SqaureWaveform_2Level_SpectrumAndSound.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/bingsen-wang/PowerElectronics/blob/main/SqaureWaveform_2Level_SpectrumAndSound.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jAMKoELNpsK-"
      },
      "source": [
        "<center><h1><b>Spectrum of 2-Level Square Waveform with Sound Track  </h1></b>\n",
        "\n",
        "Dr. Bingsen Wang\n",
        "\n",
        "10/30/2024\n",
        "</center>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Hv0YxDrWU4h8"
      },
      "source": [
        "#Python Code"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "id": "XeGsHYTt8IXU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "62d064f8-17e1-4b2b-dd8e-7b2bcf44b7b3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Moviepy - Building video SquareWaveformSpectrumAndSound_2levelFinal.mp4.\n",
            "MoviePy - Writing audio in SquareWaveformSpectrumAndSound_2levelFinalTEMP_MPY_wvf_snd.mp3\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": []
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "MoviePy - Done.\n",
            "Moviepy - Writing video SquareWaveformSpectrumAndSound_2levelFinal.mp4\n",
            "\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": []
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Moviepy - Done !\n",
            "Moviepy - video ready SquareWaveformSpectrumAndSound_2levelFinal.mp4\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 900x1600 with 3 Axes>"
            ],
            "image/png": 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cuVI//fRTkd4nAa8QTsSf17nzaUrPsHQ8LlkpaRm+LgkAAABAMTF16lR16tRJ3bp109q1a4vkPgl4hXD16yv1ya8Htf/UOV0+fpm2/HPW1yUBAAAAKCZmzpypr776SidOnFDnzp2LJOjZLMsqMScIJCYmasSIETp9+rSvS5Ekrdl1QknHDyr9XKyCI5upTe3yCi9dytdlAQCKib+Pxuvw2ST79ZrlS6tBRKgPKwIA+IJlWTp27Jh27dql+Ph41alTR3v27JGfn+f72wI8fkQvstlsCgwMVGBgoK9LkSTZ/EtJtv/9UPwDVKpUqWJTGwDA9/wCAiT/fz9q/QP4nACAi5FlWQ5hLiDAezGsRPXgFTctXlisAz9M1rnd61Xj7kmaO6K92tWp4OuyAADFxNivt+iz9TH263d0qKMX+jf1YUUAgKKUnp6uuXPnaty4cdq+fbv69Omj559/XpdffrnX7pNz8ArBZrP5ugQAQDHGV6gAcHEbPHiwbr31VtWtW1e//vqrvv/+e6+GO6mEDdEEAAAAgJLiwQcf1JgxY9SuXbsiu0968DyIb2oBAAAAZOnYsWOOcLdnzx69//77ysjwzhJrBLxCYIQmAMAdfG4AAG677TaNHDlSe/bs8crxCXgAAAAAUATOnj2rX3/9VeXLl1e9evW8ch8EPA/Ka0LS+Pj4YrN+HwAAAICit3btWmVkZKhLly5eWQNPIuB53apVq9SmTRuFh4erUqVKqlChgu6++279/fffvi4NAAAAQBFatWqVJCk6Otpr90HAK4T8TqXYtGmTBgwYoMjISA0bNkx9+/ZV6dKlNW3aNLVq1UrvvfdekdQJAPANJt8CAGS3evVqSd4NeCyT4EUTJ07U6tWr1aJFC4ftW7Zs0YcffqgxY8bI399f9913n48qBAAAAJCXhIQEXX/99VqyZIlL7Z966ilNnDhRH330kerVq6dHHnlEkpSYmKgNGzYoNDRUDz/8sCTJz89Ps2fPVtWqVT1WLwHPgy78ojYgICBHuJOkFi1aaOLEibr77rt16623ql+/fqpZs2bRFAkAAADAZWPHjtW9997rcvsZM2YoLi5OM2fO1Pz587Vy5UpJ0hdffKGbb75ZAwYM0KxZs7xULUM0C8WWz3zX/v7+ed7eqlUrffnll5o0aZInywIAFFO2fAf3AwCKkz179igmJkY33HCDy/tMmTIl15ywYsUKSd4dnikR8LyqVatW2rhxY55tmjZtqpSUlCKqCAAAAICrXnvtNT3zzDO53nbgwAGlpqbm2N63b1/17t1bdevWddi+fPlySQS8EuXCk+kHDx6sDz74IM99kpOTFRsb68WqAAAAALgrJSVFW7du1WWXXZbjtiNHjqhJkyZavHhxrvtWq1ZN7du3t18/fPiwdu7cqcjISK+tf5eFgFcI+Q20KVu2rLp3764pU6Y4bE9LS9ORI0f07bff6uqrr9bVV1/tvSIBAD5j5Tg7GwBQUqxatUodOnTI9bZvv/1W586dcxrWduzYoW7dutmvF1XvnUTA86qEhAStW7dODz30kPz9/eXn5yc/Pz8FBgaqRo0auuGGG9S1a1cNHDjQ16UCAAAAyGbjxo2qU6dOrrctW7ZMl156qRo3bpzjtr/++kulS5dWpUqV7NuKMuAxi6YHXfhN7aOPPqpff/1V/fv3l5+fnxYsWKDevXurUqVKqlOnjq6//no1aNDAR9UCAAAAcObIkSMqVapUrrft3Lkz16XO0tPTdf/999uXQciS2wQrqampmjp1qseXTCPgeVFGRoZ+//13+/UtW7Zo7Nixatu2re688075+dGBCgAXk3wmXwYAFCPp6elaunSpxowZ47D9/fff15YtWxQeHu6wPSUlRcOGDVN6erquvfZa+/aDBw9q//79ioyM1CWXXGLfPnv2bJ09e9bjdZMwCiG/D+o77rhDAwcOVFpamqTM9e++//57RUREaOjQoXr88cf122+/FUGlAAAAANxRr149LVq0SM8995z27NmjTZs26Z577tEDDzygChUq6Pnnn9fatWt14MABffbZZ2rTpo2+++47TZs2zaEj5+jRo5Kk5s2b27edOnVKH3zwgUaOHOnxuunB86IOHTqobdu2CghwfJr79eunfv366eTJk4qJifFRdQAAAACcGThwoB5//HG99NJLeumll+zbX375ZQUFBemxxx5T586d7dtDQkK0aNEiNWrUyOE4jRs3Vvny5e1rZJ86dUqDBw/Wm2++qbCwMI/XTcDzpFwmSwsKCnLavFKlSg4nXwIAAAAoHmrUqKFZs2bpySef1PHjx9W8eXM99dRTGjBggFJTU7Vt2zZ9+eWXKlWqlLp3766XXnop1/k1QkND9c0332jUqFHq0qWLgoOD9eKLLzoso+BJBLxC4WQKAIBzF66PCgAoWW655RbdcsstObaXKlVK06ZN07Rp01w6zpVXXqnNmzd7uLrccQ4eAAAAABiCgOdBfFELAAAAwJcIeIXAdNcAAHfwsQEA8DYCXhF59dVXHa7/5z//8VElAAAAAExFwPOgvE6mX7x4scP1RYsWebkaAAAAABcbAl4RsV0wnvPC6wAAAABQWAS8QiCiAQDywuRbAICiRsADAAAAAEMQ8DzI4rtaAAAAAD5EwCsETqMDALiDzw0AgLcR8AAAAADAEAQ8D8prmQQAAAAA8DYCHgAAAAAYgoBXCDYWSgAA5IGRHQCAokbA8yA+xwEAAAD4EgEPAAAAAAxBwCsEd6a7ti4Yp3PhdQCA+WyskwAA8DICXhGpWLGiw/VKlSr5qBIAAAAApiLgeVBevXJffvmlw/W5c+d6uxwAAAAAFxkCXiEw0AYAkBeL6bcAAEWMgAcAAAAAhiDgeRDf0wIAAADwJQIeAABFhKH9AABvC/B1ASVZQae7TkxM1NmzZxUcHKxy5crJ39/fw5UBAAAAuBjRg+dJTsZo/vzzz3r88cfVvHlzhYSEKDQ0VJGRkapcubKCg4PVsGFDDR8+XD/99FPR1gsAAADAKPTgeVFqaqpuuukmzZ8/XzabTTVr1lT9+vXl55eZq5OTkxUfH6/jx49r+vTpmjZtmu69915NnDjR3gYAAAAAXEXA86Jx48Zp06ZNmjp1qm644QaFh4c7bXv48GHNmzdPr776qmrUqKFnnnmmCCsFAHgFs28BAIoY3UReNH/+fK1du1Z33nlnnuFOkqpXr677779f69evZxF0AAAAAAVCwPOgCxe0DQ8PV61atdw6RtWqVVWhQgVPlgUAAADgIkHAK4T8JtE8ceKEjh8/7tYxExISlJCQUIiqAADFFuskAAC8jIDnRd27d1eHDh00ZcoUxcbG5tk2LS1NCxYsUJcuXdSrV68iqhAAAACASZhkxYOsC06mHz9+vLZt26YRI0bo3nvvVa1atVSpUiWFhoYqJCREqampio+PV3x8vHbt2qXz58+rT58+TLACAAAAoEAIeF4UEhKipUuXaubMmZo5c6Z+/vlnxcTE5GhXunRpde7cWcOHD9fAgQN9UCkAAAAAExDwCiG/c/CyDB06VEOHDpVlWTpw4IDOnDmj5ORkhYeHq0KFCoqIiJDN1YMBAEoMVkkAABQ1Ap4HXThE80I2m0116tRRnTp1iqQeAAAAABcXJlnxooyMjHwnVwEAAAAATyHgFYItn/mue/TooUqVKmnlypVFUxAAoFjL73MDAIDCIuB50Z49e5SRkaGjR4/6uhQAAAAAFwHOwfOgC0/BW716tbZv364ePXr4pB4AAAAAFxcCnhdFRkYqMjLS12UAAAAAuEgQ8AqhoCsbJCYm6uzZswoODla5cuXk7+/v2cIAAMWCld/0ygAAeBjn4HmQsw/yn3/+WY8//riaN2+ukJAQhYaGKjIyUpUrV1ZwcLAaNmyo4cOH66effiriigEAAACYhB48L0pNTdVNN92k+fPny2azqWbNmqpfv778/DJzdXJysuLj43X8+HFNnz5d06ZN07333quJEyfa2wAAAACAqwh4hZDfCM1x48Zp06ZNmjp1qm644QaFh4c7bXv48GHNmzdPr776qmrUqKFnnnnGs8UCAHyuoEP7AQBwFd1EHnThAM358+dr7dq1uvPOO/MMd5JUvXp13X///Vq/fr3mzp3rvSIBAAAAGIuA50Xh4eGqVauWW/tUrVpVFSpU8FJFAAAAAExGwCsEWz5jbU6cOKHjx4+7dcyEhAQlJCQUpiwAQDHBHJoAgKJGwPOi7t27q0OHDpoyZYpiY2PzbJuWlqYFCxaoS5cu6tWrVxFVCAAAAMAkTLLiQReukjB+/Hht27ZNI0aM0L333qtatWqpUqVKCg0NVUhIiFJTUxUfH6/4+Hjt2rVL58+fV58+fZhgBQAAAECBEPC8KCQkREuXLtXMmTM1c+ZM/fzzz4qJicnRrnTp0urcubOGDx+ugQMH+qBSAAAAACYg4BWCq7NdDx06VEOHDpVlWTpw4IDOnDmj5ORkhYeHq0KFCoqIiMj3fD4AQMnHOz0AwNsIeB6V9+n0NptNderUUeXKlXX27FkFBwerXLlyhDsAAAAAHsEkK0Xg559/1uOPP67mzZsrJCREoaGhioyMVOXKlRUcHKyGDRtq+PDh+umnn3xdKgAAAIASjB68wsin4y01NVU33XST5s+fL5vNppo1a6p+/fry88vM1cnJyYqPj9fx48c1ffp0TZs2Tffee68mTpxobwMAKLkunHwLAABvI+B50IUf5OPGjdOmTZs0depU3XDDDQoPD3e67+HDhzVv3jy9+uqrqlGjBjNpAgAAAHAb3UReNH/+fK1du1Z33nlnnuFOkqpXr677779f69ev19y5c4uoQgAAAAAmIeAVQn5To4SHh6tWrVpuHbNq1aqqUKFCwYsCABRbzKkFAPA2Ap4XnThxQsePH3drn4SEBCUkJHipIgAAAAAmI+B50IXn0nfv3l0dOnTQlClTFBsbm+e+aWlpWrBggbp06aJevXp5r0gAAAAAxmKSFS8aP368tm3bphEjRujee+9VrVq1VKlSJYWGhiokJESpqamKj49XfHy8du3apfPnz6tPnz5MsAIAAACgQAh4hZDfAuUhISFaunSpZs6cqZkzZ+rnn39WTExMjnalS5dW586dNXz4cA0cONBb5QIAihirJAAAihoBz4OcrXc0dOhQDR06VJZl6cCBAzpz5oySk5MVHh6uChUqKCIiIt+wCAAAAAD5IeAVIZvNpjp16qhOnTq+LgUAAACAgZhkpRDocwMAuMPGJwcAwMsIeB5kcbYFAAAAAB8i4AEAAACAIQh4xQiLnAMAAAAoDCZZKQRPTXxpWZYeeeQRJScny8/PT0FBQXr99dfl50f+BoCSzHI2vTIAAF5CwPOggn6Ov/322+rTp4969OghSVqyZIkmTpyoBx980IPVAQAAADAdXUTFwB9//GEPd5LUo0cPbd682XcFAQAAACiRCHiF4Mnpri8cxhMQQOcqAJjGU0P7AQBwhoDnQQU90+KGG27Qyy+/bL/+9NNPa8CAAZ4pCgAAAMBFg26iYuCaa65RYmKiBg8eLD8/P/Xv3199+vTxdVkAAAAAShgCXiF4cqjNzTffrJtvvtlzBwQA+BxzaAIAihpDND2I6bABAAAA+BIBDwAAAAAMQcADAAAAAEMQ8AAAKCKskgAA8DYCHgAAAAAYgoAHAAAAAIYg4BWCzZPrJAAAzMPkygCAIkbA8yBWSQAAAADgSwQ8AAAAADAEAa8QGKAJAHALQ/sBAF5GwPMgi5MtAAAAAPgQAQ8AAAAADEHAAwAAAABDEPAKgVMpAAB5Yeg+AKCoEfA8iGUSAAAAAPgSAQ8AAAAADEHAKwSGaAIA3MHHBgDA2wh4HsQQTQAAAAC+RMADAAAAAEMQ8AAAAADAEAS8QrBdcDYFIzQBANkxdB8AUNQIeAAAAABgCAIeAAAAABiCgFcILJMAAHAHnxsAAG8j4HmQxckWAAAAAHyIgAcAAAAAhiDgFQIjbQAAAAAUJwQ8D2KAJgAgO0buAwCKGgEPAAAAAAxBwAMAAAAAQxDwCuPC+a4ZigMAyIONs7cBAF5GwAMAAAAAQxDwAAAAAMAQBLxCYKANACAvFmP3AQBFjIDnQXyQAwAAAPAlAh4AAAAAGIKAVwgXTqIJAEBe+NwAAHgbAc+DLEZoAgAAAPAhAh4AAAAAGIKABwAAAACGIOAVwoWnUjBCEwCQHUP3AQBFjYAHAAAAAIYg4AEAAACAIQh4hWBjvmsAgBv41AAAeBsBz4M41wIAAACALxHwAAAAAMAQBDwAAAAAMAQBrxByLpPAGE0AwL/4VAAAFDUCHgAAAAAYgoAHAAAAAIYg4BXChaskMIsmACAvrK4DAPA2Ah4AAAAAGIKABwAAAACGIOAVgi3HPJoAAAAA4DsEPA/iFDwAQHacmw0AKGoEPAAAAAAwBAEPAAAAAAxBwCuMC0/BYywOACAPNtZJAAB4GQEPAAAAAAxBwAMAAAAAQxDwCiHHCE2fVAEAKL74ZAAAFC0CHgAAAAAYgoAHAAAAAIYg4BUCk6EBAAAAKE4IeB7EKgkAAAAAfImABwAAAACGIOABAAAAgCECfF1ASWa7YKGEX/aeUgbjNAEA/3Pw9DlflwAAuMgQ8Dzoh7+O6oe/jvq6DAAAAAAXKYZoFkKAP9NoAgBcF+DH5wYAwLsIeIUQVbeCr0sAAJQg7fjcAAB4GUM0C2HElfU0r055/XbQXx3qVfR1OQCAYqpsUICua11DbWqV93UpAADDEfAKIcDfT61rldc/4cGaffcVvi4HAAAAwEWOIZoAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYI8HUBJV27du2UlJTk6zIAAAAAQDbLsixfFwEAAAAAKDyGaAIAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQCAQjl58qSqVq2qQ4cO+boUALjoEfAAAEChjBkzRseOHVNqaqqvSwGAix4BDwAAFNjy5cs1a9YsX5cBAPgfAh6MFh0dLZvNJpvNphkzZvi6HHiYKz/fi+U1sHLlSvvjrFOnjq/LwUUiOTlZb7zxhqKionxdCi5CH330kRYuXOjrMgrl8ssv15IlS3xdBgxTYgPeHXfcYf9jJjo62u39s//Rd8cdd3i8PqAwsv+xbrPZVLZsWcXHx/u6LABw8Morr2jMmDEKCgryyvGvvvpqffzxx145Nkq2V199VRMnTlSXLl18XUqhzJo1S8OGDdOiRYvc3pffDzhTYgMeYLIL37DPnTunuXPn+qiai0OdOnXsgXrlypW+Lgco9rZu3aqjR4+qa9euXruPPXv2aN++fV47PkqmSZMm6d1339V3332nkJAQX5dTKI0aNdKMGTN03XXX6ZdffnFrX34/4AwBDyhmEhMT9eWXX+bYzrd0AIoLy7L01FNPafz48b4uJVfHjx9Xo0aNNGfOHF+X4jFz5sxRjx49VLFiRZUpU0YNGzbUkCFD9OOPP/q6tCL1008/adSoUZoyZYqqV6/u63I8onv37rr77rt12223KTEx0dflwAAEPBht5cqVsixLlmWVmKG4X3/9tRISEiRJHTt2VGhoqCRpzZo1fFNXACXxNQDPSU5OVuPGjVW2bFmHYc9ZlzJlyqhWrVr6+++/8zxOz549FRAQkGP/smXL6uWXXy6iR1N8TJ48WQMGDFDlypV9XUoOv//+u6666irt3LlTSUlJvi6n0BISEtS3b19NnTpVL774og4dOqQdO3bokUce0ZIlS9SjRw/16tXroliiIjk5WUOHDtXAgQPVp08fX5fjUS+//LLOnDmj0aNH+7oUGICABxQz2ScCGT58uK6//npJmd+Yz5w500dVASVTcHCwtm/frvj4eIffHz8/Py1ZskQJCQk6ePCgGjVqlOdxFi9erH/++Uc1atSQJHXr1k3r169XYmKinnnmGa8+huLm6NGj+uGHHzRs2DBflyIpcwj73r179dVXX2nQoEFq166dtm7d6uuyPCIjI0M33XSTgoODtXjxYrVv317BwcGqVauW7rvvPq1atUoVK1bU4sWLFR0drdOnT/u6ZK965ZVXFBMTo3Hjxvm6FI8LCwvTk08+qcmTJ+uPP/7wdTko4Qh4QDFy8OBBrVixQpJUunRp3XDDDRoyZIj99pkzZ8qyLF+VB5RYfn5+uu666+zXMzIy1KFDB/n5uf4xWLlyZdlsNt18881avHix2rVr541Si73HHntMr776qmw2m69LkSTVqlVLHTt21EsvvaRy5coZ1VM/ffp0bdmyRR9//HGur9XGjRvrhRdekCTt3r1bd999dxFXWHROnDih//73vxoyZIjq1q3r63K84p577lHZsmWL7dBnlBwEPBckJSVp/vz5GjVqlDp37qyqVasqKChIZcuWVa1atXTNNdfonXfesQ+ry09ukznEx8frww8/VLdu3VS7dm0FBQXlmOwht/3i4uL07rvvqmPHjva6ateureHDh2v37t057jsjI0Nz5sxRnz59FBERocDAQFWtWlUDBgwo0Dj+Q4cO6ZVXXlHHjh1VrVo1BQUFqUqVKmrbtq3Gjh2r7du3F/g5OX/+vKZPn66rrrpKNWrUUFBQkKpXr64BAwbo66+/dum4BZki37IsLVy4UCNGjFDz5s1VuXJllSpVSuXKlVOrVq105513au7cuTp//rxLx3PHrFmz7AGuf//+Cg0NtT9+Sdq7d6/Wrl3r8vGKy2smtzrOnj2rt99+Wx06dFDVqlUVHBysunXravDgwfaQ6wl5vQb2799vv+3AgQP27V27ds11OF9uM/Zmv33//v351lOQ5QxWr16t2267TXXr1lVwcLCqVq2qDh066K233tLZs2ddOkZuLMvSvHnzNGzYMF166aUqX768SpcurVq1aql///6aNm2aywtXnz9/XrNmzdL111+vSy65RCEhIQoICFBYWJgaNGigPn366IUXXtAvv/zisy8pQkJCVLFiRft1V35e2b3zzjsqX768ZsyY4VYwNMnChQtVt25dXXrppb4uxe7kyZM6cuSINm/erPfff1+dOnXydUke88Ybb+iee+7JcyKRYcOG2WcxnTdvnvbs2VNU5RWpd999V8nJyRo+fLivS/GasLAw3XLLLfryyy/zHTYO5MkqoW6//XZLkiXJuvLKK93e/8orr7Tvf/vttzttN3v2bCs0NNTeNq9LhQoVrPnz5+d737Vr17bvs2LFCmv9+vVW3bp1cz3mihUrnO63efNmq169ek7rKV26tMP+J06csLp06ZLnY3jqqadcfg5ff/11q2zZsnkeLyAgwHrkkUes1NRUt56TXbt2Wa1atcrz2Nddd511/vz5PI+b/ec8ffr0fB/Thg0brLZt27r0865du7bLz5WrGjZsaD9+9tfSo48+at9+1113uXy84vKaubCOjRs3OmzL7TJs2DCP/HzzarNv3z6XftZ5vddkv33fvn35PhcrVqxw+TWUmppq3XPPPfm+Djdu3OjWcS0r87XeunXrfB9zgwYNrA0bNuR5rM2bNzu8dvO7zJkzJ9/6vOWyyy6z1/Hdd9+5vN+BAwessLAwa926dV6srnhLSEiwunXrZiUlJeW4Lev3zJXfAXfUrl3bev75593aZ/r06W697xdXhw8ftn+O9ujRw0pISHDatlOnTvbH/M477xRhlUUjLS3Nqly5slWvXj1fl+J1CxcutCRZTzzxRL5tC/L7gYvDxfkVpBv27NnjsP5YlSpVdPnll+vqq69Whw4dVKlSJfttp0+f1rXXXqsFCxa4fPzdu3erW7du9skz6tevr+joaLVq1UrBwcFO94uJiVG3bt20Z88e+fn5qUWLFuratavq1atnb5OUlKR+/fpp9+7dOnfunLp3767Vq1dLkurWravo6Gi1bt3a4Zvo8ePH67PPPsu37jFjxmjMmDEOsz1l1d6sWTP70J20tDS9+eabuvHGG5WWlubSc3L06FFFR0dr8+bNkqSGDRuqa9euat26tfz9/e3tvvnmG4+ejPzdd9+pS5cu2rhxo31bqVKl1LJlS1111VWKiopShQoV7LcVpuckNz///LN27twpSapUqZJ69eplvy37MM25c+cWaOIAX79mstfRvXt3e49Z1uumadOmDkO+pk+frkGDBikjI8Ptx+qq0qVLq2fPnurZs6fD71u7du3s27NfLr/8cq/VciHLsjR06FBNnjzZYXuTJk0UHR2tBg0aSJIOHDig7t27659//nH52IsWLdKVV16p33//3b6tUqVKat++vaKjo1W7dm379l27dqlr165at25drsc6cuSIrr76avtrV5LKlSunqKgodevWTR06dFDdunUdfrZ5/Uyz9/YWZI3T/GTvNXVn0qKRI0dqyJAhuuKKKzxeU0mxbt06HT9+XL169VJ0dLTDZcOGDZKkW265RdHR0froo498XG3JFxMTIynzc3TJkiWaNWuW07ZZozwk917XJcWKFSt04sQJ9e7d29eleF10dLSCg4M1b948X5eCkszXCbOgiqoH7+WXX7Y6duxoTZ482Tp06FCubdasWWNFRUXZj1epUiUrLi7O6TGz91xk9Q52797d2r59u0O706dPW6dPn851vwoVKliSrMGDB1uHDx922G/p0qVWeHi4ve3QoUOtkSNHWpKsyy67LMe38bt377aaN29ubx8ZGWmlp6c7rf+LL75w+Da+Xbt21ubNmx3a7N+/37rmmmsc2o0bN86l56RixYqWJKt///7Wrl27HNrFxMRYXbt2tbf18/Ozdu7c6fS4rvbgbd261SpTpoy9bfny5a133nkn15/jH3/8YT3xxBMe78HL3lNz//3357g9+8/o008/demYxeU1k72OSpUqWZKsNm3aWJs2bXJot2fPHqtbt24Or5uJEyc6PW5he/Cc1Zi9FzM/2Wv1ZA/e1KlTHY4dHR2d47W+efNmq02bNg7Pa37H3bVrlxUSEmJve/nll1srV660MjIyHNr9+uuvDj18tWvXts6ePZvjeA888IC9TfXq1a3vvvsu19fCmTNnrM8++8zq3r279fnnnzutL/vPoSDv7fnJ3hs+ZswYl/b54osvrOrVq1uxsbEer8cUWT83evA8Z8+ePQ7vAZMnT3ba9vrrr7e3e+CBB4qwyqJx3333WZKsefPm+bqUIpE1cmbHjh15tqMHD84Q8PIJeHkNicguKSnJuuKKK+zHfO+995y2vXBoWu/evfMdwpjbfsOHD3fa9uOPP7a38/f3t/z8/KxWrVpZ8fHxubbfuXOnFRAQYN9n+fLlubY7f/68VbVqVXu7Nm3aOH2O0tPTrf79+9vblipVyoqJiXHpsQ0aNCjHH5xZ4uPjrerVq9vbPvvss06fB1f/uG/Xrp29XZUqVaytW7c6bZu9Dk9JSkqyypUrZ6/hp59+ytHmP//5j/32Hj16uHTc4vCaya2Opk2bOv1jOSUlxSHEh4eHO/3CxNSAl5SU5BDYOnbsaCUnJ+faNjY21mrSpIlDHXkFvOxDbvv162elpKQ4bZuQkOAwVDq3L2kuueQS++1Lly7N87FnSUtLc3qbtwPexIkT7ce//vrr821/9uxZq1q1atbcuXM9XotJCHje8eKLL1phYWFWr169rHPnzjltl/VFjyTrjTfeyPe4f/75pzV58mTrlVdesd5//31r4cKFeR4/u71791ozZsywJkyYYL3xxhvW4sWL8x1Ob1mWlZGRYf3+++/WlClTrPHjx1tvvfWW/cvhQ4cOWQsXLnS6b9Z73IVfTvrSpk2brAcffNBq1aqVVatWLatp06bWkCFDrN9//73Qxx41alS+X3BaFgEPzhkxRHPVqlW5ToiQ12XVqlUuHbts2bIutQsODtYrr7xiv/7tt9+6tF9gYKCmTJmigIAAl9pnqVixot566y2nt99yyy0KCwuTJKWnpysjI0OTJk1yeqJ2gwYNdNVVV9mv//TTT7m2++qrr3T06FFJmZNLfPTRR06fIz8/P02ePNm+jltqaqo+/PDDfB9buXLl9MEHHzidoS0kJMThJGtntbpq+fLl+u233+zXJ0+erCZNmuS7X14nvbvr22+/tQ/5vOSSS9ShQ4ccbQYNGmQfGrl06VK31zzy1WsmNx988IH9vi5UqlQpTZkyRaVKlZIkxcbG6vPPP3f52Cb46quvdPLkSUmSv7+/pkyZYp9E4UJhYWH64IMPXDrur7/+ah9yW7FiRc2cOdP+POembNmymjRpkv36pEmTckyQkn1oaMeOHV2qI/tQ66KWfYimK5OsPPHEE2rbtq1uvPFG7xVVwiUnJ9tPZThx4oSPqzHLc889p9jYWP3www8qXbp0rm1OnTplP6VBypygy5nff/9dHTp0UOvWrbVo0SIlJCTor7/+0sSJExUZGal7773X4bSUC/ft2rWrGjdurK+++kpnzpzRH3/8obvuukvVq1fXW2+95XQCpVWrVql58+bq16+f1qxZo7i4OO3du1eDBw/WjTfeqK5duzpdlP7s2bPavn27KlasqGrVqjl9bNkdOXJEffv2Vd26ddWkSRNNmTLF4favv/5avXv3VsOGDVWlShVdeumleuWVV1yaVCo2Nla33HKLLrvsMmVkZOjLL7/UgQMHtGrVKpUuXVpt2rTR22+/nWO/jIwMl5c/aNmypSTpzz//dKk9kIOvE2ZBZe/BK+wlrx48dyQkJNiPWb58eaftsn9Dfd1117l8/Oz7jRw5Mt/2nTt3dugxyc+zzz7r0IOWm4EDB9rbREdHu1T3vffea9+nWbNmubbJ/thGjBiR7zGXLFlib1+9enWn7VzpvRk+fLi9TYsWLVx6TJ7Wu3dvl3okr7rqKnu7CRMm5Hvc4vCaubCOli1b5ntcy7Ksfv362ffp06dPrm1M7cG78cYb7W26devmUh3Zh8w6O27WsFtJ1ujRo106rmVZVv369e37bdu2zeG2sLAw+22//vqry8f0lW3btrn0Pm1ZlrV27VorNDTUOnDgQBFVV7Js2bLFatmypcPog+DgYKtJkybWjBkzPHIfF3sPnitef/11++MdMGCA03ZffvmlVaZMGatChQo5epnS09Otu+++25Jk3XLLLTn2/eSTT6zAwEArKioqx/tccnKy9cwzz9h7xS8c1fPbb79ZgYGB1oQJE3KMzMnIyLBefPHFPP8WW716tSXJ6tChg9PHduFjiYqKsk9Udt1119k/M0+fPm1dc8011n333Wcf/pienm4NHTrUkmTdeeedeR577969VuPGjS1J1scff5zj9oyMDKt9+/aWJOvrr792uO3HH3+0unTp4tJjWLp0qX30Rl7owYMz7nUbFVPly5d3e/KD9evX68yZM27ts2/fPi1btkxbtmzRiRMnFB8f73TikDNnzujcuXMqU6ZMnscs6HTOUVFR+bapWrWq/f+uTAyQvb2zCUR+/fVX+/9dPdn5mmuusffcbdu2TfHx8fZevdy0b98+32NmP6G8sJOdrFmzxv7/rEXFi9KRI0e0ZMkS+/XsE6pcaMiQIVq+fLkk6eOPP9aTTz7p8v346jVzoeyTx+Sld+/e9gmLsvewXgyyP96ePXu6tE/v3r3z/bY3+2s9e+9rfpo1a2ZfQmPTpk1q3Lix/ba2bdval7UYMmSIpk+f7nJPni9k78E7c+aMYmNjFR4enqNdamqq7r33Xr3wwguqVatWkdXXunVrh94YT4mIiNCBAwec9gQXRPPmzb1SK1yXmJio//73v5Kk0NBQvf7667m227Bhg2699ValpqZq1qxZatWqlcPtCxcutPdyXThR3I8//qihQ4cqIiJCixcvzvH7EhQUpJdeekkJCQl66623VKZMGYcJYV599VWVKVNGTzzxRI6ROTabTc8995zDZ+CF9u7dK8nx8yYv3377rUJCQtSvXz9Jsi/pMWXKFP3www8aPXq0BgwYYG/v5+enBx98UDNnztSMGTM0fvx4RURE5DjusWPH1LFjRx05ckT33Xefhg4dmqONzWbTyJEjtW7dOj388MPq37+/fcTC4sWLdcMNN7j0GLL+xtmxY4dL7YELGRHwWrRooUWLFrm1T3R0tMvDNHfs2KFRo0bpxx9/dGv9ptjY2HwDXvYZDN2R25vPhbLfd5UqVdxqf+7cuRy3p6WlOawV1rx583yPeWG7jIwM7du3Ty1atHDa3pU38fxqdVVGRobD7H9t27Yt8LEK6pNPPlF6erok6bLLLlPDhg2dtr3hhhs0cuRIJSUlaceOHVq/fr3LX2744jWTm2bNmrnUrmnTpvb/nzhxwukf4qZJTU11+D0ryPOVG8uytHXrVvv18ePH691333Xp2NmDY9bQ0SyjRo2yB7xdu3apU6dOatCggXr16qUuXbqoc+fOLr32ikrp0qVVpUoVHT9+XFLmMM2s4VDZ/ec//1FgYKBGjRpVpPVln9kUyM+4ceN05MgR+fn56eOPP871b4r09HQNGTJEqampaty4ca5fZNauXVv+/v5KT093eM9JSkrS7bffroyMDD300EN5vgc/++yzevfdd/XJJ5+oX79+GjhwoCRp+/btSkpKUmJiotMh//3799e2bdtyvS3r/dCVzyRJmj17tm677Tb79ayAuHfvXj311FMO4S5L1qkmWX+jXPieZf1vVuMjR46obt269lCdmyuvvFKSdPDgQa1evVpdu3ZVenq65syZ43Q24gtlzdDu6dm6cfEwIuB50+rVq9W7d+8ChQhXFsLOqycrL4GBgV5tn1uQvfCNJvuCwXnJvpSEpHx7Tt2ttTDOnDnj8FgrV65cZPed5eOPP7b/P6/eOynzfKv+/fvbz1X4+OOPXQ54vnjN5MbV182F7c6ePXtRBLyC/p7l1y42Ntb+RYKUuSxHQcTGxjpcHzBggMaPH69nnnnGvvzBrl27tGvXLnuAbN68uW666SYNHz7c5XNovKlu3br2gLdv374cAW/Xrl169dVXtXLlSp+eLwjkZe3atXr99ddls9k0depUXXfddbm2W7x4sX3RbGc9SM2bN9e6dev0+++/66abbrJv/+ijj3TkyBFJ0tVXX51nPRUqVFDLli21adMmjRs3zh7wIiIitG3bNl133XWaNm2aIiMjc+wbHR3t9IugrPdEV+ZESEtL07JlyxzOS84677hnz5666667ct0v+5dq2ZdDyjJ58mR7L+PDDz+c55f3NWrUUHBwsJKTk7V27Vp17dpV33//vRo1auQw+igvWcv2pKenKyEhwaPn/OPiYMQkK94SFxenm266yR7uQkNDNWrUKH3//ffatWuXfYimlTkbqVu9e1myrydW3F0YWF0NABe2cyX4FpULa/Hk8CVXbNy40aFX5ZlnnlG5cuXyvGSfwOfzzz9XSkpKkdZcWK6+bi78WRSn1403XfjzLOjzdaHsa1YWRm5r2I0dO1abNm3SkCFDcv1D5M8//9Rzzz2n+vXrOx1CVpTym2hlxIgRuuuuu3TZZZcVXVGAG44ePapbbrlFNptNs2bN0rBhw5y2/eKLL+z/z2uUSrt27XTPPfeofPny9m3Z12LLLZhdKKvN1q1b7aEyqxd86dKluuSSS3T11VfrySef1KeffqqDBw9Kki6//HLdfvvtuR4z670rr7WBs6Slpendd9+1f7G8bds2e0C97777nO6X9YVXSEiI6tat63BbRkaGJkyYYL/9jjvuyLMGm81m/zLy8OHDkqSXXnpJzz77bL71Z8k+oU5cXJzL+wFZ6MHLw7Rp0+zf8pYvX16//vqrfXHh3DibecoUF/aeuPp4L2xXrlw5T5VUaBfWcmHvhLfNmDHD4XpCQoJb+58+fVoLFixweVx/cVDQ142zWTdLmuy9aLm58HEW9Pm60IW/v7/99ptHA0zLli01a9Yspaam6rffftPKlSu1atUqrV69WsnJyZIyh/E++uij8vPz0yOPPOKx+3ZXXoudz5gxQzt37mSRYSg1NVVNmza1/5HuCTVr1tTWrVsL1TOclJSkAQMG6PTp0/r666/t55o5k/00BFd7kLJs2bLF/n9XepGy97Jt2bJFjRo10oABAzRp0iQ98sgjSkpK0vLly+3nkkuZQxpfe+01p6NRst4znc2snV1wcLAGDx5sv7506VJJmTP3RkdHO93v66+/ttdy4czCP/30k72Hr1u3bi59FmWF0aSkJM2dO1ehoaHq0qVLvvtlyf45UZI6AlB88KrJw48//mj//6hRo/IMd5Lcnra+pAkJCXH4VunCP4yc2bNnj8N1XwyDdKZMmTIOw2R37dpVZPedkpKizz77rNDHyT7EsyRw9XWTvV1AQECuw2aKg+x/DLgyxXZ+51SEhoY6/J65MpW/lP/zGhIS4jCsKOvLK08rVaqUOnTooKeeekqLFy/WyZMn9eGHHzoM1X7++ec91qNYENm/oc/+/J48eVKPPvqo3n333QIPn4c5SpUqpZ07dyohIcFjlx07dhQq3FmWpSFDhujvv//WkiVL8g13kuNpEa70gjnb1xXZQ1j2nqd7771X+/bt02uvvaZu3bo5vJ+vWrVKnTp10pdffpnrMbNCY9YXRe5YtmyZpMyeS2dD/Hfs2GEfSZPbl6Vr1661/z/r/DpXnT17VqNHj9Zrr73m1n5JSUn2/7u6XBeQHQEvD1lDByS59E23qyfPlmStW7e2/3/9+vUu7ZN95s3y5cs7fHteHGSfLTJrrH5R+P7773Xq1ClJmcPr4uLiHIb75nXJvubcDz/84LU/1r3B1ddN9nZNmzb1+rmZ2b8ldWe4dfYg4MofQ3/99Ve+bbLPcFeQ58uZ7K/1X375xaXjFlbZsmV1zz33aO7cufZt8fHxRXb/uXHWgzd69Gh17txZ1157bdEXVQy4u56sJy9wzaOPPqoVK1Zo6dKluc7CfejQIW3fvt1hW82aNe3/P336tFv3lz2IuTKaIHubrPOCs2Ybj4iI0GOPPaYff/xRp06d0oEDB/Tee++pevXqSk1N1R133GH/TMwuq+fQ3YCXnp5un0wvr/MHs85pDw4OznUCGnf/Fsxu/vz5GjRokNv7ZQW8gIAAAh4KhICXB1e+jc/uwuF2JurcubP9/1999ZVLz9Enn3xi/3+nTp2K3Yd59+7d7f//6quv3P4ALKjsPW89evRwq8egffv29qE2aWlpmj17tsfr85bvv/8+36GoGRkZDoGgoMuJuCP7h2j2b0/zk30K/ezDmZzJfg6lM9l/z77++muny7FkSUhI0Pfff5/vcbMvufDpp5/mO1zUk6Kjox2+QT927FiR3feFcjsHb+nSpZo3b57LM4t6S9u2bb0SoKpVq3bRnMdqqokTJ2r69OlaunSp08AwefJkff755w7bsrd15Qum7LIPm4yJicm3fdZQRpvNZt/30ksvdTjXPEutWrU0cuRI/fnnn2rQoIESExNzfX/MCqgXzuCbn99++81+2oWzgGdZlv1vt+uuu87+HnXu3Dn7Z1D2URquLtWQpU2bNnrllVfc2keS/bzBmjVrMkQTBcKrJg/ZZ3vL3mOSm7lz5xZp74+vZD+R++jRo3r77bfzbP/VV1859OA5m8HKl+6880770LVz584VybToJ06c0MKFC+3Xb7zxRrf2t9lsDkNJStIwzfj4eL366qt5tvnoo4/sU1tLyvekdk/I/sGdteabK7L3amcPpbn56quvXJoGP/sU34cOHXKYES43EyZMcOn8zeHDh9u/Dd+7d6994oCCcqen8/z58w5fCPlyyG3t2rXtXzTFx8frn3/+0YgRI/Tyyy879Hbk5tixY+rZs6datWql0aNHy7IsxcfH6/HHH1fXrl11+eWX64orrtCmTZsKVNvGjRtd7sl353LkyJF8J+Lxxv26ekHevvvuO7344otatmyZ2rRp47Td77//bl/3Lctdd91lf71nP/XEmQkTJtjXzMz+3pvfe1diYqJ9qYPu3burevXqkjK/hMz+eXehChUq6KmnnpKU+9DxrCHV7p4GkzU8Mzg42OnanEuWLLF/yXP33Xfbt3/55Zf2IaPZh3S7+kVs1jD7xo0bKyDA/eku/vnnnxz3DbiDgJeH7GOt33vvPaeLCC9evLhI/gAtDho1auQQRp566imnkxH88ssvuvPOO+3XW7ZsqWuuucbbJbqtYsWKevzxx+3XP/nkE40cOTLP4SBnzpzJcx2c/MyePdv+x25gYKD69+/v9jGyT2W9efNml3qPiosJEyY4Pf9wxYoVDiH76quvLpLZDLP/0TR9+nSXJ9zJPjX5kiVLHGasy27NmjUuf8HRrFkz9e3b1349a1hTbj777LN8A3OWChUq6JlnnrFff+655/Tiiy/m2xN/9uxZvfPOO7r55psdth84cECdO3fWggUL8u1lfP755+0zEgcGBjoMF82uTp069l6nvCZFKIzg4GCHQD98+HBVqFBBDzzwQL77Pv7443rzzTc1a9Ysvfnmm3rvvfd08803q3///lqxYoXWr1+viIgIXX/99bnOOAq4a+PGjRo5cqSWLFni8IXShZKSkrR69Wo1atTIYXv9+vU1fPhwSZlBMa8vsM6cOaPXXnvNvp7e9ddfr27duknK7PXPy3fffafU1FSVKVMmx+fj5MmT83yPyBrOmVugadKkiSTHoZKuyJpgpUOHDk7PPczq7axbt67D+820adPsC5lnXzcvv3OiLcvSK6+8Yp/Yxt2J07JkfcF54YL0gKuYRTMP99xzj1577TUlJSUpPj5eHTp00H333aeuXbuqbNmyOnjwoL755hv77EvDhw/X1KlTfVy1902cOFFr1qzRsWPHlJqaquuuu0433HCDbrjhBtWoUUMnT57UwoUL9fHHH9vf0IODgzVz5sxiu6bUM888o9WrV9tn9nr//fe1YMECDRkyRFFRUapYsaISEhK0c+dOrVq1SgsXLlRQUJAeffTRAt1f9h63q6++ukAzi3bs2FHVqlWzD+X4+OOPi8UU9PkZOHCgvvjiCw0aNEhffPGFBg4cqBo1aujEiRNasGCBZs2aZf/DuGzZsvn2XnnKrbfeqv/7v/+TZVnavHmzatSooTZt2qh8+fL2b7+bNWuml19+2WG/3r17q0mTJvZvrgcNGqQff/xR/fv3V3h4uA4dOqQFCxZozpw5ysjI0JAhQxyGLTvz3nvvac2aNYqLi9P58+fVq1cvDRo0SAMGDFCVKlV06NAhzZ07V998840k6eabb7afS5KXxx9/XOvXr9fXX38ty7L0wgsv6KOPPtKtt96qqKgoVapUSWlpaTp9+rT++usvrVu3TitWrFBqaqqioqJyHG/t2rVau3atKlWqpL59+6pdu3aqW7euwsPDlZSUpO3bt+uzzz5zOEd55MiRPp9Nt27duvbfnaVLl2rDhg35DoVKSEjQ6dOn1aRJE/vEC88++6w2bdqkSy65xN6uadOmmj9/vk6cOFGsFnlHyXPw4EH169dPZ86csQctZ86dO6fk5OQcAU+S3nrrLf3222/avHmzBg0apFWrVjlM5iRlnrM2dOhQjRgxwt77ZrPZ9PnnnysqKkpr1qzRzJkz7cEnu+TkZI0bN05+fn6aMmWKmjdv7nD77t279cwzzzj9Muqzzz5TlSpV1KdPnxy31apVS9WqVdOBAwcUGxvr0nqoSUlJ9vecvJ63rFMyevXqZX+fzxrunvUl2yWXXGL/+27mzJm5vg9KmQu6P/LII/Yv0saNG2fviZOkd955RxUqVMh3vVvp395SZ1+EAfmySqjbb7/dkmRJsq688kq397/yyivt+99+++1O282cOdOy2Wz2ts4unTt3tpKSkhy27du3L9dj1q5d295mxYoVLtfs7n7Zn6Pnn38+3/bTp093+Tndtm2bVaNGjXyfF0lWaGhovvW6+9j27dvncB/OZP85T58+Pc9jnjt3zrr22mtdekySrPDw8HzrzM2WLVscjvPRRx8V6DiWZVkPPPCA/TgRERFWamqqw+3F5TVzYR1DhgzJ9/kNDg62li1bluf9u/Lzdec18PTTT+dZk7PHuH79eiskJCTfx/Too49aK1assF+vXbt2nvWsXr3aKlOmTL7Hve2229w6bmpqqjVy5EiXX+tZl6ioKIfjXPh76MqlX79+VnJystPasr9WCvLe7qpBgwbZ72fMmDEu7bN48WLrnXfesSzLsv773/9akqz33nsvR7shQ4ZYfn5+eT7O4uro0aNWjx49rJYtW1qPPPKIlZGRYcXFxVmPPfaYFR0dbbVr186KioqyNm7cmOv+hw4dsgYPHmw1adLEatSoUZ6X0aNH51tP7dq1XXovSk5OtmJiYqyFCxdaUVFR9p9tu3btrO+//946dOiQdf78eXefDp+Ki4uzmjZt6tbvV82aNfM83oABAyxJVrNmzaxvv/3WOnbsmHXq1Clr8eLF1hVXXGHddtttOT5HLMuyTp8+bfXv398KDAy0XnzxRWvPnj1WSkqKderUKeu7776z2rRpY1WpUsX68ccfc+xbu3Ztq2rVqlbLli2tQYMGWRs3brSSk5OtkydPWsuXL7f69+9vhYSEWMuXL3da+0033eTW30w//vij/Tn59ddfnbabMWOGJcm68847LcuyrLVr11oNGza0duzY4dAuISHB6tu3rxUQEGB9+OGH1vnz562MjAzr2LFj1ldffWXdcsstVosWLay5c+fan68aNWpYgYGB1pEjR6ylS5daERER1p49e1yqv1mzZpafn5915MiRPNu5+vuBiw8BT3kHPMuyrPnz51t169bN9c20fPny1tNPP21/Q8x+m8kBz7Is69SpU9ZDDz1klS1bNtfnplSpUtatt95qHThwwOOPzRsBz7IsKyMjw5ozZ47VrFmzPD9EW7RoYU2cODHf4+VmzJgx9uMEBARYp06dKtBxLMuyVq1a5VDXggULHG4vLq+Z3Op47bXXrIoVK+b6/Hbu3NnaunVrvvfv6YBnWZa1fPlya8iQIVajRo2skJAQhy948nqMGzZssNq0aeP0j66ZM2dalmW5FcQsy7J27NhhRUdH53rcihUrWq+99lqBjmtZlrVmzRqrR48elr+/v9PXus1ms1q3bm299NJL1sGDBx32P3funPXaa69ZnTt3tgIDA/P8nWnUqJE1ZcoUKyMjI8+aiirgPfXUU/bnKiEhwe39+/TpY9lsthy/vxkZGVbNmjWtyy+/3FOlFqmhQ4daW7dutX8R9c4771i9e/e21qxZY2/Tv39/q3bt2lZ6errDvrGxsVbDhg1dDiP3339/vvW48gds9t/x/C75fd4XJytXrnT5cWVdunXrlu9xFyxYYF177bVW1apVrYCAAKt8+fJWz549rW+//TbffX/44QfrpptusmrUqGEFBARYoaGh1hVXXGG9+uqr1pkzZ3Ldp02bNtaGDRusc+fOWePHj7eaNm1qBQUFWWXKlLGaNm1qPfzwwzneWy70ySefuPy5ZFmW9euvv1phYWHW9ddfn+97zttvv23VqVPHqlmzpnX11VdbW7ZsybVdenq6NXv2bKtHjx5WvXr1rEsuucS6/PLLrQceeMBasmRJjt+H7du3W3379rXq1Klj9e3b19q2bZtLtR8+fNiSZHXq1CnftgQ8OGOzLM5udkVaWprWrVunP/74Q3FxcapUqZLq1Kmj6Ohor0/fXtwlJydr9erV2rt3r06fPq2wsDDVqlVL0dHRJXpx6n379umXX37RsWPHlJCQoNDQUNWtW1dt27Z1e7HYi12dOnXss6utWLHCfq5DSkqKVqxYob179yo2NlYRERHq2LGjGjZs6MNqC2fz5s1av369Tp06pQoVKqhhw4bq0qVLoYcn79q1Sz/99JOOHj2q8PBw1a1bV1dddZVH3n9iY2O1du1axcTE6PTp0woICFC5cuVUv359tWjRwmENO2eSk5P1xx9/aNeuXTp69KiSkpJUtmxZVa1aVa1bt1bjxo0LXacnffrpp7rrrrs0b9489erVy61909LSVKFCBdWrVy/HxBPr1q1Thw4dNGHCBD355JOeLNnrEhISdOutt2rBggVau3atOnfurPDw8BxDUJ966ilNmDBBR48edRiCetttt8lms+mFF17QJZdcookTJyo8PFxDhgxRYmKibrnlFi1YsMCtmurUqaM77rhDL7zwgqceJkqguLg4ValSRS1atHB56ZiS6qOPPtLw4cP19ttv66GHHsqzLb8fcIZz8FwUEBCgzp07O0xfjkzBwcHq0aOHr8vwuLp16zKDlZcFBgY6TN1vglatWnnlxPgGDRqoQYMGHj+uJIWHhztM6lIQwcHBioqKcnp+SnEzePBgDR48uED7/vbbb4qPj1fXrl1z3Pb555/Lz8/PfmzLsord0jDO/Pzzz/b38qzZj1955RWHcCdlTpfv5+fncB7lunXrVKpUKU2bNs2+bcGCBZo8ebKkzIlCSvIXN/CtsLAwDRw4UJ988on2799f7NbT9aRZs2YpNDRUt99+u69LQQnGLJoAALghazKmq666ymF7SkqKPv30U/Xo0UORkZGSVCxnDnamR48eevDBByVlPkabzaZbb73VoY1lWVq5cqUuu+wyh2UXWrZsqQ8//NB+PT4+Xvv377evE7lhwwZGPqBQHn30UVmWpSlTpvi6FK/5+++/tWrVKt11110uTSYDOEPAAwDADcuXL5e/v7+6dOnisH3NmjU6deqUfdmcpUuXqm3btj6osHDS0tK0Zs0atWzZMsd6hb/88ov++ecfh+VBJKlMmTIOC0J/8cUXat++vf36H3/8UaKH7MP3WrRooeuvv15Tpkwp8PIDxd348eNVrlw5jR071teloIQj4AEA4KLz58/r559/Vtu2bXMElqxT2ps2baoTJ07opZde0pgxY3xRZqG4OwQ1N1OnTnXY//Dhw0pMTPROwbhovPHGG0pMTNQbb7zh61I87q+//tInn3yil156SVWqVPF1OSjhCHgAALgoJSVFlSpV0n333Zfjtm7duunBBx/U4MGD1a9fP/33v/8tkcOsCjsEdevWrfrll18cAt7Jkyd17NgxL1aNi0Ht2rU1YcIEvfbaa9qzZ4+vy/GY9PR0DR8+XN27d9f999/v63JgACZZAQDARaGhoYqJiXF6+zvvvFOE1XhHYYegvv3222rQoIE9BEqZC0//+eefXq0bF4eHHnpIv/zyi4YOHarVq1cXeobi4mDcuHE6ceKEfvjhB/n50feCwuNVBMDr9u/fLytz3U37EgkAip/CDkE9efKkZs2alWN23GrVqmnZsmVKSkpyqx6bzVZiZiFF0Zk6daqCg4M1YsQIX5dSaJ988olmz56tZcuWqXz58m7ty+8HnCHgAQAASYUfgjp79mwlJyfnmISlQYMGSkpK0vbt292q56233tLQoUPdfyAwWpkyZfT999/r+PHjmj17tq/LKZQ1a9Zo9erVBVr6gd8POMNC5wAAwCP27dunn376SUOGDHHYvn//fq1YsULDhg3zUWUAcPEg4AEAAACAIRiiCQAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGCIAF8X4IqMjAwdPnxYoaGhstlsvi4HAAAAADzGsizFx8erevXq8vMrXB9ciQh4hw8fVmRkpK/LAAAAAACviYmJUc2aNQt1jBIR8EJDQyVlPuCwsDAfVwMAAAAAnhMXF6fIyEh77imMEhHwsoZlhoWF6e3V/+jbzYd1MuG8JCm4lJ/qVCyrKUMvU2SFMg77PTvvL33+20Glplvy97OpYUSo5o3soKAA/yJ/DNmlpmfor0OxmrnugIIC/PTqDS3c2v9MYoreWrpTe08m6nRiitIzLF3buobu7FhXgQH/dukei0tW5/+sUOXQIAUG+MkmSReMcG1Zs5zevLmVJOnw2SS9s2yX9p1MlCXpXEqaujSorOGdL1GFsoGFeswAAAAA8uaJ09FKRMDL7tlrmujpPo3V+bUVOnQ2SV/d10FNq4fn2vala5upernSWvTXEb0/pK1qlCtdxNU6SknL0LAZ6xUU4K/6VUL0ze+HdEMb97pgzySmaPjMDXq+XxO1qFlOkrR02zHdP3uTfvjrqD67O0plAjN/rDuOxislPUOHzibleiybTXppQDNJ0on487p75ga9dmML+/O572Si+r6zRj/8dVRzR7RXpZCgAj5yAAAAAEWhxAU8SfLzs6lOpTI6dDZJ8clpTtulpGVoza4T+uiOdsUinAQG+OnT4VdIkmJOn9Pk1XvdPsa7y3frzo517eFOkro1idDt7Wtrypp9envpLo3t01iStPNovCYNaavoRpVVyt9PfrZ/vxVYvPWoNh44o471K0mSvttyWFsPx+mNJTv10R3tJEl1K5VVp/qVtGTbMX27+bDu6lS3MA8fAAAAgJeV2GUSapbLHI4Zc/qc0zYfrNyjQVG1ikW485Sfdp/U41/+obW7Tjps79m0qiTpuy1H7Nv2nEhQdKPKCi7lL38/mz3cHYtL1qx1B/Roj0b2tpdWDVNYcICqhgc7HDcpNV2SVCbQt8NaAQAAAOSvRPbgSVJkhczhljFnch9+uOdEgrYfidOobg2Ksiyvu6RyWf19LF6xSakO27POkTvxv3MTJWl094YKLuUYzCzL0tPf/KkX+jd1OF+vfb2K2vJCT4e2KWkZ2no4TuXLlFLvZlU9/VAAAAAAeFgJDniZPXj/5NKDZ1mWXv5um166tllRl+V17w1qo1MJ51UlzLGnLes8uzoV/51o5sI2kjTntxi1rFlO9auE5Hk/6RmWxi/cLn8/myYNaatyZZhkBQAAACjuSmzAq1k+qwcvZ8Cb81uMOtavpJrly+S4raTz97PlGtzm/X5YknRLu1pO9z2dmKLJq/dqwYOdnLb5859Yvfz9Np1IOK/0DEsf3X6Zw/l+AAAAAIqvEhvwIv8X3v65YIjmifjz+m7LEX185+X2bZZlad7mQ9p44Ixevra5S8d/f+Vurfr7hNt1lS8TqEm3tXV7v8LYdzJR324+pKi6FTS0fW2n7aau2au2tcurbJDzH3vzmuGac297SdKy7cd046R1Gtaxjp7sdalHpm0FAAAA4D0lNuBVDg1SUICfjsUlKyUtw34+2cvfb9OTvS+Vv19mGJn/x2FtiTmr9ftPq0EV1xcOvD+6vu6Pru+V2j0pNT1DD3/+u5rVCNeU2y9TgH/u8+acS0nTp78e1HPXNHH52Fc3jlD/ltX14aq9Kl8mUCOurOepsgEAAAB4QYmdRdNms6lG+dLKsP49/2z5jmOqEhqkZjX+XRevf8vqeuaaJm6Fu5LkmW/+UljpUvp0eJTCgks5bbd461HFJqWqbuWybh2/c4PMZRQmrdqjjAyrULUCAAAA8K4SG/Ckf4dpxpw+p8TzaZq0aq8e6d7Qx1UVnTd/3Knzaemadkc7+7DLpJT0XNuu2Zm5rELlXJaMyMiwdNtHv+qK8cu0+3i8w23l/ze5ytlzqTp9LsWT5QMAAADwsBI7RFNynGhl5d8ndF90PZUJ9MxDmrhit1bvdP8cvHJlSunD2y7zSA15mfPbQR2PP683BraSn9+/58Y9+uUfmjioTY72v+47LUkKL5Ozl+/MuRSt+d+6eiv/PqH62Xo7z/5vOYagAD972AMAAABQPJXogJe1VMKiv46qYtlAdW1UxWPHHtm1vkZ29e05eD/vOakT8ec1oFUNh+0r/j6uXccSNP66Zg4Tn6SmZ+h8as4evIwMS0fjkiVJgbmco1cxJEjVw4MVER6svi2qOdy2ft8pSdL1bWraz2sEAAAAUDyV7ID3vyGaf8Sc1bIx0b4txk0n/7cg+ZlzKbIsK8cMlbFJqRr60XqlZVgKL11K0f8Lr3/+E6sHZ/+uKmFBWv73cYd9klLSFd2oco77On0uRen/O38ut4AnSS9f10yf/nJQaen/nmd34FSivt18WE2rh+mpPpcW/MECAAAAKBIlOuBlDdEc26exKofmPLesOBr+8QYdOJWofScTJUnLdxxXu1eWqmb5MhrZtb66N4mQJIUEBahdnQo6cCrRYVHyMXM3K+F8mhJOpOV6/Esq5VzAPDQ4QA2qhKhKWJDDcM7srro0QtXCS+u/S/7W0dhk2WxSfHKa7ul8ie7ucomCS/kX9qEDAAAA8DKbZVnFfmrEuLg4hYeHKzY2VmFhYfbt51LSNOe3GN3RoU6+a7SN+eIPSdLrA1t6tVYAAAAAcIezvFMQJboHr0xggIZ1rOvrMgAAAACgWCjRAc8Vi7ce1dJtx/TjtqOyJD02V+rWJEI9m1b1dWkAAAAA4FEleogmAAAAAJR0nsw7JXqhcwAAAADAvwh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhnA74K1evVr9+vVT9erVZbPZNG/evDzbf/311+revbsqV66ssLAwtW/fXosXLy5ovQAAAAAAJ9wOeImJiWrZsqUmTpzoUvvVq1ere/fuWrhwoTZu3KiuXbuqX79++v33390uFgAAAADgnM2yLKvAO9ts+uabb3Tttde6tV/Tpk11880367nnnnOpfVxcnMLDwxUbG6uwsLACVAoAAAAAxZMn806Ah2pyWUZGhuLj41WhQgWnbc6fP6/z58/br8fFxRVFaQAAAABQohX5JCv//e9/lZCQoIEDBzptM2HCBIWHh9svkZGRRVghAAAAAJRMRRrwZs+erRdffFFffPGFqlSp4rTd2LFjFRsba7/ExMQUYZUAAAAAUDIV2RDNzz//XMOHD9fcuXPVrVu3PNsGBQUpKCioiCoDAAAAADMUSQ/eZ599pmHDhumzzz5T3759i+IuAQAAAOCi43YPXkJCgnbv3m2/vm/fPm3evFkVKlRQrVq1NHbsWB06dEgzZ86UlDks8/bbb9fbb7+tqKgoHT16VJJUunRphYeHe+hhAAAAAADc7sHbsGGDWrdurdatW0uSRo8erdatW9uXPDhy5IgOHjxobz958mSlpaVp5MiRqlatmv0yatQoDz0EAAAAAIBUyHXwigrr4AEAAAAwlSfzTpEvkwAAAAAA8A4CHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGcDvgrV69Wv369VP16tVls9k0b968fPdZuXKl2rRpo6CgINWvX18zZswoQKkAAAAAgLy4HfASExPVsmVLTZw40aX2+/btU9++fdW1a1dt3rxZDz/8sIYPH67Fixe7XSwAAAAAwLkAd3fo3bu3evfu7XL7SZMmqW7dunr99dclSY0bN9batWv15ptvqmfPnu7ePQAAAADACa+fg7du3Tp169bNYVvPnj21bt06p/ucP39ecXFxDhcAAAAAQN68HvCOHj2qiIgIh20RERGKi4tTUlJSrvtMmDBB4eHh9ktkZKS3ywQAAACAEq9YzqI5duxYxcbG2i8xMTG+LgkAAAAAij23z8FzV9WqVXXs2DGHbceOHVNYWJhKly6d6z5BQUEKCgrydmkAAAAAYBSv9+C1b99ey5Ytc9j2448/qn379t6+awAAAAC4qLgd8BISErR582Zt3rxZUuYyCJs3b9bBgwclZQ6vHDp0qL39iBEjtHfvXj3++OPasWOH3n//fX3xxRd65JFHPPMIAAAAAACSChDwNmzYoNatW6t169aSpNGjR6t169Z67rnnJElHjhyxhz1Jqlu3rr7//nv9+OOPatmypV5//XVNnTqVJRIAAAAAwMNslmVZvi4iP3FxcQoPD1dsbKzCwsJ8XQ4AAAAAeIwn806xnEUTAAAAAOA+Ah4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhihQwJs4caLq1Kmj4OBgRUVFaf369Xm2f+utt9SoUSOVLl1akZGReuSRR5ScnFygggEAAAAAuXM74M2ZM0ejR4/W888/r02bNqlly5bq2bOnjh8/nmv72bNn68knn9Tzzz+v7du366OPPtKcOXP01FNPFbp4AAAAAMC/3A54b7zxhu6++24NGzZMTZo00aRJk1SmTBlNmzYt1/Y///yzOnbsqEGDBqlOnTrq0aOHbr311nx7/QAAAAAA7nEr4KWkpGjjxo3q1q3bvwfw81O3bt20bt26XPfp0KGDNm7caA90e/fu1cKFC9WnTx+n93P+/HnFxcU5XAAAAAAAeQtwp/HJkyeVnp6uiIgIh+0RERHasWNHrvsMGjRIJ0+eVKdOnWRZltLS0jRixIg8h2hOmDBBL774ojulAQAAAMBFz+uzaK5cuVLjx4/X+++/r02bNunrr7/W999/r5deesnpPmPHjlVsbKz9EhMT4+0yAQAAAKDEc6sHr1KlSvL399exY8ccth87dkxVq1bNdZ9nn31Wt912m4YPHy5Jat68uRITE3XPPffo6aeflp9fzowZFBSkoKAgd0oDAAAAgIueWz14gYGBatu2rZYtW2bflpGRoWXLlql9+/a57nPu3LkcIc7f31+SZFmWu/UCAAAAAJxwqwdPkkaPHq3bb79dl112mS6//HK99dZbSkxM1LBhwyRJQ4cOVY0aNTRhwgRJUr9+/fTGG2+odevWioqK0u7du/Xss8+qX79+9qAHAAAAACg8twPezTffrBMnTui5557T0aNH1apVKy1atMg+8crBgwcdeuyeeeYZ2Ww2PfPMMzp06JAqV66sfv366ZVXXvHcowAAAAAAyGaVgHGScXFxCg8PV2xsrMLCwnxdDgAAAAB4jCfzjtdn0QQAAAAAFA0CHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGKFDAmzhxourUqaPg4GBFRUVp/fr1ebY/e/asRo4cqWrVqikoKEgNGzbUwoULC1QwAAAAACB3Ae7uMGfOHI0ePVqTJk1SVFSU3nrrLfXs2VN///23qlSpkqN9SkqKunfvripVqujLL79UjRo1dODAAZUrV84T9QMAAAAA/sdmWZblzg5RUVFq166d3nvvPUlSRkaGIiMj9eCDD+rJJ5/M0X7SpEn6v//7P+3YsUOlSpUqUJFxcXEKDw9XbGyswsLCCnQMAAAAACiOPJl33BqimZKSoo0bN6pbt27/HsDPT926ddO6dety3Wf+/Plq3769Ro4cqYiICDVr1kzjx49Xenq60/s5f/684uLiHC4AAAAAgLy5FfBOnjyp9PR0RUREOGyPiIjQ0aNHc91n7969+vLLL5Wenq6FCxfq2Wef1euvv66XX37Z6f1MmDBB4eHh9ktkZKQ7ZQIAAADARcnrs2hmZGSoSpUqmjx5stq2baubb75ZTz/9tCZNmuR0n7Fjxyo2NtZ+iYmJ8XaZAAAAAFDiuTXJSqVKleTv769jx445bD927JiqVq2a