nadaraya_watson_regression.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Nadaraya-Watson Regression\n",
    "\n",
    "This is the classic machine learnin algorithm commonly used for noise reduction.<br>\n",
    "It's based on idea of distance metrics (eg. euclidean distanece) between objects and k-neighbors. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate dataset\n",
    "\n",
    "Use normal distribution for noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate_dataset(min_x = -20, max_x = 20):\n",
    "    x = np.arange(min_x, max_x, 0.2)\n",
    "\n",
    "    y = np.sin(x) + np.random.normal(2, 0.4, len(x))\n",
    "    return x,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.collections.PathCollection at 0x2c04ed68708>"
     },
     "metadata": {},
     "execution_count": 3
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.221348pt\" version=\"1.1\" viewBox=\"0 0 372.103125 251.221348\" width=\"372.103125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 251.221348 \r\nL 372.103125 251.221348 \r\nL 372.103125 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 364.903125 227.343223 \r\nL 364.903125 9.903223 \r\nL 30.103125 9.903223 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"PathCollection_1\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mec1d73990e\" style=\"stroke:#1f77b4;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p77e622bcb4)\">\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"45.3898\" xlink:href=\"#mec1d73990e\" y=\"167.621518\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"46.918578\" xlink:href=\"#mec1d73990e\" y=\"157.374215\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"48.447355\" xlink:href=\"#mec1d73990e\" y=\"182.712212\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"49.976132\" xlink:href=\"#mec1d73990e\" y=\"181.043622\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"51.504909\" xlink:href=\"#mec1d73990e\" y=\"117.496099\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"53.033686\" xlink:href=\"#mec1d73990e\" y=\"104.626643\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"54.562463\" xlink:href=\"#mec1d73990e\" y=\"126.318841\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"56.09124\" xlink:href=\"#mec1d73990e\" y=\"84.52164\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"57.620017\" xlink:href=\"#mec1d73990e\" y=\"108.610582\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"59.148795\" xlink:href=\"#mec1d73990e\" y=\"105.444292\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"60.677572\" xlink:href=\"#mec1d73990e\" y=\"72.298827\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"62.206349\" xlink:href=\"#mec1d73990e\" y=\"82.93793\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"63.735126\" xlink:href=\"#mec1d73990e\" y=\"20.486275\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"65.263903\" xlink:href=\"#mec1d73990e\" y=\"66.75284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"66.79268\" xlink:href=\"#mec1d73990e\" y=\"24.695163\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"68.321457\" xlink:href=\"#mec1d73990e\" y=\"70.103643\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"69.850235\" xlink:href=\"#mec1d73990e\" y=\"61.28618\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"71.379012\" xlink:href=\"#mec1d73990e\" y=\"59.138083\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"72.907789\" xlink:href=\"#mec1d73990e\" y=\"78.516671\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"74.436566\" xlink:href=\"#mec1d73990e\" y=\"107.14704\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"75.965343\" xlink:href=\"#mec1d73990e\" y=\"66.488639\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"77.49412\" xlink:href=\"#mec1d73990e\" y=\"99.143774\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"79.022897\" xlink:href=\"#mec1d73990e\" y=\"142.699957\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"80.551674\" xlink:href=\"#mec1d73990e\" y=\"82.419578\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"82.080452\" xlink:href=\"#mec1d73990e\" y=\"107.448986\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"83.609229\" xlink:href=\"#mec1d73990e\" y=\"165.705072\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"85.138006\" xlink:href=\"#mec1d73990e\" y=\"150.70623\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"86.666783\" xlink:href=\"#mec1d73990e\" y=\"135.014998\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"88.19556\" xlink:href=\"#mec1d73990e\" y=\"189.485541\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"89.724337\" xlink:href=\"#mec1d73990e\" y=\"151.809412\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"91.253114\" xlink:href=\"#mec1d73990e\" y=\"173.240263\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"92.781891\" xlink:href=\"#mec1d73990e\" y=\"180.807674\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"94.310669\" xlink:href=\"#mec1d73990e\" y=\"147.522319\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"95.839446\" xlink:href=\"#mec1d73990e\" y=\"169.032922\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"97.368223\" xlink:href=\"#mec1d73990e\" y=\"141.983054\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"98.897\" xlink:href=\"#mec1d73990e\" y=\"129.512892\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"100.425777\" xlink:href=\"#mec1d73990e\" y=\"149.472974\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"101.954554\" xlink:href=\"#mec1d73990e\" y=\"141.252513\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"103.483331\" xlink:href=\"#mec1d73990e\" y=\"144.518305\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"105.012109\" xlink:href=\"#mec1d73990e\" y=\"42.372501\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"106.540886\" xlink:href=\"#mec1d73990e\" y=\"73.345405\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"108.069663\" xlink:href=\"#mec1d73990e\" y=\"78.974496\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"109.59844\" xlink:href=\"#mec1d73990e\" y=\"90.637074\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"111.127217\" xlink:href=\"#mec1d73990e\" y=\"97.268182\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"112.655994\" xlink:href=\"#mec1d73990e\" y=\"93.19517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"114.184771\" xlink:href=\"#mec1d73990e\" y=\"58.989527\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"115.713548\" xlink:href=\"#mec1d73990e\" y=\"79.071064\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"117.242326\" xlink:href=\"#mec1d73990e\" y=\"43.65918\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"118.771103\" xlink:href=\"#mec1d73990e\" y=\"47.52619\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"120.29988\" xlink:href=\"#mec1d73990e\" y=\"72.493718\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"121.828657\" xlink:href=\"#mec1d73990e\" y=\"63.488366\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"123.357434\" xlink:href=\"#mec1d73990e\" y=\"109.417378\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"124.886211\" xlink:href=\"#mec1d73990e\" y=\"82.048084\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"126.414988\" xlink:href=\"#mec1d73990e\" y=\"140.528762\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"127.943766\" xlink:href=\"#mec1d73990e\" y=\"134.716798\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"129.472543\" xlink:href=\"#mec1d73990e\" y=\"112.084392\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"131.00132\" xlink:href=\"#mec1d73990e\" y=\"95.721448\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"132.530097\" xlink:href=\"#mec1d73990e\" y=\"134.870284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"134.058874\" xlink:href=\"#mec1d73990e\" y=\"194.025185\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"135.587651\" xlink:href=\"#mec1d73990e\" y=\"131.708586\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"137.116428\" xlink:href=\"#mec1d73990e\" y=\"167.347616\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"138.645205\" xlink:href=\"#mec1d73990e\" y=\"161.715346\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"140.173983\" xlink:href=\"#mec1d73990e\" y=\"155.195563\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"141.70276\" xlink:href=\"#mec1d73990e\" y=\"155.925093\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"143.231537\" xlink:href=\"#mec1d73990e\" y=\"86.682297\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"144.760314\" xlink:href=\"#mec1d73990e\" y=\"116.224898\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"146.289091\" xlink:href=\"#mec1d73990e\" y=\"143.683584\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"147.817868\" xlink:href=\"#mec1d73990e\" y=\"124.162093\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"149.346645\" xlink:href=\"#mec1d73990e\" y=\"111.120974\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.875422\" xlink:href=\"#mec1d73990e\" y=\"88.469027\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"152.4042\" xlink:href=\"#mec1d73990e\" y=\"90.045917\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"153.932977\" xlink:href=\"#mec1d73990e\" y=\"88.609663\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"155.461754\" xlink:href=\"#mec1d73990e\" y=\"80.545238\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"156.990531\" xlink:href=\"#mec1d73990e\" y=\"63.044401\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"158.519308\" xlink:href=\"#mec1d73990e\" y=\"76.322686\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"160.048085\" xlink:href=\"#mec1d73990e\" y=\"59.53269\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"161.576862\" xlink:href=\"#mec1d73990e\" y=\"68.33207\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"163.10564\" xlink:href=\"#mec1d73990e\" y=\"22.739663\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"164.634417\" xlink:href=\"#mec1d73990e\" y=\"39.374802\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"166.163194\" xlink:href=\"#mec1d73990e\" y=\"59.335453\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"167.691971\" xlink:href=\"#mec1d73990e\" y=\"59.781733\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"169.220748\" xlink:href=\"#mec1d73990e\" y=\"97.136178\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"170.749525\" xlink:href=\"#mec1d73990e\" y=\"107.809391\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"172.278302\" xlink:href=\"#mec1d73990e\" y=\"104.193473\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"173.807079\" xlink:href=\"#mec1d73990e\" y=\"129.79651\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"175.335857\" xlink:href=\"#mec1d73990e\" y=\"84.388065\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"176.864634\" xlink:href=\"#mec1d73990e\" y=\"88.20327\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"178.393411\" xlink:href=\"#mec1d73990e\" y=\"96.819923\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"179.922188\" xlink:href=\"#mec1d73990e\" y=\"147.460647\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"181.450965\" xlink:href=\"#mec1d73990e\" y=\"153.728034\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"182.979742\" xlink:href=\"#mec1d73990e\" y=\"136.306497\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"184.508519\" xlink:href=\"#mec1d73990e\" y=\"158.014072\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"186.037297\" xlink:href=\"#mec1d73990e\" y=\"153.983134\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"187.566074\" xlink:href=\"#mec1d73990e\" y=\"136.173356\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"189.094851\" xlink:href=\"#mec1d73990e\" y=\"138.077911\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"190.623628\" xlink:href=\"#mec1d73990e\" y=\"149.800901\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"192.152405\" xlink:href=\"#mec1d73990e\" y=\"168.107392\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"193.681182\" xlink:href=\"#mec1d73990e\" y=\"148.763305\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"195.209959\" xlink:href=\"#mec1d73990e\" y=\"123.959971\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"196.738736\" xlink:href=\"#mec1d73990e\" y=\"118.896067\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"198.267514\" xlink:href=\"#mec1d73990e\" y=\"115.058918\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"199.796291\" xlink:href=\"#mec1d73990e\" y=\"75.81135\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"201.325068\" xlink:href=\"#mec1d73990e\" y=\"79.758831\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"202.853845\" xlink:href=\"#mec1d73990e\" y=\"60.564517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"204.382622\" xlink:href=\"#mec1d73990e\" y=\"104.5169\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"205.911399\" xlink:href=\"#mec1d73990e\" y=\"63.535798\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"207.440176\" xlink:href=\"#mec1d73990e\" y=\"71.050454\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"208.968953\" xlink:href=\"#mec1d73990e\" y=\"106.957616\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"210.497731\" xlink:href=\"#mec1d73990e\" y=\"62.120591\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"212.026508\" xlink:href=\"#mec1d73990e\" y=\"87.457415\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"213.555285\" xlink:href=\"#mec1d73990e\" y=\"96.554668\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"215.084062\" xlink:href=\"#mec1d73990e\" y=\"87.428403\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"216.612839\" xlink:href=\"#mec1d73990e\" y=\"38.598209\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"218.141616\" xlink:href=\"#mec1d73990e\" y=\"43.335856\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"219.670393\" xlink:href=\"#mec1d73990e\" y=\