What_does_BLM_say_Part_2.ipynb

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  "metadata": {
    "colab": {
      "name": "What does BLM say Part 2.ipynb",
      "provenance": [],
      "collapsed_sections": [
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      "name": "python3",
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AkLg-rAwlXfr"
      },
      "source": [
        "### **Importing Libraries**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3QpphgsOm_gK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 151
        },
        "outputId": "a8bb3688-d62f-47ee-da6d-8049bfddb425"
      },
      "source": [
        "!pip install demoji"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Requirement already satisfied: demoji in /usr/local/lib/python3.6/dist-packages (0.2.1)\n",
            "Requirement already satisfied: requests<3.0.0 in /usr/local/lib/python3.6/dist-packages (from demoji) (2.23.0)\n",
            "Requirement already satisfied: setuptools in /usr/local/lib/python3.6/dist-packages (from demoji) (49.2.0)\n",
            "Requirement already satisfied: colorama in /usr/local/lib/python3.6/dist-packages (from demoji) (0.4.3)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.6/dist-packages (from requests<3.0.0->demoji) (2020.6.20)\n",
            "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests<3.0.0->demoji) (2.10)\n",
            "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from requests<3.0.0->demoji) (1.24.3)\n",
            "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests<3.0.0->demoji) (3.0.4)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0A-Rw-5MhsPI"
      },
      "source": [
        "from sklearn.feature_extraction.text import TfidfVectorizer\n",
        "from sklearn.cluster import KMeans\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "import re\n",
        "import matplotlib.pyplot as plt \n",
        "import matplotlib.colors as mcolors\n",
        "import demoji \n",
        "demoji.download_codes()\n",
        "from textblob import TextBlob\n",
        "import plotly.express as px\n",
        "import plotly.graph_objects as go\n",
        "from plotly.subplots import make_subplots\n",
        "import itertools\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1evxhij2lULC"
      },
      "source": [
        "### **Importing Datasets**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "670slS3QzdpX"
      },
      "source": [
        "def remove_URL(sample):\n",
        "    return re.sub(r\"http\\S+\", \"\", sample) "
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pnzP2S9DjIal"
      },
      "source": [
        "blm_tweets=pd.read_csv(\"https://raw.githubusercontent.com/DeepanNarayanaMoorthy/What-Does-BLM-Say/master/datasets/blm_tweets.csv\", error_bad_lines=False)\n",
        "blm_news=pd.read_csv(\"https://raw.githubusercontent.com/DeepanNarayanaMoorthy/What-Does-BLM-Say/master/datasets/blm_news.csv\", error_bad_lines=False)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "F0POAXFgjSjq",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343
        },
        "outputId": "981efc56-4d6e-4698-9993-327238ef8835"
      },
      "source": [
        "blm_tweets[:10]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>Unnamed: 0</th>\n",
              "      <th>Date</th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "      <th>Hashtags</th>\n",
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              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0</td>\n",
              "      <td>2020-07-31 23:52:04+00:00</td>\n",
              "      <td>Willimperial</td>\n",
              "      <td>😂 “The Liar Tweets Tonight” #resist #resistanc...</td>\n",
              "      <td>#resist #resistance #DumpTrump2020 #DumpTrump ...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1</td>\n",
              "      <td>2020-07-31 23:47:44+00:00</td>\n",
              "      <td>robbystarbuck</td>\n",
              "      <td>Going to go tell BLM protestors I’m Republican...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2</td>\n",
              "      <td>2020-07-31 23:34:25+00:00</td>\n",
              "      <td>DemocracyInn</td>\n",
              "      <td>Wow The @WallOfDocs has joined the Portland pr...</td>\n",
              "      <td>#BlackLivesMatter #BlackLivesMatter #ImpotusAm...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>3</td>\n",
              "      <td>2020-07-31 23:33:39+00:00</td>\n",
              "      <td>MDconnected</td>\n",
              "      <td>If our flag is racists, why did they cover Joh...</td>\n",
              "      <td>#BLM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>4</td>\n",
              "      <td>2020-07-31 23:30:20+00:00</td>\n",
              "      <td>GamingMegaverse</td>\n",
              "      <td>Whether the league does it or not I will. #Kne...</td>\n",
              "      <td>#Kneel4Hockey #BLM</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>5</td>\n",
              "      <td>2020-07-31 22:51:45+00:00</td>\n",
              "      <td>JennaEllisEsq</td>\n",
              "      <td>Well done and well said. “The answer is the Go...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>6</td>\n",
              "      <td>2020-07-31 22:44:49+00:00</td>\n",
              "      <td>andreawatkns</td>\n",
              "      <td>Beautiful moment #BLM #SayTheirNames</td>\n",
              "      <td>#BLM #SayTheirNames</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>7</td>\n",
              "      <td>2020-07-31 22:37:45+00:00</td>\n",
              "      <td>MatteaMerta</td>\n",
              "      <td>The CBC was willing to cover BLM day and night...</td>\n",
              "      <td>#DefundTheCBC</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>8</td>\n",
              "      <td>2020-07-31 22:30:32+00:00</td>\n",
              "      <td>BlaqRosebudClub</td>\n",
              "      <td>Good for Orlando Magic's player Jonathan Issac...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>9</td>\n",
              "      <td>2020-07-31 22:09:17+00:00</td>\n",
              "      <td>Paul52228396</td>\n",
              "      <td>#BLM = Burn Loot Murder. Thanks Jim Jordan!😏</td>\n",
              "      <td>#BLM</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   Unnamed: 0  ...                                           Hashtags\n",
              "0           0  ...  #resist #resistance #DumpTrump2020 #DumpTrump ...\n",
              "1           1  ...                                                NaN\n",
              "2           2  ...  #BlackLivesMatter #BlackLivesMatter #ImpotusAm...\n",
              "3           3  ...                                               #BLM\n",
              "4           4  ...                                 #Kneel4Hockey #BLM\n",
              "5           5  ...                                                NaN\n",
              "6           6  ...                                #BLM #SayTheirNames\n",
              "7           7  ...                                      #DefundTheCBC\n",
              "8           8  ...                                                NaN\n",
              "9           9  ...                                               #BLM\n",
              "\n",
              "[10 rows x 5 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wbNTAdrvj677",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 491
        },
        "outputId": "367a8ae0-6aa7-4a04-9549-c4412bca40ab"
      },
      "source": [
        "blm_news[\"Text\"]=[remove_URL(i) for i in blm_news[\"Text\"]]\n",
        "blm_news.drop_duplicates(subset =\"Text\", \n",
        "                     keep = False, inplace = True)\n",
        "blm_news.reset_index(drop=True, inplace=True)\n",
        "blm_news.shape\n",
        "blm_news[:15]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "    .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",
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              "      <th>Date</th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "      <th>Hashtags</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0</td>\n",
              "      <td>2020-06-10 17:42:40+00:00</td>\n",
              "      <td>BBCNews</td>\n",
              "      <td>Reni Eddo-Lodge breaks book chart record amid ...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1</td>\n",
              "      <td>2020-07-25 13:59:02+00:00</td>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>They are planning BLM style protests in Westmi...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2</td>\n",
              "      <td>2020-06-20 11:28:01+00:00</td>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>Many young activists ignored BLM UK’s advice n...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>3</td>\n",
              "      <td>2020-05-25 16:00:13+00:00</td>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>“The general public has become a bit exhausted...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>9</td>\n",
              "      <td>2020-06-11 09:29:11+00:00</td>\n",
              "      <td>Reuters</td>\n",
              "      <td>Motor racing: McLaren's Norris loses followers...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>10</td>\n",
              "      <td>2020-07-29 20:59:30+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Guardian front page, Thursday 30 July 2020: Yo...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>11</td>\n",
              "      <td>2020-07-29 10:25:43+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>‘I want to stand up to Trump’: Portland protes...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>12</td>\n",
              "      <td>2020-07-23 21:43:37+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>NSW police chief undermined legal challenge to...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>13</td>\n",
              "      <td>2020-07-22 18:55:37+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>'Wall of Moms' protect Portland's BLM proteste...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>14</td>\n",
              "      <td>2020-07-11 19:56:50+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Thousands march through Brighton to support BL...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>15</td>\n",
              "      <td>2020-06-30 11:02:02+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Police tell woman to cover up anti-Boris Johns...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>16</td>\n",
              "      <td>2020-06-30 06:15:35+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Australian journalist tells US inquiry she was...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>17</td>\n",
              "      <td>2020-06-29 11:23:26+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Beyoncé and Alicia Keys pay tribute to BLM mov...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>18</td>\n",
              "      <td>2020-06-18 14:07:04+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>BLM protests prompt Edinburgh to reassess fate...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>19</td>\n",
              "      <td>2020-06-15 21:55:27+00:00</td>\n",
              "      <td>guardian</td>\n",
              "      <td>Dean Smith says he fully supports Tyrone Mings...</td>\n",
              "      <td>NaN</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "    Unnamed: 0  ... Hashtags\n",
              "0            0  ...      NaN\n",
              "1            1  ...      NaN\n",
              "2            2  ...      NaN\n",
              "3            3  ...      NaN\n",
              "4            9  ...      NaN\n",
              "5           10  ...      NaN\n",
              "6           11  ...      NaN\n",