6z7VqlVTqVKl5O/vb9/WuHFjHT16VCkpKQoMDMyxT1BQkIKCgtwpDQAAAAAuem714AUGBqpt27ZatmyZfVtGRoaWLVum9u3b57pPx44dtXv3bmVkZNi37dy5U9WqVcs13AEAAAAACsbtIZqjR4/WlClT9PHHH2v79u267777lJiYqGHDhkmShg4dqrFjx9rb33fffTp9+rRGjRqlnTt36vvvv9f48eM1cuRIzz0KAAAAAID76+DdfPPNOnHihJ577jkdPXpUrVq10qJFi+wTrxw8eFB+fv/mxsjISC1evFiPPPKIWrRooRo1amjUqFF64oknPPcoAAAAAADur4PnC6yDBwAAAMBUPlsHDwAAAABQfBHwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMAQBDwAAAAAMQcADAAAAAEMQ8AAAAADAEAQ8AAAAADAEAQ8AAAAADEHAAwAAAABDEPAAAAAAwBAEPAAAAAAwBAEPAAAAAAxBwAMAAAAAQxDwAAAAAMAQBDwAAAAAMESArwtw26KnpD/nSonHM68HlJYqXCLdOlsqX8ex7fdjpI0fSxmpks1fqtJEunuZFBBU5GXbZaRLa96Qtn4jlS4npSRI9btLXR6TSgUX/JjTekndx0m12zvedu60tHKCdHKXdO5UZtsWA6Ur7pcCAgt+XAAAAADFTskLeL3GSz1elt5uIcXGSHctkaq1yL1t39el8JrStvnSwJlSuciirTU3Cx+V/l6UGTTDqkvJcdKMPtKRP6TBcyWbzf1jrn1D+me9lJHmuP3caemzW6Rer0o12mRu+/sH6Yvbpe3zpdsXSIFl3T8uAAAAgGKpZA7R9PPL7LWTpPNxztulpUh7lkuDvige4e7gL9KGaVKnhzPDnSQFh0nRT0m7f5T++sr9Yx7ZIm2alfttq/9PuuK+f8OdJDXqLV1+t3Roo7Ty1YIdFwAAAECxVDIDniSVq5X575kDztusfVNqO0wKqVw0NeXn908y/730GsftDbpL/kHSppnuHS8tRVr9mtThwdxv37tS+vYBac8Kx+2N+2X+u3VewY4LAAAAoFgquQGvfO3Mf886CXgnd0nH/pSaXV90NeXnwE9SYKgUXsNxu38pqWI9KWZ95nlvrlr1qtThIalUmdxvr1g/8xy/5LOO28tUyvw34VjBjgsAAACgWCp55+BlKVcn89/cevAsS1r8VOY5eMVFelpmrSFVcr89MERKS5ISjkth1fI/3sFfJZufFHl5ZpjNzU0zpMQTUmhVx+2xBzP/zRrm6u5xAQAAABRLJbcHL2uIZm49eJtmSpdE/9umOEiOlaz0zCCXm6D/bU86k/+xUs5J696Tujyedzs//5zhTpK2zM38t+3tBTsuAAAAgGKp5Pbg2YdoHnTcnnBc2vq1NOTrzOsnd0lbvshcGuH0XqlaSynq3vyPv+YNafcy9+sqU166+ZOc29OSM/8NcLIUgl+pzH/zmjQmy/KXpSufyH+Zg9yc2iP9+YVUu5PU7m7PHRcAAACAz5XcgBcSkRmW4o9kTgqSFUoWPyV1ezGz90qSvr5b6v6SVLezlHRW+r/6mb1orQfnffzOozMvnhIcnvftKYmZ/+a3Rt+e5ZmTxlRt5n4N6anSV8Olaq0y1w30z/bjL8xxAQAAABQLJXeIps0mhUdKVkbmeniStHNxZvCr3urfdulpmWvMSZkLi5cuL/3zW1FXmzkEs1SZzHpzkxKf+W9wOefHSI7NHH7a4aGC1fDdI5lBc+i3joGzsMcFAAAAUCyU3B48KXOY5qld0pn9mcHup7czFwvP7r61//4/JTFz0hFnC6N7W7naOWe0zHLudOZSCXmdN7h3lXR6n/Rxf8ftcYcy/100NjO4XX631PRaxzYrJkhp5zOfH///DQdNOScFlinccQEAAAAUGyU74GWfaGX3UqnTI1JgWeftN82U6nSS2tzuvE2WNa9Lu5e7X1PpctItn+Z+W4Nu0s/vZk6kUrr8v9uTzmb2Qtbp/O/Q0tw06Z95udCKCZlLG/SakDkU9UKbZkoJR6XrPsxcJD7Lt/dnzrRZ0OMCAAAAKFZKeMD730Qr2+ZLZStnLhiemyN/SLt+zAyB132Yd4jK0nlM5sWTLr0mM+Btm+84g+W2eZn/trzFsf2+1ZmTxjS/seD3uetH6cTf0jVvZQ5rzZKeKqUmF/y4AAAAAIqdkh3wsmbSPLxJemCD83bVWmZeWt4qTekq3TgtsyevqNW6QmrUR1r5qlSva2YPZMIJae2bmb13rbJN/JJ0Vpp1nZSRlnleXoNuzo977tT/9jntuP3w79LcYZlLJexc7Hhb6jmpfh7HzOu4AAAAAIqlkh3wsoZodh/nfAHx7MJrSNXbSN+OlEb94d3anLlphrTqP9Lsm6WgMOncycygdfXzjj1sQaFSrfaZ58ZVbpj7sZa/Iv05VzqzL/P6V8OlFeOlq5+TLu0rfXNf5uQtp+Jz379Sg4IdFwAAAECxZLMsy/J1EfmJi4tTeHi4YmNjFRYW9u8NKYnSplmZ69plD0dZDqyT5gzJnFikRpvMbV8MlfaslMYezNkeAAAAAIqY07xTAAVaJmHixImqU6eOgoODFRUVpfXr17u03+effy6bzaZrr722IHebU2BZ6YoRuYc7KXOGyFJlMnvDpMz18g7+KrW5zTP3DwAAAADFiNtDNOfMmaPRo0dr0qRJioqK0ltvvaWePXvq77//VpUqzodJ7t+/X48++qg6dy7C2RirtZT6vi5tn5+5JMDpPZmTm3R5vOhqAAAAAIAi4vYQzaioKLVr107vvfeeJCkjI0ORkZF68MEH9eSTT+a6T3p6urp06aI777xTa9as0dmzZzVv3jyX79OTXZYAAAAAUJz4bIhmSkqKNm7cqG7d/p190c/PT926ddO6deuc7jdu3DhVqVJFd911l0v3c/78ecXFxTlcAAAAAAB5cyvgnTx5Uunp6YqIiHDYHhERoaNHj+a6z9q1a/XRRx9pypQpLt/PhAkTFB4ebr9ERka6UyYAAAAAXJQKNMmKq+Lj43XbbbdpypQpqlSpksv7jR07VrGxsfZLTEyMF6sEAAAAADO4NclKpUqV5O/vr2PHjjlsP3bsmKpWrZqj/Z49e7R//37169fPvi0jIyPzjgMC9Pfff6tevXo59gsKClJQUJA7pQEAAADARc+tHrzAwEC1bdtWy5Yts2/LyMjQsmXL1L59+xztL730Uv3555/avHmz/dK/f3917dpVmzdvZuglAAAAAHiQ28skjB49Wrfffrsuu+wyXX755XrrrbeUmJioYcOGSZKGDh2qGjVqaMKECQoODlazZs0c9i9Xrpwk5dgOAAAAACgctwPezTffrBMnTui5557T0aNH1apVKy1atMg+8crBgwfl5+fVU/sAAAAAALlwex08X2AdPAAAAACm8tk6eAAAAACA4ouABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKABwAAAACGIOABAAAAgCEIeAAAAABgCAIeAAAAABiCgAcAAAAAhiDgAQAAAIAhCHgAAAAAYAgCHgAAAAAYgoAHAAAAAIYg4AEAAACAIQh4AAAAAGAIAh4AAAAAGIKAZ7hPt3+q1f+sVlJakiQpPSNdu8/s1sTNE5WYmljgtgAAAACKnwBfF+Cu1357TQv3LtSp5FOSpGD/YEWGReqdru+oZmhNh7Yv//Kyvtr1ldIy0uRv81f9cvU1u+9sBfoH+qJ0SZmhaeqfU7X4wGKFBYbpXOo5darRSfe2vFdB/kEuHeNs8lm9/8f72h+7X2fPn1WalaZrLrlGtzW+TaX8Szm0XXpgqTYc2yBJCg0M1bnUc8qwMjSqzSiVLVW2wG0BAAAAFD82y7IsXxeRn7i4OIWHhys29v/Zu+/wqKqEDeDv9MlMksmkF1LpvRsioCBBRBe7oqAgioofVmyACroWXN1VV0VZC2BDRVQURJAWmghSpUlLIAFSySSTzCSZdr4/howZUyeZlAnv73myJPeee+65l1nh5bRiBAYGwiEcuOrbq5BtysY3475Bt+ButV778YGPse70Orwx4g1E+Ue1YKtr9uL2F5F2Jg1Lrl6CCG0ESi2lmLJmCkL9QvHeqPcgkUjqvL6ovAgPbXgIMy+ZiZ6hPQEAaVlpeDztcXQN7oqPrvwIGoXGVX7K6ikoKCvA2dKz0Cq06B/eH3f1vAsDIgZUq9uTskRERERE5B1/zztN4XM9eAAglUgRFxiHbFM2SiwltZaz2q3Yfm473h31LkL8QlqwhTXbm7cXS48txcxLZiJCGwEA8Ff64//6/h8e3vgwVp9ajbGJY+us439//A939LjDFe4AYETsCNze7XZ8cvgTLNi/ADMGzXC7ZsUNKxrcRk/KEhERERFR2+Kzc/Bi/GMAAGdLz9Za5qODH+Hmrje3iXAHAMtPLAcAjIob5XZ8WIdhUEqV+Pb4t/XW8Vv2b5izbQ62n9vudnxUvLPONafWeKexRERERETkc9ptwMsozsCxwmO4KuGqlmxWnXbl7IJWoUWkNtLtuEKqQFxgHPbn7YfdYa+zjkRdIsw2M4wWo9txvUoPACgoK/Buo4mIiIiIyGf45BBNoErAK6ke8IQQeP331/HskGdbulm1sjlsOFt6FiHqmnsTtQotyu3lOF9+HuGa8Frref2y11FYXogwTZjb8XOmcwCAuMC4atecMJzAG7vfgNFiRIW9ApdGX4oH+j4AtVzdpLJERERERNS2+H7Aq6EH77vj32FI1BBE+0e3dLNqVWIpgV3Y3RZAqapylcriiuI6A55MKqsW7gDgp/SfAAA3db6p2rlFhxZh3vB50Kl0KLGUYPLqyThYcBAfjP4AMqms0WWJiIiIiKhtaXcBr6CsAKtPrcaC1AUAgO3ntqPcVo4uwV3gcDhw6PwhdAzqiM76znXW/9GBj7Dt7DaP2xWkCsKbI9+sdrzCXgEAtW6FIJc6fytKraUe3/O08TRWpa/CoIhBuK3bbW7nxncdj1Hxo6CQOrdPCFAG4L4+9+HJTU/i2+Pf4tautzaqLBERERERtT0+G/BC/UKhkqmQX5YPq93q2v/t9d9fx2MDH3P1Nu3N24v3978PwDnX7Y4ed+DKhCvrrX9q76mY2nuq19obqKx7uVOz1QwAHu/RZ3VYMXPzTPQI6YG3r3jbFRQrXZVYfQ5iF30XAMCPJ390C22elCUiIiIiorbHZwOeRCJBlDYKp4yncM50DvGB8dh8ZjPC/MLQI6SHW9kfrvsBxZZiJOmSoFPpWqW9GoUGfnI/OOCo8bzJagJQfxD8u5d+ewkBygC8NfKtasM/rQ4rjBXGaquIVvYiHjccb1RZIiIiIiJqm3x2FU0AiAn4a6EVs9WMhQcX4v/6/V+1cklBSegf3r/Vwl2lGP8YGCuMNZ4rqiiCUqpEtLbh8wbf2/ceKuwVmJ863xXuymxlrvMPrX8Io74ZhX15+9yuq+wtrNrb50lZIiIiIiJqm3z6b+0xWmfAO1N6BlvObsE9ve6pcRGTzw5/BqVUibyyPCikCtzf535IJJI6627sHDydSoe3Rr5V47lhMcOw+NBiFFcUu4VNo8WIbFM2BkcObvBCJt8d/w75Zfl4ZdgrkEr+yunPbXsO/7783wCAwvJC+Cv9XQu4VMoz5wGAW0+nJ2WJiIiIiKht8u2Ad6EHb93pdQj2C8bwDsOrlUkKSkLf0L6I8o8CAExZPQUBygBM7D6xzrq9PQcPAK6IuwKLDy3GutPrcFOXv1a7/OXULwCAcUnj3MrvzN6JgrICXJ10tdvxLWe24GTRScwZMsctqFodVlTYKlw/D4kagmExw6otKLP17FYAwJ097mxUWSIiIiIiapt8O+BdWEnz4PmD+PH6H2ss8/eNzgdEDMBXf35Vb8BrDv3D+2NE7Ai8t/89pESnINo/GufLzuPjAx9jcORgXN/peldZo8WI+9feD5uwIVAViGExwwAAh84fwpObn0SYXxg2n9nsVn+ZrcxVDgDu6X0Ppq+fjkckj2Bw5GAAzrl0y08sxz297sFlHS5rVFkiIiIiImqb2kXAmzFwBkL9QqudL7eVY9GhRbit623Qq/Wu49mm7BZr49/95/L/YMH+BZi+fjoClAEwlBswNGYoHh3wqFtvnFauxYCIAcgsyUSSLsl1/Nmtz8JkNbkWZfm7RF2i6/vK4aJv7X4L7+17D1KJFAICLw19CaPiR7ld50lZIiIiIiJqmyRCCNHajaiP0WiETqdDcXExAgP/WmXSbDXj+xPfY0K3CTXOqTt8/jDuWn0XFqQuwICIAQCAub/OxeHzh/HNuG9arP1ERERERES1qS3vNIZPr6KpUWgwsfvEWhdM6arvisk9J6N/eH8AziGM285uw7Q+01qymURERERERC3Cp4do1kcmleGaxGvw5p43IZfIkWPKwVODn+KQQyIiIiIiapd8eogmERERERGRr+MQTSIiIiIiIqqGAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidaFTAmz9/PhISEqBWq5GcnIydO3fWWvbDDz/E8OHDodfrodfrkZqaWmd5IiIiIiIiahyPA97XX3+NGTNmYO7cudizZw/69u2LMWPGIC8vr8byaWlpuP3227Fx40Zs374dsbGxuPLKK3H27NkmN56IiIiIiIj+IhFCCE8uSE5OxuDBg/Huu+8CABwOB2JjY/HQQw9h5syZ9V5vt9uh1+vx7rvvYtKkSQ26p9FohE6nQ3FxMQIDAz1pLhERERERUZvmzbwj96SwxWLB7t27MWvWLNcxqVSK1NRUbN++vUF1mM1mWK1WBAcH11qmoqICFRUVrp+NRqPr+9x5r6L4p59gLygAAEjUaijj4tDhvflQdujgVk/OP/8JwzfLAKsVkMmg6twZCUu/hlSpbFBbm4Ow23H+gw9g/Hk1ZIGBcJjN0F42HKEPPACpStXweqxWlB8+jMIvvoBUpULUiy/WXM5mQ+Enn6A0bRMgkcBRXg5tSgpC7r0XMn+tW1mbwYCCd+fDkpEBW5EBsNmhu3YcgidNgqQV3xkRERERETWMRwGvoKAAdrsdERERbscjIiLw559/NqiOp59+GtHR0UhNTa21zLx58/DCCy/UeC5i1kyEP/0UTqSmwnYuGwlfLoG6e/cay0bOmQN5VBRKflmLDv99C4ro6Aa1sTnlvPgiSjemIWHp11BERMBeWorTd05C+eHDiP3f/yCRSOq8XlgsyLz/fkiVKig7doTxxxXQXX99reXPPvEktCkpiPv0E0gkEgibDXlvvonMyZOR8OUSV3CzGQw483/TETF7Nvx69wIAlGzYiLOPPgrjL2sRv3gRpBqN194DERERERF5X4uuovnqq6/iq6++wvfffw+1Wl1ruVmzZqG4uNj1lZWV5XZeIpVCGR8PALCXlNRaj7BYYNr2K2IXvN8mwp15zx4UffU1QqZOheJCSJb5+yPsoQdh2rwFxlWr6q1DolQiftEixP5vAfQTJtRZ1vTbDjhMJujH3+oKjhK5HBFPPglhtcK45hdX2fMLFiB48iRXuAOAgCtGQj9xIsr/+AP58+c35pGJiIiIiKgFeRTwQkNDIZPJkJub63Y8NzcXkZGRdV7773//G6+++ip++eUX9OnTp86yKpUKgYGBbl9/p4iJAQBYz9S+WEvBhx9CP/5WyENC6rxfSyn67jsAQMBo995L/+HDIVEqUbRsmVfvV37wAERZWY3nlImJsOXmuH42/bod2bOfgenXX93KVba15OfVXm0bERERERF5n0cBT6lUYuDAgVi/fr3rmMPhwPr165GSklLrda+99hpefPFFrF69GoMGDWp8a6u25cJ8O+uZMzWer0jPQMWfRxE4dqxX7ucN5t9/h1SrheJvYViiUEAZH4+yvfsg7Hav3U8eFgbzrl3I+88bEFar67ijogJl+/dDM+Sv3zNlYiIcZjPsVeY7AoBMrwcA2C7MeSQiIiIiorbL4yGaM2bMwIcffohPPvkER44cwQMPPACTyYQpU6YAACZNmuS2CMu//vUvPPfcc1i4cCESEhKQk5ODnJwclJaWNqnhipgLAe9s9YAnhEDuv15FxMynm3QPbxI2G6xnzkKq1dZ4XqrVQpSXw1Zw3mv3DBg9GvKoKJz/8ENk3HQzyg4cgLBYkP3sc9BPnAC/Xj1dZWPefAOdNm9C4FVXudVhPXcOAKCMj/Nau4iIiIiIqHl4tMgKAIwfPx75+fmYM2cOcnJy0K9fP6xevdq18EpmZiak0r9y4/vvvw+LxYKbb77ZrZ65c+fi+eefb3TDK4doWmoYolm0bBm0KSmuMm2BvaQEsNvrDHgAYC8ugiIi3Cv3lGo0iPvgf8h68EFUHDuGU7fdDmWHDgifNRMBI0a4lZXIZFCEV7+vccVKAEDQLbd4pU1ERERERNR8PA54APDggw/iwQcfrPFcWlqa28+nTp1qzC3qpehwYQ7e3zZMtxUUoOTnnxH74YcAgHPPPgv/4ZdB3bMH5Ho9IHc+skQmg0Re++MXfPAhTFu2eNwuWVAQOrzzdrXj4sK2D5JatkKobIujiT2bf6dMSoJ+/G0oXrkCFceOw3L6NHLmPg/pvFegvfTSOq+1nDqF4pUroRk8uN4FXYiIiIiIqPU1KuC1BfKwMEhUKtjy8iAsFtdy/7mv/gthjz8OiUwGALCcOImzy76tdn34k08g5J57aq0/9L57EXrfvV5rrywgoM7zDrMZACBRNnwvvPo4zGacefgRaAYNROK336Li6FFkz5mL8j/+QOa99yHuow+hrWXupLBacfbJp6Du2QMd3ptfZxgmIiIiIqK2wWf/1i6RSKCIjoYlIwPWc+egTEhASVoa5GFh8Ov519wyZXwcwh+fAcjkkEglEFYrCr9YguC77mrR9kq1Wkj8/ACHo8bzDpMJACDTNW3n+qpy//UapAH+CJ02DQCg7tYNCV99icJPP0Xev/+D3FdeQdKKFTVem/3CC5AFBKDDO2/XOqyUiIiIiIjaFp8NeACg6NABlowMWM6chTwsDIUffYzYD/7nOi+sVgSMHQvN4MGuY/nvzkfE00+5evhakrJDTLVVKivZigyQKJVe269PWK0o/u47xH3yidtxiVSKkLvugrBYkf/GG7AXFUEWFORWJv+ddyEqLIj93wJIFAoAgKOsDFI/P6+0jYiIiIiImodvB7wYZxiynjmD/C2bEXLfvZBqNK7zEoXCbTGR0i1boUxIgCIqqt66C/73AUxbt3rcJlmQDh3eeafGc9rhl6Fw4ULYi4sh0+lcx+1GI2znsqG55BKvBU97aSmE1Qqpf829bwEjRyD/zTedvYpVFC1bBlt+PqL/9SokVRbLOTd7Njq8+aZX2kZERERERM3DpwNe5V54Jb/8AllICPwvu6zWsg6LBYYvvkCH999rUN2h99+H0Pvv80o7KwWkjkLhwoUw/vIL9FVWpTSudm4irrvuOrfypt92wFZQAN0/rvH4XnK9HspOHVG6fj3UXbpUO19x/Dj8L78c0iqLvpRu3oyKEycR+cLzkEgkruPCaoUor/C4DURERERE1LJ8OuApLgS8soMH0XHVT3WWLV6+HKrOnd2CS0vTDBgA/yuuQMG78+F/6aVQxMTAdv48zn/4ETSXXALdjTe4ytqNRmROnQrYbJDpAuE/fHi1+uznnZuP2w0GCCGqPVvUiy/izLQHIAsNRdBNN7l65ErWr0fBBx8i9r35rrJlBw/h7GMzIA8PR+mmTW71OMrKarw/ERERERG1Lb4d8C7scxf+xOOQh4bWWbbo22+hH39bSzSrTjFvvYmC+e8ha9oDkAYEwF5YCP/hwxA2Y4ZbQJNqtdAMHAhLZiZUSUludWT933RYMk/Dcuo0AKB00yYcHzYcig4xCL3/fgRccQUAQNO/PxK+XYbz//sAp75eCqlaDYfVAr/efRC3aKFz24gLsmfNhMNkgiUjo8Z2KxMTvf0qiIiIiIjIyyRCCNHajaiP0WiETqdDcXExAgP/WmXSYTajaNm30N95R509c3ajEceGpKDD/HcRMHJkSzSZiIiIiIioQWrLO43h0z14Uo0GwZPurLec9dw5wOFwm29GRERERETU3kjrL+L7pBoNZKGhriGdRERERERE7ZHP9eBt/eY4jv2eizKjBQAgV0ihC/fD1Q/0QWCo+5L/m748isNbz8FhF5D0+SeCP8vFLU/HQqZovVzrcAjsWX0KJ3bnQaVRwFphR1zPYAy6OgFyRcO3SLDbHcjPLMGBtDOQy6UYeWf3Bt//+3/vRsqNnRDdKchr9RIRERERUevzuYA37JbOGHpTJ3z67K8oLazAjU8NRFhsQI1lL7+9KwKC1Ti5Jw9X3d8bAcHqFm5tdZu/OoZTfxTg5qcHwV+vgqXMhu/f2IP8zFL848E+9a7yabc5sPLd/ZAppNBHanFsRy66DYls8P33rD6NnHQjhN196mVT6yUiIiIiotbncwEPACRSCYLCNSgtrIClzFZrObvNgczDhbhmel9oApUt2MKaZZ8owqHNZzF8fGf4653zAZV+clzyj0Ssev8ATuzKQ+fBEXXWIZNLcd2j/QEAxoIy7Fub2eD752eV4Miv57xeLxERERERtQ0+OwcvIMTZG2csKK+1zJ41p9FzeHSbCHcAcGR7NgAgqV+Y2/G4XiGQyaU4vK3m8OUNdpsDu1adQr/UuGa7BxERERERtS6fDXiBIc75dsbzZTWeN+SYUHCmFJ0H1d0j1pLOHSuCQi2Dv959qKhM5pxHmHOyGA5H8+xa8fvKDPQfHQe5suHz/IiIiIiIyLf4bsALdYakkhp68IQQ2LbsBIbe3Kmlm1Urh90B4/lyKFU1ByylWgab1eFaPMabsk8WQyKVIDJJ5/W6iYiIiIio7fDZgBdQRw/ekW3Z6NBN7+rlawsqymwQDgGFuuZpj5XHy01Wr97XarFj/7pMDLo6wav1EhERERFR2+OTi6wAVXrwzrv34JmNFhzflYtxD/cDANgsdvz2QzrU/gpYy23QBKrQd1RsvfXvXn0KmYcKPW6X2l+Bsff3rnbcbnUAQK1bNEhlztUz61o0pjF2/JCOQdckQib32SxPREREREQN5LMBTxOohEwhhamoAnabwxVgtn5zHJfe2AlSqTMwrVt8BCExWgwamwAA+Pa13dCF+SGhT2id9Q+8KgEDr0rwWnuVfnW/amu5HUDtAbAxsg4XQhOoRGgHf6/VSUREREREbZfPdutIJBIEBKshxF+9eKcOFECrUyIszrkvXlGuGSf35CGuR4jruuguQa7VLFuSUi2HXCkFRM2LqFgrnAFPpVF45X4VZTYc3nYO/UZz1UwiIiIioouFz/bgAc5hmkW5ZhjPl0GjU2LvL5n4x4N9XecLzpQCANT+fz2mJlCJQ5vPtnhbASAw1A8V5pqHYJaVWiCTS13bPzTVmT8LUZxfhh/e3Ot2vLSoAgCw5ZvjUPnJ0XtEB3QaGO6VexIRERERUevy6YDnWmiloByZBwsxYEw8FFVWqayc11aVcAhUmG2wlNugrGXBE6AJc/C0CoydVn0OHgDE9QzBvrWZKDdZodb+1VNXYbaitLACMV2CXENLm6pj/3B07F89uO1ckY7ffzqF4bd0RkxXvVfuRUREREREbYPPBby0Tz/Eka2bYC4uunBEjo2LQpA08C4Mu7WzW9lj279GueEXfPSgAxKpFKGx8YjpeT8A55y3mgKe3WZDXsZJ5J5YCa2/Alfe/7DX2p7UNxT71mYifW8+egyLdh0/sTsPANB1SKRb+cwj5/HH2u9xPmsf1Fp/WMrLkNhvEIbcOB5yZcM3b698pr1rVsKQXQ4gpZ6yx2Ex/YzMAwEA5tRR1opdK5fj2G9boVT7QanRoEO3nhg07kZIJN4JqkRERERE1HA+F/BGTLoXl99xDz586B6UFORDGXAb/AKjMXJScrWyVz3wIEqLFCjI3I8JLz4PhToIPy84AIkEbj1ogDOsfDfveciVSgTHxOLIlo3oefkor7Y9qlMQEvqEYufKDHTo7tzGwWy0YM+a04jpEoRuKVGushVmK76f9wZslpO45pEX0S2lMyrMZnz9wkzkZZzADTOfh7nEuWdemckKIUS1UFXTM4XEDgJQfTuGqmVV/uFwWI7AZu1fY70AYLNa8d28uZBIJLhp1gvQ6IJwMG0d1n7wLgJCw9Dt0su8+u6IiIiIiKh+PhfwAEAilUIfGY2SgnxAVCDlho7QBFbv0bLbrBC20xhy0yPI+KMCas15dOwfDpvFUW21SplcgVueexkAUJyXi10rvmuWtl91by/8/lMGfpr/B1R+cpSVWhHXMwQp13d0C1J5p4/BVrEf2pDRiO7SAQCg0mhw6S0T8cPrL2Lh4wthKU8CAJw+cB6LntqKwFA/DLwqHol9w6o906YlvwP4DoZcM5Ra4JeFh6BbkYEh1yUhqV8YZHIFNCHjUZxfhnPpzkVoSg0VNdYLAOs/fg8l5/Mx6V/vQKF2zhs0FxfBYbfBbvXuXn5ERERERNQwPhnwACAwLAIA0GmQn9twx6p2Ll+G8KRL0WlgPPz1zhCy5qOD6JocWWP5liBTSDHk+o4Ycn3HOssd3rQeADDxxYmuuYYAkNhvIGQKBQL16bjluXsafN9+qXHY9QPQPSUKV/3fFTWWueb/+gBwBtyPHvroQtnh1crlnUrHwbR1GHX3A65wBwCXXHczel4+Ctogzu0jIiIiImoNPrtNgi7cGfACQ6w1DiEsPHcG+aczcGKvDtkniwE4V9UsLSxHz+E1B8K25MyRA1D6+SEgxH2/PplcDn1kNM4d+xMOh71V2rZ/7SpACCT0HVDtHMMdEREREVHr8dkevMqAZ8zLqXZOCIG0Tz9C6j3/h5xTDhSeM2HnygyUGS246v7ekCtl1a5pSxx2O4rzcqHVBdV4XuHnB5ulAuaiIvgHh9RYpjll7NsNANAEBmLdx++j8GwWyozFiO3VB5feMhFqLTdWJyIiIiJqDT4b8CqHaBbn51Y7d2DDL4jv3Q+BYeEIDKt2us0rN5VCOBxQ+GlqPK9UO4dslpeWtHjAs1kszrmPAH7/8VsM+scNCIqIhLWiHN//659Y+s/ZuP2fr0Gh8s5+fkRERERE1HA+G/Aqe/CK8/PcjpuKDDi6fQtumv2C65gQAke2puHc0SNInfp/Xm/LjuXf4NT+3R5f5+cfiGsfn13teOUiJXKFoto5wDlMEwAqzGaP79lU5aUlru8DQsIQFOGcz6hQqZFy8+1Y+sIs7Ph+KYbdNqnF20ZEREREdLHzuYBXtDId5n15cJRaMT7xadgcVuS8uRuhk3tCHqxG2qcf4bIJd0EqlcGw/ARKd5yDREgQACniFR0hbA5I5DVPPbQVVaBkfSbKs4sxMvJ2BGSHoHj1KfgPj4FMW3PYAoDk629B8vW3eO0ZVVrthe8kMK7PRNmBfEj85BAWB9Rd9LCWVQBAg/bCEw6Bko1ZMO3N/uuZ1pxC4BVxkPxtJVFhFyjddhamvdkYEXkbAnJCULIpC/7DO0ByYQN2pZ/fhZZJEGVJQN7//oBEAjisDmjiNJBLlDi4cS0DHhERERFRK/C5RVaC/pGEqNnJkAWpAADrsz+H6rZIyIPVSN/zO7T6YEQkdQIA6K/vBN2YRCg6+ONY9EGcjDpca7izl1hw/tND0KZEQXNrLDbmfIms0HSU/noW+e/vh73U0mLPqFT7Qa5SoQv6w7QjG6FTeiH8/r4Iu7c3yv8sRNfyfgAAVQPmuhX9cAKmHdnwuyEGG3O+REbEUZT/WYjznx+GEMJVTtgFChYfRNnBAmhujEFazlfICD8G8x8FKFpx8q+2+WkglckxJOxaqIMDEHZfb4Td1wfh0/pCKpVhZNRtKCsqhtlY7PX3QkREREREdfO5gAcAEqkE8lBnT5JCqkJxXi4s5WX4/cdvMfSWia5ywuZAxXEDQu/qCau87oBm/iMf1nMmGH857TpmUVRA1UkPW0EZzPvym+dhahEX3hMdpJ0QcHkHyHTOMCtVyxE4Oh4hiEJ8YC8EhtU9wbDiVDFMO3IQcHkHSAOcPZAOqQOBo+NRftSAsj/+eqaSzVmoOF6EgCviIFE5F6ERUgf8U6Jh+i0bljN/Dc1Miu4HhVQJ9YBQ1wqmEpkEQWMTIZXI0EHbFVJZ217IhoiIiIioPfK5IZqVKnvwtHIdivNykbFvNy657ma3fdlK0rKgTY6CzL/+oYyKSC0kajlkOveywurcikCirD0L7/h+KU79scfjZ1BrA3DdE8/UeK5r2CWAAZAk+rmf6KCE3WFDt7BkSKV1hyjTLucCNOpeoTBVFP113656QC6B6fdcaPqGO8v+5tzcXBkbAIup0FVWlRgICGddyg4BAIC4qF4QmRUwFRYiKDLKVbbcbEKJtRB6XRRX0iQiIiIiagU+G/Dkwc4gp5UH4fjOX6EJ1CGx/yDXeWu+GdZsEwJT4xtUn7pjEGKeTwHg3OgbACRCAuu5Ukg1cmh6hdZ6bfINtyL5hlsb+yg1CrTpYXWU4eSR39Eneozr+PHft0FqM0MnD4VwCNfcuMyDf8BUbED3oZe7yloyiiFRySDXqYAqa9FIZFLIQ/xgOW2EcAiIchvsxc4eTqlaDpj+Kiu9EI4r0otcx6L6dIctvxDnVxyD7u4ISGTO8Jvz558IUUVD2bfCq++CiIiIiIgaxieHaAJ/BTx/uQ45J4/h8jvvcZ0TQqB4ZTp0/0jyqM4dO3bg2LFjKD5fAAkkCMkLQ6GkFIf6FMMqc3i1/XURdgGYHBAyYPuyJTBeWCnUXFyEnT8sg1Qth8QhgePCvMByUym+feU5rHr7ddcedcIuYDOUu4ZbmouLAABlJUYIISBVySCsDlcdLhL3sriwh7ztfLmrSPjl3XBAeQp5GYXIenMnLFklKDeW4vT3h7Dd7wi633hlM70ZIiIiIiKqi8/14K1evRoHDhyAyWQC1IBMJYFWOxAWAVSuPWn+PReqTnqs+XU9du/eDYfDGc40cilSbTbI5TU/9uY1P8N0Iccpul2Cn3AcwnoMobstSOygR6dByS3whICj3AY4AFVIIPxiBuCdt9+GXCqBze5AZEJX6LQdIDJMcJhtkAWqoPTzQ0y3nijKyUZITKxbHSWlBrw16wkYIYMkrisOFJbixBOPIFUxDGGIgsNsgyJSC1mQCtaiMrw7+2kUOexAXBccKCzB6dkzca38aijtcjgq7JCqZJAqZcjuYMGOc/uB0v1QfrQOVtggFMAVI0dCw+GZREREREStwucC3lVXXYUrr7wS/33zLRSXGHENBqL/k9e4Fvuwl1hg/iMfoXf3wjXSGOh0Ohw+fBidDDKEWINqDXcAEBobD3VpKYqKiiBXKpEQHImup0PQaWhP6AYm1HqdMS0L5UcNHj+LTCNHyJ09qh0XNmfK3GY9hHypDQ89+RQCAwNRXl6OxYsX45einUhFD2eIAyCVynDrnFdqrGO/fzbsqig8eu+9bnXsKy5EqiHSVYd2SBS+X78Cg1P+geSxwyGRSGC32/HzJ8ux6tQejLMMgqiwARd6BCUKKfQaHYrNJZBAgjhHKPqqOqJHdB+P3wMREREREXmHzwU8AJBKpQgODUFxiRF2qwOwC0DuDHhFP6VDNzYREqkENpsNx/YfwT+ih6L0TBYqFGX11v3QQw+5/Vz4zTGUbjoDmUaOgMtja7wmcEQsAkfUfK4xpGo5ciRFOGw5jbGjxiIwMBAAoFarMWLECHz11VdIl4YgopYtHxpTR0GsBXatBIknA+AotUIWoITtjAnDYwbi5KkMZEjzEKe5sBKnxQ5rjglTkm9CwMhYWLNNMHx/AtasEhQsOojQu3tB3UnvtfdBREREREQN47Nz8IKCggAAJZIy2Iqci3qU/VkIWYASyhjnEMGtW7cirkMo/shZi4LiTJQU5GP1+2/h+O/bG3wfdecL99l0BsIh6i7sJVKVDMcVzlUtu3Xr5nauc+fOkEGKo7JzkPrVns89reNcdjYk4Spo+ofj/JIjyP/gD5T/WYiAyzogSGhQprG59hAs/ikdEqnEuVm6RAJltD/CH+gL3TVJACQoWpHurVdBREREREQe8MkePADQ6509RCWSctgLyyELUKJkUxZCp/QCABQUFCA3Nxfjx48HABQuPQoACL61a7W6hEOgYNFBWM6UwJpnhiJc4zonrey1MtvgMFsbtOWCN2TLi6FwyKDT6dyOy2Qy6CQa5EqLIdHV3RZP6ggICMDpzEzsiDuCkVNHQnZhH7uybCPypMVIThgAABB2B0y7chHU+wAKCjZCrx8CmcwPkDgg6W9CiXUDtOuHwGG2ut4dERERERG1DJ8LeMeOv4zc3B9htRVg+GWAsMux5+wX6HhsDgJH9IBUKYMQAmvWrEHv3gewYeNcCGEFQqTwsydgiGMlpFKVW50OsxWmzAwkDX8Hvx5YgnK7A44LvXUKqRzKoVJIIEHR6UvQq+cb1dpk3JiF8mOez8GTauQIrWEOnt1uR4nDDD8hR/qxt5FvWA25Qge73YTgwOFQCMAuccBkNrmGXja1jqSkEAwd9gUqLN/hl7VK+Gv9IZPLUVJcgn6DBAqD1uHQoX7olvAqYBfQ+B/F/j+mXriXGlKpsxc1PuxBSB1+kCi40TkRERERUUvzuYDXpfMz6NxpFjZvGQabLReZe2/CuJDbIdMq4Nc1GACwZ88eJCUloU+fiTh1OhH5easRe3oGlI7wauEOAGT+SlgjciGVOmBDPv6+DotVDkBIEB11U41tChwZi8CR3puDV15eDgGBhE6/4ezZfAy+dDnUqkjYbCX4fest6NDTgtxDw1FWVuYKeOUni+AosUDTL7xRdRTt+A1SqQNqtQmACRarAbACciUAJVBmLUS3qH9CplVAHq6BcAjY7WGQy4ugVvshIOBS7NsbhswjWvyjix4Shc+O/iUiIiIi8lk+F/AAQCKRQqNJgNGYiwp5KSxZpYh8fCAAoLS0FIcOHcIdd9wBh8OCwsIt6NPnQ+zeuwvZZb/jJlQfogkAkkvKoDx8LwaNuQ/qcB0AKeyF5fj1nZ+xP2Ql+vX1R3Dw0Bqv3bJlC06cOOHxc2g0GtcQ0qpsNhsCA/MQEnMYwemTIe8XBKgASbkKIUevg7nzvxEWFouKCmevmaPMhoKPDwIOAamfHOquwR7XUaY4jai9DyEvsRv+zE5HXl4+HA4BrUSNMddGwi8g2/X8+ps6Q7NbgUEBXyDgkmjXZusi5zf8+NtqZPQpQbjHb4OIiIiIiJrKJwMeAGi1cTAadwBqA/wvjYUswDmXbM2aNUhNTYVUKkV6xv9gtw1FWtpunCw8hhCVrtb6rNpsDB71JEwb81BSfAYSiXMvuehBwcirOIqjxyZh+GU1Xzt8+HAMHz7ca8+mVqsREXESABDeYSwKFh+CVC2Hw2RFaKeRyHS8iYjIE64tHyQqGVQJgbCdL4f8wvxBT+uwhOThd2kCok6X4kbVUORrC7HZcQgGayaOpa9E/34fu9qnig9EYE4I7GfNyHtvn7O3ziYQFOb8PThw7BCSL0vx2vsgIiIiIqKG8dmA5+fnHBKp8iuFtZMaAHDs2DH4+/sjOjoaJlM6SkuPYPDg9wAAXx/OqbO++PiHYXMoEXLbXytOCiGQtXsKTq6/BHb7+WZ6kupUKhV0QXmw25UIGzMYGON+3vKzHoGB+VCpnIuYSKQShN3Xp0l1ZJzqDf8oFa665WYAQDiAbvbLsGXLePz+ezJyc9Zh+nRn76fdbodDKqC/sbNbnQqDATgM5OXleelNEBERERGRJ3w34KmdAU+tdm5MHhAQgG3btmHixIkQQuD4iZfRtcs/G1zft9+uQ3p6OqZMmYK4uDgAwLnspVCpu6GsrBxqdcvNKXM4bFCrS2Czamo8b7PJoVLZodHYvFKH3W7Hvr0ZmDx5sluZnNxliI8fAZmsL9avXw+z2QyNRoMlS5ZAq82CPmgTTOZPYbMWw+6ogFo9AFKpHVKpuvEPT0REREREjeazAU/tF+P89ULAO3HiBIYNGwalUomz575GsH4o/PxiUHaoAGWHC2Erds41K/zmGPx6BMOvZ6hbfSaTCWq1GiqVcxEWi6UQmZkfIiT4TQDfIjo6uta2NHYOnp+fH2677bZqx202IyQSAatNhrKyMvj5+bnOlZWVwVIhgVYL2O1GAFE11u1JHRUVOtjtdtezV33+wYN+gFZrwvr166FQOHv7TCYTAgKkMJYsQ5/eb0Ch0MFmK8Gv229Az15mmErv8/hdEBERERFR0/lswKvag3f48GFotVp07twZFZYC5OX+hH79FjnL9QyFukcIdH6fQiY7heCxNYePpKQkdO7cGREREQCAzKyF0OkG4uTJMwCAIUOG1NqW2NhD0Gg3e/wMCkUQgOoBz+G4sHiKQ4bDhw9j4MCBrnOHDx+GQzh7E222EtfxjIwMlJaWonfv3h7XERSkQVhYGP78889qzy+Xa5GXl4EuXbq4Al5SUhKiou5Gz553Qip1HpPLA1BmHomgoIVITCjy+F0QEREREVHT+WzAUyrDACihVJYhOzsL06c/AgA4fvxldOz0FCQS5z5sObkrUGI8AKVyC+yOyFrrGzZsGJYsWYLU1FTExobj7NkliIh4GPv27cOwYcPQpUuXWq9NSJiGhIRpXns2udy59YFKpUJaWho6duyIoKAglJaWYuvWrejU2fnbVrnlQ1lZGT777DM4HA6o1Wp07tzZ4zquvfZaLFmyBP7+/ujTpyvOnl2CLp2fxZ9//oktW7bg9ttvr/auAgLOIiEhAQCQm5uLw4eN6NMXcDi2AnjUa++DiIiIiIgaxmcDnkQigVIZCYslEyNH9oW/vz8KCjZCpQxDYEAvV7nIiHGIjBiHEyf311mfRqPBbbfdhnXr1mHHzs0IDS3Gnt1ncP31N6F79+7N/Thu5HItpFI/BAUFol+/fliyZAlUKhXMZjM6deqEkBAtTCZAoXCuCqpSqRAXF4fCwkKEhYU1qo7Y2Fjcd9992LJlC44e/RQRkcVYu/YPhIaqMWnSJGi1Wlf71GoFbrppNDZt2ouNGzdCInFuk5CaOhZ5+ctQajrWou+LiIiIiIicfDbgAYBWGw+LJRNJHQNhs5lwOvMD9Ov7cf0X1sLf3x/XX389Dh3egpwc4IYb7oKfXwcvtrjh/Pw6wGYzYtSoURg1apTbuW3bXoVUqoRa7ZyHKJVKcddddzWpDgDQ6/W49tprcejwJuTkALfcMrXG59//x70wGH7FiJFfIkh3vet4aelR5OUDEolPf6yIiIiIiHyWT/9NXKOJhcEAlJefQXrhZsTH3w+ZrOZVIz1RZNgJ4K/erfqcOvU+zhdu8fg+CoUOfXq/X+O5kJDLkZn5EazWYrd2WK1GlFecQ1BQsmsYam0aW0d9z2+1FEImC4Bc5u92vKIiFwDcelCJiIiIiKjl+HTA81M7e5fy89ZAqQxBaMiIamWOHDmCo0ePoqKiGALA8uXL0bVr11qHXQrhQIXFGVQkEkWD2pGQ8AASEh5o1DPUJix0NDIzP0Je/mrERI93Hc/LWwUAiIq80a18oWE7LBX5iIy8ttF1AA17fn3wpegUcjn8/bu6HT9/fhMAIDZ2SoOfk4iIiIiIvMenA576wmbnxpI/MGTI2hrLdO/eHd27d8fhw9sAAD16XF9nnVZrIYSwAwCkUqX3GuuhoKBBCA1NRUbG2wjWD4OfXwwslgKcPv0/BAUlIyrqJldZq9WIffvughA2KBQ6hIRc7nEdf9VV//MnxE/D/v1TIen4JPT6ZADO4ZnnspchPn4aQkNHevt1EBERERFRA/h0wKvswevU8WmolKH1lG4YuTwAWm1nKJVhkEhabnPzmvTu9TYyMt7B/j+mQi4PgNVaiOCQy9Cp4xOuhU0A54IqQbpBMJedhkbTqVF1/FVX/c+vUAShd58FOHniNaRn/BcSSCAg0KPHawgPG+Pdl0BERERERA0mEUKI1m5EfYxGI3Q6HYqLixEYGOg6brebce7cUnToMLnGsFLV4cNPAgB69Hi9WdtKRERERETkidryTmP4dA+eTKZBbOxdrd0MIiIiIiKiNsGnA15D5Of/gvyC9cgvWAdA4PCRpxEWOgphYVe2dtOIiIiIiIi8yqeHaBIREREREfk6b+ad1l1FhIiIiIiIiLyGAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidYMAjIiIiIiJqJxjwiIiIiIiI2gkGPCIiIiIionaCAY+IiIiIiKidYMAjIiIiIiJqJxoV8ObPn4+EhASo1WokJydj586ddZb/5ptv0K1bN6jVavTu3RurVq1qVGOJiIiIiIiodh4HvK+//hozZszA3LlzsWfPHvTt2xdjxoxBXl5ejeV//fVX3H777bjnnnuwd+9eXH/99bj++utx8ODBJjeeiIiIiIiI/iIRQghPLkhOTsbgwYPx7rvvAgAcDgdiY2Px0EMPYebMmdXKjx8/HiaTCStXrnQdGzJkCPr164cFCxY06J5GoxE6nQ7FxcUIDAz0pLlERERERERtmjfzjkc9eBaLBbt370ZqaupfFUilSE1Nxfbt22u8Zvv27W7lAWDMmDG1lgeAiooKGI1Gty8iIiIiIiKqm0cBr6CgAHa7HREREW7HIyIikJOTU+M1OTk5HpUHgHnz5kGn07m+YmNjPWkmERERERHRRalNrqI5a9YsFBcXu76ysrJau0lERERERERtntyTwqGhoZDJZMjNzXU7npubi8jIyBqviYyM9Kg8AKhUKqhUKk+aRkREREREdNHzqAdPqVRi4MCBWL9+veuYw+HA+vXrkZKSUuM1KSkpbuUBYO3atbWWJyIiIiIiosbxqAcPAGbMmIHJkydj0KBBuOSSS/DWW2/BZDJhypQpAIBJkyYhJiYG8+bNAwA88sgjuPzyy/Gf//wH11xzDb766ivs2rULH3zwgXefhIiIiIiI6CLnccAbP3488vPzMWfOHOTk5KBfv35YvXq1ayGVzMxMSKV/dQxeeumlWLJkCZ599lnMnj0bnTt3xvLly9GrVy/vPQURERERERF5vg9ea+A+eERERERE1F612j54RERERERE1HYx4BEREREREbUTDHhERERERETtBAMeERERERFRO8GAR0RERERE1E4w4BEREREREbUTDHhERERERETtBAMeERERERFRO8GAR0RERERE1E4w4BEREREREbUTDHhERERERETtBAMeERERERFRO8GAR0RERERE1E4w4BEREREREbUTDHhERERERETthLy1G9AQQggAgNFobOWWEBEREREReVdlzqnMPU3hEwHv/PnzAIDY2NhWbgkREREREVHzOH/+PHQ6XZPq8ImAFxwcDADIzMxs8gNT/YxGI2JjY5GVlYXAwMDWbk67x/fdsvi+W1Zbed/ff/89RowYAb1e32ptaAlt5X1fLPi+Wxbfd8vi+25ZxcXFiIuLc+WepvCJgCeVOqcK6nQ6fsBaUGBgIN93C+L7bll83y2rNd/366+/juLiYkyePLlV7t9Qy5Ytw/HjxzFr1qwm18XPd8vi+25ZfN8ti++7ZVXmnibV4YV2EBERtUlLlizBli1b8NJLL3l03TXXXIOePXsiMjISHTp0aKbWubv55ptRUVGB5557rkXuR0RE7RMDHhERtUunT5/GE088gQ8//NDjaxcuXIjZs2cjNzcXgwcPbobW1WzOnDnYsmULVq5c2WL3JCKi9sUnAp5KpcLcuXOhUqlauykXBb7vlsX33bL4vltWa77vRx99FPfddx8iIiI8vjYiIsK1ktkVV1zh7abVSiqV4u2338Y999wDg8Hg8fX8fLcsvu+Wxffdsvi+W5Y337dEeGMtTiIiojbkwIEDGDRoEDIzMxsV8ADg7rvvxqJFi3Do0CH06NHDyy2s2/XXX48+ffrgn//8Z4vel4iIfB8DHhERtTsPPfQQTpw4gZ9//rnRdSQmJqK8vBzZ2dlebFnD/Pzzz7j99ttx7tw5aDSaFr8/ERH5Lp8YoklERBcnh8OBJUuWYNy4cbj88ssxcuRIvPXWW7BarXVet2zZMowePbrR983IyMCpU6dadHhmVVdccQXsdnuTAioREV2cfGKbBCIiuvjk5eXh+uuvh1QqxcKFC9GlSxdkZ2cjNTUV69evxw8//OBaTnrp0qW49dZbAQB//vkncnJyMGjQoAbdZ8+ePXjxxReRkZEBPz8/3HDDDQgJCQEAjBo1qsZrsrKy8M4772Dbtm1QKpUoLS3FzTffjKeffrrW+3z33Xf473//C5vNBiEEnn/+eSQmJuLs2bMYMWKEW1mVSoVLLrkEy5cvx0033dSg5yAiIgLYg0dERG1Qfn4+UlJSUFBQgDVr1qBLly4AgKioKMybNw8rV67EJ598AgAQQmDJkiWua3ft2gUA6NatW733+fLLL5GcnIz+/ftj79692L59O7KysjBv3jwANS+wsmTJEvTs2RN6vR7r16/Hxo0bsXXrVmzYsAEbN26sVl4Igfvvvx+TJ0/GnDlzsG3bNvzyyy+YN28exowZg3vuuafGtg0YMAA7duyo9xmIiIiqavMBb/78+UhISIBarUZycjJ27tzZ2k1qFzZv3oxx48YhOjoaEokEy5cvdzsvhMCcOXMQFRUFPz8/pKam4vjx463T2HZg3rx5GDx4MAICAhAeHo7rr78eR48edStTXl6O6dOnIyQkBP7+/rjpppuQm5vbSi32be+//z769Onj2pw1JSXFbagb33XzevXVVyGRSPDoo4+6jnn6zqdOnYr09HQsXLgQWq3W7dyoUaMgkUiwaNEiAMDGjRsxbNgw1/n09HQAQHBwcJ3tXL16Ne68807cfPPNmDNnDiQSCQDnVgUnT55EUlISEhIS3K5ZtmwZJk6ciOeeew6zZs2CWq0G4OxxCw0NRXl5ebX7zJo1Cx988AEWLlzo6hH09/fH9OnTkZGRgSFDhtTYvsTERJw8eRJms9nt+PPPPw+JROL2VTXM8vPtfWfPnsUdd9yBkJAQ+Pn5oXfv3q5/SAD4Z6Y3JSQkVPt8SyQSTJ8+HQA/395mt9vx3HPPITExEX5+fujYsSNefPFFVF2ig59v7yopKcGjjz6K+Ph4+Pn54dJLL8Xvv//uOu+V9y3asK+++koolUqxcOFCcejQIXHvvfeKoKAgkZub29pN83mrVq0SzzzzjPjuu+8EAPH999+7nX/11VeFTqcTy5cvF/v37xfXXnutSExMFGVlZa3TYB83ZswYsWjRInHw4EGxb98+cfXVV4u4uDhRWlrqKjNt2jQRGxsr1q9fL3bt2iWGDBkiLr300lZste/68ccfxU8//SSOHTsmjh49KmbPni0UCoU4ePCgEILvujnt3LlTJCQkiD59+ohHHnnEddyTd75hwwYBQAwZMqTW+4SGhgqdTieEEOKOO+4Q2dnZrnMPPvig8Pf3r7OdpaWlIj4+XiiVymp/phw8eFAAEFOnTnU7XlBQIAIDA0XHjh2FzWYTQghRVlYmfvvtN3HfffeJsWPHCqvVWu19SKVSMWjQoGptWLBggQAgPvrooxrbWPnf5+PHj7sdnzt3rujZs6fIzs52feXn57vO8/PtXYWFhSI+Pl7cddddYseOHSI9PV2sWbNGnDhxwlWGf2Z6T15enttne+3atQKA2LhxoxCCn29ve/nll0VISIhYuXKlyMjIEN98843w9/cX//3vf11l+Pn2rltvvVX06NFDbNq0SRw/flzMnTtXBAYGijNnzgghvPO+23TAu+SSS8T06dNdP9vtdhEdHS3mzZvXiq1qf/4e8BwOh4iMjBSvv/6661hRUZFQqVTiyy+/bIUWtj95eXkCgNi0aZMQwvl+FQqF+Oabb1xljhw5IgCI7du3t1Yz2xW9Xi8++ugjvutmVFJSIjp37izWrl0rLr/8clfA8/Sdjx8/XgAQ7777bq33iouLEwDE/v37xcMPP+x27u677xYxMTF1trUyXI0bN67aubffflsAqPbfu3nz5gkAIjY2VgwdOlQMHTpUpKamiocfflhs2LChxvtcd911tT7LrbfeKgCI9PT0Gq9dvXq1ACB27drldnzu3Lmib9++NV7Dz7f3Pf3002LYsGG1nuefmc3rkUceER07dhQOh4Of72ZwzTXXiLvvvtvt2I033igmTpwohODn29vMZrOQyWRi5cqVbscHDBggnnnmGa+97zY7RNNisWD37t1ITU11HZNKpUhNTcX27dtbsWXtX0ZGBnJyctzevU6nQ3JyMt+9lxQXFwP4awjZ7t27YbVa3d55t27dEBcXx3feRHa7HV999RVMJhNSUlL4rpvR9OnTcc0117i9W8Dzz3flUPzLL7+81ntVDqd89tlnMXv2bLdzSqUSDoejzrZWztn7xz/+Ue3chg0bAFSff7d+/XoAwFtvvYWtW7di69atWLt2Lf773/9i5MiR1eoxmUyuocF/v48QAhs3bkR8fDwSExNrbKNCoQAAlJWVVTt3/PhxREdHIykpCRMnTkRmZiYA/rekOfz4448YNGgQbrnlFoSHh6N///748MMPXef5Z2bzsVgs+Pzzz3H33XdDIpHw890MLr30Uqxfvx7Hjh0DAOzfvx9bt27F2LFjAfDz7W02mw12u901vL+Sn58ftm7d6rX33WZX0SwoKIDdbq+2QW1ERAT+/PPPVmrVxSEnJwcAanz3leeo8RwOBx599FEMHToUvXr1AuB850qlEkFBQW5l+c4b78CBA0hJSUF5eTn8/f3x/fffo0ePHti3bx/fdTP46quvsGfPHrd5BJU8/XyfO3cOAFwLq9TlrrvuqvbfKp1OB5PJVOd1hw4dAgAMHz7c7bjD4cCmTZvQq1cvhIeHu53LysoCAPTp06fedgHA0aNHYbFYEB0djfj4eLdzBw4cQH5+PqZMmVLr9ZVz7/4+BzE5ORmLFy9G165dkZ2djRdeeAHDhw/HwYMH+d+SZpCeno73338fM2bMwOzZs/H777/j4YcfhlKpxOTJk/lnZjNavnw5ioqKcNdddwHgn5XNYebMmTAajejWrRtkMhnsdjtefvllTJw4EQD/TuhtAQEBSElJwYsvvoju3bsjIiICX375JbZv345OnTp57X232YBH1F5Nnz4dBw8exNatW1u7Ke1a165dsW/fPhQXF2PZsmWYPHkyNm3a1NrNapeysrLwyCOPYO3atdX+VbIxIiIikJeXB6VSWWsZudz5x9e1115b7VxCQgKMRiPMZnOtm4TbbDbIZLJqIXLfvn0wGAy48847ATgXpNq9ezcee+wx19YJgYGBtbZr165dru0ZKnsRu3btWq1cbb2EVVX29P89aFb+yzrgDJvJycmIj4/H0qVL4efnV2t91DgOhwODBg3CK6+8AgDo378/Dh48iAULFmDy5Mmt3Lr27eOPP8bYsWMRHR3d2k1pt5YuXYovvvjCtTrwvn378OijjyI6Opqf72by2Wef4e6770ZMTAxkMhkGDBiA22+/Hbt37/baPdrsEM3Q0FDIZLJqKyPl5uYiMjKylVp1cah8v3z33vfggw9i5cqV2LhxIzp06OA6HhkZCYvFgqKiIrfyfOeNp1Qq0alTJwwcOBDz5s1D37598d///pfvuhns3r0beXl5GDBgAORyOeRyOTZt2oS3334bcrkcERERHr3zG264AeXl5Th9+nS1cxaLBQ8//DBKS0sBOFcjA4BTp065yvTs2ROAc2hRbfr16weZTOYa6gkAFRUVmDVrFgDgsssuA+AcnjdmzBgAfwWrkydPVqtPCIGZM2e6DaHp0aMH/Pz83O4BAAaDAe+99x6AugNeVlYW1Gp1vX+5DQoKQpcuXXDixAl+vptBVFQUevTo4Xase/furmGx/DOzeZw+fRrr1q3D1KlTXcf4+fa+J598EjNnzsRtt92G3r17484778Rjjz3m2iqGn2/v69ixIzZt2oTS0lJkZWVh586dsFqtSEpK8tr7brMBT6lUYuDAga45D4DzX9HWr1+PlJSUVmxZ+5eYmIjIyEi3d280GrFjxw6++0YSQuDBBx/E999/jw0bNlSbczNw4EAoFAq3d3706FFkZmbynXuJw+FARUUF33UzGDVqFA4cOIB9+/a5vgYNGoSJEye6vvfknc+dOxedOnXCjBkzXNsOGAwGfPzxxxgzZgyuvvpq/Oc//wHgnC+yYsUKvPXWW67rBw8eDKVSib1799ba5tmzZ8NisWDFihUAgMLCQkyYMME1/FKlUqGgoABHjx51/eX+kUceQVJSEl599VXY7XYAzv9vV247k5CQgIceesh1D41Gg4cffhjbt293hYH09HRMnDgRx48fR5cuXeoMb4cPH8agQYOqBcS/Ky0txcmTJxEVFcXPdzMYOnRotW1tjh075hp2yz8zm8eiRYsQHh6Oa665xnWMn2/vM5vNkErd44BMJnONQODnu/lotVpERUXBYDBgzZo1uO6667z3vr2yJEwz+eqrr4RKpRKLFy8Whw8fFvfdd58ICgoSOTk5rd00n1dSUiL27t0r9u7dKwCIN954Q+zdu1ecPn1aCOFcojUoKEj88MMP4o8//hDXXXcdl8RtggceeEDodDqRlpbmtvyz2Wx2lZk2bZqIi4sTGzZsELt27RIpKSkiJSWlFVvtu2bOnCk2bdokMjIyxB9//CFmzpwpJBKJ+OWXX4QQfNctoeoqmkJ4/s4LCgrE448/LpKTk8XIkSPFDTfcIBYuXCjKy8tdZebOnSuSk5PF9OnT3f6/JIRzZbi/b3Pwd4sWLRLdu3cXQ4cOFVdffbX49ddfhRBCvPTSS6JHjx5iwIAB1VbmO3funJg4caLo3bu3GDlypLjiiivEs88+K7Kysmq8h91uF88++6zo3r27GD58uJgwYYL45ptvBAAxbdq0OtvXrVs38dxzz1U7/vjjj4u0tDSRkZEhtm3bJlJTU0VoaKjIy8sTQvDz7W07d+4UcrlcvPzyy+L48ePiiy++EBqNRnz++eeuMvwz07vsdruIi4sTTz/9dLVz/Hx71+TJk0VMTIxrm4TvvvtOhIaGiqeeespVhp9v71q9erX4+eefRXp6uvjll19E3759RXJysrBYLEII77zvNh3whBDinXfeEXFxcUKpVIpLLrlE/Pbbb63dpHZh48aNAkC1r8mTJwshnMviPvfccyIiIkKoVCoxatQocfTo0dZttA+r6V0DEIsWLXKVKSsrE//3f/8n9Hq90Gg04oYbbnDb24sa7u6773btcRYWFiZGjRrlCndC8F23hL8HvJZ+519++aWIjIx07VfXlrz88ssCgFi6dGmtZU6dOiUAiD/++KPaufHjx4uoqCihVCpFTEyMGD9+vNuebPx8e9+KFStEr169hEqlEt26dRMffPCB23n+melda9asEQBqfIf8fHuX0WgUjzzyiIiLixNqtVokJSWJZ555RlRUVLjK8PPtXV9//bVISkoSSqVSREZGiunTp4uioiLXeW+8b4kQVbaqJyIiagdsNhs6d+6MN954AzfccEOrtMHhcFQb+gQAw4YNw/bt25GTk4OwsLAar/3Xv/6FH3/8Edu2bWvuZhIRUTvTZufgERERNZZcLse8efPw8ssvozX+HXPTpk0ICgrC9OnT3Y6npaVh27ZtuPnmm2sNd1arFe+//z6eeeaZlmgqERG1Mwx4RETULt12222Ijo7GBx980OL3Xrp0KUpLS9GpUyfXsXXr1uHmm2/GlVde6bZR9t+999576Nu3L66++uqWaCoREbUzHKJJRETtltFoxJVXXon//e9/6Nu3b4vd98CBA3jqqadcq4CWl5dDo9Hgnnvuwa233urax+/vTpw4geuuuw4bNmyottEtERFRQzDgERFRu3b+/Hnce++9+Pjjj6HX61u7ObUyGAy45ZZb8Oabb6J3796t3RwiIvJRDHhERERtwMaNGxEXF4eOHTu2dlOIiMiHMeARERERERG1E1xkhYiIiIiIqJ1gwCMiIiIiImonGPCIiIiIiIjaCQY8IiIiIiKidoIBj4iIiIiIqJ1gwCMiIiIiImonGPCIiIiIiIjaCQY8IiIiIiKidoIBj4iIiIiIqJ1gwCMiIiIiImonGPCIiIiIiIjaCQY8IiIiIiKidoIBj4iIiIiIqJ1gwCMiIiIiImon5K3dAG84efIkPvvsM2zbtg1HjhyBwWCAxWKBVqtFVFQUOnbsiL59++KSSy7BiBEjoNPpWrvJREREREREXicRQojWbkRjFRUVYcaMGVi8eDEa+hhyuRwvvvgiZs6c2cyt8y0JCQk4ffo0AGDjxo0YMWJE6zaIiIiIiIg85rM9eAUFBRg5ciQOHjzodjwkJASdO3eGVqtFSUkJsrKykJ2d7Tpvs9lw5syZlm4uERERERFRs/PZOXh33323W7j7xz/+gd9//x0FBQXYvn071q1bhx07duDcuXM4e/YsPv74Y1x11VWQSn32kamdKS8vR/fu3aHVaiGRSKp9aTQaxMXF4ejRo3XWM2bMGMjl8mrXa7VavPTSSy30NERERETUFvjkEM0dO3ZgyJAhrp/vv/9+LFiwoEHXpqen4+TJkxg9enRzNc8ncYhm63E4HPjiiy8wadIkAIBUKsXq1asxatSoBv+DRE5ODgYNGoSzZ88iNTUVr7zyCgYPHtyczSYiIiKiNsgnh2guX77c9b2fnx9ef/31Bl+blJSEpKSkZmgVUeNIpVLccMMNrp8dDgcuvfRSj3qbw8LCIJFIMH78eCxZsoQ91UREREQXKZ/8W+CxY8dc3/fs2RMBAQFeqzshIcE1xC0tLQ2AczGX//73v7j00ksRGRkJtVqNxMRETJw4ERs3bvT4HkIILF++HFOmTEG3bt2g1+vh5+eHuLg4XHvttVi4cCGsVqvHda5atQrTpk1D7969ERYWBoVCgaCgIPTr1w933303vvnmG1RUVLiuOXXqlOtZK3vvAGDkyJE1DhmsqVevpvdVUlKC//3vf0hNTUV8fDxUKpXbeQBu9Z46dare50tLS3OVT0hIqLVcTe0xGo145513MHToUERGRkKlUiE+Ph5Tp07FiRMnqtXhcDjw9ddf4+qrr0ZERASUSiUiIyNx3XXXYe3atfW2tTH8/f0REhLi+rkh76Sqt99+G3q9HosXL2a4IyIiIrqYCR80evRoAUAAEN26dfNq3fHx8a66N27cKHbv3u12rKavKVOmiIqKigbVv2vXLtG/f/866wMgOnfuLHbt2tXgOgcOHFhvnQBEfHy867qMjIwGXVP5dfnll9f7vnbu3CkSExNrvH7jxo2u66oez8jIqPcZN27cWOMz1Neeffv2iY4dO9b6TH5+fm7tys/PF5dddlmd72H27Nn1/6Y0wqBBg1z3WLlyZYOvO336tAgMDBTbt29vlnYRERERke/wySGaVXs6Tpw4gTNnzqBDhw5ev09WVhYeffRRFBYWAgA6deqEDh06ID8/H4cPH3ZtzbBo0SIYjUYsXbq0zt6T1atX4+abb4bJZHIdCw0NRefOnaFSqZCRkeHqSTt+/DhGjhyJNWvWICUlpdY6V65cifHjx8NsNruOKRQK9OjRAyEhITCZTDh+/LjrGYqKilzl/Pz8MGbMGADApk2bUF5eDgAYPHgwgoODq92rT58+db6vEydO4PHHH4fRaHR7X0VFRfjzzz/rvLY5ZGVl4ZZbbkFBQQGkUil69eqFkJAQZGZm4uTJkwCAsrIyjBs3Dnv37kV0dDRGjx6Nffv2AQASExMRHx+P4uJi7N+/Hw6HAwDwyiuvoFevXrj99tu92t6EhATs2rULAJCRkdHg66ZPn4477rjDbV4qEREREV2kWjthNsabb77p1qNy2WWXiYKCAq/UXbUHKDQ0VAAQAwYMEHv27HErd/LkSZGamurWjvnz59da7/Hjx4W/v7+r7CWXXCLS0tKEw+FwK7djxw63Hr74+HhRVFRUY52HDh0SGo3GVVav14u3335bGI3GamX3798vnn766Vp7v/7e89VQVa8LCAgQAMTo0aPFkSNH3MoVFhaKwsJC189V31tz9eAFBwcLAGLixIni3LlzbuXWrVsndDqdq+ykSZPE9OnTBQAxaNCgar2nJ06cEL1793aVj42NFXa7vf4X5IEnnnjCVf/jjz/eoGuWLl0qoqOjRXFxsVfbQkRERES+yScDXl5enluwASD8/f3F3XffLZYtWyaysrIaXfffh2P27Nmz1r88WywWMXLkSFdZnU5XY7gSQrgN+xs3bpywWCy1tqG0tFT069fPVf6f//xnjeUGDx7sKhMeHi4OHTpU7/OVlJTUeNwbAQ+AGDt2rLBarfVe1xIBD4CYOnVqrWU/+eQTVzmZTCakUqno169fre/o2LFjQi6Xu67ZsGFDve32xPz5811133jjjfWWLyoqElFRUeKbb77xajuIiIiIyHf55GoMYWFhePfdd92OlZaWYuHChbj55psRGxuL6Oho3HDDDXjjjTfwxx9/NPpe77//PgIDA2s8p1Ao8OGHH0KhUAAAiouL8dVXX1Urt2PHDmzevBmAc3jpp59+6rqmJlqt1m3bhwULFriGg1basGEDfv/9d9fPH3zwAXr06FHv8/j7+9dbprGUSiU+/PBDyOVtY+RvSEgI3nrrrVrP33bbba7fW7vdDofDgQULFtT6jjp37owrrrjC9fO2bdu82t6qi8c0ZJGVp59+GgMHDsTNN9/s1XYQERERke/yyYAHAFOmTMHSpUsRGhpa4/ns7GwsX74cjz/+OPr27Ys+ffrgyy+/rBaU6tK3b18MHz68zjIdO3bEVVdd5fq56hYOlT777DPX95MnT0ZQUFC9905OTkanTp0AAOfOnas2h+3LL790fd+nTx9cd9119dbZ3K655hrExMS0djNcbrvtNmi12lrPK5