Week_7.ipynb

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      "metadata": {
        "id": "view-in-github",
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      "source": [
        "<a href=\"https://colab.research.google.com/github/Sinrez/PythonProjects/blob/main/Week_7.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kxRRMEdlz_38"
      },
      "source": [
        "В этом блокноте мы научимся выполнять сглаживание и строить тренд временного ряда.\n",
        "\n",
        "Для начала загрузим [данные](https://studio.openedu.ru/assets/courseware/v1/f9a98baa4e51f14b5448a7fdca8b125e/asset-v1:ITMOUniversity+DATANTECH2035+fall_2021+type@asset+block/task5_983784.csv) уже привычным нам образом"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KpCncTANViqc"
      },
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "\n",
        "data_series = pd.read_csv('https://courses.openedu.ru/assets/courseware/v1/3485634dc5fd4834c786b5a3cd5a9a03/asset-v1:ITMOUniversity+DATANTECH2035+fall_2022_2+type@asset+block/task5_447502.csv')"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
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          "height": 424
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        "id": "BdMnClDxzeW-",
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      },
      "source": [
        "data_series"
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      "execution_count": 2,
      "outputs": [
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              "      y\n",
              "0    24\n",
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              "4    35\n",
              "..  ...\n",
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              "          const element = document.querySelector('#df-1398b336-9380-452e-810f-8601893438c3');\n",
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              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
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          "metadata": {},
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      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qkRArEjF2amX"
      },
      "source": [
        "В задании нумерация начинается с $1$, а у нас — с $0$. Исправим это, выполнив сдвиг индексов"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A-c-UWzf2YrM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 419
        },
        "outputId": "86167e0b-1ce7-47e4-d5ce-8f6ae09a4adf"
      },
      "source": [
        "data_series.index += 1\n",
        "data_series"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th>100</th>\n",
              "      <td>163</td>\n",
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              "<p>100 rows × 1 columns</p>\n",
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              "       y\n",
              "1     17\n",
              "2     25\n",
              "3     16\n",
              "4     17\n",
              "5      7\n",
              "..   ...\n",
              "96   131\n",
              "97   132\n",
              "98   163\n",
              "99   143\n",
              "100  163\n",
              "\n",
              "[100 rows x 1 columns]"
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          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Bq3VSiKP6KaJ"
      },
      "source": [
        "Напишем функцию самостоятельно:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qLWD9SBxcVVO"
      },
      "source": [
        "def exponential_smoothing(series, alpha):\n",
        "    result = [series[0]]\n",
        "    for index in range(1, len(series)):\n",
        "        result.append(alpha * series[index] + (1 - alpha) * result[index - 1])\n",
        "    return result"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GcMNXbxqDfsD"
      },
      "source": [
        "Проведем сглаживание и запишем результат в столбец <code>y_exp_norm_user</code>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TRHtJmBQcbIo"
      },
      "source": [
        "data_series['y_exp_norm_user'] = exponential_smoothing(data_series['y'].to_list(), 0.2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 419
        },
        "id": "gQY2EEAb3nh7",
        "outputId": "1ef62544-d5f6-4edc-dbc8-f0c05fe4613c"
      },
      "source": [
        "data_series"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <td>17</td>\n",
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              "      <th>5</th>\n",
              "      <td>7</td>\n",
              "      <td>15.691200</td>\n",
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              "    <tr>\n",
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              "      <td>132</td>\n",
              "      <td>132.124665</td>\n",
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              "      <td>163</td>\n",
              "      <td>143.991828</td>\n",
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            ],
            "text/plain": [
              "       y  y_exp_norm_user\n",
              "1     17        17.000000\n",
              "2     25        18.600000\n",
              "3     16        18.080000\n",
              "4     17        17.864000\n",
              "5      7        15.691200\n",
              "..   ...              ...\n",
              "96   131       132.155831\n",
              "97   132       132.124665\n",
              "98   163       138.299732\n",
              "99   143       139.239785\n",
              "100  163       143.991828\n",
              "\n",
              "[100 rows x 2 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "C_FTo1zVCita"
      },
      "source": [
        "Построим графики исходного и сглаженного рядов"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Hm_DPGXBZCfT"
      },
      "source": [
        "import matplotlib.pyplot as plt"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497
        },
        "id": "FWiphodLCiSs",
        "outputId": "4eff3416-dfc6-49df-b8d2-27078012580f"
      },
      "source": [
        "plt.figure(figsize=(20, 8))\n",
        "plt.plot('y', data = data_series)\n",
        "plt.plot('y_exp_norm_user', data = data_series)\n",
        "plt.xlabel('Time step')\n",
        "plt.ylabel('y')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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rq6u9U5yIiIiIiIhMKHsL66hqamfdvPg+n1k3bzKVje3sLVR721jTsyMp0Rs7kt68H45thXW/humrhr7eGHdm7Dp8pgPJwAHDPYwqAdhvGMYSoBRIPOnZhO5rZzBN8xHgEYBFixYpFhYREREREZEB25hZhr+PhdUzY/p85rJZsfjZLGzKLGNJcuQIVidDVWR3EBbgQ1iAT/8Pn66zDcr2Q9FOOL4D8t6G5V+DRbd6v9AxaMSCJNM0s4AT/4UahnEcWGSaZo1hGK8CXzMM41lgKdBgmqYaUUVERERERMTrulwmm7MqWDUzhqBe2tp6BPnZWDUzhs3ZFTxw9Wyslol3QtdYVWxv9XzQdkstFO+Cou6v8o+hq8N9LzodVtwLq340fMWOMcMWJBmG8QxwCRBtGEYJ8GPTNB/v4/HNwFXAMcAB/Ntw1SUiIiIiIiIT254COzXN7ayb23dbW4918ybzenYFHx63sywlagSqE28otjuYOTmk7weKdsNHf4Pi3VBz1H3N6gvx58GyuyFxGSQuhSD9mZ9u2IIk0zRv6Od+0knfm8BXh6sWERERERERGV0vfVRCh9PFdYunjnYpbMoqI8DHyqUz+z95a9XMGAJ8rGzMLFOQNEa4XCYlda2s6eU0PgDqi+Gpz4LFClOXw4IN7uAo/jzw8R/ZYsegkZyRJCIiIiIiIhPUH97No9juYE1GHJFBvqNWh7PLxetZFayaFUOgb/9/JQ70tbFqVgxvZFfwk6tnY7OO6OHnMghVTe10dLlI6G3QtmnCa99w/3rXNoiYNvIFjnH6L0BERERERESGVbuzi4KaFtqdLp7aVTiqtewusFPb0sHV8yZ7/Jn1cydT09zBngL7MFYm3lJkd5/YNrW3IOnjv7uHZ1/2E4VIg6QgSURERERERIbVsapmulwmwX42ntx5nLbOrlGrZWNmOYG+Vi6Z0fdpbae7ZEYMgb5WNmbpTKixoLg7SEqMOG3YdlMFvPl9dzvb4ttHobLxQUGSiIiIiIiIDKsjFU0AfGdtOjXNHbzycemo1OHscvFGdjmXzYrF38fq8ecCfK1cNiuWN7IrcHa5hrFC8YYiuwPDgCknB0mmCRu/Bc52+NTvwaI4ZLD0OyciIiIiIiLD6khFE75WCzcum8bMuBAe21aA+8ylkfVBXi11jk7WDaCtrce6eZOxt3SwM792GCrrX0NrJ28fquTB1w/xRrb3dkY1tnXyn5sPsa9w/LTtFdc5iAv1x892UliY8yIc2QSX3g/RqaNX3DigYdsiIiIiIiIyrA5XNJEaE4yP1cIdK1P49j8O8K+j1Vw6gPYyb9iUWU6wn42L0/s/re10F6dPItjPxqbMclamDfzzA1XvcM9k2l1gZ3dBLQfLGnF1Z2+xoX6szYjDYjGG/J6XPyrlkffzeeT9fFakRnPP6jSWJEcOed3RVGJvJTHipPlILTWw+T6IPx+W6cD4oVKQJCIiIiIiIsPqSEUTF0yPAuDq+fH88s3DPLYtf0SDpM4uF2/kVLAmY2BtbT38faysyYjljZwKfvbpOfh4+fS2BkcnO/Nr2V1Qy658O4crGjFN8LVZOC8xnK+tSmNZSiTHaxzc/1IWmaUNLEgMH/J7t+RUkhwdxIYlU/nT+3lc+6edLE+J4p7VaSzv/jMbqHZnFz4Wi1eCrsEosju4MDX6kwuv/zu0NcA1fwCrYpCh0u+giIiIiIiIDJsGRycVjW3MiAsB3MHIFy9I4pdvHCGnrIHZ8WEjUseOYzU0tHaybu7A29p6rJs7mZc+KmXHsZoBDevuT0mdg/X/t516Ryf+PhbOnxrBvZelszQ5kvmJ4acEXxmTO/jRK9lsPVgx5CCpobWTXfm13L4yhTsuSuGmZdP4+54iHn4vjxse3cWS5Ei+2R0oGUbfoZCjw8m+wjp257t3T31cXM+U8AB+v+F85kwZmT/fHm2dXVQ2tZEY2T0f6fBmyP4nXHI/xGaMaC3jlYIkERERERERGTaHKxoBTgRJADcumcbv3znG49sK+J/rFoxIHRszywnxt7EyPbr/h/uwMj2akO72Nm8FSaZp8u8vZNLpdPH325eyKCkSX1vfu53CA31ZkhTJlpxKvnv5zCG9+19HqnC6TNZkxALuoeK3rUjmxqVTeXZPEQ+9l8eGx3azOCmCe1ansSI1GsMwaGl3srewjl35tezOryWzpAGny8RqMZgzJYxbliexKbOcz/7xA+6/aiZfvCDprEGUN5XWt2KaMDUyEFrrYeO9EDsHVtw7Iu+fCBQkiYiIiIiIyCma2508ufM4/3ZBMgG+A28DO9mRSveJbTPjQk9cCwv04dpFiTy1q5D7rphJXJj/kN7Rnw6nizdzKlibEXfqAOYB8rNZWTM7ljdzKvjFZ+aeNfDx1FO7i9hxrJZffGYOF6R6FnKtnR3LT187SEFNC8nRQYN+95acSqKD/TjvtJ1N/j5WvnRhMtcvmcrze4t56F953Pz4HuZ3P5dd2kCXy8RmMZibEMYdF6WwNDmSRUmRBPu5Y4avXprKd/5xgJ+8dpCd+bX88nPzCQv0GXStniq2OwBIjAyELT+AlmrY8CzYfIf93ROFTm0TERERERGRU/zstYP88o0jbDlYMeS1Dlc0ERbgQ2yo3ynXb70wGZdp8pcPjg/5Hf3ZfqyapjYn6wdxWtvprp4XT2Obk+3Hqoe8VlGtgwc3H2JlWjQblkz1+HM9O4i2DuHPp93Zxb+OVLEmI7bPWUb+PlZuWZ7Ev757Cb/4zBwc7U58LAZfvjiFv922hAM/XstLX7mQf79iJpfMiDkRIgFEBvny2C2L+MFVs3j7UBVX/W4b+4vqBl2vp4rrWgGY3rgHPnoKLrwH4s8b9vdOJAqSRERERERE5IR3D1fx3N5iAA4UNwx5vSMVTcyICzmjtWlqVCBXzInj77sLaWl3Dvk9Z7Mxs5xQf9upA5gH6cLUaEL9bWzMLB/SOi6XyXf/eQCrYfD/PjdvQK1fCRGBZEwOZUtO5aDf/0FeLS0dXaztDqXOxs9m5cal09j6rYv5590X8N3LZ7IybRJBfmdvcrJYDO64KIV/fHk5hgHXPryTR97Pw9Vz/NwwKLY7iLC1E/H2dyAqDS7+3rC9a6JSkCQiIiIiIiKAezD2917MJD02mPkJYXxcPLQdJKZpcrSiiZknzUc62e0rU2hsc/J8d3A1HFranWzNqeTy2XFeaUXztVm4fHYcb2ZXcKi8cdDr/HXncXYX2PnR1RnEhwcM+PNrZ8eyr6iO6qb2Qb1/S04lQb7WQZ/MNhDnTY1g0z0ruWxWLP+5+TC3/fVD7C0dw/KuYruDHwf8A6OhxH1Km8/wtk1ORJqRJCIiIiIiIgD89LUcapo7eOyWxbzycSlP7iqks8s16KPuS+tbaWp3njJo+2TnT41g4bQInthRwC3Lk7AOw3Hx/9hbTFO7k+sH0DrWn3tWp7H9WA0bHt3FU7cvHfDJc/nVzfy/Nw6zamYMX1iYMKga1mTE8r9v5fLO4UquWzywn83lMnnrUCWXzIg55US4ATNNaK6C2lyoPQY13b/WHoP2JrD5gdUPbH6EWX15yOZHRbyLIwUdHPi1L3OnTSI6IhwCIrq/Ij/5PvCk730CwcMdWyGVe/h052ZYejdMXTr4n036pCBJRERERERE2JJTwYsflXLPqlTmJoRRaG/hse0FHC5vYm7C4I5wP1LRM2i79yAJ4I6VyXz5qf28mVPBVXOHPsPoZF0ukyd2HOf8qeEsnBbhtXUTIwN59s5l3PDILm58bDdP3bbU42Puu1wm3/nHAfxsVh787FzPWtq6nFBxAAo/gKJdEBBOxtIvMyU8gC05Aw+SPi6pp7qp/cSspbMyTWipgfpCqDsO9vzuwCgXavOg/aRdWVY/iJoOMRkQEA7ODuhqP/Gr4WxnclAH4RYn5XY7TfmF+Pl1EeRqxNJ1lp1VVj/wDwOLDQxL95dx0vcWTMNCm9Pkh42l2P3iiVz9owH9nojnFCSJiIiIiIhMcHUtHdz/UjazJofytVVpAMxPcJ/Q9XFJ/aCDpMPdQVJ6bN9B0pqMOKZFBfLotnyvB0lbcioosjv4/pUzvbouwLSoIJ69czk3PLqLDY/u4unbl3n0+/T49nz2F9Xzv9ctIDa0j7arzlYo3QeFO6FwBxTvgc4W972IJGiuxvjoKZ4MWcwv8i6jpW0BQf6en4i2JacSm8Xg0hkx7gutde6QqL4I6grdv9b3/FoEnY5TFwhNgOhUmHcdRKW6v49Kg7AEsPS/wykAiGl38sDL2bz4USkAkb5drEywcUG8wYJok+nBndja69y1tdZBaz2YXe5gyzTpcnVR39JGbVMb9uY26lraMU0XLiIJvuA7XOI7+NPs5OwUJImIiIiIiExwD7yaQ0NrB0/euuTEHKGEiACig335uKiem5dNG9S6RyqamBIeQMhZQg6rxeDWC5P58as57Cu0s3Ba5KDe1ZtHt+UzNTKQtbPjvLbmyaZGde9MenQXGx7bxVO3LWV+Ynifz+dWNvHrLUdZmxHLNQviP7nR1uAOiwo/cH+V7YeuDsCA2NmwYANMuwCmLofQyeCww74/k/jBwzxhfZCmh16AS74Jcz/vbifrxzs5JXxpSilhO34Ox96GyqxTH/ALhfBp7pBo+moInwoR07p/TQbfwEH+jn0i2M/G/1y3gO9fNYs9BXZ25deyu6CWV7Y3AxDg48eipFksTY5kaVoUM+NCOFjWyK58O7sLatlfVEdbpwtw73hbNiuKpcmRLE+OJCq4/98DGTzDNIdvWvpwW7Rokbl3797RLkNERERERGTM2pxVzlee3s+316Tz9dVpp9y77S8fUmh38Na3Lh7U2pf/5n0SIgJ4/EuLz/qco8PJ8gffYXlKFA/fvHBQ7zrdvsI6PvfQB/zk6gy+dGGyV9bsS0mdgxse3UV9SydP3raE86ae2Ubn7HLxuYc+oMjuYOuds4iu3dfdqvYBVOaA6XK3bsWf5w6Mpl3onvET0HdLnrO9lZ88+DO+4vc68e35EBwLS+6ERbe6ZwydrL4Yjr1Fc84bmPnvEWK0ut+XuAymXwLRMz4Ji87yzuFW29zOngI7u7vDpZ5dbT0MA2bFhbI0JZJlKVEsSYokIsh3lKodvwzD2Gea5qLe7mlHkoiIiIiIyARV09zOD1/OZu6UMO6+ZPoZ9xckhvPOkSoa2zoJHUDrFECH00VedTOrZ8X0+2ygr40bl07loffyKKxtYVrU0NuSHtuWT6i/jS8sShzyWgC0N38yULrmKLRUgX84BEaSEBDJK6uCeGBrGT95vJj/uH4l89OSwebrbsWqK+C9N19mQ8V7rAsvIPjhQveaPoGQsAguug+mLYeExTCAliybXwCOjGu58uDF7N9gxbr7D/DOz2Dbf8N5N0HKpe7WuNytUHMEANMvjte6lnPFp28mcs5l4B/qnd8fL4kK9uPKuZO5srvNsa6lgz3H7RypaGLW5FCWJEUSFjiwfxfFuxQkiYiIiIiIjHGHyhupa+lg+fQoz4Y3A6Zp8sOXsmluc/Lf187H1svJbPMTwzFNyCpp4MLU6AHVlF/TjNNl9nli2+m+eEESj27L54ntBfz0mjkDetfpimodvJlTwV0XTyfIbwB/7TVNaKpwB0U1Rz8JjWpyobHkk+cMi/uEsbYGcHUCEAn8HsAAnut+zjcYrD7QWsdqoNk3lOApK2Dq7e5Wtcnz3feHYG1GLC/uL2W3dSEX3PwSVGTDzj/A3j/DnkfA6uve3XT+LZC2hi8+X01nMGxYtGJI7x0pEUG+XD47jsuHqT1RBk5BkoiIiIiIyBjW1NbJzY/voaa5nfkJYdyzOo1VM2P6DZRePVDGGzkVfO/KmX0Owz4xcLu4fsBB0icntnm24yU21J9PzZ/C83tLuHdNOuGBg29XemJHAVaLwZcuSPL8Q6118MwNULTzk2u+wRCdBkkXQnT6J1+Rye5ZRKYJHS3Qand/3mGnvraKv7y9H6PVznWpIUzyd/LQ4SDeb0/j4Xs3QHAfA7YH6aL0SfjZLGzJqeSC6dEQNwc+8xCsfsAdgiUsOrHLqaqpjY9KjnHvZelerUEmFgVJIiIiIiIiY9jv3z1GTXM796xO48X9Jdz214xMufYAACAASURBVL3MneIOlC6b1XugVNXYxgOv5HDe1HDuWJnS59phgT6kRAfxcXH9gOs6XNGEj9UgZZLnrVq3r0zmhf0lPL27iK9emjrgdwI0ODp5fm8xV8+P7/tUtNM1VcLfPuM+0n71j2HK+e7AKGSyeyhPXwwD/ILdX+FTAQifDhtmXsP1j+7iT9ltrJoZw0Z7OQ/ftJBIL4dI4G4LXJEazdaDlfz46oxP/rxDJ7u/TvL2oSpME9bOjvV6HTJxnLl3UURERERERMaEgpoWnthewOcXJvCtNem8+51L+OXn5tHQ2skdT+5l3e+280Z2BS7XJ4csmabJ/S9l0dbZxa+/MB+r5ew7lxYkhvNxcT0DPajpSEUT0ycF49NLy1xfZk0OZWVaNH/54Dh1LR0Del+Pp/cU4ujo4vYVfQdkp6gvgj9fAXUFsOF5WPktSLkEQuPPHiKdRUyoP8/euYzJYf5szCzn0wviuWLO8LVmrZ0dS2l9KwfLG8/63JacChIjA5jRxw40EU8oSBIRERERERmjfrHpEL5WC/ddPgMAH6uFaxcn8s63L+bXX5iPo8PJl5/ax1W/28bmrHJcLpMX9pfy1qEqvnv5DKZPCu73HfMTw6luaqe8oW1AtR2paPJ4PtLJvnv5DBocnXztmf04u1wD+myH08VfPzjOitRoMuI9aKmrPgpPXAGOWrjlFZh+6YDr7UtMiD/P3rmcb69JH/LMp/6snhWLYcCWnMo+n2lud7LjWC1rM+I8nqMl0hsFSSIiIiIiImPQttxq3jpUyddWpRFzWguXzWrh8wsTeOtbF/Ob6+bT0eXiK0/v54rfvs9PX8thSVIkt16Y7NF7FiR+MifJU41tnZTWtw4qSJqXEM7PPzOHHcdqefD1wwP67GsHyqhsbOf2lR78bGUfu3cidXXAlzZB4pIB19qfSSF+fH11GmEBw3vKWHSwHwunRrD1YN9B0vtHq+nocrE2Q21tMjQKkkRERERERMYYZ5eL/3jtINOiArl1RVKfz9msFj5zXgJb772Y316/gC6XiWnCr74wD0s/LW09Zk4Owddq4cAAgqSjJwZtD66F6tpFiXzpgiQe317AC/tK+v8A7pa9R7flkx4bzMXpk87+cOEH8NerwScQbn0T4uYOqs5zydrZsRwsb6TY7uj1/pacCiICfVg4LWKEK5PxRkGSiIiIiIjIGPP07iJyq5q5/6pZ+Nms/T5vtRhcs2AKW++9mF33r2ZalOcDsP1sVjLiQ/loAEHS4e4gaYaHJ7b15gfrZrE8JYrvv5TlUYi141gthyuauH1Fytlbt3Lfgr99FoJj4dY3IGr6oGs8l6zJcM9geuvQmbuSOrtcvHO4itWzYrENYGaVSG/0b5CIiIiIiMgYUtfSwf9sPcqFqVEDblOyWAyC/QZ+ePeCxHCySho8nll0pKKJEH8b8WGDP6XMx2rhDzeez6RgP+762z6qms4+o+nRbflEB/txzXnxfT+U8xI8cz1Ep7lDpLCEQdd3rkmODiItJrjXOUl7Cuw0tjnV1iZeoSBJRERERERkDPnNW0dpauvkgfWzR2xo8oLEcFo7u8itavbo+SMVTcyIDRlyfZFBvjxyy0LqWzv4ylP76XD2HmQdqWjivaPVfHH5tL53aO1/Ev55KyQsgi9thKDoIdV2Llo7O5Y9x+3UO0498W5LTgX+PhZWpvXT8ifiAQVJIiIiIiIiY8Thikae2lXITcumDWqQ9WDN7x647UmLmWmaHK5o9Fp9s+PD+NXn57O3sI4fv5rT6zOPbcvH38fCTcumnXnT2Q7v/xpe/TpMXwU3vQj+YV6p7VyzJiOOLpfJO4erTlwzTZOtBytZmTaJAN/+2yBF+qMgSUREREREZAwwTZOfbTxIiL8P916WPqLvTooKJCzAx6OT2yoa22hscw560HZvrp4fz92XTOeZPUU8tavwlHtVTW288nEZn1+YQESQ7yc3mirg3f+E38yGd34Gsz8D1z8DvoFeq+tcM29KGLGhfqe0t+WUNVLW0Ka2NvGagTfHioiIiIiIyIjberCSHcdq+emnZp8amIwAwzCYnxjuUZDkjUHbvfnO2hkcKm/kJ6/mkB4bwpLkSACe/KCQTpeL21akuB8s2Qu7H4acl8HlhPTLYeldkHIpjFAr4GixWAwumxXLi/tLaevswt/HypacCiwGrJ6lIEm8QzuSREREREREznHtzi5+vukQ6bHB3Lh06qjUsCAhjKOVTTg6nGd97khPkBTr3dY7q8Xgt9efx9TIQL7y9D7K6ltxdDh5anchl8+MJLlsMzy6Ch5bDUffhCV3wNf3wYbn3C1t4zxE6rF2dhytnV3sOFYDwJaDlSxKiiRyhMNHGb+0I0lEREREROQc98T24xTZHTx129JRO759wdRwXCZklTSwNCWqz+eOVDQxOcyfsECfwb2owwH2fLBYweLj/tXqAxYfwqw+PHp9Otc9upe7n9zFF2YFcUv7c3yt4j14sRqiUuHKX8GCG8Bv5GZInUuWp0QR4mdjS04laTEhHK5o4ofrZo12WTKOKEgSERERERE5h1U1tvH7d3JZkxHLirTRO2lsfkL3wO2S+rMGSYcrmgY2aNs0oTYPjm2F3C1wfAd0tff5+HRgrwHYgR2AD5hT1sDSL7t3HlkmduONr83CxTMm8dahSlJjggFYmxE3ylXJeKIgSURERERE5Bz2yzeP0Nll8oOrRndXSVSwH4mRAWedk9TZ5SKvqpmL0vsJvDoccHwb5G51B0h1x7tfkgaLb4OExe5WtC4nuDqhq7P7V6d77pGrk525FWw7VsfSdV/i4gsu8N4POg6snR3HxsxyHn4vj5lxIUyNGr8DxmXkKUgSERERERE5Rx0oruef+0q46+IUkqKDRrsc5ieE81FR30FSQU0LHV2u3k9sa6qAnJfc4dHx7e5dRz6BkHwRLP8apK2BiCSPa1l2oUm83cG0qNH/fTnXXDJjEj5Wg9qWDjaM0kwtGb8UJImIiIiIiJyDTNPkp6/lEB3sx9cuTR3tcgBYkBjOxsxyqpraiAnxP+P+iRPbYk87sa10Pzz9eXDUfrLrKPUymHYh+Jy5jicMw1CI1IdQfx+WpUSxLbdGbW3idQqSREREREREzkGvHihjf1E9v/zcPEL8Bzm42ssWJHbPSSpuYE3GmQHQkYpGrBaD6TEnBTx578JzN0FAJHz5VYibM1LlTmh3rExhUogfc6aE9v+wyAAoSBIRERERETnHODqcPLj5MHOnhPH5hQmjXc4Jc6aEYbUYfFxcx5qM2DPuH6loIiU6CD+b1X0h+0V48U6IToObXoTQySNc8cR1UfokLkqfNNplyDg0scfZi4iIiIiInIMe/lceFY1t/ORTGVgsxmiXc4K/j5WZcSEcKG7o9f4pJ7Z9+Bj881aYshD+bbNCJJFxQkGSiIiIiIjIOaTY7uBP7+dzzYJ4Fk6LHO1yzrAgMZwDxfW4XOYp15vbnZTUtTIzNhjefRA2fRvSL4ebX4KAiFGqVkS8bdiCJMMwnjAMo8owjOyTrv3KMIzDhmFkGobxkmEY4Sfd+75hGMcMwzhiGMblw1WXiIiIiIjIuey/Xj+MxTD43pUzR7uUXs1PDKep3Ul+Tcsp149UNGHBxTVlv4H3/gvmb4DrngJfHT0vMp4M546kvwBXnHZtKzDHNM15wFHg+wCGYWQA1wOzuz/zR8MwrMNYm4iIiIiIyDlnV34tm7LKufuS6UwOCxi9Qso+gmdvhLd+Cse3Q1fniVvndQ/c/ri4/pSP5JbW8juf35OY93e44B749B/Bem4MCRcR7xm2Ydumab5vGEbSade2nPSPu4DPd39/DfCsaZrtQIFhGMeAJcDO4apPRERERETkXNLlMvnpaweZEh7AnReljF4h2S/Ay18Fmy8ceR22/w/4hkDKxZC6mpSUVQT72ThQXP/JIPD2JhZ/cBfTrXtxXfYfWFZ8Y/TqF5FhNZqntt0KPNf9/RTcwVKPku5rIiIiIiIiE8JzHxZzqLyR3284D3+fUWjQcLngX/8J7/8Kpi6Ha//mDpMK3odjb8Gxt+HwRqzAFp8EPjy8EHJvhkkz4LmbSWrO5Hch93KPQiSRcW1UgiTDMH4AOIGnB/HZO4E7AaZOnerlykREREREREZeQ2snv95yhCVJkaybOwqnm7U3w0t3weGNcN5NsO5/wObnvjfraveXaUJNLhx7i7Zdr3J5/WZ4+hUATJs/9xrfJSh5/cjXLiIjasSDJMMwvgSsB1abptkz5r8USDzpsYTua2cwTfMR4BGARYsWmb09IyIiIiIiMpb87u1c6hwdPHB1BoZhjOzL64vgmRug6iBc8V+w9MvQWw2GAZPSYVI6uaGf5cq/7WTjpwzS2nKwT7mUV/9cx09iQ0a2dhEZccM5bPsMhmFcAdwHfMo0TcdJt14FrjcMw88wjGQgDdgzkrWJiIiIiIiMhmNVzfz1g+NcvziROVPCRvblhTvhkUuhvhhu/Acsu7v3EOk0CxLDaceXba75sOoHZBtpAMyICx3uikVklA3bjiTDMJ4BLgGiDcMoAX6M+5Q2P2Brd8q+yzTNL5ummWMYxvPAQdwtb181TbNruGoTERERERE5V/x800ECfKx8e+2MkX3x/idh47cgYhrc8CxEp3n80dhQfyaH+Z84ue1IRSMAM+O0I0lkvBvOU9tu6OXy42d5/hfAL4arHhERERERkcH4939m0ubs4rfXn+f1td89XMW/jlTzw3WziA728/r6vepywpYfwu6HYPoq+PwTEBAx4GXmJ4RzoMQdJB2uaCImxI+IIF9vVysi55jRPLVNRERERETknNbY1slLH5VisUCH04WvzXvTQTqcLn626SAp0UHcsjzJa+uelcMOL9wGee/Asq/Amp+BdXB/LVwwNZw3ciqwt3RwpKKJGdqNJDIhjOiMJBERERERkZMdKm9k73H7aJfRp7cOVtLR5aKt00V2WYNX135y53Hyq1v44fpZXg2o+nR4M/xxORRsg0/9H1zx4KBDJHDvSALYX1hHblWz2tpEJggFSSIiIiIiMmru+2cm1/5pJy9/1OuhzaNuU2Y5kd3tWh8WeC/wqmlu57dv53Jx+iQunRHjtXV75bDDC7fDszdAUDTc/hacf8uQl52XEIbFgFcOlNHhdGnQtsgEoSBJRERERERGRYOjk+yyBvx9rHzr+Y95cX/JaJd0igZHJ+/nVvO586eQHB3Eh17cOfXfW47S2tHFj9bPwvDglLRBO/gK/GEJ5LwEl3wf7ngX4hd4ZekgPxtpMSG8mV0BaNC2yEShGUkiIiIiIjIqdhfUYprwxxvP59Ft+Xz7Hwfocpl8YVHiaJcGwJaDFXR2mayfF09Daydv5lTicplYLEMLfvKrm3n2wyL+7YJkUmOGKXxprobN33YHSZPnw80vQ9wcr79mfmIYRyqbsBiQGhPs9fVF5NyjHUkiIiIiIjIqduXb8bNZWD49ise/uJgVqdHc90Imz39YPNqlAbApq5yEiADmJYSxOCmShtZOcquah7zu24eqME24fWWyF6o8jWlC1j/du5COvA6rH4Db3xmWEAlgQaL7tLek6CD8fazD8g4RObcoSBIRERERGWP2Fdqpbmof7TKGbGd+LQunReBns+LvY+XRWxaxMm0S972QybN7ika1trqWDrbn1rBu3mQMw2BJciQAe7zQ3rbtWA3TJwURHx4w5LVO0VQBz97oPpUtMgXu2gYrvz2kgdr9mZ8YBqitTWQiUZAkIiIiIjKGdHa52PDobv7w7rHRLmVI6lo6OFTeyPKUqBPX/H2sPHLzQi6ZMYnvvZjF07sLR62+LQcrcLpM1s+NB2BqZCAxIX5DHrjd1tnFnoJaVqZN8kaZn8h52b0LKe9tWPMzuG0LxMz07jt6MSM2hPgw/1P+HEVkfNOMJBERERGRMaTY7qDd6eJIRdNolzIku7sDmWXTTw0g/H2s/Onmhdz91H5+8FI2LpfJzcuTRry+jZnlTIsKZM4U90lkhmGwODmSD4/bMU1z0AOy9xfW0dbpYkVqtPeK/fBx2PRtSFgEn34YolO9t3Y/bFYLO763angHhovIOUU7kkRERERExpC86hYAr8zqGU278msJ8LEyPyH8jHt+NisP3XQ+l82K4Uev5PDXD46PaG32lg4+yKtl3dzJpwQkS5IiKW9oo7S+ddBrbztWg81inBGgDdqO38Kmb0H6FfDFjSMaIvVQiCQysShIEhEREREZQ/Kr3QFSTXM7DY7OUa5m8Hbm1bIoKQJfW+9/JfGzWfnjjQtZmxHLj1/N4c87CkastjeyK+hymaybN/mU64uS3IOlPxzCnKTtuTWcNzWcYL8hNoeYJrzzc9j6AMz+LFz3N/DxH9qaIiIeUJAkIiIiIjKG5FV/shPpWPXYbG+rbW7nSGUTy/qZq+Nrs/CHG8/nitlx/PS1gzy+fWTCpE1ZZaREB5ExOfSU6zPjQgnxs7GnoG5Q69a1dJBd1sCK1CHORzJNeOP78P6v4Lyb4HOPgdVnaGuKiHhIQZKIiIiIyBiSV93ClO7TvnIrx2Z724n5SB4MaPaxWvi/Dedx+exYfr7pIGVDaCvzRE1zOzvzak+c1nYyq8VgYVLEoHck7cirwTRhRdoQ5iO5uuDVr8Puh2Dp3XD1/4HFOvj1REQGSEGSiIiIiMgYYZomx6qauSg9Gj+bhWNjdE7SzrxaAn2tzEsI8+h5H6uF7105C9OEzVnlw1rb69kVuEzOaGvrsTgpkmNVzdhbOga89vbcGkL8bcz38Oc+Q1cnvHA7fPQ3uOi7cMWDYNFf6URkZOl/dURERERExgh7SwcNrZ2kxoQwfVLwmB24vTO/lsVJkfhYPf/rSHJ0ELPjQ9k0zEHSpswypk8KYkZsSK/3lyRHAgOfk2SaJttya1ieEoVtAD/3CZ1t8NxNkPMiXPZTWPVD0JBrERkFCpJERERERMaI/Br3iW3TJwWRGhM8JnckVTe1c6yq2aO2ttOtnxfPR0X1lNQ5hqEyqGpqY3eBnfXz4vs8iWxeQhi+NgsfFgwsSDpe66C0vpWVg2lra2+Gv38Bjr4B6/4bVnxz4GuIiHiJgiQRERERkTEirzs4mj4pmLSYYErrW3F0OEe5qoHZlV8LwPLpAw+S1s11t5sNV3vbG9kVmGdpawP3aXILEsIHvCNpe241ACvSBjhou7UO/vZpOL4dPvMnWHz7wD4vIuJlCpJERERERMaIvOpm/GwWpoQHkBoT7L5W1TLKVQ3Mzvxagv1szIkP7f/h00yNCmReQhibMocnSNp4oJz02GDS+2hr67E4OYLsskZa2j0P8bbl1jAlPICkqEDPC7Lnw1/WQ9nH8IW/wvzrPf+siMgwUZAkIiIiIjJG5FW3kBwdhMVinAiSjlU3jXJVA7Mrr5bFSRGDmxOEe1fSgZIGimq9295W0dDGh4V21s2N7/fZRUmRdLlMPi6u92htZ5eLnXm1rEyL7rNl7gwHX4E/XQwNxbDhOcj4lGefExEZZgqSRERERGTMOlBcz/dfzKTLZY52KSMir7qZ6d0B0rSoIGwWg9zKsTMnqbKxjfyalkG1tfXoaTvz9tDt17PL+21r67FwWgSGAXs8nJN0oKSBpnYnKzyZj+Rsh833wfO3QHQa3LUNUld79B4RkZGgIElERERExiTTNHnglWye2VPM8dqx1d41GO3OLortDqZPcgdJvjYL06ICx9TA7RPzkVIGMXC6W0JEIAsSw9mUVeatsgDYmFnOzLiQEzu9zibU34dZcaEez0nanluDYcCF0/v5ue0F8MTlsOdPsOwr8G9vQMQ0j94hIjJSFCSJiIiIyJj07pEqDpQ0AJBbObbauwajsNaBy3Sf2NYjLSaEY9VjJ0jamVdLiL+NjEHMRzrZ+nmTyS5t5HiNdwLEsvpW9hXWsd6D3Ug9liRH8lFRPZ1drn6f3X6smjnxYUQE+fb90KHX3K1stflw3dNwxYNgO8vzIiKjREGSiIiIiIw5pmnym625TAkPAODoGGrvGqyTT2zrkRoTTGGtgw5n/2HGuWBnfi1LkyOxWjycE9SHq+Z6t72t5xS4dfP6n4/UY3FSJK2dXWSXNpz1ueZ2Jx8V1ffd1ubsgNe/B8/dBFEp8OX3YdZ6j+sQERlpCpJEREREZMx561AVWaUNfOOyNBIiAjg6AXYk5XXvPEo5aUdSakwwXS5zTLT2ldW3UljrYFnK4Ocj9YgPD2DhtAg2eun0tk1Z5cyODyU5Oqj/h7stTo4A6Le9bVdeLU6XycrUXoKkukL48xWw+yFY+mW49U2ISBpI6SIiI05BkoiIiIiMKe7dSEeZFhXIZ8+bwozYkDE1cHqw8qpbiA/zJ9DXduJazzyfsfDzn5iPNIRB2ydbN3cyh8obTwRsg1VS5+CjonqPhmyfLCbEn6SoQPYU1J31ue3HavD3sbAwKeLUG4c3w59WQk0uXPskXPn/wOY30PJFREacgiQRERERGVPezKnkYHkj96xKw2a1kBYbQn5Ns0ezasayk09s6zF9UjCGwZgYuL0zr5awAPeQam+4au5kDAM2D3FXUk9b2/q5nre19VicFMneQjuus5wauC23miXJUfjZrO4LZR/D36+DZ2+AiGS46z3IuGZQtYuIjAYFSSIiIiIyZrhcJv/71lGSo4O4ZoH7L/7pscF0dpkUjoH2rsEyTZP86pZT5iMBBPhaSYgIGBMDt3cVuOcjWYY4H6lHXJg/i6dFDrm9bVNmOfMSwpgaFTjgzy5OiqTe0dnn7395Qyt51S3utraKLHj2RnjkYijaBat+BLdtgciUIdUvIjLSFCSJiIiIyJjxZk4Fhyua+MZq924kgPTYEACOVJz7YcpgVTW109zuPOXEth6pk4LP+VPrSuocFNtbvdbW1mPdvMkcqWwa9M9fbHdwoKSBdXPP0tbWWA7P3ew+Ue3tn0HRbnB1AbA4ORLoe07Sttwa0o1irjv+Q3h4BRRsg0t/AN/MhIu+o1Y2ERmTFCSJiIiIyJjg3o2Uy/RJQVw9/5M2pJ72rvE8cLu3E9t6pMYEk1/TQtdZ2qtG284893wkbwzaPtmVc+IwjMGf3tazm+mqvoKkrH/CH5dB7lZ36LP9N/DEWvhVKrxwB0llm0kJ6uDDgl6CpOqjTH/vHt7w+x4hJe/DRffBNw/AxfeBf9ig6hURORfY+n9ERERERGT0bc4u50hlE7+9fsEpx8cH+FqZGhlIbtU4DpJOnNh2ZpCUFhNCh9NFsd1B0gBOHTvZ8ZoW3syp4M6LUjAM77SenWxnfi0RgT7M6N495i0xof4sSXK3t31jddqAajdNk9cOlLEgMZzEyNPa2hx22PQtyHkJEhbDpx+G6FRorYO8d+DoFji2FSPred7CQtaRdNh2LaRdDjZ/eP+XmFn/YJbpy9tRG1hz288hMNKrP7uIyGhRkCQiIiIi57wul8lv38olLSaY9fPOHIqcFhPC0TFwctlg5VW3EORrJTb0zFaongHcx6qaBx0kPbGjgCd3FrIoKZKF0yL6/8AAmKbJ7nw7y1KivDYf6WTr58fzo5ezOVrZzIw4z4OqP7x7jIPljfzXZ+eeeuPoFnj1a+4wadWP4MJvgrX7r00BETDnc+4vVxeU7ifzneew5m2Ft//D/QVgC6B27h2s3XMe91+wUiGSiIwram0TERERkXPexswycqua+cZlaafsRuoxIy6Y4zUtdDjH58ltPSe29bbjJrUnSBrCwO2e1rMX95cMeo2+FNtbKa1v9XpbW48rZsdhMWBTZpnHn3nrYCX/vfUon14Qz3WLE90X25vg1Xvg71+AwCi44x33HCNrH//fu8UKiYuxXfYjru74T95Y+y/41P/Bqh/CNzN5Ieou7ISyIjV6yD+jiMi5REGSiIiIiJzTulwmv307lxmxIVw1p/dZNumxIThdJgU14/Pktt5ObOsRFuBDTIgfuYPckVXT3E5uVTO+NguvHSij3dk1lFLPsDO/BsDrg7b/P3v3HV5lff9//Hmfc7JP9jiZJCGThISNICJBARVULO5tcdS21g6/3bb9dVhb29rW9qt+XXXVLS6oGIogoCCBsJIA2XvnZM8z7t8fJ4EAGeecLMD347pygefc9+f+JOnFlb7zeb/eA4K93Vg0PZCNR2pQ1dFzogrr2/nemwdJDffhD9em24pzpZ/DU0sg+2XbCaT7tkNYul3PnxHmg7ebjh11Oph7B1z8Q9CHsKuwkYQQPaG+7mP7BIUQ4iwjhSQhhBBCCHFW+/BQFcUNnXxvRcKwrVEJIbaWpvMxcLurz0xVS/eQE9sGJBj0Tp9I2lNsO4307Yx42nrMfHq03ql1hl/fSJDelYSQoQthdmupgMNvQ+V+2+mhQdakh1Hc0MnRmpG//63dJu59eT9uOg3/d/t83DHBJz+HF9eAooH1m2Hlrx2apqbVKMyN9j8lcLvHZGFviZGLEuQ0khDi/CMZSUIIIYQQYtJsPFyNl5uOjMRgu4KRzRYrT2wtJDnUm8tSQ4e9bnqwF5rzdHJbcYPtlNVQQdsD4oP1vJtdhaqqDodl7y5qQu+m4/6M6fz7yzLeza7iiuGmmDlIVVV2FzVxwfRA50O8u4yw8y+w91mw9J583ScSQpIhOJm1PnG8p21jywEDKeHzT72/pxVaq7C0VPDeJ59zfWsZNyQoBL33N2jMh856mL8eVv4W3Jwrdi2MDeBPnxynubMPfy9X9pU202u2slQKSUKI85AUkoQQQgghxKRo6ujlwdcPYFUhPdKXBy9J4NIZISMWGD44WE1JYydP3zZvxKBmdxctMYFe52UhaWBi23CtbWDLSeroNVPb1kOYr4dD6+8pbmJBjD9uOi3XzInghV0lNHX0Eqi3/1TOcEqbuqht63EuH6mvE/Y8CZ8/AX0dMOtmWHA3tNVAwzFoOG77s3QXenMP77gAWaAeC0cJiLUVUOrR2wAAIABJREFUoNqqoLcNAC1wF2DVadE0hYNvJExfZls3/tIxfZ7z+wPK95U1szLFwM7CBly0ChfETkw7nxBCTCUpJAkhhBBCiEmx9Vg9VhUeWB7PB4equOflfaSG+/DgpQmsSjGcUVAyW6w88WkBqeE+XJZqGHX9BIPe6Zygs1lRQycaBaIDPYe9Jr6/ta+wvsOhQlJ9Ww9FDZ0nAqfXzY3gmR3FfHSomruWxI5t45wM8V7sSCHJYoLsl+Czx6CjDpJWw6W/hJAZtvcjgBlXnrzeaoGWMnZ8vosv9nzON0JN+PdWQ8B0iL0YfCPZ3+LJI7vaWTArjZ9cnzF8gLaTZkX54arVkFVqZGWKgV0FjcyZ5o+Xm/zfLSHE+UcykoQQQgghxKTIzK0jws+Dh1Yl8ulDGfzpunQ6es1845X9rH5iF5tzarBaT4YlbzhQRVlTF99bkWhXW1SiwZvSpk56TM6HRauqytp/7uJfn5c4vcbpNh6uJuNP2+jqMzt1f3FDB1EBnri7aIe9ZmBym6OFtN39+UgDJ4aSQ31IDfdhw4Eqp/Z6uj3FTQR7u42Y73SC1Qo578L/LoRND9kKQes/gZtfP1lEGopGCwHTSbvkJp5T1/J/AT+yZR3d/Bqsfozc2Du5dU8EyrQLeOi6S1DGuYgEthNx6ZG+7C0x0tTRS251G0tlWpsQ4jwlhSQhhBBCCDHhuvrM7CxoYGX/ySMXrYbr50ex9QfLePyGWfSaLNz/ajarn9jJpsM19Jot/OPTAtIifFkxI8SuZyQavLGqJzOFnFHc2Mmhylbe2Fvh9BqnezOrgtKmrhOncxxVNMLEtgFBelf8PF0cDtzeU9yEt7uO1HDfE6+tmxvJ4cpWCsbYJqiqKruLm1hkTz5S0TZ4djm8sx507nDzm/D1j2HaIruf5+/lypL4IDYdqT4xva2po5f7Xt6Pn4crT902F1fdxP3fnwWxAeRUtbK1P6xcgraFEOcrKSQJIYQQQogJt7OgkV6zlZUpp7ao6bQa1s2NZMsPlvH3m2Zjslj59mvZLPnDNiqM3Xx/ZYLdIc2JBlt7V0G98wWQfaW2yVvH69opa3K+IDWgtdt0ooC07bjj09CsVpXihg6mB418okdRFOKD9RQ6eCJpT7GRC2ID0A7Kn7p6VjhajcK72WM7lVTU0ElDe+/IbW2mHnj7LnjlGlum0TVPw/27IOlycCKce016GBXGbo5UtZ7431JDRy//d/s8Qrzdnf9k7LAwJgCzVeXJ7YX4uOtIj/Sb0OcJIcRUkUKSEEIIIYSYcJm5dfi461gYGzDk+1qNwtrZEWR+fxlP3DyHQC9XlsQHsjzJvtNIALFBXug0ypgCt/eWNOPpamsh25JX5/Q6A7Yfr8dsVYnw82DbsYYTJ2XsVdXSTa/ZSlzI6NPE4kP0Dp1Iqm3toaSx84wg7GBvN5YlBvP+gSosVsf2O9ie/ra5xXHDFJJ6WuHVayH3PbjkYfjOPph9s61VzUmXpYTiolXYeLiGRzYdZU+xkUe/lsasqIkv6syN9kdRbAHjF8YFnVKcE0KI84kUkoQQQgghxIQyW6xsPVbHpTMMuGhH/vFTq1G4elY4n3z/Yv59zyKHRsa76jTEBHmRP4bA7axSI0sTgkgO9SYzd+yFpMy8OoL0btyfEUdVSzeF9Y7tzZ6JbQPiQ/QYO/to6ui1a+3dxY0AQ05UWzc3gtq2Hqfb8WzrN2HwcSNmqJDwjnp4cQ1U7IF1z8HFPwTd2KfE+Xq6sDQhmFd2l/HiF6WsXxLLtfMix7yuXc/2cCE51AeQtjYhxPltwgpJiqK8oChKvaIoOYNeC1AUZYuiKAX9f/r3v64oivKEoiiFiqIcVhRl7kTtSwghhBBCTK59Zc20dJnOaGubCIkGvdMnkuraeig3drEgJoBVKQb2lRntLsoMpdds4bPjDayYEcKlybaTVY62tw3kPdkTVj0QuG1vsWpPkRFfDxdSwnzOeG/FDAPe7jo2ZFc6sNuTOnvNfFHYyOKh8pGaS+GFy6CpyJaFlH69U88Yzpq0MLpNFpbEB/Kz1cnjuvZoFsb4A7BUCklCiPPYRJ5IehG4/LTXfgJsVVU1Adja/98AVwAJ/R/3AU9N4L6EEEIIIcQkysytw1Wn4eLE4Al/VkKIN+XGLrr7HJ/ctrfElo+0MDaAVamhWFXYeszxXKMBu4ua6Og1syrVQLifB8mh3mw71uDQGkUNHfh5uhDg5TrqtQn9GVH2trftLm5iYWwAmiFasNxdtFyZHsbHObV09jo+be7Rj4/S0m3itkXRp75RmwPPr7LlId3xASSscHjt0Vw1K5zfrk3lf2+Zi26UE3Dj7d6Lp/PoujSiA+2YUieEEOeoCfuXVVXVHYDxtJfXAi/1//0l4JpBr7+s2uwB/BRFCZuovQkhhBBCiMmhqipbjtayJC4Qvdv4j10/XaLBG1U92RLmiKxSI16uWlLCfEgN9yHc131MOUlb8urwdNVyYZztdEpGUghZpUbae0x2r1HUH7RtT4tfuK87nq5aCuxo7atq6abc2DViEPa1cyPpNlnYnFNr934BdhU08uqectYviWV+zKBMrLLd8K/VoGhh/WaIWujQuvZy1Wm4fXEMfp6jF9/GW6S/JzcvnDbpzxVCiMk02RlJBlVVa/r/XgsMnG+OAAbPWK3sf+0MiqLcpyjKPkVR9jU0OPYbHSGEEEIIMbmO1bZTYexmVWropDwvKdTW3uVMe9veEiNzo/3RaTUoisLKFAM7CxqcOt1ktapsyatjWWIw7i628OjlScGYrSqfFzbavU5RQ6dd+Uhgm9wWF6y3q4g2kH00bBA2MC/an2kBnmw4YH97W3uPiR+9c4jpQV788LKkk28c32ybzKYPhrs/gZAZdq8phBDi7DJlYduqbWSFw2MgVFV9RlXV+aqqzg8Onvjj0UIIIYQQwnmZuXUoClw6w/7pa2MRHeiFi1ZxOHC7tdvE8bp2Fgw6QbMqNZQek5UdBY7/8vJQZQv17b2sSj2ZCzU32h9vd53d7W1tPSYa2nvtmtg2ICFEb9eJpD3FTfh7upDU3w43FEVRWDc3gi+Kmqhu6bbr+Y9sOkptWw9/vmHWiQIaB1+HN26xFY/WfwJ+cmJHCCHOZZNdSKobaFnr/3Og6bwKiBp0XWT/a0IIIYQQ4hy25Wgtc6L8CPF2n5TnuWg1TA/SU+DgiaT9ZUZUFeb3hyWDLSvJx13nVHvblrw6tBqF5UknC2guWg0XJwSzPb8e2+9UR3YyaNv+QlJciJ7atp5R2+d2FzVxQWzgkPlIg62bE4mqwnsHRv/RfNvxet7IquC+i+OYO63/6/jFP+D9+yHmIrjzI/CSEGohhDjXTXYh6UPgzv6/3wl8MOj1O/qnty0CWge1wAkhhBBCiHNQVUs3OVVtk9bWNiDBoCe/3rFC0t6SZly0CnOiThaSXLQaLkkOYevROswWq0PrZebVcUFswBk5PRlJwdS19XK0ZvT9FfVPXxtyYltbNfR1nvFyQv/ppaKGM98bUGHsoqql+2RbW18nfPkMvH0XbP0t5LwL9cfAYmZaoCcLYvzZkF05YvGrtcvET949TEqwK99PN0Hue/DhdyDzYUhZC7e+DW7Dn34SQghx7piwxENFUV4HMoAgRVEqgV8BfwDeUhTlbqAMuKH/8v8Aq4FCoAv4+kTtSwghhBBCTI4tubaQ5pUphlGuHF+JBm82Hq6hq8+Mp6t9P+5mlRqZGeGLh6v2lNdXpYby/sFq9pU1s2iEYOrBihs6KKzv4LYLzmzhWpZki2bYdryelHCfEdcpauhAp1GICvA87QGfwWs3gNYVZt0E8++GENuY+/j+QlJBXTuzo/yGXHd3sS0f6aJwYNujsPcZ6DaCdzjkfQBqf9FM6wpBSTymjeYNozclu41MT10IPhG2qWuN+Sc+Ko/s563eYqaZGlCeHVR0W3AvXPFH0GjP3IgQQohz0oQVklRVvXmYty4d4loV+PZE7UUIIYQQQky+LUfriAv2cqg1azwkGgaKKR3MGqaYMliPycLhyhbWL4k9472LE4Nx1WnYkldndyFpoBVuxRAFtBBvd9IifNl+vJ5vL48fcZ2ihg6iAz1xGTzCvuwLeP0m8I+FsHTY/6KtEBSzFOavZ1rialy1GgpHCNzOP3qEP3q8zPRXPwNzNyStgSUPwrRFYOqBxuNQfxTqcqE+j+ja/fzUpQYyX4dMQOsGlt4T61k0rmjMofQEp6HMnAdBiRCUAIHx4DrEaSohhBDntImfwSqEEEIIIb5yWrtM7Ck2ct/F0yf92Qn9AdL5de12FZIOVbRgsqinBG0P0LvpWBIXSGZeLQ+vmYGijJwpBLa2ttRwHyL9PYd8f3lSMP/cVkhrlwlfT5dh1zljYltFFvz7etuJoDs/BH0IXPZ7OPAq7Hse3vk6Or2BX+kzOFB1DXDaZLTqA6ifP8FPi95HRYOSdjNc+B0IHjRdzcUdwmbZPvppgP955TOMxQd55jIPdC2l4BMOQYm0esWy8oViAgM9+eCbS0A3ZbN8hBBCTBL5l14IIYQQQoy7bcfrsVjVSW9rA4gO8MRVp6Gg3r7JbVmlRuDUoO3BVqWGUmHs5rgdAd4N7b1klzezKmX4XKiM5BCsKiNOgzNbrJQ1dZ6c2FZ9AF69FryCTxaRwBZefdH34MGDcMvbEDabm3vf4o+Vt8Ibt0LRp1C4FV66Gp7JQC3YwjPmNbyfsRnW/vPUItII1iyYwafd8XzqfTVc/nu48AFIXMUvdnRg7Lbwl+tn4SpFJCGE+EqQf+2FEEIIIcS4y8yrJdjbjdmRo58IGm86rYa4YD35dk5u21vaTJLB+4xg7AGXzghBUSAzd/TpbVuP1qGqI+dCzYr0w9/ThW3H64e9pqK5G5NFtZ1Iqj0Cr3wN3H1tk898ws+8QaOFxFVw61v8a957PGO+ErV8t+2+V9fZsoxW/pYNyzL5o/lmZqckj/q5DLY0IYggvSsbsk9Ob/v4SA0fHqrmwUsTRs17EkIIcf6QQpIQQgghhBhXPSYL2483sGKGYdTx8hMl0aCnoG70E0kWq0p2WTMLYoc+jQS2XKM5UX5k5tWOul5mXh2R/h7MCBt+QplWo7AsMZjPjjdgtQ49CW1gYluKrhpeXgsunraTSH5Ro+4hZFoSfzTfxLGbv4Rrn4d1z8F3D8OSB9lZ0Uuwt5vDuVU6rYa1syPYeqyOlq4+Gjt6+fn7OaRF+PLNjDiH1hJCCHFuk0KSEEIIIYQYV7uLmujqs7AqdfLb2gYkGrypaummo9c84nVHa9ro6DUPmY802KrUUHKq2qhu6R72ms5eM7sKG1mVEjpqllJGUghNnX0cqWod8v2ihg5ilRqSM28FjQ7u+BACzgwDH8qJyW1GE6RdB+nXg84VVVXZXdTEoumBdmU9nW7d3AhMFpWPDlXzi/dz6Ogx85cbZp0aBi6EEOK8J//qCyGEEEKIcZWZV4uXq5YL4+ybcjYREgaKKaO0t+0tseUjjVpI6m9VG5jINpQd+Q30ma2ntrXVHIK3vw5/S4MPvwMF/wVzHxcnBqMoDNve1lyVzxtuj6BRrbYiUtDIE94Giw3yQqNA4Wmfe0ljJ/XtvSyaPvLnOpyUMB+SQ735y5Z8Ps6p5fsrE0k0DH/ySgghxPlJCklCCCGEEGLcWK0qW/LqyUgKwU2nnbJ9DBQ4Rmtvyyo1EuHnQbifx4jXTQ/WExfsNWJ7W2ZeHX6eLiyI9oPi7fDyNfB/F0PhfyF4BuRsgH9fC3+KI2Dzt7k/OJcvjlWcuVBLOesLH8RTMcEdH0CIY3lG7i5apgV4Uthw6ue+u7gJgMXTnSvwKYrCurkRtHSZmB3lx71L7TshJYQQ4vyim+oNCCGEEEKI88eBihYaO3qntK0NICrAE3cXzYiT1lRVJavUyNKE4JMvWkyQ94GtnSxq4SnB1qtSQ3l2RzGtXSZ8PV1OWctksbL9aA3fjzyO7vlHoOYg6A2w4v/B/PW2oGxTD5R8Bkc/hGP/4cfdb9GtutL77xW4zbwGEi8DUxe8dDUe1g5eSniCB0JnOvX5x4d4U3ja1LrdRU0YfNyIDfJyak2A6+ZFcaC8hR9dnoxOWtqEEOIrSQpJQgghhBBi3GTm1aLTKGQkhUzOA1UV+jrA7dQWK61GIT5k5MltJY2dNHb02drarBbIeRe2PQLNpScv8omEqAUQuZC1Qck8ZzWx7Xg918yJOHmNqYfyLc+wwfpPYivrICAOrvo7pN8ELu4nr3NxtxWLEi+DK80U789k54cvcEPFPij4j6145e6Laurhjt4fc2X0fKe/LPEhej7Lr8dssaLTalBVlT3FRi6Kdy4faUCAlytP3TbP6fuFEEKc+6SQJIQQQgghxs2WvDoWTQ/E18Nl9IvHymqBjx6Eg69B/EqYdyckXAZa24+4iSHefFHUNOzt+0qbAZUMsuDpG6E+DwxpcPOb4BUMlXuhMgsqsiD3PZKBHHcXKj9JhPrlthNLTYWw52niOus5rMTRu+4PuM1cC5pR2vq0OmLmX8ENma7sn+bPE0uttpNKFV9ybOZDHHjPzIPBzp8cig/RY7KolBm7iAvWU9TQQWNHL4ucbGsTQgghBkghSQghhBBCjIvC+g6KGzq568KYiX+Y1QIfPACHXoPkK6FyH7xxC+hDYfYtMPcOEgzebDhQRWu3acjCVlPuf/nQ/UnCP86HgOlw7fOQug40/S1bkfOAb9r+3lYDlVl8ue0/6OuzUfc+i7L7nwCocZfyYPkyuiMu5Ln0BXZ/ChqNQkZSMFvy6jDfuAJdlO3eQ3vLgSPEB+ud/vKcDBvvIC5Yz+7+gtriKQxAF0IIcX6QQpIQQgghxFmsx2Thsc3HuffiWMJ8Rw6EnmoDQdQrZkxwPpLVAu9/Cw6/ARk/g4wfg8UMBZmQ/RJ8/jfY9Tg3GhaTq5lPUc1c5k4PO3l/1X7Y+lu+WbqNZm0QrP47zL4VtCOcovIJg5SrsWgXse5fWbx4wywyfOvA1YtcUxgf/WMXj6WGOvypLE8K4Z39lRysaGF+/+S4ooYO3HSaUQPARxLXX0gq6g/c3lNsJNzXnWkBnk6vKYQQQoAUkoQQQgghzmpfFDXywuclVLd08/TtZ3c2zZa8OtIifMdUABmV1QLv3Q9H3oLlD8OyH9pe1+ogebXto7UKDv4bn30v8U/X3fS+/grMuxUSVsC+F+DoR1g9AnnEdBuRGQ/w9Xkz7H78hXGBeLlq+eR4MxnrbN+PLVvy0Shw6QzHc6EuSghCq1HYdrz+RCGpuKGT2CAvtBrns4z0bjrCfd0prO/oz0dqYlli8JjykYQQQggAGbUghBBCCHEW21/WDMDm3Fq+KGyc4t0Mr76thwPlLaxKmcDTSBYzbLjPVkS69Jcni0in842AZT9C873D3GP5KUVes2Hv/8ErX4Oi7ZDxMzJXbOZ5y2rmxIUNvcYw3HRaMpJD2JJXh9WqApCZV8f86AAC9W4Of0q+Hi7Mi/Zn27GGE68VNXScOFE0FnEhegrq28mv66Cps49F0tYmhBBiHEghSQghhBDiLJZd1kKSwZtIfw9+szEPs8U61Vsa0pajdQCsTJ2gQpLFDBvuhZx3YMX/g6UPjXqLRqulwXARv9f/DH5wDK57Ab57CDJ+zO7KPjxctKSG+zi8lVUpBho7ejlQ0UKFsYujNW2sHEMBbXlSCHk1bdS29tBrtlBu7CIuyPmg7QHxIXqK6jv5oshWgFwsQdtCCCHGgRSShBBCCCHOUmaLlYMVLSyaHsDPV8/gWG07r2dVTPW2hrQlr45pAZ4kGbzHf3GLCd69G3I3wMrfwEXft/vWBIM3x+vaQR8MM68FL1sxZW9pM3Oj/XDROv7jcEZSCDqNwpa8Orbk9RfQxlJISg4G4LP8esqaurCqjMuJpIQQb7pNFt7NriTCz4MoyUcSQggxDqSQJIQQQghxljpW2063ycLcaH8unxnKoukBPJ55nJauvqne2inae0x8UdjEyhTD+GfwDBSR8t6HVY/Aku86dHuiQU9De+8pX7PWbhPHattY0J9J5ChfDxcWxwWSmVdLZl4tSQZvYsZwgijJ4E2YrzvbjjVQVG8Lx44bw8S2AfH9xaicqjaZ1iaEEGLcSCFJCCGEEOIslV1uy0eaO80fRVH45ZWptHab+Nt/C6Z4Z6fakF1Fn8XKmnTH8oZGZe6Dd74OeR/AZY/ChQ84vERC/wmp/LqOE69llzWjqrDQyUIS2E4gFTd08mWJcUynkQAURSEjKYRdhY0cq20HIHYcWtsSBp1qkrY2IYQQ40UKSUIIIYQ4L6mqOtVbGLPssmZCvN2I9LdNQUsJ9+HmhdN4ZU8ZBXXtU7w7G4tV5YXPS5gd5cecKL/xW3igiHT0I7j8j7D4W04tk3iikHTy67W31IhOozBnmr/T21sxw1Y8UlVYNQ65UMuTgunoNfPO/krCfd3xchv7cGV/L1cCvVwBJGhbCCHEuJFCkhBCCCHOK529Zh566xALf7/1rGsBc9T+8uYTp5EG/GBlIp6uWn6zMe+sKJZtyaujrKmLe5dOH7+2to4GeO16OLYRrvgTLLrf6aXCfd3Ru+lOKbxllRiZGeGLh6vW+XX9PEiP9CXM1520CF+n1xmwJD4IF61CVUs308ehrW1AosGb6EBPIvw8xm1NIYQQX21SSBJCCCHEeSOvuo2r/rmLd7MraWjv5bP8htFvOkvVt/dQYexmXvSpp2YC9W58b0UiOwsa+fRY/RTt7qTndhYT6e/BZeM1ra1kBzy9BMr3wNr/hQvuG9NyiqIQH6I/0drWY7JwuLKVhbHOt7UNePyGWTx7x/xxKaB5uem4INZ2aigueOxtbQN+e81Mnrx17ritJ4QQQkghSQghhBDnPFVVeXVPGdc8+TkdPWZeu+cC/D1d2H783C0kZZe1ADA3+sx2sTsWRxMX7MVvN+bRZ7ZO9tZOOFDezL6yZtYviUXnxPSzU1gtsP0P8PJacPOBe7bCnNvGZZ9JBm8K6m0nkg5XttJnsTodtD1YfIg3M8fhNNKAjCTb9LbxmNg2ID5ET2r4+O1RCCGEkEKSEEIIIc5pbT0mHnjtAA+/n8Pi6YH857tLuTA+iGWJwXyW34DFOvXtX844UN6Mq1YzZBHARavhF1emUNrUxYtflEzB7mye21mCt7uOGxZEjW2h9lpbAWn7o5B2A9y3HUJnjscWAUgw6Gns6KOpo5esUiMA86Odz0eaKFekhREd6MkiCcYWQghxFpNCkhBCCCHOWYcqWljzxE4259bykyuS+dddCwjSuwGwPDkEY2cfhytbpniXztlf1kxqhA/uLkPn+GQkhXBJcghPbC2kob13kncHFcYuPs6p4ZYLpqEfSzB04VZ4aglU7rO1sn3taXAbvxM5MDhwu4O9JUYSQvT494dQn00i/Dz47IfLT+xXCCGEOBtJIUkIIYQQ5xxVVXluZzHXPf0FViu89Y1F3L8sDo3mZFbNxQnBKApsOwfb2/rMVg5XtTJvlKliD6+ZQY/Jwp8/OT5JOzvphc9L0CgKd10Y49wCFjNs/Q28ei14BdtOIc25DcYrsHuQgcLMsdo2ssuaWTAO+UhCCCHEV5UUkoQQQghxTmnu7OPel/fxu01HyUgKYdODFzEv+szCgL+XK3Oi/Pjs+NQHUjsqt7qVPrP1jKDt000P1vP1JTG8tb+CnKrWSdodtHabeCurgqtmhRPm68Q0sNZKeOlK2PkXW/Ho3k8hJHn8N9rP4OOGt7uOjw5V095rZuE45CMJIYQQX1VSSBJCCCHEOeNIZSurn9jJZ/kN/OqqFJ65fR5+nsO3KC1PCuFQZeu4tH7tyG+grKlzzOvYI7t8IGh79Byf71yaQICnK7/+KBdVnZw8qNf3ltPZZ+GepbGO35yfCU9fBDWHYd2zsPaf4Oo5/pscRFEUEg3eJ76uciJJCCGEcJ4UkoQQQghxzvjD5qOYrSrvfvNCvr4kdtSx68uTQwBbEWgsmjv7uPulLNa/mEWPyTKmteyRXdZMhJ8HBh/3Ua/1cXfhh5clkVXazMbDNRO+tz6zlRc/L+XCuEDHp4HlfQiv3wg+kfCNHZB+w8RscgiJBlvuUoSfBxF+TpyiEkIIIQQghSQhhBBCnCNMFivZZS2sSQsjPdLPrntSwnwI9nZj2xjb2z46XI3JolLU0MlfMic+jyi7vNmu00gDrp8fRWq4D4/+5yjdfRNb6Np0pJrath7uXTrdsRsL/gvvrIeIebB+MwTFT8wGhzGQk7Qg5uyb1iaEEEKcS6SQJIQQQohzQk5VK90mCwsdaEvSaBQyEoPZkd+A2WJ1+tnvZleRHOrNrRdM47ldJezrHyE/Eapbuqlp7WHeNPuKZQBajcKvrkqlurWHf31RMmF7U1WVZ3eUEB+iZ1lisP03ln4Ob95qy0G69e1xn8pmjxOFJGlrE0IIIcZECklCCCGEOCdk9RdvFjgYlLw8OYS2HjMHKlqcem5hfQeHKlq4bl4kP1s9gwg/D/7n7UN09ZmdWm802eXNgH35SIMtjA1gQYw/Hx2auPa23UVN5NW0cc9FsadMyBtR1X547Ubwmwa3vQceU3Mi6ILYAH56RTJrZ0dMyfOFEEKI88WohSRFUb6jKIqcARZCCCHElNpb0kxskBfB3m4O3XdRQhBajcK2Y861t713oBKNAlfPDsfLTcefrptFaVMXj22emBa3/WXNuLtomBHm4/C9l6WGcrSmjQpj1wTsDJ7dWUyQ3pVr5thZjKnLhVfWgac/3P4+6B04xTTOdFoN31gWh95NN2V7EEIIIc4H9pxIMgBZiqK8pSjK5cpoqZZCCCGEEOPMalXZV2ZkvoOndMAWRj0/2p9txx0P3LZaVd7LruLixGBCvG3B14vjArnrwhhe/KKU3UVNDq85muzyFtIj/XDROn5wfGWKAYAteXXjvS0K69uWBgBWAAAgAElEQVTZdryBOxbH4O6iHf2GpiJ4+Rpw8YA7PgRfOQkkhBBCnA9G/QlFVdWHgQTgeeAuoEBRlN8rihI3wXsTQgghhACgsKGDli6T0/k2y5NDOFrTRm1rj0P37Slporq1h3VzI095/UeXJxET6MkP3zlER+/4tbj1mCzkVrUyz4mCGUB0oBdJBm8y82rHbU8DnttZgruLhtsWRY9+cUsFvHQ1qBa44wMIiB33/QghhBBiatj1qy5VVVWgtv/DDPgD7yiK8tgE7k0IIYQQAoC9JbZ8pIUO5iMNWJ4UAsB2B6e3vbu/Cm83Hav6T/oM8HTV8efrZ1HV0s2j/znq1J6GcqSqFbNVZe4051MFVqYY2FtipLmzb9z21dDey4YDVVw7N5IAL9eRL26vg5evht52uP09CE4at30IIYQQYurZk5H0XUVR9gOPAZ8DaaqqfhOYB1w7wfsTQgghhCCr1EiwtxvRgZ5O3Z9o0BPu6842BwpJXX1mPs6pYXVa2JCtXPNjArjnolj+/WU5Owscb5sbyv6y/qBtBya2nW5VqgGrCp86mQk1lFf2lGGyWLn7olFOFnUZ4ZVroL3WNp0tbNa47UEIIYQQZwd7TiQFAOtUVb1MVdW3VVU1AaiqagWunNDdCSGEEOKs02e2klvdOqnP3FfazMKYAJyNalQUhYzkEHYVNNJnttp1zye5tXT1WVg3d/hsn4dWJREX7MWP3zlMW4/Jqb0Nll3WTEygJ4F6xwLFB0uL8CXUx33c2tt6TBZe3VPGpckGpgfrR7iwDV5dB02FcNNrMO2CcXm+EEIIIc4u9mQk/UpV1bJh3hu/s9xCCCGEOCe8kVXOlf/YRXFDx6Q8r6qlm6qWbhbEjG2I7PKkEDr7LOwrM9p1/YbsKiL9PVgwQjudu4uWP18/i9q2Hn63MW9M+1NVlezyZuY6mY80QFEUVqYY2JHfSI/JMqa1AN7NrsTY2ce9S0c4jdRaBa/dCDWH4fqXIG75mJ8rhBBCiLOT4+NAhBBCCPGVdrC8BVWFzAmYDDaUrP58JGeDtgdcGBeIq1bDdjumt9W29rCrsJF1cyPRaEY+BTVnmj/fWBbHW/sq2TaGdrIKYzeNHX1jykcasCrVQLfJwq6CxjGtY7WqPL+zhPRIXxYO9fVvr4OPfwxPzIHKLFj3DCSvHtMzhRBCCHF2k0KSEEIIcR6zWlUefv8Im3Nqxm3N3Oo2YGJGzA9lb6kRbzcdyaE+Y1rHy03HwtgAu4o97x+sQlVh3Rz7RtZ/b0UCiQY9P9lwmNYu51rc9pfbCmYOTWyzWqD6IOx+Et64Ff6UAC9eySLTXnzcNWNub/v0WD3FjZ3cs3T6qW2FnU2w5Zfw91mw91lIvwG+sx/SrhvT84QQQghx9tNN9QaEEEIIMXFe3l3Kq3vKqTB2c/nMsDGv12OyUNjQgbebjuzyZhraewn2dj7Pxx5ZJUbmxfijHeVkkD0ykoL53aajVBi7iAoYOrhbVVXe3V/JvGh/YoK87FrXTaflL9fP5ponP+fXH+Xy+I2zHd5bdlkLejcdiQbv4S8y90H1ASj7HMq+gPI90Ndue88/FqZnQNkXuLx1C1tco3gu9wosVyWgdXMupPzZncVE+HlwxcxQ2wvdLbD7f2HPk9DXCWnXQ8ZPIDDOqfWFEEIIce6ZkhNJiqJ8X1GUXEVRchRFeV1RFHdFUWIVRflSUZRCRVHeVBRllNmyQgghhBhJaWMnf9h8DLCNlVdVdcxrHqttx2JVWX9RLKoKW49O7Kmk5s4+Cuo7RswpcsTy5BAAtucP396WU9VGQX3HiCHbQ0mL9OXby+PZcKCKzFzHTwLtL2tmdpTfmQWz3g7Y8Sd48Ur4QxS8sAq2/hpaK20nga59Hn5wFL57EK59tv/P53Hz9OHn6jNYH0+FTx+BDsfa7o5UtvJliZGvL4nBxdxp28Pf02HHYxB/KXxrt+15UkQSQgghvlImvZCkKEoE8CAwX1XVmYAWuAn4I/BXVVXjgWbg7snemxBCCHG+sFhV/uftQ7hqNTywPB5jZx9VLd1jXndgWtt18yKJ9PeY8JykrNL+fKRxKiRND/JiWoAn20dob3s3uxJXrYYr08IdXv+B5fGkhPnws/eOYOzss/u+zl4zx2rbmDvN79Q3ao/AMxm2QlBvG8xfDze+Cj8sgm/vgSsft7WT+Qzaq9YF0q5D+43t3Gr+BSUeqbYi0F9nwgcPQP2x0Tdk7uXtT/ew0K2c26wf2FrYPv0dTLsQvrETbngZQmbY/fkJIYQQ4vwxVa1tOsBDURQT4AnUAJcAt/S//xLw/4CnpmR3QgghxDnuX5+XsK+smcdvmEVcsJ5/bivkSGUrkf7OtTgNyK1uw9fDhUh/D1alhPLql2V09prxcpuYHymySo24ajWkR/qOy3qKorA8KZg391XQY7Lg7qI95X2TxcqHh6pZkRKCr6eLw+u76jT8+fpZrP3fXfzygxz+ectcu+47VNGCVeXkxDZVhazn4JOfg2cA3PkRxC51aC/eHq7opl/MvU3z2P7AX1H2PAkHX4MDr0D8Stupoi4jdDb0fzSe/LO3ld8AKMA2IO4SWP4wRM5zaA9CCCGEOP9M+okkVVWrgD8D5dgKSK3AfqBFVVVz/2WVgGPnyYUQQggBQGF9B499cpwVMwx8bU4EyWHeuGgVjlS1jnnt3KpWUsJ8ToyY7zNb2TFCm9hY7S1tZlaU7xkFn7HISA6hx2Tly/5pcIN9drwBY2cf6+ZEOr1+SrgPD16SwMbDNWw6bF/I+f6yZgDmRPlDdzO8eRv8539g+jK4f5fDRaQBq1INlDV1UWAJhSv/Ct/Pg+U/h5qDsPknsPPPcGwjGItB5wrhs2H2zWyP+AY/M99D01Uvwje/gNvfkyKSEEIIIYApOJGkKIo/sBaIBVqAt4HLHbj/PuA+gGnTpk3EFoUQQohzltli5aG3D+HpquX362aiKApuOi2JBu8xF5LMFivHatu5fVE0AAti/PHzdCEzr44r0sYe5H26rj4zuVWt3Hfx9HFdd/H0QNx0GrYdq2dZYvAp7204UEmAlyvLkoKHuds+38yIIzOvjoffP8LC2IBRA8mzy5tJCNHj25gN794N7bWw6hFY9C3QOP97vxUzDPz8vRwyc2ttId5egbDsR7Dke7ZWOQ9/0JxapGvvMfGdRz9leWoIgfPmOP1sIYQQQpyfpiJsewVQoqpqg6qqJmADsATwUxRloLAVCVQNdbOqqs+oqjpfVdX5wcFj+yFPCCGEON88s7OYQxUt/HbtTEK83U+8nh7py+HKsQVuFzV00mu2MjPC1mam02q4NNnA1qN1mCzWMe/9dAfLWzBbVRbEjk8+0gB3Fy0XxgWy/fipOUmtXSb+m1fP1bPCcdGO7UcknVbDX26YRWevhYffPzLi191qVTlQZuQHHhvhX1fYCjt3fwIXPjCmIhKAwced2VF+bDk9y0rnCl5BZxSRAN7MqqC918y9S8e3gCeEEEKI88NUFJLKgUWKongqiqIAlwJ52Drwr+u/5k7ggynYmxBCCHHOOl7bzt+2FLA6LZQr0089IZQW4Udrt4kKo/OB2wNB26nhPideW5lioK3HTNYQbWJjtbfUiKLAvIHcoHG0PDmE0qYuSho7T7y28Ug1fRYr182zo61NVW1ZQpX74Mg7sPMv8OGD8NLVtmDqv88mcfu3eCVxJ71HP+GTLw8Pu1RZeQn/sPyWK+qegZS18I0dEDF+bWSrUg0cqmylpnX0773ZYuVfn5dyQWwAaeOUSyWEEEKI88ukt7apqvqloijvANmAGTgAPANsAt5QFOV3/a89