Galton's_Height_Data_Linear_Regression.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Galton's Height Data Linear Regression",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# **Galton's Height Data Linear Regression**"
      ],
      "metadata": {
        "id": "dw6jKu7oB4PD"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Import Library**"
      ],
      "metadata": {
        "id": "A6K9_bJvjiLl"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "dsyzYCFKBz3V"
      },
      "outputs": [],
      "source": [
        "import pandas as pd"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np"
      ],
      "metadata": {
        "id": "ZKYA7t99YNQF"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt"
      ],
      "metadata": {
        "id": "u9GCZcLoTeSH"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import seaborn as sns"
      ],
      "metadata": {
        "id": "iVFkBm2-CzXQ"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Import Data**"
      ],
      "metadata": {
        "id": "pKEgxBeLjmP6"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df = pd.read_csv(r'https://github.com/YBI-Foundation/Dataset/raw/main/Francis%20Galton%20Regression%20Data.txt', delimiter= '\\t')"
      ],
      "metadata": {
        "id": "J7HoiTTpB6B5"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "df.head()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 206
        },
        "id": "XZVm-MXWCCux",
        "outputId": "a00fe371-665b-4c49-81b4-7d66405e6764"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-65636b5b-99a7-4c9c-9609-0aeb74d782c8\">\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>Family</th>\n",
              "      <th>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Gender</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>1</td>\n",
              "      <td>78.5</td>\n",
              "      <td>67.0</td>\n",
              "      <td>M</td>\n",
              "      <td>73.2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>1</td>\n",
              "      <td>78.5</td>\n",
              "      <td>67.0</td>\n",
              "      <td>F</td>\n",
              "      <td>69.2</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1</td>\n",
              "      <td>78.5</td>\n",
              "      <td>67.0</td>\n",
              "      <td>F</td>\n",
              "      <td>69.0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>1</td>\n",
              "      <td>78.5</td>\n",
              "      <td>67.0</td>\n",
              "      <td>F</td>\n",
              "      <td>69.0</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>2</td>\n",
              "      <td>75.5</td>\n",
              "      <td>66.5</td>\n",
              "      <td>M</td>\n",
              "      <td>73.5</td>\n",
              "      <td>4</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-65636b5b-99a7-4c9c-9609-0aeb74d782c8')\"\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-65636b5b-99a7-4c9c-9609-0aeb74d782c8 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-65636b5b-99a7-4c9c-9609-0aeb74d782c8');\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",
              "  "
            ],
            "text/plain": [
              "  Family  Father  Mother Gender  Height  Kids\n",
              "0      1    78.5    67.0      M    73.2     4\n",
              "1      1    78.5    67.0      F    69.2     4\n",
              "2      1    78.5    67.0      F    69.0     4\n",
              "3      1    78.5    67.0      F    69.0     4\n",
              "4      2    75.5    66.5      M    73.5     4"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "df.info()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "XcYw_VLsCX9s",
        "outputId": "498b5318-5319-4b79-da9d-d8f8794e1edd"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 898 entries, 0 to 897\n",
            "Data columns (total 6 columns):\n",
            " #   Column  Non-Null Count  Dtype  \n",
            "---  ------  --------------  -----  \n",
            " 0   Family  898 non-null    object \n",
            " 1   Father  898 non-null    float64\n",
            " 2   Mother  898 non-null    float64\n",
            " 3   Gender  898 non-null    object \n",
            " 4   Height  898 non-null    float64\n",
            " 5   Kids    898 non-null    int64  \n",
            "dtypes: float64(3), int64(1), object(2)\n",
            "memory usage: 42.2+ KB\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob 1 : Calculate the correlation matrix between Height, Father and Mother."
      ],
      "metadata": {
        "id": "RejBQTIdCiQ3"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.corr()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 174
        },
        "id": "lMoPCyLUCFDE",
        "outputId": "4950abe7-4b49-4008-dd65-93511e9e3b25"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-0a690dc2-753f-4c97-b586-36f42c331a99\">\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>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>Father</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.073665</td>\n",
              "      <td>0.275355</td>\n",
              "      <td>-0.160023</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Mother</th>\n",
              "      <td>0.073665</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.201655</td>\n",
              "      <td>-0.020030</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Height</th>\n",
              "      <td>0.275355</td>\n",
              "      <td>0.201655</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.126910</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Kids</th>\n",
              "      <td>-0.160023</td>\n",
              "      <td>-0.020030</td>\n",
              "      <td>-0.126910</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-0a690dc2-753f-4c97-b586-36f42c331a99')\"\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-0a690dc2-753f-4c97-b586-36f42c331a99 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-0a690dc2-753f-4c97-b586-36f42c331a99');\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",
              "  "
            ],
            "text/plain": [
              "          Father    Mother    Height      Kids\n",
              "Father  1.000000  0.073665  0.275355 -0.160023\n",
              "Mother  0.073665  1.000000  0.201655 -0.020030\n",
              "Height  0.275355  0.201655  1.000000 -0.126910\n",
              "Kids   -0.160023 -0.020030 -0.126910  1.000000"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob  :  Create a matrix of scatterplots of the columns Height, Father and Mother. This is a graphical representation of the correlation matrix calculated above."
      ],
      "metadata": {
        "id": "WI_u4VbLCnPE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "sns.pairplot(df)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 744
        },
        "id": "6mDmFGiwClo9",
        "outputId": "cbaf7a82-9023-4e9f-a3e4-cc0cd55e056c"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.PairGrid at 0x7f683824d210>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 720x720 with 20 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : Fit Simple Regression Height (y) and Father Height (X)"
      ],
      "metadata": {
        "id": "WaRaAx6Shmvm"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "04ctXzQMEEBY"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "y = df['Height']"
      ],
      "metadata": {
        "id": "IPV3tfUUDcnT"
      },
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "X = df['Father']"
      ],
      "metadata": {
        "id": "wns2ro0yEMTe"
      },
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "slope = ((df['Father']-df['Father'].mean())*(df['Height']-df['Height'].mean())).sum()/((df['Father']-df['Father'].mean())**2).sum()"
      ],
      "metadata": {
        "id": "Py7CPdUkEQ_a"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "slope"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "H9c240IpEieh",
        "outputId": "3f4d7d9d-0c43-489f-ba6c-0036e17ee3b9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.3993812658985653"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "intercept = y.mean()-slope*X.mean()"
      ],
      "metadata": {
        "id": "nw2rGDSNFROB"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "intercept"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "aRp6hiOqFb3_",
        "outputId": "379fe122-fe32-4780-ec20-355f90edcd09"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "39.110386837075346"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X = df[['Father']]\n",
        "y = df['Height']\n",
        "from sklearn.linear_model import LinearRegression\n",
        "lr = LinearRegression()\n",
        "lr.fit(X,y)\n",
        "print(lr.intercept_)\n",
        "print(lr.coef_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yajAckG1FeMa",
        "outputId": "d5c39434-e8d3-4909-db8e-f0b17da970ab"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "39.11038683707541\n",
            "[0.39938127]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sns.lmplot(x = 'Father', y = 'Height', data = df)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 386
        },
        "id": "BP7tDSVZQt_4",
        "outputId": "f8d79568-e056-4b23-c9ce-c5846a760941"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<seaborn.axisgrid.FacetGrid at 0x7fadb7aff510>"
            ]
          },
          "metadata": {},
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 360x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sns.regplot(x = 'Father', y = 'Height', data = df)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "CEyHRQAKeb5w",
        "outputId": "46f71827-8b64-416f-abf2-047575dde160"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f683340d1d0>"
            ]
          },
          "metadata": {},
          "execution_count": 15
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob 3 : Fit a multiple regression model predicting children’s height (Height) from father’s height (Father), mother’s height (Mother), and gender (Gender). In other words, the model should contain the following terms:\n",
        "\n",
        "Height^Children=β0+β1fgender+β2HeightFather+β3HeightMother,\n",
        "where H^Children is the predicted height (in inches) of the adult children, HeightFather and HeightMother are the height (in inches) of the father and mother, respectively. fgender is a binary variable: fgender=0 for males and fgender=1 for females."
      ],
      "metadata": {
        "id": "eUZ5VroHC_nc"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df['Gender'] = df['Gender'].replace({'M':0,'F':1})\n",
        "X = df[['Gender', 'Father', 'Mother']]\n",
        "y = df['Height']\n",
        "from sklearn.linear_model import LinearRegression\n",
        "lr = LinearRegression()\n",
        "lr.fit(X,y)\n",
        "print(lr.intercept_)\n",
        "print(lr.coef_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NaKIwATIhlz7",
        "outputId": "b6474307-59a8-41de-f3d6-80e80b598c81"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "20.570711329351845\n",
            "[-5.22595131  0.40597803  0.32149514]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Height = 20.57 - 5.22 * Gender + 0.40 * Father + 0.32 * Mother + error**"
      ],
      "metadata": {
        "id": "BBzYOzrFmr5A"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob  : Plot the residuals versus the fitted values for the multiple regression model above."
      ],
      "metadata": {
        "id": "zJfjCxOrR6ci"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "y_pred = lr.predict(X)"
      ],
      "metadata": {
        "id": "nzzKSNFwSq3F"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "residual = y-y_pred"
      ],
      "metadata": {
        "id": "v6vM_VOhS7e6"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "residual.shape, y.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "d7yDeEX3TDuL",
        "outputId": "210226a4-7903-4419-906d-c9540e482211"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "((898,), (898,))"
            ]
          },
          "metadata": {},
          "execution_count": 21
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.scatter( x = y_pred, y = residual);"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "Om5hdyQDC3PC",
        "outputId": "1b0dcff4-c347-4233-c3eb-6694de64a773"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : Calculate the means of Father’s and Mother’s heights in the data set. Then show that Father’s mean height is about 8% higher than Mother’s mean height."
      ],
      "metadata": {
        "id": "itGZOVnWUIs8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "IlOJVFGHScpn",
        "outputId": "66f28dd6-b2ec-434a-e311-48ff91b0fa49"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-42db6c0f-b7a6-4dd8-88f6-f94ecc1f98bb\">\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>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Gender</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>69.232851</td>\n",
              "      <td>64.084410</td>\n",
              "      <td>0.482183</td>\n",
              "      <td>66.760690</td>\n",
              "      <td>6.135857</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>2.470256</td>\n",
              "      <td>2.307025</td>\n",
              "      <td>0.499961</td>\n",
              "      <td>3.582918</td>\n",
              "      <td>2.685156</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>62.000000</td>\n",
              "      <td>58.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>56.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>68.000000</td>\n",
              "      <td>63.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>64.000000</td>\n",
              "      <td>4.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>69.000000</td>\n",
              "      <td>64.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>66.500000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>71.000000</td>\n",
              "      <td>65.500000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>69.700000</td>\n",
              "      <td>8.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>78.500000</td>\n",
              "      <td>70.500000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>79.000000</td>\n",
              "      <td>15.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-42db6c0f-b7a6-4dd8-88f6-f94ecc1f98bb')\"\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-42db6c0f-b7a6-4dd8-88f6-f94ecc1f98bb 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-42db6c0f-b7a6-4dd8-88f6-f94ecc1f98bb');\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",
              "  "
            ],
            "text/plain": [
              "           Father      Mother      Gender      Height        Kids\n",
              "count  898.000000  898.000000  898.000000  898.000000  898.000000\n",
              "mean    69.232851   64.084410    0.482183   66.760690    6.135857\n",
              "std      2.470256    2.307025    0.499961    3.582918    2.685156\n",
              "min     62.000000   58.000000    0.000000   56.000000    1.000000\n",
              "25%     68.000000   63.000000    0.000000   64.000000    4.000000\n",
              "50%     69.000000   64.000000    0.000000   66.500000    6.000000\n",
              "75%     71.000000   65.500000    1.000000   69.700000    8.000000\n",
              "max     78.500000   70.500000    1.000000   79.000000   15.000000"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : Calculate the mean heights of the adult male and female children in the data set. Then show that male children’s mean height is also about 8% higher than female children’s mean height. "
      ],
      "metadata": {
        "id": "UjHlWwR0UWut"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.groupby(['Gender']).mean()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 143
        },
        "id": "aF-YgoqkUMfi",
        "outputId": "289b8508-7a2a-46f4-bb24-9c4d68856dfc"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-65e7a409-03a3-4f54-8769-680fadf56e10\">\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>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Gender</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>69.168172</td>\n",
              "      <td>64.005161</td>\n",
              "      <td>69.228817</td>\n",
              "      <td>5.972043</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>69.302309</td>\n",
              "      <td>64.169515</td>\n",
              "      <td>64.110162</td>\n",
              "      <td>6.311778</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-65e7a409-03a3-4f54-8769-680fadf56e10')\"\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-65e7a409-03a3-4f54-8769-680fadf56e10 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-65e7a409-03a3-4f54-8769-680fadf56e10');\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",
              "  "
            ],
            "text/plain": [
              "           Father     Mother     Height      Kids\n",
              "Gender                                           \n",
              "0       69.168172  64.005161  69.228817  5.972043\n",
              "1       69.302309  64.169515  64.110162  6.311778"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "69.2/64.11-1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7STKqdVMUcAs",
        "outputId": "1aa20ac4-9f4b-4689-d9df-7e8e12504686"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.07939479020433637"
            ]
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : Calculate the medians of Father’s and Mother’s heights in the data set. Then show that Father’s median height is about 8% higher than Mother’s median height."
      ],
      "metadata": {
        "id": "5W4LtTJKU0RK"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.describe()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 300
        },
        "id": "YyMY2n0kUhs5",
        "outputId": "f8dae39f-4b44-4cbd-8bc5-19de2aebce88"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-991d158b-1f41-4605-80d3-415a8ef24f6a\">\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>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Gender</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "      <td>898.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>69.232851</td>\n",
              "      <td>64.084410</td>\n",
              "      <td>0.482183</td>\n",
              "      <td>66.760690</td>\n",
              "      <td>6.135857</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>2.470256</td>\n",
              "      <td>2.307025</td>\n",
              "      <td>0.499961</td>\n",
              "      <td>3.582918</td>\n",
              "      <td>2.685156</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>62.000000</td>\n",
              "      <td>58.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>56.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>68.000000</td>\n",
              "      <td>63.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>64.000000</td>\n",
              "      <td>4.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>69.000000</td>\n",
              "      <td>64.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>66.500000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>71.000000</td>\n",
              "      <td>65.500000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>69.700000</td>\n",
              "      <td>8.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>78.500000</td>\n",
              "      <td>70.500000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>79.000000</td>\n",
              "      <td>15.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-991d158b-1f41-4605-80d3-415a8ef24f6a')\"\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-991d158b-1f41-4605-80d3-415a8ef24f6a 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-991d158b-1f41-4605-80d3-415a8ef24f6a');\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",
              "  "
            ],
            "text/plain": [
              "           Father      Mother      Gender      Height        Kids\n",
              "count  898.000000  898.000000  898.000000  898.000000  898.000000\n",
              "mean    69.232851   64.084410    0.482183   66.760690    6.135857\n",
              "std      2.470256    2.307025    0.499961    3.582918    2.685156\n",
              "min     62.000000   58.000000    0.000000   56.000000    1.000000\n",
              "25%     68.000000   63.000000    0.000000   64.000000    4.000000\n",
              "50%     69.000000   64.000000    0.000000   66.500000    6.000000\n",
              "75%     71.000000   65.500000    1.000000   69.700000    8.000000\n",
              "max     78.500000   70.500000    1.000000   79.000000   15.000000"
            ]
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "69/64-1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Qj4t7T34U7KP",
        "outputId": "0403bca7-a2b8-4316-d3f2-4a0e4a1a0552"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.078125"
            ]
          },
          "metadata": {},
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : Compute the correlation in heights between mothers and daughters, mothers and sons, fathers and daughters, and fathers and sons."
