnp42UInljWrFmjjUlguyaH+/acy/z58+Wss86SK664ImEY\nYtZAf/zxx3LcccdpmoGZM2fKnDlzEla47T3hDmUGsfLwIyVfDYKq/HKhQAPtH4o21gh+LaPU\nBCe77S6dw8vkoy0L1NRz/kepdQjSSib5ePMCOa508Elv8PCGEP246wUlRAX6k9ZTfr/lE3Er\nTaXdGl0Xeq/pY9lqa5OtBW1S7CqQEWqKcbvPpiUH2+b3mz+RA0r2EufCz/UsQpbWLf2mG7Md\n02WSbZxWOqO1h9B66Xbh8AGbiPDQpn/DADskaQiQ9218TO6ZfEPIvkgR7zQvkHrXFvUqsu2L\ng34cpuT+l8rnzMqTxRGl/2wI8c9tflmVIrBsSGtF5xpZ2PaVzCoc+EuGnn+0yw3dtfJ284ch\nh6M+a7rXaXWr8PtCEXLgECP0lyZ8LYFpR6ICtLLIC8KD/vM3bUpUvslOF/WEBt2IAE64BuPV\nYhtRBqYRHwH0A3zVg7YZ5jgMJLCyo1rWd9do8xRgYrTyrOh8/MdKbtGiRZqp8Y9//GOBnJqo\nEJ3045f7iy++qLmTWbp0qUyZMsVvD1cTRaBdeYlYecRcyVcCdNWXi6SgblNAVjD1wG/r6LGS\nVdop3jCmr5jeu84aqP0NSCRoAw/2joY2qbCWSn124zYhPOiYdepCmJg7Lig2/Oa7W5Vg/33Y\n6lRutxwdUtGlfFH3bBNYkBaCRT0wBwywlVOmIQjF1oGFna3eFsFgw5G2wW3Gg/NE/TduVD6Q\n1Sd+/IwOyztXKfEw1N4dguuqruqYsoOQqb0hhTnLpcxl6pR5x+jsqjB7Q6PQDjABCRagcST8\ncK/pWme4AA0b8CyLs9+0x69YdpXnFuXXOpECNLJDe0NDhge9vwmTX1FiXsWLKARm/QctHISK\nTA8Qeo16MQAvXYjOdG6ZUj+MqYH5Dr6k0LY5U1p1aPXAF9EnNj6njW/B8wV/bzd+KAeX7if7\nDzNeCYs5SWAZMW/evIS+fMcsQFdXV8vee+9N4Xlo/Smus+GFY4X6FSgTDgjS+WpwoX8o3rBO\nrtngkE/LLDJvvEvW5fs9rNVqoTfL//BB1zGTXVlXieS6s2V9vpp1yBKo4ax0hk65HSnRHXPG\nB+zyWryyKXezbHW2SpWaurvEXqzt9ynh2KJuwBHD98JzxP1+O+7vekq+di+TE7OPkh85D4rZ\nFhhJwYE/BCC4ujNywFmFs0xWa4KvX4G/Xy1zxCawD3cM02btC00J7z0WNehz4BcN//OQt7+3\nE/99iEdeRgek2as03OGCR91489U038kKumtH2MFHa3sLIQ/mCugnEJL1pVFCZLLqbkQ+YGGU\n9lkvD15qdH/YehyX6UcAwnK4QePpV1KWyGgCn/Z8KTXfT9wWnPaujqmyoaVG1nZtCHm2vLT1\nTVluWxP2GVWlFF97Z+0enNyg288//7w8+OCDmqL3nHPOkTPPPFP22muvQc+L54CYBegZM2bI\nggX92sR4MuU5QyPQpgYRLle/AmW+gcGGcHenB1hr7LXZLnM222RBuUcTpGvyfErAEtkjb1f9\nsKiW+xfN0bShee4c2bF1tKzPq5NOe7d27piskZJrj362sFMrfyy31dwfotnssvfI6sIN8rfx\n10vX1k5xT5kqjq8Why2fLzv6F4D3XZ/JIvc2/+SPd8+X//V+JefmnCpVtvADL8Nm+H0kBALY\nyRo5Tf2JFcfIp2oQYbCwimnLT6o4dqDihOw7pGR/uW3DfSFKaGhvDyjeS5vSO+SkCBFVWRUy\nQ836+E37dyEmIfDqsXfRrAhnxh89NXdHGZs9SqD99udhVcJ/oS1fRmdFpz2PvwSBZ0IIhgkP\nhOhgd3cQErAfP2iY9eX2oFkOpBR+y0jts54DXkTAmX6hdSLptcTLoy448zpIr7ZJVmkW9PxP\nFrgWhs3u57l2WdGKL66hirEuJU+82vuempQh9NQ9nTPiEqBHjx4tGJ8HLfTs2bM172KhqRsT\nE/MgQvh8hmuhCy+8ULupGVMMphIPAUywsvyoY2XlYUdIh7J/9g/QPO7bYJc7P8uR3yxxytzW\nMTJ59J7+hwy6PjJ7hECIRrB77TK+bZRmcgHN9ENTbh/0/OADbpp4VXCUtn3JqPNk5PAqGT9+\nvBQoW26vsv0OCcpDieuQH4ZER4r4QAnQ/mG5Z41c2n6D/FfNZuj1hZpO+B8bbl23C8eALyMe\nEvsXz5Fzqv6faiWLNjAyy5qlrZ+shOejlOeJWAI0zH/b8TrJteZophAwh4AgPiV3B+XV43ex\nJKUde7NqpzHZSgOrBPBsVS6nxSFFtkK5a9JfJccWbGAfc/IhJ8CG/c4dr1dmGmWabRzyQ/nz\nVD87ueK4uL4chGQSQwTaF1rklStXaoP6MBELBGoM8sMgKJj2wKsMPlNDsDOiP8RQvLQ9FBxg\n85qIgOuPIb0IQHDGtYGv0vBqw+sgvdonnUoDL0vhQjhTwXDHxRI3a9Ys2X///bWxE2effbbs\nuOOOsZwe07GDaqAxyQT8PfsHfFK766675J577pGxY8eG9QX9lXLFxpAcAq2jRgt+RRvUhChK\nI53X2D8NMrR4B9Y75ICGJmlse182zdhNXPkFURcMA/t2yZ8iH7csVK7GuuSHWQfIwSP21wSq\nqBP5/sBDh+0nHxTOl2urb9MGh43MqpQrxl2kCU44RPfW0X3KqdKo3Nj1Kk20xeMWd/kI8ewS\nm/b8j3nnyws9r8tzPa/22Rr3qtfcx9RU4Bs8m+S83FNjLb72gIDgBCEBdrLB2slYE/zlyFPl\n8NIfyCcti5Rm3qv52J6QMzbWZLTj4Z/7telPygdbP5Um91aZlDtBZhfMjMs9W5nyG/7MLvdr\nbb7F1ix5vdmyX9GeSngOY1wfV2lDTxqVXSn/2fUh+ajlc9mwRQ2Obc8XmP1EO0g1NMXBY2Cr\niR+0yvjp21jqAYJBYWEhtZ86kAGWeC4kSojCiwpDehDA9QFFAoXm9GgPM5SiQg0WrO2pDymq\nVfs2HhJtmohBBWhoh4IFhTFjxgh+DOlFoGX0GMGvaN1aZSO9UHLVTU4PFqUdGr5iuQxTPpa3\nTJ4qm6bPFLeaNTCagEk0/LWiECDxQINJQ6yfVQvs+XLLjgO7wEOaI2fvKV27TtM+DfbEodWy\nWWxyQvaRsrtjmtzb+Zis9dZoVcUF+8Os/aOpdsRjoJ2ERhL+rTGN+VA8BEDTi58RAWx/NPwQ\nI5LS/GrvV7yn5scbLw2JEoz8CwtPIT8o2UeafE2yxdf/Euh/TKzruskFTAt0IVlfRpMW6q3P\nqMkphSMTg5mF0bbP/rkhfbRbtHbp/udy3RgCaAMIzRCesc5AAjqBXxX8XH7p+5m+GbDEF9EN\nwzfKYxufDTLRs8qI3jK5qugipZwJlUXs6hme7mFQARqDpz7//PN0rwfL50egZew4aRkzVirr\nN0npJx9LVnO/IG1VN77yZUs0Ybph512kbtfp4smK3rZYzwaf72AXjNkLIUQmIsClGNJfvXp1\n36QMseYzzjZK/pp/qcxX2ujnlTb66KxDZYJtTKzJhBwPwQoDDCFcQZBGWY12pxeSKSPCEtCF\nK12bjG30TyzxMob4oZoAwFwDbT7U6e7DViADIvFSmeiXLLy0U4BOTWfBy1FDQ4Mhvr1TUwPm\nmkgCORZl2ocBWBECvHWdVHWs/Lf+DWn1bDPzgonocRVHJmRgeoRiGB49qABteI5MMDkE1JeD\n9h0nS9vEHcWpTCEqldeO7LZ+N3ZWZRox4uvFMvy7pVK/yzRp2HlX8aopuGMJeGBiIgpo9/Ci\nNRRNbKR88cBE2nBJE+8NHNroHytt9J6OGVJpDWNfHSnzKOKhFUO5oJWBuzt87qcgHQW4GA9B\nX9MF5OBlogU3vajw0IG8EuUbXM/HjEuYbyQ64CWI7BNNOTB9MMc9PpFfFwJz5FamEoDf5ykT\ndpBWd7vmEjUR42mSzY4CdLKJD5CfVdkw29UseNZet3grlKBnj02g9U/6i9Zv5LPaL7WBaXtV\nzJTpJ/xUhq9cIZWLF4nTb5IDu7pBjlR20+VLl8immbvL5slTMPeuf1JqnuUusa1aIZbuHlWu\nCvEq7bZ/gEnH2rVrNUF3MA0dBvBhMo713RulUnl8gJ2uI8xkLJurF4vn1efE0eOW1p0ny/jD\nTtfs7SGs6lME+5chmvXRtoG9OSxRM/l9qGxw3WpmvxkFu8i+xbOjSVY7BoI0/AhDK52fny+t\n9k65/Nu/SKOyR56QPUbunXijOMK8oCztWKHNtgfvE0cPP0xmFsRm6x11AWM8EILiF+3fyJau\nZsl1Zcueqp2cYabUxhTij9c9J82qnvsUzpYjhh8UY079h/cqTfELa7+V9fUbpKLHIZMKSsWn\n4iAw4xdr6HJZZatyKw7FSJ6aDdxuwBdB9HW8IA3Wz2Mtq5mPh/Y5nvaJtc74qoB+adYX1LWb\nHVLT5JD8bI9MrXJJlsPPzWisMBJ8PDjDswbuZ1hHaO2yyOZWu3o8+GREkUdynOlb/gTjYfJD\nIFCoTA0zJSjT2O+vjkypkV89YK8F7Wi8obi4WHvzxo07ocHVIzmPPiy21aukTX1yXp+j/N6q\n6a9de+0tviDvGtGU45Z194RMv52nPDT8bsy5mo/lsmVLlfb5S3GoB19w6FYa1NrdZ0vz+Ana\nLpuym7Z/u80dnH6sL8sprkPVwFLljSU4wJwDZhfhHnINara8X634g+auzC52za3NcOV3+N7J\nN2puzPS0au6/WqasadM3tWWXTU2ocNW14szOF2gCIawaaYd3Z82/ZFHOt1LYq3xfd5doLx52\n5Qni0tHnx+z/+YXNr8k3HcvEZe2Vlu8njemy9Qi8kBxWun9fvTAdOmZ09A+75U+TB6f+n39U\n0tebe1vUNOOXazMPOpVdMmYhLLYXyd2TbpAdc8f3lecBNQX73Rsf7tvGCnw6/2eXhwZ1cYjb\nDrRb+CyP5eqmzXJP9aNqMGWrFPQWqF+O2HzZMkcNjizOim3wIu5oqxsc0tRuUx48ID5ve9BP\nqHDJsDxvQHnj3cCXhmTYRMPjEQIYpWuAkIUXyHABL434ijSU+7B/uri/6Ez844PXx40bF9Vx\nweeF28YMldDCxht6ei1y3zslsrzOqZQFariwzyIOu0/OO7hJdqhI7LMFrPBlDPdMvPxFE3BN\nwrsGlnpYVJ0lyzdliU2VH6+kXrWYNaEr4eVH/rjO0P+T8ZKm19fIJRQq06dPH1IfirY8GJeU\nrLB48WKtjySrXdCX99hjj2RVL6p8glSNUZ3DgwwmkPXCfLFVrxEM9LPgQaRsN5WxmTg//khU\nD40ptwdrnwwRnpFAh7dLHt30jPiUYN6gPFp8+5OTZeNue4jHESgEZytbzwnvviVTXpwvBStX\nhAjPSMvS4xLn++9iNSRAawHb6HAP/N+tulo5U69RAplHKyMmz4AG8/zll2txSGzth09rwjPc\nu/n/5Xgs4rnlz1p+MOfAA9IoAealzW/Kt1nLpVv5pG7IaZINyt81NMLKL4PcVftQSB0Hitji\natKEZxzj9DqUMD5MJraNlp1aJsg9Xz+gDcLBg+nBjU+GCM8454v2r+Vm9QKUyvCH1X+RlZ3V\n2gtOl7dbm+RkS2+T9vLT490myH2r/EQHC88oM477xfKL+4qvC8p4gEPQqq2t1b5WwEXcOvW1\nBQ9qmL88uPrfiriyM1YT7PgsSqhQS4+lSz5rXawe1uppHUPY2GyXpg6om7c96CGw4Leq3ild\nBsmh+AoCzev2HnCdRxKeE8HGX6hLRPqJSPPfnxbKStX3fKoPujxW9YXLovqhRe56c5i0d+MF\nLz0CrlUMGMZ16c95lRL8V9RhnIy6B3ut6qdmKlV1+Xx1jmxpNeCzTnpUn6UggZgJUICOGZnB\nJyhB2bH4i/Cz76nXfJuaLCWWUOsKdRWjn7+upz8t2DvXKZd23/z0JM0G2htktpG3ZbNM+vA9\nGdveJs4wn88tSiBST0496YAlBAvchPEFQA+r1RTQSzuWa0KZHoclBNX63s3yRdvXWnTVO5/5\n7+5bhzBd1tG3qWm14DDdiGm2P3J9rjTF/dqZVmeHrCmo0TTIrZ5ATXh/CcKv/bv+P2F3WH1W\npVXNk/+ufE1j8/l3C2WC8qtd2TVcilz5kuVR5jrfy4kvbHk1bBrJiKzraZDP275ULw+BbQt/\nnS3uNs21HcoRLDxbVNlRh0JVl0YlENfU1mj1hO9kmPfAHSYEaGjBgl+uVmzdIl1WpeFTQnNA\nUIm6LZ2yqbM1IHqwjfoWZZmmHvDhQmO72mdQ0P1AG5ScKZNJhu2zP5jgvuO/Lx3XXeoy+nxN\njiZ0BpZvmxD6xdrYvq4EpmHcFr6ywrMQXmaDw7LabcJ/cLy6JSvBOlABE3IMI0gggwkY9zTJ\nYEiJrJpFCagWaJzDBiWVJHhwjicrW2pmz5GGnXbRZjUcBltnv7IUuHslv61FmpxZ0pCtHgR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IpOU87RPjVN1/lbxlrEpRWSVeitnrj79O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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, color=drv)) +\n",
    "  geom_smooth(mapping = aes(x = displ, y = hwy, color=drv, linetype=drv))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Geoms like `geom_smooth()` use single geometric object to display multiple rows of data. If you don't necessarily want to add other distinguishing features to the geom like color, can use `group` aesthetic (for a categorical variable) to draw multiple objects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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CuAryYCRIAIEAEiQASIQBQIkEBHAZqV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L+PWvf13b4e7CMjFLRCAmBCBthBQSXgyN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\nSIAESIAESIAEkpzA/wfl020qwn2GjAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data=mpg) +\n",
    "    geom_smooth(mapping=aes(x=displ,y=hwy,group=drv))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Global mappings vs local mappings\n",
    "\n",
    "`ggplot()` function contains *global* mapping, while each geom has a local mapping\n",
    "\n",
    " * `lm` from **stats** for linear models (you can also fit other models)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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D2W1dm21Pv5Q4cObQvQsYIpW4k3YBnH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\nQIDO81KbAAECBAgQIECg4gL/D1LDHRXMB2AiAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# global mapping of displ and hwy creates x and yaxis\n",
    "ggplot(data=mpg, mapping=aes(x=displ,y=hwy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AIkQAIkQAIkQAKBImAKDbTD4cADDzwA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\nA92u7kz/TW5CAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# mapping color to class for point geom while using global x and y mappings\n",
    "ggplot(data=mpg, mapping=aes(x=displ,y=hwy)) + geom_point(mapping=aes(color=class))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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nUqli1b5lSGOyRAAiRAAiRAAiRAAiTg\nKwKm0EBbrVY89NBDsFjKw1c7Tv7RRx/FuHHjcPvtt+vjc+bMwdNPP4358+e7LO9Yl9skQAIk\nQAIkQAIkQAIkUN8ETKGBnjdvnhaGR4wY4TS/9PR0bN68WWugDeF6zJgxOHjwIDZt2uRUljsk\nQAIkQAIkQAIkQAIk4AsCDa6B3rp1K0SAfu211zB37lynOR8+fFjvt2jRwp6fmJiIsLAwpKSk\noGfPnvb8/Px8rFu3zr4vG02aNEFCQoJTnjs7IqyHhoYiOLiauNruNOLlMsYDRVBQkObh5e6O\nq3nhaLPZTD9OY5Ly/TJzCgkJ0d9Ns49TvpuS5FqS82/WJOOU68nsPI3fIzn/ZuZpnGez8xSO\nkoSr2cfKe5LxreInCZiHQIMK0EVFRdp045ZbbkFycnIVKocOHUJ4eLj+czwYGxuLzMxMxyzs\n27cPU6ZMccp74IEH8Le//c0pz90ds/+gGvOQccpDBVP9EfAXnpGRkfU3aS+21LhxYy+2Xn9N\n+8t5j4uLq79Je7Elf+EZFRUF+TN7OtHvSaIkYyIBMxFoUAF69uzZaNu2LUaPHu2SiWiuSktL\nqxwrKyur8oMnP9Y33HCDU9nOnTsjNzfXKc+dnYiICIhwb2Ytj2gkoqOjNZ/CQhUC3MRJfvjl\nnMmfmZNxEzX7D7VozOSvuLjYzDgh15Fo+fLy8kx/LcmDutmvI/k9lHEWFBT4xbXkD9eRPITK\nb31JSYnpryWz35MEYExMjF/ck0x9sjk4vyHQYAK0eN345JNP0Lt3b9xzzz0a2I4dO7RQIPsz\nZsxAUlKSvlHID7Eh3EjB7OxsNG/e3AmylL3rrruc8sQlnri+8zTJjUpu+mYW+OS1syFA12WO\nnjI5nvLyxkBuUGYXUAyNrtl5imAq31Gzj1OEZ/mTh1hZKGzWJA8jMk6z8xThxBCgRZgyc5Jr\nyew8haWMUx5E66Jo8SV/f7knGQK0N8693O+YSMBMBBpMgJYfrmuvvdaJRUZGhhZce/TooQWE\nVq1a6Rvbxo0bMWjQIF1WFhXKzdjRLtqpEe6QAAmQAAmQAAmQAAmQgBcJNJgALXZ8lW2WU1NT\nIX+O+aNGjcKbb76J7t27a2FaFhuee+65eoGgF7mwaRIgARIgARIgARIgARJwScAUbuxcjuxY\n5o033qhXSI8dOxYTJkzQQvS0adNqqsJjJEACJEACJEACJEACJOA1Ag2mgXY1o+nTp1fJbtSo\nEZ555hlt9yy2irSDqoKIGSRAAiRAAiRAAiRAAj4kYCoBuqZ5+4vrpprmwGMkQAIkQAIkQAIk\nQAL+T8D0Jhz+j5gzIAESIAESIAESIAESCCQCFKAD6WxyLiRAAiRAAiRAAiRAAl4nQAHa64jZ\nAQmQAAmQAAmQAAmQQCARoAAdSGeTcyEBEiABEiABEiABEvA6AQrQXkfMDkiABEiABEiABEiA\nBAKJAAXoQDqbnAsJkAAJkAAJkAAJkIDXCVCA9jpidkACJEACJEACJEACJBBIBChAB9LZ5FxI\ngARIgARIgARIgAS8ToACtNcRswMSIAESIAESIAESIIFAIkABOpDOJudCAiRAAiRAAiRAAiTg\ndQIUoL2OmB2QAAmQAAmQAAmQAAkEEgEK0IF0NjkXEiABEiABEiABEiABrxOgAO11xOyABEiA\nBEiABEiABEggkAhQgA6ks8m5kAAJkAAJkAAJkAAJeJ0ABWivI2YHJEACJEACJEACJEACgUSA\nAnQgnU3OhQRIgARIgARIgARIwOsEKEB7HTE7IAESIAESIAESIAESCCQCFKAD6WxyLiRAAiRA\nAiRAAiRAAl4nQAHa64jZAQmQAAmQAAmQAAmQQCARoAAdSGeTcyEBEiABEiABEiABEvA6AQrQ\nXkfMDkiABEiABEiABEiABAKJAAXoQDqbnAsJkAAJkAAJkAAJkIDXCVCA9jpidkACJEACJEAC\nJEACJBBIBChAB9LZ5FxIgARIgARIgAR8RuDgwYM4fPiwz/pjR+YhEGKeoZw4I8k+uAS5h38F\nLMGIazEMMc0GnziT50xJgARIgARIIEAInHPOOYiOjsayZcsCZEachrsEKEC7S6oeytmsZdj1\ny03I3r/oWGsWpGx6BY07TESbIY/XQw9sggRIgARIgARIgARIwNsEaMLhbcIO7adtnYOcAz8C\ntrJjf6Xq04qMnR+pv08cSnKTBEiABEiABEiABEjArASogfbhmUnfPl/JyyVVe1QCdcaOD5Qm\n+oKqx5hDAiRAAiRAAiTQIATWr1+P7777DqtWrcKQIUMwfvx4tGnTpsaxpKam4u2338aWLVuQ\nmZmJjh07YsyYMTjjjDPs9axWKz755BN8++23yMjIQJcuXXDeeec5lZHC+/btw2uvvYZNmzYh\nPj4evXv3xjXXXIOYmBh7W9xoGALUQPuQe1lxVrW9lRalV3uMB0iABEiABEiABHxL4LPPPkP/\n/v3x0ksvobS0FI888gjatm2LDz/8sNqBLF26FD179sSDDz6IPXv24MiRI5g1axbOPPNMvPHG\nG/Z6d955JyZNmoTly5cjKChIC9xS5umnn7aX2b59u+7/ueeeQ35+Pv766y9Mnz4d/fr1Q3o6\nZQY7qAbaoADtQ/BRSf31wsEqXVpCEN1kYJVsZpAACZAACZAACfiewMaNG3HppZdqzfHmzZux\nYMEC7N+/H4MHD8Y//vEPFBUVuRzUfffdh8LCQojwu3DhQvzyyy/YvXs3goODMXv2bF0nJydH\nb990001Yt24dPvjgA61p7tWrF2bOnImyMmXmqdKrr74KKSta8K+++gpLlizBe++9hx07dmDe\nvHm6DP9pOAI04fAh++S+dyH7wCLYlN2zMn4+1nMQgoLD0KznTT4cCbsiARIgARIgARKojoCY\nbRQUFOCJJ55AWFiYLiZC8Msvv4zffvsN2dnZaNKkiVN1m80GEaAjIiLQrFkz+7FWrVppwXvv\n3r32PNE6i5B+6NAhNG/eXGuhf/75Z0RGRmphWwpKmeLiYvz6669aWy39i9Za6iQnJ9vb4kbD\nEKAG2ofcIxO6oNOoBYhI6GrvNTKxNzqf8zHCYlrZ87hBAiRAAiRAAiTQcATWrFmj3dN17tzZ\naRBiPnHzzTdXEZ6lkMVigbi169OnDz766CM89NBDuPzyy7VJh5h2iDAsKTY2FmLCIQJzy5Yt\nMXDgQPzf//0fdu7cqYVvXUj9I7bOclw04U2bNsUll1yCd955B1FRUUYRfjYgAQrQPoYfrcw4\nuo35Fr0vXo/ekzei6+jPENmom49Hwe5IgARIgARIgASqI3DgwIE6LdQTAbd169aYOHGitnkW\n2+UpU6bgpJNOcupKTDW+/vprXHbZZRDN9MMPP6wFaSkr9taSRHj/888/9THZFlOPK6+8UueL\nQM7UsAQoQDcQ/+CwWASHRjdQ7+yWBEiABEiABEigOgLt27eHeNMoKXH2nCVRB1955RVt41y5\nriwYnDp1Krp3764XEO7atQsff/yxtpkWu2gx8TCS2DmPGjUKc+fO1QsNV6xYgaFDh+rFhKKZ\nNlKjRo3wz3/+UwdqkfGICUlaWhruvfdeowg/G4gABegGAs9uSYAESIAESIAEzElAXNaJqznR\n+jqmZ599FjfeeKNeUOiYL9urV6/W2uMLLrjAydXdtm3btAcNQ7NsmIcYHjfE9GPQoEG49dZb\ndZNGaPDJkydrbXZeXp7Ob9y4MW644QZ069aN4cM1kYb9h4sIG5Y/eycBEiABEiABEjAZATGl\nEAFXhFqxXR4wYIA2uXjxxRdx+umnV/HXLMMX93WhoaF4/fXXtfu5Hj164Pfff8c999yjFwSK\nRw3RQosd9VlnnYXHHntMLxgcMWKE9vMsbvLEv/Po0aM1jb///e/a+4fYUV977bVISkrSGm3x\nCT1jxgyTETvxhkMB2sfnvFStIVi1MAEpe8JgUZ44kjsWof/IbATxTPj4TLA7EiABEiABEnBN\nICQkBIsWLdIaX1nMJ9poSRdeeKH2Cy0eMSonsX1+9913IVpqCZwidWTxn9g3i8mGuK0TjxoS\nUEWEc7Fnvuuuu3QzooXu27evNtUQTbOkk08+WdcVQfvTTz/VeXFxcdrThyxQZGpYAhb1NFRh\nlNOwY6n33o8ePard0HjasHx5s7Ky7L4YPa1fXfniAuDrl5qhrNSiishfOfrQCCvOuzkF6np1\nO4l7G3GTI3ZVEunIzElWHIsdmYzVzEl+6CSlpKSYeZh6lbZoOUSbYeYktnvizknsAo2bjxnH\nKzdCifAl0cDMnEQzJdeSjLM6H7RmGb9cS2a/jsLDwyG/9XId5ebmmgWdy3F4657ksrM6Znr7\nnhQdHQ0RHhsiiTs78ZAh7ujkt8KdJL97ct+TOjUlsWcWt3Tt2rXT17ersqIBl4iEkjp06KC9\nfbgqxzzfEvBAZPPtwAKxt98/bewgPMsMRYgGSgqDsPKrBJwy/qje5z8kQAIkQAIkQALmICC+\nmcU8w5Pk6Ae6pnpiliF/NSXxQy3hwJnMRYCLCH14PtIPiDP2cqHZuVsLjuwKd87iHgmQAAmQ\nAAmQAAmQgCkJUID24WmpyVjmmHmVD0fDrkiABEiABEiABEiABOpCgAJ0XajVsU5UvMS3d2Vy\nbkN8Urnj9Do2zWokQAIkQAIkQAIkQAI+IkAB2kegpZuTzzcW+zkK0eXbg+zHfDggdkUCJEAC\nJEACJEACJOAxAQrQHiOre4XElqU445J0hEcbmmgbImPLMOLKNMQmlrvIqXvrrEkCJEACJEAC\nJEACJOALAvTC4QvKDn00bVOCMbekOuRwkwRIgARIgARIgARIwJ8IUAPtT2eLYyUBEiABEiAB\nEiABEmhwAhSgG/wUcAAkQAIkQAIkQAIkQAL+RIACtD+dLY6VBEiABEiABEjAqwQCOECzV7md\naI3TBtrHZ7wodx92/zINhZmbdM9RSQPQbugLCI2oORKRj4fJ7kiABEiABEjghCVgVcEZCgsL\nfTJ/i8UCiXbI5F8EKED78HwV5uzBls9HKFfQ4oWjPOWlLMOmj09FzwuXISSisZHNTxIgARIg\nARIggQYiIFro4uJin/QeFBREAdonpOu3E5pw1C/PGlvbveQmJ+HZKGyzFmPP0tuNXX6SAAmQ\nAAmQAAmQAAmYmEBAa6DlqS4qKspj/MHBwfppUF7h1GcqPLq12ubyUlZ6NFZ55SNJxlqXOVY7\nEC8cCA0NhZwL+TNzMpj6A09/OO8yRknyatLMNoXyvfQHnnIdSQoPD9fj1Tsm/UeuJbNfRyEh\n5bc/4Wr2scr3U66j+r4n1efXx/j99Na1ZLRfn2NmWyRwPAQCWoAWMHW96KReXevW9YR40p9j\nWcftuvbti3ocZ/1SJs8Tl6c/nHt/GKPxDfKHscoYzTxOx7E5bhuM+UkCgUYgoAVoeVovKCjw\n+JyJhic/Px9lZRW2yh434qJCRHwXFB7d7OKI0tKpxYR5eXkuj7nKFK1ZbGysHqMn9Vy15e08\nGWtJSYnPFmTUdT7R0dG6qtl5RkREQLRmZh9nWFiYHqdcS2bWnInGTMZqdp4ilMi5l4VNRUVF\ndf2a+6SeXEtm5ym/8zJO+W3yh7F6455Un18Gb9+TjN/n+hwz2yKB4yFg7nfqxzMzE9ZtN/RF\npRIvf63tNLygULQ741mnLO6QAAmQAAmQAAmQAAmYkwAFaB+el4i49ug2bjEiG/cGlNBsUX9R\nTQahx4SldGPnw/PArkiABEiABEiABEjgeAgEtAnH8YCpra64t5HXvp6miNi26HreF55WY3kS\nIAESIAESIAESIAGTEKAAXccTkZKSgpYtW5p6UUcdp8ZqJEACJEACJEACJiawa9cufPrppxBv\nMmPGjEH79u19NlpRIMq6FlmTcSInmnDU8ezLwpP09PQ61mY1EiABEiABEiCBgCCghEnLD98j\n+N//h+C770TwrMdh2brFa1ObNGkS+vbti1WrVuHNN99Ejx498PXXX3utP8eGMzMz0adPH+zd\nu9cx+4TcpgB9HKc9IyPD9Kvhj2N6rEoCJEACJEACJFALgaC330TQ11/AomQCi0Qv3LsHQS+9\nAMvaNbXU9PywCM2ffPIJNm3ahHfeeUcL0RdccAHuuOMOzxurQ42jR49i69bqY1rUoUm/rUIB\n+jhP3ZEjRzxqIS8rGL9/moDPnmmGz59thj++jEdhLk+DRxBZmARIgARIgATMQGDXTljWrIbF\nwe2thDmzqFDgQe/Pg7J1qNdRiszxn//8B61atbK3O3z4cOzZs8cesGr16tW4+uqrcdZZZ+G6\n667DihUr7GVlY82aNTp/1KhRWvA+ePCg0/EvvvgCU6dO1fWvvPJKfPPNN/q4uHucMWOG3r7/\n/vvx/fff6+3s7GzI/rnnnosrrrgCixYtsre3dOlSPPbYY1iwYAHGjRunP+0H/XyDkttxnkDx\nySpPZO6k/OwgLHorCYe2R6C0WPlGLgrCvi2RWDQnCUUF5ZEF3WmHZUiABEiABEiABBqegGX7\nNgkJ7HIglrxcID3N5bG6Zo4ePRr33XefU/X58+dj0KBBek2WCNjDhg3T9skiPIv/+NNOOw1b\ntpSblCxevBhDhgxBbm4uxBRk+fLl2iTDEKJnz56Nyy67DB06dMCUKVN0TIzzzjsPf/zxh7a3\nFtMRSb1790ZycrL2oX7SSSdpIXv8+PG6zPnnn6+141Lur7/+wtNPP41//vOfSEhIqFNsDmnH\njImLCOvhrKSmpiImJkZ/cWpqbtOvsSgtscBmrRCWZbu4IAh/rYhB7zNzaqrOYyRAAiRAAiRA\nAmYioIJaKSm1+hGFqONeTCKcLlmyBMuWLdO9bNiwQQu9//73v9G0aVNMnjwZ3bt3t2unp0+f\nDhHC581T2nGVRMgeMGAAHnnkEbzwwgsQBwmzZs3C9ddfr4+LMN2kSRPdvgjpl1xyiRbgpd0u\nXbrg0UcfxaFDh7By5UrEx8fjpptu0vl33303Lr/8ct2GtClabOknkBIF6Ho4mzb1qkae+sQr\nR00pZU+4k/BslLUqIfrIrnAK0AYQfpIACZAACZCAHxCw9egFfPpxlZHaJKdZM6BRoyrH6itD\nhOSZM2fi448/hmiBJQ0ePBgdO3ZE586dISYaIiyLGUZiYqJes7V27Vo0b94c9957r30YEo1V\nBGBJ0qYIxNKmaK2lvER0lrftrpKYh4gmWgRpIx04cEDLRPv379dZEvWzX79+xuGA+aQJRz2d\nSrENysmpWYMcHKIvKZc91nTMZQVmkgAJkAAJkAAJNCwBpeW1jhkPm9JCy58km5h0qDgRZVde\n7ZWxiQu5G264AU899ZTW7I4dO9bej7wNF6FWBFoJ/37zzTdrc4wff/wRYqssdaWMhF43/s4+\n+2xcdNFFuo1nnnlGu8ST+qI5njhxotZk2zuotCFeOaKiouxtSZutW7fWttKyLUlMN4ztStX9\nepca6Ho8ffJlky+SPM25Sq26F2DrspgqWmhLkA2t1TEmEiABEiABEiAB/yJgG3k2rG3bwvL7\nUthkTVSbtrAOG64kR+9on2WhnphtyAK9Xr2UBtwhic2x2CuL4Cx/IjSLJlrMMz766CPExcWh\nRYsW2mTDqLZw4UKEKlMU0TTfc889ePLJJzFt2jR9uEwtjpT+RPCWJDbVkuTNu6ROnTpB6j/8\n8MN2IXnHjh16bGL6EciJGuh6PLvyRRMhurrUdXAu4puUqC9ZhSZahOekVsXo0C+/umrMJwES\nIAESIAESMDEBW+cusCqNs/W2O2GdcKHXhOc5c+Zo++UHHngAov395Zdf7H8ig0i66qqr8OGH\nH0L2RYCWcmLWIUlslMX93eeff66PiyAui//S0tL0Oi4x9Th8+LAWmEWDfdttt2nTD8OEo3Hj\nxrqdP//8E1lZWVoTLqYaYvoh/Yj5x9/+9jd8+eWXdYrWrBv3k3+oga7nEyVmHLGxsfoVSeWm\nZS3B8MvTsWtdFA7vCIdFPb606FyItj0L9Hbl8twnARIgARIgARIgAYPAc889p7W/xiI/I18+\nRf6QhX2iQRa3ciJIFxUVaQFZ9iX961//0h44xDRDohg2U3basuBPPHJIevzxx3WZV155BRJx\nUARuWTgorvEkiQZb3NWJkHzXXXfpBYfvvvuudocn9thi7zxy5Eg8//zzunwg/6NcFR7Twwfg\nLMW9nLyS8DTJE5Y8WRlPc67qSxhNiUboKsmXsq16nVOdKYerOp7miT2RfPHlqVCe+syc5IFC\nWBlPsGYdq6xYllTTWwQzjF3Cp8rrttps7ht6rI3U4hkZqyywNV7/NfSYXPUv16msHpfASGZO\nYrco15I/BHCSa8ns15Hc6OW3Xq4jcell5uTOPamhx+/te1J0dLQW3nwxTxGL5DfLV7+xwk4E\n0/pOokkW+2NXIbflniy/zY7+pB37F62yLA4UecZVEjaVTVZl8aCYbYQp++8TIdGEwwtnubS0\n1PQ3Dy9Mm02SAAmQAAmQAAmYhIAIwK6EZxmeKGGqE57luByrTniW4/IwX1lJKJ7IThThWRhQ\ngBYKXkj+oNXwwrTZJAmQAAmQAAmQAAkEPAEK0HU4xWWlUAFRaq8orzCrMwMpK82HtdS1X8Xa\nW2YJEiABEiABEiABEiCBhiLg2riloUZj8n7zsoKx6tt4pOwJQ2lEJsJiCrT7ubjE8pWvlYdv\nmHKI03Ij5aetxb7lM1CQuUlnRSX1R+tTZiIyoYtRhJ8kQAIkQAIkQAIkQAImJkANtJsnp7jA\ngsVvJyJ1rxjHl/tB3H0kFttXRiM307XfZ2na0ZSj8Og2bFs4SQnPm+29ikC97dsLUJx3wJ7H\nDRIgARIgARIgARIgAfMSoADt5rnZsToapcVByn2MBaXKn/j3e1ri8+2dsetoPA78FV5jK7LS\nVUw5Dq2bpeqLtrrCDzRghbWsCEc2vFRjGzxIAiRAAiRAAiRAAiRgDgI04XDzPKTtD1WCrgXF\nSv79dL9ydVYYr2su3tsW8RHF6IrqA6GI8CxCdH6q8qOoBehKndpKkZf6R6VM7pIACZAACZAA\nCTQEAXEtJ54mmEigOgIUoKsjUyk/PFK0xjaEBVsQrwKipBxb/1dqDcY3Ozvg5LwMxEVXv7JQ\n/IwWB7dWxh9HKrVcvhsS7p2Qny47YyYJkAAJkAAJkEC1BCRkdWU3bdUW5oETkgAFaDdPexsV\nLXDflghtfXFWMpBVWoCUgkhdO7c4DC993BN3XboWoSGO5hnOjdsanwdb3mYE2fKcD1iC0bjj\nxc553CMBEiABEiABEmgQAvLmOC+v0r3aSyMRbbcESmLyLwK0gXbzfCV3KEKXQXIx2bSQfE6H\nvYgOLbbX3nkwHu9809W+72ojuumpKEsYA5sSmKH/1POLiufdqP0ENO5woasqzCMBEiABEiAB\nEmgAAhKN0Fd/DTA9dnmcBKiB9gBg72E5aNGlEIe2RSAtOx9TO2zCy9/0RklpuReO5ZuaoXlS\nHkYP2eeyVYt6yozvfA0irCMQnPcHLEp4jm0xDLHJp7osz0wSIAESIAESIAESIAHzEaAA7eE5\nSWxRAvnbtasALVQs+anBW/DKpz1UK+Wu7T5d0h7JiQXo3yWt2pYLg9qjTc8zqw2xWW1FHiAB\nEiABEiABEiABEmhwAjThOM5TMKBrGsadvtuhFQve+KIb9hyu2Z7p8OHDyqVd9fbSDg1ykwRI\ngARIgARIgARIwEQEKEDXw8k4/7S9GNg9xd5SsTLpmP1hL2RmS9AV16m4uBgS6puJBEiABEiA\nBEiABEjAvwhQgK7D+dq9PgKHd6hw3qUVla86bws6tMiyZ2TlheOFD3ujUAVfqS5lZWXpSIXV\nHQ+E/DLl43pvziYcytsRCNPhHEiABEiABEiABEgAtIH24Euw6dcYbP5NTDNUNMKISNg2ByOm\nUSm6nJyvPXPcfNFGPPp2f6Rnlbu3258ag9c+74GbL9wAtX7QZZIAKxEREQgNVc6lAywtS/kM\nb2+/D/ll2XpmSeGtcGO32egUNyDAZsrpkAAJkAAJkAAJnEgEqhHrTiQE7s31wPawY8KzUV4W\nDVqQmxmCXWvLBebYqBLcOnEDIsMrVNPrdyTig8UdjUpVPsVFzqFDhwLOHnpD5s94ZettduFZ\nJp5WtB8z109GaqFrLyVV4DCDBEiABEiABEggoAlkZ5cr2fxtkhSg3Txjq79NOFay3NuGY7XM\nwxXa4xZJ+bhhwkYEWSoWCC7+sxV+XNXCsYrTdmFhIdLT053y/H3n491PKo/Z1irTsCqTju8O\n/K9KPjNIgARIgARIwJ8JlBXnojBnL2zWCiWaP8/HF2O/9dZb8dxzz/miq3rvgwK0m0iLCwVV\nVeHZVV73dkdx6ahtTi2//0MnrN/R2CnPcScjI8NnUY8c+/XW9sEC5/kb/YhN9J7cDcYuP0mA\nBEiABEjArwmUFGZi6/dXY8WcTlg9f5D67IwDa1/w6zn5avDLly/3VVf13g9toN1EGqRCdJfp\nwIOuhOiqjQztdwgpmZH4fkVrfdBms+DVz3pg+mVr0DY5t2oFlSOu7dq2bYuQEP8/LXGhSSgs\nqxoG1aIeQpLCW7qcPzNJgARIgARIwJ8I2GxWbPp6Igoyt6phl795tpbmY9/Kx9SuDS37Tav3\n6aSlpeG1117D0qVL0bNnT0yaNAknnXSS7kdCkP/vf//Dd999B9keNmwYpk2bZl9n9cILL6BL\nly4qlsUufPXVV2jZsiXuvvtutU4rCE888YT2DjZ58mRMnDhRtyfl27dvj61bt2LRokXo1asX\nrrrqKnTv3t0+r507d2ot8pYtWxAVFYUhQ4bg9ttvR1hYuSey6sY7a9Ys7N69G5999hmCg4Mx\nY8YMe5v+sEENtJtnqWP/qsJgeVUbwqKqmirIsQuH7US/zqn2HopLgvH8B72RlhVuz3PckC+7\nCNGBkEa2mIpgi+sHgWHN/xYIU+QcSIAESIAETnACR/f+oIVnm7XEiYTs71/1JKxlRU75x7uT\nl6eiHY8ejXfeeQfnnnsuioqKcNppp2mBWNqeOnUq7r33XnTu3BkDBw7EY489pssbcSdEsL7m\nmmvwxRdfYOTIkfj1118xduxYTJgwAXFxcejWrRtEgP7zzz/1UKW8CMzvv/8+LrnkEmzYsAHD\nhw/HgQMH9HERxPv06QN5i37FFVfofh966CHcf//9+nhN45W+oqOjtRDfo4cEpPOv5FrC8a85\n+GS0vc/MxZHd4cg6Ytg7y5OmDUHBNvQ4zbVGOUgpq68ZuwVPzQ/HroNxepw5+WFaiP7H5WsQ\nHVHVTio/P1/bQycmJvpkXt7q5OwWV2Nf3ib8euQDhAbJU6gFJdYiXNrhAXSNP8Vb3bJdEiAB\nEiABEvAZgbyMjaov17pIa1khipRNdGRC53obz+uvvw7x3rV9+3a7hlfiSvzwww/o168f3n77\nba3RHTdunO5ThO2TTz5Z54mQLEmE1k8//VS/7W7dujUuvPBCPPXUU7jzzjv18Z9//lmXN7Ta\n0r5ou+XtuAjJnTp1wiOPPILZs2drzbQI3KL1Fi323/72N6SmpmLZsmW6rZrGe9111+HBBx/U\ngv748eN1eX/6hwK0B2dr5JR0HNgWhq2/xyJXaYvjkwvRvKO266i2lbBQK265aANmvtMfqUfL\nvXUcTo/GSx/1xO2T12n3d5Ury4JCcW0nX3J/TRaLBdd0eRIjlSC9u3A1gmwh6B57OpIiWvnr\nlDhuEiABEiABEnAiEBqhlF3qflddComofu1TdXVqyl+9ejXOOOMMu/AsZUWQlfTqq68iPDwc\nZ511lt6Xf0QLnZycjD/++ENrmSWvb9++dlPRjh07SpbWZusN9U+TJk2c3oaLptrRtHTUqFF2\nDbVowcVMZPHixdi8eTM2bdqkhXnpU1JN49UF/Pgf149Nfjwhbw+9ZedijLgyHb2H5dYqPBtj\nEfd20yatR0xkxSuebfsT8NbX3cREymUS13YlJRXlXRbyg8y2MT0xpv1NOLv1VRSe/eB8cYgk\nQAIkQALuE2jcbrQqXPVGblEmjHEtzoAWsN1vrtaSon2uTrl29OhRJCQkOB0XZVbTpk21PbTR\nuKs33GK+UV1q166d06HGjRvbnR6sW7dO20iLWYgsCBRzjjPPPNNevqbx2gv56QYF6DqeOPlC\nyusKd1OzxgU6oEpIcIW99MrNTfHJz+1dNiH+oQ8ePBhw/qFdTpaZJEACJEACJOCHBEIjm6Dr\nyDdgCQ5XfxGwBIWqvzCEx7ZB5+Ev1vuMOnTooM0mHBsW84uHH35Ym1aIwLpmzRr7YVHGiZDb\nv39/e56nG6Jddkzff/89BgwYoLPEBENsmWUh4dy5c3HTTTdB5BdZ0yWppvHqAn78j/sSoB9P\n0htDlydAsR3yJIJgx1bZyiZ6s7IGrnha/W55Gyxe2dLlEGVxgFwMTCRAAiRAAiRAAuYk0KjN\nSAy4ZCXaDn4ALfreik7DnkffSUuUg4Gm9T5g0fTKwr+nn35aa4FFWJZFe2KqIfbO4snrgQce\nwLZt27B//37cc889WgM9dOjQOo9l7dq1ePPNN1FQUKA/pc8pU6bo9sRUQxYQyjFZqCgeNT78\n8EO9uFEK1DReOS7acDH9EEHf3xIF6OM4Y2Jr1KZNG0RGlts2u9PUgK5pmDhih1PRBYs6YuXm\nJk55xo5E6MnKyjJ27Z/F+YdxZNvnyNy/pN5X+do7cWNj0cqb8fnCM7H4z/LFB5Wr5JRkYOWR\nb7Eu/ScUleVXPsx9EiABEiABEvB7AiIsN+95DdoMvBdJHSeoN9SGw4H6nZpokmWhoGicRfiU\nxYK33XabtmEWWUS8a4iHDNEKy2I/sUkW93PNmzev80DExvm///2vNg8R7xovvfQSRowYodu7\n6667EB8fj2bNmiEpKQnPP/+8doe3Y8cOiPxS03ilAVnYKAK3LHT0t2RRTwwV6lB/G30t4xV7\nIHkq8jSJfY8IrcYriNrqC0JxP5eTk1NbUfvxDxZ3wA9/lPuIlszgICtuu3g9urU9ai9jbIgN\nU6tWrbSgLn0d+PMhpG15U3kACVdPfKUICo1F+6EvI6bZYKOK1z/X734PBUtnINTh21Os1lE0\nUk/eXVqWr/79ct9sfLz7CTW3EDVOK0LUa63rujyDk5LO9fr46tKBmOVISklJqUt1n9WRBaby\n5sOT75vPBufQUaNGjfRiWHmLIq/0zJrE/6jcAESLYuYUExOD2NhYPU55O2XmJNeS2a8jUYDI\nb71cR7m5rj0pmYWxp/ekhhi3mDSKECWRdTMzM+t9CPLWtyY73frsUO6z8pvlq99YYefp3LQs\noARl8eMsMkLlJL9nki+/w8eTxMWdvG1/8cUXtWDeokULl/2J8wPx+yy/Ua5STeMVLx+lpaXa\nh7SrumbNowa6Hs6MfEnl6U6evtxNE4fvxMk9KswzyqxBeOnjnth3pKrnDfniyesN+YKlbPof\n0v96R3WjLnDlIkdChpYVZWLH4itRnOe7VyCFx4RnCYxi/BemhOnMn8qdxi9L+VQLz8oSSruv\nK7WV6MAqszffiH25m93FxHIkQAIkQAIkQAKVCBiKNVfCsxSVh67jFZ4rdVmtsC7lRBtenfAs\nx2sarwjeEoDF3xIF6Ho8Y/KFFUG6ui+0Y1fywHjVeVvRvV2F1quwOATPfdAHaUcjHIvqbRGe\nZVFhyqaXldDswjuHErIzdiyoUs8bGQtXXAMVmFELzo7tiyAtQvRPq6fji30vQIRnV+n7g2+4\nymYeCZAACZAACZCAiQiIV4+aBGMTDdXnQ6EAXc/I5YsmrzvktXBtKVgFYbnxgo1o06zC9CM7\nLwzPLuiNnPyq9lMF+XnIKnTtasZmLUZR9q7auqyX44UZNWuQc9JXIb1ov8u+RKg+VOBsA+6y\nIDNJgARIgARIgAQalIBEPJw5c2aDjsGsnVOA9sKZERtVWQkrNna1pYgwq/YR3SShwlY7JTMK\nzykhurDIWQi3BAWjJLg1CmzlDsod29Zuc+LaOWZ5bTuiUbca245p3B+J4a49iwQhGM0jyx23\n19gID5IACZAACZAACZCASQlQgPbSiZGoPaKJloU/taW46BLcfvE6xEZVRDXceyQWsz/qhZJS\n58UBsS2GosDSBsW2+CrNNu44uUqeNzKGD3gFEoTc5uCOT/qRfVlIOHzALJzf+hYV3NT5AaB8\nLDYdnbB8m/+SAAmQAAmQAAmQgP8RoADtxXMmK2tlxao7hvxNGhXiNhWtMCJMRNPy9Ne+BLz6\naQ+UOTgwiG0+FNFNByPX1gHW4ATttD04LAEdRsxBWHTd3dQYfbrzKR4gwk9/GCLbi9Bs/Fei\n9uOHPqObOLXphbig7V1aiA4NCkeIRTmWD4rCzd1fRpuYHu50wzIkQAIkQAIkQAIkYEoCIaYc\nVYANSuLKyyrT2oKitEnOxS0XbVA20H1QWlb+bLNuRxLmfNUNV4/ZohYnlq9kbdRurAoROhQR\nQUfRumUSgmK6K5d2VRceehNjn3ZXAOrvhxU3ID9zI6IT++CsgS86dTm2zW04M/kyHCjdBIs1\nGO0i+yEiuKqXEadK3CEBEiABEiABEiABkxOgAO2jEyR+ZkVzK540avKJ26VNFq6fsAkvK5d2\nVpuSmFVavqkZoiJKccnZ2+2jDQlPQFRcG+RYwxCvtLsNlUae/EqNXceFJaFl4vkoKVFu7JR/\nUCYSIAESIAESMDsBeYMs920mEqiOAE04qiPjhXzxcyiRC2sL/923UzqmnL9FjUD5hDuWflzV\nEp//0tbYtX/m5eXpIC72DG6QAAmQAAmQAAkcFwF33NEeVwes7PcETKGBlpCPy5Yt0066Bw8e\nXCU0tkQDWrp0qY4KJMdFCPXXJKYcMn7RRNcUJfGUnikoKAzB/B8626f61W/ttCZ65KAD9jzZ\nkChaEvXLiKTndJA7JEACJEACJEACHhGQSMRmjkTo0WRY2CsEGlwD/eCDD+KOO+7A3r178cor\nr+DWW2/VYbSN2e7atQvjx4/XsdI3bNiAqVOnamHbOO6PnyW5uxCe9yOsWctRUlgRSKXyXIaf\ndBBjT9/tlP3B4k5YsqY5inL2Im3PYmQdWo6yklxI2HJfhyLOL83Ggp2P4NmN1+Cj3TNRWJrv\nNFbukAAJkAAJkAAJkEAgEmhQDfT69evx008/Yd68eTqCn8RDv+CCC/DNN9/gkksu0bwfffRR\njBs3DrfffruO8Ddnzhw8/fTTmD9/vlsR/8x20g6sfBipW16HJbjcR3ReaSJCW12J+JbDXQ51\nzGl7kK800YtWtrIff++7TsjZMx99WyxWVh7iA8OKxh0mqeN9Ie7z4uJcB1uxN1APG+syfsTT\nG6/SfUtzqzMW4qt9L+Hu3u+he8Kp9dADmyABEiABEiABEiABcxJoUA10UlKSjnAj4a8lGcKf\noUlNT0/H5s2btQbasEcaM2aMNn/YtGmTOYnWMKqMnR8hdeubqoQSessK9V+U5QCsB15DQabY\nPLtOk0bswOl9DtkP2pRzuC+2/BObDp9WHtbbWqbDeJcUpGp76Px872qCS1XUw2c2Xm0Xno2B\nSZTBWRsur3GRpFGWnyRAAiRAAiRAAiTgrwQaVAMtgrMhPG/fvh1ff/21Nt8455xzNM/Dhw/r\nT/GlbKTExETtEk5sfnv27GlkQ4TtuXPn2vdl49RTT0W3bjVHzXOqcGxHwnBHR0fXuyC4fdvb\nSnYuq9JlOFIRmfsNoloOgNhduUpTx+9R/qBD8fuGJH3YpoKUfLL53wgJKkLnxN/Evx2KMtci\nJuF8zUK00BIR0Rvp692vKp2363GW2kqwKudrDGtZ/gZB+he7b2EqD0hmTsZDmjvBbxpyHsJR\neJp9nEY4e7mWbOpNiVmTrLb3B55yHUmS67q2hcgNzVquJX/5fgpXfxirN+5J9fk9MX4/5ffJ\nGzyN9utzzGyLBI6HgCkkmtTUVNxyyy0QzalomCWCn6RDhw7pcNiVQ2LHxsYiMzPTad5paWl4\n8cUXnfJEwz1o0CCnPHd3vCHsleQfqbb7oJK96N27N8Tmu6ioyGW5myftQcbhDdiaNkwft9pC\n8OHG/+KS3tPRvtGfsJbm2IVm8TnduXNnt8KJu+yshsyMUudFjJWLphXvgZwjf03+MnZDoDI7\nZ2/cTL0xZ3857+LNxx+Sv/CU+0vle4wZ+XrjnuSNeco4vXHuvf1m1Rss2GZgEzCFAC2BRr77\n7juIFvqhhx7C/fffj8cff1xrWUpLKyLzGadCtLSVbyKtWrXCm2+KeURFEq8Uopn2NMnFL+7h\navLX7GmbUj48viuK8kSIrqSNswTrY9KnaNj379+vHyZc9TGp7yzMWx2OHRlD9OEyWzgWbHgc\nl/a9G33bJWmPHEa9NWvWoG3btvWurWoX0dfowuVn+4iTnLjLuZLzKDbuZk4JCQl6eLIg08xJ\nBGe5SZn9hiLXkYxVTLLMroEW7Z6vVtzX9bsVGRmpf/eys7O1X/W6tuOLenItmf06Ei2+vKmT\n66gmj0i+4FVbH966J9XWryfHRUPcuHFj/TvvjWvJXxQGnjBjWf8mYAoB2kDYqVMnXHzxxXji\niSe0ACsaZBGW5QfOUWCWG4hh+mHUlRugmGw4JvkBr8sPo9zsJfBHdeYUjn14st2s923IPviL\nqlJJgIYFSd1vsAuYycnJWvsu7ukqp0Zth2NS8T8xb/0T2HP0JH24xBqJeeueQJMuaxBTViGk\nyvh37typNfr1qb3olzAKMSGNkFvq/BZABhMf2hRdY0+xz0XyRLvjDwK0jFWS2QV9MTmQm5XZ\nx2k8gMq1ZGyXEzbXv2K+Ide82XkaAoS/XEtm52mYBMjvpNnH6q17Un1eifK7JEmudW/wNLvZ\nUn2yZFv+QaBBFxG+//77uPPOO51IGZpf+XETrbIIfhs3brSXkUWFcoE62kXbD5p8I7rJSWh3\n5ksIDhNNZ3mUwZCIJug4Yg4iE7raRy9zl/k1atTInmdsxKg2EjuMxOTe/0SruPVGNkrKIvHC\nJ4Ow44CzBw4RXkSjXd8PAw8N+B4JYcn2/mUjMbwlHlb5TCRAAiRAAiRAAg1PQO79//73v7V5\naHWjeeGFF7BixYrqDtvzxXOaWAcwlRNoUAF62LBhWL16Nb744gutoVy7di0++ugjSL5onCWM\n5qhRo7RphmhjJRT0a6+9hnPPPRdi9uGPKaH1Oeg18U90Pf8bdBvzPXpetAKxzU9zORWZo6vg\nKHHJp6HjkLtx3zX70b55hblBUXEInlug7KgPOtsfizagvoXoRuHN8MzgP/DfAYtxXZen8ehJ\nP2HWycsQG9bY5VyYSQIkQAIkQAKBSsCqHARsyVyGZUe+wMG8baaZpgjQDz/8cI0C9PPPP+9W\nfA0RoJ988knTzK2hB9KgAnSzZs20f+fnnnsO4nlDgqiIZ41//OMfdi433nijtqMcO3YsJkyY\noDXS06ZNsx/3xw1LUDAiG3VDRELnWn1Ziy2haKON143GfC1BoWjcpDnuvWon2iZnG9koVEL0\nswv6YPchZyFaFiYeOKBc5intfX2mltGdcVqziWge1bE+m2VbJEACJEACJOAXBPblbsG0Xwbi\n3ysnYPb6m3Dn0iGYteYqFJcVNPj4xfRL3kSPGDHiuMdy2WWX6ajHx91QgDTQ4DbQEjhFhGNx\nWScL6GShjGMSM4ZnnnkGYvcstopi63yiJfFiIJ5JRACubIoRFVGGOyavw9Pz+2LvkXKhuaAo\nBM+83wd3XrJWCdcVdtSiwZc2WrZsCcNe7URjyfmSAAmQAAmQQH0RKCrLx0MrL0B2cbqOjVBs\nK3d8sCr1O7y++R7c1Ou5+upKt7Ns2TL8+OOP+k29RG+Wt/NTpkzB6NGj9fqx3377TR+7+uqr\n9aJOWTNx00034e9//7vdre/ChQshJrQiV1177bVO45O1Y7IO7Y8//tBmpGeffTauueYarcRb\nvny5DnwnMtnixYv1tlNltdO+fXvcd999OlscGcyePRt79uxBjx49tHLUH81vK8/R2G9QDbQx\nCLFzFnvnysKzcVw+ZbX0iSg8GwzE92ubNm1cetTQQvQl69C6aY5RHFqIni+a6Bh7nmzIosr6\nNudw6oA7JEACJEACJHCCEFiR8hXyS7OrBBaTmAg/H5yPAuVetj7Ttm3bMGvWLFx//fXo16+f\nlgkuuugibdoqAqu8zZe3+jNnztTdyltnMX0V5Zmkb7/9Vkd3loWpAwcOxNSpU7WAqw+qfy6/\n/HItoIu2WdwA33333Xjsscf0YfGU9s477+ht8bgiFgPGnwjGb7zxht3FsAjYQ4YM0QL+pEmT\nIMJ3nz59dCA8oy9///RYAy0G5BIFUJ54xFa5smmBvwOpbfwZh0JxaFs4ykqV54zWxWjeqUgx\nqK2W8/H3VlyG9fkr1TJCCwbFDcMFA15xLlDNnqxCFiF657bN+O3PuTgabEOIcujR3BKLXgMu\nVhrndXhqXl/sTy0XmvOLQpUmui9um7QOHVpWXMSiid61eyuOZPwPhVmbERIkdwBDAABAAElE\nQVTZBF273Y7kxIHV9Ow6u7QwHRm7PkFx7n6Ex7RBow4XIiS83BWc1Cgrs2LLom+RfiBcMbKi\nZfdQdBg8zHVjzHWLwI7s1Vi/f7EKY1OCDpEnoV/jkSfcNegWKBYiARIgAR8QSMnfW20vNhVy\nLL3wEFrFOJtUVlvBzQPinle0yAMGDNDmGZ999pn2VvbDDz/oFkQ4lrgYhhDt2Owdd9yhNcQP\nPPCAzhbPZ126dLEXEQ32o48+iquuukrnSTC6ym++5YAI7/InSTyliTwoWnBD2J4+fbrenzdv\nni5z3XXX6fE+8sgjkEWLgZA8FqBFUywA5syZg3bt2uHKK6/UwnSHDh0CgUeNc9jwcwy2Lo+B\nJUgVU4Lr9lXRSGxRjNMvzkCwGySLi3Nx5289kRek7JClDZU+y/0aS35sj6eH7yrPqOXf3Ru/\nxwsHn0RwogURpXFKBA+CMuxAyspcjBg4VZttPKXMOQ4cE6K1JlrZRN82aT06tSq3lc7K3YnU\nTa8hwpaHeMtfqsctOLDrFxzofyNO6nlvLSMoP5yX+id2LLpChRIvU3/FikkYDq17Cp1GzkNU\nYm8UF+Tih/8dREHhlaqCPGGoMaaEYO/6eRh27Vlu9cFCzgTm7fwPFqqw78GWEPWzbNUPYF3i\nBuPvvd5WESnLo9Q51+AeCZAACZCANwk0i2pbbfNyf06MaF7t8boekLf2ffuWx2MQxZqYeIpz\nBSOJAwIJRFc5iZcz0WA72kOLyYWjAC3K0Ztvvllrms877zyMHz/eKepz5TZFw33ppZdq14Xz\n58/Xpray5kqcQoi74XvvrZApxAx35cqVlZvw2/1jYpz74xe1vtgrCyixaRFhWvw3Dx06VKvv\nveFA3f3Rea/kkV1h2LpCNLsWJTCqP1v5Z/rBMGxa6t7T5VO/DysXnkWedPjLDC7F7F/dEyrf\n3fkWsiN3IiN6C/LCD8NmUfZWFhv2xv2FdX++h5ioUtx16Vonc45y7xx98NfeeA3o8F9zEGa1\nqTlEIdfWDUEqomGwOmJb/TIys0WgrjlZy4qw86frVOTDfMVCoiaqttSntSRP5V+rtkuxfMEv\nSng+RR0LVX/ydBGu/oKRnnEJNi78Wm0zeUJgTcYiJTy/LqQhrwZlxXeZsrX7K3sFPt9bvzZ2\nnoyLZUmABEjgRCZwctPzERUSr27pzuJUiCUUw1tehsgQ9+QDTxiKhzIRRo0klgBi5mqk6iwD\nRD4TgVfsoh2To4/tp59+GqLR7tq1qzYF6dWrl5MQ7FhPtm+//XZtLy3e1Iyos2JbLf3Ivqy3\nMv7EnlrMTQIlOZ9xN2cl9riTJ0/GV199pe1pxR5HVnmKMboEARGttBi5y2uEQEl7NqjwuS6m\nI8L0ng3OCx+rm/M2qCiEIjhXTipvXVntgqtU253wJ2xBJbqFrIi9yA7ff6y1IBy0lK/4jYks\nxZ2XrlMLCCvMNopKgvH8B72xamsxopRbO2MYZbZIZKOL0mcqIVdlbt720rH2qv/IS/lDCcsV\nbVeUVMJdYRry0tYgPe1slS1Cc+UUhP3bnP1HVy7B/aoElh75QH39qnpQKVPC9C9H3q9agTkk\nQAIkQAJeJxAWHIkHBn6KJpGtEaSiCocGReg+BzY9D1d3K7cd9vog3OxA5DP5E/MPI6WmpmLd\nunV6V0wxJKLz4MGD8frrr2t75QcffBBPPfWUdiNs1DE+JV/snkV4Fi24kUQDLgK92EWLktX4\nEzMPsbsOlFQnAdpx8uKKToKhCGxxQyeqezEyl1cEYjvzySefOBb32+2iAhE5DbHTeRqlRe5h\nVLJ2tcn5edB1saz0/bAGFTodzFVa6MzIXVoTXRJUZj8WHaGEaOWFo32LcrMNOVBcGozXvxiO\n7RmD7eVkQ4ToLKWJtkK5uymqGl3QqbCUL85SKCqefh2PW5R5gRy3Wsu13Y7HyreD1NNv1QAx\nVcsxx5FATkm6467TdkGZq4cZpyLcIQESIAES8BKBVjFd8OzpK/DvQV/itj6v6O07+76OsOBy\nYdpL3dapWbFtfu+99/DTTz/pBX//+te/7MpOceQgttNidmFEchYBWzx3ieLUMUnMjnvuuUeX\nF1MNcU5g/Ek58fwhsuDnn3+ubaiXLFmizUHS0tIcm/HrbXm3Xue0d+9efSLmzp2rowWKv0Fx\nSyfuU+T1gjydiLpenlDkpPlzSmxZgrR94bCWVZaCbYhvWq4Rrm1+UdagChMOx8JKs51gE1OH\nmlN8YivEFLZDbuRup4IFoUq4sgWhQ1ZXp/zIcOXi7uJ1eE5pnnccKBdoS8tCsGDD47iox/+h\na9ISe3mrLRw51m5IbHyqPa+6jcjGvWArcxbkjbJiyhHZqAciwtYqTyDSVmVBuwixytwEaG9U\n4acbBDrHDcL27D+1+YZjcVmI2jamt2MWt0mABEiABHxMQLTPXRIG+bhXz7v773//CxFizz//\nfC3YSrA6WYwoSUw/ZIGfCMYiNIupR/v27XWAu8o9idJUjruS7cQiQQRzcbE3ceJEHb9DlK3i\n0UM8cgRKsigzCxeGCdVPLysrCx988AFEaJYnCqnev39/LTSLfbT4cjaS2MCIFlpeGUhZXyfj\nCcrTfsU9i8zTceWpaKAXvtYEJYVBas6GEG1TXzhg6KXpSGpVuxC9ZMtMvJFybPVpRRN6eHe1\neQR92l1R61Dnzb8K37X4UX3TK17nW6whiChpiuktZwFhzZ3GLQ0WFgfhhQ97Y9u+Cg8ZFpRi\nXLeH0btZ+ascaa0gLBw9Bv5HXzg1uRSUNvf89ncc3f25sneumLcO7tJxMloPVlGPVvyMVT9N\nVCVFgDYmW6pecWVj+OVbkNC8vTRjqmREfUxJSTHVuGQw4mN0xp9nKndJOU6mHEGK7z/7foKO\ncf1NN2bx4S5aiyNHjtR7AJ/6nKw87ItNYUZGRn02W+9tiT1hbGysHqe86TNzkmvJjNeRI7Pw\n8HDtJ1fsQuVGb+bk6p5ktvGKnasISeLlKTOz9jeZno5f3Ng62vl6Wt+T8iLXiPziqzVdws5X\nczM4yHmS731SUpKR5fQpx8Tt7fFGfRZhWu4B4oAi0JJ7tgcOsxatsrgj2bhxI2677TaI38FV\nq1ZBogM6Cs9SRb4UotoXAdrfU3ikDcOvSEdiq2I1lfJnjuiEMpw+KcMt4VnmP7TbPZgcPxnK\n+1x5Up/ihm5qk5vdEp6l0qWXvIWzDw5DZNGxlb1K85yc0w/Xhl6Jjt1P13ZIjgsCpE5EmFV7\n4ejerkJAUA7w8NmWB/DnwfHasjY/JhEdek/XPxryGqa2G0qbU2aiSfdrlSVH+WudoJAoNO1x\nE1oN+rd0ifYnn4k+Q+YhNES0zZKsiAhfgSFjl5lSeC4fo3n/jQtLxAP9vkAXpYk2HkiSIzvg\n7t7zTCk8m5ckR0YCJEACJCDKjeqEZ6EjD+zHKzxLOyKPBKLwLHPzWAMt9iyith8zZowOsS2N\n1JTkSa66FaE11auPY/WpgXYcT6lSuoopR1iEIQk7HnVv+0jmGqWNDUOThB7uVahUSh5O9m35\nDglJHRHduIPTUTk/4jS9spaqRPmu/t9nPbB2u/MT54Vn/oVzTqnq8kYefGp7KhY3dmLzHKz8\nP1u0fz+noegdW5HSmqrw5UGhaiGmiZOZNdCO2CyhyoWdUuxb1dsQMydqoOv37FADXb88qYGu\nX57UQNedZ0NooOs+WtY0CHhsAy12M47uU4yGqvtsKOG5uvHUR36ImCuH1l14ljE0a1TugPx4\nxjPwzCtdvi4TH5GyIvbgwYPawbnRR6hSd99wwUa89VU3rNjUzMjGxz93UQsMwzD29D32PNkQ\nd4UijMvrw+qSRQnGIRHVH5d6cUkttJcWeWXEdPwEwoOj9FN9TiEXDx4/TbZAAiRAAiRAAp4T\n8FiF9dBDD+GUU07R0Wa2bNnieY+s4RMC8kQriwBEa+WYgtUZv3rMFpzR96BjNr5c2g4LFnVU\n9t1O2XqxgQjSHprKOzfCPRIgARIgARIgARIIIAIeC9CnnnqqXlF5//33o3v37vpvxowZOs45\nhSxzfTNE+y9+GGWBlGMKUmv6Lj93G0YO2ueYjUUrW+FNpZ1WEbidkjhFF222LKpgIgESIAES\nIAFXBIpVjAEmEjhRCHhswiEuT+RPYrF/8803+PLLL/Hyyy9rjbQsGJSwjxMmTMA555xzojD0\n+Twzjx7BB8tnY7d1M8Jt0Ti5kYpBP+SqaschK6PFrEPOmWOaNGKnWmBYprXPRv7yjc2QXxiC\n68dvQpiytTWShADdt2+f1mpLW+6kMuXcetfaKKTvi0BQSBiSOwKtuhVqzyXu1A+0Mhszf8Vv\nKR8iqyQNneMG4qzmUxAT6r5PbHlAXZH2BVZlfKfc2RWhW+ypODP5UuVr1L1APu7y3JG9Gj8f\nfg8ZRQe1i7yRLaagUfixRavuNsJyJEACJxQB+X0SRUsgOA04oU4cJ1tnAh4vInTVk9jJfv/9\n97jvvvu0Vw4pYwZttLcWEbpi4Ku8/Ye24uFNl6MoJEMtzFNP+8qlnoQQ7ZpzHu49/8UahyGu\n+cSdTOW0eGVLvK/MNwzvDnK8U6ss3HLRekRFVARnkXwRnsU0RBbg1JRKiiz4cW4i8o6GHPOd\nrRaTqvcdyR0LMWTCUVMK0d5cRPjR7ifw5b4XFDIJxq18oKgFpBHBMcqzxudoGtm2JpT6mFxP\nL2y+AWsyvtchvCVT2mgS0Qb/1+8zFUq2IoxrrY3VUGDxwbfxzo771XfKovymqPiUKhxtsPqb\n0fdDtPPQ3zQXEdYAug6HuIiwDtBqqMJFhDXAqcMhUdCIx4W2bdvSjZ2H/LiI0ENgJinunirR\nxWDFt9+KFSuwePFi/ff7779rrw8JCQkYPny4ixrMqg8Cr6z+D4qi05TwfCx2oUXEsTJsif0K\ni/94HyMGTa62GzHlkAWghw4dcnrAGTHwAKIjS/TiQusxH9fb98fjyff64XYViCU+psLXszws\nSQAdMQ0Rv5zVpY2/xCA3M0T5iVb2IjpZ1LZamLgjAvs2RaJNz4LqqgZc/u7c9Up4fl4Lzsbk\nSm3FyqdzFl7fNh0z+nxgZFf7+XvqJ07CsxSUNlIK9+Cj3Y/jik4PV1vX3QPphQcwd8cDepzy\nrZJUqkKFl9lK8dLmWzBz0BJ3m2I5EiCBE4iA4fvZUEIEwtRFqK1s/ujNeYmSJBCdLniTWUO3\n7bEN