{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/hhboorstein/ds_portfolio/blob/main/DSBA_Unsupervised_Clustering.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "e9PnxNiWUw5u"
      },
      "source": [
        "# Unsupervised Learning: StockCenter\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Use K-means and Hierarchical clustering techniques to group stocks. StockCenter can use this information to compile a portfolio containing similar performing securities across various sectors.\n",
        "\n",
        "Attributes:\n",
        "\n",
        "* `Ticker Symbol`: Stock abbreviation\n",
        "* `Security`: Company Name\n",
        "* `GICS Sector`: Global Industry Classification Standard economic sector designation\n",
        "* `GICS Sub Industry`: GICS-designated economic sub-industry\n",
        "* `Current Price`: Stock price in USD\n",
        "* `Price Change`: Percent change in price (last 13 weeks)\n",
        "* `Volatility`: Standard deviation in price (last 13 weeks)\n",
        "* `ROE`: Net income divided by shareholder equity, where shareholder equity is a company's assets less debts\n",
        "* `Cash Ratio`: Cash and cash equivalents divided by total liabilities\n",
        "* `Net Cash Flow`:  Difference between cash inflow and outflow in USD\n",
        "* `Net Income`: Company revenue minus expenses, interest, and taxes (USD)\n",
        "* `Earnings Per Share`: Net profit over outstanding common shares (USD/share)\n",
        "* `Estimated Shares Outstanding`: Shareholder-held stock\n",
        "* `P/E Ratio`: Stock price divided by earnings per share\n",
        "* `P/B Ratio`: Stock price divided by company book value per share, where book value is total assets less total liabilities"
      ],
      "metadata": {
        "id": "Z6b8ewDTzdg5"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GLmC-0-fDPyI"
      },
      "source": [
        "## Importing necessary libraries and data"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "! pip install -U scikit-learn"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0J5KTxN8vCKO",
        "outputId": "2fb665d6-e71c-451f-d5bc-3baacb668560"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: scikit-learn in /usr/local/lib/python3.8/dist-packages (1.0.2)\n",
            "Collecting scikit-learn\n",
            "  Downloading scikit_learn-1.2.1-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (9.8 MB)\n",
            "\u001b[2K     \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m9.8/9.8 MB\u001b[0m \u001b[31m64.2 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hRequirement already satisfied: joblib>=1.1.1 in /usr/local/lib/python3.8/dist-packages (from scikit-learn) (1.2.0)\n",
            "Requirement already satisfied: scipy>=1.3.2 in /usr/local/lib/python3.8/dist-packages (from scikit-learn) (1.7.3)\n",
            "Requirement already satisfied: numpy>=1.17.3 in /usr/local/lib/python3.8/dist-packages (from scikit-learn) (1.21.6)\n",
            "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.8/dist-packages (from scikit-learn) (3.1.0)\n",
            "Installing collected packages: scikit-learn\n",
            "  Attempting uninstall: scikit-learn\n",
            "    Found existing installation: scikit-learn 1.0.2\n",
            "    Uninstalling scikit-learn-1.0.2:\n",
            "      Successfully uninstalled scikit-learn-1.0.2\n",
            "Successfully installed scikit-learn-1.2.1\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "zeF8YaNKDPyK"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "# visualization\n",
        "from matplotlib import pyplot as plt\n",
        "import seaborn as sns\n",
        "from yellowbrick.cluster import KElbowVisualizer, SilhouetteVisualizer\n",
        "from scipy.cluster.hierarchy import dendrogram\n",
        "\n",
        "# normalization, distance, and correlation functions\n",
        "from scipy.stats import zscore\n",
        "from scipy.spatial.distance import pdist\n",
        "from scipy.cluster.hierarchy import linkage, cophenet\n",
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "# clustering\n",
        "from sklearn.cluster import KMeans, AgglomerativeClustering"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df=pd.read_csv('stock_data.csv')\n",
        "data=df.copy()"
      ],
      "metadata": {
        "id": "i_aJVEz9oCAf"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "sns.set_theme()"
      ],
      "metadata": {
        "id": "-O8D4GbhqsDW"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UvpMDcaaMKtI"
      },
      "source": [
        "## Data Overview"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "01hJQ7EfMKtK",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 792
        },
        "outputId": "065a9f47-6462-4dd9-abdb-8b01205c03b7"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                     Security             GICS Sector  \\\n",
              "102           DVN           Devon Energy Corp.                  Energy   \n",
              "125            FB                     Facebook  Information Technology   \n",
              "11            AIV  Apartment Investment & Mgmt             Real Estate   \n",
              "248            PG             Procter & Gamble        Consumer Staples   \n",
              "238           OXY         Occidental Petroleum                  Energy   \n",
              "336           YUM              Yum! Brands Inc  Consumer Discretionary   \n",
              "112           EQT              EQT Corporation                  Energy   \n",
              "147           HAL              Halliburton Co.                  Energy   \n",
              "89            DFS  Discover Financial Services              Financials   \n",
              "173           IVZ                 Invesco Ltd.              Financials   \n",
              "\n",
              "                      GICS Sub Industry  Current Price  Price Change  \\\n",
              "102  Oil & Gas Exploration & Production      32.000000    -15.478079   \n",
              "125        Internet Software & Services     104.660004     16.224320   \n",
              "11                                REITs      40.029999      7.578608   \n",
              "248                   Personal Products      79.410004     10.660538   \n",
              "238  Oil & Gas Exploration & Production      67.610001      0.865287   \n",
              "336                         Restaurants      52.516175     -8.698917   \n",
              "112  Oil & Gas Exploration & Production      52.130001    -21.253771   \n",
              "147      Oil & Gas Equipment & Services      34.040001     -5.101751   \n",
              "89                     Consumer Finance      53.619999      3.653584   \n",
              "173    Asset Management & Custody Banks      33.480000      7.067477   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "102    2.923698  205          70      830000000 -14454000000   \n",
              "125    1.320606    8         958      592000000   3669000000   \n",
              "11     1.163334   15          47       21818000    248710000   \n",
              "248    0.806056   17         129      160383000    636056000   \n",
              "238    1.589520   32          64     -588000000  -7829000000   \n",
              "336    1.478877  142          27      159000000   1293000000   \n",
              "112    2.364883    2         201      523803000     85171000   \n",
              "147    1.966062    4         189     7786000000   -671000000   \n",
              "89     1.159897   20          99     2288000000   2297000000   \n",
              "173    1.580839   12          67      412000000    968100000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \n",
              "102              -35.55                  4.065823e+08  93.089287   1.785616  \n",
              "125                1.31                  2.800763e+09  79.893133   5.884467  \n",
              "11                 1.52                  1.636250e+08  26.335526  -1.269332  \n",
              "248                3.28                  4.913916e+08  24.070121  -2.256747  \n",
              "238              -10.23                  7.652981e+08  93.089287   3.345102  \n",
              "336                2.97                  4.353535e+08  17.682214  -3.838260  \n",
              "112                0.56                  1.520911e+08  93.089287   9.567952  \n",
              "147               -0.79                  8.493671e+08  93.089287  17.345857  \n",
              "89                 5.14                  4.468872e+08  10.431906  -0.375934  \n",
              "173                2.26                  4.283628e+08  14.814159   4.218620  "
            ],
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>102</th>\n",
              "      <td>DVN</td>\n",
              "      <td>Devon Energy Corp.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Oil &amp; Gas Exploration &amp; Production</td>\n",
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              "      <td>93.089287</td>\n",
              "      <td>1.785616</td>\n",
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              "    <tr>\n",
              "      <th>125</th>\n",
              "      <td>FB</td>\n",
              "      <td>Facebook</td>\n",
              "      <td>Information Technology</td>\n",
              "      <td>Internet Software &amp; Services</td>\n",
              "      <td>104.660004</td>\n",
              "      <td>16.224320</td>\n",
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              "      <td>79.893133</td>\n",
              "      <td>5.884467</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>AIV</td>\n",
              "      <td>Apartment Investment &amp; Mgmt</td>\n",
              "      <td>Real Estate</td>\n",
              "      <td>REITs</td>\n",
              "      <td>40.029999</td>\n",
              "      <td>7.578608</td>\n",
              "      <td>1.163334</td>\n",
              "      <td>15</td>\n",
              "      <td>47</td>\n",
              "      <td>21818000</td>\n",
              "      <td>248710000</td>\n",
              "      <td>1.52</td>\n",
              "      <td>1.636250e+08</td>\n",
              "      <td>26.335526</td>\n",
              "      <td>-1.269332</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>248</th>\n",
              "      <td>PG</td>\n",
              "      <td>Procter &amp; Gamble</td>\n",
              "      <td>Consumer Staples</td>\n",
              "      <td>Personal Products</td>\n",
              "      <td>79.410004</td>\n",
              "      <td>10.660538</td>\n",
              "      <td>0.806056</td>\n",
              "      <td>17</td>\n",
              "      <td>129</td>\n",
              "      <td>160383000</td>\n",
              "      <td>636056000</td>\n",
              "      <td>3.28</td>\n",
              "      <td>4.913916e+08</td>\n",
              "      <td>24.070121</td>\n",
              "      <td>-2.256747</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>238</th>\n",
              "      <td>OXY</td>\n",
              "      <td>Occidental Petroleum</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Oil &amp; Gas Exploration &amp; Production</td>\n",
              "      <td>67.610001</td>\n",
              "      <td>0.865287</td>\n",
              "      <td>1.589520</td>\n",
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              "      <td>-10.23</td>\n",
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              "      <td>93.089287</td>\n",
              "      <td>3.345102</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>336</th>\n",
              "      <td>YUM</td>\n",
              "      <td>Yum! Brands Inc</td>\n",
              "      <td>Consumer Discretionary</td>\n",
              "      <td>Restaurants</td>\n",
              "      <td>52.516175</td>\n",
              "      <td>-8.698917</td>\n",
              "      <td>1.478877</td>\n",
              "      <td>142</td>\n",
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              "      <td>2.97</td>\n",
              "      <td>4.353535e+08</td>\n",
              "      <td>17.682214</td>\n",
              "      <td>-3.838260</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>112</th>\n",
              "      <td>EQT</td>\n",
              "      <td>EQT Corporation</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Oil &amp; Gas Exploration &amp; Production</td>\n",
              "      <td>52.130001</td>\n",
              "      <td>-21.253771</td>\n",
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              "      <td>9.567952</td>\n",
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              "    <tr>\n",
              "      <th>147</th>\n",
              "      <td>HAL</td>\n",
              "      <td>Halliburton Co.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Oil &amp; Gas Equipment &amp; Services</td>\n",
              "      <td>34.040001</td>\n",
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              "      <td>93.089287</td>\n",
              "      <td>17.345857</td>\n",
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              "    <tr>\n",
              "      <th>89</th>\n",
              "      <td>DFS</td>\n",
              "      <td>Discover Financial Services</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Consumer Finance</td>\n",
              "      <td>53.619999</td>\n",
              "      <td>3.653584</td>\n",
              "      <td>1.159897</td>\n",
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              "      <td>10.431906</td>\n",
              "      <td>-0.375934</td>\n",
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              "    <tr>\n",
              "      <th>173</th>\n",
              "      <td>IVZ</td>\n",
              "      <td>Invesco Ltd.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Asset Management &amp; Custody Banks</td>\n",
              "      <td>33.480000</td>\n",
              "      <td>7.067477</td>\n",
              "      <td>1.580839</td>\n",
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              "      <td>14.814159</td>\n",
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              "          const element = document.querySelector('#df-bbea594f-6e45-423a-9e4d-5dc6ca293cf5');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ],
      "source": [
        "data.sample(10,random_state=1)"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "There are two unique identifiers for each record: ticker symbol and security. Both a general sector and a sub-industry are described as well."
      ],
      "metadata": {
        "id": "8KUWoo4F4a1b"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.info()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "AOQ-0qYzoQlF",
        "outputId": "37fcdce4-d90b-4592-a95c-f37686f54d4e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 340 entries, 0 to 339\n",
            "Data columns (total 15 columns):\n",
            " #   Column                        Non-Null Count  Dtype  \n",
            "---  ------                        --------------  -----  \n",
            " 0   Ticker Symbol                 340 non-null    object \n",
            " 1   Security                      340 non-null    object \n",
            " 2   GICS Sector                   340 non-null    object \n",
            " 3   GICS Sub Industry             340 non-null    object \n",
            " 4   Current Price                 340 non-null    float64\n",
            " 5   Price Change                  340 non-null    float64\n",
            " 6   Volatility                    340 non-null    float64\n",
            " 7   ROE                           340 non-null    int64  \n",
            " 8   Cash Ratio                    340 non-null    int64  \n",
            " 9   Net Cash Flow                 340 non-null    int64  \n",
            " 10  Net Income                    340 non-null    int64  \n",
            " 11  Earnings Per Share            340 non-null    float64\n",
            " 12  Estimated Shares Outstanding  340 non-null    float64\n",
            " 13  P/E Ratio                     340 non-null    float64\n",
            " 14  P/B Ratio                     340 non-null    float64\n",
            "dtypes: float64(7), int64(4), object(4)\n",
            "memory usage: 40.0+ KB\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Most of our attributes are numerical, with about twice as many floats to ints. There are no null entries."
      ],
      "metadata": {
        "id": "n78kT9Dk4tzo"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "__7ciGcIDPyk"
      },
      "source": [
        "## Exploratory Data Analysis (EDA)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "cN1lyueHttwW",
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          "height": 456
        },
        "outputId": "b0903276-32cb-4ab2-aa00-3bc2fec7799d"
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      "outputs": [
        {
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          "data": {
            "text/plain": [
              "                              count          mean           std           min  \\\n",
              "Current Price                 340.0  8.086234e+01  9.805509e+01  4.500000e+00   \n",
              "Price Change                  340.0  4.078194e+00  1.200634e+01 -4.712969e+01   \n",
              "Volatility                    340.0  1.525976e+00  5.917984e-01  7.331632e-01   \n",
              "ROE                           340.0  3.959706e+01  9.654754e+01  1.000000e+00   \n",
              "Cash Ratio                    340.0  7.002353e+01  9.042133e+01  0.000000e+00   \n",
              "Net Cash Flow                 340.0  5.553762e+07  1.946365e+09 -1.120800e+10   \n",
              "Net Income                    340.0  1.494385e+09  3.940150e+09 -2.352800e+10   \n",
              "Earnings Per Share            340.0  2.776662e+00  6.587779e+00 -6.120000e+01   \n",
              "Estimated Shares Outstanding  340.0  5.770283e+08  8.458496e+08  2.767216e+07   \n",
              "P/E Ratio                     340.0  3.261256e+01  4.434873e+01  2.935451e+00   \n",
              "P/B Ratio                     340.0 -1.718249e+00  1.396691e+01 -7.611908e+01   \n",
              "\n",
              "                                       25%           50%           75%  \\\n",
              "Current Price                 3.855500e+01  5.970500e+01  9.288000e+01   \n",
              "Price Change                 -9.394838e-01  4.819505e+00  1.069549e+01   \n",
              "Volatility                    1.134878e+00  1.385593e+00  1.695549e+00   \n",
              "ROE                           9.750000e+00  1.500000e+01  2.700000e+01   \n",
              "Cash Ratio                    1.800000e+01  4.700000e+01  9.900000e+01   \n",
              "Net Cash Flow                -1.939065e+08  2.098000e+06  1.698108e+08   \n",
              "Net Income                    3.523012e+08  7.073360e+08  1.899000e+09   \n",
              "Earnings Per Share            1.557500e+00  2.895000e+00  4.620000e+00   \n",
              "Estimated Shares Outstanding  1.588482e+08  3.096751e+08  5.731175e+08   \n",
              "P/E Ratio                     1.504465e+01  2.081988e+01  3.176476e+01   \n",
              "P/B Ratio                    -4.352056e+00 -1.067170e+00  3.917066e+00   \n",
              "\n",
              "                                       max  \n",
              "Current Price                 1.274950e+03  \n",
              "Price Change                  5.505168e+01  \n",
              "Volatility                    4.580042e+00  \n",
              "ROE                           9.170000e+02  \n",
              "Cash Ratio                    9.580000e+02  \n",
              "Net Cash Flow                 2.076400e+10  \n",
              "Net Income                    2.444200e+10  \n",
              "Earnings Per Share            5.009000e+01  \n",
              "Estimated Shares Outstanding  6.159292e+09  \n",
              "P/E Ratio                     5.280391e+02  \n",
              "P/B Ratio                     1.290646e+02  "
            ],
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              "      <th>Current Price</th>\n",
              "      <td>340.0</td>\n",
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              "      <th>Volatility</th>\n",
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              "      <td>7.331632e-01</td>\n",
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              "      <td>4.580042e+00</td>\n",
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              "      <td>340.0</td>\n",
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              "      <td>1.000000e+00</td>\n",
              "      <td>9.750000e+00</td>\n",
              "      <td>1.500000e+01</td>\n",
              "      <td>2.700000e+01</td>\n",
              "      <td>9.170000e+02</td>\n",
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              "      <th>Cash Ratio</th>\n",
              "      <td>340.0</td>\n",
              "      <td>7.002353e+01</td>\n",
              "      <td>9.042133e+01</td>\n",
              "      <td>0.000000e+00</td>\n",
              "      <td>1.800000e+01</td>\n",
              "      <td>4.700000e+01</td>\n",
              "      <td>9.900000e+01</td>\n",
              "      <td>9.580000e+02</td>\n",
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              "      <th>Net Cash Flow</th>\n",
              "      <td>340.0</td>\n",
              "      <td>5.553762e+07</td>\n",
              "      <td>1.946365e+09</td>\n",
              "      <td>-1.120800e+10</td>\n",
              "      <td>-1.939065e+08</td>\n",
              "      <td>2.098000e+06</td>\n",
              "      <td>1.698108e+08</td>\n",
              "      <td>2.076400e+10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Net Income</th>\n",
              "      <td>340.0</td>\n",
              "      <td>1.494385e+09</td>\n",
              "      <td>3.940150e+09</td>\n",
              "      <td>-2.352800e+10</td>\n",
              "      <td>3.523012e+08</td>\n",
              "      <td>7.073360e+08</td>\n",
              "      <td>1.899000e+09</td>\n",
              "      <td>2.444200e+10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <td>340.0</td>\n",
              "      <td>2.776662e+00</td>\n",
              "      <td>6.587779e+00</td>\n",
              "      <td>-6.120000e+01</td>\n",
              "      <td>1.557500e+00</td>\n",
              "      <td>2.895000e+00</td>\n",
              "      <td>4.620000e+00</td>\n",
              "      <td>5.009000e+01</td>\n",
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              "    <tr>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <td>340.0</td>\n",
              "      <td>5.770283e+08</td>\n",
              "      <td>8.458496e+08</td>\n",
              "      <td>2.767216e+07</td>\n",
              "      <td>1.588482e+08</td>\n",
              "      <td>3.096751e+08</td>\n",
              "      <td>5.731175e+08</td>\n",
              "      <td>6.159292e+09</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>P/E Ratio</th>\n",
              "      <td>340.0</td>\n",
              "      <td>3.261256e+01</td>\n",
              "      <td>4.434873e+01</td>\n",
              "      <td>2.935451e+00</td>\n",
              "      <td>1.504465e+01</td>\n",
              "      <td>2.081988e+01</td>\n",
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              "      <td>5.280391e+02</td>\n",
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              "      <th>P/B Ratio</th>\n",
              "      <td>340.0</td>\n",
              "      <td>-1.718249e+00</td>\n",
              "      <td>1.396691e+01</td>\n",
              "      <td>-7.611908e+01</td>\n",
              "      <td>-4.352056e+00</td>\n",
              "      <td>-1.067170e+00</td>\n",
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              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
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          "metadata": {},
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        "* Many values are in the millions or billions.\n",
        "* Net cash flow and net income have some of the highest values, along with some of the lowest.\n",
        "* The mean P/E ratio is positive, while the mean P/B ratio is negative."
      ],
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      "execution_count": null,
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        {
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          "data": {
            "text/plain": [
              "                  count unique                                 top freq\n",
              "Ticker Symbol       340    340                                 AAL    1\n",
              "Security            340    340             American Airlines Group    1\n",
              "GICS Sector         340     11                         Industrials   53\n",
              "GICS Sub Industry   340    104  Oil & Gas Exploration & Production   16"
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              "      <th>Ticker Symbol</th>\n",
              "      <td>340</td>\n",
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              "      <td>1</td>\n",
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              "    <tr>\n",
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              "      <td>340</td>\n",
              "      <td>American Airlines Group</td>\n",
              "      <td>1</td>\n",
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              "    <tr>\n",
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              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\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",
              "    [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-0476544b-df77-4b11-a3dc-735e38f254ca button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-0476544b-df77-4b11-a3dc-735e38f254ca');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The most common sector in our data is industrials, and the most common sub-industry is Oil & Gas Exploration & Production."
      ],
      "metadata": {
        "id": "AAzjkF-enV20"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# boxplots\n",
        "data.plot(\n",
        "    kind='box',\n",
        "    subplots=True,\n",
        "    sharey=False,\n",
        "    layout=(3,4),\n",
        "    figsize=(15,20));"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "mWrZBdfxp0wv",
        "outputId": "06a9557b-008b-4acb-f6e3-d860ad21ff3d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x1440 with 12 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "* Every attribute shows evidence of many outliers, indicating the broad spread of the data.\n",
        "* Net cash flow is fairly concentrated around 0, though the minimum and maximum are respectively massive.\n",
        "* The distribution of price change appears fairly balanced.\n",
        "* ROE is concentrated near 0, with roughly two pockets of data above.\n",
        "* Cash ratio has a singe value far outside the rest of the data, as does P/B ratio."
      ],
      "metadata": {
        "id": "1cnNiSi-nqcO"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# histograms\n",
        "plt.figure(figsize=(20,18))\n",
        "for idx,col in enumerate(data.select_dtypes(np.number).columns):\n",
        "  plt.subplot(4,3,idx+1)\n",
        "  plt.title('Distribution of '+str(col),fontsize=14)\n",
        "  sns.histplot(data[col],kde=True)\n",
        "plt.tight_layout()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 878
        },
        "id": "kq59BRy0t-BJ",
        "outputId": "0815fedf-31e4-4ea1-c526-50bf3642830f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x1296 with 11 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "* The distribution of stock prices is heavily right-skewed.\n",
        "* Moreover, volatility, ROE, cash ratio, estimated shares outstanding, and P/E ratio are right-skewed.\n",
        "* Net cash flow is very tightly concentrated about 0 with long tails. Net income is similar, although not as tightly concentrated.\n",
        "* P/E has a second peak that appears out of nowhere to the right of the mean."
      ],
      "metadata": {
        "id": "-8EDHDPSl7zV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(12,8))\n",
        "plt.title('Correlation Matrix',fontsize=20)\n",
        "sns.heatmap(\n",
        "    data=data.corr(),\n",
        "    vmin=-1,\n",
        "    cmap='Spectral',\n",
        "    annot=True\n",
        ");"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 668
        },
        "id": "kBLi1MKqnmbs",
        "outputId": "ccc2438c-a64d-4c60-80c1-3fe97a6f03bf"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 864x576 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The matrix above shows the correlation between the different variables.\n",
        "* Net income is positively correlated with earnings per share and estimated shares outstanding.\n",
        "* Volatility is negatively correlated with price change, net income, and earnings per share. Earnings per share is also negatively correlated with ROE.\n",
        "* Earnings per share and current price are positively correlated."
      ],
      "metadata": {
        "id": "5cZbTdJVo4Eh"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sns.pairplot(data,diag_kind='kde',corner=True);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 975
        },
        "id": "g5tom_brp0tZ",
        "outputId": "905d9b17-99e2-48bf-b2fb-d7a3a74dfe50"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1980x1980 with 77 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "There are no immediately visible trends in the paired scatterplot."
      ],
      "metadata": {
        "id": "v8AIw3iiptOU"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "subind=data.groupby('GICS Sector')['GICS Sub Industry'].nunique()\n",
        "\n",
        "plt.figure(figsize=(15,8))\n",
        "plt.subplot(1,2,1)\n",
        "plt.title('Number of Securities per Sector')\n",
        "sns.countplot(\n",
        "    x=data['GICS Sector'],\n",
        "    order=data['GICS Sector'].value_counts().index)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.subplot(1,2,2)\n",
        "plt.title('Number of Sub-industries per Sector')\n",
        "sns.barplot(\n",
        "    x=subind.index,\n",
        "    y=subind.values,\n",
        "    order=data['GICS Sector'].value_counts().index)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 675
        },
        "id": "x4f9pQGXp0qh",
        "outputId": "c2c1f70c-3b5b-4daf-f8f1-ee67f847686a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x576 with 2 Axes>"
            ],
