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S+P Week 1 - Lesson 3 - Forecasting Time Series.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "S+P Week 1 - Lesson 3 - Forecasting Time Series.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/ia35/33b65822275c7ed9afe882e6056940f9/s-p-week-1-lesson-3-forecasting-time-series.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "pdCh2GOzi7Zu",
"colab_type": "text"
},
"source": [
"[![](http://bec552ebfe.url-de-test.ws/ml/buttonBackProp.png)](https://www.backprop.fr)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "aDhRfX1Ni_4C",
"colab_type": "text"
},
"source": [
"[![](https://raw.githubusercontent.com/BackProp-fr/meetup/master/images/LogoBackPropTranspSmall.png)](https://www.backprop.fr)\n",
"Le logo BackProp est présenté chaque fois qu'une modification importante est apportée au code ou à chaque fois qu'un commentaire doit être signalé. \n",
"\n",
"Le texte en anglais est soit le texte d'origine soit un extrait de site qui apporte des explications."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gtlx9zPujKDy",
"colab_type": "text"
},
"source": [
"# <font color=\"teal\">Références</font>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "xHmaQ2YSjNnn",
"colab_type": "text"
},
"source": [
"- [Deep Neural Networks](https://www.coursera.org/learn/tensorflow-sequences-time-series-and-prediction/home/week/2) for Time Series"
]
},
{
"cell_type": "code",
"metadata": {
"id": "zX4Kg8DUTKWO",
"colab_type": "code",
"colab": {}
},
"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": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "y7QztBIVR1tb",
"colab": {}
},
"source": [
"try:\n",
" # %tensorflow_version only exists in Colab.\n",
" %tensorflow_version 2.x\n",
"except Exception:\n",
" pass\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "t9HrvPfrSlzS",
"outputId": "ba3ef16e-4d7b-4304-d397-cebdfa37ea89",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"import tensorflow as tf\n",
"print(tf.__version__)\n"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"2.2.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "I9x4GjlEVTQN"
},
"source": [
"The next code block will set up the time series with seasonality, trend and a bit of noise. "
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "gqWabzlJ63nL",
"outputId": "a77db8d2-1a90-4e02-ed1d-d9381b3b42d5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
}
},
"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 < 0.4,\n",
" np.cos(season_time * 2 * np.pi),\n",
" 1 / np.exp(3 * 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 = 0.05\n",
"noise_level = 5\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": 9,
"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": "A2c29G_9kuXR",
"colab_type": "text"
},
"source": [
"On a précédemment créé une série périodique avec du bruit."
]
},
{
"cell_type": "code",
"metadata": {
"id": "cWqyVKpVi0e2",
"colab_type": "code",
"outputId": "b49d93e4-6220-4158-8086-817c5235c446",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"len(time)"
],
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1461"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "q54ky8d5joCx",
"colab_type": "code",
"outputId": "92fb030e-b33a-4c6e-ae7d-75977509b3e5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"len(series)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1461"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "UfdyqJJ1VZVu"
},
"source": [
"Now that we have the time series, let's split it so we can start forecasting"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "eFEmk1OilBzg",
"colab_type": "text"
},
"source": [
"On ne split qu'entre training et validation"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "_w0eKap5uFNP",
"outputId": "a88d87fe-c3f4-4d47-a7c9-8a9c223be720",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 779
}
},
"source": [
"split_time = 1000\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": 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"
}
},
{
"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": {
"colab_type": "text",
"id": "bjD8ncEZbjEW"
},
"source": [
"# Naive Forecast"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "Pj_-uCeYxcAb",
"colab": {}
},
"source": [
"naive_forecast = series[split_time - 1:-1]"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "jHmWsTvDrLGw",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
},
"outputId": "ea10586d-c218-4cf6-d596-550df71489d1"
},
"source": [
"len(naive_forecast)"
],
"execution_count": 15,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"461"
]
},
"metadata": {
"tags": []
},
"execution_count": 15
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "JtxwHj9Ig0jT",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "515b7387-a9b5-4bec-aff8-4ade8856fbfd"
},
"source": [
"plt.figure(figsize=(10, 6))\n",
"plot_series(time_valid, x_valid)\n",
"plot_series(time_valid, naive_forecast)"
],
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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aYmNWvFwJkiET1jh6SJDVSMqGlu2UVlli2VQduyS+qsYnJuTFl23nyCu+ybbJPPA/wLaGHLLqeHI/ro1XLGXCyJJl24uGHLI27/zsd3mD/4848RF49Etw8csW85AFQRCEJcQYsEWQCcKZYQzze41ZLo5tDTlkFhXHwk9dLUjEm28iNk6MwbO/f+T+N49Vs07+vOxX8tu6duaQZYwqWRYyZL5Vx+q3eWjfFJ+o7ko2mNx5ag9UEARBWBZWS4ZMBJmwpol12SEDwHaxLYuoKMgsh+pQ+bFGQGxCsIecrgIXbKhzz7tfBxyASjO/rWvhmbIge+LgMS760n+l8srfgInzgUGGLBFkM/YWqq1prlRPU1epmxb5p/GoBUEQhKUiNmbFm8KCZMiENU5SshxyyGwXx1bEQyXLylCGzFKGatwFe8jpGqJZdaA6VsqX1Zz5Dllj7gkqd30QHr8hu6zjRWyyk4UGx63NqLDLhOrmNyq4an+160m+8NH3wv/7zyd93IIgCMLSYAxYq8AiE0EmrGl0oe1Ff+BYWW6S/TILh/p7pgpAJe6CXV30/Y4qWW4gFVp+3het7UVsdhJBdoyN2GGn3AYjzh2yW56conbgVnj8+kUfjyAIgnB6xFKyFIQzRxuw0wxZnwp1ArArOJYqZ8iGHLJpxmmQiqETlCwXouqW3TYorLb02/zqJ+7lLb0P8s86io7t0TcN5kwDJ+5lJUygtBCgH8Q42gPdRxAEQTg76FVSshRBJqxptDE4qSDrUWMTnaRkaamhDFm6yjLtHTZrxtipppLrCtmwU6Xm2PhmdKnT78zw5fv385e1T3Al0FMNOu5GWnGViu4ylnb2NyhUlAuyXhDjag9MAHEEtvx5CoIgLDd6vZcslVIfUUodVUo9WLhsk1LqBqXU4+n/G9PLlVLqL5RSTyilHlBKjV7yJghDxCYvWWYhe9vFtq1yhmyoZDltxvPrNj1r0fdbc635qyxTZmenuVQdAkCjYMfz+dwl/51ZXcU2ERdWktKm50yUHDIvjKnqtLFtJC6ZIAjC2WC1rLJczgzZR4EfH7rsHcCNxpjLgRvT3wF+Arg8/fdm4K+W8biEdUTSPyb5eTBAfFCyHHbIKo6V9SGboSDItly+6Psd2fYipTeXrKQEsN5yM403X8/spu9jOkyyajvtadqmTmRVSxmyfhhTMenvoQgyQRCEs4E2ZlX0IVs2QWaMuQmYHrr4XwIfS3/+GPBThcv/1iTcBmxQSu1YrmMT1g+xNjgqDfWThvMtB3ueIHOoOnbWh2zGFJrAbl68IKu6FiE2sZn/Rxx0Z3lpfX+yWGDrcwDY2KgwpZP73MlROtSJlFtaZdkP46yxLWFv3n4FQRCEpUeblR8sDmd/leU2Y8yh9OfDwLb05wuAfYXt9qeXCcIJScKYSYYsL1mOcMiUXRqDNFMsWVbnd+g/GTXXBtRIl8x4bb7f3QvbrswWDGweq3CcCQDO14fo0kgEWaEPWS+IqbOwQ/bIoTk6Bx6GztFFH68gCIIwGm0M1iroObFiqWFjjFFquMX6yVFKvZmkrMm2bdvYtWvXUh/aPDqdzlm5H2Hx7Nvnc6WOwUpC/QCznR67H32U2OR/YXffdx/7pp+VZchmyEXY6ZzbSKcikApNfDzjUlOJ21WJOpzHYQ6al7E73ff+YxHTJhFkE7rFHrZSCUOmjhzkW1/5Bpv1NE6kqFcTh+zu226mPXGkdJ+/9PUuu2pvp3Xe1Tz+Pb+06GNeK8jf29pEztva5Vw/d4cOewSeXvHn4GwLsiNKqR3GmENpSXLwVf8AcGFhu53pZfMwxlwLXAvwohe9yFxzzTXLeLgJu3bt4mzcj7B4bpx9kMoxBSbPkG3YtIXnX30ld3z3u9l2L3zhi3ni4Ba+svsOAKbMZHJFZey0zq0xBuuG6zKHrEeVGokg26JajOkeY1e8lPNfmex78/4Wf3f34ez2PWuMjRWffW1N9Zb3cI19O3/svjxzyF74/CvgkleU7q//1etoKI/xTU0uWMevR/l7W5vIeVu7nOvn7jMH7+FoOLfiz8HZFmRfAH4OeE/6/+cLl/+KUuqTwEuBVqG0KQgLkpQsdSLI0mav2BVsa7hTv8Nrrt7BuPsf2Du9g9u/lrhpfO8bT+t+lVJJJs24oAotN4CJwTDx8TwGuWmsUlpI0LcaBCam3+/xCusZAC5SRxcsWYZx4shZOho5xFwQBEE4PVZLp/5lE2RKqU8A1wBblFL7gXeRCLFPK6V+AXgG+Lfp5tcBrwGeAHrAzy/XcQnrC20MDoPGsINQ/6APWeHlbdmM11xe830XAW/iU1d1MNZLUJsuPe37rrkWfpQ4ZF1Tg+G/5/Ht2Y+bmxUiHFqmwaTq4VkNPNPHVX4W5J+kmy1QGA71h3FyuW1CiESQCYIgLBXJF/uVPoplFGTGmIWshx8dsa0B3rpcxyKsX7Qmm2XpDTrn2266yrLch6zIs88bA559Rvddc228aFCyrM3foOCQ1VybRsXmuJlgUvXoW2N4epYqYZY9O0/N5Led55ANBNnJHbJ79s5whXqa+uaLobHpdB6aIAjCOUMyOmnlFdkqWFcgCKdP0j/GEJN34U9WWVrz+pAtNTXXzlZ2DmZjlig4ZACbmhWm05WWvt2kr23GyZ2wieJIpXkOWSI6TybIekHEv/3Arai/fT3c8heLejyCIAjnItoggkwQzpTYGGylQal8tmTqkJUzZEsvyKqOlbly8xwyuwL1jaWLNjcr2YSATJClImzONMq3D+aXLC2SfycSZF6oibTBjdrQG24DKAiCcG4SxZogjCD05l23WtperIJDEITTxxiwMWjskiBz7fl9yJaaYrf+bppfOz7obza+HYa+cW1qVphKW18E9hjd2GaCZIzSscGqzwFDJcsoNrhEyS8nEGRJadMkTlrQPZ2HJQiCsO74n197jI//xe/A+14877p136lfEM4GSe3fpA5Z2qTVSh0ys9wly3ye5aBkedSkrtj4/EETm5rVrGQZOk18bVNRMQDH2FDeeKhkGcQ6F2QnCPUHkcYlHrkPQRCEc5X9M33q3QMwuzf5Jl/gXO3ULwhLik6HixtlJS0oYHSGbBkcsqztBXnJ8kgmyLbP237zWCVrDhs4YwQDRw84aoYF2ZBDpjXOQGgNOWReGHP9gwfgwc8SRlEu3ILOaT0uQRCE9UYQaWydvncOvYeuluHiK9apXxCWgmS4uEkE2YlWWVpL/1IvOmTdVJAdPqFDVuGRtKQZu2OEhT+/Y/ME2VCGLFq4ZPk/vvoovdv+hle7H6L5yj/FYXNyhZQsBUEQgIEgCxMbKvLAyRdiaWOwV4EiE0EmrGlibbAxQFmQObYiPhurLLOSZSLIjqnNhO44bjpUvMirr9xOd/q1GKfP0c7ljJUE