P9l7E0IIIc5VJouVh94+iLe7jt+utbW0DTYQVn2kqpVpgc4FbudUteHuomF6sP7EaxcnBuGm05CZV8eF8UHOfwJDyCo1MiPUBx93x0OvR5ORGALksu1YPbEXxQKwIbuKRIP+lELZCd0tsPcZqD4AzaXQXAamzlOv8QwC/2hbEchqhprDXND8IRe4Apsfw7LTgDZ8FoTNgtB0CEuHpiLC3rqHUE0H9RmPEbLsPjjtezdWq1IMPLb5OP/Nq+P2xTEjXvufnFqqWrr59dWp47oHIYQQQpw/pmRqm6qqvwJ+ddrLxcDCKdiOEEII4bR/f1lGQog3C8e5/cpRT20vIqeqjadvm0ug/sw8nkSDN65aDYerWliT7lyeUW51KzPCfNBqThY6PF11LE0IZkteHb+6KuWMApazTBYr2WUt3LggalzWO920QE/igr3Ynt/A+otiKWnsZH9ZMz+5IvnUz8HUbSsg7XwcelptI+/9YyB2ma1o5B8DftHgNw3c9Gc+qKeVqmN7eendD8mgmsWtlSiFW0G1nLikxS2WbykP887F68e9iAQQF6xnepAXmaMUklRV5dkdxUwP9uKS5JBx34cQQgghzg9TUkgSQgghzgeqqvK7jUdJDvPmvW8tmbJ95Fa38sTWAtbODufymUMXiVx1GpLDvDlS6VzgttWqklfdxto54We8tyrFwH+P1pFb3XYiP2mscqvb6DZZmB8z/m1tA5YnhfDynjK6+sy8l12JosA1s/uHxlrMcPDfsP0P0F4N8Sthxa8gNM2xh7j7EjF7JYaOeG7ZmMeflqdz/awgqMuD2kPQ18U9uxMJDvVDoxn/IhJgm7CXauD5nSW0dpvw9Rj6hNeXJUaOVLXyyNdmTthehBBCCHHum4qMJCGEEOK80NDeS7fJwoHyFiqbu6ZkD31mKw+9dQh/L9dR25HSInw5UuVc4HZFcxftvWZSw88sFF06IwSNApmnBzqPwUDm0sKYiTvptTw5hD6zlc8Lm9hwoIqL4oMI9XGDvA/gyUXw0YPgGwF3bYLb3nG8iDTI1y+MYWFMAL/5KI+aLiByHsxfT+ucb5DTYGLutIkrmIGt2Ge2qmcEjA/23M5iArxcuXauHRlRQgghhPjKkkKSEEII4aRy48ni0cdHaqdkD//4tIBjte08+rU0/DxdR7w2PdKX9h4zZU2OF71yq9sAmDlEISlQ78a8aP8zJ4ONwd5SI9GBnoT4uI9+sZPmx/jj5arl8S35VDZ3c19UBTx7Cbx1h22a2U2vwd1bIOaiMT9Lo1H40/XpmK0qP3rn8Ili3oHyZmBiAsUHmx3lT5DebdjvUVFDB/89Ws9ti6JxdzlzkpsQQgghxAApJAkhhBBOGijIBOld2Xi4etKff7iyhSe3F3Ht3EhWpBhGvT4tws92X5Xj7W251a3oNAqJoUPkAAGrUkI5WtNGhXHsJ7OsVpV9pUYWjOU0krkPSndByQ4o/RzKv7RNWKs+ADWHoS4Xt+ZCvjatG6/avbzq9geWfnE3dNTD2ifhm19A8ppxzSyKDvTiZ6uT2VnQyBtZFQBkl7egUWBWlN+4PWcoWo3CihkhbD/eQK/Zcsb7z+8qwVWn4Y7F0RO6DyGEEEKc+yQjSQghhHBSubELRYE7F8fwly35VBi7iApwbiKao0wWW0tbsN6NX16VYtc9CQY9rjoNRypbuHrWmVlHI8mpaiM+RI+bbujTKitTDDzyn6Nsyatjff8UNGcVNXTQ3GVyvq2tsxHeuAUqvhz10t8BuEGn1hdW/B7m3w0uE3cK6tYLovk4p5bfbczjovggssuaSQ71wctt4n8kW5Vq4I2sCvYUG1mWGHzi9aaOXt7dX8m6OREEDRHULoQQQggxmBSShBBCCCeVG7sI83HnmjkR/GVLPpuO1HD/srhJefbhyhYK6jv4242zhw1PPp2LVkNKmA+HnQjczq1uO6X4cLqYIC8SDXoy82rHXEjaW2rLR1rgzCS8+mPw2g3QUQdX/R0C4mwT0qxmsFptf6oWsNpea+/u5anPSlhz7Z2kTp+YCXGDaTQKj12XzmV/3cGP3jnMkapWrhkiwHwiXBgXhKerlszc2lO+l6/uKafXbOWepWP7vgkhhBDiq0EKSUIIIYSTyo1dTAv0JCrAk1lRfmw6PHmFpPy6DgCHQ5rTI33ZkF2F1araPZmrvq2Hxo5eZkb4jHjdqpRQntxeSHNnH/5eI+c1jSSrxEiQ3o2YQAdPdxV9Cm/dCTp3uOs/tkDrUXgDP1ro3D6dFenvycNXpvDTDUeAic9HGuDuomVZYjBb8ur47VrbZLYek4VX9pSyPCmY+BDvSdmHEEIIIc5tkpEkhBBCOKmsqYtp/a1sV6WHcaSqldLGzkl5dn5dOx4uWiL9PRy6Ly3Cl45eMyVN9u8zp9p2gmmoiW2DrUo1YFXh02PDTwazR1ZpMwtj/VEcySfKeh5evQ58o+DeT+0qIk2lmxZEnTgVNG/axE2mO92qVAP17b0ncrLeP1BFY0cf9y6dPml7EEIIIcS5TQpJQgghhBO6+sw0dvQSHegFwBVpYQBsOlIzKc8vqOsgPkRv96miAWmRtmLQEQfa23KrbBPbZoSNfGIlLcKXUB93MvOcn2BX3dJNVUu3/UHbVgts/ils+gHEXwrrN4PfxLeojZWiKPztxtk8fdtcpjl68moMLkkyoNUoZObWYrWqPLerhJQwHxbHBU7aHoQQQghxbpNCkhBCCOGE8v7pZAPh2hF+HsydZmtvmwz5de0kGhxvRYoP1uPuonEoJym3uo3YIC+83UfOYlIUhZUpBnbkN9JjOnMymD2yBvKR7Ckk9XbYQrX3PAkX3A83vQ7uI7ffnU38vVy5fGbYpD7T19OFC2IDyMyr47P8BgrrO7j34ljHTn8JIYQQ4itNCklCCCGEE8qbbIWk6EFT2takh5NX00ZxQ8eEPru1y0R9ey+JBr3D9+q0GlLDfTlS1WL3Pbk1raSE21egWZlioNtkYVdBo8N7A9hbYkTvpmNG2CjPa62EFy6HgkxY/We44o+glehHe6xKMVBY38HvNuUR6uPOlemTE/YthBBCiPODFJKEEEIIJwycSJo2uJA00N42waeS8uvbAZw6kQS2FrTc6jYsVnXUa1u7TFQYu0m1s5C0aHog3m46p9vbskqNzI32RztSy15VNjx7KTSXwi1vw8J7nXrWV9WKFAMARQ2d3LUkBhet/DgohBBCCPvJTw5CCCGEE8qNXXi76/DzPNnuFerrzoIY/wnPSTpeayskJThxIglsk9u6+ix2nZzKrbG1wM0cJWh7gKtOw/LkELYerberUDVYc2cf+XUdLIwZYYrZ0Y/gX6tB6wp3Z0LCCoeeIWxT41LDffBy1XLzwmlTvR0hhBBCnGOkkCSEEEI4YWBi2+nZMmvSwjhW205h/6mhiVBQ146Xq5YIP8cmtg1Ii7AVhezJScqrtgVt23siCWztbU2dfWSXNzu0r31ltuuHzUfa8xS8eTsYUuHerWBIcWh9cdKj69J46rZ5+HqMnHslhBBCCHE6KSQJIYQQTqgwdhE9xLSt1WlhKApsnMD2tvy6DuIN3k4HJE8P1uPpquVI1eiFpJyqVkJ93AnUu9m9fkZSMC5a22QwR2SVGnHVapgV5XfqG1arbTLb5p9A8hq48yPQhzi0tjhVeqQfFycGT/U2hBBCCHEOkkKSEEII4SCLVaWiuevExLbBQnzcWRgTMKE5SQX17SSGONfWBqDVKMwM97WrkJRb3ebQaSQAb3cXFscFkZlXh6ra3962t8RIeqQv7i7aky+auuHtO05OZrvhZXA98+suhBBCCCEmhxSShBBCCAfVtvVgsqhEB3gN+f6V6WEU1HeQXzf+7W3Gzj4aO/qcDtoekBbpS251K2aLddhruvssFDV0kBphXz7SYKtSDJQ1dVFQb98Eu64+MzlVrSyIHdTW1tkEL10NRzfCZY/aJrNptMMvIoQQQgghJpwUkoQQQggHlTV1AqdObBvs8plhaCaovW2gOJUYOsZCUoQvPSYrhSMEbh+tbcOqOpaPNGBl/2Qwe9vbDpa3YLaqLBzIR2oqgudXQO1huOElWPwth/cghBBCCCHGnxSShBBCCAdVGLsAhsxIAgj2dmPR9EA2Hq52qLXLHgUDhSQnJ7YNSIscPXA714mg7QEGH3dmRfmxJa/OruuzSptRFJgb7Q8VWfD8SuhugTs+hJS1Dj9fCCGEEEJMDN1Ub0AIIYQ415Q1daHTKIT5ug97zZr0MH7+Xg7HatuZEeZ4IWY4+XUdeLvpCPUZ/tn2iA30Qu+mI6eqlRvmRw15TV51K36eLk5Ph1uVYuBPnxznlT1luOtG/t1VZl4tSQZvfEs3w7v3gHco3PouBMU79WwhhBBCCDExpJAkhBBCOKjc2EWEvwc67fDFkctTQ/nlB7lsOlwzroWk43XtJBj0Tk9sG6DRKMyM8Bn1RFJquI/Tz1qdFsbjW/L5xfs5dl3/TNI+ePOvEDEPbn4D9DJVTAghhBDibCOFJCGEEMJB5cauYfORBgTq3bgwLpBNR2p4aFXimAs/AKqqUlDXzmWpoWNeC2w5SS/tLsNkseJyWlHMZLFyrKadu5bEOLNRMHUT69bB/m/G0tPZhmLqRGPqQjF3oZi6UEzdaE78vQtdWxmehZsgaQ1c+5xMZhNCCCGEOEtJIUkIIYRwULmxizVpYaNetyYtjJ9sOEJudRsznZh8drrGjj6au0wkjHFi24C0SD/6zCXk17WTGn7q/grrO+izWIfOR6o/Cnufge5m6G0f+kO1AOBnz0Z0HuDqBYsfgJW/kclsQgghhBBnMSkkCSGEEA5o7TbR0mUaNmh7sMtSQ/n5+zlsOlIzLoWk8QraHpDev6ecqtYzCkkng7ZP23fxdnjzdrBawCcc3LxtH17B4OZz8r8Hf7h6gYvnoD89wcXr5H9rZPaHEEIIIcS5QgpJQgghhAMGJraN1toG4O/lypL4IDYdruFHlyWNub0t/0QhaXxOJEUHeuLtruNwZSs3Ljj1vZyqVjxctMQGeZ188eBr8OF3IDABbn0b/IYO6RZCCCGEEOcv+RWgEEII4YCypoFCktcoV9pcmR5GubGLI1XDh1rbK7++A18PF0K83ca8FoCiKKRF+A65t7zqNmaEeaPVKLbMo+1/gPe/CdFL4O5PpIgkhBBCCPEVJYUkIYQQwgHlAyeS7GhtA7gsJRQXrcKmwzVjfnZBXTuJ4zCxbbC0SF+O1rTRa7aceM1qVcmr6c91MvfBB9+G7Y/CrFvg1nfAfextekIIIYQQ4twkhSQhhBDCAeXGTgK9XNG72dcd7uvpwkXxQWw8XIOqqk4/V1VV8us6xi1oe0B6hB8mi0p+bceJ18qMXXT0mpkdrMBr18PBf0PGT+GaJ0HnOq7PF0IIIYQQ5xYpJAkhhBAOKDd2EWVHPtJgV6aHU9XSzaFK59vbGtp7ae02kRgyPkHbA9IjbaeLBre35Va3EkYTq7O+DqW74JqnIOMnMI4noYQQQgghxLlJwraFEEIIB5Q1dTEv2t+he1akGHDVath4qJrZUX5OPfe4s0HbfZ3w8Y+huxki5kL4XAifAx62fUT6e+Dn6cKRqhZgGgANBft4z+2XuHWZ4bZ3YXqGU3sWQgghhBDnHykkCSGEEHYyWaxUt3TztTkRDt3n6+HCxYlBfJxTy8/XzHAq4yi/ztZ65lBrW287vHYjlO8Gv2g4tvHke4HxED4XJWIeXwty42BF/yHlgv9yU859tGv0KOs3gSHV4b0KIYQQQojzlxSShBBCCDtVNXdjVWGag61tAJfOMPDfo/UU1juXc1RQ146/pwtBejszinpa4dXroGo/rHsW0q6znUqqPmB7reoAlOyAI2/xK8CkarE+OQOl4ShlahRvJz7OL6SIJIQQQgghTiOFJCGEEF8J/5+9+46Tqjz7P/45s7O9d9gGy1Z6byLKUtSoWLCXaJom0cQSk5j+pP/SnicmMWqIxpKIHWPBhrogTVgElr6U7cv23ndn5vz+GBYp22Y78H2/XvvCnTnnPvcshujX67pum93B6zuL2Hesjh9fMR53N9fHBJ44sa0PQdKilHAA0rPK+hQkHSqtJynSv3fVTM3V8O8VULIbbngaJlztfN07GBIWO7861B1jx5YP2bJhLXdYq7COv57rdlzC98cmuLxHERERETn3KUgSEZFzWrvdwes7ing0/ciJIOiKKaOZPTbE5bXyjt8/JtTX5XtHB3qTOsqf9IPl3H2RayGNaZocLm3gmt601DVVwXNXQ9kBuPHfkHp599cHRBE59wb+mB5KwJRJRAV60bhjOxOjAlzao4iIiIicH3Rqm4iInJPabA5e2JZP2p/W8f3XdhPgbeX/bpwKwLacqj6tWVDVhIfVQoS/Z5/uT0uNICO3ivqWdpfuK6lrob7VRnJkDye2NZTDM1dCeRbc8kLPIdJxUYFehPh6sKewhr1FdRgGjB+tIElEREREzqSKJBEROae02uy8sr2Qx9cdpaimmakxgfzy6omkpURgGAaPrTtKRm7fgqS8ykbiQnywWFwflg2QlhLB4+uOsulIBZdNGt3r+3o1aLu+xFmJVJ0Ht74ECWm9Xt8wDCZHB7K7sJaapnbiQ33x9dQ/IoiIiIjImfRPiSIick5oabfzyvYCHlt3lOLaFqbHBfGbaydxcXL4KXOFZo8N4e3MY9gdJm4uBkL5Vc19mo/UYUZcEP5eVtIPlrsUJB0urQcguasgqe4YPLsc6orhtlcgfqHLe5sSE8hj6yqobGxj3rhQl+8XERERkfODWttERM4CxbXN/PadAxwsqRuQ9crrW/nz2kNsPFwxIOsNt3VZZSz64zp++sY+ooO8+fdX57D6mxew6HgV0snmxAdT32pz+Wdpmib5xyuS+srqZuGi5HDSs8owTbPX92WV1BPm50GIbycnttUUwNOXQ30pfHF1n0IkgMnRgdgdJuX1rZqPJCIiIiJdUkWSiMhZ4KkNOTy5MYeVn2Rz2cRR3LckiQl9+Jf9sroW/vFJNs9vzaOl3UGAl5UPHryYUYFeg7DrodHSbufh13bj52nl+a/N5YKE0G5PNusYsp2RU8XEqMBeP6eqsY3GNn68Jy0AACAASURBVHu/giRwtret2V3M/uK6Xj//UFkDSRGdVCNV58Izy6GlFu74L8TM6vO+Jsd8vhcFSSIiIiLSFVUkiYiMcA6HyTt7ilmQGMq3Fyey6UgFl/91A3c/t529RbW9WqOktoWfv7mPhX9I55nNuVwxOYpnvjybNruDH67e7VJ1zEizams+pXWt/ObaySxIDOs2RAKICfYhKtCLjNxql57z+Ylt/QuSLk4OB2BdVnmvrjdNkyOl9WcO2i7d76xEaq2DO9/oV4gEMCrAizA/5xBxVwI2ERERETm/qCJJRGSE21lQw7HaFr53WQrXTo/haxeO41+bcvjXphw+2F/K0vER3LckiSkxQWfce6ymmSfWH+XFjALsDpMV06O5Ny2RsWHO4+sfviyVX7y1n1e2F3Lj7Nih/mj91txm5/H1R5k/LtSluT6z40PYfLQS0zR7DJ46FBwPkvpbkRTu78nk6EDSD5Zxb1pij9cX1TTT2GY/ddD24Q/hlS+Bhw986W0YNblfewLnwO1psUEcLKnrvIVORERERAQFSSIiI96a3cV4WC0sHR8JQKCPOw8uS+arC+N5ZlMuT23M4apHN5GWEs59S5KYHhdMUU0zj6Uf4ZXthThMk+tnxnDPokTiTqumuXP+WN7bW8Kv3t7PgqQwooO8h+Mj9tnzW/Mor2/l77fOcOm+2WNDeGPXMfIqm06Eaj3Jq3QGSbH9DJIA0lLCeTT9CDVNbQT5dB/aHD5+YlvKqONB0rZ/wrvfh4iJcOuLEBjT7/10+MXVE6lvaR+w9URERETk3DMsrW2GYQQZhvGqYRgHDcM4YBjGfMMwQgzDWGsYxuHjvwYPx95EREaSjra2Rcnh+Hu5n/JegJc79y1JYuPDaXzv0hR2FtRw7WObufrRjSz6Yzovby/g+lkxrPveIn533ZQzQiQAi8Xgj9dPxW6a/OC1s6vFranNxhPrj3JhYhhz4kNcuvfEnKTcql7fk1/VRGSAJ17ubi49qzOLUiNwmPBJL4adH+o4sS3MB959GN75LiRdAl95b0BDJIDoIG9SR2k+koiIiIh0bbhmJP0FeM80zVRgKnAA+AHwkWmaScBHx78XETmvfZZfTUldC1dM6fqoeH8vd+5NS2Tjw4t5+LJUGtvs3DQ7lnXfS+O3104mJrj7Cpq4UB9+ePl4NhyuYNW2/IH+CIPmP5/mUdHQxoPLkly+NynCj0Bvd9eCpMomxoT0rnrpDLY2OLwW9r8JtjamxgQR7OPOuqyyHm89VNrAWD8HgW98EbY+AfPuhZtXgadfj/eKiIiIiAy0IW9tMwwjELgI+BKAaZptQJthGFcDi45f9iywDnh4qPcnIjKSrNldjKfVwpLjbW3d8fO08s1FCXxzUYLLz7l9bhzv7y3hN2sOcFFS+IC0bw2mxlYbT6zP5qLkcGaOca0aCZyVWLPHBrs0cDu/qokFiWG9f4i9HbLXw77X4eBbzpPVAPwicZv5ZZbHz2JNVjkOh4nF0vWcpuriozxn/BKO5MOVf4ZZX+n9HkREREREBthwzEiKB8qBpw3DmAp8BtwPRJqmWXz8mhKg539rEhE5h9kdJmv2FLM4NQI/z8H949owDH5//RQu/fMnfO/VTFZ9bV634cZwe25LHlWNbTy41PVqpA6zx4bw4YEyyupbiPD36vbalnY7JXUtPZ/YZm+HnE+Oh0dvQ3M1eAZA6hUw8VowLLBtJaz/PT833Jhlm83RHZA0cyl0MvTbUbCd31c9gL/VDre/CgmL+/x5RUREREQGwnAESVZgBvBt0zS3GobxF05rYzNN0zQMo9NBHYZh3A3cDRAXFzfYexURGTYZuVWU17d229Y2kKKDvPnpleN5+LU9PLclly8tiB+S57qqodXGPz45yqKUcKbH9X2c3uzjc5W251Zz+eTuf8aF1d2c2Ga3Qe4GZ3h04C1orgIPf0i93BkeJSwGq+fn1yctg8qjtG35J4syniXg7eth+xSYczdMvh7cjw883/c6rP4GzaY/2y74J1ckpPX5s4qIiIiIDJThCJIKgULTNLce//5VnEFSqWEYo03TLDYMYzTQ6eAI0zRXAisBZs2adfZMhRURcdGa3cV4uVtYnBoxZM+8cVYs7+4t4XfvHWRRSkSvTzQbSs9uzqWmqZ0Hlyb3a51JUYF4uVvYllPVY5DUcWLbGQPLm6rg6S9A+UFw94WULzjDo8Sl4N5NlVNoAl5X/o4v5y3jwuZ07nV8BG9+C9b+FGbcAVYvWP976sJmcE3h3fwzcWq/PquIiIiIyEAZ8mHbpmmWAAWGYaQcf2kJsB94E7jz+Gt3Am8M9d5EREYKu8Pk3b3FLEmNxMdj6DJ/wzD43YopuLtZ+O4rmdgdIyuvr29pZ+Un2SxJjWBqbFC/1vKwWpgeG9yrgdv5VZ1UJNla4cVboSoHrl0J3z8K1z8F46/sPkQ6yQWpcfypcj4VX0yHL62B+Itg86Ow/vcw+UZeGv8oVQSQGOHfp88oIiIiIjLQhuvUtm8DzxuGsRuYBvwW+B2wzDCMw8DS49+LiJyXtmZXUtHQxpVD1NZ2slGBXvx8+US251Xz9KacIX9+d57elEttczsPLutfNVKH2fEhHCiuo76lvdvr8iqb8PVwI9TXw/mCacIb90L+FrjmMZh60+ctaS5IS43ANOGTwxUw9kK48Tl4YDfc8hKsWMnBinZGBXgR6O3el48nIiIiIjLghiVIMk1zl2mas0zTnGKa5jWmaVabpllpmuYS0zSTTNNcappm789kFhE5x7y9pxgfDzcWpQxdW9vJVsyIZun4SP7wfhZHyhqGZQ+nq21u58kN2SybEMmk6MABWXPO2BAcJnyW1/3pbQVVTcSG+GB0DMRO/y3seQUW/9Q516iPJowOINzfk/Ss8s9fDIyBlMvAMDhUWk/yKFUjiYiIiMjIMVwVSSIi0gWb3cF7e0tYMj4Sbw+3YdmDYRj8dsUkfDzceOiVTGx2x7Ds42T/2phDXYuNB/pxUtvppscF4WYxemxvy6tq+vzEtl2r4JM/wPTbYeFD/Xq+xWKwKDmcTw6Vn/EztjtMjpQ1kBzh169niIiIiIgMJAVJIiIjzJbsSqoa27iihwHQgy3C34tfXj2JzIIaVm7IHta91Da186+NOVw2cRQTowamGgnA19PKxKgAMnK6rkhyOEwKqpqc85FyPoE374P4i+HKR6CjQqkf0lIjqG1uZ1dBzSmvF1Q10WpzkBypiiQRERERGTkUJImIjDBrdhfj6+HGopTw4d4Ky6eMZun4SB5fd5Q22/BVJT21MZv6Vhv3D2A1UofZY0PYVVhDq83e6ftl9a202hxM8iyDl26H0ATnLCO3gZlbdGFSGG4Wg/SsUw8rzSqtByApUhVJIiIiIjJyKEgSERlB2u0O3ttXwrIJkXi5D09b28kMw+Cm2bHUt9jYljM8o+tqmtr416ZcLp88ivGjA/q3mN0GNQXOYdnHzR4bQpvNwZ7C2k5vya9qIoQ6Ltn5LXDzgFtfBu/+nRh3sgAvd2aNCSb9YPkprx8+ESSpIklERERERg4FSSIiI8imIxXUNLVzxZSo4d7KCQuTwvB2d+OD/SXD8vx/bsimsc3G/Uv6cVKbaULWe/DEAnhkEvxjIWQ8BS11zB4bDMC2LuYkFZRV8qTHn/BsKXeephY8pu/76MKilAj2F9dRUtty4rVDpQ1EB3nj52kd8OeJiIiIiPSVgiQRkRFkze5i/D2tXJQcNtxbOcHL3Y2FSWGs3V+KeVIlz1CoamzjmU25XDF5NCl9Pb2saAc8uxxeuAns7ZD2YzCBNd+B/00l9OPv8YWQY2R0VnHlcDBp28NMM45iv3YlxMzs1+fpSlqqs41x/aHP29sOldarrU1ERERERhwFSSIiI0SbzcH7+0pYNjEST+vwt7Wd7JKJoyiubWFvUd2QPnflJ9k0tdv7dlJbdS68+lX4ZxqUHYDL/wT3boWLvw/f2ABf+xgmXQt7XuHxpu/yvby7cWQ8Da31n6/x8S9JqfyIx9zvxH3S1QP2uU6XEunP6ECvE+1tNruD7PJGDdoWERERkRFH9fIiIiPEpiMV1LXYuHLK8J7W1pklqRFYDPhgfwmTYwbu1LTuHClr4OlNOVw9NYrECBcClaYq2PC/sG0lGG6w8Luw4H7wOmm+kmE4q4tiZsKlv2XXmn/gmfkcljUPwNqfwOQbICAKNv6Z97wvZ3PwzXxr4D/iSdsxWJQSwVuZx2izOSiobqLNrhPbRERERGTkUZAkIjJCvLX7GP5eVi5MHP7T2k4X7OvB7LEhfLCvlIcuSRn059nsDh56JRNvDzd+dMX43t3U3uIMjzb8yVlVNO02SPuRMxDqjlcgoWnfYmHGBB67yM7lbe9D5otga4bEpfws+06WhPn2/0P1IC0lnBe25bM9r4q65nYAktXaJiIiIiIjjFrbRERGgFabnbX7Srl04ig8rCPzj+ZLJo4iq7SevMrGQX/Wyg3ZZBbU8MurJxHh79X9xQ4H7H4FHp0Na38KMXPgGxvh6kd7DpGOiwn2ZnSgN2tqYuGax+ChA3D90zRc/RRlTXZiQ3wG4FN1b0FiGO5uBuuyyjlU2gBAYoSCJBEREREZWUbmv62IiJxnNhyqoL51ZLa1dbhkQiQAa/eXDupzskrqeWTtYS6fPIrlPf088j+Fp5bC6q+BdxDc8Qbc/ipETnTpmYZhMHtsCBk5Vc6B4t7BMGkF+fXO/5scEzL4FUm+nlbmxoeSfrCMrNJ6YkO88fFQ4bCIiIiIjCwKkkREBkFhdRNl9S09X3jc27uPEejtzoLEkXNaGwCtDXD0Yzj6MbFBXqSO8ueDQQyS2u0OHnplF/5eVn519SQMw+j8wqocePkO+NelUHcMrnkc7l4P4xb1+dmz40Moq28lv6rpxGsdfz0mdPArkgAWpYRzuKyBT49WkuzKXCgRERERkSGi/9QpIjLAHA6T6x7fTHVjOzfPieUbFycQFeTd5fUt7XbW7i/lyilRuLsNc77fUuus8sndCHmboXgXOGzO90IT+W7I9dx3IIXKhlZC/TwH/PGPpR9lb1Edj982o/P1m2ucM5C2/gMsVlj0I7jgW+DR/4qh2WODAdiWU8WYUOd6+VXONr6haG0DSEuN4NdrDlDZ2EaSBm2LiIiIyAikIElEZIDtKaqltK6VWWOCWbU1nxe3FXDDrBjuSUskupNAaf2hchrb7FwxHG1tTVXOwChvkzM8Kt0LpgPcPCB6pvO0szELoLkatjzK0uzfsdHDj5I3PiX0qofAP3LAtrLvWC1/+/gwV02N4guTT/tZ2Nvhs2cg/bfOvUy7DRb/BAIG7meWHOFPoLc723OruWFWLOCsSArycSfQ233AntOdcWG+xIX4kF/VpEHbIiIiIjIiKUgSERlg6VllGAasvGMWTW02Hl93lJe3F/Dy9gKunxnDPYsST6lwWbO7mGAfdy5ICB26TZZnwdsPOgMkAKsXxMyGix92Bkcxs8D9tNBr0nWYeZvZ89zPWXh4JTzyNEy+EebfC5ET+rWdNpuDh17OJNjXg19cddJ8I9OEwx/ABz+BikMwdiFc+hsYPbVfz+uMxWIwa0wwGblVJ17Lq2wiboiqkcA5qyktJZxnt+SRrIokERERERmBFCSJiAyw9KxypsUGEeLrQYivB7+5djL3piXy+LqjvJRRwCvbC7luRgz3piUS7u/JhwdKuXpaNNahaGtz2OHTx+CjX4GHD6T9BOIXQtR0sPbQqmYYGGMXkD7tEX6bsZU1M/dh3b0Kdv0HEhbD/G85f+1qrlE3/vbxYQ6W1PPkF2cS3FIA2TuhaAfkb4ZjOyEkAW5+AVK+0Kf1e2t2fAgfHSyjvL6VcH9PCqqamBQdOGjP68wX54+hze4gZZSCJBEREREZeRQkich5zzRNjtW2dNp25qqKhlZ2F9bw4NLkU16PCvLmV9dM4p60BP6xPptV2/J5dUchM+OCaWqzD81pbVXZ8N97IH8LpFwOVz7Sp9a0ZRMieWZzJB+Nu5xLl/wYPnsatq6E/6yAkHEQlgIBUc6vwJjjfx3t/PX0Kqf6EnIyN+C5YQ3vhxaS8vYRZ+saOKukRk+Fy34Ps74CVo8B+CF0b/bYEAC251axbEIkhdXNXH56m90gS4zw5/+tmDKkzxQRERER6S0FSSJy3nsz8xjfeTmT9x9YSGI/T8r65FA5pglpKRGdvj860JufXzWRby5yBkrPb80jwt+TufEh/XputxwO2P4UrP0ZWNzhmidg6s19ruyZEx9CgJeVtftLuXTiVFj4EMz/Nux9Dfb/F2oLoeDTzwOhk3mHOEMl31CoOAx1RcQD33CzYPhOgJjlztlMUTMgYjy4Dc1sog6TowPxcrewLbeKSdGB2BzmkJ3YJiIiIiJyNlCQJCLnvU8OVWB3mLyVWcyDy/oXJKVnlRPm58nEqIBur4sM8OJnyydwT1oCbTbH4LW11RTAG/dCznpIWAJX/Q0Co/u1pLubhSXjI/noQCk2+/G9Wz1g2i3Orw5tTVBfDHVFUFvk/LXumPOroRTi5vNhXQyPHw7k/tuv46KJY/r5YfvPw2phWmwQGblVLB3vrNYaqhPbRERERETOBgqSRM4DNruD3717kDsvGKt/Ke5Ex3Dlt3cf44GlSRh9rNSx2R18cqicZRMisVh6t0ZYZ0fcDwTThJ3/gfd+CJiw/C8w484Bmy+0bEIkr+8sYnteNfPGdTEk3MMHQhOcX534LK+au5/YzE2zY0dEiNRhztgQHk0/wv5jdQCMCfUd5h2JiIiIiIwcQzDZVUSG256iWp7cmMMbu4qGeysjTmldC/lVTSRG+HG0vJGs0vo+r7WroIba5vYu29qGTF0xrLoR3vwWRE2Db26GmV8a0CHVFyWH42G1sHZ/aZ/ub26z891XMhkd6M2PLh8/YPsaCLPjQ3CY8N9dRbi7GYwK8BruLYmIiIiIjBgKkkTOA7sKagA4VNowzDsZebblOKuRfnR5KhYD1uwu7vNa67LKcbMYXJgUNlDbc93+N+GxeZCzwTmk+o43IXjgq338PK0sSAjlg/0lmKbp8v1/fD+LnIpG/nD9FPy9hnYOUk+mxwXjZjHYd6yO2GAf3HpZXSYiIiIicj5QkCRyHsg8EST1vdrmXLU9twofDzcuSgpnfkIoa3YX9ykYAUjPKmPmmGACvYchGGlrgjfvg5e/6Dw57RsbYd43wDJ4f8xfMnEUBVXNLldxpR8s4+nNOXxx3hgWJA5j6NYFP08rE0Y7Z1ypFVRERERE5FQKkkTOAx0VSdnljdjsjmHezciyLbea6XFBWN0sXDE5iuyKRvYX17m8TmldC/uO1Q1PW1vJHlh5Mex4Di58EL7yPoQlDvpjl4yPwDDgg329b287Wt7AfS/sZPyogBHX0nay2WOdp+jpxDYRERERkVMpSBI5x9U0tZFb6ZwB1GZ3kFvZNNxbGjFqm9s5WFJ3IjS4bNIo3CxGn9rb1meVA5CWGj6ge+yWacKnj8M/F0NLHdzxX1j6c+cJakMgwt+L6bFBfLC/pFfX17W0c9dz23G3Wlh5x0y8PdwGeYd9Nyc+GIA4VSSJiIiIiJxCQZLIOa6jGunGWTEAHFZ72wk78qoxTecpXQAhvh5ckBDKmj2ut7elZ5UxOtCLlEj/wdjqmRrKnQO13/sBJCxxDtQet2honn2SSyaOYm9RHcdqmru9zuEwefDFXeRVNvH3W2cQEzyyA5oLEsOYGx/CwqQhDAZFRERERM4CCpJEznGZBbUYBlwzPRrD0MDtk23LrcJqMZgeF3zitSunjCavsol9x3rf3tZud7DhcAWLUsIxBvBktC4d+QieWADZ6+ELf4RbXgDf0MF/bicumRAJ0OPpbf+39hAfHSzjZ1dOYH7C8OzVFQFe7rz09fmkjBqiYFBERERE5CyhIEnkHLeroJrEcD8i/L2IDfbhUJkqkjpk5FQxKTrwlBarSyeOwmoxeGv3sV6vsz23moZWG4sGez6SrQ0++An8ZwV4B8NdH8Pcu2EowqsujAv3IyHct9v2tnf2FPNo+hFumhXLHfMH/gQ5EREREREZOgqSRM5hpmmSWVjLtNggAJIj/dTadlxLu53dhbXMiQ855fUgHw8uTApz6fS2dVlluLsZg3sCWU0BPLUMNv8NZn0V7l4HoyYN3vNccMnEUWzNrqK2qf2M9w4U1/HQy5nMiAvil9dMHJqKLRERERERGTQKkkTOYQVVzVQ1tjH1eJCUFOlPdnkjbTad3JZZUEOb3XFi0PbJrpg8msLqZnYX1vZqrfSsMubEh+DnaR3obTrVFsGzV0JVDtz0PFz5f+DuPTjP6oNlEyKxOUzSs8pOeb26sY27/72dAG8rT9w+E0/ryB2uLSIiIiIivaMgSeQctqvQOWi7oyIpJdIfm8Mkt7JxOLc1ImzPqwZg1pjgM967ZMIo3N0M1uzp+fS2wuomDpU2kDZYbW31JfDscmishC++DuOvHJzn9MO0mCDC/T1PaW+z2R3cu2oHpbWtPHH7TCICvIZxhyIiIiIiMlAUJImcw3bl1+BptZwYGJwU6QfAIbW3sS2niuRIP4J9Pc54L9DHnYVJ4b1qb1uXVQ4wOPORGsrh2aucYdLtr0LMzIF/xgCwWAyWTYhkfVY5Le12AH77zkE2H63kN9dOOmWYuYiIiIiInN0UJImcwzILa5gcHYi7m/N/6gnhflh0cht2h8mOvOpO29o6XDF5NEU1zewsqOl2rXVZZcSGeJMQ7juwm2yqgueuhpp8uO1liJs3sOsPsGUTImlss7PlaCWvfVbIvzbl8KULxnLDrNjh3pqIiIiIiAwgBUki56h2u4O9RbUn5iMBeLm7MSbU97wfuH2guI76VtsZg7ZPtmxiJB5uFtbs7rq9raXdzqYjlaSlRAzsEOnmameIVHkEbnkBxl44cGsPkgsSQvH1cOPxdUf54et7mD8ulB9fMX64tyUiIiIiIgNMQZJIP5mmyZuZx6htPvPEquGUVVJPq81xYj5Sh6QIv/O+tS0jtwqAWd1UJAV4uXNRcjjv7CnG4ei8vW1bThXN7faBnY/UUgf/uQ7KD8LNz0NC2sCtPYg8rW4sSo1gW24VEf6e/P22GScq4URERERE5Nyhf8oX6ad9x+q474WdvLK9YLi3coqOlqzTg6TkSH9yK5totdmHY1sjQkZuFdFB3kQHdX/y2ZVTRlNc28KO/OpO30/PKsPTamHeuNCB2VhrAzx/PRRnwg3PQtKygVl3iNwyO46YYG9WfnEWIZ3MnhIRERERkbOfgiSRfko/6DzyPLtiZJ2ElllQQ6ivBzHBp4YlSZF+2B0mOSNsv0PFNE225VQze2zPA6CXjI/Aw2rh7S7a29ZllTM/IRRvjwE41r6tCVbdBIXb4bqnIPXy/q85xC5MCmPjw4uZEBUw3FsREREREZFBoiBJpJ/Ss44HSeUja4B1ZkENU2ODzpjdkxzpPMHtfB24nVvZREVDK7O7mY/Uwd/LnbSUztvbcisayaloHJi2tvYWePEWyN8M1/4DJl7T/zVFREREREQGgYIkkX6oamxjZ0ENhsGIqvCpb2nnSHnDGW1tAOPCfXGzGBwqOT/nJGXkOOcjzelmPtLJrpgSRVl9K9vzTm1vW3c8QOx3kGRrhZduh+z1cPXfYcoN/VtPRERERERkEClIEumHDYfLMU1YNj6S0rpWGlttw70lAPYU1mKanHJiWwdPqxtjQ33O24HbGblVBPu4kxjh16vrl6RG4Gm18PbuY6e8np5VzrgwX+JCffq+mZxP4KlL4MhaWP4ITLu172uJiIiIiIgMAQVJIv2QfrCMUF8PrpkeDYycqqSOQdtTYwI7fT850p/DZedna1tGbhWzxoac0fLXFV9PK4tTI3hnTwn24+1tzW12tmRXsqiv1Ugle50nsz27HBrL4fqnYeaX+raWiIiIiIjIEFKQJNJHdofJ+kPlXJwcTkK4s7plpAzcziyoIT7MlyCfzk/OSor0J6+ykZb28+vktrL6FnIrm3rd1tbhyilRVDS0su14W9yW7ArabA7SUsNd20BNPqz+OjxxIRRmwLJfwrc/g0krXFtHRERERERkmAxbkGQYhpthGDsNw3j7+PfxhmFsNQzjiGEYLxmGobOjZVC8sr2A+1/ciWmaPV/cjczCGqqb2lmUGsGYUB/nnKTy4Q+STNNkV0FNp/OROiRH+uEw4egIGxA+2DJynHOOejNo+2RpqeF4u7uxZo+zvS39YDne7m7M6e06TVXw/o/hbzNh3+twwbfh/kxYcD+4e/d8v4iIiIiIyAgxnBVJ9wMHTvr+98CfTdNMBKqBrw7LruSc91JGAW/sOsb+4rp+rbPuYBkWAy5KCsPL3Y3oIG+yK4Y/mCmpa6GsvrXLtjb4/OS2w+fZyW0ZuVV4u7sx0cXj6X08rCweH8G7e0qw2R2kZ5WxIDEMT6tb9ze2N8PGP8NfpsGWv8PkG+G+HXDJr8A7uB+fREREREREZHgMS5BkGEYMcAXw5PHvDWAx8OrxS54FdP61DLiWdju7C2sBWL2jqF9rpWeVMyMu+ET7WHyY74iYkbQr3zkfaVpc10HF2FBfrBbjvBu4vS2niulxQbi7uf5H35WTR1PZ2MbzW/MprG7uua1t98vw1xnw4c9hzHz45ma45u8QGNO3zYuIiIiIiIwAw1WR9AjwfcBx/PtQoMY0zY4jrwqB6M5uNAzjbsMwthuGsb28vHzwdyrnlMyCGtrsDkJ9PXhjVxHtdkfPN3WirL6FPUW1pKV+Pmx5XJgv2eWN/W6Z669dhTV4uFkYP9q/y2s8rBbGhfty6DyqSKpraedASR2zXZyP1CEtNQIfDzf++H4WQNeDtm1t8NYDsPouCBgNX1oDt74EkRP6unUREREREZERY8iDJMMwrgTKTNP8rC/3m6a50jTNWaZpzgoPd3HQrZz3pIqEvQAAIABJREFUMnKdw5IfviyVioY2NhzuWxi5Pst536KUz/8eHBfuR0OrjfKG1v5vtB925dcwPiqgx7arpEj/86oi6bO8akyT3s81Oo2XuxtLx0fS0GojJdKf6KBOZhvVl8CzV8JnT8OCB+Cra2Hshf3cuYiIiIiIyMgxHBVJC4CrDMPIBV7E2dL2FyDIMAzr8WtigP71HYl0YltuNcmRflwzPZpgH3de62N727qsciL8PZkw+vNZO/FhvsDwDty2O0z2FNUyrZv5SB2SI/wpqG6iue38OLlte24VVovB9Liuh5D35IopowFY1FlbW0EGrFwEJXvg+qdh2S/A0sMMJRERERERkbPMkAdJpmn+0DTNGNM0xwI3Ax+bpnkbkA5cf/yyO4E3hnpvcm6zO0x25FUze2wIHlYLV02NYu3+Umqb211ax2Z38MnhctJSInCO93LqCJKyh3FO0uGyepra7EzrRViSHOmHacKRsvOjvS0jp5qJ0YH4eFh7vrgLaSkRfGVBPLfPHXPqG589C89cDlZPZxXSpBX93K2IiIiIiMjINJyntp3uYeA7hmEcwTkz6alh3o+cYw4U19HQajvR2nTdzBjabA7e2VPs0jo78muob7Gd0tYGEB3kjYfVMqwDtzMLnIO2p8b0HCQlHT+57Wxsbyuta6G+pfcBYKvNzq7CGuaM7d9JaR5WCz9bPoHYEB/nC7Y2ePtBeOs+ZwvbXekwalK/niEiIiIiIjKS9f0/zQ8A0zTXAeuO/3U2MGc49yPnto75SB3DlidHB5IY4cfqHYXcMieu1+ukZ5VhtRgsSAo75XWLxSA+1Dlwe7jsKqghwMt6ojqqO2NDffBws3Co7OwKktrtDq56dCMeVgsv3DWPmGCfHu/ZXVhLm83R50HbnaovhZfvgIJPYcH9sOR/1MomIiIiIiLnvJFUkSQyqDJyq4gO8ibq+JBkwzBYMSOajNxq8ip7H/6kHyxj1thgArzcz3gvPsyX7IrhaxXbVVDL1NigU1ruumJ1c57cdvgsO7ltw+FySutaKa5p4eaVn1JQ1dTjPdtyTg0R+61wO6y8GEp2w/X