            "image/png": 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FxMTo+uuv17Zt27RixQqVlpaqtLRUGzdu1NatWyu13ZiYGMXHx2vOnDkqLi7WV199paVLl5Y7mnomL7/8statW6eioiKVlZVp+fLlOnr0qH7961/ryiuvVN26dfXCCy+oqKhIHo9H33zzje/Jc9CgQXr66ae1bds2GWP01VdfqaCgoEr2X6NGjU57n7PlWrlypfLz8+VyuVS/fn1JKnf07mRz585VSUmJ1q9fr/fff1+9evWSy+XSoEGDNHPmTOXl5Un68cMGPvroo0o/hurYtxXtm+TkZC1btkxffvmlSkpKNGfOHF155ZW+s34AwFx3+udjSfrVr36lzMxMeTweffjhh/rXv/51yjYqmisuVK9evbR8+XJ99913On78uP785z+XWx8bG6u///3vOn78uLZv317uA2E2btyoL774QqWlpapdu7bcbrdvrouKiip36X9l3HbbbfrTn/7kO5iYn5+vd999V5L06aef6uuvv5bH41G9evUUEhJyxnn1tdde0549e3Tw4EHNnz9fvXv3lvTj3PbGG2/oiy++kDFGx44d0/vvv68jR45UKuP69eu1ePFi37y8detW5eTk6KqrrjrrY+jbt6/Wrl2rrKwslZWVqaCgwHf57cn768orr1StWrW0YMEClZaWat26dcrJyfE9DjiH8odqcd9995X7HiRJmjZtmhYuXKjExER99913io+Pv6AxkpOTNW/ePCUmJmrz5s168sknJUn16tXTwoULlZWVpU6dOum6667T7NmzVVJSUultz5kzR7t27VKnTp00ZswYjR07Vtdcc02l7lu7dm2lp6fr2muvVYcOHbRo0SLNnTtXLVu2VHBwsObPn6+vvvpK3bp1U4cOHTR58mTfk/Tw4cN14403asSIEWrbtq0mTZrk+0SvC91/Y8aM0cSJE5WQkFDuE+EknTXXRx99pD59+ig+Pl4zZszQH//4x9O+161Ro0aqX7++OnXqpPHjx2vKlCm+S4AmTJigSy65RLfeeqvatm2ru+66S99//32lH0N17duT980111yjBx54QGPHjtV1112nH374ge8rAnAK5rqKn48ladKkSXrvvfeUkJCgjIwMde/evdz9zzRXXIguXbrozjvv1J133qkePXqoQ4cO5dbfeeedCg0N1TXXXKNHHnlEffv29a07evSoJk+erPbt26tr166KiIjQyJEjJUm33HKLvvvuOyUkJOh3v/tdpbIMGzZMSUlJGjFihOLj43Xrrbf6DkgeOHBA999/v9q1a6fevXurffv26t+//2m3lZycrBEjRqh79+762c9+5jvT95vf/EbTpk3T1KlTdfXVV+uGG27QsmXLKr2/6tevr5ycHPXt21fx8fH67W9/q+7du+vuu+8+62No1qyZ/vKXv+ill15S+/btNWDAAN8njZ68v9xut+bPn68PP/xQHTp00P/8z/9o1qxZVfI7x7kJMsYYf4cAcHFYt26dJkyYoA8//NDfUQAAuCgkJSVp+vTplS7mwJlw5g8AAAAALED5AwAAAAALcNknAAAAAFiAM38AAAAAYAHKHwAAAABYgPIHAAAAABYI8XeAqlZQcFReL29jBICLmcsVpIYN6/o7Ro3DHAkAF7ezzY8XXfnzeg0TGwAAFWCOBAC7cdknAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYIMTfAapTZINaCnaHOjKWp6RU+YeKHBkLAABcvBpEhModWsux8UpKi3ToYKlj4wHwn4u6/AW7Q7X/uVcdGavx6NslUf4AAMCFcYfW0h9f6+nYeONSsiVR/gAbcNknAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABYIcWqgpKQkud1uhYWFSZLGjx+vTp06acOGDUpNTVVxcbGaN2+uJ598UlFRUU7FAgAAAAArOFb+JOmZZ55R69atfbe9Xq8mTJigJ554QgkJCXr22Wc1e/ZsPfHEE07GAgAAAICLnl8v+9y0aZPCwsKUkJAgSRoyZIhWr17tz0gAAAAAcFFy9Mzf+PHjZYxRu3bt9NBDDyk3N1fNmjXzrY+MjJTX69XBgwcVERHhZDQAAAAAuKg5Vv4WLVqkmJgYlZSUaMaMGZo6dap69OhR5eNERdWr8m1WVuPG4X4bGwAAAADOxLHyFxMTI0lyu91KSUnR6NGjNWzYMO3evdv3M/n5+XK5XBd01i8v74i8XiPJ+TK2f3+ho+MBgK1criC/HuwDAKAmcuQ9f8eOHVNh4Y/FyBijrKwsxcbGqk2bNioqKtL69eslSW+88YZ69erlRCQAAAAAsIojZ/7y8vI0duxYeTweeb1etWrVSmlpaXK5XJo1a5bS0tLKfdUDAAAAAKBqOVL+WrZsqRUrVlS4rm3btsrIyHAiBgAAAABYy69f9QAAAAAAcAblDwAAAAAsQPkDAAAAAAs4+iXvtmrYwK0Qd5hj45WVFKvgUIlj4wEAAAAIfJQ/B4S4w7R1bn/Hxms1dqUkyh8AAACA/+KyTwAAAACwAGf+AADwo4KCAj388MPasWOH3G63LrnkEk2dOlWRkZHasGGDUlNTy30XblRUlL8jAwBqKM78AQDgR0FBQbr77ruVnZ2tjIwMtWzZUrNnz5bX69WECROUmpqq7OxsJSQkaPbs2f6OCwCowSh/AAD4UUREhBITE3234+LitHv3bm3atElhYWFKSEiQJA0ZMkSrV6/2V0wAwEWAyz4BAAgQXq9Xr7/+upKSkpSbm6tmzZr51kVGRsrr9ergwYOKiIg4r+1HRdWrqqi4yDRuHO7vCAAcQPkDACBATJs2TXXq1NHtt9+uv//971W+/by8I/J6TZVvF1XLH0Vs//5Cx8cEUPVcrqAzHuij/AEAEADS09O1fft2zZ8/Xy6XSzExMdq9e7dvfX5+vlwu13mf9QMAgPf8AQDgZ3PmzNGmTZs0b948ud1uSVKbNm1UVFSk9evXS5LeeOMN9erVy58xAQA1HGf+AADwo2+//VbPP/+8Lr30Ug0ZMkSS1KJFC82bN0+zZs1SWlpaua96AADgfFH+AADwo1/+8pf6+uuvK1zXtm1bZWRkOJwIAHCx4rJPAAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACzgePn785//rMsvv1zffPONJGnDhg3q16+fevbsqREjRigvL8/pSAAAAABw0XO0/G3evFkbNmxQ8+bNJUler1cTJkxQamqqsrOzlZCQoNmzZzsZCQAAAACs4Fj5Kykp0dSpUzVlyhTfsk2bNiksLEwJCQmSpCFDhmj16tVORQIAAAAAazhW/p5++mn169dPLVq08C3Lzc1Vs2bNfLcjIyPl9Xp18OBBp2IBAAAAgBVCnBjk888/16ZNmzR+/PhqHysqql61j3E6jRuH+23sk50ui6esRMEhbsdynG68Mk+JQoKdy+H0eAAAAECgcaT8/etf/9LWrVvVrVs3SdKePXs0cuRI3XHHHdq9e7fv5/Lz8+VyuRQREXHeY+XlHZHXayQ5X8b27y+scLk/SuGZsmS+eKNjOZJHvF1hlsaNw/XH13o6lmNcSvZp9wmAmsflCvLrwT4AAGoiRy77vOeee/Txxx8rJydHOTk5atq0qRYuXKi7775bRUVFWr9+vSTpjTfeUK9evZyIBAAAAABWceTM3+m4XC7NmjVLaWlpKi4uVvPmzfXkk0/6MxIAAAAAXJT8Uv5ycnJ8/9+2bVtlZGT4IwYAAAAAWMPxL3kHAAAAADiP8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABbw6/f8AQAA50U2qKVgd6hj43lKSpV/qMix8QAAFaP8AQBgmWB3qPY/96pj4zUefbskyh8A+BuXfQIAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGCBEH8HAADAZunp6crOztauXbuUkZGh1q1bS5KSkpLkdrsVFhYmSRo/frw6derkz6gAgBqO8gcAgB9169ZNw4YN09ChQ09Z98wzz/jKIAAAF4ryBwCAHyUkJPg7AgDAEpQ/AAAC1Pjx42WMUbt27fTQQw+pfv36F7S9qKh6VZTs3DVuHO63sXF2/H4AO1D+AAAIQIsWLVJMTIxKSko0Y8YMTZ06VbNnz76gbeblHZHXa/zyQn///kLHx6yp+P0AOF8uV9AZD/TxaZ8AAASgmJgYSZLb7VZKSoo+++wzPycCANR0lD8AAALMsWPHVFj445kYY4yysrIUGxvr51QAgJqOyz4BAPCj6dOn65133tGBAwc0fPhwRUREaP78+Ro7dqw8Ho+8Xq9atWqltLQ0f0cFANRwlD8AAPxo8uTJmjx58inLV6xY4Yc0AICLGZd9AgAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWCDE3wEAfwuPCFOtULdj4xWVlqjwYLFj4wEAAAAS5Q9QrVC3blx5r2Pjvd1/vgpF+QMAAICzuOwTAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAIh/g4AAADs1bCBWyHuMEfGKispVsGhEkfGAoBARPkDAAB+E+IO09a5/R0Zq9XYlZIofwDsxWWfAAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcc+7fN3v/uddu7cKZfLpTp16ujxxx9XbGysvv/+e02cOFEHDx5URESE0tPTdemllzoVCwAAAACs4Fj5S09PV3h4uCTp3Xff1WOPPably5crLS1NKSkp6t+/v1auXKnU1FS98sorTsUCAAAAACs4dtnnieInSUeOHFFQUJDy8vK0ZcsWJScnS5KSk5O1ZcsW5efnOxULAAAAAKzg6Je8T5o0SWvWrJExRgsWLFBubq6io6MVHBwsSQoODlaTJk2Um5uryMjI8xojKqpeVUY+J40bh5/9hxxCllMFSg7p9FlKPGVyBzvzz9LJsQAAAOB/jr7ymzFjhiRpxYoVmjVrlh544IEqHyMv74i8XiPJ+Rf7+6wOxnwAACAASURBVPcXVrjcH6Uj0LMESg4p8LL0efN5RzKsGjjqtDmAQOdyBfn1YB8AADWRXz7tc8CAAVq3bp2aNm2qvXv3yuPxSJI8Ho/27dunmJgYf8QCAAAAgItWpcvfwoULK1z+0ksvnfW+R48eVW5uru92Tk6OGjRooKioKMXGxiozM1OSlJmZqdjY2PO+5BMAAAAAULFKX/Y5b948jRw58pTlzz33nIYPH37G+x4/flwPPPCAjh8/LpfLpQYNGmj+/PkKCgrSlClTNHHiRD377LOqX7++0tPTz/1RAAAAAADO6Kzl75NPPpEkeb1effrppzLG+Nbt3LlTdevWPesgjRo10uLFiytc16pVKy1ZsqSyeQEAAAAA5+Gs5W/SpEmSpOLiYj322GO+5UFBQWrcuLEmT55cfekAAAAAAFXirOUvJydHkvTwww9r1qxZ1R4IAAAAAFD1Kv2ev58WP6/XW26dy+WXDw0FAAAAAFRSpcvf5s2bNXXqVH399dcqLi6WJBljFBQUpC+//LLaAgIAAMA/wiPCVCvU7chYRaUlKjxY7MhYgK0qXf4mTpyorl27aubMmapVq1Z1ZgIAAEAAqBXq1o0r73VkrLf7z1ehKH9Adap0+du1a5fGjRunoKCg6swDAAAAAKgGlX6zXo8ePfTxxx9XZxYAAAAAQDWp9Jm/4uJijRkzRu3atVOjRo3KreNTQAEAAAAgsFW6/P3iF7/QL37xi+rMAgAAAACoJpUuf2PGjKnOHAAAAACAalTp8vfJJ5+cdl3Hjh2rJAwAAAAAoHpUuvxNmjSp3O2CggKVlpYqOjpa//jHP6o8GAAAAACg6lS6/OXk5JS77fF49Nxzz6lu3bpVHgoAAAAAULUq/VUPJwsODta9996rBQsWVGUeAAAAAEA1OO/yJ0lr1qzhS98BAAAAoAao9GWfXbp0KVf0jh8/rpKSEqWlpVVLMAAAAABA1al0+XvyySfL3a5du7Yuu+wy1atXr8pDAQAAAACqVqXLX/v27SVJXq9XBw4cUKNGjeRyXdBVowACVHhEbdUKrfTTwwUrKi1T4cHjjo0HAABgo0q/ujty5IimTp2qrKwslZWVKSQkRH369NHkyZMVHh5enRkBOKxWaIj6LV3p2Hhv3dJfhY6NBgAAYKdKn7qbPn26jh8/royMDG3cuFEZGRk6fvy4pk+fXp35AAAAAABVoNJn/j766CO9++67ql27tiTpsssu0xNPPKEePXpUWzgAAAAAQNWo9Jm/sLAw5efnl1tWUFAgt9td5aEAAAAAAFWr0mf+brnlFo0YMUJ33XWXmjVrpt27d+vll1/WoEGDqjMfAAAAAKAKVLr8jR49WtHR0crIyNC+ffvUpEkT3X333ZQ/AAAAAKgBKn3Z54wZM3TZZZfp5ZdfVlZWll5++WW1atVKM2bMqM58AAAAAIAqUOnyl5mZqTZt2pRb1qZNG2VmZlZ5KAAAAABA1ap0+QsKCpLX6y23zOPxnLIMAAAAABB4Kl3+EhIS9PTTT/vKntfr1dy5c5WQkFBt4QAAAAAAVaPSH/gyadIkjRo1Stddd52aNWum3NxcNW7cWPPnz6/OfAAAAACAKlDp8te0aVMtX75cGzduVG5urmJiYnTllVfK5ar0yUMAAAAAgJ9UuvxJksvlUlxcnOLi4qorDwAAAACgGnDaDgAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAPCj9PR0JSUl6fLLL9c333zjW/79999r8ODB6tmzpwYPHqxt27b5LyQA4KJA+QMAwI+6deumRYsWqXnz5uWWp6WlKSUlRdnZ2UpJSVFqaqqfEgIALhaUPwAA/CghIUExMTHlluXl5WnLli1KTk6WJCUnJ2vLli3Kz8/3R0QAwEUixN8BAABAebm5uYqOjlZwcLAkKTg4WE2aNFFubq4iIyPPe7tRUfWqKuI5a9w43G9j/1Sg5Ag0gbJfAiUHzo3HYxQcHHTRjncxofwBCGjhEXVUKzTYkbGKSj0qPHjMkbEAf8jLOyKv1/jlBfb+/YUVLnc6y+lyBBJ+P6hpGjcO1+I3Dzg23q0DG/G3chouV9AZD/RR/gAEtFqhwRr05iZHxloysI2YShAIYmJitHfvXnk8HgUHB8vj8Wjfvn2nXB4KAMC54D1/AAAEmKioKMXGxiozM1OSlJmZqdjY2Au65BMAAM78AQDgR9OnT9c777yjAwcOaPjw4YqIiNCqVas0ZcoUTZw4Uc8++6zq16+v9PR0f0cFANRwlD8AAPxo8uTJmjx58inLW7VqpSVLlvghEQDgYsVlnwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWCHFikIKCAj388MPasWOH3G63LrnkEk2dOlWRkZHasGGDUlNTVVxcrObNm+vJJ59UVFSUE7EAAAAAwBqOnPkLCgrS3XffrezsbGVkZKhly5aaPXu2vF6vJkyYoNTUVGVnZyshIUGzZ892IhIAAAAAWMWR8hcREaHExETf7bi4OO3evVubNm1SWFiYEhISJElDhgzR6tWrnYgEAAAAAFZx5LLPn/J6vXr99deVlJSk3NxcNWvWzLcuMjJSXq9XBw8eVERExHltPyqqXlVFPWeNG4f7beyTkeVUgZJDCpwsgZJDCpwsp8vh8RgFBwc5lsPp8QAAwMXP8fI3bdo01alTR7fffrv+/ve/V/n28/KOyOs1kpx/Mbl/f2GFy/3xojbQswRKDsnuLIGSQwqcLGfKsfjNA47luHVgo9NmgeRyBfn1YB8AADWRo+UvPT1d27dv1/z58+VyuRQTE6Pdu3f71ufn58vlcp33WT8AAAAAQMUc+6qHOXPmaNOmTZo3b57cbrckqU2bNioqKtL69eslSW+88YZ69erlVCQAAAAAsIYjZ/6+/fZbPf/887r00ks1ZMgQSVKLFi00b948zZo1S2lpaeW+6gEAAAAAULUcKX+//OUv9fXXX1e4rm3btsrIyHAiBgAAAABYy/EPfAEAAAg0EQ3cCnWHOTZeaUmxDh4qcWw8wAYNG9RViNuxd7WprMSrgkNHHRuvKlD+AACA9ULdYcp88UbHxkse8bYkyh9QlULcLn317F7HxvvV76IdG6uqUP4AoIbhyCYAADgflD8AqGE4sgkAAM6Hc4eOAQAAAAB+Q/kDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACwQ4u8AAAAAQE0RHlFbtUKdeQldVFqmwoPHHRkLdqD8AQAAAJVUKzRE/ZaudGSst27pr0JHRoItuOwTAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC4T4OwAAADi9pKQkud1uhYWFSZLGjx+vTp06+TkVAKAmovwBABDgnnnmGbVu3drfMQAANRyXfQIAAACABTjzBwBAgBs/fryMMWrXrp0eeugh1a9f/7y2ExVVr4qTVV7jxuF+G/unAiWHRJaKBEqOQMI+qVig7JdAyVFZlD8AAALYokWLFBMTo5KSEs2YMUNTp07V7Nmzz2tbeXlH5PUav7xY2b+/sMLlTmcJlBwSWc4lRyBhn5wqUP5mAyWHP7lcQWc80MdlnwAABLCYmBhJktvtVkpKij777DM/JwIA1FSUPwAAAtSxY8dUWPjjUWVjjLKyshQbG+vnVACAmorLPgEACFB5eXkaO3asPB6PvF6vWrVqpbS0NH/HAgDUUJQ/AAACVMuWLbVixQp/xwAAXCS47BMAAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMACjpS/9PR0JSUl6fLLL9c333zjW/79999r8ODB6tmzpwYPHqxt27Y5EQcAAAAArONI+evWrZsWLVqk5s2bl1uelpamlJQUZWdnKyUlRampqU7EAQAAAADrOFL+EhISFBMTU25ZXl6etmzZouTkZElScnKytmzZovz8fCciAQAAAIBVQvw1cG5urqKjoxUcHCxJCg4OVpMmTZSbm6vIyMjz3m5UVL2qinjOGjcO99vYJyPLqQIlhxQ4WQIlhxQ4WQIlh0QWAABQtfxW/qpLXt4Reb1GkvMvVvbvL6xwuT9eNAV6lkDJIdmdJVBySIGTJVBySDUji7+4XEF+PdgHAEBN5LdP+4yJidHevXvl8XgkSR6PR/v27Tvl8lAAAAAAwIXz25m/qKgoxcbGKjMzU/3791dmZqZiY2Mv6JJPAAAAXHzCI2qpVmioY+MVlZaq8GCRY+MBTnGk/E2fPl3vvPOODhw4oOHDhysiIkKrVq3SlClTNHHiRD377LOqX7++0tPTnYgDAACAGqRWaKj6vPm8Y+OtGjhKhaL84eLjSPmbPHmyJk+efMryVq1aacmSJU5EAAAAAACr+e09fwAAAAAA51D+AAAAAMAClD8AAAAAsADlDwAAAAAsQPkDAAAAAAtQ/gAAAADAApQ/AAAAALAA5Q8AAAAALED5AwAAAAALUP4AAAAAwAKUPwAAAACwAOUPAAAAACxA+QMAAAAAC1D+AAAAAMAClD8AAAAAsADlDwAAAAAsEOLvAAAAAADOTXhEHdUKDXZsvKJSjwoPHnNsPFQPyh8AAABQw9QKDdagNzc5Nt6SgW1U6NhoqC5c9gkAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYIEQfwcAANRckQ3qKNgd7MhYnhKP8g8dc2QsAAAuRpQ/AMB5C3YHa++f/unIWNEPtndkHAAALlaUPwAAAACoQk5eGSNV/uoYyh8AAAAAVCEnr4yRKn91DB/4AgAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAAAAAFiA8gcAAAAAFqD8AQAAAIAFKH8AAAAAYAHKHwAAAABYICDK3/fff6/BgwerZ8+eGjx4sLZt2+bvSAAA+B3zIwCgKgVE+UtLS1NKSoqys7OVkpKi1NRUf0cCAMDvmB8BAFUpxN8B8vLytGXLFr300kuSpOTkZE2bNk35+fmKjIw85+25XEHlb4fXrZKc5zP2T4WEN3Esh3TmLLXrBUaW+nWjAyKHJDWpHeVgkrNkqVMvQHLUdiyHdOYsjeuEBkSOOnWcPV52piyh4YGTxVXf7XiOM+W5WFT1/CiV329Ozo8nj30yJ+fImjA/SvbOkYEyP0qBM0cGyvwo1Yw50tb5Ufoxy9nmxyBjjHEoT4U2bdqkRx55RKtWrfIt6927t5588kldccUVfkwGAID/MD8CAKpaQFz2CQAAAACoXn4vfzExMdq7d688Ho8kyePxaN++fYqJifFzMgAA/If5EQBQ1fxe/qKiohQbG6vMzExJUmZmpmJjY8/7/QwAAFwMmB8BAFXN7+/5k6StW7dq4sSJOnz4sOrXr6/09HT9/Oc/93csAAD8ivkRAFCVAqL8AQAAAACql98v+wQAAAAAVD/KHwAAAABYgPIHAAAAABag/AEAAACABSh/AAAAAGAByh8AAAAAWIDyBwAAAAAWoPwBAAAAgAUofwAAAABgAcofAtqePXv8HcEnkLIANUlWVpaOHDkiSXr66ac1cuRIbdq0yc+pgJovUOalQMkB1EROz5GUP1Ro27Ztuu2225SUlCRJ2rx5s+bOnet4jltuuUVjx47VJ5984vjYgZwlUOTl5Wn8+PEaOnSoJOmrr77S66+/7rc8R44ckdfrlSR98803WrVqlUpKSvyWx9/+8Ic/qLCwUGVlZUpJSVFcXJxWrlzpeI7nnntO9erV08aNG/Xxxx9rwIABmj59uuM5gKoQKPOjFDjzUqDkCDSBNEcyP5YXKPOj5PwcSfkLMIFyhHzKlCkaPXq0wsPDJUmxsbFavXq14zlycnLUrVs3/elPf1Lv3r21aNEi3/6xOYskbdiwwW9jnzB58mS1a9dOhw8fliT9/Oc/12uvvea3PMOGDVNRUZH279+vkSNHatmyZUpNTfVbHunHyd9fv6u1a9cqPDxcH3/8saKjo5Wdna0XX3zR8RwhISGSpDVr1mjQoEHq27eviouLHc+Bmi8Q5shAmR+lwJmXAiXHCYEwP0qBNUcG4vwo+W+ODJT5UXJ+jqT8/Z9AOQIQKEfICwsL1blzZwUFBUmSXC6XQkNDHc/hdrs1YMAA/e1vf9P06dP1l7/8RZ07d9a0adOUl5dnbRZJSktL080336ylS5f67YX03r17ddtttyk4OFjSj/vI5fLf04oxRnXq1NH777+vW2+9VQsXLtTmzZsdz5GSkqLCwkIdPnxYAwYM0KRJk5Senu54jhP+9a9/qUePHoqOjvb9m3ZSUFCQsrKylJWVpY4dO0qSSktLHc+B8xMo86MUGHNkoMyPUuDMS4GS44RAmB+lwJojA2V+lAJrjvT3/Cg5P0dS/v5PoBwBCJQj5MHBwSotLfX9Q9i7d6/fnrB27dqlp556Sr///e/VsWNHLViwQFFRURo5cqTVWVauXKnHHntMa9euVbdu3ZSenq4ffvjB0Qwn/l5POHz4sIwxjmb4qeLiYpWUlGjNmjW+J1B//N0eO3ZM4eHheu+999S3b19lZGTo448/djxHVFSU0tLS9Pbbb+vaa69VWVmZPB6P4zkef/xxZWZm6pZbblHLli21bds2JSYmOp4D5ydQ5kcpMObIQJofpcCZlwIlhxQY86MUWHNkoMyPUmDMkYEyP0rOz5EhZ/8Ru/j7CMBP2/+zzz4ryT9HyFNSUjRmzBgVFBRo7ty5WrFihcaNG+d4jlGjRunbb7/VkCFDtGzZMjVs2FCS1LZtW2VlZVmb5YSEhAQlJCToyy+/1OjRo/W///u/6ty5syZMmKBWrVpV+/g9evRQamqqjh49qmXLlum1117TwIEDq33c0+ndu7euvfZaXXLJJWrbtq3279+vsLAwx3OceB/FunXr1KdPH7lcLt+RXyc99dRTeuutt3TTTTepQYMG2rlzp4YPH+54jvj4eN/zmSRdeumlevzxxx3PgQvj7/lRCow5MlDmRylw5qVAyfFT/p4fpcCaIwNlfpQCY44MlPlRcn6ODDL+PEwfQIYPH66f/exn+uijj7R8+XLVrVtXN910kzIyMhzN8dlnn2nBggVKTEzUnXfeqW3btumvf/2rX14orV+/Xu+9956MMUpKSlJCQoLjGVavXq0ePXr45YVzIGc5Yf369Vq0aJG++OIL3XzzzRo0aJA+/fRTPfvss8rOznYkw1tvvaWcnBzf30n//v0dGfd0Dh06pPDwcLlcLh09elRHjhxRdHS0oxmmTJmif/7zn/J4PMrMzNTx48d11113admyZY7mkH58k//27dt1xRVXOD72Cdu2bdOjjz6qvXv3KicnR5s3b1ZOTo7Gjh3rt0yovECZH6XAmSMDYX6UAmdeCpQcPxUI86MUWHNkIMyPUuDMkYEwP0p+mCMNjDHG5OXlmZdeesl8/vnnxhhjfvjhB/Pmm2/6OZV/lJWVmQEDBvg7hvF6vebGG2/0dwyfb7/99pT/9uzZ47c8ycnJZvDgwSYjI8OUlpaWWzdixAhHMqxdu7ZSy5zi9XrN4sWLzaxZs4wxP/47/ve//+2XHFu2bDGFhYXGmB+fXzZv3ux4jvfff9907tzZdO3a1RhjzMaNG82oUaMcz3HnnXeaDz74wPTr188YY4zH4zG9e/d2PAfOD/PjfwXK/GhMYM2RzI8VC6Q5MlDmxxNZ/D1HBsr8aIzzcySXff6fyMhI3XXXXb7bLVq0UIsWLRwbf9asWWdc//DDDzuU5Mf3M9SpU0fFxcV+uyRA+vHynpiYGB06dEgNGjTwW44T7rnnHuXm5vo+4a2wsFBRUVFyu9166qmnFB8f72iemTNn6je/+U2F6xYuXOhIhlmzZmn58uVnXeaUJ554Qnl5edq8ebMmTJig/9/encdVVeYPHP9cVgURLbc0xZVMc0uz3BO1yBQEc4isyJ+j5ZLmlmaGpk5kLi22YJGmZWYikJrjVOqQmTmZzaQNZCIoZaIGJBDr5f7+wHuHK1im8TwP8n2/XrwGDur5Nnrvh3PvOc/x9vbmmWeeITY2Vsn+8/PzHZ+3bNnSsa127dq0atVKyQzlvfTSS8TGxjJu3DgAOnXqxIkTJ5TPYV8gY8WKFYDeBTLEH6e7j2BOI03pI5jVSOlj5UxqpO4+glmNNKWPoL6RNf7gb+TIkb957YKqB4WXl5eS/VyqVq1aMXr0aO68806n2ez3qlGlTp06hISE0L9/f6c5VB4M2w0aNIhbb72VwYMHA/DJJ5/wxRdfMGTIEJ555hk2bdqkdJ7MzEwSExOdttWpUwd/f39HgKvK8ePHSUtLIzc312mGnJwcpyd31fbv309CQgIhISEA1K9fX+liEN26dcNisWCz2Sr936SkJGWz2DVs2NDpaw8PD+UzmLZAhrg0pvQRzGqkKX0EcxopfXRmYiN19xHMa6QJfQT1jazxB3+zZ8/WPQIAkydP1j2CE6vVSrt27Th27JjWOdq1a0e7du20zmD3r3/9iyeffNLx9eDBg1m5ciXz5s2joKBA+Tyvvvoqhw4d4oYbbgDKbtp6ww03kJGRweLFixk4cGCV7fvgwYPExcVx9uxZYmJiHNvr1KnDnDlzqmy/v8fT09Pph1X7DW1VSU5OVrq/3+Pt7c3Zs2cd/5/s379fyQ8+FzJpgQxx6UzpI5jVSFP6COY0UvrozMRG6u4jmNVIU/oI6htZ4w/+evbsqXuECj777DOSkpKcXpFRHb6oqCil+7sYk4JfWlrKwYMHufnmmwH4+uuvHU+eOt7FaNGiBU899RQ33XQTAN9++y1r1qxh6dKlTJ8+vUrjFhISQkhICHFxcYSGhlbZfv4of39/tmzZgs1m44cffuD111+ne/fuusfSZubMmYwbN44ffviBBx54gLS0NF577TXlc4wYMYLrr7+e3bt3k5+fz5IlS7QtkCEunYl9BP2NNKWPYE4jpY/OTGyk9NGZKX0E9Y2U1T7Py8nJ4Y033qgQlHXr1imdY9myZRw6dIijR48yaNAgdu7cSa9evVi2bJnSOQCOHTtGcnKyY0leKPsHqpru0NsdOHCAGTNmUKtWLQAKCgpYvnw5N954Ix999JHjVApV7PfGKS8oKIgtW7Y4/leFnJwcUlNTnf5+brnlFiX7vlBubi7PPvssu3btAiAgIIAnnngCb29vpXMkJyczf/78Co8fHad95uTkcPDgQaDslJu6desqn0FUb6b0EcxppCl9BDMaKX28OFMaaUofwZxG1tQ+1vh3/uzmzp1LmzZtSEtLY+rUqWzevFnL0q+JiYnEx8cTGhrKwoULmTRpEvPmzVM+x7p169i4cSNnzpyhU6dOHDhwgFtuuUV53C4Weh169OjBxx9/TGpqKlB23Yf9/HDVYQOoXbs227ZtY9iwYQBs27bNEV5V9+Davn07S5Ys4dy5czRq1IgTJ07Qvn17bQu+1KlTh8WLF2vZd3kLFizgscceIyoqipiYGNavX68lsAA+Pj4MGDBAy77twsPDiY6OdixKkZ2dzaRJk1i/fr3WucSlMaWPYEYjTekjmNNI6WPlTGqkKX0EcxppQh9BfSPl4O+848ePs3LlSnbu3MmwYcO44447ePDBB5XP4eHhgZubGxaLheLiYho3bsypU6eUz/H++++zadMmwsPDefPNNzly5AivvPKK8jlMCH15J06c4MCBAwC4ubkpu1FsZaKiopg1axZz584FoG3btjz33HP8+uuvyi72j46OJi4ujrFjx5KQkMDevXuV3j/J7quvvqJ79+4VLvC3U/3kXlRURK9evbDZbDRq1Ihp06YxcuRIxo8fr2T/t912W6U/4Ngvqt+3b5+SOex+/fVXp9UI69WrR15entIZxOUzpY9gRiNN6SOY1UjpY0UmNNK0PoLeRprWR1DfSDn4O8/+CpW7uzvZ2dn4+vqSmZmpfA5vb2/y8/Pp1q0bc+bMoWHDho5Xq1Ty8PDAy8uL0tJSbDYb/v7+pKWlaZlDd+jtOdcrygAAIABJREFUEhISWL58ueOJctWqVcycOZOgoCDls1itVg4cOEBcXBy5ublA2at6dn369FEyh5ubG9deey1Wq9WxXx2nKMfHx9O9e3enC+vtLBaL8rjZb3Ts6+tLcnIyjRs3JisrS9n+N2/erGxfl6K0tNSxnDdAXl4eJSUlmqcSl8qUPoIZjTSlj/ZZTGik9LFyJjTStD6C3kaa1kdQ30g5+DuvZcuWZGdnM3z4cMLCwvDx8dFyWsuKFStwdXVl9uzZrFmzhpycHF588UXlc9SuXZvi4mLat2/P0qVLue6667SsDGVC6O1Wr15NXFycY2ngM2fOMHbsWC1xc3V1ZePGjYSFhTlFTTUPDw9sNht+fn68/fbbNGvWjF9//VX5HPZTWd5++23l+67M0KFDycrKYvz48YSHh1NaWsqUKVOU7b9Zs2aOz4uLix2nYrVu3Ro3N/VP+8OGDWPMmDGEh4cDsGHDBi2PG3F5TOkjmNFIU/oI5jRS+lg5ExppWh9BbyNN6yOob6Qs+FKJAwcOkJOTQ79+/bT9Q9DtyJEjXH/99eTn57NixQpycnKYMGECN954o9I5zp49S926dbFarY7QP/DAAzRt2lTpHEClF4mrvnC8vCVLltClSxcCAwO17B9g37593HTTTfz8888sWLCAnJwcZsyYQe/evbXMEx4ezoYNG353m0rFxcUUFhZq+SHkwkUYCgsLWbFihWNFPpXi4+P55z//CcDAgQO1LY4hroz00Zw+gjmNlD5WzqRGmthH0NdIk/oIahspB3+GWLp0KbNmzWLKlCmVnous6pVNq9VKUVGR461nu19//RVPT0/HW/U10eTJk/H39ycsLAyATZs2kZSUpO1aj9tuu43s7Gxq1apF7dq1tZyvnpKSUuG6jsq2qRISEuJ0Ib3VamX48OFs375dyf7T09Np3rw5R48erfT7bdu2VTKHXVBQEPPmzXMs2X/gwAEWLlyo7QcyIS6XCY2UPl6c9LFyJjVSdx/BrEbW5D7WzJftyomIiGDt2rUVLgBV/URhv9dKVd975vcsW7aM1q1bM2rUKKftH374IampqUovlIay5bRfe+010tPTnc5/jo2NVToHwNNPP83ixYsJCgrCYrHQu3dvFi5cqHwOOxPOW585c2aFVcsq21bVYmJiiImJITc312mlu4KCAoYPH65sjsWLF7Nq1apKL1q3WCzs3LlT2Sx25e/VpvreemvXriUiIoIlS5ZU+gO76ucT8ceY0kcwo5Gm9RHMaaT0sXImNNKUPoJ5jdTZR9DXyBp/8Ld06VJA/xNFQEAAoGdJ5PL279/PrFmzKmwPDQ0lODhYedymT59OYGAgoaGh2l9Vvfbaa3n++ee1zlBes2bNyM3N5fjx48qvv8nMzCQzM5PCwkJSUlKwn0CQk5Oj5Zq/sLAwAgMDWbRoEZGRkY7tderUcVpBq6qtWrUKKFv8wIT7BfXp08dxXyuArVu30rdvX2X79/T0BNB2mwtxZUzpI5jRSNP6COY0UvrozKRGmtJHMKuRuvsI+hopp31S9tb3xIkTHf8odXr00UdZtGgR9erVAyArK4sFCxYoO+0zODiYDz74oNLvVXbT1Kqm85oBu4stj2yn6x4xiYmJREZG4urqyq5duzh06BCvvPIK0dHRVb7vtWvXsnbtWk6fPk2jRo0c2318fLj//vsrvDJek9hsNu6++26lp9JcjP3UJ/tqjUVFRY7nFpXv3BQUFGhbqElcGZP6CHobaVofQX8jpY+Vk0ZenCmNNKWPoL6RNf6dPyhbGSo7O5vS0lJcXFy0zpKenu74xwdQv359Tpw4oWz/BQUFTsvN2uXl5VFUVKRsDruuXbuSnJxM+/btle/brrLlke10LZMM8NJLLxEbG8u4ceMA6NSpk7J/KxEREURERBAdHc0jjzyiZJ+/ZdasWSxdupSRI0dWeuqEylOgLBYL1113Hb/88ovyV1UvZMI7NgC33347gwYNIjQ01HH6nqgeTOoj6G2kaX0E/Y2UPlbOpEaa1Ecwp5Gm9BHUN1IO/s7r0qULkydPZtiwYU5vv6p+4rJarVitVsfpG8XFxUqjMnToUGbPns0zzzzjWHkpJyeHyMhILatmffPNN8TFxdGqVSvH2+Og9snKpOWRL2RfVtvO/gqWKnfeeSeFhYV4enqyZ88ekpKSCAsLU/6EHhERAcDs2bOV7vdi6tSpQ0hICP3798fLy8uxXfVpYeWXtNZpx44dbNu2jb/97W/k5eUREhLCiBEjaNKkie7RxCUwpY+gt5Gm9RH0N1L6+NtMaKRpfQQzGmlKH0F9I+Xg77ykpCQApyVvdbxq1bdvX6ZNm8aDDz4IwLp16+jXr5+y/U+aNIk5c+bQr18/WrZsCUBaWhoBAQE8+uijyuawmzt3rvJ9/pY9e/bw+eefA2V/VypvFnshb29vzp4963glb//+/fj4+Cid4bHHHiM2Npb09HTmz59Pnz59mD17trJTa+xuuukmwPnibZ3atWtHu3btdI/BTz/9xNKlS0lOTqawsNCxXfVF9fXq1eP+++/n/vvv58iRI6xZs4ZBgwbx7bffKp1DXB5T+gh6G2laH8GsRkofKzKhkab1EcxopCl9BPWNlGv+DFNcXMyqVasc9/q4/fbbGT9+vPJXrI4fP85///tfADp06ICfn5/S/V/IfoF0+VeIVIuJiSEhIYG7774bgO3btzNixAjGjh2rZZ5vvvmG+fPn88MPP9C+fXvS0tJ47bXXHE/0KtiXjn7nnXfIz89n3Lhxv3ldTFW52PLvdqpvAm2KMWPGMHToUFavXs0zzzzDhg0baNGiBZMnT1Y+S2lpKYmJicTHx/Pll18yaNAgx82HhbhUJjTStD6C/kZKHytnQiOlj5UzqY+gtpFy8HeeqTe/rOnS09OZMWMGSUlJWCwWOnTowNKlS2nevLnyWYYPH86GDRscp/vk5uYSHh6u5SJ/u5ycHA4ePAhAt27dlK+eNXToUNatW8fs2bN57LHH6NSpk5YFCH5v2WzVKwT+/PPPREVF8dNPP7F+/XqSk5P5+uuvCQ8PVzrHiBEjSEhIcCxGUVpaSlhYGJs2bVI6R1RUFNu3b6ddu3aMGDGCO+64QxaAqUakj+YypZHSx8qZ0EjT+ghmNNKUPoL6Rsppn+cVFBQ4fW21Wvnll1+Uz1FYWMiWLVsq3LOnpt4PKzIykr/85S+MHDkSgLi4OCIjI1mzZo2Weexhu/BzXXx8fOjVqxdWqxWg0sUIqlJERASBgYH06tWLTp06kZ6eruXUGt23SLnQvHnz6N+/P++++y4ArVu3ZtasWcoP/tzd3YGydwNOnjxJgwYNyMzMVDoDlJ3S8v7773Pdddcp37e4cqb0EaSRFzKpkdLHikxopGl9BDMaaUofQX0ja/zBn0k3vwSYOnUqxcXFdO7cWcvFyabJzMzknnvucXw9cuRI1q1bp2WWm266iSeeeMKxRHNsbKzyU0jK++ijj1i8eDFnzpwB/nfjZfv1OSqEhYURFhbm+Lpp06Zafuiw3yj1ueeeq/T7qn8wzMjIIDw8nI0bNwJlCw3oWCmxR48eZGdnEx4eTmhoKB4eHtx5551KZ7BarXz00UdMmDBB6X7FlTOtjyCNvJApjZQ+Vs6ERprWRzCjkSb0EfQ0ssYf/Jl080sou5bg73//u/L9msrFxYVjx47RunVrAFJTU7XdyPapp57i1VdfdZyD3bt3byZOnKhlFii7AfMLL7xA165dlT9pvvPOO9x///0AfPrpp/Tv3x8oWxb+1VdfVb74gX2VO53XhJbn5ub81Hru3Dl0nGFvX91txIgR9OzZk9zcXPz9/ZXO4OrqipeXl2PFO1F9mNZHkEZeyJRGSh+dmdRI0/oIZjTShD6CnkbW+IM/Hx8ffHx8nG5g+/PPP5OamkrXrl2Vz9O8eXNyc3O1nzJhyqk106ZNY/To0dx4440AJCcnX/TVq6rm5eXFzJkztey7Mr6+vtx8881a9r1582ZH2J5//nlH2AB27dql/ODv3nvvBeCuu+6iTZs2Tt9LSUlROgvAkCFDiIyMJC8vj7i4ON59913HaVkqTZ061XExf9OmTStsU6VVq1aMHj2aO++80+kHkNGjRyudQ/wxpvURzGikKX0EcxopfXRmUiNN6yOY0UhT+gjqG1njD/7s7rvvPlatWoXNZmPEiBHUrVuX/v37K78vio+PDyNHjqRfv35Op7Sojoopp9b079+fbdu28c033wBl95u65pprtMxiUvCh7Mnz3XffZejQoU6vFqm4pqH8K3QXvlqncw2pmTNnVri4vbJtVW3cuHFs2bKFc+fOkZiYyAMPPEBwcLDSGYBKb2p87Ngx5XNYrVbatWunZd/iypnSRzCjkab0EcxppPTRmYmNNKWPYEYjTekjqG+kHPyd9+uvv+Lj48MHH3zA8OHDmTlzJsHBwcrj1qpVK1q1aqV0n5Ux6dSaa6+9loEDB+oew6jgQ9mriQALFy7EYrEovaah/LLRFy4h/VtLSleVzMxMMjMzKSwsJCUlxRHXnJwcxxLoKu3bt4+goCCCgoKctpW/bqoqvf/++2zcuJG0tDSn64FycnK0PL9ERUUp36f485jSRzCjkSb1EcxopPTRmUmNNK2PoLeRpvUR1DdSDv7OKyoqAspuBHr33Xfj4uKi5bx5XfcXuZDuU2siIiJYu3Ytt912m9MTpf0JfN++fcpnMiX4J0+epGnTpiQnJ1f43uHDh5XMkJGR4Ti1qPznNpuN06dPK5mhvK1bt7J27VpOnz7NuHHjHNt9fHz461//qnye5557rsKrqZVtqyp9+vTBz8+PRYsWOb3yXqdOHW644QYlM5SXn5/PqlWrSE9PZ/ny5aSkpJCamsrgwYOVzyL+OFP6CGY0UncfwbxGSh+dmdRI0/oIehtpWh9BfSPl4O+8nj17MnToUKxWK08//TTnzp3TcpEwwGeffUZSUhKFhYWObaqCZ3+C0n1qzdKlS4Gy8+ZNYULwASZNmuR4grznnnuIjY11fO+pp55S8uR53333Vfo5oPx2BlD2g1BERATR0dE88sgjyvdvd/z4cdLS0sjNzSUxMdGxPScnh/z8fGVzNGvWjGbNmrFt2zbHtnPnzmm5zxXAggULaNiwoeMHsiZNmjBjxgw5+KsmTOoj6GukKX0E8xopfXRmUiNN6SOY0UjT+gjqGykHf+fNnz+f5ORkmjdvjru7Ozk5OY5Vq1RatmwZhw4d4ujRowwaNIidO3cqO1UM/rcalO5Taxo1agTA9u3bnV6pAnjjjTcqbFPBhOCD8/UC5a+tuPB7VcmEV9/LO3nyJABBQUGcPHkSi8XCNddco3x1yYMHDxIXF8fZs2eJiYlxbK9Tpw5z5sxRNsdbb71Fv379aNOmDVarlUceeYQ9e/bg6+vLq6++Svfu3ZXNAvDdd9+xZMkSPvvsMwC8vb0pLS1VOoO4fKb0EfQ20pQ+gnmNlD46M6mRpvQRzGikaX0E9Y2Ug7/zUlJScHd359SpU45tOs5bT0xMJD4+ntDQUBYuXMikSZOYN2+esv3bn7BSUlKMWBWqsrBVtk0FE4IPZl1LYIrQ0FDHdR12ubm5dO3aleeee86xkldVCwkJISQkhLi4OEJDQ5XsszKxsbGOVcI+/PBDTp48yd69ezl8+DDLli1jw4YNSue58Lm0sLBQ68JA4o8xpY+gt5Gm9RHMaaT00Vym9BHMaKRpfQT1jZSDv/PGjx/veHAUFRVx9uxZmjZtyq5du5TO4eHhgZubGxaLheLiYho3buwUXFV0rwq1d+9ePvvsM06fPu20bHVubq62HxpNeSWv/EXbF17AXf40qJrkiy++qLDNarXy3nvvsWjRIl577TWl84SGhpKTk0NqaqrT38ktt9yiZP+urq64u7sDZRfRBwcHc+211zJgwADHQggq9ejRg+joaIqKiti/fz9r1qwhICBA+Rzi8pjSRzCjkbr7COY1UvpoLtP6CHobaVofQX0j5eDvvAsjtm/fPj799FPlc3h7e5Ofn0+3bt2YM2cODRs2pFatWsr2b8qqUO7u7nh7e2OxWJzuedKoUSPGjx+vbI7yTFnKuqCgwOlV3fKf19RXNivj6urK6NGjna75UGX79u0sWbKEc+fO0ahRI06cOEH79u2V/XBotVopLi7G3d2dgwcPOq1oVlxcrGSG8qZNm0ZMTAze3t4sXbqUgIAAbY9j8ceZ0kfQ20hT+gjmNVL6WL3o7CPobaRpfQT1jZSDv4vo1auXlhulrlixAldXV2bPns2aNWvIyclResNJU1aF6tmzJz179uSOO+7A399f2X5/iylLWet4tb06s1qtyvcZHR1NXFwcY8eOJSEhgb179/KPf/xD2f6HDBnCQw89RP369bFYLHTr1g2AH3/8EW9vb2Vz2Lm7uzNhwgQmTJigfN/iz6erj6C3kab0EcxrpPSxetLRR9DbSNP6COobKQd/5x09etTxeWlpKYcOHXIsb61SgwYNHJ9PnDhR+f5NWhUKyu5fNHPmTH766SfWr19PcnIyX3/9tZYVJU1ZytoEI0eO/M1XUVW/mljZKmHZ2dm89957tGvXTuksAG5ublx77bWOsPbp04dly5Yp2//UqVPZsWMHp06dYv78+Y6VGbOzs5kyZYqyOfbv34+fnx9NmjQByhai2LZtG9dffz2RkZE0btxY2Szi8pnSR9DbSNP6COY0UvrozKRGmtZH0NtIU/oI+hopB3/nlX971c3NDT8/P5599lnlcxw7dozXXnutwqkTqp4o7E8SERERlT5h1K5dW8kcdvPmzaN///68++67ALRu3ZpZs2ZpOfgzZSlrE+i4ufNv6datm9MF7fbVzHr37s2TTz6pfB4PDw9sNht+fn68/fbbNGvWTPlpYYGBgRW2dezYUekMzz77LG+99RZQdt3Jm2++SWRkJElJSSxevJiVK1cqnUdcHlP6CHobaVofwZxGSh+dmdRI0/oI+htpQh9BXyPl4O88U04VmD59OoGBgYSGhmq5ia79SQIqLotssVhISkpSOk9GRgbh4eFs3LgRKHvCUH1/KZPu7WSKnj176h7BSWU39NVp6tSp5ObmMnPmTBYsWEBOTg4LFizQPZZyJSUl+Pr6AmXPsSNHjmTo0KHcddddBAUFaZ5OXCpT+gh6G2laH0F/I6WPlTOpkab1EaSRdroaWeMP/srfZLIyAwYMUDRJmdLSUq2nk5j2JOHm5vxP9Ny5c8pXMjPp3k6mycnJ4Y033qhww+V169ZpnEqf9evXOz4/duwYUHZ9gf1rlffsNM2///1vx/UMsvBC9WBaH0FvI03rI+hvpPTxt0kjnUkjL05lI2v8wZ/9JpNFRUUcOnTIceH0kSNH6Ny5s/K4de3aleTkZNq3b690v6YaMmQIkZGR5OXlERcXx7vvvsvIkSOVzmDKEtYmmjt3Lm3atCEtLY2pU6eyefNmLadOmGLRokV07NjRiAUYSktLOXLkiNbnEn9/f5YuXUqjRo1IS0vj1ltvBcqWoxfmM62PII28kO5GSh9/mzTSmSmNNKGPoK+RFpvcaRcoO5UkIiKCLl26APDNN9+wdu1ali9frnSOESNGcPToUVq1aoWnp6dju+oFNJKTk5k/fz7JyclOF/brOK1ly5Yt7Nq1C5vNRkBAAMHBwcpnAFi8eDGTJ0+mXr16AGRlZfHqq69qO2feBEFBQWzZsoXhw4ezdetWioqKePDBB3nvvfd0j6ZFXFwc8fHx5OfnExISwrBhwxyndOhg/3vR5dy5c7zwwgucOnWKBx54wPGq7ueff853333HmDFjtM0mLp0pfQQzGmlSH8GMRkofKyeNdGZSI3X3EfQ1ssa/82f3/fffO8IG0LlzZ44cOaJ8jrlz5yrfZ2UWLFjAY489RlRUFDExMaxfv175ErhWq5WJEyeyatUqI64POnDggCNsAPXr1+fLL7/UOJF+9ms73N3dyc7OxtfXl8zMTM1T6RMaGkpoaCjp6ekkJCRw77334u/vz4QJE7S8wujn58cPP/zA9ddfr3zfAHXr1iUyMrLC9t69e9O7d28NE4nLYUofwYxGmtBHMKuR0sfKSSOdmdRI3X0EfY2Ug7/zateuzQcffOB4xWzLli1aVu4y5SLhoqIievXqhc1mo1GjRkybNo2RI0cqvXmsq6sr2dnZ2Gw2I64Rqux+OOVXm6uJWrZsSXZ2NsOHDycsLAwfH58afUqLXfPmzXnooYdo0KABL730En379tVy8JeXl0dQUBDdu3d3uhG0ynuHiurPlD6CGY00oY9gViOlj5WTRlbOhEbW5D7Kwd95UVFRzJo1i3nz5mGxWPD392fJkiXK9r906VJmzZrFlClTKn0SV/2P0b6Kmq+vL8nJyTRu3JisrCylMwB06dKFSZMmMWzYMKdXVnVca9KpUycWL17MuHHjsNlsxMTE0KlTJ+VzmMR+X54xY8bQqVMncnJy6Nevn+ap9LHZbOzZs4e4uDi+//577rrrLt5//32aN2+uZZ6goCDt7wiI6k93H8GsRprSRzCnkdLHykkjnZnUyJrcR7nm7wL2iyxV36smNDTUcS50cXEx7u7uTt8PCQlROs+aNWsYMWIEhw4dYurUqZSWljJlyhTGjh2rdI4HHnigwjaLxaJlpazc3Fz+9re/8c9//hOLxcLtt9/OE088gY+Pj/JZTJKamkpKSgqDBw8mNzeXkpISp9N/apJ+/frRqFEjQkND6dmzZ4UfUtu2batpMiGunK4+glmNNKWPYE4jpY8XJ438H2mkGeTgr5wTJ05w4sQJp9MXVL16NmLECBISEoCyiMXHxyvZ76UoLi6msLBQbt4qKoiLi+P111+nuLiYnTt3cuzYMRYuXOi4aWlNExAQ4Pi8/E117V/v3LlT6TxpaWk88cQTZGRksGvXLr799lt27drFo48+qnSO3NxcvLy8cHFx4ciRI3z//fcMGTLE6X5gwmw6+wjmNlL6KH6LNNKZSY00pY+gvpFy2ud5y5cvZ9OmTbRp08Zxg1SLxaIsbuVf/TDheNxmsxEbG0taWhqzZs0iIyODI0eOcPPNNyudIyEhgYEDBzpWg8rOzubTTz/V8lZ9fn4+q1atIj09neXLl5OSkkJqaiqDBw9WPosp1q1bx+bNmxk9ejQArVu35uzZs5qn0sekm2FD2cIUEyZMcKzKeOONN/L4448rj9uDDz7IO++8Q15eHmPHjsXf3589e/bw7LPPKp1DXB7dfbTvz053I03pI5jTSOlj5aSRzkxqpCl9BPWNdKmSP7Ua2rFjB5988gnr16/n7bff5u2331Z62kRhYSEpKSkcPXqUoqIix+f2D9WioqL44osvHK/CeHt788wzzyifY/Xq1U7LANerV4/Vq1crnwPKnihKSkocN/pt0qQJL7/8spZZTOHu7l5hlTv79TBCv5ycHPr37+/4wdnFxaXC6XIq2Gw2vLy8+Oc//8lf/vIX3nzzTb799lvlc4jLo7uPYFYjTekjmNNI6WPlpJHmMqWPoL6R8s7feQ0bNtR62kZBQQHjxo1zfF3+cx2ni+3fv5+EhATHdRT169ensLBQ6QwXU9mqYip89913LFmyhM8++wwoC35paamWWUxRr149UlNTHU+eH3zwAU2aNNE8lbBzdXWluLjY8feTkZHheOdGpcLCQoqKiti7dy/3338/gJY5xOXR3Ucwq5Em9xH0NFL6WDlppLlM6SOob6Qc/J3XtWtXpk+fTmBgoNONY1Wd1mLSW+EAnp6eTqfZ6HoSb9iwIR999BF33HEHAP/4xz+49tprtcxy4bnXhYWF2k8/0m3u3LnMmDGD1NRUAgICqFWrFtHR0brHEufdd999TJ48maysLFauXElCQgLTpk1TPsfQoUPp06cPfn5+3HzzzZw5c8bpeVaYTXcfwaxGmtJHMKeR0sfKSSPNZUofQX0jZcGX80xZMcsU8+bNo2fPnrz55pu88sorvP7667i4uLBgwQKlc6SkpDBx4kRHXF1dXXn11Vdp3bq1shk++eQTBg8ezHPPPUfdunXZsmUL8+fPZ82aNdxwww3anixMYbVaSUtLw2az0apVK7KysmjQoIHuscR5Bw4cYPfu3dhsNgICAujRo4eWOX755Rd8fHxwcXEhLy+P3NxcGjdurGUW8cdIH52Z0kfQ30jp4++TRprLlD6C2kbW+IO/37tWoKYuO5ubm8uzzz7reLU1ICCAJ554osK56ypYrVZSU1MBaNWqlfLz5e0ryxUXFxMTE8OuXbscTxTjx4/Hza1mvoF+5swZMjIyaN++PW5ubmRmZhIdHU18fDxffvml7vGEYXSvFin+OOlj5UzqI+htpPTx4qSR4o9Q2cgaf/BnX3b2wnuN2Gw2LdfaCWepqak0bdoUT09P9uzZQ1JSEmFhYU4XuFc1k5YVN8WmTZt4+umn8fX15ZprrmHq1KnMmTOHvn37Mn36dFq0aKF7RAEcO3aM6OhoTpw4QUlJiWN7bGys0jkutlpkTX3nqLqQPppPdyOlj5WTRprPlD6C+kbW+IM/4ez3Xo265ZZbFE1SJjg4mNjYWE6dOkVERAR9+vThzJkzSs+Z7927NyNGjLjo9x9//HFls5ji7rvv5oUXXqBdu3Z89dVXPPjggyxfvpzAwEDdo4lyhg8fTnBwMB07dnR6N6Bnz55K5xgyZAjx8fHaFw0R4kqY1kfQ30jpY+WkkeYzpY+gvpE19/14Uany9xQ5duyY03UDFotF+Ssi9qV3ExMTCQ8PZ9y4cQQHByufwcvLS+k+Tefm5ka7du0A6N69O82bN5eoGcjNzY2//vWvuscwYrVIIa6UaX0E/Y2UPlZOGmk+U/oI6hspB3/CyebNmx2fjxgxwulrHQoLCzl79iy7d+/mscceA9Tf4Ldhw4ZMnjxZ6T5NV1xcTEpKiuPvwsXFxenrmnotkGnWMmDsAAAfIUlEQVT69etHYmKi9mvrTFgtUogrZVofQX8jpY+Vk0aaz5Q+gvpGysGfuKgLr/PQISIigsDAQHr16kWnTp1IT0/Hx8dH6QxyZnRFF95zC/533y25FsgcvXr1YuLEibi4uODh4eG4Vmvfvn1K5zh06BAAb7/9tmObxWIxIrpCXA4T+gj6Gyl9rJw00nym9BHUN1Ku+RMXZeKF3FarFavVWuGeQlXps88+o2/fvsr2J8SfZciQIcyYMYOOHTs63TC2WbNmGqcSovozsY+gvpHSR1Fd1eQ+yjt/wkn5pb0LCwudTlMAdacqfPXVV3Tv3p3ExMRKv6/yHQMJm6iufH19jbnOZM+ePXz++edA2WOqT58+micS4o8xpY9gTiOlj6K6MqmPoLaR8s6fcGJf2rsyKk9VmDdvHosXL5abCwtxBaKjo/H19eWuu+5yuo6gdu3aSueIiYkhISGBu+++G4Dt27czYsQIxo4dq3QOIa6EKX0EaaQQV8qUPoL6RsrBnxBCXKXat2/v+NxisTiuaUhKSlI6x/Dhw9mwYYNjNbPc3FzCw8PZunWr0jmEEEIIMKePoL6RctqnMFZubi5btmxxnGrj7+/PsGHDtC4Zn5+fz6lTp7BarY5tsmqXMFVycrLuERzKP27ltg9CXDnTGil9FNWJSX0EtY2Ud/6EkTIyMrj33ntp3LgxnTp1wmazcfjwYTIyMnjvvfdo3Lix8pnWr1/PsmXLqFevnmOlN1m1S5gsPz+/0u2qT2t54oknABg1ahQAsbGx2Gw2oqKilM4hxNXCtEZKH0V1Y0ofQX0j5eBPGCkyMpIGDRowZcoUp+0vv/wyGRkZLFq0SPlMgwYNYt26dTViJShxdWjfvr3T6Sx2qk9r+fXXX3nllVccS2j37t2biRMnys2hhbhMpjVS+iiqG1P6COobKad9CiMdOHCALVu2VNj+8MMPExQUpGGispvZSthEdVL+tJbCwkK2bt1KVlaW8jm8vLyYNWuW8v0KcbUyrZHSR1HdmNJHUN9IOfgTRnJ1dcXNreI/T3d390q3q9C7d2+ee+457r77bqeVoeSaBlEdeHp6cs899zBy5MgKNx+uKn//+9+56667WL9+faXfHz16tJI5hLjamNZI6aOoznT0EfQ1Ug7+hJF+K166Dv4SEhIA2LFjh2ObXNMgTFb+mobS0lIOHTpETk6Osv1///333HXXXRw+fFjZPoWoCUxrpPRRVDe6+wj6GinX/AkjdezYkbp161bYbrPZyM3NlR8mhbgE5a9pcHV1xc/Pj9mzZyu7AbRdbm5uhdXLKtsmhLg00kghrowpfQT1jZSDP2GkH3/88Te/r+vagqNHj7J//34AbrvtNtq0aaNlDiGqk5CQEOLj4393mxDi0pjYSOmjEJdHdSPltE9hJBMvHE9ISGD58uWOV4VWrVrFzJkztS1AI8TvSU1NpWnTpnh6erJnzx6SkpIICwvD19dXyf5LSkooLi6mtLSUgoIC7K815uTkXHSZbSHE7zOtkdJHUd3o7iPoa6S88yfEJQoKCuLNN9+kYcOGAJw5c4axY8dWuuKaECYIDg4mNjaWU6dOERERQZ8+fThz5gzR0dFK9v/yyy/z8ssvO06tsatTpw5jxoxh0qRJSuYQQlQt6aOobnT3EfQ1Ut75E+IPsIftws+FMJGLiwvu7u4kJiYSHh7OuHHjCA4OVrb/yZMnM3nyZBYuXEhkZKSy/Qoh1JM+iupEdx9BXyNdlO1JiD+otLTU6T4surVo0YKXXnqJjIwMMjIyePnll2nevLnusYS4qMLCQs6ePcvu3bu57bbbANBxsocc+Anx5zOpkdJHUd2Y0kdQ30g5+BPGcnFxMerG0E8//TSpqakEBQURHBzMsWPHWLhwoe6xhLioiIgIAgMD8fLyolOnTqSnp+Pj46N8juTkZMLCwujSpQs33nij40MIcflMaqT0UVQ3pvQR1DdSrvkTRps8eTJz5szh+uuv1z2KENVeaWkpJSUleHh4KN3vvffey9SpU4mKiiImJob169fj7e3N+PHjlc4hxNVGGinEn0NXH0F9I+WaP2G0vLw8goKC6N69O15eXo7tL774orIZvvrqK7p3705iYmKl39dxTxghLtW+ffs4ceIEJSUljm2jR49WOkNRURG9evXCZrPRqFEjpk2bxsiRI+XgT4grpLuR0kdRnZnQR1DfSDn4E0YLCgrSvlR0fHw83bt3JyYmpsL3LBaLxE0Ya/bs2Xz77bd06NABV1dXbXPY9+3r60tycjKNGzcmKytL2zxCXC10N1L6KKorU/oI6hspp30KIcRV6s4772Tbtm24u7trnWPNmjWMGDGCQ4cOMXXqVEpLS5kyZQpjx47VOpcQQoiayZQ+gvpGyoIvwmhpaWmEh4cTEBAAwLfffsvKlSu1zBIeHn5J24QwRZMmTXSPAMCYMWOoX78+/fv351//+hd79+6VAz8h/gSmNFL6KKobU/oI6hspB3/CaAsWLGDChAmOFZhuvPFGduzYoWWWgoICp6+tViu//PKLllmEuBQtW7bkoYceYs2aNaxfv97xoVpCQoLjseLu7k5JSYnc/FmIP4EpjZQ+iurGlD6C+kbKwZ8wWk5ODv3798disQD/uymnSjExMdx22218//339OrVy/HRo0cPevTooXQWIf6IoqIiWrRowZEjRzh8+LDjQ7XVq1fj6+vr+LpevXqsXr1a+RxCXG10N1L6KKorU/oI6hspC74Io7m6ulJcXOwIW0ZGBi4ual+zCAsLIzAwkEWLFjndiLNOnTpOD1YhTBMVFaV7hIuyWq26RxCi2tPdSOmjqK5M7iNUbSPl4E8Y7b777mPy5MlkZWWxcuVKEhISmDZtmtIZfHx88PHxYdWqVUr3K8SVstlsbNy4kc8//xyAvn37MmrUKMcPiqo0bNiQjz76iDvuuAOAf/zjH1x77bVKZxDiaqS7kdJHUV2Z0kdQ30hZ7VMY78CBA+zevRubzUZAQIC2U0l++uknli5dSnJyMoWFhY7tO3fu1DKPEL9nyZIlJCUlERoaCpRdV9C+fXsef/xxpXOkpKQwceJESktLgbJ3K1599VVat26tdA4hrkYmNFL6KKobU/oI6hspB39CXKIxY8YwdOhQVq9ezTPPPMOGDRto0aIFkydP1j2aEJUaPnw48fHxuLmVneRRXFxMaGgoW7duVT6L1WolNTUVgFatWmm/r5IQ4s8jfRTVjUl9BLWNlNM+hdGOHTtGdHQ0J06coKSkxLE9NjZW+SxZWVmMGjWKdevW0a1bN7p06UJYWJjETRit/Cksqk9nKSoqwsPDg/z8fACaNWvm2A5Qu3ZtpfMIcbUxpZHSR1Ed6ewj6GukHPwJo02dOpXg4GBCQkK0v1NgX0HNy8uLkydP0qBBAzIzM7XOJMRv6du3L+PGjSMkJAQoO62lb9++yvYfFhZGfHw83bp1w2KxYLPZnP43KSlJ2SxCXI1MaaT0UVQ3uvsI+hopB3/CaG5ubvz1r3/VPQYAPXr0IDs7m/DwcEJDQ/Hw8ODOO+/UPZYQFzVr1iw2btzIxx9/DMDgwYMJCwtTtv/4+HgAkpOTle1TiJrElEZKH0V1o7uPoK+Rcs2fMNqKFSvo3r07AwYM0D2Kk5MnT5Kbm4u/v7/uUYSowGq1UlRUVOGUkfz8fDw8PLS9Q1BUVOS0fLWc9inElTGxkdJHYTJT+wjqGikHf8Jo+/btY+LEibi4uODh4eF4K3zfvn1a5snPz+fUqVNOD862bdtqmUWIi1myZAmtW7dm1KhRTts3bdpEamqq8tXMPvroIxYvXszp06fltE8h/kQmNVL6KKoD0/oI6hspB3/CaEOGDGHGjBl07NjR6ca19otiVVq3bh3PP/889erVc1wYbLFYZClrYZzQ0FBiY2Mr3OzZarUSHBzMtm3blM4zZMgQlixZQteuXZXegFqIq50pjZQ+iurCtD6C+kbKNX/CaL6+vgQGBuoeA4C1a9eyY8cOGjdurHsUIX6T1WqtNCCurq5aVjTz9fXl5ptvVr5fIa52pjRS+iiqC9P6COobKS/BCqMNHjyYDRs2kJ2dTX5+vuNDhyZNmkjYRLVQUFBQ6eMkLy/PsYS0SkOGDOHdd9814nEsxNXElEZKH0V1YVofQX0j5bRPYbT27ds7Ptd9rdAXX3zB1q1bGTBgAJ6eno7tJl1oLwTAiy++SEpKCs888wx16tQBICcnh8jISFq0aMG0adOUzmPS41iIq4kpjy3po6guTOsjqH8cy8GfEJcoKiqKrVu30qpVK8cpAxaLhXXr1mmeTAhnJSUlzJkzh507d9KyZUsA0tLSCAgIYMmSJbi5yRn/Qog/j/RRVBfSRzn4E4a72NveOpaIDwgIYPv27dSqVUv5voW4HMePH+e///0vAB06dMDPz0/LHCY9joW4mpjy2JI+iurGlD6C+sfx1X94K6q1bt26Ob0FbqfjdLHmzZvXiFeExNXDz89Pa9DsTHocC3E1MeWxJX0U1Y0pfQT1j2N5pAqjJScnOz4vLCxk69atZGVlaZnFz8+PiIgIBg8ejIeHh2P76NGjtcwjRHVh0uNYiKuJKY8t6aMQl0/141hW+xTVhqenJ/fccw87duzQsv/i4mJatGjBkSNHOHz4sONDCHHpdD+Ohbha6XxsSR+F+HOoeBzLO3/CaOXPgy4tLeXQoUPk5OQon8NqtXLdddcxZcoU5fsWoroz5XEsxNXGhMeW9FGIK6P6cSwHf8Jo5c+DdnV1xc/PjyeffFL5HK6urnz66acSNyEugymPYyGuNiY8tqSPQlwZ1Y9jWe1TiEv08ssvU7t2bUaMGIGXl5dju6xYKIQQoiaTPgpRfcjBnzBaamoqTZs2xdPTkz179pCUlERYWBi+vr7KZyl/E047uVG1EJcmPz+fU6dOYbVaHdvatm2rcSIhqj9TGil9FOLKqGykHPwJowUHBxMbG8upU6eIiIigT58+nDlzhujoaN2jCSEu0bp163j++efx9fV1ugH0zp07NU8mRPUmjRSi+lPdSLnmTxjNxcUFd3d3EhMTCQ8PZ9y4cQQHB2ubJysri//85z8AdO3alXr16mmbRYjqYu3atezYsYPGjRvrHkWIq4pJjZQ+CnF5VDdSbvUgjFZYWMjZs2fZvXs3t912GwC63qzes2cPd911F2vXrmXt2rUMHTqUvXv3aplFiOqkSZMmcuAnRBUwpZHSRyEun+pGyjt/wmgREREEBgbSq1cvOnXqRHp6Oj4+Plpmef7551m/fj1t2rQBICUlhVmzZtGnTx8t8whRXTz66KM8+eSTDBgwAE9PT8f2AQMGaJxKiOrPlEZKH4W4fKobKQd/wmhhYWGEhYU5vm7WrBlr1qzRMktJSYkjbABt2rShpKREyyxCVCe7d+9m9+7dpKWlOV3PIAd/QlwZUxopfRTi8qlupBz8CePt27ePEydOOIVk9OjRyue45ppriIuLIzQ0FID4+HiuueYa5XMIUd18/PHH7Nq1i1q1aukeRYirjgmNlD4KcflUN1IO/oTRZs+ezbfffkuHDh1wdXXVOsvChQuZOXMmCxYsAODGG29k2bJlWmcSojpo3rw5bm6SGyH+bKY0UvooxOVT3UipsTDav//9b7Zt24a7u7u2GbZt28awYcOwWCy8//775OXlAeDt7a1tJiGqEz8/PyIiIhg8eDAeHh6O7TrewRfiaqK7kdJHIa6c6kbKap/CaE2aNNE9AqtXrwZgypQpQFnUJGxCXLri4mJatGjBkSNHOHz4sONDCHFldDdS+ijElVPdSLnJuzDa/PnzOXr0qNZ3DEJCQrj55pvZsWNHpfdPevzxx5XNIoQQQtjpbqT0UYjqR077FEYrKipyvBqiywsvvMBHH32ExWLBy8tL2xxCVGcmLEohxNVGdyOlj0L8OVQ2Ut75E+ISbd26leHDh+seQ4hqZ+bMmRw5coT27ds7LUoRFRWlcSohxJ9F+ijE5VPdSDn4E0az2Wxs3LiRzz//HIC+ffsyatQoLBaLlnlOnDjBiRMnsFqtjm1yrzIhfltgYCAffvih9hV7hbjamNRI6aMQl0d1I+W0T2G05557jqSkJMe9gxISEkhLS9NyHcGKFSt4//33adOmjdyoWog/oEWLFuTn51OnTh3dowhxVTGlkdJHIS6f6kbKO3/CaMOHDyc+Pt5x/5Pi4mJCQ0PZunWr8lmGDBlCfHy8/AArxB+UkpLCzJkz6d69u9OiFLIYhBBXxpRGSh+FuHyqGynv/AnjlT99RdfpngANGzaUsAlxGRYvXkzjxo3x8fGRUz+F+JOZ0EjpoxCXT3Uj5eBPGK1v376MGzeOkJAQoOyUlr59+2qZpWvXrkyfPp3AwEA8PT0d2+W0FiF+26lTp/j73/+uewwhrjqmNFL6KMTlU91IOfgTRps1axYbN27k448/BmDw4MGEhYVpmeXQoUMAvP32245tck2DEL/vhhtu4PTp0zRq1Ej3KEJcVUxppPRRiMunupFyzZ8wktVqpaioiNq1azttz8/Px8PDQ04dE6IaGTt2LIcPH6Zbt25O7wq8+OKLGqcSovqSRgpx9VDdSHnnTxhp2bJltG7dmlGjRjlt37ZtG6mpqUoXijh69Ohvfr9t27aKJhGieho2bBjDhg3TPYYQVw1TGil9FOLKqW6kvPMnjBQaGkpsbKxjyWg7q9VKcHAw27ZtUzZLQEDARb9nsVjYuXOnslmEEEIIUxopfRSi+pF3/oSRrFZrhagBuLq6Kl/NbNeuXUr3J8TVJjMzk0WLFrFv3z4A+vTpw5NPPsk111yjeTIhqidTGil9FOLKqW5kxWcOIQxQUFBAfn5+he15eXkUFRVpmEgIcbnmz59Py5Yt+eCDD0hISMDPz4/IyEjdYwlRbUkjhbh6qG6kHPwJIw0dOpTZs2eTm5vr2JaTk8O8efMIDAzUOJkQ4o86ceIEU6dOpXHjxjRp0oQpU6aQnp6ueywhqi1ppBBXD9WNlIM/YaRJkybh4eFBv379CAkJISQkhP79++Pi4sKjjz6qezwhxB9QWlrKzz//7Pj6559/prS0VONEQlRv0kghrh6qGykLvgijHT9+nP/+978AdOjQAT8/P80TCSH+qISEBJYvX87tt98OQGJiIjNmzCA4OFjvYEJUc9JIIao/1Y2Ugz8hhBBV7vvvv2f//v0A3HrrrbRr107zREIIIYQZVDZSDv6EEEJUqczMTOrUqYOHhwcARUVF5ObmymqfQgghajzVjZRr/oQQQlSphx9+GKvV6vi6pKSERx55RONEQgghhBlUN1IO/oQQQlSpoqIiateu7fjay8uLwsJCjRMJIYQQZlDdSDn4E0IIUeUyMzMdn8tqn0IIIcT/qGykW5X9yUIIIQTwwAMPEB4e7li57IMPPmD8+PGapxJCCCH0U91IWfBFCCFEldu/fz+JiYkA3H777fTs2VPzREIIIYQZVDZSDv6EEEIokZmZKSt8CiGEEJVQ1Ui55k8IIUSV+s9//sPAgQMJCQkB4NChQzz11FOapxJCCCH0U91IOfgTQghRpaKionjjjTeoX78+AJ06deLgwYOapxJCCCH0U91IOfgTQghRpYqLi2nbtq3TNnd3d03TCCGEEOZQ3Ug5+BNCCFGlPDw8yMvLw2KxAHD06FE8PT01TyWEEELop7qRsuCLEEKIKpWYmMhrr71Geno6/fr1Y8+ePSxdupTevXvrHk0IIYTQSnUj5eBPCCFElUtPT2fPnj3YbDb69u2Ln5+f7pGEEEIII6hspBz8CSGEEEIIIUQN4KZ7ACGEEFenkSNHOq5hqExsbKzCaYQQQghz6GqkvPMnhBCiSvzrX//6ze/37NlT0SRCCCGEWXQ1Ug7+hBBCKJGZmck111yjewwhhBDCOKoaKbd6EEIIUaX+85//MHDgQEJCQgA4dOgQTz31lOaphBBCCP1UN1IO/oQQQlSpqKgo3njjDerXrw9Ap06dOHjwoOaphBBCCP1UN1IO/oQQQlSp4uJi2rZt67TN3d1d0zRCCCGEOVQ3Ug7+hBBCVCkPDw/y8vIcq5odPXoUT09PzVMJIYQQ+qlupBz8CSGEqBJz584F4JFHHmHs2LGcPn2aOXPmEBERwdSpUzVPJ4QQQuijq5Fynz8hhBBVIikpCYABAwbQunVr9uzZg81mY8KECfj5+WmeTgghhNBHVyPl4E8IIUSVa968Offdd5/uMYQQQgjjqGyk3OdPCCFElejYsSN169atsN1ms2GxWNi3b5+GqYQQQgj9dDVS3vkTQghRJVq2bMnrr7+uewwhhBDCOLoaKQd/QgghqoSHhwfNmjXTPYYQQghhHF2NlNU+hRBCVAm5l58QQghROV2NlGv+hBBCCCGEEKIGkHf+hBBCCCGEEKIGkIM/IYQQQgghhKgB5OBPCCGEEEIIIWoAOfgT4gp8+OGHjBo1iq5du9KrVy9GjRrF+vXrsV9KO2fOHJ5//nnHry8qKmLlypXccccddO3alYCAAJ544gl++OEHAL7//nv+7//+j549e9KjRw9CQ0NJTEysdN9FRUU8++yz9O/fn27duhEQEMDf/va3K/5vuuGGGzh+/PgV/zlCCCFqNmmkEOaRWz0IcZlWr15NTEwMkZGR9O3bF29vb5KSknjzzTcZNWoUHh4eFX7PlClTyMjIYNmyZXTo0IH8/Hy2bNnCvn37GDVqFI888gjh4eFER0cDcOjQIS62JtPrr7/O4cOH2bRpE40aNeLHH3/kwIEDVfrf/HtKSkpwc5OnFSGEqOmkkRVJI4URbEKIP+zcuXO2Ll262Hbs2PGbv2727Nm2FStW2Gw2m23v3r22Tp062U6ePFnpr/35559t/v7+tl9++eWSZhg/frxtzZo1F/3+qVOnbJMnT7bdeuuttoEDB9rWrl3r+F5JSYnttddesw0aNMjWtWtXW0hIiO3kyZO2++67z+bv72/r0qWLrWvXrrYPP/zQZrPZbBs3brQNHjzYdsstt9gefvhh26lTpxx/lr+/v+2dd96xDRkyxDZw4MBLml0IIcTVSxopjRTmkpcfhLgMX3/9NUVFRQwaNOiSf8/nn39O586due666yr9fv369fHz82PWrFmO02QaNGhw0T+vS5cuvPXWW7i7u9OjRw/8/f2xWCwAlJaWMmHCBAICAli+fDkZGRk89NBDtGrVin79+rFmzRo+/PBDXn/9dVq1asV3331HrVq1WL9+PTfccAMffPABfn5+AOzbt4/ly5ezevVq2rVrx5IlS5g+fTrr1693zPLJJ5/w/vvvU6tWrUv+/0MIIcTVSRopjRTmkmv+hLgMWVlZ1K9f3+n0jXvvvZcePXrQuXNnvvzyywq/Jzs7m4YNG170z7RYLKxbt45mzZrx7LPP0rdvX0aPHk1aWlqlv/7hhx9m3LhxbN26lZEjR9KvXz/i4+OBslNhMjMzmTx5Mh4eHjRv3py//OUvbN++HYBNmzYxdepUWrdujcVioX379tSvX7/S/dj//I4dO+Lh4cH06dP597//7bgGA2D8+PHUq1dPwiaEEEIaKY0UBpN3/oS4DPXq1SMrK8vp/P333nsPgP79+1NaWlrp77lYpOyaNGlCZGQkAD/99BNPPfUUs2fPZuPGjRV+raurK6NHj2b06NEUFBSwefNm5s6dS+fOnfnxxx85ffo0PXr0cPx6q9Xq+PrUqVO0aNHikv5bT58+TceOHR1fe3t7U69ePTIyMrj++usBLvpKrRBCiJpHGimNFOaSd/6EuAzdunXDw8ODnTt3XvLv6d27N9988w2nTp26pF9/3XXXMXr0aI4cOfK7v7ZWrVqMHj2aunXrcvToUa677jquv/56Dhw44Pj4+uuveeONN4CygJ44ceKS5rBfKG/366+/kp2dTePGjR3b7KfSCCGEENJIaaQwlxz8CXEZ6taty6RJk3j66afZsWMHubm5lJaWkpSURH5+fqW/p3fv3vTu3ZtJkyZx+PBhSkpKyM3NZcOGDcTGxvLLL7/w0ksvcfz4cUpLS8nMzGTz5s107dq10j/vrbfeYv/+/RQUFFBSUkJ8fDx5eXl06NCBzp074+3tzeuvv05BQQFWq5UjR47wzTffADBq1ChefPFF0tLSsNlsJCcnk5WVBUCDBg1IT0937GfYsGHExcWRlJREUVERK1asoHPnzo5XNIUQQojypJHSSGEuOe1TiMs0btw4GjduTExMDLNnz6Z27do0b96cmTNn0q1bt0p/z0svvUR0dDTTpk3jzJkz1K9f3xE7d3d3fvzxR8aMGUNWVhZeXl7ceuutPPXUU5X+WbVr12bJkiUcP34ci8VCy5YtWblyJc2bNwcgOjqaJUuWMGjQIIqKimjVqhWPPfYYAGPGjKGoqIj/+7//Iysri9atW/PKK68AMHnyZObMmUNBQQELFy5k6NChTJ06lUcffZRz587RrVs3p/syCSGEEBeSRgphJovNdpEbpAghhBBCCCGEuGrIaZ9CCCGEEEIIUQPIwZ8QQgghhBBC1ABy8CeEEEIIIYQQNYAc/AkhhBBCCCFEDSAHf0IIIYQQQghRA8jBnxBCCCGEEELUAHLwJ4QQQgghhBA1gBz8CSGEEEIIIUQNIAd/QgghhBBCCFED/D8S+o4HESEHrgAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "On the left, we see the number of records per sector. The plot on the right shows the number of sub-industries in each sector.\n",
        "* Industrials has the most records in our data set, followed by financials, health care, and consumer discretionary.\n",
        "* Consumer discretionary, however, boasts the most sub-industries."
      ],
      "metadata": {
        "id": "CxbOnweGp1E0"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(8,5))\n",
        "plt.title('Price Change by Sector')\n",
        "sns.barplot(\n",
        "    data=data,\n",
        "    x='GICS Sector',\n",
        "    y='Price Change',\n",
        "    order=(data\n",
        "           .groupby('GICS Sector')['Price Change']\n",
        "           .mean()\n",
        "           .sort_values(ascending=False)\n",
        "           .index))\n",
        "plt.xticks(rotation=90);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 512
        },
        "id": "jLQn8PQA7vgR",
        "outputId": "60670b7e-ea8a-4660-8e64-70b0555eabcf"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "This plot shows price change by GICS sector, sorted by mean price increase. Health care is the sector with the greatest mean price increase."