2YkzZKEulCKHBNlUJ+C8dLWmPf0ElUH5M10Y0A9iAr/PpOVDc/PpPVhBEIQ1TBBpbJO+dxZmCEPyObIaSpYiyIQ1jTYGC42xiqH+UcPFl746X3PsLLfWS0P9b/qx78d50Z9BbXLe9pduafK2178ceDnWZx4gKPz5FUuWfXuM+jyHTOOq0Q7ZZN1hjiYAym8VSpaJQ/Y/vvoolz72IX7O/hr85sOn/4AFQRDWKEkON+n5SFReaWkMq8IhkwyZsKZJOiwbUBa+GYT6HRzLWva2FzXXIlSJEBs4ZM2xSVRj00nvr+JYed80yqH+jj05IkNm8gzZUKh/ouZmY6Msr5ULtzARZFMdn6o3BZ2jCIIgnIsEkaaSLYwqO2TS9kIQlgBtwEaDsnLHya5g26qU0VqODNlLn7UZ++KXcHjLDzA9mFNZaZ7SbV3bIiw4eMUMWceaL8iCuPBmMuSQjdUc7FSsWSMcslgbLBODjk75sQmCIKwnwuJ76JBDFhvp1C8IZ8ygUz9DoX7HUujicMllWGX5mqt38F/+05u49eV/nWXJTlWQVRyrtMpy2oxnixDaamxeqD+KCw6ZDpOZUSnGgJu2z7CDuTxrFnmgY2JtwCT9yYq3EwRBOFc4sUMmnfoF4YyJdZIhUyNWWUIhR7YMJcsBV18wSX3HFcQ7XgDbrjql21RsVRJkHi5dmnhU6ZkqOuiVVkmGxT5kkIiylKT3WHJdIsgK2wXd1CGL5t1OEE6GH8V89OYn0bdfO296hCCsJfxIU1GjM2Srpe2FCDJhTWNMOlzcsrMcF04NJ/3rygTZMoT6Bzz7vHE+8quvw/7FXTB5wSndpuKUS5axU6dnNQisGvu7Cuv4bsx7L4PuFJDa7aogtAply6JYc4LWfEFmDMqkzpiO6AURv/9P9+N/+R0wd/D0HrRwTnDLk8f51Jevx/rK2+GJr6/04QjCaZPEPhYQZKuk7YUIMmFNM2h7UXEd3vpTP0z0uvfBFa/DsZOXdoyVlCtXgR1dxLULjWxR1Ks1+laTUFXpp4sTVNSHw98FkuHiWckSSsH+SJusTOlG3bxkCRD28gwZgI64b+8sN91+B9U7/wp2X79sj1FYeXY9dpTH77wBntp1Wrf3gpg6aXlnqMwjnNs8fHCOxx+5D/bevtKHckqcrGS5GtpeiCAT1jSDthdKWfzsD1yM88Kfhdpk5pBp7GUtV54uiUOWLjRw64zXK3jWGB1TpakK396mdgMjSpYFh6xYsgSYUIWGsEEn6bGT9TCL6AYxDbzsemH98sdffoTwG38KX3/3ad3ejzTVQZknFkEm5PzRlx/m8BfeDZ//5UXd7rHDbf7b334N/Q9vBL+9TEc3n0SQSclSEJaNrGQ5FNq3s5KlsyyB/jPFtQurQt06z9k2ztzE5TxlzmczcwDEyoFjjwIQzRNk+YfjsFjbpmby7YIu0ZBD1vUjxgai7yy+IQpnHy+KsbU/7wPoVCm5CicYai+ce3T8iErcm7ci/GTcvuc4xx69BWv3ddkXzrNBUIx9jGh7sRpKltIYVljTxMZgKz0vI2an9nOsrGVpeXGmlBwyp84H/sMLgY/w8ME5Dux5mPfu+if+jf1tnnXsMQCC2JRLkXEezo9ig6Py63ao4/l2QQ+tG1jkGbJuENEkfRMVQbauybqTR6fX8sSPYqoMupuLIFsN/Pon7+XXwo9w2eXPgx/4pRU7Di+McbW/aKEexSZr00N8dlrxxNoQa3PCthdSshSEMyQpWZp5ZUnLUigGJcvV9zKv2IW2F24tu/x550/wYy//AR45/19xe2crPPMd9J/sZMPsQzhFhywqO2SVwnXbSw5ZJxGtRUHmRzQHuSB/bskfm7B68CONowMIT88h8yNNdVDmEYdsVfD1h48wsf+bsOfbJ902ijU6ikDHJ912sfTDmIrxSl8OT4VYG5zs/Wj5V30fmO0zdXgvW5kplCzLDlkyE1kEmSCcEVqngmzEKkpbQazsVVmyTDr15yXLYbZP1thrtgFgBW02th5ZcJVlMFSy3EIr3y5te+GUBFlMU4lDdi4QRBrHhKddspQM2eojjA22jk5JzLz+/bew5/2vhy+/bcmPwws1FRMsWpBFuuiQLb8ge8vf3c3hj/8if+Z+cEGHLJn4suyHclJEkAlrGm1IynEjvt3Y1uoN9ZcyZM58QfaKZ2/ldv3c7HcTh+VVloU3suEM2bgq9IsarLIccsiyUL8vof71jB9pHBOckSDLM2TSw26lMcYQxBrbhKfkWO6b6VHv7oeZPUt+LF4wcMgW55zGWucRi7Pwmprq+NSC42xRrQUdslhLp35BOGMysTHCBbNUGoxf7RmyQslywGuu3s673/omXuy9HwA76i4Y6o9iQ0VpApM8B2MUQrbpKsu8y3+yynIMCfWvd6JYE2uDO3DIjFn0PsoZMnHIVppIJ+fQMuEpiZkw0lg6XJZz50Vx4pDpcFGvrcQhW1zJshdEpUbZi6HrR1TiPuP0kqkuMHK4uLUKLDIRZMKaRg/yUWusZOkWO/W7jXnXK6XYNlnlGJNoLNyoMxTqL5csG3ZMm2Q/46ooyIYcsjhMHDJZZbnuCeLknFcIktFZp+FG+KFkyFYTYXpOHROd0vkIY5O4aYtcCXkyolgTxobaIIu6iNdW6QviKdzuoYMtXvX7n8S852J45tZFH2sviKmaPhuK7YBGOmSL3vWSI4JMWNMYA2pEqDMbCOoAACAASURBVB+S2WSrNdRfLa2ynO+QAYxXXUAROk3scMghi8qd+hu2pptOKhgnKVka1IgMWUwviMQhW2Xc/tRxDj58Kxx+cMn2GUTJOXfN6N5Lp7SPEwy1F84Oh1p9fuK91xH+xYuJ990NcEoly7y8GZ12yXohvPS1VTXpMSwinF92yE6+ynL/TJ+t5jhKhzD95KKOM4g0kTbUjMdEMcoxMkO28ops9X1SCcIiiM2JQ/16lTpkFdvGP0GoH6DmWlgKfKtBJe4OZcgKnfpjQ83S+FTwjZv1GPPtsWyVpaXyN8COOGSrjrf94/34X3o73PB7S7ZPP0oGytfU6NzMKe0j1FSVlCxXkqeOdQlm9uNO78Ycuh8YOGQnFkGD8qZ9Bos6FqIfxEDRITt1sb5Yh8wLY2oDl3aR71e9IBF82aryAaOGi68Ci0wEmbCmGXTqHyXIrIEgW4UZMtdRpU79o1BKMVZ18KxGMhKptMqyHOqvWTERNl5hYHnfGYewl/QpK2TIesUMWdA+rWyRsLR4YYwd9cFrnXzjUySZ4FAct7X4slWSIRuULCXUvxx84f6DzN3/BZh5ZuT1xea8xmthEyfveScRQYPypm2i0257shBeGOMS55ms9LUx1fF54/u/gf/hn8jGvg1T6kN2Cs5astI3faze4tr0dIMYmzhfKZwdRPJ8dP2In/jzXbw/+B2eN3fyNiLLjQgyYU2jTxDqdyzQylmVqyxLfchGrLIcMF5z6anEIassEOoPYkPNiglw8EjmYEZYeKoBQTfP2QHokI5faAxrNIQFK19YEcLYoHS0pKteS4F8OD2HrNSHTByypabVD/m1T9xL/fP/Ge788Mhtim1tjNfOowsnE2RRIpaStienlyHzwpgbHz4Ej3yx9MUtca0K958eyyOH5ji273Gq+2+BvbeN3GesdR6hOAWR7xfva5F9E/tBRGPYHYPsb2H/TJ+DR47wEusxLuvcs6h9LwciyIQ1jTakof75drOl0rYXq7Bk6donXmU5oFm16VKnEvdOULLUOMREysFLB5PHOPRVPRudZBcdMj/OS5YgZctVQBjrZOXcEs4WLbWsgNMKdgfS9mJZ6QcxCo2rvQUFc2kGoz838nx849Ej/NqffRjzv78XetPJ7QYLAIhOu9x8w8NH+MDf/QN86mdh3x3Z5V6o83IlZO9HXb+QT13A7V1sH7LkvvLHfzLmvJCf+stv0f3gq1FPfStv8VM6iOSy2V7ABpX8zU2Ex+dvd5YRQSasabQxC4b6swzZKgz1b5uo8UPP2UHr2T8Fl75ywe3Gqg5dalTjE4f6XSJi5RYcMoc+tcQh0wab9NutjstvmiCCbBUQxml7giV1yAruFpymQxZLhmwZ8cJCSXiB8l0Q5TMYjT/aIfuFj93Fm+beh5p9Gg7eC6SvKVI36jTbnvSCiGaWN83FUD+MqamiQ5YcU7f4ZW8BQRZrg6NOve2FF8aLKlk+cbTD0QNP0zx0G+6hO/PjL5K+lmf7IZMkqy8nwmMn3fdys/rCNYKwCLQ2WNboUP/2pkWv+izYfHbmpS2GimPxkZ9/CfCSE27XrDrMzdWp6h41S9MzVRqqPD8ujA2OitCqULJUDj2qEBwvfSM1cUA3sBir+hwzE2xVczI+aYUxxqTtCaI807cEK76SD/KiIFt8jkhGJy0v5ec35L59s9RmdvPccS/7olYcjaZKgix/XzMGrlZp89c0MzvcMJrIWzCvuhDJDN1UDIY9/r/rH+Pn+QLu+PdRH1Gy7AZR3gdxAUEWxotzyErPUfrl8T/89e280/9LnnfRVnjtn5e2Pzrns1XNJsfstakPlSw1Civ9W2j1wswhG18Fgmz1WQeCsAjyTv3zX8q/8oIaL/3lD8FP/80KHNnSMF5zmNM1arpHw47pUk2uiMsOmUOELjhksXLpmCqEA4cs+UYaBCHawJjyOGo2JjsQh2xFyVbDEaWZvqXpGTXfITsNQbaG+pA9dLDFS97xcfj9SXj86zx6eI72gUegc3SlD21BSlmsOOQ9X3mEqa/8CXzxN7JtktYjyTlQQSdf3JOej6mOj0uUB+zTTOg8QXYar6swyvfR63b5v998gg23/Q82P/GZkRmyJJ96ModMl0a5nQxvKEOmteH2PdOcN30nHLxv3vbH2h7nDQSZ38mPZ7A/1cj+Flr9kA2pQzYeTq34AicRZMKaJjYGtUCofz3QrDi04ip106dmafpmAUFmIrTl4JtkoYC2HLqmOi9D5ocBYKibPkdEkK0oc17IJe/4Eu4fbuRX7c/imvTDaYlyZKXsEZxBH7K1Ichu2j3Fc6x9yS/feg8//YFbCT7+RrjxD1b2wE5AaVaoDvFCjR17pa70xRyfFbTn9YW7c880V6un8p2mgiyIzJBDtviSc6R1ll0N/R42MbYJcbzpIYcseQxdv1DiXKoMWVQQZN4cU12fOArZEB0beR/H2n4myJQ/V87LAj2rUShZBkymDpltIuitbI5MBJmwpjEn6EO2HhirOcxEVSw0E6pHiEOs3PklS0KMlTtkWrm0dSXp1F9YZRn4AVVCbDSHRZCtKE8d62YrwN7mfiZftLGI83G07XH3Y0/Dk9+Yd12pZQWcVuuDJEM26GO2tIIs1ob3fuUR2je8B449dsb7G685eXlteg9tL6IazmYh99XIsEMWaZ24RgU3q7jK0g7aeSsTE4OOefBgiyutp/OdBrlDVlrUUVhpGcWaz9+7H/PAP2bn9ZuPHuWZe74Ge2/Ptgtjk+XXQr+XHavjHR/KkA1C/XGpZHm45dGdPgT92XzT0ii3U1llWRCtfpv9M322MZPsw5udt/3RoiALu/NWWXZVsxDqzzNkAMwdPOnxLCfr81NMOGfQBiyjV2Vri6VgrOowHSUia4PqEOAQW+68UL9t4rIgs1xacRWiPkbH2GmI1g/8zMI/ykCQyYDxlaDrR2wkEV8dU8vdjEU4ZL/9mQe45+/eCX/3+tIH6Wfv2Y/92Je4wtqbb7zKSpaPH23zD9+6n/Hv/Ck88Okz3t+cl3+4qt4UYHC0n+TyViklQaYjothg6ajUiqYY6rfDztBM25DZXsgGCq+ZYsmy2LuwIMi/8+Rx3v/pL6I++5/giRsAePtnHkBd/0742n/LbxLnDlns9zJXrOJPl1dZpsKqM+SQvf7936H1kX8NX31HtmmpU/8pOWS6VLI8MNPnAjWV3cdwmfFo22criSCzw868UH+HRinUP8iQAdA+fNLjWU5EkAlrmlgPSpYr32V5ORirOrRNEsSdNG0i7BEOmcYxIcZ2s7YXxnaZi5LyZVX3c4csDGimsy4Pm03JDvyla0YqnDodP8o+DPpUcdXAITt1QWaAmPTLSNrHqh/E/Oan7+flD/0+b3G+mG98xqH+pV1leWjW43yVloj6Z+5itYY+XHcwnbSTOM2h1EvFnBfSabdKLtGA4UUTYaxRJkoEThraL5ae7bBTLkPHAXNexKTqEZv0PXBQspznkOXnv1fMevkdYm043vUZC6ZgOi9/FnNoceBRT8VNNZgZypDlJcuBQ6a9FodafTb1nioJndPr1J/eV9DhwHQnF2R6/tDxY+081O+E3Xmh/jYNTOTxjUcO86zjN7HZ6hCY9G+oLQ6ZIJw2J+rUvx5oVh26JIJsXM8VSpbJm0ysTdKLzURQcMiwXGbjJG9Wx88yG0EQZGNEZs0YoVUb+UEhLD9z/ZBNKnFv/MKEhcU4ZFvHqgSpIDMPfx76M3SDCDA0TJ+tFMT26WTIijm0Je5DdqjlsV2lQmwJyoqtXshkYYD0C63dyReRUxBkjx9p0z64e1kWAPz6J+7lgQ//Enzy3827ziu2j4jDZAXioIyXlhiL58CJ+9RVWQjN9UO2VXyOsjGdXztwyIYzZPn5L2XXoj5zgcEyMRt0C3pTPPHI/bDvDqLYZCXSOMgdslrYyka0AXS7HegepxvEWYlQeS0m6FLT/ZLjFy1Qsoy14YO7nuChL/w53P2x8nNUEH/Hjk+xUxVWRA7lyI4WQv1u3Jk3NqltGsSBx8f/7kO87fi7eL31bfaYHWgUzB1iJVmfn2LCOYPW6zvUP15z6KSCbEzPEeMQWW724ZiPRwnBruSCzHaTUD/QVF7mkEVhkDVK7FPFcyZEkK0Qs72QjWmpabAYI/nl1EtsRYdFxT4ceZh+EFMhwlG6PDJmkYLMGDOUIVtih6zVzx2yJQhTt9KeUjp1ii63DiRXnIIg+7E/v4nxa18Mf3b5GR/HMEfmfKr9o9DaN++6UjlOR0SxxkoXd0Rel6m2R9U7SqXQFHpQ5gYgDmj1Q7Y4fVqmSWTX8pJltPAqy1LD38hn1jdsYg4rXan57E+9Ev76x8pTAsJ+5jYpTC6mgXu/8H74P88n7rczB17pkMtUKnCCXJDFWmOr+Q7Zb/3j/Ziv/z5X3vP78MVfyy4viUcgnHqKi9WRwpNYzqdNdYJckEU9xiyP2KjsddEy9aSUXWDKTNJ3N0J7ZQWZ9CET1jTagDLrN9TfrDh0TN7JP1IOMXnJciDILBOB7eINshl2hX7aIqOBny0z11FINS3vOtU6XWuc8RHBWGF5ONb2+fwdu/kF+8u0eq9lQ+qQhcW34kU4ZPOC+7PP0K8/v5zvGbDIUH+Uuq9LNcvycMtjz779vMx+FK54LYdaHpcMPtT7M2e0b0gE7o6Kx8F4MzuZYhNpf72TPJ9eGJcviAJwKmd8PAP8KMbW/khh6Bcbw8YBoTZJZ33gaw88w2dv+Fs+aL2HT6m8efRGVRZkc17IRqvHHA1Cq4YbLhTqz18TpbFaYZ9Z32QipkgUGxqpGNRBP+mBmJKVDYFt8SEwHSreVKnp9HMHGcbCOUhm65bbXhhjuO67h/gvVjpuaWJn6TkqOmR/cPitZeVScMhmegFax2xJneGq7rLJjejFNSwMTTxaOvmCm+XYgJddeRnqn/89NLfMew7OJuvzU0w4Z8hKlus11F9wyABi5RApJ3tzDePkG62lQ5STZ8iUXaFLIuQaeMlzBOg4zt6kq9UaHTUmDtlZ5Jc+fjfuN9+N2vWnnH/465lDFlJ4/S4iQ+aFmg1uzJSZSMpVM0/TK5SNSoxwyG598jjenttGCiI/Sl4zS5Uh+5tb9nDjp/4PfOrfQ+coh1p9diyxQ7bV6TFjxghUhU1qIMhO7JAd7wZlJ2n/nWd8LEWCwRSGUYIs0kMlyzxEPzM7y8b4GDYxF6j8+dlUFGQ6Yq4fMU6PDk0Cq5a5UYm7NXq4fGmsVuTRWkCQxVGQLSgg8krCqCjIJtJSsRPMZA4ZwBUqFWRh0SGb3/biWMcnjCJ2DAR6YftkdNL8BSUt00h+KLx/HZ3z2UgHV8VMM0HFBGxx+vSo0lfJF9TZVJCNk9+H1diI2nQpVMfn3c/ZRASZsKbRWR+y9flSHqs6dAZvPCQNX0M1XLJMurwru4qfliyV42Y9y5rKz74N6jjMPnyqtTotmkviTginxmOH21ymkuDwVFjNQui1osu1SIdsY1XTpc5cZRvMPEMviEpOBoDGmifI7tk7wy996AZqH3s1fP5X5u07SAXZqfYhO9zVvOJdnyF+zyWluYcDZrsh4yYVE3MHONTy2EEhQ3aGTTlb/cQpmjVjeNTYPBAucXDClh3HO365DPjUrjM6jmH8UOPoIHn+C931k+uKo5OSVZaVLESft5mYULl42MR8h6xhOnStJoGqQZiIozA2C66yLC0mGHLIssUBAKGfOXYUSpZQFmSD1a2VoMW48vDSEnzukOViNMmQlUcnHUhbWbgqpk2jLMiimIYV0hv0YATufNlf8cvhr6cb5IJsuhtkQvwZsw2ArWqWHjW89AvqXJxHOTLqG1kNrM9PMeGcIWt7sU4F2fkb6hxnPHuDw3LomVq2Kq34jVo5eajfcnKHrBjqN3GYfcDWqjVmTHNkLx9heWj7EdtVIoBbvsncjtMd9u5HmroK0VaVI/Y2mHkaL4zLTTsB3xmbJ8i+vXuKl1kPJ790pxjGj2IsNBUVE2EnUwRSQfHfP/8g3/rQb8H/+8/Z9kd6mvHgKLY3A0cfGfHYQyZSV8LMHeTQrJc7ZPHokt5iaPVDJkybNk161Moi6wQi93g3YLMqjA/beyufu3c/f/B/3gfve+kZZ+eCWOOYQXmw/BhLGbIhh8wUBVmhV1bRIfN9jyDS1OMOnjWGp6pZVmzk6KTBMRXHaqUO2cWV5Dl4xFxcuE0/c9lU5JVeVzvVVJbLqqX7qoVzTFg+B81mAJ6rCoIsFdyjHLL9M/0sqP+UujA5Vj1oZq1p2BFTZiK774nvfR0P6kvTJzEvWba9/DV2QCeryDfpGXxVw1M1YmXTS98jxylMLhBBJghnTtL2Yv1myDY2XMZrlezb3lizwS3+pZiD9/HUwaPceMd9vMH+JgCWXclKlpZTzQRZkzzUb+Ioe5OuNxpMxw0pWZ5ltqWCzPO8TDSUxrssQpj4oaZGiHFq7NNbYfYZekFMfXhcjD02T1jcs3eGH7QeSn4574qR+x6I907aemX2878Ne2/njj3TjB+7F/belh92TO6gjBCVbS9iPC1necf30w8jdljTzJpmssEZtL4IY03Hj2joDh17nK4plCzhhM/p8U4uyDxVh6DDI4facOwROPboGTvIfqhxB4Js6DiS4eIDQRYk7pHKM1sDAVRcPVoUmrsfuJ0ftB6kGrXp2+OJC7RgY9iCIIvLJctZ33ChO0fPnuCr8Yuz7VTUz94vVORRV8MtJMqzMcfNHE3lcSgVZBNZ+dJk9x+NaHtRFGS7dZofS10yL4qpEzLFZHL5houZqDuJkwal96+2FzE21NZnoz6Or+r4qoa2KgQmCaAVS6s0t7IaWJ+fYsI5gUm/ca3nkqVSiku3NHnabAdg80STG/3nonTIzTd+kSM3fZQ/cpNZnZabr7K03EpWsmwoL5tzZ+Ioy4Q06nWORfXkW/sSd2EX5jN4vWaixPeykmVZkC0iQ5aGs61KjceCzdA+hN/vlkqWIXZayip3ar/nmYIgG9ExvTg2adALb8MDH4YH/x9tL6IWt0uD6YPY5HmoEYJszst7VHWP72cjbWqEPKxTR+YMcmRz/RAw1KI5+tYEHV0pl/ZOIMimu362AGDa3gJRkI0jA+YJ2a4fEXmdU/6bCeK8sevwcRS70BsdEuu8ZEnYy57PCbqEaa+sokN29Z2/zT9U/gSFwXfGk4U8qQsXnGCVZdLwd+DaJQ7ZdnuOxqYLmHz17/BrQVLCtiIv24cVe4xZyW0Gq4LnBmI6ZaPq0DB9DrF5xBORHFesdR6oH5QsZ3tcVk2E76PxjtL2Xhgz6UY0t11G/4ffBT9/HZN1F42Fb4/xxL79/K8PfAA+8uN0+l7mfB1KBdl43MK36gSqRmxVCNIWM1m/tJ98H1z1r+Yf7wqwPj/FhHOCdCbzuu7UD3DJliZ7UkG2daLBXfp7iJXDztk7S9/yLKeCl77ZOIWSZTG8ig6zN/xGvc6RMP2GK2XLZWeqE2SLKwAC38tC/VlTWAC/w5PHOvzN9bdhbvxDTBwumK8auFh2pc5uP/kQtOf2l0pLAS6BqpaExe4jHVx/msusdJn/iMHTxS79xYUl9KaY64c0dCcRj+mxBTGFjuqjHLIwey1GswfZkrpSu03qiJxBL7JWP6SBj2UiPGecrqnlw7bhpA7ZNjs53uPWFoj9dCVgek4Kz5vWhivfdT3Oey6Aj73upMcVxZpYmzyvNSS2S3Ma03Jwdr+FzFZFxcyQBM5Lzl+B0B2nT6VQsly4D1lQWNxDlGTItjID49uoVexkP4CKvaxkacc+G9zkNo+l5ywakhCbaeGagANmc/Ze9DfRq9M7Tc5B2SFL9rd/ps/llWm6lS1M6/Fse2MMXuowPmfnVuo/8pswuZO6a+NYCs8eY25mCvbfBXtvJewcLzhkuSgM7Tq+VU8csnSJ5oSVPLfWc18DbtnpWylEkAlrllivf4cMYOfGeuaQNcNpztu8iaeqV3BJ577SajrbqWYOme0mPxtUoWwARkfUrOTNsNloMKsH5SIRZMvNvpke28lFh9JReWzLgKDD5+45wJM3fRL17T/jV37vD+DdG+Cxr87bNFktF+BUG1lux+4cKoWvQ9yk8WzhA/lYJ+9mnmw0fwVmsQdZsTRlOsdo+xFN003aFqSCJdDkQtCfLxo6XsR4Gk63Ooez0tuT5vxkgzMQZLP9fHyQ50zQo1re4ASu41QnYGelQ4zFjLUhLx1m433y5/K7B1psG5zDfbeN2NvQ3cZDCyNGOWRDiyZyIejlLhYwY8bQRpWzcQVCd4KurpZKlqVQf7ExbHE+ZOgx5xsm9Sw0z6PmWPn7SOzhDMY2aZ9xKyC2XP44/FkALrWOZM4d5EH/N73qBbhve5i/+Wd3cKd+Tno/yXHF2mSj3AYO2f6ZPhdZU/TqO/JzF/ay58/VATj5a1ApxUTdpWc1qYRtKunzFPdm2WyXHTKAo7VL8JxxIqeZOWTjg9ymvXQtTs6U9fspJqx79KBkuY5D/QA7NzYyQcbsPnZurHOQ8xiPZsqCzM0zZI5bARSBVSs5ZCaOaKSCbLzRTFZZgqy0PAvsm+5xYaHDeFN5WflygK+q4Lc5MudxXpo1e4OdDg5/9Evz9umHMRUTYDm1zBHV/lDJUqVlmsIH8mwvYGNRDEYjHLLCSrx2YaWvThcAjJtUXKRumB+bPGO0UIYsfS26vcNZP609Ji1RnUGGrNXPu/RHlcmsB1/GSUqW250ObXtDsngmCohinQmRYmnym48d5Rr7/uSXytiC+7z7mWn8vXcTtJNzWF1AkJUdsmSbLLMVlrvy+7h0qFFRQ33TUqLKRNIMOltlOZQhC4czZMn96bBPZJIRa1THqbl2nkWNvGwfjvZoWgFWpcGLr3kd91zxdn43fFOph97OVJCNT2zEHj+PWq2eC6yBQxaXM2TGmGSVpT5Cv3F+du5uf2wv//XPP8xXKu+gFrXAzfsxAkzWXTpqjFrUzr4IxL0Wmxwfg+IoG7Jtf+CH/jmX/Js/4p4X/xmBGQiy9DXvDL1WVpD1+ykmrHt0KUO2fkuWF2yos0engqy1j0bFYU5XqOpeaem24+YOmeMmbzKeqmeuBABFh6xZzwPVUrJcdg7M9rmgIMg2M8JFUuOJIGv7bEsHJL/Qejy5cmzbvO39KCnnqMK5N0PtCSLlJu1QCoJsphtkjlLXmsjKXEfmPA4c2A/HdhNEC5Qsu8eoEmQr6wbDu8MTlCzDWNMP4+xDsOYdywTh02Z70kPtDDJkrV4+xzKsTNA15Q/vE5YsuwFbrTZtewO+cZKSpc5HBhUdsm8+dowfse5LfpncOWJvSfPfn/nAzdgf/QmcO/4vYKhmGbKhkmVxdFLaJHUgyOy4X+q/FeCWz8MQpjpBR7uYsM8Pvefr/Kvbf4Z/43w7eU6sWrkPWcGZ06lQc7UHbp2am5csbe1l4snVAU0rRLlNfuvVz+GK17+Tv49fVeqhl400SsVqo2Inq8KhkCErr7Js9UP6YcREeIxw7ILs3D309GEunr2DKwatM5zyOZ2oOczRpBbP5c+T12Kj7aErY8wVvkTseN4ruOSy59LffFVWsszeO63V0x9fBJmwZhlkyNZzp36Aqy+YzL/tvfQtjFUd5nSNuumVPnidSrXU9qLmWniq7JApHWUfDhONRsEhE0G2XNy0+xi3fOurXLL3s1m+BchmARb7K82qCfDbHJ3zstWYmdtVLTsyWpukpYIOUG4tczV0UB6oHFmVxPkpOCQzvXyO5nFnaybI/vBLD3P3x38XPv6vS1MABqssAaz+dKkNw0B8BbEprbJ83V/ezL73/STc+Id0vOQ1N06PGEU9anGxm7zmpsxEMsJrROsNSEqn//OrD+Pd+KfQOjBym24QZSPBVHVshEN2grYXnYCNzNF1NuAZB+KQSJs8eJ6WZKNY88D+Wb5/IJAXEHn7Z3psNbM42sea2l2epDBcsiz2A9MhCp1l36yoX8oCasstnYdhdHWStq6iIo/Z2RkujffwfJ4E5q+yLTpkJuwDBif2wG1Qd+1SyXIgEF3jJ6/FNG/l2knLi6DgkGWOXtpgtVFx5jtkQ33IDrWS1caODtBjO7JzNzM7yyVWPpR8WJA1q8kUk4ruU8uc2RaTtoepjGczgJONkw78FccqhPp7YFdBKVYLq0caCsIiyUuWMVjrV5BtbFZ46k9fC8yCUjT/6bvMxlVcyhkkx3WzxrDYlfTNsFZqKpk4ZBGoChuaFVpGSpbLzbU3PcXPHfkgP2zu4T5+Iru8OVhxSC0rPc+YcfAPcaTvsU0NlfAK8wAhzye5xsev1LMPMhN6pZJlrCq0dSXp12QMKMVsL2Cbm9z/tLWZi6LErWv1QyrhHETHSzMEixkyZeJS6XUwWcAvZMiM3+ahgy3Gxx6Bo03aXkSVgKqKeEpv51nWYa6094Oq0WyOM+NspT53cOTzd9fTM3z1Wzfz9up7+MeHZ/jBDbNccNUPwwv+fbaNl7b/ALDcxqIyZMe7PpONWZ6uPhcvSB2yYg+vNNvlRxpjCq09Ftjnkbl8aLo9u6dcNpzX9iLvQ6Z0VNrW1n7ungHaqtDRJwif1zbQjl1QsEUlvbkGsyk9q8F4cZVlIR9owj5VwqR9kFtPvsgNnPbYz5zCivGT16mbOE+2pVAKolEyYttVADQrdi6OswyZLjlkh+e8rDefmdhBL31+O+1ZLlUFQTYUvG9UbLq6QlXn/dGsYI5J1UfVJoiZXzWpOBZ+erxj9FdVfgzEIRPWMDoL9a9vhwySEOvgm1yz6jATJW8kW8mdLafgkmC7yRuWqQ6tsoyoqhjsCpN1l7nUIbvpgce5++O/B9/8k7PzgM4h5rxkRaKj/ZJbMiiZtAuux5QZg6hPu9fPHLKMsCzIBjMYbR1gufXsQ1RFPcasgH76WqjU6uzqXgzdo1nD1uleyHani6+qOEv6agAAIABJREFUtBjP9u1HGksHEPbwg9EOGVD+oEyFSRCTCQjjz6ENVOIeBB3mvDBrM7DbXAjAc8weaGxmx4YaR9UWaO0f+fztne5xkTqaPJdH9nLeU5+Dhz4777kYCBu7Ws/KXn7ac2ohN6vthXhhzHg0Tc/dhKdt0CFRFM9bZTlvckG6z689dJh3ve8jmGuvgbDP4VbubjqtZ8pjf4ZEXDKnMX9NFLd1Yq80k9RYlVKWbxi7PsFclLg/xfcFgL7VmNcYtpq11/BykVlpphmyRETZOnfIbHTyJaKSHINSCteySqF+AM67EiaSXGC9Yufl41KGLHfIDrdyAWtN7sy2D/odLh0MJ4d5Dlm94tAxVaomH+nkBG3G6GPXJviT11/N7Gs+AG/Np0ZU7Nwha5j+ks4sXQrW96eYsK7JS5bxuhdkRcYqDi2dvDltVXmX6omxBj2rQeQ0YWxbkgUxlZJbonRETUVgV9jQcImx6VpjsO92rn7i/Zhb/nLRQ6iF0XzniSkOP/RtNncfp6E7uEOOx6D3WDEXdCxOypKbaLNJdYhM/ro+eOw43cdvgvYRYDBr0uBoH6dSywQZocemSkSLJqFymRgb44b4+5PrHvsykIT6t9hdutYEvUI5M4g0tg4AQxTmH8bD2aVLrfyD8tjUMb78nXv44d7XhhrDGqq6B0EvbQqbiL5B37Ft+gjUN3H+ZJ298SZo7Rv5PD5zPBdkV6hnkiarx58obeMXslhurZG5Mj1qRFZtQTfrmeM9ttLCjfu06hckJUsAHRRcnGS/QTqmrKqipN1DOpLpjj3TuAfvQh28FzpHOFR0yKIe5xdGDI0sWRZeE8VFOq72yiO1bDdzKrPJHcD+nf8CXvvn1KqVJNRP+X0hwCGgSqfb4fpvfQduv7ZUKlVxoQN/miHL2udov7RSc1zPlZwq11ZZqD97rV6YN5ZdqGRpF9peHGp52QxLZzIP9e9Qx9lQaIg7LMgark07dqnhZ19u3LBNky7UJvh3L72IDS95I2x9TnabimNljWEb4pAJwtIRlxyy9RvqH6ZZdbJvkcVVWJvGm3zjt38c+9fvgef/DBXboq/tLFsDaVkkdcgaFYfXfe/5/EPwSl5pf5cKESrswdM3n/XHtB759U/eS/zF/8Kb+h+jaTpYaDY5Pm1TR6Oy89ItOmSpILvMSsp3D5lLsutuf2wflU/+DNz2PqAczLYrdTQWsXKxIo8NTjL7z7PHaTabuJM7eKp6BTyaCLKZXsAmq0PPTgVZVBRkadg76GVu0GAF54BLCg7ZZ6+7jn9xw4/wi96HeZ71DAAq6FAlTHJYYS/tQZY4ZI+Znfm8xMZGzt9Q5wl/Q7KwZMRg9X0Fh+x7rSQTxezeUibKizRjdrpKsZqMTgLoUyGw6ws6ZE9NdbPH0qpfRD9O30fiIA/1FxyyQUlxxgx6ZXVKKzwJPY608hIcwPdYBedvRKf+ougqdsJ3tF/KAhqnmjmVxfOx88qXw4veRN21M/FTbGkSkUQZpmZaHPrmB+Arb0eHfnZuVeTlo7vcRqlk6eq8ZAnQjOeykiWA61hZhmy/SbvdX5H3Z2tUbPqDYw3zUH/mPuqQIy2PZ1VboCwqG3Zk5+5K9XTpuRpeZVmv2Mzp5DgHszSrcZuG6S04JLyYIQPAdkdut1KIIBPWLOYcaXsxTLNqZ29aJewK2ydrqPHtYDtUHIu+dkrfupWJk67hqVX/R//yKj638U0807yaz8SvJLSq8Pj1Z+uhrGta/ZBK1GZStxhLW0RstnokvpOThfqL7tN02vxzMID8Fn1ldt0kHdy4B16S9yqG7p1q8iEZ2TWs2KOpgmR+nz2Gcmq88nu28vXgKjh4Lw89c5gd7YfYQIeeM0k3rmQlyyDW2GZQkuvlDtlQyfJZBUH2s/bXs593kKyUVEbnLk3QKTlkbWuCw6Q9ohqbOX9DjafDdJbg3PzQflKyTFzB5kCwGA3Te7JtvDBmzE6OtVJtZAslfCr41sKC7Ompbub2zTUvwRuU3yI/G2E0WGUZFHJlMyZdYBF0E0GWCoI7Hj/AjiPf4kLrGEG6r8tV4TGNDPXnX6qKIf6KKTuq2JXstdIrriKtJLGDRiGvVRRksXKYNQ1q4SxbdZL9U1E/y5BZsZ+XSlOHLMJBKwe3ULIEaMatIYfMSuacAvUf+mV487fg2a/Krm9UbEIcYuVkGchI67wPWRxyaM7jErcFY9to1GtJB37cTNxnK8Gd+RmyVhrdGIy+quku9bgL1QlGUS0IyOQ5XT0tL0AEmbCGSQyydJblOu7UP8xgddE8hr7tVRwLzzh5ewIAHSfZkdSqn2y4fPk3X8XFv/VtPrr17Tzgfh88+Y3lPPx1h9aGVjcoNTb1o5gwNlTiLhtpZ6sSN1pdfCpEOFmovxiYHzgvA0H2oz/9y/wn9z08aj8nz5Sl4Wyv4JA5lWQfoarixEkmaOumDfRf+d/gZW/l4s1NHvGTlWaf/9C7+VDw21zafxDfnaRrnKTlQhylQ6eTD2AT9LKfT+SQNQuuzraCEMgaqAa9Upf++tjG3E2pb+L8DfWsqe2osuUzx7uZQ/b/s/fmYXKc9bX/5629u2d6do12S5bkPdgGY2wWI7OHODHcCwFCSCCE5GbfIYSbFUgCPyCEJCQhYbvZIJDcLD8wIQbEYmyMDca7ZVuWrF2afXqr9b1/vLXO9CySRrKkqfM8eh7NdHVXdXVPvafO93zPt4DxR9P/dvyQmvABgV3Jsq884eCKaoEITbU8/uyL9/Hgp/43o4/+E1c7R0Az6VTX0Y7UYq1Ffk4hi0uWQdaZOEVGyKbaWeTGf33+X3jb5O/yA9odPCC3EqJxkcgrZPNjL+zc32d+BmkFt0DQNCMjZIXPI46YqFh6Oi5thKxkGekWe/xBhsLjrEcRMj3I1E8t8ukhr5Cpa2mg2ZjSy9QsQJdBQSGzdC0tWY4OD8P6qwrvr2arx/xYpYwiSSQp5JAdne6wTpuE3nVULbV9U9qMiilCNL4bbY+3LY6qUh5ZdR1LwnLrtLDC5sIKma7PUcjKkmWJEiuCUEo0EiPZ6vkq12yj2NKdICoGRto5v0QCTfpqkc1diJKGgYtG6zwYrIfJfRBFlFgePvL1Pbzt3e+G926F/d8GoOmqz6IStRkW06ka1kcTV5r46Km3L5+ZlShkO+KS5UXbL+YJ51KmIysNik1KP6pTLu4uMx1sQ8PXHPTYDD48MMDm57wGLng2GwcqKQl6gfbddH+u1U8zjBeooF3IHiNopyW6RCFrSZtpWaUqXFyZ3RgkilGeXGQEUnnIkm7fev8g++Ua9Vg1IWSKLM419k+3fGY6PpvFsVT1Sk3kOR9Zx4+oaT4YDlXbSBVkX1i0hKM6TGP81wNHuHvXf3DZw3/Ga468nx8OPwcDWzBNKw0NJcx7yOaXLKdShazBTE4hy0/FOMgIx8VQgbzmiWEQRgSRpIKXesLyfk9H+AX1TDPttAGkg5l5tmKFrGYZNOL3vTbfoatbPNQZxCTgMqFUJy1oFxpM+pP5mGYVx1CvG2g2lnSxRZA2iCTbpP/Neci6jR+yDQ0hwNfUzNwwrmokkSJh6LHt+H+z3X0A6uuxDA1DE+nnN6avyUKx56iLVSuzbhix4jYoZlWemtM371ggKVnmronnqqlfCLFwe0eJEk8BonxW0CoiZD12duEtYM4Q5HxHUQJNhqoE0eXOcLTPYY9bV+NMTiGkc7XhzicmuCQJr9x9C6AGUJuoQe55n1+dWTpq2FE2aLuLQrZdOwyaCdVBFQQcWIzEZZlWs8HYwUdhan+2qJoOFUvHFbYyg0s3XaiBAiF7utid/t63+plJCJnfjvOpgvTnJEQ48RS1RSWdqzpLNVVsHo42zzsva3OEbHJmhvWaIkX9A8McSAhYdYj1fRWOMkCENi9nbN9EkxGmqAgvVUoOMkLDHIKxPCELqWo+mI4yksfkTZoVjsjBQin04FSH9UJ9vx+P1qlryND2gtojwpwyFGSmfismnAt5yPrIFLBQd5iOKmkERYiOdJvp/EY37tq0hZ+qpHlFrEY7C5QFNMOhgVqGfYyMCMWf80DNSo9rU05R1AyL/fFnnxBmPWwXIjbSqQ1mBUPXMHWBp9lY0sMUUbGpI0e8DD1302fOpwhCCGqWgas54LVS329ybvXI58PWh9SUgKpSSfNKX//GS2g8+23IZ/8yXPE/C69dtfR58Sbr4s91MQ8ZiKz79lxTyIQQzxZCPAg8HP98pRDiw6f9yEqUWAKRlNmw5lVEyGqWUTCCf3vbz8POt8OmZxW2s805d4PEHrIFCNnausOhKPbyzHbPhCoxH9tGauxNJimMKbLTcIO0JJlHT9TAw8KTRtZlmVfI4gV1LWPQuw6EoDJn4Xns4DHG/vFnuPD2t2WGcMPBMXQ8YWFIF0t2CgvnxoEqRxnAl3ph9E5g99OWOUKWK8vht9IxW8mCfHDwWm4J1fesn0aqUDwcR1lAFuOxJmds33H3O/kV/dMAjIwMsz+KFbLKICO9NkIzaFjD80qWDx+ZTZPaEz/dmDbMhLGm8B3tBBEVzQejEi/U6rg0q8pj/jBM7U8V5MNTbbbbU0RofDCIF/mhbYWMKpEvWXZRyJJB33hNplp+WpIuzCbVbaZkNVVHx2UvYv/t8M4hCP00tsTBSxXIJOaig1UcbQXoVmbq9+V8QjZUsxhHeac25jo7dcNOCVkCI2gX1LdkyH1CqhxDxxc2luxgi6CQel9UyLScQtZds1E3Cg54TYKoqJAVcPkrgfj6Fn/f7TU7+IWXPwPxkt/vaupvz7FurE+UwQU8ZFas/qU3qucaIQP+BHgpKLemlPJ7wA2n86BKlFgOIhl3WMKqImQ9tlHwkDzzqqth52/OC8e1dGWOzUOXwcIKWd3haDKQd+bwvMdLdMdo3UmNzYwpX1PTDdKFOI9q1MAVFr7UMUWR7EihZZMTAHoVyVPjZzJCpocdbG8Sq3U0W1QNm4ql08HGlq5SHHIL5HCPhWkYmVcrhi2CLLsu6BQImRZkCtkH3/Jyop/8CtFNH+I/w+vVLkWUKjv75Gha1jouVbkoXzZ7pvaI+s8Fz+XCNX3sSeZX1teja4LBmsWMPjBPmf3mY2O8yH6YSDP5fKSI4Lg+Eo+CyghFxw+VumQ6BXO7add4qDOoVN84ePbwdIct5hT0riW4+AeZ3X4zXPpDhQ48LR97keuyTBTJpEQbtGdp+2FKxBJi49/wdv6x942FjLlC2a89iRuogFSDMP0OJCXLWVlJXyspTRqmk27nY2Q3W7GHbLDHwkVFX5g50m1YFofkMJHMEumNqBN/9ur9piXLOGPMsXRcLBxlyS8qZJWB9L+WLrLv/gKELO209FuEYVEhS/GmW2Dbjdn2CdEa2tb1NdV2xvwA4AQLesgSQnaOKmQAUsq5Tsvu001LlDiDiGSuZLmqTP06LmbmpVngQqju+DNCFqKhyRCDoKt3Ym2fwxFZKmQnCinJvIxLKGQaEZ6wCgOZ08VOt+hgZd6gmJDVLKMwCsiWHaywielOZJ4tQ3nIWtLEwcOIiiVLIUShbPmV8EoAmn3bcwn/rbgslw23ThpCnr51FG3j07ly61oOMcys3s89+hWpUnuYIWbictoYCSHLFLJRsw0X7oQ3fY6XXLaW3/mZH4c3/zdsea56j7ahFu2cT0hKyW2Pj7PTeohw/TUcEqP4Ro1Dxia8ObM5VQ5ZopAZaR6XVanxZKIOTe4F4NB0mw3aOFrfRv7yx6+j90f/D2x+VkHt0UI3IzW5pP5MIVMkqN2cAST1uGGhLyZm5jPegFYZYJbsb/MCLdeY0J5Uhv40eFdtl3REz8hq+tkmDQSG5aQEz+tSsuy1DUxdMCGL6pBpOUSaxVEyIlXFxRF+egMwlCtZAjimRhsbBw+TOQrZVa/LXlvPqfBdPGQAdcdU56E9SRB7U3XCrGwIBZJXUISHtnd9TZhfsiwQ3gU8ZNm4p/i6eBYNFoflEbL9QohnA1IIYQohfh146DQfV4kSSyKKVq+pH0R2McotvHmoEMSMkPnCQsgQE3/BkuVx+pWXp1TIlo1ISjXgHlQcQ+DRdMO0JDkXPnMIWaKi6CYgskW8N0s7zy88DkoBs7zpLGPOqFCxdBqhSQUXM2rPWyA3DVbT0tXVr/xl+LXdjK1/YeoPCzqKVCQKmR62sTWVWZdMiRBCsPtd30/P2x/l9/r/KFVqp8016RiuRCFLuyyB3nAyXXQ1TXD15gHYdG1u+oSuvHS5LsTHjjXwZsfZ5D6Kuf1GvvCrL0D8zDf5fO0V6kYjcPn0t5/kL/7qz3nn5FtVh2KskCUly0q1hyeTBoKpfUgpOTzVYSQamzccPB8aqkf+/KT+3PzHxNTvNqfpoZ0zlWfEpscxCnEh76/8AvdGW9UP7clCXMZETLqS+Im0i5PMr2ZadkreQ2FkI4viv38hlNKYNIYkELrFun6nULasxL2+M/FnNqjNL1l2pElFuMoHufEK2tf/Gvzy/QX1qVCytLrfGG4cqPBEMASTewnjcV+GiLIxb1AgZLW88jV4YdfXhKLXDOCYVPN+pVFR360uEEIUPudzMYfsfwE/B2wADgJXxT+XKPGUQpUsEw/Z6lHIbEND10SmrFg9XbdTLd7Zwu8LC50QU3YnZMM9FlLotMzBUiE7AUigMJ54Yk9cspyvkAF4mopMTZB8jkIzsXQtW8QXKFk6eFRkG4HMYiYMG8fQmQ0N6qKFJsN5ymleIevfcAn0jsZjctSiFHgJIYsVsqAdT3UoqgiWoSEMi1rFohmTx6azNh3DdVQOEkiNDWLOsHCnv+v5UO8xVrVywbB37p3gGu0RZUvY+jy2DtcwhrYgzKo65qDD7Y+PYx+6g6eFD9AfTaUKmYtJhEZPTw+H5RCR0GFyL9Ntn7YfUPePQ9+G4vvKNcGIHCH79ve+R/hnz8Sc3puqhwkh89qzKakCsmR5s0KvYxQUsmte/Dre4b9Z/dCeZKzhMRQb/o/EpeQkoHVPtC59XkKwLMdJRyeFwlTZXgBmdkM2WLNTH2JaotRNLhis8aQcTQN5K8LFwksVsgHRUDe18XXBMfVYbfXRZcg129ZTeenvQH/mFQQVDOsvYuoH2DxU5cHOEHgNouZxBBEakvYChKxi6UizCpoB/Rd0fU2Yr5AlpVNx7U8uqNYB2Plmp7OsZLnkcHEp5Rjw+qW2K1HiTCNcpV2WqnNJpxk5igkscGdqGRrtXMnSx0SXAYaUXS9Ehq4x0mszqQ3TUypky0ahuQRg7BEa7tMWVsjmlCzT2AvdUqqKnxCyTCHLlyxrdNLOzbSrzHCoWG0mfYMRLSZp1cHCfn/oyg3c7b0CbBuGd6jXNrPXDtw2oBcUMjXVobuKUHdMQrsOOMjKENNNtbi3RIVj9GcG6wS5RXcuapaumhu8Jm4Q4nkeBw4d4lIj/h6uuSzd1jY1NdoncBlvevRF06BBPZgA80KGeyx++oZtTIlfp/+Kl6LdeZwZcw3V8Se47aH9PEe7X5V060WFLB8aqkdZl+UW/zH08Rl6Jh5Iz00HC19zCNqzhfE+ibkfw1Glulypr7dWYyrxCLYnGfPctAPzcOzdTEqWj8mMLCbkz7YrBYUsFAZoVsF+MFgzmRhTJcsx+ljDFOgW73jJpex55Df5uS8+nb+yPqjmPRKlpcgBZhWxixXLiqnTiCxGcNFkd88pgKkJpLZ4yfKCwRq3hmtABzG5N51j2ZFWdieTKx3+j6dvwBp6FfReA/rCFKVqFkv5T255NVvXh2g7f2vB50CshPqJQnZ2lSyXJGRCiI9DUhfKIKX8iZPdqRDiV4CfjF/3PuBNwDrgU8AQcDfwBimlt+CLlFj1iAo5ZGLxjc8z9NgGzXaikC1cspzO/Yl7wkQnRF+AkIEqWx5rDrBptiRky4WUoInsEvmJ/7iV58r3smmBcxxqdqoqRMLIZlDqJr2OwYyflCxjhcw0mMo1ceRjNJIZgBi2GnkjLfTkWKrDhf1eu3WQa7feBNyU/k7NLVT7D90mgp60C9MIO+mYrW74xRfuoHX016DyY/R+1U49ZLpV5ag/eGKEzDaYiWzwmnzgi7upf+9v+Fn/M9zpPAPMEahk6podBx4TdJhseQzEhvRqOA2GgxCCt7/8UuAdAGwc2MWRYC21vQ9x3z3v5R+sT6kXmqOQ5f1QuswUssE4dFR3p1L10MPE02sEnQZ1UczHwqyCEPQ6BpM5M3y9p8Z0kl/WnmSs5abTDI7EhCwpWT4m16fPSzPebCctEYfCJNLMeX/7gzWb8dhDdlgOskYoQnbpujq9ztX80heUapk0ISSfWR+NAqGyTY1maKTTFRYi5aauIXVLreQLKWSDVfbJUQDE1D70mJR26P69uvmqDXDV0hpQxVJe2lAKdCG58dnXwSU/sOTzFCFLFLJzr2T5/wOfi/99CagD8weOLRNCiA3ALwLXSCmvAHTgtcB7gD+RUm4HJoE3n+w+SqwOKDP16jP1g1rAWsnF3uxOyOw5HjIPC40IQ/oLBiKO1h0OhgNpR1qJpRFFMuv2BS5t3clF7v3s1L4HqAU1b2D2RVaylLqV6/gyVcacLCpk1TlemTySPK1k5E2hDFQb7vqcPBxTS708oVvMptJD1Ym30Hfl0nV1nnHVM+Dil1GvGKnaYldqqeJTQGXhkmXNMpgJLfAaPH6sQV9zL73RDNcHd8LQjsK2tqGrqI7AZaLhMRQTMg3ZVaXZPtLDg/46hlt7uCbp9gSozylZ5ros8x6yhODq3kw2/9Gw8LQK0i2WLIF0CHavYxTM8PXeGrOomaNf/tItvO6Om7nGVOOfkvOVzLI8kPN7TcUlS6dSVWOF9B58zSYS5jy7wlDNSkuWR5MGnZh0VOKRSCE6/fExJx6yOrOFc+fEg7uT+aMLEjJDQ2qmysxbYJsLhqockCNIBPrUE2mcSErIjIXLi4uhaukoL218s7JImTKPQjjsuWbql1L+S+7fPwA/DFxzivs1gIoQwgCqwGHgBcBn48c/CbziFPdR4jzHak3qB0XIOtriCtncuW2uNDEJ1KzCBVSPLcM17msPq0HPs0e6blOiiCjXZXlADvNMoRb9pEvvqDbKcTIyEmh2WrIsEjKLXsegJYoKWcXS01ymuVhfUMj0LMIC5ilk3eCYetqdFvqtAiEzo86CmXVz0VcxUz+SU+1JFZ90DiEsqpBVbZ3p0AYkjeZMOpuwGjVhuNhpZ8czWgk6TLS8dGwOkJKhPK7ZMsCu1lYqss1O/V7215+OvP7nYe33FbbLm721yJsXzWC4U1mwqunQibO1ErUp9WzFSlFv0l0IoFv0VW0kGtOyxjP9uxj2D/IicRehUU23S0qW+UDniVghc5wKH3rd1bRv+jD/Zt2E1OcTsrypP/kMks8vGUvkak7aDZp8ZjqyoHCpkqWZjV1b4DvwhusuYM3z3ggv+6OujwOs63MINZtZawRjel8aJ5ISMru7B3YpVOIRT2nZcpnEztI1XHl2KmRLliy7YAew5mR3KKU8KIR4H/Ak0Aa+iCpRTkkpk6vBAVQTwTwIIX4K+CmA0dFRdu3adbKHsmw0Go0zsp8SJ4bHpsJ0IXx492Mcmd1VePx8/tz8VpsW6gL/1W/c3rVku3efX7iwtyONASJE6LH/0FEe73JujJmAO4ILQYf7v/AJxkauW/AYgkjihyG9dAjMk7uodsO59rk9sdfDib+He6J1bNQzM7uPwZPmFkR7knXaOLqQNH2ZEjIvJFUxGy0X35imo9UINYev3/FdEIJ9B/3uw+SB0XiY91dv+xbjR0KqOeL2jXseJjAXVzoPNaJ0YXzy8UewyJQt2ZlFiBaNjs9dS3we02Mu9Zh8dTpeqvgcl/2px+qeh/cydbT764wd8fADC0yYGjvKoMhI1uNTgv25/Y8fd2n4GgiXjh8yaGfbHjg2wWNzjlWbDLk7ughQ+VfuyNV81X4xfP22wnb7ZsL0czEiD8MoErLOxEEslMk8iGAm0IkaEwxr6v2NU2eEaVq+5M5du9h/OEhjKgJ0bv/G17F1mJQ1LtTUzc6QnGRaG80GdMeELO8xTEJov/fAw9QHK9xDH/sDi5Y0mHYDvpt7v2MH/TT2YpoarrCZOD7OI7t2IeOxRS1p0R8XudKJA8BMJ+A78WtNjrmFkuLux5/gUKd4XhPo6Oxq7YBFviNDDhwIhxg6+AAGLwRISVE71PnWSf69W5oa54WAu+59kMYT7pLP8Trt9CZo34EjPHEWXWuW4yGbJWskksAR4G0nu0MhxABwM7AVmAI+A7xsuc+XUn4E+AjANddcI3fu3Hmyh7Js7Nq1izOxnxInhp69E+jfUhF5l1xyKZdcvbPw+Pn8uX320Hfw9w0i9AF23nhj122O3PkkX3jkW+nPrrAx4hyyTVu2sanLudkx1eaj98wSCYMrBjqwyPn7wBcfQdz9cX5F+xT8+qMrdrd5rn1u3/F3M/aEWuyekGu5gfvSx4xKnWf9wj9x9R98kfvsN1PDxaz24XtqATacHvyGugz39A3wrh98Np1ja9Arb2HnRepz7dx/hG/f/yCgVJi8X60iPBAaz7/xhdzpP8L0gXgRFTrPfeFN88KC5+LAZIvf/satAKwfHcZ6PFPIqnpEzRD01AeW/DzuCx/lyf2KkG2+YAvfjTnpmOxjB2ps0VXX3whrr+j6/Id4nN1PKNIpIp/h3HDsbde+jG2XZPvfNfMA7pginj200xmZABsv2MbGOcd6fRDy3rv/i8NykHVigu03vJrtF1w/7xgeOzbL+775BQCS4l4eQ47EmVW/66334ft16swyaPpEkWBS9jAipqn2DbFz507E7uN86V4VFGzYNXbu3MnQ7V9iul28edH7NuDNqu9A4g/0pY4rDWwRMHDJ8wkrk1z5sh9PGzX+csc0A80P0tdnsnP08vS12vcd5m8eul/9YPXS7LmQdZeRpGjQAAAgAElEQVRcy7r4nFS+/AVc4aQkeZw+xmSdYTFDfWht+jl/Zfp+Okcycn/RJZdz0TOK5/VEcNkTd7Ln0CYu8u9Iw4wTZavSP3LSf+89X/9v2r56nWuuey6MXLzkc4YevA2vra5VF1y4gwvOomvNcrosu0fenjxeBDwhpTwOIIT4V+A5QL8QwohVso3AwUVeo0SJObEXq6tk+baXXUJn6nfAml5wGxUMm93ltiMjLlkuXIZa3+dQ7+3loL6NTQfuWvQY9k20uLS5H4xJVd6c0xK/WiBzAcV7cmZsAGH3ULVVBEMHixouoW7nPCzFkuWl6+qw7umF18i39ycqTAFOvxqxZOocTT7v6tCSZAxU2SdEJxQG0munsxoBTNnBJFpWybJeMVO/VG9vPVXIZqjiSlOV+hbzkNlZdpjwGgxasxn5HJpfsmxGBmi5AebpQXcbcK1z5cZ+7j1yMWvFtxBzSpUJ8jExdhdCZvkz6Sgp3XLo+BYDoUdVD3AjK1OU4mPodYysyzL2KvVVLaZaRYtBUB0hiEOek5Llm2+4iPfe/dP8tvxrfut1LwbjpsJzrtjQh0qgKmKox06Def/XS69Cf/r7C52KVUunFdlpmbXe28NjrQ0Mi5nCuRus2RzM55md4s3WzovX8J+PXsZN1he5Xlc3F+n5sk6eYlRMnVZMyE7OQ3aOxF4IIZ6+0GMAUsrvnOQ+nwSui4eVt4EXAncBXwFeheq0/HHg30/y9UusEqzWpH5QIZ8MLpxiDUVPDEArMqloyaid7hciIQRXb+rnrie3senQ19T8vwXObaMTZKbf2cOrlpBFUhIHgKcjgQ7IYTVP0OrF1FVuXNrNqNkEaTClnctE6r7o5QnZUTmQdualuOxmgKKHbBmG/uQ5AIHmgF809VtRBxMBRvfuuTw2D1X5DGuQCHrWbOZI/L1o4NDGVon0i3nIrGwcWF20GBANHt34KnZc+rQ0oiOBbWiMh4qQpU0NCbp4yADe+rJL6Bz4TUR1/4KeJdMQ6UJtCV+NGMvBCWaoaAFI0AwbFxNDulREgIeZTcWIiUE9n0MWE7L+ilkIfQWIKkNpyGs1Vsh+6saL4eV/CPxh12NdCFdv7uc1L34envUurCteAWbRe1ixdBotm3Wokulwf51HGxu4TnuocO5Gem3ukTkCfYp5XS+5fJQ//o+n4QmLl2tKtU9HU52khwzihpfWCXrIDD1rdjqHcsjev8hjEmXCP2FIKb8lhPgs8B0gAL6LKkF+DviUEOJd8e8+ejKvX2L1YLUm9S8X+aBLABczK3ctciG6anM/X3v4Al5pNeD4IzB6WdftZjtB1ha/irsyI5l14l38tOu4b+bVfGZflT8wP5kuNo6hpblLke6kXZbCyIXELkDI8onkx2QXlenpP6b2ke+yrA7N364LMkJmg98sEDJbupgYy1JHdl40wuzzL0M851H6gx6OSjUmqEUFV3NA8xaMRQDosfU0j22jOA7AjqddB9e+Zd62tqmn5Gft3GiNBVSSZ24ZhC07F30Plq4h0QiFrpTkOQOwU0IWCgzToiNNjMjDMXx8YWVkOGfqb+AQIdDivKv+qpnmik3LKn2ihayN4CUesmT+6UkqUqau8XMv2IGyes9HYtbv0dV+1g72cf/+OI/NnUm3W9NrF79r2snYzTOs66tw0cZRdh39Pl6i3w1kER8LzZ1cDqrJ4HJYvkKWH/d0rhAyKWV3Y8oKQEr5u8Dvzvn1HqD7vIMSJbpgtQ4XXy6sLl2WKRYjZJv6+YyM1beDdy1MyNyAnrxCtkoRSUkS1fi/f+hKdu2/nG994l/Ug3EXnGPquL4659LIuiwxLCQagTAwFvhMtg7XuGLHVp5wX8SXDm7mBfo9ANzS+z/5/srDsP5qoBjyulyFTNcEwz0WU/ogZvNoGuvgCQtLuphSLis8UwhB3RbQM8LaSPLyqzZznDdw+8MbeL54GBxt0azAvEK2KSZkC70H28i65NbF45mSLKqFFLLlwDLUNSQUFhZBGs+QoBLO4ugBCBvbVNEbhvSoiJiQdSlZSjQ6okLVyAhZ0tl4W3QFL9fvRNbWpApZJSEp2unp/qvOCRke6e/NQminspHVa+pzCNkKEJcrN/Vzz+FtKSEbj0dsze12PRFULB1Pc+IctOURMts4e5P6l7WKCSGuEEL8sBDix5J/p/vASpRYCqFcnUn9y4Vt6AWFLE/OFrsQPW1jP3tZS8eowyI+stmOn1PIVrHlM6eQITTW9VWyHC47I2Sd+LOQhpN+FiJeqENhLqhCVC2DT775eg6/9K/5ZpQZuL//lz8CP/vNlOgUSpbLiLxIsKG/wmExgtM6lCpkDdGDjasG0Z+gWqNrgj997dWMvPbPudt6Jr5eWbRcCUUP2SYRD+GujXTd1ja0VCHboKmS5SEZv99lLsrdYOoJITPiaaPFkmUlalLFA91OozdM6WELn0BYWckyLp1VTF2VqvWezENWsVKF7L/ltUS6TTR8ybwuy9MVxzB3LurAyAYejWKFbOrJ9PcjvTYT5IaUrwBx6a+YTOfKtU+78YfhDf8Gz/6lk37NqmXgaxV1fMu0rVjnMiETQvwu8GfxvxuB9wI/dJqPq0SJJRGt4hyy5WCuh6wwzHeRC1GPbXDRmjq7jYvg4N0Lbtdwcx6yVTxqSXkZs+/h2j6HGWr4mp0alu04RR9UyTLIlSwhJmRLLA5Vy0gzwzAq88bKVCwtU2mWqZABbBiosC8YotI6lJr6G6KHinTjEOGTD88cqFp4Vj/0ji66Xc021OgkYHNCyBYglbahp9/lTYYaE5UOzj4VhSwmZL4wsfEzkp3DoJgBw1LhtJGJKX1sfALNyv6+YlIo4rT+jl5Lz+Gl63o5VtmGtOv80W/8Etpv7iO84Dlp2dokUMT8NE0eqZi5kGHd5tLLnsblO7axt/86eN2n0u2Ge2zC3LzVxUYYLRd91YyMAly6cRC23bis5pOFsH1ND7O9F84LD14Mlq7hnmum/hxeBVwJfFdK+SYhxCjw96f3sEqUWBpyFZv6l4OCNA/ZHTwsufhftamf2+/fwve5/4pwG/OMt1JKZjsBPWZZsozmKGR12+A3XnoJE+HvMHqRytDOlxOl4aQlKi02XYeateRnUihJdgkDdoxsDNJyPWSgFLJH3X5MrcUIiuDMUKOfMZBLH9di+PDrn07d/TDUFn+NmmWkCtnmpRQyM1PI1okJGvSkYainopBpmsDUBT5mYTwVwKys0CvaDMpJpZCZGi2pupYrdAg1O+chy47hhh0jTLWfzfpNqix481UbuPmqXwZ+OU2WM3VXla2lhiGi01auhJjUJ9+h4YtwbItPvvlZ7Nr1drbs2Jlul6iFKVZAScqHBwOn7EsD+K2XXwovf+8JPcfKTzA5yxSy5ZyRjpQyEkIEQog6cAxYne1UJc4qhNHqjb1YDlTsRfYnnigQwJJ3hldsqPO172zmp60Ixh6BDc8oPN7xI8JIUqc09UdSZs0SQiCE4Odu3A78fLpNvmSJYafKpdBtfvDK9UxH30/vhc9ZdD8FQtalM+37NvZx9ZVX45o/gr3jxcs+/vX9Fb4VDIEFW+PA0ilZ4yJcfFk5pfLZhSM9LGQwz6NqqcgJX+pq/qLQFixz5j1kQ3KSlt7LbDL/8xQUMlDqiS9MqvFg+Ka0qQmXA3KYS8V+BqIpMFTJshXFnZGyRUur5TxkWfPCh153NfDhRfdpxgpRgK4Gb5/G9HjL0LKS5ZpLlv/EFSCJ/RWzOLnhKbqJLnhrz5Xh4kKIvwD+CbhTCNEP/A0qUb8B3H5mDq/EaoIfRoSBjyNCsJZutS+WLEuFbC7mdlk+KjdmDy5xZzjSazOWmG5bE/Men+34gCya+qVcdUPeIX7bS5TOHTMrJ0qjkpYs0S3+7NVXA3++5H4cSy0kERqaNZ+Q9Tom73/tNZzoZLsN/RUOxh6srUIpnWNhFUuEiLB1Rhatmm0AgiaOmrO4SI6aKlmq73VdzjCtj2bxEqegkIGazehJI80Da2FTw+WAHOFS9jMQTYC+BdvQaYYG6FCNGsxag/NiL5YLI85M8TFw8FdEOVoIx2ddLkpuYge3Lbn9hOxhUDRWhCT2V+dEfpzG97kYFCk990Yn7Qb+P2A90ESRsxcDdSnlvWfg2EqsMvzh5x9i++6P8npzF/zi0jF3UVSa+heDNadk+WB0QfbgEoRsoJrNxKM1Pu/xWTegRgdNSI7KAUaDSWhPpkniqwkyySGTLEzIDB03LWk5hS7L5ULNIhR4wsbpQshOFhsGMkJ2oVAK2dGwFwwwo/YZWbRsQ0MIMkK27spFt82X3z2zNx1RtBIKmScNqvGQ75Z0QMyk56ci27GHTGM6UoSsEjaI9O4ly+UgIWR5kn66cHCqnWW39W9ecvtJ2asI2QqoWf1Vk2l5FhAyXWPqXBsuLqX8Uynl9cANwDjwMeALwCuFEMt30JUosUwcnGzjtA7C1L5lbV+MvVh9ysxSsAyNCC01DB8jVwJa4qI/WLOyOXfdCFkni7xIDdW5HKPVhEhSMPV3g2PqyuQPaHlCdgLqkxPHMvias+BA+ZPBxv4qE/TSlhZbYkI2LnMddmdg0RJCICWZ4rr1hgW3VR6y7PsbmHVmEm/SKSpklqHhSiMrWaJeb7/MjW+OPWRJ2dQJG0jdzkrSJ3gMScky+06cPgK8baSHwzL2Fy4RN2FoIlO03NlFt10O+ioWs+TOzVOokJ2tHrIlZQUp5T4p5XuklFcDrwNeATx82o+sxKqDF0bokQ9RAKG/5ParOal/OUhylfx4oQjyf+5LKWQ1ixmqRELvSsgauVDYiYS4LeMzOx+hPGSLK7W2qanwVUCYldzoluWTHUPXsAyNQK+cUrr5XNQrBj22ySE5lCpDabkazuii1ZfEqCxGyAy9kKlXrQ8y238Jsr4Rehbv5lwKlq4IWS0OaE38Vk/KNfjxeCPlIcs6PTWimJDN95AtB5om0DWRBQSfRqLygddcyXN+8n3wE1+EdU9bdNuPvvGZ/N/1v4rceC2smz+m6UTRVzFRI7FjPEXXbNs4B4NhEwghDOD7gdeixhztAn7vtB5ViVUJL4jQIk/9zfpLl0rK2IvFYRvFO2+Jlo30WeLc9scXz7bRT62rQuankRepmhK4K3fw5xAimbuzXeB7eMnaXtqHLgbjYoRhp7MLT3RB+IMfupyW9w4GNi8+NutEIIRgfb/DwYlhtqE8ZOPkCdlT4LNZuzBZmFuy3LRuLR94088CP3vKu7UMjU5kpHlgrTgiYlb0cJw+1jMBujnvGKThzIu9OKH9xqVSBKf1fNcdk+/bshZYu+S2z79ohOdf9CPAj6zIvpMbxBRPkUL27G3DHLr8+UjjScTQyv0drQQWM/W/GKWIvRy4EzVj8qeklM0zdGyrBp+47QmunPwiV6814ZqfeKoP5ymDH0ZokQ86ipA59UW3LyoTpUI2F0mukocJQufCkRr3TG1noz4GQWfR5xq6Rl/FpKnXuxMyN6eQJV6z0Ju33WqAlBIt9TJ2L53/1A3b4IbfAn4L6+t7ch6yEysHvvbazcCPnvzBLoAN/RUOjGe5X2P5kuUZ6kT7vR+8jLsn/phnrNEXVU/ypn4AnL4Ftz1RWIZGW+qpqX8y+W5XhznmDrBeTIBux12zGZkWuhqlBJyUj+3y9XUeOLSVrRw9rbEXZxWeIkJ22fo6v/P6lwAveUr2vxgWOyNvB/4R+DUp5eQZOp5Vid/7zwfZ67xV/bCKCZkXROnoFoL2ktuHEbmFsFTI5kIIkbbxoxn801uu48vfez9oX4JN1y35/MGaxXRYpzZ1jOrRBxHDO9K797yHbCJZvFdpyVKmCtnyfIzmWThLb8NAJU27l0IvBHieqWN843O2Aj+z5Hb5HDJgRQmZqWt0Ip2Krm4urrjxtbD17bQ/r3P0SOzBjE39hVFkpnPSJUuA5+4Y5hsHruAm/Q6YfOJU38a5gaeIkJ3NWMzU/wIp5d+WZOzE8bbP3sveT/06fPck8nP9xZWL8xluEGXDjf2lCVlZslwalqERYIKmM1p3eN3zroDn/NKy0rEHqiaPNmzMQ3ch/vJ6ol3vQYYBRFHsISuWLGXo8pm79uN977NdozLOV0RSqmDYZX4HTV07aYXsdGFDfzXtJJS6lcVIwFmXZq5K8SIjRCupkM2Jitm2bhC23sCaXpujMiZk8eikPCkc7q8TDl9KNLQDhpaOk5iL524f5hvRFeoHv3VK7+GcQUnI5qFcxU4D/vW7B+jf85/w2K0n/uSJPSt/QOcIvDCnkC2DkJVJ/UvDMjKF7ESRdFpaQg1Z/vJttzHxoefDV9/DbMdnUFc3D0nJcv/YNO/+7G1Y//fNcN9nVu5NnOVQHrLlEzJDF2ck4uBEkI++QLdp5LvhzpJjTGAb6tylhMhe3NpwIqjZBs18gHJcPiwQMiS2WSybrh/q529/9bVov3AX9OQ6MpeJKzf1c0Ce+PPORaQRJeU1ex5KQrbCCCOJH0qMyD25Es7Y7pU/qHMEfhhhiuUrZCqpv4y9WAxpyfIkFMRCFhmw2xum1tgLY4/QcAMGjQ4SkZa3vE6bWhwXgLd6rKYy8TIu8xxbeYXsLCE7G/qdjJAZNhEaM8nCeZYcY4LEHJ4SohVUyOqOUVQH4xmOQz02x+hXv2tPzlPITjX/zNQ1PvbGa3jipn+GN91ySq91tiMj++U1ey5KzXCF0fGVmqAI2fJNzkfkAGvFJIw9eroO7ayHd1Ily9LUvxgsQyOITk0hy8MM29CZZlYLGNA7hHoN141jNXwPJ5kBuIo6LtOS5Yl4yOTZV7I8ygAhGpphoWuCWarUaZ91hEyPZ06eDkLW6xjMyhwhi/9uBqom9yQKWWsi9pDlzssKfI4vuGQUeOkpv87ZjLpjsDdcyzp9QsUblSigVMhWGG6gCIIRecsiZFIqhSdMPopTVMj8MEIGnnIan6UII8mHbt1N+6sfhOkD6e9P1NRfyCErPWRdoUqW1kmVBwZqVpYxBtRpohMqQuYG9OsdQrMnVXsCz1WjX2DJLs7zCSqgmBPwkImzTiFb02sjdJNJfQihW/Q6BjMJMTlLjjGPQhbZihIyk5m8QhaXLAeqFscSQtaenN/peYoK2WrB537xeUzd9Ddw0wdPymt3vqNcxVYYHT9EI8IgQIaeIlyLkKMgUo/ZyUI2fvIK2VTLY8c7Po941wjc8taTfp3Tja/tPs7f3Xonla/8LvzDq9Pfn7BCFsklZwiudtiGRnCyHrKqlbX9A4MiTuvuTDPb8amLNpFVTzsGA9/FJr4JWUURGJIT85BdMFRj2hwhsnrOmkVJ0wTr+iqMG6Ng2NQdMyvdnWWmfojDPUV8XEvE45wI6pUcEYW0q7ivanJMJiXLifmdnmeJ0nm2Y9Ngle9/1hVwzZue6kM5K1GuYisMN4jSRWnfsSm+9Oc/B5/8wQW392JFLVWGZg6d9L73jDWpE3t37vzISb/O6YZlaBiJsjW5N/29F0bYIjH1L91plJqpoTSILgArIWQnUdLdNFjlAFk21ZCIRyN1plWXJW0iqycdQxL5nVzJcjUpZHHpfJmE7OK1vXz1D16H9lsHF53ZeKbxludtZfb73gjX/MQ5oJBpBFp8XCto6u/NE1FIryvXbR3i8u1bmd36MnjN36+4h6xECSg9ZCuOjh/ixIQs9D2qs3vBWzhXJilxpgqZ21jWfr700FGOPPA1Xu98E37gAyAE0y2fNWJKbVAZ6Po8KSVHZjqsYwLq658SM7wQZAt3TLykVM0QppEoZEsv6GXJcmn0OiZes/ekZh9ed+Egn/yNH+UH/qyHP+W9DEUZIZvVfGpGE2mvTUe+hIGXK1muHg9ZOlz8HG8secP1W4C3AFC/546MmJyNhMzUCQMbjPqK3owpD1l+3qIiXRVL5+9+8jrg02r/sy4BOqEUyj9YKmQlVgDlKrbCUIRMLUq69BGRD/7CHWdKIZPYaXdhE6Joyf188YGjNO+/Be76WNrNOdH0GBVxbNwChOy+g9Pc/Ef/An9yGfz7zy3/ja0glIpY7ED1wkQpTM7DchSyfA5ZqZB1wztvvpwLX/2H8KqPnfBzhRBsHKgyZa2lEVmZQhZ6+F6batRCWr2pHyryvfRmZFUpZFGi1J7bhCyPgrn9bCRkhkak2yvqH4PEQ5a7eVlgjJFtxlloSRhsqZCVWAGUhGyF4QYRdqz+6DJAj7xF/VBuEKbkJE3HXoTA5Z9nyJjUxH6dY7Mua4gVMqe/6/PGmx4DiRfonn+Aw/cuua+VhptTERPMK90uM/ZiqZE1qx0XDNXYtGU7jF520q9RtXRmQosBkam3mjtNJWoinHpGyAI3R8hWj0IWydjLeB6ptPVKztx+FhKy/qpJYPWf8jDxuVioy3Iu7LnRGyUhK7ECKEuWK4yiQhagSw/wIAzSTJs88kb2CdlLv2iosqXdO2/bPNwgwpDxIO6UkHWWLFlGkcQgzH7x+Jdg3cKDfE8H5ilkUuYIWayQLbPLshyddPpRtYpz+wDqooUVNnGd3tTULwMXJ5ktuooUMgloJ5DUfy6gQEzOwnLcn7zmKozOn8IKH5pqZsiXLLsvkZauIQTZ38VZeI5KnHs4f64gZwk6fpSqBIYM0GSuFNkFeXKShnAuI1TTDSJMGasQcZ7LsRk3K1kuILX7Ya6TEVZEyej4IR/7+mNE3/zzZSlbrp+piOoFpvFDiSDCjFPhI6/NPU9Owv47F+xSVYGcpan/dMMxdVpzVr4hZjCjDprTh0QjEgYy8FalQiZP0NR/LmCoZjEtYrP8ScxmPN1Y11dhZHQT9G9a0detOwZNcmrXAtdRIURxnmWpkJVYAZw/V5DTgKMzHT686zGMg7dDZ2ZZz8mXIA18pWLBgkTFzWVvpZlP3uyy9pMSq24K2QIKhR/OUcgW2O7QVJu3/v3XCD71Y9A4nv7+g7fu5tv//B742vvS33390TH+7+dvQfviO+DxLy957J1gTsmycbQYeQEcPD7BO//y4/DRF8P+b3V9nXK4+JlB1dJpyyIhWyfGAdDiyIFQGMhwlXrITnB00rmAH73uAl75Y78Er/8s1Nc91YdzxtDrmMj8srhIXEwhi6xUyEqsAM6fK8hpwHTb5+Nf+BbPffSP4Tv/Z9Fto0jy1199nJGH/o4LtCMAGAQZyVhA9XKDMI16SAnZMjotXT9X9osJ2dEZlzWJQraAQhFEEYbIE7Lu292xZ5wDD96O8fC/w77b0t9//r7DVJ74L3joP