VK9O3b1/Vzz549kZycXGedVc8fOXKk6Y2sIjEx0fV9fXPwtm3bhiVLlmD+/PlebQMRERER+TafDXgAcMsttyA9PR1vvPEG+vfvX2fZAwcOYMKECfjHP/7hWgSkPlWDW13Gjh3r+r5qr1qlLVu2uL6v2gNUn169erm+37NnT6113njjjQ2uszkNGzastZvgpr6wBgCRkZGu7xuySEnV8lUXrPGGqj14BoMBxcXFNZazWq24//778fzzzyMuLq7B9VssFnzxxRd4++23G7SIi6fliYiIiKj1tY2xdE0QEBCAxx57DI899hjy8/OxZcsW7Ny5E7t27cKOHTtQWlrqVn7VqlW4+eabsXr16nr3C6sasOrSs2dP1/f5+fkoLi6GTqcDAAghcOjQIdf5V155Be+8806D6j1w4IDr+4KCAtf3DofDbS/AgQMHNqi+5taxY8fWboKbiIiIestoNBrX9+Hh4R6Vr7pyqTf4+fkhPDwceXl5AJzDNKv2MFb617/+BaVSiUceeaTBdZeWlmLkyJHo3bs3+vbti0GDBmHLli21Duv1tDwRERERtQ0+H/CqCgsLw4033ujq0bLZbFi3bh1ee+01tw3J165diy+++AJ33nlnnfVV3Y7Bk3JFRUWugFdcXAy73e469+uvvzaozr+r2ptjMBjchpqGhYU1qk5v8+aG896gVCqbtbwnw30bKjEx0RXwMjIyqgW848eP49VXX0VaWhpkMlmD633xxRdx8OBBbN68Gd26dUNhYSFOnjxZa2Crr/y6detw22234ddff0WXLl0a+bRERERE5G0+PUSzPnK5HFdddRU2bNiA2bNnu5374IMP6r2+oX/hV6lUbj9XVFS4vq+6511TVO7B9vf6a7p/a6mvR5TqV99CK9OmTcM999yDQYMGNbhOh8OBhQsXYuDAgfDz88Ptt9+OGTNm4Oqrr250+UWLFuH8+fO1LkBERERERK2jXfXg1eXFF1/EsmXLXEMbd+zYAZvNVueKjyUlJQ2q++/lqv6lt7Inr9Lvv//u0V/Oa/L3RVpqm6vVnlTtBW3Pqga8v897W7x4MY4dO1bjQj51OXjwIAoKClw91q+++mqTy2/btg2dOnVym5NIRERERK3voulykUqlGD16tOtnq9WK8+fP13lNQxeWqFpOLpcjODjY9bO/v7/bvK3K4XdNodFo3IZDHj9+vMl1trSq20RYrdZ6y3t7QZO2qupKmlV78AoKCvDEE0/gnXfe8Xgo7I4dOwCgwf+wUF/5s2fP4vTp0/WuMEtERERELe+iCXhA9Tlide1FBwA7d+5sUL1Vy/Xs2bPa0M6qqzP+9ttvDaqzPlXrrNxjrymqDq9sjrllf1f198JgMNRb/uDBg83ZnDajth68GTNmYPjw4bj++us9rnPfvn0AgAEDBnilfOX+f21t1VQiIiIiusgCXtWVJ9VqNfR6fZ3lf/rpp2qrcP6dw+HAN9984/q5pr/0jhkzxvX9F1984ZXhhlV7I7/99lsUFhY2qb6q+8WVlZU1qa6GqLq8f0M2ov/hhx+aszltRk1z8NatW4fly5c3ePVVwDlseNSoURgxYgQWLVoElUqFadOmYcSIEXjqqac8Lv/zzz9jxIgRGDFiBB544AEAwCeffIIRI0Zg3LhxTXpmIiIiIvIenwx4P//8s9u2AQ2RkZGBn3/+2fXziBEjIJFI6rympKSk3vlKH3/8MdLT010/33XXXdXKTJ06Ff7+/gCA9PR0zJs3z4OW1+zuu+92Df00m80eLZlfk6pzqU6cONGkuhqi6r6FVQNyTb799lvs3bu3uZvUJsTHx7s+lyUlJThz5gymTZuGl156CR06dGhwPQEBAVi/fj02bNgAqVSKQYMGIS0tDWlpaXjttdc8Lj927FjXz8HBwUhKSsKmTZuQlpaGFStWeO35iYiIiKhpfDLgffHFF0hMTMSTTz6JI0eO1Fv+yJEjGDt2rFvP1H333dege82bNw9ffvlljec2btzoFqxGjRpV47yl4OBgPPvss66f58yZgxdeeKHeuWdFRUV4++23MX78+GrnQkJC3HpiPv/8c0yfPh3l5eW11mcwGPDvf/+7xnNVh+MtWrSo2RduueGGG1zf//LLL1i6dGmN5bZs2YJ77rmnWdvSlqjVarewPXXqVAQHB+PBBx9sVH0nT56EyWRCnz59vFI+OzsbJ06cwGWXXdao9hARERFR8/LZVTRLS0vx73//G//+97/Rr18/DB8+HAMHDkRERAQCAgJQWlqK48ePY/369Vi5ciVsNpvr2htvvNEtYNTm1ltvxdKlSzFhwgQsXboUt956K2JiYpCfn48VK1bgs88+c21foNVq8f7779da11NPPYWdO3fiu+++gxACzz//PD7++GPcfvvtSE5ORmhoKGw2GwoLC3Hw4EFs374dGzduhNVqRXJyco11Pvvss9i8eTM2bNgAAHjvvfewYsUK3HHHHUhOTkZISAhKS0tx7NgxbNq0CatWrYJKpcITTzxRra7bb78dr7/+OoQQ2LdvH2JiYjBgwADo9XpXj1KvXr3w0ksv1fveGmLs2LHo0aMHDh8+DACYMGEC1q5di2uvvRY6nQ5nz57FihUr8PXXX8PhcOCOO+7A559/7pV7t3WJiYnIzs4G4ByeuWvXrkZvQVE5/LWmDdMbU75yvicDHhEREVHb5JMB7+8bPO/bt8+1MER9Jk6ciIULFzao7AMPPAClUonPP/8cy5cvr3V5erVajR9//BGdO3eutS6JRIKvv/4ajz76KObPnw8AyMrKqnG4XEPJZDKsXLkSEyZMcLUtKyurziGgte2Z169fP8yePRsvv/wyAOf+fVu2bHEr482VLOVyORYvXowrrrgCpaWlsNvt+Oijj/DRRx9VK/vEE0/gmmuuuWgCXkJCAn799VcAwKOPPop+/fo1uq7KwNbQHrz6yjPgEREREbVtPjlE88MPP8RPP/2Ee++9F506daq3vEKhwLhx47B27Vp8/vnnDd7AHAA+++wzvPbaawgJCanx/PDhw7F7925cccUV9dYll8vx7rvvYsuWLbjyyiurBdWqJBIJ+vfvjxdffLHOOWp+fn747rvv8PXXX6NXr1513r9Pnz545ZVXaj3/0ksvYcOGDbjjjjvQtWtX+Pv71ztPsSkGDx6MtLS0Wldr7NChAz799FO8/vrrzdaGtqhyoZX4+Hi88MILTarrwIEDkEgk6N27t1fKb968GTExMejYsWOT2kVEREREzUMiWmJN/GaWl5eHw4cP4+TJkzAYDCgvL4dGo0FQUBC6deuGvn37uq0SWZeEhAScPn0agHOO3YgRIwAAFosFGzduRHp6OoqLixEREYGhQ4eiS5cujW53cXExtm7diqysLBQWFkIulyMoKAidOnVCnz59EBoa6nGdGRkZ+O2335Cbm4vS0lIEBAQgMTERAwcORExMTKPb2tz27duHnTt34vz58wgODkaXLl1w2WWX1RmC26svvvgC99xzD5YvX46rrrqqSXV17twZQogGL5xTV/nCwkKEhoZi/PjxbvNSc3NzERER0aR2EhEREZF3tIuA5021BTwiX1NaWorAwEDccMMN+Pbbb5tc/scff8R1112H9957z7VVwubNm5GWloY5c+Z4vf1ERERE5DmfnINHRPXbv38/hBANnn9XX/nKFWsrt7hwOBx47bXXsGjRIu80mIiIiIiazCfn4BFR/SoXHmroIi31le/atSsA54qxDocDTz/9NCZMmICwsLAmtpSIiIiIvIUBj6id2rt3L6RSaYNXvKyv/HXXXYdHH30Ud9xxB0aOHImePXtiwoQJ3mwyERERETURh2gStVN79uzBoEGDoNfrvVJeIpHgzTff9GYTiYiIiMjL2INH1I7k5uYCACoqKnDw4EFcffXVXi1PRERERG0bA97fnDp1CkIICCG4gib5lLfeeguRkZGYPXs2tm3bBiEE7r77bq+VJyIiIqK2jwGPqJ1IS0tDYGAgRo4cifnz5+PRRx9FbGys18oTERERUdvHffCI2ok9e/bgqaeegsViQY8ePfD2229DqVR6rTwRERERtX0MeERERERERO2ET6yi6XA4cO7cOQQEBEAikbR2c4iIiIiIiLxGCIGSkhJER0dDKm3aLDqfCHjnzp3j3CAiIiIiImrXsrKy0KFDhybV4RMBLyAgAIDzgQMDA1u5NURERERERN5jNBoRGxvryj1N4RMBr3JYZmBgIAMeERERERG1S96YjsZtEoiIiIiIiNoJBjwiIiIiIqJ2ggGPiIiIiIionWDAIyIiIiIiaicY8IiIiIiIiNoJBjwiIiIiIqJ2ggGPiIiIiIionWDAIyIiIiIiaicY8IiIiIiIiNoJBjwiIiIiIqJ2ggGPiIiIiIionWDAIyIiIiIiaicY8IiIiIiIiNoJBjwiIiIiIqJ2wuOAt3nzZowbNw7R0dGQSCRYvnx5g6/dtm0b5HI5+vXr5+ltiYiIiIiIqB4eBzyTyYS+ffti/vz5Hl1XVFSESZMmYdSoUZ7ekoiIiIiIiBpA7ukFY8eOxdixYz2+0bRp0zBhwgTIZDKPev2IiIiIiIioYVpkDt6iRYuQnp6OuXPnNqh8RUUFjEaj2xcRERERERHVrdkD3vHjxzFz5kx8/vnnkMsb1mE4b9486HQ611dsbGwzt5KIiIiIiMj3NWvAs9vtmDBhAl544QV06dKlwdfNmjULxcXFrq+srKxmbCUREREREVH74PEcPE+UlJRg165d2Lt3Lx588EEAgMPhgBACcrkcv/zyC6644opq16lUKqhUquZsGhERERERUbvTrAEvMDAQBw4ccDv23nvvYcOGDVi2bBkSExOb8/ZEREREREQXFY8DXmlpKU6cOOH6OSMjA/v27UNwcDDi4uIwa9YsnD17Fp9++imkUil69erldn14eDjUanW1463Banfg4NlifLr9NFRyKV69qY9H1xtMFry17hjSC0woNFlgdwhc3z8Gdw9NhFL+1+jXXGM5hv9rI8ICVFDKpZAAcP7PX/p2CMKb4/sBAM4VleHt9ceRUWCCAGC22HBZ5zBMHZ6EYK2ySc9MRERERETtl8cBb9euXRg5cqTr5xkzZgAAJk+ejMWLFyM7OxuZmZnea2EzsNgcmLJ4J1RyGTqF++P7vWdx04AOHtVhMFkw9dNdmDuuB/p0CAIArDuci/9bsgc/H8zBl/cmQ6N0vt4/c0pgsTtwtqisxrokEuDF65yBN7+kAvd+uguv3dwHPaN1AICMAhOueXsLfj6Yg2+mpSDUn8NXiYiIiIioOokQQrR2I+pjNBqh0+lQXFyMwMBAr9adVWjG8Nc24qYBHfCfW/s2+Lp/rjiMgfF6XNMnyu34yz8dxodbMnD/ZUmYdXV3AMCHm9MRG6zBiK5hUMikkEoAicTZhbfmUA52nzZg9oWyi7Zl4IUVhzGqWzg+vmuwq977Pt2FXw7n4rl/9MA9wzi0lYiIiIiovfBm3mmRffDao20nCvDUsv3YerzA7fiYnpEAgJV/ZLuOncwvxYiuYVArZJBJJa5wl2ssx2fbT+OJK7u6ynaLDESgWo5Indqt3jKrHQCgUcqa5XmIiIiIiMj3NesiK+1ZUpgWR3NLUFxmdTteOUcuv7TCdWzG6C5QK9yDmRACz3x/AM9f29Ntvl5KxxD88fwYt7IWmwOHzhmh1ygwtlektx+FiIiIiIjaCQa8Rnp3wgCcL61AeKB7T1vlPLuEEI3r2N/LAMDXv2ehb4cgdAr3r/M+dofAK6uOQCaVYMEdAxGk4SIrRERERERUMwa8RpJJJTUGt+V7zwEAbhscV+u1hSYLPticjhUPDau1zIEzxXjpp8PIL62A3SHw8eRBrsVciIiIiIiIasKA50UZBSb8sO8skhODMSklvtZyH21Jx8B4PbSq2l9/7w46fH1/CgBg/ZFc3LxgO6YMTcDMq7q55vARERERERFVxUVWvMRqd+DRr/aiV4wOH04eBLms5ldrttjwxY5MDEkKaXDdo7pH4Nq+0fjfpnT8b3O6t5pMRERERETtDAOelzz7/UEE+inwxdRkBKoVtZZbcygHxWVWJIZpPap/eOdQAMCCTSfhcLT5nS2IiIiIiKgVMOB5wZtrj6HCZsfCuwa7hl2WWew1lt1yzLmtQlgNm5U7HAJ3frwDQ15ZjxN5JW7n9BcWVykyW1Fotniz+URERERE1E4w4DXR179nIq+kAm/c2g+KKsMyn1i2v8byOzIKAQA6TfVePoPZgi3HC5BjLEfa0Xy3c0UXtmNQyaWusEdERERERFQVF1lpgF9PFiC/pALX9YtxO77xaB6O55bilRt6uS18YrU7UGGt3oPncAjkGMsBAMoa5uiF+KsQrVMjQqfGNX2i3M7tzDgPALhxQAfIpFxkhYiIiIiIqrvoA17BhQ3JDWYLhBDVVqgsLrNi0sc7YXMI6PwUGNE1HIBzG4OHluxFeKAKG47muV1TZrFjRNewavcqNFtgvzB/rqaABwAv3dALX/yWCZv9r3l2p8+b8MO+c+gZHYjZV3dr/MMSEREREVG7dtEGvKmf7MLp8yZkFJgAABv+zMPgl9ehg16D6SM7YXSPCACAv0qOwQnBOH3e5LYp+ePf7ENphQ2l+bYa608Krb6BeYBajs7h/ggPVEFaSy/cFd0iEKXzw79/OYqc4nJIJEBJuQ33DU/CvZclQa2QNfXRiYiIiIionZIIIdr8koxGoxE6nQ7FxcUIDAxs7eYQERERERF5jTfzDhdZISIiIiIiaicu2iGazcFms2H58uUAgOuvvx5yOV8vERERERG1HCYQL0pLS8Mtt9wCAFi7di1SU1NbuUVERERERHQx4RDNJhBCwGQyub6++uor17mvvvrK7ZwPTHUkIiIiIiIfx0VWmuDXX3/F0KFDG1w2JSWlmVtERERERES+houstBGffvpps5QlIiIiIiJqDAa8Jpg9ezaSkpLqLZeUlITZs2e3QIuIiIiIiOhixoDXBHFxcdi4cWOdIS8pKQlpaWmIjY1twZYREREREdHFiAGvieLi4vD666/Xev71119nuCMiIiIiohbBgOcFy5Ytq/Xct99+24ItISIiIiKiixlX0fQCiUTi+n5kvxtgs9ix5fCPrmM+8IqJiIiIiKiVeDPvcKNzLzh16hTuvPNOPP3kLJz6SQVIgDGjr8Yve5fgs88+a+3mERERERHRRYJDNL0gPj4emzdvxoAelwIAojrqkBTcD5s2bUJcXFwrt46IiIiIiC4WDHheZMg2QSIBEvuEoSjXDIfd0dpNIiIiIiKiiwgDnhcV5pgQEOqH0Dh/OOwCxfllrd0kIiIiIiK6iDDgeZEh24zgSA2CI7XOn3PMrdwiIiIiIiK6mDDgeZEhxwR9pBYanRJKtQyGHFNrN4mIiIiIiC4iDHheYrXYUVJYDn2UBhKJBPooLQzZ7MEjIiIiIqKWw4DnJUU5ZkAA+gvDM/WRGvbgERERERFRi/I44G3evBnjxo1DdHQ0JBIJli9fXmf57777DqNHj0ZYWBgCAwORkpKCNWvWNLa9bVZlmNNHaV2/GnLM3OSciIiIiIhajMcBz2QyoW/fvpg/f36Dym/evBmjR4/GqlWrsHv3bowcORLjxo3D3r17PW5sW2bIMUOrU0Ll59w7PjhSC2uFHaWGilZuGRERERERXSzknl4wduxYjB07tsHl33rrLbefX3nlFfzwww9YsWIF+vfv7+nt2yxDtsnVewcA+iiN83iOCQHB6tZqFhERERERXURafA6ew+FASUkJgoODay1TUVEBo9Ho9tXWFeaYXfPvACAgxA8yuZQLrRARERERUYtp8YD373//G6Wlpbj11ltrLTNv3jzodDrXV2xsbAu20HMOuwPFeWboIzWuY1KpBEERXGiFiIiIiIhaTosGvCVLluCFF17A0qVLER4eXmu5WbNmobi42PWVlZXVgq30XHF+GRx24TZEE3AO0+Rm50RERERE1FI8noPXWF999RWmTp2Kb775BqmpqXWWValUUKlULdSypqsMcVV78Jw/a3H2qKE1mkRERERERBehFunB+/LLLzFlyhR8+eWXuOaaa1rili2qMNsElUYOTaDS7bg+UoOyEivKSi2t1DIiIiIiIrqYeNyDV1paihMnTrh+zsjIwL59+xAcHIy4uDjMmjULZ8+exaeffgrAOSxz8uTJ+O9//4vk5GTk5OQAAPz8/KDT6bz0GK3LkGOCPlIDiUTidjz4wpBNQ7YZfp2VNV1KRERERETkNR734O3atQv9+/d3bXEwY8YM9O/fH3PmzAEAZGdnIzMz01X+gw8+gM1mw/Tp0xEVFeX6euSRR7z0CK3PkO2+gmaloHANJBJwoRUiIiIiImoRHvfgjRgxAkKIWs8vXrzY7ee0tDRPb+FThEPAkGtG50ER1c7JFFIEhvpxqwQiIiIiImoRLb5NQntTWlQBW4XdtbH53+mjtOzBIyIiIiKiFsGA10SGbGd4q2mIJgAER2lQyIBHREREREQtgAGviQw5ZsgVUgSEqGs8r4/UorSwApZyWwu3jIiIiIiILjYMeE1UmGNCUKQGUqmkxvOVPXtFuZyHR0REREREzYsBr4kM2aZah2cCf21+XrkZOhERERERUXNhwGsiQ47ZFeJqovSTQxukcs3VIyIiIiIiai4MeE1QVmpBeam1zh48wNmLxx48IiIiIiJqbgx4TVC5v11tWyRU4lYJRERERETUEhjwmsCQY4JEKkFQeN0BLzhSg6K8MthtjhZqGRERERERXYwY8JqgMNsEXZgfZPK6X6M+UgvhECjOK2uhlhERERER0cWIAa8J6ltgpZI+SnuhPIdpEhERERFR82HAa4L6tkio5BeggEojZ8AjIiIiIqJmxYDXSJZyG0oNFfUusAIAEokE+kgtCrO5kiYRERERETUfBrxGKsq9sIJmA3rwACA4SsMePCIiIiIialYMeI1UuXF5Q+bgAc55eEU5ZgiHaM5mERERERHRRYwBr5EKc8zw16ugVMsbVF4fqYXN6kBJYXkzt4yIiIiIiC5WDHiNZMg2uVbHbIjKnj5DDufhERERERFR82DAa6SGbpFQKSBYDblSynl4RERERETUbBjwGsFuc6A4v6zBC6wAgEQqQVCExjV3j4iIiIiIyNsY8BqhOK8MwiEQ3IAtEqrSR2o5RJOIiIiIiJoNA14jVA6z9KQHD3BulVCYbYIQXEmTiIiIiIi8jwGvEQw5Jqi1CvgFKD26Th+pRYXZhrISazO1jIiIiIiILmYMeI1QmG2G3sPhmcBfPX6ch0dERERERM2BAa8RDDkmj4dnAoAu3A8SqYQraRIRERERUbNgwPOQcAgUebhFQiWZXApdmB8KudAKERERERE1AwY8D5UUlsNmdXi0yXlV+khulUBERERERM2DAc9DhdmVK2h63oMHAMFR3CqBiIiIiIiaBwOehww5ZsiVUgTo1Y26Xh+lhamoApYym5dbRkREREREFzsGPA9VLrAikUoadX1lzx978YiIiIiIyNsY8DxkaOQWCZVcWyVwJU0iIiIiIvIyBjwPCCEavUVCJYVKBv9gFQMeERERERF5nccBb/PmzRg3bhyio6MhkUiwfPnyeq9JS0vDgAEDoFKp0KlTJyxevLgRTW19ZSVWVJhtCG5CwAOA4EgtCrM5RJOIiIiIiLzL44BnMpnQt29fzJ8/v0HlMzIycM0112DkyJHYt28fHn30UUydOhVr1qzxuLGtrXJ7g6YM0QScwzTZg0dERERERN4m9/SCsWPHYuzYsQ0uv2DBAiQmJuI///kPAKB79+7YunUr3nzzTYwZM8bT27cqQ44JUqkEgWF+TapHH6XBHxvLYLc6IFNwlCwREREREXlHs6eL7du3IzU11e3YmDFjsH379ua+tdcVZpuhC/eDTNa016aP1EIIoCiPwzSJiIiIiMh7PO7B81ROTg4iIiLcjkVERMBoNKKsrAx+ftV7wyoqKlBRUeH62Wg0NnczG8SQY4I+qmnz74C/hngWZpsQEuPf5PqIiIiIiIiANrqK5rx586DT6VxfsbGxrd0kAM45eJX72DWFn78San8F98IjIiIiIiKvavaAFxkZidzcXLdjubm5CAwMrLH3DgBmzZqF4uJi11dWVlZzN7NeFWU2mIotTdoioSp9pIYLrRARERERkVc1+xDNlJQUrFq1yu3Y2rVrkZKSUus1KpUKKpWquZvmkcowFuyFIZqV9eSkt42hp0RERERE1D543INXWlqKffv2Yd++fQCc2yDs27cPmZmZAJy9b5MmTXKVnzZtGtLT0/HUU0/hzz//xHvvvYelS5fiscce884TtBDDhX3rgiKaPkQTcC60UpRrhsMhvFIfERERERGRxwFv165d6N+/P/r37w8AmDFjBvr37485c+YAALKzs11hDwASExPx008/Ye3atejbty/+85//4KOPPvLJLRICgtVQqGReqU8fpYHd5kDJ+TKv1EdEREREROTxEM0RI0ZAiNp7nRYvXlzjNXv37vX0Vm2KIcfslRU0K1XO5TNkm6EL806vIBERERERXdza5CqabZEh2+Ta3sAb/PUqKFQyFHKhFSIiIiIi8hIGvAawWe0wFpQh2EsraAKARCK5sJImt0ogIiIiIiLvYMBrgOK8MggBr+yBV5U+UgtDNnvwiIiIiIjIOxjwGqDwQgjz5hw8Z33OHry65jQSERERERE1FANeAxhyzPALUECtVXi1Xn2kFpYyG8xGi1frJSIiIiKiixMDXgMYsk2uVS+9qXLIZyGHaRIRERERkRcw4DWAIcfk9eGZAKAL84NUJnFtok5ERERERNQUDHj1cDgEinLLvL7ACgBIZVLowjUwcKsEIiIiIiLyAga8ehgLymC3Oby6RUJVwVEMeERERERE5B0MePWo3KfOm5ucV+XcKoFDNImIiIiIqOkY8OphyDZBoZZBG6Rqlvr1URqYjRZUmK3NUj8REREREV08GPDqYcgxQR+hgUQiaZb6K1fnrOwpJCIiIiIiaiwGvHoYcswIboYVNCvpIzSAhFslEBERERFR0zHg1UEI4dwDrxkDnlwpQ2CImj14RERERETUZAx4dTAXW2AptzfLFglV6SO1XEmTiIiIiIiajAGvDoUXQpe+mbZIqKSP1MDAIZpERERERNREDHh1MGSbIZVLEBiqbtb76KO0MJ4vh81ib9b7EBERERFR+8aAVwdDjglB4RpIZc37mvSRWkAAhlzOwyMiIiIiosZjwKuDIdvU7MMzAbjm+HEeHhERERERNQUDXh0Kc8zQRzXvAisAoNYq4BeohCGbPXhERERERNR4DHi1KDdZUWa0ILgFevAAIDhSwx48IiIiIiJqEga8WlTuS9cSPXjO+2i5Fx4RERERETUJA14tDDkmQAIEhbdQwIvUoijXDIfd0SL3IyIiIiKi9ocBrxaGbBMCQ9SQK2Utcj99lAYOu4CxoLxF7kdERERERO0PA14tDDlm6KNaZv4dANdcv0JueE5ERERERI3EgFcLQ46pxRZYAQCNTgmlWsaFVoiIiIiIqNEY8Gpgs9hhPF/eYgusAIBEIuFCK0RERERE1CQMeDUw5JoBgRbZ5LwqfaQGBg7RJCIiIiKiRmLAq0HlMMmWnIMHOAOlIdcMIUSL3peIiIiIiNoHBrwaGLLN0OiUUPnJW/S++igtrOV2mIoqWvS+RERERETUPjDg1cCQY2rx4ZmAc4gmwJU0iYiIiIiocRjwalCYbUZwZMstsFIpMNQPMrkUhmwutEJERERERJ5rVMCbP38+EhISoFarkZycjJ07d9ZZ/q233kLXrl3h5+eH2NhYPPbYYygvb5sbejvsDhTnteweeJWkUgmCIvy4VQIRERERETWKxwHv66+/xowZMzB37lzs2bMHffv2xZgxY5CXl1dj+SVLlmDmzJmYO3cujhw5go8//hhff/01Zs+e3eTGN4fi/DI47MI1XLKlcasEIiIiIiJqLI8D3htvvIF7770XU6ZMQY8ePbBgwQJoNBosXLiwxvK//vorhg4digkTJiAhIQFXXnklbr/99np7/VpLZbhqjR484MJKmuzBIyIiIiKiRvAo4FksFuzevRupqal/VSCVIjU1Fdu3b6/xmksvvRS7d+92Bbr09HSsWrUKV199da33qaiogNFodPtqKYYcE5R+cmgClS12z6r0kRqUlVhRXmptlfsTEREREZHv8mgfgIKCAtjtdkRERLgdj4iIwJ9//lnjNRMmTEBBQQGGDRsGIQRsNhumTZtW5xDNefPm4YUXXvCkaV5jyDZDH6mBRCJplfsHX+g5LMwxIbpTUKu0gYiIiIiIfFOzr6KZlpaGV155Be+99x727NmD7777Dj/99BNefPHFWq+ZNWsWiouLXV9ZWVnN3UwXQ46p1YZnAkBQuAYSCWDgVglEREREROQhj3rwQkNDIZPJkJub63Y8NzcXkZGRNV7z3HPP4c4778TUqVMBAL1794bJZMJ9992HZ555BlJp9YypUqmgUqk8aZpXCCFgyDGj08CI+gs3E5lCisBQPy60QkREREREHvOoB0+pVGLgwIFYv36965jD4cD69euRkpJS4zVms7laiJPJZACcgaotKTVUwFphhz6qdVbQrORcSZM9eERERERE5BmPevAAYMaMGZg8eTIGDRqESy65BG+99RZMJhOmTJkCAJg0aRJiYmIwb948AMC4cePwxhtvoH///khOTsaJEyfw3HPPYdy4ca6g11ZUhip9ZOsN0XTeX4MTu2redoKIiIiIiKg2Hge88ePHIz8/H3PmzEFOTg769euH1atXuxZeyczMdOuxe/bZZyGRSPDss8/i7NmzCAsLw7hx4/Dyyy977ym8xJBthkwhRUCIulXboY/UoqSwHNYKOxSqthWCiYiIiIio7ZKItjZOsgZGoxE6nQ7FxcUIDAxstvukffEncjKMuO3ZS5rtHg2Rk1GMb/+1G7fOHoywuIBWbQsRERERETUvb+adZl9F05cYcswIjmzd+XfAX0NEC7mSJhEREREReYABr4rC7NbdIqGSyk8OrU7JrRKIiIiIiMgjDHgXlJVaUF5qbfUFVio5V9LkVglERERERNRwDHgXGLKdYUrfBoZoAtwqgYiIiIiIPMeAd4EhxwSJBAgKbxsBLzhSg+K8MtjtjtZuChERERER+QgGvAsM2WYEhvlBpmgbr0QfqYXDIVCcV9baTSEiIiIiIh/RNtJMG2DIMbWZ+XcAXIu9cJgmERERERE1FAPeBYU5JgRHtY3hmQDgF6CASiN3zQ0kIiIiIiKqDwMeAEu5DaWFFW1ii4RKEokE+kgutEJERERERA3HgAegKLdyBc22E/AAQB+l4VYJRERERETUYAx4gCtEtZUtEipV9uAJh2jtphARERERkQ9gwANgyDbBX6+CUi1v7aa40UdqYLM4UGIob+2mEBERERGRD2DAg7MHr6313gFAsGslTQ7TJCIiIiKi+jHgoe1tkVApIFgNuUIKQzYXWiEiIiIiovpd9AHPbnOgKK+sTa2gWUkilSAoUsOAR0REREREDXLRB7zivDIIh2iTQzSByoVWOESTiIiIiIjqd9EHvMp95triEE0ACI7SoDDHBCG4kiYREREREdWNAS/HBJVWDr8ARWs3pUb6SC0qTDaUlVhbuylERERERNTGXfQBrzDbjOBILSQSSWs3pUaVPYuVPY1ERERERES1uegDnnMFzbY5/w4AdOF+kEglnIdHRERERET1uqgDnnAIFOWY2+QKmpVkcil0YX5cSZOIiIiIiOp1UQe8ksJy2KyONh3wAEAfqeEQTSIiIiIiqtdFHfAqhz225SGaAKCP4lYJRERERERUv4s84JkgV0oRoFe3dlPqFBypQamhApZyW2s3hYiIiIiI2rCLO+Blm6CP1EIibZsraFaqHELKXjwiIiIiIqrLxR3wcsxtfngmAARFONvIhVaIiIiIiKguF23AE0Kg8EIPXlunVMvhr1dxoRUiIiIiIqrTRRvwykqsqDDboI9q+z14ABAcpUVhNodoEhERERFR7S7agFc53NEXevAAZzvZg0dERERERHW5eANejglSqQS6cL/WbkqD6KM0MOaXwW51tHZTiIiIiIiojbpoA15hjhm6cD/IZL7xCvSRWggBFOVxmCYREREREdXMN9JNMzD4yAIrlSrnCnKrBCIiIiIiqk2jAt78+fORkJAAtVqN5ORk7Ny5s87yRUVFmD59OqKioqBSqdClSxesWrWqUQ32Fl/ZIqGSn78San8F5+EREREREVGt5J5e8PXXX2PGjBlYsGABkpOT8dZbb2HMmDE4evQowsPDq5W3WCwYPXo0wsPDsWzZMsTExOD06dMICgryRvsbxVJmg6mowrWBuK/QR2q4Fx4REREREdXK44D3xhtv4N5778WUKVMAAAsWLMBPP/2EhQsXYubMmdXKL1y4EIWFhfj111+hUCgAAAkJCU1rdRNVDnMM9rWAF6VFboaxtZtBRERERERtlEdDNC0WC3bv3o3U1NS/KpBKkZqaiu3bt9d4zY8//oiUlBRMnz4dERER6NWrF1555RXY7fZa71NRUQGj0ej25U2VwxyDInxniCYABEdqUZRrhsMhWrspRERERETUBnkU8AoKCmC32xEREeF2PCIiAjk5OTVek56ejmXLlsFut2PVqlV47rnn8J///AcvvfRSrfeZN28edDqd6ys2NtaTZtbLkGNCQLAaCpXMq/U2N32kBnarAyXny1u7KURERERE1AY1+yqaDocD4eHh+OCDDzBw4ECMHz8ezzzzDBYsWFDrNbNmzUJxcbHrKysry6ttKsw2u1al9CWVcwa50AoREREREdXEozl4oaGhkMlkyM3NdTuem5uLyMjIGq+JioqCQqGATPZXb1n37t2Rk5MDi8UCpVJZ7RqVSgWVSuVJ0zxiyDEhoXdos9XfXPz1KshVMhRm+2b7iYiIiIioeXnUg6dUKjFw4ECsX7/edczhcGD9+vVISUmp8ZqhQ4fixIkTcDgcrmPHjh1DVFRUjeGuudmsdhjzy3xqi4RKEokE+ggN98IjIiIiIqIaeTxEc8aMGfjwww/xySef4MiRI3jggQdgMplcq2pOmjQJs2bNcpV/4IEHUFhYiEceeQTHjh3DTz/9hFdeeQXTp0/33lN4oDivDELA57ZIqBQcpeVWCUREREREVCOPt0kYP3488vPzMWfOHOTk5KBfv35YvXq1a+GVzMxMSKV/5cbY2FisWbMGjz32GPr06YOYmBg88sgjePrpp733FB4ovBCOgiN9M+DpozTI+KMAQghIJJLWbg4REREREbUhHgc8AHjwwQfx4IMP1nguLS2t2rGUlBT89ttvjbmV1xlyzPALUEDtr2jtpjSKPlILS5kNZqMFWl3zzVMkIiIiIiLf0+yraLY1hhwT9D7aewfANXeQwzSJiIiIiOjvLr6Al232yQVWKunC/CCVSbjQChERERERVXNRBTyHQ6Ao1+zTPXhSmRS6cA178IiIiIiIqJqLKuCVnC+D3ebwyU3OqwqO1KCQPXhERERERPQ3F1XAM2Q7Q1Gwj26RUEkfpYUhhz14RERERETk7qIKeIU5JijUMmiDfHv1SX2kBuZiCyrKbK3dFCIiIiIiakMuqoBnyDFDH6Hx+f3jKucQch4eERERERFV1ah98HyVIdsEvY8PzwSAoEgNIHFu+RCZpGvt5lTnsANb3gAOfQ/4BQGWUqDTaOCyJwGFuvF1LrwKGP1PID7F/Zy5EEibBxQcB8znnWX73AoM+T9Armx8vUREREREPuaiCXhCCBhyzEjsG9raTWkyhVKGgGA1CrPb6EIrq54Ajq4G7l0PBEYD5UZg8dVA9n5g4jdAY3pQt74BnNkJOP42LNVcCHx5G3DVq0DMAOexoz8DSycDR34EJq8AlHWE+trqJSIiIiLyQRfNEE1zsQWWMptPb5FQVXBbXWgl8zdg10Jg2KPOcAcA6kBgxGzgxFrg4Lee15n9B7Dns5rPbX4dGPLAX+EOALqOBS65Fzi7G0h7tXH1EhERERH5oIsm4BVeCEO+voJmJX1kG90Lb+/nzl+7/cP9eOfRgEwF7PnUs/psFmDza8ClD9V8Pj0N+OFB4ORG9+Pdxzl/PbS8cfUSEREREfmgiybgGbLNkMolCAxt5BywNkYfpYXxfDlsFntrN8Xd6W2AMgDQxbgflymAkI5A1k7nvLeG2vQqcOnDgKKWvQtDOjnn+JUXuR/XXBiKW5rbuHqJiIiIiHzQxRPwckwICtdAKmsfj6yP1AICKMprQ/Pw7DbAcBpQ+dd8XukP2MqA0ryG1Ze5A5BIgdhLai9zy2Lg8aNAzxvcjxdnOn8NTmpcvUREREREPqh9pJ0GMOSYoI9sP701lc9iaEsLrZQXA8LuDHI1qQx+ZYb667KYge3vApc9VXc5qQwIiKx+/I9vnL8OnNy4eomIiIiIfNDFE/Cyze1mgRUAUGsV8AtUuuYWtgm2cuev8lqGwUoVzl8rjPXXteEl4PKn69/moCbnTwIHlgLxw4DB93qvXiIiIiKiNu6iCHgVZivMRgv0Ue2nBw8AgiM1basHT13PnnyWC2FUrqq73MkNgH8YENnL8zbYrcC3U4GofsDtSwBZlZ1AmlIvEREREZEPuCgCniHHGYLaUw8e4HyeNrVVgsrfuWiJcNR83lLi/FUdVHsd5cXOlTYvfbhxbVj5mDNoTvrBPXA2tV4iIiIiIh9wUWx0XphtAiSAPqJ99eDpozQ4/Os5OOyOtrN4TFB89RUtK5kLnVslBMXVfn36JqAwA/jkWvfjxrPOX1fPcga3S+4Fel7vXmbjPMBW4dxMXfb/7d13eFRl+vDx78wkk957LxAIgRAgoTcRpIggFsQOWNYCqy6/dVfdV3HXdbGsrq6LgIpdRAVFQekSek0IJLRQ0kjvZSbJtPP+MSYYSGeSmUmez3XNtebMmXPunA0zc5/nee77t+mgGjUoHa/vuIIgCIIgCIJgJXpFgldeoMbVyx4bpcLcoZiUh78TBp1EVUkd7paSvEZNgQPvGQupOHhc2V5bAZU5ED7eWBilJTGzjY+r7VpmbG0wfRlEjL/2+eTPoaYAblsF8t8luz8+aay02dnjCoIgCIIgCIIVsZBhn65VXqDCo4c0OP+9himnFjVNs6HB+emfmm4/vcH4v3F3N92esQdS113fOc9vh+JzcMs7TZM7vRa0ddd3bEEQBEEQBEGwIr1jBC9fReRQX3OHYXJO7kps7RWUF6iJiDN3NL8JHQX9b4bE16DPJON0zJpi2Pcf4+jdkPuu7FtbAV/cBgadcV1e1JSWj6su/e01ZU235x2H7xYaWyWkb236nFYNfVs5ZmvHFQRBEARBEAQr1OMTPJ1GT1VpXY/qgddAJpPhGeBkXGNoSeZ+CrtfhzXzwM4V1CXGRGvyUpDJruxn5wKho41r43z6NX+sX1+F1O+gPMP48/pHYNe/YPJLED0TfnjCWLyltLr513tHde64giAIgiAIgmCFZJIkSeYOoi1VVVW4ublRWVmJq6trh15bnFPNt68e5Y6/xOMf2UYZfyu087PTlOWpmPv8cHOHIgiCIAiCIAhCJ1xPvnO1Hr8Gr2F9Wk8cwYPfWiUUqrGCPF0QBEEQBEEQhC7W8xO8fDWOrkrsHG3NHUqX8AhwQlunR1VRb+5QupROp2PdunWsW7cOnU5n7nAEQRAEQRAEwSL1/ASvQIVHQM8cvYMrI5Pl+WozR9K1EhMTmTt3LnPnziUxMdHc4QiCIAiCIAiCReoFCZ66sZ1AT+Tq7YDCRk6ZJbVKMAFJklCpVI2PtWvXNj63du3aJs+J6amCIAiCIAiCYNSjEzyD3kBFYc9O8ORyGe5+DpQX9KwRvIMHD+Ls7Nz4WL16deNzq1evbvLcoUOHzBipIAiCIAiCIFiOHp3gVZXUYdBLPXqKJvxWaMXSWiVcp88//7xL9hUEQRAEQRCEnqxHJ3gN/eE8e/AIHhjX4ZX3sCmaL7zwApGRkW3uFxkZyQsvvNANEQmCIAiCIAiC5evRCV55gQqlgw2Obkpzh9KlPAKcqK3WUqfSmjsUkwkNDWXXrl2tJnmRkZEkJiYSEhLSjZEJgiAIgiAIguXqVIK3fPlywsPDsbe3Z+TIkRw5cqRdr1u7di0ymYw5c+Z05rQdZiyw4ohMJuuW85lLwxrDnjZNMzQ0lDfffLPF5998802R3AmCIAiCIAjC73Q4wfvmm29YsmQJS5cuJTk5mbi4OKZNm0ZRUVGrr8vMzOTPf/4z48eP73SwHVWer8IjoGdPzwRw93NAJqPHFVoBWLduXYvPrV+/vhsjEQRBEARBEATL1+EE7+233+bRRx9l4cKFxMTEsHLlShwdHfn4449bfI1er+e+++7j73//e7vWVZmCJEmUF6ob+8T1ZDa2Cly8HRrXHPYkX3/9deN/Tx89l8cff7zx5zVr1pgjJEEQBEEQBEGwWB1K8DQaDUlJSUyZMuXKAeRypkyZwsGDwl6tAgAAbhBJREFUB1t83T/+8Q98fX15+OGHOx9pB6kq6tHW6Xt8gZUGngFOPa7QChhHfkfEj2bRzNdZ9eEKVqxYwUfvfk3fgMEkHzxl7vAEQRAEQRAEwaLYdGTnkpIS9Ho9fn5+Tbb7+flx9uzZZl+zb98+Vq9eTUpKSrvPU19fT319fePPVVVVHQkTuFJBs6e3SGjg4e/IhWOtT5O1RmFhYTx3z//Q1usJifEEYOGiu1AWhVJ40gCjzBygIAiCIAiCIFiQLq2iWV1dzQMPPMCHH36It7d3u1+3bNky3NzcGh+dKaRRnq9GYSPHxcuhw6+1Rh7+TlSX1aGt15s7FJPKu1BB3vkKEmaENxbLkSvkDJsWxsXjRT1y1FIQBEEQBEEQOqtDCZ63tzcKhYLCwsIm2wsLC/H3979m/4sXL5KZmcmsWbOwsbHBxsaGzz//nJ9++gkbGxsuXrzY7Hmef/55KisrGx85OTkdCRMwtkhw93NELu/ZFTQbNIxUVhT2rEIrSZsz8Qx0IiKu6Q2C6FEBOLnZkbQly0yRCYIgCIIgCILl6VCCp1QqiY+PZ+fOnY3bDAYDO3fuZPTo0dfsHx0dTWpqKikpKY2P2bNnM2nSJFJSUlocmbOzs8PV1bXJo6PKC9S9ZnomXGmV0JMKrRRlVZF9qoz46WHIrkrUFbZyht4USvqRQqpKas0UoSAIgiAIgiBYlg6twQNYsmQJ8+fPJyEhgREjRvDOO++gUqlYuHAhAA8++CBBQUEsW7YMe3t7Bg0a1OT17u7uANdsN7XyAhVB/T269ByWxM7BBic3ZY+aspi0JQtXHwf6xvs2+3zM+ECStmSSvC2bG+7t383RCYIgCIIgCILl6XCCN2/ePIqLi3nppZcoKChgyJAhbNmypbHwSnZ2NnJ5ly7ta1NdjZbaam2vaJHwex4BTj2mF15pXg2Xjhcz6f5o5Irm/55slQriJodwZFMGCTPCcfaw6+YoBUEQBEEQBMGydDjBA1i8eDGLFy9u9rnExMRWX/vpp5925pQdUvbbKJZnL2hy/nse/k5cPltm7jBMInlLFs4edvQfde3azt+LnRjM8W3ZpOzIZtzcqG6KThAEQRAEQRAsk3mH2rpIeb4KmQzcfXvZCJ6/I5VFtej1BnOHcl0qi9WcP1rI0KmhKGxa/xNVOtgQe0Mwp/bmUluj6aYIe5evznzFnst7qNUZ1zrqDXoulF9gecpyVFpVp/cVBEEQBEEQTK9TI3iWrrxAjauPAwrbHpm/tsgjwAmDQaKquLax6Io1St6ajb2zLTFjA9u1f9yNIaTszOHEzhxG3dqni6MzP71Bz0epH7E1ayuuSlfUWjXjgsbxWNxj2CnaN021oq6C90+8T2ZlJhX1FegkHbdE3sIDAx7AVmHbZN8dWTs4VngMABelC2qtGoNk4OlhT+Nk69TpfQVBEARBEATT66EJnsqqE5zOalhzWJ6vttrfv7qsjrMH8xk5OxIbpaJdr7F3tmXQ+EBSd11m6E2h2Dnatv0iK/avw/8i8XIia25eg5+THzWaGhZuXciZsjO8P/n9xn6BLamoq+CPv/6R50Y8x0DvgQAk5iTyf4n/x46sHXw09SMcbZuOfoe7hpNbk4tCpmBC8AQWDFzAML9hzR6/I/sKgiAIgiAIptUzE7x8NVHDm6+82JM5uiqxc7ShrEBFJD7mDqdTUrZnY2unYNCEoA69bshNoaQm5pKamEvCzeFdE5wFOF50nG/Tv+W5Ec/h52QsbOSsdObJuCd5atdTbMncwoyIGa0eY9XJVdwfc39jcgdwQ8gN3BN9D5+d/oyVJ1ayJGFJk9dsvG1ju2PsyL6CIAiCIAiCafW4OYzaej3VZXVWO4J1PWQyGR7+TpRbaS88dZWG0/vyGDwpGKVDx+49OLnZMWBsACd25qCt13dRhOa34cIGACaHTm6yfVzwOJRyJevPr2/zGIfyD/HS/pc4mHewyfbJYcZjbs3cappgBUEQBEEQhG7X4xK8ikJjm4DemOABeAQ4Wm2rhBM7c5DJZQy+MaRTrx86NRRNrY5Te3NNHJnlOFZwDCdbJ/ydmlYXtZXbEuoayomiE+gNrSe4EW4RqHVqqjRVTbZ72Bn7RpbUlpg2aEEQBEEQBKHb9LgpmmW/jV71th54DTz8nTh/tBDJICGTt74Wy5LUqbSk7r7MoIlB2Dt1bg2dq5cD/Ub6cXx7NoMmBmFj2741fNZCZ9CRW5OLl71Xs8872TpRp6+jtK4UX8eWpyi/OeFNyurK8HFsOo03T5UHQKhr6DWvuVB+gbeT3qZKU0W9vp4xgWN4Iu4J7G3sr2tfQRAEQRAEwbR6XIJXnq/Cyd2uw1P8egoPf0d0GgPV5XW4ejmYO5x2S028jEEvMWTKtclFR8RPD+fsoQLOHizo8Do+S1etqUYv6a8pgNKgoUplZX1lqwmeQq64JrkD+PnSzwDcEXXHNc99cuoTlo1fhpudG9WaauZvmU9aSRof3PQBCrmi0/sKgiAIgiAIptXjpmiWF6h77egdXGnubk3TNDV1Ok78mkPM2EAcXZXXdSx3P0f6xvuSvDXL6vsBXq1eXw/QYisEG7nxpkaNtqbDx86qyuKXS7+Q4JfA3dF3N3luXv95vDzmZdzs3ABj+4M/DP4DRwqOXLPmryP7CoIgCIIgCKbXAxM8FR4BvXP9HYCLpz02tnKrKrSSticXbZ2eoVOvb/SuQfz0cKpL6zh/pNAkx7MUrkrXVp9Xa41JvVLRsSRZa9Dy3J7niPGK4b83/rcxUWwwPWI6tvKm02b7efQD4KeLP3V6X0EQBEEQBMH0elSCp9cbqCyqxbMXj+DJ5DLc/a2n0IpOoydlRw79R/nj4mmaNVrewc6ED/YmaUsWBoNkkmNaAkdbRxxsHDDQ/MikSmtM6ttKBK/2z0P/xEXpwodTP8RF6dLkOa1BS2lt6TWvaRhFPF9+vlP7CoIgCIIgCF2jRyV4lUW1GAxSr62g2cDD34nyAusYwTtzIJ+6ag3DpoWZ9LgJM8KpKFRz6XixSY9rbkHOQVTVVzX7XEV9BUq5kkCnwHYf7/2U96nX17N8yvLGtX21utrG5/+4849M/m4yKUUpTV7XMFr4+9G+juwrCIIgCIIgdI0eleA1JDW9eYomGAutlOdb/gieXmcgeVsWfRP8cPc17airX4QrwdEeHNuciST1nFG8cUHjKFQXUllf2WR7laaKfFU+cb5x7S5k8v357ymuLeZf4/7VZFrli/tfbPzvsroynJXOjQVcGhSpiwCI8Yrp1L6CIAiCIAhC1+hZCV6+GjtHGxxcOldmv6fw8HeiTqWltlpj7lBade5wATVl9cRPN+3oXYOEGeGUXq4hK/XaaYPW6sbQGwHYkbWjyfZtmdsAmBU5q8n2I/lH+OXSL9ccZ+/lvVysuMhLo15CLrvyNqA1aKnX1Tf+PCpgFG9PfJsoj6gmr9+Xuw+AB2Ie6NS+giAIgiAIQtfoUXOmygtUeAY4IZNZT/+3ruARYBwNKy9Q4eByfVUpu4rBIJG8NYuIOG+8gpy75ByB/dwJ6OPGsc2ZhMV69Yi/i6G+Q7kh5AbeP/E+owNHE+gcSGltKatTVzPcfzhz+s5p3LdKU8Vj2x9DJ+lwtXNlXNA4AE6VnuLZPc/i4+DDnst7mhy/VlfbuB/Aw7EPs2jnIp6WPc1w/+GAcS3dhgsbeHjQw0wIntCpfQVBEARBEISu0cMSPDU+IV2TLFgTd19HZHIZZflqAqM8zB1Osy4mFVFZVMvUhwd22TlkMhnxM8LZ9L8TXD5XTki0Z5edqzu9NfEtVp5YyaKdi3BRulBeV87YoLE8M+yZJkmsk40Tw/yGkV2dTaRbZOP2/7fv/6HSqhqLslwtwi2i8b/d7Nx4Z9I7vJP0Du+nvI9cJkdC4p9j/8nksMlNXteRfQVBEARBEISuIZOsYIFSVVUVbm5uVFZW4urafIVAySDxwTO7GTk78rqbZfcEXy09ROhAT8bf1c/coVxDMkis/ecRnN3tmPXUkK49lyTx3bJjKB0UzPnTsC49lyAIgiAIgiB0RnvynfbqMSN41eV16DSGXl9Bs4Gx0IplVtLMOFlCWZ6Kiff07/JzGUfxwtiyKo2CS5X4R7p1+TkF6yXp9ZR+8AFVm7egcHXFoFbjNGE83k88gdyu+QbzzR5Hq6Xu9GnKvvoKuZ0dAa+80vx+Oh1ln31GTeJukMkw1NXhNHo0Xo8+isK56XuZrryckv8tR5ORga6iHHR63GbPwvPBB5EpLXMqtiAIgiAI3a/HJHgNfd88enEPvN/zCHAi/XCBucO4hiRJJG3OJKCvG4FR7t1yzsg4HzwCnDi2OZNbFsV1yzkF61TwyivU7Eok/NtvsPXzQ19TQ9YDD1J3+jQhq1a1uY5T0mjIfuwx5Eo7lH36UPXTRtzmzGlx/9w/P4vT6NGEfv4ZMpkMSaej6D//IXv+fMK/XtOYuOnKy7n85CL8XngBh9hBAFT/uovcZ56hatt2wj79BLmjeO8TBEEQBKEHVdEsz1dho5SbrFm2tfP0d6SmvB5Nnc7coTRx+Uw5RVnVJMwI77ZzyuQy4qeHkZVaSnF2dbed15rodDrWrVvHunXr0Oks62+mu6iTk6lY+w1ejzyCrZ8fAApnZ3z+uBjVnr1U/XJtNdKryZRKwj75hJBVK/G4995W91UdOoxBpcJj3l2NiaPMxga/Z59F0mqp2rqtcd/SlSvxnP9gY3IH4HLjJDzuu4+6kycpXr68M7+yIAiCIAg9UI9K8Nz9jMVFhCu9ABtGNi3Fsc2Z+Ia5EBLTvQVPohJ8cfW2J2lLZree11okJiYyd+5c5s6dS2JiornDMYuK778HwOWmKU22O48fj0yppGLdOpOery4tFam2ttnnlBER6AqvjMCrDhwk/4W/oTpwoMl+DbFWb95i0tgEQRAEQbBePSfBK1CL9Xe/4+53pVWCpci7UEHe+QriZ4R3e8sCuULOsGlhXDxeTJmFrk3sTpIkoVKpGh9r165tfG7t2rVNnrOCOkwmoT56FLmTE7b+/k22y2xtUYaFUXs8BUmvN9n5bHx8UB87RtFbbyNptY3bDfX11J44geOo0Y3blBERGNRq9FVVTY6h8DBWydWVlJgsLkEQBEEQrFuPSPAkSaKsQIVngFiD0kBpb4Ozhx3l+ZYzgpe0ORPPQCciBnub5fzRowJwcrMjeUuWWc5vSQ4ePIizs3PjY/Xq1Y3PrV69uslzhw4dMmOk3UPS6dBezkXu1PxNIrmTE1JdHbqSUpOd0+Wmm7AJCKD0ww/JuONOalNTkTQa8v/fi3jcdy8Og660EAn6z9v03bMb1+nTmxxDm5cHgDJMVA4WBEEQBMGoRyR4tdVa6lU6MYJ3FY8AJ4sZwSvKqiL7VBnxM8LMNo1WYStn6E2hpB8tpLK4+alxvcXnn3/eJftaK311Nej1rSZ4APrKCpOdU+7oSOgHq7ANC6U+PZ3Mu+/h0qzZuM68Ge9HH22yr0yhwNbX95pjVG3cBID73Lkmi0sQBEEQBOvWIxK8hiRGJHhNefg7WswavKTNWbj5ONA33s+sccSMD8TeyYbj23r3KN4LL7xAZGRkm/tFRkbywgsvdENE5iXV1wMga6EVgszGWHDYUFNj0vMqIyPxmHc3djEDQCZDk5VFwdKXr1lr1xxNZiaVmzbhOHx4mwVdBEEQBEHoPXpIgqdGJpfh5utg7lAsioe/E5XFteh1BrPGUZpXw6WUYoZND0Nu5iI4tkoFcZNDOHMwn5ryerPGYk6hoaHs2rWr1SQvMjKSxMREQkJCujEy81C4uLT6vEFtvFEiU7a/F15bDGo1OY89jqSpJ2L9eiLWfYf94MHoCgvJfvQPqA4ebPG1klZL7rN/wX5gDMHvL29MQC2ZwSBx7JcM1r5ymB/eSubbfx3l0I8X0Wk7tq5RrzdQkFHJ9k9OseuLMx06//o3jpF3ocKkxxUEQRAES9MzErx8FW4+DihsesSvYzKeAY5IBomKIvOO4iVvycLZw47+I/3b3rkbxE4MxlapIGV7trlDMavQ0FBef/31Fp9/8803e0VyB8YpmDIHBzA0fzPEoDLOElC4uZrsnIWvv4HcxRnvxx9HJpNhHx1N+Nqv8X3uryCTUfivf7X42vy//x2FiwthH3/cZnJqKfasTSdtTx63LB7Cbf83jDl/GkpWWimbV6a1q5CPXmfgx3eOs3llKheTi0k/XIhB3/4CQMlbsii4VIV01Wuu97iCIAiCYGl6REZUXqDCM0BMz7xaw5RVcxZaqShSc/5oIUOnhllMAq50sCH2hmBO7c2ltlpj7nDMatU7n7X43LrvTNsWwNIpg4OuqVLZQFdRjkypxDYw0CTnkrRaKr//Hs8HHmyyXSaX47VgAT5PPUX9+QvoKyqueW3xe/9DqtcQsmpl49pAQwvtFixF/oUKTu3JZdi0UJw9jKOgSgcbRtwSQfapUi4cK2rzGAobObc+M5RbFsUROzGoQ+cvzqnmzIE8kx9XEARBECyRZXzjvk7GFgmigubVHFyU2DvZmrXQyvGtWdi7KIkZG2C2GJoTd2MIyGWc2Jlj7lDM5tyhfHbs39T485NPPskTTzzR+PPXa782R1hm4zR+ArqCAvSVlU2266uq0OXl4zBkCDKFwiTn0tfUIGm1yJ2bvzHlMukGkMmMo4q/U7FuHbriYgJffw2ZrW3j9jwLXyd55mA+AJFDfJpsDx3khcJGzun9zSdfpqDXGTj2SyZDpohKo4IgCELvYPUJnqZOR015fWNjb6EpjwDzFVqpLqvj7KEChkwOwUZpmi/GpmLvbMugCUGkJl6mXq1t+wU9TFFWFbu+OsdXb25n/PjxbNu2jeXLl/P++++zdetWEuJG8o9713Bqb665Q+02LlMmA1C1bVuT7VVbjE3E3W69tcl21aHDVG76uVPnsvHwQNm3DzU7dzb7fP358zhPnIj8d0Vfavbsof7CRfz//jIy+ZW3bkmrRaqz7PWkeekV2NorcPawb7JdoZDj5utAwcVKDIaumRZ5dFMGQ28Ktbj3IEEQBEHoKpa/Mr8NDcmLGMFrnkeAE4UZzU8762rHt2dja6dgkIVOexoyJYTUXZdJTbxMws0R5g6n26irNGxemYpXoBO3PT2Me/88pcnzU6dOZerUqSSuOceetel4BjoT0MfNTNF2H8dhw3C+8UZK/rcc5zFjsA0KQldaSumHH+E4YgRut9/WuK++qorsRx4BnQ6FmyvO48dfczx9qbH5uL68HEmSkMmaFhgKeOUVLj/+BApvb9zvuKMxaaveuZOSDz4k5P3ljfvWpp0i909LsPH1pWb37ibHMdTWNnt+S2HQG6gqrcPRxbbZ55X2CnRaA7VVGpzcTVfEBiD/YiUyuQz/SDeLqSgsCIIgCF2tByR4okVCazz9nTh3qACDQerWCpbqKg2n9+UxbFoYSnvL/DNzcrNjwNgATuy8zOAbQyw2TlPS6w1s/TANvc7AjMdjsbFteVRj/F1RlOXWsGVVKne9MNzkX74tUdA7/6Fk+fvkPP4EchcX9GVlOI8fh8+SJU0SNLmTE47x8Wiys7G7qhJpzpOL0GRnock0tuKo2b2b8+PGYxschPdjj+Fy440AOA4dSvj6dZSu+oDMb75Fbm+PQavBIXYwoZ98jI2HR+Mx859/DoNKhSYjo9m4lRGWe4OivlaHZJCwbeHfV8P2OpXWpH9jWo2eEzuyuenhgW3vbOUMBj1HfviOc4f2Ye/kjKauloghCYy6fR42SmW7j6PX6SjKuMjxrZuwsbVl6mNPmWhfLcc2bSD90D6U9g4oHR0Jjh5Iwqzbr7nxIQiCIFy/Tn2jXb58OW+++SYFBQXExcXx3nvvMWLEiGb3/fDDD/n8889JS0sDID4+nn/9618t7t9R5fkqnD3tsLUT02+a4+HviF5roLq0Djef7msjcWJnNnK5jMGTgrvtnJ0xdGoop/fmcXpfXq9Yo7N/3QUKLlZy65+GXjNd7moKGznT/jCI7/51lM2rUrltyTAUtlY/q7tVcqUS3z89g++fnml1P5lCQdhnnzb73O9H3tqiDA4m4JV/tLlf5MaN7T6mpdFrjZVJW/rbkSuMX/A1tTqTnvfwj5dImBlhMcWdutKvH6/kYtIR7n31LVw8valXq/nm789RlHGB2557uc0kSq/T8v2yl7FRKvEMCuHM3l0MnDj5uvcF0Gm1fL9sKTKZjDue/zuObu6kJe5g+wf/w8Xbh+gxE67rdxcEQRCu1eFPvm+++YYlS5awdOlSkpOTiYuLY9q0aRQVNV8FLTExkXvuuYddu3Zx8OBBQkJCmDp1Krm5plnbU5avxlOM3rWoYW1idxZaqVNpSU3MZdDEIOydmp+WZSlcvRzoN8qf49uyO9yPy9qcOZBP6q7LjJ8XRWCUe7te4+Rmx4zHB1OcU82etefaVc5eEH5P6dD6fURtnfHfnSlvHuScLsPRVYl3sLPJjmmpcs+e5sT2zQyffScunt4A2Dk6MmbufWSkJHHuwJ42j6GwsWXui69y21+XMmTqTJPtC7Bz9ftUlxYz59kXcXRzB0BdWYFBr0Ov7X3rnwVBELpDhz9R3377bR599FEWLlxITEwMK1euxNHRkY8//rjZ/b/66iuefPJJhgwZQnR0NB999BEGg4GdLRQX6KjyApWYntkKZw87bOwU3doq4eSuyxgMktWMiMVPC6O2WsPZA/nmDqXLFGZUsXvNOQaMDWDghI6tifSLcOWGe/tzen8+p/Z2XbXDnkqn07Fu3TrWrVuHTmfaUSproLS3wUYphxZuDmjrjQmenaNpbgbV1+o4vT+PITdZx/vP9UpL3AFA1IjRTbZHDIlHYWtL6q/bmntZtyjKvERa4g7iZ96Grf2VGQMjbr2Tx1d90erInyAIgtB5HZqiqdFoSEpK4vnnn2/cJpfLmTJlCgcPHmzXMdRqNVqtFk9Pzxb3qa+vp77+SlW4qhZ6U+m1BqqKa/EIEAVWWiKTyfDwc+y2ETxNnY6Tv+YQMy4QR9f2r/0wJ3c/R/rG+5K8NZsB4wJRKHrWlC5VZT2bV6XiHeLMxLv7d2rNy4AxgRRn17B3bTqeAU7tHgEUjLMY5s6dC8D27duZMmVKG6/oeVy9HahXN5/c1tZoUNjIcfFqfcpwe10+W0ZlcS0//ud4k+01FcbPlL3fncfut16YfeN9TXJOc7p8JhWlgwMuXt5NtitsbPDwDyQv/SwGgx65vPuXMZzY/gtIEuFxw655zsndo5lXWB7JIFG9K4fa1GJkDjZIGgP2/TxwvTEUWTtHnTtyDEkvUbM/l9q0EmQ2ciStAYdBXjiPD0Z21Tp6SS9Rsy+X2rNlyGRg0Bqw7+uOyw3ByO16/ppyQRBa1qF3gJKSEvR6PX5+fk22+/n5cfbs2XYd469//SuBgYGtfslZtmwZf//739s8VkWRGkkSBVbaYmyV0D0JXtqeXLT1eoZa2d3z+BnhrH3lCOmHCxkwxrJ69l0Pvc5YVEUySMx4LPa6psGNnduX0twatnxgLLrS1hq+3kqSJNTqKyPma9eubfLfo0dfGWlxdHTsFUUmQgd6kbI9mzqVtsm07Xq1lpqyeoL6uZusCFSfob70GXpt4nZk4yWO/pzJ+LlRBPW3juSiLQa9nsqiQpx+m/p4NVsHB3SaetQVFTh7enVvcEBGShIAjq6u7Fi9grLcHGqrKgkZNJgxc+/D3snyp9BW/HiBujNl+C4agsLNDkOdjuJVJ9Hm1eC1YGC7/v229xiSXqLk0zSkej3eDw1Cbm+DQaOneNVJdBX1eNzat8lxy9aexa6vOz5/iEUmkyHpJSq3ZlL8QSq+T8Qh6wXrT7vS4cOH8fDwIDw8HKVSicFgoKSkhFOnTjFmzBjs7Hp+4THBenXrLZ7XXnuNtWvXkpiYiL19y18On3/+eZYsWdL4c1VVFSEhIdfs19giQYzgtcrD34ms1NJmS7Wbkk6jJ2VHDtGj/HHxtK4v/15BzoQP9iZ5axb9R/l3a8XRrrTv2/MUZlQxZ8mw665QqFDImfboIL5bdpTNK1O57c/DWq3C2VsdPHiQsWPHNvvc6tWrWb16dePPBw4caJLw9VSRcd6kbM/m0vFiYsYFNm6/kGRcu91/lH+T/S+fK0ddVU+/4U23C03VqWqQDAZsHZr/DFTaGwtr1dVUd3uCp9NoqC4pBuDoT+tJuOU23P380dbX8cPr/+Dbf7zAPf94A1s7y/2sqM+sRHW4APdZkSjcjO+fcnsbXG8Ko/Tz09SeLMYxrvVR4I4co3pPDvXnK/BaMBD5b9Vl5UoFzqMDKV+fjlO8H8pgFwDqLlZgqNfjPPLKDUmZQob7zREUvpNEbVoJjkMsf4TaYDCwd+9eTp06hYODAxqNhr59+zJhwgRsbds3bbsjx9Dr9Rw6dIj09HRkMhlarZbIyEjGjRt3TcJ2+vRpsrKM1ZDt7e2pr69HkiSmTJkikjvB4nXo9o63tzcKhYLCwsIm2wsLC/H3b/2D+N///jevvfYa27ZtY/Dgwa3ua2dnh6ura5NHc8oLVNg72+LgbB1TAc3F09+JerUOdZWmS89zen8+ddUahk4L69LzdJWEGeFUFKq5mNx8wSBrc3pfHml7cplwdz+T9bFzdFUy4/FYSnNV7F4jiq405/PPP++Sfa1ZQF93wgd7c2RTBlWltYCxlUry1iyC+rkTPfrKl9R6tZaN76awffVpsk6VNns8dbXxvaxWpW3332BdjbGgR52q5cIenTmuOTUUKbFp4YuwwsaYJNSru78HYF1NdeN/u3j54O5n/I5ga2fP6DvvoTjzEod/+Lbb4+oI1THjdx37QU2nv9r39wAbGaqjhc29rNPHUB0yrgNXhrg02dcuwhWkK8cC0F6uRmqhMJiNjyP6yvpmn7M0v/zyC8eOHeP+++9n4cKFzJ8/n/Pnz/PNN9+0+99gR46xfv167OzsWLBgAQsWLOChhx5Cr9fz6aefNrtG2svLC4VCgUwmo1+/fixcuJBx48aZ5HfvzXJyPqOkZBd6vfHzQJL01NSkc+nSO+h0NWaOrmfo0AieUqkkPj6enTt3MmfOHIDGgimLFy9u8XVvvPEGr776Klu3biUhIeG6Av698nyVaHDeDg0jnOUFapzcuuauk15n4Pi2LPom+OHua53/n/hFuBIywIOkzVn0jfe16qlzBZcq2b32HAPHBzJwvGkbzfuGuXLD/f3Z+ekZfEJdLb4VRnd74YUX2L59O5cuXWp1v8jISF544YVuisr8pj86iKM/Z/Dz8pPYOdhQW6MldKAXo+f0afJvzdbehoAoNyqLaq95f//5/ZNUFtdSWWhMWLJSS/nkL/tw9XYgfnoYEXE+15z38E+XSD9aSFWx8YvEto9P4bYxg1G3RhI5xKfTx7UEdk6tL0/Q1Bl/5470wjMVpcOVtjxXr8HzDg0HIG3Xdsbd/WB3htUhmoxKZHYKbK763JQp5Nh4OaDJqkIySNesjevMMaQ6HfpK4w0G+VU9I+W/3cSuv1RxZZuLEk1GFZVbMnC9KQzZb2vHJa0BTXYVLhMt/305OzubY8eOMWPGjMYb+fb29txwww2sXbuWtLQ0YmNjTXaMjIwMNBpNk++hCoWCqVOn8v7773P69OlrBiD++Mc/mvJX7laSpCczcwVFRb9gY+uGXq/Cy3Mi4eGLUSja912wvceory9k/4EbsLPzQSaz/e09vem/C1eXwQwc+BYARcVbqag4DICNjSt6vQpJMtCnz7PY2Fj+1G1r0OEpmkuWLGH+/PkkJCQwYsQI3nnnHVQqFQsXLgTgwQcfJCgoiGXLlgHw+uuv89JLL7FmzRrCw8MpKCgAwNnZGWfn6/s/saxAjX9E86N7whWuPg7I5TLK81UEd9Hak3OHC6gpryd+unWO3jWInxHOhrePk5laSsRg77ZfYIFUFcaiKn5hroyf169LzhE9KoDi7Gr2fXceryAngvr1jDVNphAaGsquXbuYNGlSi0leZGQkiYmJzU4976kUtnJGzenDqDl9Wt1PLpcx50/XFuUAmPlk67M/mjNydiQjZ0e2uk9njmsJlPYO2NjZtTjSoak1Jnh2ZljrpnRwRK6wwaDX4ezVdHqo3W9TSlUV5airKnF0Nc0MA1OS9BK68rrG5OpqcjsFOq0BQ40GhWvzX5Y7cowm6+WuyhcbEkhdaV3jNodB3lRtzaI68TJ1Z8vwuKMftgFOxqmcowMbp3JasuPHjYWQoqOjm2yPiopCoVCQnJzcZoLXkWPk5uaibaE1h7e3d4sF/azVufSXKSn5lYSE9djb+aPTVZOUfC/VNaeIG7y6XTex23uMmppzSJKGurqWWqDJ6N/v5SZbHB0jqK3NRSZT4OU1ibDQR3F3N90gUG/X4QRv3rx5FBcX89JLL1FQUMCQIUPYsmVLY+GV7Oxs5PIrb1QrVqxAo