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@kenji4569
Last active September 20, 2021 08:00
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "672ebc5a",
"metadata": {},
"outputs": [],
"source": [
"!jupyter nbextension enable --py widgetsnbextension\n",
"!pip install numpy pandas matplotlib\n",
"!pip install u8darts 'u8darts[torch]'!\n",
"from IPython.display import clear_output\n",
"clear_output()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "db33ffec",
"metadata": {},
"outputs": [],
"source": [
"from datetime import timedelta\n",
"from collections import defaultdict\n",
"import numpy as np\n",
"from pandas import Timedelta\n",
"from matplotlib import pyplot as plt\n",
"import darts\n",
"from darts import TimeSeries\n",
"from darts.metrics import rmse\n",
"from darts.models import ExponentialSmoothing, NaiveSeasonal, RegressionModel, LightGBMModel\n",
"from darts.utils.timeseries_generation import sine_timeseries, constant_timeseries, datetime_attribute_timeseries"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "3bfb5110",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.11.0\n"
]
}
],
"source": [
"print(darts.__version__)"
]
},
{
"cell_type": "markdown",
"id": "21f4af41",
"metadata": {},
"source": [
"# Generate target time series"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b9d2c168",
"metadata": {},
"outputs": [],
"source": [
"time_length = 365\n",
"sample_size = 10000\n",
"distribution = sum([\n",
" sine_timeseries(length=time_length, value_frequency=(4/365), value_y_offset = 1, freq='D'),\n",
" sine_timeseries(length=time_length, value_frequency=(1/30), value_y_offset = 1, freq='D'),\n",
" sine_timeseries(length=time_length, value_frequency=(1/7), value_y_offset = 1, freq='D'),\n",
" constant_timeseries(length=time_length, value = 1, freq='D')])\n",
"p_values = (distribution / distribution.sum()[0]).values()[:,0]\n",
"times = distribution.time_index.values\n",
"ride_start_dates = np.random.choice(times, size=sample_size, replace=True, p=p_values)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "9627c709",
"metadata": {},
"outputs": [],
"source": [
"time_counts = dict(zip(times, np.zeros(times.shape)))\n",
"uniuqe, counts = np.unique(ride_start_dates, return_counts=True)\n",
"for time, value in zip(uniuqe, counts):\n",
" time_counts[time] = value\n",
"target_series_df = pd.DataFrame(data=time_counts.items(), columns=['time', 'count'])\n",
"target_series = TimeSeries.from_dataframe(target_series_df, freq='D', time_col='time', value_cols='count')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "051c8831",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"target_series.plot()\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "3ca628a7",
"metadata": {},
"source": [
"# Simple prediction"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "60f99ed5",
"metadata": {},
"outputs": [],
"source": [
"max_forecast_horizon = 10\n",
"split_ts = pd.Timestamp('2000-11-01')"
]
},
{
"cell_type": "markdown",
"id": "6e1f2900",
"metadata": {},
"source": [
"### Exponential Smoothing"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "698301ba",
"metadata": {},
"outputs": [],
"source": [
"train, val = target_series.split_after(split_ts)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2f4be3ef",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/miniconda/lib/python3.9/site-packages/statsmodels/tsa/holtwinters/model.py:427: FutureWarning: After 0.13 initialization must be handled at model creation\n",
" warnings.warn(\n"
]
}
],
"source": [
"model = ExponentialSmoothing()\n",
"model.fit(train) \n",
"prediction = model.predict(len(val))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "e7b176ee",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"zoomed_target_series = target_series[-len(val) - 14:]\n",
"zoomed_target_series.plot(label='target')\n",
"prediction.plot(label='forecast')\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "98eb233d",
"metadata": {},
"source": [
"### Backtest"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "064c96cd",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "36add16f2f3e42388ee366ea66e6207b",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/miniconda/lib/python3.9/site-packages/statsmodels/tsa/holtwinters/model.py:427: FutureWarning: After 0.13 initialization must be handled at model creation\n",
" warnings.warn(\n"
]
}
],
"source": [
"forecast_horizon = 1\n",
"model = ExponentialSmoothing()\n",
"exp_backtest_fh1 = model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=forecast_horizon)), \n",
" forecast_horizon=forecast_horizon, \n",
" verbose=True)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "ba6be15c",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "dc1824cc61bc458daf7700abb9f98ee3",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"forecast_horizon = max_forecast_horizon\n",
"model = ExponentialSmoothing()\n",
"exp_backtest_fh_max= model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=forecast_horizon)), \n",
" forecast_horizon=forecast_horizon, \n",
