{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "plt.rc('figure', figsize=(10, 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = [5, 7, 8, 5, 6, 7, 9, 2, 3, 4, 4, 4, 2, 6, 3, 6, 8, 6, 4, 1]\n",
    "y = [7, 4, 3, 9, 1, 3, 2, 5, 2, 4, 8, 7, 1, 6, 4, 9, 7, 7, 5, 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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el2ns+Ima+OSYky43OdaatWv17gcfafSY8T6IEABQWVQuAfhU3779tWvXDj308KMa9chwJSUlnfS9P/60UmMnTNI99w7mCCIACBJULgH4lM1m08CBgzV79qu67pbb1bnTWerd82LVr/e/hxWUlJTom2+X6YN5H2n33n0acv9wNW3azM9RAwC8FUvlEoCv2Ww2XXPNDerV61J9+uknGjXmKe37c6+ioyJVVFSsZs3O0EW9Llfbtu1lt/vmqC8AgDkKqVwC8JfExCT17dtfffv2V2lpqRITI1VQUCqbzebv0AAApynczrmM8HcAAE7M4XAoJiaGxBIAEFSoXAIAAFiI2+IAAAAwDRt6AAAAYJpCHv8IAAAAs8Q0buzvEHyK5BIAAMBCRVQuAQAAYJaYJlQuAQAAYBIqlwAAADANay4BAABgGiqXAAAAME0M51wCAADALEeoXAIAAMAs0ay5BAAAgFmoXAIAAMA0VC4BAABgmiPrqFwCAADAJNGNqFwCAADAJEVULgEAAGCW6EaccwkAAACTFFO5BAAAgFnYLQ4AAADTsFscAAAApgm33eIR/g4AAAAAoYPkEgAAAKYhuQQAAIBpWHMJAABgIY4iAgAAgGmiOEQdAAAAZqFyCQAAANNEcYg6AAAAzELlEgAAAKaJCrND1EkuAQAALFRC5RIAAABmiaRyCQAAALNQuQQAAIBpItktDgAAALOUrFvn7xAkSe+++67ee+89SVJxcbHWrl2rpUuXKiEhwdRxSC4BAAAsFNmokb9DkCT16dNHffr0kSQ99thjuvzyy01PLCWSSwAAAEsFSuXyqFWrViknJ0cjR460pH+SSwDwo+LiYm3atFE7dmxTdLRDRUWlqlmzturWzVRkZKS/wwNgAleAVC6PmjFjhu6++27L+ie5BAJQWVmZ9u3bp+LiQzpyxFBiYpK/Q4KJDMPQypU/auG7b+mX75aqZnSU6kQ6FOe0q8Dt0fySUm0vKlbLDp3U4/Ir1KJFK9lsNn+HjUoyDEObNm3Q2rVrtWX9Oh3OO6SEpDglVamlevUbqHnzFnK5XP4OExZwB1DlMi8vTxs3blSHDh0sG4PkEggQRUVF+mrJYn215HNt2pij+NhYRUe7dCA3T67ISDVp1lIXXHiRmjZtRqIRxPbs2a1nxo1RwbrV6pmWqPvPbK4oh12S5HLaVeL2SJKKSkv11ZZ1emX4YCU1bam7HxiuKlWq+DN0nCbDMLR48WeaN+c1lfy5W63SEtQ4MVYJUS6V7TW0Yd1P+vDDQj1T7FHXnn3Up99ViouL83fYMJErgM65XLFihc466yxLxyC5BPzMMAx9/dWXeuXlF9SsQZau6XW+mja8S3GxsXI57SouKdXuvfu0/KeV+r/nJisuKVV3DxysatWq+zt0VNBPP/2gqY8+pMsSY3RpqyaKOMUfCdEOhy6sXVPdalbXu5ty9MBNV2vwmAlq0aKVDyNGZf355596ZuJYHdm4Rnc0z1LrjvWO++Pw2D8oth/M19vfLtTgRfN110OPqmXL1v4KGyZz/x44lctNmzapZs2alo5hMwzDMLPDffvyzezupNLT4302ViBh3qHF4/Ho+eemasO6VXrwzlvUsF72ca8f+4tH+t/t8vcXLNLs9z/WXffer7Zt2/s6ZMsYhqGcnPXauHGDIiNtKi21qVmzM1S1ajV/h2aKn3/+SVOGDtbwrJpqlHLiZQ5/v97H+m1/rsZt2akh46aoefMWVobqF6H4b3zXrp0aOeRuXZwWpStbNJQ9IuIf7znRNV+5Y4/Gfb9OA+4bpq7ndfNVuD7li+udnh5vaf8VseaSvj4Zp8kHb/tknPJQuQT8aMYL03Vw9zY9O2aUoqLK37wRERGhPhd3V9OG9fXw+ImKvP9hnXFGSx9Eap2ysjItXvyZPvrvf3Ro8yY1dLoUY7cpz2NoZnGxGpzZVr2vGqDWrc/0d6in7eDBXE0dOVwPZdY4aWJZnqapyRpilOnpkcM0ZdYcJSQkmhwlzFRYWKjHH/q3BtRK1MWNsirUtlWNDI3vEqUHpjyptPT0kPxjItyUBFDl0hdILgE/Wbr0a/2++mc9/+RjXiWWx2pYL1sPD7xDT02ZoKenvaC4uMD5C70iiouLNWnMY9q79GtdlJis5nWyZLPZ5HQ65HaXqsTj0Yp16/TM/ffpvOtu1IDrbwrK9aYvTpus86Ii1DQ1uVL9tEhLVecDB/V/z0zR4OHWHCECc7z60vNqHVlW4cTyqNrJiRrSpoGmPvWYnn7pP4qJiTE5QviSiyf0ALBacXGxZr70nB4ffHeFE8ujWjVvqk5tmmvOf1/XrbfdZXKE1jMMQ08/OVrF3y7V/bUz5TjRLUO7XZ2qZKi5O1lTXntFkdFR6td/gB+iPX3btm3V2m+WaHCbpqb0NyC7rm758nPtvum2kFkyEGq2bNmsHz6fr1curtymiXa1q6nFll2a98G76n/VNSZFB38IpDWXvkByCfjB0qVfqUHdmmrcoF6l+hnQ5xLdNORhDbjmhqCrbKxY8b22fr1Ew06SWB4rwenSvTVqadSM59XlvAuUnp7uoygr75N57+v85Di57HZT+ou023VeUqwWfvSBbrjlDlP6hLkWfvS+etZJV4zLWem++jXJ0rD356rvFVfJbtL3EHzP1TCwzrm02ql/ogOwxDdLFqtH186V7ic1OVlnNGqgFSuWmxCVb81/a466xcTJWU5ieVSSK1LtnZH6ZP48iyMz18pvlujsDHOT4bOrpOnnb5aY2ifMYRiGli/+VN3q1Talv8zUJKWoVL+HWeULwa3cyqWvHnIOhIv/7Yr+Q03vvN6U/po3qqecnD907rldTenPF/bs2aP1P/6gm+tUbD1a19RUTXr7TV197Q2K8DIp9afCwkL9uWe3atU1d0NG3YR47Vr3q4qLi3mKT4DZv3+/VFykqvGxpvXZKDFGGzbkqEkTc5ZWwPfcf4TXHwflJpe+esg5EC7y8g7JJkPJSebs9q1do4Z++HypKX35ys6d21UrMtLrquVRVaNj5N61Q/n5eUHx1KK9e/eoanTUCY+gqQxnRITSIl3at2+vatasZWrfqJxdu3aqVkKsqRvPasdFaeO2zab1B98Lt9viXq+59PYh58nJMXI4fLMuJJDOsPIl5h3cIiJKFB3lksvp3b+T8t4XE+WS3R5cn09srFNRDruczpP/CDrZa9FOhxISIoNivgcPRivS6fD6WkvlX++jIp12JSVFB8Xn4K1QmEtCQqQiXeZe82iXQ5GuiJD4fI4VavM5FSqXJ+HtQ85zcwsrFZC3QvHAXW8w7+B35EiZDuUfVmFRsRyOU/8TPNWh2kftO3BQTmd0UH0+bneEDhS75XaXnvD1o0cR/V1pWZnySkp05IjvHthQGUeOGMotKi73Gh7lzfU+KreoREVFRlB8Dt4IlX/jbneEDhw295r/ebhINkdw/RsvT7gdou5qyFFE/+CLh5wD4SIqKkppaenasn2nsutWftF/zqYtysyqb0JkvtOgQUMdcDq0u6hQVaO93+X+04H9atSitaKjoy2MzjwZGVV12GZTfolb8SbsHD4q90ixSp1OpaWlmdYnzFGrVm3tyD+sklKPXCbdxVufX6wO9RqY0hf8g8rlCfjiIedAOGnWvKWW/fBjpZNLwzD07Y8/657