/gmW/VIgkIiIiIiLnBQVJcl4wTZNtOdVnnNh1zbRoDANe39m7odvFtc0cLKknrYuj38eF+5Jf2YTN7uj3nl3V1GYjq6SO6bG9HyY9FCe35VQ08p2XdtHUZhuQ9V7bUUSIrwcvfX0+dc3tvQqTMnKrSIrwI9jXo+8PtrdDVQ5sXQlPfwHcPI7PQ7qu72uKiIiIiIicZRQkyXkht7KJiobWMypSooK8uSAhlNU7ijBNs8d11mWVA5CW2nmQFB/mi81hUljd3P9Nu2hvUR0OE6a6ECSlRPpRWN1MY+vAhDyd+eeGbFbvLOK/O4/1e63a5nbW7i/lqqlRzBwTzKq75tHQauOmf2zpsqrM7jD5LLea2fG9qEZqqYPiTNj/Bmx8BN56AJ67Gv4yFX4dCX+dBu9+zzkP6e51mockIiIiIiLnnWGdkSQyVDJOtDadOWx5xfQYHnolk8/yqpnVQ+tT+sEyooO8SYrw6/T9ceEdJ7c1MLYXc4oG0q6CasC1IKlj4PbhsgamuXBfb7W023k70xkgPb81j1vmxPaq7a4r7+wpps3mYMWMaAAmRQey6q653PbkVm5e+Skv3DXvjJ/7wZI66lttnf7en5D5EnzwE2gsO/V17xAIHgvRM52VR8HxEJoAsXPVyiYiIiIiIuclBUlyXtiWW0WwjzuJnQRAl00axU/+u5fXdhR1GyS12uxsOlLBNdOjuwxDxoU5188ub2Rx6sDsvbcyC2qJCfYmzM+z1/ckn3Ry22AESR8fLKOuxcalEyN5f18puwtrXQq6Trd6RyGJEX5Mjg488drEqEBWfW0etz35KTet3MILd81jXPjnv88ZPc1H2vw3Z4gUMwfm3+MMi0LinQGSV2Dn94iIiIiIiJyn1Nom54WM3CpmjQ3pNADy9bTyhUmjeHv3MVra7V2usT23msY2e5fzkQCCfT0I8nEnp2LoT27bVVDjchgUF+KDp9XC4UGak7R6RyGjArz4w3VT8fFw4/mteX1eK6+ykYzcalbMODPImxAVwAt3z8NmN7l55accLf98gHhGXjVRgV5nnu5mmvDBT50h0oSr4Utvw4UPwsRrYPRUhUgiIiIiIiKdUJAk57yyuhbyKpuY00210XUzY6hvsfHhgdIur0k/WIaHm4ULEkO7fV58mC/Z5UMbJJXVt1BU0+xykORmMUgI9+PQIJzcVtHQyrqscq6ZHk2gjztXTY3ircxiapvb+7Te6h1FGAZcOz260/dTRznDJIfpDJOOlNVjmiYZOVVnzkey2+CNe2HzX2HWV+H6p8Ha+0ouERERERGR85WCJDnnZeQ6Zwd1N2x53rhQRgd6sXpH16e3pWeVMXdcCD4e3XeEjgvzG/KKpMyCWoA+taclR/oNSkXSW5nHsDnME/OMbps7huZ2O//t5Ql5JzNNk9U7C1mQEMboQO8ur0uO9OeFu+ZhmnDzyq18dKCMsvrThqy3NcFLt8Gu52HRD+GK/9W8IxERERERkV5SkCQjXl1Le69OVOtKRm4V3u5uTIwK6PIaN4vBNdOjWX+onPL61jPez69s4mh5Y7dtbR3GhftSUtcyqCehnS6zoAY3i8HEKNfbsZIi/TlW20J9S98qhbqyekcRk6MDT8xhmhwTyOToQFZtzXf593N7XjUFVc0nQqnuJEX68+Ld8zAMuPvf2wGY0xEiNlXBv6+FQ+87A6RFP4B+DP8WERERERE53yhIkhHtcGk9s3/9Iau25fd5jW05VcwYE4S7W/d/u6+YHo3dYfJm5pnH1K875DzNKy215yAp/vipYUNZlbSroIbUUf54e7heWZNy0sltA+VQaT17imrPCH5umxtHVmk9n+VVu7Te6h2F+Hi4cenEUb26PjHCjxfvnkeYnydhfh4khvtBbRE8fTkc2wE3PAOzv+bSHkRERERERERBkoxgpmnyy7f302pz8Mym3D5VJdW1tHOgpK7rE7tOkhTpz5SYQFbvKDzjvfSDZYwN9TkREnVnXPjQBkkOh0lmYU2fT0PrqBgayPa213YUYrUYLJ8adcrry6dG4edpZdXW3geDLe123t5dzGWTRuHr2fuDJhPC/Xjn/oW8/PX5WCoPw78uhdpCuO1V50BtERERERERcZmCJBmxPjpQxobDFcwcE8zhsoYTs45c8VleNaZJt4O2T7ZiejT7jtVxsKTuxGst7XY2H61kUS/a2gDGhjqDpKEauJ1T2Uh9i637+UimCYfXQlX2GW/FBHvj7e5GVsnAVCTZHSb/3VnEopRwwvxOHWDt62nl2unRvL2nmOrGtl6t9+GBUupbbFw3I8blvYT5eTKuNcsZItlanCezjbvY5XVERERERETESUGSjEitNju/XrOfhHBfnv7ybPw9razqw9HxGTlVWC0G0+J6V62zfGoUVovB6ycN3d6SXUmrzcGilPBereHl7kZ0kDc5FQN/ElpnduXXAD0M2k7/DTx/Pfx1OqxcBJv/5qzOASwWg8QIPw6XDUxF0uajFZTWtbKii+Dn1rlxtNkcvNZJ5VdnVu8oYnSgF/PGdXNansPhnH9UngW5G2Hvati6Ej78BTy7HDz94SvvQ9S0vnwkEREREREROa73fSIiQ+iZTbnkVjbx7FfmEODlzooZ0bywrYCfLW8jxNej1+tk5FYxMTqwx5PWOoT6ebIoJYLXdxbx/ctScbMYrDtYhpe7pfsg4zTjwn2HrLUts7AGP08rCeF+nV+w8RH45I8w7TYIT4V9q+GDnzi/YufBpOuYEZrAe7ktA7Kf1TuKCPCysriLeVLjRwcwIy6IVdvy+eqF8RjdDLsur29l/aFy7r5oHG4Ww1lZVbgd9r4GFVnQWA4N5dBUAY5OhpsbFoiZDTc+B/69m68kIiIiIiIiXVOQJCNOeX0rf/v4CEtSI7g42VkFdOvcMTy7JY/XPivkrovG9WqdlnY7mQW13HnBGJeef92MaD48UMqmIxUsTAojPaucCxLC8HLv/SDr+DBfXt9RhGma3QYlA2FXQQ2TowOdQcvpMp6ED/8HJl0HV/3Necz9gvug8ijse91ZufPu9/gfLFxiH0/Tllx8plwLvr0PzU7W0Grjvb0lXDsj+vOfV9lBKM6EUZOdQZbFwq1zx/DdVzL5NLuK+QldP+vNzGPYHSY3xbdC+m9h98tQnQNunhA5EQKiYfRU8I0A33DwiwDfsM+/9wlxfmYREREREREZEAqSZMT50/tZtNrs/PiK8SdeSxnlz6wxwazals/XFnZfxdJhT1EtbXZHrwZtn2zx+AgCvd1ZvaOQmGBv8quauGthvEtrxIf5Ut9qo6KhjXB/z55v6KOWdjsHiuv42sJOwrXMF2HNQ5D8Bbj2H6cGKqEJcNF3nV9lB8lb/xyj9qzG5/2HYO3DEDcfEpdAwmKInAyW3nXBvre3hOZ2G7ePqYWPfw3733RWDnXwCoTYeVwdM5e3vKy8tCW06yCpvhTbpr+z1m8dY184DBgQf5Fzz+OXO9cSERERERGRIaUgSUaUPYW1vPxZAXctHMe401q1bp0bx3dezmTL0UouSAzrca1tOVUALgdJnlY3lk8dzaufFRIf5txDbwdtd+jYe05FY5+CpH3Hanlz17Eer6tuaqPdbjI15rT5SAfegv/e4wxebngG3Ny7XiQiFeuSn7Dwswt4bIkHlxub4fCH8OHPnV8+YTBukTNUSkiDgKgz1zBNKNqBR/rjbPTeQMybJc62sjELYM5dEDsXSvdB/hbI/xT3w+/zLNB22Er7P2fgPvYCZ3g1ahLkbIA9L2Nmr+PrpoNK/1SY/2tnVVVnzxYREREREZEhoyBJRgzTNPnFW/sI9fXgW4sTz3j/8smj+eXb+3l+a36vgqSM3CqSIvwIdmGmUocVM2L4z6f5PLbuCIkRfsSG+Lh0/7iwjpPbGpgT71qQBfCH97L45HA5ntaeK4FGB3qd+owjH8GrX4HoGXDzC+Du1eMa0UHe+HpY2dYczeVX/RyW/hzqSyE7HY5+DEfTYe+rzovDxx8PlRaDh48ztNr/JtQV8gXTjaLgObDwR5B6hbPN7MRGp8C0W5x/3VhJ8d503nxrNVfX5zNqy99h0yOfXxsUx+bRd/DL3Em88I07oQ+/hyIiIiIiIjLwFCTJiPHW7mK251XzuxWTCfA6s4LGy92N62bE8OzmXMrrW7ut9LE7TD7LrWb5tL5VsEyPDSI+zDkwO62Xp7WdLCrIGw+rpU8Dt5vb7GzJruTLF8Tzs+UTXLs5bwu8eBuEpcBtr4BnFwO4T2OxGCRG+p96cpt/JEy92fnlcEDZPmegdPRj5+ylT//uvM7NExIW8+Hou/hO5mje/uJyCO0hePMNZfTc6/loVzTP17aw7uE5WIp3QvFuiJ6BLWo2D/w+nWmpQS4NVxcREREREZHB1bvBJyKDrLnNzv975wATowK4YVZsl9fdOjcOm8Pk5e0F3a53sKSO+lYbc1xsa+tgGAYrpkcDvWhrayiDN+51VuYc52YxGBvqQ3YfgqQt2RW02RykpboYYB3bCatuhMAY+OLr4B3s0u3JEX5klTR0/qbF4hyWveA+uOO/8IM8uP0152lo3z+KecsL/PbYNFLHxhHXU4h0ktvmxpFf1cTGvCYYeyHMvwfi5rEpu4ry+laumxHt0mcQERERERGRwaUgSUaEJ9Yfpbi2hf9ZPrHz08eOSwj3Y964EF7Ylo/DYXZ5XUbHfKQ+tJV1+MqF8fzh+inMH9fNCWblh+DJpbDzP/DS7c5qoLpiwDlwO7u8i2CmG+kHy/F2d3OtJa7sAPx7BXgFwR1vgJ/rVVTJkf5UNLRS3djW88Xu3pC4FCZcDZ7+ZBbWkl3eyHUzXQt+Lps0ihBfD1ZtzT/l9dU7Cgn0dict1bXZVCIiIiIiIjK4FCTJsCuqaeaJ9Ue5csroXoUnt80dQ2F1M58cLu/ymozcaqICvYgO8u7zvnw9rdw4KxZLV8FW7iZ4ahm0N8FX18LSX8CRD+HvcyDjKeJDfcivasJmd/T6maZpkp5VxoLEMDytvTy2viobnrsG3DzgzjcgsG9VPEmRzja4Q6X1PVx5ptU7CvG0WvjC5NEu3edpdeOGmTGsPVBKaV0LAPUt7by/r4TlU0f3/mcgIiIiIiIiQ0JBkgy73717EIAfXj6+V9dfOnEUob4ePH9aFUsH0zTZllvVr2qkHu15Ff59DfiGw9c+hNg5cOED8M3NEDUN1nyHrx65lzhHIUU1zb1e9mh5A4XVzd23tdltUHkUDq+FTx+H564Ge6uz5SxkXJ8/UnKkPwCHylyromqzOXgz8xiXTBzV6WyrntwyJw67w+TlDGe74rt7S2hpd7BiRozLa4mIiIiIiMjg0rBtGVbbcqp4K/MY9y9J6nX1kIfVwg2zYvnnhmyKa5sZHXjqfXmVTZTXtzK7j/ORumWaztPFPvy582j7m/4DPic9JzQB7ngTdq0i+N0f8o7HDzmWXgDX/BSsPQ+NTj/orLJalBwGtYVQecQZGlUehaqjzu+rc8Fh+/wmv1Fw+2qI6F0Q15XRgV74e1o57GJFUnpWGTVN7azo4zyjsWG+XJgYxgvb8rknLZHVOwqJD/NlemxQn9YTERERERGRwaMgSYaN3WHyi7f2MTrQi29cnODSvbfMieWJ9Ud5KaOAB5Ymn/LetlznfCSXZgz1ht0G73wXPnsaJl0H1zwO1k5OjjMMmH4bdVEXs+HRu7h671+h9ANY/leIm3vm9a0NzhlHpXsYu/Uj1vgeJfrxr0PbSYGO1dtZbRQxAcYvh9BECElw/uob5nxmPxmGQVKkn8utbat3FBLm58nCxLA+P/vWuXHc8/wOnt+ax6fZVTy0LBljAD6TiIiIiIiIDCwFSTJsXv2sgH3H6vjrLdPx9nBtFs6YUF8WJoXxUkYB30pLxOr2eZfm9twqgnzcSQz3G7jNtjbAq1+Gwx/AhQ/C4p85TzLrRnBEND+zPkht/LXcUflX+NelMPurkLAYSvdByR4o3QtVOYBzcPg805uagGRIvdlZYRSa6PzyH93j8wZCcqQ/a/eX9vr66sY2Pj5Yxp3zx57ye+CqZRMiCff35Fdv7wfgmuk6rU1ERERERGQkUpAkw6K+pZ0/vp/FrDHBLJ/i2oDmDrfNjeMb/9lBelY5yyZEnng9I7eaWWNCuh6S7fJmS2DVjc7g58o/w6yv9Oo2wzCID/PlvdYp3HHPp/Dxr2HrE5DxJGBASDxEToKpt0DkRNbXRnLn6yW8eO18Yrs7KW4QJUX682JGARUNrYT5dVJtdZq3dh+j3W72e56Ru5uFG2fF8Pf0o8yNDyE2xKdf64mIiIiIiMjgUJAkw+L1nUVUNLTx1J2z+9zCtGR8JBH+nqzamnciSCqrbyGnopFb5sQOzEbLDsDzN0BTFdzyEiRf4tLt48J82ZJdCZ5+8IXfOUOolhpni5rnqRVT7762G39Pd2aOCR6YvfdB8kknt/UmSHptRxGpo/yZEBXQ72ffMieOpzflcvu8Mf1eS0RERERERAaHgiQZFh/sKyUh3Jep/Rio7O5m4ebZsfwt/QgFVU3EhviwPbcaoO+Dtk0TqrKhMAMKtsKe18DdC778jvM0NheNC/dl9c4imtps+HhYITy50+tM02RdVjkLk8Nw70eLWH91nNx2uLSBCxK6n3l0pKyBzIIaftzL0/Z6EhPsw66fXYKHVYdJioiIiIiIjFQKkmTI1Ta382l2JXdd1Pej6jvcNCeOR9OP8FJGAd+9NIVtOVV4uVuYFB3YuwXam+HYTmdoVHA8PGqqcL7nGQBjLoDL/whBcX3aX3yYs8Inp6KRiVFd7+lgST0ldS0sSono03MGSoS/JwFeVv70QRZPbszu9trGVjsWA66eFjVgz1eIJCIiIiIiMrIpSJIhty6rDJvDPGWuUV9FB3mTlhLBS9sLuH9pEhm5VUyPDe6+qqc8C7Y/7QyNSnaDw+Z8PSQBki6B2NkQOxfCU8Hi2hDw08WH+QI9B0npWWUALEoO79fz+sswDH50+Xi25VT16vopMYFEBHgN8q5ERERERERkpFCQdBapbmyjrL6VlFH+w72VfvlgXynh/p5Mi+l7W9vJbp0bx0fPbuf1nUUcKK7jW4uTur64cDv8ZwXY2iB6BlzwbWdoFDMbfPt+fH1XOoKk7PLGbq9bd7CcSdEBIyKUuXlOHDfP6VsFloiIiIiIiJzbFCSdRR58eRdbs6vY9IPFhPh6DPd2+qTVZmddVhlXT48esFPVFqVEEBXoxW/fOYDDhDldzUfK3eQ8fc03HO58s8/taq7w9nAjKtCLnIqug6TapnY+y6/mnkUJg74fERERERERkf7QQJKzxGd51azLKqe53c7zn+YN93b6bPPRShrb7APS1tbBzWJw85w4apracbMYTI/rpNLp6Mfwn+sgIAq+/O6QhEgd4sN9ye4mSNpwpBy7wxz2+UgiIiIiIiIiPVGQdJZ45MNDhPh6MG9cCM9uyaOl3T7cW+qTD/aV4uvhxgUJoQO67k2zY3GzGEyKCsDX87RCu6x3YdVNEJoAX3oHAkYP6LN7Mi7Mj+zyBkzT7PT99IPlBPm4M60fJ9iJiIiIiIiIDAUFSWeB7blVbDhcwdcvGse3FydR0dDKm7uODfe2XOZwmHx4oJRFKRF4Wvs3xPp0kQFe/OSK8dyblnjqG/teh5duh8hJcOdb4Df0w6zjw3ypb7FR2dh2xnsOh8n6Q2VcnByO2wC1+omIiIiIiIgMFs1IOgv8+cNDhPl58MX5Y/B2d2P86ACe3JjNDbNiMIyzJ3zYVVhDeX0rl0wcuLa2k315QfypL2S+BP/9hnOY9q0vg1fAoDy3J/Hhn5/cFubnecp7e4/VUtHQRpra2kREREREROQsoIqkEW5rdiWbjlTyjYsT8PGwYhgGdy2M51BpA+sPlQ/39lzywb5SrBZjaGYBbX8aXv86jL0Qbn9t2EIkgIQwPwCyyxvOeC/9YDmGARclD32llIiIiIiIiIirFCSNcM5qJE9umzvmxGtXTokiMsCTJzfkDOPOXPfB/hLmjQsl0Nt9cB/06ePw9gOQtMxZieThO7jP60F0sDfubkanA7fTs8qYFht01p7CJyIiIiIiIucXBUkj2OajFXyaXcU9ixLw9vh8ppCH1cKXLohn45EK9h+rG8Yd9t6RsgayyxsHra3thA3/B+/9AMYvh5ueB3fvwX1eL7hZDMaE+pJTfmqQVNnQSmZhjdraRERERERE5KyhIGmEMk2TR9YeJsLfk1vnnnlU/a1z4vDxcOPJjdnDsDvXrd1fCsDS8QMYJJkm1BVDzieQ8RSs/jp89AuYfANc/wxYR06Vz7gw3zMqkj45XI5pwqIUtbWJiIiIiIjI2WHIh20bhvH/27vzKKurM1/jz1sTUAUUYwChikFQBAcUBIwxQUDFOJAYh0TT0XSnXbkxiZ1O31bTN8bc3PRNWruN6XSyljHemASVdBxiG9uIColxAFFUJhlEBhmLeVDG2vePc5ACq+AUUnVOwfNZq1ad33TqPcheu/i6hyrgV0A3IAF3p5TuiohOwESgD7AYuDKltKG56ysUL7y1jmmL1/PdSwfTuvSDO5xVlpdy5bAqJkxdwk3jBtKtfes8VJm7SXNWcUrPSo7rcBgjhHZug7XzYd1bsHYBrFsA6xZmjnfWWXeotByGXw/jfgBFR3ZXuA+rb9cKJs9bw57a9P7ubJPfrKFL2zJOPq4yz9VJkiRJkpSbfOzathv4Zkrp1YhoB7wSEZOA64BnUko/iIibgZuBm/JQX96llLhz0ny6t2/NVWdWNXjfX5/dl1+9uJhfvrCYm8YNbL4CG2nN5u3MWLaRvx97QuMfnvk7eOzrsGvvaJ6ADtXQuT9Un5X53mVA5nu746CoMAfZ9etSwa49ieUb3qO6czl7ahN/ml/D2JO6UVTUcnbekyRJkiQd25o9SEoprQRWZl9viYi5QE9gPDAqe9t9wBSO0SDpuQVrmb5kA98bX/9opL2qO5dzweDuTHhpCV89tz8VrfKRCx7a03PXkBKc15j1kWr3ZKapPX8XVI2Es74CnQdAp35QWtijr+rTr2tm57a31m6lunM5ry3bwKb3dnHuQKe1SZIkSZJajrwO34iIPsDpwFSgWzZkAlhFZurbMSelxJ1Pz+e4ytZceZDRSHt96Zx+bN6+m/+cvqwZqjs8k+asorpTOSd2a5fbA+9tgAlXZEKkoV+Ea/8LBo2HboNaZIgE0LdLZue4vQtuT36zhuKi4Jz+BkmSJEmSpJYjb0FSRLQFHgL+LqW039ZjKaVEZv2k+p67PiKmR8T0mpqaZqi0eU2ZX8OMpRu5YXR/WpUcep2fob07ckZ1B+59fjF7auv9I8urrTt28/zCdZw/qBsROUzhWjMXfj46s4D2xXfCJT8qqEWzD1fnijLatS5h0drMmk5T5q9haHVHKstL81yZJEmSJEm5y0uQFBGlZEKkCSmlh7OnV0dEj+z1HsCa+p5NKd2dUhqWUhrWtevRNZojs1PbfHp2aMMVQw89Gmmvvz2nH0vXv8tTs1c1YXWH50/zati5p5bzBuUwwGzu43DPWNixFa57HIb9ddMX2Ewign5d2/L22m2s2bydWcs3M8ppbZIkSZKkFqbZg6TIDEv5BTA3pfRvdS49BlybfX0t8Pvmri3fnn1zDa+/s4mvje5PWUk9/2n27IZ312e2va/j/MHdqe5Uzs+fW9RMleZu0pxVdKooY2jvjg3fVFsLk/8vTLwGupwA10+B6pHNVWKz6delgrdrtjFlfmYk3bknfiTPFUmSJEmS1Dj5WJ35bOCvgJkR8Vr23LeAHwC/jYi/AZYAV+ahtrxJKfGjpxdQ1akNnxnaa/+LG5bAjF/DjN/AlpVQWgEde0PflDNdAAAQaklEQVSH3tCxN8UdenPbgFbcPm0HMxZUcfqA6vx8iAPs2lPLs2+u4YLB3SkpbiCz3LEFHvkyvPk4nHZ1ZjpbC10H6VD6dqngkRnLeWLmSrq3b83A7jmuGSVJkiRJUoHIx65tfwEaWixnTHPWUkienruGmcs38S+Xn0ppcRHs3gnznoBX74O3JkME9B8LI78Cm1fAxqWwcQks/gvs3MJoYHQrYMIt0KYjVFZB60po1R5atYVW7aAs+73uudaV0Gt4k4Q3095ez+btuxue1rbuLXjwali7AMb9AEZ8OfM5j1L9umYW3J4yr4bPDa/Kbc0oSZIkSZIKSGHuF3+MSSlx56T59O5czmXV22HSrfDa/bCtBtr3glE3w+mfh8pe9T2c2eVsw2IenfIib86dyQ3Hl9Jux+rMaJ+NS2HH5szrHVugdtcH36OyCs79Fpx6FRQdeoHvXD01exWtS4s4Z8ABawHV1sJrE+Cpf4Iohr96BPp94oj93EK1d+c2gFFOa5MkSZIktUAGSQXgqTeW0X/1k/yvHtMo+em0TLhy4oVwxrXQf8zBw50IKO8E5Z0465JB/M85z7K9rDe3XT64/vt378iGSpthx1b2bFhC8XN3wKP/A174dxh7Gww4/0OPDEopMWnOas4Z0JU2ZXXqX/IiPHkTrHwdqkbAZXdDxz4f6me1FHuDpNLi4Oz+XfJcjSRJkiRJjWeQlGe1e2oZ/PsLuKBsBWlPbxj9bRhyDbTv0ej36ta+NZecdhy/nb6Mb4w9od6t5TftKuLlJXt4adF2pr69mdkrirjj8l9zWavp8Oz34P4rofqjcN53oWr4YX+u2Ss2s2LTdr5x3gmZExuXwdPfgVkPQfuecNk9cMrlR/VUtgOVl5XQs0Mb+nQpp20rm54kSZIkqeXxX7N5FkXBhqFfZ21FN4Z8/FNQ9OE20vvSx/rx8KvLmTBtCV8Z1Z+N7+5k6tvrmbpoPS8tWsfcVZtJCcpKiji9qgM9Kttwz1+W8Omvf5o46ZLMmkxTfgi/OA8GXgxjboWuJza6jqdmr6IoYMzxbWHyP8PzPwYSfOImOPtGKKs45HscjX56zRl0qCfgkyRJkiSpJYh0wFbyLcmwYcPS9OnT811Gwfn8PVOZtWIT3du3Zt7qLaQErUqKOKO6IyP7dWZEv04MqepA69Jifv3SEr796CweveFshlR1yLzBjq3w0s/g+btg17bMCKlRt0Blz5xrGHfnn7gwnufG2t/A5uUw+LLMKKcOhbGjnCRJkiRJql9EvJJSGlbvNYOko8/UReu44f5XGdi9PSP6dmLk8Z05tVclrUo+uNbSlu27GPHPz3DRKT24/YrT9r+4bS08968w7eeZdZr6fgIqukJFl+xXVyjvAhWd970ubc2qOS/wzoM3MqxoPnQ/FS78IfT+aDN9ekmSJEmS9GEYJOmgbnn4DR6ZsZyp3xpLZZt6pl1tWAJ/vh1Wvgbb1mV2k6tv9zeAsnawcws1qT1FY75D54998YjuBCdJkiRJkprWwYIk10gSVw/vzQPTlvHIq+9w3dl9P3hDx94w/if7jlPK7Pq2bW3m6921mXApezxx9lYmFl/Mwx8f13wfQpIkSZIkNTmDJHFKr0pO7VXJ/dOWcu1H+xCH2kktAlpXZr46H7/fpfXbdnLLnyfx1XPrCaQkSZIkSVKL9uG2CNNR45oR1cxfvZXpSzZ8qPd5Zu5qahOcN6j7EapMkiRJkiQVCoMkAXDJacfRrlUJ909detjvsac2ce/zi6nuVM7JPdsfweokSZIkSVIhMEgSAOVlJXz6jJ78YeZKNmzbeVjvMfHlZcxduZl/HHfioafHSZIkSZKkFscgSe+7ekQ1O3fX8tCr7zT62U3v7eKOp+YxvE8nLjqlRxNUJ0mSJEmS8s0gSe8b2L09Q3t35P6pS0kpNerZHz+zgA3v7uTWSwY5GkmSJEmSpKOUQZL2c/Xwahat3caLi9bl/MzCNVu574XFfPbMKk7uWdmE1UmSJEmSpHwySNJ+Ljq1B5VtSpnQiEW3/88f5tCmtJhvnn9iE1YmSZIkSZLyzSBJ+2ldWsxnzujFU7NXUbNlxyHvn/zmGqbMq+HGsQPo0rZVM1QoSZIkSZLyxSBJH3D1iGp27Un85yvLDnrfzt21fO8Pc+jXpYIvnNWneYqTJEmSJEl5Y5CkD+j/kbaM6NuJB6Ytpba24UW3f/XiYhbVbOPbFw+irMS/SpIkSZIkHe3817/qdc3I3ixb/x7PLVxb7/W1W3dw1zML+MQJXTl34EeauTpJkiRJkpQPBkmq1wWDu9Gpooz7py6p9/q/PjWf93bu4dsXn9TMlUmSJEmSpHwxSFK9WpUUc8WwXjw9dw2rN2/f79rsFZt48OWlfOGsPvT/SLs8VShJkiRJkpqbQZIadPXwavbUJia+vG/R7ZQS3/2vOXQsL+PGMQPyWJ0kSZIkSWpuBklqUO/OFZwzoAsPTlvKnuyi2/89axXT3l7PN88/gcry0jxXKEmSJEmSmpNBkg7qmhHVrNi0nSnz1rB91x6+/4e5DOzejs+eWZ3v0iRJkiRJUjMryXcBKmxjTupG13atmDB1KXNWbGb5xvd44G9HUlwU+S5NkiRJkiQ1M4MkHVRpcRGfPbOKn0xeyAtvreWTp3TnrOM757ssSZIkSZKUB05t0yFddWYVALUJbrnwpDxXI0mSJEmS8sURSTqkXh3L+droAXRr34qqTuX5LkeSJEmSJOWJQZJy8vfnnZDvEiRJkiRJUp45tU2SJEmSJEk5MUiSJEmSJElSTgySJEmSJEmSlBODJEmSJEmSJOXEIEmSJEmSJEk5MUiSJEmSJElSTgySJEmSJEmSlBODJEmSJEmSJOXEIEmSJEmSJEk5MUiSJEmSJElSTgySJEmSJEmSlBODJEmSJEmSJOWk4IKkiBgXEfMiYmFE3JzveiRJkiRJkpRRUEFSRBQD/wFcCAwCPhcRg/JblSRJkiRJkqDAgiRgOLAwpbQopbQTeBAYn+eaJEmSJEmSROEFST2BZXWO38mekyRJkiRJUp4VWpB0SBFxfURMj4jpNTU1+S5HkiRJkiTpmFFoQdJyoKrOca/sufellO5OKQ1LKQ3r2rVrsxYnSZIkSZJ0LIuUUr5reF9ElADzgTFkAqSXgatTSrMbuL8GWNJ8FR6WLsDafBchtSC2GalxbDNS49hmpMaxzUi5O5raS++UUr2jd0qau5KDSSntjoivAn8EioF7GwqRsvcX/JCkiJieUhqW7zqklsI2IzWObUZqHNuM1Di2GSl3x0p7KaggCSCl9ATwRL7rkCRJkiRJ0v4KbY0kSZIkSZIkFSiDpKZ3d74LkFoY24zUOLYZqXFsM1Lj2Gak3B0T7aWgFtuWJEmSJElS4XJEkiRJkiRJknJikNREImJcRMyLiIURcXO+65EKTURURcTkiJgTEbMj4sbs+U4RMSkiFmS/d8x3rVIhiYjiiJgREY9nj/tGxNRsfzMxIsryXaNUKCKiQ0T8LiLejIi5EXGW/YzUsIj4Rvb3slkR8UBEtLafkfaJiHsjYk1EzKpzrt5+JTJ+nG07b0TEGfmr/MgySGoCEVEM/AdwITAI+FxEDMpvVVLB2Q18M6U0CBgJ3JBtJzcDz6SUBgDPZI8l7XMjMLfO8Q+BO1NK/YENwN/kpSqpMN0FPJlSGgicRqbt2M9I9YiInsDXgWEppZOBYuCz2M9Idf0SGHfAuYb6lQuBAdmv64GfNVONTc4gqWkMBxamlBallHYCDwLj81yTVFBSSitTSq9mX28h88t9TzJt5b7sbfcBn8pPhVLhiYhewEXAPdnjAEYDv8veYpuRsiKiEvg48AuAlNLOlNJG7GekgykB2kRECVAOrMR+RnpfSunPwPoDTjfUr4wHfpUyXgI6RESP5qm0aRkkNY2ewLI6x+9kz0mqR0T0AU4HpgLdUkors5dWAd3yVJZUiH4E/CNQmz3uDGxMKe3OHtvfSPv0BWqA/5edDnpPRFRgPyPVK6W0HLgDWEomQNoEvIL9jHQoDfUrR20uYJAkKa8ioi3wEPB3KaXNda+lzLaSbi0pARFxMbAmpfRKvmuRWogS4AzgZyml04FtHDCNzX5G2ie7rst4MiHscUAFH5zCI+kgjpV+xSCpaSwHquoc98qek1RHRJSSCZEmpJQezp5evXfIZ/b7mnzVJxWYs4FLI2IxmSnTo8ms/9IhOwUB7G+kut4B3kkpTc0e/45MsGQ/I9VvLPB2SqkmpbQLeJhM32M/Ix1cQ/3KUZsLGCQ1jZeBAdkdDsrILFL3WJ5rkgpKdm2XXwBzU0r/VufSY8C12dfXAr9v7tqkQpRSuiWl1Cul1IdMv/JsSukaYDJwefY224yUlVJaBSyLiBOzp8YAc7CfkRqyFBgZEeXZ39P2thn7GengGupXHgO+kN29bSSwqc4UuBYtMiOvdKRFxCfJrGVRDNybUvp+nkuSCkpEfAx4DpjJvvVevkVmnaTfAtXAEuDKlNKBC9pJx7SIGAX8Q0rp4ojoR2aEUidgBvD5lNKOfNYnFYqIGEJmcfoyYBHwRTL/I9V+RqpHRHwXuIrM7rozgC+RWdPFfkYCIuIBYBTQBVgNfAd4lHr6lWwg+xMyU0TfBb6YUpqej7qPNIMkSZIkSZIk5cSpbZIkSZIkScqJQZIkSZIkSZJyYpAkSZIkSZKknBgkSZIkSZIkKScGSZIkSZIkScqJQZIkSRIQEZ0j4rXs16qIWJ59vTUiftpMNQyJiE82x8+SJEk6HCX5LkCSJKkQpJTWAUMAIuI2YGtK6Y5mLmMIMAx4opl/riRJUk4ckSRJknQQETEqIh7Pvr4tIu6LiOciYklEXBYR/xIRMyPiyYgozd43NCL+FBGvRMQfI6JHPe97RUTMiojXI+LPEVEG/G/gquxIqKsioiIi7o2IaRExIyLGZ5+9LiJ+HxFTImJBRHynOf9MJEnSscsgSZIkqXGOB0YDlwK/ASanlE4B3gMuyoZJ/w5cnlIaCtwLfL+e97kVuCCldBpwaUppZ/bcxJTSkJTSROCfgGdTSsOBc4HbI6Ii+/xw4DPAqcAVETGsiT6vJEnS+5zaJkmS1Dj/nVLaFREzgWLgyez5mUAf4ETgZGBSRJC9Z2U97/M88MuI+C3wcAM/63zg0oj4h+xxa6A6+3pSdjoeEfEw8DFg+of4XJIkSYdkkCRJktQ4OwBSSrURsSullLLna8n8bhXA7JTSWQd7k5TSlyNiBHAR8EpEDK3ntgA+k1Kat9/JzHPpgHsPPJYkSTrinNomSZJ0ZM0DukbEWQARURoRgw+8KSKOTylNTSndCtQAVcAWoF2d2/4IfC2yQ5si4vQ6186LiE4R0Qb4FJkRTpIkSU3KIEmSJOkIyq51dDnww4h4HXgN+Gg9t96eXaR7FvAC8DowGRi0d7Ft4HtAKfBGRMzOHu81DXgIeAN4KKXktDZJktTkYt9obEmSJLUEEXEdMCyl9NV81yJJko4tjkiSJEmSJElSThyRJEmSJEmSpJw4IkmSJEmSJEk5MUiSJEmSJElSTgySJEmSJEmSlBODJEmSJEmSJOXEIEmSJEmSJEk5MUiSJEmSJElSTv4/vSYAAY3B+OUAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KLnmCLi_0UPh"
      },
      "source": [
        "Выведем 50-ую строку нашего набора данных"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 80
        },
        "id": "qVcMXfKRzlL8",
        "outputId": "46c15a03-0a0a-4e98-c586-a98d58700202"
      },
      "source": [
        "data_series.loc[[50]]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>y</th>\n",
              "      <th>y_exp_norm_user</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>50</th>\n",
              "      <td>81</td>\n",
              "      <td>78.898404</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     y  y_exp_norm_user\n",
              "50  81        78.898404"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U-HuHka32r0A"
      },
      "source": [
        "Выведем только 50-ое сглаженное значение"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "EYcENtAv2nqz",
        "outputId": "623a338c-0d0f-4486-efe5-f82ecdbfd5ba"
      },
      "source": [
        "data_series['y_exp_norm_user'].loc[[50]]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "50    78.898404\n",
              "Name: y_exp_norm_user, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Rb36GaXz2xfg"
      },
      "source": [
        "Округлим его до сотых"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "oajzkHL42yl6",
        "outputId": "d74c4867-c8e6-4880-f1b3-21f6c5e016a2"
      },
      "source": [
        "y50 = data_series['y_exp_norm_user'].loc[[50]]\n",
        "round(y50, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "50    78.9\n",
              "Name: y_exp_norm_user, dtype: float64"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7dNph8mN0DeA"
      },
      "source": [
        "Теперь проведем экспоненциальное сглаживание нашего временного ряда, используя функцию <code>ewm</code>. Результат запишем в новый столбец <code>y_exp_norm</code>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HXK6wCKVzQFR"
      },
      "source": [
        "data_series['y_exp_norm'] = data_series['y'].ewm(alpha = 0.2, adjust = False).mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 419
        },
        "id": "OqRne_3NzUW-",
        "outputId": "0c9605e4-f643-4a16-c204-3ad4c4c36c75"
      },
      "source": [
        "data_series"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>y</th>\n",
              "      <th>y_exp_norm_user</th>\n",
              "      <th>y_exp_norm</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>17</td>\n",
              "      <td>17.000000</td>\n",
              "      <td>17.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>25</td>\n",
              "      <td>18.600000</td>\n",
              "      <td>18.600000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>16</td>\n",
              "      <td>18.080000</td>\n",
              "      <td>18.080000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>17</td>\n",
              "      <td>17.864000</td>\n",
              "      <td>17.864000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>7</td>\n",
              "      <td>15.691200</td>\n",
              "      <td>15.691200</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>96</th>\n",
              "      <td>131</td>\n",
              "      <td>132.155831</td>\n",
              "      <td>132.155831</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>97</th>\n",
              "      <td>132</td>\n",
              "      <td>132.124665</td>\n",
              "      <td>132.124665</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>98</th>\n",
              "      <td>163</td>\n",