"110.68323\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"221.199171\" xlink:href=\"#mec1d73990e\" y=\"149.119327\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"222.727948\" xlink:href=\"#mec1d73990e\" y=\"110.70886\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"224.256725\" xlink:href=\"#mec1d73990e\" y=\"105.79542\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.785502\" xlink:href=\"#mec1d73990e\" y=\"123.351579\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"227.314279\" xlink:href=\"#mec1d73990e\" y=\"153.372407\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"228.843056\" xlink:href=\"#mec1d73990e\" y=\"143.144433\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"230.371833\" xlink:href=\"#mec1d73990e\" y=\"156.179193\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"231.90061\" xlink:href=\"#mec1d73990e\" y=\"216.76017\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"233.429388\" xlink:href=\"#mec1d73990e\" y=\"139.461041\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"234.958165\" xlink:href=\"#mec1d73990e\" y=\"155.373857\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"236.486942\" xlink:href=\"#mec1d73990e\" y=\"158.283283\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"238.015719\" xlink:href=\"#mec1d73990e\" y=\"131.287968\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"239.544496\" xlink:href=\"#mec1d73990e\" y=\"140.589568\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"241.073273\" xlink:href=\"#mec1d73990e\" y=\"149.344365\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"242.60205\" xlink:href=\"#mec1d73990e\" y=\"170.30656\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"244.130828\" xlink:href=\"#mec1d73990e\" y=\"145.132454\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"245.659605\" xlink:href=\"#mec1d73990e\" y=\"126.041213\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"247.188382\" xlink:href=\"#mec1d73990e\" y=\"101.575354\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"248.717159\" xlink:href=\"#mec1d73990e\" y=\"112.24144\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"250.245936\" xlink:href=\"#mec1d73990e\" y=\"109.435309\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"251.774713\" xlink:href=\"#mec1d73990e\" y=\"106.04473\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"253.30349\" xlink:href=\"#mec1d73990e\" y=\"69.365766\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"254.832267\" xlink:href=\"#mec1d73990e\" y=\"80.940039\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"256.361045\" xlink:href=\"#mec1d73990e\" y=\"28.782869\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"257.889822\" xlink:href=\"#mec1d73990e\" y=\"55.317484\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.418599\" xlink:href=\"#mec1d73990e\" y=\"60.05123\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"260.947376\" xlink:href=\"#mec1d73990e\" y=\"66.292337\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"262.476153\" xlink:href=\"#mec1d73990e\" y=\"77.851991\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"264.00493\" xlink:href=\"#mec1d73990e\" y=\"48.690773\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"265.533707\" xlink:href=\"#mec1d73990e\" y=\"88.219207\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"267.062484\" xlink:href=\"#mec1d73990e\" y=\"108.793548\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"268.591262\" xlink:href=\"#mec1d73990e\" y=\"74.249532\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"270.120039\" xlink:href=\"#mec1d73990e\" y=\"101.017464\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"271.648816\" xlink:href=\"#mec1d73990e\" y=\"104.011185\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"273.177593\" xlink:href=\"#mec1d73990e\" y=\"142.839842\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"274.70637\" xlink:href=\"#mec1d73990e\" y=\"144.812001\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"276.235147\" xlink:href=\"#mec1d73990e\" y=\"158.785745\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"277.763924\" xlink:href=\"#mec1d73990e\" y=\"173.438484\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"279.292702\" xlink:href=\"#mec1d73990e\" y=\"191.443517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"280.821479\" xlink:href=\"#mec1d73990e\" y=\"176.265911\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"282.350256\" xlink:href=\"#mec1d73990e\" y=\"170.553215\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"283.879033\" xlink:href=\"#mec1d73990e\" y=\"131.847788\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"285.40781\" xlink:href=\"#mec1d73990e\" y=\"162.300524\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"286.936587\" xlink:href=\"#mec1d73990e\" y=\"166.811595\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"288.465364\" xlink:href=\"#mec1d73990e\" y=\"122.093394\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"289.994141\" xlink:href=\"#mec1d73990e\" y=\"129.325278\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"291.522919\" xlink:href=\"#mec1d73990e\" y=\"136.768439\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"293.051696\" xlink:href=\"#mec1d73990e\" y=\"138.276542\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"294.580473\" xlink:href=\"#mec1d73990e\" y=\"86.369845\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"296.10925\" xlink:href=\"#mec1d73990e\" y=\"109.671693\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"297.638027\" xlink:href=\"#mec1d73990e\" y=\"81.532618\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"299.166804\" xlink:href=\"#mec1d73990e\" y=\"44.05805\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"300.695581\" xlink:href=\"#mec1d73990e\" y=\"81.10193\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"302.224359\" xlink:href=\"#mec1d73990e\" y=\"50.579311\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"303.753136\" xlink:href=\"#mec1d73990e\" y=\"52.134811\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"305.281913\" xlink:href=\"#mec1d73990e\" y=\"43.072169\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"306.81069\" xlink:href=\"#mec1d73990e\" y=\"47.440311\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"308.339467\" xlink:href=\"#mec1d73990e\" y=\"85.664939\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"309.868244\" xlink:href=\"#mec1d73990e\" y=\"32.537585\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"311.397021\" xlink:href=\"#mec1d73990e\" y=\"57.981091\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"312.925798\" xlink:href=\"#mec1d73990e\" y=\"51.257691\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"314.454576\" xlink:href=\"#mec1d73990e\" y=\"106.010979\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"315.983353\" xlink:href=\"#mec1d73990e\" y=\"97.202423\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"317.51213\" xlink:href=\"#mec1d73990e\" y=\"89.707795\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"319.040907\" xlink:href=\"#mec1d73990e\" y=\"112.038834\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"320.569684\" xlink:href=\"#mec1d73990e\" y=\"130.054246\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"322.098461\" xlink:href=\"#mec1d73990e\" y=\"140.813598\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"323.627238\" xlink:href=\"#mec1d73990e\" y=\"130.161537\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"325.156015\" xlink:href=\"#mec1d73990e\" y=\"163.351334\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"326.684793\" xlink:href=\"#mec1d73990e\" y=\"137.473507\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"328.21357\" xlink:href=\"#mec1d73990e\" y=\"183.646862\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"329.742347\" xlink:href=\"#mec1d73990e\" y=\"160.314729\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"331.271124\" xlink:href=\"#mec1d73990e\" y=\"135.976622\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"332.799901\" xlink:href=\"#mec1d73990e\" y=\"140.817665\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"334.328678\" xlink:href=\"#mec1d73990e\" y=\"155.313369\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"335.857455\" xlink:href=\"#mec1d73990e\" y=\"167.685457\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"337.386233\" xlink:href=\"#mec1d73990e\" y=\"119.516284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"338.91501\" xlink:href=\"#mec1d73990e\" y=\"124.570304\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"340.443787\" xlink:href=\"#mec1d73990e\" y=\"126.255914\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"341.972564\" xlink:href=\"#mec1d73990e\" y=\"99.07254\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"343.501341\" xlink:href=\"#mec1d73990e\" y=\"84.731343\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"345.030118\" xlink:href=\"#mec1d73990e\" y=\"103.597402\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"346.558895\" xlink:href=\"#mec1d73990e\" y=\"55.446382\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"348.087672\" xlink:href=\"#mec1d73990e\" y=\"56.349945\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"349.61645\" xlink:href=\"#mec1d73990e\" y=\"65.911186\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"mb5808876ef\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"45.3898\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- −20 -->\r\n      <defs>\r\n       <path d=\"M 10.59375 35.5 \r\nL 73.1875 35.5 \r\nL 73.1875 27.203125 \r\nL 10.59375 27.203125 \r\nz\r\n\" id=\"DejaVuSans-8722\"/>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n      </defs>\r\n      <g transform=\"translate(34.837457 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"83.609229\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- −15 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(73.056885 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"121.828657\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- −10 -->\r\n      <g transform=\"translate(111.276313 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"160.048085\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- −5 -->\r\n      <g transform=\"translate(152.676992 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"198.267514\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(195.086264 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"236.486942\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(233.305692 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_7\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"274.70637\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(268.34387 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"312.925798\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 15 -->\r\n      <g transform=\"translate(306.563298 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_9\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"351.145227\" xlink:href=\"#mb5808876ef\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 20 -->\r\n      <g transform=\"translate(344.782727 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_10\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"mdf23da9441\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"213.77389\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 0.0 -->\r\n      <defs>\r\n       <path d=\"M 10.6875 12.40625 \r\nL 21 12.40625 \r\nL 21 0 \r\nL 10.6875 0 \r\nz\r\n\" id=\"DejaVuSans-46\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 217.573109)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"188.427056\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 0.5 -->\r\n      <g transform=\"translate(7.2 192.226275)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"163.080222\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 1.0 -->\r\n      <g transform=\"translate(7.2 166.879441)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"137.733388\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 1.5 -->\r\n      <g transform=\"translate(7.2 141.532607)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_14\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"112.386555\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 2.0 -->\r\n      <g transform=\"translate(7.2 116.185773)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_15\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"87.039721\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_15\">\r\n      <!-- 2.5 -->\r\n      <g transform=\"translate(7.2 90.838939)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_16\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"61.692887\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_16\">\r\n      <!-- 3.0 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 65.492105)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_8\">\r\n     <g id=\"line2d_17\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"36.346053\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_17\">\r\n      <!-- 3.5 -->\r\n      <g transform=\"translate(7.2 40.145271)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_9\">\r\n     <g id=\"line2d_18\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#mdf23da9441\" y=\"10.999219\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_18\">\r\n      <!-- 4.0 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 14.798437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 30.103125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 364.903125 227.343223 \r\nL 364.903125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 364.903125 227.343223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 30.103125 9.903223 \r\nL 364.903125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p77e622bcb4\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.103125\" y=\"9.903223\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "x,y = generate_dataset()\n",
