C3/L10_bayesian_information_criteria.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "L6_density_estimation.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3",
      "language": "python"
    },
    "language_info": {
      "name": "python",
      "version": "3.8.5"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "eDRfJeA9i540",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "eb115cb0-2826-4f8c-a203-4bc491b7726a"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt \n",
        "import pandas as pd \n",
        "import seaborn as sns\n",
        "import arviz as az\n",
        "from statsmodels.tsa import stattools\n",
        "import statsmodels.api as sm\n",
        "import pymc3 as pm\n",
        "import pymc\n",
        "\n",
        "import sys\n",
        "sys.path.insert(0, '..')\n",
        "from utils.plot_lib import set_default\n",
        "\n",
        "set_default(figsize=(6, 4))"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WBG3Vsj2S3xV"
      },
      "source": [
        "### Bayesian Information Criteria (BIC)\n",
        "\n",
        "The galaxies dataset. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "V7VdfuBLShRW",
        "outputId": "df4dcdf3-0ad0-4702-a075-2ae02a5d4e04"
      },
      "source": [
        "!wget http://www.key2stats.com/Velocities_for_82_Galaxies_1152_58.csv -O galaxy.csv --no-check-certificate"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "--2021-05-24 11:56:45--  http://www.key2stats.com/Velocities_for_82_Galaxies_1152_58.csv\n",
            "Resolving www.key2stats.com (www.key2stats.com)... 52.207.128.24\n",
            "Connecting to www.key2stats.com (www.key2stats.com)|52.207.128.24|:80... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 1221 (1,2K) [application/csv]\n",
            "Saving to: ‘galaxy.csv’\n",
            "\n",
            "galaxy.csv          100%[===================>]   1,19K  --.-KB/s    in 0,004s  \n",
            "\n",
            "2021-05-24 11:56:46 (321 KB/s) - ‘galaxy.csv’ saved [1221/1221]\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 223
        },
        "id": "j76qLqfXTOgJ",
        "outputId": "4ddc701b-df98-4eb3-b8ca-da13f60812e1"
      },
      "source": [
        "# Read dataset - galaxies\n",
        "galaxy = pd.read_csv('galaxy.csv')\n",
        "galaxy.pop('Unnamed: 0')\n",
        "galaxy.pop('X')\n",
        "# Checking dataframe\n",
        "print(\"The shape of the dataset is: {}\".format(galaxy.shape))\n",
        "galaxy.head()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The shape of the dataset is: (82, 1)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    dat\n",
              "0  9172\n",
              "1  9350\n",
              "2  9483\n",
              "3  9558\n",
              "4  9775"
            ],
            "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>dat</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>9172</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>9350</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>9483</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>9558</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>9775</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "P_alHv5ljLpp"
      },
      "source": [
        "This data set is contained in the package mass which comes to standard with R and contains the velocities of 82 galaxies that come from six well-separated conic sections of the Corona borealis region of the sky. When we fitted this model before, both in the case of using EM algorithms\n",
        "and in the case of using MCMC algorithms, we selected the number of components K to be exactly equal to six. That selection came from the fact that well, we knew that the data was collected from\n",
        "six well separated conic sections so it made sense in that context to use that number of components.\n",
        "Now, what we want to do today in this example is to use the BIC the Bayesian information criteria to\n",
        "verify that that choice is actually supported by the data that we have at hand. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 381
        },
        "id": "1EF48VnKjPkY",
        "outputId": "eeea79d3-b421-4c7d-bd33-b42bcd7fa994"
      },
      "source": [
        "from scipy.stats import norm\n",
        "\n",
        "## Clear the environment and load required libraries\n",
        "np.random.seed(1)\n",
        "\n",
        "### Loading data and setting up global variables\n",
        "x          = galaxy['dat'].to_numpy() # Data\n",
        "n          = len(x)\n",
        "KKmax      = 20       # Components used to compute BIC. From 2 to 20\n",
        "BIC        = np.zeros(KKmax)\n",
        "\n",
        "sns.histplot(x, stat= 'density', bins = 6)\n",
        "plt.title('Approximate density of the data')\n",
        "plt.show()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"261.959875pt\" version=\"1.1\" viewBox=\"0 0 419.095381 261.959875\" width=\"419.095381pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 261.959875 \nL 419.095381 261.959875 \nL 419.095381 0 \nL 0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 67.666875 241.58175 \nL 402.466875 241.58175 \nL 402.466875 24.14175 \nL 67.666875 24.14175 \nz\n\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 82.885057 241.58175 \nL 133.61233 241.58175 \nL 133.61233 203.434382 \nL 82.885057 203.434382 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 133.61233 241.58175 \nL 184.339602 241.58175 \nL 184.339602 230.682502 \nL 133.61233 230.682502 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 184.339602 241.58175 \nL 235.066875 241.58175 \nL 235.066875 34.496036 \nL 184.339602 34.496036 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 235.066875 241.58175 \nL 285.794148 241.58175 \nL 285.794148 78.093028 \nL 235.066875 78.093028 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 285.794148 241.58175 \nL 336.52142 241.58175 \nL 336.52142 230.682502 \nL 285.794148 230.682502 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p21542c3fbe)\" d=\"M 336.52142 241.58175 \nL 387.248693 241.58175 \nL 387.248693 225.232878 \nL 336.52142 225.232878 \nz\n\" style=\"fill:#0000ff;fill-opacity:0.75;stroke:#eeeeee;stroke-linejoin:miter;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 92.92262 241.58175 \nL 92.92262 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m40fa5a23e9\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"92.92262\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 10000 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(77.01637 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 153.535922 241.58175 \nL 153.535922 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"153.535922\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 15000 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(137.629672 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 214.149224 241.58175 \nL 214.149224 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"214.149224\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 20000 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(198.242974 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 274.762527 241.58175 \nL 274.762527 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"274.762527\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 25000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(258.856277 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 335.375829 241.58175 \nL 335.375829 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"335.375829\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 30000 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(319.469579 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 395.989131 241.58175 \nL 395.989131 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"395.989131\" xlink:href=\"#m40fa5a23e9\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 35000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(380.082881 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 241.58175 \nL 402.466875 241.58175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m357a0b6011\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 0.00000 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 245.380969)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 204.183269 \nL 402.466875 204.183269 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"204.183269\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.00002 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 207.982488)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 166.784788 \nL 402.466875 166.784788 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"166.784788\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.00004 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 170.584007)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 129.386307 \nL 402.466875 129.386307 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"129.386307\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.00006 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 133.185526)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 91.987826 \nL 402.466875 91.987826 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"91.987826\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.00008 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 95.787044)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p21542c3fbe)\" d=\"M 67.666875 54.589345 \nL 402.466875 54.589345 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.666875\" xlink:href=\"#m357a0b6011\" y=\"54.589345\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.00010 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 58.388563)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_13\">\n     <!-- Density -->\n     <defs>\n      <path d=\"M 19.671875 64.796875 \nL 19.671875 8.109375 \nL 31.59375 8.109375 \nQ 46.6875 8.109375 53.6875 14.9375 \nQ 60.6875 21.78125 60.6875 36.53125 \nQ 60.6875 51.171875 53.6875 57.984375 \nQ 46.6875 64.796875 31.59375 64.796875 \nz\nM 9.8125 72.90625 \nL 30.078125 72.90625 \nQ 51.265625 72.90625 61.171875 64.09375 \nQ 71.09375 55.28125 71.09375 36.53125 \nQ 71.09375 17.671875 61.125 8.828125 \nQ 51.171875 0 30.078125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-68\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(16.318125 155.672062)rotate(-90)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-68\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"138.525391\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"201.904297\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"254.003906\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"281.787109\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"320.996094\" xlink:href=\"#DejaVuSans-121\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"patch_9\">\n    <path d=\"M 67.666875 241.58175 \nL 67.666875 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path d=\"M 402.466875 241.58175 \nL 402.466875 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path d=\"M 67.666875 241.58175 \nL 402.466875 241.58175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path d=\"M 67.666875 24.14175 \nL 402.466875 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- Approximate density of the data -->\n    <defs>\n     <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n     <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n    </defs>\n    <g style=\"fill:#ffffff;\" transform=\"translate(118.555125 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"68.408203\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"131.884766\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"195.361328\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"234.224609\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"292.28125\" xlink:href=\"#DejaVuSans-120\"/>\n     <use x=\"351.460938\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"379.244141\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"476.65625\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"537.935547\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"577.144531\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"638.667969\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"670.455078\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"733.931641\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"795.455078\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"858.833984\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"910.933594\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"938.716797\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"977.925781\" xlink:href=\"#DejaVuSans-121\"/>\n     <use x=\"1037.105469\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1068.892578\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1130.074219\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"1165.279297\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1197.066406\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1236.275391\" xlink:href=\"#DejaVuSans-104\"/>\n     <use x=\"1299.654297\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1361.177734\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1392.964844\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"1456.441406\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1517.720703\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1556.929688\" xlink:href=\"#DejaVuSans-97\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p21542c3fbe\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"67.666875\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zE6mgAt8VwfV",
        "outputId": "a25b5ff2-bfc3-4070-bd91-832ca9d77181"
      },
      "source": [
        "# Initializing constants\n",
        "w_sum = []\n",
        "mu_sum = []\n",
        "sigma_sum = []"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FqZi45dOUNKC"
      },
      "source": [
        "### MLE EM algorithm"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "eH5GGs5RAl4o",
        "outputId": "bab4817a-27f8-4f80-87fa-297b909ebb6d"
      },
      "source": [
        "from scipy.stats import lognorm\n",
        "\n",
        "\n",
        "for KK in range(2, KKmax + 1):\n",
        "  print('Computing EM with {} components'.format(KK))\n",
        "\n",
        "  ## Initialize the parameters\n",
        "  w     = np.ones(KK) / KK # Assign equal weight to each component to start with\n",
        "  mu    = norm.rvs(loc = np.mean(x), scale = np.std(x), size = KK, random_state = 1) # Random cluster centers randomly spread over the support of the data\n",
        "  sigma = np.std(x) / KK                  # Initial standard deviation \n",
        "\n",
        "  s  = 0     # Counter of the current iteration\n",
        "  sw = False # Decide when the algorithm will end\n",
        "  KL = np.NINF  # Value of Q to monitor convergence\n",
        "  KL_out = []\n",
        "  epsilon = 10e-6  # Stopping criteria\n",
        "\n",
        "  ## Checking convergence of the algorithm\n",
        "  while(not sw):\n",
        "    ## Expectation (E) step\n",
        "    v = np.zeros((n, KK))\n",
        "    for k in range(KK):\n",
        "      v[:, k] = np.log(w[k]) + norm.logpdf(loc = mu[k], scale = sigma, x = x)\n",
        "    for i in range(n):\n",
        "      v[i, :] = np.exp(v[i, :] - max(v[i, : ])) / np.sum(np.exp(v[i, :] - max(v[i, :])))  # Go from logs to actual weights in a numerically stable manner\n",
        "    \n",
        "    ## Maximization (M) step\n",
        "    # Weights\n",
        "    w = np.mean(v, axis = 0)\n",
        "    # Mus\n",
        "    mu = np.zeros(KK)\n",
        "    for k in range(KK):\n",
        "      for i in range(n):\n",
        "        # Update Mu\n",
        "        mu[k] = mu[k] + (v[i,k] * x[i])\n",
        "      mu[k] = mu[k] / np.sum(v[:, k])\n",
        "\n",
        "    # Standard deviations\n",
        "    sigma = 0\n",
        "    for i in range(n):\n",
        "      for k in range(KK):\n",
        "        sigma = sigma + (v[i,k] * ((x[i] - mu[k])**2))\n",
        "    sigma = np.sqrt(sigma / np.sum(v))\n",
        "\n",
        "    ##Check convergence\n",
        "    KLn = 0 # Value of Q function at current iteration\n",
        "    for i in range(n):\n",
        "      for k in range(k):\n",
        "        KLn = KLn + v[i, k]*(np.log(w[k]) + norm.logpdf(loc = mu[k], scale =sigma, x = x[i]))\n",
        "    \n",
        "    # If relative error is less than epsilon stop\n",
        "    if(np.abs(KLn - KL) / np.abs(KLn) < epsilon):\n",
        "      sw = True\n",
        "\n",
        "    KL = KLn\n",
        "    KL_out.append(KL)\n",
        "    s = s + 1\n",
        "\n",
        "  w_sum.append(w)\n",
        "  mu_sum.append(mu)\n",
        "  sigma_sum.append(sigma)\n",
        "  \n",
        "  # Computing BIC\n",
        "  for i in range(n):\n",
        "    BIC[KK - 1] = BIC[KK - 1] - 2 * np.log(np.sum(w * norm.pdf(loc = mu, scale = sigma, x = x[i])))\n",
        "  BIC[KK - 1] = BIC[KK - 1] + ((KK - 1) + 1 + KK) * np.log(n)  ### KK-1 independent weights, one variance, and KK means\n",
        "\n",
        "## Plot the BIC with different components\n",
        "fig, ax = plt.subplots(1, 1)\n",
        "ax.plot(np.arange(2, KKmax + 1), BIC[1:], 'r-', lw=1, alpha=0.6, label='BIC') # BIC plot\n",
        "ax.legend(loc='best', frameon=False)\n",
        "# plot density estimate of the posterior\n",
        "plt.title('BIC plot over components')\n",
        "plt.xlabel('BIC')\n",
        "plt.ylabel('Components K')\n",
        "plt.xticks(np.arange(2, KKmax + 1))\n",
        "plt.show()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Computing EM with 2 components\n",
            "Computing EM with 3 components\n",
            "Computing EM with 4 components\n",
            "Computing EM with 5 components\n",
            "Computing EM with 6 components\n",
            "Computing EM with 7 components\n",
            "Computing EM with 8 components\n",
            "Computing EM with 9 components\n",
            "Computing EM with 10 components\n",
            "Computing EM with 11 components\n",
            "Computing EM with 12 components\n",
            "Computing EM with 13 components\n",
            "Computing EM with 14 components\n",
            "Computing EM with 15 components\n",
            "Computing EM with 16 components\n",
            "Computing EM with 17 components\n",
            "Computing EM with 18 components\n",
            "Computing EM with 19 components\n",
            "Computing EM with 20 components\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"277.573625pt\" version=\"1.1\" viewBox=\"0 0 393.76375 277.573625\" width=\"393.76375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 277.573625 \nL 393.76375 277.573625 \nL 393.76375 0 \nL 0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 51.76375 241.58175 \nL 386.56375 241.58175 \nL 386.56375 24.14175 \nL 51.76375 24.14175 \nz\n\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 66.981932 241.58175 \nL 66.981932 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m4f311f820b\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"66.981932\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(63.800682 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 83.891023 241.58175 \nL 83.891023 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"83.891023\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(80.709773 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 100.800114 241.58175 \nL 100.800114 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"100.800114\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(97.618864 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 117.709205 241.58175 \nL 117.709205 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"117.709205\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(114.527955 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 134.618295 241.58175 \nL 134.618295 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"134.618295\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(131.437045 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 151.527386 241.58175 \nL 151.527386 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"151.527386\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 7 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(148.346136 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 168.436477 241.58175 \nL 168.436477 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"168.436477\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(165.255227 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 185.345568 241.58175 \nL 185.345568 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"185.345568\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 9 -->\n      <defs>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(182.164318 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 202.254659 241.58175 \nL 202.254659 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"202.254659\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 10 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(195.892159 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 219.16375 241.58175 \nL 219.16375 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"219.16375\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 11 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(212.80125 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_11\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 236.072841 241.58175 \nL 236.072841 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"236.072841\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 12 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(229.710341 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_12\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 252.981932 241.58175 \nL 252.981932 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"252.981932\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 13 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(246.619432 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 269.891023 241.58175 \nL 269.891023 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"269.891023\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 14 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(263.528523 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 286.800114 241.58175 \nL 286.800114 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"286.800114\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 15 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(280.437614 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 303.709205 241.58175 \nL 303.709205 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"303.709205\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 16 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(297.346705 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_16\">\n     <g id=\"line2d_31\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 320.618295 241.58175 \nL 320.618295 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"320.618295\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 17 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(314.255795 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_17\">\n     <g id=\"line2d_33\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 337.527386 241.58175 \nL 337.527386 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"337.527386\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 18 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(331.164886 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_18\">\n     <g id=\"line2d_35\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 354.436477 241.58175 \nL 354.436477 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"354.436477\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_18\">\n      <!-- 19 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(348.073977 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_19\">\n     <g id=\"line2d_37\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 371.345568 241.58175 \nL 371.345568 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"371.345568\" xlink:href=\"#m4f311f820b\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_19\">\n      <!-- 20 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(364.983068 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_20\">\n     <!