      ],
      "metadata": {
        "id": "dsMI9f3wVaaE"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "df.groupby(['Gender']).corr()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 331
        },
        "id": "A-PlO7BwU-L_",
        "outputId": "b4aec8f2-4826-4ed1-b81b-da0344dd725f"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "\n",
              "  <div id=\"df-271a2f34-7b5b-49a3-867e-8fcaf6accd0f\">\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></th>\n",
              "      <th>Father</th>\n",
              "      <th>Mother</th>\n",
              "      <th>Height</th>\n",
              "      <th>Kids</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Gender</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 rowspan=\"4\" valign=\"top\">0</th>\n",
              "      <th>Father</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.106335</td>\n",
              "      <td>0.391317</td>\n",
              "      <td>-0.091266</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Mother</th>\n",
              "      <td>0.106335</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.334131</td>\n",
              "      <td>-0.004485</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Height</th>\n",
              "      <td>0.391317</td>\n",
              "      <td>0.334131</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.112378</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Kids</th>\n",
              "      <td>-0.091266</td>\n",
              "      <td>-0.004485</td>\n",
              "      <td>-0.112378</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th rowspan=\"4\" valign=\"top\">1</th>\n",
              "      <th>Father</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.041074</td>\n",
              "      <td>0.458761</td>\n",
              "      <td>-0.226864</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Mother</th>\n",
              "      <td>0.041074</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.313698</td>\n",
              "      <td>-0.041436</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Height</th>\n",
              "      <td>0.458761</td>\n",
              "      <td>0.313698</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>-0.122937</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>Kids</th>\n",
              "      <td>-0.226864</td>\n",
              "      <td>-0.041436</td>\n",
              "      <td>-0.122937</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-271a2f34-7b5b-49a3-867e-8fcaf6accd0f')\"\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-271a2f34-7b5b-49a3-867e-8fcaf6accd0f 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-271a2f34-7b5b-49a3-867e-8fcaf6accd0f');\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",
              "  "
            ],
            "text/plain": [
              "                 Father    Mother    Height      Kids\n",
              "Gender                                               \n",
              "0      Father  1.000000  0.106335  0.391317 -0.091266\n",
              "       Mother  0.106335  1.000000  0.334131 -0.004485\n",
              "       Height  0.391317  0.334131  1.000000 -0.112378\n",
              "       Kids   -0.091266 -0.004485 -0.112378  1.000000\n",
              "1      Father  1.000000  0.041074  0.458761 -0.226864\n",
              "       Mother  0.041074  1.000000  0.313698 -0.041436\n",
              "       Height  0.458761  0.313698  1.000000 -0.122937\n",
              "       Kids   -0.226864 -0.041436 -0.122937  1.000000"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Prob : \n",
        "\n",
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "RNGCw12ZXjTW"
      }
    },
    {
      "cell_type": "code",
      "source": [
        ""
      ],
      "metadata": {
        "id": "wu0kBwaFVkPA"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA+0AAANbCAYAAAA31H57AAAgAElEQVR4nOzdcWhUd/7/++del/F+5ZtFiLgw0h+OXTqSH51amEFw/Mkm64/Elk3cLzFdauoPo8tP00uSLWvaS6OXa9J7NS3dKNfEy2rK18aljeHW+P3VRq4bf/jtCDLC2sgvmLJ15FccuGJAdr7k0uGK949oazRqYjVzNM8HCPGcM+e8Z04+OfM653M+5yc3b968iSRJkiRJCpz/odAFSJIkSZKkyRnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgAhfac18P0LljK+tWx4nH48RXr2Prjh5Sl3OPuMYhOuK31rV36DFWmmekr4WtG5rpGc4/xvVKkiRJkjQuUKE9e6yR8tdb6D6eJnP91sTrGdLHO2isrqT5eLag9U0wOkjnrgHSw4N07P+C0ULXI0mSJEl65gQntH/bS8vOFHmAxVU0HzjGqZOnOHagmarFADkGd3QwcP3Bq3nsrvbTONmV+uIEa8qLCVFEWUWC4hkuS5IkSZL07AtMaM+NDHE7Ete89TY1y8IUzS8ivKyGt9+quTVnkC/PPWo3+cetmIr3TnDm3CnaXwk/0S1ljzdTGo9T+s4A2RtPdFOSJEmSpAAJTGgvmr/g+58vXr4yYV5oeROnTp7i1MlTvL2q6IcZV9P03HH/+4pX6mg5lGb0YcH2jqvnjcdG7zt99Fgj8VdaSd2ef6iOeDxOx3l40L3yua8H6Ni2nvJV4/NLq5vpODFC7o66Ro81jr823kHqmwE6tq2jNB4nHi+lblc/mbHvlyQ9MEgOyJ38grT98CVJkiRp1ghMaCdWRt3i8R+HPlxH6Zsd9J/Pkr8BzAlRNL9o/F/o1vLZfhqrt9Jxx/3v+atDDOzdyq/f6GRobLKNPHn58x3Uvd5Cz6kRRm/VkLs8SM+766l8d7Ir5b1s29hCz6kM430Icgz1tbJ+X3r8VgGKWbOlibKSKGUN9axZOHPvRZIkSZJUWMEJ7aEY9Xvbb92/DrmzPbRurmRFaTmNewcYmdArPkvvu62kxoB5SeoPHOPUyRMc3pYkBOS/7qb105EfXVJx5R7OHd9O8vaEDd2cO3eOpmX3eUE+TUdDDxmAxTW09Z3g1Mlj7HktMv6eTu6k89Td3fvzLPp1G0eOn+LUZ3uoufX+85+muHhriVBJLe2HDtO+IUoISZIkSdJsEZzQDhAuY/unJ+jeUUty4a14OjZK6lAL619dT+f5W49Wu/wl/RfGf4w1vE3dsjBF84uJvtbGjtXj0zMf/YXH+YC3qcifO0XvGECImm1NVCwupmh+mORbbdSHAfIMHE/dNdJ8ktr/VEFkYRFFzyVZty56a3qGzNWZrV+SJEmSFCzBCu0Ac4qJVTax5/gZzhzrZvuGBEUAYyN0N+xk8DpwPcvt6+ixX9w5CFwR0Zdvhd6xEbIzfP937trte/ETRCN3XBOfEyG64tbP5y5x5e4X3uFn/7DgAXMlSZIkSbNJQEJ7nuyFNOmzadJnb9/bDaFwjKqGLvp2lo1PGBtg8CGjx+fHgjK6/J2+47sgliVJkiRJCrSAhPbvuPjJVra+uZWtb3aRuutZ7MULf7ianhvLw/ww33ci/+93Xk7PkRnJjv84L0p4hh+eXrRg0a2f0mSyd8y4keXyre78xJewCEmSJEmSHi4gob2IlZU1twZZG2TnHzoZGM6Su55j9HKKzv29t5YL89LSYli8kqoXx6ekPthJ7/AoueujjBzr4ODJW0tu+BWx+23uH4q4/eC41MkvGLmaI3d1hP79PT883u22+Qt+CNl/u0jmem58RPtJhOKl1MwDyNPT1k7q2xy561nSf9rNgVshvqw8yXTPJeSHe2jesJ7mQyO3RpSXJEmSJM0GPy10AbeFljfx0ZsX2bhviPz5blo2dN+zTGRDG7UvAISpeW87qd+2khpL0b6hnPY7F1xcS9vr0Xte/72iBGXlIQZO5OFMB+tf6XhAYREWvwhcAM60s251O7UH7jOCfChB095a0pt7yFzupfE3vRNnr9pO0+qiSV74IKN8sb+DwWFguJMvKvZQ5WPfJEmSJGlWCMiVdoAQ0Y3dnOjbQ9MrCSLzb08vIrK8gqZ9JzjSEPvhkWfhKvb0dU1YNrQwRkVDFyc+bSI270HbKqLs3cNsr45RPG9828WratnzURsV9ywbpua9dmqWFY9ve14xP5vzgHexrInuP7dRWxq9tW4oWlxG7XuHOfF+FeEHvHZyxSQqyigCilavITHDXf4lSZIkSYXzk5s3b94sdBGSJEmSJOleAbrSLkmSJEmS7mRolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJARXI0D56toeWN9dRGo8Tj6+g/PVmOk6MkLtR6MqeMVf7aYzHaTw2+uS3dSNLam8z61aP79PmE9Pb5uixRuLxRvqv3p4yREc8Tnzv0GMv9YGuDtC4agVbP8vO7HZ/tFH6G+LEG/p5+CdfoM9WkiRJ0j1+WugCJsoztHc9dYcyFC2vYdOOJqJzr5A63U/vu+vpP9XG4fcqCM8pdJ2anjxD+7bQeOga0fIm2ioXEA4XF7qoR/Pdd+SBv/+/3xW6EkmSJEmzQKCutOdO7mTLoSsktx3hxL5maiuTJMpraHrvMH3vJsmd3EnnqVyhyxx3voP4TF2lvo+hvfG7rj4/nmUfv4t82ZeF1TvY/14tFcsriD1XiDoeg+eq6Dp9hsOvR2Z804Xdh5IkSZIKIUChfYQjewfIl9TTVB0hdNfc8Ku11MzLM3A8NYXuvQqa/BgQDlNU6EIkSZIk6SkSnNB++Sv+koXoq0kik3V/Dy2loqGOuhdCTOiYnBuhf1cd5avixONxSqub6TiRIX/nMt/fu50hc6KDxldWEI/HWfFKIx2n7703Ofd1P+2by1kRjxOPl7JuWwcD3+QnrCu+uQeA1M5y4vE4HefhzvuG0yfbqXtlBfF4B0Pw/ZX58eUmq+2uUxFX03RvW3/rfa2gfHM7/V+P9zIYv787Tt0hgBStr8R/2M5dprbs3+/6XOpoPznJPds3RkkfuH1f+vhn3X32wadQxq8O19EDcKiOePze+6pHz3bTXF06Pm9VOXU7ekj/iDMzD1tf7mQL8Xgl3V/f+ao8qV1x4pXdjNw5dsKNITpWxVnxfnr8d+qe/fXDPs98M0DHW7d+b1aV07g3RfbucRgmfIa39us3mfF13Oce8ofuwxs5Rk50THzPu/oZuU+nlGsXemnZeGvZ1etoPpBmdCrjRUxh/2f+vJ4Vq9bT880U1idJkiTpoYIT2q9nGQEixQvus0ARsep66reUEb49KdtP46vraT05lzV/2EPXvjY2Ra/Q++461u8dmhjcgcyhZur++RrRLe+zZ0cdZfPT9LzVOCG85c93UPd6K1/MXcPbH3bR9d4mold6aXlt/fhy8xNs2tdF11tlAERfb6NrXxdVi+/Y0PndNL7zBbl/v5a615dO/+ry5V7qqrdy4EqEN97touvDt1kz9wtaX6+j43yeovgmuvZ10bQaIErte1107atisg7bU1n23s/lIr3vTPxcGBui47Vytn6SI9nww2d94M1f03js/oOyRV7tomtfE2UAq5vo2tdF1+8Stz6TPEN711H+5gGuRDfRtq+LPX9Yw9wzHWz9TSP90x7rbWrrK4olSJLlq4t3BM78V6SOA9mjpO4MnN+cY3AM1iZfuqf3xwSXe2j+zx9z7YV63v9wO3X/YQHpQ400Hhq5Y6FRBrb9mq37vyS0vI7tH75Pffzv9G5cR+uZ+6/6wftwlIFt5ax/NwWVb9N16z1zvJX1G+86AQFwfjcbf3+Kn736Nl0fbqdueYgv929ly75728sEU93//1+e/NgD1yRJkiRpGgI2EB0sWDDViJtjcN9uUlTQ9mkbFbfGNUssryD57+tY92ELnav6aFr2Q9TKhms59seqWwPZJUm+vIDsb9o5mhqh7oUokOPLIz1kqKVrbxOJOQAJEssXkF/dQud/SVP3VoLY8jDMTY3X+4sEieV3Dao2lqDpsz3UPNJ921l6/9d2hubX0nWgicS8W+8rmSDy+0pad/Sw5lgdiTDMPQuwgMjLCRILJ19bKBx76LL3+1wODA5R90IMgJFPW+m5nGT7sT1UhW9/1mVEin5J4wc9pCuaSUySaoueT5B4fi4pgHCMxPLYDzO/7qH1UIbIlsMc3hy9NTFBsjRB+6uNtO7qZ+XeKqY8ZN1U17dwJWUroPXsV+Qqy8ZPIAynODoWJVoycsfvA4xe/IosFcRffGBkh2yY2js+m+SqBAuylbR/lmJkY5QokD97kJ2n88S2HaH7tVunTVYlqapM0FjZOv4ZTeKB+/DyX/jiWoSK9/bSVn77k0qQmJ9jxVsH+MtwHdEX71xbgrcP3bEPV60hUVzN1kOt9L56hNrnJ69hqvs/suEI5zY8+KOSJEmSNHXBudI+XaMp+k/kCW944/vAflukehM1ZOk9fXHC9OTqlRNHnn9uKTEgm7vd4b6IBT8PARlG7uxbPL+CtpOnOPW7l6ZW24oyfvWoA62NDpG6ANH1Vd8HdgDmhCmra6bulX/ku8c8Ft/9Ppf89xdMh/jLRxmormFN+M5XhkisWgtjX3Lh8vS3OzR4gAxlbKqOTpxRlGTdm1E4M8iX0xh0berrKyaWjMKJcwzdeo9Dp3vJl2/i7VejZE99RQaAHF+dTcGKBC897FzSijJWTvhswix9Gcj+/fvbOS7+9Sh5klSV3tUnIhyZtJfElCyuYc+hw3cE9nGhnxUBeUYyd91nsOzuOkMk/qmWKBlSQ/fr2vBk9r8kSZKkhwvclfZr13IwlQ7l314kBSTDk3SnD4VZXAL5v2UYJTb1K7VAbPNHNI1soWNDKR3zioku/xVVv17HmmSEopl41Nyt91Xz3KJ7ZhUtq6F+2QzUcLerGUbGgL5GVvRNvsjfx6a70lEyw3mYt5jw/HvnLnruJaCXTBa4Ty+CH7O+yMu/IswBvhppJlkywrmTeSoaEsR+cY3o+/2kL9cQeS7D0L9CrCExrd+hyeW49m0eiBCZ0vuZhrEsqb5Oeo6lSF9+hDM6xQuIAAPfXgPC985/IvtfkiRJ0lQEJ7TPDxMFMqPXmDy058le+IorYwtYujzy/RJFoYd0W56ueVFq952i5tsRBs/+haGzp+h6q5f2+WW0HWqnYpJM8ySEHvf7egyKf9NM2+rJrwkvWDzp5Ieb/z8y99FLevT1PR+nbF4nqeEM9XNTHM2WUR8vgvkJqkraGTiXpSZ/jsGxKLXxx7HT5zL3SQydnx+ic0Md3ZTR9Ls9NL8cYUEIGOqi9K3ex7qpJ7L/JUmSJD1QcEL74pf4VRg6B9JkqiP3jiB/4yK9b26lJ97GieUReG4pSWDo2yxwV3foXIahYQhtiEzvCumNPLncdxAqoui5KBXPRamorqc520/jb1tp2TdI8r2yJ/vYslvvK/1NBuITA1I+O8RX38Kil2OEZzLTF4eJAKk5i3hpeeLBA7JNfaVESkJw5hJXchC960PNjHwJJIlMOS9Pc31zYpRVh+hJDTE4dpTsik0k5gNEeKk0TPvpNEOhr8iGf8VLjyWQhljw8zCQJXsdYpP0BngUudO9dF8OU3+ondqSO2b8bBp7afQaGSDx3H0GgXwi+1+SJEnSVATonvYoVVuShC500DHJaOTZzw/SOxai4pXkeBAvTrJmNWQ/+piBu27bzRzvYYAwNauWTrOGixysLKX0nf6Jj+r6eYzEYuD/zf8wwvac0PTCy7yfEQaG/jbxveUujpC+c0JxjOSLMHKkn6EJXY5zfLlvC1vfO0fu9gmN6VyN/zFX7ue8RPK1EPR10Hn+rpHBx0ZIPeSxb/cTW7WZMAN0fToyccZYiv6PsuP3iU+jK/l017c0vhbOHKTjsyzJ1Su/P8ETTa4lfKaH1kMpQqvjd58SemTR5WsJM0jviczEGZcvTvq4vntMsg/z+Rxwjb/ftVuyf8vcsywA5