" verbose=True)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "ac0ccff7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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OKhr27NnDgQMHwr5vs9l45ZVXcDqdAa/rZYAbVAJEG2Cu1yo5WAWeIZrQwOPwYDvcBQokT++dQDKskuOTPXv2MGvWLNavXz+som0wNBjCPQDOPfdcVFUd8ASoLpeLE088kYsuugiPJ3Rfj3vvvZczzzyz12Oy7m+fcULvG3FassKkbOh2wJG6Ae1av9gO2xBuQeKURMyJvR+3E6ckYrIq2OvsRmXJccT8+fMpKyvj17/+9UjvikEMMIR7AJSVldHd3T3g4bbV1dU0NzfT0tLiK68KtQ3AV34E0G0XvL1d/vv05aHXrUfd+44MaNf6JdTAG38Uk0LiFBmJ2yqGeVCCgcE4wRDuKPF4PHR2SvHSJ2GNFv+az6amppDL6K9rmuZ77d2d0GWHktkwMTuk9cXcQvn3/qES7gPhE5M6SdNkfW/XYUO4DQyGAkO4o8Rm6+l8t3nz5gHZJdEI94EDB3xRuc8mCRNtA8zzVZYMjcfdorUAkLYoNewySVOlcNsqjC6BBgZDgSHcUaJH2zoDsUv8hbuxsTHkMv6vb9u2DcCvDDB0tA1+VklF2EUGjPAImj5oBiB7TfheGoneOSdtRsRtYDAkGMIdJR0dgdUSA7FLoom4AbZu3UrVMcHuckhOhDWLwq9bF+6hqOVu39uBq9VFQkECiYWJYZczIu7BEa6ta1NTExs2bGD27Nls2LCB5ubmfte1du3aALstltTX17NixQqWLFkSkIsZKVpaWvjDH/4Q8r3Dhw9H1SY3FH/605/4xz/+Mah1xApDuKNEF+7p06eTkJAwILukP+EWQvQS7g+81YcnF4M1LnzEPTUP4q1wtAHabbG1S5rel/uUtSqzz+WSjIh7UIRr63r33Xezfv16Dh48yPr167n77rtHYO96eOONN1i0aBHbtm2LeESh2+0esv3pS7gHi8vl4qtf/Spf+MIXhmT90WIId5ToVkleXh5nnXUWEL1d0p9VYrPZcDgcvv9rmkblMfnvWQV9r9tsVpjtreWPdYJSt0myVvcj3N6Iu+tIF2KI6snHMuHauv73v//lqquuAuCqq67iueee67VMV1cXn/vc5ygqKuLCCy8M6KERqp3qm2++yQUXXOBb5rXXXuPCCy/E7XZz9dVX+1qj3nfffQHb2b59O7feeiv//e9/KSkpoauri3/9618sWrSIhQsX8t3vfte37Jw5c/j2t7/N4sWL+eCDD3jsscd8IxS/8pWv+MR848aNLF26lMWLF7N+/XoAPv74Y1atWsWSJUtYvXo1+/fvB2D37t2+dRQXF3Pw4EFuu+02SktLKSkp4ZZbbul1btxud8hWrNu3b2flypUUFxdz4YUX+p5k1q5dyze/+U1UVeW3v/0td955J7/61a84evSorwVsSUkJZrOZiooKDh8+zKmnnkpxcTHr16/nyBH5A7z66qu56aaberWfHRTh2gbG+M+Y4ZVXXhGAOO2008S//vUvAYg1a9ZE/Hmn0ynMZrNAjiYV3/jGN3otU1FRIQCRm5srrFarAMQNv+4SnOQWdz/Wf8vWz/xQtg997JXYtXf1eDzitXlvipeyNor2Ax39Lv/aXLlsV3WXEGJ0tnV9KWvjkPwRYmBtXdPT033/9ng8Af/X+fWvfy2uueYaIYQQO3bsEGazWWzZskUIEbqdqsfjEXPnzhXHjh0TQsgWrc8//7zQNE2cdtppvvXqbVb9+etf/yq+/vWvCyGEqK6uFoWFheLYsWPC6XSKdevWiWeffVYIIQQgnnzySSGEEHv27BHnnHOOcDgcQgghrr/+evH3v/9dHDt2TBQUFPharur72traKpxOpxBCiNdee01cdNFFQgjZcvaxxx4TQghht9uFzWbrsxVuX61YFy1aJN5++20hhBA/+tGPfL/JU045RVx//fW+ddxxxx3innvuCVjv73//e3HJJZcIIYQ455xzxN/+9jchhBB/+ctfxPnnny+ECN9+Vsdo6zoM6BF3cnIy55xzTtR2SXV1dcDjYiirRH9t4sSJLFokDe3dh1oBKMjtfxs9Pnfsot3OUhuOYw6suVaSZ/XfctPncx82fO6hQFGUkN0BN23axBVXXAFAcXExxcXFvvdCtVNVFIUrr7ySxx57jJaWFj744APOOussZsyYQVlZGTfeeCMbN24M2VzKny1btrB27Vpyc3OxWCxcfvnlbNq0CZDd8z7zmc8A0l7ZunUry5cvp6SkhDfeeIOysjI+/PBDTj75ZF/LVf2Jo7W1lUsuuYSFCxdy8803+0Ysr1q1ip/97Gf84he/oKKiwtditi9CtWJtbW2lpaWFU045BZBPMvp+A3z2s58Nu77Nmzfz5z//mUceeQSADz74gM9//vOAbLX73nvv+ZYN1X52MBhtXaNE97hTUlJISUnhrLPO4tlnn+Xpp5/mG9/4Rr+fD+7b25dwZ2dnM2fOHLZu3crhGmmd5Ecg3LIkUMR0EE6zbpOsygwpGMEkTUuiRWvFdriLrNE5rR9nN/bfQW84ycvLo6amhkmTJlFTU8OECRMi/my4dqoA11xzDeeeey4JCQlccsklWCwWMjMz2bFjB6+88gp/+tOf+Pe//+0TqGiJj4/3NbUSQnDVVVfx85//PGCZF154IeRnf/SjH7Fu3TqeffZZDh8+zNq1awH4/Oc/z4oVK3jppZc4++yzefDBB5kxY0a/+6ETaSvWcG1ga2pquPbaa3n++ecjmu8z2vaz/WFE3FHiL9wAl156KRB5dYku3FOnTgVCe9z6a1lZWSxbtgyAYy1WAPJz+t/GUAzCafIT7kgwKktiz3nnnefr0Pf3v/+d888/v9cyJ598Mv/85z8B2LVrl2+6sXDtVAEmT57M5MmTueuuu3y9qBsaGvB4PHzmM5/hrrvu4pNPPulz30444QTeeecdGhoacLvd/Otf//JFsf6sX7+ep59+mmPHZNKmqamJiooKVq5cyaZNmygvL/e9DjLi1hsw/e1vf/Otp6ysjBkzZnDTTTdx/vnns3PnzgG1gE1PTyczM9NXFfPoo4+G3G9/nE4nl1xyCb/4xS+YM2eO7/XVq1cHtNodyhawY164//CHP0Q88Wkk+FslQIBdUlVV1e/ndeFeunQp0HfE7S/cNpeclCCSiFu3Sg5Uxq7ZVKSJSZ3EqWOzsuSuu+7i0UcfHdJthGvretttt/Haa68xe/ZsXn/9dW677bZen73++uvp6OigqKiI22+/3ff9CddOVefyyy+nsLCQoqIiQFp6a9eupaSkhCuuuKJXhBzMpEmTuPvuu1m3bh2LFy9m2bJlIW8s8+fP56677uL000+nuLiYDRs2UFNTQ25uLg899BAXXXQRixcv9lkUt956K9/73vdYsmRJwMTE//73v1m4cCElJSXs2rWLL3zhC2RnZ7NmzRoWLlwYMjkZjr///e/ccsstFBcXs337dm6//fY+l3///ffRNI077rjDl6A8evQov/vd7/jrX/9KcXExjz76aK85PWNKOPM7xn9GhPr6egEIq9XqS4YMljvuuEMA4vbbb/e9dvHFFwtA3Hbbbf1+/uqrrxaAuOuuuwQgcnJyei3zs5/9TADi1ltvFd3d3SIuabLgJLdIP9MV8X5OPF8mKMuPDj5Baau0iZeyNopXpr0uPK7I1tfwXqN4KWuj2HzGh0KI0ZmcDKayslIAYsKECYNe1/F2Pr7+9a+Lhx9+eEjWfbwd6/GGkZwMQn/scjgcHDx4MCbrDLZKAN/d/Xe/+x0NDQ19fl6PuPWG7E1NTb06BPp73PHx8cyafzIAWcmR2w6xHIijR9uZKzNRzP3729DTr2QsWSVHjx4FpJUlhqeP/bCwbNkydu7c6UtqGhz/jGnh9k8E7tmzJybrDLZKQPp7Z599Np2dnf22zdT3afbs2aSkpODxeHp1CPT3uAGmzpbZPSv1Ee9nLH3uaP1tgISJCZisCo5jjjHT3lWvBnC73b1aH4xmtm7dyqZNmwISaAbHN2O6qsRfuHfv3s3FF1886HWGirgB7rjjDl5++WV+97vf8e1vf5ucnN5ZRJfLRWWlDIGnTJlCRkYGHR0dNDU1kZGR4VvO3+MGyJ68GKrA2VkB9GTON27c6Es+6RQVFXHuued6pzET7DsiCDOJRsQ0vR+9cCtmhcTCRDpLbXQd6YK+q8lGBf5lXC0tLRFVExgYDAXjSrhjQTjh1qPul19+mV//+tchkzl6DffkyZOJj48nMzOTqqoqGhsbA0qZ/K0SgMSMWQC0HtsNrAPg5z//Od///vdD7uPhw4eZN0V6JYONuO31djoPdmJOMpO+ODr1TZqWRGepDVt5Fywe3H4cDwQLd0FBP8NYDQyGCMMqiZJQVomOPow4nNet78+0adMAfFF2cGVJcMTtMsl63cajn9LW1uYTbUVR+MpXvsItt9zCLbfc4puSavv27THzuHWbJENNx2SN7usy1nzu2tpa379bWlpGbkcMxj0RR9yqql4G3K9pWq6qqpcANwNdwFWapvVfBzcC+Av3gQMHcDqdxMXFDWqd4SJu6D/qjlS4gz3umiavYNqruOaaa/jPf/6Doij89a9/9fWuAFlf+pvf/Ibdu3dzzjnnYY2D6nrZbCo1aWB2SXOUZYD++Ld3tTK48348EBxxGxiMFBGFUKqqmoFLgEpVVS3At4C1wO3Aj4Zs7waBEMInlDk5OTidzphUlvQl3NB31B0s3JmZUgz9hVv4dQbUhbtaz0k6qsOKNsCCBQsA+XRhNivM9j7JHxhE1N22Sw5oyFAzov5sLAfhtLe3Bwhn0/tN7P/pQdzdQ9dtLhhDuA2OFyJ99r0MeArwALOBvZqmOTRN2wwU9/nJEaKhoQGbzUZGRgYrV64EYmOX9GWVQGCFye9///uA98JF3P6jJ/XOgImJib7+C1V+wh1OtKFHuHU/PxaVJd21dgAS8xOi/mws27uuW7eOuXPnYrPZKPtdOR+ev4XSe8s49mrklTaDxRBug+OFfq0Sb7R9KXAB8G0gE/CvX+s91bf83HXAdQA33HADGzZsGOy+RsX27dsByM/PZ4o3UffBBx+watWqQa1XL91rb28P21jqiiuu4OWXX+axxx7jS1/6kq+3h96SMiUlherqalJT5fRfR44c8a1L/zs9