Cricket_2023.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"provenance":[],"authorship_tag":"ABX9TyOIX2WL2wChvadx1+4Nb3JM"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"code","execution_count":null,"metadata":{"id":"oOrhuDsCycn2"},"outputs":[],"source":["#import all libraries and dependencies\n","import pandas as pd\n","import numpy as np\n","import matplotlib.pyplot as plt\n","import seaborn as sns\n","import matplotlib.ticker as ticker\n","import matplotlib.ticker as plticker\n","import warnings\n","warnings.filterwarnings('ignore')"]},{"cell_type":"code","source":["from google.colab import drive\n","drive.mount('/content/drive')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"7S6D6NT0CgYw","executionInfo":{"status":"ok","timestamp":1701461693472,"user_tz":300,"elapsed":17826,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"9257562c-4c9a-40bf-e5b5-d90675634b16"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Mounted at /content/drive\n"]}]},{"cell_type":"code","source":["#load data\n","world_cup = pd.read_csv('/content/drive/MyDrive/cap/cwc-world-cup-prediction-data-set/World_cup_2023.csv')\n","results = pd.read_csv('/content/drive/MyDrive/cap/cwc-world-cup-prediction-data-set/results.csv')"],"metadata":{"id":"z9E-SgipyijB"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["world_cup.head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":241},"id":"S63SRqr0yl-q","executionInfo":{"status":"ok","timestamp":1701461702321,"user_tz":300,"elapsed":262,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"0bfb77d1-2f79-4ea8-833b-a42dec62fc47"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["      Team_name  Team_ranking  Titles  Win_percentage_ODI  WC_matches  \\\n","0     Australia             1       5               60.73          94   \n","1      Pakistan             2       1               52.78          79   \n","2         India             3       2               52.38          84   \n","3  New Zealand              4       0               45.89          89   \n","4       England             5       1               50.32          83   \n","\n","   WC_match_won  Win_percent_WC  WC_match_loss  Loss_percent_WC  Tied  \\\n","0            69           73.40             23            24.46     1   \n","1            45           56.96             32            40.50     0   \n","2            53           63.09             29            34.52     1   \n","3            54           60.67             33            37.07     1   \n","4            48           57.83             32            38.55     2   \n","\n","   No_result World_cup_winner  Recent_points  Rating  \n","0          1              Yes           2714     118  \n","1          2              Yes           2316     116  \n","2          1              Yes           3807     115  \n","3          1               No           2806     104  \n","4          1              Yes           2426     101  "],"text/html":["\n","  <div id=\"df-cc8496d6-b7df-45d9-b265-ec715432cca7\" class=\"colab-df-container\">\n","    <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>Team_name</th>\n","      <th>Team_ranking</th>\n","      <th>Titles</th>\n","      <th>Win_percentage_ODI</th>\n","      <th>WC_matches</th>\n","      <th>WC_match_won</th>\n","      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<td>38.55</td>\n","      <td>2</td>\n","      <td>1</td>\n","      <td>Yes</td>\n","      <td>2426</td>\n","      <td>101</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-cc8496d6-b7df-45d9-b265-ec715432cca7')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n","  </svg>\n","    </button>\n","\n","  <style>\n","    .colab-df-container {\n","      display:flex;\n","      gap: 12px;\n","    }\n","\n","    .colab-df-convert {\n","      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Visit the ' +\n","          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n","          + ' to learn more about interactive tables.';\n","        element.innerHTML = '';\n","        dataTable['output_type'] = 'display_data';\n","        await google.colab.output.renderOutput(dataTable, element);\n","        const docLink = document.createElement('div');\n","        docLink.innerHTML = docLinkHtml;\n","        element.appendChild(docLink);\n","      }\n","    </script>\n","  </div>\n","\n","\n","<div id=\"df-5b731103-4f1d-4719-98a9-089265eebe4e\">\n","  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-5b731103-4f1d-4719-98a9-089265eebe4e')\"\n","            title=\"Suggest charts\"\n","            style=\"display:none;\">\n","\n","<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","     width=\"24px\">\n","    <g>\n","        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n","    </g>\n","</svg>\n","  </button>\n","\n","<style>\n","  .colab-df-quickchart {\n","      --bg-color: #E8F0FE;\n","      --fill-color: #1967D2;\n","      --hover-bg-color: #E2EBFA;\n","      --hover-fill-color: #174EA6;\n","      --disabled-fill-color: #AAA;\n","      --disabled-bg-color: #DDD;\n","  }\n","\n","  [theme=dark] .colab-df-quickchart {\n","      --bg-color: #3B4455;\n","      --fill-color: #D2E3FC;\n","      --hover-bg-color: #434B5C;\n","      --hover-fill-color: #FFFFFF;\n","      --disabled-bg-color: #3B4455;\n","      --disabled-fill-color: #666;\n","  }\n","\n","  .colab-df-quickchart {\n","    background-color: var(--bg-color);\n","    border: none;\n","    border-radius: 50%;\n","    cursor: pointer;\n","    display: none;\n","    fill: var(--fill-color);\n","    height: 32px;\n","    padding: 0;\n","    width: 32px;\n","  }\n","\n","  .colab-df-quickchart:hover {\n","    background-color: var(--hover-bg-color);\n","    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n","    fill: var(--button-hover-fill-color);\n","  }\n","\n","  .colab-df-quickchart-complete:disabled,\n","  .colab-df-quickchart-complete:disabled:hover {\n","    background-color: var(--disabled-bg-color);\n","    fill: var(--disabled-fill-color);\n","    box-shadow: none;\n","  }\n","\n","  .colab-df-spinner {\n","    border: 2px solid var(--fill-color);\n","    border-color: transparent;\n","    border-bottom-color: var(--fill-color);\n","    animation:\n","      spin 1s steps(1) infinite;\n","  }\n","\n","  @keyframes spin {\n","    0% {\n","      border-color: transparent;\n","      border-bottom-color: var(--fill-color);\n","      border-left-color: var(--fill-color);\n","    }\n","    20% {\n","      border-color: transparent;\n","      border-left-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","    }\n","    30% {\n","      border-color: transparent;\n","      border-left-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","      border-right-color: var(--fill-color);\n","    }\n","    40% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","    }\n","    60% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","    }\n","    80% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","      border-bottom-color: var(--fill-color);\n","    }\n","    90% {\n","      border-color: transparent;\n","      border-bottom-color: var(--fill-color);\n","    }\n","  }\n","</style>\n","\n","  <script>\n","    async function quickchart(key) {\n","      const quickchartButtonEl =\n","        document.querySelector('#' + key + ' button');\n","      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n","      quickchartButtonEl.classList.add('colab-df-spinner');\n","      try {\n","        const charts = await google.colab.kernel.invokeFunction(\n","            'suggestCharts', [key], {});\n","      } catch (error) {\n","        console.error('Error during call to suggestCharts:', error);\n","      }\n","      quickchartButtonEl.classList.remove('colab-df-spinner');\n","      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n","    }\n","    (() => {\n","      let quickchartButtonEl =\n","        document.querySelector('#df-5b731103-4f1d-4719-98a9-089265eebe4e button');\n","      quickchartButtonEl.style.display =\n","        google.colab.kernel.accessAllowed ? 