              "7           12  ...      NaN\n",
              "8           13  ...      NaN\n",
              "9           14  ...      NaN\n",
              "10          15  ...      NaN\n",
              "11          16  ...      NaN\n",
              "12          17  ...      NaN\n",
              "13          18  ...      NaN\n",
              "14          19  ...      NaN\n",
              "\n",
              "[15 rows x 5 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rghnz-bLlkQx"
      },
      "source": [
        "### **Extracting Emojis**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GupxufAalgQA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "248ee3eb-6c8f-4f15-98ec-97e9cd62150f"
      },
      "source": [
        "emojis=[demoji.findall(str(text)) for text in list(blm_tweets[\"Text\"])]\n",
        "emojis=[' '.join(list(i.values())) for i in emojis]\n",
        "blm_tweets[\"Emojis\"]=emojis\n",
        "blm_tweets[:10]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "    }\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>Unnamed: 0</th>\n",
              "      <th>Date</th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "      <th>Hashtags</th>\n",
              "      <th>Emojis</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0</td>\n",
              "      <td>2020-07-31 23:52:04+00:00</td>\n",
              "      <td>Willimperial</td>\n",
              "      <td>😂 “The Liar Tweets Tonight” #resist #resistanc...</td>\n",
              "      <td>#resist #resistance #DumpTrump2020 #DumpTrump ...</td>\n",
              "      <td>face with tears of joy</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1</td>\n",
              "      <td>2020-07-31 23:47:44+00:00</td>\n",
              "      <td>robbystarbuck</td>\n",
              "      <td>Going to go tell BLM protestors I’m Republican...</td>\n",
              "      <td>NaN</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2</td>\n",
              "      <td>2020-07-31 23:34:25+00:00</td>\n",
              "      <td>DemocracyInn</td>\n",
              "      <td>Wow The @WallOfDocs has joined the Portland pr...</td>\n",
              "      <td>#BlackLivesMatter #BlackLivesMatter #ImpotusAm...</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>3</td>\n",
              "      <td>2020-07-31 23:33:39+00:00</td>\n",
              "      <td>MDconnected</td>\n",
              "      <td>If our flag is racists, why did they cover Joh...</td>\n",
              "      <td>#BLM</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>4</td>\n",
              "      <td>2020-07-31 23:30:20+00:00</td>\n",
              "      <td>GamingMegaverse</td>\n",
              "      <td>Whether the league does it or not I will. #Kne...</td>\n",
              "      <td>#Kneel4Hockey #BLM</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>5</td>\n",
              "      <td>2020-07-31 22:51:45+00:00</td>\n",
              "      <td>JennaEllisEsq</td>\n",
              "      <td>Well done and well said. “The answer is the Go...</td>\n",
              "      <td>NaN</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>6</td>\n",
              "      <td>2020-07-31 22:44:49+00:00</td>\n",
              "      <td>andreawatkns</td>\n",
              "      <td>Beautiful moment #BLM #SayTheirNames</td>\n",
              "      <td>#BLM #SayTheirNames</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>7</td>\n",
              "      <td>2020-07-31 22:37:45+00:00</td>\n",
              "      <td>MatteaMerta</td>\n",
              "      <td>The CBC was willing to cover BLM day and night...</td>\n",
              "      <td>#DefundTheCBC</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>8</td>\n",
              "      <td>2020-07-31 22:30:32+00:00</td>\n",
              "      <td>BlaqRosebudClub</td>\n",
              "      <td>Good for Orlando Magic's player Jonathan Issac...</td>\n",
              "      <td>NaN</td>\n",
              "      <td></td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>9</td>\n",
              "      <td>2020-07-31 22:09:17+00:00</td>\n",
              "      <td>Paul52228396</td>\n",
              "      <td>#BLM = Burn Loot Murder. Thanks Jim Jordan!😏</td>\n",
              "      <td>#BLM</td>\n",
              "      <td>smirking face</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "   Unnamed: 0  ...                  Emojis\n",
              "0           0  ...  face with tears of joy\n",
              "1           1  ...                        \n",
              "2           2  ...                        \n",
              "3           3  ...                        \n",
              "4           4  ...                        \n",
              "5           5  ...                        \n",
              "6           6  ...                        \n",
              "7           7  ...                        \n",
              "8           8  ...                        \n",
              "9           9  ...           smirking face\n",
              "\n",
              "[10 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wwf0ykw6wHA3"
      },
      "source": [
        "### **Cluster Identification on BLM Tweets**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "c7WW1FzbwNQN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "171b13a1-651b-4625-b556-a13c40a4692b"
      },
      "source": [
        "blm_texts=[str(i) for i in blm_tweets[\"Text\"]]\n",
        "blm_texts=[remove_URL(i) for i in blm_texts]\n",
        "blm_texts[:15]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "['😂 “The Liar Tweets Tonight” #resist #resistance #DumpTrump2020 #DumpTrump #Biden2020 #RidinWithBiden #blm #bluewave #TrumpIsNotWell #COVID19 #maga',\n",
              " 'Going to go tell BLM protestors I’m Republican and ask what they think about Republicans. ',\n",
              " 'Wow The @WallOfDocs has joined the Portland protests in support of the #BlackLivesMatter movement! Retweet if you Support BLM #ImpotusAmericanas',\n",
              " 'If our flag is racists, why did they cover John Lewis’ casket with one? #BLM. @NBA',\n",
              " 'Whether the league does it or not I will. #Kneel4Hockey #BLM ',\n",
              " 'Well done and well said. “The answer is the Gospel.”',\n",
              " 'Beautiful moment #BLM #SayTheirNames',\n",
              " \"The CBC was willing to cover BLM day and night yet they didn't even bother showing up to Toronto's march against child sex trafficking... #DefundTheCBC\",\n",
              " \"Good for Orlando Magic's player Jonathan Issac for STANDING during the National Anthem & REFUSING to wear a BLM t-shirt over his jersey! More should be like this @NBA player!\",\n",
              " '#BLM = Burn Loot Murder. Thanks Jim Jordan!😏',\n",
              " 'Johnathan Issac gives insight to why he stood during the anthem without a BLM t-shirt: \"I don\\'t think kneeling or wearing a shirt for me is the answer. For me, black lives are supported through the gospel... all lives are supported through the gospel.”',\n",
              " '#DanielPerry killed a #BLM terrorist I believe he should be awarded the Soldiers Medal He is a US cavalry soldier who acted heroically in self defense when attacked by a mob incl #GarrettFoster who pointed an AK47 at him That qualifies RT to agree ',\n",
              " 'BLM is a terrorist and extortion operation ! People.. STOP giving them money over BS peer pressure!',\n",
              " '“It’s not about black to them, it’s about green.” @PastorDScott on professional sports teams’ and athletes’ real motivation for promoting BLM, Inc’s Marxist agenda. Hear more from Pastor Scott on #CPACLive.',\n",
              " 'Not a movement. It’s a lifestyle. #BLM ']"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0jfdgNLEweLO"
      },
      "source": [
        "vectorizer = TfidfVectorizer(stop_words='english')\n",
        "X = vectorizer.fit_transform(blm_texts)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gSav0Eg6wujF",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "b8d51a08-a385-44b6-bbe1-49de8a848218"
      },
      "source": [
        "true_k = 10\n",
        "model = KMeans(n_clusters=true_k, init='k-means++', max_iter=100, n_init=1)\n",
        "model.fit(X)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=100,\n",
              "       n_clusters=10, n_init=1, n_jobs=None, precompute_distances='auto',\n",
              "       random_state=None, tol=0.0001, verbose=0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x8jnaJM5w0k0"
      },
      "source": [
        "order_centroids = model.cluster_centers_.argsort()[:, ::-1]\n",
        "terms = vectorizer.get_feature_names()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "I8I60vjxw0-q",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "21a24079-bac5-4167-f777-7993e00e6af6"
      },
      "source": [
        "for i in range(true_k):\n",
        " print('Cluster' + str(i))\n",
        " print(\"--------\")\n",
        " for ind in order_centroids[i, :10]:\n",
        "   print('\\b'+ str(terms[ind])   +',') \n",
        " print(\"======================\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Cluster0\n",
            "--------\n",
            "\bjusticeforgeorgefloyd,\n",
            "\bblacklivesmatter,\n",
            "\bjusticeforbreonnataylor,\n",
            "\bpeople,\n",
            "\btoday,\n",
            "\bprotest,\n",
            "\bbreak,\n",
            "\bjust,\n",
            "\bdon,\n",
            "\bchain,\n",
            "======================\n",
            "Cluster1\n",
            "--------\n",
            "\bmatter,\n",
            "\blives,\n",
            "\bblack,\n",
            "\bblm,\n",
            "\bblacklivesmatter,\n",
            "\bmovement,\n",
            "\bpeople,\n",
            "\bprotest,\n",
            "\bwhite,\n",
            "\bjusticeforgeorgefloyd,\n",
            "======================\n",
            "Cluster2\n",
            "--------\n",
            "\bracism,\n",
            "\bblacklivesmatter,\n",
            "\btaketheknee,\n",
            "\bjusticeforgeorgefloyd,\n",
            "\b6pm,\n",
            "\bantiracismday,\n",
            "\bicantbreathe,\n",
            "\bwedemandchange,\n",
            "\bgeorgefloyd,\n",
            "\bjune,\n",
            "======================\n",
            "Cluster3\n",
            "--------\n",
            "\blove,\n",
            "\bivehadenough,\n",
            "\bjusticeforbreonnataylor,\n",
            "\bjusticeforgeorgefloyd,\n",
            "\btime,\n",
            "\btwin,\n",
            "\brighteous,\n",
            "\bblacklivesmatter,\n",
            "\bwon,\n",
            "\blet,\n",
            "======================\n",
            "Cluster4\n",
            "--------\n",
            "\bblm,\n",
            "\bantifa,\n",
            "\bblack,\n",
            "\bpeople,\n",
            "\bwhite,\n",
            "\btrump,\n",
            "\bdon,\n",
            "\bsupport,\n",
            "\blike,\n",
            "\bjust,\n",
            "======================\n",
            "Cluster5\n",
            "--------\n",
            "\btwitter,\n",
            "\bpic,\n",
            "\bcom,\n",
            "\bfuck,\n",
            "\bblm,\n",
            "\bshit,\n",
            "\bblacklivesmatter,\n",
            "\bpeople,\n",
            "\bblack,\n",
            "\bicantbreathe,\n",
            "======================\n",
            "Cluster6\n",
            "--------\n",
            "\bicantbreathe,\n",
            "\bgeorgefloyd,\n",
            "\bblacklivesmatter,\n",
            "\bbreathe,\n",
            "\bpeople,\n",
            "\btrump,\n",
            "\bprotest,\n",
            "\bblacklivesmattter,\n",
            "\bblack,\n",
            "\bamp,\n",
            "======================\n",