PZ3q6mq67NDSMYk4i4czzljFOef8H6eddlrIbaeny9GVe/fu5ciRI0zMyABS2LqnjVPmd/RaPhK6a2Q/iyZ3E63VrVF91h0no2FbhQ2H3TGgad509u3bh7vTzfuf/xDHu07f6zXba/EsG56ou6amxvdv/2s2EJxO56A+P5oYT8c6EPo6P/pw/2Ai8bivAP6taZpHVVWAFgKLu0L+ajRNewh4yPvfYR+t8P777wOyXnrFihX84Q9/oLKyMuyJiBS9Mc2sWbN8whvMJZdcwo033khpaSnNzc2+Dn/6D19VVfLz831VIw6Hw7df9fUygszNzSU/P5+DcrAe+TkmXvj3833uW35+Pvn5+VRXV+NwOFg6LxXTfz0ca08lPz896mN1tbvY0bULU4KJwnmFETWXCuZATimOBgdKi0L+0oGdeyEE6d3p/CDtRzjedWJJMZN9cjZ1Lx8jriVu0Nc0Erq7uwPq7T0ez6C2W11dPSz7fTwwno51IAzk/ERilcwHvqCq6kakTXIjUKSqqlVV1dXAzj4/PUL42xL+3u9g8J/hPSkpfGtTi8XCRRddBPQ0nwqu4YYej9vfKgkuBaz22uSR9CiBQLtk6qYy/rP3Ddo/bevnU6GxH5M2SXxe/IBEG3p8bnuVo58lw9PV1cUdKT9hmmU6pgKF1a+tpPBKaeB3VQxPLxS9KZKOYZUYjCT9Cremad/VNO10TdPOBA5qmnY98BvgbeAu75/jDn/hLioqQlEUX2XJQNFneE9KSvK1qQzHJZdcAshmOEKIXjXcELqqJFxiMpI+3CCb+ADs/WQvrifKiROCnH0D84HtdVK4E/IGPqIu0VsS6BiEcNdvbaDAXECTpwnP7W5S5qSQOMWb+DwyPMLtXwoIhnAbjCxRDcDRNE31/v0k8OSQ7FGM8BfupKQkpk2bRnl5OQcPHvSJW7T0l5j0Z926dWRnZ7N//3527drlE2Q9MQmhhTu4FFBPTEbSzhV6Im7X6248ndLFKmhpo6lNkJUWXdTcXdcTcQ+UJG+XwMEI97FX5En42PERJ7rl8P8kr3B3VXYh3CLiHioDRU9MWq1WHA6HIdwGI8qYHYATXMERC7ukv1JAf4LtkuD9gdDlgL0i7gaZHsjPjUyYFixYgAkT0w/O9L02u7vN65VHhz0Wwj1t8FZJ69vS6vnY+ZHPZzYnmbFOsCKcgu7a7gGvO1J04Z41S45iNYTbYCQZk8LtX8OtT1gQXCo3EKIRbgi0S/ROhf7CrVeB+HcI7OVxRxlxFxUVsdq6hkx3Jkkzk7DHW8h0OSjdaY9sBX7YvaWA8ROsUX9WZ7ARt73OjmOvA4dwsN25LaBRvi/qHgafWxfuuXPnAoZwG4wsY1K4/Wu4dTtCt0cGI9zRWCUQaJc889InkDQ/QLjj4uJITU0N6BDYO+KWy0aanExPT+dzqZcBkHJxErZCWQB0bEt0pXwA9joptvETBx9xO6oGlls49rq8c+1wbseOPaCyI9E3wGfohVv3uOfNmwcYwm0wsoxJ4Q5lS4xExO2zS7LOZVficzDj3oB9gh6B1gU72OOONjnZ/HEL08UM2jxtVE+rIq5IRvWOvdFXlsTC406YJNu7uhpdA2rvemyj1992fgQQFHF7B/gMQ4IyVMQ9lnpyG4wuxo1wx6KyJFrhBq9d0vmp/E/yol7CrVsiumD7WyVut6DGa39PjtAqKf/DYQBetr/E7kO7yVkmI+6EiuiFOxZVJXp7V4g+MnZ3u2l4R54XXbj9I2691HA4rZLCwkISExPHXE9ug9HFuBFuvbLE5XINuGdJtFYJSLskK6UDXG1gnUh86pSA94Mjbn+rpK4Z3G7IzQBrXP/Jyc5yG3UvHUOYBS92v8CePXuYeYoU7rzGtqgjRP867r7ob71JM7yRcWl0PUuaNjfh7nTjnOSgwSM9I/+IezhLAnXhzsvL89lvY90uqXqimrLfl4/0bhiEYNwINwzeLhlIxG2xWPjMRRf6ou4DVYGJvr6E25eYjMAmsR+zc+CugyAgfp2VZtHE7t27KVyYQKsljlSXk5q9kQucx+HB2eREMStYc8InJ/cfEeSdL7jzEU/YZZK9wt1ZFl2EqpcBts/uEeuRirh1j3vixInjQrjb9rSz88Zd7LvjAN1Hh75qxyA6xqVwD7QkcCARN8hZu+mUA0x3lga+pwu3Po+hv8ftS0yGsUnc3W5q/lvLlss+4c2F71DzXC2YYP7NMoG2b98+hBDUZsuo+9BbkSco9WjbmmtFMYWP9u99UlDfAs+8E35dyTPl+eqMIuIWQlDnFe7GKT1dFv0j7oT8BDDJfipue/gbx2Dp7u6mtbUVi8VCZmbmuBDufbfvly3lgK5qQ7iPN8aVcA+2smQgETdIu+TGL64FYMehQFtB97ibmpp6dQbsKzHptnt4d81mtn1xB/Wv1oMCE87M5YRnVCavnEx+fj7d3d2UlZXR5a0sqdci97l9pYB92CTN7YLHXpP/PlAFbndoyyTJF3FHLtztezvorurGOsFKQ2rPyE//iNsUZ5JdCwV0Vw1d1K0Pd58wYQImk2nMC3f9G/U0vNXThsGIuI8/xpxwh6rh1hkJq0Tnc+fKm8bOssDX/a2S4FLAqvrwg286D3ZgO9xFXIaFop/N49Tda1EfX0rOyfJG4P90YS2Swu3YE7lwR1JR8rf/gc37m3Y44XBt6OVSZukRd+RWiV5NMmFDLp22ns/5R9zgVxI4hD637m9PnDgRYEwLt8flYe/tBwCIy5ADqw3hPv4Yc8IdqoZbZ7CVJQO1SgAWeqeU3HMYnK6eyNRfuHuVAvZhlejRa+bKTKZ/ZSrxQT60/00qd7ksCUw80obwRJag7KkoCVyvy+Xiww8/xOXy8MCzcl0pUjvZF6bvd0J+Aop3xndnW2QlgXqf7Qmn5/pumBAYcUNPSeBQ+ty6v52XlweMbeGueryajn0dJE5NZNr10wBDuI9Hxpxwh7NJILCypLS0tNf7/TGYiDstWWH6JBmZ+s9I418OGHbUZAirRPeL9cRfMP620MxFCTRarFgdLmzlkdkV4Ya7P/zww6xatYobfvQ8pdUwJQ+uPEO+t68i9LoUk0J8obwBRLJ9R5ODFq0Fk1UhZ212QNld2Ih7CIXbv6IExq5wu9pdHPj5IQDm3T7HN3iq+2j0o24NhpZxJdwg63ABjh49GvW6ByPcAItlm4uABGVfVklfEbfNG3EnzQgd/ftbJbPy4VCitEtat0dml9iPeUdNBgn3zp0yyfr0+1LEvnaBwoJp0srZdyR8NG+dKoU7ErukdVsrCEhfloElxRIg3Ha7HYejZ/i8b9j7MFglY124S39bjqPeQcbyDCaen0fiZDnrkRFxH3+MO+HWfUr/aagiZTBWCUCxt++Tf4IynHALIXydAUMlJzvLI4u49+3bR066h4pUKdy1H0VWWRIu4q6rq4OEmTR6lhMfJ7j2/2CeN5UQzioBiJ8q1xNJglK/uaQvlvscPNAloJY7hvNahsO/FBDGpnA7W5yU//EwAEX/by6KopDgFe4uQ7iPO8adcOtRU3B/5UgYbMRdPENGpqEi7sbGxgCPu60TOrsgKQHSQ2zO5q2JDifc6enpvsqS8vIyuqZKn7shwsoSfa7J4FGTtbW1MOmroJg4dVE9ORmKb27LcFYJQPwUb8R9KIKIe6dXuItDC3dALbcRcceEjgMdeLo9pBWnkrk8A+jpUWOvtSPCVAwZjAzjVrgHEnEPWri9Ebd/ZYku3M3Nzb5Z4bOzswNskuDZZ1ztLux1DkzxJlnLHAbdLvnvf/9LvLeyxLm/LaIfYbiIu+ZYG+RdA8BU64tyH3MhOREaWqGxNfS69YjbFkHE3bZTRtRpQRG3fh78I+74vHhM8SYcjU5cHdH3QomE8SDcXZUyqtZHowKYE8xYc6wIl8BeP/C2vAaxxxDuKBisVTJjsoygq+t7BM6/Q6C+7/2NmtRtkqRpiX0OjrniiisAuOWWW2i07eVYXAJKt7vfqFe4BQ7vD9U6IVC4q12nQVwmtH3AwU+eAKSgzvOO5A83o3x8hB63o9lB15EuTIkmkmd567+95z0nR5r9/hG3YvLrhTJEUfd4KAfs8tbB6+dSJ2GyvP6Gz318MaaEu68abh39xzcSVonZrLDIWxYYyi45dOiQ7/+RJCaTwyQmda688kp++ctfAvDy07/lYEJkCUpHowPhFsRlxmGO7/mKlFd34pj4A/mfqnt5//33sdtlZK4Ldzif25JjwZxsxtniwtEUPnrzRdsLUjFZ5LZ14davXXBlyVAPfR8P5YC+iLuXcBsJyuORMSXcfdVw64ykVQJ+domfcOvlf7pwZ2dnU1otI/KQiUm9omRm+AmLdW655RYp3t2HOOirLOk7QRnOJvnW/W6IyyKhaxMLJh2gq6uLLVu2ADBvSt+VJYqikOzd376Gvrd5/e00r78NPed90qRJcpmgWu6hbDYVPNwdxqhw6xF3QaD1ljDJEO7jkTEl3P3ZJDBw4fZ4PAGTBQ+UngRl78oSff0flk3j7sfle0vnhBg12U9iMphbbrmFH91yGeUJ8oZT9u7hPpcP1RXwja2C5z5IAXcXs5TfsG7tWgDefvttwK+ypI8Epf6E0Jdd0rrDm5gskcIthIgi4o59ZUnwcHfombloLPXk9kXcBUbEPRoYU8J94IAcqjtjxoywy+jCfezYMd90YZHgL9r6D3gg9JWgBGDSV/ne3wpwueHWy+CSdSH2RY+4p0d+A/nxD77G0aQ4AOylfSeaumvl+3pFSbddcP2vvQJV+VOm5blZGyzc/VglgC/i7itBGVxR0t3djRCC+Ph4X8TbK+IewkE4wf42QHx8/JjqyS2EoKtS97iDIm7d464xBuEcT4wp4dZ7kOjVFKGIj48nIyMDl8sVMElvfww2MamzyCvcu8rA7b1v+IS78Hsw6wGEULj7Kwq/uN7Uq6IEeqyS5AisEh1FUUiarGAzmUl0JGCvD/9D7LFKZELx7scFB6tgYlozVP2KvLw8Tj75ZACfzz0rH0wmKKsBu6OfZlNhrBJnmwtbqQ2TVSFlrnw68D/vaWlSzHtF3ENYEhjsb+uMJbvE1erC3enGnGwmLjMu4D0j4j4+GVPCrbdr1QefhGMgdkks/G2AzFSFKXnQ7YDyGjMAWVnZMP0XMO0uEB4e/I7Cdy8PXS3ibHPhqHdgSjD5/MdImVVooiJe7n/Hvo6wy/l73PuPCH7utW3OnPU8CCd5eXnk5uaycOFCn8+dEC+H9LvdUBpmUKqvvWuYvtztu2QknVKUiskamJhMTk4mNTUV6DvijrV1EVwKqDOWhNsXbRck9AoUDOE+PhlTwh1JxA0jK9zQY5fsPRKHxyN4p+oiKPgOeJxkHruR684LX+KnD7xJmp7UZylgKBbNTKDC63O37Y1MuH/4sMDhhC+eDYkOmYjUbYOwdkkYn9s/ORlKYH02yeKexGQkEXdcRhyWVIucLadpYNPShWN8CHfoihKAhEk95YBjxc8fC4wZ4e7q6qK0tBSz2cycOXP6XHYgJYGxskqgR7h3V8Tx1V8LNpeXgMcOey+mIH5z3/vRz1D3vlgy18phb8TdsL0h7HK6cJuzrWyUUz1y5zVKLxGL1ue2ZlmJy4zD3en2zSDvT9sObylgcWjh1iPuYOFWFGXIfO5QHjeMNeHWI+7ewm1JthCXYcHjEDgaY3tTNBg4Y0a49+/fjxCCWbNmER/f9xyJIx5xeytLHnopmT+/AFaLG3ZfAE0v+koDw2HrpytgX5y4CJ9V0vJp+JJAvRf33rZ4Orpg/jQozFN6+b3BPvfcfkoC/ffbFsIuad0h96m/iLutrY3mdsHb24QvChwqn/t48Lgr6wTf/aOHmoahiXj1UsCEgtDWm2GXHH+MGeGO1CaB40C4vRG3w6WQlAC/unoftLwKBFWYhMBXwz0A4S7MU6hLlJ/vLnWGfPQVQvjKAd86IpOTG1T5XnD0Gexz92eV+O93cILS1emi42AnilkhdX7POdbPe3DE/a3fC9Z9Q/DOdrncUDWbGmmrxOkSXPhDwS//Bb/7z1AJt26VGMI9WjCEO0JiaZXMLoBJ2ZCS6OGVXymcttziey9S4e5v1GQ40rOO0GKOw2wP/UN0tbvwdHkwJ5vZuFPu1+nLZSQdSsT87RL/LoHh/NDkMLPhtO/pAA+kzEvGnGD2va6f95SUlICIe5d38vE9h+XfKbPlett2B9oog2WkrZK7/iHYul/+e7ffhOuvvfYaNTU1MdlGTylgb6sEDOE+Hhkzwh1pRQkMzOOOZcRtsShsf0ThvfvqObFYCRDr/oS7v66A/TE/v9GXoGwPkaDU55qMy41nyz6Is8ApJVJAOzo6sFqtvgEo0CPcr7zyCjnpkJUG7Taobey16oD9Do649YE3/v42hPe4j3jvufr0bpkrZI1384ct/Z2CqBhJq+TjPYKfPtrz/73eJ5k333yT008/nZtuuikm2/FF3CE8bvDvV2LUch8vjBnhHk1WCcCETIWcdFnI7S/WfXnczlYnjkYn5iQz8ZP69vHDsbLI6fO52/f0jk71xGRnghUhpC+enBiYmPQvGduwYQPx8fFs3ryZ2trafhOUPSWBgcLdFjTwRieUx93a7uBYs3y/Ug5sJGVOMnEZFrqru32e7WAJNdxdJyMjAxKms/HABm79oyfmFRe2bsGVPxW43fD1C2WNfOlRWSO/ceNGoGdSi8Hg7nLjqHegWBQSJob+ThkR9/HHmBDuaCpKYOStkmD0DoHQd8Tt87enJ4YcmBMJS4rSqTDL6oAqrXfErScma5E/4g1BNkmwZZCWlsYZZ5yBEIJnnnmmf+HWk5PltoD5L309Shb3H3G32XuW0SebUEyKL+pu+qA59MajJNRwd4AtewV//fAMUPezu2UD9/wLPi0Lt5aBcesfBQcqYcF0+NXXFGZMAo8HDlb1VPFUVFRENfo3FF3VUowTJiegmEN/pwzhPv4YE8IdTUUJBAp3pF/8WEfcweiC3ZdwR9oVsC+mTCmkwrkPgKZdIawSb5negQ6ZmDx9uXw9XJIO4NJLLwXgqaeeYt5Ub2VJRegI1JJqIT7PisfuodsrGu5ut7RtFEhbmBqwvL9wJyQkYDabcZp6bh56xA2QuSIDiJ1dEnyzcroEF/7AwwlfEXx4qBCEBwvyhlNaHZNNAvDiZhcPPCttqkd/oJAQr1DkzR9s3Wdj69atgJzGbSDN0vwJN9Tdn7HYaKq7u7vXQK7RxJgQ7mhsEugZ9u52uyMe9j7Uwq1bJH1ZJZ1+g28GSkFBARWd7wJgrursNamCbpVUOOLJTocls+XrfQn3ueeeS3x8PO+++y4TUuX57KtniT5P5sFflrL/roPsuW0vwiVImZ2MJdkSsKy/cCuKIu2S+Cm+96vqexKhmSu9EfdHsYm4KyvlrM76MT/xBjz3LqQmwRVra2HLTLKcLwOxE+4/vyA4//symLj+rFqWeJuM6cL92ntVAcGG3lhtoHT342+DX8RdYx8zg3DWrFnDokWLRm2vmTEl3JEkJnWitUuG0ioB+Na3vsVnPvMZVq5cGX4fSqPvURJMSkoKZrZwLC4Bi9vTa/i5LtxNcfGctgxM3tGZwfMu+uNvl5R+KoVsbx8lganePiRV/6ym9L4yKh+VqpehZvRaNvi8p6amQnxhz/46oNFbkp5eko4p3kTH3g6cLYMfLPLyy/JYTjjhBDwewc8fk6J1/zcUfnRFBziqcdsOAnCoenCCZncIrrvHw3X3CDzCAkd/j3L01773i7wTMm/dG5gbGKxwRxJxx6VZsKSYcdvcuFqHZpah4cTj8bBt2zaOHDnC//73v5HenQFh6W8BVVXzgGcBJ+AGLgdmAr8EPMD1mqZ9OpQ72R96RUmkETdI4d6/fz91dXURfW6oI+7LL7+cyy+/vM9leqySgQs3wJRcGxUtcUxwdnNwcwdLZvcck0+4LfF8fnmP59lXxA3SLnn++ed5+3+PEG+9nMpj0NohSE/p7ZvO+vYM4idaEW4wWRQUqwlzoolJF/S+KQSf97S0NLBPCVim8hjkZIA53kT6kjSaP2yh+eMWJpweopl5hDidTp599lkALrnkEp57V96MpuTB5RuguSkDAEfrHkgP358lEqqOCS6+XfDRHkiwQtLRb9NU+hueebqAe399DyaTifneiLuiXl77RYsW8emnn8ZAuMMPd/cnYXICHQc66TraTVxGXJ/LRkPTB83su3M/C381n7RFaf1/IAbYbD0tF5566ikuvvjiYdluLIkk4m4ATtQ07RTgH8C1wE+B/wM+D/xi6HYvMqK1SiD6ksChjrgj2gd9yrJBeNwAhQUFVCDr9Q5sDvS5u33CbfUNvIH+hVu3S9577x3m5MtoN1zCLmFyArNvmcWc22Yx6zszmXnTdKZ9eSrxub3zE6Ejbinc8dKG9yUooacssOnDwdklb775Jk1NTRQVFTF//nx++qj8od96mUKcRfGVRHY2yJhloFaJEIIzb5GiPSUP3ntAoevwgwBUVVXx0Uey54BeI99FIWaL1XeTH7RwV3tHTfYxdykMXYKy4pEjtGit7LvzQEzX2xf+LRNefPFFX8vm0US/wq1pmlvTNN1USwVKAbemac2aph0B+i48HmKirSjRidYqGeqIuz+cLU6cTU7MyWZfu9WBUlhYSIVT3uya/RKUzjYXnUfkDzN3WjyFeZFH3P52SZKQM/n4z/IzUIKFW3rc0ipZPk8u45+gzFrlrecepM/91FNPAfJJ4tUt8MkByMuCL/6ffF/vye2xlaIogoo6cDijt0uqjsmBNRkpoP1ZYV6Bja6unnJGfT/SkhWyU7vBlEDx8nNZuHAhEAurJPKIG2Iv3C2a9Lka3m6k7dPhSRb6C7fNZvNZYqOJfq0SAFVVS4AHgQzgdOCzfm+7VFW1aprmCPrMdcB1ADfccAMbNmyIxf72Yvfu3QghmDZtmm+W9EhITJRf1EOHDlFd3X+41NwshcBms0W0fCQ4nc6I12X7VEYFcYVxHD06iOdypPhVdG4C6xLiqtp9+1D1/6qh282+xHSKFzuoru4ZRVNVVQXIhk7h9vm0007j+eefp+bQK2Ap4oOdHZx/gvwxRnOs/gSfd7PZ4ou4F03t4L2dKewta6e6Wv4YXQVuUKBlayuVZZWY4qNP4zidTp555hlA9mP5/sPdQDzXntFGU0NPTiAtLY2urjryMhzUNsfz0Y46ZkxyR7yN6upqXt0SD2SxaJodR2cTh47IrK7JZMLj8fDEE09w8803YzKZSPC0AEVMnn1a1N/fUAi3oOuovEk0m5porW4Jv7+p8uddv68ec3V05zTctXc2ugJ6y+y6Zw9Tf17Ya7lYU1oaGFH84x//YNWqVUO+3XD09dvIz88P+XpEwq1p2nZghaqqlwI/APzNKEuwaHs/8xDwkPe/Q5aK1mtaFy9eHPYgQzF7tiyX6OzsjOhzDoc8xOnTp0e1nb6orq6OeF1lzx0GIHNBxqC3v2DBAn7X8QDurG8wwdaF0zOR1MMtND7VjEtRuH/yfB44NZX8/J7L3NgoRby4uDjsfJ5XXXUVt9xyC0f2vgSLvsmh2mTy82V5XzTH6o/TKW2XadOmkZ+fT3rOLGhPJMlq54SFqfzxBUFrd0rPvubDkaJK2vd0kFyfQtaKzD7WHppXXnmFlpYWioqKiMtex0f7BBkp8N0vpJOW3HPsWVlZ1NXVMXWCi9rmeDrdeeTnR1Zfr5+Pw/+TD7Ori+PJz8/3/YAXL15MQ0MDlZWVVFVVsWrVKpyt74KliEkz1nHCCfm+9UyaNGlAszJ1VXeBC6wTrBTO6Fsw3XM91FFPXIc16usY7trX7ZSPSsmzk7GV2Wjd2EbWz7L6rHCJBfrcrlOnTqWiooI33niDzMzMQU1JOBgG8tvo92qrqur/XN4KdAAWVVUzVFUtBCKfRmYIGEhFCfR43KPBKhFCUPVP+YOedH7vBF60FBQU4KCbY1YFM4JX/9XG21+U5/FfOTPoyEvhlMU9y4cb7h6MbpfQsQOQHrfHM7h7drBVIqwFAGQktPkmUva3SsBv+PsAB+L42yQ/81aS3HSxtCv80W9gE9JktD8Qn1vvQ7Jsrlx3fb007PPy8nxJs6eeeoq2tjbqKzYB0G2aTkpKCjk5OYOq5Q43z2QohsIqadkqbZK8sycw8YI8hFtQ/qc+ypFihG6VzJ8/nxUrVoxKuySS23SJqqqbVFV9C/gmcA/wQ+Bl4Ange0O3e/0zkIoSGF6P21Zh4+A9h6j4a2XUnwVo3dZGx74OrDnWQVVK6BQWyuiqyuy95963i8SmLsoSUug6bxrv3K+QktTb3544cWK/IzYvvfRScDVipZ7OLigfZB+kYOF2WWRkkmJt9gl3VbBwr8wAoOmjlqi3519Nsnj1FWz8CJIT4abP9D5uXbizkuR2So9Gd5MSQqD5hFv+rY/WzM3NDRjYtGnTJkSn/K4fOioflPVJsQfqc4eb2T0UQyLcWgsAmWoGM26YDkDlP6pwtg5t329duFNTU7nkkkuAnpv1aKFfq0TTtI+Bk4NergFWD8keRclAKkogOuEe7AzvtoouDt5dStqiVKZeE72HV/W4DOUmXzIJU9zgS+8LCmTUWmrbwXJlLQUOGx5FoeR3C7nhot5fif4Sk/6ce+65KIqCs/kTyDyDHYdg5iCcHf+2rgB2JgCQaKqnIFeqnT4IR7+pZK3sSVAKj4hqpiD/apImx0xAcMGJkJ0eXrjT4uqBeRyqiu7Yqo5BfQtkpsL0SfI1PeLOzc1lxYoVFBYWUllZyS9+8QuwycqLvRX48jqapnH48OEBebSRJiYh9o2mhFvQuk1G3BnL0onPiyf75CwaNzVx5K+VzPxm+Am/B4u/cF988cV85zvf8VWXjJRdEi2jegDOQCtKILph74Od4T1zeQYmq0LbrnYczX3PsB6Mu8vN0f/IsLXg87Hx1lNSUsjIyKC8o2e2ndnfmMaJF4W2QaIR7rS0NAoKChBeu2Rn6cCtEiFEr4jb5s4BIF7UkZKkkJEi5+/UB+GAfPRPyE/A1eqiY3/4KdpC4W+TVB6T+66LajC6cCcpMlkcbS33Vm8F3LK5+G46unBPmDABRVF8dsl7770HzmOkJDhp7ZDdF4cz4o7LiMOUaMLV7sLZNvhBOB0HOnB1uEksTCA+T94UZtwoo+7DD1Xgtg+uB0tf+Av31KlTR6VdMqqFO9oeJf5EM+x9sP62OdFMxvIMENC0OTrfte7lY7jaXKQtTiNtfmr/H4iQgoIC9rv3gQVS5qUw65aZ4fchCuEGb+K3U3auG0xJYHe3nOcwPj4ei0U+CbQ5MgAwu+RTiM8uqQ/8rM8uiaJvSfCgmyNeC6ZwQuiIXRfuOLe0wMqORufpb90vl13mF3P4WyXQ0wcGwGKxsGC6/MnurRi8cHdHEXEriuKzS+w1g7dLdH87Y1mG77WcddmkLkjBXufg6NODq5zqi+Df82i0S0a1cA/UJtGJ1C6JxeCb7BNluXvje9HlcvWkZKyibZ2CggLqPfW47rKz6n8rAiYvCKav4e6hmDVrlk+4dwxCuEOd9xab9+Zll2VzhdI56ZWgzPL15478RulvkyxYsIDKY2ASHqaEuV/pwt3VcYzcDBn5H428IrVXYhICrRLAZ5cALF++nIUz5HXaczgGEbffcPduu+CE6zxc8H0PtY3yhvLxxx8HDAlP9Dab6oqBz6372xlqz1OeoihM/9o0AF8bhKHAP+IGfE81o2kwzqgW7v375Td/3rx5A/q8Ltz9jZ6MRUXJQIS7q6qLhncaMVkVJn9m8NUk/vgSlM4q4tL6TnUMKOLu2o9JcVF2FNptA7NLQgl3Q4f0IF2dclhmgVe4gyNuve9JNIM6Xn/9dQAuuugiAMSBVp7e+xaJf9wV0ILWtw2/yRRmee+rkdolQgRaJTr+VglIMfvc5z4HyDr5Im/3xb0VYlDCLYTwtXRNLEhk20HYsg/++x4UXyN46QMP5557Luedd57vKSBpljz37Xuis59C0RNxB9pzE8/Jw5RgomVLy5B1IwwW7qlTp3LCCSdgs9l44403hmSbsWZUC7cuuHqyLVoiLQmMhXCnL8vAlCAbINkbIvO5q584CgLyzs7Dmjm40ZLB6OdM74DXFwMSbuEiWZGlXbsG2Ks6WLi77YLmDit4nNjb5boLcqWQ6TPh6OiNuGyHu3p1QAyHXkM9d+5chBCcuquUeOGh84Wj7LplT6/OeP7CrSdgIy0JrGkycaw5MDEJva0SgDvvvJOHH36Y2267zdclcG+FFBwYWF9uZ7MTd6cbS4oZS7qFA96vQZxFJkzP+S4cS/kuLrfJN2Alo0SKrJ5UHCiudhfteztQ4pRe/UksKRZy18k8Ru1Lg2tZG45g4QZkGSs940JiwcFKgbZPDDhw6YsxIdyRCkoww2mVmONNZJ6QAUDT5v6jbiEEVU94bZLLY2uTgF/EXdV/KUS4SRTCMWvWLPmPTtnHY6B2SfB590XVjira21qA8FaJJcVCfF48HrvHF1n2h/8NquLtFkraG+k2mTElmKj8WxX77jwQIN4Bwj1ZvhZpSeDOMtmoaekcAkosg60SkEnxa6+9lqSkpADhHkwtt15RklAoJ+U4UCX3+7ufh59fp2A2eSD/m7DodUrL5E0yfakU7pZPBifcrdtbQUDaglTMib0tuonnep+EXxw+4fafOzVWPPCsYPl1gj8+F7NV+hjVwh1tJBhMOOH+9NNP6e7u+bHHavCNzy55t3/hbv6gGVt5FwmTE8g5JXyP7oESLuI+evQoR44ENtOO9gY5c+ZMFEWhs+59YOCVJcHCrc8zif2I78cXrpYbIHmWPr9lZD2X/b9PpffIu83mGVNY+rcSFItC+e8PU/rrnseHwIhbim9wSaAQgh07dvhGgOp8Wi6F2z8x2dnZSVdXFwkJCb2+a842+fmpEyExHmqboKV94HZJ8ATB+72XvGiqwm1XKHx+/h/BcQzS17B5hywBTJmbjCnRRFdFF47G6Kqj/GnWQtskOhPOzEWJU2h6vznip9NoCPV7XrlyJVarlW3btsVsHtGD3u/CnCEYxT8mhDvSSDCYUB73Y489RnFxMd/7Xs+4olh1Bsw+KXKfu/ppWQKYf+mksFNKDYZQEXd7ezvLli1j0aJFAeck2htkQkICBQUFeNq3A7Dj0MD2MfgHpld50F3pm70kXMQNfvNblkaWcNKPM7UuFftHjdhMZspXTGHChlxKHiwGExz4+SEq/iJVrj+P2+Px8OUvf5mSkhJOO+20gKb9O73Crc7rubb+Nol/FH7kH5W8Nv1Ndnz9U3AJ5nq72g6msqTjgPc7PV0Kt26V6CJTvf85aJQVNltLpZ1hsph8c4K2bh941N2q+9sh+q8DxKXHkXNyNnig7uXYR92hIu6kpCRWrFiBEIJNmzbFZDu6cM8emJPbJ6NWuIUQg464gz1up9PJHXfcAcALL7zgWy5WEXf6knTMyWY6D3bSXRt+IINwC+r+J3/Eky6MbVJSR4+4q6qqfI//DzzwALW1tbS1tfHLX/4SkDXsHR0dxMfH9zncPRj/kkA59D36fQwXcSvOKhwOB3a7nXy/csBgD9o3v2UEEbfT6aShoQGTyUTDw/LG+kJWIROmyNzCpAsmsug+Wb104GcHEUL06XHrov2Xv/wFgE2bNnH22WfT2dmJEIJPvVZJqMSkv03itns4eLeM/qufOMrHl2iU5MnoezDC3bbLO8fnwjQ8HhEQHQoh+OSTT6DlbXlMjT0hY/oSr12ybWCd/IQQtHzSAoSPuKHHLql7McQdeZCEEm6IrV3idAnKa0BR8NlosWTUCndbWxvd3d0kJSUNWFCDrZLHHnuMsjL5KFxaWuqzEWIl3KY4k29exL587patLTiOOUickkjqgtjVbvujD8Kx2+00NDTQ3t7Or371K9/7f/zjH6mtrQ07u3t/zJo1C5z1pCV00m6Dqobw5Ybh6C3cUpgTFSlw7e3tpCYppHsH4TQFaUm4GeVDoYvm8uwTaHijEbfVzHPZUwNquAsuz8eaHYezxUV3dbfvRtbS0kJOuiAlEVo6oKFFivYjjzxCYmIiDz/8MJMnT/aJ98EKGw1t5l6JyeCKEoCjTx3FXmcnaUYS8XnxNL3XzLnPfsxEh21QlSXtu7zitTCVymPy/E3Mkv1YysrKaGlpQWmXkWezuwi7Q5779CXeiHuACcruqm7sdQ7iMuNI6mNCkAlnTQATNGxqjPkQ+OEQ7sM14HLLJ8KE+Ng/MY9a4R6sTQKBVonT6eSuu+4Ceh6B33nnHSC2kyhEUhZY97KMMvLOnjDg2dwjwT/qfuCBB2hsbGTNmjWcf/75dHd388tf/nLACWC9+2JGnLz57amIqBFlAOEi7mSL7FSo/wALwzSb0itLIvG49e/TpXGyY/He4kLaLNaAGm5FUUgtkj/29j0dvp7cbrebmpoapk2ULV2/+PWf+kT7xRdf5Nprr+Xtt9/2ifeFX/gp0DsxGVxRIjyCst8dBmD2LTNZ/doKUhekkHDMxr1lH1P5fuuAhNvV6aKzzIZiUUiZm9LLJtEnIz555Vzo3IVQEvlwjxTujCU9lSUDmX/Svwywr+92fI6V7NVZCKeg9uW6mM51GU64dZ97+/btvnbC0SCEoLW1lZaWFrbtl9+56RNd2O2xaRPgz6gX7oHaJP6fPXbsGP/4xz8oKytjzpw5Pn9bv/PGsjNgf8IthKD2JfkDnvh/E0IuEyt04d67d68v2r7zzjt9dtEf//hHduyQQ9cHKtzmbjlIau+R6Ke7ChbuCq9wpyfI0Fr3ucPVcidOSwKT7BXjcfTt1dTW1jLbPId53UWYk828VijLNwqDLkHqAvkdaN8jf/z6Tb6goIBdW54D4IXX9vhE+9RTTwXk+dDFe88ROcrXPzEJvSPuuv8do/NQJwkFCUy6cCKJ+YmsemkFGWtzSHc7WfrOAUzJ8jxHI9ztezpAQMqcZMzxpl7CrWkaAKeccgoJ9g/lMW2Sv4GkGUlY0i3Y6xwD6lvSHGLgTTjyvHbJP2/+l6+2frB4PJ6wgZi/z/3uu+9Gve6rrrqKjIwMMjMz+exV3wfgnY0P89e//nXwOx7EqBXuwZYCQuCw9x/84AcA3H777axfvx4YGuFOW5yGJcWMrcyGo7b3I2DH/k5sZTas2XFkeMsHhwo9QXnHHXf4ou3169ezZMkSLrjgArq7u7nzzjuB6J9s9JJAW7384e89MriIWwjhi7gzk+X16FVZEiTc5niTrJrwSPHui7q6Ov4v4RwApn6xkAOt0tsOHjWZ6m070OYV7iuvvJL09HTS09OxeqRRnJW/PEC0dWbPns1LL70EKcuAwBGTEOhxCyEou78cgBlfm+ZrLmZJtbD8kWIEMLerlVc1efONppa7fbc34vTacAcqZTQ7p9A7IbE34l62bBmTk+UooTc/ketWFCUg6o6WFl9FSUa/y+qByxzHXN57Y3M/S0eGPt9kYmKir40CwP4jgr++LDjllLVA9HZJfX09jz/+OID8LqTLfEiCqMJqje0YDBjFwh2LiNv/83