{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "name": "Week 1 Exercise Answer.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "zX4Kg8DUTKWO"
      },
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "t9HrvPfrSlzS",
        "outputId": "98d42f16-05b8-44d7-f428-445fc3887809"
      },
      "source": [
        "import tensorflow as tf\n",
        "print(tf.__version__)\n"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "2.5.0\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "gqWabzlJ63nL",
        "outputId": "d0678e71-1878-4ced-d8ab-442e0a162d03"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import tensorflow as tf\n",
        "from tensorflow import keras\n",
        "\n",
        "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
        "    plt.plot(time[start:end], series[start:end], format)\n",
        "    plt.xlabel(\"Time\")\n",
        "    plt.ylabel(\"Value\")\n",
        "    plt.grid(True)\n",
        "\n",
        "def trend(time, slope=0):\n",
        "    return slope * time\n",
        "\n",
        "def seasonal_pattern(season_time):\n",
        "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
        "    return np.where(season_time < 0.1,\n",
        "                    np.cos(season_time * 7 * np.pi),\n",
        "                    1 / np.exp(5 * season_time))\n",
        "\n",
        "def seasonality(time, period, amplitude=1, phase=0):\n",
        "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
        "    season_time = ((time + phase) % period) / period\n",
        "    return amplitude * seasonal_pattern(season_time)\n",
        "\n",
        "def noise(time, noise_level=1, seed=None):\n",
        "    rnd = np.random.RandomState(seed)\n",
        "    return rnd.randn(len(time)) * noise_level\n",
        "\n",
        "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n",
        "baseline = 10\n",
        "series = trend(time, 0.1)  \n",
        "baseline = 10\n",
        "amplitude = 40\n",
        "slope = 0.01\n",
        "noise_level = 2\n",
        "\n",
        "# Create the series\n",
        "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
        "# Update with noise\n",
        "series += noise(time, noise_level, seed=42)\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time, series)\n",
        "plt.show()"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UfdyqJJ1VZVu"
      },
      "source": [
        "Now that we have the time series, let's split it so we can start forecasting"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 759
        },
        "id": "_w0eKap5uFNP",
        "outputId": "f7fd6b6e-695b-4af9-8e85-80f2103e5ab2"
      },
      "source": [
        "split_time = 1100\n",
        "time_train = time[:split_time]\n",
        "x_train = series[:split_time]\n",
        "time_valid = time[split_time:]\n",
        "x_valid = series[split_time:]\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_train, x_train)\n",
        "plt.show()\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plt.show()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "bjD8ncEZbjEW"
      },
      "source": [
        "# Naive Forecast"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Pj_-uCeYxcAb"
      },
      "source": [
        "naive_forecast = series[split_time - 1:-1]"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "JtxwHj9Ig0jT",
        "outputId": "ddb9bbfe-cde7-4c20-a641-e09b1d35658b"
      },
      "source": [
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, naive_forecast)"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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p47UIhH0uhnIe82COa7xsDSGP+QL1eruoy/WxMWJaSrysV5uDMhJ4CSGEECB9vBaFsM/DUCnjNcfZJa3B5UTuO3QXAO9wPQ/AC3nz+Pilxm8+vJv7fvUg/PBDkM/M1VCFEEKIeWfXSHG9BF5n4JzWMKOEyfsa4egLc3pts1ZtOtc/mzYF9JemnyFv+Xkl12YOyh4beN215QgjLz8Ar/0SRvbO6XiFEEKI+STF9YvAG85pQimLvZErYO/DYNunflOFaK1xOb8/YjcxroP47BSx4HLGdci8MGmpUWvNQDyLPzNgnkj0z9lYhRBCiPmktTaNxyXjtbDVB71c1FnPr7LrITkA/dvm7NoasJx2EjaKnXo5AKlwF1k8aMvD5l0HuOvuOxn7z8+QeeU+0rk84fyQOUFiYM7GKoQQQswn7dyLJkuNi8A1a1u4Y8gpZt+7ac6ua2uNywm8XC6L7fYKALJ1KwFFwRtl54EjeLfeTv0rtxO4+3fYaL1Ekz1qTiCBlxBCiLOE7URestS4CFy7tpl+3cB49FzYM5eB18QXqKMuwF7LBF52wyoAMlaIiEqz3Jtgt21qwFapHlpVKfCSpUYhhBBnB7uU8aqByEsCrzN0cWc97VE/D3ElHHgchuemaN1sfWC+SRcua8TqehNEl2Ivex0ACYJESNHhjrFHLyHjirBCDdCmTp3xGoxnyaRTEO+r+ucQQgghqq2U8aqBlUYJvM6U22XxkatX8JWBq7EtLzz773NyXVNcb75IN1y8lL/5xA3wx9vxta0FYNQOElUp6u0xBnU9PaqNddZBwsppI5GcPvD6wLee5Nkf/QP829UTC+NCCCHEAlUKvFw1EHlJ4FUBH75yOTF3I1uj18HWOyA9VvVrmi2DHGrixxjxm+03hwo+Gonhy48zpOvYmWvmIrVv4gTTZLy01vSMZbDiRyA9ArlklT6BEEIIMTdsKa5fXBpCXt52fhu3Jd8A+SQcfrbq15xcXD85d1oKvPqzXpapQQDi7kYO2i34VAGAUf+yaWu8sgWboq2x8k7AJdsOCSGEWOBkqXERWtEU5KVkg3kQO1r1600urp+c8fK5XfjcFjEdxKOKAFiRVg7qtvIxh31rIDUCxfwJ541nTHDmzjtbIM1g2yGtNY++Noju3w5jh0/zEwkhhBDVoZ02m5LxWkTao3767Dq0siDWW/XraTQWzjfpuC9SxO8hpoPlx976Dg7p1vLj16xVgIbk0AnnTWZN4OUppswTx207NJUXDo3y0e8+R+pHH4df/cUsP4kQQghRXdJOYhFqrwtQxEUh0AKxnqpfz+zVWCp8P/abFA24iTMReEWaOzjkZLyyysfuYrt5YYoC+4QTePmKM19qHE7kALDSwzB2cDYfQwghhKi6cuBVA5GXBF4V0lHnByDpa5uTpcZjdllXx/4YI34PcQLlx42tnfTqRmzlJu5uZn/G2VJoigL7UuDl19NnvB7e2c+N//oo9i1vhj2byu9x5RNzEnQKIYQQs2GXS6Il8Fo02qIm8Br3NEO8+kuNtgZXOfA6LuPldxMr7dfoi7K0pZEiLlLBDlL+FvYmTTZs5MH/Dff+4TEtIxJOjVdQp80TUwReWw+NcfDwYayeF2DHfSSyBSxsvHbaBHMFkwHr3jXAdzZtg3t+HxKDFfz0QgghxMxpWWpcfJpCXjwuxaBqnpOsj601ilIIf+yPMer3ECstNYZbuaKrkY+9vgt17RfY1fUReooRABoHnoGt34e+l8vvTeZM4BXCCbymWGqMZwpElJMR69lKPFMgXDoeXQ48/+9LvTz51KPw0g/h0NMV+NRCCCHE7Ek7iUXIshRtUT89doMJVrLxql5PA65ycf3xS41u4tpZagy14ve4+Ksb1hO68rdp3PDrrGhv4bXgZdxW+DW05YFXflp+bzxTQGETxmm0OsVdjYnspECr/1XS6eSkwIty4JkpFNF55zz5VPnlXX1x4mODMLjr9CdACCGEmCEprl+kOur8HMjXmwdVvrPxmBovjr+r0U0MZ6kx3HrMa5evaOD+z1xD+OZf8HfFj7AnehXZrT+lcOh5GD1IIlsgSLa8HdFUS43JbIFQqQO+XSAyupOwmhx4mRq3bN5GFY8NvIq25v3/9iQ77/xLuO3t0hlfCCFE1U308Zr/yEsCrwpqi/rZmzHLeNUusJ+8V+NUS43ljNdxgVfJkvoAV3Y18vWBS/Cl+3B/963ws983QVUp2wVTLjUmsgUikzJcTbHtU2a8soUiPu30Csub1wfjWVK5It7x/ZAZg6TUfgkhhKguLUuNi1NHnZ9XE2HzoMp1XvakvRqPL65f1hik6I2gfXXQvHbac/zpO85j6VUf5NuFd9EXWQ/De4+t34IplxrjmQJRywRSWrnoSG4noqYIvPI2PkyhPTlzzqNj5rhw1tmAe/TATD+yEEIIcVpqaanRPd8DWEza6wIcLtSbWY1XO/CatMB4XMbrPRcv4Y1rmlFqK/jrpj3H5SsauHxFA1e88glWBv6L9oHvkkmnjs14TbHUmMgWWFMPJGA4uo5lyd1E1DrABGKqtNRYKOJTpYyXCbx6nMCruTBgPsDoAVh25Ww/vhBCCDFjRbsUeM1/5CUZrwrqqPOTxUvB31j1jNcxDVSPC7xclqI57INQE7hOHVt3NgTYm28EwJvsod1vgqWsp27qpcZMgWVBc/djr28VdcVhusJme6J4aPlEcX3exsexgVfveJoQaeqU06BVMl5CCCGqzJ56gWheSOBVQaVeXml/6xwEXhqLqTvXz1ZnQ5DtabPPZCh9lM6gE0R526ZcakxmC0RVliwe+mkiouOsDJklxQFf1zE1Xv7SUmM545WhQw1PnEwCLyGEEFVW6uPlqoG1xqoHXkopl1Jqq1Lq587jlUqpZ5VSe5RSdyqlvNUew1wpda+PeVqrX1zP5E2yz+yLtLQ+wMtxc1NAONNLq9cES6OelhOWGm1bk8gVCKkUaRWkvxjBQrNUmS74h12dkOiDYoFsYVLGa1KNV5d7BICi5ZPASwghRNWdbX28/gjYMenxPwJf1VqfA4wCn5yDMcyJlogPS8GQ1VT1dhKmuH7qTbJnq7MhwJFiA1q5aMj1UefKAjDiaoFcHHSxfGwqX0RrCOkUGStIX8HcTNCW7yFFgEPFJrMNfKKPTL6IT5UyXqa2q2cszesaze97oxdJ4CWEEKLqaqm4vqqBl1KqE3gXcKvzWAHXAXc5h3wPeF81xzCXPC6LloiPXt0IqSHIZ079ptNkayZWGNWZ/RiXNpgNvnPBdpryfdRZZtz9qgUAd2HijsXSlkIBnSbvDnMgY9pWNOaOknUF2ZMt9THrIVuw8XNicf05/jEKWOz0nG+WJas4T0IIIUQt9fGq9l2NXwP+FHCaW9EEjGmtC87jI8DSqd6olLoZuBmgra2N7u7uqg40kUhU5BpBlWfnmId3AM889DMygfYzPudURoYzZLOmQP35LS+QDI+e9rl6EyZz1mfX01zspy/RSAEX++MuALKxwfLc9DjH2vFB0rabHQk/+CCS6aXP1cG2cT+4YNvTvyKduxSf22S8xod6eeahRxhN5YnEDzBCAy+Mh3krmmcfvIt0sPO0xz9fKvWdWYxkbqYm8zI1mZfpydxMbbbzcmDcrNxsf3UbvsGdVRrVzFQt8FJKvRsY0FpvUUptnO37tda3ALcAbNiwQW/cOOtTzEp3dzeVuMaPDm+mt7cDcnDV+cthxevPfHBTuHXPs4RjfojBFRuugPYLTvtc6VyRP3viflLRlXSknsKKXEQ6EyTra4QsRH1whTM3Ww+NwhNP0eDXFFUzw05tmIWNK1jP3mQjuGDd0nr0C5QzXnVBD6svugIeepQVwTRxvYS9RRNsve6cVli78YzmYz5U6juzGMncTE3mZWoyL9OTuZnabOfl5SNj8PSTXHThhWxc11a9gc1ANZca3wDcoJQ6APwYs8T4daBeKVUK+DqB6lahz7GOugA7kqXu9dW7s1EzacugM1xqDHhdNIW8HCw00c4oYR0jZwUZKpibBdyFiYaqyaz5V4OnkAJfhDHCFLUzEF+UGCFsd4DiuPmxlmu8cil6x82SZSTTRz68hM1xcyclw7vPaPxCCCHEyZwVxfVa6y9qrTu11l3Ah4CHtda/BTwCfNA57KPAvdUaw3xoi/rZl42aB1W8s9G2wVV6UIEvUmdDgG3JOiylaUntIecKMZArBV7J8nGJbN55LoErEEVjMYL5vO5AFFBkg+3oUuDFxJZBveMZQONL9eFp6GRYRyn4m2Bg8r0XQgghRGVN1HjN80CYnz5enwf+WCm1B1Pzdds8jKFqOur8JAhie8JVvbPR1hqmaaB6Oi5f0ch/ja8AoD6xl4I7RF/WdPpwFxLl4+JOcb2VS+AJmq74w9oEXt6QeRz3TvQxm9zHK5bO4yeHsnNEG80ekiOhVTDP6+1CCCEWN63Pss71WuturfW7nd/v01pfqbU+R2t9o9Y6OxdjmCvtTi+vTKC9qhkvDZPaSZz5j/HXLmxnv+5gp70MMEHU/nw9GV8TS3p+BVrTO54mHx8iQgqrmMEXNncwlgKvQOmxqwUrfnzGK0UsUyDq7APZ0NCE12Vx2LUcBndN7GAqhBBCVNhZsdR4tio3UfW2VLfGS+tJP7wz/yJdvryBloiP++0rAGhtbmbt0ha+WryJutgOdnf/gKu//DAbn/4YX/bcCkDAyXANT1pqrA+abvbuZD8W9sRejcUciXSadqc5qyvYwKqWENsLS8y2RFVuOCuEEOLsZdtnSR+vs1Fp26BRVzPEq7nUCJaq3OZTlqW4fn0bvyyaDauVL8Kfv2sd30m8gQHvMhpe/HcsbFpzh7jGehkAf7gOj0uVM174IrRH/RwuNKB0kWbGJ5YagUwySZvPeeyLsqYtwrMJs+TIgCw3CiGEqI6JvRrnP/KSwKvC/B4XDUEPfboRHe/j1u7XOPJKN2y9o6LX0VpXNPAC+PCVKwh2Xkj+vPfCymvZsKIBZbnY5T6PUPIwLYzhxi4vFypflKaQ75jAq6POz76cedyhhieWGoFcOkGrx2mW6o+ytjXMkzHTpFUPbOfwSMrUxRUW1eqzEEKIeaZrqHN9tRuonpWWNgTYm2/kzbrI9x54go0dP4Psdrj0typ2DVszsUl2BWq8AM5fEuWeT78ReCNgvhztUT9HdDNvKoyzyjoug+eL0Bhyk8g6bSF8UdrrAuw6YtpptKsRfCqPjcJCk88kWOIuBV51rGmLMEqUvL+JV55/gi//PM+PAv+Eu/NS+J37wL1otvEUQggxj4qlwKsGIi/JeFXB2rYIT8fNEtpadYTG5N7yXoWVoql84DWVpfUBDhaaANigdh37oi9KU9hL2uNsE+RkvEp9zJaoYQIqR0KZx/lMkqZS4OWLclFnHV63xabUai4be4Af+f6e4WIADj0Nv/zTqn0mIYQQZxcprl/kzm2L8GzCLKFdbO2lPnsUcsmK3rlniutL56veF2lpQ4DX8s0AXOEyjU7zeMyLvgiXr2jAs+QiCLdBy1paIj5GiWArF00qhp8CMSfwKmZT1FtOAOqPsqQ+wL2ffgPPXPg3dK/8LPaad/AJ91d4uO79sOV2SAxU7XMJIYQ4e9TSJtmy1FgFa9sjJAjSp1p5l/XsRIBUyIAnUJFr2FpPlHZVMeO1pN7Pc9km8MEG124ytoeDgXWcm3kZfBE+89YOYC3wHgDqAr2AIu2KUJdP4iPLOGE6AZ1LUGelzXi9YQDWdUT5qxuvBq4GYP1dL/GdbcNcxz2w71G46MaqfTYhhBBnh7Ouj9fZ5tw2k+F5tbCU1ZPronKpad4xe1pP7uNVxYxXfZBe3UBeuwjqFH000RtYY170hU84vi5gsmFJFaZBJfBQYAxznJ1Lm8J8X3TaMb9xTQvPZpZT8NbBvkdmNdbDIyn+/4dew378a6Y3mBBCCIHZ7QUk8Fq0Our8RHxuXtOdx76QT079htNg60kLjNWs8WoIYGPRpxsBCDYto2njH8Bb/xp8kROOLwVe44RoUWMADNsm8PLrDGGdBH/dtNd7w+ombCz2RzfA3kdmtTz7s61H+e5DL2Bt+hI8+fUZv08IIcTidrZvGbToKaVY2x5hl9MFvqyiGUvK60MAACAASURBVK/J7SSqWVxv+pL1YArsWztXc+HFG+CNn5ny+FLgNWoHaWUUgGE7CEBAZQnqJPij016vKexj/ZIoD+fXQ7wHhl6b8VgPjaRYrpy6sD2bpBu+EEIIQIrrzwpr2yLljFdChcyTFcx46cntJKpYXL+k3tSkHdGmwJ7okpMeXxc0gddAPkhbKeNVdDJe5AgUk+CbPuMFcO3aFu4YPMc82PqDGY/1mMAr0Qf9r874vUIIIRavco1XDUQ9NTCExemKrgZ6PcuIWxG2uC4yT1Yw42VrjZqDdhJBr5uwB3pnGHiFvW4sBSN2kKAyjVBLNV5BsviKiZMuNQJ8/A0rGfW083jo7ehnvgXDe2c01iOjaZapwYkn9m6a0fuEEEIsbpLxOgu8/9KlPPpnv8ZX1v6EH6gbzJP5Ci41Aq4Kd66fTlPAIu7rMA/qOk96rGUpogEP44TKz41r8/uAyuIpxE+61AjQEvHxR29dwx8Pv4+i5YX7v3jKMeYKNj3jaa6oG2dQR4lH15jlRiGEEGe9WmonIYFXlSiliPo9uAJRRgo+82SuksX1kzNe1f0mndtgYXdeDoEGaLvglMfXBTzlYAsghY+85SNAFnc+Ye5qPIXfubqLaMtSbrFuhN0PwGsPnPT4o2NptIbzAyMc1q3sD6yXpUYhhBDA5OL6+Y+8JPCqsoDXxUjeaZdWwYwXetIPr4pLjQAfXufjzz9+I3z+ANQvO+XxdcdlvLJ4ySk/ITJY2dgplxoBvG6LL71nPV+NXcdoYAXc/4WT7uF4eMTMbX22lz7VRowwZGMA3PviUR7f/BI8+CWwi6e8thBCiMVFy1Lj2SPgcRErOJ3eK7htkK01VqmPVxWL60/H8RmvjPaQVT6aVMxk6U6x1FhyzdoWXndOO/9c/BCM7IODT0577KGRFC6K+JJHGXB3MK6DUMxBPsO/PrKH3Y/9GJ782ozrxYQQQiwestR4Fgl6XaSoxlIjc1JcfzpM4DXRXDWLl5T20e7c5TiTpcaSq1c3cV9stXnQ+9K0xx0eSbHCNYrSRYa9SxgrmjYYZMYZSebwZkfM4/TIrD6LEEKIhU+K688iAa+bDF7zoKLF9XPTx+t0nLjU6GG86GW55bR6mMFSY8kFS+uIESYTXgY9L0573KGRFJdGTWAX8y9lpGjaYNhpE3j5807AlRqe5acRQgix0Nm2NFA9awQ9LjQWtjtQ2YyXzZwV18/W8UuNwVCYTYULaWLcPDHDpUaAC5aYY3sCaxna8zyP/eJHFO+4iXd/rZt99/wt3PVJAA6PplgfMA1bU6FOhgsm4xWPjWBrCBecbFtKMl5CCHG2sRfiXo1KqWA1B7JYBb0uAGx3sLLF9cxdcf1s1Qc9jE3KeL3r0i7uKLyVAmYuZpPxagr7WFLn59H4UppzR1m19R9x7X6A/r4j6H2Pws6fg13k0HCK1e4hsNzkQ+0M5s3ybmJsCIAGTKE9qWG01qaZ3ml0ts8XbT52+3McuP8brN5z66zfL4QQYu6VlhpdNVDkdcq/sZVSr1dKbQd2Oo8vVkr9W9VHtkgEnMCr6A5UvIFqLRfXp/FRwNzN+b4rVjPiauJ5/xvMAafoXH+8C5bW8UjM9BHrzO8HoE2N4ssMQCFDrG8/sUyBTvqhfjmRgJ++nAm8UjGTBWskbk6WGuZbj+7lw/9yD3y5Ew5MX7A/lYPDSbp3DeLafjftfd2zeu9IMkcuk5asmxBCzLGFtlfjV4HrgWEArfVLwDXVHNRiEvSa4KPgClR4k2w9J5tknw6zX6Mi7TKbaLfU1/Fn71xH8vV/Cpf+NjSsmNX5LlhaxzZ75THPtalRonmTzRo+uA2Apnwv1K8g4nfTnzWBVzphAq8m5SxzpkZ4eMcArcPPQy4Bfa/Maiz7h0zwHEkdMs1gs4kZv/f6rz3GSz/+K7jl2lldc1dfnMHhITiyZVbvE0IIYeiFttSotT583FPSDGmGSkuNBVdlM15ag6WcjFeNBV5RZ6PstNsEXrj9fPwNK3nrNW+C9/4ruDyzOt/rVjYypqIccS/nMdtsv9Sl+oliAtlMz3YAwumj0NBFxO9hzDY1XvnkKBY29c6xdmqYl4+Oc5m125w80TersRwcThIgQ33BBH2MH5nR+3IFm8F4Fit2xLxnFsucN39/M8/d9S/w3eshn5nVeKeSzBagkDtpXzQhhFhMFtpdjYeVUq8HtFLKo5T6E2BHlce1aJSWGnNWoKI1XrYGpWu3uB4g646Ay3vGu5K+blUTW/7ibTy+8U5uzn0WG8WF1r7y63roNcKkcGdGoKGLaMBNEj9aWRRS4zQQL98BmhobIFewJwKveP+sxrJ/KMmK0kbcMOPAK5UrAGAVkqDtWfV0G07kcKeHwc6f8Q0aA/EMl/7Ngwx9/2Nw96fO6FxCCLFQLLQ+Xr8HfBpYChwFLnEeixkIlgMvf0XvagQ98QWqscCrPmjaZ2Q9deD2V+ScDSEvTQ2NZPAxquq5yDK1XrZyE4ztLd/RSMMKIn6PuZPUE0Fnxml1xcvHFhNDBMiwTh0yx88645VihZr0nvHjk8FTS2RN4OUuON+B3MyWKLXWJHOFWb8PIFsoki8Uj/ne9YxlyBVtrNF9MHpgxucSQoiFzC7nKeb/70v3qQ7QWg8BvzUHY1mUgh4zxVnlr3jGyxTXz/+X6HiljFfeEwXn7sJKaIuaIK6nWMeF1gEAesPraUwe4JLwGMQxGa+4U1fnjaAy45wbyUIGRv2d+DMjXOE9iFvZ5F0BUoNHePLprbxz+Pvwji/z5IE49790kL+1v8HjSz5Bn13HjWO3c/+SP2BFIMMlfXdRtMwdkhoLNcPAK5k1q/PegvMdyMYh3HrK96VyRbSeHLDNPHj/ve9v4U16M5/o+Rv44+0QbCSeyQOYPTNzlQmKhRCi1ukaynidMvBSSt0OnFCQorX+RFVGtMj4vSapmMFb8S2DFNRcfRdAyOvic9efS7j+U1C8vmLnba8zgUKfbuRCDgDwkuci3mm/xGUekwGjoYuIiS3Iu8O4MnGW+VKQgT7vctalD/KB5iMwAvvrr6Z1ZAv7H7sT0rfBJR/mP19ws3/r4+C7h/1HWtk6FuJGdTuPPOfjWv9+/qTwAPt8KxksRPF7vURmuNSYdJYavUUn8Jph5qqUKfMWnYBrFsH7K0fHeafvFSikId7nBF7mfJ5CHHJSqimEODvUUh+vUwZewM8n/d4PvB/oqc5wFh+vy8JlKdJUdqlRa7DQNRl4KaX49JvPAc6p6HmbQl4sBQO6AYCs8vFgbAXvBF6X7DZtKgINRP1maTHjCuPJJ+gImSBnZ6GD9WiuKm7hIB0ctJazVj9MW8bZvzHey87eei62zDKkJzNKsJAHD2xkC5fndoOCVcX9PK/X0u52zTzwKgVQdinjNbvAyzfLgC2VKzCUyNGgep3rmTkxGS+Nt5CA/Oz7mAkhxEK0oIrrtdb/Oem/O4CbgA3VH9rioJQi6HGRxlfhpUaNwq65+q5qcrssmsM++p3AS4fbuT+1lpftldRne8ptKsp3VbrC+IsJWl0mWHlqzLyvLfYyu73r2B43PYEvLJq7IovjPewZSHCeU//ly4/R4PT/eru1mVY1xoCuB+CgbmdQNZdrvLTWDCWypkdXsXDC2EuBV0A7Wc8pAqhHdg3wP3/4DPzgg9D7MgCJTOl9pcBrZsH70VFzneaic/NAOfAq4COPSxcqXHMohBC1a6H18TreGuDUxSmiLOB1kdI+KOam/Ev5dGhNzS41VlNb1E8/JoDyNyzls++4gN/PfYa8rwFazgMg4jeJ3JQKEdRJmlSMhBUpB01K2xwJXcArMbOf47mWyVqN9R8mV7RZ52S8AoVxGpUJWFxKY2Px+by5E7DHtZQemiDWA3aR257Yz3u+cg/2Vy+Ap795wrhLNV4BnMDLCYQm27Sjn22vbIU9D8KBx533me+Lv5Qpm2FLksOj5rh2uxR4mbq0WKZAFOccttNWQgghFjldQxmvmdR4xTE1Xsr5tQ/4fJXHtagEvS6S2ikyzyfBNbvO7VPR5c718/8lmkttUT/9vSbwItLOp960iuvOa8Ptvx48JpAKeFy4LMVIwU8bKfI6RsrTwEg6Uj7PSOMlDPQdPebcyeHDwFXljFe9jmN5fQwU62lyJSl2XM77NnwMrHN46uEQ7kw32AWKsV5uf/IAH9CbsPJJ2Plf8MbPHHvuXAEXRQI4gY6TbUrlCtz3Yg+/Ufcq9nCONuXcnels5l1aagwyfaZsKodH0ngo0KpHzFdk0lJjRE0K3nIJcDfO6JxCCLFQlTbJXhDF9VrryKmOEScX8LqJ26bFArnUrPYqnI6tnU2yz7qMl48XdCnw6kApxTmtYSBcPkYpRdTvpi/n40pSFIqjpL2NjGnnGE8Iu+VcBvWxS22F8V6WMkRUmSCnQcVZ1lCPnVtK8bo/wtu8ivcu6wQ+RPjF59l7sAmALS++SN+YzW/7HsJGYR3dDOlRCDSUz53IFggyqWGpE0Ddv62PL9z9MjeGP8VG1xt5UHWZ148LvMLlwGtmy4NHRlMsUUPl/mWTlxojTAq88ilAAi8hxOK2IGq8lFKXney/uRzkQhf0ukiUAq8K1XlpdM0W11fTssYgg1YzWrmgfvm0x0X8HnaPW7iUpnFsG8lwFyM4/4ZYehkt0TBDTATA8cBSvKl+rmsYBOCIp4tGFSdqx2hvX4r30t+AZVeUj79gaR2PpUxN2d6tj3BT+BU61Aj/oW4wDVL3dR8znmS2QIhJd7U6xfV9sQwR0rgKKRpyvbRxbMYrmS1gYRNSTtA2w+/P4ZE0nWpw0vUmZ7wmxvHRbz/Cr/76naS/sga+d8OMzi2EEAtNsYZqvE6W8frnk7ymgesqPJZFK+h1EcuUMl6VKWi2NSila+NbNIc+ctUKXr+6CcWD0Lpu2uMifjcj436wwCpmyK1+O+pokGJkKa41b6Ml4iOPm4SrjnBxnAPhS1g++ChX1/dCGp7T5/MeHsDOjULwwhPOf9WqJr5GPbHwStpHNnNJayvZeCP/EPsAH4k+gmvPJlj//vLxyWyRkJq03U/OBEIDsSytzvJiq91Pm2ozrzsbacezBUJMft8MlxpHU1w4ZeBVoG5SxmtkdIxrvc/hyRRg/wDkM7zSnyWdTnLl2C/h8o+B5ZrRNYUQolZpbZqO13QDVa31m+dyIItZwOMiVnD2J6xUxktrZ6lx/r9Ecynkc3NRZz1w+UmPi/o9xLS5axG3nwvf9F5euDaAS20Fy0ProTEAsv4W4kkP27PNXEiCS4qvcEB1siPTwAfcRXSqF4JNJ5z/kmX1uC14KLWWt1mPEYztJX/eDRS3eOkuXsjGl36MS2t41/8GT4BktjCxXAjljNdgPEurMmPpYJgOZTJdkzNex2TKZrzUmOZG3yiFooUONOJxiuvjmQKdk2q8GlQcn8oz7G6lqTAAmTH+/hf7uXDsYa5M/RO0rYflV83omkIIUatsrWtimRFmeFejUuoCpdRNSqnfKf1X7YEtJkGvi7FCZTNe5T5eZ1lx/UxF/G7iOIHXqo0oXxi/xwVuH1gW57SG6WoKYnddyxb/1WweNs1ZO0Y385rvAoZtsyyptA3BE2ug/B4Xq+ssHs6sJaLSuPJx/BfcwG0f3cCtwZv5z+I18OIP4NV7AFNcH1Qn1ngNxDO0YAIvryqWt0KaCLyOz5Sd+vsTy+QZT+c5zz9Cj24i760rZ7wS2QKRSYFchzKZtV6r3TyRHmP/UJLGjNORPzl0yuvVusF4lhcPj8Geh+QuTiHOUraujfoumEHgpZT6EvAN5783A/8EnLIYRCnlV0o9p5R6SSn1qlLqr53nVyqlnlVK7VFK3amU8p7hZ6h5dQEPRzLOXY0V+ovM1hqlOetqvGaqMeQl5XZquM79tRNerw966f7cm2m58V+4b8ln6HMK9pW2ORy+aKIeDKbMeAGc1+jiWdtZ7vSEYNW1bDy3lQ9cezlfyH4c2x0o9+NKZovl2iqNKme8BiZlvICJ36dGwLadYvhjM16xTJ6joyno3z5xj/Qkh0dMRmuZNchh3UreHZr2rsYVHnO9o9p0iEnHh+mPZWkvOI1h0yNTfvaF5N8f3ctf3PYz+MGvw87/W5FzvnJknN///mbsu/4bHHiiIucUQlSPrXXNLBDN5G/tDwJvAfq01h8HLgZmclteFrhOa30xZmPtdyilrgL+Efiq1vocYBT45GmNfAE5py3Cjmwz2nLD4M6KnNPkumwJvKbx6Tefwxc//htw4/+BS06+1Whb1F9uygrQX38JY/rUgdfFLS6GVT3Jpotg3bvL7SwuWFqHjcVY9FzofQkwS4btfnOHYtbXBLkEWmunxmvsmPOmrSDoIoXUGNlMitCkYnidS/KRW5/lO1//a/jW1bD5thPGdXDYBFbNuaMc1G1krInAK3ZcINfpMvVlB+wWAAYGTKf7FTgd71OVD7z2DSbY2zdqMlBzYDCeJZB1lnDj/RU552O7B3ny1b1Y234KezZV5JxCiOrRCynjBWS01jZQUEpFgQFg2anepI1SJbDH+a9UlH+X8/z3gPfNetQLzNrWMHncpMJdFQm8tNaTtgyqjS9SrVnWGGTDyiZT4O7ynPTYtuhEN3xCLej6rhllvFbVu3jhf72N0O/eDzd8o/z8Oa1hvG6L/e7V0PcK2DaJbIFWnwm80r4WyMZJZAuk80WWe2P0O81dAQ67uwC47fZv87V972aDzyz75Tx1jIyO8tqRfn5P32kOfvjvTgiO9g8liZLElxtlv24nYwUhGydbKJIr2NRbadLaJJqXOIX9u/PmM44OmYL8LtVnTlaFjNdf3vsqd//4VpOB6n+14uc/3lg6T71y/ihKVSbjPJbK0VA6p1M/J4SYP/miDbYN9tR70Nq2rokeXnDydhL/qpR6I/CcUqoe+A6wBXgBeHomJ1dKuZRSL2KCtQeBvcCY1rrUvv0IsPQMxr8grG0zf4n3+VfCwI4zPl9pdcnc1SgZrzPVGvUzTgjb8sKy19EQ9jE6g4wXmCVLvCFTO+bwuCzObYvwQn65uXtxdD+pXJEWr9m9O+5thlyC/pip+Vrpi3NItzLiJJJ3Y9pUrB5+BDcFrnbtAiDla2Z4dJTPNTxKuxrlz/OfRGdi8PixNyAfHE5yccgETAd1GyllAq/SBtnNnkx5abUVkwnal282YxsbJEqCxnKgUvnAaySZIx937rgcPVDx8x9vPJWbFHgNV+Sco6k8DTjnzIxX5JxCiNMzGM9ywZceYPD7H4O7PzXlMbVU43WydhKvAf8fsARIAj8C3gZEtdYvz+TkWusicIkTuN0DnDfTgSmlbgZuBmhra6O7u3umbz0tiUSiqteIehUvxutZlT7A45sewHb5Tv2maZT2nErEY2TzOZ5e4HMz34I5zfvP8bIj+LukQysZPLyfOAEKuHBT5MmtO8l7e09438nmpUFleWComU+54NVNP2I0cSm+0Ai2VvSk3LQVhnnw8WfNsfkB9uhOwqpIox5nc6aDd1lwid4BClYXzSbePbkggeIAb+RlxoJd3DHyFj7i38ryF+/hOd/bytd+cW+ajdYRKMIhOuiL72RNdpSHHn0SgIhOMEwdy/QgDUWnb5luQaMY7DnISjVRSTB06DW2ncbP/mRzMziWQufi4IHdmx/maF9o1uefjd6RFFc6QdLgwV28WoHv8p5DmXIwN3x0H6/M8JyL/f+l0yXzMj2Zm6lNnpe9Y0WyBZv80ZdJeGw2TzFfh49kKRYLNTGXJ2sn8XXg60qpFcCHgO8CAeBHSqm01nr3TC+itR5TSj0CXA3UK6XcTtarEzg6zXtuAW4B2LBhg964ceNML3dauru7qeY1Ltj9DHti56DQXLOuDZZcctrnyhdteOCXRMNhfKlAVccN1Z+bWvBuAN4OwPCrfdz+6hZS7nqihRHe8JZ3gevE/1VONi+H/Qf525+l0W4364IjeOwMS6IeUikfVqQN32ieJavPg+dfpEnFGdANtAaDkNzLS/nl4INmZZawWrTJOo2622hWhwn60oRb17GMANsDGzhv+BY2blgPYVOn9bknH+Ly+iQMKkZ9S1GRVtypFOdfdCk8/hRN3jz78gFSykfU6d4/RhjbG8VHjosCQ2BDxtdEc8g6rZ/98XPzyM4Bntl5mC9mv0aHejthp25tTYufNVX+bmW6HygHSS2n+XmO980dT1E/bM7ZFPLM+Jxnw/9Lp0PmZXoyN1M7Zl52DcAzzxNSWcLKnnK+Hhnfhnewpybm8pTrVFrrg1rrf9RaXwr8JqYm65SFSkqpFifThVIqgMmW7QAewRTsA3wUuPc0x76grG2L8Pi4Wc450zqvic0+ZamxGhpDpv4p66mHQP2UQdepXNJZTw4PLxWXY22+jSddv0dToZe0CpDAD7kEA+Np/GRx5eMkPU2koyvJW3726BNX33PaxdFcgABZ/Jl+iHZwRVcj942aZUkOPQWYdhGD8ayp0YouxRsIEtMBQJNMmEAurFPECZLCtNAouvzk8FDwRlGZUa6MjmJrxUBkfcWWGu98/jC7Nj8EO+5jff4VwqWmsGOHKnL+6RRtTSxToB6nDUeF7ioeTeVocDZQl6VGIeZXzCmj8Bbipi51iru9a2mpcSbtJNxKqfcope4AfgnsAj4wg3N3AI8opV4Gngce1Fr/HLPB9h8rpfYATcCJt2UtQmvawuzMtaAtzxnXeZWWGpW2pbi+ChqCJvDK+xtOWt91Mhd21vHT37ua73T8Df/MbxNQOTrHt5BWAeK2CXjGxkfpdJu/tG988wYuvukv2fSmHxMjSFabYK+gzf+iSRWkP+MiotK4M6MQXcKVXY08mVqG7fbDwad5dt8wr722k/XqAK2Fo9C0irDPw1jRXC+TMIX0QTtJXAdJORu3274oAClXFH8hzrneAY7SzKiruWLF9dt7Y6zV+53rJyaayY4frsj5pxNLm7q6+lKQVKEar7HUpIJ9CbxEjcvkixwdS8PwXigWTv2GBWY8nUdh4ysmoJibcocPW9dOcf20/5RXSr0Nk+F6J/Ac8GPgZq31jDqAOnVgl07x/D7gytMa7QJ2XnuEAm5i4VXUHXn+jM5VLq4HCbyqYFljgOvXt2Et/XVwn37D2yu6Gnlx/Xq+djDLZ3134CskyLraGMiauyzPfekr3ODZBxralnRBQyPutvOBzcSsOlr0MM/b53G1aztpFSCl/RMnjyzhys5G8rjpC1+I9fJDfOPxer7h/SZ3ezO4Yx5Y+RtE0m7GnB5ymaQJELzFxDEZL+03d1SO2EHq1Bht+aNsVx3kCJuMl5793bPf355laPQuPjj4TeIf+hmHRlKs85jsVlSlCJd6iY2dfuC1uz/O/3lyP1/y/RDvul+DVdeecMxYKfAqZbzSpj8a1ulnirXW5k5JS+5qPFsNxDK8+xtP8OCqO6lrbIXr/36+h3RStz2xn58+uoVHrD9AfeAWuODXT+s8WmvufbGHdzX14vEFzM4WNSCWzhMh7TQVx/y55Yscc4zZZq82/r482Z8+XwSeAtZprW/QWv9wpkGXONElyxpY3hjkZ8XXw8Eny/2dTod2vlwKG+lcX3k+t4tvf2QD7df9AVzzuTM61/olUZIE2K9NZ/icFWTbkLnd+YbiQ5yr95kDG7rML6VlTq8JhjbZ5t8uGRUgyaQbMqIdrGwO0Rz28ZOhZbSnd/MD75cZtUOk8OEqpKBpNWG/mxEn45VLjuMlj8vOEdMBUs75rIAppu/N+aknQTh5kH7PUobtEOjirDM6Y6kc3YcLtL32A+jZyoF9phz0fHXQDJ3URC+x1BDk09Od6qQe2jHAvc/twvv8t9A//A049Ez5taFEln/r3oP1wvc4Rx2ZyE5pGzJj05xxZmKZAkVbT7STyCUWZRZBTG/fUJKBeBbr6Gbo2Trj9xVtzd/9fDuDz98NL/6wiiM81sHhJNFsP8ouQOzEG4Vm6tWeGJ+580VSP/ssPPilCo7wzMTSeaJqUngyRWZb11DGa9rAS2t9ndb6Vq316FwOaLFyWYpPvWkl/zz8eoruEDz1jVO/aRp2OeMlNV61bv0SE9S8qrsAyLlCJAmUXx97963wu49B02pgor5MB5oYdbeU35exQuUMFQCRJSil+OaHL6X9rf+DfRv+F/b7/p2/W/JNvu672RzTej5hn5vhvDlnIT1OxNkgO06wnEFzBUxricMpH51qEFcuzrBvGQOFsDnPLJcbH9oxgEvnuSxj7to81NuHjxyrVQ8AUZU8dhuk8SOzOn/JaCpHk7OEaBdz8NOPm2wW8F8v9/Iv97/K8qf+jI+5HqBBJcjh9HM7w+XGsZTZdqieScsZkvU6q5Ras7jy8Vn97I+Mprj1if3knv42PP4v1RreCYYSOZqV8w8op5ny6UhkzedWuURNLbGPp/PUMSnwmuLPrKK9wPZqFJXxwcuX4QrW82jkXbDtbkie3l8AulTjJYFXzasLeuhsCPCq3QVAwR0kWQqgPCHqL34PdFxcPn55Y5DfvWYVgTd9mieX/wGHna18cq6JmiwAoh0AXLWqiQ9tvJRV7/4TrEt+k3/9xHX8/h9+Hv7HVlh9HWG/m6G8eV8xFafVawKeuA6WM14qUE/E72ZUB/Ep8wdrLLiCvryz12Vqdv/2un9bL6+3thHSJsjrHRhkjTqCW5mgKEqKOivDaGkDjNMssB9J5lgTMUHQY543QrwHel4AoD+WoYVxFJrlaoAGlaTH6nA+z5kGXmb5slxcDzX1l5CovMdeG+Rt//wI9rfeBK/eQzxjvgOefBwyMw+8SgGblYtXrJnvTAwlshUJvNJ5k623CumK7Tt8Jv78nlfY1v0Trj/8VaKTtkKb6s+sBVVcLyon4HWxoauRTdnzzRLO0GundZ5Sxks61y8MFyypY5uTubI9IZKlWq1zrgOP/5hjXZbii+9cR/Pl7yN27gfp8Vli8QAAIABJREFU1Y3Yyk3ePVGThScETkH88QJeF21RPzSuAqWI+NwMZE3GK5Mc5fygydL00zBxPn8d9UEPY3qin1Ym8v/YO894Oc7y7P9nZntvp+oU1aNuSZbcq2xcsY1NMWCaaYEXcHgJ4UcIBEiIgRgSegyJwXEAU00xNjbuvSDJ6r0dnd6395153g/P7O5Z6Rw1S5Z42evLkXbnmb7zXHPd133fMxkomMrcURCVaLpAKZ8lFZ/gmd1jXKNWfYyjY6Oc55bhjailAZ+SIaDl2GGY2ZumwX7bQIJSYvioFbCJdIE2u3zY3p06F6FosONBeXyJPE1mVf4utQ8nOfaJE0O8oqbiFVLSZBTzHL1GxOvRbcNs3rEDXv6vKTO3TgT2jqb43hO7EU/fIc3YQEk3K4KbiuL/D/jKQ9u548e/h6/Ph8TAYZfd3B9neHQEdXgT7H+WZK6Eho7VyB0TkakqZSnIRl+zEPVYMk+EMvE6fnU2V5DES9NzUxrYj4SX9o3z5Ob98MzXX3XD+nxJ8NOXeyhs/DWXxH5HiEnXYbpQ42nCeE6T3fjrQWfIxbqk2R4muv+41iEqD9y64vWXgMWtvoriZXX6KLqbJUk4gsF1ZWeQkNdFsfNiBp0LqoqXr+WoCbfHbmG8JMflU3HmO8tNsSPV9Tn8+J1W4pihRUVD+DvoyZrE7AihxlxR55KvPcmue/8e7e6rKZQMVlr2slu0ARCPRznPO0pW2NijzcFHGg9Zdhsz5HmI9XJgPM3rv/MsQ/fcSumeG/ncbzdRePbbsPeJabc7kS7QYpVv3ftFM0PBM2HnQwCMJHMV4tVs/t1VapIDpykp8d0ndvO/v30A7rn+sGU0qopXin6l2TwJJ594lXSDv/vFBg488DV46FMwse+kbOfnf+7hF48+i/Lk7fDwZ9gzkmLh5x8m/cMb4E+fOSnbPBVY1x2l1L8eUkMVgjkdEtki/rKHKNpNMlesZubmkzUkuKgb/PC5/aS2PQb7n6lZT1kps5VM0nKCsoZLuoEwjCmJnBCCsVSBhmkUr5Fkjgc3DcLmXx8xCpMrvTri9d0n9vD4Az+DJ74kvc6vAtG8POfO7DAqBnOVSSVBpzivMqvx9BAq6rP2a4yOsIu9xRBCUWHieImX/KuKurn+LwFvXNnGWy46A+Oyz7P0mg/w87+7CeWTO2QfycNgfrOXNZ99HfZbf8uLre+qhii9LUe9bY/DUvGUFTNx5ljHQVFJ2JqqipczIIlXWfEKduL3uhg0Q416enxKA/wX79/KAw/8Bv3u68jnMnjGNmJP7AMEYSXJXkPup13P0GxNM46PkZILv5LGpmeI4abgaoZYD8/vGccqijSOr8UysZu9ax7G+sQXYO3d0x5bNFOgSZOToT/czGPGKhjdDhP7GE7kaFRqww17DZMkTfE2/OLecb71yDbO3/xZOVkOTd+cI5opYKWEi2wlFHyiPV5CCHJFHYq5yg9+Y1+cZL7EvNRaudDQ5hO6zTJ2DafoUkzVcfefGN75MkVdYBndCgMbTso2TwUm0gWcRTPRopBiY2+Mz/5mI+L3H4PB2uufyBXxmf5ISbxKeMuhLaMIpXxl2buf38/3H3ge+33vOsSAXla8HIZJWk5QXbnV//4Ua3/2z3Dn+Yd8l8iVKOjGpFBj7b36k5d6+OK9T8B974d1PzrsdrIFAxBS6TuOUONYKo+SLrcLO775r4yJnPxd+AojAMzXJPEyNPshL04DsSyWYgo/x04WTwbqxOs1RkfIRRELBVfLcd94xuQQQ13xOu0xI+Dks69fhHrxJ7G2n4nfZQVP4zGtw2WzVImSr/Wox4XcNopY0K1e3MVxWpUx8LZitdnJK1XFK+C0EcckXuG5BF02ErjQUSg89mX4j0WHPMx+v6Gf1NY/4R54gflKL+FsN6pRxEcan5D9JwE8ZPGRJoGHkYKdBuKoGKSEk7izDaLdvLhvnBXKHmzI8MOXLXfJOnXJoWmPbSJdIKymQLWybHYb98dlggIDG2pCjWUMijCGxXkI8SqUDD593yY+qD3IXKNbfpganXa70Uk1vPbpslvAgf4B2P4A6CV2Dyf58I/XUfr938Kex2vG9iYNrvnWsxTuvQXW/2TabfxiTS+XffkBxNfnVbLfnt09SgMx5mPu4/CWace/GuwZSbHEKkPDJauHGVu+j4UStkLsuBMhTkeMpwu4Sybxyqd4YscIf/rzVpT1P4ZdD9csm8iWqh6iWA+pXL5KxKBCZoYTOb712G4+Y/0ZVj1zyP2byssQpUOYRO0E+LyKukHvRBbGdsPYTtCLvLxvnJe374eX7mQsIfczgkm4DlK8+iYytCuSvDB2+IY02aKOnaL0F5dyxxwqnUgXCAhzP45RsTUMwX3r+ih0vwRDm5nISRIYNuQ5XGzppyRU8q6Wmt/4SCLHJV97kkt3fYk7sv98TNs8WajP2q8xOsNycos7245f8TL/qhh14vVXApdNq4YGj0Hxmtcoa9kMO2ayQO2loTQMgXbcNg3DahItRwDfZMUrNIegy4pAJSY8OI2UlO63/qay3lS+RDRTxJmWE/GF6hbchnygz1KG0NAZFkF01YZHyeLUk2RUNzHDhVWR4YoULoa1ZkS0mxf3jnOtdze6UNhvNDFLHZYbSk6d+l7UDZK5kjS4u8I0+pzszcpQaTExTDxbZIYWIz0pISEm3JTsoUMI5PbBBD0TGW50rGO70SE/TE9PvGKZAu12maSwX5fkctdz98Ev3gHbfseftg7x4tY9WNbfA9t+VzN2d1Rn52AM6+6HYNefpt3Ght4YwVwvSj4BO/8IwLO7x1ht2waArjlheOu0448XqXyJ/liWKxujDIgQu4KriUysI0RSTrbJQen1OgrEMgWu+86z9P/q0/CH/3vC93U6jKXybOqLwd4nQS9OuUxRN4hni3iNquKVzpdwm62sSI3ULC8VL1PhMYpoqcFqSRSokJkfPb+fRn2IN2rPkVU9kBquOV81IUqYUvGKZ4uMJHIwWusBjmeK6MX8IWb+tJlpWFGgMuN89eEdPPX7/4GH/4H8PtnVYjpzfV8sywzF3I8jEK9cUcfBJG/WMYQbhRBEMwVC5aQUc/7TDcG//GEb/S/9Gl76/rTjn9szxid/tZHirz4AD3+GiZzAT7qyP21Gvyw+bfXXhBq3DiYo6oLl6l4WGLuPO6ntRKI+a7/GmBFwoiowpL16xUupm+v/ajC30YPDF0G4G2HGmcc0zqIqrM+3sUDpwZsbgEAHTpsFYTWzFh1+mnx2EloQgQKNCzh7Voh3ndvJ0LKP8tHC3xLzdtXUHeqLyrfoVuQEdZ1WraG1xCqNyuPCR9HixkMWRylBVvOSwFVZzur00mM0oqRHyKTiXO3Zw05lNg+ICwDIah6MxCDv++FziHtugO6qJ6RscPcZCXCFCXtsxPAgFJXMhCRrc5wpdos2MorcZgwvOVvgEFK1YyiBhs5so4fnjCWyu0S6OvEmc0WMYh4K8phjmSIzHHLy7BVS8VolTBLU/wr7RtOV0hkHZ2zG80KSGGFA7MC01617PM1MxSSfB14gnsmzoTfGLeE9jAsv+0MXwtCJV7z2jMiJdEaxhwNqOwNEcBUnaFHMyUroh1UhJ2NNd5Qt/Qls234J6+6uJD6cbHz/qb185q7fwY9vhK2/m3KZSoJE2ZBdSJEulKqtrFLDNcvLOlFVhcuV7q2GGqGieO0YTLI6KEnMBtd58nxNIlc1IUqYMuz95Qe3c/td98L3zoI+GVbOFEpceMcTbLvn4/CDi2qSHGpKWwCkRxlJ5FFS5nUyw8PTEa/+6CTiNb4XYRg8t3sMMbId4rWtlLOF4ydeiVyJoi