            "Cluster7\n",
            "--------\n",
            "\bpolice,\n",
            "\bbrutality,\n",
            "\bicantbreathe,\n",
            "\bblacklivesmatter,\n",
            "\bjusticeforgeorgefloyd,\n",
            "\bgeorgefloyd,\n",
            "\bpeople,\n",
            "\bofficers,\n",
            "\bamp,\n",
            "\bblm,\n",
            "======================\n",
            "Cluster8\n",
            "--------\n",
            "\bjustice,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\btaylor,\n",
            "\bbreonna,\n",
            "\bpeace,\n",
            "\bdemand,\n",
            "\bblack,\n",
            "\bpolice,\n",
            "\barbery,\n",
            "======================\n",
            "Cluster9\n",
            "--------\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\bjustice,\n",
            "\bpolice,\n",
            "\bjusticeforgeorgefloyd,\n",
            "\bblacklivesmatter,\n",
            "\bdeath,\n",
            "\bpeople,\n",
            "\bdemand,\n",
            "\bicantbreathe,\n",
            "======================\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "k57Ufy4Rw34H",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f0c368ed-d72e-4097-cacc-9568dea6ea77"
      },
      "source": [
        "X = vectorizer.transform(blm_texts)\n",
        "predicted = model.predict(X)\n",
        "predicted=list(predicted)\n",
        "predicted[:10]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[4, 4, 4, 4, 4, 0, 4, 4, 4, 4]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 42
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-68himkYJKEy"
      },
      "source": [
        "cluster_percentages=[predicted.count(i) for i in list(set(predicted))]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZfBIju8QJfti",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "78f69f96-d902-4ec4-df73-e732cca0e10a"
      },
      "source": [
        "sizes = cluster_percentages\n",
        "labels = [\"Cluster \"+str(i) for i in list(set(predicted))]\n",
        "fig1, ax1 = plt.subplots(figsize=(5, 5))\n",
        "fig1.subplots_adjust(0.3, 0, 1, 1)\n",
        "theme = plt.get_cmap('bwr')\n",
        "ax1.set_prop_cycle(\"color\", [theme(1. * i / len(sizes))\n",
        "                             for i in range(len(sizes))])\n",
        "_, _ = ax1.pie(sizes, startangle=90, radius=1800)\n",
        "ax1.axis('equal')\n",
        "total = sum(sizes)\n",
        "plt.legend(\n",
        "    loc='upper left',\n",
        "    labels=['%s, %1.1f%%' % (\n",
        "        l, (float(s) / total) * 100)\n",
        "            for l, s in zip(labels, sizes)],\n",
        "    prop={'size': 11},\n",
        "    bbox_to_anchor=(0.0, 1),\n",
        "    bbox_transform=fig1.transFigure\n",
        ")\n",
        " \n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mxygfzxJyJki"
      },
      "source": [
        "### **Cluster Identification on BLM News Tweets**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dBmBvgnoCk6P"
      },
      "source": [
        "#### **Cluster Identification for All news network**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W0wIRUbVyJkm",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "outputId": "01848662-7b7c-4d34-c963-1ff7268b5e54"
      },
      "source": [
        "blm_news_new=pd.DataFrame()\n",
        "blm_news_new[\"Name\"]=blm_news['Name']\n",
        "blm_news_new[\"Text\"]=blm_news['Text']\n",
        "blm_news_new[:5]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>BBCNews</td>\n",
              "      <td>Reni Eddo-Lodge breaks book chart record amid ...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>They are planning BLM style protests in Westmi...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>Many young activists ignored BLM UK’s advice n...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>“The general public has become a bit exhausted...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Reuters</td>\n",
              "      <td>Motor racing: McLaren's Norris loses followers...</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "           Name                                               Text\n",
              "0       BBCNews  Reni Eddo-Lodge breaks book chart record amid ...\n",
              "1  TheEconomist  They are planning BLM style protests in Westmi...\n",
              "2  TheEconomist  Many young activists ignored BLM UK’s advice n...\n",
              "3  TheEconomist  “The general public has become a bit exhausted...\n",
              "4       Reuters  Motor racing: McLaren's Norris loses followers..."
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "meEWycojyJkp"
      },
      "source": [
        "vectorizer = TfidfVectorizer(stop_words='english')\n",
        "X = vectorizer.fit_transform(list(blm_news_new[\"Text\"]))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "D7avvO31yJks",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 67
        },
        "outputId": "3b0cbde1-81b7-40e1-f18b-26d8b7950c67"
      },
      "source": [
        "true_k = 10\n",
        "model = KMeans(n_clusters=true_k, init='k-means++', max_iter=100, n_init=1)\n",
        "model.fit(X)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=100,\n",
              "       n_clusters=10, n_init=1, n_jobs=None, precompute_distances='auto',\n",
              "       random_state=None, tol=0.0001, verbose=0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1XoU5c5OyJku"
      },
      "source": [
        "order_centroids = model.cluster_centers_.argsort()[:, ::-1]\n",
        "terms = vectorizer.get_feature_names()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PqzFL3dlyJkw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 521
        },
        "outputId": "8d1a312a-4018-4a08-b683-d251ce99a0ba"
      },
      "source": [
        "for i in range(true_k):\n",
        " print('Cluster' + str(i))\n",
        " print(\"--------\")\n",
        " for ind in order_centroids[i, :10]:\n",
        "   print('\\b'+ str(terms[ind])   +',') \n",
        " print(\"======================\")"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Cluster0\n",
            "--------\n",
            "\bprotests,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\btrump,\n",
            "\bdeath,\n",
            "\bblm,\n",
            "\bpresident,\n",
            "\bamid,\n",
            "\bviolence,\n",
            "\bfollowing,\n",
            "======================\n",
            "Cluster1\n",
            "--------\n",
            "\bofficer,\n",
            "\bmurder,\n",
            "\bchauvin,\n",
            "\bpolice,\n",
            "\bderek,\n",
            "\bminneapolis,\n",
            "\bneck,\n",
            "\bcharged,\n",
            "\bfloyd,\n",
            "\bknee,\n",
            "======================\n",
            "Cluster2\n",
            "--------\n",
            "\bofficers,\n",
            "\bpolice,\n",
            "\binvolved,\n",
            "\bdeath,\n",
            "\bminneapolis,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\bgas,\n",
            "\btear,\n",
            "\bcharged,\n",
            "======================\n",
            "Cluster3\n",
            "--------\n",
            "\blives,\n",
            "\bmatter,\n",
            "\bblack,\n",
            "\bprotest,\n",
            "\bprotests,\n",
            "\bprotesters,\n",
            "\bpolice,\n",
            "\blondon,\n",
            "\bpeople,\n",
            "\bsupport,\n",
            "======================\n",
            "Cluster4\n",
            "--------\n",
            "\blive,\n",
            "\bhouston,\n",
            "\bfloyd,\n",
            "\bfuneral,\n",
            "\bgeorge,\n",
            "\bmemorial,\n",
            "\bservice,\n",
            "\bupdates,\n",
            "\bmsnbc,\n",
            "\bal,\n",
            "======================\n",
            "Cluster5\n",
            "--------\n",
            "\bmovement,\n",
            "\blives,\n",
            "\bmatter,\n",
            "\bblack,\n",
            "\bsupport,\n",
            "\bplayers,\n",
            "\bleague,\n",
            "\bbts,\n",
            "\bsoccer,\n",
            "\btook,\n",
            "======================\n",
            "Cluster6\n",
            "--------\n",
            "\byork,\n",
            "\bnew,\n",
            "\bcity,\n",
            "\bpolice,\n",
            "\btower,\n",
            "\bmural,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\bdeath,\n",
            "\bmatter,\n",
            "======================\n",
            "Cluster7\n",
            "--------\n",
            "\bfloyd,\n",
            "\bdeath,\n",
            "\bgeorge,\n",
            "\bpeople,\n",
            "\bpolice,\n",
            "\bbrother,\n",
            "\bsays,\n",
            "\bracism,\n",
            "\bminneapolis,\n",
            "\bprotest,\n",
            "======================\n",
            "Cluster8\n",
            "--------\n",
            "\bkilling,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\bpolice,\n",
            "\bprotests,\n",
            "\bcities,\n",
            "\bminneapolis,\n",
            "\bdeath,\n",
            "\bbrutality,\n",
            "\bcurfews,\n",
            "======================\n",
            "Cluster9\n",
            "--------\n",
            "\bvideo,\n",
            "\bfloyd,\n",
            "\bgeorge,\n",
            "\bracial,\n",
            "\bkilling,\n",
            "\blife,\n",
            "\bdeath,\n",
            "\bpolice,\n",
            "\bprotests,\n",
            "\binjustice,\n",
            "======================\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cQE_IPS8yJky",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "147e2e00-30a7-4a59-9653-3470b5a110d6"
      },
      "source": [
        "X = vectorizer.transform(list(blm_news_new[\"Text\"]))\n",
        "predicted = model.predict(X)\n",
        "predicted=list(predicted)\n",
        "predicted[:10]\n",
        "len(predicted)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2256"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ULFPcY1UyJk0"
      },
      "source": [
        "cluster_percentages=[predicted.count(i) for i in list(set(predicted))]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AQnA25oOyJk2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 391
        },
        "outputId": "19833a36-5479-48df-abda-ad9dc35753cd"
      },
      "source": [
        "sizes = cluster_percentages\n",
        "labels = [\"Cluster \"+str(i) for i in list(set(predicted))]\n",
        "fig1, ax1 = plt.subplots(figsize=(5, 5))\n",
        "fig1.subplots_adjust(0.3, 0, 1, 1)\n",
        "theme = plt.get_cmap('bwr')\n",
        "ax1.set_prop_cycle(\"color\", [theme(1. * i / len(sizes))\n",
        "                             for i in range(len(sizes))])\n",
        "_, _ = ax1.pie(sizes, startangle=90, radius=1800)\n",
        "ax1.axis('equal')\n",
        "total = sum(sizes)\n",
        "plt.legend(\n",
        "    loc='upper left',\n",
        "    labels=['%s, %1.1f%%' % (\n",
        "        l, (float(s) / total) * 100)\n",
        "            for l, s in zip(labels, sizes)],\n",
        "    prop={'size': 11},\n",
        "    bbox_to_anchor=(0.0, 1),\n",
        "    bbox_transform=fig1.transFigure\n",
        ")\n",
        " \n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5WXds3xHCWzj"
      },
      "source": [
        "#### **Cluster Identification for individual news network**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jxiTVQNRy5Dr",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 252
        },
        "outputId": "30be9c98-0a53-4735-84d5-842c8f7f0c55"
      },
      "source": [
        "list(blm_news_new.Name.unique())"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "['BBCNews',\n",
              " 'TheEconomist',\n",