9Lf5TtL8eab8Y9Md7hn9xOw56vzjx1g9jBeGBYIWafV4AJxVP2QC4/NozT1nxlULJ32HIVsgxgDQK8oU3WkmRB6mfIZdJbM4DtfoLp95XnlY+yvWjzrog2w48VP9aGcUTjmnCVR666QQZyFVnrISqwgSg/ZItg0UGVYTKsflhj6/eixBn9xy13c6/wRtr4DAFMGmEsEnebT6SdPsGSZETIfKeUchaw70fIDOadk2V3JaLoBPcTHPHs42zySiCgszOkszqCcT8j+6quPM3TPh7lK/hO847AicPmS5exRXCeX0g+EblONkgJoTXQ9xjL24sygYhq053jINiQKWSVRyEwIfJxEfQ1cXvORO/h9/wNcumkN3PwXZ/SYzySihIuV38FzHmIuqe7i+01gmxqeV3rISqwcyivIIqhYOlurMbGZXDhLDKDth1RilWgYReJMAqxFiArM8ZClJculFTIvF0BL6DHrBnT8MCVkY1MzPPDv74e7P1l4nh+pKQLZL7oTstkFCFkYSTRZJGSFkUddiGfDDTCCBsgQvOZ8U3/jiMogyx1X5LcZFTERa411PcZshiDlYngaUbV0WrKoAOQVMl0TBMJE5EqWMuhw34FpBqcfhLHHzvgxn0lIqfyP5XfwPMQSJUtflISsxMqhVMiWwPYeF6YpJMp3g5tTfUZiVc0QEU7iIVtA9eqqkLnL85Clqfahx7EZlx7aVIUikM1Wi54HPw3jg/CMH0+fFyzTQ9Z0A2oifmz2SOH5QoaF0TiFRoEuxNMLIvTIV/TfbxV8dmpnx9V5EBkhE347U8iaRUL2z9/ez5pDt3Lt8Yf4WtLVV5r6TxvyJcuONNEErI8JGXYdU28rhSzKFDLpd2j7IX3GOPiDT9WhnxHI1EN2/pQsS8RYomQZCEu12Z6F0SAlzj2Ut3RLYHMlVnymnlTRFQugk1N9ElIEZCrTIqb+eR6yEy5ZBkw0vXTWYITAxMMI2/OaEfwwwowXzUAYC5Y2k9E4QBeFLCgoZO4SMygLCprXouNH9Jlq+47eC+5scRtADztZx+gchewf73wS4/5Pc83hT7HWbCllYoUDIktkqJh6WrJsYTMjq6lCpgiZRiAMtMhLb0pk4FKjjSPby+q8PZeRecjKy+l5h0UVsnh8k+GUZLzEiqC8giyBDVasEkUBzByc9/gjR2b5tb+9hUtvfSPrxHyvk7PEbMZ8d+HkCZQsi4TMU4QMRcjGtSFM6WNGHXBnuGf/FJ/5wpdh1x/jB1FaGnS12oIKWcMNqYmEkB0hCCNk6BOEkSpZRrmSZZgvWXZRyAqPN3GDkJoWEklBy+gDt4EXhtjxcfmY6FEuwmOOh2yi6VH1p6iF02wxJqE6XCpkpxEVS6cVd1l2cJiWVWrJTYdTx9I1AgxE5Be6LFM/4yogZOI8S+ovEUNbeIm0DT0mZGW5ssTKoCRkS2CNkSNHXXxkv/Lpe7hm71+z5tg3eJX+1YVfaEEPWVa+a2MTaM7ySpZ+mJGc0GOylSXwH2MIGx9LKkL25k98m7W3/Tbs+iMGph9Muyw7WmVhhcz1U3VPzh5m+ztuQbxzmHeH759fsgxkmh+2kEKWjoaKFbKa7uMJk7ZWjRWyzEM2Q40abUaSqQNzSpYTTY++SD22g70rntZdoggVDKsWHU+vcFTmQoftXkxdwxcGepR5yPQwR6iXMZMfm1EAACAASURBVAbrXEYkQROlh+x8wc1Xreej4n8suV1fxcQz6qU6X2LFUHrIlkA/DTrSVEpXFx/ZkZlOqowVhtLORZc4CCiW81xMPL2KsdySpZl1WU62PAZihexQ1M929iBlAG5AX81g3FPdcBsm7uDeuGTZFtVFPGQhPbGHTLizVFH/fym3s5dNhfKtiqxYRCELigqaG9hURICLTZOYkOVUtMmoynbtEAABOkauZNnxQxpuwKCt3utGfx/0PG/J81Xi5FHJBcPqdg/fci/l2fqD6kHDwTI0AmmiRX6mCAMbiD+381whk1IiJCUhO0/wp6+9Gvh4/G9h/PYPXkY4826wl75elyixHJRXkCXQE02zW24kEobykcX46Dee4D3vezf/5v8MW4QyvScEpisWS+pPFjHdwtWqS5YsgzAiiGShZDnZ9FhjqH0cCPqxRVw+khHb+zU6UnmANk/djqMpMtUSCytkhS5LYJM4lv5fl8EcU79c1NTv5k3/cZdlRfgEwqJJBbzZgqk/naEH7BUbVckyHrg+0fTQCdO5iob0S4XsNKNi6bTj70+l1stt0eXZg0Jg6gIfA10GWecvsFmLvzNBO/38zkfIUiFbldjQX2Hz5gtOaU5siRJ5lFeQJWC5k4zLOm2jDq3x9PfffmKC0al72KwdZ4umAkz7WYRILZJDls6+tCp0hLOkqd8L1eKWErLIZ6Lps85sEaIzJosSuuxM0ysUUdo4+z0GhHr9FpUluizbRFL5YraJQ+ljqYcsDv30upj6/TAiDHyIwnkKWccPqQiPQLOYlc48U/+0rKX7uj/crOIyOqpEOdH0GJh7nnvWLHq+SpwaqpZOOx4nU6/3cY/cXnjc1LWYkPnpdxlgY47En8/J/WlAcUnISpQocQooryBLQLQnmBG9tPR6wVy+f7LFJnG8sG3i4eqKBUqWbhBS1RWZMW2Htqgs6iH72u7jPHDHf/M87d5CMOxkSylkbaOPDsVWbdmZTjsmdRmySVOlpOYihKzRCRjUXQ4xBMwhZEkYazxD0+2SQ/Y/PvxNnviLV8K//zxefsxTkkMmfALNZjpShEx1f6ptkoiFsdoOvhHGd58xGR5vegyKOWOsaiUhO53Iz7K0Kj0EGMzQm0YCWIaGh4Eh/cJIrM15QnYely3Px9FJJUqUOPMoPWRLoTVBU7ucGdHLSHuSu/dN0Dv1CGsn7mLjPEK2mEK2sIdsUFOeLsOq0PQq4DVouAF/f9uj/JRxC9p1Pw1WDSklP/axO9nr/Ah/l4+9iU39Q1qDjtaH2y5m4sjOLHWR7b8n9oM1YkL2xQeOsK1xN9vW9MLWGwClkPWZLvuCNWzUx1Ly6UsdPTHwhx7o5rykfj+MeODQNIOVB+DJA3jhq7FEXiFTqmCk20wHjuqyDKK0y1I+7XWEAzfwtZ4f5uh//Kt6XnMMhncw0XQZmkvIypLlaUXVMtKSJWaNe3/vJRjBA2Ao9dTSFSHrlQEV4aWey8INi9+CmNwvhLd+9nu86PDf8szwHtj59dP0blYeMlXIyi7LEiVKnDxKQrYYAhe8Bi29zhS90Jrgf/7l7ex1foSPAk1RbHdevGS5cFJ/RQsgAtt2aHo2eFO8+3MPod/9UTTz46pk9/zfYM9Ykzpdypmxh2yAWVxzAG/Ox6p7M/SJFrOyQq9o0yPaIKEpbUK/w+//w63cav869I3AL92LBBpeQI/Z5hBbAVLy2cZCl6Hq8A89oFYoWY5NTtH6wvu5lAqD0QRMTiLMdk4hS4JhPULdZsq1QboEficlbT/wohfAwBb6Hz7KhFTNCEkW2Xgji/fwpI4lwrJkeZpRtTKFDKtK3TGBrCxu6hqdSMckwBE+07KGwxRrxSShFGqawjIUsoePzPLKmd3UeHLJbc8mRBIVe1ESshIlSpwCSo19McQlStfoZSKqQbuYh1UTLl+xdnJPdCGwhKk/5wuLIskt9x2m88DnMTsTipDpFlXHUp2aboM9xxuZkT7OwrljzzjP1B6e/9qhz0TToy5ncO1+XFksWZpBkz6tzVhMbqrCJRAmrcgg8jr8uv6PVGRbNS2MP07LC5ESHNlmWtaYpZqqHR1s9CTpP+60zJcbg+YEm7/9Lt5qfDreu2RtcDArr/pNXD8ucRoOE4Fa6KXbyEibrn63ptfhmOxXv5tR4bQTTY8RTRGyx+UG9VhJyE4rKmYWe4FZnfe4aWi0Qx1TBDh4TMme9LFDchiAr//z++BTr190PzNtn0rYQA/PLb9ZmkNWlixLlChxCiivIIsh9i15Ri/Hwxq0J+dt8tyb38IrvHcxnoS6xgjlnLvlnELwka/v4Z//6aM4n3kdLzj+SSrCB92mx9aZiWzwGow13GyweUWNnrn98XGu1x6cdwyh7zLTCegJp/Gtfrw5HrIe0aYmW4zFqkaNNqEwaEYWJj7PNXdzd6QGovP4l2i4AYIIO2zS1ipMyh7WxcOk29LKBnrHnZZeLqR2TZwddp32ULr/TeH+QlK/G4RYeEjDYTpUUSGa16ASl26TMSSbBqocp09ls03tAxQh22ApJfIxNsZvsCxZnk6M1h2ec9E6prb9UFrSzsPSBa1Qw8LHxmOarCljr1Sfzaaxb8Cj/73ofmY6AVXZQI8651RXpiw9ZCVKlFgBlFeQxdAzCi9/H0edbRwLVGaXg8veKCMAxuBmdE2kRvQEs8xREuKS5XTL5wNfuJ8/MD4BqFFEjhaCYdNrm4z7yuQ+NdtkmNgrFY8p+u6TU1ylPT7vMDuuC0gqwQyBPYg7h5ANMY2Nx3jcfVmVHSJhMOOrj39QTvGQ2M6YtREeu5WGG1BFxWGERg9TsoYRz4zsYGWzMOO0fi/MIiu0eNi3ncuj2iIPFIasu36EJT2E4dCIu/c0b1YphQCGImR9VZNex2TCXJtmwI03PdYaDZp6nUl7I1i94PTPOyclVg6WofHxn3gW/W/4O9j+wnmPm7pGM9TTxpF8l+yTMSEblhMQuhCF854Pyoc10/apRbGSfA6FyaouyzL2okSJEqeG8gqyGHpG4Nq30KmMcsRXBGtEa6ZJ9wCifzNVU09zvhI0yEJiXeGkC8z3DkyxhcNs0lQJUIs8lWJv2GwdqfGgOwJIBtwDmUIWP7cxJxssQafTppc2mgwInYF5hGx9rG6lJUvaRMKgFSmvmS59an1DfE9cDEfup9HJ9iPtnkIJqo2VK1nGhCw3jimPSAqmzFEu5EBWsvSadIIQU7oI00nPk+bNpvloSckSYPNglUPaKEwqhWy84bJGm8XpG2XnT7wT3vKlRceblDj9sAyNdqSnobAzOYVsn1Tl5OT79N09B3nFO/8P0R9vgYk96XZtPySIJL2JR3IZ4chnC2TiIStHJ5UoUeIUUK5ky0CPKZiMSUmvnKEWdylS3wiVfhwrG76cIJ/a3xA9aezF+JwuQSdoqOwmw2b7SA+Pxr6o7eIQIykhU4uZG4Q4wieQxY/NdV3648iN0BnEkwsQsrhk6cgOkWbi5o5ZOH0cCVXWWrPjK+M/IKzeQgkqRMeYW7IMi4PBE0xoA+zRLmCLOJo+Lr0WfigxIw/NrNCIz5PmN6kkKpqeHf+mgSpPBMMwtY/f/bf7uP7gJ7i2cxv66CVsXrcWRi6et98SZxZJDlmCvEK2TxbLybv3H2e0vQetMwkT2SiymbYqk6c3HMuY53q2IJJSKcOlQlaiRIlTQHkFWQZ6TMFU7BHrFw3qmov7jJ+Gn1azK9VoGVV6S7xkeYVsVvSkpGq84TGMIlquVsGJGqq8p9tsX9PDHrkOgCu0J3LDmVtIKdOE+3HqhePz3Q514hKPUy8oZB5GTiFThMzGQ2pGwfwvKv0c8WsQurRaM9nC6NQLC6yFn5Yl8wqZ1UUhmzBGmYyq9JB1WUax8mFID93KFDLDb2BrofKP5brVNg1WeLgzqIakf+vL/Jr5WaKLfwBu/vC8/ZV4amDqGr5ciJCtLWzbaEynOXKf+OpDNP7tV+HIfcx0fKXyJt+tc6xkKWRJyEqUKHFqKK8gy0CPBZMohWyEKXTpY9dHoKY6yKpWVrIcj8uCszLzkM1QS0cnjTc9RvR4CLixASdsqnKeYbNpsEpoVDmqreEG7d7sAPw2fihV56Pw5yXxR2E21FmzqgVT/3E5wHqhIiPyz5PCKBA3s9bPkUAdczA7Ri3uGDUrvUyRlSztvBIWE7J8l2UCT3OYskaZCi2qopNTyNR50CMX3a6mCpkeNHFEUChXAmwarLI3VOf5PfbHEIaFftMHwCmS0hJPHax4dFKC5G8l0u2sSzZGq9FIZ64+uudxeu75KHz85cy0/UJW3jlVsoSyy7JEiRKnjPIKsgzkS5YbYnKDlakAjqmnpv6WqDBrDHJYZiGYE7IX3AZIyXjDZaPZJETjiDZKVTaVemTY6JrgwuEaD/nreJqWlXPw2+m4JAs/JX0JIt+lIhQh0+1agWgdk33U4/LjWO55UjcL21k9/eo4gbAxlhq0zWq94CHLJ7Gnpv78PE7AM+tMv/RDfGX49Uz6FnVaKosK4tKtxIg8TKuSKmRm0Ii9dMXS76aBKvvlCACXsBfxjDdBb9lVeTbBjINhEzwu1wMQ1tZm+WUx2q1ZhuLyem+i6rozTBzYzVZxONvwHCpZqi7L0tRfokSJU0N5BVkGaqZQwbDAxi6ErJIbLXPJxjUceNXn+Ivg5vTxQ2GfIi9eg/GG6hJsaHWmZZWqbKmBzIZ6fq9jcEQOALBbbmLSWh93JiojvSW91AuWQIY+lbgrUreraSnSw2QqVz4azz1PakVCVukZZDImZO7M8dTnZvSOFDxkeeKVeMj8UBYUMqt3mJFnvYapvkuYjWxFtBL4zVRlM50qLWwkAmsBhezCkRpPxsZw2TMKL/o9SpxdSEYnJdgdqTgS2TM6r8HEbc2mI8byitj2W9/M+82/yjY8hxSyqEzqL1GixAqgJGTLQI+lSjJtUemqkFVyJUunUsMc3MRMLvbiQBATodY4Y02PNfoMDWPg/7V372GW3XWd79/fddu3und1dzp9SeeedIIx0EmgSWLHkTsKigLieUTJkZk5I97mOQ6Ij6LIjDjjQWRG5TrDGXEQPXpA1CCjtDgDAWUgQAghIQlJp++Xute+rLV/88dae++1d1V1V3dVetfl83qefrr22mvXXtW/6lXf+v6+v++PiWaRiptNg5ksEPnBW3fxP4PbcUGJXw5+gTk/rT+rxU08mvgkCzJkLu7sIegXOlOWDa/IU67TNLXrdV7YtTK0MrylXZsWT59gbzQFGOHwZUtnyLIpy1pWQ9ZebJD1TStHAbNZbV2LNbIAFIiKZRweDb9MEM9SsdqCDNkVWyp89E0vpPHGf8B+9gEIuz+f9F9vUf+ZVo3j4A4cXmfbJaA+P8uWrJ3LcG7XiT3uSKdmEtZdQKZO/SKyUgrIlqHoQ+gbkwx29q+MOkFKKepMWRIWF/yAOkGa8WLuDGdma4wxzXw0ypmkRIUqBTffzpC97o49/O6v/hL21qMcifZSo5BmyHIbeJ/NNaGNLcIldYrWCnI6U5ZBcYD/kryofe40JWqt4uueKcvBkS3tz9ucOc2ucBrKWxiulLsCssVqyOpxQsmLO0FoOZ2urUSdxQ7p+1ewuNrJkBVKmMGZuMD3zN7HgepnYfy6Bf/+N+8cJrz8uyAsLXhO+i8KOt/vzcp2EnwSC/CH0wUq+RXIcW0mlyHrBF2tPndt6ykga6qGTERWTneQZTAzxgcKHG8OnnfKkmCRgKxV2Dx/htMzdYabE9SiLZxspK/ZUjvc1W3ezMAs27ImyjJkSTuQmaPQbqtR88qQ1BnIArKgUG5PHxVKAzzB5TyerXRzeJ2Cf7+77cXw6BamKNM0H696hh3+BAxexkg57CrqLy4xZVmwpLO6LgvIyoWAWdeZgpxkAC+ptRcMeGGJe59/JZ8feyUT2+4g/t63wY/8l/OMhqw1nhn1LND3Rnbxjh+8mZmX/C7e7T+1oGlyUptjLAvIhhfbl7VlHdWQgQIyEVk5bS6+TOMDBU7MDXOLnwUkhVyGLPQ70zJZQNbEI8YjoMnxrCasPn2aufoAA+FZ4uIYE80S+OC7GIZ3LXjPUuRTbRSgMU2t0dmeqE7ILCUGmafqldKAzE/rtMJSrqg/LPHAr76QWvWLNNwUvPOr7WDN8hmyaJCRSgkw5oNhwtpZxqMJGLickVLUVYeW9+XP/Cm3futT1JOXUwhjTmV1dpTTKcveDNlZV2GXwWhrE/agwC+/fB/wrmWPg6w9p2dqaQ0VwPAufuyOK4ArACgGj6ZT49lsXuRq7c3hu1ZV5jQxvPNkyP7igSMMHP4s9wwfgzt/blW+jouV9iFTUb+IrIzuIMs0PhB1t5vITVmWo/zmyyUiP/1njbPgp5Uhm5s4TkhMIZkhKY13tcZYLCArhj5zLuLs1CT+P76Xfd4TAGmHe0tfW/UqWLPBQBYoFooVwGhYCFGFwWLI+MgwwcguzGgHYRZEnT5kxSEC32OkHDLtj1CKJxlpnoaBy9g+VGDaBphzhd7LY/fJz8IDf0ShWSUkZqo3Q9ZTQ3Y2e35rq1ao0L3/p6xPRybnuczOpA+Gd3c9V4qyLG9mC1OULV2AMrRIhmzKlalb8bxTlh/7p6eIH/gT+Px/WuHVr1y7hkyd+kVkBRSQLdP4QKF7dWNP24uuKcsgvTHHBDi/wCQDOIzq1CnGWvtTVsaZzjWPXTRDFvqcqHowd4abv/pv+VH/MwD4YZE5WgFZCWvGVLw6+AWiMA0CY4u6aq7MjMj32