txt.ipynb

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          "text": [
            "Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
          ]
        }
      ],
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "get_ipython().run_line_magic('matplotlib', 'inline')\n",
        "import seaborn as sns\n",
        "from matplotlib import style\n",
        "import warnings\n",
        "warnings.filterwarnings('ignore')\n",
        "from sklearn.cluster import KMeans\n",
        "from sklearn.metrics import silhouette_score\n",
        "from sklearn.decomposition import PCA\n"
      ],
      "metadata": {
        "id": "JTzDC5z4j-7L"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "path=\"/content/drive/MyDrive/winequality-red.csv\"\n",
        "wine_df=pd.read_csv(path)\n",
        "wine_df.head()"
      ],
      "metadata": {
        "colab": {
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          "height": 206
        },
        "id": "4KhcTKBrjsuB",
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      "execution_count": 7,
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              "   fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
              "0            7.4              0.70         0.00             1.9      0.076   \n",
              "1            7.8              0.88         0.00             2.6      0.098   \n",
              "2            7.8              0.76         0.04             2.3      0.092   \n",
              "3           11.2              0.28         0.56             1.9      0.075   \n",
              "4            7.4              0.70         0.00             1.9      0.076   \n",
              "\n",
              "   free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
              "0                 11.0                  34.0   0.9978  3.51       0.56   \n",
              "1                 25.0                  67.0   0.9968  3.20       0.68   \n",
              "2                 15.0                  54.0   0.9970  3.26       0.65   \n",
              "3                 17.0                  60.0   0.9980  3.16       0.58   \n",
              "4                 11.0                  34.0   0.9978  3.51       0.56   \n",
              "\n",
              "   alcohol  quality  \n",
              "0      9.4        5  \n",
              "1      9.8        5  \n",
              "2      9.8        5  \n",
              "3      9.8        6  \n",
              "4      9.4        5  "
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              "      <th>fixed acidity</th>\n",
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              "      <th>quality</th>\n",
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              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>7.4</td>\n",
              "      <td>0.70</td>\n",
              "      <td>0.00</td>\n",
              "      <td>1.9</td>\n",
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              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>7.8</td>\n",
              "      <td>0.88</td>\n",
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              "      <td>2.6</td>\n",
              "      <td>0.098</td>\n",
              "      <td>25.0</td>\n",
              "      <td>67.0</td>\n",
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              "      <td>0.68</td>\n",
              "      <td>9.8</td>\n",
              "      <td>5</td>\n",
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              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>7.8</td>\n",
              "      <td>0.76</td>\n",
              "      <td>0.04</td>\n",
              "      <td>2.3</td>\n",
              "      <td>0.092</td>\n",
              "      <td>15.0</td>\n",
              "      <td>54.0</td>\n",
              "      <td>0.9970</td>\n",
              "      <td>3.26</td>\n",
              "      <td>0.65</td>\n",
              "      <td>9.8</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>11.2</td>\n",
              "      <td>0.28</td>\n",
              "      <td>0.56</td>\n",
              "      <td>1.9</td>\n",
              "      <td>0.075</td>\n",
              "      <td>17.0</td>\n",
              "      <td>60.0</td>\n",
              "      <td>0.9980</td>\n",
              "      <td>3.16</td>\n",
              "      <td>0.58</td>\n",
              "      <td>9.8</td>\n",
              "      <td>6</td>\n",
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              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>7.4</td>\n",
              "      <td>0.70</td>\n",
              "      <td>0.00</td>\n",
              "      <td>1.9</td>\n",
              "      <td>0.076</td>\n",
              "      <td>11.0</td>\n",
              "      <td>34.0</td>\n",
              "      <td>0.9978</td>\n",
              "      <td>3.51</td>\n",
              "      <td>0.56</td>\n",
              "      <td>9.4</td>\n",
              "      <td>5</td>\n",
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        "wine_df.shape"
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        "outputId": "187b5b89-6d43-4ede-fb9d-ed7aa9724d2e"
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      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1599, 12)"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "wine_df.info()\n"
      ],
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      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 1599 entries, 0 to 1598\n",
            "Data columns (total 12 columns):\n",
            " #   Column                Non-Null Count  Dtype  \n",
            "---  ------                --------------  -----  \n",
            " 0   fixed acidity         1599 non-null   float64\n",
            " 1   volatile acidity      1599 non-null   float64\n",
            " 2   citric acid           1599 non-null   float64\n",
            " 3   residual sugar        1599 non-null   float64\n",
            " 4   chlorides             1599 non-null   float64\n",
            " 5   free sulfur dioxide   1599 non-null   float64\n",
            " 6   total sulfur dioxide  1599 non-null   float64\n",
            " 7   density               1599 non-null   float64\n",
            " 8   pH                    1599 non-null   float64\n",
            " 9   sulphates             1599 non-null   float64\n",
            " 10  alcohol               1599 non-null   float64\n",
            " 11  quality               1599 non-null   int64  \n",
            "dtypes: float64(11), int64(1)\n",
            "memory usage: 150.0 KB\n"
          ]
        }
      ]
    },
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      "source": [
        "\n",
        "wine_df.isnull().sum()\n"
      ],
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        },
        "id": "fMfXwZxKlAyE",
        "outputId": "b846c619-74a6-4775-e472-324a1b551e2b"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "fixed acidity           0\n",
              "volatile acidity        0\n",
              "citric acid             0\n",
              "residual sugar          0\n",
              "chlorides               0\n",
              "free sulfur dioxide     0\n",
              "total sulfur dioxide    0\n",
              "density                 0\n",
              "pH                      0\n",
              "sulphates               0\n",
              "alcohol                 0\n",
              "quality                 0\n",
              "dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "wine_df.describe()"
      ],
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      },
      "execution_count": 11,
      "outputs": [
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            "text/plain": [
              "       fixed acidity  volatile acidity  citric acid  residual sugar  \\\n",
              "count    1599.000000       1599.000000  1599.000000     1599.000000   \n",
              "mean        8.319637          0.527821     0.270976        2.538806   \n",
              "std         1.741096          0.179060     0.194801        1.409928   \n",
              "min         4.600000          0.120000     0.000000        0.900000   \n",
              "25%         7.100000          0.390000     0.090000        1.900000   \n",
              "50%         7.900000          0.520000     0.260000        2.200000   \n",
              "75%         9.200000          0.640000     0.420000        2.600000   \n",
              "max        15.900000          1.580000     1.000000       15.500000   \n",
              "\n",
              "         chlorides  free sulfur dioxide  total sulfur dioxide      density  \\\n",
              "count  1599.000000          1599.000000           1599.000000  1599.000000   \n",
              "mean      0.087467            15.874922             46.467792     0.996747   \n",
              "std       0.047065            10.460157             32.895324     0.001887   \n",
              "min       0.012000             1.000000              6.000000     0.990070   \n",
              "25%       0.070000             7.000000             22.000000     0.995600   \n",
              "50%       0.079000            14.000000             38.000000     0.996750   \n",
              "75%       0.090000            21.000000             62.000000     0.997835   \n",
              "max       0.611000            72.000000            289.000000     1.003690   \n",
              "\n",
              "                pH    sulphates      alcohol      quality  \n",
              "count  1599.000000  1599.000000  1599.000000  1599.000000  \n",
              "mean      3.311113     0.658149    10.422983     5.636023  \n",
              "std       0.154386     0.169507     1.065668     0.807569  \n",
              "min       2.740000     0.330000     8.400000     3.000000  \n",
              "25%       3.210000     0.550000     9.500000     5.000000  \n",
              "50%       3.310000     0.620000    10.200000     6.000000  \n",
              "75%       3.400000     0.730000    11.100000     6.000000  \n",
              "max       4.010000     2.000000    14.900000     8.000000  "
            ],
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              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>fixed acidity</th>\n",
              "      <th>volatile acidity</th>\n",
              "      <th>citric acid</th>\n",
              "      <th>residual sugar</th>\n",
              "      <th>chlorides</th>\n",
              "      <th>free sulfur dioxide</th>\n",
              "      <th>total sulfur dioxide</th>\n",
              "      <th>density</th>\n",
              "      <th>pH</th>\n",
              "      <th>sulphates</th>\n",
              "      <th>alcohol</th>\n",
              "      <th>quality</th>\n",
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              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "      <td>1599.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.319637</td>\n",
              "      <td>0.527821</td>\n",
              "      <td>0.270976</td>\n",
              "      <td>2.538806</td>\n",
              "      <td>0.087467</td>\n",
              "      <td>15.874922</td>\n",
              "      <td>46.467792</td>\n",
              "      <td>0.996747</td>\n",
              "      <td>3.311113</td>\n",
              "      <td>0.658149</td>\n",
              "      <td>10.422983</td>\n",
              "      <td>5.636023</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>1.741096</td>\n",
              "      <td>0.179060</td>\n",
              "      <td>0.194801</td>\n",
              "      <td>1.409928</td>\n",
              "      <td>0.047065</td>\n",
              "      <td>10.460157</td>\n",
              "      <td>32.895324</td>\n",
              "      <td>0.001887</td>\n",
              "      <td>0.154386</td>\n",
              "      <td>0.169507</td>\n",
              "      <td>1.065668</td>\n",
              "      <td>0.807569</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>4.600000</td>\n",
              "      <td>0.120000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.900000</td>\n",
              "      <td>0.012000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>6.000000</td>\n",
              "      <td>0.990070</td>\n",
              "      <td>2.740000</td>\n",
              "      <td>0.330000</td>\n",
              "      <td>8.400000</td>\n",
              "      <td>3.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>7.100000</td>\n",
              "      <td>0.390000</td>\n",
              "      <td>0.090000</td>\n",
              "      <td>1.900000</td>\n",
              "      <td>0.070000</td>\n",
              "      <td>7.000000</td>\n",
              "      <td>22.000000</td>\n",
              "      <td>0.995600</td>\n",
              "      <td>3.210000</td>\n",
              "      <td>0.550000</td>\n",
              "      <td>9.500000</td>\n",
              "      <td>5.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>7.900000</td>\n",
              "      <td>0.520000</td>\n",
              "      <td>0.260000</td>\n",
              "      <td>2.200000</td>\n",
              "      <td>0.079000</td>\n",
              "      <td>14.000000</td>\n",
              "      <td>38.000000</td>\n",
              "      <td>0.996750</td>\n",
              "      <td>3.310000</td>\n",
              "      <td>0.620000</td>\n",
              "      <td>10.200000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.200000</td>\n",
              "      <td>0.640000</td>\n",
              "      <td>0.420000</td>\n",
              "      <td>2.600000</td>\n",
              "      <td>0.090000</td>\n",
              "      <td>21.000000</td>\n",
              "      <td>62.000000</td>\n",
              "      <td>0.997835</td>\n",
              "      <td>3.400000</td>\n",
              "      <td>0.730000</td>\n",
              "      <td>11.100000</td>\n",
              "      <td>6.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>15.900000</td>\n",
              "      <td>1.580000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>15.500000</td>\n",
              "      <td>0.611000</td>\n",
              "      <td>72.000000</td>\n",
              "      <td>289.000000</td>\n",
              "      <td>1.003690</td>\n",
              "      <td>4.010000</td>\n",
              "      <td>2.000000</td>\n",
              "      <td>14.900000</td>\n",
              "      <td>8.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-94ac35ed-666d-4632-ac9d-b7b44d1aba42')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-94ac35ed-666d-4632-ac9d-b7b44d1aba42 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-94ac35ed-666d-4632-ac9d-b7b44d1aba42');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.figure(figsize=(10,7))\n",
        "sns.heatmap(wine_df.corr(), annot=True)\n",
        "plt.title('Correlation between the columns')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 528
        },
        "id": "klbv5WDdlFg5",
        "outputId": "6f502f30-6a85-43c1-e3e2-99c2c53022df"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x504 with 2 Axes>"
            ],