9KJFizB69GiIdun000+HRLWRk/7AAw9oO2iJcPPxxx839LwCsv8yZZy8P/r3CuHZcZZK\n3vkj5WfHHJfbosUSDXLlC3VwzxTcfNEG5be5QuN8IDUGj8/tj5RM5xCecqGLm7yaAk/s3xrp\nIDxXDEWE6H1bnNurOBqYW6vSvtNa3Mqzs6oHn61Zy1FUll/5UJX9Falf2jXPjgfLlID7R9qX\njll13l6buRghQVUjYoowfaRwF1IK9tS5bVYkARIITAJyP5A3m/IZaEmCqfniT9YXVb4nBxrL\nQJyPxxpoiSj47bffah/Q119/vQ752KFDh0BkY7o5lVmLlcXGMc1z5dGpyIQlcG8BR1RUlHZz\nJwFTHBcG9u6YgTsmr9NRCwuKyr8aaVmRmPlOf0ybtAHtmju7TZOHJVk0IjbWlS9+q/I57Tqp\nGIjF1R1zXcPfc4uthbDaKh5MnOdjQ4kKfy6u6WpKNQnZJep7UR+pRIVnr+kWWGw9cd4a1AdP\ntkECJwIBiTooMQcq3wP8fe5yb6wtoFh9zZEmHPVF0rfteKyBnjJlCh599FGcdtppeOutt9Cx\nY0f06tULt99+O7744guIxwYm7xAIC41AQkF3IxCiUycWWxg6R/V0yqtpR6IQtWnTRts0O5br\n1Cobd/9tDeKjK0IF5xaEYda8vtiwo6q/ZznfsrhQTDscU1JrJdQp85LKKUiFYWzWvqLtyscD\ncb9r/MnV3lzEhtmdhYS9Gg3VNs+V+Ugo767xgytn12m/ixpnaTXCeGRwLJpHdapTu6xEAiQQ\nmATElLPy4vTAnClnRQJVCXgsQIu2+d5779V2z/Lk+fXXX+Pss8/Gjz/+qD1wSDjvIUOGVO2J\nOfVC4OJmtyi5VGmHj9kqS6MWayjiCztgwqk3eNRHWFiYFqLl0zG1bJKHf1y+Bk0bVZgWFJcE\nY/ZHvfDb+maORfW22L+JXbRj5MPeZ2Yre2ux6aoQoi1BNkREl6Fj/4p2qzQWgBn9Gp+NTsrr\nhizGc0xBavHnlE6POGZVuz2i+ZVICGvm1IbUD1YmFxe3/2e19Tw50D62L05uMtapD6kvi1Sv\n6Piwyvf4hZUn3bMsCZCAnxEIVNMNPzsNHG4DEQh+UKW69i0rbjt37ow+ffro1/ji6mz79u0Q\n04DjaLauw6lSTwS7yprRKoVcZERGRmph0Iw2Xa2Tu6JFdhfsTt+PwuCjCC2LQ9f8kZh+2vNq\nUV+Ci9nUnCWvjmJjY1FQUODEKiqiFCf3SMG2fQk4mlPucUOJw1i7LUkJbTZ0bp3l1LC87hJt\ntHwnZHV7eJQNLboU6oWEhXkqWqGK3Cgu7E4Zn4mwyAqh2qmRBt4xFkXK97g+k7zaHNxknNLu\nFuFIwW5tztEutjdu6PYceiSc7lZXoUFhGNL0AmQrF3hpRftVGPggdE84DdN6vIoWUZ3dasOd\nQiclnqM9bxwq2KG10S2iO2Nq58cxqMn57lR3KiPXkXhtEZ5mvJaMwco1IG9k5Bowc5IHXbm2\nZJxil2nmJNdSfV9H9T1f+W7Kd1TM0Mzuv9iM9yTx6iSerowkv3OyxkYcCXgj6qzx/Tf68/an\n/Gb56nsh7GrzbOXt+bJ9zwnUyY2dXBy//PILvvvuOyxcuBDr16/XPQ8YMEBroceNG4d+/Y4/\nVLXn03GuEYhu7IwZyk1fbI/lXMibgONNIgBXDv0tbRaXBOHVz3pg/Y5Epy6G9juIS8/eBjWM\nKkl+QJs0aWI3WxABXV71eeNHtUrnx5FhrCBPSUk5jla8X1WEPXlQyclxtkn3fs+e9UA3dp7x\nqq003djVRsiz43Rj5xkvx9KimNq9WykD1H3DSCIEyj2JbuwMIu5/0gbafVZmKunxO9lXX30V\nd9xxh9aCyBOhuKy78cYbIUJzq1atzDQ3jsUDAnIBi3cOCdvtKJhJMJWbL9yAd7/rgl/XVQTT\nWLKmBTKVZvracZtUMJaKH1HpUh5cxJxDAuu4G3TFg6GyKAmQAAmQQAMSENMNR+G5AYfCrkmg\nwQh4LEDn5+fjoosu0gLzueeeq1//N9jo2XG9EhANggi9IkzL6zkjiZb5itF/ISG2yClqoWil\nn3y3n/bQER/j7AlCXjPv2bNH+4sWDTQTCZAACZCA/xOQe4PZzXP8nzJn4A8EPBagRfvMFNgE\n5DWcBFyp7Od57Ol70EgJ0aKNNgKu7EuJxaNvi5u79WjZxHlxoNhpiocOaSsurn4i5QU2ec6O\nBEiABMxLQEw3UlNTzTtAjowEfEjAYwFaxvbVV1/h+eefx5YtW6p1YeNoBuDD+ZwQXR09nIp1\nCzOQlVGghNN8tOi0H33O7oGgkGC357/zwJfYsfohROQpX85hkYjvNAkDe//LXj8pSS0WVIJv\n5R/L0/seRuO4IrzyaQ8UFpd/fTJzIvDonB4YN2wuRg3sZm+jJPMIMrbOx77fUxFhyUJySBLa\njnsRITHx9jL+spG1/wekbn4DxXkHEJHQBc163YzopP5uD18WpGTsWID07fNRWpSp6g5Acu9p\nCI9r73Yb4i964YHXsSLtC5TYitAz/gyMbT0NcWFJbrfhTkEJ2rLo0FvILDqMNtE9MbbNbWgb\n476LRHf6YBkSIAH/IyAmfjTd8K/zJoqshx9+GFdeeSXat6/9fjN//ny9GHTMmDH+NdEGGK3H\niwh/++03DBs2THts6N+/v/bC4WrcchIaOgXiIsK0PQexZEEX5dVAPGMY7ueKERe/Gmdd11qZ\nX9QepGT9tpdQsnymqm9TDsrKy4sVc2aLvjhrxGdOp008a8iPZuX0/R+f47ul/0BOUYVbOxUi\nBUMHvInLzu6C4rQDOLJ9tqpW4XEjCEWIx0H0mfQzQiLNZ9ZR3SLCIxtfxqE1j6upGLbewsyC\ndkNnI6HN6MpoXO7vWXonMnd/odo45i/bEgxLUAg6j/oIUYm9XNZxzCy1luCRdRdiT+5GFZGw\nPLS6uMWLConDf/p/i0bhyY7F67z9wa7H8M3+lyFREiWJCzuL+u+uXm9DfFF7kriI0BNatZfl\nIsLaGXlSgosIPaEFbdYnts/VpRN9EWFKcS6+Td+O9JJ8dI5MxKjETggLck+p5c1FhOJJRLzi\niNOHESNGVHf67PkXXnghkpOT8eKLL9rzuOGagMca6M8//1y7UNq0aRO6davQNrpunrn1TeDP\nryxKeI5UzTqeujBkZw3A9mVL0OXUHjV2KdqDnJVPQAXa1oKRUViZOaPxwTXYe/gHtEkeaWRr\n0wvRRIuHDsMVWVbBfnQp+x0t+1+H+RuewJHcrrq8TY3p51XXqXJ/YVjMk4Byd+eYrAhHJtph\n2+f/QvfJTzkeMu12cd6hSsKzDFXmZcPe3/+BuJZnISjYeJBxPY2cw78r4Vk9mNgFcKlepv63\nYt+yu9H1/G9cV3TIXXJ4npPwLIdEkM4vzcKC3Y/ihq7POpSu2+bB/O34ev+LamYV582mRGnZ\n+9/WO/DM4D/tnlXq1gNrkQAJ+CMBmm7UfNZ+zNyF27d+rdUN6pddfz63bznm9roQTcNiaq7s\n5aPi7EG8YLmbPv74Y3eLnvDlRG7yKO3atQunnnoqhWePqNVPYRF+c3P7qsYchWej7WAc3l77\n6TyY+guilOAmWsXKqVQtItyze0HlbP302rp1a23SIQf3HvlJC1Wx4WmY0u9mdGz8m1OdJau7\n4N2N96GoNMopv3zHgsOFKTh06JBfvArMPfKb0hS7FpCtpfkoyNzoYo7OWTmHlqgMV+fGpupv\nRllx7e7oVmUstGueHVsvUxrtdRmLHbPqvL0xcwlCgsp9flduJKskFYcLdlbO5j4JkMAJQICm\nG9WfZNE437H1G2VWZ0WRUoyUqs9i9XlI/a7fvW1h9RXreGTZsmU6GvTvv/+Oq666ChMnTtRR\noOUhR6JEjx07FrNmzbKvYZL86667TpvcSpcvvPCC1ka/8cYbmDBhAi655BL88MMP9tHMnj0b\nc+fO1Z60xMPa6tWr7cdk4+2338Zzzz2n88Tb1uOPP45JkybhnHPOwW233aadB8hBEdql3507\nd+rge3L81ltv1fd+XTkA/nF1V69xWuLfWYRophOLgPgeFiG6slu6sOACTO71Dwxq8YETkB0Z\nQ/DG6teQUdDSKd/YERt58dJhdt/Qxni9+1mh8fVuPzW3LqOo+lhVUcdRM12Ryy0SIIFAJiBe\nN8T7FpNrAj+k73D5uymC9IrsA8goqd8ATdu2bdMC8vXXX6/jbUhMAPGMJl7R1qxZowVZEXBn\nzhQzTWhF1WuvvYYDBw7ofTHluOGGG/DWW2/hrLPO0hYFItxu3FiuDJLYHr/++qsO7CLCrwjU\nRhIl3n333QfRakuSemKuK+2MHj1aR6gWMxEpJ7bX0u95550HMf0RV8eLFi3CqFGjjOb8/tNj\nAVqeSATetGnTnEI3+z0JP5iA2ElFx6xVIz1mR+s05jIkdzRsdJ0OOO20aHIG8oOVGYjWITsd\nQoha6Nam7STnTIc9Oe8iRLdvMcLpByPIYsU5nZ/G6M4zVYS8irGl57fDm6tew+6j/R1aASJC\nO+h9eUKVEOCVvX04FW7gnZhmQ5TlhbOLPmNIQSFRiGxU++K62OZnqCquhGSLWpDYDcFhtXso\n6a/CgVcOBS7jkPDafRoNN4Z0XJ+9Gp0BWajoKsWFNkHzyI6uDjGPBEggQAnIb3TlheQBOtU6\nTyuztNDlr7vR4NHS+hWgpd309HTMmTNHx+QQjbAotuQh5/3339da3unTp0PMbatLYhP9008/\naTlO6sh6FRFuK6epU6fiww8/tMt6P/74o+5btNYyBlk39O677+pYIOKh7YknntAaZ8fvzMUX\nX4w333wTt9xyi3Y+sWHDhoDRQtcqQMur9r59+9r/ZAGhnCh5DRAVFYUOHTrYjzmWq3wiuF8/\nBAaep8wvLIWqMUebpmLEqkWEnYZ0r7UTEcJjTvq7uuAtx6xby6uI6J3Rog/aNj+7xjbkabdv\n9zOQ2SRR/2gYYqF8DmjxGcac/iiiIirGVlAaj/fWPYuVBy7U7VpsoUjoM9Gpj7S0NP10bMbw\nxGHRLdC873SlmnW8VERPG4Q2Qx6v1f5ZJhqbfCoS2p6v2nAwvdGLCENVG084sahu58zkS5VH\njB5OQnT5IsJ4XNz+vuqqeZQvIcFHt7xRzaxi4YssIpT967o+Rftnj2iyMAn4PwEGTKn9HHaL\nTnK6lzrWCFeLCFuF17/XKRGYRd6SJPdkUWyJBtpIEglYZLfq0sCBA3W8BzkuMoEEUcvNza1S\nXEw8ZHHol19+qY+988472uxDog0nJiZiwYIFWrgWbfaMGTO0tw8pKHEgjHTyyScbm2jTpo3e\nDhQ/4g53dPscnTYEXuUY7QLBAOFUmDteJ5DUriVGXL4DaxceRXZGOwSHFKBFx73oM0q5sXPD\nA4cMsE+XW7EjqjV2rn4YEfkZKAmNQEzHi3BW3/+4NX5ZVDjxnJfx1a//QdHBjYgotaIwJAhh\nzQbi/JZDcXL3VXjho144nB6t27PaQvDt9ulIyR2EKRcVKo1rRJV+5IKS0LASyEUezMyUxGV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GqFGjlLT//ve/+PzzzxVhC/PxQxsiZwD99NNPY+vWrbjvvvuwfv16fPDBB/jrX/+q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\nnDN3HxLjWr3qGBcY9OfKdnBbzN4oxKsCtEwaBzQODFgOcIwK9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T0yNvaxKpRXR+CR145DRY0taqbJYMZPzt2Gcfnug9b4Wo+WH/j27SiU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\nRtybOaD0lO0AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# geom_smooth doesn't need any mapping arguments if using global\n",
    "ggplot(data=mpg, mapping=aes(x=displ,y=hwy)) +\n",
    "    geom_point(mapping=aes(color=class))+\n",
    "    geom_smooth()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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VMZ7pAACZAACZAACZAACZCAtwiYQgNt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S3fZrPL+DZ4VdApLbr7q6q5006mA7+Stt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\n/wO19ZqccKPpLAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# second geom_smooth uses same x and y mapping\n",
    "# but mapping comes from no_2seaters data (from Transform section) instead\n",
    "ggplot(data = mpg, mapping = aes(x = displ, y = hwy)) + \n",
    "  geom_point(mapping = aes(color = class)) + \n",
    "  geom_smooth() +\n",
    "  geom_smooth(data = no_2seaters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise\n",
    "\n",
    "4. Recreate the R code necessary to generate the following graphs.\n",
    "\n",
    "<table><tr><td><img src='gen-graphs.png'></td><td><img src='gen2.png'></td></tr>\n",
    "<tr><td><img src='gen3.png'></td><td><img src='gen4.png'></td></tr>\n",
    "<tr><td><img src='gen5.png'></td><td><img src='gen6.png'></td></tr></table>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## More syntax\n",
    "\n",
    "```{r}\n",
    "ggplot(data = <DATA>) + \n",
    "  <GEOM_FUNCTION>(\n",
    "     mapping = aes(<MAPPINGS>),\n",
    "     stat = <STAT>, \n",
    "     position = <POSITION>\n",
    "  ) +\n",
    "  <COORDINATE_FUNCTION> +\n",
    "  <FACET_FUNCTION>\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Facets\n",
    "\n",
    "Subplots displaying one subset of data.\n",
    "\n",
    " * `facet_wrap()` for a single variable.\n",
    " * `facet_grid()` for along 2 variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vjnP/9pDWXcOYLSv39/88knn2QOde/e3dxxxx2Z3/oiAoUm8Msvv5jmzZsXOhul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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": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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IcffmhefvllO7S62Wabaa33ynq8yo0IiIAIVAyBsjKg1157bdt4hukeeOCBtlca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\nRK5CYII=",
      "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=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vjnP/9pDWXcOYLSv39/88knn2QOde/e3dxxxx2Z3/oiAoUm8Msvv5jmzZsXOhul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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, ncol=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SEREAEREAEREAEREIFyEpABXU66ilsEREAEREAEREAERKDuCMiArrsiVYZEQARE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jU4m+Fb0ca/KWz7k6HdO3JuNL9g2kTT5D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\nCa8Z5RJHx83GSofDp762iQND2Da8Ts8lDx3H/DQ56Lz1pxku0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94mXRzSd4mDyf8u4bXsLnFwIhG2tcFxojZOH8mJuVy2cVCuevXqWa/8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\nBoH/Awf2c9PfCsTUAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# some facets are empty because no observations have those combos\n",
    "ggplot(data = mpg) + \n",
    "  geom_point(mapping = aes(x = displ, y = hwy)) + \n",
    "  facet_grid(drv ~ cyl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stats\n",
    "\n",
    "```{r}\n",
    "ggplot(data = <DATA>) + \n",
    "  <GEOM_FUNCTION>(\n",
    "     mapping = aes(<MAPPINGS>),\n",
    "     stat = <STAT>, \n",
    "     position = <POSITION>\n",
    "  ) +\n",
    "  <COORDINATE_FUNCTION> +\n",
    "  <FACET_FUNCTION>\n",
    "```\n",
    "\n",
    "Algorithm used to calculate new values for a graph. Each geom object has a default stat, and each stat has a default geom. Geoms like `geom_point()` will leave data as is, known as `stat_identity()`. Graphs like bar charts and histograms will bin your data and compute bin counts, known as `stat_count()`. Can see full list of stats at [ggplot2 reference](https://ggplot2.tidyverse.org/reference/) under both Layer: geoms and Layer: stats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ECAAIGuFhBAd3XzqzwBAgQIECBAgEBR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\nECBAgAABAmUT+H/q4TBk6/qj0QAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data=mpg) +\n",
    "    geom_bar(mapping=aes(x=class))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since each stat comes with a default geom, can use stat to create geoms on plots as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ECAAIGuFhBAd3XzqzwBAgQIECBAgEBR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\nECBAgAABAmUT+H/q4TBk6/qj0QAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(data=mpg) +\n",
    "    stat_count(mapping=aes(x=class))\n",
    "?geom_bar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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g1Clm+88cZywQUXlDXXXLNst912ZZVV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\nBAgQIECAQDME/j/2Gh9yGZvxpwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# because stat_count() computes count and prop, can use those as variables for mapping as well\n",
    "ggplot(data=mpg) + geom_bar(mapping=aes(x=class, y=..prop..,group=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No summary function supplied, defaulting to `mean_se()\n"
     ]
    },
    {
     "data": {
      "image/png": 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QQAABBBBAINICBNCR7h4qhwACCCCAAAIIIBA1AQLoqPUI9UEAAQQQ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\nAqEKEECHykvhCCCAAAIIIIAAAkkT+H8yHlaWvAJfXwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# stat_summary is associated with geom_pointrange\n",
    "# default is to compute mean and standard error\n",
    "ggplot(data = mpg) + \n",
    "  stat_summary(mapping = aes(x=class,y=hwy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FijY8fhhx+e\nuPrqq1PTNKBxmq7k1R/Hd8eR9b/G1G3yyl8i2SCYeP3119169d3at29fVydZb0gJzEAfaO80\nKaRXtSgkA1fX+qbLzl6rjlqd1Wpz9NFHuxZktcgddthhrrVYl6SS+46pNViXAL2kVmFN2377\n7S15AHGtpWph0iVyXapVUstFzZQ84LvLKjqb//vf/56arFZELc9LOtPXGXOxJ9moNScZ8Kc2\nVZetb7/9dvdel0l1uciz1ki1GqtVSVZK/pYBtUCvv/761rNnTzdN/7Q8dePwJ/8VBXW3UZ5M\n6iNoe72WE/+6inlYrWdeUrcItQR36tTJjdKv2ympVU0tw/6kOtO+q8vhXpL5+++/797W95lQ\nq1ZdKfll6VrB1ULlddHQ5XS1GiZPIlOzqOVa3W50iVx1XQqpIfuov1z6PHuXvPWqbhpqna+Z\nkifr7pJ7MmC0vZLdy9S9SePUxUCpvmNNq1atXB5d6fKSty8kA0BvVMm96tihfdVLuiqlqy3q\nbuS/ShT02dbxQcdkXS1TSgZ63iIzfq3vuJPxQnKcsb7Pqr5vMknqwuElHVPUBUNe+qzLX10P\nvaSrpvrT1UU9vSN54u1Ncq/6/tRVFy815LNTn3N9n4GgfaDUju+NqVt1CdUxJNn4575zVSfa\nHzQuiqlJFAtVLGVS94izzjrLXc5Qdwz1e/PSDjvs4PomamfVpVQF08kWUHeA0EFCBwAdRBRs\neH8KsDdJ9nPWAVmXlHQZS9041FUj2eLqLbrWq/qD6kOuANxbll532mkn0yUwL3n98Lz3xfqq\nIEB/6bqZ6LKgggV/UrcWJV2eVtIXv4z9yQsGNE4+NZP6WHtJ03XA13YE1UfQ9nrLLJXXmvuJ\n149e21+Xm1cu7deevzfOXwf1fSa8/P5XBd7J1hK79NJLXTcnb5rWo8+EtsX7U1CXbJFNBZRe\n3mJ+bcg+6i9Pzc+HF0z782hYl1Z1/NCXnoJedYdKtla7bEH7trcs/7q89eiYU6pJJ8fah7zk\n7fP6LPtTJp9tBRBHHXWU6xOupzHVTH4n/6VvL1+64443vRCvmXxWg8rlnWhp+3UckLGsdPKt\nfbKuY4k+20o1j+86qfEfWxry2UnnHPQZyGQfcBtdIv8aW7e6nyXZAu1+5lsn47oXzP9ZKhGG\njDaTFuiMmLLPpJaKZLcN1wqXvLTkDgj+pajPsQIPnUnrT62metUZm/o9q1+WWk3V/1lJ79U3\nSTf96KYK9TPUTVxea5r6kyp5By3/wUfBo9alAF5Bupe0LrW+llpSWfQFp9ZktTQr6eB55ZVX\nulZ8+cnXn/ReB2m1lia7vvgnZTwsc91UpaT61Y0vaokOqo+g7fUfuDPemBLMqBZRPV7Rn2Tq\npfo+E+rn7k+66VZ93nWvQc2TR92EqVYfPe3GC+aS3TtcX0ntN6TaAgqYdbKvfr5qefY+V0H7\ndu0lRWOMrlioL61uFFTSyZqCAB1/dSz2UtBnW/nkqZM3tbKqP7Na49R44V0h8wfluim3Zkp3\n3KmZL5/v6/usJrtfuE0JKpeuSHn3BOnzqj8duxUcqxFEV4y8hg99P6pftI7x+s7S+rfbbrtU\nkfXeu5ckNTLLgXTOQZ+BoH2g1I7vja1b1YtiDT1rXoG0rg5GNdECHVLN6i5kHWiPOOII1xVD\nXSz05wVvOnjoJhUdpBX06qxb+fXlrzNAHbh1wFB+nQHriRLJfnguEFZXDOXVAUZJl7R0R7KS\n8irpbF5dEBRkqlXjkEMOcZdmtUNr3v/7v/9zXUv09IpSTP3793ddMnQSoEt+uqlPLfm6lHzQ\nQQe5Z2/rxsvly5e7supGBp2Q6CaHhiadwOjmS9WVvFVXOlhkUh/1ba/XuqXLl/riiGpK9kt2\nJx66QVP7qZ5FrBuAvFTfZ8LLo1dd2bnooovczZ7Jfs2uW4a6ZuhPy1X9a1hPn1CLlfLrEqy6\nKHhBi395DJsL7hS8qIvX/vvvnzrxyGTfjqqfnsigY6xuENONfcm+zCkXf5nr+2z78+mkRCcq\n1113nbsBTq2sChb1Q0I6TimA1JNjaqZ0x52a+fL5vr7Paqbl0o2r+o7Sn46nslDXId2MvEny\nSqtugpWJ6kBPcdDJr1qW5a2rJToZ1+ddx3Ydl9XFozEpnXMmn4H69oFSO743tm7VeKfPim4m\nVAOf1wjYmLop1nlLr/mxWCV926UPvdfS5vV98yarz+dNN93k+sLpiQ96MoYuW2mnGzJkiPsi\nU14dZPWsVrWwqeVD/UnV4qaDiPrm6TKJlq1pOiNX65GWq2WqlVX9x9T6pscn6UsxecOgO0hr\nGWqJ1SUv9SFu7EHHK1e+X+WSvJnSBVIqv1qC9fQHechHl/V1uVQHXpVXrSIa15ik4FxXFXTC\noydmqPuADuiZ1Ed926tt0n6hIE+XegcPHtyYzSzaedV6rzrSiaCej659UMFa8uZJt83qH5ru\nM+HvA60WEi9gfuWVV6qVVy1UapHWq/rEq9+qgmYFL/6n3FSbiTdOQMcUdTXTl5+XgvZtr9+5\nlz8qr/pca59Ttzkdm3Wc1PG5rhT02fbPo8+2WqPlrCcDqSuenuYjc61Tx3Q1rPhTuuOOP0++\nh+v7rGpbMimX+kDrHiA18OgRcvrO0/FbSQbDhg1z31HqHqT+yaeeeqqbpquo6mqk47mO7fpO\n1GdbJ+iNSemcgz4D+r4N2gdK6fiei7rV/qxGP/99So2pm2KdtywZDJRuR7ViVc1iu9T1QJcL\n1R/M3+3CW4RaJNVi7N2c5Y3Xqw7wakH29632T9ewWuC8m4H0XgcrtaD6+59pfKkmnXzIyH9j\nj1cW7doKtNSC0JiuKmrl0MFZj1XS2bTW511a9Nal10zqo77tVSuUWm/0pRD1pH1e+21d+3zQ\nZyIbG61HX7C0PGejVjtvJvt27blKc4xaIvWIUbUM6/iqoE6fy6BU32e7vnm9/V0tsF6XI+XP\n9LhT37LDnuZte13fX960muXyb5P2KzWEKE9dSf767KqbRM0kb83b2O+yTJ0z+QzUtw+U2vHd\nq7+G1m3N+orie1qgC1yrOmB6/Zjr2hTv4fB1TdOBpb7gWfP4g2e9VyDZ2AOOllMsSV0y6gqe\ntX0KzuqzbUgZZF5X8KxlZVIf9W1vXV8SDdnGUpgn3Remtj3oM5FN+epbTzbLiXveTPbtKBrV\n1XCRrpz1fbbTzaPxmezv9R136lt22NPq2/b6pnnbpXLV9xmtz1/euf4uq885k89AfftAqR3f\n66u/+qZ5dRuHV/pAx6GWKWOjBBSIqxWzMa3YjdoAZkYAgbwJqLVZn/dCJ447+akBnPPjHMW1\n0IUjirVKmRBAAAEEEEAAAQRCE6AFOjRaFowAAggggAACCCAQRQEC6CjWKmVCAAEEEEAAAQQQ\nCE2AADo0WhaMAAIIIIAAAgggEEUBAugo1iplQgCBWAroGfT6YSUSAggggEC4AtxEGK4vS0cA\nAQTyJqDnlOsHOd5+++28rZMVIYAAAnEUoAU6jrVOmRFAAAEEEEAAAQQaLEAA3WA6ZkQAAQQQ\nQAABBBCIowC/RBjHWqfMCCBQkgL6Gfnnn3/eXnnlFbf9Bx10kO211171/lS5fs78/vvvty++\n+MIWLlxov/3tb61v3762++67VzP44YcfbNSoUTZlyhTTL8CpO8gpp5xi/l9DzSRPtYXyBgEE\nEIioAH2gI1qxFAsBBKIlsHLlSuvdu7e98847tvfee9vq1avtn//8pwt0P/jgAysvL3fD/j7Q\nb7zxhh1yyCG2YsUK22WXXdzrW2+9ZWvXrnXB8sknn+yQvvnmG9t5552tqqrKdt11V1uyZIkp\n38Ybb+zW1759e8skT7TEKQ0CCCCQXoAuHOltmIIAAggUjcDpp5/ubg5U67NaoV9++WV78skn\n7aOPPrJ77rmnzu3805/+ZAq8FfxOmjTJXnvtNfvuu+9csH3nnXem5rn77rtd0PzJJ5/YM888\nY6+++qo99NBDNnXqVBs3bpzLl0me1AIZQAABBCIuQBeOiFcwxUMAgdIXSCQS9j//8z925JFH\n2h/+8IdUgQ488EBTILzJJpukxnkDmkcBdPPmzW399df3RlvXrl2tZ8+eNn369NS4Jk2a2KpV\nq+z111+3I444wgXYep01a5ZtsMEGLl8meVILZAABBBCIuABdOCJewRQPAQRKX+Dbb791fZdv\nuOEGu+iii9IWqK7H2Knfs1qr1bf5yy+/tA8//NANK6j2nhn99ddfu24hM2bMsPXWW891FVFw\nrj7Wbdq0cevLJE/aDWMCAgggEDEBunBErEIpDgIIRE9Aga1S69atsyrcAw88YBtttJEdfvjh\ndu+999ry5cvthBNOsB133LHacjbbbDNTP+q//OUvpuFHH33UBg4c6IbVj1opkzzVFsobBBBA\nIMICtEBHuHIpGgIIREPgxx9/dIHw5ZdfbsOGDatWqCeeeMLd/HfYYYdVu4lwzpw5rrvGdttt\nZ4899ph169YtNd8222xjejqH8nhJXTgqKyvd2wULFrgg+qyzznI3FarvtFImeVxG/iGAAAIR\nF6AFOuIVTPEQQKD0Bbp06eIC6AkTJrgnaHglUqB77LHH2l//+ldvVOpVXTXWrFnjnsLhD57V\nFeOrr75y07zMRx11lFv+smXL3Ch14zjjjDNsyy23THXzyCSPtzxeEUAAgagLEEBHvYYpHwII\nlLxAWVmZXX/99e5ZzrqRUI+ye/bZZ+2YY45xj6a75JJLapWxe/fu7vnQekKH8n7//fc2fvx4\n69Wrl+mGQD2qTjcaKl1wwQU2d+5cO+6449xTOLR8LVP9pnUzYaZ5XEb+IYAAAjEQoAtHDCqZ\nIiKAQDQE9Gi58847zwW7KpFuBLzllltswIABroA1byJUX+bbbrvNPdNZz37u1KmT6+es5z2f\neeaZ7nF13g+qDB8+3K677jrTj7Uo6ebBwYMHuy4jCriVMsnjMvIPAQQQiLgAAXTEK5jiIYBA\n9AT0i4Dqj/yb3/zGtSYHlVB9nfXDK3qEXX1Jy9SylTbddFNTy3fNlEmemvPwHgEEEIiaAAF0\n1GqU8iCAAAIIIIAAAgiEKkAf6FB5WTgCCCCAAAIIIIBA1AQIoKNWo5QHAQQQQAABBBBAIFQB\nAuhQeVk4AggggAACCCCAQNQECKCjVqOUBwEEEEAAAQQQQCBUAQLoUHlZOAIIIIAAAggggEDU\nBAigo1ajlAcBBBBAAAEEEEAgVAEC6FB5WTgCCCCAAAIIIIBA1AQIoKNWo5QHAQQQQAABBBBA\nIFQBAuhQeVk4AggggAACCCCAQNQECKCjVqOUBwEEEEAAAQQQQCBUAQLoUHlZOAIIIIAAAggg\ngEDUBP4/p5eh6keqdo4AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# can change stat_summary to compute median and min/max instead\n",
    "ggplot(data = mpg) +\n",
    "  stat_summary(\n",
    "    mapping = aes(x = class, y = hwy),\n",
    "    fun.ymin = min,\n",
    "    fun.ymax = max,\n",
    "    fun.y = median\n",
    "  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Position adjustments\n",
    "\n",
    "```{r}\n",
    "ggplot(data = <DATA>) + \n",
    "  <GEOM_FUNCTION>(\n",
    "     mapping = aes(<MAPPINGS>),\n",
    "     stat = <STAT>, \n",
    "     position = <POSITION>\n",
    "  ) +\n",
    "  <COORDINATE_FUNCTION> +\n",
    "  <FACET_FUNCTION>\n",
    "```\n",
    "\n",
    "Each geom also comes with a default **position adjustment** specified by `position` argument. For geoms like `geom_point()` it is \"identity\" which is position as is.\n",
    "\n",
    "Specifically for bar charts, have fill aesthetic. If fill aesthetic gets mapped to another variable, bars are automatically stacked under the \"stack\" position. Can see [list of positions](https://ggplot2.tidyverse.org/reference/#section-layer-position-adjustment) at ggplot2 reference."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KFeaSU94OPLL7+0I444wt2FQwHhOeec4+IbXUzoJd0pQ3fBUC92pqT5CtZ1F43H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\nIIkCBNBJbHXqjAACCCC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nvPnnvuOff0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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(data = mpg, mapping=aes(x=class,fill=as.factor(cyl)))\n",
    "p1 + geom_bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KJFi6yiosL9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\ngAACCCCAQMEJ/D/7M3HsU/3pjAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# position = identity will place each object exactly where it falls in context of graph.\n",
    "# Not useful for bar charts, better for scatterplots.\n",
    "p1 + geom_bar(position=\"identity\", alpha=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nqgM6ZiQwQQQAABBBBAILWAAtSjjjrKjfXV8AYF0rvvvrsb3xy9pwI5BdgaV6zH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\n3FND1qpVq0TRatas6YJnXSUaOw5aFwVqH/38cO6559oRRxxh48e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3bs2BFZrB5v\nBelBTtWqVbOdd97Zvv/+e9uwYUOQi5rXsumL2E477eR+vdiyZUte8w5yZurp1C80QT+v823Y\nqFEj996jX7tIPwtUqFDBGjRoYOvXrzd1YJB+FqhatarrzJGJbEg/C6jjSjNmaejk5s2bA83S\nuHHjQJePwoVToOQYiTzXoV69em7Kuehs16xZ496s1NMcm7S9guXYNzHtoxdIuvWxx9MHhsZd\ne/9ih4zEbs9zBBBAAAEEEEAAAQR8DaBbtWpl8+fPL9ELPXfu3Lhx0V4zNWvWzAW72sZLuqhQ\n46U1Ljrdem8f/iKAAAIIIIAAAgggUFoBXwPoTp06uXKPGTPGBcELFy60SZMmuXmhvQrNmDHD\nJk+e7J7Wrl3bjj/+eDf13Y8//uguABw5cqSbuaN+/fqWbr13TP4igAACCCCAAAIIIFBaAV8D\naA3TGDx4sL300ksuCO7fv7+dfvrp7m6EXoWmTp1qEyZM8J66+aE1pvOUU06x7t27ux7pK664\nIuP1kQ15gAACCCCAAAIIIIBAKQTK/XQR3S9X0ZXiALnaZfny5aZe5EzHIWvcs8Yw68KxRCnd\n+kT7aFnQL7biIsLELcdFhIlduIgwsQsXEca7cBFhvImWcBFhYhcuIkzswtLiEfB1Fo5o5oYN\nG0Y/Tfs4dvq72B3SrY/dnucIIIAAAggggAACCGQi4OsQjkwKyDYIIIAAAggggAACCARJgAA6\nSK1BWRBAAAEEEEAAAQQCL0AAHfgmooAIIIAAAggggAACQRIggA5Sa1AWBBBAAAEEEEAAgcAL\nEEAHvokoIAIIIIAAAggggECQBAigg9QalAUBBBBAAAEEEEAg8AIE0IFvIgqIAAIIIIAAAggg\nECQBAuggtQZlQQABBBBAAAEEEAi8AAF04JuIAiKAAAIIIIAAAggESYAAOkitQVkQQAABBBBA\nAAEEAi9AAB34JqKACCCAAAIIIIAAAkESqBikwgShLI0bNw5CMZKWYfLkyXbvvffaNddcYyef\nfHLS7YptxUMPPWQvvfSSjRgxwvbcc89iq37S+l555ZX26aef2rRp06xcuXJJtyu2FSeeeKI1\na9bMHn/88WKretL6fvPNN3bsscfaCSecYDfccEPS7YptxfTp023w4MHWp08fO+OMM4qt+knr\nq9fOs88+aw8++KD95je/SbodKxAoVAEC6JC17Lp16+zbb781/SX9IrB69Wrnsnnz5l8W8si+\n++4757Jjxw4C6KjzYcmSJVapUqWoJTzcunWrO1f+97//gRElsH79eufy448/Ri3l4Q8//OBc\nNm3aBAYCRSnAEI6ibHYqjQACCCCAAAIIIFBaAQLo0sqxHwIIIIAAAggggEBRCjCEI2TN3qRJ\nEzdOsWnTpiEredkWd6+99nIutWrVKtuMQnb0Aw880HbeeWeGb8S029FHH23169ePWVrcT6tX\nr+5eQ3vvvXdxQ8TUvmHDhs5l1113jVlT3E93331356L3FxICxShQ7qexkTuKseLUGQEEEEAA\nAQQQQACB0ggwhKM0auyDAAIIIIAAAgggULQCBNBF2/RUHAEEEEAAAQQQQKA0AgTQpVHLcB9N\nfzR16lR75pln7MMPP8xwr9xstmXLFmN6odxYRh8lCK46p2bOnBldrBKPP/jgA3vttddKLEv0\nZNu2bfbkk0+apnQLe/ryyy9tzJgxGVWjkOqdrsKZuhSCyZQpU+ydd95JR1JQ65nOtKCak8qE\nTIAAuowa7PXXX7dTTjnFXn31VZs/f75dffXV9pe//KWMcit52LVr11qPHj1s+fLlJVfw7FcJ\nBMX1n//8p7377rtJ66Iva5kE0Nu3b3df7pYuXZr0WGFZsXDhQnvuuecyKm4h1TtdhTN1kclT\nTz0V6i9TxRZA33///TZ+/Ph0pwDrEUCgjASYhaMMYPVh9PTTT1vv3r3trLPOcjnMmDHDBg0a\nZN27dzddvVyWSYGe7ipGyq1AUFzvuOOOnFRMNxJ54403cnIsvw/SuXNn079MUiHVO119s3FJ\ndyzWB0tg3rx5duSRRwarUJQGgSISqPDnn1IR1TcvVV21apWtXLnSzjzzTKtatarLs27duu4n\n5oMPPthatGhhn3/+uT366KOuB+Hjjz82rY+eVmvBggU2cuRImzBhgv3nP/9xQbemmfKSfnbX\nz+/jxo2zf/3rX663uU2bNqY78Q0ZMsS++uor0935atSoYZryTj/1KagfO3aszZo1y3baaSfT\nlHhK2ke947vssou7Lavy0/Rnubr182effeZ6B1988UXT3asaNWpk1apVc3nrrmeqh24J+/77\n7zsv3WJZSXdG023L5aWf559//nlTb+m+++7remB1K1nZ1atXz/l52+t27H/9619t4sSJzqBV\nq1Yl7jqn4Q86nnpvNNyhcuXK7rbOLtOf/ktUXq1L5OrtU9q/XpkzraPykePixYsjX8R0LshP\nPbC68+DGjRvd+eDd6l23f5exfhVRj6RudV6lSpWIr6bnUlD5wAMPuKEh8on+p9v0avtU51Bp\n659sP533uvPbv//9b9czOmfOHGvZsqVbpnafNGmSOz/Vtkpz5851Br/97W8j9WrdurVrZ53z\nWr/HHnuYXkOeueqtu3qOHj3a9LosX/6XH+TU1nqNaAqzZK+1ChUqRI6VLK9k9cvVcjl9//33\nrr30+taQDb2PeFOLRbsoT22r817nv7atWbOme/14X/q7dOni3hd0Dj3yyCO2bNky0/vKCy+8\n4M4pz1vHUjtoEie9jygftYmGguh9TeeP3j90XmeTUr0vpiuDeqDVZv/9738j54zauHbt2pEi\nJHptl8V7kTJM1zbaJt17UbL20mv97bffNr1/6j11v/320+FylpK9Z2hY4H333Wc6D7wpQ1es\nWGEPP/ywK8MXX3yR9vWUs0JyIAR8FvjlE8PnghRS9groNGTD+xBT3aZNm2b6wNV8xXrTu+KK\nK1zgpmEe+qC5/PLLbdGiRY5BQZ16rzds2GDHHHOMqadBQzIUlCvpA13P1SN6wgknmD4kFDDq\nA015eD3c+lBXYK7j9OrVywWdRxxxhNvm+uuvdwGVjqeAQkNNbrnlFlcmBS7RwYS2KW3SB2u/\nfv1cmY866igX7P/pT39yh1P5L7rooki59CF+ww032EsvveTW68NY5brmmmtceTQ/rT74r732\nWnviiSdsn332cR+WAwcOLLF9//793fjvww8/3H2I3X777e6DXhsp+FQ99aF/4oknumDzuuuu\nc0Gz1icrbyJXbf9rU7Z1VH76AqQvDkpr1qyxq666yn0ROOyww0y/dET/rKug+aGHHnIfbscd\nd5wbi6/tlRT8yFdBt+qnD0Xv32677RbJR8FzunPIHTCH/6mOd911lwswDjroIFdfnRs33nij\nC4KbN29uN998s/tyqWwVCP/97393JfBMdZ7otaZzXq8pvSaVouut8+Bvf/ubW+9W/vSfbHUO\n6otnqteatk+Xl3fMsvorJ/0ioWE9al99QbryyitdmyrPaBe1oUzkdMghh7gvzpdddpmrY3T5\nFCTJ+tNPP3Xz/GqdxhbreXSaPn26+6KuZfrFS1/ibrvtNmvbtq1739HrTEFtpind+2K6Migf\nBfE659Xm+pJ58cUXu/cIrUv22ta6XL8X6Zjp2ibde1Gq9tL5r84ZfVnSF8tcplTvGboGRO8Z\naisv6T1Iy3TepHs9efvwF4FCEGAIRx5aUT096pU577zzXI+WetX0ZqOgtk6dOu6DTz013pTc\nw4YNcx9w3o8Dp556qgs0dTGiggB9MBx77LHuQ84LdNVToQ8I9abqg/Sxxx5z2+iNdtSoUaZe\ncfVoq0f6tNNOc0H38OHDXQDuEejmEgrcc5lUF/VqecGLgtqbbrrJfVnQOF1daKledPWAnnHG\nGe4DYcSIEXbSSSdFiqG6euXSB7UuolPvToMGDaxTp07WrVs315vm9VwrOFCgpaQvLPoQ/eij\nj2z//fd3PdJ9+/Y1mSppf32JkZ0++JOVVz3fsa7uADn6L9M6KrCNTuqVVw+azPRFTG176aWX\nRjb55JNPnME555zj1qun6s0333TBk7b3kj6Mzz77bO+p67HWOargWwF0unMo+liRg/zKByqT\ngsOKFSu6142GQKntVBcltanqojZOlGSqtlfS60BfrPQlNLpHUq8/nZP/+Mc/XC+0tvUCTH35\n1FjzZK81beulZHnpy3RZJwU1ei3LSa81+ai9vNecl7+CHP0qpd5Lvd6U9OVZ70f6MqmkX6MG\nDBjglusXiehfvdwGKf7Ta1nvWYceeqjbSu9N6snPdGiNgv9U74spso6s0vuf3vtkoeFyek9R\nYK8vycle2+q4yPV7kfc6TdU2aotU70Wp2kvvX/pVSb8O5HoYR6r3jAh0kgfpXk9JdmMxAqEU\nIIAu42ZTb5Y+kPQBq4BZST2p+qb+u9/9zn1o62dnffDpg10fYPoZTMMpFBR5SR9GGlqhpO0V\nDOpisa+//tr904egPvATJf1sqXX6qdpL6nXUG7h+ftPPuEq5vgOZvhCoLueee66XreuVHzp0\nqHuun2vVu+h9mGuhghl94OlLgoIeJX1IeElu6iVV8KzkBUPqEfECaPl4ScMV9EuA7GSmNlAQ\npWEv+uBU+fShLfd05VVvZFmlTOvofTB75VD5Va/oAFZfIHQ+KCnoV6+jzjW5qJdaQYUCDH24\nJ0r6+VY9/Q8++KA7T7VNunNIQx1ynfRLisqppHZXUt28pHaN7gnzlnt/9YXIS975oqEJ3jnj\nrdOXNfWWap1eZ+pZ1WtWKdPXWrK8vDzK8q9eQ56T8tFwFO+9IjpfDQvTcJzo15sXZHvngn6e\n13vCnXfemVXwrHx0XJ2LXlI5dB7pYuZMzo9U74veMdP9VZ7RFrLRRdzpXtu5fi/yXqep2ibV\ne5Hqmaq90jn8mvWp3jP0PpkupXo9pduX9QiESYAhHGXYWm+99Zbr9VIPqXpAvN5i9epouIV6\nCvWhrQ8t9f4pINY4U73Zq1dRQZH3r0OHDtaxY0dXWgVN2l4fchreoTfr9u3bJ62Jfp5Ub553\nLP1VQHH++edHyqSdYwOLpAfMcIV+gtQ/b4xh7G4aKhI97lvr1YOhpOEcXvLG2nnPo3vFVJfY\npDHWXtJ69bqrHEoaRyk79dDpC4SGyHh5piuvd8yy+JttHb0yqG2jrbRcwzG8dMABB7jxoPpQ\n1Jc5BdM677RfoqTA+5577nEBpMaaeynTc8jbPhd/E52PGuOaaYo+77zXnl5bsUlBubZVb7bG\nlWpbfdFQyvS1lmlesXnn4rnG/EcnnUve+R69XF82ossZvc57rC+t+kVGvc/qUY5OsXZe0O1t\noy80ep/xkndOJyqLt03031Tvi9526crgfVHytlfHgYK+dK/tsnovStU2qd6LVP5M2surZy7/\nZvKeEd0O+hUjOqV6PUVvx2MEwi5AD3QZtaB6sQYPHuzG/yqAjk7qXVWvyOmnn+7+KWhWT5CG\nJWi8rj5I9NNv9E/xGk/n9azopzt90KmH0AuWFBx5gVRsUOmN5fzjH/8YCZg1NlI/1elDL/aD\nMLqsv+ax6qHjq77qiVFSGTWEQ72g6jF+7733SmSh59543Og36RIbpXmi8a7t2rVzW6n3SxcV\nqSdaPc26MKpPnz7uAk9toDGsaiflla680YF5miLkbbWGL8TOfav6e0meqtcll1zi/qmnTY91\nPmlMenTST+gan37hhRfG/eye7hyKPk7YHut1pV+ANI5Y597xxx+f8WstCHWNbm+VRxfj6nyP\nTerFVxtHJw3n0Ovi97//vVusYWbqCdZ5owvDdK2EkoZGRAfCCpr0K1Z00nMNsdI1GUr6MqaA\n2vslKXrbRI9TvS8qqMukDPrCE51kofKke22X5XtRbHkyeS/SPqnaS9fAlFVK9Z6hseVK0edC\n7DSYqV5PZVVmjouAHwL0QJeBusYb6wKoo38aU9zypws8NIOA98/7yVljOxVkK4BTAK0ePgUp\nShrHqnGY6sHWeo311JheXW2tpOEd2l4ffAr81HP2xk/TkXk/r3k9P/oZVz0rCuD1s6zmedV+\nGsJw6623ut626J9z3cFz/J/G6mlIhgI2Ber6kqBgXz95q1wK5DVLgnq7VE9d0KVhHPqwLG3S\nRTDqmZe1evrlqh56BUfq1dRyBfLq/dcYTZVLlkqpyhvrWtry5XI/jeHWlwSNI1cdFATqi5GX\nFFDowi4FNjpXVHedU9655m2nc0K/kugncPVA6nzx/um4fp5DXhnL8q9+dtY5qi8j0ePv073W\nyrJMmR5bbawxvGon/dVP/96Y5uhjdO3a1b32NG5eAZC208wdsWPIFWzqXHjllVeciY6hIFS9\n8/oyqvcrjSfWeRT7JVcXM+uXHV1ToDG8KofX+x9dlmSPU70vZlIGvbeoHRXg671E74HqqFBK\n9douq/eiZG2TyXtRuvbSe5mG8Om1m8uU6j1D10PoV0NvzLiGtekcik3JXk+x2/EcgTAL0ANd\nBq2nMaQKCHUFeuxV6BpbqenF1Auq4E4fGArg9M3e61Xo2bOn21+9gXqj1c+QGkes4QZKukhI\nPUn6QFCgqR4NzeKhMdP6cNPP3PoZTUGyttWFKur11dhjjUlU0KweYW82hjIgiBxSvZm6wFEf\nyOqZUFk1a4Z6pjReUh76MNYFjqqrHLzxp5GDZPlAwblmOdGHu2Yi0ZAE76d/zTqgHvyXX37Z\nuevLioY3KJhQSlVerY911TI/k3ra5amedV1IpnNFvanejC6aSlF100WY+oKlXyc0S4PGXEf/\n8qBeJy9g1he76KRzRxeC+XUORZelrB7rIl6NuZaJN4uN8kr3WvN+FSqrcmVyXL2OdIGxpqJU\nUKVhOpqGMjbptaf3FP1ypYuaNXRJ54fGeUefC9pPy9QTf/fdd7tjawy9glO9D+k9RwGS3kOi\nf+3Sa0zH0a9LWq73K51rmSb1VKd6X8ykDMpTNxhRb7jKoAtHvV+/Ur22y+q9KFXbpHsvStVe\nMtXFg+oAUOeMZvTIVUr1nqE8NCuSfinVlyO1uWZZ0pf06JTs9RS9DY8RCLtAuZ+CjPhBgWGv\nVYjKr95qjdHVN/vYpF4U9RjGjuvztlOPtIJh9RglSgridVwFpl7SB4uGVZR1z7OXn/dXwZt6\nwxXgxSadggre1Nv3awIS9cCpR1YfKhq/q/y88c2xeSo/lSVZfqnKm8g19vh+PFfbauhPdFDj\nlUM97lqvcynRem+7TP76dQ5lUray2ibda62s8k13XE03pzZVUJOq/aOPo9ebtlVPYrbngt6P\n9H4TPdZZx/amPlPPpKy0PtF7WnQ5Uj1O9b6YrAzRx0v1+k712s7Ve5HKkmnbpCqrjpOqvfSF\nRb8ExLaH9vu1KdV7hrdO51A2vzD82jKxPwJBEqAH2ufWUNCYLCm4SxY8a59EF1lFHytRYB17\n0V709mX5WL1WiYJn5akP8Uyu0s+mfPqCkCx41nFSuWp9qvImctU+fqdUbasPuVwZp8rHb4Oy\nyj/da62s8s3muJm2i15v6c7/ZPkmew1Hb58Lq1Tvi5mUIVX9Ur22y+K9SDap2iZVWbVvqvbS\n+1xZdYakes9ItU5lJiFQDAKMgS6GVi6SOuqDRr3ryXqVi4SBahaRgH69CsIXOvU267VH+kUg\nKG3zS4l4hAACuRRgCEcuNTkWAggggAACCCCAQMEL0ANd8E1MBRFAAAEEEEAAAQRyKUAAnUtN\njoUAAggggAACCCBQ8AIE0AXfxFQQAQQQQAABBBBAIJcCBNC51ORYCCDgq4Bu7LBs2TJfy0Dm\nCCCAAAKFL8BFhIXfxtQQgaIR0PzfurnDu+++WzR1pqIIIIAAAvkXoAc6/+bkiAACCCCAAAII\nIBBiAQLoEDceRUcAAQQQQAABBBDIvwB3Isy/OTkigEApBXR79r///e82ffp0d4Ru3brZ0Ucf\nnfJubLpt9TPPPGPz58+31atX22677WZdu3a1I488MlIK3Zr4pZdecrek1q2i99xzTzvppJNK\nbKONv/nmGxs5cqTNmzfP3QlUQ0Z69eplumkGCQEEEECgeATogS6etqamCIRaYOPGjXbiiSfa\nueeeawsWLHBBbJcuXaxDhw62bdu2hHWbOXOmtWvXzv785z/bokWLbPny5XbfffdZx44d7ckn\nn4zs079/fzvrrLPsvffeM92mWAG3tnnggQci23zxxRe2//7729ChQ239+vX2+eef27XXXmvt\n27e3VatWRbbjAQIIIIBA4QsQQBd+G1NDBApC4JJLLnEXB6r3Wb3Q//znP+1vf/ubzZkzx554\n4omEdRw4cKAp8Fbw+49//MPefPNN+/rrr61ChQo2bNgwt8/atWvd48suu8w+/vhjGzdunOtp\n3meffezuu++OBOePPfaYadtPPvnEXnvtNZsxY4aNHTvWvvzyS3v22WcT5s9CBBBAAIHCFGAI\nR2G2K7VCoKAEduzYYS+//LKdffbZdvjhh0fqdvLJJ7vgt2XLlpFl3gPtowC6atWq1rBhQ2+x\nNWvWzA455BBbvHhxZJl6nefOnWtLly61xo0bu17of/3rX1atWjUXbGtDbbN582Z76623XG+1\ngnD1WmufRo0aRY7FAwQQQACBwhdgGrvCb2NqiEDoBRYuXOjGLt9zzz123XXXJa1PomnsNO5Z\nvdUat/yf//zHZs+e7R4rqPbmjL7hhhtMxy5XrpwdcMABbqhI9+7d7cADD4zkpWEjxxxzjH37\n7bdWt25d69y5symA1zjsWrVqRbbjAQIIIIBA4QswhKPw25gaIhB6AQWtSjVr1syqLqNGjbJd\nd93VzjzzTDfmWWOXe/ToUSIw1gE1VGPSpEn2+9//3vVM33bbbXbQQQe5bbdu3ery3GOPPeyD\nDz4wrdNjDfW48MIL3WONtSYhgAACCBSPAAF08bQ1NUUgtAKtWrVyZfcC6eiKTJw40SZMmBC9\nyD3WBYMXXXSRtW3b1l1A+NVXX9mLL75o119/vRsXrSEeXtJFiMcff7yNHj3aXWg4a9YsO+qo\no9zFhBrK4aU6derYoEGD3Fhsze4xYsQIW7lypQ0YMMDbhL8IIIAAAkUgQABdBI1MFREIu0DT\npk1dT/L48eNNU855SVPOnXfeefbQQw95iyJ/NVRDvcennXaaNW/ePLJcQzE0g4bXs/zRRx+5\nuxd6M25oGIdm9ujbt6/bxxvmcc4557gyrFu3zi3XMI5LL73U2rRpExkKEsmEBwgggAACBS3A\nRYQF3bxUDoHCEFBQq2EWGmKhCwk1DlrB84MPPmgbNmwwjWGOTZq+rlKlSm6GDk0/t/fee9s7\n77zjttUFgZpRQ73QmobuuOOOs7vuustdMHjssce6MdJ33HGHm99ZU+cpXXPNNfbCCy/Y+eef\nbxdffLHVq1fP9WhrbPWNN94Ymz3PEUAAAQQKWICLCAu4cakaAoUmoGnjNGfzihUrXNV0IeD9\n99/vAmstiL2IUOOUhwwZ4gJn9Vw3aNDAjWHWkA1NW6ep6HRDFfVIazyz5oFWUsC+3377uSEd\nCsS9dPvtt7tAWzd0UdLFg+qpHjx4sJulw9uOvwgggAAChS1AAF3Y7UvtEChIAd0RUFPKaWy0\nepPTJY2H3rJli5vCLtW2Gs+saela/jQtXrILFpWv8ldq3bq1C7ZTHZN1CCCAAAKFJ0AAXXht\nSo0QQAABBBBAAAEEylAgfddNGWbOoRFAAAEEEEAAAQQQCJsAAXTYWozyIoAAAggggAACCPgq\nQADtKz+ZI4AAAggggAACCIRNgAA6bC1GeRFAAAEEEEAAAQR8FSCA9pWfzBFAAAEEEEAAAQTC\nJkAAHbYWo7wIIIAAAggggAACvgoQQPvKT+YIIIAAAggggAACYRMggA5bi1FeBBBAAAEEEEAA\nAV8FCKB95SdzBBBAAAEEEEAAgbAJEECHrcUoLwIIIIAAAggggICvAgTQvvKTOQIIIIAAAggg\ngEDYBP4/QjHIkcRGsqsAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# position = fill will make bars same height\n",
    "p1 + geom_bar(position=\"fill\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lLjDmmsIIBOA4lNEEAAAQQQQACBdAQ0EqtbwV100UXurhua+6w5zt6dNXTXCCX9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\nyy+brl8jBRcIHEBr8rn+kRBAAAEEEEAAAQRKQ2D//fe3K664wvb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333XZKtWIVA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\nYifw/+jIy8I81RagAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# position = \"dodge\" places objects directly beside one another. Easier to compare individual values.\n",
    "p1 + geom_bar(position=\"dodge\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For `geom_point` one possible position is \"jitter\", which will add a small amount of random noise to each point. This spreads points out so that it's unlikely for points to overlap and therefore get plotted over each other. For example it's possible that majority of points are actually one combination of `hwy` and `displ` but they all get plotted at the exact same point so you can't tell. For very large datasets can help prevent overplotting to better see where mass of plot is or trends."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Aigi+ZQUVEEEECgNAU+//xzO+igg6xNmzbOv969e9u3335bmhh5aPUjjzxi22+/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OHYt6iLlCe/bsURPO9LCEUlZWpuqiMYo3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\nEiABEiABErAR+Bc6Z7Dt9xuibAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# seems quite uniform which suggests multiple observations with same value of cty/hwy\n",
    "# creating overlapping points\n",
    "ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + \n",
    "  geom_point()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Aj4X8VhG6XGIwIiIAIiIAIikHEC+++/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rGjdunPCh3nvvPZvH2rtjYUJCvG3pvQiI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\nEPg/hSyjGp5ftaUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# definitely the case\n",
    "ggplot(data = mpg, mapping = aes(x = cty, y = hwy)) + \n",
    "  geom_point(position=\"jitter\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Coordinate systems\n",
    "\n",
    "```{r}\n",
    "ggplot(data = <DATA>) + \n",
    "  <GEOM_FUNCTION>(\n",
    "     mapping = aes(<MAPPINGS>),\n",
    "     stat = <STAT>, \n",
    "     position = <POSITION>\n",
    "  ) +\n",
    "  <COORDINATE_FUNCTION> +\n",
    "  <FACET_FUNCTION>\n",
    "```\n",
    "\n",
    "Default coordinate system is Cartesian.\n",
    "\n",
    " * `coord_flip()` switches x and y axes.\n",
    " * `coord_quickmap()` sets aspect ratio for maps.\n",
    " * `coord_polar()` sets polar coordinates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RqVq+nKlSvt3XffNf3V6x06dCj3Ok8QQAABBBBAoDACmzZtsnr16tmdd95ZmAIE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\nBBBAAIGoCfx/S6hfduRcePIAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p <- ggplot(data = mpg, mapping = aes(x = class, y = hwy))\n",
