C24Q3.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "C24Q3.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOkXg7Fj5ySWapnn22EzUFa",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "R"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/FMDR-YU/TESLA-EMR/blob/main/C24Q3.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Q3. Extract the diamonds that have very high and very low residuals.\n",
        "Is there anything unusual about these diamonds? Are the particularly bad or good, or do you think these are pricing errors?"
      ],
      "metadata": {
        "id": "s0QVSDqfBrcA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "library(dplyr)\n",
        "library(ggplot2)\n",
        "library(modelr)"
      ],
      "metadata": {
        "id": "C8W5vBhGB7cZ"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Comment:"
      ],
      "metadata": {
        "id": "_5LIGCglCHwN"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "YmYey6mbBXW0"
      },
      "outputs": [],
      "source": [
        "diamonds2 <- diamonds %>% \n",
        "  filter(carat <= 2.5) %>% \n",
        "  mutate(lprice = log2(price), lcarat = log2(carat))\n",
        "\n",
        "mod_diamond <- lm(lprice ~ lcarat, data = diamonds2)\n",
        "\n",
        "diamonds2 <- diamonds2 %>% \n",
        "  add_residuals(mod_diamond, \"lresid\")\n",
        "\n",
        "resid_quants <- quantile(diamonds2$lresid)\n",
        "\n",
        "filtered <- diamonds2 %>% \n",
        "  filter( \n",
        "    !((lresid < resid_quants[[\"25%\"]]) & (lresid > resid_quants[[\"75%\"]])) \n",
        "    )"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Draw boxplot"
      ],
      "metadata": {
        "id": "XEE1AhwRCQKX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "ggplot(filtered, aes(cut, price)) + geom_boxplot()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 437
        },
        "id": "Ola1hauNCE8d",