l38uzJkxfTrGitHnG4OsIUJKo2zMLidbUNF/uLn/hnv3Pt+/mv8fV3XN5RlusZsioLFnLQtxIVR2H5z+iUWfOZcJyBrtdXY0frhXVAvsY3g4HXbeMBdnT648fu7nsu3hIHOrhEAw7kasoeau4nxmaKcbjV2ninLOHF4Lm63XumnptpeiMgq0JTlMo0PFnoyZN2rLHunLAFiCyCbvqwFg8Qzpxi3tFbMBrYx7c50Pt/QzgXvWQp9JuOQ0SD94TRi6d9eVGQuqdBoBtSIKCTzDHgN8DrZucSLIOze4LwQeNSbi0xZZgHZaCXiyEyZ59hj6Q+7gbT27Nrtg0yVr2CW7qL6KNvTc5wpQtfgVc+/GV708fbzvRmy1ubmO1o/lJUh2xB+ZP8ufuC7/zXwMwtWwZZCn9grMOcKBObY2VoUA53dJYAn2MVYkDDTCAmtzvB5MmRxs4nnGpAs3CHiUnPOpbkxBWQisgK6gyzT+EBPQBZ2F/VXc6ssA6+TIbOgQCn0mfWHmTh9gjuDB9Pztl7PdLs1hsHQ5Qves3e6p9Xh3A9LVL0yDUIaBHiuQdnqEJYIfI9C4BH75Xag1RIFfjsI84KoU9TfCsjKEcfjCmNZ4JdvwOp7RrzEt8sWm0x/OAbd05pphqxzrPXv124dooBsQzAziqG/aEuSUuTjwjITVJij0Bl7IMwC+qnxW3lq+z0c23IH3/SuYX4ZU5b1xKW1l2skQ2ZOGTIRWRllyJapq4YsKILf+acrRfkpyxJmRugbiYXg+4yWQ6ZskJkzx/nx0qOw7TbCbdcx476Vvmbwsq4NtVuKoc98LqBptQsoFMvMzQ9TbZbSgKzZoBQ02lOUH3z9bTST98K27qxbIfCo1zsBWQOfJh5eFpDduGOQb35rT+cFA519CEPfiPEX/bfZapN4LlnQ1LU3Q3Yq60+1y8syg9r+aMO7fe8Y1eO38bknihzwvt6esqy6sL1id+gNf8Ybs4UgP/PvP8Mf1N583oAsTpprJiBz6kMmIqtAv9It09aBQjugyE9XQs8qyyxLEPoeiQXgh4xWIp6cL3KTe4Sd9cfhu1/HYDHo9O1aZLqy/XlzGbKRrAj6R59/DVe98pf5nZE303A+vovTrZOCNCC789pxxm64C8au6vp8haBTQ+YHIWAkXqGdIbv3ziv5WHKw84LeDJlbPCBr14T1BJWVKOhaZXkyC2gvb7cOGUA2tl9++T7uufcdvM37V8y7qL1rw5O5hsUEne+Rcut7Zrk1ZC5JG4H1kWrIRGQ16A6yTOODhXZAsWhAlivqh1ZAFkJQYLQccapZYdDmcUERbvohBotpDVdiAQwvEZBFXldBdGuKZ/fWMW648SYeLd2STVnG6dZJ52mcGgVee8oyioq881XPYvYl74bb3wjASDni7a96Nu/Z9uuw5wAMdRYaBJ63ZIbsMrKArGfKslzwqRPQyAK5Vg3ZVs6mwZi3+OeTjSe/8GWaMmfJTVd3BWTZQpDzZMgaSZPAZfVjfc6SqVO/iKwGTVku0/hAgSkqNAgJezI7e8fLnPbGaQZFvCwrFfoeiReCX2CkHLY3J7cbXg6lEYaSJjdcNsTZ8DbG99616HuWQp/jRAufyAV9NQICl22dFA4vPDena89BP+Q1t+0B9nSd85rb9sBtPwv8bPdbektPWbaL9P3ua61EAWDMUWCYOc4yQOIs3WhcKyw3lXLkM19PA7Iz3hZqSatBcQSe13XejCtCfQ7nHI+cmOE6Owxbb+gKeBrNbMrSSHeMCBa2ZblUnFNjWBFZOQVkyzRSCvE9j2l/hLGeDNk12wb53Ntfg8er2z9cIt9ISKcsxypRu+UD3/06AALf476fuxu4e8n37K0ha8sCn9A36s10yrKwjAxZIch16vcubOgD36O6ZEDWmrLsDsiKoYcZzFJkmDlqLmSGEsPMqaB/kynlvpfP+FuoNbLgJej+nq1EATOuAPUZ7vv6Md7/Rx/lzwpvg5/4S9h7Z/u8RuzwWUMZMqeATERWRgHZMnmecflIkSkuYyxrfNr7fL4xZCH0aSYFCMv84K07edB7NRR3wFUHl/2e6R6Z586Q1QkIiUlcfZlTlq0M2SKf9xzOlSFrNwXtyVKYGZUoYL5VR+YXmHIVhk0B2WZTzO33OuGPU8tWDPd+zwwUg3QHi9o0X3z8FLd5D6dPnHmsKyCLm9mUZStD1kdphkw1ZCKyMn0JyMxsBPgAcDPggDcADwN/DOwFngBe7Zw724/rW8oHX38bg/UPwGD5vOe+/RU3E879GoyVuXX3KLfueQHwggt6v1JPU8227IdY6HvUnE/gYiJXXZBt6BX5Xqc7/yKrOs8lOMcqy0GbX/JzplNV6XVFhSLTcfZvpxWWm0o5t0BlMhgnId3PtLdVxtbBAkfiYQgTHnvyKV7rPZo+MXW067xG4ghIayr7HZB1asgUkInIxevXHeTdwH3OuRuAW4CHgDcDf+ucuxb42+zxmnLd9kG27L4BRvac99w7rx1n7y0HYfftF/1+pdBP9wHslcuQVROfkJiouZwpS//ipyw9I1nk26WRX3npLwweK4WAqqXXWyyWOrsTKEO2qaTNk9Pvj6loa+cXg6AnIBsocDxb/HH62FPc4n07fWK6NyBrdgKy80xZNpImtXodGtUVfhWLa2fItHWSiKzAJQ/IzGyYtHDqgwDOubpzbgJ4BfDh7LQPA6+81Ne21uSnebpkGbIoMGYTI7SEoFld0Jm/V5SvIbvgDJlHwy0M4o643PTtIoXVlYKfboBuHpVysbPfpQKyTSWf7Z2NtnWaEvcGZIMFTmZ7v17ffIzLW9Ph08e6zosTR9SqITtPt/5f+4sH+cR/+r/h/fes8KtYXFOd+kVkFfTjDnIlcBL4z2b2ZTP7gJlVgO3OudavwceA7Ut+hk0i34fsTLZKE7/QXm0WeB6zcbaIIJlbtFN6Xr7txcXUkC2WIbu/ua/zYNEpy4CalSAoZr3XWhkyTVluJvnmybOFrZ3vw8UCsmzP2O/1/xcA094QTB9pn+Oco9FsElhryrJ+zvc+MlGlPHcEJp9ejS9lgbSoXzVkIrIy/aghC4BnA29yzn3BzN5Nz/Skc86ZmVvsxWb2RuCNANu3b+fQoUPP8OXCzMzMJXmfXsdmm0y4AeqEPNjcy13+14kJ+B/ZtRw/WqOYG8LHDh/jyXNc5+kTNXZkWa5vfftxjlSXPrfX4080umrI5l1Eyeocat7Ca0g/z5e/+g0mn+x+XXWmymwzoGEe1ekJpl2axXvi6BmeeIb/Tfs1brLQmZM1Lst+uXhiyrg2C8jOzlR5IDdGR2ea7QzZ87yHAPgn9nHg9MN8PjsvaTqcgzDLkP3TF+9nZvDEku99/OQ8rlEl8ar8wzPw/dB00IwbHD12jIc38feb/r+tXxq7taEfAdlh4LBz7gvZ4z8lDciOm9kO59xRM9sBLHqHdc69D3gfwP79+93Bgwef8Qs+dOgQl+J9FnPPXVX++P4r+NKhj3OX/3WCYqV9LZ+ff4ja4c4QXnXtPq46sPR1/v30g9SPpD8Ir7thH9c9Z+lzez11/3f47Lc+1348T0SJOhQG+Fy8jwP+N7j11u+GKw50vS7edhzvqZ8gHHoBVz+9g6nTaUC29/pnsfcc17oa+jlu0q205zSPfK0JxW2Mzt1E7cTfAjC69bKuMZqqNnjL//gUc67AmE0zHYzxSLKbe+pf4OBdzwc/pNpI4G/uawdk+2+9BXY9Z8n3/oNvfZ5oHnyaq/794JyD+/6KwPfYcflOdmzi7zf9f1u/NHZrwyUPyJxzx8zsKTO73jn3MPDPgG9kf14P/Gb298cv9bWtRduHijB4WWdPyFydVuR7zOSH8AI69a+07UVaDzTDr//IHfzZd+7hedF92M79C173ffu2w760HHDwk99oZ8hUQ7a53HHVFu646iXASyh88htLTlkOFgJCzzjphrnCTjBZvoInTg9B6GDmBAzvpJ6kWyUtv6jf4bsGuHPXml0Ml+Xx1alfRFaqX33I3gR8xMwi4DHgJ0nr2T5mZvcC3wFe3adrW3O6NunOBWSVQsBTLvcD7TxF/YXAZ7q9yvICi/p7ArKqi8Bg69gY/3zfs4Dbzvs5hoohR8iK+tX2YtMqhB6TraL+nl8izIzhgnEyGeEKTlAdupJjp0bTJ6ePoy8cygAAGdZJREFUwvBO4iSNgsJ2Uf/5V1kGNAAHzWRVt+xqZhGZ2l6IyEr1JSBzzn0FWJhOSbNl0qNSyHXsz2UU9l8xyh+66zonnqeov9C1ddKFdurvCcjaP1DP35OtZbAYMO3U9mKzKwR+LkO2cGXucGScnEsL+93Y1Rz/dhaQTaWF/XHSBBzRMov6G4nDc7meZasakKV/qzGsiKyU7iDrQGmJDNktu0c47LZ1Tjxf2wvfo+4udsrSI3aLBGQ9+3qey1VbKxzxd+K8AEavvKD3l42jEOQaFC/SzHi4YO3C/tE9N/IU26h7RfjmJwGoJ018mp0XNLunIquNBNeoQjM955nciLydIdPWSSKyQrqDrAOVXMuAfIYs9NPhe7i5Kz1g5/7NvxDmasguYsoy3/ainjV7pWdfz3P5nuu28tFf+SnsLU/Dlqsv6P1l4yjkaxkXy5AV0hoygPE9N3HPLdfwh8kLcF/7Ezj9beLEdaYroWvKcqYWs/83Pk3t//ku+NKHgPyUJQuCt9WiDJmIrJTuIOtAKfKZcwszZAD/551X8uHkRdmJo+f8PJGf38vywjcXb+RmuBtedh0XMGVpZhRD/7xTq7KxFcLclOUiC1Fu3eYTXf9C2PcK2HI1b7z7Kn6v9tK019eDf0bcbBK2CvqhK+t1ZqZOozZPcf44nP0OkDaR9dtTlqsbkLUyZGl1v4r6ReTiaXPxdaASBYtmyADe+rIbOXzgN4A3wdi5pwFHyhGTZLVbxZELuobeDFnsFcArg6eYXi5MmiFrdepfmCH7rq0BBw++BngNAFeOVzjFMDV/gMLsKeqxI+jJkD15eo5f+sghft9+kxvtVenxuAakU5xhO0O22lOW6d8q6heRlVJAtg6UCz5VIhyG9dR+mRm7x8qkGyCc2wv2bWfnv3w92J1w+a0XdA2Bb10ZssQvQbj86UqRlkLgn7OGrFcp9IkCj7lgiMLcmYUZsqTB149MMnf0YQYLD3C7l+0eEad7VzaS3PmrvBF5Z5VlU20vRGRFFJCtA+UoAIy6V6IQXPx0n+8Zz9o9AizdRPNcr21lyJoWMHDgXhg+c9HXIpvX+WrIepkZo+WQGW+I0fkzWYCVy5A1G8zVE8qWZsS22mR6PMuQddWcrXINmcvWFqioX0RWSgHZOlAOfQYLAfPFbRQGtvblGkLfo5G1vfD8gOcdfGlfrkPWv67FJedpZtwyWo6YrA2ye/4sjcR19rEESBrMJzFl0ozYVptIj2cZsnrSJPSemYCsXUOmon4RWSEFZOuA5xn3/fzdFJt/BZXhvlyD7xlJq+2Fp28buXg3XT7MVdfso154MdHuO5b1muFSyNnqAMw9sXCVZTNmrp5QIsuQ0Z0hayRNQv+ZmbJshWPaXFxEVko/WdeJnSMlYGff3j/0Ohmy1WysKZvPWCXifffeBdy17NeMliNOna5Ae8oynyGrd01ZjrenLKvtjcjbiwAuoqj/8VOzXOkdh5G9CxaxdHfqVw2ZiFw8/Uony5LWkClDJv0xWgk5EVegOkncqC/oQzbfSCi3MmTtKcsajWzfy6gdkCWcy7v/+yN85Pd+DT70YgC+cWSKV/+HP8e95znwyN8sOL+r7YUyZCKyArqDyLKE+a2TFJDJJTZSjjhWTxe0WG2ys7E4ZFOWcXvKcsxm0uNxtb0R+XJXWX718ASDZ74OR74MwOnZGiM2m05Jzp1acH4rHvNUQyYiK6Q7iCyL7ykgk/4ZLYecbqbbdNn8mQVtL+brTUrZlGVbXGtvRL7cKcvpWkyxOdfeH7ORNHPZtYULAtIMWasZmW6nInLxdAeRZQl9LxeQqYZMLq2RcsQEaUDmVc8SWn7Kss58I25PWbbF1WzKMr8R+bkDsplqTNnNpf0smgn1uEnUaiq7yGudA08BmYisAt1BZFmUIZN+GimFnHXpLhNedaK7U3/PKsu2uEY97t1m6dw1ZDO1LCADSBrUz9PDrOlcOl0JaOskEVkJBWSyLIFvNPFoYgrI5JIbrUSczTJkQe3sginL/CrLzvEacbNnm6XzTFl2B2R1GnGzk41bJCBzLheGaZWliKyAAjJZliBb7t/EV0Aml9xoOWTCpQFZWJtY0Kl/fokM2YKu/suYsqww3z63nq8hW+S1XRkyTVmKyAroDiLLEvjpb/+JBaohk0tupBwxQ4mmBYS1s92rLJN0leViNWRpDVj3isylVBsJ9aTJIFmGrNlYRlF/1oMMFJCJyIroDiLLEnhZQIYPXtjnq5HNZqQUMlgMOept54oTf8uYTQPgMEjqVBuLrLJM6sRJsqDebCkztRhwDLQzZPWsBm3pDJlzTkX9IrIqdAeRZWlPWZqmLOXSC3yPd77qu/j5uTcwOP80bwn+CIC6V8o2F48XTlkCcb3asyJz6SnLmWpMkTqBNdvnplOW2WuWyJB1pixVQyYiF08BmSxLK0OmgEz65aXP2sGx0efwZXcNhSzIqnvFTlH/IgFZUpvvTDnCOYv6Z2oxg63sGEDSoBE7wlbLjEVe65zLFfXrdioiF093EFkWzzM8Uw2Z9Fe+uB+g4RVwSYNa3KRsNRqu+3uzGVcX1JstZboaM2D5gKzevShgkdemNWQq6heRldMdRJYt8DxlyKSvRspRux8ZQM2KJHHaVb9sNU4xDEDi0rzV/MN/x63eo51PcJ4asoHeDNkyOvWrhkxEVoN+ssqyBb7RtEABmfTNaDls9yMDqFuRZlwHHCVqPOYuY4edYZIKY8zw3Affzv4gFyidc8qy0Z0ha6aZt2K7hmypthcKyERk5XQHkWXzPcMpIJM+GilHXVOWNSvQjBsUaODhOOlGANpZtLLVGLLurNdSZqpxp+UFLGvKsmvrJBGRFVBAJst21XiFucErYOzKfl+KbFKj5YizdKYsG4S4pNFeYXnKpVOWZ3Ln5NXqNf6/f3wM96UPLwiwphdMWWYB2Xk79StDJiIrp1SHLNvHf/pO4M5+X4ZsYqOVkG/ki/rxcclce4Vlq4Zswi0ekH31ydN87tH38qroD2DwMrjuRe3nZhYU9cdZY9lWQLb4lKUCMhFZDbqDiMi6kRb1dwKyatOjMTfNHd5DADzttlL3inzbXb7o6w+fmuIe/yvpgyNf6XpuYVF/nUbitHWSiFwSuoOIyLoxUgqZyBX1n5prMjz/JO+Kfh+At7z6IF945T/wieR5i75+YmqKu72vpg+OPtD13HQ17qk3q1PP15At2RhWGTIRWTndQURk3RjtyZA16O47NjA4hF8ZY57Coq+/zXuYIZtjygbhaHeGbLoaM9BV1N/omrK8/9HjfPPfHiD+/bth8unsJIdnCshEZOV0BxGRdWOkHDKRL+p3PWWwfkQh8Km5xfdbvd6eAuDPkzth6mmYOdl+bqbWYMirUm81l802F28V9dfrdW6oP0hw/AH4u99IT+lqDKutk0Tk4ikgE5F1Y7QS0citRYqzDNlTo8/F3fNW2HUbhcCjxuIBWWsbpP8Z35AeyE1bTldjxvwqp7OFAa1Vlq0MWUhC7LJb5vwZAJpNbZ0kIqtDdxARWTcqUe+2Xel04e5n3YV9zy+CH1IMFw/I5l3U/vghtyf9YPKp9rGpaoNRf57Tbig9kDSoJ65dQxZZo7PxeJyu6uzeXFy3UxG5eLqDiMi6YT3TgjsszVSx5Zr2sULgUyOi13x2zHkRx91YenC2M2U5NR8zzCxnWi0z2jVk6erKrs3Lk3S7JqdO/SKySnQHEZF1a7dlAdXY1e1jhcCjgU/TdQdv7UL/QoU6IdVgCGZOAOnU43S1wQBz7V5mvZ36y1Q7nyyucWRinkcef4L93sPpMdWQicgKKCATkXXlv//C93D0J7/IPbXf7jRy3ZIPyHzAqBEy7Urt4/MuDcgsrDBYCJj2R2HmOACz9Zimg3JzpitDlhb1p3VnZcsFZEmNd336W0z+/Xv4rfD92UEFZCJy8dSpX0TWlWu2DQDX8457t/D5h3fwg+UHoDzWfr4Qpr9nxl7I4WQLN9qTAJ26sqjC+GCBiWSErdmU5VQ1JiAmas4z6SokFuA30ynLwmJTlnGd07N1bmWqc0xTliKyAgrIRGRdOnDNOFzzMuBlXccjPw2MEq/IU/FWbuRJ6gSdnmVRhfEg4tTEMNfOpP3EpuYb7Y3Fp6jQtAC/Z8qyYvkashpT8w2GLNe3TAGZiKyA7iAisqF4nvHvfuhZnDzwK/zH+JU0MdL8V/b7Z1Rh62CBo83hdlF/PriacmWaXtgu6m936s/MWhniOlPVBkPMdp5QQCYiK6A7iIhsOD96+x523vV/8