{ "cells": [ { "metadata": {}, "cell_type": "markdown", "source": [ "\n", " \"Open\n", "" ], "id": "dbc9bfc8d77a9106" }, { "metadata": { "collapsed": true }, "cell_type": "markdown", "source": [ "# Introduction to Time Series\n", "\n", "A time series is a sequence of values ordered in time. Unlike the datasets we worked with in previous blocks, where samples were independent of each other, in a time series the order matters: the value at time $t$ depends on previous values: $t-1, t-2, \\ldots, t-n$.\n", "\n", "\n", "## Basic Concepts\n", "\n", "Below we list the basic concepts when working with time series:\n", "\n", "- **Trend**: Long-term variation of the series. It can be increasing, decreasing, or absent.\n", "\n", "- **Seasonality**: Patterns that repeat at a fixed frequency (daily, monthly, yearly...). For example, air temperature is systematically higher in summer and lower in winter.\n", "\n", "- **Noise**: Random variation that cannot be explained by trend or seasonality.\n", "\n", "- **Stationarity**: A series is stationary when its mean, variance, and autocorrelation structure do not change over time. Most statistical and deep learning models assume stationarity or require the series to be transformed to achieve it. A model trained on a non-stationary series may learn patterns that will not repeat in the future, leading to incorrect predictions.\n", "\n", "Most statistical time series models assume that the series can be decomposed into trend, seasonality, and noise through addition ($y_t = T_t + S_t + \\epsilon_t$) or multiplication ($y_t = T_t \\cdot S_t \\cdot \\epsilon_t$). The additive model is appropriate when the amplitude of seasonality is constant, while the multiplicative model is more suitable when seasonality grows proportionally with the trend.\n", "\n", "\n", "We will use the **Air Passengers** dataset from `statsmodels`, to illustrate the main concepts. It contains the monthly number of airline passengers in the United States between 1949 and 1960. It is a classic example of a time series with a clear upward trend and annual seasonality.\n" ], "id": "daad77abb629c187" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:20:08.197232100Z", "start_time": "2026-04-23T08:20:03.566683400Z" } }, "cell_type": "code", "source": [ "\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "\n", "# Càrrega del dataset\n", "data = sm.datasets.get_rdataset(\"AirPassengers\", \"datasets\").data\n", "data.columns = ['time', 'passengers']\n", "data.index = pd.date_range(start='1949-01', periods=len(data), freq='ME')\n", "data = data[['passengers']]\n", "\n", "# Visualització\n", "data.plot(figsize=(12, 4), title='Passatgers mensuals (1949-1960)')\n", "plt.ylabel('Passatgers (milers)')\n", "plt.tight_layout()\n", "plt.show()" ], "id": "fe4259aca81c93e1", "outputs": [ { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 1 }, { "metadata": {}, "cell_type": "markdown", "source": "The next code illustrates the decomposition of a time series in Trend, Seasonality and Noise:", "id": "db683ca5aedbdff2" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:23:20.137744100Z", "start_time": "2026-04-23T08:23:19.824213Z" } }, "cell_type": "code", "source": [ "from statsmodels.tsa.seasonal import seasonal_decompose\n", "\n", "decomposition = seasonal_decompose(data['passengers'], model='additive')\n", "decomposition.plot()\n", "plt.tight_layout()\n", "plt.show()\n" ], "id": "e8d42a3cf4ca53da", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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AsJQKjbNy1J3d+SLNiS6XDx6m21K1HSfYuTvslRmGYRiGYawksnoVKOrvB49TUmBi606QlvIQwitVgHqdX4dStauT4GdIM+ZssNIEVpzIzMiAC3v2G7wu5thJuqZYUCD4hIZQAmN7wxo7hmEYhmGEo2rr5nR7assOEuqQG2cvQNrDR1AIc8+WKwOitfXq4WOQnvrY4HUZT9Ih7uRpul/KQeZYFuwYhmEYhhEKN/e8UKV5E7p/fNOLOvHPnz2DK4eP0v3SdcUwx+Zxc4M6HdrR/UN/bTB5/eUD2X52DjLHsmDHMAzDMIxQlK5dEwoX84aHd+7C5YNZgpzEpf1ZfmqlBfGzK9ugDhQPDqLqEie37DB5vRRAEcWCHcMwDMMw9iJPHsx4JiZVW79Ctye3bCctnSaXDmQJdpHVq4J7/vwgN/U6tafbw2v/hsynT01eH3fyDJlkvXx9ICCypN3bwxo7hmEYhsklFChSGFp9+B5MPPAv9Js3HUQkb758UKlpY7p//J8XZliJpCsxkHI7GfIV8IASVSqCnHj5+0H5RlnRsPtX/WXW/zzLyICrR4/T/dpvZJlw7QkLdgzDMAzj4qCw1Ojtt2DU36ug+Xu9waNQQSjboC4JJqJRrkEdKOjlCQ+SbkPM0RPG88HJ7GdX+/U2lFvvypFjcCsmq769Oexc+ivdNuzWCYqHBNm1TSzYMQzDMIwL4+7hAR+vWADth39EfmtJV2PVVRuwooNoSBGmxzdvA5VKf3EsEfzs8mDQRMfXLNLWSZzfvR8u7jtIpuRXBw+wa7tYsGMYhmEYF6ZW+1chuGxpcu7/fexE+KZDD/JdQ6JqiSXYoXk1+uWsCg7HN24xeJ3kZxcWXR48ChcCOShbvzYFTTx+kAInN2f1pyWsmzYHnj9/DtVebQFhFSvYrV0s2DEMwzCMi+KWNy+83Ksb3d887yc4sGZddsqQY/RcqZrVQSTQX82jUCG4cyMBrp06a/C6ezcTIfnaDTKDRsn0Gep2ep1uD5kZNKFLwoVL6nqx7T75wG7tYsGOYRiGYcwE65T6hIVCeOVoEkKqtmwGBTyLCNt/lV95GXzDQiH13n04+Md69fPovI/aIr+S4eDl5wuiUKNtS7o9oZG7zhAX9x+SxRwbXjkauk0aq9YsHrDQDKvJxtk/UIRsVI1qULFpI7u0j0uKMQzDMIwZlKxaGQb8NAvyeXhoPX980zZY+snnQvbhy3160O3uX1bC07Qn6uefPHwE8ecvQliFcuRnd8yI2dNZBERFQMUmWcLN4bVZmixjoDm2/ptvOC2AIrrJS/DKe70gXMNsemD1WvJZtBYMENmx5BcKaGnz8SCqM/s8Uzu9i6Wwxo5hGIZhTC2W7nmh05jhJNRhQXo0FV4/e57OVWrWGDx9fYTrw9J1a5Hghu3dvWJVjvNXDmUl/o2qJYY5ttm779At+v+ZIyxdPnAYnmVkQlDpKPK1c7RQ32fWVBLqMtLT4eCf62FGl97w+7hJNr/29gXLKBEz1pqt0rypza/Hgh3DMAzDmKBR9y4kQDy6ew/+1/x1mNi6I3zbpTel40A/r9qvtxWuD5tma+sOrFlLDv66YF1TUSJj0bxdLTsaduv8RWb9D34mSdPYJPuzOspPscPoYXT/xOZ/6fv/7YsJcCNbsLeV9MePYd/KP+l+9TZZpmhbYMGOYRiGYYxQNMAPWgzqS/fXz5gLaSkvhKR92f5VmPZCpEoOoRXKQpl6teFZZibsXJKVM02Xq0dPkJ8daork1jiiEIoCFJoi489dNPv/ti9cRreV0JcwPNQhbavf5Q0IKVeGBMnV/5tK/or25tjfm+m2bP06UNi7qE2vxYIdwzAMwxjhtU8GU6Rm7PFTcPivv7XOoQbncUoK+IQGk+lTFJr0ztJgoUYLI0j1kZbyEBLOX5Jda+cdGAA1279K97f+aJ62TiLx8lU4+98ecHNzg5d7dbd724r4FINW779H9/+e+T2ljHEEmNwYTft587lD5RY5zbEh5Uqb/Vos2DEMwzCMAVBYq9rqFUoRsvqrr3MkzM1MT1c7+tfrnJX+Qm48fYpD5eZN6P72hcuNXnvlsPx+dk16dwf3fPko6XDcidMW//+/Py+l25qvtabPbk8woAGrYKDQtX+19dGv5nB0wya6raFjjsU8fW9P/UrZgt2IESPoxzNjxgz1cx4eHjBnzhxITk6Ghw8fwqpVq8Df31/r/8LCwmD9+vWQmpoKSUlJMHXqVMibN68Mn4BhGIZxhTJcHUZl+VZh8AHmHdMHRkYi0S+/JLtJE6nSshmZNWNPnILES1eMXqvOZyeTYIeCmFS9YcuPC616DfRzRG0qBra81KOL3dpWskolte/kGhTqnz8HR3L8n21kGo+oXgWKBQeqn2/1wXvg5e+rXMGuZs2a0L9/fzhxQrs+HAp57dq1g86dO0Pjxo0hODgY1qxZoz6PatgNGzZA/vz5oX79+tCzZ0/o1asXjB8/XoZPwTAMwxgCfdHQrwuFD5HBHHXYzpTkO7Bp7nyj5sCYYyfJjFarfRuQm2qvZgUhHPvbdAqTq0fk87PDnIBdJ3xBAhkKZlKUrjVIWrv6b75hViUKvKbxO11h4M9zodxL9XKcL+jlBZ2/HKkW3I0lS7YXKbduw5WDWX1Q/dWWal/Jhl07WfQ6Qgl2hQsXhuXLl0O/fv3g3r176ue9vLygb9++MHToUNi+fTscPXoUevfuDQ0aNIA6derQNS1atIAKFSpAjx49SCj8559/4IsvvoD3338f8uXLJ+OnYhiGYTR5Y9QwGLH2Vxi3YwN0nTCGHN/zFywoXCdJQtqeX1fDk0epRq+VaoXW7SRvEEXx0GDSNKHp+MSmbSavx0CQmxcu0/2oGlUd0qYCRQpT5LCu4NR//iwo26AupWNZ+80sm97j7I7dkHglhsym9Tq/YfA6FF5f/WggfLH5T3jt08Gkqez97WStJMcocL773TcQGBVBeeY2zJwHzkIyx1Zv04Jq0Xb8YjhtgE5sNv1dCinYzZ07l7Ru27Zpf4AaNWqQJm7r1heZqC9cuABxcXFQr16WpI23p06dglu3bqmv2bRpExQtWhSio6Od+CkYhmEYQ2DUX4O3OtJ9jP5Dv6heMybBmG1rIbyS/epl2gqawqTEt0fMSJaLSYqzgihCKBpVLqq1ytLWXT54hHKjmcPlbD+7Ug5I9Is1asdt3wBj/10H7YZ9mFXpwt8P3l/0HQmgGGn6fb8PrfKt0wTdt3YsyvInbNyzq96NQqnaNWD0xtWULw8FQMyVh0mO3fPnh96zptD4Q/N7r28nU9swUOKH/h85JArWECe3bqc8eYGlIqHjF59S3jwMcvn72++VJ9h16dIFqlevDiNHZqk+NQkMDIT09HR48EA7GgX96PCcdA0+1j0vndMHCouenp5aB8MwDAMO09y8mW3ewkoIc3sNhB2Lf4G78TehoGcRij4VhZqvZUVpokO/oahSQ0EUL71tPz8va82wR7PTZ5jDhd376bZGm1YUoWpPGr3dBfIV8IDCxbypZu1n636DEX+toJyAqA2b03MAXDt5xi7vdXT9Jqof6+XrQwEZmrh7eEDncZ9RW9Cs+vOHn8LXr3eD+QOHwoW9Byjqud+8GSTg4eYDc8v9NGgoJF2JAWeCmuFzO/fS/XrZtWhRY/jwrnlCujCCXWhoKMycORO6d+9OApyzQCEyJSVFfcTHxzvtvRmGYXIbKLih4ICL74Zvv4OrR47Dum9mw+x3+pOWAp3GRUgZgqbUWtnpNw7+9aK+qil2Lf+dTKDlG9aDwNJR4GzwPVFgwoL0p7b9Z/b/oWBz5cgxMkG2HTLIbu1Bc2vVlq/Qffyez2zfRf2DAv7t2Gsw+5337Co4Yc6+9TPm0n1MfYKaQYmmvbtTzdz7Sbfg+3c/hDM7dpOW71lGBiz6eCQFmhQq6kXfHfbfwo8+c4pfnTFzLIKazP3ZyYsVJdihqTUgIIB85zIyMuh4+eWXYfDgwXQfNW8YFYtmVU3wfxITs3ZSeIuPdc9L5/QxadIk8t+TjpCQEId9RoZhmNwMakEw+hEd9X/94iutuqXoNC75qLUc9C7IDQqYaFJF7clpCwSkuzcS4OTWHXT/5Z5dwdlIlRvO7dpHtWAt4a/J39J3U+3VFhBRrbJd2oNmdtSQYTQxamZ/Hjwcvmr5BqwY/T+Y1aMf3EswrQm1lFNbd9CGAYXU1h9m5Z/D77JpdrmytV/PIm2cJk/T0uCnQcPgxtkLkJmRActGjIVL+w+BXOD3hwE72JZV/5uaI8WOIgQ79KmrWLEiVK1aVX0cOnSIAinw/uHDh+Hp06fQrFkz9f+UKVMGSpQoAfv27aPHeFupUiXw83shoTdv3pzMt2fP6pe68TUxdYrmwTAMwzjWBIvpKXT5d8FSyHiSTkKFnD5qmkETGHygKYCaw45Fv9AtCkiaGiNnCnaWmGEl4s9fpNJjSPvPhtglAAQjVJG9v/+hfg7Nr4fX/q23xJm9WPvNbLU5HStGvD5yCEXeXtx30GBACfqxfdu1D3zZpC0Jh3KCGsNZ3d+F6Z3eMZhiR3jB7tGjR3DmzBmtA3PR3blzh+6jmXTBggUwffp00uShL97ChQth7969cODAAXqNzZs3kwC3dOlSqFy5MkXJfvXVVxSQgQIcwzAMIw+v9OulNsFunKXfCTzldrK6XmbL9+XT2qHTfZWWWZn/D/21weL/v376LOWGw4S7jbq/Cc6iRJWKVP3iSWoqVWKwhn9m/whpDx9BWIVyNqdtwUoWmEIFtWOapkVncP30WRJuMQ1ar5mToUKjBqT9WjNxmtH/wzx1jhQ4LQG1mRjcYQ1CCHbmMGTIEEo+vHr1ati5cyeZVzt06KA+jyrktm3bwrNnz0h7t2zZMliyZAmMGTNG1nYzDMM4Ckzb8NZXX0CxIP0BYiKA+cLqZldk+GvqTKMaMMxFhlo7jEjENBhygKlX0JH+dtx1yk1nDVK1B/zc5uRUM4cCnkWgQddOUDwkKMc5TIdRv0vWenh6204K5LCGR3fvwebvF9D9Vz8eaHbb3dzzUj1dTepla+uObtgM6anapk9n8Pe388hvs3hwkFqTin59uQFhBbsmTZqQMCeBQRUffPAB+Pj4QJEiRaBjx445omCvXbsGbdq0oXx4WJXi008/JUGPYRjG1UDBB9M2oJP/J38so4VUpCL0EnU6vEYRr6h9OLfTuCbpYfId2Pt7VuL5lgP7Osx/rvWH/amElm6CZDSdSuZDa7R1Eud37c3KqeZZRB3ZaCvdJo6lKhiY/w/ThmC6DimFx5DfF0HNdq3p8eF1plOzGGPPL6uobilWhHilX0+T12OfDfl1IYzZupbahUJekeLFSEBG9mmYYZ3JvZuJsGvZb3T/bsJN2Dbfshq0SgZnAcu88lwYTHeCZl8MpGB/O4ZhRAUFuCG/LYKQ8mUoxxamkkDQBPjbmIlw5/oNEAEUnEb+vZK0Jr+Pm6QuvWWq6ProjWvI+f2n9z8xKQxaAjryf77pDxI8EOy7M//tpiAJ9OvDhLSSBWhCyw5wP1FbeWAJWIqqy/9GUxTmxFYdKWLTWsq/VB/e/U7bjIg51m6cOafWbKIJEdNiWBpBqff9GjWAd+d+Q9rVia07GsyHh7nW+s2brpUiBQMXsK5q47ffgriTZ8hXTC7cPTygUY834ezOvSZLq7