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Group A     NaN  \n","3                        Arun Jaitley Stadium, Delhi  Group A     NaN  \n","4                    MA Chidambaram Stadium, Chennai  Group A     NaN  "],"text/html":["\n","  <div id=\"df-d096b5e5-ed66-44df-97d3-57458704da07\" class=\"colab-df-container\">\n","    <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>Round_number</th>\n","      <th>Team_1</th>\n","      <th>Team_2</th>\n","      <th>Date</th>\n","      <th>Location</th>\n","      <th>Group</th>\n","      <th>Result</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>1</td>\n","      <td>England</td>\n","      <td>New Zealand</td>\n","      <td>5/10/2023</td>\n","      <td>Narendra Modi Stadium, Ahmedabad</td>\n","      <td>Group A</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>1</td>\n","      <td>Pakistan</td>\n","      <td>Netherlands</td>\n","      <td>6/10/2023</td>\n","      <td>Rajiv Gandhi International Stadium, Hyderabad</td>\n","      <td>Group A</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>1</td>\n","      <td>Bangladesh</td>\n","      <td>Afghanistan</td>\n","      <td>7/10/2023</td>\n","      <td>Himachal Pradesh Cricket Association Stadium, ...</td>\n","      <td>Group A</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>1</td>\n","      <td>South Africa</td>\n","      <td>Sri Lanka</td>\n","      <td>7/10/2023</td>\n","      <td>Arun Jaitley Stadium, Delhi</td>\n","      <td>Group A</td>\n","      <td>NaN</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>1</td>\n","      <td>India</td>\n","      <td>Australia</td>\n","      <td>8/10/2023</td>\n","      <td>MA Chidambaram Stadium, Chennai</td>\n","      <td>Group A</td>\n","      <td>NaN</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-d096b5e5-ed66-44df-97d3-57458704da07')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n","  </svg>\n","    </button>\n","\n","  <style>\n","    .colab-df-container {\n","      display:flex;\n","      gap: 12px;\n","    }\n","\n","    .colab-df-convert {\n","      background-color: #E8F0FE;\n","      border: none;\n","      border-radius: 50%;\n","      cursor: pointer;\n","      display: none;\n","      fill: #1967D2;\n","      height: 32px;\n","      padding: 0 0 0 0;\n","      width: 32px;\n","    }\n","\n","    .colab-df-convert:hover {\n","      background-color: #E2EBFA;\n","      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n","      fill: #174EA6;\n","    }\n","\n","    .colab-df-buttons div {\n","      margin-bottom: 4px;\n","    }\n","\n","    [theme=dark] .colab-df-convert {\n","      background-color: #3B4455;\n","      fill: #D2E3FC;\n","    }\n","\n","    [theme=dark] .colab-df-convert:hover {\n","      background-color: #434B5C;\n","      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n","      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n","      fill: #FFFFFF;\n","    }\n","  </style>\n","\n","    <script>\n","      const buttonEl =\n","        document.querySelector('#df-d096b5e5-ed66-44df-97d3-57458704da07 button.colab-df-convert');\n","      buttonEl.style.display =\n","        google.colab.kernel.accessAllowed ? 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Visit the ' +\n","          '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n","          + ' to learn more about interactive tables.';\n","        element.innerHTML = '';\n","        dataTable['output_type'] = 'display_data';\n","        await google.colab.output.renderOutput(dataTable, element);\n","        const docLink = document.createElement('div');\n","        docLink.innerHTML = docLinkHtml;\n","        element.appendChild(docLink);\n","      }\n","    </script>\n","  </div>\n","\n","\n","<div id=\"df-7dfbdb95-284e-4dd6-83b9-013817e75fe4\">\n","  <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-7dfbdb95-284e-4dd6-83b9-013817e75fe4')\"\n","            title=\"Suggest charts\"\n","            style=\"display:none;\">\n","\n","<svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","     width=\"24px\">\n","    <g>\n","        <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n","    </g>\n","</svg>\n","  </button>\n","\n","<style>\n","  .colab-df-quickchart {\n","      --bg-color: #E8F0FE;\n","      --fill-color: #1967D2;\n","      --hover-bg-color: #E2EBFA;\n","      --hover-fill-color: #174EA6;\n","      --disabled-fill-color: #AAA;\n","      --disabled-bg-color: #DDD;\n","  }\n","\n","  [theme=dark] .colab-df-quickchart {\n","      --bg-color: #3B4455;\n","      --fill-color: #D2E3FC;\n","      --hover-bg-color: #434B5C;\n","      --hover-fill-color: #FFFFFF;\n","      --disabled-bg-color: #3B4455;\n","      --disabled-fill-color: #666;\n","  }\n","\n","  .colab-df-quickchart {\n","    background-color: var(--bg-color);\n","    border: none;\n","    border-radius: 50%;\n","    cursor: pointer;\n","    display: none;\n","    fill: var(--fill-color);\n","    height: 32px;\n","    padding: 0;\n","    width: 32px;\n","  }\n","\n","  .colab-df-quickchart:hover {\n","    background-color: var(--hover-bg-color);\n","    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n","    fill: var(--button-hover-fill-color);\n","  }\n","\n","  .colab-df-quickchart-complete:disabled,\n","  .colab-df-quickchart-complete:disabled:hover {\n","    background-color: var(--disabled-bg-color);\n","    fill: var(--disabled-fill-color);\n","    box-shadow: none;\n","  }\n","\n","  .colab-df-spinner {\n","    border: 2px solid var(--fill-color);\n","    border-color: transparent;\n","    border-bottom-color: var(--fill-color);\n","    animation:\n","      spin 1s steps(1) infinite;\n","  }\n","\n","  @keyframes spin {\n","    0% {\n","      border-color: transparent;\n","      border-bottom-color: var(--fill-color);\n","      border-left-color: var(--fill-color);\n","    }\n","    20% {\n","      border-color: transparent;\n","      border-left-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","    }\n","    30% {\n","      border-color: transparent;\n","      border-left-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","      border-right-color: var(--fill-color);\n","    }\n","    40% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","      border-top-color: var(--fill-color);\n","    }\n","    60% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","    }\n","    80% {\n","      border-color: transparent;\n","      border-right-color: var(--fill-color);\n","      border-bottom-color: var(--fill-color);\n","    }\n","    90% {\n","      border-color: transparent;\n","      border-bottom-color: var(--fill-color);\n","    }\n","  }\n","</style>\n","\n","  <script>\n","    async function quickchart(key) {\n","      const quickchartButtonEl =\n","        document.querySelector('#' + key + ' button');\n","      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n","      quickchartButtonEl.classList.add('colab-df-spinner');\n","      try {\n","        const charts = await google.colab.kernel.invokeFunction(\n","            'suggestCharts', [key], {});\n","      } catch (error) {\n","        console.error('Error during call to suggestCharts:', error);\n","      }\n","      quickchartButtonEl.classList.remove('colab-df-spinner');\n","      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n","    }\n","    (() => {\n","      let quickchartButtonEl =\n","        document.querySelector('#df-7dfbdb95-284e-4dd6-83b9-013817e75fe4 button');\n","      quickchartButtonEl.style.display =\n","        google.colab.kernel.accessAllowed ? 