V1dcyZM4fPfe5zlJSUkJaW5vO5Y2mVmCwmMlfLqLtjS+8RaHXe2tUJZ0zAZBnay6NH3Hpj+TvvvNP3+Hr77bfL/RngedZLAhsq3gRgzyAj7oZW6cNmpECWd6RnT2WJ3Ge9KZQ/eoKyP7ukrqaOE+JWADDp0slUe4eu5+cELpdapEfc8tr94he/oKWlhZaWFn73y28CcN6l3+wl2jqLFhVDqpzMc15B4D75WyXNHzTTorUSlxlHwRWBdfxx6XFYZqcSJwTaf21k5xZEVcvd5vW39cEv+70R91z/xCRSuOfnN4Dw8OnhZLrsus89sHput91D2055zTKW9h9xJ0xKgDkQr8Qzzz7PN5nJYAhnk9z4G8EX7xaYJsi+JdEK97PPPovH4+Gss86ipaWFtWd9GYB///2nfPGLXxz0fgcz6oV7MB43BArS7bffjtlsxmw2c/LJspPtO++8E/NJFHS7pGNLbzGp1f3tIbZJoCfiBnzRto4edetEK9x6SaC7fTdxZkFFnZmOKEeQ6cKdkpLii7anTuz50UVUyx1hSaDjUwfppnTsWXbaspNxu+Uck/HWwKg4ZV4KKNB5sLOX/aJXlhzqY/RkTaMCcRPA2YSr42DAe/5WSanX2576pSlYkns/rRSeKnuxTK1vJnXGNUDkdolPuH0Rt3x9TiG+xGReXh6TJ09m7owc6NyBy2Pmg11yuYEmKNs/bcNj95AyJznimeLb5rQAsCbuxAH5zr32IYxw64PEdtXOG5DP/e9//xvoaVg1lDXcMAaEe7ARty78erSt459hHjLh/rAzoH1lV3UXbTvaMCebh2TQTTD+rQL8o20dPeqGgd0g5dB3JwXZHQihsPtwdJ/378WtC/eUCd4Jg/FLTvZZy+2NuMv6jriT9spr6ylxUXlM8W0rGEuyhaTpSQiXoONg4DpnBZUEhkJvLEXHJ5SWBha468Kd2ZlF/av1mBJNTPvylJDryVojv0MLO5tpS458xnfhET5/PnVhKnaH4HAtmEwwY3KPv62qKoqiyOSntyzwzU+CEpTb20L2cAmHz99enhHxZw5nS7uoJG5Jv108IyGUcDe1CY55NXrjFjPqipOj8rnr6+t56623iIuL44ILLsDhlJNHm0zhWwIPllEr3LHwuAFWr16NyWTi7rvvxmzuKVnzF+5YWiUAaQtTSZySiLPWyc4bPvV9+eu8ScncU3NCDgWONSUlJaSkpHDmmWcGRNs6S5Ys4Qtf+AIWi4Vly5ZFvX7d586Kl4OJdpdH93n/8+4T7ryeH50vORnG4wa/niWHwkfcQgjya7wz66xN9t0AghOTOqnzvXbJ7vaA1wtyZa+PmkawdYcWNM3bypUOjYMHAyNu3SrhFXnjKLy8AGt2aH9Un81+Xlcr7fYZkLwkIuG2Hbbh7nQTPzGe+Bwrh6plw6vpk8AapwT42+CtE299G4C3tsl1JEyWPbRdba6ISi11WrbICD0zCuE+1HoIm7CRZkqjoaKx/w/0Q6ggbK/fbGm2bpg0/1ogcrtEt0lOO+00MjMzve19YdpEeU6HglEr3LGySm666SYaGxu58MILA17397kPHJAJmlhF3IpZYdmjJZiSTdT8p5b9d8kfsH8Z4HCQm5tLbW0tzz//fNjSrEceeYTGxkZmzIh+RhK9ssTqkse3u3xgVokUbvnZKXlKr4jbv6qk1yAcn1USPuJu+7SdNGc6jZ5G8lbn+YQ7XDtXPUGpR646ZrPii7DKwnQJ1Kcqo32rL7ego0fcjk+ll1twWfiRG9YsK6nzU7AKD3O62mDSVyMSbp9NsjDQJpkbVAoYKNybQLj5eC8+u2sgdkk0FSU6VdVV1LjlyWzeOzRWiS7ccV5HqlFZC0Qu3ME2iX5Oh2LEpM6oF+7BRtyKooSctdzf59ZnOI/lRMFpC9OY9utCFLNC2W/LOXRfGU3vN6NYlJjMKxkpycnJxMWF9xvNZrNPKKNFF257swzVorVKAoTbT0yDI259EE6XvfcgnMTCRJQ4he4aO67O0DO31Hm70H3o+IBJkydxxJvkDDeBgj6hRfve3sllfZSc7nH6I4RA2+f9T1DErfcpSUtIo+twN4pZIaWo78FXWd4k96LOZpjweQ6Wh3jkCKI9jHDrIyaDhXvq1KngbkPp3IbLDZu9Pne0lSXdNd10V3VjSbWQMjfy31FVVRU1HvnE1p/dFQmhhHtfhbzeV58l/7+lNJe4+LSIfG7dJrFYLJx//vnA0A511xmVwh2L4e6RoNslOrGySnRSV6ey8D45O/2Buw4i3IKsNVkRJ26Od3SrpLFSeoUxsUpCeNwQ3i5RzApJ07x2SXnox3q9fehHrg/JyckZsFUCsNjbGPHD3b2fLo7UQUMrZKW6wX4kQLh1m2RRVjF4pMVjju/755m1Rtola2gAcxK7ji3pc3mANu8+W2dZueOOO/hghwxK5hQqlJaW0tra6ktMghS47OxsRLOsDnrL63OnL9OFO7Kh781bWgDvwJso5gCtrKyk2i2TBs7KwY+g7CviPmO5wvJ50NmtMOuEGxBC+AbhhUO3STZs2EBWlryRHvR2WpxdMHSD50alcMdiuHskBAv3UGyr8PICZn2nx4YYLptkONBLAqsObSI+zkNVPbR2RG6X6MKdlJTsa94UKuKGyHzuUJUlneU2OvZ20unp5Gh6NWazOcBPD0XStCRMiSa6a+y95hBdu0T+WN/e3vtzerS9vMhMfHw8dXV1PiHRbZKilCKAiFod6D739NZ2LB4P9XEX4Xa7+/xM26dye+9Xv89PfvITXnxD2oBzCwNtEn/rzN/nflNWCpJe4rVKPm3D4+y/ftxXvx2Fv93W1kZbW5vPKvHUDn70ZF/CXTQNLlknj9syUY6gvfHGG3tZWv4E2yRgRNxhiZW/3R+6z60zVDNAz75tFtOum0LKvBQmXTC0xzSc+EoCXQ6m5MgBMHsOR/55Xbgrm9JpbIX8XPknVMTdZ2XJrPAlgbpNssX5MTkTcwLWES7iVswKqfMC67l11iwEs1nObtPWGSg0emJy+bye5lC6KOjCPc0sJ8zV68X7Ij43npQ5ySgOD7M7ayGxiE92hZ+Cx9HsoLu6G1OiiSqn9EjccTJo6Kj/pJdNoiOF+z3MJg9bD8ibrzXTStL0RDxdHjr29T8jTosecUfjb3s7Vx71yIg7rnHwT6LByckuu6yqMZtlVdDFp8jlylsXsOrEU6mqqmLdunUhxTuUTQJDXwoIo1y4h9ImgUCfe6AzvEeCoijM/3kRJ29eQ3xO7EdZjSS6z52bLNUwGp9bF+6PD8joaP1Sb7+QkBG3jJQqQkRlfQ3C0RPCHzjfZ+LEiXTZBfUtMlE1MSv8voVLUFLVyS3OQ5idbjZ/GviWnphU5yq9hFu3Sia5JwWsvz90n3t5tyxEfnFT+JI5X2OpolSONRwDSwZYJ4C7kys+u57nnntO7p+qBnxu2rRp4OkkP+0oHg+876vn1jsF9u1ze5weWnfIa5UZppVrKHzC7ZYed2L74AOn4Ij7QKWsqpmVLytApk9WWDYXOroUbvzRC5x44olhxTuUTdJlF1QeA4sZpg6hPBnC3Q+6XTKUlsxYRve5k5AGd6SVJUIIX3T03i55MztNleIcKuKeWygf17cd7G0VhBuEYz9mp/njFoRZsNWhkZeX5xvEk58Dpj68WN3K8I+4hRBsv24nJ+0tZ01bHW9tEwHv6VaJ6hdx6z63HnFndUgB0H30/tB97iUOeVN6f1d420L3t9MWpcrtJcpmKRnx9bS3tfr2JWTEDaQq8v1d3lxFuncqM91+CUf3vm48dg/JsyMfeAM9k3wk5MXTJbpIcCb0sqaiJVi4dZtknl+5/CVr5XV/8cMEXn755QDx/vOf/8wjjzzCI488wkMPPSSX97NJ9Br+GZPBYjE87gCinXV8MKxbtw6A7OyhHxAzFtEjbjpls6ldESYou7u7EUJgTUjmnR3yB7DeqyehIu73XrkfgM3bu0KUBHqTk0FVCXUbj4GA9qltdNFFXl5evzaJTs/Q9x7Rqn+jwSdiE5zdvL2tZ/myo7Ll68QsmJwD06dLS8RfuNOVdKzd8VhSzL6ZafpDj7ind5gwCQ97K8NH6v4jJv2Fe8OJU7n00ksBmDRpki8xqaMLt7vD2zDMW4WRMsd7QzzUd7VH5w55w4ymfht6Iu7FJYt9PrctirrxUPQWbnks+pRwABevlX+/8D7EWVMCxPu6667j2muv5dprr2Xr1q29bJLhKAUEiL7zz3HAcEbcS5cu5cEHH+wRIIOo0M9bx7GPgcgrS3SbJD7nZNq75A9rck7oiLuxsZG/P3gHLPgCHWRytAHfBAsA8RPjMSebcTQ6cTQ7sGZaER5B9b+kGFTlyV/bxIkTA8oO+yLVryRQeAQoUHpvz7RmOW47T3l97rRkJSDaVhTFJ9z+Vonub6cUpUZceZEwMZ6kmUnYSm3M6mrnkJKPwylCDvzw78F97A/HIHEVAHOnKNxx++MsW7aM4uLiXjX9unB31G2BLNjnjVJ9uYODfQu3bafMb0Tjb0NPxF1cXMzR944yg5l0ltkialAVjnARd9HUnmOema+wZLZg20F4dQucd2IqL7/8Mvfcc0+vOVr9bRIYnsQkGMIdEdddd92wbGcsolsltRUfkjRLjipsbhdkpvYtTLpwK5mnAXCan+0aHHHfd999dLS3Q+cnkLGeTw4ECreiKCTPSKLt03ZspTasqpXDD1bQ/HEL1uw4diVIMzovL4/DEUbc8TlW4vOs2OscdB3povtoN80ftfjenxlvx+OB93bC2at6EpOqtyNgqIh7mnmaPL4IbRKd7NWZ2EptLGrZz4GkE9hxCJYXBS7jcXro2C9tnbT53og7WU6/M6dQwWKxcOutt4Zcvz6b/LGKTZAlxU4IQdKURExWb418uwtLamg56dwpo+RoKkrAL+JevJhX3a8D4Us6IyU4ObnPJ9yBy110ssK2g4JXtwjOO1HmVX7yk5/0u/7hKAWEUWqVDLdwGwwcX0lg5RHmTZFf6kiibl24ncknAXDasp4fQkJCAmazGYfDQU1NDfffL20S2mWtmm9YuR/6bCudZTba9rSz//9JwVz024VUNsvILi8vzzdCM9zgG3/8J1U4dJ+MtnNOlZbaZEVONv32duHdJ/kZdZ78e+LEiSQkJPhKAuvr65lmibyixB/