mSfCKsxo5hGIYxXAsUhTr0h5rSviv5DqEvE/o1ffTLT+AdoF1HWy6wED0KdSgYHFn3j1n/8+jOPdi9YiXdf/WjAXbVQtbp0I6EOhSK0OyIAjEKYI16dCGhDgU6THGxavwUm4Q65MiGTeQ3iN9FrddN+6vh50STOibL1QQT5rYf8THd3/7zMvhxwBC4eekKJXdGoQ4FRgxImdSms12EOgSFaUz/gcK1FE2qC461DxZ/T0IdamNXjp9C4zGyRlUS6pB9K+XR1kmgSRqDcpQu1FmKdo0PhmEYRmjQ1IWmRAQz7aPWac+KVXD2v93Q+9spJPB1mzwO5vX9wOFFy02BFQCQvb+upkg/c/l3wTIyYQaXKUUJd9FPyx791rhnN7q/cfYPpD3ECNzoJi+RMIWVGi4dOEIltuwB5kdDoeL1z4bAq4MHwInN23O8dsWmjSiSFYMMfMPDSJBCofPnDz4lwQrBeqZ+JcLgwa3bsOWHhSTAYyoOjPgsUTkadi77zSFJdDGQYsBPs8k0/d+iX0jzKIFm1h5TvqR+Qw3dz4NH0Ge7fOAw9Jw+kapNYJTp8X9eVItinAdr7BiGYRREnTdeA9/wUNKC7Vya5UMkRdEtHjaaoiJRm9K079uythM1N1gOCYMh9vyW5TdnLigk/PvzMrrf6oP3ctQZtQYsqo7aQ8wPdujPDZQoF03XmNdszYRv4OSWnIKXrez5bXWWdq2YN7w6OEsYl6jUrDH0njkFqrZ6hQQhFOoQ1MS99+NMKFOvFmn7XnmvFz2/fvocdf41bPvBP9bByi8nO6wyApbaunzoKAlvzbLbgKAg/PbU/9HzJzb/Cz+895G63zDqeWb3fvDHpOlkRsfvnnE+LNgxDMMoBPQRazGwD91H7Q0mVtUEfevWTJimTvQbXjladm0dOvNbU2tz9y+/kykTk8vW7dTepragmbNJnx50f+fSXy3SHtrC88xnJDRKEbKhFcrRfdSqdp04lu5jKhAUgia+2hlG1W0G53bvA49CBaHv3GmUqgPvo1bMHlpLS/lnzo90W+eNdhSNi0mm3/nmK8ibz52+16WffpGjL9H8iabh2OPWRRQztsOCHcMwjEJ4qfub4OXnC3duJBj0pzqybiPl8EItF5rL7JVuQ5eW7/eDbpPGkkYJfemCykRRAAIKUD2mjocKjRuqBSlrQMf9zd//TPdf6d9bb1F3fWC0KJo4fcJC1c9FN2lEPnRoHtxrofbQVlAoO7L+H8qp1mH0JxRF2mf21ySwnd+9n6owoE8bCuWYFmThh8Ph+KZtlAcvLLo8aedQAyYHmEj6wp79JMh1nTCGNIySpu63LybIbupn9MM+dgzDMAoATXRN+2SZV/+Z+6PRKMvV/5sKJSpjwtoQEiZWjBpv17bUfqMdtBiQpTk0Bpo3MXWGtRxcs44Kx2ONz5d6vAnb5i/Wex0KfdEvNyR/tbIN65JQ9Cwjk/zPtnz/M6WFQfb8ulqWnGrrps2B6JdfIp+4ob8volQimA5l6aefk+CmCX6vy4aPgbSHD8nPEM3t1lQfsBcb58ynIA00rSNYY3X5iLE52s2IA6c70YDTnTBM7gT9nTDlBfoUiaqFQCd81Nhh6acZXXqbbCcm+X1/8TxKObJoyEi7lUlCjeHwP38hzRhqBjFIwD+iJPiVDIPUew8g/twFamP8uYvUn3jeFrA0F2oeMeJyavuuZJ7VBAMPBi38joQlzRxmUtJmDEZAoRj9vbBOKUbDykGjt9+C9sM/ymrTvfsws9u7cOdGvMm+1v28ctB71hSo2KQRXNh7AH7+cLjTTNmMdfIJa+wYhsnVNHirI2m1EHSsx1qSxzduVUclioBviTCo/2ZWZYF138w2S/jE9mMAAiaZ7fTFcIg5doJSidhKxy8+JaEOc5T9MvJLhwvCxzdugUZvd6FAjK4Tx8CP732kLoqOecre/uYrEuowCS2mVDm2cQsFFJR7qR688dlQCjRBsA6qXEIdgilcqrdpAYFRkSRomxLqEBGEOuTXz78i/7rT23exUKcAWGOnAWvsGCZ3gYv+sFVLKSIx/XEa+T1JHF67EVaMtq8J01p6z5wMFZs2phqgCz7IEkLNAXOgfbxiAUVdnv73P1j40Wc2taNqy2YkSGHdzRlv9oLEy1fBGfiVDKeEzPj9YHSoVLKr05gRUK/z6xQhPK3j2zkS6aI/GAqF+PnRT82aIA57goJo/gIewtQjZZQDa+wYhmFMgCZK1AChUHdx/yH4adAwKF23JvlpVWvVHGq+1hpij5+SPckqpi5BoQ59r9ZNm23R/6IZ9JdR4+HjX3+m16jRrjUFVxjD09eH8ruVrFYZigUGQMzxk3B+1z4Sil4fOZSuQV83Zwl1CNb4/HPyDOgyfhS0/nAA5ZtDoRyFOkwqvPyzcXqrI6DJEHPJiQJGjFpbx5VhzIU1dhqwxo5hcg9N+74DbT4eSL5b37zRXSsBq+QPhUXE0Rfq5sXLsrQR03R89OvPEFahHDn+S6kzLKXZuz2pioO+zyqBNUdRA4bJcPWBOdQ8ChWivGyorbOlRJa1vDNtAlRp0ZTMmIW9vaFAkcKU9kVKy8Ewrool8gkLdlZ2HMMw+ilU1ItqTWKUYlDpKFj91deU1V8kgsqUIi0WRk9iuonDa//OcQ2mpMDPgFGdGKygmzPOXmAS2mIhQVCkmDclssX+y1egAOQvUAC8gwLI/ImBHVgyylofMdROYvmnElUqwsV9B+HH/h+r/dSQgl5eMGLtCvJVQw0YCrKorcSyWijwodYQzZoYCTn77feo7JYcoG/fsFVL1IERV44cg+/7fsgRmozL48mCneM7jmEYbcIqVoC2QwZRWgQUJCTQRPZNxx52cdy3ByigYD1VU35nKGChEIG1MA/99Tf8+vn/HBK4gdGumv2ljw3ffmezSRH91Ib+vphMzyhsa+Zze/PLUVRHFVNwoOD25OGjHOlEULh7nJICcSdOg5zg+MJSV5iTbvqbPeFB0m1Z28MwzoAFOyd0HMMwL8Ai5xh5KRUwx7xbGEGHaURQa4fZ9BcMGqalJZKL7lO+hOqvtiDt19dvdDeqBYuoXgUG/TyXBK/fx06EA2vW2a0dmI4E03Rg8tfk6zdI8EU/NhSeMJAjI+0JPH3yhCJ1MZ+bPfKGNezWGd4YOZRef1qndygpblSt6vQZkdlv91dExYCAqAh48ugRC3VMrsHTQvkEZ1o+AFSenp4qBG+5T3hM8BgwPQbc3POqXv9siGraqX109Pp2sqp4SJD6fEBUhGryoR107qXub8rep6/0701tmXp0lyqqVnWz/qfZuz3V/1O6bi27tKNwMW/VF1v/otftMeVLp33+PHnyqAb8NJve94MlP6jyFyyg+mzdb/S44+efyv798MF9wGMAbJZPuKQYwwhOQGRJddZ3kUATZf8fZlLSXGTT3PmweMhIuBt/U30N5hP76+uZdL/t0PfJ/CkXVVo2g9YfvEf3V0/4Gq4cOmrW/237aTHV80TNWs/pEyGwVKRF74ulttBPzc09y9yax80Nuk8eR751SVdjYeWXU8BZoMYUS0Ghzx5Gvg5e/hOZaB/cuk3mXoZhlA8HT2jAplhGJNCnCetuln+pPj1GHy/09XIkkTWrUSLYjCdZZkA0B2Jd0vgLF6mgOYK1RzHKEvOD5fPwgCepqVSy6vS/O01mrkdBZmbXvhRhaU+wTaHly8L1M+eoxqguWHPz/UXzIF8BD/hvyQpY+/Usi14f88H1nz8TompUo6oGs7r3M5k8Fn0OWwzsAxUaNaDHaFI9snYj5M2fDxr16ELm0Jnd+pLw62xqv94WuvxvtPrxoo8/g1Pb/nN6OxiGMQ/2sbMSFuwYuUFtDvqlNendA8IrVdA6hwLLrB6YeuOKQ94bNVFDfl9EkaK6oBBy/fRZSLh4mfK8SeWbsGTUmq++JoHNGFjSadjqpVDU34+KomPOOHsKd+hMX7pOTeojLHuEQgoKXvhcmXq1IKR8WSrCfnbnHiqJZE21BIwcHbzsRyphdf3sefiu1yC9kbKBpaMojYok0GFaEAxGwIhXTbBqAxaHl4u+c76BCo0b2CVxMcMwjoUFOyd0HMPYOyN9rddezSp4nl0CCWtbHvxzPexc+iu8MXIYlGtYlxK1znirt90LmaNA+eHSH6lIOQY+3Iq9Ruk2UBOGwQ8YIaoJpgDBCgBYENxcQiuUgwHzZ1HKCnsKd9FNXoI+s6aavO7S/sOw8OMRNvVd8dBgGLxsPgm2+Ho/ffCJVsLZklUrQ7/vp0OBwoVJoEMT7pYfFsG9mzdJ81r7jbZ0u/uXlRZrDe0N5qTDnHAnNv9rdw0qwzC5PHjis88+Ux08eFCVkpKiSkpKUv3xxx+qMmXKaF3j4eGhmjNnjio5OVn18OFD1apVq1T+/v5a14SFhanWr1+vSk1NpdeZOnWqKm/evGa3g4Mn5B8LufGo2LSxatyODeoAhP/t3qRq+X4/VZHixdTXFPYuqvpiy590/u1vvrJ7Gxq98xa99ld7Nqu8/HxzONwHRJZU1e3UXtXxi+Gqup1fp6AJa94ntEI5eg98r/cXzVN5FCpkU7uxHSPW/kqv13rwAFVQmVKqloPeVQ1btUT1+eY/VF0njFHVaNsqx2ey5QirWEE1Yf9Wes93501X5c2Xj54vWbWy+vmBC+aofMJC9f4/9qfcY44P7gMeA6CoPrBQPpG/wRs3blT17NlTVaFCBVXlypVJOIuNjVUV0pj0v/vuO1VcXJyqSZMmqurVq6v27t2r2r17t/q8m5ub6uTJk6rNmzerqlSpomrVqpXq1q1bqgkTJjiq4/jgPrB5DPhHlFBNPPAvCQOjN61RNezWWZW/YEG915aoUpEiM+0dYeoTGqKadHA7vW6dDu0cPq41hbsPFn+vylfAw+rXqt+lA70OCsYehW0TEi05IqpXUX9vvWdNUUXVrKYW6vrPn2XTZ+KD+4DHAI8BsE0+Ea8DfX196QO89NJL9NjLy0uVnp6u6tixo/qasmXL0jV16tShxyjIZWZmamnx+vfvr7p//74qX/aO2tTBgp38331uOlDTM/T3xVnCwI8zzdKCvdSji1qz98aoYXYRIKT0FwPmz3baZ9cU7rpPHmcwJQimF6n1ehtViwF9VJ3GjFDVav+q+jwKcpKmEwU8Z39/pevUVE0+nJXKRTpYqJP/d8UH9wG4YB9YIp+4g4AULVqUbu/ezSrqXKNGDcifPz9s3bpVfc2FCxcgLi4O6tWrBwcOHKDbU6dOwa1bL2ogbtq0Cb7//nuIjo6G48eP53gffE0PDw8tGzbjGqCfGta9lPzVpFQPmOLi75nfm4xodAZYuzOkfBlKkIuF2qWoU2PsWvYbFAsKgMbvdIWGXTtBmbq16H8xsMEQ6LSP/4O1NQt5FyV/OaxBimCqCyno4PcvJ4GzuHH2PPz80QgY8OMsqN6mJcSfvwQ7Fi1Xn6/2agt4c9xIqpKgCRZ9x3O/j5kI9d58g3zd0N9v/+q/wNlcOnCYokl7z5pKAScX9x+Cnz/8lHwjGYZh5EI4wQ4XnG+//RZ2794NZ86coecCAwMhPT0dHjx4oHVtUlISnZOuwce656Vz+hg5ciSMGzfOQZ+EkQsMMugxZTw56etSvH0bqPTKy7D5uwWw65ffzRKmLAEFkfpdOlJ5JswNtv3nZRSlqUvZ+nXg5Z7d6P5vYybCw+Q7Zr8HOt2f370f3vrf5xSh+eHSH2DrDwthy4+LckR7vvJeL2g56F2TJas2zv4B7t5IAGdy9fAx+HPKDOj4+afQZsggKi6PdUzbfDwImvTuTtdgsffbsdepZikKnyjYYd99smaZusrF+hlz7f49mgt+D9/3/QBKVqtMAREs1DEMIzfCCXZz586FihUrQsOGDR3+XpMmTYLp06draezi4+Md/r6M42ja921oPXgApbaIOXYS1k2bDc8yMuhcoaJFodUH71Hk52ufDobaHdrBr59/ZVTbZalAh1GtUioQFLpQG4apMVDAQ+EN21C4WFY7kN0rVsHZ/8yPLJVAAejrDj2g4+hhpMFq+X4/iKxRDZZ/NpZqs2LetTe/HAk127Wm67Ge5qN79+Dx/RQqWfU8M1P9WsnX42HX8t9BDrBeaXC50lCv0+vw9tTxcOPsBShdtyad2/bTEhI4NYXVvb+vga5ffUHF7JErh4/Bme27QE5wnOHBMAwjAkIJdrNnz4a2bdtCo0aNtASsxMREMpmiiVZTaxcQEEDnpGtq166t9Xp4Xjqnj6dPn9LBiAnW6azbsT2Z2WKOnjBamSGiRlWo1LQxaeuQfav+hD8mTlcLdRKX9h+CWq+3pTxjgVER8P6i7+DX0f+D45u2WdVGTEJbq/2rlNtNSgmSfO0G/PvzUmpX3U6vQ1iFcvDON1/l+F/UUK2bNgesJS0lBZaNGAtnd+2lOq0oEA1duRjWTPiGTLXYf5hyA/th38o/QFT+mDANAqMiqRICfgbMmffbmAlwQs93gule5vQcAI17doVyDepSMXuGYRhGwMoTKNS98cYb8PLLL8Ply5e1zmHeltu3b0PXrl1hzZo19FyZMmXIz65u3brkY9eqVStYv349BAUF0bVIv3794OuvvwZ/f3+zBDjOY5eTAp5FKEt9Qc8i6ucyMzKoyoAjM+ZjgfT3fpwJHoUK0uPD6zbC+ulzSeuF2ig0x1Vr/QrdaiZ+fZaRCX9MMi3IoJkWNT+YAw35Z+582PL9zyZzvfmVCKNkt1jloHyj+iS8SWAhdzSJHlm/SV2wHRPzNuz+JtRo25LMhan3H1Ch9/tJt0iLh1UM7AFqB9+ZNoFyzkmkpTyEJZ+Mhov7DoHooJZzwII5pGld8snncPOi9hzAMAyTm/G0II+dEIIdml+7desG7du3J2FNArVzT55klQf67rvv4NVXX4VevXrRh0NBEGnQICu7Oy4IGCCRkJAAw4cPJ7+6pUuXwk8//QSjR78onWMMFuxyCguY+BUd7PVxcusO+PenJVTGyZ5gbc1BC7+DQijQx10Hn7AQ+n6xvuX53fugTP3adE4Cfa/iTp4mrd7JrdvNrsyAghrWL5V83bAKwO9jJ0GmziYAfbnQB6xOh9fUgqbme5/atgMOr91IzvTWVDSwF1guq8OoTygJLgqZC97/hAILlAJ+H3L2H8MwjKgoTrDDaEV9oBC3ePFiuo+m2GnTppHWDu9jxOugQYO0AibCw8Nh3rx5pPVLTU2l//3ss8/gWbb2xBQs2L0g+uWG0G3SOChQpDBplc7+t0er+Duel7iwZz/8NnYi+XHZik9oCHyw5Hvw8vMlv6Uf+38EAZER8MaoYeQbJ4GBCWg+PbVlO1w7dZZMjtZSt1N76DD6E8jr7k6C0MovJ1NlBKRYcCAVfsdaowiaCVGbFH/+IsSdOA2nt++0exUIW8GSVndvxOutmcowDMMoD8UJdqLgSMEOoxJR8+WW1039XFrKI4r2E41X+veG1tnO/eicvmTYaErJoQmaIJv0eRuqt2lBAhFGL37/7odwN/6mVe/p5e8HYdHloP3wj0i4w7JW3/V5n8yJUrQ0psUILBVBkYhXj56wq3YHgxy6TRpLAqXko4clo9B3DX3n0ISKgRbndu1lrRLDMAzjVFiwc0LHmYube16o2bY1vNK/FwksumBR8m3zl0DsccdF1aFQlK9AAb0Fy7Wuc3MjQQY1WFLE5l9TvzWaSsInLBT6zZtOvmcopM5790NIjrtu0p8qNLo8CXKoCQutUFYtUEnBB3Pe6U/Rnc72J2w75H1KqaEJagRRuLWXPxzDMAzDWAILdgIIdvoEOiy0rWm2K1K8mDq/GGrG0Hkf/bTsSdWWzaDN0PeheHAQJF6+SpqumKPHKZnqozv3tNqLwQSoFUPHf4w23L/KvKSvKJT1nz+LokxTku/AD/0G03vpgp+398wpULJqpRzn8D0Tr8SQr9zWHxbJqsmMrFEVOo/9jHwM9/y6Gv6aOjNHdC3DMAzDOAsW7BzQcYGlIqFJ7x4UTYmam/s3E+FeQiLEHj9FEY6aoP9Z26EfkGCAoOYJ01/s+/0PrQSmKPA16dOD0mVIyVbRgf/PyTPg8YMUsAWsaPD6iCEkpOgDfdLO79oHB/5YRybH7pPHQsWmjSmqdNlnY+Hk5n8tej+MTO3/40wIKVeGoj4xsvHywSNaQt2An2ZT1CYKcUlXYyln2Y2z5+D6mfNkehUpuSsKul6+vkKayhmGYZjchSf72Nmv4zBQoNUH/aBGu9YUmakPTECLSVJRUHm5Z1coVbsGPY9+af8uWEqpN4w5sqN/WbO+b0P9Lh1Ig4eC4JqJ0ywWrtQCaJ8epHnD9uL7olB56M8NEFqhHETWqAKRNatRbjUJjAJFwTIjPR0WDxlFfmTWgEJvv3kzKMjh+fPnsHneAtj64yJK+SEJdRhg8V3f902aaxmGYRiGyYIFOxs7LiA0BPzLloKyDeqSNi1fdj1ZjMK8fOAIeAf6U7SkX4lwCI0ul0PgQwFp59Lf4N8FSyhFhyXJbruMH6XORXZq23/w15Rvc/h2Yf3TBm91gjxueeD+zSS4J5Vb6tRenZcNObphE2yY8V0OjSKC2kTMT1ez/avk84Zm4p8/HK6lZbM25cYbnw2FOh1fU1dI8PT1YaGOYRiGYayEBTsbO27W6QOQqREsjMLO+hnf6S09hSbGCo0aQHTTlygQAH3kNs76wWoTHibfxfqezfq+A3nzuZPAtu2nxbBj0S+kEWsxoA8JTRiJqg/UlJ3C/HILlpAG0RyTY6laNeBuwk27atFQw4k1QKW8b6ypYxiGYRjrYMHOxo6bc/YQ3LhylYQ01JphGSo5cpF1GDUMompWo8eYRgT92CRBCaNpEy9dAe+gQPAO8CetGwZgbF+0XBgzJ6ZEwVx4HoULwU/vDxOmXQzDMAyjJFiws7HjQiMjID4mFkQAa5C2++RDKOrvR49jT5wi86qUQFcJYLoVQ0moGYZhGIYxDgt2ViJq5QmPQoUot1zytetwZsduuZvDMAzDMIyg8ol+Ry1GKDCw4b8lK+RuBsMwDMMwgsOCnQHJmGEYhmEYRmlyCQt2ejouPj7e/t8KwzAMwzCMjXKKKVNsHgCNvB4MBAcHC+VfZ+zLRQE0JCREEe1VOtzf3Oe5AR7n3N+ujqeC105se0JCgsnrWGOngzmdJhI4MJU2OJUM9zf3eW6Axzn3t6vzUIFrp7nt1V8ji2EYhmEYhlEcLNgxDMMwDMO4CCzYKZT09HQYN24c3TLc364