Project_Customer_Segmentation_in_Marketing.ipynb

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      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "import matplotlib.pyplot as plt\n",
        "sns.set()\n",
        "\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.cluster import KMeans\n",
        "from sklearn.cluster import AgglomerativeClustering\n",
        "from scipy.cluster.hierarchy import dendrogram, linkage"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Data Loading and Exploration"
      ],
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      }
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    {
      "cell_type": "code",
      "source": [
        "# Load the dataset\n",
        "df = pd.read_csv('customer_segmentation_data.csv')\n",
        "\n",
        "# Display the first few rows of the dataset\n",
        "print(df.head())"
      ],
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        "outputId": "c90a54f8-a67d-460c-f609-a247903bd687"
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      "execution_count": 127,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   minutes_watched     CLV  region  channel\n",
            "0           3197.0  205.42       2        4\n",
            "1             63.0  149.99       0        1\n",
            "2            605.0  119.00       2        2\n",
            "3             20.0  240.00       2        4\n",
            "4            245.0  184.36       1        4\n"
          ]
        }
      ]
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      "source": [
        "# Descriptive statistics of the dataset\n",
        "df.describe()"
      ],
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      "execution_count": 128,
      "outputs": [
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          "data": {
            "text/plain": [
              "       minutes_watched          CLV       region      channel\n",
              "count      3725.000000  3834.000000  3834.000000  3834.000000\n",
              "mean       1972.094497   118.383920     1.167188     3.870370\n",
              "std        7401.693028    70.471274     0.923055     2.191972\n",
              "min           0.000000     0.000000     0.000000     1.000000\n",
              "25%         159.000000    62.580000     0.000000     2.000000\n",
              "50%         512.000000   119.000000     2.000000     3.000000\n",
              "75%        1521.000000   149.990000     2.000000     6.000000\n",
              "max      288508.000000   626.400000     2.000000     8.000000"
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              "      <th>mean</th>\n",
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              "      <td>118.383920</td>\n",
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              "      <td>3.870370</td>\n",
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              "      <td>1521.000000</td>\n",
              "      <td>149.990000</td>\n",
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              "      <td>6.000000</td>\n",
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              "      <td>626.400000</td>\n",
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          "metadata": {},
          "execution_count": 128
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      "cell_type": "code",
      "source": [
        "# Display basic information about the dataset\n",
        "print(df.info())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IfqWlfOAR7Yl",
        "outputId": "55f33c6f-a8d1-4200-ac37-221da1b9fab2"
      },
      "execution_count": 129,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 3834 entries, 0 to 3833\n",
            "Data columns (total 4 columns):\n",
            " #   Column           Non-Null Count  Dtype  \n",
            "---  ------           --------------  -----  \n",
            " 0   minutes_watched  3725 non-null   float64\n",
            " 1   CLV              3834 non-null   float64\n",
            " 2   region           3834 non-null   int64  \n",
            " 3   channel          3834 non-null   int64  \n",
            "dtypes: float64(2), int64(2)\n",
            "memory usage: 119.9 KB\n",
            "None\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Count of null values\n",
        "df.isnull().sum()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "aaBiGeH2oXdD",
        "outputId": "514ead8b-7165-4cc6-e132-fd098299d005"
      },
      "execution_count": 130,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "minutes_watched    109\n",
              "CLV                  0\n",
              "region               0\n",
              "channel              0\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 130
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The column 'minutes_watched' has null values that correspond to people who've entered the program, but have not seen any content. That's why it's most appropriate, instead of removing them from the dataset, to fill those missing values with zeroes instead."
      ],
      "metadata": {
        "id": "ufSJQOwrR9je"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Data Cleaning and Preprocessing"
      ],
      "metadata": {
        "id": "t9FzCGe2SSLb"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Fill missing values in 'minutes watched' with zeros\n",
        "df['minutes_watched'].fillna(0, inplace=True)\n",
        "\n",
        "# Check for any remaining missing values\n",
        "print(df.isnull().sum())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "GkFqKj2ySTcM",
        "outputId": "f298f51b-cd16-47c8-c526-f5f90bcfd98d"
      },
      "execution_count": 131,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "minutes_watched    0\n",
            "CLV                0\n",
            "region             0\n",
            "channel            0\n",
            "dtype: int64\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        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vEVjyFw/r76lUvVxTIfUY66ibfnIsZRJI28d41RdTXQ9v9ZEXW2us49Rb22dWSknys5Ki2ZkW+0zWWHnapyoEd0f3Vst1dCJsWNZGTvbbvi9rDLaM50te7Sho++nx9oPiirTniLtp9DMo325ul1mnPTk7jOJdpirRD9RmQdyPC/kkHOCqGh/tM+x6tjHsZy2t9f2SrZhKf28Z9e288q5zHlZ4b6zZBsq3TcXkRNT3nYPjele+/IifUbK8fJeYi7Tvx07rgfSxx77minTU+und6R56HmZlNMPF4jhkfWfRxqMaOvMsnUZDv3Mexk/rZf83pUG4c7t3mq5NV0la6Qw43uZ290nxgjjVN1mOAVIkZ9USaY1ld1MuRBJKrLNu/hemXiLpp2YLuxeTyLT5XPqu0x9HF3JetylaFs+eixl0shbx59WOegMIo8flKy3re/508u2TpTNuprRqZDzqez1oIKpenOzbfd6ooV1FrzNOm9ZGXltNyqtjAqmk7fvFG1DR9lv7mg/KLXtjPzktp+2zhoDXa376Vstw/i31nN1u8x6lGihQZjI/EqDtMGl1Jij5VW03ahkP1GFB3I8L6r0OcE2OzzYx6bI5pXHsY5jZdtecntHaMOFz3si287Ld+nzsoL7Uuk2tMe+uq/cmPY5L9o3pvvqy4vuB0XOKTJizj3XvItY77IsH0gfe+xrpjxPop+OKtkfFpXZDxeM4ZH1n0ebGdEez9QYmP40j85SwzfJZ1vC7znqToLvXUpWOARj9PVmuFQn/C30lys1muGdL79SOrWe5nnfa481awxkhss60izyjE1mjNH0Y9Ea6t/MpE6QnjlR1/F/yieeVnw7OYWUG1+h70VjLZpemXiLxqC2zodaTxN6qa6sIvWdVx95MuuqnFL1uDPGgm35DmIpk0beOsZpV001Y48flKq39lhOd7JpT7VL1Z1gBDfayRp93cwam2lnnaWGTvjzWf7+GG7bnHTlrJ/Dy1tWTl7bjUoro2Lp5Ow7eW0onnjhPiA/r0feD/bYTwu1p7z2E6Sx6adXugjj31rvpfQm6+fYmrJ0Wahd55VXbNm0nv0cZdE63uUOftv9QRzPizrgnCDJ0nTrWL+rPEr1h1vKtr3kd4/Rhoue90TSzyvnsudlKtgHH9CGivbxe9sRU/55UZE8H/k8IqsPOXY/riLnFFkx559r7qN4/7ZnWd5BeT2ua6a8snkK/XRcqf6wcNll9MOJ9Z9K/1nzPM8rvzoAHG7e60ljfrMb92WuXmKA4yjckVrmShf8Hj0yHavt3VEbxrPAMRjAfTniOyMAoAxXt/VDHqkAHgpXo1Y4C2P7zg0APDwcgwHcH2ZGAAAAAACASjEzAgAAAAAAVIrBCAAAAAAAUCkGIwAAAAAAQKUYjAAAAAAAAJV63IMRd/D76uHb0HvJRO9kW0VDOnDbWetHP686f/dZnqk2b8FvjdzIx/dYRkU8xJgAAAAAYIdf3XcABzH6uuG3QB6nh1Z37rUmC0szj5/hAwAAAIC7tj0zwh2pVdv8Tvp6hoA7Uqs10qiXskySNFdvvV7kTm3OevPedvquXI1aLY1GvfX3WyNXmif+Xsca2VbkO7Wtu8UZ8SWXta602iqUuXrmQAvZ6qzXzUsvmm5Po1Er+F5L65vu7kitVk+9VnT9tDT33XZ0WUsjN239rHSl6b71Wza/Yd2t6z0U1L+r7LaYms+s9pQWY14ZR2K+kzJKj32rLRdq2/u0jT32q7x00tpt7n4HAAAAANsSgxFz9cyJuo4nz/PkOUMtO5GLi8VAk7rjL5tZsi83F3vzXkfLYbhM6kQvBDPWa59ZWt4G33JWUvdUhr+CBquzdQwamKpNo39fpVzwzNXrSDPPj90ZLtWJXClG48tb5l1I9iKZdltjZ6imNnfOc/MbY2sw6crxPHmzhgZmtDxt6cKTl5tm/rbjeXE1anWkWVB/s4YGL291nlg/K0+SrWWB+k2WX9n8SpKMU3U10fV60OJaE3V1auS1xbR8jmRmtqeN3WV8o/56pbsoo/TY09vOOuqMtr1vuyy+X+XmJVaP+fsdAAAAAKRJDEa0NY5ejBknasSWW7oIF5p1NRcrOZKkuaZ2ZFn7TNYicoGZtV77TI3JtVxJ8+lS3dNww00Nz4PLVeNU3Wb07xM1tNRt6tXb5nOjfyNvHF7yzjW1m+v0jf6FLHu6vpMcj/1cw2ZekRXJb5x10fcvitvnGjajsVs6W1+VF00zJy/BowbrNNtjeTf9rQvybHn1m1V+ZfMbMnTalSZBRt3rSTCIkNMWs/KZ2Z5C+9VbRu4OK6PSdZTVtvfJX9H9aldekvVYJDYAAAAA2Eh9geV8PQ29I7tIKu6tlrEPTNV3XtAH39NE1+5c02VXW9eOe2lr7HQ1MWvbjwhIkhYamNF8BRdQW7EbOomPwGzbK79N1c1o2gutnEPTzMiLJDXrMrNWO0jONmMK5jfC8Ecj5MqVPxaxaQiZbTE1nzvaU+l2WlTBMtq7jna17cBR81e0vgvGBgAAAAAR249p1Gqanm2mxhe6ltmaQeFotfWoQ+qKOu1Kq6uplilT6vdm9HXjZU1/t9ZTyf1/wV33rdhd3S6Vr3R+Xd0uoxfrZdPMyIskre/UH1vONjPl5DcqfFRjHj6iIe1si6n53NGeStdbUQXLqEwd5bbt8DvHzN8e9V0kNgAAAACIiA9GuLda5kzBztbWmWXrMrwlOp/Kbhab6WCcdrW006bU72neUy3zvQ3J+KLfTS670mDnBdw++V1ocBW+sfNKA2V9r2iaOXkxTtVt2ppGX+J4lBcK5pVfUtH8RvmDCIPOYPOeh7y2mJPP/PZUvp3uVrCMsmJPPH7kXk+0boa55Z0XQ9n87VHfhWMDAAAAgI34T3safb0ZtmTWav7fTUtWM5hmv+Pudns807RmqjaQ/LuqBd9VYJyq21zp5NALwvZYs2lNph/AVgzx+JoaOuPIMke3rWBZ05KVNh3EOFW3OVCnJv9lgYXz25SlS9Vqna3tbmchI83cbUfTNNS/mfm/gqBw2Y3ahqvb6PppeXLqO4o3u/zK5jfKOO2qOYg8opHXFo2MfK7zlN2e9m6nRy+j7NjN4aVMs6aBpOZwKCv8XZe8tl26XeYrXN95sbkjtcyVLvi5VAAAAAAJNc/zvHuNwB2pdXWimyf50ru5erVL1Z0ijzQ8BQ8gv0+6PQEAAADA0/Cr3V+5O+6oJXMgDZ2b+wwDTwTtCQAAAAAeh/ufGQEAAAAAAJ6V1J/2BAAAAAAAuCsMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAEAAAAAACoFIMRAAAAAACgUgxGAAAAAACASjEYAQAAAAAAKsVgBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAEAAAAAACoFIMRAAAAAACgUgxGAAAAAACASjEYAQAAAAAAKsVgBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAEAAAAAACoFIMRAAAAAACgUgxGAAAAAACASjEYAQAAAAAAKsVgBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEpFBiN+0eiTz1R7YWse+8qP6r34TLVPvpO7b+rf26q9+Ey974t9r2X/Uj6Np+rtd2q9+Ey16L9PbM3fFlvd/f479ewf995s2fUerLRyfPGFemltDtkObI9Hs0e/EGvLz70/AQAAAB6IyGDEOzr95H1JP2gaPVH//q+yJTU/+a2MfVP/2JL39iuNPz44zmev+eq1vLdfyXv7WkP9oM5HyUGjND/q6vNvZDv7bq3seg/fphy/0uxTyX79XxpVfSH9BJRrj0dUuG9JtGX6JAAAAOBBiD2mYfzLP6spyf7vzR1x9+//kPS+uv/yjv+3bUfujEbvLIczKL4Iltua2/G7kNnrBpw/r5enzpKQpLffqffJ5o7s87uQfEf9wYeKDhqll+svGn3yJ9mS9PWf1jNbdtbB1nq2X97rmTF+PbfsXzYzWs7t9Hp74HXV/tf3JP2k1f/5f2eWTTAboHUelEWi3Fz7i3UeW8nZRQ+8DA633R7z8rxVxtGBz+h6+/Qtme0wZR9IzozIinVHnQMAAAA4TPydES9+q25D0td/DS6mftH1tz9JjX/W6QtJb7/Ty9f/UPcv4Z3ln2S//nP8jujyPV28/UreW0vtX0c+L7Du4m/v6s3br+S8el+L16+2p1K//U6tj77R8pPX8t6+1uw3P2hQ9R3Zh+Cf3lVT0vLvv+SU6zvqf/tHWZL06R/lffs7GUXqb2s9S+efvC8tf5YjrWfKNH79znqN1Hp7BHU1/+8fJL2v+j+pcPs8//a1ho3Isrff6eXrn/yZAt/+Vo1lZIVHUAZHkWiPmXl++51evv7Bb1dhGX8elseP6n30jezf/FHO26/kfPme7GQfkNW3BLbbYco+EFsjsc1P/qHBR1/EBk9S6xwAAADAwRIvsEw8qvH2r5osI49ovPidbt7+QSf/8516n3yhzteS9A/dRu/2fvpbtdO2VGDdcDvhDI3l3+N3It3/+V8t1rM03lH7XxN3ZJ+LF++qIWnh/FysTtbr7fHdCL8+/HL2Z8p8qLPINPe0enuodbV4/Wr9roPO397X8Ms/qP9Ce7TPd3Tym81n8Xx+oLNPs5Y9nDI4ukh7LJLnxddTtc5/lPmHYGBBWg9yWf/6gd+W0h6nyOpbArv6jyTXnsrW+xr+4YPIej9p8j+b9dLqHAAAAMDhtn5NI/uCUsHU5VfqfPuz6oM/aPZpcu0cBdZd322PXmxv+UmDj4Jp1Z//IGn3RceT8/ZnLSU1zXf3q5Oy9RfMmLH/+0c5zk9bF4XZ9fbw6sp/10Fwt3z5nk4+PkLbjjDN9xOfPLwyOLpoe5SUmecXv9PFq/cl/aTF13+S+dFnap0Hjw/9/R8Hh1Gs/8hRdj0AAAAAe9v+ac/gwnPx7Z91FX1EQ5s7vcP/tNQPL+L0nk5e7N5QkXXXF2lbFzdR72sYTKUP/91Y76R87+lr/PqdveqkfP0FM2a+nuryb9v1kl1vD7WuPtD4S/+Ofefcfz/KIW07ynF+SnzyUMvg+DaP7mTnuW39h7y3r+V8+XtZDWnx9Te6+l4yfv3ewdsv1n/kKLseAAAAgL1tD0aEF57LH2Qv035FI3jh39sfNS04zb/ouotv/+rfJU3OyAgkp1H7Lw784gm+FDDPL5r/1zdaxB6V2KdOytWff7H4kxbL7XpJq7cHX1cf/5uGDUlfTyMx7V828XyG66Ute4BlcBTx9pib5/VP+ErGx7/T+ScfbpL5+Ley5M++caXNCyT3eGnkrv4jKYx18F8/7rUeAAAAgMOlDEZsHtVQ4sTcsP6gYUOyP/9MtY+m0qf+lOvw1wjyFFm3+Zuf9fLFZzJf/6Tmq+BZ/qgXv9PNlx9KwXP/5mvJ+vI/tr/3BG3edfBKnb99qNlf/Gft88v1A52/et//JYEXtpzC9Rdfby6tLxajM2VCzd/8rKtPgvp4FXkHw4Ouq/BXIPyL0dJt+8Xv9CZ4YWLtk79Kn8aXPewyKC+rPebm+WNLTmzZP2S9eh28F+IDjf/ye1l/+5PMF5+p9tE30qd/3GsWSWo7TGvLoRe/001km+a372n4l6dRPwAAAMBDV/M8z7vvIPAY/Kjeiz/J/vSP8q4+8D/63lbt8x/UfPX6yT56sFOsDKTR+SsN/vZ7OVu/3IA7QzsEAAAAHp1f3XcAePhc+wuZr3+SGh9qFg5EwPexpdmn/1Dn9SvVXktqfKjhfzIQAQAAAAB5mBkBAAAAAAAq9StJqr347L7jAAAAAHby3n513yEAAI4g9QWWAAAAAAAAd4XHNAAAAAAAQKWYGeW3XSkAACAASURBVAEAAAAAACrFYAQAAAAAAKhU+cGIeU+1Wk29+WEBuPOReqMDE7kDheNyR2rVamqN3IO2N+/VVKv19PBKIsEdqXVInIeuf9fbva/4HgVXo1ZNtVrKv9ZI7iMqu3nv8L6ruE25le4njlG2D7F+Ssfkl+lBdZi17YdYTlFF4jtaHkqUc2Xl52rUamnnLnVffX80vYfepgAAuCe/Kr1meyzPGx+4+bmuOgPZ1kyHpnRcDzWuB8Do64a3jDxThvo3nvqSf3JtrnThjdUOF7uj+wvtIXOvNVlYmkXLal/sd3gsKmurhvo3NwW+VjAe9jEAACoXnxkRzHZo9XrqhXfyeiPNRz21ajXVai31wtsQ0ZkR4eyA9Xrb3wvvCG5mALgatTqyJcnu+HdW5acVbrvW6sXuerjrOIJtpNxmiM8wCO9Ibu6e+Mv9v7fSG7nBOjviiuYvNLnaLqOd+WmtP59m1ZA7Uqs10qi3uQu9znfybkvs7+Cu0ai3Xq81ctf1sX2Xdq7euiwSabbCeu1pvnWHJ7pe5C5V0Ca2Yn4IMst0rp450EK2Ous8ZpRLclmrp17sLl3B8qwmx5WaprVVSfllGaisvUua9vaLc2fdpa0XbVPJu7h7xJy8y7p3Ge3ZtiMx5LbTovt5anqJmHLrNxFv60qrnWWfV1Zp5RGX2Y7z8ryz3BIzDdyRWtF2Me/Fjjnb29lVj/E2Vm5fzCvnAnkt2lZzYy/QV2zNjMhpA/vuO/vEvdX3B8tT2tdBfaPm6tV6GoXnDcnj7VbfVOLYlZZOZnsv0ecCAJCQ+pjGYlnX+Y0nZ9jUwh6oszrTG8/TzFrIHlxlnpj66zkaNvO/5zPUv5nJkiRrJu+mL8MdqWUOtOw68jxHs4atgbk5IL4c2P53w1g62wft9pklaalbV8EdSUlaaHLtDzTcLiU1uzrVSC8HS3Udb5Pe4ErztLiCEwu7MZPjeXJmDdkDM3YysVBdb7xE3nfmZ6Hm0JF3cyZ/9COrYAea1B15nidvZsm+DE5Wd1posDrz13OG0sBUbRr9e1NH815Hy6G/DWe4VCeWOVu68ORt3dn1B24084LYGhq8HMnVXD1zsi5bzxlqmVJX9yq1TNsaO0M1tbmLnVcu0WXehWQvlLqseHk+BbaWGW01t0yiKmjvkmQv63JS2mfZuou1h5nUaSXb1I36xmExly+jfdr2XL2ONPO8HXVVdD/PSm87pjzl97di+3pcVjvOy3ORcjN02m1qeeun5l5PtNBCK8df6t4u1eyeBsectO0k487qg/PyUL5f212nKTLbanbshfuKaESp+98+8RT/3u4ySmtfR+gbZWsw6fr91qyxOZ+QtvqmvPLIjT+Wzq59vGT/BQBAIHUwwj8ZkoyThiTJOmvLkGTWm1pf6GeuZyhYbW/+iVlT3VNDkhEMLNiaxq4FLtXqzWWeZ1zMmXU1w8EHZ6XwGLtYOevBiWb3VIbR1433RifXI/VaLXVsZedtPpUdKQejPZbneRpHNp6W97z8xJe1dWbllYyli/AqxqyruVjJ2VGWQVQangdBGqfqNqN/n6ixzu9cUzuMRTL6F7LsaeQkwtJZ2pVCMP18vaw9DgZv2hpHL7yME5VsEneoSJnmlctcUzuSRvtcw2aR9fxtp5bnk5BVrrvKpEgauxRt78FWLvoy/GB0YYX9TNm6S7aHM1mLia53jqLsF3Mk+pJlFI03L5+b7Rr9G3njtEzvs58XSW9XvOX3t/3LKmudXXnenU/jtCtNruVKclbScGjJns4lubqeaH1MKFS2mX1wXh7K9mtJRes0I47M2PfpK0L77H9F20Ne+RUto6LpFc/vut9qn2vYjPYP0b4przx2xR9NZ1c7LNt/AQDge4C/prHQwAymBPojBP5dJKOvi2FT0kILuyPT9B8h2TrOGafqNv3Bh/nUlmRpOGxK9lSj6ACAO1KrZqozWal+8UaznMEA93Z5/Pwk+AM99ykSZ60ju+hJRLMuM2PRvBdN77HKKBf3VsucvJcuzyftIZVJU/XMyisRp3ureC9h6t536Z2y8tnW2Olqsl6W/5LA3fv5fuml2irf5KB3tW0rPc8F82mcqLFYydFcU7uhk9O6mvZUczlaLRo6MXZtJyG3H8qS06/Fg824uXCEOs2Nfc/6rHL/29n3l1E0v9F+y9BJYzOrZivG2AeR8igR/9M4lgMAHqIHOBjR1DCcEhj8uwmG5dv9G3meI2c2lNWUFvZAV1u3D/xpsLI7/mwH60z9066asjUYLPxHNIzNzIThm7H67fDsL34iuE6x7FSPHfmJclapc2ErZK2n3Pr/0qaUp8iYUdCr1TQ920ztfPDXZZkyymV9QbHnes/aQyqT6El88PjWWok4t+4YOrr3XXqnnHwafd2En8em/kftsZ8XSi/HVvkeoc5K2ZHnQvls68yyNR3dammdqW2cqttc6nY0lW2dBbP99ijbvWfFSLn9Wux7yXLeN6875MxK2Ks+q9z/dvb9ZZRpv65ulxmDqnnlsVf8T+lYDgB4iO5+MMKsRw5ec01zhtWN0+7mEQuFL3gM7risX4QpGe2+zrvZUxn8dHzWWTt2YA4fQfEFFyRuGFfG3Yj2mSxJ9nQee7HYrpcz5eUnviy/XLI3EJ8G6Q+wlOGfHF9GXzqa9bxtbPun6jYjj9GELwBzb7Xcms7+GGcG5JVLctmVBosi6z1XRyiTo7V3nx023Nh08bJxJtebyg4GPitVuIxy8lk0z0X388L9SV7sD2R/y8vzHtttn1myBwP5V5KGTrvSYGD7x6td24nK6oPzt16yX4s4Rhlnxl6mPqvc/wqWUen08vK70CC8AzO/0kBZecwrjz3ifzLHcgDAQ3X3gxFGXxdWU4uBqVprKsXGENo6H/qzGGq1nuZGXzczy38JUq0mcyBZs+AOQXssJ7ZsKWvoKPUx1fXgQ3jXYPNOhsZJ+FzmG/mbrqlmXkqW/wiIf7c0EVfwMipr2ZFZq6nmB5Y6wyGZ98z8GH29GWaVS1FtnQ+1nt75Ut1yyUhqj2dqBHHWOksN3/S1+zzOf9mnOsEUTnOirjNW2+jrzXCpTvgG7pcrNZoZ00kfmuAEOXwDel65xJZN67HnbsuV59N2eJkcr71LkqVpvN0eGGd8PWl2cx91nlNGRdt2e6xZY+D3dXl5Kbqf56UXiym/fttjR91JEG/YZa+XlaizRHkUkpfnouUmBYP0kfcEnDQUe1Y/bzuxuDP64B3ZyO/Xsss5kkDxvGYXZmbsZeqzyv0vr+9f26N9Fc9vU5YuC5VLXnkUil8qvo8DAFBSzfM8flkbOJQ7Ustc6eJJ/kIGADw0c/Vql6o79/wIXGV9/x3ll2MXAOAePcB3RgCPgatRa/Pb60XvSAIADuM/8ti5n0ehHn3f/9jjBwA8JcyMAAAAAAAAlWJmBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAEAAAAAACoFIMRAAAAAACgUgxGAAAAAACASjEYAQAAAAAAKsVgBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqlTIY4Wrea6lWq/n/Wi2N5m6wbK5eraZab761zqhVU63WU3xJ8P3WSK7wJLgjtbbqucL173q79xXfoxDu5yn/WiO5xyy7eW87/YPDf0B1mxdLbNmmzFujnBKIrnOn+fTj2T4EjNTaVUcPqfyT8tpbZtwHlEWWh1BGx25Lx+57H0IZ7atUzAX3fRxH6XaV0Q9ImvfSP98rlrJxVbWfPMb9EcCDkhiMcDVqmeosu5o5njzP0awrDTovlX8sNHTabUqyNY32SPOpbEnN7qmMo4eOe2H0deON1b7vOHAPDPVvPHmeJ88ZqilLMy/4+6Z/tH3cHbVU62iTtudp1hjIfC6DmtF9zL3WZOGX802/YAnf6T7q9/XL23hNuNcT6ZH28+Xb29MrCzwgZfZ9AAAemfhgxPxKg4VkXfTVNiTJULt/I8+70a5joXHaVVOSHRmNcG+XkprqnnIgLS24yzbqbe7arUfakyPSW3dUWxqNNnf8WiM3dgcwfrclmMVSS8xwcUdqtXrqhTNftkbBo+u1NoNW7kitWkrMD0Fmmc7VMwdayFZnnceMckkua/XUa0XyX7Q8q8lxpaZpbVVSflluvnM1kIZO/GK6PXY01EBXc+1o90rc5Y7UY+G6vaN9p2gBrvMTjTlsW2nbSuTtLvqBCOO0K02uIxfqrvzrbyMS/459f1cdFmorSWXqoUB7y7GzLDJDTWujG/vtQ4k7s+5IrWhfPO9tZnrs2G76fnLIPl10v0v5XpljSOY6R9yns/7e67iyqwzT9v3INrfac0oaWzN0gjLI7Efy8rAj73lllpffvY6bGXHtXC9RVqlt5JBj/5VWmXmVNO1txRybMbFVT3vug4Xzk1VeQfk/9eMqgAcrNhgRDh7UzRIpGafyJ0dM1ydI15OF1OyKsYgDLQaa1B3/rt3Mkn1Z9A7xQoPV2fpOtgamatPo31frjnze62g59LfhDJfqRI92C1u68ORt3W11NWp1pFlwR3HW0ODlSK7m6pkTdZ3NXfRl54EdNFLLtK3x+o6/n9e8coku8y4ke6HUZcXL8ymwtcxoq7llEppPZaf2Gf6sjPHOApurF7nLvdlOft16M6kTOyG8632niGjM/oBw+ra28xZ3pLyEjFN1NdH1euDxWhOFdXacfb9QHDnrbNVnVj0c2t5yyyIz0ow2Giq2D23yGJ+h4V5PtNBCKycI6XYZzE7ctV0pvS0dsk8X3e+S3yvTjnatU24/2O4bchQ8rsSi3lkeKTeDEu05tR5y2mZ+n1XufKPoPlv+uJkdV/E+OKuNHO/Yn2Qv63IS7bF9Zm1mVDmrxEyqffbB4vnZyDpvy/OUjqsAHprYYISzWkhq6KTU4EHiUQ33Wv5YBNNVD2fpIjwbMetqLlZyCq3X1PA86KqNU3Wb0b9P1NBSt8Fdkqm9mcFi9C9krQeV/O2fpfX4wTTS9bL2OJiu39Y4egJlnKixT3YrUaRM88plrqkdSaN9rmGzyHr+tlPL80nIKtddZRLRODmwzwjbtWT0b+SlXlEm6+9M1iJy4n7X+04pe5RhzLHyEjLkTwjYXPxuTqaPse+Xyeeu+syph4PaW15Z5Mlro3n7UHoeozM0nJU0HFrBLMXkTI0i+0bSEfbptV31FCrTjnats89+UCTGNPseq8tuK9qes+ohq23u7rP2P98o2hYOO26Wa4fRsirarsoe+7dZF8EjjEZfF1Zwftw+UyPYX+fTZYHZw1l5L7GfZJ637fJUj6sA7ltsMMKsNxXtcPYVPqqxvHWDuzM8ovF4LDQwwylxHdlF20GzrqyJNPNeNL3HKqNc3Fstc/JeujyftAJlYtbVXN4e8G6ItsZOVxMzMQU1yb3VMr5h1XNOKPNVWdd3va1i6W8uftMfSzh8398zn2Xr8+D2trssthVso0l5eTRO1Fis5Giuqd3QyWldTXuquRytFuENhpLbzXW39VSmHR3c9o7aN1S1rfR6yG6bd9GPFEjzzo6b+61XrI3kHPtj3zN0kjkCkDXT2FRdE127c02Xh88e3rvN59ZBmqd+XAVwn2KDEcZJQ4pM79xb8KjGYnKlKx7ReGSs2AvcirwnRJKUMaOgV6tpehZ92eFjlVEu65P/Pdd71gqUiXGiRuqdwew3lm8x+rrxdkxB3bqD5GiVM9U2X5V1fdfbKpi+caquVnK2Hks41r6/Zz7L1udR2ltWWeStU6CNpsUa+yCax7bOLFvT0a2W1pnaxqm6zaVuR1PZ1tlmKnOZ7ea6q3oq046O1PaO2jdUta2s41TwqMY82Tbvoh8p2r/fxXGz6Hr7tJGcY3/se65ul+kpxM+no9/zZ62srqZaHjR7uGSbLzy7NuJJH1cB3Kf4CyyD6Wb25Uj+r3m6mo9axV8eFT6qsbBl84jG3YtNawufFS7DP5G9DIe6oy88y93+qbrNyC+ohC88cm+13JpG9xhHtfPKJbnMf/nr7vWeq6Jl0tb5UBqY8efD5z1TAw113lZ+uy9c1sl4st4dcKx8HcNdb2uf9A2ddpeaXiWedy667+f2XWXyWbY+C7S3nTLKIkvpesvPY/vMkj0YyL8V61/sDAa2rLAy7rW9FMvDWpljyNGOOzkxHu2YW2BbpdOI1kPQDjqD2KNU5Y73x9hn7+K4ucd6hdtI2WP/tvVL3ROPRxinXS3tIo9o5CjT5rPO257tcRXAfUv8tKeh/o2jYWOijllTrWaqM5GGMyf+Ii+7E3mrbvwNuOGjGvyKRhXCE2m/Hl6qK6tsSuOZGgPTr9POUsM3RZ4hNNS/mUmdoC2YE3WdsdpGX2+GS3XCNvJypUbzgBk3VQoO1OGbofPKJbZsWo89N1quPJ+2omVi9G/8F19F+pjOcihn/VxrTrtvj/2fZQzX7UizcL3cuo18747ytc2O5bFWq6m2Y9Q3c1uJvJW1T15ST6YL7/v5fVdmHDm/aV+2Pne3N2lXXaWWRVaseW10h9w8mnU1I8ddf6Zj/NnwQtvdoy0Vai9F97vo98ocQ4543Mku55LH3JwyPUY/lFcP/jlZ/HysXJ9Vcp/Ni/VIx83C6+W1kb2O/Y66k2DZpWTlvTNC0/j50TqWU3WbGe9oK7oP7pGfyErp521P5rgK4LGpeZ7n3XcQwKPnjtQyV7rg7c7AnZr3etL4cexnjylWoHLP+bjpjtS6OtFNoZfIAsDT9f92fwXANv+Z8vVd0uRdDwB3wNVt/eyR7GePKVagChw3Jckdtfy8F3sODACeNGZGAAAAAACASjEzAgAAAAAAVIrBCAAAAAAAUCkGIwAAAAAAQKUYjAAAAAAAAJViMAIAAAAAAFSKwQgAAAAAAFApBiMAAAAAAEClGIwAAAAAAACVYjACAAAAAABUisEIAAAAAABQKQYjAAAAAABApRiMAAAAAAAAlWIwAgAAAAAAVIrBCAAAAAAAUCkGIwAAAAAAQKUYjAAAAAAAAJViMAIAAAAAAFSKwQgAAAAAAFApBiMAAAAAAEClGIwAAAAAAACVYjACAAAAAABUisEIAAAAAABQKQYjAAAAAABApRiMAAAAAAAAlWIwAgAAAAAAVIrBCAAAAAAAUCkGIwAAAAAAQKUYjAAAAAAAAJViMAIAAAAAAFSKwQgAAAAAAFApBiMAAAAAAEClGIwAAAAAAACVYjACAAAAAABUisEIAAAAAABQKQYjAAAAAABApRiMAAAAAAAAlYoPRrgjtWo11WL/WuqN3MO2Mu+pVqupNz8sGRTkjtSq9VRZcR+6variDdv3uiHO1QvbeWukna18nzgT+1K4yXnP36cO3aXuh6tRK9k/RMovr3zK1PGh61S9Hzwkx66LY65/3+k/hG1W2U5Lp+/v7wcdtx/1Prjp71qPs8MGAODBS50Z0Rw68jxPnudpZkn24OVhF0/tsTzP07h9QBp4uIy+bryxHnr1utcTaejIG7fln2h2pJnfzp3uRGbeWfe8p5o50KLQlubqmRN1HT9tzxlq2fEHINpjT85Qmlw/xpNbQ/2bTZ6asjQL+gnvpi8jd9USbeSRtKtH56GX60OPD8+De63Jwu/jbvq5vRsAAChp52Ma7bOGpIVWTvCBO1IvvDva6sUGKdxRa/15q1VTLbwjkpwZkZVGcDe51esFy48wK+NJiNzBj95VT737PlfPHGghW531Hano+sm7VNHZAT31WtG79hnruSO1WmEd9TTfuvu1T7z3xdFqYeksuOIxTrtq2tPUO3jzXk21zlLD2VDNIknPp7KtC63PX42+LqzIPvTETXspdZxsI0GfkN4my66T1vYz4gm/vyuG5PeK7iP7LIummdy31uWQloe5erWeRmG/mzLjplBdHGt/TYu9bBlkxpfsh0YaZdavtHV33x2pFc3jvBebFbV3W9k7z8Hyu2inqftHYlvJss0r69aVVsm496qH9Hymp1dkn3I1arU0Gm3y2Rq5sXzHZzDklNtefUlLo/k+9bxvnAAAPF87ByPmU1tSU3VT/kmHOdCy68jzHM0atgbm5oT55WDhz6q4OVMj8xayf5C3GzM5nienu9TAjJ9EL5Z1nd84GjYXsgdXj3SK57HE7+B7s4YGL0dyU+++9zRXW+P1XWv/7uK819EymO3iDJfqRM50o8u8C8mO1Fts2UzqRB9lWNjShSdv6w7mvvHeE/dWy2ZdZvi3caKGlrpNOUdsjz153o365vayVO1xMPsiNNfUDvahJ8/Wsh62GUv2ZdrjL3P1OlrPqki2yXRF1tlu+3nx5O0XsS0X3Edy963E/pOXZnzf2rXf2BpMunLCfc2ML9tdF0feXxP9Qtm+J7P8t/qhgSa5eTR02m1qGezY7vVEi8jgunu7VLN7GszqKdlW9siz7y7aadb+kbatbGXbeno95G07q93tqG8tNFidrdukBqZq0+jfm/OF7Hj37UuCvj+nng+JEwCA5yx1MGIxMNcj+J1lU8PZG/WN8ESuqe6pIclQ+8ySZGs6Ty5r68xK36A7upStpobnbRkK7khrEZu27p8cGjppHD2/j08wVTS8g6/2OJgS39bYu4ncfT9RenH5F8J+vUhG/0LWegbAXFPb0kWYSPtcw2Z0veiyM1mLiTbVFInpqPHeFVfXk4UaJ0EAzqrgIxeHb3fU6mg5fLPOu3HS0GJyvfsdFY9SpM2YdTUXK6VPCNkM/Bj9m8TgTZYy62TFk7dfRO3aR4ruW9H9Jy9NP+bNvrV7v7Eugkdk2ucaNqMDagXq4uj7azT2sn1P1O5+aFcejdOuFOxvzkoaDi3Z07n8PkHr+Mq3laJ5zi+3w9qpVG7/iCrb1vPiz5DZ7nbVt3/u4Adxqm4z+nd0QHlXvOX6kng9HyNOAACet5x3RsxkSdKioZN29HnJhQZmMDWxY0vS+q5TlFkvNKF9fZK7eC5z2MuI3sFPmK+nxnZkZyYQqbNaR3Z4IpScHRDl3moZ+8BU0So9PN5jczVqvZTeRN5bYtaLPXJxkLl6NVOTrhN/5rg9lvdGevls3+ja1tjpamKmTdE+5jq7ZOwXUXn7SF4aefvPzjS3Ze830Rk3hk4aJR4HutP9tUTfE3VIPxQyTtRYrORorqnd0MlpPXgky9Fq0dCJsTuJQm2l1HePte0j7B9bZZ28IXDkfKXV/zHqey0r3rsoq0PiBADg+cp5TKOt8cyf+RCfwtjUMJy6G/xLe7mTsyp43zk4qDefxxz2clLvMvnPq07Poi8UzBJ50aAXPHJgKHKSnmLrTqijolV6eLzHZqh/80Z6GXkWO5l391ZLFb0wKcAdqVXzpyFv7R/znmovpTfP+Y2uRl833vYU7aOvkytjv4htM2cfyUsjb//ZmWbUPvuNq9tliceB7nR/LdH3RB3SD621dWbZmo5utbTO1DZO1W0udTuayrbOCr4os0BbKfXdI2770P1jq6xd3cauuI+cr7T6P0p9h3LiPXpZHRInAADPV/47I8JpmvalRu72IxX+CytbKcvmmmbcRgu/N7iay1Xy8Q5sMU7VbfqPwkjavHDMvdVy61GJ9DtmZ5aty/DWT+yFbcllVxosstabym52tbOaDo73rsSfHffvZG3y515PtCh8YbJD8G6Vxiz9F2Tiz6k/Q4mXBt7ZOrny9ou87+XtI3n7VnT/yUszYed+4/el63RUYB+NutP9tWzfk5dGwX4omcqZJXswkD9SY+i0Kw0GtqzUZ832ycch3y0UebH0im4n8YiAf/zN2lbRtl5CVrs7Un3nxnuUvuRYcQIA8LzteIGlof6FpfUJr9HXzczyX8ZUq8kcSNYsvNPV15th03/fRGsqZbwzQkZfN85Q1rIjs1aTOWlo6Bx65+gpM9S/mUmdYEqpOVHXGatt9PVmuFQnfJv3y5UazWCKdnCiF77BvD2eqRG+B6Sz1PDN5mcYY8um9dhz2/H1pNmun28sG++98OMM82dOunLCkYOtN8xnyPheeIJvh2XwIH495AFpjzVrDGSGZVOkbRVdJ9H285PM3i8yv5e7j+TsW4l489KM52fXftOUpcudech2t/tr2b4nO42i/VCCWVczMuhtnDSU+d6bPfNR6rvHbqd5+0dsW22dD7V+fOGlurFDdXvsqDsJtnUpWQXbeqbMfGa0u63tlKzvvHjL9D870y8ZZ9FjDQAAT1TN8zzvKCnNe6p1bDWHjm760qhnarAcyil5IoF74I7UMle6KPDW9cfIHbX0Um8K/Wb8vNeTxkXePl/se2XjwANzF/tI6TTn6tUuVX8Kg7lPvO8BAADAtp0/7VlYe6yZFcyMqJkaLK0Sd+lQLVejVuTufeTu1FNknHb9WT07pyi4uq0XeWSj6Pc25j1/RhGPJT0Wd7GPPK/9Lh1lAAAA8Nwdb2YEAAAAAABAAcebGQEAAAAAAFAAgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAE8OzN1Qt/1aA1kpv3VXekVq2nrd8j2fo8kmatplraOpqrV2tplLvB5Cq9SJoF4j06/1cgdv4gS+bqRcuvwPpF19lOJD0PqekFv3rRmx+wvRKx3KkS7S5L2TI5Sj0CAAA8bgxGAM+aq1GrI808eZ4npzuRefCV4Vy92iZNz/PkDJfqJAcO5lPJamhyXeyq0B215Ce7SXfWGMisfEDiHhl93XhV/QSmq1HL1OrCkzduV7ztO7Rnu7tzT6VcAQAA9sRgBPCsOVotLJ0FV0LGaVdNe3rYXVr3Vktt0pQko38hazHR5vrP1ehyqfr5mRqT6wKDCXNdDaShE79oa48dDTXQVRiwO1IrMnOiF/28NdKol7Isb71g25uZDI4vBgAAIABJREFUI1daqeh6JeXFur6LPlfPHGghW531XfXobJTknfacPKQHsR6IGIcFnrybn1eese311GtFZyLkxZKVB1ejVkuj0WZmTGvkxmbKtApNdchod8nZCcm/YzNyIuUdrQN3pFarp14r8p0i7SN120duUwAAAA8QgxHAc+beatmsywz/Nk7U0FK3h9w0Nk7VbdqJmRBtjb0b9Y1wu9eaqKtTo62zRmQwIct8KrvZ1amRXGCofxNeMM/VMyfqOsHMCWeoZSdykbcYaFJ3/GUzS/ZlGF/+evNeR8thsN6FZC/WQeVv7xCZsYbaGjtDNWVpFtxVj8bpDJfqRK5is/OQJmUgYs8Y87ZXeNlMiTa00GB1ti5rDUzVptG/rwo85rJnu/OjUi8yI2dTttt1oIUtXXjyvLHapdrHHbYpAACAB4bBCOA5c1bKvS4txR8g8C5WMtd3eOPP6LvXE6l7KkNS+8ySPS1wudU40dZYRExiwMM4USO23NJFuNCsq7lYydm53lxTO7Je+1zDZtHtHSIr1ixzTe2musFojdG/kLWe4ZKXh6SlLlumBgsVqJOsGPO2t8+ys8RsmqaG5+spPOo2o38XG0Qr1e4kKZK20b/xH1tJFZ0RVKZ93GWbAgAAeFgYjACeM7OuzOvSQ7XH63c7eE5XEzMckHB1PVloMTD9gYqOLe16NMSsq7m8LfRuiPn60YGO7D3CTV3PvdUy9i1DJ40C692LhQZmNJbgArpAHqJpqOvI82ay7E7BRx8SkrNtksuyYtlaZqp+1MZZot1J8mdAdDUx0wfWdinTPh5OmwIAALg7DEYAz5lxokb0rrt7q6UaOsmagpB3Bzq8AJ33/F9fiK3X14W10MpRMFV+KCf6IkrLVu5NauNEjdhd8nXAkV9j8N83MD3bTHEvdi2bs97WnWlXt8sC6+XlY1f5lWbFXu7phXfYc/OwnYY/M8F/BEGDl/v/6kSyTSWXZcWytczR6pjTdsq0u5DR10243qyhwcsiL00t0x7LtmEAAIDHh8EI4FkzVW/augyuON3riRbWWc6b/ds6sxYaxB62dzV6OVhPf1f7TJbd2Xqh4dRuqm7622hc9GOPXOyeMt/W+VAamPHn5+c9UwMNdd5W6oszVeT9F7nrtXVmbcpH8ysNFkXWy87HzvIrJRlnL/Kzpzl5yGP09WaoghfeebFEt7fPsqz3hJST2+4Sg0Tu9WTz+FKsLPfZYIn2UbYNAwAAPEIMRgDPmqH+zUyNYOq6OenKyX1rodQee5qpE/l1AVOTrqOb9YPubY29mdSpRb5zqbpzo77h6nrSSFxsKRjAuNRonvhlgWik/Rv/pYaRXxroLIdyboILTKOvN8PlZvnLlRrNYDZGbhHkr9ceO+pOgqn9l5LVLLBe8hcS9iq/gsIXhQbbaY839VjrLDV8s7nwzszDzqJ5o6H2//nUWCzTeuwdFXmxxPMgzW76+w/QpJb9jnbnhoNdfp28VFfWJij/J2TD+orGlaiDmDLtsWwbBgAAeIRqnud59x0EAITmvZ40HufMzngcnko+DuaO1DJXuvCqKwvKHgAA4OFjZgSAB8TVbT3vMZHH4qnkowz/PR7rmR/mRF2nyoGB51z2AAAAjwczIwAAAAAAQKWYGQEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAAAAAAIBKMRgBAAAAAAAqxWAEAAAAAACoFIMRAHzuSK1aT/Ocr8x7NfXmsQ9Uq6V81stL5fA4DuKO1KrVVNv619LIvauNAgAAAIhiMAKAP4BgDrTY8TWz3tTydnPF7t4uZVnW1mfNunlHgR6LpZnnyYv9u1HfuO+4AAAAgOeBwQjgmZv3aqp1lhrOhmru+K5x2pUm1/KHHlxdT6T6WX3rs+5peFU/V2898yAx2yGYVRFfNlfPHGghW53oZ2lpuCO1Wj31WsHn7kit1kij3ma2Q6kJGsmZGdG/k9vMzeNcvVpPo1ErY+ZFTtkAAAAATxyDEcAz1x4HswKKTGYwTtRYrORIkhyt1NVp+1RdRT5bNHQSjEXMex0th448z5MzXKqzHh2Yq9fRenbCZllbY2eopizNvLHauWlIWtjShScv+K4WA03q/ne9mSX7cqSjP3mR2GY0Pm8mdVrRbdoaTLpyPE/erKGBuRl0yM0XAAAA8MQxGAFgD6bqzaVuXUnurZaNExkydNKwNZ0Hn1ln/sCA5prazfUsCaN/IcueRmYABOlIMvo38sbtlO3tSsPSWWw1SxfhsxZmXc31wEmSrU7ynRGtogMX0W3ONbUj22yfyVpMdB1JyLroy5Ck9rmGYdntzBcAAADwtDEYAWAPhk670sqR3OuJGsFVefvMf2+Eez2RYu+LWGhghhf8HdnrAYi2xk5XE7PIyyOz0jhEyjsjboJBg324t1rGPjBVjz3r0owUh6GTxkKr9ejIXeQLAAAAeBwYjACwF+OkIXs6l7OKjDuYdWnlyFlF3xchbV/0R14SafR1E34+a2jwMmtmQk4a9804USP2gaNV5ltAXd0uo4MTDzhfAAAAwB1jMALAftpnspaXulx2tR53ME7VXV7qcrl5X4TU1pll6zKc8jDvbR6FiP4/f2PZadwV40SNyCwF93qS8ysjyfimspuRctFCg6vg4Yv5lQYKl91DvgAAAIAHhMEIAHsyVddCi8ZJ5LEG/xGERSN8X4SvPZ6pMTD9RxE6Sw3fhO9PGGvWGMgM39fQkWbhYxLGqbrNza9pZKZxkJR3Rqx/faOt86HWj1C8VFdWTkrx+CL5kCQ1ZekyNfa7yRcAAADwONQ8z/PuOwgAeHrm6tUuVXd4/AIAAABIYmYEAAAAAACoFDMjAAAAAABApZgZAQAAAAAAKsVgBAAAAAAAqBSDEQAAAAAAoFIMRgAAAAAAgEoxGAEAAAAAACrFYAQAAAAAAKgUgxEAAAAAAKBSDEYAz507UqtWUy3415sX/+7mX095qxWPY990XI1afgytkZueVql04+a9RLnMe9tlNe+pllt4KXJj8/O2b5IAAADAY8BgBPCszdUzJ+o6njzPk+cMtey0FL2u32Zp5gXfD/45w6U6rZFyV7sL7rUmCz+em75xZ5sx600tbze5c2+Xsixr67Nm3byzGAAAAICnhMEI4DmbT2VbF1pfxxt9XVgLrZz9kjFOu2ouVtqsNlcva9ZEMKsgvmyunjnQQrY6qTMF0tKLrhMdQElPa9rLmv2RE2skf5pcB4Mtrq4nUv2svvVZ99TIT9MdqdXqqdfK2lZkvdaVVunFDQAAADx6DEYAz1l7LG/cjnww19Ruat8b/O71RItmXeFq815Hy6GzmTWxvvqfq9fRembFZllbY2eopizNvLHaifSj6XkzBbMwouvcbAZUUtOytayH61uyLzezOLJjjTBO1FgPtjhaqavT9qm6iny2aOjEyIs3sLClC0/ernxeSPZiv3oAAAAAHgsGIwAEXI1aHS2Hb5T/xIOtTuKdEeakK+emL381f0AjnCVg9C9k2dPILIClwqcbjP5NYjAkzVxT29JFGFT7TNZiouu9ngmJrG/WI7M4dsUaMlVvBnG7t1o2TmTI0EnD1nQefGadBYMLu+K1dJaa5eR65xo298kjAAAA8HgwGAFA/uMBpiZdp8C7FyLvjJhZkpoavgkHIkILDcxwsKIjez0A0dbY6WqyXrbr/RTyL/RjH5iqH/UiPSvWKEOnXWnl+LNAGsFoQvvMf2+Eez3RejpJ2Xi31jN00iiXIwAAAOChYzACeO7ckVq1jjQr8RLI9ljOUBqYyfcfJF9yeRN7L8XNejCjocHLHS++NE4UvyZ3tDrq4ws5scbCaMiezuWsNuMOMuvSypGzirwvomy8W+u5ul1mfBcAAAB45BiMAJ4zd6SWOVBj5mnn0xIZjP4bDZt25F0LbZ1Zti7DKQ/znmrhOxOi/y8smd5UdrOr06P8eEZOrFtfPZO1vNTlMrJt41Td5aUul5v3RZSPN7nelQa8MwIAAABPFIMRwDPmXk+0kGR34u+ASHuHYzZD/TdDNe2OWsGFdHs8U2Ng+ul1lpvHONpjzRoDmeG2OtIsfNeEcapuM/3XNOLpRdbJDCk7raTMWLeYqmuhReMkstzQSWOhReMs9jLKveNdr+eoOwnWu5Qs3hkBAACAJ6rmeZ5330EA/7+9O0ZO13njOP7hP7+jQArHE8AJNI0VbTootUlnmS6NlNKltbKJnEBPwFgId9l/gSgaRTQJyTe+XzPOJALLCgvow7MLAAAAAOB+kBkBAAAAAABaRTACAAAAAAC0imAEAAAAAABoFcEIAAAAAADQKoIRAAAAAACgVQQjAAAAAABAqwhGAAAAAACAVhGMAAAAAAAArSIYAQAAAAAAWkUwAgAAAAAAtIpgBAAAAAAAaBXBCAAAAAAA0CqCEQAAAAAAoFUEIwAAAAAAQKsIRgAAAAAAgFYRjAAAAAAAAK0iGAEAAAAAAFpFMAIAAAAAALSKYAQAAAAAAGgVwQgAAAAAANAqghEAAAAAAKBVBCMAAAAAAECrCEYAAAAAAIBWEYwAAAAAAACtIhgBAAAAAABadSIYkSsJPVmWVbw8T1GSbydF8ixLXpS3W8tTklCWZSlMfroiv1AeybNCtbZpPru+tuq7bb/WcaO5Zv1lGdtXo/a3bavF69rPmSvymq0njyrHbeN1FeUX83uqP7Sr8x69vEh53Xa8ZR9/dpnvbFdtH2N1ztWlrW3RxFeu/7PtrGldftP2O+U31em76/KbPusHzc/RVUn4xd9f2jwP1F7Tzl9TbrtGAQD+sqNgRK7Ic9RPfS0yI2MyLXxp1H+68CMFd80eammm6v10PS7I32fSJJOZVmqahLKckVaNSkgUOjP5mZExRiabKO1f+AGfR/L60sIUy2STVP0rvoHm0ZNGzSqnbL1SsNjWzRiZBvskCR2tx9v5F12NniKd/zi2hsv9Z3cV7D6XWQ5l163oljbyj7Qr/CK0GeB7Xbim1V1TbrlGAQD+tsNgRPKq0UoKxkP1bEmy1RsuZcxSw+ovjdnr9u6wp7DySyyPwspd48q0MqMiDBV6V0zbTg/LKLsX3mlQJFFonbjTcPIufaLQGWmlWP3dXYfq8sd3IirTvFChV/1xfWa5PJLnlfsrVPLhbss19f05SWjJ6qeaLCZyGy0wVxyM98eCPdQ4WGmd1Sxz9OPIfvTlxvPGWRhPs66CRpXLtUlddZwm85YSzeNAg7JyvenloEID8/DEPj5uI02yRa5e5lTbP1Ofcv5Gd+jOtOe6ss+19TyS50WKzm2jc9Ouqu+V2+L4eK5b1/E+qTv2P5xP6vaF9OEOcx7Jq27vJCwycC59libnoot1abEtXdqmJ9v9Nef5XJHnKYr25XhRflDuYbZjw/P+iU939fFw9vNdUrO9a4+9o+vWzcdbtZ2/an2umpeuefPwunWfbSun2+u3tOPaa1rdNaXpNSpRaIWKdlkUR98hmp6rjqdVz0enyjm7r649fgAA1zgIRuSbVNLli8VKHb2ZTBN3pXj0ujuRP43S3V3jRVCZVi6XdvS8PFqubloeyXNGSv2syNLoxho595bWlysqbkMc3Wk4dZc+VKKepru71sUXhiTsK51kZ+5i7KeZsRRX7sIfTFtI/coPAa1iaXzqzsa19f05vakpAm1Nf8D3podZFUo0j68LAOTvM62CQYO7Qbmip5n8t2d1GpWcab1aaeRcEezJN0rdjja7L6aXumk0ESvtlG0mUPxyKtMiUXh1tkiTZT62/br61B0Xe+fac13ZF9r6aqTZuW1UM61ZfW/bFsfHc+2xX6PufHK5bdh69F2lm+Ld/H2mlfbBvnyTyvUftz9smrSzW/bdbdvv823p7BY90+7rz/Mf99lKo/Vg1x41cmTNq//vr8e1n+Xseb9u+9QdD7ecC+rqeOnYO6r/jcdbfTuv7LsL17w47Sg7Me364+9Uez33/mfb8aGDa1rtNeWaa1Ss0cwvts2ie/i974pzVe1+Oijn0r5qfvwAAK5zEIzI1itJXT1cuDVafCG09dCtvGkPtTRveniPFHqe+rEkpdrkF5armVZ8GXXlP9qSbPUGgaRY83s66+fvmq1O3WnoaVrNWLEfdGKzqvzBXGxDyR6OFRzdxRiXhfSeNXGry1WnDRSsZnrf7c9Knb60vt8l1/tspe6lxn1FeZHXVzp5O8waOjt7cdfFGUmT5wahiOhJM79h2VLxJVCuJuWXKZOp89IguLAaaT0ov4D5ml38cXRJpc04HbmrtU4njuzPDfZweRTkOeeWZc7Vp+64qDjbnuvKvtTW67bRJ+t707Yopu2P50vH/jl155NL6y/Yj740e1cuKVtLk0mgeJ6oOH61+/yN2tlN+67Od7alOk3a/aV95u7PO/ajfLf6/4O6u3Vc+ixnzvvbabcdD9ce13V1vHzsHdb/ln16qZ2XLl/zgvF2/9tDjYPyu82tx19TX3SOOXdNO3dNufIatds2vWdN3Op3yabnqsvno305l/ZV0+MHAHCtg2CE03F1HEBoLI/kWY76s7U64zctgq+poFSJpBcRjt2ds7vhdnTu5nuyuwPRV3y2gOrdiL7ich9v72KcLDvfKD14w1GnUXeBr6jvV8sVeU/Sm1Gj368XJQotRzM/07JptMAeammMjBlr7VweZ+Jp5uutcSSiLL/ancrWQ/dCFxJJcifafY+0H9T90i+95/Q0zXzNnGsyMm5Z5pIzx8WxmvZc5+vbesP6ftatx37d+aQp+0Hd1VqZEs3jrh4eO9sU8Ezr1eVA+QefrU9j39WWGrb7z5yvP/iednb6eLj1uK6v49ccezXXzYP5Tt9guVyXM1l1X7ovr3XFvj93TTt3TbnqGlXdNjXz1W2rG85HP/P9BADu20Ewwn7oSmrwA+aEMoth8jbVsFdebW748vhBNZJevBr/APwrTt61K/pCzgf7tMLz31cqAw0asx8DZPfF/4QPdwYyrRsOpPj5+n41W8Plm/T0BeNU5JE8q0i1vq0d9jS4MM5E/j7TajWSY1myLEejlRT3v6FfauvZKdV1l19km6ar37hMrTPHxbFGd82rvqutN6zvZ9167NedTxrraRDEmkcbpcFAPftRvptqE80VN+redOTT9Wnqu9qSmrX7z5yvP/jqdnbheLjpuD5Xx6889mqumwfz5dqkp5a/VJfqdaBSxpfuy2vdsu8r17RvuabUjDVRt62uOh/95PcTALhvhwNYbtPY4pdIxdM8cyXbQYSa/YjbXpDyRPMT3TSuZT/6crXSbHurtngs1FfcEf2H2I/y3UrXlHLAqnyj9EPK6antXXy5fyk32sEgcMfTXitPbjieNlfs+nq89MXk0/X9Lof90W+yHcOku7giw+Jo0L0m40zYw2Xly2CmiSsFl4IfH9aTa5PWpVRLUk+D7kivu321UdpkH3/Wh7p+0zK16o6LinPtua7ob2nrDev7JWqO/aOU5CIIfW6518ZPgjlY+yBQPBqpOEhsPfrSaBQrqG/MH92y727yybZUt00b7+cbz9e3fpZr1B0PN5VfU8cvO/ZuvW5WNKhLXDaGgy48tx5/n9Vw39de02quKVddo1YalYUkrxrpXFuua/dXnI9+/PsJANyvo0d72houM026M/Wd4q5sfyZNFtnFH1/28K0IZPQtWc6LikcA3JZlUSlUy0VQDBa07ZsYLL7pbuCvZWu4XEj9bfqgM5OfTdWzh3qbpOqXoz8/rdV1y7sTxZfecvTs3nSh7nYbWv1Uk7d9P+WDafPOQZ/Kw+WkRaP+zTfU97c586Ol/OIXl5+tOgjXuR86vakyf7bNcrBkWS/qZNs2fMuPo8breZLetgOW1aynN63uq7XG5T7+th9uRV0X3dG+rk3aVtNljtp+fZHnj4tKgafbc13B39TWm9W3Wo/m26J+XdVt3dPzRLtU7if5Cs4td3Q+aczpyFWl7/pDV/VjFZxzw747WLyttlSzTevafe15vun5+tbPcoW64+GWc0FdHb/w2Ku/bmbyZ9tp5dedaz73VqD5ybZ50/F3rr1+dTuuu6ap5ppSd436wFWgl0ZtsK7dNz4f/UvfTwDgj7GMMeanK4FfIo/kOWuN/+izv/PI05PeGnWvSMJQml63HVgGqPjj5xMA3yFReBTg+BKcjwDgV/rf5Vnwd+WKvMpd/mvvHP5j7Ee/yLK5/MxLbTrX9k9nGdy7+zqfAPjNOB8BwL+AzAgAAAAAANAqMiMAAAAAAECrCEYAAAAAAIBWEYwAAAAAAACtIhgBAAAAAABaRTACQCGP5DV4Fr0kKQn3o5RbVoMnlLRYNwAAAAC/HsEIAEVwwRlp1XTevrQwRsYYGZNpkvblRfl31xIAAADAH0EwArhzSWjJ6qeaLCZyL86dK3qJFSyqz2u3NXybSLN37cMRicJd5sRxRkPDaV6o0PN0OsZRVwYAAACA345gBHDnelMjY5YaOg1mzt81WwUa9I7et4daLoeyt/8mYV/pJCsyJxZS34t2gYrG08ZSfCZVozpfNknV/+5uIgAAAAC+FMEIANdxO6qPWySax4HGw21oojdQsJrpPb922rMmJ1M1Es1jV/5jMZ89HCuI52RHAAAAAP8QghEArrNaKyv/ziN5u+4S2y4V+UbpwQKOOmVQ4dK0i4GOXSU0csr19hUr1YYhKwAAAIB/BsEIAM3Zj/LdWPMyDcEeammMjFko2M3zoO7BQpnWq4bTqoGOWkFlAM1tNxP78lIAAAAAfgeCEQCuYGs4DhT3jwaWTOaKd//0NAhivZQzJHPFrq+iV8U10141OjlmxPF8oazKuBMAAAAAfj+CEQCu05vKZL5mu24S1vZRn/vshN50oe7I2U+rDG7ZeNq8c2bMiOMyUk3e9mUAAAAA+P0sY4z56UoAwAd5JM9Za2yqjxEFAAAA8BeQGQHgl8gVeZVsC2cmPyMQAQAAAPxFZEYAAAAAAIBWkRkBAAAAAABaRTACAAAAAAC0imAEAAAAAABoFcEIAAAAAADQKoIRwL3LI3nW/ikWYdJ83vLlRfm3VC0JL9Tnarkiz9M3VRcAAABAQwQjgLuWKHRm8jMjY4xMNlHav/RjPdDCbOffvpZDu60KAwAAAPgDCEYA9yyZKw7G2sUS7KHGwUrr7MbyarMsEoW7adWAR/X9UB8SIeZhg/KOl7tQZlFZRZ4ly4tEogQAAADQLoIRwD3rTWWmvcobieaxq45zS2GnsizKQECuyOtLi+20RVejpyIIkIR9pZNMxhhlk1T9o34ZcdpR9qG8w+XMQupXggp103a1DR3N/ExmORR5HQAAAEC7CEYA2CoCBunkTfW9LmL1q2NG7IIHPU3NspJl8aDuruh3zVaBBmXcozfdBgGK4If/WCxkD8cK4vlBJkMw3gYL7KHGQax5IhVBk0DjcmW9gYLVTO/5pWmF2ZOll05G9xIAAADghxCMAKCiW0ORKXD5B/rRmBEHmRXFoJNFoKKvuDrB7eh0wsVKI6e6TKrNLnBwJksj3yg9eMNRx20wbbs++RN1Z+90zwAAAAB+CMEI4N7lkTyr6ELxuUyBYpyG+WDfTeMwBrDW6aEojgfErGRXqDp+Ra5NGWWoZl1IkjKtVw2mSZJc+Y9DPfszPfFYDQAAAOBHEIwA7lkeyXNG6i6MjhIcbihro1SVrhiSVGY52I/y3bKLxXa9VqhEPQ2CWC9lUCAJPwwoGZcLHXT1OF5urtj1VfT2qJu2Zw/f5M+eeMwnAAAA8AMIRgB3LH+faSUp7lfGgPjw1IqG7KHeJul+PImntbpumdlga7hcSOV6nJn8bKqepN50oe7IKd7vp5q8HQ4oGWj+YRl9WE5aVAairJtWqbCGb75mzrmnbQAAAAD4LpYxxvx0JQAAAAAAwP0gMwIAAAAAALSKYAQAAAAAAGgVwQgAAAAAANAqghEAAAAAAKBVBCMAAAAAAECrCEYAAAAAAIBWEYwA7l0SyrKs7StUcnbGXJFnyQoP50jCj+81ty3TOvHyIuUXq27p5lUDAAAA+DEEI4B7lkfy+tLCGBljlE1S9c/+urc1fJvIjV8U5fvlX+JAi2nvxgrYGi6LdZtsIlfBri5mOZR9Y6kAAAAAfjeCEcA9s4damqnKUIL96MuN5+ezI+yhxsFKo9dijuR1JE2etQ9FJApPZVnkkby6/89pstx8n9lxGEc5UxcAAAAAP45gBICd/H2mVTBQXZ5Db7pQEL8oSiK9pBO9Dff5C0nYVzrJisyGhdRv0NXis+K0o2ybWZH290GHal3qMz4AAAAAtI1gBIBtxoElZyRNni91uejpeSKN+iN1x9WuFInmcaBxGZzoDRSsZnr/5mhEUNbBHmocxJonZV1c+Y9FXezhWEFdxgcAAACAVhGMALDtrmFkzFhrx9uPCXFu9kdfrgINqnGLfKP0YC5HHffrq3rIVcc5N22lkVN20+grVqrNd6dpAAAAAGiEYASAip4GwUrr7IZF7Qd1D97ItF59Ta3Oq9Y11+YgGlIZDNMYGbPUkBExAQAAgF+BYARwz5Lw6BGaRfeG89kGdXoaBLFeyrSKZK7Y9fVoaxuo2Gcm5O8zNYpTNFguniflRM1WZbbGcV2OPycAAACAn0QwArhnvakyfyZn99SJF3Wy2zMIetOFuiOnKKsvLXaP59yOM7HtNvEkX0GzEi8uF2herM+Zyc/2TwY5rEuqyRuPCgUAAAB+C8sYY366EgAAAAAA4H6QGQEAAAAAAFpFMAIAAAAAALSKYAQAAAAAAGgVwQgAAAAAANAqghEAAAAAAKBVBCMAAAAAAECrCEYA2MoVeZbCpG6WSJ4V6uQsddM+rMdTlN9az7KMbV0brxcAAADAb/HfT1cAwO+QR08araTg1gLsoZbmK2sEAAAA4K8iMwKAlEd6mnUVuJ8rY5ehkEfyvEhRaMmyitfpjIsiw8HyIhWJEolCq1zmONuhMs3wX57YAAAK/klEQVR71fpcHRqtFwAAAMBPIhgB3L1c0dNM/tuzOl9Z7GqkWSeTMUZmESh+KQMOe0noaOZnMsuhbElJ2Fc6KZbJJqn6lUhCdZoZS/Hq9vUCAAAA+FkEI4A7l0dPmvlvGtpfXXKgcVmo05G7WiurTJ09WXrpZFruVpxoHrvyH4v/7eFYQTzfZkckmseV8nrPmpzN4qhfLwAAAICfRzACuGd5pKeZr7evj0RcsJL8ibqz96OshZVGTtnFoq9YqTa5pHyj9GA+Ww/dFqsLAAAA4EsRjADuWP4+02o1kmNZsixHo5UU9y15n3vURQOu/Mehnv2Zng7WFWhhTNHFwhgZsywyNuwHHcYecm0OoxMAAAAA/iEEI4A7Zg+XlR/+mSauFCxMpevEd6//Tf7safuYz54GQayXMjiRhJWBLY+nvWp0bswIAAAAAL8ewQgAV4rVt/ZPq7AsS9bNj6ywNXzzNXOKJ2f0pgt1R05RZj/V5K0Y2FKSetNM/mw77UWfe/IHAAAAgB9lGWPMT1cCAAAAAADcDzIjAAAAAABAqwhGAAAAAACAVhGMAAAAAAAArSIYAQAAAAAAWkUwAgAAAAAAtIpgBAAAAAAAaBXBCODO5ZEny7Iqr1DJ6TkVedbRvNuXFylvtjJ5Zfnn/gYAAADw5/330xUA8LOy9UrBwmjauzSnreHSaCgVwQNnrbGZ6uJiB0UMtTS31hQAAADAX0FmBHDXcm1SVx3n8+VEnqWwTG3II3mWp6hMl0jCIntilwGRKHRGWilW37Jk7f4usyMShacyNfJInhcq9OoyOAAAAAD8dgQjgLuWab1aaeTsu1yEN/3Ct/Xou0o3RfQhf59ppZXWWTE136Ry/UfZu/l7mmYTuQq0MEZm93eRaZGEfaWTTMYYZZNU/WqlVrE0NjLXZmUAAAAA+DUIRgD3LN8olatJZmSMkTGZOi+VjIYr2I++NHtXLilbS5NJoHieSMr1PpP8R/tSEVuJ5rG7m98ejhXE80oWRKABUQgAAADgn0YwArhn9lBLs9RwFyew9dDdZzRcV9aDuqu1MiWax109PHbkxnMlyrRedfXQNBYhSapma/QVK9XmhgAJAAAAgN+JASwBfJGeBkFf86ijNBhoajvauDNtIikOBppeVda+y8YBAhIAAADAn0BmBHDPyoEld2/k2qS3d4PoDQLFo5GKETFtPfrSaBQruKrAngZBrJeyr8iHOgIAAAD415EZAdyz3lTZxpNjjbZvuJpky9sHhnQ6clUZ7+GhK6l7OrhhP8p3R+pb0sI8V/6eqjddaG45KqrlapJNdVUvDwAAAAC/mmWMMT9dCQAAAAAAcD/opgEAAAAAAFpFMAIAAAAAALSKYAQAAAAAAGgVwQgAAAAAANAqghEAAAAAAKBVBCMAAAAAAECrCEYAdy9X5FmyLEuW5SnK62aN5Fmhkk+t7gvKAAAAAPBPIxgB3LkkdLQeGxljZBZdjZ4i1cUjAAAAAOCzCEYAdy3RPA406G3/7U1llkPZTRbNI3lepCgssyoshdV0hyTcvW/tMiEShc5IK8Xql+/lkTzrTBlKFJbTvFCht83cyCN5XqjQq5R9tpxckecpivb18aL8oH5ebToIAAAAgK9GMAK4Z/lGqdvRJmzYTePYaqRZJ9tmVQSKX8qsikRhX1qYIuMim6Tqh4mknqbZRK4CLcxUPSUKnZn8bJuZkU2U9vddOJKwr3SyLX8sxavqumNpbGQalCOtNFoPdtM0cmTNq/+/0m0EAAAAaBHBCODerUZaD8of8b5mV3XTCDQebvMonI7c1VrZblqqzbYge7iUmfZOLN/T1CxVFiH7Qd3dtCJrY1d+71kT93Ddu4yO2nIkydXkeTuz/Sjfrf7/oG6lrgAAAAC+H8EI4N65E5W/y2U/qLua6f3TP8x7mma+Zk6zjItkl5nRV1y+uc3acK5Y68lyAAAAAPw6BCOAe/Yhg+Aryx5qaS4NjFmMCTEf7LtX7JIf7Ad1DzIt6tSUAwAAAODXIRgB3LWeBt2RXssBE/KNUtfXY6MRLGskoSyvQXePfKP0oLuFtO/e0dMgiPVSplQkrxqtPhZxuRwAAAAAvw3BCODO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      ],
      "metadata": {
        "id": "bD9U5cfOTCNj"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Data Visualization and Correlation Analysis"
      ],
      "metadata": {
        "id": "EL-RIxvaTWYt"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Pairplot for a quick overview\n",
        "sns.pairplot(df)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "v9ejjoL8TQ8M",
        "outputId": "cca04f00-c68e-4a11-f7b9-1c948be85131"
      },
      "execution_count": 132,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x1000 with 20 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Correlation analysis\n",
        "correlation_matrix = df.corr()\n",
        "\n",
        "# Heatmap of correlations\n",
        "plt.figure(figsize=(12, 8))\n",
        "sns.heatmap(correlation_matrix, annot=True, cmap='coolwarm', fmt=\".2f\", linewidths=0.5)\n",
        "plt.title('Correlation Heatmap')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 704
        },
        "id": "hNkDJko9T1q4",
        "outputId": "b9b57e3f-09e4-43b3-9410-d904869fee9c"
      },
      "execution_count": 133,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x800 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Scatter plot between 'CLV' and 'minutes_watched'\n",
        "plt.scatter(df['CLV'], df['minutes_watched'])\n",
        "plt.xlabel('Customer Lifetime Value (CLV)')\n",
        "plt.ylabel('Minutes Watched')\n",
        "plt.title('Scatter Plot: CLV vs Minutes Watched')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        },
        "id": "4ROuBKPFT9VQ",
        "outputId": "0d7bd2b2-4b68-47b5-f7cb-6a739897cd46"
      },
      "execution_count": 134,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Create Dummy Variables"
      ],
      "metadata": {
        "id": "lNNf0qv6ptw8"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Unique values in 'region' column\n",
        "df.region.unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DrDpMrZ3rA1W",
        "outputId": "3d654bb4-51d0-4aa1-ed52-6ea8819fba6c"
      },
      "execution_count": 135,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([2, 0, 1])"
            ]
          },
          "metadata": {},
          "execution_count": 135
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Unique values in 'channel' column\n",
        "df.channel.unique()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "VmUtOP4sq48O",
        "outputId": "fa9f0e7b-b495-4071-b58b-88000fb1630b"
      },
      "execution_count": 136,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([4, 1, 2, 3, 8, 6, 7, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 136
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# One-hot encode categorical columns\n",
        "df = pd.get_dummies(df, columns=['region', 'channel'])\n",
        "\n",
        "# Display the updated dataframe\n",
        "print(df.head())"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BmG68G4EYUpE",
        "outputId": "6d3ecf81-9f47-4226-a5d4-fcadd7ccb337"
      },
      "execution_count": 137,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "   minutes_watched     CLV  region_0  region_1  region_2  channel_1  \\\n",
            "0           3197.0  205.42         0         0         1          0   \n",
            "1             63.0  149.99         1         0         0          1   \n",
            "2            605.0  119.00         0         0         1          0   \n",
            "3             20.0  240.00         0         0         1          0   \n",
            "4            245.0  184.36         0         1         0          0   \n",
            "\n",
            "   channel_2  channel_3  channel_4  channel_5  channel_6  channel_7  channel_8  \n",
            "0          0          0          1          0          0          0          0  \n",
            "1          0          0          0          0          0          0          0  \n",
            "2          1          0          0          0          0          0          0  \n",
            "3          0          0          1          0          0          0          0  \n",
            "4          0          0          1          0          0          0          0  \n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Data standardization"
      ],
      "metadata": {
        "id": "MVJFnK6bYdOk"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Standardize the data\n",
        "scaler = StandardScaler()\n",
        "df_std = scaler.fit_transform(df)"
      ],
      "metadata": {
        "id": "GuBoLL9gVQ0H"
      },
      "execution_count": 138,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Hierarchical clustering"
      ],
      "metadata": {
        "id": "48C65bI1tmD0"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "hier_clust = linkage(df_std, method = 'ward')"
      ],
      "metadata": {
        "id": "xAv8ggAetJcY"
      },
      "execution_count": 139,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize = (16,9))\n",
        "plt.title('Hierarchical Clustering Dendrogram')\n",
        "plt.xlabel('Observations')\n",
        "plt.ylabel('Distance')\n",
        "dendrogram(hier_clust,\n",
        "           truncate_mode = 'level',\n",
        "           p = 5,\n",
        "           show_leaf_counts = False,\n",
        "           no_labels = True)\n",
        "plt.savefig('hierarchical.png')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 775
        },
        "id": "lKDZZ8tEcP3V",
        "outputId": "6b8fb10f-033a-43b7-ea88-9fb50c551506"
      },
      "execution_count": 140,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x900 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "The results of the algorithm point to eight separate clusters."