    "plt.scatter(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def euclidean_distance(x_i, x):\n",
    "    distance = np.sqrt(np.square(x - x_i))\n",
    "    return distance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kernels\n",
    "\n",
    "This method use idea of kernels: model uses function  instead of objects weights. <br>\n",
    "That function call \"<b>Kernel</b>\". <br>\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gauss_kernel(r):\n",
    "    return np.exp(-2*np.square(r))\n",
    "\n",
    "def triangle_kernel(r):\n",
    "    kernel  = 1 - np.abs(r)\n",
    "    return kernel if np.abs(r) <= 1 else 0\n",
    "\n",
    "def square_kernel(r):\n",
    "    kernel  = 1 - np.square(r)\n",
    "    return kernel if np.abs(r) <= 1 else 0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define Nadaraya-Watson kernel smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def nadaraya_watson_kernel_smoothing(x, X, Y, kernel, window, distance_metric):\n",
    "    \n",
    "    kernel_operation = lambda xi: kernel(distance_metric(x, xi) / window)\n",
    "    \n",
    "    X_kerneled = np.array( [ kernel_operation(x_i) for x_i in X ] )\n",
    "    \n",
    "    return np.dot(y, X_kerneled) / sum(X_kerneled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": [
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend",
     "outputPrepend"
    ]
   },
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.collections.PathCollection at 0x2c04ee771c8>"
     },
     "metadata": {},
     "execution_count": 7
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"251.221348pt\" version=\"1.1\" viewBox=\"0 0 372.103125 251.221348\" width=\"372.103125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <defs>\r\n  <style type=\"text/css\">\r\n*{stroke-linecap:butt;stroke-linejoin:round;}\r\n  </style>\r\n </defs>\r\n <g id=\"figure_1\">\r\n  <g id=\"patch_1\">\r\n   <path d=\"M 0 251.221348 \r\nL 372.103125 251.221348 \r\nL 372.103125 0 \r\nL 0 0 \r\nz\r\n\" style=\"fill:none;\"/>\r\n  </g>\r\n  <g id=\"axes_1\">\r\n   <g id=\"patch_2\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 364.903125 227.343223 \r\nL 364.903125 9.903223 \r\nL 30.103125 9.903223 \r\nz\r\n\" style=\"fill:#ffffff;\"/>\r\n   </g>\r\n   <g id=\"PathCollection_1\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"mf58f1f7912\" style=\"stroke:#1f77b4;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p9053d64365)\">\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"48.264609\" xlink:href=\"#mf58f1f7912\" y=\"167.621518\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"49.764494\" xlink:href=\"#mf58f1f7912\" y=\"157.374215\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"51.264379\" xlink:href=\"#mf58f1f7912\" y=\"182.712212\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"52.764263\" xlink:href=\"#mf58f1f7912\" y=\"181.043622\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"54.264148\" xlink:href=\"#mf58f1f7912\" y=\"117.496099\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"55.764032\" xlink:href=\"#mf58f1f7912\" y=\"104.626643\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"57.263917\" xlink:href=\"#mf58f1f7912\" y=\"126.318841\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"58.763801\" xlink:href=\"#mf58f1f7912\" y=\"84.52164\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"60.263686\" xlink:href=\"#mf58f1f7912\" y=\"108.610582\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"61.763571\" xlink:href=\"#mf58f1f7912\" y=\"105.444292\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"63.263455\" xlink:href=\"#mf58f1f7912\" y=\"72.298827\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"64.76334\" xlink:href=\"#mf58f1f7912\" y=\"82.93793\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"66.263224\" xlink:href=\"#mf58f1f7912\" y=\"20.486275\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"67.763109\" xlink:href=\"#mf58f1f7912\" y=\"66.75284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"69.262994\" xlink:href=\"#mf58f1f7912\" y=\"24.695163\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"70.762878\" xlink:href=\"#mf58f1f7912\" y=\"70.103643\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"72.262763\" xlink:href=\"#mf58f1f7912\" y=\"61.28618\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"73.762647\" xlink:href=\"#mf58f1f7912\" y=\"59.138083\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"75.262532\" xlink:href=\"#mf58f1f7912\" y=\"78.516671\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"76.762416\" xlink:href=\"#mf58f1f7912\" y=\"107.14704\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"78.262301\" xlink:href=\"#mf58f1f7912\" y=\"66.488639\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"79.762186\" xlink:href=\"#mf58f1f7912\" y=\"99.143774\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"81.26207\" xlink:href=\"#mf58f1f7912\" y=\"142.699957\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"82.761955\" xlink:href=\"#mf58f1f7912\" y=\"82.419578\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"84.261839\" xlink:href=\"#mf58f1f7912\" y=\"107.448986\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"85.761724\" xlink:href=\"#mf58f1f7912\" y=\"165.705072\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"87.261608\" xlink:href=\"#mf58f1f7912\" y=\"150.70623\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"88.761493\" xlink:href=\"#mf58f1f7912\" y=\"135.014998\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"90.261378\" xlink:href=\"#mf58f1f7912\" y=\"189.485541\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"91.761262\" xlink:href=\"#mf58f1f7912\" y=\"151.809412\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"93.261147\" xlink:href=\"#mf58f1f7912\" y=\"173.240263\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"94.761031\" xlink:href=\"#mf58f1f7912\" y=\"180.807674\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"96.260916\" xlink:href=\"#mf58f1f7912\" y=\"147.522319\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"97.760801\" xlink:href=\"#mf58f1f7912\" y=\"169.032922\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"99.260685\" xlink:href=\"#mf58f1f7912\" y=\"141.983054\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"100.76057\" xlink:href=\"#mf58f1f7912\" y=\"129.512892\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"102.260454\" xlink:href=\"#mf58f1f7912\" y=\"149.472974\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"103.760339\" xlink:href=\"#mf58f1f7912\" y=\"141.252513\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"105.260223\" xlink:href=\"#mf58f1f7912\" y=\"144.518305\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"106.760108\" xlink:href=\"#mf58f1f7912\" y=\"42.372501\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"108.259993\" xlink:href=\"#mf58f1f7912\" y=\"73.345405\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"109.759877\" xlink:href=\"#mf58f1f7912\" y=\"78.974496\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"111.259762\" xlink:href=\"#mf58f1f7912\" y=\"90.637074\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"112.759646\" xlink:href=\"#mf58f1f7912\" y=\"97.268182\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"114.259531\" xlink:href=\"#mf58f1f7912\" y=\"93.19517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"115.759415\" xlink:href=\"#mf58f1f7912\" y=\"58.989527\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"117.2593\" xlink:href=\"#mf58f1f7912\" y=\"79.071064\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"118.759185\" xlink:href=\"#mf58f1f7912\" y=\"43.65918\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"120.259069\" xlink:href=\"#mf58f1f7912\" y=\"47.52619\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"121.758954\" xlink:href=\"#mf58f1f7912\" y=\"72.493718\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"123.258838\" xlink:href=\"#mf58f1f7912\" y=\"63.488366\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"124.758723\" xlink:href=\"#mf58f1f7912\" y=\"109.417378\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"126.258608\" xlink:href=\"#mf58f1f7912\" y=\"82.048084\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"127.758492\" xlink:href=\"#mf58f1f7912\" y=\"140.528762\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"129.258377\" xlink:href=\"#mf58f1f7912\" y=\"134.716798\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"130.758261\" xlink:href=\"#mf58f1f7912\" y=\"112.084392\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"132.258146\" xlink:href=\"#mf58f1f7912\" y=\"95.721448\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"133.75803\" xlink:href=\"#mf58f1f7912\" y=\"134.870284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"135.257915\" xlink:href=\"#mf58f1f7912\" y=\"194.025185\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"136.7578\" xlink:href=\"#mf58f1f7912\" y=\"131.708586\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"138.257684\" xlink:href=\"#mf58f1f7912\" y=\"167.347616\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"139.757569\" xlink:href=\"#mf58f1f7912\" y=\"161.715346\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"141.257453\" xlink:href=\"#mf58f1f7912\" y=\"155.195563\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"142.757338\" xlink:href=\"#mf58f1f7912\" y=\"155.925093\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"144.257222\" xlink:href=\"#mf58f1f7912\" y=\"86.682297\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"145.757107\" xlink:href=\"#mf58f1f7912\" y=\"116.224898\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"147.256992\" xlink:href=\"#mf58f1f7912\" y=\"143.683584\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"148.756876\" xlink:href=\"#mf58f1f7912\" y=\"124.162093\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"150.256761\" xlink:href=\"#mf58f1f7912\" y=\"111.120974\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"151.756645\" xlink:href=\"#mf58f1f7912\" y=\"88.469027\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"153.25653\" xlink:href=\"#mf58f1f7912\" y=\"90.045917\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"154.756415\" xlink:href=\"#mf58f1f7912\" y=\"88.609663\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"156.256299\" xlink:href=\"#mf58f1f7912\" y=\"80.545238\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"157.756184\" xlink:href=\"#mf58f1f7912\" y=\"63.044401\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"159.256068\" xlink:href=\"#mf58f1f7912\" y=\"76.322686\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"160.755953\" xlink:href=\"#mf58f1f7912\" y=\"59.53269\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"162.255837\" xlink:href=\"#mf58f1f7912\" y=\"68.33207\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"163.755722\" xlink:href=\"#mf58f1f7912\" y=\"22.739663\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"165.255607\" xlink:href=\"#mf58f1f7912\" y=\"39.374802\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"166.755491\" xlink:href=\"#mf58f1f7912\" y=\"59.335453\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"168.255376\" xlink:href=\"#mf58f1f7912\" y=\"59.781733\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"169.75526\" xlink:href=\"#mf58f1f7912\" y=\"97.136178\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"171.255145\" xlink:href=\"#mf58f1f7912\" y=\"107.809391\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"172.755029\" xlink:href=\"#mf58f1f7912\" y=\"104.193473\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"174.254914\" xlink:href=\"#mf58f1f7912\" y=\"129.79651\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"175.754799\" xlink:href=\"#mf58f1f7912\" y=\"84.388065\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"177.254683\" xlink:href=\"#mf58f1f7912\" y=\"88.20327\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"178.754568\" xlink:href=\"#mf58f1f7912\" y=\"96.819923\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"180.254452\" xlink:href=\"#mf58f1f7912\" y=\"147.460647\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"181.754337\" xlink:href=\"#mf58f1f7912\" y=\"153.728034\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"183.254222\" xlink:href=\"#mf58f1f7912\" y=\"136.306497\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"184.754106\" xlink:href=\"#mf58f1f7912\" y=\"158.014072\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"186.253991\" xlink:href=\"#mf58f1f7912\" y=\"153.983134\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"187.753875\" xlink:href=\"#mf58f1f7912\" y=\"136.173356\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"189.25376\" xlink:href=\"#mf58f1f7912\" y=\"138.077911\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"190.753644\" xlink:href=\"#mf58f1f7912\" y=\"149.800901\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"192.253529\" xlink:href=\"#mf58f1f7912\" y=\"168.107392\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"193.753414\" xlink:href=\"#mf58f1f7912\" y=\"148.763305\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"195.253298\" xlink:href=\"#mf58f1f7912\" y=\"123.959971\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"196.753183\" xlink:href=\"#mf58f1f7912\" y=\"118.896067\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"198.253067\" xlink:href=\"#mf58f1f7912\" y=\"115.058918\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"199.752952\" xlink:href=\"#mf58f1f7912\" y=\"75.81135\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"201.252836\" xlink:href=\"#mf58f1f7912\" y=\"79.758831\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"202.752721\" xlink:href=\"#mf58f1f7912\" y=\"60.564517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"