              "      <td>138.299732</td>\n",
              "      <td>138.299732</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>99</th>\n",
              "      <td>143</td>\n",
              "      <td>139.239785</td>\n",
              "      <td>139.239785</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>100</th>\n",
              "      <td>163</td>\n",
              "      <td>143.991828</td>\n",
              "      <td>143.991828</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>100 rows × 3 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "       y  y_exp_norm_user  y_exp_norm\n",
              "1     17        17.000000   17.000000\n",
              "2     25        18.600000   18.600000\n",
              "3     16        18.080000   18.080000\n",
              "4     17        17.864000   17.864000\n",
              "5      7        15.691200   15.691200\n",
              "..   ...              ...         ...\n",
              "96   131       132.155831  132.155831\n",
              "97   132       132.124665  132.124665\n",
              "98   163       138.299732  138.299732\n",
              "99   143       139.239785  139.239785\n",
              "100  163       143.991828  143.991828\n",
              "\n",
              "[100 rows x 3 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M9udubs24PbR"
      },
      "source": [
        "Построим графики исходного и сглаженного рядов"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497
        },
        "id": "xbfD97Ha050u",
        "outputId": "c84162c1-aafc-4ec8-a495-4beca3039a9d"
      },
      "source": [
        "plt.figure(figsize=(20, 8))\n",
        "plt.plot('y', data = data_series)\n",
        "plt.plot('y_exp_norm', data = data_series)\n",
        "plt.plot('y_exp_norm_user', data = data_series)\n",
        "plt.xlabel('Time step')\n",
        "plt.ylabel('y')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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/pd/FlCnL+r3mSDZkQZJhGEHA/cBP+7nOnYZhbDUMY2tlZeXAFCciIiIiIiJjytb8GirqW1iRMbHHZ1ZkTKC8roWt+WpvG2k6dyQlDsCOpP9dfRUbaOT+iRdy5vy7+r3eSHd87Dp4pgApwC7DMAASgO2GYSwEioHEI55N6Lh2HNM0nwCeAJg/f75iYREREREREem1NzNLCLBbuGBGTI/PXDgzFn+bhTWZJSxMiRrC6qS/ChwuwgPthAfaT/7wMVqanWTv+xc78j9ga81ePsXFzUGTuXr5rweh0pFnyIIk0zSzgK5/oYZhHAbmm6ZZZRjG68A9hmG8BJwBOE3TVCOqiIiIiIiIDDiP1+StrDLOnxFDcDdtbZ2C/W2cPyOGt7LL+OmqWVgtxhBWKf1R6GjyedB2jeMQO/b+k50lG9len89uo5W29g0wpHgMbg+fzjcv+/tgljuiDFqQZBjGi8C5QLRhGEXAA6ZpPt3D428BlwIHARfw/warLhERERERERnbtuQ5qGpoYUV6z21tnVZkTODt7DI+P+xg0eRxQ1CdDIRCh4sZE0J7vL8z6wVWZ/+VHU3l5Fnbm53spsksw48bQ6dx2sQzmTv9ciKjpgxVySPGoAVJpmled5L7yUf82gTuHqxaREREREREZHit3lFEq9vLNQuShrsU1mSVEGi3ct6M8Sd99vwZMQTarbyZWaIgaYTwek2KappY1s1pfAClJdv42tafYwVOt4VyWeQMTks6j1nTL8M/IHxoix2BhnJGkoiIiIiIiIxRj394iEKHi2VpcUQF+w1bHW6Pl7ezyjh/ZgxBfif/kTjIz8b5M2N4J7uMn62ahc06pIefSx9U1LfQ6vGS0M2gbdPr5cF378IEXl3+DPHxC4e+wBFO/wJERERERERkULW4PeRVNdLi9vL8pvxhrWVznoPqxlZWZUzw+TMr0ydQ1dDKljzHIFYmA6XA0X5iW1I3QdK/P/wRn+LiPyacoxCpjxQkiYiIiIiIyKA6WNGAx2sS4m/juY2HaW7zDFstb2aWEuRn5dzpPZ/Wdqxzp8cQ5GflzSydCTUSFHYESYmRRw/brqzI4dGCNZxu+nHtst8MR2mjgoIkERERERERGVT7yuoB+N7yaVQ1tPLvncXDUofb4+Wd7FIunBlLgN3q8+cC/axcODOWd7LLcHu8g1ihDIQChwvDgPgjgiTT6+Whd+6kFXjw3MewWDXpp68UJImIiIiIiMig2ldWj5/Vwg2LJjEjLpSn1ufRfubS0PrsUDU1rjZW9KKtrdOKjAk4GlvZmFs9CJWdnLOpjff3lPPzt/fwTvbA7Yyqa27jv9/aw7b80dO2V1jjIi4sAH/bF2Hh2g0P8aFZx93jzyA5+ZxhrG7kUwQnIiIiIiIig2pvWT1TY0KwWy18delkvvvqLj7aX8l5vWgvGwhrMksJ8bdxzrSTn9Z2rHOmjSfE38aazFKWpvb+871V62qfybQ5z8HmvGp2l9Th7cjeYsP8WZ4Wh8Vi9Ps9/9pRzBOf5PLEJ7ksmRrNvReksjAlqt/rDqciRxOJkV/MR3I4DvLzQ68yGzs3XfT4MFY2OihIEhERERERkUG1r6yeM6eMA2DVnIk8unYvT63PHdIgqc3j5Z2cMpal9a6trVOA3cqytFjeySnjoS/Pxj7Ap7c5XW1szK1mc141m3Id7C2rwzTBz2bhtMQI7jk/lUWTozhc5eL+1VlkFjuZmxjR7/euyyknJTqY6xcm8edPDnH1nzeyePI47r0glcUdf2a91eL2YLdYBiTo6osCh4uzpkZ3/f4Xb91OnQFPLfk5NnvAsNQ0mihIEhERERERkUHjdLVRVtfM9LhQoD0YueXMZB59Zx85JU5mTQwfkjo+PViFs6mNFem9b2vrtCJ9Aqt3FPPpwapeDes+maIaFyt/t4FaVxsBdgunJ0Xy7QuncUZKFHMSI44KvtImtPKTf2fz7u6yfgdJzqY2NuVWc8fSyXz17MncuGgSf99SwJ8+PsR1T25iYUoU/9ERKBlGz6GQq9XNtvwaNue2757aWVhLfEQgv7/+dGbHD82fb6fmNg/l9c0kRrXPR/pw4y952+Pgrog5pE69eEhrGa0UJImIiIiIiMig2VtWB9AVJAHcsHASv//gIE+vz+Oxa+YOSR1vZpYSGmBj6bTokz/cg6XTogntaG8bqCDJNE1++M9M2txe/n7HGcxPjsLP1vNup4ggPxYmR7Eup5zvXzSjX+/+aF8Fbq/JsrRYoH2o+O1LUrjhjCRe2lLAHz8+xPVPbWZBciT3XpDKkqnRGIZBY4ubrfk1bMqtZnNuNZlFTtxeE6vFYHZ8ODcvTmZNZilX/OEz7r90BrecmXzCIGogFdc2YZqQFBVEnbOQh/b8lWmGlTsueWJI3j8WKEgSERERERGRozS0uHlu42H+35kpBPr1vg3sSPvK209smxEX1nUtPMjO1fMTeX5TPj+4eAZx4YPbbtTq9rI2p4zlaXFHDWDuLX+blWWzYlmbU8Yjl6efMPDx1fObC/j0YDWPXD6bM6f6FnItnxXLg2/sJq+qkZTo4D6/e11OOdEh/px2zM6mALuVW89K4dqFSbyytZA/fnSIm57ewpyO57KLnXi8JjaLQXpCOF89ezJnpEQxPzmKEP/2mOHu86byvVd38bM3drMxt5pHr5xDeJC9z7X6qtDhAiAxKohfvnU1Dgv8btED2P37/n2So+nUNhERERERETnKQ2/s5tF39rFud1m/19pbVk94oJ3YMP+jrt92Vgpe0+Svnx3u9ztOZsPBSuqb3azsw2ltx1qVMZG6ZjcbDlb2e62Cahc/f2sPS1OjuX5hks+f69xB9G4//nxa3B4+2lfBsrTYHmcZBdit3Lw4mY++fy6PXD4bV4sbu8Xg6+dM5m+3L2TXA8tZfddZ/PDiGZw7PaYrRAKICvbjqZvn85+XzuT9PRVc+tv1bC+o6XO9viqsaQLAUfQ3VreWc2voDGbNuGLQ3zuWKEgSERERERGRLh/ureDlrYUA7Cp09nu9fWX1TI8LPa61KWlcEBfPjuPvm/NpbHH3+z0n8mZmKWEBtqMGMPfVWVOjCQuw8WZmab/W8XpNvv+PXVgNg/+5MqNXrV8JkUGkTQhjXU55n9//2aFqGls9LO8IpU7E32blhjMm8e53zuEf3ziT7180g6Wp4wn2P3GTk8Vi8NWzJ/Pq1xdjGHD1nzbyxCeH8HYePzcICh0uIux1PLb/SZI9Bt9Y8fSgvWusUpAkIiIiIiIiQPtg7Ptey2RabAhzEsLZWdi/HSSmabK/rJ4ZR8xHOtIdSydT1+zmlY7gajA0trh5N6eci2bFDUgrmp/NwkWz4libXcae0ro+r/PsxsNsznPwk1VpTIwI7PXnl8+KZVtBDZX1LX16/7qccoL9rH0+ma03TkuKZM29S7lwZiz//dZebn/2cxyNrYPyrkKHi/lxf6LUAg8t+CH+AUM77Hss0IwkERERERERAeDBN3KoamjlqZsX8O+dxTy3KZ82j7fPR90X1zZR3+I+atD2kU5PimTepEie+TSPmxcnYx2E4+Jf3VpIfYuba3vROnYy916QyoaDVVz/5Caev+OMXp88l1vZwP+8s5fzZ8TwlXkJfaphWVosv37vAB/sLeeaBb372rxek/f2lHPu9JijToTrLdPrpbp6H3nFG8mvzOZwbS6Hm8rJdzfQgIk/BnYM/AwDPyzYDQtnp4KryeSbz1qIDgog3D+AcHso4X5hhAdEER44jvDgGCJCJhIeGk9YeCKBAVEYFt/+DrZV/4vNEQ5uDExhbvoNff7apGcKkkRERERERIR1OWW8tqOYe8+fSnpCOPmORp7akMfe0nrSE/q2q2NfWeeg7e6DJICvLk3h689vZ21OGZem93+G0ZE8XpNnPj3M6UkRzJsUOWDrJkYF8dKdi7juiU3c8NRmnr/9DJ+Pufd4Tb736i78bVZ+fkW6Ty1t7rZm9h54g21569ju2E24LZAb5n+b+IhA1uX0PkjaWVRLZX1L16ylEzG9XhyOgxSX76C4ag/5tQc53FDM4dYa8nHTcET452eaJJlWUu3hhNmCaPW6aTXdtHo9tJpu2kwPrVYv3gAvTk8bVW3NtHqhvrmMlhOEiH6mSagXrLS3VVkwMLp+DQZGV7tVZaiHCW6Db678S6++J+I7BUkiIiIiIiJjXE1jK/evzmbmhDDuOT8VgDkJ7Sd07Syq7XOQtLcjSJoW23OQtCwtjknjgnhyfe6AB0nrcsoocLj40SUzBnRdgEnjgnnpzsVc9+Qmrn9yEy/cscin79PTG3LZXlDLr6+ZS2xY96fVNTfVkLVvNdvzP2Rb7T52el00dQQtCR6odjtZ/dl9zBnnR23pWTQ0zSEk0M/n2tfllGOzGJw3PQYAp7OAotKtlFTtpbg2l+LGEopbHJS4XZQY3q53d4rzmCRbg1gZMJHksEkkR88ieeJC4mLnYrX5VkdDi5uf/iub13YUAxDp38wZ8a2kxTQRH9ZIiL2e+uYqnM01OFud1LU24MWL1wQTE6/ppdntobnNQ4vbQ4vHgxeTZNPgktS7CArq/zws6Z6CJBERERERkTHup6/n4Gxq5bnbFnbNEUqIDCQ6xI+dBbXctGhSn9bdV1ZPfEQgoQE9H/tutRjcdlYKD7yew7Z8B/MmRfXpXd15cn0uSVFBLJ8VN2BrHilpXMfOpCc3cf1Tm3j+9jOYkxjR4/MHyuv55br9LE+L5bK5E7uu19cVs3PvP9le+Anb6vPIpoU2w8AwTVJNK5cFJTFvwiJOn34FMbGzcdYe5tVPHuCFqm1UTfyQG/8+n1uTL+HSJT/Gz7/n0K7T+zn5XJq4mWfefppP6w6yz+I96n6I1yQeK5PsoZwZEE18yETiI6cyMTqNxIlnEBjU/z+jEH8bj10zlx9dOpMteQ425VazOa+adzY1ABBotzI/OZIzUqJYmj6OGXGh7C6pY1Oug8151WwvqKG5rb3uGXGhLJo8jjNSoliYEsW4EP8TvVr6yTDNwZuWPtjmz59vbt26dbjLEBERERERGbHeyirlrhe2891l0/jmBalH3bv9r5+T73Dx3nfO6dPaF/3qExIiA3n61gUnfM7V6mbxzz9g8eRx/OmmeX1617G25ddw5R8/42er0rj1rJQBWbMnRTUurntyE7WNbTx3+0JOSzq+jc7t8XLlHz+jwOHi5VviOFzwOttKN7G9sZD9hgevYWAzTdJMP+aFTmJewlLmzryK8PCe29ZcLidf/8M91EbsJM8O0R6T66NP5+qz/4vwiOSjni0t2caG7Of5qHQzW71OXBYLNtNkLgEsjprJ5Kg04senMTHutBO+c7BVN7SwJc/B5o5wqXNXWyfDgJlxYZwxOYpFk8exMDmKyGDfd2OJbwzD2Gaa5vzu7mlHkoiIiIiIyBhV1dDCj/+VTXp8ON84d8px9+cmRvDBvgrqmtsIO8Guou60ur0cqmzggpkxJ302yM/GDWck8cePD5Ff3cikccG9eld3nlqfS1iAja/MT+z3WgCuhgoOF31GXtl28mr2U91SQ5g9hAj/CCICovje/Ahe3eHi/ud2ct+qczhzRjp2/2BMr5ei4o387ePnCfXuYkJ8PVd+1L5moNckwxLI18KmcnrSuWTMvLJXLVlBQeFEJ32XnbvL+MOlB3l+z3P8tmYHT65eyZeDJrE46Ty2Fq1nQ30eudb2TSSxbpNpjRFcNftSLlhwGyGhA9tO2F/jQvy5JH0Cl3S0OdY0trLlsIN9ZfXMnBDGwuQowoN693dRBpaCJBERERERkRFuT2kdNY2tLJ4yzqfhzQCmafLj1dk0NLv5v6vnYOvmZLY5iRGYJmQVOTlrau9mzuRWNeD2mj2e2HasW85M5sn1uTyzIY8HL5vdq3cdq6DaxdqcMr52zhSC/X3/sdf0eqms3E1e8WfkVWSRV5dHXlMFeR4XZdYvvq8W0yTChLpmcDcc8f3u+Bbds/N52AlBXhM74OyYMRQW4uV0WzhXR6VxesoyZk5bhd0e1K+vdXlaLK9tL8Y67lr+fMs97Duwhuc+f4xXm/J5cf+z2E2T+dYgroiey9K0a/juW37UGgaXnb+kX+8dKpHBflw0K46LBsWYNdUAACAASURBVKk9UXpPQZKIiIiIiMgIVt/cxk1Pb6GqoYU5CeHce0Eq58+IOWmg9PquEt7JKeO+S2b0OAy7a+B2YW2vg6QvTmwL8+n52LAAvjQnnle2FvHtZdOICOp7u9Izn+ZhtRjcemayz59xOgu4d/XlbDdau64FeU1SsDHffzyTQxNJiZpJyoT5JCYsws8/FNPrpclVRW1dAc76YmobSimtKWVtzj5aPE6SYyxgdVNRNY7ixrk8ffc9RIf2Lzg61tnTxuNvs7Aup5wzp0QzPXUFj6Su4Fvl2eQVf0b6jCu6djlV1Dezs+h9vn3htAGtQcYWBUkiIiIiIiIj2O8/PEhVQwv3XpDKa9uLuP3ZraTHtwdKF87sPlCqqGvmp//O4bSkCL66dHKPa4cH2ZkcHczOwtpe17W3rB671WDyeN/b1O5YmsI/txfxwuYC7j5vaq/fCeB0tfHK1kJWzZnY46lox6qq3MOdb17LYcPDt6LmM3viYlISFhMzfjaG5fidWp0Mi4WgkBiCQmKYyBfjZJYsbObaJzexZX8z58+I4a3iUv5047wBD5GgvS1wydRo3t1dzgOr0rr+vGNiZxMTe/TOrvf3VGCasHxW7IDXIWNHz/8iRERERERE5JSWV9XIMxvyuGpeAt9ZNo0Pv3cuj16ZgbOpja8+t5UVv93AO9lleL1fHLJkmib3r86iuc3DL78yB6vlxDuX5iZGsLOwlt4e1LSvrJ4p40Owd9My15OZE8JYmhrNXz87TE1j68k/0I0XtuTjavVwx5KeA7IjlZRs5ZY3rqYID4+n38Mdq/7KonlfIzY244Qh0onEhAXw0p2LmBAewJuZpXx57kQunj14rVnLZ8VSXNvE7tK6Ez63LqeMxKhApvewA03EFwqSRERERERERqhH1uzBz2rhBxdNB8ButXD1gkQ++O45/PIrc3C1uvn689u49LfreSurFK/X5J/bi3lvTwXfv2g6U8aHnPQdcxIjqKxvodTZ3Kva9pXV+zwf6Ujfv2g6Tlcb97y4HbfHe/IPHKHV7eXZzw6zZGo0aRNP3lKXm/cBN79zKzWGyRML7mfxvK/3ut6exIQG8NKdi/nusmn9nvl0MhfMjMUwYF1OeY/PNLS4+fRgNcvT4nyeoyXSHQVJIiIiIiIiI9D6A5W8t6ece85PJeaYFi6b1cJV8xJ47zvn8Ktr5tDq8XLXC9u5+Def8OAbOSxMjuK2s1J8es/cxC/mJPmqrrmN4tqmPgVJGQkRPHz5bD49WM3P397bq8++sauE8roW7lh68q9t995/cetH99JmwF/O+gVzZ1/f61pPZnyoP9+8IJXwwME9ZSw6xJ95SZG8u7vnIOmT/ZW0erwsT1Nbm/SPgiQREREREZERxu3x8l9v7GbSuCBuW5Lc43M2q4XLT0vg3W+fw2+unYvHa2Ka8L9fycBykpa2TjMmhOJntbCrF0HS/q5B231robp6fiK3npnM0xvy+Oe2Ip8+Y5omT67PZVpsCOdMG3/CZ7ftepbbN/6YABOeO/+PTJ+2sk91nkqWz4pld2kdhQ5Xt/fX5ZQRGWRn3qTIIa5MRhsFSSIiIiIiIiPMC5sLOFDRwP2XzsTfZj3p81aLwWVz43n32+ew6f4LmDTO9wHY/jYraRPD2NGLIGlvR5A03ccT27rznytmsnjyOH60OsunEOvTg9XsLavnjiWTT9i6tWHL7/j69v8l2rTw3CV/Y9KkpX2u8VSyLK19BtN7e47fldTm8fLB3goumBmLrRczq0S6o79BIiIiIiIiI0hNYyuPvbufs6aO63WbksViEOLf+8O75yZGkFXk9Hlm0b6yekIDbEwM9+3UtO7YrRYev+F0xof487W/baOi/sQzmp5cn0t0iD+XnTaxx2fWrn+Ib+7+MynYePbLrxE34bQ+13eqSYkOJjUmpNs5SVvyHNQ1u9XWJgNCQZKIiIiIiMgI8qv39lPf3MZPV84asqHJcxMjaGrzcKCiwafn95XVMz02tN/1RQX78cTN86htauWu57fT6u4+yNpXVs/H+yu5ZfGkHndovfbe9/jBoZfJwJ+nr1xDVNTUftV2Klo+K5Ythx3Uuo4+8W5dThkBdgtLU0/c8ifiCwVJIiIiIiIiI8Tesjqe35TPjYsm9WmQdV/N6Ri47UuLmWma7C2rG7D6Zk0M53+vmsPW/BoeeD2n22eeWp9LgN3CjYsmHXevtaWeJ1+/mQeK17LYCOZPV79LaFj8gNR2qlmWFofHa/LB3oqua6Zp8u7ucpamjifQ7+RtkCInoyBJRERERERkBDBNk4fe3E1ogJ1vXzhtSN+dPC6I8EC7Tye3ldU1U9fs7vOg7e6smjORb5w7hRe3FPD8pvyj7lXUN/PvnSVcNS+ByGC/ruuVFTk8vvo6lv19Mb+t2cFF1kh+d+0HBAZFDVhdp5qM+HBiw/yPam/LKamjxNmstjYZML1vjhUREREREZEh9+7ucj49WM2DX5p1VGAyFAzDYE5ihE9B0kAM2u7O95ZPZ09pHT97PYdpsaEsTGkPhJ77LJ82r5fbl0wGIDPnZV7Y+UfWtVXhAc62hnJ92k0sPv3rGJbRvZfCYjG4cGYsr20vprnNQ4DdyrqcMiwGXDBTQZIMjNH9r0hERERERGQUaHF7eHjNHqbFhnDDGUnDUsPchHD2l9fjanWf8Ll9nUFS7MC23lktBr+59jSSooK464VtlNQ24Wp18/zmfJbNCGN39v9w/V9O44atD/NJaxXXBk/mzfP/xO9v3siZ8+8a9SFSp+Wz4mhq8/DpwSoA1u0uZ35yFFFDHD7K6KUdSSIiIiIiIqe4ZzYcpsDh4vnbzxi249vnJkXgNSGryMkZk8f1+Ny+snomhAcQHmTv03uaXA4KijditdixWf2xWv2w2wKwdfz3m6viufWvu/j6c59y6TSTjODH2O8p4r58g2QTfhR7Npct+QnBIXF9/VJHtMWTxxHqb2NdTjmpMaHsLavnxytmDndZMoooSBIRERERETmFVdQ18/sPDrAsLZYlqdHDVsechI6B20W1JwyS9pbV92rQtun1kl+wng17XmR9xXa2mi5aT3baWwrkAY+XA9GwhBBumHkDZ877Bhbr2P4x189m4Zzp43lvTzlTY0IAWJ42NkM1GRxj+1+YiIiIiIjIKe7Rtfto85j856XDu6tkXIg/iVGBJ5yT1ObxcqiigbOnnTjwanI5+DzrWdYffpcNjYUUdRwmluwxuDp0MnNi52MYBm5PG25va8f/dv7nwe1tI6+qjvzqZlbNv4Orz718IL/UEW/5rDjezCzlTx8fYkZcKEnjgoa7JBlFFCSJiIiIiIiconYV1vKPbUV87ZzJJEcHD3c5zEmIYEdBz0FSXlUjrR5vtye2VVbksHbb79hQsYPPzUZaDYNAr8lCWyi3xMxnyewbSEhY5HMtpmlS4HAxadzwf19ONedOH4/dalDd2Mr1wzRTS0YvBUkiIiIiIiKnINM0efCNHKJD/LnnvKnDXQ4AcxMjeDOzlIr6ZmJCA46733ViW+zRJ7bl7Pkn39j0ADUWo2vX0dLki5iXfiP+AeF9qsUwDIVIPQgLsLNo8jjWH6hSW5sMOAVJIiIiIiIip6DXd5WwvaCWR6/MIDSgb4OrB9rcxI45SYVOlqUdHyTtK6vDajGYEvNFwLNx25/4j8zfE2EaPHnmL5ieumLI6h3Lvrp0MuND/ZkdH3byh0V6QUGSiIiIiIjIKcbV6ubnb+0lPT6cq+YlDHc5XWbHh2O1GOwsrGFZWuxx9/eV1TM5Ohh/W/vQo3c++S9+lPsKyVj584oXiImdPdQlj1lnTxvP2dPGD3cZMgopSBIRERERETnF/OmjQ5TVNfP4DadhsZzkBLMhFGC3MiMulF2Fzm7v7y2r79q19PLae3mk9APm4s/vrlhNeLhm9YiMBpbhLkBERERERES+UOhw8edPcrls7kTmTYoa7nKOMzcxgl2FtXi95lHXG1rcFNU0MT0mmD+svo6Hyz7kbEsof776XYVIIqPIoAVJhmE8YxhGhWEY2Udc+1/DMPYahpFpGMZqwzAijrj3I8MwDhqGsc8wjIsGqy4REREREZFT2S/e3ovFMLjvkhnDXUq35iRGUN/iJreq8ajr+8rqseCmuPib/LEumy/ZY/jVde8TGHTqhWEi0neDuSPpr8DFx1x7F5htmmYGsB/4EYBhGGnAtcCsjs/8wTAM6yDWJiIiIiIicsrZlFvNmqxSvnHuFCaEBw5bHTl7X+M//nYWv/nnVXy+8xna2lxd907raF3bWVh71Gf2FJaxKOFh1lDK/wueysPXvovdHjSkdYvI4Bu0GUmmaX5iGEbyMdfWHfHbTcBVHb++DHjJNM0WIM8wjIPAQmDjYNUnIiIiIiJyKvF4TR58YzfxEYHcefbkYavjnU8e5CeHXsUOfFTv5Kld+wje8Rhn2MI5K3YBi9KuI8Tfxq7C2q5B4I0NZby95wayQtv4dtRCblv19LDVLyKDaziHbd8GvNzx63jag6VORR3XRERERERExoSXPy9kT2kdv7/+NALsQ9+g4fW4efz1G3iibjenG/48tvJF/PyC2ZL1NzYUfsinrmI+KH0fSt8nMdGkvCSG9Vu+zJSEM/n22jvYZ3dzTv18brtFIZLIaDYsQZJhGP8JuIEX+vDZO4E7AZKSNLBNRERERERGPmdTG79ct4+FyVGsSJ8w5O93NVRw/+rLed9bx+V+sfz4itX4+YcCcMFZ93EB92F6veTlf8Sne17mveJtbA+sYOOeJ2HPk/hjklZxDqFTvzbktYvI0BryIMkwjFuBlcAFpml2jvkvBhKPeCyh49pxTNN8AngCYP78+WZ3z4iIiIiIiIwkv33/ADWuVn66Kg3DMIb03SUlW/nm2ts5aHj4YewSbrjoDxiW48fpGhYLk1POZ3LK+cTklHHv85/w0Pn5VDRsY27SKm58NYLlsaFDWruIDL3BHLZ9HMMwLgZ+AHzJNE3XEbdeB641DMPfMIwUIBXYMpS1iYiIiIiIDIeDFQ08+9lhrl2QyOz48CF99/Zdz3Hd2lspxcMfZn2dGy/5U7ch0rHmJkbQYgbTEHgV91z+Ep7Q5QBMjwsb7JJFZJgN2o4kwzBeBM4Fog3DKAIeoP2UNn/g3Y6UfZNpml83TTPHMIxXgN20t7zdbZqmZ7BqExEREREROVU8vGY3gXYr310+fUjf+9p73+OhondIMA1+e/7vSEk+1+fPxoYFMCE8oOvktn1ldQDMiNOOJJHRbjBPbbuum8s9Tl0zTfMR4JHBqkdERERERKQvfviPTJrdHn5z7WkDvvaHeyv4aF8lP14xk+gQ/wFfvzvutmb+b/VXeL7pMGcaQTx65T8ID+/9/Nk5CRHsKmoPkvaW1RMT6k9ksN9Alysip5jhPLVNRERERETklFbX3MbqHcVYLNDq9uJnG7jpIK1uLw+t2c3k6GBuXpw8YOueiLP2MD/499V8RhM3BqXw3S+/gs0e0Ke15iZF8E5OGY7GVvaV1TNdu5FExoQhnZEkIiIiIiJypD2ldWw97BjuMnr03u5yWj1emtu8ZJc4B3Tt5zYeJreykR+vnDmgAVVPPtz4Sy5/bSVbTBcPxl/ED7/yep9DJGjfkQSwPb+GAxUNamsTGSMUJImIiIiIyLD5wT8yufrPG/nXjm4PbR52azJLiepo1/o8b+ACr6qGFn7z/gHOmTae86bHDNi63amtyeOHL5zLvfufJdKw8sKih7niwl/2e92MhHAsBvx7Vwmtbq8GbYuMEQqSRERERERkWDhdbWSXOAmwW/nOKzt5bXvRcJd0FKerjU8OVHLl6fGkRAfz+QDunPq/dftpavXwk5Uz6TiIaFC8u+G/uexfq1jXVsVd4em8dP1npM348oCsHexvIzUmlLXZZYAGbYuMFZqRJCIiIiIiw2JzXjWmCX+44XSeXJ/Ld1/dhcdr8pX5icNdGgDrdpfR5jFZmTERZ1Mba3PK8XpNLJb+BT+5lQ289HkB/+/MFKbGDE74Ul21n0fevp13vbXMxMYTZz3C9NQVA/6eOYnh7Cuvx2LA1JiQAV9fRE492pEkIiIiIiLDYlOuA3+bhcVTxvH0LQtYMjWaH/wzk1c+Lxzu0gBYk1VKQmQgGQnhLEiOwtnUxoGKhn6v+/6eCkwT7liaMgBVHs30ennr4wf48htX8JGnhm9Fns7fb9w0KCESwNzESACSo4MJsFsH5R0icmpRkCQiIiIiMsJsy3dQWd8y3GX028bcauZNisTfZiXAbuXJm+ezNHU8P/hnJi9tKRjW2moaW9lwoIoVGRMwDIOFKVEAbBmA9rb1B6uYMj6YiRGB/V7rSJUVOXzr+aX88PBrJGHn1aW/4o4vPduvgdonMycxHFBbm8hYoiBJRERERGQEafN4uf7JzTz+4cHhLqVfahpb2VNax+LJ47quBditPHHTPM6dPp77Xsvihc35w1bfut1luL0mK9MnApAUFURMqH+/B243t3nYklfN0tTxA1Fml3XrH+ayNdfwmcfJd8edwXM3bWbKlGUD+o7uTI8NZWJ4wFF/jiIyumlGkoiIiIjICFLocNHi9rKvrH64S+mXzR2BzKIpRwcQAXYrf75pHt94fjv/uTobr9fkpsXJQ17fm5mlTBoXxOz49pPIDMNgQUoUnx92YJpmnwdkb8+vobnNy5Kp0QNW6ytrv8XDpe+Tjh+PnPcrkpPPGbC1T8ZmtfDpfecP6sBwETm1aEeSiIiIiMgIcqiyEWBAZvUMp0251QTarcxJiDjunr/Nyh9vPJ0LZ8bwk3/n8Oxnh4e0NkdjK58dqmZF+oSjApKFyVGUOpsprm3q89rrD1ZhsxjHBWh99Zc3b+ehsg84xxLGM9d9OKQhUieFSCJji4IkEREREZERJLeyPUCqamjB6Wob5mr6buOhauYnR+Jn6/5HEn+blT/cMI/labE88HoOf/k0b8hqeye7DI/XZEXGhKOuz09uHyz9eT/mJG04UMVpSRGE+PevOcT0evnd6mt4rHoLF1sjeey69/APCO/XmiIivlCQJCIiIiIyghyq/GIn0sHKkdneVt3Qwr7yehadZK6On83C4zeczsWz4njwjd08vWFowqQ1WSVMjg4mbULYUddnxIUR6m9jS15Nn9ataWwlu8TJkqn9m49ker08+o/LeKJuN5f7xfKLa9/Dbg/q15oiIr5SkCQiIiIiMoIcqmwkvuO0rwPlI7O9rWs+kg8Dmu1WC7+7/jQumhXLw2t2U9KPtjJfVDW0sPFQdddpbUeyWgzmJUf2eUfSp4eqME1Yktr3+Ugedys/e/kinm86zI2Byfzs6new2vz6vJ6ISG8pSBIRERERGSFM0+RgRQNnT4vG32bh4Aidk7TxUDVBflYyEnxrxbJbLdx3yUxME97KKh3U2t7OLsNrclxbW6cFyVEcrGjA0dja67U3HKgiNMDGHB+/7mO1tbm476ULea21jDvD0vjBVf/GYtX5SSIytBQkiYiIiIiMEI7GVpxNbUyNCWXK+JARO3B7Y241C5KjsFt9/3EkJTqYWRPDWDPIQdKazBKmjA9memxot/cXpkQBvZ+TZJom6w9UsXjyOGy9+Lo7tTQ7+faLF/COp4ZvRy3gm5e/jGHRj3MiMvT0/zwiIiIiIiNEblX7iW1TxgczNSZkRO5Iqqxv4WBFg09tbcdamTGRHQW1FNW4BqEyqKhvZnOeg5UZE3s8iSwjIRw/m4XP83oXJB2udlFc28TSPrS1uRoquPvlC/nYbODHcedx26pner2GiMhAUZAkIiIiIjJCHOoIjqaMDyE1JoTi2iZcre5hrqp3NuVWA7B4Su+DpBXp7e1mg9Xe9k52GeYJ2tqg/TS5uQkRvd6RtOFAJQBLUns3aNvpLOCrr17M52YT/530Ja656Le9+ryIyEBTkCQiIiIiMkIcqmzA32YhPiKQqTEh7dcqGoe5qt7ZmFtNiL+N2RPDTv7wMZLGBZGREM6azMEJkt7cVcq02BCm9dDW1mlBSiTZJXU0tvge4q0/UEV8RCDJ43w/Xa2w8FNue20Vu41W/m/qDaw67xGfPysiMlgUJImIiIiIjBCHKhtJiQ7GYjG6gqSDlfXDXFXvbDpUzYLkyD7NCYL2XUm7ipwUVA9se1uZs5nP8x2sSJ940mfnJ0fh8ZrsLKz1aW23x8vGQ9UsTY3usWXuWO9u+G+ufu9rlOLh8Vnf4MIlP/LpcyIig01BkoiIiIiMWLsKa/nRa5l4vOZwlzIkDlU2MKUjQJo0LhibxeBA+ciZk1Re10xuVWOf2to6dbadDfTQ7bezS0/a1tZp3qRIDAO2+DgnaVeRk/oWN0t8mI/U2lLPz19ZyXcOvUgKdl5d/gxnLrjbp/eIiAwFBUkiIiIiMiKZpslP/53Ni1sKOVw9stq7+qLF7aHQ4WLK+PYgyc9mYdK4oBE1cLtrPtLk3g+c7pQQGcTcxAjWZJUMVFkAvJlZyoy40K6dXicSFmBnZlyYz3OSNhyowjDgrCkn/roLCzdy89+X8vemfG4MSuHZ6zcQH7/Qp3eIiAwVBUkiIiIiMiJ9uK+CXUVOAA6Uj6z2rr7Ir3bhNdtPbOuUGhPKwcqREyRtPFRNaICNtD7MRzrSyowJZBfXcbhqYALEktomtuXXsNKH3UidFqZEsaOgljaP96TPbjhYyeyJ4UQG+/X4zPuf/oJr3vsqBbj5deqN/PArr2P3D+7xeRGR4aIgSURERERGHNM0+dW7B4iPCARg/whq7+qrI09s6zQ1JoT8ahet7pOHGaeCjbnVnJEShdXi25ygnlyaPrDtbZ2nwK3IOPl8pE4LkqNoavOQXew84XMNLW52FNT22NbW1tLI/7yyiv84+AJJ2Hhl2VNccOYPfS9eRGSIKUgSERERkRHnvT0VZBU7+daFqSREBrJ/DOxIOtSx82jyETuSpsaE4PGaI6K1r6S2ifxqF4sm930+UqeJEYHMmxTJmwN0etuarFJmTQwjJdr3HUALUiIBTtretulQNW6vydKpxwdJxcVbuOXvS3i+6TA3BCbz3PXrSUhY1LviRUSGmIIkERERERlR2ncj7WfSuCCuOC2e6bGhI2rgdF8dqmxkYngAQX62rmud83xGwtffNR+pH4O2j7QifQJ7Suu6Ara+KqpxsaOg1qch20eKCQ0geVwQW/JqTvjchoNVBNgtzEuOPOr6hxt/yVfW3UYebTw25Truu/oN/PxDe12/iMhQU5AkIiIiIiPK2pxydpfWce/5qdisFlJjQ8mtavBpVs1IduSJbZ2mjA/BMBgRA7c3HqomPLB9SPVAuDR9AoYBb/VzV1JnW9vKdN/b2jotSI5ia74D7wlODVx/oJKFKePwt1kB2L33X9zz3GLu3f8sidh45cI/s2zJ/X0rXkRkGChIEhEREZERw+s1+fV7+0mJDuayue0/+E+LDaHNY5I/Atq7+so0TXIrG4+ajwQQ6GclITJwRAzc3pTXPh/J0s/5SJ3iwgNYMCmq3+1tazJLyUgIJ2lcUK8/uyA5ilpXW4/f/1JnE4cqG1k6NZp9+9/kW387i2s2/4QdnnrujTyNv12/nsTEs/pVv4jIUFOQJCIiIiIjxtqcMvaW1fOtC9p3IwFMi21vB9pXduqHKX1VUd9CQ4v7qBPbOk0dH3LKn1pXVOOi0NE0YG1tnVZkTGBfeX2fv/5Ch4tdRU5WpPfc1lZRns13/raEa/4yl9++djU7s17A424FYEFKFNDznKT1B6pI8d9JVt5NXLXxR3zudnJ3xBzeuXItX/3Sc2plE5ERSUGSiIiIiIwI7buRDjBlfDCr5nzRhtTZ3jWaB253d2Jbp6kxIeRWNeI5QXvVcNt4qH0+0kAM2j7SJbPjMIy+n97WuZvp0h6CpLc//hmXv3Ut6921+BkWnqnbzU3bf8G5fzud+144j93Zj5IcWsvneccHSbl5H7Bu+9VUp7zIFq+Tr4XN4u0r3uLrlz1PaFh8n+oVETkV2E7+iIiIiIjI8Hsru5R95fX85tq5Rx0fH+hnJSkqiAMVozhI6jqx7fggKTUmlFa3l0KHi+RenDp2pMNVjazNKePOsydjGAPTenakjbnVRAbZmR47sDtwYsICWJjc3t72rQtSe1W7aZq8sauEuYkRJEYd3dZWW5PHw2tuYa2nhgz8eOS8X5GcfA5OZwEbd/2FTwo/ZkNrBWvyX8MSb1LotPLU63NZOvNq/O0h/PnTn/HW/2fvzqOjqs8/jr/vzGQhmcmeTFaSkJWEfd8XgYiigLhb97q1tlpr7c+2ttqqtbVqq63aqrWKWBcEUaEqEUEWQZYgSxLISlayTvZ1lvv7IwkGCMnMZGHxeZ3jqZ2593u/Ezye8cn3+TzmStxcVC5qj+Sxq1/Exzd6QD+7EEKcLVJIEkIIIYQQ5zyrTeX5L7KJC9Jz2ZjTQ5HjggxknQeTy5yVW9mEp6sWo5fbae91BXDnVDQ6XUh6fUc+K3cWMCnKj4mRvn3f4ABVVfkmz8S0Ef4Dlo/U3WVjQ/ntusNklTeSEGx/oerFzTlkHK/nTytGn/T61m+e59H0V6nVwH1+E7jtklfQubgD4O09nMVzHmUxYLW0c/jIWlbve4cDSh7P16Tx/NdpALjbVK52G8Ga9KXMWrEYH9/wAfu8QghxtklrmxBCCCGEOOetP1hKdkUj9y+MO+k0UpeEYD3Hqppot1yYk9u6Jrb1dOImtquQ1I/A7a7Ws7VpxU6vcSZFphZKalsGvK2ty+LkYDQKbDhYavc9X2SU82xqFsvHhXLt5AgAmhrLeOydFO498ho+ipZ3pv+RO5euPFFEOpVW58rYUddx3cKVHMr7E49EP8/vwy7mp77j+PTyDwgM+ys11hBmxQYMyOcUQohzhRSShBBCCCHEOc1qU3l+UzYJRgOXjuo5yybeaMBiU8mvujAnt/U0sa2LBLkeiQAAIABJREFU9zAXggxuZDt5IquqsY3sikZcdRo+OVBKm8Xan62eZmdeFcCAB213CTS4MW2EP+sPHUdV+86Jyqlo4GfvfUtyqBd/unIMiqKw99s3uPL9RaxtK+V2fTzv3bCdxISldj1/ZIgXBjcdB6oDWbHwGe5a+hYBAYlsz6kiLkhPsHfPhSghhDhfSSFJCCGEEEKc0z4+UEJeZRM/Wxh3xtaouKCOlqYLMXC7ud1CSW1LjxPbusQZ9U6fSNqV13Ea6d55sdS3Wvgys8Kpdc68vokAvStxQT0Xwux1vHQfG7b8jkPpq2lqLDvpvSVjQsirbCLzeO9//nUtZu5cuQ83nYZ/3TQJxdrIM6uXc/u3z6AB3pzwMA9cucahaWpajcKESN+TArdbzVZ255uYFSenkYQQFx7JSBJCCCGEEENm/cFSPN10zIsPtCsY2WK18cKmHBKDDVycHHzG60YEeqK5QCe35VV2nLLqKWi7S2ygnjVpJaiq6nBY9s7cavRuOu6ZN4K3vylgTVoJl5xhipmjVFVlZ241U0f4Ox3iXVuTz6tf/Ix3m3JpVxQo+BD2QrBVJUbrSYxHMGGGGJI93diwz0BS6JyT7m+oL6Gs4hAlVUf46Nt9DNcex3+4mUfWNZFva6Vaq3CNezgPXrYSD32QU3ucEu3HXz4/Sk1TO76eruw9VkObxcZsKSQJIS5AUkgSQgghhBBDorqxjfve2Y9NhTHh3tx3URwLRgb1WmD46NtS8qua+OeNE3sNanZ30RLl73lBFpK6JradqbUNOnKSGtsslNW3EuI9zKH1d+VVMznKFzedluXjw3h9ez7VjW34608P9nbUsepmyupbncpHam6uYtUXD/Cf6v00K3C5azDXjbub8to88qrSyW0oIq+9hr2NubQ158FwWGlaz2evq0Ro3KmztVOm2Gjs/s/NMNC6qwRZIUTjxlS3AJbFX82Myff263NO6gwo31tQw6IkI9tyKnHRKkyNHpx2PiGEOJukkCSEEEIIIYbEpiMV2FT4yfxYPjpQwh0r95Ic6sV9C+JISTKeVlCyWG288GU2yaFeXJxs7HP9OKPe6Zygc1luZRMaBSL9Pc54TWxna19ORaNDhaSK+lZyK5tOBE6vmBDGK1vz+ORAKbfO7P+4+q4Q7+kOFJLM5mbWfvkw/yz5kiqtwjytF/fPfIzYmBQARgELul1vtbRTenwPH+/+nF35+zAGNVFpayBCZ2CKuy8hHsE0t/vxySEtk+In8uhVl6Nz6X+RrLuxET64ajXsOWZiUZKR7dlVjB/ui6eb/OeWEOLCI/9mE0IIIYQQQ2JjejlhPsN4MCWe+xfGsW5/Cf/YnMPdb+1jZIgX9y+IJSUp+MTJo7X7SyiobubVmyfZ1RYVbzSQmlFOq9mKu4vWqT2qqsryF3ewfHwYtw1AIQU62vme+fwo/7t/Nh6ujn/9zqtsJMLPo9fP1DW5Lbu8kdlxgXavvbMzH6nrxFBisBfJoV6s3V8yIIWkXXnVBBrces136mKzWti440n+nvMBhVqYoHHjufEPMH7Mjb3ep9W5EhExkxv8JvPXJ7/gjuQRPHNJ4on300vruPLlr0kO9ea3V09Dpxv4mFh3Fy1jwr3ZnW+iurGN9NJ6HlwUP+DPEUKIc4GEbQshhBBCiEHX3G5hW3YlizpPHrloNVw9KYJNP5/Lc9eMpc1s5Z5VaVz6wjY2HDxOm8XK37/MZnSYNwtH2pdbE280YFO/yxRyRl5VEweK63h3d5HTa5zqvT1FHKtuPnE6x1G5vUxs6xKgd8XHw8XhwO1dedUY3HUkh3qfeG3FhHAOFteR3c82QVVV2ZlXzTQ78pF27vsn16+cxEP5H+CqaPhHwm28cfOePotI3fl6ujIzNoANh0pPTG+rbmzjrpX78Bnmyss3TsB1EIpIXSZH+3G4pI5NnWHlErQthLhQSSFJCCGEEEIMum3ZVbRZbCxKOrlFTafVsGJCOKk/n8vz143DbLVx73/TmPmnzRSZWnhgUZzdIc3xxo72ruwK5wsge491TN46Wt5AQbXzBakudS3mEwWkzUcdn4Zms6nkVTYyIqD3Ez2KohAbqCfHwda+XXkmpkb7oe2WI7R0bChajcKatBKH99tdbmUTlQ1tvba1tbXW8YtVc7jr8IvUqlaejLicD27aw9xpP0fROP6fKkvGhFBkauFQSd2Jf5YqG9v4100TCTK49+fj9GlKlB8Wm8pLW3LwctcxJtxnUJ8nhBBnixSShBBCCCHEoNuYXo6Xu44p0X49vq/VKCwbF8bGB+bywvXj8fd0ZWasP/MT7J+iFR3giU6j9Ctwe3d+DR6uHS1kqRnlTq/TZcvRCiw2lTCfYWw+UnnipIy9SmpbaLPYiAnq/UQSdLS3OXIiqayulfyqptOCsAMNbsyND2Td/hKsNsf2292uzra56TE9F5Ia6ku4590FfG6t4ae+4/jkB1+z9KI/otW5Ov3Mi5OCcdEqrD94nCc3ZLIrz8RTV4xmbMTgF3UmRPqiKB0B4zNiAk4qzgkhxIVECklCCCGEEGJQWaw2Nh0pZ8FIIy7a3r9+ajUKS8eG8vkDc3j7jmkOjYx31WmICvAkqx+B23uOmZgdF0BisIGN6f0vJG3MKCdA78Y982IoqW0hp8Kxvdkzsa1LbJAeU1M71Y1tdq29M68KoMeJaismhFFW3+p0O17H+tUYvdyI6iEkvKrqCLevuZRvaeVPkVdw19K3cHUzOP2sLt4eLsyOC+StnQW88fUxbp8ZzZUTw/u9rl3PHuZCYrAXIG1tQogL26AVkhRFeV1RlApFUQ53e81PUZRURVGyO//Xt/N1RVGUFxRFyVEU5aCiKBMGa19CCCGEEGJo7S2oobbZfFpb22CIN+qdPpFUXt9KoamZyVF+pCQZ2Vtgsrso05M2i5WvjlaycGQQCxI7TlY52t7WlfdkT1h1V+C2vcWqXbkmvIe5kBTiddp7C0caMbjrWJtW7MBuv9PUZuHrnCqm95CPVFy8i1s+vpoCrPw96W6WzPuDU884kyWjQ2gxW5kZ68+vL03s+4YBNCXKF4DZUkgSQlzABvNE0hvA4lNeexjYpKpqHLCp8/8DXALEdf51F/DyIO5LCCGEEEIMoY3p5bjqNMyJt3+amLPiggwUmpppabc6fO/u/I58pCnRfqQkB2NTYdMRx3ONuuzMraaxzUJKspFQn2EkBhvYfKTSoTVyKxvx8XDBz7Pvdq+4zowoe9vbduZVMyXa78SUvO7cXbRcNiaETw+X0dRmcWjPAE99mklti5kbp0We9PrR7A3ctPEOahWVVyb/mllTfurw2n25fGwojy9L5sUbJqDr4wTcQLtzzgieWjGaSP++C39CCHG+GrR/s6qquhUwnfLyMuDNzr9/E1je7fWVaoddgI+iKCGDtTchhBBCCDE0VFUlNbOMmTH+6N10g/68eKMBVf2uJcwRe46Z8HTVkhTiRXKoF6He7v3KSUrNKMfDVcuMmI7TKfMSgthzzERDq9nuNXI7g7btafEL9XbHw1VLth2tfSW1LRSamnsNwr5yQjgtZiufHS6ze78A27OrWLWrkNtnRjMp6rtMrLQDK7lt+/+hAd6c8xzjRt3g0Lr2ctVpuGl6FD4ezmctOSvc14Prpwwf8ucKIcRQGuqMJKOqqsc7/74M6DrfHAZ0n7Fa3PnaaRRFuUtRlL2KouytrHTsNzpCCCGEEGJoHSlroMjUQkpy8JA8LyG4o73Lmfa23fkmJkT6otNqUBSFRUlGtmVXOnW6yWZTSc0oZ258IO4uHeHd8xMCsdhUduRU2b1ObmWTXflI0DG5LSZQb1cRrSv76ExB2AATI30Z7ufB2v32t7c1tJr55QcHGBHgyUMXJ5x4/atdz3FX2tP4qwpvLX6D2JgUu9cUQghxbjlrYdtqx8gKh8dAqKr6iqqqk1RVnRQYOPjHo4UQQgghhPM2ppejKLBgpP3T1/oj0t8TF63icOB2XYuZo+UNTO52giYlOZhWs42t2Y7/8vJAcS0VDW2kJH+XCzUh0heDu87u9rb6VjOVDW12TWzrEhekt+tE0q68anw9XEgwnjngWlEUVkwI4+vcakprW+x6/pMbMimrb+WZa8aeKKB9/OWvuf/I68Si483lHxIaOsm+DyOEEOKcNNSFpPKulrXO/+1qOi8BIrpdF975mhBCCCGEOI+lZpYxPsKHIIP7kDzPRathRICebAdPJO0rMKGqMKkzLBk6spK83HVOtbelZpSj1SjMT/iugOai1TAnLpAtWRV0/E61d98FbdtfSIoJ0lNW39pn+9zO3GqmRvv3mI/U3Yrx4agqfLi/76/mm49W8O6eIu6aE8OE4R0/xzc33Mlvij5hkjKMf1/9GX5+sXZ/FiGEEOemoS4kfQzc0vn3twAfdXv95s7pbdOAum4tcEIIIYQQ4jxUUtvC4ZL6IWtr6xJn1JNV4VghaXd+DS5ahfER3xWSXLQaLkoMYlNmORarzaH1NmaUMzXa77ScnnkJgZTXt5F5vO/95XZOX+tpYlt5+UGam09vkYvrPL2U21mE6kmRqZmS2pYTbW3NzVX897N7+cWqObyw9ho+2/p7cnNTsZhbGe7vweQoX9amFfda/KprNvPwmoOMDFS4fEQun297nMfeSeGZql0s0vjw0nVf4qkf2n8OhBBCDI5BSzxUFOUdYB4QoChKMfAo8CfgfUVRfggUANd0Xv4/4FIgB2gGbhusfQkhhBBCiKGRmt4R0rwoydjHlQMr3mhg/cHjNLdb8HC17+vunmMmRoV5M8xVe9LrKcnBrPu2lL0FNUzrJZi6u7zKRnIqGrlx6umhy3MTOqIZNh+tICnUq9d1cisb0WkUIvw8Tnr9m7RXuPfAC7gAl3tEcu2knxETswiA2M5CUnZ5A+MifHpcd2deRz7S6IA6Xvrwet6pPUStRiHIqpJqMWFryIT8D3BRVUaoWkJcvXBv9Gb1F7uYM+pijMax1Nbmk1+0g/yKA+TX5nKwphjvoFZKdXDdru9OOV3nHsHDV65Dqxv64GshhBCDY9AKSaqqXn+Gtxb0cK0K3DtYexFCCCGEEEMvNbOcmEBPh1qzBkK8sauY0sjYMxRTums1WzlYXMvtM6NPe29OfCCuOg2pGeV2F5K6WuEW9lBACzK4MzrMmy1HK7h3fu9tXrmVjUT6e+DSbYT9vgNv8tMDLxChakh08+eDlgLe2f5zJm9z45oRS5k7+QFctRpyegncTsvYwvywV7l7h4lWjcJ8rTe3jfsR48fcSFtrHXkFW8gp3U12dQZZTaVkWGuoCKzl29ICKH0bV1WlvdsUOVdVJQSFaAws844i2i+e6OAJREbMxMMjwK6fmRBCiPPH4M9gFUIIIYQQ3zt1zWZ25Zm4a86IIX92XGeAdFZ5g12FpANFtZit6klB2130bjpmxvizMaOMR5aMRFF6zxSCjra25FAvwn09enx/fkIg/9icQ12zGW8PlzOuc+rEtgOH3+XHaX/BqGp4den7BAQk8pAph3U7/sj7lXt4KH81ATnvMz8knJKSm4GRJ62XfmQtb+z9GxttJjQGWOoWwi3THmZE9He/53Vz92ZkwjJGJiw76d77V35KaelWrhjbQHFjEUYPI9EByQT6T+Tmdxqweun5+70zcdWdtVk+QgghhogUkoQQQgghxIDbfLQCq00d8rY2gEg/D1x1GrIr7JvctueYCTg5aLu7lORgNq89xNHyBhKDe29Hq2xoI62whp8tiD/jNfMSg3jhyxy2Zldy+djQHq+xWG0UVDed+PmlH1nLj/Y8gb+q8NqSVQQEJALg5xfL7Ze/zi2Wdnbse5n3jr7LNn0xCn/k/rde5NqRPwBV5fWMN/iGVvQ2lbG1Qcwf/TC3LUzp82fTZfmUidz2ho07h0/khm6ZV/e9s5+alnre/OFYKSIJIcT3hPzbXgghhBBCDLiNGWUEGtwYF973iaCBptNqiAnUk2Xn5Lbdx2pIMBpOC8busmBkEIoCG9P7nt62KbMcVe09F2psuA++Hi5sPlpxxmuKalowW1ViAvUczVrP3Tt/h0FV+PfiNzAax5x2vVbnypyp9/PizTu51ecxxtYY2W+p4+70l7k745/kW1t40H8qP4l9g63lDzJ7zPQ+P0t3s+MCCNC7sjbtu+ltnx46zscHSrlvQVyfeU9CCCEuHHIiSQghhBBCDKhWs5UtRytZNi6sz/HygyXeqGfvsZo+r7PaVNIKalg+vueTQdCRazQ+woeNGWXctyCu1/U2ZpQT7juMkSGGM16j1SjMjQ/kq6OV2Gxqjz+jroltXpa93LnjEdxVeG3RK4SETuzzM8VFz+CFXcP4eMU4So69ik21kTL9/3Bx8+T+d/cTaHBzOLdKp9WwbFwYK3ceo7a5HYtN5TfrDjM6zJsfzYtxaC0hhBDnNzmRJIQQQgghBtTO3Gqa262kJA99W1uXeKOBktoWGtssvV6XebyexjZLj/lI3aUkB3O4pJ7S2pYzXtPUZmF7ThUpScF9ZinNSwiiuqmdQyV1Pb6fW9nIcNcMnkp/BK0Kr130IhER9p0i6prcdqxW4ZK5j7Fk3h9wcfNEVVV25lYzbYS/XVlPp1oxIQyzVeWTA6X8dt1hGlstPHvN2JPCwIUQQlz45N/6QgghhBBiQG3MKMPTVcuMGPumnA2GuKCuyW29t7ftzu/IR+qzkNTZqtY1ka0nW7MqabfYTmpryzz6EQ+tmsPi10fz2DspbN/9d8xtTcyJD0RROGN7W2HxTrSRb2BT4LW5fyUqam6v++suOsATjQI5p3z2/KomKhramDai9896JkkhXiQGG3g2NYtPD5fxwKJ44o1nPnklhBDiwiSFJCGEEEIIMWBsNpXUjArmJQThptOetX10FTiyy3sP3N5zzESYzzBCfYb1et2IQD0xgZ5szCg74zUbM8rx8XBh0nBvdu37F3e9OYVrdj3CdrOJGJ2eT1tL+VHmK8z571SeXncxl4Z9yvYjOaetU1q6l29a/0S7Aq/M+jMxMYvs+MTfcXfRMtzPg5zKkz/7zrxqAKaPcK7ApygKKyaEUdtsZlyED3fOjnZqHSGEEOc3yUgSQgghhBADZn9RLVWNbWe1rQ0gws8DdxcNR3s5kaSqKnuOmZgdF3jiNbO5mdSv/4xO48LY+KUnBVunJAfz6tY86prNeHu4nLSW2Wpjc2YJl0Zs5MZVvyRDYyXAqvKzwMlcM/cJDF5htLXW8c2B1/kibwObW8uoNXyFm20L9618kkUR85k74W5aWmu447PbaFJUUlzvIiFuiVOfPzbIQM4pU+t25lZj9HIjOsDTqTUBrpoYwf7CWn65OBGdtLQJIcT3khSShBBCCCHEgNmYUYZOozAvIWhInqfabDQ3V+CpDz7pda1GITao98lt+VVNVDW2MznKD6ulnU+3P86Leeso7jpIlfcewVaVsa5+jPUbSZJ+KorNm81HK1g+PuzEOm2tdfx7w8MEhW3lE52GSCs8GrqIy2c/ipu794nr3Ny9mTP1AeZMfQCLuZX1219hzcHVHDbUsLnwI3QF6zCo0KaAX+Eyhi9Y6vTPJTZIz1dZFVisNnRaDaqqsivPxKxY5/KRuvh5uvLyjX0HfgshhLhwSSFJCCGEEEIMmNSMcqaN8Md7mEvfF/eT1dLO71dfykdtZczSGLgy9grmTL4PnYs7APFBBr7OrT7j/R1T3Wy4NbzFVW+9T47GRoKi4R8Jt+BniOBA4SYOVmdyoN3E55VfQ+XXeCWovL1XS05ONGNDplBgOsqqqn1UaxVG2LT8OfoaLp7xS7Q61173rnNxZ+ncn/LEjiSmB3hzx9hcNh15j/2NBayIvIsHjkYwItD5k0OxQXrMVpUCUzMxgXpyKxupamxjmpNtbUIIIUQXKSQJIYQQQogBkVPRSF5lE7fOiBr0Z1kt7fzu/Uv42FzBRVpvDpnruD/7LQKPrGSZdyIrpjxInDGItftLqGsx91jYOpj+OuOj1/BYicpwFZ6OupKLZz2CRtvxFXl08tUnrq0oP8zB7E9Yn7mFQlsZ7zTl8GZuLgAztJ40Vc7DLeBKLp0zxe7PoNEozEsIJDWjnL9edw1jR10HwLu7C4FDxAbqnf75fBc23khMoJ6dnQW16WcxAF0IIcSFQQpJQgghhBDnsFazlac/O8qdc6IJ8e49EPps6wqiXjhycPORrJZ2fvveYj6xVPJj7zH8aPnbWMytbNv7D9Zkr+H1hiO89uVdTLS6McV7NEdKRjE1NvLE/YczVvPCnr+wU2khUGfj0dCLWTbvCVxcPM74zCDjKBYaR6EN/CG3/WcPr/0gCaNmLx7uPrS4T+Gyv2/n6bkhDn+W+QlBfLCvmG+LapnUOTkut7IRN52mzwDw3sR0FpJyOwO3d+WZCPV2Z7jfmT+jEEIIYQ8pJAkhhBBCnMO+zq3i9R35lNa28M+bzu1smtSMckaHeferANIXq6Wd37x3MRssVfzEZxx3L3sL6GgVmz/9F8yf/gvKyr5l3TfPsLb6W46H7uXBrZeydH8ss6IvZnXmf/nCVoevTWVsVQxzJ/2Bq+aPtfv5M2L88XTVsim7kadWdJxY+mtqFhoFFox0PBdqVlwAWo3C5qMVJwpJeZVNRAd4otU4n2Wkd9MR6u1OTkVjZz5SNXPjA/uVjySEEEIAyKgFIYQQQohz2L6CGgA+Sy/j65yqs7ybM6uob2V/YS0pSYN3GslibuVX7y5ig6WK+30nnCginSo4eBz3LFvF/27eT0LpfBKtBt5pyuXu9JfZaanlx95j+HnyKrZX38XkbieV7OGm0zIvMYjUjHJsNhWAjRnlTIr0w1/v5vBn8h7mwsRIXzYfqTzxWm5l44kTRf0RE6Qnu6KBrPJGqpvamSZtbUIIIQaAFJKEEEIIIc5haQW1JBgNhPsO4w/rM7BYbWd7Sz1KzSwHYFHy4BSSLOZWfvVeCp9aTfzMbxJ3LH2zz3t0OhfMhmtoVZ7ni8vW8pfoq/h02Uf8aPnb7D+uY5iLluRQL4f3kpJkpKqxjf1FtRSZmsk8Xs+ifhTQ5icEkXG8nrK6VtosVgpNzcQEOB+03SU2SE9uRRNf53YUIKdL0LYQQogBIIUkIYQQQohzlMVq49uiWqaN8OM3l47kSFkD7+wpOtvb6lFqRjnD/TxIMBoGfG2zuZn/e28Rn1lr+Ln/FH54+X/svjfOaOBoeQP+AfEsnvMovn4xAOw+VsOESB9ctI5/HZ6XEIROo5CaUU5qRmcBrT+FpMRAAL7KqqCguhmbyoCcSIoLMtBitrImrZgwn2FESD6SEEKIASCFJCGEEEKIc9SRsgZazFYmRPqyeFQw00b48dzGo9Q2t5/trZ2kodXM1znVLEoyDngGj9nczP+9ezEbrbX8ImA6t132b4fujzfqqWxoO+lnVtdi5khZPZM7M4kc5T3Mhekx/mzMKGNjRhkJRgNR/ThBlGA0EOLtzuYjleRWdIRjx/RjYluX2M5i1OGSepnWJoQQYsBIIUkIIYQQ4hyVVtiRjzRhuC+KovC7y5KpazHzty+yz/LOTrY2rYR2q40lYxyfWtYbc1sTv3w3hVRbLb8MnMEtS15xeI24zhNSWeWNJ15LK6hBVWGKk4Uk6DiBlFfZxDf5pn6dRgJQFIV5CUFsz6niSFkDANED0NoW1+1Uk7S1CSGEGChSSBJCCCHEBUlV1bO9hX5LK6ghyOBGuG/HFLSkUC+unzKct3YVkF3ecJZ318FqU3l9Rz7jInwYH+EzYOua25r4xfspfGGr4+GgWdx06b+cWif+RCHpu5/X7mMmdBqF8cN9nd7fwpEdxSNVhZQByIWanxBIY5uFD/YVE+rtjqdb/4cr+3q64u/pCiBB20IIIQaMFJKEEEIIcUFparPw4PsHmPLHTedcC5ij9hXWnDiN1OXni+LxcNXyh/UZ50SxLDWjnILqZu6cPWLA2tqqq7L48bvz+dJWz6+Mc/jBJS87vVaotzt6N91Jhbc9+SZGhXkzzFXr/Lo+wxgT7k2Itzujw7ydXqfLzNgAXLQKJbUtjBiAtrYu8UYDkf4ehPkMG7A1hRBCfL9JIUkIIYQQF4yM0nou/8d21qQVU9nQxldZlX3fdI6qaGilyNTCxMiTT83469342cJ4tmVX8eWRirO0u++8ti2PcN9hXDxA09p273+Nqz5ewX5bM38Iv4QbFr/Yr/UURSE2SH+ita3VbOVgcR1Top1va+vy3DVjefXmSQNSQPN00zE1uuPUUExg/9vaujy+fBQv/WDCgK0nhBBCSCFJCCGEEOc9VVVZtauA5S/toLHVwn/vmIqvhwtbjp6/haS0gloAJkSe3i528/RIYgI9eXx9Bu0W21Bv7YT9hTXsLajh9pnR6JyYftad1dLOy+tu4M4Df0OPhrdn/ZkrFjw9IPtMMBrIrug4kXSwuI52q83poO3uYoMMjBqA00hd5iV0TG8biIltXWKD9CSHDtwehRBCCCkkCSGEEOK8Vt9q5if/3c8j6w4zfYQ//7t/NjNiA5gbH8hXWZVYbWe//csZ+wtrcNVqeiwCuGg1/PayJI5VN/PG1/lnYXcdXtuWj8FdxzWTI/q1TmVFOnetmsFLdYdY4hLEe9d8QULckgHaJcQZ9VQ1tlPd2MaeYyYAJkU6n480WC4ZHUKkvwfTJBhbCCHEOUwKSUIIIYQ4bx0oqmXJC9v4LL2Mhy9J5D+3TiZA7wbA/MQgTE3tHCyuPcu7dM6+ghqSw7xwd+k5x2deQhAXJQbxwqYcKhvahnh3UGRq5tPDx7lh6nD0/QiG/nrPi1y14VoOqq38IfwSnrz+Czz0QQO40+6B243szjcRF6THtzOE+lwS5jOMrx6af2K/QgghxLlICklCCCGEOO+oqspr2/K46p9fY7PB+3dP4565MWg032XVzIkLRFFg83nY3tZusXGwpI6JfUwVe2QPifFgAAAgAElEQVTJSFrNVp75/OgQ7ew7r+/IR6Mo3Dojyqn7LeZWXlh7Nfekv4yfquHdOX/ligVPo2gG/utpV2HmSFk9aQU1TB6AfCQhhBDi+0oKSUIIIYQ4r9Q0tXPnyr08sSGTeQlBbLhvFhMjTy8M+Hq6Mj7Ch6+Onv1Aakell9bRbrGdFrR9qhGBem6bGcX7+4o4XFI3RLuDuhYz7+8p4vKxoYR4Oz4NrOz4fn749kxebTjCFW4h/Pe6LcTELBqEnXYwerlhcNfxyYFSGtosTBmAfCQhhBDi+0oKSUIIIYQ4bxwqruPSF7bxVVYlj16exCs3TcTH48wtSvMTgjhQXDcgrV9bsyopqG7q9zr2SCvsCtruO8fnpwvi8PNw5fefpKOqQ5MH9c7uQprardwxO9rhe7d+8zxXfXYTmWobT0Uu5/fXpzLMY3ALO4qiEG80nPi5yokkIYQQwnlSSBJCCCHEeeNPn2Visams+dEMbpsZ3efY9fmJHVk7W7P6195W09TOD9/cw+1v7KHVbO3XWvZIK6ghzGcYRi/3Pq/1cnfhoYsT2HOshvUHjw/63totNt7YcYwZMf4OTwP7YvtT/DTzVYLR8v78F7ls3uODtMvTxRs7JqGF+QwjzMfxU1RCCCGE6CCFJCGEEEKcF8xWG2kFtSwZHcKYcB+77kkK8SLQ4Mbmfra3fXKwFLNVJbeyiWc3Dn4eUVphjV2nkbpcPSmC5FAvnvpfJi3tg1vo2nColLL6Vu6cPcKh+7bv/jsP5bzNKNWVlVenEhU1d5B22LOunKTJUefetDYhhBDifCKFJCGEEEKcFw6X1NFitjLFgbYkjUZhXnwgW7MqsVhtTj97TVoJicEGfjB1OK9tz2dv5wj5wVBa28LxulYmDrevWAag1Sg8enkypXWt/Ofr/EHbm6qqvLo1n9ggPXPjA+2+b++3b/Cz9H8Rq2p5acW6AZ/KZo8ThSRpaxNCCCH6RQpJQgghhDgv7Oks3kx2MCh5fmIQ9a0W9hfVOvXcnIpGDhTVctXEcH596UjCfIbxi9UHaG63OLVeX9IKawD78pG6mxLtx+QoXz45MHjtbTtzq8k4Xs8ds6JPmpDXm8MZq/nJ/mcIVTX88/LVeHsPH7T99WZqtB+/uiSRZePCzsrzhRBCiAtFn4UkRVF+qiiKnAEWQgghxFm1O7+G6ABPAg1uDt03Ky4ArUZh8xHn2ts+3F+MRoGl40LxdNPxl6vGcqy6mac/G5wWt30FNbi7aBgZ4uXwvRcnB5N5vJ4iU/Mg7Axe3ZZHgN6V5ePtK8Zk5XzK3d/8Hh9V4ZVLV+IfED8o+7KHTqvh7rkx6N10Z20PQgghxIXAnhNJRmCPoijvK4qyWOkr1VIIIYQQYoDZbCp7C0xMcvCUDnSEUU+K9GXzUccDt202lQ/TSpgTH0iQoSP4enqMP7fOiOKNr4+xM7fa4TX7klZYy5hwH1y0jh8cX5RkBCA1o3ygt0VORQObj1Zy8/Qo3F20fV5fULCNu7Y+hLsKry56heDgcQO+JyGEEEIMvT6/oaiq+ggQB/wbuBXIVhTlj4qixAzy3oQQQgghAMipbKS22ex0vs38xCAyj9dTVtfq0H278qsprWtlxYTwk17/5eIEovw9eOiDAzS2DVyLW6vZSnpJHROdKJgBRPp7kmA0sDGjbMD21OW1bfm4u2i4cVpkn9ceL93HHZt+hE2BV+c/T0TE9AHfjxBCCCHODrt+1aWqqgqUdf5lAXyBDxRFeXoQ9yaEEEIIAcDu/I58pCkO5iN1mZ/QEe68xcHpbWv2lWBw05HSedKni4erjmeuHktJbQtP/S/TqT315FBJHRabyoThzqcKLEoysjvfRE1T+4Dtq7KhjbX7S7hyQjh+nq69XltVmckdn91KkwL/mvEkI6IXDNg+hBBCCHH22ZORdL+iKPuAp4EdwGhVVX8ETASuHOT9CSGEEEKw55iJQIMbkf4eTt0fb9QT6u3OZgcKSc3tFj49fJxLR4f02Mo1KcqPO2ZF8/Y3hWzLdrxtrif7CjqDth2Y2HaqlGQjNhW+dDITqidv7SrAbLXxw1nRvV5XW5PPneuvo1JReWnSrxiZsGzA9iCEEEKIc4M9J5L8gBWqql6squpqVVXNAKqq2oDLBnV3QgghhDjntFtspJfWDekz9x6rYUqUH85GNSqKwrzEILZnV9Fusdl1z+fpZTS3W1kx4czB0g+mJBAT6Mn/fXCQ+lazU3vrLq2ghih/D/z1jgWKdzc6zJtgL/cBa29rNVtZtauABYlGRgTqz3hdY8Nx7ll3BQWKlefH/IRxo38wIM8XQgghxLnFnoykR1VVLTjDewN3llsIIYQQ54V39xRy2d+3k1fZOCTPK6ltoaS2hclR/RsiOz8hiKZ2K3sLTHZdvzathHDfYUzupZ3O3UXLM1ePpay+lSfWZ/Rrf6qqklZYwwQn85G6KIrCoiQjW7OqaDVb+7UWwJq0YkxN7dw5+8ynkcrKvuXeNZdxRLHwbMKtTJ94T7+fK4QQQohzk+PjQIQQQgjxvfZtYS2qChsHYTJYT/Z05iM5G7TdZUaMP65aDVvsmN5WVtfK9pwqVkwIR6Pp/RTU+OG+3D03hvf3FrO5H+1kRaYWqhrb+5WP1CUl2UiL2cr27Kp+rWOzqfx7Wz5jwr2Z0sPPv6oykz+9fzlLPruRg7TxVPRVzJ/+i349UwghhBDnNikkCSGEEBcwm03lkXWH+Ozw8QFbM720HhicEfM92X3MhMFNR2KwV7/W8XTTMSXaz65iz7pvS1BVWDH+zG1t3f1sYRzxRj0Prz1IXbNzLW77CjsKZo5MbLNa2sk4so63/nc39781k3mvj+L2NybRVvkGBnf63d725ZEK8qqauGP2iJPaCmtMuTy3ZgWXrL+ad5vzucwthPWLXueSuY/163lCCCGEOPfpzvYGhBBCCDF4Vu48xqpdhRSZWlg8KqTf67WareRUNmJw05FWWENlQxuBBufzfOyxJ9/ExChftH2cDLLHvIRAntiQSZGpmQi/noO7VVVlzb5iJkb6EhXgade6bjotz149juUv7eD3n6Tz3LXjHN5bWkEtejcd8UbDGa8xtzWRnrWOvcdS2Wc6wn5bI02dP5cIK0xzC2RfWyUPZK8kIlylsiCZpqaX8fR07jTXq9vyCPMZxiWjggGoryti5ZcP8VbtYVoUuNQ1kB/N+gORkbOdWl8IIYQQ55+zUkhSFOUB4A5ABQ4BtwEhwLuAP7APuElV1YGbWyuEEEJ8zxyrauJPnx0BOsbKq6rqdFh1lyNlDVhtKrfPiub5TdlsyiznuinDB2K7Pappaie7opHldp4M6sv8xCCe2JDJlqxKbpoW2eM1h0vqya5o5MkrRjm09uhwb+6dH8sLm7JZPCqYlORgh+7fV1DDuAif0wpmzY0VrPryQb4xZXJAbaWt8/1Yq8JlHhFMDJnKhMQVGI1jADCbm0n9+s+8nrOOvQEZLH5vDtf6juK62Y8REJBo934OFdfxTb6JR5aMpL2lgv98+RBvVO+nQaOwSOfLj2f8ltiYFIc+oxBCCCHOf0Pe2qYoShhwHzBJVdVRgBa4Dvgz8FdVVWOBGuCHQ703IYQQ4kJhtan8YvUBXLUafjI/FlNTOyW1Lf1et2ta21UTwwn3HTboOUl7jnXmI/USeO2IEQGeDPfzYEsv7W1r0opx1Wq4bHSow+v/ZH4sSSFe/PrDQ5ia7P99WFObhSNl9UwY7nPS60ez1nPt+wv5h2k/DaqFq/Uj+FvsD/jq8g/58PaDPHLdp1wy97ETRSQAFxcPLp37e16/fjcjii8mzurBK3WHuXj9VTz6ziJyc1P73E97WwMrN33GaMM+1JonuGT1Qv5e8y0TtV6snvYkz920TYpIQgghxPfU2Wpt0wHDFEUxAx7AceAi4IbO998EHgNePiu7E0IIIc5z/9mRz96CGp67ZiwxgXr+sTmHQ8V1hPv23M5lr/TSeryHuRDuO4yUpGBWfVNAU5sFT7fB+Uqx55gJV62GMeHeA7KeoijMTwjkvb1FtJqtuLtoT3rfbLXx8YFSFiYF4e3h4vD6rjoNz1w9lmUvbud3Hx3mHzdMsOu+A0W12FROTGxTbTbe3Xgfz5RtwQf499gHmDzesd+xeXm44RNyDbnVS/joag2rdj3FRy3FrN3+c2Zt92Rm0DhqW2sxtdViMjdgsrZisrVjUlQauk5FhcMLNTBD48FPJj3E6OSrHdqDEEIIIS48Q34iSVXVEuAZoJCOAlIdHa1staqqWjovKwYG5gy7EEII8T2TU9HI058fZeFII1eMDyMxxICLVuFQSV2/104vqSMpxOvEiPl2i42tWX1PQXPW7mM1jI3wPq3g0x/zEoNoNdv4pnMaXHdfHa3E1NTOivHhTq+fFOrFfRfFsf7gcTYctC/kfF9BDQDjI3ypqyvkgbdn88fyr5iq0bN6+TqHi0hdUpKNFFQ3Yx42gd9e9xmpyz7iXp+xZNga+XPFDl6tO8ymlmIKLI24KhqSXP1Y6hnNZZY4xpQn8cTw61kz82n+dctuKSIJIYQQAjgLJ5IURfEFlgHRQC2wGljswP13AXcBDB8+eJkMQgghxPnIYrXx4OoDeLhq+eOKUSiKgptOS7zR0O9CksVq40hZw4lsoclRvvh4uLAxo5xLRvc/yPtUze0W0kvquGvOiAFdd/oIf9x0GjYfqWBufOBJ763dX4yfpytzEwLPcLd9fjQvho0Z5Tyy7hBTov36DCRPK6whLkhPfu77/HLPU1Rq4BeBM7hp8UtotM5/XVs40shvPjzMxvQy4o0GfP1iuGfZKn7Y1kRD03G8vYaj1bmedE9Dq5kZT33J/MQgls0f7/SzhRBCCHFhGvITScBCIF9V1UpVVc3AWmAm4KMoStc3pXCgpKebVVV9RVXVSaqqTgoM7N+XPCGEEOJC88q2PA4U1fL4slEEGdxPvD4m3JuDxR2B287KrWyizWJjVFhHm5lOq2FBopFNmeWYrbZ+7/1U3xbWYrGpTI4emHykLu4uWmbE+LPl6Mk5SXXNZr7IqGDp2FBctP37iqTTanj2mrE0tVl5ZN2hXn/uNptKWkEV4wzPc+u+p9Ci8NaUR7llySv9KiIBGL3cGRfhQ+opWVYubp74+cWeVkQCeG9PEQ1tFu6cPbAFPCGEEEJcGM5GRlIhME1RFA+gBVgA7AU2A1fRMbntFuCjs7A3IYQQ4rx1tKyBv6Vmc+noYC4bc/IJodFhPryzu4giUwvD/Z3LSeoK2k4O9Trx2qIkI2vSitmTb2JGbIDzm+/B7mMmFAUmduYGDaT5iUFs/iid/KomogM8AVh/qJR2q42rJvbd1qbabNTU5lF8fB8lVZmU1OVT3HSc4vYaSqytKECiizfXxYdwqDCID3Y0c/WsOT2u9W1OGvHGX/OZq5XFWj9+t/QdDF4D1+Gfkmzk6c+OcryuhRDvYb1ea7Ha+M+OY0yN9mP0AOVSCSGEEOLCMuSFJFVVv1EU5QMgDbAA+4FXgA3Au4qiPNH52r+Hem9CCCHE+cpstfHg6m8xuOt4fFlHS1t3XWHVh0rqnC4kHS6px91Fw4hA/YnX5sQH4KbTsDGjfMALSXuOmRgZ7IWXu+Oh132ZFx8EpLP5SAXRs6IBWJtWQrxRf1KhrEt9XRH/3fIr0uvyKLY2UYKVFs3JP2M/m0oYLox29cOi2jhirqVIWwfhR/hD7lZezlJJ1OkZaYhkZOA4EqPmU3h8H7869BJN7go/97uIW5f8DUUzsAfGU5I6CklfZJRz0/SoXq/93+EySmpb+P3S5AHdgxBCCCEuHGdlapuqqo8Cj57ych4w5SxsRwghhHDa298UEBdkYMoAt1856uUtuRwuqeefN07AX396Hk+80YCrVsPBklqWjHEuzyi9tI6RIV5ouxVQPFx1zI4LJDWjnEcvTzqtgOUss9VGWkEt106OGJD1TjXc34OYQE+2ZFVy+6xo8qua2FdQw8OXJJ70GVpbanhn0y94rfIbGhSIUbWEaz2Z5u5PmCGMcN84wgKSCQuegIc+6LTnNNSXsP3gx7yz63Pc9BUcV5r4ui4da30G5P4XgCibBn35Tdxyy0MomoH5+XUXE6hnRIAnG/soJKmqyqtb8xgR6MlFiad/FiGEEEIIOEuFJCGEEOJCoKoqT6zPJDHEwIc/nnnW9pFeWscLm7JZNi6UxaN6LhK56jQkhhg4VOxc4LbNppJRWs+y8aGnvZeSZOSLzHLSS+tP5Cf1V3ppPS1mK5OiBr6trcv8hCBW7iqgud3Ch2nFKAosH9fRUmYxt/LRlt/wUtHnVGgVZmn0/Gz6IyTEX+bQMwxeYVwy60eUspjH12fwl6vGcHmynuy8L8gs2UGLuZn3jizFGBqEZhCKSEDHhL1kI//elk9dixnvYT2f8Pom38ShkjqevGLUoO1FCCGEEOe/sxG2LYQQQlwQKhvaaDFb2V9YS3FN81nZQ7vFxoPvH8DX07XPdqTRYd4cKnEucLuoppmGNgvJoacXihaMDEKjwMZTAp37Y0++CYApUYN30mt+YhDtFhs7cqpZu7+EWbEBGA2upG7/I1e8NYXHSjcSrLjy+tgHePmWXQ4Xkbq7bUYUU6L8+MMnGdS0uzM6+WquSfkbyy96kYxKhQnDB69gBh3FPotNPS1gvLvXtuXh5+nKlRP6zogSQgghxPeXFJKEEEIIJxWavisefXqo7Kzs4e9fZnOkrIGnrhiNj8fpE7i6GxPuTUOrhYJqx4te6aX1AIzqoZDkr3djYqTvaZPB+mP3MROR/h4Eebn3fbGTJkX54umq5bnULIprWpgbtJUb3pzIz3PfQQs8H3cTq27Zy+Rxt/f7WRqNwl+uHoPFpvLLDw6eKObtL6wBBidQvLtxEb4E6N3O+GeUW9nIF5kV3DgtEncX7aDuRQghhBDnN2ltE0IIIZzUVZAJ0Luy/mApd84Z2nHpB4treWlLLldOCGdhkrHP60eH+XTcV1JHVOekMnull9ah0yjEB+t7fD8lKZgn/5dJkamZCD/nwry72Gwqe4+ZWDCy7890Jua2Jr7NfA9VtaFRdOi0Lmg0OrRaF7SKDo3WBZ3WlUXDi8gqzWZKZCrPmywEqyqPhy/h8rmPo9X1XphzVKS/J7++NJHffpTOu3uKuH7KcNIKa9EoMDbCZ0CfdSqtRmHhyCDWHzxOm8WKm+7kYtG/t+fjqtNw8/TIQd2HEEIIIc5/UkgSQgghnFRoakZR4JbpUTybmjUgRRR7ma0dLW2Bejd+d3mSXffEGfW46jQcKq5l6djTs456c7ikntgg/WkFiC6Lkow8+b9MUjPKub1zCpqzcisbqWk2O93WZjLlcP/H1/CtYu77YhcgErytNh4KnMm1F/0FN/fBG3v/g6mRfHq4jCfWZzArNoC0ghoSg73wdBv8r2QpyUbe3VPErjwTc+MDT7xe3djGmn3FrBgfRkAPQe1CCCGEEN1JIUkIIYRwUqGpmRAvd5aPD+PZ1Cw2HDrOPXNjhuTZB4trya5o5G/XjjtjePKpXLQakkK8OOhE4HZ6af1JxYdTRQV4Em/UszGjrN+FpN3HOvKRJjsxCS83N5V7v/o5VYrKo2EpRAYkY7VZsNrMWG1WrDYzNpul8zULTe3tbMqs5PbFDzI5PrFf+7aHRqPw9FVjuPivW/nlBwc5VFLH8h4CzAfDjJgAPFy1bEwvO+nPctWuQtosNu6Y3b8/NyGEEEJ8P0ghSQghhHBSoamZ4f4eRPh5MDbChw0Hh66QlFXeCOBwSPOYcG/WppVgs6l2T+aqqG+lqrGNUWFevV6XkhTMS1tyqGlqx9fT+bawPfkmAvRuRPk7drrr670v8eChl3AD/jPlUUYnX23XfVctcmKT/RDu68EjlyXxq7WHgMHPR+ri7qJlbnwgqRnlPL6sYzJbq9nKW7uOMT8hkNggw5DsQwghhBDnNwnbFkIIIZxUUN3M8M5WtsvHhHCopI5jVU1D8uys8gaGuWgJ9x3m0H2jw7xpbLOQX23/Pg+Xdpxg6mliW3cpyUZsKnx55MyTweyx51gNU6J9URT7R9C///n9/PjwS4Sg5Z3Fb9pdRDpbrpscceJU0MThgzeZ7lQpyUYqGto4WNLxZ7pufwlVje3cOXto872EEEIIcf6SQpIQQgjhhOZ2C1WNbUT6d4RWXzI6BIANh44PyfOzyxuJDdLbfaqoy+jwjmLQIQfa29JLOia2jQzp/cTK6DBvgr3c2Zjh/AS70