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   1  {
   2    "nbformat": 4,
   3    "nbformat_minor": 0,
   4    "metadata": {
   5      "accelerator": "GPU",
   6      "colab": {
   7        "name": "Week 1 Exercise Answer.ipynb",
   8        "provenance": [],
   9        "collapsed_sections": [],
  10        "toc_visible": true
  11      },
  12      "kernelspec": {
  13        "display_name": "Python 3",
  14        "name": "python3"
  15      }
  16    },
  17    "cells": [
  18      {
  19        "cell_type": "code",
  20        "metadata": {
  21          "id": "zX4Kg8DUTKWO"
  22        },
  23        "source": [
  24          "#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
  25          "# you may not use this file except in compliance with the License.\n",
  26          "# You may obtain a copy of the License at\n",
  27          "#\n",
  28          "# https://www.apache.org/licenses/LICENSE-2.0\n",
  29          "#\n",
  30          "# Unless required by applicable law or agreed to in writing, software\n",
  31          "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
  32          "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
  33          "# See the License for the specific language governing permissions and\n",
  34          "# limitations under the License."
  35        ],
  36        "execution_count": 1,
  37        "outputs": []
  38      },
  39      {
  40        "cell_type": "code",
  41        "metadata": {
  42          "colab": {
  43            "base_uri": "https://localhost:8080/"
  44          },
  45          "id": "t9HrvPfrSlzS",
  46          "outputId": "98d42f16-05b8-44d7-f428-445fc3887809"
  47        },
  48        "source": [
  49          "import tensorflow as tf\n",
  50          "print(tf.__version__)\n"
  51        ],
  52        "execution_count": 2,
  53        "outputs": [
  54          {
  55            "output_type": "stream",
  56            "text": [
  57              "2.5.0\n"
  58            ],
  59            "name": "stdout"
  60          }
  61        ]
  62      },
  63      {
  64        "cell_type": "code",
  65        "metadata": {
  66          "colab": {
  67            "base_uri": "https://localhost:8080/",
  68            "height": 388
  69          },
  70          "id": "gqWabzlJ63nL",
  71          "outputId": "d0678e71-1878-4ced-d8ab-442e0a162d03"
  72        },
  73        "source": [
  74          "import numpy as np\n",
  75          "import matplotlib.pyplot as plt\n",
  76          "import tensorflow as tf\n",
  77          "from tensorflow import keras\n",
  78          "\n",
  79          "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
  80          "    plt.plot(time[start:end], series[start:end], format)\n",
  81          "    plt.xlabel(\"Time\")\n",
  82          "    plt.ylabel(\"Value\")\n",
  83          "    plt.grid(True)\n",
  84          "\n",
  85          "def trend(time, slope=0):\n",
  86          "    return slope * time\n",
  87          "\n",
  88          "def seasonal_pattern(season_time):\n",
  89          "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
  90          "    return np.where(season_time < 0.1,\n",
  91          "                    np.cos(season_time * 7 * np.pi),\n",
  92          "                    1 / np.exp(5 * season_time))\n",
  93          "\n",
  94          "def seasonality(time, period, amplitude=1, phase=0):\n",
  95          "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
  96          "    season_time = ((time + phase) % period) / period\n",
  97          "    return amplitude * seasonal_pattern(season_time)\n",
  98          "\n",
  99          "def noise(time, noise_level=1, seed=None):\n",
 100          "    rnd = np.random.RandomState(seed)\n",
 101          "    return rnd.randn(len(time)) * noise_level\n",
 102          "\n",
 103          "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n",
 104          "baseline = 10\n",
 105          "series = trend(time, 0.1)  \n",
 106          "baseline = 10\n",
 107          "amplitude = 40\n",
 108          "slope = 0.01\n",
 109          "noise_level = 2\n",
 110          "\n",
 111          "# Create the series\n",
 112          "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
 113          "# Update with noise\n",
 114          "series += noise(time, noise_level, seed=42)\n",
 115          "\n",
 116          "plt.figure(figsize=(10, 6))\n",
 117          "plot_series(time, series)\n",
 118          "plt.show()"
 119        ],
 120        "execution_count": 3,
 121        "outputs": [
 122          {
 123            "output_type": "display_data",
 124            "data": {
 125              "image/png": 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\n",
 126              "text/plain": [
 127                "<Figure size 720x432 with 1 Axes>"
 128              ]
 129            },
 130            "metadata": {
 131              "tags": [],
 132              "needs_background": "light"
 133            }
 134          }
 135        ]
 136      },
 137      {
 138        "cell_type": "markdown",
 139        "metadata": {
 140          "id": "UfdyqJJ1VZVu"
 141        },
 142        "source": [
 143          "Now that we have the time series, let's split it so we can start forecasting"
 144        ]
 145      },
 146      {
 147        "cell_type": "code",
 148        "metadata": {
 149          "colab": {
 150            "base_uri": "https://localhost:8080/",
 151            "height": 759
 152          },
 153          "id": "_w0eKap5uFNP",
 154          "outputId": "f7fd6b6e-695b-4af9-8e85-80f2103e5ab2"
 155        },
 156        "source": [
 157          "split_time = 1100\n",
 158          "time_train = time[:split_time]\n",
 159          "x_train = series[:split_time]\n",
 160          "time_valid = time[split_time:]\n",
 161          "x_valid = series[split_time:]\n",
 162          "plt.figure(figsize=(10, 6))\n",
 163          "plot_series(time_train, x_train)\n",
 164          "plt.show()\n",
 165          "\n",
 166          "plt.figure(figsize=(10, 6))\n",
 167          "plot_series(time_valid, x_valid)\n",
 168          "plt.show()"
 169        ],
 170        "execution_count": 4,
 171        "outputs": [
 172          {
 173            "output_type": "display_data",
 174            "data": {
 175              "image/png": 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\n",
 176              "text/plain": [
 177                "<Figure size 720x432 with 1 Axes>"
 178              ]
 179            },
 180            "metadata": {
 181              "tags": [],
 182              "needs_background": "light"
 183            }
 184          },
 185          {
 186            "output_type": "display_data",
 187            "data": {
 188              "image/png": 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\n",
 189              "text/plain": [
 190                "<Figure size 720x432 with 1 Axes>"
 191              ]
 192            },
 193            "metadata": {
 194              "tags": [],
 195              "needs_background": "light"
 196            }
 197          }
 198        ]
 199      },
 200      {
 201        "cell_type": "markdown",
 202        "metadata": {
 203          "id": "bjD8ncEZbjEW"
 204        },
 205        "source": [
 206          "# Naive Forecast"
 207        ]
 208      },
 209      {
 210        "cell_type": "code",
 211        "metadata": {
