PerformanceMetrics_MLstreaming.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "PerformanceMetrics_MLstreaming.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Abhishek4848/Machine-Learning-with-Spark-Streaming/blob/main/PerformanceMetrics_MLstreaming.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VjHUSvjwcoV9"
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import csv\n",
        "from statistics import mean\n",
        "import numpy as np\n",
        "import pandas as pd"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pxWaEbXXwrue"
      },
      "source": [
        "def classifier_perf_metric(cl, size):\n",
        "  acc=[]\n",
        "  precision=[]\n",
        "  recall=[]\n",
        "  f1_score=[]\n",
        "  batch = []\n",
        "  with open(cl+'.csv', 'r') as file:\n",
        "    data = csv.reader(file, delimiter = ',')\n",
        "\n",
        "    for row in data:\n",
        "      acc.append(float(row[1]))\n",
        "      precision.append(float(row[2]))\n",
        "      recall.append(float(row[3]))\n",
        "      f1_score.append(float(row[4]))\n",
        "  batch = [i+1 for i in range(len(acc))]\n",
        "  plot_batch_vs_acc(acc, precision, recall, f1_score, batch, cl[4:], size)\n",
        "  file.close()\n",
        "\n",
        "def classifiers_metric(metric):\n",
        "  for j in [\"1\",\"5\",\"10\",\"15\"]:\n",
        "    classifiers = [\"mNB\", \"bNB\", \"SGD\"]\n",
        "    metric_flag = 0\n",
        "    metric_means=[]\n",
        "    if metric == \"accuracy\":\n",
        "      metric_flag = 1\n",
        "    elif metric == \"precision\":\n",
        "      metric_flag = 2\n",
        "    elif metric == \"recall\":\n",
        "      metric_flag = 3\n",
        "    else:\n",
        "      metric_flag = 4\n",
        "    for i in classifiers:\n",
        "      metric_list=[]\n",
        "      with open(j+'k/'+i+'.csv', 'r') as file:\n",
        "        data = csv.reader(file, delimiter = ',')\n",
        "        for row in data:\n",
        "            if(row[metric_flag] == 'nan'):\n",
        "              row[metric_flag] = int(0)\n",
        "            metric_list.append(float(row[metric_flag]))\n",
        "        metric_means.append(mean(metric_list))\n",
        "    plt.bar(classifiers, metric_means, color = 'r', label = 'Batch Size='+j+'k, avg performance for '+metric)\n",
        "    plt.xlabel('Classifier')\n",
        "    plt.ylabel(metric)\n",
        "    plt.legend()\n",
        "    plt.show()\n",
        "  file.close()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hsBvtkrDfmBL"
      },
      "source": [
        "def plot_batch_vs_acc(acc, precision, recall, f1_score, batch, cl, size='NA'):\n",
        "  plt.bar(batch, acc, color = 'r', label = 'Classifier-'+cl+', accuracy for each batch, size='+size)\n",
        "  plt.xlabel('Batch')\n",
        "  plt.ylabel('Accuracy')\n",
        "  plt.legend()\n",
        "  plt.show()\n",
        "\n",
        "  plt.bar(batch, precision, color = 'b', label = 'Classifier-'+cl+', precision for each batch, size='+size)\n",
        "  plt.xlabel('Batch')\n",
        "  plt.ylabel('Precision')\n",
        "  plt.legend()\n",
        "  plt.show()\n",
        "\n",
        "  plt.bar(batch, recall, color = 'y', label = 'Classifier-'+cl+', recall for each batch, size='+size)\n",
        "  plt.xlabel('Batch')\n",
        "  plt.ylabel('Recall')\n",
        "  plt.legend()\n",
        "  plt.show()\n",
        "\n",
        "  plt.bar(batch, f1_score, color = 'm', label = 'Classifier-'+cl+', f1 score for each batch, size='+size)\n",
        "  plt.xlabel('Batch')\n",
        "  plt.ylabel('f1 score')\n",
        "  plt.legend()\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PUHnx64pXWMy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "4b899fa6-d81a-4f27-ae87-d7da260ff3c6"
      },
      "source": [
        "classifiers_metric('accuracy')\n",
        "classifiers_metric('precision')\n",
        "classifiers_metric('recall')\n",
        "classifiers_metric('f1 score')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FwbhHUGMdfl3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "630e9f3a-f583-4c06-82aa-b85765b2c04d"
      },
      "source": [
        "for j in ['1k/', '5k/', '10k/', '15k/']:\n",
        "  classifier_perf_metric(j+'mNB', j[0:3])\n",
        "  classifier_perf_metric(j+'bNB', j[0:3])\n",
        "  classifier_perf_metric(j+'SGD', j[0:3])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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s+hVqJ0U9//zzbNmyhVtvvbW6S6mQTp068fbbbyfsXC7R54aZrXD37ETT0haBSBmef/75wKatD+6aofjFW6miIrtUy6NjBCIiIacgSAGptvtORKrP0XxeKAhquHr16rFz506FgYiUy6O/R1CvXr0KPU/HCGq4Jk2akJeXR9g720sV+7eVf157vaaRf9L9O8puW29dMO2kdiv8hbKKUBDUcOnp6RX6pSGpXkvaLCm3TUfvmFTboNqJFKcgEElCeV12V/X1HVL9atN7IlRBUJtWnIhIZdHBYhGRkAvVFoFUDm1ZidQuCgIRSVnJ/NyqvpiUT7uGRERCTlsEEhjtQhJJDQqCUuhDTETCQkEgtZKCvHLodQwHBYFUOx3wE6leOlgsIhJyCgIRkZBTEIiIhJyCQEQk5HSwWESqjM5Cqpm0RSAiEnIKAhGRkFMQiIiEnI4RVBHtG62ZtF5EtEUgIhJ62iIQkRpHW2pVS1sEIiIhpy0CidG3MJHKlwr/V4FuEZhZHzNbb2abzOyuBOO/bWaLzexdM1ttZn2DrEdEREoKLAjMLA2YBlwGtAGGmFmbYs1+Ccxz947AYOBPQdUjIiKJBblF0BXY5O5b3P0gMBfoX6yNAydF738L+P8B1iMiIgkEGQSNgY/iHudFh8UbD1xrZnnAC8CPE03IzEaaWY6Z5eTn5wdRq4hIaFX3WUNDgJnu3gToC8w2sxI1ufuj7p7t7tkZGRlVXqSISG0WZBBsB86Me9wkOizejcA8AHd/C6gHnBJgTSIiUkyQQbAcaGVmzc2sLpGDwQuLtfkPcBGAmZ1DJAi070dEpAoFdh2Bux8ys9HAi0Aa8IS7rzGzCUCOuy8EbgceM7PbiBw4HubuHlRNQUiFc4RFRMoS6AVl7v4CkYPA8cPuibu/FugWZA0iIlK26j5YLCIi1UxBICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkNOP14uIxAljR5LaIhARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5HQdQQ0TxnOYRaR6aYtARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQi7QIDCzPma23sw2mdldpbS52szWmtkaM/tLkPWIiEhJSXVDbWZNgVbuvsjMjgPquPtX5TwnDZgGXAzkAcvNbKG7r41r0wr4GdDN3b8ws/93tAsiIiJHp9wtAjMbATwDPBId1AR4LolpdwU2ufsWdz8IzAX6F2szApjm7l8AuPtnyRYuIiKVI5ldQ7cA3YDdAO6+EUjmm3tj4KO4x3nRYfHOAs4yszfMbJmZ9Uk0ITMbaWY5ZpaTn5+fxKxFRCRZyQTBgeg3egDMrA7glTT/OkAroCcwBHjMzBoUb+Tuj7p7trtnZ2RkVNKsRUQEkguCf5vZz4HjzOxiYD7w9ySetx04M+5xk+iweHnAQncvcPcPgQ1EgkFERKpIMkFwJ5APvAf8F/AC8MsknrccaGVmzc2sLjAYWFiszXNEtgYws1OI7CraklTlIiJSKco8ayh65s8ad28NPFaRCbv7ITMbDbwIpAFPuPsaM5sA5Lj7wui4S8xsLXAYuMPddx7NgoiIyNEpMwjc/XD0OoBvu/t/Kjpxd3+ByBZE/LB74u478NPoTUREqkEy1xE0BNaY2TvA14UD3f2KwKoSEZEqk0wQ3B14FSIiUm3KDQJ3/7eZnQp0iQ56Rxd+iYjUHslcWXw18A4wCLgaeNvMBgZdmIiIVI1kdg39AuhSuBVgZhnAIiLdToiISIpL5jqCY4rtCtqZ5PNERCQFJLNF8C8zexH4a/TxD4B/BleSiIhUpWQOFt9hZlcB34sOetTdnw22LBERqSrlBoGZNQdecPcF0cfHmVkzd98adHEiIhK8ZPb1zweOxD0+HB0mIiK1QDJBUCe+G+ro/brBlSQiIlUpmSDIN7NYdxJm1h/YEVxJIiJSlZI5a2gUMMfMHgKMyK+O/SjQqkREpMokc9bQZuBcMzsx+nhP4FWJiEiVSaaLiZ+Y2UlEeh79o5mtNLNLgi9NRESqQjLHCG5w993AJUAj4Drgd4FWJSIiVSaZILDo377ALHdfEzdMRERSXDJBsMLMXiISBC+aWX2KXlcgIiIpLJmzhm4EsoAt7r7XzBoB1wdbloiIVJVkzho6AqyMe7yTSA+kIiJSC6g7aRGRkFMQiIiE3FEFQeHFZSIikvqOdotgbaVWISIi1abUg8Vm9tPSRgHaIhARqSXK2iL4LdAQqF/sdmI5zxMRkRRS1umjK4Hn3H1F8RFmNjy4kkREpCqVFQTXU/r1AtkB1CIiItWgrCD4pbtfZ2Y/cfcH40e4+6cB1yUiKWSJLSlzfE/vWSV1yNEpa19/ZzM7A7jBzBqa2cnxt6oqUEREglXWFsF04BWgBbCCoj2OenS4iIikuFK3CNx9irufAzzh7i3cvXncTSEgIlJLlHsaqLvfdLQTN7M+ZrbezDaZ2V1ltBtgZm5mOggtIlLFArsewMzSgGnAZUAbYIiZtUnQrj7wE+DtoGoREZHSBXlhWFdgk7tvcfeDwFygf4J2vwbuB/YHWIuIiJQiyCBoDHwU9zgvOizGzDoBZ7r7PwKsQ0REylBtXUWY2THAfwO3J9F2pJnlmFlOfn5+8MWJiIRIkEGwHTgz7nGT6LBC9YF2wBIz2wqcCyxMdMDY3R9192x3z87IyAiwZBGR8AkyCJYDrcysuZnVBQYDCwtHuvsudz/F3Zu5ezNgGXCFu+cEWJOIiBQTWBC4+yFgNPAisA6Y5+5rzGyCmV0R1HxFRKRiyv3x+m/C3V8AXig27J5S2vYMshYREUlMvysgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIRdo76MiUvMssSXltumpzoBDRVsEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyAUaBGbWx8zWm9kmM7srwfifmtlaM1ttZq+YWdMg6xERkZICCwIzSwOmAZcBbYAhZtamWLN3gWx3zwSeAX4fVD0iIpJYkFsEXYFN7r7F3Q8Cc4H+8Q3cfbG7740+XAY0CbAeERFJIMggaAx8FPc4LzqsNDcC/0w0wsxGmlmOmeXk5+dXYokiIlIjDhab2bVANjAp0Xh3f9Tds909OyMjo2qLExGp5eoEOO3twJlxj5tEhxVhZr2BXwAXuPuBAOsRkRBbYkvKHN/Te1ZJHTVRkEGwHGhlZs2JBMBg4IfxDcysI/AI0MfdPwuwFhGRGq28oILgwiqwXUPufggYDbwIrAPmufsaM5tgZldEm00CTgTmm1mumS0Mqh4REUksyC0C3P0F4IViw+6Ju987yPlL7aPNe5HKVyMOFouISPVREIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkAv3NYglOeb/dC/r9XhFJjrYIRERCTkEgIhJyCgIRkZDTMYIQKO94go4liISbtghEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCLtAgMLM+ZrbezDaZ2V0Jxh9rZk9Hx79tZs2CrEdEREoKLAjMLA2YBlwGtAGGmFmbYs1uBL5w9+8Ak4H7g6pHREQSC3KLoCuwyd23uPtBYC7Qv1ib/sCfo/efAS4yMwuwJhERKSbITucaAx/FPc4DvltaG3c/ZGa7gEbAjvhGZjYSGBl9uMfM1pcz71OKTyMpFYmgZNt+83ZFl6Vm1phsOy1L5cy7stuV/H+peTVWpN3RrZua2e7o32clNS1tREr0PurujwKPJtvezHLcPTvAkqqMlqVm0rLUXLVpeapqWYLcNbQdODPucZPosIRtzKwO8C1gZ4A1iYhIMUEGwXKglZk1N7O6wGBgYbE2C4Gh0fsDgVfd3QOsSUREigls11B0n/9o4EUgDXjC3deY2QQgx90XAjOA2Wa2CficSFhUhqR3I6UALUvNpGWpuWrT8lTJspi+gIuIhJuuLBYRCTkFgYhIyNW6ICivW4tUYmZbzew9M8s1s5zqrqcizOwJM/vMzN6PG3aymb1sZhujfxtWZ43JKmVZxpvZ9ui6yTWzvtVZY7LM7EwzW2xma81sjZn9JDo85dZNGcuScuvGzOqZ2Ttmtiq6LL+KDm8e7X5nU7Q7nrqBzL82HSOIdmuxAbiYyAVsy4Eh7r62Wgs7Sma2Fch294pfHFfNzKwHsAeY5e7tosN+D3zu7r+LhnRDd7+zOutMRinLMh7Y4+4PVGdtFWVmpwOnu/tKM6sPrACuBIaRYuumjGW5mhRbN9EeFU5w9z1mlg68DvwE+CmwwN3nmtl0YJW7P1zZ869tWwTJdGshVcDdXyNyJli8+C5F/kzkn7bGK2VZUpK7f+zuK6P3vwLWEbnCP+XWTRnLknI8Yk/0YXr05kAvIt3vQIDrpbYFQaJuLVLyjRHlwEtmtiLazUaqO9XdP47e/wQ4tTqLqQSjzWx1dNdRjd+VUly0t9+OwNuk+LoptiyQguvGzNLMLBf4DHgZ2Ax86e6Hok0C+zyrbUFQ23zP3TsR6cH1luguiloheuFgKu+XfBhoCWQBHwN/qN5yKsbMTgT+Bxjj7rvjx6XaukmwLCm5btz9sLtnEemFoSvQuqrmXduCIJluLVKGu2+P/v0MeJbImyOVfRrdr1u4f/ezaq7nqLn7p9F/3CPAY6TQuonug/4fYI67L4gOTsl1k2hZUnndALj7l8Bi4DygQbT7HQjw86y2BUEy3VqkBDM7IXoADDM7AbgEeL/sZ9V48V2KDAX+Vo21fCOFH5pR3ydF1k30oOQMYJ27/3fcqJRbN6UtSyquGzPLMLMG0fvHETnhZR2RQBgYbRbYeqlVZw0BRE8V+yP/163Fb6q5pKNiZi2IbAVApCuQv6TSspjZX4GeRLrR/RS4F3gOmAd8G9gGXO3uNf4gbCnL0pPIrgcHtgL/FbePvcYys+8BS4H3gCPRwT8nsm89pdZNGcsyhBRbN2aWSeRgcBqRL+jz3H1C9HNgLnAy8C5wrbsfqPT517YgEBGRiqltu4ZERKSCFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgkoCZHY72XLnKzFaa2fnltG9gZjcnMd0lZlYrflhdag8FgUhi+9w9y907AD8D7iunfQOg3CAQqYkUBCLlOwn4AiL92pjZK9GthPfMrLB3298BLaNbEZOibe+MtlllZr+Lm96gaN/zG8yse9UuikhJgf14vUiKOy7aE2Q94HQi3QED7Ae+7+67zewUYJmZLQTuAtpFOw3DzC4j0rXzd919r5mdHDftOu7eNXoV/L1A7ypaJpGEFAQiie2L+1A/D5hlZu0AA34b7Qn2CJFugRN12dwbeNLd9wIU666hsKO3FUCzYMoXSZ6CQKQc7v5W9Nt/BtA3+rezuxdEf0WuXgUnWdhXzGH0Pyg1gI4RiJTDzFoT6QxsJ/At4LNoCFwINI02+wqoH/e0l4Hrzez46DTidw2J1Cj6NiKSWOExAojsDhrq7ofNbA7wdzN7D8gBPgBw951m9oZFfuD+n+5+h5llATlmdhB4gUjPmCI1jnofFREJOe0aEhEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTk/hd3k+DASLPPnQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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re/fupVGjRsyfP5+bbrqJVatW0aFDBxo0aMCwYcMYOXIkY8eO5cYbb+See+6JdhTHE32Np06lb9++0aOFvn37snTpUrKzs0lNTaVfv3786le/AuCHP/whs2bN4qKLLir3NerUqRNDL7mErkOGRF7ryy6jY5s2rP/yy1Kfk5qaysyZM7ntttvYvn07BQUFjBo1ivT0dB544AHOOussmjVuzFkZGdEP5N/+/OcM/9Wv+NOcOaTUq8ekZ56JNicl4pRTTqFr167s2LGDyZMn07Bhw1Jfmw6tW5OSkkLmNdcw9JJLuPWqq1j1xRd0uOYaGtSvz7DbbmPkyJGlruuLL76INs3FWrhwIePHj6dBgwY0adIk2tRV5PHHH+ebb76JdhJnZ2fzxz/+kaeffprBgwdHT+l88MEHOaO0M5pi/GfLFrKHDGHH7t3UM+PR6dNZ/uKL0cePbtSIuXPn0rt3b5o0acLChQu5//77y38xE2Dx3vw1WXZ2th/2hWkq0kdQ2f0JZSxvxauvcmZFe/4rMQgqfHpdosurrHKxZStbsO65ixaxduNGbhs0qGrWW4kmTJjA9u3beeCBBxJ7QjJe78p+j1XWehNY95133sl1111Hhw4dEltmDdiWvLw8hg0bFj1CLW7FihWceeaZh8wzsyXuHrfyOiIQAS4pdqrsYaviUBswYABr1qzhrbfeSs4HWHV9KFah8ePHV3cVKqxFixalhsDhUBCI1GKzZs3670QpZ+DUKCEIltpIQXCkKqMJ6eBB3D1ypoT+UUTkCBxOc7+CoAZouHo1W7dujQxFXd2VqelqavutAlpKU4XvHQ+uR1DRU2sVBDVAi3HjyLv0UjZv3gzlDYq1YkXkbyKDZyVatqhcoiqrjmHflspWna93ZZdLVDJe70Tr+PnnZZc79dSKLa+StqXoCmUVobOGYh3OWUM1tdzhLDNR2pbDLxdbtrJV5+td2eUSlYzXuzb8Tx+Gss4aqhWDzomISPIoCEREQk5BICIScuosFqnpNGquJJmOCEREQk5HBCISDjqyKpWOCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIafTR0Wk5tGpnlVKRwQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMglNQjMrK+ZfWpmq81sdJzHTzGzBWb2oZl9ZGb9klkfEREpKWlBYGYpwBPAxUA7YLCZtStW7G5ghrt3BAYBv09WfUREJL5kHhF0BVa7+1p3PwBMBy4rVsaB7wT3jwW+TGJ9REQkjmQGwcnAhpjpvGBerHHAtWaWB8wDbo23IDMbbma5Zpa7efPmZNRVRCS0qruzeDDwtLu3APoBz5pZiTq5+xR3z3b37GbNmlV5JUWSwqzsm0gVSWYQbARaxky3CObFuhGYAeDu7wENgROTWCcRESkmmUGQA7Q2szQzSyXSGTynWJkvgO8BmNmZRIJAbT8iIlUoaUHg7gXASOB1YAWRs4M+MbP7zax/UOznwDAzWwa8AAx11zXoRESqUlKvWezu84h0AsfOuzfm/nKgezLrICIiZavuzmIREalmST0iEKk25Z11oxZIkSgdEYiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhV7+6KyA1iFnZj7tXTT1EpErpiEBEJOTKDQIzu9TMFBgiInVUIh/wVwOfmdlvzKxtRRZuZn3N7FMzW21mo0spc5WZLTezT8xsWkWWLyIiR67cPgJ3v9bMvgMMBp42MweeAl5w952lPc/MUoAngN5AHpBjZnPcfXlMmdbAGKC7u39rZt89ss0REZGKSqjJx913ADOB6UBzYADwgZndWsbTugKr3X2tux8InntZsTLDgCfc/dtgPV9XsP4iInKEEukj6G9ms4CFQAOgq7tfDGQCPy/jqScDG2Km84J5sc4AzjCzd83sfTPrW5HKi4jIkUvk9NGBwER3fzt2prvvMbMbK2H9rYGeQAvgbTNr7+7bYguZ2XBgOMApp5xyhKsUEZFYiTQNjQMWF02YWSMzawXg7m+W8byNQMuY6RbBvFh5wBx3z3f3dcAqIsFwCHef4u7Z7p7drFmzBKosIiKJSiQIXgIOxkwXBvPKkwO0NrM0M0sFBgFzipWZTeRoADM7kUhT0doEli0iIpUkkSCoH3T2AhDcTy3vSe5eAIwEXgdWADPc/RMzu9/M+gfFXge2mtlyYAFwp7tvrehGiIjI4Uukj2CzmfV39zkAZnYZsCWRhbv7PGBesXn3xtx34PbgJiIi1SCRIBgBPG9mjwNG5Eyg65NaKxERqTKJ/KBsDXC2mTUJpnclvVYiIlJlEhp91My+D6QDDS0YodLd709ivUREpIok8oOyyUTGG7qVSNPQlcCpSa6XiIhUkUTOGjrH3a8HvnX3+4BuRE7zFBGROiCRINgX/N1jZv8HyCcy3pCIiNQBifQR/NXMmgLjgQ8AB/6Q1FqJiEiVKTMIggvSvBmM/fOymc0FGrr79iqpnYiIJF2ZTUPufpDINQWKpvcrBERE6pZE+gjeNLOBZuVd2VxERGqjRILgx0QGmdtvZjvMbKeZ7UhyvUREpIok8sviY6qiIiIiUj3KDQIzOy/e/OIXqhERkdopkdNH74y535DItYiXAL2SUiMREalSiTQNXRo7bWYtgUeTViMREalSiXQWF5cHnFnZFRERkeqRSB/BY0R+TQyR4Mgi8gtjERGpAxLpI8iNuV8AvODu7yapPiIiUsUSCYKZwD53LwQwsxQza+zue5JbNRERqQoJ/bIYaBQz3QiYn5zqiIhIVUskCBrGXp4yuN84eVUSEZGqlEgQ7DazTkUTZtYZ2Ju8KomISFVKpI9gFPCSmX1J5FKV/0Pk0pUiIlIHJPKDshwzawu0CWZ96u75ya2WiIhUlUQuXv8T4Gh3/9jdPwaamNktya+aiIhUhUT6CIYFVygDwN2/BYYlr0oiIlKVEgmClNiL0phZCpCavCqJiEhVSqSz+DXgRTN7Mpj+MfBq8qokIiJVKZEguAsYDowIpj8icuaQiIjUAeU2DQUXsP8XsJ7ItQh6ASuSWy0REakqpR4RmNkZwODgtgV4EcDdL6iaqomISFUoq2loJbAIuMTdVwOY2c+qpFYiIlJlymoa+gGwCVhgZn8ws+8R+WWxiIjUIaUGgbvPdvdBQFtgAZGhJr5rZpPM7KJEFm5mfc3sUzNbbWajyyg30MzczLIrugEiInJkEuks3u3u04JrF7cAPiRyJlGZgt8bPAFcDLQDBptZuzjljgF+SqRDWkREqliFrlns7t+6+xR3/14CxbsCq919rbsfAKYDl8Up9wDwMLCvInUREZHKcTgXr0/UycCGmOm8YF5UMLx1S3f/W1kLMrPhZpZrZrmbN2+u/JqKiIRYMoOgTGZWD3gE+Hl5ZYOjkGx3z27WrFnyKyciEiLJDIKNQMuY6RbBvCLHABnAQjNbD5wNzFGHsYhI1UpmEOQArc0szcxSgUHAnKIH3X27u5/o7q3cvRXwPtDf3XOTWCcRESkmaUHg7gXASOB1IkNSzHD3T8zsfjPrn6z1iohIxSQy6Nxhc/d5wLxi8+4tpWzPZNZFRETiq7bOYhERqRkUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEXFKDwMz6mtmnZrbazEbHefx2M1tuZh+Z2Ztmdmoy6yMiIiUlLQjMLAV4ArgYaAcMNrN2xYp9CGS7ewdgJvCbZNVHRETiS+YRQVdgtbuvdfcDwHTgstgC7r7A3fcEk+8DLZJYHxERiSOZQXAysCFmOi+YV5obgVfjPWBmw80s18xyN2/eXIlVFBGRGtFZbGbXAtnA+HiPu/sUd8929+xmzZpVbeVEROq4+klc9kagZcx0i2DeIczsQuAXwPnuvj+J9RERkTiSeUSQA7Q2szQzSwUGAXNiC5hZR+BJoL+7f53EuoiISCmSFgTuXgCMBF4HVgAz3P0TM7vfzPoHxcYDTYCXzGypmc0pZXEiIpIkyWwawt3nAfOKzbs35v6FyVy/iIiUr0Z0FouISPVREIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQS2oQmFlfM/vUzFab2eg4jx9lZi8Gj//LzFolsz4iIlJS0oLAzFKAJ4CLgXbAYDNrV6zYjcC37v5/gYnAw8mqj4iIxJfMI4KuwGp3X+vuB4DpwGXFylwGPBPcnwl8z8wsiXUSEZFi6idx2ScDG2Km84CzSivj7gVmth04AdgSW8jMhgPDg8ldZvZpOes+sfgyElKRDEq07JGXO3RbamYdEy2nbamcdVd2uZL/LzWvjhUpd3j7pmaWO/z3WUmnlvZAMoOg0rj7FGBKouXNLNfds5NYpSqjbamZtC01V13anqralmQ2DW0EWsZMtwjmxS1jZvWBY4GtSayTiIgUk8wgyAFam1mamaUCg4A5xcrMAYYE968A3nJ3T2KdRESkmKQ1DQVt/iOB14EU4M/u/omZ3Q/kuvsc4E/As2a2GviGSFhUhoSbkWoBbUvNpG2puerS9lTJtpi+gIuIhJt+WSwiEnIKAhGRkKtzQVDesBa1iZmtN7N/m9lSM8ut7vpUhJn92cy+NrOPY+Ydb2Z/N7PPgr/HVWcdE1XKtowzs43BvllqZv2qs46JMrOWZrbAzJab2Sdm9tNgfq3bN2VsS63bN2bW0