      ],
      "metadata": {
        "id": "8QD77a_O9Dpv"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sns.boxplot(\n",
        "    data=data,\n",
        "    y='GICS Sector',\n",
        "    x='Net Income',\n",
        "    showfliers=False);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 370
        },
        "id": "zro5qznjw-4B",
        "outputId": "cd659932-6fa1-4b9f-e2ef-9cd95dec1fc1"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Net income is generally positive. However, the energy sector seems to report largely negative net incomes!"
      ],
      "metadata": {
        "id": "757ZEe2953l_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "energy_df=(pd.DataFrame(\n",
        "    data.query(\"`GICS Sector`=='Energy'\")['GICS Sub Industry'].value_counts())\n",
        "    .rename(columns={'GICS Sub Industry':'no_records'}))\n",
        "energy_df['mean_net_income']=(\n",
        "    data\n",
        "    .query(\"`GICS Sector`=='Energy'\")\n",
        "    .groupby('GICS Sub Industry')['Net Income']\n",
        "    .mean())\n",
        "energy_df"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 175
        },
        "id": "AFFeGhG4yXGt",
        "outputId": "2c1cda19-0536-4c46-bc1a-721d909b6e09"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "                                                 no_records  mean_net_income\n",
              "Oil & Gas Exploration & Production                       16    -4.562624e+09\n",
              "Oil & Gas Refining & Marketing & Transportation           6     2.176333e+09\n",
              "Integrated Oil & Gas                                      5     1.450334e+08\n",
              "Oil & Gas Equipment & Services                            3    -1.135667e+09"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-63584bd5-4bb3-4ab0-ae9d-453d37087de2\">\n",
              "    <div 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>no_records</th>\n",
              "      <th>mean_net_income</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Oil &amp; Gas Exploration &amp; Production</th>\n",
              "      <td>16</td>\n",
              "      <td>-4.562624e+09</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Oil &amp; Gas Refining &amp; Marketing &amp; Transportation</th>\n",
              "      <td>6</td>\n",
              "      <td>2.176333e+09</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Integrated Oil &amp; Gas</th>\n",
              "      <td>5</td>\n",
              "      <td>1.450334e+08</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Oil &amp; Gas Equipment &amp; Services</th>\n",
              "      <td>3</td>\n",
              "      <td>-1.135667e+09</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-63584bd5-4bb3-4ab0-ae9d-453d37087de2')\"\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 0 24 24\"\n",
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              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
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              "      height: 32px;\n",
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              "\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",
              "    [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-63584bd5-4bb3-4ab0-ae9d-453d37087de2 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-63584bd5-4bb3-4ab0-ae9d-453d37087de2');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Looking closer, we find that one sub-industry is to blame: Oil & Gas Exploration & Production. This sub-industry has a very negative mean net income and by far the most records. Therefore this sub-industry outweighs the others and drags the distribution down into the negative net income range."
      ],
      "metadata": {
        "id": "53UMlQ1U5-r5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# cash ratio boxplots\n",
        "plt.figure(figsize=(15,5))\n",
        "\n",
        "plt.subplot(1,2,1)\n",
        "plt.title('Cash Ratio by Sector')\n",
        "sns.boxplot(\n",
        "    data=data,\n",
        "    x='GICS Sector',\n",
        "    y='Cash Ratio',\n",
        "    order=(data\n",
        "           .groupby('GICS Sector')['Cash Ratio']\n",
        "           .mean()\n",
        "           .sort_values(ascending=False)\n",
        "           .index),\n",
        "    showfliers=True)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.subplot(1,2,2)\n",
        "plt.title('same without fliers')\n",
        "sns.boxplot(\n",
        "    data=data,\n",
        "    x='GICS Sector',\n",
        "    y='Cash Ratio',\n",
        "    order=(data\n",
        "           .groupby('GICS Sector')['Cash Ratio']\n",
        "           .mean()\n",
        "           .sort_values(ascending=False)\n",
        "           .index),\n",
        "    showfliers=False)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 512
        },
        "id": "tm3uZC9Q7va-",
        "outputId": "f89a8c59-5d91-4216-95be-5c1edd42a603"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here we see the cash ratio by GICS sector. The sectors are sorted by mean cash ratio, with IT highest and utilities lowest.\n",
        "\n",
        "We get a better idea of relative spread without the fliers, although it is precisely those that bias the means. Put another way, that value around 1000 is part of the reason IT has the highest mean cash ratio.\n",
        "\n",
        "Financials and real estate are very tightly distributed. IT and health care, on the other hand, see a broad range in cash ratios. Utilities has a reliably low cash ratio. In the middle is consumer staples and energy. The former has a greater overall spread, but a narrower 50% than the latter."
      ],
      "metadata": {
        "id": "658f9HNIqU3l"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# p/e ratio boxplots\n",
        "plt.figure(figsize=(15,5))\n",
        "\n",
        "plt.subplot(1,2,1)\n",
        "plt.title('P/E Ratio by Sector')\n",
        "sns.boxplot(\n",
        "    data=data,\n",
        "    x='GICS Sector',\n",
        "    y='P/E Ratio',\n",
        "    order=(data\n",
        "           .groupby('GICS Sector')['P/E Ratio']\n",
        "           .mean()\n",
        "           .sort_values(ascending=True)\n",
        "           .index),\n",
        "    showfliers=True)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.subplot(1,2,2)\n",
        "plt.title('same without fliers')\n",
        "sns.boxplot(\n",
        "    data=data,\n",
        "    x='GICS Sector',\n",
        "    y='P/E Ratio',\n",
        "    order=(data\n",
        "           .groupby('GICS Sector')['P/E Ratio']\n",
        "           .mean()\n",
        "           .sort_values(ascending=True)\n",
        "           .index),\n",
        "    showfliers=False)\n",
        "plt.xticks(rotation=90)\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 512
        },
        "id": "uIUV126ZnmIe",
        "outputId": "c2d1f15c-67ae-4c9d-d540-6764864d9887"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here are P/E ratios by sector, sorted by sector mean. A lower P/E ratio is generally considered better, as a high ratio indicates an overvalued stock.\n",
        "* Telecom has the lowest P/E ratio.\n",
        "* Energy has the highest P/E ratio and the greatest variablity from the lower fence to the upper fence.\n",
        "* Consumer discretionary has one value far above the others. IT and health care also have a value floating far outside their range.\n",
        "* Utilities has P/E ratios packed between roughly 20 and 25. This range is favored by many investors because it is not too high and still realistic. Financials and industrials also have P/E ratios on the lower end, though with greater spreads."
      ],
      "metadata": {
        "id": "w0jweCv2vFtk"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pVn5toJ7MKte"
      },
      "source": [
        "## Data Preprocessing"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "zUi6E9EUMKth",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "711e624e-fb5f-4e81-d230-f15f20cdeb7b"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0"
            ]
          },
          "metadata": {},
          "execution_count": 19
        }
      ],
      "source": [
        "data.duplicated().sum()"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "There are no duplicate records in our data set."
      ],
      "metadata": {
        "id": "Wd3Re7ERAO9T"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.isna().sum()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "amXHvVm_s8lJ",
        "outputId": "04e83e78-59db-4c0c-b40e-df75f7a6af8c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Ticker Symbol                   0\n",
              "Security                        0\n",
              "GICS Sector                     0\n",
              "GICS Sub Industry               0\n",
              "Current Price                   0\n",
              "Price Change                    0\n",
              "Volatility                      0\n",
              "ROE                             0\n",
              "Cash Ratio                      0\n",
              "Net Cash Flow                   0\n",
              "Net Income                      0\n",
              "Earnings Per Share              0\n",
              "Estimated Shares Outstanding    0\n",
              "P/E Ratio                       0\n",
              "P/B Ratio                       0\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Additionally, there are no records will null entries."
      ],
      "metadata": {
        "id": "kdB_YXFBAR7R"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.plot(\n",
        "    kind='box',\n",
        "    subplots=True,\n",
        "    sharey=False,\n",
        "    layout=(3,4),\n",
        "    figsize=(15,20));"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "1PiFoYu1s8iK",
        "outputId": "414721e5-5480-4860-e080-58564e207197"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x1440 with 12 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We recall the boxplots from the EDA above to check for conspicuous outliers. The attributes Current Price, Cash Ratio, and P/B Ratio have prominent values on the high end."
      ],
      "metadata": {
        "id": "ZMen3Fy3AYF0"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('`Current Price`>1000')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 232
        },
        "id": "9beOWMwLs8e-",
        "outputId": "3f69c451-c9ba-472a-b9e2-482aceb8ec1d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol           Security             GICS Sector  \\\n",
              "243          PCLN  Priceline.com Inc  Consumer Discretionary   \n",
              "\n",
              "                      GICS Sub Industry  Current Price  Price Change  \\\n",
              "243  Internet & Direct Marketing Retail    1274.949951      3.190527   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow  Net Income  \\\n",
              "243     1.26834   29         184    -1671386000  2551360000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \n",
              "243               50.09                   50935516.07  25.453183  -1.052429  "
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              "      <th>243</th>\n",
              "      <td>PCLN</td>\n",
              "      <td>Priceline.com Inc</td>\n",
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    },
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      "source": [
        "Researching the market history of this security reveals that the recorded current price, while higher than our other observations, is completely reasonable. (Note: PCLN is now being traded on the Nasdaq under the ticker symbol BKNG.)"
      ],
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              "    Ticker Symbol  Security             GICS Sector  \\\n",
              "125            FB  Facebook  Information Technology   \n",
              "\n",
              "                GICS Sub Industry  Current Price  Price Change  Volatility  \\\n",
              "125  Internet Software & Services     104.660004      16.22432    1.320606   \n",
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              "     ROE  Cash Ratio  Net Cash Flow  Net Income  Earnings Per Share  \\\n",
              "125    8         958      592000000  3669000000                1.31   \n",
              "\n",
              "     Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \n",
              "125                  2.800763e+09  79.893133   5.884467  "
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              "      <th>125</th>\n",
              "      <td>FB</td>\n",
              "      <td>Facebook</td>\n",
              "      <td>Information Technology</td>\n",
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      "cell_type": "markdown",
      "source": [
        "A cash ratio of 958 is preposterous. [Research](https://www.macrotrends.net/stocks/charts/META/meta-platforms/current-ratio) indicates that Facebook's cash ratio has never risen above 14. As of now (January 2023), it's max was achieved in Q3-2017 at a value of just over 13. Facebooks's [current cash ratio](https://www.investing.com/equities/facebook-inc-ratios) is 2.57.\n",
        "\n",
        "That being said, around 50% of our data have a cash ratio above 50, far outside the expectation of a data set of this size. We must conclude that there is a difference in definition or a systematic difference in the calculation which inflates all the cash ratios. As we will be scaling this data, the relationship between the records is far more important than the raw numbers, and we must look past this inconsistency."
      ],
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              "  Ticker Symbol               Security             GICS Sector  \\\n",
              "6           ADS  Alliance Data Systems  Information Technology   \n",
              "\n",
              "                       GICS Sub Industry  Current Price  Price Change  \\\n",
              "6  Data Processing & Outsourced Services     276.570007      6.189286   \n",
              "\n",
              "   Volatility  ROE  Cash Ratio  Net Cash Flow  Net Income  Earnings Per Share  \\\n",
              "6    1.116976   30          25       90885000   596541000                8.91   \n",
              "\n",
              "   Estimated Shares Outstanding  P/E Ratio   P/B Ratio  \n",
              "6                   66951851.85  31.040405  129.064585  "
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              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-f143055a-5b11-4e47-9c2b-46c6c2751946 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-f143055a-5b11-4e47-9c2b-46c6c2751946');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "While ADS currently sees a P/B ratio far lower than the recorded value, its stock price history indicates there was a time when a ratio of 129 was possible."
      ],
      "metadata": {
        "id": "39gIyZ9Y14iG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# scale numerical data\n",
        "attr=data.drop(\n",
        "    data.select_dtypes('object').columns,\n",
        "    axis=1\n",
        ").apply(zscore)"
      ],
      "metadata": {
        "id": "dYw-8N9s2VPb"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "Lastly we separate out the numerical features and scale each column."
      ],
      "metadata": {
        "id": "6x10INQrBD-v"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KNzFis7eEaXj"
      },
      "source": [
        "## Second EDA"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "4lcDTGi9EZ1M",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 878
        },
        "outputId": "37497296-c9d1-4e46-c7b4-db87ac9b56d0"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1440x1296 with 11 Axes>"
            ],
            "image/png": 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8/MwRkctwycPZ3iWfP6DcdKs6O7vl8fgkSb6uFPm6epfT01Pk6+oJLx9itRhyuTwKBHpbw1gspjJtyfrMcUAej++I9fFguHwukSCX+DQSczFNI/zjJQAAGHoDa0yHo2pwevXJvnadc1qeiuxpKslP15mlo/Th561q7fCdeAAAAKLM4/HI4XCEl7ds2aLs7GzZ7XaVlZVpw4YNkqQNGzaorKyMdheIGYfLI0kqzjv5mcSGIVkshiwW8+Cfoax0q/w9Qfm6A9EOFQAAAEhIUZmhjL72NHYoK92qs0/NVYfHL0n66pmF2u3o0I49rfpSEZdpAQCGVmdnpxYtWqTOzk6Zpqns7Gw98sgjMgxDy5cv19KlS7V69WplZWWpqqoq1uEigTmcXknSaHu6GvZ7Tuq1mWlWvfVhs9oO/oA/Oj9dozKskrgxHwAAABAtFJSjzNPZrf3tXTp3Yr4Mwwg/n5Js0eljsvXeLqe8XZzQAACGVl5enp577rmjrhs/frzWrl07xBEBR9fo9Co9NUmZacn9ev0Bt0+tB7okSVnpVmVTUAYAAACiipYXUbbbcUCSdPrYnCPWnVKcJUn6rHFk9DADAACINofToyJ7Wp8f5gci3ZYs0zTk9lJQBgAAAKKBgnIUhUIh7W44oNzMFGWnW49Yn5luVU6GVZ85KCgDAAAcjcPpVXHuyfdPPhbTMJSRmsQMZQAAACBKKChHkbO9S+0ev8YUHPuOw2PyM9Ta4TvpnoAAAAAjnberW+0ev4rtaVEdN8OWTEEZAAAAiBIKylH0ebNbko57EjQ6L02GpL9+0DhEUQEAAAwPDlfvDfmKol1QTkuWp6tHgUAwquMCAAAAiYiCchQ59nuUk2FVSrLlmNukWpOUl5Oq2t2uIYwMAAAg/jU6ewvKxfbotbyQemcoS9IB+igDAAAAA5YU6wAkacGCBdq7d69M01RaWpp++tOfqqysTLt379bSpUvV1tamnJwcVVVVqbS0NNbhHlUwGFKjy6vxJdkn3LYwN00f7HbJ29WjtNS4+AgAAABizuH0ymIaystOjeq4mYcKyh5fVMcFAAAAElFczFCuqqrSyy+/rHXr1mn+/PlatmyZJKmyslJz587Vpk2bNHfuXFVUVMQ40mNrdfvUEwipMPfEl2gW5aYpFJI+qm8dgsgAAACGB4fTo4JRNiVZovsVNf1gQbnd7Y/quAAAAEAiiouCcmZmZvix2+2WYRhyOp2qq6vTjBkzJEkzZsxQXV2dXK74bBXhbO+SJBWOOnFBOS8nVdYkUzv2UFAGAAA4pNHljXq7C0lKspiyWS1q91BQBgAAAAYqbvot3Hnnndq6datCoZAef/xxORwOFRYWymLp7UdssVhUUFAgh8Oh3NzcGEd7pP3tXcrNSlGK1SKfv+e42yaZpiaMzdGHe1plmoaCwdAQRQkAABCfegJBNbd2asqE/EEZPyMtmYIyAAAAEAVxU1C+9957JUnr1q1TdXW1Fi1aFPV92O0ZUR8zzWZVdzCk1g6fvjzeLltqsgIhKTU1WUEZChysFR++bB9lU3Zmimp3u7S1rkmzLh4vScrPzzzOnkY2ck9MiZy7lNj5J3LuAI6upa1TgWBIRRG0D+uPDFuy6ps9CoX4IR8AAAAYiLgpKB9yxRVXqKKiQkVFRWpqalIgEJDFYlEgEFBzc7OKi4v7PbbT6Y7qbGDTNOTt9KuhqUOBYEgFOTZ1dnXL4/Gpy5akzq4eeQ7e/OXw5S5bUvjmMHW79uv/nVkouz1DLS0dUYttOMnPzyT3BJTIuUuJnf9Izt00jUH58RJIBI1OryQNSssLqbeg3BMIqrXDp+x066DsAwAAAEgEMe+h7PF45HA4wstbtmxRdna27Ha7ysrKtGHDBknShg0bVFZWFpftLtoO3uClYJQt4tfkZqfKYhpqaescrLAAAACGDYert6A8mDOUJclxsHANAAAAoH9iPkO5s7NTixYtUmdnp0zTVHZ2th555BEZhqHly5dr6dKlWr16tbKyslRVVRXrcI+qze1TSrJF6bZkebqO3z/5ENMwNCozRfsP3swPAAAgkTmcHmVnWJWWOjhfTzPDBWWPzvhSzqDsAwAAAEgEMS8o5+Xl6bnnnjvquvHjx2vt2rVDHNHJa3P7lZNx8pdOjspM0Sf72uXrDgxCVAAAAMNHo9Or4kGanSxJKVaLki2mHE7PoO0DAAAASAQxb3kx3HX3BOXu7FZORspJv3ZUZopCIWlP48jsJQoAABCJUCgkh9M7aP2TJckwDGVlWGl5AQAAAAwQBeUBch3obVnRrxnKB4vQu/a1RzUmAACA4eSAt1teX4+K7IM3Q1mSstOtcuxnhjIAAAAwEBSUB8h1wCdJyu7HDOUUq0UZtmQKygAAIKE1HmxDMXoQZyhLUnaGVa4Onzp9kd3zAgAAAMCRKCgPkPNAl1KtFqVaLf16fV52qnY1HIhyVAAAAMPHoTYUxYM+Q7l3AkBTK20vAAAAgP6ioDxArgNd/eqffEheTqpaO3za39YZxagAAACGD4fTq5Rki3Iy+/+dKhLZ6dbw/gAAAAD0DwXlAfB29ajD292v/smH5GXbJEkf7WmNVlgAAADDisPlUVFumkzDGNT9ZKYlyzQMCsoAAADAAFBQHoC9LW5JUlZ6/wvKozJTlGQxtLO+VaZpyDQH90QKAAAg3jQ6vYPe7kKSLBZT+aNs4Z7NAAAAAE5eUqwDGM72Ng+8oJyVbtWozFS98b5DqcmmMtOs+tqZhQoGQ9EKEwAAIG75/AE527t00ZeLh2R/xfY0NbqYoQwAAAD0FzOUB2Bvi1vJSaZs/bwh3yGjMlPU0tapA26fOrz+KEUHAAAQ/xqcHoUkleSnD8n+RtvT1ejq5Md7AAAAoJ8oKA/A3ma3cjKsMgbY7y83K1XdPUF5unqiFBkAAMDw0LC/t/3E6LyhKSgX29PUEwhq/4GuIdkfAAAAMNJQUO6nUCik+haPcjIGfjdye3bvGG1u34DHAgAAGE72tXiUZDFVMMo2JPsrPli4po8yAAAA0D8UlPvJdcCnTl+PcjIHXlDOTk+RxTTU5qbdBQAASCz79ntUbE+TxRyar6XFub03/3M46aMMAAAA9AcF5X7a29J7Q75ozFA2TUOjslKYoQwAABLOvv3uIeufLEkZaVZlpiVTUAYAAAD6iYJyP/2joGyNyni5Walqd/sVDHGDGABA9LW2tuqHP/yhpk2bppkzZ+qWW26Ry+WSJG3fvl2zZs3StGnTNH/+fDmdzhhHi0Th7eqR64BPJUPUP/mQ4tw0Wl4AAAAA/URBuZ/2tXiUm5Uia7IlKuPlZqUqEAzpgIe2FwCA6DMMQzfccIM2bdqk9evXa+zYsVq5cqWCwaCWLFmiiooKbdq0SeXl5Vq5cmWsw0WCaDhY1C3JyxjS/RbZ0+RwMUMZAAAA6A8Kyv20t8WtMfnRO/nJzUqVJLnaueM4ACD6cnJydP7554eXJ02apIaGBtXW1iolJUXl5eWSpDlz5mjjxo2xChMJZt/BK76GsuWFJBXlpqvD2y13Z/eQ7hcAAAAYCZJiHcBw1BMIyuH06iun5UVtzKx0qyymIecB+igDAAZXMBjUs88+q6lTp8rhcGj06NHhdbm5uQoGg2pra1NOTk6/xrfbe39wzc/PjEq88WCk5BJvebR6upViteiM8fkyTeOI9TZbsvyB3nZgKalJ6g6GlN5z9OVItrHZkpWbm64zTrVL//OJugLSKXHwnsTb5zIQ5BKfyAUAAEQTBeV+aHR6FQiGNKYgI2ozWwzDUE6GVc4DzFAGAAyue+65R2lpabr66qv16quvRn18p9Mtuz1DLS0dUR87FvLzM0dELvGYx87PWzXanian033EOovFVGdntzye3h/bfV0p8nX1Lqenp8jX1RNePuTwbY62bLUYcrk8SkvqLV7v2NWivIzkwU7zuOLxc+kvcolPIzEX0zTCP14CAIChR8uLfjh0Q75otryQpJyMFLV2+NQTCEZ1XAAADqmqqtKePXv0i1/8QqZpqri4WA0NDeH1LpdLpmn2e3YyEKlQKKR9LW6NHuIb8klSXrZNSRaDPsoAAABAP1BQ7oe9LR5ZTEPF9rSojpuTYVUwGNK+/dx1HAAQfQ888IBqa2v10EMPyWq1SpLOPvtsdXV1adu2bZKkNWvWaPr06bEMEwmize3XAW+3vlQ49Jevm6ahwtw0NTopKAMAAAAni5YX/bC3xa0ie5qSLNGtx+dkpEiSPnMc0Ngoz34GACS2nTt36tFHH1VpaanmzJkjSRozZoweeughVVdXq7KyUj6fTyUlJaqpqYlxtEgEnzf1XoI/LgYFZUkqzk1TffORrTYAAAAAHB8F5X7Y1+LW6WOifylwWmqSrEmmdjcc0MXnjD7xCwAAiNDpp5+ujz766KjrpkyZovXr1w9xREh0ew4WlMcWxOZH9CJ7uv7+8X519wSVnMRFewAAAECkYv7tubW1VT/84Q81bdo0zZw5U7fccotcLpckafv27Zo1a5amTZum+fPny+l0xjhaydvVLecBn0ryo9/vzzAM5WalanfjyLhpBgAAwLF83uRWYW6abCmxmd9QbE9TMBRSc1tnTPYPAAAADFcxLygbhqEbbrhBmzZt0vr16zV27FitXLlSwWBQS5YsUUVFhTZt2qTy8nKtXLky1uFqb0tvf+No35DvkNzsFO1tdqu7JzAo4wMAAMSDPY0dGlcYuxZfh+6F0ejk3hUAAADAyYh5QTknJ0fnn39+eHnSpElqaGhQbW2tUlJSVF5eLkmaM2eONm7cGKsww/a19PbaG6yCsj0rVYFgKFy4BgAAGGncnd1yHuiKWf9kSSrK7S0oO7gxHwAAAHBSYl5QPlwwGNSzzz6rqVOnyuFwaPTof/QRzs3NVTAYVFtbWwwj7J2hbEtJUm5WyqCMb89KlSTtdhwYlPEBAABi7dAN+b5UFLuCcqq19/tcAzOUAQAAgJMSVzflu+eee5SWlqarr75ar776atTHt9sHPqu4ub1Lp4zOUkFBliQpzWZVUIYkKTU1WUEZCoT6Pj7eukOP3Z3dSk9PUXpqkrIzrGps7VJ+fuxOsoZaIuX6ReSeuBI5/0TOHcA/bsh3anGWLJbe+Q2BQHDI4yjJy9DeZgrKAAAAwMmIm4JyVVWV9uzZo0ceeUSmaaq4uFgNDQ3h9S6XS6ZpKicnp9/7cPYuP7gAACAASURBVDrdCgZDA4pz8ml2Zadb1dLSIdM05O30y+PxS5K6bEnq7OqRx+Pr8/h46w49liSPxydTIY0rzNSHnznV0pIYN+fLz89MmFy/iNwTM3cpsfMfybmbphGVHy+Bke7zJrcy05L1tw+bJUnZGVadO6FgyIvKY/LTtWOPSz2BoJIscXXhHgAAABC34uKb8wMPPKDa2lo99NBDslqtkqSzzz5bXV1d2rZtmyRpzZo1mj59eizDlCRNnTJG504sGNR9lBZlat9+j3zd3JgPAACMPJ85DignM0WtB7rUeqBL7W5/TOIoyU9XTyCkptbOmOwfAAAAGI5iPkN5586devTRR1VaWqo5c+ZIksaMGaOHHnpI1dXVqqyslM/nU0lJiWpqamIc7dA4ZXSWQqHe/oKnj+n/jGwAAIB4c8DjV1Nrp86dmB/rUMI3Wd7X4lZJXnqMowEAAACGh5gXlE8//XR99NFHR103ZcoUrV+/fogjir3Sot7+zJ85KCgDAICRZde+dklSwShbjCORiu1pMg1De1s8+mpZrKMBAAAAhoe4aHmBvkZlpignw6rPGg/EOpQw0zT6/AEAAPTHJw3tspiG7FmpsQ5FyUkWFebatK/FHetQAAAAgGEj5jOUcXSlRVna7YiPm1aZpqG/1jWpw9vb3zAzzaqvnVk44BscAgCAxLNrb7tKizJliZOb4JXkZ+jzxvj4zgUAAAAMB/HxTR5HOKU4U40urzp9PbEORZLU4fWrw3PwzxubG+cAAIDhrScQ1O7GDp0Wo5ZehiFZLIYsFjP8NyY/XS1tnfL5uRkyAAAAEAlmKMep0uLePsp7Gjt0xrhRMY4GAABg4Oqb3eruCeq0Mdlyd3YP+f4z06x668NmtXX4JEnZGVaNLchUSFKD06NTDn7/AgAAAHBszFCOU+OKMiVJn3EJJgAAGCE+2dt7Q77TSrJjFsOB/9/enYc3cd/5A3/PjG75lm+MzQ0OEHBwcC5CgCSQxoG0KU1Ck/aXpiFsl27SZrdlN2dzPKm3u3TThoQ056+EZnvlwmlDaDhCDg6DIRhzxRgw+MSWbV3WMZr9Q7Zi4wPZGI0kv1/Po8fSaPTVZ0bjme989NVn7G5Y2ztgbe9Am92D0elxAIDTjayjTEREREQUCiaUI1SCSQdLggHVdZFzYT4iIiKiC3HsTBtSEvRIiYAL8nVJSzZCr5NwigllIiIiIqKQsORFBBubFY8T9UwoExERUXTp64J7Xp+MwyetuHS8RYWI+icKAnLT43Cygb8KIyIiIiIKBRPKEWxMVgLKjjTB7vIizqhVOxwiIiKi85IkEXuONqLN/vVFfBPjdEhNMMLu8uKSMZF3bYi8jHhs/7IOfr8CURTUDoeIiIiIKKKx5EUEG9NZR/kk6ygTERFRFGmze4J1irtqFR880QIAyM9LUTm63vIy4+H2ymiwOtUOhYiIiIgo4jGhHMG6Esqso0xERETRrrK6BVkWE5Lj9WqH0kteBi+GTEREREQUKiaUI5jJoEVGspEnN0RERBTVZL+CIzVWXBKBo5MBICvVBK1G5K/CiIiIiIhCwIRyhBuTlYDjtW1QFEXtUIiIiIiGpKnVBY/XH5H1kwFAEkWMTo/DKV6Yj4iIiIjovJhQjnATcxLRavfgbFuH2qEQERERDUndWQcEAZicm6R2KP3Ky4jHyQYb/PwSn4iIiIhoQEwoR7hJowMnXkdrWlWOhIiIiGhoahrtmJiTBJNB2+fzggBIkgBJErvdhLDGmJcZD5dbxtlWV1jfl4iIiIgo2mjUDoAGlp1qhtmgwZGaVlw9PUvtcIiIiIgGxdnhg9Xmxo2zc/udJ96kw+7DjWi1uYPTstPMEMOYU+5+Yb70ZFP43piIiIiIKMpwhHKEEwUBk0Yn4egpjlAmIiKi6FPf4gQAXDYpbcD52u1uWNs7gje70xuO8IJGpZmh04r46nRbWN+XiIiIiCjaMKEcBSaNTkJjqwvWbqN2iIiIiKJBfYsTiWYdMlMie9SvRhIxLisBX51hQpmIiIiIaCBMKEcB1lEmIiKiaOT1yWhu78Do9Di1QwnJ+FGJONVgh9sjqx0KEREREVHEYkI5CuRmxEGvk5hQJiKiISspKcH8+fMxefJkHD16NDi9uroat99+OxYuXIjbb78dJ06cUC9IijkNVhcUBRidER0J5QmjEuFXFFTXtasdChERERFRxGJCOQpIooiJOYk4dNKqdihERBSlFixYgPXr12PUqFE9pj/++ONYtmwZNm7ciGXLluGxxx5TKUKKRbVnHTDoJKQmGdUOJSTjRyUCAI6x7AURERERUb+YUI4S08ZaUN/ixNlWl9qhEBFRFCosLERWVlaPac3NzaisrERxcTEAoLi4GJWVlWhpaVEjRIoxHp+MBqsL2almSKIASRIgSWLnTVA7vD7FGbXIsphQxYQyEREREVG/NGoHQKGZPi4F//sxUFHdgusKRp3/BUREROdRV1eHjIwMSJIEAJAkCenp6airq0NKSsqQ27VYAuUN0tLihyXOSBAryxKu5TAatWixeaAowITRyUhNMWH/8RbYnB4AQEaKCUajFh5ZAQDoDRp4/QrMPiXYxrnTzvd4KK8xGrVISTH3iH36hDR89mUtLJY4iGJ4Et+xsn0BXJZIxWUhIiKi4aR6QrmkpAQbN27EmTNnsGHDBkyaNAlAoKbjqlWr0NraiqSkJJSUlGDMmDHqBquizBQTLAl6HDjezIQyERFFtOZmOyyWODQ12dQOZVikpcXHxLKEazkkSYTL5cXxM20wGzTQS4C7wwe704Pmtg4AgFYU4O7wwuFwAwDcHfoej/ua1v2x2ayHu8M3qNf09VgnCWhpcUCW/cE2RlmMcLi8+PJwPUalXfzaz7GyfQFclkgVi8siikLwy0siIiIKP9VLXrCmY2gEQcC0cRYcOmmFr9tJDxER0VBlZWWhoaEBsiwDAGRZRmNjY6/SGESD5ezw4WxbB0almSEIkVneoj9TcpMBAJUneO0KIiIiIqK+qJ5QZk3H0E0ba0GHR2ZdPyIiGhYWiwX5+fkoLS0FAJSWliI/P/+Cyl0QAcDx2kBfJSc1+kYQpiUZkZFsREX1yO53EhERERH1R/WEcl8Gquk4kuXnJUMUBJ7gEBHRoD399NO49tprUV9fj3vuuQc333wzAOCJJ57Am2++iYULF+LNN9/EL37xC5UjpWinKAqO1bQiJUGPOJNW7XCGZNpYC46cssLrk9UOhYiIiIgo4qheQzmcLkadLZNRBz8CP+U0GLTwQ4Cs9Lw/0HNd9+0uL8xmPUxG7YBxThtvwf6qZtx/24yw/oS0+3KeL8ahGMkX1+Cyj1wjeflH8rKr5ZFHHsEjjzzSa/r48ePx5z//WYWIKFYdPmVFu9OLgompaocyZFPHpeDjvadx9HQbpo7hiH0iIiIiou4iMqHcvaajJEnDVtOxudkOv185/4whEkUBTpcHDkfgiuUdRg1cHT44HO4e9wd6rus+ADgcbohQBoxzxrgUrPvoKPYdqkdOGC4U09dyni/GwYqlC4UMFpd9ZC47MLKXP5aXnRcJIgK27auFViMiy2JSO5Qhm5KbBEkUcLC6hQllIiIiIqJzRGTJC9Z07N9lk9MhCMDuQ41qh0JERETUg93lRdmhRozLToBGishuZkgMOg0m5iSi4jjLjBERERERnUv1nj5rOg5OolmHyaOTUHakEYoyfKOtiYiIiC7Utn1n4JX9mJybpHYoF2zaOAtON9nR0t6hdihERERERBFF9ZIXrOk4eJdPSce6j47iTJMDOen8aTURERGpzyf78fGe05g6NgXJ8QZYozwRO2tSGv6ytQq7DjViUVGu2uEQEREREUUM1Uco0+B1lb3YeahB7VCIiIiIAAC7Dzei1e7BwtmxkXzNSDEhLzMeu9jfIiIiIiLqgQnlKJRo1mHG+FRs318Ln+xXOxwiIiIa4RRFwUe7apBlMWH6eIva4QybovwMnKi3oaHFqXYoREREREQRgwnlKHVdwSi0O73Ye7RJ7VCIiIhohKuobsHJBhtuvHw0REFQO5xhMzs/HQB/FUZERERE1B0TykMgikLwNtyEENufNi4FqYkGbNl7ZthjICIiIgqVoih4d3s1LAkGXD09S+1whlVKggGTchKxs7KBF0MmIiIiIurEhPIgiaKAHZUN2FRWg31fnYUwzKNwzEYtPq+ox6ayGuyobOg3qSwKAuYVjMKRmlacabIPawxEREREoTpwvBnVde0ovioPGin2upZXT89CXbMTh09a1Q6FiIiIiCgixF6vPwxsTg9sDg8cLu9Fad/u8sLm8MDm9Aw43zWXZkGnEfHBjpMXJQ4iIiKigfg7RyenJsbe6OQuV0zNQIJZhw931agdChERERFRRGBCOcp0L4cRb9Jhwawc7DzYgNMcpUxERERh9kVFPU7U27DkmrExOToZALQaCQsuG4UDx5vZ3yIiIiIiAhPKUaV7uY2uchg3XZEHg17CO58cVzs8IiIiGkFcbh/+vLUK47MTcOW0TLXDGRJBACRJgCSJA97mXZYDnUbExl2n1A6ZiIiIiEh1GrUDoMHpKrfRJc6oxcLZuXh3ezWO1rRi0ugkFaMjIiKikeL9z6phc3jwwLcvhTjM15QIl3iTDrsPN6LV5g5Oy04zw9nhC05LjNNh1qR0XDszGx/vOY0bCkcjNyNerZCJiIiIiFTHEcoRTEDPEhf9XaDvxstHIzXRgNc+OIQOjy+8QRIREdGIc+x0Kz7aXYM5M7IxNitB7XAuSLvdDWt7R/Bmd3p7TGuzB77IX3LNWMQbtVi38Qj8iqJy1ERERERE6mFCOYKZjVp8XlGPTWU12FRWg31fnYXQxwggg06De2/OR1OrC3/aUqVCpERERDRSuNw+vLyhEpYEA26fP0HtcMLGbNDiO/MnoKq2HZ/sr1U7HCIiIiIi1TChHOHsLi9sjkCZC4fL2+98k3OTsXB2LraWn8G2fWfCGCERERGNFIqi4P9/eBjN7R1YfstUGPWB6mk9aw5HZ/mLUFw5NRNTcpPwv/84hhP17WqHQ0RERESkCiaUY8i35o7D9HEW/P7DI9hZ2aB2OERERBRj3v7kOHYdasS3rh2HCTmJAALJ5D1HG7F572ls3nsaB0+0oJ8qXVFPEATcv2Qa4k06PPeXL9HS3qF2SEREREREYceEcgzRSCJ+9M1pmJiTiN9tOIj3Pq2G388af0RERHThPtpdgw++OInrZmbjG1fk9Xiuze7pUYM4liWadXhg6aVwe2SU/GEvas861A6JiIiIiCisNGoHQMNLr5Xw4HdmYN3GI3jv02pUHG/G4mvGYtrYlD7rL5/L7ZFR3+JEfYsTzZ0nhR6fjDNnHVAUBSa9BlmpZiaqiYjoopOknt97y7JfpUhGlnPXu19R8MePj+HDnacwa1IavnvjJGg0Urf5Y3Q4cidB6FrGr9dLTlocHrpjJn771wN4Zl0Zvr9oCi6fkt6jr8Xtl4iIiIhiFRPKMULs9ttSk0GL+26ZimljLfjLtir8+k/7kZZkRP6YZOSmxyHBrIMoCPD4ZDS3daDR6kJTqwsNVhesNnePdrUaEXqtBLdXhtcXOBHa91UztpafwfRxFhRdkoFLx1sgiRzsTkREw6erjEKb3QMASIzTYdakdCblLrJz17vd5cXuQw041WDHvIJR+O4Nk6DVSj3myU4zx2yJCwCIN+mw+3AjWjv7SF3b4vjsRDz6vUI8/84BrH3vILZ/WYfb5o7DmMwEbr9EREREFNOYUI4BoihgR2UDbM7ASUu8SYcrLsnAldMyUTQ1A+s3HcWxmlZ8UVGPT3y9T2QSzDqkJxkxJTcZmSlGZFnMyEwxIS3JCL1OgigK2FRWgzabG063D26vDEkSsfdIE3YdakRqogE3FeXimkuzoO02YomIiOhCdJVRoPBqs3vQZHWiuq4dx063AQC+v2gKrp2RFRyB2/2zSTDrVIs1XNrt7j63RUuiAY9+rxBbys/g7U+O48k3yjAlNwnzLstBuzNwUWUiIiIioljDhHKMsPVz0qKRRGSnmhFv1EJRFCQnGNDc7obd6UGCWYebr8yDLsQksCgKiDNqkZVqxg2Fo3HXDZOw/6tm/H3nSaz76Cje/+wEbpw9GvMLcqDXMbFMREQUbepbnNhzuBFHa1rh8fmRkWzE1ZdmYf6sHI6u7YcoClgwKwdXTcvEtn21+HhPDV58twJajYhsiwk56XFIiterHSYRERER0bBhQnkEEQQBRr0GyfGAJADxZh0MOs2Q6yFrJBGzJqfhskmpOHyqFX/74gT+vKUKH+2qQfFVYzB3ZjY0EkthEBER9SUcNXbPfQ9JEnu8j6IoqG12Ys+RJuw90ohTjXYIApCRbMLEnEQkx+sRb4r9EciD0VdNZQCIM+lw81VjcNOVeTha04o/fnwMJ+ttONlgx5dVzXB0+HDVtEykJhqDr2GSnoiIiIiiERPKI5iAnrWXzxVqolkQBOTnJSM/LxnHTrfir9uOY/2mo9i46xRunTMWV1ySOeD7EBERjTThqLF77nsYjVroJAEzxqei8kQL9h87i/1VzWhqdQEA0pONWFCYg9QEA1xu37DFEWvOrakMBOpIOzt8wWnZaWbMnZmNhmYnapsdaGrrwF+3VuGvW6uQmWLC+FGJmD4hBVdekqXWYhARERERDRkTyiOY2ajF5xX1sDk9yEgxwdnh61WHebCjlyfmJOHnywpQUd2Cv26rwiulh/D3Haew5JqxuGxSGhPLREREncJRI7rrPTxeGa1OL+rPOvDy+wfhcsvQakRcMiYFE3ISEW/UwqCTkJeVALvTw4TyeZxbUznBrIPd2buutEYjIjcjHnNmjkLdWTsOHG9BTaMdnx2ow87Kehz4qgU3XT0WmYl6iAL7SEREREQUHZhQHuHsLi9sDg/ijFo4OnzDcvEYQRAwfZwFU8emYM+RJrz9yXG88G4F0pOMWDArB1dOy0ScUTsM0RMREQ2/c8tERKu6ZgcqjjfjRF07WtrdUAAYdBKKpmZg5oQ0TB2TApNRg027awZMbJ9b4iFwnwYr3qTD5NFJmJSTiBabG41WF/YebcRnB+pgSdDjymmZmDNjFDJTTMHXXKySGOEot0IEcFsjIiKKVRGfUK6ursaqVavQ2tqKpKQklJSUYMyYMWqHpbru5SrOHfU70HPD0f5Aus8rQkDRJRm4fEo69hxpxIc7T+Gtj4/hz1u/wrSxFlw2KQ1Tx6YgLS2+3zaA0EtvdH/dUOtCD0cJkJFoqJ8Z9TQc2zCFjuu7p0g73p5psqOhxQlXhxcGvQaKEp7PqK9SFDdcMTYs732hnB1eHD3dhsMnrdhf1YyGFicAIMGkxcScRIwZlYhJOYmQJBGtNjc+q6hDdpoZ5zvMn1viIZTXUP8EQYAlwYAJOUm4ZnoWjpxpx4efV+ODL06i9POTSEsyYvyoBEzOS8a8maOGff8UjnIrRAC3NSIiolgW8Qnlxx9/HMuWLcOSJUvw3nvv4bHHHsPvf/97tcNS3bnlKoRuP5Mc6LnhaL8/oihgR2VDsGxG9zIa8SYdHv1/l+NkvQ2fflmHsiON2PfVWQBAVqoZ2RYTsixmjEozo6nVBdmvQK+VkByvx5VTM897MtX9vYdarqN7G8NVAmQkOPdz57oamuHYhil0XN+9RdLx1u2R8fDLO9A9hyyJAjbtroElwYDMFBOyLCZkWszIspiQaNYN6VjXn+EuReH2yLA5PbC5vLA5vbA5PXC6fTh8yooOtwxBAMzNToiCAINOgkmvgcmggUmvgbHzr0YS4VcUyLIfXp8Cm9ODBqsTDS0u1FudqDrThpoGOxQAGknA5Nxk3Hj5aDjdPni9MgDAbNZDEIQe5Rq6SjOcz1BeQ+en00qYe1kOLhmdiHanF+s2HsbRU63YcbABOw42YMOn1Zg8OhkTcxKRnWpGpsWEeKP2grf3cJRbIQK4rREREcWqiE4oNzc3o7KyEq+//joAoLi4GE899RRaWlqQkpKicnTq616uYjDPDUf7/bE5PcGyGX2V0RidHoc7r5+IOxZMwKkGOw6dtOJUkx3VZ9qw92gTzh2AJgoC/rDpKDSSCI0kQCOJ0EoiNBoRXedSAgRAAFrtbvhlBZIkYHNZDRQERlp38QOAAihQoCjofC8FfiUwHQDanR7Ish8ajQjZr8AvKxCEwAnfJ/vOQKeRoNOK0Gkl6Dvv67US9Dop8FcrQaeVYNB13Rdh0EnQSCIkUYAoCj3+yrIfiqIMayJkIH5Fgd+vQFGUwPL5v54W/OsPPOeT/ZA778uyAtnvh6/b/cDfwOsOHG+G2yNDQOCiT5IQGIElCl8vqyQKkCQBkhhYF06fgrY2JyRJhCb4vNhjXlEQwrZu+qMoCjo3leC2E5gemKgogc3n3HXoVwLTZEWB0vmc7O9a/4DV5UNziyP4eSgKcPSUFY4OLww6DbSSCFn2QxDQuQ6/XjdicF0GpouiAI147roWIQrd51N/XQ5V98/Aryi9/ne71q3cuc36ut3v2k67b7Oy3w+/Ahw83gxHhxd6rYSMZCPyMuIHjCOWRdrxVq+T8Oz9V+LjPadhtXWgwy3DD8Bs0KCxxYVjp+vg7kySAoEyDlkWEzJTTEiK08Ns1MJs0MBk0HYbSStAUQL7Nq/PD2/n3+DjzpvPr6Cm0QaX2we/X4Ekiag8aYXs83+9HxN67s9EUYAsK+jw+NDhldHhkWF3emFzeWB3euHxhTYab/fhxn6fk0QBcj9fehj1EvIy4rH4mrGYNDoJ47MToNNKkCQRm/eehrXbuqLIlRyvx7RxFmRbTLC5vHC5ZfgVBRXVzfjiYH1wPrNBA0uiAfEmHeKNWpiNWug0gWNB4LjZuV+U+z6G+xUF9c1OuL0++JXA/9uxmlboNOLX/RmdBINWgkGnCfRpdF/fN+gkaDW9+zWsAX3xnPsLjV57AuXchz0nyHJgXzfwewzcqKIAsl+B2yvD45Xh8frh9snweGS4fX54Ovd9bo8c3Bd6vH6cqG+Hw+WDX1GglUSkJxmRn5c88AITERFRxIvohHJdXR0yMjIgSRIAQJIkpKeno66ubkgnuMNxQThRFJCebILZoIUl0QCTQYZJH1iN3R+H+lzXfVkB4g19PxdqG8MRRyhtmI1aaDRir9F83dfNuW309ZrxOYkYn5OI5GQzrFYHfD4/mm0d2FXZiHanBx6vDAVAklkHry+QHPJ2nRR1nZx3NScAJoMGsqxAEgXEm7Q9OsZdSVuhM9HZ9Zqukx+h836b3QOf3w+9TgO/HEg8dHXKDToNPF4Zjg4fWu2B+Nw+GbJ84aMaRUGAIHYGNewCGU+//9zTi4vnWE3rsLXV/QS117mq0PtBt4+313xC5x2lc50o+Dox3LVyFKXn82o5dNI67G0GktNi7/UYymuH8QUChF4nuwC+/qJHUYKfQ5iqHOD9z07ggW9fesHtROuFRy/W8fZC1seotDgUTE4LfikZb9ZhxvjU4JcwbQ4PGq1ONFo70NjqRJPVhUarCycabEPaL2s0X39h6VcAg14LSRSgkQQoCuDz++HxKcEvG+VuXxLJfgUaUQh8kaiTYOw8dsYZtTAbAgm/OKMGZqMOcYbAMTHBrMWhk1bYHF4oUGAyaDBpdDIcLi863DJcbh+cbh9cbhkdnkBSOvDFqgSNJMBk0CA10Yi0RCPMRk2fXxiJooAMiwkmQ+D4bTBokWjSwmTQwtDjeN//41DmuRhtnG+evpYlUmPt7zXxZh00mkB9Wa1W6vV5dW3zsuyH1e5GY4sLja0uNLQ40ebwwOnyotXhQW2zAz458H/RdawXBPT8IrLri20B0EiBxLFOJ6Gr69Fic8Pj88Pt9cHrHXo5gmBiecBjwHmcZwYhxCNSr+NMH7uFAXOoQu9Ebigdg94vGbiNWP1tjCQJ0Gs1EAQgzqSDJACSRgx84X2Bx0qx80sMIiIiUk9EJ5SHW3KyeVjamT97eNqJRfNn5w3pdV2fTVpaPKaMSxvOkIiIKMy69ukWS9wFtTOnwNTvc8nJZozJie5RbhlpCRf9PeYUjL7o70EXLikpsK3393klJ5sxjh8lEYALP7YQERHRhYvoy5hnZWWhoaEBshz4qaYsy2hsbERWVpbKkREREcUOHm+JiIiIiIgoVBGdULZYLMjPz0dpaSkAoLS0FPn5+ayfTERENIx4vCUiIiIiIqJQCUqv4mCRpaqqCqtWrUJ7ezsSEhJQUlKCcePGqR0WERFRTOHxloiIiIiIiEIR8QllIiIiIiIiIiIiIooMEV3ygoiIiIiIiIiIiIgiBxPKRERERERERERERBQSJpSJiIiIiIiIiIiIKCRMKBMRERERERERERFRSJhQJiIiIiIiIiIiIqKQMKFMRERERERERERERCFhQpmIiIiIiIiIiIiIQsKEMhERERERERERERGFhAlllVVXV+P222/HwoULcfvtt+PEiRNqhxQ2VqsV9913HxYuXIhbbrkFK1euREtLi9phhdXzzz+PyZMn4+jRo2qHElZutxuPP/44brzxRtxyyy149NFH1Q4pbLZs2YJbb70VS5YsweLFi/HRRx+pHdJFU1JSgvnz5/faxkfyfm8kWrduHRYtWoRbbrkFS5YsUTucC7Zz507k5+fjzTffVDuUIfnFL36BRYsWYfHixbjjjjtw4MABtUMatFjZh8RiPygW+jWx1EeJ5j4H+xBEREQRTiFV3X333cq7776rKIqivPvuu8rdd9+tckThY7ValR07dgQf//KXv1T+/d//XcWIwquiokK59957lXnz5ilHjhxRO5yweuqpp5RnnnlG8fv9iqIoSlNTk8oRhYff71cKCwuDn/ehQ4eUmTNnKrIsqxzZxbF7926ltra21zY+kvd7I83GjRuVZcuWKTabTVGU6P9ft9lsyre//W1l+fLlyrp169QOZ0g2b96sYwMKBQAADPtJREFUeDye4P0FCxaoHNHgxco+JNb6QbHSr4mVPkq09znYhyAiIopsHKGsoubmZlRWVqK4uBgAUFxcjMrKyqgfnRKqpKQkFBUVBR/PnDkTtbW1KkYUPh6PB08++SSeeOIJtUMJO4fDgXfffRcPPPAABEEAAKSmpqocVfiIogibzQYAsNlsSE9PhyjG5q64sLAQWVlZPaaN9P3eSPPaa69h5cqViIuLAxD9/+u//OUvce+99yI5OVntUIZs3rx50Gq1AALH3fr6evj9fpWjCl0s7UNiqR8UK/2aWOujRHOfg30IIiKiyKZRO4CRrK6uDhkZGZAkCQAgSRLS09NRV1eHlJQUlaMLL7/fj7feegvz589XO5SweO6557B48WLk5OSoHUrY1dTUICkpCc8//zx27twJs9mMBx54AIWFhWqHdtEJgoD/+Z//wY9+9COYTCY4HA787ne/UzussOJ+b2SpqqrC/v378dxzz8Hj8eCOO+7Ad77zHbXDGpJt27bBZrNh0aJF2Lp1q9rhDIv169fjuuuui5oEExC7+5Bo7wfFSr8mlvoosdjniNX/fyIiomjEhDJFhKeeegomkwl33XWX2qFcdOXl5aioqMC//uu/qh2KKmRZRk1NDS655BL8/Oc/x/79+7FixQps2rQpOIoxVvl8Prz00kt44YUXMGvWLOzZswcPPvggPvjgA5jNZrXDIxq0b37zm/2OqPz8888hyzLq6urwhz/8AVarFXfeeSfGjh2Lyy+/PMyRnt9Ay/Lhhx/iv//7v/H666+HOarBO99n0pWI+eCDD7BhwwasX78+nOFRP6K5HxRL/ZpY6qOwz0FEREQXExPKKsrKykJDQwNkWYYkSZBlGY2Njb1+3hXrSkpKcPLkSaxduzaqRkkN1e7du1FVVYUFCxYAAOrr63Hvvffi2WefxTXXXKNydBdfVlYWNBpN8OeKM2bMQHJyMqqrqzF9+nSVo7u4Dh06hMbGRsyaNQsAMGvWLBiNRlRVVeHSSy9VObrw4H4vtrzzzjsDPp+dnY3i4mKIogiLxYKrrroKX375ZUQmlAdalrKyMjQ1NWHp0qUAAhdT27JlC1pbW7Fy5cpwhRiS830mALBp0yb8+te/xhtvvBF1P+ePxX1ItPeDYqlfE0t9lFjsc8Ti/z8REVG0ir5eawyxWCzIz89HaWkpAKC0tBT5+fkj6idbq1evRkVFBdasWQOdTqd2OGGxfPlyfPrpp9i8eTM2b96MzMxMvPrqq1F30jVUKSkpKCoqwmeffQYgcLXu5uZm5OXlqRzZxZeZmYn6+nocP34cQKAcQHNzM3Jzc1WOLHy43xtZiouLsX37dgCA0+nEnj17MGXKFJWjGrzCwkJ88cUXwf32woUL8eMf/zjiksmh2LJlC5599lm8+uqrUVmeINb2IbHQD4qlfk0s9VFisc8Ra///RERE0UxQFEVRO4iRrKqqCqtWrUJ7ezsSEhJQUlKCcePGqR1WWBw7dgzFxcUYM2YMDAYDACAnJwdr1qxRObLwmj9/PtauXYtJkyapHUrY1NTU4D/+4z/Q2toKjUaDBx98EHPnzlU7rLB4//338fLLLwcv9vMv//IvuP7661WO6uJ4+umn8dFHH+Hs2bNITk5GUlISPvjggxG93xtpOjo68Oijj6KyshIAsGTJEixfvlzlqC7cqlWrMG3atKgsT3DFFVdAq9X2SMC88cYbUXWhwVjZh8RqPyja+zWx1EeJ5j4H+xBERESRjQllIiIiIiIiIiIiIgoJS14QERERERERERERUUiYUCYiIiIiIiIiIiKikDChTEREREREREREREQhYUKZiIiIiIiIiIiIiELChDIRERERERERERERhYQJZSIiIiIiIiIiIiIKCRPKRHTR1NbWoqCgALIsqx0KERFRTHv//ffxgx/8QO0wiIiIiGgEEBRFUdQOgogGZ/78+Th79iwkSYLRaMS1116LRx99FGazGQDg8XgwZ84cbN68GStWrMC+ffug0WiCry8qKsLatWt7tfv222/j4YcfhsFggCAIyMnJwU9+8hPMmzcv5LiefvppXHXVVcOzoERERCoa6vFWFEVMmTIFjz32GCZPntxn26tWrUJpaSm0Wi20Wi2mTp2KRx55BOPHjz9vXKdPn8aCBQtw8ODBHsd3IiIiIqJw4Ahloii1du1alJeX45133kFFRQVefPHF4HNlZWXIz88PnvA+9thjKC8vD976SiZ3mTlzJsrLy1FWVoZly5bhpz/9Kdrb2y/68hAREUWioRxvd+3ahdmzZ+NnP/vZgG3fe++9KC8vxyeffIKMjAw8/PDDF3VZiIiIiIiGAxPKRFEuIyMDc+bMwbFjx4LTtm3bhrlz515Qu6IoYsmSJXA6nThx4gQA4NSpU/je976HoqIiFBUV4aGHHgomm//t3/4NtbW1WLFiBQoKCvDyyy/j9OnTmDx5Mnw+HwCgoaEBK1aswOzZs3HDDTfgT3/60wXFSEREFC6DOd5KkoSbb74ZVVVVIbVtMBhw00034fDhw8FpW7duxa233orLLrsMc+fOxW9/+9vgc3fddRcA4PLLL0dBQQHKy8vx9ttv48477wzOs3fvXtx2222YNWsWbrvtNuzdu3fQy0xERERE1BcmlImiXF1dHT755BPk5+cHpw1HQlmWZbz99tvQarUYNWoUAEBRFNx///3Yvn07/v73v6O+vj54gvurX/0K2dnZwZFc9913X682f/rTnyIzMxPbt2/Hb37zG6xevRpffPHFBcVJREQUDoM53no8HmzYsAEzZswIqW2n04nS0lLk5uYGpxmNRpSUlKCsrAwvvfQS3nrrLfzjH/8AALz55psAgN27d6O8vBwFBQU92mttbcX999+Pu+++Gzt37sQ999yD+++/H1arddDLTURERER0LhZdI4pS//zP/wxJkhAfH4+5c+dixYoVAAKjiGVZxrhx44LzPv300ygpKQk+vuuuu/Dggw/22e7+/ftRWFgIl8sFSZLwn//5n7BYLACAvLw85OXlAQBSUlJwzz334Pnnnw8p3rq6OuzduxcvvfQS9Ho98vPzsXTpUrz33nu48sorh7QOiIiILrahHG87Ojqg1+vPe4x87bXXsH79etjtdmRnZ+OFF14IPldUVBS8P2XKFNx8883YtWsXrr/++vPGvHXrVuTl5eHWW28FABQXF2PdunXYsmULvvWtbw1q+YmIiIiIzsWEMlGUWrNmTZ8Xv9u2bRuuvfbaHtMeeeQRLF26NKR2Z8yYgbfeegsOhwMPP/ww9uzZg2984xsAgLNnz+KZZ55BWVkZHA4HFEVBQkJCSO02NjYiMTERcXFxwWnZ2dmoqKgI6fVERERqGMrx1u/3Y+/evfinf/onrFu3DlOmTOmz7R/84Af4yU9+gtraWvzwhz9EdXV1cN79+/fjv/7rv3Ds2DF4vV54PB4sWrQopJgbGxuRnZ3dY1p2djYaGhpCej0RERER0UBY8oIoxvR1gjsUZrMZTzzxBN577z1UVlYCAFavXg1BELBhwwbs3bsXv/rVr6AoSkjtpaeno62tDXa7PTitrq4OGRkZFxwrERFRuA10vBVFEYWFhcjNzcVnn3123rays7Px8MMP45lnnkFHRwcA4KGHHsKCBQuwbds27NmzB3fccUfwmCsIwoDtpaeno7a2tsc0HnOJiIiIaLgwoUwUQ1wuFw4cOIArrrhiWNpLSkrC0qVLsWbNGgCAw+GAyWRCfHw8Ghoa8Morr/SYPzU1FTU1NX22lZWVhYKCAqxevRputxuHDx/GX/7yFyxevHhYYiUiIgqXUI635eXlqKqqwoQJE0Jq8+qrr0Z6ejr++Mc/AggccxMTE6HX6/Hll1+itLQ0OG9KSgpEUez3mDt37lycOHECGzZsgM/nw9/+9jd89dVXuO6660JfSCIiIiKifjChTBRDduzYgZkzZ0Kv1/eY/uSTT6KgoCB4G0z9xO9///vYtm0bDh8+jJUrV6KyshKFhYVYvnw5brzxxh7zLl++HC+++CIKCwvx6quv9mpr9erVOHPmDObMmYOVK1fixz/+cZ8/IyYiIopkoRxvf/azn+HBBx8c1EVyf/jDH+KVV16Bx+PB448/jt/85jcoKCjAmjVrcNNNNwXnMxqNWLFiBe68804UFhZi3759PdpJTk7G2rVr8frrr6OoqAivvPIK1q5di5SUlAtbcCIiIiIiAIIS6u/ViSjiPfHEE5g4cSK++93vqh0KERFRzOLxloiIiIhGMl6UjyiG5OfnY968eWqHQUREFNN4vCUiIiKikYwjlImIiIiIiIiIiIgoJKyhTEREREREREREREQhYUKZiIiIiIiIiIiIiELChDIRERERERERERERhYQJZSIiIiIiIiIiIiIKCRPKRERERERERERERBQSJpSJiIiIiIiIiIiIKCT/B7kapknVYlXPAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "plt.figure(figsize=(20,18))\n",
        "for idx,col in enumerate(attr.columns):\n",
        "  plt.subplot(4,3,idx+1)\n",
        "  plt.title('Distribution of '+str(col),fontsize=14)\n",
        "  sns.histplot(attr[col],kde=True)\n",
        "plt.tight_layout()"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "As we only scaled the data, there is no change to the distributions other than the axis scales. Note that each distribution has a mean centered at 0 and a standard deviation of 1. This is especially apparent in the distribution of price change, which is approximately normal."