BF5kUmW84nU5d0Le/lrwxR/1rep9cLik8rMv7X2VhZOay2WzKbtREaw7sU/uqVUzr97cDuarXuGlQHigf6iIjI1Urq55+2bVXbWtV/hzSklKPftufp+vDrPIVapysufwnXzzkHAgn5194kcY98Yj6X9JTTufpV7RW/PyrnNGxatCgoYnR+Ub3i3tr8JtzdGZ+nrLjy98k+PXePSpIT1O7dsF1B6Vrr0u1aNp4U5PLRfsP6rwb7jGtP5irW+++mjf7eVOSy682blNW81ZBdbYr/qk0zI6S8iq5vOWWW6yOAwgrWVnZqluvkWa/+4Fu6N/3tPooLi7Rc6/+V1ffcHtQVrCqVKmiQWOe0uSHhuhmj0dNkk78aETDMPTl3r1aEGHoqYlTy12nGmg6deqs16ZO1IZDecpOrPxJG+sPHtKWCJc6duxkQnSwQudzu2ruKy/o5x171LJGxmn3U1ji1qtrt+qOxwaaGB38gcolAJ+4/Y57NOS+u9S8UUO1adG8Qm0Nw9C0ma+qbv3G6tAheJestGnTVkOfnq6Jjw5T2tbN6hITqyZJSYqzR+hQSYl+3P+nviwuUmTtOho3dryqVavu75ArLDIyUtff94CmjR+tSa2alvs0olMp8Xg0NWerbhr+WKUq3rBWVFSUbh8yXJPHPKxn05IVH+mqcB+GYeiFFavV9Nzz1aJFKwuihC+V/vG7v0PwKZJLwE9SUlL14LCRevLJURp44wCd27G9V+2OHCnWtJdnacvegxoxaqzFUVqvefMWevntD7V8+TJ9/OYczV63RqUet5yuKJ3RroMG9r1CzZqdEZTV2aO6dPmXvlv8uZ5b/ZMGNq53WnMpMww9u26DanU6V2efc64FUcJMbdu212+9+mn4J+9p7HlnVijBNAxDr/y4RuucSRp9G8sfQoGzYfAtXaoMm2EYhpkd+uqohFA5tqKimHfo2bBhvZ6e+JQa1q2u66+4XDWrVf3rtWOPKSkrK9Pyn37W86/NUb3GzXXHnfcqKirKX2FbKhSv95EjR/T40MFK37xedzXKVvQJbu+f7FiawtJSPbM2R4fqNdYjYyeG5FN5QvGaG4ah1155Scs+eFODzmyoNjWr/uM9f7/mewsOa+ry35SbXF2PjJmghARzHrYQaMLtKKK1Lcx9StfJNP7lF5+MUx6SyyDDvENTcXGx3n1nrhYt/Eh1alRV84b1VKdmDcVGR2l/7iGt37xF3/+8SvFJqep7xQC1a+ddlTNYher1Li4u1ozpk/Xbpwt0e+1qalMl7bgq5t8TDcMwtGLPPs3Ytlstu/fSLXfdG5KJpRS611ySfv75Jz03/gnVspWoZ1Y1tayR8Vcl0+W0q/CIW+v/PKBPNuzQV3sOqefVN6hP3yuDbn1xRYRbcplzRX+fjFNv7ps+Gac8JJdBhnmHNrfbrZUrf9KGnD+0Y/tWORxShD1SmVn11bRpM2VlZfs7RJ8I9ev9448r9PqzU+TetUPnJcaqfmKC6ibEKS7SpfwjJdqcn6/1B/P0RV6hIqvX0nX33KdWrdr4O2xLhfo1d7vdWrZsqT778B3l/L5GiY4IxbucMiJs2n6wQBnVa6pjt4t0QfceSk5O8Xe4lgu35PL3li19Mk7Dn3/2yTjlIbkMMsw7vDDv0GUYhtauXaNlX3+pjat+0bYtm1RW5pE9wqGadTOV3byFzurcVQ0bNgrq9abeCodrflRZWZl2796lwsJCZWQkyemMD9klLicTbsnlhv6+qVxmvxkYlcvQrbkDQACz2Wxq0qSpmjRp+tfXwinBCmcRERGqXr2GJK55uPCwWxwAAABmcTTgnEsAAACYxLOeyiUAAABM4gizcy5JLgEAACxE5RIAAACmsbPmEgAAAGYpo3IJAAAAs9jrh9eaywh/BwAAAIDQQeUSAADAQmU53BYHAACAScLttjjJJQAAgIWoXAIAAMA0VC4BAABgmrKcP/wdgk+RXAIAAFiIyiUAAABMw5pLAAAAmMZej8olAAAATFK2gTWXAAAAMAmVSwAAAJimbANrLgEAAGCSCCqXAAAAMItB5RIAAABmoXIJAAAA0xjsFgcAAIBZqFwCAADANKy5BAAAgGmoXAIAAMA0VC4BAABgGiqXAAAAMA+7xQEAAGAWW3YDf4fgUxH+DgAAAAChg8olAACAlTZyWxwAAAAmsWWzoQcAAABmoXIJAAAA04TZhh6SSwAAAAvZqFwCAADANKy5BAAAgFmoXAIAAMA8Way5BAAAgFk2BU7lcsaMGfriiy/kdrt11VVXqV+/fqaPQXIJAABgpazAWHO5fPlyrVy5UnPmzFFRUZFmzpxpyTgklwDgJ4ZhKCdnvRYsmKeVP/2okpIiuVzRatOmrXpc1FPZ2fX9HSIAE9gCpHL5zTffqEGDBrr77rtVUFCgBx980JJxSC4BwA9KSko0beokbdzwhy7peZFuv/EapfzZXgYAACAASURBVKcma9/+XH2x+EtNHD9GDRo10T33DJLT6fR3uAAqI0DOuczNzdXOnTv1wgsvaPv27brzzju1cOFC2Ww2U8chuQQAHysrK9PEiU8qNsqhV158Xi6XS5LkctpVJT1dV17RT5dd0ltjx0/Q05PH64EHh5v+wx+A7wRK5TIpKUlZWVlyuVzKyspSZGSkDhw4oNTUVFPHIbkEAB9btmypCvJyNWbEeDkcJ/4xHBkZqUeGPqR7Bg3R8uXL1KHDWT6OEoBpMgOjctmmTRu99tpruvHGG7V3714VFRUpKSnJ9HG8Si59sbMIAMLFwgUf6YrLLztpYnmU0+lUvz6Xaf4nH5NcAkHMtnm9v0OQJHXt2lUrVqxQ3759ZRiGRowYIbvdbvo45SaXvtpZBADh4MCB/dq6dbM6dezo1fs7n91JU599Xvn5eYqPT7A4OgBWMALonEurNvEcq9zk0lc7iwAgHOTl5SktNaXcquVRLpdLKcnJOnToEMklEKQCpXLpK+X+dKvozqLk5Bg5HOaXWE8kPT3eJ+MEGuYdXph3aCkuTlFpqVsu54l/Tp7o66WlblWvnhqyn8lRoT6/k2Heoc8IkDWXvlJuclnRnUW5uYWmB3ki6enx2rcv3ydjBRLmHV6Yd+ix22N1uPCI/sjZqLp16hz3mstpV4nbc9zX1udskMdjSIoK2c9ECu1rfirM29oxAoVtE5XL4/hqZxEAhAOHw6F/dbtQH370se69+65y3z/v4/nqdkEPRURE+CA6AJagcnk8X+0sAoBwceGFF+mB++9V2zPbqGP79id93zfffqtl36/QpMnP+DA6AGazbaFy+Q9s4gEA86SkpGrosJEaO2aU+vTeqJ4X9TjujlBu7kHNm/+xPvx4oR5+5DElJnK3CAhmRmZ4PcqVQ9QBwA/q12+gsU9O1Dtvv6nrb71DTRs3UmpKkvYfOKjf1q5T+/ZnaeyTk5SRUdXfoQJAhZBcAoCfVKtWXfcMHKSCglu0evUqOZ2G3G6b7r73QcXFxfk7PAAmsW3O8XcIPkVyCQB+FhcXrw4dzgrbncNAqOO2OAAAAExD5RIAAACmoXIJAAAA00RsoXIJAAAAk5TVpXIJAAAAk1C5BAAAgGmMuvX8HYJPkVwCAABYKGLrBn+H4FMklwAAABYqq0PlEgAAACahcgkAAADTlLHmEgAAAGahcgkAAADTGLWpXAIAAMAkEds45xIAAAAmCZbd4jt37jzl69WrV/eqH5JLAAAACwXLmstrrrlGNptNhmH84zWbzabPP//cq35ILgEAACxUFiRrLr/44gtT+iG5BAAAsFDE9uCoXB516NAhTZgwQVu3btW0adM0btw4DRs2TAkJCV61J7kEAACwkFE7298hVMijjz6qTp066ddff1VMTIyqVKmi+++/Xy+++KJX7UkuAQAALBSxLbgql9u3b1f//v01Z84cuVwuDRo0SL179/a6PcklAACAhYJlzeVRdrtd+fn5stlskqTNmzcrIiLC6/YklwAAAPjLwIEDde2112rXrl2666679PPPP2vs2LFetye5BAAAsFCw3Rbv1KmTmjVrpl9//VUej