-- BIC -->\n     <defs>\n      <path d=\"M 19.671875 34.8125 \nL 19.671875 8.109375 \nL 35.5 8.109375 \nQ 43.453125 8.109375 47.28125 11.40625 \nQ 51.125 14.703125 51.125 21.484375 \nQ 51.125 28.328125 47.28125 31.5625 \nQ 43.453125 34.8125 35.5 34.8125 \nz\nM 19.671875 64.796875 \nL 19.671875 42.828125 \nL 34.28125 42.828125 \nQ 41.5 42.828125 45.03125 45.53125 \nQ 48.578125 48.25 48.578125 53.8125 \nQ 48.578125 59.328125 45.03125 62.0625 \nQ 41.5 64.796875 34.28125 64.796875 \nz\nM 9.8125 72.90625 \nL 35.015625 72.90625 \nQ 46.296875 72.90625 52.390625 68.21875 \nQ 58.5 63.53125 58.5 54.890625 \nQ 58.5 48.1875 55.375 44.234375 \nQ 52.25 40.28125 46.1875 39.3125 \nQ 53.46875 37.75 57.5 32.78125 \nQ 61.53125 27.828125 61.53125 20.40625 \nQ 61.53125 10.640625 54.890625 5.3125 \nQ 48.25 0 35.984375 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-66\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-73\"/>\n      <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(209.0875 267.878)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-66\"/>\n      <use x=\"68.603516\" xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"98.095703\" xlink:href=\"#DejaVuSans-67\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_39\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 238.021426 \nL 386.56375 238.021426 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_40\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"ma4f2dcfc4b\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"238.021426\"/>\n      </g>\n     </g>\n     <g id=\"text_21\">\n      <!-- 1580 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 241.820645)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_41\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 202.599483 \nL 386.56375 202.599483 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"202.599483\"/>\n      </g>\n     </g>\n     <g id=\"text_22\">\n      <!-- 1600 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 206.398702)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_43\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 167.177539 \nL 386.56375 167.177539 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"167.177539\"/>\n      </g>\n     </g>\n     <g id=\"text_23\">\n      <!-- 1620 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 170.976758)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_45\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 131.755596 \nL 386.56375 131.755596 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_46\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"131.755596\"/>\n      </g>\n     </g>\n     <g id=\"text_24\">\n      <!-- 1640 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 135.554815)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_47\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 96.333653 \nL 386.56375 96.333653 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_48\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"96.333653\"/>\n      </g>\n     </g>\n     <g id=\"text_25\">\n      <!-- 1660 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 100.132872)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_49\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 60.911709 \nL 386.56375 60.911709 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_50\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"60.911709\"/>\n      </g>\n     </g>\n     <g id=\"text_26\">\n      <!-- 1680 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 64.710928)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_51\">\n      <path clip-path=\"url(#p3c16026c73)\" d=\"M 51.76375 25.489766 \nL 386.56375 25.489766 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_52\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#ma4f2dcfc4b\" y=\"25.489766\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- 1700 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 29.288985)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_28\">\n     <!-- Components K -->\n     <defs>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 42.09375 \nL 52.390625 72.90625 \nL 65.09375 72.90625 \nL 28.90625 38.921875 \nL 67.671875 0 \nL 54.6875 0 \nL 19.671875 35.109375 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-75\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(16.318125 176.663625)rotate(-90)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-67\"/>\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"131.005859\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"228.417969\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"291.894531\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"353.076172\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"416.455078\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"477.978516\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"541.357422\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"580.566406\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"632.666016\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"664.453125\" xlink:href=\"#DejaVuSans-75\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_53\">\n    <path clip-path=\"url(#p3c16026c73)\" d=\"M 66.981932 147.386369 \nL 83.891023 167.147535 \nL 100.800114 231.698114 \nL 117.709205 227.129326 \nL 134.618295 211.519935 \nL 151.527386 222.787055 \nL 168.436477 207.17601 \nL 185.345568 202.738507 \nL 202.254659 186.265338 \nL 219.16375 171.54214 \nL 236.072841 155.412503 \nL 252.981932 140.404645 \nL 269.891023 124.795601 \nL 286.800114 110.849777 \nL 303.709205 95.230473 \nL 320.618295 80.291488 \nL 337.527386 64.682055 \nL 354.436477 48.497555 \nL 371.345568 34.025386 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.6;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 51.76375 241.58175 \nL 51.76375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 386.56375 241.58175 \nL 386.56375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 51.76375 241.58175 \nL 386.56375 241.58175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 51.76375 24.14175 \nL 386.56375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_29\">\n    <!-- BIC plot over components -->\n    <defs>\n     <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n    </defs>\n    <g style=\"fill:#ffffff;\" transform=\"translate(125.8675 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-66\"/>\n     <use x=\"68.603516\" xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"98.095703\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"167.919922\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"199.707031\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"263.183594\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"290.966797\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"352.148438\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"391.357422\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"423.144531\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"484.326172\" xlink:href=\"#DejaVuSans-118\"/>\n     <use x=\"543.505859\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"605.029297\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"646.142578\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"677.929688\" xlink:href=\"#DejaVuSans-99\"/>\n     <use x=\"732.910156\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"794.091797\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"891.503906\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"954.980469\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1016.162109\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1079.541016\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1141.064453\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1204.443359\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1243.652344\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_54\">\n     <path d=\"M 60.76375 37.240187 \nL 80.76375 37.240187 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.6;\"/>\n    </g>\n    <g id=\"line2d_55\"/>\n    <g id=\"text_30\">\n     <!-- BIC -->\n     <g style=\"fill:#ffffff;\" transform=\"translate(88.76375 40.740187)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-66\"/>\n      <use x=\"68.603516\" xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"98.095703\" xlink:href=\"#DejaVuSans-67\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p3c16026c73\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"51.76375\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "source": [
        "It is possible to see that for small values of K, so for values around two, three, the BIC is relatively large. Then, as you start adding components to the mixture, BIC decreases. We can see that actually the optimal, so the minimum value of the BIC does coincide with K equal to seven which is great, that means that this confirms what we had expected or at least something very similar (Galaxies = 6). Then, as you add more components to the mixture  because now, you have more complexity but you are not necessarily explaining the data better, the value of the BIC starts to increase. You can see that this is not a strictly monotone, you have some local modes in a couple of places. But you can overall see that the global minimum is clearly located at K equal to 7. "
      ],
      "cell_type": "markdown",
      "metadata": {}
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"277.573625pt\" version=\"1.1\" viewBox=\"0 0 393.76375 277.573625\" width=\"393.76375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 277.573625 \nL 393.76375 277.573625 \nL 393.76375 0 \nL 0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 51.76375 241.58175 \nL 386.56375 241.58175 \nL 386.56375 24.14175 \nL 51.76375 24.14175 \nz\n\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 66.981932 241.58175 \nL 66.981932 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m7b1d158ed1\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"66.981932\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 2 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(63.800682 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 83.891023 241.58175 \nL 83.891023 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"83.891023\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 3 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(80.709773 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 100.800114 241.58175 \nL 100.800114 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"100.800114\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(97.618864 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 117.709205 241.58175 \nL 117.709205 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"117.709205\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(114.527955 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 134.618295 241.58175 \nL 134.618295 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"134.618295\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(131.437045 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 151.527386 241.58175 \nL 151.527386 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"151.527386\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 7 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(148.346136 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 168.436477 241.58175 \nL 168.436477 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"168.436477\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(165.255227 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 185.345568 241.58175 \nL 185.345568 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"185.345568\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 9 -->\n      <defs>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(182.164318 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 202.254659 241.58175 \nL 202.254659 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"202.254659\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 10 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(195.892159 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 219.16375 241.58175 \nL 219.16375 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"219.16375\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 11 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(212.80125 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_11\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 236.072841 241.58175 \nL 236.072841 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"236.072841\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 12 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(229.710341 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_12\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 252.981932 241.58175 \nL 252.981932 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"252.981932\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 13 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(246.619432 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 269.891023 241.58175 \nL 269.891023 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"269.891023\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 14 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(263.528523 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 286.800114 241.58175 \nL 286.800114 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"286.800114\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 15 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(280.437614 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 303.709205 241.58175 \nL 303.709205 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"303.709205\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 16 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(297.346705 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_16\">\n     <g id=\"line2d_31\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 320.618295 241.58175 \nL 320.618295 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"320.618295\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 17 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(314.255795 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_17\">\n     <g id=\"line2d_33\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 337.527386 241.58175 \nL 337.527386 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"337.527386\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 18 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(331.164886 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_18\">\n     <g id=\"line2d_35\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 354.436477 241.58175 \nL 354.436477 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"354.436477\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_18\">\n      <!-- 19 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(348.073977 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_19\">\n     <g id=\"line2d_37\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 371.345568 241.58175 \nL 371.345568 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"371.345568\" xlink:href=\"#m7b1d158ed1\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_19\">\n      <!-- 20 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(364.983068 252.680187)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_20\">\n     <!-- Sigma -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(200.3575 267.878)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"154.736328\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"252.148438\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_39\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 229.35129 \nL 386.56375 229.35129 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_40\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m627fb06b80\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"229.35129\"/>\n      </g>\n     </g>\n     <g id=\"text_21\">\n      <!-- 500 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(29.17625 233.150509)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_41\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 205.152318 \nL 386.56375 205.152318 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"205.152318\"/>\n      </g>\n     </g>\n     <g id=\"text_22\">\n      <!-- 1000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 208.951537)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_43\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 180.953346 \nL 386.56375 180.953346 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"180.953346\"/>\n      </g>\n     </g>\n     <g id=\"text_23\">\n      <!-- 1500 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 184.752565)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_45\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 156.754374 \nL 386.56375 156.754374 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_46\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"156.754374\"/>\n      </g>\n     </g>\n     <g id=\"text_24\">\n      <!-- 2000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 160.553593)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_47\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 132.555402 \nL 386.56375 132.555402 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_48\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"132.555402\"/>\n      </g>\n     </g>\n     <g id=\"text_25\">\n      <!-- 2500 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 136.354621)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_49\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 108.35643 \nL 386.56375 108.35643 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_50\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"108.35643\"/>\n      </g>\n     </g>\n     <g id=\"text_26\">\n      <!-- 3000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 112.155649)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_51\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 84.157458 \nL 386.56375 84.157458 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_52\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"84.157458\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- 3500 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 87.956677)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_53\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 59.958486 \nL 386.56375 59.958486 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_54\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"59.958486\"/>\n      </g>\n     </g>\n     <g id=\"text_28\">\n      <!-- 4000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 63.757705)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_9\">\n     <g id=\"line2d_55\">\n      <path clip-path=\"url(#p55d85636cb)\" d=\"M 51.76375 35.759514 \nL 386.56375 35.759514 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_56\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"51.76375\" xlink:href=\"#m627fb06b80\" y=\"35.759514\"/>\n      </g>\n     </g>\n     <g id=\"text_29\">\n      <!-- 4500 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 39.558733)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_30\">\n     <!-- Components K -->\n     <defs>\n      <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 42.09375 \nL 52.390625 72.90625 \nL 65.09375 72.90625 \nL 28.90625 38.921875 \nL 67.671875 0 \nL 54.6875 0 \nL 19.671875 35.109375 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-75\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(16.318125 176.663625)rotate(-90)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-67\"/>\n      <use x=\"69.824219\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"131.005859\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"228.417969\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"291.894531\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"353.076172\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"416.455078\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"477.978516\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"541.357422\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"580.566406\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"632.666016\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"664.453125\" xlink:href=\"#DejaVuSans-75\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_57\">\n    <path clip-path=\"url(#p55d85636cb)\" d=\"M 66.981932 34.025386 \nL 83.891023 107.384201 \nL 100.800114 190.631746 \nL 117.709205 201.198096 \nL 134.618295 201.213126 \nL 151.527386 214.828947 \nL 168.436477 214.833065 \nL 185.345568 225.058091 \nL 202.254659 223.747668 \nL 219.16375 225.098848 \nL 236.072841 224.004759 \nL 252.981932 225.228448 \nL 269.891023 225.228162 \nL 286.800114 227.614328 \nL 303.709205 227.590332 \nL 320.618295 229.767836 \nL 337.527386 229.768913 \nL 354.436477 228.463831 \nL 371.345568 231.698114 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.6;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 51.76375 241.58175 \nL 51.76375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 386.56375 241.58175 \nL 386.56375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 51.76375 241.58175 \nL 386.56375 241.58175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 51.76375 24.14175 \nL 386.56375 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_31\">\n    <!-- Value of sigma over components -->\n    <defs>\n     <path d=\"M 28.609375 0 \nL 0.78125 72.90625 \nL 11.078125 72.90625 \nL 34.1875 11.53125 \nL 57.328125 72.90625 \nL 67.578125 72.90625 \nL 39.796875 0 \nz\n\" id=\"DejaVuSans-86\"/>\n     <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n    </defs>\n    <g style=\"fill:#ffffff;\" transform=\"translate(101.0095 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-86\"/>\n     <use x=\"60.658203\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"121.9375\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"149.720703\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"213.099609\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"274.623047\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"306.410156\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"367.591797\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"402.796875\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"434.583984\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"486.683594\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"514.466797\" xlink:href=\"#DejaVuSans-103\"/>\n     <use x=\"577.943359\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"675.355469\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"736.634766\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"768.421875\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"829.603516\" xlink:href=\"#DejaVuSans-118\"/>\n     <use x=\"888.783203\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"950.306641\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"991.419922\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1023.207031\" xlink:href=\"#DejaVuSans-99\"/>\n     <use x=\"1078.1875\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1139.369141\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"1236.78125\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"1300.257812\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1361.439453\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1424.818359\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1486.341797\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1549.720703\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1588.929688\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_58\">\n     <path d=\"M 318.22 37.240187 \nL 338.22 37.240187 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.6;\"/>\n    </g>\n    <g id=\"line2d_59\"/>\n    <g id=\"text_32\">\n     <!-- Sigma -->\n     <g style=\"fill:#ffffff;\" transform=\"translate(346.22 40.740187)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"91.259766\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"154.736328\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"252.148438\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p55d85636cb\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"51.76375\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "## What happens with the variance (bandwidth) as K increases\n",
        "fig, ax = plt.subplots(1, 1)\n",
        "ax.plot(np.arange(2, KKmax + 1), sigma_sum[:], 'r-', lw=1, alpha=0.6, label='Sigma') # BIC plot\n",
        "ax.legend(loc='best', frameon=False)\n",
        "# Arrangind data\n",
        "plt.title('Value of sigma over components')\n",
        "plt.xlabel('Sigma')\n",
        "plt.ylabel('Components K')\n",