            "image/png": 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0mwTK+K30Cj1akpFQ9B+Pr9WxMeWq+/B+xxeo3KQGvWYM5/M+eV+OR//ezbZvgxi77r086w4s38byqfOLHEsW/4BGeFT34bMO46jYxJ/ubwzl2z7T8pQ7uXo3u75dxah1OV+DsaHRLB/3Oa1G9Ci2mDIyFbOC9vPZgLZ4uzjy2Pz1dKjpg3/53Of5CeYPbo+rg9V5XrUCPw4PAMzz/PPVtKleoVjiur97J2rWqE7tuu1o1bIpH8+dRdt2PfOUmzTxWaKioqlbrz0igqenu7n8OX5a+geff7GAOnVq8sdvC6lRq/XNB2SxUPn1kZx67FXSwqOp9fu7XFm9nZQTF7KLpIVGcX7ch3iN6JNjU6dmtSnbvA7Huj0LQM1ls3FuXZ/4bXmT2cKoGtAI9+o+fNd+HN5N/OkwcyhLe03LU67jzGGsefErIvacoueCCdzVsSHn1+2nUps6VO/ajEXdJpGZmo6jeb1Mionjz+HvkhBxGc+7K9PruxeZ3+LZGwvOYsF/1pMc7D+dlLAYGq+cTUyua1RKyEWO5XONykxK4dgzH5F8Jhx7bw+aBL3FpbV7yYhNvOE2uqXugGHfUn/Dh4h8BvgBf4nIWBEZKiJzzXW/icgQ8/8jReR78/9dRWSriOwWkZ9ExNlc3l1EjorIbqBvAfVVE5GN5ra7RaSt1bqXROSAiOwTkdnmsvki0u9a+8+K2dxXL+BtEdkrIv5m2axyNa0f3yrNGzfAzdXlVleTQ5OuLdjy8zoATu85gZOLE24V3HOUSU1O5ejWQwBkpKVz7tBpPHzKAdBhQGfWLFhJYmwCAHHRsUWO6WBoDFU8ylLZoyx2Nha61a3MuhM5fzHn571nebSZH66O9gB4li2TZz+rjoZwj783jnZF/yzl0qQGSWfCST4fiUpLJ+rXzZTr1jxHmZQLUSQcOY/KVHm2v7zpIBkJSUWOw7VpDZLORJB8LhKVlkHEr1so371FjjIVujcn7Mf1AET+sQ2PdvUBKFurMpc2GW96aRdjSY9NwLWxHwA2TmW4a9QDnH3/5yLHWKdrM/b+vBGA4D0ncXBxwjnXOZW1Lj7qcpHrK4yaXZpxcNkmAEL3nKKMa1nKeuWNKXTPKRIi88Z0JfgiUUcv5Htsb9bBsEvGee6edZ5XYt2J8Bxlft53jkebVcfV4Rrn+bFQ7vErnvMcoGfPbiz8fikA/2zfjZu7Gz4+eT9ADX18ALPf/AgApRTR0ZfM/4OrqzMAbq6uhIVFFCkep8Y1STkbRuqFCFRaOpf+2Ihbl1Y5yqQGR5J89CzkPj5KYSljh9jZIva2iK0NaRdv/pyr3rUZR83zKMI8j5xynUdOXu7YOzsSsecUAEeXbcLPvFbUH9yZXZ/8QWZqOgBJ5vXy4qFzJEQYccUcC8bWwR6L/Y0dT5cmNUjOdY3y7Jbz2pByIYrEI+fy3DWbdDqM5DPGuZcacYnUi1ewK4YP8sUuM7P4/kqpUp/8KaVGAaFAgFLq/VyrRwCvikh7YBzwjIiUB6Zg9BQ2BXYCL4iIA/Al0BNoBvgUUGUk0MXc9lFgDoCI3A/0BloppRoBb1lvVJj9K6W2YPQATlBKNVZKnQKuiEhjs8gw4JvCtcy/i4d3OWJCo7Mfx4THZCd2+XF0daLxfc05snk/AN5+FfGp7svEpW8w+ZeZ1O/QuMBtCysyLhkfV8fsx94ujkTG5eyROhcTz7mYeB5fsJ7B89ex+VTeN5jAw8HcX7dykeMBKOPrSYpVO6WExWDvW3A73SoOPp4kW8cRGk0ZH48cZcr4epISYpRRGZmkxyVi5+lC3OFzlO/WHLGx4HBXBVwa+lGmovEc/F5+lPOfLicjKbXIMbp4e3AlNCb7cWx4DK65Yryeeve34Om/ZjPgk+dw8/Usekw+HsRatVtceAwu3jcWU3GLjEvGx6WQ5/nCjQxesIHNp/M7z0O4v26lYourUkUfgi+EZj8OCQ6jUsWcl003NyMxmD7tRbb/s5LFiz7Hy6u8sez1dxk0qC9nT+/kj98X8NzzU4oUj51POdLCLmY/Tgu7iN01rlHWEncfI37rAervmE/9Hd8Su2EPKSeDr79hAZx9PIi3Oo/iw2JwznVuO/t4EB8Wk28Zdz8fKra8m36/T+Ohnybj1cgvTx3+PVoQdeBsdoJYWMY16mo7pYZFU+YmXjvOTWpgsbMl+WzRknbt5pT65O9alFIRwKvAWmCcUioGaA3UBTaLyF7gcaAqUBs4o5Q6Yf5UyncF7NYO+FJEDgA/mfsC6Ax8o5RKNOuOybVdYfef21fAMBGxwUg2f8hdQERGiMhOEdn51YJFhdztv5fFxsKoOWNZPX8FURciAbCxscG7ui9vDZjK5898wNBZo3B0dbrlsWRkZnI+Jp6vHmvP7D4tmL5iD7HJVxOXqPhkTkbG0sbP+5bH8m8R9sNaUsKiaRE0i1qvP86VHcdRmZk416uKYzVvov4qnnlsRXV09W7eafccc+9/mVObDvDwu6NLOqQSk5GpjPN80D3M7tWM6X/tJTY5LXt9VHwyJ6NiaVO9GKY23ABbWxuqVKnIlm07admqO9u27eKtN42h/QGP9mHBgp+o5tecnr2GMH/+HETktsaXxb6qL2VqVOZQ6+EcajUMl7YNKdui7vU3vEUsthYc3J1Z2msam2csovsnT+dY71mrEm0nDWDtxHklEp+dlzt3f/QMx5//OHs6SGmiVGax/ZVW/5Y5f9fSAIgGsmbaC7Aq92/lWfWuXc9YIAJohJEcF31y0rUtw/gR5zXALqVUdO4CSqkvgC8A0i6eLn2vlAJ0Gtydewca87/O7DuFZ8Wrn6I9fTy5FJ7nqQLw+KxRRJwJY9W8P7OXxYRHc2bvCTLSM7gYHEn4mTC8q/lydv+pm47Py8WB8NirQ6QRcUl4uTjkKOPt4kj9ip7Y2Vio5F6Wqp7OnI9JoH5FY3gs6HAwAXdXxM6meD5HpYTFZPeSgfEpOzUs/3a6lZLDY3CwjqNiOVLCL+UokxIWQ5lK5UgJi0FsLNi6OJEWEwfAiVcXZJdrtnw6SafCcG9TF9dGfrTd8RFia4N9eTea/vwqu/tOL3RcrQZ3oflAYw5ayL7TuFW82uPg6uNJbK4YryXpcnz2/3cuXku3lwcVeltrTYd0pvEAI6aw/adxtWo3Fx9P4iIKH9Ot4OXiQHhcYc5z95zn+aV46vsaPUlBR0IIqOVb5PN89KjHeeKJxwDYuXMvlatcvUGqUmVfQkJzDkdHR18iISGRX35ZAcDSZcsZNmwAAMOGDeCBB/8HwLZ/duFQpgzly3sSFXVzr5e08GjsfMtnP7bzLU9aAdeo3Ny6tyZxz3EyE423i9i1uyjbtDYJOwo/tbvB452pa57bkftO42x1Hjn7ehKf69yOD7+Es1WPm3WZ+LBLnDI/ZEXuPY1SCgdPF5Jj4ijr40mPL59n1fOfEXsustDxZTGuUVfbyd7XuAYUlo2zI/W/m8S52YuI233ihuu/LUrxcG1x+Vf3/IlIS+B+oAkwXkSqA9uAe0SkhlmmrIjUAo4C1UTE39y8oB9SdgPClJGyDwZszOWrMHronMz95u7nLuz+44DsCXdKqWQgEPiU/9iQ75qFK5nWYwLTekxgT9B22vbtCIBfk5okxiVyJZ95WA+NG4CjixOLpudsij1B27m7dT0AnD1c8KnuS9T5og0X1KvowflL8YRcTiAtI5PAw8F0qJnzLsaAWhXZeT4KgEuJKZyLiaey+9Uex5XFOOQLELf3JI5+vjjc5YXY2VKhzz1EB+0stv0XOo49p3Dy88HhrgqInQ3efdpyMTBnHBcDd+LbvwMAXj1bc2mTMV/T4miPxcmYM+Z5bwNUeiYJx0MI+XYVmxqNZkuLZ9jVayqJp8NuKPED+GfhKj7uMYmPe0zicNBOGvdtD0DlJjVIiUu6obl91vMDa3dpRtSpkGuULtjuBauZ12My83pM5njQLuo/3A6Aik38SYlLzHdu3+1Uz9ed8zEJVud5CB1q5BxeDajlw87zRqJz9Twvm71+5ZHiGfL99LNvad6iK81bdOX33wMZ/Fg/AFq1bErslVjCw/MmI8v/XEXHDsbU604B7ThyxEgYLpwPoVOA0da1a9fAwaHMTSd+AIn7TlCmekXsq3gjdrZ49GxP7Kp/CrVtWkgUzq3qgY0FbG1wbl2f5JMXrr+hlQPfrmZJ98ks6T6Z04G7qG2eR95N/EmNSyQx13mUGHmZ1PgkvJsYbzm1H27HmaBdAJwO3EmltkbPo3t1H2N4NSYOe1cnen47ji2zlhC+8+YSr7i9J3Hw86WM1TUqJqhwvfliZ0vdb14k4qf1Ob6lQLv9/rU9fyJSBmOO3TClVKiIjAPmAZ2AocAiswzAFKXUcREZAfwpIonARqySMCufAMvMG0lWAgkASqmVZu/hThFJBVYAk7I2UkolF3L/izGGlZ8F+pnz/r4HHgKCitAkhTZh6mx27NnP5cux3Nfnfzz1xGAe7tntlta5f+1uGgY0Zfb6uaQmpTBvwifZ66ateJtpPSbg4eNJz2f6EXoymKl/GlMq//52JRuX/M3B9Xup174Rb6x6n8yMTH6ctZAEq56bm2FrsfBy10aMXryZzEzo3agqNSq48sn6w9T19aBjLV/a+nmx9UwEfT9fjcUijO1UH3czsQm5nEB4bBLNqpa/Tk03ICOTk5O+pv6iycbXKCxaS+KxYKq++Chxe08RE7QT58b+1Js3AVv3spTr0oyqE/qzq8MLADT6dTqONSth4+RAq92fcfyFT7m0bt8Nh6EyMjk2cR5NFk8CGwthi9aRcCwYvxcfIXbfaS4G7iL0h7XUnfs0bbZ9SNrleA6ONL56x768G40XT4JMRUp4DIefnlt87WPl+Nq91ApozAvr3yc1KYWfJ3yevW7Mipl83MN4eXZ7eSANe7fFztGeCVs/YteSdaz5YBlthnWjdudmZGZkkHQ5nmXjPy+oqkI7tWYv/gGNGLXhXdKSUvlz/BfZ64avmMG8HpMBCJg4gLpmTGO2zWHf4nVs+uBnfBv60feL53Fwc6Jm5ya0H/swX3V5uUgxGed5Q0Yv2UqmUvRueJdxnm84Ql1fdzrW9KVtdS+2nomi75d/G+d5QD3czZucQi4nGuf5XcV4ngMr/vqb7t07cezIZhKTknjyyRey1+3cEUTzFl0BmDhpBt9+M4d3353GxagYnvi/sQBMeGk6n3/6Ns89938opXjiybFFCygjk+BXP8dvwTTExkLMj6tJPnEBnxcGkbj/JLGrt+PYsAbVv5iEjZszrp1b4DN2EMe6PM3lFVtwbtuQ2kEfgVLErt9N7N83P73h3Jq9VO3UiMGb3iU9KZW/x109jx5dOYMl3Y3zaP3k+dz33ghsHew5t3Yf59Yar/UjS9Zz3zsjGLh6FhmpGawea5zbDYd2wa2aNy2ef4gWzz8EwO+PvZl9Q0hh2+nUpK+ov2gKYmMhYtGafK9Rdee9iK17WTy7NOeuCY+yu8NYyvdqg2vrOth6OOP9aEcAjj/3MQn5fEVTiSrFw7XFRVQpHG+/04jIeMBNKfXK9cqWxmHfkc1fLOkQ8vj4tRolHUIeO166+SHqWyVNlc7O/7WONtcvdJuVLYVt9fy0on+vZHFzGfn99QvdZjt9m5V0CPnalFn67nRtlHarZzrduPbhS2/rZM6Uo+uL7X22TO0OJTMR9Tr+tT1//xUi8gvgj9FjqWmapmmadkvp5K+EKaUeKukYNE3TNE0z3QHDvjr50zRN0zRNy6Lv9tU0TdM0TdP+S3TPn6ZpmqZpWhY97KtpmqZpmnYH0cO+mqZpmqZp2n+J7vnTNE3TNE0zKZVR0iHccjr50zRN0zRNy3IHzPnTw76apmmapml3EN3zp2mapmmaluUOuOFDJ3//MqXxd3Q/3/lWSYeQh3+t3iUdQh6zHBqVdAh5uGeUzrkttdJK36CEV3p6SYeQx/JJISUdQh6H/RuUdAh5zE6yL+kQ8uVmU/rOqV9UbEmHkMfft7tCPeyraZqmaZqm/Zfonj9N0zRN07QsmaVzRKQ46eRP0zRN0zQtix721TRN0zRN0/5LdM+fpmmapmlaFn23r6ZpmqZp2h1ED/tqmqZpmqZp/yW650/TNJH97kcAACAASURBVE3TNC2LHvbVNE3TNE27g9wByZ8e9tU0TdM0TSshItJdRI6JyEkReTmf9XeJyFoR2SMi+0WkR1Hr1D1/mqZpmqZpJqVu35c8i4gN8DHQBQgGdojI70qpw1bFpgA/KqU+FZG6wAqgWlHqLfXJn4hUA5Yrpepfp0xbpdQP5uPmwBCl1LMiMhRorpR6+hbFNx3YoJRanWt5R2C8UupBEekF1FVKzRaRPsDxXAe22A2aOpwGAU1ITUrl6/FzOX/oTI719g72jP5kHF5VfcjMyGTf3ztZ+ub32etbPNCG3s/3Rym4cOQsXzz34a0Mlykz32PD5u14erjz63ef3dK6cntt1ssEdGlPUlIy48ZM4eD+I3nKLPl9Hl7e5UlOTgHgfw+PJPpiDP0G9mbyay8QHhYJwLdfLWLxwp8LVa9vx4Y0f30wYrFwctE6Ds/9I8d6i70tbeeMwrNBdVIuxbFp1FwSgi8CUO/pnvgP7IjKzGTnlAWErT8AQOv3/o9KnRuTfDGWPztNzN6Xe927aDl7GHZlHYgPjmLzmE9Jj0+6ZnwVAhpR940hiI2FC9+v5dRHv+eJr9Hcp3BrWJ3US/HsGfEhSReM+Fzq3kWDt5/A1tkJpTLZ3G0KmSlp3D2xP5UeuRc797IE+g0rVDvl1mL6YCp1akxGUgqbx35BzMGzecp4NqjGPe+PxMbBnpA1e9nx6kIAqj7YkkYv9MWtZkVWPDCV6P3G66KMhzMdvniWco38OPXjBrZPWVDoeMoHNKLOG4+DjYXg79dwJlc7ib0tDeeOwbVhddIuxbNvxIckXYjC9+F7qP5Uz+xyLnXvYkvnicQdOofY2VB31nA829ZFZWZyYtYSIv7cXuiYvAMa0mT6YMTGwukf1nEsn3Or5ZzReDSsRsqleLaN/IjE4It43VufhpMHYLGzJTMtnX3TfyBq82FsHO1p88WzlK3mjcrIJCxoNwdmLil0PPlxatcMr0mjwWLhytKVXPrqxxzr3R/vi1u/bpCRSUbMZcKnvE96aCS2Fb2o+NGrIILY2XL5u9+4smRFkWKxVtqvnQ9NfZw6AU1IS0ph0fhPCT50Nsd6Owd7hn7yPOWqGsfq0N+7Wf7momKNAWDM9Kdo1akFKUkpvDX2HU4cPJmnzKzvZlDOyxMbGxsObD/InMlzyczMxK+OH2NnP4tDWUciLkQw85nZJMYnFnuMN+32Dvu2BE4qpU4DiMhioDdgnSMowNX8vxsQWtRKS33yV0jVgEHADwBKqZ3AzttRsVLq1UKU+R3IekfoAywn54EtVg06NsG7ui8TOz6DX5OaDJkxgjf6TMxTLvDL3zm69RA2drZM+H4qDTo24cC6PXhV86HHU32Z+fAUEmMTcCnnmk8txatPjy4MergXk15/55bXZS2gc3uq+Vfl3uYP0KR5Q2a8O4XeXR7Lt+xzI19m/968h+2PXwJ59aWZN1SvWIQWMx9nzYDZJIbF0H3FdIIDdxF74upr2n9gR1IvJ/D7PeOo2rs1TaYMYNOoubjWrEjV3q1ZHvASjt4e3LfkZf5oNx6VqTi9ZAPHvllF2w9H5qiv9TtPsnv6D0RuO4rfgHupO/oB9r+9tOAALUK92cP4p/9MkkOjaRc4g4jAXcQfD8kuUmVQAGmXE1jXeiy+fdpQ+5VB7BkxB7Gx0PjjMewd8zFxh89j5+FMZprxA/YRQbs5+3UQHbe9f0PtlaVSp0a4Vvfh13bjKN/Un1azhvJXz2l5yrWeNYytL37Fxd2nuG/hBCoGNCR07X4uHw1m3f99SOvZw3OUz0hOY+9bS3GvXRn3uysXPiCLUHf2cHb0n0FyaDRtAmcSGbiLBKt2qjwogLTL8Wxs/Tw+fdpQ65VB7BvxIWHLNhO2bDMAznWq0HT+eOIOnQPA//mHSL14hY1tx4IIdh7ONxRT05lD2fDoLBLDYuj81+uEBu0mziqm6gM7knolgb/ajqNK79Y0nDKQbaM+IjUmjk1D3iE54jKud1fm3kUvsbzpMwAc+3QFUVsOI3Y2dPhpEj6dGhG+Zl/h48oRowWvV8YQ8sQk0iIuUvXHOSSs3UbqqfPZRVKOnOT8I3+iklNwG/AAFcY/QdgLs0iPiuHCgLGotDTEyYFqv39O/JptZETF3FwsVkr7tbNOx8ZUqO7LzI7PU7VJDfrNeJIP+kzJU27tl8s5ufUwNnY2PPX9K9Tu2Jij6/YWWxwtO7WgcvVKDGk3jDpNa/PcrGd5uuezecq9PmpGdlI39YtX6PDgvaz9fR3j3h7L5298wf5tB+j+aDf6j3qE+e98W2zxFdnt/aqXSsAFq8fBQKtcZaYBQSLyDFAW6FzUSm/7nD8RmS0iY6weTxOR8WJ4W0QOisgBEXk0n22richGEdlt/rU1V80G2ovIXhEZKyIdRWR5PttXEJFlIrLD/LvnBupARF4yY9snIrPNZfNFpJ/5/+4iclREdgN9rbYbKiJzzX31At42Y/U3y2aVq2n9+GY16dqCLT+vA+D0nhM4uTjhVsE9R5nU5FSObj0EQEZaOucOncbDpxwAHQZ0Zs2ClSTGJgAQFx1b1JCuq3njBri5utzyenLr2iOAZYuNvHzPzv24urrg5V3+ltdbrok/cWcjiD8fRWZaBud+20aVbs1ylKncrSmnf9oIwPnl2/FuVw+AKt2ace63bWSmppNwIYq4sxGUa+IPQOQ/x0i9FJ+nPhc/HyK3HQUgfMNB7nqgxTXjc29ag8Qz4SSdi0SlZRD661a8uzfPUca7ezOCf9xg7POPfyjfzuicL9+xIXGHzxN32HgjT7sUD5kKgMu7TpISebnwDZVLlW7NOLV0EwAXd5/C3q0sjl45z21HL3fsXBy5uPsUAKeWbuIuM/YrJ0OJPRWWZ7/pSSlE7jhORkraDcWTu53Cf92STzs1J9Rsp4g//qGceRyt+T50D2G/bsl+XGlgAKfn/GY8UIq0mLhCx+TZxJ/4sxEknI9CpWVw4bdtVMp1blXs3oyzZkzBy7fj1d6I6fLBcyRHGMcn9lgwNg72WOxtyUhKJWqL8cFHpWVw+cBZHH09Cx1Tbg4N7ybtfBhpweGQlk7sivWU7dQmR5mk7ftRZk978r6j2Ga9LtPSUWnGcRJ7OxC56ThyK+3Xzvpdm7PjZ+O4ndtzEkcXJ1xzxZeWnMrJrYfN+DIIPnQGd5+bP1b5uadrW4KWrgLgyO6jOLuWxdMrbx1ZiZ+NrQ12dnYoZVwHKvtVZv82Y7Ri14bd3NujXbHGV5qIyAgR2Wn1N+ImdjMQmK+Uqgz0ABaKSJHyt5K44WMJ0N/qcX9zWV+gMdAII6t9W0R8c20bCXRRSjUFHgXmmMtfBjYqpRorpa7VpfAh8L5SqgXwMPBVPmXyrUNE7sfoim2llGoEvGW9kYg4AF8CPYFmgE/uHSultmD0AE4wYz0FXBGRxmaRYcA314i/UDy8yxETGp39OCY8JvvilB9HVyca39ecI5v3A+DtVxGf6r5MXPoGk3+ZSf0OjQvc9t/Ox9eLsJDw7MfhoRH4+HrlW/aduW/w1/qfeHZ8zl61Hj07E7hxGZ/NfxffSt6FqtfRx4PE0Ks9FYlhMTj6euQo4+TjQYJZRmVkkhabSBlPZxx9ry7P3tYn57a5XTkeTOXuRgJw14OtcKp47TcDBx8PkqzOoeTQaBxy1eHg60lySPTV+OISsfN0oay/L0opWi5+mXarZuI3pifFxcnHg0SruBLDYnDyydtuiWEx1yxTXMr4eOZqpxjK5HqjLePrSZJVO6XHJWHnmfODjm/vNoT9YvQC2ro6AVDzpf60WTWLxl8+j30Ft0LH5OjjSWJIzjbKfX44+niQlOvcsvfM2btY6YGWXDpwlszU9BzL7Vyd8O3SlMiNBwsdU262XuVID4/KfpwecRE774KvUW4PdyNh49XBHFuf8lT99VP81iwk5uufiqXXD0r/tdPN25PLVvFdDo/B7RqJnYOrE/Xua8qJzTd/rPJT3qccUaFXj19U2EXKF9BOs7+bybK9P5KYkMiGP40Ps+eOn+Webka/SocH76VCxQrFGl+RZWYW259S6gulVHOrvy9y1RYCVLF6XNlcZu0J4EcApdRWwAEoUi/FbU/+lFJ7AC8RqSgijYBLSqkLQDtgkVIqQykVAawHcndP2AFfisgB4Ceg7g1W3xmYKyJ7MZIwVxHJPZ5SUB2dgW+UUonm88h9takNnFFKnVDGx5vvChnTV8Awc9Lno5hD19asPzkciztdyN0WjsXGwqg5Y1k9fwVRF4x5azY2NnhX9+WtAVP5/JkPGDprFI7mG9Kd6tmRL9O1XV/6PfA4Lds05eFHjYRm9cp1tG3cjW7tH2bj2m289/GMEo40f9te+JJaj3em+8rXsXN2yPOGXpwsNhY8W93Nnqc+Zkuvafj0aE659nl7uzSDW9MaZCSlEH80GACxtcGxUjku7TjO1i4TubzzOHdP/d9tjcm1ViUaThnArhe/zrFcbCy0+vRpTn4dSML5qAK2Ll4uPTtRpn5NLn19dZpCevhFzvUZzZluw3Hr3Rmbcu7X2MOtUdqvnRYbC0PmPMuG+SuJNuMrCS//bxKPNBuAnb0dTe4xkuG3x71HryE9+XTFxzg6O5KeduuuRzdFZRbf3/XtAGqKSHURsQcGcHWaWJbzwH0AIlIHI/kr0guwpOb8/QT0w+gdu5FZw2OBCIzeQQuQfIP1WoDWSqlrbVfUOm7UMmAqsAbYpZSKzl3A/KTwBcDwav1UfjvpNLg79w68D4Az+07hWfHqpzBPH08uhefZLQCPzxpFxJkwVs37M3tZTHg0Z/aeICM9g4vBkYSfCcO7mi9n95+62edYqgx5YgADhzwMwP49B/GtdLWT1qeid/bNG9YizGUJ8Yn8unQFjZo2YNmSP7h86Up2mUULlzHxtbGFiiEp/FKO3jcnX0+Swi7lKJMYfomyFT1JCotBbCzYuTqREhNPUpixPMe24Tm3zS32ZBhrBr4JGEPAFe+7do9EcvglHK3OIYeK5UjOVUdyWAwOlcqRnBWfixNpMXEkhcUQs/Vo9lBl5Oq9uDWoTvTGQ9essyB3P96Zmo8FABC99zROVnE5+XqSGJ633Zx8Pa9ZprikhMfkaidPUsJzfi5MCYvBsVI5Usx2snVxzDGM69unLWG/XB3yTYuJIz0xOfsGj/A//qHSoIBCx5QUHoNTpZxtlPv8SAq/hGOucys1xpgu4OjrSdt5Y9n+7GcknMv5Wmj29hPEnw7nxJcrCx1PftIjo7H1udrbY+tdnrSIvNcopzZN8Bw5gOAhE7KHeq1lRMWQcuIsjs3qEx+06aZiKe3XznsGd6XNwE4AnN93Cner+Nx9PLkSnn+vZ/9Z/0fUmTA2zPvrpuu21vvxnvQYZHzDyLF9x3L01lXwLc/FAtoJIC0ljS2BW2nbrQ27Nu7mwqkLvPSYMZeycvVKtL6vZbHE+G+klEoXkaeBQMAGmKeUOmTeTLrTvGdgHEan1FiMmz+Gqqwx9JtUUt/ztwQju+2HkQgCbAQeFREbEakA3Avkvr3NDQhTSmUCgzEaCiAOKMyEsSDgmawHVsOthaljFUYPnZO5be6+9qNANRHxNx8PLCCGHLGaiWgg8ClFGPJds3Al03pMYFqPCewJ2k7bvh0B8GtSk8S4RK5E5Z1n9dC4ATi6OLFoes5q9wRt5+7WRk+Ns4cLPtV9iTofcbOhlToLvl7M/R0e4f4OjxD45xoeHtALgCbNGxIXG09kxMUc5W1sbPDwNHoWbG1t6dztXo4fOQGQY35gl/s7cvJ44Xpmo/eexqW6D2WrVMBiZ0PV3q0JDso53TMkaDd+j7QH4K4HWxKxyZjHExy0m6q9W2Oxt6VslQq4VPches+131zKZE08F6H+c705sfDva5a/sucUZf18cLyrAmJnQ8U+bYgI3JWjTETgLir3vxcAn56tuLjJSO6i1u7HpU4VLI72iI2Fcm3r5LhR5EYd+3Y1y7tOZnnXyZwP3IV/P2N+UPmm/qTFJpKUaw5hUuRl0uKSKN/UeCn692vHhVyxF5cre07hZNVOPn3aEpmrrsjAXVQ028m7ZyuiN1klwSL49GqdY74fQFTQbjzvMQYdyrWvn+MGkuu5tPc0ztV9cKpixFSld2tCc8UUGribamZMlR9sSaQZk52rE+0WjufAzMVE7zieY5t6Lz2CnasTe807p4si+cAx7KpWxLaSN9jZ4tqjAwlrt+UoU6aOP17TniF0zDQyYq5+yLL1Lo+UsQfA4uqMY7N6pJ4JvulYSvu1c/PCIN7p8TLv9HiZg0E7adHXOG5Vm9QgKS6R2Hziu39cfxxcnPh1euHvWr+e3779g5HdRjOy22g2r9xC135dAKjTtDYJcQnEROZMQh2cHLLnAVpsLLS6ryXnTxr3NbibPbUiwmPPDeKPhX9SqhTjsG9hKKVWKKVqKaX8lVIzzGWvmokfSqnDSql7lFKNzCljQUV9iiXS82dmtS5AiFIqa/b1L0AbYB9GZvuiUirc/BqXLJ8Ay0RkCLASSDCX7wcyRGQfMB/YU0DVzwIfi8h+jOe+ARiVq0y+dSilVprJ4k4RScX4np1JVs8p2ZzI+aeIJGIks/klpIsxMvhngX7mvL/vgYcwktMi2792Nw0DmjJ7/VxSk1KYN+GT7HXTVrzNtB4T8PDxpOcz/Qg9GczUP43pi39/u5KNS/7m4Pq91GvfiDdWvU9mRiY/zlpIwuW8NxEUpwlTZ7Njz34uX47lvj7/46knBvNwz263tE6ANas2EtDlXjbuWkFSUjLjn75659xf63/i/g6PYF/Gnu+Wfo6tnS02NhY2rd/GDwuWATBsxGN0ub8j6ekZXL50hXFjXilUvSojk52Tv6XTDy8iNhZOLV7PleMhNJzwMNH7zhAStJuTi9bTds4oem1+l5TL8WwePReAK8dDOPfHPzy47k1jP5Pmo8wbKu75ZAzebepQxtOZh3bOYf+7yzi1aD3V+rSh1lDjBrELf+3k9OIN143v4MT5tFw8EbGxELxoHfHHgqn1Yj8u7ztDZOAuLvywjsZzn6LjtvdJuxzP7pEfAZB+JYEzn62g3coZgCJy9V4iVxsvydqvDKJi37bYONrTac9cLny/lhPvLCv08Qr5ey+VOjXioc3vkp6UypYXrk6feTBoBsu7Tgbgn0nzafv+CGwd7AlZu48Q867UKt2b0/KNITh4utBpwXguHTrH6seM87/vtvexc3bEYm9Lle7NWT1wNldOXPsbFVRGJocnfkPzxZPMdlpL/LFgarz4CFf2nSYqcBfBP6yl4dwxtN/2AWmX49k3ck729p5t6pAcGk1Srh62Y6//QMO5Y7B7fQip0XEceO7TQreRyshkz6T53LvoJcTGwpnF64k9HkK9CQ8Ts+8MYUG7ObNoHS0/Gs39W94l9XIC20YZx67G8K44V/em7ti+1B1r3LO2YcBsLPa21H2+D7EnQugSZExtOPlNEGd+WFfouHLIyCTqjU+o/NUMsFiI/TmI1JPnKPfMYJIPniBh7TbKT3gSi5Mjvu8bxzQ9LIrQMdOw969ChRdHgFIgwqV5y0g9cfbm4siltF87D6/dQ52Axkxe/yGpSSksnnD1a7HGr5jNOz1exs3Hk67P9CXiZAjj/pwFwMZvA/lnydpii+OfNdtp1aklCzfNJzk5hbdfuPotDZ8HfsrIbqNxdHLg9XmvYV/GDhELe7fu5Y+Fxn2Ynfp0pPfjxofujX9tYuWSwGKLrVjc3rt9S4QUsedQKwYiMh5wU0pdN3MoaNi3JH2+863rF7rN/Gv1LukQ8pjl0KikQ8jDPeP2fZnpjYi2tbl+odvMK72UzUsC4iylr50auRc8/FdSZifdwFfl3EZupfDb1vanF8/NM8Xp7+Cg4ruluxCSAucW2/usY7enb2vshVX6zrw7jIj8AvgDnUo6Fk3TNE27490Bv+2rk78SppR6qKRj0DRN0zTNdAckfyV1w4emaZqmaZpWAnTPn6ZpmqZpWpY74IYPnfxpmqZpmqZl0cO+mqZpmqZp2n+J7vnTNE3TNE3Lood9NU3TNE3T7iB62FfTNE3TNE37L9E9f5qmaZqmaVn0sK9W2nz8Wo2SDiGP0vhTaqeO/1bSIeSxq+H4kg4hD+eyqSUdQr7OpLmXdAh5OEvpGyjp1DS4pEPIo/m2yyUdQh5b6niWdAj5OnaifEmHkMcoj9L3k4G3nR721TRN0zRN0/5LdM+fpmmapmlaljug508nf5qmaZqmaVmUKukIbjk97KtpmqZpmnYH0T1/mqZpmqZpWfSwr6ZpmqZp2h3kDkj+9LCvpmmapmnaHUT3/GmapmmapmXRX/KsaZqmaZp2B9HDvpqmaZqmadp/ie750zRN0zRNy3IHfM/fHZP8icgoIFEptUBEhgJBSqnQAspOBzYopVbfyjhyLa8GLFdK1S9qHZtPRfDWqv1kKsVDjaoyvO3decoEHg7m841HQaCWlxuz+7Rgx9ko3l59ILvM2eg4ZvdpQae7KxY1JABem/UyAV3ak5SUzLgxUzi4/0ieMkt+n4eXd3mSk1MA+N/DI4m+GEO/gb2Z/NoLhIdFAvDtV4tYvPDnYomrIFNmvseGzdvx9HDn1+8+u6V1WXPr2IRqrw9HLBYiF60mdO4vOda7tKpLtenDcapTlROj3yPmz6051ts4O9Jw3RwuBf7D2clfFXt8zvc2xffVEWCxcOnHIC5+tjTH+nJP9MGjf1fIyCA9JpaQFz8gLTSq2Opv/9pgqnZqTHpSCn+/8AVRB8/mKVOhQTU6vzcSGwd7zq3Zy8apC7PXNRzahQaPdyEzI5Nza/ayZeZiHNyd6f75s3g18uPoTxvY8MqCPPssiHdAQxq+PgSxsXD2+7Ucn/tHjvUWe1uafzQa94bVSb0Uz/aRc0i8cBGPJv40efsJo5AIR99ZRuhfOwGwc3Wi6Xv/h+vdVVBKsXvsF8TsOnHjjWWya9aSsiOeAYuF5KA/Sf7phxzry9zfC4cHH4LMDFRSEgkfvUPGhXMA2FTzo+zT4xEnJ1CKK8+PhLTi+U3oqbNeomPndiQnJTP+6Vc4tP9onjKLfvsKL58KJCclAzCk32iiL8Zkr+/e8z4+nf8eve4byIG9h4sUT5lWLXB97mmw2JC4/E8SvluUY71T75449e0DmZmopCSuvPUu6WfPIa6ueLwxDbvatUn6ayWx788pUhzWPAMaU+ONYYiNhbDv/+b8R7/mWO/Wug41Xh+Kc92qHB75AVHLt2Wva7hoMq7NanJl+1EO/G92scXk1K4Z3pNHgcXClaUrifnypxzrPYY+hFu/7uY14Arhk98nPTQS24peVProFbAIYmvLpe9+58qSFcUWV7G5A4Z975jkTyll/e49FDgI5En+RMRGKfXqbYqj2GVkKmYF7uOzgffg7erIY9+spUNNX/wruGaXORcTz7ytx5k/5F5cHe2JSTASrRbVKvDjk50AuJKUSs9Pg2jj51UscQV0bk81/6rc2/wBmjRvyIx3p9C7y2P5ln1u5Mvsz+ci/scvgbz60sxiiacw+vTowqCHezHp9XduW51YLFSf+X8cGfAaqWHR1F/xFpcCd5B0Iji7SGpIFKee/wjfUb3z3UXlFwcS98+hWxZfxddGc2bIFNLDo/H79X3iVv9DyskL2UWSD53iVO+xqOQUPB+7H5+Xh3Hh2beKpfqqAY1wr+7Dd+3H4d3Enw4zh7K017Q85TrOHMaaF78iYs8pei6YwF0dG3J+3X4qtalD9a7NWNRtEpmp6TiWM14X6Slp/PPOUjzvrky5uysXPiCL0GjWMDb1n0VSWDQBK98gLGg3ccdDsotUG9SR1MsJBLV5gcq921B/ykC2j/yI2KMXWNttCiojEwcvdzqtmUVY0G5URiYN3xhCxJp9/PPkh4idDbaOZW6+0SwWyo5+ntgp48i8GIXb+5+Ttm1zdnIHkLpuNSl//Q6AXau2OP3fGOJefREsNjiPn0L8uzPIOHMKcXGFjPSbj8VKx87tqOZ3FwEtetK4eQPeeGcKD3X9X75lnx85Md/ErqyzE8NGPMaenfuLHpDFgusLzxEzdgIZkVGU/+ozUjZtIf3s1XZKWvU3ib8ZyX2Ze9ri8sxTXBr3EqSmEvfVPOyqV8fWr3rRY7GKqebsJ9jX/3VSQmNoFjiLi4E7STx+9XqQEnKRo899TJXRvfJsfv6T37BxLEPFIV2KNSbvV8cQPHwSaREXqfrTh8Sv+YfUU+eziyQfOcXlfs+iklNwH/AAFcYPJ+yF2aRHxXB+wAuotDTEyYHqf3xG/NptZETGXKNC7Vb4T875E5EhIrJfRPaJyEJz2TQRGS8i/YDmwPcisldEHEXkrIi8KSK7gUdEZL5ZDhFpISJbzH1tFxGXXHU5i8jfIrJbRA6ISO/CxGH+v5m5bh8wpjie+8HQGKp4lKWyR1nsbCx0q1uZdSfCcpT5ee9ZHm3mh6ujPQCeZfO+saw6GsI9/t442hXP54OuPQJYtth4c9mzcz+uri54eZcvln3fKs0bN8DN1eX6BYuRc5MaJJ8NI+V8BCotnejfNuHRrWWOMinBUSQeOZfvp9OyDfywq+DOlfX7bkl8jo1qkXIujLQLRnxXlm/ApUvrHGUSth1AmT23iXuOYetTfMe5etdmHF22CYCIPaco41oWJy/3HGWcvNyxd3Yk4v/Zu+/4KIr+geOfuculJ6SSQg+9Ewi9BmkWBBsIiKI+Iip2QJqiIGBvYEHFxwqI5YcKCKEFpBM6Ii0EQpJLSCX9crmb3x93KZeEQBrJI/N+vfJKdnd293tzu5O5KXuHIwE49ctOgoaHANBh4hAOfvIH5jxLBSYnOR2A/BwD+gNnMBmMFYrHK7gFWVEJZEdfRhpNxKzZQ8DwbjZpAoaHEL36LwBi1+7Dt5+lcd+Uk4c0Wd5DjaMOrD1Ndm5O+PRq4gOFDQAAIABJREFUw4UV4QBIowljenaF4irOrlVbTHGxmOP1kJ+PYcdWdL362aSROUXHF45OhbHouoZguhCJKcqSlzIjvdpaRYbeGsqvP1oqUkcijuNezw3fCpYJL8x6is8++i8G6/VWFbq2bTDFxGGKs+RTzuatOPTra5NGZhfLJyfHwu5BmZuL8dgJZF71tIgWcO/agpyoeHIvXkYa87m8Zhc+I0Js0uReSiTrZDSYS3dVpv11AlNmTrXG5NipFcboOIwx8WDMJ2P9dlxvsS0DcvYdKywDco6eQldQBhjzkUbLPSbsdSBEtcZWbczm6vupo/51LX9CiPbAXKCPlDJJCOFVfLuU8mchxFRgmpQywroPQLKUsqt1eYT1tz3wIzBWSnlACOEOlLyTcoG7pJTpQggfYK8Q4negXXlxWP0XmCql3CGEeLs6Xv/ljFz83Z0Kl/3cnDgel2qT5mJKJgAPfbsds1kypX9b+jb3s0mz8WQME3u0qI6QAPAPqI8+Nr5wOT4uAf+A+lxOSCqV9p2lr2Mymfjzj8189M6ywvW3jRxCzz7diIq8wGtz3kIfm1Bt8dUV9v7e5MUlFy7n6ZNx7dry+nYWgibzJnHu6Q+p179TjcSn8/fGqC/qws3XJ+HUpfSwggKeY4aRuf1gtZ3f1d+TzGL5k6lPwdXfk+zLabZp9Cml0gB4BPkT2KM1vWbch8lgZNfrK7l89Hyl43EM8CSnWDw5+hS8ura4ahppMmPMyMbey428lAw8g5vT7YPHcW7oQ8TUT5AmMy6N62NIzqDbh49Tr10T0o5FcfTlbzFlV66Co/H2wZx0uXDZnJSIrnXbUukcbh+N011jwE5H+uznANA2aAQS3Oa/jaaeB4YdW8n9ZWWpfSvDL6C+zT2st5YJiWWUCW8tmY/ZZGLDH1tY8u7nALTv1IaABv5s2/QXk6c+VOV4tL4+mC4Xy6fERHTtSueT892jcRl7L8JOR/KzL1T5vOVx8PfCUOz6MsSl4H695UENsfPzsS0D4pNw7Hz1MqDevcPI3BFRtL+/Dw2XzUfXOIDEt5fXzVa/m+BRL//Glr/BwE9SyiQAKeX1Xlk/lrGuNaCXUh6wHitdSlmyz0MAi4QQx4DNQAPA71pxCCE8AA8p5Q7rqu+4QUxmM9EpmXw5oT9vjO7O/PWHSc8t+sSamJnLucvp9A7yK+coNeOZx2cyrN/d3Hv7Q/To3ZV7xo4EYPOGcPp0Gc7w/vfw17a9vPfxwhseW13nN2kEqVsPkadPvnbiG6DeqEE4dWxB0he/1HYohTR2Ghw9XPn5zlfZtXAlIz6ZWqvxpB6OZPPAGWwbMZdWz4xC46BD2Gnw6NiU819vZuvQ2eRnG2g9tXSXXnUzrFtD2n/Gk/3fZTiNfdCyUqvFrl1HMt95nSszpmLfuz92nbvWeCzFPTdlNrf2v5cxdzxM995duXvsHQghmLtgGgtffveGxgKQ/esaEsc+QPpnn+P60MQbfv7/Je4jQ3Fs34rU5UVlQH58EhdGPcn54Y/iPnoIWm+Pco6g1JR/Y+WvsrIqud8EwBfoJqXsAiQAjtUWFSCEmCyEiBBCRCwPP1Ju2vpujsSnFzVOJmTkUN/NNhw/NycGtgxAp9XQwMOFJl6uRKcUvfywkzGEtg5Ep63a5fHgo/fz5/af+HP7T1xOSCSggX/hNv9Av8LJG8UlWNdlZWaz5uf1dO7aEYC01Cvk5Vm6C1Z+9wsdu7SrUmx1VV58MvaB3oXL9gHe5Omv7/OLW7fW+D98K8H7PqPxKw/hc+8gGs0uewxVZRnjk9EF+BYu2wX4YEwoXdl06dsZ36fGcnHyAmRe1caIdXxoCGM3LGTshoVkXU7DtVj+uAZ4kRlv27KdGZ+Ka4BXmWky9alE/nkAgMtHziOlxNGr8l37ufpUnIrF4xTgRU6J96t4GqHVoHNzJi8lwyZNxtk48rNycW/TkJy4FHL0KaRau61j1+7Do1PTSsdoTk5C41M0dlfj44spuXTrWoG8HVuw723pFjYnJWI8cRSZfgUMBowRe7Fr3qrSsUx8dCzrwn9kXfiPJCYkEtCg6ANmwHWUCb/9YikTXF1daNW2Bat+/5K/Dq8nOKQTX/zwYZXKBVNiEtr6xfLJ1xdT4tXzKXfzVhz7973q9upgiE/Bodj15RDohSG+dj/c5Sck2ZYB/j7kl1EGOPfugteU+4l98tXCrt7iTJdTyDt7EaeQKs9xrHbSLKvtp676N1b+tmIZt+cNcJXu1gzgekr800CAEKK79VhuQoiSXeX1gMtSSqMQIhRocj1xSCnTgDQhRMHgm7JnP1jSfi6lDJFShjw6qEu5AbcP9CQ6NZPYtCyMJjMbT8YwsGWATZrQVoFERFua7VOzDVxMyaShh3Ph9g0nY7i1XQUGvV/Ft8tXcevA+7h14H1sXLeVe+63tF4Eh3QiIz2zVJevVqvF08vyKdDOzo4hwwdw5h/LDMfi4wOH3jqIc2cq31VXl2UeOYdjswAcGtVH6OzwHtWP1LAD17XvuakfcLj74xzuOYXo+d+Q9HM4lxZ9X63x5Rw7g0PTQHQN/RA6O+rdMYCMzfts0ji2C6LB61OJnrwAU/KVKp/z+Deb+XHEHH4cMYfzGw/S5h7LLeMX3Jy8jGybLl+A7Mtp5GXm4BfcHIA29/QjKszS9Xx+YwQN+lgqCB7N/NHo7MgtURGriNQjkbgG+ePc2Beh09JwdG/0Ybbd3PqwgzQe0x+ABnf0JHGXZTKOc2NfhPUDllNDH9xaBJJ9KQlD4hVyYpNxbW65b+v370B6sQkkFZV/5hTaBg3R+PmDnR0OAwZj3LfLJo0msEHh37ruvTHHWSYUGA/tx65pEDg4gEaLXcfOmC5dqHQs3y3/kdsHjeX2QWMJW7+Nu60t+11COpKRnlmqy7dkmXDLsAGc/uccGRmZdGs1iP7Bt9E/+DYORxzjsQnPVmm2r/HUKbSNGqANsOST05DBGHbtto2nYVE+OfTpRX5M5d+X65Fx+BxOQQE4NraUB/VH9yVpY8S1d6xBucfPoGsSiK6BH+jscLttIJlb99qkcWjbHL/XniH2ydcwpRSVAXZ+PggHy1hzjbsrTt3akRcVQ52jxvz975FS/i2EWAhsF0KYgMNYZvcW9zXwmRAiB+hdzrHyhBBjgSVCCCcs4/2GAJnFkv0A/CGEOA5EAKcqEMfDwFdCCAmEVeLllmKn0TBzWGeeWLULsxlGdW5CC193Ptl+knYBngxqFUCfoPrsiUrg7mWb0WgEzw/ugIezZdJHbFoW8ek5dGtSvZMxtm76i9ChA/jr4HpycnKZNnVu4bY/t//ErQPvw97Bnu9/Xoadzg6tVsPO7XtZ8a2lu+DhyRMYeusg8vNNpKVe4cWnXq7W+Moyfd4bHDh8jLS0dG4Z/QBPPjqRe0YOr9mTmsxcmPMlbVa8gtBquLxqCzlnLtFw+v1kHY0kNewALp1b0Gr5S9h5uOAxtDsNp43lWOhzNRtXsfjiXv2Mpt/MR2g0pP60CcPZaOo/N4Gc42fJ2LIf/1mPoHFxpNHSmQAY4xKJnrygWk5/cesRmgzuzMSd75Kfk8eWFz8v3DZ2w0J+HDEHgO1zvuaW9yZj52jPxW1HubjNMgHmnx+3c8s7kxm3eTGmPBObny8aU/rg7vexd3NCo7MjaHgIv014g9SzZT4NqpA0mTky+2v6rpyJ0Gq4uDKcjNOxtJ1xL2lHzqMPO8SFFeGELH2SYXveIy8ti/2PLwHAu0drWj99J2ZjPpglR2b+t7BF8Oicb+j+yVNodHZkXbzMweeWlRPFNZhNZH36Ae4L3gGNBsOm9ZiiL+D0wCPknz2Fcd9uHO+4G12XbmDKR2ZmkvneYsvry8wkZ81q6r2/DKTEGLEP44G91zjh9dm26S9Ch/YjPGItOTm5zHi66CEL68ItlUR7B3u++elTdDo7NFotu7bvZdW3NTSMwGQm/b2P8HrvLdBoyFn3J/lRF3B99GGMp05j2LUbl3vuwj6kG+TnY87I4MrCosen+P60Eo2LM9jpcOzfj5QXptvMFK4MaTJzdtZyOq2aY3nUy8ptZJ+OoemMsWQcjSR5YwRuXZrT4b/TsfNwwXtYN5pOH8OBgZaxiF1+m49ziwZoXRzpffgzTj3/KanhVZwMZjJzecGnNFz+Omi0XPkljLxz0Xg/PZHcE2fI2rYP3+mPonF2JPCD2QDk6xOJffI17Js3ov5LjyGlRAhByle/knfmQtXiUSpFyJvgYYb/JjnfzKxzb1jr59fVdgilRJ75rbZDKOVgp2m1HUIpro7VOzuxuoQb6944oEBj3fsUP7BbzbY8VUbI3rRrJ7rBdrctqwOo9p0+W/eeeBDgmXntRDdY61N/3tBpwdmfPl1t/2edn1hSJ6c0/+ta/hRFURRFUSqtDo/Vqy7/xjF/iqIoiqIoylWolj9FURRFUZQCdXiiRnVRlT9FURRFUZQCN0HlT3X7KoqiKIqi1BIhxAghxGkhxDkhxMyrpBkjhDgphPhbCLGiqudULX+KoiiKoigFbuBTUIQQWuBjYCgQAxwQQvwupTxZLE1LYBbQV0qZKoSoX/bRrp+q/CmKoiiKohS4sd2+PYBzUsrzAEKIVcAooPgTyx8DPpZSpgJIKUt/FU4FqW5fRVEURVGUGlD861mtP5NLJGkAXCq2HGNdV1wroJUQYpcQYq8QYkRV41Itf4qiKIqiKAWq8Tl/UsrPgc+vmbB8dkBLYBDQENghhOho/ZrYSh9QURRFURRFAZA3tNs3FmhUbLmhdV1xMcA+KaURiBJCnMFSGby+L34vg+r2VRRFURRFqR0HgJZCiGZCCHvgfuD3EmnWYGn1Qwjhg6Ub+HxVTqpa/v7HHHgpsrZDKGWxY+faDqGUuvg9ut2OvVPbIZSyocOc2g6hTAMcr9R2CKVodHXvK59kfm1HUNpUl461HUIpW6v0b7LmuIi69zw5fXrd+x7k1jf6hDfw692klPlCiKnARkALfCWl/FsIMR+IkFL+bt02TAhxEjAB06WUyVU5r6r8KYqiKIqiWMkb/JBnKeV6YH2Jda8U+1sCL1h/qoXq9lUURVEURbmJqJY/RVEURVGUAjew27e2qMqfoiiKoihKgRs727dWqMqfoiiKoihKgZug5U+N+VMURVEURbmJqJY/RVEURVGUAjd4tm9tUJU/RVEURVGUAqrbV1EURVEURfk3US1/iqIoiqIoBdRsX0VRFEVRlJvITdDt+z9b+RNCfAm8J6U8WWL9JCBESjm1ksfNlFK6VkOItcYztAvNFzyM0GqI/2ELl5ausdler1dbguZPwrVdE/6Z8gFJa/cWbuuwYg7u3VpyZf8p/p74RoXPHTCoEyELJiI0Gs6tDOfk0j9stmvs7ejz0RS8OjbDkJrBzilLyYpJAqD91JE0HzcIaTYTMfdb9NuPA9DrvcdoMKQLuUnprBs8q/BYHu0a0+ONh9G5OJIZk8iupz4lPzOnQvHWGxRM0wWPIDQaLq/cTNzS/7PZ7tazHU3nP4Jz2yacfeI9UtbtsdmudXWiU/hHpG7cx4U5X1bo3JUxd9F77Ni1Hy9PD9Z8/1mNnss3tDMdFjyI0GqI/mEb55bafte4xt6OLkuexKNTM/JSMzn4+IfkXErCqZEPoTveJTMyDoDUg+c4/tJyAIROS8dFD+Pdpx2YzZx6YzX6dfsrFZ/rwK40eOUx0GpI+XETiZ/+bLPdpUd7Al95DMc2TYl++i2u/Lm7cJv/zIdwD+0OQMKSVVxZu7NSMVwzxgFdCXhlMmg0pK4OI+kz2xi9Hx2N55hhYDKRn5JO7IwPMMYlVnscupAeuEx5GqHVkPvnOnJWr7DZ7nj7nTiOvAvMJmRODpkfvoMp+iIA2mZBuD4zDeHiDGZJ2tOPgzGv0rGEvjaRZqFdyM8xsOHFz7l84kKpNPU7NmXEu49j52hP1LYjbJv3HQC+7RozZNEj2DnoMJtMbJnzNfFHLV/c27BXW0LnPYBGpyUnJYPVYxZeNYaaKKdG7Xuf/MxczGYzMt/Ehlst387V8cW7aTF+ELkpGQAcXbyauK1Hy82j+qGd6Gi99y7+sI2zZcTXdckThfdexOMfkX0pqXC7UwNvbtnxNqfe+YVzn67DKdCLrkuewMG3Hki48N1Wzn+5odwYysqzrtY8i1wZzj9lxNTroyfw6tgUQ2omu6csISsmCXtPV/p9/ixeXYKIWr2Dg3O+KXXs/l+/gGvj+vw5eGaFYlIqr05U/oQQAhBSXn9bq5TyPzUYUq0SQmillKZK7azR0GLxoxwfswCDPoXgDYtJDosg+0xMYZLc2CTOPPsxDZ+8s9TuMZ/8hsbJgYAHh1Y8bo2g+6KH2Hr/G2TrUxixfj4xGw+SfjauME3zcYPIS8vi974v0mRUL4Ln3s/OKUtxbxlIk1G9WBv6Ek5+ntzy40z+6DcNaZac/3EHp/+7iT4fPm5zvl7v/IdD81dwee8pgu4fQLsnbufY2z+XDKvcvGq26DH+uf818vTJdFj/FqkbD5Bztiiv8mITiXxuCQFTRpV5iIYzxpGx7++KZVQVjL5tKOPvuZPZC96p2RNpBB0XP8zeMYvI0SfTf8NC4sMOknkmtjBJo/GhGNOy2Nr7eQJH9abt3PEcevwjALIuJrBjyKxSh2353F0YktLZ1vcFEAJ7z0p+ztJoaDB/ClEPvIwxPpkWv79H+qZ9GM5dKkySF5fIpWkf4PvYXTa7uoWG4NS+OWduewZhr6P5qsVkhB/EXMEPDtcTY+BrTxD14Fzy45MJWvM+GZttY8z9O5LIUc8jcw14TbgV/5kPc+mZt6o9DtennuPKrBcxJyXisWQZeXt3FVbuAAzbNpO7zlK5t+/VB5fHnyJ9zgzQaHGbMZeMtxdiOh+JcHMHU36lQ2kW2hnPpv58NeBFAoKbM2ThJFaMerVUuiELH2bTS1+iPxzJ3d9Mp+mgTlwIP8aA2ePY88GvXAg/RrPQzgyYPY7VYxfi4O7MkIWT+GXiW2TEJePk7X7VGGqqnALYfN9CDCmZpc556osN/PPZ+lLry6QRdF78MLvGLCZHn8ygDa8TH3aIjGL3XpPxgzCmZbG59ws0GNWbdnPHEfH4ksLtHV57gIRiFUxzvpkTr/7AleMXsHNxZFDYQhJ3HLc5ZnmERtBt0SS23b+YHH0Kw9YvIHbjIdLPFu0fZM2ztX1fpPGoXnSeO47dU5ZgyjVy7O2f8GjdiHptGpY6dsNbQ8jPMlxf3twgN/q7fWtDrU34EEI0FUKcFkJ8C5wAGgkhpgshDgghjgkhXrOmcxFCrBNCHBVCnBBCjLWuDxdChFj/flgIcUYIsR/oW+wcXwsh7i22nGn97SqE2CKEOCSEOC6EKPs/e9F+V4vhghDCx/p3iBAi3Pq3rxBikxDibyHEl0KIi8XSrRFCHLRum1w8NiHEu0KIo0DvyuarW3ALcqLiyY2+jDTmk7hmF97DQ2zSGC4lkvVPdGGBVVzazhOYsir3T9A7uDkZFxLIjE7EbDRx8be9NBrezSZNw+FdOf/TXwBEr92PX7/2ADQa3o2Lv+3FnJdP1qVEMi4k4B3cHIDL+06Tl1q6QHUL8ufy3lMAxO84QePbu1coXtfgFuRe0GOITkAa80n+bSeew3vYpDHEJJL9z8Uyp/67dAxC5+vBle3lf4qvTiFdOlLP3a3Gz+MZ3IKsqHiyoy8jjSbi1uzBv8R15D+8GzGrdwCgX7sP334drnncxvcP4tyS3ywLUpJnbQ2pKOcuLcm7qCfvkuW9S/tjB+7DetqkMcZcJvfUBSzfiV7EsWUjsvb/DSYzMsdA7qko3AbaXqfVwalzKwwX9RitMV5ZuwO3ob1s0mTtPY7Mtfzjyz58Gjt/n2qPw651W0xxsZjj9ZCfjyF8K/a9+9mkkdnZRQuOTmDNMl23EPKjIjGdj7Sky0iv0mMwmg/rxslfLK2s+sOROLi74FLfwyaNS30PHFyd0B+2nPPkLztpUXDtSYmDmxMADm7OZCakAtBmVB/O/nmAjLhkAHKS068aQ02VU9XFM7gFmVEJhfdezJo9+JeIz394CNGrLfHFlbj3AkaEkB2dSMbpog+xhstpXDl+AYD8rFwyzsbi6O953TF5BTcn80ICWdY8i/5tLw1L5Vk3on6ylAeX1u7H35pnphwDSfvPYDIYSx3XztmBNo/fxt8frCm1rVaZZfX91FG1Pdu3JfCJlLI90Nq63APoAnQTQgwARgBxUsrOUsoOgE1btRAiAHgNS6WvH9DuOs6bC9wlpewKhALvWlsfr6bcGMowD9hqfV0/A42LbXtEStkNCAGeEUJ4W9e7APus56h0H5RDgBcGawEIYNCnYB/gXc4e1cfJ35PsuJTC5Wx9Ck4BtgWMs78nWdY00mTGmJ6Ng5crTgFF6wv3vUbhdOVMDA1HWAqgxnf0xDnQq0Lx2vt7k1csr/L0ydgHXOcxhKDJvElEzy/dhfFv4BjgSU6xvMnVJ+NY4r10DPAqTCNNZowZ2dh7WSqmzo19GbBpMX3+7xW8erYGwM7dGYDWM+5jQNgiun3xLPY+9SoVn87PG2NcUTeXUZ+Mzu/6rvOcfy7gNrArwtEBrac7Lr07oQuo/kqXzt8bo76oCzdfn1RujJ5jhpG5/WC1x6Hx9sGceLlw2ZyUiMan9Ot1HDkaz/+uwOU/U8j85EMAtA0bgQT3hW/jsfQLnO4bV6VYXP09ydAXXVcZ8Sm4lrjPXf09yYhPKTPNtte+Z8DscUze+yED5o7jrzd/BMAzyB/Hei6M+XEOD6xbQLt7bCu3xdVYOSUlg1fOZMSGBbSYEGpzvFYPD+W2zYvo9d5j2NdzLjePnErdeyk4lSiXiqeRJjP51ntP6+xAy6kjOfXOL1c9vnMjH+p1aErqochy47DZx9+L7GIxlZVnxfNVmszkpWdj71V+y37HGfdx6rP1mHLqVsvfzaC2K38XpZQFA86GWX8OA4eANlgqg8eBoUKIN4UQ/aWUV0ocoycQLqVMlFLmAT9ex3kFsEgIcQzYDDQA/MpJf60YSuoHrAKQUm4AUotte8baurcXaGR9jQAmoMw7VggxWQgRIYSI+D37/DVOffPY+8IXtHpoCCM2LEDn6og5r/LdURXlN2kEqVsPkVfsH5liYUhIY3O3p9kxdBZ/z/uOrp88jZ2rExo7LU4NvEmNOMOOYbNJjThL+3kTbnh8mX8dJmPbQVr8+haNP5pG9qFTtf5Q13qjBuHUsQVJX1z9n3ZNy/1jDakPjyd7+TKcxz8IgNBq0XXoSMabr5P24lTs+/RH16VrrcXYeeIthM//gc97PUv4/B8Y/vZjAGi0Gup3bMavk97hlwfepNczo/Fs5n9DYwsbvYA/h89l24S3aTVpCPWtH3rOfrOZ33u/wPqhc8hJSKNrDV7zbabfw7nP12PKLrsypXV2oMeXz3P8le8qPD66unm0b4Jr0/rEbIio1TjKdBO0/NX2mL+sYn8LYLGUclnJREKIrsBtwOtCiC1SyvnXefx8rBVcIYQGsLeunwD4At2klEYhxAXA8WoHkVKeuUoMhccvb/9ir2MQMAToLaXMtnYTF+yXe7VxflLKz4HPAXb431fu1WTQp+AQWNS64BDgdcMqKDnxqTatb84BXuToU23SZMen4hLoRY4+BaHVoHN3xpCSSY7est5m33jbfUtKP6dn67g3AUsXcOAtXSoUb158MvbF8so+wJs8fUo5exRx69Yat55t8X9oBBoXR4TODlNWLpcWfV+hGOqqXH0qTsXyxjHAm9wS72WuPgWnQG9yC95LN+fCblxznqWb/sqxKLIuJuDSPIArR8+Tn52Lft0BAOL+2Evj8bYtJNfLmJCMLrCo9UoX4I0x4fqv88sfr+byx6sBaPThNAznr2/sU4VijE9GF+BbuGwX4FNmjC59O+P71Fiixs1E1sAHGHNyEhrf+oXLGh9fzElJV01vCN+Cy9PPA2BKTMR4/Cgy3fJ5N+/AXuxatMJ45NB1n7/Lg0PoOM7yPscfO49bsZ4IN38vMkvc55nxqbj5e5WZpv09/Qsnf5xZu49hb/6ncJ/ctGPk5xjIzzEQs+8Uvu0akxoVXyqemiqnCn4bktO5tOEg3sHNubzvNLlJRV3Q537YxqBvXyw3v3JK3XuWOMpKU3Dv2VnvPc/gFjS4oycdXh6Pzt0ZaZaYDEaivgpD2Gnpsfx5Lv26C/36A+XGUFJ2fArOxWIqK88K8rUgz+zdnckrY/xjAZ9uLfDqFMTIfR+g0Wpx8HFn8M9z2Hrv1Sfq3DA3waNearvlr7iNwCNCCFcAIUQDIUR9IUQgkC2l/B54Gyj5sXMfMFAI4S2E0AH3Fdt2ASgYmHAnoLP+XQ+4bK34hQJNygusnBiKH/+eYrvsAsZY9x0GFLSP1wNSrRW/NoDtAKBqkHHkHE5BATg2ro/Q2eE7ui/JYTfmk1XykfO4NfPHpZEvGp2WJqN6ERNm+08iNuwQQff1B6DxHT1I2GmZrB0Tdogmo3qhsbfDpZEvbs38ST5cfreEQ8GgbiHo8Owozn63pULxZh45h2OzABwaWfLKe1Q/UsOur1A8N/UDDnd/nMM9pxA9/xuSfg7/11T8ANKOROIS5I9TY1+ETkvg6N7Eh9l2SSaEHaThmAEABNzRk6Rdlokv9t5uoLGMonBuXB+XZv5kX0yw7nPIMtMX8OnfgYxiE5EqIvvoWeybBqJr6IfQ2eExcgDpm65z1rBGg9bD0j3t2KYpTm2akvHX4UrFUZ6cY2dwKBZjvTsGkLF5n00ax3ZBNHh9KtGTF2BKvlaHQuXknz6FtkFDNH7+YGeHw6DB5O3dZZNGE9ig8G/7Hr0xxVreF+PB/dg1DQIHB9Bo0XXqTH70hQqd/8i3m/nu1jl8d+sczm08WNglGxDcHENGNlmX02zSZ11Ow5CZQ4B1LF27e/oRab3hlETyAAAgAElEQVT2MhNSadirLQCN+7Yn7YKlcncu7CCB3VtbKkKO9gQENye52ASO4mqinNI6OWDnYvkcr3VyIGBgB9JOWfLQsdiYxka3hpB2uvxrPu1IJK5B/jhb772GZdx78WEHaTzGEl9gsXtv5+j5hHV/lrDuzxL5xQbOfPQbUV+FARD8/mQyz8YSuew6J54Uk1IizxqP6kVMiZhiww7R7D5LedDojh4k7Cx/Ity5b7fwW9ep/NHzOTaPfo2M8/q6UfG7SdR2y18hKWWYEKItsMc6/C4TeABoAbwthDADRuCJEvvphRCvAnuANOBIsc1fAL9Zu1k3UNTS+APwhxDiOBABnLpGeB2vEsNrwHIhxAIgvFj614CVQoiJ1rjigQxrDFOEEP8Ap7F0/VYvk5lzs5fTYeUcy6NeVm4j+3QMTWaMJeNIJClhEbh2aU77r6Zj5+GC99BuNJk+hoMDXwCg85r5OLVsgNbZkZ6HPuPMC5+SGn59ExqkyUzEnG8YvGIGQqshctV2rpyJpdP0e0g+GkVs2CHOrdxOn4+mcOeudzGkZbLriaUAXDkTy8U/9nFH+JuW48z+unBCSt9PnsKvd1scvFy5K+Ijjr37C5Ert9N0dG9aTRoCwKU/Izi/akeF8+rCnC9ps+IVhFbD5VVbyDlziYbT7yfraCSpYQdw6dyCVstfws7DBY+h3Wk4bSzHQp+r2Hmq0fR5b3Dg8DHS0tK5ZfQDPPnoRO4ZObzazyNNZk7M/ppeK2chtBourQwn83QMrWfcS9qRKBLCDhK9IpzgpU8yeM/75KVlcsg629C7V1taz7gPszEfzJLjM5ZjTLPcev+8vpLgJU+iW/AghuR0jj5XycfVmMzEvfIZQd++BloNqas3Yzgbjd/zE8g5fpb0zftx6tSSJstmY1fPFfdbuuP3/ATODHsKodPS/CfLY4xMmdlEP/8umGrgk77JTNyrn9H0m/kIjYbUnzZhOBtN/ecsMWZs2Y//rEfQuDjSaKnlERfGuESiJy+o3jjMJjI//oB6i94BjYbcsPWYLl7A+cFHyD9ziry9u3G68250XbtBfj7mzEwy31kMgMzMJOfX1XgsWWaZoLN/H8b9lS+2orYeISi0M4/+9S7GnDw2Tvu8cNvEPxfy3a1zANgy92tGvDvZ+qiXo0Rts5RBm2YuJ/TViQitBpPBSNhMyyOEUs7FcSH8GA+FLUaazRxfFU7yVT5Y1EQ55eTrzoDllnJB2Gm58H+70YcfA6Dr3PvxbN8EKSVZMUnsm/FVuXkkTWaOzf6aPitnWh71sjKcjNOxtJlxL2lHzhMfdoiLK8LptvRJhux5D2NaFgeKzfQti1eP1jS+rz9XTkYTunkRACcXryZhy5Fy97PNs68ZtOIlhFbD+VXbST8TS8fp95BizbPIleH0/ugJ7tj1LnlpWex6oiimkfs+QOfqhMbejobDQ9g27g2bmcJ1Th3urq0uouRMOKXqhBAOgElKmS+E6A18KqWsWJ/kVVyr27c2XNI41HYIpTQn+9qJbrBux2r48SyVsKHDnNoOoUxNHK/eXVRbNJo6d+vh37Jys6Vr0jf/NKrtEErxv3HDgSvEpQ4+UiRHU97cx9oxLu6HGxpUxnMjq+1md/vgj7qXodShlr9/mcbAaus4wzzgsVqOR1EURVEUBVCVvxohpTwLBNd2HIqiKIqiVNBN0O2rKn+KoiiKoigF6mB3fHWrS7N9FUVRFEVRlBqmWv4URVEURVEKqG5fRVEURVGUm8hNUPlT3b6KoiiKoig3EdXypyiKoiiKYnUzPP9YVf4URVEURVEKqG5fRVEURVEU5d9EtfwpiqIoiqIUuAla/lTl73+MUda9xloPk6m2QyjF1SWvtkMopS5+j+6IEwtrO4Qyre70Sm2HUIprXXzw69naDqC0E5qc2g6hlEndkmo7hDLNO+5f2yGU4idVtUDeBJW/uleTUBRFURRFUWqMquIriqIoiqIUuAla/lTlT1EURVEUpUAdHOFR3VS3r6IoiqIoyk1EtfwpiqIoiqJYqQkfiqIoiqIoNxOzrL6f6yCEGCGEOC2EOCeEmFlOunuEEFIIEVLVl6gqf4qiKIqiKLVACKEFPgZuBdoB44QQ7cpI5wY8C+yrjvOqyp+iKIqiKEoBczX+XFsP4JyU8ryUMg9YBYwqI90C4E0gt5Kvyoaq/CmKoiiKolhJs6y2HyHEZCFERLGfySVO1wC4VGw5xrqukBCiK9BISrmuul6jmvChKIqiKIpSA6SUnwOfV3Z/IYQGeA+YVF0xgar8KYqiKIqiFLmxz/mLBRoVW25oXVfADegAhAshAPyB34UQd0opIyp70puy8ieE+BpYK6X8ucT6ptb1HSpwrEDgIynlvWVsCwemVeUNul5eoZ1p9fokhFZD3A9bubjkN9tY7O1ov/Qp3DoFYUzN4MTkD8m9lIjQaWnz9mTcuwQhzZIzc78mbfdJm307fTsdpyZ+7Bs4rUIx+YZ2pt3rDyK0Gi79sI3IJb/bbNfY29F56ZPU69SMvNRMDk/+kJxLlu/gdGvXmI5vP4qdqzNSmtk1fC5mg5HWs8bQ4L4B6Dxc2Bj0cCVy6upcB3Ql4JXJoNGQujqMpM9sLg+8Hx2N55hhYDKRn5JO7IwPMMYlVsu5fUM702GBJa+if9jGuaWl86rLkifxsObVwccteeXUyIfQHe+SGRkHQOrBcxx/aTkAQqel46KH8e7TDsxmTr2xGv26/dUSb3FzF73Hjl378fL0YM33n1X78QMGdSJkwUSERsO5leGcXPqHzXaNvR19PpqCV8dmGFIz2DllKVkxluuo/dSRNB83CGk2EzH3W/TbjwMwat/75GfmYjabkfkmNtxa9F3CrR4ZSqtJQ5EmM3FbjnD49VXlxlc/tBMdFzwI1vfubBnxdV3yBPU6NcOYmsmBxz8qvM4BnBp4M3jH25x65xciP12Ha/MAQpY9XbjduUl9Tr31M+e/2FC5DCyhNq/zksbPe4ROoV3Jy8lj+bQlXPw7yma7vaM9T34yjfpN/DGbzBzZEsHPb34PwP0vT6Jt7w7WdA64+9TjqU4PVikeXdceuDz2NGg05G5aR+7PK2y2O4y4E8fb7wKzCZmbQ9bSdzBduoj9wCE43X1/YTpt0+Zcee4xTFHnqhRPgXvnTaJ9aDB5OQa+m/YpMSXySedoz6OfPI9PEz+kyczxLQf5/c2VAAx+9HZ63z8Yc76JzJR0vp/xGamxVf+u4+GvPkiL0M4Yc/L4fdoy4k9cKJUmdPp9dLy7P071XHiz3aOF67tOuIXuDw7FbDKTl53LulnLSTobW2r/2nKDH/VyAGgphGiGpdJ3PzC+MBYprwA+BcvVVa+4KSt/1UUIYSeljANKVfxuKI2g9RuPcHjMQgxxyXTfuJikjRFknSm6mQLHD8aYlsWeXs/iN7oPLV4ez4nJH9LggVsA2DdoOjofd7qsmMWB4bNBWi5+39t6YMqqxPhSjaD9Gw+zb8wicuOS6bdxIQkbD5JZLKZG40MxpmUR3ut5Akb3ps3L4zk8+SOEVkOXj5/iyFMfk3EyGp2nK2ZjPgAJYYe4sDyMQXvfr0KGlRWvhsDXniDqwbnkxycTtOZ9Mjbvw3CuaChG7t+RRI56HplrwGvCrfjPfJhLz7xVDecWdFz8MHvHLCJHn0z/DQuJDys7r7b2fp7AUb1pO3c8hx7/CICsiwnsGDKr1GFbPncXhqR0tvV9AYTA3tO16rGWYfRtQxl/z53MXvBOtR9baATdFz3E1vvfIFufwoj184nZeJD0s3GFaZqPG0ReWha/932RJqN6ETz3fnZOWYp7y0CajOrF2tCXcPLz5JYfZ/JHv2mFBfvm+xZiSMm0OZ9fn7Y0HN6N9UNmY87Lx8HbvfwANYJOix9m95jF5OiTGbjhdeLDDpFR7L1rPN4S35beL9BgVG/azx1HxONLCrd3eO0BErYeLVzOjNQTPmR24fGHH/kY/Z/V9PmxNq/zEjoN6opfswBmDppKUHBLJi6czOujS1/HG774nVN7TqDV2THjh3l0HBTM8fDDrFrwdWGaWx66lSbtm1UtII0GlynPkf7yi5iTE6n33jKM+3ZhunSxMEne9s0YNlg+mOl69MH50afIeHUGeds3k7d9MwDaJkG4zXm92ip+7QZ1wbeZP68NepamwS25f+GjvDN6bql0W75Yy9k9f6PVaXn6h5dpN6gLJ8OPcOnkBf4aOQtjbh79HhjK6FkT+O/UD6sUU4vQzng18+fjgS/SILgFt73+MF+Nnlcq3ZnNhznwzSaeCn/XZv2J33Zz6IctALQa0pWhcyew8qHqv8b+F0gp84UQU4GNgBb4Skr5txBiPhAhpfy9/CNUzk0x4UMI8aAQ4pgQ4qgQ4jvr6gFCiN1CiPNCiLJa7RyFEP8VQhwXQhwWQoRa108SQvwuhNgKbBFCNBVCnLBucxJCrBJC/COE+D/Aqdjxhgkh9gghDgkhfhJCuFrXvyGEOGmNr1L/Pd27tiAnKoHci5eRRhMJa3bjM6K7TRrfESHoV28H4PIfe/HsZ/nE7NKqIak7TwBgTEonPz0L9y5BAGidHWg85XYuvP9rhWPy6NqC7Kh4cqwxxa3Zg98I20cT+Y3oRszqHQDE/7EPH2tMPoM6kXEymoyT0Za4UjMLn5eUdvAchstpFY7nWpw6t8JwUY/xUgLSmM+VtTtwG9rLJk3W3uPIXAMA2YdPY+fvU9ahKswzuAVZUfFkRxfllf9w27zyH16UV/q1+/Dtd+3G6cb3D+JcQQuwlOSlZFRLvCWFdOlIPXe3Gjm2d3BzMi4kkBmdiNlo4uJve2k0vJtNmobDu3L+p78AiF67H79+7QFoNLwbF3/bizkvn6xLiWRcSMA7uHm552v54BBOLv0Dc57lw4YhOb3c9Jb3LqHwvYtdswf/EvEFDA/h0mpLfHFri65zAP8RIWRFJ5JxOqbM4/v270DWhQRyYqreUgO1e52XFDysO7t/tZRJ5w+fxdnNhXq+HjZp8nLzOLXHUj6ZjPlc/DsKT3/vUsfqdWc/9v6+s0rx2LVsi0kfizlBD/n5GHZsRdezn00amZNd+LdwdCp5CADsB9yC4a+tVYqluE7DurP/V8u9f+HwWZzcXHAvkU/G3DzO7vkbAJPRxKW/o/Dw9wLg7J6/MebmFe7vUUb+VVSrod049ovlmo49fA5Hd2dc63uUShd7+ByZZZTXeZk5hX/rnB2qHE+1u7GzfZFSrpdStpJSNpdSLrSue6Wsip+UclB19Cb+6yt/Qoj2wFxgsJSyM5bn5AAEAP2AO4A3ytj1KUBKKTsC44BvhBCO1m1dgXullANL7PMEkC2lbAvMA7pZY/CxxjBEStkViABeEEJ4A3cB7aWUnYDXK/MaHf29yI1LLlw2xCXj4O9pk8YhwAtDrCWNNJnJz8hG5+VGxsmL+AwPQWg1ODb2xa1TEA6BlsIhaOZYoj9diyknrxIxeZJTLKbcuGQcS8TkGOBFbrGYjNaYXJoHIKWkx6qZ9Nu0iKCnRlb4/BWl8/fGqC/q2srXJ6Hzu3oh6TlmGJnbD1bLuR0DSuSVPhnHgNJ5VZCmIK/svSwVLufGvgzYtJg+//cKXj1bA2Dn7gxA6xn3MSBsEd2+eBZ7n3rVEu+N5OTvSXZcSuFytj4FpxJ54+zvSZY1jTSZMaZn4+DlilNA0frCfQuuQSkZvHImIzYsoMWE0MI0bs398e3ZmuFrX2XIL3Pw6hxUbnwl37scfQqOAV5XTVNw79l7uaF1dqDl1JGcfueXqx6/wejexK7ZU24MFVGb13lJHn5epMQVVWpT45PLrNgVcHJ3pvMtIfyz67jNeu8Gvvg08uOf3SeqFI/G2wdz0uXCZXNyIlrv0hVfh9tG4/H5CpwnTSFrWekWNIf+oeRt31KlWIrz8PMktdg1lhafXFixK4uTuzMdb+nG6V2l86P3mFBOhh+pckxu/l6kF4spPT4FNz/PcvYoLeTBoTy14z1umTWOjfO+qXJM1Umaq++nrvrXV/6AwcBPUsokACllwX+DNVJKs5TyJOBXxn79gO+t+5wCLgKtrNs2FTtOcQOK7XMMOGZd3wvLwxt3CSGOAA8BTYArWJ7Zs1wIcTeQXeqIYDNVfG1O5PW/8uugX7ENgz6Z7mGLabXgIa4cOIM0m3Ft3wSnpn4k/nmgWs93PTRaDV49W3P4yY/Zfeer+N8Wgnf/9jc8jqupN2oQTh1bkPTF1f9p3yiGhDQ2d3uaHUNn8fe87+j6ydPYuTqhsdPi1MCb1Igz7Bg2m9SIs7SfN6G2w60zwkYv4M/hc9k24W1aTRpCfWulWaPV4ODhysY7XuXwgpX0Xza1xmJoM/0eIj9fjynbUOZ2odPiP6wbcb/vrbEYylOXrnONVsOUj55n89frSLyUYLOt58i+RKzfgzTfmP+0hvVrSJs8nuxvluE01naMoV2rtkiDAVN01FX2rlkarYZJHz1D+NcbSL502WZb99H9aNypOVs+r5FexAqL+HYTHw94ga1vrKLf06NrO5ybzs085q94iSsquG9WBdMLLBXGcaU2CNEDuAXLuMGpWCqrNopPFd/iN7bUSNTc+BQcA4s+MTsEemOIT7VJY9Cn4NDAG4M+BaHVYOfmjNHaDXj2lW8L03VbO5+cSD0evdvh3jmIPgeWIOy02PvUo+uvr3Do7vnX9YJz41NxKhaTY6A3uSViytWn4NjAm1xrTDprTDn6FFL2nCqM7/LmI9Tr2Izkv/6+rnNXhjE+GV2Ab+GyXYAPxoTkUulc+nbG96mxRI2bibR2DVZVrr5EXgV4k6svnVdOgbZ5VdCNa86zjFu7ciyKrIsJuDQP4MrR8+Rn56JfZ6m8x/2xl8bjQ/lfkxOfinNgUSuHc4AXOSXyJjs+FZdAL3IK8sbdGUNKJjl6y3qbfa3XYMFvQ3I6lzYcxDu4OZf3nSZbn8ql9ZY8Sz5yHmmWOHi5YbhKl3nJ984pwItcfUqZaXKL3Xt5KRl4Brcg8I6etH95PDp3Z6RZYjYYifoqDAC/wV24cjwKQ1L5Xc8VUZvXOcDgiSMYOG4IAFFHz+EVWNSy5unvTWp86VgAJi2eQkKUnk1flX7MWY+Rffn+5S+rHJs5OQmNT/3CZY23L6bkq3e35+3YgssTz9v8M7AfMJi8HVVv9RswcRh9xlnGY188GolnsWvMw9+btPiy2h5g3OLJJEbFE/7Vepv1rft2ZPjUu/lg7KvkV/L9DHlwKMH3W8qQuGPncS8Wk7u/FxkJqVfbtVwnft/Dra8/DCyr1P41og632FWXm6Hlbytwn7WLFSHE1dvLbf0FTLDu0wpoDJy+xj47sM7SEUJ0ADpZ1+8F+gohWli3uQghWlnH/dWTUq4Hngc6X/erKibjcCTOQf44NvZF6LT4je5D0kbbIQFJGyMIGGPppa4/shepOy0VKY2TPRrrmAuvAR2R+WayzsQS+80mdnZ+gt3dn+bgnfPIPq+/7oofwJXDkbgE+eNkjSlwdG8SNtp2HyVsPEjDMQMA8B/ZkyRrTInbjuHWthEaJ3uEVoN3n7Y2kx9qQs6xMzg0DUTX0A+hs6PeHQPI2Gz7LTqO7YJo8PpUoicvwJR8pdrOnXakdF7Fh5XIq7CivAq4oydJuyx5Ze/tBhrLZxfnxvVxaeZP9sUE6z6HLDN9AZ/+Hcg4U/a4sros+ch53Jr549LIF41OS5NRvYgJO2STJjbsEEH39Qeg8R09SNhpma0eE3aIJqN6obG3w6WRL27N/Ek+HInWyQE7F8sIDq2TAwEDO5B2ypI3MRsi8OtryTO3IH809nZXrfhB0XvnbH3vGpTx3sWHHaTRGEt8gcXeu52j57Op+7Ns6v4skV9s4MxHvxVW/AAa3NWnWrt8oXavc4Ct321g3m3TmHfbNA6F7afP3ZYyKSi4JTkZ2VxJLD0+7O4Xx+Hk5sLK+f8ttc2/eQNc6rly7tC1iuZryz97Cm1gQzR+/mBnh8OAwRj377JJowkoevauLqQ35rhi95QQOPQLxVANlb8d34Xxxm0v8cZtL3Es7AA97rbc+02t+ZReRj7d8eJYnNyc+WW+bRdqw/ZNuX/Rf1j2n7fIvMYY1vJEfLuJL26bzRe3zeZ0WASd7rFc0w2CW5CbkVPm2L6r8Wpa1NnWcnAXUi7EVzqumnAzdPv+61v+rLNmFgLbhRAm4PB17voJ8KkQ4jiQD0ySUhqsz9m5mk+B/woh/gH+AQ5aY0gUQkwCVgohCka3zgUygN+sYwkF8ELFXp2FNJk5PesrglfNBq0G/cpwsk7HEDTjPtKPnidp40HiVmyj3dKp9N77Ica0TE48bhmrYu9Tjy6rZoNZYohP4eTUpZUJocyYTsz6mh6rZiG0GmJWhpN5OoZWM+4l7WgUlzce5NKKcLosfZJBe9/HmJbJIesMyPwrWUR9tp5+GxYCksubj3B5s+Vta/PyeALv7oPWyZ7Bh5dy6YdtnC1nzNR1M5mJe/Uzmn4zH6HRkPrTJgxno6n/3ARyjp8lY8t+/Gc9gsbFkUZLLd+7bYxLJHrygiqfWprMnJj9Nb1WWvLqkjWvWs+4l7QjUSSEHSR6RTjBS59k8J73ySuWV9692tJ6xn2W2dBmyfEZyzGmWdoi/nl9JcFLnkS34EEMyekcfa76H8MCMH3eGxw4fIy0tHRuGf0ATz46kXtGDq+WY0uTmYg53zB4xQyEVkPkqu1cORNLp+n3kHw0itiwQ5xbuZ0+H03hzl3vYkjLZNcTlmv4yplYLv6xjzvC37QcZ/bXSLPEydedAcufA0DYabnwf7vRh1tGaESu2k6v9yZz+9bFmI0m9jxbfmuENJk5Nvtreq+caXlMz8pwMk7H0mbGvaQdOU982CEurgin69InuWXPexjTsmxm+l6N1tmB+gM6cHR61Vu0bNTidV7SsW2H6BTalTe3f0xejoHl0z8u3Pba+neYd9s0PP29GPn0vcSdi+HVdW8DsOWbP9nxo6WC1XNkX/b9savM41eY2UTWZx/g/to7oNFg2LweU/QFnCY8Qv7ZUxj378bxjrvRdekG+fnIzEwyP1hcuLtd+86YEi9bJoxUo7+3HaZ9aDDztn+IMSeP76d/Wrht5vo3eeO2l/Dw92LE03cTfy6Wl9ZZhrBv/2Yje37cyuhZD+Dg7MijnzwPQGpsEssee7tKMZ3beoQWoV14asd75Fsf9VLgsfWL+OI2y2z1W2aNo8OoPuic7Hl27xIOr9rGjg9+JeShYQT164DJaCI3PYvfX6iZskm5OiHlDX2ejVJFZXX71rbcOtiA3MSlZma2VkVUds3MiK2KEScW1nYIZVrd6ZVrJ7rBXG/QmLKKaO5cfV3C1eVdc92bvflOx+qZLV3d5h33r+0QSvGTda9N6OWLP1R0aFaVJA0fWG3/Z302br+hsV+vuvcuK4qiKIqi1JK63F1bXepek42iKIqiKIpSY1TLn6IoiqIoitXN0PKnKn+KoiiKoihWN0PlT3X7KoqiKIqi3ERUy5+iKIqiKEoBWScn6FYrVflTFEVRFEWxuhm6fVXlT1EURVEUxUqa//0tf2rMn6IoiqIoyk1EtfwpiqIoiqJYqW5fpc7Z5qSt7RBKaWWsew3IUUaP2g6hlAGOV2o7hFLq4teoAYw5Nr+2Qygl/4+69/2jq+bG1XYIpdyXn1/bIZSy80CD2g6hTK11da/s1NV2AHWAvAkmfNS9K09RFEVRFEWpMarlT1EURVEUxUp1+yqKoiiKotxE1GxfRVEURVEU5V9FtfwpiqIoiqJYSVnbEdQ8VflTFEVRFEWxUt2+iqIoiqIoyr+KavlTFEVRFEWxuhla/lTlT1EURVEUxepmGPOnun0VRVEURVFuIqrlT1EURVEUxUp1+yqKoiiKotxEbobv9q1Q5U8I8QzwBHBISjmhZkK6rjheBTKllO8IIdoAqwAJ3CuljKyG418AQqSUSUKI3VLKPpU4xhQgW0r5bYn1TYG1UsoOVY2zPLfPe5BWoV0w5uTxy7TP0P99oVSaIdPGEHx3fxzrubCg/SOF64PvHcCIWeNJT0gBYO83YRz8MbxScXSfP5EGg7tgyjGw6/nPSTlROg6vjk3p+/7jaB3tid16hAOvfAdAkzt60PmFu6nXMpD1t88j+VgUAA6ergz8/Bm8OwcRuXoH++d+W+qY5en/2kSaDO5Cfo6BLS98TmIZMfl2bMqQ9ywxXdx6hL/mfVe4rdOkoXR8aChmk5mLW4+we9EqHD1cGbHsGep3DuLUTzvY8XLFYirOdWBXGrzyGGg1pPy4icRPf7bZ7tKjPYGvPIZjm6ZEP/0WV/7cXbjNf+ZDuId2ByBhySqurN1ZoXMHDOpEyIKJCI2GcyvDObn0D5vtGns7+nw0Ba+OzTCkZrBzylKyYpIAaD91JM3HDUKazUTM/Rb99uMAjNr3PvmZuZjNZmS+iQ23vlJ4vFaPDKXVpKFIk5m4LUc4/PqqCsVbnrmL3mPHrv14eXqw5vvPqu245dl1PoG3Nh/HbIa7Ojfmkd6tSqXZ+E8sy3aeAiFoVd+dN+4M4cDFRN7ecqIwzYXkTN4YFcLgVgGVjqXn/Ik0tF7nO5//nOQyrnPvjk3pb733YrYeYZ/13guZO47/Z++8w6Mq1j/+md1sSCcE0um9BhJCCT1IV4qiIHhR0St2BQUugl0p14bt2q+iXAVUlKuIJCJNek3oLYGE9E7aJtlk5/fHHpLdTYA0yu8yn+fJkz1z3nPmu3Nm3n3PlHOaDQ/GXFJKXlwa2575jJLcQgIGdqXn/MnoDQ6UmUrZ9/oKkrcfq5W+JuHd6fz6fQi9jvPfbiT2g19s9uscHQj68HEaBrXClJ3PwRnvYTyfTsDE/rR+bGy5nXvn5mwb9hx5R+NqpcMnPIhur90Leh3x327idBV1PuSDR8t17H34fYznM3Bu1oRbtr5FfqhSjtgAACAASURBVEwSAFn7z3DoH1+id3Yk9POncW3hizSbSY08wLGFNa/Xg6z81IYr+CkHzU9ttfNTQZqfOqf5KZ1BT/iSB/EJagVmM1tf+g+Ju45XW1P/V6bRXNO06ZnPyKhCU5NuLQnXNMVvjGK7pil01h10mjoEY2YeAHv++T3xm6Jp4OnGCM13nvxhK9vq4DsV1aemPX+PAcOklAnWiUIIByllaf3JqhETgB+llK9X94Ca6K1N4Kcdd21+baqg/ZAeNG7lx9Ihz9A0uC3jFj7ApxNerGR34s8D7Po6klmb36m07/DaXax9aVmddAQO7Y5HKz/WDHiWJiFt6LP4fn4f+3Ilu76Lp7Nz7hdkHIjhluVzCAgPImnTIXJOJLD5offou+QBG/uyIhNRb/yIZ8emeHZoWiNNLcK749nKj/8MfBbf4DYMXnQ/P46rrGnIoulsnPsFqQdjGPvNHJoPCSJ+8yECwzrRakRPVoycj7mkFOfGHgCUFpvY/daPeHVoSuMaarJBpyPw1Uc4+7cXMKVk0vaXd8j9YzfFZ86Xm5QkpXN+9rt4P3S7zaHu4aE4d2nDqTFPIRwNtFm5mLzN+zHnG6uVtdAJei26j413L6EwOYtR614lIWI/uaeTym3aTBlCSU4Bv/R/lhbj+xL8/N1se+RDPNoF0GJ8X9aG/wNn30bcsmoevw6YjTRbZk5vuGshxVn5Nvn59utE05E9WTfMUpYNtLKsLyaMGc7UieOY/9pb9XreS1FmliyOPMQnd/fD192Ze5ZtYXA7P9o0qfhecVn5fLnzNMumDcTDyZGsgmIAerXw5vsHwgG4YCxh7KcbCGvlXWstTbW2t3rAs3iHtCFs8f2sraLthS2ezva5X5B+IIbhy+cQGB5E4qZDJG09zP7Fq5BlZkLnTyboibHsW7SKoqw8Ntz/NsbUHDw7NGXEt3P5PvSpmgvUCboseYA9kxZSlJRJ/4hFpEXsJ/9UYsV3mBpOaU4+W/rOxH9CGB1emErUjPdIWr2dpNXbAXDv1IyQZbNrHfihEwQtns6OSYsxJmcyeP3rpEQeIM9KR/Opljr/Z9gzBI4Po8vzU9j38AcAFMSlsnnY/Eqnjfn4NzK2H0MY9PT/YQE+Q7uTtjG62rIu+qnlmp8asuh+fqjCT4Vb+alx38yhxZAg4jQ/1XpET76z81Ndplrq2Irhz+Hc2INx38xh1W0vVmuFQ/Pw7jRs5ceKgc/iE9yGgYvu5+cqNA1aNJ0tc78g7WAMY76ZQ7MhQZzffAiAQ1+sJ/rTdTb2ZcUm9mq+06suvrMeuRne7VvtBR9CiE+A1sDvQohZQoiXhRDLhRDbgeVCCG8hxGohxF7tr792nKsQ4kshxB4hxEEhxPgqzu0vhNgqhIgSQhwRQgzU0vOtbO4UQiyzO24MMBN4VAixSQjRUghxxGr/bK2XECHEZiHEu0KIfcDTdudpLISIFEIcFUJ8AQirffnafyGEeFPTd1gIMVlLf08I8aL2eaT2PXRa+czW0nsKIaKFENHA41bn1mvn3CuEOCSEeLi61+NydBrRk6if/gIg4eAZnNxdcPP2rGSXcPAM+ek59ZFllTQb2ZOYHy09TxkHYnBs6Iqzj60OZx9PDO7OZBywdNjG/LiN5qNCAbhwJoncmORK5y01FpO29xRlxaYaa2o1oicnVls0pR6MoYGHKy52mlx8PHF0cyb1oEXTidXbaD3SoqnrtGHs/+hXzCWWewdjZm65puRaarLJu0c7SuKSKTmfijSVkvPrVjxG9LGxMSWkUXTiHNLOYTu1a0bBnqNQZkYaiyk6cRb3wT2rnXfj4DbknUslPz4ds6mMuP/uotlI2+Objgwh9gdL3YpfuwffAV0Ay7WO++8uzCWlFJxPJ+9cKo2D21w2v3b3DuPYhxVlWayVZX0R2qMbDT3c6/Wcl+NIcjbNGrnS1NMVg17HyM6BbD6dYmPzU3Qck3u2wsPJEQAv1waVzvPHyST6t/bF2VD7WTnNR/bkjNb20q/Q9tK1tnfmx2200Npe0tYjyDLLL2DagRhc/L0AyDoahzHV4jNyTibg4OSIzrHmOj1D2lJ4NgVjXBrSVEbymh34anlfxHdUKAnfbwUg5dfdNNHqmjX+t/cnec2OSunVpVFwWwrOplIYb9GRuGYnfnZ13n9kKOe/t9T5pLW7aTLg8oM2ZcYSMrTeUGkqI+fwOZy18qsurUf05HgN/dRxKz/V7RJ+yqtdIAnbj5anFecW4tu9VbU0tRzRk1OaprTLaDK4OZOmaTq1ehutRoZWOpc1pcZiUurBd9YnZinq7e9GpdrBn5TyESAJCJdSLtWSO2PpCZwCvAcslVL2AiYCX2g2C4CNUsreQDjwphDC1e70U4EIKWUPoDsQVU1N64BPtHzDq3GIo5QyVEr5tl36S8A2KWUX4GegeRXH3gFc1DdM+x7+wHPAZCFEOPA+MF3KSvcNXwFPSim726U/CFzQyqwX8JAQonot8TK4+zbiQlJW+XZuShYefo1qdI4uo3vxxO9LuPujp2lYQ8d1ERe/RhQmZZZvFyZn4WKnw8WvEYXJWZe1qU/c/BqRb6UpPzkLN7v83PwakW+lydrGs7UfAb07cOcvL3P7Dwvw6d66XvUZfBtjSsoo3zYlZ2LwbVytY43Hz+E+OATh1AB9Iw9cw4Iw+Depdt7Ofo0oTLK9Fs7+la9XgWYjy8yYcgtp4OWGs39FevmxF8tVSoaumMeo9a/R9p6KZurexg/vPh0YufZlhq1egFc9l+W1Ji2vCD935/JtX3dn0vKKbGzisvKJy8rnvuV/Me2brWyPTa10nohjiYzuHFgnLZbrVFHPC+rQ9trdPYiETYcqpbe4tReZR86VBxg1wcnPiyIrfcakLBr42foZJ38vihItNrLMjCnPiMHLNpj3Hx9G0s/ba5x/RR6NMFrrSM7Cyd9eR4WNLDNTmleIo6bDpbk3g/9YRP+fX8CrT4dK53fwcMFvRAjpfx2tkS7XWvipguQsXO381F2/vMwdVn4q41g8rYaHIPQ6PJp549OtJW7+1fMvVWlytdPk6teIAjvfaW3T9b7h3BW5iCFvPYRjQ5dq5au4OtR1wccvUsqLY0rDgM5ClEe6HkIIN2AEMO5iLxjghCW4sp5osBf4UghhANZIKasV/NWCVZdIH4QluENK+ZsQIrsKmwHACillGZAqhNgC9JJS/iKEeAjYCsyyn3MohPAEPKWUW7Wk5cBo7fMIIEgIcae23RBoB5y1O8cMYAbAaK9ehLi3rfYXrg0nNhzg0C87KCsppdfUoUx8+1G+nLrwqub5/wWdgw4nTzd+HPcyPj1aM+qjJ/im/zPXWxYA+X8dxCWoHW1/eoPSzAsUHjgB5us/fhE54TWMKdk0aOzBLSv/Qe6ZJNJ2n0Sn19HA042I216mcY/WDPz0Cf7b98Yoy6tFmVkSn5XPF1P7k5Zn5IFvt/HDg0PxcDIAkJ5fxJn0XMJa+VxnpRaCnhqHLDUT+5NtgOXZPpDQ+XcTOfWf10kZNAxpi9lYTP6JhCsbXwWKU3OI7PkUpux8Gga1os9Xz7Bx8FxKtWkWQq8j9JMniP1iPYXxaddUm87B0rZ+GPcyvlZ+6tiqLTRqF8Dk314jLzGD5P2nkdfIRxxdvoH97/2MlNB7zp30e+EeNs/+/JrkXVPUgo8rU2D1WQf0lVLa3OoKSzQ4UUp58lInkVJuFUIMAm4Flgkh3tEWSliPazlVQ08ptr2Z9scUcHXoBmQCATU8TmDpEYy4nJGU8jPgM4DnW06tcnJGn2nDCZ1i6VVJjI6lYUDF3auHnxe5KVXFs1VjzKmYm7Vv5SZGzpta7WM73DeMdlrvTmZULC4BFXeVLv5eFNrpKEzJLh9SupRNXel23zA6a2WTFh2Lm5UmN38v8u3yy0/Jxs1Kk7VNfnI2Mb/vtZwrKhYpJU5e7hRl5dWLVlNqJoaAit46g39jTKmZlznClrR/fU/av74HoNl7symOTbzCERUYU7JxCbC9FsbkytfLNcALY3IWQq/D4OFCcVY+xmRLus2xWpld/F+cmcv59ftpHNyGtN0nKUzO5vw6S1lmRsUizZIGXu4U11NZXmt83J1IyauYX5maZ8TH3dYF+bo70zXAE4NeR6CnKy283IjPzqer1sMaeTyR8Pb+GPQ1fwRrx/uG0V5rexlRsbha1XPXWrS9tpMG0mxYMOsnLbY5zsXfi6H/nslfT39CXlztgpqilCycrPQ5B3hRnJJla5OchVNgY4ou1jV3Z0xWdSNgQj+Sfq79kK8lj2ycrXX4e1GUbK/DYnNRh4O7CyWaDnOJxVdeOHSWgrhU3Nr4kRNtuXfv/tbfKYhNIfbz9dXS0u2+YXSpg59y9feioAo/lRoVC1Z+atsr35Yfc+fPL5IdW3lqzUW63DeMTpqm9Co0FdhpKkjJxtXOd160MWZUTOs4/t0mRi979nLFcV25GR71Up8PeY4Enry4IYTooX2MAJ7UgkCEEMH2BwohWgCpUsrPsQwXh2i7UoUQnYQQOuB2++OqIBXw0ebwNQBuq6b2rViGnhFCjAaqGnf8C8vwrl4I4Y2lt3CPpv1ZIBgYLYSwmaAlpcwBcoQQA7Qk61XSEVjmKxq0vNtXMSReLXYv/4N/jZnPv8bM51jkPnrcMRCApsFtKc4z1mhun/X8wI7De5IeU/0A4uTXG1g7YgFrRywgPmI/be60fO0mIW0w5RZiTLPVYUzLwZRnpEmIZX5YmzsHcD5if7Xzqw6Hv97AqlELWDVqAbER++k40aLJN7gNJXmFFNppKkzLoSTfiK82Z63jxAGcjbRoio3YR2C/zgB4tvJDZ3Cot8APoDD6NI4tAzA09UUYHPAcO4jcP/ZU72CdDr2nZTjKqWNLnDu2JO+vg9XOOzMqFvdWfrg280Zn0NNifF8SIg/Y2CRGHqD1XZa61fy23qRus8xtSog8QIvxfdE5OuDazBv3Vn5kHoxB79wAB1dLAKR3boD/4K7kaD01Cev34dvfUpburf3QOTr8vw38ALr4exKfVUBiTgGmMjMRxxIZ3NbPxia8vR/74i3BfHZhMXFZ+TT1rGjy64/Xfsj3xNcb+GXEAn7R2l5bre15h7Sh5DJtz1tre23vHEC81vYChwTR7dHb2HD/O5QVlZQf4+jhwvBvnmX/olWk7TtdK50AFw7G4NraD+fm3giDHv8J/Ui1a/dpEftpOmkQAH5j+5C5zWroVAj8x/UlqQ7z/QByoiw6XDQdgRPCSIm01ZESuZ9mkyx1PuC2PmRoc+YcG7uDzhIkuDT3wbWVHwVaMNzxH3dhcHfh8AvLqS6Hv97AylELWKn5qU419FOdJg4g1spPNa3CTzk4OeLgbJln2mxgV8xlZrKtFnTZc/TrDfw4agE/jlrA2Yj9tNc0+VxGkynfiI+mqf3EAZzTNFnPD2w1KpSsk9enx1ZhoT6f8/cU8C8hxCHtvFuBR4DXgHeBQ1oQd5bKQdkQYI4QwgTkA/dq6fOAtUA6sA9wu5wAKaVJCPEqsAdIBE5UU/srwAohxFFgBxBfhc3PQBgQjaVHci6WYPMPYLaUMkkI8SCWnstedsdOxzKsLbEEyRf5AmgJHNCC43Qsq5frxKlNUbQP78EzW5ZSYizmpzmflu97fN0i/jXGsjpt5LwpBI3vh8HZkTk7P2D/qs1sfHc1YdNH0nFYT8xlZRhz8lk9+9NLZXVZEv+MInBod27f/jalxhJ2PPNZ+b7bIheydsQCAHbPX0a/pTNwcHIkcVM0idqquGajQun9+r04ebkz9JvZZB+NY8M9bwBwx66lGNyc0Tk60GxUKBumLOHCZZzYReI2RtFiaHembbNo+vPZCk2T1y9k1SiLpi0LlnHLOxZNcZuiidtk0XR81RZueWsGUzYspqykjA2zKsrm3h1LcXR3RmdwoPXIUP57z5LLOtYqKTOT9OIntP7mFdDryP5+A8Wn4/GddQ/Gw6fJ3bAH56B2tPh0Pg4N3fC4pRe+s+7h1IjHEQY9bX5YYjlNfiHxs96GsuoP6cgyM/sWfM3Q7+Yi9DpiVm7hwqlEguZMJDP6LImRBzizYgv93n+Ecdvfpjgnn+2PfgjAhVOJxP26m9s2/9NynvnLkGaJs7cHg/49EwDhoOfczztI1lb+xazcQt93ZnDrxsWYTWXsfLp29exSzHlpCXsPHiInJ5dbJvyNxx6cxsSxI+s1D2scdDrmjQji0VU7MUvJ+KDmtPX24KOtx+ns78mQdv70a+XDzrPp3PH5n+h0glnhXfB0tiz+SMwpJCXXSM/m1Z+neSkS/oyi6dDuTNz+NmXGEv6yanvjIhfyi9b2ds5fxsClMyyPWdoUTYLW9vq+fh/6Bg6MXDkPgPQDZ9g57ys6TR+Oe0tfus+6ne6zLPfjkVP+SVENF+vIMjNHn/uK3ivng15HwopN5J9MoN3cu7gQHUtaxH7Of7eJ7h8+zuBd72LKyefgw++XH+8V1gljUibGWvY8Wus4NH8ZYSvmIfQ64ldsJu9kIh3n3klOVCwpkQeI+24zIR8+xi0738GUU1C+0rdx3450nHsX0lSKNEui536JKacAJ38vOsy6nbxTiQz5wzJdJvbLSOK/21xtXec0P3Xvtrcx2fmpu9cvZKXmpzYvWMawKvzUMc1PTbXzU85NPBj/n38gzWYKUrL54+mPq60pfmMUzYd2Z4rmOzdbabpz/UJ+1DT9tWAZ4e9Y6tT5TdHEa5r6zr+bxl1agJTkJWSwdd6X5cffs2MpBndn9AYHWo4M5bfa+M565Fq/3k0IMQrLugk98IWUcond/meAv2MZ3UwHHpBS1nKJu3ZO+xWDihubSw37Xk/am268twTm3niSGKS/cL0lVOJwScPrLaFKJh169XpLqETpr9ft6U2XZOXz1+8H8lL4ll6vp35dGpO4AR0CEG+48XQZrreAKnjk/H+u6TjssTa31tvvbOeY3y6rXQihB04Bw4EELGsgpkgpj1nZhAO7pZSFQohHgSFSysl10XXj1TyFQqFQKBSKm4PewBkpZayUsgTLSytsHoknpdwkpSzUNncBdX4gonq9m0KhUCgUCoVGfT6fz/ppHRqfaYs4LxIInLfaTgBsH+5qy4PA73XVpYI/hUKhUCgUCo36fNSL9dM66ooQ4m9AKDC4rudSwZ9CoVAoFArF9SERaGa13VRLs0EIMQzLSzMGSymL65qpCv4UCoVCoVAoNK7xOti9QDvt7V6JwN1oj567iPaIvE+BUVLKenliuAr+FAqFQqFQKDSu5Tt5pZSlQognsDz3Vw98KaU8qj22bp+U8hfgTSyPuvtBe2RyvJRyXF3yVcGfQqFQKBQKxXVCSrkOWGeX9qLV52H1nacK/hQKhUKhUCg01Lt9FQqFQqFQKG4iboZ3X6iHPCsUCoVCoVDcRKiev/9nuMobL173uQFf5+R2A77OSWe48W4n3czVf/fvteRGfJWaw9hHrreESvjOm3+9JVQixvHG+1lpZrox6/kZ/Y3nOw387w95XolrueDjenHjtVKFQqFQKBSK68TNMOfvxuseUSgUCoVCoVBcNVTPn0KhUCgUCoWGGvZVKBQKhUKhuIm48WZn1z9q2FehUCgUCoXiJkL1/CkUCoVCoVBoqGFfhUKhUCgUipsItdpXoVAoFAqFQvE/her5UygUCoVCodC4MR8JXr+o4E+hUCgUCoVCQ94EbzlRw74KhUKhUCgUNxGX7fkTQngCU6WUH13BriXQT0r5XTXs1kopu9ZIZeXzvAzkSynfEkJ0BFZieTTPnVLKmLqcWzv/OSBUSpkhhNghpexXi3M8AhRKKb+xS29JPZTBlRj+8jTahPfAZCxm7ezPSD1yrpLNoDl30e2OATg1dOXtzn8vT2/WuwPDXpqGT8dmrHnyQ06u