    "p + geom_boxplot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vLVV19Zw4YNbcuWLRYcPM+fP9/ND66P8gsO6IPn8Tx7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\nC/wB8xDjDAV5OEwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# flipping coordinates\n",
    "p + geom_boxplot() + coord_flip()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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uKT3DCKxX2qZYDeX3kxhQ2g82KmI82ThtzTOII6G1a1v2qCNXqIzlYVUA8YMMCd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hAFrBc+/evU3LypQpY9OnT7cDBw5Y48aN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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# can reorder x axis by lowest to highest median hwy mileage\n",
    "# allows easier comparisons\n",
    "ggplot(data = mpg, mapping = aes(x = reorder(class,hwy,FUN=median), y = hwy)) + \n",
    "  geom_boxplot() +\n",
    "  coord_flip()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YtEWTQWDxKR/vjjj13o7rrrroZfevXq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\nHhw2jQRIgARIgARIgARIwHwE/g/gC7RyOIpEVQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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18Ww6B2NeIBCZAACQSYAA3oAC8AhycB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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Setting aspect ratio correctly\n",
    "nz <- map_data(\"nz\")\n",
    "\n",
    "ggplot(nz, aes(long, lat, group = group)) +\n",
    "  geom_polygon(fill = \"white\", colour = \"black\")\n",
    "\n",
    "ggplot(nz, aes(long, lat, group = group)) +\n",
    "  geom_polygon(fill = \"white\", colour = \"black\") +\n",
    "  coord_quickmap()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OXmkT/vYktBArrY7ojyIwIiIAIiIAIR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QeLEpUZYjA9eHGIAA4HrHxeOFNZUfHhg0jFSlrsYxsW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rhW274yobOu9zGzop8MGePNHKEzp/EtcU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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# polar coordinates\n",
    "bar <- ggplot(data = mpg) + \n",
    "  geom_bar(\n",
    "    mapping = aes(x = class, fill = as.factor(cyl)), \n",
    "    show.legend = FALSE,\n",
    "    width = 1\n",
    "  ) + \n",
    "  theme(aspect.ratio = 1) +\n",
    "  labs(x = NULL, y = NULL)\n",
    "\n",
    "p1 <- bar + coord_flip()\n",
    "p2 <- bar + coord_polar()\n",
    "grid.arrange(p1,p2, nrow=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary\n",
    "\n",
    "Now that we've gone through tidying, transforming, and visualizing data let's review all of the different functions we've used and in some cases learned the inner workings of:\n",
    "\n",
    "## Tidying\n",
    "\n",
    " * `gather()`\n",
    " * `spread()`\n",
    " * `separate()`\n",
    " * `unite()`\n",
    " * `%>%` propagates the output from a function as input to another. eg: x %>% f(y) becomes f(x,y), and x %>% f(y) %>% g(z) becomes g(f(x,y),z).\n",
    " \n",
    "## Transforming\n",
    "\n",
    " * `filter()` to pick observations (rows) by their values\n",
    " * `arrange()` to reorder rows, default is by ascending value\n",
    " * `select()` to pick variables (columns) by their names\n",
    " * `mutate()` to create new variables with functions of existing variables\n",
    " * `summarise()` to collapes many values down to a single summary\n",
    " * `group_by()` to set up functions to operate on groups rather than the whole data set\n",
    " \n",
    "## Visualizing\n",
    "\n",
    " * `ggplot` - global data and mappings\n",
    " * `geom_point` - geom for scatterplots\n",
    " * `geom_smooth` - geom for regressions\n",
    " * `geom_pointrange` - geom for vertical intervals defined by `x`, `y`, `ymin`, and `ymax`\n",
    " * `geom_bar` - geom for barcharts\n",
    " * `geom_boxplot` - geom for boxplots\n",
    " * `geom_polygon` - geom for polygons\n",
    " * `aes(color)` - color mapping\n",
    " * `aes(shape)` - shape mapping\n",
    " * `aes(size)` - size mapping\n",
    " * `aes(alpha)` - transparency mapping\n",
    " * `as.factor()` - transforming numerical values to categorical values with levels\n",
    " * `facet_grid`\n",
    " * `facet_wrap`\n",
    " * `stat_count` - default stat for barcharts, bins by x and counts\n",
    " * `stat_identity` - default stat for scatterplots, leaves data as is\n",
    " * `stat_summary` - default stat for pointrange, by default computes mean and se of y by x\n",
    " * `position=\"identity\"`\n",
    " * `position=\"stacked\"`\n",
    " * `position=\"fill\"`\n",
    " * `position=\"dodge\"`\n",
    " * `position=\"jitter\"`\n",
    " * `coord_flip`\n",
    " * `coord_map`\n",
    " * `coord_polar`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Publication Quality Graphs\n",
    "\n",
    "Last piece with some additional functions to learn...\n",
    "\n",
    "## Labels\n",
    "\n",
    "`labs()` to add most kinds of labels: title, subtitle, captions, x-axis, y-axis, legend, etc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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rKVKhhApwqXvPfee3L66aeLuilYfnWxsH6qEmmDQVXJFLXK27ZMg0FLrVA3Rh0j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BTPBKVtz1JKb1b2pKK+2iTnbZwI7DlgpCfe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cqDXOPsVrvKDZ3nzzzfBG49HOhhcarzVhD3iZ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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth(se = FALSE) +\n",
    "  labs(\n",
    "    title = \"Fuel efficiency generally\\n decreases with engine size\",\n",
    "    subtitle = \"Two seaters (sports cars) are an exception because of their light weight\",\n",
    "    caption = \"Data from fueleconomy.gov\",\n",
    "    x = \"Engine displacement (L)\",\n",
    "    y = \"Highway fuel economy (mpg)\",\n",
    "    color = \"Car type\"\n",
    "  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Annotations\n",
    "\n",
    "Can use `geom_text()` to add text labesls on the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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u9KuHP169eXqlWrqjRx8PhaCwzXRo0a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Qm1W1CcfODZWP4LetjqmyHWtF+2qTMD3+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\nSIAESIAESIAESIAEsiDw/0NX8ubm7HteAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_in_class <- mpg %>%\n",
    "  group_by(class) %>%\n",
    "  filter(row_number(desc(hwy)) == 1)\n",
    "\n",
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(colour = class)) +\n",
    "  geom_text(aes(label = model), data = best_in_class)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ViPhw4dqrZ19q9mzZpKuTW2gXUcAiUa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cdRK741fLPBVkC39d9Cj6BkSMmiUpKVMZ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\nAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(colour = class)) +\n",
    "  ggrepel::geom_label_repel(aes(label = model), data = best_in_class) +\n",
    "  labs(\n",
    "    caption = \"Data from fueleconomy.gov\",\n",
    "    x = \"Engine displacement (L)\",\n",
    "    y = \"Highway fuel economy (mpg)\",\n",
    "    colour = \"Car type\"\n",
    "  ) +\n",
    "  geom_point(size = 3, shape = 1, data = best_in_class)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scales\n",
    "\n",
    " * `breaks`: For the position of ticks\n",
    " * `labels`: For the text label associated with each tick.\n",
    " * Default scale is x continuous, y continuous but can also do x logarithmic, y logarithmic, change color scales."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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omACIiACIiACIiACORDQF448qGV8H37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LLAPlYluhQvmpR7qQb+/evdOTc/69yy67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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point() +\n",
    "  scale_y_continuous(breaks = seq(15, 40, by = 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6lbt24hiIo6J1e9scaff0lRORV48ldf\nfWX23HPPlLOHDh1q+vfvnxLGDgQgAAEIQAACEIAABKIgsHLlSjs4mS2vkinQS5cuNa+//npK\n+dZdd13TpEmTlLBCd/RmtmzZMvP7778XmkSsz9MoSf369Y04Ll++PNZlLaZwDRo0MPpakVTR\nVxKNlKiOSe2rGn3WlxL11aSK+qlGhRYsWJDUKhp9JVEf1cMliaKvCA0bNjQrVqwwS5YsSWIV\nbZ2Sfk/VlzyNWi5evDjRfVV1XLRoUWL7qfQb6Tnz5s0rSR0bNWqUNd+STeGQ4tC1a9eUAkqJ\nCOohq/R1o//tt99S8kjKjvPhQA803fCTLEmunzNt49dffzX6S6Kor0qJTnI7qo5SoJNcR70E\nqY8mtY7OJ+Ok31PVV5Pahrp/Ou2Y9L6qF9okt6MzdUN6nKPvRPV8dPpQtvxYRJiNEPEQgAAE\nIAABCEAAAhBwEUCBdsFgEwIQgAAEIAABCEAAAtkIoEBnI0Q8BCAAAQhAAAIQgAAEXARQoF0w\n2IQABCAAAQhAAAIQgEA2AijQ2QgRDwEIQAACEIAABCAAARcBFGgXDDYhAAEIQAACEIAABCCQ\njQAKdDZCxEMAAhCAAAQgAAEIQMBFAAXaBYNNCEAAAhCAAAQgAAEIZCOAAp2NEPEQgAAEIAAB\nCEAAAhBwEUCBdsFgEwIQgAAEIAABCEAAAtkIoEBnI0Q8BCAAAQhAAAIQgAAEXARQoF0w2IQA\nBCAAAQhAAAIQgEA2AijQ2QgRDwEIQAACEIAABCAAARcBFGgXDDYhAAEIQAACEIAABCCQjQAK\ndDZCxEMAAhCAAAQgAAEIQMBFAAXaBYNNCEAAAhCAAAQgAAEIZCOAAp2NEPEQgAAEIAABCEAA\nAhBwEUCBdsFgEwIQgAAEIAABCEAAAtkIoEBnI0Q8BCAAAQhAAAIQgAAEXARQoF0w2IQABCAA\nAQhAAAIQgEA2AijQ2QgRDwEIQAACEIAABCAAARcBFGgXDDYhAAEIQAACEIAABCCQjQAKdDZC\nxEMAAhCAAAQgAAEIQMBFAAXaBYNNCEAAAhCAAAQgAAEIZCOAAp2NEPEQgAAEIAABCEAAAhBw\nEUCBdsFgEwIQgAAEIAABCEAAAtkIoEBnI0Q8BCAAAQhAAAIQgAAEXARQoF0w2IQABCAAAQhA\nAAIQgEA2AijQ2QgRDwEIQAACEIAABCAAARcBFGgXDDYhAAEIQAACEIAABCCQjcBq2Q4gvnAC\nc+fONe+++66pU6eO2XbbbU2tWrUKT4wzIQABCEAAAhCAAARiQQAFOqRmuPrqq82oUaPMqquu\nav744w9Tt25dc+ONN5ouXbqElCPJQgACEIAABCAAAQhEQYApHCFQnjBhgrnyyivN77//blau\nXGl+++03s3DhQtO3b1/zxRdfhJAjSUIAAhCAAAQgAAEIREUABToE0tdcc41VmtOTrlGjhhk/\nfnx6MPsQgAAEIAABCEAAAmVEAAU6hMaaNWuWZ6q//vqrmTlzpmccgRCAAAQgAAEIQAAC5UEA\nBTqEdlpnnXU8U11ttdXMRhtt5BlHIAQgAAEIQAACEIBAeRBAgQ6hnU455RQjZTld/vzzT9Ov\nX7/0YPYhAAEIQAACEIAABMqIAAp0CI11xBFHmBNOOMFoznPt2rXN6quvbq1wjB071rRp0yaE\nHEkSAhCAAAQgAAEIQCAqAtWHSaPKOeH5nH322aZ///7mrbfesnagd9xxR6tEJ7zaVA8CEIAA\nBCAAAQgkngAKdIhN3Lx5c7PvvvuGmANJQwACEIAABCAAAQhETYApHFETJz8IQAACEIAABCAA\ngbImgAJd1s1H4SEAAQhAAAIQgAAEoiaAAh01cfKDAAQgAAEIQAACEChrAijQITXflClTTLt2\n7cy6665rWrRoYXbffXfj52AlpCKQLAQgAAEIQAACEIBACARQoEOA+vTTT1t7z3PnzrWpy/7z\nxx9/bDp16mTmz58fQo4kCQEIQAACEIAABCAQFQEU6BBIDxw40DNVufIePHiwZxyBEIAABCAA\nAQhAAALlQQAFOoR2yjTK/Prrr4eQI0lCAAIQgAAEIAABCERFAAU6KtL/l4+8EiIQgAAEIAAB\nCEAAAuVLAAU6hLZr1aqVb6o4VvFFQwQEIAABCEAAAhAoCwIo0CE00x133GFWXXXVainLM+Gw\nYcOqhRMAAQhAAAIQgAAEIFA+BFCgQ2ir1q1bm7feesuarmvYsKFp2rSpOeqoo8z06dPNKquA\nPATkJAkBCEAAAhCAAAQiI7BaZDlVWEZSmu+6664KqzXVhQAEIAABCEAAAsknwHBo8tuYGkIA\nAhCAAAQgAAEIBEgABTpAmCQFAQhAAAIQgAAEIJB8AijQyW9jaggBCEAAAhCAAAQgECABFOgA\nYbqT+uOPP8yll15q9tprL9OrVy/z0EMPuaPZhgAEIAABCEAAAhAoUwIsIgyh4RYuXGi23357\ns2jRoqrU33jjDXPnnXeaiRMnVoWxAQEIQAACEIAABCBQfgQYgQ6hzQ499NAU5dnJQkr0DTfc\n4OzyCwEIQAACEIAABCBQhgRiNwK92mrBFKlGjRomqLTybdf33nvP9xSZtjvttNN843ONcBy1\nyK50qeqZa1mLPS7J9VM/lag9//zzz2JRxfJ81S3p/dRpxyT3VbVhktuRe2osbx95F8ppR/0m\n9XrUdVhKHSfvRingBPc9Nepno5N3tmIHo61myyXHeHX4+vXr53h05sN04ayxxholUUoyNfbi\nxYsDqaMuIMnqq6/u6fUwM53yiVU9g+oTcay1c4MvVV+NgonaMOntqBuu/pLeV9Vfa9WqFUW3\niTwP56FZs2bNRLdj0q9FR4GuXbu2fT5G3pEiyFB9Vddiku83TjvWq1cvAqKpWfz++++pAT57\nsVKgVWj3vGGfMucUvNZaa9m0fvvtt5yOD/KgOnXqmGXLlnkmudlmm5n58+d7xuUTKMW5cePG\nZvny5UZKeVJFDmmC4BVXPmuuuaa9Earf//rrr3EtZlHlUl/VNaG1AUmVJk2a2JeEJPdVPazV\nR3XPSaLoga37zYoVKxLfV5PcTzUY0aBBA7NkyZJE91XVMcnt2KhRIzs4uGDBgsgHQnUvqFu3\nbtbbHHOgsyLK/4Czzz7b8yS9NV522WWecQRCAAIQgAAEIAABCJQHARToENrp6KOPNkOHDk2Z\nWqGRRpmy23DDDUPIkSQhAAEIQAACEIAABKIiEKspHFFVOop8tFBQf19++aWR8qzpFggEIAAB\nCEAAAhCAQPkTQIEOuQ0ZcQ4ZMMlDAAIQgAAEIACBiAkwhSNi4GQHAQhAAAIQgAAEIFDeBFCg\ny7v9KD0EIAABCEAAAhCAQMQEUKBDBC6TT//73//MV199FWIuJA0BCEAAAhCAAAQgECUBFOiQ\naD/wwANmiy22MN26dTOdOnUyO++8s5kxY0ZIuZEsBCAAAQhAAAIQgEBUBFCgQyD9zDPPmDPO\nOCPFwYlGof/5z3+aH3/8MYQcSRICEIAABCAAAQhAICoCKNAhkB4xYoT5448/UlKWe29N6Rg3\nblxKODsQgAAEIAABCEAAAuVFAAU6hPaS7WcvkQL9wQcfeEURBgEIQAACEIAABCBQJgRQoENo\nKPlw9xL5V1933XW9ogiDAAQgAAEIQAACECgTAijQITRU//79Tc2aNaulrGkdhx12WLVwAiAA\nAQhAAAIQgAAEyocACnQIbXXSSSeZffbZx6yyyiqmdu3a9k+jz5dddpnZeuutQ8iRJCEAAQhA\nAAIQgAAEoiKAK+8QSEtZvuGGG8zxxx9vXn/9dVOnTh2z++67mxYtWoSQG0lCAAIQgAAEIAAB\nCERJAAU6RNodOnQw+kMgAAEIQAACEIAABJJDgCkcyWlLagIBCEAAAhCAAAQgEAEBFOgIIJMF\nBCAAAQhAAAIQgEByCKBAJ6ctqQkEIAABCEAAAhCAQAQEKlqBXrlypV3s1717d7PLLruYc845\nx8yePTsQ7D/99JM5++yzbbo9evQwN954o1F+CAQgAAEIQAACEIBAeROo2EWEv/32mznwwAPN\nu+++a11sqxm//fZbM2nSJDN58uSiHJ589913Rkrz4sWLjfKRfPLJJzbdBx54wKy2WsVityz4\nBwEIQAACEIAABMqZQMWOQE+YMCFFeVYjytX2L7/8Ys4///yi2lTnu5VnJ+23337bPPjgg0Wl\nzckQgAAEIAABCEAAAqUlULEK9JQpU6pGnt1NoBHj5557zh2U97bOd0ae3SdLQVe+CAQgAAEI\nQAACEIBA+RKoWAX6zz//LN9Wo+QQgAAEIAABCEAAAiUjULEKtOYo16xZsxp4zU/u2rVrtfB8\nAnS+1zxn5bfHHnvkkxTHQgACEIAABCAAAQjEjEDFKtAHHXSQ9RLoVqK1Xb9+fTNs2LCimum8\n884z9erVS1HQlfbWW29tFy4WlTgnQwACEIAABCAAAQiUlEDFKtBSaGURY/DgwWbzzTc3G264\noenTp4+d/9yiRYuiGmW99daz6Rx22GE2XaU/ZMgQc//993uOTBeVGSdDAAIQgAAEIAABCERK\noKLtqdWqVcucfPLJ9i9o6s2aNTOXXnpp0MmSHgQgAAEIQAACEIBAiQlU7Ah0ibmTPQQgAAEI\nQAACEIBAmRJAgS7ThqPYEIAABCAAAQhAAAKlIYACXRru5AoBCEAAAhCAAAQgUKYEKnoOtNrs\n6aefNtdee61ZtmyZ6dWrlznttNPKtCmTVezly5ebqVOnmgULFpi1117bdOvWLcWqSbJqS20g\nAAEIQAACECgnAhWtQPfs2dO683YabMSIEWb06NHmo48+MquvvroTzG/EBD799FMjM4NSnldd\ndVXz+++/m3XWWcdaTWnZsmXEpSE7CEAAAhCAAAQgkEqgYqdwSFl+9913U2n8tbd06VI72lkt\ngoBICMgFuswJ/vzzz2blypX2y4B+Z82aZfr27RtJGcgEAhCAAAQgAAEIZCJQsQr0uHHjfLl8\n/vnnvnFEhEvgtddeMz/99JP5448/UjLSKLRGpj/88MOUcHYgAAEIQAACEIBA1AQqVoHWnGck\nfgSkPLu9Q7pLqGk1ikcgAAEIQAACEIBAKQlUrALdqFEjX+41atTwjSMiXAKbbLKJWbFihWcm\nClc8AgEIQAACEIAABEpJoGIV6JEjR/py33///X3jiAiXQLt27UynTp2qjUJrVFrtIjfpCAQg\nAAEIQAACECglgYpVoLt3727OPPPMauylvN14443VwgmIjsCtt95q1D4SfQ3Q3wEHHGCuuuqq\n6ApBThCAAAQgAAEIQMCHQEWbsRs0aJDR33333WdNph166KGmQYMGPqgIjopA/fr1zdixY83c\nuXOtFY569eqZhg0bRpU9+UAAAhCAAAQgAIGMBCpagXbIHHLIIc4mvzEi0LhxY9O0aVMze/bs\nGJWKokAAAhCAAAQgUOkEKnYKR6U3PPWHAAQgAAEIQAACECiMAAp0Ydw4CwIQgAAEIAABCECg\nQgmgQJdpw//555/WW58895WTyPvjCy+8kFOR5TxFHgnTnarkdDIHQQACEIAABCAAgZAIoECH\nBDbMZG+66Saz8cYbmyZNmph11lnHDBkyxC62CzPPYtM+77zzzLrrrmt69uxpNOdc27169fJM\n9tdffzUXXHCBadOmja3fpptuakaNGoUi7UmLQAhAAAIQgAAEoiaAAh018SLzu/LKK83FF19s\nfvnlF5vSypUrrRWR/v37F5lyeKffe++95pZbbqmWwRtvvGG8yj1gwAAjU3bLly+35yxZssSM\nHj3aDBs2rFoaBEAAAhCAAAQgAIGoCaBAR028iPykSF5zzTUmfdqGRmxffvll8+abbxaRenin\naoTcT5555pmUqJkzZ5pJkyYZ1ckt2h83bhwWOdxQ2IYABCAAAQhAoCQEUKBLgr2wTKVcal6w\nl8hT34wZM7yiSh6WrvBnKtD7779vateu7XmI6vjhhx96xhEIAQhAAAIQgAAEoiKAAh0V6QDy\nkTMRvwV1WlSYBCcwa621VrURdgedFHEcqjg0+IUABCAAAQhAoFQEUKBLRb6AfFu1amU222wz\ns+qqq1Y7e5VVVjHdunWrFh6HgNatW/sWY/XVV0+J23HHHU3dunVTwrQjd97Nmzc3HTp0qBZH\nAAQgAAEIQAACEIiSAAp0lLQDyEsurjVKW6tWLSOlWb9SQrVIL66jszJb56X0C8dLL72UQqVO\nnTp2rrN+VTcpzvpdc801bbjqjEAAAhCAAAQgAIFSEsCVdynpF5D3RhttZF599VUzceJE8913\n3xm5u5ZpOJmFi7N8++23pk+fPlZh1nQT1WPKlClG85rTZYcddjCvv/66eeihh8zcuXNNs2bN\nTO/evWP7gpBefvYhAAEIQAACEEg2ARToMmxfTXGQ+Tcpz4sWLTKLFy8ui1rcfffdOZdz7bXX\nNscff7xp2rQpljdypsaBEIAABCAAAQhEQYDv4VFQJg8IQAACEIAABCAAgcQQQIFOTFNSEQhA\nAAIQgAAEIACBKAigQEdBmTwgAAEIQAACEIAABBJDgDnQITWlvAaOHz/evPjii2aNNdYw+++/\nv/2TVYliRQvybr/9dvPxxx+bFi1amEMOOcRss802xSYb6vmy4XzOOecYeR6UV8Htt9/eyC25\nLIogEIAABCAAAQhAoJwIoECH0Frz5s2zljF+/PFHs3LlSpuDLE48+eSTZsyYMdY0W6HZTp8+\n3Rx00EHWoYoUUZl10+K8yy67zBx++OGFJhvqeVKepeD//PPPVflIkd5qq63MK6+8Yl8CqiLY\ngAAEIAABCEAAAjEnwBSOEBrooosuMj/88EOV8qwspEQ+9dRT5oknnig4R5l/O/HEE82KFSvs\nKK4SkmdChZ911llGCnscZejQoSnKs1NGvQD07dvX2eUXAhCAAAQgAAEIlAWBGn8pX3+WoqRS\n9gYMGJCS9WGHHWb23nvvlLBCd1ZbbTXz+++/W+Wy0DQKPU+m1xYuXOh5+oEHHmjuuusuz7hs\ngR999JHZeuutPQ+T45FrrrnG9OvXzzO+lIGaZuIefXaXRSPoy5YtcwelbMtOtBTtpIoczOhP\ndSzRpRg6Wk1bUjvrekyqOPbMk95X1Uf10p5UkVMq9dOk99Uk91Pda/T816BVUvuq7ql6bqiO\nSRW1odrS+YofZT3FVVNvs0nJpnAsX77cvPvuuynl22uvvaxXvZTAInYEvxSSqcGlLKa7r861\njLqpq05+NwXdFAtNO9cyFHJcppu1HsjZypwtvpAyxe0cRwGLW7mCLI+fN8og8yh1WpXQV0vN\nOOz8nZfasPMpZfqV0E+lgCVdKqEd41zHkvWwVq1amU8++SSlf2vUVlMfghAtTpOTkVK8oWmB\nnBYPpiu66gjysldoHeVcRCPNWqCYLprW0bZt24LTTk8vyH2Nmj///POeSWq0PhOPpDtSkYty\nOcbRCH2mFw1PeGUSqH6vfuv3VaZMqpGxmE2aNLEvtz/99FPG48o5sn79+raPavAjiSLFWfeb\npUuXJr6vzpkzJ4lNaOukkcMGDRqY+fPnmyT3VdVR662SKo0aNTK1atWyU1Oj/jrr3AuysS3N\nEG22UpV5/PDhw62LaveIm0YY119/faNpKoWKFBHNr04fWdeb9sEHH2w222yzQpMO9TxZ23Cz\ncGc2evRo9y7bEIAABCAAAQhAIPYEUKBDaKJNN93Ummvbbbfd7Oii3qSkOD/++ON2JK6YLKUo\n33bbbWbLLbe0c3SklP/nP/8xV1xxRTHJhnruOuusY/773/+ajTfeuMoCiUbT7733XrPrrruG\nmjeJQwACEIAABCAAgaAJlGwKR9AViVt6m2yyScGLBbPVpUePHmbfffc1jRs3ttNUFi9enO2U\nksdvtNFGdlpLyQtCASAAAQhAAAIQgECRBBiBLhIgp0MAAhCAAAQgAAEIVBYBFOjKam9qCwEI\nQAACEIAABCBQJAEU6CIBcjoEIAABCEAAAhCAQGURqHgFWibhpk2bZt1sB22C6uGHH7aOYeQ8\nJd1kX7HdbLvttrPG4lu2bOnrpKSQPGT259ZbbzXDhg0zkydPLiQJ33M0V3vq1KmW9ezZs32P\nU4RsXo8YMcLO9b766qszHktkfAnIJJiur4kTJ5pZs2bFt6CUDAIQgAAEIJAHgbwXEV5++eVG\nHvHk8a5Lly5VVhXyyDM2hz799NPm1FNPtbZNHY832h8yZEjRZWzTpk2KveauXbuajh07mkmT\nJhWV9s0332xkJs8R2dZt3769/VN9ihGdf+yxx1Z54Ro7dqyRtYznnnvOLlgsJu3HHnvMnH76\n6TZteVGSfe4zzzzTnHHGGdWSnTJlijnyyCOrPPOpXLIyIiVMLw5IeRCQ7e8TTjjBepqUGUPZ\nKj/mmGNs/1UfQCAAAQhAAALlSiDvEej11lvPKjK77767kWWF8847z3zxxRdlV3+NCEtZ1Ai0\nPAdq5FWOT66//npzzz33FFUfOUvxcnYyffp0M3LkyKLSdivP7oRmzJhhlH6hIqPzRx99dJXy\n7KQjBx/77LOPs1vQ7/vvv29OPPFEq0iJtRQpjTDLPvRDDz2UkqbC3cqzE6m26dWrl7PLb8wJ\nfPPNN/Yl+5dffqlyviFj+Lfffru55ZZbYl56igcBCEAAAhDITCBvBVr2jH/88Udz3333mc03\n39xccsklpnXr1qZz587WPrG8/5WDjB8/3nP0XCOjUqKLkW+//db39BtuuME3LluERsczSe/e\nvTNFZ4wbNWpU1Yhv+oFShjLVKf349H3ZrfYacZSyfN1116UcLkcxfl6HpESr3ZD4E7j77rs9\nCylvi8VeX54JEwgBCEAAAhCIkEDeCrTKVrt2bev57oknnjDfffedkfKlB6M+z8ppRt++fe1n\nfz9FKML6+Wb12Wef+br5/v77733PKzZCo6+FiqZSZJJi3JZ//vnnmZI2H3zwQcb4TJFKW8qy\nl6TPi82Wz5tvvumVDGExI/Dll1/ae4JXseRGOM73Bq8yEwYBCEAAAhBwEyhIgXYn0KxZMzuP\nVQvPTjnlFPt5/s477zSa4iHX0o888oj78Nhsy9GJXGB7SYsWLbyCAwnTy0ehsueee2Y8Ve7C\nCxXN2c4kW221VabojHFi7efKW4sg3ZItH02PQeJPQF4n/fqj7hleXyTiXytKCAEIQAACEPj/\nBIpSoPVpX5YS5FZ6iy22MDfddJM54IADjEamtfCrVatWRtMKNO8xbqJ5tl4iRW/AgAFeUTmH\nqd5+4rVozu/Y9HCN9GeSZ555JlN0xriBAwcaLaT0kg033NA0b97cKyqnMM2t9hIv1kOHDvVV\nrnT84Ycf7pUUYTEj0KdPH8921EtrtqlIMasKxYEABCAAAQhUI+CtMVU77O8AWX2QdQZZ4JCi\neNZZZ5nVV1/djB492mjqwwMPPGB69uxpNFr61FNP2fnRmgMbN9G8bSn2a665ph2JVh2koA0a\nNMjI7Fwx8sorr5gGDRpUS2LXXXctWnnwM+mmkVmN+BcqKq++HKSPyktxfvLJJwtN1p7Xtm1b\nu3CsXr16dlRSrJXP2Wefbfbff/+UtNUGWsSZPkKp8GLLkZIRO6ES0GJjteNaa61l27pWrVr2\nBU1WOY466qhQ8yZxCEAAAhCAQNgEavw1F/HPfDKR1Y0LLrjAmjfTKFP//v1Nhw4dfJPYbbfd\njD7Z3n///b7HOBFSzmU3NgjRg1sLGrPNC5b1Dc2r1dxkTR9o3LhxENnbNGTzWIsGpaRfeOGF\nJn26QjEZ9ejRw9qWbtSokXn55ZfNGmusUUxyVeeK14MPPmi++uors8suu9i/qsgiN9S2b731\nlrV6ss0221jlKlOSWmz28ccf23bxG8XOdH45xKlv1K1b19ry1jqCpImuK1mIkfUVTeVp0qRJ\n0qpo66N66QtO0Lbk4wSrfv36VRZV4lSuoMqil/SmTZvaZ5CeRUkV9VWtQ0iq6FmoASFZltLz\nPYmivqo6zps3L4nVs3WSbqOBFxmtyFNNLZqJcy/IllDeCrTmNKsy++67rx15zpaBjk0fTfQ7\npxQKtF9Z4h6uUVwp+3pJkIOSpIoeaNmcrpRz3ZOuQKtt1Ffr1Kljkq6UoECX85Vo7BdIFOjy\nbkOVHgW6/NtQNSgHBdp7FV0G/u+9956d3/zpp59au7zZpg3kqjxnyJIoCEAAAhCAAAQgAAEI\nxIZA3nOgO3XqZOc0nnvuuUZzW/WnedCvv/565MPssaFIQSAAAQhAAAIQgAAEKoZA3gq05t6+\n9NJLdq6fFp1p/vOYMWPMjjvuaGT+TR7nirEGUTHkqSgEIAABCEAAAhCAQFkSyFuBdmqp+bcy\nKSaPhFqQIAsJWiwoZXqvvfZyDuM3BAL9+vWzizg1PUZzaHfeeWe7SCuErEqWpCy3bLfddtZp\nz0477WQmTJhQsrIkOWOtUbj55pvNtttua9Zff33bl9Ldqxdaf7nxHjx4sNloo43sglG5Yn/3\n3XcLTa7g87SQ8eKLL7bmNjfYYAPTvXt388ILLxScHidCAAIQgAAE8p4D7SCTxYA33njDTJs2\nzf69+uqr1pJFw4YNTdeuXZ3D+A2YwD777GPeeeedlFTl9U1u1eVdMQkiSy/jxo2rsqDy9ddf\nm3//+9/2q8dpp52WhCrGpg6afnXvvfdWeQ1UXzr99NPN3LlzzXHHHVdwOaW0ykSh2yPh9OnT\nbdikSZPM1ltvXXDa+Z6oF33dqxwrJx9++KE57LDDjJw/ZXNOlG9eHA8BCEAAApVBIO8R6Gef\nfdbsvffedkRJZs40sqOR0GHDhtl50D///LN5+OGHK4NexLUU23Tl2SmCTMTJ7Fu5i1zDy854\nuvlB7Y8cOdKaJir3Osal/HKxrmlYjmLplEtu13VdF2PdRfbgZQrRnbZGu5W21k9EJXrB1/oM\ndzmU9x9//GHXbkRVDvKBAAQgAIFkEchbgdanT3kZ1ANJI1QfffSRHYGWU4ztt9/e12VzsrCV\npjZSdjKJRvbKXWSTW7YfvUS2GWUFBgmGgFj7uZaXsvvBBx8UnJGcCcn2c7ooXbWhfqMQjTz7\nWQKSfdEk222Ogi95QAACEKhUAnlP4dD8W9l0nTx5svXkp/mTcuPdrVs3s8ceexg5TtG8XCR4\nArKLmEnkkKPcRX1Lo4NeotHLoBzGeKVfaWGZWKsNimGtc2UX2astZRfaT6kNug1URz8X9crL\n7wUi6HKQHgQgAAEIJItA3iPQWhA0dOhQO+osTz9aPKhFOc8995z5xz/+YZ17aNEXEjwBvbxk\nkoEDB2aKLos4mUnUSLOXyPNSlHNnvcqQpDC5lveTtdde274Y+8VnC5ejJS+RC3dNAYtKtKDZ\nayRcSrUWqapPIRCAAAQgAIF8CeStQLsz0CiTHoZa4CXlTSPQmqv62muvuQ9jO0ACZ555pmdq\nMiOoOenlLnIXfN1111klWsqWpGbNmtabnSy8aBsJhoDc3V9zzTV2hNbNWlNobrrpJt8XmVxy\n79Kli+nTp49Nwxlt1shz8+bNzQUXXJBLEoEcs+mmm9oXfpXBGYlWOaQ4q+4IBCAAAQhAoBAC\nebvyVibyL//iiy9ae8+ayvH+++/bvLfZZhs7Cq3V91tttVXe5cGVd27ItJBT5sFkKUEvMSec\ncIJJmnWKmTNn2gVus2bNMq1atTJ9+/Y1MkGWNImDK++PP/7Y3HXXXUbWTuRZVF861ltvvUBQ\nT5061Tz++ONmyZIlpmPHjtb0ZTFTQwotlF7qH3zwQesWXvcp9adsU6LyyatJkyZWQU/ynGq9\n3Grti+7/SRR9+cKVd/m3rO4vekHWF/Ik91XVcd68eeXfYD41KAdX3nkr0JrzLDNXy5Yts6OC\nMlknhVl/xT50UaB9epJHsEbRZIt70aJFRVlL8Eg6VkF6oM2ePTtWZQqyMHFQoIOsj1da6qua\ni6zrO6mCAl3+LYsCXf5tqBqgQCejHctBgc57EaHMpfXu3dsqzJpfqFEJBAIQgAAEIAABCEAA\nApVCIG8FWqPPCAQgAAEIQAACEIAABCqVQFGLCCsVGvWGAAQgAAEIQAACEKhcAnmPQAvVE088\nYa699lqjxUdayOYlmpuLhENAC+uGDx9u5ElOcy/POOMMIyscQch///tfa51AXg+1oEwWE9ZZ\nZ50gkjbnnHOOeeyxx+xCJDndueWWW+w8eq/EtVBS3i21SEJ1HDVqlF2E5nVsJYRp6pS8+8kN\ntUzMHXDAAaZNmzaBVF39SQvs9Lvxxhubgw46yHoaDSJxec6U4yWtmejQoYNdZOxY/Agi/VzT\n+OSTT8zEiRPt/apdu3bmX//6l52Xnev5HAcBCEAAAhBwE8h7EaE8jMlElczVySav30P8vvvu\nc+eT0zaLCLNjmjJlijnyyCOreXI79dRTi3ZN/J///MfceuutKYWQ+a8JEyYUbSJPyvgvv/yS\nkrbMir377rtWIXRHyM74HXfc4Q6y2zLhN2jQoGrh5RyQyyJCuTeXjXW9rMqmsUz56fq78sor\nzcEHH1xU9WW/vX///jYNpS0TdvqTQr3lllsWlfYVV1xhrrrqKmvKTk5wVO7WrVubRx55JNK1\nE3fffbe1WiPFXVYktKhRL2WPPvqoNatXVCX/72QWEQZBsbRpsIiwtPyDyp1FhEGRLG065bCI\nMG8FWsrNyJEj7UiYlKIgBQU6O02ZdPNyDKEzX3rpJSNHN4WI3Db36NHD81RZUNBod6EiBe2Z\nZ57xPH3dddc1cintiJRFjU77icqh8iRFclGgtWh3+vTpVml211sPfL3QtmzZ0h2c8/bixYvt\nS7BMzLlFL01K89VXXy3YY6DMxqnc6S67pURrhFv3kCjkyy+/NHIYk+4RUcq0nPYU8qLvVW4U\naC8q5RWGAl1e7eVXWhRoPzLlFV4OCnTec6D1QNKDJ2jlubyatjSl1fQKP+VZJZLzi0Llxhtv\n9D1Vn99nzJjhG58tQqOcfvL999+nRF166aUp++k7leb8YsGCBVaR1YhzukgZfeqpp9KDc95/\n4YUXqinlOllK77fffms++uijnNNKP1DTJRzHJe44jQBrBDoq0XQzcUoX8ZQte71EIBCAAAQg\nAIF8CeStQMtBipRoJHoC2Zw0yHB8oSJFLZP8+OOPmaIzxnkpf34naO51Jvnhhx8yRScuLtNa\nAk2LKMa2ss71UnIFUaNx6VNu8oGr/qTyeYleyNJHpr2OCyJMdfArh8qAAh0EZdKAAAQgUHkE\n8lag5fVOcwg153bFihWVR6yENd59990z5i6nNoVK586dM56qrw6FSrNmzXxPTV9QpsVxmeTQ\nQw/NFJ24uBYtWlivWl4VkwJYiMdPJy2tYfDz1KW027Zt6xya9+92223nu0BUX68c9955J5zn\nCeLjl5c+EWbqm3lmxeEQgAAEIFBBBLIq0Brx0+p5508LCGUR4LrrrrMefzTn1olz/1YQw8iq\nKusLfkqy4opRLo8//nij+bhesu+++5p69ep5ReUUNmbMGN/j0hcFHnLIIaZu3bqex2ueaVDW\nRjwziGGgRojPO+88OyLsLp6mJbRv397sscce7uC8tqXI7rffftWmOChtvSA3bNgwr/TcBx92\n2GF2oV76C5Lqc/7557sPDXVbzp5Uz/RpHBphVzn8lOtQC0XiEIAABCBQ9gSyKtB6wDgr853f\n9ddf35oU23bbba0FBSfc/Vv2ZGJaAVkUkEUG94Nf1hK0gLBY0aKxTTfdtCoZ5aEFX3LfXox0\n7NjRaI61W5lS2ieffLI57bTTqiWt+dZaXOgWmVd7++233UEVs62XiquvvrrKnKC+AMkMm6yj\nuPtBIUBkjvK4446zL8M6X0qzzA0OHjy4kOSqztFCHs0/7tatW5Xyr5dt9d9ddtml6riwN6Sw\ny6KIvmw4SnTz5s3tAIAWOSIQgAAEIACBQgjkbYWjkExyPQcrHLmSMvbzuBZkySKFvggEKZqz\nLPvLTZs2DTJZm5baWFN/cklbc1dVtyS7i8/FCoe7EcSjdu3avnOX3cfms60pG0rbb/Q/n7TS\nj5USqxFf9ddSiixxaMqKlPugBSscQRONPj2scETPPIwcscIRBtXo00ykFY7oMZKjHwE5OJFy\nErRopDgXBbeQfBs0aJBz2nqgaeQZ+ZuAHg5htLlGssNQnlVy9acwlNa/qeS2JW5xKEdupeUo\nCEAAAhCIM4Hgta8415ayQQACEIAABCAAAQhAoEgCKNBFAuR0CEAAAhCAAAQgAIHKIoACHWJ7\na77lO++8Yz7++OPA7d5OnTrVHH744dVcbwdRHXmRu+uuuwK39605qHLOIffduZhAvOWWW8ze\ne+9t7r333iCqVXAaYi2rFPfcc0/BafidKAsbe+65p3n22Wf9DqkKl3MTtUsQC0arEg15Q3Or\nP/nkE+tJMZe5+rpWVEddN0GLHBFpEeOsWbMCTVpz9VXet956q+TzvAOtGIlBIA8CX3/9tfUq\nm82nQB5Jxu7QmTNn2sXsudzLYld4ChQ4ARYRBo70/yd45513muHDh1tFUUqEVv7LU6AslxQj\ncqYiqxbpzknGjh1revbsWUzSVgk48MADUxYlygTYk08+aReuFZO4LHycdNJJZvbs2dZyhBbC\nXXLJJdbKR3q606ZNsy8H6eEqRzF2j9PTy7YvhVX2r9MdcUjBy2aTO1va8qh42WWXpRymOd9y\nqa554m5RW8vc3HvvvVcVLH56sdhhhx2qwuK2IWsqsvAhjppjrbnQsvBx7LHHVivq3LlzjUzO\nuZVbLSKRJY8NNtig2vH5BOiF44gjjkh5adtmm23Mo48+WvR8cvVVWZJxlAaZe7ziiiuMTD8m\nTbSYVwtB/WyHl3t9WURYWAvqmtV1rpdIMdTzrn///tb8ptvyUmGp539WGIsIP/zwQ3PMMceY\nb775xt4zVM8hQ4aYE088Mf8CBnCG8tdzQov9kyrlsIgQBTqE3vf444/bCytd8ZLSI/fJ6623\nXsG5Spnws2bwxRdfFKzo6qG4ySabVFPMVVCZyZs8eXLBZVa5pHCmuyHXoq7x48dbU2fuxNNN\n2Lnj0l1/u+OC3m7ZsmU15dnJQzfSQh8OX331lVXMnbTcv0pTabulV69e5o033nAH2W3dRHVj\n97PfXe2ECAPmzJlj66iRGj1QHVH9Ro0aZfSi5hYptF7eLqWQfvrpp+5D89qWd8527doZff1I\nF5nTu//++9ODc97Xy46+kKRf5+rXDz30UKxfbnKupOtAFGgXjDLelMUYXZ9BiJ5Fu+22m/nu\nu+9Snh0yGXn00UebYcOGBZFNXmkErUDr5V4DKfJamn4vGzFihJHN+6gFBTpc4uKbiyEFpnCE\n0A4jR46s9lBVNnrQ3n777QXnqJE0P+VZieqtv1CRUpM+qu2kJUUhm4tt51ivX42OeykwCtNo\nnVv0lp9J0o/PdGwxcXoJSleM3OnJI2ehIhvOfqI2kILtiG7aXsqz4lU+jeLHUTRKr77qfuCo\nnKqfrg+3TJ8+3VN51jGq/3333ec+PK/tiy66yLPvKRFdT8WMpl5//fWeZVGdZbcbgUDSCWhg\nRYMa6c8OXfu67ydhqoOm7mnKYS73sqS3N/VLJYACncojkD23AuROUDcVzQEuVDSqlUk0f7RQ\n0UhmJpGSU6go7fQbrJPW559/7mza32zOUp5++umU48PamThxYsak33///YzxmSKzvYxI+XRE\nLy+Z5H//+1+m6JLFqVzpXxycwuiTr/thpOk9mURziwuVbNdEMfx0rtdLluqmed8IBJJO4LPP\nPvN15qR7vntKVrmy0LXsdy/TlMpMg1rlWmfKnRsBFOjcOOV1lNxqe4k+C8iLY6GSzY217EIX\nKtmmlbg9FOabh6ZC+NkuTv9MomMzyeabb54pOrC4bHPVW7RoUXBe2dyid+/evSptee/LJMWU\nI1O6xcapPzme/9LTkrdDtwdFTR3KJBtuuGGm6IxxmaYD6cRsfDMlnuma0ZoHBAJJJ5DtmaPp\nIuUume5lmtbkd58r93pT/uwEUKCzM8r7CC2S8rqoNGWhmPlSBx98cMay3HDDDRnjM0WeccYZ\nvtG6CRajaPTt2zdlxNHJSPNhtfjELXfccYd7t9r26NGjq4WFEZBtcYhckxcq2aahuBcG6gUj\nk6I2aNCgQosR6nmHHnqo5+isMzfSnbkWD8qjppfopfOoo47yisopLBOfVq1aVVuwmVOi/3eQ\nyuX1Yqgyey2UzCdtjoVAORDQGoDVV1+9WlF1nStOL8vlLgcddJDnNDDVsZhpk+XOhfIbgwId\nQi+QUti7d287yibFQIsHpSxqXmT79u2LytFPwdTDvJiROo2YaR60e2RQBdWCDFkrKEa23357\no8UWUizEQkyUjywjSLl2i1YW+ykf5557rvvQ0LdvvvlmzzxkTaRZs2aecbkESmHUohQvefDB\nB6sFi7+XO/MLL7ywqBebahkFGNCmTRujFzo9XJ02l7Ip6xQDBgyolpPqnf7SqePHjRtX8MJY\nZaIvJzIVmC7qZ8X2ay2MPfvss60SrT7t9OuTTz7ZaOEnAoGkE9ACZpmGlKJcq1Ytew3oPt+h\nQwdz5ZVXJqL6GjySBS3Vz6mj7k26jw8cODARdaQShRHACkdh3HI6S3OntABMCkSXLl1MUJ+z\nNLdMK5w1B1Of0GQSrRjl2V0Zzc+V4qOFIdttt5013eOOL2ZbVhZki1dzxjTKKiXLT7SqW3au\nNcdM0zoeeOCBokYL/fLJFq5FZlrYKNaaLjFmzBiTbVpAtjSdeM3tlX1pmUCTpZNsFiFksUTz\nhdXmWsSY7fOpk08pf7WC/cUXX7Rtruk3W2yxhW9xNM9QI/taJ6CHlhTRbNNdfBNLi/jhhx9s\n2jKjKOsb6ltBifqqbJtr7rMsfmhkO4mCFY5ktGqQVjgcIlos+Nxzz1nrHjJ9mm26oXNeGL9B\nW+FwyiiTcaqjFjbLapCu9VKJXlIwYxceffFNn17qlRsKtBeVMgjTyF7jxo3NokWL7AVdBkUu\nqIjqxFJ6kioawalbt661cpLUxSjqqxqdXbhwYVKb0b4ca1RKL3xJFRToZLRsGAp0nMiEpUDH\nqY4o0OG2Rq4KNFM4wm0HUocABCAAAQhAAAIQSBgBFOiENSjVgQAEIAABCEAAAhAIlwAKdLh8\nSR0CEIAABCAAAQhAIGEEUKBDalAZkJdpuI4dO5rOnTvbFcnFeD0LqZixTVbWGrRYT9ZL9FuM\n+b9iKilvWm3btrWm5Fq3bh2Ya1otOJPDlJ133tmm3adPHzNjxgzfol577bV2cZpYaDHjPvvs\n42kmzjeBEkRoUaDKLYsjsvWsBZPpbsqjKJZYawHmHnvsYWTfWxZrinFoFEWZyaMyCWhB6umn\nn1713LjqqquK8pZZmRSDr7XWp8jzqIwBaHG9Fjh/+eWXwWdEimVFgEWEITTX119/bXr06GGW\nLVtW5YFPJrpkgWDSpEnVzHUVUoQkLyLU6mZZb0gXWTd45ZVX0oND25fZvNtuu61a+jvttJPJ\n5hWy2klpAWeeeaaR6TbHQ6MWoMm037333mutRLgPHzp0qPEyX6jFhzNnznQfGptteeg78MAD\njSyNOIsj9TKkfvvUU09ltMASdCX0sHvsscdSWIu3LLu4bW4Xk68WZrGIsBiCpT/XWTgkixKl\nWPAqD7Z6bmigxbkv6Lmh+6E8o+r6CUJYRJgfRflvOOSQQ8zrr79edS9TX9G97Mknn7SmMvNL\nsfijWURYPMNMKTj3gkzHKI4R6GyECogfPny40U3YuQkqCSkRcmk9YcKEAlKsnFMef/xxT+VZ\nBPSAiWrk8JdffvFUnlUOmZIrxrX5O++8Y03WufuHbtJSOr0c2ngpzyrHkiVLzCWXXKLN2Ile\nFN3Kswqo+q5YscJEac/7tddesy+t6ay1jw3X2HWbii6Q7JW7B10EQ8+N999/377sVTScElb+\niSeeMLqPOAMBKoru1bqXnXXWWSUsGVmXmkAwr7QB1UIjOBpVC0L0BiHTWVJMohbZvdUFli66\nAGUH+fjjj0+Pyntf9ZNohCIoZnkXIoQTrrvuuoypjhw5Mqu95IwJ5Bjp5dDEfapGoLv89Tmv\nENHNWO2mG3C6aOrP/Pnzq7wPTp48Of2QlH29cFx88cUpYXHYcWw/p5dF14VeQKLqs2KtkTtN\nJ0mXL774wr7oakSuWNG9SxJVvYotbyHnq8+qns69p5A04nyO04bqL6Vox0zPjeeffz4wm/z6\n0lWK+kXV9hoZlsjpSRB99aWXXvJ8nku3kJ8H6RlO34mqjmpD1S3J7ei0ncwSRi2a9peLxEqB\nVoFzLXgulVNaQaaXS546JtPFpLigyxR0ernWM4zjMrFTfrqooqhvts+lxbSj6qAboJ8ozqmj\n8zDI5Vi/Y0oR7tTRqYe7DO76ucPD2M7Wn4ppR3d5Vc8o6+XOO8pt1dOrTaMsQ1h5uevl3g4r\nv/R0M/VV3Y+CLFOQaaXXo9T77rq5twstl6PIeZ3vXPNB5OOVvl+Y8pVEna9sImzDAABAAElE\nQVRfecIId+rm/IaRh1+aueYZKwVab3Sa+hCE6O3TPZcsiDRzTaNbt25Gn33cn411rkZwtJAp\niDpKsdLbp0a1g0gv17qFfdygQYMyeok755xzIqmv5iJmEs2JK5S7Fg56jT4rP3mUlFtcJ20t\nQs0kmmfsHJvpuKjjunbtWm2aisqgh5EW1UZVZnkdvOyyy6pVXw8gufmWl9AgyqJrUWkGkVa1\nwsYkQG2n+01SF0OrfnIWo/t2KdpR18wzzzzj+dyQ2/igyqS+GlRaMema1YqhUWHdY4Poq7vt\ntptd8J3+PFd/0f0liDyqVSBLgPKWDpDkdtS9WaJpTbkqtFmw5RwtvrkIc6BzoZTnMcOGDbNK\nkBRmR7StBUv//Oc/nSB+PQjoQSHX3V6ixTRBuSz3St8dps9GAwYMcAdVbe+1116mffv2Vfv5\nbmgx6XHHHZfyedG5IY4ePbpacqeddlq1MAU0atTIrtj3jCxxYM+ePY0UgvRrQApKlFNO5HK3\nb9++Kaw1mqcX7KuvvrrElMgeAn8TOP/886175vRrRouWDzjggL8PZCtSAnvuuafp3r17yiJO\ntZFeROK6BiVSQBWc2arD/5K41F9vjO6J+sWUS2+gmvdYijnQUhIOOuggO29Kb4jrr7++OeGE\nE8wFF1yQchEWUz8pXFLyVEev+Z3FpF3qc4899ljzwQcfGM1RlejTpkZa77777kiLptGFVn9Z\n/njvvffsaIZGhqVUB3HT7PLX/GmZdlu8eLG9EUvZ1PxvKdfponLIdJ3m4un6UNvr+KlTp6Yf\nGpt9jcbuv//+1sW1FmSKnUwT3nDDDdYsYZQF1VcfvXjJsoLuC9pXOTQCHZQ4I9Ba2JlU0UuH\n7qfpI3FJqa/uM2pHXWN+X4jCrKv7uaF+pHvPiSeeaKRY5zoilkv5kj4CLeVWo5dBfoHeb7/9\nTNOmTe09RO0kM6I33nij72BPLu1QzDHqq6qjRmeTKrpXa7BDz8ioxbkXZMsXM3bZCMU0Xp9v\nGjdubBYtWlSSDhYVFt20Zs+eHVV2keez5ppr2of2zz//HNjLY+SVyJKh+qpuhqUwDZalaIFF\nY8YuMJQlS0hKqu43GvRIel+dM2dOyTiHnbEGlho0aGAXY5diekXY9VP66quq47x586LIriR5\n6AurXtp//PHHkkzh0L0gmzCFIxsh4iEAAQhAAAIQgAAEIOAigALtgsEmBCAAAQhAAAIQgAAE\nshFAgc5GiHgIQAACEIAABCAAAQi4CMTKjJ2rXGwmkMDnn39unn32WbvosVOnTkYWEvxEi2jk\n8llORTS/VJYvHLM2fufkGv7000+bK6+80s4d33XXXT3NnDlpaY7Z6aefbj799FO7+E0m0dq0\naeNEF/Urd+VyyKL5llowpIWFWrwQtWiO2RVXXGG++eYbs9lmm5nBgwebevXqRV2Mss3vk08+\nMXfeeaedp7f11ltb18tlWxkKDgEIQKDEBL799ltz77332sW8eibtuOOOJS6Rd/YsIvTmEvvQ\ncltEeO2115oRI0bYRQGy6aiV7v/4xz+MwtOVRrk8lxUTx8aljteCyQceeMBstNFGRbVN7969\nrSc8dyJakCGPUs2bN3cHW1vesgiSLrLEMWTIkPTgvPafe+45c/TRR1edIw99rVu3tnXU4omo\nREzTzfWJh8KDumkleRGhTPLJoode7tRPZRGnT58+GV/KomrboPOR9QFdt0lemMUiwqB7TfTp\nsYgweuZB5njXXXeZoUOHpugKssV92223WdvXQebll5azoNgv3gmPfrjLyZnfiiEgF7VSnqVg\n6OErE1EyhyU31LfccksKBykgRxxxhFmwYIE9TscqTJY4jjzyyKJW444bN66a8qzMpbzKtFm6\nyFazl1xzzTXmhx9+8IrKKUwWN4466ijLQjz0J8Xks88+M2eccUZOaQRxkEa+NbqeLuJx6KGH\npgezn0bgySefNGPGjLF9Uuak1I7q1xo50R8CAQhAAAK5E5gxY4YdnNJ91Lmn6nkkHWLUqFG5\nJxTRkSjQEYGu5Gz87DdLabz99ttT0Lz22mtGUxukbLtFF5HsQss+dKGi0W4/0VQRt+gtOL0M\n7vjzzjvPvZvXtrxUeol4yLaz7CZHITfffLNvHfXiMmXKlCiKUbZ5jB8/3r58pVdAdpLT+3X6\nMexDAAIQgEAqgfvvv9/T5rmejZomFzdBgY5biySwPBqt9VNG0+1Yyj6pjKd7icI1eluoyGZ2\nJnGnrXmtmeT777/PFJ0xTnX046HwdCYZEysi8rvvvst49pdffpkxvtIjf/rpJ18ESbaz61tp\nIiAAAQgUQUDrcfwcNUU1sJRP8VGg86HFsQUR2GqrrVJcOrsTSfcG17ZtW18vYJrKIe99hcp6\n662X8dS11167Kl5e9DKJ3OsWKqqjnwKtubTrrrtuoUnndV62OnTu3Dmv9CrtYLlz11y5dNGc\n/i233DI9mH0IQAACEMhAoF27dr7znOVNNm6CAh23FklgebQQT6PHcu/sFikaWizgls0339x0\n6dKlmsIt96xy5y2X1oWKpiz4iaxxuKVjx47W05M7zNmW0nTOOec4u3n/7rnnnmaDDTaoNtKu\nOmoOtBbdRSGHHHKIkSdEL9GCRq1+RvwJnHrqqdUWwOpo9fOBAwf6n0gMBCAAAQhUI3D44Ydb\nr7XphgX0zD3rrLOqHV/qABToUrdABeSvkd9HHnkkxYKGrGpoAaHM2aWLFF2NADsXkS4eLWob\nOXJk+qF57cv8nBYApivy2267rZkwYUK1tKZPn26tf7gjNEI8bdo0d1De23qZkPk6d93lsvTM\nM880p5xySt7pFXPC888/X23EWy8xMvWHZCag/qQ5ey1btqw6sFmzZnauXocOHarC2IAABCAA\ngewEpBc8+uijRl9pHdEgz1VXXWV69uzpBMXmFzN2sWmK/ApSbmbsnNrNmjXLWtWQ3eN0RdY5\nxvnVnGVN25DSWrduXSc4kN+XXnrJfPXVV6ZXr15ZbR5rrrDsV2tUWsplkKL6abWxTIQ5LwxB\npp9rWmqXjz76yMiOsXsqS67nZzouyWbsnHrLbrkk6H7qpB+HX8zYxaEVii+D7OoneY4+ZuyK\n7yNxSMGxTqV7atTPRg3ayaRlNvFerZXtLOIhUCCBfKZg6IGtTiwTdkHLLrvsYvSXi2gEvV+/\nfrkcmvcxUlZ1g9ACRq00LpWoXfJpm1KVM6756oVQN/lMCwvjWnbKBQEIQCBuBLQWSF9mtbDQ\nb81QqcvMFI5StwD5QwACEIAABCAAAQiUFQEU6LJqLgoLAQhAAAIQgAAEIFBqAijQpW4B8vcl\nIGce3377rZ0H7XtQBBGaWqE5wpqThZQvAc1Tlv1uebkKWjQFJ4ypRvp0KTvq2WyYB12fYtNb\nvHixLXcYrIstG+eHQ2Dp0qX2+pLTKwQClUAABboSWrnM6ijFWebtZPNZth/1e9FFF/kaWA+r\nenr4y/KHbFVrAaGsLshShh4USPkQkGdLzWFXP9puu+3sQtCgvFq99957pmvXrqZ58+b2b+ed\ndzbyphmEyFKL7EnLSoxMCh588MFFuZAPokzZ0tBLRJ8+few1o3Kr/Lg1z0atvOMXLlxojj/+\n+KrrS331pptuKu9KUXoI5ECARYQ5QOKQaAmcfPLJ1o20s6hOlipk8k6eiC6//PLICnPBBReY\ncePGVS3u08iKlBotarjnnnsiKwcZFU5AXq0OOOAAa3HFWYiifuTY8T7iiCMKTtyx4qL+6Yi8\nNx500EHWDGAxFlsmTpxoTj/99CpX4Sr7q6++as07vvDCC9ZWqpNnXH714iurNrJa47BesGCB\nGTx4sHU4Iy5IsgionfVi97///a/qy46+9Fx88cV2wEP3cgQCSSXACHRSW7ZM6yUX2k899VSV\n0upUQ8r0XXfdZZVXJyzM3/nz55uxY8d6lkMKzLvvvhtm9qQdEIEnnnjCfPPNN9W+Xkix1kO+\nmCkGo0ePtgquoyw6Rdb+FVdc4ewW9HvhhRdWKc9OAiqzzI89+OCDTlCsfidNmmQ/4ae74tWL\np+qDJI+AbOLL/KUz2OHUUH1g1KhRvl5lneP4hUA5E0CBLufWS2DZP/zwQ2v32atqsieskY4o\nRIq8n+1Jmdb54IMPoigGeRRJQP3JT0nWSHQxZufefvvtaoq5iiuFUVM7ChVNEdK8Zy/RaPf7\n77/vFVXyMLFOV56dQmkazbx585xdfhNCQPdB2cz1Eq0Z0csrAoGkEkCBTmrLlmm91lprLd+H\nsB7OjRo1iqRm8ojktxhG4VGVI5LKJjgTtZPfA14vSA0aNCi49nJI4SfF9A85DpJbdy9RuPpm\nHEV1lpdNL1Eb1KtXzyuKsDImoL6YySFWMddBGWOh6BVCAAW6Qhq6XKop99Zy3ZkuUnbk0KRd\nu3bpUaHsa8GgFp15KV9ScLp06RJKviQaLIF9993X84VMil737t2NvJYVKocddphn/1Daxcyt\nVl/XvG0vJVovkYqLo+y///6erFWPffbZx+gLEpIsAnvttVfVfHd3zXQN7LTTTrF92XOXlW0I\nFEoABbpQcpwXCgFNjxg/frwdrdK2bsT6bdiwoQ33m1YRRmFuvfVW+wBwl0MK1+23316U4hVG\nWUnTm4Beuq677jqr6DrtKEVO1l2KnacsRfbwww+3I3BKW+mqf0qRLEaBVk00Z7ht27ZWiZYC\nqvSVtqzC6MUujiKmV199dQprlV0voyNGjIhjkSlTkQTkSfXmm2+2/dR9fcmr6fXXX19k6pwO\ngXgTqPHXgpc/41JEmcMJykSYpgLIdqrfnLy41LnQcuhhrc9nqqNsriZNtHpfi5I0b1LuvLW6\nXy6voxb1x0cffdR8/vnnRq5FpRwF+Qldo+1xcOUdJlf11Tp16hhd36USWYZ4/PHHbX+SabWe\nPXv6TjfIt4zvvPNOlem6bbbZxuywww75JuF5vOZuP/PMM3bBqvqJRnHlMrxUUr9+fbtYLJs9\ndM171eJNXcPt27c3GqX0+pJTqnr45asy6l6ja76UfdWvfEGFa+qRFqMGKbJMpPuk7KHLjJ2+\n/Oi6L4VokENTs7QQPFtfLUX5gshTfVV1TPK6Ak3/0UtZKVx5O/eCbG2FAp2NUEzjk65AO9j1\nQAvDQYWTfql/UaBL3QLB5C+lRCPExSxKDKYk4aWSqwIdXgnCTdl5aKJAh8s57NRRoMMmHE36\n5aBAM4Ujmr5ALhCAAAQgAAEIQAACCSGAAp2QhqQaEIAABCAAAQhAAALREECBjoYzuUAAAhCA\nAAQgAAEIJIQACnRCGpJq5E5AbpJlJWG//fYzl156qZGTh1KIvHjJFJrMPZ199tnWBXIpynHH\nHXeY7bff3rRu3drsuuuuZvLkyaUoRqh5qk5HHXWUXdw0fPhw6zEv1AwrOPGLLrrIdOjQwVrf\n0AJCnA5VcGeg6hBIMAEWEZZp47KIsLCGO/30081DDz1U5SRFZra0OEruw1u2bFlYogWcJRNq\nMvnleMlTOWSy75FHHrGWCwpIsqBTBgwYYB544IFq5w4ZMsQoLggptRUOKXRjxoxJYa0yyWqA\nTMUFISwi/P8Uu3Xr5uktVC9pe+yxRxCoQ0uDRYShoY00YRYRRoo7tMxYRBgaWhKGQP4Enn/+\n+RTlWSn8+uuv1mTV0KFD80+wwDPkJvyqq66qUuiccsjk0qmnnlpgqvmfpnJ4Kc9K6fLLL0+E\nCagZM2aYG2+8sRrrZcuWGb1MIcERuOuuuzyVZ+Vw4oknBpcRKUEAAhCIAQGmcMSgEShCNAT0\nGd/L7Llcc7/wwgspSlaYJZo6daq1b5meh8o2c+bMyEyhyWGNn6gsmupS7iLWGt1PF438v//+\n+9ZWbHoc+4URuP/++31PXLJkibUR7HsAERCAAATKjAAKdJk1GMUtnIBGm50pE+mpKNwvLv3Y\nYvfl3MdLkXfSVTmjkGz5aJS23EV1zMQ6qY6WStFu2frTihUrSlEs8oQABCAQCgEU6FCwkmgc\nCeyyyy6eo5E1atSwi540BzkK6dSpk5064pVXs2bNjNxPRyG9e/fOmI28Lpa77Lzzzr4vRprz\nrrnLSDAEMs1x1lcAuXdGIAABCCSFAAp0UlqSemQlIKsbW2+9dYoSLe9xUpxHjBiR9fygDujY\nsaO1AOKeWiAlXmXR4sKoZMcdd7Q8vPI78MADA3VZ7pVHFGF6aZJil85aC8aiZB1FXUudx8CB\nA81aa63lWYzzzjvPM5xACEAAAuVKAAW6XFuOcudNQArqhAkTzCmnnGJHeRs2bGi6du1qnn76\n6UgtX6jg119/vTnnnHPMxhtvbJUOmbJ7+OGHjawYRClPPPGEOfTQQ42sUkjq1KljzjzzTHPN\nNddEWYxQ8xo7dqwZPHiw2WCDDYzaXKPSkyZNsib7Qs24AhOfPn266dy5s9ELil4KpVBfe+21\n1oRgBeKgyhCAQIIJYMauTBsXM3Zl2nBpxV5zzTVN3bp17QKrbHNI004tm91Sm7GLAhRm7KKg\nHG4emLELl29UqWPGLirS4eaDGbtw+ZI6BCAAAQhAAAIQgAAEIifAFI7IkZMhBCAAAQhAAAIQ\ngEA5E0CBLufWo+wQgAAEIAABCEAAApETiMZuV+TVIkMIQAACfxOQTetXXnnFzJs3z2yxxRZm\n8803/zuSrUAJLF261Lz88stmwYIFdnHupptuGmj6JAYBCEAgDgRQoOPQCpQBAhAIjcCbb75p\n+vXrZ+QNTwvF5DK9R48e1sV37dq1Q8u3EhN+7bXXTP/+/Y1eWBzW++67r7XE4Vh6qUQu1BkC\nEEgeAaZwJK9NqREEIPB/BObPn2/N9Ol35cqVVrGTZ8Jp06aZ4cOHwylAAnPmzDF9+vQxCxcu\nTGEtM5EXX3xxgDmRFAQgAIHSE0CBLn0bUAIIQCAkArL37OWuWyYD7733XoN76eDAy475H3/8\nUS1Bsb7jjjs826HawQRAAAIQKBMCKNBl0lAUEwIQyJ/ArFmzzO+//+55ohS7uXPnesYRmD8B\nsdYov5foRUUj0wgEIACBpBBAgU5KS1IPCECgGoFWrVrZubjVIv4KqFWrlpEDFCQYAmLtN89Z\nzoL83HwHkzupQAACEIiWAAp0tLzJDQIQiJBAr169TL169YzcuLulZs2a5rjjjjP6RYIh8K9/\n/cu6gpcLb7eI8cknn1ytDdzHsA0BCECg3AikPlXKrfSUFwIQgEAGAhr51Nzc9ddf3ypwGiGV\ngqfFboMHD85wJlH5EpBb+gcffNC0bNnSspbirBcXWeU47bTT8k2O4yEAAQjEmgBm7GLdPBQO\nAhAolkCbNm2sXeIPPvjAyBpH27ZtmbpRLFSf82VfW/a2xVp2oGVzu3Hjxj5HEwwBCECgfAmg\nQJdv21FyCEAgRwIadW7Xrl2OR3NYMQQ06ty+fftikuBcCEAAArEnwBSO2DcRBYQABCAAAQhA\nAAIQiBMBFOg4tQZlgQAEIAABCEAAAhCIPQEU6Ng3EQUMi4CXg42w8iLd5BOgPyW/jaOqoZdD\nmkx5y7smAgEIREsABTpa3uRWYgJvvPGGtRKw7rrrWssM+pWVAAQChRC49dZbTYsWLaw5PNmV\nVn8aOXJkIUlxDgSsd8yNN97YrLfeerYvdezY0XzyySeeZBYtWmQGDRpkWrdubY/ffffdzYsv\nvuh5LIEQgEDwBFCgg2dKijEl8NNPPxnZBU73TPfMM8+YI488MqalplhxJTBx4kTzn//8x6SP\n/l111VXmlltuiWuxKVdMCdx///1m4MCBZtmyZVUllHfHPfbYw/z8889VYdrQ1w7dyx544AGz\ndOlS2wc//vhjc+ihh5rnn38+5Vh2IACBcAiUzAqHPlHpDdotcgObboTfHZ/vttIKMr188w/z\neHe93Nth5lmqtIOq3wEHHOBbhcmTJ5e8rwRVT99KlijCqZfzW6JiBJ7tGWec4ZvmBRdcYB21\n+B5QphFqw6S1o9MUTr1KVcdzzz3XKUrKr174//3vf5vbb7+9KnzSpEnms88+M3JH7xY9V5XO\nyy+/7A6utu3UtVpEAgKcupWqHaNA6K5jFPmVMg+nrlGWIdc8a/w1elKSyVNfffWV2XPPPVOY\nDB06lM/pKUTYCZKAnGikP3Dc6c+ZM8esvfba7iC2IeBLINtNtkS3Vt/yEhFvApn6U7NmzcyP\nP/5YVYETTzzR3HTTTdW+fjgHLFmyxKyxxhrOLr8QgEAeBDSYK30hm5RsBLpOnTqmc+fOKeVb\nZ511zPLly1PCCt2RFyx95krqQ0y2Vh2FMH1KQqHM4nie5pWuWLEikKKtuuqqGRXo2rVrB9b/\nci3waqutZvSnOia5r2ZjnyuvcjouqHtZXOqsfqo+mtT7jRRY3W9Uv0wv2qVoDz0v3f1JyrHa\nw6ucutY0Eu0+3l1mPTekICRVVH89/1XHfBdjlgsT9VW/9i+XOmQrp9pQbenXj7OdX0y87gGx\nVqD1Rp0+T3DhwoXWU1gxFXfOXWuttewUkaSujFfjysOXOtfixYudaifut2nTpoH1CX3x0KdP\nL9ELSfqUIq/jgg6T+2PdCJW318Mw6PxKkZ76qhQAXd9JEi30+u677zyrpPuPvB4mSerXr2/7\naCkeaFFw1MNa9xu9zJair8pj5syZMz2r2rt375T+1K1bN6O59umie4nmTGe6lzVp0iQlrfQ0\nyn1fLxcNGjQwGoVPcl9VHZN2j3H3vUaNGlkFWh5Nox5c0r2gbt267uJ4brOI0BMLgUkkcOON\nN/peFO75hUmsO3UKnsALL7zgOx942rRpwWdIiokmcM8993iOem2yySZ2caG78ltvvbU588wz\nbf/Tw16iF1V9xR0xYoT7ULYhAIGQCKBAhwSWZONJQCM8PXv2tJ/4NOrcvHlzu+BGozYIBPIh\noCk/X3/9tdlqq63sVwSN/m222Wbmiy++MPrChkAgHwIyhzhjxgyj0WZ93ZB5urPOOss872NV\nQxY7Hn74YXPEEUdYixyyCKNjNYqOQAAC4RMo2Rzo8KtGDhDwJjB27FjvCEIhkCcBKc1PPvmk\n0WdxvZDJVCICgUIJaErXtddem/PpO+ywg9EfAgEIRE+AEejomZMjBCAAAQhAAAIQgEAZE0CB\nLuPGo+gQgAAEIAABCEAAAtETQIGOnjk5QgACEIAABCAAAQiUMQEU6DJuPIoOgagJyLzXySef\nbHbccUcjU1rjxo2Lugg2P9l4HTJkiOnUqZPZbbfdzKhRo0pSDtkLPfbYY60DnoYNG5rDDz88\n0TZ2c4Esl9Q9evSwc3PFJt0NtTuNd955x+yyyy5m4403tosxx48f746uuG3163vvvdecdtpp\ndgHhSy+9VHEMqDAEyoVAyTwRegHSw3np0qVeUXmHVYodaNn7TLod6NmzZ+fd/uVyghYNyd6k\nlIy424GWdYkuXbpYB0Vuvtttt5159NFH3UEp20HbgZbt044dO1a7V6y//vrmtddeS8k7zB0p\nOzIxpl+3yKzYBx98YG3RusPLfTsXO9B9+/Y1U6dOTamqFldqoWX79u1Twm+99VYjyxHpsuuu\nu5oJEyakB4e+79iB1jOoFHagdS/v1auX+fzzz22fEjdJv379zMUXXxxY/bXgVV5XkyqOHWjd\nJ5JuB3revHlJbUYjO9BybCQPnKWwA52LNRtGoBPb/agYBIIlcMghh1RTnpXDm2++GelItBQK\nrxftb775xpx99tnBVjpDagcccEA15VmHa1R6n332yXBmMqMef/zxasqzaipvcIcddli1Snsp\nzzroxRdfNJU48iol+bPPPqvqU+KmP43KY1e8WvchAAIlJ4ACXfImoAAQKA8Cfl73VPq77747\nskq8/fbbvnk99thjvnFBR7z33nu+SWq0vtLktttu862yRsrco7p+HkGdBC6//HJns2J+xcTr\nK5RG3yZOnFgxHKgoBMqFAAp0ubQU5YRACQlk+xQa5TSiTJ/zspUzSIQaHUT+JpCtD7g/N2d6\nGVOKmVxR/51jsra8vqqohurv7pePZNWa2kCgfAmgQJdv21FyCERGQF73NJfZTzQnOSrR3Dg/\n2WKLLfyiAg/XOgs/0TzMShMtLPUTzefdcMMNq6IPPvjgqm2vje7du3sFJzpMHi1r1KhRrY66\n7nbaaadq4QRAAAKlJYACXVr+5A6BsiEgt8JeUrNmzUAXOXnl4Q4bOXKke7dqW8rHlVdeWbUf\n9sZ1113nm8WIESN845Iace655xq9aHnJKaeckhK89tprmy233DIlzNlRf4pyLruTb6l/zzvv\nPKOFjG6Rp0st+pO7bgQCEIgXARToeLUHpYFAbAkcf/zxRg9590i0LF88//zzRtZEopK99trL\nXH/99dZ6iZOnFDJZAtloo42coNB/u3btakaPHm2k5DgiBUiLwf71r385QRXzq37xyiuvWJN0\nTqWlDA8cONAMHTrUCar6nTx5stl5552r9rWhle8ybVeJss0225iHH37YtGvXzo5Ei93ee+9t\nLZjIUg8CAQjEiwBm7OLVHjmXRg+rxo0b27mC2eYe5pxoDA/UAxUzdvFrGJlucyvSmUqo4+rU\nqRPKPM7ffvvNaHqAY/IrUznCjNO0Es1VlemspEouZuzcdc+njyxbtsz2Eff5UW+X2oydu76y\n5JI+Gu2OL2YbM3bF0IvHueobDRo0MO51BfEoWXClKAczdn8PnQRXb1KCAAQSTiBX5TlsDO7R\n37DzypS+HmilVuIzla8Ucfn0Eb1gIX8TCEt5/jsHtiAAgWIJMIWjWIKcDwEIQAACEIAABCBQ\nUQRQoCuquaksBCAAAQhAAAIQgECxBJjCUSxBzocABEpCQHZzZ8yYYedia+GVFl2VQjTX99VX\nX7VzoNdbb71A5/JqTvVHH31kF2nKaoWXmbNC6/ztt9+ar7/+2rRs2dJssMEGhSbDeSUkIFvk\ncsCidSI9evRIMRVYbLE0L13Xl6aTyA17tik5cs3+6aefmv3228/ssssuxWbP+RCIPQEU6Ng3\nEQWEAATSCdx1111GrqC12EqL92QFRGblZBkjSnnqqafM6aefbqRsSKRkXHbZZaZ3795FF0Om\n8GRtRHOrVc8WLVoYKSl+5t9yzfCXX34xJ510knUPrZcOeb/bddddzZgxY0wm29a5ps9x0RCQ\nd8JTTz3V9g3leP7555vtttvOWqMptgQPPfSQGTJkiFmxYoVNSnbNr776amsVJD1tKfDqT46D\nozvvvNNowekbb7xhF7qlH88+BJJCgCkcSWlJ6gGBCiEg82cyi6aHu6xwSLnUSG2/fv3sCFhU\nGOTK+9hjj7WWcFQO/WlUfMCAAebll18uqhg33XSTueGGG2zdpOBqpFHe+6SYF7vy/rjjjjMv\nvviiLZ/jOvq1114z/fv3L6rMnBwdAbmKl9Kqvu+WN9980xx55JHuoLy31XfVh9WXlb7+5BlS\nfT3dfb364oknnlilPDuZ6fhOnTo5u/xCIJEEUKAT2axUCgLJJXDVVVdZhTK9hhoBu/nmm9OD\nQ9vX6LCXSNm95pprvKJyDtP5Usjdovppusj999/vDs5re+bMmVZ5dhRn52TtS/l6//33nSB+\nY0xAo81+MmXKFL+onMLV9/zc1Kf3+dNOO803Tb3UfvPNN77xRECg3AmgQJd7C1J+CFQYgS+/\n/NKzxhop+/jjjz3jwgjUfE8/ReOzzz4rOMslS5aYBQsWeJ6vUXeNPhYqOrdWrVqep2v6iR9b\nzxMILBmBTO2kF61ibOf79V31dfV5t3z++efu3Wrbzz33XLUwAiCQFAIo0ElpSeoBgQoh0Lx5\nc8+aaq5wlIvhtPjOTzRfuVDRfFP9eYmU3GLSXnfdde0otlfaGoVWPBJ/An7XgFNyeeYsVDL1\nr/Q+n62/dOzYsdBicB4EYk8ABTr2TUQBIQABN4ETTjjB00ubRt6OOuoo96GhbmtOqJfzFFkt\nUBkLFVnaUD38rIoU4yZc1ko233zzFPfjKqfKvPHGG5ttt9220GJzXoQEBg8e7JubXIJ79Uvf\nE9Ii/K4vpak+75bLL7/cvZuyXbt2bdvXUgLZgUCCCKBAJ6gxqQoEKoHAwQcfbBcuSdHUQ1p/\nUjZHjRoVqQLYuXNnc8EFF1jlU5709CclY9CgQWafffYpqin+/e9/m549e1qzdUpXI8/16tUz\nt99+e1Ej0CrU+PHjrbIsL45KW7+tWrUysmwSpJm8ogBwckYCetHRQtp00ehxMXPklZ76rvqw\n+rJzfekFS31dfd4teulSX00XHV/sXOz0NNmHQNwI1Phr1ObPuBRq4cKFduVvEOWROSatBE5f\niBNE2nFIQw/Uxo0b2zouXrw4DkUKpQxNmzYtaj5fKIUKMFGZX6tbt675+eefrTmxAJOOTVLq\nq1LUdH0HKbJj/Prrr1vlWXZndT2UQjTfVIvvdCvV6G62z9r5lPGTTz4x7777rjXTJ1NzUqKD\nEM1nleUNxw70Tjvt5Dmq785Lpsk0zWP58uXu4MRsS+nT/UbWJ4Luq2FB+vHHH61pQ1nD6N69\nu9lrr72yZtWkSRMzZ86crMd9//331r65FOmdd97ZsvE7SdeAFjbKUoz6qRTwUommPzVo0MBa\n5klyX1Udi7XIU6o2yiXfRo0a2fUa6uNRq6nOvSBbOVGgsxGKaTwKdEwbJs9ioUDnCSymh0sp\nkaLx008/xbSExRcLBbp4hnFIIVcFOg5lLaQMKNCFUIvfOeWgQDOFI379hhJBAAIQgAAEIAAB\nCMSYAAp0jBuHokEAAhCAAAQgAAEIxI8ACnT82oQSQQACEIAABCAAAQjEmAAKdIwbh6JBIAoC\nMoum1fta/LbeeuuZTN7FtLK+Q4cO9njZhJVr6V9++SWKYkaWhxZDqW7iob8ePXpUc5nsFOad\nd94xbdu2tQsZtfBkk002MS+99JITXdTvE088Ydq3b29Zr7/++kbWR+K+YFiLtvr06WNUXvWp\nLbfc0jzyyCO+HLp27VrFWaxl1aEUojKqHTWPXYuzVIegFqA99thjZs899zRbbLGF2Xvvvc1T\nTz0VSBW1gEyLP51+KhvocgEftWhB6vHHH29tsKvNN9tsM2vpJepyKL+HH37YLmLUgmItqkya\nJRCxvuWWW6ybdLHWPeHtt98uBWry/IsAiwjLtBuwiLBMGy6t2KVeRCibsVrlnC5ygDBp0qSU\n4IkTJ5qTTjopJUw7sgzxwQcfWFNr1SL/CgjLCodXXsWGnXjiidXqrTRlKUVusN3y0UcfmT32\n2MMdVLX94IMP2odcVUCeGzJFdvrpp1c7S8rdhx9+aBW9apEhB+SyiFB2pufOnVutJJdeeqnp\n169fSrheDmR9xktkASIqkVm/s846q1p2UsKKdW0u19cjRoxIeQGTkj58+HBzzDHHVMsz1wB5\n3ZTpQf2my4ABA8yQIUPSg6v2g15E2KlTJ/PVV19Vpe9snHHGGZ4m7pz4oH9lxvLqq69OYSLW\n4n/44YcHnV1J0tP96cknn6yy2KT6yfTknXfeabp06VKSMoWVKYsIwyJLuhCAQNEENDLmpTwr\n4enTp5sffvghJQ8ve686QKOiUgjKXaSMpL80OHWSe209oN1yxBFHuHdTto8++uiU/Xx3vGz8\nKg2ZV7vkkkvyTS6S46+66ipP5VmZDxs2LKUMGj31U5514JFHHplyfJg76WVz8tKLgOpUqKh+\n6cqz0tIoomwq+7lrzyU/OTTxUp517ujRo3NJIpBjHnjgAU/lWYlLmVVdoxC9cKmt0pko///8\n5z9G12+5i0x26p4tU5KOqH6qcynNBjplqcRfpnBUYqtTZwj8RUBOOTLJmDFjqqJXrlyZ8SH0\n3//+t+rYct3Q599MohF4t/i9fOiYYuwI69xM0wemTZvmLkZstidPnuxbFj30Z82aVRU/cODA\nqm2vjaj6k8rkVkjSy5KpTunHpu+/8cYb1Tw+Osdo5LCYT++y4e0nspkru8xRiN8Lp/JWOV5+\n+eUoimHtwetLl5dIwZQt9XIXsZTTIy/RC0SUX228ylCJYSjQldjq1BkCfxHwcxXtwJHzE0f8\nbty5xjvHxflX9mMzSTYGmc7NJy5bu0RVjnzKrGOzlatWrVpVSWZzCBOVR0R3maoK59rIVifX\nodU21Y5+DiAUXkzamm+fSYpJO1O66XHZ+qo8GUYhYbKOovy55KE2zXRdZGuLXPLgmPwIoEDn\nx4ujIZAYAl5zbN2V03w7RzRilsnT3/777+8cWra/2dxv9+/fP6VurVu3Ttl376yzzjru3by2\nHUcQfif985//9IsqafiBBx7om7/mkK+99tpV8enTYaoi/m9Di/iiEJVJZfOTTHXyO8cJ32GH\nHXznqmu0dLvttnMOzftXbt79RMq15o9GIZmmMUnh01qKKETzsP1eVtS+W221VRTFCDUPrbfQ\nl8B0kVK96aabGs1tR6IlgAIdLW9yg0BsCOy4445m66239iyPrGtowZpbxo4d6zkCIssd2T7J\nu9OJ87afBRJZlejbt29K0R966CFPHjoo23SQlIQ8dm6++WaPUGM23HBDc8IJJ3jGlTpQfPQg\n95IbbrghJVgKpKxSeIkUrwsvvNArKpSw9LI5mciaRHqbO3G5/GqB8BVXXGGVaL2ASqTcalvz\ng7N98ciUx2WXXebr1v3KK6/MdGqgcbvvvrvvYlmVMSrRC4Pmm0uZdLMWb80Jz/alIapyFpPP\n5ptvbk455ZSq+iktXSsa5b/mmmuKSZpzCySw6vC/pMBzAz9txYoVGeej5ZOhPj/rbS2qRQz5\nlC2IY3Vj0A1YdfR6Kw0ijzikodGDJCwA8WOpG7uUiaVLl5akr2qkT2boZFFCcwXF+9xzz7V/\n6WWWoqyR5vfee8+eo8/wGqG77777fBVJpaG+qs+Lur7jLrvssovZaKON7NxNXVdqm169enkq\nxLr+ZFniueeeM/Pnz7cMdO4zzzxjzbgVU1eZJJPJM83dXLRokZEFjEMPPdTcfffdxSRb1Lnq\nq7qf/vbbb77pHPnX4j8tKv3qL6sMzsjYHXfc4alkSTn95ptvbN9zEpQZu2ItXzhp5fqrPGXy\nTKx1r9GLo0ZWx40bl2sSvsfJNJ5M9Sld9SWNlErB3XXXXX3PyTXi1FNPNW+99VbV3HJ9IdK6\nBvWbTKJrXPeboOSggw6ySt1nn31m+4de8vQCmGmUPKi83enIZGLnzp3tfUbXphiLtUz9JUVU\nJ9VT7dewYUNrYlOWXtq0aZOUKlbVQzqcXhBKYbpTL2G6TrIJZuyyEYppvG7GumHq4VqKDhYV\nlqZNm0a2ICaqOrnzKbUZO3dZwtpWX9XNsJiFdWGVLah09flUN92ffvopqCRjl04uZuxiV+g8\nCqQXPd1vpJwkva/OmTMnDzLldaiUZ70E6aU202Lc8qpVamnVV1VHWbNJqmDGLqktS70gAAEI\nQAACEIAABCqWAHOgK7bpqTgEIAABCEAAAhCAQCEEUKALocY5EIAABCAAAQhAAAIVS8DbKnfF\n4qDiEIAABCBQDAF5sZRlC83P3H777a1baS0G8hKt37j44ovtQkKZ/jvzzDN9LXl4nV8OYfLo\nKVfmWlipRaZnn322nWsdRNm1CFOunTVnWxZ1ZOrMsUIRRPqkAQEI+BPwvqv5H08MBCAAAQhA\nwJPAWWedZcaPH18VJ2X61ltvNfIs2LJly6pwbciChCycuN0vy1Wx0pCFiSTII488Yk2POTaK\n33zzTSP317JSkc3ueLb6y/qNXDhrka7DUKYB77//fl8Td9nSJB4CEMidAFM4cmfFkRCAAAQg\n4EPgpZdeSlGencNkCcHL+cshhxxSpfg5x+pXo7Vff/21O6gst2XNQy8CjvLsVEL7suVdjPnR\nmTNnWtvrMisovnJHrr8PP/zQDBs2zMmKXwhAIEQCKNAhwiVpCEAAApVC4Nprr/Wt6qxZs1LM\nbb7zzjsZ7btfd911vmmVS8Sdd97pa9tdI8YaKS5U5KjHa1qMlGjFJdX/QaG8OA8CYRBAgQ6D\nKmlCAAIQqDACsrubSWbPnl0VnW2EOQl2ijX3OZPopaJQmTt3rq/TMY1sJ9X+caG8OA8CYRBA\ngQ6DKmlCAAIQqDAC7dq1862xvBJqAZ0j8viYSbT4sNxlt912y1gFucEuVOSNTnOfvUSLMeVM\nBIEABMIlgAIdLl9ShwAEIFARBM477zzrtt2rsnL37Ja1117b7LDDDv+vvTuBkaJowzj+cgoC\n4VBAuVxAFCTciBxKAAGj3OESIYgaQoIQBW8gEYyAQj4vohAQE4VEEVCiERRBUCFyCXIEkUOQ\nGwXk9OD8fDqZyezuXDv07tb2/CvZMNNdXV31q2b2nd7qqshN4ddaQldjhAt60hLeN998c9Rm\naKn2O++8M+q+ZDb26dPHW4lWK9JFJr0fN25c5CZeI4BALgkQQOcSLMUigAAC6SSgZemXLFli\n5cqVy9Ts3r172+uvv55pm94sXLjQ2rZtm2l7lSpVbOXKlYGZim3FihXZpuXT3ePly5dnandO\n3+gOs2YsifwSIvf//e9/UR/YzGn55EcAgcQCTGOX2IgcCCCAAAJJCCg43L59u2l8r8YAN27c\nOOrDbipK8xVrKjbNVqHZI2rWrGm6Mx2kpC8VCqI1T/OOHTusXr16pm1+JH3ZWLBggVf22bNn\nTe+ZA9oPWcpAIDkBAujknMiFAAIIIJCkQNWqVU0/ySTdTb2W4QzJnCO/85QtWzbT3WI/66Oy\n9UNCAIG8FWAIR956czYEEEAAAQQQQACBAi5AAF3AO5DqI4AAAggggAACCOStAAF03npzNgQQ\nCKDAgQMHArF6nl9do3mK9+7da5cuXUpY5L///mu//vqrnTlzJmHegppBc2BrLPTx48cTNkGL\noGie7Mh5s+MdFLIOLecdL29u7jt16pTXj9eywmKs+m3evNnWrFnDAjGxgNieLwIE0PnCzkkR\nQCAIAuvXr7dWrVp5cxxrnuPmzZvbd999F4SmpdSGw4cPe7NAaE7oNm3aeA/Nvffee1HLUqA4\ndepUb5YKzQutB+weffRRUyAWlKTFZdQ2PUw5cOBAa9iwobVr1y7ml4XPPvvMy6NrSsd06tTJ\ndu7cGZVDX9q6d+9ukdZz586Nmjc3NyqAHzx4sN1xxx1eW2+//XZ74403si1hnkodNFOLpvy7\n//77veuqRo0a3jWTSlkcg4DfAgTQfotSHgIIpIXA7t27rW/fvpnuPCuAVKC0ZcuWtDCIbKRW\nv+vRo4dt2LAhvPn8+fM2fvx4ixbYvfrqq6Ylu0N3LK9evepN7zZgwABfgq9wJfLxhRZL0d31\nyKSAuGPHjpGbvNea2m748OF28uTJ8L6ff/7ZC5Kz3rnWzCUKnrUkeiidO3fOXnjhBZs/f35o\nU67/qy9BmuNbUw+Gkv6ioGkLFURfS9KX05EjR2ZacVHnU9mxvpRdy/k4FoGcChBA51SM/Agg\ngMB/AtOmTbNofzZXIKj5eNMtffrpp6YluLMO29D7yZMnZwqKFVhPnz49U3Akr4sXL3pT2gXh\nLv6yZcvs2LFjUS+DgwcPekMSIndOnDgx2xAFBYz6YvL+++9HZrWPP/7YdHc76/Wn9yonr5La\nqC+SWftc/fjmm29e05Li+jIQK+nLFwmB/BZwaho7raJ0ww03+GJStGhRb0J//TILYtLSuEol\nS5a06667LohN9NqkeU39uiZcRAqtJKZpqIJ8rQaxH7dt25YtgNE1pqBHcyEH7brVtarPGq0U\nGC3FG/OsYE8pZKLhB1mDv1CZxYoV8+7qh/KGtufVv2qjH+eOvBMfre5r1661Ll26hHft2bMn\n/Dryhe7QZ72edFc7dOc+Mq9ea+y02lC6dOmsu7z3fv6e1VjtWHNPq34a157sdIZZK7t///6s\nm8Lvdbc9Vh+F6lOmTJmY12q4oAL8QjFOLIMC3Kxw1dU+pQoVKoS35dWLrF8IY53XqQBaH6ih\nD9pYFU52uwIS3eVIFiLZcl3JV7x4cStfvrz3DV/tDGrSwgp+XRMuGulDXvPg6hdNkK/VEiVK\nxBz36WK/JFOnihUrmv7EHi3pQz9o160CMt1Z1J/ooyVdywp+o+3XL8PIz3d9fsX6wqgvIDpX\nXvspsNTnTSjwi9bGnGzT9REvVapUKVMb9Tsr61ANHR+qV6SHFmORYbQgWsGz+kB9FS0p6Ios\nK1qeZLepn0I3c6Ido+sh1XOpbAXK0ZJMYpWrz1Ndizo22rUYrbyCtk3t1zUQy6CgtSdafbWy\npq5lPRMR67Mi2nF+bNOXMF1HiZJTAbQqqw9Pv5LK8rM8v+rlRzmhdunCCr32o1wXywhy+0If\nDEHuR/VfENs3aNAgW716dbY7qQoW9VBV0K5b9WG8ftT45ylTpmT7CFEQpfG6cgmZVK5c2Vq0\naGEbN27M9sVR+e69995w3mwF5tKGUCAYr405ObXGwr/44otR26EASOPnQx4qV9fT22+/nS3w\nVR6NM47M27Nnz6hjjGXdp08fr5qR+bPWO96+rHnjve/cubONGzcuWxb1YevWrb2bPKme6+GH\nH7ZYQzXiXR+h8/nVj9ka58AGXatBbl8ksfpTbc3LFPosSHROxkAnEmI/AgggEEWga9euNnTo\nUO8OnO6w60d3Lvr37+89SBjlkEBv0gwJCgAVPMlCd0j1un79+jZp0qRsbZ8xY4ZVr17dy6e8\nutukIWka7xuElfVkoDZm/WWs93oITjaRadSoUda2bVvvjrMsdLzyTpgwwZo1axaZ1W699VZv\njLEC8Uhrzdyh/HmVdDd79uzZXh1C9VAQr2XZ9YzAtaQnnnjCC8KzlqEhIbNmzcq6mfcI5LlA\nof8i+7wN7eM08fTp06ani/1IGt5w9uzZbHc3/CjbhTL0C0cfXmpjrD9zuVDPa62D/syZ7Hyo\n13qu/Dhef4bTmFL96TbWn1zzo15+nlPXqgIj/f8OYtL41HXr1nl3SZo2bWqNGjUKYjO9P4vr\nGtVDbfHSkSNH7Msvv/T+9Kpp2zQTRdYgMnS8yvvqq6+8qdr0f/2BBx7IlzGPqo+CUdVBv4P8\nvFb1+aXp+jRuWYHvs88+G3fs6g8//OBdT/o/o2nsFIzGSocOHfKsNQRMwXO7du1iWofK0NAS\nPezpZ9JUdosXL/bKrVu3runOdNYvCKme7+uvv7Y5c+Z4w1X0pVV36uMl/eldX8A0vCHRtRqv\nHJf36VpVGyNnbHG5vqnUTcPg9EXy6NGjeX4HOvRZkKjeBNCJhBzdTwDtaMfksFoE0DkEczS7\nghLdfY4164Kj1c5RtTSuNJkAOkeFOpQ59EvT7wDaoSZ6VcmNANqlNhJAu9QbqdelIATQDOFI\nvX85EgEEEEAAAQQQQCANBQig07DTaTICCCCAAAIIIIBA6gIE0KnbcSQCCCCAAAIIIIBAGgpk\nfgw4DQFoMgIIIIAAAi4I6GE8rdColRj1cHGvXr28GV00Ppvkr4AepHznnXds1apV3gOyvXv3\nNi0jH1qIxd+zUVoQBQigg9irtAkBBBBAoEAJaPaS++67z5sBJDQjj+bJ1owmc+fOJbDzsTe1\nlLqsNYNVyForR2ppck0xGGvWGB+rQFEBEGAIRwA6kSYggAACCBRsgfHjx3tT/4UCOrVGr3WH\ndNGiRQW7cY7VfuzYsd7KqJHWWgl2+fLltmTJEsdqS3VcFSCAdrVnqBcCCCCAQNoIKHhTEJc1\naZvmyib5J7By5cpsK4iqdC03v3TpUv9OREmBFiCADnT30jgEEEAAgYIgEFqCOlpdFdiR/BOI\nZa115bD2zznoJRFAB72HaR8CCCCAgPMCbdq08VZDzFpRLY3dvn37rJt5fw0CrVq1ijqmXNZa\nzZGEQDICBNDJKJEHAQQQQACBXBSYMGGCt+R95BLYCujq169v/fr1y8Uzp1/REydO9JaJjpzd\nRNZNmjSxnj17ph8ILU5JgAA6JTYOQgABBBBAwD+BWrVqeQ+x9ejRw2666SarWbOmjRw50hYu\nXGgK7kj+CdSpU8ez7tatm1WuXNlq165to0aNsnnz5kX9K4B/Z6akIAkwjV2QepO2IIAAAggU\nWIHq1avbtGnTCmz9C1LFMzIyvHmgC1KdqatbAtyBdqs/qA0CCCCAAAIIIICA4wIE0I53ENVD\nAAEEEEAAAQQQcEuAANqt/qA2CCCAAAIIIIAAAo4LEEA73kFUDwEEEEAAAQQQQMAtAQJot/qD\n2iCAAAIIIIAAAgg4LkAA7XgHUT0EEEAAAQQQQAABtwQIoN3qD2qDAAIIIIAAAggg4LgAAbTj\nHUT1EEAAAQQQQAABBNwSIIB2qz+oDQIIIIAAAggggIDjAgTQjncQ1UMAAQQQQAABBBBwS4AA\n2q3+oDYIIIAAAggggAACjgsQQDveQVQPAQQQQAABBBBAwC0BAmi3+oPaIIAAAggggAACCDgu\nQADteAdRPQQQQAABBBBAAAG3BAig3eoPaoMAAggggAACCCDguAABtOMdRPUQQACBoAvs2LEj\n6E2kfQggEDCBogFrD81BAAEEECggAg0aNLATJ06Ea1u4cGFbtWqVZWRkhLfxAgEEEHBRgDvQ\nLvYKdUIAAQQCLlCnTp1MwbOae+XKFWvdunXAW07zEEAgCAIE0EHoRdqAAAIIFCCBffv22fnz\n52PWuF+/fjH3sQMBBBBwQYAA2oVeoA4IIIBAGglMnTo1bms3bdoUdz87EUAAgfwWIIDO7x7g\n/AgggECaCdSuXTtui0uUKBF3PzsRQACB/BYggM7vHuD8CCCAQJoJjB49Om6Lx4wZE3c/OxFA\nAIH8FiCAzu8e4PwIIIBAGgoMGTIkaqtr1KhhAwYMiLqPjQgggIArAgTQrvQE9UAAAQTSSGDS\npEk2d+5cK1WqlBUqVMiKFStmw4YNszVr1qSRAk1FAIGCKsA80AW156g3AgggUMAFOnToYLt2\n7SrgraD6CCCQjgLcgU7HXqfNCCCAAAIIIIAAAikLEECnTMeBCCCAAAIIIIAAAukoQACdjr1O\nmxFAAAEEEEAAAQRSFiCATpmOAxFAAAEEEEAAAQTSUYAAOh17nTYjgAACCCCAAAIIpCxAAJ0y\nHQcigAACCCCAAAIIpKMAAXQ69jptRgABBBBAAAEEEEhZgAA6ZToORAABBBBAAAEEEEhHAQLo\ndOx12owAAggggAACCCCQsgABdMp0HIgAAggggAACCCCQjgIE0OnY67QZAQQQQAABBBBAIGUB\nAuiU6TgQAQQQQAABBBBAIB0FCKDTsddpMwIIIIAAAggggEDKAgTQKdNxIAIIIIAAAggggEA6\nChS6+l9ypeF///23XbhwwZfqFClSxC5fvuxLWS4WcuzYMVu9erXVq1fP+3Gxjn7UqWjRonbp\n0iU/inKyjC1bttju3butffv2Vr58eSfreK2VKlSokBUuXDjQ/x+XLl3qfXZ17dr1WrmcPV59\nqF8XDv3K8NXq3Llzpn685ZZbrFmzZr6W7VJhQf9M3bNnj23evNlatGhh1apVc4ne17oEPcZR\nfKM4p3v37qZrNi+TPuvKlCmT8JR5W6sE1SlZsqTph5RYQIHXK6+8YiNGjLCWLVsmPoAcTgp8\n++23NmfOHO8XdkZGhpN1pFKJBWbOnGlnz561gQMHJs5MDicF/vzzT+8ztUePHtahQwcn60il\nEgts3brV68fXXnvN6tevn/gAcjgpsGDBAu8mYd++fa106dJO1pEhHE52C5VCAAEEEEAAAQQQ\ncFWAANrVnqFeCCCAAAIIIIAAAk4KEEA72S1UCgEEEEAAAQQQQMBVAaceInQVycV66YFLDbAv\nV66c9+NiHalTYoGTJ0/amTNnrEqVKla8ePHEB5DDSYFDhw7ZlStXrHr16k7Wj0olFrh48aKp\nHzXe8sYbb0x8ADmcFNDnqT5XK1asaKVKlXKyjlQqsYDiG8U5eqhXD6K7mAigXewV6oQAAggg\ngAACCCDgrABDOJztGiqGAAIIIIAAAgggUaXjDwAABcNJREFU4KIAAbSLvUKdEEAAAQQQQAAB\nBJwVIIB2tmuoGAIIIGDesw4amxtKR48etcOHD4fe+vrvX3/9Zb/99pv9888/vpZLYQgggEDQ\nBAigg9ajtAcBBAIlMGjQILv77rvDberZs6d17tw5/N7PF0uWLDEt6LNy5Uo/i6UsBBBAIHAC\nTq1EGDhdGoQAAgj4LKAlirlD7DMqxSGAAAI5FCCAziEY2RFAAIH8FHjrrbfy8/ScGwEEEEDg\nPwECaC4DBBBAwBGB33//3T7//HP75ptvrGbNmjZkyJBsNZs1a5ZduHDBHn/88fC+AwcO2Lvv\nvmvbt2+3smXLWoMGDeyxxx7z5jRWpl27dtncuXNt+PDhXtlLly618uXLW5cuXaxdu3ZWpEiR\ncFm8QAABBBBILMAY6MRG5EAAAQRyXeD48eOm4RmjRo2y8+fP2/Lly+2uu+6y3bt3Zzr37Nmz\nbfr06eFt2t+kSRPTnWk9BLhz5057+umnrXHjxnbixAkvnwLol156yR555BEbOXKkt23btm3W\nsWNHe+aZZ8Jl8QIBBBBAIDkB7kAn50QuBBBAIFcFHnroITt16pRt2LDBbrvtNu9cU6ZMseee\ne857sC/WyWfOnGlnz561PXv2WLVq1bxs8+fPt379+tmHH35oI0aMCB+qstevX+/d3dbGyZMn\n25gxY+yee+6xXr16hfPxAgEEEEAgvgB3oOP7sBcBBBDIdQEtP7xs2TIbOnRoOHjWSZ966imr\nUaNG3PMXLlzYG9KxatUqu3z5spe3b9++duTIkUzBs3Y8+eST4eBZ71W+lq1euHCh3pIQQAAB\nBJIUIIBOEopsCCCAQG4JbNmyxa5evWoNGzbMdAqNTW7UqFGmbVnfaKxz1apVbcCAAVapUiV7\n8MEHbc6cOXb99ddnzeoNCYncWLx4catbt65t2rQpcjOvEUAAAQQSCBBAJwBiNwIIIJDbAqGx\nyqVLl852qgoVKmTbFrmhTp069uOPP9rLL79seq3hG4MHD/Zer169OjKrlStXLtN7vVGgffr0\n6Wzb2YAAAgggEFuAADq2DXsQQACBPBHQA39K+/fvz3a+ZFYd1IwaY8eOtTVr1tgff/xhM2bM\nMD2U+Pzzz2cq7+DBg5ne641WHmzatGm27WxAAAEEEIgtQAAd24Y9CCCAQJ4I3HLLLVa5cmX7\n4IMPMp1PwfP333+faVvWN/3797fq1at7M3don+5YDxs2zBuaoWW/I9NHH30U+dbWrVtnv/zy\nizf7R6YdvEEAAQQQiCtAAB2Xh50IIIBA3ghofueffvrJG8usIRkrVqywrl27hh8MjFULPQio\n+aO15PcXX3xha9eu9Wbu0JzQepgwMs2bN8/bt3XrVlu0aJH17t3bu/s8evToyGy8RgABBBBI\nIEAAnQCI3QgggEBeCHTr1s0URG/cuNGaN29unTp1smbNmpnuMMdLmjta4581i4cC7pYtW3pD\nODQ9nbZHJm1bsGCB97CiHjrUgitauCXaA4eRx/EaAQQQQCCzQKH/nvy+mnkT7xBAAAEE8lNg\n37593vRy0R4qjFUvrU6oFQmVatWqZYUKFQpnXbx4sbfq4CeffOLN97x3715vxo5SpUqF8/AC\nAQQQQCB5ARZSSd6KnAgggECeCGRkZOT4PJqSrnbt2kkdp2XCSQgggAACqQswhCN1O45EAAEE\nEEAAAQQQSEMBAug07HSajAAC6SWghVYGDhzozdaRXi2ntQgggEDuCDAGOndcKRUBBBBAAAEE\nEEAgoALcgQ5ox9IsBBBAAAEEEEAAgdwRIIDOHVdKRQABBBBAAAEEEAioAAF0QDuWZiGAAAII\nIIAAAgjkjgABdO64UioCCCCAAAIIIIBAQAUIoAPasTQLAQQQQAABBBBAIHcECKBzx5VSEUAA\nAQQQQAABBAIqQAAd0I6lWQgggAACCCCAAAK5I0AAnTuulIoAAggggAACCCAQUIH/A8zg7Xa5\nWZO2AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point() +\n",
    "  scale_x_continuous(labels = NULL) +\n",
    "  scale_y_continuous(labels = NULL)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QgggAACCCCAgA2Bv3/YIK9/Vm8jp/0sM09oJwO7OHsugP3a05OTADo97tSKAAII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\nOtGnwOgo9HXXXWcmfztrGrkRQAABBBBAAAEEEhIw857DUzh0God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wR0FQ5dhrHpg1SaXq/6B9+NN95obnjVVTymTp0qM2fO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\nRiOAAAIIIIAAAgikS+D/A5K2XX0WgerPAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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x6MnZ4Q4L3DE6cpa42sra017x/vvPOOVFVVSbdu3RK2\nZfny5fL666+b/Ho9Tl5eXsIyZPCGAHOgvXGeaGWSAv/617/kkUcekd///vcmgN68ebNMmDBB\n2rRpE/cIej+hK6+8Uj799FPRN8dkg+64B2WnawQWLlwoZ599tmy77bbmQ++jjz6S66+/Xvbb\nb78G22g1f4MHYaOnBHjv8NTpcryxGjxfcMEFsnTpUjnwwANF30MGDBggl19+eaNt0Rt4TZs2\nzeSfP3++uQj17rvvlq5duzZahh0eEtA7EZIQyAWB77//PhB8QwsERxhNd4I3xQgEg6bA/fff\nn7B7zz33XOCoo44KBN8YA8GgO2F+MnhL4Nxzzw3ccccdgbq6OtPwxx9/PHDCCSeEn8f2xmr+\n2PI895YA7x3eOl/ZaO1TTz0VOOmkkwLBG3KZ6hctWhQI3nUwMG/evAabs2DBAvN5MmPGDLNf\n33tOPPHEwLhx4xrMz0bvCfB3ag992aGp8QV09Fi/2e++++4mY2FhoQSDYnn77bfjFtTRxiee\neEL+9Kc/xc3HTm8K6J3B5s6dK8OGDQv/+XTw4MHmLxTl5eX1OmU1f70DsMFzArx3eO6UOd7g\nDz/8UA4//HApKSkxdffs2VN23nnnRj9fQnc17dixo8mvUze6d+8umzZtcrztVJgZAQLozLhy\n1CwI6J/WYuekaUCtc5uD3/4bbJG+yY0ePVrOO++8emUbLMBGzwnoLZg1Rf7ZtF27dmaazs8/\n/1yvP1bz1zsAGzwnwHuH506Z4w3W10jke4g2QJ839B6i+3r16iW77bab3HrrrWa6hw7SzJ49\nW4YMGaK7STkgQACdAyeRLmwR0MCnZcuWURx6sZgGzxUVFVHbQ08efvhh0RGCoUOHhjbxO8cE\n9INPb3KgP5FJXxtr1qyJ3GQeW81f7wBs8JwA7x2eO2WONrimpsYMxMR+vujz1atXN9gWvRD9\n/PPPl+AUD9G1GvTanEMPPdQE1Q0WYKPnBLgToedOGQ1WgVdffVWCc9HCGMOHD5eioiLRN7rI\nFHrevHnzyM3m8RdffGFW69CRAVLuCjT0utDe6kVBDb0urObPXTn/9Kyhc857h3/Of6KeFhQU\nmJWZQq+JUH59HprSEdoW+v3ZZ5+ZCwyvvvpqM/UjOM9e9KJC/YvnmDFjQtn47WEBAmgPnzw/\nN33q1KlRfzrTuc7t27eX4IUdUSxr1641K3DEjj5qpgcffNAEUMGLOkyZ0Cj1NddcY/7MFrxA\nJOpYPPGmgL4uNFjW2zBHBsz62ujSpUu9TlnNX+8AbPCcAO8dnjtljjZY5y+3bdtWdGnLyKTv\nIbo0XUNJl8zs27evDBw40Ozefvvt5ZRTTpEbbrih3ntRQ+XZ5n4BAmj3nyNa2IDAnXfeWW/r\nNttsI2+++aYZhdYLCDXNmTOn0bnNgwYNivoTvq4brfl32mkn82ZZrwI2eFJAL9zR14Oe2733\n3tv0QS8q1Kk9sXMadafV/J5EodFRArx3RHHwpAEBXQJT30P0cyOU9CLk4447LvQ06ndlZWW9\n0WkdydZRa11eNfLLfFRBnnhGgDnQnjlVNDSRwGGHHWayTJo0yQRH3333nVnA/rTTTgsX1X36\nJqhJ5z2PGDEi/HPEEUeY7X/84x/NyIF5wv88L6A3TNFz+9hjj5lpP/rBpvMR9a8WHTp0MP3T\ntVr15juakslvMvK/nBHgvSNnTmXGOqKBsv7lU4Pm4IJrMnnyZHNzlNAIs1Yc+flyyCGHiE7j\n0DL6Zf3bb781+/fYY4+E9yXIWCc4cFoFCKDTysnBsimg0zTGjh0rL774ogmOLrvsMvnDH/4g\n/fr1CzfrgQcekC+//DL8nAf+ENAbIOjNcfQKeJ0vryPSF110Ubjz+iGnH4ihlCh/KB+/c0OA\n947cOI+Z7IXedCm4DrSMHDlSjjzySHMdjk73a9GiRbjayM+XAw44QC6++GKzCofmP+OMM6R1\n69by97//PZyfB94W4E6E3j5/tL4RAb19qo4uckvuRoB8ulnnLOqfURu78CeWxWr+2PI8954A\n7x3eO2dOtlhv4a3vCzpvPpmko8+6yosGz0zbSEbMO3kIoL1zrmgpAggggAACCCCAgAsEmMLh\ngpNAExBAAAEEEEAAAQS8I0AA7Z1zRUsRQAABBBBAAAEEXCBAAO2Ck0ATEEAAAQQQQAABBLwj\nQADtnXNFSxFAAAEEEEAAAQRcIEAA7YKTQBMQQAABBBBAAAEEvCNAAO2dc0VLEfC0gN7pUZdz\ncjLpzQt0yal4SW/xvWrVqnhZzD690coPP/yQMJ9bMvznP/+RhQsXuqU5tAMBBBDIKQEC6Jw6\nnXQGAfcK6M0E9CYmTiUNIHv16iX6u6E0Y8YMOfbYY8164bpmeJ8+faSsrKyhrOZuYmeeeaZr\n7yD21VdfmbsrRjZevzwcf/zxUltbG7mZxwgggAACaRAggE4DIodAAAF3CWhwrHcNayx4XL9+\nvQku9Xbv//73v81tvPWOYocffni9O1XqCPV5550n1157rZSWlrqro7+2Zq+99pJPPvkkqm3a\nZh19Hz9+fNR2niCAAAII2BcggLZvyBEQQMAlApWVlXLVVVfJ/vvvL9XV1Y226m9/+5v8+OOP\n8sorr5jb8uro+Ntvvy15eXn1Ak69PW9FRYWcc845jR4v2ztqamrqNUHvuHjFFVfIDTfckHAa\nS73CbEAAAQQQiCtQGHcvOxFAAIEMCmzatMlMPfjss8/MaPFuu+0m5557rrntbWy1H374oRkp\nXrRokRxwwAEmoNXgUEeNDzzwQJP9lltukVtvvVV0usXAgQPluOOOiz2Mef70009L//79pUeP\nHuH9rVq1kmHDhsnzzz8vDz74oLntrgamd911l5l6UlxcHM6rD3QU+6233pL33nvPbNeyesyi\noqJwvhUrVsg///lPmTdvnqxZs0a22247GTx4sBx00EHhPLpP2zNq1CjRYF37d8IJJ5jAXjO9\n/vrr8sEHH8iCBQuMS9++fY2Rjpjrbafvu+8+CQQC8vnnn8s//vEP4xLql05RGTlypDz88MMm\nmA5XygMEEEAAAXsCwTdeEgIIIJBxgZ133jmw7777hutZvHhxYOuttw40adIkEAyCA8HAMlBS\nUhLo1q1bIBhQh/Ppg5tvvjkQfKcL7LrrroFgUBjo2LFj4Pe//73ZdtNNN4XzBgPawJdffmme\nv/nmm2Z/MCAO79cHP/30k9l+0UUXRW3XJ8GA3OwLBqNmXzA4Ns+DFxBG5Q0G/oFg0B4IBsuB\nI444IjBgwIBAfn5+IPgFIBAMuk3eYMAfCM6tDgQDXdM/zR8cFQ4ER7kDEydODB/vpZdeMnUE\n5yub33qc888/3+w/5ZRTzLYdd9wx8Ic//CHQuXNn83yHHXYIbN68ORCcghIIBu1mW5cuXczj\n2bNnh4+tDw499NDAHnvsEbWNJwgggAAC9gSYwmHv+welEUAgRYGzzz7bjKDq6Kpe6DdlyhT5\n4osvREd9zzjjDPNbD/3+++/LX//6VwkGvGZ+8gsvvCBz5syR1atX16s5GMyKjmLHS6EVN9q3\nb18vW9u2bc22lStXmt96cZ6m3/3ud+Z36H86v3j69Olm9FlHod99910zHWTWrFkSDI5NNm2z\nTin55ptvTP+0nzq6rFMr7r333tChwr91JFv7pXWPHj3aHPupp56Sv/zlLzJ//nyZPHmy6Eom\nf/rTn8xotNa7zTbbmHw69WTQoEHmsY5QR6a9995b5s6d2+h88Mi8PEYAAQQQSE6AADo5J3Ih\ngEAaBYKjwBIcITZTEfbZZ5/wkYMjrWYOc3AUVf773/+a7Ro4NmvWzMzl1UBRkwa/Y8eONY+t\n/k8vCtSkUzZiU8uWLc0mDXw1aUCrdUcG28ExC3n55ZfNNAudShJKGsBqYBwcVTdTKjSA1i8F\nnTp1CmWR7t27S3AUXnRqR2zSqSu6EkibNm1MGQ2ONYDW+dqhpP0PjkSbpw0dI5Qv8rdO59D+\n6AWTJAQQQACB9AgwBzo9jhwFAQQsCOiIqKbI4DlUXANMTTo3ODj9wMzt1bnDsStg7LnnnqEi\nln7rknWa1q1bV69caFtwKonZpwG0Br2RSddW1tUtdt9998jN5vGFF14Y3qYXJuq8Z/0CUF5e\nbkaRZ86caR5HBtWhAvrlITJpIK4/uqKIzm9WM/3RkW9NVVVVkdkbfbzVVluZfdqX4NSPRvOx\nAwEEEEAgeQFGoJO3IicCCKRJIDSNIjTiG3lYvThOU2gVDR1pDc6TjsxiHuvIcCopOFfYFGto\nCkhoW2gqh974pXnz5lHVBOdum+exAX1UpuCTf/3rX+YiRb2Q8dFHHxUd+R4xYoToknMNpXbt\n2kVt1iD94IMPNl8yLr/8chNIb7/99nLllVdG5Uv0JNR+p29ik6hd7EcAAQS8LMAItJfPHm1H\nwKMCOqKsSecEx6bQttAIrwaNukqHTp0ITeHQMqlOSdCAUqdk6Ah3bNIRXl1Fo3fv3maXjhQH\nL0qMqlunVmgKBdLmya//C14QaOYa66ogZ511lhml1hHo0CiwZtNVObQviZJO3dB507qChgbe\nodU9dA64pmSOofm+/vpr/SXBCy/Nb/6HAAIIIGBfgBFo+4YcAQEELApogKpzfR9//PF6gaCO\n1moKBdA651cvrHvmmWeiarn77rujnlt5ctppp5m7C/7888/hYhs2bBANgIcOHSpNmzY123X6\nhm7XOduhFFwlxIwsayBbV1cX2mwuajz11FNF26VTNfRiyGOOOSYqeNal6DSg1X2Jkk7d0GA/\nMnjWMq+99popGnkMvTCxsSkdoS8KoaXtEtXLfgQQQACBxAIE0ImNyIEAAmkW0Gka119/vVl1\nQwPkjz/+2MzzDS7fZi7Qu/HGG8NrQeuazjrtQVfm0BUpHnnkEXMhnY7saooclU62mZdccokp\nd/TRR8u0adPMvGK9CDC4hJxMmDAhfBidg60pFITqY61v3LhxZpuu16x3AAwucycnn3yy6LrW\neiMXXQlDR4x1RQ7d9/3335svAIcddpipQ+daJxpB1i8QOu3j//7v/8yqGzr3Wdd01jWjNenN\nXUJJv4zoKh66JrTeICYy6Qoeuj+4lF3kZh4jgAACCNgRCL6JkxBAAIGMC8SuA60VBkebzVrJ\nwfew8HrHt99+e722BG9aEggu3xYITucIBOcnB4YPHx4IjsSaMsER33r5dUNj60CHMus6zT17\n9jTH0PWZdT3l4E1LQrvN7+CycWbd5uDNWaK265NJkyaZ9ahDbQ9O9zDbQhmfe+65QHCVDrM+\ntObRtasfeuihwP3332/qDAbuJmtoHejgXRFDRc3v4DzxQPDuh+E6tI26VnbwIsaArvl8yCGH\nhPMHb/YSCI5Wm+M+9thj4e3BW5kHunbtGgiOjIe38QABBBBAwL5Anh7CTgBOWQQQQMCugI6a\n6jSEYLBX71B68ZuuihF70Z6OuAaDSDMie9JJJ9Url+wGrVvvMtjYHOHTTz9dysrKzCoa2sbY\npOV1+oTOjdYR7NikdwvUCyJjV/OIzdfYc50motM+gsG+WVKvsXzBYNlMI9H53aFR+X//+98S\nvEGLmUPOCHRjcmxHAAEErAsQQFs3owQCCDgooLfn1mkRH330kfTr1y9cs940ZerUqWZ6RCbn\n9+rFgr169TLTMU488cRw/V54oEsC7rLLLmbaixfaSxsRQAABrwgQQHvlTNFOBHwqoPOHdQ60\njsRq0KwrY+id/3Rd4+CUCAlOc8i4jN605cUXXzRztjNeWZoq0BH6YcOGmfnTDa07naZqOAwC\nCCDgSwECaF+edjqNgLcE9BbWwfnJorev1hUxdGR14MCBJqB2oid6cWBwjrTcc889orfG9kLS\nW37ryPmll17qhebSRgQQQMBTAgTQnjpdNBYBBBBAAAEEEEAg2wL1r3jJdouoHwEEEEAAAQQQ\nQAABFwsQQLv45NA0BBBAAAEEEEAAAfcJEEC775zQIgQQQAABBBBAAAEXCxBAu/jk0DQEEEAA\nAQQQQAAB9wkQQLvvnNAiBBBAAAEEEEAAARcLEEC7+OTQNAQQQAABBBBAAAH3CRBAu++c0CIE\nEEAAAQQQQAABFwsQQLv45NA0BBBAAAEEEEAAAfcJ/D//WVD3jbjNnAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(diamonds, aes(carat, price)) +\n",
    "  geom_bin2d()\n",
    "ggplot(diamonds, aes(carat, price)) +\n",
    "  geom_bin2d() + \n",
    "  scale_x_log10() + \n",
    "  scale_y_log10()\n",
    "\n",
    "ggplot(diamonds, aes(log10(carat), log10(price))) +\n",
    "  geom_bin2d()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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y7FeeedhwULFrTIwx0SIAESIAESIAES\nIAESiBWBhBiBdrvduP3222Ey+Vs6vvvuu3Hsscfisssu09JffvllPPjgg5g5c2bA/LECx3JI\ngARIgARIgARIgAS6JoGEGIF+8803NWX44IMPbtELJSUl+OOPP7QRaK9yffTRR2Pbtm1Yvnx5\ni7zcIQESIAESIAESIAESIIFYEIj7CPTKlSshCvRzzz2H1157rUWbd+zYoe337t27OT4nJwc2\nmw2FhYUYPXp0c3xtbS2WLFnSvC8bubm5yM7ObhEXzo7ZbEZSUpJhR7q9Dx3Cy4jBarVC+sCo\n9bdYmlyvSzs8Ho8Ru0A794W/EevvPf+Nfg5JO4x6DQh7CXIfNeI5JHU3Mn+590iQe5GRzyFv\nO7TGGOyf9z5kVP4Gwx3T6sZVgW5oaNCmblx00UXIz8/3a/j27dtht9u1j29iRkYGysrKfKOw\nefNmnH322S3ibrrpJpx+esdMvkn5Rg/y0GHkkJycbOTqIzMz09D1797d2F4u5YfL6NdAWloa\nz6E4EjD6+ZOamgr5GDUY/TdAuBv9HDLquRPNesdVgX788ccxYMAAHHHEEQHbKKMWTqfTL83l\ncvndDOTknDFjRou8w4YNQ3V1dYu4cHZEeW5sbITM0TZi8N4wZXTeiMH7BkAetIwY5PyVc6iu\nrg5yzhoxyDlk1PNHeKenp2v3kPr6eiPih4y8yQiW3IeMGETxkTbU1NQYdgTayNeAjDynpKTA\n4XBoHyOeQ53hd1iuYbkGoh3kfscQOwJxU6DF6sYHH3yAMWPG4Oqrr9ZavHbtWu0il/1rr70W\nPXr00BQP+QH3KoOSsbKyEr169WpBSfJeccUVLeLEJJ6Yvos0yM1Hyjbqj5fcOOW1aUcYRMpO\nj+O8r7yMWn+5mXkVaKM+BIgCJA+hRnz9Lg9gXgXaqOeQ3Pdi9eOrxzXbWobcQ0WBlnPIqAMR\ncg0Y9fyRe6j8Dsj9pyODSa37NZb7ch3LIIQ8BBgxyPkjbYjFOUQFOrZnSNwUaLmozz///Bat\nLS0t1Z7SRo0apc2Z69u3r3bzXbZsGfbee28trywqlBux77zoFkK4QwIkQAIkQAIkQAIkQAJR\nJBA3BVrmhbaes1xUVAT5+MZPmTIFL774IkaOHKkp07LY8PDDD9cWCEaRC0WTAAmQAAmQAAmQ\nAAmQQEACCWHGLmDN/oy88MILtdXDxxxzDI4//nhNib7kkkvaOoRpJEACJEACJEACJEACJBA1\nAnEbgQ7UoiuvvNIvulu3bnjooYe0ec8yn87oq9H9GsgIEiABEiABEiABEiABQxFIKAW6LXJG\nNwXWVtuYRgIkQAIkQAIkQAIkYBwCCT+FwzgoWVMSIAESIAESIAESIIGuQIAKdFfoZbaRBEiA\nBEiABEiABEhANwJUoHVDSUEkQAIkQAIkQAIkQAJdgQAV6K7Qy2wjCZAACZAACZAACZCAbgSo\nQOuGkoJIgARIgARIgARIgAS6AgEq0F2hl9lGEiABEiABEiABEiAB3QhQgdYNJQWRAAmQAAmQ\nAAmQAAl0BQJUoLtCL7ONJEACJEACJEACJEACuhGgAq0bSgoiARIgARIgARIgARLoCgSoQHeF\nXmYbSYAESIAESIAESIAEdCNABVo3lBREAiRAAiRAAiRAAiTQFQhQge4Kvcw2kgAJkAAJkAAJ\nkAAJ6EaACrRuKCmIBEiABEiABEiABEigKxCgAt0VepltJAESIAESIAESIAES0I0AFWjdUFIQ\nCZAACZAACZAACZBAVyBABbor9DLbSAIkQAIkQAIkQAIkoBsBKtC6oaQgEiABEiABEiABEiCB\nrkCACnRX6GW2kQRIgARIgARIgARIQDcCVKB1Q0lBJEACJEACJEACJEACXYEAFeiu0MtsIwmQ\nAAmQAAmQAAmQgG4EqEDrhpKCSIAESIAESIAESIAEugIBKtBdoZfZRhIgARIgARIgARIgAd0I\nUIHWDSUFkQAJkAAJkAAJkAAJdAUCVKC7Qi+zjSRAAiRAAiRAAiRAAroRsOomiYI6RMDhdmBu\n6TysrF2LbtYsTOk+Cf2T+3RIJg8mARIgARIgARIgARLQnwAVaP2Zhi2xyFGCc//4JwobS+D0\nOJFksuLJra/gtkFX4ageh4YtjweQAAmQAAmQAAmQAAlEjwCncESPbciSb15/H3Y4itDoaYRH\n/TnUt1v93aTitzXsCFkOM5IACZAACZAACZAACUSfABXo6DNus4RqVw3mVy6CS/21DjIS/WXZ\n/1pHc58ESIAESIAESIAESCCOBKhAxxG+FF3trAlaA5caha5wVgVNZwIJkAAJkAAJkAAJkEDs\nCVCBjj3zFiXm2Xogw5LeIs67Y1Ibo9KGeXf5TQIkQAIkQAIkQAIkkAAEqEDHuRPMJjP+2W86\nLOrPN1jV9I3BKQPwl+x9faO5TQIkQAIkQAIkQAIkEGcCtMIR5w6Q4k/MPRJWkwUPbX4WZc4K\nTZk+tNsBuG7ApbCoeAYSIAESIAESIAESIIHEIUAFOkH64tgeh0E+5c5KpJlTkGROSpCasRok\nQAIkQAIkQAIkQAK+BKhA+9JIgO1sa2YC1IJVIAESIAESIAESIAESCEaAc6CDkWE8CZAACZAA\nCZAACZAACQQgQAU6ABRGkQAJkAAJkAAJkAAJkEAwApzCEYxMjOPX1W3EXRsewZq6Dci0pmNq\n3nE4Pf/EGNeCxZEACZAACZAACZAACbRHgCPQ7RGKQfp35T/ipKXnY1H1ElS4KrG5YRvu3/wk\n/r7imhiUziJIgARIgARIgARIgATCIUAFOhxaUcp79do7AkpeULUI88q+D5jGSBIgARIgARIg\nARIggfgQoAIdH+7NpW6u34o6d33zfuuNtwtntY7iPgmQAAmQAAmQAAmQQBwJUIGOI3wpuspV\n02YNGtwNbaYzkQRIgARIgARIgARIILYEqEDHlrdfaaPShsMMk1+8N2L/rH28m/wmARIgARIg\nARIgARJIAAJUoBOgE87N/2vAWmRZMnFe78BpAQ9gJAmQAAmQAAmQAAmQQNQJUIGOOuL2C7i4\n33n4Z9/pSDbZtcwmNSK9W9pozBn7avsHMwcJkAAJkAAJkAAJkEBMCdAOdExxBy/s7F6nQj4M\nJEACJEACJEACJEACiU2AI9CJ3T+sHQmQAAmQAAmQAAmQQIIRoAKdYB3C6pAACZAACZAACZAA\nCSQ2ASrQid0/rB0JkAAJkAAJkAAJkECCEeAc6ATpEHHnfffGR1HkKIbNbMPh3Q/CjYMuT5Da\nsRokQAIkQAIkQAIkQAJeAhyB9pKI4/d7hR/j0tU3YLujAE64UOuuw/vFc3Di73+LY61YNAmQ\nAAmQAAmQAAmQQCACVKADUYlx3D0bHwtY4vr6Tfiw6JOAaYwkARIgARIgARIgARKID4FOPYXD\nbDYjNTU1YrJWqxXJyclISkqKWEZ7B66qXqtGnZ1Bs80t+xrTBpwUNL2tBJNJWZRWn44waEt+\ntNMsFgukD4xaf+95Y7fbIW0xYpDzJyUlxYhV1859qbiwN+o5ZLPZNPZGrb9cvxLkHPJ4PNq2\n0f519Hcknu313nfkXmTkc0h+h73nUjx5RlK23EMlGJV/JG3uKsd0agVaOtF78kbaoXJ8R2W0\nVXa7stW1126etgrQgUE74qOW7G239ztqBcVAsJHbYNS6+9bbdzsG3a1bEd56e791ExxjQax/\njIH/WZyXu3x7t+NTk46Xyvp3nCEl6EugUyvQbrcbdXV1EROTp3Y5vrGxMWIZ7R3Yx5QPKyza\n3OdAeadk/QU1NTWBktqNS0tL00Z9Ij2+3QKinEFG3+SmadT6S91l5KShoUH7RBlXVMTLqElt\nba0hRw9l5DAjIwMul8uw55CM2hr5GpB7qHzkHJL7sRGDXANGvQfJPVR+BxwOh2HbICPP9fX1\nWhuMev7E6hrOzMw0IiLD1plzoBOg6/7V/+KAtRhg74sT844MmMZIEiABEiABEiABEiCB+BCg\nAh0f7i1KPaXn0Xhw6G3oactVY9EWpJiTcVzOYfhw7Ist8nGHBEiABEiABEiABEgg/gQ69RSO\n+OMNvQaTuu0L+TCQAAmQAAmQAAmQAAkkNgGOQCd2/7B2JEACJEACJEACJEACCUaACnSCdQir\nQwIkQAIkQAIkQAIkkNgEqEAndv+wdiRAAiRAAiRAAiRAAglGgHOgE6RDfq78FY9seR6r69Yj\n05KOE3OPxN96TUOSmV2UIF3EapAACZAACZAACZCARoDaWQKcCN+WL8Dlq2+GW/1JKHI34IXt\nb2JpzUo8NvzOBKghq0ACJEACJEACJEACJOAlwCkcXhJx/L5jw0PNyrO3Go0eJxZULFKfxd4o\nfpMACZAACZAACZAACSQAASrQce6EQkcxihpLAtbCrDzZLa5aEjCNkSRAAiRAAiRAAiRAAvEh\nQAU6PtybS7WZbc3brTdMMMNutreO5j4JkAAJkAAJkAAJkEAcCVCBjiN8KTrbmolRqcOVquzf\nFY2eRvwle0Kca8jiSYAESIAESIAESIAEfAn4a22+qdyOCYHbB/8LqZYUJJma1nSa0PT39z5n\nYWjqoJjUgYWQAAmQAAmQAAmQAAmERoBWOELjFNVcg1MG4MMxL2JmwYf4veYP9EjKwXE9DsPe\nmbtFtVwKJwESIAESIAESIAESCJ8AFejwmUXliJykbrio77lRkU2hJEACJEACJEACJEAC+hHg\nFA79WFISCZAACZAACZAACZBAFyBABboLdDKbSAIkQAIkQAIkQAIkoB8BKtAdZOnyuFDprILH\n4+mgpKbDq5zVcCqZDCRAAiRAAiRAAiRAAolJgHOgI+wXh9uBhzc/h/eKPkaDx4F0Sxqm9zod\nZ+afDJNygBJumF38OR7c/CxKnWWwmiyY0n0Srul/CTKsaeGKYn4SIAESIAESIAESIIEoEqAC\nHSHcq9feie8rfoK43JZQ7arBo1tf0L7/0fccLS7Ufx8WzcUdGx6ESzn0liAj0J+VfoN1dRvx\n+qjHYTbxRUGoLJmPBEiABEiABEiABKJNgJpZBIRX1KzBt+Xzm5VnrwinUqZf2D4TVc4ab1S7\n326PW408P92sPHsPEFlr6jbgG1UOAwmQAAmQAAmQAAmQQOIQoAIdQV8sr12Jtlxwr6lbH7LU\nQkcxKl3VgfOradXLalYFTmMsCZAACZAACZAACZBAXAhQgY4Ae4YlAzJyHCi41VhypjU9UFLA\nuDQ1dzpYkKkb4cgKJofxJEACJEACJEACJEAC+hGgAh0By32z9lQL/fynj5uVC+7+9j4YkjIw\nZKmySHBC5h6wqL/WQaZxHNrtgNbR3CcBEiABEiABEiABEogjASrQEcAXixv3D70JSaYk2NRH\ngnxnWNLxn2G3aPvh/Lt10FXIs/XQZIj9DpFrVn+3DLoSve354YhiXhIgARIgARIgARIggSgT\n8B9GjXKBnUX8vll7YfbYV/BxyRfY4SjCwOR+ODpnckRm50R5/mDMC5hT8iVW1q5FN2sWDs85\nCAOS+3YWXGwHCZAACZAACZAACXQaAlSgO9CVovie2+uvHZCw81C72YYTco/YGcEtEiABEiAB\nEiABEjAYgYKCAjidTvTp08dgNQ+vupzCER4v5iYBEiABEiABEiABEghC4IwzzsD+++8fJLXz\nRFOB7jx9yZaQAAmQAAmQAAmQAAnEgACncHQQ8uLKJfilain+0m0/DE0d2EFpPNyXwJb67eo1\nkAu57m5IMjct1vRN5zYJkAAJkAAJkAAJxIMAFegIqa9U3gjPXH4JGtHkyvuxbS8i05yOj8a8\nhCxbVoRSeZgQWKs8MP5rze1YV79JGQYE7GY7Lu83A6fmHUNAJEACJEACJEACCUKgsLAQs2bN\nwldffYVBgwbhnHPO8avZihUr8Oabb+Liiy/GU089hQ0bNmDKlClYvnw5DjjgABx66KEtjlm1\nahVef/11nHTSSRg7dmyLtETaoQIdYW9MW34R3OrPN1S6q3HU72fhf3v+1zea22EQKHdW4tw/\nLkeNq8kdunLGiHp3A+7d+DjSLak4MueQMKQxKwmQAAmQAAmQQDQIFBcXY/z48SgtLcXBBx+M\nL7/8Ek8++SQyMzNbFLdy5Urcdttt+OOPP/DOO+/AbDbDarXi008/xZw5c/wU6Mcee0yTc9FF\nF7WQk2g7nAMdQY/cv/EpP+XZK6bGXQuZ1sEQGYEPiuagQSnMbojqvDO4lIfHR7e8sDOCWyRA\nAiRAAiRAAnEjMG3aNJSXl2PhwoX48MMPMX/+fFx99dXaCHOgSs2bNw/Lli2DKN6iUMtotRwr\nCrY3iPWOmTNn4sgjj0ReXp43OiG/qUBH0C2/Vi9t86gvy75vM52JwQmsUnawHZ7GgBl2OArh\n8rgCpjGSBEiABEiABEggNgQqKyvxxRdfYPr06Rg+fHhzof/3f/+H/v37N+/7bkjeUaNGoVu3\nbujZsyfOPvtsmEwmbbqGN9/cuXNRVFSEc8891xuVsN9UoCPoml62tp+KRqQOiUAqDxECPRVb\nawC35pImHiAtJotsMpAACZAACZAACcSJwJIlS+DxePzmKFssFowbNy5grXwVbckgc6YnTZrU\nQoF+9dVXkZubi6OOOiqgjESKpAIdQW/8a8DFQY8yqWVvx+ROCZrOhLYJHNNjit/0DTkiyWTF\nyblHt30wU0mABEiABEiABKJOoKSkRCsjPT3dr6zu3bv7xUlETk6OX/x5552HdevW4YcffkBF\nRQU++ugjiB3ppKTEt7xFBdqvO9uPyLV1x8W9A79eeGTYHe0LYI6gBIakDMDtg/8Fq1KYxfpG\nsvqY1d9+WXvjH33ODnocE0iABEiABEiABGJDYLfddtMK2rRpk1+B27Zt84sLFnHiiSdqiw5l\n3vN7772H+vp6Q0zfkPbQCkewXm0n/m99puHw7gfhrk2PYoejAENSBuKmQVeqaQYp7RzJ5PYI\niKWNvTN2w/zqRXCYGzHMOgjj0ke1dxjTSYAESIAESIAEYkBgwIAB2jzmV155BZdddllziaI8\nf/fdd8jPz2+Oa2sjNTUVU