9Fw5513NjnO0qVLefnllzsduMEgUVGoZsDonlMQo6soFHLc/Bwb1yyamkFvIHlLFpFDfPAKsu47L4FR7gT0cSNpcybhsV5WN4qn1xrY8kEqMmDaHwZ1aZPnMXcYi65s/TCNuc8Pt7p1l10pNDSUZa++xrx77mr2+TfffLNXJXdC13Hz8aNO1fyUptrqKhS2trj6mGcE0iMgkNLL2eh1OuTKK+t1f/++KldY5jpeQ50ODMYkrDmy37Yb1LoWE7yOHMPW3wmFux36inqkOh2y37UN0VX8ltjpJQz1euR2CuRKBd4PDaT089NoC9QUrUjBxtMBt1sicYhuuUq5JcnKykKpVOLm1jTBVygUeHl5kZOTg8FgaPKd8nqO4eLiQlZWFjt27GDSpEkofvvb02q1XL58uUdNvayoOEZu7hr6Rb2EvZ1xerSNjQuREU9zMvUxCos24e83y2THqFGlExv7Pl6eNyCX2wDyxn/nxcXbqKhMwtOz6dr00aN2mPi3Fn6vU9/+Fi9eTFZWFvX19Rw+fJiRI0c2PpeYmMinn37a+HNmZiaSJF3zuJ7kDqC6tA691iAKrLSTp78jZfldU0nzQnIRlcW1xM+w7tE7MH7xiJ8RTmFGFZfPlZs7nA7b8006RdnVTH88tsum4zZQKORMe2QQNrYKNq9MRafp2Y3iO0JdpeG/yz5q8fmPln/RjdEIPVnE0ARqSkuoq2ma5NWpaqguKSYwKtosLRIAQmPjAFCVlTXZXqc2fha5ePtYbCVNSWcAaLESZcOUSENdy70tO3oMp1HGG9aa3Kv+vzx75fpJ9VfOZ+PjiNPIAGwDnQAZupJaKr4/T915y//s0uv1lJeXt1isRKlUotPpqKlpeT1WR48xYMAAXF1d2bdvH6tWrSI3NxedTsdPP/3EiBEjCAwMvOYYRUVFfPXVV3z00UesXLmS7du3tzgKaEny89cD4OMztcl2L6+JyOVK8vLaXv/akWOoVRfx8rwBhcIOmUzRmNzV1xdy+fKX9In8v+v6fYSOs9oaug1l/0WLhPbxCHDqklYJkkEiaXMWoTGe+Ib1jOmyoQM98Ql1IemXTHOH0iFpe3I5vS+Piff0xz+ie6Y8ObgYi66U56vY9dVZqyhM0dUqCtWsf+MY+09eaTD95JNP8sQTTzT+vPnXDexffwHJIK7X9ejtTeQB+iaMAiD98P4m29MP7QMgZsKNTbZnp53kzP7d3RJb7I3TkMnk5F8412R7wXnjz4MnT++WODrj6nVwVzPUG29otdaKoKPHcBkfhF2UO5VbMtH/VvCnPqsKw+96SMp/G9kzaPSUfHoKSWfA949D8V08BNsQF/RVGko+SaPugmUneXV1dUiShLKF9aENSVvtb9OMTXEMpVLJ/fffj6enJ0VFRXz00Ue8//77xMbGtjh6t3//fm6//XYeeeQRFixYwPnz5/nqq68wGAzt/l3NobziMAqFM/b2TWe5yeW2ODiEU1mZjCS1flO2I8eIjPzTNev6JEni7LkX6ddvKXK5KIbY3aw2wSvLV2Frp8DZQ5SqbQ8Pf0fUlRrqa037JSjjZAlleSribw436XHNyTiKF0ZuegX5FyvNHU675F+oYO836cRODCJm7LV3IbuST6gLkx6IJv1wISd/vdyt57Y0BRmVrH8zCblCTmryWcaPH8+2bdtYvnw577//Plu3bmXChAlsXnOQlB3ZbP/4FHqtZX9RsGQNTeTnzp1LYmKiucMxi6DoGPokjOTgujVUFRsrAKsrKzjy4zpCYmIZeMOVnrN1qhrW/+tFfvnvm4096q6mrqwAjNM727ph09a+PqHhJMy+nUPr16KuMr6XauvqOLzhO4KiYxg++/aO/rrdRm6nMDYhb+EaSL/NWJA7tJzEdfQYMoUc7wUDcRzqS+maMxR/cJK6s2W4TDAWTFF42DUmg5U/X0JurzA2S5fJUAY64/tEHG4zIwEZFRtbL/Jkbg03ZGxsmr9+DdMy6+tbrgbamWN4e3uTkJCAv78/MpmMsrIyNm7cyMWLF695/fDhw5k9ezYOvxUMsre3Z8KECWRmZpKcnNzWr2g2BoOOurrL2CiaHwCxUThhMNSh0ZSY7Bh2dte25MjL/xZXl8E4OTW/7rqmJp2UEw9z7NidHD4yiwsX3kCvr2t2X6HjurUPnimVF6jx8O8dTYJNoWGkszxfhX+kaUZ3JEkiaXMmgVHuBPZ1N8kxLUVknA8eAU4kbc7klsVx5g6nVTXl9Wz+IA3/SDfG3hVllhj6jfCnOLua/esv4BXkRLCVrAExpcyTJWz9MA3vEBdmPjkYe2db9uzZ02SfqVOnMnWqcbrLhX5F7PjkNOrqFGY8Phi7Vr4oCkaiiXzzbnnmOQ6t/5ofXv87SkcnaqsqCY+LZ/w985tcA6WDA0HRA6koyMcrqOka0A1vvkJFQT7l+cYiCZeSj7LysQdw8/FjxG130TdhZKf2nXDvAlw8vfjhtZexsbNDV19PxNDhjLj1ThQ27etzZi4KT3sMLdwUNai0YCND4dH62uOOHkOmkOMyLgiXcVeqH2uLjX/z9lHGYlaS3oDqWCE+f2haHEgml+EyPghJb6BqSyYGtbZxxM/StNYLGUCjMY5gtpS8deYYGo2Gb775hrCwMB577DEKCwvZuHEjubm5fPnllzzwwANERl4pyDRo0KBrjtlQbyIlJcWkVeFNSaerQpL0KGyaT84Uv1Wp1GorsLPz65JjaDRlZGd/yPCEH1uMMzv7QwbGvI2trZuxeEvSPKqqTjB06OfIZJa5NteaWO03CmOLBDE9s73c/R1BZpzaaqoEL+dMGUVZ1cx6yrIToM6QyWXETw9jxyenKc6uxifUMiuS6bR6Nq9KRaGQMe3RQSgU5huUH31bH0ou17D1w1PMfT4BV2+Htl/UQ5zam8vuNecIH+zN1IcHYqNs+8Opb7wvjq62/LIilR/+ncQti4eIGQltEE3km2dja8u4ux9ss+WAXK7grpf+1exzc559sd3n68i+AEOnz2Lo9NYLOlgi+/4e1OzJvSZRMtTq0FfUYxfp1mqLhM4cQ1+tQeHSdDpbfYZx9NNphLHQhaFOD3qpxeItDgM8qdqaiczWcr8k29nZYWtr23IF2N+Ss9aSuI4eY+vWrY2jcAD+/v48/PDDHD58mO3bt7N582YWLVoEGNf31dbWXlPtvSFZLCqy3H65BoNxxFIub/7zRCYz/g46XXWzz5viGNk5H+PmFo9NCwlicNC9+PhMQy43/puwsXEhPHwRaaeeIjfvG4KD7m0xNqF9rHKKpiRJxhE8UWCl3WyVClw87SnPN10lzaTNWfiGuRAyoGeO1kQl+OLqbU/S5kxzh9IsSZLY83U6pZdrmPF4LI6u5p3jLv+t6IrSQcHmValoe0HRFUmSOLzxEolfnWPghCCmPxbbruSuQWCUB7f9eRj1ah3r3zhGWV7XFELqKUQTeaE7OcQY2zvUppU22a5OLQbAcVjTaWl1FytQpzT94t+RY1TtyCL/1cOoTxQ3bpP0EjX783AY5NXY+kDhZIuNryO1p5oes4G2QI19f0/j9FAL5u7uTl1d81Py1Go1CoUCd3d3kxxDr9eTkpLSpCggGKdxjh49mkmTJlFcXNw4Q2DNmjW89dZbZGdnN9m/IWlsrbKnudnYtF4PQa83/o4tJW/Xewy9Xk1u7ho83Ede81wDP79bGpO7Bs7OxlYXBfnft3puoX0s9y+0FeoqDZpanRjB6yAPf9MVWsk7X0He+QriZ4T32GlQcoWcYdPCuJhS3GUVSK9H2u5czhzI54b7+1tMgRt7Z1tmPB5LRaGaXV/07KIrer2BXV+c5djPmYyaE8mEu/shb+NufnO8Ap254y8J2Dna8P2/k8g7X2H6YHuIF154ockUqpb0tibyXUEUsAG7cDfsB3hStSMLXbkxidDXaKhOvIxdpBuO8VemphlqdZSsTqNs7TnqzpV16hgyexuwkTWuyTNo9JR/dw6ZDDzmNu1p6nFHFDX7c1EdKWhSrKn2VCnViTm4t9Fv0hJERUVRVVV1TSGV2tpaKisrCQkJaTORau8x6uvr0ev1LVbc7N+/PwC2tsakQ6VSYW9vf83+1dXGEavmKm5aChsbJ+RyB5CaX9+t1xuritratjyb63qOUVS8DZ2uEkfHiGZfazBom13/15As1qjSW4xLaD+rTPDK8xsqaIoRvI7wCHCkzES98JI2Z+IZ6GS1zcDbK3pUAE5udiRvyTJ3KE3knS9n37fnGXxjMNGjLKsXpHewCzc+OIDzRwtJ2Z5j7nC6hKZOxy/vp3LuUAFTFgwgfvr13ehw9rDjtj/H4x3izE/vpnAhyXKn/5hTQxP51pK83thEviuIAjZGXvcNwDHej5JPT1G04gTFK09i388Drwdjmvybl9kpsAt3ReFmh42vY6eO4TwmENfJYagO51P8wUmK3z+B3FmJz+NxyO2arqixC3PFd/FQNJerKXo/haJVJyhankL9xQq8H4nFxt3y+5I2NCc/ffp0k+0NP8fFNV3+kZGRQWpqaqeO4ejoiI+PD2fPnm02lqKiIvr169eY4EVGRnLXXXc1rrlrcP78eQBGjRrVjt/QfBwcgtHqmi8Sp9WUI5crsbcPavb56z1GWdleAJTK5vtvnjj5KPv2j6GismmhJ73e+N2+YfqncH2s8iqWF6iRK2S4+fSeNT6m4OnvxMmdOei0emyuY25+UVYV2afLuOnhmDbXH1g7ha2coVND2b/uAsNvibCIv7nqsjq2fJBGQF83xtzR19zhNCsqwY+SnGoO/nAB72BnQmJ6zjRedZWGn5efoLxAzS2L40z2u9k52DBr8RB2fn6GrR+loaqMIu5GkaRczcfTn3tvWsw/Vy1p9vmFt/4Jfz/LvbtuqUQBm+bJbOS4TQvHbVp46/vJZdcUPenMMVwntf/fvI2nPR63m6ewlimEhobSv39/EhMT6dOnD+7u7tTU1LBv3z7Cw8MZMmRI4761tbV88cUXGAwG7O3tiYqK6vAxZs+ezZo1a3B2dmbo0KGNo4Nnz55l79693HPPPY37jhs3jjVr1jBlyhTCw8MBKCwsJCUlhXHjxtGvX9MRVUvj5TWR7OyP0Gorm4yyabVV1NXn4e4+ss1CJp09RkX5EaDlEUKtpgyFwgUbRdP1jfX1hQC4ulxb3EboOOtM8PJVuPk6IjdjQQlr5OHviCRBRWEt3sGdby6btDkLN18H+sY3X32pp4kZF0jS5kySt2Ux6b5os8ai0+jZvDIVha3c7EVV2jLy1j6U5NSw9aM05j4/3CKS4+tVUaRm43sn0NXrue3/hpm8+I7CVs5NC2Nwdrdj37fnUZXXM/q2Pj3+Rkp7ZaaWsOuLs2xL/LnFfX76eQMRLglMWRiDX7hlTF22BqKAjWAOc+fOZffu3axZswY7OzvUajV9+/Zl8uTJTW4i2NnZERoaSllZGT4+Pp06RkhICH/4wx/Yu3cvSUlJ2NraotPpCAoK4sEHH8TJ6cqyH0dHR+6++2527NjBrl27Go8zZ84cBgwY0MVX5fr5eN9EdvZHFBVvIShwXuP2oqJfAAjwb9qipKz8IJr6Yvz9Z3f6GACSZKBeY0zUZLLmK7h6eI6hr9dEnJ37N9leWmrszxkSsrDdv6fQMqtM8MoK1HiK6Zkd5hHwW6uEAlWnE7zS3BoupRQz6YHoTq03ska2SgVxk0M4simD4TeH49xGWeyuIkkSiWvOUZ6v4vZn43FwsezGoXK5jJseHsh3rx1j88qT3PGXBGxbqPpmDQozqti0/AT2Trbc8Zf4LqsSKpPLGHNHX5zc7di37jw1FfVMfnAACgsvmNCVNHU6Dqy/wKm9eYQO9OTIuZ2Nzz355JNIksSKFSsAOJq+E1u7Zax/I4mEGWHE3xxu0TdCLEVHC9iIBK/zdDodGzZsAIwJQ2utAHo6GxsbJk+ezOTJk1vdTy6Xs2DBgus6BoCHhwezZ89ucz8AZ2dn5syZ0659LY27ewLe3lPIyPgvnh7jcHAIQqMpIStrFe7uIwkIuKNxX622ipSUBUiSDltbN7y8Jnb4GFeOVdbY/Lyl5ubhYY9z4sQjyPo8i4eHsRBLTc058vLXERb2ON7ek0x9OXolq3xXKS9QdXsz557A3skWBxfbxjWMnZG0JQtnDzv6j/Q3YWSWL3ZiMMe3ZXN8ezbj7zLP1IyTv17m3KECbnooxmLbNlzN3smWmx+PZd0bSez87AzTHh1olVO7Mk+WsPWjNLyDr/S462pxk0Nwcrcz9sqr0jDj8dhe2Suv4FIl2z85jbqynon39mfg+EAyZ2fywAMP8OKLL3LTTTcBxi/Kr776Kl988QVBQcEc+yWTY5uzyEorZcrCGFGUqw0vvPAC27dv59Kl1htkiwI2169hfSPA9u3bmTJlShuvEISOix30XzIy3uPEyUewsXFBqy3D02sCffv8ucnnsI2NE+5uCahrs3B07NupY1w5lgtOTlEolT7IZM3fWLO1dSd28EouXniDSxnvIkOGhERMzBv4+kwz7UXoxWSSFZS5q6qqws3NjcrKSuxsHfnoT3u46eEY+g3vXUmGKWx4OxkHFyXTHu34HOeKIjVrlh5i/Lx+xN4Q3AXRWbbDGy+Rsi2bB14d0+0tCS6fK+end1OIuzGYsXda35qLi8lFbPkgjVFzIomfHm7ucDrk9L48Er8626Eed6aUd76cX1ak4uxhz6w/xuHk3jt65el1Bo5uyiB5axa+4a5MWRCDu1/HZm4UZlSx49PTVJfVMeb2PsRODBbTXVuRnZ3NpEmTWkzyRAGbzrl6fePTTz/dOOX14Ycf5t133218rjetbxQEoanf5zuurte3xMDq5q1cqaAp7sZ2hoe/U6dL/idvzcLeRcmAMZZVtbG7xE0KAbmME792b2XIqtJatn6YRlA/d0bfZvmlr5vTZ5gv8TPCOPTjJbJa6N1kaSRJ4sjGS+z68mynetyZypVeeVrW9ZJeeaW5Nax7/RjHt2UzYlYkt/95WIeTOwC/CFfu+ttwYsYGsveb8/z03xRqypvvmSVAoH8Qj93zbIvPL5z9DN4evWPttSkdPHgQZ2fnxsfv1zOuXr26yXOHDh0yY6TWT7T3EAQj60vwClQgA49OfNgLxlYJFUVqDPrme5u0pLqsjnOHChgyJcQsX3Itgb2zLYMmBJGaeJk6lbZbzqn9raiKrZ2CaY8MsurCQiNmRRI20Ivtq09RUWSadh1dxaA3sOvLsxy9zh53ptLYK8+hZ/fKkwwSKTuy+W7ZMfQ6iTufSyDh5vDr+ru3VSqYcHc/Zj0VR3m+irWvHCH9SEGP7tHYUZIkcf5oIV+9fIjvvvmuxf02bv6JL188RMqObPS6jn2G9GYdXd8odJ5o7yEIRlb3bbEsX42rl32vTTKul4e/EwadRFVJx+5iH9+eja2dgkETWu+b0tMNmRKCQSeRmni5y88lSRK7vjhLRYGam5+I7ZZ1X11JLpdx00Mx2DvbsnllKpo6y7y7qq3X88uKVM4dLGCyCXrcmcrVvfIuJvesXnlVpbVs+M9x9q+7wKCJQdz1fIJJ15qGxnhx90sjCR3oxfaPT7Pto1PddqPGkhVcqmT9G0lsW30KnxAXjl34tfG5J598kieeeKLx5yPndhA13I8D6y+w5u+HuXS8WCTK7fDCCy+02ruxgVjf2HGSJKFSqRofV7f3+P1z4m/1+okRUuthdQleeYFKTM+8Dg3Xrryg/dO81FUaTu/LI25yCEr73lfk4fec3OyIGRvAiV9zujxBObEzh/NHC7lx/gC8g62jqEpb7BxtufnxwVSX1rHzszMW94GrrtKw4e1k8s5XMHPxYItrIt/QKy9yiDdbPkzj5C7rbyQvSRJnDuSz9pUjVJXUcuufhjJublSX3MSzd7Jl6sMDmfrIQHLOlPH1Pw5bzZRhU6suq2Pb6lOsfyMJndbArc8M4eYnBpOZmcn48ePZtm0by5cv5/3332fr1q1MmDCBrKwsbri3P/NeHIG7jwObV6Xy43+OU5xdbe5fx6KFhoaya9euVpO88LAIsb6xE8T01+4lRkith/UlePkqPESLhE5zcldia6+gvKD9U+RSdmQjV8h6ZWGV5gydFoa2Vs+pvXlddo6cM2UcWH+BYdNCiUroWWtePAOdmLIwhkvHi0nanGXucBpVFKlZ/2YSNeX13PZ/wwiN8TJ3SM1S2Mq56aGBDJkSyt5vznNg/QUkg2Ulyu1VW61hy6o0fv38DJFDfLj7pZEE9/fo8vNGJfhx94sj8QpyZtN7J9i95hzaen2Xn9cSaOp0HNpwka+WHiL3XDmTHojmrheGExztCUBYWBh79uxprE4KMHXqVHbv3k1oaChgnDI866kh3LI4DnWVhm+XHWXnZ6dRVdSb5XeydDqtnqpMBTOHPNziPjf1n8/Z7VWU5tZ0Y2TWT0x/7VpihLT7/L59iilY1XCMTqOnqrSusZ+b0HEymQwPf6d2t0qoU2lJ251L7A1B2DtZ9xRBU3HxtKffKH9StmcTe0MQNramHWmoKqll60dphAzwZOSt1llUpS2RQ3wYPjOcwxsv4R3sTPhgb7PGU5hRxc/vn8DOsWt73JmKTC5j7B19jQ3RG3rlzR+AwsZ67tllnizh1y/OIBlg+h8G0WeYb7ee39nDjll/jCNtdy4H1l8g52wZUxbE4B/p1q1xdBeDQeLswXwO/3iJ+lodQ6aEMGxa2HXNyggb5EXIAA9O7c3jyMYMLiQXM2xqKENuCsVWLKNAU6fj1J48UnZko67WkHp5X4v75upTyLswhfQjhUTEeRM/Ixy/8OurotcbiPYeXevgwYOMHTu22edWr17dZMT0wIEDoj/mdUhMTGT+/PkmO55VJXiVxWqQRAXN6+Xp70hZO0fwTu66jGSQiJsc2sVRWZf4aWGcO5jPmf35Jh3ZbFj/Zedoy00PD+zRzeSHz4ygOKeG7R+f4s7nEsz27zoztYStH6bhHezMzCfjrGqtY0OvvO2fnKK2WsP0xyy/V56mTsf+785zen8+YbFeTLo/Gic387R+kMmMMxNCBniy/ZPTfP9mEvEzwkmY2bOao18+W8a+dRcovVxD1HA/Rt/WBxdPe5McW66QE3tDMP1G+Bl7D/6Syel9eYya04d+w/16ZVuKOpWWk7suc3JXDto6Pf1H+TNsahiL/Tc37vPkk08iSRIrVqwA4JedG/hp63rSDxeSvDWLda8dIzjag4QZ4QT2c7eIdcCWKDQ0lF9//ZUJ428gOyez2X0CfUP4/uufxfTXTujoCKlI8Nrv6vYpvx8dNQWr6oOX/Ot5DnyTzcNvjRejSdcheWsWxzZn8uh/JrT6oaGp0/H5CwfoP9Kf8fPM09zbkm37KI2CS1Xc98ook3wZlCSJbR+dIjOtlDv/Eo9XkLMJorRsmlod614/BsCdf01A2c3Jyel9eSSuOUd4rBc3PTzQakcdctPL2bzS8nvl5V2oYOenp1FXaxl3Z19ixgVazBdXg95A0pYsjv2ciVewM1MWxOAZaN03EysK1exff4HMkyX4R7oy9s6oLh+hrChSc/CHi1w6XoxvuCvj7uxLQF/3Lj2npVBV1nNiRw5pe3KRDBIx4wIZclNoYzKdlZXFAw88wIsvvtg4BXbbtm28+uqrfPHFF41TYA0GyTiFfUsmJTk1+Ee6Ej89nLBYL4v592IJ6mt1nDuUT9ruXHYd2MpH219udr9Fc/7JAL/RBPR1Y9DEIPoM8UVh23Nu4HSltnpjNhA9MjvuwIEDLY6OmqIPnlUleDvXppCZVM1Db4wzd0hWLeNEMb+sSGX+srE4e7T8RTB5axaHf7rEA/8cjbOHae729iSluTWsfeUINz44wCS9AZO3ZnHwh4tmma5mTuUFKta9dozAfh7c/Hhst9zxlySJoz9ncnRTBoMmBDHezG0QTKE0r4ZN750AGcz64xA8LWgqu15r4PDGSxzfnk1ApBuTFwzAzccy11IXZVWx45PTVJXUMfq2PgyeZH3N0etUWo79nElq4mWc3O0YfXsf+sb7dmtykJtezv51FyjOrqZvvC+jb+tj8VOfO6uqpJbj27M5sz8fhY2MQTcEE3djCI6uyus6riRJZJ8qI2lzJvkXK/EKciZ+Rhh9hvla/fvV9SjOqSZtTy7phwsw6CQihviw8qeX+fHn9c3uf8899/CP/3uHtD2XyT1XgYOLLTFjAxk4IchkI9k9lWSQOLonjTl3zSS/uPmiXqHB4ezem0h4eFj3BmflHn/8cVatWtXsc70uwVv3zkEUeiVzlgwzd0hWraJQzVdLDzH76SGEDPBsdh+dRs/n/+8gEbFeTHpgQDdHaD1+WXGSsnwV97486ro+cLNPlbLxfyeInxbGqDk9c91dazJPlvDzipMMnxnBiFsiuvRcBr2B3WvOcXp/PiNvjSR+eliPuSteU17Hpv+doKa8npufHEygBYyclFyuYccnpykvUDFiVgRDp4ZZ/JdTnUbPwQ0XOfnrZYL6ezB5/gCr+CKo1xtI253L0Z8zMOgk4meEEXej+XqXSgaJc4cLOLThInUqHXGTg4mfHt7tI/VdpbxARfKWLNKPFKJ0sCFucgixNwRh52jaGUaSJJF/oYJjm7PIOV2Gm68Dw6aF0X+kv1Wtu70eeq2BC8lFpO3OpeBSJU5uSgZOCCJmbCBO7nZN3sOvnv4KNBYAKctTkbY3l3MH89HW6wmL9SZ2YhAhAzyt7kZOVyovUHHucAHphwuNfZBLDvHe+r81u+8jN73M6LgbiRruR/SoALxDnHvMZ2pXam10tNcleB89v5O+g4KYeG9/c4dk1Qx6A6ue3s3YO/oyeFLzw+knd11m37fp3PePURZ7p90SFGZWse61Y0x9ZGCnq11WFKlZ99ox/CPduPnJwRb/5berHP05gyMbM5jxeCyRQ3y65Bzaej1bP0oj51QZkx6IJnq0ZbVBMIX6Wh2bV56k4GIVNz0cQ5+h5hkNNhgkUrZnc3jjJdx9HZmyMAafEOtq95FztoxfPzuDplbHhLv70W+kv0V+cZEkiczUUg6sv0BlkZoBYwMZOTvyukeQTEVbryd5WxYp27KxtVcwcnYkA8YGWu17XXF2NUlbMrl4vBgnNzuG3hRKzLhAbO26PpEuyqoiaXMWl1KKcfawY+jUUGLGBvbY3sBVJbWc2pvH6f151NVoCY72YNDEIMIHezdZGtHe6a8NNHU6zh8tJDUxl9LcGtx8HBg0MYjo0QG9dglQbY2GC8eKOHuogKLMKpQONvRN8KX/SH/+/NKTfP31182+7vY5c/nTva+SfrSQ2ioNnoFO9B/pT78RfmL2Vws0dTqy0ko5tOMkS5YtoKSqaVX2XpfgvfXoRqbcM4TBk0S5/uu19pXDBPRxbzZZ1usMfPniQQKj3LnpoYFmiM66/PTucdRVGub9bUSH7wBq6nSsfyMJvc7A3OcSTH7n15pIBoktH6SRc7aMO/+aYPIphuoqDT8vP0F5gZrpjw2y2DYIpqDXGtj52WnOJxUx/q5+3f6eWVVSy45PT5N/sZIhU0IZOTvC5NVmu0u9Wsueb9JJP1xIn6E+TLyvPw7OlpE4gXGEdP+681w+W05wtAdj74zCO9gy1+/WlNdxcMNF0g8X4hXkxNg7ogiJaX4WiSXKu1BB0uZMsk+V4eptz7BpYUSPCjDLeq7SvBqSt2Zx/mgR9k7G0cNBE4MtvshSe0gGiezTZaTtvkxmWilKexuiR/szaEKQyYtxSZJEwaUq0nZf5kJyETKZjKjhfsRODMI3rOdXMdVrDWSmlnDucAFZqcaeoKGDvOg/0p/wwV6N79vtGSE16A3knCnn3OECLqUUo9cZCO7vQf9R/kQO8en1fZTra3Vknizh0vFisk6Votca8Al1Ias2ib/884km+/a6BO/NhT8x7y9jCYm2ng8ES7X1wzRqqzXNTnc9vT+PXV+c5e6XRuAVaJlfFCxJbno5G94+zs1PxBIR1/6RJ0mS2PpBGtmnf0torLyggylo6nSsez0JySBx53MJJvuyUlGkZuN7J9DW65m1OA6fUOsaSeoMySBx4PsLpOzIYejUUEbP6dPlU5Aampbv+/Y89k62TFk4gMCoru9r1x0uJBWRuOYsCoWcSQ9EEx5r3tYe6ioNh3+6xJn9ebj5OjLmjr6EW0kRjsLMKvZ/d578i5WExXox9o6+FlsdW5Ikck6XcWxzJvkXKvEMdCJ+ehh9432RW0Cl1cri39b/HcjDxlbB4EnBDL4x2KJuQrRXXY2W0wfyOLUnl6qSOrxDnImdGEzUcL9uGR1VV2k4cyCPU3vyqC6rwzfMhUETg4lK8O1RI6QNSe25Q/lcSCqiXq3DN8yF/qP8iUrww8Hl2r+dDo+Q1uq4kFxE+uECctMrsFHKiRzqQ/+R/gRHe1rt6H1H1am0ZJwo4dLxIrLPlGHQSfhFuNJnqC+RQ31w83Hg3nvvvWZ0tFcmeE+8PdViK8RZkyMbL5G2J5eH3hzfZLtBb2DNy4fxCnZmxmOxZorOukiSxA9vJaPXSdz51/h2f8E6tjmTwz9e6tIpidaoolDNd68dI6CvGzOfGHzdSUlhZhU/Lzf2uJv1x7geW+ihJSd25rBv3Xn6Dffjxge7rleeukrDri/PknmyhOgxAYyfG9Vj1lo1UFXW8+vnZ8k+VUrM+EDG3tG32+9K67R6TuzMIWlzFnKFjOG3RDBoYpDVtXWQJImLycUc+P4CNeX1DJoQxIhbIiymTYlkkLh0opikzVkUZ1fjG+5KwowwwmO9LXKtlqqinpQd2aTtzQNJYuD4IIZMCW21kJolkCSJosxq0nZf5vyxIiQkouL9GDQxCL8IV7PcsDAYJLLSSknbfZnsU2XYOdowYEwAAycE4e5rvUtWKovVnDtcyLnDBVQV1+LsYUe/kf70H+nfpUW5qkprST9SyLlDBVQUqnFyUxI1wp/oUf49slp4bbWGSynFXDpezOWz5RgkiYA+bo1J3dXruX//N/7II4/w0Ucf9b4E793Hf+aP78+wijuUlu78sUK2fXTqmpYT6UcK2P7xaeY+n9ArpieYStapUja9d6LVwjW/l5laws/vnyTh5nBGzorshgitS1ZaKZuWnyBhRjgjZ3f++vy+x93NTw62yrvapnD+WCE7Pj1NYF93ZjwWa/LE61JKMYlfnQXghvuie/QNC0mSOLU3j/3rzuPoZseUBTEE9On65uiSJHEhqYiD319EVVFP7A3BJMwMt/r1QjqtnpO/XubY5kzkchkJN4cTe0Ow2YqH6PUGzh8tJHlLFuUFaoL6uxM/I5zg/h5W8d2jrkbLiV05pO66jFajJ3p0AMOmhlrcWnqtRs/5o4Wk7c6lOLsaFy97Bk0IYsCYgGZHkMylslhN2p48zhzIo16lIzTGk0ETgwiL9baKUag6lZaLyUWcO1RA/sVKbO0U9Ik3rqsLinLv1psVkiRRlFXNuUMFnD9aSJ1Ki1ewM9Gj/Ika7me2fqimoKqs59LxYi4eLyYvvRyAwH7ujUlda7/b70dHR44ciZubW+9L8D57eRcPLr3B3OH0CCWXa/jmn0e4/c/DGnsUSQaJtf88grOHHbP+OMSs8VkbSZL4btkxlPaKNqu8NoxQBUa5d1tbAGuUtCWTQxsuMf2xQZ0qFHJ6fx6JX50jbJAXUx+x3h53ppKbXs4vK1Jx8bJn1mLT9MrT1OrY+206Zw8WEBHnzQ33RVtMYY+uVlGkZuenpynMqGLotDBG3BLRZUlJQUYl+787T8GlKsIHezP2jr64+1nWF/brpa7ScGTjJU7vy8PVx4Ext/clIs6725IqnVbP2QP5JG/Lprq0jvBYL+JnhHd538CuoqnVkbYnl5SdOdRVa+ib4Ef89DCzj5hUFKpJ25PL2YP51NfqCBvoxaCJQYQO9LLohEmn0XMhqYjU3bkUZVbh7GnHwPHGKp6W9p6n1xnIPlXKucMFZJwsQdJLhMR40n+UPxFxPhbxWWgNMbaluqzut6SuiPyLlchkMoKjPegz1IeIOJ9O/V005Du9LsH7ccVhZj8+wtzh9Ag6rZ4PntrNDfdFEzMuEDDehd+8MpXb/jzMIsqrW5tLx4vZvCq1SdJ8tYbG3pIEc5/r/sbe1kSSJLZ+mEbWqbIONX6XJIljv2RyZGMGAycEMWFelEWslbEEpbk1bPqfaXrl5aaXs/PTM9SptIyfF0X06ACrGOEwJYPeQPK2bI5uzMAzyIkpC2JM+gW6uqyOgz9c5PzRQryCnBk7t2+PX4NemmssGpNzppyg/u6MvTOqS6uvaup0nNqTR8qObNTVGvrG+xI/PQzv4J6xTlen0XPmQD7J27KoKasnIs6b+Bnh+IV33wwdg95AZqpxymPOmXLsnWwZMDaAgeODcPOxvinzRVlVpO3OJf1oIZJBos8wX2InBuHfx81s74FNRseOFVJXYz2jY9eMMtor6DPUh/6jArp9lLEtVSW1XEw2JnWFGVXIFTJCYjzpM9SXiDjv655R0WsTvN3rU5lw+yBzh9NjfPHiQSLivBl3ZxSSJLHutWPYKBXc9n+iz2BnXBkBtWfWH+OafX7zqlRyz5Vz53MJFltUwJJo6nR8/2YSWo2xymhbb54GvYHdX6dzel9ej+txZyo15XVsfO8Eqop6Zj45uMWbES3RafUc/vESKTtzCOzrzuT5A3rdusarFWdXs/2T01QWqxl1ax+GTA65ri8lmjodyVuzSNmRg9LBhlG3RhI9OsCiRzhMSZKMa6AOrL9AeaGaAaMDGHlrpEm/pNaptJzcdZmTv+agrdfTf5Q/w6aG9biR0QZ6vYH0w4Ukb82iolBNcLQH8TPCCern3mXvkarKes7sz+PU3jxqyuvxi3AldmIQfeJ9rbaq7u/VqbScPZhP2u5cKotr8QpyZtDEIPqN8Ou2tbnVZXW/9asroLxAjaObkn4jjOvqLLWabmsa1wkeyqeqpK7b1gm2pqJQzcXjRVxMLqY4uxqFrZzQGE/6DPMlfLC3SSvX9toEL3l3OkMnRJk7nB7jp/8mcSBlFwk3hzMsajybV5xi9lNDrKpstaU5d7iAHZ+c5va/DGV/8k4A5syZg42NjbHP26YMZj4xmPDB5q3AZ00qi9V8t+wYfhGuzFwUh8GgZ8OGDcCVawvGXlvbPkoj+1QZN9wfzYAxPa/HnanUq7VsXplKQUYVUx8aSORQ45o5nU7X7LVtUJxTzY5PTlNRpGbU7D7ETQnpNUlHW3RaPYd+vMSJhsR3wQBcvZomvm1dX4NB4uzBfA7/eIl6tY4hU0IYNj2s15YX1+sNnN6bx5GNGeh0BuKnhTJkSmizFQ3burYNVJX1nNiRQ9qeXCSDRMy4QIbcFGoVjexNwWCQuHS8mKQtmZTk1OAf6Ur89HDCWqnA2t5rC1easqfuzuVScjFyhYx+I/wYNDG4x1YvlgwSl8+Wk7r7MpknS7CxUxA9KoBBE4LarI7dkWvbQFOr4+Jx44hXT61Q