4IK2XFS85/6w5E+dHz+7E9fTs89ZVpk0bWdE/QxATudC9EDxDNCVqUKsHSMIgLN2lLoOblatdQEjdZ2srH+Cq9ZScCdeL1GsNmUWkNOOk2GuWP7hhSkcuo3pd14vXXgjcsn8HT/3gNyqd2w6I3HPU4m0VlbqOHF9PN+JUM9nQ/+KXihc000zv8vO/CWfzXR65Def8jsOwWwh47X7pxCYtu+ge2hS7n91wK/etgRPYZ7ZuQxKP8MFukVknEUpskPuP4yCpuPEoWWzFB3uIjMSlz0uUNsrMgWzLNU/pojG3C6LwAx6p3sVZbwRO+G1FFiezeF1D2P11jVJ5Iy4e/R4+BO0zEY8dApeQIU4jLCadVjTEkQozbpMm/YPWxJteO2PdUjVdp+2CShbYRLKLAdqODoiNcIWfZgs75X3mC/fd+Qk7kyEm7xSaPf1z4SQpntZjq4Ab2jqWZrZpK3UHEK1EQ1Qkw2j3tdesey8h+mwDZCXZuXoNuCBYUNrNBW8o2MRPiPZB9dcVgD8au4SQKBt7UXoZsM+ktBVARLFQnHUeif/oVTMKmvhhNSpQGMYGBCn/8FBSzTKQLrO2ekGHY4yyeeziMpvK48iahmeYcl++fUJkE5FOk8jrushqVHiWaLvDB/11L5tGvcHbikZo6Ub5sf61yZZKZfWMpznBI0r5GMau6p6pENZkv1SplUyhe/bEsaqKvZv839MRI5koEBp6BaDfPP/kghZ41MLKddEESL2tJEjqRHmM0macBGWp3jG7CQql6j04iXiXdYCiRo00xX0bycZ7ZsJ13/vAlCv9zIzzy2Zp9yxV1nErVz3YsPq/KOS+HPKPdIASP7ximTRmhIbtPFjeeJut4TfcEq1RTBUz0E8uWqi8EJhK4SSjeWuI1nGLeZON993NHvc8nC3XidQrQGXaxI282zD7Mw3c6VMz1COrm+jqOhAXN3moIDSDQwfsunMWSi2+Ecz8CTYvxOawsavVB+9lgsVUWVRSFN505g2+PrkAoGqUNvyCRKzI21IuNIk3IhtqTMc80Zk8IHykceMiiFeIUrL4axcsXCLIxJYu33uJ6GcUosOSC6/jgGy7jmy3/xmZdNgA/RzV7m06awMoPcWcxBq4wDV6z4r89jJ6UE5+/NM6wCMiwvqLxqetX8cnoTWQsAfjNByuG6G2DCVYH5JjtopO8PVTxeI2l8iTzJZSJvZXm9rFMkWaLqX4Jd80xicFN7B9NMFspE6/eGnUinhc0KCZZysUhG+XhLUNk+rdAv6xBli3oDCVyzNaGyQlZ9DW7+xl8pHCk+4n6F/FS2vT5neBw4+7hJLMtY6ilHDHPXPYXZNmSJcokdf4o+2tu6otzTUiehwed10nCNrqTe17o5uN3PQw/eaPMpDvBqOmjmZjakzaROlTxyuRLuJSq4vVKT5RHtw2jvnI3qwtPE1QzGEJBqBYC+f5a5SqXIFfU6YtmmasNktBCbM6ZWbSTFMJkrlQpYgxMSTJi2QK2YqLm+z93TxAhTrshCcTIU3ei/Pgm+NNnSZmKl12XJCgTHaKgG5X7zB/bSoNJMFOWACKf5Bs/ewC+exYjA/vRDVFVvIAdW9axWDmAPTME0VpVNlvUcR5G8do6EOc7D65ly/3fgkf+qSbUO56Sv7eK4lVMQ2qEx7eP8Dr1lepKpiizVCgZbOiNsUrdKT8QOtbcGAtccl19Qs6nKcVNHC9kJxiMZ8ll00QH93GeV/6+u42mOvH6a0VHyM2G1PGXlKiY60W9nEQdR8bCFh+7RHv1g0AH1y5t4cqzlsDVXwHNetjxrz+jlXH8DARXMb7mF/zbd77H2565nJusL6EqgvViLgC7zLpcMw2pjowLLwnDQUhJopZy6DZ/jeIVDIbZkJbE6zqelfdyx3kANPkc7MlKf9o5iiQ8Bw7s4/Z7H4E7LyA3In831kIUXFLxAkhbQqiZMewUsBZiBJs60Be+Ac64mTevamfpvFl8yXgvjO3i17/6X9Y9fT83Dn6TVfY+hGphr2glZQlWFK+42evRUohLolTMEs8WCWsm8cJDQpihTDWIUkgSyfdViZdRrCGM8byggapKNXRgJx/+yTqiv/0U3H8bAD0Tct0r3BNsFHPIu1vxDr3ExT4z/NW0lKfiZnLGCc5s3D2S4iK/nOzzwXnszMhrsESdTLyOrHgJIdjUF+MiVy86Ks+zXH6RTxDPFnHo5ay+kUPGFnWDbzy6i+FXHjiutjqxTKFKvKbZ13GTuFdIQCFFKj851DjKWCoPCKy5cQJGlE53UXqIXK1EioM1BErkE3SPpRBC0FLsI+bqZEfaVJQn+RRTuSIeZZLiNYW5PpYpVrsimIrY2u4oV3jkNegTEW7SnpfFW1PDlWryTiHXm47K+63RJF7BXA9LXVIBGrG2oSDI7HwcxnaR2SVV5NnWqFRRgfGebVyibjhk36FMvCYpXvkq8dozkuQN332e5S99nCWvfB5e+HZNdmj5nDeoSUYVSZQe/+1dvG3iTt5sfb5aR3AK4rV1IE6uaHCutpOsmWTkzg+z1JemJFS2GLPk/mlexoUXihlu+c+nePzuL/DdiQ9xlWcvOWHl1/rFMLL1lPu86rP2KUBHyMXmTEj+5zgM9lVzfZ141XFkLGjxkcTFiGa+gQc6Dj/gIMyKuFnY4uPe5Aqaiv18KPldAG61PgbAI/oqQKpFCeEkrEvSMoGPaMlBqxkOEI5axSscjhDHTUK4cOsJaFkODqmwNPnslYlrhSoNv8X4ECPbnoPhLTj7nkHFQMvFaohXXAtgy43RZpHhvBsuXMmyq26Fm76Poihcv6yV36QWU7K4yG99COPJr3ILD3Nu7A+IcBcFrMTVQGXCS5jEq6JApEZI5IoE1CxCUUnjIKPICeM3+kWAVIfmqoOVMh7/+r9/4CdffDuFO+bzsfwPqvWUgNjAHgCcqd6KktQ9LpWLNjFEj2hml3MFc1OvcLFHkoiW+asYMALkXK3Q/exhr91QPMd5X3mc0Z9+kNJvP8JvXunD2P34tM+dvaMplrvk9VMaFlSI10K1l4ywy4SMowg19kWzRDNFFordjDhmcaBgdinIxaWJvUxwpgiVfvvx3dz/xDOEHng/PHbsWWix7CTiMs2+TqQLWCgRKNfmykuPV6WVVSFJNBbHTxpNlGhQYsxwFEkIF3FHK836EL5JBOrr96+h+SeX8l7tYfyZbrK+WQwZ5jEfpHi12iUBydtDU5vrJyt2mTF0Q/BKT5Qbgt3ksfGt0hsBpB8zNVIhXmVCl49Jgt6sxkjgQUVwmUUS9EFVKqWtJXle9KGtgKCFUV7W56OrNsK5HlZrJvFKDddkLuaKOnZlUsLCpFDjw1uG8BlxLtC28pxi+lCT1cK0UqUWBEmypjQbgEv2fp0PWB5iCXv5lX4JhuaY0uC/tjuKlwzzlR4eMeTzJmKMMtMaZ5QAA0JaFgoWH2O6fMbkE6NMDHbjUvIsm3iYmHsWDWdcCe7GV13K4tWiPmufAnSGXSRxUbIHj0/xMiY1ya57vOo4AhY2y8lz1DVPfuBvO+Z1vH5pMz9PLkMXCh3qKLpQWGjIB+QzykpKFhebjVmMC0mcSpqTAlbGSjaaTK8JjmBFHQJoamgAlErZCWZdVPmu2e9gyPBhCAWH+aD3lcZpFJIUuCe24SclE0xcYdx2C06rxjh+XMUJFrrNicvbXHMcq+c3UsDK06WlXKu9zFnIUJ29mEBtXoLLpjGBXyoxQlQUL6cuQ1IiNVwxSAubD1AQJln8deFcioqd5epeOpVhXhLS43Pm2O95J3/EKGQ4R2yiSY1TFBoA+ZF90lOVH5aKWiFN91gaN1lsuVH0wCx+nVyEjySvyz4ErggrFs3Hpmlsd58lfW/TZO4BPLBpgHR8nNCe3yC2/IYv/vJ5+Nlb4aFPH7KsEILRZJ4WLQ5WN8FwhBge8sKKnSJjwkfW1XJUJSU29cUBQWNyOyPexQzmzPB1Lk6mqOMq+4QOalj+Sk+U7z25m29avydrRaWGj1jh/M6n9vKHRx6FX74bCumDQo3TK17ByTWdCinSeb3Gt5WLDVX8eCESNFjSJHAzpDYzg2FCliwJIcm1vzBMIL2Pv7E8iCU3gRGaSxELJUfoEOLV4ZZEJu5sPyTUWNQNkvlStd5UepSepEGmoLOwuI1C8wrOuf5D3KnczJ/Db4DMGOmcJDRlf1opOQIImpQ4T+pnAHCBITtJ9CgyI7qc/GEb306AFDZD1qTrU1o4T93GmeoeolpYNpWflGiQLRykeE0KNT62fYR3R3aiIrgr/zrz/FcVs4l0AR9pNHQ2GnPQUbEoBhvO+hrdF3yV/yzdQNrbOSXx2twf5yKfLJT6h9I5CEWlTRkjrI8xrkUYElI5L9l9DJv1B/2k8Jq+PAVB89wVvOctb4a/3wVtqw7ZxmuJOvE6BegIyRsj5Wo/PsWrxlxfv4R1HB4NXjvXL2ultOQtsOwWsNiPPOggXLu0hXH8dHtXksDNj/UrABCKxl1/9zb2v+0p7tGvYtzsv1i0SjKSFk5UxXxRcAZITlK82pok4Rq1mOUxZl5c+a7R66CEhXGqrZECRqxiAg4mdtBuZhbikm+7Ea+NEcOPTeRZbDfNwgeV3mjw2lnWHuDh4rKK2fiO4s3yy+YlRDx2RgyfrFFUSJnES+AWctl8bBDdEHhEGpzyWC2uIIZmZ5doY70xh7dqT2GlyJOlpQBcqbxMDhtPeK6nVRlnkXOCfhFBt/sh1k2YJFZhkovEIN3jGZY45YTc0LmQ++LzKQiNUPYANC/BZbeyamaQB9ILZTZd/7ppr9sfNw9yufoKmihh1bN8yPIAqlGEvY8forZkCjq5okFQxMEdocXvABQGhVTnx/CTsDUdleL1Sk+UedoIlnyUWGAx47rZWikbq528D1K8nto5SljEWabuo9/aCeUSFkhimMwVpTncLNFQ0g2+9+QeYi/eA9t+j7HzYalIlo3wuXhNOKyMaLpQ22szL8tJuKg2by8mhivqpKYIgtle8hYPu4oRwkqSTkuMceGjgLVScLacZWdpWiA372iE5BAv7RtnqP8ACzNraXFKojxmnXHINSgrrBUlLj3O3piBlRL++Ha8cy/gzefO5T7vO+lW2kAYlFLj2CliM8u0kBnHQxa7yLFNdLLZmEl7sRuAbXmZhVtO/ggkd7PELY9xgAgbC62coe5HoHK/9Vpzp6qqVa5oTOnxGk3m2dgX4zr7RjL2Rp4xzpDZwZPulfFUgTabPK4xJUg2tBCWvoXlr/8bAhe8nyg+RmydMLaLn/+5hxfXvAyPfh4MgwPjaZa75bndJdpI2RpoU0bwFkZIWhsZMu9Rw+ZjuGiSYSWNjyx62YPasABU9bQQK+qz9ilAZ1hOPqPW1uNSvIQZbFRE3Vxfx5GhKArfefsKM+R253GtY3aDh5//zbm03vojvtH2TR43ZChB8c9gRsiLv7GTIhYmhFTXCrYAbptG0gy3AVg8QZI4ZYhEsxH0eQi5bRiRLtDs0HFuZdlmv/RxlN9k44ofm6Kz2MyebMzsYabDnJxc8qEb8dgZLMntn61slS8lwc5DjuWy+Y08qa8AIN9yFvPf/Hm47huw/J2EPTaGzHWQGiGeLeIijwVpkM+b/hmXyKA4/Hz88nkEL3w/6pVf4sOrF/CZwntRzAf7dqODERHAIkpsty/nybgM9Z6hb2cUP2lXG/ZUHzOUanmLex97icCuX/NRmyy9sHDJclK4eMlYZJ4YSeYu7mrgVxOzZQeMg4q0ljEQy/JKT4yb7GsYNZXI92kPS7XNKMHW39YsP54ql+iIgbuBZp+8BsPIazAqAoypkSMqXoYheHDTIB9p2CjX23opKRzyuh8cajxI8Upki7SYNdI2I72D5e39bkM/F3/5IcQ3lsIr98hl+uOk8iXO1KWXqLT5PoQAvzKJbE1BFCfSBVoscpmS5pxUx6tKvEgNV/sbAq5ML7rNz3qz5ds80U0SFymcdKm1CQeeGZJ4Ja1hRHKQD9yzlp2/+ypfK/4rESVBEY1RNSIVr0nJF9FyOyqqocZoTtCsxlGEXrmfIx4b/UV5nxrJ0er5BCzZMTptklTecvnZfKP1P9g3+x1s8lzIjrSce1qRxD5YHOYslyRhn3jz5Sx87/fQ3/0Hbl/yAA8VpFo2OVyYPTir0SS1T+4YwSqKzEq8TKxtNQYqBWcjJAcZT+V5ed84TcPPVFqWfeWdq/F85Cm46QcABFw2Ih4b+2mF2AHufGwbB579GTz/LZjYx4GJDPOsowhFY0CE6TUa6FL6cGT6yTqbGUE+A4QjwFBB3rd+0swPGIwEV8Cln4Ez3nrIfXCqYDnVO/DXCK/DSshto5cm5sUfkVL6pEyyI6HcJFupK151vIY4d3YYCNO50ODnezQMxYoakBNB0C3v3zFzgi9afXgcFlLpKvGyuUMI4uQ1Nw67HUVR+OWHzqXBuhIKHwa7p7Jsk0+qchNqCOjmZb2LK9U1LFX2Y6BgFznO0qQ/Cpc06obddjZ3y0SBxZk1EJkPtqqZv4y3n9NOKl+k6P9X7O2reENnO/C+yjp6R8wx6THiWX9NGYFSfABow6knUVx+PnFFF9AFwCcMwUAsy+PK7Vw+9mO293TSJxpoVGL0R85n075GsINLjzMq5hOx+vAldtRklK3dtJkvWe/GreRBtdI6axFzG1/hufgqLmYzNJnEa14DX33Iw3hgKZG9j8NltWn/AA9uGsRPiguUjdytv44L1C0sVHt5TF/BqkCawMafw9kfrCw/lpYTqrsYheBMmirkV05qaWuIASPM0vSobGU0qcH7PS90s3f7et6ZuhtvIExjcgVX2J6GzguxhDoQjGPYfWi5eO3knT2UeDXb81CADfkZXK1SIU7rDkRpKvaj5KKURnaSTBfYuG07QRIsVg+QV51Y9z6OizcRVNKU0LCgS+LWML9mO+PpPEs9echCwjGDYCFFuqDjsWYxhIKqCCyZUSJK9dorwkBx+Nk0HAA7hPQxtosmEkaGmWbB3wHnfFoL+wnNmAt0M6GGaUzuJZUv4Ux0Y0WnNb+XDC5GDa+s85WLVV4e4llJfiuh0vQYMaegy52GIuCRofOwx05SUtccAAAgAElEQVTvhLxP1ewoXjMcL1CwF6LMdaUhB50ds/jR6tXA5Xzud5tJvCwz+lRFkMKNhzRX6U8DMH/+YnM/5hDcv1v6+xwcpHgdXMdLnp+nd43yOk83WjGNMe9K2AppRxP2xABffWgHuzc8w++sn2OnRV4Hm7/pkDlvdsTD1mwTrxMG7nQPii4TL9JDO4lloJ1hhL+dUtbC9lyQN2lboATpuddjUa2QDZH0z2egOwtW8ClpAmoWd3MXXPoPnE6oz9qnCB0hF7uLDTKGfpTp2WXUFlCtX8I6XltcvaSFZbNbyZ75AVgijb5WTcXvtDJBmXj58dgtpCYpXnZf2PzOC3b5tj630Ys/GIKmRTXbaPDYURXIOKRK9LIuH9h2pcgGk+hcWJQVucuTVoPXRndOkjdHMQatK6bc/0avg8++fhHWC2+DzvNqt+u10Z0rEy+pePknTb5GUk6wdj0FDn/NWE1V+I+3Luf6m99P8b2PksFBzi0zPXOdq+kWzZXSG3E1QC+NRPShar0uYJW2B7eSJ3ve38MHnwC7l09e0UXbxe+WYeJ5MsS7sMWL3aKy17ZQ1lY7qOjkSCLHd57YzTeDv0YVBvcrl/Fn03O2xnIm653nyBDlJON0ucSCozAB7jBeuwW3TauEGlVvI08lTM9czwuVcSXd4OuP7GRO733MnngW174/8Uvbv+BJ7Ycz3oLPId/vS1av9HgVdFxM7fGKZ4s026R6s7FkZuKaz8fdw6lKqZJte/Zx69d/yq0vXcPdnv8E4Pvijah6jsvU9TRZMuwVZsmNaRSvmS4Zqo7ZWxFmbasGa5FBUz2x58erNddMWD3BqicRKooXgKFYUN58F7zlf7Db7ARdVkYJoKZHUDHw5qWy1JTeRVZzM1SU9+oXf/40T/z2h3DX64in5D5VFLtslGS+xGxH2bMofw8NHjt7c1K9UjNjzHDJMGPC1oSnFGWW/VCPo8duJSWqv8dndHk/LMi8AvOvrfyOQCrOUbwIzV5DvCRplveJQIFCCsMQvLB3jDcG9oCi4Zm/Wp5XLYKRGOChLUPcoEjCN79kloMwX5YmozPsYmNa7kOLGMJZkKHFeK/Mao4UB1BDs4h4bPSZhYuZfy3XX3cjP/nb18On95NqPLNirveTxlpKgiNwyLZONeqz9ilCZ9jFpoyU8I813CgqilfdXF/Ha49mv4Of/815uK//Kqx6X+XzsMdWMddLxctaQ7xc3lDluzLxmg4WTaXF70T3dWCg8WdjQeW7x4vLKAiNWYVdMPMi8MoJNuKxMyomkaFpiNfhEHbb2Zcx9zk9KonXJMWrXP7AVkyB3TfFGiT8TivXLGnGufQGWPxGIh0LyWOj36w3ZPU381hyJjZK3GhbQ0I4SeLiUqs0+zsXvA5aZKjnmqUtvPvyM2WY2JwcFUVhRsBJrx6W9ZCytX0pv3D/VlbqG1idfQTlgo8zc9FZRDuuApuXLe7zGDb8gIBcjD0jKbb0juPccz8KBpbcOLgbUBSFJr+jEmpsndHBb+Jdst/lpCr0G3plcc+bfDsZi5zF1fmvkrGFZfh40RvwOaUKWbBI4pWdTLyytcQmni3SaJHEa0iE0O2BSkmIPSMp5qry32pmnFBe/nt5aRNFzcX3sleS1zycre4gpKbZYbQjUChFew8p1DqRLtCkSXIyYW2qhMzCtiIJ4aZkD+ItTdBiSdYkhDi8IRJ4iJufJYWTpPlv1ddKy5wzYMHrAVkSpb8UQBEGYeK0CHnvOEoJihYv65PyNzC0ZwOh3b+CvjVkzVB2gDQFxS6vUT5Bhxk6rChebhs95guCLTdGxCrP56i1BZfIMNNqmvY9TZV99zosNaH/TcZssppXLnPDd2rOjwwzK+SdTTUlJbIFnaBVknXdEYRCim2DCaKZImfqG2HGSvyBEA6ryogSwogPkM3nuV57seq1AnAfSrya/Q52ZCQZbVailTBvYUSWl/BkeiE0i0WtfoympeiKFS77XM06/E4rKRwYqPiVNJZC8pAXpNMB9VDjKUJnyMWvNgXAxjEb7IWY5PGqK151nCaIuO2Mj8uHXMHmxyO06hu21UVTyIeigO6dAe7D1w4D+OGtqwhrS7n/xXPZ+0JV0Yk72hhpWE2b3w5vuksaZpHEa4JJhO4YWitVjsFjq4RLSY2SyJVoc+bBgJwthCUjJ0+tmDjiA/3Od64EVgLvZ45Zm2s/LbQzSkNLB7/b2MkX7Apd7Ge7aEcTBl2Y6kzjgmnXW0ZLwMHehLkP8T4e2JPDVxhl6dB9PLZlJY83PQq0wyWf5ttWB7ACeB/F77/ISM7MHMtM8LnfjbMk+gSfy97BZeonUYwSuKWi0OxzkE43ggHzZ8+hsN7Gfv+5zNnxR7jma6CqPLNrlGYlii+xC9/r/pnv3nAdVs/lkB8FZxC/U5KanMWHNxcnXZhUqDQfr+llGM8WidjkuYoLNxlnM95EP+OpPOPpAvOs8vw4i1GpAhmQdzWTbVpJYbuVIUsrnYVhPCLJmPAzSgD38/+J5cVvw8fWQKADwxBEM0XC4SQxPCRxoxQzKBgELQUmcJC22Yhk4jTaVXqzDXQyjEfJ4fFL1bZHNLJU6a5RvPDPqLk+MwJOto/I67NU3V81zANOT4Cn+jvJuL1cq73M/Mx6AEqJQewUcSl5urXZzCztQyvEadUSgFK5LhGvnThuhGrBnp8gZA1DDgaUZuYCc/RuSXydwco2PXZLpcQJwIVnLkVbeCOE2g4hQi1mmDltb8BxkOIVtJUo5DUMqw9LIc0Le8fwkiEY2wJLP4miKDT7HAzoQSx6lpvd62nQ4/yg9Ho+ZHkQbN4pE3wafQ6GDR8ClUYlWlEbteg+fKSw5GMQnMV/X70SxJm88PQCLmpaXLMOv1P2mM1pHkKlJGoxVSlRczqhPmufIrSHXAwZflm35Bir15enIAVx2OXqqOO1RMhtI20pZzUeFGp0BJgRcPL4311C+Jb/hhuPbPJf0OyjoaEBo+1sMjgqhRP/9dZrafvwffD2e8FWVSMiHjslLKQ1P6gWOOihfDQIe+wUsciMQzPUOMcr3/DHnTOxZsdQMFALx/ZAbw04sVtUehWpznV0zCKBmy1CFn4cEJGKlwpPc82EOe06/U62Z0zilejn9ge3s+GB/yS49lvcZvkt7fG1sPwdNV4sgIDLylBBnjcjPc6W/gRNKdkd4AKrScjMCf7irgY8c86B8Dz8c85iRXuA3+fPhOQAfdte4KGNvWib7uWjIVmugLmXs7IzhDc8A1pl0VSfw6y+r7oPDTUC9z/xLPN3fAfySRK5IiFVEq8ELuLWJoj3VXpIllu/ePUYKyNmxfbbXkZ5410A7C42Mlftx6ZniAk3fUYYt5GSWapmZ4B4tohuCPwiTkLxkRQOFAROCniVHGnhZAI/DUqcJi3BmPAzjgxXBULyvJTDjUlcVRXpoDIti1p9PBaVCtVV6tqa7/zBMIpq4U+FZVynvoTTNMeLxGAltL0fmZHrKCVoVKKSHGlSKwm7bQhUSo4QzsI4QU2O31WU+zcjv08qWZMiIh67BR2NLJL0XLh8MbZF11QSNiaj7O+LapGaUGO+aBCwlshhJ4ODnT2DqC9+lzs8P5P9R2ddIsf7HGw36/DdZv8jRauXb5TeTM4aAHf4kO2BJPk6GilriGailYxST/oAy9ymohuahd2iYbda0C2uQ9bhN9XVpOKpeidPQ8WrTrxOETrDbgQqWU/bMStelcr1dY9XHacRzpsTJjx7BYTnkfTOq/WUOOXENbvBg+qJTPvwnQqNXjkJJCzmmGnqkEU80qxbdEagcSFYnVMudzjMbpDhm5hzJgysl2Zv03M0aO3AmZdv9wrimB7omqowK+Jm2FImXjPxOSy8YEhy2C8iDJsZnEejdgG0BJxsTUuFLzm8n8F4ji59LwB/a/mt3MdlbztkXNBlo68gz83oyACpfImF7ANglVYmXlIB+fAlc/j8O66C29ZCsJOrFjdzz9h8hGJh0/3f4dlffoOPp77Ju9L/Iyf6piWHbM9rerzSqgeRi1EoGRWiATDywk9pGXoMup+reOqE1Q2qVWb+xfvYPZLCSomZyhAChYBI0KTEwO4HZwC/10XAZWV7IcIMs2Dvpcvns2nJP/A3hU9IP5LZ8mm3SeIac90MaS0kDLMSOlncZEnjYHc+yGxlgJAxzhh+oqq8Nm5fCI/dQq+QIbwkzuo97qtVvJbM8DMkgowS4CqLLPkxYJJrqyvA2bNCPKKvrJRbAVDTw7Q7JCndVZKkLUSSoDFRCTOCVLwAcrYw7lKUoCbHrDc7ogQz+w/5nXjM65BTTcJyUI27mmtm+vtGlLAkXkJQ0g0KuoHXUiKLjYGsRiHaxweyP+Ka0uOy92v72YBUzNbH5HlpzexALLyBrrZGJha/G+ZdNeU2y1m0o4RoU0YJKikKip1gcZhz3GYtsdDsafcZqsQrarjoUM1s4cNYAk4V6rP2KUK5pMSEbcYxe7zK2ceKMOrEq47TBu85fyZ33HoF3LaWjLut1lPyKgyuDeVJxh4BzVbjW5mMZe0B3nfBLCyXfEqmjx8HFrX4aPDaeUlbAf2voGTGZI8+FA7QgiaKzLKY/pljfJP++OXzsM+6EM77GFrrMs6dHa4QrwlrU8XUTcPCo1rfjICDMeFDqDbGByRxWqHto9+s4k3H+RCadci4oNtGT1ZOcoODA4BgidoNwAKjNlP0YLzt7A4UV5BfK1dwZf4RPuP8Lfssc0nPuwHOv21Kz6nDqmG3qNILZZrp3ZNKEswqSrJXGt5BrmjgI43iDEiPlBGGXIyewREW2kaxKjo91lnYlBJNpX7wVI3unWE3B0T13li5YDZzV6zmEeMscp520r2bSSRi7N/xCh4yuBN72GdfSFyX95dHyWHVM3i8Ae5LLSGkpHDlRhgVfhKa6a1zBmkPuehDbrdo8UwKNdYSnSUz5P2xWZ9JwOwJ+YJhElO7lysWNfGMcQZFrPzZmI9AwZoZodUu/WjbCvJYQkoCX2miYqwHGdYHSFuD+PQoPlUS2d3qHIqqHTHzArjm32r2x2uXxKugmdnD0/yOQHoIWwNO9hWCoOch3kuuJCcen1okK+yMFayV5unZy2+H9z9SCSE2+R0MUTXr25bfzP0fu5DWG78E194x5TbLmcwHin4WmWVjdplZkOcjS5MQnDntPkOVeI2VnLTWFa86Dkaj147NojKkNkGs55jGVup4Ierm+jpOW7jtGmlhhrlexcOv2e/AqikU/Z0QmlPxdB0Mh1Xj89cvwnPW2ysG52OFoihc0tXAT8e7AMGywiv4lTQZxU1vUR7DEpv59n2Mb9LXLG1hcVsYrrodNCu3XjCTuauuhKU3s81zHmOKSZiOVvHyOxGo5F3N5MZ6aFRiNDHO+pa3UTrnI7D6H6ccF3RZGdWlsjcxNkSbMlbxH9kwq+CbocaD4Xdaue2yeXw1cwMFxYa3NMHst92B+x0/lsRrGvicVuK4UAqycvnkUOMZqiSNxWEZ7nSLFDgCtAYc7CtKpSk6tJ8LApLwvqRLYhpO760hXjPDLtkEuQxnkK4mSTKGHLMZ2rue9f/z99z057dzk28HCoJe1yJiulRKXeTQShmaGyI8ZSwnLSQRiOInbTNJhMNPR8jJmFWGAXWrF1FOFDlI8Wr1Owi6rGwxeyBmcLLRMBUbh483r2zjw1csY9Oq2/lK8RZKzgjO3EhFYe0WzQgUwkoCR370IMVL7nNcDeI34vhUeT4f/uK7sH5uCPXWByrJGWV4Ktml7kP8X1PhonkN/Hh0jvzPjj+SLUgvnlstksVGSjgq9e2cS66vCe23+ByMlBVcT7NMgjkCwh47mqrQV/JXihs/lZO13M5IPStbnU1RHmYyysQrJtzVshd14lVHGYqi0OCxMyL8svpvIXPkQSZEvY5XHX8B8NgnZTU6j1/x8jutPPi3F9H+tv+Ad/zqBO3d9Lh0fgMv5joo2INcrGzAK1JkLT725sy+hZppgH+VD/Tz50T4whtXwpv+G0vzQoygOcm1LD+q8a0BeW6Tjma0ZB9XBmX22XXXXIflmq/UtGCajKDLRhoHQrWSiY1wVUgSyTVGV3Uh1/Sh4Hee28GqxV30nP15OPM9MOeyI+6rz2EhZkiV30sGr1aoZAaWvTzKqCw14NJT4AzQ7HeyJ2e2oIoNsMAuyws8n5MqnjM3PIXiNSl85gzS4LUTcFl5JhqmQwyxYPwxbKLAbeLnAAx5FxMtSRLjIYdaTNHe0khJtfM0KwHI2yNkbaYC6PDzznM7OeeSa2Hlrex0LMdidjA42FyvKApLZvjZajZwnrA201NW5Ow+vA4rt10+D23ZW1kv5pG1N+AujNFkkXPBOH4ymo8G4lizYzWKl8smW2RN4CMkYrLVkc2LqmnTvph4TMVL2LyH+L+mwjVLm9lZaibhmwfb7ydXlMTLqRTIY6u+VNm8h/R/Xdrmx253UogshlXvBVU77LZAhuMbvfaq1xF4We9CR0VzBuFNPzriOrymn3ByJurpaK6vZzWeQkQ8NgZL5k2RHgXboVW2p0LV4mVQr1xfx+kKj8NCmrLi9epq6XQ1eYHDl6A4UbhobgOKorLZsYqLcy+RN85At3l5JeoHGxU/1Il8oN9+41KKpUWQW31ITbPp0BqQ53ZcayCQ38dFkV7IqtB8xmHHBVxWQKHkCFJMjnF+gxM9rfKwfhZnqbvktTpMQWe7ReMH71oFHH2/O5/TyrjZysWnZPBpBQaLYfxK9YXTGt0DCBx6EhxzCLmsbMzJMZb8BGE1RUmxcGBSHa3J4bKZYRej+MkpDhwiB84giqLQ1ehlXU8z77HpNBHFEAqNxT4Iz0N1BhkvymMNK3EUYeDy+Dl/TpiXxy7l2uwLLF+6RJrqJ4rgbeYiv8ZF8xqAb3HlM/toKXlhfFC2pDkIi1v9/GH3TAAy7hn0ZUxiOEltKofYktYIfr2PiCbPSUy4GRZBVqq7ZNV6T60nK+K1MaT7cCoFAvp4TQHiqdDid7KoxYcy80KwJA+7LMDKDklcn9HO47oDP6YYl8TeLnLksFd/240LDyFxKztDbPrilShcecTtTEajz8FwqnpuPvqmK1AbVqMEZ9UQz+mgqQpeu4W4PkkZOw0VrzrxOoUIe+z0jZWLNY5O2d5kKlQLqFJXvOo4bXFpVwO3nDMTw/cpVLPw518C/C4rZ3YE+eXQAv5NeZRSdAPjgaUMjAfIYqNLNw3oJ/CBXq78j//oSBdI1SPgsrIz6+f1YoIzjO2yWv8RJuDyttKaH5eeoIv9DFk72FkwVYtpwoyvBj6HlTHTV+YjjVfNs0eEWIAsjjqmhIkUx2lmAptZqiPottGbc4IDHMU4AZLkLP6a/p0HK16gMGabQVt+b4XczGvysO6ALMZaQuWn+uW8x/IotJ2FW7OwsyhVkibFzJyzefj3m5eRyi6C7EXc2HGeSSxWH3JcH7x4NjAbuHTK4z5vTpi7nm2g5OtgxoKz+cK110MpAnOq64p47CgKTKhBWoyNhNQUQtFwewP8PrOST1jvkwseRDyafQ62xz3chGyhhevwLyZOm8YfP34RcOSwH4CqKly9uJn/WreE6zSBc9uvgKVYjDxF1U7amES8poByHDaYZp+dof6q4nXu0oVHDC8eDJ/TSjx5ehOv+qx9ChHx2DiQm0S8jhJV4lU319dx+qI95OL2m5aiXv456DjnVO/OMeHS+Q08kl+MIRQspTRWdxCBSrfRhNdIyIVOg4rYrX4nL407sSgGLRMvw8Lrjjgm6JLEa1x3E1BSRHI9JLxz6C6H6U4C8fI7rQwXTeKlZHAreaJ4ySFJzzNChlfnqgNYCnFwBgi6bMSQJDJEEp9IULAFmRCTiJe71uMFEHe0y+ei6cHravKyT7RgKBp93hX8Snu97HHZeT5uu8Z4QZ4PWSsLsHlo9DqY3eiFzvNflY/2kq4G1v3TlVg++iLuK/6Ri7saYNENNQWErZpK2G1j2AgSEgmCIoHiDHLzWR38Ur8UvRzVOMgMv7w9wMMxaegPZPbLrMITjPec38ku2tlgX0XTun9nsdKN1chTVB1kyorXcZRtmQ7NPkc1u9fqPmbSBfJeizNpXD2rsY7JCHvs7MuaHpjUyFGPq9TxEvXK9XXUcTJw6fxGovjYJKQZ2uWXHp/uyR6iI1Tffy3QGnAwWM5iDM2Giz55xDFBlyQ7AwUnjURxpHoxgrMZEGEM1XZMpT6OFj6nheFCWfHK4BB5ssJOWpHn8MGC7DKwQOlBLabBESDotqGjUbT6CCgp3HoC3REkg508pkI4iYyE3DbOmRWiMOsy6TszvU7XLG3mXRd2oV/+z7Tc+C98//++FeVja2H5Lbjtlko5iRbNrKJ/BMXwWOF3WuU6temLBjd6HWyIOVEVwczUK+Br4eZV7QwpYdZpyw85VpDhvB7RWO3WcBLux7mNXv7lhqW8L/4B4oqPO6w/QNOz6JoDh9skNNMoXseDxsnEy3N8LwB+p5W4MImXzXtU/rLXGnXidQoR8dgZ0id5vI4SYnJftrriVUcdJxyLWnxEPDaeNpYBYPeE8NotVeJldR92In2tcHFXA+6ZKxGR+fCG7x1V7bJy5ldvzsksdRhF6DTPXsKqmREKZ7wDuq454fvpc1gZzEkvk09JYzNkvayCVZKFdcY8UqqXs1Szl58zUCGIGc1HSEniKCUQziCgkFBNsjEp1KgoCr/40HmsuPHj8M77Kp83eh3803WyN6d9zoW0BV0QngOqZlZzl8SreVKo8bVGo8/OjrSZfJDphaU30x5y8ZFL57Cl9WZYfBP422vGrOyU52JtOSniJL0IvGVVG5q3gXv1y1io9GDJxwj6/US6zpVN248yGeRo0OxzkMBFSXPWqJnHghrF6zQ01kPd43VKEfHYyGPDsHpQj4l4yb+KME7SntVRx183VFXh4q4Gnlq/jI9bfoPiDDAz4mb/kEm8TpMH+rvPm8m7z5sJXH3UYyyais9hIVqqEoxwx2J+ecFZwHnTD3wV8DmtTBiSFAZIYdGzZLGj2/0Y+IjlPKzX53ChukUOcAQqIdGY4iNIEnshSs59FgAZSwAKozXE63jgslkwUMlhowGTeJ0CJbPJ62BbWenR7LLjAPCpqxbw1FNDcOlHDhnT4LUzK+JmbXQ+12hrTtp+K4pCV5OHzftaUW0CiilWzZ3BqqvfBLzphG6rPeQCFAredizTFEo+EvxOK31lxes09HdBnXidUkQ88g0w7wjjPIZQo1ERvOrlJOqo42ThQxfP4Y9+G0KLoyy8gVl9SboHysTr9HygHy2CbhvR2KSJOjznpG7P57CSNpsXNymyiGpecUBwJqrqJ1xQebE4n4usG+QA01wPMKq7CSmjaPkYVq8Mg+ZtQSjwqv1oHrsMQ6VxEhFmYdxToHg1+ew8WSZei2886nDvys4ga8dNxesk7ve8Ri/P7p1ULuM4ukIcDc6aGeSnHzgHp/8nx308ftdkxev0/J3WidcpRJl4ZW1hnMdlrq8TrzrqOFmY3+xlfvMi4AsAzIzs4sVyqPE0NOweCwIuG7GYObG5wuAKHX7Aq96eLGGRVr20KfJZ93+uWIrn3PeAodP1Xy/w8uCkcgzOACFT8RooOLlEGUExSjj9DSgKFF0NYERedbh3yQw/NovKGr2LqzWz3+RxGLpfLd6yql32X1S/jLLwhqMed3FXA3/cMBvDFUENtB95wHGiq8nLj0UzBaFhU/STRrwUReGCuRFg6s4JR4Maj9dp+jutE69TiLDZWy6pBQilB46wdBU1oca6ub6OOl4TzIq4GCVAyeLGcpq+SR8tQi4rE8JUvMJzT/r2OkLSv9RLY6XNjNcXqJCc+UGNewdmU8CGjQI4AjhtstXQSMmN3ywqavVEuPMdZ9LsnQml4Ve9X21BF7etnsuXHn0nqy2bsYvcCTfXHw3aQy7ec8Es4KPHNO76M1q4YM6VqNrak6t4NXnQ0dgnWlmg9J404nUi4HNaSeJCoKCcpr/TulxyChF02VAViCmB4zTX1xWvOup4rbCqM0Rb0EV+zpXQ/pdVHuNgBF02YsKcqF8D4jUzIgnWzmIjHYppq7BWq4t3BTUKWNnnMDPkzE4HIbetShABXGGuXtJCuHPxUVXMPxp86JI5zJg1n5e7PgWNi09blWQqKIpC2GO2/zmJyR5djfIa7BZmuPE0Jl4tPgcCFd3dfNhG4KcSdcXrFEJTFUJuG2PCD5kJ0EugHfmSVMtJCOqV6+uo47VBe8jFc5++DDgxE/6pRMBlI1ruBHCS/V0g29VEPHa6s81Qzu6fFNJrcSu0+B30Bc9hweiuSvHTgMtGLDWZeJ34kKjNovLLD52HTCz4+xO+/v8f4HdZafTa2Z/vAF6qIc2nGy5b0MgDt12IxfEguI8/ZHkyUSdepxiypIQXEJAZP6q2CEZF8aoXUK2jjjqOHTcsb8VrOx/0D8HiN74m25wVcbG/Z5ICMYl4KYrCff/nfDyWcyD/YbBI/2vIba1VvJwn14tWx/ToavLSM9ABBqe14qWqskcmnJ5hRjiJxEtRlHbgf4EmpEjzX0KIbymKEgJ+AcwEuoGbhRDRk7UfpzvCHhsDCVPyT48cJfGSfxVRDzXWUUcdx47l7QGWtweAO16zbXaG3ew+MOn5dpBqUm76jafqVQq4bIwzybt0kpMA6pge153Rwk7PRZB8CpqXnurd+YvGyVS8SsAnhRCvKIriBdYpivIocCvwuBDiq4qi/APw/9q7/yA7r7KA49/n3r27e3c3zaZJu01T2qSl7dDiIG2mAg41oNbir6Kig6JWgemMM8g4OiMIjOI4OuBvRR2mMzLWEemoqKACbVXW4gxQKDRNa0kboD+SNGla2iabbrK7ucc/3nc3N8m9yUZ7733P7vczs5P3nvtu3nOfPZvz5JzznvfdwLt6WI9K2zAxwuNPn91jg9IJIxX6sk8AABObSURBVF5ONUqqvi0bxrkzdR7x6ubcsWEeWRzxilpltwdYDd583cVw3cV0ey6llq9nwyUppSdTSl8pjw8BDwGbgJuA28rTbgPe2Ks65ODc8WEemy3/53f4mWV9z/G7GnHES1IWNq8f5yATHKqVi9eXsU5o3ViDZxdvAhidrOTjX6Sz1ZdeOyI2A68EvghMpZSeLN/aRzEVuWqtGRlif/mQVo4eXNb3JNpGvFxcLykDl5QPsX56uLwzbhkjXuvGh3lu8SYApxm1QvR8cX1ETAAfB34ppXQw2qbGUkopIlKX77sFuAVgamqK6enpntZzZmam59foZN+eOWZS8aywrz+0nScOn7kO259aAGB+7ijP7NvHzhUam6ozLt0Zm85Wc1xmF4p/6vemDWwB/uvzXybVii6oW1ye3LvAPEMcrTU5Ml/nq6swdqu5zZxOznHpaeIVEQ2KpOujKaV/LIv3R8TGlNKTEbER6PisnJTSrcCtAFu3bk3btm3rZVWZnp6m19foZPfoY/z9zvsBuOyiKS5bRh3mHtwHX7mX4cYQGy/cxMYVGpuqMy7dGZvOVntcrvv650nrb4BnDvJdr/+epfJucYmHD3Dr/ffQaq5n7QVbVmXsVnub6SbnuPTyrsYA/hJ4KKX0h21vfRK4GfhA+ecnelWHHEyMDJGoFQ/KPnpoWd9z/FGNycX1krJxfL+sdy7r/O/Yci6/+PqXUp/6TVi7sad1k/qllyNe3wn8DLAjIsonn/IeioTr7yLibcBjwE/0sA6VNzFS/AiONcapzS0z8fJZjZJWgdFGnV+54UrgykFXRXrR9CzxSin9N91Xfn93r66bm/Ey8ZofGqdxdGZZ39NaemKQG6hKkpQTe+0BWxzxmq+PwdzyEq8THpLtXY2SJGXDxGvAxkeKfWnm6uOw7BEvH5ItSVKO7LUHbHHE60htDFxcL0nSimbiNWATo0XiNRtNcHG9JEkrmr32gDUbdWoBL9A8+6lGF9dLkpQVe+0BiwjGh4c4zCito4f43I5HYPqD0DrW9XtS+12NkiQpGyZeFTA+MsSh1KTWmufBO2+D6d+BA1/ren7r+CIvR7wkScqIvXYFjI/UOVg+r/H8uSeKwvnZrucvrfFycb0kSVkx8aqAidEGzy2MAHDBwp6icP6FrucnR7wkScqSvXYFTIzU2Ttb7Oe1qbW3KDzNiJeL6yVJypO9dgWMDw/x6KEi8bow7SsKTzfitXTgzvWSJOXExKsCJkaGONgqphoblHczLmvEy6lGSZJyYq9dAeMjQ8zQPLFwGWu8ig1UHfGSJCkXJl4VMDE6xOHyrsYlZ7yrcTH78kcoSVIu7LUrYGJkiEOnjHidbqoRaiZekiRlx167AsaH6xw+q6nGRI3FXeudapQkKRcmXhUwPjLEMeocSY3jhWcY8VpKt1zjJUlSNky8KmBiZAhgadSrVR8943YSSyNeJl6SJGXDxKsCJkaLxOtofYyjqcHc2NSyHhkEuMZLkqSM2GtXwHg54rUwNMEB1rJQb55xH6/jI17+CCVJysXQoCsgmGwWa7tao5PsP1JjonaGqcb2uxpdXC9JUjYcLqmAS8+b4MM/fS2tGz/A++bfynxtZBmL691OQpKk3DjiVRE3vvwCnnx+LTvTU8zVRmH+ua7nJlLbPl6OeEmSlAuHSyqk2SgelD0Xpx/xKtbWO+IlSVJu7LUrZLRMvI6cIfFqtZI710uSlCF77QoZGaoRAUcZWcY+Xi6ulyQpNyZeFRIRNBt1Zhk+43YS4RovSZKyY+JVMc1GndlUjni1b5Ta5sSHZJt4SZKUCxOvihlt1JldfGbjwpHOJ6VEhGu8JEnKjb12xTSH67yQhosXXaYbWwnqLq6XJCk79toV02zUmWmdPvFKJIaWZhidapQkKRcmXhXTbNSZOVZONZ5mxKu2mG854iVJUjbstStmdLjOTGsx8eq8pUQrJWqx+JBsR7wkScqFiVfFNBs1Dp1hxAtHvCRJypK9dsU0G/W2xKv7iJeL6yVJyo+9dsU0h+s8v3D6Ea+UoB7uXC9JUm5MvCpmtFHnuYWh4kXXES+oO9UoSVJ2etZrR8RHIuKpiHigrezciLgrIh4p/1zXq+vnqtmo8/z8me5qTNTCneslScpNL4dL/gq48aSydwP/kVK6HPiP8rXaNBt1Dh5bHPGa7frYoKUfnImXJEnZ6FnilVK6G/jWScU3AbeVx7cBb+zV9XPVHK4zywgAhz77R/Cha09JvlopHV/j5VSjJEnZGOrz9aZSSk+Wx/uAqW4nRsQtwC0AU1NTTE9P97RiMzMzPb/Gcjz++DxHKaYa1xzZC0fg7v+8k1Z9ZOmc3XuOkhbmoA4PPvg/HDjQ2xnbqsSmaoxLd8amM+PSmXHpzth0lnNc+p14LUkppVh60nPH928FbgXYunVr2rZtW0/rMz09Ta+vsRxP37ub9D/bmU3DNGMOgOu3vhzWblo6565nd/DCM4/DMbj65d8GV23raZ2qEpuqMS7dGZvOjEtnxqU7Y9NZznHp9zzV/ojYCFD++VSfr195F61rMjxUY1/tfPbWLywKZ5894ZxWco2XJEk56nfi9Ung5vL4ZuATfb5+5b3q0vXc/xs38MeX/SV/MPwLReFJiRe039XoGi9JknLRy+0kPgZ8HrgyInZHxNuADwDfGxGPAN9TvtZJRht1xsfH2XO0WRScPOLVwp3rJUnKUM/WeKWUfrLLW9/dq2uuJJPNBruPjMIwpyReieTO9ZIkZcjhkoqaHGvwTGuseNFpjZc710uSlB177YqabA4zywipNtwh8UrUcOd6SZJyY+JVUWvHGkCwMLL21MX1CR8ZJElShky8KmqyWWyiOj88CUeeO+G9YsSr5FSjJEnZsNeuqMmxYQCODJ3TYXE91KNVvnLES5KkXJh4VdTkWDHidbi+puPi+vriFKMjXpIkZcNeu6LWllONM7EGZk+dagzKES/XeEmSlA0Tr4oabdQZbdQ4GBNdFteXx454SZKUDXvtCptsDvNsaxzmZmBhbqm8ldo2UDXxkiQpG/baFVZsojpevGi7s7GVEvXkzvWSJOXGxKvCzmk2OLBw6vMaU4JwxEuSpOzYa1fYZLPB/rlTE68THxnkiJckSbkw8aqwybEGe+dGixcnLLBvf2SQP0JJknJhr11hk2PD7J4tE6+Z/UvlxT5ePjJIkqTcmHhV2NZL1vHNY+s52pyCnZ9ZKj/hIdkurpckKRsmXhW27crzWTs2wt2jr4Ndd8HMAaBYXO8+XpIk5cdeu8KGh2r80Csu5E8OXAutBXjg48DiiJc710uSlBsTr4r7kVdu4oGFTTx7zsvggX9YKnfES5Kk/NhrV9wrLprknNEhto9cA3u/CvOzJ67xMvGSJCkb9toVV6sFr7x4HZ89vKWYbtx7H60W1MLF9ZIk5cbEKwPXXLyOf3t2U/Fi9z0k0vEfnCNekiRlw147A9dcMsnTaS2zExfDE/cUO9e7uF6SpOyYeGXg218ySQQ82rwadn8JWo54SZKUI3vtDKwZbXDF+Wu4Z+GlMLOf9cf2U6u5uF6SpNzYa2fi6gvP4b9nLgTgovlvUkvpDN8hSZKqxsQrE5s3jPPlQ+sA2HhsLxGOeEmSlBt77Uxs2TDOs6zh2MhaNi7sadvHy8X1kiTlwsQrE1s2jAPBobFLuPDYHuqOeEmSlB177Uxs3jAOwFONTWw8tte7GiVJypC9diYmRoY4b80I30wbOb91gOF0pHzHqUZJknJh4pWRLevHeWjuPAAuWNhbFDriJUlSNuy1M7J5wxj3zhR3Nl4w/3hRaOIlSVI27LUzsmXDBPcd3gDA1PzuotC7GiVJyoaJV0a2bBjjEGMcSOewYWF/UeiIlyRJ2bDXzshLz18DwK7WRW2ljnhJkpQLE6+MbF4/xnC9xsNp0/FCpxolScqGiVdGhuo1Lj1vnEdS24iXU42SJGVjIL12RNwYETsjYldEvHsQdcjVFVNreLh9qtERL0mSstH3xCsi6sCfA28ArgJ+MiKu6nc9cnXF1AQPO+IlSVKWBtFrXwfsSil9I6U0B9wO3DSAemTpiqk1PMeathJHvCRJykWklPp7wYg3ATemlN5evv4Z4DtSSu846bxbgFsApqamrr399tt7Wq+ZmRkmJiZ6eo0Xw/7DLd71uVkeHf0pAO5+7d/Rqo/09Jq5xKbfjEt3xqYz49KZcenO2HRW9bi87nWvuzeltLXTe0P9rsxypZRuBW4F2Lp1a9q2bVtPrzc9PU2vr/FiONZKvOtzn1p6ff3110Oj2dNr5hKbfjMu3RmbzoxLZ8alO2PTWc5xGUTitQd4Sdvri8oyLUO9FrzvB17GvcP/wrUH/x2GRgddJUmStEyDSLy+BFweEVsoEq43Az81gHpk6+2vvRS4FLh+0FWRJElnoe+JV0ppISLeAdwB1IGPpJQe7Hc9JEmS+m0ga7xSSp8CPnXGEyVJklYQN4GSJEnqExMvSZKkPjHxkiRJ6hMTL0mSpD4x8ZIkSeoTEy9JkqQ+MfGSJEnqExMvSZKkPjHxkiRJ6hMTL0mSpD4x8ZIkSeqTSCkNug5nFBEHgMd6fJkNwNM9vkaujE1nxqU7Y9OZcenMuHRnbDqrelwuSSmd1+mNLBKvfoiIL6eUtg66HlVkbDozLt0Zm86MS2fGpTtj01nOcXGqUZIkqU9MvCRJkvrExOu4WwddgQozNp0Zl+6MTWfGpTPj0p2x6SzbuLjGS5IkqU8c8ZIkSeqTFZ14RcRHIuKpiHigrezHI+LBiGhFxNaTzv+1iNgVETsj4vvaym8sy3ZFxLv7+Rl64WziEhGbI2I2Iu4rvz7c9t61EbGjjMufRkT0+7O82LrE5vci4msRcX9E/FNETLa9t5rbTMe42GYgIn6rjMt9EXFnRFxYlkf5uXeV71/T9j03R8Qj5dfNg/gsL6azjMu2iHi+rc38etv3rPjfpbb3fiUiUkRsKF+vmvYCZx2bfNtMSmnFfgHXA9cAD7SVvQy4EpgGtraVXwVsB0aALcDXgXr59XXgUmC4POeqQX+2PsZlc/t5J/099wCvAgL4NPCGQX+2HsXmBmCoPP4g8EHbzGnjYpuBc9qO3wl8uDz+/vJzRxmHL5bl5wLfKP9cVx6vG/Rn62NctgH/2uHvWBW/S2X5S4A7KPas3LDa2sv/ITbZtpkVPeKVUrob+NZJZQ+llHZ2OP0m4PaU0tGU0jeBXcB15deulNI3UkpzwO3ludk6y7h0FBEbKf4R/UIqWvtfA298cWvaf11ic2dKaaF8+QXgovJ4tbeZbnHpaJW1mYNtL8eBxcW0NwF/nQpfACbLuHwfcFdK6VsppWeBu4Abe1/73jnLuHSzKn6XSn8E/ConxmTVtBc469h0U/k2s6ITr7O0CXii7fXusqxb+WqyJSK+GhH/FRGvLcs2UcRi0WqJy1sp/gcKtpl27XEB2wwR8dsR8QTwFmBxGmTVt5kucQF4dURsj4hPR8TVZdmqiEtE3ATsSSltP+kt20v32ECmbcbES2fyJHBxSumVwC8DfxsR5wy4TgMREe8FFoCPDrouVdIhLrYZIKX03pTSSyji8o5B16cqusTlKxSPWHkF8CHgnwdVv36LiDHgPZyYhIozxibbNmPiddweinnkRReVZd3KV4VyGu2Z8vheirnzKyhi0D61tKLjEhE/B/wg8JZymgxsMx3jYps5xUeBHyuPV32babMUl5TSwZTSTHn8KaBRLqJeDXG5jGKN6PaIeJTiM34lIi7A9tI1Njm3GROv4z4JvDkiRiJiC3A5xULgLwGXR8SWiBgG3lyeuypExHkRUS+PL6WIyzdSSk8CByPiVeWdaT8LfGKAVe2ZiLiRYn3BD6eUXmh7a1W3mW5xsc1ARFze9vIm4Gvl8SeBny3vVnsV8HwZlzuAGyJiXUSso7hx4Y6+VroPusUlIi4o2wQRcR1F3/QMq+B3KaW0I6V0fkppc0ppM8XU2DUppX2s8vZyuthk3WYGvbq/l1/AxyimPeYpfmBvA36kPD4K7AfuaDv/vRT/O99J291WFHeWPFy+995Bf65+xoXif6QPAvdRDO3+UNvfsxV4oIzLn1FuyJvzV5fY7KJYM3Bf+fVh20z3uNhmeBvw8fJz3g/8C7CpPDeAPy8//w5OvIP4rWVMdwE/P+jP1ee4vKNsM9spbtR4Tdvfs+J/l056/1GO37m3atrL/yE22bYZd66XJEnqE6caJUmS+sTES5IkqU9MvCRJkvrExEuSJKlPTLwkSZL6xMRL0ooREesj4r7ya19E7CmPZyLiLwZdP0lyOwlJK1JEvB+YSSn9/qDrIkmLHPGStOJFxLaI+Nfy+P0RcVtEfC4iHouIH42I342IHRHxmYholOddWz7k+96IuCMiNg72U0haCUy8JK1GlwGvB34Y+BvgsymlbwNmgR8ok68PAW9KKV0LfAT47UFVVtLKMTToCkjSAHw6pTQfETuAOvCZsnwHsBm4Eng5cFf5OLg6xaNMJOn/xcRL0mp0FCCl1IqI+XR8sWuL4t/FAB5MKb16UBWUtDI51ShJp9oJnBcRrwaIiEZEXD3gOklaAUy8JOkkKaU54E3AByNiO3Af8JrB1krSSuB2EpIkSX3iiJckSVKfmHhJkiT1iYmXJElSn5h4SZIk9YmJlyRJUp+YeEmSJPWJiZckSVKfmHhJkiT1yf8C9tTYB/5Gl5kAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fw1SP5WeuixH"