6dOxQcffAAxX7fnnntizJgxbR2SMGlUoDvQFX1SeuHxXe7qgAQe\nGoxAri0HJ+cfjZSUFO21TrB8jCcBEiABEiABEog9gWeffRbHH388TjvtNFx55ZWQhYWyiNDl\nCm+xv0zjEFlbtmyBmLAzSuAUDqP0FOtJAiRAAiRAAiRAAglC4JhjjtEU38WLF2OvvfbC5MmT\ntRFkGVEOJ0yYMAEjRoyA3W7XlPFwjo1nXo5Ax5M+yyYBEiABEiABEiABgxKQ0WP5iHfBHj16\nINCiwuOOO06z2NFWE8XJitECFWij9ViI9a1yVuP3QmWcXPkjGeTuq5mAC/HQqGe7ed39+LXq\ndwxLHYz7h90csDyH24FfypfCWe3CAPRBnq1HwHyMJAESIAESIAESiC+BgQMHxrcCcSidCnQc\noEe7yPcKP8a/Nz2uDJSrkjSHfiZcP/AyHKtMxMUzfFs2H5etuam5Cpsc27D7z5NxVb+/Y1r+\nic3xCyt/w5VrboN4dbSYzHC4G3FGz5Nweb8LNKPrzRm5QQIkQAIkQAIkQAJxIMA50HGAHs0i\n51csxJ0bH0aj8uYniqd49XN4HLhl/f1YVBVfF+O+yrMvg/s2P4nGxibvgzsaCnHRqmtR4aqE\n0+NUbr0d6hnAgzcLP8TrBe/7HsZtEiABEiABEiABEogLASrQccEevUJf3P6WpnD6l+DBK9vf\n8Y+OUcxDm55ps6S/r7lWS/+weG7ToHmr3KJMv7B9ZqtY7pIACZAACZAACZBA7AlQgY4986iW\nuLlha0D5MpNjY/2WgGmxiPyx8pc2i9lYv1lLl28ZPQ8UypzlcHnCM48TSA7jSIAESIAESIAE\nSKAjBKhAd4ReAh7b1947YK1kOnT/5D4B02IRuXfmuDaLGZDcT0vvn9xXc9sdKHM3a7aaE20J\nlMQ4EiABEiABEiABEogZASrQMUMdm4LO7TVVOb4Wdbl1MOGs/FNaR8Zs/4r+F7ZZ1iNDb9PS\nj+9xhKq9f/3Ftfc5+ae2KYOJJEACJEACJEACJBALAlSgY0E5hmXsl7U3rhlwiTaKazPboH1M\nSbh54BXYq51R4GhX84EhgU3WXdH3AqQmpWrF97Ln4dHhdyLTkg5Rmu1mu6ZQT807Fmfmnxzt\nKlI+CZAACZAACZAACbRLgGbs2kVkvAyn5B2Dw7pPwnpL05znwa5+yLCmx70hB3XfH790/xzX\nrbkbv9Usx7CUQbhv0I1ISkpqUbfxmbvjs93ewtL6FWi0ODHI1A89bbkt8nCHBEiABEiABEiA\nBOJFgAp0vMhHudxMawYm5/1F8/5TVFQU5dLCE3/X0CaLG20dZVej5/tm74WUlBRUVFS0lZVp\nJEACJEACJEACJBBTAlSgY4qbhZEACZAACZAACZCA8Ql4PJqntpg1xKR5h4tZce0WlBAK9Nq1\na7FgwQL06dMH++yzjzbq6FvzqqoqfP/995BvSe/fv79vMrdJgARIgARIgARIgARiSKC2trbZ\nCVq0i01NTYXNZot2MWHJj7sCfcstt2DRokXYb7/9MHv2bLz66qt44IEHkJWVpTVk/fr1+Nvf\n/obBgwdrCvbTTz+NO+64AxMmTAiroUbILC6sV9auQbekbByQtU+H5i2Lzec5G+Zp9ixGm4fH\n1YSdL/t65VnwhW1vYHXdOvSz98H5vU9HZgLMz/atI7dJgARIgARIgARIoC0CcVWgf//9d3z9\n9dd488030atXLzgcDpxwwgn45JNP8Ne//lWr9913341jjz0Wl112GWT4/uWXX8aDDz6ImTNn\navttNc4oadWuGly86nosrV6hLE802Tk2m8x4YOitmJC1R9jNeHjzc3h5x9vKgoU8rZmUO+wG\nzOh9Bmb0OStsWXoe8FvVcpy/4go4sdMZymsF7+E/Q2/GQd0m6lkUZZEACZAACZAACZBA1AjE\n1Yxdjx498O9//1tTnqWFVqsVmZmZKC0t1RpcUlKCP/74A8cdd1yzsnz00Udj27ZtWL58edSg\nxFrwnRsexvKalUqtdKHB49A+de56/HP1jShtLAurOnNL5uHVHe9o7rzrleJcr+R41N8z217H\nvLLvw5Kld+YLVl7VQnkW+VK3K9fchjpXvd7FUR4JkAAJkAAJkAAJRIVAXEegZdRZPhLWrFmD\nOXPmaBYXDjvsMC1ux44d2nfv3ju96+Xk5GjzYAoLCzF69GgtXf6Jsv3aa68178uGTAsZMWJE\ni7hwdkShl3k3LtfOEdNwjg8lb62rDp+VfgO3+vMLyp/INzULcGbf0B2gvL3yI6WG+8sS+e+U\nzMYx/ZrY+pUV5YjPCr+GQz0cBApStw/KP8EFA85skWyxWDQTd+np8TfB16JiIe5452slJyf7\nmeoLUUTcs5nNZgj/WC8W0aPh3gUnch0b9RwSE4/SDm9b9OASSxnCXkJaWpohzyGpu/cakG2j\nBbmHSpB7kZGvAW8btMYY7J+cP3L9GpW/wXDHtLpxVaC9LRUzaxdddBFkQrqMMPfr1+TWefv2\n7bDb7drHm1e+MzIyUFbWcmS2uLgYTzzxhG82yAj33nvv3SIu3J3WNorDPb69/OW1VUp99Fd4\n5Ti3x41yVGntbU+ON72wscS76fdd4CgOS5afgA5EbNne9DAUTMR2Z0HQukW7D4LVSa94eQgz\ncjD6jV+UOLlnGDnIfdDIwejnUGc4f4x8Dhn9N0CuXaOfQ0a+/0Sr7gmhQOfm5uLTTz/VRqFv\nv/123HDDDbj33nu1UTun0+nXdhkRbq2U9O3bFy+++GKLvHl5edrIdIvIMHbkpl9fX49AdQhD\nTJtZk9wWJCtvezLdonUQl9a9EV4bhiYPxLa6HdrUCF95ZuXge5hKk5H6eIQxtrbfBIyyDfer\nm9w0ZeSkpqYmHlXucJliw1rO08rKypitVO5wpVsJyM7O1t4KGXUEunv37traCrHgY8Qgby8k\nyH3IiEHuoaK4ybQ8I55DwlyugfLyciPi16ZFyoJ8GZyqq6szZBvk7YWsj2psbDRk/eX8kRHo\n1oN+0WiMvKFniB2BhFCgvc0dOnQoTj31VNx3332a0iQjyKIsy8XvqzCLQuKd+uE9Vi4ymbLh\nG+Sm15Gbhtvt1i7aaF+45/U6Tc1Rfg1Oz86HBQssyEnqhoMy99NuHr7tamv7/Pxp+K7sRz8F\nWs0Gwbn5U8OS1VY54aaNtA9Fvi0POxyFfoemm9NwRLeDA9ZNRg/l5mnE4J3CIQ9gRm2DKD1S\ndyMqP/LqVIJcx0blL+e//Pgatf7CXoLcQ73bWoSB/nmvAQNV2a+q8jtq1HNIBiLk/DFq/eX8\nMfI17HcyMaKZQFwXEb711lu4/PLLmysjGzLaKDdaOeFkVFl+QJYtW9acRxYVSrrvvOjmRINu\nnN9rmqbcigUOGXWWMDJtGJ4f8SBsmiWN0Bu2a/oIPDjsVmRbM5tldbdm45Hhd2CX1KGhC4pC\nzrdGP42+9qY5717xOdZueHvXZ7y7/CYBEiABEiABEiAB3Qg88sgjWLJkiW7yvILiOgI9adIk\nPPnkk5g1axaOOOIITVF+7733IPHeEecpU6ZoUzNGjhypKdPPPfccDj/8cMi0j84S5GHhH33P\nwTm9pmJD/WZ0UwpvL3texM07MHsCvtjtbVSkVouZC2TXZUDM4sU7iL3nWWNfweb6rfi1ehlG\npg7D0NRB8a4WyycBEiABEiABEog2gYoKmDZukFWt8Aweon1Hu0jRGcUM8iuvvIKxY8fqWlxc\nFeiePXtqDZOng4ceekh7RTN58mRcccUVzY288MILceutt+KYY47R5tKNGzcOl1xySXN6Z9pI\ntaRgVNpwXZpkUaPZIzKGaa/ei+qLdJGpl5B+yX0gHwYSIAESIAESIIHOT8A8+yOYvvgMEMsw\n4gJcrXFyn3UuPKN3jVrjxbrbdddd52eIQq8C46pASyPEcYoox2KyTibAy3wn39CtWzdNuZZ5\nz2KSR+Y6M5AACZAACZAACZAACSQ+AdMP/4Ppy89hEsXZaxhCzcs3P/c0XNfcAKjBVL2DrD06\n44wzcOONN2qDsPKmX+8Q//f6qkUyz1nmO7dWnn0bKw5WqDz7EuE2CZAACZAACZAACSQ2AbMa\neTb9uaC4dU3N33/XOkqXfbHoJnrjxRdfrIu8QELCHoEW83LiBfDss8/W5ipHQ6sPVNFEjCtU\ndpU/KfkKBY4iDEjuh6N6HIJ0S2Qj5DvUNIsZq65SViqKNBfc5+X/Fef0nhpxs/f9+SjUo8l6\nRYopGT/sNStiWd+X/6Rcg7+DSlcVdk3dBVf0m4FUa2S2jauc1Zhd8oU2DzpfzfM+KudQzdpI\n68q9sv0dzCz8UPPKKHOl7xtyI1LUFBeG2BCocdXi45IvUVBYhAx3Oo7sfjDybD1iUzhLIQES\nIAES6DwEgpiBFKXaU1igezvnz5+vra/75ZdfNIMUuhfwp8CwFWgZKb7rrrvw8ssvY+DAgTjr\nrLM0ZXrw4MHRqmNCyl1QsRiXrVavHlRoVObnkkxWPLXtZWU54wEMThkQVp3nFs/Dtevvaj7G\n4XLg4a3P4aOSz/D+mOeb40PZKK4txuRlp7XIWuepx+4/T8b3o//bvDizRYY2dm5ady9mlXze\nnGNl7Vr8t/gzvLXrU2G3U46dvuJKNCib103MkvDk1pfx2PC7sGfGzsn9xy85FxsbtjSX+X3F\nz5i4+Dh8sOvzGJDS5GSnOZEbuhPYULcZf1txBapdNc3n9hNbXtKsu0zM6phjIt0rS4EkQAIk\nQAKJTUDZwlaOHvzq6DGr+dB5+k7fqK6u1qZuyNq6Pn2iu9Yq7Ckc06ZN0+Yrz5w5E6NGjdKU\nabHffOCBB+KFF16AUR0W+PVsGxGiWPzfmluUa2plm1J9POpPviudVbhCxYcbfJVn32PX12/C\nWzv+6xvV7nZr5dn3gInLjvPdbXf7h4qFLZRn7wFOODFjxb+8uyF9i1fFK1bfrCllO5k5NAcy\nEl/nanIU8fiWF1soz17hwviM5Z1z8ai3jYnyfeWaW1HurGxxbjeq8/uqNbdB3iAwkAAJkAAJ\nkECoBNyTD4PHHEjd9MC9/wGhigkp3zPPPINt27bhjTfewLHHHqt9ZA3dAw88gKuuuiokGaFm\nCtSido8V71hTp07Fxx9/jC1btuA///mPZuj8/PPPR35+vjYqPW/ePEM6X2i38SrD/IpFyumJ\nyy+rehmBTfVbsLZuo19asIil1SuCJWnxz2x/rc30aCa+sv3toOKLnaXqgSF0ZWpF7Rpteooo\nwq1DnRqRXlj1mxb9buHs1snN+9XumuZtbkSHwEY5f+s3BnQv71IPQfI2gIEESIAESIAEQiXg\n2XciNCVaLeTzqDVvHmUQwpOcAvf0C3Ufgd5nn31w/fXXY/z48c0fWWcnsyRk0FfPEPYUjtaF\niyk6cYZy2GGH4amnnsITTzyBV199VfsMHz4c99xzj2Zpo/VxRt6XkWazOhEC6ILKYbZFG4kO\ntX2ra9e3mTWQi+82D9AxsdLVtoJc3FgCse0cSqhQzCzKFrWMRLcOEl+hRjwltNfeOlcd50K3\nBqjjvvSDuH13q7/WQdY7SD8ykAAJkAAJkEA4BDxHHg3X/gfCtEkNMCoTdp5Batqvsgetd5g4\ncSLk4xvETPLxxx+vTe3wje/odkQj0N5CN23apCnIu+66K0aPHo2nn35aU5ZlZHru3LkYOHAg\nTjrpJLz00kveQzrFt9hqdrgDu5eWEdahKQNDbucR3Q9qM+/g5P5tpkczcUz6yKDixWNiOHO9\nd0kdHHDUXgpoUCxH/mn/un879qG5kDBol+iSMESdu8EWBje6G5Wd8mG6lEMhJEACJEACXYyA\nsorh2XUMPLuMiIryHGuaYSvQFcqTjHh2EW+BoiBfe+216iHCBpmwLfNO3nnnHRx55JHaiPQn\nn3wCmR8tc6M7UxA32/tn7aMtHPRtl1UtJDxXeRPMCHFUVo5Ntiajjy3fV0yL7Sd3uafFfns7\nw5IHBs0yLnV00LRACf/sO92vjd58J+ce7d0M6bt7UjdM63kChJFvkMWXk7sfiCF/Lrx8YMgt\nvsktto/sfkiLfe7oTyDNkoq/KdfygfppQuaeaOuhSv/aUCIJkAAJkAAJdIxAcXGx7qPPUqOw\nFWiZiD19+nTN7fall16KX3/9FYsXL9a8A4ojFN9gVpPGe/Xqpc2L9o3vDNv3Db0RJ+UeBZsp\nSWtOmjkVF/U5R33ODbt5s8e9iv72lqtF5TX6C7s8iPQwlHEp+O0xzyLH0s2vDr2seXhp9EN+\n8W1FpFiS8c6uzyEvqUdzNhl5PjXvWFw38NLmuFA3xPzdBb1OR6q5yRyd3WTD1LzjcMegq5tF\n9EnphceH3Qmr+vMNk7sdiDuHXOMbxe0oEfh7n7NwSZ/zmk0yJqlz/PgeR+CBYbdEqUSKJQES\nIAESIAFjEVCOYcQ1TOjho48+Uo5knDj66KO1kef2jhTxwV4Jt3dsR9PLle3Burq6iMVkK9Mr\nNTXKlFdjY1AZsphQrHJkWtLVvOiwn0f85P6kzOMNtvdHj+SdSqtfphAjPq76Qo0g2zAl/cAQ\njwierdZZixJnmS4uuGUetMyvzlA2s8XleLBQgSpUm2rQxxN8hD7YsYkQn56ejoyMDJSWlqKh\noSERqhRWHeTaTcq2oaGiQc3s7/i5HVbhOmSWB3hZo1FfX4+ysjIdJMZeRGpqqnb/lPuQEYPc\nQ8VBVkFBAdxBHCkkertyc3NRVFSU6NUMWD95OywDW2IdS8x7GTFkZWVpv+MOR+Bpk4neJjl/\n5F4k10C0gwxYxjK0px/pWRe5F8r5nEih5TBfCDU76qijNJfaIWTVssRLeQ61fh3NZ1UKYLY1\ns6Nimo8fn7VH83ZHN84dMk2zhKLHzV8cp0TqPKV1O+RBIxRmubYc9E/pC5k2xBB7AnLtdrNl\no9hU3Gkt6sSeKkskARIgARLoDATCHlYS94gTJkzQFg+uWLGiMzBgG0iABEiABEiABEiABEgg\nZAJhK9D77bcfxKbeDTfcgJEjR2ofWUj4448/cpQqZOzMSAIkQAIkQAIkQAIkYFQCYU/hmDJl\nCuRTotwyipWN2bNna/afxd6zzL857rjjNHt7YheaIT4E6hprcPcvt2CBa6VWgYnWkbh291th\nUxY/jBK+KZuPz8q/QY2nFruljMYpecdALEQwBCewuOp35WZ9LoocpRidtgv+2vM45CjrJ5GE\n7Q2FmFn4ITas34xcUw5OzD1SmbAbHomokI8RJy5vFX6E9XWbMCC5r9bnXussIQthRhIgARIg\nARKIAYGwFxEGqpMsKvz8889x3XXXaVY5JE+YaxMDie1wXCwWEXa4kjoLqK6vwGG/TkWtWXlK\nNCnhfy4RzXBZ8ele7yIlKU3nEvUXd+eGh/F+0RxV9aY/sQLR3ZqN10Y/hh5J3fUvMEoSY7mI\n8GXlNfLhLc9pXS4eMcU8oN1sx0sjH242ERhqM3+rXq5ctV+lOVNp9Di1BYQi85ZB/4dje0Tn\nwfgH5eHwstU3yY1DOYp3qTKVpyr1d//Qm3BQt5ZG8UNtBxcRhkoqevm4iDB6bEORzEWEoVCK\nbh4uItSHb6dYROhFIZYpfvrpJ3z11VfaZ/78+ZqlAblhHnTQQd5s/I4xgX/9ciVqLX8qz1K2\nKNEqVFmcuH7Rv/DAhMebIhL0v7hJF+XZ1xNeo6dRWQApxb83Pob7lELF0JLAhrrNmvLc9LjR\nlCaKr8vlwvXr7sbM0U+1PKCNPXnwvXrtHWjw7Fzx7lK9IeH2DQ9hYtb4iEe1gxUrTomuWXuX\ncrTjbM7iUkq0hOvX3YMvdnsbqZYm04fNGbhBAiRAAiQQNwLyWyFKbSyDlJlIhinCnsLx5Zdf\n4v7778d3332nmXiz2+2QedE33XQTDj30UOy5555hWemIJfyuUNYi88ZmpblFe5UivQBrWkQl\n4s5XZf9T1fK3rCjmAr8pn5+IVY57nYSL2CP3VXqlUjJqvLJ2LUobyyCObEIJa+s2oNAR2GSX\nmLL7oWIhjukxORRRIedZUv0H6tyBzU1Kvy+qWoIDsvcJWR4zkgAJkAAJRJeAKLIySBOr2Qby\nRlE+iRTCVqC//fZbzU23vBq64IILcPXVV2Pw4MGJ1KYuXZemcbvACJwmf8U0cM74xda76zXF\nL1ANRJkSG9J62NsOJN+ocfXuBm26Q7D61wdxOx8ov+QVZzkymt06SLz0j95B6m/S7Ez7n71m\nrUzj2dDWmxHlkQAJkECiERAb+235ydCzvok4hSNsdf7ss8/G3XffjYkTJ+Kll17CkCFDsOuu\nu+Kyyy7DrFmzUFlZqSczygqTQH+nskntr/tocUNcLT1Fhik6Jtn3yhgX0H24zEQZlTqcynOA\nXtgzYyxc6uEiUJC5471seYGSAsYNSx0EmzmwsXoZ4d4jY0zA4zoSuWv6CO3BKJAMh5q+My59\nVKAkxpEACZAACZBA3AiErUDLaPM111yjzXsW715z5szB5MmTMW/ePM0Ch3g92nfffePWoK5e\n8B1Drm1C4KtEq21RQO8cfkPC4zky51AMTO7fQomWkU+zclhz9YCLEr7+8ajgXpnjsF/W3i2Y\nST3EHfz1Ay8La86YXSnPV/b7u3asb1usalGiLCAckjLQN1qXbXGqc2GfM7WFg74CxUvlOflT\nkWfruFdOX7ncJgESIAESIIGOErDcokKkQpKSkjBs2DCMHTtWc5krbh3XrFmDLVu2oANiI62O\n33HyekEshEQakpOTtdcTRnJBm5veGxNMwzC/dAFqzE1tz3em4qmBt2GXvN0iRRGz4yzKS+GR\nOYdo7tG3NGzXBtNlBPLeITdCRiqNFGSak6wREHfyMlcsmuHQbk3u2sUUnCzGG5Y6GLcOugoH\nZk8Iu1gxVzdUKcpr1HzoGjU3OVdZPjm/9+m4pO95YSnj4RS8hxpFz7fnQeZgyzSRXvaeuKTP\neTi399RwxLTIK3P0xBKK3APkXmDEIPdYaUesXpPqzUjuodIG+W2I1VxJvduQlpaG2tpavcXG\nRJ7FYtEWeokbbKO6wpZzSK7haN9Do9Uhcv7INSzXQLRDRkZGtItoIV/uS7HSj+Q+IudzIoWI\nzNjJj5EsIvz000/x2Wef4ffff9fatMcee2ij0Mceeyx22y3+ylpXNGPne3Ll5eVpP1p6uPL2\nlRurbVFAU1JSDOvKO5Zm7KLVJ2KCqbjYmK68acYuWmdF6HJpxi50VtHISTN20aAankyasQuP\nV7DciTgHOuxFhM888wz++c9/aqNqcnGKyboLL7wQojT37ds3WNsZTwIkQAIkQAIkQAIkQAKd\ngkDYCrS8yjrppJM0hfnwww9HrF8ZdArqbAQJkAAJkAAJkAAJkIBhCYStQMvoMwMJkAAJkAAJ\nkAAJkAAJdFUCYSvQAurjjz/Go48+ihUrVqCkpCQgu6qqqoDxjIw+gaqaYry68AF8jT+0wg4x\n7Yoz9rocaanhu8GWBQK3bLgfXyoHJ+IxLt+Wi+uUZYd9s/aKqCEPbHoKMwv+i0blsFncNR+R\ncxBuH3x1S1lqwUvqk4/CvH275gMvTS0iqT/lr3CN3rVlPoPv1bnq8NKOtyHOY1zKvvVfsvfF\neb3+igxrekQt+7j4C7xbNBslynGKLAScrhb+RWo1Y2n1Sryw/Q2sW7YJuZYemNbz+Ihdaofa\nmIWVv+FlxWND/Wb0s/fBmfknq/Nsz1APZz4SIAESIAES0Ah88MEHmq7as2dP3HnnnVGhErYC\n/cMPP+CEE07QVsXuvvvumDAh/FX+UWkJhWoEqqqLMG3xeSiwN6DR0mTLboPrR3z687l4be+X\n1Yrs7LBIHfP7WdjmKGg+ZotjB/6x6lrcMehqHNXj0Ob4UDb+sfIazK9c1JxV3DXPLvkCK6rX\n4J2xzzbFK2sV6bfcqNzouTTTexJpUotWU159CXUnngLX+M7hkU6U5zOWX4LNDVshbrclbC7Y\nhk9Lv1aut59EpjW81dT3bHwU7xZ+rIg2WfvY1rBDe+h5Zpf7sHtGeA8e35TNxxVrbtGcqYhD\nlY3YgsXKG+CM3mfigj5naHXV+9+s4s9x8/r7lNgmFy5igWWBOleuHXAJTsk7Ru/iKI8ESIAE\nSCDGBL4r/RGLK5cg2ZyMg3MmYlhadJzwLVq0SJtqfPLJJ0P01GiFsBXojz76SDMns3z5cowY\nYSyzYtGCmEhyX1x0PwqSlfJs3mkIWhTpLfY6vK5GpacfeFvI1X19x/stlGffA2/f8GBYCnSB\ncg/tqzz7ylrTsAEy+ij2jJNfe7mF8iz5xIa1tCblw/dQ3UkU6NcLPmihPEs7xfxcUWMJntn2\nGq7s/3eJCiksr1mFtwtn/al6Nh2ifDYqaG7ctP5ezBr7SkhyJJN4e7xJKbJubex/52Gy//S2\nV3C0emjqbc/fmaDDVo2rFndueKhF/UWsqNL3bXoCk7v/BWIrmoEESIAESMB4BBzuRly49Cr8\nWPGL8jGgeXbAQxuUQYqB0zGj/1m6N2jp0qXa+ryZM2dG1f132I5U1q9fj/3224/Ks+5dro/A\neWrahq/y7JUqSvSX7qXe3ZC+P1OjocGCeKXb3lAYLNkv/uXtb/vF+Ua8tOMtbdeybq1vdPO2\nKNHK4CTU01tznJE3ZNqGd+TZtx2iRH9d9oNvVLvb8ysWKScqSQHzyUhuoaM4YFqgyDW161Hl\nqg6UBJvJpkaFFwdM60jkkuo/1Li56tsAQW61v1Q1mckMkMwoEiABEiCBBCfw+MYX8HPFr5rH\nXPndcyj9QQZIHtrwLH4u/1XX2r///vt4/vnntYHeGTNmYP78+brK9xUWtgIt9p1FiWbo/AR2\njmF3vK1uT9vS2knueAU6sYSmSQ/BG9heevAjmUICJEACJEACHSPw7o7ZAQeMZIDkw4JPOia8\n1dH9+vXDwIEDIWaWx48fjx49oufJNmwFWmw+S8UuueQSNDQ0tKo6d+NNYJJnBJJc2nhti6pI\n3MHm0S3i2ts5TL06DxZkNLKX8hwXamjPo9zZ+adoolyDBgcUqanfZnW6JpgnooCVDSHyoOyJ\nfq635bAk5TJbFhOGE2ShXaOnMeAhfWz56KkWfoYahqYOQoYlLWB2eeuwT6b+88nGpo9Uy0kD\n34rcapRi94wxAevDSBIgARIggcQnUOkM/FZTpgYWOUp0bcDee++NAw88EOIBcvr06Zq3bF0L\n8BEW+FfLJ8N2ZQlh3LhxzZ9JkyZpbk0fe+wxzUXo4MGDm9N88/mI4GYMCZy311XIc9hbKNGi\nPPdpSMbpyhJHOOH0/JPQyxZYSb5BWeIIJ4gSt0/mHgEPGWwfgPFZTYpZ/ZnnQE1aUmrTzuDd\nrjv+hJ2RBt86I/9E9LX3aqFEi/LcQ7nNDneh3ui0XXBy7lGaVRMvFrNSSK1K3m2D/+WNCunb\narLgFuUCXI6X0QFvkP0Zvc9AH1VnvUOaJVVZdrlUK29nieo0UDFX9vs75z96wpiEAABAAElE\nQVTrDZzySIAESCCGBIalDQpYmk1NPRyXGd7AXkBBcYpsdxGh+HC32+0tqte/f3/IhyHxCGSk\n5+LNPV7AS4v+g2+wQlOBDjaNxll7/19EZuxmj3kVN224V1l0+B6NaiFAnq0Hbhj4T+wXgRm7\np3b5N+7b+KRa8PaRMmInZuzMmNJ9Eu4acu1OkGqEufrGW5H61OMwF+zQ6u+xKzN2JysLHGPG\n7cxn8K0USwpeG/U4Xtr+lmYtQ57ED8iegPN7nRa2BQ5BIaYFx6SPUpY4ZjWbsbtAKbwyohxu\nOKjbfnh55MN4bvvrWN+wGbnWHJyWdzwO6X5AuKJCzn9sj8PUw1pPvKh4bKrfgr7JvXGWMmO3\nX9beIctgRhIgARIggcQjcOWgv+P83/9P/crtXOsigzLyOzitt3EHxkweFRIPtz41Ki8v11yO\nRyotOzsbNTU1aGwM/Ho8UrmxOi4vLw/SvUVFRbEqUtdyZKpQSkoKKioqdJUbK2Hp6enaSuDS\n0lLDTnfKzc1FcXGxdh7Fipte5ZjVmwyxAVqvzCCWlZXpJTamclJTUyGDGHIfMmKQe6hcwwUF\nBWoN8M4fTyO1Ra4BI99Dc3JyIH4ZqqsDv0ZP9L7IysrSfscdyj+AEYOcP3Ivkmsg2qFXL/3f\nELZV53D0oy9L/odbV9/fvKh9XMZo3LPL9RiUGtpgrNwLRScIJTz33HO49dZbsXnz5lCyR5yn\n3RHoiCXzQBIgARIgARIgARIggS5P4JCc/SGfgoZiZQfahqwk45smpQLd5U9rAiABEiABEiAB\nEiCB6BPoaY+eVYzo175lCe0uImyZnXskQAIkQAIkQAIkQAIkkJgEzj///KhP35CWcwQ6Qfrf\nsnYN7J98rC2c8ySnoFF53HMcfGhEZtveK/gYd216WE3Xb5reLpP1bx10pfIiNzn81oob7Ref\ng2XTRuUaTlkUVnOQHEcchcZ9J4YvSx0xt2Se5mlPXE3n2nLUQrFT/Fw1l21fg4wnn0C6w6Q5\npk5Wphn+2G8YBh1zYURlhnLQTxWLcdGq67XFjd784rr6wj5neXdD/pY585OWnIRad13zMQPs\nffHh2Beb92VjRc0azWX29j9dpecm5eDfQ65PCLNt89Si0Se2vowtDdvQzZqN03uegGk9T9Tm\n43obIaaJLlp5LZbVrlRnmgdp5lRc0W8GTsw70pslrO+Hl32DdyteQ61lO1JceTg2cxr+tau6\nBiIIm4qT8P7CTGxUPmTsSXbsOTADx+5RrbY77ZKPCCjxkFgRWLndhv8uysDWsiSk2tyYuEst\njhhbDYtBhrAKKix47+dMrN5h0+q824A6HL9nFdKTeT3F6hxiOYlHwHKLColXLX1qJIuHnE5n\nxMKSk5O1BYTRXvxi+WO5pqSaKitgUgttTI4GTWE1K6XVufueYdV/TvEXuGXjf1qZgfNgXvn3\nGJEyBANTQpuwrxWq6pJ2560wlxRr1jCUHqt5ArSuXAGP1Qr3wPAsPLy6/V3cvfERlDrLlWLs\nQqXyeDe/ciGqnTXY90+rHnXVZci/7wGlQIkRtaY/+Y3pubkUK2vWotsI/a0yrK3ZgLNWXNpi\nhbA0dVHVEvnSXIxrGyH+23vx4X5G4ytclXi7YBbO7nWqJmVj/VacuuyCFl7/ROH+b/Gn2D9r\nvGbtJMTidM/2ftEc3LjuXpQ4yzTX3tWuGvxU9St2NBY126h2up049NdTsdWxo7l8sUX9bcUC\nzY70WGURJJxw9eL38F7Dw3BYyuAxudBoqcSyxh+xbBtwRJ+x4YjC+qIk3D8nByXVFjjdJjQ4\nTdhcmoSlW+3Yb1gdzNqJHJbIuGVOSkrSHlqMupBZ7qHSBllsZNT16mJPtra2NuJz4PfNdjz+\nRXeU11rg9sj5aMa6Qpt2no4fUh+x3FAOtCirRrL4ShbgRboIr7DSgrtn9UBBhVVdT2Y0qnvz\ntvIkLFqfol1PVksoNYk8j5xD8jvuMqgXWjl/YrUQOCMjI3LQERwp96Vo60feasl9RM7nRAoG\nef5NJGT61yX5g3ehzKFoSqpXukndLKxrVsOyepU3KqTvm9f/J2i+a9beFTQtUILt809hUg8h\nvvqGd9v+2dxAhwSNq1JK8qNblXtNHzM2ktnpceG1gvcgI9ISqp67VyvP1waxd3v0/MBuvrUD\nO/Bv+qorgx79zLZXg6YFSrh53f0tHl5885S5yrGpVmmEKly/9m6VL/DozfXr7vE9LKbbDW4H\n7tv0hN/DhLgY/7DoE6yt26DV55Etz7cYYfet5MNbnvPdbXd7a3UlPnM+CyjF2Td4TE5853kF\nq8vDM7T/1oJMpaioFyY+Z65LKdLb1Ojfz+tSfIvgNglEncAb87PUw4PcOb13TzUOoc7HFdvs\n6hOaVYGoV7KNAj5YmAGnUppF+fcGqb88EHzzR6o3it8k0OUIUIGOc5eblIk2c2Vl4Foo81WW\n9esCpwWJFfvKwUIDwjMDZF21MqAo7adAjU5DjUyHGv6oXRVEXQTEq+Gv1cs1UflFDep7543a\nK1+UaDlZnfWRjwR5ZbX+LnMGN5MXWMVtLWHnvkx9aCs8slUpiiqsrlsfNNuWhu1B06KdsLp2\nPRxKiQ4U7KqfFlf9riX9WLk4UBYtrlEp28WO0qDprRO+2bFWPUAGHlkwe2yYVxD6Q6SclptK\nklQR/ueQS6WtUq+gGUggVgTKa8yoUIpmoKBu71hdkPjn4+od9hbKs7ctokQvVw8BDCTQVQlQ\ngY5zz8tUiKBB7rDqtUW8gqeNsjXFspWDnbbqaTfb1SiM0mACBI8a77Qrj0QSXNoZGVxttSbr\nP+LhHeEOULWwo8T7X1shy5qlJYvHv2BB5qzHK4h5oWAj4xIv/SjBpvK1FZL/zNdWHm9aikXJ\nMgU7NzxIaacsrxz5lksm2BQNSbNZgp9bvnK4TQJ6ELC2cb6ZTB4ktZGuR/l6yGirDbye9CBM\nGUYlEL9faqMS07vean6Uq09fNe9T/bq3Dmrel3NUeG4uM83praU073dXi8HCCY3jJwTMLiqI\nR5Tn9NDnW41KHY4Ma+C6iQI7PnN3raxNQwObuBHlrcEcHeVncMqAgO2UyKQw19le2PusoLIk\n4Zq+F2np3jnfgTKPTR8ZKDomcUNSBiIvKXAfqFmIzR4oj+9xeND6ZFoykG5NC5reOmFyn2Gw\nuANPrVDvYHBkv9DnU8tlNKZfvVKiA58ruw2I7pzT1m3jftcmIIvs+uc41IOd//ko0yLG9pM3\nbokd9hhYpxYO+tffotq05yBeT4nde6xdNAlQgY4m3RBl1089TZkKUCO0f06QF2VaPo4ph8Pd\nMz9EKU3Z3hj9ZND8b40MnhboIOcee8LVf4A29cJ7+/R+151xTqBDgsYlma24e/D1SFIjtFal\nFEkQV97yd9vgq5qV6wFnX4dqq6jLTX+ST7YkbDjtaO1b738zRzypVPgADzCqoKd3uS+s4k7N\nPwbZlsAG4vfN2FNbUCUCbx/0L22xXWvhySY7/jPsltbRMduXxS73DLlBm1bjHU2XPhI+Nwz4\nJ3okddfqclLeURiVOsyvXpLvoWG3+sW3FZGuLLtc3uPGpmkcnj9H8GVKh8eMf3S7HjnKKk04\nYeqESmSkuGFt/tH3aAr1xGG1GNE78PSUcOQzLwmEQ+DsAyqQrKy/eJVQdXdXV4kHx+xehd7d\ngk+5C6eMaOY9Zvdq9Mhw+l1Po/o2YPyQnZaGolkHyk5MArKoTxb3xeIjv02JFujKu40eiaUr\nb5NytZr0w/9g2bwJHrWStnGv8XANGdpG7YInlTWW4/RlFyurCYVapj62fLw6+glkBxkBDi6p\nKSXp669gWzAfaKiHO78X6k88GZ7cvPYOC5i+sX4L3ir4L9bWb0Q/e2/NhN0uqUP88m555lYM\n2lABecNZnGFG/Vl/Q4++0RuZlVXe01b8A2vUIjlR2HOs3fDsiPsxKByrJT6tuHTlDfhf5U+a\nLHlQmKFGpqf3Od0nB7S5xndteAT/q2jKJ6PwNyolNdWq/zSVFgWHsCOLOt8s+BAbnFuQa+6O\nE3schV3Td/E78umtryrLIXNR46qD9OONA/+Jfsl9/PKFErGwaCueXDcb252bkG/th/MHHIX9\n8vuFcqhfnjplAvHblWnYWJqBlCQXxvWtwNj+iT/a17ohdOXdmkjs9/Vw5V1ZZ8bXasHdhiIb\nMlNc2FdZg9mlV/Qf5sT1sR6uvB1Kz//fqlQsV5ZsZNrJHgPrtdHnYNOl9OwluvIOnWasXXmH\nXjN9cooln0RSpKlAt9GvsVSg26hGxEl5eXma6aiioqKIZcTzQLn5p6SkoEIttDRiSE9Ph5gV\nKi0tRUOD8ZQ3YS7KQ3FxsSFNkJnNZvTs2RNizrKsrMyIp5Bmgkx+MMQMnBGD3EPlGi4oKIiZ\nuSu9OemhQOtdp1Dl6aVAh1peNPJRgQ6daqwV6FiasbOq9WKJZsau7RVPofcbc5IACZAACZAA\nCZAACXQRAmJbPFY26uVtXKIp0JwD3UVOdDaTBEiABEiABEiABEhAHwJUoPXhqJ+UOrUow6Ae\nl/SD8Kek8nK410XHeUrQuorHMeURUo/gUk5iyh0V7U9/KFM2k0vDcxaiR/3akyHzzcobKyHt\niFVQRaK2QZw2xKpEltPZCIgzIPGeyaA/gfpGExoTf92j/g2nRBIIQIBTOAJAiUeUddFC2D+Z\nDXN1tTI+YIZz7G6oP/4EIEwLBPGou95lWn77BSlvvt4sVozfOQcNQv2MJhNwzQk6bpjXrkHK\nqy8rz4t1aoW8MgChVhc3HHE0Gvc/IOxS5Af8gc1PK899c+HwOJBpzVCLCM/EtJ6qP32C9fvv\nkDz7I1VYk8880RkbDpmCxslTfHLFZ/O1He9BvDBWKUVEHN2ckHs4Lu83Q9mBbtv+c6S1FYX5\nk9/S8cXSNM3Vsc3qxqSRNcpSQbWyXhCpVB7XlQhsayjA7RsewI+Vv2iLd/vb++C6gZdin8w9\nuhKGqLR1TUES3vghCzsqxF6/B8N6OnD6xArkZcbu4ToqDaNQEugAAf40dQCeXocm/fwTkt97\nW1OeRaZJuVOz/v4bUp95CmrljV7FGEPOju3NyrPXaI18W9evR/JzikcUgqmoEKnPPtWsPGtF\nqLcA9tn/hfWnH8Mu8YrVN+ODojma8iwHVzqr8KBSqJ/d9lqzLMvS35E867/NyrM3wf7lZ7DO\n/8G7G5dvsawh7rhFeZYgDwHvq/ZcuebWqNXnnR8zMXdJuqY8a2U6zfhyWTpe/77J8UzUCqbg\nTkFArrEzl1+Mnyt/05RnadSmhq34x8prm71ndoqGxqERG4uT8NDcHKU8e8fbTFhbaMO9s3ug\nSlkXYSCBrkqAZ3+8e14pyPY5szSl2bcqJqXAmQt2wPpHk4tr37TOvJ32QpOra6/y7NtW65o1\nvru6bSe/944my7dM77b941lhlbNEuSRfoNxciztr3+BU0yCe3fY66pS5NwnJ776tfXvLkR3v\ndvLHalQ6TqHGVYvntr8BZ6v6S3t+qFiIpdUrdK9Zea0Z36xIhbgG9g2yv2BtCooqg3tt9M3P\n7a5L4O3CWdoDn0s5+/ENbuXl9MHNz/hGcTtMAh8uzJCXZCrsvD7dHpN62DXhq+VpYUpjdhLo\nPAS8j5Sdp0U+LRGzJ926dfOJCW9TjIOLKSyZCxqt4FEmzlwy7zlAkNtVanERLBG2wVv3jjAI\nUK2oRjmrqgPK9966M5RJLGtycsA8kUY6CwsCHiplmpTt63D4bajaotxcJ6He7W+2zqVcmRcl\nlWFcVm841VSRQEFrp7JJHU6ZgeREGrehfKuafxz4rYe4717v2YIDuu0bqfiAx60vMyvbskBj\nS91Hy2tTd6iS+mwMHxC4TgEFtoqU6zhePFtVJexd76pzMUdmxCDsJYgpsmiGZetXqYfWxoBF\nrKpd26H+l/uoUc8fqbsEMSXo7YuAkNqI3FRqU6P63jvwzozygLuhJFWxia4aIb/j8nEb9G2s\n9IGYojTqObSzx7nVmkB0z/zWpcV436VGceuCKKehVCUzMxO1alGZONmIWlCyRR30vz2pt/sm\nMxotVjiVk5VIgvzoivJfFeHxkZTZ0WOSxTK/UqQC8lDC6xvVj6R8dAz2JJsqrzZwmerGFw4/\nmzMp6AOXjIZZGyyavGTVt6Ygiqo8roVTpo4oYHWYVS0DK6seVV+7K0n3upncVjX6HNjNvEtV\nxeyuVWWG3+fyo5WsHrbk+o0Xz472jSg+EjpyH+toHTpyvNxD5SFA7FhHUwHKRJq6fsW/n/9g\nR6oltUP937179w4d3xF+HT1WlGb5HRA79PJbFklIVjLqHIHeAnmQmtQYdTZiT1/qHytzaZEw\nausYUZxFiY7FPUjudwyxI9CpFWhRHjui/MoNX5TwjshotyvVzck1dBgs69b6TeOAy4mGUaPh\niVCBl/Z3lEG79dc5g2PcbrAtXuQnVftZVDehaPSFae/xsH/xWcAyxZV5OGXul7FXk6ekVr/j\n4g5bvBr2TuqpyXMNHAjL+nV+SrscJu7bwynTr+IdiOib1AuDk/tjg/IY2VqRFoV03/Q9da9b\nP+XOWFxvV6ipHC0fnTzKBbIbg3LrVJnhN8o7+ma0a8C3pXL/Ee7xOh986xLJtldplvp7tyOR\n094xR3Q/BLOLP/dTn5NMVhydc2iH+Bn5/PFeA8I+0nNo36G1+PT3dL8pVuq0VK68ayKW216f\netOFf9R/h72FRfE7Uv5RrBJFd5AA50B3EKAeh9ef+ld41CtOj3pNJQqUR406e9Tdqf7kqfCo\n0Y+uFBynngZPSmoThz8b7tVFqy+8OCooGg+dAlefPs1lan2gSvLYk1F37vlhlSkWN+4dciPk\nh1usV0iQ7ywVf/+Qm5pl1c34BzzyhkDF+H7Uu0rUXnRpc754bNw/9GatvjZT0+t3+Zb23Kfq\nnxGhO/i22iFWNi48uEwpyx5YzU00rMpdsM3q0eJlegcDCbRFYELWHjgnf6o2Cq1e+KvHVROs\n6pwdlTocF/U9t61DmdYOgcPHVmNonkNZwxE3yh5Y1EfG+v8yogbj+vtPVWtHHJO7KIE65bl+\n1iI77vkwDQ9+nIYfVsnbWmPDoCvvNvovpq681bSEpF8Xw7x9GzypaWgctzs8yo1yR4KRXXnb\nPvoANmXaTyySuHJyUCvKc5RfT4nFjaSFP8KkDJ06hw2H4/Aj1fyByJ4xdzQU4ovq71DmqUAf\ncz4Oy5qENPUquXWwf/AerMuWKi1avS0ZPhwNU6e1zhKXfbGj+3HxF9hhKkamKw1HdD8Y+fa8\nqNalut6EH9emorjKgpx0F/YZUqeNTEdaqIy+0ZV3pPT0OS7Wrrxlkeu88u+1NQi7p4/Bwd0m\nwqymS3Uk0JW3dnvCks12rNphR5JSpMf0r8eQvPCnVUXSD3TlHTq1WLvylqlZoUytqawz4bZ3\nM9RbRvU2TVssrh7E1GW524BGXHSYmj4ZaM5mq2aLJ8JEWwtCBbpVJ/nuxlSB9i1Yp20jK9CC\nQC4WmQNaUVGhE5HYipG5exkZGShVC0VlDp8RgygPxcXFQed1J3KbqEDHv3dirUBHo8VUoKNB\nNXSZVKBDZ5WoCvSzX6bgxzU2v2lA8lbjgkNqMX5o+w9j4SjQjzzyCIarAanPPvsMBQUFuOmm\nm7DLLruEDjLEnB17NA+xEGYjARIgARIgARIgARLoegQWr/dXnoWCLBJfuK5pqqCeVObOnYsL\nLrgACxcuRLVyTieDWdEInXoRYTSAUSYJkAAJkAAJkAAJkEBoBERRDhzUlA5XCPM3Ah/cZqy8\nvZ43b55mBajNjB1I5Ah0B+Dx0MgIiNewFTVrUNpY3raAkhJ4tmxWfrwjMMHQSvKSquV4fusb\nWKnKbSss2PQlvlr7kTKXF9hOc1vHtk4rdpTi94o/UO1s8ujXOj0a+8trVuHTknkodZRFQ7yh\nZIpd6fXKxHdhRXRu0IaCwcqSAAnEnIAskttaorxiFinrSgZfMNcReLv0dqq1CP4AZNH46L7t\nT9+IpOw999wzqsqz1Ikj0JH0DI+JiECD24G7Nz6Cj4o/U2u4my6mg7In4rbBVyHdstOjlXhg\nTH79VViUgxPJla5M/TUceTQa950Ydrkb6zZj6rIL0aDcUUt4bNuLSDWn4P0xz6OnbecizY9W\nvo7byl+CSx4ppdCSR3GqeQKu3et2OSysUNZYgevX3YP5lWoRpDrSpGwCnJp3LP6v/4XKMkB0\nTEqI4nzBiitR496p+O+WNhrPj3hAs0EaVgM6Qeav/0jFBwsz/3TOYkev7B44f1K5+u74w1gn\nwMMmkAAJRJnAyu02vPRtNir+dHeephZhn7l/Bcb2M+Z6mI7gOm1iHW55J0N7ihAvlhJk/nPP\nbDcOHNn029wR+YGOzVHGB6IdOAIdbcKU30zg1vX3Y07Jl83KsyR8V/EjLl99c3Me5XEBqU8+\nDnNRYXOcSVkosc/6L6wB7EM3ZwqycdLS6c3KszdLrVIyj1tyjncXS7b/iJsrlPLsHahs0nrx\ntnsBnv3tweZ8oWyIzdKLVl2Ln6t+1bKLLi72lN8rmo37Nz0Rioiw89S56nHW8ktbKM8i5Nea\nZZix8l9hyzP6AQvWpODdn0R59nYosKPCiv/MyUFNw844o7eT9ScBEkhMAtvKrHj0s+5/Ks9N\nPyg1yonW0191w7pC/ef8JiaFnbXq3c2NW0+pwrgBTqTa3MhKdePgXRtw/QlVSDLwMC4V6J19\nzK0oEhCzbp+UzlPudluOADrV/uKq37GsZqVWuu3nH5WnQYfy0ieq584g5uzsn32yMyKErZe2\nv6WcGgbwD62OlRHpuWqqg4R/r39Y+9aGi5u2mv+/UDe3eTuUjZ+qfsHqunWQdvkGaffbhbMg\n01f0Do9ueSFoOxdW/4ZaZ2QeyPSuZ6zkfbQ4Q70ubakoe9S+w2lStkf9TQnGql4shwRIoGsQ\n+PR37xvV1vchYM6v0VnQluhkeykl+tIjavD43yrx0NmVmDaxHilNrhISvepB60cFOigaJuhJ\nYH39JuWMI/CTt82chHV1m7TixA62SXlfCxTM5WrOtFKkQw0/Vi5uM+u35Qu09M0mNV+45X2u\n6TgVV28OvTw5SNohjhwCBXE1vFF5+NM7rKxte1730j8fTvQuNxHlyWKV8trA02TE/uhWNTLE\nQAIkQALRJLClNMnvIb6pPLkHBf4djGZ9KDs6BPhrEh2ulNqKQI+kHL9RWW8Wp8eFHklNHhfd\nWdnwKAcYMuLcOnjEkUoYjk362/tgAYIr0UOSB2hFZLtTUOVRI8MBlGjlEC+sIO1o7QLbK0Di\nhYPeIc/Wo02RA1L6tpnemRLFOL+4/65v9B8bkDl33dL8z6vO1H62hQRIIP4EuqW6sL1c1Cv/\nH5UslcYQXQJz5syJbgF/Svf/lYlJsSykqxEYljoIQ1MGwaL+fIOMyna3ZmOvjHFatHPPvZrc\nXvlmUtseiwWOffZtFdv27iX9preZQVz/Sjg759jA+ZTyfIBnWOC0ILH7Z+2NFLNS9FsFWTy4\nh/KM1isK3vxm9D6zVWk7d3OVwu67WHJnSufd2n94rbZApXULZRX8PkO61nSW1gy4TwIkEH0C\nB44M7F1PLFFMUmkMnYMAFejO0Y+GaMVDw27TFMgkkxV2kw02NaVDlOfHh9+l3MM2vQxx98xH\n/dTT1Ci0BR5lfQPq41F+Pp3Dd4Fj8mFhtTPdkoKr+ysX4AHCXYOubTZxc9KIczDFM7LJ+oaM\nOP/56deYgfv2eijA0cGjUlSZjw2/G5mWDNU+G5LNyvWtam9/e1/8e+gNwQ/sQMrAlH64vO8F\nfhJEkX9pxJ/zu/1SO2/EsXtUYWTvBuUe1gObOq1sVnEb68E5B5QjP5ujP52359kyEkgMAmJp\n46hx1Wp4SO5BTR/ZnjSyBhOG7rSUlBi1ZS0iJUBX3m2QoyvvNuBEmNToduJ/FT9hc8NW9LLl\n4YDsCZqS2VqcqaoS9tWrYXO7UJ3XE+7+A1pnCXm/SNljvn3DA9jasB0Dk/vhlkFXIsPqv5BD\nrHG8vekt1HsacWjOJBw+7KSQy2idsdZVhx/rf0EFqpCPXOydOg6WKJmw85a9rb4AL2x/A8XO\nUoxL2xVn55/SYRN2RnblvaHYjqK67urhrBGDupVqK7+9rIzyLe5rTeoBskZZpzFioCvv+Paa\nzWaDmPOqqqrSPLLFtzaRlW5kV96FlRZsrpRpeyb0Ti+JuhnNRHXlHVnPtzwqHFfeLY+M3h4V\n6DbYUoFuA04MkuTmL96EKioqYlCa/kWI+9CMjAyUlpaiocGYtj+NrECb1Xz5nj17or6+HmVl\nxnQsQwVa/+syXIlyDRQVKU8YBgxUoOPfaXL+yL2ooEB5dYpyoAIdZcCtxHMKRysg3CUBEiAB\nEiABEiABEiCBtghQgW6LDtNIgARIgARIgARIgARIoBUBmrFrBYS7CULA6YRp4wZ4PG6YuufA\nk5kV9YqJR79fq5fBoVyOj0kfie5J2VEvkwW0JLCqdh22NGxDb1s+RqQNbZkY5l6Bowi/bF8G\nm8eGIZ5+sJk7YLXf0QDLhg2AslEu8/E9aV5HCWFWKgrZZZ6leD7LTHFjYG4jzP6Ws6JQKkWG\nS6C4yoItpVakJ7sxSPWTmFxkIAEjE7BardoajVi0QabBJFqgAp1oPcL6wLJ2DZJffwUmNW/Y\nYzIjzeWEY/8D4DjyGLUWIzrawddlP+D6dfcoT4mNarmHsvqhbFNf2OdMTO99BnskBgTKGit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oTZs20WeffUY2m40mTZpEPXv2jOPe2NhI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\nAiAAAiAAAiAAAiCQF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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XnllbR27Vq7NNgBARAAARAAARAAARAA\ngUARCIkRaIvFQo888giFhTnbOX7iiSfojDPOoDlz5kjH582bR88//zwtXLjQZfpAgUM5IAAC\nIAACIAACIAACHZNASIxAL1iwQFKGp06datcLpaWltGPHDmkE2qpcn3baaZSfn0/bt2+3S4sd\nEAABEAABEAABEAABEAgEgaCPQO/atYtYgX7nnXfoww8/tGvzkSNHpP0uXbq0xCcnJ1N4eDgV\nFRXRoEGDWuLr6upo8+bNLfu8kZqaSgkJCXZxcnY0Gg3p9XrVjnRbXzqYlxqDTqcj7gO11l+r\nbTYvyO1oanJ2gqOGPuFziPmrsf7W81/t55C1D9RwvjjWkdlz4PuoGs8hrrua+fO9hwPfi9R6\nH+VzyNoOqTEq+8d6H1Irf5XhDmh1g6pANzQ0SFM3brjhBurcubNTwwsKCigiIkL6sz0YFxdH\n5eXltlF06NAhuvzyy+3iHnjgAbrkkkvs4uTucPlqD/zSoeYQGRmp5upTfHy8quuflJSk6vrz\ng0vt10BMTIyq+0Dt55Daz5/o6GjiP7UGtT8DmLvazyG1njv+rHdQFehXX32VevToQaeccorL\nNvKohclkcjpmNpudbgZ8cl577bV2afv27Us1NTV2cXJ2WHk2Go3ChbZFTraQSWu9YfLovBoD\njzzwOcAvWmoMXHc+h+rr64nPWTUGPofUev4w79jYWOkeYjAY1IhfGnnjESy+D6kxsOLDo4e1\ntbWqHYFW8zXAI89RUVHU2Ngo/anxHGoPz2G+hvka8Hfg+x1C4AgETYFmqxtfffUVDRkyhO66\n6y6pxbm5udJFzvv33HMPpaSkSIoHP8CtyiAnrKqqooyMDDtKnPbWW2+1i2OTeGz6ztfANx8u\nW60PL75x8mfTtjDwlZ0S+ayfvNRaf76ZWRVotb4EsALEL6Fq/PzOL2BWBVqt5xDf9wL18FXi\nmnWUwfdQVqD5HFLrQARfA2o9f/geys8Bvv+0ZTDJsV8Duc/XMQ9C8EuAGgOfP9yGQJxDUKAD\ne4YETYHmi/qqq66ya21ZWZn0ljZw4EBp5LFr167SzXfbtm00ZswYKS0vKuQbse28aDsh2AEB\nEAABEAABEAABEAABPxIImgLN80Id5ywXFxcT/9nGT58+nd577z0aMGCApEzzYsOZM2dKCwT9\nyAWiQQAEQAAEQAAEQAAEQMAlgZAwY+eyZkcjr7vuOmn18Omnn05nnnmmpETfdNNNnrLgGAiA\nAAiAAAiAAAiAAAj4jUDQRqBdtej22293ik5MTKQXXnhBmvfM8+nUvhrdqYGIAAEQAAEQAAEQ\nAAEQUBWBkFKgPZFTuykwT23DMRAAARAAARAAARAAAfUQCPkpHOpBiZqCAAiAAAiAAAiAAAh0\nBAJQoDtCL6ONIAACIAACIAACIAACihGAAq0YSggCARAAARAAARAAARDoCASgQHeEXkYbQQAE\nQAAEQAAEQAAEFCMABVoxlBAEAiAAAiAAAiAAAiDQEQhAge4IvYw2ggAIgAAIgAAIgAAIKEYA\nCrRiKCEIBEAABEAABEAABECgIxCAAt0RehltBAEQAAEQAAEQAAEQUIwAFGjFUEIQCIAACIAA\nCIAACIBARyAABboj9DLaCAIgAAIgAAIgAAIgoBgBKNCKoYQgEAABEAABEAABEACBjkAACnRH\n6GW0EQRAAARAAARAAARAQDECUKAVQwlBIAACIAACIAACIAACHYEAFOiO0MtoIwiAAAiAAAiA\nAAiAgGIEoEArhhKCQAAEQAAEQAAEQAAEOgIBKNAdoZfRRhAAARAAARAAARAAAcUIQIFWDCUE\ngQAIgAAIgAAIgAAIdAQCUKA7Qi+jjSAAAiAAAiAAAiAAAooRgAKtGEoIAgEQAAEQAAEQAAEQ\n6AgEoEB3hF5GG0EABEAABEAABEAABBQjAAVaMZQQBAIgAAIgAAIgAAIg0BEIQIHuCL2MNoIA\nCIAACIAACIAACChGAAq0YighCARAAARAAARAAARAoCMQgALdEXoZbQQBEAABEAABEAABEFCM\ngE4xSRDUJgKNJgut2FpMuYU1lBCtpxMGpVJmUlSbZCIzCIAACIAACIAACICA8gSgQCvPVLbE\n0upGuuX9v6m0uoFMlibSacLog18P0O1nZNO0oemy5SEDCIAACIAACIAACICA/whgCof/2Hot\n+ZlFu6i4qoGM5iZqaiLpV+jR9Myi3XSkwuC1HCQEARAAARAAARAAARDwPwEo0P5n7LGE2gYT\nrd9bQWbWmB2CTquh33eWOMRiFwRAAARAAARAAARAIJgEoEAHk74ou9ZgdlsDi1Cqq+tNbo/j\nAAiAAAiAAAiAAAiAQOAJQIEOPHO7ElPiwykmUmsX17ITRtQ3I7ZlFxsgAAIgAAIgAAIgAALB\nJwAFOsh9oAkLo2tO6kVitoZd4IWEPVKiaUJ2sl08dkAABEAABEAABEAABIJLAFY4gstfKv2U\nkZ1JIxTmd5bvo8o6o1Cmw+i4ASl086w+0nYIVBFVAAEQAAEQAAEQAAEQOEoACnSInAozhqcT\n/1UJBToqQkt6xyHpEKknqgECIAACIAACIAACHZ0AFOgQOwPihRMVBBAAARAAARAAARAAgdAl\n4DDzNnQripqBAAiAAAiAAAiAAAiAQCgQgAIdCr2AOoAACIAACIAACIAACKiGAKZwhEhXHSyu\npReX5NCB4jqKjdTR7DEZdNa4riFSO1QDBEAABEAABEAABEDASgAKtJVEEH//2FNG9y/c1lKD\nKuE85fUf9tEfOeX05CVDWuKxAQIgAAIgAAIgAAIgEHwCmMIR/D6gx77Y4bIWG4SL79Vw5e2S\nDSJBAARAAARAAARAIFgEoEAHi/zRcg+X1ZPBaHFbi0XrC9wewwEQAAEQAAEQAAEQAIHAE4AC\nHXjmdiXWGkx2+447jR6Ua8e02AcBEAABEAABEAABEPA/ASjQ/mfssYTsLnEkvHm7DWP7Jrk9\nhgMgAAIgAAIgAAIgAAKBJwAFOvDMnUq8cGI3pziOiI/S0YWTXB9zmQGRIAACIAACIAACIAAC\nficABdrviFsv4IqpWXT1SVkUoWvuDh6RHtQtjj64eUzrmZECBEAABEAABEAABEAgoARgxi6g\nuN0Xdp4YheY/BBAAARAAARAAARAAgdAmgBHo0O4f1A4EQAAEQAAEQAAEQCDECECBDrEOQXVA\nAARAAARAAARAAARCmwAU6NDuH9QOBEAABEAABEAABEAgxAhgDnSIdAi78355aQ6VVjdSuFhM\nOGVQCt1yWnaI1A7VAAEQAAEQAAEQAAEQsBLACLSVRBB/v9tQQPcv3EZFlQ1ktjRRfaOZlm4s\npKteXxfEWqFoEAABEAABEAABEAABVwSgQLuiEuC4V5fmuizxYEm9UKThytslHESCAAiAAAiA\nAAiAQJAItOspHBqNhqKjo31Gq9PpKDIykvR6vc8yWsuYW1BNJjHq7C78ur2UzpnU291hj/Fh\nwqA0/7WFgccC/HxQq9US94Fa6289byIiIojbosbA509UVJQaqy6d+1xxZq/Wcyg8PFxir9b6\n8/XLgc+hpib39zkpUYj+09bnSDCbZb3v8L1IzecQP4et51IwefpSNt9DOaiVvy9t7ih52rUC\nzZ1oPXl97VDO31YZnspuXXbby2+9DE81DN4xa72tv8GrSdtLVnMb1Fp323rbbre9NwMnwVpv\n62/gSla2JNRfWZ7eSrNy51/rtrd5Qy0d6h9qPYL6tGsF2mKxUH19vc+9zG/tnN9oNPoso7WM\nneM1pNWESXOfXaU9YUAS1dbWujrUalxMTIw06uNr/lYL8HMCHn3jm6Za689155GThoYG6c/P\nuPwinkdN6urqVDl6yCOHcXFxZDabVXsO8aitmq8BvofyH59DfD9WY+BrQK33IL6H8nOgsbFR\ntW3gkWeDwSC1Qa3nT6Cu4fj4eDUiUm2dMQc6BLruhpmup2h0TYqkU0ZmhEANUQUQAAEQAAEQ\nAAEQAAErgXY9Am1tZKj/njYqg5Jj9fTK97lUVtNIeq2GThiYQred0S/Uq476gQAIgAAIgAAI\ngECHIwAFOkS6fEK/FOI/BBAAARAAARAAARAAgdAmgCkcod0/qB0IgAAIgAAIgAAIgECIEYAC\nHWIdguqAAAiAAAiAAAiAAAiENgEo0KHdP6gdCIAACIAACIAACIBAiBHAHOgQ6ZBN+yvo3eX7\naX9RLcVG6WjWiM500XHdSCcWFCKAAAiAAAiAAAiAAAiEDgEo0CHQF2t3l9KDn24nq0PChupG\nWvD7IdqZX02PXTQ4BGqIKoAACIAACIAACIAACFgJYHjTSiKIvy8uyWlRnq3VYPfeG/ZWiL9y\naxR+QQAEQAAEQAAEQAAEQoAAFOggd0JJVQOVihFnV0E4sqMtBytdHUIcCIAACIAACIAACIBA\nkAhAgQ4SeGux4Tr3XSA8fFO4TmtNil8QAAEQAAEQAAEQAIEQIOBeewuBynWEKsRH66lvRiyx\nsuwYjKYmGp+d5BiNfRAAARAAARAAARAAgSASgAIdRPjWou+a3Y+iwrXC4kazFs3/8vSNf0zp\nQT3TYqzJ8AsCIAACIAACIAACIBACBGCFIwQ6oXtqNM3992j6+q982nm4mpJiw2nG8HQanpUQ\nArVDFUAABEAABEAABEAABGwJQIG2pRHE7UShNF9xYlYQa4CiQQAEQAAEQAAEQAAEvCGAKRze\nUEIaEAABEAABEAABEAABEDhKAAo0TgUQAAEQAAEQAAEQAAEQkEEACrQMWK6SmoXDk+p6IzU1\nNbk6LDuuxmAilokAAiAAAiAAAiAAAiAQmgQwB9rHfmk0Weid5ftoyYYjxNsxEVq65PjudM74\nTGFBw4VNulbK+WlzIb390z4qrzWSVti0mzIolW6c2ZtiItFFraDDYRAAARAAARAAARAIKAGM\nQPuI+7EvdtC36wsk5ZlF1DaYae7P++mDXw/Ilvj9xiP0zKLdkvLMmXkE+tdtxXTH/M3CxTdG\no2UDRQYQAAEQAAEQAAEQ8CMBKNA+wM0pqKG1e8rIZLZXbk1C8V246hDVimkY3gZWkN8SI8+O\nszZY1v6iOlqzq9RbUUgHAiAAAiAAAiAAAiAQAAJQoH2AvLugWrjYdocujPYV1XottaSqkXje\ns7uwWyjrCCAAAiAAAiAAAiAAAqFDwJ0WGDo1DMGaxIp5yRbHIeOj9eTpF3zc28Bzp90FjZgL\nHSdDljs5iAcBEAABEAABEAABEFCOABRoH1iO6p3Y4nbbNjuvHcxMiqIsGe63eZHgyJ4J0sJB\nW1m8bTJb6LgBKY7R2AcBEAABEAABEAABEAgiASjQPsCPidDR/ecOJL02TPpjEbzNI8//PW+A\nbIl3zM6mlLhwO1li8JluOz2bOidEypaHDCAAAiAAAiAAAiAAAv4j4P1cA//VQZWSR4tR6Hk3\njqHlW4qouKqBuiZH0clD030yO5ccF0Hv/nu0JCv3SA0lxOglM3Zdk6NVyQaVBgEQAAEQAAEQ\nAIH2TAAKdBt6NyU+gi6Y1K0NEo5l5UWJp4zofCwCWyAAAiAAAiAAAiCgMgKFhYVkMpkoMzNT\nZTWXV11M4ZDHC6lBAARAAARAAARAAATcELj00kvpuOOOc3O0/URDgW4/fYmWgAAIgAAIgAAI\ngAAIBIAApnC0EfLmgxW07UAVTeiXJKxvxLZRGrLbEigorydzuZESIy1igSXe9WzZYBsEQAAE\nQAAEQCB4BKBA+8g+RzhTuXnu38QeAzm898sBYYVDS+/dOJo6RYX7KBXZmMB+4Yjm0S920sGS\nOglIhF5D10zrSaeP7gJAIAACIAACIAACIUKgqKiIFi9eTD///DP17NmT/vnPfzrVbOfOnbRg\nwQK68cYb6Y033qD9+/fT9OnTafv27XT88cfTtGnT7PLs3r2bPvroIzrnnHNo6NChdsdCaQcK\ntI+9ceO7m5zcb9cYzHT5y+vo6zsn+igV2arqjHTrvL+ptsHcAqPBaKHXluVStDAfeNKQtJZ4\nbIAACIAACIAACASHQElJCY0dO5bKyspo6tSptHz5cnr99dcpPj7erkK7du2ihx9+mHbs2EGf\nffYZaTQa0ul0tGzZMlqyZImTAv3KK69Icm644QY7OaG2g+/iPvTIGz/kOinPVjF1QvHjaR0I\nvhFYuvEIscLc1Dyw3yJE+JSh937e37KPDRAAARAAARAAgeARuPjii6miooLWrRMDh19/TWvW\nrKG77rpLGmF2VasVK1bQtm3biBVvVqh5tJrzsoJtDWy9Y+HChTRr1ixKSwvtATMo0NZek/G7\n9VCVx9SrdpR4PI6D7gnkFtaS0eygPR9NXiTsbbOrdAQQAAEQAAEQAIHgEaiqqqKffvqJrr76\nasrOzm6pyG233Ubdu3dv2bfd4LQDBw6kxMRESk9Pp8svv5zChAtnnq5hDd9//z0VFxfTFVdc\nYY0K2V8o0D50TXq8Z++AvTtjMaEPWKUsqfHhLt2a88GYCK3bY76Wh3wgAAIgAAIgAALyCGze\nvFl8KW5ymqOs1Wpp2LBhLoXZKtqcgOdMT5kyxU6Bnj9/PqWmptKpp57qUkYoRUKB9qE3bjil\nt9tcwgM3TR8GhyhuAbVyYPqwdOmidEymE67STx2V4RiNfRAAARAAARAAgQATKC0tlUqMjXUe\nMExKSnJZm+TkZKf4K6+8kvbu3UurV6+myspKWrRoEbEdab1e75Q21CKgQPvQI0mx4XTFlB4u\ncz5y4UCX8Yj0jkCP1Bi6Y3Y/0mnCKEJ4Z2QLHGKT2HX65W6YeycZqUAABEAABEAABJQgMHz4\ncEnMwYMHncTl5+c7xbmLOPvss6VFhzzv+YsvviCDwaCK6RvcHljhcNerrcRfdHx3mjI4lV5e\nmktFlQbKEorfbWdkU1S4tpWcONwaAba0MTwrgdbvqySjRUM9U/Q0sKv9qt7WZOA4CIAACIAA\nCICAfwj06NFDmsf8wQcf0Jw5c1oKYeV55cqV1Lmzd1/io6Oj6YILLqCvvvqK2HzdqFGjaMiQ\nIS3yQnkDCnQbeicjMYoev3hwGyQgqzsCyXHhdNroTIqKipI+67hLh3gQAAEQAAEQAIHAE3j7\n7bfpzDPPpIsuuohuv/124oWFvIjQbD5mhtabWvE0DpaVl5dHbMJOLQFTONTSU6gnCIAACIAA\nCIAACIQIgdNPP11SfDds2ECjR4+mk08+WRpB5hFlOWH8+PHUv39/ioiIkJRxOXmDmRYj0MGk\nj7JBAARAAARAAARAQKUEePSY/9i7YEpKCrlaVDh79myXxgFsm8xOVtQWoECrrce8rG+NwUS7\nthVIqbvGNwkTcKHT1c8u2kVbDlZRr/QYeuA814suG00W2pZXRibSUtdOGkqOi/Cy5UgGAiAA\nAiAAAiAQSAJZWVmBLC4kygodrSokcLSPSny3oYBe+z6XhIVyIuF3JCysiW6e1VeY10sPagPX\n7iqhBz499paZX26g6Y+spOtP7klnje/aUre/91fQI5/vIPbqqBEmOIzCDeHZ4zLpmmk9JaPr\nLQmxAQIgAAIgAAIgAAJBIIA50EGA7s8i1+WW00tLciRvfkYxisvKZ6OpiZ5dvJs2H6j0Z9Gt\nyrZVnm0Tv/7jPjIajVJUUWUD3fvxVqqqN5FJeB3kkWh26/3Nn/n05R+HbbNhGwRAAARAAARA\nAASCQgAKdFCw+6/QT1cfkhROxxJYCf1sTZ5jdMD23/5RjIh7CPcs2C4d/X7TEZepWJn+ZFXw\n6u+yUogEARAAARAAARDokASgQLezbj9cZnDborzSerfH/H1go5iW4SnklTTXjetoNAtt30Wo\nqDOSWSjSCCAAAiAAAiAAAiAQTAJQoINJ3w9ld0mKdCs1MynK7TF/HxjWPcFjEV1TmuvGdWS3\n3a5CQrSetOyWEAEEQAAEQAAEQAAEgkgACnQQ4fuj6AsmdpPWDjrK5vWE503IdIwO2P61M3p7\nLOvhi5qtcZwyIp1cqcjs2vv8iccWGnoUhoMgAAIgAAIgAAIg4EcCUKD9CDcYokf3TqSbTukj\njeKG6zTEf3oxonvraX1pmHCPHczwwHn9XRZ/9bQsitbrpWNpnSLp0YsGU2ykjlhpjhD1Z4X6\n9DEZdM744L0AuKw4IkEABEAABEAABDokAZixa4fdftqoDDphYAodrub3oybqGk+SQhrsph7X\nP5V+uD+VnvxyB20/XE0902LovrOzSX9UebbWb0TPBFp4yzjaWVBH5iYNdU3QUmo87EBb+eAX\nBEAABEAABEAguASgQAeXv99Kj4vS0+QeaZL3n+LiYr+V44vgu88e0Go2Hjkf3TuJoqKiqLIy\nuOb3Wq0sEoAACIAACIAACHQoAlCgO1R3o7EgAAIgAAIgAAIg0HYCTWwfN4AhjBdzhVAICQU6\nNzeX1q5dS5mZmTRu3Dhp1NGWUXV1Na1atYr4l493797d9jC2QQAEQAAEQAAEQAAEAkigrq6u\nxQmav4uNjo6m8PBwfxcjS37QFegHH3yQ1q9fTxMnTqRvv/2W5s+fT8899xx16tRJasi+ffvo\nX//6F/Xq1UtSsN9880169NFHafz48bIaqobE7MI6t7CWOglzbeP6JrVp3nJeaR2t2NnsvCQ7\nTUfBNGFny549Cy74/SDtFe3kOl18fPc2tdNWNrZBAARAAARAAARAIBAEgqpAb9myhX755Rda\nsGABZWRkUGNjI5111lm0dOlSuvDCC6X2P/HEE3TGGWfQnDlzhHm2MJo3bx49//zztHDhQmk/\nEJD8XUZtg4n+T7iv3pVfc9TOcRNpRFsfPH8gjeyVKLv4d5fvo09X51G4XitZsGgwmelSoahe\ndkIP2bKUzLA9r5Jum7fFzhnKF8I993/PHUAT+6coWRRkgQAIgAAIgAAIgIDfCATVjF1KSgo9\n9dRTkvLMLdTpdBQfH09lZWVSg0tLS2nHjh00e/bsFmX5tNNOo/z8fNq+vdn1s9/IBFDwi9/l\n0O6CGkmx5BHaRlMTGYwWeuCT7VRe2yirJiu2Fkkuu3lmUoPRLOSYJdfeH608SKt2lsiSpXTi\nO+fbK88sn6dQPfz5DjI0mpQuDvJAAARAAARAAARAwC8EgjoCzaPO/MchJyeHlixZIllcmDFj\nhhR35MgR6bdLly7SL/+TnJwszYMpKiqiQYMGtcSzsv3hhx+27PMGTwvp39+17WG7hG52WKHn\neTdms9lNirZH1wvF8bftxeTOQ/UfOdV07iTvR44Xr9/iUhbL/25jEc0YndX2Svsg4ZetR6QX\nA1dZuW7fby6lS6fYO1vRarWSibvY2FhX2UI+zjpfKzIy0slUX8hX/mgFNRoNMf9ALxZRgo91\nwQlfx2o9h9jEI7fD2hYluARSBrPnEBMTo8pziOtuvQZ4W22B76Ec+F6k5mvA2gapMSr7h88f\nvn7Vyl9luANa3aAq0NaWspm1G264gXhCOo8wd+vWTTpUUFBAERER0p81Lf/GxcVReXm5bRSV\nlJTQa6+9ZhfHI9xjxoyxi5O742ijWG7+1tJXl9a6VHg5n0UMz1Y1NEntbU2O9XhpjfsR6+Kq\nBlmyrDKV+C2sPORRTGGVyW3d/N0HHiumwEF+CVNzUPuNn5U4vmeoOfB9UM1B7edQezh/1HwO\nqf0ZwNeu2s8hNd9//FX3kFCgU1NTadmyZdIo9COPPEL33XcfPf3009Koncnk/GmfR4QdlZKu\nXbvSe++9Z8cpLS2NeGTa18A3fYPBQK7q4KtMx3xas4Ui9Box3cLieEiav5wWGyarDT1SouhI\neZ00NcJWoHDqRz1To2XJss3f1u1+nSM9ishOj3SqG980eeSktrbWY95QPcg2rPk8raqqCthK\nZaVZJCQkSF+F1DoCnZSUJK2tYAs+agz89YID34fUGPgeyoobT8tT4znEzPkaqKioUCN+aVok\nL8jnwan6+npVtoG/XvD6KKPRqMr68/nDI9COg37+aAx/oUcIHIGQUKCtze3Tpw+df/759L//\n/U9SmngEmZVlvvhtFWZWSKxTP6x5+SLjKRu2gW96bblpWCwW6aL194V74aRu9NFvB8lkM49D\nfPWhxNhwmpidKN08bNvlafvi47rRn3tKhf9BhyAU6PMnZsqS5SChTbt90qMoTXgTLBKj4I4h\nOkJLJw5Kdlk3Hj3km6cag3UKB7+AqbUNrPRw3dWo/PCnUw58HauVP5///PBVa/2ZPQe+h1q3\npQgV/WO9BlRUZaeq8nNUrecQD0Tw+aPW+vP5o+Zr2OlkQkQLgaAuIvzkk0/olltuaakMb/Bo\nI99o+YTjUWV+gGzbtq0lDS8q5OO286JbDqp0g5XeCyZ1lSxwWM2E9+0cS89dPpTYI5+c0D8z\nTrLeER8lHrxHMybE6OnRCwdTHyEzmOGNa0dSRoL9p+hEUbe3RDwCCIAACIAACIAACChN4KWX\nXqLNmzcrLZaCOgI9ZcoUev3112nx4sV0yimnSIryF198QRxvHXGePn26NDVjwIABkjL9zjvv\n0MyZM4mnfbSXwC8Ll0/JEiPE3eiQsN+cIOxAp3XyPOXBU9vHZyfTJ7eOp1pLs4xYrUEyi+cp\nTyCOxUbqaN5NY+lwWT1tP1QlKfQ902MCUTTKAAEQAAEQAAEQCCIB85EiMq3fTGFRYmH9+FEU\nFh3l99qwzshmkD/44AMaOnSoouUFVYFOT0+XGsZvBy+88IL0iebkk0+mW2+9taWR1113HT30\n0EN0+umnS3Pphg0bRjfddFPL8fa0ERWupewMZRY7acWk5z6dO0mf3ouLnadNBJMbO1AJFccu\nweSAskEABEAABECgIxCoefR5qn/+bWESRs/z6igsIpzi3n6WImZM8Vvz2brbvffe62SIQqkC\ng6pAcyPYcQorx2yyjifA83wn25CYmCgp1zzvmU3y8FxnBBAAARAAARAAARAAgdAnUD/vU6p/\n8V1JcSZD84BeU6ORqi69kRJXLyJd316KN4LXHl166aV0//33S4Ow/KVf6SBvgq3SpR+Vx/Oc\neb6zo/JsWxw7WIHybEsE2yAAAiAAAiAAAiAQ2gTqnn+LhDkzl5Wsn7vQZXxbI9miG+uNN954\nY1tFuc0vewSazcuxF8DLL79cmqvsD63ebW1D7EBpdQMt31JMJcKyRFdhPu6kIWkUEyEbqdSq\n4goD3fnRFmJbzbxw8IKJXcXCwu4+t/i0J35vcVwSqQ+jRXcf57OsP/eU0Wdr86i63kS8SPGa\nk3tSdLhv7awxmOinzYWUX2YQ87wjJGZsbcQxfLbmEH3zV4HUhr6dY+g+4e6bp7ggBIZAnXAv\nv3xLEZXU5lOM3kJTB6dSirCiggACIAACIAACcghY8gtdJxdKtXnPPtfH2hC7Zs0aaX3dxo0b\nJYMUbRDlMatsLYhHih9//HGaN28eZWVl0T/+8Q9Jme7VS/kheI81D/LBDXvL6f6FwjqI+Cpg\nEq63ddow+uCXA8JyxjDqLuwtywkrthXRE1/uasnSaDLTuz8foB//LqJ3/j26Jd6bjRJh8u/i\nZ9fbJTUYm2j6Iyvp69tGtSzOtEvgYed/3+yiHzcXtaTYW1hLP2wqpDeuGSHaKW86Te6RGrpj\n/mbJ5rXJLJjpwmieYPbYxYNpaI9OLWVc8epfYqHhMbu3f+U20plPraZ3rx8lXlTksW0Rig2v\nCRwqqaPb5m2mWqFES/0kzu15v+yXrLuM6ZPktRwkBAEQAAEQAAFNl3SyHMhzBiFmH2izldUd\na2pqpKkbvLYuMzPTuUwFY2RP4bj44oul+coLFy6kgQMHSso022+ePHkyzZ07l9TqsEAOU1Ys\nHvpsBxmFEmgUyjPbXObtajG6+uBn2+WIktLaKs+2mQ+W1otR2MO2Ua1uOyrPthnOdFCsbY+5\n2l6XW2anPFvTsL3qOz/cYt316pe9Kj746XaqNZglVhIzwa7BZJHiDcZmd+nvr9hvpzxbhXP6\nm+Zusu7i148EHv58B1XVG4/1E5/n4u8REc9fEBBAAARAAARAwFsC0bdeS2KU0WXyqCsvdBnv\na+Rbb71F+fn59PHHH9MZZ5wh/fEauueee47uuOMOX8W6zCdbgWYp7B3rggsuoO+++47y8vLo\n2WeflQydX3XVVdS5c2dpVHrFihWqdL7gkpJD5PrccjIfdRBge0joiJQnlN4DxbW20R63dx6u\n8nicHawEK3y2xr3yXlZjlKVM5YjRZ56ewoqwY2gQyvPf+yul6G/X5zsebtmvbWhWslsisKE4\ngTxhRvFAcZ1L9/Ls5+evnDLFy4RAEAABEACB9ksg6h/nUfQtQonWCJVTWN8gvfBTER9H8R+/\nRro+PRVt+Lhx4+j//u//aOzYsS1/vM6OZ0nwoK+SQfYUDsfC2RQdO0OZMWMGvfHGG/Taa6/R\n/Pnzpb/s7Gx68sknJUsbjvnUvM8jzc1zv53VQTYfx3OFvQ37xJQIT4FHaIMValppR5mYA862\nnb0JzEQj2FjESKZj0IjVsdVixJNDgxiV9hTqG82YC+0JUBuPSf0kpiXZOMVskSiipa8sLRHY\nAAEQAAEQAAEvCMTcezNFXXUxGdkOtLD/rB87QrIH7UVWWUkmTZpE/Gcb2EzymWeeKU3tsI1v\n67ZPI9DWQg8ePCgpyIMHD6ZBgwbRm2++KSnLPDL9/fffS3OkzznnHHr//fetWdrFL9tqbnSj\n2LLbzqw07+cGnzg01SOT7kGc88sLBt0FVqbkzIHuJRymmF1pZUIOs+yb0ewlMTPRswMZLCR0\n1yPKxPcQ8/fdLQw2mo/1kzKlQQoIgAAIgEBHIaBJS6GIU6ZS+AkT/KI8B5qjbAW6srKS2LML\newvkRYT33HMPhYeHE0/Y5nknn332Gc2aNUsakV66dCnx/GieG92eAit7Y8ViKl44aBt0YoSV\nrWd4OyrLeSPFp4XODu6tbWU+cckQ291Wt7PS7O1o22YYlCnPlffV07Kc2miVd+qoDOumV7+J\nMeF05tguxIxsAzOcPDCFehxdkPjf891/YjlJWIJA8C+BaGFF5iLhWt5VP43slUgDMuP9WwFI\nBwEQAAEQAAEFCZSUlCg++szVk61A80Tsq6++WnK7ffPNN9OmTZtow4YNkndAdoRiGzRivktG\nRoY0L9o2vj1s3y/Mqp06sjPpjyrR0RFa+ueJPcRfluzmfSDcW2cm2Y+8sp753OVDZCnjXPBb\n146mxBjnaRVpceH0/JUjZNUtUpiqe/vakZQi8lqDmG1Bpwvl+eZZfaxRXv9ee3IvumRy95Yp\nGGyub/boLnTnmf1aZGQkRtFjFw0SClxLlLQxeUAK3XVWf/tI7PmFwD9O6EFXTs0SJhmbF33w\nOT5zeGfJCodfCoRQEAABEAABEFAZgTAx5cDzpFOHBi1atEiYbTPRaaedJo08Oxx22mXx7j4J\nOyVWOKKiooLq6+t9lpqQkEC1tbXSAkl3QnhaQq2YEx0bpSOey9vWsGFfuZgaEUUpsfYKtS9y\nl2+vlBT8yf3aPmpY12iicrFwUAkX3GyRg+dXx4j50zxn3F2obrBQbWMYdY5zn8Zd3lCIj42N\npbi4OCorK6OGhtByp+4NH752w2M6UUNtlTi3vckRWmn4BZ7XaBgMBiovLw+tynlZm+jo5ik1\nfB9SY+B7KDvIKiwsFN57g7eeoy3sUlNTqbi4uC0igpaXvw7zwBZbx2LzXmoMnTp1kp7jjY2N\naqw+8fnD9yK+BvwdeMAykKE1/UjJuvC9kM/nUArOQ5Wt1O7UU0+VXGq3kqzlcLCU55YK+HmD\nFcD4aL1ipYzsmaiYrIum9JUsoShx82fHKdFJsk8Xl23hFw1vmCXHRVJX8fDlaUMIgSfA125C\nTASV1Ie1W4s6gaeKEkEABEAABNoDAYcP5a03id0jjh8/Xlo8uHPnztYzIAUIgAAIgAAIgAAI\ngAAItCMCshXoiRMnCg9yOrrvvvtowIAB0h8vJPzjjz8wStWOTgw0BQRAAARAAARAAARAwDUB\n2d/kp0+fTvxXWlpKbGXj22+/lew/s71nnn8ze/Zsyd4e24VGCA6B+tp6evGt32kjz3wQM9xH\ni1khN18/hSIilJtq4u+WrdldSr/tKKU6MQ96YNcYaeEiW4hAcE9gy8FKWibcrJdWN1K/LrE0\ne0wXSoz1bc5YUaVBeMHMp0PluygpWkOzxIJZNt/oz8BOXBavK6CDwpV4ZnKU1OdW6yz+LBey\nQQAEQAAEQEAuAdmLCF0VwIsKf/zxR7r33nslqxycRubaRFdi2xwXiEWEba6kwgJqKuvo4ufX\nkEEjlGVpUaPQoMX/0eZGWnDnJIqKcW/mTuGq+Czuxe/20NKNR8Q5JFVdWgiZEKOnl/81gpJ8\nVAh9rkwbMgZyEeFnaw7ROz/tF33O1x57TQ2jCGHK5IUrhrWYCPS2KdvzqujO+VuEM5UmMgnH\nN7yAUIikW0/LphnD070VIyvdOuHd8/6F26Q8vDBXK76NcTvY2s2k/imyZFkTYxGhlUTwfrGI\nMHjsuWQsIgwufy4diwiV6YN2sYjQisJoNNKff/5JP//8s/S3Zs0aydIA3zBPPPFEazL8BpjA\nw6/+JpTn6KPKMxcutB/xf502nB5/5Vd65K6ZAa6RvOLW7y2XlGdbnytGocSx6/BXv8+VFCp5\nEtt/6kNixPad5fub3aSzpisCK75mi5me/GoXvX7NyOZIL/7lF9/Hvthh5yjI2hcviBebsX0S\nfR7Vdlc8O9J5/Msddo52hM8WKTz19S765NbEFtOH7mQgHgRAAARAIHAE+FnBSm0gA5cZSoYp\nZH8TX758OT3zzDO0cuVKycRbREQE8bzoBx54gKZNm0ajRo2SZaUjkPA7QllbGyOIjtqmtmuv\nGI3eVO/b53w7OX7eWbWzpFkRdCiHRyV5WgeCM4G1e8qkUfpGBzfoPIKbK1zFl9c2Ctvg3vX9\n/uI6Kq5ybS6KLc7wSPHJw5Qdhd4hRrzrG12bOON+33ygksb1TXJuOGJAAARAAASCQoAVWbPZ\nHLDZBvxFkf9CKchWoH/77TfJTTd/Grrmmmvorrvuol69eoVSmzp0XSzStA3XCMw8FB3iwWC0\nSJ/uXVXTLEZVeVqBEva2XclXa1yDkW9i7mvfKJh6G3g0mE8hV/L47GkQx5UOLJOniZhdCOab\nNLcPAQRAAARAILQIsI19no0QiBCKUzhkq/OXX345PfHEEzRp0iR6//33qXfv3jR48GCaM2cO\nLV68mKqqqgLBEmW4IZDRZHCt/QiNqJtGHAvxMKxHJ7fuw7PFwjgoz84dOKR7J7vpD7YpeO54\nWifxVcLL0DMthsJ5ArKLwMr14G5td8rjKLp/lzjpxcgxnveNYi7HwK7Kl+mqLMSBAAiAAAiA\ngLcEXD8pPeTm0ea7775bmvfM3r2WLFlCJ598Mq1YsUKywMFejyZMmOBBAg75k8BdZw9oFm87\nhCi2efTw7guG+bNoRWSfNCSNuidHC1feXOPmwFs8feDfM3tbo/BrQ2BYVgKN6ZNkx4wPM0J2\nuS5nzhi7V79uRi8pr00RkuzpYgFhllCwlQ7sVOeyyT2khYO2srnPz5/QlVLivX8BsM2PbRAA\nARAAARDwFwHtgyL4Klyv11Pfvn1p6NChkstcduuYk5NDeXl51AaxvlbHKR9/XmALIb6GyMhI\n6fOEmlzQpqQn0PBYE/21s5gMYc0zdJLN9fTEWb2p76BuvqIIWD6NUJqmDkml2gYTFZQ3j5jz\nCOR95/an/l3UNRLJ05x4jQC7k+e5Yv4Mkwc0W6rIK60XCwgt1Cs9lm6fnU3j+ybLLpbN1WWl\nxhDPh65vNEuWTy4+vhtdOTVLljIup+Ah4stDWqdIUWYtGUSZ6WL7ClHeBZN8P2f5xYEtofA9\ngO8Fagx8j+V2BOozqdKM+B7KbeBnQyhYZvKlfTExMVRXV+dL1qDn0Wq10kIvdoOtVlfYfA7x\nNezve6i/OovPH76G+Rrwd4iL86+pUcf6830pUPoR30f4fA6l4JMZO34Y8SLCZcuW0Q8//EBb\ntmyR2jRy5EhpFPqMM86g4cOHB72dHdGMnS30tLQ06aGlhCtvW7mB2mYFNErFrrwDacbOX33C\nJphKSsTCTtsvGv4qTGG5MGOnMFAfxMGMnQ/QFMwCM3YKwvRRFMzY+QjOIVsozoGWvYjwrbfe\nov/85z/SqBpfnGyy7rrrriNWmrt27erQZOyCAAiAAAiAAAiAAAiAQPsiIFuB5k9Z55xzjqQw\nz5w5kwL9yaB94UdrQAAEQAAEQAAEQAAE1EZAtgLNo88IIAACIAACIAACIAACINBRCchWoBnU\nd999Ry+//DLt3LmTSktdO7eorq7uqEyD3u6a4gr6+M0f6Y8asQBJ2AeeEG+iC6+fTjFJ8hfh\n8QKBZxfvod93lFCjsMOcKiwizBGWHUb1TvSpnW/+mEvf/FlAJuEgg62lnTgole48s7+dLLNY\ndGc4/Z9Us2NPs0m++FiKeOER0s+cYpdO7Tu8QO+zNXkSW7ZvPT47mS4Ui+ZiI326LOmnzYX0\n3YYjVF7TSGzy7+LjuvtsNWNXfjUt+P0gHSxtoORYHZ05povPLrW97afNByro09V5dEgshOyS\nGEnnCgsco3r5dp55WybSgQAIgAAItD8CX331laSrpqen02OPPeaXBsp+Uq9evZrOOussaVXs\niBEjaPz48X6pGIT6RqC6qJz+/dzvVBqZQqaY5u7NN5ro96dW0Kt3T6XoRHmrdC9/ZR0VVja0\nVOZIhYHu+XirUHqzadoQeR7p7vloC63fW9Eii901/7SlmHKO1NBb142W4nmldX2/ycIXtY31\nlKoaarjyFmp65gEKv/islvxq3mDl+eZ3N9Hhcraa0ewFJb/sMP26rZheu3oExUXpZTXvlaU5\nkvLMnvs4cD/9vqOUnr5sCA0WdqLlBPb4+NCn2yWPkLx2MK+EaIvwBnipMDV36eTuckR5nfbH\nvwvpmcW7Wxy4sAWWDfsq6KZT+tBpozK8loOEIAACIAACoUngj90lwrNsBUXqNXTcgDTqKaxF\n+SOsX79emmp87rnnEuup/gqyFehFixZJ5mS2b99O/fvbjxz6q5KQ6z2Bj8TIc2lkKpm0x7qW\ntwuj4umTN36gK+45x2thX/2RZ6c822Z84ds9shTo4kqDnfJsK2t/cT39LZSlYT0TqPFft9or\nzzYJG+9+rN0o0F/9cdhOeeZm8qh8aXUjfbTyIF033Xub17sLqmnx+oIW5ZNlsR7No9r/W7Sb\n5t04hqO8CqyAPyPyHNXDW/Lw/vzfDtC0oWnUOSGyJV6JjTphsvDFJTl29We5rLy/tiyX2EQf\n24pGAAEQAAEQUB8Bo3DCdee8DbRxX7kw6cc+CsLo7R9y6OrpfeiyKb0Ub9DWrVul9XkLFy70\nq/tv2Y5U9u3bRxMnToTyrHiXKyNwTW2EnfJslcpK9JoKed39yzYx9OgmNJqaqEgoxd6GT8VU\nBU/Bety8er37ZCazam2BOjZq1c7SlpFn22OsRK/eVWYb1er2+twK0muPOZ6xzcAjuSVVx74g\n2B5ztb2vsJZq6m1G/20SsYfCjTZfEGwOtWlzx+FqYUtUaMsuArdqy8FKF0cQBQIgAAIgoAYC\n7/2cS5v2l0sec/mLK3u15Ts+K9Gb9sl73rXW3i+//JLeffddSVe49tprac2aNa1l8fm4PI1K\nFMP2nVmJRmj/BFyrND62m4cTPQTPRz1kxCFBoMlp9NYWC9ja0sA2CIAACIBAIAl8+9dhlwNG\nPBq9dEO+olXp1q0bZWVlEZtZHjt2LKWkNDsZU7SQo8JkK9Bs85krdtNNN1FDg/cjW/6oPGQ6\nExgf3UA6s/MIIseN7yQmHcsIUwa6P/HCxYgne47zNpw/0bNHufMmZEqitBNGuhep04acJyL3\nlfV8ZGL/ZNK5GDXmuAnZSZ4zOxzlhXY8cu0q8HQLXvjpbeiZHkMxbhYxNopJ68PFNBulw4DM\nOPGZzfUIOjdriMw53ErXD/JAAARAAAR8J1BjMLrMzPf3MjFtUckwZswYmjx5MrEHyKuvvlry\nlq2kfFtZrSrQBQUFNGzYsJa/KVOmSG5NX3nlFclFaK9evVqO2aazLQTbgSNw6XUnU1JDjZ0S\nzcpzqqGKLhDH5ISzx3elNDfK15xT+8oRRalC2R7hRvnqkcLHmq0thM99nkh3bP62bSHhj99r\nu6vq7bPHZVKGUG5tlWjeTooNp0tkLtTL7hJHp47sLKyaHFNCeVMn/rlDuPOWE1jG7Wdkizlq\nJM1Vs+bl/UuP704ZwjqG0iE6QictFuTRCNvA+9fP6IX5z7ZQsA0CIAACKiPgbrEgTz0c2E3e\nIvdQarprTcWmhuzDPSLCfgSre/fuxH8IoUcgLi2RXr/lOProzZ/oz9pwYp1kQqyRLrrTNzN2\nH9w0WlqIxnN2jWLuUnJcOP3n1D40ure8UVIm9dSlQ+j1ZTm0eB2bsRMLCcTr25SBqXT3WccW\no7Kv+6jtK8hwxhXUtCu3eSVZbAxFPP9f0p8q7wUg9HrnWI2iwrX0ylUj6JO+gAIbAABAAElE\nQVTVh2iVsJbBC/7G9U2ii47rJtsCB0u9eVZfGpAZT9+KxYTltWzGLo4uEQpvz7SYY4V6uTWx\nXzK9cMVw+liYsTtUaqCkGD2dNbaLWDXt/ouEl6LdJpsxPJ3SEyLok1WH6HBZvVDUo+g8YcZu\ntI/mEt0WhAMgAAIgAAIBJXD9zGy67b31dovTeVAmKlxHZ433/HU6oBWVWVhYkwgy86gmeUVF\nheRy3NcKJyQkUG1tLRmNrj8/+Co3UPnS0tLE3NgmKi4uDlSRipbDU4WioqKoslKdi8hiY2Ol\nlcBlZWWqne6UmppKJSUl0nmkaOcGQJhGvKGxDVCDwUDl5eUBKFH5IqKjo8WXgDDpPqS8dP9L\n5HsoX8OFhYVioai8KWT+r513JfA1oOZ7aHJyMrFfhpqaGu8aHGKpOnXqJD3HGxuV/dQfqGby\n+cP3Ir4G/B0yMgJr8lOOfvT7jiJ69usdVFLdPPWXR57/77zB1D3Fu0EevheyTuBNeOedd+ih\nhx6iQ4cOeZPc5zStjkD7LBkZQQAEQAAEQAAEQAAEOjwBtvvMfyVVBorQa3360hpqEKFAh1qP\noD4gAAIgAAIgAAIg0A4JpMQrv44mWJhaXUQYrIqhXBAAARAAARAAARAAARCQQ+Cqq67y+/QN\nrg9GoOX0ih/Tmlb9RY2Pv0SWHXsorFM86S49m8Jv/heF6eV7YFsi7Cq+uCS3xTYwT9a//fS+\nNG1YZ9ktsAg32vWX3khNGzY3u7eLEfOQ7r2Zwq+4QLYszrBiaxF9KDztFVY0ULKwOHHexK5O\nrprLtu2lhjMup9j65jl7ljANHb7sUhr45C0+lelNpg3CQ9J9wkU5L260BnZb/Y8Telh3vf7l\nOfPnPvcn1TceE9Y1KZLm3mDvEZBdmLPLbKur9ORYPd17zoCQMNu2amcJzfv1ALEjlgThBfAs\nYTWEFxLyfFxrqDGYhFv3LbQ7v0Y616LFwshrT+5Jp4z0bR7eq7/9Skv/qqFGgzjHIupp6shI\nunXqVGtxsn73VuXSxznzKbcqhyJ1kTQxbRKd1/siitS2n9EPWUCQOKgEtpVtpYW5H9KhmoMU\nrYuhqZkn05lZZwtLOep4BBfU5dP83e/TzortpA3T0pjUcXRR38soTh8XVK4oHASCSUD7oAjB\nrIA/y+bFQyaTs01kb8uMjIyUFhD6e/GL6cffyHDpTdRUIBYZCG97VFtHlnWbybJhK+nPmeVt\ndaV0yzcX0rOLc+zy8CrRVcK7Xa/OMWLCfrTdMU873O664cLyxb6D7KujOQjl0Pzz79QkJvPr\nxo3wlN3p2Bdr8+gl4bK5ss4keSRiBWxdbjnVClfOVmsLtcUVFDZxFkWYGiULIqyuhYnCO/39\nN+UKl9Wp0yc5yW1rxP6iGprznuBtbeNRgZsPVErNHpYlz/bxKY+vdjIaXyW8+y1ely9eGJpX\nHB8uraNr39xANQ2iv48GVrh/+LuQxvRJohQ35gOtaf35u3TDEXr6m13CmofoawGlVtRxk3C1\nXiw8Gk7ITpaKNolz44Ln1tIR8SJkDWylZe2eMoqJ0NKArvHWaK9+H/h2KS1fqyezUSi4TRoy\nmyIoJ49oc/FWmj5Qnim+nMrd9OD6+6i4vohMTSZqMBtof/U+2li6gaZkTBUm+tTz4U0vXqD5\npUWtC5n5Hspt4MVGal2vzvZk6+rqvDqPXSXaULKO/rfpcSprKCVzk5kM4nzcU7mLcqr20HGd\nJ7vKolgcWzXixVe8AM/XRXgFdQV07x93ECvRxiYjGS1GOlR7kNYU/k5TupxEeo38QR45DeRz\niJ/jZvOxe6Wc/MFOy+dPoBYCx8UF9oWG70v+1o+s/cf3ET6fQymo50kSStQUrkvDXY+K0d1j\no5WSeFZUV64l029rZZX27OLdbtM/8eVOt8dcHTD+73WiqmpXh8j4v9dcxruLrBXK8rs/73dS\nUllB+/KPw0IRa3YLfvic61sUZ6ss65hn148XWKMU/b1j/ha38j78Tbw8yAjPLtrlNnWFeHHI\nF4ozhye/3tXyTuKY4amv5fWTY/627LOL1dd+yHXqJ3bU8v3GQtpfVCuJn7t8v90Iu22Z74hj\nckJ+VTmt3cgvdg63oyYt/b09nnKKj8gRR+/tekdSVIR/xpZ8rEjnidG/VYUrW+KwAQKBIPDu\nzrfIIv6zDXw+binbLP3Zxofi9gLxJYeVZts28ItAeUM5/ZD3fShWGXUCgYAQcHhiBaRMFGJD\nwFJQRE1H3JiZEyNl5rUbbFK3vmk7BcExdaPpmELheMzVvvmX1a6im+PESLlln/cmYnYXiOkY\nbooP12po+6EqSW7SgX0uy7SORDeIrwpKBx4RVyqs2lXqUdQ74iWCw74i9yNaPG0iWGGfUJBZ\niXYVwnUa2nq0nzbsrXCVRIpjZbusxnuTU7/t2SM+M7gukzRm+jUn121Zjgcs4sG+r3qvY3Rz\nvYTSsr18q8tjiAQBfxAoM5QKRbPMpWiNGCrYWb7d5bFQitxRvs1OebbWjV8CNpdusu7iFwQ6\nHAEo0EHu8rAID3YNxeTlsEh7JzYBra6DAx2nsuO8s9/I+SL0GjGq6VqD5nhWzjiY2buKhxAh\nPucpHawj3ErIZe9/nkJ8VPOcRxdevFuyaWzmGbdEBmiD+8FNN0nvP9Z+Chf96SlEHO1PT2ms\nx6LC+ROwG27ilGk+bk3t+TdMjGLzHE1XgY9FaIJ4PbmqFOLaNQG91v39nT/rh3s4HipgdB6m\naESooP6hwhH1aH8EPD8F2197Q65FYUkJpBk2sNktn2PtGo2knTHFMdbjfqyYf+ouJMQ0K2/u\njjvG6y87xzHq2L5QnjUp3nsjzM6IpdhI1+Xzg2T4UTffpRMmHCvDZotVb6PWdX6bZD5tdk91\nPy9chh4olX1ZK4sOb5jRU0o3yoOHvQFdAzuPzRZalmCRIrxNugo83cY6V509B7oLcaKfY9z0\ntas8J2UPoDCN668AYWFNNKO/uD68DHwujUgZ5UaJFvVPG+elJCQDgbYT4EV2PeN6i9dD50et\n0WKiUSmj216InyWMT5vo8nriF9Xx6cqvSfFzcyAeBBQj4HxVKyYagrwlEPnSI0SxQomzWtzg\nEUjxp7/z36Tt19tbMVK6164Z6Tb9a9fIW/SnP+dUChs9zFmeqFvkO886x3uI0YlpGvee3Z90\nYuhVe3SUln/4744zsluU64EfP0v1EVHSaKd1vNr6W/3SUx5K8P3Q61cNczf+SU9fNkSW4NNH\ndyHrKLNjxlG9OkkLqjj+ztnZ0mI7xzQ8cvvf8wY4RgdsnxXQ/xOWQHik2Tqazn3Ep+ScWX0o\nSVhO4XCqsLTRV7wUOQaRjB68wHuFl/PHRkTSFTPEosMwXiRkXSjEvxa6aFoUJcc4l8P53IUr\n+l1F8eGdSBd27IVLIxSYqZnTaEjSUHfZEA8CfiHw70E3UZSwBGM9H8V3Rem/83tdQF1ju/ul\nTCWFntf7AkqP6txSf5bNyvOw5BF+XwSpZDsgS3kCvKiPF/cF4o+fTaEW4MrbQ48E0pW3pbiU\njHMXCssbWygsLYV0F84m3SR7s2ceqmp3qKLGQDfO3UzFlQ1SfOfECHr1qpEtSqpdYi92Gl6e\nS6b5n1NTTS1p+velyKfvI02fLC9yOic5XFpP3whrFAeK66hLYqRkwq53Z2cFacfs6ylt43rS\nWsxUmZRK0fNeoNQR/Z0FKhTDq7xvePdvsUiuTlLeE2P09Mw/BlO3FOe6eVPk/Qu30p97yiVZ\nrIBeJkziXTK5h11Wnmv88pI99GdOubRob6QYhZ9zWh+KDj+m+NllCOAOL+r85s98OlTeKBRY\nLc0a2Zn6dXEeGf/wtwPS4sL6RrNk5eU/p/alzKQon2q6/tA+mvv7Fioub6KUhDC6bOJAmpDV\nxydZdaZa+unwD5RTu4eitdE0JmkcjUr17XryqQIKZYIrb4VAtkGMEq68KxsqaFneUsqp3EMJ\nEQl0grAGMyhpcBtq5V1Wdn2shCvvRnMDLT/8E20u2yRZ3RiXNoEmiNHnQFi0gStv7/qaUwXa\nlbf3NVMmJVvyCSVFGgq0h34NpALtoRo+H0pLS5NMRxUXu1mk6LPkwGTkm39UVBRVVlYGpkCF\nS4mNjSU2K1RWVkYNDc0vMwoX4XdxrDyUlJSo0gSZRsynT09PJzZnWV5e7ndW/igACrQ/qMqT\nqYQCLa9E5VIrpUArVyP5kqBAe88s0Ap0IM3Y6XS6kDNjF/yhLu/PDaQEARAAARAAARAAARAI\nAQJsWzxQNup5MAF2oEOg01EFEAABEAABEAABEAABEPCVABYR+krOT/maKqupqQ3eE/1UraCI\nNQn72IY/5dnBbmtFLZVVZHFnl1umcLZaUVnX2Or0B3NeAZkPHpYp3f/Jeb5Zlag/tyNQgcus\nMdaIOeFu7EIHqiIoR7UEeG0BezdFUJ5AvameGs3e23hXvgaQCAKhQwBTOEKkL4yfLabGR1+g\npmJhdF/M9dGdMZ0iHr+bwuKdF26FSJX9Vg3j199Tww33CscrxxQ3zfiRFP3lu34r07R6HRn+\ndSuReIGRglhZHH7/HAq/6hLZZfID/M0f99KyTYWSUxI233fZCd3prLGZdrIa3l1Axv/+Txib\nONpOscpYf+s1FHHbdXbpgrHDbtc/XHmQag1mySLHTGG27pqTe7XY61a6Tqwwf7Xvc/ru4CLJ\n1XG4sNc8s9ssOq/XhcJqi3vTjErXA/LUS6BQLHx9/ts9tFG4necrKjMpkm4WlmNG9ExUb6NC\npObs8IU9Kh6uy5NqNCBhIF094HrqHJ0RIjVENUAg8AS0D4oQ+GIDUyIvHmLrCr6GSOG0IxCT\n5I0LvqaG24Upu5qj3umEW29Lzn4y/7yKdJec7fOq05iYZkcndXXuvd75ysZf+Uy7cqnh/Gud\nxDeJUVrTn2IF+HmnOR1rawSzrp91KZHBZqGf6APzitUU1jmNtEPlmZW7f+E2+n1nCRnNzYox\nK9T8UGcrPEN7dJKqa1z6MzX+579O3hkta9YTCfva2uGD2tosn/OzZY0PfjlIDcbmUWAegc4t\nrKXd+dU0dUiaz3I9ZXx/17v0/aHvqNHSPLrFroJzq3KoyFBEY1LHesrq9hiv1uaFnHwP4HuB\nGgObh+J2BGqeodKM+B7KbaitrW31S0xbyq6uN9J1b2+kAyXCis7R99HqehP9vKWIhmUlUHon\n3x0w8X1UTfdQW448Z5TnjvJcVf7zJewV1+FDG+6nKuOxxdzsYXHlkd/ohC4nUqTWd7be1IfP\nIb6GzWariUtvcoVOGj5/+Brma8DfgRetBzIEQj+ytofvI5gDbaWBX4lAk1DUGh5+Xpi/dbg5\nGI1k2ZVD5mW/dihShouud9tey8o/3B5ry4H6O8XLi/Wp6yBI6huHOE+7O/KqaMPecjIdVZ6t\naVkJ/UiM6LK5Nw4Ntz4o/br6p/HBZ11FBySuTnz6/njlIWJ33LaB27Mut5x2Hj46Qm97sI3b\n7Or4p8PLiF0D2wbeX1nwKxXWHbGNxjYIOBH4dn2B+FpiInE7tQt8Gr/14z67OOzII7Ag50On\nlx8xxEMNZgMtPfitPGFIDQLtiEC7nsLBZk8SE33/fMdvPGwKi+dl+iuYDuVTrZh36y7od++l\nhIvPdnfYY7y17m1h4LEAPxys4SksHkKc6BOdGFVUMtTuzHUvrrpG1jmUt7Wc9MIJiXX01law\nRTzNyxu01CU9kWqqPCiiDY2yyrQto63bhw8026R2JYfblVdhpgmDfb+mXMndU7BLOG3RkdFi\ndDrMro6LLIXUP1HeVwBbQXwdq+kasK27dcSFzZGpMTB7DmyKzJ9hlziHrF98HMvZK76etKX/\n+T7alvyO9QnkPtedA5sDtfaF3PL3Ve8TU2Kcn4H8gptbm+N3Nvwc5z+L49uR3IYEKT33AY9A\nq/UcChI2VRTbrhVo/uRTX1/vc0fEx8dLn+7aMg2ktcKb+P7GDnac70/C3ZOWjFERVF3tQdny\nUAA/dFn59zW/B9H+O6QT810dR+NtSqvnlxkfediIsd+MiSKqOPZ50u6guPnJ4acX3vTcvW/x\naJhWTFGQ5PGDzewwXGYtWJwPcsq0ZlPiVyPqZ3HTAI7m9ildN41RQzxlw1UwC0c6WpPWpzL5\noWX9/Kt0nV3V1R9xrPhwaMt9zB/18lYm30P5JYA/X/tTAYqNEN79xHXj6tSNivDt/LG2MSkp\nyafzz5o/mL+sNPNzgO3Q+zoNJUoXReyYyFWI0UT7nQ1Pw+L6q3UaEyvOrEQH4h7E9zuEwBFo\n1wo0K49tUX75hs9KeFtktNqV0VGkOX48WVb/ReK7v31yMY1Dc8pUn8vn9reVgX2F/L+nnT2D\nzJ8udl2QGIXwR1+w10fjs2+6LDNs5BBZZbK7bn4fcgzsjbB7SrSYixkuydOMHUHSfGfHhGI/\nrF8fWWW6EOFzVEZCuFTPvNK6lrWNVmGsoHD7lO6DrJhe1EmfQOWNzl8fosXDu298P5/KtI6+\nqe0asPLmX77/8IuA0sxty/DntlVp5vpbt/1R3tTBqfTj5kIn0TptGJ0s5u23hZ+azx/rNcDs\nfWVwQsaJtGj/V05TrDSkEa68T/BZrlNnuYlg/n5/DrspW8loX/krWQfIUpYAzNgpy9MnaZEv\nPERhGekkhgqE9iS0lHDx2VO8sUY89yBpunXxSaZaM0W98DBRouvPvZGL3vNLs9jqRZirhYJx\nsRT14SuyyoyL0tN95w4gfnCHiykPHPiX4+8X8dYQ/cU7RDzy7RhE30d+94FjbED3HzhvgFRf\nvWgDB/7l9nD92aKI0oGtbNw27E6K0orPzJrmT/78GyEscdw69K6WOKXLhbz2Q2Bkr0S6YGJX\n6eVVJ95W+TbKv9kZsfTPE3u0n4YGoSVnZp1N/RL6kzZMK/hqjv6KF5OuM2m0jwt8g9AMFBlk\nAnXGOvp8zyd03+q76NE/H6Rf8n6WBviCXK02FQ9X3h7wBdKVd5OwAGH6cglZtu+msKQE0s2e\nSZrebbvxq9mVt+G+p8n06SIxKm+isJ7dKeKbuYrPfXbseuNHXxJbRBHL1Uk7eQLp771J+vTm\nmM6b/aLKBvp9VwVVGiyUHq+lKQOSKDrCWfmsv/sxMn+/QjJlp50ykaJeEgsaQyCwHd2fNhdR\nSW0TxeotdOLgNErrFOHXmlUbq8WiwV+oqL6QUiPT6LiME6hTuOuXKW8qwqNvcOXtDSn/peF7\nKE9DKSws9OsItLUFvMh19a4SMggLMkO6d6JJ/ZNJw9p0GwJcefPUmCZaX/IXbS/fJr3QjkoZ\nTdlCqQ5EgCtv7ykH2pU3T83yZmpNZUMl3fH7HCo3iAX2RxeL8wvZmPRxdOeoe6WvbK21kq3J\nhNpaECjQHnotkAq0h2r4fEjNCjQ3mi8WfvhWVrqZn+wzmcBk5Ll7bFaorKxMmsMXmFKVLYWV\nh5KSElWOFECBVvZc8EVaoBVoX+rYWh4o0K0R8u9xKNDe8w1VBfrFjc/Syvxfnda6sBL9nxG3\n03FdJrfaSDkK9EsvvUTZ2dn0ww8/SC/vDzzwAPXr16/VMuQmwBQOucSQHgRAAARAAARAAARA\nwCsCfxSudVKeOSMvHl9bsNorGXISff/993TNNdfQunXrqKamRvIHICe/t2mdvyl7mxPpQAAE\nQAAEQAAEQAAEQMADAbPF3sa/bVJX5kttj/u6zV+vV6xY4VfnKxiB9rV3kM9nAuw1LKeghipq\nPXvGMh/II+PmHdTU6GwfWG7h2w9V0YKVB0W5nk0Crvt9J/3642ZqMHiumzfll1U30I5D5ZKD\nB2/SK5GGvQWu2FpE5TVtr78S9QmmDL4x55TvoSO1BcGsBsoGARDooAR47vjBqgO0v2KfsGrk\nxmxpB2AzMHmwWH7qrG7qwnQ0LHWEXwiMGjXKr8ozVxoj0H7pOgh1RYBdWr+8NId++LtQzKlt\nTjGpXzLdPjubYmwW2JmFO2/DNXdS0569zVZJIiMo/P5bKPyf57sS6zEuT7j2ve7tDdRoai7w\nvV8OUJReQ+9cP4pSbdz7Lv1mPb24qZoswiKEVLk1a2lWkpH+c+NJHuW7OlhZZ6SnvtpJ6/ZW\nSIfZhN3po7vQddN7kZZ3/BBYcb5j/pYWT4dcxKBucfTsP4b6vBDSD9UMmMhlh5bSgpz5La7B\nu8Z0o5sH30pdY7sFrA4oCARAoOMS2Fa2hV7b9pIwz1kuQYjTx9E1A26gUamjOxyUKwdeTbev\nnCM83ApzluI/Dqw8d4nNpGndpvuFR3Jysl/k2gp1fiWwPYptEFCQwLOLdtPyLUUtyjOL/mNP\nGT34yfaWUprKKqj+zCuoKXd/cxxr2vUGarz/aTJ+8V1LOm83rn5zfYvybM1TL1boX/HaOusu\nbd2wl57/Wzh6CDt6OfCqffG3pExPH7y/siWdNxs84nDPR1tp0/5jCx/Zgcp3Gwro9WUePB56\nI9xNGkOjiea8t8lOeeak2w5V010fbnGTq/1G/1bwC83f816L8swtPVybRw+tv49qhKUPBBAA\nARDwJ4G8moP05KZHW5RnLoutDD2/+WnaXbnLn0WHpOxucd3puckv0+j0sRSji6HEiESamXUq\nPTnpGWJvs2oNUKDV2nMqqzebdVuxrVj4ijk69Hy0/iahXW45WEk8gsrB+PFXQmFuEGbdHD53\nCYcSjU/Ks8n86aqDbp398Yj0iq3FUpmvfnv0huZo7kro0Z/ulzd9ZNP+CtpXVCvetB3aKdq9\neH0B8fQVpcPcFQfctvPvA1VUJxTsjhQ+zV3g9LmUXRE3CC+LK/J/7kgo0FYQAIEgEPjmwFcu\nLRfxfejLvZ8FoUbBLzIztivdM+Z++nDmpzT35A/pX4OuoShddPAr1oYaQIFuAzxk9Z7AQTGV\nwuqYwzGXXquhA8V1UjTbwWY7zK5C0+Ej1OTBzbdjng37jo0COx7j/T/2lErRR8zCeYej8iwd\nCaNGjbxZTtwOduDgKnBsXpnvruVdyeS4nCM17g5J8buFbdyOEvgTYVlDc786ttkk5kQfrN7v\nGI19EAABEFCUwAFxn7FOVbAVzAr0oZoDtlHYVjEBedqBihuKqgeXQHKscGHtMPpsrZFZjNYm\nxTV/xpE8MurFaWl0MWoqPAOGacUcZS9DZlIkbdjnPnEP4VqbQxyZqLZJlO9CidbIXPiRJNpp\nsU7wdiiaB6WZg9IhNc6zg5PMZBceD5WuRIjI04kXnkjh0dBgdn5R0Yo5d8mRKSFSU1QDBECg\nvRJIikimvNpDLpuXIKYvIPiXwJIlS/xbwFHpGIEOCGYU0jM9hrLSYoQbWHsWvJsQo6dhPZo9\nzukvOF0Yh3SYvsFZ9HrSX36efeZW9q6a1stjivMnZkrHzx2a5DqdUIRHR4rpJDLCmD5JFBnu\nrOTz4sEh3eOFN79IGdK8S3rp5O5uEybH6ik1Xvky3RYYAgemZZ4sLVBxrIpF2Bw9PmOKYzT2\nQQAEQEBRAuzmXDiUd5KpEetsZnSb5RSPCHUSgAKtzn5TZa0fvmCgpEDqhBYdrtNIUzpYeX7s\n4sGkE9M4OGiye1MEu7PWiVFoYX0jLEoof8Ils/bEiRR++/Wy2h0lFNkbZrhWou8+s1+LiZsz\nzhlLk6LEiCWPHNv8dTbX0X9vO0l2mY+L9sRG6qQ2RgiLH9zezKQo+r9zBsiS5W3ibmIk/epp\nPZ2SR4qyX7hiuFN8e484v/dFNCRpmGQ2KUIrLLiIP/Z4dcOgmykzpvmlqb0zQPtAAASCR4At\nbZzT8zxJieZ7EP+xQj2j6yk0GS/xwesYhUuGK28PQOHK2wMcHw+ZxOjynznllC/mAqd1iqBx\nfZMoQu88YmspKqGwX9aQztBAjYOySTtqqI8lEpUJm8jPL95NBRUG6pYcTbed3odio5ynUrA1\njm9+yZGsdhw/OI2mzfLdPmV9o5k2HqwlYQqaUmPCaFj3WL+ZsLOCKRTtW7DqkNTeQV3j6bwJ\nmW02YadmV945VcIGtCWf9BRO/aL6kxo/nbL72jAxtai2ttbazar6hSvv4HZXeHg4sTmv6upq\nySNbcGvjW+lqduV9pK6A9jXmipnPTdRdl+V3M5qh6srbt563zyXHlbd9Tv/tQYH2wBYKtAc4\nATjEN3/2JlRZ6XkxYACq4lMRsbGxFBcXR2VlZdTQIG8qiE8F+iGTmhVojfhykZ6eTgaDgcrL\nm22x+gGRX0VCgfYrXq+E8zVQXNxsscerDCGUCAp08DuDzx++FxUWFvq9MlCg/Y7YrgBM4bDD\ngR0QAAEQAAEQAAEQAAEQ8EwACrRnPjgKAiAAAiAAAiAAAiAAAnYEYMbODgd2QoVAU0MjGf/Y\nKGxCG8nSN4s0ndP8XjWD0Sy891WJOdAWGpAZJ6yDOM+T9nslOngBewtrKL/cQJ2FtZI+GbFt\nolFS1UDbjhymcE0TdUtoXrjqq8Cmunoy/7lJmFc0knbkEApLDh1TVAViniV7PusUkUB94vsS\nr/RHCD0ChfWFwg75AYoLj6O+8WJdh8Z57Ufo1Ro1AgH3BHRisT+v0QhE4GkwoRagQIdaj6A+\nZFq9jgxX305UIxZOsd1noUzrr7mUwh+4xW8X65pdpfTk17vIKBY58u2AbVNfdkIPuuR49ybi\n0FXKEaisM9KDn26n7XlVwjqLRuqHvp1j6eELBxHb1pYT2J36Gz/upa//yKdwYYnELOyPR0do\n6YHzBtDQHglyRElpTUuWk2HOA9LLnNBOSRg0J/09N1LEv/8pW5aSGRrNDfTqtpfor+I/SK8J\nF+esiVKiUumOYffC2oiSoNsoix34vLn9dVpV+FtzPzWZKDE8kW4fdg/1iMtqo3RkB4HgEYiI\n8OyDIHg1C0zJoafSB6bdKCVECViEt0HDJTcQlYuFg+xMRVjhYNNyxrkLyPj2R36p9X7hevuh\nz7YTW85gZy9G8cdOTz787QD9tNn/Cz/80iiVCX1IKM87hcdEtiLIXwD4N7ewlu5bsE12Sz5f\nm0eL/yoQ697Fu5fRIrlVr6o30b0fb6NiMSotJ5i37iLDNXcS1QpPmWL0mV/mhEZOxideIeM3\ny+SIUjzt3F1v08aS9ZJco3BTzp7PiuuL6LEND1Kj2bU3T8UrAYGtEvgoZz79UbT6WD8J50xl\nDWVSP9WZxHmFAAIgoEoCUKBV2W3tt9LGj79qtsXs2EShTDe+PNcxVpH9b9bli5FtZ1Hsz2XB\n74ecDyBGUQL8AsNTZ3jU3zbwPk/pYMVaTvhkVZ6kNDvm4ZHpZZuOOEZ73De+87HwUOkiCSvR\nL7/r4kBgoupMtbSy4FcyidFM28DmsmqMNbS+5C/baGwHiYBRjD4vz/vBZT81WBpobWGzYh2k\n6qFYEACBNhCAAt0GeMiqPIGmfQebP5W7El1aTk1CcVE6HCoR81uFsuwqFMkcsXQlA3GeCbB9\nbr1wrOMq8HSOgnJnt9yu0nIc2xnn0WZXgb8s5JV6L4tlWHL3u/aMycfyCjhJUEKpoVSyLeuq\ncH4ZLBLzbRGCT6CiocJJebbWyiJGotFPVhr4BQH1EXD91Pr/9s4DPqpi++O/7dkUEggk9F4E\nQQURUVRs2EFs+BARBevTJ3/bQ1QUu1geis+uKFgRFfQ9EXvBp4goRUEQld5DIGSTbN//zA27\n2d3c3WSTvZu7yW/8xL13Zu7Mme/cXc6de+ac9BsHJW4kBAxdOkIYrqqPRmzcMkib6CSnDvn2\naiHGg120ata0bbyCHLT8bJ2XIax11J9gpE166+a1D0UuI1o2s6tv7QhGhExkLMZunYUdvvrP\npLF9m0SaSmrd/Ix8JbKZWqPS/KXAXqhWxLwUE8i15ipRMNW6lZs9C+zab45W65t5JEAC9Seg\n/i9D/dtlCyRQJwKW0SPFdSrvzC0iNPa1l9apzZouGnFEW8VeNrqe1JtGD+kQnc3zJBPoUpCF\nPh2aVYvUaBIb9roUZuGgtjkJ9Tjq6PYwy81+UUnmnHpY66jc+KeWCaOFSZFKHfEgZ7luvEpB\narIyzVk4pvVxMBsiHxZkuOBsSxYObzkwNYKwl7gErCYrTm53quo8WcXGz8GFQ+Jez0ISIAH9\nEqACrd+5aZKSyVW9jNeeBHKbQbzXBzLECrB4J2259EJYrhqrCROpwN15QR/YrUbIVUqrMCeQ\n+pf0wDHsUK7kaQI9qtG7hIeMXm2zFVv0IH85L/f9rW/CnlcuOKo9zhrYRnkMswkvHHJOc8Sq\n9AMX9VXCx0d1HffU1O8gZDz7EJBpr3wzYhMeQaTyPOlaWEaeFvdarQvHH3QlDs2vDDcvlTG5\notkyoxVuHzAVVhPfnGjNv7btj+kxFoMKBivV5TyZDCYlrLycp0xzZm2bYT0SIAGdEWAo7zgT\nwlDeceBoXBQQ3jeMy1bB4nbD2aMLjG21V2SlF45wP9DNE3SfFo2EobyjidR8/scOh7B5dqIw\nz4aebRJbeY5ufY/Dgx1lRsUPdKfm4jOGnXX0dWrnAeGFw7ek0i+5aeAhwg90C7VqSc+rTSjv\nbWVbsblsM/KseeiRK/1AJ9/Mqa4Dk7+hdrtdCWPs96ub6dS17VRdl6xQ3jvLd2CjYwNyLM3Q\nM7dXSvxAM5R3qu6S2P005lDesUfdNEoi3/81jTFzlGlAwCBWni1DByv/+LpLhEu7FCS71YSB\n3fQTICMFQ9ZdF92F72f5l4wk7df79iiE0+nE3r1769WkISsT5hP0+bq9bVY7yD8mfRMozGwN\n+cdEAiTQOAjQhKNxzCNHQQIkQAIkQAIkQAIkkCICVKBTBJrdkAAJkAAJkAAJkAAJNA4CNOFo\nHPPIUcQhEBDR43yfL1L89ho7tYfpxCEwWGK4yovTTiJFgfIKVHzyDbzF++Bu3xqBowfCYNT2\neXVXiRNviSAixQ43DhZeLc47si2MGveZCJOa6kofzkv+2Kv4fS4Uru0GdW9RL7vlmvprDOXS\nrvi/m97HupK1yLe1xIjO56JFRmrssxsDP46BBEiABOpKgAp0XcnxurQg4F/3FyouvBoBocgK\nbVIJimFoUwD728/B2FEbu1HfilWoGC3CkVdUKEpzwOuFsWsnZMg+W+Vrwk2Gr37+0/Whtr9b\nuwevfr0RL15zuPA8UXs/yqEGUnwgg6X889VfsEco/0bhdUVGDczNtGDaxf3QoSU9FahNx/by\n7Zj8w01wizDewfTJ1oW4rNcVGNb+1GAWP0mABEiABDQgoO2SmAYCs0kSqC0BqbhWjLkOgV17\nKqMbCs8e8HgQ2LoDznETFSWttm3Vtp6y8nyRUJ73iY2PYuU7UOEUfXpFRLuNcF41qbbNJFRv\nc1F5hPIcvNjp8eP/Xl4RPNXtp1SWp7y1GrtF1EeviBboFkFVZNRAqUzf/uav1UJ863YgKRZs\n6tLbI5TnYPcvr30BRc7dwVN+kgAJkAAJaECACrQGUNmkPgj4lixHYIdQJKLdZ4lw4P516+H/\ndW3SBfV98S0gzDeqJaHM+xf/BL9Q3pOdXlu0KWaTRaVu7NF5OPJ1wnXdlj3l8EcFLJER9Xbv\ndyuuBWMOsIkWSNd1pZ79MUc/b/07MctYQAIkQAIkUH8CVKDrz5At6JRAYMeuymAsavKJIC2B\nXclfpfPvLBKBX2J8rYQJSWBn8vuUK7fx0mahnOo5FQslX4bgVksyoqC06WaKJLC1bEtkRtTZ\nHqd468JEAiRAAiSgGQH1f7U0644Nk0DqCBh7dgOk2YZaEuYVxh5d1UrqlWcUQV8gVpvVU0Cx\nhVYvq3tuTX6Te7arX0CSuktWuys7ChtnabahlmR+x5YiCiBTBIGeeb0izqNPOueI+5CJBEiA\nBEhAMwJUoDVDy4YbmoCpby8YjxkkVqGjPG6Ic9OZJ2uyidB07JEwHtQdMEftzxV9mseeD0Oe\nCFGe5HTpCZ1EVDP1Rvt1bIZMa5Qs6lUbLLdtCzuGHJSvhNwOF0KuPg/omoeuhckJrBLedrof\n54qog91yxH2mkswGM87vOkqlhFkkQAIkQALJIhDjn91kNc92SKBhCdhffBSmYcdWCiG8O0D8\nmc8+BRkz7tVEMINo3/7m0zAKt3VKkn0K0w3zmHNhu+cWTfqUCvL0Sw+D3Rr5de4tVp6nje2n\nSZ/JbnTSyF44rnfLSmQHGh/cswWmnN872V01mvbuGngvuuR0jRiP3ZSJe454EGZj1ENjRC2e\nkAAJkAAJ1JeAQeyAj9q6U98m9XP9vn37hCcxlQ1dtRQxLy8PZWVlwnGDp5ZX6KtaQUGB4mli\n9+7k292mYqRWq1UJ5V2ShFDe/qJiBLbtgLF9Wxha5KVCfNgd5cjY74AjPw8emzUlff62ZT+2\n7XWif5c8tMiuf5+tWrVCUVGRJh5L1IDsL/dgh/BnXSDCcOdl1U9+6QO7sDA5obzVZE1FXmZm\npnjmMyi/Q7H6k/bOq/f+inaZ7dA1V31VOta1WufL31C73Y6dO3eKvbzqZjpay1Df9uV3IJ1/\nQ/Pz81FaWgqHw1FfFA1yfW5urvLvuNudnnsh5P0jf4vkd0Dr1KZNG627YPthBPT9bjdMUB6S\nQH0IGFuK4BLyL4XJ1LoAGT26oby4WLi0i2GLnWR5erdvBvmXrqmZ8P0s/5hqTyA/Ix/Hthla\n+wtYkwRIgARIoN4EIt/51rs5NkACJEACJEACJEACJEACjZsAFejGPb8cHQmQAAmQAAmQAAmQ\nQJIJ0IQjyUDZHAmQQN0I7K/w4POVu7Bd2HAX5tlwUr+CettB102S9LnK5XPhfzu+wWbHZuTZ\n8nB04TFoZS9InwFQUhIgARJIUwJUoNN04ig2CTQmAr9vL8WkV38RIbxFGG9vQHgBNGDWVxvx\n4Jh+OLhD+tp0azlHuyt24e6f7hARCUvh9Xsh3de989cc/KPvDRhUMFjLrtk2CZAACTR5AjTh\naPK3AAGQQMMS8IkY3lPnrEaZyycCqgQg3QJJJdrp8eOuOatiBllpWKkbvvcnf52Ofa598Pg9\nglkAnoAHvoAP//71cZSIfCYSIAESIAHtCFCB1o4tWyYBEqgFgTVbS7G3TN1FVblQqn/ZVFKL\nVppWlb2uvfhj/zr4xX/RySBCyS8t+jE6m+ckQAIkQAJJJEAFOokw2RQJkEDiBBxOL4wy4IxK\nMolohI6KWKHRVS5oIlllnng+fQOIX95EIHGYJEACJKAhASrQGsJl0yRAAjUT6FaYBa9PPZ6T\n2+tH9zYM5R1NsXVma1iN6oFm/AE/ujTrFn0Jz0mABEiABJJIgAp0EmGyKRIggcQJtBRRB88a\n2AZmU+QqtDw/6ZACtGthT7zRRn6FDNU9qttomAymiJHKjYTdm/VAvxaHROTzhARIgARIILkE\n6IUjuTzZGgmQQB0I/P3Ubmhmt+DdxVuUzYM2sxFnD2qLy07oXIfWmsYlZ3QcDotYhX77zzdR\n5nUoyvSQ1sdhXM/LmgYAjpIESIAEGpAAFegGhM+uSYAEKglIW+dxx3fC2KEdFZvnrAwzZB5T\nfALD2p+Kk9udAodQoO0mO8xG/qTHJ8ZSEiABEkgOAf7aJocjWyEBEkgCAbmZsFmmJQktNZ0m\nDIJZjiWn6QyYIyUBEiABHRCgDbQOJoEikAAJkAAJkAAJkAAJpA8BXaxAb9u2DYsWLYLJZMLR\nRx+Ntm3bRhAsLS3F//73P8jPI488Eh07dowo5wkJkAAJkAAJkAAJkAAJpIpAg69AT5kyBZde\neil+//13LFiwAGPHjsX3338fGv/69etx9tln45133sGvv/6K8ePHY/HixaFyHpBATQScDzwJ\nR+dBcLTtD0eXI+F6cmZNl7A8zQl4l/+K/X2GYp2xDTZnd0X5OePTfEQUvzYEXls3G9d9exWu\n+uYyPLbiIZS4q0dkLPOUYf76dzFt2X0iauMTWF70c22aZh0SIAESiCDQoCvQa9euxTfffIO5\nc+eioKBAEezuu+/GjBkzcNRRRynnDz74IEaMGIGJEydC2vrNmjUL06dPx1tvvaWcR4yGJyQQ\nRaD8jDHwL19dletyw/Pgk/B99yMy33ymKp9HjYaAZ/5CuP4+uWo8wse0/4dlykNU9oYlVfk8\nalQErv/2ahS5ikJj+qloKZYLZfrRwY+jMLONkr/HWYQ7frxVCTTjDXhhEP99v/NbnNbhDIyl\n95IQOx6QAAnUTKBBV6D37t2LCRMmhJRnKW7//v2xY8cOBAIB7NmzB7/99puyAi2VZ5nOOuss\nSJOP1avDlCKlhP8jgUgC3l/WRCrPYcX+rxfDu21HWA4PGwsB13W3qQ/F7UH52H+olzE3rQm8\nLlaew5Xn4GB8AR+mLX8geIqX1jwPh6cUUnmWKXDgv4WbF2DNvt9C9XhAAiRAAjURaNAV6MGD\nB0P+hafPP/8cvXv3VlaXpSItU7hNdH5+PqxWK3bt2oWDDz44dOnmzZsxadKk0Lk8kOYgJ510\nUkReIifSJttsNivKfCLX6aWu0Vj5fCSZpWOSD01yDHWVf/vUf8UdtuG+Gcif81zcOvUpDPLP\nyclBdnZ6RtOT34EWLVrUB0NKr/V6vXD41aMaSkH8i36o8/2U0oEc6Cx4D2VkZDRE9/XuU/5+\nytS8efN6txWvgSXfxTbr21GxXZlzn9+HlcXLISM1RiejwYhVpb9gSLdjoouUvTl1/Q2q1liK\nM4ILT5mZmbDZbCnuPTndyd8gi8WStv8OS/llStd7KDmz2DhbaVAFOhrpnDlzsGLFCjz3XKVS\ns337duVLH/3FlwqJXL0OT+Xl5fjpp5/Cs3DmmWcqynZEZoInwZs/wct0VV0+cKRzquscBJzl\ncYcdcJTV+/6I28GBQvnjn84pne4fo9sdH7VQrtNpPPEHkz6lWjP3BjxxYcj+3T6XqvIsL/QJ\npdodcMe8N7SWP67wSSiUv6F1/R1NQvf1biKdZQ8OPt3voeA4+FlFQDcK9MyZM/H666/j/vvv\nR69evRQJpeIhV5Sik8/ng3yiDk/ymlWrVoVnKV47pBJe15SXl4eysjJ4PPF/nOvavtbXSbty\naQqze/durbvSpH35g2O321FSUlKn9g1jzgOWRd4TEQ1dOQb1uT8i2lI5kavO8mGvuLgYLpdL\npYb+s1q1aoWioqK0Xf2JJmzo1E7TOY/ur77n8ndOriLK36F0TPI3VH6Hd+7cCb+/+spvssbU\nPacnfnT+oNpcljkrNOftszpiS9mmavVkSPRO1s6heuEV5HcgnX9D5cqn9GDlcDjCh5U2x7m5\nuaioqIC7podjnY5I3j/yTZL8Dmid2rSptPXXuh+2X0mgQW2gpQjyR/WRRx6BXH1+9NFHMWTI\nkNDctGzZElJZlqvL4Wn//v1Qu1Hk68Lwv+Drq/Bredx0CFgvOgfiX2/1ATfPhfmYQeplzE1r\nAqbzz4wpv23eyzHLWJC+BK446GollLnaCK7ofU0oe3yvyyHNNeTmwWAyG8zonNMZgwuPCmbx\nkwRIgARqJNDgCvS9996ruK175plnlA2E4RK3b99eUYjDV5blpkKpdIfbRYdfw2MSCCeQ/ed3\nMLSPfCo3dO+C7FVfhVfjcSMiYJ9xH0xjxMNTeLJZkfHZHJhbamuLG94lj1NHINuaI7xtzEDb\nzHahTrPM2fi/fjdjUEHVPpuDmvfBXYffh565vWAxWkUEx2YY1v403DHgbqFYV9qqhhrgAQmQ\nAAnEIdCgJhwfffQRPvvsM9xyyy3KKyZp/xxMffv2hXx1c8opp+Dll19WNhbK1eUXX3wRp512\nGuRrESYSqA2BrCULalONdRoRAfsjd8L42FQUFhbC6XRW2zPRiIbKoRwgUJhZiEePeqJGHj1y\ne+KugffVWI8VSIAESCAegQZVoGVwFJmkCUd0+vjjjxU756uvvhrSN/Tw4cOVDYWHHnoo/vEP\nuqKK5sVzEiABEiABEiABEiCB1BBoUAX6pZdeqnGU0v3R448/Dmn3LHfiZmVl1XgNK5AACZAA\nCZAACZAACZCAVgQaVIFOZFDNmjVLpDrrkgAJkAAJkAAJkAAJkIAmBBp8E6Emo2KjJEACqgT8\nG7ei7IyxcHQaJEJbH4ny866Av6hYtW6yMn1r/kDZyaNEn0fA0WUwKkQ0QP9+bV1qeT76Avt7\nDME6Q2tszuyCsmF/g0+4wmpsyfPBJ3AcfiocHQfC0esYOO+YpjrE8nPGw9H+cDja9oej21Fw\nz640n1OtnKaZARFp0v3sbJSf8jeUHTMSztsegn9nerrwTNMpoNgk0KQIpM0KdJOaFQ6WBDQg\n4F+/GeXHjRRRI6r88fq/X4rygacj86eFMOYn30OFd9mvcJ51iYiZHIwO6IXv829RLpS+zBWf\nwZgZw81gPcbvfu09uP95b1ULou/AqrWoOOg42P9anNYBJaoGBbiengXPfY9XZZWWwTvzLZT9\ntBJZH70eypeKNURZKFU44b71fgREKHvbrdeFstP5ICDiBVRceBX8P/8CeCpjB3g3bYV3/kJk\nfvImjFGeeNJ5rJSdBEhAHwS4Aq2PeaAUJKA5gYorbo5QnkMdigAFrn/cHjpN5oHrilvClOew\nlsvK4Z50f1hG8g7dkx9Qb0woVm4pTyNI0pWn54EZqiMJrFgNz8IvlTLn/cIrRbjyHHaFZ0bN\ne1DCquv60PvuggjlWRFWBuESwUNcdz+ma9kpHAmQQHoSoAKdnvNGqUkgYQKBtX/GvMa3ZHnM\nsvoUyFXOWMn79fexiuqc75PRykTwpVjJ978fYxWlVb5fjiNOZD/vnA+U8fjmfxx3XL4fl8Ut\nT5dC76dfh1aeI2T2+uD78ruILJ6QAAmQQDIIUIFOBkW2QQLpTiBkYpHuA6H8TZJA0EKoSQ6e\ngyYBEmgIAlSgG4I6+ySBBiBg6Nk1Zq+mQYfFLKtXQdvCmJebhyY/dLLJaoUwco7Zp+now2OW\npVOBccgRgDH2z7d51HBlOKYRw+IOy3RE/7jl6VJoHnYcYFHZ0mM2waTBfZYuXCgnCZCAdgRi\n/wJr1ydbJgESaAAC9hceUVe6rBbYntTGHjnjOdGnwVB9tFmZsE7Txu7aev+t1fuTOULBsr7Y\nOOxhjUJ5tkxW3wBoOKQ3LKefqDDImHIDkJ2lysNy3WWq+emYaT7/TBj7941UokXkWjl22903\npeOQKDMJkIDOCVCB1vkEUTwSSBYBY9dOyFw0H4ZD+1QqGkJxNhw5AJki1LmxZYtkdRPRjvnw\nfrB/+hYMB3UHpEJjs8J4/FHC68fHmnjgkJ1bLzkfthcerlIchQJv6N0D9jXfNBoPHHKctmsv\ng+3ph4DCVpWr7tmZMF92IbIWviGLQyn7929hHCjeMBgPPMhkZMD64GTYbrs+VCfdDwzi3rK/\n/Tysk66DsU9PGLp0hPmic5D5xVzhgaNtug+P8pMACeiQgCEgkg7lSopI+/btQ0U9fL/m5eWh\nrKwMHo8nKfKkupGCggLhPSyA3bt3p7rrpPRnFa/j7XY7SkpKktJeqhvJzs5GTk4OiouL4XK5\nUt19Uvpr1aoVioqKlPsoKQ2msBG5SltYWAin04m9e/emsOfkdZWZmSkW8A3K71DyWk1dS/I3\nVH6Hd+7cKfY8VrlPTJ0E9e9JfgfS+Tc0Pz8fpaWlwiGJtr7X609avYXc3Fzl33G33CCchkne\nP/K3SH4HtE5t2rTRugu2H0aAK9BhMHhIAiRAAiRAAiRAAiRAAjURoAJdEyGWkwAJkAAJkAAJ\nkAAJkEAYASrQYTB4SAIkQAIkQAIkQAIkQAI1EaACXRMhlpMACdSLgP/3P1Ex5lo4uh8NR5+h\ncN5yLwL79terzZou9q1cjbJzJ+CPrC7Y2mEAnHc9ikB5RU2XqZYH9uyF88apcPQeqoyhYtxE\n+P/cqFq3psyAsAN2PfUKykT4dEfXwSg/+UJ4P1tU02UsTyKBr7Z+gQlfjcVFn5+PMZ9fgNuX\n/BP73XW7H/2798A5cQocIky8o8cQVFx2A/wbNleTtkKETne0GwBH2/6Vf0ecDl9JabV6zCAB\nEkgfAtxEGGeuuIkwDpwUFHETYQog19BFfTcRSuW5/LQxIkqc2IjrO7CJTLiTM7Rvg8xP58CQ\naa9BgsSLfT//goqRwkWb7C+4R9pigbFXN9gXvArpsaG2KVDqQPmJoxDYJTbiilDgSjKJdQeb\nTcj/FozC20MiyXnd7fD+55OqtuTFYoOR7Yl7YDnvzGpNcRNhNST1yvhky0K8svbFam3YjDa8\nMPQVmI2WamWxNhHKh8Dyky5AYHcxIMOGyyR9kNszkPn52zB2qPT+UXHNJPjeF3MencR9mL3p\nx+jcpJ7L31BuIkwq0oQb4ybChJGlzQVcgU6bqaKgJJB+BFz3TI9UnuUQhCIa2LoDnlff0WRA\nrtsejFSelT498ItQ5t55HyXUp2fmW0J5LopUeKVi7nLDdf8TCbUlV8W98xdGtiVbkKvStz2E\nQFAJS6hVVk6EwOu/z1Kt7vK78Nq62aplsTLdL7yGQJHw7hI+bzKMvPD64n7o36HLVJVnWSqu\nq7j57lA9HpAACaQXASrQ6TVflJYE0oqAb/HPVSvP4ZK7PfB9/X14TlKOA0KB8f/yW9XKc3ir\nYhXc97+l4Tk1Hnu/EjKqubEU/fi+/6nG68Mr+BYvE06qq69wKnXESrf/jw3h1XmcZAIOtwOe\nQGyXpKuKf0moR9+X36nfG15xb3y7RGnL8/m3cdv0fbU4bjkLSYAE9EuACrR+54aSkUD6ExCB\nU2ImDcw3lPDWsUw0hKkEMjNiiqNWYIhT3xBvbCqNGew2ldyqrETbq7qSR7UhYDXGuRdFA1YV\n84247ca7f4WJj0zGFrlxmzDYYjxQxb2KhSRAAnogQAVaD7NAGUigkRIwn3VyZHjl4DjNJpiH\nnxI8S9qnDDpiOvlYEfVQ2KKqJPNpJ6jkxs4yjzi1MoJidBVhU21KUH7TCUPUVyxlpMRO7RO2\np44WiefxCVjNVuRYcmJWOq5tYveG5Wxxbwh7/mpJ3BvmkaJMJFP/fuqh7A9cZB4/+sARP0iA\nBNKNABXodJsxyksCaUTANvl6sWFQbKYKN10Qyq1JKLLmEclXoCUa2/23wiBDk4f3KTb+mcec\nC/NxgxOiZ77gLJhE6HElDHnwShkCvUsH2G6+OphTq0+j2DhpvXdSpUIlV8NlEsoWMmzIeFaE\n5GbSnMAth06GeFyp1k+n7M44tcMZ1fLjZchQ4aajj6h2bxh7dIb1/64IXWp94NbQccSBeGiy\nTaACHcGEJySQRgRUHp/TSHqKSgIkoGsChrxmircKz2vvVto8i9fe5rOGKcqzXC3WIhlbFyDz\nq3fhnTUXpp9WItAsB4EzT4L51OMT7s4gFN2MVx4Xmw8Xwrvgc2XzoFSoLRefB4NQfBNN1ktH\nwdTvIHheew/+bTuUY4tYhTS2LUy0KdavA4HuuT3xr6P+jZfWPIcNpX/BZsrAULHyfH7XCxNu\nzSA8bmS89iS87y2A96MvlbcLphOPgUUo1uHmONZxo4QHmO5wXnsbsFtsSBWeMUznnwn7Q7cn\n3CcvIAES0A8BurGLMxd0YxcHTgqK6MYuBZBr6KK+buxqaF7TYqNQfgsLC4VTBCf27hXeEtIw\n0Y1dw09aLDd2DS9ZzRLQjV3NjLSuQTd2WhNuuPZpwtFw7NkzCZAACZAACZAACZBAGhKgAp2G\nk0aRSYAESIAESIAESIAEGo4AFeiGY8+eSSDpBDwiXHXp7xtqbNcvgoP4RYjqdE2+omL41v5R\no/iuX9fAJ8ItJyP59+6Df4eISKjD5CjaDq/bFVcy96btcP/n07h1kl3odwjfy5u2JqVZGQY9\nsLcE8jMZadfOv1BRXrcQ3nXt31EkAgi5nHW9POHrAiISZ6lrP3wBEeAlTZO/ZD8CInAREwno\njQA3EeptRigPCdSBgGPDVuwbMR65RbsUHwNSLdg97BR0mzUtojXPW+/DNfkBZTOcUpCViYyn\n7of5lOMj6un1xPPpN3BNuCki+pvpguGwpzEM4AAAKO5JREFUi1DY4aniqn/CJ5TFkHokvF1k\nzH4C5qHCo0aCySsCvjiv/Ccggp0oSXjhsN51E6yXJb7xLMGua6y+csY9KHjqA2SX+uAQv+Yb\nhvVCr8efgT2neehaqTS7BY9gcl8ljnKykb12UTAr6Z++NX+g4sKr4Qg+vAgvKJarx8F2+/UJ\n9yWD47gfexae518HxAMixEZUy1UXw3rjVZAb+RJN8969B58EfkZJczOMvgC6bfTj8lPvQYeO\nwuWcRunXFx5B/r/eRk6JF+VC5A1Du6L7jKeR1UK7zaOfbP4I76yfA4fHoYQoH9r6eIzteSms\npsQ3v2qEJW6z3i++VSJ0OuQDmFG4pzz+aNgeuRPGNgVxr2MhCaSKADcRxiHNTYRx4KSgiJsI\nawfZKyLllXQ/BlaPO8JBV0Bcvuv4E9DtjX8pDXkWfgnX+BtVG834z2yYD6+uQOhpE6FvnVgx\nHHqeqvymsefBPu0OpaxCeDvwxQjZbV+yACbhTq62SVEET7xAtbrtyftgOe9M1bJkZcbbRLji\n4dvQ+cmPYApbXPQK5WxHrxY46DPhMUQkd3Ex3H1PUhcnJ0so0d+ql9UjV64Ylvc9UUSgDBPs\nQHuWiZfDNunahFp33nQ3vO/8V3i58FZdJx6IzBeOQMbDlXNeVRD/aP68+zA3axkCpioPMEZv\nAHn7vHjojJeRndOiWgP13UT4yzMPouP9b8MUtnAu56moUw66fP0FTKbkr2N9sGEe5v71VsTK\ns9lgRq+83rh9wF3Vxqi3DO83i+G8SNwn4W8bhPtLQ6t8ZH79HgzZWXoTOaY83EQYE03aF9CE\nI+2nkANo6gQ2TXmimvIsmUgVoeCrL+FxVr7aV1aeY8By3XJ3jBL9ZDsvvyWmMD7hFi6YYinP\nstwZ4wEieG30p1TeYiXXlIdjFWme73GWo8PTCyOUZ9mpWeisbdYW448FbyoyuI9XV/6VwtIy\nuN3JfzXuvl289VBRnmWfnqdeVrqu7f/8m7fB++b8SOVZacgDr3CN6N+yvbZNKfU+9SyNUJ5l\npt9swP5cE+a9f29CbdWmss/nReG/3o1QnuV1cp5abizF73Nn1qaZhOq4fS68u/7tCOVZNuAN\nePHbvlVYs3d1Qu01RGX31McilWdlAD4EhNmZ5415DSES+ySBagSoQFdDwgwSSC8Chh+XxxRY\nKtHFXy+tLA++TlepHVi/WSVXX1mBTVtiCyRsPWXyCZvbeCmwfmO84mplgd//qpYXytgXMhAJ\nZaXqYPeaZbC6K8cc3adPvO52/PRTZXZxfDt3/5OJKbTRfamd+5b/qpZdmef1Qa5Q1zb5f/lN\nCTSjWl/44fb/ska1SC2zpGQX9uarr/Z6hRK9tSzO/aXWYC3y9m38HZll1Vfig5e6li8LHibt\nc1v5Vnj9Yav1YS3LVej1wv+13pP/9z/VRXR74Fu6Qr2MuSSQYgJUoFMMnN2RQLIJ+Js1i9mk\nVLHsnQ6YLJjVlQfl4joEBYnZqVYFtpptN03Z2fF7z8iIXx5dmmWPzqk6r4P9bdXF9Tuy58e3\nnTXl5VZ2UIOMRhWznfpJJt585ObEb0LYX9c65Yp7WyjdqknkG5rHvvejr8nMyoNJmGuoJWkG\nYzfWfH+pXRsvLyMvH+o9igVW8aBjkONLcsoyZ4s+1XuVuVmWNDB/yMxUpyJs6Q0tquz71Ssx\nlwRSQ4AKdGo4sxcS0IxA7g0TVNuW/1g6MzLR7KCuSrnphCGq9WSmecSpMcv0UmAeNTy2KEGF\nUdaIYx9pGRfHpEGldcv5sfs0Dh6gckVqspp36I5tPXPhU/kFN4rV+A7nXKQIYhLhy+Mlq9iY\nlexkuXxMzCYNHdtBBripbTIdcRhkNEu1ZGieC+Phh6gVqeZZzFb02gBVJdonbJIH9x2hel19\nMuUmwc2HtYK0eY5OJrGBsd35sVlF16/teSt7AWRocqP4r3oK4LD8w6tn6yzHfK4Iqy7s3Ksl\nfwAWWcZEAjogoPYN04FYFIEESKC2BFoedzh2DR+urDlJpTn45zeIr/fsf4easT0nbFNbtgid\nBw8MXToiY9rtwVPdfmbcI2ygO7StLp8ICW5fKDw0HEj2D2eLZVBpvBKVunaC7eZrojLjn9ru\nmAjDQd2rVxIrhxkvP149P4U5zZ9/Ao5cCzzC/EDuT5OfUqHe9tAVyGvfTZHE/sBk4XFDfcXR\nMvkfmkhrOed0GE8ZWr1tEcLaPvf56vlxcgzC40nGy9PFsqlYkbRZK2vKT+k9RuQb1JSsOO1d\ncfbDyN/jhdkTgEEoY2aPICceOE7aUoAjjxoV58q6F7V59t/Y38JWOU/itlTmS3xunjoGLXvU\n/gEgEQkm9rsJOdZmsBilEmpQPk0GE67veyOaiXy9J9uU/4Oxd49KJVo+cMl5Ft9py81XwzTo\nML2LT/maCAF64Ygz0fTCEQdOCorohSMxyDsWLELF9BdgEjam7p7d0W76bbC3qq4wu6Y/B9/C\nr8VSnBGmkafDdmXsVTA9eeEI0nBNfx4esYEMwjesaUA/WMWDgckeaWohbaHdV/wTgVVrFRta\n07hRsF17abCJhD/ds+bC+/YHymY204lDYPnn3xNaSU24wwMXxPPCIatUlO7FupefhH+tsBkV\nD0ftxlyKVj0PrdZdxcQ74XtvQeXmPqF8WufPhPXgXtXqJTPD899PEXhlLlBWjsCAvrBIpShR\nE5oDAgX2FMPzzocIbNoKQ6f2ivcTQ37dXuVXVDjwwQf3Y3PJBtgMVhx16AgMHKTu3UV2X18v\nHLINV5nYMCgeZn3CLzla5KL16EvQus9AWaRZcnor8P3u/2G3dzdyTDkY2PxItLK30qy/ZDcs\n3Rd6P/wc5pW/wScemgynHg/TIb2T3Y3m7dELh+aIG6wDKtBx0FOBjgMnBUVUoFMAuYYu9KhA\n1yByqFiaChQWFsLpdGLv3r2h/HQ6qEmB1vtY5G+oXTzc7Ny5U3gkk+vk6ZeSoUA31Kjlb2h+\nfj5KS0vhqGGDbUPJWFO/ubm5qKio0MRjTE19J6OcCnQyKOqzDfFuhIkESIAESIAESIAESIAE\nSKC2BKhA15YU65EACZAACZAACZAACZCAIEAFmrcBCZAACaQxAf+O3fCIyIte6TM5TvL+9As8\n8z+GXwSjSMfk/2sjPO8ugPysb3L73NhQuh67K3bVtyleTwIk0EQJxHEM20SJcNgkQAIkkAYE\n/CKKYMXI8QgsX1UlbbNs2N97CaY+PUN5XhF4wvk34X2kvCKUZzxqIDLmPpeSjZChTut44C8q\nRsXpYxDYuiPUgkGEY7cveA1GFa8yoUoxDhZs+g/m/PkmPH63UqNDdidMFN4p2ma1i3EFs0mA\nBEigOgGuQFdnwhwSIAES0D2BinMmRCrPUuL9DqFsXgypXMsko/45zxkfoTwr+d8vhXOsNm7s\nlI6T+L/yEy6IUJ5l0wERwrv8pMTdzn2x9VO88cdrIeVZtrXVsRl3/3QHyr1l8pSJBEiABGpF\ngAp0rTCxEgmQAAnoh4A0wwgsixEy2+OB51+V/pbd988QruvUvV/4v/wOfuGhRM/J++k3gHBh\np5pEaHrvF/9TLYqV+fafb8EfiIxs6BdetJ1eJ77e9lWsy5hPAiRAAtUIUIGuhoQZJEACJKBv\nAr4ly+IK6F+5Win3r/49fr3f/ohb3tCFPrFSHi/5votfHn6t0+fEfk9JeFbo2BPwYEvZptA5\nD0iABEigJgJUoGsixHISIAES0BkBU4+ucSUytC1Uyg2F8QNnGDu3j9tOQxcaOneIK4KxS/zy\n8IttRhusxgPRDMMLxLHZYEZzW/WgQ1HVeEoCJEACIQJUoEMoeEACJEAC6UHA2L2ziGiXF1NY\n6w1XKmXWm66KWUduxDM2j91GzAtTWGC+6Byh3ZrUezSbYbpwhHqZSq5BhII+oe3JirIcXSzN\nOI5trRJ+PLoiz0mABEjgAAEq0LwVSIAESCANCWR+8IoSpjxadOv9t8LYro2SLb1xWCZdG10F\nyM6E/YNZ1fN1lmMUSnLGLGHHLaJKRiRxnvHqDMjyRNLo7hejT/O+wn+rUVmNlivScvX5H8IL\nR2Fm60SaYl0SIIEmTiCxX58mDovDJwESIAG9EDB27YTMP76D58mZ8IsNhYbWBbBOnABjm0rz\njaCctomXwzLiVLiffgUBsfHOOHgAbFdfEizW/af5hKORufpreJ54Af4/NsAozFcs/3cFjOIh\nINFkNVlxa/87sHbfGvy5fx0yzVno3/Jw5FpzE22K9UmABJo4ASrQTfwG4PBJgATSl4BRrMRK\nBbmmJG2FMx6ZUlM13ZYbhX9r25QbkiZfr7yDIP+YSIAESKCuBKLei9W1GV5HAiRAAiRAAiRA\nAiRAAk2DABXopjHPHCUJkAAJkAAJkAAJkECSCNCEI0kg2QwJkIC+CPi374Rj8TJ4M6wI9OoG\ng03dhZm+pE5cGv+fG+Ff+ycMBfkwDugHQ/SGO9FkwOuFf+lKBPaWwHhwTxg7pl/Yas/8j+H/\nZTWM/frAMvJUVVBunwtrS9ZCfnZv1gO5NnUvI34RFty/8jcgNwemgYfCYLWotpfMTP/GLfCv\n+h2G/OYwHi7mKcENkOGy+Ddvg+ftD8TmSgMso0aENo2G1+ExCZCAtgSoQGvLl62TAAmkmEAg\nEIB76mPwvPgGyoTSHPCJyHPZWbC/+ChMRw1MsTTadReocML5j9vhW/BFpTcOjxfSNZ19tvBO\n0aNLqGPfr2vhHHc9Arv2ABbxk+90wXz+mbA9dhcMFu0Vx5AgdTzwrfkDFWeJTY/lFaEWXDff\nDfuHr8IkHoyCaXnRz3jy18fh9ruFXmmA1+/FyM7n4YJufwtWQcDvh+uOh+Gd9TYgH6i84t4Q\nSrT9pX/BNOiwUL1kHgTcHrhunArvewuq5qmgJTJmPwHTwb0S7sp57W3wzvsodJ3nkWdhHj0S\nGWI+mUiABFJHgCYcqWPNnkiABFJAwPPsq/C8MkcsuwYQEMoihGIJsfJacdG18G/bmQIJUtOF\na/ID8H26qLIzOU7xoBAQK5MVo66qHLcoCewvFedXIrBjt1IulWeZvO9/Avd9TyjHev9ftPKs\nyCuU6YqzxoZE316+DY+tnIYKXzl8AS88fg/E7OODjfPwxdbPQvXcM16C9/V3lXtDYSFW5iHC\noleMvgb+XUWhesk8cN07Hd7/fFrZZHCeduxCxQVinkodCXXlkvKHKc/Bi71vzof7xdeDp/wk\nARJIAQEq0CmAzC5IgARSR8D91MuVSnN0l0Kh9r41Pzo3Lc+lYux9579inJ5I+cUKqzTT8H78\nlZLv/eATQKxUy4eJiCSu84hVWLk6qufkeVes2oatPEfIWlYBadYh06dbFkYUBU98AR/e3/Be\n8BSeZ2ar3xs+P7xzhElEklPA5YZ39jvV50nOR0UFlPlJoE/PM7F9d7tnzEygJVYlARKoL4FG\nbcJhEa8nc3Jy6sxIuoiyWtPXblLKL1NBQUGdGTT0hTJ6mM1ma2gx6tS/lF2m3Nz09TEr76FW\nreKHg64THI0uCgjF0FG8T711oSxaxAp0On0fgvdQVlZWxJjcu4pR5o9Sig/UMAi72Mw9+9Bc\nfO/37C6GSyiHqknwyBdNmDX8fQj+BrVs2VJVhJoyi/7ahMo1c/WaGaI8X45zdZFYeRbmGCpp\nr7tYmXN/WTkcsVZ83W7YhIlLKxUWcgx1vWc8wu65LPohJyijeNixF+1FC5U+g1WiPx2Osuis\nqvOS0phyyvsnMzNxv9lVjTfcUTr/GyCpBb8Ddb2HGo48e66JQKNWoD3ih2v//v01MYhZnpeX\nh7KyMrHIo+9VmlgDkF9YaQ+6e7d4fZuGST682O12lJSUpKH0wuw2O1t5gJPyu1zx1AD9Dk8q\nz0VFRcp9pF8poySTIa7VlGixUczTpgC7du2KukC/p1LpkQqE/B0KT4EMYbssFGWoKNEBkVee\nnwePGKenZXPAJB6khaVCtSQWGPaIJgwa8pC/ofI7LO8hv1AYE02erh3jXuIU5XI+880tYTKY\nVJXo5tYWVXOekw2oKdHit8YlNmGq3RvyO1DX39CAXMOQdufSjCg6CcW8QsyPWp/RVUPnwpYf\nQlFWTc1yqrUlf0Pz8/OV+8fhSMxcRLWPBsiUCxAVYrXeLR5y0jHJ+0cq0QnNcx0H2qZNmzpe\nycvqQqByibIuV/IaEiABEtAhAcvfL61UWqJlE4qoefQ50blpeW4QypL5vLPEOKM2AYp/qA15\nzWA+ZagyLvPZwltFhniDc+BtSGiw4jrzpaNS4n0i1GcdDiznnQFkZqhfmWkPeeM4uZ0Yp0qS\nSvXZnavm3HLNJer3hnjIMF84QqWF+mVJzy/msRcA0V4+5HzYM2AecUpCHVjiRJC0ThyfUFus\nTAIkUD8CVKDrx49XkwAJ6IyAVShJ5nGjFKXRIJVHqWTm5SLj9adgbBsZ5lpnoickju3ByTCd\nfEzlNXKcJlOlF465z8EglDOZpKJtf/t5GAqFGY7ZVKlMi3zz8GGw3T5RqaP3/9n/+2p1JVoo\nz9ILRzC1zWqHGw+ZBLvJDrPBDIvRAoP4b3inkTix3bBgNVivnwDzRedWPlBIZtKVnHArZ3/j\naRiFZwwtku3OG2A+6+TKppU+xTy1blU5L3JFPIEko06aR55W7QrzhWfDevmYavnMIAES0I6A\nQbziVzek067PlLW8b98+5dVPXTukCUddySXnusZiwlFcLOxQacKRnJsikVaE54mcDVuEH2gb\nynt3T0s/0LFMOMIx+P/YAP/vwg90S+EHWvoXFop0dKr0A70CAWHaYhSu04yd2kdX0eQ8aMKx\nc+fOOplwhAslNxT6V60RfqB7w3LO6eFFoWOX8P/8+741cPkr/UDn2YQJi0ryb9ke6Qc6jo/w\n+phwhHft37AZ/tXCD3QL4Qd64CH18wO9cavwA/2+eBAwwjL67Jh+oIMmHKWlpaAJR/hspO44\naMIhvwNaJ5pwaE04sv1GbQMdOVSekQAJNCUCcrU5u/8hcDqdqNi7t9EO3di9M+RfvCSDdpgG\nHx6viu7LFHMOadIRJ9lMNvTLPzROjcoio/CXLf9SmYydO0D+JSMZO7WD7Za/J6MptkECJFBH\nAjThqCM4XkYCJEACJEACJEACJNA0CVCBbprzzlGTAAmQAAmQAAmQAAnUkQBNOOoIjpeRAAmQ\nAAnoi4B/+y74vvgWMsy5aVB/mA7prS8BdSiNEnjns29EAJ79gtdBaW/qo0PEFKmREqAC3Ugn\nlsMiARIggaZEwPP6e3Dd+kCVmzoRKMY88lTYnrhXdWNlU2ITa6zezxfBecUtVcXCX7VRPHjY\nX50Bg/B0wkQCJBCbAE04YrNhCQmQAAmQQBoQ8K1YBdc/7wN8IhqhUwQtkn8icIv3P5/CHSf8\ndRoMTTMR5Wq9c/xNVbwkM8HPv3QFXHdM06xfNkwCjYUAFejGMpMcBwmQAAk0UQKeN+bJmMnV\nRy9WVL0z36qezxx4531UGc0ymoWIvOt990MExAo+EwmQQGwCKr84sSuzhARIgARIgAT0RiAg\n/Dorq88qggX27FPJZVZg5271EOMSjXjwCOyPETKc6EiABBQCVKB5I5AACZAACaQ1AWPfg6qH\nNT8wIkOX5PheTmtAKsIbe3atshePLs/JEgFf8qJzeU4CJBBGgAp0GAwekgAJkAAJpB8By6UX\nViqDBkOk8CYjbJOui8zjmULALKI5GkSIewhGEclihvWmq0WQw6j8iEo8IQES4DeE9wAJkAAJ\nkEBaEzC2KYD9vRdh6NiuchxSj87KhO2RO2E+/YS0HptWwksvG/b5M2Hs0/MAMwHNYoHlxqtg\nvfJirbpluyTQaAjQjV2jmUoOhARIgASaLgHTIX2Q9f1/4P9ro+IH2tijKwxWS9MFUouRGzu1\nR+bHb8K/ZZviB9rYrRPd19WCG6uQgCRABZr3AQmQAAmQQKMhYOzaqdGMJVUDMbZvC8g/JhIg\ngVoToAlHrVGxIgmQAAmQAAmQAAmQAAkIL5CEQAIkQAIkQAIkQAIkQAIkUHsCVKBrz4o1SYAE\nSIAESIAESIAESIAr0LwHSIAESIAESIAESIAESCARAlyBToQW65IACZAACZAACZAACTR5AlSg\nm/wtQAAkQAIkQAIkQAIkQAKJEKACnQgt1iUBEiABEiABEiABEmjyBKhAN/lbgABIgARIgARI\ngARIgAQSIUAFOhFarEsCJEACJEACJEACJNDkCVCBbvK3AAGQAAmQAAmQAAmQAAkkQoAKdCK0\nWJcESIAESIAESIAESKDJE6AC3eRvAQIgARIgARIgARIgARJIhAAV6ERosS4JkAAJkAAJkAAJ\nkECTJ0AFusnfAgRAAiRAAiRAAiRAAiSQCAEq0InQYl0SIAESSEMCZSPGwdG2f+Vf50HwvPdh\nGo6CIpMACZCAfghQgdbPXFASEiABEkg6AUeXIxFYurKqXbcHruvugPOOaVV5PCIBEiABEkiI\nABXohHCxMgmQAAmkD4GKiXcCLreqwN6Zb6nmM5MESIAESKBmAlSga2bEGiRAAiSQlgR8//kk\nrtyeT76JW85CEiABEiABdQJUoNW5MJcESIAE0p+Azxd3DIHtO+KWs5AESIAESECdABVodS7M\nJQESIIG0J2Do1S3uGKzjRsUtZyEJkAAJkIA6ASrQ6lyYSwIkQAJpTyDrk9h2zjUp12k/eA6A\nBEiABDQkQAVaQ7hsmgRIgAQamoBtyQLAYo4QwzDwEGR9+U5EHk9IgARIgARqTyDyV7X217Em\nCZAACZBAGhCwtG8Dy8Yf00BSikgCJEAC6UOAK9DpM1eUlARIgARIgARIgARIQAcEqEDrYBIo\nAgmQAAmQAAmQAAmQQPoQoAKdPnNFSUmABEiABEiABEiABHRAgAq0DiaBIpAACZAACZAACZAA\nCaQPASrQ6TNXlJQESIAESIAESIAESEAHBKhA62ASKAIJkAAJkAAJkAAJkED6EKACnT5zRUlJ\ngARIgARIgARIgAR0QIAKtA4mgSKQAAmQAAmQAAmQAAmkDwEq0OkzV5SUBEiABEiABEiABEhA\nBwSoQOtgEigCCZAACZAACZAACZBA+hCgAp0+c0VJSYAESIAESIAESIAEdECACrQOJoEikAAJ\nkAAJkAAJkAAJpA8BKtDpM1eUlARIgARIgARIgARIQAcEqEDrYBIoAgmQAAmQAAmQAAmQQPoQ\nMARESh9xKWkiBM4//3xYrVa88cYbiVzGukkiMHv2bLzyyiuYNm0ajjjiiCS1ymZqS2Dfvn04\n99xzcfTRR+O+++6r7WWsl0QCU6dOxTfffIO5c+ciPz8/iS2zqdoQ+Pnnn3HzzTfj4osvxvjx\n42tzCeskmcAll1yC/fv3Y/78+Ulumc01NAFzQwvA/rUjsH37dthsNu06YMtxCcgfza1bt6Ki\noiJuPRZqQ8Dv9yv89+zZo00HbLVGApK9/A54vd4a67JC8gk4nU6Fv/wtYmoYAjt27EBJSUnD\ndM5eNSVAEw5N8bJxEiABEiABEiABEiCBxkaACnRjm1GOhwRIgARIgARIgARIQFMCNOHQFG/D\nNn7MMcfAYrE0rBBNuPcuXbrgxBNPRMuWLZswhYYburT/l/wPPfTQhhOiiffcr18/xXyDpmQN\ncyO0aNFC+Q5069atYQRgrzjqqKNQXl5OEo2QADcRNsJJ5ZBIgARIgARIgARIgAS0I0ATDu3Y\nsmUSIAESIAESIAESIIFGSIAKdCOcVA6JBEiABEiABEiABEhAOwK0gdaObYO2vG3bNixatAgm\nk0nxg9u2bdsGlaepdS59EEv/t9LN+qBBg9CmTZumhkA34126dCnkfJx88sm6kamxC1JaWorv\nv/++2jBPOOEE7suoRkWbDOnGUc7Bn3/+CWmLLvcCGI1cM9OGdmSrK1euhHQjq5bk3qSsrCy1\nIualGQHaQKfZhNVG3ClTpuCHH37Asccei/Xr12Pjxo1KIAm5mYFJewJffPEFHnjgAUVxlj6g\nV69ejfvvvx8DBw7UvnP2EEFg586dGDdunKI8yIA2TKkh8O233+KOO+6otoH25ZdfRk5OTmqE\naMK9eDweTJ48Wfn9l0GcFi9ejLy8PMycOZNKdAruixkzZigLKOFdyYdKuZnwnXfeQWFhYXgR\nj9OUAFeg03TiYom9du3aUOSvgoICpdrdd98N+YWmAh2LWvLy5T9czz77LC6//HL87W9/Uxp+\n8MEH8cILL1CBTh7mWrUkV+DuvfdeGAyGWtVnpeQRWLduHQ4++GA89dRTyWuULdWawCeffAL5\nb4F8YJFegFwuF2Rk2s8//xzDhg2rdTusWDcC119/PeRfMEnF+dJLL8Xw4cOpPAehNIJPvs9p\nBJMYPoS9e/diwoQJCCrPsqx///6Q0ZAYtT2clDbHPp8P1113HUaMGBHqoHnz5iguLg6d8yA1\nBN58801FeZau7JhSS0Aq0L169Uptp+wtRGDevHmKwhx0oSndCEplmosoIUQpPXj66adht9tx\n5ZVXprRfdqYtAa5Aa8s35a0PHjwY8i88yVWH3r17cyUuHIpGxxkZGTjuuOOU1mUY4yVLlkD+\nYyYfaphSR0CuvkkF+sUXX8Rrr72Wuo7Zk0JAKtBSabv11luxZs0a5fdHPli2a9eOhFJAYNOm\nTZD7XmbNmoWff/4Z8iH+4osvRvfu3VPQO7sIJ7Bs2TK8//77eOmllyB90zM1HgJcgW48c6k6\nkjlz5mDFihWYOHGiajkztSNwzz334OGHH1ZeoUp7dKbUEJCvq6XpxrXXXovWrVunplP2EiIg\nbT3lG6+ioiLlTYw0Z5IbquR8OByOUD0eaENAmgvIvRdSeV6+fDnkpjU5H1dddRU2bNigTads\nNSYB+W/wgAED0LNnz5h1WJCeBKhAp+e81UpquWHk+eefVzaw8XVqrZAltdITTzyhrD4fdthh\nGDt2LEpKSpLaPhtTJyDtbjt16oTTTz9dvQJzNSWQnZ2NuXPn4rHHHlM8AJ111lm48847Id/I\nyLdhTNoSkGZkMsl5mD59Oi644AI888wzyM3NxRtvvKFt52w9goB8iJSeUM4999yIfJ40DgJU\noBvHPEaMQm6eeuSRRyCffB999FEMGTIkopwnqSMgd75Luzf5j5qaW6/USdI0epJeN6TJjNwL\nMGnSJOVPeiD47bfflGPpzo5JWwJy06Zc+Q9/Xd21a1e0atUqpmsvbSVqWq1LLyfSfOb4448P\nDVzOibR/3rJlSyiPB9oT+PDDD5Gfn89/g7VH3SA9UIFuEOzadipfX0tlTa46yA2ETKkjIF+R\nnnfeeZB+uIPJ6XQqCjQ3cQaJaPcpN+pIk4EjjzwSffr0Uf6k/adcjZPnFotFu87ZskJAfgek\n68DNmzeHiEgTjt27d9MGOkRE24MuXbooZhvhvfz111/Km5nwPB5rS0C6k5UmNGYzt5tpS7ph\nWuesNgx3zXr96KOP8Nlnn+GWW26BtEWU9s/B1LdvXyWwSvCcn8kn0LlzZ8VNkXRld9NNN0Eq\nz3IHtnx9Gr25M/m9s8VmzZopyls4Cam4yT+p1DFpT0B+B+RmWvkduPnmm0PfAfkgc9JJJ2kv\nAHvA6NGjFdM9qbzJRRRpOiP90Y8fP550UkhAPkzSbWAKgae4KyrQKQaudXfSSbtM0oQjOn38\n8cfIzMyMzuZ5kgnccMMNmDp1KkaOHAlpTiPtceV8SAWCiQSaAgH5HZCbaM855xxluNKE49//\n/jd/f1I0+dJ1465du5RgKvLNl3wzc+ONN0IGVWFKDQFpRiYXseS9z9Q4CTASYeOcV45KBwTk\nP2Dy1V2LFi10IA1FIIHUE5CbqKTZjHwDw5R6AnLvhZwDGReAAYVSz589Nm4CVKAb9/xydCRA\nAiRAAiRAAiRAAkkmwE2ESQbK5kiABEiABEiABEiABBo3ASrQjXt+OToSIAESIAESIAESIIEk\nE6ACnWSgbI4ESIAESIAESIAESKBxE6AC3bjnl6MjARIgARIgARIgARJIMgEq0EkGyuZIgARI\ngARIgARIgAQaNwEq0I17fjk6EiCBehJwuVzYuHEjysrKQi3t2LEjItpkqCAJB+Xl5Up/MggP\nEwmQAAmQgD4JUIHW57xQKhIgAZ0QWLp0KWR0vWCQIimWDJJzyimnaCKhjCYq+/vqq680aZ+N\nkgAJkAAJ1J8AIxHWnyFbIAESaGIEBg0apISobmLD5nBJgARIgAQOEKACzVuBBEiABBIkMGPG\njASvYHUSIAESIIHGRIAKdGOaTY6FBEig3gQWLVqEDz/8ENu3b8dJJ52Erl27VmvzhRdegNvt\nxrXXXquU+f1+zJs3DwsXLkRxcTF69uyJM844A8cee2zo2ueff14JaX3kkUdi5syZWLduHY47\n7jiMGDEC7dq1C9XjAQmQAAmQgP4J0AZa/3NECUmABFJE4JFHHlGUWqkIOxwO3HjjjZg4cWK1\n3l966SU888wzofwbbrgBF1xwAX744QcYjUbMnj0bQ4cOxfTp00N1XnzxRTz44IM4+uij8eWX\nXyIrKwv33nsvDjnkEKxfvz5UjwckQAIkQAL6J0AFWv9zRAlJgARSQECuPE+ePBl///vfsWzZ\nMrz77rv45ZdfsG/fvri9l5aW4qmnnsI111yDlStXYu7cudi8eTP69u2LadOmwefzha5fsWIF\nxowZA9mXVKhlP1KRPvfccxEIBEL1eEACJEACJKBvAlSg9T0/lI4ESCBFBObPnw+TyaSsChsM\nBqXXNm3a4NZbb61RArnqvGrVKsXsQ1aW519//TU2bNigtBlsoHnz5pg6dWrwFIWFhZCr18uX\nL8eff/4ZyucBCZAACZCAvglQgdb3/FA6EiCBFBGQq8Pt27dHixYtIno8/PDDI86jT3JychQl\nWCrM0pZ54MCBmDJlCv766y9kZGREVD/44IOVFefwTGnCIZNcjWYiARIgARJIDwJUoNNjnigl\nCZCAxgT27NmD7Ozsar1EK9TVKogMaaqxYMECXHTRRdi0aRPuu+8+RZEeN24cvF5v6JK8vLzQ\ncfAgMzNTOSwpKQlm8ZMESIAESEDnBKhA63yCKB4JkEBqCBx22GGK8hvd27Zt26Kzqp1LO2cZ\nWOW1117Dzp07sWTJEmUzotxMKFemg2nLli3Bw9CnjHIo04ABA0J5PCABEiABEtA3ASrQ+p4f\nSkcCJJAiAtK9nNww+MEHH0T0OGfOnIjz6BNpvyw3AgY9bkj76SOOOALXXXedUlWG/Q4mucnw\nt99+C54qn1LJttvtyqbDiAKekAAJkAAJ6JYA/UDrdmooGAmQQCoJjB8/Hq+//jrkpwyUcuih\nh0JuLJQ+n+MluXIt/UU/9NBDyobBE088EatXr8YDDzygmIScfvrpoculv+izzz5baV9uUHzu\nuecU39GyX6vVGqrHAxIgARIgAX0ToAKt7/mhdCRAAikiIBVYGQxlwoQJuPzyy1FRUYG2bdti\n1qxZGDVqVFwp5OrzJZdcoviNlhXlKrRUwBcvXhyxKbFPnz4YNmwYhg8frthGyyAtUlkfPXp0\n3PZZSAIkQAIkoC8CBuF7lM5H9TUnlIYESKCBCUjlWdo+d+vWLSFJioqKFFd2nTt3hvTOEZ4G\nDRoEl8sF6e2jvLwc0rRDLcph+DU8JgESIAES0CcBKtD6nBdKRQIk0MgIhCvQjWxoHA4JkAAJ\nNDkC3ETY5KacAyYBEiABEiABEiABEqgPAdpA14ceryUBEiCBWhI47bTTInxC1/IyViMBEiAB\nEtAhAZpw6HBSKBIJkAAJkAAJkAAJkIB+CdCEQ79zQ8lIgARIgARIgARIgAR0SIAKtA4nhSKR\nAAmQAAmQAAmQAAnolwAVaP3ODSUjARIgARIgARIgARLQIQEq0DqcFIpEAiRAAiRAAiRAAiSg\nXwJUoPU7N5SMBEiABEiABEiABEhAhwSoQOtwUigSCZAACZAACZAACZCAfglQgdbv3FAyEiAB\nEiABEiABEiABHRKgAq3DSaFIJEACJEACJEACJEAC+iXw//eSAG8IUOWOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = drv))\n",
    "\n",
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = drv)) +\n",
    "  scale_colour_brewer(palette = \"Set1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JjWrFnDEfcm0qpVq5zyYAMEQAAEQAAE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pOuqhpzpNw8/wlO01zzRqpMe6xKbaNPIsr+d5OlB98knanKXuMYmUaO54mM/21HXr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\nW0VPFwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = drv)) +\n",
    "  scale_colour_manual(values=c(`4`=\"red\",f=\"blue\",r=\"blue\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Legend positioning\n",
    "\n",
    "`theme(legend.position)` to control legend position. `guides()` with `guide_legened()` or `guide_colourbar()` for legend display."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OF48MEHcfvtt+Ptt9/GkSNHcMkll6Cy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\nAiRAAiRAAjkE/h9Zo5QWtf05ogAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "base <- ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(colour = class))\n",
    "\n",
    "#p1 <- base + theme(legend.position = \"left\")\n",
    "#p2 <- base + theme(legend.position = \"top\")\n",
    "#p3 <- base + theme(legend.position = \"bottom\")\n",
    "#p4 <- base + theme(legend.position = \"right\")\n",
    "\n",
    "#?theme\n",
    "base + theme(text=element_text(color=\"blue\",size=4))\n",
    "\n",
    "#grid.arrange(p1,p2,p3,p4, nrow=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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VnKEUuoCbxYWKXbPfLipcdxC7xQWq1W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\nIAUNCacRJ1mg/Tg+hK+HsnwwxowZ5ugxFT4v3359YwwI0MuCt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l/SKNM6v1iw0Ozzp/YSkbwlyY9w3dkMZnC/kL25YnvO6/SSY6H2pZIC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/G5jT47wD2xWs9e+bEiW0g6PC+YUC/22GOP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\ndxIBERABERABERABEegEBP4P0IU6qszw5mwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(colour = class)) +\n",
    "  geom_smooth(se = FALSE) +\n",
    "  theme(legend.position = \"bottom\") +\n",
    "  guides(colour = guide_legend(nrow = 1, override.aes = list(size = 4)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Zooming\n",
    "\n",
    "Three ways to control plot limits:\n",
    " * Adjusting what data are plotted\n",
    " * Setting limits in each scale\n",
    " * Setting `xlim` and `ylim` in `coord_cartesian()`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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AmQQJMIIDwdwtSVlJQ0aX/uRAJWJEAB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\nQAIkQAJxEPh/AnW9TS94AqwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# asetting xlim and ylim in coord_cartesian\n",
    "ggplot(mpg, mapping = aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth() +\n",
    "  coord_cartesian(xlim = c(5, 7), ylim = c(10, 30))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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hIgAf8IUED7x4tbkwAJkAAJkIAtCMB1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\nO+p+knY/T9ExzM4J16Odz1P9fqPXEdelbnHEsuj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F46MsmJDg3gELNb4xwf0AAhudFXOd9IeM8G+MzKbPo3z6b/07epm+HA8v+A3XCrjM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\nBEiABEiABJIg8P8B+DdYiIFdsAUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# adjusting what data are plotted\n",
    "# however geom_smooth will plot regression over subsetted data\n",
    "filter(mpg, displ >= 5, displ <= 7, hwy >= 10, hwy <= 30) %>%\n",
    "  ggplot(aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QsXykMPPSTHH3+87Lzzzl1ec9ITAmgn9QZ1QQABBBBAAAEE8kBgzZo1sueee8q6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B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\n1rNgFKAqiSEAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dJSNGjAg4FvSiRYu8V3H0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\nAgS+AgEyN3iHJfSWVAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2 plots use subsetted data therefore have different scales along hwy and displ\n",
    "suv <- mpg %>% filter(class == \"suv\")\n",
    "compact <- mpg %>% filter(class == \"compact\")\n",
    "ggplot(suv, aes(displ, hwy, colour = drv)) +\n",
    "  geom_point()\n",
    "\n",
    "ggplot(compact, aes(displ, hwy, colour = drv)) +\n",
    "  geom_point()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qYa3XqEU6OqHTGsXotnX3\nhGSfZIoAAggggAACCAQiQAAdiBbrhlzgf9VfeAXP7h3qMN5L676VNteP/Ui6l/EbAQQQQAAB\nBBAIpwABdDi12ZdfgbSENKt7dYfP9bR/6AQHp6xPHGYigAACCCCAQNgEiEbCRs2OeiIwJV/7\nb+wcQGvwfEDepJ5kwToIIIAAAggggEBIBeiFI6S8ZB6owKTcPeS4/kfKi1tfax/2M9mRLPlJ\nuXLl0AsDzY71EUAAAQQQQCAEAomJiSHI1XeWDkfnG2u+1wzfXALo8Fmzpx4KXLvD5bJf3t7y\nRsW7Uueql90yxstJRdMkKzGzhzmwGgIIIIAAAgiEUiAtLS2U2XfK2+VySTQF0gTQnQ4RM6JB\n4OD8yXJE8UGSnp4uVVVV0VAkyoAAAggggAAC2wVaWlqkrS08D/YnJSVJOO949+QgE0D3RIl1\nEEAAAQQQQAABBNoFmpubRYPocKSMjIyoC6B5iDAcR559IIAAAggggAACCMSMAAF0zBzK2KtI\nXWu9/NC4KfYqRo0QQAABBBBAwGgBmnAYffhis/Df1K2QC7+9yh7KW2to9f4s5w48VaYPOj02\nK0ytEEAAAQQQQMAoAQJoow5X7Be2vLlCTl16YXsXdlpjp/XqwQ2Pi/YFrYE0CQEEEEAAAQQQ\niKQATTgiqc++Owncsu4er+DZc4V/bHjC8yXTCCCAAAIIIIBARARi+g60dnuSn5/fa9jk5GRJ\nSEgQ7XvQxOQue18Mwl3v5Q0ru9xli6tVMnMzJSUhpct1ommBu8udrKws0SeITUx6DuXl5ZlY\n9PYy6/vYpPdAe8GtCfc5lJJixjnvWXadVntNubm59m8T/6fvAVPPHy27Ju0O1H0sTDsG+jmu\nP+HqLi3YPnoMtO9iU8+hYHvEUn4xHUA7nU5paGjo9fHKycmR+vp6aW1t7XUekdxQP3Q1+K+p\nqYlkMQLad0ZCerfrN9U1if4zIWnQrB9aeg6Fq6ufYLvoRd+k88ez/vqhpR396/vX1Dpo4KOp\nL9cxT5NwT+s1VL8E1NXVGRsA9evXz9jzR68/+jnQ1NRkX4fCffyDsT+9AaHlN/kaqkF0OK5B\n4R7YJBjH1+Q8YjqA1uCxL8GvfuPVILwveUTy5ND699Ug3OU/uehYuWHNXT53Oyx1sFHHwn3H\nRH+beg7pgdD3gJ5HpiX33TfT3gOezmqvXwRMPX/c7wEtv3vas34mTJt8/rjfAyZfg9Tf5M9h\n9zlu6nvYXX5+dxaI6QC6c3WZE+0CxxUeJW+UvScLaj71KmqqI0UeHHOH1zxeIIAAAggggED0\nCzQ0i7z1Vaos+T5JUq2WXXuPbJZJI1usGwTRX/auSkgA3ZUM8yMmcN+Y2+T1snfkP1telnpX\no+yWsbNcPuR8Y9o+RwyOHSOAAAIIIBBlAtUNDrnx2Wypqrf+mtamEbNLlqxPks9WtciFR9Qb\nG0QTQEfZiUZxtgkcUXCwTCs5wn74paqqChYEEEAAAQQQMFDgmY/SpNIKnp128KwV0GmRL9Ym\ny/9WJsteOwV3OPBZs2bJqFGj5I033pDNmzfLddddJ6NHjw66HN3YBZ2UDBFAAAEEEEAAAQRU\n4LPVKR7B848mGkQvWrWtp54f5/Z96rXXXpPzzz9fFi1aJLW1taIPooYicQc6FKrkiQACCCCA\nAAIIIGDfbfbNYDXpcIamEbT2YPTOO++0dwXqe/99m8sd6L75sXUIBdY3bpRlNd9KS1tw/7wT\nwiKTNQIIIIAAAgh4CIwe2CoJjs49OSUluGTc4NB8vu++++4hDZ61etyB9jjITEaHwMqGNfKH\nFTNkVeM6q6WUSGpCqlw++Hw5qfiY6CggpUAAAQQQQACBHgmcvG+DXD8nW6TNZf237Y5zohU8\nF+e1yQFjre45QpAKCgpCkKt3lgTQ3h68irBAZWu1nLXscqlz1tkl0e+sjW1Ncse6+yQzMUOO\n7n9ohEvI7hFAAAEEEECgpwID89vkhp/XyJyF6bJ8Q6IkW5HnXjs1y/F7NtrTPc0n2tYjgI62\nIxLn5Xlhy1xpsgLmNqubG8/kFKf8/YfZBNCeKEwjgAACCCBggECJFURfctS2G2MGFLdHRaQN\ndI+YWClcAt/Wr5Rml+82UZuaS8XpcoarKOwHAQQQQAABBBDwKcAdaJ8szIyUQHFKkdUwP1Fa\nrTvOHVNWYqYkOhI7zuY1AggggAACCCBgC8ydOzcsEtyBDgszO+mpwLT+h3dqvqHbJjuS5OeF\n03qaDeshgAACCCCAAAIhEyCADhktGfdGYMf0YTJjxJWSZAXM2vtGmvWTYP2bnLun/HrQ6b3J\nkm0QQAABBBBAAIGgCtCEI6icZBYMgZ8WTJG9cnaTBbWfSpOjWUYl7SATsnYORtbkgQACCCCA\nAAII9FmAALrPhGQQCoH+yf3kxOKjRUcTqqqqCsUuyBMBBBBAAAEEEOiVAE04esXGRggggAAC\nCCCAAALxKkAAHa9HnnojgAACCCCAAAII9EqAJhy9YmOjUAs0tzXL55VfS0tNqwx3DJailP6h\n3iX5I4AAAggggEAPBZKSksTh2DY0dw836fVqCQnRd7+XALrXh5MNQyWwqPpL+d2KG6Wurd7q\n9zlBmtta5LTiE+XyIeeH7c0aqrqRLwIIIIAAArEgkJqaGgvV6HUdoi+k73VV2DAWBDY1lcqF\n314lVc5qaXW1WsN6N1uDervkqdIX5cnNz8dCFakDAggggAACCBguQABt+AGMteK/sPVVK1zu\nnDSYfmTj050XMAcBBBBAAAEEEAizAAF0mMHZXfcC6xrXS4urxedKFa2V4nR1HuLb58rMRAAB\nBBBAAAEEQiRAAB0iWLLtncDQtMH2sN2+ts5PyrPaRCf6WsQ8BBBAAAEEEEAgbAIE0GGjZkc9\nETiu/1HisP51TDq095kDTuo4m9cIIIAAAggggEDYBQigw07ODrsTKEktkntG3Sw5iVmiQXNq\nQoodUP+i6Bj51YCfdbcpyxBAAAEEEEAAgbAI0I1dWJjZSSACe+VMlDd2e0aWNC6X5sQW2cEx\nRIpTCgPJgnURQAABBBBAAIGQCRBAh4yWjPsioHee98nbXdLT06WqqqovWbEtAggggAACCCAQ\nVAGacASVk8wQQAABBBBAAAEEYl2AADrWjzD1QwABBBBAAAEEEAiqAE04gspJZghsE2hwNsj7\npQulsrRGBkih7JE+QRKsYclJCCCAAAIIIGC+AAG0+ceQGkSZwJK65XLh8qukwdUkCVYfIq3W\n4C/D0gbJg6P/IgXJ+VFWWoqDAAIIIIAAAoEKcEssUDHWR6AbgQZnoxU8/0mqnDXS3NYsjW1N\nVgDdKmutERavXHFTN1uyCAEEEEAAAQRMESCANuVIUU4jBD6o+kQa2ho6lVXvQn9au1g2NZV2\nWsYMBBBAAAEEEDBLgADarONFaaNcYGtLudVsw/fbSudvaSmL8hpQPAQQQAABBBDwJ+D7k97f\nVixHAAGfAjukDZVW65+v5BKX1RZ6sK9FzEMAAQQQQAABgwQIoA06WBQ1+gX2tkZR3Cl9B0my\n/nmmZGtY8p8VTZWcpGzP2UwjgAACCCCAgIECBNAGHjSKHL0CDodD7ht1m+yRM8EupMPqhUOb\nbpxQ+FP5/ZDfRG/BKRkCCCCAAAII9FjA+zZZjzdjRQQQ6EogPzlX7h99u9QnN0ptUr3kNWdL\nijO5q9WZjwACCCCAAAKGCRBAG3bAKK45AkWp/WXH7GwpLy+XJmeTOQWnpAgggAACCCDQrQBN\nOLrlYSECCCCAAAIIIIAAAt4CBNDeHrxCAAEEEEAAAQQQQKBbAQLobnlYiAACCCCAAAIIIICA\ntwABtLcHrxBAAAEEEEAAAQQQ6FaAALpbHhYigAACCCCAAAIIIOAtQADt7cErBBBAAAEEEEAA\nAQS6FSCA7paHhQgggAACCCCAAAIIeAsQQHt78AoBBBBAAAEEEEAAgW4FCKC75WEhAggggAAC\nCCCAAALeAgTQ3h68QgABBBBAAAEEEECgWwEC6G55WIgAAggggAACCCCAgLcAAbS3B68QQAAB\nBBBAAAEEEOhWgAC6Wx4WIoAAAggggAACCCDgLZDk/TIyrzZs2CDz58+XxMREmTx5sgwcONCr\nIDU1NfLhhx+K/t57771l6NChXst5gQACCCCAAAIIIIBAuAQiHkBfe+218vHHH8v+++8vq1ev\nlvvvv19uuukmmTRpkm2g88455xwZMWKEDBo0SB588EF7+T777BMuI/ZjuMA7FR/Kvesfla0t\nZVKcUiSXDTlXJuXuYXitKH53Aqsa1soVK66XDU2bJMmRJPvn7i2373RNd5uwLAYEnv9ftixa\nnSatToeMKGqRUyZXSU56WwzUjCoggEC0CUQ0gF6+fLm8//77MmfOHCkqKrJtbrjhBpk1a1Z7\nAH3rrbfKMcccI5deeqk4HA7517/+JXfffbc8/fTT9utoA6U80SVw97p/yGOb57QXqqqhRn7z\n7VVy0aCz5JyBp7TPZyJ2BBZUfiq/+e6P7RVqcbXKGxXvycLPPpX3fvJC+3wmYkvgmjmFUl6X\nuL1SDln8fYJ8/Z8i+fPxpVKYQxAdW0eb2iAQeYGItoGuqKiw7y67g2flmDhxomzatElcLpeU\nlZXJsmXL5Nhjj20PlqdOnSra5GPp0qWR16MEUS2wpXmrV/DsWdi//zBbalvrPGcxHSMCl624\n1mdNqp21MmP13T6XMdNsgecXZW8Pnh1WRfRHk0PaXCL3vtVv20v+jwACCARRIKJ3oLUZRsem\nGPPmzZOxY8faAbMG0po820QXFBRISkqKlJaWyrhx49opvv/+e7nyyivbX+vEr371KznkkEO8\n5gXyQttkJyUl2cF8INtFy7oJCdu+H6mZiUn/4qB16G35H/n26W6r/XbDh3LW8JO7XacvC93+\n2dnZkpWV1ZesIratvgf69TMnAHE6ndLsaunSa17lBzKz4KYul0fbAvc5lJaWFm1F61F59Pqp\nKT8/v0fr93alL9Z29VHmkNLqpF5fQ7Q8+h7o7TWot/UJ1nZ6DdWUkZEhqampwco2rPmof3Jy\nsrGfw1p+TaaeQ2E92IbtrKurTkSq8cwzz8iXX35pt3PWAmzcuNF+03d842tAonevPVN9fb18\n+umnnrPk6KOPtoNtr5kBvnCf/AFuFlWr6xcOk1Nvj0Gjq6nbajdIY5/Pj253sH2hXvxNTiad\nPw3Ohm6pnS5nWI55t4WIw4WhPodand2hOvp8zENd/u5KH4xleg3t7XU0GPvvax4ml91dd9PP\nIXc9+P2jQNQE0I888og8+eSTcvPNN8vo0aPtEmrg0dra+mNpt0/pXSb9Ru2ZdJslS5Z4zrJ7\n7dAgvLcpLy9P6urqpKWl6ztavc07HNtp0xhtCrNly5Zw7C7o+9ALTnp6ulRVVfUq7/1T95KH\n5Ikut52cvLv9Ja3LFfq4QO8665e98vJyaWrqPpjv465CtnlhYaFs3brVqLs/DutP9y7rn680\nKn1ESI+5r332ZZ5e5/Quol6HTEx6DdX38ObNm6WtLXTtkIf3z5Mv1uldenfzDbeWSzJS2qxj\nXuqeEfBvfQ+YfA3VO5/ag1VtbW3AdY+GDXJzc6WhoUGam5ujoTgBl0HPH/1Lkr4HQp1KSkpC\nvQvy9xCIaBtoLYdeVP/yl7+I3n3+61//Kvvuu2978fr37y8aLOvdZc9UXV0tvk4U/XOh54/7\nz1ee2zIdPwK7ZI+V8Rnbvox1rPXk7D1kSNqgjrN5HQMCZw74hc9aaGA9c+SNPpcx02yBUyZX\nSqIdO3t+cdo2feq+vfsCbrYIpUcAgVALRDyAnjFjhixYsMDuvk4fIPRMgwcPtgNizzvL+lCh\nBt2e7aI9t2EaAU+Bx8f9XY7qN0WsP2Das5Os3yf2/6ncO+ZWz9WYjiGBS4acIxcM/JUkWP/c\nKS8xR/5v/KOSnWRmW3R3PfjtWyDLuvn85xNKpThH/2KpgfO2O8/nHVwhE4eZ+dcf3zVlLgII\nRItARJtwvPrqq/LWW2/J73//e/tPTNr+2Z3Gjx8v+qebww8/XGbPnm0/WKh3lx9++GE58sgj\nRf8sQkKgJwK37HiV6A8pfgSmDzpdfjPkTCkuLpbGxsZOz0zEj0T81LR/dpsVRG+NnwpTUwQQ\niKhARAPoZ5991q68NuHomF5//XW7nfP06dNF+4aeNm2a/UDhrrvuKhdffHHH1XmNAAIIIIAA\nAggggEBYBCIaQP/zn//0W0nt/mjmzJmi7Z71SdzMzEy/27ACAggggAACCCCAAAKhEohoAB1I\npXJycgJZnXURQAABBBBAAAEEEAiJgDEBdEhqT6YIxJlAdWuNzN74tLxXudDqtSBBDs0/QE4f\n8DNJT0wPmURZS4U8vOHfsqD6U0lLSLEf6jy5+DhJsaZDld4u/0D+vPqvUttWZ/W94RDtvm72\n2LtDWs9Q1aW7fN8of1fuXPegqHFaQqpM63+YXDnsok6bvLT1dXm+dK6Ut1bK+Mwxct7AU2WH\n9KGd1jN5RktbizxV+qLMLXtbGp2Nsk/uT+ScklOkMMXMgaRMPhaUHYF4ECCAjoejTB0RsASq\nWqvll0umy1Yr2Gp1betffW3jenmz4n15fOw9VnAZ/NHuNjdvsfb5a6l11rXvc1XDWnmn4kN5\naMydkpwQ/EvQ86WvyIy1M9uPufYJvbxhpRzw2Qmy8Cf/NXpAifZKWRP/2vgfmbn+ofZZdW31\n8nTp/8ni2mXy5Lh72+ffsPoueXnrG+K0/mna0LRJ3qqYL/+0/HfJGtu+nskTrdYAORcs/4N8\nVfdN+3n2Q+kmea3sHXlq3ANSklpkcvUoOwIIRKHAj/08RWHhKBICCARP4MEfHvcKnjXnFiuQ\nXmcF0XrnLhTp7u//IbWtte1BjXufS+q/lZfLXg/FLuWWtbN85tsqrfL7VbHRD7R25Tlrve9n\nSJZatvoFRdOXtUvlpa2vtQfPOs8pbdZxb7Hu0Hd+eFuXm5jmlr3lFTxrHfR41zrr5c7vHzCx\nSpQZAQSiXIAAOsoPEMVDIFgC71Uu8Apk3flqEP1OxQful0H9/WHV/6wwpvM4y3oH/L2KhUHd\nl2bW7Gy2A8SuMv5f9Y9dZXa1jgnz/1fzhRUGdz2ynzbZ0LSgapHVVMf3Xf7Vjd9LeUulCdX1\nW0Y9l9x/VfFcWe+6f2SdgyQEEEAg2AIE0MEWJT8EolSgq+GttbjWiO8kBAwW4AQ2+OBRdASM\nFCCANvKwUWgEAhc4MG+SJPm4G5lszTs4f9/AM+zBFpNz92gfBdJzdd3ngfn7eM4KynRKYoq1\nv64va7tnTwjKfiKdyZ7Zu1m1tMeu9lmUaQWH2/P3ydldnFb7YF9ph7Qh0i85z9ci4+YdkLeP\nz3NbRyCdlLOHcfWhwAggEP0CXX/SRH/ZKSECCAQgcIE1Ol9BUr5XoKGB7JDUQXKK1StGKNLl\ng8+XrKTMTvscmzFSphUcEYpdyh+H+R5oKUmS5M4d/xySfYY704SEBLlo0Dk+d6u2U/rtZy/b\nLXuc3TNHkmPbUPY6U4c41+N+/Q6/87m9iTOPtnofGZ852us8S7KC58zEDPnt0OkmVokyI4BA\nlAskXm+lKC9jr4unQ/i2tm7rbaA3maSlpUlLS4voAzsmJvegM/X19SYW3+4tITk5WZqamows\nf0pKij16ZkNDgzidvu8ChrNi7m7OWqw7ktqdXT8rmD6x8Gi5YcTvJaOLbuz0HOrL+aPB81Qr\nuGlsa5Qa62HC4pRC+WXRcXLN8EutbuySQ1L9nTNHyY7pO9htX/VhOe3GbqTVjd1LE2aL3qE2\nKen573A47OtQx3JPzB4vehdZHxRsamuW9IQ0OaHwp3L3yBu9Vj0of7IUJfe32zur+T65u8ut\nO/5JxmSO9FovFC/0Gqp1qKurs5oJha6ZRYLVJePRBYfYBtquWwPnQ/vtL7fteLUM6GMPHH19\nD4TCtad56uBjGRkZ0tzcbP/0dLtoWk/PIf0cj4ZraG9c9PzR97C+B0KdsrOzQ70L8vcQcFgX\ntdBd1Tx2FInJyspK0eCltykvL88+6TWINjEVFRXZH1pbtmwxsfiiAWh6erpUVVUZWf6srCzR\nC1p5ebmxXwIKCwtl69atIQ1+QnVw9S5tcXGx6BfpioqKUO0mpPlq8BOuD99QVESvofoe3rx5\ns7E3IvQ9YPI1tKCgQGpqaqS2tjYUhzjkeebm5tqf4/olwMSk549ei/Q9EOpUUlIS6l2Qv4cA\nTTg8MJhEAAEEEEAAAQQQQMCfAAG0PyGWI4AAAggggAACCCDgIUAA7YHBJAIIIIAAAggggAAC\n/gR897DvbyuWI4AAAnEiUNFSJX+zhszW0f100BntQu6KoRfIsLTBAQu0udrksU1z5BlryG3N\nV/O4aPDZsn/e3gHnxQa9E1jwXbrM+SRHGlv08VKRIQUtctFhZZLVi5Hsy1oqZOb3D4kOUqTd\nBe6VM1GuGHKBDEkb6FW4m9f8TZ7b8oo1qPy2R44GJBfJf8Y/KNlJWV7r8QIBBMwR4A60OceK\nkiKAQJgFap11curS38grZfOk2lkrDVZvIh9UfSInL/m1NQT6DwGX5tpVd8i9Pzwqm5q3SJOr\nWb5tWCWXfXedvLL1rYDzYoPABd5bli6Pf5hrB89ihc8u62ddWbJc82yx1dNDYPlpTzanLPmN\nvFb2jtRY50Z9W4PMr/zYOjemy4amTe2ZXbniJnl2y3/bg2ddsKmlVKZ8/vMZZ2qQAAAp6ElE\nQVT2dZhAAAHzBAigzTtmlBgBBMIk8PTmF2VrS7nXMNE6hHZzW4v87fuHAyrF0rpv5bXyt73y\n0gw0v9vW3WPNj3xXhwFVyMCVn/tfzvZSew5C45DmVoc8vyiwLsCe2PScVLRWWkPV/xh569Dh\njVaXgn9f/0i7zhsV77VPe07odjesustzFtMIIGCQAAG0QQeLoiKAQHgFFlR9ajfb6LhXDZQ+\nrfmy4+xuX39e85U1gInvvq9rnfWypmFdt9uzsG8C9VZ38q1t+pHnGTz/mOc3G1N/fNGDqY+q\nF3V5bnxS/YWdwweVn3Sb00IrDxICCJgpQABt5nGj1AggEAYBHXymq5SSENigLKmalzWgQlcp\n0Py6yof5vgWS7MEYux72IDmx62W+ctSBa7pKqdvPjdyk3K5Wsecnh2gwoW53ykIEEAiKAAF0\nUBjJBAEEYlHgiIKDrOGhfxwG211HHQr78H4Hul/26Pe+uXtJi9X0o2PSkHpwaokMTRvUcRGv\ngyiQYj0yn5mqo8r6DpQnjQxsxNYj+um50fk5fD03juh3sF3yXbJGW/e7u/7SdLI1KicJAQTM\nFCCANvO4UWoEEAiDwNSCw2RSzh5eQbQ2wxiSOkimDzo9oBKUWENKXzn0QjugSpBtl14NtvTO\ntA45TQq9wK8PLd8ezrqDaP3tkkH5LXLQ2MBGrT2+8CirR5ZdvYJoPZ7D04bKeQNPaa/MH4de\n1D7tOTE4pUROHnC85yymEUDAIIHOX58NKjxFRQABBEIpkOBIkJkjb7Qe/ntH5pXPl2ZXi0zK\n3UNOLDzaCnwDa8Kh5Typ+BgZk7mTPL9lrtUTR6mMyRgpJxcfJ8UphaGsBnlvFxhRaD24d2Kp\nPPlRnnxfbn15SXLJpJ0aZOrEwIe5TrT+MnHPqJtlbtnbVheHH9jtofez/sqggbVncxw95jul\nD5c/rbxNtraWS4r1Bezo/ofK1cMv5bgggIDBAgTQBh88io4AAqEX0CD6pwWH2D/B2NuErJ1F\nf0iREeif3SaXHlEelJ1rED2t/2H2T3cZ/iRngrw28d/drcIyBBAwTIAmHIYdMIqLAAIIIIAA\nAgggEFkBAujI+rN3BBBAAAEEEEAAAcMECKANO2AUF4HuBHQQhx8aN3a3ir2s3tkgDc5Gv+tF\n6wrNVj1rWuv8Fu+b6hVS1hycP9f73VkEV6hvcohTO5joJlW0VMrn1V93s0bwF9W21ssP9f7P\nx+Dv2X+OZTUJ0tjsf71grtGT4xTM/bmsZyRrrWcj2/ycG8HcZ7Dzqm6ttQYuCvOBCnYlyC8m\nBWgDHZOHlUrFm8Bma2joc5b9Vn5o3hasaNdZxxQcLteP+J0Xxde138iNa+6W76whpDVNyBwr\n1+3wW9kxfZjXetH6Qut54+q7ZEH1p/bQyNr921XDLpbJuXt6FfkPK2bImxXvt89LliT528ib\nZFLe7u3zYmFi/vIMeemzLKlrSpTEBJfsvWO9/HyvGklNdvcyIXbQfO7y39ojHrrrvEPqEHl+\nwiPul0H/vaJ+tUxffqWUtVbYeWuvI2cM+LlcMuTcoO8r0AxfWJQlby3JEpdLu5dzSU66Uy49\nvFxK8kM3EuTCFenygjXSYU1joiQ4XLL7Dg3yy32qJT3lx+MUaD38rf/esgx5+Yts0QFkkhKy\nZJ+dEuRne1WLdudnQtJBaG5be491Tdtk91wz2Xp497rhV0hRSn8Tik8Z40CAO9BxcJCpYmwL\ntLa1ynGLz2oPnrW2Luvf/5W9LldbT/6708qGNXL2N5fLiu3Bs87/uu4bOX3pxbKpqdS9WtT+\nrnXWya+ssn5c/bldPy3o+qaNcvG318gn1jx3+tPKW72CZ53fYg2b/Jvv/igbmza7VzP+99tL\nMuSZhTl28KyVcbY55OOVGXLvm/ntdau17t6dvfxyr+BZF65u+l6OXXxm+3rBnNA7hr9c8uv2\n4Fnz1uHKZ296Ru5dPzuYuwo4r//7NEve/NodPOvmDqluSJSbXyq0A82AM+zBBh99ly5PfJhr\nB8+6epsVuH+2Jl1mvlZgTfcgg16s8vpXmfLsJzlWnbZ9xLda58aCFRly/7x+vcgt/JssrPpM\nLv3uWjt41r3r9Uzn6fu/zhq1k4RANAgQQEfDUaAMCPRB4B8bnpBGl3WbyUeaWz6v/c+f961/\nVJyuNuuj6Mekr5pdzTJ74zM/zozSKe36rbK12hpE2/tOoQZnd657oL3Ur5a/3T7dceKK7/7c\ncZaRr1stgv/7LMcOxjwroEH0qi0p8s2GbV3snb/8D56LvabXNf0gra2tXvOC8eL2tX/vdIzc\n+Ub6PNPgufNQ3g47kJ3zSfejBrrrEMhvDZCf/5/v47ShMkkWr7NGpwxyarYO6SufZ1vvde8B\nXPTc+G5TiqzY7Hs4+SAXo0/Z3fn9A52+9On7vqK1Sl7Y8mqf8mZjBIIlQAAdLEnyQSBCAp/V\nfNXtnhfXLrOXL65b1ulDSRe0upzyeW1428Z2W+AuFn5Zs9Tqa7fzSH66+grr7rqmWqttd3dp\nbeOG7hYbs2xLTZK0OL0DJHfhtSnHurJtQdKaxvXu2T5/v1b5js/5fZmpf9XoKmkQpHeoI5Fq\nrSb/eve3q7RmS/ADy8r6BKlv7uJj1gqu3cepqzL1Zv7mqiRp7aLNs31ubA1+PXtTzu620b+W\n+Ur6/v+ydqmvRcxDIOwCXbyzw14OdogAAr0UyEnK7nbL4u1tBnMSu14vLymn2zyiYWF+cq7V\nktb3JSsjMd0uYtb2312VN60Xg590lVck52ekdBEhbS9Uxva2tf7qu1PasKBXIztJ7/J2nbIS\nMrpeGMIlafZNeStq7SKlp3a9rItN/M5Ot9ui+843wTqV3cfJb0YBrLAtz66+KDgkIwT1DKB4\nPVo1IyHN53r6/s9PCv5fCnzujJkI+BHw/WnkZyMWI4BA9AicNeAXXRYmKzFThqQNspfrCGlJ\n1lDDHZP1+Jkc2/+IjrOj7rUOZqJtITsmHT75aGuZO2V2E6D9vGiaezWjf+dmtMnw/s32A2kd\nK6J3WXcZsq2HlXMGnNxxsdfrMVmjvF4H48WpRSd0mc2glAGSoJFjBFKStdt+Wdr8p/M5pMWZ\nMjb4d8b1IcExJb6Pk/aaMnHYtuMUTI6CbKcM7tciDuthRV9p/ODg79PXfvoy76cFh4q+rzsm\nff//tGBKx9m8RiAiApG5kkWkquwUgdgU2CV7rJxUdEynyundmvtH/fgQoQ4ZPTlnDytctnoC\nsP4lWaOo6e+p1rDCOrRwtKefZO8iFwz8lf1Evn64ak8j+oVgZPoIuXTwue3Ff2znWfay9hnb\nJ4alDpZfDz6j42xjX599YKVkp7dZPSxooOSyf2sPD2cfUCkaYGs6teRE0Xr7Srfu8Cdfs/s8\n76j+U+TA3Emd8tEhrP8x+q+d5odzxmVHlFlOusdtZu7fuw5tlD1G+H6OoK/lO33/SsnPdHod\nJw1uf7VvlWiwG4p07kEVkp1mnRuJ24Jo/a3NN845sEKy0rbNC8V+g5XnZUPOs9/X+j5PsN7N\n7vf79EGny27Z44O1G/JBoE8CDpeV+pRDFG9cWVkpDQ3dt4nsrvh5eXlSV1cnLS2+2112t200\nLCsqKrK6anLJli1boqE4AZchJSVF0tPTpaqqKuBto2GDrKwsyc7OlvLycmlqCs2Hs2c9P7ae\nUv/nxqesB+2qZFTGjvK7ob8WX00ztHuoj6s/s+5eJsj+uXvLHjm7embjNV1YWChbt261zyOv\nBRF8sbTuW3m74kNpaGuQ3bLGyZT8/USHVPZM2hb6DytulOWNKyTVkSonFU6TM0u6vlPvuW00\nTWdkZFh3Eh32dchXuZpaHPLJqnTZaD2QpgHTniMapL+PoOzhDf+Wxzb9R5qs/nSLkwvl/tG3\ny6C0Ab6yDNq8N8vflzllL0u9dZzGp42Wy4ZcIP6alARt591kpA/ZPWc92LeqNEXSrKYwU3au\ns+4Ed/3+1PdAX6+hLdY+/7c6XdaXJ0tm6rbjVJQTmuDZXfVG69z4dG2WVDRkSWZyk0wYbAXs\n9h149xrR/dtpPZsxr2K+LGteISmuFDkoZ5KMzRwZ3YX2UTo9f/SvLps3h74HoJKSEh8lYFao\nBAigu5ElgO4GJwyLCKDDgOxnF9EYQPspcvti/dAqLi6WxsZGqaioaJ9v0oS/ADra66LXUP0S\nrMFDm6GjeQQjgI7UcdJraEFBgdTU1EhtbfCbqISjXrm5ufaNsOZmMwdTIYAOx1kSmX3QhCMy\n7uwVAQQQQAABBBBAwFABAmhDDxzFRgABBBBAAAEEEIiMAAF0ZNzZKwIIIIBAAAI6iM6yuu/s\nwXQC2Mznqtom+fuyJCmr8W4773NlZiKAAAI+BDr3E+NjJWYhgAACCCAQCYEG64HQG9bcJa+X\nv9u++6P6HSzXDr9c0v30+92+gcfEPGsI9JesURxb7Gf4HDIov0W014ri3NA+1OdRBCYRQCAG\nBLgDHQMHkSoggAACsSpw5cqbrV5XPvCq3ltW7wxXrbrFa15PXnywPF1eWKTBsw40sm2wER1S\n+865BdLQ3NXgIz3JmXUQQCDeBAig4+2IU18EEEDAEIFVDWvlg6pPrCHcrTYXHklfv1e5UNY0\nfO8x1//ky59ndxrO22UNPNPYkiALVmwbzdJ/LqyBAAIIiNVHOQkBBBBAAIEoFFjVsE50ABZf\nKdWRIqsa1/pa5HOe9pld0+i7zXNrm0M2Vvjej8/MmIkAAnEvQAAd96cAAAgggEB0CvRP7iet\nHe4+u0uqd6F1eU9TSpJLkrePzNdxGx2lLzeDNtAdXXiNAAJdCxBAd23DEgQQQACBCApMyBor\nA1MH2EPOexZDh6AfnFoi4zPHeM7udtoa0FH2HVVnD2ndcUUdj3fvHXs/am3H/HiNAAKxL0AA\nHfvHmBoigAACRgrocPP3jLpZCpMLJNlqyqHNNvR3UUqBzBp1kz0cfSAVO373Ghk9oMnaTu9G\nt9k/Sdbd53MOrJTCEA+tHUg5WRcBBKJfgG7sov8YUUIEEEAgbgWGpQ2WlyY8KvMrP5YfmjfZ\nd573z91bkhMCb7OcbH3iXXR4hazcnCxrtqZIekqb7DK4SbLT2+LWl4ojgEDvBAige+fGVggg\ngAACYRJISUiRQ/rtH7S97VjcIvpDQgABBHorQBOO3sqxHQIIIIAAAggggEBcChBAx+Vhp9II\nIIAAAggggAACvRWgCUdv5dgOAQSiWmBz8xb5fOMSSXGlyI6uIaLNAGIxrW1cLysb1kiB1aXb\nLlavFPrgXcfU6nLK4tqlUtVaLaMyRsggqweLWEzN1ngrq0pTpLnVIcMLWyQnito2r2/cKN82\nrJT8pDzZxepdJMnhu0/qnhyXmtZa+aJ2iTWWokN2zRon2UmZPdmMdRBAIIgCBNBBxCQrBBCI\nvIDL6pPszu8fkH9vfsEOmp1W8JiZkCF/3ek62SNn18gXMEglaGxrkqtX3iZvV35g906h/SWX\npBbLrJE3yQ7pQ9v3srx+hVzy7bVS1lJhB21NrmY5uuBQ+fPw31oP4sXOR8CS9anyz/fy7GG6\ntcs6p/Vc4JETamXaxNp2i0hMtLS1yPVr7pS5ZfO2Hyen3X/130bNkNEZOwZcpGdL/yt3rLuv\nfTsNoq8efokc0/+I9nlMIIBA6AU636oI/T7ZAwIIIBAygcc3PSvPlL4kLutfkxVkamBZ5ayW\nC7/9k+hd6VhJt6z5m8yvWmhXR4Nip7TJhqZNcsHyP1j1brbn17TWyfnf/F62tJRZy52i62l6\no/xd+dv6h+zpWPjf5qpEuX9evj0kt9MaVbDV6RAdovv1xVny4beRHaL77u//IW+Wv2czbztO\nTilt2SoXWMel1lkXEP+CqkVyy9pZ1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F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\n",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AACCCCAAALOE1i/fr1VqFatWjUqXPv27RvN0xkdOnRoNH/cuHGyePFi+eKLL2Tz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\nnYzVY6F2H46UPv/8c5k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xKxAAIIIIAAAggggAAC9QIE0PUWTCGAAAIIIIAAAggg\nEFGAADoiEQsggAACCCCAAAIIIFAvQABdb8EUAggggAACCCCAAAIRBQigIxKxAAIIIIAAAggg\ngAAC9QIE0PUWTCGAAAIIIIAAAgggEFHA4zcp4lIs4EqBk046SbKzs+W5555zZfndXuinnnpK\nnnjiCbnttttk//33d3t1XFf+TZs2yQknnCBDhgyRm266yXXlT4UC33DDDfLJJ5/I1KlTpUOH\nDqlQJVfVYfbs2XLFFVfIWWedJePGjXNV2VOlsGeffbYUFxfLa6+9lipVoh7bBDKRSF2BlStX\nSk5OTupW0OE104Pmf/7zHykvL3d4SVOzeD6fz/Jfv359albQBbVSe/0M1NTUuKC0qVfEiooK\ny1+PRaTkCKxatUo2b96cnI2zVVsF6MJhKy+ZI4AAAggggAACCKSaAAF0qrUo9UEAAQQQQAAB\nBBCwVYAuHLbyJjfzgw46SLKyspJbiDTe+k477STDhg2Tjh07prFC8qqu/f/Vv3///skrRJpv\nec8997S6b9CVLDk7Qvv27a3PwC677JKcArBVOeCAA6SsrAyJFBTgIsIUbFSqhAACCCCAAAII\nIGCfAF047LMlZwQQQAABBBBAAIEUFCCATsFGpUoIIIAAAggggAAC9gnQB9o+26TmvGLFCvn0\n008lIyPDGge3a9euSS1Pum1cxyDW8W91mPWBAwdKUVFRuhE4pr6zZs0SbY/DDz/cMWVK9YJs\n2bJFvvzyy0bVPOyww7guo5GKPTN0GEdtg0WLFon2RddrAbxezpnZox2a6/fffy86jGy4pNcm\nFRQUhHuLeS4ToA+0yxqsOcW97rrr5KuvvpKDDz5YlixZIr/99pt1Iwm9mIFkv8CHH34oN998\nsxU46xjQ8+fPl3/84x+y33772b9xthAisHr1ahk7dqwVPOgNbUiJEfjss8/k2muvbXQB7eOP\nPy6FhYWJKUQab6W6ulquueYa6/ivN3GaOXOmtG3bVh577DGC6ATsF/fee691AiV4U/qlUi8m\nnDZtmnTp0iX4LaZdKsAZaJc23PaK/dNPP9Xd+atz587WYjfeeKPoB5oAentq8Zuvf7gefPBB\nOf/88+W0006zMr7lllvkkUceIYCOH3OzctIzcJMmTRKPx9Os5VkofgK//PKL9O3bV+6///74\nZUpOzRZ49913Rf8W6BcWHQWosrJS9M60H3zwgRxxxBHNzocFYxP485//LPoIJA2czznnHBk1\nahTBcwAlBZ75PScFGjG4Chs3bpTzzjtPAsGzvrf33nuL3g2Ju7YHS9kzXVtbKxdffLGMHj26\nbgPt2rWTDRs21L1mIjECzz//vBU861B2pMQKaADdu3fvxG6UrdUJvPrqq1bAHBhCU4cR1GCa\nkyh1RAmdeOCBByQvL08uvPDChG6XjdkrwBloe30TnvvgwYNFH8FJzzrssccenIkLRrFpOjc3\nVw455BArd72N8ddffy36x0y/1JASJ6Bn3zSAnjJlijzzzDOJ2zBbsgQ0gNag7eqrr5aFCxda\nxx/9YtmtWzeEEiDw+++/i1738uSTT8rs2bNFv8SfddZZsuuuuyZg62wiWOC7776Tf/3rX/Lo\no4+Kjk1PSh0BzkCnTluGrcmLL74oc+fOlYkTJ4Z9n5n2Cfz973+X22+/3foJVfujkxIjoD9X\na9eNCRMmyA477JCYjbKVOgHt66m/eK1bt876JUa7M+kFVdoeJSUldcsxYY+AdhfQay80eJ4z\nZ47oRWvaHhdddJEsXbrUno2S63YF9G/wPvvsI7169druMrzhTgECaHe2W7NKrReMPPzww9YF\nbPyc2iyyuC70v//7v9bZ5wEDBsgf//hH2bx5c1zzJ7PwAtrvtkePHnL00UeHX4C5tgq0atVK\npk6dKnfddZc1AtDIkSPl+uuvF/1FRn8NI9kroN3INGk73H333XLyySfL5MmTpU2bNvLcc8/Z\nu3FyDxHQL5E6EsoJJ5wQMp8XqSFAAJ0a7RhSC7146o477hD95nvnnXfKgQceGPI+LxInoFe+\na783/aMWblivxJUkPbako25olxm9FuCqq66yHjoCwYIFC6xpHc6OZK+AXrSpZ/6Df67eeeed\npVOnTtsd2sveEqVX7jrKiXafGTp0aF3FtU20//Py5cvr5jFhv8Cbb74pHTp04G+w/dRJ2QIB\ndFLY7d2o/nytwZqeddALCEmJE9CfSE888UTRcbgDqaKiwgqguYgzIGLfs16oo10GBg0aJH36\n9LEe2v9Tz8bp66ysLPs2Ts6WgH4GdOjAZcuW1YloF461a9fSB7pOxN6JnXbayeq2EbyVxYsX\nW7/MBM9j2l4BHU5Wu9BkZnK5mb3SycmdVk2Ou21bfeutt+T999+XK6+8UrQvovZ/DqR+/fpZ\nN1YJvOY5/gI9e/a0hinSoewuv/xy0eBZr8DWn08bXtwZ/62TY+vWra3gLVhCAzd9aFBHsl9A\nPwN6Ma1+Bq644oq6z4B+kRk+fLj9BWALcvrpp1td9zR405Mo2nVGx6MfN24cOgkU0C+TDBuY\nQPAEb4oAOsHgdm9OB2nXpF04GqZ33nlH8vPzG87mdZwFLr30UrnhhhvkuOOOE+1Oo/1xtT00\ngCAhkA4C+hnQi2iPP/54q7raheO+++7j+JOgxtehG9esWWPdTEV/+dJfZi677DLRm6qQEiOg\n3cj0JJbu+6TUFOBOhKnZrtTKAQL6B0x/umvfvr0DSkMREEi8gF5Epd1m9BcYUuIF9NoLbQO9\nLwA3FEq8P1tMbQEC6NRuX2qHAAIIIIAAAgggEGcBLiKMMyjZIYAAAggggAACCKS2AAF0arcv\ntUMAAQQQQAABBBCIswABdJxByQ4BBBBAAAEEEEAgtQUIoFO7fakdAggggAACCCCAQJwFCKDj\nDEp2CCCAAAIIIIAAAqktQACd2u1L7RBAoIUClZWV8ttvv0lpaWldTqtWrQq522TdG3GYKCsr\ns7anN+EhIYAAAgg4U4AA2pntQqkQQMAhArNmzRK9u17gJkVaLL1JzogRI2wpod5NVLf30Ucf\n2ZI/mSKAAAIItFyAOxG23JAcEEAgzQQGDhxo3aI6zapNdRFAAAEEtgkQQLMrIIAAAlEK3Hvv\nvVGuweIIIIAAAqkkQACdSq1JXRBAoMUCn376qbz55puycuVKGT58uOy8886N8nzkkUekqqpK\nJkyYYL3n8/nk1Vdflbfffls2bNggvXr1kmOOOUYOPvjgunUffvhh65bWgwYNkscee0x++eUX\nOeSQQ2T06NHSrVu3uuWYQAABBBBwvgB9oJ3fRpQQAQQSJHDHHXdYQa0GwiUlJXLZZZfJxIkT\nG2390UcflcmTJ9fNv/TSS+Xkk0+Wr776Srxerzz11FNy6KGHyt133123zJQpU+SWW26RIUOG\nyIwZM6SgoEAmTZoke+21lyxZsqRuOSYQQAABBJwvQADt/DaihAggkAABPfN8zTXXyH/913/J\nd999Jy+//LL88MMPsmnTpia3vmXLFrn//vvlT3/6k3z//fcydepUWbZsmfTr109uu+02qa2t\nrVt/7ty5cuaZZ4puSwNq3Y4G0ieccIL4/f665ZhAAAEEEHC2AAG0s9uH0iGAQIIEXnvtNcnI\nyLDOCns8HmurRUVFcvXVV0csgZ51njdvntXtQxfW1x9//LEsXbrUyjOQQbt27eSGG24IvJQu\nXbqInr2eM2eOLFq0qG4+EwgggAACzhYggHZ2+1A6BBBIkICeHe7evbu0b98+ZIv77rtvyOuG\nLwoLC60gWANm7cu83377yXXXXSeLFy+W3NzckMX79u1rnXEOnqldODTp2WgSAggggIA7BAig\n3dFOlBIBBGwWWL9+vbRq1arRVhoG1I0WMDO0q8b06dPljDPOkN9//11uuukmK5AeO3as1NTU\n1K3Stm3buunARH5+vjW5efPmwCyeEUAAAQQcLkAA7fAGongIIJAYgQEDBljBb8OtrVixouGs\nRq+1n7PeWOWZZ56R1atXy9dff21djKgXE+qZ6UBavnx5YLLuWe9yqGmfffapm8cEAggggICz\nBQignd0+lA4BBBIkoMPL6QWDr7/+esgWX3zxxZDXDV9o/2W9EDAw4ob2n95///3l4osvthbV\n234Hkl5kuGDBgsBL61mD7Ly8POuiw5A3eIEAAggg4FgBxoF2bNNQMAQQSKTAuHHj5NlnnxV9\n1hul9O/fX/TCQh3zuamkZ651vOhbb73VumBw2LBhMn/+fLn55putLiFHH3103eo6XvSYMWOs\n/PUCxYceesgaO1q3m52dXbccEwgggAACzhYggHZ2+1A6BBBIkIAGsHozlPPOO0/OP/98KS8v\nl65du8qTTz4pp5xySpOl0LPPZ599tjVutC6oZ6E1AJ85c2bIRYl9+vSRI444QkaNGmX1jdab\ntGiwfvrppzeZP28igAACCDhLwGPGHmXwUWe1CaVBAIEkC2jwrH2fd9lll6hKsm7dOmsou549\ne4qOzhGcBg4cKJWVlaKjfZSVlYl27Qh3l8PgdZhGAAEEEHCmAAG0M9uFUiGAQIoJBAfQKVY1\nqoMAAgiknQAXEaZdk1NhBBBAAAEEEEAAgZYI0Ae6JXqsiwACCDRT4KijjgoZE7qZq7EYAggg\ngIADBejC4cBGoUgIIIAAAggggAACzhWgC4dz24aSIYAAAggggAACCDhQgADagY1CkRBAAAEE\nEEAAAQScK0AA7dy2oWQIIIAAAggggAACDhQggHZgo1AkBBBAAAEEEEAAAecKEEA7t20oGQII\nIIAAAggggIADBQigHdgoFAkBBBBAAAEEEEDAuQIE0M5tG0qGAAIIIIAAAggg4EABAmgHNgpF\nQgABBBBAAAEEEHCuwP8DuvCymtCQZUwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# can set limits in each scale\n",