      ],
      "metadata": {
        "id": "A5KvVYLut085"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## K-means clustering"
      ],
      "metadata": {
        "id": "49Qnv2AxuNIw"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Implement K-means and determine the optimal number of clusters using the Elbow Method\n",
        "inertia_values = []\n",
        "possible_k_values = range(1, 11)\n",
        "\n",
        "for k in possible_k_values:\n",
        "    kmeans = KMeans(n_clusters=k, random_state=42, n_init=10)\n",
        "    kmeans.fit(df_std)\n",
        "    inertia_values.append(kmeans.inertia_)\n",
        "\n",
        "# Plot the Elbow Method\n",
        "plt.plot(possible_k_values, inertia_values, marker='o')\n",
        "plt.title('Elbow Method for Optimal k')\n",
        "plt.xlabel('Number of Clusters (k)')\n",
        "plt.ylabel('Inertia')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 480
        },
        "id": "960MfFjYcZfk",
        "outputId": "2fbf8380-f31e-46c9-adb8-f21d7f11ef6e"
      },
      "execution_count": 141,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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gQQN8+OGHL203Z84cDBkyBK+//jrefvtt2Nvb4+nTp7h06RIePXqE3bt3AwBcXFxgYGCA0NBQpKamQiaToW3btqhVq1apYxozZgz27t2L4OBgDBs2DJaWlvjtt99w//59LF26FFJpwd+mb7/9NjZt2oRPP/0U169fh62tLXbt2lVkFOhVffLJJwgODkZQUBAGDBig2cLBwsICEyZMKHO/1tbWWLJkCcaMGYP+/fsX2fE9NjYWn332WbEbkebm5mLkyJHo1asXYmJisHnzZvj4+KBr166aNq6urtiyZQt++uknNG7cGDY2NvDz8ytzvCXp1KkTdu3aBXNzczRt2hSXLl3CyZMntT4sUFZSqRTffPMNxo8fj0mTJiEkJERnr4OqPxZZRCK1ZMmSYo8vWLDgpUXWDz/8gMWLF+O7776DoaEh3nnnHXzyySdabebPn4+GDRti586dOHjwIGrXro2xY8cW+4vcx8cHe/fu1bq3naGhITw9PXHy5Mly3fOuNJo2bYpff/0VP/74I3bu3Ink5GTY2NigRYsWWiMvtra2mDdvHlauXInPPvsM+fn5WL9+/SsVWbVr18bWrVvxzTffYOPGjcjOzoZSqcSKFSvQqVMnTTsTExOsXbsWX3zxBTZu3AhjY2O8/vrrCAgIwHvvvVfm19quXTusWrUKS5YswZIlS2BoaIjWrVvjP//5z0vz/jKtWrXC7t27sXLlSuzfvx9PnjyBubk5vLy88OWXX75wXd3s2bOxZ88eLFmyBLm5uejduzdmzpypNUU4fvx4PHjwAKtWrUJ6ejratGmjs+Lks88+g1QqxZ49e5CdnQ1vb2+sWbOmXO/784yMjLBkyRIEBwfjgw8+wNq1a4v9MATRy0iE8qwSJCKiaqvwZuVluVk3EXFNFhEREZFOsMgiIiIi0gEWWUREREQ6wDVZRERERDrAkSwiIiIiHWCRRURERKQDLLKIiIiIdICbkeqRIAhQq7kkriRSqYTvkYgwH+LCfIgL8yEuusqHVCop9b06WWTpkVotIDExXd9hiJahoRTW1mZQqTKQl6fWdzg1HvMhLsyHuDAf4qLLfNjYmMHAoHRFFqcLiYiIiHSARRYRERGRDrDIIiIiItIBFllEREREOsAii4iIiEgHWGQRERER6QCLLCIiIiIdYJFFREREpAOiKrJ27NgBpVJZ5N+3336r1e6XX35Bjx494O7ujr59++Lw4cNF+kpNTcWMGTPQpk0beHl5YeLEiUhISCjS7sKFCwgKCoKHhwc6d+6MkJAQCIL2DrGCICAkJASdOnWCh4cHgoKCcOnSpQp97URERFS9iHLH91WrVsHCwkLz2M7OTvPfe/fuxaxZszBu3Di0bdsW4eHhmDBhAjZt2gRPT09Nu0mTJiEqKgpz586FXC7HDz/8gODgYPz6668wNCx42bGxsRg9ejTat2+PSZMm4datW/j2229hYGCA0aNHa/oKDQ3FkiVLMHXqVCiVSmzatAmjRo3Crl27YG9vr/s35BWo1QIi45KRnJ4NKzM5nO2tIJWWbmdaIiIiqjiiLLJcXV1hY2NT7LklS5agd+/emDRpEgCgbdu2iIyMxLJlyxAaGgoAuHjxIo4fP46wsDD4+/sDABwcHBAYGIgDBw4gMDAQABAWFgZra2ssWrQIMpkMfn5+SExMxIoVKzBs2DDIZDJkZ2dj5cqVGDVqFEaOHAkA8PHxQc+ePREWFoa5c+fq9L14FedvJWDzwdtISs3WHLO2kGNIt2bwUdbRY2REREQ1j6imC18mLi4Od+/eRa9evbSOBwYG4tSpU8jJyQEAHDt2DAqFAu3bt9e0cXR0hIuLC44dO6Y5duzYMXTt2hUymUyrL5VKhYsXLwIomE5MS0vTuqZMJkP37t21+tK387cSsGznNa0CCwCSUrOxbOc1nL9VdKqUiIiIdEeUI1l9+vRBUlIS6tevj7fffhvvvfceDAwMEB0dDaBgVOp5Tk5OyM3NRVxcHJycnBAdHQ0HB4cid8l2dHTU9JGRkYGHDx/C0dGxSBuJRILo6Gj4+vpq2v+7nZOTE9atW4esrCwYGxuX+bUaGpa/zlWrBWw5eLvENlsO3UZrF7sqNXVoYCDV+kr6xXyIC/MhLsyHuIglH6IqsmxtbfHhhx+iZcuWkEgk+Ouvv/DDDz/g8ePHmD17NlJSUgAACoVC63mFjwvPq1QqrTVdhSwtLXHt2jUABQvji+tLJpPBxMREqy+ZTAa5XF7kmoIgICUlpcxFllQqgbW1WZme+7yrUU+R+K8RrH9LVGXjQVIW3JvWLvf1KptCYaLvEOg5zIe4MB/iwnyIi77zIaoiq0OHDujQoYPmsb+/P+RyOdatW4dx48bpMTLdUKsFqFQZ5e4n7mFKqds1rFV1fgAYGEihUJhApcpEfr5a3+HUeMyHuDAf4sJ8iIsu86FQmJR6hExURVZxevXqhdWrVyMiIgKWlpYACkahbG1tNW1UKhUAaM4rFAo8evSoSF8pKSmaNoUjXYUjWoVycnKQmZmp1VdOTg6ys7O1RrNUKhUkEommXVnl5ZU/+RYmRqVuVxHXq2z5+eoqGXd1xXyIC/MhLsyHuOg7H1Vq8rhwXVThOqlC0dHRMDIy0myn4OjoiJiYmCL7XcXExGj6MDU1Rb169Yr0Vfi8wnaFX2NiYopcs379+uVaj1VRnO2tYG0hL7GNjUXBdg5ERERUOURfZIWHh8PAwAAtWrSAvb09mjRpgv379xdp4+fnp/mUYEBAAFJSUnDq1ClNm5iYGNy4cQMBAQGaYwEBATh06BByc3O1+lIoFPDy8gIAeHt7w9zcHPv27dO0yc3NxYEDB7T60iepVIIh3ZqV2GZwt2ZVatE7ERFRVSeq6cLRo0fD19cXSqUSAHDo0CFs27YNw4cP10wPfvjhh5g6dSoaNWoEX19fhIeH48qVK9i4caOmHy8vL/j7+2PGjBn49NNPIZfL8f3330OpVOK1117Tut6ePXvw8ccfY/DgwYiMjERYWBgmT56sKdjkcjnGjh2LpUuXwsbGBs7OztiyZQuSk5O1NizVNx9lHYzv71ZknywAsK9jDi9n2xc8k4iIiHRBIvx7Tk2P5s+fj7///huPHj2CWq1GkyZNMHDgQAwbNkxrO4ZffvkFoaGhePDgARwcHDBlyhR07txZq6/U1FQsWLAAf/75J/Ly8uDv74+ZM2dq7R4PFOyDtXDhQkRERMDGxgZDhw5FcHCw1vUKb6uzefNmJCYmwsXFBdOnT9eMdpVVfr4aiYnp5erj357f8T0vT8CGP24iN19AUJem6NGmUYVeS9cMDaWwtjZDUlI61ziIAPMhLsyHuDAf4qLLfNjYmJV64buoiqyaRhdF1r8duRiP9X/cgoFUgpnDW6Fx3aJbW4gVf2iJC/MhLsyHuDAf4iKWIkv0a7KofDp61odXs9rIVwsI2XMd2bn5+g6JiIioRmCRVc1JJBKM7NUcVuYyPHyWgZ8PlbwzPBEREVUMFlk1gIWpDO/1aQEJgCOXHuD8rSf6DomIiKjaY5FVQ7RoYoOevgUL39fuiyjyCUQiIiKqWCyyapD+AY5oXNcC6Vl5WPX7Daj5mQciIiKdYZFVgxgaSDG2rytkRlJExCbhjzP39B0SERFRtcUiq4apa2OKId2cAQA7jkUj5qFKzxERERFVTyyyaqAOHvXQSmlbsK3D7uvIysnTd0hERETVDousGkgikWBEr+awtpDjcVImNh/ktg5EREQVjUVWDWVmbIQxrxds63D8ykP8czNB3yERERFVKyyyajBlI2sE+jUGAKzbdxPPUrL0HBEREVH1wSKrhuvn7wCHegpkZOch9PcbUKu5rQMREVFFYJFVwxVs69ACcpkBIuOSsfd0rL5DIiIiqhZYZBHqWJvine4F2zrs+jsGdx6k6DkiIiKiqo9FFgEA2rnVRRuXOlALBds6ZGZzWwciIqLyYJFFAAq2dRjeQ4laCmM8Sc7Cpj8j9R0SERFRlcYiizRMjY0wpm8LSCTAyWuPcPrGI32HREREVGWxyCItzRpa4fV2TQAAG/64hafJmfoNiIiIqIpikUVFvN6+CZo2sERmdj5Cfr+BfLVa3yERERFVOSyyqAgDqRTBr7eAidwAUfdT8PtJbutARET0qlhkUbFsrUww7DUlAGD3iRjcvp+s34CIiIiqGBZZ9EJtXevCz7UuBAEI2X0DGVnc1oGIiKi0WGRRid55zRm2VsZ4psrChgO3IAi87Q4REVFpsMiiEpnIDTHmdVdIJRKcufEYp65zWwciIqLSYJFFL+XUwBL9/JsAADYeiERCUoZ+AyIiIqoCWGRRqfT2awLnhpbIyslHyJ4byMvntg5EREQlYZFFpSKVShD8uitM5YaIfqDC7hN39R0SERGRqLHIolKrZWmM4T0LtnXYe/Iubt1L0nNERERE4sUii15JGxc7+LvXgwAg9PcbSM/K1XdIREREosQii17ZkO7NYGdtgkRVNtbt57YORERExWGRRa/MWGaIMX1dYSCV4NzNBBy/+lDfIREREYkOiywqE4d6CvQPcAQAbP7zNh4nclsHIiKi57HIojLr6dsIzRtZITs3Hyt3X+e2DkRERM9hkUVlJpVI8F6fFjAzNsTdR6nY+Xe0vkMiIiISDRZZVC42CmOM7OUCANh/+h4i7ibqOSIiIiJxEG2RlZ6ejoCAACiVSly9elVzfNiwYVAqlUX+3blzR+v5qampmDFjBtq0aQMvLy9MnDgRCQkJRa5z4cIFBAUFwcPDA507d0ZISEiRT8sJgoCQkBB06tQJHh4eCAoKwqVLl3TyuqsiH6UtOnrW12zrkJbJbR2IiIhEW2T99NNPyM/PL/act7c3fv75Z61/DRs21GozadIknDhxAnPnzsW3336LmJgYBAcHIy8vT9MmNjYWo0ePhq2tLVauXIkRI0ZgyZIlWL16tVZfoaGhWLJkCUaOHImVK1fC1tYWo0aNQlxcXMW/8CpqUJdmqGtjiuS0HKzdd5PbOhARUY0nyiLrzp072Lx5Mz788MNizysUCnh6emr9k8vlmvMXL17E8ePH8eWXXyIwMBBdu3bF4sWLcevWLRw4cEDTLiwsDNbW1li0aBH8/PwwcuRIjBo1CitWrEBOTg4AIDs7GytXrsSoUaMwcuRI+Pn5YdGiRbCyskJYWJhu34gqRC4zwNj/betwIfIJjl5+oO+QiIiI9EqURdb8+fMxaNAgODg4lOn5x44dg0KhQPv27TXHHB0d4eLigmPHjmm169q1K2QymeZYYGAgVCoVLl68CKBgOjEtLQ29evXStJHJZOjevbtWXwQ0rmuBtzo6AQC2HryNh8/S9RwRERGR/hjqO4B/279/PyIjI7F06VJcv3692DZnz56Fp6cn8vPz0bJlS3z00Udo3bq15nx0dDQcHBwgkUi0nufo6Ijo6IJPwGVkZODhw4dwdHQs0kYikSA6Ohq+vr6a9v9u5+TkhHXr1iErKwvGxsZlfr2GhqKsc8sssF1j3LibiGsxiVi5+zrmvNsGRmV8jQYGUq2vpF/Mh7gwH+LCfIiLWPIhqiIrMzMTCxcuxOTJk2Fubl5sm9atW6Nfv35o0qQJEhISEBYWhnfffRcbNmyAl5cXAEClUsHCwqLIcy0tLXHt2jUABQvjgYKpx+fJZDKYmJggJSVF05dMJtOajix8niAISElJKXORJZVKYG1tVqbnitl/hrfGh98exr3HadhzKhaj+7qVqz+FwqSCIqOKwHyIC/MhLsyHuOg7H6IqspYvX45atWrhrbfeemGbiRMnaj3u1KkT+vTpg59++gmhoaG6DrFCqdUCVKrqt1O6BMCo3i74Ydtl/Hb0DprVV8DdqdYr92NgIIVCYQKVKhP53OhU75gPcWE+xIX5EBdd5kOhMCn1CJloiqz4+HisXr0ay5Yt04wyZWRkaL6mp6fDzKzoqI+pqSk6duyIP/74Q3NMoVDg0aNHRdqmpKTA0tISADQjXYXXKpSTk4PMzExNO4VCgZycHGRnZ2uNZqlUKkgkEk27ssrLq57fjB6OtdDZuwEOX4hHyO7rmDe6DRSmspc/sRj5+epq+z5VRcyHuDAf4sJ8iIu+8yGaIuv+/fvIzc3FmDFjipwbPnw4WrZsiW3btpWqL0dHR5w6dQqCIGity4qJiYGzszOAguKsXr16mjVXz7cRBEGzBqvwa0xMDJo3b65pFx0djfr165drPVZ1F9S5KW7dS8aDp+lYszcCEwd4FFknR0REVF2JZoWei4sL1q9fr/Vv+vTpAIB58+Zhzpw5xT4vIyMDR44cgbu7u+ZYQEAAUlJScOrUKc2xmJgY3LhxAwEBAVrtDh06hNzc/988Mzw8HAqFQrO+y9vbG+bm5ti3b5+mTW5uLg4cOKDVFxUlMyrY1sHQQIrLd57h8MV4fYdERERUaUQzkqVQKODr61vsOVdXV7i6uuLcuXNYtWoVunfvjgYNGiAhIQFr1qzBkydPsHjxYk17Ly8v+Pv7Y8aMGfj0008hl8vx/fffQ6lU4rXXXtO0Gz16NPbs2YOPP/4YgwcPRmRkJMLCwjB58mTNtg5yuRxjx47F0qVLYWNjA2dnZ2zZsgXJyckYPXq0bt+UasC+jjkGdnLClkO38fNfUVDaW6GBbfEfaiAiIqpORFNklYatrS1yc3Px/fffIzk5GSYmJvDy8sK8efPg4eGh1faHH37AggULMHv2bOTl5cHf3x8zZ86EoeH/v+TGjRsjLCwMCxcuxJgxY2BjY4OJEydi1KhRWn0FBwdDEASsXr0aiYmJcHFxQVhYGOzt7SvldVd13Vo1xLWYRFyNfoaVu69j1ohWMDI00HdYREREOiUReP8TvcnPVyMxsWZs2JmSnoM5YWegyshFN5+GGNLd+aXPMTSUwtraDElJ6VxIKgLMh7gwH+LCfIiLLvNhY2NW6k8XimZNFlVvlmYyjOrtAgA4eP4+rtx5queIiIiIdItFFlUaD6fa6OZTcCPv1XsjkJKeo+eIiIiIdIdFFlWqgZ2d0NDWDKqMXITtvQE1Z6uJiKiaYpFFlcrIsGBbByNDKa5FJ+LQufv6DomIiEgnWGRRpWtga46gLk0BAL8ciUJcQpqeIyIiIqp4LLJILzp7NYBn09rIyxewcvd15OTm6zskIiKiCsUii/RCIpFgZGBzWJrJ8OBpOn4+HKXvkIiIiCoUiyzSG4WpDO/1aQEAOHwhHhdvP9FzRERERBWHRRbplauDDXq0Kdg5f034TSSlZus5IiIioorBIov07s0AJzSqY460TG7rQERE1QeLLNI7I0MpxvZzhcxQiht3k3DgbBzUagERdxNx9MJ9RNxNhFrNwouIiKqWKnWDaKq+6tUyw6BuzbB+/y1sPxKF/WdiocrI1Zy3tpBjSLdm8FHW0WOUREREpceRLBKNji3rw6GeAmoBWgUWACSlZmPZzms4fytBT9ERERG9GhZZJBqCACSlZpXYZsvB25w6JCKiKoFFFolGZFwyktNKvml0Ymo2IuOSKycgIiKicmCRRaKRnF667RtK246IiEifWGSRaFiZySu0HRERkT6xyCLRcLa3grVFyQWUjYUczvZWlRMQERFRObDIItGQSiUY0q1ZiW3q1TarpGiIiIjKh0UWiYqPsg7G93crMqJlalywpdv1mESE7LmOvHy1PsIjIiIqNW5GSqLjo6wDr2a2uPMgBbmCBEYSAU71LXE+8glCdl/H2YgEpGflYUJ/d8hlBvoOl4iIqFgcySJRkkolcGlig47eDeHSxAZSqQStm9fBpIEtITcywPWYRHy79SLSMnNf3hkREZEesMiiKsXVwQZTB3vCzNgQdx6o8N9NF5CUyi0diIhIfFhkUZXjVN8S097xgbWFHPFP0/HVhvN4nJih77CIiIi0sMiiKqlBbTNMf8cbdtYmeKbKwoKN5xH7KFXfYREREWmwyKIqq7alCaa/44NGduZQZeTi6y0XcOtekr7DIiIiAsAii6o4hZkMnw7xhtLeCpnZ+Vi07TIu3n6i77CIiIhYZFHVZyI3xJSglvBqVhu5eWos23ENJ64+1HdYRERUw7HIomrByNAAH/R3Q3v3ulALAsL2RuDA2Xv6DouIiGowFllUbRhIpXg30AU92tgDALb+FYVfj96BIAh6joyIiGoiFllUrUglErzduSne6ugIANh7KhYb/rgFtZqFFhERVS4WWVTtSCQS9PZrghE9lZBIgCOXHmDF7uvIzeP9DomIqPKwyKJqq6NnA7zfzw2GBhKcu5mAJdsvIysnT99hERFRDcEii6q1Vs3r4KPC+x3eTcI3Wy7xfodERFQpWGRRtefaxAb/GewFcxMjxDxUYcHG80hUZek7LCIiquZEW2Slp6cjICAASqUSV69e1Tr3yy+/oEePHnB3d0ffvn1x+PDhIs9PTU3FjBkz0KZNG3h5eWHixIlISEgo0u7ChQsICgqCh4cHOnfujJCQkCKfRhMEASEhIejUqRM8PDwQFBSES5cuVejrJd1yrK/AtKHesLaQ4+GzDCzYeB6PeL9DIiLSIdEWWT/99BPy8/OLHN+7dy9mzZqFXr16ITQ0FJ6enpgwYUKRomfSpEk4ceIE5s6di2+//RYxMTEIDg5GXt7/r8mJjY3F6NGjYWtri5UrV2LEiBFYsmQJVq9erdVXaGgolixZgpEjR2LlypWwtbXFqFGjEBcXp5PXTrpRv7YZZrzjAzsbUzxTZfN+h0REpFOiLLLu3LmDzZs348MPPyxybsmSJejduzcmTZqEtm3b4vPPP4e7uzuWLVumaXPx4kUcP34cX375JQIDA9G1a1csXrwYt27dwoEDBzTtwsLCYG1tjUWLFsHPzw8jR47EqFGjsGLFCuTk5AAAsrOzsXLlSowaNQojR46En58fFi1aBCsrK4SFhen+zaAKVcvSGNPf8UbjuhZIzcjFfzdfwM1Y3u+QiIgqniiLrPnz52PQoEFwcHDQOh4XF4e7d++iV69eWscDAwNx6tQpTWF07NgxKBQKtG/fXtPG0dERLi4uOHbsmObYsWPH0LVrV8hkMq2+VCoVLl68CKBgOjEtLU3rmjKZDN27d9fqi6oOhakMnwz2QvNGVsjK+d/9DiN5v0MiIqpYhvoO4N/279+PyMhILF26FNevX9c6Fx0dDQBFii8nJyfk5uYiLi4OTk5OiI6OhoODAyQSiVY7R0dHTR8ZGRl4+PAhHB0di7SRSCSIjo6Gr6+vpv2/2zk5OWHdunXIysqCsbFxmV+voaEo61xRMDCQan2tSBaGMkwd4oXlO6/h/K0n+HHnVbzXpwU6tKxf4deqLnSZD3p1zIe4MB/iIpZ8iKrIyszMxMKFCzF58mSYm5sXOZ+SkgIAUCgUWscLHxeeV6lUsLCwKPJ8S0tLXLt2DUDBwvji+pLJZDAxMdHqSyaTQS6XF7mmIAhISUkpc5EllUpgbW1WpufWJAqFic76njW6LZZtv4w/z95D6J4byIcE/Ts11dn1qgNd5oNeHfMhLsyHuOg7H6IqspYvX45atWrhrbfe0ncolUKtFqBS8RNuL2JgIIVCYQKVKhP5+brbrf2d7s1gZCBB+KlYrN5zHQnP0jGws1ORkdCarrLyQaXDfIgL8yEuusyHQmFS6hEy0RRZ8fHxWL16NZYtW6YZZcrIyNB8TU9Ph6WlJYCCUShbW1vNc1UqFQBozisUCjx69KjINVJSUjRtCke6Cq9VKCcnB5mZmVp95eTkIDs7W2s0S6VSQSKRaNqVVR5v9fJS+flqnb9PAzo6wUxuiF+O3MHvJ+9ClZ6D4T2UkEpZaP1bZeSDSo/5EBfmQ1z0nQ/RFFn3799Hbm4uxowZU+Tc8OHD0bJlS3z33XcACtZmPb9GKjo6GkZGRrC3twdQsH7q1KlTEARBazQiJiYGzs7OAABTU1PUq1dPs+bq+TaCIGj6L/waExOD5s2ba12zfv365VqPReLSq21jmJkYYd3+mzh2+QEysnIR/LorjLhujoiIykA0vz1cXFywfv16rX/Tp08HAMybNw9z5syBvb09mjRpgv3792s9Nzw8HH5+fppPCQYEBCAlJQWnTp3StImJicGNGzcQEBCgORYQEIBDhw4hNzdXqy+FQgEvLy8AgLe3N8zNzbFv3z5Nm9zcXBw4cECrL6oeAlrWxwdv/O9+h7eeYDHvd0hERGUkmpEshUIBX1/fYs+5urrC1dUVAPDhhx9i6tSpaNSoEXx9fREeHo4rV65g48aNmvZeXl7w9/fHjBkz8Omnn0Iul+P777+HUqnEa6+9pmk3evRo7NmzBx9//DEGDx6MyMhIhIWFYfLkyZqCTS6XY+zYsVi6dClsbGzg7OyMLVu2IDk5GaNHj9bhO0L64qOsg8kDDbFkx1Xc+N/9DicN9ICFqezlTyYiIvof0RRZpdWnTx9kZmYiNDQUISEhcHBwwI8//qgZeSr0ww8/YMGCBZg9ezby8vLg7++PmTNnwtDw/19y48aNERYWhoULF2LMmDGwsbHBxIkTMWrUKK2+goODIQgCVq9ejcTERLi4uCAsLEwzPUnVj0sTG3wy2Avfb7uMmIcqLNx0AR8HecJGwelhIiIqHYnw7xv1UaXJz1cjMTFd32GIlqGhFNbWZkhKStfbwsWHz9Lx7dZLSErNRi2FHFOCPFGvVs3cdkMM+aD/x3yIC/MhLrrMh42NWak/XSiaNVlEYlSvVsH9Dutq7nd4AXcfqfQdFhERVQEssoheopalMaa9440mdS2QlpmLrzdfRATvd0hERC/BIouoFBSmMvxnsBdcGlsjKycf32+7hAu83yEREZWARRZRKZnIDTFpoAe8nW2Rly9g2c6r+PvKA32HRUREIsUii+gVGBka4P03XNHBox4EAVgTfhP7z9zTd1hERCRCLLKIXpGBVIqRvZqjl28jAMC2w1H45UgU+EFdIiJ6HossojKQSCQY2LkpBnZ2AgDsO30P6/bfhFrNQouIiAqwyCIqh16+jfFur+aQSIBjlx9i+W/XkJuXr++wiIhIBFhkEZVTh5b18cEb7jA0kOB85BP88MsVZGbzfodERDUdiyyiCuCjtMXktz0hlxkgIjYJ32y5iNSMHKjVAm7GJuH0jUe4GZvE6UQiohqkyt27kEisXBpba+53ePdRKuasPgtBAFLSczRtrC3kGNKtGXyUdfQYKRERVQaOZBFVIId6Ckx/xxvmJoZITsvRKrAAICk1G8t2XsP5Wwl6ipCIiCoLiyyiCmZnbQoDacnfWlsO3ubUIRFRNccii6iCRcYlFxnB+rfE1GxExiVXTkBERKQXLLKIKlhyenaFtiMioqqJRRZRBbMyk5eqXXY299MiIqrOWGQRVTBneytYW7y80Fr3xy1sOHAL6Vm5lRAVERFVNhZZRBVMKpVgSLdmJbZxbmgJADh8IR7TV57G31ceQM17HxIRVSsssoh0wEdZB+P7uxUZ0bKxkGN8fzdMe8cHnwz2Qv3aZkjLzMWa8JtYsPE8Yh+l6iliIiKqaBJB4J/P+pKfr0ZiYrq+wxAtQ0MprK3NkJSUjrw8tb7DKRO1WkBkXDKS07NhZSaHs70VpFKJ5nxevhoHz93HrhMxyM7Jh0QCdPZqgP4BjjAzNtJj5EVVh3xUJ8yHuDAf4qLLfNjYmMHAoHRjVNzxnUiHpFIJmje2fuF5QwMpevo2gm8LO/z8122cjUjAXxfi8c/NBAzs1BTt3OtCKpG88PlERCRenC4kEgFrCznG9XPDfwZ5ol4tU6Rm5GJ1eAQWbryAe485hUhEVBWxyCISEZcmNpg3qg0GdnaC3MgAUfEpmLf2H2z6MxIZ/BQiEVGVwiKLSGQMDaTo5dsYXwb7onXzOhAE4ND5+5gRchonrj4El1ESEVUNLLKIRMpGYYz333DDx4M8UdfGFKqMXITtjcDCTRcQl5Cm7/CIiOglWGQRiZxrExt8ProNBnRygsxIitv3UzBvzT/YfDASGVl5+g6PiIhegEUWURVgaCBFYNvG+Cq4LVopbaEWBBw8dx8zQk/j5DVOIRIRiRGLLKIqxEZhjA/6u2NKUEvY2ZhClZ6DVb9H4L+bLuA+pxCJiESFRRZRFeTmUAufj2qDtzo6QmYkReT9FMxd8w+2HrqNzGxOIRIRiQGLLKIqyshQit5+TfDle23h878pxAP/xGFGyGmcuv6IU4hERHrGIouoiqtlaYzx/d0x5e2WsLM2QUp6DkL33MB/N1/E/SecQiQi0hcWWUTVhJtjLXw+2hdvBjhCZihFZFwy5q7mFCIRkb6wyCKqRowMpejTrgnmB/vC2/m5KcTQ0zh9g1OIRESViUUWUTVU29IEE950x6SBLVHHygQpaTkI2X0D32y5iHhOIRIRVQoWWUTVmIdTLXzxXhv07+AAI0Mpbt5Lxtw1/2DbX1GcQiQi0jFRFVlHjx7FO++8g7Zt28LNzQ1du3bFggULkJqaqmkzbdo0KJXKIv+OHTum1VdOTg7++9//on379vD09MS7776L6OjoIte8c+cO3n33XXh6eqJ9+/b4+uuvkZOTU6TdL7/8gh49esDd3R19+/bF4cOHK/4NINIBI0MDvN7eAV++5wuvZrWRrxaw/+w9fBZ6GmcjHnMKkYhIRwz1HcDzkpOT4eHhgWHDhsHKygq3b9/G0qVLcfv2baxevVrTzt7eHt9++63Wc52cnLQez58/H+Hh4Zg2bRrs7OywYsUKjBw5Env37oWFhQUAICUlBSNGjECTJk2wdOlSPH78GAsXLkRWVhZmz56t6Wvv3r2YNWsWxo0bh7Zt2yI8PBwTJkzApk2b4Onpqbs3hKgC1bYywYdveeBy1FNsPhiJJ8lZWLHrOo5eeoCh3Z1Rv7aZvkMkIqpWRFVk9evXT+uxr68vZDIZZs2ahcePH8POzg4AYGxsXGJx8+jRI2zfvh1z5szBgAEDAADu7u7o3Lkztm7diuDgYADA1q1bkZ6ejh9//BFWVlYAgPz8fMybNw9jx47VXG/JkiXo3bs3Jk2aBABo27YtIiMjsWzZMoSGhlbgO0Ckey2b1kaLJtbYd/oe9p6ORURsEuasPovXWtvj9fZNYCwT1Y8FIqIqS1TThcUpLH5yc3NL/Zzjx49DrVajZ8+eWv20b99ea1rx2LFj8PPz01wDAHr16gW1Wo0TJ04AAOLi4nD37l306tVL6xqBgYE4depUsVOLRGJnZGiAvv4O+OI9X3g2LZhC3HfmHj4LPYN/biZwCpGIqAKI8k/W/Px85OXlISoqCsuWLUOXLl3QsGFDzfnY2Fj4+PggOzsbzs7O+OCDD9CtWzfN+ejoaNSqVQuWlpZa/To5OWH79u1a7d566y2tNgqFAra2tpr1W4VfHRwcivSVm5uLuLi4IlOVr8LQUPR1rt4YGEi1vlLFq1/bDFMGeeJi5BNsPBCJJ8mZWP7bNbg62GBYD6VmClGtFnArLhnZMUmQG0rQrIElpFKJnqOv2fj9IS7Mh7iIJR+iLLI6d+6Mx48fAwA6dOiA7777TnPOxcUF7u7uaNq0KVJTU7FlyxaMHz8eixcv1oxcqVQqzbqr5ykUCqSkpGgeq1QqKBSKIu0sLS017Qq//rtd4ePn+3tVUqkE1tZcB/MyCoWJvkOo9rr4mqG9tz1+/es2tv91G9djEjEz9DT6BTihST0F1u69gWcpWZr2tSyNMeYNd7TzqK/HqAng94fYMB/iou98iLLICgkJQWZmJqKiorB8+XKMGzcOa9asgYGBAUaMGKHVtkuXLhg0aBCWLFmiNT1YFajVAlSqDH2HIVoGBlIoFCZQqTKRn6/Wdzg1Qq829vBuWgsbD9zC5ahn+PVwVLHtnqVkYcG6f/DhAA+0bl6nkqMkgN8fYsN8iIsu86FQmJR6hEyURVbz5s0BAF5eXnB3d0e/fv3w559/FltESaVSvPbaa/jmm2+QlZUFY2NjKBQKpKUV3XBRpVJpTSEqFAqt7SEKpaSkaNoVfk1NTYWtra1WX8+fL6u8PH4zvkx+vprvUyWqpTDGxLc8cOH2EyzfeQ3qEpZnbfrjFlo61uLUoR7x+0NcmA9x0Xc+KqTIys3NRXR0NFJTU4tdMNu6desy961UKmFkZIR79+6V+jmOjo54+vSpVrEEFKyvcnR01Gr3772zUlNT8eTJE027wq//fm50dDSMjIxgb29fptdFJGYSiQRmcqMSCywASEzNRmRcMpo3tq6cwIiIqpByFVlqtRrfffcdNm/ejKysrBe2i4iIKPM1Ll++jNzcXK2F7/+OYf/+/WjWrBmMjY0BAP7+/pBKpThw4AAGDhwIoGB06vjx4/jggw80zw0ICMCKFSu01mbt378fUqkU7du3B1CwJ1eTJk2wf/9+rcX14eHh8PPzg0wmK/NrIxKz5PTsCm1HRFTTlKvIWrFiBcLCwhAUFAQfHx988sknmDp1KhQKBTZv3gyJRIL//Oc/pe5vwoQJcHNzg1KphLGxMW7evImwsDAolUp069YN8fHxmDZtGnr37o3GjRsjJSUFW7ZswbVr17B06VJNP3Xr1sWAAQPw9ddfQyqVws7ODitXroSFhQUGDRqkaTdo0CBs2LAB48ePx9ixY/H48WN8/fXXGDRokGaPLAD48MMPMXXqVDRq1Ai+vr4IDw/HlStXsHHjxvK8fUSiZmUmL1U7CXd7ICIqVrmKrJ07d6JXr16YN28ekpKSAACurq7w8/PDG2+8gUGDBuH06dNo165dqfrz8PBAeHg4QkJCIAgCGjRogIEDB2L06NGQyWQwMzODubk5li9fjmfPnsHIyAhubm4IDQ1Fhw4dtPqaOXMmzMzM8N133yE9PR3e3t5Ys2aN1qcOLS0tsW7dOnzxxRcYP348zMzMMGDAAEyePFmrrz59+iAzMxOhoaEICQmBg4MDfvzxR3h5eZXn7SMSNWd7K1hbyJGUWvJI1erwCDxJyUKPNo1gxC1JiIg0JEI5dh10d3fHzJkzERQUhPT0dPj4+GDlypXo2LEjAGDt2rVYs2YNjh49WmEBVyf5+WokJqbrOwzRMjSUwtraDElJ6VxIqifnbyVg2c5rLzxfv5YpHjwr+ISsnY0p3nnNGa5NbCorvBqN3x/iwnyIiy7zYWNjVupPF5brz04rKytkZBT8gC0cZYqLi9NqU/gpPCKqenyUdTC+vxusLbSnDm0s5Bjf3w1fvOeL4NdbQGEmw+PEDHy39RJW7Lr20tEvIqKaoFzThS1atMDVq1c1j319fbFu3Tq4uLhAEASsX78eSqWy3EESkf74KOvAq5kt7jxIQa4ggZFEgFP9/9/x3c+1Llo61cLOv2Pw14X7OBuRgCt3nuENfwd0bdUQBlJOIRJRzVSu6cJDhw5h586dWLRoEWQyGaKiojB06FCoVCoIggBLS0usXLmyxJs512ScLiwZh9/FpTT5iH2Uig0HbiH6QcEIdkNbcwzr4YxmDa0qMdKagd8f4sJ8iItYpgvLVWQVJzU1FWfOnIGBgQG8vLy0br5M2lhklYw/tMSltPlQCwL+vvwA24/cQXpWHgDA370eBnR2gsKUW55UFH5/iAvzIS7Vtsii0mORVTL+0BKXV81HakYOth+5g7+vPAQAmBkb4q2OTgjwrA+phDvElxe/P8SF+RAXsRRZr7Qm68GDBwCA+vXraz1+mcL2RFRzWJjK8G6gCzp41MeGA7cQl5CG9X/cwt9XHmJYD2c0qVv05uxERNXJK41kNW/eHBKJBJcvX4ZMJtM8fpny7PhenXEkq2T8y1BcypOPfLUaf12Ix85j0cjKyYcEQGfvBngzwBGmxka6Cbia4/eHuDAf4lIlR7K++uorSCQSGBkZaT0mIiqJgVSK7q3s0bp5Hfz8VxTO3HiMvy7E49zNBLzdpSn8XOvyZwkRVTtck6VHHMkqGf8yFJeKzEfE3URs/DMSD/+3kamzvRXeec0ZDW3NKyLUGoHfH+LCfIiLWEayyrWBzfTp03H58uUXnr9y5QqmT59enksQUTXk0sQG80a1wVsdHSEzlCIyLhnz1vyDbX9FISsnT9/hERFViHIVWTt37sS9e/deeP7+/fv47bffynMJIqqmDA2k6O3XBPODfeHVrDby1QL2n72Hz0LP4NzNBHCQnYiqOp1uxZyQkABjY2NdXoKIqrjalib48C0PfDTAA7UtjZGUmo2ffruG77ddxuOkDH2HR0RUZq98W52DBw/i0KFDmsfbtm3DyZMni7RLTU3FyZMn4ebmVr4IiahGaNm0NlwaW2PvqVjsOxOLazGJmLXqLALbNkJg28aQGRnoO0QiolfyykXWnTt3sH//fgDQbOdw7do1rTYSiQSmpqZo3bo1pk2bVjGRElG1JzMyQP8AR7Rzq4uNf0biekwidp+4i1PXH2Fod2d4ONXWd4hERKVWrk8XNm/eHN988w1ef/31ioypxuCnC0vGT+uIS2XnQxAEnLv1BFsP3UZSajYAwNvZFoO7NkMtSy5D4PeHuDAf4iKWTxe+8khWoezsbEyfPh1169YtaxdERC8kkUjQunkduDnYYPeJGPz5z31ciHyCazHP0Le9A15rbQ/DUv6gIyLShzL/hJLL5Vi0aBFiYmIqMh4iIi0mckMEdWmGue+2RrOGlsjJVWP7kTuYs/osImKT9B0eEdELlevPwKZNmyI+Pr6iYiEieqGGdcwxbag3Rvd2gYWpER4+y8A3Wy4iZM91pKRl6zs8IqIiylVkTZ48GVu3bi3204VERBVNIpGgvXs9fDWmLTp7N4AEwOnrjzEj9DQOnotDvpprYYhIPMq18H3cuHGIiYnBvXv30LBhQzRs2BByuVz7AhIJli9fXu5AqyMufC8ZF5KKixjzEfNQhQ1/3MLdR6kAgEZ1zDGshxJODSz1HJnuiTEfNRnzIS5VfuE7AERGRgIA6tWrh/z8fMTGxhZpw5u+EpGuONRTYObwVjh6+QF+PXIH9xLS8OWG8whoWQ8DOjWFuYmRvkMkohqsXEXWX3/9VVFxEBGViVQqQWevBvBxtsUvR6Jw4uojHLv8EBcin2JAJyf4e9SD9H9/7KnVAiLjkpGcng0rMzmc7a0glfIPQSLSjXIVWUREYqEwk2F07xbo4FEfGw7cQvyTdKzddxN/X36AYT2UeJKcic0H/3/PLQCwtpBjSLdm8FHW0WPkRFRdlWtNFgDk5+dj//79OHPmDJ49e4aJEydCqVQiNTUVp06dgre3N2rX5i7NxeGarJJxjYO4VKV85OWrcej8ffx2PAbZOfkvbT++v1uVK7SqUj5qAuZDXMSyJqtcny5UqVQYPHgwPv74Y/z+++/466+/kJiYCAAwNTXF/PnzsX79+vJcgojolRkaSNGjTSN8FdwWrZS2L22/5eBtqNXl+nuTiKiIchVZ3377LW7fvo2wsDAcPHgQzw+KGRgYoEePHjh69Gi5gyQiKgtrCzm6eDd8abvE1GxExiXrPiAiqlHKVWQdOnQIw4YNQ/v27Yv9FGGTJk24WSkR6VVyeuk2Ki1tOyKi0ipXkZWamoqGDV/8V2JeXh7y81++HoKISFeszOQvb/QK7YiISqtcRVajRo1w/fr1F54/ceIEnJycynMJIqJycba3grVFyQWUscwATg0UlRQREdUU5SqyBgwYgF9//RXh4eGa9VgSiQQ5OTn4/vvv8ffffyMoKKhCAiUiKgupVIIh3ZqV2CYrJx9Ltl9BWmZuJUVFRDVBubZwEAQBs2bNwvbt26FQKKBSqVC7dm0kJycjLy8PQUFBmDdvXkXGW61wC4eS8SPR4lLV83H+VkKRfbJsLORo1bwOjlyKR06uGrUtjfHhWx6wr2Oux0hLp6rno7phPsRFLFs4lHufLAA4d+4c/vjjD8TGxkKtVqNRo0bo1asXWrduXd6uqzUWWSXjDy1xqQ75eNGO73EJaVj66xU8TcmCzEiKUYEuaONip+9wS1Qd8lGdMB/iUq2KLCobFlkl4w8tcanu+UjLzMXKXddw/W4SAKBX20Z4K8BJtLfdqe75qGqYD3ERS5FVrjVZRETVhbmJESa93RI92zQCAOw7fQ8//HIZ6Vlcp0VEZVOuexcKgoCff/4Z27dvR1xcHFQqVZE2EokEN27cKM9liIgqhYFUire7NEWjuuZYG34T12IS8cXac5jwljsa2op/nRYRiUu5iqyvv/4aa9euhYuLC/r27QtLS8tyBXP06FGEhoYiKioKaWlpsLOzQ7du3TBhwgRYWFho2v3111/44YcfEBMTg/r162PMmDF46623tPoq/ITj7t27kZ6eDi8vL8yaNQuOjo5a7e7cuYP58+fj4sWLMDMzQ79+/TBp0iTIZDKtdr/88gtWrVqFBw8ewMHBAZMnT0bnzp3L9XqJSJzatqiL+rXMsPTXq0hIzsSX689jdG8XtGpete5vSET6Va41WX5+fmjTpg0WL15cIcHs2rULt27dQsuWLWFlZYXbt29j6dKlcHV1xerVqwEULLIfPnw4BgwYgMDAQJw+fRorVqzADz/8gJ49e2r6mj17NsLDwzFt2jTY2dlhxYoViIuLw969ezUFW0pKCnr37o0mTZpg7NixePz4MRYuXIi+ffti9uzZmr727t2Ljz/+GOPGjUPbtm0RHh6OX3/9FZs2bYKnp2eZXy/XZJWMaxzEpSbmIzUjByt2XUdEbME6rT7tGuMNf0dRrNOqifkQM+ZDXMSyJqtcI1lZWVlo165debrQ0q9fP63Hvr6+kMlkmDVrFh4/fgw7OzssX74cHh4e+PzzzwEAbdu2RVxcHJYsWaIpsh49eoTt27djzpw5GDBgAADA3d0dnTt3xtatWxEcHAwA2Lp1K9LT0/Hjjz/CysoKAJCfn4958+Zh7NixsLMr+HTRkiVL0Lt3b0yaNElzzcjISCxbtgyhoaEV9vqJSFwsTGWYEtQSvxy+gwP/xOH3k7G49zgNY15vAVNjI32HR0QiV66F735+frh69WpFxVKswuInNzcXOTk5OHPmjNaIFQAEBgbizp07uH//PgDg+PHjUKvVWu2srKzQvn17HDt2THPs2LFj8PPz01wDAHr16gW1Wo0TJ04AAOLi4nD37l306tWryDVPnTqFnJyciny5RCQyBlIpBnVthuA+LWBkKMWVO8/wxbpziH/KUWgiKlm5RrLmzJmD9957DytWrEBQUBCsra0rJKj8/Hzk5eUhKioKy5YtQ5cuXdCwYUNERUUhNze3yLqqwlv3REdHo2HDhoiOjkatWrWKrBFzcnLC9u3bNY+jo6OLrOVSKBSwtbVFdHS0pg0AODg4FOkrNzcXcXFx5bp1kKEhP+D5IoXDsaUdliXdqun56OBZH/Z25vjhl8t4nJSJL9efw9h+rvBR6medVk3Ph9gwH+IilnyUq8jq2bMnBEHA4sWLsXjxYsjlckil2i9IIpHg/Pnzr9Rv586d8fjxYwBAhw4d8N133wEoWEMFFBRCzyt8XHhepVJpLZR/vl1hm8J2/+4LACwtLTXtSnvNspBKJbC2Nivz82sKhcJE3yHQc2pyPqytzbB4ig3+u+EfXLvzDIt/uYJB3ZUY/JpSb+u0anI+xIj5EBd956NcRVaPHj0gkVT8D5aQkBBkZmYiKioKy5cvx7hx47BmzZoKv46+qdUCVKoMfYchWgYGUigUJlCpMpGfz4Wk+sZ8/L8pb7fE1oO3ceCfOGz98xZu3X2Gsf3cYGpcrh+pr4T5EBfmQ1x0mQ+FwqRyFr4vXLiwPE9/oebNmwMAvLy84O7ujn79+uHPP/9E06ZNAQCpqala7Qv35yqcHlQoFEhLSyvSr0ql0ppCVCgURfoCCkanCtsVfk1NTYWtre0Lr1lW/BTKy+Xnq/k+iQjzUWBQ12awr2OOdftv4eLtp5i7+iw+fMsd9WpV7ug08yEuzIe46Dsfr1xkXb9+/ZUv4urq+srPKaRUKmFkZIR79+6hS5cuMDIyQnR0NDp06KBpU7huqnCtlqOjI54+fapVLBW2e349l6Ojo+a5hVJTU/HkyROtvop7bnR0NIyMjGBvb1/m10ZEVVt793qoX9sMP+64ikeJGfhi3TmMed0Vns1q6zs0IhKBVy6y3nrrrVJPEQqCAIlEgoiIiFcOrNDly5eRm5uLhg0bQiaTwdfXF3/88QdGjBihaRMeHg4nJyc0bNgQAODv7w+pVIoDBw5g4MCBAApGp44fP44PPvhA87yAgACsWLFCa23W/v37IZVK0b59ewCAvb09mjRpgv3796Nbt25a1/Tz8yuyaSkR1SwO9RSYPbI1lu+8isj7KVjy6xW84e+APu2bQKqD5RREVHW8cpG1YMECXcQBAJgwYQLc3NygVCphbGyMmzdvIiwsDEqlUlPgvP/++xg+fDjmzp2LXr164cyZM/j999/x/fffa/qpW7cuBgwYgK+//hpSqRR2dnZYuXIlLCwsMGjQIE27QYMGYcOGDRg/frxmM9Kvv/4agwYN0uyRBQAffvghpk6dikaNGsHX1xfh4eG4cuUKNm7cqLP3goiqDkszGaYO9sLWQ7fx14V4/HY8BrGPU/FenxYwkVfeOi0iEpdy7fhe0UJCQhAeHo579+5BEAQ0aNAA3bt3x+jRo2Fu/v/3DTt06FCR2+oUbjpaqPC2Ort27UJ6ejq8vb0xc+bMItst3LlzB1988YXWbXUmT55c7G11QkNDNbfVmTJlSrlvq8Md30vGHZTFhfkonb8vP8CGA7eQly+gXi1TfPiWB+ramFb4dZgPcWE+xEUsO76LqsiqaVhklYw/tMSF+Si9Ow9SsGzHVSSn5cBEbogxr7dAy6YVu06L+RAX5kNcxFJkcdc0IqIK5lTfEnNGtkbTBpbIzM7Dku1XsOfkXfBvWqKahUUWEZEOWJrL8ckQL3TyagABwM5j0fjpt2vIysnTd2hEVElYZBER6YihgRTDeygxoqcSBlIJzt96gi/Xn8fjJG5CTFQTsMgiItKxjp4N8OkQb1iayRD/NB1frD2Hq9HP9B0WEekYiywiokrQtKElZo9sDaf6CmRk5+GHbZex9xTXaRFVZyyyiIgqibWFHJ8M8UZAy3oQAPx6NBordl1Hdk6+vkMjIh1gkUVEVImMDKUY0bM5hvUoWKf1z80EfLnhHBKSM/UdGhFVMBZZRESVTCKRoLNXA/xnsBcUZjLcf5KOL9b+g+sxifoOjYgqEIssIiI9cba3wuwRreBQT4H0rDws2nYJ+8/c4zotomqCRRYRkR7ZKIwxbagX/N3rQRCAbYejELLnBrJzuU6LqKpjkUVEpGdGhgZ4N7A5hnZ3hoFUgjM3HmPBhvN4ynVaRFUaiywiIhGQSCTo6tMQUwd5wsLUCPcS0vD5unOIuMt1WkRVFYssIiIRUTayxpyRrdG4rgXSMnPx3c+XceCfOK7TIqqCWGQREYmMjcIY04d6o51bXagFAVsP3caq328g53/rtNRqARF3E3H0wn1E3E2EWs0CjEiMDPUdABERFSUzMsDo3i5obGeBn/+Kwqnrj/HgaQY6etbHnpN3kZSarWlrbSHHkG7N4KOso8eIiejfOJJFRCRSEokE3Vvb4+NBnjA3MULs41Ss/+OWVoEFAEmp2Vi28xrO30rQU6REVBwWWUREIufS2Bozh/vAQCopsd2Wg7c5dUgkIiyyiIiqgERVNvJfUkAlpmYjMi65cgIiopdikUVEVAUkp2e/vNErtCMi3WORRURUBViZyUvVzkTGzzMRiQWLLCKiKsDZ3grWFi8vtML23sCBf+KQm8fb8hDpG4ssIqIqQCqVYEi3ZiW2sTSTIS0zD1sP3cb0kNM4dvkB8tXqSoqQiP6NRRYRURXho6yD8f3dioxo2VjIMb6/G775oB1G9moOaws5ElXZWLvvJmauOouzEY+h5o7xRJVOIvBeDXqTn69GYmK6vsMQLUNDKaytzZCUlI68PP41rm/Mh3io1QLuPEhBriCBkUSAU31LSJ/b3iE3Lx+HL8Tj91OxSMvMBQA0sjPHmwFOcHe0gURS8lYQ9Or4/SEuusyHjY0ZDAxKN0bFIkuPWGSVjD+0xIX5EJfS5CMzOw9//hOH/WfvISunYI1Ws4aWeKujE5ztrSox2uqP3x/iIpYii9OFRETVlIncEH39HfDfcX7o2aYRjAyluH0/BQs3XcD32y4j9lGqvkMkqtb4WV8iomrOwlSGt7s0RffW9thzIgZ/X3mIq9HPcDX6GVo3r4P+AY6oa2Oq7zCJqh0WWURENYS1hRzDezZHD99G2PV3DM7ceIx/bibg/K0naO9eF33bO6CWpbG+wySqNjhdSERUw9hZm2JMX1fMHdUGnk1rQy0I+PvKQ0wPOYUtB29DlZ6j7xCJqgWOZBER1VD2dcwxcYAHouJTsOPoHdy8l4w/z8Xh2JUHeK2VPXq0aQRTY/6aICorjmQREdVwTRtY4j+DvfBxkCea1LVAdk4+9py8i09XnMS+M7HIyeXu8URlwT9RiIgIEokErg42aNHEGhcin2DHsWg8fJaBXw7fwZ//xOH19g7o4FEPhqX86DoRscgiIqLnSCQS+CjrwKuZLU5df4Tf/o7BM1UWNvxxC/vPxOKNDo7wdbHT2vyUiIrHIouIiIqQSiVo714PbVzscOzyA+w5eRdPkrMQuucGwk/H4s0AR3g2rc3d44lKwCKLiIheyMhQiq4+DeHvXg8Hz8dh3+l7iH+SjqW/XoVTfQXe7OgEl8bW+g6TSJRENbm+b98+vP/++wgICICnpyf69euH7du34/k7/wwbNgxKpbLIvzt37mj1lZqaihkzZqBNmzbw8vLCxIkTkZCQUOSaFy5cQFBQEDw8PNC5c2eEhITg33caEgQBISEh6NSpEzw8PBAUFIRLly7p5D0gIhIjucwAvf2a4L/v+6G3X2PIjKS480CFb7ZcxLdbLyLmoUrfIRKJjqhGstauXYsGDRpg2rRpsLa2xsmTJzFr1iw8evQIEyZM0LTz9vbGp59+qvXchg0baj2eNGkSoqKiMHfuXMjlcvzwww8IDg7Gr7/+CkPDgpcdGxuL0aNHo3379pg0aRJu3bqFb7/9FgYGBhg9erSmr9DQUCxZsgRTp06FUqnEpk2bMGrUKOzatQv29vY6fEeIiMTFzNgIb3V0Qjefhvj9ZCyOXIrHjbtJuHH3HLydbdE/wBENapvpO0wiURBVkbV8+XLY2NhoHvv5+SE5ORlr1qzBBx98AKm0YOBNoVDA09Pzhf1cvHgRx48fR1hYGPz9/QEADg4OCAwMxIEDBxAYGAgACAsLg7W1NRYtWgSZTAY/Pz8kJiZixYoVGDZsGGQyGbKzs7Fy5UqMGjUKI0eOBAD4+PigZ8+eCAsLw9y5c3XyXhARiZmluRxDX3PGa23ssft4DE5ef4QLkU9w8fYT+LnWRT9/B9hameg7TCK9EtV04fMFViEXFxekpaUhIyOj1P0cO3YMCoUC7du31xxzdHSEi4sLjh07ptWua9eukMlkmmOBgYFQqVS4ePEigILpxLS0NPTq1UvTRiaToXv37lp9ERHVRLZWJhjdpwU+H+0LH2dbCAJw8tojzAg5jY0HbiElLVvfIRLpjahGsopz/vx52NnZwdzcXHPs7Nmz8PT0RH5+Plq2bImPPvoIrVu31pyPjo6Gg4NDkU+9ODo6Ijo6GgCQkZGBhw8fwtHRsUgbiUSC6Oho+Pr6atr/u52TkxPWrVuHrKwsGBuX/V5fhoaiqnNFxeB/+/EYcF8eUWA+xEVs+Whc1wIfvd0S0Q9SsP3wHVyLScRfF+Jx/MpDvNamEXr7NYaZiZG+w9QZseWjphNLPkRdZJ07dw7h4eFa669at26Nfv36oUmTJkhISEBYWBjeffddbNiwAV5eXgAAlUoFCwuLIv1ZWlri2rVrAAoWxgMFU4/Pk8lkMDExQUpKiqYvmUwGuVyu1U6hUEAQBKSkpJS5yJJKJbC25tqFl1EoOOUgJsyHuIgtHz7WZvBxrY8rUU+wPjwCt2KT8PvJuzh84T7e7NwMfTs4wlhe8KsnXy3gRvQzJKqyYKMwRgvHWjCo4vtviS0fNZ2+8yHaIuvRo0eYPHkyfH19MXz4cM3xiRMnarXr1KkT+vTpg59++gmhoaGVHWa5qNUCVKrST4PWNAYGUigUJlCpMpGfr9Z3ODUe8yEuYs+HfS1TzHjHGxdvP8X2w1G4/yQdG/ZFYPexO3jdvwkUpjJsPXgbian/P51oYyHH0B5KtG5eR4+Rl43Y81HT6DIfCoVJqUfIRFlkqVQqBAcHw8rKCkuXLtUseC+OqakpOnbsiD/++ENzTKFQ4NGjR0XapqSkwNLSEgA0I12FI1qFcnJykJmZqWmnUCiQk5OD7OxsrdEslUoFiUSiaVdWeXn8ZnyZ/Hw13ycRYT7ERez58HCsBbcmNjgb8Ri//R2DhORMbPwjsti2ianZWLr9Csb3d4OPsuoVWoD481HT6Dsfops8zsrKwtixY5GamopVq1YVO+33Mo6OjoiJiSmy31VMTIxmbZWpqSnq1aunWXP1fBtBEDTtCr/GxMRotYuOjkb9+vXLtR6LiKgmkEolaOtaF/ODffHOa8542SbxWw7ehlotlNyIqAoQVZGVl5eHSZMmITo6GqtWrYKdnd1Ln5ORkYEjR47A3d1dcywgIAApKSk4deqU5lhMTAxu3LiBgIAArXaHDh1Cbm6u5lh4eDgUCoVmfZe3tzfMzc2xb98+TZvc3FwcOHBAqy8iIiqZoYEU9WuZQXhJ/ZSYmo3IuORKiYlIl0Q1XThv3jwcPnwY06ZNQ1pamtau6i1atMCVK1ewatUqdO/eHQ0aNEBCQgLWrFmDJ0+eYPHixZq2Xl5e8Pf3x4wZM/Dpp59CLpfj+++/h1KpxGuvvaZpN3r0aOzZswcff/wxBg8ejMjISISFhWHy5MmabR3kcjnGjh2LpUuXwsbGBs7OztiyZQuSk5O1NiwlIqKXS04v3ZYOpW1HJGaiKrJOnDgBAFi4cGGRc4cOHYKtrS1yc3Px/fffIzk5GSYmJvDy8sK8efPg4eGh1f6HH37AggULMHv2bOTl5cHf3x8zZ87U7PYOAI0bN0ZYWBgWLlyIMWPGwMbGBhMnTsSoUaO0+goODoYgCFi9ejUSExPh4uKCsLAw7vZORPSKrMzkL2/0Cu2IxEwi/HvhElWa/Hw1EhPT9R2GaBkaSmFtbYakpHQuJBUB5kNcqmo+1GoB/1l+EkmpJY9UtXevi3deU0JuZFBJkZVPVc1HdaXLfNjYmJX604WiWpNFRETVm1QqwZBuzV7a7sTVR5i/7hwePOUfolR1scgiIqJK5aOsg/H93WBtoT0laGMhx/j+bvjPYC9YmskQ/zQdn6/7ByevPdRTpETlI6o1WUREVDP4KOvAq5ktIuOSkZyeDSszOZztrSD9347vc0e1Qcju64iITcKq3yNw814yhnZ3rjLTh0QAiywiItITqVSC5o2tiz1naSbDx0Ge+P3kXew6HoPjVx4i5qEKH7zhhnq1eDsyqho4XUhERKIklUrQ198BUwd5QmEmQ/yTdHy+9hxOXSt6Rw8iMWKRRUREoubSxAbz3m0Nl8bWyM7NR+jvN7AmPALZufn6Do2oRCyyiIhI9CzN5fg4yBNv+DtAAuDvKw8xf/05PHzGTx+SeLHIIiKiKuGF04fXOX1I4sQii4iIqpTC6cPmjawKpg/33MDafTeRw+lDEhkWWUREVOVYmssxdZAX+rZvAgmAY5cfcPqQRIdFFhERVUlSqQRvdHDEx4M8oTA1wv3/TR+e5vQhiQSLLCIiqtJaNLHB3FFtNNOHIZw+JJFgkUVERFWeVbHTh+c5fUh6xSKLiIiqhcLpwyma6cM0fL7uHE7f4PQh6QeLLCIiqlZcn58+zMlHyO4bWLef04dU+VhkERFRtfPv6cOjlwqmDx8lZug7NKpBWGQREVG1pJk+DPKExf+mD+et/YfTh1RpWGQREVG15upgg7nvtoHS/v+nD9dz+pAqAYssIiKq9qwt5Jg62BOvtyuYPjxy6QG+3MDpQ9ItFllERFQjGEil6B/w/9OHcQkF04dnbjzWd2hUTbHIIiKiGuXf04crd1/H+j9uITeP04dUsVhkERFRjVM4fdincPrwYjzmrz+Px5w+pArEIouIiGokA6kUbwY4YnJQS5ibFEwfzl37D85GcPqQKgaLLCIiqtHcHGph3qg2cP7f9OGKXZw+pIrBIouIiGo8aws5/jPYE33aNQZQMH345frzeJzE6UMqOxZZREREKJw+dMKUtwumD+8lpGHeGk4fUtmxyCIiInqOm+P/pg8bWiLrf9OHGw5w+pBeHYssIiKif7G2kOM/Q7zQ269g+vDwhXh8uYHTh/RqWGQREREVw0AqxVsdnTC5cPrwccH04T83E/QdGlURLLKIiIhK4O5YC3PfbY1m/5s+XP7bNWx8bvpQrRYQcTcRRy/cR8TdRKjVgp4jJrEw1HcAREREYmejMMYnQ7zw298x2HsqFn9diMedeBU6eNTD3tOxSErN1rS1tpBjSLdm8FHW0WPEJAYcySIiIiqFf08fxj5OxcY/I7UKLABISs3Gsp3XcP4WpxVrOhZZREREr8DdsRZmj2gFQwNJie22HLzNqcMajkUWERHRK3qakoW8/JILqMTUbETGJVdOQCRKLLKIiIheUXJ69ssbvUI7qp5EVWTt27cP77//PgICAuDp6Yl+/fph+/btEATtvxZ++eUX9OjRA+7u7ujbty8OHz5cpK/U1FTMmDEDbdq0gZeXFyZOnIiEhKLz4xcuXEBQUBA8PDzQuXNnhISEFLmeIAgICQlBp06d4OHhgaCgIFy6dKlCXzsREVUdVmbyCm1H1ZOoiqy1a9fCxMQE06ZNw/LlyxEQEIBZs2Zh2bJlmjZ79+7FrFmz0KtXL4SGhsLT0xMTJkwoUvRMmjQJJ06cwNy5c/Htt98iJiYGwcHByMvL07SJjY3F6NGjYWtri5UrV2LEiBFYsmQJVq9erdVXaGgolixZgpEjR2LlypWwtbXFqFGjEBcXp9P3g4iIxMnZ3grWFiUXUFIJYCAted0WVW8S4d/DNnqUmJgIGxsbrWOzZs1CeHg4/vnnH0ilUvTo0QNubm747rvvNG0GDRoECwsLhIaGAgAuXryIQYMGISwsDP7+/gCA6OhoBAYGYtGiRQgMDAQAzJ49G8ePH8f+/fshk8kAAIsWLcKWLVtw4sQJyGQyZGdno127dhg6dCimTJkCAMjJyUHPnj0REBCAuXPnlvn15uerkZiYXubnV3eGhlJYW5shKSkdeXlqfYdT4zEf4sJ86N/5WwlYtvNaiW2kEgne6OCAwLaNIWXBVWl0+f1hY2MGA4PSjVGJaiTr3wUWALi4uCAtLQ0ZGRmIi4vD3bt30atXL602gYGBOHXqFHJycgAAx44dg0KhQPv27TVtHB0d4eLigmPHjmmOHTt2DF27dtUUWIV9qVQqXLx4EUDBdGJaWprWNWUyGbp3767VFxER1Sw+yjoY39+tyIiWjYUc7/VpAd8WdlALAnYci8a3Wy8W2eqBqj/Rb0Z6/vx52NnZwdzcHOfPnwcAODg4aLVxcnJCbm4u4uLi4OTkhOjoaDg4OEAi0f6rwdHREdHR0QCAjIwMPHz4EI6OjkXaSCQSREdHw9fXV9P+3+2cnJywbt06ZGVlwdjYuMyvz9BQVHWuqBT+pVDavxhIt5gPcWE+xMHXtS5au9jhdnwKsvMEyA0laNbAElKpBB1a1oOHUy2s338LN+8lY/bqs3ivjws3Ka0EYvn+EHWRde7cOYSHh+PTTz8FAKSkpAAAFAqFVrvCx4XnVSoVLCwsivRnaWmJa9cKhnZTU1OL7Usmk8HExESrL5lMBrlc+y8VhUIBQRCQkpJS5iJLKpXA2tqsTM+tSRQKE32HQM9hPsSF+RCHWrXMiz3et1Mz+LjWw7cbzyHqfgoW/3IFvdo1wei+bpAbGVRylDWPvr8/RFtkPXr0CJMnT4avry+GDx+u73B0Qq0WoFLxju4vYmAghUJhApUqE/n5XHOib8yHuDAf4lJSPkwNJZgxzAe/HL6Dfadjse/kXVy5/QTj+7ujYZ3iizMqH11+fygUJqUeIRNlkaVSqRAcHAwrKyssXboUUmnBi7G0tARQMApla2ur1f758wqFAo8ePSrSb0pKiqZN4UhX4YhWoZycHGRmZmr1lZOTg+zsbK3RLJVKBYlEomlXVlyw+nL5+Wq+TyLCfIgL8yEuJeVjYCcnuDS2wqrfIxD/JB2zw84iqEtTdPFuUGR5C1UMfX9/iG4yPysrC2PHjkVqaipWrVqlNe1XuC6qcJ1UoejoaBgZGcHe3l7TLiYmpsh+VzExMZo+TE1NUa9evSJ9FT6vsF3h15iYmCLXrF+/frnWYxERUc3i5lALn49qAw+nWsjLV2PTn5FY+utVpGbk6Ds00gFRFVl5eXmYNGkSoqOjsWrVKtjZ2Wmdt7e3R5MmTbB//36t4+Hh4fDz89N8SjAgIAApKSk4deqUpk1MTAxu3LiBgIAAzbGAgAAcOnQIubm5Wn0pFAp4eXkBALy9vWFubo59+/Zp2uTm5uLAgQNafREREZWGwkyGjwZ4YHDXZjA0kOBS1FPMWX0WEbFJ+g6NKpiopgvnzZuHw4cPY9q0aUhLS9PaYLRFixaQyWT48MMPMXXqVDRq1Ai+vr4IDw/HlStXsHHjRk1bLy8v+Pv7Y8aMGfj0008hl8vx/fffQ6lU4rXXXtO0Gz16NPbs2YOPP/4YgwcPRmRkJMLCwjB58mRNwSaXyzF27FgsXboUNjY2cHZ2xpYtW5CcnIzRo0dX2ntDRETVh0QiQffW9lA2ssKKXdfxKDED3265iEC/xujn7wBDfmq0WhDVZqRdunRBfHx8secOHTqEhg0bAii4rU5oaCgePHgABwcHTJkyBZ07d9Zqn5qaigULFuDPP/9EXl4e/P39MXPmzCKjYxcuXMDChQsREREBGxsbDB06FMHBwVrz44W31dm8eTMSExPh4uKC6dOna0a7yoqbkZaMmy2KC/MhLsyHuJQnH9k5+dhyKBLHLj8EADjUU2Bs3xaoY22qi1BrBLFsRiqqIqumYZFVMv4SERfmQ1yYD3GpiHycu5mAtftuIiM7D8YyAwzroYSfa90KjrRmEEuRxfFIIiIiEWjVvA7mjWqDZg0tkZWTj9A9NxC65wYys/Ne/mQSJRZZREREIlHL0hifDPFCP38HSCTAqeuPMG/NP4h5qNJ3aFQGLLKIiIhExEAqRT9/B3w6xBu1FHIkJGfiqw3nEX46Fmqu8KlSWGQRERGJkLO9FeaOaoNWSlvkqwVsP3IH3229xBtNVyEssoiIiETKzNgI77/hhpG9mkNmJEVEbBLmrD6LS1FP9R0alQKLLCIiIhGTSCQIaFkfc0a2RqM65kjLzMWS7Vew6c9I5Obl6zs8KgGLLCIioiqgXi0zfDa8Fbq3KriF3KHz9/HFuvOIf8qtgMSKRRYREVEVYWQoxeBuzTBpoAcsTI1w/0kavlj7D45cjC9yv17SPxZZREREVYyHU218PqoNXJtYIydPjfV/3MJPO68hLTP35U+mSsMii4iIqAqyNJdjcpAn3u7cFAZSCc5HPsGc1Wdx6x5vNC0WLLKIiIiqKKlEgp6+jfDZcB/YWZsgKTUbX2+5iJ3HopGv5u2W9I1FFhERURXXpK4Cc95tDX/3ehAEYM/Ju/jvpot4mpyp79BqNBZZRERE1YCxzBCjertgbF9XmMgNEBWfgjlr/sHZiMf6Dq3GYpFFRERUjfi2sMPcd9vAqYECmdl5WLHrOlbvjUBWDm80XdlYZBEREVUztlYmmDbUG33aNYEEwPGrDzFv7TnEPkrVd2g1CossIiKiashAKsWbAY74ZIgXrC3keJyYgfnrz+GPs/d4o+lKwiKLiIioGlM2ssa8UW3g7Vxwo+mf/4rCD9suIyU9R9+hVXsssoiIiKo5cxMjjO/vhuE9lDAylOJaTCLmhJ3B1ehn+g6tWmORRUREVANIJBJ08mqA2SNaoaGtGVQZufh+22VsPXQbuXlqqNUCbsYm4fSNR7gZmwS1mlOK5WWo7wCIiIio8jSwNcesEa2w7a87OHThPg78E4cLkU+Qk6eG6rkpRGsLOYZ0awYfZR09Rlu1cSSLiIiohjEyNMDQ15wx8S0PGMsM8DQlS6vAAoCk1Gws23kN528l6CnKqo9FFhERUQ3l4VQLciODEttsOXibU4dlxCKLiIiohoqMS37ppwwTU7MRGZdcOQFVMyyyiIiIaqjk9OxStfv16B1ci3nGEa1XxIXvRERENZSVmbxU7e48UGHRz5dhbSFHO7e68HevBzsbUx1HV/WxyCIiIqqhnO2tYG0hR1Lqi0e0FKZG8FHa4mxEApJSs7H3VCz2nopFs4aWaO9eD62b14GJnOVEcfiuEBER1VBSqQRDujXDsp3XXthmWA8lfJR1MKhrM1yKeobjVx7iWswz3L6fgtv3U7D5YCRaKevA370enBtZQSqRVOIrEDeJIPAGRvqSn69GYmK6vsMQLUNDKaytzZCUlI68PLW+w6nxmA9xYT7Eparn4/ytBGw+eFtrRMvGQo7BL9gnKyk1G6euP8LxKw/xKDFDc7y2pTHau9dDe7e6qG1lUimxF0eX+bCxMYOBQemWtLPI0iMWWSWr6j+0qhvmQ1yYD3GpDvlQqwVExiUjOT0bVmZyONtbQSoteVRKEATceaDC8SsP8c/Nx8jMzteca97ICv4e9eCjrPPSbSIqGossYpH1EtXhh1Z1wnyIC/MhLswHkJ2bjwuRT3D8ykPcjE1CYXFhLDNAG5c6aO9eD00bWEJSCdOJYimyuCaLiIiIyk1uZAA/17rwc62LpymZOHntEU5cfYgnyVk4dvkhjl1+CDsbU/i710U7t3qwtijdJxurMo5k6RFHskrGvwzFhfkQF+ZDXJiP4qkFAbfjkgumE28lICe34L2RSADXJjbw96gHr2a1YWRYsdOJHMkiIiKiak0qkUDZyBrKRtYY0t0Z524l4MSVh4i8n4JrMYm4FpMIU7khfFvYwd+jHprUtaiU6cTKwiKLiIiIdM5EbogOHvXRwaM+Hidl4MTVRzh57SESVdk4fDEehy/Go0FtM7R3rwc/t7qwNJPpO+Ry43ShHnG6sGQcfhcX5kNcmA9xYT7KRq0WEBGbhONXH+JC5BPk/u+9k0ok8HCqhfbu9dCyaS0YlnJ6rhCnC4sRGxuLsLAwXL58Gbdv34ajoyN+//13rTbDhg3D2bNnizw3PDwcTk5OmsepqalYsGABDh48iNzcXHTo0AEzZ85EnTra+31cuHAB//3vfxEREYFatWph8ODBCA4O1hquFAQBoaGh2Lx5MxITE+Hi4oLp06fD09OzYt8AIiKiGkQqlcDVwQauDjbIyMrF2YgEHL/6ENEPVLgU9RSXop7C3MQIbV3t4O9eD43sLPQd8isRVZF1+/ZtHD16FC1btoRarcaLBtm8vb3x6aefah1r2LCh1uNJkyYhKioKc+fOhVwuxw8//IDg4GD8+uuvMDQseNmxsbEYPXo02rdvj0mTJuHWrVv49ttvYWBggNGjR2v6Cg0NxZIlSzB16lQolUps2rQJo0aNwq5du2Bvb1/B7wIREVHNY2pshE5eDdDJqwEePE3HiasPcfLaI6Sk5+Dgufs4eO4+GtmZw9+9Htq61oW5iVGx/ajVAiLuJiI3JglGEgFO9S1fut+XrohqulCtVkMqLRiCmzZtGq5du1bsSJapqSlWrlz5wn4uXryIQYMGISwsDP7+/gCA6OhoBAYGYtGiRQgMDAQAzJ49G8ePH8f+/fshkxXM/S5atAhbtmzBiRMnIJPJkJ2djXbt2mHo0KGYMmUKACAnJwc9e/ZEQEAA5s6dW+bXy+nCknH4XVyYD3FhPsSF+dCNfLUa16ITcfzqQ1y6/RT56oKSxUAqgWez2vB3rwc3RxsY/K92KG7nemsLOYa8YOf6sqiy04WFBVZ5HTt2DAqFAu3bt9ccc3R0hIuLC44dO6Ypso4dO4bu3btrCiwACAwMxMqVK3Hx4kX4+vriwoULSEtLQ69evTRtZDIZunfvjj///LNC4iUiIqKiDKRStGxaGy2b1kZaZi5OX3+E41cf4t7jNJy/9QTnbz2BpZkMfm51YW0ux5ZDt4v0kZSajWU7r2F8f7cKK7RKS1RFVmmdPXsWnp6eyM/PR8uWLfHRRx+hdevWmvPR0dFwcHAo8jFQR0dHREdHAwAyMjLw8OFDODo6FmkjkUgQHR0NX19fTft/t3NycsK6deuQlZUFY2PjMr8WQ8OKKSyro8K/FEr7FwPpFvMhLsyHuDAfumdlIUfPto3Rs21j3Hucir8vP9BMJ+4/c++lz99y6DZau9hV6tRhlSuyWrdujX79+qFJkyZISEhAWFgY3n33XWzYsAFeXl4AAJVKBQuLoovjLC0tce1awZ3GU1NTAQAKhUKrjUwmg4mJCVJSUjR9yWQyyOXaO9MqFAoIgoCUlJQyF1lSqQTW1mZlem5NolDo7yajVBTzIS7Mh7gwH5XD2toMLZvXxdi31DgX8Qg7j0Qh4m5Sic9JVGXjQVIW3JvWrqQoq2CRNXHiRK3HnTp1Qp8+ffDTTz8hNDRUT1GVjVotQKXKeHnDGsrAQAqFwgQqVSby87nGQd+YD3FhPsSF+dCf5g0t0cmzwUuLLACIe5iChrXKVwgrFCZVc01WWZiamqJjx474448/NMcUCgUePXpUpG1KSgosLS0BQDPSVTiiVSgnJweZmZmadgqFAjk5OcjOztYazVKpVJBIJJp2ZcUFki+Xn6/m+yQizIe4MB/iwnzoh8ULPmlYXLvKzE+1nDx2dHRETExMkS0gYmJiNGurTE1NUa9ePc2aq+fbCIKgaVf4NSYmRqtddHQ06tevX671WERERFR+zvZWL73htI2FHM72VpUT0P9U+SIrIyMDR44cgbu7u+ZYQEAAUlJScOrUKc2xmJgY3LhxAwEBAVrtDh06hNzcXM2x8PBwKBQKzfoub29vmJubY9++fZo2ubm5OHDggFZfREREpB9SqQRDujUrsc3gbs0qfb8sUU0XZmZm4ujRowCA+Ph4pKWlYf/+/QCANm3aIDo6GqtWrUL37t3RoEEDJCQkYM2aNXjy5AkWL16s6cfLywv+/v6YMWMGPv30U8jlcnz//fdQKpV47bXXNO1Gjx6NPXv24OOPP8bgwYMRGRmJsLAwTJ48WbOtg1wux9ixY7F06VLY2NjA2dkZW7ZsQXJystaGpURERKQ/Pso6GN/frcg+WTYWcgyuwH2yXoWoNiO9f/8+unbtWuy59evXo27duvj8889x69YtJCcnw8TEBF5eXpgwYQI8PDy02hfeVufPP/9EXl4e/P39MXPmTNjZ2Wm1u3DhAhYuXIiIiAjY2Nhg6NChxd5WJyQkpMhtdQpHu8qKm5GWjJv7iQvzIS7Mh7gwH+KhVgu48yAFuYJEJzu+v8pmpKIqsmoaFlkl4w8tcWE+xIX5EBfmQ1zEcoPoKr8mi4iIiEiMWGQRERER6QCLLCIiIiIdYJFFREREpAMssoiIiIh0gEUWERERkQ6wyCIiIiLSARZZRERERDrAIouIiIhIB7jjux4JggC1mm9/SQwMpMjP5+7JYsF8iAvzIS7Mh7joKh9SqUTr1nslYZFFREREpAOcLiQiIiLSARZZRERERDrAIouIiIhIB1hkEREREekAiywiIiIiHWCRRURERKQDLLKIiIiIdIBFFhEREZEOsMgiIiIi0gEWWUREREQ6wCKLiIiISAdYZBERERHpAIssIiIiIh1gkUWism/fPrz//vsICAiAp6cn+vXrh+3bt0MQBH2HRgDS09MREBAApVKJq1ev6jucGmvnzp1444034O7uDl9fX7z33nvIysrSd1g10qFDhzBw4EB4eXnB398fH330EeLi4vQdVo0RGxuL2bNno1+/fmjRogX69OlTbLtffvkFPXr0gLu7O/r27YvDhw9XSnwsskhU1q5dCxMTE0ybNg3Lly9HQEAAZs2ahWXLluk7NALw008/IT8/X99h1GjLly/HF198gcDAQISFheHzzz9Hw4YNmRc9OHPmDCZMmICmTZti2bJlmDFjBm7evIlRo0ax6K0kt2/fxtGjR9G4cWM4OTkV22bv3r2YNWsWevXqhdDQUHh6emLChAm4dOmS7gMUiETk2bNnRY7NnDlT8Pb2FvLz8/UQERWKiooSPD09hS1btgjOzs7ClStX9B1SjXPnzh2hRYsWwpEjR/QdCgmCMGvWLKFLly6CWq3WHDt16pTg7Ows/PPPP3qMrOZ4/vfCp59+KvTu3btIm9dee02YMmWK1rGgoCDhvffe03l8HMkiUbGxsSlyzMXFBWlpacjIyNBDRFRo/vz5GDRoEBwcHPQdSo21Y8cONGzYEB07dtR3KAQgLy8PZmZmkEgkmmMWFhYAwCUOlUQqLbmMiYuLw927d9GrVy+t44GBgTh16hRycnJ0GR6nC0n8zp8/Dzs7O5ibm+s7lBpr//79iIyMxPjx4/UdSo12+fJlODs746effoKfnx/c3NwwaNAgXL58Wd+h1Uhvvvkm7ty5g02bNiE1NRVxcXFYtGgRWrRoAW9vb32HRwCio6MBoMgfh05OTsjNzdX5+jkWWSRq586dQ3h4OEaNGqXvUGqszMxMLFy4EJMnT2ahq2dPnjzB8ePHsWvXLsyZMwfLli2DRCLBqFGj8OzZM32HV+O0atUKP/74I7777ju0atUK3bp1w7NnzxAaGgoDAwN9h0cAUlJSAAAKhULreOHjwvO6wiKLROvRo0eYPHkyfH19MXz4cH2HU2MtX74ctWrVwltvvaXvUGo8QRCQkZGBxYsXo2fPnujYsSOWL18OQRCwceNGfYdX41y4cAGffPIJ3n77baxbtw6LFy+GWq3GmDFjuPCdAACG+g6AqDgqlQrBwcGwsrLC0qVLXzrvTroRHx+P1atXY9myZUhNTQUAzdq4jIwMpKenw8zMTJ8h1igKhQJWVlZo3ry55piVlRVatGiBqKgoPUZWM82fPx9t27bFtGnTNMc8PT3RqVMn7Nq1C0FBQXqMjgDA0tISAJCamgpbW1vNcZVKpXVeV1hkkehkZWVh7NixSE1Nxc8//6xZSEqV7/79+8jNzcWYMWOKnBs+fDhatmyJbdu26SGymqlp06a4d+9eseeys7MrORq6c+cOunbtqnWsbt26sLa2fmGeqHI5OjoCKFibVfjfhY+NjIxgb2+v0+uzyCJRycvLw6RJkxAdHY1NmzbBzs5O3yHVaC4uLli/fr3WsYiICCxYsADz5s2Du7u7niKrmTp37owdO3YgIiICLi4uAICkpCRcv34dI0eO1G9wNVD9+vVx48YNrWPx8fFISkpCgwYN9BQVPc/e3h5NmjTB/v370a1bN83x8PBw+Pn5QSaT6fT6LLJIVObNm4fDhw9j2rRpSEtL09osrkWLFjr/hiBtCoUCvr6+xZ5zdXWFq6trJUdUs3Xr1g3u7u6YOHEiJk+eDLlcjpCQEMhkMgwZMkTf4dU4gwYNwldffYX58+ejS5cuSE5O1qxh/PeWAaQbmZmZOHr0KICCAjctLQ379+8HALRp0wY2Njb48MMPMXXqVDRq1Ai+vr4IDw/HlStXKmUdo0TgZh4kIl26dEF8fHyx5w4dOoSGDRtWckT0b2fOnMHw4cOxfft2jmTpQWJiIhYsWIDDhw8jNzcXrVq1wvTp09G0aVN9h1bjCIKArVu3YsuWLYiLi4OZmRk8PT0xefLkF+4+ThXr/v37RaZsC61fv17zR+Ivv/yC0NBQPHjwAA4ODpgyZQo6d+6s8/hYZBERERHpAD+yRURERKQDLLKIiIiIdIBFFhEREZEOsMgiIiIi0gEWWUREREQ6wCKLiIiISAdYZBERERHpAIssIiIiIh1gkUVEenPmzBkolUrNbTDE7unTp5g4cSJ8fX2hVCqxdu3aCul36dKlUCqVFdJXVfPw4UO4u7vj/PnzmmPDhg1Dnz59Snxebm4uOnbsiE2bNuk6RKIyY5FFVM3t2LEDSqUS7u7uePz4cZHzpfmFRgUWLFiAv//+G2PGjMHXX3+NDh06lNg+Ozsba9euxcCBA+Hj4wN3d3f06NEDn3/+OWJiYiopamDPnj0VVhBWtGXLlqFly5bw8fF5pecZGRnh3XffxYoVK5Cdna2j6IjKh0UWUQ2Rk5ODkJAQfYdRpZ0+fRpdu3bF6NGj0a9fvxLvT5eYmIjBgwdjwYIFqFWrFiZOnIjZs2eja9eu+Ouvv/D6669XWty///471q9fX2nXK63ExET89ttvGDRoUJme/+abbyIpKQl79uyp4MiIKoahvgMgosrh4uKCbdu2YcyYMbCzs9N3OJUqIyMDpqam5e7n2bNnUCgUpWo7ffp0REREYMmSJejRo4fWuUmTJuH7778vdzz6pFarkZubC7lcXuY+du/eDQMDgzLfqFehUMDf3x87d+7EgAEDyhwHka5wJIuohhg7dizUajVCQ0NLbHf//n0olUrs2LGjyDmlUomlS5dqHheuJYqJicHUqVPh4+ODtm3b4ocffoAgCHj48CHef/99eHt7o3379li9enWx11Sr1Vi0aBHat28PT09PjBs3Dg8fPizS7vLlyxg9ejR8fHzQsmVLvPPOO1preZ6PKSoqCh9//DFat26NIUOGlPia4+LiMHHiRLRp0wYtW7bE22+/jSNHjmjOF065CoKATZs2QalUlriG6vLlyzhy5AgGDBhQpMACAJlMhk8//fSFz3+VHKSlpeHLL79Ely5d4ObmBj8/P7z77ru4fv06gILp4CNHjiA+Pl4Td5cuXTTPz8nJwZIlS9C9e3e4ubmhY8eO+Prrr5GTk1Pkup9//jl2796N3r17w93dHX///TcAYO/evXjzzTfh5eUFb29vvP7661i3bt0LX1+hgwcPwsPDA2ZmZi9te/z4cbRs2RJTpkxBXl6e5ni7du1w/vx5JCcnv7QPosrGkSyiGqJhw4bo168ftm3bhuDg4AodzZo8eTKcnJzw8ccf4+jRo1i+fDmsrKywdetWtG3bFlOnTsWePXvw3//+F+7u7mjdurXW85cvXw6JRILg4GA8e/YM69atw8iRI7Fr1y4YGxsDAE6dOoXg4GC4ublhwoQJkEgk2LFjB0aMGIHNmzfDw8NDq8+PPvoIjRs3xuTJkyEIwgtjf/r0KQYNGoTMzEwMGzYM1tbW2LlzJ95//31N8dG6dWt8/fXX+OSTT9C+fXv069evxPfjr7/+AoCXtqsIc+bMwR9//IF33nkHTk5OSE5Oxvnz53Hnzh24urpi3LhxSE1NxaNHjzB9+nQA0BQ1arUa77//Ps6fP4+3334bTk5OiIyMxLp163D37l389NNPWtc6ffo09u3bh6FDh8La2hoNGjTAiRMnMGXKFPj5+WHq1KkAgOjoaFy4cAEjRox4Ydy5ubm4evUqBg8e/NLXePjwYUycOBGBgYH46quvYGBgoDnn6uoKQRBw8eLFMo+IEekKiyyiGuT999/Hrl27EBoaipkzZ1ZYvx4eHvj8888BAEFBQejSpQsWLlyIKVOmYMyYMQCAPn36oEOHDvj111+LFFkpKSkIDw+Hubk5AKBFixaYNGkStm3bhuHDh0MQBMydOxe+vr5YtWoVJBIJAGDQoEHo3bs3fvjhhyKjZM2bN8d333330thDQkLw9OlTbNq0Ca1atQIADBw4EH379sWCBQvQtWtX2Nvbw97eHp988gmaNGny0uLpzp07AABnZ+eXXr+8jh49irfffhvTpk3THAsODtb8d/v27bF+/XqoVKoice/ZswcnT57Ehg0bNK8dAJo1a4Y5c+bgwoUL8Pb21hyPiYnBnj170LRpU82xL7/8Eubm5ggLC9Mqfl7m4cOHyMrKQsOGDUtsd+DAAUyZMgX9+/fHvHnzIJVqT8DY29sDAKKiolhkkehwupCoBrG3t0ffvn2xbds2JCQkVFi/z6+HMTAwgJubGwRB0DquUCjg4OCAuLi4Is9/4403NAUWAPTs2RO2trY4evQoACAiIgJ3797F66+/jqSkJCQmJiIxMREZGRnw8/PDP//8A7VardVnaRdTHz16FB4eHlpFhpmZGYKCghAfH4+oqKjSvQnPSUtL0/SjawqFApcvXy72k6Mvs3//fjg5OcHR0VHzniYmJqJt27YACrbYeF7r1q21CqzC62dmZuLEiROvdO3C6b2S1rj9/vvvmDx5MoKCgvD5558XKbAAwNLSEgCQlJT0StcnqgwcySKqYT744APs3r0bISEhFTaaVb9+fa3HFhYWkMvlsLGxKXK8uLUzjRs31noskUjQuHFjxMfHAwDu3r0LACWuY0pNTdX8wgXw0hGSQg8ePEDLli2LHHd0dNScf9URqcKCMT09vdQL5ctq6tSpmDZtGjp16gRXV1d07NgRb7zxhmaEpySxsbG4c+cO/Pz8ij3/7NkzrcfFvadDhgzBvn37NFPQ7du3R69evRAQEFCq+F80lXv//n385z//Qc+ePTFr1qyXPr9wdJNITFhkEdUwz49mFU7lPe9Fv6zy8/Nf2GdxIwwvmjoqaX3UixQ+55NPPoGLi0uxbf796cHyfOqtvAoLtMjISK0RstJ6lRwEBgaiVatW+PPPP3HixAmEhYUhNDQUS5cuRceOHUu8jlqthrOzs2at1r/VrVtX63Hh+rjn1apVC7/99huOHz+OY8eO4dixY9ixYwfeeOMN/Pe//33hta2srAAAKpWq2PO2traa0cyrV6/C3d292HYpKSkAAGtr6xdei0hfWGQR1UDvv/8+du/eXewnDQtHg/79y+/Bgwc6iyc2NlbrsSAIiI2N1XyCr3BUxtzcHO3atavQa9evX7/YjUGjo6M1519V586dsXLlSuzevbtMRdar5qBOnToYOnQohg4dimfPnqF///5YsWKFpsh6UdHWqFEj3Lx5E35+fuUaCZLJZOjSpQu6dOkCtVqNuXPn4ueff8YHH3xQZJSyUL169WBsbIz79+8Xe14ul2PlypUYMWIE3nvvPWzcuBHNmjUr0q7w+SXtWUakL1yTRVQDNWrUCH379sXPP/+MJ0+eaJ0zNzeHtbU1zp07p3V88+bNOovnt99+06xjAgrWCj158kQz5eTm5oZGjRph9erVSE9PL/L8xMTEMl+7Y8eOuHLlCi5evKg5lpGRgW3btqFBgwZF1iCVhpeXFzp06IBffvkFBw8eLHI+JyenxFGe0uYgPz8fqampWsdq1aqFOnXqaG3BYGJiUqQdAPTq1QuPHz/Gtm3bipzLyspCRkbGC2Ms9O+1UFKpVFMc/3sbiOcZGRnBzc0N165de2EbCwsLrFq1CrVq1cK7776Le/fuFWlz/fp1SCQSeHp6vjRWosrGkSyiGmrcuHHYtWsXYmJiiowQDBw4ECEhIfjss8/g5uaGc+fO6fQ2MJaWlhgyZAjefPNNzRYOjRs3xttvvw2g4Bf3/PnzERwcjD59+uDNN9+EnZ0dHj9+jDNnzsDc3BwrVqwo07XHjBmDvXv3Ijg4GMOGDYOlpSV+++033L9/H0uXLi12KrQ0vv76a4waNQoTJkxA586d4efnBxMTE8TGxiI8PBwJCQklrjErTQ7S09PRsWNH9OjRA82bN4epqSlOnjyJq1evan3a0NXVFeHh4ViwYAHc3d1hamqKLl26oF+/fti3bx/mzJmDM2fOwNvbG/n5+YiOjsb+/fuxatWqF07TFZo5cyZSUlLQtm1b2NnZ4cGDB9i4cSNcXFxeOrrUtWtXfP/990hLS9P64MPzbGxssGbNGgwePBgjR47Eli1btLYfOXnyJLy9vTldSKLEIouohmrcuDH69u2LnTt3Fjk3fvx4JCYm4o8//sC+ffsQEBCAVatWvXCBdHmNGzcOt27dQkhICNLT0+Hn54c5c+bAxMRE08bX1xc///wzfvrpJ2zcuBEZGRmwtbWFh4cHgoKCynzt2rVrY+vWrfjmm2+wceNGZGdnQ6lUYsWKFejUqVOZ+7WxscHWrVuxefNmhIeH4/vvv0dubi4aNGiALl26YPjw4SU+vzQ5MDY2xuDBg3HixAkcOHAAgiCgUaNGmDNnjtYGrEOGDEFERAR27NiBtWvXamKQSqVYtmwZ1q5di127duHPP/+EiYkJGjZsiGHDhsHBweGlr7Nwfd/mzZuhUqlga2uLXr164cMPP3xpgdqvXz989913OHToUInbYtjZ2WHt2rUYMmQI3n33XWzcuBE2NjZITU3F8ePHMWfOnJfGSaQPEqEsq1CJiIgqwIwZM3D37t0yTUevXbsWq1atwsGDB4tdlE+kb1yTRUREejNhwgRcvXq1yO2RXiY3Nxdr167F+++/zwKLRIsjWUREREQ6wJEsIiIiIh1gkUVERESkAyyyiIiIiHSARRYRERGRDrDIIiIiItIBFllEREREOsAii4iIiEgHWGQRERER6QCLLCIiIiIdYJFFREREpAP/B4sobsZxQ0wxAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        " If we use the elbow method, we observe that the results of the k-means algorithm point to two, four, or nine different clusters. These results differ from the eight clusters found by the hierarchical clustering with the elbow method.\n",
        "\n",
        "In this case, we’ll opt for the hierarchical clustering results and apply them in the k-means—i.e., perform k-means clustering with eight clusters and analyze the resulting clusters using a summary table."