204.252606\" xlink:href=\"#mf58f1f7912\" y=\"104.5169\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"205.75249\" xlink:href=\"#mf58f1f7912\" y=\"63.535798\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"207.252375\" xlink:href=\"#mf58f1f7912\" y=\"71.050454\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"208.752259\" xlink:href=\"#mf58f1f7912\" y=\"106.957616\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"210.252144\" xlink:href=\"#mf58f1f7912\" y=\"62.120591\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"211.752028\" xlink:href=\"#mf58f1f7912\" y=\"87.457415\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"213.251913\" xlink:href=\"#mf58f1f7912\" y=\"96.554668\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"214.751798\" xlink:href=\"#mf58f1f7912\" y=\"87.428403\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"216.251682\" xlink:href=\"#mf58f1f7912\" y=\"38.598209\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"217.751567\" xlink:href=\"#mf58f1f7912\" y=\"43.335856\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"219.251451\" xlink:href=\"#mf58f1f7912\" y=\"110.68323\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"220.751336\" xlink:href=\"#mf58f1f7912\" y=\"149.119327\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"222.251221\" xlink:href=\"#mf58f1f7912\" y=\"110.70886\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"223.751105\" xlink:href=\"#mf58f1f7912\" y=\"105.79542\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"225.25099\" xlink:href=\"#mf58f1f7912\" y=\"123.351579\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"226.750874\" xlink:href=\"#mf58f1f7912\" y=\"153.372407\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"228.250759\" xlink:href=\"#mf58f1f7912\" y=\"143.144433\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"229.750643\" xlink:href=\"#mf58f1f7912\" y=\"156.179193\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"231.250528\" xlink:href=\"#mf58f1f7912\" y=\"216.76017\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"232.750413\" xlink:href=\"#mf58f1f7912\" y=\"139.461041\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"234.250297\" xlink:href=\"#mf58f1f7912\" y=\"155.373857\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"235.750182\" xlink:href=\"#mf58f1f7912\" y=\"158.283283\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"237.250066\" xlink:href=\"#mf58f1f7912\" y=\"131.287968\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"238.749951\" xlink:href=\"#mf58f1f7912\" y=\"140.589568\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"240.249835\" xlink:href=\"#mf58f1f7912\" y=\"149.344365\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"241.74972\" xlink:href=\"#mf58f1f7912\" y=\"170.30656\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"243.249605\" xlink:href=\"#mf58f1f7912\" y=\"145.132454\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"244.749489\" xlink:href=\"#mf58f1f7912\" y=\"126.041213\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"246.249374\" xlink:href=\"#mf58f1f7912\" y=\"101.575354\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"247.749258\" xlink:href=\"#mf58f1f7912\" y=\"112.24144\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"249.249143\" xlink:href=\"#mf58f1f7912\" y=\"109.435309\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"250.749028\" xlink:href=\"#mf58f1f7912\" y=\"106.04473\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"252.248912\" xlink:href=\"#mf58f1f7912\" y=\"69.365766\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"253.748797\" xlink:href=\"#mf58f1f7912\" y=\"80.940039\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"255.248681\" xlink:href=\"#mf58f1f7912\" y=\"28.782869\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"256.748566\" xlink:href=\"#mf58f1f7912\" y=\"55.317484\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"258.24845\" xlink:href=\"#mf58f1f7912\" y=\"60.05123\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"259.748335\" xlink:href=\"#mf58f1f7912\" y=\"66.292337\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"261.24822\" xlink:href=\"#mf58f1f7912\" y=\"77.851991\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"262.748104\" xlink:href=\"#mf58f1f7912\" y=\"48.690773\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"264.247989\" xlink:href=\"#mf58f1f7912\" y=\"88.219207\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"265.747873\" xlink:href=\"#mf58f1f7912\" y=\"108.793548\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"267.247758\" xlink:href=\"#mf58f1f7912\" y=\"74.249532\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"268.747642\" xlink:href=\"#mf58f1f7912\" y=\"101.017464\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"270.247527\" xlink:href=\"#mf58f1f7912\" y=\"104.011185\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"271.747412\" xlink:href=\"#mf58f1f7912\" y=\"142.839842\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"273.247296\" xlink:href=\"#mf58f1f7912\" y=\"144.812001\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"274.747181\" xlink:href=\"#mf58f1f7912\" y=\"158.785745\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"276.247065\" xlink:href=\"#mf58f1f7912\" y=\"173.438484\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"277.74695\" xlink:href=\"#mf58f1f7912\" y=\"191.443517\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"279.246835\" xlink:href=\"#mf58f1f7912\" y=\"176.265911\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"280.746719\" xlink:href=\"#mf58f1f7912\" y=\"170.553215\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"282.246604\" xlink:href=\"#mf58f1f7912\" y=\"131.847788\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"283.746488\" xlink:href=\"#mf58f1f7912\" y=\"162.300524\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"285.246373\" xlink:href=\"#mf58f1f7912\" y=\"166.811595\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"286.746257\" xlink:href=\"#mf58f1f7912\" y=\"122.093394\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"288.246142\" xlink:href=\"#mf58f1f7912\" y=\"129.325278\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"289.746027\" xlink:href=\"#mf58f1f7912\" y=\"136.768439\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"291.245911\" xlink:href=\"#mf58f1f7912\" y=\"138.276542\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"292.745796\" xlink:href=\"#mf58f1f7912\" y=\"86.369845\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"294.24568\" xlink:href=\"#mf58f1f7912\" y=\"109.671693\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"295.745565\" xlink:href=\"#mf58f1f7912\" y=\"81.532618\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"297.245449\" xlink:href=\"#mf58f1f7912\" y=\"44.05805\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"298.745334\" xlink:href=\"#mf58f1f7912\" y=\"81.10193\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"300.245219\" xlink:href=\"#mf58f1f7912\" y=\"50.579311\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"301.745103\" xlink:href=\"#mf58f1f7912\" y=\"52.134811\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"303.244988\" xlink:href=\"#mf58f1f7912\" y=\"43.072169\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"304.744872\" xlink:href=\"#mf58f1f7912\" y=\"47.440311\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"306.244757\" xlink:href=\"#mf58f1f7912\" y=\"85.664939\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"307.744642\" xlink:href=\"#mf58f1f7912\" y=\"32.537585\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"309.244526\" xlink:href=\"#mf58f1f7912\" y=\"57.981091\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"310.744411\" xlink:href=\"#mf58f1f7912\" y=\"51.257691\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"312.244295\" xlink:href=\"#mf58f1f7912\" y=\"106.010979\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"313.74418\" xlink:href=\"#mf58f1f7912\" y=\"97.202423\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"315.244064\" xlink:href=\"#mf58f1f7912\" y=\"89.707795\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"316.743949\" xlink:href=\"#mf58f1f7912\" y=\"112.038834\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"318.243834\" xlink:href=\"#mf58f1f7912\" y=\"130.054246\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"319.743718\" xlink:href=\"#mf58f1f7912\" y=\"140.813598\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"321.243603\" xlink:href=\"#mf58f1f7912\" y=\"130.161537\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"322.743487\" xlink:href=\"#mf58f1f7912\" y=\"163.351334\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"324.243372\" xlink:href=\"#mf58f1f7912\" y=\"137.473507\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"325.743256\" xlink:href=\"#mf58f1f7912\" y=\"183.646862\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"327.243141\" xlink:href=\"#mf58f1f7912\" y=\"160.314729\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"328.743026\" xlink:href=\"#mf58f1f7912\" y=\"135.976622\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"330.24291\" xlink:href=\"#mf58f1f7912\" y=\"140.817665\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"331.742795\" xlink:href=\"#mf58f1f7912\" y=\"155.313369\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"333.242679\" xlink:href=\"#mf58f1f7912\" y=\"167.685457\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"334.742564\" xlink:href=\"#mf58f1f7912\" y=\"119.516284\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"336.242449\" xlink:href=\"#mf58f1f7912\" y=\"124.570304\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"337.742333\" xlink:href=\"#mf58f1f7912\" y=\"126.255914\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"339.242218\" xlink:href=\"#mf58f1f7912\" y=\"99.07254\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"340.742102\" xlink:href=\"#mf58f1f7912\" y=\"84.731343\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"342.241987\" xlink:href=\"#mf58f1f7912\" y=\"103.597402\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"343.741871\" xlink:href=\"#mf58f1f7912\" y=\"55.446382\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"345.241756\" xlink:href=\"#mf58f1f7912\" y=\"56.349945\"/>\r\n     <use style=\"fill:#1f77b4;stroke:#1f77b4;\" x=\"346.741641\" xlink:href=\"#mf58f1f7912\" y=\"65.911186\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"PathCollection_2\">\r\n    <defs>\r\n     <path d=\"M 0 3 \r\nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \r\nC 2.683901 1.55874 3 0.795609 3 0 \r\nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \r\nC 1.55874 -2.683901 0.795609 -3 0 -3 \r\nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \r\nC -2.683901 -1.55874 -3 -0.795609 -3 0 \r\nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \r\nC -1.55874 2.683901 -0.795609 3 0 3 \r\nz\r\n\" id=\"me6c63d6fcd\" style=\"stroke:#ff0000;\"/>\r\n    </defs>\r\n    <g clip-path=\"url(#p9053d64365)\">\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"48.264609\" xlink:href=\"#me6c63d6fcd\" y=\"165.709894\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"49.764494\" xlink:href=\"#me6c63d6fcd\" y=\"163.38415\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"51.264379\" xlink:href=\"#me6c63d6fcd\" y=\"158.050061\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"52.764263\" xlink:href=\"#me6c63d6fcd\" y=\"148.929427\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"54.264148\" xlink:href=\"#me6c63d6fcd\" y=\"136.930594\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"55.764032\" xlink:href=\"#me6c63d6fcd\" y=\"124.519351\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"57.263917\" xlink:href=\"#me6c63d6fcd\" y=\"113.898272\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"58.763801\" xlink:href=\"#me6c63d6fcd\" y=\"105.422226\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"60.263686\" xlink:href=\"#me6c63d6fcd\" y=\"97.753369\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"61.763571\" xlink:href=\"#me6c63d6fcd\" y=\"89.198395\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"63.263455\" xlink:href=\"#me6c63d6fcd\" y=\"79.126943\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"64.76334\" xlink:href=\"#me6c63d6fcd\" y=\"68.63127\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"66.263224\" xlink:href=\"#me6c63d6fcd\" y=\"59.946624\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"67.763109\" xlink:href=\"#me6c63d6fcd\" y=\"55.043041\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"69.262994\" xlink:href=\"#me6c63d6fcd\" y=\"54.533476\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"70.762878\" xlink:href=\"#me6c63d6fcd\" y=\"57.685503\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"72.262763\" xlink:href=\"#me6c63d6fcd\" y=\"63.24305\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"73.762647\" xlink:href=\"#me6c63d6fcd\" y=\"70.129797\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"75.262532\" xlink:href=\"#me6c63d6fcd\" y=\"77.587914\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"76.762416\" xlink:href=\"#me6c63d6fcd\" y=\"85.140358\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"78.262301\" xlink:href=\"#me6c63d6fcd\" y=\"92.622155\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"79.762186\" xlink:href=\"#me6c63d6fcd\" y=\"100.070094\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"81.26207\" xlink:href=\"#me6c63d6fcd\" y=\"107.696538\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"82.761955\" xlink:href=\"#me6c63d6fcd\" y=\"116.057045\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"84.261839\" xlink:href=\"#me6c63d6fcd\" y=\"125.63098\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"85.761724\" xlink:href=\"#me6c63d6fcd\" y=\"135.944854\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