      ],
      "metadata": {
        "id": "VwVdfFpumSoR"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "g65eWNkmUw55"
      },
      "source": [
        "## K-means Clustering"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Exploration of k values"
      ],
      "metadata": {
        "id": "efXxMA2HE0yP"
      }
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ZNRiMg0wMKth",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 386
        },
        "outputId": "4009a180-9cc1-433e-e2d8-8257fd7b8b47"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "# elbow method visualization\n",
        "km=KMeans(n_init=10,random_state=1)\n",
        "vis=KElbowVisualizer(km,k=(1,10),timings=False,locate_elbow=False)\n",
        "\n",
        "vis.fit(attr)\n",
        "vis.show();"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The curve is fairly smooth, but k=3 and k=4 have slightly more bend than the rest in my estimation. "
      ],
      "metadata": {
        "id": "27e0tpusB7JV"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# compute silhouette scores\n",
        "scores=[]\n",
        "for k in range(2,10):\n",
        "  scores.append(silhouette_score(\n",
        "      attr,\n",
        "      KMeans(n_clusters=k,\n",
        "             n_init=10,\n",
        "             random_state=1).fit_predict(attr)\n",
        "  ))"
      ],
      "metadata": {
        "id": "NaT9SkU8_K6K"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(8,5))\n",
        "plt.title('Silhouette Scores by Number of Clusters')\n",
        "plt.plot(np.arange(2,10),scores,marker='D')\n",
        "plt.xlabel('Number of Clusters')\n",
        "plt.ylabel('Silhouette Score');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 359
        },
        "id": "3x621_4eAz7k",
        "outputId": "47e25232-125a-4556-80c4-34a2c7e7fe43"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Looking at the silhouette scores for various numbers of clusters, we see the greatest score is achieved at k=3 clusters. After k=4, the values drop off sharply. At k=8, there is a brief rise."
      ],
      "metadata": {
        "id": "ZErQgg62Barq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# broad search silhouette\n",
        "scores=[]\n",
        "for k in range(2,30):\n",
        "  scores.append(silhouette_score(\n",
        "      attr,\n",
        "      KMeans(n_clusters=k,\n",
        "             n_init=10,\n",
        "             random_state=1).fit_predict(attr)\n",
        "  ))\n",
        "\n",
        "plt.figure(figsize=(8,5))\n",
        "plt.title('Silhouette Scores by Number of Clusters')\n",
        "plt.plot(np.arange(2,30),scores,marker='D')\n",
        "plt.xlabel('Number of Clusters')\n",
        "plt.ylabel('Silhouette Score');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 359
        },
        "id": "q0bpDbXjHkQz",
        "outputId": "3383dcab-7dcd-4c5e-a54a-4f0bc8710fd4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Although k=8 looked appreciably worse than k=3 in the last plot, this broad search reveals that the scores for k<10 are all quite good. Interestingly, there's a spike around k=13.\n",
        "\n",
        "To determine the best value for k, we will use the silhouette visualizer to study the quality of clusters."
      ],
      "metadata": {
        "id": "mC70kk2FCPCz"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# silhouette visualizer\n",
        "for k in range(2,10):\n",
        "  vis=SilhouetteVisualizer(\n",
        "    KMeans(n_clusters=k,\n",
        "           n_init=10,\n",
        "           random_state=1)).fit(attr).show();"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "wDj5K-jVGwep",
        "outputId": "97edef41-111e-4899-a053-efc51949cd43"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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OpUmTJgVijIuL46+//gr4fRdnyJAhHDt2jEmTJnH69GkGDx7Mgw8+iMViKbBsUlISu3bton379r5pHo/H78dQ/uNVWOx5r11GRkbicDg4efIkbrfbb/1zbSuvEydOULNmTb8knP/8CHR7mqbRsmVLvvrqKxYvXszf//533njjDd9Np4Wx2+1+90ekp6djt9vRNK3Q5QcPHszgwYNxuVxs3ryZhx56iBYtWtCtWze2bt3KCy+8wP79+zEMg6ysLBISEnzrxsXF+e4vsNlsAH73pkRERPjFUrNmTd9zXdepUaNGoZ+7I0eOcN999/kdQ13XSUlJOa/zJL/833PZ2dmFXsPOfS933nknlSpVolKlSowYMYKtW7dy4403FtjuuT4HgXwX5v2hkHsuFre9uXPnMm/ePN80pRTHjx+nTp06gP851rlzZ2655RbmzJlDUlIS11xzDVOnTg34B1KoSKI/hyZNmnD99dfz9ttvX9R2qlevzpEjR/ymHT161JeYIiMjyczM9M3Le7LXqlWLIUOG8Pjjj1/w/mvVqsW4ceO45557Lngbhcl9X7kl1aNHj/p+4Rb1hZgrPj4ei8XCkSNHaNq0qW/9GjVqnFcM11xzDU6nkwkTJvDSSy9xxRVXFFjmuuuuY9q0afzzn/8sMK+4Y5OUlMT06dNZtWoViYmJvhJMoLp160a3bt3Iyspi0aJFzJgxgzfeeKPAcp07d+bTTz8ttNakMMWdLxaLhfHjxzN+/HgOHz7M2LFjadSoEcOHDy+wnVq1atGhQwdWrlwZ8HsKVOXKlTGbzRw7doxGjRoB3v/fQFWvXp1jx45hGIYvUR09evSibqR0u92++2a+/fZbvv/+e/7zn/8A3pvy/ve///Hrr78yc+ZMmjVrxm+//Ubr1q0B+O233wK6UdBisdCvXz+WLVvG7t276dSpExMmTGDevHn06tULi8XCvffeW+wd/OeSW1IG73Xw48ePF1qyrFmzJnPnzqVdu3aFbifQ8+RCNWrUCIvF4vddUNz3wrk+BxfzXVjYfnM/+/lr+Ypb77bbbuO2224jJSWFiRMnsnz58rBvYSFV9/ns3buXFStW+D5IR48e5cMPP+Tyyy+/qO12796d/fv3s379etxuNxs3bmTPnj1cffXVAFxyySVs3LgRl8vFTz/9xCeffOJbd/DgwXzxxRd8+eWXeDwesrOz2bZtmy/GqlWrcujQIb/95Z82fPhw3nrrLX788UeUUjgcDrZs2UJ6evpFva8BAwbw0ksvcfLkSU6ePMkLL7zAoEGDAG+JJC0tjTNnzhS6rslkom/fvixcuJD09HSSkpJYuXJlsR+6ogwcOJCZM2dy77338t///rfA/P79+7NixQr69etXYF5xxyYzMxNN06hcuTLgvamqsJsSC5OcnMzmzZtxOBxYrVbsdnuhVcQAEyZMYMeOHcybN8+XtA8cOMCUKVM4ffp0geWLO1++++47fv/9dzweD9HR0ZjNZt9+858XV199Nfv372ft2rW4XC5cLhe7du1i7969Ab3H4phMJvr06cPzzz9PZmYme/fuZd26dQGv37p1a2w2G8uXL8flcrFt2zY+//xz+vfvH9D6hmHw1ltvcerUKZRS7Nq1izfeeIPOnTsD8OSTT7Jx40bWrl3L2rVradWqFePHj+fBBx8EvDUjK1eu5Pjx4xw/fpyVK1cydOjQQvf1/vvv+84ZwzDYunUre/bsoXXr1jidTpxOp++Hz9atWwttLno+fvnlFz799FPcbjevvPIKVqu10O+om266iUWLFvlqo06ePMnmzZuB4s+TkhIZGUn//v1Zvnw56enpHDt2jLffftv3vZffuT4H5/ouLE7lypXRdd3v/B85ciQvv/yy7zN95swZPvrooyK3sWvXLn788UdcLheRkZFYrdYSP2alQUr0+URHR/Pjjz+ycuVKzpw5Q0xMDD169ODhhx++qO3Gx8ezZMkS5s6dy+zZs2nQoAFLlizxJZCJEycyadIkOnbsSIcOHRg0aJDv7thatWrx4osvMn/+fCZPnoyu67Ru3ZrZs2cD3l+YjzzyCG+++abvWuH48eN55JFHyMrKYs6cOfTv35/HHnuMOXPmcODAAWw2G23btvWrsr0Q9957LxkZGb7k3LdvX+69917AWxsyYMAAevfujcfjYcOGDQVK6zNmzOCxxx6jd+/eREREMHz48IBLtfkNHToUl8vF3XffXaCvA5vNRpcuXQpd77LLLivy2DRt2pQxY8YwcuRINE3juuuuo23btgHFYxgGq1atYurUqWiaRosWLXz/Z/nVr1+ft956i0WLFjFw4EDcbjd16tTh+uuvJyoqqkCyL+58SU5OZtasWRw/fhy73U7//v19tRCFnSv/+te/ePLJJ3nyySdRStG8eXP+/ve/B/Qez2XmzJk88sgjXHnllTRq1IgBAwbw888/B7Su1WplyZIl/OMf/2Dp0qXUqFGDp556qtBLH0XZtGkTCxYswOVyUb16dUaNGsWtt94KUKA1g8ViITo6mpiYGMCbBA4dOuT74XrDDTcwcuTIQvcTHR3NkiVL2Lt3Lx6Phzp16jB79mzf52v69OlMnDgRp9NJjx496NmzZ8DvoTC9evVi48aNTJ06lQYNGrB48eJCq9xvu+02lFK+FixVqlShf//+9O7du9jzpCTNnDmTGTNm0K1bNypVqsTw4cO54YYbCl32XJ+DSpUqFftdWJzIyEjGjRvHTTfdhNvtZvny5fTp04eMjAwmTZpEUlISMTExdOnSpdACAXjvCZo7dy6HDx/GarXStWtX7rjjjos5PEGhqYupPxJCiPMwf/58kpOT/a6JivOzePFiDhw4wNNPPx3qUEQZEf51DkKIMmvv3r389ttvvqrz1atX06dPn1CHJUSFIlX3QohSk5GRweTJk33VxmPGjKFXr16hDkuICkWq7oUQQohyTKruhRBCiHJMEr0QQghRjkmiF0IIIcqxMnkzXmpqBoYRPrcWVKkSTUrKxXU8UxrCMS6JKTASU+DCMa5wiylm7GisFhMpLywPdSh+wu04QXjGpOsa8fFRF7x+mUz0hqHCKtEDYRdPrnCMS2IKjMQUuHCMK6xiOnYMLKbwiimHxFT6pOpeCCGEKMfKZIleCCFE4IxatcF27lHpRPkkiV4IIcq5My8tx1YtBv4qfIApUb5J1b0QQghRjkmJXogw5HK5yM7OCnUYfjIzzWEXE4RnXKGMSSmFzRbpNy1q+lSItMKjj4UkJhFakuiFCEP/+9//OHr0BJqmhToUH5vNQlaWK9RhFBCOcZV0TEqpnIdR6B3huq5jNpsxmcyYzWYuuaSV3zjp5p9/AoupxOIRZYskeiHCkNvtxmKxFjrGeKjY7VY0zRnqMAoIx7guJCbDMHC5nHg8HjRNI/8wJCaTGZPJhNls9kvqFouFyEg7ERE2IiJsmEyS0IU/SfSl6PTp01x3XT8GDx7KxIlTQh3Oefv88838+98rUAqczmwSEi5h9uwnAPjb325m6dIVRETYuOGGQTz11EIaN27K+PFjuemmW7nyym6lHt/Ro0f4v//7jiFDrvdNe+edN+jTpy/x8ZXPe3vvvfcO69a9h6bpuFxOunTpxvjxE0syZFFBKaVwu90YhgfDMHxJ/GyNjQI0YmPjiY+v7EvYum7CZNLRdVNY1e6IskUSfSnatOljLr20FZs3f8J99z1QYqUzt9uN2Vy6/3XJycksWPAk//rXa9SoUROlFLt3/+6bv2rVG6W6/0AcPXqEDz5Yky/Rv0n79h3PO9H/+usvvPvumyxb9ioxMTF4PB727fuzxGL1eDxS0irDcqvOQaEUeZ4X9lphGE6yslwopXwJ2m6PwmaLwWq1YbVaMZstvtJ57kPT5P5oUfIk0ZeiDRs+4N57J/Dvf6/iyy+30rNnb5588jEaN27KjTfeBMCff+5h6tTJvPPOWhyODBYvXsjevbtxOp0kJrbn/vsfxGQyMX78WJo1a84vv/xEpUqVePLJBTz88EROnTpFdnY2LVteykMPTcNiseByuViw4Cl++mkHMTGxNGuWwMmTKTz++FMAvPbaKrZu/RyPx0PVqtWZOvVRqlSp6hf7yZPJmExmYmPjAG/JIyHhEt/8rl3b8+mn/8Futxd43zt3bue111aRnJxMz569ueee+wE4fPgQU6bM46+/kjGZTIwdex9XXNGFo0ePcOedt7Jhw2cABV5/++1XvPrqCrKznVgsFu6/fxKtWl3GggVPcfRoEn/7283UrVuXZs2ak5z8F9OnT8VqjWDWrMepW7ceL7/8Ijt3/hen00XTpk2ZPPnvBeI+ceIEUVHRREZ6b2IymUw0bdrMN//rr79kxYqXcbvd6LrGo4/+g6ZNm/Hdd9+wdOnzGIZBXFw8Dz00jbp167F9+w88++zTNG/egj/++J277rqHevXq8eyzCzh1Kg2Xy8WNN97EgAGDL/wEEyXCW9p24XS60HXNNy3vfE3T0HU9z8NU4HVuyVvXdeLjo8nIcKJpOpGRdiIj7SH9oedp0lTa0VdgQUv0PXv2xGq1EhERAcCUKVPo1q30qndjr+tfYFr24KFkjbkLHA5ib76hwPyskbeQPfIWtJQUKt1xa8H5f7uD7OuGBbT/PXt2c/r0Kdq168DJkyls2PABPXv2pl+/QTz77Hxfot+wYT39+w9E0zQWL15ImzZteeSRGRiGwT/+MZ0NGz5g8OChABw5cpgXX1yO2WxGKcWsWY8TGxuHUorHH5/Fhg3ruO66G1i37j2OHz/Ghg0bOHYsjfvvv5vq1asD8MknG0lKSmLp0lXous6aNat5/vlFzJr1uF/8TZsm0LLlpQwbNoDExHa0bt2Ga6/t70v8xTl+/BgvvLAMh8PBiBFDGDhwCPXq1ecf/5jOLbfcxNVX92Xfvj8ZP/4uXnttdbHbSko6zKpV/2LBgsVERUXz5597mTJlAu+/v4FJkx7mhRee5V//+rdv+fXr1/L44/No3LgpAKtWLScqKoply14F4MUXn+Pf/17J3Xff57efjh2v4PXXX+GGGwbRpk1bEhPbce21/bHZbBw8eIB58x7nhReWUa9efZxOJ263i9TUkzz++EwWL36ZRo0a8+GHa/nHP6azbNkrAOzb9ycPPTSNVq1a43a7GTv2b8ya9TgNGjTE4cjgjjtupVWr1jRo0PCcx1SUDsMwyMx0EBlpp2HDukRFxaDrOpqmo+ua7y9o51V1Xq1aDH+FUZv19GeeI1La0VdYQS3RP/fccyQkJARzlyHz4Yfr6Nt3AJqm0b17DxYunM9ff53g8svb4HA42Lt3Dw0aNGTz5k9YunQlAF999R9+/fUX3nrrdQCysrKoXr2Gb5t9+vT1VdkbhsGbb77Gd999g2F4OHPmDDabDYDt2/9L3779MZvNRERE0Lv3tezatcO3j99++5UxY0YB4PG4iY6OLhC/ruv885/P8Oefe9ixYztffrmFN974N6+++haVKsUW+9579OiFrutER0fToEEjkpIOU6VKFfbs+YNhw4aRkpJBo0aNadrUW0PRpEnTIre1bdu3JCUd5r77xvqmeTweTp5MOef/AcDXX/+HjIwMtmz5HACXy+lXUs8VGRnJ0qUr+e23//Hjjzv48MO1vP/+uyxf/irff7+NK67oQr169QGwWq1YrVa2b/8vTZok0KhRYwD69x/MM8/Mw+HIAKBu3Xq0atUagEOHDnLgwD5mzZrm26fL5WL//n2S6IPIW61u4Ha78XjcANSt24AaNWpKtbkot8pt1f2ptRuLnmm3FztfValS/Prn4HK52Lz5YywWKx9/vAHwXlffuHE9t99+B337DmDjxvUkJrajYcNG1KxZK3fPzJ37NHXq1C10u5GRZ6ubN236mF27dvLii8uw26N49dUVHDp08JyxKaW4/fYxDBw4JKD30rhxUxo3bsqwYTcyatRwduz4L9279yx2Has1wvdc13U8Hk+xy5tM/oNtOJ1n71ZWStGpU2dmzJhTYL39+/edM36lYPLkR2jXrsM5l9U0jRYtLqVFi0sZNmwEgwb14c8/955zvaLk/f9SShEbGxcW9zaUJx6PB6fTidPpRCkjJ5F7m6HllsDzlsSVUpjNFmJiYoiOrjk6454AACAASURBVESlSrF+/0/lVfTkCd6q+yeeCXUoIgSC+hN2ypQpDBo0iNmzZ3P69Olg7jqovvxyK/XqNWDNmo2sXr2e1avXs3Dh83z00YcA9O07kM2bP+HDD9fSv/8g33pXXnkVr732ii8xpqWlceRIUqH7SE8/Q2xsHHZ7FOnp6Wza9LFvXmJiOz799CPcbjfZ2dl8/vkm37yuXa9izZrVvuPvdDrZvfuPAtv/668T/PzzLt/rEyeOk5aWSq1atS/omNjtUTRtmsCaNWsAb5Leu/cPLr30MipXroLb7ebw4UMAfu+lY8cr2LbtW7+E++uvvwAQFRVNRob/cJJRUd7jkff9vv32677OSxyOjEJ/IBw4sJ8//9zje33w4AFcLhfVq1enY8cr+O67b3w/pJxOJw5HBpdeehl79/7BgQP7Afjoow9p1qw5dnvB4STr12+AzWbz/fDL3Wf++EVglFJkZjpwuZxERERgt9uJjY2jatXq1K5dlwYNGtOoUVOaNm1Os2YtuOSSVrRs2ZrLL2/H5Ze3o0mT5tSoUatCJHkA09498EfBz7moGIJWon/99depVasWTqeTJ554gjlz5vD0009f0LaqVClY1Rxq1arF+J5v2rSB66+/zm9ajx5X8sQTsG/fr3Ts2JGEhGbs3Lmd559/zncD2Jw5s5g/fz533jkKTdOwWCxMmzaNatVisFrNxMZG+rY5atRItm37mltvHU6VKlXo1Kkj2dnZVKsWw5133s7hw/sYMGAA8fHxNG/ezBfjrbeOxOPJYuLEcYD3C/Omm26iS5d2fu/H6TzN00//i6SkJGw2G4Zh8OCDD3LllWdLxlWrRhMVFYXJpBMfH1VonHlfP/vsQmbOnMmqVaswm83Mnz+fhARvdfj06Y8yefJ4KleuzNVXX42maVSrFkO1apfyzDNP88wzc8nKysLlctG2bVuuuuoK4uMTadq0CaNH30Tjxo157rnnGD36bzz11OPYbDaeeeYZJk4cz/PPP8+4caPRNO911vHjx9OhQ2u/9xsZqTN37tOkpKQQERGByWTi6aefJiGhAQBPPPE4jz023Xf3/JNPPknz5s2ZP38+TzwxE7fbTeXKlVm0aAHVqsUQF2fHbNb9zoFly15m7ty5vPPO6xiGQZUqVVi0aBGVK8eQ38GDEBlpwWq1ns9pWOrs9uDGo5TC4/H4PXLbmNeuXYOEhATffT/hJu//fcjldJYTVjHlkJhKn6by98oQBL///jv33HMPn3/++QWtn5KSHlbjBYfbjTfgLbk2aFCTpKQUHnlkEj169GbQoOtCHVZYHqtwjOngwT9IS0sPuw5zHI5zdwJztomZgWEY5G12draZmveyirdWPbeK/ez6uTRNy7knwtsZjM1my7mp1+arOQnH/79wiyn2uv5YLSb+end9qEPxE27HCcIzJl3XLqqAG5QSvcPhwOPxEBMTg1KKjRs30qJFi2DsusJ64IF7UcqDw5FJ+/Yd6ddvYKhDEuVUZqYjT3LWAANdN/ta2ZhMJl+vbrk9u+Vvnua9uz1v0zXN91w6ihHi4gQl0aekpHD//ffj8Xh7hWrSpAmzZs0Kxq4rrGXLXgnLX6ai7MotpedWoRuG916SiAgbderUw2Kx5nTJas1J3pKgw4W71WVYI8PrMpAInqAk+nr16rF27dpg7EoIcQFyu2j1eNy+Llq9iVpD07zV7IZhxun0YLNFUqlSHHZ7pK8K3WKRJBLOMh6fh13a0VdY5bZ5nRCiaPlL5kopIiPtxMXF+3XPmjtwislkpmbNOE6edIQ6dCHEeZJEL0QZkVt1XvDGtoI3up2loWne/tgBX+lc103YbDZfO3K7PYro6Jhiq9ulr/6yK+aeO73t6Be+FOpQRAhIohcijORWoWdmZua0EzfjvcHNm6ktFqvvpjZv/+r+j9xpZ29203zPc/trzy2hyzX0ikM/ekTGo6/AJNGLCu1sMzCP30hk+UvKucsWbCJWVMm64Ihm/iVy/17clFK4XC4yMs7gdruJiDBTo0ZNYmPjc8alt2K1WqSbViHEeZNEL8osl8vJ6dOnc8b49uDxeBO296Yyj+/mMu/DU2j1tlIKm81CZmZu+/Cz1dxnl1N52nznl39i3m3nbRuev8143rbjZ6eZzRYsFiuapqhRo3aF6blNCFF6JNGLMislJZmTJ5PzXbc2UIX0paRpes4wonrO67OjkUVFRWAyZQcz9HOKjY3CbA6fznKEEGWXJHpRZtWsWZuaNS+s7/28wrG/gXCMSZRd7vYdsQa5+2IRPiTRCyFEOZcxfba0o6/A5M4eIYQQohwLeqJ//vnnad68OX/IkIlCCBEUlUaPgmHDQh2GCJGgVt3/8ssv7Ny5kzp16gRzt0IIUaFpqSelHX0FFrQSvdPpZM6cOcyePTtYuxRCCCEqvKCV6J999lkGDx5M3bp1g7VLIcos5XSjOVyhDsOPSneGXUwQhLiU75+83SQUO88wm9FOZXsnqvzL5/acUPg8ACPeBrr0XChKRlAS/Y4dO/j555+ZMmVKiWyvSpXoEtlOSapWLSbUIRQqHOOSmM7N9ckeKp3OOv8VC+vVp8h8oRU+r4iOgVzacSoFuOz5bPdil3Vpyfni0grdhlbItKKWLXxa4Mt69p8m9iK2a6oWjV6lBDtLyqm2D7fzHCSmYAhKov/+++/Zu3cvvXr1AuDYsWPccccd/POf/6Rr167nvb2UlHQMo5BeUUIkXNs8h2NcElNg4qvZORNnBZPunxjylvK0QhJfnkSvipnnt17+DFjEvPjKdlJTHfmW0c4WRDUKzCsYX54FLnCeyrefqlWjSU7OKCTuIuIIdN5FjAVw0eeU4SnRpnD2K7oSFRURdud5OH72wjEmXdcuqoAblEQ/duxYxo4d63vds2dPlixZQkJCQjB2L0SZY25bG0+4fdlUi8bQwucHdi7NZoEIudGsOI7JU4mSdvQVlrSjF0IIIcqxkPSM9/nnn4dit0IIUSHFjrwerGZ49Z1QhyJCQLrAFUKI8i4rCzxyeaOiClqiv/feezl8+DC6rmO325kxYwYtWrQI1u6FEEKICiloiX7evHnExHibLGzevJlp06axZs2aYO1eCCGEqJCCluhzkzxAenq6byxwIURhDmM2J4U6iHyiMJszzmN5A1BomvI99/7NOy93esFlzs4ruIx3Xu52rNhsmYBCqViys7sDUk0tRK6gXqN/9NFH+frrr1FKsXz58mDuWogcuc3DjDyvnTmPvElG5Vum4PMLW6bgw7tM/sdWoqJ2F/M+8jdaz2ljnr+R+Xn9zbuNgtPBSmSkO9/0s8splX/5gssUva+ilzn3viLQdWfOdAcFu68Tzj59sUZHhDoMESKaUiron4q1a9eyYcMGli1bFuxdi7CiAA/gzvfXk+d1UY9svMk5929hDzfgynl48Cbc3KSbv5cUVcT0/PEW1pPLuT5ChS2Td1uqkOWygA5Adc4mNBPeFrFanr/n89Dz7Cd3fXKeF7bdoqbpAa4nhAgHIUn0AK1bt2br1q3Ex8ef97rSM15gSjYuBbjQtMwCD3CiaS40LTcBu3Neu3zPcxN0VJSGw5GZM80DgKZpeUqixcegaSpPac6baJTS8U9CudMKS0KQPwlFRVnJyHBe8JEpDVFRqaSk3IphVA11KD4V4zwvGRJTYCSmwJSJnvEyMjI4ffo0tWrVArzt6GNjY4mLiwvG7sUFU9jtq3ISuLd07H3u8k3z/j3HVtTZBAzWnOurZxNx4D81C1vWyHO9Ns+S51WgtKDr4TZYiznnuAlx8WKv6+/t7/7d9aEORYRAUBJ9ZmYmDzzwAJmZmei6TmxsLEuWLJEb8sKeRlbWNWiaE6VslMTpYrNF4XCczw1dpS8yMhxjikEpuaYqhLh4QUn0VatW5Z13pEemssgw6pTwFmMwjPCqFgvXmCDcYhJClEVSNyiEEEKUY5LohRBCiHJM+roXQohyLnvwUKwxtlCHIUJEEr0QQpRzWWPuIkbGo6+wJNELIUR553CAQ7oFrqgk0QsRhvZ/f5ikX0+EOgw/SdERZKRnn/d6CoXhMnBnezDcHt90TdfQzTq6Saf5gARMFklEpSX25hukHX0FJoleiDCUvCeF9BMZmKxhlPycHjIdLpTyJm6Py4PhUSjDQHny9WSkgW7SvcncpKGZdHSzjsliwhplwRplxWK3YLaZscXZ0M1yX7AQpUUSvRBhymQzY7GF5iOqlMJwG3iyPbiz3aCBGQ13lgs0jYjoCCJiI7DaLd6EHWnGbDVhspgwWU3oOX9NFm9y13TpHEuIUJFEL0QZlztchTIUqJzXyvtaGQql1NnnOa/PjqOjoeUOsJMnFytDYYm0EFU9iujqdmxxkdSsF8+ZLCcWm1kStxBliCR6IUqZMhTODCfZZ7LxOD0ojzfhGoZCeQwMt/fh8RgYboVyG3icHjJTHLjtljwbyvtU+b3WNLzV4znV5CazjslmxmTV0c05JWurCXOEt9StW02YzCZ0s+atYs+pWvdeM9cw28yYI/y/HipViyZb7toWoswJSqJPTU3l4Ycf5uDBg1itVho0aMCcOXOoXLlyMHYvRFC5s9ykn0gn7eApMv7KIOtUdrFJGs07gh+a5k3YmobK9tCkV2PslSPRdA3NpKFp3iSu6Rq6rnmn53kIUZSskbdIO/oKLCiJXtM07rzzTjp16gTAvHnzePrpp5k7d24wdi9Eicq9fu3O9uDOdOHMcJJ1KgtHSiaZJ7PIOpMFCnSzjjnCjC3Wdt6JWGW6ia4RRWRcZCm9C1GRZI+8BaQdfYUVlEQfFxfnS/IAbdq04c033wzGroW4YNlnsjl16BTZ6U6cGS5cGU5cDheuTBeGobyXtDUNlEKB70a0yPhIGZlRhBUtJQW0bEBGRKyINKUCHw28JBiGwZgxY+jZsye33XZbMHctREA8Lg+nj57h8K5jHP35OBExVkw57b11iwnd5L2uXZrSkx10uPlyoqrYS3U/ooK4+mrv3y1bQhmFCJGg34z32GOPYbfbGTVq1AVvIyUlHcMI6u+TYlWrFsNfYVglFo5xhVNMSik8Tg9xMZGcOHoKR2omafvSOJV0GqW8hfWIeBuYdDyAB8DlAVdw4ks5mY7D8Jx7wSAJp/+7vMIxrnCLKdblwWoxhVVMEH7HCcIzJl3XqFIl+oLXD2qinzdvHgcOHGDJkiXounSQIUqGr823y8BwefA4PXhyO3RxGXicbpwOl7faPafq3ZXp9rYPVxAZaSEry41SCpPVdEHX1IUQIlwFLdEvWLCAn3/+mZdffhmr1Rqs3YoyShkKd5Y3Gef+dWW5cZ5x4szIuWbucOFxenA7vQnbe+d67gbIaR2uUAZoOdXtWk5zMnOEGYvdgqZpREVZ0TKcoXy7QghRaoKS6Hfv3s3SpUtp2LAhI0eOBKBu3bq88MILwdi9CCN+CTzbgycngWefzib7TDbOM06y0524s1ze6vPckrVS3tc5CTu3j3SzzYwlyiI3vwkhRBGCkuibNWvG77//HoxdiTCglMKZ7iTjLwdnjp3Bme70VZ1b0MjMdqHl9sSWm8BzBzgx6+gWHVuk3LkuREnJ+tsdWCtJU82KSnrGE+fFr1vVfD28ZZ3K4lTSGU4dTMOZ4UIDNPPZHtfMEWaiKkWgOYJ0N5sQAoDs64ZJO/oKTBJ9GaMMheHxjhZmuA0Mj+EdQcyT77lb4UnOJPVkRk4XqwrD8Ha1qtwqZ1nv8oY7Z3uGgXIb3sSds7zybTNnlDIDb0k8p7Ct5ekgXaHQdR2L3UJk5cJL5FJKFyL49KTDkBUNtrhQhyJCQBJ9GMjtCz0zLQtHsoOMZIf37nG34b1r3O29ezw3Ifu6TM0djAT8ByRRoClFhM1CVpbLt5imaaDnJGf9bNLVdK3Qbli9Xa+aMWlnb3STRC1E2RNz31gZj74Ck0QfBv74dA/OM9m4stwYTg/F9RCgoZ0doQygiKVV7j95FlNKgZHT13qIGOku74+PMBKOMUXHRaKbw2gseiFEmSWJPgwkXNu0qHx9UcKx4weJKTDVqsWQnJIe6jCEEOWAJPow4Nf+uyS3G4ajmklMgQm3eIQQZZd0TyeEEEKUY1KiF0KIci7znvuxxko7+opKEr0QQpRzzmv7STv6CkwSvRBClHOmPbvhZBRUrh3qUEQISKIXQohyLnrKA9KOvgILSqKfN28en3zyCUlJSaxfv56EhIRg7FaIMmvND4fYvjc51GH4ibRZyAyz/gYgPOMKVUyGUXg73TtSM9F1jWWbd/ummXQNXdPQNbx/de9zU57ncXYrA1vXClb4opQEJdH36tWL2267jVtuuSUYuxOizEtJzybSrBNpCZ9Oc+xRETjCsNVfOMZVEjFlujycyXYDebqazvMnt1Os3H6xdEDXwWLSsZg0LLqOxaxjNelEWnQsZhOX14vDZtax5jwsuo7ZpGHWNcwm7/PcaRaTRoR02lQuBCXRt2/fPhi7EaJc0XJKVuFC18MrnlzhGNe5YjIMhdtQuA0Dtyf3ubc0ntu9tc1ioneL6ljNJm8izk3GuobZpGHSvUnZlPParGtFdlEdGx2B1WKiR/NqpfF2RZgrk9foq1SJDnUIBVSrFhPqEAoVjnFJTIE4TqTdij0ivD6i9qiIUIdQqJKOSynlX2LOGU4597l3GW930rnTyfP6dKYLNN332m0o3B4DzduDNSZNIzrSShWbmRibmUqRFipFWoi2WbBZTERaTVSJthJpLaH//5yaofA7zyWmYAivb5EApaSkF3ktKhTCsQtVCM+4JKbAZTqcaG5PqMPwsUdF4MjIDsm+3YYiI9tNlttAB1RuZ5JKwxZpIbuI6+EFvyVyB4I6m6yLWsd7rRp0tJzaFfyvaecM8lTgWrdJo1J0BJmZTnRNw6Rp2KwmqsdYiY20EhtpJirCjF7cAFEeD+mnMimpTpAt4ycRF2cPu/M8HD974RiTrmsXVcAtk4leCHFhlFJ4lLfqOG9pVOUUSYt6DZClIDPTWWgJFs6WcME7AmKu3Kd5kzOaQkM7uzwKlWfQ49xX3u17q6YbVLbTqKodm8WElpNUNbw1fGmpGd7XudNzkrB3YMbcpJxnWp55edfJm8AvRrglC1f3HtKOvgKTRC/ERcqt5lXK/7mRr7q3sCpg73IACiPP9LQMJxnZbjyG4VeFDHkTKn5J1lDebfiGGfaL8ew6VrNOhNl7rVfT/Uukvuf62RJqbsk2LjYSR3q2/x3aOeub8q2j61pOSZgiE6l31OScv7qGjn8izru83WrGVMQ172rVovlLC58avnBk+mkXVI6COk1CHYoIgaAk+scff5xPP/2U5ORkRo8eTVxcHBs2bAjGrkUF9eXuZA6edJwtmXr/+CXL3OmRkVYcDmfOMirfMhQ73Xe9tsD2C1u+YHLOXdtvX0CV2Ehi7VYqR1nQwJc4dc074I03KYKu65hyEqLNohNhMRFh1nPuvNaxmjTfnde5d2NfaGk13EqpInDRMx6RdvQVWFAS/fTp05k+fXowdiUEAI2rRvlKg+Sp5tXyVNfmlnrj4+2cOpXpHeEpZ1ngbMmywHr+28tfVV0SqlSOwmYYRZZihRAiUFJ1L8qlOvGR1IkPbBCPcCypVqsWHXYxCSHKJhmmVgghhCjHJNELIYQQ5ZhU3QshRDmXMW0W1nh7qMMQISKJXgghyjl3x07Sjr4Ck0QvhBDlnPn/tkG8HZpdFupQRAhIohciDGV/+y2en/8IdRh+MmJseM5khTqMAsIxrnCLKfbpf+Ix6XgenBrqUPyE23GCAGLyeNA6dESv3yB4QV0kSfRChKHsb7/D+ONPiAifQWSckVaMTGeowyggHOMKt5hURgaGrmP8/FOoQ/ETbscJzhFTWip4PJhaXhrcoC6SJHohwlVsLFpUVKij8DFFRaCFaFCb4oRjXGEXk8WCputoVaqEOhI/YXecKDomlZWFZtIxjbwFGjYKQWQXTprXCSGEEOdy5jRai0vRGjW+6EGPgk0SvRBCCHEubg96YttQR3FBpOpeCCHKudN9BxAZaQ11GGWWSk5Gi4+H2nVCHcoFkUQvhBDlnLtWbYyoCAiz6+FlQoo3yZtuHoVmsYQ6mgsiiV4IIco56949mGwWqFN2moSFC5WVhalnb7TK4XUj4/mQa/RCCFHORf/nCyI2bw51GGWO8njQTGa0hOahDuWiSKIXQggh8lEeD9rRI2ht26GZy3bltyR6IYQQIh/txHG0jleg9x8Q6lAumiR6IYQQohB6z95olrLfWkESvRBCCJHXyZNQtRpER4c6khJRti88CCGEOKdTg67DLu3oA5eVienOu8tcD3hFkUQvhBDlnKdqNWlHHyCVmQnRMVCtWqhDKTFSdS+EEOVcxO+/Yv7ll1CHUSZ4/voL7cquaHr5SY9SohdCiHIu6puvMOk6NGwa6lDCmnK70SIi0Dt1DnUoJar8/GQRQgghLkZaKpaWLcpsV7dFkUQvhBBCALjdRHS7KtRRlLgiq+4NwwhoA3o5uo4hhBCiYlJOJ5rViql2LUh3hzqcElVkom/ZsmWxTQuUUmiaxq+//loqgQkhhBDBoqWlorW8FD0yEtLPhDqcElVkov/ss8+CGYcQQohSknb9cOx2aUdfFJXpQDOb0fv0DXUopaLIRF+nTp0C0wzDIDk5merVq5dqUEIIIUqOERuHknb0RUs7hdazF1pcXKgjKRUBXWA/ffo0kydPpnXr1lxzzTWAt8S/cOHCUg1OCCHExbP9vAvzzh2hDiMsqexsMAz0JuW36WFAiX7WrFlER0fz+eefY8lpdpCYmMhHH31UqsEJIYS4ePbvt2H95ttQhxGeUlLQBw5Gq1c/1JGUmoA6zPn222/58ssvsVgsvhv0KleuTEpKSqkGJ4QQQpQWpRQaoCe2DXUopSqgEn1MTAypqal+044cOUK1ctQXsBBCiApGKdB1tIiIUEdSqgJK9MOHD2fChAl89913GIbBjh07mDp1KiNHjizt+IQQQojS4fGAzRbqKEpdQFX3d911FxEREcyZMwe32820adMYMWIEt99+e2nHJ4QQQpSOzEyoFBPqKEpdQIle0zRuv/12SexCCFEGpd54M1FR0o4+Py0jHW3AwFCHUeoCHr3u22+/ZcOGDZw4cYLq1aszYMAAOncuXyP8CCFEeaSioqQdfT6+G/Fq1w11KKUuoGv0K1asYNKkScTGxtK9e3fi4uKYPHkyK1asKO34hBBCXKTIHf/F8v3/hTqM8OJyQVQ0xMeHOpJSF1CJfuXKlbzyyiskJCT4pg0ZMoTRo0czZsyYUgtOCCHExYvcud07Hn3Ly0MdSvjIzkarWrXYMV3Ki4CHnmvQoIHf63r16lWIAySEEKJ8UUqhnUqDmrVCHUpQFJnoDcPwPe6//36mTZvG/v37ycrKYt++fcyYMYMJEyYEM1YhhBDi4p08CY2boPfoGepIgiKgYWqVUgBs2LDBb9qHH37I8OHDgxCmEEIIUUIyM9Gv7IZmjwp1JEEhw9QKIYSoMJRSaLqG1izh3AuXE+c1TK0QQoiy5+QttxMVFQEuFepQQk8p0E1oJlOoIwmagNvRf/bZZ3z//fekpqb6qvIBnnrqqVIJTAghRAmxWr0Pl7SjJyMDalWMm/ByBXTX/fPPP8+sWbMwDIOPP/6YuLg4vvrqKypVqlTa8QkhhLhI9v/7DsvXX4c6jLCgZaSjNW4c6jCCKqBE/95777FixQqmTZuGxWJh2rRpLFmyhMOHD5d2fEIIIS6S7ZefsPz4Y6jDCDmlFBgKvWPF6tU1oER/+vRpX2c5FosFl8tF69at+f7770s1OCGEEKLEOLMhyo4WFxfqSIIqoGv09evXZ/fu3TRr1oxmzZrx5ptvUqlSJWJjY0s7PiGEEKJEaKmpaD16hTqMoAso0U+cOJG0tDQAJk+ezJQpU3A4HMyaNatUgxNCCCFKgrfa3sDUpGmoQwm6gBJ99+7dfc8vv/xyNm3aVGoBCSGEECUuLRW9cROoWy/UkQRdkYn+0KFDAW2gXr2Kd9CEEKIsOTn6Lm87+go6TK0yDG+zussTK+QYLUUm+j59+qBpml+b+fw0TePXX38tlcCEEEKIEpF6Ev2SluiJbUMdSUgUmeh/++23YMYhhBCilER9/SVWq4mMDl1CHUpoOJ1onbtUyNI8nMcwtUIIIcqmiD9+w/y/ilv7qinQ6tQNdRghI4leCCFEuaWcTrDbwWYLdSghI4leCCFE+XX6FNqll1bYansIMNEbhlHacQghhBAlz+2B6Io9Lss5E73H46FNmzY4nc5gxCOEEKKEKbMFLJZQhxF0Silwu9Bq1Ah1KCF1zg5zTCYTDRs2JDU1lRoV/GAJIURZlHrr3ypkO3otORmtaQJa80tCHUpIBdQz3qBBgxg3bhy33XYbNWvW9JvXuXPFGgVICCFE2aA8bky9+6CZA0p15VZA7/7NN98EYPHixX7TNU3js88+K/mohBBClJjoLZ9jsZrJ6HJVqEMJPrs91BGEXECJ/vPPPy/tOIQQQpQS6769mHQdKlCiVx4Pmq5DdEyoQwm5gJvXuVwufvjhBzZu3AiAw+HA4XCUWmBCCCHEBcvMRKtVGy0iItSRhFxAJfrff/+de+65B6vVyvHjx+nfvz/ff/89a9asYdGiRaUdoxBCCHF+PB6wR4U6irAQUIl+9uzZTJgwgY8//hhzzk0NHTp04L///W+pBieEEEJcEJcTKkm1PQRYot+zZw9DhgwB8PUuZLfbyc6uWE01hBCiLDIi7ejmitURquZ0Qh0ZRh0CTPR16tTh559/5rLLLvNN27VrF/Xr1y+1wIQQQpSMtJG3VLh29Eo3YapaNdRhhIWAEv0DDzzA3XffzciRI3G5XCxdupS33nqLxx57rLTjE0IIIc6L7477WrVDHUpYCKgup0ePHixfvpyTJ0/SoUMHkpKSVlnUugAAIABJREFUWLx4MV27di3t+IQQQlykmE2fELFxQ6jDCJ7sbKhaFc1qDXUkYSGgEv1HH31Ev379mD17tt/0jz/+mL59+5ZGXEIIIUqI5fBBbzv67qGOJDi09DNozRJCHUbYCKhE/+ijjxY6febMmSUajBBCCHGxlKHQ2ySGOoywUWyJ/tChQ4B3BKDc53nnWaVaRAghRJjRUBBTsYemzavYRN+nTx80TUMpRZ8+ffzmVa1alfvvv79UgxNCCCHOh1IKzVAQGxvqUMJGsYn+t99+A2DUqFG89tprQQlICCFEyTIqxaJVlHb0Hg9EWL133QsgwJvx8if5Q4cOoWkadevWLZWghBBClJy0YTdWnHb0GRlodaWjnLwC+skzadIktm/fDsB7773HgAEDGDhwIO+++26pBieEEEIESimFduY01KgZ6lDCSkCJ/ttvv6VVq1YArFq1ipUrV/Luu++ybNmyUg1OCCHExav00YdErFsb6jBKlfJ4ICkJrUVL9C5XhjqcsBJQ1b3L5fKNXJeWlka7du0ASE5OLtXghBBCXDzzsaPedvTllFIKjh1FT2yLPmy4b0wW4RVQom/RogVLly4lKSmJq6++GoDjx48THR1dmrEJIYQQxVJOJ5w4jt64KfpVV0uSL0RAP/GeeOIJ/vjjD7Kzs5k4cSIAO3bsYNCgQaUanBBCCFGsjHT0Vq0x3XEXWvXqoY4mLAVUoq9fvz7PPPOM37S+fftK97dCCCFCSsvMhBYtQx1GWAso0a9evbrIeTfccEOJBSOEEKLkeapURTObQh1GiVPZ2WiRdnRJ9MUKKNGvW7fO73VycjKHDh0iMTFREr0QQoS5U4OHlst29NqpNLRLWqBFRIQ6lLAWUKL/97//XWDa6tWr2bt3b4kHJIQQQpyLcrnQNB19wOBQhxL2Lri9xfXXX897771XkrEIIYQoBbEfrMFWzjo401JS0K7ojCatv84poBK9YRh+rzMzM/nggw+IiYkplaCEEEKUHFNKMno5a0evlIHpstahDqNMCCjRt2zZskDbxBo1avDYY4+VSlBCCCFEUZTHg2Y2S1e3AQoo0X/22Wd+ryMjI6lcuXKpBCSEEEIUKy0VrXFTGaEuQAEl+jp16pR2HEIIIURgnC60TleEOooyo8hEf/PNNwfUleDrr79eogEJIYQoWe6atcBSvtrRa7FxoQ6hzCgy0Q8fPjyYcQghhCglp/sNLDft6FV2trfdfJUqoQ6lzCgy0Q8dOjSYcQghhBDnlpaG1qULmql81VCUpoDuZHj88cfZvn2737Tt27fzxBNPlEpQQgghSk7ce+9ge6N8XGbV3C60ajJ4zfkIKNF/+OGHtGrVym9aq1at+PDDD0slKCGEECVHP30KPe1UqMO4aMowQNfRGjYOdShlSkCJXtM0lFJ+0zweT4GOdIQQQohSk5aGlnAJWnx8qCMpUwJK9O3bt2fRokW+xG4YBosXL6Z9+/alGpwQQgiRS8vKglaXhTqMMiegdvSPPvood999N127dqV27docPXqUatWqsWTJktKOTwghhEBlZaFZrehNmoY6lDInoERfs2ZN1qxZw65duzh69Ci1atWidevW5a7vZCGEKI9cdeuDtYzfpX7qFFqXrmgyxsp5CyjRA+i6Tps2bWjTpk1pxiOEEKKEnelzbdlvR2940OrXD3UUZVLQiuT79u1jxIgRXHvttYwYMYL9+/cHa9dCCCHKMOXxoOk6WoOGoQ6lTApaop81axY333wzn3zyCTf/f3t3Hh1Vef8P/P3cyUoSIAkQE0CBIBD2QFgKhMUECMwMkSASBYog9UttPT+KRW09UJcWsW4tHNHCQVyqRUGNkkb7BWUpLhQXjEpsJYiNJBDIQvaZyczn98fIfAnrJGTmTm7er3M8JJM7c98zE+edufM897n1VqxevdpfuyYiatc6b30Z4S88r3eMlquogBo4CCo8XO8kbZJfir6srAyHDx+GxWIBAFgsFhw+fBjl5eX+2D0RUbum1ddB1dbpHaNFpL4OqtEBbfxEvaO0WX4p+pKSEsTFxcH04ykLTSYTunXrhpKSEn/snoiI2iBxOoFTp6AyZ0NxFdUW83owXiCJjY3UO8IFunYNzJGggZiLma6sCkCHDiHQIkL1jtJERIDlOSsQcwVSJtOPM6QCKdNZl8rkLCuD1NYidMY0dJg8zr2QjZ8E2uvB1fJL0cfHx+PkyZNwOp0wmUxwOp0oLS1FfHx8i26vrKwGLpdceUM/6do1CqdOVesd4wKBmIuZvBMKoK7ODqUCZ5R0REQoagNw1HYg5gq0TKEuF0yaFlCZgIs/TiICVXoSiImF6bb5cPboiboqOwC7XzIF4uuBpqmreoPrl0P3sbGxSEpK8pwbPzc3F0lJSYiJifHH7omI2jV770Q0Xn+93jG8U3wcqlcfmG5bAtWjp95pDMFvh+4feOAB3HfffdiwYQM6duyIRx991F+7JiJq12om39Am5tGLzQbVoQO0n94GxROytRq/FX1iYiK2bdvmr90REVEbo8rLoGaYWfKtrE0OxiMiIu9Fv/Q8gkwaam/9qd5RLkmcTiiTCdoILpbW2lj0REQGpxodgCvA3yXX1ED16u3X0fXtRYA/80RE1C447ECXrnqnMCQWPRER6U45HEC3OL1jGBKLnoiI9FVaCoSEQOvRQ+8khsTP6ImIDM7WbwBCAnQ9enG5oJyNMK34Ddea9xEWPRGRwdWOTwUCdR591RmoxL4seR9i0RMRkS6cxSVQdgdU8ki9oxgai56IyOBitmxyn+t+0e16R/GQ2lponTvBtHApVESE3nEMjYPxiIjI79SZSoROmsSS9wMWPRER+ZXYGoDwcISOHqV3lHaBRU9ERH6lysqgbpgKFRamd5R2gUVPRER+I04nYDJBG8kBeP7CwXhERAbXMGgIQkL0f7kXlwsoKYYaPRYqOETvOO2G/s88ERH5VN3osVABMI9elZ6EShkFzWzVNUd7w6InIjI6ux0IVnqnAACoQUOgglg9/sRHm4jI4GJefkG3efQiAtTWQlVXASEhUHFcuMbfWPREROQ75WVQHSKgps+E1r8/VKfOeidqd1j0RETkE+J0QtXUQE3LgGn0WL3jtFucXkdERK1OnE6g+DjUT8ZDGzJU7zjtGt/RExFRqxKbDThVCi11EkwzzHrHafdY9EREBlc/fARCQ/30cl92GkoAZc2ExsP1AYFFT0RkcPXJI6H5YR691NVBBQXDdOddUB07+nRf5D1+Rk9EZHCqthaqtsb3+zlTCTVxEks+wLDoiYgMLvq1VxD+wos+3YeIQFwCLbGvT/dDzceiJyKiq2e3QUV3hoq7Ru8kdB4WPRERXRVxuYBTp6BGpOgdhS6CRU9ERFfHZoPq0hXa5Bv0TkIXwaInIqKrY2uAirsGSgXGwjnUFKfXEREZXN2oMT6bR+9etKYOGMqz3wUqFj0RkcE1DB4Kk4/m0avTp4Du3aENHNzqt02tg0VPRGRw2plKKEcIENyhVW9XamuhgkNgmv9TKI2fBAcqPjNERAbX+Y1tCH/lb612e+JyASdKoGwN0CyzeIKcAMd39ERE5DX3qnTFUCNGQpthhoqI0DsSXQGLnoiIvHfmDLSkgdDmzOUo+zaCh+6JiMhrytYADB7Ckm9DWPREROQVKSsDgkOgXXut3lGoGXjonojI4GrHTUBYaPDV3cjp01CdOsF0ywKo2C6tE4z8gkVPRGRwtv5JCGrhPHqpq4M6UwmEd4Bp0WKoTp19kJB8iUVPRGRwptOnoNWGABGdmnU9qa2Bqm+AMs+CNnAQVFSUjxKSL7HoiYgMrtOOHJg0DdWLbvf6OiICVFRAW7wUWt/rfZiOfI2D8YiI6EK1tVA9erLkDYBFT0REF1DVVVCDh+gdg1oBi56IiC6kFLShw/ROQa2ARU9ERE2I0wlAAVE8h70RcDAeEZHB1UycgrAw7+bRS20tVGUl1LjxXJHOIFj0REQGZ0/si2Av59GrM5VQmbNhGjXaD8nIH1j0REQGF1RSDC08BOh8+TPaSW0tVFgYtKSBfkpG/sDjMkREBtfx3b8j7K23rrxhZQW0OTdDRUb6PhT5DYueiIggTidUSChU/wF6R6FWxqInIiKgugqqZ08uP2tALHoionZOnE6gshIYNFjvKOQDHIxHRNSOia0BOHUK2vhUaEOH6x2HfIBFT0RkcNVp0xAeft48+opyiM0GFRkJNX0mtNSJPGxvUCx6IiKDc1x7HULOm0cvdjuCFi0BevdhwRsci56IyOCC//s9TOHBkC7xQF2d+6Q40TFA9x4s+XaARU9EZHBR7/0vTC4n1MxZQGwXKLMFWnIKVGio3tHID1j0RERGJ+6R9abFS4Fevfkuvp3h9DoiIgMTEcBhhwoLZ8m3U3xHT0RkUOJwACdKoMLCYOrWlSXfTvEdPRGRUVWdgTZyFHBNPFRIiN5pSCd8R09EZEQVFVBOJ9Sgwah5eC1iYiL0TkQ6YdETERmMOJ1AfR2Clv4P1HW94ASArlHAqWq9o5EOWPRERG2YiADlZVA2O0TToCBQSoNKGQX0vBYAELx3N9C5AzBsjM5pSQ8seiKituxMJVTnaKjxE2CKjgE6RwNRUVAmk2eTDk89BgSbgG07dAxKemHRExG1QVJfD1VZAaVpMN2aCXVdL70jUYBi0RMRtTFis7lPYzt9BrSkQVAxMXpHogDGoiciaiNEBKiqch+uv3EOTGPG6h2J2gAWPRFRG6FOngDiE6BZM6GSBuodh9oIFj0RUYBzj6wvhwoLh2nBIqjIyGZdv+bxP3MefTvGoiciCmDidAIlxdD6JEIzW5td8gDg7Hs959G3Yyx6IqIAJY2NwIkSaKmToE2f0eJz1Yf84x2gUzgwdnLrBqQ2gUVPRBRAxOUCaqqhamuhlIKaNBla2rSrWpAm/Jn1P86jn9x6QanNYNETEQUIqa6GqjoD1ScRmDQIWr8BnDpHV41FT0TkZ+JyAQ47YLMBNhuUoxGiKaiQUGgLFkEbkKR3RDIQFj0RkR+I0wmcPAGlaVAA0KkzVHwC0LUbkNAdpoTuQGwslMbVw6l1seiJiFqZ1DdAytwLzUDTIApQLhfUsGRoU6cBkU3PRU/kSyx6IqJWJGfOwGUSaEOHAV3joKKjoTp2BDp1Bjp0uKpBdS1V/fRGxMY2f1oeGQOLnojoKkljo3ukfH09FIDIu/8fGjvF6R3Lw9W9B+fRt2MseiKiqyANDVBlZe5T0l5/PbTuPRGUmAicrtE7mkdozutAx3Dghpl6RyEdsOiJiFpIGhqgKsqhZd8CbfBQz+V6HJ6/nLDnN7vn0bPo2yUO7yQiagFxudznn5+Q2qTkiQIN39ETEZ1HnE7A4QDsNsBuh3I4ACiIAqAUlEugNAXExrLkKeCx6Imo3ZP6eqjKCojSoCDuuexn57nHdgFiYqE6doSKiAAiIoGIDkC4PiPoiZqLRU9E7ZrUVEPVN0CZZ8HUqzcQFckSJ0Nh0RNRuyAiQGOj+5C8wwE0nv230X3a2aSBekf0marNL6FLl0hA9E5CemDRE5FhiAjQ0ADU10PZGiBKA86elQ4K6NABiIqC6toN6NQJ6NQJ6pp4w59bXmJjgS6cR99eseiJyBBEBKqk2H2++AEDgO49YeraFejcGQgPB8LC2+155EO3vgxEhQHmOXpHIR2w6ImozROHA6r0JNC7D0w/XQwVHKx3pIAStvVl9zx6Fn27xKInojZJXC7Aboez4jSU3Qk1aQq01EkseaLzsOiJKGCJywVUVEDZGtyrwEG5P3MXcX/m3jEKYRnT4eg7yL1wDBFdgEVPRAFJqquBqjPQBg4C+l4PFRnlnsfeIcI9j/3Hz9zDu0ahhoPMiC6JRU9EfiUigMsFXOxfcblHzdvsUB2joC39H2i9eusdmahNY9ETBarTpyBnKvVO4dEYFgw0OAClgB8PoQNwH04HPN9D4Dm83oRL/u9qQcGAyQQEB/34bzBgCnJ/vt6rD9TQYVC9ekOFhPjjrhnemVe2o2vXKKDWqXcU0gGLnigAhc2cgbr+g/WO0UREbBQcVTYgyARoJndBm0xQpv/7GpoGmIIA0/n/mjxft9cpbrrq0MH9Xy0/4miPWPREAShkwACYYrvrHaOJ0K5R0PhZeJsU9twm9zz6uQv1jkI64J/WREQGF/r2m8Brr+kdg3TCoiciIjIwFj0REZGBseiJiIgMrE0OxtO0wFsnOhAzAYGZi5m8w0zeC8RcAZXpmmuAYFNgZfoRM13Z1eZRIudPdiUiIiKj4KF7IiIiA2PRExERGRiLnoiIyMBY9ERERAbGoiciIjIwFj0REZGBseiJiIgMjEVPRERkYCx6IiIiA2PRExERGRiLnoiIyMBY9ERERAYW8EVfX1+P5cuXY+rUqcjIyMDu3bsvut2BAwcwbNgwZGZmIjMzE3PnztU901k2mw1msxlZWVm6ZyooKMDs2bORmZkJs9mMVatWwW63655r165dyMrKgsVigdlsxnPPPad7ppMnT2LhwoUYOXKkT5677777DvPmzcP06dMxb948HDt27IJtnE4nHnzwQaSnp2Pq1KnYtm1bq+dobqb9+/cjKysLgwcPxqOPPurTPM3J9fTTT8NsNsNqtSIrKwv//Oc/dc/0+uuvw2q1IjMzE1arFS+++KLumc46evQohg0b5vPn0JtM69evx09+8hPP6/eDDz6oeyYAyMvLg9VqhcVigdVqxenTp3XPdc8993gep8zMTAwYMADvvffe5W9YAtz69evl/vvvFxGR7777TsaNGyc1NTUXbPfxxx/L7NmzAyrTWY888oj85je/8Wk+bzPV19eLzWYTERGn0ym//OUv5YUXXtA916FDh+TEiRMiIlJVVSXp6ely8OBBXTNVVVXJwYMHZffu3T557hYuXCg5OTkiIpKTkyMLFy68YJs333xTlixZIk6nU8rKyiQ1NVWKiopaPUtzMh07dkwOHz4sTz75pKxdu9ZnWZqba9++fVJXVyciIgUFBTJy5Eipr6/XNVN1dbW4XC7P15MnT5aCggJdM4mINDY2yoIFC2TFihU+fw69ybRu3Tq//S55myk/P19mzJghpaWlIuJ+PWhoaNA917kKCgpk9OjRntf0Swn4d/TvvPMO5s2bBwDo1asXBg8ejH379rWZTJ988gmOHTuGzMzMgMgUFhaGkJAQAEBjYyMaGhqgab77NfA217BhwxAXFwcAiIqKQmJiIo4fP65rpqioKKSkpCA8PLzVM5SVleHw4cOwWCwAAIvFgsOHD6O8vLzJdnl5eZg7dy40TUNMTAzS09Px7rvvtnqe5mS67rrrkJSUhKCgIJ/kaGmu1NRUz3PVv39/iAgqKyt1zRQZGQml3GuJNzQ0wOFweL7XKxMAbNy4EZMnT0avXr18kqUlmfzF20zPP/88lixZgq5duwJwvx6Ehobqnutc27dvh9Vq9bymX0rAF31xcTG6d+/u+T4+Ph4nTpy46LbHjh3D7NmzMXfuXLz55pu6Z6qrq8OaNWt8fhiqOZkA9yHpzMxMjBkzBhEREbj55psDItdZhYWFOHToEMaOHRswmVpbSUkJ4uLiYDKZAAAmkwndunVDSUnJBdslJCT4Jau3mfytJblycnJw7bXX4pprrtE903vvvQez2YwpU6Zg6dKl6N+/v66ZvvnmG+zfvx+33XabT3K0JBMA/P3vf4fVasWSJUvw+eef656psLAQRUVFmD9/PmbPno0NGzZARHTPdZbdbseOHTswZ86cK962f/4kv4zZs2ejuLj4oj/78MMPvb6dQYMGYe/evYiKikJRUREWL16MuLg4jBs3TrdMf/zjH3HrrbciLi7usp+V+TMTAMTFxeGtt95CXV0dVq5ciZ07d8JsNuueCwBKS0tx55134ne/+53nHb7emaht+de//oU///nPPh3n0RxpaWlIS0tDcXExfvGLX2DixIno06ePLlkcDgdWrVqFRx55xFMogSA7OxvLli1DcHAwPvjgA9x5553Iy8tDdHS0bpmcTif+/e9/Y8uWLbDb7Vi6dCkSEhJw44036pbpXLt27UJCQgKSkpKuuK3uRX+ld94JCQk4fvw4YmJiALj/6hkzZswF20VGRnq+7tmzJ9LT0/HZZ5+1qOhbK9Onn36Kffv2YcOGDbDZbDhz5gysVit27NihW6ZzdejQATNnzsSOHTtaXPStmausrAyLFy/G0qVLMWPGjBblae1MvhIfH4+TJ0/C6XTCZDLB6XSitLQU8fHxF2xXXFyMoUOHerKe+w5fj0z+1pxcn3/+OVauXIkNGzb4tExb8lglJCRgyJAh2LNnj0+yeZPp1KlT+O9//4s77rgDAFBVVQURQU1NDR5++GFdMgHwHB4HgPHjxyM+Ph7ffvstRo8erVumhIQEZGRkICQkBCEhIUhLS0N+fr7Pir65v1Ovv/66V+/mgTZw6D4jIwOvvvoqAPeh+S+//BKpqakXbFdaWuo5rFJZWYkPPvgAAwYM0DXTjh078P777+P999/Hk08+iX79+rWo5FszU1FRkWeUvd1ux3vvvYd+/fr5JFNzclVUVGDx4sWYP3++T2dMNCeTL8XGxiIpKQm5ubkAgNzcXCQlJXn++Dg367Zt2+ByuVBeXo5du3Zh+vTpumbyN29z5efn41e/+hXWrVuHQYMGBUSmwsJCz9fl5eU4cOCAz/5/8yZTQkICDhw44HldWrRoEW6++WaflLy3mQD3x4lnFRQU4Pjx4+jdu7eumSwWC/bv3w8RgcPhwMcff+yzTmlOLgA4ceIEPv30U1itVu9uvDVGCvpSbW2t3HXXXZKeni7Tpk2TnTt3en72pz/9SV555RUREXnppZdk5syZMmvWLDGbzbJp0ybdM53L17MCvM2Uk5MjFotFrFarmM1meeCBB3w6MtnbXGvXrpUhQ4bIrFmzPP9t375d10yNjY2SmpoqY8aMkUGDBklqaqqsW7eu1XIcOXJEbrrpJpk2bZrcdNNNUlhYKCIiS5culfz8fE+G1atXS1pamqSlpcnWrVtbbf8tzXTw4EFJTU2V5ORkGT58uKSmpsq+fft0z5WVlSVjxoxp8jv0zTff6JrpD3/4g+d1yWq1yosvvuizPN5mOpc/Rrt7k+mee+4Rs9ksVqtVsrKyZM+ePbpncjqdsmbNGsnIyJCZM2fKmjVrxOl06p5LRGTDhg2yfPlyr29XifhwdAERERHpKuAP3RMREVHLseiJiIgMjEVPRERkYCx6IiIiA2PRExERGRiLntqlZ599Fvfffz8A4IcffkD//v3R2NgIAFi4cKHPV4lryz799FNMmzYNycnJ2LVrF06fPo358+cjOTkZa9eubfLYXs7q1avx9NNP+yHx1enfvz++//57vWMQtZjuZ8Yj0sOyZcv0jnCBG264Ab///e89Z3P84YcfkJaWhq+//tpvC8h4Y926dZg/fz4WLVoEwL08bHR0ND777LNmLdjy0EMPtUqeAwcOYOXKlbovdkUUqPiOnoiapbi4GNdff32T7xMTE322KhsRXR0WPRnaxo0bkZqaiuTkZEyfPh0fffQRAGD9+vX49a9/fcnrHT9+HNnZ2UhOTsaSJUuaLBV5djWylJQULFy4sMlpTs8/zHvffffhqaee8ny/e/duZGZmIiUlBdnZ2fjmm28AACtXrkRxcTGWLVuG5ORkbNq0CQsWLAAAjBo1CsnJyZ4VvbZv344ZM2Zg1KhRuP322y+7nO8nn3yC7OxspKSkYNKkSXjjjTcAANXV1bjnnnswduxYTJkyBRs2bIDL5fJc71L7SE9PR1FRkSfnihUrkJOTg82bNyM5ORkffvjhBY/tpTJ4+9gA7qMdmzdvhtVqxciRI7F8+XLYbDbU1dXhZz/7GUpLS5GcnIzk5OQmp1MFgC+++ALjx4+H0+n0XLZz507P6UPz8/Mxb948pKSkYMKECXjooYc8p4k+3/kf67zxxhu45ZZbPN8XFhZi8eLFGD16NKZPn468vDzPz/bu3YuZM2ciOTkZqamp2Lx58yWfN6JW1cpn8CMKGIWFhTJx4kQ5ceKEiIgUFRXJ999/LyLuU3/efffdnsv79esnDodDREQWLFggaWlpcvToUamvr5cFCxbIY489JiIiR48elWHDhsn+/fvFbrfLxo0bJT09XWw2m4iI9OvXT44dO+bJcO+998qTTz4pIiJff/21jB07Vg4dOiSNjY3yxhtvyJQpUzzXnTJlinzwwQee656fS0Rk586dkp6eLkeOHBGHwyFPP/20zJs376L3/4cffpDhw4fLjh07xG63S3l5uRw+fFhERFauXCnLli2T6upqKSoqkmnTpslrr73m1T7Oz3nufTz/sb1chuY+NnPmzJETJ05IRUWFZGRkeE5V/PHHH0tqauqlfg1ERCQtLU3279/v+f6uu+6Sv/zlLyIi8uWXX8rnn38uDodDioqKJCMjQ7Zs2eLZ9tzndMGCBZ7HSUTk9ddfl+zsbBFxn1p54sSJsn37dnE4HPL111/L6NGj5dtvvxURkfHjx8vBgwdFRKSyslK++uqry2Ymai18R0+GZTKZYLfbUVhYCIfDgR49euDaa6/16rpZWVno3bs3wsLCkJGRgYKCAgBAXl4eJk2ahPHjxyM4OBi33347GhoavFo/+9VXX8W8efMwbNgwmEwmzJ49G8HBwTh06JDX92nr1q244447kJiYiKCgICxbtsyzCMj5cnNzMW7cOFgsFgQHByM6OhpJSUlwOp3Iy8vD3XffjcjISPTo0QOLFy/G22+/3ex9XMmlMrTksVm4cCHi4uLQuXNnTJkyxfOceMNsNnsWC6mpqcG+ffs8KzYOHjwYw4cPR1BQEHr06IF58+bh4MGDzb6ve/bsQffu3TFnzhwEBQVh4MCBmD59Ot59910AQFBQEI4cOYKamhp06tTJ5wvvEJ0VOCPZIGqlAAAEg0lEQVR8iFrZddddh9/+9rdYv349jhw5ggkTJuC+++7zap37c5fNDA8PR11dHQD3KonnLhOraZpneckrKS4uRk5ODv761796LnM4HCgtLfX6PhUXF2PNmjV49NFHPZeJCE6ePInu3bs32bakpOSif9hUVFTA4XA0uR8JCQme+9CcfVzJpTJc7H5d6bE5/zlpzuNmtVqRnZ2NBx98EDt37sTAgQM99+W7777D2rVr8dVXX6G+vh5Op7NFJXz8+HHk5+cjJSXFc5nT6cSsWbMAuAcxPvPMM3jiiSfQv39/3H333UhOTm72foiai0VPhma1WmG1WlFTU4PVq1fj8ccfx2OPPdbi2+vWrRv+85//eL4XEZSUlHj+eAgPD0d9fb3n56dOnfL8LD4+HsuWLcPPf/5zr/Z1scFtZ2/jbHlcTnx8PPLz8y+4PDo6GsHBwSguLkbfvn0BoMl9aM4+WprhYts157E5lzeDAPv27YuEhATs27cPubm5sFgsnp898MADGDhwIJ544glERkbi+eefxz/+8Y+L3s75z+/p06eb3IdRo0Zhy5YtF73u0KFD8cwzz8DhcODll1/G8uXLsXfvXm/vJlGL8dA9GdbRo0fx0UcfwW63IyQkBKGhodC0q/uVnzFjBvbu3YuPPvoIDocDzz33HEJCQjzvzAYMGIDc3Fw4nU7s27evySHguXPnYuvWrfjiiy8gIqirq8OePXtQU1MDAOjSpQuKioo828fExEDTtCaXZWdnY+PGjfj2228BuAfVvfPOOxfNarVa8eGHHyIvLw+NjY2oqKhAQUEBTCYTMjIy8NRTT6GmpgbHjx/Hli1bPMXenH1cyaUynO9Kj83lxMbGorKyEtXV1ZfdzmKx4IUXXsDBgweRkZHhuby2thYRERGIiIhAYWEh/va3v13yNpKSkrBz507U19fj+++/x/bt2z0/mzx5Mo4dO4acnBw4HA44HA7k5+ejsLAQdrsdb7/9NqqrqxEcHIyIiIir/l0k8hZ/08iw7HY7nnjiCYwZMwYTJkxAeXk5VqxYcVW32adPHzz22GN4+OGHMXbsWOzevRvPPvssQkJCAAD3338/du/ejZSUFOzYsQPp6eme6w4ZMgQPP/wwHnroIYwaNQrTpk3zjEAHgDvuuAPPPPMMUlJSsHnzZoSHh2PZsmW45ZZbkJKSgkOHDmHq1KlYunQpVqxYgREjRsBisVxy/nhCQgI2bdqELVu2YPTo0bjxxhs9I9lXrVqF8PBwpKen49Zbb4XFYsGcOXMAoFn7uJLLZTjXlR6by0lMTITZbEZ6ejpSUlIu+TGKxWLBwYMHMXbsWMTExHguv/fee5Gbm4sRI0Zg1apVmDlz5iX3tWjRIgQHB2PcuHG49957PSP3ASAyMhKbN29GXl4eUlNTMWHCBDz++OOeEfxvvfUWbrjhBowYMQJbt269qiNLRM3B9eiJiIgMjO/oiYiIDIxFT0REZGAseiIiIgNj0RMRERkYi56IiMjAWPREREQGxqInIiIyMBY9ERGRgbHoiYiIDOz/AwDqFWINgco8AAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The visualizer yields some interesting findings.\n",
        "\n",
        "* There is always one big group. This big group comprises observations with positive silhouette scores.\n",
        "* The smaller groups are largely composed of entries with negative silhouette scores.\n",
        "* Groups 0 and 1 in the k=3 model have just as many negative silhouette scores as positive ones. What's more, the worst (most negative) values in group 0 are greater in magnitude than the best (most positive) ones.\n",
        "* The model which appears to have the fewest negative observations is k=8. Over 50% of records in each cluster have a positive silhouette score.\n",
        "* The number of records in each of the smaller clusters varies. (See bar widths.)"
      ],
      "metadata": {
        "id": "fmBuffo6435k"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "scores[3-2]-scores[8-2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SXzPf3-YFw3A",
        "outputId": "4af23430-6390-47c9-dfd2-ee98fdab97ef"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.06165654778343571"
            ]
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Despite its slightly higher silhouette score, k=3 appears to be the weaker choice: The largest cluster's separation from the others is inflating the silhouette score, like skewed data biasing a mean higher than the median. What's more, the difference between scores for k=3 and k=8 is only 0.0617.\n",
        "\n",
        "From the silhouette visualizer, we see that the best separation is achieved at k=8 clusters. Many of the clusters boast only records with positive silhouette scores, and negative scores do not comprise the majority of any cluster. We will further investigate k=8."
      ],
      "metadata": {
        "id": "uLQfoQ8f1Zvl"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### k=8"
      ],
      "metadata": {
        "id": "Z6-OYJuv3Mea"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# kmeans model\n",
        "km=KMeans(n_clusters=8,\n",
        "          n_init=10,\n",
        "          random_state=1)\n",
        "km.fit(attr)\n",
        "km_group=km.predict(attr)\n",
        "data['km_group']=km_group"
      ],
      "metadata": {
        "id": "sY3ie42cF0hB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# boxplots of groups\n",
        "for col in attr.columns:\n",
        "  plt.figure(figsize=(16,5))\n",
        "  plt.suptitle(str(col)+' by Cluster',fontsize=20)\n",
        "  plt.subplot(1,2,1)\n",
        "  plt.title('with outliers')\n",
        "  sns.boxplot(data=data,\n",
        "              x='km_group',\n",
        "              y=col,\n",
        "              showfliers=True)\n",
        "  plt.xlabel('Cluster')\n",
        "\n",
        "  plt.subplot(1,2,2)\n",
        "  plt.title('outliers removed')\n",
        "  sns.boxplot(data=data,\n",
        "              x='km_group',\n",
        "              y=col,\n",
        "              showfliers=False)\n",
        "  plt.xlabel('Cluster')\n",
        "  \n",
        "  plt.show()\n",
        "  print('')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "eQTyrnYqGIjT",
        "outputId": "b66146d3-0a32-4d78-c73c-77912d5a43c2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1152x360 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data.groupby('km_group').mean()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 430
        },
        "id": "YPPeJtG68Q0Z",
        "outputId": "6d5d31a9-c3ef-4440-fe32-3c134b25d179"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "          Current Price  Price Change  Volatility         ROE  Cash Ratio  \\\n",
              "km_group                                                                    \n",
              "0             80.152167     14.571437    1.829679   28.100000  321.850000   \n",
              "1            508.534992      5.732177    1.504640   27.250000  150.875000   \n",