      },
      "source": [
        "Let's zoom in on the start of the validation period:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "D0MKg7FNug9V",
        "outputId": "6cfaa6d6-3d76-475a-e1d0-0a931b0b505e"
      },
      "source": [
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid, start=0, end=150)\n",
        "plot_series(time_valid, naive_forecast, start=1, end=151)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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vON2QmE5P40n8gRCLi9LJT09iseUM7a7ZYHNAWqFMNQohhBCXqbgFL6WUSymVEvs1cANwBPgrcK/5tHuBp+I1homgLHtYLy+AzBn0t54CYHFhOokWg0WWas44ZuvH0wqhqxGi0fEYrhBCCCHiKJ4Vr1zgFaXUQWA38DfDMJ4D/gO4XilVCVxn3r5sFbmdWBQjdjY6OqtJsluZlZsM7cdJIsghZurH0wohMgC97eM3aCGEEELERdyCl2EYVYZhLDb/m28YxnfM+z2GYVxrGMZMwzCuMwzDG68xTAQJNitzpqXyh121uupVsJy0UBtfTN+CzWrR/buAncES/YK0Iv1VphuFEEKIy450rh8DP7l7KZGowd/9ejeNMz/AC9GVfLj7Pjj8GDTsIWBNZU9XOoZh6IoXSBPV13GsqYubf7wNT09Q3/G7u+DgH8d3UEIIIcQFkOA1BmbkJPObD6+ivTvIO+/byacH/glP1gp44pNw8hk86QvoHYjS1R8eFryk4nU+p1q7Od7cxZaT5nRs9cuw7+HxHZQQQghxASR4jZElRencd89yPD0DBHHQf9fvIHs2BDz05ywBzKODEtPAkSLB63WEo7oDySuVZvCKhqF+FwR7xnFUQgghxBuT4DWGrp6VzU/vXsp7VhSSnzsNPvg4zH0Hkbl3AmbwUspsKSFTjecTMXd8vnLagxGN6tMAoiGo2zHOIxNCCCFenwSvMXbzwjz+867FKKUgZRq892Hc0xcBZvAC6eX1BiJmp42OniAnW/xDD5zZMj4DEkIIIS6QBK8JIMuVgMNqodHfr++Q4PW6IsN6nO041Tr0QJUELyGEEBObBK8JwGJR5KUnjqx4BTog1De+A5ugYmu8Ml0Odp4xDz5wZkHbMehuGceRCSGEEK9PgtcEkZd2VvAC6GwcvwFNYBEzeF01K5t9NR5954xr9deql8dpVEIIIcQbk+A1QeSnJ40SvGSB/WhiwWvD7GxCoQF9Z/5SSHLLdKMQQogJTYLXBFGQnkRLVz/hSFR6eb2B2FTj2hlZOCzmei+rHcqu1gvsDWMcRyeEEEKcn228ByC0/PQkoga0dgcpSMkHlASv84hVvNKT7CzKc4EHUFYoexscfQLaT0DOXAAO1vvZUeXhUIOfhoY6PlN4huvSGqFxH0Qj8LGXwJYwjt+NEEKIqUSC1wSRn54E6JYSBelu3WpCgteoYsHLalGsnp4BHgiEFc45b9NPqKqAnLnsrfVx132vYhhQlJHIg33/SnllAySk6uvbcQq8VYMhTQghhIg3mWqcIArSE4Gze3nJGq/RRKIGVotCKcWq4lQATnv6IL0Y3GWD/byeOtCIw2ph11evZds9mZTTwPfVh+BLtXDHffrNvNXj9F0IIYSYiiR4TRB5abri1ShNVN9QOGpgVQqAedOcABxs6NYPll8L1VuJBHw8e6SFa+bkkJuaCMeeJKqs/L7vCjqDEXBP18/3Vo3HtyCEEGKKkuA1QbgSbKQ77ed2r5eF4ueIGrriBWBX+vrsre/G0xOEpR+EcB/1Wx6gvTvIrYvy9DU8+gSenCvwk0KdJwBOtz4X0ycVLyGEEGNHgtcEkp+WRK0noG+kFUEkCF1N4zuoCSgcMbCZwYtoGID+qIU/7WmA/CVQuJLkQw+SaFdcMycHmg+Ar4bQnNsBqPX26tdmTL/oqcYfbjrFlhNm09aa7fD8/70k35MQQoipQYLXBLJ+VhbbKjvYU+OF6VfpnXov/8d4D2vCiUSjWM4KXjNz0/j9rloiUYPoio+QFaznH4sbcTpseqejxUb6Mn0Y+WC4dU+/qIpXV3+In26u5MFXa/Qdr/0SdvyPdMsXQghxwSR4TSCfuWYmBelJfPkvhwm6Z8EV/wT7fgs1r4z30CaUiDG84hUB4Oq502jw9fHyqTZ2Oa/CayTzHuP5wWlGyq/BmZZNdkoCtR6z4uUuA38dRMIX9Ln76/xEDTjY4MeIRqFup36gce+l/haFEEJcpiR4TSCuBBvfvnMBp9t6+HnFGdjwFcgohb9+BkL94z28CSO2qxEYDF5LSrLISUng4R21PH3Uy1+Ma8ht3gwnntbhar6udpW4nUMVr4zpumLWWc/zR1t46kAje2q8tFUfIrrnITj9IrSfwhIJArC3xguAPxCiseYUdDfr95HgJYQQ4gJJH68J5m2zc7h9ST7/u+U0ty7MY+ZtP4SH74St/wnXfn28hzchjLbGy2az875VBfx0cyXJCTbeWfZeVM1GeOpTYLHD7FsAKM508upp83xHc2ejp+Ekn/hDZPD9f2v/LldZDw/eXqfssOhV9tT6SEm00d0fpvVoBYUACWkSvIQQQlwwqXhNQF+7bR6uBBtf/sthwqUbYPHdsP3H0HL4DV87FUQM45w1Xlis3L2qCItSdPeHuWLFcph5PfT79QHaSekAlGa6aOnqpz8U0RUvoKX6GAA/vXspD35oOSvs1TwZuZKOdz8Ft/8MZYSJHPkLB+r93L4knyS7lWjtTnCkwII7zS740TG/DkIIISYfCV4TUFZyAt94+zz21vr4/J8OEr7u2/oA6N/dBR2nx3t44y4SHVbxMsxKlcVGXloSN87PJSXBxobZObDq4/qxBe8afG1Jpu77Ve8NQEoe2BLpaa7EblXcMD+XDVk9OKM9bI8u4JmuUlj6AbpSZzFwZCOBgQirp2eysCCNLP8BKFoJhasg2AUe+X0RQgjxxiR4TVB3Li3kSzfN4a8Hm/jc0/WEP/iEru48eOuUD1/hEWu8YhUvPWv+3TsX8cQ/rSXRbtUVr4+8CAvuGnxtsVsHrxpPACwWyCjF4q9hXl4qCTbr4LShJ20Bm461AtCRtZokzxHy8LCiNINVeRZKQjWEC1ZDwXL9xo173vL31d4d5L2/2EFzp9nL7bmvwt4H3/L7CiGEmDgkeE1g/7ChnC/fPIeNB5v4XEWI8D1/1RWeB2+FjsrxHt64iUTOXVyPsgKQ5rQzIyd56MlFK3XAMpVmugAGdzYaGaWk9TWwuEhPRdK4B+wuZi1Yzo4zHjr7QngyVwNwV/Ih8tKSuCqpFosyqHMtgKxZesrxEqzz2lvrZVe1l11VehE/+38HRx5/y+8rhBBi4pDgNcF98upyvmKGr1+eTIR7n9bh65G7p2xX+4hhYI2FqVjwslgv6LXpTjspiTbqvHpnoz+xkEJaWVyQpp/QuBfyl3L9/HzCUYOKk230OguoIZ9bHfsAmBM+StiwsGugTIe6gqXQ8NYrXg0+Xemq8fRCfycEO+UsSSGEuMxI8JoEPnF1OQsL0thysg1y5sDVXwJPJfhqxnto42LEGq+zphrfiFKKkkynnmoEqqO5OFWQZZkDEA7qDQwFy1hSlEFWsoNNx1rp6DN4LrycWX0Hoc9PStteKlUpe5pD+k0LVkDrkbfc8iN2TmedJwB+84D0zgY9LiGEEJcFCV6TxJoyNwfq/Xo3Xul6fecUbawajo6+q/FClWS6qDOnGg8HMvR9qlWHp8gAFCzHalFcNzeXl0+2c8Ib4YXIcixGGE49h2rcS1PqIg7U+/QbFizX43iLu04bzYpXrTege48BYAz7dfz81wsn+dU288Dwhj16I4f0jhNCiEtOgtcksaYsk4FwlP11fsieDc4sqN0+3sMaF9ERuxrNNg4XWPEC3US1wddHOBJluzdVv9xfo9tCwOCC+evn5dIdDPO3qhCnHXMwXNmw9fsQCjCQv5oz7b109Ycu2QL72FRjrScAnfVDD4zBdOPjexv4zfYaDMOAyk1wehPU74z75wohxFQjwWuSWFHqxqJgZ5UHlILSdbriNQXXeYWj0VF2NV5MxctJOGpQ3dHLtrYkoljAW6XXdyXnQlohAGtnZJFkt9ISMFhc7EbNvnmwbYR7rq46Hm7ohNQ8SC14ywvsG/19KAUdPUEGPLWA+T16q970e55u66EnaF6j/s5Rd8QOhKO0dPXT6O+j3ts3VGGr3vamP1cIIcToJHhNEmlJdubnp+ngBTp4ddaDv3Z8BzYOIlEDqzoreKmLm2oEePZIC31RK/2ufF1Vatyrq1fmeyfarVw9KxuAFSVumH2rfoO0YubMmgPAgXq/vq9gGZH614Y+JNgDob4LHlNPMExnX4iF5iL//vYayCwHR/JFHeQ9nGEYvOvnr/Klxw/pO17+T7hvHfS0j3heS2c/UTO/76jqGApeNRK8hBDiUpPgNYmsKXOzX9Z56cX11je3uB6Gmqj+9WATANbMMmg+CB2noGDZiOfeuCAXgJXTM6Dsah2ESq4gLclOWbaLnVUeHn2tjofqsrD6a9j4pwfgiU/C92fAL6+FYPcFjSm2vuuK8kz9bfnrIK1Id9d/k1ON3t4BOvtCPHO4mar2Hl2tC/fBrp+PeF6DLzD4651V3qHg1bgXBnrP+/6Vrd0s/MbzejMAwG9uhZe//6bGKoQQU4UEr0lk9fRR1nlN0eB1Th+viwheuSmJOGwWTrf1MC01kYTscr1LFIbWa5nesbiA/7MigSvKMsGeBB9+Bq7/FgBLCtPZVtnBlx4/zCFjBgBvP/Z5wkf/CnNuhfbjOoRdwHFCjX4dXq4szwLA0dMI6UX6PMk3OdUYWzNmGHDfy2eGAtXuX+ppx7Oet7gond2n2zC6Goc2DNSdf53XiZZuuoNhTrR06Tua9un/hBBCnJcEr0lk5XQ3SsGu6tg6r7VTcp1XeEQ7iYsPXhaLGuxgv7goDdxlQw/mLx3xXKtFsSDLhopNbeYthhRdBfvQ2lI+vLaUx//hCn7w+Y8RXv2P/Dj5n1kz8DNOrvsR3PAdOPE0vPy9NxxTrOI1Z1oK+U4DZ8gLacU6ePlrh77PixALVKtK3Tyxv4GorxaKr9RHHL32wLDnBbAoeOfSAlRPE8qIwML36Gv6OtON/sAAAO09Qb0DMhSAntY3HNfOKg+vnunQN/p8sOsXb+r7E0KIyUiC1ySi13mlDlvntX5KrvOKRA0sZ6/xslzcH+XSzFjwStfhBiBzBiRlXPB7LCpM5xtvn8/yEjfKloDt5u/y3o99BUtCMh/77R6qyu+hvfwuePk/2PqXn2O0HIYjf4FXfgi+kb9nDf4+HFYL2ckJLE3r0XemF+upxsgAdDVd1PcHQ1OI//aO+aQaPVhCvTD37VB+Dez82eAatAZfH3lpSaybmUWhMtd/5cyF/GWvu8DeF9B9zNq7g9BndtvvaXvDcX358UN84c+H9A7KPb+GZ78o68mEEFOGBK9JZs30TPbVxdZ5rdN31kytthIj1ngZF1/xAih26wX2SwrTdbiBc6YZ34xpaYncd89yWjr7uea/t7Lu6G3sj87gqkNfRt23Dh77MLz4b7DtByNe1+DrIz89EYtFsdBlTgPGphrhTS2wb/D1kZpoY15+Kh+Ype/rTsqHdZ+H3nZ9JJH5vIKMJMqyXMxNMnuTpRfD9PXQtP+869S8vbri1dEThID5j4GettetwNZ7A9R4AjT6+zjW3AVntugHTjxz0d+fEEJMRhK8JplYP68D9X7IngPOzCm3zkuv8YodGXTxi+sBlpdkkOG0s7DQnGp0ZsKM6y/J+JYVZ/DIx1fz9dvmcf/fr8P1ocf5Zvjv2DjrO/DJV/TuyMoXRwSURjP8AJQn6PAzkFwwFArfxDqvBl+Awgxd2XvfLP1ZT1ZbdWAvXAmv/gQiYfN5SSilWJ3eQwQLRmq+rqgakfOu8xqcauwOQsCseEWCI9aPnW376Y7BX1ccroP6XfrGyWen3JS5EGJqkuA1ycTWeQ328ypZO+WCVzhqECt4vZl2EgC3Lspj39euJyXRDg4nfOEMLLzrko1xeYmbv183natnZTOrrJTDBXdzv2cJTFsIs2+C7iZoOzb4/EZ/HwXpOngVKQ9hw0JDOE33FLPY39TOxkZ/H4VmmMtHB55fHo5gAKz7HPjrCJ18npau/sGANjvRR4uRwRlvCIpW68+u3jrq+4861QivO9247XQHuakJLC/JoPXIS3oadd4d0FmnTw4QQojLnASvSSYtyc68vLPXedWds2bocjay4nXxnetjBhfM6xuD/bviYcPsbA43duqQMuM6fWflJgD6QxHau4MUpOvwkx1tpQU3tf4B3Rg2o+SipxoNw6DB1zcYqPDXMWBLocUgmiwAACAASURBVC5g14vuy68BZSVQ/RpRg8GAlme00WBks6PKowNp4crzrr/yDV9cH5tqhPMusI9GDV493cHaGVlcPy+XQt9uDKsDrv8moHTVSwghLnMSvCahNWWZ7D9nndfUqXqde0i2uujF9WPt6lk5AGw91Q6p+ZC7AE6/CEBzpz4TMTbVmNrfTKORRW2H2UMr4+JbSvgCIQIDkcFAhb+OSKruyH+ksVO3xsieTaTpADAUvBJ6G/Dackc26m0+OOr0oW/YVKMRGF7xGj14HW3qwhcIsX5mFtfNzWW95TCtaYsho1QHvBN/u6jvUQghJqO4/7RSSlmVUvuVUk+bt6crpXYppU4rpR5VSjniPYbLzZqyTILhKAen6Dqvcw7JvojjgsbL/PxUspIdvHzK3DU44zqo2wHB7sFWErHwY+tppFnl6MOywezlVXNRa6BiOxoLhgUvR2YpVoviSJMZovIWk9Shp/eKMpwQCaG6mrC6S9hV5dG7Dqev1+dh1u445zP8vSEsCvpDUULdHaDMv07OM9X4irm+a+2MLGY4A8y11LE1slA/OOcWaD4AnY0X/D0KIcRkNBZlgs8Cx4fd/h7wQ8MwZgA+4CNjMIbLyqrS2Dovr670TLF1XlHjrIrXm5hmHGsWi+KqWdlsrWwnEjVg5vV67FUvDzZPLUhP0uGnu5nexLyhjvDuMhjoHjmd9wYahoc5wwB/HVZ3CTNzkjnSaDY8zVtMUrCdXOVjWloidDWCESUjfwYdPQNUtvVA4SqwJpwz3TgQjtIdDFNqHr8U7GqHVHM92nkqXq+cbmfOtBRyUhKhqgKARzxldPeHYPYt+kmnZLpRCHF5i2vwUkoVArcCvzJvK+Aa4DHzKQ8Bd8RzDJejNKedudNSzzq3ceqs8wpHhh2SbUQnRfAC2DA7B38gxMEGv1647kiB05to8PVhUYwIP5HUoqGK1+DOxgtf5zVURXNCv18Ht/RiFhSkcaSxU1ez8hYDsD65GbvVMtjZvqR8LgA7znjAnghFq85ZYO/v09OMM3OTAYj0esDp1oeMj1Lx6g9FeK3Gx9oZujM/Z7YQTkjnYLiUrac6IGuWDpiyzksIcZmL90+sHwFfBFLM25mA3zAMcysaDUDBaC9USn0c+DhAbm4uFRUVcR1oT09P3D/jUip0BNlSE+aFl7aQ0ZfASuD48w/QOu2aS/L+E/l6DITCNDc1UFHRzoy6GnKjBtvjONZLdS0sAwYKeOj51+ia6WB+6nxSjjzNXufNpCcotm/bSrrvMEsAXySJmo4eNm/ZQnKgnVXA8e1/o3Xa+c9OHG7nsSBJNti/azvJ3VWsAI40dJEQaMPTO8CTz28hy9bPemCBcYqKigqmNb/IHKCqyUtmYiobd52gZKCGEgopbXmF7ZueJmxPpqenh00VrwLg6NdruwKeJqJJLmxGEuG64xw663od6QgzEI6S1tdExZZWrjj+PP60eTgDFn635SAu70nKnYsoOPM02198hojN+Zav91iZyP+vjDW5FiPJ9RhJrocWt+CllLoNaDMMY69SasPFvt4wjPuB+wFWrFhhbNhw0W9xUSoqKoj3Z1xKA9ktvPDwXtKmL2Jl6dVw9JvMTexg7iX6Hib09XjpWUqLi9mwYS70bgRvQlzHeimvxQOnt1MTNNiwYR2k1MDGzzItxUdoWgkbNlwJ+xvhIExfsIpwUzdzlq4h36XgtU8zd1riBf/+PlzzGqXZ/WzYsB6Od8NeWLD2Zt4ZKub3x3eQUjyf9fNyqd2ez7KkZhZt2ABbXoVTFtZc/07e1nOcl463ctVVV2MptcODj7CuSMGcDVRUVJBVvBC27+SGVQvYeGY/yaqP1MIlEOyBzoZzrteOZ47jsNbw0ds34Ow8Ay97yF3zXm48U8imYy2sXX8V9lI7PPgk6/OCMP+WS3K9x8KE/n9ljMm1GEmux0hyPbR4TjWuBd6hlKoB/oieYvwxkK6UigW+QkBW074JqwbPbTTXeZWunTLHrpxzSPYkmWoE2DArh0ONnXh6goMNW8v8O4baPnTWA5CZXw5ArSegp/tSCy5qqlG3khhaWA9AejFz81JRCo40dTIQjnIoXELJwOmh56Xkg83BmrJMfIEQJ1u7oXAF2BJHHB8Ua546PcuFzaJwDPghyQ3JOaOu8dpW2cGyknScDttQt/qyt3HTgml09YfZVtmup19d2XDk8Qv+PoUQYrKJW/AyDOMrhmEUGoZRCrwP2GwYxgeALUCsU+W9wFPxGsPlLN3pOGud13r9g3MKrPMKn91OYjIFr9nZGAZsOdkOaQUY2XNZMbB7sHkq/npInkZxjj4zstZjTi26L7ylhO7hFRgZvBwpkJSB02GjPFsvsG/p7OdwtJS0YLPuPO+v00cFAVeUZwLmOi9bgg5Fw4J9rHlqZrKDXJeVxEiP3l2bnAuBjhGHXvt6BzjW3MW62Pqu6q163VpGCRtmZ5OV7ODR1+rBaoNF79XrvHra39T1FUKIiW48mh99Cfi8Uuo0es3XA+MwhsvC6jI3e2t9BMMRvbMRoPbyPrcxGjUwDIa1k4hMinYSMQsL0ijLdvH950/g6QnSNeudrLEc58rAZv2EzjpILyI/PQm7VQ1bYF96wU1U/YEQvQORYWHODFRmg9gF+akcbeqkwRfgiGEu3G8+OCJ4FaQnUex2DgX76et1Z3mzX1fsnMYMp4OyZP1rvbg+R2946B06Guh0uz70e35Bmr6j/cTgwn671cKdSwt46XibPvNx6T06TB969IKvqRBCTCZjErwMw6gwDOM289dVhmGsMgxjhmEY7zYMIzgWY7gcDfXz6oSceZCUcdm3lYiYvawGK17G5ApeFovip3cvxRcI8fk/HeT49HvZHZ3NqqPfgo7TuuKVVoTVopg9LYXf7azlhaMtMG2RPth642ch1P+6n9HoH7ajEfR7moEKYEFBGs2d/Rxo8HM0Wmq+aI/eUTnseVeUZbKr2ks0auiKKgz++fIHBki0W0i0WylJMv8XTsrQFS+A3qGdjbVmW4zSTBdEwjrgucsGH3/vyiLCUYMn9jVCzhzdTHX/w3J2oxDisjSx232L17V6+LmNU6SfVySqfxiPOCR7Ek01AszPT+Nrt83j5VPtfPe5Sj4z8CmUzQF//hB0NkB6EQA//8BySjNdfPzhvfx7+xoiV34W9j4ID1w3Ytrx97tq+Z/NlfqGt5qsv32ENHpGTjWa7xn7fIDnj7bSrZIx0ovNQ6qjI4LXmnI3nX0hjjV3Qf4ysDsHpxt9gRBup+59XJCgg97gVCOMWOdV6+nFosw+ZV0NEA3pqVPTjJwUlhWn8+ieet3mYuk9uirWsOctX2shhJhoJHhNYulOB3OmpbKrevg6r9qhxdSXofBg8DLviIYv+oDsieCDq4u5dWEeBxs6aSGTyO33QethHUrSdEgqcjt57B+u4J41Jdz/Sj0frLmF6Hsf0b+/v7haTw8CP684ww9frNSVrsN/ZlrTJj5ofVF3o+/zQ7BzRKCal58KwMF6P3lpSai8xdC4Vz84ouKl12TtrPKAzQHFawaDva93gHQzeOXZ9Tq0aGIGJGfrF/eMrHjlpyfhsFmGNghkDAUvgPesKOJ0Ww/76vww/04d8vb/9i1fZyGEmGgkeE1ya4av8xo8t3FonVcoEh16ciQ0xqO79M6teE2uXY0xSim++66FFLud5KYm4Jh7E6z9rH5wWDUowWblW3cs4Ms3z2FHlYejKWvhE9t04Nz3MPXeAA2+PiJRg9++WjPY6PRe2yZSHdEROxpj0pLslGTqaciCjKTB9VZnP29aWiLTs1wjN3C0HcM+0IkvMECGyw5AtlUHr06VAi59JuWIipc3MNjhfnCd2rCpRoDbFufjdFj58556SEzV4evIX2DgwvqWCSHEZCHBa5JbU5ZJfyjK3lrf0DqvKr1d//e7aln1nRf1Ydo9bfD9GXD0iXEe8VsTC162Sbq4frjURDuPfHwN99+zQt9xzdfh7keh7G3nPPddy/QB11sr2yGjRIfsM5vZYYaieXmpPLb7NEb9buoc5eQoH+roE6MGL4AF5nRjYUYS5C3RdyqLblsxzBpznVckasD0q/Rb+Y/gD4TIMCtebosOR22RZEhIBkfyWRWvXorNoIe3Sh9BlJI34nOSE2zcujCPjQeb6A2G9XTjQA8cfRLDMHj5VDv/+uRhXqns0GvWXvwmbP8JDAQu+HoLIcREIMFrkls3IwuXw8rjexv1Oq85t8HxjRj9nfz6lWp8gRBtXUE4+Ig+OqblyHgP+S0JR3UFzzpJ20mcrSA9icVF6fqG1Qazbxo1SGanJDAvL5WtsUO2y68F7xlOHT9CpsvBt+5YwMyBE6hIkF/b76bJXgw7/ndY8CoZ8X7zC/R0Y2GGc6jiZfbwGm5NmZvu/jBHmzr18xzJpPsP4w0MDAavdLroN+y09Zt/nQzr5dXZF8IfCFHijgWvar1D03LuXz3vWVlE70CEzzyynwfqculLnU7vpn/nke99kj88+D9UvraJtt/eS+RHizC2/wg2fQ1+shT2/PqyqOYKIaYGCV6TnCvBxjuWFPC3w0109oVg+YcgFKD25Yc5025WIrr6YJ+5XqanZfwGewmYueus4DU5K14Xa/2sLPbV+egJhqFcHw3lqN3CmrJMlpdkcEd6FREsPNczg71574OWQ7otgyNZV0KHGVHxSs7RFaizqmKgdzYC7K72gtUOxVeQ5j9KZ1+IDKeeakyOduEjhfZuc3fjsPMaYwd9lwxONdaMmEodbkVJBh9YXczBBj/f+ttx/rHjLpp6DN7b/yd+4fgRj9q/ydsd+/iDupUr+37Mowt+oUPc05+D+9ZDf9ebvrZCCDFWJHhdBt6/qpj+UJSnDjRCwXLIXYBt/0ODj4dqXgWP2Z28+9yu4pPJORUvY3Ku8Xozrp6ZTShisPOMB7JmEk4pYFFwH2vMZqfXJ53kSLSUlqCDjrI7dSf55gN6sb7ZwytmdZmbT1xdxvVzzV2IN3wb1n3unM/MSU0kK9lBZavuxcW0BTj7mrAYETJcuuKVFOrEZwwPXkMVrxqzAWxJplO3h/BWn7O+K0YpxXfuXMief72e3f/3Wj70oU/Qes9W1Fca4GOb4a7fYP8/x7jzyw+ycvFCvrw3hUM3/BHe/ZDeBbn522/p+gohxFiQ4HUZWFiYxoKCVP6wqw4D6Ft0D4X9p/hoeScA2af+CAmpenH0JK94jb7Ga2oEr+WlGSTaLfp4HaWoSV/DlZYjXFGSCgMB3L5DHLYvAiAvKwNWfFi/cJRKVoLNyldunjsYnlh4F8y6YdTPLctOpqrDDF5Zs7AYYYpU2+BUozXoo1OdXfHSwavObABb7HbqKlio95wdjaPJSUnk6lnZrJuZhSXBpf9BseCdkJRBcoKNb9+5gOzkBL765BEic2+HlR+F3fdD474LupZCCDFeJHhdJt63spgTLd0cbOhko7GWPsPBJ5O3kWEJUNK6Sf9gdZdN+orX0K7GYVONamr8MU6wWVlTlsnWSt0VfmtkIamqj/KBE1C/CxUNkTH/WsCc2lv5MbDYz1thulDl2a7BaWsyZ+r7VBPp5lSjCnjps6XS3jOs4tXfCaF+aj29ZKck4EqwDdvR+MbB642kJtr5+tvncaSxi9/uqIFrv6YD39P/rJu0joMHt1fz6Uf264azvhq4/23QemxcxiKEmLimxk+sKeD2Jfkk2a38cXcdvzvQySuOdWRWb+QjSVuxR4Ow7O8gZZrufj5OP5guhXOD19SpeAFcNTOb6o5e6r0Bftc2nSgW1JnNurGpsnLDTbfz0N+vYm5eKqTmwd8/D+v/5S19Znl2Mt7eAXy9A5A1Q9+nmnDHqmUBDwOOjJEVL4DeNmo8gWEL682mr28xCMbcujCPq2Zl818vnKIlmAA3fVf3Nnvtl5fk/S+GYRj86pVqNh5s4ve76+DQn6BpH/z1UyPOrRRCCAlel4mURDtvX5zH4/saONTQSWjJPaiBbj4R+QO19nLdMiA5FzB0+JqkwudMNU7uXY0X66pZuqnpg6/WUNVjx5u+AM68BNXboGA5dmcaV8/KHnpB4fKhpqZvUnl2MoCebkzKoMeaTplq1lON0Sj0+4kkjhK8etqo8wSGFtZ7q3V1Mq1olE+5eEopvn37AkKRKF9/6gjRuXfAjOv0Wq8xPiz+eHM3Db4+UhNtfO/ZE4SOboTENN2Ydvf9YzoWIcTEJsHrMnL3qmJCEQOHzcKVG26F7DnYCfO07Xq9uDplmn7iJF7nFat4WdTk7+P1ZpRnJ5OflsjDO3SwsM26Tq9ratyrD7KOg7JsHZzOtJm7ZG35lFua9Pqwfr8+asiZOXKqERjwN9PS1T/YrBVfNaQVntOy4q0oznTyuetn8cKxVj700B68G/5dP/DLa+D0i5fsc97IC8daUAoe/PtVZEfbsLcdwlj3eZh5A7z0rTEPgkKIiUuC12VkSVE6K0oyeNeyQtJdCXDFp+ixpfPn4Br9hGQzeE3idV6Di+utU6+dBOgqz/qZ2QxEouSnJZK24EbA0Ls7S+MTvAoznDisFs606wX2jdZ8ylUTLocVAl4AbMmZ+AMhBsLRwYqXr70BYCh4easu2TTjcJ+4qozv3LmAnVUebnyonv03PqbD3+/eBS/+25j0+HrhaCvLizNYVpzBd+bo3mkVltVw63/rJzz9OTn0WwgBSPC6rCileOwfruS771yo71h2D79as4magEMfHZQSmwKavBWv8NlHBk2hdhIxV5lTiWvKM1EFKyAhTS+iL1odl8+zWhTTs1yDwatO5eNWPaiAF/p08EpI0VOgnt4guPT4ejqaAEZONV7AjsaLpZTiA6tLeOqf1pKSaOOdj3n5adkviC67F175ITx4q+52HyftgSjHmru4Yb7+/2tNaCd11mK+sLmHzoRpcN039HTw4cfiNgYhxOQhwesyl5OSCKDX38TO0euevMHr3HYSU2uNF+jTCvLTErl1YZ7udr/o3TD3NnA44/aZZdkuqsydjTVGvr7TUzlY8UpK13+22ruDutFqkpugvxlAL67v8+uQdgl2NJ7P3LxUNn5qHXcuLeC/Kup5f8vddN7yc2g9CvetgxPPxOVz97fpxfPXz5sGAS+W2u1Y5t5KR8+Abjy78qO60euxJ+Py+UKIyUWC12UuJyUBgLbuoF5b48y8LILX0BqvMKipM9UIkOa08+pXruXaWPPTW/8L3v1gXD+zPDuZWm+AgXCUkxHznMWOUxDQZ0WmZOixnN3LKyXRpttOnOdw7EvNlWDjv9+zhB+8ezEH6zt52/PZ7LnxSd3L7I93w3NfGTr+4BLZ1xZmVm4y07NcUPkCGBFSl9wJ6HMqsVj1Oare6nNeG40a/OSlSlo6+/UdlZvg+NOXdHxCiIlFgtdlLifVDF5d5l/sydMGm1tORueu8YpOuYrXeCjPcRGJGtR5e6kKZxFSdh28zKnG9Kyzg1cO9r4OSjNdKKWGQkccphpHc9fyQjZ+ei1ul4OP/s1H4O+e05WnnT+Do3+5ZJ/j6x3gpDfKDfPM9ZMnnoaUfFLKVpCSaKPWPDKJjOk6fJ61zutYcxf/vekUj+/T6+F48Zuw6euXbHxCiIlHgtdlLjbV2Bb7gZiSO6krXqMfkj21Kl7joSxLt5Q4095LV8iCJ6EIOk7rqUaLjUy3PrZoeMXLFfJQPHxHI+gptzEyIyeFf79zIf5AiMcPtsPN34fMGfDqTy/ZQveXTrRhgF7fFeqD0y/BnFtQFislmU5qzc79uKdDKHDOP3qONunTJU62dEM4CO3H9SaEgcAlGZ8QYuKR4HWZy0p2oNSw4DXJK15R8wemVUnwGkuxlhKn23roDRn4naVDU41JbhLsNtKS7Bxu7MQwDKKuHDKjXuYlmwHCW6XXGCYkj+m4V5ZmsKQonV+9Uk0EBVd8Sp9fWbv9krz/C0dbyEhQLCxIg6oKHa7m3AroTQV15lmVg2vbzppuPNqkD/Y+0dIFbcf1n2cMHcCEEJclCV6XOZvVQqbLQXu3OdWYYp6jd4nXuYyVcOSszvVTcFfjeEhJtJObmsChBj8RAwKpZfpYnJ5WcLoB+MDqYl441sp3nz1Ba8nbCWPhnpOf0mc0emvivr5rNEopPn5VGbWeAJuOtcDi94EzC2P7T/ifzZW8VqOnSqneCtt064feYJhPP7Kfmg4zNO38Oez59Tnv3R+KsLWynaW5Vj2deuJpvcO0ZB2gNxU0+PoIR6JDU6yx7v2mWPCqau8l3Hhw6AE5akiIy5YErykgOyWRtq5hFa9oeHBtzmRz7hovCV5jpSwrmb21PgDCGTN06G3cqzdsAF+4cTZ/d0UJ92+t4l9egQ8PfBFXsAUeege0n4jrjsbXc+P8aRS7ndy/tQrsSRirPoaqfJ4nN23mFy9XQd0u+P174KVvQq+HV8942Hiwid9sN9dkvfyfeu1VODjifV8900F/KMrSbKv+h8ypF2DGtYMNYksynYSjBk3+fr24X1mHplzRf5aPN3eRnZJAOGrQVbMXHMlgd0Lb5Ahezx9t4cVjZgW9q4mSmj9O6iPJhBgLErymgJyUhJFrvGDSrvMa7OM1Ylej/DEeC+U5Ljp6BvSNLH1YNr3tkJQB6OrSN98xnw+sLubVMx52G3Px3/GwrowFOsZsYf3ZrBbFR9dPZ1+dn721Xn7Vfy39hp1/THgOf80BjD+8G2x6Ewr1O9ljVsE2Hmom1HZS/yOl3w+nnh/xvptPtOF0WJntturpy942mHXT4OPFbj09W+vt1S020gpHTDXWenoJDES4Y4luz2E0H4JpCyF7DrQeGfFZ0ajBlx47xJaTbfqOo0/As1+6pNfpYkWiBl/9y2H+39NmSNz5M6bXPAL1O8d1XEJMdPITawrITU2gbXCq0WwFMEmbqA6u8ZrCfbzGS+zMRgB77uyhB8ypRtDh61u3L+CDa4opzEgiY9518P4/6nMLC1eM5XBHuGt5IelOO5/94wG+U9HG3oxbuN2yjf+NfouINRE++iJYHVD7Kq/VeEmyW/H2DlD52ib9BnYnHHp08P0Mw2DLiXbWzsjCYVW6jQRKnxVpKs3SGwsGdza6y0ZUvGLTjLctysdhNUj2n4RpiyB33jlTjc8caebRPfU8urseBnrhmS/ArvugzxeHq3Vhdld78fQOUOcNUNvRA8ee0g+c2TzmY/nMI/t5+pBu2MuRx+Hxj475GIS4UBK8poCclEQ6egb0NF3sAONJemxQbI2XLda5XqYax0zZsOCVnu4eCvHmVGOMxaL49h0L2fqFt2GxKCjbAF+s0dNw48TpsHHPmhIafH1cMyeHVe//GpZomARCPL/057qCV7CcaO0ODjd28oHVxbhdDrpObgNnFiz/kK54mQ1jT7Z20+jv49o5ZlPiU89B4UpwDV2L3JREHDaL7uUFeqp12Bqvo01d2K2KuXmpXJXZQ0I0AHmLIHeBrhD26OpWJGrwoxcrAdhX58PY/cuhg+4b9sb3wr2OZ480DzYyPrJ3G/jriCrrmAevYDjCXw82sfm4WQ08+Rwc/vM5U8Px1hkIsfY/NuumuQBPf55ZJ382pmMQk4MErykgJzWBSNTA2zsw6Q/Kjq3xslqVXn8ji+vHTLm5sxEgw2kfmm5Mco/6fEusKqlvxHNoF+STV5fz7TsW8L/vX4Y9Zya857d8wvZtXvSYYal4DTQfxBbp44ryTN6+KI+8rgOEClfrRfnR0GAPsM0n9A/5t83JwRH0QdN+mHXjiM+zWBTFbufIXl59Pt3FH91KYmZOCg6bhfUpZrVm2iLdbBUGpxs3HmzidFsPV5Zn0tvtJ/rKj6BkrZ5ib9gdxyt2ftGowbNHWrhubi6FGUlYjj8FykpT/s3QdGAwoI6FWPPZRn+fvqOr0fzaNGZjADjdrsP4vjqzClm9lXT/kdd/0QTyh111PLnfvHaeM7Dxn2W9XpyM/9+GIu6Gutf3gz1J77yapBWvyPB2ElF9VIu0kxgb+WlJJNotKCA10Q5Zs/QDZ1W8JipXgo0PrikhyaH/vKh578A9ffHQzsbiK7EYYZZYzrC8JIP3zLFTolo5Ypk7FIgO6unGLSfamJ+fSm5qIm6vWXU6K3gBlGY6qfMOm2oE8FVjGAbHmrqYn58KwCJrLQOGlc7kcsidr5/XeoxwJMqPX6pkzrQUvnLzXD5sfQ5rvw9u+BbkzIf68Qlee+t8tHcHuWVRHutnZDLPt4Xo9Ktoy7kKMHRrjTESC1xNnWbw6jTP5exsGLMxADT49Oe3dvXrfxR2NuAYmDybmO7feobf7qjRN449CXt/c84uXHFpSPCaArJHa6I6SSteQ4dkK13tAgleY8RiUUzPSibZblazMs2Kl3P0itdksLLUTYOvj+bOPihaRRTFTSnVpDsdzAvrXlp/ai8CpWDRe6FhN50NJ9hb6xucZsz07IHUAj1FeJZit4taTwDDMIb18qqitSuIp3eAeWbwKhk4TaVRyIn2fnBl6SUBbcd4Yn8j1R29fP76WczNiPIx2zOcSFsHBcuhaKXeVRqNDp1MAdDfed4GrKfbuukPmf/f9HoGw4lhGCPfI+CF8MDgzWh0WMPZaJRnDjfjsFm4Zk4Ot+R4KVEt1E+7ju6UGXo93xhONzb79bhbOvuJRiLQpc8IHevgFQuArV390NsB4T5skT4Ido/pOLy9A3z32eMEw+bv867733BKOhI1aPD10Rrb/e6r0V+7m+M30CnsgoOXUip+J/CKuIpVvNq7hp2jN1krXhHdf8xmUWazSWSqcQwtKUon12X+tVGwHFDjtlvxUlhZqkPjazU+IglpVFLMlXa9nkrV7SRkSeDPjRnUewOw8N2AonnbQ0QNPc1IeIAM3wGYeYMOZ2cpyXTSF4rojv6xrv3e6sGO9fPz08AwSOs8ztFoKSdazB/SOfMwWo7wk82VLCxI4/p5udh2/5w01ct9YCJwfQAAIABJREFU6j36OYWrINjFycOvsfq7L7Gtsl1XWn5zC/z1U+eMpbqjlxt/tI3f7azVd/z5Xt1GA9hR5WHVv7/EM4fNH7T3Xw2PfhAMgx88f5L1/7mF6o5eaD6I8YMZpBx4gKtnZZOcYGNlYCsRQ/FsaAWGxQrTr4IzWy7Z6QBvpNmsdIUiBt7WBj0lDNA1xsHLrHi1dPZDZ93QA11jG17+tKeeX7xcxb5aP/S0w7NfhN33v+5rmvx9hKMGbd39OmTHdt9K8IqLNwxeSqkrlVLHgBPm7cVKKVkxOIlkD59qBL3Oa5JWvMy19briEgteU+yQ7PH0jbfP419W6AoqRSvhC6chZ874DuotmJuXgsthZU+Nl1Ot3ewKz6K076he2/L/2bvv8LirK+Hj3ztFI2lmpFHvlizJltybXMAYF8D0moQEQkkhbPKSsqkbdrNpmw3pIQlpbGBDgCUJEAgtAdtYlNi4d1tyt9V7LyPNzH3/uDMqtmxkW23C+TyPH1lTf/PzWHN07rnnnNyIP70IHzb+uOUkxGbA5EtJPPo8GdEB5mR64OQGk9UYYpkRTOAFmNFBEU7TR6/pGPuDOxqnpbmhrRprVwNHbXn9gVfKDPy1JVQ2tvOFK6aiuppg468ojV/JS7VJJmuVtQiAA1vXoTW8dajetLWo2WsCn1OaJD/5zgn8Ac2eihaza/L4W6ZDfk8nO06aurOvPb+XhpoyaD4Jh17l8Ku/5qH1h6lo7uKeR97E98wnUJ0NfMH/CPfGbQOtiTz4IvsiZvHaiWCGJW+VCXoaDo/0P9eQKlv6M3UNVQOWxsYt4+WF5rL+K9rGttYsVH9Y3tQJh9cA2vx7nkVZcDm8169p6uyBpmBwLoHXqBhOxuunwJVAA4DWehdw6WgelBhZkXYrsVH2AWODghmvMfqNdCT5AwMzXqGlRsl4jZVIu5Uo24DMjjNx/A5mBNisFuZnx7H5WCNbjzeyJVCA3d9pelFV7yYydymXFSbzy/VHuOvRzZzMu53E3kpesfwrll1PQunfCCi7yfIMITvBbEjo64IfPzmY8WolJyEad6QdqncD0JEw3YwOAnoTp2ELeLk6vZMVBUlmvmRPOw0Lv4gvFDzF56KjE1DBAvstxxthzzPmeboaoeFQ33F09fh5epsJREqq2mDrI+YKHYC6Ekqq24iNstPe7ePx518GIOBKIe2db7MkvpOnPrGEuzr+gK2hlMeyH2BzoJCiHf9huvo3HKI28yp2ljXT0atN4AVjttxY2dxFpN18lLXXHjcX2qIuKPDq8Ppo6uhfah0USJ1BxYAar0Dz+GS8Wjp7+5oclzd19feee5fAq2+mKFDT1NqfLRzjbN17xbCWGrXWp77r/KNwLGIUJbsd/d3r3ang6wJv6/ge1HkYVOMlxfViBCzMiae0po11JbUcd842F274hQlKJi3hV3fM52vXTmNXWTOXvuTmfd5vEIjJgL/eB5t+Q1PcbJPNGkKGJwqLor/APi4YeFW1mGVGgKrdgCIyYzYHq9sIBDSv1psNC/dN96I6G2DTb2HmLUydZbJc2080gVI0eGYzw19KQYqb/RVN6D3P9u+KPLmx7zhe3F1JS1cvRdlxVNfVoXf9EbKWmCtr9lFS1crCnHi+sHoq7SdNIPhg4rfRWvM/nt9zEbu52/IKf/Cv5hul2TyW/T1UUgG8ej+gSCh6HwENJY1+s6QaN/mMgVe718eTm07Q2RPMWJe8EjwH56equdtkH4GehuBHVcaCCwq8/vP5vdz+u03mm2NvwoMzzc7VM9BaU9nchcNmwRfQdNefAFswMzyGGa83D9XhD2iUgsrGtuC/gTLHMKBm71QnBwRerdXHzHsfJOM1SoYTeJUppS4GtFLKrpT6EiATXMNMcoyDmtBSoyvYUiIMu9cHBgVeoRovCbzE+SvKiUNrKC6tI3vyFDPe5+DfTbuGzIU4bFbuWZbLG19ewceWTsafuRj7vevgfY9A6myq0laf8bEjbBYy4qIGN1Ftq6S2saWvsJ7qXRCfy+SMNDp6/Bypa+f7WzV+LBRayuDtn5pflFbcT6LLQXZCdF/Lgk29eeRbKvnK8iTm6/2o9iq49EvgTIKT/R3kn3jnBFOSXdx5UTbXq7dQPe1mZ6Q9Gl/VHo7WdzAtzc0nluWy1F1NjY7j5yVuNuV/Hnfl2/DUbZA4lbgbHkApuHphAdzxLHiyIW8VMwun4oywsrd+wHLj8bdP+7Dv7PHxsf/dwn88t5fv/a0ENv8P/PE2ePIDfW02zlVlSxeFqW5cDpvJ1NijIXWmCbzOI6uvtebNQ/WUVLea4PDIenNF+dYz3qelq5eOHn9fAOhrPAHxufiszjH9Obu+pJa4aDvzsjw4a7aYX66nXmUCqbPUvJ1s6CQ6uNu3uza4RGx3SuA1SoYTeH0SuA/IACqAucHvRRhJHjivMYzHBg0aGaRlqVFcuHlZcX2NQBfmxMOki8wVKTMhMqbvdp7oCL5+/XSev28prkg7zHo/fPIt6pOWnPXxs+Odg5uoApNUbX/gFRwVVJDqBuAbL+yjrE3TEzsZdbQYtvzO7KgM9k2bPymO7Seb6ezx8XSNaWK7JOI4N1r+QY81GqZebXqSBTNeu8qa2V3ewp0XZTM91c0d1rU0xU43DV+Tp9Ndvgd/QFOYGoPVorjYVU0pk5iT5WH5bV82QVSgF27+LdcvzGfn11dz3ex0kzn/9Bb44BPYrRYuykscHHj1tEP5lr7z0N3r557HtrL1RCOLJsfj2/wovPIl05Osow7WfP2c/+3auntp6/aR5oki3RNJREeVGc0Um2mev7vljPfdV9nCv/5xBz2+gMmeP38flG3meEMn9e1etIaDNe39mcOafWd8rFArifnZwfFZLWUQm4XXET9m/cT8AU3xwTqWT00iO8HJ1JYNYLHD/LvMDc6y3HiysZO5WR6UgkCosD5rUVh+RoSDdw28tNb1WusPa61TtNbJWus7tNYNY3FwYuQkux3UtXnNtvZQxqs9/HY2+gMaizqluF4CL3EBoiKszMwwy35FOXH9gVfo6wWalBDdX0MT3AGarWpMD6+Wcmg+AWmz+wKvDUcauDgvgajM2SZw8ffCpV/ue7z5kzzUtXn5/YbjbO6ZjFYWnFUbuc62hc2RSyEi2hx703ForeLxd07gjLBy87wMJnftptBSxob4m8wuzJQZ2Ov3A5rCNDf4e3E0HWLOgqU88fFF2GxW+OCT8P/egYz5AMRG2ftfnM1hng9YPjWRui5taowmLzP/L4Njlrp7/dz7+DY2Hm3gx7fO4fH5h/mO/VE22Yrw3vYMXHQfbH8Mjr11Tue2KlhYn+6JIi02Cpe32rT2iM00NzjLcuOz2yp4fmel6TRfVwI7n4BNv2XLsf7eWwfL60zLDjhr4BUqrJ8/yWS8IjoqwZOF15EwZlmjXeXNNHb0sLIwmay4KBb2biWQvdSMoIKzBl4nGjrITXKS4HRgbwkuk6bNMcceCOD1+Wlo91Lb1k1NSxfe1jozWaGtelzHVoWr4exq/F+l1KOn/hmLgxMjJ8ntoMcfoKWrN+wzXv1zGoO/XcuuRnGBVhQkkRLjoDA1BnKXm0zBgLmLFyI7Pprmzl5auno5GkgCYFVKB8nOCFMnZo+GGTfjctjIio8C4Iurp5oGqQBzb4eEvL7HmzfJZFV++fphYmI8puHqlkdw0cHj7QvNdIdJJgvXfvhtXtxVyc3zM3BH2rFte5Q25eS53lBWbwaO3maybC3kJDjNTkR/D7E580zhP5jAKjSl4Cxunp9JrEPxXy/tJxARAwvvgR2Po6v38NVnd/PmwTq+f8tsbo45iOOVz9KcejF3tX+aX75VDivuN0Hpi5+F3q5hn9vKYMCTHhtJuieKeF+d2X0am2VucJbAa1twuba4tBbKgvVcR9ax9VgdcdF2nBFW2o9tAX+PWX6u3X/aTtGQUGH93CwPbtWFo7d1QMZrbAKv9SW1WBQsn5pEgaORKZYKWjJXQkym+Rl5hsCrpbOX1m4f2fFOUmMdODvLTZ1eTAYEfPS213HJ99ez4DtrWfTf63juh/fg+Ek+/GgK/LgAvj8ZqsOnQ/9EMJylxpeAl4N/1gExQPtoHpQYeSkxA5qoOmLMD/swzHgFBgVeUuMlRsanV+az7osrzHsrPte0yZh65tqtcxHa2Xi4tp3PPn+cVpzcNKnHDLk+WgxXfrevq/01M9O4ZX4GC7LjIX+VaVK7/CuDHq8w1U10hJWOHj83zE1HZS6Cnna6HQms9U6jtLrNdNq3R3Nk61q8vgB3LMk2H7z7X2B73DXsrgnWXgW75K+KrzevPZTVCXXPPwcuh40PTLWzs6yZ53dWwIqvQqSHume+wPM7K/jCFVO5dXoUPPdJSJxK/Mee5pp5k/l18WE2V3Tjv+5B0yl97beG3XQ0lPFK80SRFWMlQTfjc6UPyHgNvRuxu9fPvgqzDFl8sK5/AkBXE+1HN1OUE09BqpuoqmBAtuCjZumy+cSQj1cR3FmZ5HYwwxnctOTJoici3vycDYz+frTXS2pZkB2HJzqCae1mefRY3FKw2kwQ1TT0sYcK67Pio0lxR+LxVpggODherqb8GHVtXj6wIJP/umkmlzmPc1in47vqh3DZNwANldtPe9wDVa38Yt0hs8ri74W138TRXTs6Lz7MDGep8dkBf54EbgWKRv/QxEjqGxvU6jVLDK6UsM14DRqQDbLUKC6YzWoxxdkhUZ4Re+xQL6+vPb+XvZVt6LgcosvfgrXfNPVYCz7Sd9v7r5nGT26da77JWACf2WqyLacc6+xMszR6w5z0vn5evYU34cfK1hONYLXTm7YAe+UmLp+WYjJ56x8AZaGi8OPUtnnN7NbgDshFUcGsTM1ek+1LePcM11AuTrcxJzOW7/+9hA6Lm4ZFXyK5fjOfTj3AfSvyTIavq9lsTIhw8p/XTScm0s6tv93I9P/t4jXHatj0a3ggE342F/5811mXyKqau7AoSHE7yI1sw6I0TfYUcCab1xGa23iK3eUt+AKai3ITOFzbTu/xdyB7KVpZKGjfxMKcOArTYsho24VOLIDJy4PnZ+jlxsrmLjI8USilmB4d3CQQG1xq1P7+oeajpKa1m32VraapL5BW+yZHA6kc9gfLSjyTzngeTzSa+sPshGiS3Q5S/dXBjFc6AA3VxwH40KJJ3Lkkmyyq2OIv4HjubbD0c2B1QP3B0x73wbUH+fGag9S1e+HwOnj7p6TUvDGyLzxMnc/IoClA8kgfiBhdyX0Zr4FNVMMv4+UfMuMlgZeYuCbFm8DrQFUrtxZlEps+1fTYioyBG34xZMf7d/P+BVlcOyvN1InlrYKMIlxLP0FabCRbjgd3PPqmUqCP85WVGaZh6q6nYPG9ZE3OB6CkupU6v5NKHU+BCn4o1+yDpAKwRZzXa7Uoxdevn0FNq5efv36Ie/bN4hBZ/GvgD1g3/dLsFr3i22bXIRDvjODlzy7jRx+Yw51Lsnk45jN8rOdLHJ/9eVNjdPA1E6CeQUVzN8nuSGxWC5kWU5tVoxLNUPaY9DMuNYZ6XX1h9VQSaMHecgymXklz3GxWWHayMCee6SnRzNWldKYtCjYJVmcMvCqau8iIM//OefZgzVMo8IJRL7BfH2yauqowGXo6iCzfQHFgnmmiChCXfcbAa2DGa3JUF9F04/Pk9GW8WmtN1jA30QldzUR6GzimUzlc22FWGxLyof7QoMds7e5lfakJNg9Wt8PeZwFwdpy9n9h7xXBqvNqUUq2hr8CLwL8N436RSqnNSqldSql9SqlvBS+frJTapJQ6rJT6k1Lq/P6Hi3OSFhtJlN3a90OZxClQufOMM90mqqEDL1lqFBOX02EjNSaSSfHRfP36Gf3ZpBseAlfSeT3m+xdk8ssPz0cpBa5k+MQ6VPI0inLi2XKskaqWLh4pS8GqNFN7D8Dr/wUON1zyhb4i/pKqNkqqWykNZJHmPWIeuGbfeS0zDrQgO44b56bz2zeOsqO8jYZLvo2t9SS89jXIvwIW/8ug26fGRvL+BZl87brpPPkvS9kdfRHfbLkGbn0MFn4c9j1/xgCqqqWLdI/5pTKVegDK/KYGjtisswZeuYlOirLjWB0TXILLWswOx0LmWI4y09PD3MgqYlQnJ5xzTJ+2+FyTERxCRVMXGcHjmGRtoAcbuFLMUiOcVmC/t6KFls7gaKOOehMYX4C1B2pJj42kIMUNR4tRfi+7ohb37bbEM8kcg8972n1PNnSS4IzA5bAx2Wp+GW+OTDerIih6miqIjbIT54yARvM+Oa5TOVIXrDhKnHJaxmvNvhqzWxQ4XFkLpa8A4OwYernzvWY4S41urXXMgK9TtdbPDuOxvcAqrfUcTAuKq5RSS4DvAz/VWucDTcDHL+QFiOGJtFu5ZlYaL+6qNL1pZn8Ietpg/1/H+9DOyaDi+lCTP8l4iQnu13fM58l7FpvlzMWfhDufh4KrRvx5FubEUd3azVee2c3OwBS0sphmsKWvmGWh6HiSXA4SnBGUVLea4EtPIrrliNml1lox5LDvc/XVqwuJibRx26Isllx+C8y4GdxpcNOvz5rhc9is3H1RNsWldRyqaesP0jb9dsjbV7V0k+YxGxI8vSbrc8QbXCaOzRwy8NJas/1kE/Oz41BKcY2njF5txZs8ixc6zdKr/dh68rpMkLVNF5g7psyAmn2mZqn/wejy+mjo6CEjeBwpupbKQALdfn1axssf0Pzw1RKu+8XbXPWzNzmw6e/wq4vgN0uh+HvnVQvW7vXx5qE6Vs9INYH4/hcg0kNtQhFloYyXZxKghzwfJxs7mRRcDs/ABF41ljSw2sGZhKW9ismJwQbBDWYkU5szZ0DgNdXsoB0Q1L24u5IMTxQJzgish9eY+riMBUR3Vph6r/e4MwZeSqn5Z/vzbg+sjVARvj34RwOrgOBcCx4DbrrA1yCG6UOLsmj3+nh5dxVkXwzxebD9D+N9WOfEHwj09VySjJcIF/MmxZEVXHLEmQB5K0fleYqyTYblrUP13LSkAJU6y3QvdybDkk8BoJSiMM1NSXUbB6pbqXLkoQK9JrMEF5zxAkiLjWLD/Zfx3ZtnmQve9wh8ZtuwMnwfXpKNw2bh0X8cMwHD9Btg22PgHbynK9QtPj3WZJps7ZW04KKsLfjzITbDBDynBDPHGzpp7OhhQbDn1qxACXv0ZNYfbuPF2iQ67PFwaA1RlZuoIYEtTS5zx5SZ6Maj3PTgGtP8FeCdX2H7+Uwi6CUjzgReCb21VOhEalq76YmINTsK26po7uzho7/fwi/XH+GmOWl8SL9C/iu30xyIRM+4BYofgD/ceM67INcdMNmla2enmeCn9BUovI70+JjBGS8YcnPAiYbOvuXwxB7z3OU6+O8Uk4ajq3ZA4HUYUEQm53GkLtibLnGq+SW40QRljR09vH2onuvnpFOQ6iav5u8me7bwE1i0b8xmeE5kZ8t4/fgsf340nAdXSlmVUjuBWmANcARo1loHPzEpxzRmFWOgKDuO3CQnf95aZn7rnH8nnNwA9eHzH8EfMHUkgAzJFuIUBalu3A4bzggr963M7+9Ftvwrg8YaFabGUFrdxv7KVvyhEUN7/my+jkDGC8wuRxX6v2qxnnGs0qninRHcMj+Tv2yvoKHdCxd9GrwtsPPJQbdr6uzF6wuQFmsCHloqaLQmU9kSDDZiM01h+ymbiEL1XQuy48DXQ2zTXnbqAh5cexC/ttCeeSkcWQcnN3LcOZuSmuAOy9SZKDTUHuD5HRVovw/e+TX2jioWWw6Q4THBi8tbTYVOpLql2/xscqfSWV/G9Q+9zTtHGnjgllk86PoDn+v5HSWuxSxr+jqf7PoU+sZfmZ5hv7nktJqps/nbnmqS3Q4WTIozu2S9rTD9RjLjoqhu7TZLfp5sc+NT6rx6fAGqWrrIDgZesd3lVOl4KjtMVs/vTMXjaxgceHmymJQcx9HadpP9C7UaCS43/m1vFb6A5oY56cxKtLDAuwU9/aa+ur6z9UN7rzjjGo3W+oJ/JdNa+4G5SikP8BxQONz7KqXuBe4FSElJobi4+EIP56za29tH/TkmgqK4Hv58sIOnXnqdbHsOF2Gh7K//zdG8uwfdbqKej8qqbnp7AhQXF+Np2s1cYMfuvbScHL2B3xP1XIwXOR+DTbTzcWOuhWi7Yu/WjTj900hPv4bD7TnogcfYbIKWkuo28nPcBJQNS/kWeuyxbNi6H9T5TYUbqXMxKyLAU74A3/njG9yYH8G8mAIi1v+ETZ35fb9oHW8xmazG8iMUF5+gqKKEBhXHocoGiouLiW9oYjawvfgFWmOn9T32S3u9RNmgfP9W2toOssDvpSp6KiXVbVgUVEXkkdJlsn8nYq/lcG07a15fj9vbzhKg0FLGrtZ81vzfz1gdbFdxuWUbZSU76Trm59KuWipZytFNO5jp7qZVR1N1tISyli6+tjiS7KatsO1/qUy7kvop/8IVx/z8ZV8NP4lIYdncHzB/+1dofupT7J31tXc9T90+zboDnVyaaePNN9+g8MBvSLQ6+Ue5or3mBFrDc68WkxqlWaaslO16i2NtOX33r+4IENDQUXuS4uIq5pbtpkwns2XvISb3niC9WZOsmuiqPUFxcQXzT+zEZ4vH31xFm9fHX19dT4LNyzLg6JZXOVkby+Obu0hzKmpKt1FYtQ6H6mVdWw62/dUsw0LZlr9zrCHxgt8j4WxYxTFKqZnAdCAydJnWethrVFrrZqXUeuAiwKOUsgWzXpmYMURD3edh4GGAoqIivWLFiuE+3XkpLi5mtJ9jIpi+oJtnH3id49Y0brtyFTT+mUkV/2DSsofNmn7QRD0fz1Rup8bXao7tsB92wbz5RTBp8ag950Q9F+NFzsdgE+18rDjtko+ctqyQUN7CI3vfBuCKJXOwbCyEmr1EZM5lxcrz/517JM/Fa3Wbeauile99ZBmOpH+Hp+9mRWoXTLvOXL+vGjZuY/UlRczO9MCmZoibR3O1Yvny5ajaZNjzbebnJsGs/mN6YMebLMqNZNXKRbDRFLVPXngVrG1gZkYsc2/8NPzwp6ADpBZdT+DlDtIL55MW46D9nc9xTXIDT1dDTvM/ICqeo45CrmjaTvIVy7G1noA3NRU6kakZubgCJ4nJKKD18B4KU93cc/OlfTv80q/7KukZ81nmD7D7Z2/xUpnms5//MLaYOhLXfYsV2VYzAeAsXtpdSW9gB5+4qoglk9zwzl0w8waWr7oCx9EGHtn7DhlTZ3PJlETYnUl2DGQP+Pd542AdvLWZK5cuYNHkeNjWTJ19Gg5PMitWzOVQ7VoS61/juqWzmZGVBBtroXAlVxfM44kDm0ieMpuL88xj57p9RM9bQumr6/jcZVNYuXIqLUcepFwnEph5C8tnpNKxNZ3sqM5Bx/BeNJxdjd8AfhH8sxL4AXDDMO6XFMx0oZSKAq7ADNdeD7w/eLO7gfCq7g5zye5ILitM5tlt5fT6AzDvTtNW4tBr431owxLQ2sxphAF9vGSpUYhzMSXFRahUsjA1pr+ua4SWGUfCPZfkUt/uZeY3XmXe0xFUkoz+0x3w3Qz44RSK/n4DSTSbpcaeTjO6JjaT7t4AzZ29/U1UB/Tyaunq5WBtW199F2WbwDOJxXPM6y7KjofoeMgogshYMgpMOXNJVRvP7ayiRGexMLKSlZmKyQ1vwJzb2BS1jHTVgK1uHzSbDFi9NYXqVtO6x+9OI6a3zgQ2AMf/ARFu0+QW05ft/qsLOVbfwVObT5pavJhMswv0DJ3yQ17ZU0Wiy2FmjB57w8ymnG7KpjODNWflAwvsT1lqDLWSmBQfbSYGtFXRGplBTfDYy3xmo0JOZIfpReZthYR88pJM3Vt/nZfZ2fjyniq0huvnpENHAzGVb/OS/yJKg8u1Hc5sqJWlxuH08Xo/cBlQrbX+KDAHiB3G/dKA9Uqp3cAWYI3W+iVMK4ovKKUOAwnAI+d15OK8fXBhFvXtPbxeUgtTVpvCx+2Pj/dhDYvPL+0khLhQkXYrkxOd2K2K3CTngMDrwgvrR8rS/AT+++aZ3LMslxvnZ/NQwr/zkO9GWqbdDgVXEdd2kI/ZXyPBGdEXXNnjzaigiuYu0yfNETtoJ9/Osma0DtZ3aW061mctJjfRyfdumcXHl5lZmlz9Pbj5YXIS3ThsFg5UtfKnLSepi84nuqmEe2I2YcdHzZQPsM43jwAKSv/W1ym/x5XRF3jV6HhiVCcXZwVr0U5sMBl6a/+C06rCZJbkxvPg2kO0+m1w2X9C1c6+7BiYzQSBQH9JRafX/Ay/emaq+Zm473kzlSS4cSM1JhKrRfUX2A/Ry+tkQwcOm8U02A52tu92Teo79qPdpvWIs7sWGoItRxLySYlx4IywcqR2wM7G+kO8uLOCGekxJjA78AIq4OMd50pKa8ztOpzZZgdkT8c5vBP++QxnqbFbax1QSvmUUjGYQvmsd7uT1no3MG+Iy48Ci875SMWIWT41iWS3g9+9dZQVBUk45txmtpxX74HUWeN9eGflD2hs1lA7CelcL8T5WpKbQJLbgd1qgeylYI2ArNFbsj9XSik+vDi77/vatjwu+V4qtSqL/7phJrsPHuP29nVYfJ19AY8rKRvwUdncxcyMWAKxGRw7XMKWzSeZO8lDy9anuc+2k/n+SKhNNb2tMhehlOJDiwZMCMhYAIAVs2Hhr7sqqWvzkrRgPux7hYVV/8e2wBT21cZxoK2JE1EzmFz6Cky9ClAQm0FNSzekQ2mHk3RgYUI3dDRA3QGY/YHTXut/XDOd6x96m98UH+Erq2+Fjb+Edd+mJvMKntvTwDPbyqlrbuNHc6q53LuWyENr+QWzicv7uWnRUPISFFxtBpdjMmnpnsgBLSWyob3aZLbsJgg82dhJVnw0FosyARHg92RTW21aQxxoD+7obKvqH+OUkItSirxk1+BeXj2IJBeVAAAgAElEQVTtVJUf4+6rghs69v8V4vOwumdRWm3GKHU4g+e4tgQyF5zfG+OfwBk/sZRSvwSeAjYHlwz/B9iGmdO4cWwOT4wGm9XCl64s4CvP7Oaex7by8I0fJ2r3n+H318Edf5nQ/yFMH6/QyCDpXC/E+fr2jTP7e1JlFsH95X0f2hNRsjuSG+em8/S2Mr64eipP22/gO7xlOvJbzXHHpU0GDvUNzz7UHYuv+QRf/cse5qlDPB3xLW6wBeCpP/U/cNbZ8wCFqW52l7cQHWFl+vyLYR/YOmtZF/VBdu6tprq1m7L85Uw++UuIigN3Kkmx7uAQbgtbG6NYCSQEGuGkablA9tLTnmdWZiw3zU3nkbePsbeylTzvh/hGy79T9eAq5mgHlzn8pNkqce1po9ESz57I5SzrehPHS1fDifdDd3PfMmNIpif69JYSLeV9OxFPNHT27Wik6RgA9sQ82r01tHt97GwOlnW3VZndoRY7xJrHyUtysfmYmRZA4lRzmaWSq2emQWcjHHsTln6WAl8Mbxyqp8cXoMOZY25fu39Cf86MtrMtNR4EfghcB/w7sAlTp3V3cMlRhLFbi7L4wftm84/D9dz9TAXtH37RzKf7ww1w/O3xPrwzMjVeoW+CGS9pJyHEObNaFDbrgI+ACRx0hdyzLJfu3gBPbjrJ+s48TkROg42/Cma8FHGp2UTYLFS1dPN6SQ1bGqOZbG+m+LNFPB7/O9odybx17etwx7Ow4n7TVPZdsvyFqTEAXD87neiMYA1chAvLzJvZcKQBf0DTlhMcqH50PcRmkhIbSU2rl4DWvFkT3LTUVmWWGW2RkD50K8yvXFXIzIxYWrt6KYlawFr3jaS67czNdDMlOxPnrGvZeNFvWK1/xd1NH+Ohwj+gUmfD1kdN3VjeqkGPlxkXNaDGK9RSwiwpaq0pC2a8AJPxinARm2BGBR2qaeNIpwO/sptjbzwC8ZP7lkjzkpxUNHeZhtzBwGtpbKNpPVH6ilmRmHYDBalufAHN0fp2uqKSwRZlAq/3sLO1k/gZ8DOlVDbwIeBRIAp4SinVpbUefqMRMSHdujCLqAgrn//TTm5/xs+f7niZqD++D554H7Ez/5Oh9keNN59/qCHZEngJ8V5QkOpm2ZREHttwnIaOHnbN+DDZh74GO/8PXCkom4MMTxS7y1t4dns597kyiO5eR86G+6GzAj7yMsuyg5mW/MuH9ZyLJscTYbNwx5JsiIyFtLmQvZTlhZN56B+mR5g7Y7oZKdR4FGKzSI2JpMcXoKQxYOqkIjHNXE/8AzIXnnEWZronimc/dfGAS5YMul5hWgP8famXxzYc59aiLPBcabJ+9kjzZ4Cs+GhqWr14fX4cfU1UTZ1XQ0cPHT3+vuapNB6DuBxSgn3R3jnaCCi8UclEt1aZGq/4vL7HDhXYH63rINntIUpHsdQTzIDtf8FkxtLnUWA1S5Sl1W3EKquZe/keD7yGMzLohNb6+1rrecBtmE7zJaN+ZGJMXD8nnZ9+cC67y1tYU26Bj7wCziSyTzw93oc2JBmSLcR72z3Lcqlt85pM0+RrgjMZy0yneiDdE8nGow20dvu4ammRudPeZ+GSz5uJHedoZkYs+791JbMyg3vKPrEeVn+H+ZPiiIs22ayM+GgouMZc78kiJcYEQO9U+eggikCEC+pKTR3tEMuM5yrR5eCLqwtMtspigXkfhpnvO+12oZ2NFU1dZui1xd5XRL+rrBkwwSyBAFRuh+RppMSYzOc7RxsAUDHpJmhsPAoJAwKv5NDOxnZe3V/LEZ3GFGuV2Vl5dL2ZOKAUuYkubBbFwVAj2uTpUHt+feL+WQynnYRNKXW9UupJ4G9AKXDLqB+ZGDPXzEoj0RVh+uI4E2DmLXia90BX83gf2mn8WnY1CvFedumURKYEP/TT4l398xxjTOAV6mR//9WFpGXlm+vS55mlxfM0aEnWYgGLBatFsaowBaUwcxoLrjbXeyb1BV5bq31kxkVhiUmH0pfNaJ2cCw+8hiszzmSzypu6zM/J2My+jNcbB+uIslspyomD6t2mXUTeZf3HfrwRpSAiLt3ssPR1Q0J+32NnJ0RjUaalxN/2VFEbMYno1qNw8FXw98A003UqwmZhcqKT0upQ4DXNtDDqaBiV1+wPaL73txIz6xOg5BXY9vtRea7zdbZZjVcopR7FjPX5BPAykKe1/pDWWnpv/ROxWhSXT0uhuLQOr88Phddh0X44tGa8D+00g4dky65GId5rlFJ8cnkeSgWXu+bfBZEeSDKDUT6wIJP7VubxkYtzIGM+LPgIvP/RQQ2iR8oXVk/lF7fNI9JuhUkXww2/gJnvJzU4P7LTZ5YqcaeZTJDFbnqEjZH+Xl6DW0porSkurePivAQcNiscDv6sz78Mp8OG22Gjo8dPhicKa2yGGXINgzJeDpuVSfHRbD3eyKZjjUSmTUO1VphlX3eaWVINKkh19/XyIjSi6gKXG080dFAbbHtBbxdU7gBMpu43bxzh6W3lJpP3t3+Dtd807UMmiLNlvO4HNgDTtNY3aK3/T2v93m6+8U/syhmptHt9bDjSABlFeCPizPbkCWbwkGwJvIR4L3rfgkz+8W+ryE5wmrqrT2+FS78EwOLcBL58ZaGZE2mPgut/ZuqvRkGGJ4rrZqebbywWEwRGeUh2Owj1eV48OR5igrfJmA8R0aNyLENJiYnEblWcaAh+dHsmQdMxjtW1c7KxkxUFwWHYh9aa2jVXsrlfMHCcnOg0S5QhAzJeYALf0AaDnIK55sKj66HwOnM+ggpS3JQ1dtHl03TFmUL8g3s2mWDo5Duw4SEz4HuYtNbc9ehm7n18m7lg40Pw8Aqo2c9ftpuebnsrWuDkRmg5aZrrBluOTARnDLy01qu01r/TWjeN5QGJ8XFRXgLOCCuv7asBi4WGhEVweC30do/3oQ3iD2B6zsCAIdnD6QMshPhnku6J6v/GlTShdmXarRYSnOZ4Fk9OMBkgGJH6rnNhtSgWZMfx8p4q/AFtnr+zgdJ3XgZg+dRkE5SUb4YpV/TdL1TnlZvoBHcwaLRH97+OoFCdV2ZcFFlT5/RfMX3wcJuCVNOI9Xd7vCz6+T6atAvv1idof3ARPHolvPYf8MJnhp2VOlLXzomGTnaWNbOzrBlK/w6A752H+fveKsAEXnrXH/vvVLVrWI89FuQTSwCmk/WKgmTW7K8hENDUJy4x6eVjb4z3oQ0yOOMlxfVCiIkpNdaBx6HITojuz3iNceAFcOeSHMqbunjjYK3p8xUVT+KBx8lNdDIpIRqOFpvas/wBgZfbZLxyBma84vPoS+MF5SU5AVMnrOJzTWuf6ESz7DrA9PQYlIJdtX4um5YCaXOYZTnGiWYfVZf+AJZ/FXb/CYofGNZrWl9SB0Ck3cKzb+6Eim2mTcXuP2LtaeWGOel4uzvR+543r1lZJfASE9PqGSnUt3vZUdZEU9ws0xdmgi03DqrxkqVGIcQEddeSHG7Kt5slzylXwNw7xrSwPmT1jBSS3Q7+sPEE2CPxzb2DeZ0buG5yMLt0aK2pkcvob2g6aKkxFDQOqO8KWZAdT0ykjZvnZZiMY/bFMO+OQeOQwBT5P/f/lvLTldE8+KF5xN3+O+rveJ2PO37ELZvyqZn/r2Zu8BvfNzVi76L4YC0FKW4+WJRF54E1gIarvovN38U9rg187JLJrLLswNLTamr8kgqgavd5nb/RIIGX6LOyMBm7VfHavhq0xQ5TV5v5Y6EAZwLwB7RkvIQQE96tC7NYkRUs6I/LgZt+2TeqZyzZrRZuWzSJNw7WcaKhgy2JN2FB877AGrO0d3itme84IFjKCC7j5iW5TMZLWfuapA6Un+xi9zevZFqaaTLLR16CK7415HHMzfLgjgj+7I5JJzF/AY9+ZCGtXb187LGtdK7+IeSuMEuOx9464+tp9/rYfKyRFQVJ3HlRDsvUdjrtcdRNvY1tgancaV1DYYqT99neps2eBJMvhbQ5kvESE1NMpJ0luQm8uq/ajBIpvNZsMS7bPN6H1scf0ANqvKSBqhBCvJvbF0/CqhRPbjrJqxWRvMlcJh1/Giq2m/mNA5YZAW6Zn8H/fnSh6RMW4YQ7n4Mlnxrx45qeHsNDH57P/qpWvvZiKfoDj5klzWc+Cq1V1LZ2myJ5MD/vj6xnw8Fqev2aFQXJ5CdGcZl9L8X+2Ty3s5Lf+1YT5y0n8sCzrLDs5K2olebzIXW2eZ1t1SP+Gs6HBF5ikCtnpHK8oZPKDm3+M1rsE2q5cVDGK9ROQorrhRDijFJiIrlyRip/2lLGupIatqW8H9VRC6980dzglC7+0RE2VhYk91+Quxyi40fl2FYWJPO5y6bwl+0V/GlPK3zwcejppOupu7nx529wy682cLymCZ79ODx+E5a3f4zLYTP9xyq24w608rfuWfx0zSHKUy8HVyq89Hls+HmsY7FJIqQFC/8nyHKjfGKJQa6YngLAthofRMaY/3AlL0+YHiinDcm22E4r+BRCCDHYHUuyaenqpayxi4TZV5vlz8odJhvkThnXY/vMqiksm5LI11/Yx77eVE4ufYCoqk18MvB/uKy9tPz+g7DvOXR8HpfUPMGNOT7sVgsceg2tLByOWURXr5/r5+dA0Ueht5NG11Q2daRR2+btn8c5QZYbJfASg6TERDI3y8OOmmA2qfA6M7V+gox4CAQ0fU2kAz4ZkC2EEMOwJDeeqSmm/cOKwlQo+ri5YsoVZ7nX2LBaFA9+cC7x0RHc+4dtXLs+leesV3J34HnWuL/FrM7NlC78NkeufhKt4ZM9j5k7HnoNlbmID106B2eElevnpMOCj0KEm7YZHwaC/bwiY8wSZtXOcXyV/STwEqdZPSOFY60BKpu7gvPH1IRZbvQFThmSLYX1QgjxrpRSfPXqQu5YMsm0iZh/F0y7HuZ+eLwPDYAEl4OHbp9HdWs3STEOlvy/30LaHOI7j/HdyM/zqQNzeOWkjV/5biCr6lXY84wJpKZczl0XZbPpPy4nye0w2bsvlpC48j6Ugr0VreYJ0uaY0UgTgARe4jRXzjB9W9YeqDFv4syFEybw8p/aTkICLyGEGJZVhSl856bgsluUBz74xJBtIsZLUU48f/vcMp6/bylpCXFw1wuoT21g6S2f4mh9Bw+9fpi3km4zHfifDxb7T1mNUgqXY8BngcOFM9JObqKTvZXB4vy0OWZOZWfj2L+wU0jgJU6Tl+Qizal4dV9wB0jhtWZtvHn8Ry4MDrx8g8ZSCCGECG9TU9zERAbbcER5ILmQlQXJXFaYTI8/wNJpmbD6v80gbleqqVE7gxnpsewL7YpMC95uAmS95FNLDGl+so13jjbS0tlr0tFgiuzH2emBl2S8hBDin93Xr5/OzIwYbpqbYT6T5twGiz5x1s1VMzNiqGzpprGjB1JDOxvHv8BeAi8xpAUpVvwBzeulNSYVnVQ4IZYbfQNHBmlZahRCiPeC7AQnL31mGVNS3CbYuvk3fYPRz2RmeiwA+ypbwJkAsVkSeImJKyfWQkqMwwzNBrPceGLDuK6Pa60JaKTGSwghxLuaEQy8BhXYT4BeXhJ4iSFZlOKK6SkUl9bR3es3gZf2w8G/j9sx+QOml5hVDVhqlOapQgghhhAbbScrPmpwgX3DYfC2jetxyaeWOKPV01Pp6vXz9qF6SJ8P7vRxrfPyhQIvq2S8hBBCvLuZgwrs5wAaqveO6zHJp5Y4oyW5Cbgjbby2v5rLp6eYrNeOJ6CnEyKix/x4QhkvmxTXCyGEGIYvX1lAhC2YY8q+GO59A5Knj+sxScZLnFGEzcKqwmTWHajtH5rt64Jjb4zL8fiDY4ssA5caZUC2EEKIM8hNcpEZF0wUONyQPhdsEeN6TBJ4ibNaPDmBho4eyhq7IGuxGdFTvnVcjsXvPyXjpQMSeAkhhAgrEniJs5qdaXaF7KloMcuLydPGbd5Vf43XKUOyhRBCiDAhgZc4q6kpbiKsFnZXNJsL0ueaifbBZb+xFNBD7WqUjJcQQojwIYGXOKsIm4VpaW72lAd3haTPg84GaBn78UE+Ka4XQggR5iTwEu9qZkYseypaCAS0CbzAZL3GWKjGq7+BakACLyGEEGFFAi/xrmZnxtLW7eNEYyekzASLfXwCL31q4CVDsoUQQoQX+dQS72pWhgeA3eXNYHOYAvvxCLwCAeDUwEsyXkIIIcKHBF7iXU1JceGwWdhbMaDOq3LnmBfYn1bjJUOyhRBChBkJvMS7slstTE+PYffAAvvuZmg6PqbH0TerUTJeQgghwpQEXmJYZmfEsnecC+xPD7z8MiRbCCFEWJFPLTEsMzNi6ejxc7S+w8y5skaMeeDlGyrwkoyXEEKIMCKBlxiW2ZmmwH5PRbOZc5Uyc9wyXjaLdK4XQggRniTwEsOSl+Qkym4dXOdVtcv00hojocCrr4OEDMkWQggRZiTwEsNis1qYkR4zeGejtxWajo3ZMZye8ZKlRiGEEOFl1AIvpVSWUmq9Umq/UmqfUupzwcvjlVJrlFKHgl/jRusYxMialRnL3opWEwCNQ4H9aTVe2i8ZLyGEEGFlNDNePuCLWuvpwBLgPqXUdOCrwDqt9RRgXfB7EQZmZ8bS1evnSF07JBWCLXJMA6/AUO0kZEi2EEKIMDJqgZfWukprvT349zbgAJAB3Ag8FrzZY8BNo3UMYmTNSI8F4EBVK1htkDIDqveM2fPLkGwhhBDhbkxqvJRSOcA8YBOQorWuCl5VDaSMxTGIC5cZFwVAeVOXucCTDS1lY/b8p48MkiHZQgghwsuof2oppVzAs8C/aq1blVJ912mttVJqyLkzSql7gXsBUlJSKC4uHtXjbG9vH/XnCCdnOh9uO2zdf4RiVU5uK2Q2lfHm+tfHpJHp7mofANu3baXGZWFZr5fKiiqOyHtjTMn5GEzORz85F4PJ+RhMzocxqoGXUsqOCbqe1Fr/JXhxjVIqTWtdpZRKA2qHuq/W+mHgYYCioiK9YsWK0TxUiouLGe3nCCdnOh/Ze95CRztYsWIRRB+Csr+womgGuEc/cdmyswJ27mTJ4kXkJbngLU1WdjZZ8t4YU3I+BpPz0U/OxWByPgaT82GM5q5GBTwCHNBa/2TAVS8Adwf/fjfw19E6BjHy0mOjqGwOLjXGZpqvLeVj8tx+GZIthBAizI3m+tBS4E5glVJqZ/DPNcD3gCuUUoeAy4PfizCRERdFRVMXWmuIzTIXtpwck+ce1E5CaymuF0IIEXZG7VNLa/02oM5w9WWj9bxidGV4oujo8dPa5SN2jDNeg9pJ6GDHfGknIYQQIoxI53pxTjI8wZ2NzZ0Q5QFHDDSPzc7GQRmvgCm0lwaqQgghwokEXuKcpAcDr8rmbnNBbOY41HhZzLggkKVGIYQQYUUCL3FOMuJCgVeowD5rzHp5hQIvq5KMlxBCiPAkgZc4JwnOCBw2CxUDdzaOdeBlHRh4ScZLCCFE+JDAS5wTpRQZnqj+wMuTBV1N4G0f9eceNDIoVFwvgZcQQogwIoGXOGfpHtNSAhjQUqK8b9chYMb5jLCAluJ6IYQQ4U0CL3HO0j2RpzVR3bZnN3O+9Rpt3b3g88JPpsGOJ0b0eX3+IWq8pJ2EEEKIMCKBlzhnGZ5oatu8eH3+vozXiSOltHl9ZoB21S5or4bqvSP6vP5AAKXAYlGyq1EIIURYksBLnLN0TyQA1S3d4E4Fi43uhhMA1Ld7oWyzuWHHkGM4z5tf6/5xQVJcL4QQIgxJ4CXOWailREVTF1isBNzpRHdWAsHAqzwYeLWPbODlC2gsKhR4hTJestQohBAifEjgJc5ZqHt9aGdjqyOFNNUAQH1bD5RtMTfsqB/R5/X7h8p4SeAlhBAifEjgJc5ZamwkSvV3r6/USWSoemwWhbfxJLRVgtUx4kuNvoA2OxoBtNR4CSGECD8SeIlz5rBZSXI5qGjuBOCQ10OaaiTNZSOmboe5Ud5K6GwEv2/EnjegBwResqtRCCFEGJLAS5yXjLgoKpu7CQQ0O1pdWAkwxdlBSutusEVB7kpAQ+fILTeajFfwLSu7GoUQQoQhCbzEeUkPdq8/UtfO0Z44AKY4msju3Afp8yAm3dxwBAvsB9d4SXG9EEKI8COBlzgvobFB2040UaETAcizVpPnPwJZC8GVbG