21srDU3Cu9Pp9ftAryPh242c/eAXm/3C0YGgDx/HI6gVpux8ome8h/F8Ov4T+9PqsbHldu6dm7Nj2HPkHY1DGPR0XvwAXv06I81mTi9eRepve2qkyzc8iKDX7kXodZz7dhOnPvzVZr/O0YHQDx7FM6gVJdn57Hn4fQrPZ9AouA3Bbz6oiReceGs1Sb/vA8Dg4ULIOw/h0aEZUkoOzPqMrP2na1FqtrgNCsH/xRmg05H9fSQZn/xos7/xgxNoNGkElJVRmpVL4tx3MSWl1zlfAJ/wILq9di/odcR/u4nTVZRTyAeP0lC7fnsffh/j+Yzy/c6BjRm69U1OvLWamI9/w62NP6GfPlm+36WFDyfe+JHYz9fXSt/22FTe2HAYsxlu796cB8LaV7KJOJ7Ip9tOgBC09/FgybhQ9sal8+afR8ptzmXms2R8KEPb+9dKR014ftE7bN2+B69Gnqz5z9V7f3GT8O50fv0+hF7H+W83EmvX9nRa27t47Q5qbS9gYn9a27W9bVrba//cZALvGoTB05XI1vfXWtugV6bRYmgPSo3FbHjmM9Kr8E3e3Voy7J2HcXByJG5jFFtfWl6+L+j+4QTdNxxzmZlzG6PYsWglAI07NiN8yQM4ujkjpeT7216krNh0RT0X67nQ64i7TD2/6A/2af7gIs6BjblFq+dnPv4NXQMDA9e8iM7RAeGgJ2ntbk68ubqWpWXhjpfuo3N4MCZjMd/O/piEo+ds9hucHJn+0UyatPDFXGbm6J8H+PWfKwBo07sjt794HwEdm/P1k+8T/fvuOmm5yPiX7qNTeA9KjCWsmv0xiXaaAEbNnkToHYNwbujKgi7Ty9MbBTZh0hsP4+rlgfFCPt/N/BcXUrLqRVd9YL4JHvR3pWFfT+Ax4LLBH9ASmApcNvi7SkwAfpRSvl7dA4QQDlLKar1RuzaBn3bcdXszfZvw7jRq5ccng58lILgNo16/n68nvFzJ7syGA+z/+g8e2fyWTXpuUiZrn/2UPjPG1F6ETtB5yQPsnbSQoqRMwiIWkRaxn4JTieUmTaeGY8rJ56++M/GbEEb7F6YSPeM9kldvJ3n1dgDcOjUjZNls8o7GWb7bzNspybjAX/1mgRAYGrnVWFf3xdPZNmkxxuRMwte/TnLkAfKsdLWcOoSSnAIiw56h6fgwuj4/hT0Pf0DuifNsGvk8ssyMk48nQzcuJjnyALLMTNDr95K6MZrdf38PYdDj4Nyg9mVXrlVHwCuPcvbe5ylNyaT1mqXkbdhN8Znz5SZFR2OIGT8LWVSM1z2j8Zs3nfNPvVEPeQuCFk9nh1ZOg9e/TopdOTXXyunPsGcIHB9Gl+ensO/hD8r3d33lb6RujC7fzo9JZvOw+eXnHxn1L5K14LmmlJkliyMP8cnd/fB1d+aeZVsY3M6PNk08ym3isvL5cudplk0biIeTI1kFxQD0auHN9w+EA3DBWMLYTzcQ1sq7VjpqyoQxw5k6cRzzX3vrysa1RSfosuQB9mhtr7/W9vLt2l5pTj5b+s7Ef0IYHV6YStSM90havZ0kre2527W9tMj9xP07gsG73q21tBbh3fFs5cfygc/iG9yGIYvu54dxL1eyC180nY1zvyD1YAzjvplDiyFBxG0+RGBYJ1qP6Ml3I+djLinFubHlegu9jhHvP8ofT39CxvF4nDzdMJuq4eI1f7Bdq+dDqqjnLaYOwZRTwAatnne+Qj03F5vYNvF1ygqLEQ56Bv7yEql/RpN94EytyqzzkB54t/Ln9SEzaRHclrsW/p2lE56vZLfx87Wc2XkMvUHP49++QKchPTi+OYrspEy+m/0x4Q/dVqv8q6LjkB54t/JjyZBZNA9uy8SFD/L+hBcq2R378wDbv45k3ualNum3zb+H/T/9xb7VW2kb1oUxc+9mxTNXCjOuHWY17MsSoI0QIkoI8aaw8KYQ4ogQ4rAQYrKV3UDNbpYQoqUQ4i8hxAHt77IBlBDCXwixVTv+iBBioJaeb2VzpxBimd1xY4CZwKNCiE1avkes9s/WegkRQmwWQrwrhNgHPG13nsZCiEghxFEhxBdQceUvarjUdxdCvCeEeFH7PFL7HjohxMtCiNlaek8hRLQQIhp43Orceu2ce4UQh4QQD1/helSLdsN7cmT1NgCSDsbQwMMVVx/PSnZJB2MoSMuplH4hIYP0E+eRdbj98QxpS+HZFIxxaUhTGSlrduA7KtTGxndUKEnfbwUg9dfdNB7QpdJ5/G/vT/KaHeXbgVPCiX3/v5YNKTFl5dVIl1dwWwrOplIYb9GVsGYn/iN72uY5MpT47/8CIHHtbrwHWDppy4wlyDLLVGCdk6H8MfAO7s406duRc99ttsgylWHKLayRrqpw7t6e4rhkTOdTkaZSLqzdivvwvjY2BbsOI4ssQU3hwZM4+DWpc74AjezKKXHNTvyqKKfzWjklrd1NkwEVndl+o0IpiE8n72RClef3HtiVgnOpGBMyqtx/JY4kZ9OskStNPV0x6HWM7BzI5tMpNjY/RccxuWcrPJwcAfByrRyQ/3Eyif6tfXE2XJvpz6E9utHQw/2q5mHf9pIv0fYStLaX8utumlSj7eXsP0NxFf6iJrQe0ZPjmm9K1XyTi51vcvHxxNHNmdSDlkGc46u30XqkRX+3acPY/9GvmEssgZ0xMxeA5oO6kXH8PBnH4wEoysmvlv9qFNyWfDt/YF/P/az8QZKVPwDwHxVKYRX1vKzQ0iZ1Bj06Bz3I2vvSriNC2fuT5VrFHTyDs7sLHt62ZWYqKuHMzmOWvE1lJBw9i6efFwBZCekknYhH1kGDPV1G9GTfT5YyiT94Bid3F9y9K//GxB88Q1565Trj264pp3dYfqrP7DxKl+E9K9kori5XCv7mATFSyh5SyjnAHUAPoDswDHhTCOGv2f2l2S0F0oDhUsoQYDLw/hXymQpESCkvnjuqOuKllOuAT4ClUsrwahziKKUMlVK+bZf+ErBNStkF+BloXsWxl/ruzwGThRDhWL7ndCml/WKhr4AnpZTd7dIfBC5IKXsBPR77zQAAIABJREFUvYCHhBCtqvE9Lou7XyNykzLLt/NSsnD3bVTX09aIBn5eGK00FCVl0UBzRuU2/l4YEy02ssxMaZ4Rg5ftD6P/+DCSf7b0RDh4uADQ7h+TCPtjMT0+n4mjd8Ma6XLyb2Sjy5ichbO/1yVtZJkZU14hjpquRsFtGLblDYZt+idRc/+NLDPj2tyH4sw8er73MEP/WETI2w+hd6l7z5/BrzGm5Ioh3NLkDAy+jS9p32jSCPK37K9zvlB1OTldoZxKtXLSuzSg3RNjOfnWpYe6AieEkbhmZ631peUV4efuXL7t6+5MWl6RjU1cVj5xWfnct/wvpn2zle2xqZXOE3EskdGdA2ut40bEyc+LIutrV0Xbc/L3oijRuo5X3faStLZXX7j6NSLfSlt+chZufra+yc2vEfnJFUOABclZuGo2nq39COjdgbt+eZk7fliAT/fW5elIybj/zGXyutcJeeTWaulxtqvnRVX4A+cr1PMTVdVznSB8wyJGH/mEtK2HyT5Y+9lInr5e5FhpvJCSRUO762mj18OFLreEcGr7kUva1JWGNdRkT9LxOLqN6g1A15G9cHJ3wcWzhqM4VxGJqLe/G5WaLvgYAKyQUpZJKVOBLViCFnsMwOdCiMPAD0DnK5x3LzBd66XrJqWsWXdO9Vl1ifRBwH8ApJS/AdlV2FT53aWUhcBDwB/Ah/ZzDrV5k55Syq1a0nKr3SOAe4UQUcBuoDHQrlbf7H+QhiFtKTMWk3/CclctHPQ4BzYme+8pdg5/jpx9p+jw0t+uqabsgzFsGDyXTaOep/1T49E1MCAcdHh2a0nssg1sHD6f0sJiOjwx7prqajh+CM7d2pLxed3mFtUHHedMJOazdeW9H/YIgx6/ET1J+mXXVdVRZpbEZ+XzxdT+LBnXk1d/jyK3qGIOWHp+EWfScwlr5XNVdfx/pGFIW8xWbe9GQeego4GnGz+Me5ntC1cw6qMntHQ9/r3aE/nkR6y+41Vajwqlaf/KvZn1Scc5EzlzqXpulmwaNp+I4CdoFNwG945Nr6qWi+j0Ou59/ym2LltP5vm0a5JnbVi78Fva9OnErN8W06ZvJ3KSMzGbb5wHrJjr8e9G5WqNdcwCUrH0kumAossZSym3CiEGAbcCy4QQ72gLJaz7qZ2qkW8ptgGt/TEF1ThHbegGZAIBNTxOYOkRjLiskRAzgBkAE7x609utcnwYcu8wetxt6fxMPhSLR0BFD5G7nxd5qVXFs1eP4pQsnK00OAV4UWw3obc4OQvnwMYUJ2ch9Doc3J1thnH9J/Qj+eeKYSdTVh6lhUXlCzxSft1N4NTqdPhWUJScbaPL2d8LY3JWlTZGTZfB3YUSu+HlvNNJlBYU4dGxKcakLIzJWeV394lrd9PhyboHf6aUTAz+FXPRHPybYErNrGTn2r873o9P5uyUeciSak1lvSJVlVPRJcqpqPz6WcqpUXBbAm7rQ5cXpmLwcEGaJeZiE2e/jATAd2gPLhw+S3FGbq31+bg7kZJnLN9OzTPi427b3H3dneka4IlBryPQ05UWXm7EZ+fT1d/SixR5PJHw9v4Y9P9bDz0oSsnCyfraVdH2ipKzcAqsuHYGu7YXMKEfSVZtry50u28YXaZY2mladCxuVtrc/L3IT7H1Tfkp2bhZ9b65+ntRoNnkJ2cT87tlAVpqVCxIiZOXO/nJWSTtPklRtmWmUNymaLy7tiRh+9HLajPa1XOnKvyB8TL1PPC2PnS1qudlVvUcwJRbSMb2Y/iGdyevBoH0gGkjCJsyFID46Bg8rTQ29PO65OKIyYsfIv1sMlu+/L3aeVWXftOG00fTdD46ttqaqiI3LZuvH7HMA3R0aUC3Ub0pqoepMorqcyWvlwdYjwX8hWWIUy+E8MbSY7anCruGQLI2/DkN0F8uEyFECyBVSvk58AUQou1KFUJ0EkLogNur8X1SAR9tDl8DoLozXLdiGXpGCDEaqGqMtMrvrml/FggGRgsh+lgfJKXMAXKEEAO0pHusdkdgma9o0PJuL4Rwtc9YSvmZNlwdWlXgB3Dgmw18OWYBX45ZwKnI/XSdaMkuILgNxXmFVc7tu5pcOBiDS2s/nJt7W3p6JvQjLcJ2SDItYj8BkwYB4Du2D5nbrBy1EPiN62sz5wggPfIAXv0tHcmNB3a1WUBSHbKjYnBr7YeLpqvphDCSI211JUfup/mkgQAE3taHdO0HxKW5N0ILFJybNsG9bQCF5zMoTr+AMTETtzaW1aI+A7uSW0NdVWE8dIoGLQMwNPVFGBxoeNsg8jbYrtRz6tyawNefIH7Ga5RlXqhznhfJiYrB1aqcAieEkWJXTimR+2mmlVPAbX3I0Mpp24RX+aPX0/zR62liPl/Pqff/a/ODGHh7vzoN+QJ08fckPquAxJwCTGVmIo4lMritn41NeHs/9sVbguXswmLisvJp6lnRvNYf/98b8gVL23O1anv+E/qRWkXba6q1Pb8q2p7/uL4kramf4O/w1xtYOWoBK0ctIDZiP5003+Qb3IaSvEIK7XxTYVoOJflGfIPbANBp4gBitboXG7GPpv0s7d+zlR86gwNFWXnEbzlE447NcHByROh1BPbpSPbpK7fBnCr8QVX1vPkl6nlkr6eJtKvnjo3dMWhTVHROBrwHdSPvTFKNymzb8kjeHDOPN8fM43DkPnrdYblWLYLbUpRXSG4V8+jGPDsJZ3cXfn71m0r76oMdy/9g6ZjnWDrmOY5G7iP0DkuZNNc0VTW371K4NHJHCMuQ6NDHxrP3+81XQ3KtuRmGfS/b8yelzBRCbNcWUfwOzAXCgGgsvXJzpZQpQohMoExb0LAMy+rg1UKIe4H1XLnHbQgwRwhhAvKBe7X0ecBaIB3YB1x2UoCU0iSEeBVLQJoInLhCvhd5BVghhDgK7ADiq7D5GbvvjiXY/AOYLaVMEkI8iKXn0n4ofDrwpRBCApFW6V9gWSl9QFhaQjqW1ct1ImZjFG3Cu/PI1rcxGUv4bfZn5fseWLeQL8csACD8ubvpPL4fBmdHHt/1PtErN7Pt3Z/wD2rNHZ/NxKmhC+2GBTNw1kS+GD6vRhpkmZljz31F6Mr5CL2OhBWbyD+ZQNu5d3EhOpb0iP0kfLeJoA8fZ+CudzHl5BP9cMXUUK+wThQlZWKMsx26OPnadwR9+DiG1+6lJDOPw09/XGNdUfOX0X/FPMujHVZsJu9kIp3m3klOVCzJkQc4991mQj98jBE736Ekp4A92sq+xr070OHJcZZVhGZJ1LyvynsEoxd8Ta+PHkdncKAgLo39Mz+tka4qKTOT9PIntPz6VYROR/YPf1B8Oh6fmfdgPHyavD/34PfcA+hcnWj2oeX6mJLSiZ/xWp2zlmVmDs1fRphWTvFaOXXUyikl8gBx320m5MPHuGXnO5hyCmxWQF4KvUsDfAZ1JXrOF3XS56DTMW9EEI+u2olZSsYHNaettwcfbT1OZ39PhrTzp18rH3aeTeeOz/9EpxPMCu+Cp7Nl8UdiTiEpuUZ6Nq+fBTLVZc5LS9h78BA5ObncMuFvPPbgNCaOHVmvecgyM0ef+4reK+dbHrOktb12WttLi9jP+e820f3Dxxmstb2Ddm3PWEXb6/DCVALu6I/e2ZHwg/8i4dtNnH7rR/vsL8u5jVG0GNqde7dZfNOfz1b4prvXL2TlKItv2rxgGcPemWF51MumaOI2WVbTHlu1hVvemsHUDYspKyljwyxLOyu+UEjU578zae2rgOTcxmjObbzy1PGL9byfnT+wr+c9P3yMYVo933uFeu7k40nI+48i9DqETpD4yy5S/zhYo3Ky5timg3QO78ELW96jxFjMd3MqHiQxZ90S3hwzj4Z+Xox88g5SziQy+7fFAPz1dQS7Vm2ieVBrHvz0WZwbutL1lhBGz7qTJSPm1FoPwPFNB+kY3oN5W97FZCxm1ZwKfzdr3WKWjnkOgFvnTSVY+415fueH7Fm1ich3V9O2bydGz70bJMTuOc5PL35VJz31zY08XFtfiPpcAaS4+ixu8bcb7oIFF9XPUGN9UihuvKG89i61H+a8WsQUelzZ6DowYvG1mSNVExzGPnK9JVTijy7zr7eESsQ43ngvjmpmujF/zjc53Xi6DDdgb9Vb51ZcU1HrfO+ut9/ZMakrb7wCRb3hQ6FQKBQKheKm4sa7RVMoFAqFQqG4TtzIc/XqCxX8KRQKhUKhUGiY//djPzXsq1AoFAqFQnEzoXr+FAqFQqFQKDRuhnf7quBPoVAoFAqFQuOGe6TGVUAN+yoUCoVCoVDcRKieP4VCoVAoFAqNG+/pi/WPCv4UCoVCoVAoNMzif3/Onxr2VSgUCoVCobiJUD1/CoVCoVAoFBo3w4IPFfz9P2PmywHXW0Il1s5PvN4SKjE0JOF6S6iEvPFegQynr7eAqln5fNL1llAJ33k33nt0hx9ddL0lVOLjkKeut4RKPK9zvN4SqmSD8cbznbc5t77eEq47N8OcPzXsq1AoFAqFQnGdEEKMEkKcFEKcEULMq2J/AyHEKm3/biFEy7rmqYI/hUKhUCgUCg2zqL+/KyGE0AP/AkYDnYEpQojOdmYPAtlSyrbAUuCfdf2OKvhTKBQKhUKh0DAj6u2vGvQGzkgpY6WUJcBKYLydzXjga+3zj8AtQtRtSbIK/hQKhUKhUCiuD4HAeavtBC2tShspZSlwAWhcl0xV8KdQKBQKhUKhIevxTwgxQwixz+pvxjX+OlWiVvsqFAqFQqFQaFRnrl51kVJ+Bnx2GZNEoJnVdlMtrSqbBCGEA9AQyKyLLtXzp1AoFAqFQnF92Au0E0K0EkI4AncDv9jZ/ALcp32+E9gopazT4whVz59CoVAoFAqFxrV8zp+UslQI8QQQAeiBL6WUR4UQrwL7pJS/AP8GlgshzgBZWALEOqGCP4VCoVAoFAqNa/2GDynlOmCdXdqLVp+LgLvqM0817KtQKBQKhUJxE6F6/hQKhUKhUCg06nPBx42KCv6qQAjxMpAvpXyrns63DpiqbU6VUn5UH+e9FNtjU3ljw2HMZri9e3MeCGtfySbieCKfbjsBQtDex4Ml40LZG5fOm38eKbc5l5nPkvGhDG3vXysdvuFBBL86DaHXEfvdZk5++KvNfp2jA73ff5RGQS0pzs5n18MfUJiQgc+grgQtuBudwQGzqZToV78jffsx9M6OhH32FK4tfZFlZpIjD3B40apaabuIoWdvXGc8CTodRZG/UfTDdzb7G4weh9Ntt4O5DGk0UvDBW5SdjwNA37I1rk/MRri4gJRcmPkwmErqpAfAENob10eeROh1FP3+G8bvbTU53ToOp7EVmvLfe4uyeE1Tq9a4PTUb4eoCZknOk/WjyRq3QSH4vzgDdDqyv48k45MfbfY3fnACjSaNgLIySrNySZz7Lqak9HrLv8+r02g6tAelxmK2zfqMzCPnKtk07taSgUsfRu/kSMLGKHa/uByA0Oen0Gx4MOaSUvLi0tj2zGeU5BYSMLArPedPRm9woMxUyr7XV5C8/Vi19DQJ707n1+9D6HWc/3YjsR/YztXWOToQ9OHjNAxqhSk7n4Mz3sN4Pp2Aif1p/djYcjv3zs3ZNuw58o7G0f65yQTeNQiDpyuRre+vdVlVh+cXvcPW7XvwauTJmv98clXzsmfGKzPoGR5KsbGY9559l5gjMZVsXv7mFbx8vNA76Di65xifPP8xZnPFrKwJD93Ogy88yD3dp5KbnVsnPQ2HBNPitQcQOh1pKzaQ/OHPNvvd+3SmxasP4NKpBWcefYes33aW7+t9/gcKT8QDUJKYwan7F9dJy6V4buEzDLqlH0ZjEQueeo3jh09Wsvnqp4/w9m1CcVExAA9NfoqsjOx61THupfvoEN4Dk7GE72d/TNLRc5VsRs6eRMgdg3Bu6MqLXaaXp9/2wjTahFleYmFwaoBbEw9eDvp7veqrCzfDu31V8HcNkFKOAdDex/cYcNWCvzKzZHHkIT65ux++7s7cs2wLg9v50aaJR7lNXFY+X+48zbJpA/FwciSrwOIgerXw5vsHwgG4YCxh7KcbCGvlXTshOkHIovvZOnkxhclZDPv9NZIiD5B3qmIFe6spQyi5UMDv/Z6l2fi+BD0/hV2PfEBJVh7b7n2LotQcPDo0ZdCKf7A25EkATn68jvQdxxAGPYN/mI/f0O6kbIyupUYdro/OJPf5ZzFnpNNw6aeYdm0vD+4ASjZvoPh3y4+5oU8/XB56nLwX54JOj9vs58l/eyFlZ2MQ7h5QVlo7HXaa3B6fyYXnLJo8P/iUkl3by4M7gOJNGyj6zaLJsW8/XB9+nNwFFk3uc58n782FlMXWoyY7fQGvPMrZe5+nNCWT1muWkrdhN8VnKp5RWnQ0hpjxs5BFxXjdMxq/edM5/9Qb9ZJ906Hd8Wjlx+oBz+Id0oawxfezduzLlezCFk9n+9wvSD8Qw/DlcwgMDyJx0yGSth5m/+JVyDIzofMnE/TEWPYtWkVRVh4b7n8bY2oOnh2aMuLbuXwf+lQ1ykPQZckD7Jm0kKKkTPpHLCItYj/5VvW86dRwSnPy2dJ3Jv4TwujwwlSiZrxH0urtJK3eDoB7p2aELJtN3lHLdU6L3E/cvyMYvOvdeim3yzFhzHCmThzH/Nfq5V632vQMDyWgZQAPD5pBh+AOPLrwMWaPf7aS3T8fW4Ix3wjAc588R/9bB/DXr1sBaOLfhOBBwaQlpNVdkE5Hy0UPceLuVyhJzqTLujfIidiL8XRCuUlxYjoxMz/A/xH7FzCAuaiEI8Mr669PBt7SjxatmjG6750E9ezKi2/MZcroB6u0/cdjL3I0+sRV0dFhSA+atPLjzSGzaB7cltsXPsi/JrxQye74nwfY8XUkczYvtUlf+9ry8s/97htJQJeWV0Wn4tKoOX8aQogFQohTQohtQActrY0QYr0QYr8Q4i8hREctfZkQ4n0hxA4hRKwQ4k4t3V8IsVUIESWEOCKEGKilnxNCNAGWAG20/W8KIb4RQkyw0vCtEKKyV6kBR5KzadbIlaaerhj0OkZ2DmTz6RQbm5+i45jcsxUeTo4AeLk2qHSeP04m0b+1L86G2t0feAW3If9cKgXx6UhTGef/u4vAkT1tbAJG9eTc9xYnnrB2Dz4DuwCQcySOotQcAHJPJqB3ckTn6ECZsYT0HZbeGGkqI+fwOZz9vWqlD8ChfSfKkhIxpyRDaSnFWzdi6DvAxkYaC8s/Cyfn8pnAhpBQys7FUHbW0lMh83LBXPf7RYcOdpo2b8QxzE5TYYUmrDX1DKX0bAxlsfWryRrn7u0pjkvGdD4VaSrlwtqtuA/va2NTsOswUutxKDx4Ege/JvWWf/ORPTnz4zYA0g/E4NjQFWcfT1uNPp4Y3J1JP2AphzM/bqPFqFAAkrYeQZZZyiTtQAwuWv3JOhqHUatzOScTcNDq3JXwDGlL4dkUjHFpSFMZyWt24KvldRHfUaEkaPU85dfdNBnQpdJ5/G/vT/KaHeXbOfvPUJyWc+UCqQdCe3SjoYf7NcnLmr4j+rBx9UYATh48iauHK418GlWyuxj46R30ODgakFbT8f/+0kN8tegr6vjUCwDcgttSdC6Z4nhL3c767zYajextY1OSkI7xeFy9t6vqMnTUIH754XcADu0/gruHO0186vSih1rRZURP9v/0FwDxB8/g7O6Cu7dnJbv4g2fIS798Pe4xrh/Rv+y4rM21xlyPfzcqKvgDhBA9sSyd7gGMAXppuz4DnpRS9gRmY9tj5w8MAG7DEtSBZWg3QkrZA+gORNllNQ+IkVL2kFLOwbJ8+35NQ0OgH/BbXb5LWl4Rfu7O5du+7s6k5RXZ2MRl5ROXlc99y/9i2jdb2R6bWuk8EccSGd3Z/g0z1cfZz4vCxIpnUBYmZ+Hs18jOphHGpCwAZJkZU24hjl5uNjaBt/Ym+/A5zCW2PVgGDxf8h4eQ9tcRaouucRPMGRU9BuaMdPSNKwcqDW6dgOcX3+Ey/REKPn0PAH1gM5Dg/uqbNHzvc5wmTqm1jkqa0m016ZpU1uQ0dgKNvvoO178/Qv5HmqamFk0eC9/E88PPcb6rfjRZY/BrjCm5Ygi3NDkDg++lf3waTRpB/pb99Za/i18jCpIq6lVBchYudvXKxa8RhclZ5duFVdgAtLt7EAmbDlVKb3FrLzKPVK5zVeHk50WRlR5jUhYN/GxvSJz8vSjS2oIsM2PKM2Lwsg22/MeHkfTz9ivm979EY7/GZCRnlG9npmTS2K/quvTK8lf5z8FvMeYXsuM3Szn1Gd6HzJRMzh0/Wy96HP0aU2J1LUuSMzHU4OZS18CRLr+/QZdfl9BoVO8rH1ALfPy9SUms8NepyWn4+lc9OvP6ey+w+s/lPDLrgXrX4eHrxQWrsrqQkoWHX81vxD0Dm9ComTdndtTej18NpKi/vxsVFfxZGAj8LKUslFLmYnmgohOWYOwHIUQU8CmWgO8ia6SUZinlMcBXS9sLTNfmDHaTUuZdLlMp5RYsD3f0BqYAq7X39tlg/XqYf2+u5RCnFWVmSXxWPl9M7c+ScT159fcocotM5fvT84s4k55LWCufOudVFzzaBxL0/N3sn/tvm3Sh19Hn4yc48+8ICuLrby7ZpSj+bQ05f59K4Vef4jz5XkuiXo9D527kv/U6F+Y+gWPYQBy6h1x1LRcp+nUN2dOnUvjvT3GZatEk9HoMXbuR98/XyXn2CRz7DcTQ49ppsqfh+CE4d2tLxuerr5uGSxH01DhkqZnYn2wDLs/2gYTOv5sd//jymmlpGNIWs7GY/BMJVza+SXlp2ovcGzoNg6OBoP5BNHBqwF1PTOLbt/9zvaWVc7D3wxwdPZczjy+lxSsP0KCF75UPukr847GXuH3IPUwb9zAhfXsw7q7R103L5eg+NozD6/Ygzdf64SoKNefv0uiAHK0XryqKrT4LACnlViHEIOBWYJkQ4h0p5TdXyOcb4G9Yeh6nV2Vg/XoY41dzL9tKfNydSMkzlm+n5hnxcXeysfF1d6ZrgCcGvY5AT1daeLkRn51PV39L70jk8UTC2/tj0Nf+3sCYkoVLYMVdvIu/F8aUbDubbJwDvDAmZyH0OgweLpRk5QPg7O9Fvy9nseepTyiIs53P0/PNB8mPTeH05+trrQ/AnJmBrklFgKtr4k1ZZsYl7Uu2/onr47MoWGrpkTMdiUbmXgDAtG8XDm3aUxp9oO6avG01mTMural485+4PjkLgLL0dEyHKzSV7N2FQ9v2mKLqpskaU0omBqueBgf/JphSK79lyLV/d7wfn8zZKfOQ1ehBuxwd7xtG+3ssc1EzomJxDaioV67+XhTa1avClOzy4Vyw1D1rm7aTBtJsWDDrJ9lOyHfx92Lov2fy19OfkBdXvTlkRSlZOFnpcQ7wojgly9YmOQunwMYUXazn7s6YsiruCwMm9CPp5xtr2OtqMebeWxk5ZSQApw+dpol/Ra92Y7/GZKZc+o1VpmITu/7YTZ/hfclOy8a3mS/vr/8AsMz9e3fduzwz7hlyrjDMeClKUjJxtLqWjv6NMSVnXeYIO33adS+OTyV3xxFcu7amOK7yqEpNmTL9Tu78m2U20JGoY/gFVgSVvv4+pCZXvgFOS7GkFRYUsu6nCLoFdykfLq4tYdOG03vKUAASomNpaFVWDf28yE2pflldpPvYfvz3hWt3o1VdbuTh2vpC9fxZ2ApMEEI4CyHcgbFAIXBWCHEXgLDQ/XInEUK0AFKllJ8DXwD23S55gP3kmmXATACtF7FOdPH3JD6rgMScAkxlZiKOJTK4rZ+NTXh7P/bFW5xsdmExcVn5NPV0Ld+//njdhnwBsqNicWvlh0szb4RBT7PxfUmKsB3+S4o4QMtJgwBoeltv0rYdBSxDugOWz+bwopVk7j1l+/3+cRcGDxeiXlxOXSk9dQJ9YFN0vn7g4ECDQUMx7bbtCdIFVJSDoVcY5iRL74zpwB4cWraGBg1Ap8ehW3fKzp+ru6aTdpqGDKVk16U1OfYOoyxR07TfVpMhqDul8XXXZI3x0CkatAzA0NQXYXCg4W2DyNuw28bGqXNrAl9/gvgZr1GWeaHOeZ74egO/jFjALyMWEB+xn7Z3WuZAeoe0oSS3EKPd3DhjWg6mPCPeIW0AaHvnAOK1uhc4JIhuj97GhvvfoayoYhW0o4cLw795lv2LVpG273S1tV04GINraz+cm1vquf+EfqTa1fO0iP001eq539g+ZGr1HAAh8B/Xl6Q1N0fwt+6b33h69FM8PfopdkXsZOhESzDRIbgDhXmFZKfZBvJOLk7l8wB1eh29hoaSEJNA3Mk4poX8jb/3f5C/93+QjOQMZo6ZWevADyA/6gxOrfxp0MwHYXDAa/wAsiP3VutYfUNXhDZH1MHLHfdeHTGeOn+Fo6rHiq9+ZOIt05h4yzT+/H1reS9eUM+u5Oflk5FmGzDr9Xo8vRpatDjoGTx8AKdPVF5FXVN2Lv+D98Y8x3tjnuNo5D563jEQgObBbSnKK7zi3D57vNsE4NzQlbgD1W9v14qbYc6f6vkDpJQHhBCrgGggDcvwLcA9wMdCiOcBA7BSs7kUQ4A5QggTkA/ca5dPphBiuxDiCPC7lHKOlDJVCHEcWFMf38VBp2PeiCAeXbUTs5SMD2pOW28PPtp6nM7+ngxp50+/Vj7sPJvOHZ//iU4nmBXeBU9ny+KPxJxCUnKN9Gxet0n6sszMwfnLGLTiHwi9jrMrt5B7KpEucyaSFX2W5MgDnF2xmd4fPMroHW9TklPArkcsd/FtHxiBWytfOs+6g86z7gBg691L0Dk60HnmBHJPJzI8ciHwf+zdd3gUxf/A8ffcpYf0TgsJID20gHQSOiiKoDRFEBQbCtKkg0hVbMDPAhYQEATBRg0d6b23UNJIb6Rdksvd/v64I8mRACEJJF+Y1/Pk4W5ndvfDztze7MzsHlz7JYibv+3s6chTAAAgAElEQVQpXpB6HenffY39pwtApSJr+2Z0YSFYvzaUnODLaI8cxOr53pg3agq6HJS0NNK+NPQWKWlpaP5ai8NXP4CioD1+BO2xwyU6ZndiSvu/r3GYs8D4+JnN6EJDsHl9KDlXL5N9+CDWL/TGvElTyMlBn5ZG2oJ8MW1Yi+MiQ0zZR4+gPVoKMeWn0xM543uqLZ+JUKlIWredrOAw3Ee9iuZcMKk7j+I5cSgqWyuqLJ4AgDYyjrDhn5bK7iN2nqZyh4b0OfAFOk02/43O+730F4Jm80+XyQAcmrSMtl8NR21lwa3dZ4gw3hHeYtZg1JZmdF1jiC3u5DUOTfiFOm90xq6aBw0/eomGH70EQNCA+WQm3P/RIYpOz4WJv9B8zSRQq4hYvZu0KxHUHP8Kt8/cIHbbCcJ/203Dxe/T/vDXaJPTOPX2wtz1nVvWQROZgOaunsZaUwdSsXdr1NYWBJ76PyJW7SZ4wR93775UjJs+j2OnzpKcnELHXq/x3rBB9OnZ9ZHsK7/ju47jH+jPkv+WGh71MjbvzuZvtixkZPcPsbKxYupPUzGzMEelUnH24Fm2rNx8n62WgE5PyOQfqfXbNIRaRdyanWiuhlNpXH/Sz1wnOegYtg1r8MxPH6N2tMWxczMqje3HucBRWNesjM/8d1D0CkIliPy/P03uEi4t+3YcoF3HVmw5sp5MTSZTRuZ9rtbvXEGfjoOwsDRnyZqFmJmrUavUHPrvGH+s/LtU47i8+xS1Ahsxfu/XZGuyWDfuh9y0kZvn8k2PiQB0nzCQxi+2wtzagkmHFnP0993s+NowDaRhz5ac+ffpuOgpj0Rp3CUlFZ8QwgY4BzRRFOWB3SQPGvYtCxsn3XpwpsesQ5PyN3+q4GzOshcd/Pjv8iyKY1kF7xwsax455a8AO1+YU9YhFNC7SREekfOYTcmxKOsQCjVUV/7Onc9b+5Z1CAXMD1n9WG+dWFTltVL7nv0gfGW5vO1DDvuWISFEJ+ASsKgoDT9JkiRJkh4tvSi9v/JKDvuWIUVRdgDeZR2HJEmSJElPD9n4kyRJkiRJMirPN2qUFtn4kyRJkiRJMnoaGn9yzp8kSZIkSdJTRPb8SZIkSZIkGZW7R2o8ArLxJ0mSJEmSZFSe79ItLXLYV5IkSZIk6Skie/4kSZIkSZKMnoYbPmTjT5IkSZIkyehpmPMnh30lSZIkSZKeIrLn73+M3duryjqEAi5Wb1DWIRTgfzi5rEMoYIRt+TtO51Wasg6hUK+Uw9/RvW5R/k6X35XD39HdcHJhWYdQwHj/SWUdQqHWqV3LOoQC9mSryzqEMqd/Cvr+yt/ZTJIkSZIkqYw8DXP+5LCvJEmSJEnSU0T2/EmSJEmSJBk9+YO+svEnSZIkSZKUSw77SpIkSZIkSU8U2fMnSZIkSZJk9DT8vJts/EmSJEmSJBk9DY96kcO+kiRJkiRJTxHZ8ydJkiRJkmT05Pf7ycafJEmSJElSrqfhbl/Z+JMkSZIkSTJ6Gub8ycZfGRFC7AHGKopy3Pi+GrBRUZT6pbH9r76cSfduHcjQaBg27CNOnT5fII+5uTkLv5lF+/at0Ov1TJ02nz//3EyVKhX55advcHC0R