              "2             71.100057      4.970680    1.372796   24.988636   51.087121   \n",
              "3             34.231808    -15.515565    2.832069   48.037037   47.740741   \n",
              "4            108.304002     10.737770    1.165694  566.200000   26.600000   \n",
              "5             50.517273      5.747586    1.130399   31.090909   75.909091   \n",
              "6             24.485001    -13.351992    3.482611  802.000000   51.000000   \n",
              "7            327.006671     21.917380    2.029752    4.000000  106.000000   \n",
              "\n",
              "          Net Cash Flow    Net Income  Earnings Per Share  \\\n",
              "km_group                                                    \n",
              "0          6.259290e+08  9.420505e+08            2.010500   \n",
              "1          3.789588e+07  1.116994e+09           15.965000   \n",
              "2          8.793073e+07  1.579776e+09            3.688466   \n",
              "3         -1.286515e+08 -2.444319e+09           -6.284444   \n",
              "4         -2.787600e+08  6.871800e+08            1.548000   \n",
              "5         -1.072273e+09  1.483309e+10            4.154545   \n",
              "6         -1.292500e+09 -1.910650e+10          -41.815000   \n",
              "7          6.982407e+08  2.875470e+08            0.750000   \n",
              "\n",
              "          Estimated Shares Outstanding   P/E Ratio  P/B Ratio  \n",
              "km_group                                                       \n",
              "0                         7.904563e+08   45.067457   8.307945  \n",
              "1                         7.565442e+07   43.727459  29.581664  \n",
              "2                         4.356775e+08   23.232454  -3.350613  \n",
              "3                         5.030315e+08   75.627265   1.655990  \n",
              "4                         3.496071e+08   34.898915 -16.851358  \n",
              "5                         4.298827e+09   14.803577  -4.552119  \n",
              "6                         5.195740e+08   60.748608   1.565141  \n",
              "7                         3.667632e+08  400.989188  -5.322376  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-8af22176-af60-4a99-a9b4-0650e38cb463\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "\n",
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Current Price</th>\n",
              "      <th>Price Change</th>\n",
              "      <th>Volatility</th>\n",
              "      <th>ROE</th>\n",
              "      <th>Cash Ratio</th>\n",
              "      <th>Net Cash Flow</th>\n",
              "      <th>Net Income</th>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <th>P/E Ratio</th>\n",
              "      <th>P/B Ratio</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>km_group</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>80.152167</td>\n",
              "      <td>14.571437</td>\n",
              "      <td>1.829679</td>\n",
              "      <td>28.100000</td>\n",
              "      <td>321.850000</td>\n",
              "      <td>6.259290e+08</td>\n",
              "      <td>9.420505e+08</td>\n",
              "      <td>2.010500</td>\n",
              "      <td>7.904563e+08</td>\n",
              "      <td>45.067457</td>\n",
              "      <td>8.307945</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>508.534992</td>\n",
              "      <td>5.732177</td>\n",
              "      <td>1.504640</td>\n",
              "      <td>27.250000</td>\n",
              "      <td>150.875000</td>\n",
              "      <td>3.789588e+07</td>\n",
              "      <td>1.116994e+09</td>\n",
              "      <td>15.965000</td>\n",
              "      <td>7.565442e+07</td>\n",
              "      <td>43.727459</td>\n",
              "      <td>29.581664</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>71.100057</td>\n",
              "      <td>4.970680</td>\n",
              "      <td>1.372796</td>\n",
              "      <td>24.988636</td>\n",
              "      <td>51.087121</td>\n",
              "      <td>8.793073e+07</td>\n",
              "      <td>1.579776e+09</td>\n",
              "      <td>3.688466</td>\n",
              "      <td>4.356775e+08</td>\n",
              "      <td>23.232454</td>\n",
              "      <td>-3.350613</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>34.231808</td>\n",
              "      <td>-15.515565</td>\n",
              "      <td>2.832069</td>\n",
              "      <td>48.037037</td>\n",
              "      <td>47.740741</td>\n",
              "      <td>-1.286515e+08</td>\n",
              "      <td>-2.444319e+09</td>\n",
              "      <td>-6.284444</td>\n",
              "      <td>5.030315e+08</td>\n",
              "      <td>75.627265</td>\n",
              "      <td>1.655990</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>108.304002</td>\n",
              "      <td>10.737770</td>\n",
              "      <td>1.165694</td>\n",
              "      <td>566.200000</td>\n",
              "      <td>26.600000</td>\n",
              "      <td>-2.787600e+08</td>\n",
              "      <td>6.871800e+08</td>\n",
              "      <td>1.548000</td>\n",
              "      <td>3.496071e+08</td>\n",
              "      <td>34.898915</td>\n",
              "      <td>-16.851358</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>50.517273</td>\n",
              "      <td>5.747586</td>\n",
              "      <td>1.130399</td>\n",
              "      <td>31.090909</td>\n",
              "      <td>75.909091</td>\n",
              "      <td>-1.072273e+09</td>\n",
              "      <td>1.483309e+10</td>\n",
              "      <td>4.154545</td>\n",
              "      <td>4.298827e+09</td>\n",
              "      <td>14.803577</td>\n",
              "      <td>-4.552119</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>24.485001</td>\n",
              "      <td>-13.351992</td>\n",
              "      <td>3.482611</td>\n",
              "      <td>802.000000</td>\n",
              "      <td>51.000000</td>\n",
              "      <td>-1.292500e+09</td>\n",
              "      <td>-1.910650e+10</td>\n",
              "      <td>-41.815000</td>\n",
              "      <td>5.195740e+08</td>\n",
              "      <td>60.748608</td>\n",
              "      <td>1.565141</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>327.006671</td>\n",
              "      <td>21.917380</td>\n",
              "      <td>2.029752</td>\n",
              "      <td>4.000000</td>\n",
              "      <td>106.000000</td>\n",
              "      <td>6.982407e+08</td>\n",
              "      <td>2.875470e+08</td>\n",
              "      <td>0.750000</td>\n",
              "      <td>3.667632e+08</td>\n",
              "      <td>400.989188</td>\n",
              "      <td>-5.322376</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Cluster Analysis"
      ],
      "metadata": {
        "id": "X-b5Af9XDGUC"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "There's a lot to absorb here, but let's start by highlighting group 5. \n",
        "\n",
        "* The current stock prices for securities in group 5 are comparable to some other groups, but are generally on the lower end.\n",
        "* Price change is low but positive, with a narrow spread in variability. Low volatility means that this group contains fairly consistent securities.\n",
        "* Net cash flow is more variable here than in any other group. Perhaps this is biased by several negative records. Do note that there is also a highly positive record, but this is so far outside the spread of the data that it is represented as a singular dot above the upper fence of the boxplot.\n",
        "* Net income of group 5 securities is higher than any other group!\n",
        "* This group has the second-highest mean earnings per share, being outperformed by group 1.\n",
        "* Very noticeably, group 5 has more shares outstanding than any other.\n",
        "* Group 5 also has some of the lowest P/E ratios, indicating that the stock price is not inflated relative to the company's performance. (Note that this group has the lowest mean P/E ratio.)\n",
        "\n",
        "Let's take a closer look at the securities comprising group 5."
      ],
      "metadata": {
        "id": "1MXmJiYY3f0N"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==5')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 649
        },
        "id": "xTKQL0jvGT-X",
        "outputId": "00993cb7-f895-4c1f-e782-29993e91111c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                Security                  GICS Sector  \\\n",
              "52              C          Citigroup Inc.                   Financials   \n",
              "123             F              Ford Motor       Consumer Discretionary   \n",
              "140          GILD         Gilead Sciences                  Health Care   \n",
              "167          INTC             Intel Corp.       Information Technology   \n",
              "177           JPM    JPMorgan Chase & Co.                   Financials   \n",
              "181            KO       Coca Cola Company             Consumer Staples   \n",
              "246           PFE             Pfizer Inc.                  Health Care   \n",
              "287             T                AT&T Inc  Telecommunications Services   \n",
              "317            VZ  Verizon Communications  Telecommunications Services   \n",
              "320           WFC             Wells Fargo                   Financials   \n",
              "331           XOM       Exxon Mobil Corp.                       Energy   \n",
              "\n",
              "                          GICS Sub Industry  Current Price  Price Change  \\\n",
              "52                                    Banks      51.750000      4.714695   \n",
              "123                Automobile Manufacturers      14.090000      2.398256   \n",
              "140                           Biotechnology     101.190002      2.689264   \n",
              "167                          Semiconductors      34.450001     14.035095   \n",
              "177                                   Banks      66.029999      8.033377   \n",
              "181                             Soft Drinks      42.959999      6.812526   \n",
              "246                         Pharmaceuticals      32.279999      3.130991   \n",
              "287  Integrated Telecommunications Services      34.410000      5.942118   \n",
              "317  Integrated Telecommunications Services      46.220001      6.277303   \n",
              "320                                   Banks      54.360001      5.532912   \n",
              "331                    Integrated Oil & Gas      77.949997      3.656915   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "52     1.261984    8          99   -11208000000  17242000000   \n",
              "123    1.151454   26          43     3515000000   7373000000   \n",
              "140    1.494060   98         148     2824000000  18108000000   \n",
              "167    1.226022   19         162    12747000000  11420000000   \n",
              "177    1.130337   10          99    -7341000000  24442000000   \n",
              "181    0.889913   29          74    -1649000000   7351000000   \n",
              "246    1.238748   11          79      298000000   6960000000   \n",
              "287    0.859442   11          11    -3482000000  13345000000   \n",
              "317    0.842592  109          14    -6128000000  17879000000   \n",
              "320    0.969774   12          99     -460000000  22894000000   \n",
              "331    1.370062    9           7     -911000000  16150000000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "52                 5.41                  3.187061e+09   9.565619  -1.167533   \n",
              "123                1.86                  3.963978e+09   7.575269   5.108756   \n",
              "140               12.37                  1.463864e+09   8.180275   3.159446   \n",
              "167                2.41                  4.738589e+09  14.294606   3.954975   \n",
              "177                6.05                  4.040000e+09  10.914049  -1.886881   \n",
              "181                1.69                  4.349704e+09  25.420118  -1.466307   \n",
              "246                1.13                  6.159292e+09  28.566371  -4.213309   \n",
              "287                2.37                  5.630802e+09  14.518987 -23.537323   \n",
              "317                4.38                  4.081963e+09  10.552512 -26.380687   \n",
              "320                4.18                  5.477033e+09  13.004785  -0.938007   \n",
              "331                3.85                  4.194805e+09  20.246752  -2.706443   \n",
              "\n",
              "     km_group  \n",
              "52          5  \n",
              "123         5  \n",
              "140         5  \n",
              "167         5  \n",
              "177         5  \n",
              "181         5  \n",
              "246         5  \n",
              "287         5  \n",
              "317         5  \n",
              "320         5  \n",
              "331         5  "
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              "      <th></th>\n",
              "      <th>Ticker Symbol</th>\n",
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              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
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              "  <tbody>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>C</td>\n",
              "      <td>Citigroup Inc.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>51.750000</td>\n",
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              "      <td>9.565619</td>\n",
              "      <td>-1.167533</td>\n",
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              "    <tr>\n",
              "      <th>123</th>\n",
              "      <td>F</td>\n",
              "      <td>Ford Motor</td>\n",
              "      <td>Consumer Discretionary</td>\n",
              "      <td>Automobile Manufacturers</td>\n",
              "      <td>14.090000</td>\n",
              "      <td>2.398256</td>\n",
              "      <td>1.151454</td>\n",
              "      <td>26</td>\n",
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              "      <td>3515000000</td>\n",
              "      <td>7373000000</td>\n",
              "      <td>1.86</td>\n",
              "      <td>3.963978e+09</td>\n",
              "      <td>7.575269</td>\n",
              "      <td>5.108756</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>140</th>\n",
              "      <td>GILD</td>\n",
              "      <td>Gilead Sciences</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Biotechnology</td>\n",
              "      <td>101.190002</td>\n",
              "      <td>2.689264</td>\n",
              "      <td>1.494060</td>\n",
              "      <td>98</td>\n",
              "      <td>148</td>\n",
              "      <td>2824000000</td>\n",
              "      <td>18108000000</td>\n",
              "      <td>12.37</td>\n",
              "      <td>1.463864e+09</td>\n",
              "      <td>8.180275</td>\n",
              "      <td>3.159446</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>167</th>\n",
              "      <td>INTC</td>\n",
              "      <td>Intel Corp.</td>\n",
              "      <td>Information Technology</td>\n",
              "      <td>Semiconductors</td>\n",
              "      <td>34.450001</td>\n",
              "      <td>14.035095</td>\n",
              "      <td>1.226022</td>\n",
              "      <td>19</td>\n",
              "      <td>162</td>\n",
              "      <td>12747000000</td>\n",
              "      <td>11420000000</td>\n",
              "      <td>2.41</td>\n",
              "      <td>4.738589e+09</td>\n",
              "      <td>14.294606</td>\n",
              "      <td>3.954975</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>177</th>\n",
              "      <td>JPM</td>\n",
              "      <td>JPMorgan Chase &amp; Co.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>66.029999</td>\n",
              "      <td>8.033377</td>\n",
              "      <td>1.130337</td>\n",
              "      <td>10</td>\n",
              "      <td>99</td>\n",
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              "      <td>6.05</td>\n",
              "      <td>4.040000e+09</td>\n",
              "      <td>10.914049</td>\n",
              "      <td>-1.886881</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>181</th>\n",
              "      <td>KO</td>\n",
              "      <td>Coca Cola Company</td>\n",
              "      <td>Consumer Staples</td>\n",
              "      <td>Soft Drinks</td>\n",
              "      <td>42.959999</td>\n",
              "      <td>6.812526</td>\n",
              "      <td>0.889913</td>\n",
              "      <td>29</td>\n",
              "      <td>74</td>\n",
              "      <td>-1649000000</td>\n",
              "      <td>7351000000</td>\n",
              "      <td>1.69</td>\n",
              "      <td>4.349704e+09</td>\n",
              "      <td>25.420118</td>\n",
              "      <td>-1.466307</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>246</th>\n",
              "      <td>PFE</td>\n",
              "      <td>Pfizer Inc.</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Pharmaceuticals</td>\n",
              "      <td>32.279999</td>\n",
              "      <td>3.130991</td>\n",
              "      <td>1.238748</td>\n",
              "      <td>11</td>\n",
              "      <td>79</td>\n",
              "      <td>298000000</td>\n",
              "      <td>6960000000</td>\n",
              "      <td>1.13</td>\n",
              "      <td>6.159292e+09</td>\n",
              "      <td>28.566371</td>\n",
              "      <td>-4.213309</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>287</th>\n",
              "      <td>T</td>\n",
              "      <td>AT&amp;T Inc</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>34.410000</td>\n",
              "      <td>5.942118</td>\n",
              "      <td>0.859442</td>\n",
              "      <td>11</td>\n",
              "      <td>11</td>\n",
              "      <td>-3482000000</td>\n",
              "      <td>13345000000</td>\n",
              "      <td>2.37</td>\n",
              "      <td>5.630802e+09</td>\n",
              "      <td>14.518987</td>\n",
              "      <td>-23.537323</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>317</th>\n",
              "      <td>VZ</td>\n",
              "      <td>Verizon Communications</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>46.220001</td>\n",
              "      <td>6.277303</td>\n",
              "      <td>0.842592</td>\n",
              "      <td>109</td>\n",
              "      <td>14</td>\n",
              "      <td>-6128000000</td>\n",
              "      <td>17879000000</td>\n",
              "      <td>4.38</td>\n",
              "      <td>4.081963e+09</td>\n",
              "      <td>10.552512</td>\n",
              "      <td>-26.380687</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>320</th>\n",
              "      <td>WFC</td>\n",
              "      <td>Wells Fargo</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>54.360001</td>\n",
              "      <td>5.532912</td>\n",
              "      <td>0.969774</td>\n",
              "      <td>12</td>\n",
              "      <td>99</td>\n",
              "      <td>-460000000</td>\n",
              "      <td>22894000000</td>\n",
              "      <td>4.18</td>\n",
              "      <td>5.477033e+09</td>\n",
              "      <td>13.004785</td>\n",
              "      <td>-0.938007</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>331</th>\n",
              "      <td>XOM</td>\n",
              "      <td>Exxon Mobil Corp.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Integrated Oil &amp; Gas</td>\n",
              "      <td>77.949997</td>\n",
              "      <td>3.656915</td>\n",
              "      <td>1.370062</td>\n",
              "      <td>9</td>\n",
              "      <td>7</td>\n",
              "      <td>-911000000</td>\n",
              "      <td>16150000000</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.194805e+09</td>\n",
              "      <td>20.246752</td>\n",
              "      <td>-2.706443</td>\n",
              "      <td>5</td>\n",
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              "  </tbody>\n",
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            ]
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We find primarily big-name, multi-national corporations here, including financial institutions, major technology and telecommunication corporations, and even common consumer brands such as Ford and Coca Cola. Note that banks are the major contributor to the negative skew in net cash flow.\n",
        "\n",
        "Turning to a more geneal cluster analysis, let's look at the number of records in each group."
      ],
      "metadata": {
        "id": "y8_GJvmvGq7A"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data['km_group'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "72eUaJBDGgyv",
        "outputId": "2fce5712-ffc8-47ba-94d0-64e4fd34fd3b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2    264\n",
              "3     27\n",
              "0     20\n",
              "5     11\n",
              "1      8\n",
              "4      5\n",
              "7      3\n",
              "6      2\n",
              "Name: km_group, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "As suggested by the silhouette visualizer, there is one big group (namely group 2) and many smaller groups. Group 6 has two records, the fewest in the bunch."
      ],
      "metadata": {
        "id": "CKc5M5Y4964s"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# group 2\n",
        "data.query('km_group==2')['GICS Sector'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nDpTmjk90-TC",
        "outputId": "24dbe825-d1c5-4243-d8d0-6d6ca0f346ea"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Industrials                    50\n",
              "Financials                     45\n",
              "Consumer Discretionary         32\n",
              "Health Care                    28\n",
              "Real Estate                    26\n",
              "Utilities                      24\n",
              "Information Technology         20\n",
              "Materials                      17\n",
              "Consumer Staples               15\n",
              "Energy                          5\n",
              "Telecommunications Services     2\n",
              "Name: GICS Sector, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Group 2 is comprised of securities from many sectors. Industrials are the most common, followed by financials. The sector with the fewest records in this group is telecom."
      ],
      "metadata": {
        "id": "5SOHxLTY-T9N"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# group 3\n",
        "data.query('km_group==3')['GICS Sector'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "d3YVIy0c-9Ry",
        "outputId": "9f613fa0-4d14-460f-ccf3-2fb319c63fa4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Energy                    21\n",
              "Industrials                2\n",
              "Materials                  2\n",
              "Information Technology     2\n",
              "Name: GICS Sector, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data['GICS Sector'].value_counts()['Energy']"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Hf8DauvgBt6Q",
        "outputId": "47c16290-519e-4320-8d4b-88961161c9ba"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "30"
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Of the 30 Energy securities in our data set, 21 have landed in group 3."
      ],
      "metadata": {
        "id": "syaIQdE_B2FP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "(data\n",
        " .query('km_group==3')\n",
        " .loc[(data\n",
        "       .query('km_group==3')['GICS Sector']\n",
        "       .mask(lambda x: x=='Energy')\n",
        "       .notnull())\n",
        " ]\n",
        ")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 527
        },
        "id": "Cgw-OyGO_Gfu",
        "outputId": "57c15561-5f1f-475d-cbb7-2a3159462186"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                    Security             GICS Sector  \\\n",
              "33           ARNC                 Arconic Inc             Industrials   \n",
              "127           FCX   Freeport-McMoran Cp & Gld               Materials   \n",
              "157           HPE  Hewlett Packard Enterprise  Information Technology   \n",
              "213           MOS          The Mosaic Company               Materials   \n",
              "259           PWR        Quanta Services Inc.             Industrials   \n",
              "289           TDC              Teradata Corp.  Information Technology   \n",
              "\n",
              "                              GICS Sub Industry  Current Price  Price Change  \\\n",
              "33                          Aerospace & Defense       7.398807      1.647784   \n",
              "127                                      Copper       6.770000    -31.685167   \n",
              "157  Technology Hardware, Storage & Peripherals      15.200000    -17.837838   \n",
              "213        Fertilizers & Agricultural Chemicals      27.590000    -11.229086   \n",
              "259                    Industrial Conglomerates      20.250000    -16.632362   \n",
              "289                        Application Software      26.420000     -8.833678   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "33     2.592065    3          37       42000000   -322000000   \n",
              "127    3.796410  155           5     -240000000 -12156000000   \n",
              "157    3.400491    7          45     7523000000   2461000000   \n",
              "213    2.830675   10          62    -1098300000   1000400000   \n",
              "259    2.954291   10          11      -61744000    321824000   \n",
              "289    2.730659   25          88        5000000   -214000000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "33                -0.31                  1.038710e+09  18.687607   2.639814   \n",
              "127              -11.31                  1.074801e+09  22.811951   2.935427   \n",
              "157                1.80                  5.139877e+08  25.309524   3.954975   \n",
              "213                2.79                  3.585663e+08   9.888889   5.846617   \n",
              "259                1.59                  2.024050e+08  12.735849   4.291894   \n",
              "289               -1.53                  1.398693e+08  74.555557   4.068084   \n",
              "\n",
              "     km_group  \n",
              "33          3  \n",
              "127         3  \n",
              "157         3  \n",
              "213         3  \n",
              "259         3  \n",
              "289         3  "
            ],
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              "\n",
              "  <div id=\"df-3a6c32f9-4060-4c87-8e57-52de61769b63\">\n",
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              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
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              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>33</th>\n",
              "      <td>ARNC</td>\n",
              "      <td>Arconic Inc</td>\n",
              "      <td>Industrials</td>\n",
              "      <td>Aerospace &amp; Defense</td>\n",
              "      <td>7.398807</td>\n",
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              "    <tr>\n",
              "      <th>127</th>\n",
              "      <td>FCX</td>\n",
              "      <td>Freeport-McMoran Cp &amp; Gld</td>\n",
              "      <td>Materials</td>\n",
              "      <td>Copper</td>\n",
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              "      <td>-31.685167</td>\n",
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              "      <td>22.811951</td>\n",
              "      <td>2.935427</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>157</th>\n",
              "      <td>HPE</td>\n",
              "      <td>Hewlett Packard Enterprise</td>\n",
              "      <td>Information Technology</td>\n",
              "      <td>Technology Hardware, Storage &amp; Peripherals</td>\n",
              "      <td>15.200000</td>\n",
              "      <td>-17.837838</td>\n",
              "      <td>3.400491</td>\n",
              "      <td>7</td>\n",
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              "      <td>1.80</td>\n",
              "      <td>5.139877e+08</td>\n",
              "      <td>25.309524</td>\n",
              "      <td>3.954975</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>213</th>\n",
              "      <td>MOS</td>\n",
              "      <td>The Mosaic Company</td>\n",
              "      <td>Materials</td>\n",
              "      <td>Fertilizers &amp; Agricultural Chemicals</td>\n",
              "      <td>27.590000</td>\n",
              "      <td>-11.229086</td>\n",
              "      <td>2.830675</td>\n",
              "      <td>10</td>\n",
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              "      <td>5.846617</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>259</th>\n",
              "      <td>PWR</td>\n",
              "      <td>Quanta Services Inc.</td>\n",
              "      <td>Industrials</td>\n",
              "      <td>Industrial Conglomerates</td>\n",
              "      <td>20.250000</td>\n",
              "      <td>-16.632362</td>\n",
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              "      <td>12.735849</td>\n",
              "      <td>4.291894</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>289</th>\n",
              "      <td>TDC</td>\n",
              "      <td>Teradata Corp.</td>\n",
              "      <td>Information Technology</td>\n",
              "      <td>Application Software</td>\n",
              "      <td>26.420000</td>\n",
              "      <td>-8.833678</td>\n",
              "      <td>2.730659</td>\n",
              "      <td>25</td>\n",
              "      <td>88</td>\n",
              "      <td>5000000</td>\n",
              "      <td>-214000000</td>\n",
              "      <td>-1.53</td>\n",
              "      <td>1.398693e+08</td>\n",
              "      <td>74.555557</td>\n",
              "      <td>4.068084</td>\n",
              "      <td>3</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-3a6c32f9-4060-4c87-8e57-52de61769b63')\"\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 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
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              "\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",
              "    [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-3a6c32f9-4060-4c87-8e57-52de61769b63 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-3a6c32f9-4060-4c87-8e57-52de61769b63');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The other entries in group 3 are split between industrials, materials, and information technology. These six records are shown above."
      ],
      "metadata": {
        "id": "emKDfkEAB9lu"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# group 0\n",
        "data.query('km_group==0')['GICS Sector'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8DxHO9mmCSY3",
        "outputId": "202d7272-364a-410f-bd01-073b72308fcb"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Information Technology         8\n",
              "Health Care                    5\n",
              "Consumer Discretionary         3\n",
              "Telecommunications Services    1\n",
              "Energy                         1\n",
              "Consumer Staples               1\n",
              "Materials                      1\n",
              "Name: GICS Sector, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 42
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Group 0 is comprised primarily of IT and healthcare securities. It generally performs around the middle of the pack, but it offers the highest cash ratios among the groups."
      ],
      "metadata": {
        "id": "t7a3n3HXDMAE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==6')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 280
        },
        "id": "y0Q4oa9DCSVO",
        "outputId": "6118dd80-7215-46f5-abd0-c8de6a015a7c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "   Ticker Symbol            Security GICS Sector  \\\n",
              "30           APA  Apache Corporation      Energy   \n",
              "62           CHK   Chesapeake Energy      Energy   \n",
              "\n",
              "                     GICS Sub Industry  Current Price  Price Change  \\\n",
              "30  Oil & Gas Exploration & Production      44.470001     11.397804   \n",
              "62                Integrated Oil & Gas       4.500000    -38.101788   \n",
              "\n",
              "    Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "30    2.405408  917          80      698000000 -23528000000   \n",
              "62    4.559815  687          22    -3283000000 -14685000000   \n",
              "\n",
              "    Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "30              -61.20                   384444444.4  93.089287   4.970809   \n",
              "62              -22.43                   654703522.1  28.407929  -1.840528   \n",
              "\n",
              "    km_group  \n",
              "30         6  \n",
              "62         6  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-950ec1c0-bc32-477b-a623-331e03f1c857\">\n",
              "    <div 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>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
              "      <th>Price Change</th>\n",
              "      <th>Volatility</th>\n",
              "      <th>ROE</th>\n",
              "      <th>Cash Ratio</th>\n",
              "      <th>Net Cash Flow</th>\n",
              "      <th>Net Income</th>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <th>P/E Ratio</th>\n",
              "      <th>P/B Ratio</th>\n",
              "      <th>km_group</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>30</th>\n",
              "      <td>APA</td>\n",
              "      <td>Apache Corporation</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Oil &amp; Gas Exploration &amp; Production</td>\n",
              "      <td>44.470001</td>\n",
              "      <td>11.397804</td>\n",
              "      <td>2.405408</td>\n",
              "      <td>917</td>\n",
              "      <td>80</td>\n",
              "      <td>698000000</td>\n",
              "      <td>-23528000000</td>\n",
              "      <td>-61.20</td>\n",
              "      <td>384444444.4</td>\n",
              "      <td>93.089287</td>\n",
              "      <td>4.970809</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>62</th>\n",
              "      <td>CHK</td>\n",
              "      <td>Chesapeake Energy</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Integrated Oil &amp; Gas</td>\n",
              "      <td>4.500000</td>\n",
              "      <td>-38.101788</td>\n",
              "      <td>4.559815</td>\n",
              "      <td>687</td>\n",
              "      <td>22</td>\n",
              "      <td>-3283000000</td>\n",
              "      <td>-14685000000</td>\n",
              "      <td>-22.43</td>\n",
              "      <td>654703522.1</td>\n",
              "      <td>28.407929</td>\n",
              "      <td>-1.840528</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-950ec1c0-bc32-477b-a623-331e03f1c857')\"\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 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\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",
              "    [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-950ec1c0-bc32-477b-a623-331e03f1c857 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-950ec1c0-bc32-477b-a623-331e03f1c857');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "While group 6 is small, at least both records are from the energy sector. Other than that, their performance differs in almost every attribute."