Ij3Huc1eHxzj3uSPg4AmGYRiGYRgXgTV2DMMwDMMwLgILdgzDMAzDMC4CC3YMwzAMwzAuAgt2DMMwDMMwLgILdgzDMAzDMC4CC3YMwzAMwzAuAgt2DMMwDMMwLgILdgzDMAzDMC4CC3YMwzAMwzAuAgt2DMMwDMMwLgILdgzDMAzDMC4CC3YMwzAMwzAugrvcDRCN4OBgePjwodzNYBiGYRiGUePp6QkJCQlgChbsdIS6+Ph4k53GMAzDMAzjbEJCQkwKdyzYaSBp6rDjWGvHMAzDMIwo2jpUPJkjm7BgpwfsOBbsGIZhGIZRGizYMQzDMAzDWEABzyIQXrE8+EeUgOKhIeAbGgI+YSEQc+wkrBo/BeSEBTuGYRiGYRgD5HFzg4CoCChRORpKVK4IJapUhMCoCL3Xpj18JHs/smDHMAzDMAyTTZHixSC8UrRakAurVB4KFC4MuiRfuwEJFy/DnevxWceNeLgddw3khgU7hmEYhmFyLe4eHlC6Tk2IbtKQbn3DQnNc8yQ1Fa6dOgtxJ09D3IkzcO3UGUi9dx9EhAU7hmEYhmFyFUV8ikH5l+pDhcYNoWz9OuBRqKDW+cTLVyHu5JksQe7kGUi6EgOq589BCbBgxzAMwzCMyxNSrgyUb9wAKjRqQGZWTe4nJsHp7bvg3M49EHviNDwRwFfOWliwYxiGYRjG5chfsACZVss3yhLmigb4aZ2/dvosnNu5F87s2AXx5y6Cq8CCHcMwDMMwiidPnjyUeqRs/dpQoXEDKFW7BuTz8FCfT3/8GC7uOwRn/9sD53bthYfJd8AVYcGOYRiGYRhF4elTHPwiSoB/yXAIKh0FwWVLQ1CZUlDQs4jWdXduJMDZ/3aTMHfl8DF4lpEBrg4LdgzDMAzDCEvefPkgvFIF0sBF1awGoRXK5RDgJDKfPqXoVUmYS7oaC7kNFuwYhmEYhhGKYkGBZE7FYIeoGtXIX06T58+ewd2Em3ArJg6SrsRCwsVLkHD+EtyKjYPnmc8gN8OCHcMwDMMwspKvgAdEVKsCZerWgrIN60JwmVJa5x/euQuXDx6BK4eOQczxk3A79lquMKtaAwt2DMMwDMM4vUwXmlRRkCtdtyZEVKsM7vnza2nkUIA7998eOLtzL+WRY8yDBTuGYRiGYRyOb4mwbEGuFpSqXR0KeXnlyCWHUasX9x+CC3v2w+MHKfytuIpgN2LECJg8eTJ8++23MGTIEHrOw8MDpk2bBm+99Rbd37RpEwwaNAhu3bql/r+wsDCYN28eNGnSBB49egSLFy+GkSNHwrNnudvezjAMwzDOpqCXF5SpVwvKNahLWjn0m9MkLeUhXDp4BC7tzxLmkuOu85fkioJdzZo1oX///nDixAmt52fMmAFt2rSBzp07w4MHD2DOnDmwZs0aaNiwIZ13c3ODDRs2QGJiItSvXx+CgoJgyZIlkJGRAaNHj5bp0zAMwzBM7jGvhlUsD+Xq1yE/ufCKFcAtb16tiNWYYyfh0v7DJMjFn7tAJlfGvuQBABUIQuHCheHo0aOkifv888/h+PHjpLHz8vKC27dvQ7du3WD16tV0bdmyZeH8+fNQt25dOHDgALRq1QrWr18PwcHBai0eCohTpkwBPz8/EvBM4enpCSkpKfR+Dx8+dPjnZRiGYRglC3KBpSKhZJVKEFWrGpSpVxsKexfVuubmpStwYc8BuLjvIFw9ehwynqTL1l4lY4l8IpTGbu7cuaR127ZtGwl2EjVq1ID8+fPD1q1b1c9duHAB4uLioF69eiTY4e2pU6e0TLNorv3+++8hOjqahERd8DXRrKvZcQzDMAzD5KSglyfVWC1ZtTKUqFKRNHIFihTWuuZxSgpp5M7v3g8X9u6HB0m3uSudjDCCXZcuXaB69epQq1atHOcCAwMhPT2dTLCaJCUl0TnpGnyse146pw/0vxs3bpwdPwXDMAzDuAaofYuqXQNK164BkTWrQWBURI5rnjxKhWunzpCJ9eLeg1R/lc2r8iKEYBcaGgozZ86E5s2bkwDnLCZNmgTTp0/X0tjFx8c77f0ZhmEYRqSo1RKVK5JWDtOPYJkuXTB/XOyJ0xB74hTEnTgFiZdjQPX8uSztZQQW7NDUGhAQQP51Eu7u7tCoUSP44IMPoGXLlmQyLVq0qJbWDv8HgyUQvK1du7bW6+J56Zw+nj59SgfDMAzD5JZI1aL+vlDU3w/8SoaTj1xAZEkILB2ZI/2I5CN36cBhSg4ce/wUpN67L0u7GYUJduhTV7FiRa3nFi5cSMERGPxw/fp1EsCaNWtGkbBImTJloESJErBv3z56jLcY/YqBEhhogaAGEAXBs2fPyvCpGIZhGMZ68rq7QxGfYlTwvggexYpRhQY68mffeniAu0d+usXHmORXej7reHGuUNGiOUpzaYKBDTfOnoe4k2cg7uRpCnZ4dOcef4UKQwjBDnPOnTlzRuu51NRUuHPnjvr5BQsWkNn07t27FBkye/Zs2Lt3LwVOIJs3byYBbunSpTB8+HDyq/vqq68oIIO1cgzDMIyIxe0LFfUCL18f8PQtDp6+PuAbFgqBpSIgICoSfEKDtdKF2IvU+w/gwa3bcPdGPJlSE6/EUGUHPJ5lZtr9/RjBBTs0l6pUKrNNrPYC0548f/6c0p1oJiiWwHNt27alBMWovUPBEBMUjxkzxm5tYBiGYXIvefLkIc0ZmjHRnOnp50tCWUFPT4oOxcOjUEES2FAgc3PPS1o3vC/donatQOHCkL9QQXDPl8/kez7LyIRHd+9RrdTUe/cgPe0JZKank3YtA2/Tn2bdPkmnPHEvnk/Puk7j2scpDyHlVjJdx7guFuex0xSUChQoQMIVasokkyjmlcP0It999x2MGjUKlATnsWMYhmHQDw21ZoFRkRAQVRJ8w0OheEgwFA8JIrOmPcEIUhLcku9Cyp07cP9mEiRevkraM9SkPbpz12xlCuO6WCKf2JSgeP78+XDz5s0cWjFMIYLlvfr27QtKggU7hmGY3ANq0YLLlYGQcqUhICqCAgkwpYeXn69RQSwl+Q5pvlKSkyHl9h2qaZqemkqpP9JTH8OzjAwqZfk8MzP79hmZOPF/M59m0LXpjx/TtemP0ziqlBFHsLt//z6VALt8+bLW86VKlYLDhw+Dt7c3KAkW7BiGYVwXj8KFIKpmdYisURVKVqkIoRXKUVCBPu4m3MzSml2Ogdtx1+DujQS4E59AhepRUGMYl6w8kZaWBg0aNMgh2OFzT548seWlGYZhGMbmklclKkVT3dIydWtRHVPU0ukGEtw4cw5uovmTAgnQDBpLGjWGUSI2CXbffvstBStgxYiDBw/Sc3Xq1IE+ffrA//73P3u1kWEYhmHMokjxYqSRK9+oPpR/qT6lCtHkdtx1dU42TLKbHHede5ZxKWwS7DDH3NWrV+Gjjz6CHj160HPnzp2D3r17w8qVK+3VRoZhGIbJAWrf0DcupHwZKkSPAp1/RAmta9JSHsL5Pfup3BUm2r13U3/CeoZxFWzysXM12MeOYRhGTDDfG5a4Ci5XGkLKloHgsqUgIDIC8uZz11st4eK+g3Bmx26IOXaCfeIYxeM0HzuJfPnygb+/P7i5uWk9jxUjGIZhGMZcsHKCT1gIaeJQeJOEOO/ArBKRujxOSYGE85fg+ulzcPXoCSpGn5aSwh3O5FpsEuww+vXnn3+G+vXr50jiiHl3sN4rwzAMw+gT3jA/nF94GPiob0NIgNNVEkgkX7sBCRcuQfyFS3ATb89foihVhmFeYJPktWjRIsjMzKSKD5jPjpMoMgzDMAhWXSgeHAS+JcLAr0Q4+NFtGPiGh4F3kGHhDUl7+Ahux16D+AsX4eaFyyTA3bx0mfK+MQzjQMGuatWqVDbswoULtrwMwzAMo+CUIliVIah0pDrBb2DpKPArGW60ZBYKb8nXrpMWDg+MVr2Dt9euQ+q9+079DAzjStgk2GEpMV9fXxbsGIZhcglYqL5U7RoQVasahJYvSwEM+QsW0Hvt07QnJLyh0JYlvF2j9CL4GMtoMQwjmGA3YsQImDp1KtWEPXXqFGRkZGidNxW5wTAMw4hNYe+iEFWrOglzeARElsxxDRaZT7oaSzVOEy9fUSf7Rf83dtFhGAWlO8EaeIjuD1epwROc7oRhmNxOAc8iEFWjKkTVrgGla9egFCOaPH/+HOLPX4QrB49C7PGTlFrkzo0ErnfKMK6Q7qRJkya2/DvDMAwjM2hGjahWBUrVqQGlatWA0AplwS1vXq1rUHjDag14XDl8nNOJMIzA2CTY7dy5034tYRiGYZziI1eickUoUSUaIqpWhvBK0TmS/GJE6iUU4lCYO3wUHt1hfziGUQo220obNmwI/fv3h8jISOjcuTMkJCRQebGYmBjYs2ePfVrJMAzDWFVyC8ttZQlyFem2eEhQjuvuJtyEyweyNHKXDx2BB0m3ubcZJjcKdh06dIClS5fC8uXLoXr16uDh4UHPFy1alAIq2rRpY692MgzDMCYoGuAHJapUghKVo6l2Kgp1+bLnZU0fOQxyiDtxGuJOnoYrh4/B3RsJ3LcM4yLYJNh9/vnnMGDAABLu3nrrLfXzqKnDcwzDMIzjqjdguhHSxGUf3gH+Oa7DnHBxJ89A7IlTcO3kGbh26iykP+ZEvwzjqtgk2JUtW1avn92DBw/A29vblpdmGIZhNJIAY9WGkPJlIbxSBTKpojZONwHws8xMuHnxCmniJI0c5o9jGCb3YJNgl5iYSPVi4+LicvjdXb161da2MQzD5DowItU/siRp4zBCFW+Dy5UGj0KFclz78M5diDtxKlsjdxpunDlHSYEZhsm92CTYzZ8/H2bOnAl9+vShvHXBwcFQr149+Oabb+B///uf/VrJMAzjorh7eJBPXFTNapQIuESlaMhXQNsvDkl/nAYJFy7BjbPnSZBDge5u/E1Z2swwjIsKdpMnT6ZCztu2bYNChQqRWTY9PZ0Euzlz5tivlQzDMC4CCm1oSkUhDstyoSCH/nKaPHmUCjfOXYD4cxeybs9egFux1zgJMMMwjqs8gQJdgwYN4OTJk/D48WMyyRYpUoTqx6ampoIS4coTDMM4Ai9/P4hu3BCimzSE0nVq5hDkML3IlSPH4Mqho3D1yHHKI8eluBiGcWrlCQyZ37x5M5QvX56CJc6dO2ftSzEMw7iceTWyemUoXbcWlKlbm3zlNLmfdIuEODoOH+MAB4ZhxDDFnj59mhITx8bG2q9FDMMwCqN4aDCER5eHsEoVIKxieQivWEErfxxuhDHVyOntO+Hsjt2QdJXnTIZhBM1jh/50X3zxBRw5ciSHCdaUupBhGEZpmrjAqAgILlsagsuWotugMlFQyMsrx7Wolbu47yBc3HcILu0/BI/uclkuhmEE9bFDQW7atGlagpumP0iePHnosbu7zRXLnAr72DEMI1GoqBfljQspV4ZyxqEQ518ynNKR6JL59CkkXLgM18+cg+unz1LU6q0Y7TRQDMMwzpBPrBLsMjMzISgoiPzrjKEvebHIsGDHMLk3uCGkbGkIyc4bh8KcvpqqCGreEi5eptQjKMwlXLgIt67GUXJghmEYRQZPoEZOiYIbwzC5kwJFCkPRAH8o6u9H9VTxvl94GPhHlKADz+sDqzbEn78I8ecuQvz5CyTIpdxOdnr7GYZhzMVqWymH4jMMIwIehQtB8ZBg0rBhrVTUvqEAh/ezhDg/vVUbNEFtG5pOswS4i5Q7LuH8RconxzAMkysEu4sXL5oU7nx8fKx9eYZhGAJ92rwD/Ul48wkNhuKhIXTrExpCwlyR4sXM6qnHKSmUL46OW7fhzvV4uBUTSxGqeJ9NqQzD5GrBbuzYsZS/jmEY1wST6HoHBYBn8WJQ0MsLCnp5QkHPIqT9wuoJmM6DbrPv5y9QANzz5wPc7z1//gxUz56DSvUcnj97Tuk+VM+e0e1zvH0m3Wocmc8gb/58UNDTEwp6FaFb1LYVCwqEvCYCsdDv7W7CzWzB7RYJbhiVKj1G8ynXUGUYJjdgtWD366+/wu3bt+3bGoZhnAqaLf3CQykPm2TO9KHbYBKqRAGjTrEu6p34BLh7I4E0bHfw9kY83I1PgPTUx3I3kWEYRrmCHfvXMYxyyOPmBsWCArIDBUrSLeZiCygVoTf/mibpjx/Dw+S7ZMZMS3lIBxajz0hPh4y0J1m3eDxJh6dPnkDm0wwKrsrjlofKDubJm5ceozk167EbuLnlzXrsnhfy4vm8bnTrltedzKFp+F4PH8GTh48g5c5duHP9BqTcSuZ5h2EYxgxsioq1F5999hl06NABypUrB2lpabB3714YMWIE+fFJeHh4UO68t956i+5v2rQJBg0aBLdu3VJfExYWBvPmzYMmTZrAo0ePYPHixTBy5Eh49uyZXdvLMKLiHRgAJatWgsBSkeBXMpyEOL8SYVpVEDRBEyhpwkjzdZO0X6QRy76feu++0z8DwzAM42TBDnfX9qRx48Ywd+5cOHToECU1njhxItWhrVChAjx+nGVimTFjBrRp0wY6d+5Mvn1z5syBNWvWQMOGDek8agM2bNgAiYmJUL9+fcqzt2TJEsjIyIDRo0fbtb0MIwoBkSUhokZViKxeBSKqV4HiwUEGTZm3465T5CcWmE+8EgOJl6/SfTzHMAzDuAZWJSh2NL6+vuS/16hRI9i1axcl5MPH3bp1g9WrV9M1ZcuWhfPnz0PdunXhwIED0KpVK1i/fj0EBwertXj9+/eHKVOmgJ+fHwl4puAExYyo5C9YAHzCQkn75hseBuGVKkBEtco5IkLRlEl5185fJCGOBLmYaxRYoHr+XLb2MwzDMAInKHY0RYsWpdu7d+/SbY0aNSB//vywdetW9TUXLlyAuLg4qFevHgl2eHvq1Ckt0yyaa7///nuIjo6G48eP53gffE0062p2HMPI4QNX1M8XioeFgE9IEAUuFAsOBC9fH/D086VbQyk90Lct7uRpuHr0BMQcPQ6xx0/D07Q0p38GhmEYRgyEE+zQf+/bb7+F3bt3w5kzZ+i5wMBASE9Pz5FeJSkpic5J1+Bj3fPSOX2g/924ceMc9EkY5gWYLiQrB1t2LjbMyYZCXGgICXHu+fKZ7K7HD1LIdHr72nVIvHSFhLkbZ85z/jWGYRhGXMEOfe0qVqyo9p1zJJMmTYLp06draezi4+Md/r6M6+Lp60MRp/6RJcn/LQCjTyNLgqdPcaP/9ywjk8ylFLwQfxPuJSRCyu3bkHL7DqQkJ1M+NhTsGIZhGEYxgt3s2bOhbdu25FunKWBhQASaTNFEq6m1CwgIoHPSNbVr19Z6PTwvndPH06dP6WAYS7XKGH0aEFWSBLjAyAgS4PwjSxhNH4JJc7MiTrOENxTiMBcbPofn2AeOYRiGcRnBDoW6N954A15++WWIjY3VOnfkyBESwJo1a0aRsEiZMmWgRIkSsG/fPnqMtxj9ioESUuLk5s2bkyB49uxZGT4Ro/RgBfRrw6oHmLQXbzF4AYU31MAZqj2K6UMweW7S1RhIvILlqmLg1tVYCmLgygcMwzBMrhDs0PyKEa/t27enaA9J04ZC2ZMnTygSZMGCBWQ2xYAKfIyCIOa7w8AJBNOjoAC3dOlSGD58OPnVffXVV/TarJVjkAKeRShRr3dAABQN9KdC8UWKeUMh76JQOPuQ7hvK+yaRmZEByXHXqc5o0pUYOhKvxtJznD6EYRiGydXpTgxVsujVqxclGdZMUNy1a1etBMWaARPh4eGUoBi1fqmpqfS/mPzY3ATFnO5E+Xj5+YJPWAj4hodm3WLB+LBQelyoqPEqC7pgRYX7N5Pg3s1E8nlDHzgS4lCAu36DapsyDMMwjKOxRD4RQrATBRbsxAfLUBULCgJfTA2SfZAQhwJcaAiZUI3x8M5ddWF4LBKPxeMfP3gAqfdT4PF9vL0PqfcfwOP7KVROi2EYhmHkRvF57JjcDQpnmAaEhLfQF9o3PNDXLa+74WGLCXpRw0ZF4q/HQ/K1G1QuK/l6PNy9Ec9+bgzDMIxLw4IdIwtoFiUTKQps4dm3ZDYNId83Y2AQAgprJLCh4CYJcdfj4d7Nm2wiZRiGYXItLNgxDsWjcCEILlMKgsuWhqCypSC4dCnwiwg3mhYEwZxt6Md259oNSEYhTkMD9zD5jkG/TIZhGIbJzbBgx9iFfAU8wK9EOPiXDKecbsFlS0FQmdJUZcEQ6OP2Qtt2Q8t0mpZi3IeAYRiGYZicsGDHmA36tnljPrfQIPArWYKEOP+IEuBXMpx83wyBPm83L16BhAuXIOHiZYosReEN65wyDMMwDGM/WLBj1CZT9HtDEynmcisWGADFsJZpMBalzzq8/P3Azc3NYI9hNCnWMsVkvCTEkSB3BdJSuBQWwzAMwzgDFuxcFPf8+cHTtzjldfPy9aFbrGOK9z39fKCwtzcU8vIkYQ4T9xqLNNUNXMB8bslx1+AWFqSPyb6NjSPBjmEYhmEY+WDBTgF1SfPmz0+VEPIXxKMgpQPBklZY8ooEt+yjqH+W8IZRpZYm40XQNPo4JYX82+4n3lIXpb+HdU3p/k3K+8YwDMMwjJiwYOck6nV+gwIK3D3yQ778+cHdwyPrvodH9uOs+6hpUz/vkZ8eWwtWTniYfBdSkpMh5fYdiiZNuZ11P/UeJuZNgccpD0mQw9vMdPZ5YxiGYRglw4KdkyjfqD5Ev9zQptd4lpEJT9PSID0tDZ4+ToPUe/fhAQlq0nFH6z77tjEMwzBM7oIFOydx/J8tcOPMOch4+hQy05/SLZo+sWA8asoy0p/SfXwu65p09XVZt+mceJdhGIZhGKOwYOckjm7Y7Ky3YhiGYRgml8KCnYFiuwzDMAzDMEqTS1iw09Nx8fHx9v9WGIZhGIZhbJRTHj40XpkpDwBw0U0NgoODTXaaKF8uCqAhISGKaK/S4f7mPs8N8Djn/nZ1PBW8dmLbExISTF7HGjsdzOk0kcCBqbTBqWS4v7nPcwM8zrm/XZ2HClw7zW2v4fpQDMMwDMMwjKJgwY5hGIZhGMZFYMFOoaSnp8O4cePoluH+dkV4jHOfuzo8xrnPHQEHTzAMwzAMw7gIrLFjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnER3OVugGgEBwfDw4cP5W4GwzAMwzCMGk9PT0hISABTsGCnI9TFx8eb7DSGYRiGYRhnExISYlK4Y8FOA0lThx3HWjuGYRiGYUTR1qHiyRzZhAU7PWDHsWDHMAzDMIzSYMHOSVRr3Rxeea8X3EtMgsRLVyHx8lWIO3kabsdeA5HxjygBPaaMhyePU6ndSVdiIP78JYg9fhJExj1/fuj17STw9PGhvk68fAVuXr4Klw8ehcz0dBCZ+l06QIO3OsKdGwnqtscePwV342+CyIRXjobOYz+D1Hv3aZxgf8efvQDXz5wDkSlQpDD0mf015PPwoP6+efkKjfUrh47Cs8xMEJmOn38KEdWrQNLV2KyxcukKXDl8DB4/SAGRKdugLrQb9gE8TL5D4wT7+/qZs3Dz4hUQGS8/X+g9cwo8f/aMxknS5RhIuHgZrh45Dqrnz0FU8uTJA90nj4OAqAhIvBKTvQZdgcuHjkJ66mMQmUbvvAV13mgHyddvZLX7SgzEHD0B9xOTQGT8ZVw78wCAyuHvoiBVZ0pKCnh5edldY/fxrz9DWHT5HM/P6NIbbpw9D6LSZsggaNrn7RzPr5s2B3YsWg6iUqZebej/48wcz5/fvR/mDxwCIvP55j+gWFCg1nMoYExq0xnuJSSCqHT532io/XrbHM//Mmo8HFm3EUSletuW0H3SuBzPH167EVaMHg+i4unrA+O2r8/xPC54X7V4A1Qqcaf2vnO/gQqNGuR4/scBQ+DCnv0gspDR/tOPcjy/feFyWD99DohKUJlS8MnqpTmev3H2Aszo0gtEZvzOjVC4mLfWc5lPn8JXLTvQxkBU2nw8EJr2fcdua6cl8gmnO3ECefPlox8Wsn7GXNj9y0p4kHSbHusT9kRCat/+VX/Btp+WqLUv4ZUqgMiEVcxq95Ujx2Dj7B/g9Padimh3EZ9iJNQ9f/4c/pg0Hfb+toY0YHnd3SGkXFlQwlj5b+mvtNChBkkJfS61++zOPbBp7ny4uO+gItodnj3G79yIh3XfzIZDf20gTZJ3YAB4+vmCEvp8yw8LabygNkYRfZ7d7mMbt1DbUXOkpLESf/4ibPj2Ozj292Z6HFyuNK1PolI8JIiEusyMjKz58Pc/4HFKCllkgsuWBpEJi64g29rJplgngAPQPV8+WqC3/7xM/XzDbp2heIi2ZkY09X1ohXJ0f/eKVXDz4mUyH/eZNRWKBYvbbs2J7PS/O2Hnkl/Bo1AhmHhgGxQq6gUehQsJa36QJoNbMXG0AUCwzVVbvUKTnKjkL1gQAiJL0n0c47iTTr52nUyzxYPFbTcSXrGCerE+un4T+ISGwKiNq3JoTUUjLLvdaHrdsfgXuh9Zoxr4hAZTn6fcyto8igb2q6dPcXiWkQlbf1xE2pfH9x9A6w/7Cz9WpD4/+Md62gCUqFIRBi+bL/x8KLX7wt4D8O+CLM1ddJNGkL9gAdoI3MkWrEVtN6490nxY1M8Xopu8JPRYyYNrZ7R8aydr7JwoZFw7fVb9nGRSE3nx8CsZDgU9i8DTtCfkH6CUdmsKSNdPZfV5+uPHkHr/Ad0vJvCEII2V6wobK6EVyoJb3rxkBpTMI+p2C7zoubnnhZByZej+teyxgp8BNab5CniQBlV0rZfUbuTeTfH7XNKmJ1y6TEKdUsZ4QS8v8A0PpfvXz5zXandRfz8a/0ocK8VFHisKHeO+JcJkXTtZsHPiRHb99Asn8rsJWY7wxQTWwkg/qvhzF8jEo9lu3HHjbk9UB+eiAX7UZjQ9SEhtF3mnZ2ysiKzdVU/A+sa4wBNwYFQkCXBpKQ/hzrUban/GlNvJihwr9xQ+xosJPcazNDC3465DWkpWcApuYlA4RVcJnHNEBM2WQaWjDPe5EsaKRgCWFEQmtEBa8YXpW461UzGC3dixY8kZWPM4d+7Fl+3h4QFz5syB5ORkcixctWoV+Pv7g7CLXvbgFHmHKg3Oaxo/qicPH0Haw0d0H1X4Ircbo6dwxyShBA2SUQEpSGFCxs2sqLUChQuTtkPodp89rxVscC9e7EWveGgwFPYuSkIFmnmUOMa1xkp2f+OcksfNTTFCBo6ZF30u5ljJ8qNzh4d37mpFkr4Y42KOFRwHaAnIOa+I3d+GxjitnSkPnbJ2ivkLMsDp06chMDBQfTRs2FB9bsaMGdCuXTvo3LkzNG7cmKpIrFmzBuQGfbv8s32PMJxfd3CiCh93VEpZrLW0AoJqG022W9AJASfYIsWLkaNwwoVL6ufVC4fI2gw9ix6mlUnJNsuKqm00OFYEN1NJTvwJFy5rpWR5oZUOFNb3SL3oacyHD24nk88d+iJ7+fmA2G4ShsaKmPOKUtvtXzKcNoXoRoPpfHIoRQQd45p+u5pjXKvPHbx2Kkqwy8zMhKSkJPVx507WooHhv3379oWhQ4fC9u3b4ejRo9C7d29o0KAB1KlTR37fIzc3+kIf3bmnfh4DKdIfp9F970AxNIuaZEVhlsnh76XtKxAk9KKXU7ATW5sRXimablED8ywjI0e7C3l5Uc410UDNkW+Y5Huk0+dqzXSQ2BOwzhh/sXiI2e6w7Mi6HP0tuPYI/XZxDGf5Hr1YrDEH3P2kJKHHSpjJsSLmvKLUdkvRozfOXdDKEaipFBExotdN029XZw1ylvVFUYJd6dKlqaTGlStXYNmyZRAWFkbP16hRA/Lnzw9bt25VX3vhwgWIi4uDevXqGXw9/B/MDaN5OO5HlTNJq7Okd2sILB1JCVsxtDw52/dIKT5foXo0Akrw+dKnvkeepqXRRkDUtkv9jcm20dyglDGOvnWBpSKNajNE7G9tTaOBMS6oi4c0H2r67eoKpSLOK17+fiRI6PrtKkHzJW1eNF1qlDHG9a+dmkqRYkHiuQMFlYqiuQXXTslv19ljXDGC3YEDB6BXr17QqlUrGDhwIERERMCuXbugSJEiZJZNT0+HBw+yoh4lUKuH5wwxcuRISvgnHSg0OsNEpWsaFHESln5UN7Kjv5SyeGCqihe+R9pZ7F843QYpyiwoeuCHsTEusjAdUrYMaabRXHw/6ZbWOZF9YMn3qHxZvRqBB4m3SPjAhQWdtIXNEGB0rAQJ225dv13RxzhqR7ECgr55RRrj3gH+pGVSykZXa+0UeD68cUbbb9eZY1wxgt0///xDARGnTp2CzZs3w6uvvgre3t7w5ptvWv2akyZNIjOudISEhIBzB6fkOxUkrDlTd+EQvd0vopEu5SgHJe1Q0Y9NtIheTUdhfYueyGZkc8aKiD5fxgRpkTWNmC8QfXfR9wjzHWqiGdEr4lgxaz7kdtsNKQ8pCnGS1l/i0Z27tAHGNC2ojRQJ3HAFly1l+vcp8Fi5JuMYNztB8Ycffmj2i86ePRscDWrnLl68CKVKlYItW7ZQVGzRokW1tHYBAQGQmGi4BNPTp0/pcBSYMRuThUpRd0rSfBld9JTQbj3CkRSVVNDLk9qu6ZArjqNwGtzS0y6RtRnmaBqFbrc+QTo7ohcFKEwQLVLtVbVG4Ky275EELuIYdYfaXc38X0Is1uVK6zUhix7cZHQ+lLS7gYG0QROpZqyxMS5F9KLfI/a5SOUKsVITBhVi7lGsrKKLyD6wYWasnY4e42YLdkOGmFdfEweLMwS7woULQ1RUFCxduhSOHDlCAlqzZs3UkbBlypSBEiVKwL59+0DuvEe4q9b1PdLWZog1ONGMg8Wi9fmp6SblxB+flGRU9B+VtNMjwS5YLMHOmO+RyAlcMXcX5g1ETVH8+QsK1cLkHONSRK+Xrw9p7YQS7IxovUT2nTLmt4vcFXSMI/oieXUjejGlCEb0SuUiRR/j0lhBwS5LQDoG4pkzlTXG82n67RpZO3HOdOTaabZgFxmZ1Vi5+Prrr2HdunUUEIGpTL788kt49uwZrFixgvzjFixYANOnT4e7d+/SYxQu9+7dS755sjt/GhicovpmYE1S8j26nax3ksJdFJqBUJuBEb36Jmk5QJNCaPlyRicy7HMs8SbaTs/YzlrkFDNShQ/Mrp7xJD3Hed2I3iePUkEECngWMeh7pKmJQcEOBQ3UjokeOCG6ltSY366231QgpUXR9U+SC5+wUNLa6vPb1YzoRf9e3KQLJdipqx4ZWIMETfZrKOBD9Bx8IZLfrjlrZ1AAJMddz90+dqGhoSTEYbTr77//TqlO6tatSwmJJY3i+vXrYfXq1bBz504ywXbo0EHsnXX24KRyNAI5r5rSemlH94izeGC+QI9CBeFJaircir2m9xpRfb5MjRVRzfamxgpG9D66e0+4STgs2/fozo0Edak5XUSsDoPpHaTi5wYXPUG1pMZ8MREMYKHADw8P8oMVLXBCn9+uyKlDsA9R0MTyeDf0uAKJvQkwMR8KGokcZsba6Qxh2myNnS4YaPDaa69BeHg4pQ3RZNiwYWBvunbtavQ8RsV+8MEHdIi3W9K/s8YFLyM9nSYyjEySvnARa9vqmxBQ5SySoCEtHBSNZMDPRcSJLCtnYPZibcAnSlqspcAP3cg8kccKmk2kRUafxkNErZeWuUegMR6Mvkf58pEj/N0bCXqvEdVXzVSfP898Bg9u3ab+RmEaKyUobqwI1OfSZhFdgdJTHyvGpJm/YEEKEDI6H+ooRXDsiFqtSV+fY4k3R44VqwS7pk2bwtq1a+Hq1atQrlw5qghRsmRJUp9jcmAmq2QImnHQ9wJ3evqQnFfRJIRfsiiCnbHceyJHxlqiaRRpIjPlKIygCRN9k9CkKUrgh1YVARM7VLxOpD43Z4yrd9YCjXEpaauxhUPtqyZQf+NmRPI9MqSxkzZeOL6LBwXCtZNnQCizoLF5RUCNnTRWrius3ZTUP29e0uBiLV5lKUUqCLEGuVmbJuSbb76BypUrw5MnT6Bjx46ULPi///6DlStX2r+VCkRdr/TyVXLENoRoYdsYWOBXIsyov5eokbFm7ZYE1GaYchQWVZj2CQ+l8YK+dTcvX1GUNsNYPjWRNXbmbF7ua0T0Yk5HEcBM/LhYo0Yu5dZtxYxxbHNIds5AczR2Is4rxufxRK2IXhEwZ7OoVaNXkN9nAc8iFIhiai53xhpk1TdZvnx5WLJkibrMV8GCBSE1NRXGjBkDI0aMsHcbFcmLhcN4ugHRTINSJG/y9RtGIwFFi+hF3yPUfJmcgHWikpTgKCyqMK32Pbpw0agpRLR2Y+Je1Kij71G8kaAISZshyhg3d9FDJ3/RctmZCiSTEG2xDogqSdpG1JhjZRVDiJjQWsphZ2w+1I3oVcrmRcRck2HZv020uhjy23VW9LdVgh0KcZJf3c2bNyntiISvr6/9WqdgAqKyzA4JBsywopoGzW23aBG9qGVE3yM0VxrLxyRFJSEYlSQCUmoZ030u1kRm6RgXpd2SSRDL/UhjwdjCgVpJ3I3LDfoSSRqBBJ2yVqJvGAPNHOOiRX8HZo9xrN9sLEpX01cNXRTkBn1acQODm5cEI36tmjV6RdnASL9P3DAaQ7SAssDsMW7I9cqZY9wqwW7//v3QsGFDuv/333/DtGnTYNSoUfDzzz/TOSZL0EBumwhnFs00aH67E4WK6PUNz2p3cpzp1CuiaRtf9LlhjYDY7TY+VkQrhyaNFVPtxgAVdUSvAIsH9h8G2mC70KSppLHia+YYf+EfKFq7jY8VrYheAUq5SWP8fmKSUVcgLW2jAMI0CsW+YaF0/3aseWuQCO3WHCvJJsf4TXX9Yfw9CyPYDR06VJ0fbuzYsbBt2zbo0qULxMbGQt++fSG3g74KxbMrTpjKUyOaxs43LMSsdmPEGvpWoQ8KOq/KjW941mSQfM10XiCRtI0FvbwoRxZy57rxWsWimTTVE7CZYxwrsWDEmyhj5bYZY0UkH1j1GL9+w2SON82ccGKNlRsuOcaliF5R+vzFfGjGRlcgX1Ivf19K8ovmYWksKG+s3DB63aM797LWTjc3KBroL45gFxMTQzVbkcePH8PAgQOhSpUq0KlTJ7h2zbi0mhsoFhRAZkH0ddEtLm5IyPAOCBDCeVW967huwYQgwO7at4QFE5lA2gy/7HZjMktTKUxEy6sm9fkdE2NFiugVZtGT2m3GWBGpdJFaK21OuwUa4+ijhhVKzGn7i1JuBWkjIMy8YsZ8KJJm2qL5UCBfUmmMY1/qq8AjsouHrwVjxdHBNjZJEvny5aN8dhgRq3nkdl7srONN1g1MuX0HMjMyyHm1qJ+8/omoFpZ2P6Z2qNpmZPkXaz/JvGaOFkYgbYYl2qO78dmBH74+4O7hAXKC/jsYdYmTLyb5NcW97LYL0edmamFE06hbopUWaYxj5QbJvzUtW8A3xLOMDHXGfhE0MdJYMadCgIhj3Jx2i5QexxrLiwhKkbzu7mohzaw+d3CaGat6o3Tp0lTdIS0tjUp8oQYPDzTF4m1uR9p1mKMRIOfVxCQhNDFoPkbTKjqUG8ofpC/7txjaDGVq7CwZK7goYlUNSSssgmYXNSy4GJvi3k0xtALow+MjuRuYtbMWo91a2nQLxrjSfpsiRTtiwIxUAcOUm4RoKU8ssrwIpGmUNujmjBVUikgRvXIrRYqFBGWvnWnqiHTFaewWLlxI0TZt27aFGjVqQPXq1emoVq0a3eZ2LNHCaO705P5hqXd55k7A8WJMwOiTgekrzN+hiqPNsHisCJIOwpKdtaa2Ue4+LxrgTw7uqCWX8r2Z1W4BzD0WaY+kiF7PIrJH9EpBNmaPFUF8p6T+xoXaWPS0iGXFLNPYZWu+ggJkj+jF3JjmjhVUitxLFOP36Sdt0M0QpJ0xVqwKyahatSoJdFi3lbHNF0aksi6WaAQ0tRlyT8BYfBtBPy5jufdy5LLLjkoyVP9RyLGSkFWORm5h2toxLvfmRRIysByXKR8eLY2dzGMcI8+l79wcLYwU0SuVcku4YDwFgyhChki+Uy8EUkvncXnbjd85CvSofDHHTQKDPjQjes2x1gjT5wmJNL5w7Yw5egJk36DHXRdirFilsTt79iznq7Pj4BTF6dbidqu1MEGKSXWiFdHrwKgkV9dmWD5WxGi3NYK0CBG9mqlOUm6ZNvWIpJm2xCwo0hj3VfgYp1QnT5+avB4jeqUgPznHilaqEzPnclHcanxLWKaxu+fgsWKVYIfVJaZOnQqNGzeG4sWLg6enp9aRm7Ek1YloDtrmpjrR1WZguhP0L5A7stRc4UgUDZIlqU5E02ZYEoCgpd2Vu90Wmr5Fiei1JNWJcIteuHWLdTGFjXHJV1ruiF5LfRpFmQ8tSXUiWsoTPwvHuOSf7h3omLXTKsFu69atULduXcpfd+vWLbh37x4d9+/fp9vcjCWpTkTLEm/pzlozohdLdMnvl2HBRCaAltSSVCfijRXzUp2IFtFrSaoTkXxgLdU0iiIgUaoTfynVyXXF/DYtTV+hG9Er61ixINWJSP7SlqQ6Ea0aj4+FPscPbydnrZ3u7urfh+w+dk2aNLF7Q3JjqpOcu44s51Vzd+RypjrRjOiVfBykHavIqU5yRvTKr4WxpN0iaHctTXWiGdFboHBhGufG6m6KpIWRtI0h5csIMVYs00rLr83QTnXy0CLtUYEihamcm7n/J7dvoNR2zNmHY8VUXVzR2i33WLFqjAugscurmerETGEa13gM3sLPjGNF6n9ZBTtMdcLYnr5CAnd56MCPRek9/XwhxUS5IBFSnWju9HAiKR4SLJvzqlWmB/UONctsrpSxIk1kqCHNmy+fWalG5E51kjPwI1gWwc7SVCe62kZZx4qF/l6a7faRdYxbLmSg/yv6weIGAjUx8TIIdpamOpFAbVPJqpXEGCsWjXGpfmmwIlKd6PMjRTcoc5UpcqY60Ww7/j6wz68eOW7XNlmd1a9o0aJUWmz+/Pl0fPzxx+DlleUvlJuxRguDmg/ph+WfXeRb9FQnEtLnlKvdlqY60W23VFRdKWMFIx3THj6iwA8pgEEJO2tNLZlcY8XSVCcS0ueUq93WamGkduNCL1caCz8rhAy6Xj1WSoASUp3kbLcyx4qc86Gl5kzkfuItyEhPJ6WIXBp1PwtTnUhI348j+twqwQ5TnVy5cgWGDBlCwRN4oJCHz2Euu9yMpRGaEreuxtJtQGRJUIpGQLPd/jK1WzL1YJoTc1KdiNLf2mPluqL63Bp/LxHabWmqE4kkmdutmerktgV9jsIUOqKjM7+0+VHKGE8SZKxYsukSod2WpjrRbTcKR7hZlrXPLVg7UUMnbRgDIuRdO29bOcYdsQZZJdjNmDED1q5dCyVLloSOHTvSERERAevXr4dvv/0WcjPW7lCTYrInhIgSikhfkWMik6ndVmsa467T4o5+PHIFfuS6sSJzu60VSKUx7hMaTOZvOVOdoNO1uWAaC7VGXbY+l7TSChsrUvqKa+abYR29WDsi1YlE6r37dGRZAsJlTXVi9YZR5jGebGm7HTjGrRLsatasCVOmTIFnGrtevI8pUPBcbsWaVCcSt2Li5NXCWJjqRLfdqI5GzYISUp0g6Bsm7WjlmIStSXWi2+eyLR5WBCAgt67K3G4rTN8I+pyS+TtvXlnM39akOhFmXrF60VPmGKcN4/Pn9NuWfPSU0N9y97k1qU5EGSt+1o7x7PkQx5q9106rBLuUlBQID88p1YeFhcHDh/JEMCk11Ykwmi8rtUe4M0QfFEx5IlWAED3ViQg7PWtSneRot1z+RxamOtGdgNEpHgVbJaQ6EWGsWKtplLvd1qQ60W03CtJyFHi3NNWJRGZ6ulowkWWsWJHqRIQ1yJpUJ6KsnT5W+hyjjICZAnDtlDYS9sKqX8xvv/0GCxYsgDfffBNCQ0Pp6NKlC/z000+wYsUKyK1Yk+pEd9HDZL8ehQuB6KlORNkxWZPqJIe5R4Z2W6s90p3InO0Ur5XqxEJN49O0NHVYf4Aci4eVWhhRxoqlC4dmu+X4bapTndy7b3HKEoygxuhYdIqXI1LTmgAEEfzsbGq3Use4jP2dVyPViS1rp7+d/QOtEuw++eQTWLNmDSxZsgRiY2PpWLRoEaxatYqqUsjNoEGDICYmBtLS0mD//v1Qq1YtJ++sLf+Cnzx8pA6VtveX7KhUJ44enBZpGm36UcmohbGi3RhBjVph1Ihg4W55Up0kWlVjVy7ToFaqk2vK2rzYNMazzT3yaKWt1zSiyflWrDx9rpnqxCaTppzz4TWFbtCtGOOS+buwd1Gnm7+L22nttHefWyXYZWRkUHqTYsWKQdWqVemQImOfWuCw6QhQizh9+nT48ssvoXr16nDixAnYtGkT+PnZP7uzPf0b5FQpW+u0Kne7KdVJgL/NpgdZJmANvylLQW2ZOnWIk9uu1DGuleok0TI3CbnN37b8PuU0f9uilZbTjKyZ6gS1zIoy29syVmQ0f0vmTEvdO+Q2f/vauHY6auNl07eHGrHTp09