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0\n","Win_percent_WC        0\n","WC_match_loss         0\n","Loss_percent_WC       0\n","Tied                  0\n","No_result             0\n","World_cup_winner      0\n","Recent_points         0\n","Rating                0\n","dtype: int64\n","date       0\n","Team_1     0\n","Team_2     0\n","Winner     0\n","Margin    49\n","Ground     0\n","dtype: int64\n","Team_ranking    0\n","Team_name       0\n","Rating          0\n","dtype: int64\n","Round_number     0\n","Team_1           0\n","Team_2           0\n","Date             0\n","Location         0\n","Group            3\n","Result          48\n","dtype: int64\n"]}]},{"cell_type":"code","source":["# Data Exploration:\n","# Summary statistics for numerical columns\n","world_cup.describe()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":317},"id":"RcBb1GQvF0qD","executionInfo":{"status":"ok","timestamp":1701461706493,"user_tz":300,"elapsed":164,"user":{"displayName":"sumedha 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Loss_percent_WC       Tied  No_result  \\\n","count       10.000000      10.000000        10.000000  10.000000  10.000000   \n","mean        47.048000      26.800000        50.561000   0.800000   1.000000   \n","std         22.737065       7.598245        23.829437   0.788811   0.666667   \n","min          6.660000      14.000000        24.460000   0.000000   0.000000   \n","25%         38.125000      23.000000        36.215000   0.000000   1.000000   \n","50%         57.395000      27.000000        39.525000   1.000000   1.000000   \n","75%         60.345000      32.000000        59.062500   1.000000   1.000000   \n","max         73.400000      39.000000        93.330000   2.000000   2.000000   \n","\n","       Recent_points      Rating  \n","count      10.000000   10.000000  \n","mean     2362.900000   96.800000  \n","std       785.510655   23.436913  \n","min      1044.000000   37.000000  \n","25%      2011.500000   92.750000  \n","50%      2438.500000  101.000000  \n","75%      2774.000000  112.250000  \n","max      3807.000000  118.000000  "],"text/html":["\n","  <div id=\"df-b425e14d-07a6-4f91-b234-d06dceb99b5a\" class=\"colab-df-container\">\n","    <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>Team_ranking</th>\n","      <th>Titles</th>\n","      <th>Win_percentage_ODI</th>\n","      <th>WC_matches</th>\n","      <th>WC_match_won</th>\n","      <th>Win_percent_WC</th>\n","      <th>WC_match_loss</th>\n","      <th>Loss_percent_WC</th>\n","      <th>Tied</th>\n","      <th>No_result</th>\n","      <th>Recent_points</th>\n","      <th>Rating</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>count</th>\n","      <td>10.00000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","      <td>10.000000</td>\n","    </tr>\n","    <tr>\n","      <th>mean</th>\n","      <td>5.50000</td>\n","      <td>1.000000</td>\n","      <td>48.935000</td>\n","      <td>64.800000</td>\n","      <td>36.200000</td>\n","      <td>47.048000</td>\n","      <td>26.800000</td>\n","      <td>50.561000</td>\n","      <td>0.800000</td>\n","      <td>1.000000</td>\n","      <td>2362.900000</td>\n","      <td>96.800000</td>\n","    </tr>\n","    <tr>\n","      <th>std</th>\n","      <td>3.02765</td>\n","      <td>1.563472</td>\n","      <td>8.825435</td>\n","      <td>29.199696</td>\n","      <td>23.093048</td>\n","      <td>22.737065</td>\n","      <td>7.598245</td>\n","      <td>23.829437</td>\n","      <td>0.788811</td>\n","      <td>0.666667</td>\n","      <td>785.510655</td>\n","      <td>23.436913</td>\n","    </tr>\n","    <tr>\n","      <th>min</th>\n","      <td>1.00000</td>\n","      <td>0.000000</td>\n","      <td>34.210000</td>\n","      <td>15.000000</td>\n","      <td>1.000000</td>\n","      <td>6.660000</td>\n","      <td>14.000000</td>\n","      <td>24.460000</td>\n","      <td>0.000000</td>\n","      <td>0.000000</td>\n","      <td>1044.000000</td>\n","      <td>37.000000</td>\n","    </tr>\n","    <tr>\n","      <th>25%</th>\n","      <td>3.25000</td>\n","      <td>0.000000</td>\n","      <td>45.777500</td>\n","      <td>46.000000</td>\n","      <td>20.000000</td>\n","      <td>38.125000</td>\n","      <td>23.000000</td>\n","      <td>36.215000</td>\n","      <td>0.000000</td>\n","      <td>1.000000</td>\n","      <td>2011.500000</td>\n","      <td>92.750000</td>\n","    </tr>\n","    <tr>\n","      <th>50%</th>\n","      <td>5.50000</td>\n","      <td>0.500000</td>\n","      <td>49.985000</td>\n","      <td>79.500000</td>\n","      <td>41.500000</td>\n","      <td>57.395000</td>\n","      <td>27.000000</td>\n","      <td>39.525000</td>\n","      <td>1.000000</td>\n","      <td>1.000000</td>\n","      <td>2438.500000</td>\n","      <td>101.000000</td>\n","    </tr>\n","    <tr>\n","      <th>75%</th>\n","      <td>7.75000</td>\n","      <td>1.000000</td>\n","      <td>52.680000</td>\n","      <td>83.750000</td>\n","      <td>51.750000</td>\n","      <td>60.345000</td>\n","      <td>32.000000</td>\n","      <td>59.062500</td>\n","      <td>1.000000</td>\n","      <td>1.000000</td>\n","      <td>2774.000000</td>\n","      <td>112.250000</td>\n","    </tr>\n","    <tr>\n","      <th>max</th>\n","      <td>10.00000</td>\n","      <td>5.000000</td>\n","      <td>61.000000</td>\n","      <td>94.000000</td>\n","      <td>69.000000</td>\n","      <td>73.400000</td>\n","      <td>39.000000</td>\n","      <td>93.330000</td>\n","      <td>2.000000</td>\n","      <td>2.000000</td>\n","      <td>3807.000000</td>\n","      <td>118.000000</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-b425e14d-07a6-4f91-b234-d06dceb99b5a')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n","  </svg>\n","    </button>\n","\n","  <style>\n","    .colab-df-container {\n","      display:flex;\n","      gap: 12px;\n","    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dhannapuneni","userId":"13146946514903908766"}},"outputId":"101f33d9-c35c-4c5b-a172-3d7447b9117a"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}}]},{"cell_type":"markdown","source":["##No.of titles won by each teams"],"metadata":{"id":"dwyYy9BnQjki"}},{"cell_type":"code","source":["# Set the figure size using sns.set\n","sns.set(rc={'figure.figsize':(20, 5)})\n","\n","# Create a bar plot using sns.barplot to visualize team titles\n","sns.barplot(x='Team_name', y='Titles', data=world_cup)\n","\n","# Display the plot\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":388},"id":"6tLov2FnQzPZ","executionInfo":{"status":"ok","timestamp":1701465779656,"user_tz":300,"elapsed":508,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"2ce52c98-0b8a-4343-becf-ba11e64ea40c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2000x500 with 1 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matches won in world cup by each team"],"metadata":{"id":"RRcYDjeKRL2J"}},{"cell_type":"code","source":["# Set the figure size for the bar plot using Seaborn\n","sns.set(rc={'figure.figsize':(20, 5)})\n","\n","# Create a bar plot using Seaborn\n","sns.barplot(x='Team_name', y='WC_match_won', data=world_cup)\n","\n","# Display the plot\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":386},"id":"ZFI492CvRIBn","executionInfo":{"status":"ok","timestamp":1701465860393,"user_tz":300,"elapsed":857,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"7a277ac5-06ec-4fec-be85-a1cf8bb0eab8"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 2000x500 with 1 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Rankings Data:\n","# Distribution of team positions\n","sns.barplot(x='Team_ranking', y='Rating', data=ranking, palette='viridis')\n","plt.title('Distribution of Team Positions and Points')\n","plt.xlabel('Position')\n","plt.ylabel('Points')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"R_YPXCIqGEGI","executionInfo":{"status":"ok","timestamp":1701461707482,"user_tz":300,"elapsed":181,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"8112ade9-b06b-49aa-99f1-04a25623d508"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["#  Fixtures Data:\n","# Number of matches in each round\n","sns.countplot(x='Round_number', data=fixtures, palette='muted')\n","plt.title('Number of Matches in Each Round')\n","plt.xlabel('Round Number')\n","plt.ylabel('Number of