      ],
      "metadata": {
        "id": "OfcwTw46Dwvz"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### A Curiosity: k=3"
      ],
      "metadata": {
        "id": "OZMO2UGuEyen"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "We briefly investigate the possibility of only three clusters."
      ],
      "metadata": {
        "id": "XV0YlF72ENQu"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# kmeans with k=3\n",
        "km3=KMeans(n_clusters=3,\n",
        "           n_init=10,\n",
        "           random_state=1)\n",
        "km3.fit(attr)\n",
        "km_group3=km3.predict(attr)\n",
        "data['km_group3']=km_group3"
      ],
      "metadata": {
        "id": "V8U-d8z-5HNu"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for col in attr.columns:\n",
        "  plt.figure(figsize=(8,5))\n",
        "  plt.title(str(col)+' by Cluster')\n",
        "  sns.boxplot(data=data,\n",
        "              x='km_group3',\n",
        "              y=col,\n",
        "              showfliers=False)\n",
        "  plt.xlabel('Cluster')\n",
        "  plt.show()\n",
        "  print('')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "lAuTC2QB5-ZG",
        "outputId": "b37eb258-e203-4d74-dab8-5ee3dd9be90a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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PD67kdDWPv79NkhQREWJwEgCeyso6rD37fpItNMDoKF7ntDkkSb/k/mpwEt9w5J+Tv7/NK7+Tq00RsNvtkqSAgAANGDBAw4cPr/C+cnNPy+l0VVa0Gqmo6PwP2dGjpwxOAsBTRUUO2UIDFBrb0OgoqGT5mzNUVOSo0O9kq9VS7hvganGOwJkzZ3Tq1PkX73K59OGHHyoqKsrgVAAAVH/VYkQgNzdXjz32mBwOh5xOp1q0aKHJkyf7NIOZ5t4k882/eWvuDQCqumpRBJo0aaJVq1YZmuHQoQP66ee9sgX6/iY8RnA6zp8jsPfQMYOTeJ+j8ITREQDAMNWiCFQVtsAwBTXtYXQMVLIzBz4xOgIAGKZanCMAAAC8gyIAAICJUQQAADAxigAAACZGEQAAwMQoAgAAmBgfH/RQfv4JOQpP8FGzGshReEL5+fwooPrLzz+h4hO/KX9zhtFRUMmKT/ymfD/vXPOEEQEAAEyMt0EeCg0N09GTxVxQqAY6c+AThYaa44qRqNlCQ8N0rPg4Nx2qgfI3Z3jt9xQjAgAAmBhFAAAAE6MIAABgYhQBAABMjCIAAICJ8akBwGS2bt2sLVs+9/lx8/PPfwba15/Q6Nr1FnXpEuvTYwLVCUXgTzDTBYWcxYWSJKtfoMFJvM9ReELSlUbHqPHy8/Ml+b4ImI0j/5wpLijkLHRIkqyBNoOT+IYj/5wU7p19UwQ81KRJU6Mj+NTBgwckSVc1McMfyCtN9f3t0iXWkHfIKSnTJUnJyc/4/NhmYab/j92/o8JN8prDvff9pQh4aMCAJKMj+BS/tIHqx0y/p/gdVXk4WRAAABOjCAAAYGJMDVRxRp3h/fv82+/Db77EWd4A4DsUAZQqNDTU6AgAAB+gCFRxRp3hDQAwB84RAADAxCgCAACYWLWZGvj11181duxYnThxQmFhYUpJSVGzZs2MjgVU2LvvLtahQweMjuEzRp6AaoQmTZqa6nP9qL6qTRGYPHmyBgwYoD59+mj16tWaNGmSFi9ebHQsoMIOHTqg/Xt3q0FwtfkxvCxBckqSCrP2GpzE+7JOFxsdAfBYtfgNlJubq127dmnhwoWSpISEBE2fPl15eXmqV6+ewemAimsQ7KdB7fh/uKZZuCPP6AiAx6rFOQKZmZmKjIyUzXb+5hI2m03169dXZmamwckAAKjeqsWIQGULDw82OgIgf3+bCo0OAa/x97cpIiLE6Bg1lr//+TeG/BtfPo+LQFFRkb7//nvl5OTo9ttv15kzZyRJQUFBXgv3O7vdruzsbDkcDtlsNjkcDuXk5Mhut1dof7m5p+V0uio5JfDnFBU5jI4ALyoqcujo0VNGx6ixfv/54d/40qxWS7lvgD2aGvjpp58UHx+viRMnasKECZKk7du3a/z48ZWT8hLCw8MVFRWltLQ0SVJaWpqioqI4PwAAgMvkURGYMmWKRo4cqY8//lh+fucHETp06KBvv/3Wq+H+mGHJkiWKj4/XkiVLNHXqVJ8dGwCAmsqjqYG9e/eqT58+kiSLxSLp/JTAb7/95r1kf9CiRQutWLHCZ8cDAMAMPBoRaNSokX744YcSy3bs2KGrrrrKK6EAAIBveDQi8Pjjj2vo0KG65557VFRUpHnz5mnZsmWaPt0cVwgDAKCm8mhEoFu3bnrrrbeUl5enDh066MiRI5ozZ466du3q7XwAAMCLLjki4HA4FB8frw8//FBTpkzxQSQAAOArlxwRsNlsstlsPj0xEAAA+IZH5wgkJSXpiSee0NChQ9WgQQP3JwckqUmTJl4LBwAAvMujIvD7SYFbt24tsdxisejHH3+s/FQAAMAnPCoCu3fv9nYOAABggGpx90EAAOAdHo0IFBcX691339X27dt1/PhxuVz/f8Oe1NRUr4UDAADe5dGIwMyZM7V8+XLFxMTo3//+t+Li4pSbm6ubbrrJ2/kAAIAXeTQisGHDBi1fvlwNGzbUnDlzdP/996tr166aPHmyHnvsMW9nBABUYVu3btaWLZ/79JgHDx6QJKWk+P4Kt1273qIuXWJ9flxv8agIFBYWym63S5ICAwN19uxZtWjRQrt27fJqOKAmy88/oeOni7VwR57RUVDJsk4Xq27+CaNj1GihoaFGR6gxPCoCLVq00M6dO9WuXTu1bdtWc+bMUXBwsCIjI72dDwBQxXXpEluj3iGbjUdFYPz48bLZbJKksWPHasqUKSooKOCmQ8BlCA0NU62zxzSoXT2jo6CSLdyRp8DQMKNjAB7xqAi0a9fO/XWzZs20aNEib+UBAAA+5FERkKR9+/Zp9+7dOnPmTInl/fr1q/RQAADANzwqAnPnztXrr7+u1q1bKzAw0L3cYrFQBAAAqMY8KgLvvPOOVqxYodatW3s7DwAA8CGPLigUGBio5s2bezsLAADwsTKLgNPpdP/3+OOPa8aMGcrJySmx3Ol0+jIrAACoZGVODbRp00YWi0WS3PcWWLFihXu9y+XiNsQAAFRzZRaBTz75xJc5AACAAcosAo0aNSrzSfn5+VzeEQCAGqDckwVXrVqlL774wv14586duuWWW3TTTTcpPj5e+/bt83pAAADgPeUWgQULFigiIsL9eNKkSercubPWrFmjzp07a9asWV4PCAAAvKfc6whkZWWpZcuWkqTMzEzt2bNHCxcuVFhYmJ566inFxcV5PeDYsWO1bds21a1bV5LUq1cvDR8+3OvHBQDADMotAjabTUVFRapVq5a+++47NW/eXGFh52+kUbt2bRUWFvok5JAhQ3Tffff55FgAAJhJuVMDN954o2bPnq3du3frn//8p7p16+Zet2/fvhLTBgAAoPopd0RgwoQJGjNmjJYvX67o6Gg9/PDD7nWrV6/WzTff7PWAkrRw4UItX75cTZo00VNPPaUWLVpc1v7Cw4MrKRlQcf7+NvlmTA1G8Pe3KSIixOgYwCWVWwQiIyO1ePHiUteNHj26UgL07dtXGRkZpa7btm2bRo0apYiICFmtVq1atUqDBw9Wenq6bDZbhY+Zm3taTqerws8HKkNRkcPoCPCioiKHjh49ZXQMQFarpdw3wB7fhthbVq5cWe76yMhI99d33nmnZs6cqaysrHKvcwAAADzj0U2HjJSdne3++osvvpDVai1RDgAAQMUZPiJwKcnJycrNzZXFYlFwcLDefPNN+flV+dgAAFQLl/yL6nA4tHLlSt1xxx0KCAjwRaYSFi1a5PNjAgBgFpecGrDZbHr++ecNKQEAAMC7PDpHoFu3bvr000+9nQUAAPiYR5Ptv/32m0aOHKno6Gg1aNBAFovFvY77DQAAUH15VARatmzpvucAAACoOTwqAiNGjPB2DgAAYACPP4e3detWrVu3Tnl5eZo7d6527typ06dPq1OnTt7MBwAAvMijkwX/+c9/asqUKWrWrJm2b98uSQoMDNSrr77q1XAAAMC7PCoC77zzjhYuXKghQ4bIaj3/lObNm+vXX3/1ajgAAOBdHhWBgoIC2e12SXJ/YqC4uFj+/v7eSwYAALzOoyLQoUMHzZ8/v8SyxYsXq2PHjl4JBQAAfMOjkwUnTJig4cOHa8WKFSooKFB8fLzq1KmjefPmeTsfAADwIo+KQGRkpP71r39p586dOnLkiOx2u9q1a+c+XwAAAFRP5RaBffv2afz48dqzZ4+uvfZaPffcc2rXrp2vsgEAAC8r9y39jBkz1LhxY82ePVv169fXzJkzfZULAAD4QLkjAv/+97+1efNm1apVSzExMYqPj/dVLgAA4APljggUFRWpVq1akqQ6dero3LlzPgkFAAB8o9wRgXPnzpW4emBhYeFFVxN8/PHHvZMMAAB4XblFIDExUVlZWe7Hf/nLX0o8BgAA1Vu5RYCTAwEAqNm4EAAAACZGEQAAwMQoAgAAmBhFAAAAE/OoCHz11Vc6dOiQJCknJ0fJyckaN26cjh496tVwAADAuzwqAlOnTpXNZpMkpaSkqLi4WBaLRc8884xXwwEAAO/y6O6D2dnZatiwoYqLi7VlyxZ9+umn8vf318033+ztfAAAwIs8GhEIDg7WsWPHtH37drVo0UJ16tSRJBUXF1dKiNWrVysxMVFt2rTRkiVLSqw7e/asnnjiCfXs2VO9evXSpk2bKuWYAADAwxGB++67T/369VNRUZHGjx8vSfqf//kfNW/evFJCREVFafbs2Zo/f/5F6xYsWKDg4GBt3LhR+/fv19///ndt2LDBXUYAAEDFeVQEhgwZop49e8pms+mqq66SJEVGRmrGjBmVEqJly5aSJKv14gGKjz76SM8//7wkqVmzZmrbtq02b96s3r17V8qxAQAwM4+KgCRdffXV5T72loyMDDVq1Mj92G63X/b9DsLDgy83FnDZ/P1tKjQ6BLzG39+miIgQo2MAl+RREbjllltksVguWh4QEKDIyEjFxcXp3nvvlZ9f6bvr27evMjIySl23bds29ycSfCU397ScTpdPjwn8UVGRw+gI8KKiIoeOHj1ldAxAVqul3DfAHhWBgQMHas2aNRo4cKDsdrsyMzOVmpqqXr16KTQ0VAsXLlRmZqaefvrpUp+/cuXKiqWX1LBhQx05ckT16tWTJGVmZqpjx44V3h8AAPh/HhWBlStX6u2331ZkZKR7WWxsrB588EGtW7dOHTt21KBBg8osApejV69eWr58ua677jrt379fO3fu1EsvvVTpxwEAwIw8+vjg0aNHLzpLv3bt2srJyZF0/nyBkydPVjhEWlqaYmNj9fHHH+vVV19VbGys9u7dK0l66KGHdPLkSfXs2VNDhw7VtGnTFBzMHD8AAJXBoxGBbt26afjw4Ro+fLgiIyOVnZ2tefPmqVu3bpKk7777To0bN65wiISEBCUkJJS6LigoSK+99lqF9w0AAMrmURGYNm2a5syZo0mTJiknJ0cRERHq3bu3Hn30UUlSkyZNNG/ePK8GBWqirNPFWrgjz+gYPnH6nFOSFBxQ8+91lnW6WM2MDgF4yOJyuUx3+jyfGkBV8O67i3Xo0AGjY/jMwYPnX+tVVzU1OIlvNGnSVAMGJBkdA7jkpwY8LgL79u3T7t27debMmRLL+/Xrd3kJDUARAHwvJWW6JCk5mZuVAb5UKR8fnDt3rl5//XW1bt1agYGB7uUWi6VaFgEAAHCeR0XgnXfe0YoVK9S6dWtv5wEAAD7k0Vk7gYGBlXaDIQAAUHV4VAQef/xxzZgxQzk5OXI6nSX+AwAA1ZdHUwNjx46VJK1YscK9zOVyyWKx6Mcff/ROMgAA4HUeFYFPPvnE2zkAAIABPCoCF94GGAAA1BxlFoFnnnlG06ef/9zvmDFjSr0NsSTNmjXLO8kAAIDXlVkELrx3QNOm5rgSGAAAZlNmERg6dKj76xEjRvgkDAAA8C2PzhGQatYlhgEAwHlcYhgAABPjEsMAAJgYlxgGAMDEuMQwAAAmxiWGAQAwMY+KwIYNG2Sz2bydBQAA+Ngli4DD4VBCQoK++eYbBQQE+CITAADwkUueI2Cz2dSsWTMdP37cF3kAAIAPeTQ1kJiYqGHDhikpKUkNGjQosa5Tp05eCQYAALzPoyKwdOlSSdKcOXNKLLdYLNyiGACAasyjIvDpp596OwcAADCAR9cR8LbVq1crMTFRbdq00ZIlS0qsGzt2rGJjY9WnTx/16dNHb775pkEpAQCoeTwaETh9+rTmzJmj7du36/jx43K5XO51n3322WWHiIqK0uzZszV//vxS1w8ZMkT33XffZR8HAACU5NGIwJQpU7Rr1y498sgjOnHihCZOnCi73a4HHnigUkK0bNlS11xzjazWKjFAAQCAaXj0l3fr1q167bXXdNttt8lms+m2227TK6+8otWrV3s7nyRp4cKFSkxM1COPPKJffvnFJ8cEAMAMPJoacDqdCgkJkSQFBQXp1KlTioiI0IEDBzw6SN++fZWRkVHqum3btpV71cJRo0YpIiJCVqtVq1at0uDBg5Wenn5ZVzoMDw+u8HMBVIy///mf2YiIEIOTALiQR0WgdevW2r59uzp16qSYmBhNmTJFderUUbNmzTw6yMqVKyscMDIy0v31nXfeqZkzZyorK0uNGjWq8D5zc0/L6XRdekMAlaaoyCFJOnr0lMFJAHOxWi3lvgCi2g0AAAuqSURBVAH2aGpgxowZ7j+8EyZMUGBgoE6ePKlZs2ZVTspyZGdnu7/+4osvZLVaS5QDAABQcRbXhR8BMEhaWppmzZqlkydPyt/fX7Vr19bbb7+ta665Rg888IByc3NlsVgUHBysp59+Wu3bt7+s4zEiAPheSsp0SVJy8jMGJwHM5VIjAuVODcyYMUMTJ050P16xYoXuvvtu9+PHHnvsoqsNVkRCQoISEhJKXbdo0aLL3j8AAChduVMDH3zwQYnHL7zwQonHW7durfxEAADAZ8otAn+cNagCswgAAKASlVsELBZLuY8BAED1Vu45Ag6HQ1999ZV7JKC4uLjEY6fT6f2EAADAa8otAuHh4Ro/frz7cVhYWInH9erV814yAADgdeUWAW4/DABAzcZdfgAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYmJ/RASRp6tSp+vLLLxUQEKCgoCBNmDBB1113nSTp2LFjevrpp3XkyBHVqlVL06dP1/XXX29wYgAAaoYqMSIQGxurtWvXas2aNRo6dKhGjRrlXvfSSy8pJiZG69ev16RJkzRmzBi5XC4D0wIAUHNUiSLQrVs3+fv7S5Lat2+vrKwsOZ1OSdLHH3+se+65R5IUExOjgIAA7dy507CsAADUJFWiCFwoNTVVt956q6xWq44fPy6Xy6V69eq519vtdmVlZRmYEACAmsMn5wj07dtXGRkZpa7btm2bbDabJGndunVau3atUlNTvZonPDzYq/sHcDF///M/5xERIQYnAXAhnxSBlStXXnKbjRs3avbs2Vq0aJGuvPJKSVLdunUlSXl5ee5RgczMTDVo0OCy8uTmnpbTyXkGgC8VFTkkSUePnjI4CWAuVqul3DfAVWJqYNOmTZo5c6YWLFigxo0bl1jXq1cvLVu2TJL0zTffqLCwUG3btjUiJgAANU6V+PjguHHj5O/vr5EjR7qXLVq0SHXr1tVTTz2lMWPGaNWqVapVq5ZmzZolq7VK9BcAAKq9KlEEvvrqqzLXRUREaNGiRb4LAwCAifDWGgAAE6MIAABgYhQBAABMjCIAAICJUQQAADAxigAAACZGEQAAwMQoAgAAmBhFAAAAE6MIAABgYhQBAABMjCIAAICJUQQAADAxigAAACZGEQAAwMQoAgAAmBhFAAAAE6MIAABgYhQBAABMjCIAAICJUQQAADAxigAAACZGEQAAwMQoAgAAmBhFAAAAE6MIAABgYn5GB/jd1KlT9eWXXyogIEBBQUGaMGGCrrvuOknSwIEDlZGRoeDgYElSUlKS/vrXvxoZFwCAGqHKFIHY2FiNHz9e/v7+2rRpk0aNGqX09HT3+okTJ6pbt24GJgQAoOapMkXgwj/y7du3V1ZWlpxOp6xWZi8AAPCWKvlXNjU1VbfeemuJEjBr1iwlJiZq9OjRys7ONjAdAAA1h89GBPr27auMjIxS123btk02m02StG7dOq1du1apqanu9bNmzZLdbpfD4dC8efP0xBNPaOnSpRXOEh4eXOHnAqgYf//zP+MRESEGJwFwIZ8VgZUrV15ym40bN2r27NlatGiRrrzySvdyu90uSbLZbEpKStI//vGPy5o2yM09LafTVaHnAqiYoiKHJOno0VMGJwHMxWq1lPsGuMpMDWzatEkzZ87UggUL1LhxY/fy4uJiHTt2zP143bp1atmyJecOAABQCarMyYLjxo2Tv7+/Ro4c6V62aNEi1apVS0OGDFFRUZEkqX79+nr55ZeNigkAQI1SZYrAV199Vea6Dz74wIdJAAAwD4vL5TLdZDnnCMDMtm7drC1bPvf5cQ8ePCBJuuqqpj49bteut6hLl1ifHhOoSi51jkCVGREAULOFhoYaHQFAKRgRAACgBqs2nxoAAAC+RxEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDETHmvAavVYnQEAAB84lJ/80x5rwEAAHAeUwMAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwigIv8+uuv6t+/v+Lj49W/f3/t37/f6EioxlJSUtS9e3e1atVKe/bsMToOaoDjx4/r4YcfVnx8vBITEzVixAjl5eUZHavaogjgIpMnT9aAAQO0fv16DRgwQJMmTTI6EqqxHj16KDU1VY0aNTI6CmoIi8WiwYMHa/369Vq7dq2aNGmiF1980ehY1RZFACXk5uZq165dSkhIkCQlJCRo165dtG1UWExMjOx2u9ExUIOEhYWpY8eO7sft27dXRkaGgYmqN4oASsjMzFRkZKRsNpskyWazqX79+srMzDQ4GQBczOl0aunSperevbvRUaotigAAoNqaPn26goKCdN999xkdpdryMzoAqha73a7s7Gw5HA7ZbDY5HA7l5OQwtAugyklJSdGBAwc0d+5cWa28r60o/uVQQnh4uKKiopSWliZJSktLU1RUlOrVq2dwMgD4fy+//LJ++OEHvf766woICDA6TrVmcblcLqNDoGr55ZdfNHbsWJ08eVJXXHGFUlJS1Lx5c6NjoZqaMWOGNmzYoGPHjqlu3boKCwvTunXrjI6Fauznn39WQkKCmjVrpsDAQElS48aN9frrrxucrHqiCAAAYGJMDQAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAUCFz5szR6NGjjY4B4DJRBACUa+3atbrrrrsUHR2trl27avDgwfrmm28qZd+HDx9Wq1atVFxcXCn7A/DncYlhAGVauHCh5s+fr6lTp6pr167y9/fXF198oU8++URBQUFGx1NxcbH8/Pg1BlwORgQAlOrUqVN67bXXNGnSJMXFxSkoKEj+/v7q3r27kpOTS2z79ddfKzY2tsSy7t27a9u2bZKkHTt26K677tINN9ygzp07a+bMmZLkvlFMhw4dFB0dre+++06S9P7776t3797q0KGDHnroIR05csS931atWik1NVVxcXGKi4vz2usHzIIqDaBU3333nX777Tf17Nnzsvf17LPPKikpSXfeeacKCgr0888/S5KWLFmiHj16aPv27e539unp6Zo3b57mzp2rpk2bav78+Xrqqae0bNky9/7S09P13nvvuS8vC6DiGBEAUKoTJ06obt26lTL07ufnp4MHDyovL0916tRR+/bty9x22bJlGjJkiFq0aCE/Pz8NGzZMP/74Y4lRgSFDhigsLIwiAFQCigCAUoWFhen48eOVciLfs88+q/3796t3797661//qk2bNpW5bUZGhp577jnFxMQoJiZGN954o1wul7Kzs93bcFtsoPIwNQCgVNHR0QoICFB6erp69epV7ra1a9dWYWGh+7HD4VBeXp77cbNmzfTyyy/L6XRqw4YNGjlypL7++mtZLJaL9mW32zVs2DDdcccdZR6vtOcBqBhGBACUKiQkRCNHjtS0adOUnp6us2fPqqioSJ9//rlmzZpVYturr75av/32mz777DMVFRXpzTff1Llz59zrV69erby8PFmtVl1xxRWSJKvVqnr16slqterQoUPube+55x7Nnz/ffR7BqVOn9NFHH/ngFQPmxIgAgDI9+OCDuvLKK/XGG29o9OjRqlOnjq699loNGzZMW7dudW8XEhKiyZMna+LEiXI4HBo8eLAaNGjgXv/FF1/o+eefV2FhoRo2bKjZs2e75/eHDRume++9V8XFxXrrrbfUs2dPFRQU6Mknn9SRI0cUEhKizp07q3fv3j5//YAZWFwul8voEAAAwBhMDQAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGL/B4cG6CRsE3ITAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "With only three clusters, we see some features with separation and others with none. This model seems too coarse to distinguish meaningfully between groups of securities."
      ],
      "metadata": {
        "id": "YHeOCqerE9xU"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "083oRHCMUw55"
      },
      "source": [
        "## Hierarchical Clustering"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Exploration of linkage methods, distance metrics, and number of clusters"
      ],
      "metadata": {
        "id": "GZqaIU0XQHfE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# declaring variables\n",
        "dist_metrics=['euclidean','chebyshev','mahalanobis','minkowski','cityblock']\n",
        "link_methods=['single','average','complete','weighted']\n",
        "pointwise=pdist(attr)\n",
        "\n",
        "tab=pd.DataFrame(\n",
        "    np.zeros((5,4)),\n",
        "    index=dist_metrics,\n",
        "    columns=link_methods)\n",
        "\n",
        "max_coph=0\n",
        "max_coph_data={'metric':'','linkage':''}"
      ],
      "metadata": {
        "id": "BMgDb_cyKPxK"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "We will explore many distance metrics and linkage methods to identify the pair with the highest cophenet correlation."
      ],
      "metadata": {
        "id": "xyWVurzYGvNl"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# computing cophenet scores\n",
        "for d in dist_metrics:\n",
        "  for l in link_methods:\n",
        "    z=linkage(attr,metric=d,method=l)\n",
        "    c,_=cophenet(z,pointwise)\n",
        "    tab.loc[d,l]=c\n",
        "    if c>max_coph:\n",
        "      max_coph=c\n",
        "      max_coph_data['metric']=d\n",
        "      max_coph_data['linkage']=l"
      ],
      "metadata": {
        "id": "ZucZsa4MKPth"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(f'''The maximum cophenetic correlation is {max_coph}\n",
        "      with the {max_coph_data['metric']} metric and {max_coph_data['linkage']} linkage method.''')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "p5NVtwDKK6EO",
        "outputId": "6e135d5e-99e2-4785-f6b4-e849a5450f86"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The maximum cophenetic correlation is 0.9422540609560814\n",
            "      with the euclidean metric and average linkage method.\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "tab"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        },
        "id": "M2QVkTEoKPpw",
        "outputId": "0948c329-7fcf-4686-a95c-cba3d9314194"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "               single   average  complete  weighted\n",
              "euclidean    0.923227  0.942254  0.787328  0.869378\n",
              "chebyshev    0.906254  0.933827  0.598891  0.912736\n",
              "mahalanobis  0.925920  0.924732  0.792531  0.870832\n",
              "minkowski    0.923227  0.942254  0.787328  0.869378\n",
              "cityblock    0.933419  0.930215  0.737533  0.731046"
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-73649c13-dc73-493c-be11-28d5428f039f\">\n",
              "    <div 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>single</th>\n",
              "      <th>average</th>\n",
              "      <th>complete</th>\n",
              "      <th>weighted</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>euclidean</th>\n",
              "      <td>0.923227</td>\n",
              "      <td>0.942254</td>\n",
              "      <td>0.787328</td>\n",
              "      <td>0.869378</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>chebyshev</th>\n",
              "      <td>0.906254</td>\n",
              "      <td>0.933827</td>\n",
              "      <td>0.598891</td>\n",
              "      <td>0.912736</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mahalanobis</th>\n",
              "      <td>0.925920</td>\n",
              "      <td>0.924732</td>\n",
              "      <td>0.792531</td>\n",
              "      <td>0.870832</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>minkowski</th>\n",
              "      <td>0.923227</td>\n",
              "      <td>0.942254</td>\n",
              "      <td>0.787328</td>\n",
              "      <td>0.869378</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>cityblock</th>\n",
              "      <td>0.933419</td>\n",
              "      <td>0.930215</td>\n",
              "      <td>0.737533</td>\n",
              "      <td>0.731046</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-73649c13-dc73-493c-be11-28d5428f039f')\"\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 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\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",
              "    [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-73649c13-dc73-493c-be11-28d5428f039f button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-73649c13-dc73-493c-be11-28d5428f039f');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The best score is achieved with the euclidean metric and average linkage. The table above lists the cophenet correlation for every pair of metric and linkage method.\n",
        "\n",
        "Notice that the scores trend based on the linkage method, with distance metric having far less effect. For example, the complete linkage method reliably led to lower cophenet correlation across distance metrics.\n",
        "\n",
        "There are a few extra linkage methods that require the Euclidean metric. Let's look at the dendrograms for all Euclidean linkage methods."
      ],
      "metadata": {
        "id": "6BptQ54lG9ir"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "link_methods=['single','average','complete','weighted','median','centroid','ward']\n",
        "\n",
        "# dendrogram plots\n",
        "for l in link_methods:\n",
        "  z=linkage(attr,metric='euclidean',method=l)\n",
        "  c,_=cophenet(z,pointwise)\n",
        "\n",
        "  # full tree\n",
        "  plt.figure(figsize=(18,10))\n",
        "  plt.subplot(2,1,1)\n",
        "  plt.title(f'{l.capitalize()} linkage method with cophenet correlation {np.round(c,4)}',\n",
        "            fontsize=20)\n",
        "  dendrogram(z)\n",
        "  plt.xticks([])\n",
        "\n",
        "  # truncated\n",
        "  plt.subplot(2,1,2)\n",
        "  plt.title('Truncated dendrogram',\n",
        "            fontsize=16)\n",
        "  dendrogram(z,p=30,truncate_mode='lastp')\n",
        "  plt.xticks([])\n",
        "  plt.show()\n",
        "  print('')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "TuQj0Ks5KPmT",
        "outputId": "9c36fa1c-9e7a-4a70-e64f-72078708e72e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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aAGL9+vXy8/NTjRo17M5ftmyZNm/eLF9fXw0aNEh169bNUXmeHh7y9fVRjOfNXfD19ZGnVyG7//+xb5+ir55RpdIVJEknLkXJ82Ihda7T+t/tef67fJblOrhcbrnd5eWWglpvAAAAAEDmMrb1nGn75VoAYv78+erSpYvded26dVP//v3l6emp33//XQMGDNDy5ctVqlSpWy4v5cYNnT+foJSUG5J08//kVPv/p6SqfDF/vVyzn6SbPSBSUlJ1/nzCv9tL+Xf5LMt1cLnccrvLyy0Ftd4AAAAAgMxlbOulf+3u7qYyZbwzXTdXnoIRGxurHTt2qEOHDnbn+/r6ytPTU5LUpEkT+fv76+jRo7lRNAAAAAAAKABypQfEggUL1Lx580x7NMTGxsrPz0+SdOjQIUVHR6tSpUq5UTRygTlHRm5Kn28jt5G/AwAAAAAKnlwLQIwcOdJqWr9+/TR48GDVrFlTkyZN0oEDB+Tu7i5PT0999NFH8vX1zY2ikQt2xu5RVGKMAr0Dcm2bgT65t630ohJvBjYIQAAAAABAwZIrAYhVq1bZTJsxY4bl/wkTJuRGMXChQO8ADQnpn9fVyJYrelQAAAAAAFwvV3JAAAAAAAAAZCXXnoIBpOeKvBISuSUAAAAAoKCiBwRcwpxXIrcF+gS4JL9EVGKMSwImAAAAAICb6AEBlykoeSUkcksAAAAAgKvRAwIAAAAAALgcAQgAAAAAAOByDMFAvuGqxJWOcGVyS0eQABMAAABAQbM5OtLSltocHalmFRpnuTw9IJBvuCpxpSNcldzSESTABAAAAFAQ7YzdI7lJcpNDbRp6QGQis7vxWd0p5y52zhWkxJW5hQSYAAAAAAqqQG/Hb+TSAyITmd2Nz+xOOXexAQAAAADIHD0gsuDM3XjuYgMAAAAAkDkCELgj5WVCS2fldQJMZzDMCAAAAMCtIgBxB3O0Ee5MA7igNEDNQ2icGY+UV/Iq+aWzzEOSCsL7DwAAACD/IQBxB3O0Ee5oA7igNUDvxoSWrlQQemgAAAAAyL8IQNzhcrMRTgMUAAAAAHCrCEAAGRSk/BG3U0HKVXG7FZShSQAAAEBeIgDhpMwap1k1zmicFCwFKX/E7VRQclXcbgVtaBIAAACQVwhAOCmzxmlmjTMaJwUT+SPgKHqEAAAAAI4hAHELnGmc0jgBAAAAAIAABOA0ckQgPXJjICOG3QEAANhHAALZMje4Mza07tYf2eSIQHrkxkB6DLsDAADIXI4DEGFhYfLy8lLhwoUlSa+99pqaNm1qtUxSUpJGjBihAwcOqFChQho+fLgeeeSRnBZ9x0p/hz19oz+vGvyWBne6htbd/iObHBEA7KEnDAAAQOZypQfE5MmTZTKZMp3/zTffyNvbW2vWrNGJEyfUo0cPrV69WsWKFcuN4u846e+wmxv9ed3gz9jg5kc2AAAAAMAZt2UIxooVK/Thhx9KkipWrKjg4GBt2rRJjz766O0ovkCiwQ8AAAAAuJPkSgDitddek2EYqlevnl599VUVL17can5MTIzKly9vee3v76+zZ8/mqExPDw/5+vooxvPmLvj6+sjTq5D9/z3//V+SzWt70+wtk9X0TOvp5PKO1s9VZedWffKyvjndliv2DcDdgesDAAC406X/vWP+36xMGe8s181xAOKnn36Sv7+/kpOTNW7cOI0ZM0affPJJTjebrZQbN3T+fIJSUm5I0s3/k1Pt/5/y7/+SbF7bm2ZvmaymZ1pPJ5d3tH6uKju36pOX9c3ptlyxbwUZT/0AHGfO2zNy1cd5XBMg/7tbk1kDQEGXvj1k/t8sLi4xyyCEe04L9/f3lyR5eXmpe/fu2r17t80yAQEBio6Otrw+c+aMypUrl9OiAdwG5pwkALIX6BPAk1EAB0QlxhDcBoC7UI56QFy7dk2pqany8fGRYRhavny5qlWrZrNcRESE5s2bp5o1a+rEiRPat2+fJk6cmJOiAdxGPPUDAJCbyG0FAHenHAUg4uLiNGjQIKWmpiotLU1VqlTR6NGjJUkdO3bUV199JT8/P/Xt21dvvvmmJZY1ygAAIABJREFUWrduLXd3d40ZM0be3lmPDQEAAAAAAHeOHAUgKlSooIULF9qdt2jRIsv/RYsW1eTJk3NSFLKQ2Rh981hke3cZGHcJAAAAALidbstjOOFa5jH6gd7W444zG4dsHs9PAMJx6YM89gI7BHQAAHA8cXFWN0ky4jsWAO4cBCDuEM6M0WfcpfPSB3kyBnYI6AAAcFNmN0UycjRZK9+xAHBnIQCRi+xF/RkGcefILMhDQAcAgH/lZuJivmMB4M6S48dw4l/2HleY2SPZePwUAAAAAOBuQg+IXOZo1J+Ifv60OTrSqtfK7eql4uiY2bzgzDjdvEBPIgAAAKBgoAcEkM7O2D2S282eK7ezl4q93jP5RWa9ePIDehIBAAAABQc9IOAU8536vOglcLuYe7Hc7jv+uTlm9m6RX3tlAAAAALBFAAJOsWS3/v93xMlODQAAAABwBAGIfM5ejwPJsXHvmeUVyG5Mf3bbTn+n/m69A53+2No7nndarxBn3M58Frc7P8Xd/L4CAAAAOUUAIp/L2ONAcrzXQWbP4s5qPH9OezRkDJhsjo68Ixts6Y9txuN5t/cKcfQZ8LnhduamuNvfVwBwVm4EpHMr0EwAGQDyBwIQBUDG3ADOfAk7m1cgp1/w6QMm5gSBd+oXfmbHNrNjmNUPsZz2Sslv7sR8Fndrbx8AuFW5EZDOjUAzAWQAyD8IQNxGWXXbL2gNzKzkVRLH/C6rH2Ku7JVyJ8nLx5Xmh8eR3knXCQB3h/wQkOb3CADkHwQgbqPMuu3TwLx73MoPsbz+4eRso/9WG+qONK5v5/COjPL6UaRcJwAAAFDQ3XUBiM3RkXn6CEl7DdC8bmACWXG20X8rDXVnGtf54W5aXuA6AeBOc7t6td2uHmz0UgOA7N11AYidsXskt5uNGO4oWsvr4MytsvcDhidT5C5XNPqt3jfj5ntWkM47AEDO3K5ebbejBxu/KQHAMXddAEIiR0FmCmpwxt4PmIL0ZIrs7gDdaQkqzewNScqr9ykvc0s4Kj/koHBEQT0fAeSNO6VXW36/NgNAfnFXBiCQuYIanMnuB0x+3p//1969x0dR3/sff2dzwULAEAwhFxCkyOEAFTAHbBWsEUq0IJy2Gg6gLRa8IVQBCR5TqCC2AaRUpFooaluRcnho4XCR29H+ClgvHGoLapW2IOYKBtREUEKS3x+c3WY3e5+ZndnN6/l45PFINrPz/czs7Mx8P/O9hHoClMgDVBqZ4cVMdo4tES67x6AIR7wfjwAAALAWCQgTuJ+exmP3BSNadtnYV/Fawm+vlaJ9AuTkxEq8SZSncHbieAQAAEAwJCBM4Hl6anMz8lhzd9lw/57o2wsAAJzDSd3nnNZNri08CAMQn0hA+BFoMMZggzS2fHrqlItPLETTZD3QDUOgizcX0bbL91jxPUbi7dhw0s2yFZx2A26FeDvmgETmpO5zTuom11YehAGITyQg/Ag0GKPZgzT6dt0I1Y0h0uWdKtANg7+LNxdRb6Eq5G7RVJKcmBjyPVZaHiPxeGw46WbZCk66AbdCPB5zQKKj+1xriZwEBhD/SEAEEGgwRjMHaWzZdaO8vjJkN4ZIl3eycG8YuIh6C1Yhd4u2kuTUxFCgYyVejw1uluNXvB5zACIT763VEqU1Gi3OgMRkKAFx+vRpzZ07V8ePH1daWpouvfRSLVy4UJmZmV7LzZs3T6+++qo6d+4sSSoqKtLdd99tpOi4EqzlQqQJjXidpSLRtbxZCWcw0kiXb8nKGT9IDAEAnCqcVoBmVFrjvbVaIrRGo8UZkLgMJSCSkpI0depUDRs2TJJUVlamZcuW6dFHH2217B133KHJkycbKS5uJVLLBfjX8mYlnMFII13eLpF2y3DjqYW94v3pnVMlylNFp+F8gXCFagVo5nWU1mr24jwLJC5DCYiMjAxP8kGSBg0apPXr1xsOKl6Z2dIB8cf3ZiXUZx3p8sEEalHhFu0NfiTdMtycmEhpa+L96Z1TJcJTRafhfIFIBUsMcI8FAM5n2hgQTU1NWr9+vQoLC/3+/5lnntGGDRvUvXt3zZ49W7179zZUXmpKirKyOqoy9cImZGV1VGpasv/fU2Pz+59PHVLFZ1Xqldldxz4u159PHdK/DxoVs/Kzsjp676MArwfcp1GW62ZFXOEsa9YyvssF25ZQf4daJpzlI9mOPx+6cOz1zMhXr8zuXv879nG5Uk8l698HjQp721u+1qtzd/2ocFar5ff8fa/2ffBmq9eTkpJU8VmVVh1a0+p/11z6bxrZe3jQ8lq+1vJv3/IqPquSJK9yWq4/EpF+V6IVy3ICfW6Ak/zo5eWSrP9OIHZCXetanst9z+OhzuGhzqFmnWPNPlcHul4iMH/XeIQW7X0QEKlgdcIuXdKDvte0BMSiRYvUvn17v90s7r//fmVlZcnlcmnTpk2aOnWq9uzZo+TkZD9rCk/D+fM6ebJODQ3nJenC7+ca/f/eEJvfJSmvQ46mD5ymFQefUkNDY0zLP3myznsfBXg94D41sN1WxRXOsmYt47tcoN/3Vbymo6c+lCQ9tHOpCrIH+V2/72vB1tey5cxDO5dK8t9qIdg+dR97vloei+Fue6jyJOmVv73m9yl7Xoccr/e6lddXqqGhUVd0GhR2eS3/9i3Ptxzf9Qfir3uC775vyczm4ZF+J51eDszVFrvOBPvuJbpE7XoS6j6g5bm85Xk8nHN4qHObWec+s8+hga6Xdvvki09Vd67e7jCCct9vIbSzjZ/r6KkP9crfXrM7FJjEydeJYHXC2tr6oEkIUxIQZWVl+uCDD/TUU0/J5XK1+n92drbn9/Hjx+vHP/6xqqurlZeXZ0bxQEz5m47V6PrcY4S4xUuz5Ej6yJrRNNaMprf+uicEalofL58DEkNb7DrTVru1tPVzi79zuV3dJ4Ilpc0c3NKJY0qsOPiU6hrq29Q5B4gXiXydMJyAWL58uQ4fPqzVq1crLS3N7zI1NTWeJMTevXvlcrm8khJAvAk2pkewsUBCrc/Nd73RrBOBOXm2DzOegps1WKKTM++JyomVFJiPsQrMEWpWjHDOYeEkpRO5IsA5B3CmRL5OGEpAHDlyRL/4xS/Us2dPTZgwQZKUn5+vVatWady4cVq9erWys7NVUlKi2tpaJSUlKT09XU8++aRSUkzr/YEWjEzv6CS+Fe5IbibsZsWsJ8yk4l+wwTfj4Vjxx4yn4GY8VU7kG24zmdltwuxZNuL1OxCJeO22Eq8zqjjtmAo2K0Yk5zArp7cG0LZFe50yep1w2vm6JUNZgD59+ui9997z+7/Nmzd7fn/22WeNFIMIxMv0jqGY1S3BrkSGFbOeRLLORElEheLveJecdcxHkyRxwhMpbrjDY2a3iY5p6ao7V+85Tow42/i5yusqTa2cO/H8Ea/dVuKl60nLMQL8HVNmHBNGr9OBzpdt7RwWTSUn2gqOE88FgFNFe50ycp1w0n2wPzRDSEBmTu9oJzO2I57HVzAi0kTUvorXbE1UGOli0vI48dyANV+4sXJC0iWWSRKexpsrnP0ZSbIg1D5wcn9sJ583nZCwS1TBjkmzjgknX6fjqTVmNJWc/I65+uSLTyM6j0WT3HTi/gJiKdbXKafX/UhAIOElSkImUu7tDqdS7m9gTbNuFsJJLpjVxcT3RtYpN7GxGnDNzKfBZj6hdcrnEKlw9me4+yncfeCUynSr5EuL84cUfYXC7C4TVnRloLLkzfeYtCLR69TrtJOTI/5Ec/6wOvHp5P0FxJtwr6GRXBvtuOaRgAAcxIrBJsOtlFvRbcS3/GDJBbPKb3kD5pSb2FiyogJruNLoU3mNlJ0VQrP2Z7wdi2b1rQ+1XqPM7spAZSk0OxK94V4brRgXyKnJETNZmfhMxP0F2CXca6i/a6O/aXcDtWiy+r6LBEQCc1LTwUQcLNAKVg02aXel3KrkhhmCVa5DZZDtOnYDxRwsXiOxGq00JnI/xmjFauo/I6zqW++UVh7+OPEc5USxvqaEe220ssubU++p3Mw8/zu5O5/EfSPatmivoeG2dorFfRcJiATmpKaDLW8KWg601jLzxgXlgniprDutshStYJXrYBXnUN+lQE/szGjlEijmQPGa8b23q9LoxO+BGeJx6j8nVcB8mVVhMrOy5IT94iRGz33hXhut6vIWyT2VGdODhhVLkPNHqBgjXX+0aKWEtsipg8GHcy8Xi/suEhAJzklNB1vePPhm4LigRCfSGzqjg036e7rkbtIVz8mkaPvNBhPoiZ1ZrVwiiTleKvF2tAqItgVMuDEE+47G29R/RipgnuUD7FMrKmTRMKuyxDWttUSYTjrceyqrujAFiyWQaM8jAcf+sJvBLn1mird7HcROPM1KaHXC1B8SEG2EvydXTmra64QLSTyK9IbOjMEm/X12dQ316pNxmSTnnmDtEOiJXaxauTjtex+KHa0CwmkB49tvMpI+k4lQ6Wop2gqY5/1+KviRfqbBElUtGTnW7R73xM3O72s4CWt/ywRjRws/u2Z5ajUQtJufY8PJ52U3p0x5a+Z0xUZYMdVxNOLh2Gmr4qWu4y9h6p4dx6qHiyQg2oiWN8GffPGpjnz8j7h9Wg1vkd7QWXEDaPcYE/7YPbVopEK1ZolmHBWnzgoSjB2tAsIpM1S/yWD7NtR3zl9l95MvPtVHZ2slSXP+3/zW6wzwpN5Jx7lVT2hjkaiyc9wTN7u/r+EkrP0t4zSBtiNWCdpgrSEk+z/nUHz3k5td5xonT1ccjL8BAI2yMgnipGtJvIuktXKo5He0Y5OFuieO9cNFEhBtiL8uEHZf+KyY9QGJL9ypPc2aWjQWXQNCPSmPdnC1cJNDoboinG8+77ciLAWvbBm9iQnVNNCsckKxMjHir7LrvlFtl9wu7PWYdT63Mnln1uB5sUhUxWLck6A3m0FaUcT6KX6w/WlmUtvIPUGw49ZfjEYStJEmL4J2ZzBpilujMQZi9nhiRlsXmdHywY7KdTwlTuyuGySaSFpChkp+B5vdIlhrhWjuia18uEgCoo1yykCHRponx1vzcpgn1lN7xqprQKh4W14MPDdxLW5erZrpIr9jrsrrKvVF4xcxrxCHenoYbTlOO38EaqoZrAIcTtNuKfKbbTOTd/7WbeXgeZF8rk6YASeaQXATuXJg5J4gljfYRluXWTlbh1kxtmRmU3IrWxeF08og3FYDVlwPYjWYs91dyLgXby3Y/Z2/Fq4thdqf4bZWiPae2IqHEiQgYLtovxCRXlydVuGIN07r0mBGciGSbbJrwMBATwTNurn017zW334Ip0Lsy6x9YsW+t2r/xfK7YVVyRgq/20g02x3q8/RNrgWaQcbfE+NIPtdoxv+QzJ83PdJKid0PDqxm5Nwey4crRp8ORjpbRzSj6juxe6RkXUXcrFYG8Z7kiyTJEyxpE01rEyu6hdh9v2k134Ske/wFSWGPwWDld92KhxIkIBDXWg7yVF5XGfRJMONgGBPqBBSP3WnMOqm2TGSYvd3BnghGcvwHSraYURGPdMYDyRk3FGZcsM0eZyPSqS5DjlRvUfPuSLY70vFLAh3z4TYFj+R7Ycb4H6G2P1JG+wBLzvh+xRO7E+wRJdfiYFR9O4Wb3Ii2+5NboOtsNK2qrOqqGE4ZZiVt3ImMLyVfFDCGaFg1zoXTzpG+9yNOmy3Q7OQuCQgkhHArkk4cByOeBDsBxeto/4G2KZJKk/v4c/9uVbPNYDMORDNYnG8iQzLYmiDIjActn7KYMapysM9Hiuzmwmjlw8wnD0b7WwdrFWH2uS7c7Y6muXmoGWTcQpVrRoIxnAqNmU+coukD3BLXtMhZ2e0o3PIjTa75dsGToh+AzgrRJKal6CqG0bTIiqb7k1uw62ygdQaavSNUBTuc/WF0oFMzWqQ4bYyLYC07zNjnZohkmm4ntWAyAwkIJAwnzAbR1iXSPo200mT3RdfKweIC3bxGMjq62Rl9M5ostlyXnZUPX4EqGeG2rgl0M2llN6FQLYBabZNkaPyScFtc+Tvmzeo2Y2YSLFDc4ZTdSpRPb9u6WFy/zKpwRJqoDHSOizQxEcl3J5zEtK9oz7/RtkSLpuIdqmVVsPNvpBX0SPZHoHIDxRvuZxnueBKRtHiIxfknnP0dSRc7yfy4w3lwF2mryGi+03a0/iIBAQAB+GveHqpJdzwL1k3D381rpDfBkdxgh1PBNLPJopUV1WiZ1aoo0huYaOIMtwWQWc3IjQ5WGKqyEs5nH24SzC3Syl2whFMkT299b7J9Y0u085iTRVPhCJVccwuVOAk0E0gkyddQXVk965R3hTTsiq2BmV9Cdb0KZ0YlIwnrSBKxgYQzsLBZgwqHm7QJ1SLL9/wSKhERqvWBv6SA7znNrPGG/N03uMsPt6WK0fNnOC1cW37nyusqPbFIkbV2DbR+Ox7AkIAAAB+RVsQTRTjdNAI1iY9kVo5wp1GNtIIZTSyh9oeZ4ztEI5zESMtBGkON8+F7A2PWGDiRPNUz2sLDdz1GBwAM1aVMCj2quHs9gZ64RVq583fM+7a4ON983vN5u+MMt/WRVccBQoukwhGL7oxGWo/6dmWVFHaC0V/F1jeR5xZJQi9khfv/yvPtEhFJYi5YMsf9u9GWfe790ZLvvgw3SR5Ol7ZAszOEM0C1mV0v6s7VB51xK5rxhiIZYDzU9gTqTipZl8z1/c71ybgs6LkhHlqEk4AAAB/RVMQTRbTbF0llPdwb7Egq34HWb3TA2XAHNIzlIKyB9l+4x20403XFQqwrWv4Ea34a7SCvfp+4hpkMC2ucnf+r3JXXeU+NG6glh78KhJOOg3hnxSDEkZyH7RwA2l+coVpm+Mbr+32pO1evs42fewYz7JiWrvx23rPSBHsCHCgu39isSMz5VlrDqRAHmoLR7zI+yVqrk+TBWnv4i9lf7JFyf2YBB1cOMu6JkRZ2kcwI5i9BEatzaKLcg7rsDgAAnMh9krd7bId44t5n4ey3aPev1w1X0j+b+wZa/8XtOulLKRd5VXKj4bkRC7CecOMyS6D9F85+dS9TkD3I62ZuX8VrlsYcLBa7vmehPtdIl2n52buPCelCJUqSjnz8D2362/aI9vW+ite04uBTF26Mmy/cFN835C7ld8xV74xeWnbtwoCfZbDYI/m+IjB/n32sy4/luceoQPG2fL1PxmWe/1/crpPnOL24XScpSRcSZyZsa8vvgO/6O6ale76v0Z4fwzkHtFwmv2Ou3+9qsM/YjO+xb5K15bb6O0f72y73+1vuM/eP0WuL7z7qmJbuVZa/eN1dgsK9xrXcx6E+e9/jxgnX0nhDAgIAEFcirbSaVckNtR67K9ORCqdi3RZEkrQJtUyghJCRilM4FcxwEg3xclzGI3+ffazLd9pn3DJx5n5q7xYqgepbeQznvZHGFqrCbVbyOpxzgBnbHWybQonmWuC7Xe7kSdcvXSKpdULi4T8u0Zz/N9/zE06CIlDyNZzzacvzZrjbFeqzD7SPuZZGjgQEAMA0wW464TxOrLgkKiP72qwkiT9GKi5AIEZaZljdqiPcCqPZ58dQ6zO6z4xUgs04PxVkD/J0kemYlu7VmsU9toObu7tLsFZh4bT8COecGM12BWr5QaLXHCQg4HhUaID4EW/NgYG2jqd3sIrVSTcjnFphdPI+C8V9LvlSykWerjOeVh2S2iW30/gv36hl1y4Mu1WY3dvky2nxxCvDCYijR4+quLhYo0ePVnFxsY4dO9ZqmcbGRj388MMaOXKkRo0apY0bNxotFm0IFRogvnCBBuIL31kAZvDtjmS0FYMZaOXlPIYTEAsWLNDEiRO1c+dOTZw4UfPnz2+1zJYtW3T8+HHt2rVLGzZs0MqVK1VeXm60aLQh3BwBAAAA8cXue3haeTmPoWk4a2tr9c477+iZZ56RJI0ZM0aLFi3SqVOnlJmZ6Vlu+/btuvnmm+VyuZSZmamRI0dqx44dmjp1atRlJ7fvJJcrScnpGZIklytJnTu18/t7xkWdYvK7WyzLdMLvbXW72QfsA/YB+6Ctbzf7gH3APmjb280+YB/Ewz7IuKiTbh8wSU8fXtdm90GstzuYpObm5uagSwRx+PBhlZSUaNu2bZ7XbrzxRi1dulT9+/f3vDZ27FgtXrxYX/nKVyRJa9asUU1NjUpLS6MtGgAAAAAAxBEGoQQAAAAAAJYzlIDIyclRTU2NGhsbJV0YbPLEiRPKyclptVxlZaXn76qqKnXr1s1I0QAAAAAAII4YSkB06dJF/fr109atWyVJW7duVb9+/bzGf5CkoqIibdy4UU1NTTp16pT27Nmj0aNHGykaAAAAAADEEUNjQEjS3//+d82bN0+ffvqpOnXqpLKyMl122WWaNm2aZs6cqYEDB6qxsVELFy7U/v37JUnTpk1TcXGxKRsAAAAAAACcz3ACAgAAAAAAIBQGoQQAAAAAAJYjAQEAAAAAACxHAgIAAAAAAFiOBAQAAAAAALAcCQgAAAAAAGA5EhAAAAAAAMByJCAAAAAAAIDlSEAAAAAAAADLkYAAAAAAAACWIwEBAAAAAAAsRwICAAAAAABYjgQEAAAAAACwHAkIAAAAAABgORIQAAAAAADAciQgAAAAAACA5UhAAAAAAAAAy5GAAAAAAAAAliMBAQAAAAAALEcCAgAAAAAAWI4EBAAAAAAAsBwJCAAAAAAAYDkSEAAAAAAAwHIkIAAAAAAAgOVIQAAAAAAAAMuRgAAAAAAAAJYjAQEAAAAAACxHAgIAAAAAAFiOBAQAAD769u0b8qewsNDuMCNWXl6ulStX6sMPPzR1va+//rr69u2r119/Par3FxYWat68eabGFI6VK1eqb9++MS8XAIC2KsXuAAAAcJoNGzZ4/X3vvfeqb9++mjFjhue1tLS0WIdlWEVFhZ544gldeeWV6t69u93hAACANoYEBAAAPgYNGuT1d1pamjp37tzq9ZYaGxvV3NyslBQurYkklp/ruXPn4jKxBQBAuOiCAQBAFPr27auf/vSnWr16tQoLCzVgwAC9//77evHFF9W3b1+Vl5d7Le+vub97Hb/+9a9VWFiowYMHa/LkyTpy5Eir8nbv3q0JEyZo8ODBGjJkiL7zne/of/7nfzz/f+6551RcXKyhQ4eqoKBAt9xyi37/+997/v/666/rtttukyRNmTLF05WkZbeJDRs26KabbtLAgQM1bNgw/ed//qc+/vhjrzhOnTql2bNna8iQISooKNDcuXNVV1cX9n771a9+pcLCQg0cOFDf+ta3dODAAb/Lffjhh5o9e7auuuoqDRgwQOPGjdPu3bu9lnHv02PHjumOO+7Q4MGDdd111+mJJ55QU1OT17LvvPOOJk6cqIEDB2r48OFatWqVmpubW5Ub6HOVpM2bN3vtnwceeEAnTpzwev/Zs2e1YMECDRs2TIMHD9b06dN18OBB9e3bVy+++KJnuXnz5mnEiBH605/+pAkTJugrX/mKlixZIknatm2bbrvtNl111VUaPHiwxo8fr9/97ncBY3366ad13XXX6YorrtAdd9yh2tpa1dbW6gc/+IGuvPJKXXvttVq9enUYnw4AANbiMQ0AAFF68cUX1b17d5WUlOhLX/qSunbtqr/+9a8RrWPLli3q1auXHnroITU0NGjJkiW655579NJLL3meuv/mN7/RI488opEjR+onP/mJ2rdvr3feeUcVFRWe9VRUVOg73/mO8vPzdf78eb3yyiu68847tWbNGo0YMUL9+/fX/PnztXDhQpWWlmrgwIGSpC9/+cuSpGXLlumZZ57Rrbfeqrlz56qmpkYrVqzQkSNH9Nvf/lbJycmSLnRH+etf/6pZs2bp0ksv1fbt27Vo0aKwtnXjxo169NFH9a1vfUs33HCDjh8/rlmzZumzzz7zWq6qqkq33HKLunTpogcffFCZmZnavn27ZsyYoVWrVun666/3Wv7ee+/Vt771LX3ve9/Tyy+/rJUrVyonJ0ff/va3JV1Imnz3u9/VJZdcorKyMqWlpemXv/ylqqqq/Mbp73PdsGGD5s+frxtvvFGzZ8/WiRMntHz5cv3lL3/Riy++qA4dOkiSfvjDH2rHjh2aMWOGBgwYoD/+8Y+aM2eO33Lq6uo0a9Ys3X777br//vt10UUXSbqQfBk9erTuuOMOuVwuvfnmmyotLdXnn3+u//iP//Bax3//93+rT58+WrBggT766CM9+uijmjt3rj777DONGDFCxcXF2rFjhx577DH17dtX1157bVifFQAAViABAQBAlJqbm/X00097Ko7RSElJ0VNPPaXU1FTPaz/4wQ/0l7/8RUOGDFF9fb2WL1+uUaNG6YknnvAsM3z4cK/1lJSUeH5vamrSV7/6VR07dkzr16/XiBEjlJ6e7kk29O7d26s7SXl5udauXavp06fr3nvv9bzes2dPTZw4Ua+88opGjhyp/fv363//93+1fPlyffOb3/TEMXXqVFVXVwfdzqamJj3xxBO65ppr9OMf/9jzemZmpu6//36vZVeuXKnm5mb95je/UefOnT3lVFdX6/HHH2+VgJgyZYon2fC1r31Nr7/+urZt2+Z57Ve/+pXOnj2rp59+Wjk5OZ7lrrvuOr+x+n6ujY2N+tnPfqahQ4fqpz/9qWe5Xr16adKkSXrhhRd022236R//+Ie2bt2q2bNna9q0aZKkq6++Wp9//rl+85vftCrnzJkzWrp0qUaOHOn1+l133eW134YOHaqTJ09q/fr1rRIQaWlp+vnPf+5JVh05ckTPPvusfvCDH+iee+6RJA0dOlS7d+/Wjh07SEAAAGxFFwwAAKI0fPhwQ8kH6UJFuGXy4fLLL5ckz9P5gwcP6syZM7rllluCrufw4cO688479bWvfU3/+q//qv79+2v//v06evRoyBheffVVNTU16aabbtL58+c9P1dccYU6dOigN998U5L0pz/9ScnJyfrGN74YMlJ3AAAgAElEQVTh9X53MiKY6upqVVdX64YbbvB6/Rvf+Ear8RX27t2ra6+9Vh07dvSK55prrtFf//pX1dfXey3/9a9/3evvPn36qLKy0vP3n/70J11xxRWe5IMktW/fPuBMJr6f69GjR1VbW6ubbrrJa7mCggLl5eV59s9f/vIXNTc3q6ioyGu50aNH+y0nNTXVbxLk2LFjmjVrloYPH67+/furf//+2rhxo9/P8mtf+5rX/rvsssskSddcc43ntZSUFF166aUBW3wAABArtIAAACBKXbt2NbyOiy++2Otv9yCEX3zxhSR5xmDo1q1bwHVUVVXpe9/7nr785S+rtLRUubm5Sk5O1s9+9jP94x//CBlDbW2tJGnUqFF+/++O4eTJk+rUqZNXwkSSunTpErKMkydPSpIuueQSr9dTUlKUkZHh9dqpU6e0adMmbdq0ye+6Tp8+rfT0dM/f/vbhuXPnvMru06dPq/UEitv3c3Vvf1ZWVqtlL7nkEs//3eNB+K43UDmdO3f2dG1x++yzz3T77bfroosu0uzZs9WjRw+lpqZq/fr1euGFF1qto1OnTl5/uz8b332SmprqOaYAALALCQgAAEzUrl07SVJDQ4PX676DOYbL3QWhpqbG0zrC1969e1VXV6cVK1Z4JSo+//zzsMpwJwCefvrpVhXalv/PysrSp59+qoaGBq8khDuBEYy78v7RRx95vX7+/PlW+yYjI0NXXnmlpxuDr+zs7JDl+ZbtL8Zw4nbHI/0zidLSRx99pP79+0v6Z+KitrZW7du3D1lOUlJSq9feeustVVRUaN26dSooKPC8/txzz4UVKwAATkYXDAAATJSbmytJXjNZnD9/Xvv27YtqfYMHD1b79u31X//1XwGXOXv2rCR5NcU/evSoDh486LWcu3WFb2Li6quvlsvlUmVlpQYOHNjqp3v37p5YGhsbtWvXLq/3b9u2LeR2dOvWTTk5OXrppZe8Xt+1a5fOnz/v9drw4cP13nvvqU+fPn7jiXSqysGDB+vPf/6zVxeEM2fO6OWXXw7r/b169dIll1yi7du3e71+8OBBVVRUaOjQoZKkgQMHKikpSTt27PBazvfvYNyfZcsEzyeffOI14wkAAPGKFhAAAJho4MCB6tGjh5YsWaKmpialpaXp+eefb9UiIlzp6emaPXu2Fi1apBkzZmjs2LHq0KGD3n33XbVr10633nqrZxyAkpISTZkyRSdPnvTMBNFyqsmePXsqJSVFL7zwgi6++GKlpaWpV69e6tGjh6ZNm6ZFixbp6NGjGjp0qNq1a6eqqirt379fN998s6666ipdffXVuvLKKzV//nydPn3aMwuGv2lDfblcLk2fPl2lpaV68MEHdeONN+r48eNavXq1V3cKSZo5c6ZuvvlmTZo0SZMnT1ZeXp4+/fRTvf/++/rwww+9BrEMx3e/+109//zzuv322zVjxgzPLBjhjt+RnJysmTNnav78+ZozZ45uuukmzywhPXv29Ax22bt3b40ZM0Y/+9nP1NzcrP79++u1117TK6+84tkHoQwZMkTp6el6+OGHNXPmTJ05c0ZPPvmkOnfuHNF0pwAAOBEJCAAATJSSkqKf//znWrhwoR588EFdfPHF+u53v6srrrjCaxaLSEyePFmXXHKJ1q5dqzlz5iglJUW9e/f2zHLQp08fLV26VI8//rjuvvtu9ejRQ7Nnz9bevXv1xhtveNbTuXNn/fCHP9SaNWt06623qrGxUb/+9a81bNgwzZo1S5dddpmef/55Pf/880pKSlK3bt301a9+VT179vSs44knntAjjzyixx57TMnJySosLNQPf/hDTZ8+PeR23HzzzTpz5oyeffZZbd26VX369NFjjz2muXPnei2Xm5urF154QStXrtTy5ct1+vRpZWRkqE+fPho/fnzE+y8zM1PPPvusFi9erJKSEmVkZGjChAlqbGzUqlWrwlpHcXGxLrroIq1du1b33HOPOnTooBEjRuiBBx7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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The general clusterings for each method can be observed in the truncated dendrograms. These truncated plots more accurately represent how the clustering would look for our purposes, as we will definitely not choose a model with more than, say, twenty clusters.\n",
        "* One of the most organized dendrogram is the single linkage. The hierarchies are quite clear here.\n",
        "* The average linkage method still offers the best cophenet correlation, though centroid is a close second.\n",
        "* The Ward method has the lowest cophenet correlation. Additionally, the dendrogram structure is noticably different from the rest.\n",
        "\n",
        "Let's look closer at the dendrogram with Euclidean distance and average linkage."