      ],
      "metadata": {
        "id": "gd18ia6gubSz"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# KMeans algorithm is initialized here with 8 clusters.\n",
        "kmeans = KMeans(n_clusters = 8, init = 'k-means++', random_state = 42, n_init=10)"
      ],
      "metadata": {
        "id": "0ut_feH-v6Fp"
      },
      "execution_count": 142,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Fitting the standardized data to the KMeans algorithm with 8 clusters.\n",
        "kmeans.fit(df_std)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 75
        },
        "id": "bIyy7nyjwBME",
        "outputId": "ea514bc3-e29e-4c74-9c42-af7913fb61ce"
      },
      "execution_count": 143,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "KMeans(n_init=10, random_state=42)"
            ],
            "text/html": [
              "<style>#sk-container-id-3 {color: black;background-color: white;}#sk-container-id-3 pre{padding: 0;}#sk-container-id-3 div.sk-toggleable {background-color: white;}#sk-container-id-3 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-3 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-3 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-3 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-3 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-3 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-3 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-3 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-3 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-3 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-3 div.sk-item {position: relative;z-index: 1;}#sk-container-id-3 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-3 div.sk-item::before, #sk-container-id-3 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-3 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-3 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-3 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-3 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-3 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-3 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-3 div.sk-label-container {text-align: center;}#sk-container-id-3 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-3 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(n_init=10, random_state=42)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMeans</label><div class=\"sk-toggleable__content\"><pre>KMeans(n_init=10, random_state=42)</pre></div></div></div></div></div>"
            ]
          },
          "metadata": {},
          "execution_count": 143
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## Model Interpretation and Results"
      ],
      "metadata": {
        "id": "qCLmRb1TvTlG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Creating a copy of the original 'df' dataframe to avoid modifying it directly.\n",
        "df_segm_kmeans = df.copy()\n",
        "\n",
        "# Assigning the cluster labels generated by k-means to a new column named 'Segment' in the copied dataframe.\n",
        "df_segm_kmeans['Segment'] = kmeans.labels_"
      ],
      "metadata": {
        "id": "EAxrdXq8waKf"
      },
      "execution_count": 144,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Grouping the dataframe by the 'Segment' column and calculating the mean for each segment.\n",
        "# This provides a profile for each cluster based on the mean values of the original features.\n",
        "df_segm_analysis = df_segm_kmeans.groupby(['Segment']).mean()\n",
        "\n",
        "# Displaying the segmented analysis\n",
        "df_segm_analysis"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 332
        },
        "id": "c0Amlosdwzrw",
        "outputId": "2613f4a4-832f-48ec-a06a-70ae197d27e4"
      },
      "execution_count": 145,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "         minutes_watched         CLV  region_0  region_1  region_2  channel_1  \\\n",
              "Segment                                                                         \n",
              "0            1589.376923  107.368708  0.290769  0.107692  0.601538        0.0   \n",
              "1            2397.181658  104.035520  0.017637  0.005291  0.977072        0.0   \n",
              "2            2006.190377  113.654038  0.257322  0.112971  0.629707        0.0   \n",
              "3            2767.643791  108.260359  0.287582  0.101307  0.611111        0.0   \n",
              "4            1810.359165  121.154173  0.390462  0.120715  0.488823        1.0   \n",
              "5            2314.083333  123.189965  0.513889  0.138889  0.347222        0.0   \n",
              "6            1299.332180  115.180277  0.311419  0.190311  0.498270        0.0   \n",
              "7            1523.389744  149.729214  0.779487  0.217094  0.003419        0.0   \n",
              "\n",
              "         channel_2  channel_3  channel_4  channel_5  channel_6  channel_7  \\\n",
              "Segment                                                                     \n",
              "0              0.0   0.000000        1.0   0.000000        0.0        0.0   \n",
              "1              0.0   0.897707        0.0   0.102293        0.0        0.0   \n",
              "2              0.0   0.000000        0.0   0.000000        0.0        1.0   \n",
              "3              1.0   0.000000        0.0   0.000000        0.0        0.0   \n",
              "4              0.0   0.000000        0.0   0.000000        0.0        0.0   \n",
              "5              0.0   0.000000        0.0   0.000000        0.0        0.0   \n",
              "6              0.0   0.000000        0.0   0.000000        1.0        0.0   \n",
              "7              0.0   1.000000        0.0   0.000000        0.0        0.0   \n",
              "\n",
              "         channel_8  \n",
              "Segment             \n",
              "0              0.0  \n",
              "1              0.0  \n",
              "2              0.0  \n",
              "3              0.0  \n",
              "4              0.0  \n",
              "5              1.0  \n",
              "6              0.0  \n",
              "7              0.0  "
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              "      <th></th>\n",
              "      <th>minutes_watched</th>\n",
              "      <th>CLV</th>\n",
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              "      <th>region_2</th>\n",
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              "    <tr>\n",
              "      <th>Segment</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
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              "      <th>0</th>\n",
              "      <td>1589.376923</td>\n",
              "      <td>107.368708</td>\n",
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              "      <td>0.107692</td>\n",
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              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>2397.181658</td>\n",
              "      <td>104.035520</td>\n",
              "      <td>0.017637</td>\n",
              "      <td>0.005291</td>\n",
              "      <td>0.977072</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.897707</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.102293</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>2006.190377</td>\n",
              "      <td>113.654038</td>\n",
              "      <td>0.257322</td>\n",
              "      <td>0.112971</td>\n",
              "      <td>0.629707</td>\n",
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              "      <td>1.0</td>\n",
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              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>2767.643791</td>\n",
              "      <td>108.260359</td>\n",
              "      <td>0.287582</td>\n",
              "      <td>0.101307</td>\n",
              "      <td>0.611111</td>\n",
              "      <td>0.0</td>\n",
              "      <td>1.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>1810.359165</td>\n",
              "      <td>121.154173</td>\n",
              "      <td>0.390462</td>\n",
              "      <td>0.120715</td>\n",
              "      <td>0.488823</td>\n",
              "      <td>1.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
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              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>2314.083333</td>\n",
              "      <td>123.189965</td>\n",
              "      <td>0.513889</td>\n",
              "      <td>0.138889</td>\n",
              "      <td>0.347222</td>\n",
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              "      <td>0.0</td>\n",
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              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>1299.332180</td>\n",
              "      <td>115.180277</td>\n",
              "      <td>0.311419</td>\n",
              "      <td>0.190311</td>\n",
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              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>1523.389744</td>\n",
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              "</div>\n",
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              "      display:flex;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
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              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
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              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
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              "\n",
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              "    }\n",
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              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
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              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
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              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
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              "      buttonEl.style.display =\n",
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              "\n",
              "      async function convertToInteractive(key) {\n",
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              "        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",
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              "\n",
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              "\n",
              "  [theme=dark] .colab-df-quickchart {\n",
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              "      --disabled-fill-color: #666;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart {\n",
              "    background-color: var(--bg-color);\n",
              "    border: none;\n",
              "    border-radius: 50%;\n",
              "    cursor: pointer;\n",
              "    display: none;\n",
              "    fill: var(--fill-color);\n",
              "    height: 32px;\n",
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              "    width: 32px;\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart:hover {\n",
              "    background-color: var(--hover-bg-color);\n",
              "    box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "    fill: var(--button-hover-fill-color);\n",
              "  }\n",
              "\n",
              "  .colab-df-quickchart-complete:disabled,\n",
              "  .colab-df-quickchart-complete:disabled:hover {\n",
              "    background-color: var(--disabled-bg-color);\n",
              "    fill: var(--disabled-fill-color);\n",
              "    box-shadow: none;\n",
              "  }\n",
              "\n",
              "  .colab-df-spinner {\n",
              "    border: 2px solid var(--fill-color);\n",
              "    border-color: transparent;\n",
              "    border-bottom-color: var(--fill-color);\n",
              "    animation:\n",
              "      spin 1s steps(1) infinite;\n",
              "  }\n",
              "\n",
              "  @keyframes spin {\n",
              "    0% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "      border-left-color: var(--fill-color);\n",
              "    }\n",
              "    20% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    30% {\n",
              "      border-color: transparent;\n",
              "      border-left-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    40% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-top-color: var(--fill-color);\n",
              "    }\n",
              "    60% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "    }\n",
              "    80% {\n",
              "      border-color: transparent;\n",
              "      border-right-color: var(--fill-color);\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
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              "        document.querySelector('#df-cc49b312-5ec5-492a-860d-6f96776841c3 button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "    </div>\n",
              "  </div>\n"
            ]
          },
          "metadata": {},
          "execution_count": 145
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Counting the number of observations in each segment.\n",
        "# This is done by grouping by 'Segment' and counting the occurrences.\n",
        "# 'Region_0' is used arbitrarily to count, as it exists in each segment.\n",
        "df_segm_analysis['N Obs'] = df_segm_kmeans[['Segment','region_0']].groupby(['Segment']).count()\n",
        "\n",
        "# Calculating the proportion of observations in each segment.\n",
        "# This is done by dividing the number of observations in a segment by the total number of observations.\n",
        "df_segm_analysis['Prop Obs'] = df_segm_analysis['N Obs'] / df_segm_analysis['N Obs'].sum()"
      ],
      "metadata": {
        "id": "bjlNRlqvxaS4"
      },
      "execution_count": 146,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Rounding the dataframe values to 2 decimal places for cleaner presentation.\n",
        "df_segm_analysis.round(2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 332
        },
        "id": "0daDioKlxo_c",
        "outputId": "9364ff16-b915-4e25-8403-8aaaf6199088"
      },
      "execution_count": 147,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "         minutes_watched     CLV  region_0  region_1  region_2  channel_1  \\\n",
              "Segment                                                                     \n",
              "0                1589.38  107.37      0.29      0.11      0.60        0.0   \n",
              "1                2397.18  104.04      0.02      0.01      0.98        0.0   \n",
              "2                2006.19  113.65      0.26      0.11      0.63        0.0   \n",
              "3                2767.64  108.26      0.29      0.10      0.61        0.0   \n",
              "4                1810.36  121.15      0.39      0.12      0.49        1.0   \n",
              "5                2314.08  123.19      0.51      0.14      0.35        0.0   \n",
              "6                1299.33  115.18      0.31      0.19      0.50        0.0   \n",
              "7                1523.39  149.73      0.78      0.22      0.00        0.0   \n",
              "\n",
              "         channel_2  channel_3  channel_4  channel_5  channel_6  channel_7  \\\n",
              "Segment                                                                     \n",
              "0              0.0        0.0        1.0        0.0        0.0        0.0   \n",
              "1              0.0        0.9        0.0        0.1        0.0        0.0   \n",
              "2              0.0        0.0        0.0        0.0        0.0        1.0   \n",
              "3              1.0        0.0        0.0        0.0        0.0        0.0   \n",
              "4              0.0        0.0        0.0        0.0        0.0        0.0   \n",
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              "7              0.0        1.0        0.0        0.0        0.0        0.0   \n",
              "\n",
              "         channel_8  N Obs  Prop Obs  \n",
              "Segment                              \n",
              "0              0.0    650      0.17  \n",
              "1              0.0    567      0.15  \n",
              "2              0.0    478      0.12  \n",
              "3              0.0    306      0.08  \n",
              "4              0.0    671      0.18  \n",
              "5              1.0    288      0.08  \n",
              "6              0.0    289      0.08  \n",
              "7              0.0    585      0.15  "
            ],
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              "      <th></th>\n",
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              "                                                    [key], {});\n",
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              "        const docLinkHtml = 'Like what you see? Visit the ' +\n",
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              "          + ' to learn more about interactive tables.';\n",
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              "\n",
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              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
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              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
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              "  </script>\n",
              "</div>\n",
              "    </div>\n",
              "  </div>\n"
            ]
          },
          "metadata": {},
          "execution_count": 147
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Renaming the index labels (which are segment numbers) with more descriptive names.\n",
        "# This provides a more interpretable profile for each cluster.\n",
        "df_segm_analysis.rename({0:'Instagram Explorers',\n",
        "                         1:'LinkedIn Networkers',\n",
        "                         2:'Friends\\' Influence',\n",
        "                         3:'Google-YouTube Mix',\n",
        "                         4:'Anglo-Saxon Multi-Channel',\n",
        "                         5:'European Multi-Channel',\n",
        "                         6:'Twitter Devotees',\n",
        "                         7:'Facebook Followers',\n",
        "                        })"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 332
        },
        "id": "SQyITdDAywxA",
        "outputId": "c0eaa95e-4ea3-4ad1-db08-d77816603e1d"
      },
      "execution_count": 148,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "                           minutes_watched         CLV  region_0  region_1  \\\n",
              "Segment                                                                      \n",
              "Instagram Explorers            1589.376923  107.368708  0.290769  0.107692   \n",
              "LinkedIn Networkers            2397.181658  104.035520  0.017637  0.005291   \n",
              "Friends' Influence             2006.190377  113.654038  0.257322  0.112971   \n",
              "Google-YouTube Mix             2767.643791  108.260359  0.287582  0.101307   \n",
              "Anglo-Saxon Multi-Channel      1810.359165  121.154173  0.390462  0.120715   \n",
              "European Multi-Channel         2314.083333  123.189965  0.513889  0.138889   \n",
              "Twitter Devotees               1299.332180  115.180277  0.311419  0.190311   \n",
              "Facebook Followers             1523.389744  149.729214  0.779487  0.217094   \n",
              "\n",
              "                           region_2  channel_1  channel_2  channel_3  \\\n",
              "Segment                                                                \n",
              "Instagram Explorers        0.601538        0.0        0.0   0.000000   \n",
              "LinkedIn Networkers        0.977072        0.0        0.0   0.897707   \n",
              "Friends' Influence         0.629707        0.0        0.0   0.000000   \n",
              "Google-YouTube Mix         0.611111        0.0        1.0   0.000000   \n",
              "Anglo-Saxon Multi-Channel  0.488823        1.0        0.0   0.000000   \n",
              "European Multi-Channel     0.347222        0.0        0.0   0.000000   \n",
              "Twitter Devotees           0.498270        0.0        0.0   0.000000   \n",
              "Facebook Followers         0.003419        0.0        0.0   1.000000   \n",
              "\n",
              "                           channel_4  channel_5  channel_6  channel_7  \\\n",
              "Segment                                                                 \n",
              "Instagram Explorers              1.0   0.000000        0.0        0.0   \n",
              "LinkedIn Networkers              0.0   0.102293        0.0        0.0   \n",
              "Friends' Influence               0.0   0.000000        0.0        1.0   \n",
              "Google-YouTube Mix               0.0   0.000000        0.0        0.0   \n",
              "Anglo-Saxon Multi-Channel        0.0   0.000000        0.0        0.0   \n",
              "European Multi-Channel           0.0   0.000000        0.0        0.0   \n",
              "Twitter Devotees                 0.0   0.000000        1.0        0.0   \n",
              "Facebook Followers               0.0   0.000000        0.0        0.0   \n",
              "\n",
              "                           channel_8  N Obs  Prop Obs  \n",
              "Segment                                                \n",
              "Instagram Explorers              0.0    650  0.169536  \n",
              "LinkedIn Networkers              0.0    567  0.147887  \n",
              "Friends' Influence               0.0    478  0.124674  \n",
              "Google-YouTube Mix               0.0    306  0.079812  \n",
              "Anglo-Saxon Multi-Channel        0.0    671  0.175013  \n",
              "European Multi-Channel           1.0    288  0.075117  \n",
              "Twitter Devotees                 0.0    289  0.075378  \n",
              "Facebook Followers               0.0    585  0.152582  "
            ],
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              "    }\n",
              "    90% {\n",
              "      border-color: transparent;\n",
              "      border-bottom-color: var(--fill-color);\n",
              "    }\n",
              "  }\n",
              "</style>\n",
              "\n",
              "  <script>\n",
              "    async function quickchart(key) {\n",
              "      const quickchartButtonEl =\n",
              "        document.querySelector('#' + key + ' button');\n",
              "      quickchartButtonEl.disabled = true;  // To prevent multiple clicks.\n",
              "      quickchartButtonEl.classList.add('colab-df-spinner');\n",
              "      try {\n",
              "        const charts = await google.colab.kernel.invokeFunction(\n",
              "            'suggestCharts', [key], {});\n",
              "      } catch (error) {\n",
              "        console.error('Error during call to suggestCharts:', error);\n",
              "      }\n",
              "      quickchartButtonEl.classList.remove('colab-df-spinner');\n",
              "      quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
              "    }\n",
              "    (() => {\n",
              "      let quickchartButtonEl =\n",
              "        document.querySelector('#df-405c2f4d-b2f2-4535-b7ea-a4e768f9ca1e button');\n",
              "      quickchartButtonEl.style.display =\n",
              "        google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "    })();\n",
              "  </script>\n",
              "</div>\n",
              "    </div>\n",
              "  </div>\n"
            ]
          },
          "metadata": {},
          "execution_count": 148
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Mapping the cluster numbers (Segment) to more human-readable labels using a dictionary.\n",
        "# This helps in interpreting the clusters in plots and other visualizations.\n",
        "df_segm_kmeans['Labels'] = df_segm_kmeans['Segment'].map({0:'Instagram Explorers',\n",
        "                         1:'LinkedIn Networkers',\n",
        "                         2:'Friends\\' Influence',\n",
        "                         3:'Google-YouTube Mix',\n",
        "                         4:'Anglo-Saxon Multi-Channel',\n",
        "                         5:'European Multi-Channel',\n",
        "                         6:'Twitter Devotees',\n",
        "                         7:'Facebook Followers',\n",
        "                        })"
      ],
      "metadata": {
        "id": "Of179s8Ay655"
      },
      "execution_count": 149,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Defining the x-axis data as 'total_payments' from the dataframe.\n",
        "x_axis = df_segm_kmeans['CLV']\n",
        "\n",
        "# Defining the y-axis data as 'minutes_watched' from the dataframe\n",
        "y_axis = df_segm_kmeans['minutes_watched']\n",
        "\n",
        "# Setting the figure size for the scatter plot.\n",
        "plt.figure(figsize = (16, 8))\n",
        "\n",
        "# The 'hue' parameter colors the points based on the 'Labels' column, allowing for distinction between clusters.\n",
        "sns.scatterplot(x = x_axis, y = y_axis, hue = df_segm_kmeans['Labels'])\n",
        "\n",
        "# Setting the title of the scatter plot.\n",
        "plt.title('Segmentation K-means')\n",
        "\n",
        "# Displaying the scatter plot.\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 727
        },
        "id": "ncCxucgSzDrZ",
        "outputId": "eb5786b0-d2b9-41cb-c9cd-655aea1e2ebb"
      },
      "execution_count": 150,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1600x800 with 1 Axes>"
            ],
            "image/png": 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jY8PEiROZNm0aI0eOJCEhgQkTJtCkSRPmz5/P2LFjCQkJwc7Ojlq1atG2bVsaNWpk1kbt2rVp3749P/30E99//z1Go/GRidLChQuzYsUKpk6dSkhICEajEV9fXz7++GNKliz59B3ylPr06UNERIRpr9JRo0a98GfY29uzfPlyQkJCWL9+PWvXrsXR0ZF8+fLRp08f0+FdAQEBjBs3joULFzJ+/Hhy5crFwIEDuXLlyjMlSjNlykTr1q3ZuXMnGzduxGg0kidPHj766CPatGnzol9TREREMigLY2p3ixcRERERIelAn4CAAGrVqsXYsWPTOhwRERERkRdCe5SKiIiIyCPFxsYm2zN07dq1hIeHU65cuTSKSkRERETkxdPSexERERF5pIMHDzJhwgTq1q2Lq6srx44d4+uvv8bLy4u6deumdXgiIiIiIi+MEqUiIiIi8kg5c+Yke/bsLF++nIiICFxcXGjUqBEDBw7E1tY2rcMTEREREXlhtEepiIiIiIiIiIiIZHjao1REREREREREREQyPCVKRUREREREREREJMNTolREREREREREREQyvNfqMKdt27axcOFCTp8+TXR0NJ6entSsWZPg4GCcnJxM9X755RdmzJjBuXPneOONN3jnnXdo2rSpWVtxcXFMnz6d77//nrt371K6dGlGjBhBgQIFzOqdOXOGsWPHcuDAATJnzkyjRo3o379/ssMJvvrqKxYtWsTVq1fJnz8/7777LtWqVTOrExUVxYQJE9i8eTPx8fFUqlSJ4cOHky1btufqF6PRiMGQfreStbS0SNfvJxmLxrOkJxrPkp5oPEt6ovEs6YnGs6QnGs+vL0tLCywsLJ5Y77U6zOm7777j5MmTlCxZEldXV/7++29mz55NsWLFWLJkCQB79+6lQ4cONGvWjPr167N7927mz5/PjBkzqFu3rqmtDz/8kHXr1jFkyBA8PT2ZP38+ly5d4qeffjIlXSMiInjzzTfJly8f3bt358aNG0ycOJG33nqLDz/80NTWTz/9xHvvvUePHj2oUKEC69atY82aNaxYsYJSpUqZ6nXp0oXTp0/z/vvvY2dnx4wZM7C0tGTNmjVYWz97Tjox0UBo6N1nvv91Zm1tiZtbZsLC7pKQYEjrcESei8azpCcaz5KeaDxLeqLxLOmJxrOkJxrPrzd398xYWT15Yf1rNaO0UaNGZp/Lly+Pra0tI0aM4MaNG3h6ejJv3jx8fX0ZPXo0ABUqVODSpUvMmjXLlCi9fv06X3/9NR999BHNmjUDoESJElSrVo1Vq1bRrVs3AFatWsXdu3eZM2cOrq6uACQmJjJq1Ci6d++Op6cnALNmzeLNN9+kf//+pmeeOnWKuXPnsnDhQgAOHDjAjh07WLx4MUFBQQDkz5+f+vXrs3HjRurXr//yOk5ERERERERERESey2u/R+mDBGZ8fDxxcXHs2bPHbOYoQP369Tlz5gyXL18GYMeOHRgMBrN6rq6uBAYGsn37dlPZ9u3bCQgIMD0DoF69ehgMBnbu3AnApUuXOH/+PPXq1Uv2zF27dhEXF2dqy9nZmcDAQFOdAgUK4OPjY/ZMERERERERERERef28lonSxMREYmNj+euvv5g7dy7Vq1cnV65cXLx4kfj4+GT7jBYsWBCAs2fPmv6bJUsWXFxcktV7UOdBvYfbcnZ2JmvWrGZtQdLs0Ifbio+P59KlS6Z6+fPnT7bfQYECBcyeKSIiIiIiIiIiIq+f12rp/QPVqlXjxo0bAFSqVImpU6cCSXuKQlIy898efH5wPTIy0uzwp3/Xe1DnQb2H2wJwcXEx1XveZ7q4uHD06NHHvm9qWFu/ljnt5/Zgf4jU7BMh8rrTeJb0RONZ0hONZ0lPNJ4lPdF4lvRE4zl9eC0TpQsWLCAmJobTp08zb948evTowdKlS9M6rDRjaWmBm1vmtA7jpXJ2tk/rEEReGI1nSU80niU90XiW9ETjWdITjWdJTzSe/9tey0RpkSJFAChdujQlSpSgUaNGbNq0iUKFCgEQFRVlVj8yMhLAtNTe2dmZ6OjoZO1GRkaaLcd3dnZO1hYkzRJ9UO/Bf6OiosiaNetjn3n9+vXHtvWsDAYjkZH3nquN15WVlSXOzvZERsaQmKhT4eS/TeNZ0hONZ0lPNJ4lPdF4lvTkRY1ngyGRhIREwPjighN5SlZWljg6ZiI6+r5+n18pC6ytrbC0tHpsLWdn+//eqfcp8fb2xsbGhosXL1K9enVsbGw4e/YslSpVMtV5sAfog/1GCxQowO3bt5MlKR/ekzSl/UOjoqK4deuWWVsp3Xv27FlsbGzInTu3qd6uXbswGo1m+5SeO3cOLy+v5+6HhIT0/T+yxERDun9HyTg0niU90XiW9ETjWdITjWdJT551PBuNRiIjQ4mJST5RSiQtWFpaYjDotzkt2Ns74uzsnuzsoKf12idKDx06RHx8PLly5cLW1pby5cuzYcMG3n77bVOddevWUbBgQXLlygVAUFAQlpaWbNy4kebNmwNJMzt37NhBr169TPdVrlyZ+fPnm+1Vun79eiwtLU2n1+fOnZt8+fKxfv16atasafbMgIAAbG1tTW198skn7Nq1i4oVKwJJSdJjx47RtWvXl9hDIiIiIiIiIhnPgySpo6MbtrZ2z50gEXleVlYWJCZqZvOrZDQaiYuLJTo6DAAXlyzP1d5rlSgNDg6mePHieHt7kylTJk6cOMHixYvx9vY2JSl79uxJhw4dGDlyJPXq1WPPnj38+OOPTJ8+3dRO9uzZadasGZMnT8bS0hJPT09CQkJwcnKiVatWpnqtWrVi+fLl9O7dm+7du3Pjxg0mT55Mq1at8PT0NNXr06cPAwcOJE+ePJQvX55169Zx+PBhPv/8c1Od0qVLExQUxLBhw3j//fexs7Nj+vTpeHt7U7t27VfQeyIiIiIiIiIZg8GQaEqSOjomP6RZJC1YW1tqtn8asLW1AyA6OgwnJzcsLZ/9QC0Lo9H42qS6FyxYwLp167h48SJGo5GcOXNSq1YtunTpgqOjo6neli1bmDFjBufOneONN97gnXfeoVmzZmZtxcXFMX36dL777jvu3r2Ln58fw4cPp2DBgmb1zpw5w5gxYzhw4ACZM2emUaNGvPvuu6aZog989dVXLFy4kKtXr5I/f34GDBhAtWrVzOpERUUxYcIENm3aREJCAkFBQQwfPtws6fosEhMNhIbefa42XlfW1pa4uWUmLOyufkzkP0/jWdITjWdJTzSeJT3ReJb05HnGc3x8HHfuXMPdPbspSSKS1pQoTTtxcbGEhl4nS5Yc2NjYJrvu7p45VXuUvlaJUkmZEqUi/w0az5KeaDxLeqLxLOmJxrOkJy8iUfqopIhIWlCiNO086TchtYnSZ5+LKiIiIiIiIiIiIpJOKFEqIiIiIiIiIiKvtWvXrhIU5M/KlctfWJv79+8lKMif/fv3vrA25b9NiVIREREREREREXkp1q37gaAgf06cOJbWoYg8kRKlIiIiIiIiIiIikuEpUSoiIiIiIiIiIiIZnnVaByAiIiIiIiIiIhlTfHw8n322mN9/38GVK5dITEzEy6sIXbv2wM/PP8V7vvxyBatXf0FYWBhFixZjwIDBFChQyKzOhQvnWbjwE/bt20ts7H3y5y9Ip05dCQqq8th4Ll26yPz5szly5DDR0VG4uLji61uSQYM+wNHR8YW9t7yelCgVEREREREREZE0cffuXX74YS01a9bhrbcac+/ePX788TsGDAhm4cLPKFzY26z+hg0/ce/ePZo0aU5cXBxffbWKvn17smzZKtzdswBw9uwZevXqgodHNtq1e5tMmezZunUzQ4cOZOzYyVSpUi3FWOLj4xkwoA/x8XE0bdqCLFmycOvWLX7//Teio6OUKM0AlCgVEREREREREZE04eTkxNdf/4CNjY2prGHD/9G2bTO+/vpLhg790Kz+5cuXWLXqW7JmzQZA+fIBvPNOR1as+Iw+fQYAMHPmVDw9s7Nw4TJsbW0BaNKkOb16dWHevNmPTJSeP3+Wa9euMGbMRKpVq2kq79Sp2wt9Z3l9aY9SERERERERERFJE1ZWVqYkqcFgIDIygsTERIoU8eHUqRPJ6leqVNWUJAUoWrQ4RYsWZ9eunQBERkawf/+fVKtWk3v37hEeHk54eDgRERGUKxfA5csXuXXrZoqxZM6cNGP0jz92c//+/Rf9qvIfoBmlIiIiIiIiIiKSZn7++UdWrfqcCxfOk5CQYCrPkSNnsrq5c+dJsWzr1s1A0oxTo9HIokXzWbRoforPCwsLNUu2PvDGGzlp2bItX365go0bf6ZkydIEBlamTp36WnafQShRKvKKWVgk/YsZGElIMKR1OCIiIiIiIiJpZsOGdYwbN5JKlarSunV73NzcsbS05PPPP+XKlctP3Z7BYASgdev2lCtXIcU6uXLlfuT9ffq8S/36Dfntt1/58889zJw5hc8//5SQkKVky+b51PHIf4sSpSKvkME2njv373Dk6gmc7Bzx9fTBzmAPidoFQ0RERERERDKeX3/dwhtv5GT8+I+xsLAwlS9ZEpJi/UuXLqZYlj17DgBy5kyahWptbU3ZsuWfKaaCBQtRsGAhOnbsypEjh+jZswtr167hnXd6PVN78t+hRKnIK2Kwi2POn0s5efuMqcwCC3qUbU9xt6KQoGSpiIiIiIiIZCyWlkn/X9hoNJoSpX/9dZSjR4/g6Zk9Wf3ffvuVW7dumpbOHzt2lGPHjtKiRWsA3NzcKV26DN999w1Nm7bEw8PD7P6wsDDc3NxSjOXu3Wjs7DJhbf1PuqxgwUJYWloSHx//vK8q/wFKlIq8AlbWFmw5v9MsSQpgxMj8P5czpfYIMqH9TkRERERERCR9+vHH79m9+/dk5aVLl2Hbtq0MGzaQgIAgrl27ytq1a8iXLz8xMTHJ6ufKlZtevbrSuHFT4uPjWb36C1xcXGjT5m1TnQED3qdXr668/XZLGjb8H2+8kZPQ0Dv89dcRbt68yWeffZFijPv27WX69MlUq1aD3LnzkpiYwIYN67C0tKRKleovrjPktaVEqcgrEGd5nw2nt6V4zYiRP68epNobVUhISHzFkYmIiIiIiIi8fGvXfp1i+Zo1PxITE8N3333DH3/sJl++/Hz44Ri2bt3MgQP7ktWvU+dNLC0tWL36C8LDw/DxKca77w42mzmaP38BFi1axtKlC/n55x+IiIjAzc2dwoW96dSp6yNjLFSoMOXKVWDnzt+4desbMmXKRKFChZkyZRbFi5d4/k6Q156F0Wg0pnUQ8niJiQZCQ++mdRgvhbW1JW5umQkLu5uuDzZKsL1Pv/UfPvJ6nYJVaFroLeLjlSj9L8so41kyBo1nSU80niU90XiW9OR5xnN8fBx37lwjS5Yc2NjYvqQIRZ6OtbWlfpvTyJN+E9zdM2Nl9eQtD7UposgrYGW0xjtLwUdeL5W9GImJ+jEVEREREREREUkrSpSKvAJWiTa0K9nE7AS/B3I55SCnUw4MBk3uFhERERERERFJK0qUirwCBoORLFZZGFl1APnd8gBgY2lN9fyBDA7qhXW8XRpHKCIiIiIiIiKSsekwJ5FXxJhoSTar7Awo150E4rG0sMTWkAlDLGguqYiIiIiIiIhI2lKiVOQVMhiMWBpssMUm6XMaxyMiIiIiIiIiIkm09F5EREREREREREQyPCVKRUREREREREREJMNTolREREREREREREQyPCVKRUREREREREREJMNTolREREREREREREQyPCVKRUREREREREREJMNTolREREREREREJI0sXhxCrVqVXni7+/fvZdmyJS+83ddZcPA7BAX5p/jn6NEjL/x5L+u7k7RjndYBiIiIiIiIiIjIi3XgwD5WrfqcDh06p3Uor1SJEiXp3bt/svICBQq++mDkP0eJUhEREREREREReSFiY+9jZ5cpzZ7v5ORE8eIl0uz5zyIuLg5ra2ssLZ9t4Xda93l6oqX3IiIiIiIiIpLhGQxGTlwIY/ex65y4EIbBYEyTOK5du0pQkD8bNqxj2rRJ1K1bjUaN6jBnzgwSEhJM9W7evMGIEUNo2LA21atXpHnzt5g1ayqQtCR86dKFxMTEmJaeBwe/A8CFC+f56KOhNGnyJjVqBNKuXXO++OJzDAaDWRw3b95g8OD+1KgRSJMmb/LllyuYOXMqzZo1NNVZt+6H/1/Wfpj+/XtRs2YQc+fOBOCLLz6na9cO1KlThQYNajF4cH8uXrxg9oxx40bSvn0L/vxzD2+/3Yrq1QMJDn6Ha9euEhkZwYgRQ6hduwotWjRiy5aNL6R/Z86cSt261bh584ap7PDhg1SuXI61a9cASdsWBAX5s2vXDoYNG0TNmkE0alQnVVsZXL9+jeHDB1OnThVq1gxiwIBgzpw5bVanWbOGTJs2iRUrPqNp0wbUqBFIZGQkkNSnSX1RkcaN6xESMpfExETTvY/r8x9//I527VpQvXog9evXoGfPLhw//tdz91lGohmlIiIiIiIiIpKh7Tt5k5Wb/yYsKtZU5uZkR5uahSnjnS1NYlqw4BMqVarCmDETOHLkMEuWLCBXrlw0btwMgLFjP+L27Vv07z8QNzd3bty4zsmTxwFo2LAxt27dZNOm9cycOR+AzJkzA3Dr1k3y5MlHrVr1cHBw4PTpUyxeHEJMzD06d05KphqNRoYMeY+wsFAGDRqGo6MjK1cu5/r1aynOehw1ajhvvfU/OnTobJrZeOvWDZo2bYGnZ3bu3bvL2rVr6NmzM1988Q3Ozi6me0ND7zBnzgw6dOiMtbU1M2ZMYfTo4djZZaJUKT/eeqsx33+/ltGjR1CsWAmyZ8/x2H4zGo1mCWUACwsLrKysAOjRozd//LGL8eNHMX36XO7fv8+4cSMpV64CjRs3Nbtv8uTx1KxZh3HjPmbv3j9YsOATnJ2dTd/Bw+7evUufPt2xsLBg4MCh2NrasWzZEnr37sZnn32Bp2d2U91t234hV6489Os3EEtLS+ztM7Fq1efMmzebFi3aEBzcn/Pnz7NgwScYDAZ69uzz2D4/eHA/EyeOoXXr9gQEBHL//n2OH/+L6Oiox/aXmFOiVEREREREREQyrH0nbzL326PJysOiYpn77VF6/694miRLixYtTv/+gwAoW7YC+/fvZevWX0xJuuPH/6J7997UqFHbdE+9eg0AyJbNk6xZs2FpaZlsGbq/fzn8/csBSUlFX99S3L9/nzVrVpsSpbt37+TUqRPMnbuQkiVLA+DnV5YmTerj6OiULNZGjZrQrl1Hs7K+fd8z/T0xMZGyZcvToEFttm7dQqNGTUzXIiMjmT17gWkP0du3bzF9+se0bfs2HTt2BaBIkWJs376V7dt/pUWL1o/tt127dlK1agWzMisrK7Zt2wOAnV0mhg8fRY8enfn66y85d+4MUVFRDBnyYbK2/Pz86d27HwDlywcQGnqHzz5bwltvNUkxYfzjj99z/fo1li9fTb58+QEoXdqPpk0bsHr1F/Tp866pbkJCAlOmzMLe3h6Ae/fusnjxAtq06UD37r2BpO/dxsaa2bOn06ZNe1xcXE33P9znK1cux9nZxRQvQMWKQY/tK0lOiVIRERERERERyZAMBiMrN//92DpfbP6b0oWzYmlp8YqiSlKunHmyL1++Auzf/6fps5dXEb744nOsrKwpW7Y8uXLlTlW7sbGxfP75p2zc+DM3blw3m3157949HBwcOH78GI6OTqYkKYCDgwNlypTl5MkTydpMKSF39OgRFi2ax6lTJ4mMjDCVX7p00ayeh0dWs4OWcufOC2BK5kLSvqOurm5my+Ufxde3FH37Dnio1Py78/EpRocOnfnkk5nEx8czatQEPDw8krVVuXI1s8/VqtVgw4Z13Lx5k+zZsyerf+jQAQoUKGhKkgI4O7vg71+ew4cPmtUtXbqMKUkKcOTIYWJi7lGtWg2z78TfvzyxsbGcPXuG0qXLmMof7nNv7yJERkYwbtxIateuS4kSpciUSfuWPi0lSkVEREREREQkQzp1KdxsuX1KQqNiOXUpnCJ53V5RVEkcHR3NPtvY2BAXF2f6PGrUBBYsmMuCBZ8wdepE8uTJS/fuvalSpfpj2503bzY//PAtnTp1w9vbBycnJ377bRuffbaYuLg4HBwcuHPnNq6uyd/Xzc09xTbd3LKYfb5+/ToDBgRTpIgPgwYNxcMjKzY2Ngwa1J+4OPP+fvg9ra2TUlVOTuYzV5Pe//Hf1YP2ihQp+sR6NWvWYenShXh4ZKVKlWop1nFzc3voc9J73rlzO8VEaWRkZIp95O7uzrlzZ1Js64GIiHAAOndul2IsDyeJH76/TJmyjBgxmq++WsWAAX2wtbWlatUa9Ov3ntlWB/J4SpSKiIiIiIiISIYUfvfJibenqfcqeXh4MGzYRxgMBk6ePM5nny3mww+HsnLlGnLmzPXI+7Zu3Zxs2fbvv+8wq5Mliwfh4WHJ7g0LC02xTQsL8xmbe/b8TkzMPcaN+9iU8ExISDCbWZqWDAYDEyeOIW/efFy/fo3PPltMly7dk9ULCwt76PMdIKl/UuLi4sL58+eTlYeGhuLk5GxW9lCXma6PG/cxnp6eydrIkeONh+5PPsO5Tp361KlTn/DwcHbs+JVZs6ZjbW3N0KHJtxWQlOnUexERERERERHJkFwz273QemnB0tISH59idOvWi8TERK5cuQwkn4H6QGxsLNbWNqbPiYmJyU6U9/EpSnR0FAcP7jeV3bt3j337/iQ1YmNjsbCwMM0OBfjll81mp7enpRUrlnHixDFGj55I9+7BLFu2hBMnjiWrt337VrPPW7duwcMjK9mypbxnra9vKc6ePc3Fi+dNZZGRkezd+we+vqUeG1Px4r5kypSJW7duUKRI0WR//r0/6ZO4urrSoEFjypYtx4UL559YX/6hGaUiIiIiIiIikiF55XbFzcnuscvv3Z3s8Mrt+uqCSoXo6GgGDAimTp365MmTl4SEeL7+ejWOjk54eRUBIG/e/CQmJrJ69ReUKOFL5syZyZMnH2XLlueHH9aSP38BXFxc+fbbr4iLizdrv0KFQLy8ijBq1HC6d++No6MTK1cuw8EhMxYWT55zV6ZMWQDGjx9Fo0ZNOHfuLKtWfZ7iQVAvWlRUFEePHklWnitXblxdXTl9+m+WLAmhS5fuFCxYiAIFCrJjxzbGjv2IxYs/x87un6T4/v17mTt3JmXLlufPP/ewYcM6Bgx4P8WDnAAaNHiLVatWMGhQf7p162k69d7KyuqJh1A5OTnRpUsPPvlkNjdv3qR06TJYWVlx9eplfvttO+PGTX7snqOLF4cQERFO6dJlcHNz58yZ0+zZs4uWLdumsucElCgVERERERERkQzK0tKCNjULp3jq/QOtaxZ+5Qc5PYmtrS0FCxZizZovuXHjOnZ2mShSxIfp0+fg6uoKQGBgJf73v+Z8/vmnhIWFUrJkaebMWcC77w7i448nMH36x2TKlIl69RpQuXI1Jk0aa2rfwsKCiROn8vHH45k8eTxOTk40a9aKS5cu8PffJ58YX8GChRg27COWLFnA4MHvUriwF2PHTmLEiCEvq0tMjhw5RI8enZKVjxgxmurVazFmzIcUKVKUNm06AEnvOmzYSN5+uyXz58+hX7/3TPcMGjSM77//hm+//QoHh8x07dqDJk2aP/LZmTNnZvbsEGbPnsbkyeMxGBIpUaIkc+cuxNMz+Z6mD2vduh1Zs2blyy9XsGbNl1hbW5MzZy4qVqxkNjs3JUWKFGX16i/45ZfN3Lt3l6xZs9G6dXvefrvLE58r/7AwGo3GtA5CHi8x0UBo6N20DuOlsLa2xM0tM2Fhd0lIMKR1OCLPReNZ0hONZ0lPNJ4lPdF4lvTkecZzfHwcd+5cI0uWHNjY2D53LPtO3mTl5r/NZpa6O9nRumZhyninvMw6o4mPj6ddu+aULFmaYcM+SutwXqr9+/fSt28PFi1alqqDoR6wtrbUb3MaedJvgrt7ZqysnjwbWjNKRURERERERCRDK+OdjdKFs3LqUjjhd2NxzZy03P51m0n6Kn333TcYjQby5MlHVFQk3377NdevX2PUqPFpHZrIS6NEqYiIiIiIiIhkeJaWFhTJ65bWYbw2bG1tWbHiM65duwpAoUJeTJ4846lmWIr81yhRKiIiIiIiIiIiZurVa0C9eg3SOow04efnz44de9M6DEkDT16cLyIiIiIiIiIiIpLOKVEqIiIiIiIiIiIiGZ4SpSIiIiIiIiIiIpLhKVEqIiIiIiIiIiIiGZ4SpSIiIiIiIiIiIpLhKVEqIiIiIiIiIiIiGZ4SpSIiIiIiIiIir4G3325NUJA/hw4deOnPatasIdOmTXph7e3atZPg4Hd4880a1KwZRMuWjRk9egQXL154Yc94VZo1a0hQkD/z5s1Odu3SpYsEBfkTFOTP/v17n6rd/fv3EhTkz4kTx0xlixeHcOTIoWR1g4L8WblyearavXbtKpMmjaNp0wZUqxZAvXrVGTCgD1u3bjbVGTduJO3bt3iqeF8nL3q8Por1S3+CiIiIiIiIiIg81tmzZzhz5m8ANm1aT8mSpdM4otTbsmUjH300jHr1GtCmTQdsbKw5f/48v/yyiQsXzpEnT960DvGp2ds78Msvm+jZs49Z+ebNG7C3dyAm5t4Lec7SpQuxt3egRImSZuXz5y8le/YcT7z/6NEjDBzYB1dXN9q160i+fPm5e/cuu3fvZPToEeTKlYfChb1eSKwZgRKlIiIiIiIiIiJpbNOm9VhaWlKqlB9bt26mf/9BWFv/N9I2X3/9JX5+/nzwwUhTWdmyFWjevBUGgyHtAnsOFSsG8uuvv3D06GGKF/c1lW/evIHKlauwYcPPL/X5xYuXeGKd2NhYPvxwCFmzZmP+/CVkzuxouhYUVJnGjZvh6Oj0MsNMd7T0XkREREREREQyPKPBQMLV48Sf3k3C1eMYX2GCz2g0snnzBvz8/GnZsi0RERHs3v27WZ0Hy7b//HM3I0d+QK1alWnatAErVnyWrL21a9fQtGkDatQIpH//Xpw6dYKgIH/WrfvhsXFs2/YLHTu2oXr1ijRqVJfZs6cRGxv7xPijoqLIksUjxWuWlv+knn7/fQf9+/eiQYNa1K5dhW7d3k72nkOHvkfz5o24d++uqWzz5g0EBfmb6hoMBj79dBHNmjWkWrUA2rRpytq1a8zaWbw4hFq1KnHmzGl69uxCjRqBtG/fgj17dj3xfQBcXFzx9y/P5s0bTGWnTp3g0qWL1KhRJ1n9oCB/VqxYZla2evVKgoL8H/mMB9c++WRmsuX8qVl6v3XrZm7evEH37sFmSdIHChUqTPbs2c3K9u/fS6dObahZM4hu3Tpw4sRxs+tffPE5Xbt2oE6dKjRoUIvBg/sn2z7hwTL+J7WV1CefsXhxCA0b1ubNN2swfvwoYmJizOrdvHmD0aNH8OabNahePZDevbsla+tVUaJURERERERERDK0+HN7ufvFe8T8OIn7v8wn5sdJ3P3iPeLPPd0elM/qyJFDXLt2lVq16lK+fAAuLi5s2rQ+xboffzyB3LnzMH78xwQGVmLevNlmycYdO7YxZcoEypWrwPjxU/D3L8eHHw59Ygw7dmxj+PD3yZcvP+PHT6Ft2w6sXbuGMWNGPPFeb+8ibNv2C6tWfc61a1cfWe/atSsEBlZmxIjRjBs3CV/fkgwa1M9sr8/Bgz8gJuYeM2dOBeD27VtMnTqJxo2bUqFCRQDmzp3J0qULqVevAZMmTadcuQpMmTKBNWu+NHteQkICo0cPp379howfPwU3N3eGDx9MRET4E98JoGbN2mzdutk0K3bz5g34+pYia9asqbr/SebPXwpAs2YtmT9/KfPnL8Xbu0iq7z94cD9WVlaULVsuVfVDQ+8wc+YUWrfuwOjRE4mLi2PYsIEkJCSY6ty6dYOmTVswYcJUhgwZjsFgoGfPzkRGRjx1WwBr1qzm8uVLfPDBSDp27MamTev59NNFpuuRkZH06tWVv/8+Sf/+gxg3bhKZMtnTr18PwsJCU90XL8p/Yw63iIiIiIiIiMhLEH9uL/c3zUlWbrwbllReKxib/I+eFfgibNq0AVtbO6pUqY61tTVVq9Zgw4Z13Lt3DwcHB7O6VatWp0uX7gD4+5dj166d/PrrFlMS8bPPFlOmTFnef384AOXLB5CQkMCiRfMfG8OSJQsoVqwEI0eOA6BChYrY2WXi44/Hc+bMaQoWLPTIe3v0COb8+XPMmTODOXNmkCWLBxUrBtG0aUsKFSpsqte0aUvT3w0GA6VL+3Pu3Fm+//5b/PyS+tjNzZ1Bg4bxwQeDCAqqzNq13+Di4kLv3v0BCA8PZ82aL2ndur2pH8qVq0B4eDhLly6iceNmWFlZARAfH0+PHsEEBAQBkCdPXpo3f4vdu3+nTp36j+0PgMqVq/LxxxPYv38vZcqUZfPmjbz9dpcn3pdaD5bXZ8uWPVVL7R9269YtXF1dsbPLlKr6kZGRzJ69gAIFCgKQKVMm+vbtwV9/HaVkyVIA9O37nql+YmIiZcuWp0GD2mzduoVGjZo8VVsAWbJ48NFHY4GkMXXq1Al+/XWLae/Xr776gujoKBYu/Aw3N3cAypQpR+vWTfjii+X06tXvqfvleWhGqYiIiIiIiIhkSEaDgdjfVzy2TuzvK1/qMvyEhAS2bt1MQEBFHB2Tlk/XqlWX+/fvs3371mT1y5atYPq7hYUFefPm4+bNm0BSYuvUqZMEBlY2u6dSpaqPjeHevXv8/fcpqlatblZeo0ZtAA4fPggkJTcTEhJMf4xGIwBZs2Zj4cLPmDVrPm3bvk2OHG/w00/f061bB3bt2mlq7+bNG4wd+xGNG9ejSpXyVK1agT/+2M2lSxfNnlulSjXq1n2Tjz4axt69exg+fBT29vYAHDt2lISEBKpVq/lQrLUIDw8za8vS0hJ///KmzzlyvIGdnZ2pv54kc2ZHKlYMZPPmDRw+fIjQ0DtUq1YjVfe+SEaj0azfzfd9tUh1Ox4eWU2JTYD8+QsASbNIHzh69Aj9+/eifv0aVKlSnho1goiJuZfsO0pNWwBly5Y3+5wvX35u3fqn///4YzelS/vj5ORser8He/UeP34s1e/2omhGqYiIiIiIiIhkSInXT2K8G/bYOsa7oSReP4n1Gz4vJYY//9xNeHgYgYGViYqKAqBAgUJkyeLBpk0bqFv3TbP6Tk7mh/PY2NiY7gsPDyMxMRFXVzezOm5u5p8fFh0dhdFoxN09i1m5o6Mjtra2pmXXEyaM5ueffzRdHzbsI+rXbwgkJSX9/PxNM0NPnTpBcHB3Fi78hICAQAwGA0OGDCA6OpquXbuTM2du7O3tWbRoPjduXE8WU61adVm//id8fIqaHaYUFRUJgLu7+0PvmBT7v5eI29nZYWNjk6y/4uKevO/qAzVr1mHSpKRZtuXKBeDs7JJivC/Tzz//yPjxo0yf69VrwAcfjCRr1qzs3buH2NhY7OzsntjOg0T8A9bWSX0TFxcHwPXr1xkwIJgiRXwYNGgoHh5ZsbGxYdCg/sn67Elt/VMv+Xj9d52IiHD++usIVatW4GE5c+Z64ju9aEqUioiIiIiIiEiGZLwX8eRKT1HvWWzalHRYUFIibJTZtfDwMMLCQk1Lkp/E1dUNKysrwsPNk79hYY9PBjs6OmFhYZFsT8jo6Gji4uJwdnYBoHPnd2jatIXpeo4cbzyyTS+vIpQtW45du5L2T718+RKnTp1kwoQpZjNcUzosKiYmhmnTJlGokBcnThznp5++58033wLA2dn5/98plKxZs/3rHe/8/3WXx77r0woICCIxMZF1635g+PDRj6xna2tLfHy8WdmDBPbzCgysxKJF/xwU5eLiCkDp0mX48cfv2LfvTypWDHru5+zZ8zsxMfcYN+5jU0I+ISEh2f6kL5KTkzPly1ekW7ceya7Z2Ni+tOc+ihKlIiIiIiIiIpIhWTikLqmW2npP6/79+/z22zYqVapK8+atzK6Fht5h5MgP2LJlI82atXpEC+asrKzw8vJmx45ttGjR2lT+22+/PvY+BwcHChf24tdft9CyZVtT+S+/bALA17cUkJQYTSk5Ghp6J9lsVIPBwOXLl8mSJan8QUL0wcxDgOvXr3HkyCFy585jdu+cOdOJiopi7txFrFz5GbNmTaVMmXJkz54dH5/iWFtbs3XrFry8/jn46JdfNuPm5p6sredlZ2dH+/adOH78LypVqvLIelmzZuP8+XNmZX/+ueeJ7VtbWz9xhquLi6spOfpvVavWICRkLiEhcylVqjQODpnNrp85cxpHR0c8PbM/MQ5I+o4sLCywtv4nXfjLL5tJTExM1f3Pwt+/HBs3/kzevPlN2yukJSVKRURERERERCRDssrujUVmt8cuv7fI7I5Vdu+X8vzffvuVmJh7NG/eyrRk/d9WrlzGpk0bUp0oBXj77S4MGfIekyaNpVq1mpw6dcK0XN7C4tH7WXbu/A5Dhw5k9OgR1K5dj4sXL7BgwVyqVq3+2IOcAN57rw+5c+clMLAS2bPnIDw8nJ9++p4zZ/42HQ6UN28+smXzZP78ORgMBmJi7rF4cYjZrFCA3bt/57vvvmHUqPF4eHjQvXswe/bsYvz4kcycOQ9XV1eaNm3JypXLsLW1pVixEuzatZNNm9bz7ruDTAc5vUjt23d8Yp2qVWvw1Vdf4O1dlDx58rJx4zqzvTgfJW/e/OzYsZ2SJUtjb29Pnjx5kyU8H8XOzo7RoycycGAfunRpT8uWbciXrwB3797ljz928cMPawkJ+TTVidIyZcoCSbObGzVqwrlzZ1m16vNky+dfpFat2rJp03qCg9+hefNWeHpmJzw8jGPH/sLDw8Mscf8q6DAnEREREREREcmQLCwtsav4+ESMXcU2WFi+nPTJpk0b8PTMTunSZVK8XrduA/766whXrlxOdZtBQVUYOHAIe/bsYsiQ99i9+3cGDhwCJN9X8uH7xoyZyJkzpxk69D1WrPiUt976HyNGjHniM9u2fZuEhAQWLpzHu+/2ZsqUCdy7d5dx4yabZrba2toybtxkbG1tGDFiCIsWhdChQ2dKlfIztRMZGcHEiWOoUaO26SApOzs7RowYzaFDB/jqqy8A6N27H506dePHH79j8OD+7Nq1k4EDh9K0actU99OL1rFjV2rXrsvSpQsZM2YEnp45ks0STsmAAe9jMBgYOLAvXbt24MSJ40/13OLFS7BkyQpKlSrDsmVL6d+/F2PHfsSlS5f46KNxFC7sleq2ChYsxLBhH3Hy5HEGD36XzZs3MHbspMeOm+fl4uJKSMhSChf2Yt682QwYEMzs2dO5du0qRYsWf2nPfRQL44MjyuS1lZhoIDT0blqH8VJYW1vi5paZsLC7JCS8vFMERV4FjWdJTzSeJT3ReJb0RONZ0pPnGc/x8XHcuXONLFlyvJB9DOPP7SX29xVmM0stMrtjV7ENNvmTz/T8r/nxx7VMnDiWr776/rH7isrzsba21G9zGnnSb4K7e2asrJ78Dx5aei8iIiIiIiIiGZpNfn+s8/qReP0kxnsRWDi4JC3Lf0kzSV+myMgIlixZSJky/jg4ZOb48b9YtmwplSpVUZJU5AmUKBURERERERGRDM/C0hLrN3zSOoznZm1tzdWrl9m8eT1RUVG4urpRp059evbsk9ahibz2lCgVEREREREREUknHBwyM3nyjLQOQ+Q/6b83h1xERERERERERETkBVOiVERERERERERERDI8JUpFREREREREREQkw1OiVERERERERERERDI8JUpFREREREREREQkw1OiVERERERERERERDI8JUpFREREREREREQkw7NO6wBERERERERERDK6Xbt2smbNl5w4cYyoqCicnV0oUsSH2rXrUaNGbSwt02au2/79e+nbtweLFi2jSJGiT31/XFwcHTu2JmvWbMycOc/smsFgoEePziQkJLBw4WdYWVk9V6zNmjXk+vVrj63TqVM3unTp/sR2KlYMYsCA958rnkcZN24kP//8I0WLFmfBgk/NrhmNRpo2bcDNmzfMYh03biQnThxj+fLVLyUmSaJEqYiIiIiIiIhIGgoJmcvy5UupXLka7747mCxZPAgNDeW3335lzJgPcXZ2oXz5gLQO85nY2toycOBQ+vbtwYYN66hTp77p2vfff8PJk8cJCfn0uZOkAOPHf0xcXLzp8wcfDKREiVK0atXOVJYtW7bnfs6LYG/vwLFjR7l69QpvvJHTVH7o0AFCQ+9ga2trVr9jx67ExMS86jAzHCVKRURERERERETSyO+/72D58qUpznSsXr0mzZu3wtr6v52+8fPzp379hsyZM4OKFSvh5OREWFgoISGf0KRJC4oU8Xkhz/HyKmL22cbGFnd3d4oXL/FC2n+RsmfPjpWVNVu2bKR9+06m8s2bN1CuXACHDx8wq58zZ65XHWKGpD1KRURERERERCTDMxgNnAo7w97rBzgVdgaD0fBKnvvllyvIksWDt9/ukuL1okWLJ0sArl27htatm1CtWgDNmjXk008XYTCYx3vmzGkGDAimZs0g6tSpwvDhg7l+/bpZnejoaEaPHkGtWpVp0KAWISFz+eKLzwkK8n9szEajkZUrl9OqVVIMzZs34ssvVzz2nt69+2E0Gpg/fzYAc+bMwN7enm7degJw8OB+evToTPXqgbz5Zg3Gjx9FZGSE6f79+/cSFOTPiRPHzNodOvQ9goPfeeyzHxg3biTt27cwK4uKiiIoyJ91635IVn/lymU0blyPGjUCGTJkALdv3za7HhcXR0jIXJo2bUC1agG0bNmEjRvXpyoWgJo1a7N58wbT54SEBH79dQu1atV5YuxDh75H8+aNuHfvrqls8+YNBAX5s3v376mOQcz9t/9JQkRERERERETkOR28eYSv/v6e8Nh/EnOudi40L/wWpbK9vNmICQkJHDlyiKpVa6R61ujXX69ixowpNGvWkooVK3HkyCGWLl1IdHQ0wcH9Abhx4zq9e3cjZ85cjBgxhri4WBYsmEefPu/w2Wdf4OCQGYDx40exf/+f9OrVl+zZs/P992s5efL4E2OYOXMKP/ywlg4dOlO0aHGOHj3MvHmzsbOzo3HjZine4+LiSu/e/ZkwYTQ5crzBhg3rGD9+Cg4ODpw4cZx33+1N6dJlGDNmImFhd5g/fw7nzp1l/vwlL2RZ/tPavv1XsmfPwcCBQ4iKimLevNl88MEgQkKWmup8+OEQDh8+RKdO3ciXLx979vzOmDEjcHJyIiAg8InPqFmzDiEhczl37iz58xfgzz93ExsbS1BQFaZOnfjYewcP/oD27Vsyc+ZUhg79kNu3bzF16iQaN25KhQoVn/v9MyolSkVEREREREQkwzp48wgLjy5PVh4eG8HCo8vpVrz9S0uWRkZGEBcXR7ZsnmblRqORxMRE02dLS0ssLS1JTEzk008XUaNGbfr3HwRAuXIVSEhIYNWqz2nfviMuLq6sXr2SxMQEpk+fg7OzC5C0LL1du+asW/cDzZq14ty5s2zfvpXhw0dRt+6bAJQvX5E2bVJOdD5w5cpl1qxZzcCBQ2nUqAkAZcuW5/79+yxdupC33mryyIOn6tVrwPr1PzF//hwqVapC5cpVAVi2bAnu7lmYPHmGKWGcLVt2BgwIZteunQQFVX7Knn1+9+7dY8qUWTg6Ov5/PJ7069eTPXt2Ub58APv372XHju1MmzaHcuUqABAQUJFbt26xZElIqhKl2bPnoHjxEmzevIFu3XqyefMGAgMrY29v/8R73dzcGTRoGB98MIigoMqsXfsNLi4u9O7d/7neO6PT0nsRERERERERyZAMRgNf/f39Y+t8/ff3L30