Matches')\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":472},"id":"dvyg07lwGHXM","executionInfo":{"status":"ok","timestamp":1701461709406,"user_tz":300,"elapsed":6,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"b1998af2-a440-40a0-baa6-25c2fe136a2e"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAjIAAAHHCAYAAACle7JuAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA+KUlEQVR4nO3deZzNdf//8ecZZjMbw5ghyzC2kD2SJTIa00aWuEoGk7o0spVQ9qt+li5lSaKrjBS6EFdkV5arJNuIixQJZd9mGAxm3r8/us35dprFOdMZZz487rfbud183p/3eX9e53zOmOe8P8uxGWOMAAAALMjL0wUAAADkFUEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGAABYFkEGcML69etls9m0cOFCT5filJMnT6pjx44qXry4bDabJk2a5OmS8sxms6lPnz6eLkO//PKLbDabEhMTPV3KX2K1z7K7jRo1SjabzdNlwI0IMigwEhMTZbPZ5Ofnp99++y3L+hYtWqhmzZoeqMx6BgwYoFWrVmno0KGaM2eO2rRpk2Nfm80mm82mZ599Ntv1r732mr3PmTNnXK5l+fLlGjVqlMvPuxO0aNHC/t7++VGtWjVPl5etzJ/TzEfhwoV11113qXv37tn+3AL5rbCnCwD+LC0tTePGjdPUqVM9XYplffnll2rbtq1efvllp/r7+flp0aJFevfdd+Xj4+Owbt68efLz89PVq1fzVMvy5cs1bdo0y4eZ8uXL68qVK/L29nbruGXKlNHYsWOztIeEhLh1O+42ZswYVahQQVevXtW3336rxMRE/fe//9WePXvk5+fn6fJwByHIoMCpU6eO3n//fQ0dOlSlS5f2dDm3VGpqqgICAv7yOKdOnVLRokWd7t+mTRt9/vnnWrFihdq2bWtv/+abb3To0CF16NBBixYt+st1WVnmbKG7hYSEqGvXrm4fN7/FxsaqQYMGkqRnn31WJUqU0Pjx4/X555/rySef9HB1uJNwaAkFzquvvqr09HSNGzcu1365nbNgs9kcZgAyj4v/+OOP6tq1q0JCQhQWFqbhw4fLGKOjR4+qbdu2Cg4OVkREhCZOnJjtNtPT0/Xqq68qIiJCAQEBevzxx3X06NEs/bZs2aI2bdooJCRERYoU0QMPPKCvv/7aoU9mTXv37tVTTz2lYsWKqWnTprm+5p9//lmdOnVSaGioihQpovvuu09ffPGFfX3mtL8xRtOmTbNP/9/MXXfdpebNm2vu3LkO7Z988onuueeebA/pbdq0SZ06dVK5cuXk6+ursmXLasCAAbpy5Yq9T/fu3TVt2jRJcjgckSkjI0OTJ0/WPffcIz8/P4WFhalNmzbatm1blu0tWbJENWvWlK+vr2rUqKGVK1dm6fPbb7+pZ8+eCg8Pt/f78MMPs/SbOnWqatSooSJFiqhYsWJq0KBBltf+Z9l93rp3767AwED99ttvateunQIDAxUWFqaXX35Z6enpuY7nisOHD+uFF15Q1apV5e/vr+LFi6tTp0765ZdfsvS9cOGCBgwYoMjISPn6+qpMmTLq1q1blsOCGRkZeuONN1SmTBn5+fmpVatWOnDgQJ5rbNasmSTp4MGDDu1ffvmlmjVrpoCAABUtWlRt27bVvn37HPp0795dkZGRWcbM7nyWzHOmnPk8/Pe//9W9994rPz8/RUVFacaMGXl+fSi4mJFBgVOhQgV169ZN77//voYMGeLWWZnOnTvr7rvv1rhx4/TFF1/o9ddfV2hoqGbMmKEHH3xQ48eP1yeffKKXX35Z9957r5o3b+7w/DfeeEM2m02DBw/WqVOnNGnSJEVHRyspKUn+/v6Sfv+POzY2VvXr19fIkSPl5eWlWbNm6cEHH9SmTZvUsGFDhzE7deqkypUr6//9v/8nY0yOtZ88eVL333+/Ll++rL59+6p48eKaPXu2Hn/8cS1cuFBPPPGEmjdvrjlz5uiZZ55R69at1a1bN6ffm6eeekr9+vXTpUuXFBgYqBs3bmjBggUaOHBgtoeVFixYoMuXL6t3794qXry4vvvuO02dOlW//vqrFixYIEl6/vnndezYMa1Zs0Zz5szJMkZ8fLwSExMVGxurZ599Vjdu3NCmTZv07bff2v/al37/hfTZZ5/phRdeUFBQkKZMmaIOHTroyJEjKl68uP39ue++++y/6MLCwrRixQrFx8crJSVF/fv3lyS9//776tu3rzp27Kh+/frp6tWr+v7777VlyxY99dRTTr9fmdLT0xUTE6NGjRrpn//8p9auXauJEycqKipKvXv3dur52Z175O/vb5+d27p1q7755ht16dJFZcqU0S+//KLp06erRYsW2rt3r4oUKSJJunTpkpo1a6Z9+/apZ8+eqlevns6cOaPPP/9cv/76q0qUKGEff9y4cfLy8tLLL7+s5ORkTZgwQU8//bS2bNni8nsgyR6qihUrZm9bu3atYmNjVbFiRY0aNUpXrlzR1KlT1aRJE+3YsSPb8OIMZz4Pu3fv1kMPPaSwsDCNGjVKN27c0MiRIxUeHp6nbaIAM0ABMWvWLCPJbN261Rw8eNAULlzY9O3b177+gQceMDVq1LAvHzp0yEgys2bNyjKWJDNy5Ej78siRI40k89xzz9nbbty4YcqUKWNsNpsZN26cvf38+fPG39/fxMXF2du++uorI8ncddddJiUlxd7+73//20gykydPNsYYk5GRYSpXrmxiYmJMRkaGvd/ly5dNhQoVTOvWrbPU9Le//c2p96d///5Gktm0aZO97eLFi6ZChQomMjLSpKenO7z+hIQEp8bN7Hvu3Dnj4+Nj5syZY4wx5osvvjA2m8388ssv9lpPnz7t8Jr+bOzYscZms5nDhw/b2xISEkx2/9V8+eWXRpLDPs70x/dOkvHx8TEHDhywt+3atctIMlOnTrW3xcfHm1KlSpkzZ844jNWlSxcTEhJir7dt27YOnyNnZfd5i4uLM5LMmDFjHPrWrVvX1K9f/6ZjPvDAA0ZSto/nn3/e3i+793rz5s1Gkvnoo4/sbSNGjDCSzGeffZalf+Z7mvlZvvvuu01aWpp9/eTJk40ks3v37lxrzvw5Xbt2rTl9+rQ5evSoWbhwoQkLCzO+vr7m6NGj9r516tQxJUuWNGfPnrW37dq1y3h5eZlu3brZ2+Li4kz58uWzbCvzc/dHzn4e2rVrZ/z8/Bw+i3v37jWFChXK9vMI6+LQEgqkihUr6plnntHMmTN1/Phxt437xytzChUqpAYNGsgYo/j4eHt70aJFVbVqVf38889Znt+tWzcFBQXZlzt27KhSpUpp+fLlkqSkpCT99NNPeuqpp3T27FmdOXNGZ86cUWpqqlq1aqWNGzcqIyPDYcy///3vTtW+fPlyNWzY0OHwU2BgoJ577jn98ssv2rt3r3NvQg6KFSumNm3aaN68eZKkuXPn6v7771f58uWz7Z85AyX9fm7PmTNndP/998sYo507d950e4sWLZLNZtPIkSOzrPvz4YTo6GhFRUXZl2vVqqXg4GD7PjLGaNGiRXrsscdkjLG/72fOnFFMTIySk5O1Y8cOSb/v319//VVbt269aY3O+vM+bNasWbafn+xERkZqzZo1WR6ZM0iS43t9/fp1nT17VpUqVVLRokXtr0v6/T2tXbu2nnjiiSzb+fN72qNHD4cTuzMPDTlbd3R0tMLCwlS2bFl17NhRAQEB+vzzz1WmTBlJ0vHjx5WUlKTu3bsrNDTU/rxatWqpdevW9p+ZvLjZ5yE9PV2rVq1Su3btVK5cOXu/u+++WzExMXneLgomggwKrGHDhunGjRs3PVfGFX/8T036/URLPz8/hyn3zPbz589neX7lypUdlm02mypVqmSfVv/pp58kSXFxcQoLC3N4/Otf/1JaWpqSk5MdxqhQoYJTtR8+fFhVq1bN0n733Xfb1/9VTz31lNasWaMjR45oyZIluR5qOXLkiP2XVOa5IQ888IAkZXmN2Tl48KBKly7t8EsuJ3/eb9LvwStzH50+fVoXLlzQzJkzs7zvPXr0kPT7CdCSNHjwYAUGBqphw4aqXLmyEhISspy/5IrMc3tyqu1mAgICFB0dneXxx8uvr1y5ohEjRqhs2bLy9fVViRIlFBYWpgsXLji81wcPHnT6FgV/fk8zDwk5W/e0adO0Zs0aLVy4UA8//LDOnDkjX19f+/rMz2NOn9nMgJ8Xznwerly5kuXnNad6YG2cI4MCq2LFiuratatmzpypIUOGZFmf00msuZ1kWahQIafaJOV6vkpOMmdb3nzzTdWpUyfbPoGBgQ7Lf/xr29Mef/xx+fr6Ki4uTmlpaTlefZKenq7WrVvr3LlzGjx4sKpVq6aAgAD99ttv6t69e5ZZp7/qZvsoc3tdu3ZVXFxctn1r1aol6fdfovv379eyZcu0cuVK+2XnI0aM0OjRo91Wmzu9+OKLmjVrlvr376/GjRsrJCRENptNXbp0yfN7/Vc/9w0bNrSfx9SuXTs1bdpUTz31lPbv35/lM34zrv4su/NnFtZHkEGBNmzYMH388ccaP358lnWZf0FeuHDBod0dMxM5yZxxyWSM0YEDB+y/JDOnu4ODgxUdHe3WbZcvX1779+/P0v7DDz/Y1/9V/v7+ateunT7++GPFxsZmmanKtHv3bv3444+aPXu2wwnFa9asydI3p19SUVFRWrVqlc6dO+fUrExuwsLCFBQUpPT0dKfe94CAAHXu3FmdO3fWtWvX1L59e73xxhsaOnRogbwHysKFCxUXF+dwNd3Vq1ezfPajoqK0Z8+eW1zd78Fi7Nixatmypd555x0NGTLE/nnM6TNbokQJ+8nMxYoVy/JapLz/LIeFhcnf3z/Lz2tO9cDaOLSEAi0qKkpdu3bVjBkzdOLECYd1wcHBKlGihDZu3OjQ/u677+ZbPR999JEuXrxoX164cKGOHz+u2NhYSVL9+vUVFRWlf/7zn7p06VKW558+fTrP23744Yf13XffafPmzfa21NRUzZw5U5GRkapevXqex/6jl19+WSNHjtTw4cNz7JP5F/Ef/wI2xmjy5MlZ+mb+svrzL6oOHTrIGJPtLIirf1kXKlTIfq+b7H6R//F9P3v2rMM6Hx8fVa9eXcYYXb9+3aXt3iqFChXK8p5MnTo1y4xFhw4dtGvXLi1evDjLGPk9W9GiRQs1bNhQkyZN0tWrV1WqVCnVqVNHs2fPdtj3e/bs0erVq/Xwww/b26KiopScnKzvv//e3nb8+PFsX4czChUqpJiYGC1ZskRHjhyxt+/bt0+rVq3K05gouJiRQYH32muvac6cOdq/f79q1KjhsO7ZZ5/VuHHj9Oyzz6pBgwbauHGjfvzxx3yrJTQ0VE2bNlWPHj108uRJTZo0SZUqVVKvXr0kSV5eXvrXv/6l2NhY1ahRQz169NBdd92l3377TV999ZWCg4O1dOnSPG17yJAhmjdvnmJjY9W3b1+FhoZq9uzZOnTokBYtWiQvL/f8XVK7dm3Vrl071z7VqlVTVFSUXn75Zf32228KDg7WokWLsj2/on79+pKkvn37KiYmRoUKFVKXLl3UsmVLPfPMM5oyZYp++ukntWnTRhkZGdq0aZNatmzp8vcrjRs3Tl999ZUaNWqkXr16qXr16jp37px27NihtWvX6ty5c5Kkhx56SBEREWrSpInCw8O1b98+vfPOO3rkkUccTuS+VZKTk/Xxxx9nuy7zRnmPPvqo5syZo5CQEFWvXl2bN2/W2rVr7ZcaZxo0aJAWLlyoTp06qWfPnqpfv77OnTunzz//XO+9995N9+tfNWjQIHXq1EmJiYn6+9//rjfffFOxsbFq3Lix4uPj7Zdfh4SEONznqUuXLho8eLCeeOIJ9e3bV5cvX9b06dNVpUoVh5OZXTF69GitXLlSzZo10wsvvKAbN27Y7x/0x8CE28Ctv1AKyN4fL7/+s8zLXP982ezly5dNfHy8CQkJMUFBQebJJ580p06dyvHy6z9ePpw5bkBAQJbt/flS78xLVufNm2eGDh1qSpYsafz9/c0jjzzicHlnpp07d5r27dub4sWLG19fX1O+fHnz5JNPmnXr1t20ptwcPHjQdOzY0RQtWtT4+fmZhg0bmmXLlmXppzxcfp2b7Grdu3eviY6ONoGBgaZEiRKmV69e9stg/3iJ8o0bN8yLL75owsLCjM1mc7j09caNG+bNN9801apVMz4+PiYsLMzExsaa7du337S+8uXLO1wib4wxJ0+eNAkJCaZs2bLG29vbREREmFatWpmZM2fa+8yYMcM0b97cvm+ioqLMoEGDTHJycq7vQU6XX2f3+cnusuHs5Hb59R+ff/78edOjRw9TokQJExgYaGJiYswPP/yQ7Xtw9uxZ06dPH3PXXXcZHx8fU6ZMGRMXF2e/LD3zs7xgwYKbvr7s5PZzmp6ebqKiokxUVJS5ceOGMcaYtWvXmiZNmhh/f38THBxsHnvsMbN3794sz129erWpWbOm8fHxMVWrVjUff/xxjpdfO/t52LBhg6lfv77x8fExFStWNO+9957T+wbWYTOGs6MAAIA1cY4MAACwLIIMAACwLIIMAACwLIIMAACwLIIMAACwLIIMAACwrNv+hngZGRk6duyYgoKCcrxVOgAAKFiMMbp48aJKly6d6w0/b/sgc+zYMZUtW9bTZQAAgDw4evSoypQpk+P62z7IZN5y/OjRowoODvZwNQAAwBkpKSkqW7bsTb865LYPMpmHk4KDgwkyAABYzM1OC+FkXwAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFkEGQAAYFmFPV1AQfTUiPWeLgF/MHdMC0+XAAAooJiRAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAlkWQAQAAllVggsy4ceNks9nUv39/e9vVq1eVkJCg4sWLKzAwUB06dNDJkyc9VyQAAChQCkSQ2bp1q2bMmKFatWo5tA8YMEBLly7VggULtGHDBh07dkzt27f3UJUAAKCg8XiQuXTpkp5++mm9//77KlasmL09OTlZH3zwgd566y09+OCDql+/vmbNmqVvvvlG3377rQcrBgAABYXHg0xCQoIeeeQRRUdHO7Rv375d169fd2ivVq2aypUrp82bN+c4XlpamlJSUhweAADg9lTYkxufP3++duzYoa1bt2ZZd+LECfn4+Kho0aIO7eHh4Tpx4kSOY44dO1ajR492d6kAAKAA8tiMzNGjR9WvXz998skn8vPzc9u4Q4cOVXJysv1x9OhRt40NAAAKFo8Fme3bt+vUqVOqV6+eChcurMKFC2vDhg2aMmWKChcurPDwcF27dk0XLlxweN7JkycVERGR47i+vr4KDg52eAAAgNuTxw4ttWrVSrt373Zo69Gjh6pVq6bBgwerbNmy8vb21rp169ShQwdJ0v79+3XkyBE1btzYEyUDAIACxmNBJigoSDVr1nRoCwgIUPHixe3t8fHxGjhwoEJDQxUcHKwXX3xRjRs31n333eeJkgEAQAHj0ZN9b+btt9+Wl5eXOnTooLS0NMXExOjdd9/1dFkAAKCAKFBBZv369Q7Lfn5+mjZtmqZNm+aZggAAQIHm8fvIAAAA5BVBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWBZBBgAAWJbLQebKlSu6fPmyffnw4cOaNGmSVq9e7dbCAAAAbsblINO2bVt99NFHkqQLFy6oUaNGmjhxotq2bavp06e7vUAAAICcuBxkduzYoWbNmkmSFi5cqPDwcB0+fFgfffSRpkyZ4vYCAQAAcuJykLl8+bKCgoIkSatXr1b79u3l5eWl++67T4cPH3Z7gQAAADlxOchUqlRJS5Ys0dGjR7Vq1So99NBDkqRTp04pODjY7QUCAADkxOUgM2LECL388suKjIxUw4YN1bhxY0m/z87UrVvX7QUCAADkpLCrT+jYsaOaNm2q48ePq3bt2vb2Vq1a6YknnnBrcQAAALnJ031kIiIiFBQUpDVr1ujKlSuSpHvvvVfVqlVza3EAAAC5cTnInD17Vq1atVKVKlX08MMP6/jx45Kk+Ph4vfTSS24vEAAAICcuB5kBAwbI29tbR44cUZEiReztnTt31sqVK91aHAAAQG5cPkdm9erVWrVqlcqUKePQXrlyZS6/BgAAt5TLMzKpqakOMzGZzp07J19fX7cUBQAA4AyXg0yzZs3sX1EgSTabTRkZGZowYYJatmzp1uIAAABy43KQmTBhgmbOnKnY2Fhdu3ZNr7zyimrWrKmNGzdq/PjxLo01ffp01apVS8HBwQoODlbjxo21YsUK+/qrV68qISFBxYsXV2BgoDp06KCTJ0+6WjIAALhNuRxkatasqR9//FFNmzZV27ZtlZqaqvbt22vnzp2KiopyaawyZcpo3Lhx2r59u7Zt26YHH3xQbdu21f/+9z9Jv59YvHTpUi1YsEAbNmzQsWPH1L59e1dLBgAAtymbMcZ4uog/Cg0N1ZtvvqmOHTsqLCxMc+fOVceOHSVJP/zwg+6++25t3rxZ9913n1PjpaSkKCQkRMnJyU5/hcJTI9bntXzkg7ljWni6BADALebs72+Xr1qSpAsXLui7777TqVOnlJGR4bCuW7dueRlS6enpWrBggVJTU9W4cWNt375d169fV3R0tL1PtWrVVK5cuVyDTFpamtLS0uzLKSkpeaoHAAAUfC4HmaVLl+rpp5/WpUuXFBwcLJvNZl9ns9lcDjK7d+9W48aNdfXqVQUGBmrx4sWqXr26kpKS5OPjo6JFizr0Dw8P14kTJ3Icb+zYsRo9erRLNQAAAGty+RyZl156ST179tSlS5d04cIFnT9/3v44d+6cywVUrVpVSUlJ2rJli3r37q24uDjt3bvX5XEyDR06VMnJyfbH0aNH8zwWAAAo2Fyekfntt9/Ut2/fbO8lkxc+Pj6qVKmSJKl+/fraunWrJk+erM6dO+vatWu6cOGCw6zMyZMnFRERkeN4vr6+3M8GAIA7hMszMjExMdq2bVt+1CJJysjIUFpamurXry9vb2+tW7fOvm7//v06cuSIGjdunG/bBwAA1uHUjMznn39u//cjjzyiQYMGae/evbrnnnvk7e3t0Pfxxx93euNDhw5VbGysypUrp4sXL2ru3Llav369Vq1apZCQEMXHx2vgwIEKDQ1VcHCwXnzxRTVu3NjpK5YAAMDtzakg065duyxtY8aMydJms9mUnp7u9MZPnTqlbt266fjx4woJCVGtWrW0atUqtW7dWpL09ttvy8vLSx06dFBaWppiYmL07rvvOj0+AAC4vRW4+8i4G/eRsT7uIwMAdx5nf3+7fI4MAABAQeFykOnbt6+mTJmSpf2dd95R//793VETAACAU1wOMosWLVKTJk2ytN9///1auHChW4oCAABwhstB5uzZswoJCcnSHhwcrDNnzrilKAAAAGe4HGQqVaqklStXZmlfsWKFKlas6JaiAAAAnOHynX0HDhyoPn366PTp03rwwQclSevWrdPEiRM1adIkd9cHAACQI5eDTM+ePZWWlqY33nhD//jHPyRJkZGRmj59ep6/+RoAACAvXA4yktS7d2/17t1bp0+flr+/vwIDA91dFwAAwE25fI7Mgw8+qAsXLkiSwsLC7CEmJSXFfqgJAADgVnA5yKxfv17Xrl3L0n716lVt2rTJLUUBAAA4w+lDS99//73933v37tWJEyfsy+np6Vq5cqXuuusu91YHAACQC6eDTJ06dWSz2WSz2bI9hOTv76+pU6e6tTgAAIDcOB1kDh06JGOMKlasqO+++05hYWH2dT4+PipZsqQKFSqUL0UCAABkx+kgU758eUlSRkZGvhUDAADgijxdfi39fp7MkSNHspz4+/jjj//logAAAJzhcpD5+eef9cQTT2j37t2y2WwyxkiSbDabpN9P/AUAALgVXL78ul+/fqpQoYJOnTqlIkWK6H//+582btyoBg0aaP369flQIgAAQPZcnpHZvHmzvvzyS5UoUUJeXl7y8vJS06ZNNXbsWPXt21c7d+7MjzoBAACycHlGJj09XUFBQZKkEiVK6NixY5J+Pxl4//797q0OAAAgFy7PyNSsWVO7du1ShQoV1KhRI02YMEE+Pj6aOXOmKlasmB81AgAAZMvlIDNs2DClpqZKksaMGaNHH31UzZo1U/HixfXpp5+6vUAAAICcuBxkYmJi7P+uVKmSfvjhB507d07FihWzX7kEAABwK+T5PjJ/FBoa6o5hAAAAXOJ0kOnZs6dT/T788MM8FwMAAOAKp4NMYmKiypcvr7p169pvggcAAOBJTgeZ3r17a968eTp06JB69Oihrl27ckgJAAB4lNP3kZk2bZqOHz+uV155RUuXLlXZsmX15JNPatWqVczQAAAAj3Dphni+vr7629/+pjVr1mjv3r2qUaOGXnjhBUVGRurSpUv5VSMAAEC2XL6zr/2JXl72L43kiyIBAIAnuBRk0tLSNG/ePLVu3VpVqlTR7t279c477+jIkSMKDAzMrxoBAACy5fTJvi+88ILmz5+vsmXLqmfPnpo3b55KlCiRn7UBAADkyukg895776lcuXKqWLGiNmzYoA0bNmTb77PPPnNbcQAAALlxOsh069aNryAAAAAFiks3xAMAAChI8nzVEgAAgKcRZAAAgGURZAAAgGURZAAAgGU5FWTq1aun8+fPS5LGjBmjy5cv52tRAAAAznAqyOzbt0+pqamSpNGjR/O9SgAAoEBw6vLrOnXqqEePHmratKmMMfrnP/+Z41cSjBgxwq0FAgAA5MSpIJOYmKiRI0dq2bJlstlsWrFihQoXzvpUm81GkAEAALeMU0GmatWqmj9/vqTfv/V63bp1KlmyZL4WBgAAcDNO39k3U0ZGRn7UAQAA4DKXg4wkHTx4UJMmTdK+ffskSdWrV1e/fv0UFRXl1uIAAABy4/J9ZFatWqXq1avru+++U61atVSrVi1t2bJFNWrU0Jo1a/KjRgAAgGy5PCMzZMgQDRgwQOPGjcvSPnjwYLVu3dptxQEAAOTG5RmZffv2KT4+Pkt7z549tXfvXrcUBQAA4AyXg0xYWJiSkpKytCclJXElEwAAuKVcPrTUq1cvPffcc/r55591//33S5K+/vprjR8/XgMHDnR7gQAAADlxOcgMHz5cQUFBmjhxooYOHSpJKl26tEaNGqW+ffu6vUAAAICcuBxkbDabBgwYoAEDBujixYuSpKCgILcXBgAAcDN5uo9MJgIMAADwJJdP9gUAACgoCDIAAMCyCDIAAMCyXAoy169fV6tWrfTTTz/lVz0AAABOcynIeHt76/vvv8+vWgAAAFzi8qGlrl276oMPPsiPWgAAAFzi8uXXN27c0Icffqi1a9eqfv36CggIcFj/1ltvua04AACA3LgcZPbs2aN69epJkn788UeHdTabzT1VAQAAOMHlIPPVV1/lRx0AAAAuy/Pl1wcOHNCqVat05coVSZIxxm1FAQAAOMPlIHP27Fm1atVKVapU0cMPP6zjx49LkuLj4/XSSy+5vUAAAICcuBxkBgwYIG9vbx05ckRFihSxt3fu3FkrV650a3EAAAC5cfkcmdWrV2vVqlUqU6aMQ3vlypV1+PBhtxUGAABwMy7PyKSmpjrMxGQ6d+6cfH193VIUAACAM1wOMs2aNdNHH31kX7bZbMrIyNCECRPUsmVLl8YaO3as7r33XgUFBalkyZJq166d9u/f79Dn6tWrSkhIUPHixRUYGKgOHTro5MmTrpYNAABuQy4HmQkTJmjmzJmKjY3VtWvX9Morr6hmzZrauHGjxo8f79JYGzZsUEJCgr799lutWbNG169f10MPPaTU1FR7nwEDBmjp0qVasGCBNmzYoGPHjql9+/aulg0AAG5DNpOH66aTk5P1zjvvaNeuXbp06ZLq1aunhIQElSpV6i8Vc/r0aZUsWVIbNmxQ8+bNlZycrLCwMM2dO1cdO3aUJP3www+6++67tXnzZt133303HTMlJUUhISFKTk5WcHCwU3U8NWL9X3kZcLO5Y1p4ugQAwC3m7O9vl0/2laSQkBC99tpreS4uJ8nJyZKk0NBQSdL27dt1/fp1RUdH2/tUq1ZN5cqVyzHIpKWlKS0tzb6ckpLi9joBAEDBkKcgc/78eX3wwQfat2+fJKl69erq0aOHPYDkRUZGhvr3768mTZqoZs2akqQTJ07Ix8dHRYsWdegbHh6uEydOZDvO2LFjNXr06DzXAQAArMPlc2Q2btyoyMhITZkyRefPn9f58+c1ZcoUVahQQRs3bsxzIQkJCdqzZ4/mz5+f5zEkaejQoUpOTrY/jh49+pfGAwAABZfLMzIJCQnq3Lmzpk+frkKFCkmS0tPT9cILLyghIUG7d+92uYg+ffpo2bJl2rhxo8P9aSIiInTt2jVduHDBYVbm5MmTioiIyHYsX19fLgMHAOAO4fKMzIEDB/TSSy/ZQ4wkFSpUSAMHDtSBAwdcGssYoz59+mjx4sX68ssvVaFCBYf19evXl7e3t9atW2dv279/v44cOaLGjRu7WjoAALjNuDwjU69ePe3bt09Vq1Z1aN+3b59q167t0lgJCQmaO3eu/vOf/ygoKMh+3ktISIj8/f0VEhKi+Ph4DRw4UKGhoQoODtaLL76oxo0bO3XFEgAAuL05FWS+//57+7/79u2rfv366cCBA/Yw8e2332ratGkaN26cSxufPn26JKlFixYO7bNmzVL37t0lSW+//ba8vLzUoUMHpaWlKSYmRu+++65L2wEAALcnp+4j4+XlJZvNppt1tdlsSk9Pd1tx7sB9ZKyP+8gAwJ3HrfeROXTokNsKAwAAcBengkz58uXzuw4AAACX5emGeMeOHdN///tfnTp1ShkZGQ7r+vbt65bCAAAAbsblIJOYmKjnn39ePj4+Kl68uGw2m32dzWYjyAAAgFvG5SAzfPhwjRgxQkOHDpWXl8u3oQEAAHAbl5PI5cuX1aVLF0IMAADwOJfTSHx8vBYsWJAftQAAALjE5UNLY8eO1aOPPqqVK1fqnnvukbe3t8P6t956y23FAQAA5CZPQWbVqlX2ryj488m+AAAAt4rLQWbixIn68MMP7V8hAAAA4CkunyPj6+urJk2a5EctAAAALnE5yPTr109Tp07Nj1oAAABc4vKhpe+++05ffvmlli1bpho1amQ52fezzz5zW3EAAAC5cTnIFC1aVO3bt8+PWgAAAFzicpCZNWtWftQBAADgMm7PCwAALMvlGZkKFSrker+Yn3/++S8VBAAA4CyXg0z//v0dlq9fv66dO3dq5cqVGjRokLvqAgAAuCmXg0y/fv2ybZ82bZq2bdv2lwsCAABwltvOkYmNjdWiRYvcNRwAAMBNuS3ILFy4UKGhoe4aDgAA4KZcPrRUt25dh5N9jTE6ceKETp8+rXfffdetxQEAAOTG5SDTrl07h2UvLy+FhYWpRYsWqlatmrvqAgAAuCmXg8zIkSPzow4AAACXcUM8AABgWU7PyHh5eeV6IzxJstlsunHjxl8uCgAAwBlOB5nFixfnuG7z5s2aMmWKMjIy3FIUAACAM5wOMm3bts3Stn//fg0ZMkRLly7V008/rTFjxri1OAAAgNzk6RyZY8eOqVevXrrnnnt048YNJSUlafbs2Spfvry76wMAAMiRS0EmOTlZgwcPVqVKlfS///1P69at09KlS1WzZs38qg8AACBHTh9amjBhgsaPH6+IiAjNmzcv20NNAAAAt5LTQWbIkCHy9/dXpUqVNHv2bM2ePTvbfp999pnbigMAAMiN00GmW7duN738GgAA4FZyOsgkJibmYxkAAACu486+AADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsggyAADAsjwaZDZu3KjHHntMpUuXls1m05IlSxzWG2M0YsQIlSpVSv7+/oqOjtZPP/3kmWIBAECB49Egk5qaqtq1a2vatGnZrp8wYYKmTJmi9957T1u2bFFAQIBiYmJ09erVW1wpAAAoiAp7cuOxsbGKjY3Ndp0xRpMmTdKwYcPUtm1bSdJHH32k8PBwLVmyRF26dLmVpQIAgAKowJ4jc+jQIZ04cULR0dH2tpCQEDVq1EibN2/2YGUAAKCg8OiMTG5OnDghSQoPD3doDw8Pt6/LTlpamtLS0uzLKSkp+VMgAADwuAI7I5NXY8eOVUhIiP1RtmxZT5cEAADySYENMhEREZKkkydPOrSfPHnSvi47Q4cOVXJysv1x9OjRfK0TAAB4ToENMhUqVFBERITWrVtnb0tJSdGWLVvUuHHjHJ/n6+ur4OBghwcAALg9efQcmUuXLunAgQP25UOHDikpKUmhoaEqV66c+vfvr9dff12VK1dWhQoVNHz4cJUuXVrt2rXzXNEAAKDA8GiQ2bZtm1q2bGlfHjhwoCQpLi5OiYmJeuWVV5SamqrnnntOFy5cUNOmTbVy5Ur5+fl5qmQAAFCA2IwxxtNF5KeUlBSFhIQoOTnZ6cNMT41Yn79FwSVzx7TwdAkAgFvM2d/fBfYcGQAAgJshyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsiyAAAAMsq7OkCAE/78Z/dPV0C/qDKy4n5Ov4r6wfm6/hwzYQWb+Xr+N/265ev48M1902e7PYxmZEBAACWRZABAACWZYkgM23aNEVGRsrPz0+NGjXSd9995+mSAABAAVDgg8ynn36qgQMHauTIkdqxY4dq166tmJgYnTp1ytOlAQAADyvwQeatt95Sr1691KNHD1WvXl3vvfeeihQpog8//NDTpQEAAA8r0EHm2rVr2r59u6Kjo+1tXl5eio6O1ubNmz1YGQAAKAgK9OXXZ86cUXp6usLDwx3aw8PD9cMPP2T7nLS0NKWlpdmXk5OTJUkpKSlOb/d6WmoeqkV+cWXf5cWlq9fydXy4Jr/3d1pq2s074ZbJ7/2dmsb+Lkhc2d+ZfY0xufYr0EEmL8aOHavRo0dnaS9btqwHqoE7LJzg6QpwSw2f5+kKcAtN0bueLgG30owZLj/l4sWLCgkJyXF9gQ4yJUqUUKFChXTy5EmH9pMnTyoiIiLb5wwdOlQDB/7fDa8yMjJ07tw5FS9eXDabLV/rLUhSUlJUtmxZHT16VMHBwZ4uB/mM/X1nYX/fWe7U/W2M0cWLF1W6dOlc+xXoIOPj46P69etr3bp1ateunaTfg8m6devUp0+fbJ/j6+srX19fh7aiRYvmc6UFV3Bw8B31wb/Tsb/vLOzvO8uduL9zm4nJVKCDjCQNHDhQcXFxatCggRo2bKhJkyYpNTVVPXr08HRpAADAwwp8kOncubNOnz6tESNG6MSJE6pTp45WrlyZ5QRgAABw5ynwQUaS+vTpk+OhJGTP19dXI0eOzHKYDbcn9vedhf19Z2F/585mbnZdEwAAQAFVoG+IBwAAkBuCDAAAsCyCDAAAsCyCDFDA2Ww2LVmyJMf1xhg999xzCg0Nlc1mU1JSklq0aKH+/fu7tY5Ro0apTp06bh0T2WOf31nYd38NQeY2s3HjRj322GMqXbr0Tf8zhPNOnz6t3r17q1y5cvL19VVERIRiYmL09ddf5/u2jx8/rtjY2BzXr1y5UomJiVq2bJmOHz+umjVr6rPPPtM//vGPfK/tz26nzx/73Dljx47Vvffeq6CgIJUsWVLt2rXT/v37b3kdVtC9e3fZbLYsjwkTJnhk390uLHH5NZyXmpqq2rVrq2fPnmrfvr2ny7ltdOjQQdeuXdPs2bNVsWJFnTx5UuvWrdPZs2fzfds5fR1HpoMHD6pUqVK6//777W2hoaH5XVa2bqfPH/vcORs2bFBCQoLuvfde3bhxQ6+++qoeeugh7d27VwEBAR6pqSBr06aNZs2a5dAWFhamQoUKeaii24DBbUuSWbx4safLsLzz588bSWb9+vU37RcfH29KlChhgoKCTMuWLU1SUpJ9/ciRI03t2rXNBx98YMqWLWsCAgJM7969zY0bN8z48eNNeHi4CQsLM6+//rrDuLntx7i4OCPJ/ihfvrwxxpgHHnjA9OvXz96vfPny5o033jA9evQwgYGBpmzZsmbGjBkOY73yyiumcuXKxt/f31SoUMEMGzbMXLt2LUv9zrLy54997li/K06dOmUkmQ0bNrj0vDtBXFycadu2bZb2grLvrIpDS8BNBAYGKjAwUEuWLFFaWlqO/Tp16qRTp05pxYoV2r59u+rVq6dWrVrp3Llz9j4HDx7UihUrtHLlSs2bN08ffPCBHnnkEf3666/asGGDxo8fr2HDhmnLli1O1TZ58mSNGTNGZcqU0fHjx7V169Yc+06cOFENGjTQzp079cILL6h3794OhwCCgoKUmJiovXv3avLkyXr//ff19ttvO1XH7YZ9nnfJycmSPDdDdLvg59UFnk5SyD+y8F/EBc3ChQtNsWLFjJ+fn7n//vvN0KFDza5du+zrN23aZIKDg83Vq1cdnhcVFWX/S2rkyJGmSJEiJiUlxb4+JibGREZGmvT0dHtb1apVzdixY+3LN9uPb7/9tv2v8kzZ/YXXtWtX+3JGRoYpWbKkmT59eo7jvvnmm6Z+/fr25TtpRsYY9nlm/a7s8/T0dPPII4+YJk2aOP2cO0lcXJwpVKiQCQgIsD86duxYIPadlTEjAzihQ4cOOnbsmD7//HO1adNG69evV7169ZSYmChJ2rVrly5duqTixYvb/5oPDAzUoUOHdPDgQfs4kZGRCgoKsi+Hh4erevXq8vLycmg7deqU219DrVq17P+22WyKiIhw2M6nn36qJk2aKCIiQoGBgRo2bJiOHDmS7VibNm1yeJ2ffPKJ2+v1NPa5I2f2eUJCgvbs2aP58+e7/bXcLlq2bKmkpCT7Y8qUKdn2c+e+u91xsi/gJD8/P7Vu3VqtW7fW8OHD9eyzz2rkyJHq3r27Ll26pFKlSmn9+vVZnle0aFH7v729vR3W2Wy2bNsyMjLcXn9u29m8ebOefvppjR49WjExMQoJCdH8+fM1ceLEbMdq0KCBkpKS7Mu365e4ss//z832eZ8+fbRs2TJt3LhRZcqUce8LuY0EBASoUqVKN+3nzn13uyPIAHlUvXp1++