      ],
      "metadata": {
        "id": "zEQWH8MyIWXZ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "z=linkage(attr,metric='euclidean',method='average')\n",
        "\n",
        "plt.figure(figsize=(18,15))\n",
        "\n",
        "# full dendrogram\n",
        "plt.subplot(3,1,1)\n",
        "plt.title('Dendrogram of Clustering with Average Linkage Method',fontsize=20)\n",
        "dendrogram(z)\n",
        "plt.axhline(y=8,\n",
        "            color='black',\n",
        "            linestyle='dashed',\n",
        "            linewidth=3,\n",
        "            label='8 clusters')\n",
        "plt.axhline(y=6,\n",
        "            color='black',\n",
        "            linestyle='dotted',\n",
        "            linewidth=3,\n",
        "            label='14 clusters')\n",
        "plt.xticks([])\n",
        "plt.legend(loc='upper right',\n",
        "           prop={'size':15})\n",
        "\n",
        "# truncated 8\n",
        "plt.subplot(3,1,2)\n",
        "plt.title('8 clusters',fontsize=16)\n",
        "dendrogram(z,p=8,truncate_mode='lastp')\n",
        "plt.xticks([])\n",
        "\n",
        "# truncated 14\n",
        "plt.subplot(3,1,3)\n",
        "plt.title('14 clusters',fontsize=16)\n",
        "dendrogram(z,p=14,truncate_mode='lastp')\n",
        "plt.xticks([])\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 802
        },
        "id": "S6OZxKXYKPiB",
        "outputId": "b6ef3f68-8032-4418-c266-61b4c9aabb67"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1296x1080 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Comparing k values\n",
        "\n",
        "We start with eight clusters."
      ],
      "metadata": {
        "id": "tqqCJy-6SJ3O"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 8 clusters\n",
        "ag8=AgglomerativeClustering(n_clusters=8,\n",
        "                            metric='euclidean',\n",
        "                            linkage='average')\n",
        "ag8.fit(attr)\n",
        "\n",
        "pd.Series(ag8.labels_).value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "giBhqiAdQg68",
        "outputId": "753b8f9f-70d6-4099-b01e-210725fc0ab5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2    330\n",
              "0      3\n",
              "1      2\n",
              "5      1\n",
              "7      1\n",
              "6      1\n",
              "3      1\n",
              "4      1\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "It seems that most records are sorted into a single group. Is this true of model with a different number of clusters?"
      ],
      "metadata": {
        "id": "T3GdRO09KJx_"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# plot of biggest cluster size\n",
        "cl_size=[]\n",
        "for k in range(2,19):\n",
        "  a=AgglomerativeClustering(\n",
        "      n_clusters=k,\n",
        "      metric='euclidean',\n",
        "      linkage='average'\n",
        "  ).fit(attr).labels_\n",
        "  cl_size.append(\n",
        "      pd.Series(a)\n",
        "      .value_counts(sort=True)\n",
        "      .reset_index(drop=True)[0])\n",
        "\n",
        "plt.figure(figsize=(8,5))\n",
        "plt.title('Largest Cluster Size by Number of Clusters',fontsize=16)\n",
        "plt.plot(np.arange(2,19),cl_size,marker='D')\n",
        "plt.xlabel('Number of Clusters')\n",
        "plt.ylabel('Size of Largest Cluster');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 361
        },
        "id": "-dqQH8hOHbLp",
        "outputId": "7a46ce0c-42e9-4a45-f318-a77e5b0ebf99"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "At best, hierarchical clustering is throwing 90% of the data into one group, and usually even more. This problem persists for every reasonably small choice of k. That is to say, there can be very little in the way of trends in these groupings, as one group is too large and the rest are too small."
      ],
      "metadata": {
        "id": "HEBMWTX7LSAs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# 14 clusters\n",
        "ag14=AgglomerativeClustering(n_clusters=14,\n",
        "                            metric='euclidean',\n",
        "                            linkage='average')\n",
        "ag14.fit(attr)\n",
        "\n",
        "pd.Series(ag14.labels_).value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DP7Oo7WWK5Mo",
        "outputId": "f881da6c-3a99-41ab-ad1a-61c71060c71d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2     307\n",
              "4       9\n",
              "0       7\n",
              "1       5\n",
              "5       2\n",
              "10      2\n",
              "11      1\n",
              "8       1\n",
              "7       1\n",
              "13      1\n",
              "6       1\n",
              "3       1\n",
              "12      1\n",
              "9       1\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 54
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Our other candidate, k=14, does not fare much better. About 90% of the data is sorted into one cluster. The majority of the other clusters are singleton sets or have two records. Let's look for trends in only the clusters with more."
      ],
      "metadata": {
        "id": "m6kN0VwEP2z4"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data['ag_group']=ag14.labels_"
      ],
      "metadata": {
        "id": "5eWdvXC3QYPR"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# identifying somewhat bigger clusters\n",
        "idx=[]\n",
        "vc=pd.Series(ag14.labels_).value_counts().to_dict()\n",
        "for key in vc.keys():\n",
        "  if vc[key]>2:\n",
        "    idx.append(key)\n",
        "\n",
        "data_cut=data.query('ag_group in @idx')"
      ],
      "metadata": {
        "id": "jPBRcRXRSKdD"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "We have cut out records from the data set that don't land in one of the four biggest clusters obtained by agglomerative clustering."
      ],
      "metadata": {
        "id": "vJ4AUnAXWLXJ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# boxplots\n",
        "for col in attr.columns:\n",
        "  plt.figure(figsize=(8,5))\n",
        "  plt.title(str(col)+' by Cluster',fontsize=20)\n",
        "  sns.boxplot(data=data_cut.drop('km_group',axis=1),\n",
        "              x='ag_group',\n",
        "              y=col,\n",
        "              showfliers=False)\n",
        "  plt.xlabel('Cluster')\n",
        "  plt.show()\n",
        "  print('')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "-nPBx-WPQgoG",
        "outputId": "81785d1d-7473-4611-982c-ee8f1d9d0ce9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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279+vpKQkJSYmqnLlynZts1WrVlq2bJn27dunFi1a2K5TYDabNXHixEL/2NeuXVudOnXSpk2bJOmWpg7yjBgxQrm5uZo5c6b69u2r8PBwhYWFqWrVqjp37py+++47uw9Ifeyxx/TRRx9p9uzZOnz4sBo2bKgTJ05o27Zt6tKli9atW5dv/Ny5c/X1118rIiJCdevWVZUqVfTzzz9r69at8vHxyfd8/vCHP8hoNGratGk6cuSI7XfVyJEjJUnjxo3TyZMn9e677+rzzz9XixYtVLNmTZ09e1ZHjx7V/v37NW3aNAUHB9/yawT3QCm4iT179uj06dP5Tt0xGAw6efJkoUeKo3QaNGiQFi5cqDNnzhS6Pjo6Wo0aNdK8efO0c+dOJSYmqkqVKqpVq5a6deumHj165Bvfr18/JScna9WqVZo7d65yc3PVunXrEi0FwcHBWr58uebOnasNGzZo/vz5qlixourUqaMhQ4bk24PVrFkzLVu2TB988IG++uorbd68WTVq1NDDDz+skSNH6q677nJq1kaNGik+Pl7z5s3Tli1btHz5chmNRgUEBOjee+/Vs88+qxo1ati9vbp162rChAl666239Omnn+r69eu69957NWrUKHXo0OGmX/fYY49p06ZNCgsL+93TJaNHj1aPHj20cOFC7dy5U8uXL9f169fl6+urRo0aaejQoYqOji52O/7+/po/f76mTp2qb7/9Vt9++63CwsL08ccf6/Tp0wVKQUxMjHx8fLR3717t2rVLJpNJgYGBiomJ0eDBg/NNezZs2FBvvPGGPv74Yy1cuNC21yivFFSrVk3/+c9/tGTJEiUkJGj9+vW6du2aatasqfr16+ull16y6/gEuC+DxWKxuDpEaREZGalZs2YpJCREW7Zs0YcffqgFCxYU+TWhoaH5DjTct2+f/v73v9suGXr+/Hl17txZe/bscXp+AIWbMWOG3nvvPU2ePNkhBwsC7opjCm4iPDxcJ0+e1Ndff21btm/fPhXXocLCwnT16lXbXPSnn36q7t27OzUrgJu7dOmSPv30U/n6+tp9+h5QXrGnQNLkyZO1fv16nTt3TjVq1JCvr69WrVqlffv26c0331R2drZycnIUHBysWbNmyWg0avTo0dq3b5/S0tJUq1YthYSE2M533717t8aPH5/vlETO8wVK1pYtW3Tw4EFt3rxZ+/fvV2xsrIYMGeLqWECpRikA4JbGjh2rFStWqGbNmnrsscf017/+1WkHVQLuglIAAAAkcUwBAACwohQAAABJXKdAkpSZeVlmM7MoAAD3ZjQaVKNG1ZuupxRIMpstlAIAQLnH9AEAAJBEKQAAAFalavogMzNTL774ok6dOiUvLy/Vr19fEydOlJ+fX75xY8eO1Y4dO2zXTO/evbueeeYZV0QGAMBtlKrrFGRlZenHH39UmzZtJElxcXHKzs7Wa6+9lm/c2LFjFRYWpieffNIhj5uRcYljCgAAbs9oNMjf/+a3Di9V0we+vr62QiBJzZs3d9l96wEAKG9KVSn4NbPZrEWLFikyMrLQ9fPmzVOvXr00cuRIHT16tITTAQDgfkrV9MGvTZgwQWlpaXrvvfcKXK88LS1NAQEBMhqN+u9//6vp06drw4YN8vDwcFFaAADKvlJZCuLi4vTjjz9q1qxZ8vLyKnZ8mzZttHz5ctWpU+d3PR7HFAAAyoPijikoVWcfSNK0adN04MABzZkz56aFIC0tTYGBgZKkbdu2yWg02j4HALi/7du3KjHxS4dvNzs7S5Lk4+Pr8G1LUvv2ndSuXUenbNsRSlUpOHLkiGbPnq0GDRpowIABkqS6detq5syZio6O1pw5cxQYGKjY2FhlZGTIYDCoWrVq+uCDD1ShQql6KgCAMig7O1uS80pBaVcqpw9KGtMHAABJioubJEmKjX3VxUmco0ydkggAAFyHUgAAACRRCgAAgBWlAAAASKIUAAAAK0oBAACQRCkAAABWlAIAACCJUgAAAKwoBQAAQBKlAAAAWFEKAACAJEoBAACwohQAAABJlAIAAGBFKQAAAJIoBQAAwIpSAAAAJFEKAACAFaUAAABIohQAAAArSgEAAJBEKQAAAFYVXB0gT2Zmpl588UWdOnVKXl5eql+/viZOnCg/P798465cuaKXXnpJBw8elIeHh2JjY/Xggw+6KDUAAO6j1OwpMBgMGjp0qNatW6eVK1cqODhYb731VoFxH330kapVq6YvvvhCs2bN0iuvvKLLly+7IDEAAO6l1JQCX19ftWnTxvZ58+bNlZycXGDcmjVr1L9/f0lSgwYNFBYWpq1bt5ZYTgAA3FWpKQW/ZjabtWjRIkVGRhZYl5ycrDp16tg+DwoKUmpqaknGAwDALZWaYwp+bdKkSapSpYqefPLJEnk8f/9qJfI4AIDSzdPTQ5IUEODt4iSuUepKQVxcnE6ePKlZs2bJaCy4I6N27do6c+aM7QDElJSUfNMOv0dGxiWZzZbb2gYAoOzLyTFJktLTL7o4iXMYjYYi3wiXqumDadOm6cCBA5o5c6a8vLwKHdO9e3ctXrxYknTixAnt379fHTp0KMmYAAC4pVJTCo4cOaLZs2fr7NmzGjBggKKjozVq1ChJUnR0tNLS0iRJTz/9tC5cuKAuXbroz3/+syZOnKhq1dj9DwDA7So10wf33HOPfvzxx0LXxcfH2z6uUqWK3n333ZKKBQBAuVFq9hQAAADXohQAAABJlAIAAGBFKQAAAJIoBQAAwIpSAAAAJFEKAACAlcFisZT76/tymWMAcI6FC/+tpKSTro5ht1OnbmStV6++i5PcmuDg+oqJGVTsuOIuc1xqLl4EAHA/SUkndfynw6rp4eHqKHapaDZLki4ePeLiJPY7ZzI5bFuUAgCAU9X08FC0t6+rY7it+ItZDtsWxxQAAABJlAIAAGBFKQAAAJIoBQAAwIpSAAAAJFEKAACAFaUAAABIohQAAAArLl4EAHCa7Owsnc/NdegFdpDfudxcmbMd8/qypwAAAEhiTwEAwIl8fHxlPJfOZY6dKP5ilrx9HPP6sqcAAABIohQAAACrUlUK4uLiFBkZqdDQUP3000+FjpkxY4buv/9+RUdHKzo6WhMmTCjhlAAAuKdSdUxB586dNWjQID3xxBNFjuvdu7diY2NLKBUAAOVDqSoFERERro4AAEC5VapKgb1WrVqlxMREBQQE6Nlnn1V4ePhtbc/fv5qDkgEAfs3T08PVEcoFT08PBQR43/Z2ylwpGDBggEaMGCFPT09t375dI0eO1OrVq1WjRo3fvc2MjEsymy0OTAkAkKScHJOrI5QLOTkmpadfLHac0Wgo8o1wqTrQ0B4BAQHy9PSUJLVr105BQUE6cuSIi1MBAFD2lblSkJaWZvv4hx9+0JkzZ3TnnXe6MBEAAO6hVE0fTJ48WevXr9e5c+c0ePBg+fr6atWqVRo2bJjGjBmj++67T9OmTdPBgwdlNBrl6empqVOnKiAgwNXRAQAo8wwWi6XcT6ZzTAEAOEdc3CRdPHqEyxw7UfzFLHk3vEexsa8WO9btjikAAADOQSkAAACSKAUAAMCKUgAAACRRCgAAgBWlAAAASKIUAAAAK0oBAACQRCkAAABWlAIAACCJUgAAAKwoBQAAQBKlAAAAWFEKAACAJEoBAACwohQAAABJlAIAAGBFKQAAAJIoBQAAwIpSAAAAJFEKAACAFaUAAABIKmWlIC4uTpGRkQoNDdVPP/1U6BiTyaQJEyYoKipKXbp00dKlS0s4JQAA7qlUlYLOnTtrwYIFqlOnzk3HrFy5UqdOndL69eu1ePFizZgxQ6dPny7BlAAAuKdSVQoiIiIUFBRU5JjVq1erX79+MhqN8vPzU1RUlNauXVtCCQEAcF+3VApSUlL0/fffOyuL3Rlq165t+zwoKEipqakuTAQAgHuoYM+g5ORkPf/88zp8+LAMBoP27NmjtWvXatu2bZoyZYqzMzqdv381V0cAALfk6enh6gjlgqenhwICvG97O3aVgnHjxumBBx7QwoUL1aZNG0lSu3btFBcXd9sBblVQUJCSk5PVtGlTSQX3HPweGRmXZDZbHBEPAPArOTkmV0coF3JyTEpPv1jsOKPRUOQbYbumD/bv36/hw4fLaDTKYDBIkry9vXXxYvEBHK179+5aunSpzGazzp8/rw0bNqhbt24lngMAAHdjVynw9/fXyZMn8y37+eefiz0o8FZNnjxZHTt2VGpqqgYPHqyHH35YkjRs2DDt379fkhQdHa26deuqa9euevzxxzVq1CgFBwc7NAcAAOWRXdMHQ4YM0YgRIzR8+HDl5uYqISFBs2fP1rBhwxwa5pVXXtErr7xSYPmHH35o+9jDw0MTJkxw6OMCAAA7S0Hfvn3l6+urxYsXKygoSCtWrNBf/vIXRUVFOTsfAAAoIXaVAkmKioqiBAAA4MbsLgXfffedDh06pF9++SXf8hEjRjg8FAAAKHl2lYJJkyZpzZo1ioiIUMWKFW3L885EAAAAZZ9dpWDlypVauXKlAgMDnZ0HAAC4iF2nJN5xxx3y8vJydhYAAOBCdu0pmDJlil599VU9/PDDqlmzZr51rVq1ckowAABQsuwqBQcPHtTWrVv17bffqlKlSrblBoNBW7ZscVY2AABQguwqBe+8845mzZqltm3bOjsPAABwEbuOKahcubIiIiKcnQUAALiQXaVgzJgxeu2115Seni6z2ZzvPwAA4B7smj74+9//LklavHixbZnFYpHBYNAPP/zgnGQAALdwzmRS/MUsV8ewyy/WN7tVjHa9Zy4VzplM8nbQtuwqBRs3bnTQwwEAypPg4PqujnBLMk/duCNwYL2yk9tbjnudDRaLxWLvYLPZrHPnzqlmzZoylqEWVZyMjEsym+1+GQAALrZ9+1YlJn7p8O2espaCek4qBe3bd1K7dh2dsm17GI0G+ftXu/l6ezZy6dIlvfjii2ratKk6duyopk2bKjY2VhcvXnRYUAAAXM3Hx0c+Pj6ujuEydu0pGDt2rC5fvqznn39ederU0ZkzZ/TOO++ocuXKiouLK4mcTsWeAgBAeVDcngK7SkG7du20YcMGVa5c2bbs8uXL6tKli3bs2OGYpC5EKQAAlAcOmT6oWLGizp8/n29ZZmYm90MAAMCN2HX2Qd++fTVkyBD96U9/Uu3atZWcnKxPPvlEjz/+uLPzAQCAEmLX9IHFYtFnn32mhIQEnT17VrVq1dLDDz+svn37ymAwlEROp2L6AABQHjjkmAJ3RykAAJQHDjmmYPLkydq9e3e+Zbt379aUKVNuLx0AACg17CoFCQkJCgsLy7csLCxMCQkJTgkFAABKnl0HGhoMBv12lsFkMjn8hkjHjx/X2LFjlZWVJV9fX8XFxalBgwb5xsyYMUMLFy5UrVq1JEktWrTQ+PHjHZoDAIDyyK49BREREfrnP/9pKwFms1kzZsxw+O2Ux48fr5iYGK1bt04xMTEaN25coeN69+6t+Ph4xcfHUwgAAHAQu0rByy+/rB07dqh9+/bq27evOnTooB07dujVV191WJCMjAwdOnRIPXv2lCT17NlThw4dKnB9BAAA4Bx2TR/ccccdWrFihfbu3avU1FQFBQWpadOmDr0pUkpKigIDA+Xh4SFJ8vDwUK1atZSSkiI/P798Y1etWqXExEQFBATo2WefVXh4uMNyAABQXtlVCiTJaDQqPDw833EEZrO5xO+WOGDAAI0YMUKenp7avn27Ro4cqdWrV6tGjRq/e5tFnZ4BAEB5YVcpOHjwoCZOnKgff/xR165dk3TjgkYGg0E//PCDQ4IEBQUpLS1NJpNJHh4eMplMOnv2rIKCgvKNCwgIsH3crl07BQUF6ciRI2rduvXvfmyuUwAAKA+Ku06BXaVg7NixevDBB/Xaa6+pUqVKDgv3a/7+/mrcuLESEhIUHR2thIQENW7cuMDUQVpamgIDAyVJP/zwg86cOaM777zTKZkAAChP7LqiYYsWLbRr1y6nX9L46NGjGjt2rC5cuKDq1asrLi5Od911l4YNG6YxY8bovvvuU2xsrA4ePCij0ShPT0+NGTNGnTp1uq3HZU8BAKA8cMhljmNjY9WzZ0916NDBoeFKC0oBAKA8cOw2wL8AABPKSURBVMj0wbVr1zR69Gi1bNlSNWvWzLdu6tSpt5cQAACUCnaVgrvvvlt33323s7MAAAAX4i6JYvoAAFA+3Nb0QVJSUrEPEBwcfOupAKAU2L59qxITv3T4drOzsyRJPj6+Dt92+/ad1K5dR4dvF5CKKQVdunQp9GZIeRx5nQIAcBfZ2dmSnFMKAGdi+kBMHwBwrLi4SZKk2FjH3R8GcITipg9K9hrFAACg1KIUAAAASZQCAABgRSkAAACS7CwFzzzzTKHLR48e7dAwAADAdewqBTt37ix0+TfffOPQMAAAwHWKvE7B9OnTJUk5OTm2j/MkJSWpdu3azksGAABKVJGlIDU1VZJksVhsH+cJCgrSs88+67xkAACgRBVZCl5//XVJUnh4uB5//PESCQQAAFzD7isaHj16VGvXrlVGRobGjRunY8eO6fr162rUqJGzMzodVzQESq+FC/+tpKSTro5xS06dupG3Xr36Lk5iv+Dg+oqJGeTqGHCy27ohUp41a9ZowoQJ6tq1qxISEjRu3DhdvnxZb7/9tj755BNHZQWAApKSTuqnYz/Kw8fL1VHsZvYwSZKOZhx3cRL7mLKvuzoCSgm7SsG7776rTz75RI0aNdKaNWskSY0aNdLhw4edGg4o7criXfaksnenPQ8fL/l05MBmZ8nemuzqCCgl7CoF58+fV2hoqKQbd0bM+3/ex0Bp56xd0NnZWbY74jnStWtXrdt3/LYladWqeKeUGXZBA2WbXaWgSZMmio+PV+/evW3LVq1apaZNmzotGOBIBw7sVVpqirw8ykaRNerGMS7m61ecsv3M9CvKTE8tfuAtuG6y2PZwACib7CoFL7/8sp5++mktW7ZMv/zyi55++mkdP35cH3/8sbPzAQ7j5WHQHdXs+pHH75B6KdfVEQDcJrt+QzZs2FBr1qzR5s2b9cADDygoKEgPPPCAqlat6ux8gEP4+Piq4pVzGtzUz9VR3Na8fedVyQnHQGRnZyk36xrz3k6Um3VN2RXYywM7S4EkVa5cWQ899JAzswAAABcqshQ89dRTRR5MaDAY9K9//cthYY4fP66xY8cqKytLvr6+iouLU4MGDfKNMZlMmjx5srZt2yaDwaDhw4erX79+DssAoHTx8fFVWkaaq2PcEvPVG6ckGit5uDiJfQwGg9POdEHZUmQpeOSRRwpdnpaWpv/85z+6evWqQ8OMHz9eMTExio6OVnx8vMaNG6d///vf+casXLlSp06d0vr165WVlaXevXvr/vvvV926dR2apaQ465Q2ybmntZW1U9pQdgUHl50LAOWxXbzIv4xk9y+brzMcr8hS8Nt34JmZmZozZ46WLFmihx56SKNGjXJYkIyMDB06dEjz5s2TJPXs2VOTJk3S+fPn5ef3v3ng1atXq1+/fjIajfLz81NUVJTWrl2roUOHOiyLu8g7nY13ADekXsrVvH3nXR3DLpeumyVJ1bzsupFpqZB6KVcNnLDdsniKY1zcJElSbOyrLk4C3Bq7jim4dOmS5s6dqwULFuiBBx7QihUrVK9ePYcGSUlJUWBgoDw8buxu8/DwUK1atZSSkpKvFKSkpOS7O2NQUFCBmzWVJe3adXTaO25+Mf1PWXsXdNb6TrPmHWUndwOVvdcZQH5FloKrV6/qX//6lz7++GO1adNGCxcu1D333FNS2UpMUdeBLss8PW8UrIAAbxcncb2//MVxe7V+bdOmTfriiy8cvt28Q3nyvoeO1qVLF0VGRjpl2+DfHsquIktBZGSkzGazhg4dqrCwMJ07d07nzp3LN+b+++93SJCgoCClpaXJZDLJw8NDJpNJZ8+eVVBQUIFxycnJtgsn/XbPwe/hrjdEysm5cbBTevpFFydxXxcuXLG9zo5UvbqPJDll29KN3PxcOA//9lBa3dYNkSpVqiRJWrRoUaHrDQaDNm7ceBvx/sff31+NGzdWQkKCoqOjlZCQoMaNG+ebOpCk7t27a+nSperatauysrK0YcMGLViwwCEZgFvlzOkfAChpRZaCTZs2lVQOSdI//vEPjR07Vu+//76qV6+uuLg4SdKwYcM0ZswY3XfffYqOjtbevXvVtWtXSdKoUaMUHBxcojkBAHBHBovF4n77zW+Ru04fcKAhUDRnnRJsOyWxnuMPvOR0YNyO25o+AADcOh8fH1dHAH4XSgGAcotjQoD8ys6VUQAAgFNRCgAAgCRKAQAAsKIUAAAASZQCAABgRSkAAACSKAUAAMCKUgAAACRRCgAAgBWlAAAASOKGSJLsuyHSwoX/VlLSyRJK5BjOvCmLswQH11dMzCBXxwAAt8QNkRwkKemkfjzyszwq+bo6it3MJg9J0s9J51ycxD6mq1mujgAA5Rql4BZ4VPJVlfqdXR3Dbf1ycqOrIwBAucYxBQAAQBKlAAAAWFEKAACAJEoBAACwohQAAABJlAIAAGBFKQAAAJIoBQAAwKpUXLzoypUreumll3Tw4EF5eHgoNjZWDz74YIFxO3fu1PDhw9WgQQNJkpeXl5YuXVoiGbOzs2S6msUFdpzIdDVL2dml4kcSAMqlUvEb+KOPPlK1atX0xRdf6MSJE3riiSe0fv16Va1atcDYhg0bavny5S5ICQCAeysVpWDNmjV64403JEkNGjRQWFiYtm7dqh49erg42f/4+Pgq/UIulzl2ol9ObpSPT9m5twQAuJtSUQqSk5NVp04d2+dBQUFKTU0tdOyJEyfUp08fVahQQTExMerTp89tP35Rd4zK4+npcduPg+J5enooIMDb1TEAoFwqkVLQp08fJScnF7pux44ddm+nSZMm+vLLL+Xt7a2kpCQNHjxYgYGBatu27W3ls+fWyTk5ptt6DNgnJ8ek9PSLro4BAG6pVNw6ecWKFUWur127ts6cOSM/Pz9JUkpKitq0aVNgXLVq/3siwcHBioqK0u7du2+7FAAAgFJySmL37t21ePFiSTemB/bv368OHToUGHf27FlZLDfe0WdlZWn79u1q1KhRiWYFAMBdlYpjCp5++mmNHTtWXbp0kdFo1MSJE217BaZPn65atWpp4MCBWr9+vRYtWqQKFSrIZDKpd+/eioqKcnF6AADcg8GS99a7HLPnmIK4uEn6OekcZx840S8nN+ru4JqKjX3V1VEAwC0Vd0xBqZg+AAAArkcpAAAAkigFAADAilIAAAAkUQoAAIAVpQAAAEiiFAAAACtKAQAAkEQpAAAAVpQCAAAgiVIAAACsKAUAAEASpQAAAFhRCgAAgCRKAQAAsKIUAAAASZQCAABgRSkAAACSKAUAAMCKUgAAACRRCgAAgFUFVwcoS0xXs/TLyY2ujmE3c+5VSZKxQiUXJ7GP6WqWpJqujgEA5VapKAXx8fGaO3eujh49qr///e968sknbzp2yZIl+vDDD2WxWNSxY0e98sorMhqdv8MjOLi+0x/D0U6dOilJqhdcVv7Q1iyTrzMAuAuDxWKxuDrETz/9JKPRqDlz5qhp06Y3LQVJSUl64okn9N///le+vr4aNmyYevXqpd69e9/W42dkXJLZ7PKXweHi4iZJkmJjX3VxEgBAaWA0GuTvX+3m60swy02FhITo7rvvLvYd/7p16xQVFSU/Pz8ZjUb169dPq1evLqGUAAC4t1JRCuyVkpKi2rVr2z6vXbu2UlJSXJgIAAD3USLHFPTp00fJycmFrtuxY4c8PDxKIsZNFbUrpSzz9LzxugYEeLs4CQCgLCiRUrBixQqHbCcoKChfuUhOTlZQUNBtb9ddjynIyTFJktLTL7o4CQCgNCgTxxTYq1u3btqwYYPOnz8vs9mspUuXqkePHq6OBQCAWygVpSAhIUEdO3bU2rVrNX36dHXs2FE///yzJGn69OlatGiRJCk4OFgjR47U448/rq5du6pu3bp65JFHXBkdAAC3USpOSXQ1d50+4JREAMCvudX0AQAAcB5KAQAAkEQpAAAAVpQCAAAgiVIAAACsKAUAAEASpQAAAFhRCgAAgCRKAQAAsKIUAAAASZQCAABgRSkAAACSKAUAAMCKUgAAACRRCgAAgBWlAAAASKIUAAAAK0oBAACQRCkAAABWlAIAACCJUgAAAKwoBQAAQJJksFgsFleHcLWMjEsym13zMmzfvlWJiV86ZdunTp2UJNWrV9/h227fvpPatevo8O0CAJzHaDTI37/azdeXYJabio+PV69evXTvvfdq/vz5Nx23c+dONWvWTNHR0YqOjla/fv1KMGXZ4+PjIx8fH1fHAACUERVcHUCSGjdurHfeeUdz5swpdmzDhg21fPnyEkhVMtq168g7bgBAqVAqSkFISIgkyWgsFTsuAAAol8rcX+ETJ06oT58+6tevn1asWOHqOAAAuI0S2VPQp08fJScnF7pux44d8vDwsGs7TZo00Zdffilvb28lJSVp8ODBCgwMVNu2bW8rX1EHXQAAUF6USClw1Dv6atX+98c7ODhYUVFR2r17922XAleefQAAQEkpE2cf2Ovs2bPKO4MyKytL27dvV6NGjVycCgAA91AqrlOQkJCgqVOn6sKFC/L09FTlypX18ccf6+6779b06dNVq1YtDRw4UPPnz9eiRYtUoUIFmUwm9e7dW0OHDr3tx2dPAQCgPChuT0GpKAWuRikAAJQHbjV9AAAAnIdSAAAAJFEKAACAVam4oqGrGY0GV0cAAMDpivt7x4GGAABAEtMHAADAilIAAAAkUQoAAIAVpQAAAEiiFAAAACtKAQAAkEQpAAAAVpQCAAAgiVIAAACsKAUAAEASpQAAAFhRCgAAgCRKgds6fvy4+vfvr27duql///46ceKEqyPBTnFxcYqMjFRoaKh++uknV8fBLcjMzNSwYcPUrVs39erVS6NHj9b58+ddHQu36L333iu3//4oBW5q/PjxiomJ0bp16xQTE6Nx48a5OhLs1LlzZy1YsEB16tRxdRTcIoPBoKFDh2rdunVauXKlgoOD9dZbb7k6Fm7BwYMH9f3335fbf3+UAjeUkZGhQ4cOqWfPnpKknj176tChQ7xjKSMiIiIUFBTk6hj4HXx9fdWmTRvb582bN1dycrILE+FWXL9+XRMnTtQ//vEPV0dxGUqBG0pJSVFgYKA8PDwkSR4eHqpVq5ZSUlJcnAwoP8xmsxYtWqTIyEhXR4Gdpk+frkceeUR169Z1dRSXoRQAgBNMmjRJVapU0ZNPPunqKLDDnj17dODAAcXExLg6iktRCtxQUFCQ0tLSZDKZJEkmk0lnz55llzRQQuLi4nTy5En985//lNHIr9my4Ntvv9XRo0fVuXNnRUZGKjU1VU8//bQSExNdHa1E8dPqhvz9/dW4cWMlJCRIkhISEtS4cWP5+fm5OBng/qZNm6YDBw5o5syZ8vLycnUc2Gn48OFKTEzUpk2btGnTJt1xxx366KOP1L59e1dHK1EGi8VicXUION7Ro0c1duxYXbhwQdWrV1dcXJzuuusuV8eCHSZPnqz169fr3LlzqlGjhnx9fbVq1SpXx4Idjhw5op49e6pBgwaqVKmSJKlu3bqaOXOmi5PhVkVGRmrWrFkKCQlxdZQSRSkAAACSmD4AAABWlAIAACCJUgAAAKwoBQAAQBKlAAAAWFEKANy2GTNm6P/+7/9cHQPAbaIUALDbypUr9eijjyo8PFzt27fX0KFD9d133zlk26dPn1ZoaKhyc3Mdsj0At66CqwMAKBvmzZunOXPmaMKECWrfvr08PT21bds2bdy4UVWqVHF1POXm5qpCBX6lAbeDPQUAinXx4kW9++67GjdunLp27aoqVarI09NTkZGRio2NzTd2586d6tixY75lkZGR2rFjhyRp3759evTRR9WiRQu1bdtWr7/+uiTZbhzUqlUrhYeHa8+ePZKkZcuWqUePHmrVqpWefvppnTlzxrbd0NBQLViwQF27dlXXrl2d9vyB8oJaDaBYe/bs0bVr19SlS5fb3taUKVM0aNAg9e7dW5cvX9aRI0ckSfPnz1fnzp317bff2t7xb9iwQbNnz9asWbNUv359zZkzRy+88II+/fRT2/Y2bNigJUuW2C4rDOD3Y08BgGJlZWWpRo0aDtk9X6FCBZ06dUrnz59X1apV1bx585uO/fTTTzV8+HA1bNhQFSpU0IgRI/TDDz/k21swfPhw+fr6UgoAB6AUACiWr6+vMjMzHXIQ4JQpU3TixAn16NFDjz32mDZv3nzTscnJyXrttdcUERGhiIgItW7dWhaLRWlpabYx3BIccBymDwAUKzw8XF5eXtqwYYO6d+9e5NjKlSvr6tWrts9NJpPOnz9v+7xBgwaaNm2azGaz1q9frzFjxmjnzp0yGAwFthUUFKQRI0bokUceuenjFfZ1AH4f9hQAKJa3t7fGjBmjiRMnasOGDbpy5YpycnL05ZdfaurUqfnG3nnnnbp27Zq2bNminJwcffDBB7p+/bptfXx8vM6fPy+j0ajq1atLkoxGo/z8/GQ0GpWUlGQbO2DAAM2ZM8d23MHFixe1Zs2aEnjGQPnEngIAdhkyZIhq1qyp999/X//3f/+nqlWrqkmTJhoxYoS2b99uG+ft7a3x48frlVdekclk0tChQ3XHHXfY1m/btk1vvPGGrl69qtq1a+udd96xHQ8wYsQIDRw4ULm5uZo7d666dOmiy5cv6/nnn9eZM2fk7e2ttm3bqkePHiX+/IHywGCxWCyuDgEAAFyP6QMAACCJUgAAAKwoBQAAQBKlAAAAWFEKAACAJEoBAACwohQAAABJlAIAAGBFKQAAAJKk/weN0/PqYjyPrwAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x360 with 1 Axes>"
            ],
            "image/png": 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OVne9li1b6m9/+5sWL16szz77zHH2wZsVAUn661//qjZt2ujTTz/VqlWrVFhYqKZNm+rFF1/Un//853KfgGf48OHq1auXPvroI61du1a+vr4aNGiQxo8ff9MdCaOiopScnFzu2YAiISEhWrZsmdavX681a9bohx9+UGpqqiwWi0JDQ9WnTx89+uijat++fZljPfbYY7Lb7Vq6dKlWrlypwMBA9ezZU+PHj9e4ceOKPbZOnTqaMGGCtm3bpt27dys5OVl169ZV06ZNNXXqVMesS5Fnn31WFy5cUGpqqnbt2iWr1aqBAwc6LkbUuXNn/etf/9LixYuVnp6unTt3ytvbWw0aNFCnTp2KHWYJOMvDfv0xR4DJFZ1JLzk5meOuq4iiiz5lZWUpPT1dfn5+RkcCahT2EQCus3HjRrVu3ZoSUIWsW7dOx48fV//+/SkBgBswIwCgSlq4cKFycnL0+eefy2q1as2aNWrUqJHRsYAahyIAoEoKDw+Xt7e3WrZsqYkTJ6pLly5GRwJqJIoAAAAmxj4CAACYGEUAAAATM+V5BM6f/002G1tEAAA1n8XioXr16t5wuSmLgM1mpwgAACA2DQAAYGoUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOrUicUSkxM1Pr163XixAl9/fXXatWqlSQpOjpaPj4+qlWrliRpwoQJioyMNDIqgGpoy5ZvlZ6+2eXj5ubmSJICA4NcPrYkde0apS5durllbKBKFYGePXtq2LBheuqpp0ose/fddx3FAACqktzcXEnuKwKAO1WpItCxY0ejIwCowbp06eaWNevExDckSZMmve7ysQF3q1JF4GYmTJggu92uDh066KWXXlJAQECFxwoO9nNhMgBm5+3tKUkKCfE3OAlQftWiCCxbtkyhoaHKz8/XjBkzNG3aNM2ePbvC42VlXeSiQwBcpqDAKkk6ezbP4CRASRaLx01XgKvFUQOhoaGSJB8fH8XFxWnXrl0GJwIAoGao8kXg0qVLysu71rLtdrvWrl2riIgIg1MBAFAzVKlNA9OnT9eGDRt07tw5jRgxQkFBQXr//fc1duxYWa1W2Ww2tWzZUlOmTDE6KgAANYKH3W433cZy9hEA4EocNYCqrEbsIwAAANyDIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxKpUEUhMTFR0dLTCw8O1f/9+x/2HDx/W4MGD1bt3bw0ePFgZGRnGhQQAoAapUkWgZ8+eWrZsmcLCwordP2XKFMXFxWn9+vWKi4vT5MmTDUoIAEDNUqWKQMeOHRUaGlrsvqysLO3du1cxMTGSpJiYGO3du1fZ2dlGRAQAoEapUkWgNCdPnlTDhg3l6ekpSfL09FSDBg108uRJg5MBAFD9eRkdwAjBwX5GRwBQg3h7X1tRCQnxNzgJUH5VvgiEhobq9OnTslqt8vT0lNVq1ZkzZ0psQiiPrKyLstnsLkwJwMwKCqySpLNn8wxOApRksXjcdAW4ym8aCA4OVkREhJKSkiRJSUlJioiIUP369Q1OBgBA9VelZgSmT5+uDRs26Ny5cxoxYoSCgoK0Zs0aTZ06VQkJCZo3b54CAgKUmJhodFQAAGoED7vdbro5cjYNAHClxMQ3JEmTJr1ucBKgpGq/aQAAALgPRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEvIwOYEZbtnyr9PTNLh83NzdHkhQYGOTysSWpa9codenSzS1jAwCMwYxADZKbm6vc3FyjYwAAqhFmBAzQpUs3t6xZJya+IUmaNOl1l48NAKiZmBEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOrNtcaiI6Olo+Pj2rVqiVJmjBhgiIjIw1OBQBA9VZtioAkvfvuu2rVqpXRMQAAqDHYNAAAgIlVqxmBCRMmyG63q0OHDnrppZcUEBBgdCQAAKq1alMEli1bptDQUOXn52vGjBmaNm2aZs+eXaGxgoP9XJyuavD29pQkhYT4G5wEMBc+e6jOqk0RCA0NlST5+PgoLi5Ozz77bIXHysq6KJvN7qpoVUZBgVWSdPZsnsFJAHPhs4eqzGLxuOkKcLXYR+DSpUvKy7v2AbPb7Vq7dq0iIiIMTgUAQPVXLWYEsrKyNHbsWFmtVtlsNrVs2VJTpkwxOhYAANVetSgCTZo00apVq4yOAQBAjVMtNg0AAAD3oAgAAGBi1WLTAABz+eyzj3Xs2BGjYzjt6NFrWRMT3zA4Sfk0adJMcXHDjI4Bg1EEAFQ5x44d0f5f/yvPQB+jozjF5nnt8MFDWYcNTuI8a26+0RFQRVAEAFRJnoE+CuzWyOgYNVbut5lGR0AVwT4CAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxMp1QqHc3Fylpqbq9OnTatiwobp3766goCB3ZQMAAG7mdBHYvXu3nnnmGbVo0UKNGjVSamqqZs6cqQULFqhdu3buzGgYzndeOTjfOQAYx+kiMHPmTE2ZMkUPP/yw4761a9dq+vTpWrFihVvCGe3YsSP674GD8qxdPWY9bFZPSdLBY+cMTuI865UcoyMAgKk5XQQyMjLUt2/fYvf17t1bU6ZMcXmoqsSzdpB8m/U0OkaNdelIitERAMDUnN5ZsFmzZlqzZk2x+9atW6cmTZq4PBQAAKgcTs8IvPrqqxo9erQ++eQTNWrUSCdOnNCRI0f0/vvvuzMfAABwI6eLQPv27bVx40Z98803OnPmjHr06KGoqCiOGgAAoBor1+GDgYGB6t+/v7uyAACASnbTIjBy5EgtWrRIkhQXFycPD49SH7ds2TLXJwMAAG530yIwYMAAx8+PP/6428NUNbm5ObJeyWHPdjeyXslRbm65JqYAAC5007/AsbGxjp9btGihe+65p8Rj9uzZ4/pUAACgUji9KjZixAjt2rWrxP3x8fHavn27S0NVFYGBQTp7oZDzCLjRpSMpCgxkh1MAMEqZRcBms8lutxf7r8jRo0fl6enp1oAAAMB9yiwCbdq0cewk2KZNm2LLLBaLRo8e7Z5kAADA7cosAikpKbLb7Xr66af16aefOu738PBQ/fr1Vbt2bbcGBAAA7lNmEQgLC5Mkpaamuj0MAACoXOU6bislJUU7duzQ+fPni+0r8Oabb7o82O8dPnxYCQkJysnJUVBQkBITE9W8eXO3vy4AADWZ0xcdmjt3rqZMmSKbzaZ169YpKChI6enpCggIcGc+hylTpiguLk7r169XXFycJk+eXCmvCwBATeZ0EVixYoUWL16sV199Vd7e3nr11Vf1/vvv6/jx4+7MJ0nKysrS3r17FRMTI0mKiYnR3r17lZ2d7fbXBgCgJnO6CFy4cEGtWrWSJHl7e6ugoEBt27bVjh073BauyMmTJ9WwYUPHoYqenp5q0KCBTp486fbXBgCgJnN6H4GmTZvqwIEDuuOOO3THHXfoH//4hwICAhQYGOjOfG4RHOzn1OO8vTlHQmXw9vZUSIi/0TFQhfDZqxx89iCVowi8+OKLysnJkSRNmDBBL7/8si5dulQp2+pDQ0N1+vRpWa1WeXp6ymq16syZMwoNDa3QeFlZF2Wz2ct8XEGBtULjo3wKCqw6ezbP6BioQvjsVQ4+e+ZgsXjcdAXY6SIQFRXl+Llt27bauHGjJKmgoOAPxHNOcHCwIiIilJSUpP79+yspKUkRERGqX7++218bAICarMKXfcvPz9fy5cv14YcfavPmza7MVKqpU6cqISFB8+bNU0BAgBITE93+mkBptmz5Vunprv9/Pjf32oybO6690LVrlLp06ebycQFUf2UWgV9//VWvvfaafvnlFzVv3lyJiYk6fPiwpk+froYNG2rSpEmVkVMtW7bUF198USmvBRghNzdXknuKAADcSJlFYMaMGWrWrJmeeeYZJSUlacyYMapdu7YSExP14IMPVkZGoErp0qWbW9auExPfkCRNmvS6y8cGgBspswj89NNPSktLk4+Pj+677z516NBBqampuvXWWysjH1Ahn332sY4dO2J0jHI5evRa3qJCUB00adJMcXHDjI4Bk2CznHuUWQQKCgrk4+MjSfL19ZW/v7+pSoD1So4uHUkxOoZTbIVXJEkWr+pzISjrlRxJt7h83GPHjijj4D7d6lfh3WAqna9skqQrpw4anMQ5py4WGh0BcAmzb5Yr869kfn6+3nnnHcftK1euFLstSS+88ILrk1UBTZo0MzpCuRStUTZt4vovVve5xW2/51v9vDSiLUeWuMuSPe47s2dubo4Kc64q99tMt72G2RXmXFWuV47Lx62Os3HulJ6+2S2zGJLrZuTKLAKxsbE6deqU4/bDDz9c7HZNVt2mPNnGDMBox44d0eH9+3SLZ/U5KVQt27XZuLxDBwxO4rxzVteda6PMIjBr1iyXvRgAOCMwMEjnCs8rsFsjo6PUWLnfZrptKvwWT0/19zfnNHtlWZ3nutkcp681AAAAah6KAAAAJkYRAADAxKrPsVU1iLuOhXX3cejV4XhYAMbKzc1RdmGhS7dho6RzhYWy5brmd1yhIrB//35t2bJFd9xxh7p27eqSIPjjquMloQEAxiqzCOzfv18TJ07UoUOHdO+99+q5557TuHHj1LRpUx06dEjjx4/XsGHV6zA7o7nrFLUAYLTAwCBZzp3lqAE3W52XI38XHfVR5j4Cb7zxhqKjo7Vq1Sq1b99eY8eO1bx58/Tll19q8eLFWrZsmUuCAACAyldmEdi3b5/Gjh2rli1b6rnnntOVK1fUsWNHSVK7du109uxZt4cEAADuUeamAavVKg8PD0mSj4+P6tSp4/ZQwB+Vm5uj8xcL3XoaXLM7dbFQ9Vy0sxIA45RZBAoLC7VixQrZ7XZJ1y5C9OWXXzqWW114mkMAAFC5yiwC99xzj1atWuW4fdddd2n16tWO223btnVPMuAPCAwMUq3L57jokBst2ZOt2ia9WhtQk5RZBBYuXMjmAAAAaqgyi0CPHj3Upk0bdevWTT169FCzZtXr0rwAAODGyiwCaWlp2rlzpzZv3qzRo0fLZrMpMjJSUVFReuCBB+Tj41MZOQEAgBuUWQS8vb3VuXNnde7cWQkJCTp27Jg2b96sjz/+WH/961917733KioqSr169dItt9xSGZkBAICLlPsUw02aNNHQoUM1dOhQXblyRd999502b94sLy8vPf744+7ICAAA3KTMInD58mXNnz9f+/fv15133qlnnnnGsTmgdu3a6t69u7p37+7unAAAwA3KPLPgtGnTlJqaqhYtWmj9+vVKTEysjFwAAKASlFkE0tLStGjRIk2cOFEffPCBUlNTKyMXAACoBGUWgUuXLqlBgwaSpNDQUF28eNHtoQAAQOVw6loD3333neMUw4WFhcVuS1Lnzp3dlxAAALhNmUUgODhYr776quN2UFBQsdseHh5KSUlxTzrgDzjlposOXcy36WK+zeXjupOfj0V+PmVOAJbLqYuFau7SEVFTnLNatTrP9RekumSz6ZKten32fC0W+Vpc+9mTrv2O/V00VplFYNOmTS56KaDyNGnivjNgXs3NkSU3123ju4N3YKDLrwvQXO79PaN6cuf/E7bcHF2tZp+92oGB8nfDNTn85brfdbnPIwBUB3Fxw4yOgD/Impuv3G8zjY7hFNuVa1dhtdT2NDiJ86y5+VKw68fls1f9VPkikJCQoK1bt6pevXqSpD59+ujZZ581OBUAd6puMw1Hjx6RJDUNrka5g6vf7xnuUeWLgCSNGjVKQ4cONToGgEpS3dYqExPfkCRNmvS6wUmA8nP9HgwAAPEkfswAAAveSURBVKDaqBZFYMmSJYqNjdWYMWN06NAho+MAAFBjGL5pYODAgcrMLH2HoK1bt2r8+PEKCQmRxWLRqlWrFB8fr+TkZHl6VnynnOBgvwo/FwB+z9v72t+jkBBXHdAFVB7Di8DKlStvurxhw4aOnwcMGKBZs2bp1KlTCgsLq/BrZmVdlM1mL/uBAOCEgoJrRw2cPZtncBKgJIvF46YrwFV+08Dp06cdP6elpclisRQrBwAAoOIMnxEoy6RJk5SVlSUPDw/5+flp/vz58vKq8rEBAKgWqvw36tKlS42OAABAjVXlNw0AAAD3oQgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJlYlisDq1asVGxurNm3a6NNPPy227PLly3rxxRfVq1cv9enTR6mpqQalBACg5vEyOoAkRURE6O2339bChQtLLFu0aJH8/Py0ceNGZWRk6KmnntKGDRtUt25dA5ICAFCzVIkZgVatWun222+XxVIyzr///W8NHjxYktS8eXPddddd+vbbbys7IgAANVKVmBG4mczMTIWFhTluh4aG6tSpU39ozOBgvz8aCwAcvL09JUkhIf4GJwHKr1KKwMCBA5WZmVnqsq1bt8rT07MyYjhkZV2UzWav1NcEUHMVFFglSWfP5hmcBCjJYvG46QpwpRSBlStXVvi5jRo10okTJ1S/fn1J0smTJ/XAAw+4KhoAAKZWJfYRuJk+ffpo+fLlkqSMjAz9+OOPioyMNDgVAAA1Q5UoAklJSerWrZvWrVund955R926ddPBgwclSSNHjtSFCxfUq1cvPfPMM5o2bZr8/NjGDwCAK1SJnQVjYmIUExNT6jJfX1+9++67lZwIAABzqBIzAgAAwBgUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmViWKwOrVqxUbG6s2bdro008/LbYsISFB3bp1U//+/dW/f3/Nnz/foJQAANQ8XkYHkKSIiAi9/fbbWrhwYanLR40apaFDh1ZyKgAAar4qUQRatWolSbJYqsQEBQAAplEtvnmXLFmi2NhYjRkzRocOHTI6DgAANUalzAgMHDhQmZmZpS7bunWrPD09b/jc8ePHKyQkRBaLRatWrVJ8fLySk5Nv+pyyBAf7Vfi5APB73t7X/h6FhPgbnAQov0opAitXrqzwcxs2bOj4ecCAAZo1a5ZOnTqlsLCwCo+ZlXVRNpu9ws8HgOsVFFglSWfP5hmcBCjJYvG46Qpwld80cPr0acfPaWlpslgsxcoBAACouCqxs2BSUpLefPNNXbhwQSkpKVq4cKEWL16s22+/XZMmTVJWVpY8PDzk5+en+fPny8urSsQGAKDaqxLfqDExMYqJiSl12dKlSys3DAAAJlLlNw0AAAD3oQgAAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxDzsdrvpzrXLKYYBc9qy5Vulp292+bhHjx6RJDVt2szlY0tS165R6tKlm1vGRs1X1imGq8QJhQCgOgsMDDQ6AlBhzAgAAFCDVfuLDgEAAPehCAAAYGIUAQAATIwiAACAiVEEAAAwMYoAAAAmRhEAAMDEKAIAAJgYRQAAABOjCAAAYGKmvNaAxeJhdAQAACpFWd95przWAAAAuIZNAwAAmBhFAAAAE6MIAABgYhQBAABMjCIAAICJUQQAADAxigAAACZGEQAAwMQoAgAAmBhFAAAAE6MIAABgYhQBAABMjCJQgxw+fFiDBw9W7969NXjwYGVkZBgdCU5KTExUdHS0wsPDtX//fqPjoBzOnz+vv/zlL+rdu7diY2P1/PPPKzs72+hYKKe5c+ea9vNHEahBpkyZori4OK1fv15xcXGaPHmy0ZHgpJ49e2rZsmUKCwszOgrKycPDQ/Hx8Vq/fr2+/vprNWnSRLNnzzY6Fsrh559/1g8//GDazx9FoIbIysrS3r17FRMTI0mKiYnR3r17WTOpJjp27KjQ0FCjY6ACgoKC9MADDzhu33vvvcrMzDQwEcojPz9f06ZN09SpU42OYhiKQA1x8uRJNWzYUJ6enpIkT09PNWjQQCdPnjQ4GWAeNptN//jHPxQdHW10FDjpnXfe0SOPPKLGjRsbHcUwFAEAcJE33nhDvr6+Gjp0qNFR4ITdu3frp59+UlxcnNFRDEURqCFCQ0N1+vRpWa1WSZLVatWZM2eYbgYqSWJioo4cOaK///3vslj401od7NixQ4cOHVLPnj0VHR2tU6dOaeTIkUpPTzc6WqXi/9YaIjg4WBEREUpKSpIkJSUlKSIiQvXr1zc4GVDzvfXWW/rpp5/03nvvycfHx+g4cNKoUaOUnp6uTZs2adOmTbr11lu1aNEide3a1eholcrDbrfbjQ4B1zh06JASEhJ04cIFBQQEKDExUS1atDA6Fpwwffp0bdiwQefOnVO9evUUFBSkNWvWGB0LTjhw4IBiYmLUvHlz1a5dW5LUuHFjvffeewYnQ3lFR0fr/fffV6tWrYyOUqkoAgAAmBibBgAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAqJA5c+ZowoQJRscA8AdRBADc1Ndff61BgwapXbt26tq1q+Lj47Vz506XjH38+HGFh4ersLDQJeMBKD8vowMAqLqWLFmihQsX6v/+7//UtWtXeXt7Ky0tTSkpKfL19TU6ngoLC+XlxZ8x4I9gRgBAqfLy8vTuu+9q8uTJeuihh+Tr6ytvb29FR0dr0qRJxR67bds2devWrdh90dHR2rp1qyRpz549GjRokNq3b68HH3xQs2bNkiTHxXnuu+8+tWvXTrt375Ykffnll+rbt6/uu+8+jRw5UidOnHCMGx4ermXLlumhhx7SQw895Lb3D5gFVRpAqXbv3q2rV6+qV69ef3isGTNmaNiwYRowYIB+++03HThwQJL06aefqmfPntqxY4djzT45OVkLFizQ+++/r2bNmmnhwoV6+eWX9c9//tMxXnJysj7//HPHKX0BVBwzAgBKlZOTo3r16rlk6t3Ly0tHjx5Vdna26tatq3vvvfeGj/3nP/+pUaNGqWXLlvLy8tLo0aP1yy+/FJsVGDVqlIKCgigCgAtQBACUKigoSOfPn3fJjnwzZsxQRkaG+vbtq0cffVSpqak3fGxmZqZmzpypjh07qmPHjrr//vtlt9t1+vRpx2O4vDbgOmwaAFCqdu3aycfHR8nJyerTp89NH1unTh1duXLFcdtqtSo7O9txu3nz5nrrrbdks9m0YcMGjRs3Ttu2bZOHh0eJsUJDQzV69Gg98sgjN3y90p4HoGKYEQBQKn9/f40bN07Tpk1TcnKyLl++rIKCAm3evFlvvvlmscfedtttunr1qr755hsVFBRo/vz5ys/PdyxfvXq1srOzZbFYFBAQIEmyWCyqX7++LBaLjh075njsk08+qYULFzr2I8jLy9O///3vSnjHgDkxIwDghv785z/rlltu0bx58zRhwgTVrVtXd955p0aPHq0tW7Y4Hufv768pU6botddek9VqVXx8vG699VbH8rS0NP3tb3/TlStX1KhRI7399tuO7fujR4/WkCFDVFhYqA8//FC9evXSb7/9ppdeekknTpyQv7+/HnzwQfXt27fS3z9gBh52u91udAgAAGAMNg0AAGBiFAEAAEyMIgAAgIlRBAAAMDGKAAAAJkYRAADAxCgCAACYGEUAAAATowgAAGBi/w9Vuc8zuWYw7QAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Recall that group 0 has 7 records, group 1 has 5 records, group 2 has 307 records, and group 4 has 9 records.\n",
        "\n",
        "Looking at the top four clusters, we get meaningful trends and good separation of features.\n",
        "* Group 0 generally has the lowest current price.\n",
        "* Group 4 has an extremely narrow price change. Securities in group 4 very reliably gain value.\n",
        "* On the other hand, group 0 has a wide spread of negative values, meaning that these lose value by varying amounts. In addition, group 0 is highly volitile, meaning the spread of the price change data over the last 13 weeks is greater.\n",
        "* Group 1 outperforms the rest on ROE by a considerable margin.\n",
        "* Cash ratios are fairly similar, differing primarily in spread.\n",
        "* Group 4 has a large spread in net cash flow, whereas the other three groups see a net cash flow around 0.\n",
        "* Group 4 has the highest net income, while group 0 has the lowest, with the later almost always negative.\n",
        "* While group 2 has both positive and negative earnings per share, groups 1 and 4 see only positive. Group 0, on the other hand, is all negative.\n",
        "* Group 4 differentiates itself with more estimated outstanding shares than the rest.\n",
        "* Group 0 has the highest P/E ratio, and group 2 has the greatest spread in P/B ratio.\n",
        "\n",
        "There is sufficient separation in the data to make fourteen clusters the best choice for a hierarchical model."