0ePP/640tLSvG5PcgkAAGChYLst3qVLF11wwQXq3bu3WrRoUeH2JJcAAAAWCrajiD766CMtWrRIkydP1p49e9SzZ0/17t1btWvX9qo9ySUAAICFymoF11FEiYmJ6tevn/r166dVq1Zp5MiReu6557RmzRqv2pNcAgAAWChi+0Z/h1AhBw4c0IIFCzR//nwdOnRIPXv21DPPPON1e5JLAAAACwVb5fKSSy5Rjx49NHToUDVv3rzC7UkuAQAALGTfEVyVyy+//FLFxcXaunWrDMNQUVGRYmJivG5PcgkAAGChsprBVbn8/vvvNWLECHk8Hr355pvq2bOnJk2apLPPPtur9iSXAAAAFooIssrl5MmT9d///le33nqr0tPTNXv2bA0ePJjkEgAAIBAE25rLsrIypaen//X/9epV7JxOkksAAAALBVvlsmrVqlq8eLFsNpvy8vI0e/ZsVa9e3ev2JJcAAAAWKquR5e8QKuTxxx/XmDFjtGvXLnXr1k0dOnTQ448/7nV7kksAAAAL2Xdu8ncIFZKamqrJkyefdnuSSwAAAAsFS+XyvPPOk81mO+nrn3/+uVf9kFwCAABYKCJIKpevv/66Kf2QXAIAAFiorGZwVC5r1KhhSj8klwAAABay7wiOyqVZSC4BAAAsFCxrLs1CcgkAAGChiF3BVbksLS3VN998o4MHDx739UsvvdSr9iSXAAAAFiqrkenvECpkyJAh2rlzp7Kzs4/bPU5yCQQpwzC0Z89ubd++TXFxLrndNmVmZikuLt7foQEATkPEzs3+DqFCfv/9dy1cuPC025NcAgFi+/Ztmv/+u/ry4w/lLClRdadLUU67DpWUanvxEWXUrqPu/a9S167dFBMT4+9wAQBeCrbKZXZ2tvbu3asqVaqcVnuSS8DP3G635rw+S5/Mfk3nOCP1cFq6UiOjJElOp0Nud6kMw9DveYf05dSn9c7MlzTwkVFq1aqNnyMHAHgj2CqXR44cUffu3dWgQQO5XK6/vv7aa6951Z7kMsAVFxfrm2+WaPFH72vf7p2KsNsUHR2nduddoAsuvEgpKan+DhGVcPjwYT0+dIica9doZPVaSjjmH/GxbDabGiUmqVFiktYczNWUIf/WJXcNVJ++/X0cMQCgooKtcnn77bdXqj3JZYAyDEMfvPuW3vvPy2oSH6krM6upTt0GinY5tPNggT7/8gP9e/YratP5X7p94GBFR0f7O2RUkMfj0RPDH1T6739oQO3MUz5y61hNkpI1NDpGE5+dpti4OF3Y/WKLIwUAhJN27dppyZIl+u6771RaWqr27durW7duXrcnuQxAhmHopeemKefL+Zp27hmqkfj/NnK4nHYlRUWpSdU03Vzi1gsrftQjQ+7RY+OnKi4uzo9Ro6Lef/ctuVf/qgF1srxOLI9KjozUwGo1NGHyBLVo2VpVq1azKEoAQGXZd232dwgV8tJLL2nRokXq1auXDMPQCy+8oPXr1+vOO+/0qj3JZQD68L23lfPlfE3s1k4xLudJ3xfjcmrQWS303PLVmvjECI18clKFkxT4x6FDB/X2i8/r4ao1TvuaVY2OUTeHSzOfm67hj481OUIAgFk81YPrtviHH36ot956S1FR/1v/f8UVV6hPnz4kl8GquLhY777+f5p27hmnTCyPstlsurNdM906f6nWrPlNTZs280GUqKxFnyxQC5tdaf//P9zT1bVKhoZ+85X27dun9PR0k6IDAJjJHmSHqBuG8VdiKUmRkZFyOLxPGb1656WXXqr4+P/dmq1Zs6aefPLJCoYJby1d+pUax7mOuxVenogIm3rVzdDCD94muQwS3y6cr8sSEyvdT5TdrpYOl5YvX6aePXubEBkAwGzBVrns0KGDBg4cqMsuu0yS9P7776t9+/Zety83uSwuLpYkvf7666cZIirii3nv6cqs6hVud36DOpo17ysVFhZyBmKAc7vd2rZ5o+rWNudZs5kup3JW/yqRXAJAQLLv3uzvEP7iTcHw4Ycf1pw5c/T+++/LMAx16NBB/ft7fzpJucnlunXrVFRUpJtuukmlpaUaPHiwWrZsWYFpoCL+3LNLtevWr3C7WJdLSZFOHTyYS3IZ4A4c2K+4CLtcdrsp/WVERWvlls2m9AUAMF9ZtcCoXJZXMDy6xGrXrl3q0qWLunTp8tdre/fuVfXq3hW/yk0uo6KidPPNN6tfv37avHmzbr31Vi1cuPCk996Tk2PkcJjzS7M86emh9zi8CLtN0S6HXM6Tf4Yney3S6VBiYlRIfi5S6FxvtztfLoddTqd361fKe5/L6ZDTaQ+Zz+eoUJuPt8J13lL4zp15h75AqVyWVzB85JFHNGPGDF1zzTXHbTY1DEM2m02ff/65V+OU+9stMzNTderUkc1mU2ZmppKSkrRv3z5Vq3bio09ycwu9Griy0tPjtW9fvk/G8qXo6DjtOlig5JNs9HA57Spxe/7xdU9ZmfblH5bbHRGSn0soXW+3264DR4p1pMQtezk7xY8+oedU9hUWKjo+O2Q+Hym0rndFhOu8pfCdO/O2doxAEShrLssrGM6YMUOS9O677yopKem4ttu3b/d6nHKTy7ffflt//PGHRo0apT179qigoIBdqRZq1/UCfbb4fTWpmlahdsu37FSNeg2VlJRsUWQwS0xMjFIzMrSrsFA1Y2Mr3d+WoiOq34KlKgAQqAKlcllewXDXrl0yDEO33XabXnrpJRmGIel/D/04moh6o9zksm/fvho2bJiuuuoq2Ww2jR07tkLb0VEx51/YQ/+ePVO3lLi9OoroqHkbd6n7rYMtjAxmanV2Z/04/+NKJ5eGYejnUrd68JxxAAhYnqqBUbksr2A4bdo0LV++XHv37tWAAQP++rrD4Thu/WV5ys0SXS6XJk2aVLHocdpSUlJ15rnd9PyKHzT4rBZeHbC9ZMM2bTGcevCss30QIczQo/dleuS9d9TD46nUxp5fcg8oMTNT9epVfBMYAMA37Hs2+zsESeUXDI/uHH/xxRd12223Sfp/6y0rghJkALrtnkEa8cC9eua7Vbq7fXNFRJz8oi7ZsE3PrNmukZOfk9PpfaUT/lWnTl21+Nf5eu/rr9S/Rq3T6qOotFRvHDygf48YxZOZACCAearW9XcIkrwvGJ5xxhm68sor9cYbb2jTpk269dZbNWHCBLVu3dqrcUguA1B0dLRGjZuiiU+M0C0fL1XvzAx1q19HcZEuSf/bvPPdlp2at3GnthmRGjn5OdWtGxgld3jv9nsHaeAP3yvrzz/VNq1ia2w9hqFXdmxT216XqhW3xAEgoNn3bPF3CBUybtw4jRs3TpKUlZWlF198UQ8++KDeeecdr9qTXAao2NhYjRg7UWvW/KZPPnxHsz5aokSXU1Euh/blH1aNeg3V47b71bFjJyqWQSo+PkEjJ0/XyHvvVN7uXTovo6pXFch8t1uzdmyTq2073TbwPh9ECgCojECpXHqruLhYDRo0+Ov/s7OzVVp66pNLjkVyGcBsNpuaNm2mpk2bqbCwUAcP5iopKVpud4QSE5PK7wABLzMzS0/NmKlJj4/Qz+vXq1dKqurHJ5wwySz2ePTdn3s17/Bhdb3yKl1/8+1srgOAIBBslcusrCxNmDBBl1xyiWw2mz766CPVrVvX6/b8ZgoSMTExiomJCdsz0UJZ9eo1NP7ZF7Vw4cea/Z9XVbZ1k7LtTlWPsCnK6dTB4hJtt0l/lBSrWYez9Oj1N6lhw0b+DhsA4KVA2S3urTFjxmjKlCkaMmSIHA6HzjzzTD3xxBNetye5BAKA3W7XxRf31kUX9VJOznrl5KzXtk0bVOaQolwxuqBeA93bqInSKrg2EwDgf8FWuUxMTNTIkSP/+n/DMLR9+/a/nkleHpJLIIDYbDbVr99A9ev/b60LlWoACH6eqnX8HUKFvPHGGxo/fryKior++lqNGjX02WefedWe5BIAAMBC9j1b/R1Chbz44ov64IMPNGXKFA0aNEhLlizRTz/95HV7kksAAAALBVvlMjU1VbVq1VLDhg31xx9/aMCAAZozZ47X7