XF9erV04kTJ1S4cGFFRkZ6tK68+Oabb1S+fHm99tpr9rbDhw/n2N/f39+p/4xvN+zzrPvcGKMXX3xRixcv1vr161WhQoV8qRf/x9V9d7sjyNxmLl26pAMHDtiXDx06pKSkJIWGhqpcuXIerMy6zp49q06dOqlnz56qVauWgoKCtG3bNk2YMEFt27aVJEVHR6tx48Zq166dJkyYoCpVqujYsWP64osv9MQTT6hBgwYefhW5q1y5so4cOaL58+fr3nvv1RdffKHFixe7PM7t8vljnzsvISFBc+fO1X/+8x8FBQXpxIkTkqSQkBD5+/u7u2zIffvudsE5MreZbdu2qW7duqpbt64kaeDAgapbt65GjBjh4cqsKzAwUI0aNdLbb7+t5s2bq2bNmho+fLh69eqld955R9Lv077Lly9X8+bN1aNHD1WpUkVdunTR4cOHLXHY5fHHH9eAAQPUp08f1alTR998842GDx/u8ji3y+ePfe686dOnKzk5WS1atFCpUqXsj08//TQfqobkvn13u7AZY4yniwAAAMgLZmQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAFDgtWrRQ//79PV1GriIjIzVp0iRPlwHc8QgywB2oe/fustls9i8wrFChgl555RVdvXrV06U5JTExUTabTW3atHFov3Dhgmw2W7Zf5Ajg9kSQAe5Qbdq00fHjx/Xzzz/r7bff1owZMzRy5EhPl+W0woULa+3atfrqq688XYrbXLt2zdMlAJZDkAHuUL6+voqIiFDZsmXVrl07RUdHa82aNfb1aWlp6tu3r0qWLCk/Pz81bdpUW7duta9PTExU0aJFHcZcsmSJbDabfXnUqFGqU6eO5syZo8jISIWEhKhLly66ePGivU9qaqq6deumwMBAlSpVShMnTnSq/oCAAPXs2VNDhgzJsc/69etls9l04cIFe1tSUpJsNpt++eUXh9exbNkyVa1aVUWKFFHHjh11+fJlzZ49W5GRkSpWrJj69u2r9PR0h/EvXryov/3tbwoICNBdd92ladOmOay/cOGCnn32WYWFhSk4OFgPPvigdu3aleX9+de//qUKFSrIz8/PqdcO4P8QZABoz549+uabb+Tj42Nve+WVV7Ro0SLNnj1bO3bsUKVKlRQTE6Nz5865NPbBgwe1ZMkSLVu2TMuWLdOGDRs0btw4+/pBgwZpw4YN+s9//qPVq1dr/fr12rFjh1Njjxo1Srt379bChQtdqunPLl++rClTpmj+/PlauXKl1q9fryeeeELLly/X8uXLNWfOHM2YMSPLdt58803Vrl1bO3fu1JAhQ9SvXz+HMNipUyedOnVKK1as0Pbt21WvXj21atXK4T08cOCAFi1apM8++0xJSUl/6XUAdyQD4I4TFxdnChUqZAICAoyvr6+RZLy8vMzChQuNMcZcunTJeHt7m08++cT+nGvXrpnSpUubCRMmGGOMmTVrlgkJCXEYd/HixeaP/62MHDnSFClSxKSkpNjbBg0aZBo1amSMMebixYvGx8fH/Pvf/7avP3v2rPH39zf9+vXLsf4/bnvIkCGmSpUq5vr16+b8+fNGkvnqq6+MMcZ89dVXRpI5f/68/bk7d+40ksyhQ4fsY0kyBw4csPd5/vnnTZEiRczFixftbTExMeb555+3L5cvX960adPGoa7OnTub2NhYY4wxmzZtMsHBwebq1asOfaKiosyMGTPs74+3t7c5depUjq8VQO6YkQHuUC1btlRSUpK2bNmiuLg49ejRQx06dJD0+yzK9evX1aRJE3t/b29vNWzYUPv27XNpO5GRkQoKCrIvlypVSqdOnbJv59q1a2rUqJF9fWhoqKpWrer0+IMHD9bp06f14YcfulTXHxUpUkRRUVH25fDwcEVGRiowMNChLbPuTI0bN86ynPn+7Nq1S5cuXVLx4sUVGBhofxw6dEgHDx60P6d8+fIKCwvLc+3Ana6wpwsA4BkBAQGqVKmSJOnDDz9U7dq19cEHHyg+Pt6p53t5eckY49B2/fr1LP28vb0dlm02mzIyMvJYdVZFixbV0KFDNXr0aD366KNZapTkUKezNf7Vui9duqRSpUplewXVH88tCggIcHpMAFkxIwNAXl5eevXVVzVs2DBduXJFUVFR8vHx0ddff23vc/36dW3dulXVq1eXJIWFhenixYtKTU2193H1HI+oqCh5e3try5Yt9rbz58/rxx9/dGmcF198UV5eXpo8ebJDe+ZMx/Hjx/NcY26+/fbbLMt33323JKlevXo6ceKEChcurEqVKjk8SpQo4bYagDsdQQaApN9PTC1UqJCmTZumgIAA9e7dW4MGDdLKlSu1d+9e9erVS5cvX7bP2DRq1EhFihTRq6++qoMHD2ru3LlKTEx0aZuBgYGKj4/XoEGD9OWXX2rPnj3q3r27fSbFWX5+fho9erSmTJni0F6pUiWVLVtWo0aN0k8//aQvvvjC6auinPH1119rwoQJ+vHHHzVt2jQtWLBA/fr1kyRFR0ercePGateunVavXq1ffvlF33zzjV577TVt27bNbTUAdzqCDABJv9+XpU+fPpowYYJSU1M1btw4dejQQc8884zq1aunAwcOaNWqVSpWrJik389l+fjjj7V8+XLdc889mjdvnkaNGuXydt988001a9ZMjz32mKKjo9W0aVPVr1/f5XHi4uJUsWJFhzZvb2/NmzdPP/zwg2rVqqXx48fr9ddfd3nsnLz00kvatm2b6tatq9dff11vvfWWYmJiJP1+KGr58uVq3ry5evTooSpVqqhLly46fPiwwsPD3VYDcKezmT8f5AYAALAIZmQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBlEWQAAIBl/X/0svuRbSBGRwAAAABJRU5ErkJggg==\n"},"metadata":{}}]},{"cell_type":"markdown","source":["**Pre Processing**"],"metadata":{"id":"Y42Nb-peGNox"}},{"cell_type":"code","source":["worldcup_teams = ['England', ' South Africa', '', 'West Indies',\n","            'Pakistan', 'New Zealand', 'Sri Lanka', 'Afghanistan',\n","            'Australia', 'Bangladesh', 'India']\n","df_teams_1 = results[results['Team_1'].isin(worldcup_teams)]\n","df_teams_2 = results[results['Team_2'].isin(worldcup_teams)]\n","df_teams = pd.concat((df_teams_1, df_teams_2))\n","df_teams.drop_duplicates()\n","df_teams.count()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"oYR9XwekGOEn","executionInfo":{"status":"ok","timestamp":1701461710057,"user_tz":300,"elapsed":312,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"2ad806fd-0749-465a-afa0-3322961b607a"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["date      1445\n","Team_1    1445\n","Team_2    1445\n","Winner    1445\n","Margin    1368\n","Ground    1445\n","dtype: int64"]},"metadata":{},"execution_count":15}]},{"cell_type":"code","source":["#dropping columns that wll not affect match outcomes\n","df_teams_2023 = df_teams.drop(['date','Margin', 'Ground'], axis=1)\n","df_teams_2023.head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":204},"id":"Fkxi_-83GSGf","executionInfo":{"status":"ok","timestamp":1701461747036,"user_tz":300,"elapsed":171,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"03e71c64-3796-4451-ad81-8de52983a4aa"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["       Team_1     Team_2     Winner\n","0  Bangladesh  Sri Lanka  Sri Lanka\n","1       India  Sri Lanka  Sri Lanka\n","2  Bangladesh      India      India\n","3  Bangladesh  Sri Lanka  Sri Lanka\n","4       India  Sri Lanka      India"],"text/html":["\n","  <div id=\"df-2cd7fb8a-72aa-488c-a876-968129dbe11d\" class=\"colab-df-container\">\n","    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Team_2_Kenya  Team_2_Netherlands  \\\n","0                   0  ...             0                   0   \n","1                   0  ...             0                   0   \n","2                   0  ...             0                   0   \n","3                   0  ...             0                   0   \n","4                   0  ...             0                   0   \n","\n","   Team_2_New Zealand  Team_2_Pakistan  Team_2_Scotland  Team_2_South Africa  \\\n","0                   0                0                0                    0   \n","1                   0                0                0                    0   \n","2                   0                0                0                    0   \n","3                   0                0                0                    0   \n","4                   0                0                0                    0   \n","\n","   Team_2_Sri Lanka  Team_2_U.A.E.  Team_2_West Indies  Team_2_Zimbabwe  \n","0                 1              0                   0                0  \n","1                 1              0                   0                0  \n","2                 0              0                   0                0  \n","3                 1              0                   0                0  \n","4                 1              0                   0                0  \n","\n","[5 rows x 36 columns]"],"text/html":["\n","  <div id=\"df-2c42f319-d2c5-4d75-b55b-bacc3fb073f3\" class=\"colab-df-container\">\n","    <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","      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<td>0</td>\n","      <td>...</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>Sri Lanka</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>...</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>India</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>...</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>5 rows × 36 columns</p>\n","</div>\n","    <div class=\"colab-df-buttons\">\n","\n","  <div class=\"colab-df-container\">\n","    <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-2c42f319-d2c5-4d75-b55b-bacc3fb073f3')\"\n","            title=\"Convert this dataframe to an interactive table.\"\n","            style=\"display:none;\">\n","\n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\" viewBox=\"0 -960 960 960\">\n","    <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n","  </svg>\n","    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classification_report"],"metadata":{"id":"9pfCVIeAHPml"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# Model 1: Random Forest\n","rf_model = RandomForestClassifier(random_state=42)\n","rf_model.fit(X_train, y_train)\n","rf_predictions = rf_model.predict(X_test)"],"metadata":{"id":"KNk2sVlIHXkd"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# Model 2: Support Vector Machine\n","svm_model = SVC(random_state=42)\n","svm_model.fit(X_train, y_train)\n","svm_predictions = svm_model.predict(X_test)"],"metadata":{"id":"gBQmG2btHZ0n"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# Model 3: Logistic Regression\n","lr_model = LogisticRegression(random_state=42)\n","lr_model.fit(X_train, y_train)\n","lr_predictions = lr_model.predict(X_test)"],"metadata":{"id":"I3Dw_7ybHb_D"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["# Evaluate the models\n","def evaluate_model(model, predictions):\n","    accuracy = accuracy_score(y_test, predictions)\n","    report = classification_report(y_test, predictions)\n","    print(f\"Model: {model.