wf5csKvYJ70/9XDCDFK79ej4Antf0mSJEkPF5wr7UBx+Q7e/29baHyvmvJ/Xcum8lIiZEid7qf3xAiLKtupL/2+YzwVDdv54kwrLa+NcrGhluTPc4wc+5jOEyNENnRTv2yaQXVOjJo/JOnd2cr6hgxNryUJkyX1aQc9wyGSO++4t3nxUsqAgUOd9M5PsDRSQexBg889n2Tt4k46926jZewNqhZ/x8iZAQ72pe961FaYmv+5if7NHWzZfI36/1RF9B9u1XB2EbUHaoneCu2RX5QBA/Ts72XB8qVEymOT3ZE87WXvFSLx5n5qz9bR07CRa6/XsOblMPw/KXr29pCeX0vXR00kptsFoaSWtg1fULd/I+sz9bxRGaXo9jpJsv2daYwc/wjrC70Yp4JeBrIxal++Y84LSdaGO+m8HKJm23RP/DyovnU0lR+g+f31rB+q543KCN/99Qt6/zzAyMNfPfk+jK8hOS9FT8N6rq1NEp4H/3bhCL1n73dve5rdv11P+vUa1pTAVyd66TmRJbKhjbX3/f2d+v7PHFrHur3Q9On9R6KXJEmSNHWBCu3MKSa57TDHlvfQsf9TOt7tJU+I4mVl1H/YRtXdg8GFq9jzWZiePV18/EEjPWNQtLiMmvfaqC+PPFI33nDlHv4l3MMf93/M7rd6vt9+077fU3vno92KyqjfVUN2Vy/tbw1S/9FDQvucKHX/ZxfsaufjvS0MUESk9A3aD5TSs7l94rIv1HK4L0r3+x18/N5WRsdCFK+qoe3Pm6h44Yd3VVRaT3t1lta+dhpP19P9gCA+nWUnNS9G06EjLD3QxcG+VgYOQGhhlJW/3cOx18fD4vSFiDUc5ki0k64/HaTlzRzMKyb2yya6GmtJTHv0t2mur+glEitg4HoFiQn7LkqyMkzn/pUkX36cncGLKNv5L3RFdtP+SQctJ0IUL1tL/Ud7yLzWSM/DXj3ZPlxYwfsfQee+P9L7527y84qJvdLE4beg87VW0pevwJ2nKv7DDvp++3c693Sy7cAo+fkRyrZ08fbG2IPby1T3/09DhB7pd0GSJEnSZH5y8+bNm4UuQprV8inaVzTSu6Gbcw2xhy8vSZIkadYI0D3t0rMuT/qj7rvGKoDRU19wFKgoeeSntUuSJEl6RgWre7z0LMtfJP15J92H09Q21JL8OWTP9tBxKA2rtt8xXoMkSZIkjbN7vDSTboySPvxHuj4ZZOhqfvy+8H9q4u2NCYrvfsyhJEmSpFnP0C5JkiRJUkB5T7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQqonxa6AIBLly4VugRJkiRJkia1ZMmSgm07EKEdxj+E9vb2QpchPZNKSkoYHh4udBnSM8M2Jc0etndpdispKaGkpKSgNQQmtN/W3Nxc6BKkZ86lS5cYHh62fUmPiW1Kmj1s79LsFoRe4d7TLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmartE03dvWURqPE4+Xsm5bD0O5QhclSXoWGdolSZKmIz9E539u5Mvnmzl88hSnju9n3Y1O6hp6yRa6NknSM8fQLkmSNA35cwN05zfz9u8ShOcXUbQwSk1DE9ELKdJXC12dJOlZ89NCFyBJkvQ0CcW3curwXIrm3DlxLj8D5s6536skSXo0XmmXJEmajlARRUWhCZMy/9pPevUaksUFqkmS9MzySrskSdKPkD/fQfO+IrZ/UkFRoYuRJD1zDO2SJEmPKtvPtoYUsR17qAoXuhhJ0rPI7vGakvz5DtbF46zYlSJ/54zLvdTF48Qb+sneKFR10lPq+gDN8TjxjfeOOJ0/286KeJz1n2YKUpo0G037WDc2REfDbvjDHravNrFLT6OptfscA+/Eicfr6P327hWkaV8VJ76hF4/YelIM7ZqS0LJ6ml8Pk+/roOfr21NzDP6pgyFiNL9VRdjBd6TpmV9GVTVwYYAv7/oScPHsUfLEqFoRKUhp0mw0rWPd2BCdmxtJr97P+5UGdulpNbV2X0RZZQ0wxMDZu06zD6c4OgaxypV4xNaTYmjXFIVIbHmbmnkZOv/3XjI3IH+mi5YTeSJvvk3N4kLXJz2NQiRKawjd/SXgxgjnTubhxQpWPle46qTZZ4rHuhtZ+lu20P/vt/P+byN8dz1H7va/sYK+AUnTNrV2H4qXUjMPhj7/ckLvuJFzg+SJUbHck3d6cgztmrp5SbbuqCB0oYODJ1P0fNhLfnEd29dHC12Z9NQKvVzK2ru/BHyT4mgWYq+uxK8A0gybyrHuQi+tp/OMftZM5epSSu/8d2CocLVLejRTafehlyj9deiu3nEjpI5lPcmuJ86B6DQtRat/z45Vg7S82whEqD2wmVjooS+TdD+hBBXVIXoPDfDltzXUPAeZv/6FLDFqPWsvFcRDj3XLmjh3rqlQ5Ul6Ah7+HTdE4j/WEPq0h4GzWWqeC8Plr/hLFmIbPMmuJ8sr7ZqmYio21lIMsGwdNctM7NKPFVu9mTBDpP46CmRIfz4CK6r4lWftpQLxWCfNPlNo9y+uYXMYhk6nGQUyZ/sZIUnVKiO7nixDu6bnRobeD7sZBTjfQefJXKErkp5+0SRrw5A6+SWj36YZGIbk6pXjXxwkzTyPddLsM5V2PydKsjIMZwb58mqW9MAIrChj5cKZLlazjaFd05I91kH7hRA1Hx5m+4o8Azu7SDnojvTjzImS/M34l4CPP0sxRBlrVhnZpULxWCfNPlNt99FVawmTYvCTXlIXoOzVMk+y64kztGvqrg6w+48pQqt2sGlVlKr/qZ7IWC+796cnPtdS0rRFS2uJkqLnUApWl5GcX+iKpFnKY500+0yn3b9QSm0JpA71kKKMsuVFhahYs4yhXVM0ysCunaTGYjQ1VIyfUXyhlu0bwmT/3ErnOb/KSD/K4pVUvTj+Y1lpEr8CSIXgsU6afabb7iOsrIyN/+hJds0QQ7umZPTEH9l5+u5nsoeIbX6bmnlZenZ1MmTXQelHCJP4jxHwrL1UMB7rpNnnUdp9+OUyIniSXTPHR75pSorL2zhT3nbvjHlJmk+fo3nmS5KeMVnS/3cGyrd61l4qEI910uzzKO0++9dBMlSwdYWRXTPDK+2SFATDAxy5EKJqdcKz9pIkBdWNEQY+GSJUWUbCA7ZmiFfaJamAsqc6OXp2hP7jKUYX19O2ym8AkiQFzreDdH5+jpFjR0ldjVD/v5V5kl0zxivtklRA1745QndfGuJNdH9UR3ROoSuSJEn3uH6ZIwd6SZOg6aNu6l4odEGaTbzSLkkFFNt8inObC12FJEl6oBfrOHWurtBVaJbySrskSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgPrJzZs3bxa6iEuXLrFkyRIuXbpU6FKkZ1ZfXx/V1dWFLkOSJEl66ixZsqRg2/5pwbY8ib6+vkKXID2TSkpKANuY9LiUlJQwPDxc6DIkzQDbuzS7lZSUfP9dulACFdoBmpubC12C9My5dOkSw8PDti/pMbFNSbOH7V2a3YLQG9x72iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0K6pu5Fj5EQHzdWlxONx4vFS1r3ZQs+50UJXJj3VRs/20LK5nBXxOPH4Cso3t9Bz1nYlBdLVARpXxYnHG+m/WuhiJD1pucspenZsZf0rK2z3KpifFroAPS1GGXi3mpaT31G8ai1NG2IUXR9i4FAvHVsGSe/oY09luNBFSk+ZPCOHtrBx7xBzl9dQvyPJgnyaLz/vp+NN25UUPKMM7NpJaqzQdUh68vIM7d/IlgMj5OcVE/tlDXXhMJF/KHRdmo0M7ZqS/NmD7DyZI7LlMEc2R29NraCqOkl7RSO9H/Qy9GoTsTkFLVN6unx7lN17h6C8jb6dFRTPAUhS8ZsqYpvX0f5BD+mKZhKhQhcqCWD0+E52nl5EZHGGzOVCVyPpScoe28aWAyMsqmxjz7sVhP2OqwKye7ym5OLZXvIkqa2MTpwxL0npWmAsQ8bevNK05EaGGALWvlp2K7DfMifC0peBsStkrxeoOEkTZfvZuSvFog3baVpV6GIkPVH5ND0fpMiv2G5gVyB4pV1TkGdBaRddyxewdOH9llnEgvkzWZP09Cta3ca5c22TzMmTGwMooshueFLh3cjS/8FuUgvr6N4Sg/2FLkjSk5Q73ZT5UVcAACAASURBVE/vWIia9WsM7AoEQ7umIET4xQST3lk7luLUUQi9VmoXXulxyI8yMtBJR1+IaMMblBUVuiBJ2c93s/v0Iuo+2kwsBEOFLkjSE5UZHgBqiP/8K7q3tfPxqQw5ioiUVtHU0ETyuUJXqNnG0K5HdyNLf8s2eknS9p8SmNmlRze0N07dodv/i1Dzfh/NpQ5CJxVctp/dH6RY9OZh6l/0SCc9+0bJ/A3gKC0bjlIUX8u6zaUwliV1tIfG9Rm2f7KHKg/RmkGGdj2iPEP7Gmk9PZeafe9Tcd9u85KmIvJqF13L82RH0qQHeund1sh3u/awfbXfCqSCuZGlf1crqYX1HN4Qffjykp4piT9MfIpLfcUS1m3opHXfIGXvlWFnOM0UB6LTI8iT+XQbWw5dIbnjMM3LvfIg/VhFzydILE9StaGJto/72L7qCv3vdDDgQHRSwWSP7ab1TIzmD+qIel+rNMvUsOnux66WVFG7AjgxxMUbBSlKs5ShXdOWPbaN9e+nSWw7zPs+Q1p6/OaEWVO9FhhkaDhf6Gqk2Sk3SOd7KWCI9uo48fgP/8ZvZUnR+kqceLyR/qsFrlXSDCkm8guADFmfmqQZZPd4TUv2ZCuNO9NENu/n/dci3scu/Qijxxop35mh/s/HqHuh0NVImmDuUmr2dVE1yayRz7bScTJK7XtNJOfPZZFPT5GeIcUsfTkMZ4a4+C3EJgw6d/t+9wgRbw3VDDK0a8ry5ztofKcfNnTz0ZaYgV36kYp/8RJhUhz9L2lq37pjMMcbowx+fhRIEv2FLU0qiFCY2PLJe5PNPQuwgMjLCRJ+cZeeOdHSWmL72uk5kmZNY4Ki27fHfPMF/Wcg9FqSpQWtULONoV1Tkr/QyfrNPWSW1dIW/46vzqbvXWjeIl56MWyYl6aqpJa2DV9Qd2gr5d/UsKk8SYQMqRMH6T0LsXeaqDIQSJI0sxbX0LYjRfXOrVR+U8O6F//x1ujxA4zMS7J9vU9N0swytGtKcpkRMgDne2hp6Jl8oRXbObG3iuKZLEx6qoWIvdnN4ehBDv7zF3Tu7CVPEZHlSZr2/Z7a5bYmSZIKIVy5h3/5eTe73/+Y7rM5mFdM7JdNdDXWkvDwrBlmaNeUFFfu4VxloauQnkFzioiWN9Fe3lToSiRNUazhHOcaCl2FpCeteHkd7X11hS5DcvR4SZIkSZKCytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgPrJzZs3bxa6iEuXLrFkyRIuXbpU6FIkSZKkCfr6+qiuri50GZIKaMmSJQXb9k8LtuVJ9PX1FboE6ZlUUlLC8PBwocuQnhm2KWn2KCkpAfyeKs1WJSUl3/8dKJRAhXaA5ubmQpcgPXMuXbrE8PCw7Ut6TGxT0uxhe5dmtyD0BveedkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpID6aaEL0FPs6gCN1S2kxpJsP76HqoWFLkh6mozS31BO65mHLLZiOyf2VlE8IzVJAshdTtHffZCPw02c2BJ78MJXh+j/pIfe02lGLueoPXCOpmUzU6ekxyA3wsBHBzl4bJDMdWB+hMSKKuoaa0lMcvDNfT3AwT8dpP9Uhhwhil9YyWtbmqhdFSY048VrtjC06xGNMrBrJ6mxQtchPa2KSPyui67195k9lqZ7WzdXYksN7NJMGMsydLKXg/t7SV3Nj0/b8OCXZI83s37HIDmKiJSuoW71P7LUBis9Pa4O0Px6C4P5YpKvNFH7chG5vw5wsK+Drf81zfZP9lAV/mHx/PkO6jb3kJmfoKahltj8K3z5SQ+dbw3yxeZuDm+JGdz1RBja9UhGj+9k5+lFRBZnyFwudDXS0yhE+MUE4fvMzfZ1kSZGc3l0RquSZqdR+t+ppPVMiOJVNWxvDDHwbjfpB7wif76Dxh2DfLesnu4/1hErmrFiJT0WedL/vJPB6xHqDx2hruTW5PIqala188uGXnb3DVHVcLu3TYajH/aQmVfDnmPNJOeNT614dS2J31fSeqCXL9fHKPNvgZ4A72nX9GX72bkrxaIN22laVehipGdQfojeQ0OEXtvK2ucKXYw0G4RY+ttujp0+w4kPm6h6edFDrpZlObqnh0y4lj17DezS0+kiqU/zsKKWqpKJc0LLS6kB8n/LMPr91BzZYeCVJIl5dyw8J8zK1UlggKFvZqBszUpeadf03MjS/8FuUgvr6N4Sg/2FLkh69uRO9dCTDVP/asJudtKMKCK64iH3rt/p6wF6LkDsnZqJX94lPT3yCyjb10VywQNuQwsv4M5zcqF5wOVrXIMJPeWuXc0AUcLzn1CtmvW80q5pyX6+m92nF1H3v2wmZpqQHr8bIxz50yCsrmddycMXlzTzRi9+RZYoZb/I0b+rjvJVceLxFZRvbqH3Qq7Q5UmailCY2PIEiefv7SqTP3uKXkLUlN558jzG2j8kCZ3bze5PR8jdGJ+aO9/N7kNZQuWbWLN4porXbOOVdk1dtp/dH6RY9OZh6l80sUtPQv5sPwcuh6jZVoY9bqVgunI5BYTobFjP3OcrqHo9Toh/40JfL+0bR8geOEzTMo+T0lMp28+2d3phVRublk9sx+HK9zmcb2HLrvWUvv/D9OjrXfxLY8Ljtp4YQ7um5kaW/l2tpBbWc3iDA2NJT0aWo3/qJb+4nqq4X/ilYMuzqLqbww13jBa9LkbLb1ro2dHDmmN1eLSUnjJjQ3Q0tJIK1dDVVnFPt/n8N0fp2j9I7oUKav9pJYnQNVInDtJ7tIPO2PtsX32/4WWlH8fu8ZqS7LHdtJ6J0fxBHdE5ha5Gejblz/fScwHKfrfOdiYFXpLa3971eKfiCmqqQ5BNczFbqLokPZKxDL0tW+i5mmT7oeZ7x6vID9H5+3YGS7bT93EbTdUVJCtrad53gu7qPP3vtNDrE5X0hBja9XC5QTrfSwFDtFfHicd/+Fd3CCBF6ytx4vFG+q8WuFbpqZVj8JMesvNqWFdqBzvpabVocQJIk/F4KD09bmTpb1lP+7kEzR+9P+HZ7N8bHqQnC8mKlYQnnFgPEatcR5Qhek6NzFDBmm3sHq+Hm7uUmn1dVE0ya+SzrXScjFL7XhPJ+XNZ5KiZ0qMZPkLnSYi9U0vCnvFSoEVKKoBBRjJ5WDixwV65nAaSROwlKz0dbmQZfK+R1nMR6va+T83zDz4IF4UmmR+ay8+AzHffPZkaNesZ2vVwoTCx5ZN/+5h7FmABkZcTJBbOaFXSMyRP6tgBspRR7/1wUuAVrVhDzbwBeg8fpTZe88NVt1yKgb48vJj0mCg9FfIM7Wuk+RjUHviI+gcNIBmOkAQGjg1SX1o14Wp75r/2kyZEzctLn3jFmp0M7ZJUaN8e5WBfnvCWTVTYW0UKvnlJmvbWkt7cTvUbQ9SsCn8/enx6LEJt41o8/SYFXZ6h/eupO5QhtqGNxHdfkT5771Jzn3uJWDgEC9ewaUsv6f2tVL+RpuafVpIs+jup0/30nhghtGo7tQ4iqyfE0C5JBZUndbiDIWI0lzvWtPS0CC1rovvPEbraO+k9MEqeIiKltbRtqafiId1rJQVBjsxwBoChQy00Hpp8qeSOE+ypLAZCxDYf5l9e7OGPh/rp3zVAD1C0uIya93awaXWUIgeR1RNiaNePEms4x7mGQlchPc1CJN85w7l3Cl2HpO8trGLPuclGcpmo6IUqmg9U0TwDJUl63Iqp2ntu0jGbHviq5bW0La99IhVJ9+Po8ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaB+cvPmzZuFLuLSpUssWbKES5cuFboUSZIkaYK+vj6qq6sLXYakAlqyZEnBtv3Tgm15En19fYUuQXomlZSUMDw8XOgypGeGbUqaPUpKSgC/p0qzVUlJyfd/BwolUKEdoLm5udAlSM+cS5cuMTw8bPuSHhPblDR72N6l2S0IvcG9p12SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgflroAvQUujHK0Ocf09OXIj2cIbehm3MNsUJXJT2lRulvKKf1zORzkztOsKeyeGZLkmap0bM9/PFPHzN4fpQ8IYqXlfHG735P7fIHtMGrQ/R/0kPv6TQjl3PUHjhH07KZq1nSj5QbYeCjgxw8NkjmOjA/QlnlJjZtrCBaNMniXw9w8E8H6T+VIUeI4hdW8lrj29Q96O+E9CMZ2jU92QGaN7QweB2KFpexZnMp/xhdUOiqpKfY3/nuOrC4jNrViwndNXfBv7t7iqTHL8/IoS1s3DvE3OU11O9IsiCf5svP++l4c5D0jj72VIbveVX2eDPrdwySo4hI6RrqVv8jS/3eLj09rg7SWt9M/9UoFWub2RSfy7Uzg3zc18L60xfpPtREbN4Pi+cvdFK3sZvM/AQ1DbXE5l/hy8+O0Pnmr/nqPn8npMfB0K6pGxuio6GFwXyM+o/2UPfiJKcfJU1TjuwwsKGWpi32WJEK4tuj7N47BOVt9O2soHgOQJKK31QR27yO9g96SFc0k7jjHFr+fAeNOwb5blk93X+sI+YhUXrK5En/cwv9lyPUHzpMXcmtyauqqFnVzi8beug4XkN39e0gnuXoh91k5tWw51gzyVthvuLVtSR+X0nrJH8npMfFe9o1ZdnjHfRcDlP74X4Du/S4jGbJANGf26akQsmNDDEErH217FZgv2VOhKUvA2NXyF6/8xVZju7pIROuZc9eA7v0dMpw4V/zULKO0pKJc0K/iJIAhrLXfpg4OkTqAoSqK74P7ADMCVNWWQFjvaSGZqJuzUZeadcUjTBwaAhebKYm7ilE6bH57jvywIJ/+FmhK5FmraLVbZw71zbJnDy5MYAiiv7hjslfD9BzAWLv1JCYN8nLJD0FotQdO0fdZLPGvuMaEC6a+8O0by+SApKLF92zeNG/W0IYyGRHAe+R0ePnlXZNzdWLfJWF6H9cSu5YO3WvrCAej7PilTpa+obI3Sh0gdJT6mqGNMDwxzRXlxKPx4mvKqduVz8juUIXJ81i+VFGju2moy9EtOENyu64mj568SuyRCn7RY7+XXWUr4oTj6+gfHMLvRdsuNLTLP9tms62DkbmV9H0m+jUXjS/mAiQGb320EWlR+GVdk1NNkMKCO3fwvrQUipeqSU+D/7twhF6d9Uxku3mcEPsnkG0JD1Y7tr4AT51/Ativ6yibnWeyye/YLCvlfXnMvcMgiPpyRraG6fu0O3/Rah5v4/m0omDS125nAJCdDasZ+7zFVS9HifEv3Ghr5f2jSNkDxymaZlHROmpcbWfxldaSd36b/GKJro/q532rS/Z3HePvTQJDO2apvzCmokh4sZrxHb8mpZDLfRUHKPuhYKWJz11ilbVc/jDKng58cOjZbY0kfnzNtZ92EPLp2s4tnGKZ/ol/WiRV7voWp4nO5ImPdBL77ZGvtu1h+2r7x4VOs+i6rtOWK+L0fKbFnp29LDmWB22XOkpMT/Bpn1d1F7PkP7rKY70dbDl93k+2ltH1BPnCgC7x2takhvemHjVb04xFetqCJEl/d+yBatLemqFwkRXJe56FmyIyGubqJ0H2b9eZLRQtUmzUNHzCRLLk1RtaKLt4z62r7pC/zsdDFy/e8kktb+9q4dZcQU11SHIprnoIVF6eoTCxJYnSJTXUP9OFycO1LLofCfb/jwyrdVMuAdeeowM7frxwhESQPpb7+ORHps5i4gsA85kuFLoWqTZak6YNdVrgUGGhvNTesmixQkgTebqE61M0hMUWlbFuhLInv6KzFRecH2UDBApXvCEK9NsZWjX1DwfowJIj1zinq8t2fGBtCYbTVPSg4zQXRkn/tbAJFfTr3DlPLAigi1LerJGjzUSj1fS/fXUlo+UVABpRjL3Bvkrl9NAksjdveklBcwQHfE48XcHmdLwkc8tJQmk/nbpnlm5/36JLBAJO3K8ngxDu6amaCVrqkPkP+3h6Ld3TL+RIzXQS54YyZf9QyVNT5RkZRhO9/KXyxPn5M8M0DMGkXjMh8dIT1jxL14iTJaj/yU98cT0jVEGPz8KJIn+4oeO8EUr1lAzL0/v4aNk73x6Si7FQF8eXkySWDhDxUt6RBGWrgZO9DN49+0sw6c4Mgyh+FIit6cVJyhbARztof/O5W9kGTw2APNqSMZmom7NRg5EpykKkWzYT+25OtrXr2dobZLw7dHjz+aJbGhi7XOFrlF6+kRfb6N2oI72DesZWlvFyuTP+Pupfrr60uQX17K9OvLwlUj6cUpqadvwBXWHtlL+TQ2bypNEyJA6cZDesxB7p4mqO0P4vCRNe2tJb26n+o0halaFvx89Pj0WobZxLV5ol4KuiIqG7XxxppXW364nffsYnPqS/qMDZBbXsGfDnSm8mDW/q6NnYzetG7YysqWKZOjarb8TIZI7akn40Ag9IYZ2Td28GE0fHSaybzedR7sZHYOixWXUvreV+vKIj3uTHsWtdrX0o4McPNbOwJ+B+RHKNrSxdXMFEUetlWZAiNib3RyOHuTgP39B585e8hQRWZ6kad/vqV1+b3+X0LImuv8coau9k94Do+PLl9bStqWeiuc9IkpPhXAVe/rC9Pwf3fQfHz8GhxZGWVndxo6NFXcNEguhF+s5/OkSOvcfpH9XC72EKH5hJfX73qZukr8T0uNiaNf0FEWpeqebqncKXYj0DCmKUtHQTkVDoQuRZrE5RUTLm2gvb5ryS4peqKL5QBXNT7AsSU/YwgS1OxPUTnHx0PMVNL1fwdT/Ukg/nve0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBdRPbt68ebPQRVy6dIklS5bQ3t5OdXV1ocuRJEmSJOl7S5YsKdi2f1qwLd9HX19foUuQnjklJSUMDw8XugzpmWGbkmYP27s0u5WUlFBSUlLQGgIX2pubmwtdgvTMuXTpEsPDw7Yv6TGxTUmzh+1dmt0uXbpU6BK8p12SJEmSpKAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2SJEmSJAWUoV2SJEmSpIAytEuSJEmSFFCGdkmSJEmSAsrQLkmSJElSQBnaJUmSJEkKKEO7JEmSJEkBZWiXJEmSJCmgDO2altGzPbRsLmdFPE48Xsq6N9vpvTBa6LKkp8v1DKlDLdS90snQAxabrL31f52bsTKlWelGjszpHlreXE/5qjjxhn6mcpQbPd443lanuLykgLgxSvpQC3WvrCAejxNfvY6tu3oZuk9Dzn09QMe2dZTG48TjKyh/vZnus7Z6PVk/LXQBenpkjzVSvTMFL1RQ885KljJE//5e2jceJbXzX9jzSnGhS5SC60ae7IUv6D3USe/pUfIA1N538dHjjfx6x8T29kX3UVpfT5M5cJimZaGZqlyaPcaG6Ny8he6v84QWxihbW0f430V4aGu7OsDOXalb7VrSU+NGlv5t1bSehmh5Dc2rlsJf++nqa6fueIq2vj1ULPxh8fyFTuo2dpOZn6CmoZbY/Ct8+dkROt/8NV/t6GNPZbhw70XPNEO7piafomdnivyLzRw5UENkDkAFFa+U0vHbrfTs72fklTqiha5TCqjRz7dRuTNFaGGSmh1rCB1vofvcfRbOpzm46wHtbc9Raj6qwa8G0mN0I0t/yxa6v15E1Xt72F4+1RY2ysCunaQWRohczpB5okVKepzyZ3toPZ0ntu0I3a9FxieWV7B2dQfVW3ro/HyEio23v91mOfphN5l5New51kxy3vjUilfXkvh9Ja0f9JCuaCbhOXU9AXaP19Rcv8YVIFqRuBUgbpmXoGw1kP2K/5+9+4+JMk/wff+e46Q8S5aOCcS5t0x3LLsjhI3VTkLFDeWakfFE7M6AvQfpzlDtjSWdBdwVpjOU3iOwGaBztZj0FO4R2axijl10pksyLcztFnId7DgWWVMkbZdZQ3W2KdIdn2QMlWO6NpzjkyHePwoVld8W8KCfV2KCVc+P71P6FN/P8/01fGeFyiayCthyy+j8dJDBz9uoLXaxYbZf6rEIF8fB/dZPn7rf9rxlh5tXiBhLXWKRF4s5FOTEVRP3sYUEdjB6m2i6ugFPfS3uJSyfiKRfcuw2kEPRNsdjr9vyCykEjC+HHw13SUQJ3wRbadHDwA7AGjuFxUUwHiI825g3kWeg0C7zs2YtALHbY0+8kcQwADaQvW65CyWyemRuduN8eX6P3xPxGCbgeOXpISf2l51AhLgekomkUZJrvSHMjDI8by6gD4vRw4lfh9lQ0UD11sylK56ILI0fAsQwnqze3jUwAOzZPLyzvxsmDLg2bnjqMJmvbMIOxA2NbZelodAu85NVyMH9DvjYj/+qgTkBTJjE+wOcvQyOQyW41R1IZMllZmcDMDamCelE0idOtB94I5/sLzvxle58OCGV72QYY2KaXSYMen59gvB6Lw1e59zj3kXEcrJ+chDPRgge9xM2JmelMOP0nTzLAA6q/9Y9v3t7XRYOIJ54Mv2LpIfGtMs82XAe6uD0nw9T9X4xoYevZ1F49AItpY5Z9hWRdEuOa8orkbS5MzkW/fN6yj/PxPXGPry7wPwuTOh8DddGG+huLcE+ZbiK8dkJTlzdQPXH1TiV2EVWpwwntf98Gv6hipriR7VbsgrxfdJC2asLO5yRvJfe8olMUmiXeUtc/4jAxRiZ28o4uNtNthnh2u9C9HX4CeW14clTrUVERFYzF0d+20bJwx7y1exx7KO8o5n2K4W07JrsKGv0cKIpzIZDXXg3r1RZReSZTSQI/48Aoa8zcZUepKggm3tD1+i52MfpD0O83uohJ2Puw4gsNYV2mZ87PTQdDpL8+Wn633dNdhVyU/RWGa66UporAzj6fI9PzCEiSyYzQw/JRNKu9OCUwJ6SU+zB3dFMX3SYll2uVLf4482Et/i4sF9rpoisZonPmqj5OImno5/a/MnfqzuKKHvHRc07zRw46eCLo/PsIg/YM9cuWVnlxaYx7TIviX8dIIyNov/ievyLa42dPaV7YTzEpUGNsRVZasmx1Hi57GxNeiWyLNY7cACMGiSA5JV2mgeBm372bctPjX3Pzyc/30sQYLCZ3fn55B/uQVNSiVhZgmuXw5BRRGH+E7HcvoeyN8DsvsS1+VRv7yaIA46s7KUoqIha2mUhsvnP0zxAtNlSX3RJU2NsRdIhy5GDjTCxuAFbH2/2M76LAi4c61embCLPpfW5vG6H8JfDGDh57K57MN79NQdZgJlXxulTJdMcJMaFQwEG8jy0HHKTlbEBPVoTWQXW/Weert7aSFVvkzys3r6cixsI//sI8PjqLslvRzCAQvvTq76IpINa2mVesl5xYMPg4v8b4bFoPpEkfDkEOHFv0ReVSFrkbacsAyJdIaLjU14fj3DpUwO27MS1gFWpRGQuOewsd8LNIKHrjzerxS/3EMZG2bZcAGx2J65trmn+TIb9dY7U37fYNaO8iKVl4XjNBsZFLg090fCUDHPlIrDFjfNB9TbLRWEBcDFIjzFl2wmDgd4+yCjD7VyeksuLRy3tMj9b36VxVw/1H1ex+5vURHQO4oT7zxK6buLYX8vel1e6kCLPiTVO3j3qJtQYpLJiDM87e9j0YOJHw4GnaS/K7CLp5ShtoeF6Kc2HiomV7mPLusnZ4/tj2HY04Hmy+6yIrHrOdxop7K0nWLmbWOlBigocMBqm73yIyLgDT83U37dZ7HnPS/BAJ837q4hVluC2jU3WhW24Gz249DUhS0ShXeYpi6IPenHsPMvZ/3GJ9qYQJjaythZSe+oXeLaplV0knbLeaOP364P8puMjgk19mGTi2LaXho+rKNmsWoFI2q2xU9L6e+znTuD/bSedd8G23knh4dP8otxF1pq5DyEiq8z6IvyfOug7d5aP+tpp7jYhIwvnT2o5/fceXE8MRbNtqabrk020d5yl53g9IWxkbd5O9akjeFUXliX0g/v3799f6UKMjIywadMm/H4/Pp9vpYsj8twZGRmhu7tb95dImuieEnlx6H4XebGNjIwAsGnTphUrg8a0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRSm0i4iIiIiIiFiUQruIiIiIiIiIRf1wpQvwpJGRkZUugshzqbS0hnrLxgAAIABJREFUVPeXSBrpnhJ5seh+F5GVYrnQ3t3dvdJFEHnu5OXlcevWrZUuhshzQ/eUyIsjLy8PUB1V5EWVl5f38HtgpVgutPt8vpUugshzZ2RkhFu3bun+EkkT3VMiLw7d7yIvNiv0stGYdhERERERERGLUmgXERERERERsSiFdhERERERERGLUmgXERERERERsSiFdhERERERERGLUmgXERERERERsSiFdhERERERERGLUmgXERERERERsSiFdhERERERERGLUmgXERERERERsSiFdhERERERERGLUmgXERERmSoZJVhXTvkbBeTv8uLvjWOudJlEROSFpdAuIiIi8sBEjM4DzYy93UHX51/QWZwk1LSP0jOxlS6ZiIi8oH640gWQmSToO7qb+svpPKad6o978W5O5zFFVp/omZ14O5JpPWbR8Su07MpM6zFFZPklr3xE+2sH6f9x6n52Vvoo664i1HGWvrf8FGWtcAFFVgXVY0XSSaHdsrIofMeD43KQOMDGaro+8ZKzZh67mkmS40mMWJSvrlzi7OdhEuMABhevxvBuzlnSkotYnfONWtznmwmPAxlF+HtbKFw3jx0nTJLJJGOjw0T/9RI93X1E76be6rsc5siuIhTbRaZxs5OdB9pJ66Oy3X6ufFCY9nsu/u8DcLmPunwnnaV2sOWS/zcQ6h8g8m8mRTtsaT6jyPNI9ViRdFL3eAuzba3FX+dM/WW0nfpT0fmNqbNlkrnOTs62IsqOttF/+QItb+VgA4zzl4hOLGGhRVYDewmtx8uwAYz3Ud/UgzGf+2KNjcx1WTi2uimpbKGz/wqdh12p0HD5EgN3lrTUIqtXXhG1D8OujaLjVxgaGprXn8HLV+jv7qSt0UvRlikRvb+P8N30F3XDKy5s2Mh8mM0zyf5R6icjMZb+E4o8p1SPFUkfhXaLc5S20DBZ0Ymfr6d9aBFT4dgcFB3rovuYG9t4iL7FHEPkOWMrqKVjvwMA82ozJ3qNhR9kTSbO/afp7fDgIEzP1UUcQ+RFsMZOSUsrZRkAJn1N9fTM83axrcska6MTd3E1LeeucOVMLa51AANcuppIe1Gz3mhjcGiQtmL75CsGw18COHD9lX2WPUXkSarHiqSHQrvVrbFT8ssjuDMADILv19G3yNY8+1uttJbCxatfrZ5ZcCeSxPoD+Ep3kp+fT37+TvYdqic4NH1FLfl1H4G6fezMzyc/v4DdP/fReT39lTp5HthwVjTg2Zj6W/iDGtpvLu7OyMxPtSZEP7vGqojtdyIEG73s3pFPfn4+BW+U4zvZR3x8mm1vBCbvven+BIgue+Fl1cpwU3vSgwNgPEzz8Xn2cHlC5lYPpz89jWcjhD/9w5Lfc+ZQiOBNcOz3se/VJT6ZyPPmRa/HLpZpEO0N4Cv10TPfz8uM0l6a+v0cuDHnxkQ79qV+l5/Ub/LVQKF9NXisK2+YpkVWdMCG29tKdWaC+Kr4tkvQd6yY8mMhvnplD7WNLTQc3kN2rI9A5c+oeaJl1LzZjvfn9QS/zGbP4QZaGj241kZoP/T0tiIAZDip/bWPVOe9OJ2/aic6XXCdB8dbR2jZZnLb4l3kzZudlJdWERgE114fLR/4KPsxXDtfz779gaeu3xw3ARvOt7x4K5784yR7Ra5CVivb1moaJnu4MNhMzb/Ms7vskzJdqXv3Zh/XvktnCZ9g9FD3fojsQ510HnKROZ/xuGmUHA2nHrB1zFKpXshDOCBxPUh9xW4KHj4I99PzdXon5hR5zAtbj12gCZPE5D2/s6AYb1OQgdF789zZJNrZTOfoPLe+eYbmM/FFF1WWnyaiWyVSXXkjeM/HMa82U9/tpPNtx8IPtN6NpzL95VsK5vWzNF1O4qjs4kLFg0lHiigpdeMvqiH06xDRN2txrgEwuPhhJ/GMMtp6fZNPdKHozb24flFM86+DRIp8uDR/kDxpYxktjWFKm8KYo0EqT7r44qibBf9XseVQVGn1yXEMLn7YTowiWj5peTgLdtHuMkqcXva1Bjl7+V3aih9Nj50cuw24KHmvmpL1K1NqeZ7YcB7y4/tyH/6bED/TTPtfd1G7dRFfzhv3cqRpjIiRgJeXYEr3ZITA4SAbWn6Pb0dWanKsicwpY92XyLhB9HKIsx0hwncmk8n+6Tc1b3Zy4FA7MZuTor0+tv8VDF/tIXS+noGrw3Ser8WZ8Wj7xOc1/KwxDJuLKDu6nVyiXOq8SPPPI8TPLPLfQWQeXsR67ILdbGd3RRDWOSk63IZztAZ/7/x2TYXw2zg22omPztFQZUY586tObm90YB+Nr44egqKW9tXj8a680Vbforvyzof5TQ/+B0/id3mp746SNA36jntTXc93efFfXtrbfPh6CBM3nuInglCGm517gfE48Qc93xNRwjfBVlr0MLADsMZOYXERjIcIq/ePzMD+5hGOTI65M7vrqPt8iYZUJMIEDqSGeuw84GfgyVvICBOoq8J/ZYnOfycyeZ+UPbVsleNvSnAB4dHbj71+24gAG8iez+z6IvOxxkHZBw2T39VxgocDqZUcFsxGzhvVeLYtQWAfjxL4u9O89I+dqcAOxLrKCfzrUjfvJeg5Woy3KcRwbhkNH3hxzbjt1IdwnbS8X0bR7jJqP+iiq84Jo0HOXp7yXWJGOHs8jLnFR9dHLdSWFlFU6qOtuw2PPU6w7aIq77KErF6PNYl316d6rOzYTc352BO9gExi3fVU1QWJLVWxswpp6+5nsL+Tlv1ucuf7e3c8SvuvOrm94wi+8rkehJhEO5rpvOPmyNHJ4UqyKii0ryZp7Mo7G/NGgPIDA2x8v5vBoSF6D2XSd9zL7l2lnF1zkO4rXVS/HCV0tJ2BJetRZ5K98zSnT9VSOGPr3pQg8d0wYcC1ccNTW2W+sgk7EDc0tl1m8MQkWeHjTfOeJGvexqME/q6OeHEXQ2c8JG+G8J0PP1YpiHbXEbwS4as736f55JNsTjynTtNRmjvjJjk/enwBrXuT3eOXvHVRXiz2Eo78crJHy3iIuvo+luwbeiJB5IyPfbsm5zp5P0D4O5PkzSA1bxRMvhYk9uD36XiMzsOVhP8PJ/87/BHtHe20d/hp/zQTx4alvhFs5L7TSe/VQfo/rKXkxxtm7vWz0IdwsQgXx8H91k9xTO3mn+Fiz1t2uHmFiFK7LCUL12ON3jrKf5tNy2e9NGxNED7ZxMWpXc3vXKL9eB+RKwZLtobEy07cG7OwLWgYjkn0TDPBO24aj5awaY59zRvtNJ+/jftoIyWvPEthZbmpe/xqk66uvDMxo7Q3DuD+sJuyvNRR7Q4HEMYc387B99zc7iqg/ebch0r01rC7KTzzBvs7GTrsnOFNG/YtLqadp3c8zJWLYHt75/y6u6/LwgHEE2PAErTIyPNhcpKsSEWQ+HiY5mMhnGfKHq/cPgPj8wDB1xq58padRO/kOLLkPe7B5P0bY+hyKiC7cmZ69h0lkO8lOONZ3DR83jZzN/Z1Dlzbpj92/I89RHDiK5j6fgJjFMgbY6DRS90XURLjkLmxkHfrjuBdihZOeWHYi1tpvfUTarpNzKtNNPU6p8zYniYTBj11pQT/z1baPvdj/3OEwDtV1JSHsOGi9lw/R/79BJXHAtR94qL3QA7R8wdov2ECQeJXpx6skD1L/l8+k5yCmX4vPmHyIdzBl+f3EC4RT7UcOl55+iLsLzuBPuJ3YPpfvCJpYsV6rBkh+Os4FR1tuDKik5O4JfmPKU/Vk9EIYYCCHHJnKOyz1XsX52EIb+qgaD2zP/wcj9LeEuT2jhY63sgCi8/BI49TaF+F7MWNNH7xM+qvmqmuvM7f0/ZGemoSyashgus8XMh/9I1kxGOpH3YU4loHmTuqKRyMYq+opjBzhgMBtlfceCtmGeObs4gprCYMeurrCOGm5f9yLehL3kjOdzIPeVHZtlbTUBHGeyYON/34/iWXrkpnGioTMfrORyk72kEmBqFPU7/Ui3ZOrvEOcGeYrwyAQpwzzlCdjbPCi3fG82Tj+IuFl868EcDXGsVR0cnel6e+M0ZiFDD66BkvZM/PvdiMIS59MUD7oWt81did/pAlLxAb7sMdeIa8BEdNwk31hJydlG1M3xkSn52g+c9H6H3fjX0NYNuEYyMwaJJdWU3ZujA1x/oweJRVnZWDDC12zOydHmreaGbmaruHzqFa0lJtX/BDuJllZqd+H4+NJYFZfrGLpIHV6rHJyz2ENnq4kAfm9T5C44B9L+7Nj44bvzWQKvuPc2ds/lmSeu9sHoTw3X465/z8HrTIF+E/U6QmrFVIoX1VyqKopY3hd6oIGpNdebe2UZKGunPmrhaGdk19JcnwUASAnG05qZs8z4P//DyOtbWM6q3PXqZHTKKnami+upayU60UaVIsSTsbzvfaaLhVTPPgM06S9ZgcvL1DqR+/u0bfTYAy9ux4VDl++BQ/30XujHVmO4WV1RQ+Y2keY/RQdzjI7XwfXe89+YAih30nO8m5m41766MvmNpEGP+BGkJN7QzsbJn14Z3IrDKcVP+jl/CBTuJE8f+yndyPq3GmpdktRs+ZMGVHW1OBHWBihPgggI2ibTmwLpOSUhfm+E5q307DRJJ/4cBd4WXmI+Uu+YoLMz+Em1ty/Hmcklusx1r12Ef7mESuXsQEcsp3TrmPH/SEg8ItM9/d6a/3zsYk0lE/GcIL53zUZg61U3/+NkXHOynUHDWrkkL7apXhorrJQ7giyJIu2DAxTLQfwIY7byWnqzCJf1JH5fnbuBu78W1beI3Onrl2Ccolz501dkqONjDwTvMiJ8eaXXywJ7W2ean7seEdw9E+AOzbcpevd2oijP9wM+H1Hjo/nH4oQOZGJ+4nX8xyc7DCTaipj+g3LRQuWyVFnke2LdW0HYtR/EEYRjtp7thO1+F09HCZ8rDsgW9ukmov28vrOaQmKz16On0PwjKdlFWmt/vrgsz6EE7EQqxYjzUjXPnEBHIomdqLxRienO+hCKdFFokxh9pp/niMspONc4fw8QjtTUHGStto3KWn7KuVQvsqZlvvwJ7hwH2yNS1PJ6f1ZAVnAdI5tsforaO8NYKrrovWhXbHvZsgDjiytKK0zNM6B471NtjfluYlkBJEw6luekX5UyvUMW5+kfpp+4zj2eGZx7RPNR4l8Hc1hCij7Z8fXxZqPrJeSY0RjH+bgK3qaCfPxl58hIY/ltJ8dWlbeo1/i6RmSN/hnHFc6qo1j4dwc8nMeN4+FLEyy9Vjb0W4CGD/Ka9PGaaTvBUhApDnxDFL5l2+Me0xgk1BDCB0uIDQNFsEK/IJAp4zQ+z5spmgAXTXUNA9zcbnveSfT2f5ZCkotK9W41ECh0/AL7vTGyoSEUIXIozZf0pFcQ7J4a9SFZwnJt4wur2UjtUyOEuLQrrG9hiXm6lpiuCo6KD1bcf0LQcv5+IGwv8+wpOTzSW/HcEACu0KFjIPEwY99ZWEd3TQlfbx2rcnu+a6cOVN+c3/cDy7G2fObPdzmsa0T86OHbxbSMt5H+4Zbo3k5Xp2Hh3Ae26Q6i2Pv5cwUm0j001qJbJga7JxbNyADQ9th5aqhXiabrLptpxj2qd6xodwybHUfNjZ2WqFk2ViwXps4tt4akWXn2x5bIjLg/HstoLcWZdIW74x7XZ2HjvNlmneSYQD1H8co/D90+x7FbI3QnZmA6fzptn4bpjAsSCxXbWcfisHsrUAnJUptK9GSxYqkgx8WIW/H8iA7cXZxC9PVj1eczyq4IxHCJ0fo6xp5hlrIT1je8wbAWqO9sD+Ts7NNiFYlovCAghfDNLzjuvRE9sJg4HePsgow62HhzKn1LwJJzhC95IFBwDbY9++RnggVcnPc5Mza5JIw5j2CYOe+gO0f+2i4bd+imb5CsnM304hfQQ/C1OxZcrsvhNx/nAhDBkls0yaJzJ/Rm8dlVfddJwveTT+/JmZxPtDXIrD68Ue3D+KE/0jPLVCgxnBvyuI89O2p5ZOW7CVGNM+z4dwWY4cbISJxQ3Y+viNb3wXBVw4NFeMLAer12N/OGU45XiEgcnx7HudS1/vnZ9MHNtc0z5ASPwpG4hhz3PhelCWdS5c0/2uvmOQDcTsTlzbVEm2OoX2VWcpQ4WJ+b+AjBxKGvfiGPqI5hs2bJiYd5OYgC0ZI/SPNYR3ddCV1m7D05TmZjvlFUHiWz205N/jq+uRpzfK2MDrW+zYyGLPe16CBzpp3l9FrLIEt22McP9ZQtdtuBs981seTl5oSxMcpsrF/baN4Cdhov+WpGR9Jomrfmo+SFUq5nqK/+wS9NWV0nw1k6L3y7B/FyHy3dNbZee4cKwD1hVR23iJa0017P6ujIO73Tj4iku/DdL3tQ1340FNQifPzLwRoObXcOS3C28hntXXQWqOtWMA7lf24LYPpGaFxoVjSk4wPgsS2lrIwXQ0vS/3mPYFPIQjbztlGZ0Eu0JEd0/5rMcjXPrUgC0eXFoMQpacdeuxWT924yRMdChKbMJJznhq2+C8esKJLC2F9lVmaUNFFoWHfBQdOc3Ahwe49qOf8ouuL3D9KciJ4/XsLs3GNp7JTyvP0flmzpJPcJOMx1KTk9wIUn94hlG8BQ30nywhi9RkRl2fbKK94yw9x+sJYSNr83aqT2k9aZnbkgWHx9hwHeqiYaKZQN1OerCRtWM7uVkQT8z9FP/Z3Wb4qgkk6Puwhr4ZtvKcGaJ28gm9vbiN3/8oyG/+5SPam0KY2MjaWkhtxy/w5Ou+kmdk9FB3OIz7ZFf6x7Te+9+MAZnbaqkuuEdPUwgybDA+RjIJrCf10Ow30PDbklW4BNICH8KtcfLuUTehxiCVFWN43tnDJjPCtd+F6DMceJr2aol2WXKWrse+XEZrx3/Q1NhO+bYArHNS5HQAsXn0hBNZWj+4f//+/ZUuxMjICJs2bcLv9+Pz+Va6OJaVHArgfT+O57eLXxbDHPTzk+PZnPvUS86StCSKFY2MjNDd3a37aybf9VBTHsRx8hmWdxsN4S0douyyn6KZZnKdMDGxYZt6730XwvuWnyhF+K9o+bTVQvdUGoxHCeyvJL6/m7a0zx8BTCQIn6qjqfc22CD3nVZa3spk4FQz7Zdv85IN+Ku38dV5cVm1W/iDMfLTThA118SUKVMfwgEkhoL8puMjBm4kMMnEsW0PnpoqSjbry2cmut/Tw/L1WNME29Q6gEmk9SdUfWJiP9RF7wGLTB0vy25kZASATZs2rVgZ1NK+Spg3Angrw7jPPENrxHiU9g9DZL/VpcAu8oDRQ035M06GM2HQczJAdHcLbTMF9jt9+H5ez8BdJ75POymbXD851h8kCtj3l7FddWZ5UaRjTOtEnFDFPobeuYJ/9zQ3z5os3Ic76T/8+MslRzspObq4Uy679SW0DZXM8KaT2qEhahd4yKx8Dy1nPM9aMpEFsXY91iR65gCVHTF4+zRf1LlSrfB3B7jwiQm4OfimArusrP+00gWQeTB6qDscwt74DMtPPZioZtTOXre+eESAydlrmzFKOxa+lOADEwYDH9TQfNWkaKeLmXJ3YugSA3efeNHoob3DgI0eWiq0prK8ICYMeupKOcGRZ5op3vgsQOBmEUUFetolYmmWr8cOc+18jMcXnDSJdLYzgA1345H5LaUqsoTU0m51D0NF5+JaIyaSxMMX8De1E7kL2Pfi3pz2UoqsPpMtfaFXGhY3Gc6EiXHzImf9AXq+NoEiCrfNHB4yszZgA3Lfb6DsZUh+3UPgvzUT3liC/+RSjqMXsZLUJFTN35bR+QxjWlNLgYYxd/txKbOLWNeqqMdmk/0qYJTR+p4L20SCyL/UUfPxGM5D5xb/UF8kjRTarWwyVASTRfhmmj19OnfjROIGxs0w4etxklPeyinfOctSNCIvisngcDUX73E7t4ci3J7PbvcMYrduY3wT5g/XYyTGp7xXumfW7u22bbWcOzxGfec+8j8E23onhe+cpr/cRZaGq8gLwuito7LbTsMiJ3w0jSgXz50g8GmqVWy23i0issJWTT3WTtkHfkYbT1C3K5Sa62FnCY0ft1GkuR7EIhTaLcskei7V5Rb68B+eaZ7nhcihZNvSLiglshok+uupPB8HoPNoFZ1pOGbZDtccrfU2cvb7ubA/DScTWYXMGwFqmsLkHvDPONP5NHthxL7itjFK+Oo1YnemdmAtY88OVahFrGmV1WPthfjOFKKpBsWqFNoty4az4gJDFStdDpHnT9ZuP4O7V7oUIi+QRB/1h4OpZTzP+ag6l4ZjlrpxaSIIEYtSPVYknRTaRUREZGllFeG/WrTSpRAREVmVNHu8iIiIiIiIiEUptIuIiIiIiIhYlEK7iIiIiIiIiEUptIuIiIiIiIhYlEK7iIiIiIiIiEUptIuIiIiIiIhYlEK7iIiIiIiIiEUptIuIiIiIiIhYlEK7iIiIiIiIiEUptIuIiIiIiIhYlEK7iIiIiIiIiEX94P79+/dXuhAjIyNs2rSJkZGRlS6KiIiIiMhjuru7KS0tXeliiMgK2rRp04qd2xKhXURERERERESepu7xIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhal0C4iIiIiIiJiUQrtIiIiIiIiIhb1w5UuwOpmEvnwJ1R9bMLmIrw77DNuZ9yMEIvFiN9NveI61svpt2bafoVMJAh/WE/Y3YKvIHP5r208SqAiRO4/tVCUZb0ymjcCHPhdLif/sYisNQvaVUREREREZFF+cP/+/fsrXYhVbTxKYL+X4KgNz5lBarfOsu2EiXEzROCXAQYyq+n61EvOshV0brFz+6hPNtB12IkNVubavu5kX8UYvss+XDbrlTF2bh8Hxnx8UedimuKJiIiIiIiklbrHP6sMJ9X1HhyYBA/7CY/Psu0aG/atHvyfnsaz5iLhr5etlHMbDXHiXA5V+52PwuhKXNtmD76fXaSmI2rJMuaU+9j7+xrabyx8XxERERERkYVSaE8D29Za/HVOGA9RdzKMOdcOmS6qm8oYicaXo3jzYBK5EGBsbwnb1z3+zvJfmw3XmxVknw8xkLRgGW0uSvZnE/zdAMm5txYREREREXkmCu1p4ihtoWGHDbO7hrrexJzb2/I8tJQ6lqFk82BGuPKJiSv/9Wm7fC/7teVsoZA++ganxGILlTFnayF83kf47qJ2FxERERERmTeF9qkmDPqO1VBVsZPdJweI9vqpOeqnuWInu4/1YUzMsu8aOyVHG3FnQLipjtDoIsuQiNB5tIbmxip2v9FMsNtPVV09NaVV9HxHaiK2k1X4DnkpqOzBmNzNvNFJ1f4g03Qqn9tojGvkkPPKDKO0l+vaHp5vE44CGIhNaQlfjjLO97N9xYGbAYYX+zmIiIiIiIjMk0L7FOZQkJCjmtr/Yidxvp6z/2sfrcd9NPx9CYn+eoJDc3S8Xl9E6/EybETxNwaJzxbypzMRo/Mfgvzle600NDVw0N5D4LNsvLteIjIaYeDLBInPmjibUcuR8lzMoRDXRgGSXLvQTmSNjexFXHfy2xEMctmwfmWv7ZEs7BsBw3jYBX05yjjvzzbLjgMw/qQO8iIiIiIisrS05NsUSeyU7bAx/N9jsMVHbakDG5AcGwPs2NbOfQxbQS0d+yN4zwcoP+Vk8LBz/gW4+z22d6rZ+6oNksNEb0BOpZvX/yaTjlNFZG/J5Ps/ujj4RjaRkyHYUs3rdmAiTvSPkLP/dbIxifef4dKcw7VfwrXPgysLzPEk8NKc/xuW9toeX+Nt7Q8B43vGgEyWo4wm36+d67OdtCb1H+H23QelExERERERWRoK7VNkbfNQlBygfhDs+3PZsAYgSeRKH9g9uDfPZ5EvG85KH57Paoj/KBMT5r80WJYLT/Hkz99EGcDG3jwHtgwbzm2Ta4rv9uC400PNZXDW7STHBnw9xMC4je15DmzYcOyupnphlz5PS3xtK1pGG445P1sREREREZHlpe7xT4pF6QNcW3NTIS0ZYaAf7D9xk3tngOD1uSc5M/qCRHa10li6wKA3kSB2PYoxDrEvBzDZjjMvdYT45RDRyd7YyWiEMDls37IBgMTwVxhTtl2ozOwNwD3489zbLvW1PXDvz8C6tby0nGVknp/txD0Asv/ipekOISIiIiIikjYWCu0GPYd2U76/nPLSneTnV9FjzL1XusVuDgBunLmTIe2bKH3ksLdoE9HfnmVs7ezdoc0bAeq+cNNyyE3WmoWd2+itp/xQJe1/DBP+1IC8fHLWAUYPge7/YO1jxzOxrbXBhMG1y2HYkk/OIntq27KzsTPM7Tuzb7d815bAGAX7a46Hnc+Xo4xTjjL7Z5swiGPH8Yq6xouIiIiIyNKyUPd4OyWn+ikZCpBfGYSMLTjS2Wt6XhLEYwaOt4+w/cEQ67xCqjeHuNRaz8ibLTRunaXt1uihzm9S/U9lODLmONWESfKejcwp22W/5sK57h6J/rNk7/dR8rvTNH8wSvbdbMqOeciZ3DZzZzUtuw9w4v+pZ5gIAzcgp/L1ye78i7Axh+20E/vWhI0zXN8yXVtq/xHigzacb01pKV+GMsI8P9tv44QznJTMVA4REREREZE0+cH9+/fvr3Qhpkoh/NZcAAAgAElEQVT01rC7KQy7/Vz5oHD1TPM1HiVQcRZ7cytlr84d5mLn9tGe1UFbcdac2z5mIkFsaARec5GTBeZ1Pz85NEzFxx145zXmfjomkdafULWmjaH3XU+/vVzX9sCtToorR6jtbaFw3TKWcZ6fbexMMQe+raW/aRX9/xQRERERkVXJQt3jAUyGb4UBcOXnrp5ANGHQU38C8+8b5xUYE4N+6k/ZKfzrhYfaRH8T5YdqaL+egPEo7a0Xcfy8in2LDuwANlwlFTg+7mHgyVXMlvHaUkwin50he/+7bF839fWlL+O8PlszQs/5bCre2b56/n+KiIiIiMiqZaHu8QBxYoMANra8tux94xfJJHqqjoFtLbQWzBxUzWSSse/CDHR9RHt/DLOgge2zrTk+g6z8Esq2GMSjZ/H9bozcw110uB3PHiA3e2ioKKfyXHTKMmnLe20AfB3Ef72MhvM5T08it8RlnM9nG+vyEyltoGuRk/6JiIiIiIgshLW6xxs9VBU3E6GMtkEf7lWQi4zeGkqbwpgL3M/d2L/47uNLZSJB+MPDhN3n8BXYlv/axqME6vrIPVpL0csz/OOvYBnNGwFq/r9cGg4VYZ9rzLyIiIiIiEgaWCq0Jy/Xs/NoH7xagufHccJDSb6/+z2577TQeMD1DLOBi4iIiIiIiKw+luoeH781kPrhmyjmoQ4uHM2C0RDe0ioq/9xJV6VzmnW3E/Qc3k3z4ExH9dA5VItzprdFRERERERELMpCoT3O8JAJ2Cg72YWvYDKeb8zFCQTPDPDVe05cT7W223Ds8OLNm+m4uWQvVZFFRERERERElpB1QnsyTvQWwF7c+VNn605OjleOYySApyY4y8RZWq2WdBEREREREXnuWCe0x6L0ARTkkDu1D/xojGsAbCB73XQ7pkd+fv7SHVyee0NDQytdBBEREREReQ5ZJrTHv4kAkON2MnVO7/iXf8CAp8P8Q+kZ067QJSIiIiIiIlZjmdCe/FMMANerjimvGkT6YoCNouJCpl+gKxPXe6c5XT7TkbNxzPSWiIiIiIiIiIVZJrRnv+wCIo+X6Os+LtwE244jVO/MnGFPG/YtLuzLUEYRERERERGR5WSZ0G53F+EmQvRWHLY64E4Y/39r5/bWas61lGB/ntdoN3qoKm4mQhau0hK2zDR2/+4o4ehXxL9OTE7O5+H09dppZtSfzzn7qP/NNbgdwXAeoaWu8Nk/44kE4Q/rCbtb8BVkEvnwJ1R9bMLmIrw7ZnqsYmLcjBCLxYjfTb3iOtbL6bcW8RhmPEqgIkTuP7VQ9ES3DOPzegL/CreHDF5/vwXfLj3mERERERER6/vB/fv37690IR5I3gzS/KuP+Mr2Ei+Z2bj211L1Zg6Zz3Ngn2T01lDaFMYsaKD/ZMkMQwEm3Y3T11lP08cxCluv0DJjL4SZJBk41oxZ56coGcL7lh+O9tJZ+mxBNnZuH/XJBroOO7FBKkTv9xIcteE5M0jt1ll2njAxboYI/DLAQGY1XZ96yVlMIb7uZF/FGL7LPlwP5kBIDlD/gcmR40Uku70UHwffp52UvbyYE4iIiIiIiCyf/7TSBZgqc4sHf3c//R9f4EL3aXzFL0ZgB7C/eYQjO2ww2EzdJ/HZN17noOj9LrqPuRm4EiG54LPFifYPcLY3Di9vpyQfol8OL+I4U4yGOHEuh6r9k4EdIMNJdb0HBybBw37C47Psv8aGfasH/6en8ay5SPjrRZZjswffzy5S0xF99No3Ufoun6XnG7AXlOAiSjT2TFcrIiIiIiKyLCwV2l9oa+yUtLRSlgHR1mZCo3PvYi8+QkvGMNEF508n7358mpY3HcA97s0WpufFJHIhwNjeErY/0bXftrUWf50TxkPUnQxPduufRaaL6qYyRqJzPLiYkQ3XmxVknw8x8OBz2fIuXada2LMRMO/x/SKPLCIiIiIistwU2q0kw03tSQ8Oovj3B4hOzLH9GjuFR6txL7R3PJC12UVOFphDPQSNQloOFbKIw6SYEa58YuLKf53pVuVzlLbQsMOG2V1DXW9izsPZ8jy0lD7DnP85Wyikj77BydS+JoucbTlkrTGJ/C6IsatllokNRURERERErMMyE9E9T8wb7dSdv4kRBc9xL4nuILfXrSV6eYw9v+7Au3XaBecBsG2tpqEijPdMkMpWF18cdU8bhGc1HqfnVIBwMpPbQwl+6nUxfGUExsPYD/VTmz95xO96qD8FRz7x4551EP0cRmNcIwfPKzOUdI2dkqONDAzVE26qI+TspGzjIs6TiNDZGuS2zeTakJ13vWsJX/8eWzxB4W9OU/JgjPqaTTgKIBiLw27nw92NT+s5zRG6P3CT9YIMuxARERERkdVNLe1pZ3CxbZQ9v/Tguhuh+fgVcuraaDh6BE9elPa2ixiz7m/D+Z4f3xYwu2s4cXXODuVPSDLwQT0xdyP+phZqd0ZoPzlC4QEnYzeTDAwOp7qoGz34Tt2j6lQt7mSI8uPz6Lo+0xm/HcEglw3rZ9lofRGtx8uwEcXfGCQ+Vy+CJ03E6PyHIH/5XisNTQ0ctPcQ+Cwb766XiIxGGPhyagt+FvaNgGE8HKdv9PoImFV0vO/m++5y/IOLvVoREREREZHlo5b2dDPv8dLOEpx3IjRho+z92slW7DESo8DGtayd6xhrHJR90ED4nWZ63q/D+XkbJbMF4sfOP4aZU41nWxYQ4+YfgYLtuH/swnHKAa85sREneLiZgVEYuOwHIKfuwmSLvkm8/wyX5hxS/hKufR5cWWCOJ4GX5vzfZCuopWN/BO/5AOWnnAweds6+w1R3v8f2TjV7X7VBcpjoDcipdPP632TScaqI7C2PdxVY+0PA+J4xIPObIDVNA8QZoKAVIAdf94L7L4iIiIiIiCw7hfZ0szko2u8gdu4EJi5yXpsMh1+HuWiA+4Br9uXcHrCXcOQXfRR3bSB7IV25J88PwJ1hvjLAWZ5D5poscrY9OLMDT/cQnukPgGN3NdULOOUCCoez0ofnsxriP8rEhPl3/c9y4Sme/PmbKAPY2JvnwJZhw7ltjqXqXvVwYWj6qxUREREREbEydY9fEgbD1w3Ic+GczMmx8EUM3BRuW0v0kz7ic/XOHo8SumDDd6J2gePNTYwbEWIJSEYjhMlh+5YNACRvhBj4bjHXM7vM7A3APfjz3NsafUEiu1ppLHUsbKz+RILY9SjGOMS+HMBkO8681BHil0NPzaB/78/AurW8tJBziIiIiIiIWIxC+1JIDhMZAnu+kw1rABIMf2nArj1sN//A6ev3WDtb6/mEQU/9Ccy/b6Ts1YV14zaH2imtqOJEb5iBy33A66nW/vEoZ/1RzIxnuK4Z2LKzsTPM7TtzlO1GgLov3LQcWvhEcEZvPeWHKmn/Y5jwpwbk5ZOzDjB6CHT/xxOfZwJjFOyvORY/I76IiIiIiIgFqHv8UhgdJZzhpurN3MnW5Cy2v1lI5qmPqGt1cbCpFvuModUkeqqOgW0ttBbM3cRuJpOQkYlt8ni2V3IpXO/AGDpLZFsD1ckAgWNwCXD+37+g6FlmiZ/Jxhy2007sWxM2zvCQweihzm9S/U9lOOZ6cDBhkrxnI3PKdtmvuXCuu0ei/yzZ+32U/O40zR+Mkn03m7JjHnKmHnNihPigDedbC2zNFxERERERsZgf3L9///5KF0IeMXprqIuVcfL9ebRG3x2gviJK2ce1OFc0nZpEWn9C1Zo2ht53Pf32eJRAxVnsza3z6jkQO7eP9qwO2ooX+YThVifFlSPU9rZQuG5xhxAREREREbECdY+3kAV1Hx+PE2qqJ7qjkNwVb0624SqpwPFxDwNPjC1faFf/xKCf+lN2Cv96sV0CTCKfnSF7/7tsV2AXEREREZFVTqHdKh50Hz82S/fxCZPknTiR3gBVxfvwX82mcEeuNbqAb/bQUBGj/lx0youPuvrXztLV30wmMW71ETxWzs8Oh4gXFLJ9vkvcPenrIP7rZdT+PMcan4uIiIiIiMgzUPd4KxiPEtjvJTi6wP3sHjq7V7pr/BQTCcIfHibsPoevwIbRW0NpU5i5Jsp/kruxf3Fd48ejBOr6yD1aS9HLVvlQREREREREFk+hXURERERERMSi1D1eRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqFdRERERERExKIU2kVEREREREQsSqF9NuNRAqX5+AfNZz/WRJJYr5+qjiizHc3oraFgf4j4tO+aRE/uI/94eNZjPHXMqwF8+8spf6OAnaU+gjeTj72fGOqk5ude6j9spqrUS2AwsYCjPy15M0T9oXLKS3dS8IYXf78x9V3i12MY45N/nTAxbkWI332mU4qIiIiIiDyXfrjSBbAuk0hHPcFRKHuWwyQGaP7FWYbHx4iPJjBL3TNva/RwoimMmTf9NuZQO/Xn41A6/9Obg37KL26ks6MLx1qDnrpSmg/sZuzMILVbgdEQdZXX2H6+A2+eDf42hLf0AJ3ne/HmLexSIXW8ml+NcvCfu3BnmURPluM9Vszte/20FWcBcXoOeQlO2SVzVy1tda5FnExEREREROT5ppb2GZhD7Zz+Ig0Hyiqk4XwXXe3VzBpLJwx6jp8lbp/h/fEI7acGFnjyJNc+C5G8eppL3wBr7JRUVmDHJPi7AZJA7EqQqN1J/mu21C4bX2e73aD9cnSB50qJXQkSHb1I6HoCsOE8UEURED7XQ+zhVk6KKrx4DzfQdr6X/g88OLMWdToREREREZHnmkL7dMYjtJ8yOXiocNq3jf56fJ9O04F9IkH4ZA2dNxbend7oPcHAXx+hbON075pEOk5jHqhm+hLNZC3ZjhxsGXaYmCzTuiwcAKNjjJFg+EsD1tnJtD3YJ5usjcDQ8KMu+kYf9XU9xCeePkNiMEDNuUdd/rPtuWSylrXcS72QmU02wHdjjD38WHLZ462men8J7jw7tjULuigREREREZEXhkL7U0zCJwOY7x3E/aPpt7Dvqqbopg/vJ1OC+0SC8IeHCf2oFs9W2/Q7zmQ0RPMf3dTuzSVzuhINBghMHOSge6Zm+JnYcFZ0MXi1i+oHZTLiRAB7fi4buE18cIZdb41iPAjZ9iKqd0fxVYQeC+6JQT+Hu+3Uvu3kwRVn7fZzZegK/jcmy3onngr/BTnkPvxY4oQ7m/Ed9VFz2E/P14+PsRcREREREZEUhfYnmIMB2tdUc3DbLP2119gpPNaGJzYZ3B8E9ldaaH3bwYIi+0Sc0PEwOw/txZExzfvjYQL/Haq9brKeuUU6Sd9vg5gbyzhS7lxQOe27Gmgrjz0M7qnAvpGWlrLpyz0p1nuWcIYbX80eHnyitnU2NhbW4j/up+29v+Tsz3enZ7I/ERERERGR54yFJqIz6Dl0gFAyG8YNYqO5NPSepmShjcvP4kFA/qd5BOTJ4M4HNezc/T3O9zoWHtiBeLef8E4fra9Ot6dJ+GQ7/P1J3NM8QzCutHMx9vTrD+XspXrnow/Q6K2naagQ3z/XTnu8udh3NdBGMzW7d/K9s4qOOQK7eSNA/flMPMcbKXt4fU6qL7c92mjLdgrpJNhxkX0FZamu+yIiIiIiIgJYKrTbKTnVT8lQgPzKIGRswbGcgR1IXA4RumPw1S/KaQcYTy1VdrHlAF/9+F1aPyji6SLZsK9/iSQsOLBDlJ7WrxjeXM+Bz1KvjI0C46fx7e9h54G/JdZtYNw6THkHgIkB8HkTB265ePd4C9U753cm80aAmvMbaDxXS9HLD0q6AUcBMN1ya3kbsc9wQbb1dl76n8DaWU5o9FD3yzh7Tp3Eu+XRE4LkYABfh0FRk5+SqeP3J7vjOxb+IYqIiIiIiDy3LBTaUxLG5Djxv8ld9lbXrOI2hoqnlKW3ht1NYfbWn8NX8ESanDAY+KCOnpwWzh17iciHlXg/8dP59kJK7aR2aJDah3+PEsj3Esyrwn9+stV56L8+2vxODzVvNBN+o5FzR93zf0hg9FDnN6lt9+FeD4yGKO94iY7jRThes8H5UcYeBubb3L4Btjc2sOHJw1xupu7zHFrONPDSDT+VFSH8Z8pwPNkrYTxK4JcDuNtbKNucCWYYf0WMkjNeiA0QubUWx5+SsDETzGRqEruCnKePIyIiIiIi8oKz2Jh2k+FbYQBc+dNPymYJUwJ769sObGuycL/fwcFvn5iczgrGowQOh8gsyccWjxC5HmHgsz6SdjtrAWdxLU6ucfPfJ7cfHWZo3EFZkeuxhwIPA/tkl/isAh8d740+NTkdEwY99fVE/7qQDf9zmMj1CJFPL3FxXRbZNshx78WxZR/78lP/uokrl7iIg7LyQuwK7SIiIiIiIo/5wf379++vdCEeidFZXE67YcN7bpDqLStVjijB/SfoMWLE7wLrHORsO/iwe7zRX0978iCNpU+MYZ9IED5Vz1c72h7N1p4YoPkXZxkeN4iNJoFMHHl2bAVHOFf5aDK4xOVmDndeI/51AhMbWZsdlPjOPTxO9Hw5J3qnHsPNweMtFM06hCBB39GfUX/56UnenEd76SxN7Zy8GaT5VwNQ4ODeUJLXK2vx7LA/ujajj/qO7zl49Okx7InBAPXRQtomryV6Zifejqdng7e9fZov6lIPAhKDAeo+DHPP9j1j5uu8XXcE72wT/4mIiIiIiLygrBXajR6qipuJUEbboA+3xjeLiIiIiIjIC8xS3eOTtyJEAF69R+RDL/tK97F7125qzkRITMy1t4iIiIiIiMjzxVIT0cVvDaR++CaKeaiDC0ezYDSEt7SKyj930lU53driCXoO76Z5cKajeugcqsW5ZKUWERERERERWRoWCu1xhodMwEbZya5Hs7VvzMUJBM8M8NV7TlxPTVZmw7HDizdvpuPmkr1URRYRERERERFZQtYJ7ck40VsAe3HnT2lPf7AkGHGMBLD+yR0zcZZWqyVdREREREREnjvWCe2xKH0ABTnkTu0DPxrjGgAbyF63dKfPz89fuoPLggwNDa10EURERERERCzBMqE9/k0EgBy3k6mLf8W//AMGPB3mH0rPmHYFRREREREREbEay4T25J9iALhedUx51SDSFwNsFBUXMv1K3pm43jvN6fKZjpyNY6a3RERERERERCzMMqE9+2UXEPn/2bv/2Krve8/zz5bqsLWuI0a2Es3JUnFuo2uWipNU2MstppnisoNJNzjZNW4ndtjBkB1w7sVutjaZxnBvwdEF02kMdzCMGoxETNU4qMV0mxhdajJpDio9lgInKmtHpccq4qyKfDSIc8d3fVTL+4cN2GDjH/zwIXk+pErh++PzeX+/dv94+fPjO7aiTzp452MIPL2VqhXZE9wZILi4gOADqFGSJEmSpAcpY77THiwsphCIXYgPH7gSofH7zVx+qorDDSUEb9s1PpOkie1bS/6uyMimeXdhMEXPiUY2H4zd1lbq4zbqXy6nvHQFy56ppPFkYmwVF9tp3FhO9a4m6tavpf5YfMb1JE5Us2xdG/FRx5JdLVS/UEn9j3ayubSSpjPJMfdMdl6SJEmSND0ZM9LOoyU0HE6x8webWPV/P8Ij6VwK1h3l5LfyyM7owA7prmbqj8Sh9C4aSXay87uH6O7vI96bJF1aOPZ8bxvVP+hlw385SmFOmti+cipfW8PlgZPsXZMD/RGa1u/m2mu/YO+qHOgvoLF4LfXZp2lcNdEshQkk2tm9I0J60agaetuo3fQhy48cpHJRAP63NipL19Ny5MTw5/YmOy9JkiRJmraMGWkHyF5cQeOxk5z8yTu8c+wAdWsyP7DTH6V5f+fdt5NTxLYjRznaXEXBOKd7TrcS6z1O29kkECC8fjPFQORwOz1A6sx7tPUXUPDVkZX/WWHyvw6dv+xkWuPdgwnadx0ifst6g57TrcSCYfKfGNkNcMGTLA8maD4Vm9J5SZIkSdL0ZVRof/ikiR48QHp9FUXjnU50UF/bTnzw9lPJM01UH759CvxEcoMLyWYucxkYPpCdSy7ApT760hC/0MHYz+Jlk/sYcKaH7mnMkU+c2E3nX2+lbMGYaun+KAHzgmTf2ME/l5wFQFc38UnPS5IkSZJmwtB+F9Jnmmga3MCGwgm2wQsWU7UqRt3GtjHBPXmmkS3HgtR8O8y4X7EbR86qRk53nabxmZG+rsSHw/CyPBYGksR/P9Gd57mcmOjcLXrb2PnrQmqeW8jYCfWXiU/0Sb0LvSTSk52fYv+SJEmSpDEM7TPVH6HpP0NVZSE5d5jCH1y5jb3lPTeC+3BgX0BDQxmhrJl333PiEJGsQuqqV0/wKbxpGozTtivCipefu6u6JEmSJEn3TuZsRPdQSRPZ1wx/s4/CKSTm4Mpt7GUn1atWcC28mYN3GdjT55qoP5JNxa7tlH158rH6ge42mjv6Jr4gdzlPDx4gsqKOPVNoT5IkSZL0YBjaZ+LKe7QdS5C4sIXygwBpEgDv7mD9hQJe3NVA8Tgz5gOPBnnkvwFz76LvRDu134uzev8+Khdf/4tBDqEngHGnqD/JXxaVUXjHLB6jKf883X9Vz/pfDh/p6wX6D1C3rp0Vr/yQ0DLg6ji3LlpAMPD4JOen+GySJEmSpDEM7TPxaAl7u0pu/vtKO9XP7CTyzHYOv1p42zr1xKmd1L6bR8Ob23jkXCObNrbR+GYZoenujN8fo+l7nRQ2N1D2V9mQjtC4sYeSNyt5fEEh0M3lPwHzAZIkeoHFC6bwjfswNV1nqLnx7xhN+ZW0LtpM45EyQkDsiQAc6aUvDaEAwGUun4PAM4/zODmk7nhekiRJkjQTrmm/z24E9pEp8TnL6jj4Uu9tm9NNajBBe309sb8u4vH/1k30bJToz9/j+LwccgOQs7KMsqwYXRdSw9f3dxPrClD4/PLp/3FgHOE1NYT5kI+vb3jX201Xf4iy4gICUzgvSZIkSZq+zw0NDQ3NdhEPs9iRcnafSNDTmwKyCS0qZMP16fGJDuoPXmPDq7evYU+eaaI+VsTeTSM7yCc72fndQ3T3j24rSGDZVg5vCtP95goqD6Zu6z/w7QO8XzsSjC910PiDQ8RDheTEYzxSXMOG58N33CjvVslTO9nS8iHxT5KkCZDzVyFK6g5T9VSA1Met7PxBJywLMdCV4slNNVQ8HbwRyic7L0mSJEmaHkO7JEmSJEkZyunxkiRJkiRlKEO7JEmSJEkZytAuSZIkSVKGMrRLkiRJkpShDO2SJEmSJGUoQ7skSZIkSRnK0C5JkiRJUoYytEuSJEmSlKEM7ZIkSZIkZShDuyRJkiRJGcrQLkmSJElShjK0S5IkSZKUoQztkiRJkiRlKEO7JEmSJEkZytAuSZIkSVKGMrRLkiRJkpShDO2SJEmSJGUoQ7skSZIkSRnK0C5JkiRJUoYytEuSJEmSlKEM7ZIkSZIkZagvzHYBN1xpp/qZnbD9JHvX5Dz4/pNRWnY18fbZHpL9AXL+ajnffmUrlflTqGUwSfToGxz4aSexK2myFxRR8tJmqlaFCNzazbvVrNoeGbeZwtl6dkmSJElSRsqc0D6brnZS/3wdHYECKr63l8J5fUTebqJ507P8YddJGlZm3+HmJB21z1L/wVwK1m1l79K5xE+8RfNr5cQHjrF3TXDM1QMDaSBM8cZ8gre0lPulWyO+JEmSJOmzzNAO9Py8iY7+MHVHDlC2YPhYQWGY4Ma1NO57hxdXVpI3wb3ps4fY8QEUbj96I6AXLi0iL6eUzTt20/7Xeyl59Ob1fZeikFVJ2aYqwvf3sSRJkiRJDznXtBPn/OkELCvhmwtGHZ4T4pvPF0LiV5zvnfju7o+Ok+Y5yopHj5sHKFhbQZgInb9JjjqeJtUPPPU4j9/bh5AkSZIkfQplXmgf7CN2rJ7Klfnk5+ezorSOlq7k5PfNWIrEBeCJELeuJs/5UgjoIXH1Dren00CA7Ftnts9fSBiI9F4e01dfAsjOvm2tuyRJkiRJt8q46fHRN9YTW/wcm2sPsGEgyns/baV5U5xrbx6l5qmJom6S9i2r2HlmolYraOmqGX86ejJBfJKa+vpSwJ3WtadJDWf32/2pj5t3X+byOeCpCAc27ub4uSTprBzC33iRzdUVFLgHnSRJkiRplIwL7eRv5eieEoJzAAooXFlA7nc209rQRsmxCkLj3hQg9HQllYsmanQhuROdGhyYtKRUf3rCcwuXlhE4cpy2jgoKR206l/ygg85xrk/3A2c6iZeupSIf0pcitL3bxOYLfbQcqSGcNWk5kiRJkqTPiIwL7QXfWD4S2EdkFVBSnkfrngixRAWhW7dcByCbcOnsbOwWyK9g69PH2bmjnM29NVQsncvl0+0cePc8AwCP5d4cox8MU3XyHUoGQ4RubE5XRdnSakp3tFL/9mpOrJ9oyztJkiRJ0mdN5q1pH0duTgiIEr9yHxqfM3fSS7Kz7rACfU6QkoajbCsN8YdjO6l+eTcd/YU0HttLGRDMHtX+HAjkjA7sw4JrqtgYhMRH3dzP1fuSJEmSpIdLxo20z8xdrGnPCRICIndoPTf3TuvZgawQJa+2UPLqqGO9bTQB4fnjTg24tQdyFgAXklyG2zbEkyRJkiR9Nj0Uob0vGQcKbhuhvimbgpcOcKB8ovO5E6yFHzmXD1yIkyDM6IidiPdM0u/Eek610kMRL+bfDPzJUzvZcmQuVfvrKBzzd4BrDFwFFuX4KThJkiRJ0g0ZF9qj739I4lslN9e190dpP9oDi+somHDQOkBwcQFTGdO+XZCClWHY1c6HvSWUXf9W+2CcD09EIVjFwmk2nPygkfqDCUIv76F43s3jOcHHSV1opu1UBYXPjwASKTQAACAASURBVGr0k9O8cwFCW8KOskuSJEmSbsi40E7XbkpfjFLxndU8yXne+2krHYkQFTuem2Eon1zwmRoqflpJ48bNJLZUUDivj8jbTbR+HKBsXwU3toZLR2l6ZjNt4QZ+8aPiUQE7TeLjKNGPokRPt9PxcYrslQ0cXXfLpnKL1lKz5i3qXi9n86UaKpYGSfW089abHcQXVNBSOvF8AEmSJEnSZ0/Ghfai145Rlmqm6WAtLVfSZC8oourgVion/Eb7PZAVpua/HCB37wHe+mE1rf0Bcp4qoubgd6nIH93vXALzxmsgRfTH1ew8l0Pe0tXU7d9A2dLxxsyzKXrtBEefOsDug7upPpKGeSEKntnG0ZdLyPNzb5IkSZKkUT43NDQ0NNtFSJIkSZKk2z0Un3yTJEmSJOmzyNAuSZIkSVKGMrRLkiRJkpShDO2SJEmSJGUoQ7skSZIkSRnK0C5JkiRJUoYytEuSJEmSlKEM7ZIkSZIkZShDuyRJkiRJGcrQLkmSJElShjK0S5IkSZKUoQztkiRJkiRlKEO7JEmSJEkZytAuSZIkSVKGMrRLkiRJkpShDO2SJEmSJGUoQ7skSZIkSRnK0C5JkiRJUoYytEuSJEmSlKEM7ZIkSZIkZagvzHYBengk3q2n6TdwuSvBk680ULcyONslSZIkSdKnmiPtmppUJ80fLGfbjgb2VELbq/W0XZrtoiRJkiTp082R9ruU+Plm1rwehZwCyp5fzF9McN0/X4xw/ndxeq6khw+8cICuVwoenn4vxug4FWHhxWIqlpVQwE5iPSnK5mdnXq0Z0rckSZIk3a3PDQ0NDc12EQ+1wQTttaXs/CBN4faT7F2Tc8fLU70dHPr+Dlo/KaLxdANFk2fezOh3MElPVx+5+XnkXGqjvLSR0K7TNKycQkOz9Y5mu29JkiRJuktz/v7v//7vZ7uIh9rns1m4OJfftX9A5FSMef+2hK/Mm/jyufOe4K+fW81jn+wmkl1GUWjuw9Hv57PI/R9zyfp8mmhLPT97bCu7NnyF7KkssJitdzTbfUuSJEnSXTK03wvZC/lm3lXeeq+TD/6fefwvz36Ff3WnMPv5bBYuDtH16yTh//lLzDgWzkK/iZ//RxqvbuDN7xfx2JzMrjUj+pYkSZKku+D0+HsmTWxfOZVH4gTWtXBmS/hT12/iRB1N/7KZhm+HuPx2Oe/MP0zdskBG1ppZfUuSJEnSzBja76V0jOYXKmnpDVC27/1pBlqANPFjO2g8k+ByLMy2d2soCACJDupfjVL0xjaKxluSfdf9Av1x2vc3EUllc7kryTcrC+g+/QfojxB8+SQ1/6qNtd9uIn7jhjzqjh2lbMF0H/Ee1JqM0rKnlcuBNB92BXmxci6Rs9cIxJMUvXGAkvn3se/J3lN+gPTFNnb8KELiUozw9uFjDCbo+EEt0af3sW3lndfVS5IkSdJ1fvLtXgqEqfphHWHStG3ZTaR/erenzzVTF1tOw8vFZF9t5XTX8E7mPSeb6eidS/ZEm6LdZb+QovP1enoKt9O4o4GaFVGa9/2BovVh+j5O0Xmmm/SXK3inq4uuG/+bQWC/F7UO9tDyt638xUt72LZjGxuC7TT9MpfKlY8Q7Y3S+VHy/vU9lfeUjtG8NcbyHTUUz0vReipKGuBiB83vxpk74Q9RkiRJkm7nJ9/utQVlNGyPULqjnepXw5zcV8JUx1VTA7lUfKeQvtPl9GQVs2FRAEjS/VECloVZeKeB4bvol3Qf6bwqKpbmAD18/Gtg2XIKv1pAaH8InggzUdepc2289Zu+idvOXc6LpWHGRNW7qfXqNQLfqeK5Lwcg1U3sHORtKuTJr2dzcH8xuYsnael+v6dUlNx1L1L4p9OUXwhQvH743SW7z5NgOeG8GYzuS5IkSfrMMrTfB8E1W9n67hpa5+fCIDDFDdtyllZQMhijaVOCwDNbWT4PSJ0negbCtXlMNkY7034JhCheFxr+7yvdnE9AuDyP7Dk55C29c6TNfqqMqqem2M+9qDWngIo1I/99MUYnAZ5bFCKQFSC8NHh/+57SexquL7ZvPYms59i6NBtIcf5sBBbXkedAuyRJkqRpcHr8fZA+10ZbVh2NLxeSM50d1gEudtHZD8u/OjK6fTFGJ3ksX/z4few3TeJclJ4kpGJRIqP6S51ro/PSNJ9hKj3OtNbBJD1nYyT6oeejTtIsJ7xoePQ6fqqNWOo+9j3l99RD16k0LAsTzgIG48R+DXmFT/L4dH8fJEmSJH2mGdrvtUQ7tY1pql4rI5Q182ayvzgXSBPt7CSd9SR5CyaZVn0X/aa7minduJndJyJ0nuoAniTviQD0xzjUGCN9F89xr2tNnKin/OVNNP86QuTnCViUT9684Tabjv0zcycLxQ/yPWVlMxdIf9RJZ3+AJxeFJlxmIEmSJEnj8Tvt91J/jKa/+Rlf2bmd1ZMNqQ6mSf33QebemjJzvsJXPh/lwNHf8PvoIVp+cYn0v/l3bF39xMTfC7/Lfud84Srxf4qT+pffkfrq/8m/pZXWX18h9v7veeJvqihZcA9T+13WOvfPV4j+137S//wR2f/r/0Hodwdo775C5P3P8b/XVvDV3Du0+cDeUy5f+Z++QPTHrfzm910cOtzOpf/v3/Dv/q9invgfJnk/kiRJkjSKn3y7VwYTtNfW0lO6j7plk29tljpVT+WFMo5uGbXJ22CK+MfdpHKeJDw/AJfaqHy+ieCekzSsmGAx9L3o90GZzVofYN+p3hjdV3N58qkgARK0rV9D0/xGTu4omnRfAkmSJEkazenx90Sa2P5aOpc2UDOFQJi+2Eb9jhiFTy8cGwgvvEX5xs3s/GU36cEE7W80EV+5lQ2FE0W9e9TvAzGbtT7IvmO8ta6SzQ3H6U5D4sRumi4VsbVyuYFdkiRJ0rS5e/w9kDhRy+6BKvaV3mHNcn+K5JVuPjzRQtORKKlgxcgn3UbJ+yZVT5+m81IHu797mblPH+TY8+EJN0u7Z/0+ALNZ64PteyHf3FTI6X9K0LGrmsuBQg7+pIzwo3fxAJIkSZI+s5wef5fS55oo39hKfJr3Bde1cOwupn3PVr8zMZu1PkzvSZIkSZJulZGhPXm2lTd+/BbRq7nQ/wjf/rvN5PV8SF/+RkpmYZRYkiRJkqTZkGHT49PE9pVTeQQqDh7jZH42JNqpXlNJMxDYuJySReHZLlKSJEmSpAcio0J74kQtm47ECW46Sk3+yLZdweUULYPIGXguvHAqrdDxWi1vXZpBAfNKaNhXRmgGt0qSJEmSdK9lTmi/2knzDyOkCVOxKu/m8cE/ED8DUEjeE1OZGh+k+PWjFN+nMiVJkiRJelAy5pNvyQ/a6egHFhVTMH/UiYsf0wmwqNAduCVJkiRJnykZMtKepvtCBIDAsoVjpqcnu8+TGOf4bMvPz5/tEvQQ6+rqmu0SJEmSJD0EMiS0p+hLDP9X0ROhMcfPnx0O88+FF8KVCK0noGhjIcEJ23owa9oNXZIkSZKk+y1DQnsOwQXAGcjNzb55ONFJ+0mAAvIWBEj+po2mvjLK7tiWa9olSZIkSZ8OGbOm/cmiCoJArCc+fOBKhMYtu4lmAeQRfCzOr34epWxFAX6pfXYk3q2nbns95c9U0ngqMdvlPBj9MVpq66l/eRWrXmmlp3+2C5IkSZL0WfK5oaGhodku4rrEqUbqdx3n8qOP88jcAir+42aK/txO/feaiaWzCZbu4fCm8Gc2tCfPNFIfKaThlUIGTmxmzetRyCmg7PnF/MUE9/zzxQjnfxen50p6+MALB+h6pWD6nac6qX89zdZdxaSOVbJmF9T9vIWy+ZA+18T6ny1k398VkzNnZs+WvthG/Y9h8/YyQlfb2bxmJ1FyKCgtYfG8CW662kskdp74J0mGn66CA2drKJhBDYkT1ey8UsXejXljfr96DlcSWdpC5RNRGldu5vizB3i/1j8cSZIkSXowMiq06w4+aWHt96+x7UgN4SxgMEF7bSk7P0hTuP0ke9fk3PH2VG8Hh