ZvoWFhdnnX3/dQtWqFUx/Zsz4GIALF84THh5O9eo1zepXr16L+Ph4jh37C4BDhw7i5+dvSpIC5M2bj0KFCnP48CEA0xL2oKAqpjqWlpYEBlZ6bKx//rkHgKpVq5OQkGD64+9fjjt37nDz5g0As2v/Tvq2bfs2AG3adDCVHT58gEqVqpjNqi1XrgKOjk4cPnzwsfG8LH5+ZUxJUoAyZcri7OzCsWNHAfjjj904O7vg5+dv9q5ly5bn1KmTZu/8ODVr1mHLlo3Ext7nt9+2U7Nm8mX3j1KlSjXq1n2Tjz4axt69exg+fFSqkqzyaJpRKiIiIiIiIiIZ0unwc2bL7VMSFhvB6fBzeLkVfOHPd3Z2wdbW1pRcfKBMmXIsWrQMgPffH2Aqj4qKApJmE/6bu7v7/1+PNP23cGGvZM9zc8ti2vfz9u3bWFtbmyUDk+q4PTbmiIhwjEYjb75ZM8XrN27cwGg00rz5W6ay7Nlz8PXXSXuAPkiG2tjYmL3Xw+/04L0evNOrllI8bm5u3LmTtE9pREQ4kZERVK1aIcX779y5nWymcEqqVavJrFnTWLQoBGtr66deNl+rVl3Wr/8JH5+iFC/u+1T3SnJKlIqIiIiIiIhIhhQZm7okXGrrPS1ra2tKlCjJvn1/kpiYaNqL09nZGWfnooB5QtHZ2RmAsLAws3ZCQ0MBcHJyNtULCwtN9rywsDvkzp0XAA8PDxISEoiOjjZLlj7c9sOcnV2wsLDgk08WmcX2QJ48ebGxsTUlepPewfaxbTo5Oaf43NDQUNM72draARAfH29W50HyODVsbW2Jj0946P6Uv9uU+y+MLFk8TDG7uroxZcpM03UrK0sSE5NmH6eUaE2Ju3sW/Pz8+fLLFbz5ZqNU71ULEBMTw7RpkyhUyIsTJ47z00/f8+abbz35RnkkLb0XERERERERkQzJ2c75hdZ7Fi1btuX27VssX770iXXz5MmLq6sbW7duNiv/5ZdN2NjYULRoMQB8fUuxb9+fREb+kwS8ePE8Z86cxte3JADe3j4A/Pbbr6Y6BoOBnTt/e2wMZcqUBSAiIoIiRYom++PgkBkbGxuzsoIFCz22TV/fUvz2268kJPyTxPzzz91ER0fh61sKgGzZsgFw4cI5U53w8HBOnjzx2Lb/LWvWbNy6dYN79+6Zyv74Y3eKdffv30d0dLTpc1J/RlC0aHEAypYtR3h4GNbW/7yrj88/75xSEvlRmjVrRWBgJd56q3Gq7wGYM2c6UVFRTJkyi+bNWzFr1lSuX7/+VG2IOc0oFREREREREZEMqZBrflztXB67/N7NzoVCrvlfWgwVKwbRrl1HFi2az99/n6R69dp4eHgQHR3NoUMHCA29Yzql3srKio4duzBjxhTc3NwJCAjkr7+OsHLlMpo3b42LiysALVq04aeffmDAgGA6dOhMXFwsCxfOw9MzO/XrNwSgQIGCVK5cjZkzpxAbex9Pzxx8//23xMXFJtsz9d/y5MlLkybNGTv2Q1q3bk/RosVJSEjg0qWLHDiwlwkTpj51H3To0JmePTszePC7NGvWktDQpFPvfXyKmQ5FypbNk6JFi7NkyUIyZ3bEysqaFSs+S7Z1wONUqVKdxYtDmDBhNG+91Zhz587yww9rU6zr4ODAwIF9adfubaKiopg/fzY+PsUoXz4AgLJlKxAYWIn33utD27YdKFiwMHFx9zl9+gxXrlxiyJARqY4rMLDSE/eGfdju3b/z3XffMGrUeDw8POjePZg9e3YxfvxIZs6c99jvUB5NiVIRERERERERyZAsLSxpXvitFE+9f6BZ4bewtHi5C3J79AjG17cU33yzmmnTJhIdHY2zswve3kUYMuRDatas/U88zVphbW3NqlUr+fbbr8iSxYNOnbrRoUNnUx1Pz+zMmbOAuXNnMHr0cCwtrShbthx9+gwwJV0Bhg79kOnTJzN37kxsbW2pW7cBBQoUZM2a1Y+Nt3//QeTJk5fvvvuGTz9dhL29A3ny5KVatRrP9P5FivgwbdocQkLmMnz4YDJlsicoqDLBwf1N2xEAfPTRWCZNGsv48aNwd89Ct2492bJlY6qX3+fPX4APPhjJp58uYsiQ9/D1LcWHH46lU6c2yepWrlyVrFk9+fjjCURFRVG2bDkGDRpmVmfs2Ml8/vmnfPPN19y4cQ1HR0fy5y9oSka/LJGREUycOIYaNWpTo0bS2LCzs2PEiNF0796Jr776ghYtkr+TPJmF0Wg0pnUQD/z88898//33/PXXX0RGRpI3b17at29P06ZNTZnw9u3b88cffyS7d926dRQs+M/GylFRUUyYMIHNmzcTHx9PpUqVGD58uGmq9gP79+9n0qRJHD9+nCxZstC6dWu6detmlnk3Go0sXLiQlStXEhoaio+PD0OHDqVUqVJmbd24cYOxY8eyY8cObGxsqFWrFkOHDn2qf91ISWKigdDQu8/VxuvK2toSN7fMhIXdJSHh5Z4iKPKyaTxLeqLxLOmJxrOkJxrPkp48z3iOj4/jzp1rZMmS44n7X6bGwZtH+Orv781mlrrZudCs8FuUylbiudv/L+nduxuWlpbMnh2S1qH851hbW+q3OY086TfB3T0zVlZP/geP12pG6aeffkrOnDkZMmQIbm5u/P7774wYMYLr168THBxsqufn58f7779vdm+uXLnMPvfv35/Tp08zcuRI7OzsmDFjBt26dWPNmjWmjXEvXLhAly5dCAwMpH///pw8eZIpU6ZgZWVFly5dTG0tXLiQWbNmMXDgQLy9vVmxYgWdO3fmu+++I3fu3EDSZsJdu3YFYOrUqdy/f59Jkybx3nvvERKiHxcRERERERGR11WpbCXwzVqM0+HniIyNxNnOmUKu+V/6TNK09uuvW7hx4zoFChQiNvY+mzat59ChA4wfPyWtQxNJE69VonTevHm4u/9zKlhAQADh4eEsXbqUXr16YWmZ9APl7OycbDbnvx04cIAdO3awePFigoKCAMifPz/169dn48aN1K9fH4DFixfj5ubGtGnTsLW1JSAggNDQUObPn0/79u2xtbUlNjaWkJAQOnfuTMeOHQEoU6YMdevWZfHixYwcORKADRs28Pfff7Nu3ToKFChgirNLly4cPnwYX1/fF9xbIiIiIiIiIvKiWFpY4uVW8MkV0xF7ewc2bFjHpUuXSEiIJ0+efHz44RgqV66a1qGJpInX6p9G/p0kfcDHx4fo6GizE8meZPv27Tg7OxMYGGgqK1CgAD4+Pmzfvt2sXo0aNbC1/WdKbv369YmMjOTAgQNA0tL86Oho6tWrZ6pja2tLrVq1krXl7e1tSpICBAYG4urqyrZt21Idu4iIiIiIiIjIq1C+fABLlqxg06btbN26i88++4Lates9+UaRdOq1SpSmZN++fXh6eprt8/nHH39QqlQpSpQoQbt27fjzzz/N7jl79iz58+dPdsJXgQIFOHv2LAD37t3j2rVrZonNB3UsLCxM9R789+F6BQsW5OrVq9y/f99U7+E6FhYW5M+f39SGiIiIiIiIiIiIvJ5eq6X3D9u7dy/r1q0z24+0bNmyNGrUiHz58nHz5k0WL15Mp06dWL58OaVLlwYgMjISJyenZO25uLhw9OhRANOJaM7OzmZ1bG1tsbe3JyIiwtSWra0tdnZ2ZvWcnZ0xGo1ERESQKVOmxz7zQVvPw9r6tc9pP5MHG+mmZkNdkdedxrOkJxrPkp5oPEt6ovEs6cnzjGeDweLJlUReoQdz9Sws4PU5Nj3jsbKyeK4c2mubKL1+/Trvvvsu5cuXp0OHDqbyvn37mtWrWrUqDRo04JNPPmHhwoWvOsxXwtLSAje3zGkdxkvl7Gyf1iGIvDAaz5KeaDxLeqLxLOmJxrOkJ88ynu/ft+L2bcvnToqIvGj6h6y0YTBYYGlpiYuLA5kyZXrmdl7LRGlkZCTdunXD1dWV2bNnmw5xSomDgwNVqlRhw4YNpjJnZ2euX7+erG5ERAQuLi4AptmfD2aWPhAXF0dMTIypnrOzM3FxccTGxprNKo2MjMTCwsKsXnR0dIrPzJEjR2pfPUUGg5HIyNTv0fpfYmVlibOzPZGRMSQmGtI6HJHnovEs6YnGs6QnGs+Snmg8S3ryPOM5Li4Wg8FAYqKRhAT9b0HSnoVF0phOTDRoRmkaSEw0YjAYiIi4R0xMYrLrzs72qUpiv3aJ0vv379O9e3eioqL48ssvU1zO/iQFChRg165dGI1Gs31Kz507h5eXF5CUYM2RI0ey/UPPnTuH0Wg07Tf64L/nzp2jSJEipnpnz57ljTfeMGWpCxQowKlTp8zaMhqNnDt3zuxQqWeV3n/4ExMN6f4dJePQeJb0RONZ0hONZ0lPNJ4lPXmW8ZyYqEyUvF4eJEeVJE1bz/uPJ6/VfOCEhAT69+/P2bNnWbRoEZ6enk+85969e/z666+UKFHCVFa5cmUiIiLYtWuXqezcuXMcO3aMypUrm9XbsmUL8fHxprJ169bh7Oxs2u/Uz88PR0dHfv75Z1Od+Ph4Nm7cmKytEydOcP78eVPZrl27CA8Pp0qVKk/XESIiIiIiIiIiIvJKvVYzSkeNGsXWrVsZMmQI0dHRHDx40HStaNGiHD58mEWLFlGrVi1y5szJzZs3Wbp0Kbdu3WLmzJmmuqVLlyYoKIhhw4bx/vvvY2dnx/Tp0/H29qZ27dqmel26dOGHH37gvffeo3Xr1pw6dYrFixfz7rvvYmtrC4CdnR3du3dn9uzZuLu74+XlxRdffEF4eDhdunQxtVWnTh1CQkLo06cPAwYMICYmhsmTJ1O1alV8fX1ffueJiIiIiIiIiIjIM7MwGl+fScHVq1fnypUrKV7bsmULiYmJjB49mpMnTxIeHo69vT2lS5cmODg4WTIyKiqKCRMmsGnTJhISEggKCmL48OHJZqnu37+fiRMncvz4cdzd3Wnbti3dunUzW7JvNBpZsGABK1euJDQ0FB8fH4YOHWqadfrAjRs3GDt2LDt27MDa2ppatWoxbNgwHB0dn6tfEhMNhIbefa42XlfW1pa4uWUmLOyulg7Jf57Gs6QnGs+Snmg8S3qi8SzpyfOM5/j4OO7cuUaWLDmwsbF9SRG+GosXh7B0afLDqfPnL8Dy5atfaSzNmjWkYsUgBgx4/5U8b926Hxg/fhQ//rgZV1fXVN/3ovosKMifXr360aZNewCCg9/BwcGByZNnpLqNf7O2ttRvcxp50m+Cu3vm/94epb/88ssT6yxevDhVbTk5OTF+/HjGjx//2Hp+fn6sXv34/xFZWFjQvXt3unfv/th6np6ezJ49O1XxiYiIiIiIiIhA0mrWmTPnm5U9z8ndGYH6TF6G1ypRKiIiIiIiIiKS0VhaWlK8eIknVxSTjNhnsbH3sbNTMvhlUqJURERERERERDI8o8FAzKmTJEREYO3igr2XNxaWaXsGdkxMDPPmzeLPP/dw8+YN3NzcKV8+gJ49+ybb5u/nn39k9eqVXLhwHnt7e3x8ijFw4FCyZ88BwM2bN5g/fw579vxOTMx9fHyK0qfPAIoU8Un23JUrl7F69RdERUVStmx5Bg4choeHh+l6ZGQEc+bMYOfO7cTE3MfLy5sePYIpVcrPrJ21a9fw5ZcruH79GlmyeNCgQSM6dOiM5WP69aefvufjj8czcOAQGjRo/Mx9d+bMaebOncHhwwexsrKibNnyBAcPIHv27E/VzsGD+5k/fw6nTp3E3j4TgYGVCQ7uj7OzCwD9+vXEw8ODESPGAHDixHG6dm1P1ao1GDt2EgAXL56nTZtmLFz4GT4+xQA4evQwCxZ8wrFjR7GysiIgIIh+/d7Dzc0dgGvXrtK8+VsMG/YRR44cYtu2rXh4eLBs2ZccPnyQkJC5nD59CoPBSI4cOWjduj316jV45v6SJEqUioiIiIiIiEiGFrVvL7dWrSAhLMxUZu3mRtZWbXEq4/9KYkhISDD7bGVlxf379zEYDLzzTi9cXd24efMGy5YtYejQ95g9O8RUd+XKZXzyySwaNGjEO+/0IiEhgX379hIeHkb27DmIjIykV6+u2Nvb07//IBwdHfn669X069eDVau+NSXnALZv/5Xs2XMwcOAQoqKimDdvNh98MIiQkKUAJCYm8t57fbl27Qo9e/bBzS0LX3+9inff7c28eUtMidevv17FjBlTaNasJRUrVuLIkUMsXbqQ6OhogoP7p9gHX3+9irlzZzJ8+Chq1qzzTH1mYWHBjRvX6d27Gzlz5mLEiDHExcWyYME8+vR5h88++wIHh8yp+k5OnDjOu+/2pnTpMowZM5GwsDvMnz+Hc+fOMn/+EqysrChZsjQ//fS96Z6DB/dha2vH4cMHTWUHDuzH3t4BL68iQFKStE+f7lSoEMioURO4fz+GhQvnMWTIe6Z+fiAkZA4BAUGMHDkOg8HA3bvRDB7cH1/fUowcOQ4bG1vOnz9LVFRUqt5JHk+JUhERERERERHJsKL27eXavDnJyhPCwpLKewa/9GRpTEwMVatWMCsbMWI0derUZ+DAof/ElJBAjhxv0KtXVy5evECePHmJjo5myZIFvPXW/xg8+ANT3UqVqpr+/tVXXxAdHcXChZ+ZkqJlypSjdesmfPHFcnr16meqe+/ePaZMmWWasZotmyf9+vVkz55dlC8fwK5dOzh+/C+mTp1N+fIBAJQvH0DLlo1ZvnwJ48Z9TGJiIp9+uogaNWrTv/8gAMqVq0BCQgKrVn1O+/YdcXFxNXvf5cuXsnTpQsaMmUhQUJXn6rPVq1eSmJjA9OlzTDM/vbyK0K5dc9at+4FmzVo9sX2AZcuW4O6ehcmTZ2Btbf3//ZGdAQOC2bVrJ0FBlSlVyo8lSxZw/fo1cuXKyaFDB3jzzbf47rs1XLhwnrx583Ho0AFKlPDFysoKgPnz51CkiA/jx39sOky8QIFCdOjQkl27dhAQEGSKoVAhb4YMGWH6fOLEMaKjo+nePZiCBQsB4O9fLlXvI0+mRKmIiIiIiIiIZEhGg4Fbq1Y8ts6tVStxLO33Upfh29nZMXeu+Snub7yRE4D163/iyy9XcPnyJWJiYkzXL126SJ48eTl69DD379+nQYNGj2z/jz92U7q0P05OzqZZmJaWlpQq5cfx48fM6vr5lTFb1l+mTFmcnV04duwo5csHcOjQQTJnzmxKkgJYW1tTpUo1Nm3aAMCFC+cJDw+nevWaZm1Xr16L5cuXcuzYXwQEBJrKFyyYy6ZN65k0aTply5Z/7j47dOggfn7+piQpQN68+ShUqDCHDx9KdaL08OED1KxZx5QkhaSEr6OjE4cPHyQoqDLFihXHxsaGgwf3kzPnGxw+fJCPPhrH0aOHOHBgnylR+tZb/wPg/v37HDlyiN69+5GYmGhqN3fuPGTL5snx48fMEqUVK/7TT0nvmIvMmTMzZcoEmjVrhZ+fP25ubql6H3kyJUpFREREREREJEOKOXXSbLl9ShLCQok5dRKHFPbyfFEsLS0pUqRosvJt27YyduxHvPXW/3jnnV44O7ty585thg0bSFxcLJC0XyiAh0fWR7YfERHOX38dSTYDEyBnzlxmn/+9DP+fMjfu3LkNQFRU5CPqZDHF8mAZ+MP13N3dTW3826+//kKBAoXw9S31yHd42KP67EH7hQt7PTbG1IiKikrxXd3d3U3vYGeXiSJFinLo0AF8fHyIjo6meHFfSpb049ChA5QvH8CNG9dN+7dGRUWSmJjIrFnTmDVrWrK2b968kSzmf3N2dmb69LksXryAsWM/JDExEV/fUrz77mDTDFN5dkqUioiIiIiIiEiGlBCRuqRZauu9aFu3bqZwYS+zJfUHDuwzq/Ng1uTt27fIls0zxXacnJwpX74i3br1SHbNxsbW7HNYWGiyOmFhYWTJ4vH/z3N+RJ07plicnZ1N9/1baGioKZ5/mzhxKh98MJjhwwczYcJUsxmcz+JxMebOnTfV7Tg5OSd7B0h6j3+/Q6lSfvz66xa8vYvg5eWNg4MDpUqVZubMqRw8uB9bW1vTIU6Ojk5YWFjQvn0nKleumqzth7ck+P+V+WaKFi3O1KmziI29z/79e5k7dyZDh77H6tXfpfrdJGVpe3ybiIiIiIiIiEgasXZxeXKlp6j3osXGxmJtbWNWtnHjerPPxYv7kilTJtat++GR7fj7l+P8+bPkzZufIkWKmv15eBbi/v37iI6ONn3et+9PIiMjKFq0OAC+vqW4e/cuf/yx21QnISGB7dt/xde3JAB58uTF1dWNrVs3m7X9yy+bsLGxoWjRYmblefLkY8aMpBPgR44cZrYk/Vn4+pb6/7j/mbl68eJ5zpw5bYoxte389tuvZodG/fnnbqKjo8xmv5YsWZpLly6yZcsmSpUq8/9lfty6dZOffvoeH59i2NomJaTt7e0pXrwEFy6cS/ZdFClSlBw53kh1fHZ2mQgICKJx46Zcu3aV2NjYVN8rKdOMUhERERERERHJkOy9vLF2c3vs8ntrN3fsvbxfYVT/KFu2PNOmTeLTTxdRrFgJdu/eyb59f5jVcXR0pFOnbsybNxuDwUClSlUwGIzs37+XWrXqUKRIUVq1asumTesJDn6H5s1b4emZnfDwMI4d+wsPDw9atmxras/BwYGBA/vSrt3bREVFMX/+bHx8ipn2JA0ICMLHpxijR4+gR49g3N2z8PXXX3Lnzm3at+8MJJ0+37FjF2bMmIKbmzsBAYH89dcRVq5cRvPmrZPNmgQoWLAQ06bNpV+/HowbN5Lhw0dh+Yz7wrZo0YaffvqBAQOC6dChM3FxsSxcOA9Pz+zUr98w1e106NCZnj07M3jwuzRr1pLQ0KRT7318ipntserrWxIrKysOHNhn6ks3Nzfy5cvPwYP76dChs1m7vXr1o1+/nnz44VBq1KiNk5MTt27d5M8/91C/fkP8/B59eNjvv+/gxx+/o3Llqnh6Zic09A5ff72aEiVKYmdn95Q9JQ9TolREREREREREMiQLS0uytmqb4qn3D2Rt1ealHuT0OI0aNeHq1St8/fWXrFy5nHLlKvDRR+Po3r2jWb22bd/G1dWN1atX8vPPP+Lg4ECxYr64uibtr+ni4kpIyFIWLpzHvHmziYyMwM3NnaJFiydb/l25clWyZvXk448nEBUVRdmy5Rg0aJjpupWVFVOmzGTu3Jl88sks7t+PwcurCNOmJZ3k/kCzZq2wtrZm1aqVfPvtV2TJ4kGnTt2SJQ3/zdu7CFOmzObdd3vz8cfjGTz4A9Op8E/D0zM7c+YsYO7cGYwePRxLSyvKli1Hnz4DcHDInOp2ihTxYdq0OYSEzGX48MFkymRPUFBlgoP7m06wB3BwyEzhwt6cOnXCbKZpqVJ+nD9/zrQ/6QMlSpTkk08WsXhxCBMmjCI+Pp6sWT3x9y9Lrly5HxtTrly5sLS0YMGCTwgPD8PZ2YVy5SrQvXvvVL+XPJqF0Wg0pnUQ8niJiQZCQ++mdRgvhbW1JW5umQkLu0tCgiGtwxF5LhrPkp5oPEt6ovEs6YnGs6QnzzOe4+PjuHPnGlmy5Ei2x+aziNq3l1urVpjNLLV2cydrqzY4lXn07D6Rf7O2ttRvcxp50m+Cu3tmrKye/A8emlEqIiIiIiIiIhmaUxl/HEv7EXPqJAkREVi7uGDv5Z1mM0lFJG0oUSoiIiIiIiIiGZ6FpSUO/1o6LiIZj/5pRERERERERERERDI8JUpFREREREREREQkw1OiVERERERERERERDI8JUpFREREREREREQkw1OiVERERERERERERDI8JUpFREREREREREQkw1OiVERERERERERERDI8JUpFRERERERERNLI4sUh1KpV6ZHXr127SlCQP1u3bn6qdvfv30tQkD8nThx73hBT1LFjG8aNG2n6/KT3eBqLF4cQFORP797dkl2bOXMqzZo1fOo21637gY0b17+I8J7Li+wnefGUKBUREREREREReU1lyeLB/PlLKVOmbFqH8sodOnSA/fv3vpC21q37gc2b0z5RKq83JUpFRERERERERF5Ttra2FC9eAmdnl7QO5ZWyt7fHx6cYn322OK1DeSHi4uIwGAwvrX2j0UhcXNxLaz+jUKJURERERERERDI8g8HIlQvh/H3sJlcuhGMwGNM6JCDlpffNmjVk2rRJrFmzmqZNG1CnThWGDn2PsLCwx7a1e/fv1KgRyOLFIaaydet+4O23W1G9ekUaN65HSMhcEhMTze47cuQQnTu3o3r1irRv34Jdu3amOu4NG9Yxbdok6tatRqNGdZgzZwYJCQmpeveOHbuyb9+fHDly6LH1oqKimDJlIo0a1aFatQA6d27HH3/sNl0PDn6Hgwf38/vvOwgK8icoyJ/Fi0NYv/4nqlULIDb2vqluhw4tqVKlPHfvRpvKunfvxNSpk0yfr1+/xvDhg6lTpwo1awYxYEAwZ86cNovpwXe0YsVnNG3agBo1AomMjEwx/qVLF1KjRiC7du0AkpKqISFzadq0AdWqBdC2bbNk2waMGzfy/7+LHbz9dmuqVQtg587tJCQkMHfuTJo0eZNq1QJo1KgOgwe/S3R0dEqPlodYp3UAIiIiIiIiIiJp6ezJW+zYfJq7Uf/MyMvsZEtQzUIU8M6ahpE92o4d27l8+RIDBrxPREQ4s2ZNY8aMyYwaNSHF+tu2/cKoUcPp2rUnbdq0B2DVqs+ZN282LVq0ITi4P+fPn2fBgk8wGAz07NkHgDt3bjNgQB8KFizE6NETiIqKYurUidy/H0Phwl5PjHPBgk+oVKkKY8ZM4MiRwyxZsoBcuXLRuHGzJ94bGFgJLy9vli5dyLRpc1KsEx8fz7vv9iY09A7duvUia9ZsbNy4jkGD+rFkyQoKFizEe+8NYcyYEdjZZaJ37/4AZMuWDYPBQHx8PH/9dRQ/P38iIsI5d+4sNja2HD58iICAQO7fv8/Jk8dp0aI1APfu3aVPn+5YWFgwcOBQbG3tWLZsCb17d2PFii/JkiWbWZ/nypWHfv0GYmlpib19pmTxz507k7Vr1/DxxzPx8/MH4MMPh3D48CE6depGvnz52LVrJ2PGjMDJyYmAgEDTvbdv32bGjCm8/XYXPD2z4+mZneXLl7J27Rp69uxD/vwFiIgI548/dhMfr9mmqaFEqYiIiIiIiIhkWGdP3mLDt8kPPLobFceGb49R539FX9tk6cSJ07C1tQWSZnAuX74Ug8GApaX5AuL1639i4sQx9O8/0JSgvHfvLosXL6BNmw50794bgLJlK2BjY83s2dNp06Y9Li6urF79BRYWFkyZMgtHR0cAsmXzpF+/nqmKsWjR4vTvP8jU/v79e9m69ZdUJUoB3n67Cx98MJhjx45StGjxZNc3bvyZv/8+yaeffkH+/AUAKF8+gEuXLvHpp4sYM2Yi+fMXwMEhMw4ODhQvXsLsfk/P7Bw8uB8/P38OHTqIh0dWfHyKcfDgfgICAjly5BAJCQmULOkHwE8//cD169dYvnw1+fLlB6B0aT+aNm3AqlUrTYlYgISEBKZMmYW9vX2yuI1GI1OnTmTLlk3MmPEJxYolvdv+/XvZsWM706bNoVy5CqZ+u3PnNkuWhJglSqOiIpkyZZbpXoDjx/+iXLnyNGnS3FRWtWqNVPW1aOm9iIiIiIiIiGRQBoORHZtPP7bOzs1nXptl+P9WqpSfKUkKkC9fARISEggLCzWr99133zJx4hiGDBlhlpw8cuQwMTH3qFatBgkJCaY//v7liY2N5ezZMwAcO3YUP78ypiQpQJkyZVO9Z+qDZN+/47x160aq37Ny5WoUKFCQTz9dlOL1P/7YTcGChcidO4/Ze5QtW54TJ5InwB9WqlRpDh06AMChQ/spWbI0pUr5cfDg/v8vO0CuXLnx8PAwfS5QoKApSQrg7OyCv395Dh06aNZ26dJlHpkkHTv2Q7Zt28qsWfPNEp1//LEbZ2cX/Pz8k73PqVMnzbZFcHFxMbsXwMurCLt2/c7ixSEcP/7XS90XNT3SjFIRERERERERyZCuXYowW26fkuioWK5diiBnXtdXE1Qq/TtxCWBjYwOQ7ECfbdt+wdMzOxUrBpmVR0SEA9C5c7sU2795MymZeefObXLlyp3supub2zPH+TSHDllYWNChQ2dGjvyAkydPJLseERHOqVMnqVq1QrJrVlZWT2y/VKkyzJw5hYSEBA4ePEDDho0oWrQ4n3wyk/v373PwYFLy9IGoqCjc3NyTtePu7s65c2fMytzcsqT4zPj4eHbs2I6/fzkKFiyU7H0iIyNSfB9I+j6yZfN8ZPsdOnTGwsKC9et/YunShbi6utGkSXM6deqGhYXF4ztDlCgVERERERERkYzp3t3UJexSW+91NHz4KObMmc6AAX2YOfMTMmdOSlw6OTkDMG7cx3h6eia7L0eONwDIksUj2SxV4IkHR71I1avXYsmSBXz66SKyZ89hds3Z2YWCBQszdOiIZ2q7ZMnS3L9/n/3793L69ClKlvQjb958ZMqUif3793Ls2F/Ur9/wX89z5uLFC8naCQ0NTTbL9lF5SVtbWyZPnsnAgX2YMmUCgwd/YLrm5OSMq6sbU6bMTPHefydpU2rf1taWLl2606VLdy5fvsRPP33PkiULeOONnNSt++bjukLQ0nsRERERERERyaAcMts+udJT1Hsdubu7M3PmPCIjIxg4sC8xMTEAFC/uS6ZMmbh16wZFihRN9sfFxRUAH59i7N+/z+zU9H37/iQyMuKVvYOlpSUdOnRmx45tnDnzt9k1f/9yXL16BQ+PrCm+xwM2NjbExiZPeOfJk5csWbKwbNkSnJycyZ+/AJaWlvj6lmLlymXExcWazSj19S3F2bOnuXjxvKksMjKSvXv/oGTJUql+p5IlSzFx4jTWr1/HzJlTTeVly5YjPDwMa2ubFN/nwczh1MiVKzfdu/fG2dmFCxfOP7G+aEapiIiIiIiIiGRQOXK7kNnJ9rHL7x2d7MiRO3X7cT6rxEQDW7duTlbu45P88KJnkTVrNmbOnEfv3t0YMmQAkyfPwMnJiS5devDJJ7O5efMmpUuXwcrKiqtXL/Pbb9sZN24ymTJlokWLNnz77VcMHNiXdu3eJioqisWLQ3Bxebl98rBateqydOlC9u/fazartG7dN/nuu28IDu5O69btyJ07D9HR0fz990ni4+Pp0SMYgLx587N+/Y/s2LEdDw8PPDyy4uGRdEiXr29ptm7dTJUq1UztlixZmnnzZpMtmyc5c+Yylb/5ZkNWr17JoEH96datp+nUeysrK1q1avNU71SmTFnGjZvMsGEDyZQpE92796Zs2QoEBlbivff60LZtBwoWLExMTAznzp3lypVLDBny+JmzQ4e+h7e3D4ULe2Nvb8/OnduJiorEz8//qWLLqJQoFREREREREZEMydLSgqCahVI89f6BwJoFsbR8uXs7xsXFMmLEkGTlI0aMxte31At5Ro4cbzBr1nx69+7GBx8MYsKEqbRu3Y6sWbPy5ZcrWLPmS6ytrcmZMxcVK1bC2jopZeTh4cGUKbOYMeNjRowYQs6cuRgw4H0WLPjkhcSVWlZWVrRv35GJE8ealdva2jJr1jyWLFnAsmVLuHPnNi4urnh5efO///1z8nvbth24cuUSY8d+RHR0FJ06daNLl+5A0sFYW7duNp1sn1RWBiBZ/zs4ZGb27BBmz57G5MnjMRgSKVGiJHPnLsTTMzsJCU93eFJAQCCjRk1gxIj3sbOzo2PHrowdO5nPP/+Ub775mhs3rpE5syMFChQ02wLgUUqUKMkvv2xm1arPSUxMJHfuvHz44RjKli3/VHFlVBZGo/H1O7pNzCQmGggNvZvWYbwU1taWuLllJizs7lP/mIi8bjSeJT3ReJb0RONZ0hONZ0lPnmc8x8fHcefONbJkyYGNzfMviz978hY7Np82m1nq6GRHYM2CFPDO+tztS8ZgbW2p3+Y08qTfBHf3zFhZPXkHUs0oFREREREREZEMrYB3VvIV9uDapQju3Y3DIbMtOXK7vPSZpCLyelGiVEREREREREQyPEtLC3LmdU3rMEQkDenUexEREREREREREcnwlCgVERERERERERGRDE+JUhEREREREREREcnwlCgVERERERERERGRDE+JUhEREREREREREcnwlCgVERERERERERGRDE+JUhEREREREREREcnwlCgVERERERERERGRDE+JUhERERERERGRNLJ4cQhBQf4p/lm+/NO0Du+1FRz8DkFB/nz00dBk1+7du0v16oEEBfmzbt0PT9XutWtXCQryZ+vWzaay1atXsmvXjmR1mzVryLRpk1LVblhYGLNnT6dVqyZUr16R2rWrEBz8Dj/+uJbExEQgaSzUqlXpqeJ9nQQHv8Pgwf3TOoznYp3WAYiIiIiIiIiIZGR2dnbMnDk/WXn27NnTIJr/Dnt7B3bu/I2YmBjs7e1N5du2bcXKyuqFPWf16i+oWDGIgIAgs/Lx4z/Gycn5ifdfvnyJvn17kJiYSMuWbSlSxIe4uDj27/+TWbOm4+LiSqVKVV9YvPLslCgVEREREREREUlDlpaWFC9e4qW0HRt7Hzu7TC+l7bRWokRJTp06zo4d26hVq66pfPPmjVSuXIUNG35+qc/38iqSqnqjRg0nMTGBRYuWkzVrNlN5hQoVadKkJXfvRr+sEOUpaem9iIiIiIiIiGR4BoOBm5f+5sKJfdy89DcGgyGtQzJJaTk4wMyZU2nWrKHp87p1PxAU5M/Ro4fp378XNWsGMXfuTADOnDnNgAHB1KwZRJ06VRg+fDDXr183a+/Bcv9PPplJgwY1qVWrMuPGjeTevbtm9aKiopgyZSKNGtWhWrUAOnduxx9/7Dar8/vvO+jfvxcNGtSidu0qdOv2Nrt3/25W50G8p06d4L33+lKzZhCtWv2Pn3/+MVX9Ym1tRdWqNdi8eYOpLCwsjL1791CzZt1k9VNaKr99+68EBflz7drVFJ/RrFlDrl+/xjfffGXaEuHBcv7ULL0/dOgAx4//Rfv2ncySpA9kz56dggULmZWdOXOanj27UKNGIO3bt2DPnl1m13/++Ud69uxCvXrVqVu3GsHB73Ds2FGzOg+W8T+prQfvsGbNapo2bUCdOlUYOvQ9wsLCzOql5jtPDzSjVEREREREREQytMt/H2L/1jXERIebyuwdXfGr1pRchUu+khgSEhKSlVlbP1vaZtSo4bz11v/o0KEzdnaZuHHjOr17dyNnzlyMGDGGuLhYFiyYR58+7/DZZ1/g4JDZdO+aNV/i5VWEDz4YydWrV5k/fw5xcbGMGjUBgPj4eN59tzehoXfo1q0XWbNmY+PGdQwa1I8lS1aYkn7Xrl0hMLAyrVu3x9LSgt27f2fQoH7MnDkPPz9/s3hHjx5Bw4aNadWqDd9/v5bx40fh41OMfPnyP/Fda9asw7vv9iYyMhJnZ2e2bt1MtmyeFC/u+0x997Dx4z9m0KB+lChRilat2gGQM2euVN9/4MA+AMqXr5iq+gkJCYwePZxmzVrRsWNXVqz4jOHDB/P11z/g4uIKwPXr16hb901y5sxFfHw8mzdvIDj4HT799Avy5Mn7VG0B7NixncuXLzFgwPtERIQza9Y0ZsyY/NTfeXqgRKmIiIiIiIiIZFiX/z7Ezh8WJyuPiQ5n5w+LCWzY5aUnS2NiYqhatUKy8rlzF1GyZKmnbq9Roya0a9fR9Hn27GkkJiYwffocnJ1dgKRl4+3aNWfduh9o1qyVqa6NjS0TJkwx7fFpZ2fHpElj6dy5O3nz5mPjxp/5+++TfPrpF+TPXwCA8uUDuHTpEp9+uogxYyYC0LRpS1ObBoOB0qX9OXfuLN9//22yRGmTJi1o0qQ5AMWLl2TXrh38+usWOnbs+sR3LVmyNG5u7mzf/gsNGjRm8+YN1KxZ56n77FG8vIpgY2OLu7v7M22PcPv2LQA8PVO332x8fDw9egSb9kPNkycvzZu/xe7dv1OnTn0AOnXqZqpvMBgoW7Y8x4//xc8//0j37r2fqq0HJk6chq2tLZA0g3n58qUYDAYsLS1T/Z2nB0qUioiIiIiIiEiGZDAY2L91zWPr7P91DW8ULIGl5cvbvdDOzo65cxcmK8+TJ98ztVexovmhQ4cOHcTPz9+UJAXImzcfhQoV5vDhQ2aJ0sDASmYHIVWrVoOJE8dw7NhR8ubNxx9/7KZgwULkzp3HbBZs2bLl2bjxnz1Bb968wYIFn7B37x/cuXMbo9EIgLe3T7J4y5X7J0lsb29P9uw5uHXrZqre1cLCgurVa7Fp00bKlq3AkSOHeO+9Iam690UyGo0kJCSQkGAwxfXvfrSwsEhVO5aWlvj7lzd9zpHjDezs7Lh585/+OH/+HCEhczl69DBhYaGm8kuXLjx1WwClSvmZkqQA+fIVICEhgbCwULJk8Uj1d54eKFEqIiIiIiIiIhnS7StnzJbbpyQmKpzbV86QLXfhlxaHpaUlRYoUfWHtubllMfscFRVJ4cJeKdaLjIx4qMzN7HPmzI7Y2tpx585tACIiwjl16mSKM2AfJAYNBgNDhgwgOjqarl27kzNnbuzt7Vm0aD43blxPdp+jo5PZZ2trG+Li4lLxpklq1qzDV199werVK8mfvwAFCxYiKioq1fe/CAcO7KNv3x6mz6VK+TFnzgI8PLICcOPGdXLlyv3Eduzs7LCxsTErs7GxIS4uFoB79+4yYEAwrq6u9OnzLp6eObCzs2XixLHJ+uxJbT3g6OiYrA5gai8133l6oUSpiIiIiIiIiGRIMXcjX2i9l+XBbL/4ePN9TKOiUo7r4dmLzs7OZjMPHwgLu0Pu3HkfKjM/xOfu3Wji4mLJksXj/9tyoWDBwgwdOuKR8V6+fIlTp04yYcIUKlWqaiqPjY195D3Po0gRH3LkyMlXX62ia9cej6xna2ub6j58lhiWLv2cxMSkGaUODg4AlC6dtM3Anj27UpUofZKjR49w8+YNJk2abpb8vns3Gkh+WNSLkJrvPL1QolREREREREREMiT7zM4vtN7L4ubmjrW1NRcunDOVxcfHc/Dg/lTd7+tbiu+//9Z04BHAxYvnOXPmNG+++ZZZ3Z07f6NPn3dNMwW3bt2ChYUFPj7FAPD3L8euXTvx8Mhqmi35sAcJUWvrf2YzXr9+jSNHDpE7d55UvvXTadfubXbu3E7t2vUeWSdrVk+zPgRSdXJ7ama4OjhkxsenqGnp/QMlS5bCx6cYy5cvpUqV6nh4eJhdv3HjOtHR0ak+ECk29j6A2UzRI0cOce3aVdP+oS9aar7z9EKJUhERERERERHJkDxyFsTe0fWxy+/tnVzxyFnwpcZhMBg4evRIsnI3Nzdy5syFpaUlVapUY82a1eTKlRsXF1fWrFmN0WhM1d6XLVq04aeffmDAgGA6dOhMXFwsCxfOw9MzO/XrNzSrGx8fx9ChA/nf/5px7dpV5s2bTdWqNUwn0Net+ybfffcNwcHdad26Hblz5yE6Opq//z5pOjwob958ZMvmyfz5czAYDMTE3GPx4hCyZn05Mx4BGjRoRIMGjR5bp1q16kyZMpElSxZQooQvu3bt5K+/kvf7w/Lly8e+fXv588/dODk5kyPHG2anxj/JRx+NpU+f7nTt2p6WLdvi7V3ElOj+5pvVDB8+KtWJ0mLFSmBv78C0aZNo164jt27dfOl9m5rvPL1QolREREREREREMiRLS0v8qjVN8dT7B/yqNn2pBzlB0gzMHj06JStv0KARQ4YkLXfu338wkyePY8aMj3FwyEzr1u3Jkycvv/326xPb9/TMzpw5C5g7dwajRw/H0tKKsmXL0afPABwcMpvVbdq0JeHhYYwZ8yHx8fFUrlyVAQMGm67b2toya9Y8lixZwLJlS7hz5zYuLq54eXnzv/81N9UZN24y06ZNYsSIIWTL5snbb3dm//69nDhx7Jn76Xk1aNCYK1eusHbtGlavXkmNGrXp3r03o0YNf+x977zTm6lTJ/LBB+9z795dhg37KFmC+XFy5crNkiWf8/nnn7F27dfcvHkDGxtbvLy86dv3PSpWrJTqttzdszBmzETmzp3BkCHvkTt3HgYNGsaKFZ+luo2nlZrvPL2wMD44dkxeW4mJBkJD76Z1GC+FtbUlbm6ZCQu7m2x6ush/jcazpCcaz5KeaDxLeqLxLOnJ84zn+Pg47ty5RpYsObCxsX3yDU9w+e9D7N+6xmxmqb2TK35Vm5KrcMnnbv+/IijIn169+tGmTfu0DuU/ydraUr/NaeRJvwnu7pmxsnryP3hoRqmIiIiIiIiIZGi5CpfkjYIluH3lDDF3I7HP7IxHzoIvfSapiLxelCgVERERERERkQzP0tKSbLkLp3UYIpKGlCgVERERERERERF27Nib1iGIpCnNIRcREREREREREZEMT4lSERERERERERERyfCUKBUREREREREREZEMT4lSERERERERERERyfCUKBUREREREREREZEMT4lSERERERERERERyfCUKBUREREREREREZEMzzqtAxARERERERERyYiCgvyfWGfYsI+oX79hqtrbv38vffv2YNGiZRQpUhSAxYtDKFeuAiVKlDSr+6jyF+3atas0b/6W6bOtrR2urq54exehVq16VKtWAwsLi5caw+Ns3/4rt2/fokmT5mkWg7w+lCgVEREREREREUkD8+cvNfvco0cnmjVrSc2adU1lOXPmSnV73t5FmD9/KXnz5jeVLV26EHt7h2QJ0UeVvyzdu/emdGl/EhLiuXHjOr/99isffjiEoKDKjB07GWvrtElR/fbbr5w4cUyJUgGUKBURERERERERwWgwknDzLsZ78Vg42GCdLTMWli93pmPx4iWSlWXLlj3F8tTInNnxme99XrGx97Gzy/TI67ly5TaLrU6d+nz33Td8/PF4Vqz4jLff7vIqwhR5LO1RKiIiIiIiIiIZWtyFcCLXHOfuhjPc++0idzecIXLNceIuhKdZTOvX/0S1agHExt43lXXo0JIqVcpz9260qax7905MnToJSFp6HxTkz4kTx4B/lvZ/8slMgoL8CQryN9VJqRzAaDSycuVyWrVqQrVqATRv3ogvv1xhFtvixSHUqlWJY8eO0r17J6pXr8iaNV899Ts2atQEH5+ifPON+b3nz59jyJAB1KlThZo1gxg0qB9Xrlw2XQ8OfofBg/sna2/Nmi+pXj2Q6Oik/omNjWX27Gk0alSX6tUr0rFjG7Zt22qqP27cSH7++UfOnTtr6odx40aarh89epi+fXtQs2YQdepUYeTIDwgLCzV7ZlxcHCEhc2natAGVKpWnbdtmbNy43qzO2bNnGDiwL/Xr16BGjUBat27CihWfPXV/ycunGaUiIiIiIiIikmHFXQjn3q8XkpUb78UnlVcF27yurzyuUqX8iI+P56+/juLn509ERDjnzp3FxsaWw4cPERAQyP379zl58jgtWrROsY3585cmW86fP3/+R5YDzJw5hR9+WEuHDp0pWrQ4R48eZt682djZ2dG4cTNT2/Hx8YwaNZwWLdrQvXtvnJ1dnuk9y5atwLJlS7h+/RrZs+fgypXL9OjRmQIFCjJs2EgsLS1YtmwJ/fr1ZOXKNdja2lKzZh1mzPiYyMgIs+du3ryBgICKODo6AjB69HD27NnFO+/0Ik+efKxf/xPDhw9mwoQpBAVVoWPHroSHh3Hhwnk+/HAsAG5ubkBSkrRPn+5UqBDIqFETuH8/hoUL5zFkyHuEhPyzZcKHHw7h8OFDdOrUjQIFCrBz52+MGTMCJycnAgICAXj//QG4u7szZMgIHB0duXz5Erdu3Xym/pKXS4lSEREREREREcmQjAYjMX9cfWydmD+uYpPb5aUvw39Y9uw58PTMzsGD+/Hz8+fQoYN4eGTFx6cYBw/uJyAgkCNHDpGQkEDJkn4ptvFgqfvDy/kfVX7lymXWrFnNwIFDadSoCQBly5bn/v37LF26kLfeaoKlZdLi5ISEBN55pxc1atR+rvfMls0TgDt37pA9ew6WLl2Is7Mz06fPxc7O7v/jLUmLFo348cfvaNKkOdWq1WDGjI/59ddfeOut/wFw/fo1jh49wujREwA4ffpvtm3bysCBQ2ncuCkAFSpU5Pr1ayxZspCgoCrkzJkLV1c3rl+/lmzLgvnz51CkiA/jx39sOmyqQIFCdOjQkl27dhAQEMT+/XvZsWM706bNoVy5ClhbW1KmTDnu3LnNkiUhBAQEEh4ezrVrV+jX7z2CgioD4Of35EO8JG1o6b2IiIiIiIiIZEgP9iR9HOO9eBJu3n1FEZkrVao0hw4dAODQof2ULFmaUqX8OHhw//+XHSBXrtx4eHi8kOf9+eceAKpWrU5CQoLpj79/Oe7cucPNmzfM6gcEBL2ApxoBeHDw/Z9/7iYoqDJWVlam5zs5OeHl5W3aUsDFxZWyZcuzZctGUytbtmzE3t6BihUrAZj6rXr1mmZPq169Fn//fZKYmJhHRnT//n2OHDlEtWo1SUxMNMWRO3cesmXz5PjxpDj++GM3zs4u+Pn5m/VX2bLlOXXqJImJibi4uJA9ew5CQubw888/JutDeb1oRqmIiIiIiIiIZEhPSpI+bb0XrVSpMsycOYWEhAQOHjxAw4aNKFq0OJ/8H3v3HSdVdbh//Ln3Ttm+7NI7C0jvUkSqIqBYk6hoDNGIaH6JGiyJJWpMviaW2EsiIJbYErtRARVUEEWlKVIUkKU3YWHr7M7Mvff3x4aRcXdpM9tmP+/XK8G958y5Z2fPzu4+c8o/HlJpaam+/LI8PI2X/Pz9cl1Xp59+SqXlu3btUosWLSVJSUlJSklJifmeu3eXL0HPzi4Pe/fv36+XXnpRL730YoW6Ho838t+nnDJef/3r7dq7d48aN26iuXPf1ciRoyOzUAsLC+TxeCpsCZCdnS3XdVVUVKjk5ORK+1RYWCDbtvXww/fr4Yfvr6TP5WFnfv5+FRTka/ToEyptZ+/ePWrWrLnuv/9RTZ/+D91//90KBALq2rW7rrrqGvXrV/lMYNQeglIAAAAAANAgGSnew1c6inrx1rdvf5WWlmrZsiVav36t+vYdoPbtOygpKUnLli3R6tWrNGHCmXG7X0ZGpgzD0D/+8YS83oqfc7t27SP/fWA5eqy++OIzNW3aTC1atIj0YejQYfrpT8+rUPfgYHbEiFHyer364IO5GjLkBK1bt1ZXXHFl1OcSDodVUFCgjIyMyPW8vDwZhqG0tPQq+5SWli7DMDRp0q80cuToCuWZmY0kSenpGWrUKEv33vuQJMmyTNm2E6mXlZUtqfx5u+OOuxUOh/X1119p+vTHdMMN1+j112fHJWxG/BCUAgAAAACABsnTLFVGiveQM0aNFK88zVJrsFc/aNeuvRo3bqx//etJpadnKCenoySpT59+euGFfykYLDvsjFKPx6NgsOyIrh9//CBJUn5+fmQ/zer05puv6ZtvVkcFnAMHDlZu7nc67riusiyrysempKTqxBNHaO7cd1VQkK9GjbI0cODgSHmfPv0kSR9+ODey3+qBj487rmtkNqnH41UwGIxqOzk5Wb169damTbnq1u03VfZh0KDBeuGFf8nj8apz5+Pk8ZgKh50q63s8HvXvf7wuuugS3Xjjtdqz5/uo8Bm1j6AUAAAAAAA0SIZpKHlwq0pPvT8geXCrGj/I6WB9+vTXhx/O1ahRJ0Wu9e3bX//85yNq1qy5Wrduc8jHt2+fo4ULF6hv3/5KTk5Wu3btlZKSWun1du3a66c/PU933HGbLrxwknr06KVwOKwtWzZr+fIluvPO+47589i6dYtWrvxath3Wrl07tWDBR/roo3kaOfIk/fznkyL1Jk++Qpdd9ktde+1VOuusnyg7O1t5eXu1fPky9e3bT2PHnhqpe8op4/XHP/5eO3fu0EknnSKP54eYq3Pn4zRq1El69NEHVFZWpnbt2uu992Zr5coVUZ9Hhw4dNGvWf/X++3PUtm07ZWY2UsuWrfSb3/xOv/vd/9Ntt92kMWPGKT09Xd9/v1uLF3+uCRPO1IABAzVo0AkaNmyErrvuKl100S/VpUsXFRWVKDd3g7Zt26Ibb7xV69ev06OPPqAxY8apdes2Kioq0rPPPqWWLVsd9muHmkdQCgAAAAAAGixf+0bS6PLT7Q+eWWqkeJU8uFV5eS3q12+APvxwbtTJ9v36HS/ph1mTh3LttTfooYf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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}