DXFwctGjRAsqVKwdyI+XWQw3iuXPnYMCAAfD48WPo06ePsKlO5N4xWZvqRO52W5vqRLfdmCkeo2OVorGTdazY4O8lZ7utTXUikaSh3XWm+dvaVCcSKJhIFWHkGivW+DSKMFasFkjVWukSikh1IoEJx+Uyf1uT6kQES4CvzWunZEYuIYaP3fvvv0/3CxQoAIcPH4bff/8dTp48CR06dAC5yJcvH+XYw1q2mip9fFyvXj1h01fofskBTp4QbDGZyLlDtTYaSZ/528/Jmhjbx4o8i4fdxoqT222rQIoCoRzmb2tTnQhhCch25LdGINUSpp09VqxMdaLb3/jd5S9YEERPdSKBfuFymL9tSXUit/XFz8b50FG/TasEu0aNGsGuXbvo/htvvEFfjLe3NwwePBg+//xzkAtfX19wd3eHpCTtrPL4ODAwZ1bq/FjCy9NT65Aj1Ym6nWq1bElFpDqRwEGN/laUE84BBY0d4XArZ94pW1KdiGK2t8YXRtNBGzUCqBlQillQLvO3LalO5M6tZosjv5LHOFoPsCQa4lcyTDFuEnJt0m1JdSK/2T7EtrUzO4k41tBGy5Gsgh2WE7t7N2vgtmrVClavXk1m2Q0bNkDp0qVBKYwcOZJSt0hHfHy8UZNIz+kTof3wj8lZ0p6pTnQ1dujkjbt0e9GsX0/oM/trKOJTzK6pTiRQqJMEFHsuHmUb1IVBi76DklUrO0QL46gACtyl95s3A1oM7Gv3VCc5tLt2FjLaDfsQ3v7mK4OmaWtTnUg8unMPHqekZCVCteOiV7XVKzBwwRwIKhNl91QnjjQN4mu9v2geVGvdXFFjHOkyfjQd+gR0/A2oU51YOVZwsUSBupCXF/kI2ot6b74B7/3wrXojbq9UJ5o4QvMVXjmaxkq5l+rZPdWJI8c4BqP0nz8Lmr3b0+6pThxtwWj2bk/oO+cbh62dmET8zg37r51WCXbXr18n02ahQoVIsNu8eTM9j8EUT55Yt1DZg+TkZMjMzISAAG1TCT5OTMxKs6DJpEmTqL6tdISEGM7DVqJSNFRu3gQavd0F3vrq8xzOpbakOpHAhZ7y2ri7qyP4bAXb+Uq/XhD9ckMY+NOcHFFDtqY6cWQW7Ze6d4aoGtWg3/fToWSVSnbXwjjK/F22fm0o17AutBz0Lm0EHNHu27HX6Ba/T4wGs9cE/HKvblC1ZTPo9/2MHGl3bEl1ot9h2H4TGba7VO0aMGD+bAgsFWl3LYyjBKSa7V+FyBpVodvkcVC9bUuHaKUdYf7GBa32G23p6DVzco6KHNL8ZU2qEwncJKtraNuxz5u9+w6UrV+HNgL66ovaqml01Biv1/l1Giu9Z06B8i/Vd0i7NX1J7UWFxg2gTN1a8OpHA+DVjwY61PKSZf4uAHZbO9/rRe135NrpCM20VYIdlg1bvnw53LhxAxISEmDHjh1qE+2pU6dALjBa98iRI9CsWTP1c2gmxsf79u3LcT1G8GJCZc3DEIGlXmgCarRtRTtVSbjDBaX9iCF0Pzkua8EVZceEZZCkgY4LHu6cJEEAd6w9Z0wiDSQKlNaEazuq3VJ7EVRTo6ARXqkCPUbhou2Q9yGiehV6fDvWHou1Hdtd+sVYwY1Au08+VD+ObvIStP5wAN2/bcNYQU0f7nDtOSEERr0QiFCQ7vfddLWPUEBUBPT4+n90H9/XmlQnOdNB2Kfd+DsMiIyg+zj5Dvhptnocosm74xfD1WPJlj53hKOz1C7UYHb96gu15g5/ky/16AK12rex2xi3p/k7SEN4Lt+wHvSaMUkt3IVVrABdxo+yecFzhFM8aqKlxRiFgIEL5qrr6GJpwe6Tx9EYwgAE0bSk0lhBy1CvbyeRcEqP8+eHV/r3hopNGtlvg27HMa45VlCobvl+P/Xjyi2aQosBfWwe42j+fnT3Ht33KxmuyLXTnmuQVfa+efPmwYEDB6j6xJYtW9S+H1evXpXVxw7BVCeLFy+mgI6DBw9SWpbChQvDwoULbXpdycQTd/IMhFYoC7Xav0pCI2aNliZj9KvYOn+JTe+DO73wihWyJrJt/4GtSAIpRkm5588HwWVK0QA9s2M3NOndnVJAoI1//fS5Nr3PC//AEnafgGOOnYSIapXhvR9mwtYfF0GjHl3U/ghHN2yC66fP2tBubfO3LQKLRFC2YCe1++We3bIjzYKgQqMG6jxwO5f8avNYwcUJxwq+l73anXj5KpnRUHB+d940uHHmPDTs1lntxL9x5vc2vY+9E4pKEzBG9OFr4+9zwII5sHPJCmjSuwcULuZN1+1c9hslvrW13fY0f0uLdczRE9Tf3SaNpUUDTcv4W0XiTpyG4/9ssfo9cF5C8zeaNNH8ffPiFdvbnT1Wbpy9QEI0ajXemfYVmdprd2hHgiqWYdv03Xyb3gf7HF/bXhtGaT7EPnnyKJWc3wf+PAcO/rEemvZ9mzaRKNRtmjvfqlQnmu1G7NVu3LxIGy9prPSeNQU2ffcT1O3YXq31Or97P5zfk1OJYS4oXGmavyVfQXuMFWk+REEOrQEo8JWpV1u9Pu365Xeb3gf9d1EoD4gsCfHnLipo7bS/D6zVjlxHjx6lQ5O///4b5AajczFn3fjx4ylg4vjx42QuvnXLOr833Ql494qV8DwjE7pP+RJqvtaansMfwt7f1sA/c+dbbXZwlFpWEkivHjkG/y5YCgN/ngsh5crQgVzcdxD+mDRdvWsQpd3SjwojvH7s/xG8O286mWXbDfuAnsfd9B+Tp8P5XdZPYprmb5zQcXKUPoc9xsrmeQvoNTt+/ik07NqJnsM8ajsW/QLb5i+y2r9OcyJDk6/d+rx0VrvP7twDJ7fsgP4/zqQ+xwM5uXUHrJ06U109QrSxknjlKvzY/2MysQWXLQ1th2aNlYSLl+GPidPg6pHjNr2Prvk79f4DmzcvUtb6nwcPJ/9GNG2+OniA2oy5YeY8OLhmndWBE5qbgJJVK5FQag/BTtoE4Mbq5qXL5MMraYyQQ39tgPUz5pKgZ1u77TxWssf4jbPnYeWXk2HQwu/IhCn1OQrRayZ+QwKrPdqNJmvU6ljrOyaB2lZp8/J9v8Hw9jf/o/5Gy4U0j639ZhYc/+dFRghbzN84b2Gf20Wwy54PN8yYC+GVouG1TwdD47ffoucy0tNpXfr352WUj87WMY5zlb+dNl7OWjsdEfhhtWCH/mivvfYaae0wulSTYcOGgZzMnTuXDnui1mZcugoJFy5Bnrx5ocuXo2iCWDNxGj1nD+xt0pR+VNhufO3v+35AjsO4UKz9ehac3LLdLu9zO9tZGDU9uGDhbtgeE/DNy1dJAFow6BPaoeLE8O+CJSQcWRPSrw/sF9KSRpSwWbBDzZy0e0bNF/74cbeNk9nlA0dIGLXFB0a33fYcK5pjHLWgPw74GN6d8w0JMH9O+RYu7Nlvl/dRmx5KlqC+sdYnVXcCxv5GkwwufP3mTacFGzUae35dbfPCqmn+Ji1pRAmbtaSSBgaDrbDdv4+bRO2s9XobOLB6LWyc/YNV+RkN9TkKdvYTpiM1xvghWDh4BLwzbQL5XuJ8GHvcdg2yo8c4CkPz+nxAG5iCXp7w97fzSCC1VYh+UUM7DTwKFSQNrK2/eXW7r8bQvLdk2OfQY8qXUOHlhrBr6W+w5YeFVP3AXn1Ogl1kSbhy+JjdNi+JV2LoN4O/eRSkz+/eB39O/ZZSCdmr3Yi/vce4vrXzm9lwcvO/dnkfKdAGXQHQzxnTcMki2DVt2hTWrl1LpldMSoxJikuWLEmmSV0tniuAHY6+OmimkwbPsb830xdrD9OdI4MQpAnh5qWsXToKLhNad6RoHHuCghxOlGgixbZfO2W9eVRrIsvWLuCk9f27H9rNXOoo8zd+dmwjCkNSjrw9K1bB/pV/OqDd9tZ8RWqNlWsnz8CXTdvZvd134xNop44pDjCaXHKQt7nd2WMFNV0zu71L85E9BDq95m97CHbZAqnU3yjgohZpzYRv7N7n9jR/a25epLZf2HsAxrzUyv7tzp4P0Q8OfWttFV50xzgKYF+/0Z0Wa1s3GJrg66GGF90C0JfUVsFO2ugmZrf7WUYGLB46yiHzoWT+tse8ot68JCaprVk7Fi2HXct+c9wYj3Ds2ql69twuwr9Eeupj2txhFSVaO0+ekSd4AqNJv/nmG6hcuTJFwXbs2BHCwsLgv//+g5UrV4KrIX3BaP7T1BLZe2Bq5rXBSUwql2WXCfjyVfXz9hbqHFFwXD0Ba7TbUX1uzwlBPQE7sd3FgoPA3cPD5s0Lmhc1Ny+OajcuoOqccHYYK5q+gZrvYW+hzt6F0oM0NAJKGuPS5gW1idLmxVHtRmEgJdsx3R5O8frGCo4Tewp1OQMR7DjGnTBWpA2jXeZxafPihPlQXRKtZLjelGT2WjvtKdQ5os+tFuzKly8PS5ZkBQlgepGCBQtCamoqjBkzBkaMGAGuhu4uz5HgwJFy4tg6IWhNwLdug6OxZwTbi4nM8X1uT3OP7i7PkaBmCjWD6Kjub+OiJ41x3c2Lo7BXoXR92iOljBXJqdyZ7ZbM33Zxk3BCu+3Z556+PrR5QUHOHr605qYOsetGV2FjXL15sYNfp7nmb/d8+QzmKDQXFA7lWDvtFZhl1S8chTjJr+7mzZsQFRWlVf3B1dD04XEG9tpdv/BTc9IEbKd2a03ANjqmOtv8remXoaQ+16fJUEK7DWmPHIU9zd/qRc8Jv080f6PALpm/c+NYMWR5cXi7bSxXiGlkpNJVupovRyDNuZL52y6bFye0WzJ/2yOVkrTmO2vttLcZ2SrBbv/+/dCwYUN1JOy0adNg1KhR8PPPP9M5V0PXh0cpOyZD6nvRdx1aE7CNkVLONn87U2Nnz7GiVC2MXO221fxNm5di3tnaI8dvXuxp/pZrPvRX6FhRmuUlLUWzJFq4ndwNnNTnsfbpc0NuEo7C3vkarRLshg4dSnnskLFjx8K2bdugS5cuEBsbC3376i+jpFQ08wc5Y2dtzx2qM9X3Wtm/Q4NzZKIXeQK2l/lbM/cept5Q0k7PmaZvh7TbSdojTIIqmb8lLYo1BGWPcWdtXuyZh+9Fnyt0rDhpjKMgjYJ7Qc8iJMgrRXukHWxTwj6bFydYXuxr7YqSZe30sXHttEmwi4mJUVeYePz4MQwcOBCqVKkCnTp1gmvXbKu8IBrY0Wi+wFQHmKjQGdgrgu2FWdA5gxNNYZiUFHeXkt+TNQSVcu5iba8JQTP3nj1C1p3lzK9ZucEZJhOpAgQmgsWJX0ogrITNi70cnQNlGOP22DBqb15iwBmoneLDw6hmt70DshwFRq7ao4a2s7VHWmPchk2AHJsXe7RbN52PM8DKFRgohEEftmwYJaz2oi1atChp5yZOnEg1YpFq1apBcLBtTouiIe3ykq7GOCRySh+Sn4CXrw8U9PKyS/4gZ6E2sUVlCQpK0Ni5Qrv9bYgE06zcYEsNWEvA95KqQNjS587WwthrrDjbZG+3Ma6xebE1Gbu5YCoITHOCVX6keqi2WF4U1+dKHSsyttvfRsuLeu105sbLDn1uk2BXqVIluHjxIkXAfvLJJ+DtnbXj7tChA6VCcSWkwenMLxgnMSm3l7TrsUf+IGcg9ZNmfUBLwNxjL0zfVxXTbjl8GpF78TdpvGhGh1qtPXLi5sUefS6H9khT4yPt6pWgEdBqtz02L05sN5J4OSZHHWZrKzc4a/Oi5LGSaId2y2F5QaXIs4xMMn9LNYBtSRwux9ppS5/bJNhhPdZFixZBmTJlKI+dBAZSNGr0oqyMUilRuWLOnbWTHIUlpF2OOV9y+UYNqPB55eZNTOYPEqndaBLqOX0itBkySP1c8dCQrAk4Pd2mItyObDdmB39j5FDo9e1kEi7kNAtiJJh60TOj7dVebUGlcUrXrZUz6tuJ7ba0zzHRa98531A9Tzm1R5r9ZI5AWsSnGLw5biQVl5d8Z3DzIu3KnTlWbsfEZS16Xp4mg4TQneKV93pRbUwfDS2ZM9NXWNvnkTWrUYWAup3a663c4NTNiwXtxk0KjpNOY0bQGJFTeySNS6yhja5IxsDzbT4eCO9+N43qy8ppwaA8nLFxWu9vDKzygmXlImtUlbXdmu9nD8HOqsoTtWrVgv79++d4Pj4+nuqzKh0sMn86u5CyHLsl6f2iX25o9EvGahivfzYEarRtRY+xSDGWaUF/QNkmYDN2HWgyfLlXN2gxsC8VUkZO/7uT6jRKGsqkK7FOnYA1Fz2snoFVNAwJ0Z3HjKBrkITzF2Hz9z/L4sgvge9XonI09bmhEnFe/n7Q6fNPIbrJS/QYF/bJ7bpQHzs7RYtmu02NFdRENh/Qh4puo7BR7qV69BlR6JdLeyQ5sfuEh1JkrCH/IRSi3/hsiNqH8PKho1QqDLVHWGoKNy/O1B5Jix6OU+w71EgYEqK7jB9N9XYRXLSXDBvt9PQVlmq+MKodN4kN3upIjyOrV6V5BQNeXlRuEK/dKMTV7fw6tB36PtWsRs7t2gtntu+STXuEfYaRsSiooX+godq5KERjaU3JWtCsX0/4c/IM2Swv9H6XrtAYxzXQUC1x1Oa9Oe4zKNugLj1GYZoqkDx/LovlxV5WI5s0dunp6eClx/cLNXi3bzs+HNvRlG9Un3bUzk5+qokUcSYNMl0qNWsMw/9aQUIdRh3hjx4XECwiLucELO1Qsd/0pYPACW7w8vnQ5uNBJNRhkl2kaZ8e2u12cn/joocO/Yb6HH0du04cA+/O/YaEOpz4kJd6dKEFxdnJT/VOCAbGCu5Kh/+xnIQ6zN/1JDWVvh9JwyuHv5c5Yzy8cjQMXbkYXunXM6tM2737FI36cq/uWv/n7M0LFrbH7x/bEhiV05cHx0KfWVOplif+JqUx3qR3D/L1kjSkuHlxRHUMa8cKahRbDx4Ag5f/REIdRv8iVVo0VTv/Ozt9hW67DQlIqIH+ZM0ytVCHbUdNUsNunWXzxTRHS4oZBNDa0umL4STUvZgP39Zbdk6UsYJWlTdGDYP3F35Hc4nU7jodXqN5UC7Li5YwXVr/vFKv8xvw6Z/LSajD9qErC47vSq+8LJvlRd+GUZeKzRo7VrDDOrFYZcLd3V1tDsKSYlOmTIHVq1eDK4AaAmcnP9WrltWjTg6vVIHMgLibwutm9XgPNsycR+cav9ONIsfkmoBxl0eLXt68EKATKo+DFSexsOjy8DglBX4ZNR7m9BxA0ZEVmzam/n6RtNW5Aqm2KjznhPDW/0ZBzXataSHe/vMymNCqIzm7ota0fpc3nJ78VH+7I/VqGN/63+e0sMSdPAPT3+wF/y1eQeea9OlhsHSOM8C6q5paUk2KFC8GA+bPogkXf3sLP/oMFn6UVdWmVvtXSXhydpSjuWOl14xJWUJ0RgZsnP0DTGr7Js0hGO2GGzK5rACm2t28f2+1EH1s4xaY8tpbcHLrDjrX9N13ZElfYc6GEZ/r9910KB4SBHduxFNNaay5i6CghxsvucaKKdPge99/C6Vq16CKCX9MmgZfd+hBwkbJqpUgonoVWSJizRkrr336ETTs2onu71v5J0x8tRNcP3OOhLkGXTvJZnnRNn9H5ThXpWUz6DQmS4iOOXoCpnV6Rz0f4tiXI52PORtGHPPo0uFQwW7YsGFQpEgRuHXrFpUTwxqxV65cgUePHsHo0Vkqe6VT/dWWUP6l+rLtlm7FXKNJoZCXF5nRdBdr5Pzu/TCjS2+4fvosHPrrbxKqcHJr1L2LbBOw9u46KodAisIotnNq+25wZN1GEo7Q5CBpNOTS2Gm3W3sCxoWubP0slf2PA4bA+hlz4WlaGvy7IKusXuOe3SCsYnn52m1k0cNi3siR9f/A7Lffg6QrMbBnxSoy14dVKEeTszOTnxrSkuqOFTTx4IKM42Pq693h9L//Qcyxk3SgMNqox5uyaWGMjRXUVuCijMzs2he2/riItOm7V6xSC9NyaUiNtRupkD2v/DV1JiwbPoa0MNvmL6LnqrVuDhWbNHJ6+gpzNoyoecGIWdy4fNPhbbh04DCZYNGRHjdeKGioKzfI2ufaYxw3stgu/C1+07EH7P5lFaW9wLkcQX9SEedDzbGy/LOxsGr8FHjyKBX+/XkZPYdaUnQNkavdN7PbjTn4dDMFSO1Gl4i5vQbSGNm1/HfS2oWUKwO132jn1MTh5grTuHZiqTSHCnYpKSnQokULaNeuHQwePBjmzJkDrVq1gsaNG1NeO6Vz5fBRmijQeViunTXmQJIyxeuqwiOrV6HbU9t20HUITrQ4QJGW7/eTbQI2psKX2n3l0FGawCT+/Xkp3VZv21I9ATt7t2Ss3aHR5cisgwvLpf2H1M8f2bCJopdRWEWhlF5DhokMFz0yU+pZ9KQ+P7H5X/XOGc1U+1f/pTVWnJn81JKxcmHvAcqEL7E9e6w07PamU8vOmdvuktUqZ52/EgMJFy6pn9/9y0pawMMrVoAKjRvKN8azNT8BUSW1Fj100g8qW4ruo7ZOAn2rcAOJwr8U5CTHYm1MQIrI7vOz/+2mDReCY337wmVqTSRtXlKcv3kxNlZQI4dcO3UG7mrkSN2x6Bca1yiElKgULdx8iOZj1LCjRvrk1v/Uz5/auoPWLPxd4u9T8zWcyb3sTAHo6qObKUDq8+ObtpGlEcFN7d7f/qD7r306WIi1U1eYlsa4QwS7unXrQps2bdSP9+zZQ3VjBw0aBCtWrIAffvhBXUNWyexc+hvdolpZ1olMT0QVTlDh2T/2q0eOa12/97c15D8ld7sNmZEjqmX9qK4ePaH1/LWTZ+DK4WO0I8HPhxoOQ8ELjkSKfMZFT7NQutRu1BbpVqyQhFIMr6fXkGEiM7TTQ22FNEHE6rR955JfSWMmjRU5TD3GzMiGxsrZ//bQ5Ce1W64J2NQYRzOPJih4H/xzPd2Xs8+xZiya/XDRw4hHiRJVKpEJCPtTc9OFbP1xodYYl2OxNr4JqKp3rBxe9w88uHVbcWP8zvUbahM4bijl0h5J/Y1CnGY+Vand10+f0/rtoTC9Y/EvdF/d5zIIpCoDmQLwc2DOTuxPDNTT5L/Fv5AJXPQx7hDBDv3qoqOzhAqkYsWKMH/+fNiyZQtMnjyZNHgjR5pvBxYVVOXHn7uofiyHFsaQE2hIhbL0o8GFQkpoKIEC0f5VWZoYOdstTaCagxMFJclEpbvoIZKAJKdAiosealV0d3qS9khfuw/9uYEWDwm5tRmafR6hoT2SHOEl7t1M1NLMiNRuj8KFIDhbe6QrkOKkvWPRcmHajQ7x6CNozljBxQOFaem3aigq1ZFg/6E5XrfP1e0+lrPduKHBjZeESBtGdD2RtEfokqIJWjN2Lfstx/+LoiWNrGF4rEiaaTk3L+mp+vOpGhsrh//6G1I0NgZizYdV6Db+wiXS6OlaPQ6sWSfkGNdcOx0i2FWtWpXqwkq89dZbcPDgQXjvvfdgxowZZJZ9880sFazSkdT4zk5+qm9C0PySI6sZ/lEhO5f+SpOcnNojqU6q5qKHqVjQ3IMlx/T9aDAsPeHi5az/l6ndtNPLbru008Owfcm8pruzRjBQQtqlOjv5qf5NQKQeTaP+sbJ94QsBSa4+v6mx6Ela0pKoPcqbl+r36gtaOrphM+Wuk7PdtOgl3NQaK6hdCa1Qju5fPaqtTUdwkUSTuJzt1nxvTW2GZKK6ekT/WJG0dpr/L9uGUavdWZqMG2fP0+9PF3TsxzlHznbr05Ki37RPaEiW9uiktvZIMoFfzHb7EHWsxBzV3nRJ8+GuZVkuQXJZXky228AYx6A4DObS/H8RNozqtfPRI8cIdlg6LCkpa0JF0Kdu48aN6seHDh2i6FhXACdgNJ2gg7wz8wfpld4jI9SLXkT1ygZ/VAj+kNZ9M5sCEi7s2Q9ygI606kUvOxGr1O7YE6cMRkmt/t/XpBnY+3uWv4MIiwc6OKPPCGry4s/rz+W0f+WfcPyfrbBp3k9OjwCTkFJ+BFkwkaFGd9Pc+XDs7805TBPO4u6NeLWWVFr0Xiwc+tuNWq+V46dQXrhDf20AuVBvvLL7HP3n0DcXNXFSuTRdNs76Hi7uOwjbNbSOcpsGMc0Jtt3YJuDivkOwc9lvJChJJQ9l2zAGBqgXPfV8aGCM41y0ZsLX1OcnNr1QSsilJZX6XNKmk/YoVb9fOgaxoPVo1y8rQZSxgoEFUuobXdcUiT2/rqJck5vmLQC5uKnH/C31uaExjpvFtd/MgjM7dlM+WFE2jNIYv3ZKWyNttwTFKNRFRETAjRs3IF++fFC9enUYO3as+rynpydkZGuLlA7upH77YoKsbZBMg2h6xUXvzrUbL/wyDAxOyVEbDznBnQdmTEczMk4A0s7a0GKNxB4/Cd/1flGFQg6kIALJ/B2RnZEcd9XoU6cP/I6WfvoFyInuopeR/pSCPoxNZIiUXFkuJC0pChZoNkmOu25SsJM0vIaSjzoL9B/CqOMgnbFirN2otfvhvY9ATnTzB2J0NGob0RxlTGj7a8q3ICcopKELAVZowA0jziuS75GxMY4aXjzkng8xshH7HIMMjJns1f9z6QqlbhFprEjCEQpOmkFNusLJ4qGjQE4SdTIFuOfPB0FlSpnsc6HWzlKR1FZp7Yw7ccoxGjssGYa+dA0bNqSasBgBu2tXVqoKpHLlypT2hLEPqP1JuprtD1MqEvxKhtOOibRHBjKBi4Kuj4N6t2TkRyUCuv6BSmm3tOghuOhJ4fGoPZL8ZERFM+M6Bs9IkYD6TN8ioWv+jlTIWJHM39Kip9Z6GdDAiIRmkJA52iNRUG8Y1Ro704KdSGNFGuNKafdDnUwBJatUpOAgjNrFcyKjDprUWYMssapYJNh98cUXkJmZSXnr+vXrR4emhq5Pnz6webO8OyNX44UzZZS6nh2Gx0tO2KKiqQpHX5Ki/lkOztdOnwMltJsWvfz5zdIIiLjomaMREHGMa6aWkcvkZ2kUNSZCxQWkRLaDs+gCKUa9qhe9iBIvtOkKGONq36nSkS+Cgy5fpZQVSlmsNVPLiC6QYoCeZj5VtTZdYfNhhILGuGYZOs2187oFyhyLTLF37twhvzosJ4bJiLFigCadO3em5xnHaJB8s4txi75w6LZbiv7SDY8XdtG7/4D86srUq01RdzixxZ04A6KDCxzmvsKSVTghKGHh0B0rhlLLiAgKnrToFfWCcg3rUTZ79MeV09ndksWjVK3qZJ5Sa6UN+KmJOlYy058qZqxoaklL1a5pMLWMaEj5VNEKUKJSBQgtX9aoj7dIJOIYr12Dxkp45QqKHOPS2nnjzHmL1k6rExTrCnXIvXv3HOZjFxMTQ/44mseIEVklhiQqVaoEO3fuhLS0NLh27Rp8+umnoHQ0o3vM8T0SbqdX1IvKuChlt6TZ51gqDEnQEx4v8oSAUVRSeLxurkOR+xsXvTL1ahmMKhUNjACU6mBKY8VYcJCIfV61VTP6jWLUZvyFFymelGAJUEfyKmCsSBtG1JLW7fSaYtqtOVbqdHyNgoPQ5UNy+1CC5iu0Qll1cJAx33SR105Lx4pVgp1coCk4MDBQfcyePVsrcAPNwHFxcVCjRg0S6saNG0fmYiUjTWToX2couaLoix6W/DGWSkHUPle3WwGCtGa70SQopZZRgvYIU5pIix4Wc1eKRkDvWFHoGDcWHCTaoodzIGrUpTJ+Stjo6utzpY5xJWhINTMFRNWqTlH36FuHwVlKXDstHSuKEuwePnxIkbnSoVm+rHv37lT1Av38zp49C7/99hvMmjULhg4dCkoGFz30H0HVvaHkiqIiCRVS22OPmx/VI4LmS2q3UhYOadF70d8nFaE90h0rpD0ykFpG9DGuGK20Qse45qKHbccUFYZSy4g+VhSjsdMZK0qwAmhmClDaGNc/r7iwYPfZZ59BcnIyHD16FD755BPIq5HFu169emSG1TQFb9q0CcqVKwfe3t56Xw8FQdT0aR4iolnHUwk+AvoqXxgLjxcN3TI4SlmsNRc9JWkEEE3NIpaYU4L2SHeMY/+jH6mSFj0JJS16mgnOldRuzZJmStEe6Z8PlTGvPNHIFKAky4vuGLdm7VSMYIfaN6x00aRJE6pJO2rUKJg6dar6PJpmNZMnI9JjPKcPLH+G/oLSER8vT9UASyYEpQgZSp6ANSt2oIP8ozv3QJF9rqSxkm02UVy7NfqbgoOeZjn0i86Th4/Uix4FB50UPzhInzCtFCEj529TOe2+cyMrnyryOCUFkhTg3qH0NcjWMS6rYIe58HQDInSPsmWzonCwZBmmWTl16hQJdsOGDYMPP/yQtG62vD9G+EpHSMiLotgi4QoCkpJ2S7joSSWrlNRuzQkBBQxLMpWLpBVQUp/joieVslJSuzW1pFgX+2laGihzXlGGWVBXS6qkeVwzn2rssVO0LittjKc/fkxBcEoc4zFWjHGL0p3Ym2nTpsGiRYuMXnP1qv7dwYEDB6j6RcmSJeHixYuQmJgIAQEBWtdIj/GcPp4+fUqH6GDeOknAEz25oiZYNxXzkRXwLAJXj7woIq4EUIOBVRwuZddrVAqS5gXNsErRHkljG33rVKrnZIpV0qJ37fRZiKpZTZFjpfxL9dU1SZUC1oVFLSPm4ku8LE8db2s3jElXYykQ7tIB5Y2VsOjyihsrcdlpqi4fPEr+x4pcOw9bt3lRKfHo1q2bKjMzU+Xt7U2PBwwYoLpz547K3d1dfc2ECRNU586dM/s1PT09VQjeyv35dI8y9WqrfMJCZW+HpUdQmVKqiGqVZW+HpYenT3FVpWaNZW+HNUf0yw1VRQP8ZG+HpUd4pQqq0ArlZG+HpUex4EBV+Zfqy94OSw93Dw9VtdbN6Vbutlh6RNaspgosFSl7Oyw9/EqGq0rXqSl7Oyw9CngWUVVt2Uzlljev7G2x9KjUrLHK09dH9nbYunZaKJ/I/wFMHXXr1lV99NFHqsqVK6siIiJIqEtKSlItWrRIfY2Xl5fq5s2bqsWLF6sqVKigevPNN1WPHj1S9evXzyUEOz64D3gM8BjgMcBjgMdA7hwDnhbIJ7KaYs0lPT2dAicwL52HhwclK0afu+nTp6uvweCHFi1awNy5c+HIkSMUPTt+/HiYP3++xe8nanQswzAMwzC5D08L5JI82RIegxn7g4OFjYxlGIZhGCZ3ExISAgkJCUavYcFOj3CHiZCVIL2jEIpfshLaq3S4v7nPcwM8zrm/XR1PBa+d2HZTQh2iCFOsMzGn00QCB6bSBqeS4f7mPs8N8Djn/nZ1Hipw7TS3vYpJUMwwDMMwDMMYhwU7hmEYhmEYF4EFO4WCkcIYJYy3DPe3K8JjnPvc1eExzn3uCDh4gmEYhmEYxkVgjR3DMAzDMIyLwIIdwzAMwzCMi8CCHcMwDMMwjIvAgh3DMAzDMIyLwIIdwzAMwzCMi8CCHcMwDMMwjIvAgh3DMAzDMIyLwIIdwzAMwzCMi8CCHcMwDMMwjIvAgh3DMAzDMIyLwIIdwzAMwzCMi8CCHcMwDMMwjIvgLncDRCM4OBgePnwodzMYhmEYhmHUeHp6QkJCApiCBTsdoS4+Pt5kpzEMwzAMwzibkJAQk8IdC3YaSJo67DjW2jEMwzCuSB43N4ioWgk8fXzg4Z07EHP8FKiePwdRiX65IXSbOA4AVNR2iaw254FfRo2DMzt2g6tr6+Lj482STViw0wN2HAt2DMMwjKtRqVljeP2zIeAdGKB+7n5iEvw5eQac2vYfiAYKcs0H94enzzOzhLrnz7TOq54/g1c+fA8ObNgktHDqTDh4gmEYhmFyiVDXc/okKOrvp/U8Psbn8bxoRFavQkKopqZOE3y+WFAgXcdkwYIdwzAMw7g4KAChpk7XnCmdw+fbj/jYoAAlF15+vna9Ljcg1jfIMAzDMIzdUaLmC9tUpHgxs65NuZ3s8PYoBfaxYxiGYRgXR2maL32+gPpAv7r7Sbfg6tETTmub6LBgxzAMwzAujrkaLRE0X5IvIJqHNVGpVJAnT54cUbF/TfmWAyeUaIodO3Ysfamax7lz59TnPTw8YM6cOZCcnEwRratWrQJ/f39Z28wwDMMwIoAaLYx+NRQ5is/fu5kou+bLqC+ghlCHoKZu8dCRQkbzyoliBDvk9OnTEBgYqD4aNmyoPjdjxgxo164ddO7cGRo3bkzJhtesWSNrexmGYRhGBFBww5QmqOHSFe5E0nyZ8gWUwM8yoVVHFuqUborNzMyEpKSkHM97eXlB3759oVu3brB9+3Z6rnfv3nD+/HmoU6cOHDhwQIbWMgzDMIw4oGYLNVw58tgl3SKhTgTNl7k+fo/u3pNdCBUVRQl2pUuXpszLT548gX379sHIkSPh+vXrUKNGDcifPz9s3bpVfe2FCxcgLi4O6tWrZ1Cww/9BE65mZmeGYRiGcSVQ+4WaMBSa0IduQutOVHlCeozmV1GEJCX5AoqKYgQ7FM569epFAltQUBD53O3atQsqVqxIZtn09HR48OCB1v+gdg/PGQIFw3HjsEwJwzAMw+SuShPHNm4BUX0BMWmyPnMsR8G6kI/dP//8QwERp06dgs2bN8Orr74K3t7e8Oabb1r9mpMmTSIzrnRgjViGYRiGcQWUWGlCKb6AIqMYwU4X1M5dvHgRSpUqBYmJiWRSLVq0qNY1AQEBdM4QT58+VdeF5fqwDMMwjKug1EoTmr6AD27d1nqeo2BdzBSrS+HChSEqKgqWLl0KR44cISGtWbNm6kjYMmXKQIkSJcgXj2EYhmFyE1J0qSE0K01cOXwMRBTuTm/fpeUbKJIvoMgoRrD7+uuvYd26dRQQgalMvvzyS3j27BmsWLECUlJSYMGCBTB9+nS4e/cuPZ49ezbs3buXI2IZhmGYXIfSKk3oA4U4EYVO0VGMYBcaGkpCnI+PD9y+fRt2794NdevWpYTEyJAhQ+D58+ewevVqMstu2rQJBg0aJHezGYZhGMbpcHRp7iVPjpoduRhMd4LaPgykQJ87hmEYhlEiaGr9fNMak9GlmOSXzZuuJZ+I5zXJMAzDMIxNcHRp7oUFO4ZhGIaxAtSERdWsBtVaN6db0SJMObo0d8KmWA3YFMswDMOYU8HBNzwU6nZqrzfxrwiluYxVnuDoUteWT1iws7LjGEb9I+JJk2FyZQUHlUoFefLkyZFAF3OwiSbcMblHPlFMVGxuxhLBgYUMccr18MTOMK5VwUE31lBTqKPHbm40N2PiX8zBxkEJjBywYOdCggMLGWJM9lK5Ht61M4xrV3BQYuJfxvURy9OTsbrOnxJrAirJCdmVyvUwDGN5BQdLf8siJ/5lXBvW2ClUcNBU9yPmXiuiaUCJmkall+thGMaxApq5CYIZ1yCPQL7WLNgJiiWCA6JUIUOp5kxXKNfDMIz9BTQp8S8u7EzuoJJgygk3R0ZwmHswtgkOShUylGzO5HI9DJM7QAENF2lztC9SVOxfU74V0jrC2B8R3aActmLev38f7t27Z9bB2CY4KFXIMOW7oquVFMnfz9Rkj8/fu5nIu3aGceUKDiptSwNq6kS1MjC5RznhMFNskyZN1PdLliwJkydPhkWLFsG+ffvouXr16kHPnj1h5MiRjmqCopEEB1N1/iR1vyXXioKImkZzVerSZI87Mryv2e+usmsXyWeEcR2UNK6ktrrnzw+bvpuvNyHxgdVrIfnaDeE/C5N7fK0dJtjt3LlTfX/MmDEwdOhQ+PXXX9XPrVu3Dk6dOgXvvfceLFmyxFHNUCyWCg5KFDLM1SAWKV5MHQQikr+fVK4nhyCYdIv6W8m7dtF8RhjXQEnjylBb/5nzo/CCnJKEZyXjJaBywmmVJ1JTU6FKlSpw+fJlredLly4Nx48fh8KFC4MIiFh5Qt/kgiY+fbtEQ9eKKmTg5PP5pjUGNY2aOHryN9UWSes5oVXHHBOkq0yi0ueIbvISNHr7LbQz6d0ksKmJsXXjJPq4UlJblSw8K52omtVg0MLvTF73Xe9BNmvshCspdv78efjrr79gxIgRWs9PmTIF2rdvD+XKlQMREFGws7Q+oUhChjltMTiBOrlUjzN/oI7E2u9f32KgD2MCLsM4YuOklLaKMPcqWSBVInmcOK6FKyk2ZMgQWL16NbRu3RoOHDhAz9WuXZs0dh07dnRGExQNDggUJvBH23JQP5OmQhEED0O7xv2r/tLSNBoyZzq7VI+5qvLSdWoKq5GzdKeuT0NnCpFT5+Q2RBAklO6LZK+2iqAlsyT3qajjRGmoBPW1dopgt3HjRihTpgwMHDhQrZ1DH7vvv/8ebty44YwmKB4l/WgN+qoF+EOrD97TK+itGDUegsuVgfbDP5Jl8jfX36/5gD5Q6/U2OQRUYfvcgH+gXg2djjCtpNQ5uQ0RBAlX8EWypQ3SdaLk4lSS8OxKnBLQ19ppCYpRgBs9erSz3s7lduJK+dEaFUB1BAddQS/1/gPZJn9TUcimBFQ5F1RLhX5DC5EliJY6JzchiiBhCQ/v3FXMuLIkfZRIG24lCc+uoIXWBH9v+B2L0naHCXaVKlWC06dPk68U3jcGRscyxnfiJzb/q4gfrSkB1JigV8jL06IJ1Z4/ImMqdVPtlntBtUTox36ypKC5UlLn5BZEEiQsndOMgW1NfZBCn8EZEfD2SjUl0oZbqflMlaqFNuQyJQIOE+ww2jUwMBBu375N93Wd4SXweXd3rmxmaifeqMdbVqUGcfYOyBbBktqd7eeld6xkT6iFinmTw6q9JwBDKnWz2i3jgmqJfyC21ZLPponkM3Jyy3a1kGivz6rUnbqzEUmQMAdztMO0Nri5QZFi3jBwwRzZF3NL/KZE0pJZmvvUFbTQPG/ox2ESVUREBAl10n3G9p3482fPSeAxpmnB13i5V7fsTOng9B2QrbtBSaBTPcd+yBkVm3DhEvScNiGHo7+9tGaSSr3FwL7QYkAf89st44JqiX9g/besD1bCBdgtrxs0fqcrHbaMJUsivZkXiCRI2DKnGUNuDbglflMiaclEdeR3lBZa6Ro+R+KUdCdKQc50J+am2yCNlsq81CBZ367+sPedy36FM9t32V0zYkluOmOgv11h76Lqx8+fPQO3vHmN/o8toeW6Oz98jNoDS1k2fAwc37TNqdonS/rclJlZ91ocK2d37oYKjRvaLa+dvgnZ2eltlIqS0vKY21Z9iJL+xJRGSMQ0LkrLZ2rNmM6NaV08RUt38s4770BycjL8/fff6vx1WHHi7Nmz0LVrV7h27RrkdszdYe9c+itUadHUdGoQyaSpt34d2EXrYmgSRH9ATJ9hiRChy5Kho+gzSKk49Jlm7aU1M7TzS713HwoV9bLoM6D2yRFmYnv1uSlztya4IK2dOpN2y7pCnbUmaEMmF1vS24hsjrF325RkbrPVLUMEk7IpvykRtWSiOfLbWwutRD9TZ+MUwW7UqFGU6gSpW7cufPDBB/Dxxx9D27ZtYcaMGZzLzgJVPWrZ1k2bAw27djLqkGyOIGRPs4c+4eg5TnQa1xjys9S3MF05cpwed5s0Vq9QYa8FxZhvh6T1NEdAzXL+fmBWnkF7YU6f68PQd6BPm2tPny5LTXPSa+NY371ild5J2hxzjCMFP2Ov7QhTkYiChCPNjyLnjRQ53YVIjvzGIN/K4sUsGk+i+JnmEXhD6RTBLiwsTF1O7PXXX4dVq1bB/PnzYc+ePbBjxw5nNEF4LNmJ4/1Hd+/Z5X3tscMxpoVBXzkUFNJSHubwozJkfpMWJlTRW+Pob+6CYs7OD03CmelPzWo3/jlrF2mqzzX9E81F30JkT58uSyKmDfmN6ubiM+VwLf2/IzSoxgQ3xFjb9LlCmLtQmCtIyL3wWJJCyFTeSNH9ppSmJRMBS6vdSFpoEfxMKwnu3+cUwe7Ro0fg4+MD169fhxYtWsD06dPp+SdPnkDBggWd0QThsXQnbk9nXFt2OOYIR5WbNyEfk63zFxt3mNdZmCz9YVpqhjJn51ekWDGY1+d9EuaMtRtr92rmtnPkLtKcPs9ysDQP2ijcuw8TX+0MzzMztc7Z0znclolWVyCKOX7KZB90+eoLKFC4kEMCbUwJlelpj7MUvnnMc4VALFkoTAkS1lYhMVcoMed6k3Na9ubIlBbfnhpvRwq7StGS6cPZmwBDvx9Tm30RAlYqKSCPpFMEuy1btsBPP/0Ex44dowoUkq9ddHQ0xMbG2v39Bg0aBJ9++imlWzlx4gR8+OGHcOjQIRAdS1T6JjV8ZvpR2brwWqoW15z4NAU9fZOJJT9Ma8xQ5n5eT18fOLZxi9F2V23ZzK7vaWufI+Zq7vB6T5/iEFG1Uo6FyZ4+XbZMtLoC0aO7d6FI8eJGry9YpHD2A/uVp8P/japRFTqPG2lUcCtQOPu9TSAtBlKgkyULhSFBwh5VSIwJgeaWC8T2GZvT8DfVpFcPUKnM8Au1g8ZbdC2LXDi7X4xuTHV+q1atfc8d42dqzm9fFP8+pwh277//Pnz11VdkksXasHfvZmUhr1GjBqxYscKu7/Xmm2+SRnDAgAFUlxZ9+TZt2gRly5ZVp18RGXNV+uZo+Mz1D7Nl4bVFLW5qh2uJKccafxZrd3762m3ua+nmGbQGs4VDC79/Q9+RvXy67GGakyjs7W3T/2tuOCRfQlPaCnNNR5a2w1igk+ZCgZhqpzna3E5jP4O0h49oDFds8pJZJmPUkKLgb6iusLFygdjWCa070f/rtv3ayTNm9amtGm8laFnkQI5+MdclA+cdfb61cviZVjLzty9K0I/LpTvZv38/aedQSyftANAEPHv2bIrGFTXdiSNC2xFLfBisCcl3dPoFU2HttqRtsWeqAktSjti6Gza3z/+Z82MOs7G135G9UigY/D7NCKxxBP8tWZEjylzf92Oo3c5C33epr52WpBjB/8/n4WFW5Lc56YY00f0+TZmBzc0biemENLXn5iBiShIRcFa/6Jp5vfz9oMeUL23+rp2V1qWSFb99a8apKSyRT5wm2DVs2BD69+8PkZGR0LlzZ0hISIAePXpATEwMBVHYg3z58sHjx4+hU6dO8Ndff6mfX7RoEXh7e1PghqsJdqb8I6Rzmjtte+X9kVTT70yfCIW8cHHI45DJwZE/YHvmQzJXaLE115IlEzJir+/IFj8czf/V56eI3+el/Yeg9hvtwJnozQup8/24ubvD2G1roXAxb1mET3PbaYmAJP2/uQuVrYK3qTHvyA2iJa9trvbWHOQOXhEhJ6K+uduUG4Ul7+voPs5jZV5WR+SRFC6PXYcOHWDp0qWwfPlyqF69Onh4eNDzRYsWpVQobdq0scv7+Pr6UnmypKQkrefxcbly5XJcnz9/fnVbpI5TIsZMmtI5PGKy64TaIyTfkiSztqrFHRlxZs9UBYZey1CONk2TmCWfxVJTxOVDR2HluEk2my6sdQ435MODWihNnyykTL3aFk+i1ggd+Fmk/zNmAgU3N+j0+Sdmp2RwFPT5jPgKYjtfH/6RxaXwLHp/GzDlf+RIvylzXRcavNWR0ivZw9dMCf58jo4uNWTmRTcKc0pHmvNdOzpgJdLCSH5H+fdZilM0dkePHqV8dSjcocRZpUoV0tRVrVoVNm7cCEFBQXZ5H3wd1ATWq1ePTLISaIJt3Lgx5dDTZOzYsTBu3Lgcr6M0jZ0l6O5wJN8ZSwQmczVTImc7d+TOD1/LVJ5BTey5eBjrczky0luqEbXG7IGl9rDUmbmo09OYEViiT1MmIkpppzFthqOqCVhinraHdl0pVREcqbEzx6pAGxU7WpAcQbXWzaHH1PFmXevotgunscPAhZ07d+Z4/sGDB2QitRdY3SIzMxMCArQlbHycmJiY4/pJkyapU69IHRcfHw/Oxpkqe80dDk5AozeusmhXaSqiiXK/PUiBpZ98brEmSu4+t9fOz9I8g9Y6KluqyXR2ri1zHPl1NTiGtJ5G34eCRFSUYsSjYCGTAhvuqNFpv4qZkcy2Ckv42Z48TlOnXnGU8KUEoc6YBshe2nN9m1dzg3ZsqYBi6ZhHRM4zaIv2ydzIfUyzpKkNlzOps60BhSK13SmCHQpVpUqVgri4uBx+d1evXrXb+2RkZMCRI0egWbNmah87/KHi4zlzctb9fPr0KR1yIpfK3tpoKPNyv3lnmboEFeqc0eeWTAiWLB62CqTOzLVlbYZ4TQHUkG+o7uvg58p8+pQEO0PmZs1E2WYLdWaYII0JbtJ7//b5/+ixvaNqLWmnMZwZvGLst2HN5sOU/yb+to/+vTkrtYoVZQ4tiXQ0d8y/0q+n3nbqSxnjKBwZXWqu+RZf/8Gt28L6IV41Q/gVUZHhFMEOq0zMnDkT+vTpQxNIcHAwmUunTZsG48ebp+Y0F9TALV68GA4fPgwHDx6kdCeFCxeGhQsXgmjIFYJvjSZFQoSs30roc0tTe5izeCjBb8feqXAk39BOY4abzFuHyaT1Ro9m76QRfd+9PswVALJ8hQwLbrq7ePxNmQpmsQRL2mlMcHOGYGiuBkh380FBWjWrmZ2IWfLfksDfIAp12xctg+qvtrBasDZnPJs75lu+38+slDGO/m0b05Ji0nX3/Pmp7y0VuMzd2KJQJ3JSZ5UZwu+qLyfD5YNHQCScIthNnjwZ3NzcYNu2bVCoUCEyy6anp8PXX39NiYvtye+//w5+fn4kMGKC4uPHj0OrVq3g1q1bIBK2CFe2YkutPbmzfiulz41NCMbIqlHrGnm47DVW8HO5e3iYlSIBtR1fteyQQ+ODoM+POb570oRtDmhyX/2/qVqCmzFtE943FcxidqSqFRVGzInWlpIlm3OtteUCHVm2zZA5Ff2lMJ9e8/69zY4ctnQ8W6qpN9ZuS37btrjz6GpJJa2nLUKmuZouPCd9P6JySsBawELlscN0JGiSLVKkCJw9e5bSn2CFCHsFT9iKM9OdOCPU3FaHUH25eJScE0qOPrc0qS0KCqvGT9GaLJTa5/Zst63fnSUO9BhQcmDNOnip+5tGU8Sgf9D4V9rnKMNmLoaCWfIXKGBWbjm8du3UmbQZMdXHf309y6yo2awFN2d9ZN08drpBN+aks7FbzsNsIfHxgwdm9ZPu+EDMHQv2zmdpqSnYnPe2pyZfjvRP9tRMWirg5rHgernT1wgTPIHpRDDqtHnz5moNHfq+9erVC/744w949uwZRcvmRuQ0adqiSXGkX4Yr9rm0GzbX/FbYu2iOXbotGlY5sedYsdXR29zv9MSmbVCiSkVohaYyE9on1NRZK9QZ8yeTqkEY8xXUTMqN7TPVx/Re2/4zGa2trz6yOdHzuuZTU+UC7aFdx7yCloLj59g/W812k7B0nBod81YEzki/bZw/NL8PqT/tqcm3t0XD3EAoe1kd7FUa708D1zvTP9lWHBpGhebQgQMHUj3YiIgIWLlyJfzwww8wZMgQGDZsGD03depUyI3IadKUFklDP058HnfYhhZJ6QeL/hGa4MIqoklQ7j7XNL9Jjw2RNaGqaAKVJldR/Rol3yfUAOOt5mIgnUMfnU3fzbd5rEgLJi6yuv1nzuJr7ndauUVTg+Zwa9tuDGmxQM245Hxt6ve19utZWo7a5v4eLYnWxvrImu1CAVa3nZZ+LkuQNjPGAmasAX9XKDgbHEs6fm/WfNeGvg9bwE0hahnR0oK3qBWs/MrLRgUx3XnEHn0ubSAt6Qt0jcCNQur9B3p9Ma1pqy6SgKv72y2aLTTiec156bVPB0PPGaavVyoO1dhhhYl33nkH1q1bB9HR0XDy5ElKIIx57HI7chUytpcmxdmpM5Te55oTvjmBAJoaOBH9Gk35PpmTkNjSsWKLr4s5373BhMUypPFxVCobEceSMzcpmhpxvWMpMYmCBmyNTM2hqUeTsQ0BKvj/muA4fmfaRKPaf0s1+dZuIE2ZKKXfFva9vdpqjaYR9CXxtjG9Ta4U7EJDQyn9CHLmzBkyx+ZW06toJk17OIQqSTUtQp9bGgggTaByC6S6mDL/SM73uudaDupHY86WMWPthsKc795YkmM50vhY+vsy53rRxpKzBUvNhRv91hy5OTVHoDH5GgYqNLwIOMhjN4HNGqHfXHOmI60O5rqq9Jw2Ice8pCTXFmFMsXnz5tXKE4fJgx89euTIt1QUcps0JTU5OhRjoATe4mQnqinVFfocSTHTRIMTqLQbPrH5X9pdWmOGtCemdsfSOmMP05C9zXzGvnv0W1NyGh9zsdWk7SxMuYsYQ9ecamzhttVkbM/xottu2oCgBtmAps/c35G5ApulLjrmmj8taYM1Ar0lfZzHgrlHyb91h2rscEAuWrSINHVIgQIF4Pvvv4fU1FSt6zp2zCpWnhuR26SpNK2bK/S5uVqTQsW8yZdGKzoRJ3uNa50dcm9yd2wsV5oAO2FD3z0+bvxOV+FNlLklfYMxDasp0JcLtasiLNzmjheMwi5bv7bW94Gmf3M+h6EcgpZqXy2xaFgaaOFITbG5fZzHQlO4kn/rDhXsMFGwJsuWLXPk2ymW3Chc5eY+N2cCRQ1Cz28m6M3RheWzdCMjnYU9FkO5d8L6vnulmChdZXNjDtaUl8Pf1c1LV2DggpyVhuRYuM0dVyu/nEyPNb+PPHnzwsCfZpv1PvZyLTFX6Lc0Ut+RbjDm9HEeK1LMKPm37lDBDitNMMpC7lw9uQVjE6iUm8zYbrhy8yawbtocp3839lgMRdwJi+B/6WyUsKE0N12QtBjvXrGKHosipFs6rjTreBtLS6O72bOnJt8cod8anzlHaYrN6WNzcZXfulMTFIuOMxMUi4jSSla5gkCqr934WK7k1aYwlYDVGKImUjYnabAoJsrcjCXJc+2ZaNfZ48pQ2zUxVgnEGZp8WxKGO2quNtTHa00k8dZE5N+6JfIJC3ZWdpyrIdpEmFsEUntXBnEG5maU10QJ40jpm4TcgKUCkkhCujnjSikbJ1Gr4Rjq40om1je5XFssgQU7J3ScKyHqj9TVBVIRy805qlTavZtJ8NcUZQrajFgoqQyUpVhS+k7ueUFpwlIlwQR9xZYUY5SBUktW2bsEjigowZFf8sMxVaJK4tfR46n6BsM40zdQCX6ESg1OMuQzh5p7zAmJUeZ4yGk9yaMj2E9o3cloaTxXgQU7RtiSVa4qkBpDM29do7ffEtqR39ISVQzDKC84yZjWUzPQIrrJSzRn6bpj2KsWrD1ddI7J4MLiTFiwYxRTZshVBFJLJiK589a56thhGEVq6w1UonCUJt+QcLR/1V9aZdfw6DZpLFV2EMF6UslEdRwluuhYAgt2jFmmP0yWiedelLKRH1cSKgxNRHLnrXMFszHDKAWzUnfksV/eOquEowB/aPXBezkEPVGsJ3msdNFRmj+mbCXFGBcoM5S9A8MM6Jj0E4MsmvfvTZGb6Ohra3koWzCnBM6je/fVAqmomCzTBSrKWyfiRKOUElUM4yplDxcPcXxJRKNzkh5TK9aBFsV6EpntomNoztcUMjWFWFzbMHAFMxLgLT7WLIumJDjdiQa5NSrWmNo9R74kncdypxUxN/WGPvOBKMKGEqJgXT3ijGFEw5gGydHaJUujc82t7uCMOayahemilJJZgaNiGftkeS/qlWN3JopjrKVlh/SZD0TJc+cKvoJKKFHFMErCWESvo6N9LZ1rJIEI3UaMVQZxhktGigUuOq6aWUFc+xQjCzh4UdtV2LuoWUWTJVMhDn65zJ0oVHzVsgPM6/M+FQDXlyjXkEAqgqrdVXwFpcUGd8FSfUiGYZSH1XNNtv+fnC4ZV81w0UFrglTlx1KzrRJgwY6xy25N7sGvRIHUmomIYRhG7jnJEJvmzne4/589/X69XMBaog+OinUCuv4QMcdPCZ0k0drdmtyD3xaBVE7ftdxYgJ5hGHExNicZuh4FuK3zF9Mht0vGKQMuOrrpolzFWqILC3Zy5CZ79gzc8uYV0t/LnBQWog5+pQqklkxEDMMwcs5JOQLq9Gw+RQjyOmWG369SU32ZgqNiHRgVa27EpmjRN8barg9RaslaW0BbpGhTV8qlxDCM8tGck3zDQ6Fup/YuFf1eyYLMCnIqYCyRT1iws7Lj7C1kiCIcWZz+RDChVIkCKcMwjFJwxc1nJQWsdSzYOaHj7J0HSETtkVJ3a0r4kTIMwzAg1FoXZSTVl9zKAM5jJwDW+m2J4O9lLF+SCI6xlvpW6BNI2XeNYRiG0ZdZQfSAO1Nw8IRgjvxyByCYwtGJMXOzQMowDMPIh5eLpD9hwU6QyFIulu5YlCKQMgzDMPKQ4iLpTzhBsRxJElWqHNdyrjKGYRiGkY+rLpIsnjV2BpwU7UHswaOw6vP/Qdsh71OtUq08dm4aeexuJcOGb7+j6+313gzDMAzDWMaWWT9At4njcqY/QWHPzR22zv4RihQuDM7GEtmA051oEBwcDPHx8Y74ThiGYRiGYWwiJCQEEhISjF7Dgp0e4c4eyYmdIb2jEIpfshLaq3S4v7nPcwM8zrm/XR1PBa+d2HZTQh3CplgdzOk0kcCBqbTBqWS4v7nPcwM8zrm/XZ2HClw7zW0vB08wDMMwDMO4CCzYMQzDMAzDuAgs2CmU9PR0GDduHN0y3N+uCI9x7nNXh8c497kj4OAJhmEYhmEYF4E1dgzDMAzDMC4CC3YMwzAMwzAuAgt2DMMwDMMwLgILdgzDMAzDMC4CC3Yy8tJLL8HatWspC7ZKpYL27dtrnff394eFCxfS+dTUVNi4cSOUKlVK65rt27fT/2oe8+bN07omLCwM1q9fT6+RlJQEU6dOhbx5X9SqzS04o78rV64Mv/zyC1y7dg0eP34MZ8+ehcGDB0NuxVljXKJ48eJw/fp1uqZo0aKQ23Bmf/fs2RNOnDgBaWlpNK/MmTMHciPO6vOaNWvC1q1b4d69e3D37l34559/aL7Jjdijz5G6devCtm3b4NGjR/DgwQP477//oECBAiBRrFgxWLZsGZ3Dfv/pp5+gsAx1Yi2FBTsZwQGCE+P777+v9/yff/4JkZGRNGirVasGcXFx9MMuVKiQ1nU//vgjBAYGqo/hw4erz7m5ucGGDRsgf/78UL9+fZqMe/XqBePHj4fchjP6u0aNGnDr1i3o0aMHREdHw4QJE2DSpEkG39PVcUafa7JgwQI4efIk5Fac1d9DhgyhsT158mQa56+88gps2rQJciPO6HN8DxTkcMNYp04daNiwIVUhwD53d899BaTs0ed169alPt28eTPUrl0batWqRZuT58+fq69Zvnw5je/mzZtD27ZtoVGjRvQ9KQEVH/L3AdK+fXv149KlS9NzFSpUUD+XJ08eVVJSkqpv377q57Zv366aMWOGwddt1aqVKjMzU+Xv769+rn///qr79++r8uXLJ/vndrX+1nfMmTNHtW3bNtk/s6v3+YABA+jaJk2a0OsWLVpU9s/siv3t7e2tSk1NVTVt2lT2z5hb+rxGjRr0OqGhoernKlasSM9FRUXJ/rmV2Of79u1TjR8/3uDrlitXjl4H+156rmXLlqpnz56pgoKCZP/cxg7W2AmKh4cH3T558kT9HKqcMaEl7tY06d69O9y+fRtOnToFEydOhIIFC6rP1atXj55HLZIE7vLQTIU7Eca+/a0P7Gs0nTCOGeNI+fLlYcyYMfDOO+9o7bgZ+/c3ai/QEoBF1NHVAE3fv/32G4SGhnJ3O2iMX7hwAZKTk6Fv376QL18+Mhfifez/2NhY7ncL+9zPz480drgu7tmzBxITE2HHjh3QoEEDrbUTza9HjhxRP4daP5xfUGsqOrJLl3zk3HW4u7urYmNjVb/99hvtkFG7Nnz4cLrun3/+UV/Xr18/VYsWLWj31q1bN9X169dVq1evVp//4YcftK7Ho2DBgvQ6qM3LrX3vqP7WPerVq6d6+vSpqnnz5rJ/Zlft8/z586uOHz+u6t69Oz1u3Lgxa+wc2N8jRoxQpaenq86dO0fX1alTR7VlyxZ6nJutAI7sczyio6NVly5dIgsMHtjf4eHhsn9mJfZ5nTp16HFycrKqV69eqqpVq6qmT5+uevLkiapUqVJ0zciRI1Xnz5/P8X6o+UPrgNyf28QhewP40DM48ahevbrq2LFjdC4jI0O1ceNG1YYNG1R///23wT6TzFCRkZH0mAU75/a37kR869Yt1ejRo3mMO7DPp02bplqxYoX6PAt2jh3juOAhmpsVX19fEjZQOMnNc7qj+rxAgQKq/fv3qxYtWqSqWbMmCSYrV65UnTp1is7J/bmV1uf16tWjcxMmTND6vxMnTqgmTpyoeMGOTbECc/ToUXL8RFNeUFAQtG7dGnx8fODq1asG/+fAgQN0K0UAoYo5ICBA6xrpMZ5j7NvfmqZBjLZCR1t0MmccN8abNm0KnTt3hoyMDDqw3xE0XWE9Zca+/X3z5k26RTOgBPY1HuHh4dzdDhjj3bp1g5IlS0Lv3r3h8OHDdB6fi4iIyBERyoDJPtc3hpFz586pxzCujxhdqwlmk8DIe9HXThbsFEBKSgpNmvgjx5D3v/76y+C1VatW1Rq4+/btg0qVKpFPgaaPDIZv6w5qxvb+RipUqEDpCxYvXgyff/45d6uDx3jHjh2hSpUq9Dwe7777rjolwty5c7n/7dzf6JOElC1bVisthK+vL0UfMvYf4xjNib5d6CsmIT1Gf0fGsj6PjY2lVCiaYxgpU6aMegzj2onjunr16urzuInE/pYEb5GRXW2YW4/ChQurqlSpQgfy8ccf0/2wsDA636lTJzIrRUREqF577TVVTEyMatWqVer/RzX9559/TmrnEiVKqNq1a6e6fPmyaseOHS9Usm5uqpMnT5JvQeXKlclUgqpkXRV0bjic0d9ofsX+XbJkiSogIEB9oKlK7s/vqn2ue+RmU6yz+vuPP/4gMyCatHDMr127VnX69Gnyb5K7D1yxz8uWLatKS0tTzZ07l6I1MeIT55h79+6pAgMDZe8DpfU5AKg++ugjyg7RsWNHiizGCNnHjx9rudWg6fbIkSOqWrVqqerXr6+6cOGCavny5bJ/fjMO2RuQaw9pAdJl4cKFdP7DDz9UXbt2jRyV0RkUB56mczKGvuOPHx1A8Ud/8eJF1ZQpU1Senp5a74MOtuhfgCkK0Ofr66+/VuXNm1f2z++K/T127Fi974ETi9yf31X73NB75kbBzln9jY9/+ukn1d27d+ladPTXTMWRmw5n9fkrr7yi2rVrFwlzd+7cUW3dupV87eT+/Ersc9AIBMLrHj16pNqzZ4+qQYMGWueLFStGglxKSgoJgQsWLCChUu7Pb+rIk32HYRiGYRiGUThsnGcYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGcRFYsGMYhmEYhnERWLBjGIZhGIZxEViwYxiGYRiGAdfg/+V5Fg84onIbAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 4 }, { "metadata": {}, "cell_type": "markdown", "source": [ "\n", "## Evaluation Metrics\n", "\n", "In regression problems on time series, the same metrics as in conventional regression are used, but it is important to consider that temporal scales and units of measurement influence their interpretation.\n", "\n", "- Mean Absolute Error (MAE): average error in the original units, robust to outliers and easy to interpret. $$\\text{MAE} = \\frac{1}{n} \\sum_{i=1}^{n} |y_i - \\hat{y}_i|.