        "plt.xticks(np.arange(2, KKmax + 1))\n",
        "plt.show()"
      ]
    },
    {
      "source": [
        "We discussed that the value of sigma is related, in some sense, with the number or there is a trade-off between the value of sigma and the number of components in the mixture. In particular, as you use more components, those tend to be more localized and therefore, the value of sigma becomes smaller. That is, in some sense, the intuition that we get by comparing kernel density estimation with mixture models. "
      ],
      "cell_type": "markdown",
      "metadata": {}
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "## Method to compute density estimates for various values of K\n",
        "def compute_density(xx, w, mu, sigma):\n",
        "    KK  = len(w)\n",
        "    nxx = len(xx)\n",
        "    density_EM = np.zeros(nxx)\n",
        "    for s in range(nxx):\n",
        "        for k in range(KK):\n",
        "            density_EM[s] = density_EM[s] +  w[k] * norm.pdf(loc = mu[k], scale = sigma, x = xx[s])\n",
        "    return density_EM"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Estimating densities\n",
        "xx = np.linspace(5000, 37000, num = 300)\n",
        "KK = 8\n",
        "mdeKK8 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])\n",
        "KK = 7\n",
        "mdeKK7 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])\n",
        "KK = 6\n",
        "mdeKK6 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])\n",
        "KK = 5\n",
        "mdeKK5 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])\n",
        "KK = 4\n",
        "mdeKK4 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])\n",
        "KK = 3\n",
        "mdeKK3 = compute_density(xx, w_sum[KK - 2], mu_sum[KK - 2], sigma_sum[KK - 2])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"261.959875pt\" version=\"1.1\" viewBox=\"0 0 410.013 261.959875\" width=\"410.013pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 261.959875 \nL 410.013 261.959875 \nL 410.013 0 \nL 0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 58.415625 241.58175 \nL 393.215625 241.58175 \nL 393.215625 24.14175 \nL 58.415625 24.14175 \nz\n\"/>\n   </g>\n   <g id=\"PathCollection_1\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"mcbf5b6b6e6\" style=\"stroke:#348abd;stroke-width:0.5;\"/>\n    </defs>\n    <g clip-path=\"url(#p5d1cb17b12)\">\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"113.315216\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"115.008239\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"116.27325\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"116.986602\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"119.050568\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"123.349705\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"125.052239\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"179.057761\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"179.875739\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"201.266795\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"202.531807\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"202.988352\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"206.098568\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"207.287489\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"207.458693\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"209.931648\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"210.055295\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"210.112364\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"210.977898\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.291773\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.824409\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.938545\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.995614\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"213.098932\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"214.839511\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"214.934625\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"215.001205\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"215.486284\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"215.52433\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"216.047455\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"216.199636\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"217.883148\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"217.96875\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"218.006795\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"218.168489\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"218.349205\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"218.406273\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"220.251477\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"222.286909\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"223.865795\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"224.113091\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"224.350875\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"224.626705\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"225.682466\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"227.118682\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"230.495216\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"232.483091\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"233.557875\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"234.575591\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"234.946534\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.086591\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.314864\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.628739\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.695318\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"238.313557\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"238.884239\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"240.035114\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"242.422466\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"242.431977\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"243.77308\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"244.020375\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"246.797693\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"247.130591\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"247.339841\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"249.441852\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"249.955466\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"249.993511\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"251.17292\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"251.553375\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"251.600932\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"255.576682\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"257.060455\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"257.0985\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"257.830875\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"261.169364\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"263.765966\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"269.881773\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"279.935284\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"282.83625\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"331.058864\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"337.945091\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"352.117023\" xlink:href=\"#mcbf5b6b6e6\" y=\"231.698114\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 73.633807 241.58175 \nL 73.633807 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m12013f5848\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"73.633807\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 5000 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(60.908807 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 121.190625 241.58175 \nL 121.190625 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"121.190625\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10000 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(105.284375 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 168.747443 241.58175 \nL 168.747443 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"168.747443\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 15000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(152.841193 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 216.304261 241.58175 \nL 216.304261 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"216.304261\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 20000 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(200.398011 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 263.86108 241.58175 \nL 263.86108 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"263.86108\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 25000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(247.95483 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 311.417898 241.58175 \nL 311.417898 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"311.417898\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 30000 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(295.511648 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 358.974716 241.58175 \nL 358.974716 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"358.974716\" xlink:href=\"#m12013f5848\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 35000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(343.068466 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 231.698114 \nL 393.215625 231.698114 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m05f5f3aedd\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"231.698114\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.000000 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 235.497332)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 205.238291 \nL 393.215625 205.238291 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"205.238291\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.000025 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 209.03751)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 178.778469 \nL 393.215625 178.778469 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"178.778469\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.000050 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 182.577688)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 152.318647 \nL 393.215625 152.318647 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"152.318647\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.000075 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 156.117865)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 125.858824 \nL 393.215625 125.858824 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"125.858824\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.000100 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 129.658043)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 99.399002 \nL 393.215625 99.399002 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"99.399002\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.000125 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 103.198221)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 72.93918 \nL 393.215625 72.93918 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"72.93918\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.000150 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 76.738398)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 58.415625 46.479357 \nL 393.215625 46.479357 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_30\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"58.415625\" xlink:href=\"#m05f5f3aedd\" y=\"46.479357\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.000175 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 50.278576)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"413.525391\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 73.633807 231.695583 \nL 83.813193 231.582592 \nL 87.884947 231.293234 \nL 89.920824 230.983396 \nL 91.956701 230.484927 \nL 93.992578 229.71793 \nL 96.028456 228.590206 \nL 98.064333 227.007651 \nL 100.10021 224.891234 \nL 102.136087 222.199388 \nL 104.171964 218.952304 \nL 106.207841 215.252337 \nL 111.297534 205.496354 \nL 113.333412 202.222396 \nL 114.35135 200.891025 \nL 115.369289 199.813354 \nL 116.387227 199.019633 \nL 117.405166 198.532597 \nL 118.423104 198.366381 \nL 119.441043 198.52584 \nL 120.458982 199.006317 \nL 121.47692 199.793862 \nL 122.494859 200.865912 \nL 123.512797 202.192358 \nL 125.548675 205.458959 \nL 128.60249 211.251964 \nL 131.656306 217.11024 \nL 133.692183 220.606779 \nL 135.72806 223.588839 \nL 137.763938 225.996001 \nL 139.799815 227.840609 \nL 141.835692 229.184363 \nL 143.871569 230.11394 \nL 145.907446 230.720363 \nL 147.943323 231.084402 \nL 149.979201 231.268288 \nL 153.033016 231.289381 \nL 156.086832 231.043729 \nL 159.140648 230.506743 \nL 161.176525 229.958751 \nL 163.212402 229.243051 \nL 166.266218 227.862184 \nL 170.337972 225.625795 \nL 173.391788 223.956553 \nL 175.427665 223.018299 \nL 177.463542 222.315663 \nL 179.499419 221.893684 \nL 181.535297 221.740278 \nL 186.62499 221.717463 \nL 187.642928 221.528118 \nL 188.660867 221.170241 \nL 189.678805 220.58462 \nL 190.696744 219.705913 \nL 191.714682 218.463399 \nL 192.732621 216.7821 \nL 193.75056 214.584333 \nL 194.768498 211.791768 \nL 195.786437 208.328018 \nL 196.804375 204.121784 \nL 197.822314 199.110498 \nL 198.840253 193.24441 \nL 199.858191 186.490938 \nL 200.87613 178.839101 \nL 202.912007 160.929372 \nL 204.947884 140.005641 \nL 212.073454 62.134873 \nL 213.091393 53.535507 \nL 214.109331 46.296295 \nL 215.12727 40.609053 \nL 216.145208 36.622949 \nL 217.163147 34.436637 \nL 218.181086 34.092535 \nL 219.199024 35.573614 \nL 220.216963 38.802915 \nL 221.234901 43.645851 \nL 222.25284 49.915158 \nL 223.270779 57.378213 \nL 225.306656 74.785282 \nL 228.360471 102.549158 \nL 230.396349 118.729498 \nL 231.414287 125.379833 \nL 232.432226 130.831375 \nL 233.450164 134.964952 \nL 234.468103 137.713022 \nL 235.486042 139.060546 \nL 236.50398 139.044093 \nL 237.521919 137.74928 \nL 238.539857 135.306672 \nL 239.557796 131.886292 \nL 240.575734 127.690912 \nL 242.611612 117.902748 \nL 244.647489 107.907472 \nL 245.665427 103.446206 \nL 246.683366 99.640958 \nL 247.701305 96.682924 \nL 248.719243 94.728936 \nL 249.737182 93.896296 \nL 250.75512 94.259371 \nL 251.773059 95.848122 \nL 252.790997 98.64861 \nL 253.808936 102.605449 \nL 254.826875 107.626005 \nL 255.844813 113.586099 \nL 257.88069 127.712166 \nL 260.934506 151.830414 \nL 263.988322 175.51158 \nL 266.024199 189.375505 \nL 268.060076 201.042451 \nL 269.078015 205.988114 \nL 270.095953 210.345998 \nL 271.113892 214.138018 \nL 272.131831 217.397333 \nL 273.149769 220.165193 \nL 274.167708 222.48799 \nL 275.185646 224.414648 \nL 276.203585 225.994408 \nL 277.221523 227.275057 \nL 278.239462 228.301594 \nL 279.257401 229.115305 \nL 280.275339 229.753217 \nL 282.311216 230.627225 \nL 284.347094 231.131118 \nL 286.382971 231.409435 \nL 289.436786 231.600611 \nL 295.544418 231.688521 \nL 306.741742 231.629968 \nL 311.831435 231.394215 \nL 314.885251 231.035283 \nL 316.921128 230.636619 \nL 318.957005 230.063491 \nL 320.992883 229.277628 \nL 323.02876 228.251661 \nL 325.064637 226.979365 \nL 327.100514 225.485615 \nL 335.244023 219.083538 \nL 337.2799 218.044854 \nL 338.297838 217.701032 \nL 339.315777 217.488415 \nL 340.333716 217.413172 \nL 341.351654 217.477502 \nL 342.369593 217.679525 \nL 343.387531 218.013375 \nL 345.423409 219.035026 \nL 347.459286 220.430614 \nL 350.513101 222.910801 \nL 354.584856 226.198388 \nL 356.620733 227.595498 \nL 358.65661 228.755282 \nL 360.692487 229.668306 \nL 362.728364 230.351853 \nL 364.764242 230.839519 \nL 367.818057 231.291788 \nL 371.889812 231.567466 \nL 377.997443 231.680358 \nL 377.997443 231.680358 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-opacity:0.6;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 73.633807 228.369063 \nL 79.741438 227.115492 \nL 86.867008 225.414183 \nL 102.136087 221.648044 \nL 107.22578 220.657732 \nL 111.297534 220.058952 \nL 115.369289 219.66717 \nL 119.441043 219.501376 \nL 123.512797 219.564978 \nL 127.584552 219.843976 \nL 132.674245 220.444967 \nL 139.799815 221.563652 \nL 146.925385 222.62543 \nL 150.997139 223.002547 \nL 154.050955 223.087434 \nL 157.104771 222.943076 \nL 160.158586 222.512674 \nL 162.194464 222.037724 \nL 164.230341 221.391543 \nL 166.266218 220.556155 \nL 168.302095 219.513696 \nL 170.337972 218.246664 \nL 172.373849 216.738231 \nL 174.409727 214.972592 \nL 176.445604 212.935368 \nL 178.481481 210.614054 \nL 180.517358 207.9985 \nL 182.553235 205.081418 \nL 184.589112 201.85891 \nL 186.62499 198.330982 \nL 189.678805 192.477397 \nL 192.732621 185.983514 \nL 195.786437 178.91254 \nL 199.858191 168.750724 \nL 204.947884 155.306358 \nL 212.073454 136.522131 \nL 215.12727 129.041362 \nL 218.181086 122.207382 \nL 220.216963 118.112109 \nL 222.25284 114.451834 \nL 224.288717 111.27827 \nL 226.324594 108.637168 \nL 228.360471 106.567241 \nL 229.37841 105.756409 \nL 230.396349 105.099235 \nL 231.414287 104.598195 \nL 232.432226 104.255185 \nL 233.450164 104.07151 \nL 234.468103 104.047876 \nL 235.486042 104.184384 \nL 236.50398 104.480532 \nL 237.521919 104.935216 \nL 238.539857 105.546739 \nL 239.557796 106.312822 \nL 241.593673 108.296719 \nL 243.62955 110.857634 \nL 245.665427 113.958228 \nL 247.701305 117.554008 \nL 249.737182 121.594386 \nL 251.773059 126.023866 \nL 254.826875 133.267614 \nL 258.898629 143.719874 \nL 271.113892 176.010842 \nL 274.167708 183.411132 \nL 277.221523 190.298552 \nL 280.275339 196.602488 \nL 283.329155 202.280883 \nL 286.382971 207.317639 \nL 288.418848 210.321341 \nL 290.454725 213.048897 \nL 292.490602 215.509952 \nL 294.526479 217.716641 \nL 296.562357 219.68303 \nL 298.598234 221.424597 \nL 300.634111 222.957741 \nL 302.669988 224.299349 \nL 305.723804 225.989736 \nL 308.77762 227.343418 \nL 311.831435 228.413423 \nL 314.885251 229.248359 \nL 318.957005 230.070099 \nL 323.02876 230.637719 \nL 328.118453 231.094918 \nL 334.226084 231.404044 \nL 343.387531 231.606149 \nL 359.674549 231.689055 \nL 377.997443 231.697659 \nL 377.997443 231.697659 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 73.633807 231.659007 \nL 79.741438 231.490854 \nL 83.813193 231.14795 \nL 86.867008 230.632576 \nL 88.902886 230.097683 \nL 90.938763 229.358567 \nL 92.97464 228.369578 \nL 95.010517 227.08917 \nL 97.046394 225.486903 \nL 99.082271 223.551488 \nL 101.118149 221.298769 \nL 104.171964 217.442912 \nL 110.279596 209.391266 \nL 112.315473 207.16723 \nL 114.35135 205.442942 \nL 115.369289 204.810596 \nL 116.387227 204.349002 \nL 117.405166 204.067381 \nL 118.423104 203.971409 \nL 119.441043 204.06303 \nL 120.458982 204.340388 \nL 121.47692 204.797892 \nL 122.494859 205.4264 \nL 123.512797 206.213526 \nL 125.548675 208.200376 \nL 127.584552 210.611775 \nL 131.656306 216.043892 \nL 134.710122 220.038095 \nL 136.745999 222.436333 \nL 138.781876 224.538058 \nL 140.817753 226.310889 \nL 142.85363 227.753172 \nL 144.889508 228.886577 \nL 146.925385 229.747925 \nL 148.961262 230.381533 \nL 150.997139 230.832974 \nL 154.050955 231.259728 \nL 158.122709 231.534729 \nL 164.230341 231.644183 \nL 170.337972 231.518917 \nL 173.391788 231.272278 \nL 175.427665 230.957022 \nL 177.463542 230.440641 \nL 179.499419 229.620514 \nL 180.517358 229.054464 \nL 181.535297 228.35686 \nL 182.553235 227.50366 \nL 183.571174 226.468133 \nL 184.589112 225.220981 \nL 185.607051 223.730597 \nL 186.62499 221.963457 \nL 187.642928 219.884691 \nL 188.660867 217.458823 \nL 189.678805 214.650695 \nL 190.696744 211.42657 \nL 191.714682 207.75541 \nL 192.732621 203.610288 \nL 194.768498 193.820237 \nL 196.804375 181.98229 \nL 198.840253 168.186466 \nL 200.87613 152.72583 \nL 204.947884 119.083163 \nL 208.0017 94.728926 \nL 210.037577 80.725621 \nL 211.055516 74.748213 \nL 212.073454 69.589546 \nL 213.091393 65.332669 \nL 214.109331 62.041663 \nL 215.12727 59.759045 \nL 216.145208 58.503823 \nL 217.163147 58.270334 \nL 218.181086 59.027912 \nL 219.199024 60.721444 \nL 220.216963 63.272786 \nL 221.234901 66.583021 \nL 222.25284 70.535465 \nL 224.288717 79.83381 \nL 228.360471 99.969855 \nL 230.396349 108.636795 \nL 231.414287 112.241148 \nL 232.432226 115.265782 \nL 233.450164 117.669202 \nL 234.468103 119.433989 \nL 235.486042 120.566738 \nL 236.50398 121.097187 \nL 237.521919 121.076576 \nL 238.539857 120.575319 \nL 239.557796 119.680088 \nL 240.575734 118.490409 \nL 244.647489 113.013477 \nL 245.665427 112.02487 \nL 246.683366 111.392914 \nL 247.701305 111.200703 \nL 248.719243 111.516239 \nL 249.737182 112.390704 \nL 250.75512 113.857388 \nL 251.773059 115.931299 \nL 252.790997 118.609427 \nL 253.808936 121.871632 \nL 254.826875 125.682083 \nL 256.862752 134.737804 \nL 258.898629 145.257206 \nL 267.042138 189.764886 \nL 269.078015 198.970969 \nL 271.113892 206.836302 \nL 273.149769 213.315168 \nL 275.185646 218.468591 \nL 276.203585 220.588499 \nL 277.221523 222.431666 \nL 278.239462 224.0212 \nL 279.257401 225.380992 \nL 280.275339 226.535005 \nL 281.293278 227.506668 \nL 283.329155 228.991284 \nL 285.365032 229.996495 \nL 287.400909 230.656409 \nL 289.436786 231.076243 \nL 292.490602 231.421109 \nL 296.562357 231.594324 \nL 302.669988 231.573329 \nL 307.759681 231.329613 \nL 310.813497 231.015169 \nL 313.867312 230.503399 \nL 316.921128 229.73075 \nL 319.974944 228.649846 \nL 323.02876 227.254486 \nL 326.082575 225.603682 \nL 332.190207 222.151378 \nL 334.226084 221.195868 \nL 336.261961 220.453717 \nL 338.297838 219.981104 \nL 340.333716 219.815168 \nL 342.369593 219.969191 \nL 344.40547 220.43084 \nL 346.441347 221.163801 \nL 348.477224 222.112492 \nL 351.53104 223.790118 \nL 357.638672 227.215938 \nL 360.692487 228.618721 \nL 363.746303 229.707663 \nL 366.800119 230.487661 \nL 369.853935 231.005559 \nL 373.925689 231.39894 \nL 377.997443 231.582156 \nL 377.997443 231.582156 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_34\">\n    <path clip-path=\"url(#p5d1cb17b12)\" d=\"M 73.633807 231.69557 \nL 83.813193 231.582249 \nL 87.884947 231.292324 \nL 89.920824 230.982023 \nL 91.956701 230.482966 \nL 93.992578 229.715287 \nL 96.028456 228.586863 \nL 98.064333 227.003715 \nL 100.10021 224.886979 \nL 102.136087 222.195269 \nL 104.171964 218.948929 \nL 106.207841 215.250389 \nL 111.297534 205.500256 \nL 113.333412 202.228779 \nL 114.35135 200.898477 \nL 115.369289 199.821696 \nL 116.387227 199.028644 \nL 117.405166 198.542024 \nL 118.423104 198.37595 \nL 119.441043 198.535273 \nL 120.458982 199.015339 \nL 121.47692 199.802221 \nL 122.494859 200.873384 \nL 123.512797 202.198764 \nL 125.548675 205.462889 \nL 128.60249 211.252098 \nL 131.656306 217.107508 \nL 133.692183 220.602955 \nL 135.72806 223.584582 \nL 137.763938 225.99185 \nL 139.799815 227.836927 \nL 141.835692 229.181332 \nL 143.871569 230.111594 \nL 145.907446 230.718626 \nL 147.943323 231.083147 \nL 149.979201 231.267366 \nL 153.033016 231.288712 \nL 156.086832 231.043115 \nL 159.140648 230.506135 \nL 161.176525 229.958203 \nL 163.212402 229.242658 \nL 166.266218 227.862259 \nL 170.337972 225.626862 \nL 173.391788 223.95835 \nL 175.427665 223.020393 \nL 177.463542 222.317798 \nL 179.499419 221.895569 \nL 181.535297 221.741663 \nL 186.62499 221.717609 \nL 187.642928 221.528311 \nL 188.660867 221.170696 \nL 189.678805 220.585607 \nL 190.696744 219.707764 \nL 191.714682 218.466507 \nL 192.732621 216.786914 \nL 193.75056 214.591355 \nL 194.768498 211.801541 \nL 195.786437 208.341113 \nL 196.804375 204.138773 \nL 197.822314 199.131933 \nL 198.840253 193.270783 \nL 199.858191 186.522645 \nL 200.87613 178.876394 \nL 202.912007 160.977792 \nL 204.947884 140.063338 \nL 212.073454 62.173236 \nL 213.091393 53.561337 \nL 214.109331 46.307088 \nL 215.12727 40.602578 \nL 216.145208 36.59737 \nL 217.163147 34.390631 \nL 218.181086 34.025386 \nL 219.199024 35.485288 \nL 220.216963 38.6941 \nL 221.234901 43.517968 \nL 222.25284 49.770336 \nL 223.270779 57.219232 \nL 225.306656 74.608472 \nL 228.360471 102.376647 \nL 230.396349 118.581053 \nL 231.414287 125.249097 \nL 232.432226 130.721555 \nL 233.450164 134.87871 \nL 234.468103 137.652405 \nL 235.486042 139.026938 \nL 236.50398 139.038185 \nL 237.521919 137.771054 \nL 238.539857 135.355411 \nL 239.557796 131.960599 \nL 240.575734 127.788751 \nL 242.611612 118.039294 \nL 244.647489 108.068665 \nL 245.665427 103.613751 \nL 246.683366 99.810742 \nL 247.701305 96.850897 \nL 248.719243 94.891245 \nL 249.737182 94.049406 \nL 250.75512 94.400179 \nL 251.773059 95.974048 \nL 252.790997 98.75767 \nL 253.808936 102.696296 \nL 254.826875 107.697945 \nL 255.844813 113.639078 \nL 257.88069 127.729371 \nL 260.934506 151.805919 \nL 263.988322 175.464797 \nL 266.024199 189.324197 \nL 268.060076 200.992944 \nL 269.078015 205.941197 \nL 270.095953 210.302431 \nL 271.113892 214.098301 \nL 272.131831 217.361742 \nL 273.149769 220.133807 \nL 274.167708 222.46073 \nL 275.185646 224.391312 \nL 276.203585 225.974709 \nL 277.221523 227.258651 \nL 278.239462 228.288108 \nL 279.257401 229.104361 \nL 280.275339 229.744445 \nL 282.311216 230.621793 \nL 284.347094 231.12791 \nL 286.382971 231.407626 \nL 289.436786 231.599907 \nL 295.544418 231.688436 \nL 306.741742 231.629777 \nL 311.831435 231.393629 \nL 314.885251 231.034304 \nL 316.921128 230.635339 \nL 318.957005 230.061925 \nL 320.992883 229.275855 \nL 323.02876 228.249837 \nL 325.064637 226.977718 \nL 327.100514 225.484428 \nL 335.244023 219.086259 \nL 337.2799 218.04842 \nL 338.297838 217.704887 \nL 339.315777 217.492451 \nL 340.333716 217.417273 \nL 341.351654 217.481548 \nL 342.369593 217.683398 \nL 343.387531 218.016966 \nL 345.423409 219.037786 \nL 347.459286 220.432314 \nL 350.513101 222.910873 \nL 354.584856 226.196953 \nL 356.620733 227.593737 \nL 358.65661 228.753457 \nL 360.692487 229.666614 \nL 362.728364 230.350413 \nL 364.764242 230.838378 \nL 367.818057 231.291074 \nL 371.889812 231.567151 \nL 377.997443 231.680295 \nL 377.997443 231.680295 \n\" style=\"fill:none;stroke:#ffff00;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 58.415625 241.58175 \nL 58.415625 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 393.215625 241.58175 \nL 393.215625 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 58.415625 241.58175 \nL 393.215625 241.58175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 58.415625 24.14175 \nL 393.215625 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_16\">\n    <!-- Estimated distribution with different components -->\n    <defs>\n     <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n     <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n     <path d=\"M 4.203125 54.6875 \nL 13.1875 54.6875 \nL 24.421875 12.015625 \nL 35.59375 54.6875 \nL 46.1875 54.6875 \nL 57.421875 12.015625 \nL 68.609375 54.6875 \nL 77.59375 54.6875 \nL 63.28125 0 \nL 52.6875 0 \nL 40.921875 44.828125 \nL 29.109375 0 \nL 18.5 0 \nz\n\" id=\"DejaVuSans-119\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n     <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n    </defs>\n    <g style=\"fill:#ffffff;\" transform=\"translate(48.81825 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"115.283203\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"154.492188\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"182.275391\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"279.6875\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"340.966797\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"380.175781\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"441.699219\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"505.175781\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"536.962891\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"600.439453\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"628.222656\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"680.322266\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"719.53125\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"760.644531\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"788.427734\" xlink:href=\"#DejaVuSans-98\"/>\n     <use x=\"851.904297\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"915.283203\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"954.492188\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"982.275391\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1043.457031\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1106.835938\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1138.623047\" xlink:href=\"#DejaVuSans-119\"/>\n     <use x=\"1220.410156\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1248.193359\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1287.402344\" xlink:href=\"#DejaVuSans-104\"/>\n     <use x=\"1350.78125\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1382.568359\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"1446.044922\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1473.828125\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"1509.033203\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"1544.238281\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1605.761719\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"1644.625\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1706.148438\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1769.527344\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1808.736328\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1840.523438\" xlink:href=\"#DejaVuSans-99\"/>\n     <use x=\"1895.503906\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1956.685547\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"2054.097656\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"2117.574219\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"2178.755859\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2242.134766\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"2303.658203\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2367.037109\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"2406.246094\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_35\">\n     <path d=\"M 291.38125 37.240187 \nL 311.38125 37.240187 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-opacity:0.6;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_36\"/>\n    <g id=\"text_17\">\n     <!-- $K = 6$ -->\n     <defs>\n      <path d=\"M 4.6875 0 \nQ 3.71875 0 3.71875 1.3125 \nQ 3.765625 1.5625 3.90625 2.171875 \nQ 4.046875 2.78125 4.3125 3.140625 \nQ 4.59375 3.515625 4.984375 3.515625 \nQ 11.078125 3.515625 13.484375 4.203125 \nQ 14.796875 4.640625 15.375 6.890625 \nL 29.109375 61.8125 \nQ 29.296875 62.796875 29.296875 63.1875 \nQ 29.296875 64.265625 28.078125 64.40625 \nQ 26.21875 64.796875 20.90625 64.796875 \nQ 19.921875 64.796875 19.921875 66.109375 \nQ 20.265625 67.390625 20.453125 67.84375 \nQ 20.65625 68.3125 21.578125 68.3125 \nL 48.484375 68.3125 \nQ 49.515625 68.3125 49.515625 67 \nQ 49.46875 66.75 49.3125 66.15625 \nQ 49.171875 65.578125 48.921875 65.1875 \nQ 48.6875 64.796875 48.1875 64.796875 \nQ 42.09375 64.796875 39.703125 64.109375 \nQ 38.375 63.625 37.796875 61.375 \nL 29.6875 29 \nL 68.890625 59.28125 \nQ 69 59.46875 70.140625 60.609375 \nQ 71.296875 61.765625 71.296875 62.890625 \nQ 71.296875 64.796875 67.921875 64.796875 \nQ 66.890625 64.796875 66.890625 66.109375 \nQ 67.09375 66.890625 67.203125 67.328125 \nQ 67.328125 67.78125 67.640625 68.046875 \nQ 67.96875 68.3125 68.609375 68.3125 \nL 87.984375 68.3125 \nQ 88.53125 68.3125 88.765625 67.921875 \nQ 89.015625 67.53125 89.015625 67 \nQ 88.96875 66.75 88.796875 66.109375 \nQ 88.625 65.484375 88.359375 65.140625 \nQ 88.09375 64.796875 87.59375 64.796875 \nQ 80.28125 64.796875 71.578125 58.015625 \nQ 71.53125 57.953125 71.4375 57.921875 \nQ 71.34375 57.90625 71.234375 57.875 \nQ 71.140625 57.859375 71.09375 57.8125 \nL 50.484375 41.796875 \nL 65.484375 6.6875 \nQ 66.84375 4.5 68.40625 4 \nQ 69.96875 3.515625 73.1875 3.515625 \nQ 74.21875 3.515625 74.21875 2.203125 \nQ 73.921875 1.03125 73.625 0.515625 \nQ 73.34375 0 72.515625 0 \nL 49.3125 0 \nQ 48.390625 0 48.390625 1.3125 \nQ 48.53125 2.34375 48.71875 2.921875 \nQ 48.921875 3.515625 49.703125 3.515625 \nQ 52.25 3.515625 54.03125 4.03125 \nQ 55.8125 4.546875 55.8125 6.390625 \nQ 55.8125 7.078125 55.71875 7.421875 \nL 43.3125 36.28125 \nL 28.71875 25 \nL 24.125 6.5 \nQ 23.875 5.28125 23.875 5.078125 \nQ 23.875 4.046875 25.09375 3.90625 \nQ 27 3.515625 32.328125 3.515625 \nQ 33.296875 3.515625 33.296875 2.203125 \nQ 32.953125 0.78125 32.75 0.390625 \nQ 32.5625 0 31.59375 0 \nz\n\" id=\"Cmmi10-75\"/>\n      <path d=\"M 7.515625 13.28125 \nQ 6.6875 13.28125 6.140625 13.90625 \nQ 5.609375 14.546875 5.609375 15.28125 \nQ 5.609375 16.109375 6.140625 16.6875 \nQ 6.6875 17.28125 7.515625 17.28125 \nL 70.3125 17.28125 \nQ 71.046875 17.28125 71.578125 16.6875 \nQ 72.125 16.109375 72.125 15.28125 \nQ 72.125 14.546875 71.578125 13.90625 \nQ 71.046875 13.28125 70.3125 13.28125 \nz\nM 7.515625 32.71875 \nQ 6.6875 32.71875 6.140625 33.296875 \nQ 5.609375 33.890625 5.609375 34.71875 \nQ 5.609375 35.453125 6.140625 36.078125 \nQ 6.6875 36.71875 7.515625 36.71875 \nL 70.3125 36.71875 \nQ 71.046875 36.71875 71.578125 36.078125 \nQ 72.125 35.453125 72.125 34.71875 \nQ 72.125 33.890625 71.578125 33.296875 \nQ 71.046875 32.71875 70.3125 32.71875 \nz\n\" id=\"Cmr10-61\"/>\n      <path d=\"M 25 -2.203125 \nQ 18.796875 -2.203125 14.640625 1.09375 \nQ 10.5 4.390625 8.21875 9.640625 \nQ 5.953125 14.890625 5.078125 20.65625 \nQ 4.203125 26.421875 4.203125 32.328125 \nQ 4.203125 40.234375 7.28125 48.1875 \nQ 10.359375 56.15625 16.328125 61.375 \nQ 22.3125 66.609375 30.515625 66.609375 \nQ 33.9375 66.609375 36.890625 65.3125 \nQ 39.84375 64.015625 41.53125 61.5 \nQ 43.21875 58.984375 43.21875 55.421875 \nQ 43.21875 53.375 41.828125 51.984375 \nQ 40.4375 50.59375 38.375 50.59375 \nQ 36.421875 50.59375 35 52 \nQ 33.59375 53.421875 33.59375 55.421875 \nQ 33.59375 57.375 35 58.78125 \nQ 36.421875 60.203125 38.375 60.203125 \nL 38.921875 60.203125 \nQ 37.640625 62.015625 35.328125 62.859375 \nQ 33.015625 63.71875 30.515625 63.71875 \nQ 27.484375 63.71875 24.921875 62.390625 \nQ 22.359375 61.078125 20.3125 58.828125 \nQ 18.265625 56.59375 16.890625 53.875 \nQ 15.53125 51.171875 14.765625 47.703125 \nQ 14.015625 44.234375 13.8125 41.203125 \nQ 13.625 38.1875 13.625 33.59375 \nQ 15.375 37.703125 18.59375 40.3125 \nQ 21.828125 42.921875 25.875 42.921875 \nQ 30.328125 42.921875 33.984375 41.109375 \nQ 37.640625 39.3125 40.28125 36.109375 \nQ 42.921875 32.90625 44.3125 28.796875 \nQ 45.703125 24.703125 45.703125 20.515625 \nQ 45.703125 14.65625 43.09375 9.34375 \nQ 40.484375 4.046875 35.734375 0.921875 \nQ 31 -2.203125 25 -2.203125 \nz\nM 25 0.984375 \nQ 28.859375 0.984375 31.203125 2.734375 \nQ 33.546875 4.5 34.640625 7.390625 \nQ 35.75 10.296875 36.015625 13.25 \nQ 36.28125 16.21875 36.28125 20.515625 \nQ 36.28125 26.171875 35.734375 30.171875 \nQ 35.203125 34.1875 32.8125 37.234375 \nQ 30.421875 40.28125 25.484375 40.28125 \nQ 21.4375 40.28125 18.828125 37.546875 \nQ 16.21875 34.8125 15.015625 30.640625 \nQ 13.8125 26.46875 13.8125 22.609375 \nQ 13.8125 21.296875 13.921875 20.609375 \nQ 13.921875 20.453125 13.890625 20.359375 \nQ 13.875 20.265625 13.8125 20.125 \nQ 13.8125 15.828125 14.6875 11.421875 \nQ 15.578125 7.03125 18.0625 4 \nQ 20.5625 0.984375 25 0.984375 \nz\n\" id=\"Cmr10-54\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(319.38125 40.740187)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-54\"/>\n     </g>\n    </g>\n    <g id=\"line2d_37\">\n     <path d=\"M 291.38125 51.918312 \nL 311.38125 51.918312 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_38\"/>\n    <g id=\"text_18\">\n     <!-- $K = 3$ -->\n     <defs>\n      <path d=\"M 9.515625 7.71875 \nQ 11.859375 4.296875 15.8125 2.640625 \nQ 19.78125 0.984375 24.3125 0.984375 \nQ 30.125 0.984375 32.5625 5.9375 \nQ 35.015625 10.890625 35.015625 17.1875 \nQ 35.015625 20.015625 34.5 22.84375 \nQ 33.984375 25.6875 32.765625 28.125 \nQ 31.546875 30.5625 29.421875 32.03125 \nQ 27.296875 33.5 24.21875 33.5 \nL 17.578125 33.5 \nQ 16.703125 33.5 16.703125 34.421875 \nL 16.703125 35.296875 \nQ 16.703125 36.078125 17.578125 36.078125 \nL 23.09375 36.53125 \nQ 26.609375 36.53125 28.921875 39.15625 \nQ 31.25 41.796875 32.328125 45.578125 \nQ 33.40625 49.359375 33.40625 52.78125 \nQ 33.40625 57.5625 31.15625 60.640625 \nQ 28.90625 63.71875 24.3125 63.71875 \nQ 20.515625 63.71875 17.046875 62.28125 \nQ 13.578125 60.84375 11.53125 57.90625 \nQ 11.71875 57.953125 11.859375 57.984375 \nQ 12.015625 58.015625 12.203125 58.015625 \nQ 14.453125 58.015625 15.96875 56.453125 \nQ 17.484375 54.890625 17.484375 52.6875 \nQ 17.484375 50.53125 15.96875 48.96875 \nQ 14.453125 47.40625 12.203125 47.40625 \nQ 10.015625 47.40625 8.453125 48.96875 \nQ 6.890625 50.53125 6.890625 52.6875 \nQ 6.890625 56.984375 9.46875 60.15625 \nQ 12.0625 63.328125 16.140625 64.96875 \nQ 20.21875 66.609375 24.3125 66.609375 \nQ 27.34375 66.609375 30.703125 65.703125 \nQ 34.078125 64.796875 36.8125 63.109375 \nQ 39.546875 61.421875 41.28125 58.78125 \nQ 43.015625 56.15625 43.015625 52.78125 \nQ 43.015625 48.578125 41.140625 45.015625 \nQ 39.265625 41.453125 35.984375 38.859375 \nQ 32.71875 36.28125 28.8125 35.015625 \nQ 33.15625 34.1875 37.0625 31.734375 \nQ 40.96875 29.296875 43.328125 25.484375 \nQ 45.703125 21.6875 45.703125 17.28125 \nQ 45.703125 11.765625 42.671875 7.296875 \nQ 39.65625 2.828125 34.71875 0.3125 \nQ 29.78125 -2.203125 24.3125 -2.203125 \nQ 19.625 -2.203125 14.90625 -0.40625 \nQ 10.203125 1.375 7.203125 4.9375 \nQ 4.203125 8.5 4.203125 13.484375 \nQ 4.203125 15.96875 5.859375 17.625 \nQ 7.515625 19.28125 10.015625 19.28125 \nQ 11.625 19.28125 12.96875 18.53125 \nQ 14.3125 17.78125 15.0625 16.40625 \nQ 15.828125 15.046875 15.828125 13.484375 \nQ 15.828125 11.03125 14.109375 9.375 \nQ 12.40625 7.71875 10.015625 7.71875 \nz\n\" id=\"Cmr10-51\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(319.38125 55.418312)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-51\"/>\n     </g>\n    </g>\n    <g id=\"line2d_39\">\n     <path d=\"M 291.38125 66.596437 \nL 311.38125 66.596437 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_40\"/>\n    <g id=\"text_19\">\n     <!-- $K = 4$ -->\n     <defs>\n      <path d=\"M 2.78125 16.5 \nL 2.78125 20.015625 \nL 33.6875 66.109375 \nQ 34.03125 66.609375 34.71875 66.609375 \nL 36.1875 66.609375 \nQ 37.3125 66.609375 37.3125 65.484375 \nL 37.3125 20.015625 \nL 47.125 20.015625 \nL 47.125 16.5 \nL 37.3125 16.5 \nL 37.3125 6.6875 \nQ 37.3125 4.640625 40.234375 4.078125 \nQ 43.171875 3.515625 47.015625 3.515625 \nL 47.015625 0 \nL 19.484375 0 \nL 19.484375 3.515625 \nQ 23.34375 3.515625 26.265625 4.078125 \nQ 29.203125 4.640625 29.203125 6.6875 \nL 29.203125 16.5 \nz\nM 6.109375 20.015625 \nL 29.78125 20.015625 \nL 29.78125 55.421875 \nz\n\" id=\"Cmr10-52\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(319.38125 70.096437)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-52\"/>\n     </g>\n    </g>\n    <g id=\"line2d_41\">\n     <path d=\"M 291.38125 81.274563 \nL 311.38125 81.274563 \n\" style=\"fill:none;stroke:#ffff00;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_42\"/>\n    <g id=\"text_20\">\n     <!-- $K = 5$ -->\n     <defs>\n      <path d=\"M 8.6875 11.375 \nQ 9.71875 8.453125 11.84375 6.046875 \nQ 13.96875 3.65625 16.875 2.3125 \nQ 19.78125 0.984375 22.90625 0.984375 \nQ 30.125 0.984375 32.859375 6.59375 \nQ 35.59375 12.203125 35.59375 20.21875 \nQ 35.59375 23.6875 35.46875 26.046875 \nQ 35.359375 28.421875 34.8125 30.609375 \nQ 33.890625 34.125 31.5625 36.765625 \nQ 29.25 39.40625 25.875 39.40625 \nQ 22.515625 39.40625 20.09375 38.375 \nQ 17.671875 37.359375 16.15625 35.984375 \nQ 14.65625 34.625 13.484375 33.109375 \nQ 12.3125 31.59375 12.015625 31.5 \nL 10.890625 31.5 \nQ 10.640625 31.5 10.265625 31.8125 \nQ 9.90625 32.125 9.90625 32.421875 \nL 9.90625 65.828125 \nQ 9.90625 66.0625 10.21875 66.328125 \nQ 10.546875 66.609375 10.890625 66.609375 \nL 11.1875 66.609375 \nQ 17.921875 63.375 25.484375 63.375 \nQ 32.90625 63.375 39.796875 66.609375 \nL 40.09375 66.609375 \nQ 40.4375 66.609375 40.71875 66.359375 \nQ 41.015625 66.109375 41.015625 65.828125 \nL 41.015625 64.890625 \nQ 41.015625 64.40625 40.828125 64.40625 \nQ 37.40625 59.859375 32.25 57.3125 \nQ 27.09375 54.78125 21.578125 54.78125 \nQ 17.578125 54.78125 13.375 55.90625 \nL 13.375 37.015625 \nQ 16.703125 39.703125 19.3125 40.84375 \nQ 21.921875 42 25.984375 42 \nQ 31.5 42 35.859375 38.8125 \nQ 40.234375 35.640625 42.578125 30.53125 \nQ 44.921875 25.4375 44.921875 20.125 \nQ 44.921875 14.109375 41.96875 8.984375 \nQ 39.015625 3.859375 33.9375 0.828125 \nQ 28.859375 -2.203125 22.90625 -2.203125 \nQ 17.96875 -2.203125 13.84375 0.328125 \nQ 9.71875 2.875 7.34375 7.171875 \nQ 4.984375 11.46875 4.984375 16.3125 \nQ 4.984375 18.5625 6.4375 19.96875 \nQ 7.90625 21.390625 10.109375 21.390625 \nQ 12.3125 21.390625 13.796875 19.9375 \nQ 15.28125 18.5 15.28125 16.3125 \nQ 15.28125 14.15625 13.796875 12.671875 \nQ 12.3125 11.1875 10.109375 11.1875 \nQ 9.765625 11.1875 9.328125 11.25 \nQ 8.890625 11.328125 8.6875 11.375 \nz\n\" id=\"Cmr10-53\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(319.38125 84.774563)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-53\"/>\n     </g>\n    </g>\n    <g id=\"PathCollection_2\">\n     <g>\n      <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"301.38125\" xlink:href=\"#mcbf5b6b6e6\" y=\"96.827687\"/>\n     </g>\n    </g>\n    <g id=\"text_21\">\n     <!-- Original data -->\n     <defs>\n      <path d=\"M 39.40625 66.21875 \nQ 28.65625 66.21875 22.328125 58.203125 \nQ 16.015625 50.203125 16.015625 36.375 \nQ 16.015625 22.609375 22.328125 14.59375 \nQ 28.65625 6.59375 39.40625 6.59375 \nQ 50.140625 6.59375 56.421875 14.59375 \nQ 62.703125 22.609375 62.703125 36.375 \nQ 62.703125 50.203125 56.421875 58.203125 \nQ 50.140625 66.21875 39.40625 66.21875 \nz\nM 39.40625 74.21875 \nQ 54.734375 74.21875 63.90625 63.9375 \nQ 73.09375 53.65625 73.09375 36.375 \nQ 73.09375 19.140625 63.90625 8.859375 \nQ 54.734375 -1.421875 39.40625 -1.421875 \nQ 24.03125 -1.421875 14.8125 8.828125 \nQ 5.609375 19.09375 5.609375 36.375 \nQ 5.609375 53.65625 14.8125 63.9375 \nQ 24.03125 74.21875 39.40625 74.21875 \nz\n\" id=\"DejaVuSans-79\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(319.38125 99.452687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-79\"/>\n      <use x=\"78.710938\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"119.824219\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"147.607422\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"211.083984\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"238.867188\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"302.246094\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"363.525391\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"391.308594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"423.095703\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"486.572266\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"547.851562\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"587.060547\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p5d1cb17b12\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"58.415625\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "## Plot the final result distribution for various samples\n",
        "fig, ax = plt.subplots(1, 1)\n",
        "# Bayesian plot (K = 6)\n",
        "ax.plot(xx, mdeKK6, color = 'white',  lw=2, alpha=0.6, label='$K = 6$') # Trace plot of data\n",
        "# EM algorithm K = 3\n",
        "ax.plot(xx, mdeKK3, '--', color = 'blue', label = '$K = 3$')\n",
        "# EM algorithm K = 4\n",
        "ax.plot(xx, mdeKK4, '--', color = 'red', label = '$K = 4$')\n",
        "# EM algorithm K = 7\n",
        "ax.plot(xx, mdeKK5, '--', color = 'yellow', label = '$K = 5$')\n",
        "# Plotting original data\n",
        "ax.scatter(np.array(x), np.zeros((x.shape[0])), label = 'Original data')\n",
        "ax.legend(loc='best', frameon=False)\n",
        "# plot density estimate of the posterior\n",
        "plt.title('Estimated distribution with different components')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"261.959875pt\" version=\"1.1\" viewBox=\"0 0 403.6505 261.959875\" width=\"403.6505pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M -0 261.959875 \nL 403.6505 261.959875 \nL 403.6505 0 \nL -0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 52.053125 241.58175 \nL 386.853125 241.58175 \nL 386.853125 24.14175 \nL 52.053125 24.14175 \nz\n\"/>\n   </g>\n   <g id=\"PathCollection_1\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"m6fbaba3785\" style=\"stroke:#348abd;stroke-width:0.5;\"/>\n    </defs>\n    <g clip-path=\"url(#p549c357b7b)\">\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"106.952716\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"108.645739\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"109.91075\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"110.624102\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"112.688068\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"116.987205\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"118.689739\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"172.695261\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"173.513239\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"194.904295\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"196.169307\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"196.625852\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"199.736068\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"200.924989\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"201.096193\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"203.569148\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"203.692795\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"203.749864\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"204.615398\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"204.929273\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"205.461909\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"205.576045\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"205.633114\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"206.736432\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"208.477011\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"208.572125\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"208.638705\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"209.123784\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"209.16183\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"209.684955\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"209.837136\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.520648\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.60625\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.644295\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.805989\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"211.986705\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"212.043773\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"213.888977\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"215.924409\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"217.503295\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"217.750591\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"217.988375\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"218.264205\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"219.319966\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"220.756182\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"224.132716\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"226.120591\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"227.195375\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"228.213091\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"228.584034\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"230.724091\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"230.952364\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"231.266239\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"231.332818\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"231.951057\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"232.521739\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"233.672614\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"236.059966\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"236.069477\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.41058\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"237.657875\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"240.435193\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"240.768091\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"240.977341\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"243.079352\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"243.592966\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"243.631011\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"244.81042\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"245.190875\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"245.238432\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"249.214182\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"250.697955\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"250.736\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"251.468375\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"254.806864\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"257.403466\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"263.519273\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"273.572784\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"276.47375\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"324.696364\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"331.582591\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n     <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"345.754523\" xlink:href=\"#m6fbaba3785\" y=\"231.698114\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 67.271307 241.58175 \nL 67.271307 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"me867ea1a18\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"67.271307\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 5000 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(54.546307 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 114.828125 241.58175 \nL 114.828125 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"114.828125\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 10000 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(98.921875 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 162.384943 241.58175 \nL 162.384943 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"162.384943\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 15000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(146.478693 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 209.941761 241.58175 \nL 209.941761 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"209.941761\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 20000 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(194.035511 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 257.49858 241.58175 \nL 257.49858 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"257.49858\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 25000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(241.59233 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 305.055398 241.58175 \nL 305.055398 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"305.055398\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 30000 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(289.149148 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 352.612216 241.58175 \nL 352.612216 24.14175 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"352.612216\" xlink:href=\"#me867ea1a18\" y=\"241.58175\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 35000 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(336.705966 252.680188)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"254.492188\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 52.053125 231.698114 \nL 386.853125 231.698114 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"mb4c40f3f1c\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"52.053125\" xlink:href=\"#mb4c40f3f1c\" y=\"231.698114\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.00000 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 235.497332)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 52.053125 187.784759 \nL 386.853125 187.784759 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"52.053125\" xlink:href=\"#mb4c40f3f1c\" y=\"187.784759\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.00005 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 191.583978)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 52.053125 143.871405 \nL 386.853125 143.871405 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"52.053125\" xlink:href=\"#mb4c40f3f1c\" y=\"143.871405\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.00010 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 147.670624)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 52.053125 99.958051 \nL 386.853125 99.958051 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"52.053125\" xlink:href=\"#mb4c40f3f1c\" y=\"99.958051\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.00015 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 103.75727)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p549c357b7b)\" d=\"M 52.053125 56.044697 \nL 386.853125 56.044697 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"52.053125\" xlink:href=\"#mb4c40f3f1c\" y=\"56.044697\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.00020 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(7.2 59.843916)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"286.279297\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"349.902344\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#p549c357b7b)\" d=\"M 67.271307 231.696014 \nL 77.450693 231.602252 \nL 81.522447 231.362139 \nL 84.576263 230.92162 \nL 86.61214 230.405636 \nL 88.648017 229.629433 \nL 90.683894 228.514294 \nL 92.719771 226.986296 \nL 94.755649 224.992889 \nL 96.791526 222.522757 \nL 98.827403 219.62505 \nL 101.881219 214.766207 \nL 104.935034 209.95558 \nL 106.970912 207.238811 \nL 107.98885 206.134023 \nL 109.006789 205.239759 \nL 110.024727 204.58112 \nL 111.042666 204.176971 \nL 112.060604 204.039043 \nL 113.078543 204.171365 \nL 114.096482 204.57007 \nL 115.11442 205.223584 \nL 116.132359 206.113184 \nL 117.150297 207.213884 \nL 119.186175 209.924549 \nL 122.23999 214.731654 \nL 125.293806 219.592922 \nL 127.329683 222.494391 \nL 129.36556 224.96894 \nL 131.401438 226.966432 \nL 133.437315 228.49711 \nL 135.473192 229.612173 \nL 137.509069 230.383548 \nL 139.544946 230.886764 \nL 141.580823 231.188849 \nL 144.634639 231.372908 \nL 147.688455 231.31559 \nL 150.742271 231.035616 \nL 153.796086 230.499053 \nL 156.849902 229.660874 \nL 159.903718 228.515014 \nL 163.975472 226.659231 \nL 168.047227 224.864043 \nL 170.083104 224.176294 \nL 172.118981 223.707562 \nL 174.154858 223.473718 \nL 177.208674 223.456779 \nL 180.26249 223.41605 \nL 181.280428 223.258929 \nL 182.298367 222.961959 \nL 183.316305 222.476003 \nL 184.334244 221.746842 \nL 185.352182 220.715789 \nL 186.370121 219.320627 \nL 187.38806 217.496894 \nL 188.405998 215.17959 \nL 189.423937 212.305329 \nL 190.441875 208.814945 \nL 191.459814 204.65652 \nL 192.477753 199.788771 \nL 193.495691 194.184659 \nL 194.51363 187.835073 \nL 196.549507 172.973365 \nL 198.585384 155.610603 \nL 205.710954 90.992508 \nL 206.728893 83.856652 \nL 207.746831 77.849466 \nL 208.76477 73.130125 \nL 209.782708 69.822408 \nL 210.800647 68.008181 \nL 211.818586 67.722641 \nL 212.836524 68.951658 \nL 213.854463 71.63137 \nL 214.872401 75.650096 \nL 215.89034 80.852443 \nL 216.908279 87.045375 \nL 218.944156 101.489969 \nL 221.997971 124.528765 \nL 224.033849 137.955405 \nL 225.051787 143.473933 \nL 226.069726 147.997688 \nL 227.087664 151.427779 \nL 228.105603 153.70816 \nL 229.123542 154.826352 \nL 230.14148 154.812699 \nL 231.159419 153.738248 \nL 232.177357 151.711342 \nL 233.195296 148.87307 \nL 234.213234 145.391693 \nL 236.249112 137.269358 \nL 238.284989 128.975158 \nL 239.302927 125.273146 \nL 240.320866 122.115506 \nL 241.338805 119.660894 \nL 242.356743 118.039452 \nL 243.374682 117.348517 \nL 244.39262 117.649801 \nL 245.410559 118.968165 \nL 246.428497 121.292044 \nL 247.446436 124.575476 \nL 248.464375 128.741594 \nL 249.482313 133.687351 \nL 251.51819 145.40933 \nL 254.572006 165.422941 \nL 257.625822 185.073856 \nL 259.661699 196.578307 \nL 261.697576 206.259678 \nL 262.715515 210.363648 \nL 263.733453 213.979873 \nL 264.751392 217.126536 \nL 265.769331 219.831155 \nL 266.787269 222.127958 \nL 267.805208 224.055443 \nL 268.823146 225.654207 \nL 269.841085 226.965111 \nL 270.859023 228.027809 \nL 271.876962 228.879641 \nL 272.894901 229.554869 \nL 274.930778 230.494667 \nL 276.966655 231.048331 \nL 279.002532 231.360748 \nL 282.056348 231.580813 \nL 287.146041 231.681179 \nL 300.379242 231.641565 \nL 305.468935 231.445935 \nL 308.522751 231.148089 \nL 311.576567 230.599679 \nL 313.612444 230.039418 \nL 315.648321 229.289628 \nL 317.684198 228.335274 \nL 319.720075 227.183161 \nL 322.773891 225.171764 \nL 326.845646 222.398316 \nL 328.881523 221.230388 \nL 330.9174 220.368476 \nL 332.953277 219.906735 \nL 333.971216 219.844298 \nL 334.989154 219.89768 \nL 337.025031 220.342353 \nL 339.060909 221.190132 \nL 341.096786 222.348208 \nL 344.150601 224.406297 \nL 348.222356 227.134375 \nL 350.258233 228.293714 \nL 352.29411 229.256117 \nL 354.329987 230.013755 \nL 356.365864 230.58097 \nL 359.41968 231.137431 \nL 362.473496 231.440457 \nL 366.54525 231.618451 \nL 371.634943 231.68338 \nL 371.634943 231.68338 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-opacity:0.6;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#p549c357b7b)\" d=\"M 67.271307 231.698113 \nL 85.594201 231.610234 \nL 88.648017 231.370531 \nL 90.683894 230.977966 \nL 92.719771 230.224321 \nL 93.73771 229.645596 \nL 94.755649 228.890315 \nL 95.773587 227.925227 \nL 96.791526 226.718332 \nL 97.809464 225.241937 \nL 98.827403 223.47627 \nL 99.845341 221.413413 \nL 101.881219 216.446261 \nL 103.917096 210.642486 \nL 106.970912 201.833865 \nL 107.98885 199.32359 \nL 109.006789 197.224735 \nL 110.024727 195.640832 \nL 111.042666 194.653012 \nL 112.060604 194.313125 \nL 113.078543 194.639225 \nL 114.096482 195.613988 \nL 115.11442 197.18623 \nL 116.132359 199.275368 \nL 117.150297 201.778251 \nL 119.186175 207.551001 \nL 122.23999 216.389403 \nL 124.275867 221.367387 \nL 125.293806 223.436402 \nL 126.311745 225.208216 \nL 127.329683 226.69046 \nL 128.347622 227.902697 \nL 129.36556 228.872496 \nL 130.383499 229.631801 \nL 131.401438 230.213861 \nL 133.437315 230.972304 \nL 135.473192 231.367666 \nL 138.527008 231.609052 \nL 143.616701 231.685633 \nL 149.724332 231.606691 \nL 152.778148 231.407415 \nL 154.814025 231.122633 \nL 156.849902 230.637494 \nL 158.885779 229.878386 \nL 160.921656 228.791627 \nL 162.957534 227.376508 \nL 166.011349 224.846763 \nL 168.047227 223.18001 \nL 170.083104 221.839112 \nL 171.101042 221.372172 \nL 172.118981 221.074606 \nL 173.136919 220.961703 \nL 174.154858 221.038917 \nL 175.172797 221.301216 \nL 176.190735 221.733242 \nL 178.226612 222.999404 \nL 182.298367 226.036542 \nL 183.316305 226.624541 \nL 184.334244 227.035254 \nL 185.352182 227.20436 \nL 186.370121 227.057643 \nL 187.38806 226.507698 \nL 188.405998 225.450964 \nL 189.423937 223.765832 \nL 190.441875 221.312631 \nL 191.459814 217.936347 \nL 192.477753 213.47279 \nL 193.495691 207.758676 \nL 194.51363 200.645692 \nL 195.531568 192.018071 \nL 196.549507 181.812567 \nL 197.567445 170.03904 \nL 199.603323 142.301606 \nL 204.693016 65.734847 \nL 205.710954 53.632951 \nL 206.728893 44.017218 \nL 207.746831 37.368169 \nL 208.76477 34.025569 \nL 209.782708 34.158234 \nL 210.800647 37.747803 \nL 211.818586 44.588271 \nL 212.836524 54.301159 \nL 213.854463 66.364321 \nL 215.89034 94.972917 \nL 218.944156 138.780826 \nL 219.962094 151.125521 \nL 220.980033 161.534304 \nL 221.997971 169.676603 \nL 223.01591 175.327691 \nL 224.033849 178.36495 \nL 225.051787 178.762607 \nL 226.069726 176.586818 \nL 227.087664 171.992064 \nL 228.105603 165.218728 \nL 229.123542 156.590788 \nL 231.159419 135.457418 \nL 234.213234 101.953088 \nL 235.231173 92.593075 \nL 236.249112 85.032006 \nL 237.26705 79.696065 \nL 238.284989 76.894081 \nL 239.302927 76.795436 \nL 240.320866 79.418574 \nL 241.338805 84.631734 \nL 242.356743 92.166024 \nL 243.374682 101.639406 \nL 245.410559 124.507339 \nL 248.464375 161.103076 \nL 250.500252 182.144965 \nL 251.51819 190.860949 \nL 252.536129 198.221698 \nL 253.554068 204.21024 \nL 254.572006 208.872262 \nL 255.589945 212.301914 \nL 256.607883 214.627994 \nL 257.625822 216.001645 \nL 258.64376 216.586108 \nL 259.661699 216.548615 \nL 260.679638 216.054152 \nL 261.697576 215.260626 \nL 264.751392 212.479788 \nL 265.769331 211.800199 \nL 266.787269 211.383206 \nL 267.805208 211.277082 \nL 268.823146 211.505561 \nL 269.841085 212.068618 \nL 270.859023 212.944619 \nL 271.876962 214.09375 \nL 273.912839 216.988676 \nL 277.984594 223.407427 \nL 280.020471 226.106989 \nL 282.056348 228.187941 \nL 283.074286 228.990498 \nL 285.110164 230.171283 \nL 287.146041 230.896601 \nL 289.181918 231.306422 \nL 292.235734 231.581103 \nL 297.325427 231.68705 \nL 308.522751 231.639413 \nL 311.576567 231.490457 \nL 313.612444 231.257204 \nL 315.648321 230.826608 \nL 317.684198 230.09448 \nL 319.720075 228.951136 \nL 321.755953 227.317655 \nL 323.79183 225.195337 \nL 326.845646 221.413626 \nL 328.881523 218.932299 \nL 329.899461 217.852109 \nL 330.9174 216.946855 \nL 331.935338 216.261133 \nL 332.953277 215.830037 \nL 333.971216 215.676181 \nL 334.989154 215.807737 \nL 336.007093 216.217715 \nL 337.025031 216.884578 \nL 338.04297 217.774114 \nL 340.078847 220.039133 \nL 345.16854 226.229168 \nL 347.204417 228.13359 \nL 349.240294 229.535325 \nL 351.276172 230.476479 \nL 353.312049 231.055747 \nL 355.347926 231.383672 \nL 358.401742 231.603949 \nL 363.491435 231.689289 \nL 371.634943 231.698035 \nL 371.634943 231.698035 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p549c357b7b)\" d=\"M 67.271307 231.698113 \nL 85.594201 231.610338 \nL 88.648017 231.370826 \nL 90.683894 230.978494 \nL 92.719771 230.225178 \nL 93.73771 229.646645 \nL 94.755649 228.891562 \nL 95.773587 227.926666 \nL 96.791526 226.719938 \nL 97.809464 225.243662 \nL 98.827403 223.478045 \nL 99.845341 221.415143 \nL 101.881219 216.447548 \nL 103.917096 210.642818 \nL 106.970912 201.832116 \nL 107.98885 199.321137 \nL 109.006789 197.221662 \nL 110.024727 195.637273 \nL 111.042666 194.649144 \nL 112.060604 194.309148 \nL 113.078543 194.635352 \nL 114.096482 195.610421 \nL 115.11442 197.183146 \nL 116.132359 199.272901 \nL 117.150297 201.776486 \nL 119.186175 207.550678 \nL 122.23999 216.390683 \nL 124.275867 221.369114 \nL 125.293806 223.438177 \nL 126.311745 225.209943 \nL 127.329683 226.692069 \nL 128.347622 227.90414 \nL 129.36556 228.873748 \nL 130.383499 229.632854 \nL 131.401438 230.214722 \nL 133.437315 230.972836 \nL 135.473192 231.367964 \nL 138.527008 231.609157 \nL 143.616701 231.685652 \nL 149.724332 231.606769 \nL 152.778148 231.407593 \nL 154.814025 231.122905 \nL 156.849902 230.637863 \nL 158.885779 229.878821 \nL 160.921656 228.792049 \nL 162.957534 227.376796 \nL 166.011349 224.846606 \nL 168.047227 223.17947 \nL 170.083104 221.838237 \nL 171.101042 221.371183 \nL 172.118981 221.073552 \nL 173.136919 220.960641 \nL 174.154858 221.037904 \nL 175.172797 221.300302 \nL 176.190735 221.732468 \nL 178.226612 222.998966 \nL 182.298367 226.036452 \nL 183.316305 226.624372 \nL 184.334244 227.03492 \nL 185.352182 227.20378 \nL 186.370121 227.056744 \nL 187.38806 226.506427 \nL 188.405998 225.449297 \nL 189.423937 223.763781 \nL 190.441875 221.310252 \nL 191.459814 217.933747 \nL 192.477753 213.470124 \nL 193.495691 207.756141 \nL 194.51363 200.643514 \nL 195.531568 192.016485 \nL 196.549507 181.81179 \nL 197.567445 170.039241 \nL 199.603323 142.303935 \nL 204.693016 65.738745 \nL 205.710954 53.636076 \nL 206.728893 44.019308 \nL 207.746831 37.369103 \nL 208.76477 34.025386 \nL 209.782708 34.15714 \nL 210.800647 37.746145 \nL 211.818586 44.586497 \nL 212.836524 54.299758 \nL 213.854463 66.363759 \nL 215.89034 94.975038 \nL 218.944156 138.787043 \nL 219.962094 151.132424 \nL 220.980033 161.541325 \nL 221.997971 169.683092 \nL 223.01591 175.332969 \nL 224.033849 178.36835 \nL 225.051787 178.763518 \nL 226.069726 176.584734 \nL 227.087664 171.986617 \nL 228.105603 165.209733 \nL 229.123542 156.578273 \nL 231.159419 135.438936 \nL 234.213234 101.932086 \nL 235.231173 92.573728 \nL 236.249112 85.015689 \nL 237.26705 79.684084 \nL 238.284989 76.887562 \nL 239.302927 76.795228 \nL 240.320866 79.425167 \nL 241.338805 84.645211 \nL 242.356743 92.186039 \nL 243.374682 101.665213 \nL 245.410559 124.541186 \nL 248.464375 161.137691 \nL 250.500252 182.172946 \nL 251.51819 190.884012 \nL 252.536129 198.239105 \nL 253.554068 204.22151 \nL 254.572006 208.877164 \nL 255.589945 212.300449 \nL 256.607883 214.620381 \nL 257.625822 215.988306 \nL 258.64376 216.567646 \nL 259.661699 216.525801 \nL 260.679638 216.027901 \nL 261.697576 215.231971 \nL 264.751392 212.450663 \nL 265.769331 211.773095 \nL 266.787269 211.359035 \nL 267.805208 211.25657 \nL 268.823146 211.48921 \nL 269.841085 212.056684 \nL 270.859023 212.93711 \nL 271.876962 214.090442 \nL 273.912839 216.992357 \nL 277.984594 223.41716 \nL 280.020471 226.116263 \nL 282.056348 228.195518 \nL 283.074286 228.997034 \nL 285.110164 230.175765 \nL 287.146041 230.899385 \nL 289.181918 231.307998 \nL 292.235734 231.581674 \nL 297.325427 231.68712 \nL 308.522751 231.639477 \nL 311.576567 231.490627 \nL 313.612444 231.257494 \nL 315.648321 230.827055 \nL 317.684198 230.095095 \nL 319.720075 228.951875 \nL 321.755953 227.318397 \nL 323.79183 225.195893 \nL 326.845646 221.413503 \nL 328.881523 218.931558 \nL 329.899461 217.851066 \nL 330.9174 216.945545 \nL 331.935338 216.259613 \nL 332.953277 215.828381 \nL 333.971216 215.674477 \nL 334.989154 215.806075 \nL 336.007093 216.216182 \nL 337.025031 216.883249 \nL 338.04297 217.773048 \nL 340.078847 220.038682 \nL 345.16854 226.229837 \nL 347.204417 228.13435 \nL 349.240294 229.536016 \nL 351.276172 230.477018 \nL 353.312049 231.056118 \nL 355.347926 231.383902 \nL 358.401742 231.604041 \nL 363.491435 231.689302 \nL 371.634943 231.698035 \nL 371.634943 231.698035 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 52.053125 241.58175 \nL 52.053125 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 386.853125 241.58175 \nL 386.853125 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 52.053125 241.58175 \nL 386.853125 241.58175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 52.053125 24.14175 \nL 386.853125 24.14175 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"text_13\">\n    <!-- Estimated distribution with different components -->\n    <defs>\n     <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n     <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n     <path d=\"M 4.203125 54.6875 \nL 13.1875 54.6875 \nL 24.421875 12.015625 \nL 35.59375 54.6875 \nL 46.1875 54.6875 \nL 57.421875 12.015625 \nL 68.609375 54.6875 \nL 77.59375 54.6875 \nL 63.28125 0 \nL 52.6875 0 \nL 40.921875 44.828125 \nL 29.109375 0 \nL 18.5 0 \nz\n\" id=\"DejaVuSans-119\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n     <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n    </defs>\n    <g style=\"fill:#ffffff;\" transform=\"translate(42.45575 18.14175)scale(0.144 -0.144)\">\n     <use xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"63.183594\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"115.283203\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"154.492188\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"182.275391\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"279.6875\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"340.966797\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"380.175781\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"441.699219\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"505.175781\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"536.962891\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"600.439453\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"628.222656\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"680.322266\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"719.53125\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"760.644531\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"788.427734\" xlink:href=\"#DejaVuSans-98\"/>\n     <use x=\"851.904297\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"915.283203\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"954.492188\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"982.275391\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1043.457031\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1106.835938\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1138.623047\" xlink:href=\"#DejaVuSans-119\"/>\n     <use x=\"1220.410156\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1248.193359\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1287.402344\" xlink:href=\"#DejaVuSans-104\"/>\n     <use x=\"1350.78125\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1382.568359\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"1446.044922\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1473.828125\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"1509.033203\" xlink:href=\"#DejaVuSans-102\"/>\n     <use x=\"1544.238281\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1605.761719\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"1644.625\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1706.148438\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"1769.527344\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1808.736328\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1840.523438\" xlink:href=\"#DejaVuSans-99\"/>\n     <use x=\"1895.503906\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1956.685547\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"2054.097656\" xlink:href=\"#DejaVuSans-112\"/>\n     <use x=\"2117.574219\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"2178.755859\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2242.134766\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"2303.658203\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"2367.037109\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"2406.246094\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_28\">\n     <path d=\"M 285.01875 37.240187 \nL 305.01875 37.240187 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-opacity:0.6;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_29\"/>\n    <g id=\"text_14\">\n     <!