76/g9ZPimg83UBR9h0vv925JvI3Rqh5+x0qvjgcqnN2naZh5XBDPYfXsr6vbmaB9mon9aXtFBzZS8nIZgWJE9WU7oiQXraNk/tKuOPTXY3T0VLPjp/0ULTnNA0rpvtwACk6X1tF61eP0VJ6fceEJO1bVrE7t5GT24vo/lE+m9+v4uiJSvLu2JYkSZIk3RsZMz1edzAYp+0f3iTv5Q3DgR1gTpCS722lMAsiO2pp671zE9kLiql56xjbnu6ksys1/RoWv8jR/Q2sXgCkB7h2y+m88jqe+0U1zeem23CayMF6EuVVrB61u2DwW1vZ+nQAzuyk9u34nZuYF6L4laMce62QztNRZvB0QDZFm2pg127ar1w/lsPq2hYOrl9ONmnS6Rk1LEmSJEkzZmh/CKS73qEpWUbJ0ltGkIMl7NlVRoAYjT9oIz44SUNzgpR8r4FHLsSmH2zn5JC3NI+cOWmiP2slsbKBqtEj2oECStbl0vqzzum1fek4h44VULJq7LR05gQpadhDWRbE9uyc9I8SAME1W2nI6iY2s9QO81dTtjLCoV/23DgUmB8mPD8AifdoezePyh0VjrJLkiRJemAM7RkvTfR0G+n8Ap7Muv1sYFkNB9eF4ONGyvfHJm8uWETdy4XMZAI5QOLn9RxgK8deLyZ4y9rxvKeK4N0OIlen3l78TDuxRQWEHxvnZFYhNfsqCBGjcV0TsSn8UaLo1SoKZ/pwZBNeWkDipxF6Rh9ORWl6LULh4cNUPeVqdkmSJEkPToZ88u0zqD9Gc/0hPv5jDMobqUy+Q2sil7mx9+gr3svBjdc33IvTcwbyyoMTrBUPEN60jcoPKmk5sonG/PepWzaDYJmM0rKnlcuBNB92BXmxci6Rs9cIxJMUvXGAkvmQOFFHU3ozB18Jcfntcg7NPzy2ry+FKKSV7l4ofmoqnaaIx3pgURWPT7B5XOCpKrZtjFD5Ziub9hTw/quFM9gELk38RBNNZ66R/ccoyaINFPSc5g8MEPnXmzn5ys11+MFQHiTP030F8h4F+mM0vXqagh82UpgdoXHdZdYeKSM07RokSZIkafocaZ8liXeb6F21lYr8FNHXGzm9aCt7t9exdV2Y2MEmjl8auTB1mT8kYOG/fnzixgJhqn5YR5g0bVt2E5nuZ8kGe2j521b+4qU9bNuxjQ3Bdpp+mUvlykeI9kbp/CgJF1up3tFJ5561LMvPZ+0eWBC8JT7nBAkBiT9NdX56gt6PIe9LE/1BAiBA+KVG6hZD+lg1uz+Y/sLy1Kkd1PcUsv31Bhqqv0n0YBN/WFlJuC9G6v0I3aObfDREAd0k+wBSdP5wE61n26helU/+smraFj3OHX4SkiRJknRPOdI+K9IMZBdRsriP6OsQKK2hZtnw/uh9yTgQYu7ckUv/JUUKeGSyn9SCMhq2Ryjd0U71q+HJd1wf7eo1At+p4rkvByDVTewc5G0q5MmvZ3NwfzG5i3Mgq4J3uiru3M6c4aIvX+0jde493vpN38TX5i7nxVK4lgAm+0TbnBBlr28j8p2dtL9SS/jdvZQ8OtWHS9M3uJCq8kJy5kDPhQ+B5SxfWkBB6AAh/pLw6L8YfAECJOm7mgayKdp+hq7tU+1LkiRJku4tQ/usCBBaVUHokxZ290PBooUjI809RH6egGUbKJhy4r4puGYrW99dQ+v8XBhk8jB8XU4BFWtG/vtijE4CPLcoRCArQHhp8I63TiT7qTKqJp0iP4U1+NcFS9j63Q7WHH2c3Gl9h33kXQOQpPujBCyuIC8bcuYVTP0PG5IkSZI0C5weP4sSv4uSII+Cr4xEx08iHE9A4YoC5n7cRsfFNMzL5XFg4M+Tt5c+10ZbVh2NLw+PKk/ZYJKeszES/dDzUSdplhNeNLKi/lTb1HdjHxwAIPeLj0zxhmyCiyA92QZzAP0x2t4JULe7hsJpJu30pRjRT5KQOk/0DOQVPjm8hv5qjLbTibEX/xnSBAmMs+mfJEmSJD1ohvZZk6K7KwrBAsLzh48ku8+ToIjVTw/wq4MRBr4YgEAuuUHo/n8v37m5RDu1jWmqXisjNM3AmThRT/nLm2j+dWR4pH9RPnnzhttsOvbPzJ3qHwCSCeIECX1pqtu355I7H+J/THDHleqDCdrrd5P+m+2UfXma29ClozSXV7L5H9qJnOqgA3hyUYgAaWJHdhNLzx17/ZU4UUKEbl2vL0mSJEmzwOnxsyZO79kAhS+VsHAkH+b89WqK5jXz1tZGCiobqAkChMhbBs09CdKExt+wrT9G0/c6Kdy5Z/JR6ME0qX7Izr7ZUu4TBYTnDZA8eYjcdXWU/OwAO1/vJfdqLmWvVZA31T8C/DFOJCtMyYKpBt5sQuE8+FmcyxROsCN7mtj+WjqXNrBn2eRD7OlUCrKyCVz/Q0PgL1n49RxCf4pyqKuQbZtSNP2oHjqA8Fa+u3Jsm4l4DywuYOG8KT6CJEmSJN1HnxsaGhqa7SJ0Z+mzjXzj5QB7z9ZQcOuo92CC9tpaekr3UTeFUJs6VU/lhTKObgnP4NNpd9bz5hrW/7GGkzuKpv4d+EttVD5/mpITBygZZ/l84kQ1tT1l7HtlClP+r3ZSvzFG2U9qxm4uN2UpOl5dQVveUQ6uz7vn70eSJEmSpsvp8Q+BQH4JGxe00v7BrYvLb45C10xlFPpiG/U7YhQ+vfDeB9J0lPYjuWz8zvKpB3aA+aupWHWeQyd7bm/yXBO17xfSMJU1+v1x2nbUE3u66MbMhWm79B5tZ4opW2NglyRJkpQZDO0Pgzl5VPxdJT1/d4jYqE3bEidq2T1QxfbSCabNA/SnSPZGad+3mVXfbiQyr4iiRfc+kvYcbSRaWkPFtNvOpqh6O6HDzbRfGXV4Kmv0B9OkrsSJnmhi85q1NH6QS9GM/yCRovPgAbK/V0WxW8pLkiRJyhBOj3+IJM80suWDQg6/Wgjnmijf2Ep8mm0E17Vw7B5PjU+fa6L6nxay7eVigjPcdT19sY3aPVCzv4zQQIymdZW09k6zkWAFLcdmNjU+caKOpmQFW9eFp7fzviRJkiTdR4Z2SZIkSZIylNPjJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2u+FVIy27ZspX7eWFU+vonJXB4nBGyeJn+0h0T/yz8E0iQtR4lfvvtt0IkpLbT0dienUA/THad9VSfkrjTTVVrJ2exvxfqbufrc/gQmfd7T+GE2l+TSeSc/svCRJkiRlkC/MdgEPvcE4bVt20vvSQY4uyyF9ronyjfWsSQxwcl8JOcRpf7mS1lG3ZK+sYW9twYy7jB0pZ3cHpK/0EL+aR93L06knTWRfObv7t/OLPcXkzElTsOsbrN3xCKd3FZN91897l+1P93nHSBM9WE9rL5TN6LwkSZIkZRZH2u/WxdO0fhzn+LEoSSDw1AY2rwLOHKL9k+sXhSneWEnllm3sPXKCk69XEM6ZeZfhdUc5+pOjbFszg3pSH/LesTQF+QXkzAEIEM4vglPv0XnlHjzv3bY/3ecdJd3VzIH3Z35ekiRJkjKNof1uzQuycB7MDcDAIEA2uY8BJOjruz4FeyGrK6uoWldC4aIggTm3tJGO0bKxieg4U8jTF9uo397BnWaET6ueizE6gMdzb455Z+fmAhF6fj+FKeP3pP00sTcraTo7Tn/9cdq2TzIFfjz9UZr3p9nwctHMzkuSJElSBnJ6/N16tJjGU8WjDiSJ/x6gkLwnAiPH4kRadtLem2KgP5eiv9lMyV+NmigeCFPxSheb1jSSPlFHYdbw4fTFNmq39VL2j3UE71E9yd/EJ7z1/KXLQOgBtB8g/MJWurasonHwJHXLRt5Tf5y2+np6S/dRN+UHBkgT2ddE+qV9FGa9NYPzkiRJkpSZHGm/1y60c+hMgMLaGlY/OnwoMC/AgqIaGnc1svelv+DQC6tu2wgtsKiSg/tyObSmkUj/2MBeeBdT6cer556aaftZeVTuO0huy8i7GB3Yl03vgdNnmmieU8WGpePfN9l5SZIkScpUjrTfS/0xmra/SfYLe9heGmJ4/DhM1am9N69ZvJwiWmg9eJy1y8rGjGsPB/cWNq1ZQf2jq2m428A+bj13MPAJbQffo2/CC3JZXl5G+Pokgem2f6uR4N6yZRUreoOs3jH9wE5/hKb/DFX/WDiyhn6a5yVJkiQpgxna75XBBO311cS/dZB968I3AmLqTBN1BxMU72ikZMGo6y/0kkhDaLyk+2iQ4BXgi/e+npwvhYDIuLc8+cQKypatun/tz398gsaCBB9NwAz2lk+eaqPtSoLz3y2nGaB/eDH88Yb1nP/qi3x/6Xt3PL/n9eKpLz2QJEmSpAfM0H5PpIntr6Vz6UEaSvPInpMmsms9PWsOU9jTSfTCXEJ/SsGCbEinSAMsyyN0y8hv+kILmxr62PCPRym42kbtmkYYtcb9XtRTGQxRCHQn+mAkriYTcSDMguBUx8rvUfv9PbRs2UFf5T6OPnWNtvpVNDJqjfsU5KzZS9eoXeWTJ6pZtSPCc/WHR9opnuS8JEmSJGUu17TfA4kTtdTHCiiaf43urijRs8d5791ccnID5BU+R2jxWtbmD48iJ0+/x3FClJUXERwV2m8G9uEp8YEvl7HnvyygbWSN+72qh0dXU1YaINYVIzXcM92xKIGnS1g+/wG2Pyqw1y3LgawQZQ0tLDh2+3p/SZIkSfqs+tzQ0NDQbBfxUPu4hRXrm0cC6ihZZRw4VUdBAJJnmqj9UYSBwDX60k/y7dqtVI7eFC0do+V7neT9Xc1ta9jTF9vY0fIIVaOmcceOlLP7FPT19pDsh8CjeYRyQ7y4q4Hi5OT1MJigY089hy6FKJwXJ5ZdTM1LZVP7dvwUnnfy9tPE3qylc9F2am5dw94fp23XIR7Z1EBxcArPe2Nue4zWdbtpT/QQvwrMC5G3dMOo6e+TnZckSZKkzGNolyRJkiQpQ2Xkmvbk2Vbe+PFbRK/mQv8jfPvvNpPX8yF9+RspWeQ6ZEmSJEnSZ0OGhfY0sX3lVB6BioPHOJmfDYl2qtdU0gwENi6nZFF4touUJEmSJOmByKjQnjhRy6YjcYKbjlIzsnEbweUULYPIGXguvHAqrdDxWi1vXZpBAfNKaNg39tvpkiRJkiTNlswJ7Vc7af5hhDRhKlbl3Tw++AfiZwAKyXtiKlPjgxS/fpTi+1SmJEmSJEkPSsaE9uQH7XT0A4uKKRj9abCLH9MJsKiQ8KOzU9t48vPzZ7sE3SNdXV2zXYIkSZIkjStDQnua7gsRAALLFo6Znp7sPk9inOOzzaAnSZIkSbrfMiS0p+hLDP9X0ROhMcfPnx0O88+FF8KVCK0noGhj4R2+re2adkmSJEnSp0OGhPYcgguAM5Cbm33zcKKT9pMABeQtCJD8TRtNfWWU3bEt17RLkiRJkj4dPj/bBVz3ZFEFQSDWEx8+cCVC45bdRLMA8gg+FudXP49StqKAz/yX2vvjtL1aR9vF9APoK0bTC/V0JO9/V5IkSZKksT43NDQ0NNtFXJc41Uj9ruNcfvRxHplbQMV/3EzRn9up/14zsXQ2wdI9HN4U/myE9kQ71d9po/DIUcoWjD6RovO1NbQvPcreNWMXCaQTUVrfaCf43QaKR59KxWjbc4D23j4SvdcIPfNdGmqLCc4ZOd8fp33fTtquLKRgTjeRLxbT+GoZoayR85+0sHZjH3Wn6iiY6cvvj9G0rpL0K2eoWxaYWr+TnZckSZKkT7kMmR4/LLiyjpaVdbccrWDvuxWzUs+sGUzQvmsnkf48Cm85lT5zgPrEixwelcpjR8rZ3QHpKz3Er+ZR9/LotuK0bdlJ70sHObosh/S5Jso31rMmMcDJfSXkkCayr5zd/dv5xZ5icuakKdj1DdbueITTu4rJBvirCuqe/QbVB4s5syU8gwdKEz1YT2svo5Y2TNbvFOqSJEmSpE+5jJker5sSJ3ZzqHe8rfYSHP9xGwVriskbNeIdXneUoz85yrY149xy8TStH8c5fixKEgg8tYHNq4Azh2j/BEh9yHvH0hTkF5AzByBAOL8ITr1H55XrjQQo+NZGco+00Zma/vOku5o58P4tByfrd0p1SZIkSdKnm6E90yTa2X26gK3fGWcP+94Paf84j4LwxHvn32ZekIXzYG4ABgYBssl9DCBBX18aLsboAB4ftQFgdm4uEKHn96PWzOctpogOOs5MM7X3R2nen2bDy0Vjj0/W71TrkiRJkqRPMUN7JhmM07ajk8LqMhb+xe2nU7+P0cOThOZPo81Hi2k81cXpXdfXsCeJ/x6gkLwnAiT/GJ/wzUFJgQAAIABJREFU1vOXLt/8x5y/JLQMOnsmvv52aSL7mki/tIHCx8aemazfKdclSZIkSZ9ihvYMEj/WSGRFDc99efzd3hKXYrAoeHMDuZm40M6hMwEKa2tY/eh0bhz5LF8iwVTH2tNnmmieU8WGpTnTr1OSJEmSlFkb0X2m9bbReHYFdQ2hCXfHH0glgADMNLT3x2ja/ibZL+xhe+nE/Uxk7heAxDX6SBA9eJzuO1y78JtP0vWfoeofC0fWpEuSJEmSpsvQniFiJxo5351H/ab24QN9cSDNge+V075yK4c3zWTX9lEGE7TXVxP/1kH2rQvfCNI5XwoBkXFveXL+4xM0FqRoUxVFE5wFSJ6opu5KgvPfLacZoD8BwPGG9Zz/6ovsWXvnfnOyZlKXJEmSJH26GNozRHhLF2e23Px3bF8+lUfy2PzDm99pz34sDwZmsglbmtj+WjqXHqShNI/sOWkiu9bTs+YwlcEQhUB3og8Y3uAumYgDYRYEx47FD/wZmDeXR6bQY86avXSN2s0+eaKaVTsiPFd/ePg77VcG7txv1tTrkiRJkqRPK9e0P0Ryc0JwMUFimrk9caKW+lgBRfOv0d0VJXr2OO+9m0tObgAeXU1ZaYBYV2xkrXqa7liUwNMlLB+z4V2SRC8Enwjdm2+kT9bvlOuSJEmSpE+vzw0NDQ3NdhEaJdnJzu8e4sPeHpL9EHg0j9Ca4enxgd42ykvfYfXb71Dx5Zu3xI6Us/sU9I2+JzfEi7saKE62sGJ98+2bx2WVceBUHQUBYDBBx556Dl0KUTgvTiy7mJqXygiP3j9uMErT0mr69pykYcV0YnuM1nW7aU/0EL8KzAuRt3QDe14vJjhZv1OpS5IkSZI+xQztD5UEbevXcHrNCQ48P41vtd8LF1pYs+kP1JxooGjeg+1akiRJkj6rnB7/UAmyuryY80c66Hmg/aaJ/vJNcte9yHIDuyRJkiQ9MIb2h0z2yu+yPfQmzSeSD67TT1ppPFtGzQt50/5MnCRJkiRp5gztD50cihuOUvh+PW29D6C7/hhNe/vY8EYV4awH0J8kSZIk6QbXtEuSJEmSlKEcaZckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIy1Bdmu4CMMpgm8fF7tB1pJrDuJFVPTe225LvVrNoeGfdc4faT7F2Tcw+LlCRJkiR9VhjaAa7GiZw4xKEjHcSuDh+qWDf12wcG0kCY4o35BG85l/ulwL2qUpIkSZL0GWNoJ0bTykpas3IoLN1GQ6CD+jej02qh71IUsiop21RF+D5VKUmSJEn67DG08zir97/DhvwQ2XMgeaJzmvenSfUDTz3O4/ejPEmSJEnSZ1ZmhfbBFD2nDnHox+109qYgK4fwM1VsfbmEvOz71WkOeUvvZs15ir4EkJ2NE+ElSZIkSfdSBoX2JB21z1L/weMUbdnKgbwc0n+KcOiHOynvSnL07Ury5kxw65V2qp/ZyfhbwQHrWujacr8mrl/m8jngqQgHNu7m+Lkk6awcwt94kc3VFRS4B50kSZIkaYYyJ7T3/or3+kIUv76PhlXXk24BBfNSLHvlTX51oZK8xRPc+8UQhRsryZuo7bzce1/vKOl+4Ewn8dK1VORD+lKEtneb2Hyhj5YjNYSz7mv3kiRJkqRPqcwJ7QvK2Huk7LbDgUeygTQ98SQsnmDYOjtM2aZZ2gJuMEzVyXcoGQwRevT6wSrKllZTuqOV+rdXc2L9hH9OkCRJkiRpQpkT2gH6E0SONdN6IkK0NzXb1UzNHAjkhAjdcji4poqNb0Zo/qib5Po8nCUvSZIkSZquzAnt6RjN6yppoYial/ZS99UQuQEgdoAVr7Td+d5ZXdM+kVxyFgAXklwGQ7skSZIkadoyJrSnPmijpTdI1ZFGKhaNOvHIFPZkn1fAhv0HqJjofO6t4+D3TvLUTrYcmUvV/joKx+xwf42Bq8CiHD8FJ0mSJEmakYwJ7el0CujjWnrs8cTv45PfHAgSXhq8L3VNJif4OKkLzbSdqqDw+VE1fHKady5AaEvYUXZJkiRJ0oxkTGjPyV9NYVaE1i3l9D1XSDAL/vnjd2g7mzlr2xM/30zp631UHD5K1eKRGQCL1lKz5i3qXi9n86UaKpYGSfW089abHcQXVNBSev9G+SVJkiRJn24ZE9p5tJg9h6F5/xu0/aRl+Fvnz9Rw9BVo/vZOor2zvzJ87tzxpupnU/TaCY4+dYDdB3dTfSQN80IUPLONoy+XkOfn3iRJkiRJM/S5oaGhodkuQpIkSZIk3e7zs12AJEmSJEkan6FdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMZWiXJEmSJClDGdolSZIkScpQhnZJkiRJkjKUoV2SJEmSpAxlaJckSZIkKUMZ2iVJkiRJylCGdkmSJEmSMpShXZIkSZKkDGVolyRJkiQpQxnaJUmSJEnKUIZ2SZIkSZIylKFdkiRJkqQMlUGhPUZTfj75W9pJ3vG6NLGDa8lf2UQ0/YBK091Jx2guzWfFj6I86B9Z8t1qlj29mfZLD7DTWXzeSZ1rIj8/n6Zzs12IJEmSpKnIoNA+dQP9fUCK9MBsV6KpGSB9FfiXNA/6RzYwkAaukXqg6Xn2nleSJEnSp8sXZruA6QtQ8Mppul6Z7To0ZYECak51UTMLXQefP8CZ5x9wp7P4vJIkSZI+XR7KkXZJkiRJkj4LHsrQHtuXT35+E7HrB66v0+1KEj1ST+XKfPLz81mxvp62C+PMi0710L6rklVP55Ofv4xVGxtp/yR1+2WfdNBUu5YV+RNfd72WyIVW6kpXkJ9fTfuVO9c90bXJsy0jx/PJX7mWujejJAdvaWQwSfTNOtauHFXTxTjtW/LJ33f9jSSH/72lneipRiqfWTb2fY1pI58VpXW0nL19J4HUJ+00blzFsvx88vNXsLa2iY6Lt7/PMXU/vYrK7a1ExzQ3sl/BjfrGr2PZM5XUH7n9ma+/t2gySuv2ypGfxwoqt7fR0z/+u75R24nq238mU+x3XFeitFz/nXh6FZW72olfbKd6zDrxW573yvD58rfjtzSWJrIrn/ynm4iN6nvS34Pp/r6PZyBBZF/12P8P3PjZpuh4NZ/8/Ho6b/m/RfpMI/n5+dSdTAEpIq+vIH/lTiK3/99HkiRJ0j3wUIb2iUR2baLu7CMU1x6g4dUyFl7qoHHTDjqvjroo0U71t8rZHQvy4msHOPCjraye+x47X6ik6dzNwJN8t5pVL9QToYSt+0eu4zg7X6ik5ZNbe26jdlMz5+cVUrGxgOCcO1U53rVpYvvWsurlt0g9XcPe/QdoWJfH5SObeba2ncSNwJako/ZZNh/8kMDSSrb9aA9V+ddoW7+WnWfG6ercbqpffY/UV56j8oWFZAP0x2j69io2/zRF4Za9HNjfwIa8y7z58rNUn0jcuDV9ronKF3by3tzVbP3RAQ68voG8y23Uf7t8zPMnTlTz7MtvcjlvAw37D7D3e6uZe6aJzc/Xj33vt7pex5HL5K1r4MD+vWwtnktk363PfF2Exv9QRySrmK37G6grXUj83UbWv97JtPLiYIL22mfH73f7JG1d6aC6dDPNZwMUbtzG3oYq8