        "outputId": "e288aa05-8711-4800-895b-f8cba7cb95b5"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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8soLIQkvpuuhKuLX3I+GpKbPakFYSAu7NsXQhKXpivhuOKXnI+7hzHziWQhJDHS\n2Z5Ul7ftdrS3squE5DEkb9/tdSA3F/YNcbeGCImQbJ3eQhrqbQ1VCYmQbO6e2KeXUbg5+lEl\nJI8heXs+krsfZPVpFG5utFclJI8hHejsA0APNrj5ANCjdjwfaV/6YEgffFi4w0JIxS85p/Cu\nDI09hzo5DHRI7EG6uaDyUuwRutGQil/yjrJC2vZ24fSeDcUvOZ9f6Z5U7EHUMWGgcbEH6eb8\nyk9ij9CNhlT8kt8pK6R+cKm5uyf26S2L3dyxssqunceQDnO23eo9G9xcaRiufPRzXUeVkDyG\ndGO6Ek4tfsk5hes6Do49h+J3JAsh1S2TLXdGZwlLzkV37ebGHkQNIiQDIaV+cOby+8pYbk7h\nE6kt9hyKK2QthFT3jQNr+/9fKWHB+egnkpvfP0cRkoGQxFPpzT3uLn7J+ejBBjcnWw8hJAMh\nic+lK2Fm8UvOx90VshxssBCSCL83unmKin4iuTlFaDghGQhJnJauhCOKX3I+7nbtuEGkhZDE\n99OV8LXil5yP7tq5+UFWP5Hc7GtWCcljSNXbRlYqQy8rYcE5hcPfU2LPocKpH37O/agSksuQ\nqut+8KifZzE33hY3n0jHh4FGxR6kG0LyGFL1o6SUxeajj3Vxc/MTfYasmyu2qoRESE0Iu3YT\nYs+huGWxhZBS91606rYtZSw4n/A8onNiz6Gm8h3JQEii6yRZB9M2Fr/kfDrDJ5KbO1ZO5zuS\ngZDELelKOKv4JecUQpocew51YthM3DywqUpIHkMa7+yrtJ606uZW28+HgW6PPUg3hOQvJG8P\nGtMfZN2c/R327Q7qij1HN4RESBb9RBoZe5CGjctre5vHros9RneE5C+kA7wd3A3viptbFtd8\no3JN7BF6IiR/IX0pXQlLil9yPu6eIVtzT+X62CP0REj+Quqq325qgpvD33r2t6dzRAkpEyHV\nvXrMiP2m+3lfCKkJhOQvpDcmyDrY//nil5zPlvLeltwIKRMhiS84+45U5RPJRkj+QjrW2UGy\njYRkIyR/IS1MV8KhxS85H3c3P6kSkoGQxLJ0Jbi5IFUfNObpZGtCykRIInwiHVL8knMKJ62O\njT1HN4SUiZDElHQluLkgtSuEdELsQbohpEyEJCY5C0k/kabFnqMbQspESMLbDSL1bXFzXUeV\nkAyEJC5ytie1qby3JTdCykRI4oF0JVxR/JLz4cyGJhCSv5BOdfaV5E1CshGSv5C8fUfqIiQb\nIfkL6Yx0Jcwufsn56F2E3NxptUpIBkISP04fpPXN4pecU3hXJsSeoxtCykRI4uk0pHuLX3I+\neq7diNiDdENImQhJrHB2sIHfkZpASP5COjRdCUOLX3I++onk524shGQgJBEetuDmAXmd5b0t\nuRFSJkISbelKcHM/Rj2zgeuRMhCSv5Cmevtuz66djZD8hXSIs+9I+oOsm4GqhGQgJDHU2VeS\nLXwi2QjJX0gDnYWkn0h8R8pASP5C8naQTA82sGuXgZD8heTtE8ndU82rhGQgJOEtJP0dydOT\nJgkpEyEJrz/IcopQBkLyF9Ln0pUwtfgl58MpQk0gJH8hXZiuhPnFLzkfDcnNR2SVkAyEJBak\nK2Fc8UvOp4tPJBsh+QtpYroS3Dwgz9/DmAnJQEhiQroS/Nxqm1sW2wjJX0jeHsastyweH3uQ\nbggpEyGJ9EpzP2fk6HckPx+RhGQgJOEtJH2sC0ftMhCSv5CGl7YW8uETqQmE5C+k9nQl+DlH\ntMLBBhMh+QvJ28EGPfw9IfYg3RBSJkISg7zt2oWjdkfGHqQbQspESMLb2d/VI9N5vhZ7jm4I\nKRMhCW+fSNUXRsg4C7piz9ENIWUiJDHS2eHvavXlMytjrt8Se4ruCCkTIYn93YVUfb2yKPYI\nPRFSJkIS+3nbtSMkGyH5C2kEn0gmQspESGKMs9+RqoRkIyR/IY0iJBMhZSIkMZqQTISUiZAE\nn0g2QspESGJ/jtqZCCkTIQlvN9GvEpKNkPyFxFE7GyFlIiRxdLoSPF3+Q0gWQvIXUke6Ejzd\n/YqQLITkLyR27WyElImQhLeHMVcJyUZI/kK6Il0JJxa/5NwIyeIrpKGl7dT0pZA21m8jNOjF\n4pecGyFZfIX0ZnqV9c+LX3JfCil8Ii0ufsm5EZLFV0jVTe2VymFvlLDgvhSSt7sIVQnJ5iyk\narWjnJ9P+lJI7u7ZQEg2QvIX0mBCMhGShZCq49OO/NxplZBshPQxG5Z1yK3wVusAABfMSURB\nVMu7lx4189zOfb+WF9IX05COL37JuRGShZD29ticNfWQzl+xbuMli3bt87W8kJanIbl5GHOV\nkGz9PqTtP7q7mnzU7S883PWEhFRtX1v79Jn43L5eSwxpfhrSmOKXnBshWfp7SF/44wEDnkhO\nn9s9pXpIj0/eXfvj4jv29VpiSNPTkEYVv+TcCMnSz0O6dkD7V2oh3fx7F+8d0gNz5U/PuHZf\nr7U/bLyr5o13C3dQGtKQ4pec2+bK4tgj9HR/5cbYI/R0fuX52CP01DG2lMW+99tD+rvjk+21\nkJLP/eXHQpoXwtnHa+0Pj8jm/lRSOD37u/gl5/ZOZUnsEXp6qHJL7BF6WlV5NfYIPXWMLWWx\njYMDPUP69w+lIX3nU93+Yj2kJ9NduDv39ZqU94k0LezaFb/k3PhEsvTzT6Q/uzcN6Z//ZO+Q\n3mp/rfYf4o4X9/Wqf3MJ35G+nYZ0efFLzo3vSJZ+/h1p7KjfSEhv/c1Bjb+0tfpgR7W6PVl9\n8roNK0/Zvc/X8kLqrD/7csT64pecGyFZ+nlI3/t3f3HSgKOP+pNP/aDxl+a3iW8l76+ZM+vC\n2j+2r9fyQrox/UQ6t/gl50ZIln4eUvLdfxhQM/hfk7xKCGlhGtIhxS85N0Ky9PeQkqTz2We3\nJvmVENLENKThxS85N0Ky9PeQNl9Z+0NXt3PnHITEXYRshGRpbUiv/Pnv1/64fsCfr3UU0jFp\nSOOKX3JuhGTp5yFN/IsfyctLf3G4o5AuSUM6rvgl50ZIln4e0qdvSF+v+WNHIYWzvycVv+Tc\nCMnSz0P6w1vT16/+kaOQePSljZAsrQ1pv/E75WXboOGOQhpCSCZCsrQ2pAd+5zOLVp4979O/\n+4CjkA4gJBMhWVp8+PvBivwg+3ffzttRGSGtTkM6uvgl50ZIlv4eUpL86oWfbcudUSkhVeun\nf4/ZUMKS8yIkCyH1UhkhVW8dOfCKzjIWnBchWfpzSH91YfJXDa5Cqs4aUspicyMkS38Oacia\nZEgDIWUhJEt/DqkQhBQFIVlaG9Kw/IfrCCkmQrK0NqT/cSkhNYOQLP08pG/93298SEg2QrL0\n85BG/O2A3/9v/0sQUhZCsvTzkIaPOTAgpCyEZOnnIfUeIUVBSJZWh7Tl/htvfmALIWUjJEs/\nD+ntqb8nJ63+zqz3PlYIIXVDSJZ+HtLcT82/+b5vXtMx4HhCykJIln4e0n+6OX1d8aeElIWQ\nLP08pD/YnL4+4ulS8yohmQjJ0tqQ/t8P09cvjySkLIRk6echfXfg93cnyc5v//UzhJSFkCz9\nPKShnx7wHz7zmT8c8D//T95rkggpCkKytHjXbtjwbghpXwjJ0s9D6j1CioKQLIQkCMlASBZC\nEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKBkCyEJAjJQEgW\nQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQDIVkISRCSgZAshCQIyUBI\nFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZCEkQkoGQLIQkCMlA\nSBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKBkCyEJAjJ\nQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQDIVkISRCSgZAshCQI\nyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZCEkQkoGQLIQk\nCMlASBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKBkCyE\nJAjJQEgWQhKEZCAkCyEJQjIQkqWvhbTt7TLMGlLKYnP7ZWVx7BF6uq9yQ+wRejq/8pPYI/TU\nMbaUxb5TVkgflGL2kHKWm1dXZXHsEXp6oHJz7BF6uqDyYuwReuoYW85