UkuAQAALBRslcvo6Gh99913atiwoT777DM1b95cR44c8bo9ySUAAICFgq1y+eijj+qtt97S0KFD9fbbb6tHjx665557vG5PcgkAAABde+21ev311/Xpp59q+PDhkqTp06dXuB+SSwAAAAsFy23x7du36+mnn9Y777yjsrKyf7zubfWS5BIAAMBCwXJb/Nlnn9XixYsr3Q/JJQAAgIXse7f5OwSvNGnSRE2aNFGzZs107rnn/vX1goICxcXFed0PySUAAICFPBm1/R1ChXg8Hk2YMEF33XWX+vbtqwMHDuihhx5Snz59vGpPcgkAAGChYKlcHvXss89qzJgxmj9/vs444wyNGDFC1157LcklAABAIAi2yqUkNWrUSNOnT1fv3r0VGxsrt9vtdVuSSwAAAAvZ9wbHbvGj0tLSNHr0aK1evVoTJkzQU089perVq3vdnuQSAADAQp4qwVW5nDRpkj777DNdd911iomJUa1atTRw4ECv25NcAgAAWMi+b7u/Q/DK4sWL1bVrV3322WeSpJUrV2rlypWKjY3Vp59+qksvvdSrfkguAQAALBQsay5XrVqlrl27avny5Sd8neQSAAAgANj3Bcdu8XvvvVeS1LNnT3Xq1Om41xYtWuR1PySXAAAAFgqWNZfz589XSUmJpk2b9leiKUmlpaWaMWOGLrjgAq/6IbkEAACwULBULg8fPqyffvpJhw8fPu7WuN1u16BBg7zuh+QSAADAQp70Wv4OwSv9+vVTv379tGzZMnXs2PG0+yG5BAAAsJD9z+DYLX5UdHS07rzzThUWFsowDJWVlWnnzp364osvvGpPcgkAAGChYKlcHjV8+HDdfPPNeu+993Tttddq0aJFatKkidftSS4BAAAsFGyVS5fLpcsvv1w7duxQQkKCxo8fr169enndnuQSAADAQmVBslv8qMjISB08eFCZmZn65Zdf1LFjR3k8Hq/bk1wCAABYKFie0HPUDTfcoEGDBmn69Onq16+f5s2bp2bNmnndnuQSAADAQp70mj4Zx2lSPz169FD37t1ls9n0zjvvaPPmzWrUqJHX7UkuAQAALGT/c4e/Q/Da4sWLVa9ePdWqVUufffaZ3n77bTVu3Fj169dXRESEV32QXAIAAFgoWCqXL7/8subPn69x48Zp3bp1uv/++/Xwww9r7dq1Gj9+vB5++GGv+iG5BAAAgD744AO9+eabio6O1sSJE3XeeeepX79+MgxDF110kdf9kFwCAABYKFhui9tsNkVHR0uSli9frquvvvqvr1cEySUAAICFguW2uN1uV15engoLC7V27Vp16tRJkrRjxw45HN6njCSXAAAAFgqWyuVtt92mSy+9VKWlperbt6+qVKmi+fPn6+mnn9bdd9/tdT8klwAAABYKlspl9+7d1apVK+Xm5v519FBsbKyeeOIJtW/f3ut+SC4BAAAsZN+/098heC0jI0MZGRl//f+5555b4T5ILgEAACzkSavhk3HMOkS9skguAQAALBRMlUszkFwCAABYiMolAL8pKyvT9u3btGFDjnbv3qXoKLs8ZXbVqVNX2dn1lJyc4u8QAQAVROUSgM8dPJirT+Z/pAVz58hRUKBaDqcyPGUqdNhV4PHoe5tNW0qKldmsuXpeOUAdOpwlu93u77CB07J58yZ9s2Sxclb/rG2bN+jIkWJFR0cqo1otZTU9Qx06dVaTJk0rfHAzEKioXALwGcMw9Pnnn2rWpHE6o8zQPcmpqpla5a/XnU6H3O5SSVJpWZlWbt2mt0Y8rHfr19d9D49UrVq1/RU6UGE5Oes167kp2puzTufXStUVVVKV2bm5YlwOGZJy9uVq3eqvNWPh+4pIzdC1d9yrNm3a+jtsoNKoXAIBpLCwUAcP5qqgIFLFxTalpKSETDXD7Xbr6SdHa/OXX+i+KtVUMzb2lO93RESobVq6zkxN05LtO/TQjdfojhGPq3PnLr4JGDhNhmFozn9m6bO5/9Ftzeuo6yXnyB4Rcdx7XE67WrpcalkjQ/1bGlqxbbeeGT1M33buptvuHqTIyEg/RQ9UHpVLwM8Mw9Dq1b/q/bfe1HdffalIRcjltOtwcYmSM6qqz4Br1a3b+YqLi/d3qKfN4/Fo4hOjdHjpNxpWJ0vOv/2iPRWbzaYuGVVV7/BhTR31iCIeH6uzz+5sXbBAJRiGoemTntL+H77SC93bKSUmutw2NptN7WpX04xqaZqybJmeeHinHhkzgQQTQct+gMol4Dd79uzWqKEPaO+GDaprc6pXYoZcdrucTodKStzam3dYH06erJenPa1b7xus3r0v83fIp+W9d+bqz6+/0n11MiuUWB6rZmys7q1SVU8/PkLZr/5X1apVNzlKoPLemP2q9v/wlcb+q60iK/BsYkmKdjo19JzWmvDNSk2f+KTuf3iUNUECFvOkUrkE/GLHju0adMctqpV/RBelVPvH7W+bzaaMmDhlxMQpv6RYs8aPU+7+/br+xlv8FPHp2bZtq9598XkNr1bjtBPLo2rFxql7fr6mPfWExk55NmSWDCA05OSs16dvvq4XurercGJ5lM1m030dW+iuBd9q6dKv1anTOSZHCViPyiXgBwUF+Rp63z3KLChWw+S0ct8f74pUt+QMvffy/6lajRq64IIePojSHHNfe0XnOyOVFhVlSn/dMqpq2erV+vXXn9WiRStT+gTMMOu5KbqlWR2vboWfisth1+C2jfT49Ilq376jHKeZqAL+QuUS8INFnyyQY/c+NUyr5nWbKIdTZ8Ul6/+mT9V5550fFL9wDh06qO+/+Exja5q3yzvCZtO5UdH6+K03SS4RMDZv3qQ9Oet0Xm9zKo1NqqapxqoNWrFiuTp27GRKn4CvULkEfMwwDL373/+oWUxChdumRcfKfmBX0PzC+fHHH9TE4VSsw9y/L9unpevtb7+W2+2W0xkof7sinH2zZLHOr5kqh71ySz+O1b12FX396fyg+LcOHIvK5Qns379fffr00cyZM5WdnW11TAgzK1f+qJI/9ys9uepptc+McOm9N/4bFL9wctb+prqVXGd5ItEOh9LsTm3dulnZ2fVN7x+oqA1rflXfKuY+UapxRppmff+bqX0CvmDP3eXvEHyq3OTS7XZrxIgRijJpfRjwd5s3b1KKR6e9GaVGXII+/32dyVFZY8u6dTov5tTnWZ6uGna7tm7dSnKJgLB1U44yz2lqap81EuOUl3tAhYWFiomJMbVvwEqeFN+c5hE0lctx48bpyiuv1IsvvuiLeBCGDh8+LLthnHZ7Z4RdhYWFJkZkneIjRYq06LGNkZKKi4st6RuoqCNFRxRj8hINm82maKdTxcVHSC4RVKhcHuPdd99VSkqKzjnnHK+Ty+TkGDkcvnnmcXp68B6iXRmhNu+MjBTZHBFyOk/9t87JXi8tdSsuLjYoPpe4+FgZ+fnlzvVY3r7XcEQoLS0hKD4Hb4TKPCoqVOYdExMlw/a/J+94q7z3GoYhj81Q9eqpiouLq2yIASNUrnlFhdO8qVwe45133pHNZtOyZcu0du1aPfTQQ3r++eeVnp5+0ja5ub6pIKWnx2vfvnyfjBVIQnHecXEpypX+eob2iRz7jO2/25l/SFXr1gyKzyW9Zl1tXfeH6sd690P1VPP+u20lbsXFpQbF51CeUPw+90YozTujWi39sfeA2tT0bi21y2lXidtzyvfsLTgsuytahYVlKioKjc8plK55Rfhi3uGUvAaaUyaXs2fP/uu/r732Wo0aNeqUiSVwOtq166DJsdHKPVKk5KiKn4e30X1E1191tQWRma9e02b64ZMFpvfrLivTrpISZWZmmd43cDqymp6h339d4nVy6Y3f9x5QVoNGPCwAQcd+gNvigE85HA717n+llr78itpXMLnMKylWXqRTZ599rkXRmatly9aa5S5Riccjl4lrL1ce2K9GLVvx7GUEjA6dOuv5Be/pqlaGacngp1v2qOP1/UzpC/AlT4r3ZzhXRlDcFj/W66+/bmUcCHMX97xUH7wxR9vzD6lmfKJXbUrLyvTtoX264o47gyapysjIUJN2HfTd6lXqnGHODxvDMPTl4QL16x8c1VuEh8aNm8iRmqHvt+5S+zqVX2+2/WCefssv0b+D5A9J4Fj2g7v9HcJxrD5iksolAkJqaqpGT5qqYQPvlCfvoOokJJ3y/SWeUi05sEetu/fQVQOu81GU5uh3w80ac+etau12K86E3bTf7/9TR6pXV9u27U2IDjCHzWbTtXf+W9Mfe0jNq6UrxnX63+tlZYYmLf9NfW+8PWj+kASOFUgbenxxxCTJJQJGkyZNNf65F/Xo/fdp0/5dqueKUY24hONuqR12l+j3Q7naavOox5X9dftd9wbd+qtGjRqr8xX99Z933tbttetWKv4DxcWam39IoyY+HRSPv0R4ad36TDXv0l1Pf/u1hnVuo4iI0/tef23lWhk1stWz16UmRwj4hj03cCqXvjhikt9GCCgNGzbSq3Pf01dffal3Zr+ulVu2KN7ukNMeocLSUh2OsOmCfpfp/t6XqW7dTH+He9quu+k2PbLqV83ZsEFX1ah1WgnmwZJiPb1jq/rdc5/q129gQZRA5d1y170a8+gOjf/mJw06q4UiK/BHUFmZoddWrtWXhREaM+aJoPtDEjgqUNZcns4Rk6fDZhiVOL36BHx1pALHN4Q+wzC0Zctm7d//p+LiXCopsSk7u17IHJ5cUJCvxx8aItfvv+vaajWU6HL94z0nO4pozcFcvXpgv3recaf69R/gi3B9Kpy+z48VqvMuLi7Ws0+P15blSzS4XWM1rfrPU0f+fhTRttw8Tf7+Nxk1svXAiCeUmHjqpTLBKlSveXnC7Sgi94xHfDKO8/YnTvn6gAEDZLPZZLPZtHbtWtWtW7fcIyZPB8llkGHeocXtduuN/7yqha/PUrfIaJ2TXuW4dZh/Ty63FBTo0wN/amNCvAY+MkqtWrXxR9iWC9XrXZ5Qn/e3336jV6ZPVIZRoh51qqhp1TTVSIyXzWaT0xGh7bn5+n3vfi3askdrC9zqd9MdurjnJSFdsQz1a34y4ZZcHpn7jE/GibriHq/fe/SISTb0ACHG6XTq2htvUadzu+qDuXP08KefKMvpUq0yQ1UjIxXpdCi/uETbSt3aVObRkfgE9bjlNg3qeYliY615RjlglbPOOlvt23fUihXL9fWnC/T6D6t1aP9+RTkdKjXK5IyOU3aDRupwwxUadPa5bN5ByLAf3OPvEHyKymWQYd6hLT8/T2vWrNGG9b9r16ZNcjolmz1SdRs1UXZ2PTVs2Eh2i55NmdcPrQAAIABJREFUHkjC5Xr/XTjOu6ioSCUlxapWLUWFhWX+DsfnwvGaS2FYuXzrOZ+ME9XvLp+MUx4ql0AAiY9PUPv2HdS+fQdJ4fuLB+EjOjpa0dHRio2NVWEh3+sITeFWuSS5BAAAsJAnxbzHoJ5K0D2hBwAAABVH5RIAAACm8SRRuQQAAIBJ7IeoXAIAAMAkVC4BAABgGiqXAAAAMI0nmcolAAAATGI/tNffIfgUySUAAICFPIkZPhmHyiUAAEAYsOdRuQQAAIBJPInhteYywt8BAAAAIHRQuQQAALAQt8UBAABgGk9iFZ+MEyi3xUkuAQAALGTP2+fvEHyK5BIAAMBCHEUEAAAA01C5BAAAgGlYcwkAAADTULkEAACAaahcAgAAwDT2vD/9HYJPkVwCAABYyJOY7pNxqFwCAACEAXs+lUsAAACYxJNA5RIAAAAmoXIJAAAA01C5BAAAgGns+fv9HYJPkVwCAABYyBNP5RIAAAAmsRew5hIAAAAm8SSk+WQcKpcAAABhwF7AmksAAACYxBNP5RIAAAAmoXIJAAAA03jiwmu3eIS/AwAAAEDooHIJAABgpTAr5ZFcAgDgQ6Wlpdq2basKCgqUkZGkmJhkxcXF+zsswDQklwAAv9i5c8f/1969x8d05n8A/5w5Z665XyYSkiCIqip1KXELlbptUYRta9n92V+3Vb9VtRTZlLa0oaotui7V2u6ypdqiLi3VCi1Ko+tWl6JCJSGESSKSTGYm8/ujL7bbkgvnlpnP+/WaP8iZ83yehOSb73mec5CTk4OyslJER4fDaAxE48YJEARB62iyc7vd+PrrXVj3/kocO3wINsEAs8EAQRJxuawMUTEx6D90GPr27Y+QkFCt45LMxGtXtI6gKhaXRESkGrfbjb17v8am91fix+8OId5khkUQUCkZ8GNpGYLiG6L/IyOQnNwTFotF67iy+OGHk5j1wjSUnDmLJpIFg0LrwWgQAQBGowSnzYWColJ8/reFWPnOUjw5YRL69Onnk0W2v/IE8lZEREREsjt79gxmPjsBwVeuoIctAE81TIBk+GkxmtEooaLChaNFhcic+wqWL3gdk16ajdat79M49Z358svteHV6OloKJnQKj7lpwWgQBETZAhBlC8CV8jK8M/NFHN7/LSY8mwZRFDVITXITS9i5JCIiktXJkyfwwtNPIVUyo1N8o5seIwgCWoaGoWVoGL4vKsQrE8bh/2bOQlJSF3XDymT//m/x6nNp6GYLRYTFVqP3hFuseNBUH5kbN2GR1Yb/G/8XhVOSGjyBEaqMw84lERH5hUuXLmHmX57G78xWtAmv2Q/Z5iGhGCdKmDctDRF/ewuJic0VTimvkpKrmDU9HR1MgTUuLK+TDAYkR8Tg048+QFK37mjXroNCKUktXHNJREQko49WrsD9TifaxNar1fsaBgZiSGkJli96EzNeX6BQOmWsXvkeghzFaBAZc1vvN4ki2pmDMG/Wy/jH6jVcf1nHsXNJREQkk9LSUuzYuB7T60Xf1vs7RkZh7cH9yM3NQYMGsTKnU4bT6cTGj1aje1DYHZ2nQWAwDudfwP7936Jt2/YypSMtiKUOrSOoqtri0uPxID09HdnZ2RBFERkZGYiPj1cjGxER1XHbt29DcwChJvNtvd9oMKCz0YxP1q/F42P+LG84hRw7dgRmZwWCQ++suBQEAbFeAbt2bGdxWcd5AsNVGafOdC4zMzMBAKtWrcLevXuRkZGBRYsWKR6MiIjqvm+/zER7a+3WHP5Sx7BwLN2eWWeKy1OnTiHE7ZXlXHZrAI4ePCDLuUg74jV2Lv9LSkoKevToAQDIy8tDZKQ692oiIqK6r/iKA8Em0x2dI9hoRMnluvPD+UJuDmwyrZEMMplx8eIFWc5F2vEEsHP564MkCZMnT8bWrVsxf/78Ko8NC7NBktS5L5fd7p+Py+K8/Qvn7V98bd5mswRJEmE0Vv/j5lbHGL2VMBrFOvO5CQwwQRJrNmfg1vMGACMqYfRIdWbuteGLc7oVrrm8hdmzZ2PixIkYPnw4Nm3aBJvt5pc5HI5S2cJVxW4PwqVLV1UZS084b//CefsXX5y3yRaIK6W5cNkCqzzOaJTgcrlv+rHLpWUwWwLqzOcmIMSOIrf7lvP5uarmDQCO0lKERkfUmbnXlBr/1vVUvLJz+Qvr1q1Dfn4+nnjiCVitVgiCwCcGEBFRjbRPfgBZ+/fjTrajfFN4Be0GDpItk9KaNWuGtZJBlnNdLC1Bi9YPyHIu0o5YWqh1BFVVW1z27t0bU6dOxYgRI+B2u5GWlgaz+fZ2/RERkX/p0eMBLH9jLgornLe1Y9xdWYldTidmDxysQDpltGjREmUmCcUVTgTf5i55APB6vcgRvPhdck8Z05EWuFv8F2w2G+bNm6dGFiIi8jE2mw3JDw3EF5s2YGhs7W9j903BJTRq3RqxsXEKpFOG2WzGb4YMw94VK5B0mzdRB4C8a1dhiYrkbYh8ANdcEhERyWjIIyMwcesWNLlyucaPfwSAH6+V4MOya5heR25B9HOPjPgdPtv4MfKuXUX9gNqv/XN5PNhXXoznMmby6Tw+wGO7s3ue1lSd6VwSERHdiaioKKTPnYcXn34KzoJKdIy0V/ueE8VFWHKlAGNffBnNm9+lQkp5BQYGYfLzM/DCM0+juygh3GKt8XvdlZXYceUCeg0divbt71cwJalFLOOaSyIiIlklJjbHzEVvY8akZ7DzxzNItgWgTXgEJMN/Nr54vV4cKyrE9qvF+MEoYdLceWjTpq2Gqe9Mu