MwWm9myYFvuC+anBcPvrA6G40lNyvrrUh9BMKzFKqA3kR+w5QCD3X15tVbsMJnZeiDb3Sv+47hqZmbnAbuAqe6eEcz7DfCNuz8UhPRx7n5XddYzEaVsyzhgl7tPqM66VZSZNQeau/sHZnYMsAS4HBhKLds3ZWzLVdSyfROMqHC0u+8yswbAO8BPgduBV9x9uplNBpa5+6TKXn9dOyJIZFgLqQLu/jaRM8FixQ4p8gyRf9oar5RtqZXcfZO7fxDc3wmsIPIL/1q3b8rYllrHI3YFkw2CmwO9iAy/A0ncL3UtCOINa1Er3xgBB94wsyXBMBu13Unuvim4/x/gpOqsTCUYaWYfBU1HNb4ppbhgtN+OwL+o5fum2LZALdw3ZpZiZkuBr4G/A2uAbe5eEBRJ2udZXQuCuuZcd+9EZATXnwRNFHVC8MPB2twuOQk4HcgCNgH/v3qrUzFm1gR4GRjl7jtiH6tt+ybOttTKfePuhe6eRWQUhq5A26pad10LgkSGtag13H1j8PdrYBaRN0dt9lXQrlvUvvt1NdfnsLn7V8E/7kHgD9SifRO0Qb8MPO/urwSza+W+ibcttXnfALj7NmAB0A1oGgy/A0n8PKtrQZDIsBa1gpkdHXSAYWZHAxcBH5f9rBovdkiRIcBfqrEuR6ToQzMwgFqyb4JOyT8BK9z9kZiHat2+KW1bauO+MbNmZtY0uN+IyAkvK4gEwhVBsaTtlzp11hBAcKrYo/x3WItfVnOVDouZnUbkKAAiQ4FMq03bYmYvAD2JDKP7FTAWmA3MAE4BPgeucvca3wlbyrb0JNL04MB64Mcxbew1lpmdCywC/g0cDGb/PyJt67Vq35SxLYOpZfvGzDoQ6QxOIfIFfYa730e0ff4AAAHRSURBVB98DkwHjgc+BK519/2Vvv66FgQiIlIxda1pSEREKkhBICIScgoCEZGQUxCIiIScgkBEJOQUBCJxmFlhMHLlMjP7wMzOKad8UzO7JYHlLjSzOnFhdak7FAQi8e119yx3zwTGAL8up3xToNwgEKmJFAQi5fsO8C1ExrUxszeDo4R/m1nR6LYPAacHRxHjg7J3BWWWmdlDMcu7Mhh7fpWZ9ajaTREpKWkXrxep5RoFI0E2BJoTGQ4YYB8wwN13mNmJwPtmNgcYDWQEg4ZhZhcTGdr5LHffY2bHxyy7vrt3DX4FPxa4sIq2SSQuBYFIfHtjPtS7AVPNLAMw4FfBSLAHiQwLHG/I5guBp9x9D0Cx4RqKBnpbArRKTvVFEqcgECmHu78XfPtvBvQL/nZ29/zgKnINK7jIorFiCtH/oNQA6iMQKYeZtSUyGNhW4Fjg6yAELgBODYrtBI6JedrfgRvMrHGwjNimIZEaRd9GROIr6iOASHPQEHcvNLPngb+a2b+BXGAlgLtvNbN3LXKB+1fd/U4zywJyzewAMI/IyJgiNY5GHxURCTk1DYmIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScv8LAr2YpAFYRncAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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aLF26NOo6OJwPPvjgkCOO8vPzGTp0KNnZ2bg7N998c6QLB0JffObOncv69ev585//DMCTTz7J+PHjGTNmDGlpaRQUFNC8eXNeffXVUpd5//79nHfeeeTm5pKfn0+fPn0YOXJkkTYDBw5k165d9O/fn+HDh9OnT59S5xsrK2nzrLLKyMjwo74xTSU+c3ft/Pm0Pni44xEcPibl48ILL+TFF1/k2GOPLf+Zx/FGSntzcmg3aBDLn36ak044oWwzC+Df3Xfffcc111zDnDlzEl3KERkxYgQjRozgRz/6UdTn165dS+vWrYuMM7Nl7h51JWuLQARi+tZW2Sz817+45u67GTt4cNlDIKBOPPHEKhcCENr6KE8KApEqqk/Xrnz6yiuJLkOqAe0sriwKCqhanXQiUhkdTXe/gqCSSNmwgR15eQoDETlq7qH7EaSkpBzRdOoaqiSaTJzI1okT2f6DH8DatYkuR8pT+LDASk9/d9XCwTuUHYm4BoGZ9QX+CCQBT7r7vcWePw34C1An3OZ2d38tnjVVVsk7d9L8F78IDVSxI7mkFFGuiVQp6e8usOLWNWRmScAjwPlAG2CwmRX/j/gN8Ly7dwAGAX+KVz0iIhJdPPcRdAE2uPtGdz8AzAYuKtbGgYMXoDkJOPxFxUVEpNzFMwgaA1sKDW8NjytsIjDUzLYCrwE3RZuRmY0ysywzy9q+fXs8ahURCaxEHzU0GJju7k2AC4CZZnZITe7+uLtnuHtG/fr1K7xIEZHqLJ5BsA0ofGurJuFxhV0DPA/g7kuBFODQ20qJiEjcxDMIMoGWZtbczI4ltDN4XrE2m4HeAGbWmlAQqO9HRKQCxS0I3D0PuBF4A1hL6Oig1WY2ycwOXjj9FmCkma0EngWGeVW7Cp6ISBUX1/MIwucEvFZs3J2FHq8BDr32r4iIVJhE7ywWEZEE0yUmqrpKfI+FItTjJ1JpaYtARCTgFAQiIgGnIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4BQEIiIBpyAQEQk4BYGISMApCEREAk5BICIScAoCEZGAUxCIiAScgkBEJOAUBCIiAacgEBEJOAWBiEjAKQhERAJOQSAiEnAKAhGRgFMQiIgEnIJARCTgFAQiIgGnIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYCrkegCREQSzizRFcTGPS6z1RaBiEjAKQhERAJOQSAiEnAKAhGRgFMQiIgEXFyDwMz6mtk6M9tgZreX0OYyM1tjZqvN7Jl41iMiIoeK2+GjZpYEPAL8GNgKZJrZPHdfU6hNS+AO4Gx332lmp8arHhERiS6eWwRdgA3uvtHdDwCzgYuKtRkJPOLuOwHc/as41iMiIlHEMwgaA1sKDW8Njyvsh8APzew9M/unmfWNNiMzG2VmWWaWtX379jiVKyISTIneWVwDaAn0AAYDT5hZneKN3P1xd89w94z69etXcIkiItVbPINgG9C00HCT8LjCtgLz3D3X3T8B1hMKBhERqSDxDIJMoKWZNTezY4FBwLxibV4mtDWAmdUj1FW0MY41iYhIMXELAnfPA24E3gDWAs+7+2ozm2Rm/cPN3gB2mNkaYBEwzt13xKsmERE5lHmcrmYXLxkZGZ6VlXV0E1fHKwxWx2WqbrSOKr8ArCMzW+buGdGeS/TOYhERSTAFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4BQEIiIBV2oQmNlPzUyBISJSTcXyAf9z4GMz+4OZnRHvgkREpGKVGgTuPhToAPwHmG5mS8P3B6gd9+pERCTuYurycffvgLmE7jLWELgEWG5mN8WxNhERqQCx7CPob2YvAYuBZKCLu58PtAduiW95IiISb7HcvH4AMMXd3yk80t33mtk18SlLREQqSixBMBH4/OCAmdUEGrj7Jnd/M16FiYhIxYhlH8EcoKDQcH54nIiIVAOxBEENdz9wcCD8+Nj4lSQiIhUpliDYXujWkpjZRcDX8StJREQqUiz7CK4DZpnZw4ABW4Ar41qViIhUmFKDwN3/A/zIzE4ID++Oe1UiIlJhYtkiwMz6AW2BFAvf5NndJ8WxLhERqSClBoGZTQWOB3oCTwKXAu/HuS4RqazCXwYrPfdEV1BlxLKz+Cx3vxLY6e6/Bc4EfhjfskREpKLEEgQ54d97zawRkEvoekMiIlINxLKP4BUzqwNMBpYDDjwR16pERKTCHDYIwjekedPdvwVeMLNXgRR3z66Q6kREJO4O2zXk7gXAI4WG9ysERESql1j2EbxpZgPMqsqhAiIiciRiCYJrCV1kbr+ZfWdmu8zsuzjXJSIiFSSWM4t1S0oRkWoslhPKukUbX/xGNSIiUjXFcvjouEKPU4AuwDKgV1wqEhGRChVL19BPCw+bWVPggbhVJCIiFSqWncXFbQVal3chIiKSGLHsI3iI0NnEEAqOdEJnGIuISDUQyz6CrEKP84Bn3f29ONUjIiIVLJYgmAvkuHs+gJklmdnx7r43vqWJiEhFiOnMYqBmoeGawML4lCMiIhUtliBIKXx7yvDj42OZuZn1NbN1ZrbBzG4/TLsBZuZmlhHLfEVEpPzEEgR7zKzjwQEz6wTsK20iM0sidMG684E2wGAzaxOlXW3gF8C/Yi1aqjGzqvEjUo3Eso9gDDDHzD4DDPge8PMYpusCbHD3jQBmNhu4CFhTrN1dwH0UPXFNREQqSCwnlGWa2RlAq/Code6eG8O8GwNbCg1vBboWbhDe0mjq7n8zsxKDwMxGAaMATjvttBheWkREYlVq15CZ3QDUcvcP3f1D4AQzG13WFw7f9Ob/gFtKa+vuj7t7hrtn1K9fv6wvLSIihcSyj2Bk+A5lALj7TmBkDNNtA5oWGm4SHndQbSAVWGxmm4AfAfO0w1hEpGLFEgRJhW9KE94JfGwM02UCLc2suZkdCwwC5h180t2z3b2euzdz92bAP4H+7p4VfXYiIhIPsQTB68BzZtbbzHoDzwLzS5vI3fOAG4E3gLXA8+6+2swmmVn/shQtIiLlJ5ajhv6H0I7a68LDHxA6cqhU7v4a8FqxcXeW0LZHLPMUEZHyVeoWQfgG9v8CNhE6JLQXoW/4IiJSDZS4RWBmPwQGh3++Bp4DcPeeFVOaiIhUhMN1DX0ELAEudPcNAGY2tkKqEhGRCnO4rqGfAZ8Di8zsifCOYp1bLyJSzZQYBO7+srsPAs4AFhG61MSpZvaomf2kogoUEZH4imVn8R53fyZ87+ImwL8JHUkkIiLVwBHds9jdd4Yv99A7XgWJiEjFOpqb14uISDWiIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4BQEIiIBpyAQEQk4BYGISMApCEREAk5BICIScAoCEZGAUxCIiAScgkBEJOAUBCIiAacgEBEJOAWBiEjAKQhERAJOQSAiEnAKAhGRgFMQiIgEnIJARCTgFAQiIgGnIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4OIaBGbW18zWmdkGM7s9yvO/NLM1ZvaBmb1pZt+PZz0iInKouAWBmSUBjwDnA22AwWbWplizfwMZ7p4GzAX+EK96REQkunhuEXQBNrj7Rnc/AMwGLircwN0Xufve8OA/gSZxrEdERKKIZxA0BrYUGt4aHleSa4D50Z4ws1FmlmVmWdu3by/HEkVEpFLsLDazoUAGMDna8+7+uLtnuHtG/fr1K7Y4EZFqrkYc570NaFpouEl4XBFm1gf4NdDd3ffHsR4REYkinlsEmUBLM2tuZscCg4B5hRuYWQfgMaC/u38Vx1pERKQEcQsCd88DbgTeANYCz7v7ajObZGb9w80mAycAc8xshZnNK2F2IiISJ/HsGsLdXwNeKzbuzkKP+8Tz9UVEpHSVYmexiIgkjoJARCTgFAQiIgGnIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4BQEIiIBpyAQEQk4BYGISMApCEREAk5BICIScAoCEZGAUxCIiAScgkBEJOAUBCIiAacgEBEJOAWBiEjAKQhERAJOQSAiEnAKAhGRgFMQiIgEnIJARCTgFAQiIgGnIBARCTgFgYhIwCkIREQCTkEgIhJwCgIRkYBTEIiIBJyCQEQk4BQEIiIBpyAQEQk4BYGISMApCEREAk5BICIScHENAjPra2brzGyDmd0e5fnjzOy58PP/MrNm8axHREQOFbcgMLMk4BHgfKANMNjM2hRrdg2w091/AEwB7otXPSIiEl08twi6ABvcfaO7HwBmAxcVa3MR8Jfw47lAbzOzONYkIiLF1IjjvBsDWwoNbwW6ltTG3fPMLBuoC3xduJGZjQJGhQd3m9m6uFR8dOpRrN4yS3wWVrdlqm7LA9Vvmarb8kDlW6bvl/REPIOg3Lj748Djia4jGjPLcveMRNdRnqrbMlW35YHqt0zVbXmgai1TPLuGtgFNCw03CY+L2sbMagAnATviWJOIiBQTzyDIBFqaWXMzOxYYBMwr1mYecFX48aXAW+7ucaxJRESKiVvXULjP/0bgDSAJ+LO7rzazSUCWu88DngJmmtkG4BtCYVHVVMouqzKqbstU3ZYHqt8yVbflgSq0TKYv4CIiwaYzi0VEAk5BICIScAqCo2Rmfzazr8zsw0TXUh7MrKmZLTKzNWa22sx+keiaysrMUszsfTNbGV6m3ya6pvJgZklm9m8zezXRtZQHM9tkZqvMbIWZZSW6nrIyszpmNtfMPjKztWZ2ZqJrKo32ERwlM+sG7AZmuHtqouspKzNrCDR09+VmVhtYBlzs7msSXNpRC5+lXsvdd5tZMvAu8At3/2eCSysTM/slkAGc6O4XJrqesjKzTUCGu5fvyVcJYmZ/AZa4+5PhIyaPd/dvE13X4WiL4Ci5+zuEjnSqFtz9c3dfHn68C1hL6MzvKstDdocHk8M/Vfqbj5k1AfoBTya6FjmUmZ0EdCN0RCTufqCyhwAoCCSK8FVgOwD/SmwlZRfuRlkBfAX83d2r+jI9ANwGFCS6kHLkwAIzWxa+nExV1hzYDkwLd989aWa1El1UaRQEUoSZnQC8AIxx9+8SXU9ZuXu+u6cTOrO9i5lV2W48M7sQ+MrdlyW6lnJ2jrt3JHSl4hvC3a5VVQ2gI/Cou3cA9gCHXIK/slEQSES4H/0FYJa7v5joespTePN8EdA30bWUwdlA/3Cf+mygl5k9ndiSys7dt4V/fwW8ROjKxVXVVmBroS3PuYSCoVJTEAgQ2bH6FLDW3f8v0fWUBzOrb2Z1wo9rAj8GPkpsVUfP3e9w9ybu3ozQWfhvufvQBJdVJmZWK3xwAuEulJ8AVfZIPHf/AthiZq3Co3oDlf6Aiypx9dHKyMyeBXoA9cxsKzDB3Z9KbFVlcjZwBbAq3KcO8Ct3fy2BNZVVQ+Av4ZskHQM87+7V4pDLaqQB8FL4NiQ1gGfc/fXEllRmNwGzwkcMbQSuTnA9pdLhoyIiAaeuIRGRgFMQiIgEnIJARCTgFAQiIgGnIBARCTgFgUgUZpYfvhrmSjNbbmZnldK+jpmNjmG+i82sStzQXIJDQSAS3T53T3f39sAdwD2ltK8DlBoEIpWRgkCkdCcCOyF0LSYzezO8lbDKzC4Kt7kXaBHeipgcbvs/4TYrzezeQvMbGL5PwnozO7diF0XkUDqzWCS6muEzrFMInaHcKzw+B7jE3b8zs3rAP81sHqELi6WGL3CHmZ0PXAR0dfe9ZnZKoXnXcPcuZnYBMAHoU0HLJBKVgkAkun2FPtTPBGaEr1xqwO/DV8gsIHTPhgZRpu8DTHP3vQDuXvjeFQcv6LcMaBaf8kVipyAQKYW7Lw1/+68PXBD+3cndc8NXAk05wlnuD//OR/+DUgloH4FIKczsDCAJ2AGcROieALlm1hP4frjZLqB2ocn+DlxtZseH51G4a0ikUtG3EZHoDu4jgFB30FXunm9ms4BXzGwVkEX4stbuvsPM3jOzD4H57j7OzNKBLDM7ALwG/CoByyFSKl19VEQk4NQ1JCIScAoCEZGAUxCIiAScgkBEJOAUBCIiAacgEBEJOAWBiEjA/T+G6c1PzFWEQAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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+7pw2jfr16jH3vvs4vXVrTm7enI5t2zLw4osT+ps8MmkS106ZwtSZM0lt1oynfvnLSl8zduxYNm3aRNeuXSOfRWoqCxYsYNiwYVx55ZWcddZZZGVlceaZZwKRvctf/OIXXHTRRaSkpNClSxdmzJiRUH0Q+dJ89NFHGTNmDGlpafzoRz/i+OOPZ9y4caSnp3PKKaeUdv3A1we6GzVqxLJly+J+BofzzjvvHHLGUXFxMcOHD6egoAB358Ybb6RZs2alyzdv3sy8efNYv3596V7u448/zh133MFNN91ERkYGJSUltGvXjpdjfkBUZP/+/fTp04fCwkKKi4vp3bs348aNK9Pm6quvZufOnfTv358xY8bQu3fvStebKKto96ymysrK8ro4MM3atWvp2LFjsstIviR9tlfcfDMvPPAADRK9UdeRnD4a4Dbt2bePs4YMYcWf/sSJTZoc28oCOCW2pvvqq6+47rrrmDt3brJLOSJjx45l7NixfPe73427PN73iZktd/e4H7L2CESAl6OnttYmr7/1Ftfdey83Dx167CEQUieccEKtCwGI7H1UpUCDwMz6Ar8FUoDH3f3X5ZafBjwNNIu2mezuC4OsSaSu6H322Wx+6aVklyF1QGAHi80sBXgUuAxIA4aaWVq5Zv8NzHH3LsAQ4PdB1VMb1LZuOhGpeY7meyTIs4Z6ABvcfaO7HwBmAwPKtXHg4Im+JwKHv2FIHdawYUO2b9+uMBCRo+bR8QgOntadqCC7hloBW2Om84Czy7W5C1hkZjcAjYGqOwxey7Ru3Zq8vDzy8/OTXUpyRU+hq/HWrk28bV3cJqmxDo5QdiSSfbB4KDDD3f+fmZ0DzDSzdHcvc0tIMxsPjAc47bTTklBm8OrXr39EIwrVWWnlew9rqCPZc6uL2yR1SpBdQ9uA2Ou3W0fnxboOmAPg7suAhkCL8ity9+nunuXuWampqQGVKyISTkEGQQ7Q3szamVkDIgeDs8u12QL0AjCzjkSCILi+kaq+x39QDxGRahRYELh7ETAReA1YS+TsoNVmNsXMDt7Q+1ZgnJmtAp4DRruOloqIVKtAjxFErwlYWG7enTHP1wDnBVmDiIgcnm46JyIScsk+a0hEJPlqy7G5gHrOtUcgIhJyCgIRkZBTEIiIhJyOEYjIkQl5f3pdpD0CEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEXKBBYGZ9zWydmW0ws8lxlj9kZiujj/Vm9mWQ9YiIyKECu9eQmaUAjwKXAnlAjpllR0clA8Ddb45pfwPQJah6REQkviD3CHoAG9x9o7sfAGYDAw7TfiiRcYtFRKQaBRkErYCtMdN50XmHMLNvA+2Av1WwfLyZ5ZpZbn5+fpUXKiISZjXlYPEQYJ67F8db6O7T3T3L3bNSU1OruTQRkbotyCDYBrSJmW4dnRfPENQtJCKSFEEGQQ7Q3szamVkDIl/22eUbmdmZwDeBZQHWIiIiFQgsCNy9CJgIvAasBea4+2ozm2Jm/WOaDgFmu2s4IRGRZAh0qEp3XwgsLDfvznLTdwVZg4iIHF5NOVgsIiJJoiAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEXKBBYGZ9zWydmW0ws8kVtLnGzNaY2WozmxVkPSIicqjABqYxsxTgUeBSIA/IMbNsd18T06Y9cDtwnrt/YWYnBVWPiIjEF+QeQQ9gg7tvdPcDwGxgQLk244BH3f0LAHf/LMB6REQkjiCDoBWwNWY6Lzov1neA75jZP83sX2bWN96KzGy8meWaWW5+fn5A5YqIhFOyDxbXA9oDFwNDgT+aWbPyjdx9urtnuXtWampqNZcoIlK3BRkE24A2MdOto/Ni5QHZ7l7o7h8C64kEg4iIVJMggyAHaG9m7cysATAEyC7XZgGRvQHMrAWRrqKNAdYkIiLlBBYE7l4ETAReA9YCc9x9tZlNMbP+0WavAdvNbA2wGJjk7tuDqklERA5l7p7sGo5IVlaW5+bmHt2Lzaq2mKDUss+kStXFz6iubVNd2x6om9tUjpktd/eseMuSfbBYRESSTEEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQqzQIzOxKM1NgiIjUUYl8wX8f+MDMHjCzM4MuSEREqlelQeDuw4EuwH+AGWa2LDp0ZNPAqxMRkcAl1OXj7l8B84gMQN8SuApYYWY3BFibiIhUg0SOEfQ3sxeBJUB9oIe7XwZ0Bm6t5LV9zWydmW0ws8lxlo82s3wzWxl9jD26zRARkaNVL4E2g4CH3H1p7Ex332Nm11X0IjNLAR4FLiUyNnGOmWW7+5pyTZ9394lHWLeIiFSRRLqG7gLePjhhZo3MrC2Au79xmNf1ADa4+0Z3P0CkW2nAUVcqIiKBSCQI5gIlMdPF0XmVaQVsjZnOi84rb5CZvWNm88ysTbwVRQ9O55pZbn5+fgJvLSIiiUokCOpFf9EDEH3eoIre/yWgrbtnAH8Fno7XyN2nu3uWu2elpqZW0VuLiAgkFgT5Ztb/4ISZDQA+T+B124DYX/ito/NKuft2d98fnXwc6JbAekVEpAolcrB4AvCsmf0OMCLdPSMTeF0O0N7M2hEJgCHAD2IbmFlLd/84OtkfWJto4SIiUjUqDQJ3/w/wXTNrEp3elciK3b3IzCYCrwEpwJPuvtrMpgC57p4N3Bjd2ygCdgCjj24zRETkaJm7V97IrB/QCWh4cJ67TwmwrgplZWV5bm7u0b3YrGqLCUoCn0mdVRc/o7q2TXVte6BublM5Zrbc3bPiLUvkgrLHiNxv6AYiXUNXA98+6mpERKRGSeRg8bnuPhL4wt3vBs4BvhNsWSIiUl0SCYJ90f/uMbNTgUIi9xsSEZE6IJGzhl4ys2bAVGAF4MAfA61KRESqzWGDIDogzRvu/iUw38xeBhq6e0G1VCciIoE7bNeQu5cQuXHcwen9CgERkbolkWMEb5jZILPacn6ViIgciUSC4IdEbjK338y+MrOdZvZVwHWJiEg1SeTKYg1JKSJSh1UaBGZ2Ybz55QeqERGR2imR00cnxTxvSGTAmeVAz0AqEhGRapVI19CVsdPRwWN+E1hFIiJSrRI5WFxeHtCxqgsREZHkSOQYwSNEriaGSHBkErnCWERE6oBEjhHE3vO5CHjO3f8ZUD0iIlLNEgmCecA+dy8GMLMUMzve3fcEW5qIiFSHhK4sBhrFTDcCXk9k5WbW18zWmdkGM5t8mHaDzMzNLO6gCSIiEpxEgqBh7PCU0efHV/YiM0shcp+iy4A0YKiZpcVp1xT4CfBWokWLiEjVSSQIdptZ14MTZtYN2JvA63oAG9x9o7sfAGYDA+K0uwe4n6/HPRARkWqUyDGCm4C5ZvYRkaEqTyEydGVlWgFbY6bzgLNjG0QDpo27v2JmsReuUa7deGA8wGmnnZbAW4uISKISuaAsx8zOBDpEZ61z98JjfePoWAf/A4xOoIbpwHSIDF5/rO8tIiJfS2Tw+h8Djd39PXd/D2hiZtcnsO5tQJuY6dbReQc1BdKBJWa2CfgukK0DxiIi1SuRYwTjoiOUAeDuXwDjEnhdDtDezNqZWQNgCJAds54Cd2/h7m3dvS3wL6C/u+fGX52IiAQhkSBIiR2UJno2UIPKXuTuRcBE4DVgLTDH3Veb2RQz63+0BYuISNVK5GDxX4DnzWxadPqHwKuJrNzdFwILy827s4K2FyeyThERqVqJBMHPiJyxMyE6/Q6RM4dERKQOqLRrKDqA/VvAJiLXBvQk0tUjIiJ1QIV7BGb2HWBo9PE58DyAu19SPaWJiEh1OFzX0PvAm8AV7r4BwMxurpaqRESk2hyua+i/gI+BxWb2RzPrReTKYhERqUMqDAJ3X+DuQ4AzgcVEbjVxkpn9wcy+V10FiohIsBI5WLzb3WdFxy5uDfybyJlEIiJSBxzRmMXu/oW7T3f3XkEVJCIi1etoBq8XEZE6REEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhl8jdR6Ums1pysbdrhFGRmirQPQIz62tm68xsg5lNjrN8gpm9a2YrzewfZpYWZD0iInKowIIgOpLZo8BlQBowNM4X/Sx3P8vdM4EHiAxmLyIi1SjIPYIewAZ33+juB4DZwIDYBu7+VcxkY0D9ByIi1SzIYwStgK0x03nA2eUbmdmPgVuIjIPcM96KzGw8kVHSOO2006q8UBGRMEv6WUPu/qi7n0HkRnb/XUGb6e6e5e5Zqamp1VugiEgdF2QQbAPaxEy3js6ryGxgYID1iIhIHEEGQQ7Q3szamVkDYAiQHdvAzNrHTPYDPgiwHhERiSOwYwTuXmRmE4HXgBTgSXdfbWZTgFx3zwYmmllvoBD4AhgVVD0iIhJfoBeUuftCYGG5eXfGPP9JkO8vIiKVS/rBYhERSS4FgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQCDQIz62tm68xsg5lNjrP8FjNbY2bvmNkbZvbtIOsREZFDBRYEZpYCPApcBqQBQ80srVyzfwNZ7p4BzAMeCKoeERGJL8g9gh7ABnff6O4HiAxOPyC2gbsvdvc90cl/ERngXkREqlGQQdAK2BoznRedV5HrgFfjLTCz8WaWa2a5+fn5VViiiIjUiIPFZjYcyAKmxlvu7tPdPcvds1JTU6u3OBGROi7Iweu3AW1ipltH55VhZr2BXwAXufv+AOsREZE4gtwjyAHam1k7M2sADAGyYxuYWRdgGtDf3T8LsBYREalAYEHg7kXAROA1YC0wx91Xm9kUM+sfbTYVaALMNbOVZpZdwepERCQgQXYN4e4LgYXl5t0Z87x3kO8vIiKVqxEHi0VEJHkUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZALNAjMrK+ZrTOzDWY2Oc7yC81shZkVmdngIGsREZH4AgsCM0sBHgUuA9KAoWaWVq7ZFmA0MCuoOkRE5PCCHKGsB7DB3TcCmNlsYACw5mADd98UXVYSYB0iInIYQXYNtQK2xkznReeJiEgNUisOFpvZeDPLNbPc/Pz8ZJcjIlKnBBkE24A2MdOto/OOmLtPd/csd89KTU2tkuJERCQiyCDIAdqbWTszawAMAbIDfD8RETkKgQWBuxcBE4HXgLXAHHdfbWZTzKw/gJl1N7M84GpgmpmtDqoeERGJL8izhnD3hcDCcvPujHmeQ6TLSEREkqRWHCwWEZHgKAhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQm5QIPAzPqa2Toz22Bmk+Ms/4aZPR9d/paZtQ2yHhEROVRgQWBmKcCjwGVAGjDUzNLKNbsO+MLd/w/wEHB/UPWIiEh8Qe4R9AA2uPtGdz8AzAYGlGszAHg6+nwe0MvMLMCaRESknCDHLG4FbI2ZzgPOrqiNuxeZWQHQHPg8tpGZjQfGRyd3mdm6QCo+Oi0oV+8xS34W1rVtqmvbA3Vvm+ra9kDN26ZvV7Qg0MHrq4q7TwemJ7uOeMws192zkl1HVapr21TXtgfq3jbVte2B2rVNQXYNbQPaxEy3js6L28bM6gEnAtsDrElERMoJMghygPZm1s7MGgBDgOxybbKBUdHng4G/ubsHWJOIiJQTWNdQtM9/IvAakAI86e6rzWwKkOvu2cATwEwz2wDsIBIWtU2N7LI6RnVtm+ra9kDd26a6tj1Qi7bJ9ANcRCTcdGWxiEjIKQhEREJOQXCUzOxJM/vMzN5Ldi1VwczamNliM1tjZqvN7CfJrulYmVlDM3vbzFZFt+nuZNdUFcwsxcz+bWYvJ7uWqmBmm8zsXTNbaWa5yb3TLJ4AAAP1SURBVK7nWJlZMzObZ2bvm9laMzsn2TVVRscIjpKZXQjsAp5x9/Rk13OszKwl0NLdV5hZU2A5MNDd1yS5tKMWvUq9sbvvMrP6wD+An7j7v5Jc2jExs1uALOAEd78i2fUcKzPbBGS5e9VefJUkZvY08Ka7Px49Y/J4d/8y2XUdjvYIjpK7LyVyplOd4O4fu/uK6POdwFoiV37XWh6xKzpZP/qo1b98zKw10A94PNm1yKHM7ETgQiJnROLuB2p6CICCQOKI3gW2C/BWcis5dtFulJXAZ8Bf3b22b9NvgJ8CJckupAo5sMjMlkdvJ1ObtQPygaei3XePm1njZBdVGQWBlGFmTYD5wE3u/lWy6zlW7l7s7plErmzvYWa1thvPzK4APnP35cmupYqd7+5didyp+MfRbtfaqh7QFfiDu3cBdgOH3IK/plEQSKloP/p84Fl3fyHZ9VSl6O75YqBvsms5BucB/aN96rOBnmb2p+SWdOzcfVv0v58BLxK5c3FtlQfkxex5ziMSDDWagkCA0gOrTwBr3f1/kl1PVTCzVDNrFn3eCLgUeD+5VR09d7/d3Vu7e1siV+H/zd2HJ7msY2JmjaMnJxDtQvkeUGvPxHP3T4CtZtYhOqsXUONPuKgVdx+ticzsOeBioIWZ5QG/dPcnklvVMTkPGAG8G+1TB/i5uy9MYk3HqiXwdHSQpOOAOe5eJ065rENOBl6MDkNSD5jl7n9JbknH7Abg2egZQxuBa5NcT6V0+qiISMipa0hEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSASh5kVR++GucrMVpjZuZW0b2Zm1yew3iVmVisGNJfwUBCIxLfX3TPdvTNwO3BfJe2bAZUGgUhNpCAQqdwJwBcQuReTmb0R3Ut418wGRNv8GjgjuhcxNdr2Z9E2q8zs1zHruzo6TsJ6M7ugejdF5FC6slgkvkbRK6wbErlCuWd0/j7gKnf/ysxaAP8ys2wiNxZLj97gDjO7DBgAnO3ue8zsWzHrrufuPczscuCXQO9q2iaRuBQEIvHtjflSPwd4JnrnUgP+b/QOmSVExmw4Oc7rewNPufseAHePHbvi4A39lgNtgylfJHEKApFKuPuy6K//VODy6H+7uXth9E6gDY9wlfuj/y1G/w9KDaBjBCKVMLMzgRRgO3AikTEBCs3sEuDb0WY7gaYxL/srcK2ZHR9dR2zXkEiNol8jIvEdPEYAke6gUe5ebGbPAi+Z2btALtHbWrv7djP7p5m9B7zq7pPMLBPINbMDwELg50nYDpFK6e6jIiIhp64hEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhERELu/wNbVnCY0QR6WAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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8Ofr2vZrf//66IueVnf09lStXLDQ8Xh+NNX78y2zZsp1OnSIHiRs1qseYMcN54okR3HjjnezfHwn5u+4aSJ06tUp8zz/8sIlWrfqyY8cuypQxHn98Ch999BKbN2+lZ8/IFkdOTg6//W17rrii+SGvveOOO9i2bRu9e/dm0qRJR3TGl0X20JQemZmZ/lPPoT0eDhafe27i/1hyeH7qqXmDBw+md+/eNGzY8IhrSPT0STkyw4f/f7p370j9+nVSXcphSbSPLl26lLp16x4yzMwWuXvcCWiLQOQIjRo1KtUlyGG6//7bU13CMUXHCEREQk5BUKocpJTtyRORJPspu/sVBKVIbu4Ktm3LURiISFx59yM43FNKdYygFNm16x5++OEeNm06F2X40Vep0tJUl8DevUd+gTQ5fiXSR/PuUHY4FASliPsWdu7UQa6gNGqU+k2tOXMKXxtJJE9QfVSrlSIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQCDQIza29mX5vZCjMbGmf8WWY228w+NbPPzaxjkPWIiEhhgQWBmZUFxgIdgHrA9WZWr0Cz4cDL7t4I6A48HlQ9IiISX5BbBE2AFe6+yt33A1OALgXaOPCz6ONqwLcB1iMiInEEGQRnAOtinmdHh8W6B+hlZtnAdOAP8SZkZgPMLMvMsjZu3BhErSIioZXqg8XXA8+6e02gI/C8mRWqyd3Hu3umu2empaUlvUgRkeNZkEGwHjgz5nnN6LBY/YGXAdz9Q6ASUCPAmkREpIAgg+BjoI6Z1TazCkQOBk8r0GYtcDmAmdUlEgTa9yMikkSBBYG75wCDgJnAUiJnB31pZiPNrHO02R+B35nZYuBFoJ+7e1A1iYhIYeWCnLi7TydyEDh22N0xj78CWgRZg4iIFC/VB4tFRCTFFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhFygQWBm7c3sazNbYWZDi2hznZl9ZWZfmtnkIOsREZHCygU1YTMrC4wFrgCygY/NbJq7fxXTpg4wDGjh7lvM7NSg6hERkfiC3CJoAqxw91Xuvh+YAnQp0OZ3wFh33wLg7hsCrEdEROIIMgjOANbFPM+ODot1HnCemc0zswVm1j7ehMxsgJllmVnWxo0bAypXRCScUn2wuBxQB2gNXA88ZWYnFWzk7uPdPdPdM9PS0pJcoojI8S3IIFgPnBnzvGZ0WKxsYJq7H3D3fwPLiQSDiIgkSZBB8DFQx8xqm1kFoDswrUCbN4lsDWBmNYjsKloVYE0iIlJAYEHg7jnAIGAmsBR42d2/NLORZtY52mwmsNnMvgJmA4PdfXNQNYmISGHFnj5qZjsAjzcKcHf/WXGvd/fpwPQCw+6OeezAHdEfERFJgWKDwN2rJqsQERFJjZK2CE4pbry7/3h0yxERkWQr6ZvFi4jsGrI44xw4+6hXJCIiSVXSrqHaySpERERSI+FrDZnZyUTO8a+UN8zd/xlEUSIikjwJBYGZ3QTcTuRLYZ8BlwAfApcFV5qIiCRDot8juB24GFjj7m2ARsDWwKoSEZGkSTQI9rr7XgAzq+juy4BfBleWiIgkS6LHCLKjF4N7E/iHmW0B1gRXloiIJEtCQeDu10Qf3mNms4FqwDuBVSUiIkmT0K4hM7vEzKoCuPsHwBwixwlERKSUS/QYwRPAzpjnO6PDRESklEs0CCx6gTgA3P0gAd7vWEREkifRIFhlZreZWfnoz+3ovgEiIseFRINgINCcyB3GsoGmwICgihIRkeRJ9KyhDUTuMCYiIseZRM8aOs/M3jezJdHnDc1seLCliYhIMiS6a+gpYBhwAMDdP0dbCCIix4VEg+AEd/+owLCco12MiIgkX6JBsMnMziF6/2Izuxb4LrCqREQkaRL9LsCtwHjgfDNbD/wb6BlYVSIikjSJnjW0CmhrZlWIbEXsJnKMQBeeExEp5YrdNWRmPzOzYWY2xsyuIBIAfYEVwHXJKFBERIJV0hbB88AWIncj+x1wJ5Eb2V/j7p8FXJuIiCRBSUFwtrs3ADCzCUQOEJ+Vd5MaEREp/Uo6a+hA3gN3zwWyFQIiIseXkrYILjSz7dHHBlSOPjfA3f1ngVYnIiKBKzYI3L1ssgoREZHUSPQLZSIicpxSEIiIhJyCQEQk5BQEIiIhpyAQEQm5QIPAzNqb2ddmtsLMhhbTrquZuZllBlmPiIgUFlgQmFlZYCzQAagHXG9m9eK0qwrcDiwMqhYRESlakFsETYAV7r7K3fcDU4AucdrdBzwI6BvLIiIpEGQQnAGsi3meHR2Wz8waA2e6+9+Lm5CZDTCzLDPL2rhx49GvVEQkxFJ2sNjMygCPAH8sqa27j3f3THfPTEtLC744EZEQCTII1gNnxjyvGR2WpypQH5hjZquBS4BpOmAsIpJcQQbBx0AdM6ttZhWI3NFsWt5Id9/m7jXcPd3d04EFQGd3zwqwJhERKSCwIHD3HGAQMBNYCrzs7l+a2Ugz6xzUfEVE5PAkevP6n8TdpwPTCwy7u4i2rYOsRURE4tM3i0VEQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIBRoEZtbezL42sxVmNjTO+DvM7Csz+9zM3jezWkHWIyIihQUWBGZWFhgLdADqAdebWb0CzT4FMt29IfAq8FBQ9YiISHxBbhE0AVa4+yp33w9MAbrENnD32e6+O/p0AVAzwHpERCSOIIPgDGBdzPPs6LCi9AdmxBthZgPMLMvMsjZu3HgUSxQRkWPiYLGZ9QIygVHxxrv7eHfPdPfMtLS05BYnInKcKxfgtNcDZ8Y8rxkddggzawvcCbRy930B1iMiInEEuUXwMVDHzGqbWQWgOzAttoGZNQKeBDq7+4YAaxERkSIEFgTungMMAmYCS4GX3f1LMxtpZp2jzUYBJwKvmNlnZjatiMmJiEhAgtw1hLtPB6YXGHZ3zOO2Qc5fRERKdkwcLBYRkdRREIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQUxCIiIScgkBEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkFMQiIiEnIJARCTkFAQiIiGnIBARCTkFgYhIyCkIRERCTkEgIhJyCgIRkZBTEIiIhJyCQEQk5BQEIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCEZGQCzQIzKy9mX1tZivMbGic8RXN7KXo+IVmlh5kPSIiUlhgQWBmZYGxQAegHnC9mdUr0Kw/sMXdzwVGAw8GVY+IiMQX5BZBE2CFu69y9/3AFKBLgTZdgP+JPn4VuNzMLMCaRESkgHIBTvsMYF3M82ygaVFt3D3HzLYB1YFNsY3MbAAwIPp0p5l9HUjFR08NCryHY5TqPMQRr4OUluUJpadW1XmII+qjtYoaEWQQHDXuPh4Yn+o6EmVmWe6emeo6SqI6j67SUieUnlpVZ3IEuWtoPXBmzPOa0WFx25hZOaAasDnAmkREpIAgg+BjoI6Z1TazCkB3YFqBNtOAvtHH1wKz3N0DrElERAoIbNdQdJ//IGAmUBZ4xt2/NLORQJa7TwOeBp43sxXAj0TC4nhQWnZjqc6jq7TUCaWnVtWZBKYVcBGRcNM3i0VEQk5BICIScgqCw5DAJTNGm9ln0Z/lZrY1ZlxuzLiCB82Pdp3PmNkGM1tSxHgzs0ej7+NzM2scM66vmX0T/ekb7/VJrLNntL4vzGy+mV0YM251dPhnZpaV4jpbm9m2mL/v3THjiu0zKah1cEydS6L98pTouGQu0zPNbLaZfWVmX5rZ7XHapLyfJljnMdFPj4i76yeBHyIHvFcCZwMVgMVAvWLa/4HIAfK85zuTWOulQGNgSRHjOwIziHw75RJgYXT4KcCq6O+To49PTmGdzfPmT+RSJQtjxq0Gahwjy7M18PaR9plk1Fqg7VVEztRLxTL9BdA4+rgqsLzgsjkW+mmCdR4T/fRIfrRFkLhELpkR63rgxaRUVoC7/5PIWVhF6QI85xELgJPM7BdAO+Af7v6ju28B/gG0T1Wd7j4/WgfAAiLfRUm6BJZnUQ63zxyxw6w1lX30O3f/JPp4B7CUyJUGYqW8nyZS57HST4+EgiBx8S6ZUbDjAmBmtYDawKyYwZXMLMvMFpjZ1cGVmZCi3kvC7zEF+hNZO8zjwLtmtih6CZJUa2Zmi81shpldEB12zC5PMzuByIfnazGDU7JMLXLV4UbAwgKjjql+WkydsY71fhpXqbjERCnUHXjV3XNjhtVy9/VmdjYwy8y+cPeVKaqvVDGzNkT+wX4VM/hX0eV5KvAPM1sWXRtOhU+I/H13mllH4E2gTopqSdRVwDx3j916SPoyNbMTiYTR/3H37UHO60gkUmcp6KdF0hZB4hK5ZEae7hTY5Hb39dHfq4A5RNYsUqWo93I47zEpzKwhMAHo4u75lx+JWZ4bgDeI7IZJCXff7u47o4+nA+XNrAbH4PKMUVwfTcoyNbPyRD5cJ7n763GaHBP9NIE6S0U/LY6CIHGJXDIDMzufyAGsD2OGnWxmFaOPawAtgK+SUnV804A+0bMyLgG2uft3RL4FfmW03pOBK6PDUsLMzgJeB3q7+/KY4VXMrGreYyJ1xj1LJhnM7DSzyOXTzawJkf+rzSTYZ5LNzKoBrYCpMcOSukyjy+tpYKm7P1JEs5T300TqLC39tDjaNZQgT+ySGRD5Z5/i0VMGouoCT5rZQSIfEg+4e2BBYGYvEjmTpYaZZQMjgPLR9zEOmE7kjIwVwG7ghui4H83sPiIfYAAjC+w6SHaddxO5LPnj0c/ZHI9c4fHnwBvRYeWAye7+TgrrvBa42cxygD1A9+jfP26fCarOBGsFuAZ41913xbw0qcuUyMpQb+ALM/ssOuy/gbNiaj0W+mkidR4T/fRI6BITIiIhp11DIiIhpyAQEQk5BYGISMgpCEREQk5BICIScgoCkTjsP1eLXWxmn5hZ8xLan2RmtyQw3TlmVmpvci7HJwWBSHx73D3D3S8EhgF/LaH9SUCJQSByLFIQiJTsZ8AWiFxzxszej24lfGFmeVcTfQA4J7oVMSra9r+ibRab2QMx0/utmX1kkXtWtEzuWxEpTN8sFomvcvSbpJWIXJP+sujwvcA17r49ermQBRa50dBQoL67ZwCYWQcil1Fu6u67LXrzl6hy7t4keoG6EUDbJL0nkbgUBCLx7Yn5UG8GPGdm9YncJOUvZnYpcJDI5Y9/Huf1bYGJ7r4bIpdFiBmXd+GyRUB6MOWLJE5BIFICd/8wuvafRuTaN2nARe5+wMxWE9lqOBz7or9z0f+gHAN0jECkBNErypYlckXRasCGaAi0AWpFm+0gcivDPP8AbojeAIYCu4ZEjilaGxGJL+8YAUR2B/V191wzmwS8ZWZfAFnAMgB332xm8yxy0/gZ7j7YzDKALDPbT+RKmv+dgvchUiJdfVREJOS0a0hEJOQUBCIiIacgEBEJOQWBiEjIKQhEREJOQSAiEnIKAhGRkPtfZ9L70jMmSRsAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Zco5F3HMa-hW"
      },
      "source": [
        "def avg_scores(dataset_name):\n",
        "  url = f'https://raw.githubusercontent.com/Abhishek4848/Datasets/master/Spark%20streaming%20Metrics/{dataset_name}.csv'\n",
        "  df = pd.read_csv(url,header=None)\n",
        "  df.columns = ['Score', 'Accuracy', 'Precision', 'Recall', 'F1 Score']\n",
        "  return([df['Accuracy'].mean(),df['Precision'].mean(),df['Recall'].mean(),df['F1 Score'].mean()])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MzPzfGI1d4xJ"
      },
      "source": [
        "bnb_1k = avg_scores(\"bnb/bNB_1k\")\n",
        "bnb_5k = avg_scores(\"bnb/bNB_5k\")\n",
        "bnb_10k = avg_scores(\"bnb/bNB_10k\")\n",
        "bnb_15k = avg_scores(\"bnb/bNB_15k\")\n",
        "mnb_1k = avg_scores(\"mnb/mNB_1k\")\n",
        "mnb_5k = avg_scores(\"mnb/mNB_5k\")\n",
        "mnb_10k = avg_scores(\"mnb/mNB_10k\")\n",
        "mnb_15k = avg_scores(\"mnb/mNB_15k\")\n",
        "sgd_1k = avg_scores(\"sgd/SGD_1K\")\n",
        "sgd_5k = avg_scores(\"sgd/SGD_5K\")\n",
        "sgd_10k = avg_scores(\"sgd/SGD_10k\")\n",
        "sgd_15k = avg_scores(\"sgd/SGD_15K\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3FLgQjh6ur9g"
      },
      "source": [
        "## BernoulliNB Classifier"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "NyuS4ACmpqTw",
        "outputId": "ca28cfd7-8552-4069-8790-f551b94efa0f"
      },
      "source": [
        "x = np.arange(4)\n",
        "width = 0.2\n",
        "plt.bar(x-0.2,bnb_1k, width, color='red',edgecolor='white')\n",
        "plt.bar(x, bnb_5k, width, color='blue',edgecolor='white')\n",
        "plt.bar(x+0.2, bnb_10k, width, color='lawngreen',edgecolor='white')\n",
        "plt.bar(x+0.4, bnb_15k, width, color='darkgoldenrod',edgecolor='white')\n",
        "plt.xticks(x, ['1k', '5k', '10k', '15k'])\n",