    "x_scale <- scale_x_continuous(limits = range(mpg$displ))\n",
    "y_scale <- scale_y_continuous(limits = range(mpg$hwy))\n",
    "col_scale <- scale_colour_discrete(limits = unique(mpg$drv))\n",
    "\n",
    "ggplot(suv, aes(displ, hwy, colour = drv)) +\n",
    "  geom_point() +\n",
    "  x_scale +\n",
    "  y_scale +\n",
    "  col_scale\n",
    "\n",
    "ggplot(compact, aes(displ, hwy, colour = drv)) +\n",
    "  geom_point() +\n",
    "  x_scale +\n",
    "  y_scale +\n",
    "  col_scale"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Themes\n",
    "\n",
    "**ggplot2** has 8 themes by default, can get more in other packages like **ggthemes**. Generally prefer `theme_classic()`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "image/png": 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LaL8EwKhs9r9i+oKK9XNAc0BzQHasKBkDXQjzzyCJiql0lNuNDGuaa0YsUKUEPN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\n8H30CfK0S9SkOdASONDU8Zk4PmHCBBxxxBEK//kOx0S0VwJlSd4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ffKMcAlatWoW+fcte8iDFgx5i8hVmzpo6dSqMmJWM+fziiy9WCNBP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wj43WKAKKgCKgCCgCioAioAgoAl4IqAXa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\nX4HTXgizUDdqQiLM4lQnlkt7aZi89LAShQbQft1j4FY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Me1oPULbyK8v3GgTHY3KP6ZiM6eWFVdhLbF55pbhKKB6VX1l7Zxltg9uJlJ+X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\nICL+AiUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "base <- ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth(se = FALSE)\n",
    "\n",
    "p1 <- base + theme_bw()\n",
    "p2 <- base + theme_light()\n",
    "p3 <- base + theme_classic()\n",
    "p4 <- base + theme_linedraw()\n",
    "p5 <- base + theme_dark()\n",
    "p6 <- base + theme_minimal()\n",
    "p7 <- base + theme_void()\n",
    "\n",
    "grid.arrange(base,p1,p2,p3,p4,p5,p6,p7,nrow=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Saving your plots\n",
    "\n",
    " * `ggsave()` will save most recent plot to disk\n",
    " * `tiff()` will save next plot to disk\n",
    " * Other functions like `postscript()` for eps files, etc.\n",
    " * All can take `width`, `height`, `fonts`, `pointsize`, `res` (resolution) arguments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "Saving 7 x 7 in image\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n",
      "`geom_smooth()` using method = 'loess' and formula 'y ~ x'\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<strong>pdf:</strong> 2"
      ],
      "text/latex": [
       "\\textbf{pdf:} 2"
      ],
      "text/markdown": [
       "**pdf:** 2"
      ],
      "text/plain": [
       "pdf \n",
       "  2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ARKjQLtbk6pfqHoOgkqAS7d/YYp0O7G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d4EGjZKpo38evnJT/fSH4UOqsw/2Pe0SaHO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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 <- ggplot(mpg, aes(displ, hwy)) +\n",
    "  geom_point(aes(color = class)) +\n",
    "  geom_smooth(se = FALSE) +\n",
    "  labs(x=\"Engine displacement (L)\",y=\"Heighway fuel economy (mpg)\",\n",
    "    title = \"Fuel efficiency generally decreases with engine size\",\n",
    "    caption = \"Data from fueleconomy.gov\",\n",
    "    subtitle = \"Two seaters (sports cars) are an exception because of their light weight\",\n",
    "    colour = \"Car type\"\n",
    "  ) + x_scale + y_scale + theme_classic()\n",
    "p1\n",
    "ggsave(\"my_plot.pdf\")\n",
    "\n",
    "tiff(\"my_plot.tiff\",width=7,height=5,units=\"in\",pointsize=8,res=350)\n",
    "p1\n",
    "dev.off()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Some other useful visualization packages\n",
    "\n",
    "We don't have time in this workshop to get in depth to other workshops, but here are some more useful visualization packages that may be helpful for your research.\n",
    "\n",
    "## ggtree for phylogenetics\n",
    "\n",
    "Resources and associated packages:\n",
    " * [Data Integration, Manipulation and Visualization of Phylogenetic Trees](https://yulab-smu.github.io/treedata-book/index.html)\n",
    " * [treeio](https://bioconductor.org/packages/release/bioc/html/treeio.html)\n",
    " * [tidytree](https://cran.r-project.org/web/packages/tidytree/index.html)\n",
    " \n",
    "## cowplot\n",
    "\n",
    "Meant to provide publication-ready theme for **gplot2** that requires minimum amount of fiddling with sizes of axis labels, plot backgrounds, etc. Auto-sets `theme_classic()` for all plots.\n",
    "\n",
    "## Gviz for plotting data along genomic coordinates\n",
    "\n",
    "Can be installed from [Bioconductor](https://bioconductor.org/packages/release/bioc/html/Gviz.html).\n",
    "\n",
    "## phyloseq for metagenomics\n",
    "\n",
    "Website is [very comprehensive](http://joey711.github.io/phyloseq/)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some exercise solutions\n",
    "\n",
    "### Transforming Data\n",
    "\n",
    "2. Earlier we computed the average mileage with an explicit formula by taking city mileage + highway mileage and dividing the sum by two. How can you do this without typing out the exact formula? What happens if there are `NA`s? Feel free to experiment on the dataframe `ex2_df` to arrive at an answer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>&lt;NA&gt;</li>\n",
       "\t<li>3.5</li>\n",
       "\t<li>&lt;NA&gt;</li>\n",
       "\t<li>4.5</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item <NA>\n",
       "\\item 3.5\n",
       "\\item <NA>\n",
       "\\item 4.5\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. &lt;NA&gt;\n",
       "2. 3.5\n",
       "3. &lt;NA&gt;\n",
       "4. 4.5\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  NA 3.5  NA 4.5"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>5</li>\n",
       "\t<li>3.5</li>\n",
       "\t<li>10</li>\n",
       "\t<li>4.5</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 5\n",
       "\\item 3.5\n",
       "\\item 10\n",
       "\\item 4.5\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 5\n",
       "2. 3.5\n",
       "3. 10\n",
       "4. 4.5\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]  5.0  3.5 10.0  4.5"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 12</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th><th scope=col>avg_mileage</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>auto(l5)  </td><td>f</td><td>18</td><td>29</td><td>p</td><td>compact</td><td>23.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>1.8</td><td>1999</td><td>4</td><td>manual(m5)</td><td>f</td><td>21</td><td>29</td><td>p</td><td>compact</td><td>25.0</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>manual(m6)</td><td>f</td><td>20</td><td>31</td><td>p</td><td>compact</td><td>25.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.0</td><td>2008</td><td>4</td><td>auto(av)  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact</td><td>25.5</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>auto(l5)  </td><td>f</td><td>16</td><td>26</td><td>p</td><td>compact</td><td>21.0</td></tr>\n",
       "\t<tr><td>audi</td><td>a4</td><td>2.8</td><td>1999</td><td>6</td><td>manual(m5)</td><td>f</td><td>18</td><td>26</td><td>p</td><td>compact</td><td>22.0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 12\n",
       "\\begin{tabular}{r|llllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class & avg\\_mileage\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi & a4 & 1.8 & 1999 & 4 & auto(l5)   & f & 18 & 29 & p & compact & 23.5\\\\\n",
       "\t audi & a4 & 1.8 & 1999 & 4 & manual(m5) & f & 21 & 29 & p & compact & 25.0\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 4 & manual(m6) & f & 20 & 31 & p & compact & 25.5\\\\\n",
       "\t audi & a4 & 2.0 & 2008 & 4 & auto(av)   & f & 21 & 30 & p & compact & 25.5\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & auto(l5)   & f & 16 & 26 & p & compact & 21.0\\\\\n",
       "\t audi & a4 & 2.8 & 1999 & 6 & manual(m5) & f & 18 & 26 & p & compact & 22.0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 12\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; | avg_mileage &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| audi | a4 | 1.8 | 1999 | 4 | auto(l5)   | f | 18 | 29 | p | compact | 23.5 |\n",
       "| audi | a4 | 1.8 | 1999 | 4 | manual(m5) | f | 21 | 29 | p | compact | 25.0 |\n",
       "| audi | a4 | 2.0 | 2008 | 4 | manual(m6) | f | 20 | 31 | p | compact | 25.5 |\n",
       "| audi | a4 | 2.0 | 2008 | 4 | auto(av)   | f | 21 | 30 | p | compact | 25.5 |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | auto(l5)   | f | 16 | 26 | p | compact | 21.0 |\n",
       "| audi | a4 | 2.8 | 1999 | 6 | manual(m5) | f | 18 | 26 | p | compact | 22.0 |\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\n",
       "4 audi         a4    2.0   2008 4   auto(av)   f   21  30  p  compact\n",
       "5 audi         a4    2.8   1999 6   auto(l5)   f   16  26  p  compact\n",
       "6 audi         a4    2.8   1999 6   manual(m5) f   18  26  p  compact\n",
       "  avg_mileage\n",
       "1 23.5       \n",
       "2 25.0       \n",
       "3 25.5       \n",
       "4 25.5       \n",
       "5 21.0       \n",
       "6 22.0       "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rowMeans(ex2_df)\n",
    "rowMeans(ex2_df,na.rm=TRUE)\n",
    "mutate(mpg, avg_mileage = rowMeans(select(mpg,cty,hwy),na.rm=TRUE)) %>%\n",
    "    head"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Find all cars grouped by manufacturer, model, cylinder, and auto/manual transmission that improved on gas mileage (either city, highway, or both, you choose) by at least 1mpg between 1999 and 2008. (This one might take some time, if you just look at city mileage you should end up with 26 rows in your data frame.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A grouped_df: 26 × 12</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>manufacturer</th><th scope=col>model</th><th scope=col>displ</th><th scope=col>year</th><th scope=col>cyl</th><th scope=col>trans</th><th scope=col>drv</th><th scope=col>cty</th><th scope=col>hwy</th><th scope=col>fl</th><th scope=col>class</th><th scope=col>imp</th></tr>\n",
       "\t<tr><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;chr&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>audi      </td><td>a4                 </td><td>2.0</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>21</td><td>30</td><td>p</td><td>compact   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>audi      </td><td>a4 quattro         </td><td>2.0</td><td>2008</td><td>4</td><td>auto  </td><td>4</td><td>19</td><td>27</td><td>p</td><td>compact   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>chevrolet </td><td>c1500 suburban 2wd </td><td>5.3</td><td>2008</td><td>8</td><td>auto  </td><td>r</td><td>14</td><td>20</td><td>r</td><td>suv       </td><td>1.200000</td></tr>\n",
       "\t<tr><td>chevrolet </td><td>c1500 suburban 2wd </td><td>5.3</td><td>2008</td><td>8</td><td>auto  </td><td>r</td><td>14</td><td>20</td><td>r</td><td>suv       </td><td>1.200000</td></tr>\n",
       "\t<tr><td>chevrolet </td><td>k1500 tahoe 4wd    </td><td>5.3</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>14</td><td>19</td><td>r</td><td>suv       </td><td>1.500000</td></tr>\n",
       "\t<tr><td>chevrolet </td><td>malibu             </td><td>2.4</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>22</td><td>30</td><td>r</td><td>midsize   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>dodge     </td><td>caravan 2wd        </td><td>3.3</td><td>2008</td><td>6</td><td>auto  </td><td>f</td><td>17</td><td>24</td><td>r</td><td>minivan   </td><td>1.400000</td></tr>\n",
       "\t<tr><td>dodge     </td><td>caravan 2wd        </td><td>3.3</td><td>2008</td><td>6</td><td>auto  </td><td>f</td><td>17</td><td>24</td><td>r</td><td>minivan   </td><td>1.400000</td></tr>\n",
       "\t<tr><td>dodge     </td><td>dakota pickup 4wd  </td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>14</td><td>19</td><td>r</td><td>pickup    </td><td>2.000000</td></tr>\n",
       "\t<tr><td>dodge     </td><td>dakota pickup 4wd  </td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>14</td><td>19</td><td>r</td><td>pickup    </td><td>2.000000</td></tr>\n",
       "\t<tr><td>dodge     </td><td>durango 4wd        </td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>17</td><td>r</td><td>suv       </td><td>1.333333</td></tr>\n",
       "\t<tr><td>dodge     </td><td>durango 4wd        </td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>17</td><td>r</td><td>suv       </td><td>1.333333</td></tr>\n",
       "\t<tr><td>dodge     </td><td>durango 4wd        </td><td>5.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>18</td><td>r</td><td>suv       </td><td>1.333333</td></tr>\n",
       "\t<tr><td>dodge     </td><td>ram 1500 pickup 4wd</td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>17</td><td>r</td><td>pickup    </td><td>1.333333</td></tr>\n",
       "\t<tr><td>dodge     </td><td>ram 1500 pickup 4wd</td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>17</td><td>r</td><td>pickup    </td><td>1.333333</td></tr>\n",
       "\t<tr><td>dodge     </td><td>ram 1500 pickup 4wd</td><td>5.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>13</td><td>17</td><td>r</td><td>pickup    </td><td>1.333333</td></tr>\n",
       "\t<tr><td>honda     </td><td>civic              </td><td>1.8</td><td>2008</td><td>4</td><td>manual</td><td>f</td><td>26</td><td>34</td><td>r</td><td>subcompact</td><td>1.400000</td></tr>\n",
       "\t<tr><td>hyundai   </td><td>sonata             </td><td>2.4</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>21</td><td>30</td><td>r</td><td>midsize   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>hyundai   </td><td>sonata             </td><td>2.4</td><td>2008</td><td>4</td><td>manual</td><td>f</td><td>21</td><td>31</td><td>r</td><td>midsize   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>jeep      </td><td>grand cherokee 4wd </td><td>3.0</td><td>2008</td><td>6</td><td>auto  </td><td>4</td><td>17</td><td>22</td><td>d</td><td>suv       </td><td>1.333333</td></tr>\n",
       "\t<tr><td>jeep      </td><td>grand cherokee 4wd </td><td>4.7</td><td>2008</td><td>8</td><td>auto  </td><td>4</td><td>14</td><td>19</td><td>r</td><td>suv       </td><td>1.800000</td></tr>\n",
       "\t<tr><td>nissan    </td><td>altima             </td><td>2.5</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>23</td><td>31</td><td>r</td><td>midsize   </td><td>2.000000</td></tr>\n",
       "\t<tr><td>subaru    </td><td>forester awd       </td><td>2.5</td><td>2008</td><td>4</td><td>auto  </td><td>4</td><td>20</td><td>26</td><td>r</td><td>suv       </td><td>1.333333</td></tr>\n",
       "\t<tr><td>toyota    </td><td>corolla            </td><td>1.8</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>26</td><td>35</td><td>r</td><td>compact   </td><td>1.333333</td></tr>\n",
       "\t<tr><td>volkswagen</td><td>gti                </td><td>2.0</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>22</td><td>29</td><td>p</td><td>compact   </td><td>1.500000</td></tr>\n",
       "\t<tr><td>volkswagen</td><td>jetta              </td><td>2.0</td><td>2008</td><td>4</td><td>auto  </td><td>f</td><td>22</td><td>29</td><td>p</td><td>compact   </td><td>1.500000</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A grouped_df: 26 × 12\n",
       "\\begin{tabular}{r|llllllllllll}\n",
       " manufacturer & model & displ & year & cyl & trans & drv & cty & hwy & fl & class & imp\\\\\n",
       " <chr> & <chr> & <dbl> & <int> & <int> & <chr> & <chr> & <int> & <int> & <chr> & <chr> & <dbl>\\\\\n",
       "\\hline\n",
       "\t audi       & a4                  & 2.0 & 2008 & 4 & auto   & f & 21 & 30 & p & compact    & 1.500000\\\\\n",
       "\t audi       & a4 quattro          & 2.0 & 2008 & 4 & auto   & 4 & 19 & 27 & p & compact    & 1.500000\\\\\n",
       "\t chevrolet  & c1500 suburban 2wd  & 5.3 & 2008 & 8 & auto   & r & 14 & 20 & r & suv        & 1.200000\\\\\n",
       "\t chevrolet  & c1500 suburban 2wd  & 5.3 & 2008 & 8 & auto   & r & 14 & 20 & r & suv        & 1.200000\\\\\n",
       "\t chevrolet  & k1500 tahoe 4wd     & 5.3 & 2008 & 8 & auto   & 4 & 14 & 19 & r & suv        & 1.500000\\\\\n",
       "\t chevrolet  & malibu              & 2.4 & 2008 & 4 & auto   & f & 22 & 30 & r & midsize    & 1.500000\\\\\n",
       "\t dodge      & caravan 2wd         & 3.3 & 2008 & 6 & auto   & f & 17 & 24 & r & minivan    & 1.400000\\\\\n",
       "\t dodge      & caravan 2wd         & 3.3 & 2008 & 6 & auto   & f & 17 & 24 & r & minivan    & 1.400000\\\\\n",
       "\t dodge      & dakota pickup 4wd   & 4.7 & 2008 & 8 & auto   & 4 & 14 & 19 & r & pickup     & 2.000000\\\\\n",
       "\t dodge      & dakota pickup 4wd   & 4.7 & 2008 & 8 & auto   & 4 & 14 & 19 & r & pickup     & 2.000000\\\\\n",
       "\t dodge      & durango 4wd         & 4.7 & 2008 & 8 & auto   & 4 & 13 & 17 & r & suv        & 1.333333\\\\\n",
       "\t dodge      & durango 4wd         & 4.7 & 2008 & 8 & auto   & 4 & 13 & 17 & r & suv        & 1.333333\\\\\n",
       "\t dodge      & durango 4wd         & 5.7 & 2008 & 8 & auto   & 4 & 13 & 18 & r & suv        & 1.333333\\\\\n",
       "\t dodge      & ram 1500 pickup 4wd & 4.7 & 2008 & 8 & auto   & 4 & 13 & 17 & r & pickup     & 1.333333\\\\\n",
       "\t dodge      & ram 1500 pickup 4wd & 4.7 & 2008 & 8 & auto   & 4 & 13 & 17 & r & pickup     & 1.333333\\\\\n",
       "\t dodge      & ram 1500 pickup 4wd & 5.7 & 2008 & 8 & auto   & 4 & 13 & 17 & r & pickup     & 1.333333\\\\\n",
       "\t honda      & civic               & 1.8 & 2008 & 4 & manual & f & 26 & 34 & r & subcompact & 1.400000\\\\\n",
       "\t hyundai    & sonata              & 2.4 & 2008 & 4 & auto   & f & 21 & 30 & r & midsize    & 1.500000\\\\\n",
       "\t hyundai    & sonata              & 2.4 & 2008 & 4 & manual & f & 21 & 31 & r & midsize    & 1.500000\\\\\n",
       "\t jeep       & grand cherokee 4wd  & 3.0 & 2008 & 6 & auto   & 4 & 17 & 22 & d & suv        & 1.333333\\\\\n",
       "\t jeep       & grand cherokee 4wd  & 4.7 & 2008 & 8 & auto   & 4 & 14 & 19 & r & suv        & 1.800000\\\\\n",
       "\t nissan     & altima              & 2.5 & 2008 & 4 & auto   & f & 23 & 31 & r & midsize    & 2.000000\\\\\n",
       "\t subaru     & forester awd        & 2.5 & 2008 & 4 & auto   & 4 & 20 & 26 & r & suv        & 1.333333\\\\\n",
       "\t toyota     & corolla             & 1.8 & 2008 & 4 & auto   & f & 26 & 35 & r & compact    & 1.333333\\\\\n",
       "\t volkswagen & gti                 & 2.0 & 2008 & 4 & auto   & f & 22 & 29 & p & compact    & 1.500000\\\\\n",
       "\t volkswagen & jetta               & 2.0 & 2008 & 4 & auto   & f & 22 & 29 & p & compact    & 1.500000\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A grouped_df: 26 × 12\n",
       "\n",
       "| manufacturer &lt;chr&gt; | model &lt;chr&gt; | displ &lt;dbl&gt; | year &lt;int&gt; | cyl &lt;int&gt; | trans &lt;chr&gt; | drv &lt;chr&gt; | cty &lt;int&gt; | hwy &lt;int&gt; | fl &lt;chr&gt; | class &lt;chr&gt; | imp &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| audi       | a4                  | 2.0 | 2008 | 4 | auto   | f | 21 | 30 | p | compact    | 1.500000 |\n",
       "| audi       | a4 quattro          | 2.0 | 2008 | 4 | auto   | 4 | 19 | 27 | p | compact    | 1.500000 |\n",
       "| chevrolet  | c1500 suburban 2wd  | 5.3 | 2008 | 8 | auto   | r | 14 | 20 | r | suv        | 1.200000 |\n",
       "| chevrolet  | c1500 suburban 2wd  | 5.3 | 2008 | 8 | auto   | r | 14 | 20 | r | suv        | 1.200000 |\n",
       "| chevrolet  | k1500 tahoe 4wd     | 5.3 | 2008 | 8 | auto   | 4 | 14 | 19 | r | suv        | 1.500000 |\n",
       "| chevrolet  | malibu              | 2.4 | 2008 | 4 | auto   | f | 22 | 30 | r | midsize    | 1.500000 |\n",
       "| dodge      | caravan 2wd         | 3.3 | 2008 | 6 | auto   | f | 17 | 24 | r | minivan    | 1.400000 |\n",
       "| dodge      | caravan 2wd         | 3.3 | 2008 | 6 | auto   | f | 17 | 24 | r | minivan    | 1.400000 |\n",
       "| dodge      | dakota pickup 4wd   | 4.7 | 2008 | 8 | auto   | 4 | 14 | 19 | r | pickup     | 2.000000 |\n",
       "| dodge      | dakota pickup 4wd   | 4.7 | 2008 | 8 | auto   | 4 | 14 | 19 | r | pickup     | 2.000000 |\n",
       "| dodge      | durango 4wd         | 4.7 | 2008 | 8 | auto   | 4 | 13 | 17 | r | suv        | 1.333333 |\n",
       "| dodge      | durango 4wd         | 4.7 | 2008 | 8 | auto   | 4 | 13 | 17 | r | suv        | 1.333333 |\n",
       "| dodge      | durango 4wd         | 5.7 | 2008 | 8 | auto   | 4 | 13 | 18 | r | suv        | 1.333333 |\n",
       "| dodge      | ram 1500 pickup 4wd | 4.7 | 2008 | 8 | auto   | 4 | 13 | 17 | r | pickup     | 1.333333 |\n",
       "| dodge      | ram 1500 pickup 4wd | 4.7 | 2008 | 8 | auto   | 4 | 13 | 17 | r | pickup     | 1.333333 |\n",
       "| dodge      | ram 1500 pickup 4wd | 5.7 | 2008 | 8 | auto   | 4 | 13 | 17 | r | pickup     | 1.333333 |\n",
       "| honda      | civic               | 1.8 | 2008 | 4 | manual | f | 26 | 34 | r | subcompact | 1.400000 |\n",
       "| hyundai    | sonata              | 2.4 | 2008 | 4 | auto   | f | 21 | 30 | r | midsize    | 1.500000 |\n",
       "| hyundai    | sonata              | 2.4 | 2008 | 4 | manual | f | 21 | 31 | r | midsize    | 1.500000 |\n",
       "| jeep       | grand cherokee 4wd  | 3.0 | 2008 | 6 | auto   | 4 | 17 | 22 | d | suv        | 1.333333 |\n",
       "| jeep       | grand cherokee 4wd  | 4.7 | 2008 | 8 | auto   | 4 | 14 | 19 | r | suv        | 1.800000 |\n",
       "| nissan     | altima              | 2.5 | 2008 | 4 | auto   | f | 23 | 31 | r | midsize    | 2.000000 |\n",
       "| subaru     | forester awd        | 2.5 | 2008 | 4 | auto   | 4 | 20 | 26 | r | suv        | 1.333333 |\n",
       "| toyota     | corolla             | 1.8 | 2008 | 4 | auto   | f | 26 | 35 | r | compact    | 1.333333 |\n",
       "| volkswagen | gti                 | 2.0 | 2008 | 4 | auto   | f | 22 | 29 | p | compact    | 1.500000 |\n",
       "| volkswagen | jetta               | 2.0 | 2008 | 4 | auto   | f | 22 | 29 | p | compact    | 1.500000 |\n",
       "\n"
      ],
      "text/plain": [
       "   manufacturer model               displ year cyl trans  drv cty hwy fl\n",
       "1  audi         a4                  2.0   2008 4   auto   f   21  30  p \n",
       "2  audi         a4 quattro          2.0   2008 4   auto   4   19  27  p \n",
       "3  chevrolet    c1500 suburban 2wd  5.3   2008 8   auto   r   14  20  r \n",
       "4  chevrolet    c1500 suburban 2wd  5.3   2008 8   auto   r   14  20  r \n",
       "5  chevrolet    k1500 tahoe 4wd     5.3   2008 8   auto   4   14  19  r \n",
       "6  chevrolet    malibu              2.4   2008 4   auto   f   22  30  r \n",
       "7  dodge        caravan 2wd         3.3   2008 6   auto   f   17  24  r \n",
       "8  dodge        caravan 2wd         3.3   2008 6   auto   f   17  24  r \n",
       "9  dodge        dakota pickup 4wd   4.7   2008 8   auto   4   14  19  r \n",
       "10 dodge        dakota pickup 4wd   4.7   2008 8   auto   4   14  19  r \n",
       "11 dodge        durango 4wd         4.7   2008 8   auto   4   13  17  r \n",
       "12 dodge        durango 4wd         4.7   2008 8   auto   4   13  17  r \n",
       "13 dodge        durango 4wd         5.7   2008 8   auto   4   13  18  r \n",
       "14 dodge        ram 1500 pickup 4wd 4.7   2008 8   auto   4   13  17  r \n",
       "15 dodge        ram 1500 pickup 4wd 4.7   2008 8   auto   4   13  17  r \n",
       "16 dodge        ram 1500 pickup 4wd 5.7   2008 8   auto   4   13  17  r \n",
       "17 honda        civic               1.8   2008 4   manual f   26  34  r \n",
       "18 hyundai      sonata              2.4   2008 4   auto   f   21  30  r \n",
       "19 hyundai      sonata              2.4   2008 4   manual f   21  31  r \n",
       "20 jeep         grand cherokee 4wd  3.0   2008 6   auto   4   17  22  d \n",
       "21 jeep         grand cherokee 4wd  4.7   2008 8   auto   4   14  19  r \n",
       "22 nissan       altima              2.5   2008 4   auto   f   23  31  r \n",
       "23 subaru       forester awd        2.5   2008 4   auto   4   20  26  r \n",
       "24 toyota       corolla             1.8   2008 4   auto   f   26  35  r \n",
       "25 volkswagen   gti                 2.0   2008 4   auto   f   22  29  p \n",
       "26 volkswagen   jetta               2.0   2008 4   auto   f   22  29  p \n",
       "   class      imp     \n",
       "1  compact    1.500000\n",
       "2  compact    1.500000\n",
       "3  suv        1.200000\n",
       "4  suv        1.200000\n",
       "5  suv        1.500000\n",
       "6  midsize    1.500000\n",
       "7  minivan    1.400000\n",
       "8  minivan    1.400000\n",
       "9  pickup     2.000000\n",
       "10 pickup     2.000000\n",
       "11 suv        1.333333\n",
       "12 suv        1.333333\n",
       "13 suv        1.333333\n",
       "14 pickup     1.333333\n",
       "15 pickup     1.333333\n",
       "16 pickup     1.333333\n",
       "17 subcompact 1.400000\n",
       "18 midsize    1.500000\n",
       "19 midsize    1.500000\n",
       "20 suv        1.333333\n",
       "21 suv        1.800000\n",
       "22 midsize    2.000000\n",
       "23 suv        1.333333\n",
       "24 compact    1.333333\n",
       "25 compact    1.500000\n",
       "26 compact    1.500000"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "separate(mpg,trans,into=c('trans',NA),sep='\\\\(') %>%\n",
    "    group_by(manufacturer, model, cyl,trans) %>%\n",
    "    mutate(imp=cty-mean(cty)) %>%\n",
    "    filter(year==2008,imp>1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualizing Data\n",
    "\n",
    "1. Make a scatterplot of hwy vs cyl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eUO1k5VCCCAAAIIIIAAAiYIcAXahF6gDQgggAACCCCAAAIJI0AAnTBdRUMRQAAB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\nAAEEnBf4f/uXespqFz8YAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mpg) + geom_point(aes(x=cyl,y=hwy))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 3.5.1 (2018-07-02)\n",
       "Platform: x86_64-apple-darwin15.6.0 (64-bit)\n",
       "Running under: macOS  10.14.5\n",
       "\n",
       "Matrix products: default\n",
       "BLAS: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRblas.0.dylib\n",
       "LAPACK: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRlapack.dylib\n",
       "\n",
       "locale:\n",
       "[1] C/UTF-8/C/C/C/C\n",
       "\n",
       "attached base packages:\n",
       "[1] stats     graphics  grDevices utils     datasets  methods   base     \n",
       "\n",
       "other attached packages:\n",
       " [1] maps_3.3.0      ggrepel_0.8.1   gridExtra_2.3   forcats_0.4.0  \n",
       " [5] stringr_1.4.0   dplyr_0.8.3     purrr_0.3.2     readr_1.3.1    \n",
       " [9] tidyr_1.0.0     tibble_2.1.3    ggplot2_3.2.1   tidyverse_1.2.1\n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       " [1] pbdZMQ_0.3-3       tidyselect_0.2.5   repr_1.0.1         reshape2_1.4.3    \n",
       " [5] haven_2.1.1        lattice_0.20-38    colorspace_1.4-1   vctrs_0.2.0       \n",
       " [9] generics_0.0.2     htmltools_0.3.6    base64enc_0.1-3    rlang_0.4.0       \n",
       "[13] pillar_1.4.2       glue_1.3.1         withr_2.1.2        RColorBrewer_1.1-2\n",
       "[17] modelr_0.1.5       readxl_1.3.1       uuid_0.1-2         plyr_1.8.4        \n",
       "[21] lifecycle_0.1.0    munsell_0.5.0      gtable_0.3.0       cellranger_1.1.0  \n",
       "[25] rvest_0.3.4        evaluate_0.14      labeling_0.3       broom_0.5.2       \n",
       "[29] IRdisplay_0.7.0    Rcpp_1.0.2         backports_1.1.4    scales_1.0.0      \n",
       "[33] IRkernel_1.0.2     jsonlite_1.6       hms_0.5.1          digest_0.6.21     \n",
       "[37] stringi_1.4.3      grid_3.5.1         cli_1.1.0          tools_3.5.1       \n",
       "[41] magrittr_1.5       lazyeval_0.2.2     crayon_1.3.4       pkgconfig_2.0.3   \n",
       "[45] zeallot_0.1.0      ellipsis_0.3.0     xml2_1.2.2         lubridate_1.7.4   \n",
       "[49] assertthat_0.2.1   httr_1.4.1         rstudioapi_0.10    R6_2.4.0          \n",
       "[53] nlme_3.1-141       compiler_3.5.1    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": null,
   "lastKernelId": null
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  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}