FV3NfOUsoAslyEbKHC4PgC1KWjMM1WNGWpnyMoklgVkuT5kLXOUswxZrAyZiKwa3UFEZEMqhT6ewbxXIrag09S1FZA1si2YZk5kGbI02zWV1ZC1NhdvdepvmbVSO0M2mN9qSassRWQFFJCJyIZkZlSigHkrL5iyHB8ocMpl7S1mT2bTj2lwNe8NkFhAM6mTNN2CDNmMK+GSGnP1hGHTlKWIrA4V9YvIhjVQDKg2ywSu0SnqDyuMD0TtgOyJ7zzO/NNHuMbSAv95v0JsAS5OV1f21pDNUMKSOuBUQyYiq0YBmYhsWJVCQK1WoticI8nVkG0dLHDSjQDwtfs+wBu8L1EM0wBs1hskIaAZp934ezNkrd5mQ8wSZT3KAE1ZisiKKCATkQ1r92iJmcmduDnXVdR/444htu/cy2dO3ML3+/d3XmA+sVfOMmRpQNabIZtyJTDYapPdb6YMmYisgO4gIrJh/cfXPZtbfup9/PbYr3X1ISuGPn/yf93JmVf8IX+0+228N856mbmEKPBoEOKSOkanU3/LVLMIwHi+KSygTv0ishIKyERkw6oUAkqVAZKwTOw6ARlA6Hu8av8eth94HZ9IDrRfE/geCT4uabSnK+eybZcAplwWkClDJiKrSHcQEdnwAs+6pizzbt0zyjfdnvbj0DcapFOWrenKWToB2UxWQ6aATERWk+4gIrLhBb6XC8gGup4bq0Qk+Ez4Y7D9ZkLfo0Hah6wVkM3nMmQzKCATkdWnon4R2fBCP5chC8sLnv/Wb7yEwD0Mvk/0e5+nUQugOUNIWj82n8uQTbv09eMoIBOR1aOATEQ2PN/zlpyyBIgCD4iAdHqzgQ9Jg8jSVhhzFNvnzqAaMhFZfbqDiMiGF3bVkA2c+1zfo+7SKcveov6mBdSywG2rTZK43MpK9SETkRVQQCYiG17gW67txcIpy7y07YWPNeN2DdlcNmXZ9CJqLgRgmzfFGYY6L1SGTERWQHcQEdnwAt/DvDSQWmzKsutcz6g7H8u1vahmWbGmH1HPKj22MMmky30uZchEZAVUQyYiG95Nlw9x6umbIHxk2VOW5nJtL7LeY86PqJMGdgXqTJIPyPT7rYhcPAVkIrLh/dgdV8AdPw/8/HnPDQMvzZC5mKKl2ye1ivqd18mQAUy53PSnAjIRWQHdQUREcsLWlGWzwQDzAEy4LKvmR9SzGjKAqXyGTFsnicgKKCATEckJfY+a8/GaDSpUAThLFpAFnSlLUIZMRFaP7iAiIjlh4FF1AR5NRr05ACbbGbJC95QlCshEZHXoDiIikhN6Rr2Z3hq3BbMATLSmJoOIWleGTEX9IrI6dAcREckphD6zSZoF2+5P07SgvaG4BcqQicgzQ3cQEZGc4VLIqSQNtHbaKeJwoN3l34ICDo+GSx9PqQ+ZiKySvgVkZuab2ZfN7JPZ4yvN7Atm9qiZ/bGZRf26NhHZvEbKIRNZEf8Od4IkqHQFZEA7S6YMmYisln7eQX4WeCj3+J3Au5xz1wBngXv7clUisqmNlKJ2m4ttzRMkUSdD5oWtgCytI+teZakMmYhcvL4EZGa2C3gZ8IHssQHfC/xpdsqHgVf249pEZHMbKYftDvwFV6OZm7L0FmTIVNQvIqujX536fwf4RWAwe7wFmHDOxdnjw8DOxV5oZm8E3giwfft2Dh069MxeKTAzM3NJ3kdWl8Ztfer3uH1nKuk0ggUmqs32xuRHT54msO4MWcP5hJbw+S98kVrxiX5c8prQ73GTi6exWxsueUBmZi8HTjjnvmRmBy/09c659wHvA9i/f787ePCCP8UFO3ToEJfifWR1adzWp36P2+Gzc7z9c59uPx4cv5z4ZHqrvHzXXopHAmJLA7JpyjQICEl43nOfByO7+3LNa0G/x00unsZubehHhuz5wA+Y2UuBIjAEvBsYMbMgy5LtAp7uw7WJyCY3Uo6ICZh2JQZtHhcOELeqO4ICUeARuwi8EnXCdvZMU5YishKX/A7inHuLc26Xc24v8Frg75xzPwZ8Bvjh7LTXAx+/1NcmIlKJfALP2nVkrjDYriHDj4h8j6YXQXEY6NSTqahfRFZiLf1K92+AXzCzR0lryj7Y5+sRkU3IzBgpd1ZaUhgkbgVdWYbM5QKyRuu5ZtKHqxWRjaJfRf0AOOcOAYeyjx8Dbu/n9YiIQNaLrJZmyILSEHUCmhbgFYbYMhBRr26BYR8OQ8MFYECz0d+LFpF1ra8BmYjIWjRSCpk4m2bIhkfG+M8/dReJ/5d4l+3jvTdHFOvvh6LPy7wn+cRDB3iT9/9DcaTPVy0i65kCMhGRHiPlkMnWlGU0wIGrx4FxALYVIV2PBO9+7Rhz9fcBvwOl0X5cqohsEArIRER6DJciJlpNXwtDS54X+B5DpQJQuDQXJiIb1loq6hcRWRNGymFXUb+IyDNNAZmISI+RUmeDcQoD5z5ZRGQVaMpSRKTHi2++jL+e/n6cH2Pj1/f7ckRkE1BAJiLS49rtg1z7yruBu/t9KSKySWjKUkRERKTPFJCJiIiI9JkCMhEREZE+U0AmIiIi0mcKyERERET6TAGZiIiISJ8pIBMRERHpMwVkIiIiIn2mgExERESkzxSQiYiIiPSZAjIRERGRPlNAJiIiItJnCshERERE+sycc/2+hotmZieB71yCtxoHTl2C95HVpXFbnzRu65PGbf3S2F06Vzjnti72xLoOyC4VM/sn59z+fl+HXBiN2/qkcVufNG7rl8ZubdCUpYiIiEifKSATERER6TMFZMvzvn5fgFwUjdv6pHFbnzRu65fGbg1QDZmIiIhInylDJiIiItJnmzIgM7MPmdkJM/t67tiYmX3azB7J/h7NjpuZ/a6ZPWpmXzWzZ+de8/rs/EfM7PX9+Fo2kyXG7UfM7EEza5rZ/p7z35KN28Nm9qLc8Rdnxx41szdfyq9hs1pi7P69mX0z+3/152Y2kntOY7cGLDFub8/G7Ctm9jdmdnl2XPfKNWKxccs996/NzJnZePZY47ZWOOc23R/gbuDZwNdzx34LeHP28ZuBd2YfvxT4a8CA5wJfyI6PAY9lf49mH4/2+2vbyH+WGLcbgeuBQ8D+3PF9wANAAbgS+DbgZ3++DVwFRNk5+/r9tW30P0uM3QuBIPv4nbn/cxq7NfJniXEbyn38M8AfZB/rXrlG/iw2btnx3cCnSPt3jmvc1tafTZkhc859FjjTc/gVwIezjz8MvDJ3/P91qfuBETPbAbwI+LRz7oxz7izwaeDFz/zVb16LjZtz7iHn3MOLnP4K4KPOuZpz7nHgUeD27M+jzrnHnHN14KPZufIMWmLs/sY5F2cP7wd2ZR9r7NaIJcZtKvewArQKkXWvXCOW+BkH8C7gF+mMGWjc1oyg3xewhmx3zh3NPj4GbM8+3gk8lTvvcHZsqeOyNuwk/SHfkh+f3nG741JdlCzpDcAfZx9r7NY4M3sH8OPAJHBPdlj3yjXMzF4BPO2ce8DM8k9p3NaITZkhOx/nnKP7NwgReYaY2VuBGPhIv69Flsc591bn3G7SMfvpfl+PnJuZlYFfAn6l39ciS1NA1nE8S9OS/X0iO/406bx7y67s2FLHZW3QuK0DZvYTwMuBH8t+EQKN3XryEeBV2ccat7XratJ6zAfM7AnSMfhfZnYZGrc1QwFZxyeA1iqS1wMfzx3/8WwlynOByWxq81PAC81sNFuR+cLsmKwNnwBea2YFM7sSuBb4IvCPwLVmdqWZRcBrs3PlEjOzF5PWs/yAc24u95TGbg0zs2tzD18BfDP7WPfKNco59zXn3Dbn3F7n3F7S6cdnO+eOoXFbMzZlDZmZ/TfgIDBuZoeBXwV+E/iYmd1LugLl1dnpf0W6CuVRYA74SQDn3BkzezvpDwmAX3fOLVZEKatkiXE7A7wH2Ar8pZl9xTn3Iufcg2b2MeAbpNNh/8o5l2Sf56dJbyw+8CHn3IOX/qvZXJYYu7eQrqT8dFbTcr9z7l9o7NaOJcbtpWZ2PdAkvVf+i+x03SvXiMXGzTn3wSVO17itEerULyIiItJnmrIUERER6TMFZCIiIiJ9poBMREREpM8UkImIiIj0mQIyERERkT5TQCYiG56ZbTGzr2R/jpnZ09nHM2b2e/2+PhERtb0QkU3FzN4GzDjn/kO/r0VEpEUZMhHZtMzsoJl9Mvv4bWb2YTP7BzP7jpn9kJn9lpl9zczuM7MwO+85Zvb3ZvYlM/tUa8s1EZGVUEAmItJxNfC9wA8Afwh8xjn3LGAeeFkWlL0H+GHn3HOADwHv6NfFisjGsSm3ThIRWcJfO+caZvY10u2Z7suOfw3YC1wP3ExnuycfONqH6xSRDUYBmYhIRw3AOdc0s4brFNk2Se+XBjzonHtevy5QRDYmTVmKiCzfw8BWM3segJmFZnZTn69JRDYABWQiIsvknKsDPwy808weAL4CHOjvVYnIRqC2FyIiIiJ9pgyZiIiISJ8pIBMRERHpMwVkIiIiIn2mgExERESkzxSQiYiIiPSZAjIRERGRPlNAJiIiItJnCshERERE+ux/AwRLVfABXz00AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "fw1SP5WeuixH"
},
"source": [
"Let's zoom in on the start of the validation period:"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "D0MKg7FNug9V",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "f4b0b921-2ddd-4693-9039-d60368394ba1"
},
"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": 17,
"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": {
"colab_type": "text",
"id": "35gIlQLfu0TT"
},
"source": [
"You can see that the naive forecast lags 1 step behind the time series."
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"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_type": "code",
"id": "byNnC7IbsnMZ",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 71
},
"outputId": "2464e1ff-5b26-467e-c474-be45cb85d498"
},
"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": 18,
"outputs": [
{
"output_type": "stream",
"text": [
"61.827538\n",
"5.937908\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "WGPBC9QttI1u"
},
"source": [
"That's our baseline, now let's try a moving average:"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "YGz5UsUdf2tV",
"colab": {}
},
"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": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "HHFhGXQji7_r",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "bf983f57-b134-4bee-90de-f3ccb2226dce"
},
"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": 20,
"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_type": "code",
"id": "wG7pTAd7z0e8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 71
},
"outputId": "58b3924e-c34f-48ef-b6e8-df7a4c4b5f91"
},
"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": 21,
"outputs": [
{
"output_type": "stream",
"text": [
"106.674576\n",
"7.142419\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"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_type": "code",
"id": "5pqySF7-rJR4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "f23fd80c-0e0a-4f60-e2e3-916e1d80070b"
},
"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": 22,
"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": {
"colab_type": "text",
"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_type": "code",
"id": "QmZpz7arsjbb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "57f858e0-b1ff-43e1-e233-5a5ddcfcd7b9"
},
"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": 23,
"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": {
"colab_type": "text",
"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_type": "code",
"id": "Dv6RWFq7TFGB",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "f9842b10-a9ca-4697-c949-ee669959ddf5"
},
"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": 24,
"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_type": "code",
"id": "59jmBrwcTFCx",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 71
},
"outputId": "5306b50f-a786-4718-82c7-706ede506822"
},
"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": 25,
"outputs": [
{
"output_type": "stream",
"text": [
"52.97366\n",
"5.839311\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"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_type": "code",
"id": "K81dtROoTE_r",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 408
},
"outputId": "8baafb0c-2441-487f-82d5-5d7b49c0f9bb"
},
"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": 26,
"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_type": "code",
"id": "iN2MsBxWTE3m",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 71
},
"outputId": "699e4581-6939-408b-9e29-339714343bb7"
},
"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": 27,
"outputs": [
{
"output_type": "stream",
"text": [
"33.45226\n",
"4.569442\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wFGgh9OWsF1u",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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