lNtlH97J5E73fdoEatXQs8vo4yJ7ekokWMQXLea8LR+D0beyFR+3yfQVltO85/yqGo4QMOrz/GXvW3sXF9LewIgm6I1ZUAHnWdHv5E05yPHgWKKl2UDMDA4AGlcuy9JkiTdL0MZ4/zQG0uWDC352+NDfZNduXfJ0JIlbwydv37gozeGlixZMvTsf/rt0MCo6wZ+s3voa0uWDL32T9dGjlwb+tX3vza05Nk3hn7730dd+Oc/DL3975cMLfn3bw9dHhoaGhr6w9Dbf/vC0Avb3htby3//cGjHkiVDXztwo+eRWp4deuM314YmM+G1PYeGSpcsGdrys8tjDg9Edg99bcnXhnb/ZmDM86z/6R/G3n/5+NCWJUuGluy9Xlff0PG/XTK0ZMmWobf/OPbS7pbSoSVLtgwdH9PVwNCH//C1oSVf3z3024Hr72n4Hf/2z6Mu+2/vDdUuWTK05D/99nprQ4eeXTK05D8cHxrT3O8ODT27ZMnQphvPM/Kz3XvzvQ3XUTp06Hdj67v2X4efcUv7zTd/471Fx/x0h37b+LWhJUteG/rVHV59X/uW4ef908iBnltrG6nnx88OLVmy6Zb3MvYdDfe3fujt+Ngzl3+2ZWjJkiVDb3x0o+LbnvdaR+3QkiUvjLl3ILJ7aMmSZ2++gyn+Hkz9930cI/eW7j0/5t7rv0Nf+8Gvhq4NDQ0NDfx2aPfXlwwt+f7Iv4eGhob+fH7oja8vGVryDx+OvVeSJEnSffOpGmkvKiogMOrfgVAeBUCqf2QEPRmh/WSavPISCrJGXTgnREFxHnwcozsFEKJs31GO7igmZ3QHWdlkA+kL8Vs+S1dE0dLsqVZ527WxzjeJU0bZt4JjjgfyC3mONB9eGB6f7f7oOGkKKVkRGttkMMQtR4YtK+Kb88f0xK8Ox6G0jNVjugpQ8PRz0P8hH/cCZJP7WACI09MzaqR1XjENp05z+qUnRw7kkrMASPTQnRg1LTuvgqOnTtO4auzz3FbHyg2sXTT2TPbTa6lZBJFTH97+jvPH/HT5y7wCIEXqXyboZjzzcggBl3u6GVPyuqOcPtXI6scmurGb6C/SsKyEby4YeyYYGvftj5G9rJhiemg/e32sfWTUOvgchSPvYKq/B9dN+vt+B4VPh8fcS3A1ZaWQPhGjexAIPMmKZwNwspPo9V+Bjztp6w9QtmJsv5IkSZLun4dw9/i7cKl7eBrznrXk7xnvgtzhAJgNkCbxQRvNb7cTORuf3hTsaUkSv5AG2qhe1jb+JakBIEXfpTTw/7d3/6FR3/m+x5+Ly4QNm+IlweWOeHBOl04pOG1hBiHjlZM0F2PLOumisTRpDo7+oSloTtnG3ttYLsaFGpdulGMSOGlkNVm2aaAmpWuE3rh4OwUZoW3KLc2yZyNn6UAlAdksudfhiveP+COJSYzWmO/W5wMCzvfX5/Md55/X9/N5f74RIqvus6nLo1M14H37KO2b+5C/3qgRj+06QcPIblrrymgtLCa6/jlSP9vG5mSEolvT/4tJvdHC8C+aaNzSCysjJErLqPx5FZvXhQnNVyZwox+htWHufNSxmtVPAX2jfAMzH5o8CKtS7H97mNcPNrKlD4rWJkhWVFK9ZTOx8AJRdGKM3CTw08j99aloA6ntIfZ8lGV0e4RI/gvOfZgntreSKLD438FSCVHykzAwSm4cWBUi8cIuwu+1MXRhP+UVRYxcHCJfWEXZs0Z2SZIk6WF5tEL7DYldLaSfnWtkvIDVKwHyDHfUkO6E8r07Ofp6gsjKEDBMe8U+5olU301xisaDlXOPmJdEgAIKFjuYf7emXmzkUMXco8MlN0eRC6PUHj9H9V9GGLrwPxm+cI7213ppWVnOoZMtVN4cDA6Xc+DUH6j/yxd8cj5D9nw/h3d1cfiJNB2d9cQK52xmqq2CggdzQ/coXHGAno31jH72CZlMlqGBw6Q7DxPd1cGJ3bG5R5ELCnjsO7Ua4umNVYTe6yd7qZrIlQynJ2M0rJ81G+Guv4OHKJqkKtxG27ks+ytWkxnIEfpZGU+b2SVJkqSH5tEK7asiJIC//qcIifULBKCJT+jtHCW8u4eWuui0HUVLMC24mPBa4NMCVj+bILFAA1MjoTlyVyC28n6aChMBMitW8/T6BaY4X8szMXEVQkUUrYlSuSZK5dZ6GnP97HupmabjQyR/WU7RzeMKiyhemyC1NkGqroH8563U7Oqi6b3nGNgRvfP6qyJECyHzp2+YIDprtH2UkU+B0gir7+MW72pygok8FBQVE1mfIrI+Re1reYaP1ZDubKK7fID0E3OcFyqhJAzkckwQm2OGwN2F4pVUF/bSf2GUJ7/tJV+6f1r5wuJ/B0sjz9i3OaCc8M2pBCuiJF8M03Z8iOwL/8jpXIjq/+rUeEmSJOlh+l7VtN9VOEHZOhg53npjlexpclkyN1/nls8zAYxNzpqO/Jevmf3Srgfh6WQ1IXpp7RhmZjVynpHzt1/3FV1fRZghes/O6sWlr5n1MrW5rXia5PYQ9LXS9vmsuufJETK3Xvv2Ne9uKaPsjVkrlv8kRmIt8H/yU/0cP0NTRRk1/5qd0e/QEwliwNjV+aZzx3iuLgxn23n/q5l78p/205mDZMWGBz81Hhj/uImyihraPpvRY558JgaM8X/nnYEeJbklDB/3cubSzD2jI4v69mFFjM11YUYGW2jvy1P+QvmMe1zs7+BByJyf1UbuDL19ENqe5OlpZQ3RslqiDNL69mly4V1sXvfg+iBJkiTp7oI30n5llOyF7JyBrSSaIHI/I8y3hKn+5QEyLzXTXLeHkd0pytYUMz7Sz6nOQUbjB+h7O0W4OMHmjSEyJ3dT8201yTUhuPIl7/dll6S2PbS+gY66LOmTu9nxbS3VmxKEyZF5r5XuCyXUdnTREC+Cp7bRsKmTxiM11AzX88qWCFc/O0PvbwcZWVxLJF7toPZCmu69Oxh7uZrNz4bh2wzdx7rJrqyl/UQDiaIY1b9I0nuwmZq9ozRsT97uz1chkgcTU/8/qzazs66b9Ml97Biv55UtUYqvjND/mzYGiZBOPjlvT6IvH6J2ME3b7hr+vOsVUtEiche6aT2ZhY0H2P/CUkR2KK7YSe3JNN2v7WBs1yukorf//1mbZsMcEwNu9XlrA5UnG2mpq2F41yuk1l4le7aX7rOL+/YBoqVVhDvayFLOoVkLEi76d/AAfNO3m00jVezZUsZjE+fo7+glW5jkQM2skfS1G0ita6Hlyxzh3UmiM9YpmGDo4CYaP95My0cHKH9A5RuSJEmSbgteaP+qm6ZXu+fcVdt5kYZnvuP1wymOfhCm+2g7p4410Ts5tRjZ5r1dHHsxRvEKgGIqD/VAZyu/7uumazJE8TNVNPy2ETq20XxxlG+ucePYByFEbG8P70fbaP+392k+2wWFxUTXv8LRD2qnHhoAUET5wQ9pjxym5XetNJ2d6lf9iaOMbt/H3N/aLIUxGk6+z5Od7bzb18xgJ4RWRdnw0lEGXk4SvlGDHt5ylA/D3fy64xSHX+smT4jiZ8ppOP4v1K6/Gain9/tdml6dAIqIlFVz6H/spPKJBSZST+/HySb2XIHQqhjle9v5l5rEA/xu794uKyOUbz3EWzsqiS4093tlOYc+aOcf327h1LEmBguLiT1fT887o2x7bVHfPjxVRu1TbbSsqSR5xwOoxf4Ovqswu453ED3XSuuRPYxeCVH8TDUH/lsDqTsW/A/z3ItJWr4cpWrjnU80ClYUQAiWZ3UCSZIk6fvvB9evX7++3J3Qd5TP0FK6j966Li7ujS13bx45+U9bKN3b+2AeKgXQSOcWagaq6BlIs8BEBEmSJElL4NGqaf+7lyd7oovhyZlbx8+d4TRQ+dRDXl38UTOZpevErFrwa+MMfXQaqCT2+DL1aylNZjkzkCNWV2lglyRJkpZB8KbHa375r8l+1EZXT5bavbUkf8KMOvD6MouKl1L+37OcOd7FqYu1M+v8L0DyrfrvV033X4Zo+2iY3PleBq9U0lJxx7x5SZIkSQ+B0+P/3lwbJ9vza9p/N8Tw5fxUPfrPG9i/YwnrwHXb5Szd/9rOqT8MMz4ZoviJDWzft5/0+qVZOG/ZfNlG6Y4uCtZV09DUQOpxX/QmSZIkLQdDuyRJkiRJAWVNuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhvblcLmfffE4+wbGl7snkiRJkqQAM7RLkiRJkhRQhnZJkiRJkgLK0P4AjA/sIx7fR//l5e6JJEmSJOn7JBih/cogjfE48TeHmJixI0/m7TjxeCODV5ao7WvjZE82kX6+lHg8TrxiG42dWcavLVF7M9oeY7iviXRFnHg8TtnWRrouTqtzz03VvpfO+l7yn7ZQGo+Tfm/0IXRSkiRJkrRcghHaV5aT2gqcHSI7I51+Qeb3wKZKkivnPnX42FTgnfvvLqPf+WHatm9iT2eO2O4jtB9v51BdhNGOPfzsrdkPEB687K93sO/cY1S+3s7Rt9IkQ5/Qtns3rZ/npw4Ip9j/ZpL82SbaP72xbTJL29u95Nc1cmBrZIl7KEmSJElaTj9c7g5MCZEoqybU18vQhf2UVxRNbf4qw+lJqH5hA0XznFmyLk1613zXLSHyo/lbnbg4RKYwSv3xLtLrbmxcnyD6wxq2vdNP5rVyKovv744WJb6fniMpwisAEiQrEpS8tIfuQ72k+mqJAOEt+zlwbgvN73RSGa+n4L0WunMxGo9VE1mxhH2TJEmSJC27gIR2CD1bRlVhL73nsuyvKKcIGD7fS76wmrJ4aN7zwmX11JfdX5tFpQ30lN65/bEflwAZvv4Lc4f2z1uJ7+q+Y3Pz83Gab32qpetiA7EF2k/804Ybgf2GwgSpmijdRzIM52qJhIEVYVJvHGBoSzOtb4/DwCix19+neu0ib1KSJEmS9HcrMKGdUIJUXZjejiGyb5RTXjjCxY/zhH5WxtPzZ/bvbnyY/p5uegc/YeRyfnHnFMdI70rf+vi3Pw7Sex6S2yuJ3poS8CQl99GdkuIIMMjoZSB8Y2M4xf43h9jyy35Y18j7TouXJEmSpEdCcEI7EC2tItzRNjVF/h8ynM6FqNr4NAtl9uFjcdIn59ub5MDvj5JaNc/uy4Ps29pE9ola9r9xgkQsTBGQO9tIzZHs/I2uKad+d/mtj+MDI/Seh/J/rp+/re9o4kruxj9yTFwFCpemHUmSJElScAQqtPNUkqpwG23nsmz+6WlyhdVULjA1HiDyQjvt6+fbW8DqeRawAxj5qI3MZDmHftVA5bTjSn60lEP7CxsbHwUSRKaH/z920XR8lGRdGvq6aO4sp2dvbMGHGZIkSZKkv3/BCu1EKauJ0naklcNf5gjXbSZ2l8XWih5PkHj8/lq7enUMuMrV6bPir03w5z89nFepZf/wCbkXUrfr2iez9PeMwLpGEjenxueHafvvbYyurefQq2mK1oyw5ZfNtG3soeEZY7skSZIkfZ8FLLRDpDRFjBaGc2HqS6NL2taTyVoinV00v7yHka3r+DF5cud7GfzjImvbbyosIfoUFN3rau4XD7P1lSy1L23mab7gzO+6GcxFqD1YdaOcPc9wVzNdlyKkT9QSXQFsaaBxYBsth9ooP9lAzGnykiRJkvS9FYz3tE+35jlSpUC4iuRTS9tUaF09HR0NVK75mt7OLrr6MuTLj3K2I00IGP2P8UVdp7jiAD0nD1B+j6+HK3+zj46fw8WO19l3sItMfgP1HR23RtDzn7fR3DlK+OVGdq27Maq+IkLVa2kil7pp7hzmHh8vSJIkSZL+jvzg+vXr15e7EzNcG6HrxRpOv9jDwI6lHWmXJEmSJCnIAjfSnv/sDKdzMWorDOySJEmSpEdbYGrac+faOP1ZjszpQcY2tbB5zXL3SJIkSZKk5RWY0D420k3XbwuIbT1Az95yipa7Q5IkSZIkLbPg1bRLkiRJkiQggDXtkiRJkiRpiqFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCihDuyRJkiRJAWVolyRJkiQpoAztkiRJkiQFlKFdkiRJkqSAMrRLkiRJkhRQhnZJkiRJkgLK0C5JkiRJUkAZ2iVJkiRJCqgfLncHAuPaBKOZft49MUzicAupVYs7bbijlHRnfs59tZ0XaXjmAfZxhjyjA620nDxD9tIErIyQqKilcW+KSOEiTh/P0n20nVN/GGZ8sohIWYqdu+upfDw068Bh2jam6Zqc6yK1dF1sIPbdb0aSJEmSNIdHPrTnc8Oc6XuXtr4M45MASRL3cP7VyTyEk1Q/H+XHs/Y9Wfzg+jnbyIkaao5/Q3RTPYdej8JIP6c6m9l2cZye99JEVyxw8uVB9m1tIhNKUPuLoyQLRun/TRtNO0a5+rujpMLTjr12lfwkhDdWU/nEHXdIyRLcmyRJkiRpyqMd2i/38/qWZjIrY1TuOkrs0j5aBu7lAuPkLgE/3czO3ZUsYUafaWKIU8dHCW09yok3koQA1ico/+lj/NPeNk6d28ahiqJ5Ts6T/c1BMiQ5cPJmQE+S+C9RSl7aQ/Pb/Ww4lrp9L+M5RoFIxU7qn39odyhJkiRJ4lGvaf9RjNqTA3x6totDdUmeXHmvF/grV68Aa8PfKbCPD+wjHt9H/+XFHZ//8iKDhKiuvBHYbwitr6S6EAYvDjP3hH2Ar8l+mIfnq9k8fUS9MEF1XQw+HeKT6f2YvMoYEAkb2CVJkiTpYQtGaL8ySGM8TvzNISZm7MiTeTtOPN7I4JUlaLcoQuKpMKGFppIvaILcVxAuKniQvbp7q2PfAAki4Vk7Vqwm8gyQG5v1Pc6UnwQKi5hdvR7+aQzIMJqbtvFKjhHCPLaYOvnpbVxsZUs8zrav4I/ZAAAGrUlEQVQTIzO2j76XJh4vpeXT+R8rSJIkSZKmBCO0rywntRU4O0R2etrMf0Hm98CmSpLzjIIPH4sTj8/3t/jR6/tyY+p40Z96adxaNtVmxTYajw0yOufCbQ/GN7nswgdcGmfsbheZnJh3NH5s7PZ/wnhuFCjiz+83sq1i6nst29pI69nRBUbzIRSv58DLYUaPH6b30o2NuX5ajwwT2nqEhtLZjwwkSZIkSbMFpKY9RKKsmlBfL0MX9lN+sx77qwynJ6H6hQ3MV6Fdsi5Netd81y0h8qMl6O5N164CMPK/viZStY10Bfzty/fpPdnEJ5eu0nckRfi+R/EXkL/LKHXur1ydd+eTJLeH6P6wlzN1yduLzl0bJzM4dOfh/w9ghKH/HaF6a5oy/saXfb10v/kJo1f7OLpl9nD/TSESuw9Q+4c9tB4b5Ll3knxx/DCZwmqO7k3eMcovSZIkSbpTQEI7hJ4to6qwl95zWfZXlFMEDJ/vJV9YTVl8/ogXLqunvuzh9XOG4s0c+iDG2MoIkVtPFXZReayG9Mlm2s6Vz70g3OetxHd137G5+fk4zbc+LdXr1EIkavaT/LCZ5ro9jO6tJVnwDecG2jn95VTULym53efiykMMxMYoWhOh6OYDiLpKWuvSdB9sY6jsEOXzPVEpTFD/Vi1Duw/y64PlDJ2F6mMNJO9xqr0kSZIkPaqCMT0eIJQgVRe+PUX+2ggXP84T+lkZTwd1WHZFiKI10wM7QIjYjj1UAoNfjc59XnGM9K70rb/qjWEgTHJ7etr22PyvUwvd5QsJP8aCVfbhFEdOHKB67Z/pPbiPPUcG+ev6Fj48Ug2z69dDRYTXTgvsAIUxdu6uBAYZ/veFuzI1Tb6EwYFBcFq8JEmSJN2TwIy0A0RLqwh3tE1Nkf+HDKdzIao2Pr3gVOrhY3HSJ+fbm+TA74+SWrUEnV1IUclU4M7lGCd258rya8qp311+6+P4wAi956H8n+sX1dfV4bu8SX5t8V3fnx56PEVjZ4rGadtG32sFYqz9z3fvQ1HJVAu5b8dhwbXzrzIxfqPC/vIYY9dYmpIBSZIkSfoeClRo56kkVeE22s5l2fzT0+QKq6lcYGo8QOSFdtrXz7e3gNX3/Bq3xRs+WcPhCykOHa8mMn1H/sYib+Hv9iq4+RSHI0A3o/8BTA/51/7M6KfAy/fR7rURzvWMQMUrJG7NHBimu+4wmRcO0b59xh2Sn5yqqw//ZOGWJj4+TNPZEqp3bSDbeZjDHyUWqIOXJEmSJE0XnOnxAEQpq4nC2VYOf5AjXLeZ2F1GZYseT5BYP99fjPASzsaO/GQ1Ixe66b84c2G4ifNnOE2I1LrIPGd+R7Ek1YXQ+3Fmxgru+Qvn6AUqY0/e2/WujZN5p4m2XIT6dOW0Rf8ilIRHyPb0k52xGv4En3x0GgpTxB5f4LqXB2k6OAibGtizu4HGl0vI/Oow/bkFzpEkSZIk3RKw0A6R0hQxcuRyYapKo8vdnRvyZN8pI75xH4PTXiFXVLGThifG6H5tB00nB8leyNB/bA9b3hiEjfvZuXG+FdpmKSwh+lTJzLrxhYQS1P4iCX2vs+PNbgYvZBk82cSON3rJr2tkZ9ntdnMf7KE0vo22L2etOJ/PMXy+n+53mkhv2sS+98YoP3iU9BPTDyqiMt1A9Eo3+3Y10X02S/Z8P62vbqHxLCR/sXP+RegYZ/Dtg2RI8ta+cooIkdi9n2oyHP5VP7lri7xXSZIkSXqEBWt6PMCa50iVtjB8qYrkU8vdmdsKCueoEl8RpfbUh0RPHKblZBN7rkBoVZQNu9vZvyNB8SJDeHHFAXoq7q0/4S1H6Cloo/3f3qXp1QlYGaF86yEO7aokMq3dgoJ5phpcyfLua81kV0XZUNFIe7qaxFz19E/U0tMXpetIC+++uYcJQhQ/sYH64/tJr59/anxu4CAHz+dJvrmfypvXLUyy840kp99ymrwkSZIkLcYPrl+/fn25OzHDtRG6Xqzh9Is9DOwIyki7JEmSJEkPX+Cmx+c/O8PpXIzaCgO7JEmSJOnRFpjp8blzbZz+LEfm9CBjm1rYvGa5eyRJkiRJ0vIKTGgfG+mm67cFxLYeoGdvOYtcwk2SJEmSpO+t4NW0S5IkSZIkIIA17ZIkSZIkaYqhXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZICytAuSZIkSVJAGdolSZIkSQooQ7skSZIkSQFlaJckSZIkKaAM7ZIkSZIkBZShXZIkSZKkgDK0S5IkSZIUUIZ2SZIkSZIC6v8DJqu9l1Q3KqoAAAAASUVORK5CYII=)"
      ],
      "metadata": {
        "id": "ScSI5TRkX76j"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "X = np.array([2,4,6,8]).reshape(-1,1)\n",
        "y = np.array([3,7,5,10])\n",
        "from sklearn.linear_model import LinearRegression\n",
        "lr = LinearRegression()\n",
        "lr.fit(X,y)\n",
        "print(lr.intercept_)\n",
        "print(lr.coef_)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "HcqIWtn6X8X-",
        "outputId": "c81ccba7-a3a8-4746-a00b-1ca0a8f47595"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1.5\n",
            "[0.95]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "-----------"
      ],
      "metadata": {
        "id": "m2M3dj-inQ8m"
      }
    }
  ]
}