yywqJXbso2LWz9LVd\nO0KKgpAshCQIyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZ\nCEkQkoGQLIQkCMlASBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMh\nWQhJEJKBkCyEJAjJQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQD\nIVkISRCSgZAshCQIyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAk\nAyFZCEkQkoGQLIQkCMlASBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIg\nJAMhWQhJEJKBkCyEJAjJQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDCWGtKjSQoPvK+tf\ng5AEIRlKDOnQoSe0zBGVL5f1r0FIgpAMZYY0rtgtJMvDhKQIKQpCshCSICQDIVkISRCSgZAs\nhCQIyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZCEkQkoGQ\nLIQkCMlASBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKB\nkCyEJAjJQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQDIVkISRCS\ngZAshCQIyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiiH4W09qs353BO5ZQ8/9hXf2YPREhZ\nCKlXSgzpvFY+abKy2B6IkLIQUq+UGNKZla/c1SpfqxxrD0RIWQipV0oN6bVi35EM7xFSbxFS\nrxBSOQipgZB6iZDKQUiCkEpBSL1GSL1CSOUgpAZC6iVCKgchCUIqBSH12icPaUlbzdQkeffS\no2ae2/nx18AKadO6PI4YnOsf+2Up665KSGXpDyHNu7f2j72VJOevWLfxkkW7PvYaGCFtGtPK\n3+2HPlvKyiOksvSHkKb8uP5SbV9b+xSa+Nzer/q3GSGtrYxf0TJTKg+VsvIIqSz9IKQP2648\n6egLNySPT95d+1+L79j7Vf8+M6STil31Wb5ESNkIqdc+cUi/PvKyV19deeR7D8yV/3XGtXu/\n1v7w/dE1T+/O9HZrQ3oqe5qaV/Zv4a7mwHnmPLsvaGlIi+yB2loa0k32QPl0jC1lsTsbs3+S\no3a/mfrgA/PkT2oB7fVa+8MT7TXP7sz0VmtDejJ7mpp/qRwyu2X2H2TOs/P8loa00B6otSHd\naA+UT8fYUhb7UWP2T3T4e+FtT6a7cnfu/ap/R1/btft65autG2jOIHtfgV27cnjZtVt/Va29\n7VMfeau99j6/0/Hi3q/69xFSBkIy9IOQts1cs3nDhfM+SFafvG7DylN2f+w1IKQMhGToByEl\na8+cPvv8LUny/po5sy7c+vHXgJAyEJKhP4TUJELKQEgGQmogpAyEZCCkBkLKQEgGQmogpAyE\nZCCkBkLKQEgGQmogpAyEZCCkBkLKQEiGpkJ69fE8Djkg1z/2sjEMIQWEZPEW0tqhLTzNuDLY\nuKkzIQWEZPEW0guViataZmrlyexpCCkgJIu/kM5s3UCrCSkhJBMhWQhJEJKBkCyEJAjJQEgW\nQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQDIVkISRCSgZAshCQIyUBI\nFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZCEkQkoGQLIQkCMlA\nSBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKBkCyEJAjJ\nQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRkISRBSAZCshCSICQDIVkISRCSgZAshCQI\nyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyEZCEkQUgGQrIQkiAkAyFZCEkQkoGQLIQk\nCMlASBZCEoRkICQLIQlCMhCShZAEIRkIyUJIgpAMhGQhJEFIBkKyEJIgJAMhWQhJEJKBkCyO\nQxq/omWmEFI2QrI4DqmlCCkTIVkIiZCaQEgWxyENb2+ZAwgpGyFZHIfEwYZs/kIaekLLTCck\nRUgZ+mZILd0ZJ6SAkDIQEiE1i5Ay9M2QhsxumQ5CUn0vpNVPtczkPhkSBxsyEFLw9ZbuuBBS\nNkJqICRCyo+QGgiJkPIjpIa+F9I5D7XMRELKRkgNfS8kjtplI6QshBQQkoWQshBSQEgWQspC\nSAEhWQgpCyEFhGQhpCyEFBCShZCyEFJASBZCykJIASFZCCkLIQWEZCGkLIQUEJKFkLIQUuAw\npG+07LKORwnJQEiij4bUSoSUjZAEIRFSLxGSICRC6iVCEn00JL4jZSIkQUgWjtoZCEkQkoWQ\nDP0kpA8+zFRtbUiPZ09Tc39rQzLn+fC8loa00B7osJaGdIM5z+utDenF7Gl2NP7WgkPa9nam\nN1ob0iPZ09Tc3dqQzHnePrulIR1nDzShpSF9xZznZ60N6cfZ07zT+FvZtWvdQOzaGdi1ayCk\nDIRkIKQGQspASAZCaiCkDIRkIKQGQspASAZCaiCkDIRkIKQGQspASAZCaiCkDIRkIKQGQspA\nSAZCaiCkDIRkIKQGQspASAZCaiCkDIRkIKQGQspASAZCaiCkDIRkIKQGQspASAZCajBDmn5X\nyywhpGyEZHEb0puDWnqTnMfMt4WQLISUJVZI1UfvzqN9cK5/7F/szYSQLISUJVpI+cwaUspi\nq4RkD0RIWQgpICQLIWUhpICQLISUhZACQrIQUhZCCgjJQkhZCCkgJIu/kKZe2TIzCalJhGTx\nF1JLEVJzCMlCSFkIKSAkCyFlIaSAkCz+QuJgQ26EVApCshBSswjJQkhZCCkgJAshZSGkgJAs\nhJSFkAJCshBSFkIKCMlCSFkIKSAkCyFlIaSAkCyElIWQAkKyEFIWQgoIyUJIWQgpICQLIWUh\npICQLISUhZACQrIQUhZCCgjJQkhZCCkgJAshZSGkgJAshJSFkAJCshBSFkIKCMlCSFkIKSAk\nCyFlIaSAkCyElIWQAkKyEFIWQgq+XvnShpaZQUjZCKmhr4V0d0tvkkZI2Qipoa+F9IvTTs5h\nceWgPP/YyVfZAxGSgZB6obyQ8nm9sqisRROSgZB6gZBK0VxII25qmbMISRFSL7kLaUpLv0Xe\naM5DSL1ASKVoKqQXcz1Q/vjKNXn+sfs3mfMQUi8QUimaCimf8ypPl7RkQuoFQioFIVkIqVyl\nhnT3U63yKCEZCKlcJYZ0Tku/2x9f1r8GIfUSIfXSc5d8PocTK8fk+ce+8HhZ/xrlhfTTlv6X\npvJU9jSE1CslhpTPPZXrY4/QU3khbTrxiDyGDcn1jy3+ZfY0hNQrhGQpL6ScOsaWslhC6hVC\nshASITWBkCyEREhNICQLIRFSEwjJQkiE1ARCshASITWBkCyEREhNICQLIRFSEwjJQkiE1ARC\nshASITWBkCyEREhNICQLIRFSEwjJQkiE1ARCshASITWBkCyEREhNICQLIRFSEwjJQkiE1ARC\nshASITWBkCyE5DKk61aXstjc1o9eHnuEnp5e9a+xR+iJkFyG9FFSymJz+1WyI/YIPW1L3os9\nQk/bk7djj9DTzl2lLJaQeoWQLIRESE0gJAshEVITCMlCSITUBEKyEBIhNYGQLIRESE0gJAsh\nfVLvXnrUzHM7CSkuQrK4D+n8Fes2XrJoFyFFRUgW7yFV29fWPpUmPkdIURGSxXtIj0/eXfvj\n4jsIKSpCsngP6YG58sczrq39YeNdNW+8W4ZdSSmLze29ZGfsEXrannwQe4SePkzejz1CT7t2\nl7LY9woLaV4jpEfqDzjr3eKAPqVxcKC3IT2Z7trdmfCJFBOfSBbvn0hvtb+WJO90vKj/m+9I\nUfAdyeL9O1Ky+uR1G1aespuQoiIki/uQ3l8zZ9aFexZHSFEQksV9SHshpCgIyUJIgpAMhGQh\nJEFIBkKyEJIgJAMhWQhJEJKBkCyEJAjJQEgWQhKEZCAkCyEJQjIQkoWQBCEZCMlCSIKQDIRk\nISRBSAZCshCSICQDIVkISRCSgZAshCQIyUBIFkIShGQgJAshCUIyEJKFkAQhGQjJQkiCkAyE\nZOlrIZXj+tWxJ+hp+6rbY4/Q00urnow9Qk/3r+q0/6ZW+tKakv8f9ImQZg+JPUFP71SWxB6h\np4cqt8QeoadVlVdjj9BTx9iS/x8QUg6EZCEklwjJQEgWQhKEZCAkCyEBfQEhAQUgJKAAfSik\nnW3P2X9TFJ1t62OPYIg0oYu37Lf8u+9se6bo/y+OQ1raVvdd/d+7X3g32izVq4+ZNGvFI/v4\nv5a+mZ55fv1l55xb9/m3RJhQ3qCJx926Y99/R8y3LLn0nPSVkC7dJH4Te46aN2cufvzNV26d\n9E+//f9cekiPd/xKXp7oqO7r74gx4dLLq9VNj868tvglF4KQgqVfCX+y/qwZ08/eJPsJu9q+\nM//yCKOctuQjeXnitt3J2xfPmbz8paTxunbZlMWPlh3Srrn1c5LOvSDZevGcKaf9IqmviOVf\nrv21V9o7Y02YvkF3zk6n0dF2tz18+vyFa68/cc5d8pZtb3shSTa1ber+l1tDQtJ/9zDbnk2p\nX4Z0/Jrt769eXt/h7lj6iwifUFvbvtf482Xn/PqD66e/o6+756/Z3nV66d9Abpu/Wx4h/0yy\n7OJtO26ZvaO+Ih46orZXdd3p0SZM36B7ZiTp29IYbcX2Xacd8XjyTMevu4XU/S8XP8pvUwup\n8e+uszU2pX4Z0rsf1HZuJu6uh3RH5j9Skpfa1uqfrm17M0l2TH1EX19u21z7HCg9pK0Tn67V\ntGD3L9q21r55HPFYfUVsn/ZosnvuI9EmlDdo9+sLarsIMs2e0e5Pkpvm1cZre6VHSHv+cvGj\n/Da1kPTfvTFbY1PqVyG1d4jXkudPP/LII9p21kN6LMYkL7e9Vvvj9NowT/2gXZ5OuPB2fX2s\nfVeSvFH+MbHVFya7j747eSw9AHNnuiK+eFby4rQPok24dOLUqZMmXfZ+Up9mz2hP1ZpfJl9E\nXugR0p6/XPwov00tJP13b8zW2JT6VUiXrBc7Nh1+547kyRDSEzEm2db+ndof31y/ftoT6eZ5\nwq36+rC8ris/pOcnbn368G211RCOkdVXxKvtb119VbwJ5WhQ5y6dZs9oP/pYSBskpB+1PiT9\nd9fZ9mxK/SqksGv3WMfOJLk5ZkjJygXb5WX3tCfWtb1R2zuZ/LC+Pt+2Rf5jXP6vNCfc/fnL\naqnU94s2h5CSJXfNfinehI197/o0e0brEdLO2he75JlIIem/u862Z1PqjyG90vbih4+e1tYV\nMaQtc479/obXH1521KZk+cpt26+e/b6+7pi55t0NK1oQ0j1Lpr5cezljedfO+6e8FVbEPdOP\nizhhz5D2jNYjpOTYG5IPzosUUuPfPcy2Z1PqjyElN86YeeW7S4/YFC+kZOs1CyZNX3p77etA\n1wWzZ527Yc/rqydPXvxM2+ulT/D+lBPrg3x++rTlL+on0ruT7ow44V4hNUbrGdKzxy049em2\nX0YJqfHvrrM1NqX+FBJM6ye/HXsEpAip79rVeco/xp4BASH1XbdNXZNxnhtaipCAAhASUABC\nAgpASEABCAkoACEBBSCkf1ue5Q2Ng/X+b8uVvKFxsN77sgdH/sf/MvW1JPn7v5f/1fGnyfgB\nAwZUYk/VLxFSH/bg7xx06/Wf+a+b94T0844BP34p9lj9EiH1YQP/90dJ8tTvX7EnpGQ+b2gc\nrPe+61cDFoY/I6ToWO99108HrAx/RkjRsd77rp8NODv8GSFFx3rvu7YNmCcv67uSf/gb+ZMh\nhBQP670P+9tPb0uSl2s7eGP+8+4k6fzDWkjHDPgo9lT9EyH1Yff97pDbrv3LP9ucXD5g9Zaf\njP7rWkhnDzj367HH6pcIqS/79tA/+rNJP0+SHaf89z/4+3sX/XGS/PIfPvVXsafqlwgJKAAh\nAQUgJKAAhAQUgJCAAhASUABCAgpASEABCAkoACEBBSAkoACEBBTg/wMdVsAUjSjIeAAAAABJ\nRU5ErkJggg=="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "-xzl6wHkCF5r"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}