        "plt.xlabel(\"Batch size\")\n",
        "plt.ylabel(\"Metric\")\n",
        "plt.legend([\"Accuracy\", \"Precision\", \"Recall\", \"F1 Score\"])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qxZ_YEl1vKc-"
      },
      "source": [
        "## MultinomialNB Classifier"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "EHWP-BdYrE-y",
        "outputId": "c807ce70-e183-4451-8f2b-a05406072371"
      },
      "source": [
        "x = np.arange(4)\n",
        "width = 0.2\n",
        "plt.bar(x-0.2,mnb_1k, width, color='red',edgecolor='white')\n",
        "plt.bar(x, mnb_5k, width, color='blue',edgecolor='white')\n",
        "plt.bar(x+0.2, mnb_10k, width, color='lawngreen',edgecolor='white')\n",
        "plt.bar(x+0.4, mnb_15k, width, color='darkgoldenrod',edgecolor='white')\n",
        "plt.xticks(x, ['1k', '5k', '10k', '15k'])\n",
        "plt.xlabel(\"Batch size\")\n",
        "plt.ylabel(\"Metric\")\n",
        "plt.legend([\"Accuracy\", \"Precision\", \"Recall\", \"F1 Score\"])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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REWvXruX1119P6mdW15CERmO7GRLpVpDWL17XUKVDfqjWdR9++GHeffddli9fzr333ssrr7zCvHnzqkpVH/JDVaWq33zzTcaMGUOHDh0AuPTSS3njjTeqkkllfaKXX36Zl19+mX79+gGRshRbt27lO9/5TtI+sxKBiEiCjrFj2OOfUuKFNbbpnAn/lTmU4T/uw5DTR/P7uZM5RDklvpbT7eyE9lOZHCAyTnDbbbdx9dVXNzr+mqhrSEQkCfbu2ceqlWurpjcWbSHttG8BcO73BvL4jAXAv0tVDx06lEWLFrFv3z727t3LwoULGTp06BHbHTlyJHPmzKkqUFdSUsKnnyb38e46IxCRFquivCypXXIV5WWktGlYRdMePXrw1VdfceDrMpYt/j88tewhzsg4vWq5uzPjnseYcs3dpB53LO07HMe0uZGB3Tvvv4lbr76bPnP6VJWqHjJkCBMnTmTQoEEAXHXVVfTr1++IK40uuOACNm3axJAhQwDo2LEjTzzxBN/85jcb9DniMW9lt/3n5OR4YWHNp2V1amSJhMZWWPhNRcM3cFeKN38ft46fBGjTpk307t279kaN+fvPyWn4ulG1dQvV5VRr/P4TEe84mtlad48bgLqGRERCTolARCTklAhEpEUJsrv6UO1Xfx4VGnL8NFgsIi1GamoqpaWldOnSBWvMgFINjjmm2YcYAuXulJaW1noHdDyBJgIzywUeAFKAh939j9WWTwTuAUqis/7q7g8HGZNImNX34e3JXr8uaWlpFBcXs3PnzpobffZZw3ewaVNjV+dLb/gGdvFeoxKcu9e5fmpqKmlpafXabmCJwMxSgOnACKAYKDCzJe7+XrWmT7t7zeX8RCRp2lpqo668usP3N+pbo67LN9u2bUt6enrtG8nIaHgA7o1dnd9UNHwDLfXKtSDPCAYB29z9QwAzmw+MBqonAhFpJVSm4+gU5GDxqcCOmOni6LzqxprZO2a2wMy6BRiPiIjE0dxXDT0P9HD3LOAV4NF4jcwsz8wKzayw1r5DERGptyATQQkQ+z/8NP49KAyAu5e6+4Ho5MPAgHgbcvfZ7p7j7jldu3YNJFgRkbAKMhEUAD3NLN3M2gHjgCWxDczslJjJUcCmAOMRafXK9EgECUBgg8XuXm5mk4FlRC4fnePuG81sKlDo7kuAG8xsFFAOfA5MDCoekaNBamqjyz2JHCHQ+wjcfSmwtNq822Pe3wbcFmQMIiJSu+YeLBYJD/XrSAulEhMiTaWx/Tqgvh0JhM4IRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQi6hRGBmY8ysU8z0CWZ2SXBhiYhIU0n0jOC37r6rcsLdvwR+G0xIIiLSlBJNBPHa1fm8YzPLNbMtZrbNzKbU0m6smbmZ5SQYj4iIJEmiiaDQzKaZ2bejr2nA2tpWMLMUYDpwIZABjDezjDjtjgd+DqyuX+giIpIMiSaC64GvgaejrwPAdXWsMwjY5u4fuvvXwHxgdJx2dwF/AsoSjEVERJKozu4dAHffC9TYtVODU4EdMdPFwODYBmbWH+jm7n83s1tq2pCZ5QF5AN27d69nGCIiUptaE4GZ3e/uvzCz5wGvvtzdRzV0x2Z2DDANmFhXW3efDcwGyMnJOSIOERFpuLrOCB6P/ry3AdsuAbrFTKdF51U6HsgEVpoZwLeAJWY2yt0LG7A/ERFpgFoTgbuvjQ765rn75fXcdgHQ08zSiSSAccB/x2x7F3BS5bSZrQRuVhIQEWladQ4Wu3sFcJqZtavPht29HJgMLAM2Ac+4+0Yzm2pmDe5SEhGR5EposBj4EPiHmS0B9lbOdPdpta3k7kuBpdXm3V5D2/MSjEVERJIo0UTwQfR1DJG+fYgzeCwiIq1PoongPXd/NnaGmV0WQDwiItLEEr2h7LYE54mISCtT130EFwIXAaea2YMxi74BlAcZmIiINI26uob+H1AIjOLw2kK7gV8GFZSIiDSduu4jWA+sN7Onom27u/uWJolMRESaRKJjBLlAEfASgJn1jV5KKiIirVyiieAOItVEvwRw9yIgPaCYRESkCSWaCA7GPqEsSvcRiIgcBRK9j2Cjmf03kGJmPYEbgFXBhSUiIk2lPg+mOZPIA2nyga+AXwQVlIiINJ1EH0yzD/hV9CUiIkeRum4oq/XKoMY8mEZERFqGus4IhhB53GQ+kYfLW+ARiYhIk6orEXwLGAGMJ/JQmb8D+e6+MejARESkadQ6WOzuFe7+krtfAZwFbCPyaMnJTRKdiIgErs7BYjM7FriYyFlBD+BBYGGwYYmISFOpa7D4MSIPmF8K3OnuG5okKhERaTJ1nRH8mMijKX8O3GBWNVZsgLv7NwKMTUREmkBd1UcTveFMRERaqUC/6M0s18y2mNk2M5sSZ/k1ZvaumRWZ2ZtmlhFkPCIicqTAEoGZpQDTgQuBDGB8nC/6p9y9j7v3Bf4MTAsqHhERiS/IM4JBwDZ3/9DdvwbmA6NjG7j7VzGTHVBFUxGRJpdo9dGGOJXIXcmVioHB1RuZ2XXAjUA74LvxNmRmeUAeQPfu3ZMeqIhImDX7YLC7T3f3bwO3Ar+uoc1sd89x95yuXbs2bYAiIke5IBNBCdAtZjotOq8m84FLAoxHRETiCDIRFAA9zSzdzNoB44DDqplGH3JT6WJga4DxiIhIHIGNEbh7ebQm0TIgBZjj7hvNbCpQ6O5LgMlmNhw4CHwBXBFUPCIiEl+Qg8W4+1Ii5Sli590e8/7nQe5fRETq1uyDxSIi0ryUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQi7QRGBmuWa2xcy2mdmUOMtvNLP3zOwdM3vVzE4LMh4RETlSYInAzFKA6cCFQAYw3swyqjX7J5Dj7lnAAuDPQcUjIiLxBXlGMAjY5u4fuvvXwHxgdGwDd3/N3fdFJ98G0gKMR0RE4ggyEZwK7IiZLo7Oq8kk4MV4C8wsz8wKzaxw586dSQxRRERaxGCxmf0YyAHuibfc3We7e46753Tt2rVpgxMROcq1CXDbJUC3mOm06LzDmNlw4FfAMHc/EGA8IiISR5BnBAVATzNLN7N2wDhgSWwDM+sHzAJGufunAcYiIiI1CCwRuHs5MBlYBmwCnnH3jWY21cxGRZvdA3QEnjWzIjNbUsPmREQkIEF2DeHuS4Gl1ebdHvN+eJD7FxGRurWIwWIREWk+SgQiIiGnRCAiEnJKBCIiIadEICISckoEIiIhp0QgIhJySgQiIiGnRCAiEnJKBCIiIadEICISckoEIiIhp0QgIhJySgQiIiGnRCAiEnJKBCIiIadEICISckoEIiIhp0QgIhJySgQiIiEXaCIws1wz22Jm28xsSpzl3zGzdWZWbmY/DDIWERGJL7BEYGYpwHTgQiADGG9mGdWa/V9gIvBUUHGIiEjt2gS47UHANnf/EMDM5gOjgfcqG7j79uiyQwHGISIitQiya+hUYEfMdHF0noiItCCtYrDYzPLMrNDMCnfu3Nnc4YiIHFWCTAQlQLeY6bTovHpz99nunuPuOV27dk1KcCIiEhFkIigAeppZupm1A8YBSwLcn4iINEBgicDdy4HJwDJgE/CMu280s6lmNgrAzAaaWTFwGTDLzDYGFY+IiMQX5FVDuPtSYGm1ebfHvC8g0mUkIiLNpFUMFouISHCUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5JQIRERCTolARCTklAhEREJOiUBEJOSUCEREQk6JQEQk5AJNBGaWa2ZbzGybmU2Js/xYM3s6uny1mfUIMh4RETlSYInAzFKA6cCFQAYw3swyqjWbBHzh7v8B3Af8Kah4REQkviDPCAYB29z9Q3f/GpgPjK7WZjTwaPT9AuB7ZmYBxiQiItWYuwezYbMfArnuflV0+ifAYHefHNNmQ7RNcXT6g2ibz6ptKw/Ii072ArYEEnTjnQR8VmcrqYmOX+PpGDbO0Xz8TnP3rvEWtGnqSBrC3WcDs5s7jrqYWaG75zR3HK2Vjl/j6Rg2TliPX5BdQyVAt5jptOi8uG3MrA3QCSgNMCYREakmyERQAPQ0s3QzaweMA5ZUa7MEuCL6/ofACg+qr0pEROIKrGvI3cvNbDKwDEgB5rj7RjObChS6+xLgEeBxM9sGfE4kWbRmLb77qoXT8Ws8HcPGCeXxC2ywWEREWgfdWSwiEnJKBCIiIadE0EBmNsfMPo3eC1E5b6WZhe7Ss4Yys+1m9q6ZFZlZYXSejmENavid62xmr5jZ1ujPE6Pz7zCzm5sv2panhuN3h5mVRH8Hi8zsouj8iWb21+aLtmkpETTcPCC3uYM4Cpzv7n3DeO12A8zjyN+5KcCr7t4TeDU6LfHNI/7f7H3R38G+7r60iWNqEZQIGsjdXydypdMRzOwYM5tnZr9r4rCOGjqGR6rhdy62TMujwCXV1zOzn5rZi2Z2XMAhtmi1/c3WxswuNrO3zOykAMJqEZQIkq8N8CSw1d1/3dzBtHAOvGxma6NlRCrpGCbuZHf/OPr+X8DJsQujl3B/H7jE3fc3dXCtxGQzeyfadXRi7AIzG0PkLOui6qVvjiZKBMk3C9jg7r9v7kBagXPdvT+RCrXXmdl3ovN1DBsgejNm7PXgE4gc2x+6+4HmiarFmwF8G+gLfAz8JWbZd4FbgYvd/YtmiK3JKBEk3yrgfDNLbe5AWjp3L4n+/BRYSKRiLegY1scnZnYKQPTnpzHL3gV6ECnvInG4+yfuXuHuh4C/8e/fQYAPgOOBM5oluCakRJB8jwBLgWei9ZMkDjPrYGbHV74HLgAqr+bQMUxcbJmWK4DFMcv+CVwNLDGz/9XUgbUGlUk0agz//h0E+AgYCzxmZmc2aWBNTImggcwsH3gL6GVmxWY2qXKZu08j8kf4uJnpGMd3MvCmma0H1gB/d/eXKhfqGB6pht+5PwIjzGwrMDw6XcXd3wRuBv5+NA92JqKG4/fn6CXM7wDnA7+MXcfdNwOXA8+a2bebPOgmohITIiIhp/9piYiEnBKBiEjIKRGIiIScEoGISMgpEYiIhJwSgYSGmVVEK0yuN7N1ZnZ2He1PMLNrE9hugyummtlSMzuhIeuKJIsSgYTJ/miFyWzgNuAPdbQ/AagzETSGu1/k7l8GuQ+RuigRSFh9A/gCwMw6mtmr0bOEd81sdLTNH4FvR88i7om2vTXaZr2Zxd68dZmZrTGz981saPWdmdkpZvZ6dFsbKttEn8lwkpldE1MT/3/M7LXo8guilS/XmdmzZtYxyIMi4aQbyiQ0zKyCSP2dVOAU4LvuvjZaxqK9u38Vvfv2baAncBrwgrtnRte/EPgNMNzd95lZZ3f/3MxWAmvd/abog01udPfh1fZ9E5Dq7r83s5To/nab2XYgp7KypZm1BVYAfyZyF+xzwIXuvtfMbgWOdfepQR4nCR/VcZEw2e/ufQHMbAiRGjKZgAF3R6ufHgJOpVo556jhwFx33wfg7rG17Z+L/lxLpNBbdQXAnOgX/SJ3L6ohxgeAFe7+vJl9H8gA/mFmAO2IJAeRpFIikFBy98oHjXQFLor+HODuB6P/S69v5dPKMs8VxPm7cvfXo4nmYmCemU1z98di25jZRCJnIZMrZwGvuPv4esYiUi8aI5BQMrP/BFKAUqAT8Gk0CZxP5MsYYDeRMsSVXgGuNLP20W10rsf+TgM+cfe/AQ8D/astH0CkONyPoyWRIdJFdY6Z/Ue0TQczO+pLIkvT0xmBhMlxZlbZJWPAFe5eYWZPAs+b2btAIbAZwN1LzewfFnnY+YvufouZ9QUKzexrIqWy/3eC+z4PuMXMDgJ7iDw0JtZkoDPwWrQbqNDdr4qeJeSb2bHRdr8G3q/3JxephbxmS0UAAAAzSURBVAaLRURCTl1DIiIhp0QgIhJySgQiIiGnRCAiEnJKBCIiIadEICISckoEIiIh9/8BnNtz973ufEgAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6BuBteVhvYgt"
      },
      "source": [
        "## SGD Classifier"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "WZkrXpVuvT0Q",
        "outputId": "d5d174aa-5c24-42e9-e220-78537dc079d8"
      },
      "source": [
        "x = np.arange(4)\n",
        "width = 0.2\n",
        "plt.bar(x-0.2,sgd_1k, width, color='red',edgecolor='white')\n",
        "plt.bar(x, sgd_5k, width, color='blue',edgecolor='white')\n",