-- $K = 6$ -->\n     <defs>\n      <path d=\"M 4.6875 0 \nQ 3.71875 0 3.71875 1.3125 \nQ 3.765625 1.5625 3.90625 2.171875 \nQ 4.046875 2.78125 4.3125 3.140625 \nQ 4.59375 3.515625 4.984375 3.515625 \nQ 11.078125 3.515625 13.484375 4.203125 \nQ 14.796875 4.640625 15.375 6.890625 \nL 29.109375 61.8125 \nQ 29.296875 62.796875 29.296875 63.1875 \nQ 29.296875 64.265625 28.078125 64.40625 \nQ 26.21875 64.796875 20.90625 64.796875 \nQ 19.921875 64.796875 19.921875 66.109375 \nQ 20.265625 67.390625 20.453125 67.84375 \nQ 20.65625 68.3125 21.578125 68.3125 \nL 48.484375 68.3125 \nQ 49.515625 68.3125 49.515625 67 \nQ 49.46875 66.75 49.3125 66.15625 \nQ 49.171875 65.578125 48.921875 65.1875 \nQ 48.6875 64.796875 48.1875 64.796875 \nQ 42.09375 64.796875 39.703125 64.109375 \nQ 38.375 63.625 37.796875 61.375 \nL 29.6875 29 \nL 68.890625 59.28125 \nQ 69 59.46875 70.140625 60.609375 \nQ 71.296875 61.765625 71.296875 62.890625 \nQ 71.296875 64.796875 67.921875 64.796875 \nQ 66.890625 64.796875 66.890625 66.109375 \nQ 67.09375 66.890625 67.203125 67.328125 \nQ 67.328125 67.78125 67.640625 68.046875 \nQ 67.96875 68.3125 68.609375 68.3125 \nL 87.984375 68.3125 \nQ 88.53125 68.3125 88.765625 67.921875 \nQ 89.015625 67.53125 89.015625 67 \nQ 88.96875 66.75 88.796875 66.109375 \nQ 88.625 65.484375 88.359375 65.140625 \nQ 88.09375 64.796875 87.59375 64.796875 \nQ 80.28125 64.796875 71.578125 58.015625 \nQ 71.53125 57.953125 71.4375 57.921875 \nQ 71.34375 57.90625 71.234375 57.875 \nQ 71.140625 57.859375 71.09375 57.8125 \nL 50.484375 41.796875 \nL 65.484375 6.6875 \nQ 66.84375 4.5 68.40625 4 \nQ 69.96875 3.515625 73.1875 3.515625 \nQ 74.21875 3.515625 74.21875 2.203125 \nQ 73.921875 1.03125 73.625 0.515625 \nQ 73.34375 0 72.515625 0 \nL 49.3125 0 \nQ 48.390625 0 48.390625 1.3125 \nQ 48.53125 2.34375 48.71875 2.921875 \nQ 48.921875 3.515625 49.703125 3.515625 \nQ 52.25 3.515625 54.03125 4.03125 \nQ 55.8125 4.546875 55.8125 6.390625 \nQ 55.8125 7.078125 55.71875 7.421875 \nL 43.3125 36.28125 \nL 28.71875 25 \nL 24.125 6.5 \nQ 23.875 5.28125 23.875 5.078125 \nQ 23.875 4.046875 25.09375 3.90625 \nQ 27 3.515625 32.328125 3.515625 \nQ 33.296875 3.515625 33.296875 2.203125 \nQ 32.953125 0.78125 32.75 0.390625 \nQ 32.5625 0 31.59375 0 \nz\n\" id=\"Cmmi10-75\"/>\n      <path d=\"M 7.515625 13.28125 \nQ 6.6875 13.28125 6.140625 13.90625 \nQ 5.609375 14.546875 5.609375 15.28125 \nQ 5.609375 16.109375 6.140625 16.6875 \nQ 6.6875 17.28125 7.515625 17.28125 \nL 70.3125 17.28125 \nQ 71.046875 17.28125 71.578125 16.6875 \nQ 72.125 16.109375 72.125 15.28125 \nQ 72.125 14.546875 71.578125 13.90625 \nQ 71.046875 13.28125 70.3125 13.28125 \nz\nM 7.515625 32.71875 \nQ 6.6875 32.71875 6.140625 33.296875 \nQ 5.609375 33.890625 5.609375 34.71875 \nQ 5.609375 35.453125 6.140625 36.078125 \nQ 6.6875 36.71875 7.515625 36.71875 \nL 70.3125 36.71875 \nQ 71.046875 36.71875 71.578125 36.078125 \nQ 72.125 35.453125 72.125 34.71875 \nQ 72.125 33.890625 71.578125 33.296875 \nQ 71.046875 32.71875 70.3125 32.71875 \nz\n\" id=\"Cmr10-61\"/>\n      <path d=\"M 25 -2.203125 \nQ 18.796875 -2.203125 14.640625 1.09375 \nQ 10.5 4.390625 8.21875 9.640625 \nQ 5.953125 14.890625 5.078125 20.65625 \nQ 4.203125 26.421875 4.203125 32.328125 \nQ 4.203125 40.234375 7.28125 48.1875 \nQ 10.359375 56.15625 16.328125 61.375 \nQ 22.3125 66.609375 30.515625 66.609375 \nQ 33.9375 66.609375 36.890625 65.3125 \nQ 39.84375 64.015625 41.53125 61.5 \nQ 43.21875 58.984375 43.21875 55.421875 \nQ 43.21875 53.375 41.828125 51.984375 \nQ 40.4375 50.59375 38.375 50.59375 \nQ 36.421875 50.59375 35 52 \nQ 33.59375 53.421875 33.59375 55.421875 \nQ 33.59375 57.375 35 58.78125 \nQ 36.421875 60.203125 38.375 60.203125 \nL 38.921875 60.203125 \nQ 37.640625 62.015625 35.328125 62.859375 \nQ 33.015625 63.71875 30.515625 63.71875 \nQ 27.484375 63.71875 24.921875 62.390625 \nQ 22.359375 61.078125 20.3125 58.828125 \nQ 18.265625 56.59375 16.890625 53.875 \nQ 15.53125 51.171875 14.765625 47.703125 \nQ 14.015625 44.234375 13.8125 41.203125 \nQ 13.625 38.1875 13.625 33.59375 \nQ 15.375 37.703125 18.59375 40.3125 \nQ 21.828125 42.921875 25.875 42.921875 \nQ 30.328125 42.921875 33.984375 41.109375 \nQ 37.640625 39.3125 40.28125 36.109375 \nQ 42.921875 32.90625 44.3125 28.796875 \nQ 45.703125 24.703125 45.703125 20.515625 \nQ 45.703125 14.65625 43.09375 9.34375 \nQ 40.484375 4.046875 35.734375 0.921875 \nQ 31 -2.203125 25 -2.203125 \nz\nM 25 0.984375 \nQ 28.859375 0.984375 31.203125 2.734375 \nQ 33.546875 4.5 34.640625 7.390625 \nQ 35.75 10.296875 36.015625 13.25 \nQ 36.28125 16.21875 36.28125 20.515625 \nQ 36.28125 26.171875 35.734375 30.171875 \nQ 35.203125 34.1875 32.8125 37.234375 \nQ 30.421875 40.28125 25.484375 40.28125 \nQ 21.4375 40.28125 18.828125 37.546875 \nQ 16.21875 34.8125 15.015625 30.640625 \nQ 13.8125 26.46875 13.8125 22.609375 \nQ 13.8125 21.296875 13.921875 20.609375 \nQ 13.921875 20.453125 13.890625 20.359375 \nQ 13.875 20.265625 13.8125 20.125 \nQ 13.8125 15.828125 14.6875 11.421875 \nQ 15.578125 7.03125 18.0625 4 \nQ 20.5625 0.984375 25 0.984375 \nz\n\" id=\"Cmr10-54\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(313.01875 40.740187)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-54\"/>\n     </g>\n    </g>\n    <g id=\"line2d_30\">\n     <path d=\"M 285.01875 51.918312 \nL 305.01875 51.918312 \n\" style=\"fill:none;stroke:#0000ff;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_31\"/>\n    <g id=\"text_15\">\n     <!-- $K = 7$ -->\n     <defs>\n      <path d=\"M 17.390625 2.59375 \nQ 17.390625 8.15625 18.359375 13.46875 \nQ 19.34375 18.796875 21.21875 24 \nQ 23.09375 29.203125 25.75 34.203125 \nQ 28.421875 39.203125 31.59375 43.609375 \nL 40.71875 56.296875 \nL 29.296875 56.296875 \nQ 11.53125 56.296875 10.984375 55.8125 \nQ 9.671875 54.203125 8.5 46.578125 \nL 5.609375 46.578125 \nL 8.890625 67.578125 \nL 11.8125 67.578125 \nL 11.8125 67.28125 \nQ 11.8125 65.484375 17.921875 64.9375 \nQ 24.03125 64.40625 29.890625 64.40625 \nL 48.484375 64.40625 \nL 48.484375 61.8125 \nQ 48.484375 61.71875 48.453125 61.671875 \nQ 48.4375 61.625 48.390625 61.53125 \nL 34.625 42.1875 \nQ 29.546875 34.671875 28.265625 25.484375 \nQ 27 16.3125 27 2.59375 \nQ 27 0.640625 25.578125 -0.78125 \nQ 24.171875 -2.203125 22.21875 -2.203125 \nQ 20.21875 -2.203125 18.796875 -0.78125 \nQ 17.390625 0.640625 17.390625 2.59375 \nz\n\" id=\"Cmr10-55\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(313.01875 55.418312)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-55\"/>\n     </g>\n    </g>\n    <g id=\"line2d_32\">\n     <path d=\"M 285.01875 66.596437 \nL 305.01875 66.596437 \n\" style=\"fill:none;stroke:#ff0000;stroke-dasharray:7.4,3.2;stroke-dashoffset:0;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_33\"/>\n    <g id=\"text_16\">\n     <!-- $K = 8$ -->\n     <defs>\n      <path d=\"M 4.203125 15.1875 \nQ 4.203125 21.1875 8.15625 25.796875 \nQ 12.109375 30.421875 18.3125 33.5 \nL 14.59375 35.890625 \nQ 11.1875 38.140625 9.03125 41.875 \nQ 6.890625 45.609375 6.890625 49.703125 \nQ 6.890625 54.5 9.40625 58.34375 \nQ 11.921875 62.203125 16.09375 64.40625 \nQ 20.265625 66.609375 25 66.609375 \nQ 29.4375 66.609375 33.5625 64.796875 \nQ 37.703125 62.984375 40.359375 59.609375 \nQ 43.015625 56.25 43.015625 51.609375 \nQ 43.015625 48.25 41.421875 45.359375 \nQ 39.84375 42.484375 37.078125 40.1875 \nQ 34.328125 37.890625 31.203125 36.28125 \nL 36.921875 32.625 \nQ 40.875 30.03125 43.28125 25.828125 \nQ 45.703125 21.625 45.703125 17 \nQ 45.703125 11.578125 42.796875 7.125 \nQ 39.890625 2.6875 35.109375 0.234375 \nQ 30.328125 -2.203125 25 -2.203125 \nQ 19.828125 -2.203125 15.015625 -0.09375 \nQ 10.203125 2 7.203125 5.984375 \nQ 4.203125 9.96875 4.203125 15.1875 \nz\nM 9.625 15.1875 \nQ 9.625 11.234375 11.796875 7.953125 \nQ 13.96875 4.6875 17.53125 2.828125 \nQ 21.09375 0.984375 25 0.984375 \nQ 30.8125 0.984375 35.546875 4.375 \nQ 40.28125 7.765625 40.28125 13.375 \nQ 40.28125 15.28125 39.515625 17.15625 \nQ 38.765625 19.046875 37.421875 20.578125 \nQ 36.078125 22.125 34.421875 23.09375 \nL 21 31.78125 \nQ 17.875 30.125 15.25 27.578125 \nQ 12.640625 25.046875 11.125 21.875 \nQ 9.625 18.703125 9.625 15.1875 \nz\nM 16.5 45.703125 \nL 28.609375 37.890625 \nQ 32.8125 40.328125 35.5 43.796875 \nQ 38.1875 47.265625 38.1875 51.609375 \nQ 38.1875 54.984375 36.296875 57.78125 \nQ 34.421875 60.59375 31.390625 62.15625 \nQ 28.375 63.71875 24.90625 63.71875 \nQ 21.875 63.71875 18.796875 62.546875 \nQ 15.71875 61.375 13.71875 59.046875 \nQ 11.71875 56.734375 11.71875 53.609375 \nQ 11.71875 48.921875 16.5 45.703125 \nz\n\" id=\"Cmr10-56\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(313.01875 70.096437)scale(0.1 -0.1)\">\n      <use transform=\"translate(0 0.6875)\" xlink:href=\"#Cmmi10-75\"/>\n      <use transform=\"translate(102.470703 0.6875)\" xlink:href=\"#Cmr10-61\"/>\n      <use transform=\"translate(197.714844 0.6875)\" xlink:href=\"#Cmr10-56\"/>\n     </g>\n    </g>\n    <g id=\"PathCollection_2\">\n     <g>\n      <use style=\"fill:#348abd;stroke:#348abd;stroke-width:0.5;\" x=\"295.01875\" xlink:href=\"#m6fbaba3785\" y=\"82.149563\"/>\n     </g>\n    </g>\n    <g id=\"text_17\">\n     <!-- Original data -->\n     <defs>\n      <path d=\"M 39.40625 66.21875 \nQ 28.65625 66.21875 22.328125 58.203125 \nQ 16.015625 50.203125 16.015625 36.375 \nQ 16.015625 22.609375 22.328125 14.59375 \nQ 28.65625 6.59375 39.40625 6.59375 \nQ 50.140625 6.59375 56.421875 14.59375 \nQ 62.703125 22.609375 62.703125 36.375 \nQ 62.703125 50.203125 56.421875 58.203125 \nQ 50.140625 66.21875 39.40625 66.21875 \nz\nM 39.40625 74.21875 \nQ 54.734375 74.21875 63.90625 63.9375 \nQ 73.09375 53.65625 73.09375 36.375 \nQ 73.09375 19.140625 63.90625 8.859375 \nQ 54.734375 -1.421875 39.40625 -1.421875 \nQ 24.03125 -1.421875 14.8125 8.828125 \nQ 5.609375 19.09375 5.609375 36.375 \nQ 5.609375 53.65625 14.8125 63.9375 \nQ 24.03125 74.21875 39.40625 74.21875 \nz\n\" id=\"DejaVuSans-79\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(313.01875 84.774563)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-79\"/>\n      <use x=\"78.710938\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"119.824219\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"147.607422\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"211.083984\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"238.867188\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"302.246094\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"363.525391\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"391.308594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"423.095703\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"486.572266\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"547.851562\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"587.060547\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p549c357b7b\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"52.053125\" y=\"24.14175\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjEAAAFsCAYAAAA9l+hAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydeXxM1/vH39kJIishllhCKEWFWmpLgm5KUVraovpV9Ftba29L/apUi1ZraZVYSkVbRb/W2mNpia1iFyJERPaI7HJ+f4wZM2YmmYkkd2TO+/U6Lzf3nnvOcz/3udcz557FBhBIJBKJRCKRPGHYKm2ARCKRSCQSSVGQQYxEIpFIJJInEhnESCQSiUQieSKRQYxEIpFIJJInEhnESCQSiUQieSKRQYxEIpFIJJInEhnESCQSiUQieSKRQYxEIpFIJJInEhnESCQSiUQieSKRQUwp0alTJ4QQTJs2TWlTFKM4NahduzZCCEJCQnT2h4SEIISgdu3aj11HUZg2bRpCCDp16qSzXwjB3r17FbFJjdLalASDBg1CCMGgQYPMOq+07ochzY35LkC9evX47bffuHXrFvfv3yc5OVlzrEqVKixfvpzo6Gjy8vIQQlC5cuUSvwaJxJKxuiBGCFFoatasmdnlFvRismT27t2LEHLlCTVPsh7GAihr5Nq1a1y7dk1pM8zCxsaGP/74g5dffpktW7YwY8YMZs+erTkeEhLCoEGDOHDgAJ9//jnTp08nKytLQYsfD0sI7CUlR2ndX/sSr8FCmT59utFjt2/fLvb6jh49ir+/PwkJCcVetuQhkydPZvbs2cTExChS//fff8+6deuIjo5WpP6CUFqbkuCPP/7g77//JjY2VmlTTCYmJgZ/f39SU1N19tetW5emTZvy448/8t577+kcc3BwoHv37uzatYs333yzNM2VSCwaqw1iPvvss1KtLzMzk4sXL5ZqndbI7du3SyQINZXExEQSExMVq78glNamJEhLSyMtLU1pM8wiLy/P4LugevXqANy6dUvvmLe3N3Z2dgaPSSTWjrCmpMbU/C4uLuLTTz8VERERIi0tTdy9e1dcu3ZNrF+/XjzzzDMCENOmTRPGGDRokABEp06dhBBCTJs2Taf8vXv3CiGEsLe3F5988om4cuWKyMzMFBcuXBDvvvuuJt/IkSPFmTNnREZGhrhx44aYNm2asLGx0bN30KBB4rfffhORkZEiIyNDpKamioMHD4q33npLJ1/t2rWN2rx3716dvD4+PuK7774TkZGRIisrSyQkJIhNmzaJgIAAg5pVqVJF/PTTT+L27dsiIyNDnDx5UgwaNMioBgWlihUrirlz54obN26IzMxMcf78eTFu3DhRp04dIYQQISEhOvlDQkKEEELUrl1bZ3+vXr3Enj17RGxsrMjKyhKxsbEiLCxMjBw50iw9rl27Jq5duyZcXFzEN998I6KiokROTo7mmtS+0KlTJz2/27t3r6hWrZpYtWqViIuLExkZGSI8PFy88cYbBu+jtv8Y8uNH7TJGYdoAol+/fuLAgQMiJSVFZGRkiDNnzojJkycLJycnvbxqDcqXLy/mzJkjrl+/LrKyssTly5fFxIkTTb63a9euFUIIUa9ePZ39a9asEUIIsWvXLj1fyMnJEfv37zeqk9rHDKHtK2r9PDw8xA8//CBu3bolsrKyREREhHjnnXfMfq8EBQWJAwcOiPT0dJGYmCj++OMP4e/vb1Bzta89ao8hpk2bZvTePur7r7/+utizZ49ISkoSmZmZ4ty5c2Lq1KnC0dHRqP9Uq1ZNLF++XNy6dUvk5eXp+Fvr1q3Fr7/+KmJjY0V2draIjo4WS5YsEdWqVdMrT/0es7OzE5MnTxaXLl0SWVlZIjo6WsyZM0fHBvU9M3a9pujt5uYmPv/8c3HmzBlx7949kZKSIk6dOiVmzZolnJ2ddfL6+fmJVatWiZiYGJGdnS1iYmLEqlWrhJ+fn1652s/v66+/LsLDw8W9e/dETEyMmDt3ruY6goODxb59+0RaWppISkoSK1euFG5ubkafFRcXF/Hdd9+JmzdviszMTHH27FnxwQcfGL2+0ngelb6/hb2TTU1W2xJjKtu3b6dt27YcPnyYpUuXkpeXR82aNencuTNt27blxIkT7Nu3j2+++YYxY8Zw6tQpNm7cqDn/1KlTJtWzbt06nn32WbZu3Upubi59+/Zl6dKl5OTkEBAQwIABA/jf//7Hrl276NGjB9OnTyczM5M5c+bolLN48WLOnTvHgQMHiI2NxdPTk5deeolVq1bh7+/P1KlTAUhJSWH69OkMHjwYX19fnc9rUVFRmu0WLVqwc+dO3N3d2bFjBxs2bMDT05NevXpx8OBBXn31VbZt26bJ7+7uzuHDh6lXrx5hYWEcPHiQatWqsXjxYv766y+ztHd0dGT37t20bt2aU6dOsWbNGlxdXfn444/N6vcxfPhwFi9eTGxsLJs3byYhIYEqVarw9NNPM3jwYBYtWmSyHgBOTk7s2bMHNzc3duzYQXp6ul4eQ7i5uXHo0CFSU1MJCQnB1dWVfv36sXbtWnx8fPj6669NvqZH+eabb+jVqxedO3dmxYoVJtmjZvbs2UycOJE7d+6wZs0a7t27x4svvsgXX3zB888/T3BwMLm5uTrnODg4sHPnTqpXr862bdvIy8ujV69ezJ49m/Llyxf4uVbN7t27eeONNwgKCiIyMlKzv0uXLgC0a9cOJycnsrOzAVXHcAcHB3bv3m20zKioKKZPn86YMWM0uqh59Fl0dXXl0KFD5OTk8Ntvv1GuXDn69u3LsmXLyM/PZ8WKFYVeA0CfPn0IDQ0lJyeH0NBQYmNjee655zhy5AinT582qYzp06fj6+vL4MGD2bdvH/v27QNg3759pKSk4Ovrq/d+0b6en376iaFDhxIdHc3vv/9Oamoqbdq04fPPPycoKIhu3bqRl5enU6eHhwdHjhzh7t27/Pbbb9jY2HDnzh0ABg8ezNKlS8nKymLz5s3cvHkTPz8/3n33XXr06EGbNm24ceOG3nWsXbuWDh06sG3bNtLS0njxxRcZP348VapUYfDgwRq7p0+fzvTp04mKitLRWX3dBeHr68vevXvx9fUlPDycxYsXY2trS8OGDRk7dixLlizh+vXrALRu3Zq//vqLihUrsmnTJs6fP0+jRo0YOHAgPXv2pGvXrhw9elSvjg8++IAXXniBjRs3sm/fPrp168a4ceNwc3Nj27ZtrF69mi1btrBkyRLatWvH22+/jZeXFy+++KJeWY6OjuzatQtXV1fWrVuHo6Mjffr0YcGCBTRs2JD//ve/OvlL43lU+v6a8k42B7N/dTzJSTsiNJS0I9emTZsKIYT4448/9MqxsbERrq6umr8N/brSToW1xBw9elRUrlxZs79OnToiOztbJCcni6tXr4rq1atrjrm4uIg7d+6IO3fuCDs7O53y6tatq1e3o6Oj2LNnj8jJyRE+Pj4G6zdks52dnbh8+bLIyMgQ7du31zlWrVo1cfPmTREbG6vz6+CHH34QQggxb948nfwtW7YUOTk5Zv3amjx5shBCiN9++02n1cnX11ckJiYa1NvQL9/jx4+LrKws4eXlpVeHh4eHyXrAwxaPv/76S+8XHxTcEiOEEKGhoQavJTs7W9SpU0ez39yWmILqLkibdu3aCSGEuHbtmo4+dnZ24n//+58QQogpU6YY1GDLli2iXLlymv1eXl4iOTlZpKSkCHt7+0Lvr7o1LTQ0VLOvcePGQgghduzYIYQQIjAwUHNs3rx5QgghnnvuuUJ1Uv86Lew9sHTpUmFra6vZ36hRI5GbmyvOnTtnko9WqFBBJCQkiJycHNGyZUudY2p7H9Xc2LuioJbKgt4vag3Wr1+v90td7ROjR482eP0rV67Ue4f4+fmJ7OxscfHiReHt7a1zrEuXLiIvL0/vnah+bsLDw3VaJJydncXly5dFXl6eXlmGfNiUdPDgQSGEEJMmTTL4PKs1sLGxEefPnxdCCNGvXz+dfK+//roQQogLFy7oPI9qvVJSUoS/v79mv6Ojo4iIiBB5eXkiKSlJdOzYUae87du3CyGEaNasmcFnJSwsTKe1ws3NTVy5ckUIIUSHDh1K9Xm0hPtrzjvZhGSeAz3pqTCSk5M1eZs0aSKEEGLNmjWFlvu4QUyXLl30ztm9e7cQQoghQ4boHVu2bJkQQohatWqZdN29e/cWQgi9z0oF/af9yiuvCCGE+PLLLw0eHzVqlBBCiBdffFEAwt7eXqSnp4vU1FTh4uKil1/9n6ipQcylS5dEXl6ewcBM/bIxJYgJDw8X6enpOkGnsWRqEPPoy+pRuwwFMbm5ucLX19foOZ9++qlmX2kFMUuXLhVCCDF06FC9/A0aNBB5eXkiMjLSoAaG7suKFSuEEEI89dRTJt3jq1evijt37mj+/uCDD4QQQrRq1Urk5eWJmTNnao6dPn1a3L17Vzg4OBSqkylBTHp6uqhYsaLesX379gkhhMFjj6YBAwYIIYRYsWKF3jEXFxeRnJysp3lxBzEnTpwQ2dnZOj+C1MnW1lbEx8eLo0eP6l2/sf9E1MHXCy+8YPCaN2zYIPLy8kSlSpX0nhvtoFOdpk+fLoQQ4qWXXirUhwtLzzzzjBBCiBMnThj8nK6d2rdvL4RQBRCGjquDIe0gQv0MffbZZ3r5P/nkEyGEKvB79Nhbb70lhBDi7bffNvisaAfej/ru8uXLNftK43m0hPtrzju5sGS1n5NsbGwKzXPu3DlOnDjBgAEDqFmzJps3b+bQoUOEh4frNec9LsePH9fbp+7EV9CxGjVq6IyEqVmzJhMnTiQoKIhatWrh7Oysc56Pj4/JNrVt2xZQNd8amtvFz88PAH9/f7Zu3Yq/vz8VKlTgwIEDBjtb7tu3T9PkWBgVK1bEz8+P6Ohorl69arAsU1mzZg3z5s3j7NmzrFu3jgMHDnDo0KEijxTLysoy+TOBNtHR0QY/86ivpUWLFkWy53FQ12loKOSlS5e4efMmdevWpXLlyjqjaZKTkw3eF3UTtJubm0n179mzh6FDh/L000/z77//EhgYSHR0NMeOHePEiRMEBQUxdepUPD09adKkCTt37iy2Z+/SpUukp6cbvQZXV1eDx7V55plnANi/f7/esbS0NE6dOkXnzp0f31gjlC9fnmbNmpGQkKD5hPYo2dnZ+Pv76+2PiooiPj5eb7/6ue/cuTOtW7fWO16lShXs7Ozw8/PjxIkTOsfCw8P18pvrEwXRpk0bAHbs2FHoVAgF+TbArl27aN++Pc888wxhYWE6xx7nffwoubm5HD58WG+/oee+NJ5HS7i/xflOttogxhTy8/MJCgri008/pW/fvnz11VcApKamsmLFCqZMmUJGRkax1GXoP331N+xHh2JqH3NwcNDsq1OnDkePHsXNzY2wsDB27txJamoq9+/f13xvd3JyMtkmDw8PAPr161dgvooVKwJoJt6Ki4szmM+ckTHFWdb8+fNJSEhg5MiRjB49mnHjxpGfn8/evXsZP348J0+eNLmsgmwq6nnqa1Fi4jJ1ncb0jI2NpXbt2novTUM+CQ/90s7OzqT6d+/ezdChQwkKCiIiIoJOnTpp+nzs3r2bjz76CBcXFwIDA7G1tS2wP4y5FMc1FKefFgU3NzdsbW2pUqWKSf2QtDFmm/q5nzBhQoHnq597bQp6j5nqEwXh6uoKYNI0Aab4tnY+bQp655r6PlaTkJBAfn6+3n5Dz31pPI+WcH+L851sdZPdmUtKSgrjxo2jVq1a1K9fn6FDh3Lx4kVGjx5tduejkmbcuHF4enoydOhQunTpwujRo/n000/57LPP2LFjh9nlqR+MV155BRsbG6NpxowZOvmrVq1qsDxvb2+z6y6OsgBWr15N27Zt8fDw4MUXX2TZsmV07tyZnTt34unpaVZZhf0CNEZh16L9IlK/9Ozt9X9nFGewo67TmJ7VqlXTs6042bNnDwBBQUG0bNkSNzc3TaCye/du7O3t6dKlC0FBQTr5LYXi9tOi1n/ixIkCn1FDLc/G/FhdpouLS4HlHThwoOQuzAgpKSmAaS3KSvu2Gk9PT2xt9f+rNfTcl4bNlnJ/i+udLIMYM4iMjGT58uV06tSJu3fv8uqrr2qO3b9/HyieXxtFpX79+gD8/vvveseMjeZR223oIfv7778B6NChg0n1X7hwgXv37tG8eXNcXFz0jpvTrJ6ens7ly5fx8fGhbt26j1WWNqmpqWzbto1hw4axYsUKPD09da6vID0el1q1ahmc8l99Ldq/PtTTzdesWVMvf0BAgMHyi+KD6joN6VmvXj1q1KjB1atXS+xFHxcXx9mzZ+nQoQPdu3cHHgYqBw8eJCsri6CgIAIDA0lKSjL5F9r9+/dL5VlUN7cber5cXFxo3rx5idZ/7949IiIieOqpp4rlcw2Y/9wXlaLcI7VtXbt2LTRvQb6tvf/RTybFjYODA+3atTNav7ZPl8bzaGn3t7B3cmHIIKYAfH19ady4sd5+Nzc3nJycdKb8Tk5OJj8/3+B/OqWFur+Feoiqmm7duvHuu+8aPEc9MZshuzdt2sSVK1d4//33eeGFFwye36ZNG8qXLw+omhXXrFmDi4uLXtN2y5YtGThwoDmXQ0hICHZ2dnz55Zc6vyR9fX0ZNWqUyeV0797d4MNUpUoVAJ37WJAej4u9vb3Ra8nNzeXnn3/W7A8PD+f+/fsMGDBAoy+ofO/RYfWPY/vy5csB+Pjjj3V+/dja2vL1119jZ2fHsmXLTC6vKOzZswcXFxf++9//cu7cOU0zf1ZWFkeOHKFfv37Ur1+fffv2mdwKlpiYiJeXl1mfT4vCpk2bSEpKYsCAAbRs2VLn2PTp0zWfP0qSefPm4eTkxPLlyw220rm6uprV3+r7778nJyeH+fPna/q9aePg4MBzzz33WDaD6h6Z+5ydOHGCQ4cO0bJlSz766CO94+7u7pp7fujQIS5cuECHDh3o06ePTr4+ffrQqVMnLl68yMGDB4t+ESYya9YsHB0dNX+7ubnx8ccfA+gsVVMaz6Ml3F9z3smFYbV9YgpahHDjxo2cPn2aZs2asXHjRsLDw4mIiODWrVt4eXnRs2dPHB0d+fLLLzXn3Lt3j3/++YeOHTuyevVqLl++zP3799m8eTNnzpwpjUti0aJFDBkyhPXr1/P7778TExNDkyZNeP7551m/fj2vv/663jm7d++mX79+bNiwgW3btpGZmcn169f5+eefycvLo3fv3uzYsYOtW7dy6NAhTp06RUZGBjVr1qRVq1bUq1cPb29vMjMzAZgyZQpBQUGMHTuWgIAAzTwx/fv3Z+vWrfTs2dPk65k7dy69evWib9++nDhxgh07dlC5cmX69+/PgQMHTC5r3bp1ZGVlcfDgQaKiorCxsaFDhw60bt2a48ePs2vXLpP0eFxOnz6tqXPnzp2aa3Fzc2P8+PE6HfNu377NqlWrGDJkCKdOnWLLli24uLjw4osvcuDAAU2HUm327t3L/fv3mTVrFk2bNtW05sycOdOoTUeOHOHLL79k4sSJRERE8Ntvv3Hv3j1eeOEFmjZtSlhYmKYvWEmxe/duPvjgA6pWrcr69ev1jqmDcnP6w6jnF9q2bRthYWHk5ORw+vRp/ve//xWr7ffu3WPYsGGEhoYSFhamM09MkyZN2L9/f4mvZRUSEkLLli15//33iYyMZMeOHURHR+Pu7k6dOnXo2LEjISEhjBgxwqTyLl68yDvvvMPy5cs5e/Ys27dv59KlSzg4OFCrVi06dOhAfHw8jRo1eiy71fMEbdy4kZMnT5KXl8eBAwf0Otk+yptvvsm+ffv46quv6NevH/v378fGxgY/Pz+6deuGv7+/Zp6YQYMG8ddffxEaGsqmTZu4cOECDRs2pFevXqSlpfH222+X+Fppt27dwtHRkYiICDZv3oyDgwN9+/alevXqLFy4UOd6S+N5tIT7a8472RQee4jTk5RMQT1c08fHR8ycOVMcPHhQM6vgjRs3xNatW8Xzzz+vV3a9evXE5s2bRUJCgrh//75OWYUNsTZka0EzrBobTtu2bVuxe/dukZSUJNLS0kRYWJjo2bOn0fptbW3FzJkzRWRkpGYel0eHxXl5eYlZs2ZpZse8e/euuHTpkvj111/FwIED9eaZqFq1qli2bJm4c+fOY8/YW6lSJTF37lzNTJdFmbH3vffeExs2bBCRkZHi3r17IjExUZw4cUKMHz9ebxhtYXoUNnTXlBl7V69eLeLi4kRmZqY4fvy4wRl7AeHg4CBmz54tbty4IbKzs8Xly5fFpEmThJ2dndHhiwMHDhQnT54UGRkZGn82xZ/69+8vwsLCRFpamsjMzBQRERFiypQpBc4Qas71F5QqV64s8vLyhBBC9OrVS+dYmzZtNNehPW+HOhkbYu3s7CwWLVokbty4IXJzc/V8paDhnwXpZCwFBweLsLAwce/ePZGUlCQ2btwoGjZsaPKMvQW9Iwo6Rzu99NJL4s8//xRxcXEiOztbxMbGin/++Uf83//9n2jYsKFBfyzompo0aSJCQkJEVFSUyMrKEomJieLMmTNiyZIlelNCFPQeM3aPvLy8xJo1a8Tt27c199/Ud4O7u7uYPXu2uHDhgsjMzBTJycni5MmT4vPPPxfly5fXydugQQOxatUqcevWLZGTkyNu3bolVq9eLRo0aGCW/xY07YGxe6c9Y+/3338vbt68KbKyssS5c+cKnLG3NJ5HJe+vOe/kwpLNgw2JRCKRSCTFiHol9Tp16ihsSdlF9omRSCQSiUTyRCKDGIlEIpFIJE8kMoiRSCQSiUTyRCL7xEgkEolEInkikS0xEolEIpFInkhkECORSCQSieSJxGonuzMVDw8PzURuEolEIpFITKd8+fKa2cRLAhnEFICHhwehoaFKmyGRSCQSyRNL//79SyyQkUFMAahbYPr371/srTFVq1YlLi6uWMt8EpE6qJA6qJA6qJA6qJA6qHhSdShfvjyhoaEl/jXDrCl+rSk5OzuLXbt2CWdn52Ive+rUqYpfnyUkqYPUQeogdZA6lE0dSvL/UHWSHXslEolEIpE8kcggRiH+/PNPpU2wCKQOKqQOKqQOKqQOKqQOKqQOxpFBjEK4u7srbYJFIHVQIXVQIXVQIXVQIXVQIXUwjgxiFKJ9+/ZKm2ARSB1USB1USB1USB1USB1USB2MI4MYiUQikUgkTyyK92C21FSSPasdHR0Vvz5LSFIHqYPUQeogdSibOsjRSWWYIUOGKG2CRSB1UCF1UCF1UCF1UCF1UCF1MI4MYhTC09NTaRMsAqmDCqmDCqmDCqmDCqmDCqmDcWQQoxBRUVFKm2ARSB1USB1USB1USB1USB1USB2MI5cdUIjt27crbYJFIHVQYc06BNGCVrhwnRzCth5Q2hyLwJr9QRupgwqpg3FkS4xCDB8+XGkTLAKpgwpr1eEp6rGdf5nFftZyhF/vVVXaJIvAWv3hUaQOKqQOxpFBjEQiUYx+1MCe+5q/W+eEUxsfBS2SSCRPEjKIUYgdO3YobYJFIHVQYa069OC23r4XqKuAJZaFtfrDoxRFBw8PDz799FNyc3PZvHkz77zzjubYsGHDSE1NZenSpfj5+T22fUOHDmXq1Km8/fbbJTqCSPqDcWSfGIVwcnJS2gSLQOqgwhp1qEk1WnARgDzsuEAdwir4c+TeZYUtUx5r9AdDFEWHxMREVqxYwWeffcawYcO4fVsVKFevXh0HBwf8/Py4c+fOY9s2bNgw6taty6RJk6hfvz7h4eGEhIQ8drmGkP5gHNkSoxCdO3dW2gSLQOqgwhp16EF9zfZ0nqMpV4gZ04zTDwIba8Ya/cEQRdUhODiYiIgITQATGBhImzZtWLhwYbEEMI6OjsyaNYtFixYBcOXKFZo1a/bY5RpD+oNxZEuMRCJRhEByNNv/45aClkhMYfLkyVSuXLlU63zmmWeYOXOm2ecFBweze/duHB0dmTNnDuvXr2fDhg0G87q5uTF+/HhsbGyMlpeZmcmMGTM0f7dr1w53d3f8/Pxo06YN/v7+7Nixg+vXr5ttq+TxkEGMQnz77bdKm2ARSB1UWKMO0ThylrrUIJ4zXAGsUwdDWKIOlStXxtXVtVTrjIiIKNJ5gYGBzJkzh8GDB/P8888TGxvL4cOHDeZNTk5mypQpZpVfrVo1AHJycli/fj0eHh6cPn2aRo0acffu3SLZXBCW6A+WgvycpBD9+vVT2gSLQOqgwhp1GEcYTbiKG3fJRwDwWt/XqI4nftRU2DplsUR/SE1NJSUlpVRTrVq1zLazadOmuLu7c+XKFX788Ufmz5/PBx98gL198f1mT01NBeDYsWOAqh+Ora0tzz33XLHVoY0l+oOlIFtiFEIdyVs7UgcV1qyDePBvJSqyYMV6KnKP3bQgmBuK2qUklugPs2bNKvU6p06davY5wcHBHDt2jM2bNwOwcuVKZsyYwRtvvMHq1av18ru7u/PRRx+Z9Tnp5MmT5OfnY2dnp9knhND5uzixRH+wFGQQoxAxMTFKm2ARSB1USB3gLulk4U5F7tHAwNBra0L6g4qi6BAUFMSuXbs0f2dlZbFo0SI+/PBDg0FMUlKS2Z+TYmNj2b9/P+3bt2fnzp14enoihGDPnj1m22sK0h8KRvHlui01leQy4pUqVVL8+iwhSR2kDtrpEE2FACFAOFNecXukPzw5OgQEBIhZs2aJrKws8ccff4iuXbsKQPj4+IgNGzYIIYT4+eefRc2aNYvFtpo1a4rly5eLMWPGiO+++060aNHCInSwpFSS/4dqJeUv1FJTSd6AqVOnKn59lpCkDtapwzd0EmeoL36jjfDBW7N/o9vLmiDmafwUt1P6g9TBEtKTqkNpBDGyY69EIil1mpFCE67Qh79JJ0OzP97VS7PdEHclTJNIJE8QMohRiJL6dvqkIXVQYW06NCQWgDg8SSVNs//frBTNdgOsd5ZSa/MHY0gdVEgdjCODGIXIy8tT2gSLQOqgwpp0qEgFqqGaNfUi1XWO3XTO1Gw3wHo0eRRr8oeCkDqokDoYRwYxCtGtWzelTbAIpA4qrEmHmlTVbF+jks6xxq88owfhsYkAACAASURBVNmur9VCY21Ykz8UhNRBhdTBODKIkUgkpYoPD6euj3l0lgdnG+LxAKAGSaVplkQieUJRvAezpaaS7Fnt7u6u+PVZQpI6WJ8Og2ivGYE0kg56OpygoRAgsnEQNhZgr/QHqYPS6UnVQY5OKsO89NJLSptgEUgdVFiTDjW0Wl9iyNY59tJLLzGQPOpQi0rYIUrbOAvBmvyhIKQOKqQOxpFBjEIUZU2QsojUQYU16eBDvmY7Bt3F8mrVqsV5IokimhyySts0i8Ga/KEgpA4qpA7GkUGMQsTHxyttgkUgdVBhTTr4aAUnMSTqHLMmHQpC6qBC6qBC6lAwin83s9RUkt/zype33inVpQ7WrUNHmoqRtBcz6SBssbFaHaQ/SB3Kug6yT0wZZty4cUqbYBFIHVRYkw4HOMMiDjGVMPIROsfGjRuHF+68Rztm0IGetFLISmWxJn8oCKmDCqmDcWQQI5FILIpqeLCEw3xCGD2seNZeSdHw8PDg008/JTc3l82bN/POO+9ojg0bNozU1FSWLl2Kn5/fY9Vz/fp1kpOTddL8+fMf13yJmdgXnkVSEoSFhSltgkUgdVAhdVARFhZGDAmav33ILCB32UX6g4qi6JCYmMiKFSv47LPPGDZsGLdv3wagevXqODg44Ofnx507dx7LLi8vL7755hs2btyIEAIhBBMmTGD69OmPVa4xpD8YRwYxCpGWZr2zkWojdVBhLTp44IYfNYghmVjiyCNX53haWhqJJJOFE+XIxodUhSxVFmvxh8Ioqg7BwcFERERoApjAwEBcXV1ZuHBhsdhla2vLypUrSUpSTcg4YMAAVq1aRWpqyfir9AfjyCBGIV566SVOnTqltBmKI3VQYS06dKEhv/I3ABPpxBz26xxX63CLKtTlBj5arTLWhOX6w1jAlP4ZJ4Cej+zbBDxjIO+jzANUn2WKqkNwcDC7d+/G0dGROXPmsH79ejZs2GAwr5ubG+PHj8fGxsZoeZmZmcyYMUPzd1xcnGbbx8eHBg0asHbtWrPtNBXL9QflKVKfmBEjRnD16lUyMzMJDw/nueeeKzB/x44dCQ8PJzMzk8jISN577z29PL179+bs2bNkZWVx9uxZevXqZVa99vb2zJ49m3///Zf09HRiYmJYuXIl1apV0ynD0dGRBQsWEB8fT3p6Ops2bcLHx6coMkgkEjPxwVGzHfNIK4w2MbgB4E4K5WS/GAvCBahhQvIycK6Xiee6PLaVgYGBREdHM3jwYJ5//nk6dOhgNG9ycjJTpkxh8uTJRpN2APMoX3zxBStXrnxsmyVFx6zhTP369RPZ2dli6NChwt/fX8yfP1/cvXtX1KxZ02B+X19fkZ6eLubPny/8/f3F0KFDRXZ2tujdu7cmT5s2bURubq6YNGmSaNiwoZg0aZLIyckRrVu3NrleFxcXsXPnTvHaa6+JBg0aiGeffVYcOXJEHDt2TMeeRYsWiRs3boigoCDRvHlzsXv3bnHy5Elha2tbqsPDqlSpovjwN0tIUgfr0mEWnTRLDgTS3KgO62ijyVeXWorbLf1BncYKuGFC2mTg3E0mnjv2sXRo2rSpyMnJEa+88ooAxHvvvSdu3rwp7O3ti12PqlWriujoaCv2h4JTaQyxxtwT/v77b7Fo0SKdfefOnRNffPGFwfyzZ88W586d09m3ePFicfjwYc3f69atE1u3btXJs23bNrF27doi1wuIgIAAIYTQCXSys7NFv379NHmqVasm8vLyRLdu3Ur1BvTv319xB7OEJHWwLh2Waa2b1IR6RnWYR0dNvnY0Udxu6Q9Pjg5jx44Vhw4d0vxdrlw5ERcXJ9566y2D+d3d3cUXX3whZs2aZTR9+umnBs8dNGiQOHHihEXqYAmpNIIYs/rEODg40LJlS2bPnq2zf+fOnbRr187gOW3btmXnzp06+3bs2MHQoUOxt7cnLy+Ptm3b6g1N27FjB2PGjClyvQCVK1cmPz+flJQUAFq2bImjo6OOPbGxsURERNCuXTs9O9VUrFgROzs7zd/Z2dnk5OQYrdcU6tev/1jnlxWkDiqsRQcvHj43dwx02lXrEI+N1jnOJW+YhWEt/lAYRdEhKCiIXbt2af7Oyspi0aJFfPjhh6xevVovf1JSElOmTCmSfU899RQZGRlFOtccpD8Yx6wgxtPTE3t7e51OTaDq5OTt7W3wHG9vb4P5HRwc8PT05Pbt20bzqMssSr1OTk7Mnj2btWvXcvfuXY0t2dnZmqDGlHIAYmJisLd/KNWePXtYsWIFW7ZsYcSIEYAqoLK3tycwMBCABQsW0KdPH3x8fIiNjWX9+vWMHj0agH379mFvb8/UqVMBWLJkCc8//zy+vr4kJCQQEhLC+PHjATh06BBJSUn06NEDgGXLltGxY0f8/PxITU1l0aJFTJ48GYCjR49y8+ZNevfuDcCqVasICAigcePGZGZmMm/ePCZPnoytrS0nT57k0qVL9O/fH4BffvmFRo0a0bx5c/Ly8vjyyy/58MMPKVeuHGfPnuXkyZO8+eabAPz+++/Url2bgIAAAGbOnMmoUaOoVKkSFy9e5NChQ5q5GTZt2oSXl5cm2JwzZw7vvvsu7u7umv5Nah22bduGs7MznTp1AmD+/PkMGDCAqlWrcvPmTTZt2sT7778PoHlJBQcHA7Bw4UJ69uxJjRo1iIuLY+3atYwdOxaA/fv3k5GRwQsvvADADz/8QNeuXalbty5JSUn89NNPTJgwAYDDhw8THx9Pz56qTonLly+nffv2NGzYkLt377JgwQKNveHh4Vy/fp0+ffoA8PPPP9OiRQueeuopsrKymDt3LhMnTsTe3p5Tp05x/vx53njjDQBCQ0Np0KABLVq0ID8/n+TkZMaNG0f58uU5d+4c4eHhvP322wBs2LCBGjVq0Lp1awBmzZrFyJEjqVy5MpcvX+bAgQMMHToUgD///BN3d3fat28PwFdffcWQIUPw9PQkKiqK7du3M3z4cED1Q8HJyYnOnTsD8O2339KvXz+qVatGTEwMv//+O6NGjdL4fF5eHt26dQNg8eLFvPTSS9SqVYv4+HhWr16tmZArLCyMtLQ0zaJ1S5cupUuXLtSvXx+fL/8Hearn6D8T3+Pv8L+5ffu2pg9cTk4OvXv3purlqnBG1ek38KmWNOnVlePHj3P16lVee+01ANauXUvTpk1p2rQpOTk5fPXVV4wfPx5HR0fOnDnDmTNnGDBgAAC//vordevWpWXLlggh+OKLLxgzZgwVKlTg/Pnz/PPPPwwePBiAjRs34u3tTZs2bQCYPXs27733Hm5ubly5coW9e/fyn//8B4AtW7bg4uKi6XMxb9483nrrLby8vIiOji7yO8LR0ZGAgAC6d+8OWO87wsPDA09PT00/yoLeEQ4ODlSuXJnu3btTp04dEhISOHr0KL179+bll1+mcePGHD58mIMHD3Lp0qVieUe0aNGCmzdv0rdv3xJ9R9SuXRvgiXtHGOrbWhKY3GxTrVo1IYQQbdq00dk/ZcoUcf78eYPnXLx4UUyaNElnX7t27YQQQlStWlUAIjs7W7z++us6eQYMGCAyMzOLVK+9vb34448/xPHjx0WlSpU0+9944w2RlZWll3/nzp1i8eLFRpvCqlSpIipVqqRJjo6Oj90EZmdnp3hTnyUkqYN16RBJTSFAxONeoA5deUacpKHYQUvRk2cVt1v6g9RB6mB+srhlBxISEsjLy9NrtahSpYpeK4kadUvLo/lzc3NJTEwsMI+6THPqtbe3Z/369dSpU4euXbtqWmHU9Tg5OeHq6mqy/QDp6encvXtXkx73UxLApEmTHruMsoDUQYW16FAF1bwa8bgaPK7W4S9O0IKLdOc4m/in1OyzFKzFHwpD6qBC6mAcs4KY3Nxcjh8/TteuXXX2d+3alcOHDxs858iRI3r5u3XrRnh4OHl5eQXmUZdpar3qAMbPz4/g4GDNRERqjh8/Tk5Ojk453t7eNGnSxKj9EomkeChPOSpyD4A7VFLYGolEUlYwq+lGPdR5yJAhwt/fX8ybN0/cvXtX1KqlGgb5xRdfiJUrV2ryq4dYz507V/j7+4shQ4boDbFu27atyM3NFRMmTBANGzYUEyZMMDrE2li9dnZ2YuPGjSI6Olo8/fTTomrVqprk4OCgKWfRokUiOjpaBAYGiubNm4tdu3YpMsQ6KChI8aY+S0hSB+vRoSbemhFHvxr5RGQNOkh/kDpYiw4WOcQaECNGjBDXrl0TWVlZIjw8XHTo0EFzLCQkROzdu1cnf8eOHcXx48dFVlaWuHr1qnjvvff0yuzTp484f/68yM7OFufOnROvvvqqWfXWrl1bGKNTp06afE5OTmLBggUiISFB3Lt3T2zevFnUqFGj1G/AU089pbiDWUKSOliXDo7YCR88RQ0Mz3thLTpIf5A6WIMOFhvEWEsqyRswdepUxa/PEpLUQepgTIfVtBUnaSBO0kBxu6Q/SB2kDuYni5snRiKRSEqLRiTTnEvkYYcNqjeWRCKRPIri0ZqlppKMIn18fBS/PktIUgepgzEdthKg6UPjjqvitkl/kDpIHcxLFjfEWlJ8PPvss0qbYBFIHVRYgw69acPndGY0nfHC02AebR3itRaL9DIyJLusYg3+YApSBxVSB+PIz0kK0ahRI6VNsAikDiqsQYeXsWcI+wDYST3iSdDLo63DHa3XUxVcuFjiFloO1uAPpiB1UCF1MI5siVGIe/fuKW2CRSB1UGENOlQhS7MdT7LBPNo66K6fVL7kDLNArMEfTEHqoELqUDCKfzez1FRKw8Nkkskq0lEaCQEiD1thi02h+QdrrXg9nA4lYpNMMslUckn2iSnDFHXV1LKG1EGFNejgRRoAibiRjzCYR1uHeLI121W0WmWsAWvwB1Moig4eHh58+umn5ObmsnnzZs1CkwDDhg0jNTWVpUuX4ufn91i2+fr6MmLECIYMGcLkyZNp3rz5Y5VXENIfjCP7xCiEjY11vZSNIXVQYQ06eKJaPT6BykCiwTzaOtzhYRO6l5Ggp6xiDf5gCkXRITExkRUrVvDZZ58xbNgwbt++DUD16tVxcHDAz8+PO3fuPLZtw4cP11nTaPXq1bz11luPXa4hpD8YR7bEKMTx48eVNsEikDqoKOs6OOKgWTcpkYpG812/fp1XX32VoUOHYuP5sB+MB3klbqMlUdb9wVSKqkNwcDARERGaACYwMJA2bdqwcOHCYglgAHr37s3TTz+t+Ts7O7uA3I+H9AfjyJYYhbh69arSJlgEUgcVZV0Hd1yBeACScDKYp3Hjxrzwwgualef9azZkxueexOVlc+7BpyhrwVL9YSwwzoR8J4Cej+zbBDxjwrnzgPkPtouqQ3BwMLt378bR0ZE5c+awfv16NmzYYDCvm5sb48ePL7C1IzMzkxkzZujs+/777wkPD+e7774jNTWVBQsWFMlWU7BUf7AEZBCjEK+99hozZ85U2gzFkTqoKOs