__class__.__name__}\")\n","    print(f\"Accuracy: {accuracy:.2f}\")\n","    print(\"Classification Report:\\n\", report)\n","    print(\"\")\n","\n","# Evaluate each model\n","evaluate_model(rf_model, rf_predictions)\n","evaluate_model(svm_model, svm_predictions)\n","evaluate_model(lr_model, lr_predictions)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_f7hCocUHd7v","executionInfo":{"status":"ok","timestamp":1701461764213,"user_tz":300,"elapsed":167,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"7aee35da-a84e-42b9-dfaf-b313496100fe"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Model: RandomForestClassifier\n","Accuracy: 0.67\n","Classification Report:\n","               precision    recall  f1-score   support\n","\n"," Afghanistan       0.50      0.55      0.52        11\n","   Australia       0.68      0.81      0.74        63\n","  Bangladesh       0.85      0.46      0.59        24\n","     England       0.62      0.91      0.74        57\n","       India       0.73      0.91      0.81        64\n","     Ireland       0.00      0.00      0.00         3\n","       Kenya       0.00      0.00      0.00         0\n"," Netherlands       0.00      0.00      0.00         1\n"," New Zealand       0.63      0.74      0.68        35\n","    Pakistan       0.78      0.63      0.70        46\n","    Scotland       0.00      0.00      0.00         1\n","South Africa       0.69      0.77      0.73        31\n","   Sri Lanka       0.59      0.50      0.54        46\n"," West Indies       0.64      0.44      0.52        16\n","    Zimbabwe       0.50      0.14      0.22         7\n","   no result       0.33      0.05      0.08        21\n","        tied       0.00      0.00      0.00         8\n","\n","    accuracy                           0.67       434\n","   macro avg       0.44      0.41      0.40       434\n","weighted avg       0.64      0.67      0.64       434\n","\n","\n","Model: SVC\n","Accuracy: 0.67\n","Classification Report:\n","               precision    recall  f1-score   support\n","\n"," Afghanistan       0.54      0.64      0.58        11\n","   Australia       0.73      0.76      0.74        63\n","  Bangladesh       0.83      0.42      0.56        24\n","     England       0.62      0.93      0.74        57\n","       India       0.71      0.91      0.79        64\n","     Ireland       0.00      0.00      0.00         3\n","       Kenya       0.00      0.00      0.00         0\n"," Netherlands       0.00      0.00      0.00         1\n"," New Zealand       0.64      0.71      0.68        35\n","    Pakistan       0.78      0.63      0.70        46\n","    Scotland       0.00      0.00      0.00         1\n","South Africa       0.66      0.68      0.67        31\n","   Sri Lanka       0.59      0.65      0.62        46\n"," West Indies       0.58      0.44      0.50        16\n","    Zimbabwe       0.50      0.14      0.22         7\n","   no result       0.00      0.00      0.00        21\n","        tied       0.00      0.00      0.00         8\n","\n","    accuracy                           0.67       434\n","   macro avg       0.42      0.41      0.40       434\n","weighted avg       0.62      0.67      0.63       434\n","\n","\n","Model: LogisticRegression\n","Accuracy: 0.67\n","Classification Report:\n","               precision    recall  f1-score   support\n","\n"," Afghanistan       0.57      0.73      0.64        11\n","   Australia       0.67      0.81      0.73        63\n","  Bangladesh       0.85      0.46      0.59        24\n","     England       0.62      0.91      0.74        57\n","       India       0.71      0.91      0.79        64\n","     Ireland       0.00      0.00      0.00         3\n"," Netherlands       0.00      0.00      0.00         1\n"," New Zealand       0.63      0.74      0.68        35\n","    Pakistan       0.78      0.63      0.70        46\n","    Scotland       0.00      0.00      0.00         1\n","South Africa       0.70      0.68      0.69        31\n","   Sri Lanka       0.60      0.57      0.58        46\n"," West Indies       0.58      0.44      0.50        16\n","    Zimbabwe       0.50      0.14      0.22         7\n","   no result       0.00      0.00      0.00        21\n","        tied       0.00      0.00      0.00         8\n","\n","    accuracy                           0.67       434\n","   macro avg       0.45      0.44      0.43       434\n","weighted avg       0.62      0.67      0.63       434\n","\n","\n"]}]},{"cell_type":"code","source":["from sklearn.metrics import confusion_matrix\n","import seaborn as sns\n","\n","# Confusion matrix for Random Forest model\n","rf_cm = confusion_matrix(y_test, rf_predictions)\n","\n","# Plot heatmap\n","plt.figure(figsize=(8, 6))\n","sns.heatmap(rf_cm, annot=True, fmt=\"d\", cmap=\"Blues\", cbar=False)\n","plt.title(\"Confusion Matrix - Random Forest\")\n","plt.xlabel(\"Predicted\")\n","plt.ylabel(\"Actual\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":564},"id":"S4Jzg_XwHgNZ","executionInfo":{"status":"ok","timestamp":1701461777169,"user_tz":300,"elapsed":1400,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"a75c8f5c-845c-49aa-d8f9-50f537b61c88"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 800x600 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["# Feature importance for Random Forest\n","feature_importance = rf_model.feature_importances_\n","\n","# Create a bar plot\n","plt.figure(figsize=(12, 6))\n","sns.barplot(x=feature_importance, y=X.columns)\n","plt.title(\"Random Forest - Feature Importance\")\n","plt.xlabel(\"Feature Importance\")\n","plt.ylabel(\"Features\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":564},"id":"LtHfUazoHkyQ","executionInfo":{"status":"ok","timestamp":1701461779268,"user_tz":300,"elapsed":869,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"0cb3e5b0-95e3-4749-9057-7844f0686687"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1200x600 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["from sklearn.metrics import confusion_matrix\n","import seaborn as sns\n","\n","# Get predictions for SVM\n","svm_predictions = svm_model.predict(X_test)\n","\n","# Compute confusion matrix\n","cm = confusion_matrix(y_test, svm_predictions)\n","\n","# Plot confusion matrix as a heatmap\n","plt.figure(figsize=(8, 6))\n","sns.heatmap(cm, annot=True, fmt=\"d\", cmap=\"Blues\", cbar=False)\n","plt.title(\"Confusion Matrix - SVM\")\n","plt.xlabel(\"Predicted\")\n","plt.ylabel(\"Actual\")\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":564},"id":"C_kfwHUQHpAd","executionInfo":{"status":"ok","timestamp":1701461780963,"user_tz":300,"elapsed":652,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"8cd348d9-1dcf-4fd2-bf85-1aea2eab241c"},"execution_count":null,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 800x600 with 1 Axes>"],"image/png":"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List for storing the group stage games\n","pred_set = []\n","\n","# Create new columns with ranking position of each team\n","fixtures.insert(1, 'first_position', fixtures['Team_1'].map(ranking.set_index('Team_name')['Team_ranking']))\n","fixtures.insert(2, 'second_position', fixtures['Team_2'].map(ranking.set_index('Team_name')['Team_ranking']))\n","\n","# We only need the group stage games, so we have to slice the dataset\n","fixtures = fixtures.iloc[:45, :]\n","fixtures.tail()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":204},"id":"Q2Mq4GvQHrkr","executionInfo":{"status":"ok","timestamp":1701461783525,"user_tz":300,"elapsed":256,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"ed9b27ad-7c77-4464-b7c7-0168d6c4f9e0"},"execution_count":null,"outputs":[{"output_type":"execute_result","data":{"text/plain":["   Round_number  first_position  second_position        Team_1       Team_2  \\\n","40            1             NaN              9.0   New Zealand    Sri Lanka   \n","41            1             6.0              8.0  South Africa  Afghanistan   \n","42            1             3.0             10.0         India  Netherlands   \n","43            1             1.0              7.0     Australia   Bangladesh   \n","44            1             5.0              2.0       England     Pakistan   \n","\n","          Date                                       Location    Group  Result  \n","40   9/11/2023               M.Chinnaswamy Stadium, Bengaluru  Group A     NaN  \n","41  10/11/2023               Narendra Modi Stadium, Ahmedabad  Group A     NaN  \n","42  11/11/2023               M.Chinnaswamy Stadium, Bengaluru  Group A     NaN  \n","43  12/11/2023  Maharashtra Cricket Association Stadium, Pune  Group A     NaN  \n","44  12/11/2023                          Eden Gardens, Kolkata  Group A     NaN  "],"text/html":["\n","  <div id=\"df-00c6dcee-1e23-4c0d-bfff-b30b44814ed8\" 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Team_2_Kenya  \\\n","0                   0                   1  ...             