 212          "id": "Pj_-uCeYxcAb"
 213        },
 214        "source": [
 215          "naive_forecast = series[split_time - 1:-1]"
 216        ],
 217        "execution_count": 5,
 218        "outputs": []
 219      },
 220      {
 221        "cell_type": "code",
 222        "metadata": {
 223          "colab": {
 224            "base_uri": "https://localhost:8080/",
 225            "height": 388
 226          },
 227          "id": "JtxwHj9Ig0jT",
 228          "outputId": "ddb9bbfe-cde7-4c20-a641-e09b1d35658b"
 229        },
 230        "source": [
 231          "plt.figure(figsize=(10, 6))\n",
 232          "plot_series(time_valid, x_valid)\n",
 233          "plot_series(time_valid, naive_forecast)"
 234        ],
 235        "execution_count": 6,
 236        "outputs": [
 237          {
 238            "output_type": "display_data",
 239            "data": {
 240              "image/png": 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\n",
 241              "text/plain": [
 242                "<Figure size 720x432 with 1 Axes>"
 243              ]
 244            },
 245            "metadata": {
 246              "tags": [],
 247              "needs_background": "light"
 248            }
 249          }
 250        ]
 251      },
 252      {
 253        "cell_type": "markdown",
 254        "metadata": {
 255          "id": "fw1SP5WeuixH"
 256        },
 257        "source": [
 258          "Let's zoom in on the start of the validation period:"
 259        ]
 260      },
 261      {
 262        "cell_type": "code",
 263        "metadata": {
 264          "colab": {
 265            "base_uri": "https://localhost:8080/",
 266            "height": 388
 267          },
 268          "id": "D0MKg7FNug9V",
 269          "outputId": "6cfaa6d6-3d76-475a-e1d0-0a931b0b505e"
 270        },
 271        "source": [
 272          "plt.figure(figsize=(10, 6))\n",
 273          "plot_series(time_valid, x_valid, start=0, end=150)\n",
 274          "plot_series(time_valid, naive_forecast, start=1, end=151)"
 275        ],
 276        "execution_count": 7,
 277        "outputs": [
 278          {
 279            "output_type": "display_data",
 280            "data": {
 281              "image/png": 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\n",
 282              "text/plain": [
 283                "<Figure size 720x432 with 1 Axes>"
 284              ]
 285            },
 286            "metadata": {
 287              "tags": [],
 288              "needs_background": "light"
 289            }
 290          }
 291        ]
 292      },
 293      {
 294        "cell_type": "markdown",
 295        "metadata": {
 296          "id": "35gIlQLfu0TT"
 297        },
 298        "source": [
 299          "You can see that the naive forecast lags 1 step behind the time series."
 300        ]
 301      },
 302      {
 303        "cell_type": "markdown",
 304        "metadata": {
 305          "id": "Uh_7244Gsxfx"
 306        },
 307        "source": [
 308          "Now let's compute the mean squared error and the mean absolute error between the forecasts and the predictions in the validation period:"
 309        ]
 310      },
 311      {
 312        "cell_type": "code",
 313        "metadata": {
 314          "colab": {
 315            "base_uri": "https://localhost:8080/"
 316          },
 317          "id": "byNnC7IbsnMZ",
 318          "outputId": "739bce87-9670-486e-b34a-d5f1e64a5e93"
 319        },
 320        "source": [
 321          "print(keras.metrics.mean_squared_error(x_valid, naive_forecast).numpy())\n",
 322          "print(keras.metrics.mean_absolute_error(x_valid, naive_forecast).numpy())"
 323        ],
 324        "execution_count": 8,
 325        "outputs": [
 326          {
 327            "output_type": "stream",
 328            "text": [
 329              "19.578308\n",
 330              "2.6011975\n"
 331            ],
 332            "name": "stdout"
 333          }
 334        ]
 335      },
 336      {
 337        "cell_type": "markdown",
 338        "metadata": {
 339          "id": "WGPBC9QttI1u"
 340        },
 341        "source": [
 342          "That's our baseline, now let's try a moving average:"
 343        ]
 344      },
 345      {
 346        "cell_type": "code",
 347        "metadata": {
 348          "id": "YGz5UsUdf2tV"
 349        },
 350        "source": [
 351          "def moving_average_forecast(series, window_size):\n",
 352          "  \"\"\"Forecasts the mean of the last few values.\n",
 353          "     If window_size=1, then this is equivalent to naive forecast\"\"\"\n",
 354          "  forecast = []\n",
 355          "  for time in range(len(series) - window_size):\n",
 356          "    forecast.append(series[time:time + window_size].mean())\n",
 357          "  return np.array(forecast)"
 358        ],
 359        "execution_count": 9,
 360        "outputs": []
 361      },
 362      {
 363        "cell_type": "code",
 364        "metadata": {
 365          "colab": {
 366            "base_uri": "https://localhost:8080/",
 367            "height": 388
 368          },
 369          "id": "HHFhGXQji7_r",
 370          "outputId": "b84b77eb-5f91-44d5-a3d9-25c9dd9fa516"
 371        },
 372        "source": [
 373          "moving_avg = moving_average_forecast(series, 30)[split_time - 30:]\n",
 374          "\n",
 375          "plt.figure(figsize=(10, 6))\n",
 376          "plot_series(time_valid, x_valid)\n",
 377          "plot_series(time_valid, moving_avg)"
 378        ],
 379        "execution_count": 10,
 380        "outputs": [
 381          {
 382            "output_type": "display_data",
 383            "data": {
 384              "image/png": 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1jKKFg68VNj8Ca38NR97t3yNiCHos4zWzzInNYvwYZ5Y7cTuMsr2GzgC/enUPv3xlD5++bz1N3UbA1ROKZm5jbyGEECID4r0vZapxAvjAvDJ0xciyXkEPvPwd+OUi+Ntt8Or34d6L4YmbINA1rFMYRYJgMZuYV+nCYTVR6XbgjmW8DrZ6AaMOraErwOE2X+K5rTLdKIQQ4iQSL3s2ZUHkJYHXGJ02tYhJBQ4ee2eY2/S07Yd7L4G3/winfBxuXQ3/tg8u/nfY+Rz84WzY+sSQp+k7V33JwkpWzq/AZNIoyDMyXgdajEBr+fRiAN493JF47lDTjS2eIIFwZvqTCSGEEKkWz3hlwUyjBF5jZTGb+NQ5M1i7r5XdjUP0z2rYDPddCt4m+NTf4CN/hMlLwVUOF/wrfPYf4K6Epz4HzbsGPZVSivj756uXzOPOTy4HSGS89scDrxmxwOtQe+K5Q2W8Pnrnm/z+9X2DvxYhhBAiR8QDL3MWRF4SeKXAjWdOx24xcf+bB5MfdHgdPPAhsDrhc6/BrA+ceMzUFXDtPcbnxzYPes1km33Ga7wOxKYaT48FXlvqe6cwB8t4KaVo6AxwtFO63wshhJgYdCmun1iKnTYuXVTJmj1J6rwOroEHrwVXBdz8IpTOTn6ykllgcUDjtkGvmawfSTzwqmvrwWzSmFXmxG23EIrqTC/Jx6QNHngFIzpRXeGR/R6FEEJMEDLVOAHNKM2nyRMkenzj0kA3PHUrFE2Hz7wEhVMHP5HZAuULoGn7oIcl23PKbjFjt5iI6IpSpw2TSWN6aT4AVYUOSpw2WryhpOf1BIwVj92B4a98VEqxek9Lv/0jhRBCiGyhdOOjZLwmkEkFDqK6ou34+qnXfwSeRvjInUYt17BOtmTIwEuhkkbu8TqvcrcdgOklRuBVWeCgzGUfNOMVbzWRbNuhgWyq6+CmP29g3f62YT9HCCGEGC/STmICmlSYB8CxrkDvgw3vwYZ74IzPwtTlwz9Z5RLwNYO3OekhxqrGgb8XX9lY5ooFXrGMV4XbTrnbPmhxvTcWeHlGkPFqi2XQ6jt6hv0cIYQQYrwkAq8siLwk8EqRqkIH0Cfw0nV4/l/BWQ4XfW9kJ6tcbHxsej/pIcYu6wO/gQbLeJUPkfHqDbySZ7xe39XER//4JuGo3u85/YJOIYQQIkvEq4Bky6AJpLLACLyaumPBx6YH4OhGuOw/Ia9ohCdbYnwcZLpxsF3WCxzHZbxigVdFgZHxavEEue3Bjby+q+mE53pjmS5PcOCNtgHeq+tkU11non1GPPBqPC7wqt3dzJ21+5O+BiGEEGI8KJlqnHhKnTasZs3I+vja4LX/gBnnwanXj/xk+SXgngyNyTNeep8+XscrOC7jdUZ1Cf9ybjUXzi2n3G0nFNV5aXsjv33txF5dvtjm2kr1fn68+DTktqNd/b4+PuP19y3HuG/tgaSvQQghhBgP0k5iAjKZNCoLHDR2+eG1HxirGa/6n9GvXa1cPGjGS5H81O5ExssGgMNq5gfXLKbYaWPZ9GIWTHJz7bIpbK7v7LeVEPSv7UpW5xXPcG090tnv6+MzXoFIlJ7QiR3wdzd6pF2FEEKIcSPF9RNUVaEDV8t7sOkvcPbtULlo9CerXAwtuyA6cICiYptkDyQeeMUzXn0tn1HMS1+9kK9fPh9Ng0c21LN2b+sJ9VoA3UmCI18i8DIyXvHpyYau