6eOCCOohJ1Jr/RY2dnR2vv/46fn5+nDhxAoBK3i7cndKGH2bO5P79+6VpruJYqj+4ADVMyHfDwD4vE8910douqg6BgYHMmTOHwYMH8/zzzxMbG8vhw4cN5k1OTi5Sn5N169bRqlUrevToQcWKFQkLCzO7DFOxVH+wBGQQI5FIShx3Kmi2E7HTO96xY0eqVKkCQHp6Ora2tjg7O1O9enWefvppTp48WWq2SoyTBtw0IV+8kX2mnPu4bW5NmzbF3d2dK1eusHnzZmxsbPjkk0+YO3cueXnF81myYsWKLFmyhIEDB5Kfn8+kSZP4448/aN68OVFRUcVSh8Q0ZBCjEGvXrlXaBItA6qCirOuQQTbbeQZ3MrmCfqtKcHAwAJcvX2bBggU4OzszZswYANq3b291QYyl+sN8Hn7qMZdHPy+ZQlF0CA4O5tixY2zevBmAlStXMmPGDN544w1Wr16tl9/d3Z2PPvrIrM9JXbt2Zf/+/WRmZgLw2Wef4eDgQKtWrUokiLFUf7AEZBCjEE2bNuXatWtKm6E4UgcVZV2H41zkBSPHfHx88PDwACAjI4Po6GgAkpKScHOohH+5OrQv34wjmf8aHZpd1ijr/mAqRdEhKCiIXbt2af7Oyspi0aJFfPjhhwaDmKSkJLM/J125coVXXnlFZ5+dnR3//POPWeWYivQH48jRSQrRtGlTpU2wCKQOKqxZB+35NbR/DR85coTGn23g/a8/5GDmadxwU8I8RbBmf9DGHB0CAgKYNWsWwcHBPP3003Tt2hVQBcnNmjWjWbNm/Pzzz9SsWfOx7Tpz5gyhoaF8/fXXjBkzhokTJ7Jr1y5NAF7cSH8wjmyJUYicnBylTbAIpA4qrFkH7WGq2v8J/P3339xzagvpqr/dcSGRpNI2TxGs2R+0MUeH8PBwwsPDmTx5ss7+mJgYevfuXdymsX37drZv317s5RpC+kPBKD41saUmueyATDKVbHJ1dRVLliwRS5YsEVOmTNE7vs77dc3SA+1sn1bcXplkksn0JJcdKMOMHz9eaRMsAqmDirKuww905Az12Ucz3HDV7Nee+v3ff//V0yFRCM12PddqJW+ohVDW/cFUpA4qpA7GkUGMQjg66s+VYY1IHVSUdR0akEoTrtCJ02SSqdlfp04dzXZkZKSeDrdzHs6CWquie8kbaiGUdX8wFamDCqmDcWQQoxBnzpxR2gSLQOqgoqzr4PFgyYFMypGltbBj3bp1NdtRUVF6Oty4l6LZ9nYsj7VQ1v3BVKQOKqQOxpFBjEJIp1QhdVBR1nVwR7WUQKLWpyQ7Oztq1FDN4RoXF0dmZqaeDrdy7mq23bDFzk5/orzSwglH3KhcKnWVdX8wFamDCqmDcWQQoxADBgxQ2gSLQOqgoqzr4PFgBetErUnla9asib29aoCkeg6MR3VIIkOz7ZyRjo+PT0mbqkc5HNlDM7LIIYlUlvJciddZ1v3BVKQOKqQOxpFBjEQiKVGcKU+5B5+QknDW7NfuD2NsIq8k9fhqwDkrnVq1apWQlcapREUiqEj6g6UT3uUg9Sh9OyQSiT4yiFGIX3/9VWkTLAKpg4qyrIO71ieYRK0VrH19fTXb6iDmUR2SSNVsV8i+q0gQE08SozjEbzTT7HuHOgWc8fiUZX8wB6mDCqmDcWQQoxDaHRqtGamDirKsg4fWJyTtFazVn4by8/OJiYkB9HVIJY2W9k34bsK3nJrWX5EgRs0kLpH3YPHKwVzArgRfn2XZH8xB6qBC6mAcGcQoRMuWLZU2wSKQOqgoyzq4a31CSnrwyrGxscHb2xtQdeq9f1+1KOSjOgjgRF4EyRVScHCxpUaNGtjaKvPaiiOB/6GyrzpxBNK8kDOKTln2B3MoTR1q166NEIJmzZoVnvkBgwYNIjk5ucTtMEWHa9euMXr06GK15UlABjEKIbQm8bJmpA4qyrIOHpTTbCehuk4vLy9Np95bt25pjhvTQb0cgb29PdWqld6kd01piIvWiKpQrVdmWyqVWL1l2R/MwVwdatSowU8//URMTAzZ2dlERUXxzTff4O5e+BxDN27cwNvbm4iICJPrCw0NpUGDBmbZWBRKwh9KIgBTAhnEKMQXX3yhtAkWgdRBRVnW4SQ3GUF7ptCBA8QD6Iwy0g5ijOmgvaZSaX5S2ssdUknhMKoF+I7x0NZntCbtK27Ksj+Ygzk61KlTh/DwcBo0aMAbb7xB/fr1GT58OEFBQRw5cgQ3N+MLiDo4OJCfn6/TKmgKWVlZxMfHm5y/qEh/MI4MYhRizJgxSptgEUgdVJRlHSK5yRIOMYswjnIegOrVq2uOawcxhnTowtM8e8SeynOPcT8lr9RaYmpQFQ9Uv1RTH/TluUo0qQ/6+LTgZonV/aT7g61TeWq+8j5NJ/3M01PX0XTSz9R85X1sncybsNAcHRYuXEhOTg7dunXjwIED3Lhxg+3btxMcHIyPjw8zZ87U5L127RpTp04lJCSElJQUli5davAzTo8ePbh06RIZGRns2bOHt99+GyEElSurOqs/2poxbdo0Tp48yZtvvsm1a9dISUnhl19+oWLFipo83bt3JywsjOTkZBISEvjzzz8L7fPyqA5eXl5s3ryZjIwMrl69anAI9tixY/n3339JT08nOjqahQsXUqGCaoRdp06dWLFiBa6urgghEEIwbdo0AAYOHMixY8dIS0sjNjaWNWvW4OXlZeptKHVkEKMQameydqQOKqxNB+1AJDY2VrNtSIchVOT/0rfx+uVl5Mdk6wRAJUkLamq2T6L6T0gAJx+MTKrFLTzxKJG6n2R/sHUqT6P3v6NK2544uVfDsbIXTu7V8Grbk0bvf2dWIGOqDm5ubnTv3p1FixaRlZWlcywuLo41a9bQv39/nf3jx48nIiKCli1b8n//9396ZdauXZvffvuNjRs30rx5c3744QedQMgY9erVo1evXrz88su8/PLLdOrUiUmTJulc07x582jVqhVBQUHk5+fzxx9/YGNjY7TMR3VYsWIFvr6+BAYG0rdvX0aOHEmVKlV08uTn5zNq1CiaNGnCoEGDCAwMZM6cOQAcPnyY0aNHk5qaire3N97e3nz99deAaomDTz75hGbNmtGrVy/q1KnDihUrCr1upbBX2gBr5fz580qbYBFIHVRYmw7qz0l5eXncuXNHs9+QDklarymb5ByqNSqdlpgWWh2ST5Kj2f6JSmwhkBPc5S7/lkjdT7I/+HR/h3JetbB5ZHZlWzs7nLxq4dNtCDf+XGRSWabq4Ofnh62trdH858+fx93dHS8vL83nnz179jB37lxNntq1a+ucM3z4cC5evMiECRMAuHTpEk2aNOHjjz8u0BZbW1sGDx5MerpqjqPVq1cTFBSkOW/Dhg06+YcOHUp8fDyNGzfm7NmzRu3XvtYXX3yRZ599lqNHj2rKuHDhgs453377rWY7KiqKTz75hMWLF/P++++Tm5tLamoqQgji4uJ0zgsJCdFsX7t2jVGjRnHs2DEqVKjAvXv3Crx2JZAtMQrxzz//KG2CRSB1UFGWdahDLepSG/cHrRZ2dnZUrVoVUP1Kzs/P1+Q1pEMSD3+h2iRn4+HhUSoL4rXg4S/6k1p9YdZwkK/Zwx6Oka21DlRx8iT7g2vjtnoBjBpbOztcG7czuazi0kHdyqHdQTY8PLzAcxo2bMixY8d09qmDhoKIiorSBDCgamnUbiWpW7cua9asITIyktTUVM0cSQX19dLWoVGjRuTm5urYf/HiRb1Oup07d2bnzp3cvHmTtLQ0Vq1ahaenJ87OzhRE8+bN2bhxI1FRUaSlpbFv375C7VMSGcQoxODBg5U2wSKQOqgoyzosxpNIrpNIIq644OHhoRkmrf0pCQzrkMTDIMf+riqwUA/PLknUfV7SqEQk10u8Pm2eZH+wsSu4gb+w49qYqsOVK1fIz8+ncePGBo/7+/uTlJREQkKCZl9hrQo2NjZ6o4IK+uSjJjc3V+dvIYTOtAB//vknHh4e/Oc//+HZZ5/l2WefBQpeqVpbB0MB2aPUqlWLrVu3EhERQZ8+fWjZsiXvv/8+oOrEbAxnZ2d27txJeno6b775Jq1ateLVV18t1D4lkUGMRCIpUVwftGjkY0MqaZpWGEDnU5IxksjTbDumqdZSKunOvZWpRO0HrS+nqYMc8Gw64n5ewcfzCz5eFJKSkvjrr78YOXIk5cqV0zlWtWpVBg4cSGhoqFllXrhwgVatWunsCwgIeCw73d3dady4MZ9//jl79uzhwoULBY6aMsT58+dxcHDQsaVBgwY65QQEBGBvb8+HH37IP//8w+XLl/X6kuXk5OgtqOrv74+XlxeTJk3i4MGDXLx4Ua+vjaUhgxiF2Lhxo9ImWARSBxVlWQe3B4s4plEJATojHR4NYgzpkKj1ycbxnmpYc0kHMfV4OAT8vIGVqz2oSBsaMIBWeseKgyfZH1LOHSHfyDDl/Pv3STl72OSyzNHhv//9L05OTuzYsYMOHTpQo0YNunfvzl9//UVMTAxTp041uSyAH374AX9/f2bPno2fnx+vvfaapkWkqPO2qEckDRs2jHr16tGlSxfmzZtX6HnaOly6dIlt27axdOlSWrduzTPPPMNPP/1ERsbDxVIjIyNxcHDggw8+oE6dOrz55psMHz5cp8yoqCgqVapEYGAgHh4elC9fnujoaLKzszXn9ejRg08++aRI11payCBGIUqjOfxJQOqgoizr4MpdAJIfDE3W/mX3aBBjSIckrflYymWo+hqUdBBTV2uCu6sGXpMr8ecIl1jDMbwp/l+qT7I/xOxYTnZ8tF4gk3//Ptnx0cTsDDFypj7m6HDlyhUCAgKIjIwkNDSUyMhIfvzxR/bu3Uvbtm3NntgtKiqKvn370rt3b/79919GjBihGZ2UnV20vlBCCF5//XVatmxJREQE8+fPZ/z48YWe96gOQ4YM4caNG+zfv58NGzbw448/6jxLp0+fZuzYsUycOJGIiAgGDhzI5MmTdco4cuQIixcvJjQ0lISEBCZMmEBCQgKDBw/mtdde49y5c0yaNImPPvqoSNdamgiZDCdnZ2exa9cu4ezsXOxlT506VfHrs4QkdSj7OuRgLwSIEzQUgBg1apRYsmSJWLJkiahYsWKhOtSjlhAgBIit7i+LJUuWiBkzZpSozaN5TlPna7TVO/4tHTXH29NU+sMjydapvKjZY6RoOvFn8fSUdaLpxJ9FzR4jha1T+SdahylTpojo6OhSr9fSdDA1leT/oeokh1hLJJISwxlnHB58TkpGNT+IuiUmKytLZxSHMZJI0WxXyFRte3p6Gux4WVx8y0F+wom6VOMG+sNer2pt18WFQyVixZNLfnYmN/5cZPJQaktlxIgRHDt2jMTERNq3b8/48eP5/vvvlTZLooUMYhRi9uzZSptgEUgdVJRVHdxwgQdBTAqO2NnZ4eGhGmptqFOvIR1SSSOSWiRTKBriVQAAIABJREFUgRvlVP1pbG1tcXd3JzExscRsv0c2Z4gyeCxS6xNXvRJ4jZZVfzAXpXXw8/Pj448/xt3dnejoaObOncusWbNK3Q6ldbBkZJ8YhXjvvfeUNsEikDqoKKs6uPFwuvVkHPHw8NAMETUUxBjSIR+oTzStOM/vnR/uV3LUxFUeBk/1yC0gZ9Eoq/5gLkrrMG7cOHx8fChfvjwNGzbk888/N2ttpeJCaR0sGRnEKIS5w+rKKlIHFWVVB1ceTjGfjG2BnXqhcB20z1EyiLlGjGa7LmnFXn5Z9QdzkTqokDoYR35OUogrV64obYJFIHVQUVZ1cOPhnB0p2BQaxBSmg/Y5JbUoXQ28mYYfkdizj0T+NrC0QCbZ3KIq1YmjHreL3Yay6g/mInVQIXUwjgxiFGLv3r1Km2ARSB1UlFUdtnGc6njgSkWSiKCTZ5DmmPbsqWoK00G97g2UXEtMY6rxLmEAzKITfxvJF0kVqhNHVRKoQAXuUXzrypRVfzAXqYMKqYNx5OckhfjPf/6jtAkWgdRBRVnVIY98YknkPNeJIxFPT0/NMUNBjDEdRtGBPTRjX4oXmedU886UVBBTj4crBkdivP/DVSpptutQvCtrl1V/MBepgwqpg3FkECORSEoN9cik+/fvk5KSUkjuh9TDhi6cphmXSb+m6lSrHmZd3NTWei1eK6B15ToO5GNDDN64aPX9kUgkpYcMYhRiy5YtSptgEUgdVFiLDuogxtjQaGM6aK9knROrCn7s7e1LpMNjDa3RRjcxHmjNJhxHHKnBbQ4b6DfzOFiLPxSG1EGF1ME4sk+MQri4uChtgkUgdVBRVnXoTRt8KUcK9/mz3HnN4nzGghhjOiTxcFI7kfhwgjwvLy+SkpKK0WKoodX6EoPxBSozi7EPzKOUVX8wF6mDCqmDcWRLjEJ06NBBaRMsAqmDirKqwyDuM5d9LCMMH9eH/UYM9YcB4zpor2TtkPYweCiJfjE1UK2xk0zlYu2saw5l1R/MReqgQupgHBnESCSSEsNVawVqBy8nzba5M+0maZXjlJGl2S6JYdY+D1pfblIyQ7glEknxIT8nKYQpy69bA1IHFWVVB7cHSw5kUo7KVStr9hsLYozpkMzDwMU55+F2cbfEeOBKuQf9YG5qrWRtjGm0py73ycGW/3C42Owoq/5gLlIHFVIH4xSpJWbEiBFcvXqVzMxMwsPDee655wrM37FjR8LDw8nMzCQyMtLgFMq9e/fm7NmzZGVlcfbsWXr16mV2va+++irbt28nPj4eIQTNmjXTK2Pv3r0IIXTSL7/8YqYCj89bb71V6nVaIlIHFWVVB9cHn2OSqVzo8GowrkOy1mcdl/s55OWpPi8VdxBTQ6v15aYJI47eJpq3+ZvenCtWO8qqP5iL1EGF1ME4Zgcx/fr145tvvmHmzJm0aNGCsLAwtm3bRs2aNQ3m9/X1ZevWrYSFhdGiRQu++OILFixYQO/evTV52rRpQ2hoKKtXr6ZZs2asXr2a9evX07p1a7PqrVChAocOHWLSpEkFXsOPP/6It7e3JimxLkVJzTb6pCF1UFFWdXB7MCV/ChU0I5PAeEuMMR2SuKvZdidHEwQVt27Z5LCGNuzjaU6bkD/mQWuNOymUL8Zh1mXVH8xF6qBC6mAcsz8njRs3jmXLlrFs2TIAxo4dS/fu3RkxYgRTpkzRyz98+HCio6MZO3YsABcuXCAgIICPPvqIDRs2ADBmzBj++usvzUqds2fPplOnTowZM4YBAwaYXO/PP/8MQO3atQu8hoyMDOLi4sy99GIlOjpa0fotBamDirKogz12VNS0xDwMYvLy8khLM7zekDEdkrWGOruRxZ07d/D29sbBwQFXV1ez5pwpiAtc502um5z/ptYClz5U4YoZ5xZEWfSHoiB1UCF1MI5ZLTEODg60bNmSnTt36uzfuXMn7dq1M3hO27Zt9fLv2LGDgIAA7O3tC8yjLrMo9RbEwIEDiY+PJyIigq+++oqKFSsWmL9ixYpUqlRJkxwdHc2u81HkuH8VUgcVZVEHVx72gUnGSRPEFDQk2pgOedznSzrzMV1YiIvO8gNK/kqN0fod6EPxzVlTFv2hKEgdVEgdjGNWS4ynpyf29vZ6rRhxcXF4e3sbPMfb29tgfgcHBzw9Pbl9+7bRPOoyi1KvMdasWcO1a9e4ffs2TZo0YdasWTRr1oxu3boZPScmJkYTcAHs2bOHFStWsGXLFkaMGAGoAip7e3sCAwMBWLBgAX369MHHx4fY2FjWr1/P6NGjAdi3bx+9evXS/HpcsmQJzz//PL6+viQkJBASEsL48eMBOHToEElJSfTo0QOAZcuW0bFjR/z8/EhNTWXRokVMnjwZgKNHj3Lz5k3Np7pVq1YREBBA48aNyczMZN68eUyePBlbW1tOnjzJpUuX6N+/PwC//PILjRo1onnz5uTl5fHll1/y4YcfUq5cOc6ePcvJkyd58803Afj999+pXbs2AQEBAMycOZNRo0ZRqVIlLl68yKFDh3jnnXcA2LRpE15eXppgc86cObz77ru4u7tz9epV/P39ycnJAWDbtm04OzvTqVMnAObPn8+AAQOoWrUqN2/eZNOmTbz//vsA7Nq1C4Dg4GAAFi5cSM+ePalRowZxcXGsXbtW0/q3f/9+MjIyeOGFFwD44Ycf6Nq1K3Xr1iUpKYmffvqJCRMmAHD48GHi4+Pp2bMnAMuXL6d9+/Y0bNiQu3fvsmDBAqZOnQpAeHg4169fp0+fPoCqJbBFixY89dRTZGVlMXfuXCZOnIi9vT2nTp3i/PnzvPHGGwCEhobSoEEDWrRoQX5+Pra2tmRmZlK+fHnOnTtHeHg4b7/9NgAbNmygRo0ams+rs2bNYuTIkVSuXJnLly9z4MABhg4dCsCff/6Ju7s77du3B+Crr75iyJAheHp6EhUVxfbt2xk+fDj8P3tnHh9Vdf7/dyb7RpLJTkII+y4EkH2TAmqtIKioaFXUlqIWt4KK32prFa1UBFol1F0sFCz+ilZxQdlkEcMiEDAsYTH7CtmXIff3x525uSG5yWzhzkzO+/W6L+7MPffcJx+eTJ455znnQf6i4O/vz6RJkwBYsWIFs2fPJj4+nuzsbDZu3MiCBQsUnzeZTMrvyapVq7jhhhtISkqisLCQNWvW8PjjjwOwc+dOysrKmN73Ovi3PLpqCjYyevRoamtrycjIUDTcu3cveXl5Sg5cQEAABw8epF+/flRWVrJ8+XIWL16Ml5cX2/bvJzMzk1tvvZVu3boRGBiI0Whk4cKFnDx5kqVLl7Jw4UL8/Pw4cuQIR44cUUZyP/roI7p3786wYcOQJIklS5bw6KOPEhwczPHjx/n++++59957Afjvf/9LXFwco0aNAuSR4Xnz5hEREcGpU6fYunWrsg18+T9+hIsAMD1lPPt+yuDXv/410dHRnD9/3u7PCKPRyLp167j22muBjvsZkZCQwLPPPqtM+XfUz4hevXpx77338vjjj7vVZ0RLua3tgWTtER8fL0mSJI0aNarJ+4sXL5aOHz/e4j0ZGRnSU0891eS9MWPGSJIkSbGxsRIg1dbWSrfffnuTNnPmzJGqq6vtem7Xrl0lSZKkwYMHt/kzDR06VJIkSUpJSWl2LSgoSNqyZYsUExMjhYaGKoefn5/VmmkdzzzzjMN9eMIhdPBcHa6mnySBJIG0yucXUmpqqpSamirdfffdDuvQv39/pb+ZM2c60W4vm9rfwkjlZ1zEROEPTj6EDu6tg+VvaFBQULs9w6bppKKiIkwmU7PRj5iYGM0cE8tIy+Xt6+vrleQ+rTaWPu15rrUcOHCAuro6evXqpdmmoqKC8vJy5bCMHDjC5VNjHRWhg4wn6nCJBvbRjxN0pci8Uy+0Pp1krQ4FBY076TpzOukwPTlPZ75mmFXts1QJx4lITrPDE/3BHoQOMkIHbWwKYurr69m/fz9Tp05t8v7UqVPZvbvlPRL27NnTrP20adNIS0tTlklqtbH0ac9zrWXAgAH4+fmRm5vrUD+2op6e6sgIHWQ8UYcDZDCS4/ThHFuGNZYKaC2IaU0HLyCMYJKJp6yojIaGBsC5QUwX8ulCDklYtxlfrnl3X4A4HP9yY8ET/cEehA4yQgdtbF5ivWzZMh544AHmzp1L3759WbZsGUlJSaSmpgKwZMkS3n//faV9amoqXbt25dVXX6Vv377MnTuX+++/n7/97W9KmxUrVjBt2jQWLVpEnz59WLRoEVOmTGH58uVWPxcgIiKCwYMH079/fwD69OnD4MGDiY2NBaB79+788Y9/ZNiwYXTt2pXrr7+ejz76iAMHDrBr1y5bpXAIy7x4R0foIOPpOqgLNbYWxLSmw2rGcYFKzpBLL5KUftRLtx3BHz/CzUvC87CuVk2+KtiJM2/s5ww83R+sReggI3TQxubwbsOGDURGRvLss88SHx/P0aNH+eUvf6ksAYuPjycpKUlpf/bsWX75y1/y2muv8dBDD5GTk8OCBQuU5dUgj8TcfvvtvPDCC/zlL3/h9OnT3Hbbbezbt8/q5wJMnz6d9957T3m9fv16AP70pz/x5z//mbq6On7xi1/wyCOPEBISws8//8xnn33Gn//8Z+VbnUAgcD5Go1E5Ly0tbaWlNhdU37mMBFFUVERUVBRBQUEEBgZSXV3tkI2xRAE5AOQTZNU9NdTxb8ZwEV+OiiouAoEu6J7846pHeyYlhYaG6v7zucIhdOgYOjzxxBNKIm5rifGt6fA0E5Uk2umMkO68806lz6SkJIdtHKFKRP4744U/uMAhdHBvHVwusVfgPCxL7jo6QgcZT9Th/5jEDq5iEyOIKJenZyorK1tNjG9NhxIaR0uN+DYpXaAuaWAvsQQr53k6j6p4oj/Yg9BBRuigjcgW0omEhAS9TXAJhA4ynqjDIGoYz2EAzoXeDrSeDwOt61BKvXIegQ9HnBzExNG4gioffaeXPdEf7EHoICN00EaMxOjElV4N5aoIHWQ8UYdw1Wod7yh/oO18mNZ0KKVWOTfStIikM1Yoxao+DvNVVbOtJQADfng7bAd4pj/Yg9BBRuigjQhidGLDhg16m+ASCB1kPFGHCORE20sY8Ar1AtoeiWlNhxIaE3cjaGhSesA500mScp6nqprdFvMYwwVCqaaBG6zcX6YtPNEf7EHoICN00EYEMTph2V68oyN0kPFEHSLMgcAFwjD4yB81bQUxrelQSuNeM0ZMVFVVUVMjj5g4YyRGvc9LPtYXlKwFwsyb3sXh77Ad4Jn+YA9CBxmhgzYiJ0YgELQL4eag44JXYyFIR6pNl9JY+TrCHHAUFhbSpUsXjEYjXl5eSJKkdXubvEgx/2EEsfiSx762bzCTp5p6ihXfCwWCK4oIYnRi27ZtepvgEggdZDxRh3BzZcQyQ2OV+LZyYlrT4SJlNOCFAQmjeWqpqKiILl26YDAYMBqNSikTezjEKQ7ZcV++qvRAnJMSgj3RH+xB6CAjdNBGBDE6UVtb23ajDoDQQcbTdAghGB/zdFK5d6jyflsjMa3p0ACMZxBl1FBo3in38rwYR4IYe8lTTT3F4Zz/R0/zB3sROsgIHbQRY586ce211+ptgksgdJDxNB0iVNv2V/k17r/S1khMWzrs5jBHOUE+jcVhLTgjudceCimmATlxOU6Vt+MInuYP9iJ0kBE6aCOCGIFA4HTCaZxCqg6QR2IqKyuVoq/OwllBTCghXMcIUuiPEdtqMZlooAi5rEKseQpNIBBcGcR0kk6oC1d2ZIQOMp6mQxEXWMx4IoCQwf0wYF1Sr606qKeTHFmh1J8kNpuTeVcygUfYYdP9eRiJoZg4itpubAWe5g/2InSQETpoI0ZidOK6667T2wSXQOgg42k65FLIS+zk+ZCDGG6VC8JaU/ixLR2G0Zt7GMWjjCOCMEpKSpQVSY6MxMSpSg7km6eGbCHfPPIUQC2drKyA3Rqe5g/2InSQETpoI4IYnUhOTtbbBJdA6CDjqTqEh4cr59aMxLSlwwPE8B57eY3vSCaOS5cuKcGRIyMxsar9XfK4ZPP9haqSBTGEt9LSOjzVH2xF6CAjdNBGBDE6oZ7L78gIHWQ8VYeIiAjl3JqRmLZ0KFFt6x9BYJN7goODCQgIaPG+tohV9Ztvxwqj5ZRzPaMYxiB+NicdO4Kn+oOtCB1khA7aiJwYnXj33Xf1NsElEDrIeJoO4YRjwJvwUKPynjUjMW3pUKoqDWA0j34UFhbSu3dvQJ5SysrKstle9f4u+XasMPqBozbf0xqe5g/2InSQETpoI0ZidGLhwoV6m+ASCB1kPE2HP3MVxRSzY/d26nfJwYs1IzFt6VCqmuqJMH8Hc8YKpVhVyYE8G0oOtBee5g/2InSQETpoI0ZiBAKB04mgcSm1V7gv4FjJAQsl1KueIU8BOWOFUpyq4GMB1m+Y5+/vz/Tp0+ncuTMZGRl89913VFQ4Z68YgUDQNiKI0Yldu3bpbYJLIHSQ8TQdwlXBBhFyEGPNSExbOpSq8lUsE1XqXXrtH4kpM/cfRp2Ve73ExcXx+9//nsjISBoqTPTLi+SGIf34ZN8Ovq7bb5cdFjzNH+xF6CAjdNBGBDE60VY1346C0EHG03SIUBVFNBh9qK+vp7q6us372tKhhCrVM+SppctLD9hDLPJz84gEK4IYLy8v7rvvPiIj5Y3xGnLqmb/+WQC6hU5jS71jxSg9zR/sReggI3TQRuTE6MSNN96otwkugdBBxtN0iDAHG5UEYQgwWDUKA23rUKpKurVMWVVUVCi1ZeyZTgrAT0kXzie01bYWJk+eTFKSvP9NXl4e73z6vnIt8lIFY8eOtdkONZ7mD/YidJAROmgjghiBQOB0ws3BxgUvec8UZ+TDAJSoRkmMqqklS3Kv0WjEy8u2zepqqCOMCoLw4VbOttne399f+aMiSRLvv/8+B04eotq8Wiq8roQpU6bYZINAILAPEcToxNtvv623CS6B0EHG03SIMOeYlHvLu9daOxLTlg6VVJFPNKdJIpcg5X1LEOPj40NYWJg9JlONiSIrppJGjhyp7EezZ88ezpw5A0CBOUsn8lIxcXFx9O/f3y47wPP8wV6EDjJCB21EEKMTEyZM0NsEl0DoIONJOvjhSxBy/ku5jxzEWDsSY40OcRTSk/P8msZkR2fVULKGSZMmKefffPONcl6AHDwZpWIkk8TkyZPtfoYn+YMjCB1khA7aiCBGJ3r16qW3CS6B0EHGk3QIp3EkpMpXrilk7UiMvTo4q5p1W/Ts2ZPOnTsDcPr0abKzs5VrBeb6S940YCqop3///gQGBtr1HE/yB0cQOsgIHbQRQYxOXLxo3TJOT0foIONJOoSrkmMr/eVza0di7NXBkZGY2YxhFRN5jmvoQkKrba+++mrlfPv27U2uFajqL0n5dRgMBgYMGGCTLRY8yR8cQeggI3TQRiyx1ok33nhDbxNcAqGDjCfpcJaf6U9Xpl19Db2GD8AH60di7NXBkZGYSXjzO+SA5FP68nMrbVNSUgAwmUwcOnSoybUCVf0l7+IaIIQhQ4aQlpZmkz3gWf7gCEIHGaGDNmIkRieefvppvU1wCYQOMp6kQx0mjnOO+quD8Bls20iMNTo8wFj+H1ezjatIQp7acWTDuzjVKqf8VkoOdO/enU6d5Byf9PR06urqmlwvUJ035MmJzQMHDsTb2xtb8SR/cAShg4zQQRsRxAgEgnYhPFxeXt3Q0EBZWZnT+r0Kb27iByZymFjkZ5hMJiVQsnU6KVa1gV4B2tWChw4dqpwfOHCg2fVC6qnDlyziKS6Ug6qAgAB69uxpkz0CgcB6RBCjE/v27dPbBJdA6CDjiTpEREQA8ny+tbvXWqNDCY37wETSmDhbUCCPhYSGhipLoK0h1rysupgI6lU1ny5nyJAhgByUHT58uNn1f7EPfy7RhVw+69R43Z6kTE/0B3sQOsgIHbQRQYxOZGVl6W2CSyB0kPEkHUYwgPuZSPCX5Zjy6m3a6M4aHYppDIgiVcm0liAGICYmxupnxpkLPuYTodkmKipKmaY6depUiyUUGrgENABw8uRJ5f3evXtbbYsFT/IHRxA6yAgdtBFBjE7MmjVLbxNcAqGDjCfpcAuRvMV25m95Hq/j5TYFMdboUKwqLmlUrU2wJ4gJJohg83RSHp0026k3rjt27Fib/V64cEFJNu7evbvNeTGe5A+OIHSQETpoI4IYgUDgVCLMoxEADWG+Vq9MspYSVSJupGpqSR3ExMbGWtVXLJHKeT7ae7qol0qnp6db1feJEycAeRfhbt26WXWPQCCwDRHE6MQHH3ygtwkugdBBxpN0MKpGSjD62jQSY40OxapE3EhVwJSfn6+cWzsSE6cafcnHt8U2BoOBPn36AFBeXs7PP2svwn6BcfyLkbzH6CZTSrbmxXiSPziC0EFG6KCNCGJ0Yvjw4Xqb4BIIHWQ8SYcI1UiJd5RtQYw1OhRTqZxHqhJx1XvFWBvExJp32QXIo+XCkcnJyUqi8PHjx1vt71Z+Zg7fM4N0ZSQGoEePHlbZY8GT/MERhA4yQgdtRBCjE44Uh/MkhA4ynqRDhHmkpAZ/vIIMNk0nWaNDsapIY6QqYKqvr1eeZW0Qk0c5axjF1wzhuGqER41lFAbgp59+arW/AvPITjhllBeXUVEhV/NOTk62yh4LnuQPjiB0kBE6aCN27NWJllY3dESEDjKepIMR+Q/3Ba9wvAxeNo3EWKNDGWVcwoA3DUReFngUFBQQERFBcHAwQUFBVFW1HJhY2MNx9rTxPPXqIvXoSksUqPJqoonk7NmzDBw4kJCQEIxGIyUlJW08TcaT/MERhA4yQgdtxEiMTixbtkxvE1wCoYOMJ+kQgbyxXZm3XAjSlpEYa3SQgFWM51Um8TZNE3jtXWathcFgoHv37kDTFUdaFOLX+HzCOHfunPLaltEYT/IHRxA6yAgdtBFBjE6IbaRlhA4ynqKDD96EmkdiynzCqKqqwmTS3kDucqzV4fds5w9sYxVNizCqk3utXaHUGklJSfj7y3vRqBN1tShQfaTGEMzZs2eV17YEMZ7iD44idJAROmgjghidMBiE9CB0sOApOkSYywAAVPp2smkqCRzXIS8vTzmPi4tzqC+wbSoJoEC1WiqGALtHYjzFHxxF6CAjdNBGKKMTBw8e1NsEl0DoIOMpOgTgRwbJFHlFUR4YZvMeMY7qkJubq5zHx8e32f4EXckhhm8Z0uJ124OYxuXl0fhSVlamBHJJSUlt3m/BU/zBUYQOMkIHbUQQoxPWfCB2BIQOMp6iw8/kMiXRxMZVL5D9/DSbR2Js0cELiCAEXxp3wy0pKaG+Xg4krAliEiggngJiKG/ev5eXUryxrKysyVSVFgU0JmBaMnIsozEBAQFW5+l4ij84itBBRuigjQhidOK2227T2wSXQOgg40k6WKpXg21JvWC9Dn9mAvUYKKGCUTQuP5UkSQk2oqOjW93uP5RggsxBRz6hza536dJF2R/GmnwYgAJzPhBADJcAmmyOl5CQYFU/nuQPjiB0kBE6aCOCGIFA4FTUQYytIzHWUo0X3ub8E+Nl5QIsU0oGg4Ho6GjNPmIxKud5LZQcUO+ya+034VyK2MAYXmcSX5vfUxfvS0xMtKofgUBgHWKfGJ1Yt26d3ia4BEIHGU/SwZEgxlodSsyjHACRqmXN0DS5Nz4+vslrNbGEA/IoSUslB9T5MNaOxJRSxm3sbvKePUGMJ/mDIwgdZIQO2oiRGJ3o16+f3ia4BEIHGU/R4R7G8fstZSQ+8wX1P1bYHMRYq4O6knXkZR9j1q5QiiOo8Z4WSg5Y8mEqKyvJycmxyq6WKCoqorZW3lnY2iDGU/zBUYQOMkIHbUQQoxNDhrS8GqKjIXSQ8RQdhmBgWs0Obij+L15l9TbnxFirQzE1ynnkZQGItSuUYlUjOPk03csmISGB4GC5rpK1ozCtkZ2dLdsaGank2bSGp/iDowgdZIQO2oggRids2QDMkxE6yHiKDhGqaR5TqDeVlZWttG6OtTo0LQJ5qcm1/Px8GhrkfJnOnTtr9hGr+vjLUwVF0LReUkZGhlU2XU4QPkp4pZ5Ssia511P8wVGEDjJCB21EEKMTf/3rX/U2wSUQOsh4ig5G6pTzcl/b671Yq0Oxakl0pOqZAJcuXVKmlOLj4zVXKMWpgp/8y5ZY27o/jJq/M5YKgqjERFe6ALbnxXiKPziK0EFG6KCNCGJ04oknntDbBJdA6CDjKTpEqEY0LniV2Xy/tToU0VhIMZrmwZIlaPD29tbMi4lVVcDOo2nujiWIqaysVKaCrKUBb4LNhSljzFWt1X1Ys3+Np/iDowgdZIQO2oggRiesmRfvCAgdZDxFB6P5j3c5IVysumjz/dbqUEc9F80BQnQLG9VZM/LxHCXcwtU8zBgKKVbeT0hIIChITvq1Z5OxAlWOTgxyXo06T6e1KS4LnuIPjiJ0kBE6aGNXEDN//nwyMzOprq4mLS2NcePGtdp+woQJpKWlUV1dzenTp5k3b16zNrNmzSI9PZ2amhrS09O56aabbH7uzJkz+eKLLygsLESSJAYPHtysDz8/P1auXElhYSEVFRVs2rTJ6g2onEl6evoVf6YrInSQ8RQdIswBxUWvcJuTesE2HQrNdZqiab4CSh3EdOnSpcX7f+Q0G/mB19nNJdXUkjofxr4gprGvGOTikVVVVZSXy9pYU9PJU/zBUYQOMkIHbWwOYmbPns3y5ct58cUXSUlJYefOnWzevFnzgyI5OZnPP/+cnTt3kpKSwpIlS1i5ciWzZs1S2owaNYr169ezZs0aBg8ezJo1a9iwYQMjRoyw6bnBwcHs2rWLp556StP+5cuXM3PmTG6//XbGjRtHSEgI//vf/654gS1RC0NG6CDjKToYzQHFRZ9wuza6s0WH3xDJeIYwhqhm19S75Nq6wZzjQUxjjk7iUwp1AAAgAElEQVSM6iPWMhrTqVMnZaRHC0/xB0cROsgIHVpHsuXYu3ev9MYbbzR579ixY9KSJUtabP/yyy9Lx44da/LeqlWrpN27dyuv//3vf0uff/55kzabN2+W1q5da9dzu3btKkmSJA0ePLjJ+506dZJqa2ul2bNnK+/Fx8dLJpNJmjZtWrN+goKCpC1btkhBQUE2aWTN8cwzzzi9T3c8hA6eo0MgAZIEkgTSnsDR0rBhw3TV4ZVXXpFSU1Olv/3tbzbdt2zZMik1NVV69dVX7XruaAYqOixjgvL+HXfcIaWmpkqpqalS9+7dPd4fnHEIHdxbh/b8G2o5bBp+8PX1ZdiwYXz11VdN3v/qq68YM2ZMi/eMHj26Wfsvv/yS4cOH4+Pj02obS5/2PLclhg0bhp+fX5N+cnNzOXr0aKv9hISEEBoaqhx+fn6abQWCjkoEjTv1Vvp1sms6yZlYppRCQkIICwtrci2cTvyKUVzNIKJoLMqYmJjoUD4MQCGNuUAxqv1nbK2wLRAI2samsgNRUVH4+Pg0q+aan5+vOc8bFxfXYntfX1+ioqLIy8vTbGPp057natlSW1vbbJi7rX6ys7OVgAvg22+/5b333uOzzz5j/vz5gBxQ+fj4MHnyZABWrlzJzTffTEJCArm5uWzYsIFHHnkEgG3btpGens4zzzwDQGpqKtdddx3JyckUFRXx7rvvsnDhQgB27dpFSUkJN954IwBvv/02EyZMoFevXly8eJE33niDp59+GoB9+/aRlZWlTNV98MEHDB8+nP79+1NdXc2yZct4+umnMRgMHDx4kBMnTiiFxdatW0e/fv0YMmQIJpOJv/71rzzxxBMEBASQnp7OwYMHueuuuwDYuHEjXbt2Zfjw4QC8+OKLLFiwgNDQUDIyMti1axf33XcfAJs2bSI6OloJEl955RUeeOABjEYjmZmZfPPNN4oOmzdvJigoiIkTJwLw2muvMWfOHGJjY8nKymLTpk089NBDAGzZsgWAKVOmAPD6668zY8YMEhMTyc/PZ+3atTz22GMAbN++naqqKq6//noAVq9ezdSpU+nevTslJSW89dZbLFq0CIDdu3dTWFjIjBkzAHjnnXcYO3Ysffr0oby8nJUrVyr2pqWlce7cOW6++WYAPvzwQ1JSUhgwYAA1NTW8+uqrPPnkk/j4+HDo0CGOHz/OHXfcAcD69evp3bs3KSkpNDQ0sHHjRh5//HECAwM5duwYaWlp3H333QB8/PHHJCYmKtOrL730Eg8++CBhYWGcPHmSHTt2cP/99wPw6aefYjQaGTt2LABLly5l7ty5REVFcfbsWb744gt+97vfAfIXBX9/fyZNmgTAihUrmD17NvHx8WRnZ7Nx40YWLFig+LzJZGLatGkArFq1ihtuuIGkpCQKCwtZs2YN991zH//9Nh//ygpKkpO57/rxVFdX8+abb3LNNdfQs2dPSktLWb16tTLlu3fvXvLy8pQcuB07djBr1iz69etHZWUly5cvZ/HixXh5ebF//34yMzO59dZbAVi7di2DBg1i0KBB1NXVsXTpUhYuXIifnx9HjhyhpqaGoUOHAnDNNddQU1PDsGHDkCSJnUs+5VP2yv/HYTN4NiSNe++9l+7duxMSEkJQUJDyGfXyyy8zb948IiIiOHXqFFu3buU3v/kNAJ999hmdOnVi/PjxACxbtoypM38Ja1cDEOtVyzOLZX85ceIEsbGxJCQk0KlTJw4fPqz5GXHixAmGDx/Otdde26E/I8rKyoiKilLyKDvqZ4QlsHa3z4iWclvbA6uHbeLj4yVJkqRRo0Y1eX/x4sXS8ePHW7wnIyNDeuqpp5q8N2bMGEmSJCk2NlYCpNraWun2229v0mbOnDlSdXW1Xc/Vmk664447pJqammbtv/rqK2nVqlWaQ2ExMTFSaGiocvj5+Tk8BHbttdfqPtTnCofQwbN0ePLJJ5UpE29v73bVIZ5o6VcMle5jtNSP5GbXBw0apNhy8803N7l2CyOVKZ+FTFTenz9/vnJPQkKC3TrU4CdJIB2kj/JeWFiY0vfvf//7DuEPjh5CB/fWweWmk4qKijCZTM1GLWJiYpqNkliwjLRc3r6+vp7i4uJW21j6tOe5Wrb4+/s3KVBnTT8VFRWUl5crR11dnWZba7F8Q+noCB1kPEUHy+9WeXk5ly5daqN1c2zRYQq9+JQDvM0efkHzhQWZmZnKeY8ePZpca6nkgMFgcGh/GDUFRAIQo1o5dfHiRWpq5H102hpB9hR/cBShg4zQQRubgpj6+nr279/P1KlTm7w/depUdu/e3eI9e/bsadZ+2rRppKWlKVspa7Wx9GnPc1ti//791NXVNeknLi6OgQMH2tSPQCBojpeXl5J7Ys/KJFspVG2sF93CR1llZaXy5SQpKanJzr1xqr1cLCUHevToQWBgIADHjh1zyLbfkcQ0RnC9OZixYMmLiYyMFLl1AoGTsGnoZvbs2VJtba00d+5cqW/fvtKyZcuk8vJyKSkpSQKkJUuWSO+//77SPjk5WaqoqJBeffVVqW/fvtLcuXOl2tpaadasWUqb0aNHS/X19dKiRYukPn36SIsWLZLq6uqkESNGWP1cQIqIiJAGDx4sXX/99ZIkSdLs2bOlwYMHK9NWgPTGG29I58+flyZPniwNGTJE2rJli3Tw4EHJYDDoMhQmDnF4yhEZEi29vlKeLnnwwQfb/XnD6KNMCb3B+Bbb3HPPPcoUTrdu3ZT332Sccu9gekuANGvWLKXtyJEj28Xmu+++W3mG+rNLHOLwxOMK/Q21/ab58+dLZ86ckWpqaqS0tDRp/PjGD5B3331X2rp1a5P2EyZMkPbv3y/V1NRImZmZ0rx585r1efPNN0vHjx+XamtrpWPHjkkzZ8606bkgf2C1xHPPPae08ff3l1auXCkVFRVJlZWV0ieffCIlJiZe8f+ABQsW6O5grnAIHTxHh1f8pkkSSBfoJD067L5216EL8Uog8h9aDjrGjRunBA1Tp05V3v+MYcq9UURKgPTcc89Jqamp0qpVq6SQkJB20Wjq1KmKPeovaZ7oD844hA7urcOVCGJsWp1kYdWqVaxatarFa3Pnzm323o4dOxg2bFirfW7cuJGNGzfa/VyA999/n/fff7/VPmpra1mwYIGSUa0XoaGhuj7fVRA6yHiCDkbzDE0YZZTV21a92oItOhS2UT8J4NSpU8p5v379+PrrrwHobN5ZuA5fiinGaDQqy57PnDlDRUWFzbZbg6UwJbS+zNoT/MEZCB1khA7aiNpJOpGRkaG3CS6B0EHGE3SIoF45LzDZlxNjiw411FJhrk0UTctBR15eHiUlcrDTu3dv/P3lMgCdzbWScolBgiZfso4cOWKP6U2IIYIpDGQOV9NLlXRs7V4xnuAPzkDoICN00EYEMTqxa9cuvU1wCYQOMp6gQ7jUmGibV1tkVx+26lBIBNBy/SQLhw8fBsDHx4d+/frhgzcx5iAmx3y/usTJ/v37bbKhJa6nH19zlH/xA1PoprxfXFxMfb0c7LUWxHiCPzgDoYOM0EEbEcTohGWjp46O0EHGE3QIb5CnkBrwIrsix64+bNWh0FzJ2kgpBtWKIzXqkZVBgwYRSThF5uAlh2Di4+OVGmxnz56loKDAHtObUECtch6jskuSJGXFVHR0dJMVU2o8wR+cgdBBRuigjQhiBAKBUwhrkPNMLhDOhbL2X2INUIi8k6kBiajLljNbyMjIUPZ2uuqqqyjyvkA0pQTgzQMcY9SoUUrbvXv3OsWuAtX0VjRSk2uWKSWDwUBMTAwCgcB+RBCjE5s2bdLbBJdA6CDjCTqENZQBcNEQRnV1y4m2bWGrDrkEcIEwjtOdEFquDG0ymZTRmNDQUGXjsFouURtoUkoGNDQ0kJaWZpfdl1PQpH5S080x1XkxWpveeYI/OAOhg4zQQRsRxOhEdHS03ia4BEIHGXfXwQuIQC74WObdye5+bNVhHruJ4CL9ySST85rtvvnmG+XcUksHYPLkyUpdmr179zptVZJ65VTMZSun1CuUtIIYd/cHZyF0kBE6aCOCGJ2wpfq2JyN0kHF3HSJ9o/CmAYCL3iF292OrDg3mZ7ZFZmYmZ8+eBaBLly6MHDmS2NhYZffuhoYGPvvsM5ue3Ro11FGGvCw2xryc24K6xIlWEOPu/uAshA4yQgdtRBAjEAgcJimks3JeZmh5WkdvvvzySwD83jjOM5mJLAu+EZ9yeausPXv2KLXcnEWBOXk4xjxCZSE/Px9JkvNkYmNjnfpMgaCj4QWXZZ0JFIKCgvjkk0+YPn06VVVVTu3b19dXWWrZkRE6yLi7DgN7DmT+yDkYLtTyY84pUg/+y65+2luHOXPmMH9TNuMqtwPw+vN/J7c2j2XLltmdx6PFLgYyhqMA+OKDyVxoEuDFF18kMjKSmpoaHn300Wb3urs/OAuhg4y76tCef0MtiJEYnXjggQf0NsElEDrIuLsOodGheI834nVjPD+F2V/92VYdQglmNWP5hOG8zIQ2269bt46IGnk6pwZ/MgpOsGLFCqcHMACFBCrnURibXLPkxQQEBLS4G6u7+4OzEDrICB20savsgMBxjEZj2406AEIHGXfXISIiQjm37JBrD7bqUEstv0XeCCySgW22lySJuEtyEJNDDH//x99tN9JKCvCnmgDyiSIUX/JU1/Lz8xkwYAAg58WUlzfNm3F3f3AWQgcZoYM2YiRGJzIzM/U2wSUQOsi4uw7qD1lHghhbdajDRLE59yS+lV17LQTiT6Q5RyWHcNsNtIEH2UcQNXQji5OcaXKtreRed/cHZyF0kBE6aCOCGJ2wFKLr6AgdZNxdh8TCSBo+yqZ+Swl1RXVt36CBPTrkmqdq4ilss20XGgOGc7RvUT0T2jqol1m3lNzr7v7gLIQOMkIHbUQQoxPz5s3T2wSXQOgg4+46XPVjPvO/+QsP/2cxPWvs34XWHh1yzaUHAqglnNb3qEmicdrrPL42P8tZtLVXjLv7g7MQOsgIHbQRQYxAIHCYsPrGlQfFGhWl24tcVQJtPFGttk2icQ+b81buMdMeXLx4kdpaub6S1l4xAoGgbUQQoxObN2/W2wSXQOgg4846BAUFEVJbprwuUm25byv26JCrWp8Q3+ZITGPBxfM4f0WSmigi+DtjWM8I/sD4ZtcteTGRkZHNCkG6sz84E6GDjNBBGxHE6IRlq/OOjtBBxp11MBqNdKqTA5cGvCi1IsFWC3t0yFVtdRWvUT/JQpJqr5bzDthpDQa8eZjdzGYf41VVrS1YppS8vLyaFYJ0Z39wJkIHGaGDNiKI0YmJEyfqbYJLIHSQcWcdjEYjYSZ5xU8p4TQ4sH+mPTrk0rgJWHwbeS5bucQ7jGELQzhPfqttHaW4Sf2kymbXW1uh5M7+4EyEDjJCB23EPjECgcAhjEYjEQ3nACj2igCptI07nEuWqjZRlzYCqDXsZU17G2TmEg0UYSSKEmIoa3a9rRVKAoGgbUQQoxOvvfaa3ia4BEIHGXfWIbJTJOHmPJgS7C/+CPbpcIo81jKGs/ix47Jii3pTQLg5iGm+d05rIzHu7A/OROggI3TQRkwn6cScOXP0NsElEDrIuLMOMd6NK4KKVCuF7MEeHQoo5k528wzb+JL9Dj3f2RSY96IJoZLAy7RRBzGXj8S4sz84E6GDjNBBGxHE6IQYPpYROsi4sw6RqhVBhZJje6+0pw5++OPfRuKvsykkQDmPJrLJtfr6emV348tHYtzZH5yJ0EFG6KCNCGJ0IisrS28TXAKhg4w769DJJ5ACr2hMeFPk4EdKe+ownRRqqCKPaO5pYclze1CAn3Ie08Lyb8toTGBgYJNCkO7sD85E6CAjdNBGBDE6sWnTJr1NcAmEDjLuqoO3tzehk+P5f6v+wv8t+gPP8J1D/TmigzdeJBFLiMZoSw/8AYilkGrVUuv2pAAv5TyG4GbXtZJ73dUfnI3QQUbooI0IYnTioYce0tsEl0DoIOOuOoSHh+PlJf+hLr1QSr2Du+Daq8PDjKMGA+fIZyqDWmzTRxW4nKDYrufYSoFKjxhzEKVGq/yAu/qDsxE6yAgdtBGrkwQCgd04q3q1o5RwCR8uAZCsykNR01u1zPkkV2Z4Pp0y1jGWQnzJoPnS87aqWQsEgtYRQYxObNmyRW8TXAKhg4y76uDsIMZeHc6qApRkjb1i+pANQBZxVJLXYhtns5PD7GzlutZ0krv6g7MROsgIHbQRQYxAILAbo9GI/+tHicn5mVsr/TlIuENlB+zlDIXKeTI1za4bCSPKvFfLCeLgCgUxbXHhwgVqa2vx9/cXK1AEAjsQOTE6MWXKFL1NcAmEDjLuqoPRaKTHmaP8sngTv6vZjEGVyGoP9uqQRwG15pVAyS1M2/QmQTnPILTZdT0pKCgAIDo6WikE6a7+4GyEDjJCB21EECMQCOzGaDQSWiePvDha/NERJOAsnQHoSVazYKo3Ecr5CQcDLXsJ1hj4VheCjI6OvpImCQRujwhidOL111/X2wSXQOgg4646GI1GIkzyNE0xRoeKP4JjOhxBno4JopoedG1yrQ/eynkGVXY/wx720Zca/PiJqBavt7RCyV39wdkIHWSEDtqIIEYnZsyYobcJLoHQQcZddTAajUQ1FAFynSBHcUSHw6olzFfRdKVPb2qV8xMU2P0Me/ClAX/qiNFY1t1S+QF39QdnI3SQETpoI4IYnUhMTNTbBJdA6CDjjjoEBgbiU+tDsHlko8AJuSaO6HCYauX8qsv2ZLmXQwylJ7czgrNXaHm1hQJzUUw/6gknrNn1lkZi3NEf2gOhg4zQQRuxOkkn1N++OjJCBxl31MFoNNKQV6e8LtDYn8UWHNHhR3KU8x6X7chbSS0HOcVBu3u3nzyVLvFEccFc8duCJbEXGkdi3NEf2gOhg4zQQRsxEqMTa9eu1dsEl0DoIOOOOkRFReFV2DhNk6+qE2Qvjuhwjmyu5Wriiecudjlsi7PIUX1X7NxC/aS6ujpKS+UVVZaRGHf0h/ZA6CAjdNBGBDE68dhjj+ltgksgdJBxRx2ioqIwFDdO4RQ4YdWPIzpIwFf8QB65DtvhTHJUyc6dNeo6WaaUgoKCCAkJcUt/aA+EDjJCB21EECMQCOwiKioK35JK5XWBedt/V+N5JvF/XMMvGK7L4uocVVJxZ40ZfFF+QCCwD5EToxPbt2/X2wSXQOgg4446REdHU0cEn5y7lUt55/lJutj2TW3gbB28gAUcIIwycokx7yRzZcmmQjnvrLEE/fLyA+7oD+2B0EFG6KCNGInRiaqqK7tXhasidJBxRx0iIyPxviaS84snMEv6np0ccbhPZ+hwDYNYzVj20J/h9CPMXFdpD90c7tseclQ7CHemrsU2lwcx7ugP7YHQQUbooI0IYnTi+uuv19sEl0DoIOOOOkRFyZu3FRUVOa1PZ+jwDN78ll2M4hhrVMuuv8DX4b7tIU9V16mzalRGzeXTSe7oD+2B0EFG6KCNmE4SCAQ206lTJ3x95aDAmUGMM9hACL8wn/fhLAD5RLGGH3Sxpw4TsxlPITWcp+VK36WlpdTX1+Pr60tcXBy1tbUtthMIBE0RIzE6sXr1ar1NcAmEDjLupoNlFMZUJVFY6Lwgxhk6fMwx6i/7fraCAdSgX2DwETvZxg9kclqzjWVKKSoqirfeeutKmebSuNvvRXshdNBGBDE6MXXqVL1NcAmEDjLupoMliLnlied4a8NnbGewU/p1hg5FlHA/IzhvTuPNpAurdNnmzjYsU0oGg4GZM2fqbI1r4G6/F+2F0EEbMZ2kE927d9fbBJdA6CDjbjpERUXRYGogSirCmwYCNRJWbcVZOqxhN//Ci370IIciLpiTe10ZdXLvgAEDdLTEdXC334v2QuigjQhidKKkpOW58Y6G0EHG3XSIiopCKr6ENw0AFBDslH6dqUMDEumtTN9cSWIxMpgEOhPETnI4zc/N2qiTeyXJsWrgnoK7/V60F0IHbcR0kk6IOW8ZoYOMu+kQGxtLQ25jjknBZQUX7cXddLCWm+jPlxzhXb5nIl1bbKMeiTl06NCVMs2l8VR/sBWhgzYiiNGJRYsW6W2CSyB0kHE3HWJiYjAU1CivC5w0qOtuOlhLDo1aJeDdYhv1SMzs2bPb3SZ3wFP9wVaEDtqIIEYgENiEv78/oaGh+BQ17nmSo7ETrUDmZ1Xl6i7mKbjLqaur48KFCwCEhIRcEbsEAndHBDE6sXv3br1NcAmEDjLupENMTAwAAcXlyns5TkrsdScdbOE8Bcp5Etq7r1qmlEpKSggOdk6ekTvjqf5gK0IHbUQQoxOFhYVtN+oACB1k3EkHSxATVNY4upBLpVZzm3AnHWyhhItUmitYJ6nKEFyOJYipqakhNjb2itjmyniqP9iK0EEbu4KY+fPnk5mZSXV1NWlpaYwbN67V9hMmTCAtLY3q6mpOnz7NvHnzmrWZNWsW6enp1NTUkJ6ezk033WTXc5977jmys7Opqqpi69at9O/fv8n1rVu3IklSk2PdunU2KuA4M2bMuOLPdEWEDjLupIMliOlU0bhiIocLTunbnXSwlfPI1amTyNNsY8mLSU5OJj4+/orY5cp4sj/YgtBBG5uDmNmzZ7N8+XJefPFFUlJS2LlzJ5s3b6ZLly4ttk9OTubzzz9n586dpKSksGTJElauXMmsWbOUNqNGjWL9+vWsWbOGwYMHs2bNGjZs2MCIESNseu6iRYt4/PHHefjhh7n66qvJy8vj66+/bja//M9//pO4uDjlaCmoEggELWMZIYioLlbey0V8U2yL84QDEEwVRiJabJOTk6Ocd+6sR81tgcD9kGw59u7dK73xxhtN3jt27Ji0ZMmSFtu//PLL0rFjx5q8t2rVKmn37t3K63//+9/S559/3qTN5s2bpbVr19r03JycHGnRokXKaz8/P6m0tFT67W9/q7y3detW6bXXXrPqZw0KCpK2bNkiBQUF2aSRNUd8fLzT+3THQ+jgfjosXLhQSk1NlV5/+G/SDYbh0q8Z1SF1sPX4J+MkCSQJpCH0abFNSEiIlJqaKn3wwQfSY489prvNeh+e7A8dQYf2/BtqOWwaifH19WXYsGF89dVXTd7/6quvGDNmTIv3jB49uln7L7/8kuHDh+Pj49NqG0uf1jy3W7duxMfHN2lTV1fH9u3bm9l25513UlhYyNGjR1m6dGmbKwFCQkIIDQ1VDj8/v1bbW8PYsWMd7sMTEDrIuJMOlumk8kQTnzWksYa9TuvbnXSwlfOqpdVJhLXYpqKigrKyMuLi4khISLhSprksnuwPtiB00MamzR2ioqLw8fFpsp8ByPO4cXFxLd4TFxfXYntfX1+ioqLIy8vTbGPp05rnWv5tqU3Xrl2V1//61784c+YMeXl5DBw4kJdeeonBgwczbdo0zZ87OztbCbgAvv32W9577z0+++wz5s+fD8gBlY+PD5MnTwZg5cqV3HzzzSQkJJCbm8uGDRt45JFHANi2bRsjR46kT58+AKSmpnLdddeRnJxMUVER7777LgsXLgRg165dlJSUcOONNwLw9ttvM2HCBHr16sXFixd54403ePrppwHYt28fWVlZylTdBx98wPDhw+nfvz/V1dUsW7aMp59+GoPBwMGDBzlx4gS33XYbAOvWraNfv34MGTIEk8nEX//6V5544gkCAgJIT0/n4MGD3HXXXQBs3LiRrl27Mnz4cABefPFFFixYQGhoKBkZGezatYv77rsPgE2bNhEdHa0Ekq+88goPPPAARqORzMxM+vbtq+iwefNmgoKCmDhxIgCvvfYac+bMITY2lqysLDZt2sRDDz0EwJYtWwCYMmUKAK+//jozZswgMTGR/Px81q5dy2OPPQbA9u3bqaqqUsrZr169mqlTp9K9e3dKSkp46623lH0Ydu/eTWFhoTIH/c477zB27Fj69OlDeXk5K1eu5JlnngEgLS2Nc+fOcfPNNwPw4YcfkpKSwoABA6ipqeHVV1/lySefxMfHh0OHDnH8+HHuuOMOANavX0/v3r1JSUmhoaEBg8HA448/TmBgIMeOHSMtLY27774bgI8//pjExERlevWll17iwQcfJCwsjJMnT7Jjxw7uv/9+AD799FOMRqPyobd06VLmzp1LVFQUZ8+e5YsvvuB3v/sdIH9R8Pf3Z9KkSQCsWLGC2bNnEx8fT3Z2Nhs3bmTBggWKz5tMJm644QYmTpxIeno6Xbp04ZlnnqGwsJA1a9bw+OOPA7Bz507Kysq44YYbAHjzzTe55ppr6NmzJ6WlpaxevZqnnnoKgL1795KXl6fkwAUEBNDQ0EC/fv2orKxk+fLlLF68GC8vL/bv309mZia33norAGvXrmXQoEEMGjSIuro6li5dysKFC/Hz8+PIkSMcOXKEOXPmAPDRRx/RvXt3hg0bhiRJLFmyhEcffZTg4GCOHz/O999/z7333gvAf//7X+Li4hg1ahQAL7/8MvPmzSMiIoJTp06xdetWfvOb3wDw2Wef0alTJ8aPHw/AsmXL+PWvf010dDTnz59v8hlRvTqdqqJAsgwJjLl6LFuPHW/xM6J///7ExsbSrVs3nn/+eWprazvsZ0RCQgLbtm1Tpvw76mdEr169+M9//uMWnxGWv6WrVq1qMbe1PbBpSEuSJGnUqKbDx4sXL5aOHz/e4j0ZGRnSU0891eS9MWPGSJIkSbGxsRIg1dbWSrfffnuTNnPmzJGqq6utfu7o0aMlSZKkuLi4Jm3++c9/Sps3b9b8mYYOHSpJkiSlpKRoDoXFxMRIoaGhyuHn5+fwENiCBQt0H+pzhUPo4F46dOvWTUpNTZVSU1OlOXPmdFgd7DkMeEvg1Wa7W265Rfruu++k1NRUqW/fvrrbrefhyf7QEXRwuemkoqIiTCZTs1GXmJiYZiMgFiwjLZe3r6+vp7i4uNU2lj6tea5laTwGLsAAACAASURBVKIttgEcOHCAuro6evXqpdmmoqKC8vJy5airc3xPjJUrVzrchycgdJBxFx0sK2bqTtbQeZuJiaQQTbTT+ncXHeyhgUvIn7utk52dzdGjRwFITExsZ6tcG0/2B1sQOmhjUxBTX1/P/v37m5UFnzp1quZmPHv27GnWftq0aaSlpWEymVptY+nTmueeOXOG3NzcJm18fX2ZOHFiqxsFDRgwAD8/P3Jzc1v70Z2OZbixoyN0kHEXHSxfEvx/yGdpzga2cZA76Oe0/t1Fh/YkOzuboUOHAnT4vBjhDzJCB21sLniybNky1qxZQ1paGnv27OG3v/0tSUlJpKamArBkyRISEhK45557ADnf4+GHH+bVV1/lzTffZPTo0dx///3KvB/I82w7duxg0aJFbNq0iRkzZjBlypQm+8C09VxAmT8/efIkJ0+eZPHixVRVVbF27VpALmd+55138vnnn1NUVET//v159dVXOXDgALt27bJPQYGgA2EZiQkoKVPey3XSbr0CmZycHKWKdUcPYgQCa7B5Dmr+/PnSmTNnpJqaGiktLU0aP368cu3dd9+Vtm7d2qT9hAkTpP3790s1NTVSZmamNG/evGZ93nzzzdLx48el2tpa6dixY9LMmTNteq7leO6556ScnBypurpa2rZtmzRgwADlWmJiorRt2zapqKhIqqmpkU6ePCktX75cioiIuOLzeddee63u85WucAgd3EuHF154QUpNTZU2JN6pLBcey6AOp4O9x4OMkT5muHSInlIAAZrtPvzwQyk1NVX6xz/+IXl5tZ1H46mHp/uDp+twJXJi0PuHdOWjPf8DOnrCntDB/XTw8fGRVq1aJaWmpkqfh05TgphuJHYoHRw5PmCMolt/emi2e/bZZ5UEassCiI54eLo/eLoOLpfYK3AeliV3HR2hg4w76BAbG4uXlxcAUdVyQcMGvMhGO3HeVtxBB0c4rZrB70GkZruePXsq5x15SsnT/cFahA7aiCBG0O50IY5XmMBBerONq/g94/HHV2+zBDairuWTYJIT4fOIoY56vUxyO06ptOpJoGa7srLGnKOOHMQIBG0hghid+PDDD/U24YowhN4coI6F7GAIJ5jIYVayk830J4SgDqNDW7iDDpZaPpeqLtHZPPpyniinPsMddHCE0zRW/u6BpNnu7bffVs478jJrT/cHaxE6aCOCGJ1ISUnR24R2pxdJfEs+UcjVjhvwUq5dw498Rk+GDh6ql3kuhTv4g+WPacPPjauRzhPq1Ge4gw6OcFpVwbonlZrtunbtSm1tLdCxR2I83R+sReigjQhidGLAgAF6m9CueAFvEU6E+ZvndwwiDiPjGESJuZrvBA4z6XTL5So6Gu7gD5Yg5tKZxtGEczheR0yNO+jgCIWUUGYO/Hq0Uvl7wIAByt5VUVFRTqnX5o54uj9Yi9BBGxHE6ERNTY3eJrQr/vjzE50AOE0S15FJIcXs4gjT6UItfrzANZybGKSzpa6Bq/tDYGAgRqMRgIqiUs6QSD0+nG9lSsQeXF0HZ3AaeVoumWx8VEUh1dTU1JCVlaW87qijMR3BH6xB6NA6ui/DctXjCq1x9+hjIoOlcS3sIxJHx1026o5Hz549lSW/d9xxhwRIBpD88NHdNnc7NjBSWWbdnSTNdhMnTlQ0nzRpku52i0Mcth5iibUH8+STT+ptwhVhOz/yHUeavZ9nTgztKDq0havroE4utYwQNAB1mJz6HFfXwRmcxl8576lRd+rJJ5/k3LlzyuukpKR2t8sV6Qj+YA1CB21sLjsgcA4+PkJ6EDpYcHUdWgpi2gNX18EZbKOSYCaRDqRzosU2Pj4+ZGVl0dDQgMFgoGvXrlfWSBehI/iDNQgdtBHK6MShQ4f0NqFdmMRgjATwCWmYuNRm+8xvf+IFxjOHMwyjnFLVEtSOhKv7gyWIkSSJ7OzsdnuOq+vgDL5kP1+20ebQoUOYTCZycnJITEykc+fO+Pr6Ul/fsfbk6Qj+YA1CB23EdJJOHD9+XG8T2oU/ARv5nvNE0oX4tpozdn8Zz7CTbmRxD1e1u32uiiv7g7e3txLEFOQX8GVdf9YxhseY5PRnubIOVxKLDpYpJS8vrw65X4zwBxmhgzYiiNEJdRVvT6Ef3ZnIjwCUEsLP5LZ5T8FNw5Tz3/Fzu9nm6riyP3Tu3FkZzs45lMUkDnE7u5lGudOf5co6XEksOpw/f155ryNOKQl/kBE6aCOCGIHT+A2N3xRXY923xku9vNnKEAD6cJYJHXg0xlVJTk5WzuuPlSrnpxDL4x0hhk5MZgBhrWwYePbsWeVc/f8gEAhkRBCjE+vXr9fbBKdiwIvbyACgFj/WmEdk2mL9+vW8qaohc6d5b5mOhiv7g/qPZ1Bu4y6zJ1U7MDsLV9bBmTzHePIp4xvSGU2fZtctOmRlZWEyySvAunXrdkVtdAU6ij+0hdBBGxHE6ETv3r31NsGpTGCQUk9nM0OaJOh6e3vTrVs3RowYQUpKCnFxjbv09u7dm00cooJgAG7hKH4dMN/clf3B8sezoaGB+PJq5f2TrWybby+urIMzOa1amj7Q7PtqLDpcunSJn3+Wp1ljY2MJCupYo18dxR/aQuigjQhidMLTamHcTphy/m/zLqT+/v7MnDmTV155hSeffJL77ruPefPm8ac//Yk//vGPjBw5kpSUFKqo5r8MBsDIBa41Ty91JFzVH/z8/JTq1dnZ2fSkcefQUxQ5/XmuqoOzOarSbmALe+2odcjMzFTOO9poTEfxh7YQOmgjghidaGho0NsEp+GDN7dwFIBKgviUQ/Tq1Ys//elPXHvttQQHN/+mmZCQwNy5cxk1ahShoaGspVa5NgffK2a7q+Cq/tC1a1e8vORpo7Nnz9ITOSfGhDdncf5+Ma6qg7P5iXOYzMF+CgXNrqt1UAcxPXr0aH/jXIiO4g9tIXTQxgt5615BCwQFBfHJJ58wffp0qqqq9DbHZbmeYXzOfgDWMZrlIy5xzz334O0tf0ibTCYOHTrE2bNn8fPzY8CAAU0+jIuKinh9+escLqolihKqCCQWAxXtMF0hsI3rr7+eGTNmAPDeu+/x1fdHCaWC03ShZwdeTeYM0ujLMH6iAS/CCaacihbbRURE8NJLLwHyUtsVK1ZcSTMFAru5En9DxUiMTjz++ON6m+A0bldto74tPob77rtPCWB++uknnn32Wd566y22bNnC559/ztKlS/n73//OhQsXuOqqq4iKiuLRhY+y0SCvTKrDj4F0rGFzV/UH9Vx8yU/FhJr/0J4kpl2e56o6tAd7zSUHDEhcTc8m19Q6lJaWcuHCBUCeTrKMjHUEOpI/tIbQQRsRxOhEYGBg243chGUU8QoTOezVh6v+MEV5f8eOHaxYsYKSkpJm96Snp/PSSy9RWSmPtoSFhVF02wRm+0wgjhr2mqenOgqu6A8Gg0EZMSstLSX6YoBy7WQLyajOwBV1aC/2qna0HqXKKYPmOlimlAICAjrUpncdyR9aQ+igjQhidOLYsWN6m+A0fuQEr0Qe5ZtX5+ETLOez7Nixg7Vr1yJJ2rOVFy9e5O233yY3V94UL2piZxIeHkqdV90VsduVcEV/6Nq1K35+fgCcPHmScxTwGON4g3F8Q3Ubd9uHK+rQXuxV5RSNoulQ++U6nDjRWGOpI61U6Uj+0BpCB21EEKMTaWlpepvgNHx8fJg/f76y/PPHH39k3bp1Vt27a9cuVqxYQVlZGQB9+/Zl+vTp7Warq+KK/tCrVy/l/MSJE2SRz3K+4yG+YxM/tMszXVGH9uIU5ykmAoBRZDa5drkOGRkZynlHCmI6kj+0htBBGxHE6MTdd9+ttwlO46abblKGuPPz83nnnXdaHYFRc/fdd3PhwgVWr16tZOBfd911dO/enUBVro2n44r+0KdP4yZsJ0+evCLPdEUd2pO99KAOX34kmVDVzr2X65Cbm6tMvaqDS0+no/mDFkIHbUQQI7CbaxnKs8G/ZGKP8YC8Cmn16tXU1ta2cWdzTp8+zSeffCK/+KqA1YXdKcJAAnGt3yhoF/z8/JQgprS0lPz8fJ0t8kwepYQoQpjKfsrbqEVlmVIKCgoiISHhSpgnELg8IojRiY8//lhvExxmAQb+XPk5D//1EUz7y/j444/JycmxqQ+1Dl9++SWZmZmEHstmSvkWgqjmNjrG0Lmr+UOfPn2Uoo9HjhwhmCDGM4Rw8/RHe+FqOrQ3p8iknNJm77ekgzovpm/fvk2uXUUSM0hhOkOII9z5hupER/MHLYQO2oggRifcfYVBJBFM5RAAWV6JnAnJ59tvv7W5H7UOkiTx7rvvUji5cQ+ZOV7FjhvrBriaPwwaNEg5P3LkCMPpxQ4OUUopLzCp3Z7rajroRUs6/PTTT8p5//79AbiHqzlGMj9ynv9ykE0cIpcL/B8Trpit7YnwBxmhgzYiiNGJESNG6G2CQ/w6cAS+5u3Sdyddw4drP7Srn8t1KCws5L/HPueIr7xnzDApnX4+nr9Lqav5gyWIMZlMZGRkcJVqCfBZ6tvtua6mw5XEAIQTArSsQ25uLqWl8qhNr/BkvmAI7/ED/TjbpF09PmzAthFRV6Uj+4MaoYM2IogR2IyXlxezGy4or7+MqHdqzsT27dvZmThMef27CFE35ErStWtXIiLkaaOMjAzq6uq4isZtzw+3MP0hsJ8oInifUeQTwYf0bbVteno6DZmV/HLJG1xrHgkF2E4Kz/ALXuYa/sxETnCqvc0WCFwGSRwtH0FBQdKWLVukoKAgp/dtMBh0//nsPaYP/5V0CS9JAumkobtk8LL/Z9HS4arwAZIEkgTScZ++UpcuXXT/udvzcCV/uPXWW6XU1FQpNTVVGjt2rARIe+kvSSBdwksKxvm/D66ow5U6vDFIZ0lQ/L03XTV1mN7tGinHK15pm0OMdB2j23zGAJJ1/zmFP3Q8Hdrzb6iiDQJdePDBB/U2wS6MRiMzq7pgQALgY99eNEj2FyfT0uHwhXT2essjMH1NPzF3+B0evd26q/iDl5cXV199NSBPJR04cAB/fBli/mZ/iq5U0n51xFxFhyvJJRr4u6rswCN00dTB7+d6YqU8AE4YejGKAL5gj2bfBuB1RnOQLEa0McrjinREf2gJoYM2IojRibCwsLYbuSB33H4Ho080JvD+s/a4Q/21psOHlxr3zej3YxGTJ0926FmujKv4Q58+fejUqRMgJ/RWV1czlD74I++ivJv2XdrrKjpcad7mIBXmUg4P8D3R51veZv4/pu9Y3vu3HPQdypf/9yj18a3nJ93PGB5kD76Y+DcVhNHJ6ba3J67qD/740p/uDKYnndqpBIcaV9XBFRBBjE5cqc3DnMmwYcPoV9WFPiZ599DvuIrTnHeoz9Z0+IhjXDK76Miz3zL9xukYjUaHnuequIo/TJjQuKpl3759AIylUfNdtO9omKvocKW5QBkrGA6AH/X8+tP1DKArCYQTS2STtp92zmDP0gfw6+zN0KFDW+33Xb5nNwMB6EYWKxjUantXw9X84Wr6soGRlCORTiaHOMVFKtlCCjea///aA1fTwZUQQYxO7NixQ28TbCIwMJDbbruN+K8PK++954Rvda3pUEAR3zAEgCpDCN7FXtx5550OP9MVcQV/MBqNpKTIU3hlZWUcPiz/X4+hRmmzu51XvbiCDnrxJ3axlwEAdJPOc5RzZHGB5+nXpN2hQ4fwDpA/ui3/X1qYuMTtFFNqXl12D7uYxrBW73ElXM0fHiSMW/leWZlp4Rcc5BPS+H+MIArnf9FyNR1cCRHE6MT999+vtwk2MXPmTDp16kTew2NY2ud+tpDCR/zocL9t6fAU1Qz26cv/XrgLnwQ/BgwYwPDh7feNRy9cwR+uueYaJe9o27ZtXLokV1key2kASgnj+GU1fpyNK+igFyZM3MZFTtG1yfv38j1diFVeX7hwgTNnzgDy/iHR0dGt9vszufxBNQLzT/IIvgJTIM7A1fzhUY6QTSz5RPEvxvAO4zip+v+6iX3sJZhel/0fOoqr6eBKiCBG0Cbdu3dXphlMQZd4qeBjpnKQsja2SXcGBznOYdNPTQpK3nbbbUqxSYFzCA0Nbfw/NpmUb34RdOJnojDhzR56mdO5Be3FebIYRAGp3e5nO0P4lqG8xniqaZo8f+DAAeV81KhRbfb7Dt/xDfKoTVeyedGNRmNciYtUMQFvkrjIXezmfr6jD+eYzWgKzNN+PfiZl+mss6UdBxHE6MSnn36qtwlW4e3tzV133aW83rRpk7LhljOwVocff/yRgwcPAvIf3FtuucVpNrgCevvDjTfeiL+/XHDzu+++o6KiAoBSyhhOBuH4Mp+sdrdDbx1cgRqqWRX6A5M4xC84wFN8SxGFTdrs27dPKbI6evRoq/r9LYVUIScM/56djDLnyrgyevpDMIGkMgEjUU3ezySHOtWGjxLwEXsYii+H6cXXDOfXHHWqLeL3QhsRxOiEuySoTp06lc6d5W8V586dY+vWrU7t3xYd1q1dR812+cN8zJgxTaosuzt6+kNiYiLjx8tFPGtqavjf//7XrE0lNZwnr91tcZffi/amLR0uXrxIenq60taa34VMsnjWnHxqQOJNavDF13Fj2xE9/eE9rmIeO9hOBHHmkRWDwUBCQgLDhg1j4sSJTJo0iREjRpCcnEyBbzHjyedG0qly8ii1+L3QxkdvAzoqY8eOZdu2bXqb0SoJCQn86le/AiB42QEGn/6J4VI/fuCY055hrQ43cTV/KS9h4Lo/8g//v+I7Kow777yT559/HpPJ1Ob9ro5e/uDn58dvfvMbJRfmiy++UEZh9MAdfi+uBNbosGfPHgYOlEdTxo0bR0ZGRpv9Luc7bqcvw/mJSgKIIopccp1hcruglz88zURuYTsAXcjn6uSRdL72Rvr160dAQECL95hMJk6dOsUPP/xAWtr/b++8w6Oq0j/+mZIp6Y2QADGAEEIRgiCQ0FyaFKWIgOAiCAiKu8pvXZEFFV2wl11jBUUQVlEEgSAdBEQIYBADKdJJII30PjOZmfP7Y5KBSZ1AKrmf57kP5N73nnPv977n3ndOjUSv1wOgwQE9xbfVFCuVi8qRamIkKkSpVDJ79myUSiXmQjMPnNvEFNMvHOEcLcoM+awPvFHTraSDqf9my8vFx8eHMWPG1Pu1NCQyYDg9+YiBHKEbl2hDNHeznd74UHUHz3JpyWTMnDmTli0tnUYTEhLYu3ev9bgrLsjqeEi1xK0TFRVFQUEBYJn+wJ65REwI5mDiWYYQSmyjDmAaitH0ZjmWPmFmZKwa8jRjFk2kZ8+elQYwYHlnBgUFMX36dN58801GjRpFB1VrjtCOVxlcX5ff7JCB1FevMhwdHQkPD2fs2LEUFtbuLKUqlQqDwVCradYmjzzyCMOGDQNA98lpnjvzKQDfEsJjVcwQWlPs1UGLhqto8SILAw58/uLbqNs5IoTg/fff58KFpr1WjD06TCWEpSTTqcyCfwA5uOJFASZMduc3c+ZM6zwjer2e5cuXk5Z2o+/FGvrzAOf4iSAWE0ca6fbf0C3S2MtFfWGvDmPHjmX06NGApRZty5YtdX1p9Up9+0MgbTlBJm7kAvC/oKcoWBBsPZ6fn8+ff/7J1atXycnJQQiBs7MzrVq1IigoCC+vGz/wRJ6RcQtfx09YAsVJ9GMjx27puppquajLb2gpUk1MA/HEE0809CVUSlBQkDWAMRQaGHNmu/VYGDm1mpe9OhShYyWWla1VFOP0maVvjkwm48knn8TZ2blWr6u+qUqHtrTmAD34lohyAUwGHhTgyCGCygUwHfBHUUFNSnBwMC+99JI1gDEajaxYscImgHHHlcmcxJc0JhFFXj2MRIPGXS7qE3t1uHko/KBBg6yds+8U6tMfXHFhKzJrALPPfST5z/YALLVeH374IS+88AJffvklu3fv5tixYxw/fpz9+/ezbt06lixZwhtvvEFERARmsxmZi5I999wYgLCG09xz0/ISNUEqF5Uj9YlpILy9vas3agC8vLx48sknrX9fe+8wHYgHYB89Oc6pWs2vJjr8lxieQ4sjRUzL3cvLhzvQcWAn3NzcmD17NmFhYdYRG02NynToQUcOkYobidZ9B+nBJ2iJcEnAuZULjlpHPBycGeY2DLnc8rvEsUDNp0eOE68I5r+921PoY8DHx8dmWQGw1MCsXLmS2Fjbfk5PEIy2pEp9DcHoqJ/Jthpruahv7NUhNzeXEydOEBISgqOjI8OHD6+wY3ZVhBDIO6iYxHVSuH4rl1tn1Jc/yIDvHLoTVHwEgDhlZ87960EunD/Hhg0bSExMrDqBEhISEvj666/Zvn07o0ePpt+8fuxYOo7R6VtxopCtMgP95C24bkqrPrGbkMpF5UhBTANx5cqVhr6EcqjVaubPn4+Tk2UirJhTMfwt6Tfr8X/b2VRRE2qiw3XS+ZxB/INf0KIjYP0pcnv44erqSufOnXnwwQeb7FDEynSI5gIR9GQkv3OZNvzn7gEox/oR6u/PsCrmygl8cRN+XMfPdJ0Vxy+yfvhzyO6zXffo0qVLrF692qYGBkCOjKdLAleAz25zaYma0BjLRUNQEx22b99O3759kcvlDB8+nIMHD9rdOfsx+rCW35AjWEEfxjWyIKY+/MHNzY33nEYzKskyF1UmHmyZ8Sjff/sFUVG3NqFneno6a9eu5dChQzw2/TFafxJPD8MftBMJbFL1Z6aPKxfjL9qdnlQuKkcBvNrQF9FYcXBwYOrUqaxfv57i4qoXWqspSUlJFBUV1Wqat8uTTz5JYGAgAKmpqZg+OMFU8QcABwhmWS3M0FuWmupwmkLmI3DAyL3iGq/G5NNlUHdkMhmBgYFkZ2eTkFB/H93aojIdPL28yAztjqm4F2f+NZWWQ9vj7e2Ng0PVQ2NTVH60jD2Pu8hBg57el37h8mlPsnv6EBMXw4YNG9iyZUuF7dTzGMjjWJYc2E9P/sOftXOTdtAYy0VDUBMdCgsLcXNzIyAgAKVSiVar5cyZM/blQwFP4IQTRXQikVQGEXlTANvQ1LU/9O7dm7898zfa/3qRjgV/YkLOv4On8fbPn9hd+1IVOTk5/Hr8V9J69eX+pEycKOQu41X83B7EOORuLly4gNlsrjadplou6vIbWorUJ6aBeOqppxr6EmyYNGkSwcGWDmxFRUV89+G3vGQ+CVh66D9P3RSgmuqQQhrvcB8ADhj5Z5KejT9stB5/7LHHrPfRlCjVoRUt6UYgnTt35rnnnuP1119n+KSR5L40EIXHjYrT7OxsYmJi2LdvHxs3bmTt2rWsXLmSzz//nM8//5wvY79jSqAvGx1ujIqYlLCWnv9cxfbPtpZrPiqlBV68wY31sV6lfoevN7Zy0VDUVIeffvrJOqR34MCBdOhgX9+LDLKZRVvr3//hOPeWWaupIakrf3BxcWHu3LnMmTMHJ2cn4pc+wDcdZrDMZRTv/LHKqmVtIIRg04mtzHQKpLik8WNSwjpGJ93NkiVLuOuuu6pNQyoXlSM1J0kwYcIEhg4dClgK3BdffMFrmR64YZl3YhX9OcWvDXmJNrzDCWbjhz/JDCSO5372Ya/HXoYPH45MJmPOnDl8/PHH/Pln/dUg1AZ96cqPpCNk+fw4fhGqAJX1mBCCuLg4Tp8+TXR0NOnp9o0UmgQ8w0A+4BgqihnIaU7jyr8YyEqOYLppOnsXnPmJlniUzAP0Nf35lSO1eo8SdUNubi6bN2/m0UcfBWDGjBm88cYbdv16385JPmIAf+dXNOj5kVzuw7teRqM1BH369GHKlCnWZnOAyJORrE/6oc5G0ADszD/C3xnI5xwGYNbx9/m40zssWrSInTt3smPHDmsnbQn7kZqTqqAuq8KKiopISqrbFYGrQyaTMW3aNGsAA7B27VpOnTrFWbT0xwsZMiaSRmEd1cTcig5GjFykM/548wAKLnKFuLg4vL29adOmDXK5nN69e5OcnExKSt3PMnu7qFQqHkjpwIr0A3iQiyt55ETLyB7WifT0dHbv3s2aNWv45ZdfuHLlSo1ftL+RwB6CGI4Kd/LQoGcMCbRmAOEl/V0UyPgNf3pyDoAUWjCRdAqou5d6RTSGctEYuBUd4uPj6dKlCx4eHjg5OeHn50dkZKRd5+4niaF0wZ/ruJPH/bTlWwoppm6aAOylNv2hdADAyJEjkZ0tpjhWh65FsbUjbl01d9zMSRJwYRChxLPabwZiWnvkCjmBgYF0796dS5cukZdXfiRgUy0XUnPSHUxDD4V0dHTk2WeftS76B/DNN98QEWGZA+Y057mPKwzFg3Qy6+w6blWHcH5jEKe5dFP7/dq1a60d8ZRKJfPmzWvUk+G5ubkx4YHxrPccz6I/v0SNZR6IE9p+HHykOytWrODll19m9+7d5OTc3tD2E8TSg1xW09+6b9tNTUUmBDtLplZPx5NhuHK9AX6JN3S5aCzcig5CCFatWmUNcnv06MGUKVPsOteAkUdI4Rq+ANxHLNvoiDMNO3VBbfiDUqnkgQce4LXXXqN79+4UH8th0qdv88T3ywhfvJGTJ0/WwpXazz/5hVH0ZU7KOnbs3G7tE+Pv78+SJUt49NFHbWqJQCoXVSEFMQ3E/fff32B5BwUF8corr9C5s6Xt22w2s2rVKg4fPmxjZ6CYaOp2Ernb0aHsYGqtWcW6z9ZZAzGwLGy4YMECPDw8bjmf2qZdu3bMnj2bZWMX8fa+GB5O2WA99p3neGa0yubNL9/i1KlTtTpkPJc8ZnGEULqxgRB+4jeb42/yB9u4j0F4EIP9Iydqk4YsF42JW9UhIyODVatWWf3mL3/5C1OmTLEuK1EVyaTzAFoycbecyx98zT23dB21xe34g1wup2/fvrz22mtMmDABjUaD2HiNJ9a8RktxHVfyeNWgq72LrQG7OI4QZn766SfefPNNkpKSMB/OALPlnpctW8aI7JMa8wAAHxZJREFUESOswYtULipH6hPTjPDy8mLChAn07t3bui8vL48VK1YQcMGF3dzLI5wjj4ZbO+dWUePAVoJwxsDEr3eTkpLC+PHjkclkBAUF8dprr7Fr1y4OHDjQIL38nZ2d6d27NyEhIbR28MP3q2OMu/YSypJh64VoWaQdwEeZW6jDii8AIoiucM7lLPIYWyawkWh6xMTE8PXXXzNz5kzAEsj4+vqyZs2aamv0YrnMSILYBThRyNv13JxYG6jVakJCQhgxYoR14URTppHWYYcYl/KD1e5X7mEilxvqMq1cvXqVI8t+ZI+I4ciWgUQ9/TCOHRx5+OGHGTlyJAcPHqxyuYPmzi0tO/D000/zwgsv4OfnR0xMDAsWLODXXyvv+Dlo0CA++OADunbtSlJSEu+88w4rVqywsXn44YdZtmwZd999NxcvXmTJkiXlptC2J9+lS5cyd+5cPDw8OH78OM8884zNSAyVSsV7773H1KlT0Wq17N+/n/nz51c4nK4up0x2dnaut4X2OnXqRP/+/endu7d1MjSAuLg4Nn61kQV5HfgHvyBHcIgejOIsRdTsF4pcraX1A7Nw7xKK0skVmVIFAmTW/ATCbEYYDZj0RQhTMdmxEeSdCMelz1ib84SxGGNhDtkxR0nc/RVmffVBx1pCmF7yaU7HkwUEEdkxg5mzZtrUwuh0Og4fPszBgwfJyMio0T3WFC8vL7p160b37t3p3LmzVfuQZz+ju+HGcPXf6MKTGkGULs6udOVqLW1Gz8Wz51AUDpaXm6lYR+ap/VzbsdIuvW6VG8+5Pw6unsgUSkqfbVFqPLqUy3h0H1yyHxACIczI5Aq70tfIBTqzba2BMJswGw0gBDKZHLmq/Au91LeMhbkYC/NQOjojkyuRq7UAlvMc1GCtkRBQ0bpQQmAu1iNTKC3XfFMNhjCbMRXlodA43bi/ytISgqLr8RQkxOHaoddNWpUcNhnJ/ONnzMV63Drdh0yhRJhMGIvyUTo64+igoNBgJDs2wloGbmgfUmJve7wsISEhTJ8+HYWDCqc2nRAu3hw5n8qJC8kU5eeWaKSoMJ1u3E13WvEttrWzKpQY6nHEmr3vSaVSSWBgIP369aNnz57WKQjMhWbU35xn9Mlv8SXVav8NocwmkmK1wi5Na6p9VZRNS5mvY9uHL9Kq5PoKcCT87qlkzgxG2cLBen9RUVFEREQQHR2NTtcwNUg1pT6WHahxEDN58mTWrVvH/PnzOXLkCPPmzWPOnDl06dKFq1evlrNv27Yt0dHRfPHFF6xYsYL+/fvz6aefMnXqVH788UcA+vXrx+HDh3n55ZfZvHkzEyZM4N///jcDBgzgxIkTdue7cOFClixZwsyZMzl37hwvvfQSgwYNolOnTtaC8Omnn/LQQw8xc+ZMMjIyeP/99/H09KRXr17lxuvX5QOYNWsWX331Va2mWYqjoyOBgYF06tSJ7t2726znAVBQUMCRL3/m3rh85nEG75t++m+nN5OJqVFHXrlaS+dnPkLT4i5kCvs+VgBmk4kHWhrYk6qq8DxhMqFLSyDuk79X+6LoTge2Uchd3Oj8dpqOfKpoTeGINoSO7V+uSv3atWtERUVx/vx5EhISbusZOzo64uvri7+/P+3bt6d9+/Z4e3ljvKhH5q5E2eLGByxvdTT/PP4xBTjyNvfxJr/y+KwZdvmDXK2l898+RuMTUO5+hBDorscT9/Hf6iSQqe45lzZhVHRd9jRnAIzw0bPn+u21/9ckv7pMuzI9qjpemn6pDmaTCX1aAme/WEinJ98pp33p8crKSKeu9/DiR//Dzd0T5JZ89MVmYlJyuJReSHxmIQaTudp0ADQoiaMlkfjzPbCfOLJqeRmSslT2ntRqtfj7+xMQEEBQUBCBgYHl5k5y/s/vjDi7iRbc+LFSgCP/x718wa+V+nNZLey1s4fK0uq6P4439iynlbgxEKEQLQe8H+BqcDfazgklPtvSCd9sNnP58mViY2O5cuUKCQkJFXYGbgw0yiDm2LFj/P7778yfP9+6LzY2li1btrB48eJy9m+99RZjx46lS5cu1n2fffYZPXr0IDQ0FIDvvvsOV1dX60JmADt37iQrK4tp06bZnW9SUhL//e9/eeeddwBLrUtqaiovvvgiK1euxNXVlbS0NKZPn86GDZZ+CH5+fly9epXRo0ezZ88em2uvywewZMkSXn/9devfMpkMuVxueaEJkMss/5cpZMhkMhQKBSqVCkcHR7QqDWqVBo1ajZOjM66uLri6uNLCuwU+LVri5uoKclC43/hwmrKNuK44iUtyPN1152jHNZvr0aHmFfryHr/UuGrOf+wz+ISMq1EAU8qU1jq+T6y8qtRsMpF2dAtXt31abVoeuPEFQUzkuM1+E3JiuZtzzu25Nm4wmoGeN9LPN2HOMiFzlJOtyyEjM4Pc3Fxy83LQ6fQYDAaMJiMKhQK5Wo5cLkelUuHq6oqH0R1X4YizQoujToEiW4cqMx/X62l45aQQmBdHa5HIF30XkjHeUjN4/PhxkpOTWcRA1vAnKVhmyy3rD5XhP/YZfELH31TDZYswm7l+ZLNdetWU23nO9lKdPzQXbtbBbDJRlHIJR9/2FWpfVRnxH/sMdw2awLDOftzTyo2y8ZRZCK7n6cksMJCep+PayQNc3L2OgoICCgsL0el0mEwmjEYj8wp78p75Rs2MGRm/E8QZPDmHkssYyERPCvmcKRnlVooGNQKBCTNCJpArLWVJoVAgQ4aDwgGFXIHCQYHGUYNGY9memvcUm//3I64urnh6eOHh5o6H2g1noYV8I7L8YpTphWjTc8h94h4cnCw/0k6cOMGDGxP5q+lGTf0m+vJ/JHC1ZOXuqvz5Zk3ttbOHqtJSZxTw2GermZ37E6oyo8KMKIhVdePA83PRBNw415Sow5xlotCkI0efR1ZhNhkFGaTnZFCkK6KgsICioiIKiwoxmS3P0Wg0Wp+pyWTCZDJhNpvrZMmW+ghiatQnxsHBgV69evHWW2/Z7N+zZ481IClLSEhIueBg9+7dzJ49G6VSidFoJCQkhP/85z/lbBYsWGB3vu3atcPPz88mL4PBwKFDhwgNDWXlypX06tULlUplY5OcnEx0dDShoaHlrrMUZ2dnFDc5nV6vv+UVRZ9//nkCI+TMev0tXkWBDIEMgVwIKDNHQLLMl/CPXrXZ1+5f4YxI3VFtPptbPcr1V+5HCEFsbCzHDh3j2OVI5GVClGKUfEcfXiae+FtcH8dSLXprH7YMQ9V9y+UKBe5dQu16SWSRwyMcZzg9+TcG+hEDgAIz93Cee/LPM/aHfIozXAgODqZt27Yof7rGkwffrDbtZJkv4Z+9arOv44s/MiSnYp+5GU3kCf51/KDNvrfKVNPbOzuoe5eQSgMYsDTf2atXTbmd52wv1flDc+FmHeQKBVrfdpVqX1UZce8Sgt4sY3tMCseuZNKvrSddfF1RKizRjFwmw9dVg6+rBvxcMd31EJntnMqlA6D5PIbUqLO0FJalCeQIehNH7zJ2UQ49OPbR5zb7+j/7Cd0MJbMICzAXm8u9iwC+DnoG3YIbnYnbOfqxJ2JfhddTlrk7nuJEuqW5xWQyoSOYSaj4kV68Rya/l/lxU5U/36ypvXb2UFVaei8nPnt6Im+/fYJ/cDcz+MO6GKUSE0GGWJbFHeEeTSdatmwJQKuvjzM+YX21+e5yf5D4tx602Td2/mv4mFMRyLA8TRlf3b+Qsz2Lyn2PGzM1CmK8vb1RKpWkpqba7E9NTcXX17fCc3x9fSu0d3BwwNvbm5SUlEptStO0J9/SfyuyCQgIsNro9Xqys7Ptvn6wfGCUyhtS/fzzz6xZs4bt27fz9NNPA5aASqlUMmTIEADCwsKYOHEirVu3Jjk5mQ0bNvDcc88xYMAAMk5FWDt0VoUcaNWqFXq93noP2TL71gbSFuvZtGkTnp6edOjQgYHDBnLtdCJ3kUQRGiKV97Bb7Y3s0WCErxzF+vWM6TyG4OBgjEYjb7/9Ns8//zwajYaYmBhOnTrFX//6VwA2bdpEQECAtYPwNpSM9dWjVQiuFcmJy1My3McS5B3LcsBNaaazi+V+NyapecDHgItSkKKXczpXwZTWlvbdyGwlajnc42ppc9+SrGawtwE3H0diZ8xg69atPPPMMwDs22d5sZWutv3JJ58wbtw42rRpQ2pqKkO//ZYXhy6k/ckEeqScorP5AkpM3PP4/azcssI6l4Z3foFdeoKMbt26ER0dbV39OVe9s8ozCnDklKYHOe2CGNPeibi4OKZOnQrA999/T2BgID179sRsNvPxxx/zj3/8A61WS2xsLJGRkTz++OMA/Pjjj7Rp04Y+ffrgGujIxlTBGF8DTgpBkk5OdK6SESV6n8hyQKNUM3bJEgDeffddnnjiCby9vbly5Qq7du2yzv65e/du1Gq1deTDhx9+yOTJk/Hz8yMxMZFNmzbx7LPPAhafb+Olpk8ry7Panqqij7uRFmozOUYZP6epmOBnmeU0OldJkQnu87A8x13XVfRwNeKnMZNvlLEzVcWk1hbbP/MVZBnkhHhafnn+muFAqKcBf60ZnVnG1mQ1k1vrkAEXChSk6OQM8LLYHkx3oK2jmbaOJowCNiVpmNhKh1IGVwoVXCmUc7/3jXR9NWY6OJkQwIZEDeP89GjkgqtFcs7mKxnWwqJhRKYDHiozQc4Wn/0hUc2olgaclYJknZyoXCUjS/T+LUuJVgHdSnx2c7KaIS0MuCkFaXo5J7KVjGlpsT2Vo0QO9HCz2IanqOnvWYyXykxWsYxf0lWM87uhS0cnI/e6W2y3Jyvp7WmgpdpMrlHG3usqJray2MbmKckyq6zPfNWqVQwaNIiOHTuiaOfIzkzB5NZ6QMfZawXExSsZHaDC082ZXKUbAa5KXJRgAi7p5fTs2ROZTEZ6ejo5OTncfffdAFxY6Mpv6uGY9qbicDCSdhcO09lYfubnIrUH7u7uuLi40KJFCwDk2DbVVxTAALg4u2CQywkKCkKj0ZB1NrlCuwrPzbbMlbNo0SIADuzazyhjKKEP9mcUcKnMOyJKpWRyybvnTK4SvRl6l+i9M1VF9wCtRdO2WvZlCx4p0TsuT0GOUU4/D4tv7dA58Mgjj9CpUyfy8vIICwtjScmziIyMJD4+nokTJwJwQutAJ89iArQmDGbYnKzhkVY6FDK4VKjgksGBsUtmch0I+SaNYaoxhGYbuTfjD3QmOXe198VgMHDkyBEyMzP5vyL7mjZlMrn1vRUfH49arUaBGUWZ5+Lh7o6jo8x6/TV9RxiNRkaMGAFYWlzGjx9v9/O7VWrUnOTn50dSUhIhISEcO3bMun/x4sVMnz7dOmT3Zs6ePcvq1attalFCQ0M5cuSINXjR6/XMmDGD7777zmozbdo0Vq1ahVartSvfkJAQjh49ip+fn80EZytXrsTf359Ro0YxdepUVq9eXa6n9549e7h48aI1ICmltCps2rRpNiNabqcmZvr06XS96Mnok4cwmSwOJGSl9TEWLJGxjBylC1vndEcIgdlsxmAw0HNbHj0yL1rsBZixtKObhcBsFpa/gQO48DaHbPIOoSs5FHGeeIprcTHHexb9D7Wn3y2da0/zgT4zmTNv/fWW0i9FjYoutONUySzEpQwnmPmo0GJEU6KJTCZDhgyZ7EZ3zUy5Ey91ycVkMlFcXExeXh6PpAbSx1yMDjlZyMlARhomLpHHBVJJJMXuwmVvc5I9WteGXrea9+0iNSdZKKuD2WRErqj8N2dlz9yeZ6aQyXB3dMDTUYWDLpuUze/j5OSEs7MzKpUKhUKBUqlEoVBY/1/aj0eWL1AlmHFOMeCaVYBGbyDL1ZXUh1xs8uj3ZRy+BddRCCNyYUYpTAhkmEvefeaS99+etvcS2ysfnU6HTqdj4tCH6LBoDWYhMAkwCUEhSvJRkIeCfOSkI0jAwAEukob9q0NXp02ppvba1WaeZVmyZAlvvf6mzQzbAM/Sn3sBDSbUmNHIBFqZCRVm6/tLJoNI9yCOj1ahVCqtz3LKmijcii19RUu/Pj/1G8qZ1sl8//33dt1PdTS65qT09HSMRmO5WgsfH59yNSCllNa0lLUvLi62jg6pzKY0TXvyLQ1cfH19bYKYsjZqtRp3d3eb2hgfHx+OHj1a6X3n5+fX2gNYt24dAHn2fLSKgY8OVW1TAyJKmldqm+zYCFqEjENeB00NZpOJ7JjKn4296DGUC2AA9vIHe8vuFGX+BUu0eNrW7CPs/5VYW2THRlTbJ6Y29Kos77p6zhKVY+kTcxmtb/sKta+qjNjzzExCkFFgIC23iLSjW7laSbO63SQC9g20K8/53+H8jT979erFk6a6GfZflTY3a2qvXW3mWRFlAxiAsLLLgggqrpZI/wPW2u76rKJMfrVv4dDGRI0aoIuLizl58iTDhw+32T98+PBKg4CIiIhy9iNGjCAyMhKj0VilTWma9uR7+fJlkpOTbWwcHBwYPHiw1ebkyZMYDAYbG19fX7p161ZlEFMX/Pzzz/WaX12SuPsr9GkJmGu47ofZZOKPTMsopIoQJb3/E/esro3LbNTY6w+Ju79Cl5ZQYSc8IQS6OtSruucshKj0uuwlKuf2p66qiw6Kt5J2ZXpUdbz071IdSkfAnP9qcYXam6spI5U9s7L5VpdOQ1GX78nKtCmrhb12tZlnWe6k70VtU+O1k3Jzc1m+fDmJiYnodDoWL17MkCFDmDVrFjk5Obzxxhs8/vjj1jleLly4wOLFi/Hy8iIhIYGHHnqIV155heeff564OEu4npiYyPLly9Hr9aSnpzN79mzmzJnD3LlzrR0eq8sXQKFQsHjxYs6ePYtCoeD999+ndevWzJs3D4PBgF6vp1WrVvz9738nKioKNzc3Pv/8c/Ly8li0aFG5gl2X6z6UNpHdCQiTkYzf96JQaXFw9kSmkINMhjCbABkIAcKMMJkwG3QYC3IxFuSQ+ftejL9vIyUt3eY8c7GO4rwMMk7u5dJ3b9TpvCeNBXv9oVRrpcYZtbe/ZS4TITDpi8j4bSeXvl1eZ3rZPmcv5Co1yORY5omx1Bbknf8djc9dJfuxzhNTblhMJXiqzOU69wqzCZOhCHNxMcJsKjNHS6mNucRvMtFnJiNMxZj1OktTq7HkvJvnqqksuBACs3UW1/Lz1ZgKc5HJlTfuz3KkwnSKUq+QExuBUut2k1Ylh01GMn/fS0F8LEpHt5JykYc+KwVhKsZDYSQ1I5vM3y1lwFSYd5P2HtZyVHq8smdu+8w8yuVj1hfZlU5DUZfvyYq1Ka+FvXa1mWdZmur3oj7WToIbFVB2b08//bS4fPmy0Ol0IjIyUgwcONB6bPXq1eLAgQM29oMGDRInT54UOp1OXLp0ScybN69cmhMnThRxcXFCr9eL2NhYMWHChBrlW7otXbpUJCUliaKiInHw4EHRtWtXm+NqtVqEhYWJ9PR0UVBQIMLDw0WbNm0qvE9HR0exb98+4ejoWGONqtuWLFlS62k2xU3SQdJB0kHSQdLhztShLr+hN20Nf6ONdZOCmLrfJB0kHSQdJB0kHe5MHaQg5g5+AJ6eng1+f41hk3SQdJB0kHSQdLgzdaiPIEaaWaqBGDNmTENfQqNA0sGCpIMFSQcLkg4WJB0sSDpUjhTENAAqlYqZM2eiUqka+lIaFEkHC5IOFiQdLEg6WJB0sCDpUD0NXuXUWLe6qgpzcXERQgjh4uLS4PfYkJukg6SDpIOkg6TDnauD1JwkISEhISEhIVEJUhAjISEhISEh0SS5/ekxmwFarbbW0zMajWi1Wkw1nOX2TkLSwYKkgwVJBwuSDhYkHSw0ZR1q+9tZETVaALK54eXlVWsLYUlISEhISDRHpkyZYl0rsbaRgphq8PLyslnBWkJCQkJCQsI+tFptnQUwIAUxEhISEhISEk0UqWOvhISEhISERJNECmIkJCQkJCQkmiRSECMhISEhISHRJJGCmFtg6dKlCCFstuTk5HI2iYmJFBYWcuDAAbp06WJzXKVSERYWRlpaGvn5+WzdupXWrVvb2Li7u7N27Vqys7PJzs5m7dq1uLm51fn9VcbAgQMJDw8nMTERIQTjxo0rZ1Nf9+3v7094eDj5+fmkpaXx4Ycf4uDgUPs3XQHV6bB69epy/hEREWFjcyfosGjRIk6cOEFubi6pqals3ryZwMDAcnZ3uk/Yo0Nz8ImnnnqKqKgocnJyyMnJ4ejRo4wcOdLG5k73Baheh+bgC/VNg09N3NS2pUuXijNnzoiWLVtaN29vb+vxhQsXipycHDFhwgTRtWtXsX79epGYmCicnZ2tNp9++qm4evWqGDp0qAgODhb79+8Xp06dEnK53GqzY8cOcfr0adGvXz/Rr18/cfr0aREeHt5g9z1y5EixbNkyMWHCBCGEEOPGjbM5Xl/3LZfLxenTp8X+/ftFcHCwGDp0qLh27ZoICwtrFDqsXr1a7Nixw8Y/PDw8bGzuBB127twpZsyYIbp06SK6d+8utm3bJq5cuWIzxXhz8Al7dGgOPvHggw+KUaNGiY4dO4qOHTuK5cuXC71eL7p06dJsfMEeHZqDL9Tz1uAX0OS2pUuXilOnTlV6PCkpSSxcuND6t0qlEllZWWLu3LkCEK6urkKv14vJkydbbfz8/ITRaBQjRowQgAgKChJCCNGnTx+rTd++fYUQQgQGBja4BhV9vOvrvkeOHCmMRqPw8/Oz2kyZMkUUFRXV+/oilQUxmzdvrvScO1EHQHh7ewshhBg4cGCz9omKdGiuPpGRkSFmzZrVbH2hIh2aqy/U1SY1J90iHTt2JDExkUuXLrF+/XratWsHQLt27fDz82PPnj1WW4PBwKFDhwgNDQWgV69eqFQqG5vk5GSio6OtNiEhIWRnZ3PixAmrzfHjx8nOzrbaNCbq875DQkKIjo62acLbvXs3Go2GXr161el92sv9999PamoqZ8+eZeXKlbRo0cJ67E7VobQqOzMzE2i+PlFWh1Kak0/I5XKmTJmCk5MTERERzdYXyupQSnPyhbpGWnbgFjh+/DiPP/44586do2XLlrz00kscPXqUrl274uvrC0BqaqrNOampqQQEBADg6+uLXq8nOzu7nE3p+b6+vly/fr1c3tevX7faNCbq8759fX3L5ZOdnY1er28U2uzcuZMffviB+Ph42rVrx7Jly/j555/p1asXBoPhjtXhgw8+4PDhw8TExFivD5qfT5TVAZqPT3Tr1o2IiAg0Gg35+flMmDCBuLg4QkJCgObjC5XpAM3HF+oLKYi5BXbt2mX9f3R0NBEREVy8eJEZM2Zw7NgxAIQQNufIZLJy+8pS1qYie3vSaUjq674bszYbNmyw/j8mJobIyEji4+MZM2YMmzdvrvS8pqzDxx9/TPfu3RkwYEC5Y83JJyrTobn4xNmzZwkODsbd3Z2JEyfy9ddfM3jw4Eqv7U71hcp0iIuLaza+UF9IzUm1QGFhIWfOnKFjx46kpKQAlIt0fXx8rFFxSkoKarUad3f3Km1atmxZLq8WLVqUi64bA/V53ykpKeXycXd3R6VSNVpt4uPj6dixo/XvO0mHsLAwxo4dy1/+8hcSExOt+5ubT1SmQ0XcqT5RXFzMxYsXOXnyJIsXLyYqKornnnuu2flCZTpUxJ3qC/VJg3fMaeqbSqUSV69eFS+//LIASwe2F154wXrcwcGhwg5skyZNstr4+vpW2HHrvvvus9r06dOn0XfsrY/7Lu2w5uvra7WZPHlyo+nYW3bz9PQURUVFYvr06XecDh999JG4du2a6NChQ4XHm4tPVKdDc/KJm7d9+/aJ1atXNytfqE6H5uoLdbg1+AU0ue3dd98VgwYNEm3bthV9+vQR4eHhIicnR9x1110CLEMJs7KyxPjx40XXrl3FN998U+FQwoSEBDFkyBARHBws9u3bV+EQuj/++EP07dtX9O3bV0RFRTXoEGsnJyfRo0cP0aNHDyGEEAsWLBA9evQQ/v7+9XrfpUMH9+7dK4KDg8WQIUNEQkJCvQ0drEoHJycn8e6774p+/fqJgIAAMXjwYHHkyBFx9erVO06HTz75RGRlZYlBgwbZDBfVaDRWm+bgE9Xp0Fx84vXXXxcDBgwQAQEBolu3bmL58uXCaDSKYcOGNRtfqE6H5uIL9bw1+AU0ua10fgO9Xi+uXbsmNm7cKDp37mxjs3TpUpGUlCSKiorEwYMHRdeuXW2Oq9VqERYWJtLT00VBQYEIDw8Xbdq0sbHx8PAQ69atEzk5OSInJ0esW7dOuLm5Ndh9Dx48WFTEzb8w6uu+/f39xbZt20RBQYFIT08XYWFhQqVSNbgOGo1G7Nq1S6Smpgq9Xi+uXLkiVq9eXe4e7wQdKmPGjBkNUhYaSovqdGguPvHll1+Ky5cvC51OJ1JTU8XevXutAUxz8YXqdGguvlCfm7SKtYSEhISEhESTROrYKyEhISEhIdEkkYIYCQkJCQkJiSaJFMRISEhISEhINEmkIEZCQkJCQkKiSSIFMRISEhISEhJNEimIkZCQkJCQkGiSSEGMhISEhISERJNECmIkJCQkJCQkmiRSECMhISEhISHRJJGCGAkJCQkJCYkmiRTESEhISEhISDRJpCBGQkJCQkJCokny/7HUyMt6vFpXAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        " ## Comparing density estimates for K = 6, 7 and 8\n",
        " ## Plot the final result distribution for various samples\n",
        "fig, ax = plt.subplots(1, 1)\n",
        "# Bayesian plot (K = 6)\n",
        "ax.plot(xx, mdeKK6, color = 'white',  lw=2, alpha=0.6, label='$K = 6$') # Trace plot of data\n",
        "# EM algorithm K = 7\n",
        "ax.plot(xx, mdeKK7, '--', color = 'blue', label = '$K = 7$')\n",
        "# EM algorithm K = 8\n",
        "ax.plot(xx, mdeKK8, '--', color = 'red', label = '$K = 8$')\n",
        "# Plotting original data\n",
        "ax.scatter(np.array(x), np.zeros((x.shape[0])), label = 'Original data')\n",
        "ax.legend(loc='best', frameon=False)\n",
        "# plot density estimate of the posterior\n",
        "plt.title('Estimated distribution with different components')\n",
        "plt.show()"
      ]
    }
  ]
}