              " 'Reuters',\n",
              " 'guardian',\n",
              " 'realDailyWire',\n",
              " 'CNN',\n",
              " 'MSNBC',\n",
              " 'BlazeTV',\n",
              " 'freespeechtv',\n",
              " 'nytimes',\n",
              " 'BBCWorld',\n",
              " 'WSJ',\n",
              " 'FinancialTimes',\n",
              " 'BBCBreaking']"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 53
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xvu24tbbDCy4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101
        },
        "outputId": "c37bbaaa-bd9c-4c26-bc3c-0b513e9ad0ca"
      },
      "source": [
        "print(blm_news_new[blm_news_new['Name']=='BBCNews'].index.values)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[  0 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140\n",
            " 141 142 143 144 145 146 147 148 149 150 151 152 153 154 791 792 793 794\n",
            " 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812\n",
            " 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830\n",
            " 831 832 833]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zvoXpBWIDqo5"
      },
      "source": [
        "bbc_pred = [predicted[i] for i in blm_news_new[blm_news_new['Name']=='BBCNews'].index.values] \n",
        "bbc_pred=list(np.unique(bbc_pred, return_counts=True))\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xB57R4fnE-EB",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "5aead29d-4441-461e-a6d9-d9c4f00b2ac8"
      },
      "source": [
        "for i in list(blm_news_new.Name.unique()):\n",
        "  news_pred = [predicted[j] for j in blm_news_new[blm_news_new['Name']==i].index.values] \n",
        "  news_pred=list(np.unique(news_pred, return_counts=True))\n",
        "  sizes = list(news_pred[1])\n",
        "  labels = [\"Cluster \"+str(k) for k in list(news_pred[0])]\n",
        "  fig1, ax1 = plt.subplots(figsize=(5, 5))\n",
        "  fig1.subplots_adjust(0.3, 0, 1, 1)\n",
        "  theme = plt.get_cmap('bwr')\n",
        "  ax1.set_prop_cycle(\"color\", [theme(1. * l / len(sizes))\n",
        "                              for l in range(len(sizes))])\n",
        "  _, _ = ax1.pie(sizes, startangle=90, radius=1800)\n",
        "  ax1.axis('equal')\n",
        "  total = sum(sizes)\n",
        "  plt.legend(\n",
        "      loc='upper left',\n",
        "      labels=['%s, %1.1f%%' % (\n",
        "          m, (float(n) / total) * 100)\n",
        "              for m, n in zip(labels, sizes)],\n",
        "      prop={'size': 11},\n",
        "      bbox_to_anchor=(0.0, 1),\n",
        "      bbox_transform=fig1.transFigure\n",
        "  )\n",
        "  plt.title(i +\" Number of tweets : \" + str(len(blm_news_new[blm_news_new['Name']==i].index.values)))\n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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eOXLE9etf/3rXmDFjDoTicYlIcDlmF8qwYcMKcnJyYit+qFedqKgoq6ys7Oh+8cOHDx99nPfdd9+umTNnru/YsWPxzTff3GPKlClJVY1hWRbjx4/fs3bt2tVr165dvW7dutW5ubkrype3atWq2ncCKSkpR7Zu3Xp0i3vDhg0xXbp0qddRjLGxsda11177w+uvv96+fMyMjIyCIUOGHAa4/vrrf1i+fPlP9tl36dKlFCA3N/foP+ft27fH9uzZ85j179y50/388893ePDBB3fceeedyV6vd8+rr7666ZZbbqnuTNwiEmYcE+CDBg0qOuuss/InTZqUkpeX5wL/fuLHH3+8w759+455HGlpaUVr165tUVhYaA4fPmxmzJiRWL5s+fLlsRkZGUW33377nhtvvHHnkiVLWgG0bt26dN++fUf/OVx88cX5b7zxRvsNGzZEl6/riy++qNMslUsuuWTf8uXLW61YsSIW4G9/+1vHiy666Og+5tTU1IxNmzZFV77f+vXro8sfS2lpKa+//npiWlpaIcDYsWP35ebmxuTk5EQDvPPOO2379+9fWNX6R48enffEE090BPjwww/jDx8+bEaMGFFQ8TZTpkzp9sADD2yLi4uzCgoKXMYYy+12U1hY6JjXhEikc9QulDfeeCP79ttvTxoyZEh6dHS0VVZWxplnnrkvLi7umCNFzzzzzEMjRozYn5aWltGpU6fijIyMgp07d0YD/PWvf+28YMGC1tHR0VZMTEzZ1KlTNwNcc801P/zyl79MnTlzZrubbrpp50033fTDPffcs+3CCy/sU1paaoqLi82YMWPyTj311IKqaqsoMTGx7Kmnnsq58MIL+5aVlZGRkVHwxz/+cSfA9u3bo/Lz86M6duz4kw8gV65cGXfnnXd2tywLy7JMenp6wbPPPrsFoE2bNmWPPfbY5nPOOaevZVkkJiaWvPDCC5sAsrOzo88999y+a9euXQ3wxBNPbL388st7paSktI+NjS37z3/+s8nt/vGNy+zZs+PLysrM+eeffxDgrrvuyv3Vr37Vs7i42Nx22225Dfz1iEgTM5ZV/VHyy5Yty87MzNzThPU0ey+88ELCqlWrWjzyyCOOCsply5Z1yMzM7Gl3HSLyI0dtgTcHkyZNygeqnL8tIlIf2t8pIuJQCnAREYdSgIuIOJQCXETEoRTgIiIOpQAXEXGoek8j9Hrr1ru7vnw+ltR2m6KiInPnnXd2nTFjRruYmJgyt9vNiBEj9j/zzDPbfD5fu/fff7/t7NmzNzZk/dOnT0/o1q3bkVGjRtV6oE5tcnJyos8///w+JSUlpqysjN69ex9+8cUXc2prxPXxxx+3uuOOO7qX91w566yz9k2bNm1reUdCgIKCAjN48OD0uLi4spUrV66papxPP/201Y033phSVFTkSk5OLnr99dc3JScnl+zevdt9wQUX9M7Ly4s68cQTD7700kubAZYtWxb729/+tvucOXPWN/axi0jTcdQWuFP6gdfU17smCQkJpS+++OKmDRs2rFq5cuXqb775ptW0adOOaUN78803Jx9//PEHqxujtLSUa665JnXq1Kmbs7OzVw4fPvzgb3/7224A//znP9udeuqpB7KyslavX78+bvHixXEAU6ZM6a6OhCLO45gAd1I/8Jr6etfkhBNOOFzeQ7xFixbWwIEDC3JycmLLl8+ePTt+w4YNcRMnTqy2d/f8+fNbxsbGWuecc85BgN/97ne7Z82alRh4vqyCggJXaWkpR44cccXGxlpPP/10+xNPPPHQwIEDQ9JZUURCxzFHYjqpH3i5qvp619W2bduiPvjgg8R33nnne4D9+/e7br311u7/+9//1q9atSquuvtt2rQpJjk5+WhNXbt2LbEsi507d7q9Xu/ecePG9UxPT08fPXp0fqdOnUpeeOGFDvPnz69XS1oRCQ+OCfBgacp+4FX19a5LjXl5ea7Ro0f3ueGGG3YOHz68EODGG2/sdv311+9KTU0trinAa9KmTZuyip8RjBs3LuWBBx7YNnv27Php06Z1iomJKXvssce29evXr16tb0XEHo7ZheKkfuAVVe7rXZsDBw64zj777L6jRo3a/8ADDxwN/EWLFsU/+uijScnJyYOuvvrqXllZWS369euXXvn+qampR7Zt23Z0t0tubm6UMYbK57v84IMP4gHOP//8g7fcckuPV199ddPkyZP3/P73v6/y+RCR8OOYAHdSP/Ca+npD9f3ACwoKzNlnn91n6NChB5988sntFZdlZWWt3rZt24pt27ateP755zf269evMCsra3XlMUaMGFFw+PBh8+GHH8YDPPHEEx1Hjx6dV/E2hw8fNvfee2/y1KlTtwZ+drndblwul3Xo0CGdmV7EIeq9C6Uu0/1CxSn9wGvq611TP/Cnnnqqw6JFi1rn5eVF9e/fvy3ARRddtPfhhx/eUdP6Xn755bbvvvtuwmuvvZbjdrv5z3/+s+nXv/710WmEr7322qaKt7/vvvu6TJo0aU/52XtuvfXW3OOOO25AdHS09c9//jO7tscnIuFB/cCbmPqBi0iwRNyHmHZTP3ARCRbH7AMXEZFjKcBFRBxKAS4i4lAKcBERh1KAi4g4VL1noSxZEpp2sh5P82knu27dupiMjIxBffr0OXrwzueff76ufN51dUpLS7nuuuu6z5s3r43b7bY6d+5cPH369OyePXsWV77t8uXLYydOnJian58flZCQUDJ9+vRNgwYNKioqKjLnn39+ry1btsSmpKQUzZo1a0N0dDS5ublRF154Ye/58+dnVZ43LyLO5KgtcKe0kwVo3bp1Sflh+GvXrl1dW3gDvPLKKwnffvttq7Vr167KyspanZaWVnjPPfdU2YZ28uTJKZMnT96VnZ29cvLkybuuv/76FIC33367TWJiYum6detWt23btvTNN99sCzBlypRuDz744DaFt0jz4ZgAd1I72YYyxnDkyBFXecvXgwcPurt16/aTxlLbtm2LWrVqVcvJkyfvBZg8efLeVatWtdy+fXtUTEyMVVhY6AIoLCx0xcbGWrNmzYp3uVzWueeeW20fcRFxHsccyOO0drIHDx50Dxw4cIBlWfz85z/f+8ADD+ysrSf4+PHj8+fMmdO6a9eumXFxcWW9evU6/Pzzz2+ufLuNGzfGdO7cuTgqyv/ri4qKolOnTsUbN26Mufjii/e/8cYbiWlpaekej+fQueeee+C0007rN2vWLJ1tR6SZcUyAB0tTtJPt0aNHcXZ29vLk5OSSbdu2RY0ePbpPYmJi6S233FJjW4Ivv/yyZVZWVtyWLVuWJyQklF577bXdJ0+e3P3FF1/8SYhXx+128+qrr+aU/3zbbbd1vfrqq/esX78+5uqrr+4KcN999+WefPLJhdWPIiJO4JhdKE5qJ9uiRQsrOTm5BCA5Oblk3LhxexcsWBBfW93/+te/OowcOXJ/+/btS91uN5MmTdq7YMGC1pVv16tXryM7d+6MLt/3XlJSwq5du6J79ep1zO6WFStWxC5evLjVTTfd9MOUKVN6PPnkk1ufeOKJrVOmTOlRWy0iEv4cE+BOaie7bdu2qKKiIgP+/t6zZs1qm5mZWQCwadOm6NTU1Iyq7peamlr0+eeftym/73vvvde2YhvacsnJySUDBgwofPbZZ9sBPPvss+3S09MLkpKSjvk0teK5LgsLC13GGFwuFwUFBY75vYtI9Ry1C8Up7WQ/+eST+AcffDDZ5XJZJSUl5mc/+9m+u+66axfA5s2bo8v3XVd255137lq9enWLAQMGpEdFRVlJSUlHnnvuuRyAefPmtbz33nuT5s6dux7A5/PlTJo0qecjjzyS1KZNm5Lp06cf0zL273//e7vjjz/+0ODBg4sA7r333u2jR4/uC/DQQw9tredTLyJhSO1km9j999/fuVOnTsU33nhjtScmDkdqJysSfhy1Bd4c3H///XU6L6aISG20L1RExKEU4CIiDqUAFxFxKAW4iIhDKcBFRBxKAS4i4lD1n0a4ZElI+oHj8TSbfuDPPfdc4sMPP3y0DezOnTujTzjhhIMfffTRhpruV1hYaM4+++w+K1eubAmQl5e3rHzZxx9/3OqOO+7oXt6P5ayzzto3bdq0rVU1yFKvcJHI4KgtcKf0A7/mmmvyKvUCLx4/fnytB+5ERUVZt956645Zs2ZlVV6WkJBQ+uKLL27asGHDqpUrV67+5ptvWk2bNq1dVeOoV7hIZHBMgDu1H/j8+fNb7tixI3r8+PH5tT3G6OhoLr744gPt27f/SaOsE0444fCgQYOKwN8sa+DAgQU5OTmxlW+nXuEikcMxR2I6rR94uWeffbbDJZdcsjeYW7fbtm2L+uCDDxLfeeed7ysvU69wkcjhmAAPlqboB16usLDQzJw5s91HH320Llj15+XluUaPHt3nhhtu2Dl8+PB69fRWr3CR5sUxAV6xH3htW+G19QMfO3bsvvfff7/1zTff3GPUqFH7pk6dur3yGOX9wJ988smfLIOa+4GXmz59ekL37t2Lhg0bFpRAPHDggOvss8/uO2rUqP0PPPBAlT1VKvYKj4qKqrVX+F//+tdcj8eT9sorr2yyLIsJEyakLl68OGj/cEQkdByzD9xJ/cDLvfDCCx2uuuqqn3RzTE1Nzdi0aVN0fcYqKCgwZ599dp+hQ4cerO6fCqhXuEgkqf8WeB2m+4WKU/qBA6xfvz7622+/jZ85c+Yx0xq3b98elZ+fH9WxY8efnsoeGDhw4ICdO3dG79+/P6pz586DTz/99H2vvfZazlNPPdVh0aJFrfPy8qL69+/fFuCiiy7a+/DDD+9Qr3CRyKR+4E3shRdeSFi1alWLRx55JNfuWupD/cCDyxiigVSgB9ABaFfh0r7C963xb2i5AXfOFb//vkd8Xm+gFCgJXPYBewKX3RW+L/95F7ANn0/TRJsZx+wDby4mTZqUD9Q6pVCczxgM0AfoF/jat8LXHjTg7y/WXbI/cP/6KsTrXQesAdYGvq4BsvD5jtR4TwlbCnCRIDGGTsCwCpcTgLa2FvWjFsBxgUtFpXi9m4AVwJfAF8C3+HxV7uKT8KIAF2kgY+gHnAOcApwE9LS1oIZx439X0Ae4JHDdQbzehcA8/IG+EJ/vsE31SQ0U4CJ1ZAyxwOnA6MClj60FhU48cFbgAnAEr/cbYDbwFj7fatsqk2MowEVqYAxdgIuA84EzgAb1y3G4GPzvMk4B/oTXuxZ4C3gTn2+prZVFOAW4SCXG0AK4GJiEfyvUXfM9Ik5/4A/AH/B6NwBv4w/zRfaWFXnqH+Beb2jayfp8zaadLMDvf//7Lm+88Ub7qKgoKz4+vtTn8+UMHTq0xv2ItbWMfeyxxzo89dRTXSzLYtSoUfufe+65zW73T7NF7WTrLzBj5DRgInAp0MbeihyjN3A7cDtebzbwLPAvfL7ddhYVKRx11J1T2skuWLCgxYsvvtjxu+++W7Nu3brVl1xySd6tt97arbZxamoZu3bt2phHHnkkaeHChWuzs7NXbty4MXbatGntqxpH7WTrzhi6GMP9wAbgc+BaFN4N1RP4P2ArXu/LeL3Dba6n2XNMgDupnawxhpKSEnPw4EEXwL59+9xJSUnFtT3GmlrGvvzyy4nnnHNOflJSUonb7eaXv/zlnjfffDOx8hhqJ1s3xpBhDP8BcoA/4j+oRoIjBrgCmI/XuxSv14vXG293Uc2RY/aBO6md7Mknn1z4q1/9amfv3r0HtW7durRNmzal8+fPX1ufOiu3jN28eXNMSkrK0XX17NmzaPv27TGV76d2sjUzhrOA2/BP/5PQywT+ATyC1/sC8Ag+n9o1BIljAjxYmqKdbFZWVsysWbMS1q5duzIlJaX43nvv7Tx+/PjUOXPm1CkoG9MytiaR2k7WGKKA8cCt+ANFml4b4DfAZLzefwL/h8/nqHYS4cgxu1AqtpOt7ba1tZOdOXPm+o4dOxbffPPNPaZMmZJU1Rjl7WTLT4u2bt261bm5uSvKl9fUTvall15KHDBgQGFKSkoxwOTJk39YuHBh67o8zupaxvbo0eNIxTPwZGdnxyYlJf3kEOiK7WSBWtvJ3nTTTT9MmTKlx5NPPrn1iSee2DplypQedanTKcj/VbsAAB50SURBVIzhUmAV8CIK73AQC9wEbMTrfRyvt5PdBTmZYwLcSe1ke/XqVbRo0aL4/fv3uwDefvvttn379j26VVtdO9maWsaOHz8+78MPP0zYvn17VGlpKf/+9787jB07Nq/yGGon62cMI41hIfAG/l4kEl7igN8Bm/B6H8Hr7WB3QU7kqF0oTmknO3HixPyFCxfGZ2ZmDoiJibHatGlT+txzz2VDze1ka2oZm56efuS2227bPmzYsP4Ap5122v4bbrjhBwC1k/2RMQwG/gKcZ3ctUict8U9DvAGv90ngz/h8QZnKGwnUTraJqZ1saBhDMvBn4Eoc9M6yvnZMuO27zi0ODLG7jhDKAabg871rdyFO4Kgt8OZA7WSDyxjc+D8c+xP+3tnibCnATLzed/EHeU5td4hkzXZLRZo/YxgKLAKeQOHd3IwBVuP1/h6vt16nH4wkCnBxHGNoYQx/BRYCx9tdj4RMS/y7xZbi9Y60u5hwVFuAl1WcjieRKfAaKKv1hk3AGEYCy/HP6VaTqciQDnyO1+vD643EbpDVqi3AV+7evbutQjxylZWVmd27d7cFVtpZhzFEGcPDwByabx9uqdlk4Du83hPsLiRc1PghZklJyXU7duz4144dOwai3S2RqgxYWVJScp1dBRhDCvBf4GS7apCw0RdYgNd7P/4ph2HxztAuNU4jFLGbMVwC/Bv4SeOuSBQB0wjr4zPgSny+HXYXYhdtVUtYMoZYY3ga/8kCFN5SlTPwf8B5Vq23bKYU4BJ2jKEP8BX+nhkiNekMfIjX+0e7C7GDAlzCijGcBnwNaDeB1JULuB+v9xW83thab92MKMAlbBjDBOBjoJ3dtYgjjQc+jaTGWApwCQvG8Cf8LV9/cpIKkXoYDizE602zu5CmoAAXWwU+rHwFuNfuWqTZ6A18hdc7yu5CQk0BLrYxhg7Ap/jf+ooEUyL+DzevtruQUFKAiy2MoQswD/9bXpFQiAaew+u92+5CQkUBLk3OGJKAz4EBNpcikeEhvN4/2F1EKCjApUkZQzdgLhARHzJJ2HiwOYa4AlyajDF0x7/lrWZUYocHm9vuFAW4NIlAQ6q5+GcIiNjloeYU4gpwCTlj6IE/vFPtrkWEZhTiCnAJKWNIAD7Af65DkXDxEF7v7XYX0VgKcAkZY4gFZuA/o4pIuHkYr3ec3UU0hgJcQsIYDPA8oHMZSrgywAt4vY49UYgCXELlEeByu4sQqUUcMAOv15GfzyjAJeiM4TfAbXbXIVJHnYBZeL1t7S6kvhTgElTGcCHwpN11iNTTAOBNvN4azxMcbhTgEjTG0AuYjl5X4kxnAdPsLqI+9IcmQWEMccCbgOPehopUcB1e72/sLqKuFOASLFPRadCkeXgUr/c4u4uoCwW4NFrgVGjX212HSJDEAv/F621pdyG1UYBLoxjDQOAfdtchEmT98b+rDGsKcGkwY4gH3gDCfktFpAF+Ge5HairApTEexb+lItJcPYvX29PuIqqjAJcGMYZRgNfuOkRCrC3wSrjOD1eAS70ZQ0vgX/h7SYg0dycDYXk2HwW4NMT/Ab3sLkKkCd2N19vP7iIqU4BLvRjDKYBjDnQQCZIY4O92F1GZAlzqLHC05X/Q60Yi05l4vePtLqIi/SFKfdyHziYvke3xcOpaqACXOjGGVOAWu+sQsVkX4CG7iyinAJe6+gv+Q4xFIt0NeL1D7S4CFOBSB8ZwMhDWR6SJNCEX8A+8Xtvz0/YCxBEet7sAkTDjAa6yuwgFuNTIGC4HTrK7DpEwdJ/dR2gqwKVaxhAL/NnuOkTCVG/gajsLUIBLTX4D9LS7CJEwdg9eb4xdK1eAS5UC/U7usLsOkTCXAvzSrpUrwKU6XqCj3UWIOMDdeL22TLFVgMtPBPZ932Z3HSIO0Q2bWisrwKUqk4Aku4sQcZC78HpbNPVKFeByDGNwAbfaXYeIw3QBJjT1ShXgUtkYIOz6Hos4wI1NvUIFuFSmfd8iDZOJ13tKU65QAS5HGcNgYLjddYg4WJNuhSvApSLb5rOKNBOX4vU22fRbBbgAR6cO2t6cR8ThYoHrmmplCnApdzHQzu4iRJoBb1O1mlWASzntPhEJjhTg/KZYkQJcMIYewJl21yHSjDTJbhQFuABcg14LIsF0TlOc/Fh/tAIw0e4CRJqZWOCiUK9EAR7hAnO/e9ldh0gz9ItQr0ABLmPsLkCkGdpN584tWLIkIZQrsfV8bhIWQv42TyQiGJNLly5ZDB6cQI8egzBmFP7ZKC+HapUK8AhmDMn4z64tIg1hzBaSkzeSmdmBpKR0jOla6RZjUIBLiFwIGLuLEHEUl2sT3btvJjOzM1269Ae613Dr81iyJAaP50goSlGARzbtPhGpC7c7i5SU7Rx3XDc6dOgDpNbxnq2BUcCHoShLAR6hjKE1cIbddYiErejo1aSm7iYzM4XExH40vE/+hSjAJchOA2LsLkIkjFjExKygT588Bg/uTZs26UEad0SQxvkJBXjkUt9vESglLm45ffseYPDgNFq1GhyCdQxkyZJ4PJ6DwR5YAR65FOASqYpp2XIZaWmFZGQMoGXLISFenxs4Efgs2AMrwCOQMUQDJ9hdh0gTOkx8/HIGDCgmPX0gsbFDm3j9J6MAlyDxAC3sLkIkxA7Rps0KMjLKSEsbTEzMiTbWcnIoBlWARybtPpHmaj8JCSsYONBNv36ZREWdZHdBASGpQwEemRTg0pzk0b79KgYNiqV370zc7nB8fbdnyZJ+eDxZwRxUAR6ZTrG7AJFG2k2nTmsYPDienj0H43KFbKpeEJ0CKMCl4YyhM9DZ7jpE6s3fLOp7MjPb0r37IIw5ze6S6ulk4PlgDqgAjzwD7C5ApM5crs0kJW0kM7NjNc2inCToH2QqwCOPAlzCm8u1MdAsqitduqQBPewuKUj6s2SJG4+nNFgDKsAjT3+7CxD5iagof7OozMzudOjQm+Z5lqhoIBnYHKwBFeCRR1vgEh78zaJ2kZmZ2shmUU6SigJcGkFb4GIXi5iYlfTps5fBg/sEmkUFq2GUU/QE5gZrMAV4BDGGeGpuPi8SbP5mUf36HWDQoDRatRpkd0E26xnMwRTgkSUS3qKK/fzNovr3LyQjI50WLULdLMpJ6noiiDpRgEeWZLsLkGbrMPHxyxgwoMSmZlFO0TOYgynAI0snuwuQZuUQbdosJyMD0tIGERMzzO6CHEBb4NJgCnBprH0kJq5k4MAo+vYdTFRUSLrsNWPJLFkShcdTEozBFOCRRYfQS0PsDTSLigvjZlFO4cZ/YNLGYAymAI8s2gKXujFmFx07rq3QLOpUu0tqRrqjAJcGUIBL9YzZHmgWleDQZlFOER+sgRTgkUUBLsdyuXJITt5EZmZHunZNx5gku0uKAHHBGkgBHlk62l2AhAG3ewPdu28hM7MrnTunASl2lxRhFODSIEF74YjDREWtIyUlt0KzqN52lxTBFODSIPp9R5Lo6FX06rWbzMxUEhLSgDS7SxJAAS4NpN9381YWaBaVF2gWlWF3QVKlFsEaSH/QkUW/7+anlLi4ZfTrd5BBg/rTqtVguwuSWmkLXBpEv+/m4QgtWy6v0CzqeLsLknpRgEv9GKPftdPFxpK/qf95Gzqd3qKzUbMoJ1OAS73pd+1g7dqx8ZJLcP9355lnxEQV7+7JlrmJ5A000N7u2qTeghbgrmANJGFPv2uH6tOHb8aOpb3bTcrhw7Sb/Ul04Uar16lLOa7FLjrOs2C73TVKvZhgDaQ/6shRCFh2FyH1M2IEc0eNYogxtC2/LieH43Jy+KIMd8st9DjtO4Z03EbSl2WYDXbWKnV2KFgDKcAjhGVhAQftrkPqxuXiyM9/zvz0dEYag7vy8o8/ZnhRESsALFzRO+g6/DuG9Mqhx9eluFY1fcVSD0H7O1SAR5b9dhcgtWvRgt0TJrC2QwdGVHcbyyLq7bdJtCz2/XitMXvoOGwpQzI20GtpMVFLmqJeqbcDwRpIAR5ZFOBhrmNHsq68kqLYWGqdz33gAN2++orVVS3LJ/G45WR61tFvzWFiv7KgLPjVSgNpC1waRAEexvr35+uLLybZ5aJbXe+zciUn797N/OqWH6T1gFUMPHk16TmHaDnfgiPBqVYaQVvg0iAK8DA1ahRzTz2VE42hVX3v+957HF9aWvMJAg7TInUtA0asYNAP+2k919LnIXbaG6yBFOCRRQEeZtxuDl92GQv69mWkMQ2bXlZSQsv33qPYsiiq7bbFxHT9nn4jl5FZvJfEuRb80JB1SqPsDtZACvDIsq/2m0hTadWKHRMmsDExkVMaO9auXaStWsXXdb19KVGJm+g1UnPJbbEnWAMpwCOL/kjDRNeurB4/HmJiSA/WmAsWcNrBgyyqz300l9wWQQtwY1k6tiNSGMNkwGd3HZFu8GAWDBvG8cYE/wQbcXH8cNVVFLtcdGnYCJbVgT2LurE13k2Z2tEGXwEeT70/56iOtsAjyxa7C4hw1tlnM/ekkzglFOENcPgw7T/5hFzLaui0Qc0lD7FNwRxMDY4iS47dBUSq6GgOXnopq1q3ZmSo15WdzZDNm5mbktK4deWTeFw+icRzYE0KOfmxFA0z2uhrrLXBHEy/jMiSjfqhNLnWrdk6YQLbW7dmWFOt86OPGF5UxMpgjKW55EG1JpiDKcAjiGVRAOTaXUck6d6d5ZdfTlxUFP2acr2WRdQ775Bw7KH2jaO55EGhLXBpFM0yaCIeD1+cey79jaGDHevfv59uCxcS9MZWmkveKNoCl0bJsruA5s4YSs8/n7keD6caQ4ydtaxYwSl79lR/qH1jaC55vVkEeQtc0wgjjDH8Bphqdx3NVUwM+y67jO9btSJsTnkWFcWhSZPY5XaTGsr1GMqKO7NzUVdyu7iweodyXQ61GY8nJZgDags88mhaWIgkJJAzYQI/hFN4A5SU0Oq99zhSl0PtG0N9yWsV1N0noACPREuBUruLaG5SU/n2ssto43bTy+5aqrJrF2mrV9f9UPvG0VzyagR19wkowCNOYCZK0F9Ikeykk5h31lkMNoZEu2upyZdfctrBgyxuynWqL/kxtAUuQaEtoiAwhpKLLmLe4MGcZowzDop75x1Sy8rY2dTr1VxyAP8p8IJJAR6ZFOCNFBtL3lVXsaJzZ06zu5b6KCykw6efsq3hh9o3TgTPJS8Avgn2oArwyKQAb4T27dlw1VXsb9GCIXbX0hCbNnH8li18YWcNETiX/Es8nqC/61CAR6alQIndRThR374s/vnP6eh2E9TpYE3tww8ZfuRI8A/yqa8Imkv+WSgGVYBHIMviEPCV3XU4zWmnMff00/EYQxu7a2mswKH2rS0rPM7SFAF9yRXgElQf2V2AU7hcFI0dy/z+/RlpTPP5m9m3jx5ffx2chlfB0kznku8nRLstdSRmhDKGE6Gp5gU7V8uW7L7sMnbExjLI7lpCZexYvmzfnuF211GdBPKW9mBzaTQlHrtraaD/4fFcGIqBm83WhNTbNwTx7NjNUadOrLviCoqbc3gDvPsumaWlwT3RQDA1g7nkIdl9AgrwiBWYRvap3XWEq/R0Fl50Ed1cLpLsriXUiouJ/9//OGxZ4T0328FzyRXgEhIf2l1AODrjDOYOH84wYwjauQvD3c6dDFizxhkfbDtsLvkeYHmoBtc+8AhmDN2BzXbXES7cbgrHjmVpQgIn212LTawrr2RJuDXjqo2bkrwebF6eSN5AA+3trqeSN/F4LgvV4NoCj2CWxRZgmd11hINWrcidOJHsCA5vAPP226SUlbHL7kLqI8znkr8RysEV4PKq3QXYrWtXVo0fjys6mgF212K3wkI6fvYZWyzLeedODcO55PuBd0O5Au1CiXDGkAJsAozdtdghM5MvTzwRjzHE2V1LODnvPOZ27964s9rbz7I6sGdRN7bGuynLsKGA5/B4rg3lChTggjHMh/CdBxwi1jnnMDclhdPtLiQcuVwUT5zI9zExpNtdSzDYNJf8TDyekM1AAQW4AMZwI/A3u+toKtHRHLz0Ula3bs2JdtcSztq2JWfcONoZQ2u7awmWeA6sSSEnP5aiYSa0u5C3Ail4PCGds64AFwJnTc8FZ/S0bow2bdh66aUURkXR1+5anCAzky+HDWt+787iKNzUk+xtLSk40RCSE08/isdzRwjGPYY+xBQsiz3Ax3bXEWo9erDsF7+ghcK77pYtY/jevXxpdx3B1gRzyV8K8nhV0ha4AGAMVwAv211HqAwdyhdDhnCSMUTbXYvTREdzcOJE9rjd9LS7llAJ8lzyFXg8g4NSWC20BS7l3gJ2211EsBlD6QUXMO/44zlV4d0wxcXEz5pFoWVRbHctoRLkueRNsvUNCnAJsCyKAJ/ddQRTTAz7rrySpUlJzjrtWTjasYMBa9eywO46Qi0Ic8nLgFdCUVtVtAtFjjKGJCAbnL+lmpBA9tixWG43qXbX0oxYV13FkpYtnXWofePUey7523g8Y0NeVoACXI5hDK8A4+2uozF69WLJmWfS2xgS7K6luWnZkt1XXgnG0NHuWppaHeeSD8fjabJ3KgpwOYYxDAMW2l1HQ51yCvMyMhhuDG67a2muevfmmzPOwGNMZB69W8Nc8q/weE5pyloU4PITxvA1OOsgF5eL4jFjWNipE6faXUskGD2aud26Of1Q+8apYi75pXg8bzVlDQpw+QmnTSmMi2PvuHFsjovjOLtriRTN7VD7xojmSG4KOV+1Zf9loT7ysjIFuPyEMUQB64BedtdSmw4d+P7ii4lzuehudy2RJiGBnMsuo70xxNtdSxiY7PHwz6ZeqaYRyk9YFiXA/XbXUZt+/Vh0ySV0UXjbIz+flMWL1U8e2AK8YMeKFeBSnZeB1XYXUZ2RI/l85EiGNqdGS060dGnzPNS+nh71eOw5P6cCXKoUOOnxfXbXUZnLRdGll/JlWhqnG6PXbziYOZPBpaXk2F2HTbKBZ+1auf4ApCZvA9/aXUS5li3ZNWEC37dr1/y64zlZcTGt33+fQ835UPsa/MHjociulSvApVqB02rdY3cdAJ07s+aKKyiNjWWg3bXIT+Xmkr5uXfM/1L6SJcB/7SxAAS41siw+AHv3cWZk8NWYMaS4XHS1sw6p2bx5nFZQwBK762hCt3k89p47VNMIpVbGcBKwgKY/b6Z11lnMTU1lZKQe9ec0LVuy68orMRFwqP0sj4cL7C5CW+BSK8tiIfDvplxnVBQFv/gFC3v14nSFt3MUFNBpzhxynHhW+3ooBUJ+tp26UIBLXd0J7GmKFcXHs33CBDa3bcvJTbE+Ca716xm6fTvz7K4jhKZ5POExxVYBLnViWeylCbY6kpNZefnlREVH0z/U65LQ+eADTi4uZo3ddYTAVuBuu4sopwCX+ngemB+qwY87jvmjR9PX5aJTqNYhTaOsjJh33qGFZQX9XJN2u9Hj4YDdRZRTgEudBfZr3giUBHnosvPOY+6JJzLCGGKDPLbYJD+fnt9806wOtX/T4+E9u4uoSAEu9WJZrACeDNZ40dEcuOIKvunePbJbkzZX333H8Ly8ZnGofT7wG7uLqEzTCKXejKEl/oMYGrWfum1bNo8dy5GoKPoEpzIJR9HR7J84kXy3mx5219IIXo/HvkPmq6MtcKk3y6IAuAIa3sAnJYWl48YRr/Bu/oqLafP++xxw8KH2H0HTt4qtCwW4NIhl8R3wh4bc94QT+OLss8kwhnZBLkvCVG4uGVlZjjzUfhcw0e4jLqujXSjSYIEDbD4Czqrj7UsuuIAvu3bV/u4IZU2YwHctWnC83YXUkQWM9niYbXch1VGAS6MYQxKwHGhf0+1iY8m/7DI2tmzpmD9eCYGWLdl55ZVEGVPz6yVMPO7xcKvdRdREu1CkUSyL7cAva7pNYiKbrrqKfIW3FBTQ+fPP2Wh3HXXwLXCX3UXURgEujWZZzAT+XtWy3r355tJLaed207Npq5Jw9f33nBDmh9ofBC636yw79aFdKBIUxhADfAY/nmxh+HDmpacz3Bjc9lUm4cjlomjSJLKjo0mzu5ZKLOAyj4e37C6kLrQFLkFhWRwBLgW2uVwcueQSvsjI4DSFt1SlrIzYGTOIsSwO2V1LJQ85JbxBAS5BZFnsAC658kqWduzIqXbXI+EtL4/Ub7/lO7vrqOA9wvA8sDVRgEtQWRaLW7TgMQjPebMSXpYsYUR+fljMD18GXBGu872rowCXoPP5eJ0wOZemhL8ZM8goK2OrjSXsAC70eJzXOVEBLiHh8/F/+NvPitToyBHafvABeZYV9C6XdXEQf3hvsWHdjaYAl1CaDMyxuwgJf9u2MWj9+ibvWngYf3h/08TrDRoFuISMz0cxMAb4wu5aJPzNmcOphYVN9qFmCTDO4+HzJlpfSCjAJaR8Pg4Co1GIS+1cb79N18Dp+0KpDJgUbidnaAgFuIScQlzq6tAhusydy/oQr+Ymj4dXQryOJqEAlyYRCPHzUIhLLbKyODE3N2SH2t/h8TAtRGM3OQW4NBmfj0P4Qzyc+2BIGJg1i2ElJWQFcUgL/5b3o0Ec03YKcGlSgRAfjUJcahA41N4dOPtTY5Xg3+f9tyCMFVYU4NLkFOJSF3v30vu771jSyGGK8Denmh6MmsKNAlxsUSHE37e7Fglf33zDqfv28VUD734ION/jYUYwawonCnCxTSDELwT+anctEr7eeYf0Bhxqvws4y+Ph01DUFC7UD1zCgtfLROBZINbuWiT8dOvGivPOI72O7YmXAWM8HjaHui67aQtcwoLPx4vAKGCn3bVI+Nm6lUEbNjC/Djd9BxgeCeENCnAJIz4fXwEnQFj1iJYw8dlnnHr4MEtruMmDwFiPJ+xOEhEy2oUiYcfrpSXwAv4z/Igc1aoVuVdcQawxtKtwdSFwrcfDq3bVZRdtgUvY8fkoAMYB96MTQ0gFhw7R9Ysv+L7CVeuAkyIxvEFb4BLmvF7OA/4FJNldi4SPMWOY16ULOcANkbTLpDIFuIQ9r5dE4BngCrtrkbCw3+3mhr//vXk0pGoMBbg4htfLWGAa0NHuWsQ284CJPh85dhcSDrQPXBzD5+MtYCD+qWISWYqBu4BRCu8faQtcHMnr5SrgaSDB7lok5OYDN/l8LLO7kHCjABfH8npJxv8B57l21yIhkQvc7vPxst2FhCsFuDie18s44M9AL7trkaAoBp4E/p/PxwG7iwlnCnBpFrxeYoAbgXvhmIM8xFk+BG72+VhndyFOoACXZsXrJQG4G/gNEGdzOVJ3m4Df+XzMtLsQJ1GAS7Pk9dIDeAi4EjA2lyPV2wc8Bjzq83HY7mKcRgEuzZrXy/HAo8AZdtcix9iBfz/3NJ+P/XYX41QKcIkIXi9nAr/DfxYgbZHbZwP+f6jP+3wU2V2M0ynAJaJ4vfTFv3/8GiDe5nIiyVLgYeANn49Su4tpLhTgEpG8XtoA1+IPc00/DJ25wF98PmbbXUhzpACXiOb14gIuAG5G+8mDZTfwKvCiz8c3dhfTnCnARQK8XgYB1wE/B7rZXI7TFAAzgZeAj3w+SmyuJyIowEUq8XoxwDBgbOCSam9FYasU+Ax/aL/t83HQ5noijgJcpBaBqYhj8Z/irZ/N5ditDFiCfxfJf30+cm2uJ6IpwEXqwetlIP4gvwDIBKLsrSjkLGAV/i3tOcDnPh/59pYk5RTgIg0UOPnyicDJFS4dbC0qOL7nx8Ce4/Oxy+Z6pBoKcJEgCswzPxk4JfB1IOF74pQyIBtYC6wBluEP7K12FiV1pwAXCSGvl9ZAGtAH6FvhayrQiaYJ9yIgC39Ir+HHwM7y+ShsgvVLiCjARWzi9RINJOGfstgN6Aq0xN9FsbpLbOCrBeQHLnk1fJ8H5Orox+ZJAS4i4lDhum9ORERqoQAXEXEoBbiIiEMpwEVEHEoBLiLiUApwERGHUoCLiDiUAlxExKEU4CIiDqUAFxFxKAW4iIhDKcBFRBxKAS4i4lAKcBERh1KAi4g4lAJcRMShFOAiIg6lABcRcSgFuIiIQynARUQcSgEuIuJQCnAREYdSgIuIOJQCXETEoRTgIiIOpQAXEXEoBbiIiEMpwEVEHEoBLiLiUApwERGHUoCLiDiUAlxExKEU4CIiDqUAFxFxKAW4iIhDKcBFRBxKAS4i4lAKcBERh1KAi4g4lAJcRMShFOAiIg6lABcRcSgFuIiIQynARUQcSgEuIuJQCnAREYdSgIuIOJQCXETEoRTgIiIOpQAXEXEoBbiIiEMpwEVEHEoBLiLiUApwERGHUoCLiDiUAlxExKEU4CIiDqUAFxFxKAW4iIhDKcBFRBxKAS4i4lAKcBERh1KAi4g4lAJcRMShFOAiIg6lABcRcSgFuIiIQynARUQcSgEuIuJQCnAREYdSgIuIOJQCXETEoRTgIiIOpQAXEXGo/w8h0pQYBY9H3wAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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doK2treV/8skngRs2bLj2wgsvRCgUihu7d+++snLlymh7tZNhGMfiTAHPzMzU3HvvvY0LFiyIaWho4AHG3uZbb70VqFarb3seycnJGpVKJW1vbycdHR1k//79MvNj58+fF6enp2tWr159Y+nSpbV5eXmeAODt7a1Xq9W33hxmzpzZuHfv3oCSkhKh+VxHjhyxapbKww8/rD5//rznhQsXxADw7rvvBj300EO3xpjj4uLSr1y5IrTl+V++fFlofp56vR579uyRJScnt1vadsaMGTcPHDjgAwBVVVWCixcveowYMeK2bZctWxa5fv36KolEQtva2niEEMrn89He3s6ZfxMMM9Rxaghl7969ZatXrw4fOXJkmlAopAaDAVOmTFFLJJLb7hSdMmVKa3Z2dlNycnJ6cHCwNj09va22tlYIAG+88UbIsWPHvIVCIRWJRIZNmzZVAMDChQvrf/vb38YdOHDA/9lnn6199tln619++eWq6dOnJ+j1eqLVasmMGTMaJkyY0NZXO2UymeGdd94pnz59eqLBYEB6enrbH//4x1oAqK6uFjQ2NgqCgoJ0lvbNyMhIra2tFTY1NQlCQkKGT5o0Sf3ZZ5+V5+fnS1544YUoSikopSQtLa1t69atVwGgrKxMeP/99yeqVKpCAHjrrbeqHnvssVilUhlCCKFr166tGjlyZIf5HAcPHvQyGAzkwQcfbAGANWvW1Dz11FOxWq2WPP/88zX9++0wDONshNKe75I/d+5cWVZW1g0ntmfQ27Ztm19BQYH09ddf51ShPHfuXGBWVlasq9vBMMwvONUDHwwWLFjQCKDR1e1gGIb72HgnwzAMR7ECzjAMw1GsgDMMw3AUK+AMwzAcxQo4wzAMR7ECzjAMw1E2TyOUy63L7rZVXh7y+tpGo9GQF154IWz//v3+IpHIwOfzkZ2d3bRly5YqpVLp/9VXX/kePHiwtD/n37Fjh19kZGTn5MmT+7xRpy/t7e1k6tSpCfn5+R4A0NDQcM7afV988cXQvXv3BggEAurl5aVXKpXlo0eP7ui+3SuvvBKyffv2oIqKCvGnn356ee7cuWrzY48++mjM6dOnPf39/XW5ubklAQEBelPWeFJubu5lFhvLMIMDp3rgXMkD7y3XuzfHjh2Tbt++Pejs2bMXi4qKCh9++OGGVatWRVradsqUKc25ubmXRo8e3dL15yzzm2GGDs4UcC7lgfeW690bQgh0Oh1paWnhAYBareaHh4dbXJM0JyenzVIaIsv8ZpihgzN3YnIpD7y/7r777vannnqqdtiwYZne3t56Hx8f/dGjR1W2HINlfjPM0MGZAm4v7pwHXlxcLMrNzfVTqVT5MTEx2rVr14bMnTs37vvvv79sy3FY5jfDDA2cGULhUh54f+3cuVOWmpraHhMTowWAJUuW1J84ccK7v8djmd8MM7hxpoBzKQ+8Lz3lgcfHx2tOnjzp1dTUxAOAL774wjcxMdFi5rc1WOY3wwxuNg+hWDPdz1G4kgcO9Jzr3Vse+OOPP9544sQJr6ysrFSRSER9fHz0H3/8cRlwZ+b32rVrQ7Zu3RrS0NAgWLp0aeyKFSvoxYsX8/39/Q0Ay/xmmKGA5YE7GcsDZxjGXobcRUxXY3ngDMPYCxsLZRiG4ShWwBmGYTiKFXCGYRiOYgWcYRiGo1gBZxiG4SibZ6EoFI6Jk1UqB0+c7Lfffuv5+9//Psp86/29996rfv/99yt5vN7fLzds2BC8c+fOQPP3lZWV4jlz5tR99NFHld23XbJkSWRubq6surpadPLkyYIxY8Z0AMbX6MEHH4y/evWqOCYmRpObm1siFApRU1MjmD59+rCjR48Wd583zzAMN3GqB86VOFk/Pz/99u3br5SUlBTk5+cXnj592vP999/37+s4L7/88nXzrfvnzp27KBKJDI8//rjFBMFZs2Y1Hjp0SBUeHt7Z9edffPGFj0wm0xcVFRX6+vrqP//8c1/AeFfmhg0bqljxZpjBgzMFnEtxsmPGjOnIzMzUAIBUKqUZGRlt5eXlYlue7+7du32DgoK0EydOtPiJ4L777mtJSEi4I2pWJBJR863y7e3tPLFYTHNzc714PB69//77W+48EsMwXMWZG3m4GidbVVUl+Prrr2VffvnlJVva+cknnwQ+9thjNt8FO3PmzKa9e/fKkpOT0+Ryeev999/fPHHixKTc3FybEg0ZhnF/nCng9uLMONmGhgbetGnTEp5++una8ePHWx1KVV5eLjxx4oT3rl27yqzdx4zP52P37t3l5u+ff/75sCeeeOLG5cuXRU888UQYALzyyis1d999d79DshiGcQ+cKeBd42T76oX3FSc7a9Ys9VdffeW9fPny6MmTJ6tN+dm3McfJbty48Y7HgL7jZJubm3lTp05NnDx5ctP69etr+36Gv1AqlQE5OTnqsLCwOwKvbHHhwgXxqVOnPN94440auVyevGvXriuUUsyfPz/u1KlTRQM5NsMwrseZMXAuxcm2tbWRqVOnJowePbql+xvAlStXhHFxcem97b9r167AhQsX1ltzrt4sW7YsyrwST3t7O48QAh6Ph7a2Ns783hmG6RlneuAAd+Jk33nnncCTJ096NzQ0CFJSUnwB4KGHHrr52muvXauoqBAKBD2/7N98841nW1sbb9asWequPz98+LDH2rVrww8dOnQZAJ544omor7/+WlZfXy984IEHkv38/HSXL18uMG//3nvv+Y8aNap1+PDhGgBYu3Zt9bRp0xIB4NVXX71jWiLDMNzD4mSdbN26dSHBwcFari0wzOJkGcb9cKoHPhisW7fOpvFwhmGYnrCxUIZhGI5iBZxhGIajWAFnGIbhKFbAGYZhOIoVcIZhGI5iBZxhGIajbJ5GqFQ6Jg9coRg8eeDl5eXCBx98MEGn0xGDwYBhw4Z1bN++vbyvCID29nYyderUhPz8fA8AaGhoOGd+rKioSJSenp6ZkJBwK8Pkhx9+KAoNDb3jmOfPnxc//vjjcY2NjQI/Pz/djh07rmRmZmpYVjjDDC6c6oFzJQ88NDRUd/z48SKVSlVYXFxcGB4erl2zZk1YX8cRCAR01apV13Jzc4stPe7t7a0z54WrVKpCS8UbAJYsWRKzZMmS62VlZflLliy5vnjx4hiAZYUzzGDDmQLOpTxwsVhMvb29DYCxuLe2tvL6Wo3H/HxmzpzZHBAQ0O/I3KqqKkFBQYHHkiVLbgLAkiVLbhYUFHhUV1cLWFY4wwwunLkTk4t54CkpKWk1NTWi5OTk9oMHD9qUB25JS0sLPyMjI5VSikceeeTm+vXra7u/MZSWlopCQkK05rwVgUCA4OBgbWlpqYhlhTPM4MKZAm4vzswDV6lUhRqNhixatCjqrbfeCtqwYUO/b6OPjo7WlpWVnY+IiNBVVVUJpk2bliCTyfQrV660OquGZYUzzODCmSGUrnngfW3bVx74gQMHLgcFBWmXL18evWzZsnBLxzDngZvHm4uKigpramoumB/vKw/cTCwW00WLFtXv2bMnwJrteyKVSmlERIQOACIiInSzZ8++eezYMa/u28XHx3fW1tYKzePyOp0O169fF8bHx9+2dqY5K/zZZ5+tX7ZsWfTGjRsr33777cply5ZFD6SdDMM4D2cKOJfywC9fviw0t0mv12PPnj2y5OTkW73auLi49CtXrghtef5VVVUCjUZDAONiEbm5ub5ZWVl3zJiJiIjQpaamtm/dutUfALZu3eqflpbWFh4eftuVVpYVzjDcZ/MQijXT/RyFK3ng+fn5khdeeCGKUgpKKUlLS2vbunXrVQCorq4WNDY2CoKCgiyutpORkZFaW1srbGpqEoSEhAyfNGmS+rPPPiv/7rvvvDZs2BDB4/GoTqcjv/71r9Vr1qy5DtyZFa5UKssXLFgQ+/rrr4f7+PjoduzYcaXrOVhWOMMMDiwP3Mm2bdvmV1BQIH399ddrXN0WW7A8cPsiBFIAEQAiu/03AkAYACmMHSyh+b9LAvcVKqP/kgFAC0Bn+tIC6ARQB6DK4ldeHvsbHqSG3EVMV1uwYEEjgEZXt4NxPEIQAOAuAKMAROP2Iu1v6/H40FebjmEbuVwDoBq/FPWrAC4AOAPgIvLyBjSzi3EdVsAZxg4IgRDACBgL9jjTf4e5tFG/EAOIM3111w65/DyMxfw0gOMAVMjLYzd1cQAr4AzTD4QgBrcX65EAJC5tVP9IYXwO47r8rB5y+TEAP5q+TiEvr9cps4xrsALOMFYgBDwA2QD+B8BM9GcogzsCAEw3fQFAK+TyrwF8DiAXeXnsrl03wQo4w/TAVLQnwFi0H4Hx4uJQ5Ang/5i+OiCX/wfAPgD/RF6e2qUtG+JYAWeYLggBH8BE/FK0Q1zbIrcjAfCQ6asTcvl/YSzm+5GXV+/Slg1BNhfwvDzHxMnK5YMnTtbMYDAgOzs76eLFi9Ku0bA90el0WLJkSdSRI0d8tFotmTp1auMHH3xQaSkIa/fu3b5/+tOfwnU6HfH19dXv2LHjSkpKSieLjLWdqWjn4JeiHezaFnGGCMADpq8PIJcfgnGY5f+xnrlzcOquO67EyZr99a9/DY6MjLT64s/GjRsDi4uLJfn5+YWXLl3KV6lU0o8++kjWfbu6ujr+008/Hbt79+7S4uLiwoULF9axyFjbEQI/QvA8gBIA/wXwFFjx7i8BgCkA3gdQCbn8PcjlaS5u06DHmQLOpThZc3v37dvnv3bt2mvWPsdz5855TJ48uUksFlOhUIhf/epXTbt3774jQ6WwsFAcEBCgM99JOWvWLPXRo0d9ampqWGSsFQhBCiF4D0AlgL8DiHFxkwYbLwBPAyiAXP4d5PKHIJdzptZwCWfGwLkUJ6vX67Fo0aLYLVu2lItEIqt7vHK5vHXHjh2Bq1evrgOAf//7335dExDNMjIyNDdu3BAeOnTIIycnp+2jjz4KAICSkhIWGdsLQjAZwO8B3AdgwJ/aGKtMAZCDjIxTUCg+BfAPKJUs7dJOOFPA7cUZcbJ//OMfQ8aPH998zz33tBcVFYmsbdvvfve7+tLSUvHYsWNTvLy89KNGjWo9evSod/ftAgIC9J988knJypUrozQaDW/KlClqb29vvVAopCwy9naEgAD4DYA1AO52cXOGJonkJCSSe2B8/ddBodgMYBOUSnZH8gBxpoB3jZPtqxfeV5zsrFmz1F999ZX38uXLoydPnqzetGlTdfdjmONkN27ceMdjQO9xsj/++KO3SqWS7t27N0Cn05GmpiZBRERE5oULFwr8/f0NPe3H5/Nhaks1ALz88sshiYmJHZa2nTlzZvPMmTOLAODq1auCDz74IDQ1NfW2NxRzZOwbb7xRI5fLk3ft2nWFUor58+fHnTp1qqindgwGpguTswG8CGC4i5sztMXE+HX5LhDAegAroFD8DcBm1iPvP86MS3EpTvb777+/XFNTc6GqqurC4cOHVT4+PrqqqqoL/v7+hitXrgjj4uLSLe3X1tZG6uvr+QBw6dIl0ccffxy8evVqi4tAVFRUCADjcM2qVasiHnvssTofH5/b3hyGamQsIcgBcBbALrDi7Vp8/jl4e1u6mCkD8BqAS1AoFkOh6DPnn7kTZ3rgAHfiZHtTUVEhNC931l19fT0/Jycn2TxtcN26dZXZ2dltwJ2RsatXr444deqUl1arJRMnTmzasmXLbTGwQzEylhBEAngDwP91dVsYk75nYUUA2ApgFRSKP0Cp3OeEVg0aLE7WydatWxcSHBysXbp06U1Xt8UW7hwnSwhEAFYB+AOMdw0OSk8H7jnxXvRrd7m6HVYjpByjRkWBEFs+8Z0EsAJK5XFHNWsw4VQPfDBYt25dv9fFZO5ECKYBeAdAgqvbwnQTFFQOQmydojkWwI9QKJQAXoRSyW4I6sWgHgtlBi9CMIwQ/AtALljxdkeNiIjo713bBMabqi5CoZhtxzYNOqyAM5xCCDwIwQYABTBOD2Tcka/vOfD5Ax3OCgPwGRSKf0OhYDdbWcAKOMMZhCAbQCGMY91iFzeH6ZkWMTHJdjzegwAKoFCsgkLBalYX7MVg3B4hIIRgDYDvwW57d38SyUmIRKF2PqonjDOM/j8oFBF2PjZnsQLOuDVCEATga+uAdngAACAASURBVAB/Abvozg2xsYEOPHoOgHNQKKb3ueUQwAo447ZMN+T8DGN2CcMFAsHP8PKy5/CJJQEA/gmFYhMUiiE9lGZ7AadU7pAvK2g0GrJixYrw2NjYjKSkpLTU1NS0xYsXR2o0GtI9gdBWO3bs8Pv++++tutOyL0VFRSKBQCBPSUlJM39du3bNqjvNjh07Jh09enTysGHD0ocNG5a+Z88en+7bXLt2jZ+Tk5Ngfh2mTp06rLq6WgAYo2bHjRuXlJSUlDZv3rxo8z7nzp0TT548mROzNQgBjxCshTHiNdzV7WFsEBmpdeLZfgfgBBSKJCee061wqgfOpTxwb29vnUqlKjR/hYaG9pmi2NTUxJs9e3bCa6+9VllSUlKgUqkKJk6ceEfYFiEEq1evri0rK8svLi4ujIuL06xYsSICAD788EP/CRMmNBcXFxdevnxZcurUKQlw+2317owQhAD4BsCfALDbq7mEkFIEBIx28llHAMiDQjHPyed1C5wp4FzLA++PDz/80H/MmDHNU6ZMaTU/P0uFPyQkRP+b3/ym2fz93Xff3VJZWSk27UPb2tp4er0enZ2dPLFYTDdv3hwwduzY1oyMDLdeWZwQTIFxyGSKq9vC9ENISBUIcUVMrxeAHVAo/j7UZqlw5qIQl/LAAaClpYWfkZGRSinFI488cnP9+vW1lpZG66qwsFAqFAppTk5OQm1trWj48OGt7777bmVvz1mv12Pr1q3B06ZNawQAhUJxc/bs2bFpaWlp06ZNawwODtZt27Yt8OjRo8X9ftGcgBC8DGNK3ZD6AxxE6hEe7uzed3fPA0iFQvEolMomF7fFKThTwO3FGXng0dHR2rKysvMRERG6qqoqwbRp0xJkMpl+5cqVvebK6PV6/Pjjjz7Hjh1TRUZGahcvXhy1dOnSqL1795b1tM8TTzwR7eHhoV+zZs11APDx8TF0XRd09uzZMevXr686ePCg1/vvvx8sEokMb775ZlVSUlJnry+Uk5hWft8MYKmr28IMgJ9fPni8HFc3A8Y548egUDwIpbK8z605jjO9na554H1t21ce+IEDBy4HBQVply9fHr1s2TKLF8nMeeDmMeyioqLCmpqaC+bHe8sDl0qlNCIiQgcAERERutmzZ988duyYV1/tjo6O7rznnnuaY2JitHw+H/Pnz6//+eefexyXX7JkSWRpaan4X//6Vymff+fL8vXXX3sBwIMPPtiycuXK6N27d19ZsmTJjRdffNEtLgwSAiGAT8GKN9dpEB3tTutfpsN4cdMhC7C7E84UcC7lgVdVVQk0Gg0BgObmZl5ubq5vVlZWGwD0lgc+f/78hrNnz3qan19ubq5vamqqxfjaZ599NuLcuXMeBw8eLJFKpXdESnZ0dJC1a9dGbNq0qdL0PY/P54PH49HW1laXXxwkBFIABwDMcXVbmAGSSk9BJApydTO6CQVwGArFDFc3xJFsH0IhJM8B7bAKV/LAv/vuO68NGzZE8Hg8qtPpyK9//Wu1eYijtzzwxMTEzhUrVlwbO3ZsKiGERkVFaT755JNy4PY88NOnT0vefffd0JiYGM2YMWNSACAqKkrz7bfflpiP9corr4QuWLDghvki6KpVq2pGjBiRKhQK6YcffljWn9ffXgiBH4B/AxjvynYwdhIbG+LqJvTAA8A+KBTzoVTudnVjHIHlgTvZUM8DJwShAP4DtlKOzdwyD1wgOIMRI0a5uhl90ANYBKVyu6sbYm9D7iKmqw3lPHBCEAfgWwDDXN0Wxk6ionpc49WN8AF8DIVCCKXyf13dGHvizBg4w22EIAPAUbDiPXgQctkFN+70Fw/Ah1AonnZ1Q+yJFXDG4QjBOACHwW6LH1xCQ6+5ugk2IgDeg0Kx3NUNsRdWwBmHMvW8D8K4CjkzeNQhLGyMqxvRTxuhUKxwdSPsgRVwxmEIQTSMxdvP1W1h7EwmKwCPx+UkwLegUHB+Cisr4IxDEAJ/GGebsPD9wacD0dGZrm7EABEA26BQTHZ1QwbC9lkoeXmOubtJLu9zfrlGoyEvvPBC2P79+/1FIpGBz+cjOzu7acuWLVVKpdL/q6++8u16G7ktduzY4RcZGdk5efLkPud5W6OoqEi0ZMmS6PLycgmfz6fPPvts7XPPPdfrlMyioiJRenp6ZkJCQrv5Zz/88EORpUCriIiITJFIZBCLxRQAXn311cpZs2Y11dXV8X/zm98Ma2hoEIwdO7Zl586dFYAxTnbFihVR33///WV7PL/eEAIPGOd5pzj6XIwLeHicglA4wdXNsAMRgC+hUEyEUnne1Y3pD05NI5w9e3ZsR0cH7+zZs4Uymcyg1WrxzjvvBNorTlYul7f2p4DrdDp0vTnHYDBg5syZCS+99FL1/PnzGw0GA2pqaqx6rc0xtNZsu2fPnpIxY8Z0dP2ZOU72jTfeqLnrrruSTp06JRkzZkzHsmXLot59912Hx8nK5eDFx+NvpaUY5+hzMS5BERs7mD5V+QL4GgrF3VAqK1zdGFtxZgiFS3GyBw4c8PH09NTPnz+/EQB4PB7M2SiO5gZxsm/5+eF36ek4SQja+96c4RSh8DQ8PPq9cIqbCoexiHPuQjtneuBcipPNz8+XyGQy3QMPPBBfVlYmiY2N7di8efPVhISEPlcrsSWGdt68efGUUowdO7Zl48aNVYGBgXpXxsnK5XgGwHIAEItx1/DhKCgoQIhOB0eukcg4U3Q0Z2qGjdIA7IdCcS+USmeuKjQgg/WX0SNnxMnq9Xpy4sQJ78OHD6tGjhzZsW7dupB58+bFnThxotciaksM7aFDh1QJCQna9vZ28uSTT0b99re/jT5w4MAVV8XJyuWYBOCdrj/j85GekYEKlQpXOjoQZ8/zMS7A4xVBJhvp6mY40EQArwN4ztUNsRZnhlC4FCcbExPTmZ6e3jZy5MgOAFi8eHH9+fPn+1yuzZYYWnNvXiqV0uXLl9edPn36ju2cFScrlyMMwG5YWAKNx0N0aip8fXzAyYtETBdhYXWuboITrIBC8T+uboS1OFPAuRQnO2vWLHVNTY2ovLxcCABffvmlb0pKyq3x4Li4uPQrV64Iu+/XWwxtV01NTbz6+no+YLxgumPHDv+0tLTbtnNWnKxcDj6MxbvHRDpC4D9sGJKDgnDcXudlnO4aQkKGyoXp/4VCkezqRliDU0MoXImT9fHxMbz55psV9913XyKlFDKZTLdt27YrAFBdXS1obGwUBAUF3XFRs7cY2q5xspWVlYJZs2Yl6PV6GAwGkpiY2P7RRx/ddgXdiXGyf4Hxo2evCIE4MhJ3SaX4oaICk+x4fsYZ/P2L3GTFHWfwhjGGdhyUSotDrO6Cxck62bZt2/wKCgqkr7/+eo2r22ILS3GycjlmANgP400RVmtpweHiYowHW3XeJi6Mk23DiBEaCAScm6UxQLugVD7m6kb0hjNDKIPFggULGrlWvC2RyxEHYBtsLN4A4OWFiRkZOMPjocX+LWPsztPz9BAs3gDwKBQKt17ujxVwxmZyOXgAtmMAGSciEcZkZuKqUIghm4/OEQbExka7uhEu9CYUCnda7/M2rIAz/bEMQPZAD8LnIzUjAzqpFA6/vZ/pJ5HoNKTSWFc3w4UkMGamuOX1QlbAGZvI5UiE8cKlXRCCiJQUBPn64qy9jsnYUXQ0lxMH7WU0gJdc3QhLWAFnrGYaOvkEgLSPTW1CCHzj45EREoKj9jwuM0A8XiH8/LJc3Qw3oIOf30QolW63jisr4IwtngNwjyMOTAiEERHIjo3FD444PtMP4eGNrm6CyxFSjKSkS4iPnwLgf6FUutXMKVbAGavo9UQIYIOjz+Pvj0kpKTgKgDN5FINUDUJCxrq6ES6kg5/fIYwYEQcvr1TTz0bDzW6zt31gXql0TB64QjFo8sA//vhj2WuvvRZm/r62tlY4ZsyYlm+++aakt/3a29vJ1KlTE/Lz8z0AoKGh4VzXx1988cXQvXv3BggEAurl5aVXKpXlo0eP7uh+nP/+97+eq1atimpra+OJRCL6wQcflGdnZ7cBwKOPPhpz+vRpT39/f11ubm5JQECAvr29nUyYMCEpNzf3ckhIiMWIgJYWvj+MF3QczsMD2ZmZOFNQgASDAT7OOCfTTWBgEQgJ63vDQYjHK0JCAoWXl6Ubl/4EpfJLKBS9/i07C6d64LNnz469ePGi9OzZs4XFxcWF58+fL0xOTu6wVx748ePH+8wrsUSnu/2myoULFzaYM1RUKlVhaGiodu7cuTf7Oo5AIKCrVq26lpube0fo1bFjx6Tbt28POnv27MWioqLChx9+uGHVqlWR3bczGAyYO3fusL/+9a+VxcXFhW+++ebVBQsWxBkMBpw6dUpSWloqLi4uLszOzm5WKpX+APDyyy+HLlq0qK6n4t3YCD+djueU4m0mFGLU8OGoFYlQ7czzMgCAFkRGDubQqp5o4ed3CFlZ8fDy6mkxEimAN53ZqN5wpoBzKQ+8q6NHj3pcu3ZNOHfu3D7HE4VCIWbOnNkcEBBwRyElhECn05GWlhYeAKjVan54ePgdwwzXrl0TNDc38x944IEWALjvvvtaamtrRT/++KOHSCSinZ2dPL1ej9bWVp5IJKLnz58XnzlzxnPp0qUW32AMBpC6OtzxRuEMPB4S09PB8/REkSvOP2R5eZ2BQODr6mY4FY9XhOTkUsTH54CQO3KKunkISuUkZzSrL245t9ESLuWBd7V169bAhx9++Gb3vBZb3X333e1PPfVU7bBhwzK9vb31Pj4++qNHj6q6bxceHq6TyWS6nTt3+s2bN69x165dvq2trbzS0lLRggULGrOzs5vS09PT4uLiOl577bWaGTNmxG/evLnHlXrq6hCi1cJlU8kIQWhSErzKynC6oQGjXdWOIcSA2NihFP2rhUx2DLGx91hRuLt6C0rlaCgUhr43dRzOFHB7cUYeuFl7ezs5cOCA/zfffDPgHmRxcbEoNzfXT6VS5cfExGjXrl0bMnfu3DhLa1zu2bOn5Pe//33kX/7yl7BRo0a1JiQkdAgEAgoAmzZtqgaMwxJbtmwJGD16dKtIJKLTp0+P6+zs5D3zzDPXZ8yY0QwAnZ0Q3rwJl4+DEgKv2FiMkEhwpKYGg2EtRvclFp+EROKKvBXn4/EuIjGRD0/P/oR0jQTwOIzTal2GMwW8ax54X73wvvLAZ82apf7qq6+8ly9fHj158mS1qajdxpwHvnHjRotjsL3lgZvt2LHDLyoqSjNu3LgBLy22c+dOWWpqantMTIwWAJYsWVL/xhtvWMz1zs7Objt27FgxYIyVDQ4OzsrKyrrtYmdtbS3/k08+CTx69GjxnDlzYhUKxY3x48e3jhkzJnXGjBkFxm0QSal7DLMRAkFYGCZIpfihtBQ56EcGC2OF6GiL+fODTCdksuOIjR0PQgZSA1+FUrkHCoVdFkLvD7f447QGl/LAzbZt2xY4b968O9Ice8oD7018fLzm5MmTXk1NTTwA+OKLL3wTExMtvjFUVFTc+kf5hz/8IXTs2LHN3dfDXLZsWeT69eurJBIJbWtr4xFCKJ/PR3t7Ow8A2trg0dwMf1va6Ax+fpiUlobjhMCuKwoxAPj8fPj6Zri6GQ7F411EcnI54uJyBli8AeNamqvt0az+sv0JWDHdz1G4kgcOAJcvXxaeOXPG68CBA7dNa+wtDxwAMjIyUmtra4VNTU2CkJCQ4ZMmTVJ/9tln5Y8//njjiRMnvLKyslJFIhH18fHRf/zxx2UAUFZWJrz//vsTzavZv/POO0H79u0LMBgMGD58eNunn35a1vUcBw8e9DIYDOTBBx9sAYA1a9bUPPXUU7FarZY8//zzNQBw/TrsumqPPUkkuCczE+cKChCj1/c/UIvpJjy82dVNcKBO+PsfQ0xMth0Kd1eroVR+CIXCJbOlWB64k3EhD7ylBZ4VFbhtGtW1axexenVqT7u4hMGA0osXIdRoEOXqtjiDg/PAKyGXh4EQt7rT0C54vEIkJYng4ZHgoDN8AIXiaQcdu1ecGUIZLLiQB15X57697654PMSnpUHi5YVCV7eF84KCSgZh8dbA3/8HZGUlO7B4A8BCKJWhDjx+j1gBZ27T2grP9nbu3P1ICIISExEbEICfXN0WDmtCZOQoVzfCrni8AqSkVCI2dpIT3pjEAJY7+BwWsQLO3KauzvXTBm1FCDyiozEmMhKHXN0WTvLxOQs+39vVzbATDQICDiErKwUeHsOceN6noVQ6vePDCjhzS1sbpG1t4OQdeISAFxyMnIQEHALg0psrOEaHmBhHDi84j7nXHROT44LhIF8ATh8HZwWcuaW+HiGubsNA+fggJz0dJwnBgOfeDwli8SmIxRGubsYAdbio193dCiiVTr1rmRVwBgCg1ULQ0uJ+8777QyzGXcOHo0QgAJtB1ZfYWE5+4rqFz7+A1NQaF/W6uwsFsMCZJ+zPPHDHxMkqlYMmThawPvq1uzVr1oR+/vnnATqdDiNHjmz99NNPy6VS6R1zPa9evSqYM2dOXFVVlVgsFhvef//9cnMsQH8iYxsaEEjp4Lm7kc9HRkYGylUqtHR0INbV7XFLfP55eHu73SozVmpHYOBJREVNACHu1BFdDaXyI2dlpLjTE+8TV+JkrY1+7e6LL77w2bdvn39eXt7FkpKSApFIRP/85z9bHNZYuXJl5Pjx41vKysryN23aVLFw4cJ+R8ZSCjQ2Iqg/z92d8XiISU2Fj48Pzru6LW4pMpKbw0x8/nmkpl5DdHSOmxVvAEgAMNVZJ3O3J98jLsXJWhv92t3Zs2el48aNa/Hx8THweDw88MAD6s8//9zisEZubq7sueeeqwOMkbEikYgeOXKkX5GxajX8dDqI+mofFxEC/2HDkBQUhOOubotbIaQcgYFjXN0MG7UjMPAQhg/PgFTqzomJC511Is6EWXEpTtba6NfuxowZ07Zjx46gmpoaQWBgoG7v3r3+1dXVd1wUuXbtGp9SirCwsFtd//DwcE1ZWVm/ImMbGhBs7evHRYRAEhmJu6RS/FBRgUmubo9bCAoqByExrm6G1fj880hK8oFU2p/kQGd7CEqlPxSKPhdxGSjOFHB7cUacrC3Rr13NmDGj+dy5c9enTJmSKBaL6cSJE5uOHDli89xSWyJjOzogbm/HYJkD3CNCQAIDMUkiweHiYowH4OoLXq7UiIgIx1zLsr82BAWdQmSku41190YM4FEAWxx9Iq68ILfFyfa1bV9xsgcOHLgcFBSkXb58efSyZcss3jZujpM1L4tWVFRUWFNTc8H8eG9xspaiX0+cOGFVkVy7du31wsLCi2fPnlVlZma2JyQk3DFOGRoaqgeAmpqaW2/A1dXV4tjY2NsS+syRsRs2bLj2wgsvRCgUihu7d+++snLlymjzNo2Ng2PmibW8vDAxIwN5PB4svnEPCb6+58Dn9+t6j1Px+eeQmlqHqCh3HOvui1OGUTjzonApTrav6Nfe4mTNUbB1dXX8t956K3TFihW1lrabNm1aw9tvvx0EAP/5z3+8Ojo6iHnhYrO+ImMBwB0jYx1NJMLYzExUCIW47uq2uIAW0dFJrm5EH1oRFHQIw4cPh1TKnWGe242CUpnl6JNwagiFK3GyvUW/9hUne++99yYZDAai0+nIk08+eX3+/PmNwJ2RsW+//XblnDlz4mNiYgLEYrHhH//4xxU+/5cPJ9ZExra1wUOrdc5K8+6Gz0dqRgYqVSqUtLfDlTd/OJdEchJi8XhXN6NHfP7PSE72h0TChbHuviwEsMKRJ2Bxsk7mTnGy1dWIbGy07u5Ld4yTtQdKoS4tRalaDbdfhd0ucbIpKapeVlx3pVYEB+chImICCBks9yPcABAOhaLPGWj9xake+GCwYMGCRgB9rlDvaJQCg+XOy4EgBL7x8UivrsaPtbVw356pPQgEP8PLa4Srm3EHgeAskpICIZFMdHVT7CwQQA6A7xx1As6MgTP21dICL50ONi3rNlgRAlFEBMbHxuIHV7fFoSIjHdYT7KcWBAcfRmbmCEgkg3VRjumOPDgr4ENUczNkfW81tPj7Y1JKCo4CcLdCN3CEXEFAwGhXN+MWgeAs0tIaERk5cRANmVjyG0cenBXwIaq1lZuxsY7m4YHszEyc5/HQ5Oq22FVISKWbFMpmhIQcMfW6+4yXGATioVQ67OIRK+BDkEYDkVYLp8ZecolQCPnw4bgmEsHlF5rt5CbCw13f+xYIziA9XT3ILlRaw2G9cFbAh6DmZtb77guPh6T0dMDDA0WubsuA+fldAI8n7XtDhzH2uocPHwWxeCj0urtz2Dg4K+BDEBs+sQ4hCEtORrhMhtOubssAaBAd7br5nwJBHtLTmxARMcFlbXC9e6BUOuSak+3TCOVyx2Qo5OUNqjxwa3O9uysqKhItWbIkury8XMLn8+mzzz5b+9xzz902F7+jo4OMGDEitcv3vMrKSnFVVdXPISEh+t7ywP/979yS9vaQQZ99Yi+EwDs2FiMkEhypqQH3ipBUegoiUbYLztyE0NBzCA/n3mtmf3wADwDYZe8Dc6oHzpU8cFtyvbsyGAyYOXNmwpNPPnmjrKws/9KlSwWzZ8++Y864RCKh5owWlUpVuGjRousTJkxQh4SE6PvKA/f0DJEaDNz6vbsaIRCEhWFCfDx+ANDnm7BbiY11/jJ5AsFppKe3sOJ9m8mOOChn/pC5lAduS653VwcOHPDx9PTUm2+f5/F4iIiIsHjLfVeffvpp4BNPPHEDAPrKA29tHfzJg47i54dJqak4Rgg6+97aDQgEZ+DpmejEM6oRGnoEw4ePhlhsMSRuCBvYHbQ94MydmFzKA7c217u7/Px8iUwm0z3wwAPxZWVlktjY2I7NmzdfTUhI6HFe8uHDhz3q6uqEc+bMUQNAVlaWprc88PZ2ePX3tWMAqRTjMzPxc0EBYvV6+Lm6Pb2KinLKsl4AAKHwNJKSIiAWs163ZWlQKr2hUDTb86CcKeD24ow88P7meuv1enLixAnvw4cPq0aOHNmxbt26kHnz5sWdOHGiuKd9tm7dGvjII4/Ui8XiWx/te8sD12hE3nPmPIO77vpVX81heiAQYERmJkouXkSLRgP3nFVByGUn3bijRljYBYSFuWKcnUt4AMYC+K+9D8oJXMoDB6zL9e4uJiamMz09vW3kyJEdALB48eL68+fP9zgu39bWRv75z3/6KxQKi4Fj3fPAn3zy6aa///1jzV/+8ru+msL0gcfDsLQ0iL28UOjqtlgUGnrN4ecQCk8hI6ONFW+r2X0YhTMFnEt54EDvud495YHPmjVLXVNTIyovLxcCwJdffumbkpLSY+Hfvn27LCYmRjNmzBiLq913zwOnVCARifjijo5W+Pqi3dcXzZ6eaBUKB+Gt405ACIISExEbEICTrm5LN3UIC3PkepdqhIX9iMzMMRCJwhx4nsHG7gXc9iEUK6b7OQpX8sCBnnO9e8sD9/HxMbz55psV9913XyKlFDKZTLdt27YrwJ154ACwffv2gPnz51vsfVvKA1+69HeJWq0ey5athU6HWxdeRSJAIoGOx4OGUhi0WvA1GogNhiG97JhVCIFHdDRGSyQ4VFUF98iwlskKweM5pi1C4UkkJ0dDJBrcyY2OMc7eB2R54E7myjzw6mqkaLWweqoknw8NIdAaDMCVK4Xi555LIxiC102s1dSEQ5cvYyIAh9wmbmUeeAeyslogFAba+fSNCA8vQGgoK9wDkwCFosReB2N/jE7mqjxwSnFbr9saej3EMC7QCh6PQC5Hu16Pi21tuKlWQ9jYiCiNBoM1BtRmPj7ISU/HicJCjKDURSsdeXicglBo35kgxl53DOt128VIAKyAM7bRaiGhdGDXPAiBVCBApo8P4OMDREUBlOKGVosrLS1oa2yEp1qNBLefXudAYjHuyszEhcJChOt0CHDy6SliY+05/7oB4eEXERp6jx2POdTZdV5+XwWcUkqHWHDY4KTRwOoLsN1RStHTSBshCBSJEOjvD/ibblUyGFCm0aC6qQnaxkYEtrQgkVKI+nt+rhEIkJmRgXKVCs0dHYh12omFwjx4eNhn6qBI9BOSkuIgErHibV/OK+CEEHVnZ6dQLBazWQocN5D4WINBi85O6z+s8XiIlUoRK5UCISEApeg0GFDY1oY6tRqCxkZEdHQgBg4aK3YHPB5iUlNRf/kyLjQ3I9MpJ42KssdF55uIiFAhJIQVbsdIsOfBev2r1Ov1H1dXV/8uJiZGzePxuJUBwdzGYOjf8mmUGtDYWIuLF/sfYEgIRHw+0ry9AW9vIDISoBSNWi1KWlvRbBp6idPpYO8Lby5FCAISEuBZWYnjdXW426En4/GK4e8/sIWZRaITSE4eBqGQFW/HcV4P3GAwvN/U1DTqwoUL2QCbUsZl7e0CL53O9iFwSoGaGk8UFNi3thICP5EIcpEIkMlunatSo0GFaehF1tyMREptu/DqbgiBJDISd0mlOFRR4cBphqGh1wEk9XPvekREFCMkxLFvMgwAhEKp9IJC0WKPg/VawOVyeSeABfY4EeNaCgVOAnDkzR0DRggiJRJESiRAcDBAKXQGA1Tt7biuVoPX2Iiw9nbEgUM3oAEAISCBgciRSHC4uBjjYf/OUC1CQ8f2a89fet2seDtPAoCf7XEgNgtl6ODcHXOEQMDnI8XLCyleXkBEBEApmnQ6lLS2oqmxERK1GrFaLZwfmdoPXl6YmJGBk4WFSDcYrJ+P3yd/f1U/bty5gcjISwgOZoXb+VgBZ6ynUIAA3ChyfSEEPkIhRvr5AX6myYqUoqazE+VNTehobIRfczMS7Vog7UgkwtjMTFwsLESAVotgOxyyDdHRw23aQyw+jqSkRNbrdplh9joQK+BDQyDQv4uYXEAIwsRihAUFAUFBAKXQU4pL7e2obWoCbWxESGsrhsFNruPw+UjNyEClSoWS9vYB/jF7uEZYiwAAHb5JREFUep6GQDDRyq3rEBl5mfW6Xc5uF5RYAR8aODd8MhCEgE8IEj09kejpCYSFAZSiVa9HSWsrGtRqiBsbEdXZiQgXtjEyJQXq0lL8rFZjRD8PQxEbG23VlmLxMSQlJbNet1uw2/qYrIAPDUOqgFtCCDwFAgz39QV8fYHoaIBSXO/sRJnpLlLfpibE6/XOW/CZEPjGxyOtuho/1tbC9tvURaJTkEr7unhZh6ioEgQFsamB7qPP1bmsxQr40MCWt7KAEASLxQgWi4GAAIBSUEpR2tGB6qYmGBobEdTaigRKHTf8RAhEEREYL5Xih7IyTLJp5+jo3u9uNfa6UyAUOmQ5L6bfWA+cscmQ74FbgxAQQhDv4YF4Dw8gNBSgFB16PVRtbWhQqyFQqxHZ0QHrhi1s4O+PSRIJjqhUuBvW/F3yeBfh59fT0Mt1REdfQWAg63W7J1bAGZuwAt5PhEBiIcCrXqtFaZcAr2F6/cD/KD08MCEzE3kFBUgyGPpYfDo8vMHizyWSH5GUlAaBwO7Z04zdsCEUxiahrm7AYEIIAkQiBHQL8CrXaFDVJcArgVLb82eEQsiHD0dxYSFaOzt7/L3VIDi4+01Z5l43i3x1f6wHztjENdnUQwiPhxipFDEWArxuqNXgq9UIb29HLKwI8OLxkJSejpqiIhS1tSH5jg0CA4vA4/3yqcrY605nvW7O8IJSKYBCcceqXLZiBXxoGLSpf+6qhwAvtU6HkpYWNJmGXmJ1OgT1sH9YcjK8ysqQ19AAeZeHWhAZaQ6tqkV0dDnrdXOSJwD1QA/CCvjQwAq4GyAEvkIhRslktwV4VWk0qGhuRmdDw+0BXoTAOzYWWRIJjtTUwLjKjpfXGQgEE7v0uvuXgcK4ml3+JlkBHxpYAXdThCBCIkGERHLrLlKdwYAi012kvMZGhIaFYbxUikO0iSdCbKwPYmJOISCA9bq5zS6BbKyADw2sgHOEKcAr2csLyV5eQHg4QCkaJBJo7vFMuIrIsZMhELjsDlLGblgPnLEaK+AcQgg6vb1RJJPhpo8PPAUCJBOCqQnyrCPg03zk5dVBr+/v7ffMIMIK+NBgcHUDmJ4RgnYfH6j8/dHk7Q1fPh/JhNy+DJtEgisAyTakZxbxDAYRyssPoa5uHNgMI66yyzKVrIAPDR2ubgDzCx4PTb6+KPb3R4unJwJNBbvX5dCio1FBCOI6tPwbHklJAQDuQVBQBVSqThgMqU5qOmM/rIAzVmt3dQOGMj4fDX5+uCSTod3TE8E8HpIIgdWrxxOCdm9vZAFAoxrUI8wrFQEBhwDkYORIHUpLf0BDQzbY3zOXsALOWI31wJ1IKMR1Pz+UyGTQenggjBAkEIJ+T/cLC0MeIcgGgIYGRIWHAYiOngi1+gx0ulEYNmwSmpsvorhYBErttlgA4zAGe9zEA7ACPlSwHrgDiUSokslQ5ucHg1SKKB4PsYBdVtsBAISE/JKd0dFBYimldYSQIKSkhCM//yYAf3h7p2LkyA5cunQIzc0TwLF1Q4eYm/Y6ECvgQwMr4HYkkaBcJkOFnx94EgliCEEk4JjFIby8UMjnI63rzzo7USIWIwgiUSiio39CRYXxFnoeT4Lk5Bw0Nv6My5cDAUQ6ok3MgNXZ60CsgA8Nra5uAIdRDw+UyGSo9vWFUCxGPCGIARDjjJNHR9/ZW1M3QRNsvgE/MHAc6uuPoLV1wq0N/PxGYOTIZhQVHUFb24Tu+zMuxwo4Y5NKVzeAQwyenijy98d1Hx9IRCIkEoIEGFcSdyo+H41S6W05KACAhgYEBXdNUElMHI1z50puG//m872RljYBN26cRFlZLOw4pMMMGCvgjE3KXN0AN6b19kaRvz9ueHvDSyhEEiFIBeDyqXkREThHCHK6/7ylBcmUooUQeAEAeDwpkpL0KCrSAN0ibAMDx8LX9yZUquPQaNh6mO6BFXDGJldc3QB3QQg6fHxQJJOh0dsb3gIBUghBhqvbZQENDOxp5R/C1+noJaGwy9xxT88kBAYexo0bd65QLxT6IzPzbly7dgyVlWkA/BzUZsY6rIAzNqmA8W7MITczgcdDi68vimQytHh5QWa6aSbL1e3qi0yGszweRvX0eHML1P7dlwWIipoAtfo0tFrLc8xDQ++BTFYDlepyj9swzsAKOGM9pRJahQJVAKJc3RZH4/Oh9vNDsUyGNk9PBJlumrljHNndRUb2fqNHQwN87yjghBCkpMTiwoUbAAIt7igWhyErKwyVlYdx7ZocxlxqxrlYAWdsdgWDsIALBKiTyVDi54dODw+E8HhIJATdlxvjFJEINSJR73dqNjUhiVLoCOn2NywUBiI29jTKygLQW4hZZOREBASUQ6UqgV4/3C4NZ6xlt0kFrIAPHWUA7hwf5RihEDUyGUplMhikUkTweIgHLK9qw1WRkSgmpPeFqA0G4mkw0DvmiOP/b+/eY+S86jOOf8/M7O7s/WbvfXa9613vOL6NM0lwEl8CKb1QSiWKilQqkQpV5w9KL7QCJFrUlqoFWlqoCsWgUoGqiiIoFFpEATVxEpIQsgnOzU4c2yE3Et9md+1dX3a9b/+YdbCTvczlfee8787zkVZx4plzfla8z77zvuecH0BHxw2cOnU3586t/P+7vn6ITGaBZ589wOnTNwO1ZRUuhTrs10AK8OoRyQeZdXU8t7hphvp6howhBSuHW8TNt7cv0QdzCTMznGxpWeY3R0ffwMGDT+N5m1YcxJgYw8P76Oo6wlNPLbCwUNDcUrJTWHvKr8EU4NUjEgFeX//qppl4MsmwMQzCcqsx1p7163nIGHYV8trcJHXLBngsVsf4eJzDh89DvkXbihobx8hk5jh69ABTU7uBeOFVSxF8u/oGBXg1edZ1AUtYaGzkmfZ2ftbaSl1tLaPGsBGo2gOZ+vpes457BZOTjA6t9KOtoWEjXV13c+JEYbfOYrEaxsb2MT39OEeONOJ5w4XWIgVTgEtJwnAFPt/UlN8009JCw+KmmU3Ayh/zq0R9PceuWdu9ivl5s25hwTsei7F80A4M7CWXe5C5ucJPQ2xp2UomM8uRIwcW76Oro5N/FOBSkhfJn0FcU6kJjeHi4i7HM83NtCQSbDKGLZWaP2pSKZ4HRop5z/nzvNjYuEKAA6TTozz22MtAT8EDx+MNpNP7OHPmYY4d62VtP3eopEN+DqYArxL793PZWo4C6aDmiMWYXdzleKU1WNoYtEStALEYs83NFN3ncnIK07jaSu6amg6Ghx/m+PFuir2a7ui4npaWKZ566l7On99dbH3yOroCl5I9gI8BHosx3dbGU+3tzDY10RmLrd4aTJbW08OEMRR9cmAux0B/XwEvbG+/ntOn72J6+raii0skWtmyZTcnTjzAc8+NstwmIVnNDD4/i1KAV5f7gTtKfXMiwZnF1mAXFjfNbIr6ppmw6O4uLRQvXjRDnue9Ygzdq75448ZbOXjwUMk9NLu6dtHefpJDh37EpUtvKGmM6vYjrPW1wbgCvLrcX8yLa2p4pb2dY21tzDU00GcMG41B37g+a27miXi89GcDFy9yPJksIMCNqWF8PMmhQzOUuoW+pmY927ev56WX7uWll7YDyy1klNe71+8BFeDV5QlgmmW+6erqeLGtjePt7ZBMkorFGIICgkHKkkoxWc77p6e5mEwW+OL6+mF6eu7h5ZfLa/TQ17ebzs4XOXToKPPzum1WGN8D3Hie5/eYEmLW8j3gzQDJJMfb23lhsTXYBmOCaQsmy4vHyWUy1BtDoRH8Oo2N3uH0eJHPNp54wp/zwT3P4/nn7+HEiRspZMNQ9boMtGHtOT8H1RV4lenp4TsdHTTV1bHRGIZhlSVoEqiBAR5dqmlDMWZmGPM8zhpDc8FvGh/fzKOPvgQU8gh0ecYYBgf3sm7dcQ4fnmVhQctEl3bQ7/CGKjwfutr19fGTZJKbjVGLrRDwOjvZUP4wJj4/z9NFvSWRaGPjxpPkz4kvX0PDMDt3punouAtWPgq3Svl++wQU4NXofuCC6yLk1aYNvjRHPnuW4q/uWlt30Np6tx/zA2BMnJGR20inj2LMM76NuzYowKV81nKRIlejSDBWa9pQjDM5Wkt648jIbmKxJ/yqA4CmpjQ7d6ZoabkLv67wo08BLr75jusCql0hTRuKMT3NuOeV8APBmATpdDNw1q9agPxpiJs23cbY2OMY85yvY0fPw1j7syAGVoBXp/9yXUC1S6V4yhj/jmz1PFN/eYGnSnpzMjlIX9+jftVyjdbW7WQyHTQ2+nerJnq+EdTACvAqZC1H8PlMBimcMcy1tVHabsgVzMxwuuQ39/TcSjL5Qx/L+bl4vInNm/cyPPwQ8HIgc4TbN4MaWAFevb7luoBqtdi0wfcNUpO5Mtdhj49vA573p5oldHbeQCZTRzJ5X2BzhM8zWPt4UIMrwKuXbqM40tsbzIaXySlGPY/Sd+bF4y2Mjk6S33QSjESina1bbyGVug/IBTZPeAT6faYAr14PACdcF1Ft6us5WlNT/LGxhZifNx2ex7GyBmlp2UZ7eyArJq7R3X0L27dfoqbmx4HP5VZg979BAV61rGWBAO/NydIGB3kxyPHPn+elsgfZsGE38XgwDzWvVlvbzY4dN9Lbew+UsI49/F4h4CW7CvDq9iXXBVSTWIyZpiZ2BDnH5KQP39PGxEmnO4Gp8isqQH//HrZuzRGPH6zIfJXzLb+Pj30tBXgVs5b7gCOu66gWPT08bEyJG24KlJv0Z2cndXX9DAz4u8FnJclkikxmG+vWHQAuVmzeYAV+gaQAly+7LqBadHezPug5Ll40A56HP5tGurpuob4++PvhVxgTY8OGfWze/DyxmK+9Ix14EmuDWZZ5FQW4fBnKWLkgBVls2hBYP9KrXbzoY9uuTZsyGPNT38YrRGPjKJnMKG1tB4D5is7tny9UYhIFeJWzlueAO13XsdalUpVbMjc15eNpgPF4E6OjM1T6hMFYrIbR0X2Mjz+NMeWtrKm8i1Tok60CXAD+1XUBa1kiwZn6ev/OPVlNLufzJqHm5uvo6HCz+aa5+Tp27uylufluovNJ8etYe6YSEynABeCrVOcW54ro7+excjruFGtmljHP83kFydDQHhKJR3wds1CxWD3j43vZuPEnwAtOaijO5ys1kQJcsJZLwGdd17FG+dS0oRgmNjfn8+oiY2Kk0z243D3Z3r6TTKalog9Wi/c01h6o1GQKcLnic6jRg+86Opjwq2lDMc6eZcb3QWtre0mlSjvx0C+JRAtbtuxmaOhB4KTTWpa2v5KTKcAFAGs5Cfyb6zrWmv5+Nw0NcjnaAxl4/fpdNDTcE8jYxdVxEzt2xKire8B1KVc5Q4VWn1yhAJerfcp1AWtJbS0v1daSdTH39Fk2eR6XAhl8bCyLMUcDGbsYNTWdbNu2i/7++6jUrtGVfRpr/W2MsQoFuLzKWp4A/td1HWtFKsURP5s2FMPzTPLy5RIbPKwmHm9gbGweAvoBUaze3lvYtm2WRGLCYRXTwD9WelIFuLzWR10XsBYsNm24zmUNMzMEt5StqWmcdevC01u1rq6XHTuup7v7bmDWQQWfwdrJSk+qAJdrWMsPge+6riPqFps2BL51fiW5chs8rCaV2ksi8VCgcxTDGEMqtZctW04Qjz9WwZlngL+v4HyvUoDLUv7MdQFR19cXcHgWYHKKTWU1eFiNMYbNm4cI22qQ+voNZDLX0dl5gMrc5tmPtacqMM/rKMDldazlIdSxp2T19RxNJIJp2lCMy5dNm+fxTKCT1NSsZ2jo2UDnKIUxcYaH95FOP0ss9nSAM10A/i7A8VekAJflfITobF0OlcHB8OwWnJ2twA7bzs4bQ9t1vqlpE5nMBlpbDxBMq7h/xlp/Tn8sgQJclmQtj5LfYi9FWGzasNN1HVdMTlVoFczY2E0YE86z5WOxWsbG9jE29qTPJyueBP7Cx/GKpgCXlXwQOO+6iCjp7eVhY2hxXccVuVyFdoHGYknGxw1h3s3b2rqNTGbd4qcFPz5dfhhrna4/V4DLsqzlp8AnXNcRJV1ddLmu4WqXLpl+z/OhT2YhGhpG6ep6sCJzlSoeb2Tz5r2MjDwMZTW+eAT4F5+qKpkCXFbzcaCyB/pHVEsLj8XjjLuu47UuXOB4xSYbGNhLTU24QxygoyNLJtNAMllq15zfD7rfZSEU4LIiazkPvN91HVGQSjHtuoalTE1X+DyWdHoj+Y7s4ZZItLJ1660MDj4AnC7inV/B2lCciKgAl1VZy38CP3BdR5glEpxOJivXtKEYuRw9FZ2wpqaT4eEXiMoqpq6uXWzfvkBtbSGfHGaBDwRdUqEU4FKo97F2uoX7rr+fx42hznUdS5mdZdTzqOw27/b27GIXnWiorV3P9u030dd3L6z4SepjWPt8pcpajQJcCmIth3G8ZCrEvM5Ohl0XsTxjfG/wUIiNG28mFjtc8XnL0de3m61bp0kkfrLE7x4EPlbpklaiAJdifAII/wOqClts2jDouo6VTJ91cMBTLFbL+Hgdbg6XKl0yOcCOHTtYv/5ufr4scg64A2sr29x5FQpwKZi1XAbuIMxrfR1w1bShGIE1eFhNff0wPT0uj3ktjTGGoaG9XHfdS8RiTwJ/jbVLXZU7pQCXoljLIfLb7AWoq+OF2tpwPry82tmzpD3P0Q/evr491NaGqXNO4RoaRshkzgJ/5bqUpSjApRSfBMJzFrRDqRTPGBP+7yPPM7WBNXgoRDo9TnkbZ1yZJRZ7N9bOuy5kKaH/iyfhYy0LwG8TjjZWzhjDpdZWtriuo1DnzlV4JcrVEol2RkZegfDfbnqNPyabddvIeQUKcCmJtRwDfsd1HS51dblv2lCM3CSNTgtoa8vQ2hqdpYXwbbLZz7kuYiUKcCmZtXwDR51IwqC3lybXNRRjaooxz3N8BTwysptY7AmnNRTmOeA9rotYjQJcyvVB4D7XRVRaQwNHEgm2u66jGJcvm9aFoBs8rMaYBOl0E3DOaR0rmwHeRjYbrk5DS1CAS1msZR54J+CkpZQrqVQkH8hxvhINHlaTTA7R23vQdRnL8IA7yGbDWt81FOBSNmt5Afgtgul4EjqxGOfC1LShGLlJalzXAEBv763U1YXxk9tfks1+zXURhVKAiy+s5fvAH7quoxJ6e3nEGJpd11GKXI4Nrmt41fj4FghP+zng60TsuAgFuPjGWv4J+IzrOoLW1UW36xpKNTdnej0vJKGZSLSyceMZwvHJ7SDwbrLZaJyguEgBLn77A+B/XBcRlMWmDZtc11GOCxdC1KCjtXU7bW2uz9Y+Cfw62eyM4zqKpgAXXy2el/JOIHrnXxQgrE0bijE5FbLNNMPDu4nHH3U0+yXg7WSz4fmhVgQFuPjOWmaAtwLHXNfip0SCU2Ft2lCMXI4+1zVcw5g44+MdVH5n72XgXWSzrj8BlEwBLoGwlpeBNwGhOfy+XAMD4W3aUIzz5xnxPM64ruMayeQA/f2V3ODjAe+J0oqTpSjAJTCLXe3fRDQPMXqthY4ONrouwh/GXJpzvKFnKd3dt5TRZLhY7yOb/VKF5gqMAlwCZS3PALeTf1AUWYtNG1Ku6/DL2WnOu65hSePjOzAm6PvRHyKbXROrpRTgErjFM8R/AUL2sb0IAwOuK/DXmRydrmtYUjzexOjoOSCo41s/RDb78YDGrjgFuFSEtTwK/CJw2nUtxaqr44WaGrKu6/DTubOMe15Ir8Kbm7fQ0RHErZQPrKXwBgW4VJC1TAC7idiDzVSKo1Fo2lAMD1Nz+TJPu65jWUNDe4jH/Wxh9idks3/r43ihsKb+Ukr4LXa3vxWIRLfyqDVtKMbZc+Rc17AsY2Kk091Qdo1z5FebfNKHqkJHAS4VZy3PA3uAH7uuZTWLTRvWua4jCLlcyM9zqavrJZUqpxvOJPDLZLNf9KuksFGAixPWcor8EsMfuK5lJVFr2lCMqSk2eV4oziFZ3vr1u2houKeEdx4HbiGb/T+/SwoTBbg4Yy3ngLcAn3ddy1Ki2LShGAsLpnlhgSOu61jV2FgWY44X8Y4fAbvIZg8FVVJYKMDFKWuZsxYLvJfglo6VZHBwTWxAWtHsLCdc17CqeLyBsbGL5M8tWc3XgDeSzYb/z+UDBbiEgrV8FngzIensE4txrrExmk0bihGaBg+raWpK09l5/yqv+jjwm2Sz4VweGQAFuISGtdwF3Ag85rgU+vqi27ShGJOTjLiuoWCDg3tJJJY65fIC+ZUmH4raed7lUoBLqFjLs8DNwJdd1tHVRY/L+Stlbs50LyzwnOs6CmKMIZ0e4NrNYIeBN6zllSYrUYBL6FjLjLW8G3gXVP787ZYWHovFGKv0vK5cuBCRAAeore1mcPDo4r99CbiBbNbVWeLOKcAltKzl34Gd5FcVVMxaaNpQjKlKn8JdrnXr0rS3v4Ns9o4odtHxkwJcQs1ajpHffv83EHwnmcWmDTcGPU+Y5HL0u66hCAeA7YyMfN11IWFgPK+q7vlLhO3fzx7gC8B4UHNs2MBd69ZxW1Djh9X1O71TId9xehH4MPAPGBOulnAO6QpcIsNa7gF2AB8lf8aF3xY6OxkNYNzQu3SJo6u/ypkJ4AaM+aTC+1oKcIkUa7loLR8Brgce8HPszk4mjGGNnfxdmOlpLriuYQmvAO8BbsKYx10XE0YKcIkka3mc/KmG78OnlSr9UboT7LMzOda7ruEql4C/AzZhzBd11b083QOXyNu/n3XAnwMWSJQyRl0dL2zdSt9aO/e7cN789Tu5ZAwNjgv5b+D9GBP+M1pCoEr/sspaYi2nrOX3gG3At0sZYy02bSiOSczPU87RreU6DPwKxvyawrtwVfwXVtYaazlsLW8jf0ztw4W+by03bSjGuXNO1r9PAn8EbMOY7zqYP9IU4LLmWMudwA3AO4BHVnv9Wm7aUIwzlW3wME3+8KlNGPMpjAnVSZRRoXvgsubt389bgD8lf8bK62QyPLqWz/0uVCzmncvsIGlMac8RCnQS+DTwGYyZDHCeqqAAl6qxfz9vJB/kb7ry3xobeXrzZja5qypcMju8Q/E4mwMY+lngU8AXMGY2gPGrkm6hSNWwljut5Xbya8i/CJxPpXjZcVmhMuN/g4e7gd8ARjHm0wpvf+kKXKrW/v107NzJu+Jx3kuA2/OjZP0674HBQXaVOcwF4KvApzBm1WcQUjoFuAgwMcE+4HfJXy0mHZfjTE3CO7l9e0mbeuaA7wH/AXwTY876W5ksRQEucpWJCZqBXwXeTr7hcqPbiipvZ8Z7NhZjQwEvvQzcCXwF+AbGnAm0MHkdBbjIMiYmqAd+ifxV+VuBNrcVVcbmtHdvQwO7l/ntBeBe8lfaX8OYqmgeHFYKcJECTExQA9xO/sr8dohQL8ki9fZ49/b1XRPg08A9wPfJh/aLbiqT11KAi5RgYoI+YC+wZ/FrK2CcFuWTZNJ7cst1PEf+9sidwMMYc9lxWbIEBbiIDyYm6CB/OuIe8huGrgM6nBZVmDngCPAgcP/i1xPZbPDdj6R8CnCRgExM0AWkgc2LX1d+naLyV+tnyB8YdRh46qpfH8tm0Tb2iFKAi1TYxASNwDDQc9VXN/kr9varvur5edAv988Z4DRwaol/Xvn1sWyWU8H9icQVBbiISERpK72ISEQpwEVEIkoBLiISUQpwEZGIUoCLiESUAlxEJKIU4CIiEaUAFxGJKAW4iEhEKcBFRCJKAS4iElEKcBGRiFKAi4hElAJcRCSiFOAiIhGlABcRiSgFuIhIRCnARUQiSgEuIhJRCnARkYhSgIuIRJQCXEQkohTgIiIRpQAXEYkoBbiISEQpwEVEIkoBLiISUQpwEZGIUoCLiESUAlxEJKIU4CIiEaUAFxGJKAW4iEhEKcBFRCJKAS4iElEKcBGRiFKAi4hElAJcRCSiFOAiIhGlABcRiSgFuIhIRCnARUQiSgEuIhJRCnARkYhSgIuIRJQCXEQkohTgIiIRpQAXEYkoBbiISEQpwEVEIkoBLiISUQpwEZGIUoCLiESUAlxEJKIU4CIiEaUAFxGJKAW4iEhEKcBFRCJKAS4iElEKcBGRiFKAi4hElAJcRCSiFOAiIhGlABcRiSgFuIhIRCnARUQiSgEuIhJRCnARkYhSgIuIRJQCXEQkohTgIiIRpQAXEYmo/wcTPt2agy5oAgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yBK1AhlcyykR"
      },
      "source": [
        "### **Sentiment Analysis based on Emojis**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "J60BR4K6iOHi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 586
        },
        "outputId": "3a5255e7-13ea-4f27-a65b-1267d727885c"
      },
      "source": [
        "blm_tweets_emojis=blm_tweets[blm_tweets[\"Emojis\"]!=blm_tweets[\"Emojis\"][1]]\n",
        "blm_tweets_emojis.reset_index(drop=True, inplace=True)\n",
        "blm_tweets_emojis"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Unnamed: 0</th>\n",
              "      <th>Date</th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "      <th>Hashtags</th>\n",
              "      <th>Emojis</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0</td>\n",
              "      <td>2020-07-31 23:52:04+00:00</td>\n",
              "      <td>Willimperial</td>\n",
              "      <td>😂 “The Liar Tweets Tonight” #resist #resistanc...</td>\n",
              "      <td>#resist #resistance #DumpTrump2020 #DumpTrump ...</td>\n",
              "      <td>face with tears of joy</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>9</td>\n",
              "      <td>2020-07-31 22:09:17+00:00</td>\n",
              "      <td>Paul52228396</td>\n",
              "      <td>#BLM = Burn Loot Murder. Thanks Jim Jordan!😏</td>\n",
              "      <td>#BLM</td>\n",
              "      <td>smirking face</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>19</td>\n",
              "      <td>2020-07-31 23:36:12+00:00</td>\n",
              "      <td>BossBigmamma</td>\n",
              "      <td>I said what I said. If you won’t reach out to ...</td>\n",
              "      <td>#alm #blm #BlackLivesMatter #BlackLivesMatter ...</td>\n",
              "      <td>peach</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>35</td>\n",
              "      <td>2020-07-31 20:36:57+00:00</td>\n",
              "      <td>gradydoctor</td>\n",
              "      <td>I’m so sorry, babygirl. 💙 #JusticeForBreonnaTa...</td>\n",
              "      <td>#JusticeForBreonnaTaylor #BLM</td>\n",
              "      <td>blue heart</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>39</td>\n",
              "      <td>2020-07-31 23:24:54+00:00</td>\n",
              "      <td>RayDaltonXXX</td>\n",
              "      <td>#BLM keep the intensity of the rallies-NOW is ...</td>\n",
              "      <td>#BLM</td>\n",
              "      <td>heart suit</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>819</th>\n",
              "      <td>4721</td>\n",
              "      <td>2020-07-27 20:19:22+00:00</td>\n",
              "      <td>DamilareDamson</td>\n",
              "      <td>Another George Floyd in Nigeria 😂</td>\n",
              "      <td>NaN</td>\n",
              "      <td>face with tears of joy</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>820</th>\n",
              "      <td>4724</td>\n",
              "      <td>2020-07-27 13:53:26+00:00</td>\n",
              "      <td>AmieNicoleLICSW</td>\n",
              "      <td>🤬🤬🤬 apparently they haven’t been listening to ...</td>\n",
              "      <td>#BlackLivesMatter #BlackLivesMatter</td>\n",
              "      <td>face with symbols on mouth</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>821</th>\n",
              "      <td>4738</td>\n",
              "      <td>2020-07-26 08:08:52+00:00</td>\n",
              "      <td>Texasgirl792</td>\n",
              "      <td>Correct me if I’m wrong but I didn’t hear Geor...</td>\n",
              "      <td>NaN</td>\n",
              "      <td>thinking face</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>822</th>\n",
              "      <td>4740</td>\n",
              "      <td>2020-07-26 14:55:12+00:00</td>\n",
              "      <td>JfkJrQReturn</td>\n",
              "      <td>Called out Oprah....George Floyd happened..🤔</td>\n",
              "      <td>NaN</td>\n",
              "      <td>thinking face</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>823</th>\n",
              "      <td>4765</td>\n",
              "      <td>2020-07-26 10:25:55+00:00</td>\n",
              "      <td>AprilAhumada12</td>\n",
              "      <td>Black Lives Matter, fuck the cops who killed G...</td>\n",
              "      <td>#BLM</td>\n",
              "      <td>raised fist: dark skin tone raised fist: mediu...</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>824 rows × 6 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "     Unnamed: 0  ...                                             Emojis\n",
              "0             0  ...                             face with tears of joy\n",
              "1             9  ...                                      smirking face\n",
              "2            19  ...                                              peach\n",
              "3            35  ...                                         blue heart\n",
              "4            39  ...                                         heart suit\n",
              "..          ...  ...                                                ...\n",
              "819        4721  ...                             face with tears of joy\n",
              "820        4724  ...                         face with symbols on mouth\n",
              "821        4738  ...                                      thinking face\n",
              "822        4740  ...                                      thinking face\n",
              "823        4765  ...  raised fist: dark skin tone raised fist: mediu...\n",
              "\n",
              "[824 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 57
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1fcoAQedCTHf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "outputId": "e8e81268-2184-4ea3-9976-1e050cca3594"
      },
      "source": [
        "polarities = [TextBlob(text).sentiment.polarity for text in blm_tweets_emojis['Emojis']]\n",
        "pd.DataFrame(polarities,columns=[\"pol\"]).describe()\n",
        "df = pd.DataFrame(polarities,columns=[\"pol\"])\n",
        "fig = px.histogram(df, x=\"pol\")\n",
        "fig.update_layout(title_text='Sentiment Analysis Histogram based on Emojis Used' )\n",
        "fig.write_html(\"sentiment_histogram_emoji.html\")\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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          "metadata": {
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    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LnzYNTgpH6Eb"
      },
      "source": [
        "### **Sentiment Analysis on News Channel Tweets**"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OTq--JOmIB4K",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343
        },
        "outputId": "abe74757-2d61-4349-fb86-2d40499167ed"
      },
      "source": [
        "blm_news_new[:10]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Name</th>\n",
              "      <th>Text</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>BBCNews</td>\n",
              "      <td>Reni Eddo-Lodge breaks book chart record amid ...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>They are planning BLM style protests in Westmi...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>Many young activists ignored BLM UK’s advice n...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>TheEconomist</td>\n",
              "      <td>“The general public has become a bit exhausted...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>Reuters</td>\n",
              "      <td>Motor racing: McLaren's Norris loses followers...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>guardian</td>\n",
              "      <td>Guardian front page, Thursday 30 July 2020: Yo...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>guardian</td>\n",
              "      <td>‘I want to stand up to Trump’: Portland protes...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>guardian</td>\n",
              "      <td>NSW police chief undermined legal challenge to...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>guardian</td>\n",
              "      <td>'Wall of Moms' protect Portland's BLM proteste...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>guardian</td>\n",
              "      <td>Thousands march through Brighton to support BL...</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "           Name                                               Text\n",
              "0       BBCNews  Reni Eddo-Lodge breaks book chart record amid ...\n",
              "1  TheEconomist  They are planning BLM style protests in Westmi...\n",
              "2  TheEconomist  Many young activists ignored BLM UK’s advice n...\n",
              "3  TheEconomist  “The general public has become a bit exhausted...\n",
              "4       Reuters  Motor racing: McLaren's Norris loses followers...\n",
              "5      guardian  Guardian front page, Thursday 30 July 2020: Yo...\n",
              "6      guardian  ‘I want to stand up to Trump’: Portland protes...\n",
              "7      guardian  NSW police chief undermined legal challenge to...\n",
              "8      guardian  'Wall of Moms' protect Portland's BLM proteste...\n",
              "9      guardian  Thousands march through Brighton to support BL..."
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 64
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9Up1ESZMIPvp",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 185
        },
        "outputId": "bdd6af5a-0d90-4c2a-bc8d-25d865a43841"
      },
      "source": [
        "list(blm_news_new[blm_news_new['Name']=='guardian']['Text'])[:10]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "['Guardian front page, Thursday 30 July 2020: Young, British and Black – voices of the BLM generation ',\n",
              " '‘I want to stand up to Trump’: Portland protesters unleash fury over BLM, Covid-19 and economy ',\n",
              " 'NSW police chief undermined legal challenge to BLM protest planned for Sydney, organisers say ',\n",
              " \"'Wall of Moms' protect Portland's BLM protesters – video \",\n",
              " 'Thousands march through Brighton to support BLM movement ',\n",
              " 'Police tell woman to cover up anti-Boris Johnson T-shirt during BLM protest – video ',\n",
              " 'Australian journalist tells US inquiry she was beaten by police at BLM protest ',\n",
              " 'Beyoncé and Alicia Keys pay tribute to BLM movement at 2020 BET Awards – video highlights ',\n",
              " 'BLM protests prompt Edinburgh to reassess fate of golliwog mural ',\n",
              " 'Dean Smith says he fully supports Tyrone Mings going on BLM march ']"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 70
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T1j0vP5bpjLW",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "606e6afc-6063-4afe-a3f1-5e2095043d97"
      },
      "source": [
        "news_list=list(blm_news_new.Name.unique())\n",
        "polarities=[]\n",
        "for i in news_list:\n",
        "  x=[TextBlob(text).sentiment.polarity for text in list(blm_news_new[blm_news_new['Name']==i]['Text'])] \n",
        "  polarities.append(x)\n",
        "len(news_list)\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "14"
            ]
          },
          "metadata": {
            "tags": []
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          "execution_count": 88
        }
      ]
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    {
      "cell_type": "code",
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        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "outputId": "0f1da04d-1621-4f41-9bf0-eaa22609f28a"
      },
      "source": [
        "fig = make_subplots(rows=2, cols=7,subplot_titles=news_list)\n",
        "traces=[]\n",
        "for i in news_list:\n",
        "  trace = go.Histogram(x=polarities[news_list.index(i)],name=i)\n",
        "  traces.append(trace)\n",
        "fig.append_trace(traces[0], 1, 1)\n",
        "fig.append_trace(traces[1], 1, 2)\n",
        "fig.append_trace(traces[2], 1, 3)\n",
        "fig.append_trace(traces[3], 1, 4)\n",
        "fig.append_trace(traces[4], 1, 5)\n",
        "fig.append_trace(traces[5], 1, 6)\n",
        "fig.append_trace(traces[6], 1,7)\n",
        "fig.append_trace(traces[7], 2,1)\n",
        "fig.append_trace(traces[8], 2,2)\n",
        "fig.append_trace(traces[9], 2,3)\n",
        "fig.append_trace(traces[10], 2,4)\n",
        "fig.append_trace(traces[11], 2,5)\n",
        "fig.append_trace(traces[12], 2,6)\n",
        "fig.append_trace(traces[13], 2,7)\n",
        "fig.update_layout( title_text=\"Individual Sentiment Score for News Channel Tweets\")\n",
        "fig.write_html(\"news_tweet_sent_analysis.html\")\n",
        "fig.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
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