0   \n","1                   1                   0  ...             0   \n","2                   0                   0  ...             0   \n","3                   0                   0  ...             0   \n","4                   0                   0  ...             0   \n","\n","   Team_2_Netherlands  Team_2_New Zealand  Team_2_Pakistan  Team_2_Scotland  \\\n","0                   0                   0                0                0   \n","1                   0                   0                0                0   \n","2                   0                   0                0                0   \n","3                   0                   0                0                0   \n","4                   0                   0                0                0   \n","\n","   Team_2_South Africa  Team_2_Sri Lanka  Team_2_U.A.E.  Team_2_West Indies  \\\n","0                    0                 0              0                   0   \n","1                    0                 0              0                   0   \n","2                    0                 0              0                   0   \n","3                    0                 1              0                   0   \n","4                    0                 0              0                   0   \n","\n","   Team_2_Zimbabwe  \n","0                0  \n","1                0  \n","2                0  \n","3                0  \n","4                0  \n","\n","[5 rows x 35 columns]"],"text/html":["\n","  <div id=\"df-2fd0e61a-c28a-4d99-b744-d821c66f7ba6\" class=\"colab-df-container\">\n","    <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: 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  <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>...</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>...</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","      <td>0</td>\n","      <td>0</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>0</td>\n","      <td>1</td>\n","      <td>0</td>\n","  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Update team scores\n","    team_scores[winner] = team_scores.get(winner, 0) + 1\n","\n","# Sort teams based on scores\n","sorted_teams = sorted(team_scores.items(), key=lambda x: x[1], reverse=True)\n","\n","# Select the top 4 teams\n","top_4_teams = sorted_teams[:4]\n","\n","# Display the top 4 teams in the specified format\n","top_teams_tuples = [(top_4_teams[0][0], top_4_teams[-1][0]), (top_4_teams[1][0], top_4_teams[2][0])]\n","\n","print(\"Top 4 Teams (Two Tuples):\")\n","print(top_teams_tuples)\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"UBTDDwy1IjCo","executionInfo":{"status":"ok","timestamp":1701461789753,"user_tz":300,"elapsed":269,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"a9b5a524-8a9a-4fd3-a0be-efe895ad2d1e"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Top 4 Teams (Two Tuples):\n","[('Australia', 'Bangladesh'), ('South Africa', 'India')]\n"]}]},{"cell_type":"code","source":["def clean_and_predict(matches, ranking, final, logreg):\n","\n","    # Initialization of auxiliary list for data cleaning\n","    positions = []\n","\n","    # Loop to retrieve each team's position according to ICC ranking\n","    for match in matches:\n","        positions.append(ranking.loc[ranking['Team_name'] == match[0],'Team_ranking'].iloc[0])\n","        positions.append(ranking.loc[ranking['Team_name'] == match[1],'Team_ranking'].iloc[0])\n","\n","    # Creating the DataFrame for prediction\n","    pred_set = []\n","\n","    # Initializing iterators for while loop\n","    i = 0\n","    j = 0\n","\n","    # 'i' will be the iterator for the 'positions' list, and 'j' for the list of matches (list of tuples)\n","    while i < len(positions):\n","        dict1 = {}\n","\n","        # If position of first team is better then this team will be the 'Team_1' team, and vice-versa\n","        if positions[i] < positions[i + 1]:\n","            dict1.update({'Team_1': matches[j][0], 'Team_2': matches[j][1]})\n","        else:\n","            dict1.update({'Team_1': matches[j][1], 'Team_2': matches[j][0]})\n","\n","        # Append updated dictionary to the list, that will later be converted into a DataFrame\n","        pred_set.append(dict1)\n","        i += 2\n","        j += 1\n","\n","        # Convert list into DataFrame\n","    pred_set = pd.DataFrame(pred_set)\n","    backup_pred_set = pred_set\n","\n","    # Get dummy variables and drop winning_team column\n","    pred_set = pd.get_dummies(pred_set, prefix=['Team_1', 'Team_2'], columns=['Team_1', 'Team_2'])\n","\n","    # Add missing columns compared to the model's training dataset\n","    missing_cols2 = set(final.columns) - set(pred_set.columns)\n","    for c in missing_cols2:\n","        pred_set[c] = 0\n","    pred_set = pred_set[final.columns]\n","\n","    pred_set = pred_set.drop(['Winner'], axis=1)\n","\n","    # Predict!\n","    # predictions = logreg.predict(pred_set)\n","    # for i in range(len(pred_set)):\n","    #     print(backup_pred_set.iloc[i, 1] + \" and \" + backup_pred_set.iloc[i, 0])\n","    #     if predictions[i] == 1:\n","    #         print(\"Winner: \" + backup_pred_set.iloc[i, 1])\n","    #     else:\n","    #         print(\"Winner: \" + backup_pred_set.iloc[i, 0])\n","    #     print(\"\")\n","\n","\n","    winners = []\n","\n","    # ... (remaining code)\n","\n","    # Predict!\n","    predictions = logreg.predict(pred_set)\n","\n","    for i in range(len(pred_set)):\n","        team1 = backup_pred_set.iloc[i, 1]\n","        team2 = backup_pred_set.iloc[i, 0]\n","\n","        if predictions[i] == 1:\n","            winners.append(team1)\n","        else:\n","            winners.append(team2)\n","\n","        print(team1 + \" and \" + team2)\n","        if predictions[i] == 1:\n","            print(\"Winner: \" + team1)\n","        else:\n","            print(\"Winner: \" + team2)\n","        print(\"\")\n","\n","    # Return the winners in a single tuple\n","    if len(winners) == 1:\n","      return winners[0]\n","    else:\n","      return [(winners[0], winners[1])]\n","\n"],"metadata":{"id":"ip0MYS3fIDs0"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["finals=clean_and_predict(top_teams_tuples, ranking, final, rf_model)\n","print(\"Finals Tuple:\")\n","print(finals)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"QzqWQDkcIHFH","executionInfo":{"status":"ok","timestamp":1701461796048,"user_tz":300,"elapsed":8,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"98da89b4-c321-4e9e-c7da-961ceb433fb6"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["Bangladesh and Australia\n","Winner: Australia\n","\n","South Africa and India\n","Winner: India\n","\n","Finals Tuple:\n","[('Australia', 'India')]\n"]}]},{"cell_type":"code","source":["winner=clean_and_predict(finals, ranking, final, rf_model)\n","print(winner)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"G5hcTkW6IMSJ","executionInfo":{"status":"ok","timestamp":1701461797285,"user_tz":300,"elapsed":198,"user":{"displayName":"sumedha dhannapuneni","userId":"13146946514903908766"}},"outputId":"e8bc3d7e-b87c-4961-bcbc-39490cdf0bd3"},"execution_count":null,"outputs":[{"output_type":"stream","name":"stdout","text":["India and Australia\n","Winner: Australia\n","\n","Australia\n"]}]},{"cell_type":"code","source":[],"metadata":{"id":"5LsSMmniIO6W"},"execution_count":null,"outputs":[]}]}