"87.261608\" xlink:href=\"#me6c63d6fcd\" y=\"145.684885\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"88.761493\" xlink:href=\"#me6c63d6fcd\" y=\"153.760704\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"90.261378\" xlink:href=\"#me6c63d6fcd\" y=\"159.753952\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"91.761262\" xlink:href=\"#me6c63d6fcd\" y=\"163.493508\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"93.261147\" xlink:href=\"#me6c63d6fcd\" y=\"164.746705\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"94.761031\" xlink:href=\"#me6c63d6fcd\" y=\"163.385569\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"96.260916\" xlink:href=\"#me6c63d6fcd\" y=\"159.695478\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"97.760801\" xlink:href=\"#me6c63d6fcd\" y=\"154.46991\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"99.260685\" xlink:href=\"#me6c63d6fcd\" y=\"148.63773\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"100.76057\" xlink:href=\"#me6c63d6fcd\" y=\"142.42933\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"102.260454\" xlink:href=\"#me6c63d6fcd\" y=\"134.785196\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"103.760339\" xlink:href=\"#me6c63d6fcd\" y=\"124.199089\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"105.260223\" xlink:href=\"#me6c63d6fcd\" y=\"110.880661\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"106.760108\" xlink:href=\"#me6c63d6fcd\" y=\"97.801023\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"108.259993\" xlink:href=\"#me6c63d6fcd\" y=\"88.688918\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"109.759877\" xlink:href=\"#me6c63d6fcd\" y=\"84.801053\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"111.259762\" xlink:href=\"#me6c63d6fcd\" y=\"84.014343\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"112.759646\" xlink:href=\"#me6c63d6fcd\" y=\"82.914777\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"114.259531\" xlink:href=\"#me6c63d6fcd\" y=\"79.427886\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"115.759415\" xlink:href=\"#me6c63d6fcd\" y=\"73.833351\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"117.2593\" xlink:href=\"#me6c63d6fcd\" y=\"68.117562\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"118.759185\" xlink:href=\"#me6c63d6fcd\" y=\"64.730868\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"120.259069\" xlink:href=\"#me6c63d6fcd\" y=\"65.490836\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"121.758954\" xlink:href=\"#me6c63d6fcd\" y=\"70.901864\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"123.258838\" xlink:href=\"#me6c63d6fcd\" y=\"80.102235\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"124.758723\" xlink:href=\"#me6c63d6fcd\" y=\"91.327978\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"126.258608\" xlink:href=\"#me6c63d6fcd\" y=\"102.437658\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"127.758492\" xlink:href=\"#me6c63d6fcd\" y=\"111.5258\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"129.258377\" xlink:href=\"#me6c63d6fcd\" y=\"117.992225\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"130.758261\" xlink:href=\"#me6c63d6fcd\" y=\"123.274348\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"132.258146\" xlink:href=\"#me6c63d6fcd\" y=\"129.671982\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"133.75803\" xlink:href=\"#me6c63d6fcd\" y=\"137.870572\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"135.257915\" xlink:href=\"#me6c63d6fcd\" y=\"146.099863\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"136.7578\" xlink:href=\"#me6c63d6fcd\" y=\"151.877099\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"138.257684\" xlink:href=\"#me6c63d6fcd\" y=\"153.787428\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"139.757569\" xlink:href=\"#me6c63d6fcd\" y=\"151.537668\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"141.257453\" xlink:href=\"#me6c63d6fcd\" y=\"145.611573\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"142.757338\" xlink:href=\"#me6c63d6fcd\" y=\"137.622638\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"144.257222\" xlink:href=\"#me6c63d6fcd\" y=\"130.058405\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"145.757107\" xlink:href=\"#me6c63d6fcd\" y=\"124.500677\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"147.256992\" xlink:href=\"#me6c63d6fcd\" y=\"120.203023\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"148.756876\" xlink:href=\"#me6c63d6fcd\" y=\"115.117149\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"150.256761\" xlink:href=\"#me6c63d6fcd\" y=\"108.198364\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"151.756645\" xlink:href=\"#me6c63d6fcd\" y=\"100.179204\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"153.25653\" xlink:href=\"#me6c63d6fcd\" y=\"92.361238\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"154.756415\" xlink:href=\"#me6c63d6fcd\" y=\"85.370555\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"156.256299\" xlink:href=\"#me6c63d6fcd\" y=\"79.101271\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"157.756184\" xlink:href=\"#me6c63d6fcd\" y=\"73.201379\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"159.256068\" xlink:href=\"#me6c63d6fcd\" y=\"67.307758\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"160.755953\" xlink:href=\"#me6c63d6fcd\" y=\"61.314912\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"162.255837\" xlink:href=\"#me6c63d6fcd\" y=\"55.992342\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"163.755722\" xlink:href=\"#me6c63d6fcd\" y=\"53.202523\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"165.255607\" xlink:href=\"#me6c63d6fcd\" y=\"54.939257\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"166.755491\" xlink:href=\"#me6c63d6fcd\" y=\"61.841589\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"168.255376\" xlink:href=\"#me6c63d6fcd\" y=\"72.557647\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"169.75526\" xlink:href=\"#me6c63d6fcd\" y=\"84.341724\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"171.255145\" xlink:href=\"#me6c63d6fcd\" y=\"94.268298\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"172.755029\" xlink:href=\"#me6c63d6fcd\" y=\"100.504931\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"174.254914\" xlink:href=\"#me6c63d6fcd\" y=\"103.308902\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"175.754799\" xlink:href=\"#me6c63d6fcd\" y=\"105.127925\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"177.254683\" xlink:href=\"#me6c63d6fcd\" y=\"109.137914\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"178.754568\" xlink:href=\"#me6c63d6fcd\" y=\"116.830331\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"180.254452\" xlink:href=\"#me6c63d6fcd\" y=\"126.815872\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"181.754337\" xlink:href=\"#me6c63d6fcd\" y=\"136.13462\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"183.254222\" xlink:href=\"#me6c63d6fcd\" y=\"142.573573\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"184.754106\" xlink:href=\"#me6c63d6fcd\" y=\"145.732872\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"186.253991\" xlink:href=\"#me6c63d6fcd\" y=\"146.602504\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"187.753875\" xlink:href=\"#me6c63d6fcd\" y=\"146.653424\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"189.25376\" xlink:href=\"#me6c63d6fcd\" y=\"146.80311\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"190.753644\" xlink:href=\"#me6c63d6fcd\" y=\"146.550305\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"192.253529\" xlink:href=\"#me6c63d6fcd\" y=\"144.213125\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"193.753414\" xlink:href=\"#me6c63d6fcd\" y=\"138.365677\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"195.253298\" xlink:href=\"#me6c63d6fcd\" y=\"129.003047\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"196.753183\" xlink:href=\"#me6c63d6fcd\" y=\"117.378525\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"198.253067\" xlink:href=\"#me6c63d6fcd\" y=\"105.244059\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"199.752952\" xlink:href=\"#me6c63d6fcd\" y=\"94.425058\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"201.252836\" xlink:href=\"#me6c63d6fcd\" y=\"86.432633\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"202.752721\" xlink:href=\"#me6c63d6fcd\" y=\"81.814838\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"204.252606\" xlink:href=\"#me6c63d6fcd\" y=\"79.974268\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"205.75249\" xlink:href=\"#me6c63d6fcd\" y=\"79.840395\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"207.252375\" xlink:href=\"#me6c63d6fcd\" y=\"80.551255\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"208.752259\" xlink:href=\"#me6c63d6fcd\" y=\"81.48151\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"210.252144\" xlink:href=\"#me6c63d6fcd\" y=\"81.980003\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"211.752028\" xlink:href=\"#me6c63d6fcd\" y=\"81.328963\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"213.251913\" xlink:href=\"#me6c63d6fcd\" y=\"79.298686\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"214.751798\" xlink:href=\"#me6c63d6fcd\" y=\"77.242232\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"216.251682\" xlink:href=\"#me6c63d6fcd\" y=\"78.185365\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"217.751567\" xlink:href=\"#me6c63d6fcd\" y=\"84.493837\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"219.251451\" xlink:href=\"#me6c63d6fcd\" y=\"95.171321\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"220.751336\" xlink:href=\"#me6c63d6fcd\" y=\"106.528954\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"222.251221\" xlink:href=\"#me6c63d6fcd\" y=\"115.861297\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"223.751105\" xlink:href=\"#me6c63d6fcd\" y=\"123.594949\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"225.25099\" xlink:href=\"#me6c63d6fcd\" y=\"131.706216\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"226.750874\" xlink:href=\"#me6c63d6fcd\" y=\"141.067424\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"228.250759\" xlink:href=\"#me6c63d6fcd\" y=\"150.583859\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"229.750643\" xlink:href=\"#me6c63d6fcd\" y=\"158.007889\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"231.250528\" xlink:href=\"#me6c63d6fcd\" y=\"161.346224\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"232.750413\" xlink:href=\"#me6c63d6fcd\" y=\"160.212748\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"234.250297\" xlink:href=\"#me6c63d6fcd\" y=\"156.177659\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"235.750182\" xlink:href=\"#me6c63d6fcd\" y=\"151.699301\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"237.250066\" xlink:href=\"#me6c63d6fcd\" y=\"148.64465\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"238.749951\" xlink:href=\"#me6c63d6fcd\" y=\"147.340366\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"240.249835\" xlink:href=\"#me6c63d6fcd\" y=\"146.368987\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"241.74972\" xlink:href=\"#me6c63d6fcd\" y=\"143.457203\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"243.249605\" xlink:href=\"#me6c63d6fcd\" y=\"137.274781\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"244.749489\" xlink:href=\"#me6c63d6fcd\" y=\"128.555101\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"246.249374\" xlink:href=\"#me6c63d6fcd\" y=\"119.211935\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"247.749258\" xlink:href=\"#me6c63d6fcd\" y=\"110.381656\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"249.249143\" xlink:href=\"#me6c63d6fcd\" y=\"101.582363\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"250.749028\" xlink:href=\"#me6c63d6fcd\" y=\"91.773844\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"252.248912\" xlink:href=\"#me6c63d6fcd\" y=\"80.981746\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"253.748797\" xlink:href=\"#me6c63d6fcd\" y=\"70.822582\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"255.248681\" xlink:href=\"#me6c63d6fcd\" y=\"63.551467\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"256.748566\" xlink:href=\"#me6c63d6fcd\" y=\"60.511936\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"258.24845\" xlink:href=\"#me6c63d6fcd\" y=\"61.334964\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"259.748335\" xlink:href=\"#me6c63d6fcd\" y=\"64.611123\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"261.24822\" xlink:href=\"#me6c63d6fcd\" y=\"69.224497\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"262.748104\" xlink:href=\"#me6c63d6fcd\" y=\"74.820066\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"264.247989\" xlink:href=\"#me6c63d6fcd\" y=\"81.230163\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"265.747873\" xlink:href=\"#me6c63d6fcd\" y=\"88.214883\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"267.247758\" xlink:href=\"#me6c63d6fcd\" y=\"96.029089\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"268.747642\" xlink:href=\"#me6c63d6fcd\" y=\"105.558662\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"270.247527\" xlink:href=\"#me6c63d6fcd\" y=\"117.35477\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"271.747412\" xlink:href=\"#me6c63d6fcd\" y=\"130.783409\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"273.247296\" xlink:href=\"#me6c63d6fcd\" y=\"144.297308\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"274.747181\" xlink:href=\"#me6c63d6fcd\" y=\"156.152155\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"276.247065\" xlink:href=\"#me6c63d6fcd\" y=\"164.71446\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"277.74695\" xlink:href=\"#me6c63