      ],
      "metadata": {
        "id": "Rt1FmTGZc5m4"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_cut.query('ag_group==0')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 628
        },
        "id": "xIPhBbnDfkyt",
        "outputId": "0079a4dc-2f6c-4bec-ea49-67f800f079df"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                   Security GICS Sector  \\\n",
              "31            APC    Anadarko Petroleum Corp      Energy   \n",
              "102           DVN         Devon Energy Corp.      Energy   \n",
              "127           FCX  Freeport-McMoran Cp & Gld   Materials   \n",
              "180           KMI              Kinder Morgan      Energy   \n",
              "227           NFX    Newfield Exploration Co      Energy   \n",
              "284           SWN        Southwestern Energy      Energy   \n",
              "328           XEC             Cimarex Energy      Energy   \n",
              "\n",
              "                                   GICS Sub Industry  Current Price  \\\n",
              "31                Oil & Gas Exploration & Production      48.580002   \n",
              "102               Oil & Gas Exploration & Production      32.000000   \n",
              "127                                           Copper       6.770000   \n",
              "180  Oil & Gas Refining & Marketing & Transportation      14.920000   \n",
              "227               Oil & Gas Exploration & Production      32.560001   \n",
              "284               Oil & Gas Exploration & Production       7.110000   \n",
              "328               Oil & Gas Exploration & Production      89.379997   \n",
              "\n",
              "     Price Change  Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "31     -20.802083    2.435165   52          22    -6430000000  -6692000000   \n",
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              "     Earnings Per Share  Estimated Shares Outstanding   P/E Ratio  P/B Ratio  \\\n",
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              "328              -25.92                  9.293781e+07   93.089287   7.186128   \n",
              "\n",
              "     km_group  km_group3  ag_group  \n",
              "31          3          1         0  \n",
              "102         3          1         0  \n",
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          "metadata": {},
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The worst performing cluster is certainly group 0. We see here that this group contains securities from the energy sector (and one from materials). These companies are involved in the extraction of natural resources from the earth, such as oil, gas, and copper."
      ],
      "metadata": {
        "id": "07IBrutJfuJ2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_cut.query('ag_group==4')"
      ],
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        "id": "LIcJnP1OgUwm",
        "outputId": "ae89c652-d5fc-4cc2-a4a1-f19ba3a93dac"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                Security                  GICS Sector  \\\n",
              "52              C          Citigroup Inc.                   Financials   \n",
              "123             F              Ford Motor       Consumer Discretionary   \n",
              "177           JPM    JPMorgan Chase & Co.                   Financials   \n",
              "181            KO       Coca Cola Company             Consumer Staples   \n",
              "246           PFE             Pfizer Inc.                  Health Care   \n",
              "287             T                AT&T Inc  Telecommunications Services   \n",
              "317            VZ  Verizon Communications  Telecommunications Services   \n",
              "320           WFC             Wells Fargo                   Financials   \n",
              "331           XOM       Exxon Mobil Corp.                       Energy   \n",
              "\n",
              "                          GICS Sub Industry  Current Price  Price Change  \\\n",
              "52                                    Banks      51.750000      4.714695   \n",
              "123                Automobile Manufacturers      14.090000      2.398256   \n",
              "177                                   Banks      66.029999      8.033377   \n",
              "181                             Soft Drinks      42.959999      6.812526   \n",
              "246                         Pharmaceuticals      32.279999      3.130991   \n",
              "287  Integrated Telecommunications Services      34.410000      5.942118   \n",
              "317  Integrated Telecommunications Services      46.220001      6.277303   \n",
              "320                                   Banks      54.360001      5.532912   \n",
              "331                    Integrated Oil & Gas      77.949997      3.656915   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "52     1.261984    8          99   -11208000000  17242000000   \n",
              "123    1.151454   26          43     3515000000   7373000000   \n",
              "177    1.130337   10          99    -7341000000  24442000000   \n",
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              "331    1.370062    9           7     -911000000  16150000000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "52                 5.41                  3.187061e+09   9.565619  -1.167533   \n",
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              "181                1.69                  4.349704e+09  25.420118  -1.466307   \n",
              "246                1.13                  6.159292e+09  28.566371  -4.213309   \n",
              "287                2.37                  5.630802e+09  14.518987 -23.537323   \n",
              "317                4.38                  4.081963e+09  10.552512 -26.380687   \n",
              "320                4.18                  5.477033e+09  13.004785  -0.938007   \n",
              "331                3.85                  4.194805e+09  20.246752  -2.706443   \n",
              "\n",
              "     km_group  km_group3  ag_group  \n",
              "52          5          0         4  \n",
              "123         5          0         4  \n",
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              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>66.029999</td>\n",
              "      <td>8.033377</td>\n",
              "      <td>1.130337</td>\n",
              "      <td>10</td>\n",
              "      <td>99</td>\n",
              "      <td>-7341000000</td>\n",
              "      <td>24442000000</td>\n",
              "      <td>6.05</td>\n",
              "      <td>4.040000e+09</td>\n",
              "      <td>10.914049</td>\n",
              "      <td>-1.886881</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>181</th>\n",
              "      <td>KO</td>\n",
              "      <td>Coca Cola Company</td>\n",
              "      <td>Consumer Staples</td>\n",
              "      <td>Soft Drinks</td>\n",
              "      <td>42.959999</td>\n",
              "      <td>6.812526</td>\n",
              "      <td>0.889913</td>\n",
              "      <td>29</td>\n",
              "      <td>74</td>\n",
              "      <td>-1649000000</td>\n",
              "      <td>7351000000</td>\n",
              "      <td>1.69</td>\n",
              "      <td>4.349704e+09</td>\n",
              "      <td>25.420118</td>\n",
              "      <td>-1.466307</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>246</th>\n",
              "      <td>PFE</td>\n",
              "      <td>Pfizer Inc.</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Pharmaceuticals</td>\n",
              "      <td>32.279999</td>\n",
              "      <td>3.130991</td>\n",
              "      <td>1.238748</td>\n",
              "      <td>11</td>\n",
              "      <td>79</td>\n",
              "      <td>298000000</td>\n",
              "      <td>6960000000</td>\n",
              "      <td>1.13</td>\n",
              "      <td>6.159292e+09</td>\n",
              "      <td>28.566371</td>\n",
              "      <td>-4.213309</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>287</th>\n",
              "      <td>T</td>\n",
              "      <td>AT&amp;T Inc</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>34.410000</td>\n",
              "      <td>5.942118</td>\n",
              "      <td>0.859442</td>\n",
              "      <td>11</td>\n",
              "      <td>11</td>\n",
              "      <td>-3482000000</td>\n",
              "      <td>13345000000</td>\n",
              "      <td>2.37</td>\n",
              "      <td>5.630802e+09</td>\n",
              "      <td>14.518987</td>\n",
              "      <td>-23.537323</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>317</th>\n",
              "      <td>VZ</td>\n",
              "      <td>Verizon Communications</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>46.220001</td>\n",
              "      <td>6.277303</td>\n",
              "      <td>0.842592</td>\n",
              "      <td>109</td>\n",
              "      <td>14</td>\n",
              "      <td>-6128000000</td>\n",
              "      <td>17879000000</td>\n",
              "      <td>4.38</td>\n",
              "      <td>4.081963e+09</td>\n",
              "      <td>10.552512</td>\n",
              "      <td>-26.380687</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>320</th>\n",
              "      <td>WFC</td>\n",
              "      <td>Wells Fargo</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>54.360001</td>\n",
              "      <td>5.532912</td>\n",
              "      <td>0.969774</td>\n",
              "      <td>12</td>\n",
              "      <td>99</td>\n",
              "      <td>-460000000</td>\n",
              "      <td>22894000000</td>\n",
              "      <td>4.18</td>\n",
              "      <td>5.477033e+09</td>\n",
              "      <td>13.004785</td>\n",
              "      <td>-0.938007</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>331</th>\n",
              "      <td>XOM</td>\n",
              "      <td>Exxon Mobil Corp.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Integrated Oil &amp; Gas</td>\n",
              "      <td>77.949997</td>\n",
              "      <td>3.656915</td>\n",
              "      <td>1.370062</td>\n",
              "      <td>9</td>\n",
              "      <td>7</td>\n",
              "      <td>-911000000</td>\n",
              "      <td>16150000000</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.194805e+09</td>\n",
              "      <td>20.246752</td>\n",
              "      <td>-2.706443</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
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              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
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              "          element.appendChild(docLink);\n",
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              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Group 4, one of the better performing clusters, has a good mix of sectors. Current prices are low enough to be a good buy and positive price change with low volitility indicates that these securities will appreciate in value."
      ],
      "metadata": {
        "id": "dyEKxcHYgYgL"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a9GxSQf-qH8e"
      },
      "source": [
        "## K-means vs Hierarchical Clustering"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### The Big Clusters\n",
        "\n",
        "Both clustering algorithms yield one big cluster. Let's look first at how much the big ones overlap. Recall that `km_group` identifies the cluster assigned by the k-means model and `ag_group` is the cluster given by agglomerative hierarchical clustering.\n",
        "Note that the big groups happen to both be labelled 2."
      ],
      "metadata": {
        "id": "W2U00fhq-qPw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# % overlap in big clusters\n",
        "(data\n",
        " .query('ag_group==2')\n",
        " .query('km_group==2')\n",
        " .shape[0]/data\n",
        " .query('km_group==2')\n",
        " .shape[0])"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Cnh3QGal2sPz",
        "outputId": "dc3a6bb5-d09f-4980-de01-a5e027dafbf5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.9962121212121212"
            ]
          },
          "metadata": {},
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Over 99% of records in k-means cluster 2 were sorted into hierarchical cluster 2. This shows strong alignment, that k-means cluster 2 is essentially a subset of hierarchical cluster 2."
      ],
      "metadata": {
        "id": "qdFo_n4D-uyr"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# left out record (and its group)\n",
        "a=data.query('ag_group==2').index\n",
        "b=data.query('km_group==2').index.isin(a)\n",
        "c=data.query('km_group==2').loc[np.logical_not(b)]['ag_group'].values[0]\n",
        "data.query('ag_group==@c')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 214
        },
        "id": "D5p2H9jB2sLL",
        "outputId": "ef5d9f56-1039-4989-859b-fcb9cf52b73e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "   Ticker Symbol              Security GICS Sector GICS Sub Industry  \\\n",
              "40           BAC  Bank of America Corp  Financials             Banks   \n",
              "\n",
              "    Current Price  Price Change  Volatility  ROE  Cash Ratio  Net Cash Flow  \\\n",
              "40          16.83      8.440722    1.418688    6          99    20764000000   \n",
              "\n",
              "     Net Income  Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  \\\n",
              "40  15888000000                4.18                   845069512.2  13.004785   \n",
              "\n",
              "    P/B Ratio  km_group  km_group3  ag_group  \n",
              "40  -0.938007         2          0        13  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-f675ea6a-54ad-48ce-9ebd-105570986cc9\">\n",
              "    <div class=\"colab-df-container\">\n",
              "      <div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "\n",
              "    .dataframe tbody tr th {\n",
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              "\n",
              "    .dataframe thead th {\n",
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
              "      <th>Price Change</th>\n",
              "      <th>Volatility</th>\n",
              "      <th>ROE</th>\n",
              "      <th>Cash Ratio</th>\n",
              "      <th>Net Cash Flow</th>\n",
              "      <th>Net Income</th>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <th>P/E Ratio</th>\n",
              "      <th>P/B Ratio</th>\n",
              "      <th>km_group</th>\n",
              "      <th>km_group3</th>\n",
              "      <th>ag_group</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>40</th>\n",
              "      <td>BAC</td>\n",
              "      <td>Bank of America Corp</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>16.83</td>\n",
              "      <td>8.440722</td>\n",
              "      <td>1.418688</td>\n",
              "      <td>6</td>\n",
              "      <td>99</td>\n",
              "      <td>20764000000</td>\n",
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              "\n",
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              "          const element = document.querySelector('#df-f675ea6a-54ad-48ce-9ebd-105570986cc9');\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
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              "  "
            ]
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          "metadata": {},
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        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Only one record belonging to k-means  cluster 2 was put in a different hierarchical cluster, namely Bank of America. It landed in its own singleton group in the agglomerative clustering model.\n",
        "\n",
        "But there are 307 records in hierarchical group 2, so what k-means cluster are the remaining records assigned to (those that didn't make it into the big group)?"
      ],
      "metadata": {
        "id": "p_CTf3vEAPiw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# ag big group overflow km groups \n",
        "(data\n",
        " .loc[data['km_group']\n",
        "      .mask(lambda x: x==2)\n",
        "      .notnull()]\n",
        " .query('ag_group==2')['km_group']\n",
        " .value_counts())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yjKLhred9ina",
        "outputId": "5a00a55a-01a2-41d9-85d4-4d3f2313c906"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "3    20\n",
              "0    19\n",
              "1     4\n",
              "5     1\n",
              "Name: km_group, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The remaining records fall into groups 3, 0, 1, and 5.\n",
        "\n",
        "This can be summarized by saying hierarchical clustering put 90% of the records into a single cluster, whereas k-means spread those records across five clusters."
      ],
      "metadata": {
        "id": "hW9BAclsBJum"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Smaller Clusters"
      ],
      "metadata": {
        "id": "pECsKY3ziyNX"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_cut.query('ag_group==0')['km_group'].unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_Ks5KLsVi0W2",
        "outputId": "e1a77bc5-6bc3-44ad-81cb-29da254423cc"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([3], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 63
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==3')['ag_group'].unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "GSM70mIsjWKc",
        "outputId": "0e0c6568-c9c8-4a98-dfe9-22d91bc362a3"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 2])"
            ]
          },
          "metadata": {},
          "execution_count": 64
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "There's good overlap among some clusters. Every record in agglomerated cluster 0 is in k-means cluster 3. Conversely, every record in k-means cluster 3 falls into either ag. groups 0 or 2.\n",
        "\n",
        "That is to say, ag. cluster 0 contains a subset of the records in k-means cluster 3."
      ],
      "metadata": {
        "id": "Hsc5ASnsjHcM"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_cut.query('ag_group==4')['km_group'].unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "u23EJ6SnkAia",
        "outputId": "54a1c4ef-5b13-490a-93b6-61bb3a405c0b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([5], dtype=int32)"
            ]
          },
          "metadata": {},
          "execution_count": 65
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==5')['ag_group'].unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZBJL5tf2kIMY",
        "outputId": "a5f1fd88-084f-40ee-988b-5272452d42d6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 4,  2, 12])"
            ]
          },
          "metadata": {},
          "execution_count": 66
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Here again, ag. cluster 4 contains a subset of records in k-means group 5."
      ],
      "metadata": {
        "id": "sP1f2kODkNNo"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Cluster Qualities\n",
        "\n",
        "As was just discussed, there's much overlap in the big clusters. While k-means gave eight clusters, the agglomerative method yielded fourteen.\n",
        "\n",
        "Most of the groups obtained through hierarchical clustering contained fewer than five records. With so few records per cluster, we gain little insight into trends across securities. Moreover, a diversified portfolio could not be assembled from a single cluster, as there are not enough records per cluster to guarantee robust performance. We can glean some information from the four biggest clusters, but they are still dominated by the largest of the bunch.\n",
        "\n",
        "Where the k-means model excells is in producing more medium-sized clusters. This allows us to investigate more distinct trends and lends itself better to StockCenter's goal of assembling diversified, well-performing portfolios."
      ],
      "metadata": {
        "id": "hroIHI3dDhMM"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Execution Time\n",
        "\n",
        "This is not actually a huge concern, as both clustering methods run quite quickly. Still, it is interesting to compare."
      ],
      "metadata": {
        "id": "8Ae-fvl7DnsS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "%%timeit\n",
        "KMeans(n_clusters=8,n_init=10,random_state=1).fit(attr)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Anb_yqSfF2KN",
        "outputId": "87b906d5-8e9e-4891-c896-b91a58c5bc70"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "27.8 ms ± 2.64 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "%%timeit\n",
        "AgglomerativeClustering(\n",
        "    n_clusters=14,\n",
        "    metric='euclidean',\n",
        "    linkage='average').fit(attr)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SIqJ4_8vGNrz",
        "outputId": "e5969afc-ac38-4fd8-dede-0df0435c8de4"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "3.49 ms ± 81.8 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We find that k-means takes roughly seven times longer to execute. Still, run time is on the order of milliseconds&mdash;no worries!"
      ],
      "metadata": {
        "id": "6A7DY92AGfVF"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2BkZh6eHluZK"
      },
      "source": [
        "## Actionable Insights and Recommendations"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### k-means\n",
        "\n",
        "Recall group 5 from k-means clustering, studied earlier."
      ],
      "metadata": {
        "id": "zLZFfnVnxk3W"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==5')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 649
        },
        "id": "I1vgnLxWx4ws",
        "outputId": "7573761e-baca-481f-84da-55db9245436c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                Security                  GICS Sector  \\\n",
              "52              C          Citigroup Inc.                   Financials   \n",
              "123             F              Ford Motor       Consumer Discretionary   \n",
              "140          GILD         Gilead Sciences                  Health Care   \n",
              "167          INTC             Intel Corp.       Information Technology   \n",
              "177           JPM    JPMorgan Chase & Co.                   Financials   \n",
              "181            KO       Coca Cola Company             Consumer Staples   \n",
              "246           PFE             Pfizer Inc.                  Health Care   \n",
              "287             T                AT&T Inc  Telecommunications Services   \n",
              "317            VZ  Verizon Communications  Telecommunications Services   \n",
              "320           WFC             Wells Fargo                   Financials   \n",
              "331           XOM       Exxon Mobil Corp.                       Energy   \n",
              "\n",
              "                          GICS Sub Industry  Current Price  Price Change  \\\n",
              "52                                    Banks      51.750000      4.714695   \n",
              "123                Automobile Manufacturers      14.090000      2.398256   \n",
              "140                           Biotechnology     101.190002      2.689264   \n",
              "167                          Semiconductors      34.450001     14.035095   \n",
              "177                                   Banks      66.029999      8.033377   \n",
              "181                             Soft Drinks      42.959999      6.812526   \n",
              "246                         Pharmaceuticals      32.279999      3.130991   \n",
              "287  Integrated Telecommunications Services      34.410000      5.942118   \n",
              "317  Integrated Telecommunications Services      46.220001      6.277303   \n",
              "320                                   Banks      54.360001      5.532912   \n",
              "331                    Integrated Oil & Gas      77.949997      3.656915   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "52     1.261984    8          99   -11208000000  17242000000   \n",
              "123    1.151454   26          43     3515000000   7373000000   \n",
              "140    1.494060   98         148     2824000000  18108000000   \n",
              "167    1.226022   19         162    12747000000  11420000000   \n",
              "177    1.130337   10          99    -7341000000  24442000000   \n",
              "181    0.889913   29          74    -1649000000   7351000000   \n",
              "246    1.238748   11          79      298000000   6960000000   \n",
              "287    0.859442   11          11    -3482000000  13345000000   \n",
              "317    0.842592  109          14    -6128000000  17879000000   \n",
              "320    0.969774   12          99     -460000000  22894000000   \n",
              "331    1.370062    9           7     -911000000  16150000000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "52                 5.41                  3.187061e+09   9.565619  -1.167533   \n",
              "123                1.86                  3.963978e+09   7.575269   5.108756   \n",
              "140               12.37                  1.463864e+09   8.180275   3.159446   \n",
              "167                2.41                  4.738589e+09  14.294606   3.954975   \n",
              "177                6.05                  4.040000e+09  10.914049  -1.886881   \n",
              "181                1.69                  4.349704e+09  25.420118  -1.466307   \n",
              "246                1.13                  6.159292e+09  28.566371  -4.213309   \n",
              "287                2.37                  5.630802e+09  14.518987 -23.537323   \n",
              "317                4.38                  4.081963e+09  10.552512 -26.380687   \n",
              "320                4.18                  5.477033e+09  13.004785  -0.938007   \n",
              "331                3.85                  4.194805e+09  20.246752  -2.706443   \n",
              "\n",
              "     km_group  km_group3  ag_group  \n",
              "52          5          0         4  \n",
              "123         5          0         4  \n",
              "140         5          0         2  \n",
              "167         5          0        12  \n",
              "177         5          0         4  \n",
              "181         5          0         4  \n",
              "246         5          0         4  \n",
              "287         5          0         4  \n",
              "317         5          0         4  \n",
              "320         5          0         4  \n",
              "331         5          0         4  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-00d3b122-ec06-46aa-8773-4676a9a82be4\">\n",
              "    <div 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>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
              "      <th>Price Change</th>\n",
              "      <th>Volatility</th>\n",
              "      <th>ROE</th>\n",
              "      <th>Cash Ratio</th>\n",
              "      <th>Net Cash Flow</th>\n",
              "      <th>Net Income</th>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <th>P/E Ratio</th>\n",
              "      <th>P/B Ratio</th>\n",
              "      <th>km_group</th>\n",
              "      <th>km_group3</th>\n",
              "      <th>ag_group</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>C</td>\n",
              "      <td>Citigroup Inc.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>51.750000</td>\n",
              "      <td>4.714695</td>\n",
              "      <td>1.261984</td>\n",
              "      <td>8</td>\n",
              "      <td>99</td>\n",
              "      <td>-11208000000</td>\n",
              "      <td>17242000000</td>\n",
              "      <td>5.41</td>\n",
              "      <td>3.187061e+09</td>\n",
              "      <td>9.565619</td>\n",
              "      <td>-1.167533</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>123</th>\n",
              "      <td>F</td>\n",
              "      <td>Ford Motor</td>\n",
              "      <td>Consumer Discretionary</td>\n",
              "      <td>Automobile Manufacturers</td>\n",
              "      <td>14.090000</td>\n",
              "      <td>2.398256</td>\n",
              "      <td>1.151454</td>\n",
              "      <td>26</td>\n",
              "      <td>43</td>\n",
              "      <td>3515000000</td>\n",
              "      <td>7373000000</td>\n",
              "      <td>1.86</td>\n",
              "      <td>3.963978e+09</td>\n",
              "      <td>7.575269</td>\n",
              "      <td>5.108756</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>140</th>\n",
              "      <td>GILD</td>\n",
              "      <td>Gilead Sciences</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Biotechnology</td>\n",
              "      <td>101.190002</td>\n",
              "      <td>2.689264</td>\n",
              "      <td>1.494060</td>\n",
              "      <td>98</td>\n",
              "      <td>148</td>\n",
              "      <td>2824000000</td>\n",
              "      <td>18108000000</td>\n",
              "      <td>12.37</td>\n",
              "      <td>1.463864e+09</td>\n",
              "      <td>8.180275</td>\n",
              "      <td>3.159446</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>2</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>167</th>\n",
              "      <td>INTC</td>\n",
              "      <td>Intel Corp.</td>\n",
              "      <td>Information Technology</td>\n",
              "      <td>Semiconductors</td>\n",
              "      <td>34.450001</td>\n",
              "      <td>14.035095</td>\n",
              "      <td>1.226022</td>\n",
              "      <td>19</td>\n",
              "      <td>162</td>\n",
              "      <td>12747000000</td>\n",
              "      <td>11420000000</td>\n",
              "      <td>2.41</td>\n",
              "      <td>4.738589e+09</td>\n",
              "      <td>14.294606</td>\n",
              "      <td>3.954975</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>177</th>\n",
              "      <td>JPM</td>\n",
              "      <td>JPMorgan Chase &amp; Co.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>66.029999</td>\n",
              "      <td>8.033377</td>\n",
              "      <td>1.130337</td>\n",
              "      <td>10</td>\n",
              "      <td>99</td>\n",
              "      <td>-7341000000</td>\n",
              "      <td>24442000000</td>\n",
              "      <td>6.05</td>\n",
              "      <td>4.040000e+09</td>\n",
              "      <td>10.914049</td>\n",
              "      <td>-1.886881</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>181</th>\n",
              "      <td>KO</td>\n",
              "      <td>Coca Cola Company</td>\n",
              "      <td>Consumer Staples</td>\n",
              "      <td>Soft Drinks</td>\n",
              "      <td>42.959999</td>\n",
              "      <td>6.812526</td>\n",
              "      <td>0.889913</td>\n",
              "      <td>29</td>\n",
              "      <td>74</td>\n",
              "      <td>-1649000000</td>\n",
              "      <td>7351000000</td>\n",
              "      <td>1.69</td>\n",
              "      <td>4.349704e+09</td>\n",
              "      <td>25.420118</td>\n",
              "      <td>-1.466307</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>246</th>\n",
              "      <td>PFE</td>\n",
              "      <td>Pfizer Inc.</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Pharmaceuticals</td>\n",
              "      <td>32.279999</td>\n",
              "      <td>3.130991</td>\n",
              "      <td>1.238748</td>\n",
              "      <td>11</td>\n",
              "      <td>79</td>\n",
              "      <td>298000000</td>\n",
              "      <td>6960000000</td>\n",
              "      <td>1.13</td>\n",
              "      <td>6.159292e+09</td>\n",
              "      <td>28.566371</td>\n",
              "      <td>-4.213309</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>287</th>\n",
              "      <td>T</td>\n",
              "      <td>AT&amp;T Inc</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>34.410000</td>\n",
              "      <td>5.942118</td>\n",
              "      <td>0.859442</td>\n",
              "      <td>11</td>\n",
              "      <td>11</td>\n",
              "      <td>-3482000000</td>\n",
              "      <td>13345000000</td>\n",
              "      <td>2.37</td>\n",
              "      <td>5.630802e+09</td>\n",
              "      <td>14.518987</td>\n",
              "      <td>-23.537323</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>317</th>\n",
              "      <td>VZ</td>\n",
              "      <td>Verizon Communications</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>46.220001</td>\n",
              "      <td>6.277303</td>\n",
              "      <td>0.842592</td>\n",
              "      <td>109</td>\n",
              "      <td>14</td>\n",
              "      <td>-6128000000</td>\n",
              "      <td>17879000000</td>\n",
              "      <td>4.38</td>\n",
              "      <td>4.081963e+09</td>\n",
              "      <td>10.552512</td>\n",
              "      <td>-26.380687</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>320</th>\n",
              "      <td>WFC</td>\n",
              "      <td>Wells Fargo</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>54.360001</td>\n",
              "      <td>5.532912</td>\n",
              "      <td>0.969774</td>\n",
              "      <td>12</td>\n",
              "      <td>99</td>\n",
              "      <td>-460000000</td>\n",
              "      <td>22894000000</td>\n",
              "      <td>4.18</td>\n",
              "      <td>5.477033e+09</td>\n",
              "      <td>13.004785</td>\n",
              "      <td>-0.938007</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>331</th>\n",
              "      <td>XOM</td>\n",
              "      <td>Exxon Mobil Corp.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Integrated Oil &amp; Gas</td>\n",
              "      <td>77.949997</td>\n",
              "      <td>3.656915</td>\n",
              "      <td>1.370062</td>\n",
              "      <td>9</td>\n",
              "      <td>7</td>\n",
              "      <td>-911000000</td>\n",
              "      <td>16150000000</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.194805e+09</td>\n",
              "      <td>20.246752</td>\n",
              "      <td>-2.706443</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-00d3b122-ec06-46aa-8773-4676a9a82be4')\"\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 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\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",
              "    [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-00d3b122-ec06-46aa-8773-4676a9a82be4 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-00d3b122-ec06-46aa-8773-4676a9a82be4');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? 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",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 69
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "There is a good mix of sectors in this group. Investing in a diverse group of sectors is important, as dips in the performance of one sector are mitigated by other unaffected sectors. \n",
        "\n",
        "A portfolio comprised of securities from a single sector will not be resilient to disruptions in that sector. Consider, for example, how global shipping was upset by the vessel that was lodged in the Suez Canal. While global logistics companies struggled, there was no real impact on the energy sector or financials. Such diversity lends resiliency to a portfolio."
      ],
      "metadata": {
        "id": "C7Iv7nByx_jc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==5').drop(['km_group','ag_group'],axis=1).plot(\n",
        "    kind='box',\n",
        "    subplots=True,\n",
        "    sharey=False,\n",
        "    layout=(3,4),\n",
        "    figsize=(15,20));"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "UFsmhAK1xhV5",
        "outputId": "44f89846-c79d-4be9-b523-ab66c17197d2"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1080x1440 with 12 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "* Stock prices in group 5 are fairly low, and the lower P/E ratio suggests these are not overvalued.\n",
        "* The volatility of stocks in group 5 is among the lowest of the groups.\n",
        "* From our cluster analysis earlier, we recall that group 5 has the stocks with the highest net income.\n",
        "\n",
        "I might advise investing in most of the stocks in group 5 to build a diverse portfolio. Perhaps I would leave out Pfizer and Coca Cola, as their P/E ratios are higher than the rest (25 and 28 respectively)."
      ],
      "metadata": {
        "id": "95RRfjugzm2h"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('km_group==3')['GICS Sector'].value_counts()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "6WLDxK-Qxh8c",
        "outputId": "8576b2d3-bd59-4f5a-c357-df214fb6677d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Energy                    21\n",
              "Industrials                2\n",
              "Materials                  2\n",
              "Information Technology     2\n",
              "Name: GICS Sector, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "I would advise against building a portfolio entirely on group 3. This groups is comprised almost entirely of energy securities. As was discussed before, a disruption in the energy industry would negatively impact all of these stocks, bringing down the value of the portfolio significantly."
      ],
      "metadata": {
        "id": "NpdbK9BN1k0B"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Hierarchical\n",
        "\n",
        "Let's look at group 4 from hierarchical clustering."
      ],
      "metadata": {
        "id": "k6DH7Eiz18rH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data.query('ag_group==4')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 569
        },
        "id": "zIkbEsNK1j8t",
        "outputId": "d12db186-5373-4fdc-f251-c7fdffac2b9d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "    Ticker Symbol                Security                  GICS Sector  \\\n",
              "52              C          Citigroup Inc.                   Financials   \n",
              "123             F              Ford Motor       Consumer Discretionary   \n",
              "177           JPM    JPMorgan Chase & Co.                   Financials   \n",
              "181            KO       Coca Cola Company             Consumer Staples   \n",
              "246           PFE             Pfizer Inc.                  Health Care   \n",
              "287             T                AT&T Inc  Telecommunications Services   \n",
              "317            VZ  Verizon Communications  Telecommunications Services   \n",
              "320           WFC             Wells Fargo                   Financials   \n",
              "331           XOM       Exxon Mobil Corp.                       Energy   \n",
              "\n",
              "                          GICS Sub Industry  Current Price  Price Change  \\\n",
              "52                                    Banks      51.750000      4.714695   \n",
              "123                Automobile Manufacturers      14.090000      2.398256   \n",
              "177                                   Banks      66.029999      8.033377   \n",
              "181                             Soft Drinks      42.959999      6.812526   \n",
              "246                         Pharmaceuticals      32.279999      3.130991   \n",
              "287  Integrated Telecommunications Services      34.410000      5.942118   \n",
              "317  Integrated Telecommunications Services      46.220001      6.277303   \n",
              "320                                   Banks      54.360001      5.532912   \n",
              "331                    Integrated Oil & Gas      77.949997      3.656915   \n",
              "\n",
              "     Volatility  ROE  Cash Ratio  Net Cash Flow   Net Income  \\\n",
              "52     1.261984    8          99   -11208000000  17242000000   \n",
              "123    1.151454   26          43     3515000000   7373000000   \n",
              "177    1.130337   10          99    -7341000000  24442000000   \n",
              "181    0.889913   29          74    -1649000000   7351000000   \n",
              "246    1.238748   11          79      298000000   6960000000   \n",
              "287    0.859442   11          11    -3482000000  13345000000   \n",
              "317    0.842592  109          14    -6128000000  17879000000   \n",
              "320    0.969774   12          99     -460000000  22894000000   \n",
              "331    1.370062    9           7     -911000000  16150000000   \n",
              "\n",
              "     Earnings Per Share  Estimated Shares Outstanding  P/E Ratio  P/B Ratio  \\\n",
              "52                 5.41                  3.187061e+09   9.565619  -1.167533   \n",
              "123                1.86                  3.963978e+09   7.575269   5.108756   \n",
              "177                6.05                  4.040000e+09  10.914049  -1.886881   \n",
              "181                1.69                  4.349704e+09  25.420118  -1.466307   \n",
              "246                1.13                  6.159292e+09  28.566371  -4.213309   \n",
              "287                2.37                  5.630802e+09  14.518987 -23.537323   \n",
              "317                4.38                  4.081963e+09  10.552512 -26.380687   \n",
              "320                4.18                  5.477033e+09  13.004785  -0.938007   \n",
              "331                3.85                  4.194805e+09  20.246752  -2.706443   \n",
              "\n",
              "     km_group  km_group3  ag_group  \n",
              "52          5          0         4  \n",
              "123         5          0         4  \n",
              "177         5          0         4  \n",
              "181         5          0         4  \n",
              "246         5          0         4  \n",
              "287         5          0         4  \n",
              "317         5          0         4  \n",
              "320         5          0         4  \n",
              "331         5          0         4  "
            ],
            "text/html": [
              "\n",
              "  <div id=\"df-2c786cb4-d881-4026-86a4-6407e5e200fd\">\n",
              "    <div 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>Ticker Symbol</th>\n",
              "      <th>Security</th>\n",
              "      <th>GICS Sector</th>\n",
              "      <th>GICS Sub Industry</th>\n",
              "      <th>Current Price</th>\n",
              "      <th>Price Change</th>\n",
              "      <th>Volatility</th>\n",
              "      <th>ROE</th>\n",
              "      <th>Cash Ratio</th>\n",
              "      <th>Net Cash Flow</th>\n",
              "      <th>Net Income</th>\n",
              "      <th>Earnings Per Share</th>\n",
              "      <th>Estimated Shares Outstanding</th>\n",
              "      <th>P/E Ratio</th>\n",
              "      <th>P/B Ratio</th>\n",
              "      <th>km_group</th>\n",
              "      <th>km_group3</th>\n",
              "      <th>ag_group</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>52</th>\n",
              "      <td>C</td>\n",
              "      <td>Citigroup Inc.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>51.750000</td>\n",
              "      <td>4.714695</td>\n",
              "      <td>1.261984</td>\n",
              "      <td>8</td>\n",
              "      <td>99</td>\n",
              "      <td>-11208000000</td>\n",
              "      <td>17242000000</td>\n",
              "      <td>5.41</td>\n",
              "      <td>3.187061e+09</td>\n",
              "      <td>9.565619</td>\n",
              "      <td>-1.167533</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>123</th>\n",
              "      <td>F</td>\n",
              "      <td>Ford Motor</td>\n",
              "      <td>Consumer Discretionary</td>\n",
              "      <td>Automobile Manufacturers</td>\n",
              "      <td>14.090000</td>\n",
              "      <td>2.398256</td>\n",
              "      <td>1.151454</td>\n",
              "      <td>26</td>\n",
              "      <td>43</td>\n",
              "      <td>3515000000</td>\n",
              "      <td>7373000000</td>\n",
              "      <td>1.86</td>\n",
              "      <td>3.963978e+09</td>\n",
              "      <td>7.575269</td>\n",
              "      <td>5.108756</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>177</th>\n",
              "      <td>JPM</td>\n",
              "      <td>JPMorgan Chase &amp; Co.</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>66.029999</td>\n",
              "      <td>8.033377</td>\n",
              "      <td>1.130337</td>\n",
              "      <td>10</td>\n",
              "      <td>99</td>\n",
              "      <td>-7341000000</td>\n",
              "      <td>24442000000</td>\n",
              "      <td>6.05</td>\n",
              "      <td>4.040000e+09</td>\n",
              "      <td>10.914049</td>\n",
              "      <td>-1.886881</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>181</th>\n",
              "      <td>KO</td>\n",
              "      <td>Coca Cola Company</td>\n",
              "      <td>Consumer Staples</td>\n",
              "      <td>Soft Drinks</td>\n",
              "      <td>42.959999</td>\n",
              "      <td>6.812526</td>\n",
              "      <td>0.889913</td>\n",
              "      <td>29</td>\n",
              "      <td>74</td>\n",
              "      <td>-1649000000</td>\n",
              "      <td>7351000000</td>\n",
              "      <td>1.69</td>\n",
              "      <td>4.349704e+09</td>\n",
              "      <td>25.420118</td>\n",
              "      <td>-1.466307</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>246</th>\n",
              "      <td>PFE</td>\n",
              "      <td>Pfizer Inc.</td>\n",
              "      <td>Health Care</td>\n",
              "      <td>Pharmaceuticals</td>\n",
              "      <td>32.279999</td>\n",
              "      <td>3.130991</td>\n",
              "      <td>1.238748</td>\n",
              "      <td>11</td>\n",
              "      <td>79</td>\n",
              "      <td>298000000</td>\n",
              "      <td>6960000000</td>\n",
              "      <td>1.13</td>\n",
              "      <td>6.159292e+09</td>\n",
              "      <td>28.566371</td>\n",
              "      <td>-4.213309</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>287</th>\n",
              "      <td>T</td>\n",
              "      <td>AT&amp;T Inc</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>34.410000</td>\n",
              "      <td>5.942118</td>\n",
              "      <td>0.859442</td>\n",
              "      <td>11</td>\n",
              "      <td>11</td>\n",
              "      <td>-3482000000</td>\n",
              "      <td>13345000000</td>\n",
              "      <td>2.37</td>\n",
              "      <td>5.630802e+09</td>\n",
              "      <td>14.518987</td>\n",
              "      <td>-23.537323</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>317</th>\n",
              "      <td>VZ</td>\n",
              "      <td>Verizon Communications</td>\n",
              "      <td>Telecommunications Services</td>\n",
              "      <td>Integrated Telecommunications Services</td>\n",
              "      <td>46.220001</td>\n",
              "      <td>6.277303</td>\n",
              "      <td>0.842592</td>\n",
              "      <td>109</td>\n",
              "      <td>14</td>\n",
              "      <td>-6128000000</td>\n",
              "      <td>17879000000</td>\n",
              "      <td>4.38</td>\n",
              "      <td>4.081963e+09</td>\n",
              "      <td>10.552512</td>\n",
              "      <td>-26.380687</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>320</th>\n",
              "      <td>WFC</td>\n",
              "      <td>Wells Fargo</td>\n",
              "      <td>Financials</td>\n",
              "      <td>Banks</td>\n",
              "      <td>54.360001</td>\n",
              "      <td>5.532912</td>\n",
              "      <td>0.969774</td>\n",
              "      <td>12</td>\n",
              "      <td>99</td>\n",
              "      <td>-460000000</td>\n",
              "      <td>22894000000</td>\n",
              "      <td>4.18</td>\n",
              "      <td>5.477033e+09</td>\n",
              "      <td>13.004785</td>\n",
              "      <td>-0.938007</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
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              "    <tr>\n",
              "      <th>331</th>\n",
              "      <td>XOM</td>\n",
              "      <td>Exxon Mobil Corp.</td>\n",
              "      <td>Energy</td>\n",
              "      <td>Integrated Oil &amp; Gas</td>\n",
              "      <td>77.949997</td>\n",
              "      <td>3.656915</td>\n",
              "      <td>1.370062</td>\n",
              "      <td>9</td>\n",
              "      <td>7</td>\n",
              "      <td>-911000000</td>\n",
              "      <td>16150000000</td>\n",
              "      <td>3.85</td>\n",
              "      <td>4.194805e+09</td>\n",
              "      <td>20.246752</td>\n",
              "      <td>-2.706443</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "      <td>4</td>\n",
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        "* From our analyses earlier, recall that group 4 has a steady positive price change.\n",
        "* While the price is going up, the stocks are still affordable and are not overvalued (P/E ratio).\n",
        "* There is a good mix of GICS sectors in this group.\n",
        "\n",
        "This would be the group I would build a portfolio on. What's more, this group is a subset of the k-means group just described! Summarily, both clustering methods identified a group with almost the same high-performing, diversified stocks."
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