/k1Xg2Edfzjar81EVFdc+8c3ZQpSCCHEuOnt45X5yEsCrxSa5Lby6Y7fgbsKar45tpNVLgE9DK17Bvy2Uskj98RUo+vEwCtuclEeZ1aXcNfq/XzyvvW8+H4j0BtUwdAZr92NHgLhaL+VkH0Dt2AkSrHqRv35CmOFJ0bz1p5QlP0t3qRjE0IIIVJJyVTjxLRSX8c8/QDqsh+B3T22k00avMBeH2RV47SSfPJtZibFVlomc8cVC/jc+TMBONRqTDn2n2ocOOPlCUQwmzQiumLnse5+z+k73RgM65xv2oap/m146vMQ7t2KqK5dtiQSQggxPmSqcYI6q+M5jqgyOqs/OPaTlc4Bsy1pS4kkCw4B+NBpk1lzx8pEW4lkls8o5rtXL6LcbedIrAdX34xXtz95xmvJlEIA3m/oxhc0AjE4LvCKRFlm2ocyWaB1N6z6EQ2xwKu+vUc63QshhBgX8V1lJOM1kbQfYEr7eh6NrOSYJwWF42YrlM9PurIx2SbZAGaTlmglMRxTi/M40mEERN5ghKJ8I2BLlvHyBiLMrXBh0qC5O4A3GKE61qT1WJ86r0BYZ6lpP4FJK2DFzfDW77DtezFxnY4eKbAXQgiRfr19vDI7DpDAK3U2/QWlmXki+oHeXl5jVZl86yCjuD41l5lanJ+YAvQGI1TFuvAn26/RF4xQ4LBS4rTR6g3hDUaYU+EC+me89HCARdohvGWnweU/gaql1Gz/Lp81P4+dEHXt0uleCCFE+sVnWMxZMNeY9sBL0zSzpmnvaZr2XOzrmZqmrdc0bZ+maY9pmmZL9xjSLhqBzY8QnHkxTZSkroN75RLwNoKv9YRvKVKXMp1SlEdDpx9dV3iDEUqdNmxm04CrGnVd4Q1FcDkslDrttHmDeAIRSl12Spw2jvUJOqeH92PXInSWnAZWB9zwMPvtC/ie9WFq7V9DbXqwt+JRCCGESJOTrY/XV4Cdfb7+GfArpdQcoAP47DiMIb0OrAJvI5bln8KkYfTySoVBtg4yiutTc5mpxXmEo4pmTxBfMILLbsHtsAy4qrEnHEUpcNnNlDhttPtCeINh3HYLkwoc/TJe8yO7AWgtOtV4oHAqX8/7IT8s/TkNqpRl730XnvwMdB1NzQsRQgghBnDSFNdrmjYV+CBwb+xrDbgIeDJ2yAPAR9I5hnHx3kOQX4pl/hWUu+2pzXjBgNON+mAdVEdoSrExtXikowdvwMhmFeRZBwy84j27XHYrpS4bTZ4AgbCOy25hcpGj32s/Vd9Jgyqhy1KeeKyh009o2rncbvsvXqi8DXY8C79eAk/fDkFPSl6PEEII0Vc29fGypPn8vwbuAOK9FUqBTqVU/H/0I8CUgZ6oadqtwK0AlZWV1NbWpnWgXq93VNewhD2cu/M5GiZfyb61b5Gvhdl56Bi1tR0pGdc5tmLat7zK7uDifo+3twXwR1RK7ssxr9E89R9vbaLTF6SzpRFCOoeOBqitre13bxpix9Yd2EOgM8qR9th2QfWH0H069a0R41g9wtls4x/RFezb+j6O1l0EI4qOnjCBtmMUWKL8zlNDyZmnM+Xo80zd8ij+PbVsX/wNfK7qMb+m8TDa98zJQO7NwOS+DEzuS3JybwY20vtyqMvYRWXH9vext+xK06iGJ22Bl6ZpVwPNSqmNmqbVjPT5Sql7gHsAVqxYoWpqRnyKEamtrWVU19jwJ1ARpl59B1OrTuWR+nc50OKjpuYDqRlY/TKqfK1UHTe2e/etxxaKUFNz3pgv4Q9F+fbalyiYNIPAtj0smF2Nv74DfyhKTc15/e7Ne3UdsPYtzlp2Ks6jXbxaZzR4XbpkAS2eIK/X7+bs8y7A0vAOljU+Vuuncd7sedScNZ19zV54dTXnn76Y6J4WNhxs5+wrrweuh4NvkP/Xz3LG5m/Ayu/AmbcadWFZbNTvmZOA3JuByX0ZmNyX5OTeDGyk92XrkU5Y9yannnIKNQsr0zewYUjnVON5wDWaph0CHsWYYvwNUKRpWjzgmwrkdoHP5oeh8hSoMuqYqgrzTtizcEwSWwf1n/ZTJG+gOlJ5NjOlThv7mr3oCpx2C277wFONvqDxW4PLYaHE1bsuIl7jBcZm2fqeV4kqjbX6EnpC8U20jdq3yUV5VJc6aejyJ77HzAvgtrUw80J45Xvwx7Og/WBKXp8QQoiT20lRXK+U+pZSaqpSqhq4AXhdKfUJYBXw8dhhNwHPpGsMade0w9gKZ9knEg9VFjjwBPtvnTMmlUsgGoK2ff0e1vXUvoGmFuexvaEbIFbjNXBxvTdorHR02oxVjXEuh4Wqwnjg5Ufb/xqb1Ry6cBEIR2OPGwFpVaGDeZUulIL9zX026XZVwCeegE89Df5O+N8PQnPfdRlCCCHEyPXWeGV4IGSmj9c3gK9pmrYPo+brvgyMITW2PgYmC5zyT4mH4sFHyrJeiQL7/isbdaUghW+g5TNK2Nts7J/osptxO6x0+cPox7XIjwdjboeFsj4ZL5fdktiiqL35GJbG91gdPQ0Afyzw6vYbQVthvpW5lUbZ356mAQrqZ18E//KcEXDeUwPv3CdtJ4QQQoyaUidZ53qlVK1S6urY5weUUmcqpeYopf5JKRUcjzGknFKw81movgCcZYmHJ6U68CqbC5rJmG7se3lSuyz2ylMmJT532a2cOrUQfzjKs1saEo8f6/InMnkuu4XSPt3x3Q5LovGqrW41GorVujH92hOKBV6BCJoGLpuF6tJ8bGYTe5qTrGScdArc9ibMOBee/xo89kkjCyaEEEKM0Ekx1TjhNe+E9gOw6Jp+D/edbksJix1KZp0YeCmFlsKU1/LpxZS7jUDKaTfzoVMnc8qUQn720i6CUcWGg+2c85PXeedQe+wYCyXOvhkvK3k2M0X5Vsob3yBiL2abmgWQmGr0BMK4bBZMJg2L2cSscid7m7zJB+WuhE/8FS77Eex5Ce69GFr2pOw1CyGEODno+knSx2tC2/ksoMH8/htiV8YKzFO2bRBA2fwTAg5dgSmFPz2TSePyxcZKD7fdismk8Z0PLuRYV4ANxyLsjWWm3tjbit1iwmYxUeCwYDUb72KXw1gvUeW2Mat7Pd1TLkCPvb0SGS9/hIK83o2751a6B55q7D8wOPfLcNPfjYzXvRfD7pdS98KFEEJMeL17NWY+8pLAazSUgh3PwPSzjaxMHw6rmeJ8K8e6Aiil+NOaA+xvGSSrMxzl86F9P0RCfYaQulWNcTeeOYNl04uYUWZseL1iRjFmk0Zzj0pMnXoCRmd7MN7A8QL7fKsZgDPzGyiMdtA26cLEef2h3oyX29HbwWRehYsjHX58wQhKKeoH27txxrlway2UzIRHboA1/yN1X0IIIYZFnSyd6yesY1ugeQcs+diA355SnEddew8t3iA/fmEnz2xuGPC4YStfAHrEmNqM0dMQcyyaXMDTXziPAoeRlbKYTUwqcNAa0Gno7M3gufoETyVOGy67MX0IcLbaAkBLxbmAsYLEn5hqjPQLvOIF9rsau/n209u44OereOLd+uQDLJoGn3nJuO+v/yf8/gzY8mgKXrkQQoiJLBoPvLIg8pLAazTeewgsjn6rGfuaF5tC29NoZLriNU6jVj7P+Ni6O/FQKjfJHsyUojza/YrG7t6atXjGC6DUZev39aLgFvboU2jVigEoyrMmMl7dgXAiqAM4dWohNouJ6+9+m0c21FNZYOc7T79vNGlNxpYPH7sXPvonsDnh6c/DzudS9XKFEEJMQFJcn8vCAdj2OCz8EOQVDXjI/Eo3Td1BNsQK0RNNQkerLBZ4tfQJvFK4SfZgphTn0epXHOsKYDMbb5e+gdbyGcUsnRa7D9Ewk7s3s05fxLFOI1ArzrclzXhNLsrjmS+exz+tmMpXLp7LS1+5kII8K3ev7s3sDUjT4NTr4OaXYcpyI/ja+2oKX7UQQoiJJJs2yU73Xo0Tz56XINAFSz+R9JB5k4wptOe2GlOM8eLyUbM5oWh6v8BLV2pcigQnFznoCCp6ogHOnl3Kmj0t/YKnr14yr/fgo5uwRv2s0xczxWN0CSnMt9LVY/TvMmq8rP3Ov7CqgJ989NTE1xctKOel9xuJ6grzUH9DrA64/iF46GPw8Mfg1Oth0YeNn0/ZPJh8empXIAghhMhJJ10frwll57OQX2ZsbZPE/Fjt0oEWoyu7f6yBF8RWNvbNeI1P5D6lKB9dGXVa580uxWE14bQnidcPrQFgvb4gsaoznvFSStEdiFCQN3isf/7ccroDEWNfreEomAy3vA7nfAl953Pw6I3wt9uN1Y+/XwF1bw/7tQohhJiYdN34KIFXrgkHYM/LsOAqMJmTHlZV6MDdJzgZc8YLjJWNrXtAN85lzFePQ41XcV6/z394zRI+dfaMgQ8++Ab+koV0UEBzt5HxKmcySPMAACAASURBVMq30hOK4g9HierqhIzX8c6bXQrA2r2twx+kNQ8u/zH3rHiBjwW/z86PvQ4fuQv0MPz5Ctj25PDPJYQQYsI52bcMyl0HaiHkhYUfHvQwTdMS042QooxX+QKIBqHzMDCONV5FjsTnVYV5XHfGNFZUl5x4YCQI9euJTDNWMzZ7+me8uv29Ww0NptRlZ/HkAt7YN4LAK2Z/t8ZGNZ9Xmgtg6T/D7W/B9HPgb1+AuvUjPp8QQoiJQYrrc9Wuv4O9YNBpxrh5selGt8NCTzgFG2aXzzc+xqYbjanG8ajx6s14xbvyD+joRogEMM/+AABN3UFMmvH6QxGdrtg+jQVDZLwAPjCvnI2HO0bc/6wu1gds9Z4W4wG726gBK6gyNtxe9RMjQBRCCHFSSdR4ZUHUkwVDyBFKGSvnZl8EFtuQh59RXYzTZmbptKLUTDUmVjYaWwcZxfVjP+1Q8m0WXFajnqzCbU9+4ME3AA3H7AsxxXp32S1m8m3GlGy85muojBfAZ86bSb7VzA//viPxl2U4jnQYKyk313cmAj2cpfC512HxtbD6p3D3hdC0fdjnFEIIkfsk45WLWnaBt9EIvIbh2mVTWPfti6kscBBIReCVVwSuSYmtg8arjxdAaZ6JCrcDi3mQt8uhN2DSKZicxYltgexWE3k2I9DqDbyGzniVu+185ZK5rN7Twuu7moc1xlBEp6HLz7mzS4nqirf6TlU6S+Fjf4IbnzC2HXrwWug4NKzzCiGEyH3Z1E5CAq/h2r/K+Dh75bAO1zSNAoeVfJuZnrE2UI0rn98v4zUOtfUAzC82sby6OPkB4QDUb0hMwRbGAi+HxUxebCuh5nh7iSFWNcZ9+pxqZpc7+c/ndhCMDH3/jnb6UQquOW0yADuPdZ940LzL4NPPQCQAD1wDRzYOayxCCCFyW29xfeYjLwm8hmv/61A6x+inNQJ5NnNqphrBKLBv3WNMe45TjRfAjQvt/OHG05MfUPeWUfhffT7QG3jZrabEVGPzCDJeADaLie9/aDGH2nq4b+3BIY+P7/M4q9yF226hO9BbV/fM5qO8uqPJ+KJiAXzyKWN16H2XQu3PIJqCGjwhhBBZS8lUY46JBOHwmzBreNmuvvKsZkIRnWgqNlcsn2esquw+ij5OqxqHZcczYHXCrBpg4IxXU6y9xHBqvOIunFfO+XPKeHTDIPs3xsQL66eV5OF2WPD0Cbz+sGoff3qjTzf8qSvg9jeNPR9r/wt+XAm/WAiN7w97bEIIIXKHTDXmmvr1EO4Zdn1XX/GMz5i3DQIj4wXQsgt9/GYaBxcNw45nYf6VRj8t+me8HPHAyxPAYtISgdhwnTO7lLr2nkT3+2Tq23uwmU1Uuh24HVY8gd7j230hOo9/fl6RUfd1wyNw7v8HKgpP/AsER7aSUgghRPaT4vpcs38VaObEVNpIxIvLU9bLC6BlDwqVFW8gDq4Bf7uxajAmEXhZTIl9Hevb/bgdlhHPry+ZUgjA9oauQY+ra+9hakkeJpNGQZ6F7ljgpeuKdl+I9p7QwE9ccBVc8n1j4+22fXDnOfCP78Gmv0gQJoQQE4SuSwPV3HJgFUw7ExwFI35qvjWe8UpB4OUsg7wSI+Olkx0prx1/A5sb5lySeCgx1Wg1M3+Sm3K3nVZvcNj1XX0tmWzc8/cbuvjGk1t5/N16gpEoV/3mDWp39654rO/oYXpJPkAs42VkGDv9YXQFnT2hwVtTzLwQbnwMSmbBuj/As1+GR26Qvl9CCDEB6Lm4V6OmafnpHEjW6mmHhs2jqu+CvlONKS6wJwveQEoZWyjNvcTYsDqmKL8342WzmPjEWcaChKH2aRxIqcvO5EIHT206ymPv1vPKjiaOdQbYcay7t1EqUNfWw7TieODVW+PV7jMCp3BU4Q1GYsNWAwdh8y43Vj1+rwU+cqfRIuPJmyHSmy0LR3X+5f4NvHOofcSvRQghRGbEpxrNWVDkNWTgpWnauZqm7QB2xb4+TdO0P6Z9ZNniQC2gRlXfBcaqRjAaiqZE+Txo3omu65kvEjy2BbxNMPfyfg/31ngZr/3Gs6ZjNWu47SPPeIEx3bir0QMYqyPjPcH2xzYh7+oJ0x2IJDJeBQ5rYqqxzdsbNHX4jMfuXL2fy3+9JvkFTWZYeiNc8TPY9Rw8/ikIGcX7h9t81O5uYfXuluTPT6LdFyIU0Uf8PCGEEGOTa3s1/gq4HGgDUEptAYbeM2eiOLAK7IUwedmonp6fyhovMDJegU6KVCdapuca9/4D0PpNM0L/Gi+ACreDb1+1kOvPmDaqy8TrvMBYHdkU6wm2v9mowepd0dg/46WUos3XJ/CK1Xm9vrOZPU3eofuDnX0bfPCXRlbv/iuhs46Drca1jnb6R/w6Lv/1Gv785tCtMY63u9GT2PtSCCHEyKlcm2pUSh2/nj9FUUSWU8oorJ91IZhHPk0GKV7VCIk9G2foRzK/59Sel2HK6eAq7/dwonO9pXcF42fOm8lHlk0Z1WXOmlmCSYPz5pTS4g1yLBb0HO300xOKUN9hBEN9a7yiusIfjvYLvNp7jIzT1qNGoX6rN0nBfV9nfBb++RGj8P53K6h8+0cU4Rlx4BWK6LR4gjSMImC79cF3+dUre0f8vGR8QelbJoQ4ueTaqsZ6TdPOBZSmaVZN0/4N2JnmcWWHtv3QVT/q+i5Iw1RjmRF4VasjZLS63tNobIx93DQj9C2uT01keNasUjZ+91KuWFJFVFfs6NOV/kCLr18PL+itJfMEIrT3Ca46e0LsONadmO6LN3Ud0vwr4fa3YMlHWVL3IGvsX+XSlgcwR4YfRMUDb+8ogp42b4jOZKsyR6jZE2DZD1/pv6WSEEJMcLnWx+s24IvAFOAosDT29cS3/3Xj4zC3CRpIyovrCyaDzc0sVZ/ZN9C2JwAFSz56wreK8o1NxPtmvMaq2GmjMrZJ97YjXVhiL35/i5e69h6K862JVZPxj93+MO2+YOLYdl+YTYc7EueMb2M0vAHMgGvv4luVd7NOX8wtkUc4a/3nYf3dRi+zIcQDrpFmm5RS+EIRfKN4/wQjUcLR/jVlDZ0BQlE9EawKIcTJIJ7xyoktg5RSrUqpTyilKpVSFUqpTyql2sZjcBl3YBUUVxstBkYp32pkX1IWeGkalM+nWh3JbMp0y6MwZQWUzT3hW8fXeKVKZYGxcvJAq48lUwoxaUadV317bysJgIJYd/zuQIQ2X4ipxXmYNOjwhdhU19G7jZEnyDObj/L0e0cSz31zXyvffnobAC9uO8bD6w8D8NzWBrbUd7K2q5zbI1/j2uB/0Jk3DV68A+6pgcNvDTp2XzDa7+Nw9YSiKAU9o8iU3fbgRr711LZ+j8Uby6bs/SiEEDlAZVHGa8jCJU3T7gdOWHuvlLo5LSPKFnoUDq0dMKMzEg6bEXz4U1XjBVA+n5lHn8/c6ozGbdD0Plz1PwN+22kz8/XL53PZosqUXnZSYW/Limkl+XT2hNjXYgRefQvw4xkvTyBMmzdEmcuOJxChoyfEe3WdXDi3nJd3NNLiCfLQusOYTRrXLpsKwF83HeGpTUf596sX8eDbh9l6pIurT5nM1x7fwsxSJw1dfk6dUsh7R+byTPV/cMvCALzwb0bx/bSz4NTrYeE1J9S9+UY51Rg/fjSB0rajXcwsc/Z7LN5mI2U1h0IIkQNyrY/Xc8DzsT+vAQXAxG/p3fQ+BLthxsi71fdlM5swm7TUZhjK51NOJ/lRT+rOORLvPQQmKyweOCjVNI0vrpzD3Ep3Si9b6rQlflupdNuZU+Fi0+FOjnb6EysaoX/Gq90XosRpo9hpY3ejURS/orqYUqedxi4/B9t8/VYM7jpm3NPOnjDtvhDeYIRfvrKbUERnd5MHpeDcOWUAtAWBhVfDlzcZrSf8HfD81+AX8+AvH4Z374f2g6BUYopxpFONvYHXyJ7XE4rQ6g3127MSJOMlhDg55VRxvVLqr33+PAxcB6xI/9AyrO5t4+OMc8Z0Gk3TyLeaU1dcD4kC+/LA4dSdc7hCPbD5EVh0DThLx/XSFrOJMpdR51VZ4OCWC2bR4g0Sjqr+U415fTJevhClLhvF+VY21Rn1XcumF1PhtrO5vpNQRKfVGyIc1QlHdfbFWlS0+0KJ9hMPvn0Yt92SmDo9b7YReLX7Y/VTtnzUWZ+n9aY3jCL8878GnXXw3Ffht0vh7gtx1Bl9wwYLvFbtbuYrj77X7zFvYHQZr6MdRuH/8Rk2zyjPJ4QQuSzX+ngdby5QkeqBZJ3Db0HhNCicOuZT5dnMqevjBYmWEhXBQ6k753BtfwqCXbDis+N/bXrrvCoK7Jw1q5RvXGHci7kVrsQx7njGy29ML5Y4bRTn29CVkYFcMqWAcredPU29idsWT5ADLT5CsWL0jp5QouGqrqBmQQUfPKUKgMWTCyjMs9Ia6J2Bv2/tQc772Spa8ufAxd8zsmC3r4Mrfw6BTs5442b+Yv0JXw/+Fp77mrEjwnFe29nEM5sbCPQJ0n2jnGqMt9g4PvDqlqlGIcRJSOVSxkvTNI+mad3xj8DfgW+kf2gZpJSR8Zo+tmxXXL7NnNoMQ9F0/MpGeeBQ6s45HErBO/caGbcZ547vtWPigVf84y0XzOLVr32A5TOKE8fkWc2YTRpHOnqI6ooSp50Sp7HScvGUAuwWMxWxFZJxTd0BdjX2tqk40tFDKKozpchoUXHJwgq+ceUCfnPDUoqdNiYX5dHmN/4mR3XF/W8eIhjReWNvrKO9pkHlIjjr8/Cld3ln/tdZbDrEhWoTatNf4K4L4Mi79IQiPLqhDqUUTd3GKsuOPq0jEqshQ5HB95o8Tn17LOMV6P+8+FTjaFZJCiFEropvkp0TxfVKqdQW6uSCjoPgbYTpZ6fkdHk2S2oDL5OZg0ymPDDyLuhjsu9VaHgPrv5VxvK1lQW9U41gTOXO6ZPtij9W4LBwqM3YUqjMZaPFYwRep083ArSKguMDryA7j/XWzMW3I/rcBTPxBiJcvngSDquZDy81msBOKXKws944/rWdTRzt9KNpsGZPCx89/bgsqcXOO1U38E9blgKw+/ZJ2J/+DNx/FTtO/T7fXFfN4smFia2Q2n0hqgqNgK93f0kIRnQc1uG16DgSy3hFdNXvefGpxpRmYIUQIstlU41X0sBL07TTB3uiUmpT6oeTJeL1XSnMePnDqZ3a2a+mcIF/f0rPOSilYNV/QeF0WPrJ8bvucaaV5GM1a4kALBm3w8qmw50AzCxzJoKaRODldsTOl0d9u59mj5HxmlvhYm+zN7Ed0fSSfC5eeOLqzCVTCnltZzNd/jAPvn2YyYUOTp9RzJq9rei6wnTcr1XGlKHxmLf0FOy31MITN7HivW/zU0sN+Wte5/wOjXZtcWKKs/d5vZ8PN/CKZ7zACLZ6A69w4ly7Gz3c9tBGfMEId1yxgI8vH/u0uhBCZKNoFtV4DZbx+sUg31PA6HaNzgWH3wJHkbEvYgrk28yj6lg+mJ1qBh8KvQn178C0M1J67gFtfRwaNsGHfgMWW/qvl8Snzp7BubNLE3tgJuN2WKhr76GywM6SyYW0eoPk28ycMdMIvMpjU41nVJfQ0NlAU3eAnce6OXd2GU3dAfa3GIFXsXPg13r2rFJ+zV7+sb2RN/e18oWaOcyucPLc1mNsb+jmlKmF/Y7v27/LF4xSWloKn3qaDXd9nhta/kp071ruUBHusIPnmd/CKVfBvCvw+csSz+sJRRnucoZ4jRcYWbP4601kvMJRthzp5GCrD02Dtw+0JQKvbUe66AlFOGvW+C6eEEKIdFFKYdKyo4Fq0v+9lFKjb9ee6+reNqYZU7QZYp7VTMtIuqQPwyP6xXw+bxWFT90Ct70B9vTNCOf7jsCbd8C0s2HpJ9J2neFw2i2cOrVoyOMKYr28Ll5YicmksXJ+BZu+d2ki8xOv8ZpT4aLcZee9uk6auoOcNrWQ9+o6Ep3dS/IHDryWTivCYoJfvrIHXcHliydRVeTAbNK4/eGN3HHFAq45bXLi+L6Zq0QQbrbyQNGX+Ez9VVy4aAa7dm6hxrSZW+x7cW+4B9b9npssBRwwX89OfQba3jCccc2w3pdHOvxMKnDQ2B1IrIyE/qsau/1G9mtyYR5d/t4s249f2EFnT5iXvnrhkNcRQohcoCuVFdOMMMxVjZqmLdE07TpN0z4d/5PugWWMtwXa9qZsmhHSUFwPeFQ+z8/9AXQehr/eAtE0rVIL9bBox8/B6oCP/xnM1vRcJ8XiKxsvjU0TaprWb5puToWL6tJ8zptdRmWhg7cPGJsxrKguodhpS9QDJMt4OaxmZheaONYVoKrQwZIpBZS57Nx30wqcNgvf/OtWonpvUbuvzyrCvp83ewL4yOPd+i4Oqiruj17JYwt+B3ccgOsfoskxi59b/8Tf7d9l6os3wf9eBbU/hbW/hi2PgafphLF1B8J0+cMsrDKCcU+wN6hK9AULRugORNA0mFKUR1dP7zEHW339NhfPdS2eIJvrOzM9DCFEBukqO+q7YHid678P1ACLgBeAK4G1wF+GeJ4DWAPYY9d5Uin1fU3TZgKPAqXARuBTSqns+Ve+PrX1XWBsodPuC6GUSlmaU1eKhoJlcNV/w/P/Ci/8qzENmGovfB2nrw4++SQUTkn9+dOkxGkj32bmnNkDT5cV5duo/bqR1K1029mijAB5wSR3IstlNmmJZqwDWVBiZneHzmWLKhM/15r5FbR4gnz9ya0cavMxu9wo/PcFo2iaUSrXd9o5vl9k34xoR0/IyGAu/BC/3zqV0JYnsBDl9gumMXfrL6BuXZ9RaMb+na4KWHEzLPk49e1GELWgqoBVu1uOy3jFGqiGjYyX226hKN/K4bae2DgjNHUHsZq1lL5fM+mu1ft54t16tv7gxA3dR2vbkS7+WLuP3/3zMizm1G6NJYRIPV2prKjvguFlvD4OXAw0KqU+A5wGFA7+FACCwEVKqdMwNta+QtO0s4GfAb9SSs0BOoDMNIRK5vA6sDhg8tKUnXJOpRtvMMKxrsDQBw+TIrYs9ozPwfn/Dzb+L2x/OmXnB2DdH2HzQ9RN/zjMuSS1506zL66cw19uPnNYxejxFZLLphdhMZsSm3wX59sGDTxOKzdj0uDqPlOKQGL7ovePdiUe8wUjieavvsRKRUVzd/8paJfdQrsvRFRXRKI63pDOs/p5PKVfyMHpH0f/t/18uPQ5zuYvdN20Cmq+BbNWGhnPZ78M/z2b4hdvZ7F2iCVVBUD/QC/RxytoBF4FeVaK8q2Jqcb4StBwVKWt5cSBFm+ihm48tHiCdAci/fqjjdWavS28+H7jyDZaF0JkjMqljBcQUErpmqZFNE0rAJqBaUM9SRnNg+L/ulpjf+JF+TfGHn8A+AFw5wjHnT6H1hibP1sGXzU3EvNi7Q72NHmYHOsLNRZKKZTqUyS48jtwcA38/atQMAWmnTnma7DnZXj527Dgag5W/jMzxn7GcTWtJL/fNkKDia+QXD6jBIASp7Xfx2RmFZnZ9L1LE4Fa3JwKFzaLiR0N3Yn2E95ghAq3nRZPMBF4eYMR/OEolQV2mrqDmDSYXeGioyfEt57aSrMnSCSqKM630tETpicU5bn3G9lytBuw8PPNVn58baylnlLG3qLbn6bsvUd53v48+vM/5W+2MpwbT4XyLxKsWk4oouOwmgiEddp8IQocVgrzrHT6jaTzodbeovwOXwiXfTj/RIzMvz+znWAkyhO3jU8vuM5YUNnuC6Xk7x9AZ6zX2vFbMgkhMiMc1bEOkn3WdZUVPbxgkIyXpml/0DTtfGCDpmlFwJ8wpgY3AeuSPe+4c5g1TduMEay9AuwHOpVS8X+tjgDZM3/VdcTYAHrupSk97bzYnoV7mlKzt2K8H2YieDdb4aN/ApsT7rsUXvg6RMYwexv0GEFc5WLjvNrwWhjkqopYxmtFrAlrvK6rOElhfV/HB10AVrOJ+ZVutjf0NmTtCUUTBf3e2ArHeMPUeIuLcredcpeddl+Y9Qfb2VLfGQvYjPF5AmH+++VdLKwq4KZzZvDIhrrezJGmwcwL4Opf8uN5j/NT0y3op1xHt3IyvfFVuO9STPddytWmdUx2GwFlY1eAwjwj8AqEdYKRaCLjBf0buaZSuy+UmNocD12x19Gewrq1jlhNXHcgPMSRQoh0a/EEWfL9lxO1ugPJlRqvPcB/A5MBH/AIcClQoJTaOpyTK6WiwNJY4PY0MOz+DJqm3QrcClBZWUltbe1wnzoqXq+XPc/9lnnAhq5SelJ8vQKbxpot+5in14/5XPE9pw4fOkRtbUPicfOpv6D60MNM23APnbvXsmPRHYTsxclOk9TsffcyzdPApjlfpfutDXi93rTf/0zKDymunWMldOR9ahs0WuqN/0yjPV2Dvu7B7kuxFmTj4QirVq1C0zQ6vD1E843/+N/ftZfayGF2thkBWEHY2D4onzDB7jbqWiP0hI30MNEuJruMfyzWbN5NfXuEmxZFOdXWjK7gvufXcVl1/8zcukN+sF/MWS4Hn4tcxIcnR7jdvZZJ9X/n97bf0d7zF5Rdp7mzhNWhy6jYaeN7lgM033UXrp45fMHsJYiNraua6ZgyDWUaedZrsHvT0tlDi1/xyuursI7Dr6DHYitUa9e9S2tZan6J2FdnlA28uWETvkPDvz8T/e/SaMl9SU7uzcD63pf9nVGCEZ3n124iUDfwTEX9kSDRaCQr7uVg7SR+A/xG07QZwA3An4E84BFN0/xKqb3DvYhSqlPTtFXAOUCRpmmWWNZrKnA0yXPuAe4BWLFihaqpqRnu5UaltraWeZ37oXgmZ171yZR3WVuy9208wQg1NeeP+VzhqA4vv8ismTOpqZl73HevhG1PUvTMlzj3/W/DpT+EBR8E2xDTbpEgtO2DjQ/Akb/Dips5/erPA8a9Sff9z7Sr+3we3N7I/ds3Mq96CjU1pyR9zmD3pd5xmDV/e5/C2Us5bWoRoVdfYuGs6bzdeIiKydOoqVlI1+aj8M5mrrtoOY/tXsecqeXMKnfyxtEDifN0BBUrF01me9vRWBDdQs1Zp7FyfgW/3vY6HZZCamqW97v21998lZp55axceRoFb/wDZ9UM5n7kw2yt+ya/vesPfKF0E7s7YIVpD7f5/wR+CJitWHxF3ORfYxQFAOx/CA6YwF0FJbNg6hlGAX/RkJUGJ9ybVbuaeWNvK//+oUVE33gFCDH31DOpLnMOea6xCtS+DESYNmcBNUtTk2D//c63gA6q5y6kZtnwz3ky/F0aDbkvycm9GVi/+7K7Gd5+h/Ip1QP8n2hY1fU+tpaGrLiXQxbXK6UOK6V+ppRaBvwz8BFg11DP0zStPJbpQtO0PIxs2U5gFUbBPsBNwDOjHHtKmSN+o05q/pVpaW07r9LN3mZvYr+osUhs9pksW3DKx+FzrxjB1lOfg9+dDgffGPjYaAS2PQm/XQZ3ngsb7oazvwhX/veYx5mr4vs6JuvhNRxLY73GPvrHt/h/j20mGNFx2i247JZEsXu8sH5OhZtSp43pJfkDXrMgz4rNYuJAqzGtOCk2NXpGdQkbDrb324vRG4zQ4gkmAhqXo/d6npDiVX05L8z/L74VuYXLQj/jrsUPs/5Dr3FK8D42X7eeq0x38eXq5zg/+BveWPQDuODfYOaFEPLBW7+FP54Db/4WPI0juh+PvVPPQ28fRimVGM/RTv8Qzxq7qK4SCwo6UjrVaJxLphqFyLzE3/FByiNyZaoRAE3TLBgtJG7AWN1Yi1EQP5Qq4AFN08wYAd7jSqnnNE3bATyqadqPgPeA+0Y39NQq6N4F0RDMuTgt559b6aInFOVop3/YRd/J6MPZ+mDSKfDFd+Dganjh3+CBD0H1+VA0HQJdUFwN/g7Y/zp4jsGkU+GS/zA2dq5cPKbx5bp4bVeyHl7DccrUQp647Rx++Y89rNrdDBjtKpx2c6K4vtkTwG4xUeCw8Njnz6HcZeflHUZAYzZpiT5gbocFp83MkQ4jUKkqNAKvM6tLeGrTUQ60Gm0r1h9oIx6CVZfGAi+7NVEAHm8lMSn2fIWJUMk8HBXlhGniSGeAHT0FfHBGFc/t7uad4nO54KJ5vS+q47CxcvKV78GrP4CLvmusqB3GP2Y7jnUTiup0ByKEIjoARzvSH3h192kMm8oar854jZdfAi+R/QLhKG2+EFNStLgk28RXZQ/2y5Wusqe4frC9Gi/FyHBdBWzA6L11q1LKl+w5fcXqwJYN8PgBIAXL7lKrsGsnaCaYmp6hLZhkFNhvqusYc+CVKK5niHeRyQSzV8Ktq2Hd7412E237wVEAe1+BvGKYcjqc9nNjOtI0sYvoh2taSR6XL67kvDlj2zLnjOoSLlpQwbpYwafLbsFps9DQGeBjd75FY1eAigJ7v42+4xmvuRUujnUF6PKHcdot5NssdPSEsVtMFOYZc4FnzjRWYb6+s5n/W1/HfWsPUpxvfK+6zHiPue0WvMF4IbgRgMUXEwCJ4nog0WR0drmLAoc1sXIvoXgG3PQsNO+C1T+D1/4D1t8FpXPhjJuhaim4J4HNyYM7gryv7+VLF83FEwgndgI41tUbbB0ZY8Zrb5OH/33rEN+8cgFux8B1HZ19A68ULRZQSiXOK6saT07N3QGu/t1aHvzsWcyflL5dQ1LlvrUHuXv1frZ8/7Ix9eZTSvHM5gauOqUKmyV7+tfFfwHq6En+i5CusmO7IBg84/Ut4P+Af1VKdYzTeDKmoHsXVCw2gpI0WDqtmOkl+dz/5iGuOW3y2N78sbzGsKN3uwtqvmn8SZxEZcduoVnIbjFz96dWpORciyf3vp/iU40bDrUnHjt/Tlm/4+NZtnmVbqxmE9uOdsUCLyMonlToSLx3ZpY5KXPZ+fELOwE4fXoRm+qM4CmR8XJYaPYYheDxIGFSn8CrIM9ooAq9gdfMMiclTlvyDFHFAmMXgzkXG33v2yXb8AAAIABJREFU6tbBkzfHXmQ53dc/TW19BJ+llS9dNJddjb2reRv6BFsNYwy8Xt3ZzMPr69jX7OWB43q2tXqDPP5uPWfN7A2e+24+PhbdgUgiGylTjSenA60+mj1Bdjd5RhR4RXXFT17YyU3nVo/5F/CRONzmi/Wy08mzjf4X7O0N3Xz1sc247BYuWVSZwhGOTW/glfyXK5ULGS+l1MTdBPt40QgF3bvh9E+m7RJmk8YtF8zke89s551DHYlsxWjox7eTGA0JusbF4sm9vYaddjPOWF+sKUV5PHLL2dit/X9rjNeXzZ/kJqorth3twm23kB97XmWfoEnTNH5/4zJ2N3qYU+HinFml3Hjv2xzt9Ceu47JbONDSf6ox3tYCjD0t49miHbH2FzNK8ynKtyam0wakabDsk8YfPQoHVhl1X6/9ENtD1/C4tRR7sw3+fib73b07jDV09jYRHutUY0dPCJMG6w+2c/fqA3zlkt6i2ue3HuPnL+3mjivmA2CzmFI21dg3E9jtl4zXySj+S4x3hBnPIx093Lv2IJOL8rj5/JnpGNqAWr2xvnPB8JgCr3h9Zrb9wtE1jMArqufYXo0TXvN2LNEATDsrrZf5+PJpFOdbefDtw2M6T7yYOlveRCK5wnwrU4uNugqnzZJoSHrpokqml+b3C6QAppfk8/kLZ/HhpZMTvxE77UaNF/TPVgGcPauUm86t5rw5ZZhMGvf/y5k82acxad/i+m5/hHybObGPJRhTjWaThtthIRTVmVKUh8NqpjjfNvw+XiazsbPBsk/Cp5/hkGkaAWUjogOb/48r3ryeG8yvc45pO/kHXsZND6VO25iL69t9IaoK81gxo5iXt/cv9m/qNgK8LfXxDGB+yvqS9Q1Is+0/IJEea/a0cMkvV+OP7eYQ/yXGM8KffzxgS2W94XC0eo2FPCMNFI/nj+3+kK5dLUbqO09v4429LYm/h52DZLVzqrj+pFC/wfiY5sArz2ZmRXUJexrH1ki1N+OVHW8iMbglkws50mFkoZx2I4C6ZOHAaXqzSeNbVy0EjCAMjExZ36nGweTZzP1+o3XbLYl/7Bu7/UwqcCSyYWCsmAQoyjeK8OO1YcX5NnaP4H3a4QvhdlgIFM7lGu+3CEV0yuw23r25HP+9N/BT673GgXvgMruDRtN0nL5W1J1VaPOuhPO/yo42xbxK17D3Pmz3hSh2Wrl0USU/eXEXRzv9ieLheHPaLfXGtk2zylxsrEtNxUQ8gHPZLYm6ufHyyo4mylw2lk0feX++4drf4uWl9xv5Qs3sxL8xkag+4fak/MmLO2n1hPjFdacNeey2o13sa/ZyqM3HwqqC3oxXcGQ///jzxnsT+tbY1lYjHe/xArGAyzfK87x9oA1fMMLFSf79G4lgRPHw+joUvRkvT9BYvDNQ/ZlSClOWvIWzZBgZ1nGIoK3UWPGXZjNK8qlr7+nXAmCk4s+VsCs3xOu8nHYLU4ryKXfbhzXVvHxGMeVuO7PKXOTbTpxqHA6X3UIwovP/s3ff4XGVV+LHv3d604zKqFqSLfcKbhhjMBgIHQIkwKYRsgkhyaYvaZvkl8ZmU0iyG0pISCMJSQgJLRC6wcEYsMHGvcpNtqzeRiNNn/v74869GkmjZixpJpzP8/ixNBpp7ry6mnvmvOc9bzSepL4jxJQCJ3aLyZhp9qamGfUCe702rMBlHfW78nAswXm3v8ifN9WxrzFANJ6kwqPQHY6jlp/O+bGfcFvNH3hf9Kt8u+AHPJM8A5PDy4bkQqJ2P6z/EfE7lvPDu+/kzy/vpq3pOD968DlCDXu0didDaO+JUuCyGbUma/c0GV/T69oaA2EUBab6XXSkNqofyl0vHOAnz+4b8fnqGa/qQhfdE7iqMZ5I8p9/2cqPRnGMb8UDm+q4/Zl9xmrc2uYg877x9JgC8Vyw+UgHW4+NLhjXa4j0RSJ9Ga/B52cskeTXLx+mK8NUvf597T2ndo/PeCI55Lmtqqox1Zgp49XcHeYf2xtG9TjhuBZ49Z5k4HXXC7V854ndJ/W9A3VEtOfb1BXuN+Wvb382kLaqMTuumhJ4AVzyXTaeec+E1D1VF7kIxRK0vIXNdY0+XtlxDokRvGtZJR9dXUN1oYtPrJnB858/b1QrguaU5fH6195Bmc9hZMoGTjWOxJOaVuyJxDneEaKywImiKLhTgZwecOn/16T6fxW4bYRiCYKROPFEMuPP/tbfd/Hrlw9zuFUr3D3Y0mO8wJe7TUTiSYKROOGYSt6UubySXMizodncGvsEr5/7W74Q+zg7LrgPbl5LUPFwn/WH3Pji2RTds4Av7L4O5y9Wwq8uhJ7M24B09EYpdNuYUexherGb53b3BV76VCNowWWxx048qdI9xAXj1YNt/OjZ/fx924mMXx/4uKDVwo1XxktV1UGbem873kV3JM6ehu639MZtJPubtH5xd6ytRVVVDjR1E0uo7G7oGuE7c0t7T5SeSN8YbzvWyVcf2ZFxbPWprGNG4DV0xuu3Gw5z2xO7jdYw6cZrqvH8H6/jd68cyfi1QDhONPU3nOl8vf+1Oj75py2j6nMXimo/Jxg5uanG1mCE+o7QkK8pY9Ee1n5PjQFt9bf+mpqpNvVEZ4i41Hhln6T51G2KPRx9+uho+8nvVdfXxys7TiIxvCn5Tr52xXzMJgWbxYTPNfzm25noGa8y39jOU71Yv669l7aeKJUF2vnntJmxmhUcqeL+fKd2PyPwSrW1OOt7a/n245nfoT62tZ5H36w39ots74kaF5Rip3Zu6nVcJXkObBaTERDNL/cZx0Xlcr5dfjdfj/0734u/nx9bPsoXY7ewbeFXoGUv3LUc7lwOr/+q3+PrGS+As6YXsaO+LzDQpxpBm0bV75fp4hKNJ/nyQ9ouaHrgOJyO3hiKApUFTgLhGPWdId5Mm8Y80NTNx/+weVDgBHCsO8llP10/uFXHAH95/RhnfW8tvdG+C+X6Ay3G825+C2/cRlLbHCTPbmHrsU5ePdRGS6o+KH1hxL+Ctp5ovymzF/ZqbVkyBUV6RsXIeOlNiQfUeDUFwvz0eW1Tl+bA4PHSA7VTOdUYSyQ51h7qt3p446E2XjnYCvTVd6U/frrjqeekN2gejl7jlX5ejkV7T5R4Uj2pcymZVHlo83Eiqaxbe1gL3ppSgZd+bR34+2sOhDnv9hd5YntD1qwpk8Brgk1NTeW8lU2C9fdjkvF6+9BrvMY61TirRFvqvnavNm3UV+hvxue0GsG7Xus1zd831QjaO/S/bT4+6AU7GInT0RtjX1O3UbPY1hMxXvRKXNpLi75y0eu04HVYiSdVFEVrKKwoGNPu6w8HeaXwGn4Rv4I7g+fz18QaNvivhxsf1dpWOAvgH7fC3z8Dve3EEkm6w3EjsCzJc9DZGyOWSBKOJegKxYwxy3daKfRo98t0Ud3TEKCuvZe5ZXmpDN3w7+Y7e6N4HVbyXTai8ST//cRubvrNJmNXimd2NfL0rkZqmwdfyA50JNjTEOi3gXomW4910tEbY/PRvoBu/YFWnKmWGbsbhv/+kxWMxKnvDPGhs6cB8PrhDqM+aKztPzp7o1x553pePTj0xsXjoTUYYfvxzmHvE0sk6QrF6InGjQyXHoRlCr71jFfdCBmv32w4TDSRxGE19Qv+dX1TjUMHXl2hWMagras3ZrQxSdeTIZj7/tN7+eZju7TnkxakBzMsBtD76R1sGblFp/63cTK1YqqqGtniI219j5VIqnzn8d3sbxp+Kvvl2lZu/es2nt+tvZbpGa/WYJRAOMa0Ii3wGvimZldDgFgiuxakSeA1wabkOzEpUNc2qj60GUnG6+1nZomHcp9jzIHXzBIPFpPC86lpOL343GmzGPVdAKVeO3aLiapURmxFTSE3rpzKXe9bQiiW4Mkd/WtAjndoF6BoPMlze7QXwrZglLZgFLfNTJ5NOzf1i7XPacXrTLW4sFlwWM2Uex3UtfVysCVIazDCzedMx++xYzFpmbimrjAvRWbywa5bSHzoKTj7s/DmH+Cni0k8+CEuN71GoVN7CStKBVZtwaixFdOyqVoBer7LRrGph6tNL5O36afw8v/B9gfhlbvgzT9Sf2ArANdXB3inaQM92x+HeN+Ld3c41m+rr87eGAUuK97UNO6rh9oIhONGFvtQ6gKmj1G6rlRdyrERMt76hWnjIa3nW1coxtZjnVy/vBLQgsXxoAeLC6f48HtsNAbCtKQCkYausWUpXj/Swc76AF96aJuxGnAi/HzdQd7/q43DTsfqAUBShXBMy5z0pLI4mcpAhqrxGlgztbehm9mleVQXuvpNd+v0gK2zNzbkdNv//GMP/37f6/1u643GOeeHL/DL9YcG3d8o2E/LbDUHIhxsCdITifcLJDMFTPqbo8Ot2jmnqiovH2jNOH7677H3JH6fgXDcCIDSZ3w2H+3gNxsO89jWjNs2G15P9T/Ufwcd4b7jU9W+pMbAJqrpi9my5YopqxonmM1ioiLf+ZamGtVT0cdL5JSrF0/h6pPY4NlmMTGzxGNkSPSpRrfN3K/O7MPn1HDx/DLjtiKPnduuWYiqqvzYv5+/bT7ODcv7Nsc+3t6X/dCDgNZglLaeCEUeO05Lalug1JSCz2k1Aj297qwqtdBEz4ismlFEJD6DtmCUZ3Y10hSIsHZPEy/tb6EtFKfkou/Aaf8GG+7AXPsCP7M9Rmj9X6H5Qi5o6+RP1kN4/nI3Af/pXGtSudqWx3XWl1nW1MSUPx/lp7Y47ET7l+Zy4FV7EeXb28AGPH43vDITln6QSNlyVv0+yHeuWcC1S7Sgp6M3is9lM7KEek3JjvouavxuDqYuYMfaB2eIAlHtj7dupMCrVfv6xsPa2Gyp6yCRVLl0YRlr9zSzp2F8Ct31rMPs0jxKvQ4au0LGasaxZry2H+9EUbRx+Nm6Wm69WOup1t4T5VBLkOXTTr6X4XBaghG6w3EtQB5i26/0jFMwEsdpMxt1S/rUXEdPlC89tJ3vv2uRsWrueHuIZFLt24ZrQCBzqDXI4qoCOnszTwen37+jN0Zx3uDSgfrO0KDAfGtdJ93hOI9sqefmc2p4amcjFy8oxW4xGwGj/pxUVaWlO0JS1TKj6VONA483nkjSmAoQD6VKBp7f08xHf/8Gf/romaya0b/Bs57xOplVjeljnp54WLu3KfX4wycj9MBLf0PTHu4fGE4tyjzVqNcsQl9wOdkk4zUJpha5RnzhHU5fcb1EXmJk+nZVVrNiNE/98Dk1fHR1XwNHr8PK/IrBuzYoisK7l05h0+F26jtDhGMJAuGY8eKXfgp29GoZr0K3Db1VWH2/jFcq8Eq1s9D/Dl491Ea5z8HUIhf/fnYNX7hkjnbRD4Q5nJqS17NYlC6Ad/2C1699mY9FP0+oaCHse5Kijq1YlTjJcICyHb/gf233sObgDznTtIdeewnKqs/w/DkPMCd8H/et/if8x0b40mH41Bv82vsfHLfPoH75l7kwcjvbz/kZmKzw3Dew/+FyPhR/kP2NfRkmPeOV3g8NYGd9F6qqGhewYTNeac1jn97Z2O9CFoomaAxo+3huO9ZFKJowmtsunOJjXnkee8cp43WgqRubxUR1oYsyr4PGQMTIAI0147X9eBdzSvM4s6aQlw60Grf/7pUjvO9XG/tlEU8lPRA+0TV0oNielgXSx77XmGrUnu+Wug6e293E5qMdBMJxbGYT0USSpu5wxlWN4ViC4x0hZhS7KclzZJwuTL//UH3lOkPRVHaoLyOm73axr6mb257Yzaf//Cbr9mk1f0Ej46X9vK5QzCim33G8i5buCCZF+xsMhuP83/P7+eojOwCtMF2fvtQDnxdSgdDxDG8c+vp4ZQ68dp3o4kfP7OPpnYMXFqRn5I6kldqsTWXM9VrRTKLxpLGzhr5nbUdYpSKtvU5JngOH1WRMNTZ0aa9XB5q7jaAsPk7n3FhJ4DUJqgvd1L2FGq+ktJMQYzCvXAuoKvKdmFKFgZcvKufK0ypG9f1XpO731I4GPvvAm9zw81c53hHCbjExt0z72bNLPSSSWtBR5LbhtKSK61PBh5bx0gIVvY9YdaGL5u4IG2rbOGt6Ub+p81KvduE6knqH2tId4VfrD/Glv20DoCOU5JnkGbRc+Vv48mEa/30T10e/xbNnP8Afzl3HeZGf0PXxrdw2+yGOXvo7eMc3ufDCS1kxq4JfbGpDLZ7DD15qZm2Ll58G1vDIvJ+QXPU5DqpT2Os7Fz75GnzpMB2z3s2t1r/xhY3nwJ3L4JGPU9RzgPxUBq+QAHailLotdBzeRlvTcdzhJs4y7WJ63d9gwx2w9jZ4/LOw+T5tg3r6Ml7H2nv5+P2befjNvmkW/WtXLConmkjyZl0HexoCVBY48TqszC3zcqi1Z1ym7w40B5lR7MFsUijzOWgKhI1ApCsUG3VRtaqqbD/eyemV+fjz7P2K0LtCMaLx5JD7XMYSSf73uf0cPclyDOPCO0wBd3o9lB5E6NNweqCpP+/m7giBUIy55dobmLq23kGd61VV5UhbD6oK04s9lHjtNHdHBgWX6TVWbUMs5NADx/SFIG8c6TCCjN+9etQ4rvTj7o7EicQT/TJtO+u7aA1GKHTbtcArEuel/S08vu0Eqqoa04zzy70cbeslnkgaAV1jhsDRKK7PsKqxtrmbq+/awF0v1nLnCwcGfV0f83KfVmLw2w2H+clz+6ltDpLvsnKktXfI6dddJ7oIx5K4bGaOGRmvJIur8437+JxWCl022lNNVK+751W++sgODjQFuWBuScafO1lkqnESVBe6aOuJEozEjXf/Y9FXXC+hlxjZ3FTgpRfWj1WN3828ci/3vXLEeLdpt5qpLHAyv9zLnoYAZ0wrZH9TkBNdYc6e6SdVzmWsXspz9GW88tKmGkG7EK+c0X9D8lKvnaa0C0hLd4S1e5rZfLSD7167yNjwusCt/Uy/R8vktQYjtIesNJor8JZO4+7392X1FEXhqtMr+NLftvOPHQ3cs+4gPqeVQDjOvHKvUSfWqvdYchWyZ8UPeGBXORf5W7mqOAh7n+TXkQc4cnwZZc852OJ4mahqIanacbT0wM/hNf1NeBvwHCQxEcSJd/N9/Akrj1rOJthaBP94BGtHN+8xe4jVJyFZCSazUd913bJK/r7tBOtrW9nTEDAC6GVTC0gkVd442s7qWcXD/u4au8Jc+7MN3PHeJSys8PHUzgauWTzFCMAHOtgSZEmVVhtX5nXQ3hMlGDZRnGenpTvCic6wsaH7cI53hOjojbGo0sfuhkC/Pkt6hqkrFMu4wveOtQe484VazCaFz1w4a9DXR6JvYN4wXMYrPfCK9M/i6Ks49QDsWHsv8aTKggof2493UdfeF3iFYgn+ub+FWx/cyqcv0I51ut9NezBCPKnS3hs1zk3QMl5FbhttaSuAB9L7f7UGo5R4HSSSKlvqOrh+WSW7TgR4I7XgIlNT1PaevhpHn9PKjvoupha58HtsmBSFYDhOc7c2FdvQFTYy0qtn+9ndEODFfS1GZjNThnO44vqndzYST6qcN7uYXScGtx7Rn++S6nye3tnYb7X0jSuncucLtRzvCBkLfNK9cUR7zpcsKOPJHQ2EogmCMZhX5uX5Pc1E48nUvrM2Onu1fn0NXSEeebMeVdWmzj923nTGsQvLmEjgNQn0tOfRtp5+e/mNlv4uSuIuMRrzUlONlfknvynvFYvK+NGz+zEpWkHytmOdrJlTzLKpBTy+/QQrpxfxx411ABR6+jJeTd1h8uwWzCalr8YrLeOlO2t6/8CrzOfot4KruVu7SEQTSWqbg0Y2QG8T4bZbcFrNtHZHaAlGKPU6Mi4+OX+O9s73G6kVX3rtzryyPFw2bTPy9ExEVzjO35OrqDV7ueo9q1F72/nN9z7NlepB7L2d/DR+LTVeE/P8Fu6pLeDSWS5equ2goHo+T9a7mDOtmlfrgnSEk3z/bBPmTb/gneZXcSSjqDt8FCSSfN8agB2/gtoCmHsF7fbrAW2fzzOmFfLUjgbq2nuNzOOZ0wuxmU28tL9lxMDriW3HaegK8+SOBnbVd/Gtx3eT77JywdzBncP12iB9d4TS1P/RRJLTK308v6eZE52hUQVe249rF97TK/M53hEiEIqhqiqKotCbunh3ZWg+u6Wug7tfrAWGD5zS3bPuIB67mRvPmgb0ZYyGmxrtl/FKBRE9Ro1XtN//+hTYvPI8TIq28CEYiZPn0HaFePlAC63BKPesOwjA9GK3UaPVHIgMCrymFrlSgdfgGrBYImnUYemBSl13kt5oguXTCrl6yRRqm4J876k9tKW+P32aui0YNZoHr5lTzOPbTpBUVSrynURSWUY9I7a3MWBkvM6Z6ecX/zxkjH1Jnj3j4oDhiuuf39PM6ZU+llTn88/9LYM6yBuBV1UBT+5opMbv5ofXnUZLt/b3eucLtRxqDWYMvHbUdzEl38nS6nweebOenanArjzfSanXzrH2ED6nlQK3lY7eKD3RBOnJxtmlHt67ItUgPZnULp6TeAGVwGsS6Becurbekwq8+orrJfISIyvOs3PV6RVGh/eTcfmicn707H7ef+ZUHt9+gs7eGJUFTv7tjCrOm1NsrPoCKHLbsKdel1WVQZmuvhov7QW2ssBpZL90JXn9V282BSLGhXj3iQDtqS2KrGnb2PjzbLQGIzQFwpR6M/c7K86zc3pVPtuOdbJ6lp9oPMnGw+3MSQWnfo+9XzGyHhzoF6tes5fvxt5HcsVcPrByKv/7zWf44JypzD9rKg//5CWeOWwmrqh8cf4cDh7eQ93BIO85o5pndzfyYmc+z8Ru4f7KL7LteBdPf2I1T21v4NEXX+aGskY+WXUUdj7C9fG/UOJYiu+f67ktcYTmwFFMVpWpR6fB70O4upt42dHBsTfLoNkD8TDYPRDqBFchVCyBeAQOPMu/t9Zyoa2Yl3ZdxLaiyzGT4NE3T2QMvHqjCcKxJEWpgvTytPqZ0yrzeX5P86iDoS11HdjMJuaU5bG+toVoIkkknsRhNRsX70yB17p9LSRVmFHsHtTrSVXVVMDTlyWLJ5Lc/WItNouJ966oRlEUo/XDcIFXR8/glX49A6Ya9cyXvtKzyG2n3Oc0FjZU+JzsC3cbxduNgTAVPgcum4WS1Orjpu4w8/Hy2qE2qgtdBCNx5pbnsaWuM2Mvr/S/Iz2wOtipTb8tm1pARb6TpdUF3Lv+kPEGIb2ZaVtaj7frl1Xx+LYTHGzp4bTKfAKhGHsbu4nGtZ+3t7Gb4x0h/B47Cyp8mBStjcmKaYV4HBYaM2a8+laA6oG0Pmbbjnfy+XfMNupImwLhfn/X+orn5dMKsJoVvnvNQs5ILbDQp4cPNvdwwVxt94QSr904T4+29VDjdxuLgzYdbk/9DhyUeR0caw/hdVrxOa00duk1eFrD1KQKs+ydsOEPcPBFqN8MN6+F4tmDnt9EkcBrEhgZr5MssFfRe5KcskMS/8IUReHO9y55Sz9jerGHB25ZyWmVPpq7wzyzq4nKAhdmk8KUfCfWtJOxyG3H1K3gtpnpiSaMrvh6AKbXeBW4rBS6baye5R/0eOl7Uha5bew60WUsRd+VCrwKB6xY04KmKLXNQdbMGbqm44I5JWw71sm7lk5hWXUhbx7rMC7mRR5b/4xXqG+Ll0Taajav04rLZuazF87i0oVlzCzJ41Pnz+SuF2uZW5ZnXHBiCW3qpbY5aFwsllQXsO14F8faQ9R3hTmqlvFQbAYfvPxL3Gf+IDU772Bpcgds2clUp59OxU4SBX9wH7gLoWgGXUoMS+MBonE7NnseRLrB7YfACVj/YzDbiJQt5bfxK1hsreOm8P1Qfz8/siu07/WS+FkV5uLZcObHoVrbo1Z/3kWpDE36LgkLKrwoyuiaqCaTKv/Y3sDqWX5sFpOR6QyEYjis5n5TjQMFQjHy7BZmFHsGrUB7dGs9X39kJxu/9g4jeN9R36UFThF47VA7C6d4jTemw63CbO+J4rSaCcUSRt1az4Dien0qT6+58zotVBe6jIUO5fkOrY9dWv+p6cVaNlAP/JsDYVRV5ebfvcFVp1cQCMcocNnwOTNvyZXeCkH/ekdYxWJS+v0+St0mWlOZrfSWFm3BCM2BCG6bmXNm+Xn4P87mB0/tZc2cYl7Y29xvwcG+xm7aglGmFDgpdNt4+D/OxmE1Maskj28/spmCun9CnRWqVxrfo9d4qar2sd7Y+cW9zagqXDivxAhc9cCrLRihtjlIe0+EwtQ+ozu+dQmORBAOrYPACfLzyni/axP+vW9A0Wn87HknlcX5fYFXey+XLyo3yiXWpbazKku12DEpWpuaBeoBrgreT8nPdnDI3kXAUUHUno/351qGm5IFsPDdYOrbz3YySOA1CfIc2gXnZJuoJmVVo5gEK1PTgWdNL0oFXn01Y+nL9gs9NujW2kb0C7xSGS8986UoCg9+bCXFnsG9yfQLl9dhYVaphy11nanvgd0NXVjNpkGBV5Hbzuaj7XT0xjitcuhM8nvPrCIYiXHZwnIcVjPVRa5+PyN9NaIeHCRVLQOhZ1PyHBYUReHzF/W9a/78RbM50anVqOj90GxmE2fNKGLd/mZePaS1hlg2tYD7XjlCXXuvMdXTGAjz3O4mfvxqF3ATNyyv5IfXnY4V+MpP/kljV5jtn7nYeLcVOxHg6jvWc/uS07g+rc2HdrBJMJn4/UuH+P7BPdx+zWl856G/s9R0gMtrTBw5cpg1SpKKQy/Croeh+ixYcC2JXhv5OLVat1AnlUce5SbzFiJYWXBkJ2vtv6doYwgOVqQCvWIomgX+WTwaOp2nmnzMKPZwxrRCGgNhvnaFttm7HnAHwjFKvA7j4j1U4OV1WqnId7KhtrVfVmXz0Q56ogmaAmEs+U5C0QSvpFqROKwm/rGjwTgnLSZlhKnGCNWFLvY1dROMJEgmVXqiCRRFC3gSSdUIwPTXW6/DSnUNQVptAAAgAElEQVShy/g9lvu0x2roCrOgwsuuEwFmFGtZXL1NRHMgQltnJ8FInEMtQWOKstSl4GvdDFvehJpzwVcJapKutH0GI23HoamXZKiT4rwirS6vqx7++X1+33A/YexwzwwuixTgtbiwkGDxazAv2InPsQTqi1ncto8/T9kCPdVYAi38l+0PHFeLaTYVU3IgyA51Bl0Vq6G9gsUNz8O+J6FlP18PtmFLhuA3t0PVmVC1AkrmUxRWMOHhw+anMD38V/AUQM25tLzZxBfdO5j/3M+JdjbwvK2HgsfLYe5qHj5eycO1Sa7MP8K7Ezvh3ttwhDqg43C/38l3AU4Af4W7kjN4rfEMePzP9FStwd3bxRxPIVVqA2W0sftIiGqPi2lFbs6Y4sDU3IZp/Y/4RO33CKgO2qsu4y97Y7y3OEgJATjjm7DgWiisIRtI4DVJqgtdIzZRHEpfA9VTeURCjM6lC8t5elejMU0AYDWb8DmtdIViFLlttKNNKTYRGZTxSl9QMjPVWX+gYo8dk6J10i/JcxjTI8uqC9h9IkBBao/Gft+TZzMyBoumDB14leQ5+NoV8zM/bp7NWLYO/YODlu6IMU2W3nxWZzYp/OTfFvf7vjNqCnDbLUz39x3r7NI8PHYLh1uDRnFzbzTBlroOrGaFP390pZE5Abj1otkc7wj1K4ifV56H3WLK3O3bZKI5EObOFw6wcnoh1yyZwjcem0Ftcjr/deNFfPIHL7CjtIzvfWQGbPkDvHoXPPUlaoCNdgv8oxJ6m3DGQ3xbf5obodY2jw3JOVyWZ0Hx50GwSctYbPsT1wCrKKDxQD7JV83cYS/nktC10LCc6q46rje/hGPjVigrozRkxkQRtNVCpADsfedAVyiGz2mlIt9BTzRBIBw3zp8DTX1bU93/2lEeebOeMq+DuWV5zCrN45ldjbx7qdbrTs+YJZNqxoUE7T1RI/DqicSNurMKn5P6zhAdvdFBHex9Tmu/IH1Kft8bhmVTC/jU+TNZOMUHiTj2I+v4nuMPXLRpB/71x3nZ7ifZYCZphUTt6dzcuxFfTxcc075fRUExW6kpWspPrBbmKXXM21IHW+AeoMFUDn9eCgfXQjLB1qIr2dMW4wM+yKvbz/WWE0RVM8mAn3A8yWfjv4Rf/lL74VY3xHq4AtiozsVJhBWWgzRGHdyoPIrl+MNwR+qJFM2EmtUc7VL4zv5q7rjQQcGBh2DjvZCI8GvgmL2YKqWFWH0VRAPwxm/4pD4QodNQiuewt7WFM+Ih1Ffv4qPJOB+1Aj3QYS4C52LIr4Yl74eKpZA/Fbob+NHLbbxQF+dvlyWZ+thnWRj/C+oON+7N97HBAWzQ/umLV5JxE6YfeLgpEuAmgBfhUPE7uObYe/jBaefwo51bWH3J2RRV9a18zBYSeE2SqUUutqTt7zYWUuMlJlOZz8EDt5w16PYij42uUIxCPfBy6AGX9jIzsIHqcCxmE+U+JzNLPEYBPcBF80t5I9VXSW/IqdOLmC0mxVgBOFZFbjvtPRHjgp0eeDV3R4wlxQN7eA3kc1q5bGEZ7zxdK4ifXtxXMFycZ2dJdT6vHWqnoSvElHztYr/+QCvT/Z5BjUUvW1Q+6OcrijbFO9TU3zf/votIPMn/XLsIq9nERfNLSSRV3HYLfo+djp4Y2Nyw8uPUTnsvsWArx47s5/C6P3BjuR18flj8Pq754zGa2jtZ/6Xz2bg/ydce2ckzF55r1MQBbN2zj0fvv4ubZ3bj723hYGMna2y7sD29HoDFwGIrsFm7/y+BsN2KY1MMNingKeWMpBV6L6MwsIhe52wq8vVsUsgIvPRaq7ZglKNtvXT2xujsjfGRc2pYOMXL49tOGFsszSvPY19TN63BCD6XFbul/9RSe0+UZVMLsVtMWuCVmmac5ndR3xmioVPb/08voAftjUN6zZKe8dI/vmx+MWy6Fzb8FIKNXIuN/aYltM29mv27NqOi4CDK6s7NHHAv4v7eldz6viv45W9/xWnFJt45z4dp1/MsU9ppVQp4sOgT3HDBmfzsoedY6ThKedMOWPAuWPMVXtkS5cfP7ef6Gy7le3/dzvbjnYRjSc6d6ef1Ix1cVlDPl1Z5UxnJ2dB+iIdffpP/fM0JKHzvykX818M7uGVFEV+d36Zl0macD35tZWbD/hbW793EgelnseLCz0MiDh2H+fnPfsTZyTf4aexdfOg9X2NhmZuD217iS3/dyoevOp8rVi3Bqqp84RtP84FZU1kxxc79f/0LpUonrydnc8aS5dx+w+LBJ6x/JsqBfezbc5D6Kau5OmLGQpwHP3YR7XvX89ja9Xz+vCmUlZbzm3/uxZEIssrXybTyIm2KvWgm+Oew8bCL4LFdRssJ/c1etpHAa5JMLXTxxPYGYolkvwLh0VClj5fIQn63nUMtPRS57dQCHrt2sdMvnGU+B4rSv3ZoOL/+0HIKXTYeSfW48jmtXLygjN9uOMIXLpljBDXG46cCr9mleTisJ1fD4ffYSKpac8sij51A2vL/lu4I9tQqrdG8oN/zgWXGx3p2zqxoe0eePdPP95/aC8DSqQXUd4Y42tbLlacNDrKGUp7v6Fez88T2E9gtZmYUu3lqZyOfe8csI3N2R1qNX4HL1q9559f/vpv2nihXL57F7fH3c9N1l0Jq/Fz5EaJhJ5aCKi6aF+brj+7k2V2N/QKvF47B75OX8vl/uxify0rD0XYo8UDvMWjYyomok/f+tYEvvvtcrpzp4H9++n+Ux4/hnbaEd880Qdcxwkd3497yB26Ph9jnWEzFK3aetDVS8aAPqhbS45vBleE68s1Bpr3+JBc3x5nl8lIb8XHRzIU43drz1FdTziv38ujWE7zjJ/9k1Qw/P7+x73eRTKp09GqZWbfdQk80bhTYTy1ys6G2jb2phrnzyr1GbV6ew5JaGKUyT6njjLpNPGp7nBhmio4uhx2btCxezXlwxY/57KsFHO6Kc21ZJT/Yerbx+Hdet4SkqvLgA1sxbbPwQOIKTrP4eOcl5/CQ+2Zue2I388q9eKxmbliwinv+YuPYzGqWvmuR8TP8edoK4rZgqi2Rw4LLpm+ZFSY0ZzHMW9B3svhn0l1iAXbhspm5dskU4kmV65dVGr/rfudWqsbS6OVltoB/Fncn38VD3vdxoDnIDdEEmC2sDU5lsxriZwu1qWVFUVLNd8M81NHLHvcKCmYUcWTrCS7J0Klfp7fO2NvYTS/a4x9ui3BIWcBfEha+cd4lYLfw/gVadvLVl9czbc2afj/D13QC6GtePNIbpMmSnUf1NlBV6CKR1BrYZVo+Oxzp4yWyUaHbhstmxpnanFqfUtQDryn5Ttb+53lMKxrd+a43Z9XrZabkO6nxu3ntqxdmvL8eeA1X3zWSIqMfmBZ4dYVizCjx0Ha4nZbuyKAVmqNVke/EbjHhMmuZtFVpfcuWVefz+DbtgjG7NPPUa8af6XPy0oEW4/Pv/mMPPZE471paiUmhb/n8APkuq1Ffmkyq7KwPEI0naemO4LFb+gWt584uNhY6lHgdLKnK59ndTXz6wlkcbAmyr7Gbf+5vYXFVvtGTa9nUVMbOOQOKZmDtjnBUfZ6OmBXyq7gv9g6