2ZlKn1frzLVtUJan+i2pK6I0V4WNUk7YIG/6DPMhbJBXl70n99oE76tPv+He+XeZO5we492ln/HMPxYA8NKjyxkUMZw7n0sQIx7XwaA38NXSQ+TUnOJv7/4BgO3bt9PHJ45fVqQyYlYEw2dGmDlK65N92ljEZujUMFQuGY1lmrdv386UKVOordawaflJyvJVzPjDIEIH9twed6ai1xrY8dlpLvyuV96OHTuuubZg/FJ4fFsWRzZm4BHgxE0LTTsVsSfJPVfOjs9OU6/WMf6ufkSPvtIcvaXrC3D5XDn7152nJKeGqARfRt3W55oEsbeqU2k5tjmT1F2XcXRVMvq2PkQN92vyWdXatQXj1Krj27I5cyAfhY2MQTcEE3djiMWtn+ouDaOkSZuzKLhUiVeQM/EzwugzzPeaBKGtawvGUef0wwWk7s6lLE+Fu58jgyYEET3av1f1d60uq+P0vjxO7cujtkpDUD93Bk0MJmKId7OVbttzbYEmPeYyUorR9aIec+3t1Xe19l5bMP57KM2tMU6/TC6ivECNrb2C8Fhv+g7zJWSgZ7esCzRlgtepv4jly5fz5ptvUlBQQFxcHO+99x4jRrS8Nu67777jxRdfJDMzk6ioKF5//XVuvvnmDp93846N3HrnzMafHR0dRTLSAZIkoVarG3/em7y18b+3793EXQ/d3Pi8uLYd8/trO2CiLyue+mfjc5998iUj3HUED/BgwAQfJEkS17YDJEnCK8yeuBkBHPzxLAdL1zQ+t3btWmL6GpNnbb2e2/80Ar9w6yyK0N0UtnJuWhiDwl7Pji9PUFJQxtc7rvTiWbt2LaNHj6ayWM2uL89RcbmeYdPCjcVEzNDY2VoE9ffg7hdHsu+bdHZ+dpqzR7MZP68fDi5K1q5d27hfw/WtKFRz+KeL5J1R4R/pxh1/ibfawh5dxd7JlnF3RjFofBAHf7jI9o9Pc+LXHIbNDGq8Vs1dW4DyQhVndhdz/mgRdo42v1XpDOpVSUdzZDIZ4bHehA3yIv9CBcc2Z7Hto1O4+V5i6NRQQmJdG4sGtXRtAWrLDZzam8e5QwXotAbjso+7oqym6qipuXjaM3J2JAk3h3MppZi03bls/TANRzclMeMCiRkbgNzO0Lh/a9fWwcGB0lyVcQrmkUJqqzR4BDgx/JYI+o3ww9mjd4w6K2zl9BnmS59hvtTWaLhwrIizhwrY+mEaSgcb+sb70n+UP/6RrtTW1ja+rrVr6+honIpdnF3NxWTj9MvK4lrsHG2IGOzNmNv7EjzAw6qnEnd4BO+bb77hwQcfZOXKlYwcOZJ33nmH7777jnPnzuHre22luwMHDjBhwgSWLVvGLbfcwpo1a3j99ddJTk5m0KD2radryGibO/bv/w8TWnfgwAHGjh3b7n3FtW0/cW27jri2Xacj1/anb7cya+7ULo6oZ/nu05+5a+Et7dp37Ucbueuhmb3yS3FH5Z4rZ/Xb61n6waPt2v9v969k7oKbiRkX2C0Ns61VUVYVSZuz2LElkbd/fKpdr1ly638Z1G8oMeMDGTgusNckHR1RmltD2p5czh0qID3nJG/90L5r+/dHPsRLEYmDiy1Rw/2IHhWAd4izeI/4TXmBMfk9d7iAmrJ6CuvO88pnj7frtSv++Q2OqmCqy+qwd7Ilcog3fYb5EtTfw2wtWsC0I3hIHTRixAhp0aJFjT/r9XopMDBQWrZsWbP733XXXdLMmTObbBs5cqT02GOPtfuclZWVEnDN4/HHH+9o+L3aY4891ux1FNf2+olr23XEte064tp2LXF9u84f/vCHdl/bx/7Q/u8bgiTNv/+hdl/be+6YL+l0enOHbBXq1Vpp7qz7231tZ068S8o4WSyubxsMeoN0+VyZdMuku9p9bW+Iu1VK/OqslHOmVNJb0PVtyHcqKyuv+1gdGsHTaDQ4Ojqybt065syZ07h9/vz5VFRU8OOPP17zmtDQUJYsWcIzzzzTuG3p0qVs2LCBEydONHue+vp66uvrG3+urKwkNDS0yT7h4eH8/PPPBAcHtzf8Xi8nJ4dbbrmFzMzMVvcT17bjxLXtOuLadh1xbbuWuL5dR1zbriOubddp77UNCwvnl1/Ete2InJwcbpl5C5lZma3uFxIUyi9bfiE0NKR7AuuAqqoqQkJCqKioaHbmYod0JBvMzc2VAOnAgQNNtj/77LPSiBEjmn2Nra2ttGbNmibbli9fLvn6+rZ4nqVLl7Y7CxcP8RAP8RAP8RAP8RAP8RAP8egJj4sXL3YkPWuWRZbdef7551myZEnjzxUVFYSFhZGdnX39GW0Xa8i+c3Jyrn/+bDewpnitKVYQ8XYla4oVrCtea4oVuife7du3891331FVVcWCBQuYPn16p49lTdfXmmIF64rXmmIF64rXmmIFEW9XsqZY4cqMRU/P629X1qEEz9vbG4VCQWFhYZPthYWF+Pv7N/saf3//Du0PYGdnh53dtQ1N3dzcrOL/IABXV1eriRWsK15rihVEvF3JmmIF64rXmmKFrou3uLiYBx98kJSUFEaNGsXs2bNNch5rur7WFCtYV7zWFCtYV7zWFCuIeLuSNcUKIJdff6GXDh1BqVQSHx/Pzp07G7cZDAZ27tzZYuW60aNHN9kfjHdDRaU7QRAEwdL9+OOPBAcHExUVRWlpKY8/3r4qbYIgCIJgLh2eorlkyRLmz59PQkICI0aM4J133kGlUrFw4UIAHnzwQYKCgli2bBkATz/9NBMnTuStt95i5syZrF27lmPHjvHBBx+Y9jcRBEEQBBPbt28f48aNM3cYgiAIgtBuHR4DnDdvHv/+97956aWXGDJkCCkpKWzZsgU/Pz8AsrOzyc/Pb9x/zJgxrFmzhg8++IC4uDjWrVvHhg0b2t0DD4xTNpcuXdrstE1LY02xgnXFa02xgoi3K1lTrGBd8VpTrNB18e7cuZP777+fdevWkZ6ezv33309iYuJ1H9earq81xQrWFa81xQrWFa81xQoi3q5kTbGCaePtcKNzQRAEQegNdDodTk5O7N69m1GjRpk7HEEQBEFoF/O1axcEQRAEC5aeno5Wq+3QjBNBEARBMDeR4AmCIAhCM9LS0ggPD8fZ2dncoQiCIAhCu4kETxAEQRCakZaWRmxsrLnDEARBEIQOEQmeIAiCIDQjLS1NTM8UBEEQrI7FJ3jLly8nPDwce3t7Ro4cyZEjR8wdUrP27NnDrFmzCAwMRCaTsWHDBnOH1Kply5YxfPhwXFxc8PX1Zc6cOZw7d87cYTVrxYoVDB48uLFR5ejRo9m8ebO5w2qX1157DZlMxjPPPGPuUJr18ssvI5PJmjyio6PNHVarcnNzuf/++/Hy8sLBwYHY2FiOHTtm7rCaFR4efs31lclkLFq0yNyhXUOv1/Piiy8SERGBg4MDffr04ZVXXsFS63BVV1fzzDPPEBYWhoODA2PGjOHo0aMmPceJEyc6leC19XkgSRIvvfQSAQEBODg4MGXKFM6fP2+iqDuurXi///57pk6dipeXFzKZjJSUFLPECa3HqtVq+etf/0psbCxOTk4EBgby4IMPkpeXZ5HxgvE9ODo6GicnJzw8PJgyZQqHDx82T7B07LvM448/jkwm45133um2+H6vrVgXLFhwzXvv9OnTzRIrtO/anjlzhtmzZ+Pm5oaTkxPDhw8nOzvb4mJt7nNNJpPx5ptvdnus7Ym3pqaGxYsXExwcjIODAzExMaxcudIiYy0sLGTBggUEBgbi6OjI9OnTO/X5YNEJ3jfffMOSJUtYunQpycnJxMXFMW3aNIqKiswd2jVUKhVxcXEsX77c3KG0y+7du1m0aBGHDh1i+/btaLVapk6dikqlMndo1wgODua1114jKSmJY8eOceONN3Lrrbdy6tQpc4fWqqNHj7Jq1SoGDx5s7lBaNXDgQPLz8xsf+/btM3dILSovL2fs2LHY2tqyefNmTp8+zVtvvYWHh4e5Q2vW0aNHm1zb7du3AzB37lwzR3at119/nRUrVvC///2PM2fO8Prrr/PGG2/w3nvvmTu0Zj3yyCNs376dL774gtTUVKZOncqUKVPIzc01yfGrqqrIyMhg6NChHX5tW58Hb7zxBv/9739ZuXIlhw8fxsnJiWnTplFXV3e9YXdKW/GqVCrGjRvH66+/3s2RNR9LS7Gq1WqSk5N58cUXSU5O5vvvv+fcuXPMnj3bDJEatXVt+/Xrx//+9z9SU1PZt28f4eHhTJ06leLi4m6O1Ki932V++OEHDh06RGBgYDdFdq32xDp9+vQm78Fff/11N0bYVFvxXrx4kXHjxhEdHU1iYiInT57kxRdfxN7evpsjbTvW31/T/Px8Pv74Y2QyGXfccUc3R2rUVrxLlixhy5YtfPnll5w5c4ZnnnmGxYsX89NPP3VzpK3HKkkSc+bM4dKlS/z4448cP36csLAwpkyZ0vHv55IFGzFihLRo0aLGn/V6vRQYGCgtW7bMjFG1DZB++OEHc4fRIUVFRRIg7d6929yhtIuHh4f00UcfmTuMFlVXV0tRUVHS9u3bpYkTJ0pPP/20uUNq1tKlS6W4uDhzh9Fuf/3rX6Vx48aZO4xOe/rpp6U+ffpIBoPB3KFcY+bMmdJDDz3UZNvtt98u3XfffWaKqGVqtVpSKBTSpk2bmmwfNmyY9Le//c0k59i7d68UGBh43ce5+vPAYDBI/v7+0ptvvtm4raKiQrKzs5O+/vrr6z7f9Wrt8ysjI0MCpOPHj3drTC1pz2ftkSNHJEDKysrqnqBa0Z54KysrJUDasWNH9wTVipbivXz5shQUFCSlpaVJYWFh0n/+859uj+1qzcU6f/586dZbbzVLPG1pLt558+ZJ999/v3kCakV7/m5vvfVW6cYbb+yegNrQXLwDBw6U/vGPfzTZZsrPi866OtZz585JgJSWlta4Ta/XSz4+PtKHH37YoWNb7AieRqMhKSmJKVOmNG6Ty+VMmTKFgwcPmjGynqmyshIAT09PM0fSOr1ez9q1a1GpVIwePdrc4bRo0aJFzJw5s8nfr6U6f/48gYGBREZGct9995llOkh7/fTTTyQkJDB37lx8fX0ZOnQoH374obnDaheNRsOXX37JQw89hEwmM3c41xgzZgw7d+4kPT0dME5P3LdvHzNmzDBzZNfS6XTo9fpr7mw7ODhc9wj0K6+8wqZNmzh+/HiX/O4ZGRkUFBQ0eW9wc3Nj5MiR4rOtC1RWViKTyXB3dzd3KG3SaDR88MEHuLm5ERcXZ+5wmmUwGHjggQd49tlnGThwoLnDaVNiYiK+vr7079+fJ554gtLSUnOH1CyDwcDPP/9Mv379mDZtGr6+vowcOdLil/uAcUrhzz//zMMPP2zuUFo0ZswYfvrpJ3Jzc5EkiV27dpGens7UqVPNHVoT9fX1AE0+2+RyOXZ2dh3+bLPYBK+kpAS9Xo+fn1+T7X5+fhQUFJgpqp7JYDDwzDPPMHbsWIstKJCamoqzszN2dnY8/vjj/PDDD8TExJg7rGatXbuW5ORkli1bZu5Q2jRy5Eg+/fRTtmzZwooVK8jIyGD8+PFUV1ebO7RmXbp0iRUrVhAVFcXWrVt54okneOqpp/jss8/MHVqbNmzYQEVFBQsWLDB3KM167rnnuPvuu4mOjsbW1pahQ4fyzDPPcN9995k7tGu4uLgwevRoXnnlFfLy8tDr9Xz55ZccPHiQ/Pz8Th+3pKSEl19+mYKCAnbt2sXixYtNGLVRw+eX+GzrenV1dfz1r3/lnnvuwdXV1dzhtGjTpk04Oztjb2/Pf/7zH7Zv3463t7e5w2rW66+/jo2NDU899ZS5Q2nT9OnT+fzzz9m5cyevv/46u3fvZsaMGej1enOHdo2ioiJqamp47bXXmD59Otu2beO2227j9ttvZ/fu3eYOr1WfffYZLi4u3H777eYOpUXvvfceMTExBAcHo1QqmT59OsuXL2fChAnmDq2J6OhoQkNDef755ykvL0ej0fD6669z+fLlDn+22XRRjIIVWbRoEWlpaRa99qp///6kpKRQWVnJunXrmD9/Prt377a4JC8nJ4enn36a7du3m2XefEf9foRi8ODBjBw5krCwML799luLvBtnMBhISEjgX//6FwBDhw4lLS2NlStXMn/+fDNH17rVq1czY8YMs65Zac23337LV199xZo1axg4cCApKSk888wzBAYGWuS1/eKLL3jooYcICgpCoVAwbNgw7rnnHpKSkjp9TC8vLx599FGys7O54YYbGDJkiOkCFrqVVqvlrrvuQpIkVqxYYe5wWjVp0iRSUlIoKSnhww8/5K677uLw4cP4+vqaO7QmkpKSePfdd0lOTrbIWQhXu/vuuxv/OzY2lsGDB9OnTx8SExOZPHmyGSO7lsFgAODWW2/lT3/6EwBDhgzhwIEDrFy5kokTJ5ozvFZ9/PHH3HfffRb9nee9997j0KFD/PTTT4SFhbFnzx4WLVpEYGCgRc20srW15fvvv+fhhx/G09MThULBlClTmDFjRocLnllsguft7Y1CoaCwsLDJ9sLCQvz9/c0UVc+zePFiNm3axJ49ewgODjZ3OC1SKpX07dsXgPj4eI4ePcq7777LqlWrzBxZU0lJSRQVFTFs2LDGbXq9nj179vC///2P+vp6FAqFGSNsnbu7O/369ePChQvmDqVZAQEB1yT1AwYMYP369WaKqH2ysrLYsWMH33//vblDadGzzz7bOIoHxi9EWVlZLFu2zCITvD59+rB7925UKhVVVVUEBAQwb948IiMjO31MmUzW5ZXVGj6/CgsLCQgIaNxeWFgoEkoTaUjusrKy+PXXXy169A7AycmJvn370rdvX0aNGkVUVBSrV6/m+eefN3doTezdu5eioiJCQ0Mbt+n1ev7v//6Pd955h8zMTPMF1w6RkZF4e3tz4cIFi0vwvL29sbGxafbzzZJvvu/du5dz587xzTffmDuUFtXW1vLCCy/www8/MHPmTMB4QzslJYV///vfFpXggfE7bsOAhkajwcfHh5EjR5KQkNCh41jsFE2lUkl8fDw7d+5s3GYwGNi5c6dFr72yFpIksXjxYn744Qd+/fVXIiIizB1ShxgMhsa5ypZk8uTJpKamkpKS0vhISEjgvvvuIyUlxaKTOzCWEr548WKTL56WZOzYsde080hPTycsLMxMEbXPJ598gq+vb+OHiyVSq9XI5U0/EhQKReOdZUvl5OREQEAA5eXlbN26lVtvvdXcIbUqIiICf3//Jp9tVVVVHD58WHy2mUBDcnf+/Hl27NiBl5eXuUPqMEv9fHvggQc4efJkk8+3wMBAnn32WbZu3Wru8Np0+fJlSktLLfLzTalUMnz4cKv7fFu9ejXx8fEWu2YUjO8JWq3W6j7f3Nzc8PHx4fz58xw7dqzDn20WO4IHxrKm8+fPJyEhgREjRvDOO++gUqlYuHChuUO7Rk1NTZNRj4yMDFJSUvD09Gxyt8tSLFq0iDVr1vDjjz/i4uLSuPbDzc0NBwcHM0fX1PPPP8+MGTMIDQ2lurqaNWvWkJiYaJEfKC4uLtesY3RycsLLy8si1zf++c9/ZtasWYSFhZGXl8fSpUtRKBTcc8895g6tWX/6058YM2YM//rXv7jrrrs4cuQIH3zwAR988IG5Q2uRwWDgk08+Yf78+djYWO5b7qxZs3j11VcJDQ1l4MCBHD9+nLfffpuHHnrI3KE1a+vWrUiSRP/+/blw4QLPPvss0dHRFvH50NbnwTPPPMM///lPoqKiiIiI4MUXXyQwMJA5c+ZYZLxlZWVkZ2c39pNr+BLq7+/f7TNqWos1ICCAO++8k+TkZDZt2oRer2/8bPP09ESpVHZrrG3F6+Xlxauvvsrs2bMJCAigpKSE5cuXk5uba7ZWKm39LVydMNva2uLv70///v27O9RWY/X09OTvf/87d9xxB/7+/ly8eJG//OUv9O3bl2nTpnV7rG3FGxoayrPPPsu8efOYMGECkyZNYsuWLWzcuJHExESLixWMN6a+++473nrrrW6P72ptxTtx4kSeffZZHBwcCAsLY/fu3Xz++ee8/fbbFhfrd999h4+PD6GhoaSmpvL0008zZ86cjheEMUGVzy713nvvSaGhoZJSqZRGjBghHTp0yNwhNWvXrl0ScM1j/vz55g6tWc3FCkiffPKJuUO7xkMPPSSFhYVJSqVS8vHxkSZPnixt27bN3GG1myW3SZg3b54UEBAgKZVKKSgoSJo3b5504cIFc4fVqo0bN0qDBg2S7OzspOjoaOmDDz4wd0it2rp1qwRI586dM3coraqqqpKefvppKTQ0VLK3t5ciIyOlv/3tb1J9fb25Q2vWN998I0VGRkpKpVLy9/eXFi1aJFVUVJg7LEmS2v48MBgM0osvvij5+flJdnZ20uTJk83699FWvJ988kmzzy9dutSiYm1o49DcY9euXd0ea1vx1tbWSrfddpsUGBgoKZVKKSAgQJo9e7Z05MgRs8TaVrzNMWebhNZiVavV0tSpUyUfHx/J1tZWCgsLkx599FGpoKDALLG2FW+D1atXS3379pXs7e2luLg4acOGDRYb66pVqyQHBweLeN9tK978/HxpwYIFUmBgoGRvby/1799feuutt8zSsqitWN99910pODhYsrW1lUJDQ6X/9//+X6c+h2WS1MFVe4IgCIIgCIIgCIJFstz5QoIgCILQhUxRCVDcIxUEQRAsjUjwBEEQhF5JJGeCIAhCT2SxVTQFQRAEQRAEQRCEjhEJniAIgiD8zubNm3nggQeYPXs2mzZtMnc4giAIgtAhYoqmIAiCIPymuLiYO++8k5SUFEaNGsXNN99s7pAEQRAEoUNEgicIgiAIv/nxxx8JDg4mKiqK0tJSc4cjCIIgCB0mpmgKgiAIwm/27dvHuHHjzB2GIAiCIHSaSPAEQRCEXm/nzp3cf//9rFu3jvT0dO6//34SExPNHZYgCIIgdJhodC4IgiAIgE6nw8nJid27dzNq1ChzhyMIgiAInSJG8ARBEAQBSE9PR6vVMmjQoCbbjx8/zpIlS8wUlSAIgiB0jCiyIgiCIAhAWloa4eHhODs7N2577bXXOHz4MG5ubmaMTBAEQRDaT4zgCYIgCALGBC82NrbJtueee45bb73VTBEJgiAIQseJBE8QBEEQMCZ4V0/PFARBEARrIxI8QRAEQQBOnDghEjxBEATB6okETxAEQej1qqqqyMjIYOjQoeYORRAEQRCui0jwBEEQhF7v5MmTBAQEEB0dbe5QBEEQBOG6iCqagiAIQq/1yiuvMHToUDIyMpgxY4a5wxEEQRCE6yZG8ARBEIReqaSkhJdffpmCggJ27drF4sWLr9nnP//5D6tXr2bXrl0sXbqUsrIyM0QqCIIgCO0nkyRJMncQgiAIgtDdJEniiSeewNfXF29vb5566ilzhyQIgiAI100keIIgCIIgCIIgCD2EmKIpCIIgCIIgCILQQ4gETxAEQRAEQRAEoYcQCZ4gCIIgCIIgCEIPIRI8QRAEQRAEQRCEHkIkeIIgCIIgCIIgCD2ESPAEQRAEQRAEQRB6CJHgCYIgCIIgCIIg9BAiwRMEQRAEQRAEQeghRIInCIIgCIIgCILQQ4gETxAEQRAEQRAEoYcQCZ4gCIIgCIIgCEIPIRI8QRAEQRAEQRCEHkIkeIIgCIIgCIIgCD3E/wdrerZeTho9jQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "from os import linesep\n",
        "import numpy as np\n",
        "from scipy.io.wavfile import write\n",
        "from moviepy.editor import *\n",
        "from numpy import linspace,logspace,cos,sin,pi,heaviside,fft,angle,abs,int16,array\n",
        "import matplotlib as mpl\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib import animation\n",
        "plt.rcParams.update({'font.family':\"sans serif\",'animation.html':'jshtml',\n",
        "                     'mathtext.fontset':'cm'})\n",
        "#functions\n",
        "def v3level(t,w,alpha): #3-level square waveform with firing angle theta in deg\n",
        "  return (heaviside(sin(w*t),0)*2-1)*heaviside(abs(sin(w*t))-sin(alpha/180*pi),0)\n",
        "\n",
        "def v(t,w,alpha): #square waveform with firing angle theta in deg\n",
        "  return v3level(t,w,0)-2*v3level(t,w,alpha)\n",
        "\n",
        "def Vn(alpha,n):\n",
        "  return 4/(pi*n)*abs(1-2*cos(n*alpha/180*pi))\n",
        "\n",
        "def spectrum(xt): #spectrum - magnitude and angle\n",
        "  xfft = fft.rfft(xt)\n",
        "  xfft_angle = angle(xfft)\n",
        "  xfft_mag = abs(xfft)/len(xt)*2\n",
        "  xfft_mag[0]=xfft_mag[0]*0.5 #adjust the dc component\n",
        "  return xfft_mag,xfft_angle\n",
        "\n",
        "#parameters\n",
        "Nf = 250 # number of frames\n",
        "fm = 400 # fundamental frequency\n",
        "Np = 4096*2 # number of points for time series\n",
        "alpha = linspace(0,90,Nf)\n",
        "t=linspace(0,1/fm,Np)\n",
        "w=2*pi*fm\n",
        "fser = linspace(0,int(Np/2),int(Np/2)+1)#frequency series\n",
        "sr = 44100 #sampling rate\n",
        "fps = 25 #frames per second\n",
        "tpf = 1/fps # time per frame\n",
        "tsnd=linspace(0,tpf,int(tpf*sr)) #time series for sampling\n",
        "soundTrack=[]\n",
        "for k in range(Nf):\n",
        "  soundTrack.extend(int16(v(tsnd,w,alpha[k])*32767))\n",
        "\n",
        "#set up figures\n",
        "fig = plt.figure(figsize=(9,16))\n",
        "fig.tight_layout()\n",
        "ax_frame = [[[.05,.725, .92,.25], [-.1*pi,2*pi], [-1.2,1.2]], # v(t)\n",
        "            [[.05,.3,.92,.38], [0,90], [-.05,1.3]], # V1,3,5,....\n",
        "            [[.05, 0.05, .92,.2], [0,19], [0,1.5]], # V_fft\n",
        "            ]# [pos-boundary, xlim, ylim] for subplots\n",
        "ax_lbl = [['$v(t)$', r'$\\omega t$'],\n",
        "          [r'Harmonic Amplitudes: $V_n=\\frac{4}{n\\pi}|1-2\\cos(n\\alpha)|$',r'$\\alpha (deg)$'],\n",
        "          ['Spectrum $V_{fft}$',r'$\\frac{f}{f_1}$']]\n",
        "clst = list(mpl.cm.tab10.colors) #colors of lines\n",
        "ax_lst,ylabels=[],[]\n",
        "for k in range(len(ax_frame)):\n",
        "  xn,xm,yn,ym = ax_frame[k][1]+ax_frame[k][2]\n",
        "  ax=fig.add_axes(ax_frame[k][0],xlim=[xn,xm], ylim=[yn,ym],fc='none') #no fc\n",
        "  ax_lst.append(ax)\n",
        "  if k<1:\n",
        "    ax.axis('off') #turn off axis frames\n",
        "    ax.annotate(\"\", (xm, 0), (xn, 0),arrowprops={'arrowstyle':\"->\"}) #x-axis\n",
        "    ax.annotate(\"\", (0,ym), (0,yn),arrowprops={'arrowstyle':\"->\"}) #y-axis\n",
        "    ax.text(xm,0,ax_lbl[k][-1],size=20, va='top', ha='right') #x-axis label\n",
        "    ylabels.append(ax.text(0,ym,ax_lbl[k][0], size=20)) #y-axis label\n",
        "  else:\n",
        "    ax.text(.5*xm,yn,ax_lbl[k][-1],size=18, va='top', ha='center') #x-axis label\n",
        "    ylabels.append(ax.text(0,ym+.05,ax_lbl[k][0], size=25)) #y-axis label\n",
        "\n",
        "line_vt = ax_lst[0].plot([],[],color=clst[0],lw=3)[0] #square waveform\n",
        "lines_Vn = [ax_lst[1].plot([],[],color=clst[k],lw=3)[0] for k in range(9)] #square waveform\n",
        "line_Vfft = ax_lst[-1].plot([],[],color=clst[4],lw=1,marker='*',mew=1.5,\n",
        "                             mec='k',mfc='k',ms=7)[0] #spectrum\n",
        "ylabels[0].set_va('top')\n",
        "ax_lst[-1].set_xticks(linspace(0,19,20))\n",
        "texts_alpha=ax_lst[0].text(0,0,'',size=16,va='top',rotation=-90)\n",
        "texts_Vn=[ax_lst[1].text(0,0,'',size=16,va='center',color=clst[k]) for k in range(9)]\n",
        "texts_spectr=[ax_lst[-1].text(0,0,'',size=16,ha='center',color=clst[k]) for k in range(9)]\n",
        "\n",
        "def animate(i):\n",
        "  vt = v(t,w,alpha[i])\n",
        "  texts_alpha.set_position([alpha[i]/180*pi,-.03])\n",
        "  texts_alpha.set_text(rf'$\\alpha={alpha[i]:.2f}^\\circ$')\n",
        "  v_fft = spectrum(vt)\n",
        "  line_vt.set_data(w*t,vt)\n",
        "  line_Vfft.set_data(fser[:20],v_fft[0][:20])\n",
        "  for k in range(9):\n",
        "    lines_Vn[k].set_data(alpha[:i+1],Vn(alpha[:i+1],2*k+1))\n",
        "    texts_Vn[k].set_position([alpha[i],Vn(alpha[i],2*k+1)])\n",
        "    texts_Vn[k].set_text(f'$V_{2*k+1:.0f}={Vn(alpha[i],2*k+1):.3f}$')\n",
        "    texts_spectr[k].set_position([fser[k*2+1],v_fft[0][k*2+1]+.04])\n",
        "    texts_spectr[k].set_text(f'${v_fft[0][k*2+1]:.3f}$')\n",
        "  return\n",
        "\n",
        "anim = animation.FuncAnimation(fig, animate, frames=Nf, interval=50)\n",
        "# anim #uncomment to generate animation in the output area\n",
        "# to save the animation, uncomment the following line\n",
        "fn = \"SquareWaveformSpectrumAndSound_2level\"\n",
        "anim.save(fn+'.mp4', writer=animation.FFMpegWriter(fps=fps), dpi = 200)\n",
        "write(fn+'.wav', sr,array(soundTrack))\n",
        "audio = AudioFileClip(fn+'.wav',fps=sr)\n",
        "video = VideoFileClip(fn+'.mp4')\n",
        "final = video.set_audio(audio)\n",
        "final.write_videofile(fn+\"Final.mp4\")"
      ]
    }
  ]
}