3Yd8JcZL2Hu9Odwj7MMTYLDqu1COsrLsOfqFbTv1xdjx01QKSkpzWPjmksiIiLZNWrUGEtWfog9e3Zj46p/4f2jR9DQbIHF64XHKOLH0nLYYmPxm8efwNTknrBaa97t06vk5J6ov3QZZr0wDWd+PIcmkgVxQSG/Kqovl5fiZGkJLppFPJGWhn79HuLlcB/CziUREZFCJElC167d0bVrd5w79yPy8vJQWnoNMTERMBoDkJDQ1OeKqmbNErHk3RXYvXsn1q56D2uPfIdAgwizYIAgCrhcXo6IevXQf9Sf0LffbxAWpk6Xi9TDNZdEREQqiIuLR1zcTzvIffEG8j8nSRK6d++B7t17wOVy4dy5s7h27RqiokJhs4UhKChY64ikIL10Lj0eD9LT05GdnQ1RFJGRkYH4+NrfxaE6LC6JiIhUZDQakZDQFIDvF9X0E710LjMzMwEAq1atwt69e5GRkYFFixbJnoPFJREREZEfSElJQY8ePQAAeXl5iIyMVGQcFpdEREREChLLi7SOcIMkSZg8eTK2bt2K+fPnKzOGImclIiIiIgCAxxqqyjg13dAze/ZsTJw4EcOHD8emTZtgs9lkzcHikoiIiEhBeulcrlu3Dvn5+XjiiSdgtVohCAJEUZR9HBaXRERERArSS+eyd+/emDp1KkaMGAG32420tDSYzWbZc7C4JCIiIlKQWF6sdQQAgM1mw7x58xQfh8UlERERkYI81hBVxuFN1ImIiIj8gFimj86lWlhcEhERESmInUsiIiIiko3oZOeSiIiIiGTCziURERERyUYs96/nx7O4JCIiIlIQO5dEREREJBu93OdSLSwuiYiIiBTksQSrMg47l0RERER+QHRyzSURERERycRj4ZpLIiIiIpIJO5dEREREJJtKldZc6gWLSyIiIiIFsXNJRERERLJRa7e4Xoo6veQgIiIi8kmis0TrCKpicUlERESkII/ZvzqXBq0DEBEREZHv0EuRS0REROSTxApeFiciIiIimXgsgaqMo5eiTi85iIiIiHySWHFN6wiqYnFJREREpCCPOUiVcfRS1OklBxEREZFPYueSiIiIiGTjMXHNJRERERHJRHSxc0lEREREMmHnkoiIiIhkw84lEREREcmGnUsiIiIikg07l0REREQkG3YuiYiIiEg2oqtU6wiqYnFJREREpCCPKUCVcfRS1OklBxEREZFPYueSiIiIiGTDNZdEREREJBt2Lol0oqTkKrZv34azp0/BaBQgmQLQrXtPNG3aDIIgaB2PiIhqqKTkKrZ9sRV7vv4KV4uLYQuwIjomDn36PoQWLe72+e/pHpNNlXH0UtTpJQfRDeXl5fjHsiXYmbkVHe9KQOumDWG1GpGXfwFvzEyDLTQSo/73KbRqda/WUYmIqAperxfvr1qBTzasRcc2rfA/g/sjMiIc8Hrw7aGjWDz/FRitARg/YQri4uK1jqsY0VWmdQRVsbgkXSktLcXz6ZPQOEjC36c+hbDgIACA0STCVeHBo316YPeho3j95efwp3HPolNSF40TExHRzXi9XixeNB952SfwztyXEBEWduNjJqOIhnHxGNy/D7Zk7sC0v07C9BdnoVGjxhomVo7HyN3iRJpZ8MYraB5uwdO/HXTTyyQGgwFd29yD6IgwTJ7/Cuo3mI/4+IYaJCUioqps/Wwzzpw4gteeT4PVYrnpMYIgoO8DPWAymTDr5efx5sJ3IEm+V5qIbv/qXBq0DkB0XW5uDr4/9G+MTX2o2vU3TeMaYEjntti0YY1K6YiIqKa8Xi82rv8IT/3+sVsWlj/3QNfOqG8Pw549u1VIpz6P0abKSy+qLC5dLhcmTZqExx57DKmpqfjiiy/UykV+aPOnG9GvY2sYa/hba78uHbD7y20oKSlROBkREdXGd98dgiRU4p67mtf4PQMffACbP1mvYCpSS5U/xdevX4/Q0FDMmTMHDocDgwcPRq9evdTKRn7m6MFv8ZdBPWt8fHhwEBKi7Th9+hTuvbeNgsmIiKg2jh49gs7t2tRqF3hSu/swc/5ieL1en9s97m+XxassLvv27Ys+ffrc+LMoitWeMCzMBkmq/jg52O1BqoyjN74670qPCyHBATCabv7v52Z/Hxpkg8Vi8NnPCeC7X+/qcN7+x1/n7ovzlqRKBAbYYDLeuh745cdMRhFmo4SQEDPMZrPSEVWl1iVrvaxWrTJHQMBPu5tKSkowbtw4jB8/vtoTOhzq3CjUbg/CpUtXVRlLT3x53pLRjMuOYkSHh//qY9d3i//S5aISOJ3w2c+JL3+9q8J5+x9/nbuvzruyUkJh0VVUuH79fRv4qZD85cfKy51wuT0oKnJCECruOIOeinbRXa51BFVVu6Hn/PnzGDVqFAYNGoQBAwaokYn81H0dOmP7/u9qfPz5gis4V1CIxMSar+khIiLltWnTFju++RaVlZU1fs+Or/fg3tZtfe6SOMANPf+loKAAo0ePxqRJk5CamqpWJvJTD/bpjy/2H0Vpec1+w9uw8xskp/TzucsnRER1XbNmiQgMCUPWgUM1Ot7r9WL91kz07e+bTSzRU6bKSy+qLC4XL16M4uJiLFy4ECNHjsTIkSNRXsMf/ES1ZbfbkdS9F2Yt/whu980vpVy37+gJfLb/GB4aMFildEREVBtDUh/Fm39fAUdhUbXHfrjhEzgrBbRt216FZOrzSFZVXnoheL1er5wnVGvtiK+uU6mOr8/b7XbjlYwX4bmSiycG9UaT2PoA/rPmsrS8HJ/uzsLK7VmYlD4Td9/dUuPEyvL1r/etcN7+x1/n7uvzXr36PezctgXpT49B08aNbvz99TWX5eVOrPp4Az7blYUZL70Ku90u29h6WnPpOZGlyjhiYgdVxqmOXjYWEQEAJEnC5LTpWLf2Q/z13TWoF2hFmyaxsJpNyC0oxM7vTuCe+zrgxdnzfPo5tEREvmD48McQER6J9FffRL3wEPRJ7orIiHB4Kz349+Gj+Oyrr9Gi5b3ImP06wsJ+vZnTV7hV6iqqc6+e6rFzWcf407w9Hg/27cvC2bPZMJsNEEUrkpK6ICIiQutoqvGnr/fPcd7+x1/n7i/z9ng8yMrai693f4WS4iIEBtkQVS8OKQ/2Rb169RQZU1edy5P7VBlHbKaPZQXsXJJuiaKIjh07oWPHTn7zDZiIyBeJoohOnTqjU6fOAPynqL7O3zqXLC6JiIiIFCR5/GszNItLIiIiIgW5RXYuiYiIiEgmUqVT6wiqYnFJREREpCC3aFFlHHYuiYiIiPwAO5dEREREJBu3xM4lEREREclE8lRoHUFVLC6JiIiIFOQWzaqMw84lERERkR+QKvXRuXS5XEhLS0Nubi4qKiowZswY9OrVS/ZxWFwSERERKUgvu8XXr1+P0NBQzJkzBw6HA4MHD2ZxSURERFTX6KVz2bdvX/Tp0+fGn0VRmQvpLC6JiIiIFOQWTaqMU12pGBAQAAAoKSnBuHHjMH78eEVyGBQ5KxERERHpzvnz5zFq1CgMGjQIAwYMUGQMdi6JiIiIFCRVurSOAAAoKCjA6NGjMW3aNCQlJSk2DotLIiIiIgW5Dfq4LL548WIUFxdj4cKFWLhwIQBg6dKlsFjk3XDE4pKIiIhIQXrpXKanpyM9PV3xcVhcEhERESlILxt61MLikoiIiEhBeulcqoXFJREREZGC9LLmUi0sLomIiIgUJHn1cRN1tbC4JCIiIlKQW2DnkoiIiIhkInm55pKIiIiIZMI1l0REREQkG3YuiYiIiEg2boNRlXHYuSQiIiLyA+xcEhEREZFsuFuciIiIiGTDziURERERyYa7xYmIiIhINuxcEhEREZFs3AJ3ixMRERGRTCS4tY6gKhaXRERERApyg51LIiIiIpIJO5dEREREJBt/W3Np0DoAEREREfkOdi6JiIiIFMTL4kREREQkG27oISIiIiLZsHOpY16vFxcvXkRhoQMXL9rgdouIiakPQRC0jkZERER0U25BnXKLncsa8ng82LcvC19sXIPjhw/CVOlGVIAVkmTAxatluOrxolmLlnjgocFISuoCo1Gd1jMRERFRTUjwaB1BVbouLg8c+DeWzM1AhKsUDzWuh4kPtkW4zQoAMBlFVLg8KC534mDeRWx6ay7efXMuRo+bhC5duvlMN9PlcuHYsSM4efIkzv94BlaLBHNAKJomNsfdd7dEcHCI1hGJiIioCuxc6oDH48HbixZg/9YNGN8uEe3jYm55bLDFjG4JceiWEIfj+Zcx57UZ2LOjC/48cSrMZrOKqeVVWlqKD1e/h08+eB8hzgrEeIFwUUSFJCLfWYEsg4AcjwedeqXg0d+PRmxsnNaRiYiI6CbYudSYx+PBaxkvwn38W7zVvzNspppf5r6rXgQW9euMN74+gJl/nYT0l+bUyQLz8OGDeHV6OuoXFWFkWATsYdYbHzMZJVS4floYXOp2I2v7djyz7XM8NnYcHh6c6jMdWyIiIl/hVqncYufyFlb84x04j2ZhxgMdYBRr/2kySSImdb0Pr3y1HwvfmINnJqcrkFI5u3fvxBvpUzAwIBiJMbFVHmuTJCTXi0ErZzk+mP86LuTk4Mk/j2eBSVSHeL1eHD9+DEeOHIYkVsLtMaBVq9ZITGzO/8tEPoKdSw0dP34MX657H0v6drytwvI6QRAwvvO9ePKT7dizpxc6dUqSMaVyfvjhJF5/bipGhEagvi2gxu8LN1vw+5g4/GPNB1jboAGGDB2uYEoikoPX60Vm5ufYsPKfcF/OR+eoEARYjCgrd2HBe2/DbK+PAY+OQnLyAywyieo4DzuX2ln25mt4slUjhFotd3wusyRhQocWyJj/Cjp0+BDiHRSranC73Zj74nQ8aLLWqrC8ziKKGGaPxjsLF6DD/Z0QFxevQEoikoPX68Vbf5uHE5mfYEybprgvqSkEQbixUfF/vV78Ozcfi+fPwg/fH8PoP41lgUlUh0mCf3UudfNs8ZMnT+BqTjaSE+QrilrF2GGvdGLfvizZzqmUr77aAfx4Dq3DI277HOFmCzoaJKz8xzIZkxGR3N5/bznOfvkpXu/dEW1jo39VOAqCgHax0Xi9d0ec+HwDPvpgpUZJiUgOboiqvPRCN8Xlji+2oH98FAwGeX87798wCts3b5D1nErYsOpf6BgQcMfdifYRduzd9jmKigplSkZEciouLsKmVe9ieve21W5YDDSb8Hz3+/DximUoKSlRKSERyU1CpSovvahRcXnw4EGMHDlS0SAnDu3HPdG337W7lVb1o3Dq2GHZzyuna9eu4fTxY0gMCbvjc9kkCfGiEUeOfCdDMiKS2xeff4akqBBEBFirPxiAPdCG+yMCsX37FwonIyKlsHP5C0uXLkV6ejqcTqdiIbxeL86dzUbTyFDZzx0TFADn1WJdd/Kys0+jnskMUaY1VVGVlTj1/XFZzkVE8tq1ZSP6Nan6ThC/1LdJA3z1qf6vwBDRzUlCpSovvai2uIyPj8eCBQsUDeF0OgGPB1YFHt0oCAKCLWZdX1IqKipEEORbDhAsSbhyMV+28xGRfAqvXEZ0UO027UUHBaDwSoFCiYhIaf7Wuax2t3ifPn2Qk5NT4xOGhdkgSbWboNNpgmD4aadkbdT0eINBgN0eDLs9qFbnV0tYWABEowiTsWab96s7ThRFWIJtup3v7fK1+dQU5+1bzBYTJMlwy+9fN/t7URRgsZp99nNyna/P71Y4b9+np/WQapD9VkQOR2mt3+P1eiGZLMgvuoYwW81uQ3T9lh3VcXsqcamkDB6PEZcuXa11NjWYTEG46Ky48eSdKo/92RN6biXfWY67I2N0O9/bYbcH+dR8aorz9j0R9RrgSN4lhCX8+nvdrb6vHTlfgIioBj77OQF8+2teFc5b2TH0Qq2uokmVUaqni93igiCgcbNEnCxwyH7us44iREXHwGqt2eJ5LTRs2AiOSg/KPfLcB+uCwYAmTZrKci4iklfKwKHYcPp8rd6z8fQFPDhoqEKJiEhpkuBR5aUXuiguAaBF2/uRlSf/mqKsnHzc1aaD7OeVk9FoRIeu3XFQhjVVl8vL4ZBE3HPPvTIkIyK5JSV1QbbTi6MXavb//fD5S8ipFNGhQ0eFkxGRUtxeUZWXXtSouIyNjcXq1asVDdIrpS+25V5Gmcsl2zkrK73YeOYiHvzNQNnOqZSBwx/BNxXlcFXe2bqMnY4C9Bk6HCaTXprjRPRzRqMRTz47DS9+fQTZl6u+i8WpAgdm7DmKp559DpKkqweqEVEtcLe4Rux2O1oldcMHh0/Jds7N32cjrHFTNG3aTLZzKuWee+7FXd17YNsd7PL+obgI54KCMOyRETImIyK53X9/R/xh0jQ8u/Mw/r7vCPKvXvuvj58vLsE7+45gys7v8PiUF9Cunb6vvhBR1bhbXEP/8+Q4THx8BDrHO9A08s5uKH6x5BqWHc/BCwvelimdsgRBwNhnJmLcoZGILLiIdpFRtXr/hdJSrLtaiCmvzUdgYKBCKYlILl27JSOhSVN8unEdxnyyHjEWCcEWI4rKKpBf4UFy/4cx67mHER0do3VUIrpDeuoqqkHwer1eOU94p7u/vtyRifdem4nXUtojKvDW94Krarf4VWcFJm79Bt1HPI5BQ4bdUR615eScw1/HPYVmV6/iAXs0JMN/N5d/uVvc6/XisOMyPisvw9jpLyI5uafakVXBHZX+xd/m7XQ6ceZMNiwWAU7nT5v8zGaz1rFU5W9f8+s4b2XH0IsKxyVVxjGF2VUZpzq6uSx+Xffknnjoj3/GhM/34fuLl2v9/nOOYvxl6ze49zepGDg4VYGEyoqNjcO8Zf+EkNQZi/LO4ZtL+XDeZBd5pdeL7wsdWH4+B1kRYZi5+G2fLSyJfJ3ZbEbz5nehffv2SExs7neFJRH5Fl1dFr/uoYEPIyw8HOmvZ6BfdDCGtWqGIHPVG1TKXC5sOHoa72dfwiNP/Bl9+z0EQabHKaotNDQMaS+8hEOHDmDjB+9j7s4vES5JCBdEGCUDHG4P8iuciGvSFINHPINu3XpwAw8REZFO+dtlcV0WlwDQpWt3tLynFf759mKM2rgVXeqFol10GJpFhsEeaINX8OJC8TWcKnDgQL4D2/Ou4O77O+OVqXNRr1601vHvmCAIaN36PrRufR8qKipw9uwZ5OdfQHCwBYAJCQlNEBion5Y/ERER3ZxatwnSS5tJd2sub6aoqBA7tm/D8QPf4vSJYygqdMAgGmC1BqBJYgs0u/c+JPfoBbtdH2sNlMT1Of6F8/Yv/jpvwH/nznkrO4ZeVBZeVGUcQ2jtNgMrRbedy58LCQnFwEFDMHDQkBt/56//IYmIiKhu8bfHP9aJ4pKIiIioruKaSyIiIiKSjdurzs152LkkIiIi8gOSQdbtLbrH4pKIiIhIQe5Kdi6JiIiISCbsXBIRERGRbLjmkoiIiIhkw84lEREREcmGnUsiIiIikg07l0REREQkG3eloMo4eulcqtOnJSIiIvJTkkGdV00dPHgQI0eOVG6+ip2ZiIiIiOD26qdzuXTpUqxfvx5Wq1WxHOxcEhEREfmJ+Ph4LFiwQNExBK/X61+rTImIiIj8WE5ODiZMmIDVq1crcn52LomIiIhINiwuiYiIiEg2LC6JiIiISDZcc0lEREREsmHnkoiIiIhkw+KSiIiIiGTD4pKIiIiIZFMnn9Bz8OBBvPrqq1i+fLnWUVTjcrmQlpaG3NxcVFRUYMyYMejVq5fWsRTn8XiQnp6O7OxsiKKIjIwMxMfHax1LNZcvX8aQIUOwbNkyNGnSROs4qnj44YcRFBQEAIiNjUVGRobGidSxZMkSbNu2DS6XC48++iiGDRumdSTFrVmzBmvXrgUAOJ1OHDt2DLt27UJwcLDGyZTlcrkwZcoU5ObmwmAwYMaMGX7x/7uiogJTp07FuXPnEBgYiGnTpqFRo0ZaxyIF1LniUo3HFunR+vXrERoaijlz5sDhcGDw4MF+UVxmZmYCAFatWoW9e/ciIyMDixYt0jiVOlwuF6ZNmwaLxaJ1FNU4nU4A8KtfHAFg79692L9/P1auXImysjIsW7ZM60iqGDJkCIYMGQIAeOGFFzB06FCfLywBYMeOHXC73Vi1ahV27dqFN954Q/EnpujB6tWrYbPZsHr1apw+fRozZszAO+9A0JUFAAADg0lEQVS8o3UsUkCduyyuxmOL9Khv3754+umnb/xZFEUN06gnJSUFM2bMAADk5eUhMjJS40TqmT17Nh555BFERUVpHUU1x48fR1lZGUaPHo1Ro0bhwIEDWkdSxc6dO5GYmIixY8fiySefRI8ePbSOpKrDhw/j1KlT+O1vf6t1FFU0btwYHo8HlZWVKCkpgSTVuT7PbTl16hS6d+8OAEhISMAPP/ygcSJSSp37F92nTx/k5ORoHUN1AQEBAICSkhKMGzcO48eP1ziReiRJwuTJk7F161bMnz9f6ziqWLNmDcLDw9GtWze89dZbWsdRjcViwR//+EcMGzYMZ86cweOPP47Nmzf7/A9fh8OBvLw8LF68GDk5ORgzZgw2b94MQRC0jqaKJUuWYOzYsVrHUI3NZkNubi769esHh8OBxYsXax1JFS1atEBmZiZSUlJw8OBB5Ofnw+Px+E2zxJ/Uuc6lPzt//jxGjRqFQYMGYcCAAVrHUdXs2bOxZcsWPPfccygtLdU6juI++ugj7N69GyNHjsSxY8cwefJkXLp0SetYimvcuDEGDhwIQRDQuHFjhIaG+sW8Q0ND0bVrV5hMJiQkJMBsNuPKlStax1JFcXExTp8+jU6dOmkdRTXvvvsuunbtii1btuDjjz/GlClTbiwJ8WVDhw5FYGAgRo0ahczMTLRs2ZKFpY9icVlHFBQUYPTo0Zg0aRJSU1O1jqOadevWYcmSJQAAq9UKQRD84pvRv/71L6xYsQLLly9HixYtMHv2bNjtdq1jKe7DDz/ErFmzAAD5+fkoKSnxi3m3a9cOX331FbxeL/Lz81FWVobQ0FCtY6kiKysLnTt31jqGqoKDg29sWgsJCYHb7YbH49E4lfIOHz6Mdu3aYfny5UhJSUFcXJzWkUghvn2tyYcsXrwYxcXFWLhwIRYuXAjgp81Nvr7Zo3fv3pg6dSpGjBgBt9uNtLQ0mM1mrWORQlJTUzF16lQ8+uijEAQBL7/8ss9fEgeAnj17IisrC6mpqfB6vZg2bZpf/BIFANnZ2YiNjdU6hqr+8Ic/IC0tDY899hhcLheeeeYZ2Gw2rWMprmHDhpg3bx6WLVuGoKAgvPTSS1pHIoXw8Y9EREREJBteFiciIiIi2bC4JCIiIiLZsLgkIiIiItmwuCQiIiIi2bC4JCIiIiLZsLgkIiIiItmwuCQiIiIi2fw/RMFAGKWLxjAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# s - size of dots\n",
    "# c - color\n",
    "# edgecolor - edges to the circles\n",
    "# cmap - color map => https://matplotlib.org/3.1.0/tutorials/colors/colormaps.html\n",
    "\n",
    "# plt.scatter(x,  y, s=100, c='green', marker='x')\n",
    "\n",
    "# plt.scatter(x,  y, s=100, c='red', edgecolor='black', \n",
    "#             linewidth=1, alpha=0.75)\n",
    "\n",
    "\n",
    "# color and size on a per mark basis\n",
    "colors = [7, 5, 9, 7, 5, 7, 2, 5, 3, 7, 1, 2, 8, 1, 9, 2, 5, 6, 7, 5]\n",
    "sizes = [209, 486, 381, 255, 191, 315, 185, 228, 174,\n",
    "         538, 239, 394, 399, 153, 273, 293, 436, 501, 397, 539]\n",
    "\n",
    "\n",
    "plt.scatter(x,  y, s=sizes, c=colors, cmap='Reds', edgecolor='black', \n",
    "            linewidth=1, alpha=0.75)\n",
    "cbar = plt.colorbar()\n",
    "cbar.set_label('Satisfaction level')\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# EXAMPLE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>view_count</th>\n",
       "      <th>likes</th>\n",
       "      <th>ratio</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8036001</td>\n",
       "      <td>324742</td>\n",
       "      <td>96.91</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9378067</td>\n",
       "      <td>562589</td>\n",
       "      <td>98.19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2182066</td>\n",
       "      <td>273650</td>\n",
       "      <td>99.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>6525864</td>\n",
       "      <td>94698</td>\n",
       "      <td>96.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9481284</td>\n",
       "      <td>582481</td>\n",
       "      <td>97.22</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   view_count   likes  ratio\n",
       "0     8036001  324742  96.91\n",
       "1     9378067  562589  98.19\n",
       "2     2182066  273650  99.38\n",
       "3     6525864   94698  96.25\n",
       "4     9481284  582481  97.22"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(r'examples/2019-05-31-data.csv')\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "view_count = data['view_count']\n",
    "likes = data['likes']\n",
    "ratio = data['ratio']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(view_count,  likes, edgecolor='black', c=ratio,\n",
    "            cmap='summer', linewidth=1, alpha=0.75)\n",
    "\n",
    "cbar = plt.colorbar()\n",
    "cbar.set_label('Like Dislike Ratio')\n",
    "\n",
    "\n",
    "plt.xscale('log')\n",
    "plt.yscale('log')\n",
    "plt.title('Trending YouTube Videos')\n",
    "plt.xlabel('View Count')\n",
    "plt.ylabel('Total Likes')\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}