        "plt.bar(x+0.2, sgd_10k, width, color='lawngreen',edgecolor='white')\n",
        "plt.bar(x+0.4, sgd_15k, width, color='darkgoldenrod',edgecolor='white')\n",
        "plt.xticks(x, ['1k', '5k', '10k', '15k'])\n",
        "plt.xlabel(\"Batch size\")\n",
        "plt.ylabel(\"Metric\")\n",
        "plt.legend([\"Accuracy\", \"Precision\", \"Recall\", \"F1 Score\"])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qN1uaa_ZwlKc"
      },
      "source": [
        "## Hyperparameter performance"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V5-HQTS4wqq0"
      },
      "source": [
        "bnb_10k_alpha = avg_scores(\"hyperparameter/bNB_10k_allpha0.5\")\n",
        "mnb_10k_alpha = avg_scores(\"hyperparameter/mNB_10k_alpha0.5\")\n",
        "sgd_10k_alpha = avg_scores(\"hyperparameter/SGD_10k_alpha0.5\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "bh8u3Qe7zX-Q",
        "outputId": "36dec3f2-a2c6-4912-90a0-3b1c69c7881c"
      },
      "source": [
        "x = np.arange(3)\n",
        "width = 0.40\n",
        "plt.bar(x-0.2,[bnb_10k_alpha[0],mnb_10k_alpha[0],sgd_10k_alpha[0]], width, color='red',edgecolor='white')\n",
        "plt.bar(x+0.2,[bnb_10k[0],mnb_10k[0],sgd_10k[0]], width,color='blue',edgecolor='white')\n",
        "plt.xticks(x, ['bnb', 'mnb', 'sgd'])\n",
        "plt.xlabel(\"Model\")\n",
        "plt.ylabel(\"Accuracy\")\n",
        "plt.legend([\"Alpha = 0.5\", \"Alpha = 1\"])\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KPvq5jaVxkgw"
      },
      "source": [
        "# K - Means Clustering"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fX6eIvpvlQcI"
      },
      "source": [
        "def kmc_perf_metric(kmc):\n",
        "  acc=[]\n",
        "  precision=[]\n",
        "  recall=[]\n",
        "  f1_score=[]\n",
        "  batch = []\n",
        "  with open(kmc+'.csv', 'r') as file:\n",
        "      data = csv.reader(file, delimiter = ',')\n",
        "\n",
        "      for row in data:\n",
        "        acc.append(float(row[1]))\n",
        "        precision.append(float(row[2]))\n",
        "        recall.append(float(row[3]))\n",
        "        f1_score.append(float(row[4]))\n",
        "  batch = [i+1 for i in range(len(acc))]\n",
        "  plot_batch_vs_acc(acc, precision, recall, f1_score, batch, kmc)\n",
        "  file.close()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "acq-Vq_J3no0"
      },
      "source": [
        "# Kmeans plot"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B40IWpObZXbx"
      },
      "source": [
        "test "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6acuuuZmacc_",
        "outputId": "963fdcaf-e953-4e55-8176-a5cf42c437d5"
      },
      "source": [
        "import urllib.request\n",
        "urllib.request.urlretrieve(\"https://raw.githubusercontent.com/Abhishek4848/Datasets/master/kmeans_test/batch1_kmeans.txt\",'batch1_kmeans.txt')\n",
        "urllib.request.urlretrieve(\"https://raw.githubusercontent.com/Abhishek4848/Datasets/master/kmeans_test/batch2_kmeans.txt\",\"batch2_kmeans.txt\")\n",
        "urllib.request.urlretrieve(\"https://raw.githubusercontent.com/Abhishek4848/Datasets/master/kmeans_test/batch3_kmeans.txt\",\"batch3_kmeans.txt\")\n",
        "urllib.request.urlretrieve(\"https://raw.githubusercontent.com/Abhishek4848/Datasets/master/kmeans_test/kmeans.csv\",\"kmeans.csv\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "('kmeans.csv', <http.client.HTTPMessage at 0x7fd3f12f6bd0>)"
            ]
          },
          "metadata": {},
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "id": "u4jyHkTX4CpX",
        "outputId": "d13fcc18-7e24-4674-cde3-686834babedb"
      },
      "source": [
        "original_array = np.loadtxt(\"/content/batch1_kmeans.txt\").reshape(2, 10)\n",
        "original_array1 = np.loadtxt(\"/content/batch2_kmeans.txt\").reshape(2, 10)\n",
        "original_array2 = np.loadtxt(\"/content/batch3_kmeans.txt\").reshape(2, 10)\n",
        "\n",
        "plt.figure(figsize=(10,8))\n",
        "plt.scatter(original_array[0],original_array[1],color='b')\n",
        "plt.scatter(original_array1[0],original_array[1],color='r')\n",
        "plt.scatter(original_array2[0],original_array[1],color='g')\n",
        "\n",
        "plt.legend(['1st batch','2nd batch','3rd batch'])\n",
        "plt.title(\"Batch wise cluster centroids\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 1.0, 'Batch wise cluster centroids')"
            ]
          },
          "metadata": {},
          "execution_count": 48
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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P7Ze2E6SAQ0DXhTknTZqkyZMn67rrriu6jTlz5ijXpZKSyaReeeWVgttZvXq1HnzwwQPWaW9v1wknnFB0H/vCpREAAMBBGTp0qL70pS9p+vTpev311zVjxgydeuqpmjRpUr/3ZfXq1Tr88MP1zne+s9/3zZEpAAAGi0xGSialmproMZMJau5tb3ubpk+fLim6vcvEiRO1eXN0e945c+boE5/4hGbNmqXjjjtu/xXPd+7cqXPOOUcTJ07UBz/4Qe3cuTNv+9dcc40aGho0a9YsrV+/XpK0cuVKnXjiiZo2bZpOOeUUvfzyy2pvb9fXvvY1XXvttfuvrv7yyy/rgx/8oKZMmaIpU6bsP2q1d+9effSjH9XkyZP13ve+94D7LxRhCgCAwaDryrsdHZL7GxfbDQxUXdrb2/X444/rxBNP3F+2Z88ePfLII1q+fLmWLVsmSfrqV7+q2tpaPfPMM1q2bJnWrFmTt826ujq1tbVp8eLFuvTSSyVJf/EXf6GHH35Yjz/+uM455xxdc801SiaTuvDCC/VP//RPWrt2rd71rnfpkksu0Xve8x498cQTeuyxxzR58mRJ0m9/+1tdfPHFWrdunUaNGqWf//znwa/9kAxTJQ7eAAYi/hCUXaYto+TypGqW1Si5PKlMG2Nc1bKvvNvlABfbLcb27du1aNEiLV++XEccccT+8rPOOkuSNGPGDLW3t0uS7rvvPp133nmSonvxNTY25m333HPP3f/40EMPSZI2bdqk0047TQ0NDfriF7+odevW5dx21apVuuiiiyRJQ4YMUV1dnSRp/Pjxmjp1aq9+hTjkwlSZgzeAgYA/BGXXdYugjs4OuXz/LYIIVFUsz0V185YXaPfu3Vq0aJFSqdT+8NRl+PDhkqIws2fPnqLbNrNezz/2sY9p8eLFamtr09e//nXt2rWrqDa7+hTSr54OuTBVxuANYKDgD0HZcYugASjPRXXzlhfA3XXBBRdo4sSJuuyyywra5t3vfrd++MMfSpKeeuopPfnkk3nr/uQnP9n/eNJJJ0mSOjs7dfTRR0uSvvvd7+6vO3LkSL3++uv7l+fNm6evfvWrkqJ5Up2dnUW8suIccmGqTMEbwEDCH4Ky4xZBA1D2lXe7HOBiu4V44IEH9P3vf1+rVq3S1KlTNXXqVN12220H3Oaiiy7S9u3bNXHiRH3mM5/RjBkz8tZ99dVX1djYqOuuu07XXnutJOmKK67Q2WefrRkzZmjMmDH76y5YsEA333zz/gno1113ne655x41NDRoxowZevrppw/6dfbF3L1sjR9IU1OT57quRKhkMjqi31MiEV0KB8AgwB+CsksuT6qjs/cYJ+oSar+0vf87NEg988wzmjhxYuEbZDLREdoNG6IjUi0tfV4jbjDKNa5mtsbdm3LVP+SOTJUheAMYaPhDUHbcImiAyr7ybgEX20VhDrkwlX3LiwLucgHgUMQfgrLjFkHAGw6503wAAAwWRZ/mQ0EG/Wk+AACA/kSYAgAACECYAgAACECYAgAAB2XXrl2aNWuWpkyZosmTJ+uzn/1sQdutXr1aH/jAB3qVf+c739HixYuL6sMXvvCFPuucf/75+tnPflZUu8UgTAEAgIMyfPhwrVq1Sk888YTWrl2r22+/XQ8//HCvenv37i1bHwoJU+VGmAIAYJAo9c2pzUyHH364pOgefbt3795/D71kMqlPfOITmj59um666SbdfvvtOv744zV9+nT94he/yNvmxo0bNWfOHE2YMEHLli3bX37mmWdqxowZmjx5stLptCRpyZIl2rlzp6ZOnapUfOmT733ve2psbNSUKVP0t3/7t/u3v++++/TOd75T73jHO0p+lGpoSVsDAABVqevm1F33VOy6ObWkoOuD7d27VzNmzND69et18cUX68QTT9y/bvTo0Xrssce0a9cuTZgwQatWrdKxxx6rD33oQ3nbe+SRR/TUU0+ptrZWM2fO1Omnn66mpibdeOONOvLII7Vz507NnDlTixYt0lVXXaUvf/nLWrt2rSRp3bp1+vznP68HH3xQY8aM0bZt2/a3+9JLL+n+++/Xs88+q4ULF+qv/uqvDvo198SRKQAABoFy3Zx6yJAhWrt2rTZt2rQ/CHXpCk3PPvusxo8frwkTJsjMdN555+Vt79RTT9Xo0aN12GGH6ayzztL9998vSbr++us1ZcoUzZ49Wxs3btRvf/vbXtuuWrVKZ5999v579h155JH715155pmqqanRpEmT9PLLLwe95p4IUwAADALlvjn1qFGjNHfuXN1+++37y9785jcX3U7XacLs5dWrV+uuu+7SQw89pCeeeELTpk3Trl27imp3+PDh+5+X+oLlhCkAAAaB+rr6osoLsWXLFr322muSpJ07d+rOO+/U8ccf36ve8ccfr/b2dj3//POSpB/96Ed527zzzju1bds27dy5U7fccotOPvlkdXZ26i1veYtqa2v17LPPdpvkPmzYMO3evVuS9Jd/+Ze66aabtHXrVknqdpqvnAhTAAAMAuW4OfVLL72kuXPnqrGxUTNnztSpp56a85IHI0aMUDqd1umnn67p06frqKOOytvmrFmztGjRIjU2NmrRokVqamrS/PnztWfPHk2cOFFLlizR7Nmz99dvbm5WY2OjUqmUJk+erKVLl+o973mPpkyZossuu+ygX1sxuDcfAAADVLH35su0ZbT07qXa0LlB9XX1apnXws2pcyj23nz8mg8AgEEi1ZAiPJUBp/kAAAACEKYAAAACEKYAABjAKjX3+VB1MONJmAIAYIAaMWKEtm7dSqAqEXfX1q1bNWLEiKK2YwI6AAAD1Lhx47Rp0yZt2bKl0l05ZIwYMULjxo0rahvCFAAAA9SwYcM0fvz4Sndj0OM0HwAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQADCFAAAQICCwpSZzTez58xsvZktybG+3szuMbPHzexJM3t/6bsKAABQffoMU2Y2RNINkt4naZKkc81sUo9qn5b0U3efJukcSV8pdUcBAACqUSFHpmZJWu/uL7j7nyT9WNIZPeq4pCPi53WS/qd0XQQAAKheQwuoc7SkjVnLmySd2KPOFZJ+bWYfk/RmSaeUpHcAAABVrlQT0M+V9B13Hyfp/ZK+b2a92jazZjNrNbPWLVu2lGjXAAAAlVNImNos6Zis5XFxWbYLJP1Uktz9IUkjJI3p2ZC7p929yd2bxo4de3A9BgAAqCKFhKlHJU0ws/Fm9iZFE8xX9KizQdI8STKziYrCFIeeAACoApm2jJLLk6pZVqPk8qQybZkSNZyRkkmppiZ6zJSo3YGx+/36nDPl7nvMbLGkOyQNkXSju68zsysltbr7Ckn/LOkbZvZPiiajn+/uXs6OAwCAvmXaMmpe2awdu3dIkjo6O9S8slmSlGpIBTSckZqbpR1Ru+roiJYlKRXQ7sDYfTdWqczT1NTkra2tFdk3AACDRXJ5Uh2dHb3KE3UJtV/aHtBwMkowvRpOSO0B7Vbp7s1sjbs35VrHFdABADiEbejcUFR54Q3n2T5feYlVePfdEKYAADiE1dfVF1VeeMN5ts9XXmIV3n03hCkAAA5hLfNaVDustltZ7bBatcxrCWy4Rart3q5qa6PyflDh3XdDmAIA4BCWakgpvSCtRF1CJlOiLqH0gnTY5HMpmuWdTkeTlMyix3S632Z/V3j33TABHQAAoA9MQAcAACgTwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAECAgsKUmc03s+fMbL2ZLclT56/N7GkzW2dmPyxtNwEAAKrT0L4qmNkQSTdIOlXSJkmPmtkKd386q84ESZ+UdLK7v2pmR5WrwwAAANWkkCNTsyStd/cX3P1Pkn4s6YwedT4q6QZ3f1WS3P13pe0mAABAdSokTB0taWPW8qa4LNtxko4zswfM7GEzm1+qDgIAAFSzPk/zFdHOBElzJI2TdJ+ZNbj7a9mVzKxZUrMk1dfXl2jXAAAAlVPIkanNko7JWh4Xl2XbJGmFu+929xcl/beicNWNu6fdvcndm8aOHXuwfQYAAKgahYSpRyVNMLPxZvYmSedIWtGjzi2KjkrJzMYoOu33Qgn7CQAAUJX6DFPuvkfSYkl3SHpG0k/dfZ2ZXWlmC+Nqd0jaamZPS7pH0uXuvrVcnQYAAKgW5u4V2XFTU5O3trZWZN8AAADFMLM17t6Uax1XQAcAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAAAhAmAIAoApl2jJKLk+qZlmNksuTyrRlclTKSMmkVFMTPWZy1Cl1v/p/l1VvaKU7AAAAusu0ZdS8slk7du+QJHV0dqh5ZbMkKdWQiitlpOZmaUdURx0d0bIkpVLl6Vf/73JAMHevyI6bmpq8tbW1IvsGAKCaJZcn1dHZ0as8UZdQ+6XtcaVklGZ6VUpI7e3l6Vf/77JqmNkad2/KtY7TfAAAVJkNnRv6Lt+Qu07e8hKowC4HBMIUAABVpr6uvu/y+tx18paXQAV2OSAQpgAAqDIt81pUO6y2W1ntsFq1zGvJqtQi1Xavo9raqLxc/er/XQ4IhCkAAKpMqiGl9IK0EnUJmUyJuoTSC9JvTD6Xohnf6XQ0YcksekynyzoTvAK7HBCYgA4AANAHJqADAACUCWEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgAGEKAAAgQEFhyszmm9lzZrbezJYcoN4iM3MzaypdFwEAAKpXn2HKzIZIukHS+yRNknSumU3KUW+kpP8n6Tel7iQAAEC1KuTI1CxJ6939BXf/k6QfSzojR73PSbpa0q4S9g8AAKCqFRKmjpa0MWt5U1y2n5lNl3SMu/+yhH0DAACoesET0M2sRtJ/SPrnAuo2m1mrmbVu2bIldNcAAAAVV0iY2izpmKzlcXFZl5GSTpC02szaJc2WtCLXJHR3T7t7k7s3jR079uB7DaCiMm0ZJTTWdqsAABA6SURBVJcnVbOsRsnlSWXaMv2w04yUTEo1NdFjprB9HuRmAFCwoQXUeVTSBDMbryhEnSPpb7pWununpDFdy2a2WtLH3b21tF0FUA0ybRk1r2zWjt07JEkdnR1qXtksSUo1pMq004zU3CztiPapjo5oWZJS+fd5kJsBQFH6PDLl7nskLZZ0h6RnJP3U3deZ2ZVmtrDcHQRQXZbevXR/kOqyY/cOLb17aRl3uvSNRLR/pzui8tJvBgBFMXevyI6bmpq8tZWDV8BAU7OsRq7efzdMpn2f3VemndZIuf5WmUn78u/zIDcDgF7MbI2757yOJldAB1CU+rr6ospLs9M8becrD9sMAIpCmAJQlJZ5LaodVtutrHZYrVrmtZRxpy1Sbfd9qrY2Ki/9ZgBQFMIUgKKkGlJKL0grUZeQyZSoSyi9IF2+yedSNFs8nZYSiegcXSIRLfcxi/wgNwOAojBnCgAAoA/MmQIAACgTwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAEAAwhQAAECAgsKUmc03s+fMbL2ZLcmx/jIze9rMnjSzu80sUfquAkCVy2SkZFKqqYkeM5mB0HTxfWnLKLk8qZplNUouTyrTVsHOAFVgaF8VzGyIpBsknSppk6RHzWyFuz+dVe1xSU3uvsPMLpJ0jaQPlaPDAFCVMhmpuVnasSNa7uiIliUplarWpovvS1tGzSubtWN31JmOzg41r4w6k2ro584AVcLc/cAVzE6SdIW7nxYvf1KS3P3f8tSfJunL7n7ygdptamry1tbWg+o0AFSdZDJKOT0lElJ7e7U2XXxflifV0dm7M4m6hNov7efOAP3IzNa4e1OudYWc5jta0sas5U1xWT4XSPpVno40m1mrmbVu2bKlgF0DwACxYUNx5dXRdNE2dObeab5yYDAo6QR0MztPUpOkL+Za7+5pd29y96axY8eWctcAUFn19cWVV0fTRauvy73TfOXAYFBImNos6Zis5XFxWTdmdoqkpZIWuvsfS9M9ABggWlqk2truZbW1UXn1Nl18X+a1qHZY987UDqtVy7wKdAaoEoWEqUclTTCz8Wb2JknnSFqRXSGeJ/V1RUHqd6XvJgBUuVRKSqejiUxm0WM6XZIZ4mVsuvi+NKSUXpBWoi4hkylRl1B6QZrJ5xjU+pyALklm9n5JyyUNkXSju7eY2ZWSWt19hZndJalB0kvxJhvcfeGB2mQCOgAAGCgONAG9z0sjSJK73ybpth5ln8l6fkpQDwEAAAYoroAOAAAQgDAFDHDVdGXsweaNK4GbkpcPVabReBOAQaig03wAqlM1XRl7sOl1JfDD96p5gaSVHUrxJgCDSkET0MuBCehAuGq6MvZgk/dK4K9J7cvFmwAcYkKvgA6gSlXTlbEHm7xXAq/resKbAAwWhClgAKumK2MPNnmvBN7Z9YQ3ARgsCFPAAFZNV8YebHJeCfxPUsvd4k0ABhnCFDCAVdOVsQeb7lcClxLbhyi9Ukr9njcBGGyYgA4AANAHJqADAACUCWEKAAAgAGEKAAAgAGEKAEqgnLf1eeO2NTVKLk8q0xbQOPcfAkqO28kAQKBy3tan121rOjvUvDJqPNVQZOPcfwgoC37NBwCBynlbn7y3ralLqP3SIhvn/kPAQePXfABQRuW8rU/e29bkKT9wY9x/CCgHwhQABCrnbX3y3rYmT/mBG+P+Q0A5EKYAIFA5b+uT87Y1w2rVMu8gGuf+Q0BZEKYAIFA5b+vT/bY1pkRdQukF6eInn5e7o8AgxgR0AACAPjABHQAAoEwIUwAAAAEIUwAAAAEIUwAAAAEIUwAAAAEIUwAAAAEIUwAAAAEIUwAAAAEIUwAAAAEIUyhKJiMlk1JNTfSYyfTXxkBxMm0ZJZcnVbOsRsnlSWXa+LwBKI+hle4ABo5MRmpulnbsiJY7OqJlqYBbewVtDBQn05ZR88pm7dgdfd46OjvUvDL6vB3UPe0A4AC4Nx8KlkxGGainREJqby/nxkBxksuT6ujs/XlL1CXUfml7/3cIwIDHvflQEhs2FFdeuo2B4mzozP25ylcOACEIUyhYfX1x5aXbGChOfV3uz1W+cgAIQZhCwVpapNra7mW1tVF5eTcGitMyr0W1w7p/3mqH1aplHp83AKVHmELBUikpnY6mOZlFj+l0gfPHgzYGipNqSCm9IK1EXUImU6IuofSCNJPPAZQFE9ABAAD6wAR0AACAMiFMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAQAABCBMAX3IZKRkUqqpiR4zmYG6kyK605ZRcnlSNctqlFyeVKatsv0BgGo2tNIdAKpZJiM1N0s7dkTLHR3RsiSlUgNpJ0V0py2j5pXN2rE76k9HZ4eaV0b9STX0f38AoNqZu1dkx01NTd7a2lqRfQOFSiajbNNTIiG1tw+knRQuuTypjs7e/UnUJdR+af/3BwCqgZmtcfemXOs4zQccwIYNxZVX704Kt6Ez937zlQPAYEeYAg6gvr648urdSeHq63LvN185AAx2BYUpM5tvZs+Z2XozW5Jj/XAz+0m8/jdmlix1R4FKaGmRamu7l9XWRuUDaydFdGdei2qHde9P7bBatcyrTH8AoNr1GabMbIikGyS9T9IkSeea2aQe1S6Q9Kq7HyvpWklXl7qjQCWkUlI6HU1fMose0+kSzwvvl50U0Z2GlNIL0krUJWQyJeoSSi9IM/kcAPLocwK6mZ0k6Qp3Py1e/qQkufu/ZdW5I67zkJkNlfS/ksb6ARpnAjoAABgoQiegHy1pY9byprgsZx133yOpU9Lo4rsKAAAwsPTrBHQzazazVjNr3bJlS3/uGgAAoCwKCVObJR2TtTwuLstZJz7NVydpa8+G3D3t7k3u3jR27NiD6zEAAEAVKSRMPSppgpmNN7M3STpH0ooedVZI+nD8/K8krTrQfCkAAIBDRZ+3k3H3PWa2WNIdkoZIutHd15nZlZJa3X2FpG9J+r6ZrZe0TVHgAgAAOOQVdG8+d79N0m09yj6T9XyXpLNL2zUAAIDqxxXQAQAAAhCmAAAAAhCmAAAAAhCmAAAAAhCmAAAAAhCmAAAAAhCmAAAAAhCmAAAAAhCmAAAAAlilbqFnZlskdVRk55UxRtIrle5EFWJcemNMemNMcmNcemNMcmNceit2TBLuPjbXioqFqcHGzFrdvanS/ag2jEtvjElvjElujEtvjElujEtvpRwTTvMBAAAEIEwBAAAEIEz1n3SlO1ClGJfeGJPeGJPcGJfeGJPcGJfeSjYmzJkCAAAIwJEpAACAAISpEjCz+Wb2nJmtN7MlOdZfZmZPm9mTZna3mSWy1u01s7XxvxX92/PyKWBMLjSztvh1329mk7LWfTLe7jkzO61/e14+BzsmZpY0s51Zn5Ov9X/vy6evccmqt8jM3MyassoG5Wclq163MRnsnxUzO9/MtmS9/n/IWvdhM/tt/O/D/dvz8gkck0H5/RPX+ev4e3mdmf0wq/zgPifuzr+Af5KGSHpe0jskvUnSE5Im9agzV1Jt/PwiST/JWre90q+hQmNyRNbzhZJuj59PiusPlzQ+bmdIpV9ThcckKempSr+GSo1LXG+kpPskPSypabB/Vg4wJoP6syLpfElfzrHtkZJeiB/fEj9/S6VfUyXHJF43WL9/Jkh6vOszIOmo0M8JR6bCzZK03t1fcPc/SfqxpDOyK7j7Pe6+I158WNK4fu5jfytkTH6ftfhmSV2T986Q9GN3/6O7vyhpfdzeQBcyJoeyPscl9jlJV0valVU2aD8rsVxjcigrdFxyOU3Sne6+zd1flXSnpPll6md/ChmTQ1UhY/JRSTfEnwW5++/i8oP+nBCmwh0taWPW8qa4LJ8LJP0qa3mEmbWa2cNmdmY5OlgBBY2JmV1sZs9LukbSJcVsOwCFjIkkjTezx83sXjN7V3m72q/6HBczmy7pGHf/ZbHbDlAhYyIN4s9KbFE8peJnZnZMkdsONCFjIg3e75/jJB1nZg/Er31+EdvmRJjqR2Z2nqQmSV/MKk54dAXWv5G03Mz+vCKdqwB3v8Hd/1zSJyR9utL9qQZ5xuQlSfXuPk3SZZJ+aGZHVKqP/cnMaiT9h6R/rnRfqkUfYzJoPyuxlZKS7t6o6KjCdyvcn2pwoDEZrN8/QxWd6psj6VxJ3zCzUSENEqbCbZaUnfTHxWXdmNkpkpZKWujuf+wqd/fN8eMLklZLmlbOzvaTgsYky48ldf1fUbHbDhQHPSbxaayt8fM1iuYDHFemfva3vsZlpKQTJK02s3ZJsyWtiCdcD9bPSt4xGeSfFbn71qy/r9+UNKPQbQeokDEZzN8/myStcPfd8RSB/1YUrg7+c1LpyWID/Z+ihPuCogmwXZPdJveoM03RH7UJPcrfIml4/HyMpN8qx0TTgfavwDGZkPV8gaTW+PlkdZ9U/IIOjUnFIWMytmsMFE2q3CzpyEq/pv4alx71V+uNydaD9rNygDEZ1J8VSW/Lev5BSQ/Hz4+U9GL8N/ct8fMBPy6BYzKYv3/mS/pu1mvfKGl0yOdkqBDE3feY2WJJdyj6FcGN7r7OzK5U9GW4QtFpvcMl3WRmkrTB3RdKmijp62a2T9FRwqvc/emKvJASKnBMFsdH63ZLelXSh+Nt15nZTyU9LWmPpIvdfW9FXkgJhYyJpHdLutLMdkvaJ+lCd9/W/6+i9Aocl3zbDubPSj6D/bNyiZktVPR52Kbol2xy921m9jlJj8bNXXkojEvImGhwf//cIem9Zva0pL2SLvf4iO7Bfk64AjoAAEAA5kwBAAAEIEwBAAAEIEwBAAAEIEwBAAAEIEwBAAAEIEwBAAAEIEwBAAAEIEwBAAAE+P9RW03zQwOXRwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gsNWheatRAEK"
      },
      "source": [
        "import pandas as pd\n",
        "df = pd.read_csv('/content/kmeans.csv')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 404
        },
        "id": "KiZW1IRcWIBb",
        "outputId": "0bb4279c-55a2-4dda-b6a0-3bd0fc59e0fa"
      },
      "source": [
        "plt.figure(figsize=(8,6))\n",
        "plt.plot(df['acc'].tolist(),marker='o')\n",
        "plt.title('accuracy over batches')\n",
        "plt.xlabel('Batches')\n",
        "plt.ylabel('Accuracy')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}