61WMXnyXLZs3VWieGzaNMV90rugUnH7j60k/bjWJN1xcG8cXu4KOj26xGSip3xFTmQsZhXdqbhoGgiBMDcjeeXf3P59c4liudv0uR8T0KkNmZpMxo6YyoWzlwvkWf33j7h7upGpyQTg9ZffJSE+MTe9W8+OfLfsS17oOIBzpy8WK47ATwbhE9iIHE0WW8csIfZ8SIE87g2q0e2LtzGzsuDm7tPsnr4CALe6Vek0ZyhmlubodTp2Tl5G9JkbAFRuUYfA6a+hMlejSUxlbd/ZxYpv4PSh+AU2IVuTzU9jFxF64aZJuoWVBe99OxZ3b0/0Oj2ndx7nj/krAeg/dQh1WtY35rPE3tWB9/1eL1Ycd7gGNqTurMEItYrwVbu4segfk3SVhRl+i9/Hwc8HbVIap4Z/gyY8jop9WuP7Xs/cfHZ1q7K/00RSL4QWO5Z2nwzCu4Oh7HaMXkJcIWXn1qAanb40lF3ortPsM5YdgN+QzvgN7oxepydk12kOzlkDgEvtKgTOG4pFBWsURWHt89PQZWmLFePwT4bTNNCfLE0W34z5muvnrxfIM+PXT3B2d0ZtpuLC0Yt8P+U79Pq8fpBeb73EsKnDeLXhQFKSUooVR1FMmfMl+w4cxdnJkb9Wfv/I9vMgL00fTJ3Axmg1Wawe+x0RF0JM0s2tLBjy7ShcvD1QdHou7DzJxvmrSzUG23ZN8Zw6HKFWkfR7EAk/rDNJdx7aC6e+XVF0OnSJt4n8+Gu0kXEAVP1lJtaNapFx/CLhb31S4lja5KvnO0cvIf4e9bxDvnq+31jPm33UmzoDA8hMSAXg8Py1hO0+g8pMTcBnb+LWoBoqtYor6/dz8v/+LXGs0v3Jxt8TqHu3DtSs4UPtum14tnkT/m/xXFq16Vkg36SJHxIXl0Ddem0RQuDs7GhcPpJ1f/zLD0t+pU6dmvz79wpqPNOi+AGpVLhPfZ9bwyahjYnHe+1C0ncfJvt6WG6WrEvXCHtlE0pmFg79n8Nt7DCiRs8lJy6R8P4foWi1CBsrqv3zA2m7DqOLS7zPDosuoFMbqvlWJbBZTxr5N2DWgim81OW1QvOOentioQ072wo2vDH8VU4dP1vsOHwCG+JUzZOf243Bq3F1Os0ewm8vziiQr9PsN9j+8Y9EnbpO7+XjqBbgR8ies7SbNIBDX28gZM9ZfAIb0m7SANb2m42lvQ2dZg9h/aDPSI1MwNrFvljx+QU0wcPHiwkBI/BtXJNBs4czq9fEAvm2Lv2Hy4fOozY3Y/yq6TQIaMy5PadY8+my3DwdB3fHu55PseLIpRLUmzeUo31nkxmZQOttc4jddoK0q7dys1QeGEhOchp7W4zCq1dLak0dyOnh3xC5/gCR6w8AYFenCk2WjS1Rw887sCGOPp6saDsGj8bVCZgzhHUvzCiQL3DOG+wa/yMxp67zwq/j8A7wI3TPWSq1rINvl6b81nUS+uyc3DISahVdFr7L9pHfE38pDCvHCui1OcWKsWmgPxWrVeTtdsOp1bgW785+j7EvjimQb/5789CkaQCY+P1EWj/Xhv/+3QeAq5crjds1JjYitlgxPIxePTozsM8LTPp0wSPf173UCWiEm48XcwJG4d24Bi/PfpOve00pkG/30o1cO3QRtbma91ZNpXZAIy7vOV06QahUeM14l9DBU9BGx+P751ek7jxM9rXw3CyZF29wo9colMwsnAb2wH3CUG59OB+AhKXrEVaWOA3oXuJQqgY2xMHHk1XGet5+zhDWF1LP2815gz3Gev7cr+OoGuBH2B7DufHsj1s5/YPpxXv155ujtjTj984TMbOyoP+u+QT/fYjUiPgSx1xcT36/n7zb95ETQlQTQlwWQqwSQlwSQvwhhLB5lPvs2bMrK1b9AcCRoydxcHTA09O9QL4hg/szb/4iABRFISEhyfga7O0rAOBgb09UVEyJ4rHyq4U2LAptRDRoc0jZvBfbDi1N8miOnkXJzAIg88xlzDxcDQnaHBStoadDWJiDKN0HMHXuHsiG3w1XmaePn8PewQ63O/suotET3+f7hb+QZYy/OKp3acrF9fsBiDp1HUt7W2zdHU3y2Lo7YlnBmqhThh6bi+v3U6OrvyFRUbC0swbA0s6GtBhDWdZ+sRXBW46RGpkAgCaheL01jbs04+CGvQDcOBWMjZ0tDm6m8WVnZnP5kKGHWafNIfTCTZw8XQpsq8ULbTj8z/5ixXGHY5MaZNyMRhMai6LVEfXXQTy6+Zvk8ejmT8RaQ8Ml+t8juLapV2A7Xi+1JuqvgyWKxbdLUy4Zyy7GWHY2d5WdjbsjFhWsiTGW3aX1+/E1ll2DQZ048e2/6LMNDbs7ZVS1XQPiL4UTf8lwkZSZnIaiL97XUosuz7JrvaH3/sqpK9ja2+Lk7lQg352Gn9pMjZmFOUq+r8E3p7/FL3N+QVEe/Vejf6MGONjbPfL93E/9Lv4c22CoP6GnrmFtZ4P9XXVem5nNtUOGC0KdVkfEhZs4ejqXWgzWDZ8hOzQSbbjh3Hl74z7sOpleiGcczjt3ak5fxtwz7/yVfvAM+nRNqcTi06UpV/LVc4si1PMr6/fj09W/wLbyUxQwt7ZEqFWorSzQa3PITiudmItLX4p/5ZVs/D0etYBvFUWpA6QA7xmXrxJCnBZCnAZKbSyzUkVPIsIjc9/fioiiUkVPkzwODobehZkzxnP0yFbWrP4Bd3fDSWPmp18wcGBvQm4c599/fmXkqIJXuw/DzN2FnOi43Pc5MfGYexRsFOTG1qcr6f8dz1vf0xXvv77Dd9cKEn9aV2q9fgAeXu5E3cpr3EZFxuDpVbChDPDZopls2vM7H4wZnrusnl9tvCp5snv7fyWKo4KnE6lRCbnvU6MTqeDpVDBPdGKheXZ/spJ2kwYw/PA3tJsygP/m/w6Ak68nVg629P19Mq9t+pS6fdoUKz5HD2cSI/OuxJOiEwpt2N1hbW9Dw47+XDpwzmS5SyU3XKt4cOlgwWkID8PK05nMyLzjpYlMxPKuL10rL2cybxnyKDo92lQN5s6mDQqvF1sS+eeBEsVi6+lEWr5Y0qIKL7u0qLyyS49KxNaYx9HXk4rNa/HKPzPovW4y7g19c5ejKLywcjz9Ns+iyTvPFTtGF08X4qPyyi8hOgGXe5TfJytmsvLUKjRpGRzcZDg2z3Z+loToBEIu3Sx0nSeRg4czyfnKNTk6EYf7NOys7G2o17EJwQdKVrfzM/NwQZuv3HKi73/udHylC2l7j98zvSTuruf567BJnnvUc4D6gzvTL2gOgQvewtLB0AdyY9NRtJoshpxYzOtHvub0D5vJSk5/JP+H/0VCCGchxHYhRLDx3wJXbUKIRkKIQ0KIC0KIs0KIfg/armz8PR7hiqLc+YZZCdz5Bn5VUZRGiqI0Anrca2UhxHAhxHEhxHG9vnQ+FGZmaqpUqcjBw8dp/mw3Dh8+wWfzpwHQv18vfv11HdV8/en5wussW7YQUco9bvdi17MDlvVrkvTTH7nLcqLjCe31Lje7DsXhxU6oXRzvs4VHY9Q7k+je9mX6Pv8GzVo2oXe/5xFCMOXTscye+sVjj+duDQd1ZM/MVSxpMZI9M1fR9fO3AFCpVbg38GHDkAWsf20+LT7shZOP5wO2VjIqtYp3Fn7EjmWbiAs37TV+tmdrjm8+hKIv+2tihyY10GuySLscUaZxqMxUWDpWYN0LMzgwezXdvh1hXK7Gq9kzBH3wLet7z8S3mz+VWxfsvSxt0wdN43X/QZhbmOPX2g9LK0teGdGXVV+sfOT7/l+lUqt4feGH7Fu2lYTwRz8sXhiHFwOxalCThKXry2T/D3J+xQ5WtRnN710nkxGbTKuprwLg3sgXRadnuf8HrGw1mobDe2Bf1a1MY9WjlNpfKZgA7FQUpSaw0/j+bhnA64qi1AO6AV8LIe77RSnn/D0ed9eAh6oRiqIsAZYAmFlUKnTdd98ZzLBhhg/T8eOnqVylYm5apcpe3IqMNsmfkJBEenoGf/5p6HD8Y/1G3nijPwBvvNGf5543zHs7fOQEVpaWuLo6ExeXQHHkxCZg5pn3YTbzcEUbU3BbNi0b4/x2fyJeH5c71JufLi6RrOAQrJvWJy2o+MOGg4b1o/+g3gCcPXUBr0oeuWleFT2Ijip48o4xLktPy+Dv9Ztp2KQB2zfv4Zk6NVjzz48AuLm7snTVN7z16sgi3fTR6PVONBgQCED02RvYeeVd0dt5OpMWnWSSPy06Cbt8PQ/589Tr0zb35o+rG4/QZf6buetkJp8lR5NFjiaLiCOXcatblaSbpvWhMB0GdaP9gE4A3DxzDeeKecNJTp4uJEUXXh+GzH2HmJtRbP95U4G05j1bs3Lqjw/c94NkRidiVTHveFlXdCYr2rRHODMqEatKLmRGJSLUKsztrNEmpuamV+zVisg/izfk22BwJ+oZyy72zA0q5IulglfhZVfBK6/sbL2cSTfmSYtK4vqWYwDEnL4BioKVsx1pUYlEHrlCZlIaAKG7z+BWvxoRBy4UKcYerz9H1wFdAQg+G4yrV175uXi6kHCP8gPQZmk5vP0Iz3ZuQVJsEh5VPFi41TBFxNXLla83f83oF0aTHJdcpFj+V7Qe1IWWAzoAEHbmOo75ytXR05nb0YWPOvSd+xZxN6PY9/OWUo0nJyYB83zlZuZZ+LnTtlUjXN/rR8jAj1GyizcvtDD1B3ei7j3qef46fEf6feq5Jj5vysnF33bTY5lhzmnNXq0I23MWfY4OTUIK0cev4ubnS0pYHGWlnM35exEIML5eDuwBPs6fQVGUq/leRwohYgE34J4fUNnz93hUFULcmeQ2ECjZhKdCfPf9cvybdcG/WRf++Wcbg159GYBnmzch5XYK0dEFGzQbN20noH0rADoEtuHSpWAAwsNu0SHQ0DlZu3YNrKwsi93wA8g8dwVz74qYVfIAczPse7QnffdhkzyWdarjPuMDIt+fgS7xdu5yMw9XhKUFACr7Clg3rUf2zZL11Kz46XeeC+jHcwH9CNq8m979DDfDNPJvQGpKGnExphON1Wo1TsabYczMzOjYpR1XLl0jNTWNps8E0LZxD9o27sGp42eL3PADOP3rDlZ0n8yK7pO5tu1E7pCsV+PqZKVmkB5r+rlNj00mK02DV+PqANTt04brQScASItJonKLOgBUbV2P5BBD4+5a0AkqNquFUKsws7LAq3F1EoIjKYpdK7YyvcdYpvcYy8mgo7Tq3R4A38Y10aRmcLuQL/7eYwZgbWfL6pm/FEjzrF4JW4cKXDt5pUj7v5/bp65j6+uJdVU3hLkar16tiNl2wiRP7LYTVO7bzrDvns+SsD9fo0kIvF5oQWQx5/udW76DNd0ms6bbZG5sO0EdY9l5NK5OdmoGGXeVXUZsMtlpGjyMZVenTxtuGMvuxrbjVG5VFwBHH09U5mZkJqYStvcsLrWrYGZlgVCrqPRsbZKCb1FUm3/dxMjuHzKy+4cc3naIDn0MjZpajWuRkZpBUqzpF7eVjVXuPECVWkWzDv5EXI8g9Eoog5q8xputh/Fm62HER8UzqseoJ67hB3BgRRALekxgQY8JnA86TrPehvrj3bgGmtQMUgr5P3cf0xcrOxv+mvlrqcejOXsVi2qVMK9sOHc6PN+OtJ1HTPJY1fXFa9YIwt+eiS7h9j22VDznl+9gbbfJrO02mZvbTlDrIet5rT5tuGms5/nnB/p08yfxiuE8nnYrgUrGHm0za0s8Gtcg+VrRzlH/C/KP3Bn/hj94LRMeiqJEGV9HAx73yyyEaA5YAAVv589H9vw9HleA94UQPwMXge+AgrfflpLNW3bSrVsHrlw6QIZGw5tvjs5NO34sCP9mXQCYOGk2y39ZyBdfzCA+LpFhb30EwLiPZ/LDd58zcuRbKIrCsDc/KllAOj1xs76l8o+zQaUiZUMQ2ddCcflgEJnng0nffRjXcW+isrHG66vJAORExRH5/gwsqlfBbfxww6xgIUj6eT3ZwSEliyef3dv/I7BzG/Yc34hGk8n4D6blpm3aY2gkWlhasHzdd5ibm6FSqzmw9zBrfi3doZWbu07jG9iQYf99gVaTzbaxS3LTBm2ZzYruhuOyc8oyun0x3PiolzPc3H0GgO0TfiJwxiCEWoUuS0vQhJ8ASLwWScieswwOmoui13NuzR4Srj584/ns7pP4BTZh/t7/I1uTxU/j/i837ZPNC5jeYyxOns70/OBlIq9FMGPT54Z4l29h3+87AcOQ75F/Sza/7g5Fp+fCxF9ovmYSqFVErN5N2pUIao5/hdtnbhC77QThv+2m4eL3aX/4a7TJaZx6e2Hu+s4t66CJTEATWvIhupBdp/Hu0JDX9xvKbueYvLLrv3U2a7oZym7P5GV0+tJQdqG7zxBqLLuLv++l44LhDNwxF122jh0f/QBA1u0MTi/dQt+NMwGFkF1nCNlVvLtIj+86jn+gP0v+W2p41MvYr3PTvtmykJHdP8TKxoqpP03FzMIclUrF2YNn2bKydB+rVFTjps/j2KmzJCen0LHXa7w3bBB9enZ9rDFc3H2KOoGNmLz3G7I1WawZl/fImbGb57GgxwQcPJ3p8kFvYq7dYsymuQD8t3wbR37fXTpB6PREf/IdVZd9ilCpSP5jO1nBYbiNeg3NuWDSdh7BfcIwVLZWVF5kuPteGxlH+NszAai2Zj4WvlVQ2VpRc/9yIid+Q/p/J4sVSuiu01Tt0JBX939BjiabXfnqed+ts1lrrOf7Ji+jg7Geh+0+Q5ixnrec1B/Xet6gKKRExLN3ws8AnFu+nQ5fDKf/jnkgBJfX7iPhcnjBAB6j0pyUkn/k7l6EEDuAwubjTL5rW4oQ4p4dk0IIL2AFMFhRlPv+N8TjuHPraVbaz++717BvWbpYvUFZh1BA19ioB2d6zEbYlr/jdF5VtnfV3csrGvOyDqGA6xbl71o5SJS/3rcNJxc+ONNjNt5/UlmHUKi31KkPzvSY7ckueBd4WXsvfOXjmXRu9GG1fqX2Pbsw5PcSxS6EuAIEKIoSZWzc7VEUpVYh+ewxDAnPURTlj7vT7yaHfSVJkiRJksqnf4DBxteDgb/vziCEsAD+BH4tSsMPZOPvkVMUJaS0ev0kSZIkSXq0ytlz/uYBnYUQwUAn43uEEP5CiDt3z/UF2gFD7jw+TgjR6H4bLX/jGJIkSZIkSWWkPP22r6IoCUDHQpYfB940vl6J4TFyRSZ7/iRJkiRJkp4isudPkiRJkiTJqPz0+z06svEnSZIkSZJkVJ6GfR8VOewrSZIkSZL0FJE9f5IkSZIkSUZl/8vjj55s/EmSJEmSJBkpcthXkiRJkiRJepLInr//Mce9mpZ1CAXM01iUdQgFHKzjXNYhFLDrRllHUNCQpvFlHUKh9h+rVNYhFFBFW/4Gg6aoyt9nrzz+lNpnx+eUdQiF2ldvYlmHUEA395L/3vX/uvL3SS99svEnSZIkSZJkJId9JUmSJEmSpCeK7PmTJEmSJEkyksO+kiRJkiRJTxG9Iod9JUmSJEmSpCeI7PmTJEmSJEkyevL7/WTjT5IkSZIkKZf8bV9JkiRJkiTpiSJ7/iRJkiRJkoyehuf8ycafJEmSJEmS0dPwqBc57CtJkiRJkvQUeep7/oQQQwB/RVFGlCRPIeuMApYoipJR4iAfkl37JlSa/iZCrSZhTRCx3603SbdtXo9K09/EunY1Qj74nNubD+ameU0cgn0Hf4RKkPrfaW7NWFpqcQ2cPpQGgY3J1mTz09jFhF24aZJuYWXBu9+Owd3bE71Oz5mdx/lj/qrc9GbPteTFUX1RFAi/FMKSkd+UOCbLZ5thP3IEqNRkbNxE+srVJuk2L/bEpncv0OtRNBpuf/YFOSGhCHt7nGbNwLx2bTRbtpLy1cKH3rdXgB/+nw5CqFRcW72Hi4v/NUlXWZjRauE7ODfwISsplf3vLCY9wvBbvPVG9KT6gAAUvZ7jU34lau85AF488hU5aZno9XqUHB1bu08DoMGY3tQYGEBmYioAZ+auJXLXmSLHat6kObZvfQAqFZnbN5H5x28m6ZbdXsDquZdAr0PJ1JC+eAG68FAs2nfCunf/3HzqatW5PeotdDevPfTxAnAP9KPBp6+DWkXYqt0EF3LMmix6Fwc/H7RJaRx7eyGa8Hisq7jScd8C0q5HApB44hpnP/4ZtbUF/ktHYuvtgaLXExN0kouz1xQrJqFWEXqfmBz9fMhOSuP42wvJCM/7TWXrSi503Pc5lxes59p3m1BZmtP2r2moLMwQZmoiNx7h8ufr797tQ3EIaIz3p0MRKhWxq3cQtfhPk3S7Z+viPXMoNnW8ufbulyRuOpSb1jx8HRmXwwDIvhXP1SFzSxTLvbw0fTB1Ahuj1WSxeux3RFwIMUk3t7JgyLejcPH2QNHpubDzJBvnry58Y4/AlDlfsu/AUZydHPlr5fePdF/OgQ15ZtYQhFpF5KpdhC762yRdWJhRb/H72Pn5ok1K5fzwb8gMj0OYq6n9+XDsG/mi6BWuTllG8sGLJuv6/ToOa28PjrQfW+z4rFv74/Lxuwi1ipQNW7n90+8m6Q6v98GudzcUnQ594m3ipn1BTpThN4N9Tm8hOzgEgJyoWGI+nF7sOB6Vp+GGj6e+8fcIjQJWAo+38adSUfnTt7n+6jS00Qk8888X3N5xlKzg8Nws2sg4wsZ8g/vwXiar2jStja1/Ha50/RCAmuvnUaFFfdIOny9xWA0CGuPh48XEgA/wbVyT12cPZ1avgj9qvm3pP1w+dAG1uRnjVk2nQUBjzu05hXs1T3q815s5faaQkZKOnYt9iWNCpcJ+9EgSPxqHLjYO1x+/J2v/QXJCQnOzaLbvJONvw5e5ZetW2H3wHkljPobsbFJ//BlzHx/MfH0eetdCJWg2ZzC7+s8jIyqRbptnErHtBCnBkbl5qg8IIDs5nX9aj8H7xRY0ntKf/e8sxr5mRbxfbMHGwI+x9nCi4+8T+LfNWBS94YS145XZZCWmFdjn5aVbufT95oeOFZUK23dGkTJ1DPqEOBy+/AHtkQPowvOOU/beHWRt/QcA8+atsBn2PqkzxpO9dwfZe3cAoPb2xW7yrGI3/FAJ/Oa+wcG+c9FEJdB+6yyig06SevVWbpaqAw3HbGfL0VR6sSX1pgzg+NuLAEgPjWFPp0kFNnv9u03EH7iIMFfTet1k3Ds0JLaoDWOVoOHcNzhgjCmgkJi8BwagTU5nhzGmuvliAqj/yWvE5NufPkvL/j6z0GVkIczUtP1nOjE7z5B0srjHTUW1OW9xuf8nZEclUG/zZyRvO4YmOCI3S9atOK6PWoTXOy8WWF2fmc35zmOKt/0wsvUAACAASURBVO8iqhPQCDcfL+YEjMK7cQ1env0mX/eaUiDf7qUbuXboImpzNe+tmkrtgEZc3nP6kcZ2R68enRnY5wUmfbrg0e5IJag1byin+s4mKzKBZtvmEr/tOOn56lTFgR3QJqdzqMVIPHq1osbUgZwf/g2VXusIwJGAcZi72tPot4kc6zoJjA8tduvRHF16ZgnjU+E6eQRRwyeQEx1PpTWLyNh9CO2NsNwsWZeukdJ/BEpmFnZ9n8d59JvEjpsDgJKVza1X3i1ZDI/Y0zDn74kc9hVC2AohNgkhzgghzgsh+gkhQoQQrsZ0fyHEnkLWWyaE+F4IcVwIcVUI8Xy+5IpCiK1CiGAhxGf51vnOmP+CEOIT47IPgYrAbiHEbuOyLkKIQ0KIk0KIdUKICsbl84QQF4UQZ4UQJT6r2DSqSVZIFNnhMSjaHJL+/Q+Hzs+a5MmOiCXzcgjo76rgioLK0hxhboYw9jpo45NLGhIAjbs04+CGPQDcOBWMjZ0NDm6OpnFlZnP50AUAdNocQi/cwMnTBYD2/Tux69etZKSkA5CakFLimMzr1EYXEYkuMgpyctDs2IVlm9YmeZSMvLa7sLbKPYkqmZloz55Hyc4u1r5dGlcnNSSGtLA49FodoX8fpkrXpiZ5Kndtwo11/wEQtvEoHm3qAVCla1NC/z6MPjuH9PA4UkNicGlcvVhxFIVZzTroom6hjzEcp6x9uzB/to1JHkWT7zhZWRe6HYt2Hcn6b1ex43BqXIP0mzFkhMWiaHXc+usQnncdM6+u/oSvNRyzyI1HcG1T/77b1GmyiT9g6BlRtDqSz4Vg7eX8UDGl5YspopCYPLv6E5YvJrd8MXl18ycjLI7UKxEm6+gysgBQmatRmalz611xVGhcg8yQKLLCDOeExL/349S1uUme7Ig4NJdCQV82s53qd/Hn2IZ9AISeuoa1nQ32d50ftJnZXDtkKCudVkfEhZs4eha9rErKv1EDHOztHvl+7JvUQHMzhsxQQ52K+esgrt2ameRx6+ZP1Nq9AMT+exgnY52yfaYySfsNF+va+BRyUtKxb+QLgNrGkqrvPEfIVxtKFJ9lg1powyLJiYiGnBzSt+zFNrCVSZ7MY2dQMg11OOvsJcw83Eq0T6n0PZGNP6AbEKkoSkNFUeoDWx9i3WpAc+A54HshhJVxeSOgH9AA6CeEqGJcPllRFH/AD2gvhPBTFGUhEAkEKooSaGx0TgE6KYrSBDgOjBZCuAAvAfUURfEDZpXg/wyAuacL2qi8ISVtVDzmxgbUg2ScvELaoXPUP7aM+seWk7LvFFnXIh68YhE4ebiQGJmQ+z4xOjG3YVcYa3sbGnX059KBswB4+FbE08eLiX/MYvKfc6jfvlGJY1K7uaKLjc19r4+LQ+3mWiCfTe9euP2+Evt33ybl60UF0ovD2tOJjMjE3PcZUYlYezmZ7tfTiXRjHkWnR5uSgaVzBay98pbnrutpXFdR6LB6At22fkqNVwNNtvfMG53psWMOLb58CwsHmyLHqnJxRR+f7zglxKF2KXicLHv0wnHJb9gMeYf0HwoOyVu2DSR7784i7/duVl5OaPLVIU1UIlZ3NdTy51F0enJSM7BwNnxh21R1o/32ObT+cyrOz9YqsH0zexs8uzQh7r8LRY7J+q6YMqMSCzQere8Rk9rGkpojenJ5QSFDuipB4I45dD//PbH7zpF06nqRY7qbhacL2flizI5KwPwhGrgqSwvqbfmMev/Ow6lb8wevUAwOHs4k54sxOToRh/s07KzsbajXsQnBB0o+KlHeWHk6k5nvWGRFJmDpaXpusPRyJuuWaZ0yd7Yj9WIorl39EWoVVlXdsPPzxbKi4TzrO6EfYd9tRKcp3gXrHWburuREx+W+z4mJQ+1x73O5Xe9uZOw/lvteWFhQac1iKq78BpsOre65XlnSl+JfefWkDvueA74QQswHNiqK8p8QoqjrrlUURQ8ECyFuALWNy3cqinIbQAhxEfAGwoG+QojhGI6lF1AXOHvXNlsYlx8wxmEBHAJuA5nAT0KIjcDG4vxnS4uFtxeWNSpzocVQAKqvmklqs7qkH7v4gDVLl0qt4p2FH7Fj2Wbiwg2NDrVajYePF5/1n46TpwsT1s5karfRaFIe/ah6xoa/yNjwF1adO1Jh8CBuz573yPdZXEG9PkUTnYSliz0d13xMyrVIYo9cIXj5Ds5/9SeKAg3Hv0yT6a9yeHTpzecEyNr8F1mb/zLM8+v3Oulf580NM3umDkpWFrqwm/fZwqOTFZNMUNMP0Sal4eDnw7O/jGZX+/HkpGkAEGoV/t+P4MaPW8kIi33A1kpH7XF9uLZkc24vnwm9wu5OkzC3t6H5Lx9hV7syqZdL50LsYZ1q/jba6EQsq3pQZ90nZFwKJSs0pkxiAcP54fWFH7Jv2VYSwh9PWf2viPptN7Y1K9EsaC6ZEXHcPnYVRa+nQj1vrKt5EDztV6yqPL5euArPd8Sy7jNEvpE3vzCs62voYhMwq+yJ14+fkX31JjkRUY8tpqJQnoLf9n0iG3+KolwVQjQBegCzhBA7gRzyejqt7rlywV92ufM+/xlaB5gJIXyAsUAzRVGShBDL7rFtAWxXFGVAgQQhmgMdgZeBEUCHQvIMB4YDTHH2o08F73sGr41OwNwrr1fG3MsVbXTCPfPn59CtBRmnrqLPMMwJSdl9AtsmtYvd+OswqBvtBhjmoNw8cx3ninlXh86eziTdI67Bc98h5mYU23/elLssMTqBm6eD0eXoiI+IJfpmFB7VvAg5W/weEV1cPGp399z3Kjc3dHHx98yfuWMXDmNGcbvYe8yjiU7CpmJez4aNlzOaqCSTPBnRSdhWdEYTlYhQqzC3tyErMQ1NlGG5ybrRSbnbBchKSCF86wlcGlcn9sgVMuPzhsmvrdpNwK9Fn8OlT4hH5ZrvOLm4oUu493HK3rcT23c/Ij3fMot2HcjeV/xeP4DMqCSs89Uhay9nMqMSC82TaTxmZnY2ZBtvctFnG+ZB3j57k/TQGCpU9yT5jKEx2nDBm6TfiObG0ocZJADNXTFZeRnKq7A8d8fk1LgGlZ5/lvpTB2Jub4OiV9Blabn5c1DuutqUDOIPXMQjsGGxG3/Z0QlY5IvRwssF7V0x3o822pA3KyyGlIPnsa3vWyqNv9aDutBygOF0F3bmOo75YnT0dOZ2dOEx9p37FnE3o9j385YSx1AeZUYnYpXvWFhWdCEr2vTckBWViGUlF7Ly1SmtsZ4HT/s1N1/TjTPRXI/CsWVd7Bv60urYIoSZGgtXB5psmMbJ3jMfOr6c2HjMPPMakGYebuhiCp7LrVs0xvGtAYaGn1abu1wXa8ibExFN5vGzWNapUe4af0+DJ3LYVwhREchQFGUl8DnQBAgB7kzG6XOf1V8RQqiEENUBX+DKffLaA+nAbSGEB9A9X1oqcGeCyGGgtRCihjE+WyHEM8Z5fw6KomwGPgIaFrYTRVGWKIriryiK//0afgAZZ4Kx9KmIRRUPhLkZTj3bkrL9yH3XuUN7K44Kz9YDtQrM1FRoUZ/Ma+EPXvEedq3Yyowe45jRYxyngo7SqncAAL6Na5KRmsHtuILzCV8a0x9rOxtWz/zFZPmpoKPUamGY81bByQ5PHy/iwkr2BaS9fBl1lUqovTzBzAzrTh3IOnDQJI+6cqXc15atWpATcevuzRRLwukb2Pl4YlvFDZW5Gu8XWxARdNIkz62gk/i+0haAqs83J2a/oREeEXQS7xdboLIww7aKG3Y+niScuo7a2hIzW8O1h9raEq/29Uk2Nhis3PPmT1Xp7k/ylaI3JHKCL6OuWBmVh+E4WbbrgPboAZM8Kq+842Tu3xJ9ZL7tC4Flm0CyStj4Sz59HVtfT2yquiHM1VTq1ZLooBMmeaKDTlClr+GYVXz+WeIPGIZwLVzsQGXo/bep6o6tjyfpoYZeo9ofv4K5nQ3npq4oVkwV8sVU+R4xVS0kpv29ZhLUbCRBzUZyfelWri78m5s/B2HhYoe5vWFYXmVljlu7BqRei6S40k5fw8rHC8sq7ghzM5xfbENS0LEHrwioHWwRFoY+AjNnO+ya1UZztfjnhPwOrAhiQY8JLOgxgfNBx2nWux0A3o1roEnNIKWQ80P3MX2xsrPhr5m/Fkh7UqSeuo6NrydWxjrl0asV8duOm+SJ33Ycr77tAXDv2YKk/YY6pbK2QGVjCYBzuwYoOXrSr97i1vLt7G/4LgebfcCJF6aTcSOqWA0/gKzzVzD3roRZJcP5wLZ7e9L3HDLJY1G7Oq7TRhL9wTT0iXnlqLKvAObmhteO9lg1qkf29VDKGz1Kqf2VV09kzx+GeXmfCyH0gBZ4F7DGMLz6KbDnPuuGAUcxNOzeURQl815DxoqinBFCnAIuYxgCzv+NuATYKoSINM77GwKsFkJYGtOnYGgg/m2cVyiA0cX5z5rQ6YmY9gO+v85AqFUkrt1BZnA4nqMHknH2Gik7jmLtVwOfJZNQO1TAvlMzPD8ayJXOI0jefJAKrfyoHbQIFIWUvSdJ2Vm0L4kHObv7JH6BTZi3dzHZmix+HvdtbtqMzZ8zo8c4nDyd6fnBy0Rei2D6JsM9NTuXb+W/33dyfu9p6rVtyKztX6HX6Vk7dwXpyQXvaH0oOj0pXy7E+cvPQKVCs2kLOTdDqDDsDbSXr5B14CC2fV7Cwr8p5OSgT001GfJ1W7cala0NmJlj1bYNiaPHmdwpfD+KTs/xycvp8Nt4hFrF9TV7uX31Fn7j+pBw5ia3gk5ybfVeWi18hxcOfEFWchoH3l0MwO2rtwj99wjP75lv2M6kZSh6BWs3e9r9NAoAYaYm5M+DRO0xzEBoMqU/TvW8URSF9Ih4joz/uejHSa8j/fuvsf9kAahUZO3YjC4sBOtXh5ITfBnt0YNYPd8b80aG46SkpZGWf8i3XkN0cbGGG0ZKQNHpOTtpGS1XT0CoVYSt3kPqlVvUHv8yyadvEB10ktDf9tBk8Xt0PPQl2uT03LtqXVrUpvb4V1C0OSh6hTPjf0abnI6VlzO1PnqJ1Ku3CNg+G4AbPwcR9tueh4qplTGm0HvE1HTxe3QyxnTs7fvPG7Vyd6TJQsNjNIRKcOufw8RsP1X8A6fTEzL5R2r9Ng2hVhG3Zieaq+FUGtef9DPXSQ46hm3DGjzz08eoHW1x7NyMSmP7cS5wFNY1K+Mz/x0UvYJQCSL/70+Tu4RLy8Xdp6gT2IjJe78hW5PFmnF5j1IZu3keC3pMwMHTmS4f9Cbm2i3GbDLUr/+Wb+PI77tLPZ7CjJs+j2OnzpKcnELHXq/x3rBB9OnZtdT3o+j0XJn4M43XTAK1iqjVe0i/EoHv+FdIOXOD+G0niPxtN3UXj6Dl4W/QJqdx/m3DHFsLVwcarZkEeoWs6EQujlhc6vGh0xM/ZzGe389BqFWk/rkN7fVQnN5/nawLV8nYcxjnMW8hbKzx+GIqkPdIF3OfqrhNH4mi1yNUKpJ/+t3kLuHyojzP1Sst4mkY2y4q47DtRkVR/ijrWO7ltPcL5a7AFgqLsg6hgNmVizbU/TjtulHpwZkes25NS6cXp7TtP1b+jlW5++ABXqoSPrbjEVhjUf7OB58dn1PWIRRqX72Cj7sqaz7uSQ/O9Jj5ngsq8qT90tCz6vOl9nH/N2zjY429qJ7Unj9JkiRJkqSH9jQ85082/vJRFGVIWccgSZIkSVLZKc9z9UrLE3nDhyRJkiRJklQ42fMnSZIkSZJk9DTcCyEbf5IkSZIkSUZPw92+cthXkiRJkiTpKSJ7/iRJkiRJkozk3b6SJEmSJElPEXm3ryRJkiRJklQmhBDOQojtQohg479O98lrL4SIEEI88KddZONPkiRJkiTJSFGUUvsrBROAnYqi1AR2Gt/fy6fAvqJsVDb+JEmSJEmSjPQopfZXCl4ElhtfLwd6FZZJCNEU8ACCirJROefvf8x+vX1Zh1CAgzqnrEMo4Eqwa1mHUICtKH8PEJh+zrOsQyhULfPyd116rRzW8x2aW2UdQgHr1OXvs1cef0MXoN2FuWUdQgGZM0aUdQhPFCHEcGB4vkVLFEVZ8hCb8FAUJcr4OhpDA+/ufaiAL4DXgE5F2ahs/EmSJEmSJBmV5t2+xobefRt7QogdQGFX4pPv2pYihCgsuPeAzYqiRAghihSXbPxJkiRJkiQZ6R/zL3woinLP3johRIwQwktRlCghhBcQW0i2lkBbIcR7QAXAQgiRpijKPecHysafJEmSJEmSUTl70Ms/wGBgnvHfv+/OoCjKq3deCyGGAP73a/iBvOFDkiRJkiSpvJoHdBZCBGOYzzcPQAjhL4T4sbgblT1/kiRJkiRJRuXpIc+KoiQAHQtZfhx4s5Dly4BlD9qubPxJkiRJkiQZlafG36Mih30lSZIkSZKeIrLnT5IkSZIkyaiUfpmjXJONP0mSJEmSJCM57CtJkiRJkiQ9UWTPnyRJkiRJklFp/sJHeSUbfw8ghAjB8MDE+IdcbxmwUVGUP4qYv5oxf/2HDDFX208G4d2hETmaLHaOXkLc+ZACedwaVKPTl2+jtrIgdNdp/pu+IjfNb0hnGgzujF6nJ3TXaQ7OWUOVtvVpOaEfagszdNk5HJi9mlsHLxY3RBMvTR9MncDGaDVZrB77HREXTOM1t7JgyLejcPH2QNHpubDzJBvnry6Vfd/hHNiIGrPeQKhVRK3aSdiiv0zSHVrUocanQ6hQ15uLb39N3MbDuWl+qydj37Qmt49e5txr80oUh3ugHw0+fR2hVhG6ajfBi/81SVdZmNFk0bs4+vmQnZTG8bcXkhGeVyWtK7nQcd/nXF6wnmvfbcK6ojNNFr2LpZsDKBCyYhc3ftxaohhfnj6EeoGNydZksWLsd0RcuGmSbm5lwbBvP8LVWF7ndp7gH2N5dRj2HC37d0CfoyMtMYWV478n6dZDfaRytctXz3c8oJ6bGev5vrvquZ+xnocY67nKXE3gvGG4+/mAXs++6Su5dfhSseLrPX0wdY31etU96vUb347C1dsDvbFe/2s8TtWb1+alaYOpWLsqyz9YyJktR4oVw4NMnD2adh1bodFkMvnDT7l07kqBPL9s+BY3D1eyMrMAeKvfhyTGJ5VaDLbtmuI5dThCrSLp9yASflhnku48tBdOfbui6HToEm8T+fHXaCPjAKj6y0ysG9Ui4/hFwt/6pERxOAc25JlZQxBqFZGrdhG6yPQZusLCjHqL38fOzxdtUirnh39DZngcwlxN7c+HY9/IF0WvcHXKMpLvOjf6/ToOa28PjrQfW6IY72fKnC/Zd+Aozk6O/LXy+0e2n7up6zTF6uW3QaVCe3Ab2dvXFZrPrFFrrN+cTPpnI9GHBYNKjdWrI1FVqQEqFTlHd5EdtPaxxV0UT8OcPzns+4TwDmyIo48nK9uOYffHP9F+zpBC8wXMeYNd439kZdsxOPp4UjXAD4BKLevg06Upq7tOYnWnCZz6YTMAmsRUNg39gtWdJ7Jj9A90/uadUom3TkAj3Hy8mBMwirWTlvLy7AKPKwJg99KNzOs4hgXPTcCnaS1qBzQqlf0DoFJRc94wzg6czdG2H+H+UmtsnqlskiXrVjyXR/4fMRv2F1g97Nu/uTRiUSnEIWg49w0ODfyMne3GUfmlVtg9U8kki/fAALTJ6exoOZrrP2yh7pQBJun1P3mNmF1nct/rc/Scn7GKXe3Gs6/HNHzf6Fxgmw+jbkAj3Hw8+SRgJKsnLaX/7GGF5tu5dCOzOo5m3nMf49u0FnWN5RV+MYTPek5kbvfxnNpyhF4TXy10/Qe5U89XtB3Dro9/IuAe9TzQWM9XGOu5d7567tulKb91ncRv+ep5vYGBAKzuPJG/Bs6nzdSBUMTfyMyvrrFezwoYxZpJS3nlHvV619KNzOk4hs+N9bqO8TglRSbw29jvOPH3gYfed1G17dgKb58qdG/xMjPGzmPaZ+Pvmffj96bRp+Mg+nQcVKoNP1QqvGa8S9jQ6Vzr+i4OPdthUaOKSZbMize40WsUN54bQcqWA7hPGJqblrB0PbfGfFEKcQhqzRvK6YFzOdx2NB4vtcb2rs9JxYEd0Canc6jFSMJ/2EyNqQMBqPSa4dFrRwLGcarvLGrOGGRSZ9x6NEeXnlnyGB+gV4/OfP/lrEe+HxNChVXf98j4dhrps97BrGl7VJ5VCuaztMY84EV0Ny/nLjJr0hbMzMmY8x4Z80di3ro7wtn9MQYvgWz8mRBC/CWEOCGEuCCEGF5I+utCiLNCiDNCiBXGZdWEELuMy3cKIarmW6WdEOKgEOKGEOJlY34hhPhcCHFeCHFOCNGvNGL36dKUy+sNDZSYU9extLfFxt3RJI+NuyMWFayJOXUdgMvr9+Pb1R+A+oM6ceLbf9Fn5wCgSUgBIP5CKOkxyQAkXonAzMoClUXJO4zrd/Hn2IZ9AISeuoa1nQ32bqbxajOzuXbIcCWt0+qIuHATR0/nEu/7DvsmNdDcjCYzNBZFm0PsXwdw7eZvkiczPI70i2GgL3glmPzfeXRpmhLH4dS4Bmk3Y8gIi0XR6oj46xCeXZua5PHs6k/Y2v8AiNx4BLc2eR3EXt38yQiLI/VKRO6yrNhkbp8LASAnPZPU4FtYeToVO0a/Ls04aiyvkFPBWNvZFlpewYcuAIbyCs9XXsGHLqDNzM5d39HTpVhx+HZpyqWHrOeX8tXzBveo5841KxFx4ELusqyUDDwa+jx0fCWt14kRcUReDnukPQ8durXjn3VbADh74jx29na4uhevPIrLuuEzZIdGog2PBm0Otzfuw65TC5M8GYfPohh7HTWnL2Pu6Zqbln7wDPr0kn/2DOeAGOM5QEfMXwdx7dbMJI9bN3+i1u4FIPbfwzgZP3u2z1Qmaf95ALTxKeSkpGPfyBcAtY0lVd95jpCvNpQ4xgfxb9QAB3u7R76f/FTVnkEfH4mSEA26HHJO7sPMr2WBfJbPDyJ7+zqUnOy8hYqCsLAClQosLECXg5KZ8RijfzA9Sqn9lVey8WdqqKIoTQF/4EMhRO4ZUQhRD5gCdFAUpSEw0pi0CFiuKIofsApYmG97XkAb4HmMP8kC9AYaAQ0x/FTL58Yfay6RCp5OpEUm5L5Pi0qkwl1f9hU8nUiLSiw0j6OvJxWb1+Llf2bw0rrJuDf0LbCP6j2aEXcuJPeLsyQcPJxJzhdvcnQiDvdp2FnZ21CvYxOCD5wv8b7vsPR0JitfDFmRiVgWs1FSEtZeTmjyxZEZlYi1l/M98yg6PTmpGVg426G2saTmiJ5cXrD+ntu3qeKKQ/1qJJ28XuwYHT2cSDIpr4T7NsSt7W1o0LEpVwopr5Z9A7m453Sx4rAtRj1Pj0rE9q56/so/M+idr57HXwzDp3MThFqFfRU33BtUo4LXw9cFx7vq9e0H1GtrY72+Wor1+kHcvdyIvhWT+z4mKhYPL7dC8876Zirrd67gnY+GFppeXGYeLmij8ob9c6LjMfe49/F2fKULaXuPl2oMAFaezmSanAMSsLyrPll6OZN1y/SzZ+5sR+rFUFy7+iPUKqyqumHn54tlRcP/wXdCP8K+24hOk82TSOXggj4pr/z0SfEIB9PyU1WujnByQ3fhmMnynFP7UbIzsZ29igozl5O9cz1kpD2WuItKUZRS+yuvZOPP1IdCiDPAYaAKUDNfWgdg3Z25f4qi3Pl2aQn8Zny9AkNj746/FEXRK4pyEfAwLmsDrFYURacoSgywFzC91LyLEGK4EOK4EOL4gbTgEvz37k1lpsLKsQJ/vDCDA7NX0+3bESbpzs9UotWk/uye+PMj2f99Y1OreH3hh+xbtpWE8NjHvv/yrPa4PlxbshldRlah6WobS5r/+BHnpq0gpxR6KYtCpVYxZOGH7CmkvJr1akNVv+rsXPLPY4mlQGxmKiwdK7Durnp+8fe9pEUn0m/Tp7Sd8RpRJ4JR9PpHG0s5r9cfvzedlwJeZdALb9OkRSNeeKV7mcTh8GIgVg1qkrD03hc4ZSHqt91kRSXQLGguz3w6mNvHrqLo9VSo5411NQ/ithx78EaeVEJg2ectsjYsLZCkrlYL9HrSJ79G+vQ3sOjQG+HiWQZBPt3kDR9GQogADD1xLRVFyRBC7AGsSrjZ/N/IDz+ByEhRlCXAEoDFVV7LvZRoMLgTdQcY5irFnrlBhYp5V14VvJxJizado5MWnUSFfD1K+fOkRSVx3Xiyij19A0VRsHK2IzMxFVtPZ3osHcX2Ud+TElr8L6nWg7rQckAHAMLOXMcxX7yOns7cjk4sdL2+c98i7mYU+37eUux9FyYrOjH3Sh3AsqIzWdEJ91nj0dBEJWGdLw4rL2c0UYmF5smMSkSoVZjZ2ZCdmIpT4xpUev5Z6k8diLm9DYpeQZel5ebPQQgzNc1/+ojwDQeI2vzwX0TtBnWh1QDDvKbQM9dxMikvF5LvUV4D5g4n7mY0e37ebLK8VusGdB3Rm6/7zSDnIXqPGwzuRL0S1HNbL2fSC6nnMadvQL56vv+TVbnrvPznNJJuRBUpvjb3qdcO96nX/Yz1em8p1+vCDHjjZV5+7UUAzp++iGclj9w0Dy93YqLiCqwTG21YlpGeweYN22jQuF7ucHFJ5cQkYO6VN4xr5umKNqbgZ8+2VSNc3+tHyMCPUUphxOFumdGJWJmcA1zIuqs+ZUUlYlnJhax8nz1tYioAwdN+zc3XdONMNNejcGxZF/uGvrQ6tghhpsbC1YEmG6ZxsvfMUo+/rOhvJ2DulFd+KidXlNv5ys/SGpWXNzYj5wMg7J2wfnsamh9mYub//+3dd3hUZdrH8e89KSShR5qCdKUoHRURkbKIsqC+oogFlbVX1oKiqCg2LGtZdV3UXRfLKmJvKyhFQETpYEGagiAh0gNJSLvfP86ZZFIJAfIcmfvjlSs5Z87M/JxzmHnmqb3I+WEB5OWiu3aQu+YHbqG7OwAAIABJREFUYhofRc6WlMr+3yhVkJtrDxSr+StQE9jmF/xaA92K3D4NODfcFCwi4U+XOcBQ/+8LgVl7eZ5ZwHkiEiMidYGewLcVCbxswhdMPG00E08bzZrJC2g92Kt0rN+pBVlp6aSnbi90fHrqdrJ2ZVC/UwsAWg/uwc9TFgCwZvJ8GnZvC0CtZg0IxcWSuTWN+BpJDJpwC3MenkjK/P2rdfzq1Sk8PmAUjw8YxXdT5nPc2T0BaNKpJRlp6ez8fXux+5x+yxASqifx/thXit22v9IWrSKx+eEkNK6HxMVS76yT2Dz5wDct7c32xaup1rwBSY3rInExNDrrRFL88xKWMmUBjYecDMARA09gs98/bfZZY5ly3AimHDeC1S9+xoq/f8DP/54CQKcnr2TXyg2sHl+4EFZeM1+dwrgBtzNuwO0snTKP4/3z1bTTUaWer4G3nEdi9STeGTuh0P5GxzRl6EOXM/7yR9nl97Mrr2UTvuDN00bzpn+dt9nH67zN4B6sibjOG5VwnccmxBObWAWAI08+lrzcPLat/K1c+Wa/OoXHBozisQGjWFbkus4s5XUacMsQEqsn8d5BuK5L8sbLb+cP3Jj6v5n5tXjtuxzLrrRdbE4tXPCKiYmhVnJNAGJjYzilXw9WLq94t4GiMpauIL5pQ+Ia1Ye4WGoO7MmuqYVHNie0bc7hD1zPr1eNJXfLjgP23JHSFq0mqXkDEvx/e/XP6l7sPWDz5PkcPuQUAOoN6sa22d6/vVBiPKEk75pJ7tkOzclj94oNbJjwObM7XMOc425gwRljSF+z8ZAq+AHkrV1BqO4RyGH1ISaW2M49yVlaMBMCmensHnU+u8cMZ/eY4eT+spyM8WPJW7cS3ZpKbKsO3nHxVQg1bU3epl/d/I+UQg/gf0ElQW6TrkwiUgV4H2gK/ATUAu4F/oM/1YuIXAKMBHKBRap6qYg0AV4G6gC/A8NVdV3RqV5EZJeqVhMRAR4FTgcUeEBVJ5Z3qpfImr+iej5wCU16tScnI4upt7xA6lJvKo7zPnuQiaeNBqBe+2b0feJKbwqM6UuYebf34ROKi6Hv41dS55jG5Gbl8tUD/2XDnB/oeuOZdLluENt/Lugj9OGFj+R3lAdYHVOxb+SDxw6n9SkdycrYw5sj/8mvy9YAcOun43h8wChqNkjm3rn/YNOqDeRkZQMwa8Jkvpk4fa+PfWZGbrkyJPftRMv7vWkeNr4xnXVPvUvT284jbclqtkyeT/WOLTj25ZHE1qpKXmY2WanbmXfKzQB0/GAsSS0bElM1gZxtaSy/6Xm2zVhS6nNtl7hSb6vftyPtxg7zpnp5YwYrnv6A1redw/bFa0iZspBQlTi6PHstNY9tQvb23cy76hnS1xWuhW1962Bydmey6vlPSD6+FT0/HMOOH9aB33z5w8NvsWlq4b52XySU73UCGDL2L7Q5pQPZGVm8NvJ51vnna9SnjzBuwO3UapDMA3OfJyXifH05YTJfT5zG9a/dxRGtjswvCG3bsJnxVzxW6nO1yi39tTrFv86zi1znQz97kDcjrvM/RVznXxa5zutGXOfr5/xA9UZ1OPO129G8PHanbGPqyBdJ21C4QLSqnNf5OWOH08a/rv8bcV2P/HQcj/nX9di5/yj0Os2aMJm5E6fTuH1zLht/C4k1q5KzJ5udv29n3KkjS32uLzJ+LvW2stz18EhO6tONzIxM7hpxP98v8UZjvjP1VQb3HUZiUgIT3h9PbFwMMaEYvp41j0fveYq8cjSFT6pWZ6/HAFTr1ZX6d12JhEJsf/tzNv9jInX/ehEZy1aya+o3NH7lQRJaNSEn1auJy/7td369yitENX3zEeKbH0moagK529L47Y6n2T1rYanPtXFXtVJvO6xvR46+/xKICbHxjRn88tR7NL/tXHYuWcPmyQsIVYmj7bPXU71dU7K37+K7q54mc20qCUfWpeObd0KesidlKz/e9E8y1xeevijhyLp0eO32Uqd66fn9w+V6rcoycsw45i1ayvbtOzksuRbXXjaMwYP6V/jxMu+9fu8HATFtu3pTvUiI7LlTyJo8kfg/X0TuupXkLitckE8cMY497/3Lm+olPoGEi24idHhjQMie+znZU8tu0q/+7KcVbjmriPYNTjxgBaOlKV9XavbyssLfH0xZhT9XKlr4O5jKW/irTGUV/lzZl8JfZSqr8OdKeQt/lamihb+DqbyFv8pUVuHPpQNR+DvQylv4q0yVXfg7tn63A/Y5+92muYEs/FmfP2OMMcYYX5Cbaw8U6/NnjDHGGBNFrObPGGOMMcaXFwXd4azwZ4wxxhjjs2ZfY4wxxhhzSLGaP2OMMcYYnzX7GmOMMcZEEWv2NcYYY4wxhxSr+TPGGGOM8VmzrzHGGGNMFLFmX2OMMcYYc0ixmr8/mA7Zma4jFPOe7nQdoZira8e4jlDMxp3JriMUU1+D+RYQvJV9IY7gLdE5MLG56wjFzMgK3r+90+qluo5QoiCuo5tw77OuIzinmuc6wkEXzHd+Y4wxxhgH8qzZ1xhjjDHGHEqs5s8YY4wxxqc22tcYY4wxJnpYs68xxhhjjDmkWM2fMcYYY4zPmn2NMcYYY6JINKzwYc2+xhhjjDFRxGr+jDHGGGN8trybMcYYY0wUUdUD9rO/RCRZRD4XkZX+79qlHNdYRKaIyI8i8oOINC3rca3wZ4wxxhgTTKOAqap6FDDV3y7JK8BjqtoGOB4oc01Da/Y9CPwS98eqeqyIdAUuVtUbRaQXkKWqcw7m89fu3ZHm9w9HYkKkvD6V9c++X+j2Gt3a0GLscKq2bcLyq59k88dzAah6TFNaPnIFMdWTIDePdU+/w+YPDlzU68Zeywl9jmNPxh4evelxVn63qtgxD7/2IIfVSyYmJoZl337H30c/S15eHs3bNOemcTeSUDWRTb9u4qEbxpG+K32/MyX16EL90VdDKMSOtz9j64uTCt1e+9L/o+Y5p0FuLjlbd5Ay+klyfksl9oh6NHzmbggJEhvLttc+ZMfETyuc4/Be7el8/zAkFGL1GzP48dmPCt0eio+l29+vIbldU/Zs28Wcq59h9/rNxNeuRo8XRpDcsTk/vzWTBaMnFHvsk/9zM9Ua1+N/fUp7zyif/vdeTMveHcjOyOLDW8eT8t0vxY7pPfJc2p19Mok1q/JI28vy93e+sC/HXdyPvNw8stIz+eSOf7F55YYK5TjpvmE07tORnIw9TL/5BTaXkKNOu6b0fuIqYhPiWTdtMV+NeRWArjedTZsLepGxJQ2Abx95i3XTl1ClVjVOHX8j9To056dJM5l99ysVygZw5phLaNO7I1kZWUy89Xk2fF8832m3DqHr2T1JrFmV0ccMz99fu2Edhjx6FVWTa5CxYxf//etz7EjZWuEskc4YcwmtenckOyOLt259nt9KyNX/1iF09nPdE5Fr4N3DaHFiWwDiEqpQrU4N7m1/eYVy9LhvGE388ze1lPNXt11T+vjnb+20xcz2z99x/vnL9M/fXP/8hWJj6PXo5dRt15RQTIif3pnNwuc+Kva4e5N4UlcOu/0aJCbEznc/Y8e/Jha6vebFg6l+9mlobi55W3fw+z1/I2ej9xnbbPH/yFrp/b/kbExl041j9vn5SxLTpgsJ51wFoRDZcyaT9fmkEo+L7XgSiZePZvejI8hbtxJCMSRcOILQkS0hFCLn22lkTXnrgGTam7seeoKZX31Lcu1avP/aPyvlOQ+kgM3zdybQy/97AjADuD3yABFpC8Sq6ucAqrprbw9qhb+DTFXnA/P9zV7ALuDgFf5CIVo8fDnfDRnLno1b6fjZOLZOmU/6ivX5h+zZsJmfRjxHo2vPKHTXvIw9/HTDM2T+nEJ8/dp0mvIo26YvJnfn/heyju9zHI2aNeTiHsNp07k1Ix6+kesH3VjsuPuvfjC/UDfmhbs5ZWBPpn84g1seu4nxD7zA0rnLOO28/gy5+lz+83jxgs4+CYWof891rP/LnWRv2kyTSU+za9o3ZK1el39I5o+r2X7OjWjmHmoN/TN1b/0LG28eR87vW1k39GY0OxtJSqDZR/9k1/S55Kbu+we1hIQuD13K9KEPk7FxK6d+ej8bJi9kZ0ThqPn5vcjavpuPT7qFxmd2o8Nd5zPn6mfIzcxm6WOTqNXqSGq2blTssRud3pWc3Xsq9vpEaNm7A8nNGvDcKbfQsFNLBjwwnH+fVfzDbcUXi5g34XOum/G3Qvu/+2AOC1+fCsDRf+pMv7su5I1LHt3nHI17d6Bmswa8cfIt1OvUgpMfupT3zri32HE9HxrOl7e9ROqi1Qx4ZSRH9mrPrzOWArD0pc9YMr5wQT13TzbzHn+b5FaNSG5V/HUsr9a9OlK3WQPG9bqJxp1aMvjBy/j7WXcXO+6HqQv5asIURs14stD+gXdeyIJ3ZzH/nZm0PPEYBtw2lDdu/keF84S16tWROs0a8Jif6/8evIznSsj149SFzJkwhZFFcn18/6v5f3e/pD9HHNO0QjnC5+/1k2+hfqcWnPLQpbxTyvmbcdtLbFq0mj+/MpLGvdqzLuL8LS5y/loMPJ6YKrFM7HcHsQnxDJ32CCs/+Jq09ZvLHy4Uos7o69l45ShyUjbT8M1nSJ/+NdlrCt4P9vy4ip1Dr0cz91B9yECSb76c1JEPAaB7sthw7jX7/qKURUIkDLmW9GdHo9s3kzTyKXKWzSUv5dfCx1VJJK7XmeT+vDx/V2znkyE2jvSHroW4KlS9659kz5+Bbi2zQuiAOGtAPy4YfAZ33v/4QX+ug+FATvUiIlcCV0bsekFVX9iHh6ivqhv9v1OA+iUcczSwXUTeBZoBXwCjVDW3tAe1Zt8iRGS0iKwQkdki8oaI3CoiM/waPESkjoj84v/dVERmichC/6d7CY/XS0Q+9msDrwZuEpHFInKyiPwsInH+cTUityuqeqeWZP6cQua6VDQ7h9/f/4rk/scVOmbPr7+T/uNayMsrtD9jzUYyf04BIGvTNrI27yDusBr7EyffSad2Z8rbnwPw48LlVKtRleR6ycWOCxf8YmJjiIuLy/9H2Kh5I5bOXQbAgpkL6Tmgx35nSmh/NNnrfiN7fQpk55D26ZdU69ut0DEZ3yxFM73CU8aS5cQ1qOPdkJ2DZmcDIPFxIFLhHMmdWrDrl03sXvc7edm5rPtgLo36dyl0TKP+Xfh50kwAfv34Wxr0OAaA3Iw9bP52Bbl7sos9bmxSFVpfNYDvn3q/2G376uh+XVj6ziwANixaRUKNJKrVq1XsuA2LVrErdXux/Vm7MvL/jkuqUuEcTU/twop3ZgOQumg1VWpUJalIjqR6tYirlkjqotUArHhnNs36dy3zcXMy9pAyr+TXcV8cc2oX5r/rvU7rFq0ioXoS1esWf53WLVpF2u/FX6f6RzVi5ZzvAFj19fcc069LsWMqmmtBRK7EfcwVqeMZ3VnyYcW+vzY7tQs/+edv06LVxJdy/uKrJbLJP38/leP8qUJcYhUkJkRMQjx52TmFrrnyqNKuFdnrfiNnfQrk5LD7f19StXfht/TMeUvy3w/2LP2R2Pp19+k59lWo6dHkbf4N3ZICuTnkLJxJbPsTi2cfOIyszyehOVkFO1WR+AQIhSA+HnJz0Mz9/yJfHl07tqNmjeqV8lxBp6ovqGrXiJ9iBT8R+UJEvivh58wij6VQYrVkLHAycCtwHNAcuLSsXFb4iyAiXYChQEdgAN6LWJZUoJ+qdgbOA/5e2oGq+gvwT+BJVe2oqrPwqm//7B8yFHhXVffr06fK4cns+a3g227Wxi1UObx4IWtvqnVqSSgulsxfNu1PnHx1GhzG77/9nr/9+8bN1GlwWInHjnvtId5Z/Bbpu9OZ+Yn3gbV2xS+c1N97Iz5lYE/qHrH/b7qx9euQvbEgU07KZmLrl5wJoOY5p7Jr5vz87dgGdWj6wT9oMf0Vtr40qUK1fgBJDZJJ/21L/nb6xq0kHl64T29ig9qk/+Y9vubmkbUznfjkamU+brvbzmX5Pz8lN2P/a/6qN0hmZ0TGnSlbqV6/xH7Hpep6cT+um/kEfe84n8ljKlZrW7VBbXZF5Ni1cStVG9QudszujVtLPebYS/px7pSH6PX4FcTXTKpQjtLUrJ/M9oh8O1K2UrNB+f/9/fbjWtqddryXs/9xJFRPIqlW2ee5PGrUT2ZHkVw19iFXWK2Gdah9ZF1W+QXUfVX0/O0u5fztijh/RY859pJ+nDflIXo/fgVV/PO35pNvyc7Yw6ULnuXib55i8fhP2bN99z5li61Xh5yUiPeDTb8TU8b7QfWzTyN99rz8bYmPp+Gbz3LEa0+T1KdYPUCFhGoeRt62gvfzvG2bkZqFM4UatUBq1yX3+3mF9ucsmo1mZVL1wdepNnYCWVPfgfS9tgYavHn+DtRPeajqn1T12BJ+PgA2icjhAP7vkqpu1wOLVXWNquYA7wOdy3pOK/wVdjLwnqqmq+pO4MO9HB8HvCgiy4BJQNt9fL6XgHDHmuHAyyUdJCJXish8EZn/YfqafXyKfRdXrxatnrmBFX99zvtKXclGXXQn53YZSlx8HJ1O6gjAY7c8wRkXD+L5T58jsVoiOdk5lZqpxqDeJBxzNNv+9U7+vpyUzfxy5rWs6X8ZNc76EzGHFa9JcaXWMU2o1rQe6z+bv/eDK8n8Vz7nuZ43M23cm/S44SwnGb5/9Qv+2+NmJvUfTXrqdrrffaGTHKX5+MHXaXFCG2765GFadGvD9o1byCtSQ+9Sh0EnsuzTb9E8N32ivnv1C17vcTMTi5y/eh2bo7l5TOh6A691v5kOVw6gRuODVytXbWBfqrQ9mu0vF/S/W9f/IjYMvZ7UUQ9z2G1XE9vo8IP2/PlEqDL4Cva8+2Kxm2KatoK8PHaPvojdY4YT3+ds5LAGBz/TISBIo33xyiGX+H9fAnxQwjHzgFoiEr7o+wA/lPWg1uevfHIoKCgnROy/CdgEdPBvz9yXB1XVr/ym415AjKqW+HXaryZ+AWBWg3PKvJr2bNxKlSPq5G/HH34YezaWv0Yqploix752J2vHvUHawpXlvl9JzrxkEAMuGADAT0t+KlRbV/fwOmxO2VLaXcnek82cyV/Tvf+JLJi1kF9X/8rtF94BQKNmDenW9/j9ygaQs2kzcYcXZIptUIecTcUzJZ3YkeSrh/LrsNvym3oj5aZuJWvlWhK7HsuuybP3OUd6ylaSjij4Np90eDIZG7cVOiYjZRtJRySTsXErEhMivkYSWVtL/xZfp0tLkts3Z9A3TxGKiaFKnRr0eXs00855sNy5ul7cj05DewPw29I11IjIWKNBMmmbtpV21zJ99+HXnP7AcGB8uY4/5pI/0eZ8L8fvS9ZQLSJHtcOT2Z1SOMfulG1UjajtjjwmY/PO/P0//nc6p//nlgr9P0TqPqwfJ5zfB4Bfl6yhVkS+mg2S92nAxs7UbUy42utvF59UhXanHU9mBfvcnjisH8f7udYvWUPNIrl2VmAgSYdB3fng7n/v032OveRPtPXPX2qR81e1lPNXLeL8VS3l/P3w3+kM8M/fUWd1Z92MpeTl5JKxZScp81dQt31zdq77nfLKSd1MbIOI94P6dckt4f0gsVsnal1xPr8NvxUi3g9yU71jc9ankDl/KVXatCRn/cZi998XeTu2EFe74P08VLsOuiMiU5VEQoc3IWnEIwBIjdokXnUPGePHEtu1Fzk/LIC8XHTXDnLX/EBM46PI2ZKyX5lMpRsHvCUilwFrgSEAfle0q1X1clXNFZFbgakiIsACoPg3gghW81fYTOAsEUkUkerAIH//L0C48805EcfXBDaqah4wDIjZy+OnAUU7QrwC/JdSav32VdriVSQ0P5wqjeshcbHUPesktk6Zt/c7AhIXS9uXb2PTpC/zRwDvjw8mfMRV/a/hqv7X8NVnczj1nH4AtOncmt1pu9lapJk0ISkhvx9gKCbECX2PZ90qr2NzLb9WTUS4cMQFfPTqJ/udL3PZCuKaHEFcw/oQF0v1Aaewa1rh/+8qbVpQ/74b2XDtfeRu3ZG/P7Z+HaRKvJe1RjUSu7Ql6+f1VMTWxWuo3qwBVY+sSyguhsZndmP9lAWFjtkwZSHNzu0JwJEDj2fT7O/LfMxVr0zlg87X89EJf+WLs+4jbc3GfSr4gVdT9+KAO3lxwJ38NGU+7QefDEDDTi3JTMsosW9faZKbFvRRPqpPR7b+Uv4PoO8nfMHbp43m7dNG8/PkBRw92OvvWa9TC7LS0kkvkiM9dTvZuzKo16kFAEcP7sEv/usZ2b+s2Wld2fpTxc5ZpDmvfs6TA+7gyQF38P2U+XQ923udGndqSWZa+l770EVKql0d8fuP9rn2TOa9NaPCub5+9XOeHnAHT/u5uuxHLoC6LY4gsWZV1u7jl8LvJnzBW6eN5i3//LXyz1/9Ms5f1q4M6vvnr9XgHvy8l/O3a8MWGp7k9YONTaxC/U4t2b7qt33Kuee7n4hr0pDYhg0gNpaqp5/C7hlfFzomvnUL6twzgpQb7iFva0HuUI1qEOd11w7VqkFCx2PIWr12n56/JHlrVxCqewRyWH2IiSW2c09ylka8R2Wms3vU+eweM5zdY4aT+8tyMsaPJW/dSnRrKrGtOvjBqxBq2pq8Tb+W/ESmkDz0gP3sL1Xdoqp9VfUov3l4q79/vqpeHnHc56raXlXbqeqlqppV+qNazV8hqrpQRCYCS/Da1cOlpsfxSt5XApGljn8A74jIxcBnwN46mXwEvO134rzB7/f3OvAA8MYB+Z/IzWP1nS9x7Bt3ITEhNr0xjfSf1tPktvNIW7yarVPmU61jC9r++zZia1UluV9XGo88j4Wn3ESdM06kRrc2xNauRv3zegGwYsRz7C5hSoh99c20bzmhz/G8Ovs/ZGbu4bGbC0aBjZ/8PFf1v4bEpATu//d9xFeJQyTE4q8X89GrHwPQ56xenHmJNzp51v9m89nEyfudidw8Uu9/nkb/egBCMex4ZwpZq9Zx2A3DyPxuBbunf0PdkZcRSkrgiKfuBCBn4+9suPY+4lscSb3br0BVERG2/vtdslb8UqEYmpvH/NH/odd/b0diQqx580t2rthAu5GD2brkZzZMWcjqN2Zw4t+vYeBXfyNr+26+uuaZ/PsP+uYp4qolEoqPpVH/rkw/f1yhkcIHwqppi2nZuyPXzXyCHH+ql7ArPn2IFwd4r0/fO87n2DO7E5cYz4i5z7DozenMfOpdul5yKs17HEtudi6ZO3fz4c0Vm/5h3bTFNO7TgfNn/42cjCxm3FLQd/qczx7k7dNGAzBr9H/o/cSVxCTE8+v0JaybvgSAbncO5bBjmoAqaes3M3NUQS3WhXOeJK56IjFxsTTt35VPLhzHtpX7VoD4cfoiWvfuyKgvnyI7Yw8TRxa8Tjd9+jBPDvBqr/886gI6+a/TXV8/y7cTpzPlqXdo2a0Np982FBTWfPsj795zQL4Tsnz6Ilr17shtXz5FVsYeJkXkGvHpwzzt5zo9Itedfq4vnvK6OnQYdCJLPtq/iQrW+ufvQv/8TYs4f0M+e5C3/PM3c/R/6PPEld5UPRHn78Q7h1LHP38712/mS//8LZvwOX3+diVDvxgHIix/ayZblu9jQSc3j80PPUuDfz6ExIRIe28y2avXUvu6i9nz/QrSZ8wl+ZYrkKRE6v/NGykdntIlrllj6o4ZgeblIaEQ2/81sdAo4QrLyyPzredJuu4BkBDZc6eQl7KO+D9fRO66leQu+6bUu2bN/JiEi24iafTzgJA993Pyfvtl/zOVw8gx45i3aCnbt++k71kXce1lwxg8qH+lPPeBcCBH+waVRMP/ZEWJyL3ALlU9aOPVReQc4ExVHVae4/fW7OvCvbE7935QJftHtb1Vwla+hTv3vYP9wbZqv8aWHzx18yo+evpgWRVT6qwJzgTvKocmucFLdVqtgz+9SUXUPSV49S8J9z7rOkIxcXWaV+obQo2qzQ/Y5+zO3WuC92aG1fw5JSLPAKfjjSw2xhhjjGPlHaX7R2aFvzKo6r0H+fFvOJiPb4wxxph9o8Fa4eOgsAEfxhhjjDFRxGr+jDHGGGN81uxrjDHGGBNFomEgrBX+jDHGGGN81ufPGGOMMcYcUqzmzxhjjDHGZ82+xhhjjDFRJBoKf9bsa4wxxhgTRazmzxhjjDHGd+jX+9navlFNRK5U1Rf2fmTlsUzlY5nKL4i5LFP5WKbyC2KuIGYyHmv2jW5Xug5QAstUPpap/IKYyzKVj2UqvyDmCmImgxX+jDHGGGOiihX+jDHGGGOiiBX+olsQ+2JYpvKxTOUXxFyWqXwsU/kFMVcQMxlswIcxxhhjTFSxmj9jjDHGmChihT9jjDHGmChihT9jAk5EQiLS3XUOY4wxhwYr/EUREVkgIteJSG3XWcKClElElonI0tJ+XOVS1TzgOVfP/0ckIk1E5E/+34kiUt0ylZhpkIjY54A5IEQkxnUGUz72jz66nAccAcwTkTdFpL+IiGXKNxAYBHzm/1zo/3zq/7g0VUQGB+B8FSIij4pIDRGJE5GpIvK7iFzkONMVwNvAeH9XI+B9d4mCmcl3HrDSP4+tXQYp48vXMpdfvvxsgbnOg/w64V1Lj4lIW8c5zF7YaN8o5H/THwg8D+QCLwNPq+pWywQiskhVOxXZt1BVO1d2lojnTwOqAjlAJiCAqmoNV5n8XItVtaOI/B/e+bsZmKmqHVxmAo4HvgmfRxFZpqrtLFNxIlIDOB8Yjres6cvAG6qaVsk5moT/BD4BBkTerqprKzNPpCBd5xGvU4kcv07VgaF411II+DfwpqrudJXJlMxq/qKMiLQH/gY8BrwDnAvsBKZZpshIclLERncc/1tR1eqqGlLVeFWt4W87Lfj5Yv3ffwYmqeoOl2F8e1Q1K7whIrG4X6s9iJkA8D+Y3wbeBA4H/