toWSmpbmGxnPpLV0s6fVy/l8bIvmaHRs/KqzwgJnej084eKoij87dpx/PPGCQx38ORVf1yUYESrUdiYXobNpvLa9nySQryYHuM/ZHsQQgghxPlNCklCCCGEEwpNHRPbusK1w3yGMWF4R3vbUMgqbyDe6HgrUmygHncXjUM5Seml9UQHeGJw7z2LSVEUFiUZ2ZpVRavZ6vDeAPZ05SPZUUhqbqzg/v/OZVVzPj8YFsUL129Bbwhx6rlng6+nK4tHDe1+vT1cmBrtx8aMcr7KqiSnopE750Q7dPpLCCGEEN9vUkgSQgghnFBY3VFIiuw2pW3JmFAyjteTV9k4qM+uazZT0dBGvFHv8L06rYbkUG8OldTafU/68TqSQnvPR+qyKMlIi9nK9uwqh/cGsDvfhN5Nx8iQ3p9Xdnw/N69exDZbA782zuXhaz5B5+Lu1DO/b1KSjORUNPLEhgyCvdy5bMzQhH0LIYQQ4sIghSQhhBDCCV0nkoZ3LyR1tbcN8qmkrIoGAKdOJEFHC1p6aT1Wm9rntXXNZopMLSTbWUiaNsIfg5vO6fa2PcdMTIj0RdtLy1565hpu+PQmirHyYtLdXL/4H0496/tqYZIRgNzKJm6dGYWLVr4OCiGEEMJ+8s1BCCGEcEKhqRmDuw4fj+/avYK93Zkc5TvoOUlHyzoKSXFOnEiCjsltze1Wu05OpR/vaIEb1UfQdhdXnYb5iUFsyqywq1DVXU1TO1nljUyJOvMUs007/sStux7FBYW3Zj/DrCk/degZomNqXHKoF56uWq6fMvxsb0cIIYQQ5xkpJAkhhBBO6JrYdmq2zJLRIRwpayCn89TQYMgub8DTVUuYj2MT27qMDusoCtmTk5RR2hG0be+JJOhob6tuaietsMahfe0t6Lj+TPlIqz69hweyVxGPC28vXU1c7GKH1hffeWrFaF6+cSLew3rPvRJCCCGEOJUUkoQQQggnFJmaiexh2talo0NQFFg/iO1tWeWNxBoNTgckjwjU4+Gq5VBJ34WkwyV1BHu54693s3v9eQmBuGg7JoM5Ys8xE65aDWMjfE563Wa18OfVS/lzxQ4u0nrz2rWbCAhIdGhtcbIx4T7MiQ8829sQQgghxHlICklCCCGEg6w2laKa5hMT27oL8nJnSpTfoOYkZVc0EB/kXFsbgFajMCrU265CUnppvUOnkQAM7i5MjwlgY0Y5qmp/e9vufBNjwr1xd9GeeK21pYYH/zvvxGS2Z6/fzDCPvie6CSGEEEKIwSGFJCGEEMJBZfWtmK0qkX6ePb5/2ZgQsisaySof+PY2U1M7VY3tTgdtdxkd7k16aR0Wq+2M17S0W8mtbCQ5zL58pO5SkowUVDeTXWHfBLvmdguHS+qYHP1dkajGlMsd7y5gk7WWXwbO4OFrPkGrc3V4L0IIIYQQYuBIIUkIIYRwUEF1E3DyxLbuFo8KQTNI7W1dxan44H4WksK8aTXbyOklcDuzrB6b6lg+UpdFnZPB7G1v+7awFotNZUpnPlJh4XZuXLecI7TzbOwN3HTpvxzegxBCCCGEGHhSSBJCCCEcVGRqBugxIwkg0ODGtBH+rD9Y6lBrlz2yuwpJTk5s6zI6vO/A7XQngra7GL3cGRvhQ2pGuV3X7zlWg6LAhEhfDhx+lxs33UO9ovLapF+xaNavHX6+EEIIIYQYHLqzvQEhhBDifFNQ3YxOoxDi7X7Ga5aMCeE3Hx7mSFkDI0McL8ScSVZ5IwY3HcFeZ362PaL9PdG76ThcUsc1kyJ6vCajtA4fDxenp8OlJBn5y+dHeWtXAe663n93tTGjjASjgb1pz/J/WasIVBVevugfREXNderZQgghhBBicEghSQghhHBQoamZMN9h6LRnLo4sTg7mdx+ls+Hg8QEtJB0tbyDOqHd6YlsXjUZhVJhXnyeSkkO9nH7WpaNDeC41i9+uO2zX9TclvMsD2fsZjQsvLH0P/4B4p54rhBBCCCEGjxSShBBCCAcVmprPmI/UxV/vxowYfzYcOs6DKfH9LvwAqKpKdnkDFycH93st6MhJenNnAWarDZdTimJmq40jxxu4dWaU4/u02WhtrcWglvPhLW7UN5poba/l/9m77/gqy/OP45/nnJzsvfeADCAECBA2SmQq4MC9qnXVaqvV1qp1VKttXfXXWidaN0NQFAFRUQOykzASZgJk772TkzOe3x8hCJJxTrZwvV+vvmrOeZ77uU9AhC/3dV361jpaDA3oDQ20GJvQG5toMTXTYmymWF/BF9SRqLjx/FXrZDKbEEIIIcQQJUGSEEIIYaW8qiYWxgV0e93CuAAeWXOAQ0V1jO7B5LOfq2hopbrJQFQvJ7a1iwt2p9WYTWZpPbGBZ+7veFkDrSZzh/2Rjp/4lhUpL1NrbKLBpKdRNdCgmmhUTTQq0KiAyYrgzN6s4gjc4hzJA1eskslsQgghhBBDmARJQgghhBVqmw3UNBk6bbR9uvmx/jz2xUE2HCjukyCprxpttxtzck8HC2vPCpJ+arR95uu79rzFA+n/xQT4qRqcFS1OGhu8tA44ae1xtnHAycYRZ50zzrYuONq54mjrgoOd68n/ueFo746DvSeODl7YO3ii0cpvR4QQQgghfinkd25CCCGEFdontnVX2gbg4WTL9EhvNqQX8+f5Mb0ub8s8FST1zYmkMC9HXOxtSC+o5aHxbakAACAASURBVNqEM987WFiLg05LhLfTqdfW/vAIT+WtJ1zV8PqC9wgInNAn+xBCCCGEEL8cXY9QEUIIIcQZcivbgySnbq5ss2hMAHlVTRwo7LyptaUyyxpwc9Dh62LX67UAFEUhLsitw70dLqpjZIALWo2Cajbzxhc38Hj+BiYoDnx41UYJkYQQQgghzlMSJAkhhBBWyGs/kWRBaRvA/FH+6LQKG9KLe/3sY6X1RPfBxLbTxQW7caS4Dr3RdOo1s1nlcHFbXyeDvpEnVs7j9doDXKrz5Y3rNuPiGtRnzxdCCCGEEL8sEiQJIYQQVsirasTLyRZnO8uqw90cdcyI9GZ9ejGqqvb4uaqqklna0GeNttuNCXLHYFLJLGk49VpuVRMNeiMjPJu5Z2Uiaw2l3OMWx7PXbUJnZ9lJLCGEEEIIcW6SIEkIIYSwQl5VEyEW9Ec63aIxgRTWNJNW0PPytvJ6PbXNBqJ9+6bRdrsxwW3NtE8vbztUVIufTTarjt1OqtrEsyEL+e3ly1E08tsGIYQQQojznTTbFkIIIayQW9nEhDAPq+6ZM8oPW62G9WlFjAtx79FzM3rYaLupqYLn115PjbGJOLdIYoOmEhu5EFe3EACCPRxwd9RxoLAGCAXg0NEvcYh4g1JF4Y243zNlwm96tGchhBBCCHHukSBJCCGEsJDBZKaoppkr4q3rEeTmoOOCaG82HizhsYUje9TjKLO0rfTMmtK2xoYS7v10EftoIcis8EP1XqjeCwdfI9wEsXbexHmO4ALfYA7nxwNj2Jb8X9Y0vokz8MHMF4mOvNjqvQohhBBCiHOXBElCCCGEhQqrmzGrEGplaRvA7JF+fHekjONlPetzdKy0Hg9HHd7OthZdX19XyG8/W8xBpZV/RlzJJRc+TW1tHoeOredg0U4O1mSRrC9nQ1kFOICN/QquevdRjmtMhBg0xDk9LSGSEEIIIYQ4iwRJQgghzgtGk5nP9xVyqKiOxxaORKe1vt/PqYltPQiSZsX4AJCUUdajICmztJ4oPxeLTjPV1uZx95rLOKoYeDHyBubO+AsAbm6hTJt4D9O459S1paXprN21im1ZO7Fxr2OBjQvrMm/nqkXjrd6jEEIIIYQ490mQJIQQ4pxmMJn5fG8hryYdPxUELRwTQEK4p9Vr5Z68P8zL+sllAW4OjPB3IeloOXddMNyqe1VV5VhpA5dbUFJXU53NXV9cwTHFyMsxt5I49U9dXu/nN4aFF0bxj50/8MzU0QS62bPyYCqxga5W7VEIIYQQQpwfZPyKEEKIc1Kr0cyK5DwSX9rMnz9Lx9XBhpevGQtAcnZVj9bMr2rC1kaDr4tdj+5PHOFLSk4V9S0Gq+4rqWuhXm8k2q/riW2VFZnc9sXlnFCMvDLqrm5DpHaBbvZ4OtlyoKCGg4V1KAqMDJAgSQghhBBCnE1OJAkhhDin6I0mVqcW8MbmExTWNDM22I2/XRZLYowviqLw+uYTpOT0LEjKrWwk1NMRjcb6ZtkAiTG+vLH5BNuPV7BgdIDF91nSaLu87BB3rr+eQsXMq3G/Y+qEuy1eX1EU4oLcSC+opabJQISXE0528lsEIYQQQghxNvldohBCiHNCi8HE6tR8Xt98guLaFuJD3fn7FaO5MNrnjL5CCeGerE8rwmRW0VoZCOVVNfeoP1K78aHuuNjbkHS03Kog6VhpPQDRnQRJpaXp3LHhRkoVldfHPUBC/O1W721MsBuvb66gsrGVKcO8rL5fCCGEEEKcH6S0TQghfgGKa5v5x1dHOFpS1yfrldfr+b9NmWw7VtEn6w22zRllzHpxM0+sPUSQuwMf3T6JNb+dxqyTp5BONynCg3q90ervpaqq5J08kdRTNloNF0T7kJRRhqqqFt+XUVKPt7Mtnk5nT2wrLtrDrzfcSLmi8taER3oUIgHEBblhMquU1+ulP5IQQgghhOiUnEgSQohfgP9tzeadbdks/TGLBbH+3Dc7ilE9+MN+WV0Lb/2YxbLdubQYzLja2/DtAxfi72bfD7seGC0GEw9/lo6znQ3L7pjMtOFeXU42a2+ynZJdRWygm8XPqWpspbHV1KsgCdrK2zakF3O4uM7i52eWNRDle/ZppIKCXdz+7Z3UKypLJz3BmNhre7yvuOCf9iJBkhBCCCGE6IycSBJCiCHObFb56kAx0yO9+P1FkWw/XsElr2zlrg9TOVhYa9EaJbUtPPXlIWa+kMT7O3JYGBfI+79OoNVk5tE16Vadjhlqlu/Oo7ROz9+viGN6pHeXIRJAsIcjgW72pORUW/Wcnya29S5IujDaB4DNGeUWXa+qKsdL689qtH3s+Nfc+u0dNCgqb0/9W69CJAB/V3u8nduaiFsTsAkhhBBCiPOLnEgSQoghbl9+DUW1LTy0IIYr4oO5Y8Yw3t2ezbvbs/n2cClzRvpy3+woxgS7n3VvUU0zb245wcqUfExmlSXxQdybGEm4d9v4+ocXjODpdYdZnVrANQkhA/3Req251cQbW04wdZiXVX19EiI82XGiElVVuw2e2uWfDJJ6eyLJx8WOuCA3ko6WcW9iZLfXF9Y009hqOqPR9rbk//KnQ2/hALw7/Tliohf1ak/Q1nB7XIg7R0vqOiyhE0IIIYQQAiRIEkKIIW9DejG2NhrmjPQDwM1RxwNzo7l9ZgTvb8/hf9uyufTV7STG+HDf7CjiQz0orGnm9aTjrE4twKyqXDUhmHtmRRL6s9M0t0wN5+uDJTyz/jDTo7wJcncYjI/YY8t251Jer+e1G8ZbdV9CuCdr9xeRW9l0KlTrTm5lW5AU0ssgCSAxxodXk45T09SKu2PXoc2xkxPbYvzbgqQVX/+O50o2E4WWVy9+H/+A+F7vp93Tl8VS32Los/WEEEIIIcS5Z1BK2xRFcVcU5VNFUY4qinJEUZSpiqJ4KoqySVGUYyf/32Mw9iaEEENJe1nbrGgfXOx1Z7znaq/jvtlRbHs4kYfmx7Avv4YrXt/BZa9uY9aLSaxKzeeqicFsfmgWz1055qwQCUCjUXjxqrGYVJVHPvtllbg1tRp5c8sJZkR6MynC06p7T/VJyqmy+J68qib8XO2w12mtelZHZo3wxazCjxY0O888ObFtuJcdz61azD9KtzBT48KHV2/q0xAJIMjdgRH+0h9JCCGEEEJ0brB6JP0H+FpV1RHAWOAI8AjwvaqqUcD3J78WQojz2p68akrqWlg4pvNR8S72Ou5NjGTbwxfx8IIRNLaauDYhhM0PJfKPK+II9uj6BE2olyOPXjKSrccqWJ6c19cfod98vCuXioZWHpgbZfW9Ub7OuDnorAuSKpsI87Ts9NLPGfSNbE1+he+2/RODvpGxwe54OOrYnFHW7b2ZpQ2EuTTz+OezWdacw82Ow/jPDVtwdPbt0V6EEEIIIYTojQEvbVMUxQ24ALgVQFXVVqBVUZTLgFknL/sA2Aw8PND7E0KIoWRDejF2Nhpmnyxr64qznQ2/nTWc384abvVzbpocyjcHS/j7hiNcEOXTJ+Vb/alRb+TNLVlcEO3DhDDrTiNB20mshHAPqxpu51U1MT3S2+LrDYYmdu/7H98cX8v3+hLqNW29mLwzl3G1Rxxzwq/khwwFs1lFo+m8T1NJyR5cff+PHWaVJwLncM28f1u8ByGEEEIIIfraYPRIigDKgfcURRkL7AHuB/xUVS0+eU0J0P2fmoQQ4hxmMqtsOFDMRSN8cbbr31+uFUXh+avGMP//fuShT9NYfseULsONwfbhzlyqGlt5YI71p5HaJYR78t2RMsrqW/B1se/y2haDiZK6lm4nthkMTaTsf49vjn/B9y3F1GoUnM0qF9n5Mn/4YhRFy4qjy3mz9gBaDjDKw5H127JZPOMOFM3Zh4TTDq0i3+lfGDTw+uh7mTbxnh5/XiGEEEIIIfrCYARJNsB44Peqqu5WFOU//KyMTVVVVVGUDht1KIpyF3AXQGhoaH/vVQghBk1KThXl9fouy9r6UpC7A08sGsnDnx3gw5053Do9YkCea60GvZG3fjzBrBgf4kN73k4v4WRfpdScai6J6/p7XFDd+cQ2o6GFlPT3+SZzDd+3FFGjUXAyqyTa+jB/+CKmxd+Frd1PE9dmTrqPvLxtLNv5Al+aT/BY9n/5+MTrXB8yl4un/wV7h7bP9M3WZ3js+Ce4q3BrwGNMm3hDjz+rEEIIIYQQfWUwgqQCoEBV1d0nv/6UtiCpVFGUAFVVixVFCQA6bByhqupSYCnAxIkTfzldYYUQwkob0oux12m4aMTA9cK5ZmIIGw+W8NzXR5kV42vxRLOB9MGOHGqaDDwwJ7pX64wOdMNepyE5u6rbIKl9YtvPG5bXVGdz6+eXcUKr4mBWmaXzYv6wS5gx/m7s7N06XS80dAaPhs5g/2tf4a0up8jpAE8Wfs2/Vm5kiWs0dho73qw7SJxZx5Hsexk7d0GvPqsQQgghhBB9ZcCbbauqWgLkK4oSc/Kl2cBh4EvglpOv3QKsHei9CSHEUGEyq2w8WMzsEX442g5c5q8oCs8tGYNOq+FPq9MwmYdWXl/fYmDpj1nMHuHL2BD3Xq1la6MhPsTDoobbeVVnn0hq1ddz/9qryNeY+UfoZfx43VZeuGkLs6c93GWIdLoZI6L4qvB6ll65i3fHPsAkGw8+rM/kzbqDLLTxZnrYu1SbAoj0del+MSGEEEIIIQbAYE1t+z2wTFGUdGAc8A/gOWCuoijHgDknvxZCiPPS7qxKKhpaWTRAZW2n83ez56nFsaTmVvPe9uwBf35X3tueQ22zgQfm9u40UruECE+OFNdR32Lo8rrcyiacbLV4OdkCoJrNPPHpYvYqrTwbcRWLE589VZJmjcQRvqgqbD1eScK423j55q18Pf8jXo35Nf+8/nuOVyr4u9rj5qDr0ecTQgghhBCirw1GaRuqqu4HJnbw1uyB3osQQgxF6w8U42irZVbM4Ix4XzI+iI0HS3jhmwxmxfgS6es8KPs4XW2zgXe2ZjF3lB+jgyw78dOdSeGemFXYk1vd5fc6v6qJEE9HFKWtAflra2/gK2Ml93nEc/GFT/X4+aMCXPFxsSMpo5wl44MB8A+Ixz8gHoDM0nqi/eU0khBCCCGEGDoG60SSEEKIThhNZr4+WMLskX442GoHZQ+KovCPJaNxtNXyx9VpGE3mQdnH6d7dlk1di5E/9GJS28/Fh7qj1SjdlrflVjWdmti29odHeKvuEFfY+nHHovd79XyNRmFWtA8/Zpaf9T02mVWOlzUQPQRCPCGEEEIIIdpJkCSEEEPMzqxKqhpbWdhNA+j+5utiz98uG01afg1Lt2YN6l5qmwy8uy2bBbH+xAb2zWkkACc7G2IDXUnJru70GrNZJb+qiVBPR5L3vcNTeeuZjD1PXPUliqb3/xlNHOFLbbOB/fk1Z7yeX9WE3mgm2k9OJAkhhBBCiKFDgiQhhBhiNqQX42SrZVaMz2BvhcVjApgz0o83Np+g1Th4p5L+ty2Ler2R+/vwNFK7hHBP9hfUoDeaOny/rF6P3mjGT5POH/b/mzCzhpcvX4NO59jh9daaEeWNVqOQlHHmsNKM0noAovzkRJIQQgghhBg6JEgSQoghxGAy8/WhEuaO8sNeNzhlbadTFIVrE0KobzGSnN39dLP+UNPUyrvbc7gkzp+RAa69WstoaKG4aA+q+adQLCHck1ajmQMFtR3ek1fVhIe2mNXFz6IDXpv/Dq5uIb3ax+lc7XVMDPMg6Wj5Ga8fOxUkyYkkIYQQQggxdEiQJIQQQ8j24xXUNBlYOCZwsLdyyswobxx0Wr49XDIoz397axaNrUbun93zSW2q2cyWXS9z1UeTmLfpVq75IJ5V39xPQ30xCeFt09aSO+mTlFVSRFjoK1Qq8OqkvxIUNKnH++jMrBhfDhfXUVLbcuq1zNIGgtwdcLYblLkYQgghhBBCdEiCJCGEGEI2pBfjYmfDBdHeg72VU+x1WmZGebPpcCmqqg7os6saW3l/ew4L4wKI6eH0skNHPuP2Dyfxu4z3MKJyr/tYVOCZkh+46NO5/HfdYmb47iOlgxNXZpORHw7dSZadmWcjbyAu9upefqKOJY5oK2PckvlTeVtmab2UtQkhhBBCiCFHgiQhhBgiWo1mvjlUwtxYP+xsBr+s7XTzYv0prm3hYGHdgD536Y9ZNBlMPZrUVlCwiz9/fCHXJT/FCbWFx/xm8fnNu7n7so9Zfcs+lk98kgX2/nzVUkSa1ydUGm5n1bcP0Njw08mrV764jp26BibXRrFg5l/68qOdIcbPhQA3+1PlbUaTmazyRmm0LYQQQgghhhw5Ly+EEEPE9uMV1LUYWTRmcKe1dWT2CF80Cnx7uIS44L6bmtaV42UNvLc9m8vGBhLpa3mgUluTw9JN97Oi8QRaFe50G8Vtc/+Ds8tP31dFoyEu9mriYq/mobpC3tzwJJv1u3mm+Dv+tXoTCx2C8XXw5n8NGUxp8qTB4aH++Ig/7UdRmBXjy7q0IlqNZvKrm2g1ycQ2IYQQQggx9EiQJIQQQ8S69CJc7G2YETn409p+zsPJloRwT749VMof58X0+/OMJjN/XJ2Gg62WvywcadE9+pZaVnz3R5aW76JRgcvtArjnon/h5zemy/tcXIO4bv5/ee2F73l4ag6FjWtZ11xAi76Q6Tiyp/zPzBnd/yVmiTE+rEjOIzW3irpmAwDRUtomhBBCCCGGGAmShBBiCNAbTWw6VMr80f7Y2gzNquN5sf48s/4wuZWNhHk59euzlm7NIi2/hleuj8fXxb7La80mIxu3/o1Xsj6nSAszNM48MP2vREdebPHzgj0cCHBz5GDjdF674fc8VJvHzrT3GR93B5Oe30eIp2NvP1K3pkd6o9MqbM4oP9VgO9JXgiQhhBBCCDG0DM0/rQghxHlma2YF9fqhWdbWbt4oPwA2HS7t1+dklNTz703HuCTOn8XdfD/2pX/MTR8m8Eju57gpWt4e/TveuGWXVSEStJWWJYR7kpJdhaqquLmFsuCCJ6lobgtywjz7NzgDcLKzYXKEF0lHy8gorSfE0wFHW/n7HiGEEEIIMbRIkCSEEP2goLqJsvqW7i88aX16EW4OOqZHDp1pbQBNDWXsSH2dHamvE+Rmywh/F77txyDJYDLzx9X7cbG34ZnLRqMoSofX5efv5MGPZvKrfc9Tqhp4NmQhK3+VypQJv+nxsxMiPCmr15NX1XTqtfZ/DvPq/xNJALNifDhW1sCuE5VEW9EXSgghhBBCiIEif9UphBB9zGxWufKNHVQ3GrhuUgh3XzicQHeHTq9vMZjYdLiURWMC0WkHN9+vrytk35FVpOb/yJ76HA4rBownw5zw9DeY6pHAJxnzqGwYj5ezXZ8///WkExwsrOONGztev642n7c33ceyhmPYqHCPx1humfcfHB17H8AlhHsAkJxddap0L6+qEWBAStsAEkf48uyGI1Q2thIljbaFEEIIIcQQJEGSEEL0sQOFtZTW6ZkY5sHy3XmsTM7n6onB3JMYSVAHgdKWzHIaW00sHISytprqbPYcWUVq4Xb2NOSRoRgxKwo6VSVOsePXriOZGDKL2qZyPsj6gk9JwTNyN6+sWcnvL/4n3j6WNcK2xKGiWv77wzEuHRvIxXFnfi8MhiY+/f7PvF68mVoFLrP15/ez/42v3+g+e360rwtuDjpSc6q5emII0HYiyd1Rh5uDrs+e05Vh3k6EejqSV9UkjbaFEEIIIcSQJEGSEEL0saSMMhQFlv5qIk2tRt7YfIJVqfmsSs3nqgnB3DMr8owTLhvSi/Fw1DFtuNeA7TEr+3v+tuVh9ih6AOzMKmMVe+52H8XEsNnEjViCvYPHGfcsmPkke9I/5P92vsrnmuOs23A1C239+dWkPxEVuaBX+2k1mvnjqjQ8nGx5+tLYU6+rZjNbU/7DS4feI1urkqDY89DUJxgZc1mvntcRjUZhYpgHKTlVp17LrWwidIBOI0Fbr6bEGB8+2JlLtJxIEkIIIYQQQ5AESUII0ceSMsoZF+KOp5Mtnk62/P2KOO5NjOSNzSf4JCWf1akFXDk+mHsTI/FxseO7I6VcNi4ImwEoazMZW/n4m3t5pXwnDir8ziOeSRHziY25DFu7roMLRaNh4rhbicpLoGT/1yRGf8+XzXl8sf0hpm1/kltG3cLUCb9F0Vj/Of77wzGOltTz9k3jqa9MZmfqJg6W7WdvQy6HNCbCgFeib2HW5Ad7tL6lEiI8+f5oGeX1enxc7MivamJ0kFu/Pa8jN08No9VkJsZfgiQhhBBCCDH0SJAkhDjvqapKUW1Lh2Vn1qpo0JNeUMMDc6LPeD3Q3YFnLh/NPYnDeWtLFsuT8/h0bwETQj1oajUNyLS2/PztPP79fexVWpmlceWvF/+vR6Vpc0f58f6OEfw57kZ+H9TC6h//yvKKPfzm8JuEHniTYTYu+Nm64efog79LCH7uEfh5xuDnO/qsU07lZYf4ft/npB/ewoxhVTydoqdW09aTyc6sMlKx5RHfqVxz0Uvo7Pp/clpCuCcAqTlVzB3lR0F1M5fEDWzJYaSvC/9cMmZAnymEEEIIIYSlJEgSQpz3vkwr4sFVaXzzh5lE9nJS1o+Z5agqJMb4dvh+gJsDT10ay29ntQVKy3bn4utix+QIz149tytmk5FVmx7g5eIkbIC/h17K4lnP9vhkz6QIT1ztbdh0uJT5sWO549IPuEXfyMbtf+fbgiSKTY3sa66jVl8A1fsg76d73c0qfmjx0NiRbWqiVNsWGmk9VIabtcyxD2S092hGh85i+LA56HQDV1YGEBfkhr1OQ3JOFaOD3DCa1QGb2CaEEEIIIcQvgQRJQojz3o+ZFZjMKuvSinlgbu+CpKSMcryd7YgNdO3yOj9Xe55cPIp7EofTajT3W1lbcdEenth0N7tpYbrGiafmv4W//7heranTapg90o/vj5RiNLXtXWfnxKUX/YNLT7uuuamKsvJDlFZlUFKdRWlDAaVN5ZS21lJhama8rRd2hmD25Afz4OW3MWdMTO8+bB+wtdEwLsSdlJwq5oz0AwZuYpsQQgghhBC/BBIkCXEeMJrMPLfxKLdMC5c/FHegvbny+vQi/jAnCuXkuHtrGU1mfswsZ+4oPzQay9bw7mDEfV9QzWa++OFhns/fiAr8NXgeV85+qc/6C80d5cfn+wpJza1myrCOm4Q7OHoSFjaTsLCZHb6/J7eaq9/cwbUJIUMiRGo3KdyTV5OOc7ioDoAwr/4vqRNCCCGEEOKXov87uwohBt2Bwlre2ZbN2v2Fg72VIae0roW8qiYifZ05Ud5IRml9j9fan19DbbOh07K2gVJWepB7P57Gk4VfM0qxZ828d7lq7st92qT6gmgfbG00bDpc2qP7m1tN/Gl1GgFuDvzlEuv7NPWnhAhPzCp8sb8QnVbB39V+sLckhBBCCCHEkCFBkhDngf35NQBkljYM8k6GnuTsttNIf7lkBBoFNqQX93itzRnlaDUKM6K8+2p7Vvtu2z+54qvrSDE18IjvDN65eRdBQZP6/DnOdjZMH+7Ft4dLUFXV6vtf/CaD7IpGXrhqDC72uj7fX2/Eh3qg1SgcKqojxMMRrYWny4QQQgghhDgfSJAkxHkg7VSQ1PPTNueq1JwqHG21XBDlw9ThXmxIL+5RMAKQlFHGhDAP3BwGPhhpbqriqRXzeODEckLRsTrxNW68+A002v6rYJ4X609+VbPVp7iSjpbx3o5sbp4SxvTIwQvdOuNsZ8OogLYeV1IKKoQQQgghxJkkSBLiPNB+IimrvBGjyTzIuxlaknOqiQ91x0arYWFcIFkVjRwurrN6ndK6Fg4V1Q1KWVtG5nquXTmLNfoibneO4cMbthEefmG/P3f2SF8UBb49ZHl524nyBu5bsY+R/q5DrqTtdAnhbVP0ZGKbEEIIIYQQZ5IgSYhzXE1TKzmVbT2AWk1mciqbBntLQ0Zts4GjJXWnQoMFo/3RapQelbdtySgHIHGET5/usSuq2czHG+/m+h2P0ICZpXG/5w9XforObmCaQ/u62BMf4s63h0ssur6uxcCdH6ais9Gw9FcTcLDV9vMOe25ShAcAoXIiSQghhBBCiDNIkCTEOa79NNI1E4MBOCblbafsza1GVdumdAF4OtkybbgXGw5YX96WlFFGgJs9MX4u/bHVs1RWZHLvx9N4vmw70zWufHb5WqZM+M2APPt082L9OVhYR1FNc5fXmc0qD6zcT25lE6/dMJ5gj6Ed0EyL9GZyhCczowYuGBRCCCGEEOKXQIIkIc5xafm1KApcHh+EokjD7dMl51Rho1GID/U49dqiMQHkVjZxqMjy8jaDyczWYxXMivFBUfq/MfOOlNe46ssl7DY38KjfBbxy0zY8PIf3+3M7Mm+UH0C309te3pTJ90fLeHLRKKYO9xqIrfWKq72OT34zlRj/gQkGhRBCCCGE+KWQIEmIc9z+/GoifZzxdbEnxMORzDI5kdQuJbuK0UFuZ5RYzY/1x0ajsC69yOJ1UnOqadAbmdXP/ZEM+kb+9ekV/Obwm7ihYfn057lhwWsomsH7pXyYjzPDfZy6LG/76kAxryYd59qJIfxqatgA7k4IIYQQQgjR1yRIEuIcpqoqaQW1jAtxByDaz1lK205qMZhIL6hlUoTnGa+7O9oyI8rbqultmzPK0GmVfp1AVly0h5uWT+f9xuNcaxfMyuu3EBO1sN+eZ415sf7szqqitslw1ntHiuv446o0xoe687fLYwfkxJYQQgghhBCi/0iQJMQ5LL+qmarGVsaeDJKi/FzIKm+k1SiT29Lya2g1mU812j7dwrgACqqbSS+otWitpIwyJkV44mxn09fbBKCkZD+3fX0r+Rj5d9RNPH7dRuwdPLq/cYDMHeWH0aySlFF2xuvVja3c9VEqrg42vHnTBOxshm5zbSGEEEIIIYRlJEgS4hy2v6Ct0Xb7iaQYWXaRiQAAIABJREFUPxeMZpWcysbB3NaQkJpbDcDEsLMDmXmj/NFpFTYc6H56W0F1E5mlDST2U1lbedkh7vjqZqoVlbcm/ZXZ0x7ul+f0xrhgd3xc7M4obzOazNy7fC+ltXrevGkCvq72g7hDIYQQQgghRF+RIEmIc9j+vBrsbDSnGgZH+TkDkCnlbSRnVxHt54yHk+1Z77k56pgZ5WNRedvmjHKAfumPVFmRyR3rr6dMUXljwiPExV7d58/oCxqNwtxRfmzJKKfFYALgH18dZceJSv5+xegzmpkLIYQQQgghftkkSBLiHJZWUENckBs6bdu/6sN9nNHI5DZMZpW9udUdlrW1WxgXQGFNM/vya7pca3NGGSGeDgz3cerTPdZUZ3PnuqspUsy8Fv8g8WNu6tP1+9rcUX40tprYeaKSz/YU8O72bG6dFs7VE0MGe2tCCCGEEEKIPiRBkhDnKIPJzMHC2lP9kQDsdVrCvJzO+4bbR4rrqNcbz2q0fbq5sX7YajVsSO+8vK3FYGL78UoSY3z7tIl0bW0ed31xBbmKiVfG/I6Ecbf12dr9ZdpwL5xstbyx+QSPfn6AqcO8eGzhyMHelhBCCCGEEKKPSZAkRC+pqsqXaUXUNp89sWowZZTUozeaT/VHahfl63zel7al5FQBMLGLE0mu9jouiPbhqwPFmM0dl7clZ1fRbDD1aX+khvpifrvmMo4rRv496i6mTri7z9buT3Y2WmaN8CU5pwpfFzteu3H8qZNwQgghhBBCiHOH/C5fiF46VFTHfSv2sTo1f7C3cob2kqyfB0nRfi7kVDahN5oGY1tDQkpOFUHuDgS5O3R53aIxARTXtrA3r7rD95MyyrCz0TBlmFef7KupoYzffraQI4qBf8XcysxJ9/XJugPl+oRQgj0cWHrzRDw76D0lhBBCCCGE+OWTIEmIXko62jbyPKtiaE1CS8uvwcvJlmCPM8OSKD9nTGaV7CG234GiqirJ2dUkhHffAHr2SF9sbTSs76S8bXNGOVOHe+Fg2/ux9s1NVdz76SUcoJXnh19H4tQ/9XrNgTYjypttD1/EqEDXwd6KEEIIIYQQop9IkCRELyVlnAySyodWA+u0/BrGhrif1bsn2q9tgtv52nA7p7KJigY9CV30R2rnYq8jMabj8racikayKxr7pKxN31LLfasXsJcW/h6+hHkzH+/1mkIIIYQQQgjRHyRIEqIXqhpb2Zdfg6IwpE741LcYOF7ecFZZG8AwHye0GoXMkvOzT1JKdlt/pEld9Ec63cIxgZTV60nNPbO8bfPJALG3QVKrvp4/fDKf3WoTfwtdxMJZf+vVekIIIYQQQgjRnyRIEqIXth4rR1Vh7kg/Suv0NOqNg70lAA4U1KKqnDGxrZ2djZZwL8fztuF2Sk4VHo46In2dLbp+9ghf7Gw0rE8vOuP1pIxyhnk7Eerl2OO9JO97h5uXz2QbjTwZNI/LLnqux2sJIYQQQgghxECQIEmIXkg6WoaXky2XxwcBQ+dUUnuj7bHBbh2+H+3nwrGy87O0LSWnionhnmeV/HXGyc6Gi0b48tWBEkwny9uaW03szKpkVg9PI2Uc28DdH0zm9vT/UKkaeTHiaq6a+3KP1hJCCCGEEEKIgSRBkhA9ZDKrbMks58JoH4b7tJ1uGSoNt9Pya4jwdsLdsePJWVF+LuRWNtJiOL8mt5XVt5BT2WRxWVu7RWMCqWjQk3yyLG5nVgWtRjOJI3ysWqeoKJW/LLuIq7c/TLq5kQe9JrH++q0suOBJq9YRQgghhBBCiMEyaEGSoihaRVH2KYqy/uTXEYqi7FYU5biiKJ8oiiKzo0W/WJ2az/0r96GqavcXdyGtoIbqJgOzRvgS5uXY1iepfPCDJFVV2Z9f02F/pHbRfs6YVTgxxBqE97eU7LY+R5Y02j5d4ggfHHRaNhxoK29LOlqOg07LJAvXqanO5qXVl7Po21v5xlDGrc5RbFzyFb9e9D/sHbqfHieEEEIIIYQQQ8Vgnki6Hzhy2tfPA/+nqmokUA3cPii7Eue8T1LyWbu/iMPFdb1aZ/PRMjQKXBDljb1OS5C7A1kVgx/MlNS1UFav77SsDX6a3HbsPJvclpJThYNOS6yV4+kdbW24aKQvGw+UYDSZScooY3qkN3Y22i7va2mu5n/rfs0lXyzmw8bjLLT1Z8P8j3jwqs9xcwvtzUcRQgghhBBCiEExKEGSoijBwELgnZNfK8BFwKcnL/kAuHww9ibObS0GE+kFtQCs2VvYq7WSMsoZH+pxqnwswttpSPRI2p/X1h9pXGjnJ13CvZyw0SjnXcPt5Owq4kPd0Wmt/6VvUVwAlY2tLNudR0F1c7dlbes3P8HCFTP5d1Uq47UufDbjJZ654Tv8A+J7un0hhBBCCCGEGHSDdSLp38CfAfPJr72AGlVV20deFQBBHd2oKMpdiqKkKoqSWl5e3v87FeeUtPwaWk1mvJxsWbu/EIPJ3P1NHSirb+FAYS2JI35qtjzM24ms8sZel8z11v6CGmy1GkYGuHR6ja2NhmE+TmSeRyeS6loMHCmpI8HK/kjtEkf44mir5cVvMgA6bbRt0Dfyt5ULeDT3C/wUHe+OfYBXf7WTqMgFPd67EEIIIYQQQgwVAx4kKYqyCChTVXVPT+5XVXWpqqoTVVWd6ONjXaNbIVJy2polP7xgBBUNrWw91rMwcktG232zYn76OTjMx5kGvZHyBn3vN9oL+/NqGBno2m3ZVZSfy3l1ImlPbjWqisV9jX7OXqdlzkg/GvRGYvxcCHJ3OOua8rJD3LZiJqv1hdzmHM1HN+8mYdxtvd26EEIIIYQQQgwZg3EiaTpwqaIoOcBK2kra/gO4K4pic/KaYKB3dUdCdCA5p5poP2cujw/Cw1HHZz0sb9ucUY6vix2jAn7qtRPh7QQMbsNtk1nlQGEt47roj9Qu2teF/OommlvPj8ltqTlV2GgU4kM7b0LenYVjAgCY1UFZW9rBlVy3/loy1FZejLiaB678DK2NzAwQQgghhBBCnFsGPEhSVfVRVVWDVVUNB64DflBV9UYgCbjq5GW3AGsHem/i3GYyq+zNrSYh3BNbGw2Xjg1k0+FSapsNVq1jNJn58Vg5iTG+tLX3atMeJGUNYp+kY2X1NLWaGGdBWBLt54yqwvGy86O8LSW7mtggNxxtbbq/uBOJMb7cNj2CmyaHnfH6Z5v+yK9Tn8UWhY9mPM+CC57s7XaFEEIIIYQQYkgazKltP/cw8KCiKMdp65n0v0HejzjHHCmuo0FvPFXadOWEYFqNZr46UGzVOnvzaqhvMZ5R1gYQ5O6ArY1mUBtup+W3NdoeG9x9kBR1cnLbL7G8rbSuhfoWywNAvdHE/oIaJoV33oDcErY2Gp5cPIoQT0egrR/SMysX8FTRtyQojqxcso6YqIW9eoYQQgghhBBCDGU9/6v5PqCq6mZg88l/zgImDeZ+xLmtvT9Se7PluCA3In2dWbO3gOsnWT6KPSmjDBuNwvQo7zNe12gUIrzaGm4Plv35Nbja25w6HdWVcC9HbLUaMst+WUGSwWTm0le3YWujYcWdUwj2cOz2nvSCWlqN5h432u5IRfkRHtxwE/uUVn7tHMX9l62UUjYhhBBCCCHEOW8onUgSol+l5FQR5O5A4MkmyYqisGR8ECk51eRWWh7+JB0tY2K4B672urPei/B2Iqti8ErF9ufXMjbE/YySu87YaNsmtx37hU1u23qsnNI6PcU1LVy3dBf5VU3d3pOcfWaI2Fvphz7h2nVXc1TV82LEVTx45RoJkYQQQgghhBDnBQmSxHlBVVWSs6vPmth1+bggFAU+32dZ0+3i2maOltST2Mno92E+TuRVNmE0mXu9Z2s1tRrJKKkjPsTyZtIDMbktu6KRBz/ZT1OrsU/W+2xvIZ5Otnzym6nUNRssCpNScqqI8nXGw6nnYY/B0ER+/k6Wf30vt6Y8g+5UP6S/9nhNIYQQQgghhPilGdTSNiEGSk5lExUN+rNOpAS6OzBtuBdr9hZy/+yobk/ybM4oByBxRMdBUoS3E0azSkF1M+EWlJf1pYOFdZhVGGtFkBTj58y6tCIa9Uac7Prnl4O3t2axZl8hE8M9uWGy5SWEHaltNrDpcCk3TAplQpgHy++cwo3v7Obat3ay4q4phHmd/T03mVX25FSzeFxgt+s31BeTX5RMQfkh8quPU9BYRL6+igJTM8UaFdPJnx/TFEdeWLIKN/fwXn0eIYQQQgghhPilkSBJnBdSTpU2nd1seUl8MH9cncae3GomdlP6lHS0jCB3B6J8nTt8f5hP++S2hgEPkvbnVwPWBUntDbePlTUwzor7LNViMLE+rQiAZbtzuX5SiEVld5356kAxrUYzS8YHATA6yI3ld07mxnd2c93SXay4c8pZ3/ejJXXU640d/ti3W5f0OP/K/oJK7Zl7czerBKMjztaTix19CXENJ9RnNONir5dSNiGEEEIIIcR5SYIkcV5IzqnCw1FHZAcB0ILR/jz+xUE+21vYZZCkN5rYfryCy+ODOg1Dhnm3rZ9V3shFI/pm75ZKy68l2MMBb2c7i++JPm1yW38EST8cLaOuxcj8WD++OVRKekGtVUHXz63ZW0CkrzNxQW6nXosNdGP5HVO48Z1dXLt0JyvunMIwn59+nFO66Y/0wYY7ealiF2MVW272HEuI+3BCfOMIDpiIi2tQj/cqhBBCCCGEEOci6ZEkzgspOVVMDPfsMABysrPh4tH+rE8vosVg6nSN1JxqGltNnfZHAvBwssXdUUd2xcBPbtufX2N1GBTq6YidjYZj/dQnac3eAvxd7XnhyrE42mpZtju3x2vlVjaSklPNkvFnB3mjAl1ZcdcUjCaV65bu4kT5Tw3EU3KrCXSzP2u6m2o28/KnV/BSxS7matx594Yt3L74PebNfJyRMZdJiCSEEEIIIYQQHZAgSZzzyupayK1sYlIXp42unBBMfYuR746UdnpN0tEybLUapkV6dfm8CG8nssoHNkgqq2+hsKbZ6iBJq1EY7uNMZj9Mbqto0LM5o5zL44Nwc9Rx6dhA1qUVU9ts6NF6a/YWoihwRXzHAc8I/7Ywyay2hUnHy+pRVZWU7CoSftZk3Who4YmV83iv8TjX2gXz4vXfY2vn0qN9CSGEEEIIIcT5RIIkcc5LyWnrHfTzMOF0U4Z5EeBmz5q9nU9vS8ooY/IwTxxtu64IHebtPOAnktLyawF6VJ4W7efcLyeS1qUVYTSrp/oZ3Tg5jGaDiS8snJB3OlVVWbOvgOnDvQlwc+j0umg/F1bcOQVVheuW7ub7I2WU1Z/ZZL25qYo/rEhkraGUe9zieOyaDdLvSAghhBBCCCEsJEGSGPLqWgyoqtrj+1NyqnDQaYkNdO30Gq1G4fL4ILZkllNerz/r/bzKJk6UN3ZZ1tZumI8TJXUtNOr7Zty9JdLya9BqFGID3bq/+Gei/Fwoqm2hvqVnJ4U6s2ZvIXFBbqf6MMUFuxEX5Mby3XlW/3im5laTX9V8KpTqSpSfCyvvmoKiwF0fpQIw6WSIWFuTw29WzeVHcz2P+yfy28uXo2jkl0EhhBBCCCGEsJT8CUoMacdK60l49juWJ+f1eI3k7CrGh7mj03b9031JfBAms8qXJ6eMnW5zZhkAiSO6D5IiTk4NG8hTSfvzaxjh74KDrdbqe2NOm9zWVzJL6zlQWHtW8HPj5FAySuvZk1tt1Xpr9hbgaKtlfqy/RddH+jqz8q4peDvb4e1sS6SPMyUl+7l1zaUcRM9Lw6/j2vmvWLUHIYQQQgghhBASJIkhTFVV/rb+MHqjmfe35/ToVFJdi4EjJXWdTuw6XZSfC2OC3Vizt+Cs95KOlhHu5XgqJOrKMJ+BDZLMZpW0gpoeT0NrPzHUl+Vtn+0twEajsHhs4BmvLx4biLOdDct3Wx4MthhMrE8vZsFof5zsLB80OdzHma/un8mq30wlJzeJX311E8WKmTfG3Me8mY9bvI4QQgghhBBCiJ9IkCSGrO+PlLH1WAUTwjw4VtZwqteRNfbkVqOqdNlo+3RL4oM4VFTH0ZK6U6+1GEzsOFHJLAvK2gDCvdqCpIFquJ1d2Uh9i7HL/kiq2czW5FfIz99+1nvBHg446LRklPTNiSSTWeWLfYXMivHB29nujPec7Gy4Ij6I9QeKqW5stWi9746UUt9i5MrxwVbvxdvZjsayjdyy+T70Crw79Vkmj7/L6nWEEEIIIYQQQrSx/K/3hRhAeqOJZzccZriPE+/9OoHp//yB5btzT/W6sVRKdhU2GoVxoZad1lk8NpBnNxzh872FPHpJW0+lnVmV6I1mZsX4WLSGvU5LkLsD2RV9PwmtI/vzaoCuG22/uvZ6ltYdhiNvE2vWcrFvAvPH34N/QDwajUKkrzPHyvrmRNKOExWU1un56+KOg58bJofy0a5cPttbwB0zh3W73pq9hQS42TNlWOfT8swmI3V1+VTVZFFZm0tlXQFVTaWUN5ayrO4onqrC0jlvEBo6o8efSwghhBBCCCGEBEliiHp/ew45lU18cNskXO11LBkfxIrkfJ5c3Iqnk+UTtlJyqogNcut20lo7L2c7ZsX48vm+Qv68YARajcLmo2XY6zRdBhk/N8zHacBK29IKanC2s2G4j3OH77+77jaW1h3mMp0fka7hfF2eyksVu3jp213Eq7Ys8J/CKM85bM516ZP9rNlbiKu9DRd10k9qZIAr40PdWZ6cx+0zIlAUpdO1yuv1bMks564LhqHVKKhmM+mHV/H14WVkNZdSZdZTqZqo1oCxg3U0qsoYxZaXF36Ej29sn3w+IYQQQgghhDifSZAkhpzyej3//eE4s0f4cmF02ymgGyaH8cHOXD7bU8CdF3R/igXaStLS8mu5ZVqYVc+/cnwQ3x0pZfvxCmZGeZOUUc604d7Y6yxvZB3h7cTnewtRVbXLoKQv7M+vIS7IDa3m7Od88s19/F9VChdrPXn6mq/Q2thyK5CXt41v9i9lY2Ua/yz9EY26hSgPG5ZtvJBLJt+Hh+fwHu2lQW/k64MlXDE+6NT368SJTRzO28KIkBkMj5iDRmvDDZPD+NPqNHZlVTF1eOcB3ZdpRZjMKjP8c3jt86fZUH2QfC3YqirRqg4/rSMjdU542brj6eCFl5M/ns6BeLmF4ek+DHf3cLQ2lgePQgghhBBCCCG6JkGSGHJe+iYDvdHEYwtHnnotxt+FiWEeLE/O446ZXZ9iaXegsJZWk9miRtunu2ikL24OOtbsLSDYw4G8qibunBlh1RoR3k7U641UNLTi42LX/Q091GIwcaS4rsMSsXVJj/FsSRKzFBf+fu3GMwKV0NAZ3Bk6gztpC3pW7nqTHw0ZPFf2Ay99+T3jsWeaVxzToi8nJnIhGq1lv1R8fbCEZoOBGb4H+e/nz/Jd9RGytCebpOetxWWrSrzWhbFu0UxwC2T5DlemDp/Z4VoV5UfYs+9Jxg3P4O40FUVVmaR14M7gROYk3I+La1CH9wkhhBBCCCGE6D8SJIkh5UBBLav25HPnzGEM+1mp1g2TQ3lwVRo7T1QyLdK727WSs6sArA6S7Gy0LB4bwKd7CojwbtuDpY2227XvPbuisUdB0qGiWr7cX9TtddVNrRhMKmODz+yP9P3253gidy2TFQdeumYjOp1jp2sMHz6XX3lM5+0XvufxCypoaN7Atrpj/LsqlX/vSsVzx2NM1nkxLWAKU0ffiJ/fmLPWUM1mDh75jB+S3yY6soiHjytoVJWJGnuu85tCfMQ8Mgt3sbc0lX3NJfxYsxcC95JtWsfN79ky3jWC8UHTiQlLJPnIajbkf8cutQmzq0KUUeFP3lNYMPH3HT5bCCGEEEIIIcTAkSBJDBmqqvL0ukN4Odnyu4siz3r/krgA/rb+MMt251kUJKXkVBHl64yHFT2V2i0ZH8zHu/J4ffNxIn2dCfHsPIjpyDDv9sltDVY3CAd44esMfjxWjp1N94MVA9zsz3jGjpTXeOjYx8Sqtrxy1Qbs7N26XSPI3QEnWx0Fxkk8deWv+QNtJ4J2HvyYHUU72KkvZ2PBV1DwFZEmhakuEUwLm4ODnSvfZX7Gd/VZlGgVbBxUxhjt+U3ghSRO+C2enj/9OI6IuZRLT/5zddUJfti7grUHv6fFuZoP6zN4NyMTMt5r248J5qvhpObP5J2HHrCqL5YQQgghhBBCiP4jQZIYMtalF5OaW81zS+Jwtded9b69TsuV44P5YEcO5fX6Lk/6mMwqe3KqWTwusEd7iQ9xJ8K7rWF2ooXT2k4X6O6ArY2mRw23m1tN7Myq5NfTInhy8Sir7t2b9iH3H3yDYWh5fckXODpbdpJKo1GI9HM5Y3Kbt89IFif+ncW0TUU7duJrdmZ+wY7KdD5pPMFHR7KAtn5F02xcuUgTz/LDCTzzx2sI9eo6ePPwHM6Vcx7nkxOzKalqYdu9Yzh8bC1Hi3YzOngmo0dex7QXNjNumLuESEIIIYQQQggxhEiQJIaE5lYT//zqCLGBrlw9MaTT626YHMr/tmWzKjWfexPPPrXU7mhJHfV6I5OsLGtrpygKS+KD+NemzG7L2ioqjvLKpt9xYegcZk9/BACtRiHcy5GsHgRJO7MqaDWaSRxhXYB16Oga7t37Av6qhrcuXY2bW6hV90f7OpOUUd7hexqtDTHRi4iJXsStQEtzNXsOLqNJX8e0cbfh6OTH7Je3MDLUrtsQ6XQ3Tg7l/pX72VNo5oJxt5Ew7jYAtmSWU16v58rx0gdJCCGEEEIIIYaS7utmhBgAb245QXFtC39dHNvh9LF2w32cmTLMkxXJeZjNaqfXpbT3R+pBWVm722ZE8MJVY5g6rPOpYlnZP3DTl1fzeWspfzi+jD98NJ2y0oNAW8PtrPIGq5+bdLQcB53WqpK44ye+5e6dT+KqKrx9yYd4eUdb/dxoPxcqGvRUN7Z2e629gwfTE37H3Bl/wcnZn7SCWrLKG7lygnXBz4LR/ng62bJ8d94Zr6/ZW4Cbg47EEdb1phJCCCGEEEII0b8kSBKDrrCmmTe3nGDRmACLwpMbJ4dRUN3Mj8c6Pj0DkJJTTaCbPUHuDj3el5OdDddMDEHTSbCVuv99bt58H82KykcTHuUBzwS2GWu57KvrWPXN/YR72pNX1YTRZLb4maqqkpRRxvRIb+xstBbdk5+/nbu2PIhOhXfmvom//ziLn3e6KL+2BuGZpfXdXHm2NXsLsLPRcHFcgFX32dlouXpCMJuOlFJa1wJAfYuBbw6VsHhsgMXfAyGEEEIIIYQQA0OCJDHontt4FIBHLxlp0fXzY/3xcrJl2c9OsbRTVZXknKpenUbqzsYtT3HX/pfwVDUsm/sO40bfwG2L32XN7DeJ1TjwTMkPHCi5mUCbdAprmi1e90R5AwXVzV2WtRkNLeTlbWNr8it8vPFu7tx0N60KLL3wZUJCpvf4M0X7uQCQWWbdKapWo5kv04qYF+vfYW+r7lw/KRSTWWVVSj4AGw+W0GIws2R8sNVrCSGEEEIIIYToX9IjSQyq5Owq1qUVcf/sKItPD9naaLh6Yghvb82iuLaZALcz78utbKK8Xk9CD/sjdUU1m3l3w+38uyqVCdjznyWf4uYefur90NAZvH3zbtYmPcqLeetpjviY5d/s4U9Xvo/Ozqnb9ZOOtp2yuiDKk5LifeQUJZNXcZicuhzymsvINTZQoFExKj+dkvJB5a0pTxM5fF6vPluAmz0udjYcs/JEUlJGGTVNBpb0sJ9RuLcTMyK9WZGcxz2JkazZW0CEtxPxIe49Wk8IIYQQQgghRP+RIEkMGpNZ5el1hwhws+fuC4dbde/1k0J4c8sJPknJ5w9zzuwHlJzT1h/Jmh5DljAaWvjHZ5ezWl/IxVpPnr16PbZ2Lmddp2g0XD77eeLybubJL29juctRdi+bylMJDzMu7sazrm9qKONYzg9kFO0i9cR+Jgyr5uq1JhpPK6mzN6uEoCVK58ZsR3/C3IcR5j2asKApeHpGomh6f7hQURSi/JytLm1bs7cAb2c7ZkZ69/jZN0wO5Z5le1m2O5ddWVX8cW40itJ5rywhhBBCCCGEEINDgiQxaD7dk8+hojpeuT4eB1vreuGEeTkxM8qbT1Ly+V1iJDban4KU1Jwq3B11RPo499lemxrK+NOaS9mqNnK7cwz3Xb4Sjbbrf32GhcRysPJZrnTZzA6+5Fd7/sk1h5cxLWQWmeXpZNblkGGoJV+jop4MTZzszYSbbFnsGESUexRhPrGEBU7C12d0t8/rC9H/3959h3dd33sff74zISGMEIaMsBQUUVER3MVt1aqtFVdb7d1x2trWansf7V6n53Sdao/VXnePdbR1tXVXbUEFtVpBFBcgiGEJQgJhmLCTz/1HfihIgARIfok8H9fFxe+73yF+r0/y8jN6lTBhxtImn7+idgNPvF7JpUcN3Op70FynDO9Fj5JCfvy3GQCce6irtUmSJElSW2SQpKx4Z91GfvGPWYwa0I2PHNy8CZo3u2RMOV/404tMnFXFKcN7vbv/+XkrGDWgdLuTZDdXVeV0Ln/4EmbFJr7b52TGnXpdk66LCAaVFTN7w9ncf9HXuP6Rz3D7mrnc/cYfiZToXx8My+/CRzoPZGiPg1lZdzBXPbyR6z5/NEfuYKW4lrRfrxLuen4hy2rWU9apcKfnP/TKYjbWpd2ezyg/N4dxo/pxw8Q3GTOolP6lRbt1P0mSJElSyzBIUlbcN20Ry2o28PtLj9jlIUwnHdCLniWF3DF5/rtBUuU765i7rJaLRvffI3XOeXM8X3ryKlYGXH/A5zh+zBXNun5wWTH/qlhOUaeeXD3uIc6f+wSra5cwdODJFHXaemn7a+55hZLCtzl8QLc9UvuuGLrFym1NCZLueXER+/cuYXifzrv97ItGl3PLM/P4xJEDdvtekiRJkqSWYZCkrBg/fSlDehRzyG5MqJwWB2L3AAAbAUlEQVSfm8OFR/Tn+olzWFi9hv6lRUydtwJglyfaTvX1LHzrWV5+81FeWvoCj659i0Lg1qP+g+H7n9vs+w3uUcy90xaxZsMmigryGDzoxMafmxKTZlVx3NAy8ndjiNju2rxy2xtLazh6yI7nPJpTWcPLC1fy7Sautrcz/boV8dL3TqUgz8UkJUmSJKmtMkhSq1u1diPPVSznc8cP3u17XTC6nN9MnMPdzy/kG6cNY8rcajrk5zCib5cmXb9u7Qqmz36QlxZM4uUVs3m5bhXVmSFxneoTh+eW8K2Tr6dPn1G7VN+gsoYePnOX1XJgn+3X9PqSd1iyeh1jh/Xc7jmtoWdJIZ075PHL8bO46Z8VOzy3dn0dOQHnjOyzx55viCRJkiRJbZtBklrdpFmVbKpPW81rtKv6du3ICcN6cvfUhVxx8n48P6+aQ/t322Gvnoq5j/OX56/jpdq3eD02sikztG5AHRzboReHlB3EyMGnMWTgSeTmFexWfYPKioGdB0kTZ1UCMHZoj9163u6KCL51xgFMmVvdpPMP7teFnp07tHBVkiRJkqS2wiCpHVlRu4HKd9YzrPe2S863J+OnL6VHSSEj++36sLYtXTymnMdvm8p90xYx8+3VfPnE/bZ77ivT7+YLU37MRuDA6MClJUMY2fcoDh56DqWl++6Rera0OUiqqKrd4XmTXq9iRN/ObSKUuXB0OReOLs92GZIkSZKkNsggqR258s8vMbmimmeuOZHS4t3rKZMt6zfVMWlWJecc2nePrao2dlhP+nTpwH8+MpP6BKO3Mz/S1Jdu5fJpv6R7Cm46/ZZdHq7WHB0LcunTpQNzl20/SFq1ZiMvLFjBl8YOafF6JEmSJEnaHU5I0k68MH8Fk2ZVsXZjHbc/Nz/b5eyyZ99cTu2Guj0yrG2z3JzgwtHlrFyzkdyc4NDybXs6PTv1Rr447Zf0SjnceuadrRIibTaoRzEVOwiSnp5TRV19yvr8SJIkSZIk7YxBUjtx3WOzKS0u4MjBpdz2r/ms21iX7ZJ2yfjpSykuyOXoId336H0vOKI/uTnBiD6dKS7cuqPdpOf+my+/diPl5HLL2X+lZ68Re/TZOzO4rBMVVTWklBo9PvH1KroW5TNyN1awkyRJkiSpNRgktQNT51Xz9BvL+LfjB/OVE/djWc16HnxpcbbLarb6+sRjM5cydlhPCvNy9+i9e3XuwHfOPIDLT9h6nqN/PP1jrnz9FoalfG7+6AN0Lxu6R5/bFIPKinln3SaW127Y5lh9feLJ2ZV8aGgPcvfQUD9JkiRJklqKcyS1A9c+NpuyTgV88qgBdMzP5YB9OnPTPys4f1Q/ItpP+PDSWyupemc9px6454a1benTxwzaavuhid/hO/PvZySF3PDxv9GpZJ8Wee7ODOrx3sptZZ0Ktzr22uJVLKvZwAkOa5MkSZIktQP2SGrjJlcs55k5y/nCh4ZQVJBHRPC54wYxe2kNT86uynZ5zTJ++lLycqJV5gL6y/gr+fb8+zkiOvLbcf/IWogEMKSsEwAVVTXbHJv4ehURcPzQHq1dliRJkiRJzWaQ1MY19EYq5JIxA97dd9bBfejVuZCbnp6bxcqab/yMJRw5uDtdOua36HP+9OgX+NHbj3FsTid+M248RUVlLfq8nenbrSP5udHohNsTZ1Uysn/XdrsKnyRJkiRp72KQ1IY9++Yynquo5ktjh9Cx4L05hQrycrjs6EH8c84yZixencUKm25OZQ0VVbUtNqxts5seuoyfVT7DyTld+PUFj9OhY7cWfV5T5OYEA7oXM7dq6yBpec16Xn5rpcPaJEmSJEnthnMktVEpJa6b8AY9Swq5eEz5NscvHl3O9U+8wU3/rOBX40ZmocLmmTBjKQAnH7DngqRUX09V1QzmLX6OeZWv8tKyV3loUxVn5HXnJ+P+Tl5+hz32rN01uKx4mx5JT71RRUowdpjD2iRJkiRJ7UOrB0kR0R/4A9ALSMDvUkq/johS4G5gIDAPGJdSWtHa9bUVz765nCnzqvnh2QfSIX/bFc66FOUzblR/bp88n6tP359endtOaNKYCTOWcFDfLvTp2rHZ165Zs4y5C55i/tKXmVc9m3m1i5m3cRXz2cSaLVY661ifuKhoAFefdx+5eW1rqNigHsVMnFVJXX16d3W2ia9XUdapgBF9umS5OkmSJEmSmiYbPZI2AV9PKb0YESXACxExAbgMeDyl9NOIuAa4Brg6C/VlXUqJayfMpnfnDlxwRP/tnvd/jhnEH/41j1ufncfVp+/fegU2U+XqdUxbuJKrTh7a7GsfffIHfL/ir6zNhC+REn3qg4G5RRzWsT8DOw9kYI8RDOwzmp49DyInt212shtcVszGusSiFWsp715EXX3iydlVnHxAL3Jy2s/Ke5IkSZKkvVur/9adUnobeDvz+Z2ImAn0Bc4BxmZOuw2YxF4aJD39xjKmzl/Bj89pvDfSZuXdizjtwN7c/tx8vnzCvhQXts0Q5bGZlaQEpzRjfqS6TRv49QMXckvNGxwahXxyyHkM7H0Y5f2OorBD++vBM7hHw8ptby6robx7ES8tXMGqtRs5YX+HtUmSJEmS2o+sJg8RMRA4FJgM9MqETABLaBj6ttdJKXHtY7Pp06UD43bQG2mzzx43mEdfW8Jfpi7ksmMGtUKFzTdhxhLKS4sY1qukSeevWrWAq+8/n2dYw/mFffnmR+8hv7C4hatsWYPKGuqfW1XLCcMahrXl5gTH7WuQJEmSJElqP7K2altEdALuAb6WUtpq6bGUUqJh/qTGrvt8REyNiKlVVVWtUGnrmjS7imkLVnL5iftSmLf93kibHT6gG4eVd+XmZ+ZRV9/oP1lW1azfxDNzlnPq8F5E7HwI15w3x3PxPWcyOdXy3X1O4nsX/r3dh0gA3YsLKOmQR8WyGgAmza7k8PJudCnKz3JlkiRJkiQ1XVaCpIjIpyFEuj2ldG9m99KI2CdzfB+gsrFrU0q/SymNSimN6tHjg9Wbo2Glttn07dqR8w/feW+kzT533GAWVK9h/PQlLVjdrnlyVhUb6uo5ZfjOO5g9/uzPuOSpq6glcfNh1zDu1OtaocLWEREM7tGJuctqqVy9jtcWrWasw9okSZIkSe1MqwdJ0dAt5ffAzJTSr7Y49CBwaebzpcADrV1btj3xeiUvv7WKr5y4LwV5235rNm1cx8oVc0n19VvtP/XA3pSXFvG/T1e0VqlNNmHGEkqLCzh8QLftnlNft4kb77uIr73xJwaTz11n/IlDD/5EK1bZOgaXFTO3qpZJsxt60p0wrGeWK5IkSZIkqXmyMUfSMcAngVcj4qXMvm8BPwX+HBGfAeYD47JQW9aklLjusTfoX9qR8w7vt9WxRYumcO+U/+b+FdOpzA061if6kku/3GL6duhO3059+NjAUh6a0ZFnZ3bn6APaxgpuG+vqeeL1Sk47sDd5uY1nlrU1S/jWfefxRP1qzs7vyfc+dm+7nEy7KQaVFXPftEU88urb9O7cgf17N23OKEmSJEmS2opsrNr2T2B7k+Wc1Jq1tCWPzazk1UWr+PnHDyY/N4eN62uZOOVa7ql4kH+lNQRwTF4nPlk6gqVrlrJoXTWL6mp4vnY1tWvnNdxkEPzblL/Q5blEH/IoiTyKcwopzi2gOK8jxXkd6ZRfTHFBCcUFJXQq7EpJURmHHHB+i4Q3U+ZWs3rdpu0Oa5s//2muePxy5uXUc3WvY7nktBuJnKxN29XiBvdomOtp0qwqLhrdv0lzRkmSJEmS1Ja0zfXi9zIpJa6dMJsB3Ys4vHsFv7rnCh5YPZvqnKB3XeKLpQfz0TH/l977HLrttfX1rFo1n0VLXuS+qc8wq3I2g3pvZHndamrqN7C4roaaTfXUbkjUBGxqJLzYZ9p1XD7wLM46/kfk5hXssa9r/PQldMjP4bj9tp4LqL5uEw9M/Ca/WPgouQH/7+CvMuawz++x57ZVm1duAxjrsDZJkiRJUjtkkNQGPPJSBSVrbqJ7z9c496kN5KbEh/K6cN7QcRxz+Bd3GO5ETg5duw2ia7dBlPU9k2N/9gRD9hvADWcf2Oj5G9a/Q03tUmprl1K7ZjkLl83kptl38p2FD3PrHx/lyuGXcdwRV+x2z6CUEhNmLOW4/XrQseC91edefPkP/PTFXzEzp46RUcB/nXwj/foduVvPai82B0n5ucEx+5ZluRpJkiRJkprPICnL6jbVcf0L57CoT9C3Dr7a7VDOGfPv9Ow1otn36tW5Ax85pA9/nrqQK08e2ujS8mvrO/DikhKeq9jA5LmJ6YtH8PPz7qfTmj9w/Zy/cPnrN3PYzD9x5aivM3LExbv8dU1fvJrFq9Zx5SlDAXh78Qtc+8RVPFpXTa+U+OmAj3HG8T/4QA9le7+igjz6du3IwLIiOhX66kmSJEmS2h9/m82ynNwcPtLtJDoX9eOSU68kJ3f3viWfPXYw9764iNunzOdLY/dl5ZoNTJ5bzeSKap6rWM7MJatJCQrycji0f1f26dKRm59ZyMNf/S4nHfUN7n3iGn676Ak++cJ/ceK0G7ji2B8xeFDzp64aP30JOQFHD8jlhvsu4taVr5KAL3Q9iE+fdj1FRXtnj5wbLzmMro0EfJIkSZIktQeRUsp2Dbts1KhRaerUqdkuo835xE2TeW3xKnp37sCspe+QEhTm5XBYeTeOHNydMYNLGdm/Kx3yc/njc/P57v2vcf/lxzCyf1cA1tRU8sfHv84t1dNYG3Bu4T588YRf0Lv3yCbXcNq1kxhWcAczOj7L0tzg9NxuXHnir+jTZ1RLfdmSJEmSJGkPiIgXUkqN/gJvkPQBNLliOZff8SL79+7MmEGlHDmkOwf360JhXu42576zbiNj/vNxzjxoH35x/iFbHauunsP/Pn4Vd9VWkJtgTG4JpXnFlBZ2obRDKaVFPelW3JtunfvSvcsgunUbTGGHLjz5/B1c98JPmdMxcUB9LlcfdiWHH3Jpa335kiRJkiRpNxgkaYe+ee8r3DdtEZO/dTJdOm477GrRoin87qlvM2NdJdWpjuqcxld/AyiuT9TmBN021fPZ3qdwyWk/36MrwUmSJEmSpJa1oyDJOZLExaMHcOeUhdz34ltcdsygbY737TuaH1404d3tVF9PTc3brFg5l+pV86l+ZxHVtUtYsXYZ1etWsHAZLFz/GT71mXNb88uQJEmSJEktzCBJHNSvCwf368IdUxZw6dEDie30NtoscnIo6dyXks59KefYrY5V125g1H9M4Msn7NuSJUuSJEmSpCzYe9Ze1w5dMqac2UtrmDp/xW7d5/GZS6lPcMrw3nuoMkmSJEmS1FYYJAmAjxzSh5LCPO6YvGCX71FXn7j5mXmUlxYxom/nPVidJEmSJElqCwySBEBRQR4fPawvD7/6NitqN+zSPe5+fiEz317Nv58+bKfD4yRJkiRJUvtjkKR3XTymnA2b6rnnxbeafe2qtRv55fhZjB5YypkH7dMC1UmSJEmSpGwzSNK79u/dmcMHdOOOyQtIKTXr2v95/A1WrNnA9z4y3N5IkiRJkiR9QBkkaSsXjy6nYlkt/6pY3uRr5lTWcNuz87jwiP6M6NulBauTJEmSJEnZZJCkrZx58D506ZjP7c2YdPs/Hp5Bx/xcvn7qsBasTJIkSZIkZZtBkrbSIT+X8w7rx/jpS6h6Z/1Oz5/4eiWTZlVxxcn7UdapsBUqlCRJkiRJ2WKQpG1cPKacjXWJv7ywcIfnbdhUz48fnsHgsmI+ddTA1ilOkiRJkiRljUGStrFvz06MGVTKnVMWUF+//Um3//CveVRU1fLds4ZTkOd/SpIkSZIkfdD5278adcmRA1hYvZan5yxr9PiymvX8+vE3+NDQHpywf89Wrk6SJEmSJGWDQZIaddqBvSgtLuCOyfMbPf7f42ezdkMd3z3rgFauTJIkSZIkZYtBkhpVmJfL+aP68djMSpauXrfVsemLV3HX8wv41FED2bdnSZYqlCRJkiRJrc0gSdt18ehy6uoTdz//3qTbKSV++NAMuhUVcMVJ+2WxOkmSJEmS1NoMkrRdA7oXc9x+Zdw1ZQF1mUm3H31tCVPmVvP1U4fSpSg/yxVKkiRJkqTWZJCkHbpkTDmLV61j0qxK1m2s4ycPz2T/3iVceER5tkuTJEmSJEmtLC/bBahtO+mAXvQoKeT2yQuYsXg1i1au5c7PHUluTmS7NEmSJEmS1MoMkrRD+bk5XHhEf34zcQ7PvrmMMw7qzVFDume7LEmSJEmSlAUObdNOXXBEfwDqE3zzwwdkuRpJkiRJkpQt9kjSTvXrVsRXTtyPXp0L6V9alO1yJEmSJElSlhgkqUmuOmVotkuQJEmSJElZ5tA2SZIkSZIkNYlBkiRJkiRJkprEIEmSJEmSJElNYpAkSZIkSZKkJjFIkiRJkiRJUpMYJEmSJEmSJKlJDJIkSZIkSZLUJAZJkiRJkiRJahKDJEmSJEmSJDWJQZIkSZIkSZKaxCBJkiRJkiRJTWKQJEmSJEmSpCZpc0FSRJweEbMiYk5EXJPteiRJkiRJktSgTQVJEZEL3AB8GBgOXBQRw7NblSRJkiRJkqCNBUnAaGBOSqkipbQBuAs4J8s1SZIkSZIkibYXJPUFFm6x/VZmnyRJkiRJkrKsrQVJOxURn4+IqRExtaqqKtvlSJIkSZIk7TXaWpC0COi/xXa/zL53pZR+l1IalVIa1aNHj1YtTpIkSZIkaW8WKaVs1/CuiMgDZgMn0RAgPQ9cnFKavp3zq4D5rVfhLikDlmW7CKkd8Z2Rmsd3Rmoe3xmpeXxnpKb7IL0vA1JKjfbeyWvtSnYkpbQpIr4M/APIBW7eXoiUOb/Nd0mKiKkppVHZrkNqL3xnpObxnZGax3dGah7fGanp9pb3pU0FSQAppUeAR7JdhyRJkiRJkrbW1uZIkiRJkiRJUhtlkNTyfpftAqR2xndGah7fGal5fGek5vGdkZpur3hf2tRk25IkSZIkSWq77JEkSZIkSZKkJjFIaiERcXpEzIqIORFxTbbrkdqaiOgfERMjYkZETI+IKzL7SyNiQkS8kfm7W7ZrldqSiMiNiGkR8bfM9qCImJxpb+6OiIJs1yi1FRHRNSL+GhGvR8TMiDjKdkbavoi4MvNz2WsRcWdEdLCdkd4TETdHRGVEvLbFvkbblWjwP5l355WIOCx7le9ZBkktICJygRuADwPDgYsiYnh2q5LanE3A11NKw4Ejgcsz78k1wOMppf2AxzPbkt5zBTBzi+2fAdemlPYFVgCfyUpVUtv0a+DvKaX9gUNoeHdsZ6RGRERf4KvAqJTSCCAXuBDbGWlLtwKnv2/f9tqVDwP7Zf58HvhtK9XY4gySWsZoYE5KqSKltAG4CzgnyzVJbUpK6e2U0ouZz+/Q8MN9Xxreldsyp90GnJudCqW2JyL6AWcCN2W2AzgR+GvmFN8ZKSMiugDHA78HSCltSCmtxHZG2pE8oGNE5AFFwNvYzkjvSik9BVS/b/f22pVzgD+kBs8BXSNin9aptGUZJLWMvsDCLbbfyuyT1IiIGAgcCkwGeqWU3s4cWgL0ylJZUlt0HfDvQH1muzuwMqW0KbNteyO9ZxBQBdySGQ56U0QUYzsjNSqltAj4JbCAhgBpFfACtjPSzmyvXfnA5gIGSZKyKiI6AfcAX0sprd7yWGpYVtKlJSUgIs4CKlNKL2S7FqmdyAMOA36bUjoUqOV9w9hsZ6T3ZOZ1OYeGELYPUMy2Q3gk7cDe0q4YJLWMRUD/Lbb7ZfZJ2kJE5NMQIt2eUro3s3vp5i6fmb8rs1Wf1MYcA5wdEfNoGDJ9Ig3zv3TNDEEA2xtpS28Bb6WUJme2/0pDsGQ7IzXuZGBuSqkqpbQRuJeGtsd2Rtqx7bUrH9hcwCCpZTwP7JdZ4aCAhknqHsxyTVKbkpnb5ffAzJTSr7Y49CBwaebzpcADrV2b1BallL6ZUuqXUhpIQ7vyRErpEmAi8PHMab4zUkZKaQmwMCKGZXadBMzAdkbangXAkRFRlPk5bfM7Yzsj7dj22pUHgU9lVm87Eli1xRC4di0ael5pT4uIM2iYyyIXuDml9JMslyS1KRFxLPA08CrvzffyLRrmSfozUA7MB8allN4/oZ20V4uIscA3UkpnRcRgGnoolQLTgE+klNZnsz6prYiIkTRMTl8AVACfpuF/pNrOSI2IiB8CF9Cwuu404LM0zOliOyMBEXEnMBYoA5YC3wfup5F2JRPI/oaGIaJrgE+nlKZmo+49zSBJkiRJkiRJTeLQNkmSJEmSJDWJQZIkSZIkSZKaxCBJkiRJkiRJTWKQJEmSJEmSpCYxSJIkSZIkSVKTGCRJkiQBEdE9Il7K/FkSEYsyn2si4sZWqmFkRJzRGs+SJEnaFXnZLkCSJKktSCktB0YCRMQPgJqU0i9buYyRwCjgkVZ+riRJUpPYI0mSJGkHImJsRPwt8/kHEXFbRDwdEfMj4mMR8fOIeDUi/h4R+ZnzDo+IJyPihYj4R0Ts08h9z4+I1yLi5Yh4KiIKgB8BF2R6Ql0QEcURcXNETImIaRFxTubayyLigYiYFBFvRMT3W/PfRJIk7b0MkiRJkppnCHAicDbwJ2BiSukgYC1wZiZMuh74eErpcOBm4CeN3Od7wGkppUOAs1NKGzL77k4pjUwp3Q18G3gipTQaOAH4RUQUZ64fDZwHHAycHxGjWujrlSRJepdD2yRJkprn0ZTSxoh4FcgF/p7Z/yowEBgGjAAmRASZc95u5D7PALdGxJ+Be7fzrFOBsyPiG5ntDkB55vOEzHA8IuJe4Fhg6m58XZIkSTtlkCRJktQ86wFSSvURsTGllDL762n42SqA6Smlo3Z0k5TSFyJiDHAm8EJEHN7IaQGcl1KatdXOhuvS+859/7YkSdIe59A2SZKkPWsW0CMijgKIiPyIOPD9J0XEkJTS5JTS94AqoD/wDlCyxWn/AL4Sma5NEXHoFsdOiYjSiOgInEtDDydJkqQWZZAkSZK0B2XmOvo48LOIeBl4CTi6kVN/kZmk+zXgWeBlYCIwfPNk28CPgXzglYiYntnebApwD/AKcE9KyWFtkiSpxcV7vbElSZLUHkTEZcColNKXs12LJEnau9gjSZIkSZIkSU1ijyRJkiRJkiQ1iT2SJEmSJEmS1CQGSZIkSZIkSWoSgyRJkiRJkiQ1iUGSJEmSJEmSmsQgSZIkSZIkSU1ikCRJkiRJkqQm+f/hupt/p9ucDgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M62D9S1R7TK2"
      },
      "source": [
        "Сравним результаты"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dyR3_hIc7L2L",
        "outputId": "e6d6b297-99fa-4f70-f701-5dc2a28512af"
      },
      "source": [
        "(data_series['y_exp_norm'] == data_series['y_exp_norm_user']).unique()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ True])"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "58EXgJCm-mYv"
      },
      "source": [
        "Рассмотрим отдельно значения временного ряда и соответсвующие им временные метки. Преобразуем тип данных в массив <code>numpy</code>:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pliDf3Zp6q3G",
        "outputId": "80d1ae3f-bd73-45fd-c1ac-445ddf3f9775"
      },
      "source": [
        "import numpy as np\n",
        "X = data_series.index.to_numpy()\n",
        "y = data_series['y'].to_numpy()\n",
        "X"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([  1,   2,   3,   4,   5,   6,   7,   8,   9,  10,  11,  12,  13,\n",
              "        14,  15,  16,  17,  18,  19,  20,  21,  22,  23,  24,  25,  26,\n",
              "        27,  28,  29,  30,  31,  32,  33,  34,  35,  36,  37,  38,  39,\n",
              "        40,  41,  42,  43,  44,  45,  46,  47,  48,  49,  50,  51,  52,\n",
              "        53,  54,  55,  56,  57,  58,  59,  60,  61,  62,  63,  64,  65,\n",
              "        66,  67,  68,  69,  70,  71,  72,  73,  74,  75,  76,  77,  78,\n",
              "        79,  80,  81,  82,  83,  84,  85,  86,  87,  88,  89,  90,  91,\n",
              "        92,  93,  94,  95,  96,  97,  98,  99, 100])"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pO6ajN6TPerM"
      },
      "source": [
        "Найдем уравнение линейного тренда, используя функцию <code>polyfit</code>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "UgqgBmKr_QEo",
        "outputId": "679ec8cc-93e0-4c01-bf5f-69ed6f567f0c"
      },
      "source": [
        "poly = np.polyfit(X, y, 1)\n",
        "print(poly)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[ 1.34990099 14.08      ]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VBJGPH27ARrB"
      },
      "source": [
        "a = round(poly[0], 2)\n",
        "b = round(poly[1], 2)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GcsiSzcm_-bj"
      },
      "source": [
        "Найдем значения ряда, используя уравнение тренда"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kwv9XyV4ANRV"
      },
      "source": [
        "x = np.arange(1, 101)\n",
        "data_series['lin_trend'] = a * x + b"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 497
        },
        "id": "v9dri-Ae_uLH",
        "outputId": "57f22f2c-b79e-4de4-affd-fab330f60088"
      },
      "source": [
        "plt.figure(figsize=(20, 8))\n",
        "plt.plot('y', data=data_series)\n",
        "plt.plot('lin_trend', data=data_series)\n",
        "plt.xlabel('Time step')\n",
        "plt.ylabel('y')\n",
        "plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "N3_Xd6xsPlMu"
      },
      "source": [
        "Вычислим коэффициент детерминации"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pfkQjtk0A3pk"
      },
      "source": [
        "$R^{2}=1-\\frac{\\sum\\limits_{i=1}^{n}\\left(y_{i}-f_{i}\\right)^{2}}{\\sum\\limits_{i=1}^{n}\\left(y_{i}-y_{\\mathrm{avg}}\\right)^{2}}$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6ypyDGc3A7RO"
      },
      "source": [
        "f_i = data_series['lin_trend']\n",
        "y_avg = data_series['y'].mean()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CRDJD4WPBM7l"
      },
      "source": [
        "R2 = 1 - ((y - f_i) ** 2).sum() / ((y - y_avg) ** 2).sum()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "L-iZV4qXA0Jz",
        "outputId": "b7090606-3997-42c2-c670-162494187b3c"
      },
      "source": [
        "round(R2, 3)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.949"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6UMHRu6KB3vE"
      },
      "source": [
        "Спрогнозируем $101$-ый член ряда"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "AmnaTzAxB5tZ",
        "outputId": "eb1d7f51-7b81-4ee6-af5e-84705067b9c6"
      },
      "source": [
        "y_101 = a * 101 + b\n",
        "round(y_101, 0)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "150.0"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    }
  ]
}