d6fcd\" y=\"168.720722\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"279.246835\" xlink:href=\"#me6c63d6fcd\" y=\"167.982633\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"280.746719\" xlink:href=\"#me6c63d6fcd\" y=\"163.815074\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"282.246604\" xlink:href=\"#me6c63d6fcd\" y=\"158.211296\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"283.746488\" xlink:href=\"#me6c63d6fcd\" y=\"152.406537\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"285.246373\" xlink:href=\"#me6c63d6fcd\" y=\"146.509403\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"286.746257\" xlink:href=\"#me6c63d6fcd\" y=\"140.319091\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"288.246142\" xlink:href=\"#me6c63d6fcd\" y=\"133.732815\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"289.746027\" xlink:href=\"#me6c63d6fcd\" y=\"126.312628\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"291.245911\" xlink:href=\"#me6c63d6fcd\" y=\"117.307463\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"292.745796\" xlink:href=\"#me6c63d6fcd\" y=\"106.473568\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"294.24568\" xlink:href=\"#me6c63d6fcd\" y=\"94.55804\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"295.745565\" xlink:href=\"#me6c63d6fcd\" y=\"82.927599\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"297.245449\" xlink:href=\"#me6c63d6fcd\" y=\"72.845567\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"298.745334\" xlink:href=\"#me6c63d6fcd\" y=\"64.945884\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"300.245219\" xlink:href=\"#me6c63d6fcd\" y=\"59.286715\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"301.745103\" xlink:href=\"#me6c63d6fcd\" y=\"55.815421\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"303.244988\" xlink:href=\"#me6c63d6fcd\" y=\"54.456726\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"304.744872\" xlink:href=\"#me6c63d6fcd\" y=\"54.786313\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"306.244757\" xlink:href=\"#me6c63d6fcd\" y=\"56.276813\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"307.744642\" xlink:href=\"#me6c63d6fcd\" y=\"59.154044\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"309.244526\" xlink:href=\"#me6c63d6fcd\" y=\"64.407347\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"310.744411\" xlink:href=\"#me6c63d6fcd\" y=\"72.492928\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"312.244295\" xlink:href=\"#me6c63d6fcd\" y=\"82.47684\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"313.74418\" xlink:href=\"#me6c63d6fcd\" y=\"92.910154\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"315.244064\" xlink:href=\"#me6c63d6fcd\" y=\"103.132515\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"316.743949\" xlink:href=\"#me6c63d6fcd\" y=\"113.231271\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"318.243834\" xlink:href=\"#me6c63d6fcd\" y=\"123.132394\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"319.743718\" xlink:href=\"#me6c63d6fcd\" y=\"132.357044\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"321.243603\" xlink:href=\"#me6c63d6fcd\" y=\"140.468291\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"322.743487\" xlink:href=\"#me6c63d6fcd\" y=\"147.162951\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"324.243372\" xlink:href=\"#me6c63d6fcd\" y=\"151.910324\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"325.743256\" xlink:href=\"#me6c63d6fcd\" y=\"154.042129\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"327.243141\" xlink:href=\"#me6c63d6fcd\" y=\"153.552385\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"328.743026\" xlink:href=\"#me6c63d6fcd\" y=\"151.478777\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"330.24291\" xlink:href=\"#me6c63d6fcd\" y=\"148.916947\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"331.742795\" xlink:href=\"#me6c63d6fcd\" y=\"145.752474\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"333.242679\" xlink:href=\"#me6c63d6fcd\" y=\"140.915734\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"334.742564\" xlink:href=\"#me6c63d6fcd\" y=\"133.790511\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"336.242449\" xlink:href=\"#me6c63d6fcd\" y=\"124.815762\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"337.742333\" xlink:href=\"#me6c63d6fcd\" y=\"114.838989\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"339.242218\" xlink:href=\"#me6c63d6fcd\" y=\"104.493611\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"340.742102\" xlink:href=\"#me6c63d6fcd\" y=\"94.252097\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"342.241987\" xlink:href=\"#me6c63d6fcd\" y=\"84.709452\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"343.741871\" xlink:href=\"#me6c63d6fcd\" y=\"76.617477\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"345.241756\" xlink:href=\"#me6c63d6fcd\" y=\"70.569727\"/>\r\n     <use style=\"fill:#ff0000;stroke:#ff0000;\" x=\"346.741641\" xlink:href=\"#me6c63d6fcd\" y=\"66.667872\"/>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_1\">\r\n    <g id=\"xtick_1\">\r\n     <g id=\"line2d_1\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL 0 3.5 \r\n\" id=\"m686f6e66a6\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"48.264609\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_1\">\r\n      <!-- −20 -->\r\n      <defs>\r\n       <path d=\"M 10.59375 35.5 \r\nL 73.1875 35.5 \r\nL 73.1875 27.203125 \r\nL 10.59375 27.203125 \r\nz\r\n\" id=\"DejaVuSans-8722\"/>\r\n       <path d=\"M 19.1875 8.296875 \r\nL 53.609375 8.296875 \r\nL 53.609375 0 \r\nL 7.328125 0 \r\nL 7.328125 8.296875 \r\nQ 12.9375 14.109375 22.625 23.890625 \r\nQ 32.328125 33.6875 34.8125 36.53125 \r\nQ 39.546875 41.84375 41.421875 45.53125 \r\nQ 43.3125 49.21875 43.3125 52.78125 \r\nQ 43.3125 58.59375 39.234375 62.25 \r\nQ 35.15625 65.921875 28.609375 65.921875 \r\nQ 23.96875 65.921875 18.8125 64.3125 \r\nQ 13.671875 62.703125 7.8125 59.421875 \r\nL 7.8125 69.390625 \r\nQ 13.765625 71.78125 18.9375 73 \r\nQ 24.125 74.21875 28.421875 74.21875 \r\nQ 39.75 74.21875 46.484375 68.546875 \r\nQ 53.21875 62.890625 53.21875 53.421875 \r\nQ 53.21875 48.921875 51.53125 44.890625 \r\nQ 49.859375 40.875 45.40625 35.40625 \r\nQ 44.1875 33.984375 37.640625 27.21875 \r\nQ 31.109375 20.453125 19.1875 8.296875 \r\nz\r\n\" id=\"DejaVuSans-50\"/>\r\n       <path d=\"M 31.78125 66.40625 \r\nQ 24.171875 66.40625 20.328125 58.90625 \r\nQ 16.5 51.421875 16.5 36.375 \r\nQ 16.5 21.390625 20.328125 13.890625 \r\nQ 24.171875 6.390625 31.78125 6.390625 \r\nQ 39.453125 6.390625 43.28125 13.890625 \r\nQ 47.125 21.390625 47.125 36.375 \r\nQ 47.125 51.421875 43.28125 58.90625 \r\nQ 39.453125 66.40625 31.78125 66.40625 \r\nz\r\nM 31.78125 74.21875 \r\nQ 44.046875 74.21875 50.515625 64.515625 \r\nQ 56.984375 54.828125 56.984375 36.375 \r\nQ 56.984375 17.96875 50.515625 8.265625 \r\nQ 44.046875 -1.421875 31.78125 -1.421875 \r\nQ 19.53125 -1.421875 13.0625 8.265625 \r\nQ 6.59375 17.96875 6.59375 36.375 \r\nQ 6.59375 54.828125 13.0625 64.515625 \r\nQ 19.53125 74.21875 31.78125 74.21875 \r\nz\r\n\" id=\"DejaVuSans-48\"/>\r\n      </defs>\r\n      <g transform=\"translate(37.712266 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_2\">\r\n     <g id=\"line2d_2\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"85.761724\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_2\">\r\n      <!-- −15 -->\r\n      <defs>\r\n       <path d=\"M 12.40625 8.296875 \r\nL 28.515625 8.296875 \r\nL 28.515625 63.921875 \r\nL 10.984375 60.40625 \r\nL 10.984375 69.390625 \r\nL 28.421875 72.90625 \r\nL 38.28125 72.90625 \r\nL 38.28125 8.296875 \r\nL 54.390625 8.296875 \r\nL 54.390625 0 \r\nL 12.40625 0 \r\nz\r\n\" id=\"DejaVuSans-49\"/>\r\n       <path d=\"M 10.796875 72.90625 \r\nL 49.515625 72.90625 \r\nL 49.515625 64.59375 \r\nL 19.828125 64.59375 \r\nL 19.828125 46.734375 \r\nQ 21.96875 47.46875 24.109375 47.828125 \r\nQ 26.265625 48.1875 28.421875 48.1875 \r\nQ 40.625 48.1875 47.75 41.5 \r\nQ 54.890625 34.8125 54.890625 23.390625 \r\nQ 54.890625 11.625 47.5625 5.09375 \r\nQ 40.234375 -1.421875 26.90625 -1.421875 \r\nQ 22.3125 -1.421875 17.546875 -0.640625 \r\nQ 12.796875 0.140625 7.71875 1.703125 \r\nL 7.71875 11.625 \r\nQ 12.109375 9.234375 16.796875 8.0625 \r\nQ 21.484375 6.890625 26.703125 6.890625 \r\nQ 35.15625 6.890625 40.078125 11.328125 \r\nQ 45.015625 15.765625 45.015625 23.390625 \r\nQ 45.015625 31 40.078125 35.4375 \r\nQ 35.15625 39.890625 26.703125 39.890625 \r\nQ 22.75 39.890625 18.8125 39.015625 \r\nQ 14.890625 38.140625 10.796875 36.28125 \r\nz\r\n\" id=\"DejaVuSans-53\"/>\r\n      </defs>\r\n      <g transform=\"translate(75.20938 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_3\">\r\n     <g id=\"line2d_3\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"123.258838\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_3\">\r\n      <!-- −10 -->\r\n      <g transform=\"translate(112.706495 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_4\">\r\n     <g id=\"line2d_4\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"160.755953\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_4\">\r\n      <!-- −5 -->\r\n      <g transform=\"translate(153.384859 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-8722\"/>\r\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_5\">\r\n     <g id=\"line2d_5\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"198.253067\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_5\">\r\n      <!-- 0 -->\r\n      <g transform=\"translate(195.071817 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_6\">\r\n     <g id=\"line2d_6\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.750182\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_6\">\r\n      <!-- 5 -->\r\n      <g transform=\"translate(232.568932 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_7\">\r\n     <g id=\"line2d_7\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"273.247296\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_7\">\r\n      <!-- 10 -->\r\n      <g transform=\"translate(266.884796 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_8\">\r\n     <g id=\"line2d_8\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"310.744411\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_8\">\r\n      <!-- 15 -->\r\n      <g transform=\"translate(304.381911 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"xtick_9\">\r\n     <g id=\"line2d_9\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"348.241525\" xlink:href=\"#m686f6e66a6\" y=\"227.343223\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_9\">\r\n      <!-- 20 -->\r\n      <g transform=\"translate(341.879025 241.94166)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"matplotlib.axis_2\">\r\n    <g id=\"ytick_1\">\r\n     <g id=\"line2d_10\">\r\n      <defs>\r\n       <path d=\"M 0 0 \r\nL -3.5 0 \r\n\" id=\"m4a60a48e6d\" style=\"stroke:#000000;stroke-width:0.8;\"/>\r\n      </defs>\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"213.77389\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_10\">\r\n      <!-- 0.0 -->\r\n      <defs>\r\n       <path d=\"M 10.6875 12.40625 \r\nL 21 12.40625 \r\nL 21 0 \r\nL 10.6875 0 \r\nz\r\n\" id=\"DejaVuSans-46\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 217.573109)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_2\">\r\n     <g id=\"line2d_11\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"188.427056\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_11\">\r\n      <!-- 0.5 -->\r\n      <g transform=\"translate(7.2 192.226275)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-48\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_3\">\r\n     <g id=\"line2d_12\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"163.080222\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_12\">\r\n      <!-- 1.0 -->\r\n      <g transform=\"translate(7.2 166.879441)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_4\">\r\n     <g id=\"line2d_13\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"137.733388\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_13\">\r\n      <!-- 1.5 -->\r\n      <g transform=\"translate(7.2 141.532607)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-49\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_5\">\r\n     <g id=\"line2d_14\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"112.386555\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_14\">\r\n      <!-- 2.0 -->\r\n      <g transform=\"translate(7.2 116.185773)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_6\">\r\n     <g id=\"line2d_15\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"87.039721\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_15\">\r\n      <!-- 2.5 -->\r\n      <g transform=\"translate(7.2 90.838939)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-50\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_7\">\r\n     <g id=\"line2d_16\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"61.692887\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_16\">\r\n      <!