g9YKCI3VHKOtf54cwsOAAAbZklEQVTPL3iv19rIn8rMUoLAXOdFXpNMoJ3/k+H6dVLVNFV9UVW7A7cDY4CNIjJBRFq6zGYKi937IeZQISILgO3Av4BRqrrHv+mbyMJOtGcCLgP+LSI18WohtgF/cZQln98v8iggIbxPVWe6SwTAxyKyHMgArhGRungfSC59KSJ3Aoki0g+4FvjIMhUnImcClwItgVeA41U1VUSSgB+AZxzGC5LAXeciMgTvC/MMvPepZ0RkpKq+7TBTDF4BeTjQFO9L/evAyXhdZ452lc0UZs2+UUREmqvqmiL7mqnqz5apOL/wRxBqs0TkcmAEXl+xxUA34GtV7eM0GCAiycAOVc0VkapAdVVNcZgnhFeAPxXvQ3Ey8JI6fLMLYiY/1wTgXyV9iRCRvqo6tRKzRHareB2vv20+VV1YWVlKEsDrfAnQT1VT/e26wBeOu1ysAabjXVNzitz2d1W90U0yU5QV/qJISf3WRGSBqnaxTCAiF6nqayJyc0m3q+oTlZ0pTESWAccBc/2+R62Bh1T1bFeZ/FxJeP2fGqvqlSJyFNBKVT92mcuUj4g8oqq3721fJWWZXmRX+MMp3L/V2RedIF7nRfuM+l8wljju29pDVWcX2XeSqn7lKpMpmTX7RgG/oHAMUFNEIgsLNYhoQoz2THgDKgCcT8FRgkxVzRQRRKSKqi4XkVauQ+ENDlgAhOch3ABMAir9Q9EvIJf6bVZV21diHCCYmYroh9c3K9LpJew76FS1N3jT4OA1i/fAe+1m4Q0Ecykw13mEz0RkMvCGv30e7mcl+DtQdGDcMyXsM45Z4S86tMIboVYLbyqTsDTgCieJAphJVcf7v+9z8fx7sV5EauFND/K5iGwDXHeCB2ihqueJyPkAqpou4nSqHoDr/N+v+r8vwt3giiBmQkSuwStgtSgyPUh1wHUtzQS8AV9/97cvwOuPOMRZomBd5/gZRorIYCDcN/oFVX3PRRYRORGvYFy3SMtJDcDm/gsga/aNIiJyoqp+7TpHpIBmmgCMUNXt/nZt4G+q6nzQB4CInALUBD6LHEHqKMscoC/wlap2FpEWeNOEHO8wUxCn6glUJr8/a23gYWBUxE1pLqd8AhCRH1S17d72VXKmwF3nQeK/J/UCrgb+GXFTGvCRqq50kcuUzmr+ooCI3KaqjwIXhL+5RnLRCTeImSK0Dxf8/CzbRKRTWXc42PzO5mHL/N9B+OY2Bm9C7CNF5HW8WohLnSbyp+oJ9zMKwlQ9AcykqvqLiFxX9AYRSXZcAFwoIt1Uda6f5wRgvsM8APdS/Dof7jKQ313mEaAeXr9IZ3N/quqXeCPa/+N6uhlTPlb4iw4/+r9dv4FGCmKmsJCI1FbVbZBf8HL9b2UhcCTetDOC11yeIiKbgCtUdYGLUKr6uYgsxBt9LHg1pptdZIkQxKl6gpbpv3hN0gvwvkRENmEq0NxFKF8XYI6IrPO3GwM/hftPuugnqapT/GmpgnSdPwoMUtUf93rkQSYiT6nqX4FnRaTYl1JVPcNBLFMGa/Y1pggRuRi4E69DtwDnAA+q6qtl3vHgZnoReFtVJ/vbpwKDKVgJ5YRKzlNmc6XraTkgWFP1hAUxU9BIAFewEJGpqtp3b/sqOdNXqupqLtRCRKSLqi7wm3+L8WsGTYBY4S8KiMhHlD3isNK/lQUxUyQROQbo7W9OU9UfHOcpthSYiCxV1fbiLz1VyXnC03IkAF2BJXgF5fbAfFU9sTLz+JkCN1VPEDNFEm8i9cWqulu8tWo7A0+p6rq93DUqiEgCkIQ3d10vCmpIa+D1ua309ZAjZkc4BWiANwgsPDk+qvpuZWcyfzyum7JM5Xjc/3023pvFa/72+cAmJ4mCmSmfqn4vIr/jTzsjIo0dfyBuFJHb8ZbgAm9ah03izaifV9lhIqbleBforKrL/O1j8fpHuRDEqXqCmCnS80AHEekA3AK8hDciucQanCh0FfBX4Ai8JvJw4W8n8KyjTJGzI6TjTRwepkClF/7+AFMamSKs5i+KiMh8Ve26t32WSc7AW5boCCAVaAL8qKrHOMxUB29wRQ9/11fAfcAOvIlnVznK9X3R16Wkfa6JSLzrkdFFBSFTeMSxiNwDbFDVf7keGR1EInKDqtpSd6UIYlO9KZvV/EWXqhKxnJqINKOgZsIyFbgfr2P3F6raSUR6483L5ozfufyGUm52UvDzLRWRlyioub0QWFrG8QediMwALlXVX/zt4/BqtFwuexW4TL40EbkD7/ruKd4qEXGOMwWOqj7j12q3pfDa2q+4yiQijfAmUA73+5uFNxBlfWVnscLdH48V/qLLTcAM8dZfFLwaravcRgpkpmxV3SIiIREJqep0EXnKZSC/j11Jo+hcr+07HLgGb91hgJm4X43hYbzVD/4ONMRbscLptBwEMxN43QcuAC5T1RQRaQw85jhT4IjIGLw+f23xVtE4HZiNN/m0Ky/jjdo+19++yN/Xz1UgEemGVyBtA8TjTfC828X0M6Zs1uwbZUSkChDupLxcVfeUdXxlCFomEfkCOAvvA7sOXtPvcaravcw7HtxMkWsdJ+CN9M1R1dscRQo0EekFfA5sBjqpaorbRMHMZMrH79PWAVikqh1EpD7wmqq6LGgVG+jlYvBXkeefDwzFmymhK3AxcLSq3uEqkymZ1fxFARHpo6rTpPAauuAt7eRkdFgQM0U4E8jAq5W8EG81jbEO81DCPH5fici3TsIAIvKWqg4praO3yw7eInI33lJgPfFGH88QkVtU9RPLVCxXYCYKDrgMVc0TkRwRqYH3hfBIx5m2+CO0w2v7ng9scZgHAFVdJSIxqpoLvCwiiwAr/AWMFf6iwynANAqPEgtzMjqMYGbynlx1t/9nHt46o85J4RU+QngT4dZ0FAcKmnkHlnmUG4cBx6tqBvC1iHyG17/OZUEriJkgQBMFB9x88dbWfhFv1O8uwPWylH/Ba2J9Eu89cw7uuxKki0g8sFhEHgU24n51HVMCa/Y15g9ARH6mYCWGHOBnYKyqznaYKQZvUEzvvR5cyfxmueP8zW9VNdVlHghspsBMFPxHISJNgRqq6nRgUxD5o35T8QYN3YT3BfUfrmYjMKWzEnkUEZGH/G+v4e3aIvKAZQo+VW2mqs3930ep6qkuC35+plwgL7xqRVCIyLnAt3gd4YcA34jIOZapRPNFZKKInC8iZ4d/XIcKIhFpKN6azI2BWiLS03GeCSW8d/7bZSZVXauqGaq6U1XvU9WbreAXTFbzF0VEZJGqdiqyz+mcXgHNVBW/j4+/HQISVDXdYaZz8VYUSBORu/BWYnjA9TJqIvIB0AlvIEO4uRxVvdFhpiVAv3DNmojUxauhdDnVS+Ay+TleLmG3qqrrtZADRUQewRsZ/QOQ6+9WlysRlfLeWWxfJWcKt1AUoqou14o2JbA+f9ElRkSqhEfTikgiUMUyFTMV+BNevx7wlneaAjgb7QvcraqTRKQHXrbH8KZUqdQ1fUvwLg77Z5YiVKRJdQvuWzmCmAlVdd1H7I/iLKCV65kIigiJSG1V3Qb5/YJdf6ZHTs6fgFfTnVzKscYh1xeKqVyvA1Mjvu0Px/2AhiBmSlDVcMEPVd0lIkkuA1FQ2/Bn4AVV/SQIzeOqOsHv4H20v+snVc12mQlvPr3JFIyCPA9vbjaXgpgJETka70tEfVU9VkTaA2eoqvNrK2DW4PVjC1Lh7294g4cm4fUFPgd40GUgVS062vgpEVkA3OMijymdNftGGRE5Hejrb36uqpNd5oHgZRKRr4Abwk2q/hx7z6rqiQ4zfQxswJvAtTPeVDTfBqDZsBdeYf0XvA+gI4FLVHWmw1iIyGAiVj5Q1fdc5oHAZvoSGAmMDzcXish3qnqs22TBICLP4DVjNsSb528qEQVAl90bAESkLRCe6H2aqv7gOE9kd50QXk3gNa7fp0xxVvgzpgjxlt56E/gNr0DTADivhLn2KjNTEnAasExVV4rI4UA7VZ3iKpOfawFwgar+5G8fDbyhql3KvqcJAhGZp6rHRfYVcz1RcJCIyCVl3a6qld5KUWTap2JUdWtlZSlKCq9ElIP3pfBxVV3hKpMpmTX7RhEJ4NI7QcykqvNEpDXQyt/lvCnTH2zybsT2Rrw5tFyLCxf8AFR1hYg4WRtWRGarag8RSaNwp3NnExcHMVMRm0WkBX42fwRyEK6rQIgs3PndG1rjvVY/qWqWo1gLKJj2CQquK/H/djm44mOKZxso4m2q6hOOcpkirPAXXZ6lhKV3nCYKUKYyVh05OgCrjgTVfBF5CXjN374QmO8iiKr28H9Xd/H8JQlipiKuA14AWovIBrz5Iy90Gyl4RGQAMB5YjVewaSYiV6nq/yo7i6o2i8iVDByFN7giCLrgzWX5Ad7rNAhviqOVLkOZ4qzZN4qIyHxV7SoiS8PLbwVgaoDAZBKR+1R1jE1/UX7irct8HdDD3zULb1LXSu8YH8TmsCBmAhCRm4vsSsTro7UbrIamKBFZDgwMz1nn15Z+oqqty77nQc10Od5KO42AxUA3YI6q9i3zjgc300zgz6qa5m9Xx3udnM6JaIqzmr/oEsSldwKTyS/4hYD/qepbLjL80fiFvCf8H9cim8MaA9v8v2sB64Bmpd81qjIBhGsiW1G4pmYYXk2NKSytyGTFa4A0V2F8I/DO3VxV7e13VXnIcab6QGRzeJa/zwSMFf6iyzC8gtX1eEvvHAkMdpooYJnUW7z9NiAQhb8S+orl34TDPmMisoyScwEQrsWtTOHmMBF5EXhPVT/1t0/Hm6et0gUxk5/rPj/HTKBzRE3NvbhfbziI5ovIp3jvC4o3f928cBcRR11CMlU1U0Tw50pdLiKt9n63g+oV4FsRCY9kPwv4j7s4pjTW7GtMESIyDtgMTKTwqhXORtEFjXhreJZKVddWVpaiRGSZqrbb275oz+Rn+AloHzHJehVgqaq6LkQESildQcKcdAnxC1jDgb/iTfeyDW8A1oDKzlIkV2fgZH9zpqoucpnHlMwKf8YU4S9RVJQGYYkiEalHROduVV3nME4g+ZMpz6LwIJSeqtrfMhUmIqPx1hqOrKmZqKoPu0tl9pWInALUxFsC0tUoZPMHYoU/Y4oQkQRVzdzbvkrOdAbejP5HAKlAE+BHVT3GVSY/19nAI0A9vKZo51OY+IMsxgA98ZroZgJjHc9/FrhMYVZTU7qISZ5L5HqSZ2Mqygp/JhBEJMmfy845EVmoqp33tq+SMy3Ba9r5QlU7iUhv4CJVvcxVJj/XKmCQqv7oMocxB0MQJ3k25kCwAR9RQEQ+ouxvr2dUYpxCRKQ78BJQDWgsIh2Aq1T1WgdZGuAt45QoIp0omKi0BuB6bd9sVd0iIiERCanqdBF5ynEmgE1W8DOHKivcmUOVFf6iw+P+77PxlioL9zs6H9jkJFGBJ4H+wIcAqrpERFzNCdUfuBRv3qzIqUvSgDtdBIqwXUSq4TUXvi4iqUQMRqlsERNhzxeRicD7FF7z1CbENoeMIsuW5VPVPiUcbkzgWbNvFAlPqLy3fZWc6RtVPaHI2qJLXC4ELiKDVfUdV89fEhGpCmTi1UZeiNe5+3VV3eIoT3j0Y+RSTmHOJsQWkRjgRlV90sXzlySImcy+EZHItaoT8KajylHV2xxFMma/WM1fdKkqIs1VdQ2AiDQDqjrO9Kvf9Kv+mrAjACfNiCJykaq+BjQtYQUEp6seqGpkLZ/zpihVHQ4gIhOAEaq63d+ujTcwxVWuXBE5H69GORCCmMnsG1VdUGTXVyJik2GbPywr/EWXm4AZIrIGr7amCXCV20hcDTyN19duAzAFb7kwF8IF4WqOnr9URSZ7jgfigN0uR9X62ocLfgCqus3vL+nSVyLyLMXnaVzoLlIgM5lyKrJMXwhvHfKajuIYs9+s2TfK+JO4htejXO5iDVazf0REgDOBbqo6ynGWJUAvVd3mbycDXzqeUHl6CbvVZf+sIGYy5efP/Rnu4pAN/II3Vc9sl7mMqSgr/EUREUkCbgaaqOoVInIU0EpVP3aQJbDzZ5XWlOmqH1tpIvtJOsxwMd5gmEn+rnOBB1X1VXepjDmwRGQI3gTKO0XkbqAzcL/V3Jo/Kmv2jS4v4y00f6K/vQHvQ7vSC3/AfAfPWV6Ba8qMGF0LBc1OziadDlPVV0RkPt4chABnq+oPLjOJyD0l7VfVsZWdJSyImcw+uUtV3xKRHnjX+uPA88AJbmMZUzFW+IsuLVT1PL/zOaqa7jchVrqAz58VEpHaRZoyXf9bGRTxdw5es9OZbqIU5hf2nBb4iogcHJMADMTRIKIIQcxkyi/X//1n4EVV/UREHnAZyJj94foDzVSuLBFJxG9uFZEWRMzNVplE5ClV/WtpE1C7nHgab7Tq1yJSqCnTYZ780bVm71S10GhjEXkcmOwoDhDMTGafbBCR8UA/4BG/73TIcSZjKsz6/EURETkVGA20xRtVexIwXFVL6ox+sLN0UdUF/oLkxajql5WdKZKItKWgKXOaq6bMIPeN/KPw+2zOU9WWrrOEBTGTKZ3fX/o0YJmqrhSRw4F2qjrFcTRjKsRq/qKIqk4RkQVAN7xRayNUdbOjLOF5szqq6tORt4nICMBp4S9ATZnhvpEn4RXaJ/rb5xKMfIEjIssoKDDHAHUBp33rgpjJlJ+/7vi7EdsbgY3uEhmzf6zmL4qIyKvA9aq6w99uAvxbVfs6zLRQVTsX2ed8FGvQiMhcoIeq5vjbccAsVe3mNllwiEgzVf3Zv67DcvDWH86xTMYY47Gav+gyG/jGX72iITASuMVFEH/QyQVAMxH5MOKm6sBWF5kCrjZQg4LXppq/zxR4G+iC4y80RQQxkzEmylnhL4qo6ngR+R6YDmwGOqlqiqM4c/CaTepQeDmwNGCpk0TBNg5Y5E8WLEBP4F6niYInJCJ3AkcHaHm+IGYyxkQ5K/xFEREZBtwNXAy0Bz4VkeGquqSys6jqWmAtBXMOmjKo6ssi8j8K5hW73WHBPaiGAmfhva9Vd5wlLIiZjDFRzvr8RREReR+4UlVT/e3jgRdUtaPDTN2AZ4A2eGvWxhCMNWsDQURaq+pyEelc0u22wkBxInK6qv7PdY5IQcxkjIleVviLciISr6pZDp9/Pl7tyCS8VSsuBo5W1TtcZQoSEXlBVa+0tWH3rqRm1UgumliDmMkYY6zZNwqIyG2q+mgZc8Y5nStOVVeJSIyq5gIvi8giwAp/gKpe6f/u7TrLH0AQm1WDmMkYE+Ws8BcdwvPBBXE93XQRiQcWi8ijeINAbOb8IkTkXLyF5dNE5C4KFpZf5DhaYKjqfa4zFBXETMYYY4W/6HAe8DFQq+iEygEwDK+f3/XATcCRwGCniYLpblWd5C8s/yfgMeCf2MLyxYjIy5S8ZOBfHMQBgpnJGBO9rPAXHbqIyBHAX0TkFbypQvKpqrN59fxRvwAZgNWSlC5yYfkXbGH5Mn0c8XcC8H/Ab46yhAUxkzEmStmAjyggIjcC1wDNgQ0ULvypqjZ3kClyuatiVLV9JcYJPBH5GO/c9cNr8s0AvlXVDk6D/QGISAiYrardXWcJC2ImY0z0sMJfFBGR51X1Gtc5IH9puVJF1AgabGH5/SEirYBPVLWl6yxhQcxkjIke1uwbRYJS8IPChTsRqQ8c529+G56H0BRQ1XQRSQV6ACvx1odd6TZVMIlIGoVrlVOA2x3FAYKZyRgTvazmzzglIkPwBi/MwGuOPhkYqapvu8wVNCIyBm8exFaqerTfh3OSqp7kOJoxxpg/GJtSw7g2GjhOVS9R1YuB4/GWoDOF/R9wBrAbQFV/w+aQK5GInCQiVf2/LxKRJ/bWzSAaMxljopcV/oxroSLNvFuw67IkWepV0ytAuCBhSvQ83vyRHYBbgNXAK24jBTKTMSZK2Yesce0zEZksIpeKyKXAJ8CnjjMF0VsiMh6oJSJXAF8ALzrOFFQ5fkH5TOBZVX0O97WkQcxkjIlS1ufPOCciZ+MNZACYparvucwTNCIiQCOgNXAqXt/Iyar6udNgASUiXwKfAcOBnkAqsERV21kmY4yxwp9xzF/4fqKqbnCdJchEZJkVFMpHRBoAFwDzVHWWiDQGeqmqs2bWIGYyxkQvK/wZp/xRrEOArcBEvBGsm9ymCh4RmYDXXDjPdRZjjDF/bFb4M4EgIu3x1iAeDKxX1T85jhQoIrIcaAmsxRvxK3irs9hKKMYYY/aJTfJsgiIVb+LbLUA9x1mCqL/rAMYYYw4NVvNnnBKRa/GafesCk4C3VPUHt6nMH52IJAKNVfUn11mMMSZorObPuHYk8FdVXew6iDk0iMgg4HEgHmgmIh2Bsap6hoMsyyi8rFv+TVizvTHGEav5M8YcUkRkAdAHmKGqnfx9TkZL720Vj8g1ro0xprJYzZ8x5lCTrao7vOkR8zn5lmuFO2NMENkKH8aYQ833InIBECMiR4nIM8Acl4FEpJuIzBORXSKSJSK5IrLTZSZjTPSywp8x5lBzA3AMsAf4L7AD+KvTRPAscD6wEkgELgeec5rIGBO1rM+fMeaQJCJJqpruOgeAiMxX1a4isjQ8yENEFoX7JBpjTGWymj9jzCFFRLqLyA/Acn+7g4j8w3GsdBGJBxaLyKMichP2/muMccTefIwxh5on8SbF3gKgqkuAnk4TwTC899vr8VZoORI422kiY0zUssKfMeaQo6q/FtmV6yRIgbNUNVNVd6rqfap6MzDQcSZjTJSywp8x5lDzq4h0B1RE4kTkVuBHx5kuKWHfpZUdwhhjwOb5M8Yceq4GngYaAhuAKcB1LoKIyPnABXgrjXwYcVMNYKuLTMYYY4U/Y8whQ0RigKdV9ULXWXxzgI1AHeBvEfvTgKVOEhljop5N9WKMOaSIyGygj6pmuc4SSUTqA8f5m9+qaqrLPMaY6GWFP2PMIUVEXgHaAB/ijawFQFWfcJjpXOBxYAYgwMnASFV921UmY0z0smZfY8yhZrX/EwKqO84SdhdwXLi2T0TqAl8AVvgzxlQ6K/wZYw4JIvKqqg4Dtqvq067zFBEq0sy7BZttwRjjiBX+jDGHii4icgTwF7/pVyJvVFWXo2s/E5HJwBv+9nnA/xzmMcZEMevzZ4w5JIjIjcA1QHO8KV4iC3+qqs2dBPOJyNlAD39zlqq+5zKPMSZ6WeHPGHNIEZHnVfUa1zkiicgjqnr73vYZY0xlsMKfMcYcZCKyUFU7F9m3VFXbu8pkjIle1ufPGGMOEhG5BrgWaC4ikZM6Vwe+cpPKGBPtrObPGGMOEhGpCdQGHgZGRdyU5ngAijEmilnhzxhjjDEmitg8U8YYY4wxUcQKf8YYY4wxUcQKf8YYY4wxUcQKf8YYY4wxUeT/AbCQ2J7S9ki2AAAAAElFTkSuQmCC\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "wine_df = wine_df.drop('quality', axis=1)\n",
        "wine_df.columns"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "E9Q2JeCflJfi",
        "outputId": "bb9308f3-d9cf-4c8b-b05e-5f6f8fec6b50"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Index(['fixed acidity', 'volatile acidity', 'citric acid', 'residual sugar',\n",
              "       'chlorides', 'free sulfur dioxide', 'total sulfur dioxide', 'density',\n",
              "       'pH', 'sulphates', 'alcohol'],\n",
              "      dtype='object')"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "wss=[]\n",
        "for i in range(1,10):\n",
        "    kmeans = KMeans(n_clusters=i, init='k-means++', random_state=42)\n",
        "    kmeans.fit(wine_df)\n",
        "    wss.append(kmeans.inertia_)\n",
        "    \n",
        "plt.plot(range(1,10), wss)\n",
        "plt.title('The Elbow method')\n",
        "plt.xlabel('Number of clusters')\n",
        "plt.ylabel('Sum of squared distances')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 295
        },
        "id": "u7bYtVpElN9d",
        "outputId": "582d9efb-2685-4bc4-847a-55df5fc3ff78"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "pip install yellowbrick\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TIUiRcB0lQNa",
        "outputId": "724daa0e-1707-42fc-914f-81ebae7c64ee"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n",
            "Requirement already satisfied: yellowbrick in /usr/local/lib/python3.7/dist-packages (1.5)\n",
            "Requirement already satisfied: cycler>=0.10.0 in /usr/local/lib/python3.7/dist-packages (from yellowbrick) (0.11.0)\n",
            "Requirement already satisfied: scipy>=1.0.0 in /usr/local/lib/python3.7/dist-packages (from yellowbrick) (1.7.3)\n",
            "Requirement already satisfied: numpy>=1.16.0 in /usr/local/lib/python3.7/dist-packages (from yellowbrick) (1.21.6)\n",
            "Requirement already satisfied: matplotlib!=3.0.0,>=2.0.2 in /usr/local/lib/python3.7/dist-packages (from yellowbrick) (3.2.2)\n",
            "Requirement already satisfied: scikit-learn>=1.0.0 in /usr/local/lib/python3.7/dist-packages (from yellowbrick) (1.0.2)\n",
            "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (2.8.2)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (3.0.9)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib!=3.0.0,>=2.0.2->yellowbrick) (1.4.4)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from kiwisolver>=1.0.1->matplotlib!=3.0.0,>=2.0.2->yellowbrick) (4.1.1)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib!=3.0.0,>=2.0.2->yellowbrick) (1.15.0)\n",
            "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from scikit-learn>=1.0.0->yellowbrick) (3.1.0)\n",
            "Requirement already satisfied: joblib>=0.11 in /usr/local/lib/python3.7/dist-packages (from scikit-learn>=1.0.0->yellowbrick) (1.2.0)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from yellowbrick.cluster import KElbowVisualizer\n",
        "model = KMeans()\n",
        "visualizer = KElbowVisualizer(model, k=(1,10), timings = False)\n",
        "visualizer.fit(wine_df)\n",
        "visualizer.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 393
        },
        "id": "x5BtS-t4lUMV",
        "outputId": "2ae05b16-8be6-4db3-8093-6d59fec8830d"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fe9c33f30d0>"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "for i in range(2,10):\n",
        "    kmeans = KMeans(n_clusters=i, max_iter=100)\n",
        "    kmeans.fit(wine_df)\n",
        "    score = silhouette_score(wine_df, kmeans.labels_)\n",
        "    print(\"For cluster: {}, the silhouette score is: {}\".format(i,score))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sjk2jtkOlXgT",
        "outputId": "1708e5ab-37a5-4649-bb5d-bb41acb81cfe"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "For cluster: 2, the silhouette score is: 0.6034220347331241\n",
            "For cluster: 3, the silhouette score is: 0.5197446557038226\n",
            "For cluster: 4, the silhouette score is: 0.48971967046233833\n",
            "For cluster: 5, the silhouette score is: 0.4468217458574255\n",
            "For cluster: 6, the silhouette score is: 0.44103374541793544\n",
            "For cluster: 7, the silhouette score is: 0.39409022349196204\n",
            "For cluster: 8, the silhouette score is: 0.3910385759629979\n",
            "For cluster: 9, the silhouette score is: 0.386906080815162\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "silhouette_coefficients = []\n",
        "for i in range(2,10):\n",
        "    kmeans = KMeans(n_clusters=i, max_iter=100)\n",
        "    kmeans.fit(wine_df)\n",
        "    score = silhouette_score(wine_df, kmeans.labels_)\n",
        "    silhouette_coefficients.append(score)\n",
        "    \n",
        "plt.plot(range(2,10), silhouette_coefficients)\n",
        "plt.xticks(range(2,10))\n",
        "plt.xlabel(\"number of clusters\")\n",
        "plt.ylabel(\"Silhouette coefficient\")\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 361
        },
        "id": "redOP_IflXjy",
        "outputId": "98aa3379-89a2-4261-d0f3-1182b0dbc024"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "pca = PCA()\n",
        "X = pca.fit_transform(wine_df)\n"
      ],
      "metadata": {
        "id": "fRICke2tldOE"
      },
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "kmeans = KMeans(n_clusters=4)\n",
        "label = kmeans.fit_predict(X)\n",
        "unique_labels = np.unique(label)\n"
      ],
      "metadata": {
        "id": "fKyCmAdSlebo"
      },
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "for i in unique_labels:\n",
        "    plt.scatter(X[label==i,0], X[label==i,1], label=i, s=20)\n",
        "    \n",
        "plt.legend()\n",
        "plt.title('wine groups')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 362
        },
        "id": "Gmw-FJ4KlhvT",
        "outputId": "bea449d2-4006-41c5-8818-9c2c65d11916"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 576x396 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}