44gnVe/qGWGiXjJYQQIoxI4CXOS4Ynih5fgLUHauiITAVgfucG7PgIZCwEZ5K5YXvdiD2nPzBU4CUZLyGEEOFDAi9xXtKDLSXeOFjHtEmpEBXP5OaNALQmzhuVjJcvMGCpUXY1CiGECEMSeInzEurl1evXzJ8UB54srNrHyUASdToWIlymyH4Ea7wCgzJeEngJIYQIPxJ4ifMSCrwA5mfH9c1s3K6nUNfuBaXMcmPHyC01+gKBIdpJyFtYCCFE+JBPLXFeYqJsuBw2LArmZHn6A6/AFOrbe8yNXEkju6txyBovyXgJIYQIH/KpJc6LUop0TyQWpXA5bBCbCZjAK6fNa27kTIaW8hF7zkE1XrLUKIQQIgzJp5Y4b/dfPY0IWzBpOusDBHSA0pcnm0HZYDJeldtH7Pn8AY1FdjUKIYQIY7LUKM7bysJkluabHl64U7As/Sxxzsj+wMuZbAZlBwIj8nx+yXgJIYQIcxJ4iRGV6HIMqPFKNm0fuhpH5LGHHpItGS8hhBDhQwIvMaIS3Y4BGa9QE9WRKbAPDFVcL0OyhRBChBEJvMSISnRFUB8qrh/hJqqDh2TLrkYhhBDhRwIvMaKSXA7qO3rQWpsaLxixsUFS4yWEECLcSeAlRlSiy0GPL0Cb12d2NcKIZbz8Q3aul6VGIYQQ4UMCLzGiEt0RAGa5MdIDFvuI1Xj5AxqrknYSQgghwpcEXmJEJbocAGZn4wiPDfIFAlit0rleCCFE+JLAS4yo/sBrQBPVEQq8Apr+Gi8tNV5CCCHCjwReYkSdFng5k0dsqdEXCAxYagwGXtJOQgghRBiRwEuMqHhnBBbF4JYSI5Tx8vuHGpItgZcQQojwIYGXGFFWiyLeGUFdqHt9qMZL6wt+bF9AY7MOyHgpq6kjE0IIIcKEBF5ixJmxQQMyXv4e6G6+4McNaI1l4K5GyXYJIYQIMxJ4iRGX4IoYXOMFI9JE1TeogapPCuuFEEKEHQm8xIgbnPEauSaqpsYr+JbVAQm8hBBChB0JvMSIS3Q5qG8L1XiFMl4jEHjpgTVestQohBAi/Ixa4KWUelQpVauU2jvgsnil1Bql1KHg17jRen4xfhJdDrp6/XR4faa4HkZkZ6MvcEqNl7SSEEIIEWZGM+P1e+CqUy77KrBOaz0FWBf8XvyTSXQFxwa1eyE6HpSFQNuAjFeoB9c5Om1Itiw1CiGECDOjFnhprd8EGk+5+EbgseDfHwNuGq3nF+Mn0d3fRLW2vZcmFcv6bXshEID1D8B3M6C25JweU2t9+pBsCbyEEEKEGaVHoL/SGR9cqRzgJa31zOD3zVprT/DvCmgKfT/Efe8F7gVISUlZ8Mc//nHUjhOgvb0dl8s1qs8RTi7kfBxv8fPNjd1cn2vnrQofT+l/o0G7mZISQ0r9RgBKp95HVfrqYT9mQGs+9monN+fbuTE/gsIDPyW2ZT+blvzPeR3juZD3xmByPgaT89FPzsVgcj4Gey+dj5UrV27TWhcNdd24pQy01lopdcaoT2v9MPAwQFFRkV6xYsWoHk9xcTGj/Rzh5ELOR3VLN9/cuI4Xj/aS4Yki0pHKJS2b0Q0WWP0deP2/KYiHgnN4fK/PD6/+nfy8XFasyIf6x6HXNSb/ZvLeGEzOx2ByPvrJuRhMzsdgcj6Msd7VWKOUSgMIfh2ZIX5iQklwReCMsLIoJ54XPr2U2IwCWnUUmy/6NVz8GUicAvWl5/SYgYD5OmhItiw1CiGECDNj/cn1AnA38L3g17+O8fOLMWC3WnjjKyvxRNmxWS10X/8DluxYxkcs81gMkFQAJ985p8f0BSOvQbMaZVejEEKIMDOa7SSeAjYCBUqpcqXUxzEB1xVKqUPA5cHvxT+hRJcDm9W8vSKjonHHJXG4tj14ZQG0lIG3fdiP5w+YVWkprhdCCBHORu2TS2t92xmuumy0nlNMXFOS3f2BV1KB+dpwCNLnDev+vmDgNbidhGS8hBBChBfpXC/GRH6yi6P1HSZzFQq86oZf5xXoy3gF37Iyq1EIIUQYksBLjIn8JBc9vgBljZ0Qn2uCpnMIvHx9gVfwAhkZJIQQIgxJ4CXGRH6K6d1yqLYdrHaIz4P6g8O+v//UjJcMyRZCCBGGJPASYyI/2QRe/XVeU6Fu+N3r/afVeEnGSwghRPiRwEuMiZhIO8lux+CdjY3HwNczrPuHlhot0k5CCCFEGJPAS4yZKSkuDte2mW+SCk0T1MYjw7rv0BkvWWoUQggRXiTwEmMmP8nFkboOtNZmqRGGXWAvfbyEEEL8M5DAS4yZ/BQ37V4f1a3dkDAFUOceeCnp4yWEECJ8SeAlxkx+UnBnY007RESDZ9KwZzb2jQyySnG9EEKI8CWBlxgzp+9sLIC64bWUOK3GS4ZkCyGECEMSeIkxk+iKwBNt53DdgMCr/qBZNnwXp9d4SXG9EEKI8COBlxgzSinyk1wcrhnQUsLvheYT73rfIWu8pJ2EEEKIMCOBlxhT+cmuwRkvGNZyY9+QbKsU1wshhAhfEniJMZWf7KKxo4eGdi8khlpKvHsHe7+WIdlCCCHCnwReYkwVpLoBeHlPFUR5ICYDSl561w72fv+pS42yq1EIIUT4kcBLjKmL8xJZPjWJb7+4nw1H6uHyb0H5Fnj58xDMag3FJw1UhRBC/BOQwEuMKatF8Yvb5zE50cmnntjO0bSr4dKvwI4nYMMvzni/gD6lxkvaSQghhAhDEniJMRcTaefRjyzEalHc89hWmhd/EWbcDGu+DiUvD3mfviHZA5calbx9hRBChBf55BLjIjCSbPcAAAthSURBVCs+mt/euYDypi6+9tf9cNOvIX0e/OVeaK897fb+YOd6GZIthBAinEngJcbNwpx47r00l5d2V7G/rhdu+R/o7YS3f3rabf0m7pIaLyGEEGFNAi8xrj6xLBd3pI2frj0Iifkw53bY8gi0Vg66XV/Gy6ogEAC0BF5CCCHCjgReYlzFRtu5d1kua/bXsKusGZZ/2RTOv/mjQbfzDexcH/CZCy3y9hVCCBFe5JNLjLuPXjKZuGg7P15zEOJyYP5dsP0P0NQ/SmjQrEYdnO0oGS8hhBBhRgIvMe5cDhufXJ7Hmwfr2HK8EZZ9yexYfPMHfbcJBV42i2VAxksCLyGEEOFFAi8xIdx1UQ6JLgc/fq0UYjOg6GOw8yloOAL0B14WC/2BlwzJFkIIEWYk8BITQlSElX+5NJd3jjZyuLYdLvk8KAXbHwMGDMm2WMyORpCMlxBCiLAjgZeYMK6fk45S8MqeKnCnQO4K2PccaD24xqsv8JKMlxBCiPAigZeYMFJjI1mYHc/Lu6vMBTNuhuaTULn9lMArVOMlgZcQQojwIoGXmFCunZ1GaU0bh2raoPBasNhh33MDRgYhxfVCCCHClgReYkK5emYqSsHLe6ogKg7yVsK+vxLwB7BZFEpJOwkhhBDhSwIvMaEkx0SyMCfe1HmBWW5sOUlS2z4sA8cFgexqFEIIEXYk8BITznWz0zhY087BmjYouAYsdgrq1wwekA1S4yWEECLsSOAlJpyrQsuNu6sgygP5lzGt8XWsoXertJMQQggRpiTwEhNOsjuSxZPjeXlPFVprmHEzsb01zFOHzQ2kuF4IIUSYksBLTEjXzk7ncG07B2vaoeBqfMrOlWw0V0ofLyGEEGFKAi8xIV01IxWrRfGXHeUQGUupezFX6rfB75MaLyGEEGFLAi8xISW5HawsSObZbRX0+gNsib2aRJrh0GvSTkIIIUTYksBLTFgfWphFfbuX9SW17HUuoYE42PG4DMkWQggRtiTwEhPWioIkkt0O/rSljB5t5VX7Sjj4KrRUmBtIxksIIUSYGZfASyl1lVKqVCl1WCn11fE4BjHx2awW3r8gk/WltVQ2d/FqxGqzzLjjCXMDCbyEEEKEmTEPvJRSVuCXwNXA/2/vbmOsuOo4jn9/3aUPsLGlT6RlkQeDVWhrLFtKi1bSRqxPtCoaSgwxmvSViW9qbYOJ+EITsImmNsaQSFKjKYlNGo1S0BpXaiMRtgUW2tIsrbRga8U2NgvI0/59MQfvXNxVLnJn9s78PsmEmXOG3HN/OXv2v3Pn3jsHuFvSnKLHYZ3hc33TGAnYtu8tXu+eCtMXwr4/ZJ3n+YKtmZl1ljJ+c80HhiLipYg4BqwH7ixhHNYBZlw+iQWzLgWg6zzBDSsanb7iZWZmHaaM31xTgVdzx/uBm04/SdI9wD0AU6ZMob+/v62DGh4ebvtjdJLxlMf1PSfYAhw5NMzmg5O5pWsi3ScPs3XgWQ71vNX2xx9PWYwHzqOZ82hwFs2cRzPnkRm3lwwiYi2wFqCvry8WLVrU1sfr7++n3Y/RScZTHguOn+TRF5/k4ot7uPX2hXDkbtj2I26cvwCufE/bH388ZTEeOI9mzqPBWTRzHs2cR6aMwusAMC133JvazEZ14YQuvvHJuYxEZA0Lv5J9pMSls8odmJmZWYvKKLy2ArMlzSQruJYBy0sYh3WQpfN6GweTp8OSh8objJmZ2VkqvPCKiBOSvgxsArqAdRGxu+hxmJmZmRWtlHu8ImIDsKGMxzYzMzMriz8IyczMzKwgLrzMzMzMCuLCy8zMzKwgLrzMzMzMCuLCy8zMzKwgLrzMzMzMCuLCy8zMzKwgLrzMzMzMCuLCy8zMzKwgLrzMzMzMCuLCy8zMzKwgioiyx/A/SfobsK/ND3M5cLDNj9FJnEeDs2jmPJo5jwZn0cx5NKtTHtMj4orROjqi8CqCpG0R0Vf2OMYL59HgLJo5j2bOo8FZNHMezZxHxi81mpmZmRXEhZeZmZlZQVx4NawtewDjjPNocBbNnEcz59HgLJo5j2bOA9/jZWZmZlYYX/EyMzMzK0ilCy9J6yS9IWlXru2zknZLGpHUd9r5D0gakrRH0kdy7XektiFJ9xf5HM6VVrKQ9GFJA5IG07+35frmpfYhSQ9JUtHP5VxodW6k/ndKGpZ0b66t4+cGnNXPyvWS/pj6ByVdmNo7fn60+LMyQdIj6Tk/L+mBXF+V58Z3JL0gaaekxyVdkuur2zo6ahY1XkfHnBupv7Lr6BmLiMpuwK3ADcCuXNt7gWuAfqAv1z4H2AFcAMwE9gJdadsLzALOT+fMKfu5tTmL9wNXp/1rgQO5vj8BCwABTwAfLfu5tTuPXP9jwM+Ae9NxJebGWcyPbmAn8L50fBnQVZX50WIWy4H1aX8i8GdgRg3mxmKgO+2vBlan/Tquo2NlUdd1dNQ8cv2VXUfPdKv0Fa+I2Ay8eVrb8xGxZ5TT7yRbQI9GxMvAEDA/bUMR8VJEHAPWp3M7SitZRMSzEfGXdLgbuEjSBZKuAt4REVsi+4n5MXBXu8feDi3ODSTdBbxMlscplZgb0HIei4GdEbEjnff3iDhZlfnRYhYBTJLUDVwEHAPepvpz49cRcSIdbgF6034d19FRs6jxOjrW3Kj8OnqmKl14tWgq8GrueH9qG6u9Lj4DPBMRR8me9/5cXy2ykNQDfA345mlddZ0b7wZC0iZJz0i6L7XXcX48BhwCXgNeAR6MiDep19z4ItlVG/A6ms8ir67r6L/z8Dra0F32AGz8kjSX7FLx4rLHUrJVwHcjYrhDb8U417qBDwA3AoeB30oaAP5R6qjKMR84CVwNTAaekvRkuUMqjqSVwAngp2WPpWxjZVHXdXSUPFbhdRRw4ZV3AJiWO+5NbfyX9sqS1As8DqyIiL2p+QC5y8bUJAvgJmCppDXAJcCIpH8CA9RwbpD9Rbo5Ig4CSNpAdp/HT6jf/FgObIyI48Abkp4G+sj+gq/03JD0BeATwO3pJTOo6To6Rha1XUfHyMPraOKXGht+ASxLr8HPBGaT3QC5FZgtaaak84Fl6dzKSu9C+RVwf0Q8fao9Il4D3pa0IL0LZwXw85KGWZiI+GBEzIiIGcD3gG9HxMPUcG4km4DrJE1M9zZ9CHiupvPjFeA2AEmTyG6YfoGKzw1JdwD3AUsi4nCuq3br6FhZ1HUdHSsPr6M5Zd/d384NeJTs3ovjZH+lfwn4VNo/CvwV2JQ7fyXZuyv2kHuXCfAx4MXUt7Ls59XuLICvk923sj23XZn6+oBdKYuHSR/C22lbq3Mj9/9Wkd6NU5W5cTZ5AJ8nu0F2F7Am197x86PFn5Uesndo7QaeA75ak7kxRHZV79T68MPc+XVbR0fNosbr6JhzI/f/KrmOnunmT643MzMzK4hfajQzMzMriAsvMzMzs4K48DIzMzMriAsvMzMzs4K48DIzMzMriAsvM6sMSZdJ2p621yUdSPvDkn5Q9vjMzPxxEmZWSZJWAcMR8WDZYzEzO8VXvMys8iQtkvTLtL9K0iOSnpK0T9KnJa2RNChpo6QJ6bx5kn4vaSB9IfhV5T4LM6sCF15mVkfvIvuqnyVk3zH5u4i4DjgCfDwVX98HlkbEPGAd8K2yBmtm1eEvyTazOnoiIo5LGgS6gI2pfRCYAVwDXAv8Jvs6PbrIvhrFzOz/4sLLzOroKEBEjEg6Ho2bXUfI1kUBuyPi5rIGaGbV5Jcazcz+0x7gCkk3A0iaIGluyWMyswpw4WVmdpqIOAYsBVZL2gFsB24pd1RmVgX+OAkzMzOzgviKl5mZmVlBXHiZmZmZFcSFl5mZmVlBXHiZmZmZFcSFl5mZmVlBXHiZmZmZFcSFl5mZmVlBXHiZmZmZFeRfEbKyKieeijMAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "35gIlQLfu0TT"
      },
      "source": [
        "You can see that the naive forecast lags 1 step behind the time series."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Uh_7244Gsxfx"
      },
      "source": [
        "Now let's compute the mean squared error and the mean absolute error between the forecasts and the predictions in the validation period:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "byNnC7IbsnMZ",
        "outputId": "739bce87-9670-486e-b34a-d5f1e64a5e93"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, naive_forecast).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, naive_forecast).numpy())"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "19.578308\n",
            "2.6011975\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WGPBC9QttI1u"
      },
      "source": [
        "That's our baseline, now let's try a moving average:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YGz5UsUdf2tV"
      },
      "source": [
        "def moving_average_forecast(series, window_size):\n",
        "  \"\"\"Forecasts the mean of the last few values.\n",
        "     If window_size=1, then this is equivalent to naive forecast\"\"\"\n",
        "  forecast = []\n",
        "  for time in range(len(series) - window_size):\n",
        "    forecast.append(series[time:time + window_size].mean())\n",
        "  return np.array(forecast)"
      ],
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "HHFhGXQji7_r",
        "outputId": "b84b77eb-5f91-44d5-a3d9-25c9dd9fa516"
      },
      "source": [
        "moving_avg = moving_average_forecast(series, 30)[split_time - 30:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, moving_avg)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wG7pTAd7z0e8",
        "outputId": "ef777715-41f8-4332-c08c-bdb0ce449032"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, moving_avg).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, moving_avg).numpy())"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "65.786224\n",
            "4.3040023\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JMYPnJqwz8nS"
      },
      "source": [
        "That's worse than naive forecast! The moving average does not anticipate trend or seasonality, so let's try to remove them by using differencing. Since the seasonality period is 365 days, we will subtract the value at time *t* – 365 from the value at time *t*."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "5pqySF7-rJR4",
        "outputId": "bd3344ba-6807-4a6b-b6ba-3be98fe8d8f9"
      },
      "source": [
        "diff_series = (series[365:] - series[:-365])\n",
        "diff_time = time[365:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(diff_time, diff_series)\n",
        "plt.show()"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xPlPlS7DskWg"
      },
      "source": [
        "Great, the trend and seasonality seem to be gone, so now we can use the moving average:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "QmZpz7arsjbb",
        "outputId": "007c59a7-f982-479e-aa7e-b1fb54ea27bf"
      },
      "source": [
        "diff_moving_avg = moving_average_forecast(diff_series, 50)[split_time - 365 - 50:]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, diff_series[split_time - 365:])\n",
        "plot_series(time_valid, diff_moving_avg)\n",
        "plt.show()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Gno9S2lyecnc"
      },
      "source": [
        "Now let's bring back the trend and seasonality by adding the past values from t – 365:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "Dv6RWFq7TFGB",
        "outputId": "aeb65065-a6ae-47f2-ebf6-7d2c685f9a94"
      },
      "source": [
        "diff_moving_avg_plus_past = series[split_time - 365:-365] + diff_moving_avg\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, diff_moving_avg_plus_past)\n",
        "plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "59jmBrwcTFCx",
        "outputId": "4292f33a-322a-4ce7-d438-514168f8733a"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_past).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_past).numpy())"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "8.498155\n",
            "2.3271792\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vx9Et1Hkeusl"
      },
      "source": [
        "Better than naive forecast, good. However the forecasts look a bit too random, because we're just adding past values, which were noisy. Let's use a moving averaging on past values to remove some of the noise:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 388
        },
        "id": "K81dtROoTE_r",
        "outputId": "c601769c-873e-4e3d-93ce-17f9c454324b"
      },
      "source": [
        "diff_moving_avg_plus_smooth_past = moving_average_forecast(series[split_time - 370:-360], 10) + diff_moving_avg\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "plot_series(time_valid, x_valid)\n",
        "plot_series(time_valid, diff_moving_avg_plus_smooth_past)\n",
        "plt.show()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iN2MsBxWTE3m",
        "outputId": "45b6bb11-cae0-44e0-d178-e461c29b971d"
      },
      "source": [
        "print(keras.metrics.mean_squared_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())\n",
        "print(keras.metrics.mean_absolute_error(x_valid, diff_moving_avg_plus_smooth_past).numpy())"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "12.527958\n",
            "2.2034435\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}