$$\n", "\n", "- Root Mean Squared Error (RMSE): penalises large errors more than MAE. Same unit as the target variable. $$\\text{RMSE} = \\sqrt{\\frac{1}{n} \\sum_{i=1}^{n} (y_i - \\hat{y}_i)^2}.$$\n", "\n", "- Mean Absolute Percentage Error (MAPE): percentage error, independent of scale. Useful for comparing models on series with very different magnitudes. Problematic when $y_i \\approx 0$. $$\\text{MAPE} = \\frac{100}{n} \\sum_{i=1}^{n} \\left| \\frac{y_i - \\hat{y}_i}{y_i} \\right|.$$\n", "\n", "The choice of metric depends on the context of the problem. MAE is the most intuitive option when a direct interpretation of the error in the original units is desired. RMSE is more appropriate when large errors are especially undesirable, as it penalizes them quadratically. Finally, MAPE is useful when comparing model performance across datasets or scales, as it expresses the error as a percentage and is independent of the magnitude of the target variable.\n", "\n", "For classification problems, we will use the metrics from the two previous modules.\n", "\n", "\n", "## Classical Models with `statsmodels`\n", "\n", "Before neural networks, statistical models were the reference for working with time series. The `statsmodels` library has a module called *Time Series Analysis* that implements the most common ones and is a good starting point for understanding data structure. Although we will not use this library extensively in this course, its ease of use, comparable to `scikit-learn`, may be of interest.\n", "\n", "Link to [statsmodels](https://www.statsmodels.org/stable/user-guide.html#time-series-analysis).\n", "\n", "Below we will find some usage examples that help us understand how it works:\n" ], "id": "aee7638f39836422" }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Rolling mean\n", "\n", "The moving average smooths the series by calculating the average of the last $k$ values. It is useful for visualizing the trend and removing noise.\n", "\n", "$$\\hat{y}_t = \\frac{1}{k} \\sum_{i=0}^{k-1} y_{t-i}$$" ], "id": "3c611692dd43b403" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:20:08.338976900Z", "start_time": "2026-04-23T08:20:08.200231500Z" } }, "cell_type": "code", "source": [ "# Rolling mean amb finestra de 12 mesos\n", "data['rolling_mean'] = data['passengers'].rolling(window=12).mean()\n", "\n", "data.plot(figsize=(12, 4), title='Passatgers amb rolling mean (12 mesos)')\n", "plt.ylabel('Passatgers (milers)')\n", "plt.tight_layout()\n", "plt.show()" ], "id": "603e29bdbd228c3e", "outputs": [ { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 2 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### ARIMA Model\n", "\n", "We will now see how to apply ARIMA (*AutoRegressive Integrated Moving Average*), a classical statistical model that combines three components:\n", "\n", "- **AR (AutoRegressive):** the prediction depends on past values of the series.\n", "- **I (Integrated):** differencing of the series to achieve stationarity.\n", "- **MA (Moving Average):** the prediction depends on past errors of the model.\n", "\n", "It is specified with three parameters $(p, d, q)$: autoregressive order, degree of differencing, and moving average order.\n", "\n", "- $p$ is the autoregressive order (AR): indicates how many past values of the series are used to make the prediction. A value of $p=2$ means that the prediction at $t$ depends on the values at $t-1$ and $t-2$. Typical values: between 0 and 5. A value of $p=0$ removes the autoregressive component.\n", "\n", "- $d$ is the degree of differencing (I): indicates how many times the series must be differenced to achieve stationarity. Differencing means computing $y_t - y_{t-1}$, i.e., working with the changes rather than the absolute values. A value of $d=0$ means the series is already stationary, $d=1$ is the most common case, and it is rarely necessary to go beyond $d=2$.\n", "\n", "- $q$ is the moving average order (MA): indicates how many past prediction errors are incorporated into the model. A value of $q=2$ means that the prediction at $t$ takes into account the errors made at $t-1$ and $t-2$. Typical values: between 0 and 5. A value of $q=0$ removes the moving average component." ], "id": "a495134b494ed762" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:23:33.931156900Z", "start_time": "2026-04-23T08:23:33.456402600Z" } }, "cell_type": "code", "source": [ "from statsmodels.tsa.arima.model import ARIMA\n", "from sklearn.metrics import mean_absolute_error\n", "import numpy as np\n", "\n", "# Divisió train/test (80/20)\n", "train = data['passengers'][:int(len(data) * 0.8)]\n", "test = data['passengers'][int(len(data) * 0.8):]\n", "\n", "# Entrenament del model ARIMA(2,1,2)\n", "model = ARIMA(train, order=(2, 1, 2))\n", "result = model.fit()\n", "\n", "# Predicció\n", "predictions = result.forecast(steps=len(test))\n", "\n", "# Avaluació\n", "mae = mean_absolute_error(test, predictions)\n", "rmse = np.sqrt(np.mean((test.values - predictions.values) ** 2))\n", "mape = np.mean(np.abs((test.values - predictions.values) / test.values)) * 100\n", "\n", "print(f\"MAE: {mae:.2f}\")\n", "print(f\"RMSE: {rmse:.2f}\")\n", "print(f\"MAPE: {mape:.2f}%\")\n", "\n", "# Visualització\n", "plt.figure(figsize=(12, 4))\n", "plt.plot(train.index, train, label='Train')\n", "plt.plot(test.index, test, label='Test')\n", "plt.plot(test.index, predictions, label='Predicció ARIMA', linestyle='--')\n", "plt.legend()\n", "plt.title('Predicció ARIMA')\n", "plt.tight_layout()\n", "plt.show()" ], "id": "d0d4b8defd0ca1f3", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAE: 63.55\n", "RMSE: 82.51\n", "MAPE: 14.22%\n" ] }, { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data", "jetTransient": { "display_id": null } } ], "execution_count": 5 }, { "metadata": {}, "cell_type": "markdown", "source": [ "## Classical ML Applied to Time Series\n", "\n", "The models from the first two blocks of the course (Random Forest, SVM, MLP) are not designed for time series, but can be adapted using a technique called **sliding window**: the series is transformed into a conventional regression problem by generating, for each time step $t$, a feature vector with the previous $k$ values as follows: $[y_{t-k}, y_{t-k+1}, \\ldots, y_{t-1}] \\rightarrow \\hat{y}_t$." ], "id": "4d30e66713dfcdaf" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:23:44.233894900Z", "start_time": "2026-04-23T08:23:44.215009500Z" } }, "cell_type": "code", "source": [ "import numpy as np\n", "\n", "def create_sliding_window(series, window_size):\n", " X, y = [], []\n", " for i in range(window_size, len(series)):\n", " X.append(series[i-window_size:i])\n", " y.append(series[i])\n", " return np.array(X), np.array(y)\n", "\n", "values = data['passengers'].values\n", "X, y = create_sliding_window(values, window_size=12)" ], "id": "4b2f599e5b0004b2", "outputs": [], "execution_count": 6 }, { "metadata": {}, "cell_type": "markdown", "source": [ "### Exercise\n", "\n", "In previous sections we have used classical statistical models such as ARIMA to predict the number of airline passengers. In this exercise we will use a `MLPRegressor` as an alternative approach.\n", "\n", "Using the Air Passengers dataset and the sliding window prepared in the previous section, train a Random Forest model and evaluate it using MAE. Compare the results with those obtained by ARIMA. Which model performs better?" ], "id": "a8588b110d7beb4c" }, { "metadata": { "ExecuteTime": { "end_time": "2026-04-23T08:54:40.516782300Z", "start_time": "2026-04-23T08:54:40.502709600Z" } }, "cell_type": "code", "source": "# Creation of test and train, information is located in data['passengers']\n", "id": "918a10c931931f69", "outputs": [], "execution_count": 12 }, { "metadata": {}, "cell_type": "code", "source": [ "from sklearn.neural_network import MLPRegressor\n", "from sklearn.metrics import mean_absolute_error\n", "import numpy as np\n", "\n", "# Entrenament\n", "rf = MLPRegressor(hidden_layer_sizes=¿?, random_state=33)\n", "\n", "\n", "# Predicció\n", "\n", "# Avaluació\n" ], "id": "da40494f43524978", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "code", "source": [ "# Visualització\n", "plt.figure(figsize=(12, 4))\n", "plt.plot(train.index, train, label='Train')\n", "plt.plot(test.index, test, label='Test')\n", "plt.plot(test.index, ¿PREDICTIONS? , label='Predicció ARIMA', linestyle='--')\n", "plt.legend()\n", "plt.title('Predicció ARIMA')\n", "plt.tight_layout()\n", "plt.show()" ], "id": "6265b8bbc32c13f8", "outputs": [], "execution_count": null }, { "metadata": {}, "cell_type": "markdown", "source": "Although the sliding window approach allows classical ML models to be applied to time series, it has an important limitation: the train/test split cannot be done randomly as in previous blocks, since mixing future data with past data during training would introduce information that the model could not have available in a real case. For this reason, the split must always be done sequentially, respecting the temporal order of the data.", "id": "84370664c932f7a4" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 5 }