-- 3.0 -->\r\n      <defs>\r\n       <path d=\"M 40.578125 39.3125 \r\nQ 47.65625 37.796875 51.625 33 \r\nQ 55.609375 28.21875 55.609375 21.1875 \r\nQ 55.609375 10.40625 48.1875 4.484375 \r\nQ 40.765625 -1.421875 27.09375 -1.421875 \r\nQ 22.515625 -1.421875 17.65625 -0.515625 \r\nQ 12.796875 0.390625 7.625 2.203125 \r\nL 7.625 11.71875 \r\nQ 11.71875 9.328125 16.59375 8.109375 \r\nQ 21.484375 6.890625 26.8125 6.890625 \r\nQ 36.078125 6.890625 40.9375 10.546875 \r\nQ 45.796875 14.203125 45.796875 21.1875 \r\nQ 45.796875 27.640625 41.28125 31.265625 \r\nQ 36.765625 34.90625 28.71875 34.90625 \r\nL 20.21875 34.90625 \r\nL 20.21875 43.015625 \r\nL 29.109375 43.015625 \r\nQ 36.375 43.015625 40.234375 45.921875 \r\nQ 44.09375 48.828125 44.09375 54.296875 \r\nQ 44.09375 59.90625 40.109375 62.90625 \r\nQ 36.140625 65.921875 28.71875 65.921875 \r\nQ 24.65625 65.921875 20.015625 65.03125 \r\nQ 15.375 64.15625 9.8125 62.3125 \r\nL 9.8125 71.09375 \r\nQ 15.4375 72.65625 20.34375 73.4375 \r\nQ 25.25 74.21875 29.59375 74.21875 \r\nQ 40.828125 74.21875 47.359375 69.109375 \r\nQ 53.90625 64.015625 53.90625 55.328125 \r\nQ 53.90625 49.265625 50.4375 45.09375 \r\nQ 46.96875 40.921875 40.578125 39.3125 \r\nz\r\n\" id=\"DejaVuSans-51\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 65.492105)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_8\">\r\n     <g id=\"line2d_17\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"36.346053\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_17\">\r\n      <!-- 3.5 -->\r\n      <g transform=\"translate(7.2 40.145271)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-51\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n    <g id=\"ytick_9\">\r\n     <g id=\"line2d_18\">\r\n      <g>\r\n       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m4a60a48e6d\" y=\"10.999219\"/>\r\n      </g>\r\n     </g>\r\n     <g id=\"text_18\">\r\n      <!-- 4.0 -->\r\n      <defs>\r\n       <path d=\"M 37.796875 64.3125 \r\nL 12.890625 25.390625 \r\nL 37.796875 25.390625 \r\nz\r\nM 35.203125 72.90625 \r\nL 47.609375 72.90625 \r\nL 47.609375 25.390625 \r\nL 58.015625 25.390625 \r\nL 58.015625 17.1875 \r\nL 47.609375 17.1875 \r\nL 47.609375 0 \r\nL 37.796875 0 \r\nL 37.796875 17.1875 \r\nL 4.890625 17.1875 \r\nL 4.890625 26.703125 \r\nz\r\n\" id=\"DejaVuSans-52\"/>\r\n      </defs>\r\n      <g transform=\"translate(7.2 14.798437)scale(0.1 -0.1)\">\r\n       <use xlink:href=\"#DejaVuSans-52\"/>\r\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\r\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\r\n      </g>\r\n     </g>\r\n    </g>\r\n   </g>\r\n   <g id=\"patch_3\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 30.103125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_4\">\r\n    <path d=\"M 364.903125 227.343223 \r\nL 364.903125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_5\">\r\n    <path d=\"M 30.103125 227.343223 \r\nL 364.903125 227.343223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n   <g id=\"patch_6\">\r\n    <path d=\"M 30.103125 9.903223 \r\nL 364.903125 9.903223 \r\n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\r\n   </g>\r\n  </g>\r\n </g>\r\n <defs>\r\n  <clipPath id=\"p9053d64365\">\r\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.103125\" y=\"9.903223\"/>\r\n  </clipPath>\r\n </defs>\r\n</svg>\r\n",
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAD7CAYAAAB68m/qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO2de3xU1bn3f08uhIkaohgOySCXnvbggdpDFNTTADVUC0XEHGurNQX0FHlRqSgKBGk1chogYBU8eHkRb2Da0tdqTqBUvIBVc95aQfASlPNSEUgCgpdwMQnkst4/9uxhz5619uyZ2Zc1k/X9fOaTyZ49M2vWXvtZz3rWcyHGGBQKhUKR+mT43QCFQqFQOIMS6AqFQpEmKIGuUCgUaYIS6AqFQpEmKIGuUCgUaYIS6AqFQpEm2BboRJRJRDuIaCPntRwiWk9Ee4jobSIa7GQjFQqFQhGbeDT02QA+Erz2cwBfMca+CeAhANXJNkyhUCgU8ZFl5yQiGgDgSgBVAOZwTrkaQGXo+fMAVhERMYuopXPPPZcNHjw4rsYqFApFT2f79u2fM8YKeK/ZEugAVgCYB+AswetBAAcAgDHWSURHAfQF8LnxJCKaAWAGAAwcOBDbtm2z+fUKhUKhAAAi2id6LabJhYgmATjMGNtudRrnWJR2zhhbzRgbyRgbWVDAnWAUCoVCkSB2bOglACYT0acAfg9gHBE9ZzqnEcB5AEBEWQD6APjSwXYqFAqFIgYxBTpjbAFjbABjbDCA6wFsYYz9zHRaHYBpoefXhs5RWb8UCoXCQ+za0KMgokUAtjHG6gA8CWAdEe2Bpplf71D7FAqFQmGTuAQ6Y+x1AK+Hnt9rON4O4MdONkyhUCgU8aEiRRUKhSJNSNjkki7U7mjC8s270dzShqL8AOaOH4qy4qDfzVIoFIq46dECvXZHExa88AHaOroAAE0tbVjwwgcAoIS6QqFIOXq0QF++eXdYmOu0dXRh+ebdSqB7jFopKRTJ06MFenNLW1zHFe6gVkoKhTP06E3RovwA9zgDULJ0C2p3NHnboB6K1UpJoVDYp0cL9LnjhyKQncl9TdcSlVB3H7VSUiicoUcL9LLiIJZccwGCAk1daYneIFopiY4rFAo+PVqgA5pQr68Yx80uBigt0Qt4K6VAdibmjh/qU4sUitSkR2+KGinKD6CJI7yVlug++san8nLxBuVRlL4ogR5i7vihEZ4WgNISvaSsOKiEigcoj6L0psebXHSM9nQCEMwPYMk1F6hBrkgrlEdReqM0dANKS1SkO8qjKL1RAl2h6EGk616R2hfQUCYXhaIHkY4eRfq+QFNLGxh6dgyJEugKRQ8iHfeK1L7AaZTJRaHoYaTbXpHaFzhNTA2diHoT0d+I6D0iaiCi+znn3EhER4hoZ+gx3Z3mKhQKRSQq0vg0dkwuJwGMY4z9C4ARACYQ0aWc89YzxkaEHmscbaVCoVAISMd9gUSJaXJhjDEAJ0L/ZocezM1GKRSpjvK68A4VaXwaWzZ0IsoEsB3ANwE8whh7m3Paj4hoLID/AXAnY+wA53NmAJgBAAMHDky40Yr0JF2EoIrG9J502xdIFFteLoyxLsbYCAADAFxMRN82nbIBwGDG2HcAvArgWcHnrGaMjWSMjSwoKEim3Yo0I51cz5TXhcIv4nJbZIy1AHgdwATT8S8YYydD/z4B4CJHWqfoMaSTEFReFwq/sOPlUkBE+aHnAQCXA/jYdE6h4d/JAD5yspE9ndodTShZugVDKv6UtpWU0kkIKq8LhV/YsaEXAng2ZEfPAPAHxthGIloEYBtjrA7A7UQ0GUAngC8B3OhWg3saidhjU9EWnU4h6bzMnQDQeqoTtTuapL8WspOK49srSHNi8Z6RI0eybdu2+fLdqUTJ0i1cQRfMD6C+YlzUcfMEAGguXLJHA6Zqu0XU7mhCZV0DWto6Io6n8m/yGp7gBpBW4yQRiGg7Y2wk7zUV+i858ZoiUtUWnW4h6WXFQZyRE70AToVrIQOiTfL7NzSk5Pj2ChX6LznxmiJS2Radbq5nqXwt/EakmJiP6ag+1VAauuTEGwUnEvR9AtmOt01hjdocTZx4BXQGUVo6C8SLEuiSE68pYu74ocjOiC55/XVoQ07hHakaki6DV5Vo0ssPZEf1KQB0MZaycQtOojZF05DiRS/jq9aOqOOijVSFe6SaR4Ysm9NW7QCAu/7wHro4sqsnjHGrTVFlQ09DWjjCHFB2Rj9ItX0Bq011L3+HOT9Ln0A2iIA71+9EUX6AK8wBNcaVQE9D0smnW+EtMm3k6pMhLxaDwM8QWJQfSLlVkZMoG3oakqq2W4X/yLiRy1s18IR5IDsTpecXpE1OoERQAj0NSUmf7poaYPBgICND+1tT43eLeiQyKgNWqwN9+18f41s/PtKj/dSVyUWnpgaYPRv44gvt/759gZUrgfJyf9uVICllu62pAWbMAFpbtf/37QOmTAHq64FHH/W3bT0MGXOLm02Ikxu2Yt4ba1F07Ai6KQOZrBs0aBBwXhXubMnnfkZPsa0rLxdAEyg33QR0mDYTe/UCnnoqZYV6SlBTA0ybBnRxAkaIgHXrVP+7RKrYmo029Ps3P4opOzfxTQu5uaicNBvPDCmJeslr7xc3+9bKy0UJdEBb4u/bx39t0CDg00+9bE3PwayZ81D97wqyuCfapXZHE16/bwUe3PCApZ34ZJ98jPjF73z9Xby+JQDllw7Er8suSPrzVS6XWOzfL35t3z5lz3WLhQuthTlgfW0UCZNqOX/KioNYvO13MQVWr6MtuGLnq8gkzbrux/6RaBO35q/7Xd+cVQIdAGKVw5sxQ3qhLkN0X9zYEdaqVKEryOSeaJfcQ80xzyEA895Yiy7Gwpu5Xq84RH3IANcnTCXQa2qAEyesz2ltReOtd0orKFO1fFtr/yLr17NycPsF16J40cvS/5ZUQ0b3REtqajQPKBsEjx3B5Iatvq04rPrQ7QmzZwt03Yare7ZYUHTsc2kFZaotnwFtErr3khvQmpUTcZyFHo15BaiYMAt1w0vxVWsH5j7/nm/9npKrnxjMHT8U1+7+C9567CZ8Un0V3nrsJlzdsBWl50tY61e/T3kb5xwIwNKXVmFyw1ZfVhxzxw9FdDYlDbcnTDsl6HoT0d+I6D0iaiCi+znn5BDReiLaQ0RvE9FgNxrrOHZsuCGa884FIKegTMXl8/LNu3GqsxttWb3CQvzLwFm486q7MXvSXQCAFRsfxFuP3YTJDVvR0cV86fdUXf3EomzX61j85//EgGNHkAGGAceO4KGNv8E//3qBfL9NdJ8SaZ5oHHI7T2qujT6sOMqKgyi/dGCUUPfCn9+Ohn4SwDjG2L8AGAFgAhFdajrn5wC+Yox9E8BDAKqdbaZLCGy4Zr+f1qwcLBs7Nfy/bIIy5ZbPAEbWb8LSl1ahb/txEDStqnfHKRQf2IWlL62KEDR+aluxVj8pq70vXIheJ9sjDmUA+On2P2Hn0kf8aZMIq72Wp54SvlR07HPfAqJ+XXYBHrpuhOfBfTEDi5jm16gbmbNDD7PMuxpAZej58wBWERExv3wi7TJwINdd8WjgLHQx4Jz24wCA9uxILUA2QcmrYWnUBmTyN9bbsv6NtcjtPBnxWm7nSZS/9xKyWHfU8XlvrMX2koleNhWAePJuamnDiPtfxtenOtHRxcLHYtV7lYKaGqGbbgaA6S+tAbDY0yZZIrhPMXCgFqOwcCH39fbCIl+vgx/BfbZs6ESUSUQ7ARwG8Apj7G3TKUEABwCAMdYJ4CiAvpzPmUFE24ho25EjR5JruRNUVQG5uZHHcnNRN3QMAp2nwprjOW3Hw1qi32HQPMyh/jfurcf2J6ej7KLz0Fo0AG8tWimFycBovig69jn3nEyTMNfxS9uymrxb2jrCwlxHRpNcBLo92oLgsSNyeXVNnKiZV4zk5mr3L8C/j4mQWzbZm/ZJhC2BzhjrYoyNADAAwMVE9G3TKbw9gCjtnDG2mjE2kjE2sqBAgs2X8nJg9WoteIVI+7t6NX7w6Tau9jj/jbXSBl6UFQdRXzEOey9oQeXGlcg92AQwhtyDTVhWuxz3bz4dQu+X0DGaL/Q9CTOUGV28APBP2+LlNomFbCa5CGzsGxEgj6tuTQ3w7LOAcbFPpEUX6xHE5eXa/0ahz5j2Pgl+g5dmubi8XBhjLQBeBzDB9FIjgPMAgIiyAPQB8KUD7XOf8nLg009Ru/0ASmY+hSEf5KNfC3/1UHRc0yqltplybtgMAFN2bsLkhq3hY34IHeN3Lhs7NcrDBbm5miDhrJpyl/uzLWNc/dhFNpNcBHYDtVpbtbHkN7wJiDFg06bIY5s2RQp9QIrfULujCW8tWon1S67H36uvwvol1+OtRStdkxt2vFwKiCg/9DwA4HIAH5tOqwMwLfT8WgBbpLefGzB7Moi0x7b+RfJ7PAhu2AxoARc6fggd/Tv15Eq9O0+ikzK0pVxodYRHH+WumvzM56KvfuwIdRlNchHEEajFZIjSFbXBfNzueR6zc+kjWLTx4YhN/kUbH3Zt49mOhl4IYCsRvQ/gHWg29I1EtIiIdCPVkwD6EtEeAHMAVLjSWqcJpWydfOF5eOXhqWENVqQ9LhszVW5/7xjBF7rd2i+ho/s+n/ZiAbJYN9qzczD7gmtRcqBQmxxDqyZ0d2t/JUnOxTO/ZGcQzs7NTp00xRx7M3/XAvisjwRmUdEEZD5u9zyPmf7SGq75Vtt4dh47Xi7vAyjmHL/X8LwdwI+dbZrLGBJDZQBh9zgAqBteCkDTaAcc/1wbFFVVePYDiVNz2gi+aM47F0EfvVzKioP4wdu/jRrggY6TmPvGWoweXiq1l4iMqWXtctrTKR/TJs3GvDfXaqH0AwfiubOH49oPX4u4Lt0AXh48ElPFH+kNVVXRCdyMG6Lxnucxos1/0fFk6bnZFgUZFhvzCjD6lqfD/9+4tz48+A/1KcDi0VPCAl9HisK0VhkjdWTI8Z6REW3rBNANwjfmbwAgSX+mEcbsf6dziX+O9sIi5C6vRsmBQsxY/5uotLRt2TkIPP2k/yukmhrNFr5/f1i54rbJ7nleUVOD7qnTkNEdrWS1FgaR29yY0MeqItE8BLY148w5uWEr5r20Kqy59G85jOrNkVq8NDZTO7bCL7447bLm10AX+BQb9y2kWPFYIJNfvx1076LJDVux1DCecw82ATNmYMU91Sjauy3K/hroOKkJSL8Fenm5vTbYPc8LQitmnjDv7B1wbZO/R+Zyqd3RhEMC+6BRsMzjBL8EOk7inrfWyWcztWsr9Hvnn2PDNUfiFuUHpC1Jl4qpAPQJkjee0dqKUU88gKJjgrgQPzcVEx0DMowdkXtoZiay1jzh2sTT4wS6fkMuHj2Fu/G53ChYBHau/kePYO/SK1FfMc7TpPmW7pKc4AuRMc1374WA5i2i5W/JCyfhArQVz4quXdpKYt8+zTyzb580ftGpmAhN9y4S2m337wfJtqmo7wnFOwYSfZ/TiO6x7m5XVxE9TqDrN2Td8FJUTJiFxrwCdINwKL8fsHo1thnCy0Xui14P8phaoSD4orUX383ON+8FU3ZLApDHOnBObq+IFc+oJx6I1m78XlmESMVEaLp3juV45kVbAsCJE3inapX3sRc8DdfOGEj0fU7j0wTZ4wS68carG16K0bc8jW/M34B//V9a7VCja5ow+MXjnfOYWqEg+KI9Iyuq/a1ZOVgyeoqbzRXDaWdWexsq3/5t5IpHAp9i0YooFROh6cFRayZMF49nPWq6ryljxxdf4Nv3342L6jd5a2JKdAxIMHYACNOKuC07epxAj3VDGiMDNwwvxbJr5qC1MOhrkEtMrVAwWM9uPxGxCtFzjG/zIckVAHF2S/Nxn5f/Visini+6NBvjFpQVB1G5fjFyn3lSHLRVXg6ceWbUewMdJyOC0jwxMSU6BmQyHQUMsqZvX09kR48T6HZuyHBelKVXajfB8mptQOzfr2mZHtvjYmqFgsHaXliEV0ZcHl6FjL7labwy4nL/hI+gnc15BZEan0/ajY7VisicCI27MS7DppwIi6Ct2h1N6N4X2/sL8MDElOgY8HnsAOAXzmnzxiTX4wS6rRvSSE0NOqffHLHJ0jn9Zk9vUlGCqNZTnZogFAzi3OXV8f1Wt6mqQlt2tAmoesyUSI1PkDTNq5VRrBWRccKP2hjnbcpNmQLceqsXTU8YfVUisrObj7tuYkp0DPg8dgD4asfvmYFFcQQgtBYN0Px1zceTCAxIhNodTaisa0BLW0fE8Wt3/wWL3v4tcg82oTsjE9Tdhaa8AqyZMB0jKm6Tw6USCPd597596KYMZLJuNOUVYNnYqagbXgoCsHfplX63EoCWfK3JJNQnN2xFxZvrUHT0MJCZqUXkDhoUOXZqarSsf7xoXSJg3Tp5/KRN6L/Z7KsOaAFG88dHeiJJ464rI4LgORBpK6MksQos6nEaerxuTb0P8iuNi467RVlxEGfkRMaBTW7YikUbHw5POBndXWgL+XQ/M6Tk9OaV3yYAwypHz9+it1MXEjJtKs4dPxTZGaddQHUhV3T0sHZAF9hG7TtW6gXG/PXSCY0BlpGBQ2f/A2ZfdXfEZq+++jB7fzXmFeDD+x7A9pKJcqzyUgEf7fg9T0MXhcgPGqTZFE009umHAZygi8a8AgzQb3CPGFLxpwjf8rceu0nYNj19wY1761G5cWV0jgsPl6GiVY7eThk1vuJFL+OrVm019O7DP8U5bceT/1CHNLS4MeQt0mnNykHFhFl4ZcTlWHLNBVi+eXfEqsSYIiBjkPdh9MZo3D6BbBABLa0dKRGZy+tvJ+85paEbEXhadO/bz3XF4rl6tWblYM2E6eH/vUpgb9Zig4LoPuMG1vSX1nDteY233umZT7FoNVN07HNpNb6WkDCf3LAVZzshzAH/gnQ4Nl29rJ++2Wvcp9FXJHrKV6+Dc8w5xDc++DOMeefl+Nwm/VyV+mjH73kCXehpcS53oIyouA33Tro9Ygl676TbMaLiNgDehoLrN93khq3YvvKnwvOMG1hW2d688im22mjzMto2HvTJc94ba7nluOLGz8x/MfIWNbe0RTgLiFIEeGUy4uUQ10tAAjbcJmWIFvUpBXSPEOhGDbrykhvQ2TtS09VzifAGSllxEKPvnY3rFvwe/zh/A65b8HuMvnd2RCpVr0LBy4qD2Pjx77Bi42/Qt/04V9B0A+G8KIHsTLQXFnE/SxeyXvgU21nlCBFoWm6vivTJ05E0p5mZpwWiHy6MFkoMEBmDUV8xTksZzcOj4BxRDnGjL7yl26RPXia1O5pQed09aOzTD92UgdaiAZ5f77TPtmhMHQoAzwwpwYkJnbhjyzMoOvY5mvPOjdic4w2UcPXumhpg4W3APae9Y5pbPMyRXlODf/zjupinbRheGs57nnt+Ndd+akyG5bZP8ZXfKUL7hl4IhG7SrwJnYfH4mRgdWuUIMdsiQ5rWO59+hQXt3wxfU32lATiXR13/nMOrCtC/JcG9kjPO0DREU/sBeOvtwskVro8BblCUICOmVyYjOznE9UmIm/nSh2hR3Uy0aOPDEdksO6ffrAlZWTR0IjqPiLYS0UdE1EBEsznnXEZER4loZ+hxL++z/ICnQT8/9Hv43q3PhINtjPnNhd4WgmXctL313NNd8dpYuJDvDmUgY9CgSP9ogz3PGC1q6zdbYFtDrqnBqMXzcU6btqIgAIHOU7hu5MDYwlegaZ33wH94sioq2/U6+mdyvFayszVhbUVuLtC7txx5RQxjgJGWt2jBhFnYXjKRv3/hU3COPqZi+cLrk5DI3Nnan78qdXNCWr55N+7Y8kzUyiKrvc3T623H5NIJ4C7G2D8DuBTAbUQ0jHPem4yxEaHHIkdbmQQi7bOLsfhCuAXCZd6ba70LBY+lYYhuupA9r+7dA7ji9rURwjyRtsa1b8Dpt0DHSS0BVywEv1dUxNvRlQYv2g/QQriffho4cQJ47rlw7hMGoItIq0nbpx8WTPgFur8Q1En3I9tlaAxQdzf6f/UZVm54QLx/4cOmnnFM8XIotWXnYPnYqRGb6CJz57IxUz2fkJpb2iyzWXpFTIHOGDvIGHs39Pw4gI8AyLeLJUCkfeoDw3YUpeCi5B5q9iYaM0a9UDu5IuKOkhVgZ99A17ZEoeS2BrlAozqcz88W2SeQHfsz7SLKZ33mmZG5Tz7/HLXvNmLYL/+Mf5y3AUPmb8R3Zz6F331rjDTZOhOhdthlKJn5FGZfOQeHjraBTZniqreIcUyZfeExaBACTz8ZNQmJJvBnh5R4PiEV5QekuN5x2dCJaDC0+qJvc17+VyJ6D0AzgLsZYw2c988AMAMABnr0I+eOHxphQ5/csBXz31yHomNHQI8PRFlVFVBh40Jb2BXDNna3sApaIQJmzgQefdTWRznR1lih8cZ9i+a8c7m+8q39i8BJ1hqJoE7kgbt/heyvCR3dkeanr0OpEBy5FnHYYXkTHKBtTpujLmWocxkL/fpdsfNVLDG238U9APOYqhteGjOCuCg/EBXRqx9H+ZXhNobt7BV/cs2Pfe74oVjx9o0RNnRAq06U5eH1tu3lQkRnAvgjgDsYY8dML78LYBBj7F8A/CeAWt5nMMZWM8ZGMsZGFhR4k5PbqJVe3bAV1ZtXIXj0MChedyY/k/4ItMVOykDljytQe7O3NtlYycKMAo63fG7NytGWxbEQLP1HLZyFM3tH6yIdXcw5O3oc0X6iCY6nafqRrTNe9OvnpftiImmJ7STa88qtWPeGW3bNnPD1bi0MulqdiIctgU5E2dCEeQ1j7AXz64yxY4yxE6HnmwBkE5Fg/eE9ujvWyg+e1+okGrE7QP1M+iPQFjMYiwzxj4VDwRaxbiRzznleCt9nh5TY+zKBP68e+GPGMTt6HBO4ldDRc+6PWfKqp/7IEcR53fU+9NImnEhaYjsmRK/diivXL8aAo4eRwbq1XE8eX++YJhciIgBPAviIMfag4Jz+AD5jjDEiuhjaRPEF71xfSdadSb84emIvfSJw+6LFKKxsTO0qROACCCDu9ht98HmFkvWlsDF8vDnvXNwxaU54QzaYpBeQ5XLbCczX2iKJm9msZ8bXfOkJXHe9b0XmMjdswrHGlNX7rM4ZWb8J6w1jUHdRlrnCVDLEzOVCRKMBvAngA2hxKwBwD4CBAMAYe5yIZgG4BZpHTBuAOYyx/7b6XF9yucSZxyUKl3M0xPO9ei4Oo8dK0OomSPa3x0HtjiZsufehKPuxOX9IMnZMc3wB4G8WQGlzjyRw3Y02dO4eQAqYjQAANTVou+nnEatyfQxuL5mI+opxPjYucaxyuYAx5svjoosuYp7z3HOM5eYypnlza4/cXO24HQYNinyv/hg0yM1Wazz3HGODBrEuEDuQV8B+MekuNmj+xqjH+b/8M3vx3cbo9xPx207kSnOb+vTjfl9jXgG/fVaEfjsj0v6GrteL7zay7y55jQ2ev5F9d8lr8X9uAt+ZciR43fW+vX3SXexgfj/W7VU/ONnvgvu1sU8/Z8eKjkdjBsA2JpCrPUugM5Zcp3ssFHm8+G4jO/+Xf+YKc/3x3SWvRb8xxmTktHDsFvRVd7x9lewknAhOf6efk4MTSohX7Xe6350ag3bwcJxaCfSelz43GTw0W1ihL+95NmQAfFcvC3NR7bDLnDdfONVXNj6HG/6djIkjwbZz27HrdX/MdDrJmgm9NDM6fX95eb96+F0qfS7gjIeHX66LpraX7Xod9RXjcHYuP5CGuzFo4aXjiieAQ30VVUBaJ3TcFbe0BDbPhWHoc+f7G/6frHeWl4munM7BUlUVlYivs3fAnfvVh/wxPHqGQHcqnaYfrouCtr9TtQon2jujTs/OJLFHhcAFMFagUEI40Fe1O5rQnCeIVwh5WrgyGSVQcUbUDmFlKy9v9GRSuXopqByu9FM77DKuy2ztsMsSb6MIH6sUGekZAt1JLSN0c9RuP4CSmU9hyAf57haKsEhQZY6UBIAzemXFbW5IJKjDFknmhF6+eTeqx0zh5vXQtSxXJqMEVhfCdkgQDp4UXgoqh1fAyzfvxvNDv4fRtzwdTsT3/NDvOe6DXrujCZWX3BA1Tv2ICu4ZAt1hLcNcUWX9kuvx1qKV7gj1OBNUHTUVkbZDIkEdMXHAxNXc0mYKTNKiY3t3nAznFndlMkpgdSH6vjUTpvsXYewEHCHbmpWDyktucH68O7wCdmWyN6Gb2p4ZUhKxGmgtDPri3tkzBLrDWgavosqijQ9j59JHkmikgDgTVCUiyJxK2hXGIROX/lvqhpdi2dipaM/KQRbr1gp7hD5zRdcud7Jdxrm6EE2KIypu89RMF1HM5bp7tCILyewbhYRsa2EwwmwRV4RyvN/nUKUf11aeBsxJxfTVwBW3r/XFV79neLk4vFPvaeFoQdvfuacaUw1FHgCbnik1NbaiH5PCoR1/Y/CQqCA2Bg1C7Yv1znq5JIjj3jYJfL/eX3pdUKeCgkqWbuF6VQXzA9IG6HgRfGYu3K5jlVQsWay8XHqGQAccFWTdlKEVzzUfByGDuVDVXdD2uAWIVy5oGRn8QhwJVL3Xf+ObCy7n9jmAmEU/egpGoWs1ASbiRicSXADwqUuCywlqdzRh59JHMP2lNSg69jnaC4uQu7zasfEumuiAGJHbSdAjBbqb2lJr0QDkHoxearYWBrWEPLLila+sG98j+kwiYN0615e3fmvfdjAK3U+qr+JPgAlMqoBYcBGAh64bIV1fhHFZidH300QlLd1IR9Hj/NDNPsEX1W/CqNILwTK0wq2V192TVHHh3OXVXP/W3OXVDv0Cl/DKBc0Ff/13br4bXDHEGDBtmnOFFzibuW74urtR5NpoG3bau2bu+KG4umEr3nrsJnxSfRXeeuwmTG7YCga4XmQ8EfT+bbz1Tlf96Mt2vY6lL62K2E9b+tIqTG7YCsCbIuxG0lKgGzcqdFuingM992AT5r3wIK5q2Jr4jVleruU5Nmx0eZ33OCG8ckFzwV//jsxh2mYoj66uxOIKzAg2c3cufYTrY15Z1xCfUA5NFiwjA6NKL8RF9ZsczdFt3JgV5aFP1DulbNfrWCIQXI55jUUMLPcAACAASURBVDiU3tk4AbueAnjhQq1uqIHczpOY98ba8P9eZnZMS4Fu7EBekn5jh8czg0ZoVQcK8c7Nd2vCcP9+tM6dn7Tm7zpeRro66K1Qu6MJTS1taBIFGQHOaF0Cn//pL63hnt7S1mFfazdMFsQYgkcPO67JGb2VNgwvxbJr5uCrgkJnvFMWLhTeR454jTgV/IdIhc71OADBxGCcSFwpGC8gLQW6sQNFM7TxuJ0ZlGfG+fb9d4cHoCOav9t4EenqkJalo/c7wNc6I0hW67Jxc1phKZQ5k4UbmpxezGXv0itRuX4xJs15LhxUo9t1E1FiRLVhi4597kyudweD/4z9yB0zTioxgolBn0i8zoWflgLduPQUzdDG43ZmUHNo97w31kZVP0pU8/eK2h1NKDlQiCHXP4KSxa+i9sV654W5Q1qWDq94cCcJhu055yT8PQCEN2d7YVGUj7kIoVD2QZPTVzY84lViRPdRe2GRqzVchbl8LDD2o+tlADmr3rbsHCwfO9W9gvEWpKVANy49l4tqWo7ValranUHNN4BTmr8lDmq7ntRWdCGRE6948Jwr78RJ4gjY48eTWxEITFK5y6ujAq/iSYxWu6MJh/rwzUVuaXLvVK3CqNILIzYwY7XTTKzasHrfOIJQ0y2Ie4yag7zqhpfiitvXou7dA86XAeSsegNPP4mVGx5AfcU4z71/0lKgA4Y6ohsewAJOgh59+Wl3BjXfAE5p/kIc1nbNK4zJDVvxysNTMfnC8xwxjQBwxYuG14d1w0vRFjgj+uRTp5Kzo1uYpIymjPqKcbjvquG2IlT1iXTx6OicNLpicXZutrOaXE0Nvn3/3QgePcz1vEhEifFC023Lju6f6jFT4l7piiKfATjuWQTA0f2iZLFTgu48AGsB9IdWgm41Y2yl6RwCsBLARACtAG5kjL1r9bleBhY5EeVmjjqb3LAV1ZtXcctb1Q0vlSefeAijjzIvirAtOwcV42dhW8nEhH2s3fDPF0X77aqaCHIoeClR7PimG8eeucaq7q/seLSlYOw05hVg9C1PY4VNv3Gvo0NnX3U35nL6x4moS9lKFiaDlR96zCLR0OqE3sUYe5eIzgKwnYheYYztMpzzQwDfCj0uAfBY6K+/hCIs39q/H815BageMyXC4T+eJa65iO32kon48NLBGPXEA5qXS/8iLBszFRuGlDgTIeawtmssqszz/Al0nMTcN9Zi9PDS8CZkvO1fNmYq5r3wYFQd0WVjpqIyoVaLiwfTOn7hbC+zGMYqUAxEa7nGGrC8c5yA7d/PdfEsOvY5gvkB29eVV/zazU2+bSUTMZrTP07sLSzfvBtX7Hw1akJdfkavlBPoVsQU6IyxgwAOhp4fJ6KPAAQBGAX61QDWhsoj/ZWI8omoMPRefzBEiBGA4NHDqN68CgQkrIVG38DjgIWzAAC5ACpDD0cY6KzAMt6csez/+oZuvP3z7JASfDnhVNRNs2FISVL9whWcVVX8CEDJshgaJ1Krc5zksz4F6N8SnVOoOe/cpJQYtyNk3ZxARtZvwhLDqlQ3Qy0AACSx2vAiN1I8iGrT8R4ABgPYDyDPdHwjgNGG/18DMJLz/hkAtgHYNnDgQMdr7UXgZ0FnJ3ChRqFeN/RAXgG3bw7kFYTrkg6evzHuz7/vJwvYgbyCqELW3BqnTuBCrUuna6uaa8D+YtJdEX10V9lcxwsW3z7pLvZ1Vk7Etf06K4f9YtJdjn6PG7hV+PtgPr9o+cH8fol/qB/1bpl1TdF4hPmZALYDuIbz2p84Av0iq89zvUi0lwWd3Sqi6+bnmgaifsNbFprmYKwO35odLUTcEFjc3+NAP/EKcJ//yz87ItRFfdTRO+C4APjukteiJo5fTLrLvYk1BXCsaLkRn5TGpAU6gGwAmwHMEbz+vwH81PD/bgCFVp/plkCPpYU63tk+zdJJ89xzjPXty7oB1g2wLwJnhQW6XSFmFICi/v66MOj+73Co/11fYXgkANyamBhj7igZbikuRtzoey+VRgNJCXRoCdXWAlhhcc6VAP4cOvdSAH+L9bluCHTjQP4FZ9npiqBNVdOOQEu/7ycLbN/4313yWlhgdMGfwe1Y/z/3nNBMkYj5iYuHAsAV04UbyotXCpEb35OKGjqA0QAYgPcB7Aw9JgKYCWAmOy30HwHwdwAf8Ozn5ocbAt0oYMz2Stdmfp9m6aRxYDAONvS1ZysiMw71/9eFQe7nHMgrSC0N3U1t1432eykUHTTNiUxoftvQ7Xi5vBUS2FbnMAC3xfost+FFFTrlxyrEYW8Uz3DALVL34JjcsBWBU+1gMA0UL7xOHOr/3gebuccdy1UCuO+ZY879rQejAc54XriRftmrlM6A1gdJ9oPRn71peCkYgPlvrkPRsSMgCbxc0ipS1IsaglF4mcHQSRxIpTt3/FBcu/svWPrSKvRtPx4W5gwA+vb1pkiuQ/1vFfnrmJue28nRXEi9EIEb6Ze9SunsEOaI67rhpSiZ+RRGL37V9yhRIM0EuivV62PhRQZDN3BAEJYVB7Ho7d9GBSkRAJx5pjd94FD/r5kwnRuav2bCdCdb626YuNvarkOTZ0Qh60tuiCoWI7NCJAoC8zLnuRVpJdAdr15vF4lyOdjGKAgBIDPztDYXR16X3EN8U4UrS2YRSfZ/7Y4m1A67LCJXSWNeAe6ddDtGVLhkSaypQWvRAHRTBhr79EPldfckn1vEbW3XgcnTnCTumSElqJgwC62FQW8UoiQT3vliBYgHkXHd7YfrfuheuEK5iVftT3b3v29f7qbWwfx+7vufOwDPxW/Q/I1sxP2b3Wv/c89p/ucmj5qkffZTwIXW7LgQb9xDUjjQP/p4Mfv5r79jiYsNjwQWm6JppaGHcSEvt63vdKqwg5ftT8buWlMDHDsWdfhUZhYWj54iZ5EPE2abqE5uryz3VnaCsmV3bHkmqRz6tcMuQ+Wk2eFVRmthUDrzn68mCwf2GMqKg7j/xM6oOqJXPVKJd6pWOdzg+ElPgS64cK1z57vzfU4LYLc3t4wkY3dduBDo6Ig6fDw7oKW49bLIR4ITqi8CxqLYRaLfq5synhlSgtG3PI1vzN+Ai36+BrXDLkuioc5jNk1MDhWe/nv1Vc6lcRbh0B7D2Gce4ia3K1q2yHcFJj0FuuAC9T7Y7E6HOy2AvXTlSsbuKmjP2e0nws890bySmFB9sYlalC1L9Ht5Kw0Zq2YZHRf0NM66puv6StqhPYZ+LUe4xwuPfe77qjQ9BbrFDePKAHdaAHvpypWM50KMeoqAR5tFSUyouuvlW4/dFK7uc+3uv7jrGVVVFeXZ0ZqVgxXjbkz4e5tD8QDG3zG5Yas03hc6RscFXhpn11aigGNeOofzxdWnfJ9ERcZ1tx+ubop6EcZtxKFoN98i0EJ5XcLf1bevve+KkeTLsfwhBrgh7clEi3I2KN1ImMX73q8Lg+FNtXhSLvC47ycLuGP+vp8scLDRzvHiu43+pItwwNngb7/+T24iOn3cuyJjDKDHbYqWl2PZNXO4Zedc0RgdmPmN7lz/NbwU88fPQlOffmBe+ba3GTS5L76IvfTV80C3tmouj9AqEy27Zg42hKrwOO0yKqqL2tq/iP8GOysazgZlVnube1qiTnk5cpsbkcG6MeDoYVSuX5xUX817M1rbze08iXlvrk22pXyScALQr6MomMvNoKLaYZehZOZTGDJvA0bctBrFfy+IuyTdqIWz8OF9D6BJUNbSTxfGmCXo3MLtEnSel5xKMtG91+W+IhCULGstDOKK29dGFzcwh5gD2gTm8qQj6qMb99ajcuPKxNqTkaHpWGa8KGUX55ixLHnn5e+I4/rz2rx88+5wyghzKUQ3xxFPJhiJVz74VdbOqgRd2gp0wF7NR1kw1vw04moeGh2BMOgG4RvzN4T/Dw/WfytxtN6pXSz76IKWxCZUh2u32ibOSTGm8PDyd9j8LlGbzcXKjRWuBjz6kGtKgRv1Xf2QMcnWFE1Z7NR8lAVRqTJPlm+CBFfmJXG4NJ2XXjgGLPuo/MrEBIFfpeysNnI5v8PKi6WsOOjt77B5/UVtziTClR9uiRCod0yag+0lE1Ff7t5qtNkgzJdyytEBwAZOTdMoDCursoEDUVZVBVTI4eufnjZ0STDmrIhlo9PduYyeCvWP/ztWdO0Svsep9s2+4Fq0ZUfnMVk2dmrUe5pb2nxLqORKrh6/cvHEOSnG9Jf38nfYvP6iNl/54RZUb44MzKnevMrVsQ6cVo543jW5nSe1CSaWAuVH0GIcKIHuNKHNIpaRgVGlF+Ki+k0RG3gioV5WHMTa3nsiBnrw6GGMWjzflcHC3YQVbPIYKcoP+JZh0rVcPX7k4olzUrTlL+/V77B5/UVtvuetdQh0RAfmjHriAUebaUZXCKyKpBuVA65C5mXQXwKknw3dzyrcHLtoa1ZOhHC0tNF5aAcVbTBaEWGzla3auU5NDVrnzkfvg81ozjsXayZMDyfYkmo/xWkbutfYuP6iNu+qmqg5LJroBqHu3QOu/p7aHU24dNyF6N9yOOq11sIgcpsbE2q7J5vo4a8S29BjauhE9BQRHSaiDwWvX0ZER4loZ+hxb7INThi/l0Oc2VtfyulYBnp4aJsWtYMXnAKYtGGJhXnn9JuRe7ApvJSf98KD+EvlCsx9/r0od0dfw7TjNJFYrk6czCMUT/tjrAZEbSaLgDS3r0tZcRD9Vz0YtcLo7B3AsjFTw9r4/RsauPb/z/rwg4pkyd8eU0MnorEATgBYyxj7Nuf1ywDczRibFM8Xu6Kh++WxoGPDW0RmDZ3nRtaalYNl18xB5frF2gGfXBZtIei/xrwCjL7l6ajj+YFs7PzmETknJ7vIfD1ExFjJ5geysfO+H7jfhtB1b+1fhHsvuQHPD/1ezLdd3bAVK7c85mt/J6WhM8beAPCl461yA5+8L8LECIWPuYHnoW2at8E4X7RZZAxOkdmGaJH0isfYbS+jc/rN0m5w2dpUl/l6iAitTniBfwDQ0tbh/urJsMK44va1toQ5AGwrmSh1QRunNkX/lYjeI6I/E9Fw0UlENIOIthHRtiNH+AluksLvclYcgdyWnYPlY6fa28Dz2OMiJ+v05T87NxtFx/mCL6KIhd+TphU2cssYmffG2qgoUVmEoSgqtnZHU4Sg794n8fUQEdKOzT7gRtzOh1K7owmV192Dxj798OaCyyPMiyKubtiKjQ/+DJgyRTuwbp10BW2c8EN/F8AgxtgJIpoIoBbAt3gnMsZWA1gNaCYXB747Er98inX0C2tYwgeqqrAyxgWPDE4oxNwX6wGENvE+aEPR0i2ObuLxNnzaO7rR1r8IuQc5mpFRUMpcFLuqCp3Tb44Q0q1ZOfjNZdO4p4s0d8+FIWdPYvmBQq4Nt7KuASc7u8OvNeediwHHOMqRDNeDh8HckoFIH3CjUHczqVjtjia8tWglFm18mOuLrrcjkJ2B9o5uMGjmyCVGc6TTBbgdImkNnTF2jDF2IvR8E4BsIhIkaXAZjzVc7pI4TtcxoyZ2VcNWrF9yPSZfeB5GXVZs2+UxXkQBH8vGTI1t8pG5KHZ5ObLWPIGTffLBoBWrPtUrBzdcPAhn52ZHne5HLpEoBBv5I+s3cU9vaeuIuHbLxk6NqoXqxfWIJ8YiAhuOA4C7AXXLN+/GHVueEfqiA5p5tHd2Zjgy2fPMkAmStEAnov5ERKHnF4c+84tkPzdhPPLFtVoSx4MuXM25oYMhjUFfBjqZllOk/Tw7pCT2hMiZNN+5pxolBwrjv7ldIqfjFAhaSoD81mMYtXg+Vmf+T9SewYpxN/pfoFhgA5//5jrbH9GW1et0SoS+fV236SY19m3sc7hd2L25pc3SF103j7a0dkQc5yKZacuO2+LvAPxfAEOJqJGIfk5EM4loZuiUawF8SETvAXgYwPXML+d2D3GqoIAuXK2i13Ti9RsXYRmkYmdCNJxT+2I9prZ/Ux6XQIGAHPXEAxEudDfurceit3+rmWdC2SJ92eASCIT+R48gO5MijgWyMyNWGroS0Lf9OMJntrmf/9yohOgurq88PBVv//o/Y79ZsPo5nF/gWWH3ovyAcHWWMWgg6ivGoaw4GHGfSLGas4EdL5efMsYKGWPZjLEBjLEnGWOPM8YeD72+ijE2nDH2L4yxSxlj/+1+s/3HMhQ7Dr9gfdBYaQw6BDgiKBMOoef8Lukq5Yg0pn37ULbrddRXjMPeC1pQuXHl6f2Crq7TmrnX9lCLjdwzemVF+XDfd9Xw8LUTmQFcK7Wot82QKdEYvv+ruhWx62oKTHb9Vz2IvUuvDAtTN5k7fihWjLsxylTV2TsQsToz3ievfWMUosKGZDE1GlCh/wki0nKn7a2PK7hJHzQiDcB4nMGZ3f+YIfS8CSlOW69vlXKsNKaf/UwzE/3sZ/K4+lVVRQkWPY/O0bYObQIyCDr92t24tx5B3mYoXCy1GKJIUG0ot/MkznvgP8Rv5OTQ92NVVFYcxOh7Z0fUTGgtDCJrzRMR7TD29Y8/fC1SWBIB06ZJtSEKpGPov0eIQoO3Pzmd7ynCSS2qe7b0CWTjh+9vwa/qVkQF9ZhzqrieTlcUqBIIaIUvTBzK74dL/9dTUcc9yeNuQO/PkfWbsHTzqqhcIbbwMHzbSOV192D6S2vsp3K99Vbg8cf5+c+hBVJdt+D3rvV/7Y4mTL7wPK0OqIluEDIYpw9lDoCKFfnsd8CiiZ6TPtfDkHRdmzXnB8mtaua/wWAKME8GY7e9jFlvrkOg86SmuXR14VB+PywePSXKP9f1dLqiQBXzsRD/cPRIVI5rtze1zBj7s2l4KRiAlRt/A4r5zkgO9SnAX3c0eZ4bZUTFbbjin8bG7sOaGmD2bO7EqqNr926ukMqKg2juU4Cio9H5UA7nF6A/701xpgv2DPNEY3ZHrKnhC3NAug1RIJ0EeqwL4wLcfOs2/LSNdueocPuuLrRl52Dx6ClRuZk9EZRxDlIaOBBLrrnA18RXZjt+3fBSzHtjLd8/WwADsHj0FLzywgcA4Er7RcUQRMpBRBt4Gi7nN+gruqDLE3/T3F/h7PvvjlgJtWXn4MDdv+ILdFkD0mJF2uoyhIdkG6JAOtnQZQmB5lR0N2+2GLUnni0y0KF5tzAgrGV6sfsPQDxI+/YV+p+XFQejbL1ewtNGl42dGr2JZcGXvc9C3fBS1zZ0Y7n6le16HfWP/zv2LtPy4Jftej3yA3jj20RTXgHqhpd6MvHrdTUP5fdDNwiH8vvhw/sewKiFs/hv8DuKW4TVRGPV5xJuiALpJNAl0QBqh12GigmzovJU/PKM74QDMTLotDEglncLw2l7tCeCkueFAADt7ZqNWccDf2e78MxQdcNL8eIlkyPbLKA1Kwf3X35aE3PDXGHpDWQnS6ho2R+iG9ok5tnED02o9//qM2SwbvT/6jOxMAfkDUgTTSjnnGPd55KMfTPpY3KRJCR9+ebdaBr6vahkP/TX/eEtpC7DZpYodNvo3eKpx4g+SM222q+/jjzPA39nu8wdP5S7QZ352KPArp9omta+fQARdCeAbiJkMIamvIKoXCJu7FNYurk+HsO+XFOjTUyCTdBuAOtGTMSG4aXY6+FGdNwEAqd/Z9++wMqV/gvFqirgppuAjo7I4y0t4vcMGuR/uwWkj0D3O49LCOONKypEq5NJhOVjp0Z5ZZjLv3lSV9RIebkmTCw236TY0AphtEE3tbQhkyis/W47/zvYOvOpsG269VQnvmrtEH6WW+YKq3qobP9+/gauvrpcuJArzBmArwJnofL7MzyxmycMz/4vi0JQXs7faO7q4p9P5P+qwoL0Mbn4VRvShC58eYEXxlB+AOhmDCuvL0Yg70wA2g36ZSAvwlXRa4+RMHZMVX5vaBkoKw6Gffr1FVBTSxue++v+CLv1ifbOqAhML/YpRMFcpecXoDkvRtEEQT8zABfe/jvP7OYJI8v+logv48gOzpgUSoyI9BHogD+1IU3oN66dUP5wEFJIOyAAeawD5+T28iwMWogNU1XjWedKkbtFh2enNtPRzaIiMB+6bgQ+dXlDVxTMtfXjI6geMyUquKgtOweoqkLtjiYcElTJOZzfz/9xYgdJ9reExGGWbcwrkGrMm0kfk4sk6DdV0a+tNzsD2Zla4QiT5pLV3obKt397ukKQX1RVaRGVAnSzkO6tAbjj6hcPdvcajrZ1uF8RhwPPzfXO9TvRFFqNmc1zb+wpQOkfVmBMe1uExxOA0+Hy5S4GmdklVvyHJPtbQnjmWg4yjnkzKa+hJ5zG00XKioPIGCTO0aFrVBGFI4zIoLmUl2sbVxw6KSPCLORr7hYDdvcaPN+TsEBvS93wUoy+5WncMWkOAGDFxgfx2tJrUf2nFRHJtxiAltw8ebws7HjoyOrhoqObazMzhafIOubNpLRA1317L6rfhDcfuwlvLrgco0ovjJ0gyAsEg3jAow+dXtrL6purs3Jl1G9ozcrBnCvvjIpg9S13iwGendpMdiZJZWs2ttm879K3/Th6dXVGnE8ATmTloHbYZd43lkcs+7gk+VtiUl4OPPsskB2dN/9UZpa0Y95MSptclm/ejSt2vhoRaRk8ehjn3H83MPhsfwcMz/0vYNAMa2qAEyei3yeb5gIACxeie99+YbkwQA6t1+ztwuOMXllSLZONbeZmT+RQdOxzaZb8Ig8dtn8/yOzd4mdWSzvw7tm+fbH4+zNQN6Qk6nQZxryZlE7ONaTiT3jzsZv4Id4+Jc6JQJSQaNo0TRswazay+OZy4CUj0wlkZ0q3KTek4k+c1FEeJDdLgm7K4Ca8MtOYV4DRtzzteQI0HofO/gf0b4nO6XIovx/69wlIldTKLuYUDaXnF+CP25ui4hz8GvNWyblS2uRSlB+Qu5KIaDm6ejV/A+bMM6UU5jrGotIZIbVMVg8LyyIektJeWBTznFOZWeEYBRmW/EtGR3votGblYMnoKfJ7t3DgpWj44/Ym/OiioDjdtETYqVj0FBEdJqIPBa8TET1MRHuI6H0iutD5ZvKZO34oDgpcuqSwQ4sGrihoQdKBrg/ylrbTATk5WZlYcd0IX3K32CHhIh4+kru8Gl1Z0TZcI8ezA2GTlwyT07aSidxUF9tKJgrvwUN9CqRwXuAhStGw9eMjvuYrsosdG/ozAFYBWCt4/YcAvhV6XALgsdBf1ykrDuLvV0xA9/NrI2cmWezQInctq/MlxCoPiawD21YGQ9koL0dmjPS4Z7dr+y6yTE5zxw/Fgq9PReyrBLIzsWT8UGD/xKi87a1ZOa5ntYwXo4lFZPCSYTVkh5gCnTH2BhENtjjlagBrQ3VE/0pE+URUyBg76FAbxdTU4B83PR95TKZKIjb9WwEAvXrJMQlxsMxDIjHc9MayEyNqUXd7lWVy0tuwc+kj4SId7YVFyP1isrZPZBDm3QD+z7e/rwl/SRQCq70hIzKshuzghA09COCA4f/G0DF3qanRBLdZWDIGbOKXRfOCCL/4A4V4555qS//WMGedJcckxCEV7dEpi9Uqzez2Kgllu15H5caVYXfL3INNmmZuujczAHz/k3fC/8ugENiJLpZlNWQHJwQ612uJeyLRDCLaRkTbjhyxX3wgCt17RDJbNG9DZWr7N8HslDWLJ5+Ex6SiPTplEaUvlihdcRS8zX+B95zRiaFPwHq/wAusJhXZN0B5OOGH3gjgPMP/AwBwQyAZY6sBrAY0t8WEvzFWsn+fbNEiW/NnfQq4rl0RSGo/1+2LbR1dyCRCF2NSLfnTDoPvvxelFB0hDgXKmBb661OdqPWh5J8RURZMnkuoqOKUTDihodcBmBrydrkUwFG37efMagD5uCEqmu2XjJ5iWWihLTsHsy+4VprUBTrGFQeg5XHXNXPZBnK8yJgyIowESebiwqYyYk4L3dHFfA+ft7v6jFVxShbsuC3+DsD/BTCUiBqJ6OdENJOIZoZO2QTgEwB7ADwB4FbXWhviM4GrYidl+LosFdmUt5VMBGbOjBLqerrc+eNn4b+Gl0o3SCyr7KQwqXJzpgwiM5EBcy4UHb/t6KIsmGaFJVXuBTteLj+N8ToDcJtjLbLBktFTsMRYWBna7L9gwiys9FGbEVXOmTt+KFD8KFBSErGUvv+SG/CMKaRYJnfAVPVuiUUqumGKkMIMoN9z06YJ97UyGJM6ZUSsPkuVeyElI0Utgxl8JOZsb1pKP8vJDwHIM0jS1bslVW7OWEi10igv18a1AKPtXCeVNtZT5V5IyeRclsEMPhOP77NVWTIZsFxxpDCy97tdpFtpCALp9ALWgFZ2sZsxaTcVRaTKvZCSAj0lowBhP+mPLIMkVfs5Fqlyc8ZCppVG7Y4m7LzkBsxrejDCFKoXsNaVr27GpE2OZkWq3AspnW0xleBFpAWyM/Gji4LY+vERqQdJOiKF7TlJSpZuse1y5ybGsR2rMLoMGSJTHatsiympoacisZL+KLwlJdMCmJBlpWEc23XDS8MCnBAZYZiKq6BUQwl0j5BpeaxID2QxA4jGMANUMJrHKIHuEemyEaeQCxlWGqKxDaRXMFoqkJJui6mIyoeiSFdi1XKVMQAnXVEaukfIsjxWKJzGTi1XZVr0BqWhe0hZcRD1FePw0HUjAAB3rt8pXx4RhSIB9LEdTJEAnHQlrQS61AmXQkgV3adQOIwyLfpLWphcanc0obKuIaLmpS4oATnKXOlIF92nUDiIMi36S8oLdKsSUjIKSuW+qEh3ZPC8SZRUDzhLeZNLrBJSsgnKVEnyo1D0NNLBHJryAj2WwJZNUCobo0IhJ6mS89yKlBfoVgJbRkFpN6G+QqHwlnQwh6a8DZ2XzwIAzs7Nxn1XDZdSUKayjVGhSFfSIZrbloZORBOIaDcR7SGiCs7rNxLRESLaGXpMd76pfHga74rrRmDHvT9QQlOhUNgmHcyhMTV0IsoE8AiAKwA0AniHiOoYGbDk9AAACEhJREFUY7tMp65njM1yoY0xkVnjTfVdc4Wip5AOLpd2TC4XA9jDGPsEAIjo9wCuBmAW6AoTZpdKWX3jFQqFhszKoR3smFyCAA4Y/m8MHTPzIyJ6n4ieJ6LzeB9ERDOIaBsRbTty5EgCzU0t0mHXXKGIh1SI1k5n7Ah04hwzlznaAGAwY+w7AF4F8CzvgxhjqxljIxljIwsKCuJraQqSDrvmCoVd0sGPO9WxI9AbARg17gEAmo0nMMa+YIzphQSfAHCRM81LbVI1iEhpWYpEUCtS/7Ej0N8B8C0iGkJEvQBcD6DOeAIRFRr+nQzgI+eamLqk4q650rIUiaJWpP4TU6AzxjoBzAKwGZqg/gNjrIGIFhHR5NBptxNRAxG9B+B2ADe61eBUIhWDiJSWpUiUVF2RphO2AosYY5sAbDIdu9fwfAGABc42LT1ItV1zpWUpEkWWotU9mZQP/Vc4i9KyFImSiivSdCPlQ/8VzqK0LEUypNqKNN1QAl0RQTpEyykUPRUl0BVRKC1LoUhNlA1doVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNsCXQiWgCEe0moj1EVMF5PYeI1odef5uIBjvdUIVCoVBYE1OgE1EmgEcA/BDAMAA/JaJhptN+DuArxtg3ATwEoNrphioUCoXCGjsa+sUA9jDGPmGMnQLwewBXm865GsCzoefPA/g+EZFzzVQoFApFLOzkQw8COGD4vxHAJaJzGGOdRHQUQF8AnxtPIqIZAGYAwMCBAxNsskKR3tTuaFIFRhQJYUdD52naLIFzwBhbzRgbyRgbWVBQYKd9CkWPonZHExa88AGaWtrAADS1tGHBCx+gdkeT301TpAB2BHojgPMM/w8A0Cw6h4iyAPQB8KUTDVQoehLLN++OqOcKAG0dXVi+ebdPLVKkEnYE+jsAvkVEQ4ioF4DrAdSZzqkDMC30/FoAWxhjURq6QqGwprmlLa7jCoWRmAKdMdYJYBaAzQA+AvAHxlgDES0iosmh054E0JeI9gCYAyDKtVGhUMSmKD8Q13GFwoitItGMsU0ANpmO3Wt43g7gx842TaHoecwdPxQLXvggwuwSyM7E3PFDfWyVIlWwJdAVCoU36N4systFkQhKoCsUklFWHFQCXJEQKpeLQqFQpAlKoCsUCkWaoAS6QqFQpAlKoCsUCkWaoAS6QqFQpAlKoCsUCkWaQH5F6BPREQD7HPioc2HK6igJMrZLxjYBcrZLxjYBcrZLxjYBcrbLiTYNYoxxsxv6JtCdgoi2McZG+t0OMzK2S8Y2AXK2S8Y2AXK2S8Y2AXK2y+02KZOLQqFQpAlKoCsUCkWakA4CfbXfDRAgY7tkbBMgZ7tkbBMgZ7tkbBMgZ7tcbVPK29AVCoVCoZEOGrpCoVAooAS6QqFQpA0pK9CJaDkRfUxE7xPRi0SUb3htARHtIaLdRDTewzb9mIgaiKibiEYajg8mojYi2hl6PO5Vm6zaFXrNl77itLGSiJoMfTTRx7ZMCPXHHiKSovoWEX1KRB+E+mabj+14iogOE9GHhmPnENErRPT/Qn/PlqRdvo4pIjqPiLYS0Ueh+2926Lh7/cUYS8kHgB8AyAo9rwZQHXo+DMB7AHIADAHwdwCZHrXpnwEMBfA6gJGG44MBfOhjX4na5VtfcdpYCeBuCcZVZqgfvgGgV6h/hknQrk8BnCtBO8YCuNA4ngEsA1ARel6h34sStMvXMQWgEMCFoednAfif0D3nWn+lrIbOGHuZafVOAeCvAAaEnl8N4PeMsZOMsb0A9gC42KM2fcQYk648u0W7fOsribkYwB7G2CeMsVMAfg+tnxQAGGNvAPjSdPhqAM+Gnj8LoMzTRkHYLl9hjB1kjL0ben4cWk3mIFzsr5QV6Cb+HcCfQ8+DAA4YXmsMHfObIUS0g4j+QkRj/G5MCNn6albIhPaUH8v2ELL1iQ4D8DIRbSeiGX43xsQ/MMYOApoQA9DP5/YYkWFMgYgGAygG8DZc7C+pS9AR0asA+nNeWsgY+6/QOQsBdAKo0d/GOd8x30w7beJwEMBAxtgXRHQRgFoiGs4YO+Zzu1ztq6gvs2gjgMcA/Efo+/8DwG+gTdRe42mfxEEJY6yZiPoBeIWIPg5ppQoxUowpIjoTwB8B3MEYO0bEG2LOILVAZ4xdbvU6EU0DMAnA91nIIAVNozrPcNoAAM1etUnwnpMAToaebyeivwP4JwCObW4l0i643Fdm7LaRiJ4AsNGtdsTA0z6xC2OsOfT3MBG9CM00JItA/4yIChljB4moEMBhvxsEAIyxz/Tnfo0pIsqGJsxrGGMvhA671l8pa3IhogkA5gOYzBhrNbxUB+B6IsohoiEAvgXgb360UYeICogoM/T8G6E2feJnm0JI01ehga3zbwA+FJ3rMu8A+BYRDSGiXgCuh9ZPvkFEZxDRWfpzaA4BfvUPjzoA00LPpwEQrQg9xe8xRZoq/iSAjxhjDxpecq+//NoBdmAHeQ80W+fO0ONxw2sLoXkq7AbwQw/b9G/QNLyTAD4DsDl0/EcAGqB5TLwL4CqP+4rbLj/7itPGdQA+APB+aMAX+tiWidA8Ev4OzWTlSzsM7flGaOy8FxpHvrUJwO+gmRA7QmPq5wD6AngNwP8L/T1Hknb5OqYAjIZm7nnfIKcmutlfKvRfoVAo0oSUNbkoFAqFIhIl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0gQl0BUKhSJNUAJdoVAo0oT/D5eB/D+DxuiiAAAAAElFTkSuQmCC\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "window = 0.8\n",
    "kernel = gauss_kernel\n",
    "distance_metric = euclidean_distance\n",
    "smoothing = nadaraya_watson_kernel_smoothing\n",
    "\n",
    "y_hat = np.array( [ smoothing(x_i, x, y, kernel, window, distance_metric) for x_i in x ] ).reshape((-1, ))\n",
    "\n",
    "plt.scatter(x, y)\n",
    "plt.scatter(x, y_hat, c='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}