i8SRXOMuxFZTR5YhR6TvMmpVL+M0PP88lbMdudlKv+ilQrHgPvoA7+Cdj2jN63M2sRAgzSbACD91NrGoVt1nAdwiSpgUsKF9BCR04IxG6Dx1Ere1CKZgKbj9dMRuJpEqB24bbbqYnHDdaSegbLe9N7e83ryyPTYfbcdnMWKMBZh35I8/a7ma2qR51m0IrM7ATY9rRv2mLFC78Jsy7ChSF2cf28dyBWg40958O9jgsLK0qwGJS+Msb2lyj3rqhqzeKomjHsa+xW2svEcVYKajTV57qgZfbZsFmMVHX3ktPNDFoVTD0/T2W5NlxWM3cuHJqxvMD+lqJNA5YxRqJJSny2DjQrGUgn9rZwKbD7cwodvfbR7bU62B/UzdHWnv5wMqpLKnO57GtJ4zjzkR/Q7YzrQfY4bYejrb14PfYjUU5A7OX6fTXGn27Lgm8RD/6Uvqj7b1jDrz0Gi9Z1SiyyVkzivrVHXrs2ougLy07NL145B5QA+kXEX36aSj+VAPURW8h8NKnBLcf72ROWR6BUIyFU3zk2S39Nk/OVOM1HLNJocbvJtSrrdRbUOHD67AQCMdZUl1g3G/WKHpk6crznTR3R4glknT0Ro1i8vteOcK5s4uH3FC9wNVXx3a0vdfI9uys7zKayOo+ft6Mfp9fsqCM7z21l531XXzpb9uNPUA/946hG53qF79AOE48kTTq9bpCMX674TAnOsN8f5UZHD5+GLuexuVf5MuXzuUTX3+Kj82ezhcvmcuD63fw/X/sJKC4+cBZM3hg4yE+tSKfT52mws6HsR5/g3daDqHG4Z2251H/9ms2OVJb0KjA/X3H4zPb+bN1BtUH57Misod5e/cSCF7AEuUcpvuXYzYpbKpt5BLT63yo+QFWWBupMnfBj+twx0OElZl8JXYz37z1C7z79i2oKrz8uTVUFvZ/HV84xUdS1Vb8lfscxu/H67Dgc1lZUVNoLA5o6dZWzXamatz8Hjuv9LQZBf4lA9qj+FOBWGtPhGA4TkW+gzyHlQ212tZMFfkZAi+HHniNnHHOs1tw28w0dvWd8/FEkmgiabw5+fOmOnbUa0HSh1ZN6/f95T4HG1OZwqsXV1BT7Oa0Sp+xcX0meuC1q147pxxWE4dbeqhr7zU6AYzECLw6erFbTMMGaZNJAq9Jop9I2mahwzdBHCiZ2lVBEl4im9y0aho3pb0A6xfct1pnoWe8Ruq8f3pVPh8+u4bLF45+um6g+eVeivPsrNvfwvXLq1LF3hajc7vDqm0ufjJTmZ+9cBY7d2nL2s0mhZXTi3h2dxPTi90UuKx09MaYNYaM15R8B6qqdafXi+wrfA5OdIWNIvNMCtzaVKOqquys78subK/vYkGG/TrTvWdFNff88yA3/+4NGgNh3nNGFYdbe7hmmA3cHVYzdouJQChmFLGDFng1dIVoDUYJxV1E4lofMa9Da7hb6nUY2/7s7jARsRVQ7rFxqLWHcMKEs6gSamq0VYHAB+/ewI5j7XzA8TLfWRSGkgXs6zJx+7oTfO7ypZQlG/HQw4H9e3DWbaS8+SXiiouXXBdzTstGHrI9T/dr63ksr41pHXvw2MLE2oqIKw5CpnxY+kFY/D6+/NduDjR1872CMjx2C8FInFLf4HNzYWqBR0dvjMsXFdG5t4VQLGG0LrlofimvHGzjzJpCNh5up60nQmdvjHyntuq9KxQzavgGBkt+dyrw6o7QE43jtluYW5bH0xYz7z+zmssz1AXmpTJGxUP0uEunKAoV+U4OtfbtnxhOBczFqcBrd0OAUq+dO96zxNgdQ6dnzGr8WsClKAp//9Q5wz6mvpJ554kuTIq2QOZwaw/1nSHOGrCzxVD0wKu+I5S19V0ggdekKcmzY7OYjC1YxkLv4yXF9SKbuVM1Xm/1BbDM58BqVvoVqGfisJr5xlWZVyuOlqIonDe7mGd3NRJPJI1Vdv5U4OVz9e05OVaXLSrH2bbP+PxDZ0+j1KtlKkq9DnoiCWOqazT04u4TnSG2H9cuVj+/cRl/fK2OSxaUDfl9BS4rsYTWPiF9WicaT1LkHv6i7HNa+fQFs7jtid3U+N389zULsYyiRtXrtBIIx/rtL6kHXQAngkljIYN+8azIdxirPg80dzOzNA8F2J+aBiweMP02rcjFtmOdrHNdCledrz3XQJjnX1jLGYm53PWilYvmlxJynMNOzw2s/+IF/L/fbKIrFCO04js0PPYNburcRbnDy8M9q3kxuZi7v/IFLvvOCyypyOevl68CoLrwDRq7QiiKthuDy2bOWKdb4XMYAXVVgctYRalP+V23rJJgOM5Uv5uNh9tpDkS0jJfLZmRv9YB64HP156WmGnuiBMPa1nMfO28GH109fcjtoPoyXiMHXgCrZxVz/8ajxtZ2+u9Ony5MJFXmlnk5c/rgoKg8lb165+kVo75OFXnsmE0Knb0x/B47M4o9PLylnmgiOeopeP3cicSTJ/13OhFkk+xJoigKxR670R15LIxVjaf4mIQ4lTJNNZ4Mn9PKPz6zmn87o2rkO58Ca+YUEwjH2XCwjURSxefUAqPGQFjrMzXGacahrJrh57ZrFgLaFOe88rxRBTG6vpV/YXbUdzGzxMNplfn84LrThs3I6atEO3qi7D4RYH65F4dVe1y/Z+gaHN0HVlZzyYJSvnHV/FEfr9dhIRCKG1vNeB2Wfu0aTgSTRtd2r7EYw2nUPh1rDzGtyEWR22YUfBd7+gcQevlGftr+j8V5dvJdVn7/6lG6w3Ge2dnIG0c7WJzaj9Jj1xq6diUd/Hf8Rto+8jp89AW+nfwwmyzLcTkc+D32fr/zD6ycyifPn5n6fku/1Y3pFEUxsl7puzPkGf3srHz6wlnGTiZNgTBdvdFUxkt7bntTU7kDgyWXrW+LrPQ9f4cKuvRj1X7W6Ba3XLaojGg8yQt7tWal+j6NRWnjPrcsc0C0qFKbnn/XMJnXgcwmxXiefo+NmSUeookkly8q44NnDV2Pli59V4O8U/R3Oh6yNyR8G/AP6JI9Wqo0UBU5QH+H/VYDLxhb0flbtXpmMSYFHtuqrabUGmc6eXJHA1WFznEp2P3uNYuIJZJj+h69jqe+M8T2452cN3vobv3p9MCkszfGzvouLllQRlLVVpMNrPHKxG4x84sbl4/pWL2pHm96l/hyn5NAuK/ovKFHpSu1kbZ+vhS6+rq7d/RGKXDZsKUFesV5/Y9Vzxamn2+KojC7JI9NR9pRFOiJJuiJJliS6u3ktlnoicSNrvUuuxmvw8qqGUXGljk3rZrGlLRp7tWzio09Mq9bVjlse5QFFT7WH2ilstDF9GI31v0Kblv/++tTbE2pjNc0v9u47bVDWp2U3zM4S+XP04LQSDxpFJ4Pp9ynbWq/omboOqt0y6oLKM6z89SOBt55eoUReOU5LNjMJqKJZL/Vrf2+d2oh27918ZhnZUq8Wi1ccZ6dD6ycyswSD+fNLh71zzGbFPLsFrojcZlqFJkVeTJvRDoSo7he8pUii62ZXcz7z6xmauHJb849GXwuK0urC3h2V5P2udOK2eQmkVTZfSJgZDFOpYJhVnsNxWWzkO+ysvFwO63BKKdXje649Mfa0xCgozfG/Aovnb3aPn4jTTWeLK9D27xYz3jp2+2AVohdH4wZGS89cCpw2wiE44RjCbrDcQpcNuzWtMBrwI4HfRmv/mM5q9TDpiPtXL6onE2p1amLq1OBV6pGS19goAdFP77hdGMrnk+s6b/AIN1Hz50+7PM+a0YRv1p/iNmleSyo8HLOTP+grJTfY0dRtI3gO3q0jNfiqnxKvXb2NXWTZ6XfZtO6Mq/DWH3pGUXg5bSZefKzq0e8n85kUrh0QRl/3XyM5u6wseOA02rGZTcT7R1+CvBkSmHKvHa2oWUzHVbzsFt/DcXrtGqBl0w1ikxONuNldK6XyUaRxaoKXXz32kVjmj7LFmvmFBsXY5/TSk1q5XFH76mbajwVKnxOXtrfgs1sYs0oM176VOMbR7VsyswSj7GyejQZr5Phc1q14no98EpNz3kdFpZOLaChZ3CNl36cR9q0laCFbqtRX2Qzm4zGvDo945U/INOhBweXLSzjmsUVeOwW5qeKwd12M73RBD2ROE6rGXMqKCrJc5zUCtyBzptdzOb/dxFT8p2U5Dk4d/bghVRWs4kit42GzrDWqd9lw2I2cUNqKyifPfPr/OKqfKOp7GgCr5Nx0yptiu+zf95q/D04bWbcNgsmRTt3TiV9ZaN/lHVomejnTzZPNebeK+K/kCKPnbaeiNEQdbT0e8tMoxDjI/2dttdp7dfyJZt6A+nTjZ+5cGa/7WyGU5CaatT3v5zu9xhBy7hlvJxa64yQMdWoHXd1kYtZJR5aelWaU5s+p2e8AA63aIFXvstm1D4V59kHZVQK3TbOrClk+bT+U2mXLSrjI+fU8I55pdx68Rye/txqowbObbeQSKq090ZHNV13MkYz1V6S5zD2gNSDjxuWV6EoQwdeRr80RrcbxMmYWZLHd965kFcPtfG7V44AWpsHt93MNL/7pBsVD6VED7zewhuAvi3KsufvdKDsPbK3Ab/HTiyhEgjFjeaDo2F0rpfIS4hxMb/ci99jozUYxefUMi3ZWDty7uxiIvEkHztv6OmwgdK34HFazZR67Zw908+KaYXMH6GdxMnyOrSMl96oVG/KOrXQzaySPFQwtvvxGhkv7f9DrT2pz21GHVymC7OiKPzlY4O3sirJc/D/ruxb7VpZ0Beg6pmi5kDEWIU7GUq8dnbvC2CzmLhsobYitarQxX+smUGk9VjG70nviTVeQSPA9csruf3ZfWkbkptZNcM/Lm9AjIxXhpq20TICL8l4iUz0F4+xrmzsK64/1UckhACtvkWfFvK5rCiKYmS98sbxIjdWHzxrGn/4yJlj2nbMYjYZ9S81fjeKolBV6OLBj59F4UnUmo2G12klnlRp69Fe6ypSU43VRS6jNu3lA639WjPoU40HW7TptAK31Ti+ge0VTpYrVdPVFAgPKnqfSKWplYZXLirvV+/3xUvmcs6UzAFEcZ7dmAIfr6lGSC1QKPUYe1Y6rWa+9c4Fg/ZKPRX0lZ8jNUseTl/glT1/pwNJ4DWJ/Mb2JGMLvJKyqlGIcfexc2fwmQtmGoGWfpHLpozXydIv7jUj9EY7VfTsg969fZrfhc1iYkGFl8oCF0UOhZ5oot+0nH6Mh1r6Ml6nOvDS9xNtDITHNXgZib6K8f0rM2/zNBQ96zXexz6rpK+IXt8SbDycMa2AP958JmfWFI585yHos0fZ/HeavSHh24AeeI21wD4pm2QLMe7mlOUxp6zvXb2R8crid9Kjle+ycbStlxlj3K7s5B9PuwjqDaPLfU42fPkCI+s/u9DEqyf6B16FLj3wSmW8Up8rChSPshfVSBZO8WGzmOgOxyd1qvH65VUUeewsrR5dqwfdubOL+fvWE6csEB1K+upF5ymu60qnKApnz/S/pZ/RV1yfvX+nkvGaRPoKorFmvIwGqpLxEmLC1Pi1aZBsrh0ZrcJUIDRRGS+9SejexgAOqwmzSelXID+nYPAuB05baquhcBy7xYQztQH7Pe9fygfOHFtmaCiVBS4+nWqG6prEjFdVoYubVk0b82v6VaeV8+p/XTBuU8S6WaV9qxdPdUH9qeaVGi8xnAKXDZMCbWMOvPTi+vE4KiFEJsunFlJZ4ByyaWQu0bNHNf5T2w5gKHq28Fh7yKirSjc7FXgNXAGoBxTpgcWlC8uN1W+nwsfOm8GKmkIWV+afsp85URRF6ddJfrzMTptqtGfoKZZN9O2KRtuhfzJkby7ubcBsUih022gZ41Sj3k5CaryEmDhVhS5e/vIFk30Yp0S+EXhNTMbLY7fg99hpDUYyTlWVuxXKfQ6jzUT6cTZ0hQc1RT2VbBYTD2ZYDSn6+FxWSvLsdIfjWT/TcsHcEp749Dmjbq8yGSTwmmR+j33MGS+jc312n/9CiCz1zsUVeOzmU7Kd02jV+F20BjO3bVAUhYc+sWpQP6pCd//WEmLyzC7NY3dq78hsZjIp47K7xKk0boGXoihVwO+BUrQkzb2qqv5UUZRC4C/ANOAIcIOqqh3jdRzZrshjO+lVjVn+xkMIkaUWV+WzuGpip9amFrl5/UgHziHaNmRqIaBnugrGMeMlRufK08qNhr3irRnPydo4cKuqqvOBlcAnFUWZD3wFWKuq6ixgberzty2/x05bzxinGqWBqhAix+jTmq4xFGfrKxsL3JLxmmzvWVHND687fbIP41/CuAVeqqo2qKq6JfVxN7AHmAJcDfwudbffAdeM1zHkgkK3jfax1njpGa9xOB4hhBgP01KbWLvG0AdKn2KUjJf4VzIhyxMURZkGLAE2AqWqqjakvtSINhX5tpVntxCMxse0X6OKXuMloZcQIjdMTRU7j6Vtg95EdTyL64WYaONeXK8oigd4CPicqqqB9OkxVVVVRVEyRhyKotwC3AJQWlrKunXrxvU4g8HguD9GJo31UVQVnlm7DodldIHUtmZt64Y3t2ym4+D491SZrLHJdjIuQ5OxyeztPC6huPZS39XWPGgMhhqXhhPaa13j0VrWxY+O9yFmpbfzOTOcXB6XcQ28FEWxogVdf1RV9eHUzU2KopSrqtqgKEo50Jzpe1VVvRe4F2D58uXqmjVrxvNQWbduHeP9GJkcdxzlwX07WbrirFH3ponuaoQtm1m+fPmErN6YrLHJdjIuQ5OxyeztPi4rDr7KO04rZ81Z0/rdPtS4KPtbuHf7JlYtO501c0sm5iCzzNv9nBlKLo/LeK5qVIBfA3tUVf1J2pf+DtwEfD/1/2PjdQy5QN9jqzsSZ7QvK3qKUGYahRC5ZKz9ss6sKeTTF8zkrBlF43REQky88cx4nQ3cCOxQFGVr6ravogVcDyqK8hHgKHDDOB5D1tMDr55IfNTfo6pS4yWE+NfnsJq59eI5I99RiBwyboGXqqovM/TCuwvH63FzjTsVeAXHEHhJHy8hhBAiN2X3pktvA30Zr8Sov0dfACkZLyGEECK3SOA1yfTtM8Yy1ahvGSRhlxBCCJFbJPCaZOnF9aPVV1wvoZcQQgiRSyTwmmT6prAnV1w/LockhBBCiHEigdckc1rNmJSTnGqUjJcQQgiRUyTwmmSKouC2WQhG4qzb18yL+zL2k+2nr7h+nA9OCCGEEKfUuG8ZJEbmtlvoicT53+cPYDEpnD9n+FaqRjsJKa8XQgghcopkvLKA224mGInTEggTio7cVkI1phrH+8iEEEIIcSpJ4JUFPA4r3eE4LcEI4dhoAi/tf5PMNQohhBA5RQKvLOCxm6nvDBFLqIRGEXhJHy8hhBAiN0nglRLv5fgAAA/CSURBVAXcNgt1bb0Aowq89D5e0rleCCGEyC0SeGUBj91CPFUxP5oar6TUeAkhhBA5SQKvLKBvlA0QiSdJ6ssWh6DKJtlCCCFETpLAKwvo3et14fjwWa++zvUSeQkhhBC5RAKvLOCx9w+8Rppu7OvjJYQQQohcIoFXFnDbzP0+H6nAXjJeQgghRG6SwCsLuAdkvEbq5ZWUGi8hhBAiJ0nglQX0qUaHVft1hKLJYe+vl97LJtlCCCFEbpHAKwvoxfXVhS5gLFON43tcQgghhDi1JPDKAvpUY3WhGxg58Orr4yWRlxBCCJFLJPDKAvlOKwDTi7XAa6QaL2OvRom7hBBCiJwigVcWmF7s4ecfWMa7lk4BxlBcLw0lhBBCiJwigVeWuHRhGb5U5mukPl4qsmWQEEIIkYsk8MoiTqvWz2vk4nrtf+njJYQQQuQWCbyyiGOUgZe+l6PEXUIIIURukcAri9gtJhQFwiNONWok4yWEEELkFgm8soiiKDit5lG3k5BVjUIIIURukcAry4wu8NL+lz5eQgghRG6RwCvLOKzmEbcMQlWlvksIIYTIQRJ4ZRmnzTyqPl4SdwkhhBC5RwKvLDOaqUYVVQrrhRBCiBwkgVeWcVrNIzZQTaqyolEIIYTIRRJ4ZRmHbZSrGiXuEkIIIXKOBF5Zxmk1jVjjhSqtJIQQQohcJIFXlnFaR1Ncr8oG2UIIIUQOksAryzhHMdWoSsZLCCGEyEkSeGUZhxTXCyGEEP+yxi3wUhTlN4qiNCuKsjPttkJFUZ5TFOVA6v+C8Xr8XKVNNQ7fQFWK64UQQojcNJ4Zr/uASwfc9hVgraqqs4C1qc9FGqfVTDSRJJYYPviSjJcQQgiRe8Yt8FJV9SWgfcDNVwO/S338O+Ca8Xr8XOW0mQG44Mfr+OVLhzLeJylbBgkhhBA5SVFVdfx+uKJMA55QVXVh6vNOVVXzUx8rQIf+eYbvvQW4BaC0tHTZAw88MG7HCRAMBvF4POP6GKPxQl2M3++OArCqwsItp9kH3ef3uyO83hDnzgvdE3JM2TI22UbGZWgyNpnJuGQm4zI0GZvMsn1czj///M2qqi7P9DXLRB+MTlVVVVGUIaM+VVXvBe4FWL58ubpmzZpxPZ5169Yx3o8xGq2bj8PubQA4vIWsWXPGoPs817EDe3vjhB1vtoxNtpFxGZqMTWYyLpnJuAxNxiazXB6XiV7V2KQoSjlA6v/mCX78rFdZ4MRmMVHuc9DZG814n6QKUl0vhBBC5J6JDrz+DtyU+vgm4LEJfvyst3J6Edu/eTFLpxbQGYoNcS9V+ngJIYQQOWg820n8GXgVmKMoynFFUT4CfB+4SFGUA8A7Up+LARxWMz6nla7ezIFXMokU1wshhBA5aNxqvFRVfe8QX7pwvB7zX0m+00pnKIaqqigDoiwVVdpJCCGEEDlIOtdnqXyXlURSJRiJD/qadK4XQgghcpMEXlkq32kDoDPDdGNyHFuACCGEEGL8SOCVpXwuKwBdmQrsVTDJb04IIYTIOXL5zlL5zqEDr6Sqokg7CSGEECLnSOCVpfJdQ081qiDtJIQQQogcJIFXlspPTTV2hgY3UZXieiGEECI3SeCVpXypqcYhi+sl7hJCCCFyjgReWcphNeOwmoYurpeMlxBCCJFzJPDKYvlOW8b9GpOqbBkkhBBC5CIJvLJYvss65FSjrGoUQgghco8EXlnMm9o2aCBVlb0ahRBCiFwkgVcWyx9io+ykyqD9G4UQQgiR/STwymL5LmvGdhIgNV5CCCFELpLAK4vlu2x09MSIJZL9bpc+XkIIIURuksAriy2fWkA0keTlA639bk+qqtR4CSGEEDlIAq8stmZOCQUuKw9tOd7vdlVqvIQQQoicJIFXFrNZTFx1egXP7W4iEO4rstfaSQghhBAi10jgleWuXTKFSDzJc7ua+t0uxfVCCCFE7pHAK8udXpmP12HhjaPtxm1a53qJvIQQQohcI4FXljOZFJZUF7DlaKdxWzIpDVSFEEKIXCSBVw5YWl3A/uZuo85LRZXieiGEECIHSeCVA5ZOzUdVYdsxLeuVVJHieiGEECIHSeCVAxZX5aMo9E03SgNVIYQQIidJ4JUD8hxWZpfksaWuA0gV18tvTgghhMg5cvnOEQsqvOxv6gb0Pl6S8RJCCCFyjQReOWKa301DV5hQNIGKrGoUQgghcpEEXjmixu8G4Ehbj1ZcL5GXEEIIkXMk8MoRRuDV2gOqKp3rhRBCiBwkgVeOmJYKvA6nMl6yqlEIIYTIPRJ45QiP3UJxnp3DLT2ySbYQQgiRoyTwyiE1RW6OtPWgSo2XEEIIkZMk8Moh0/wuDremMl4SdwkhhBA5RwKvHFLj99AajNIdjktxvRBCCJGDJPDKITV+FwD1nSEprhdCCCFykAReOWRmSZ7xscRdQgghRO6RwCuHTCtyYTNrvzIprhdCCCFyjwReOcRiNjG9WOvnJWGXEEIIkXsmJfBSFOVSRVH2KYpSqyjKVybjGHLV7FJtulFqvIQQQojcM+GBl6IoZuBu4DJgPvBeRVHmT/Rx5KrZpR4AQrHEJB+JEEIIIcZqMjJeK4BaVVUPqaoaBR4Arp6E48hJesbrYHNwko9ECCGEEGOlqKo6sQ+oKNcBl6qqenPq8xuBM1VV/dSA+90C3AJQWlq67IEHHhjX4woGg3g8nnF9jFOhqSfJl9eHALjvUveEPGaujM1Ek3EZmoxNZjIumcm4DE3GJrNsH5fzzz9/s6qqyzN9zTLRBzNaqqreC9wLsHz5cnXNmjXj+njr1q1jvB/jVEgkVb68/kmACTveXBmbiSbjMjQZm8xkXDKTcRmajE1muTwukxF41QNVaZ9Xpm4To2A2KXz9innGlKMQQgghcsdkBF6vA7MURalBC7jeA7xvEo4jZ928evpkH4IQQgghTsKEB16qqsYVRfkU8AxgBn6jququiT4OIYQQQoiJNik1XqqqPgk8ORmPLYQQQggxWaRzvRBCCCHEBJHASwghhBBigkjgJYQQQggxQSTwEkIIIYSYIBJ4CSGEEEJMEAm8hBBCCCEmiAReQgghhBATRAIvIYQQQogJIoGXEEIIIcQEkcBLCCGEEGKCSOAlhBBCCDFBFFVVJ/sYRqQoSgtwdJwfxg+0jvNj5CoZm8xkXIYmY5OZjEtmMi5Dk7HJLNvHZaqqqsWZvpATgddEUBTlDVVVl0/2cWQjGZvMZFyGJmOTmYxLZjIuQ5OxySyXx0WmGoUQQgghJogEXkIIIYQQE0QCrz73TvYBZDEZm8xkXIYmY5OZjEtmMi5Dk7HJLGfHRWq8hBBCCCEmiGS8hBBCCCEmyL904KUoym8URWlWFGVn2m3XK4qyS1GUpKIoywfc/78URalVFGWfoiiXpN1+aeq2WkVRvjKRz2E8jGVcFEWZpihKSFGUral/P0/72jJFUXakxuUORVGUiX4up9oQY3O7oih7FUXZrijKI4qi5Kd97e18zmQcFzlnQFGU21LjslVRlGcVRalI3a6knndt6utL077nJkVRDqT+3TQZz+VUGuO4rFEUpSvtnPlG2vf8y/8tpX3tVkVRVEVR/KnP3zbnC4x5bHL3nFFV9V/2H3AusBTYmXbbPGAOsA5Ynnb7fGAbYAdqgIOAOfXvIDAdsKXuM3+yn9sEjsu09PsN+DmbgJWAAjwFXDbZz22cxuZiwJL6+AfAD+ScGXZc5JwBb9rHnwF+nvr48tTzVlLjsDF1eyFwKPV/Qerjgsl+bhM4LmuAJzL8jLfF31Lq9irgGbSelf632/lyEmOTs+fMv3TGS1XVl4D2AbftUVV1X4a7Xw08oKpqRFXVw0AtsCL1r1ZV1UOqqkb5/+3dT2gcZRzG8e9DjIKCWKTSkiqJJXqoIlqRpiCIBy2ojX96KBSKtteePHgwl156UAQPVfEkWKx6EbSKbcxBxEtAWhNjwUqRSg2thyqGoNSU/jy875pJmrFEzUx25vnAwruzQ3jnyW+T3+47swvv53271jJzWZKk9aQ/ouORqv0Q8OT/O9PqlWTzWURcynfHgQ153PaaKctlSS2rmZnC3RuAzsm0w8ChSMaBm3IujwJjEfFLRPwKjAHbVn72K2eZuZRpxXMpexV4gYWZtKZeYNnZlFn1NdPoxmuZ+oCzhfs/5W1l29tkQNLXkr6Q9GDe1kfKoqMtuewhvQIF10xRMRdwzSDpgKSzwC6gswzS+popyQVgSNKkpKOSNuVtrchF0jAwHRGTix5yvZRnA11aM2687GrOAbdFxL3A88C7km6seU61kDQCXAIO1z2X1WSJXFwzQESMRMStpFz21T2f1aIklxOkr1i5BzgIfFjX/Kom6XrgRRY2ocZVs+namnHjNW+atI7csSFvK9veCnkZ7UIeHyetnd9ByqC4tNToXCQ9CzwO7MrLZOCaWTIX18wVDgPP5HHra6bg71wiYiYiZvP4U6A3n0Tdhlw2ks4RnZR0hnSMJyStw/VSmk0314wbr3lHgJ2SrpM0AAySTgT+ChiUNCDpWmBn3rcVJK2V1JPHt5Ny+SEizgEzkrbkK9N2Ax/VONUVI2kb6fyC7RHxe+GhVtdMWS6uGZA0WLg7DHyXx0eA3flqtS3AbzmXUeARSWskrSFduDBa6aQrUJaLpHW5JpD0AOl/0wVa8FyKiKmIuCUi+iOin7Q0dl9EnKfl9fJP2XR1zdR9dv9K3oD3SMsec6Rf2F7gqTy+CPwMjBb2HyG9Oj9F4Wor0pUl3+fHRuo+ripzIb0iPQlMkN7afaLwc+4Hvs25vEb+QN5uvpVkc5p0zsBEvr3pminPxTXDXuCDfJzfAB8DfXlfAa/n459i4RXEe3Kmp4Hn6j6uinPZl2tmknShxtbCz2n8c2nR42eYv3KvNfXyL7Lp2prxJ9ebmZmZVcRLjWZmZmYVceNlZmZmVhE3XmZmZmYVceNlZmZmVhE3XmZmZmYVceNlZo0h6WZJE/l2XtJ0Hs9KeqPu+ZmZ+eMkzKyRJO0HZiPilbrnYmbW4Xe8zKzxJD0k6ZM83i/pbUlfSvpR0tOSXpY0JemYpN683+b8Jd/HJY1KWl/vUZhZE7jxMrM22gg8DGwH3gE+j4i7gT+Ax3LzdRDYERGbgbeAA3VN1sya45q6J2BmVoOjETEnaQroAY7l7VNAP3AncBcwlr8Orof0VSZmZv+JGy8za6OLABFxWdJczJ/sepn0d1HAyYgYqmuCZtZMXmo0M7vSKWCtpCEASb2SNtU8JzNrADdeZmaLRMSfwA7gJUmTwASwtd5ZmVkT+OMkzMzMzCrid7zMzMzMKuLGy8zMzKwibrzMzMzMKuLGy8zMzKwibrzMzMzMKuLGy8zMzKwibrzMzMzMKuLGy8zMzKwifwHKr+K4pqiK0gAAAABJRU5ErkJggg==\n",
 385              "text/plain": [
 386                "<Figure size 720x432 with 1 Axes>"
 387              ]
 388            },
 389            "metadata": {
 390              "tags": [],
 391              "needs_background": "light"
 392            }
 393          }
 394        ]
 395      },
 396      {
 397        "cell_type": "code",
 398        "metadata": {
 399          "colab": {
 400            "base_uri": "https://localhost:8080/"
 401          },
 402          "id": "wG7pTAd7z0e8",
 403          "outputId": "ef777715-41f8-4332-c08c-bdb0ce449032"
 404        },
 405        "source": [
 406          "print(keras.metrics.mean_squared_error(x_valid, moving_avg).numpy())\n",
 407          "print(keras.metrics.mean_absolute_error(x_valid, moving_avg).numpy())"
 408        ],
 409        "execution_count": 11,
 410        "outputs": [
 411          {
 412            "output_type": "stream",
 413            "text": [
 414              "65.786224\n",
 415              "4.3040023\n"
 416            ],
 417            "name": "stdout"
 418          }
 419        ]
 420      },
 421      {
 422        "cell_type": "markdown",
 423        "metadata": {
 424          "id": "JMYPnJqwz8nS"
 425        },
 426        "source": [
 427          "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*."
 428        ]
 429      },
 430      {
 431        "cell_type": "code",
 432        "metadata": {
 433          "colab": {
 434            "base_uri": "https://localhost:8080/",
 435            "height": 388
 436          },
 437          "id": "5pqySF7-rJR4",
 438          "outputId": "bd3344ba-6807-4a6b-b6ba-3be98fe8d8f9"
 439        },
 440        "source": [
 441          "diff_series = (series[365:] - series[:-365])\n",
 442          "diff_time = time[365:]\n",
 443          "\n",
 444          "plt.figure(figsize=(10, 6))\n",
 445          "plot_series(diff_time, diff_series)\n",
 446          "plt.show()"
 447        ],
 448        "execution_count": 12,
 449        "outputs": [
 450          {
 451            "output_type": "display_data",
 452            "data": {
 453              "image/png": 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