dLlndXs+JrbVsf7SWY6/W07K1BY9Let4dBzvxOARJ0xMxp5i9Vol8GprbT/WDXsvt6DhCWpKHlg6oa/LWyM/oe2Rqd60d51EnlhQzqVEMvIEe4Z4/fz61QiYo2w/2X8HSF/4Rt9stOOCNkOcGtYQ5sVj+/cHu6NY/XBH3qBTu4fS4DQaHXhLocrmYmiN/dBELtzmFLstiTCY4paTnPUXpGfb+4x//mPb2ds444wxSTdJ2eH9nd6/16QnK9j3t7PjKTjx2D4VfKCDvrAkBfW/6G+7uj56grPpnNQ1vNmJONjPvdukbp3bJJNpb28DjEb7mUvrkCSaTiZkzZwLSLvG3SiKtKNHRE5TzXFa+V/Up+Q/uRLvsE94//SNen/UW2uWfUPbbct8+d3Z20t1t9wn37AjK1nS7pDBHCvQ+76zwKbPlee0I43PrZYDpyzKinvRat0qmTJlCR4q3B/uhvhOh/eEv3OU1YHd4S0yTA/dt+TxZIrijFDq7Iq8fH45SQBilwm1E3KML/VE7N1lWTuw+3P8PobOzE9JOBsXCCUWQnhL4w9LtkocffhiQk0HMmijL0rYd7C0QeoLy8IMVtO/pIGlGEkX/T1oF/uMCIk1OQk9krE/sPOWaQl/bV1rsWE0ePjkgB9602+QgoYnZPfum20iHDh2isb6RKWYZ9kVrlSTmJ7Lgl0XsSD/Mu2l5bMvKIve0HJJmJuFqd3FsYz1Hn5YRa9qiNFl6aM0HczK5GfRrW0GPcOckyWu4N0KfW+9Pkhmlv60PvklMTCQzMxN7hpxtp+tw75tyNOjCbX/ewb4f7CPb2d3LJgFITlQongFuN2zZ1/v9UHTYBDWNEG+N7PszGEadcA/XcHeD2KFXKaTHyXAk4og7Q05GcFqIxoR6xO12uznjjDNYtWoVC2cmgquFxvZ4ahpCN5vyOASKWaHkj4uwpFhwOp00NjZiMpnIzs7pd9SkP/6jG01WhenXy5lqrLlW8MDaqQ48HvjN015/e17g5/XE7fbt20m3p5OgJBA/KR5rZvS1/FOvncL+Uz7m7knT+OGkZRT+YSlrPz6JdTtOZtH9C5l88SQyV2aQf8kkr78tZ2iJNDLUhTtRSMX2VZbM1itLQnvPvoE3A/S3CwoKUBQFa24cXaILT5tnUCWB7e3tpCgpHL2nFtOLR/jTofc56+jhkKM/V8lTFLFdovdhnzm571LSWDDqhFsf7p6cnGzUVo8SJk2Sg0rinN4ugYf7/0xHRwdkylaz65f1/hH4D1nW58icM2c2dMgavK0HApfXI26AWbfMIMM7EESvn87JyaGjy0RHFyQnypl2+iNlTrLv8b/g8wUkTJRzSSZMSgDglCkySvz3W3J5NWiqMj3ifv/99302SVqUNok/c+fMgnZZvaOLTWJBIoWX51PyYDGrXlpB0tQktu2zwewHAWkJRIIu3KJzL+Afccvz2hHCe/Y4egbeZCyLLuLWhVuf7CMrO2vQJYH6fJNFlvkgwGUxkeRxM++1g7x3yvs0bg4cvLRqobxeH+yKzCoZrlJAGIXCbUTbow894u5uOUByokxsNbb2/WM42uCG5GLMit0X+fijR9x6tA1eIeyQCUrfhAVerFlWCq/MZ/LFk5h5c09vGH9/Wy8FLMylzxnIdcwJZjJXZmBJMTPjpmm+13UBX5olhVtvHxIu4v7444+ZOsCKEn9mzZoF7R8BoZtcAewsFXz38RMgvpAJ8Qf48Rcjiwx14e6slxMt+EoCZ/cMbgqeVKFtVzuebg/x06xYs6J7itD9bX2yj6ysLI56pHB3DrCyRJ9vsiRBNuP6cPZUbp+yBGVyIh37O/n4Qo22XT1jA1YvlH9/sLt3u+BQDFdiEgzhNhgG9Ii7pqaa+V4/sT+7ZMdhWSmRn1zWa/owgPXr15OZmcnPfvYz32uzZ8/2E+7eP7RFv1lIyYPFAXN5hvK3I7FJdNR/LuWULSeRNLUnoo+fJIV7RoIdi998GMGzuuvCbbPZmG4ZWGKy1/ra5OTMoR7vt+wVrL1J0NadCM2v8bmFf++VlAuHLtx1Rz7CGiebebXbBHFpccTnWfF0e+iqCvSfdZskaXHfQ9Vdrt7XqlfEnZXF0UFG3Lq/vShOloy858lga2oOi19ZzcRz8xBuQe0LPfN2Tp8EEzJlR8e+ZjXSGa5SQIhAuFVVPUFV1Q9UVd2kquq/VFWNU1X1ElVV31dV9Q1VVYfh/tLDcDWYMogdesR99OhRFkh96tcu2V0tr+/0rNAKf8stt9DQ0MDSpUt9r8mIWzZKCrZKwuEfCESTmNSxpFiInxAf8JpulYgGOyd466mnTYScjMAfdH5+PgkJctmB1nD7IyNuKdzafoHTTxDf/1Sw/mZBczvMzNgNu88nf1JmxOvWE8xHKsqZ4/3F9xqIE1RZoicmk4vDC/fjrwpSzxT87X+B4h0ccWdnZ/uskmhm3fGnvb2dBBKYxjQwK2hKBhkpMGmSmYLL5QxI9W80+JZXFCUqn/t4i7grgVM1TTsZOAycD3wLWAvcDvxoqHYuFLGassxg+NCFu6amhoXTpXj11bNECMGBellhUTQxfKgT3PQrPT2dnJRWcLVxtAFqG/t/vPX/PukNqiKp4e4L3SrprrGz1tsie9nc3svpJYHxxDPJNBmP4iF59sCFOyUlhYk5VrDtp8uusMPbE2lXmeD/vitot8FnT4WV6feCsJObG/mEHXott91uZ3qejKz3BtklwXNwRhJxP79Z0O2Ar/xKsGVvz/UKFXFXe7sEDibinmcpwowZZVYqXWYL86ZKgc5anYnJqtC6vQ1HY0/yc9UCr88dxnrS8XgEO70TDuvByVDSr3BrmlajaVqX978OYC6wV9M0h6Zpm4HiodzBYAyrZPShWyX+EXdfPUs+3A1t9gxwNjBjYnQDLubM9vO5I4i6/b9Pun0TPBgjWhK8Vkl3rZ2vXaBwwUlw62WhbwazZs2i0DwFk2LCkWXvd/KE/pg9e7Yv6v5wNxypE5x5i6ClAy44CR77oUJjg7xZRSPc0GOX5CbLqHTfEW9lSYiSwO5aO12V3VhSzCTMDHwi8UcXf4cTLr5d0NAi1+lfVQJSuH0R9wA97o6ODhbGLQKgZap82tBLAS3JFjJXZYGAhrd75raMNOI+UAkdXbLkc0Lm0FslEQ95V1V1KnA6cBvgf8VDzmqrqup1wHUAN9xwAxs2bBjEbvZQViZHqMXHx1NdHYHxdBzjdDpH/TFEghCChIQEOjo6SPCUAdP5tNRNdXVNiGXh5vuzgHioeQiPOy6qczR58mTY+glkrOWtLW2UTOlb+MvLpVpbrVY+OeACLExKraO6uu8JCfqiyyQj0o7KDnAc5fdfk6/7H4Z+7SdOnEinWQqRPc8+6O/D5MmT4eBHkHcV/3mni/ufNlNdH8eKeXbu+VITdXXyBqoTzfb0G7CzfRdQwCf7uqmubqY7Ux5v064m3/pa35BJvoQFCbg8rpDbcblh/5GJgMKi6U4+LY/jMz/o5tHbmjhyRI7wMZvNVFdXI4SgSTThUBzQBBV7j2BJi25C7cOHD7PIIoV7V6Js4jU5o43qannDsS6Lg3eg4sUjiJWyPHByGljME9l5CA6UHiU5IXTk/dqHCUAmC6bKcxINfelAfn5+yNcjEm5VVdOAR4GrkULtPwlhyG+4pmkPAQ95/zv4qSu86L0G5s2bF/agRgvV1dWj/hgiJS8vj4qKCiZluUlLhqZ2M3FJk3tFJ8+/J/honyDe1I696h7y8x+I6hwtXryYp9+REfeh2lTy8/suQ9MTVvnTFlH9jIXEeDhxWR7mKEf5+eNIdHCAQ7jr3WH3Xb/2S5YswfOo/Hmkzk8d9Pdh8eLFPPniEwC8tV365wunw/9+nUBmqly3Po/iggULotre0qVLefHFF7HYpQdz+FgC+fn5ZK60UU4FzkqXb33tZfJ3OvHEPOLi4kJu50ClwOESTMmDl++xsvRLgk2fxvO757Npb28nMTGRBQsWoCgKc+bIzG6jpZFJzkmkd6WTURRdiaFVsTLXMheBYEeizKGsLE4nPz8DgLSL0qi5txbbRzYmT57sqyxaPMvD1v1Q1TKJU0OUpgKU10uhP3FxIvn50fUNH4gORJKctABPAD/WNG0/cBAoUlXVqqrqamBnVFscJIbHPTrRr1dNzVHmT5OvBVeWuFyC2x70ZuYTngR3W9TzfAYkKPf3szA936cWp/RHFk5nUKINEJcZhynehKvdhasj9ATFOrNnz/bVcKcvGNikzMHro3MXZqS7WTgB/neP4hsdKYTw1a5Ha5UsWCB9g9rDm1AUWWnhdAkSCxMxxZuw19pxtsnjbY5g4M3ew/Lv+dOgYILCE3comEzwqyetkHk2hYWFPvHUO/DVCD1BGf3Ewfa9DuIUK61prWyrkX3B/ftwp8xLIWFSPPY6R8B8opHYJb6WBiFyGUNBJIbaZcAK4Eeqqr4NXAT8BngbuMv7J+Z4PB7+85//cPvttwe8bnjco5MJE2SpRk1NDUu8HXK//YDgWHPPw9hf/yc9zxmTYYLrWSD6CZpnz54NXQcxiQ6q6glYfyj071NNmxQxfbLfwaAoSoDP3RezZs3yCXfu0uiENNz6wENa1zPMmAyv/EqhwC/ZKvuUdJOYmBj1udWFe/+ebUzNk1bHoSq92VTPLEMeh4fW7d6BN30Mdd8T1Jnv1GUKP9HryvNv8vnb0CPclXZZbTKQLoHKPil3xyY4ONoAWWmy5M/3vqKQc6qcvs6/umT1wr4TlB6P4BNvPmW4hLtfq0TTtEeRNkkwT8Z+d3o4evQon/vc53C5XFx22WUUFRUZw91HMfr1Onr0KN+7QuG1LbLf8ZqvCV67F3Iz4I5H5A/jZ19W+O2PZN+RAUXcCOjYDqknsnU/nLUy9LL+w93LamU1x+KZsUksxU+Mx3a4C3tNty95F4r0tnQyTBk0eZo4uWTNoLerj8bs3Plljn1wORZLYGymT5GWm5sb0SAjf2bPno3FYqG8vJwNF7g5XGtmb4WcZDdldjIdeztkglKAp9tD8qxkOXw/jMbu8fasmT+tZz+uOB1++DCQUkJBQc94/LS0NMxmM4e7yiEl9Pyh/WEtl4OA9qVNADucu7r301XuqTlUPS6bhs38hhyopUfcH+6RTyzB501PTBZOGJ7EJBzHA3AKCgq49tprEULw//7f/wOkH2kMdx+d9FglNRTmKbz3gMKS2bK/w+qvCW76rWzQs3weXLKup61rtMKdnp5Obm4untYtQN92iS5iOTk57CyTP7iSGM2Xoddy9xdxN74lh1lnnJQWk+90SkoKEydOxOFwUF1d1et93SbRn4CiwWq1Mnv2bIQQ5CbLyotezaYOdfr1J+nbg9Y/qw/KAjn4KdFig7hc0nPn+15XFCVg9GS0EbfH6SGlRg5uetcsw+ILTuotstmnZIEJmj5q9tlcUyfKmYsaW3tqtf0ZbpsEjmPhBvje975HXFwcTzzxBHv37jX87VGMLhR6RUNelsJbv1U4pUROrvDIy3K5X16vYDIpAxZu0EdQ6j1Lwlsl+tPbhLx8X3li8cyoNxcSn1VS07dw64/kS69Z2udy0aCPyAw3MzlE72/r6HZJvFtWd/lKAv1quZu3tgB9Twzs8Yie2Wem9byuKAqZVvmGK3FRwGfk6ElZfRHtIJzW7W2YXWYqPTXssU0hwQob1N7LWTOtZCxNRzgFje81+fbJ53Pv6v0Z/Tu2bM7wRNtwnAv3lClTAqJuwyYZvegjXf1L0dJTFDbeI+ucAc5ZDWuXyC+/LtwDiUJnzZoFnVK4d/TWLh/69yl1wjIcTul3RjoEvD/iJ8qI214Tvg2pq91F04fNYIKctbGb01QXbn12HX/8rZKBoAu3vUXWJISOuKXN1Vdi8kgd2LplJBvcVtbqkFnAVteMgNezs7NpEk0QD84mJ84WZ8T73fSBrKTZZZHX4/TlsnVrKHLX9/a59YZT74doOKVPS2dE3H74R91vv/02YAx3H434Jyf9SYhXeOrHCm/+RuHfPw5MosEgIu6uA5gUF+U1sqdGKHThNqXK4Y2xSEzqRJKcbHyvCeEUZCzLGFAr13D49/kOZjBWCcjZaAAaKt4F5IQKHo/wCXfH/k66jnTJGW/mhb/p7jnsXd+03u85W2Qjq5r2wABNT1CKSbL0Tu88GAk+4U6Tvkwom0QnZ50U7oa3eoT7lMXy7+c3B/ZW8XhkrgYM4Q7AP+q+++67ASPiHo34JyeDsVgU1i1VSIzvKVnT6/UHItyzZs0C4SLVJA1JXSSC0a03e5xs21cyK3aPuj6Puw+rRI/octfHLtqGviPuWFklB/d+SG4GdHbJhlNxaRbi8+IRbilq6UvT+5zxpmeS3t7vtVTJPrgHawKFXxfurkJZ6tj8cWQDXYRb0KwLd84qTIrgnNXhl89Ymk5chgVbeZev7HB5kSwdrG2Clz/sWXYkEpMwCoQbeqJum036WoZwjz7S0tJITEyko6PDN+glHN3d3QghiI+Px2yObnQc9AiX0iUfuT8tC72cHnG3uacBsY244339SkJbJUKIHuH2lqDFir4i7sFaJf6VJXMKZOSrN5vSfW6AzH4mTghVUQKy335n/Sfg7qSq3hTQ/lcX7qZsmRj1n5y5L1p3tOFqd9Fg6aIhPo3F0zvIzQgvsopZIWetHnXLbSmKwrX/Jz/z8Is9+6SNQGISRolw61G3jmGVjD4URfFr79p7qLs/g7FJoEe4Oo7J0OjT0r6tktoOGQgsjlFiEnoaTdnr7L36VAM4KuTs8NbsONKXRDcCsD/04y8tLcXjCZzZZbBWiX9lSV6qTN4F+9zQ/4w3eg13sFUie5R4SHDLp4Xtfvee7Gz5ZFKTIp/aWrRWX4TfF8dekTerT5KkHXX6sq6+Fgd6KmLa9/W0TPjCmWAxw0sfwlHvDEt6++DhTEzCKBFu6Im6wYi4Ryv+7V37YrDCrZcEulq2A+Ej7traWojLo60rkbRkmDYp9HIDwZxoJi4zDuEUAd3mdNrek08dOetyUGI8zZVeEmi3233tUXUGa5VAj12SIA4DPdFz8hw/4e5j4I0QIqxVovcoyU6Qf2/zaxSmR9y1jloSCxNwtbsChDUcdRvlMb+XLvf73NX9i33SFDmgqOtIj8hPyFQ4bw14PPD3jfK1kSgFhFEk3FOmTOEnP/kJc+fO5cQTTxzp3TEYAJFG3Lo3O5i+HbNnzwbbp4AU7uAZTDweD9u3b4dkmXUqnhnZrDfRED8xfElg+2YpOLG2SXT0JOLOnYEdKQZrlUCPcLva5Lr13uq6VeIbeBOGmkZo7ZAjFycEtQR/7bXXAJhXIC2mbQdDWCVNTWSukB9s/qhvn7ursov2Xe2QaGZHSj507GDhrP57iSROk02obBWB0fmXzpHfkb+8JHC5RiYxCaNIuAFuu+029u3bN6gvncHIEWnEvXWr7DWybFmIWYIjZNasWWCvJDHOTkMrHAv6fe/cuZPm5mYyCk4BoCSG/raOXlliD6oscXe56dDkU0XOutgmJnX0c6dpmu81/z4lA7VKoEe4m6tkZcnucrnu7JOzmHb9VIp+2reK+VeU+N8shRA89dRTAFx2npyBYptfflUX7sbGRjJPyJD70I/PXfc/eaM6OjUbl8kETc9H9CSXNEUKd9eRrgCr6/TlsnVraTU89MLIJCZhlAm3wehmOIVbT1BmJcjoPtgu0UtLMwulcC+OYUWJTk9lSWCCsumDZoRdkLY4rdfsObFCP3f6uYTB9SnxR4/mD+19j8xUaOmQUbTJYmL+XfOYcFrfgVWoEZMAH330EZWVleTn53PZuYswm2F/Jdi6pXDqHreMuDMAaP64pc9t6TbJS0I+2cR3bMRi6b8pqiXFgjU7Do/dg72u58ZrNitcc7b89w8f9vrbwxxtgyHcBsNIpFZJzCJuwOqUJmQ44bZbZGQXy8SkTkIYq6T+da/PvH5obBIAVZXDAv2FOxY2CfRUlhwuL6doikx+7gqTRwjmySef5PePvAFA0dTAm6UebV988cUkJZqYP1X6yfrMMv5WSWpRKpZUC11HusJW7jjbnDRtbgKzwutMgO4jpJkj3FEg0TuPqO1IoF3yxbMVFAWavcVRw52YBEO4DYaRSCLupqYmysrKSEhI8EV2A2HhQjlFd33F2wB8WuY/aMLDpk2bQImnri0dkwkWzgi1lsER74247bWBwlL/hiwxG0rhnjFjBhkZGdTW1vrOdyxsEpCVJXPmzEEIwaR0WVnS3xyiOj/72c84UCVLPP0rSjwej0+4L730UgBfF0ndLvG3ShSz4kuAhou6619vQLgE9tkZdFjioG0zaamRT8acNNVrlxwOFO5pkxRO84sp1HkRrzJmGMJtMGxEEnF/8omcBKGkpCSiR9pwLFiwgFmzZtFR+wEQGBHq/vbEmafh9ijMLcQ3+CeWhOpX0rG/g85DnZhSTX1WXgwWRVF8EynrPncsKkp09JtqopBNXvqaQ9SfyspKSJRPOQXZPfX8H3/8sc8mWblStnNcMlteEz1BqXcI7OjowOFw+PncoROUdRvlE8ahAu/xdnxCahTCnej1uW1HevdF0Wu6wbBKDMY4kUTcsbBJQArXJZdc4qss2X1YDk+GHptkxqILgNgOvPEnIcQgnIO/ks/9GWekY7IM7c8v2OeOlVUC/pUlO4DIIu7Ozk6aO8xgnQCuNp5+/Le+9/xtEn0S6KVy0htfxK13CAQ5i0/mCXplSUuvbXmcHupfkwOc3ozThXtbVL1vksJUloCcv3PJbDhrBX0O5hkqDOE2GDbS09N9c0+GGz0ZK+EGpHC7WjA5j2LrhjLv/UIX7qQJq4DY9eAOJsFnlciIu213OzX/qcVkVcj78tBXRgULd6ysEugR7sYjm4CeypK+qKqq8kXb2PZy33330traGtImgZ4Wu5+WyZl2INAuyViWDiZo+7QdV2fgTENN7zfjanORPDeZt2u95X9RRty+Wu4Qwh1vVfjkLyZevie8hHYc7KTpo2Y8Tk/YZQaKIdwGw4aiKL6oO5xdoj/W68m1wVBSUsKsWbPwtPfUc/v8beBYlzS2hyrituZYUcwKjkYnbruHAz+ToeOUqwuxTopdU6lw+CcoBzNlWSh0q6R03wfkpEO7DSqP9f2ZqqoqSJKfm5jeTEtLC/fff39ImwRkp8aZ+WB39Ayr909QWlItpC1MRbgFrdsCG04d89okplUT6HbAhLQOcLdGZ5VMDR9xR8KRv1fy4dkfc8j7lBVLDOE2GFb6skuampooLy8nMTGRoqKiQW8r2C7ZVe7nb88+j53l8aSnwEnFg95U6O2bFeLzpF1S91IdxzbWY04yM/PmIciEhiA4QRlL4fbvWaJXlgTPIRqMFG6ZyTvvNOmD3Hvvvfz5z38GAm0SneAEpX9JIOBnl/T43EIIXxngkWnyWAszpJBHJdwFCWCC7qPdeBzRR82N78gkdPZJsa/VN4TbYFjpK0GpJyYXL148qMSkP5deeil0yu73Ow95fDZJwszvAfCVcyElaeg8Sj1BuecHsmnztOumDFntdjD+CcqtW7f6PO5YWCX+lSUT06RA9SfclZWVkCwnRzh3/UzWrl1LS0sLjzzyCBBok+joCcpPDgRaJT7hDlHP3fhuk+wDM8HKR245AXOet79JNMJtijORmJ8AQo7AjAb7MTvtezowJZr67dsyEAzhNhhW+oq4Y+lv6yxevJjCrBYAPt5tk8IdP5UKm4rFDDd+ZmgTS/qwd8cxB5Y0CzNunD6k2wvG3+eOZcQNPT53Et7KksN9e9z7y9sh/WTMJjcr58Mdd9zhey/YJtHRI+4n34RTv+Hh5dqfwgmV/Pi59dgdIkC4mz5qRvv8J3x8obTbJv5fHp8c9M4S751VJ9qJOXx2yZHohLvxXXljyVqZiTk+9jJrCLfBsKJH3KGEO5b+to6iKHzu/CUg3FQ2JPDOux/B5BsRwsRnTyVgBvShQE9QAsz4+jTiMuKGdHvBhBLuWETc0ONzO73NvPqLuD+uKALFzIpZdeRkKKxdu5a1a9cCoW0SkDXS1jjZB/utbdDQNRniJ3O4KR9tPyTmJ5KQn4CrzcWHZ3/MsVfqMSWamHbdFGb/aLbPYklV5D+iibgBkvRBOIejE+4Gr02Sc8rQtDQwhNtgWOkrOTkUETfA5z93IXQdRGCmxT0HZfKXAPjWpUNfxqVbJdbsOKZ9JcSsAUOMf8+SWJYDQk/E3aBXlhzuKbkMxuMRHO5aC8Bl63pE8OGHH+bGG2/k+9//fsjP5WYobPqdwj9vV3j11wq3nfEU1MsKFH1EpS6OllQLM2+ewbptJzP/50WUNVuwdcsJiN3d3mnqohVuvWdJReRzXAohfMKdffLQCHdsjEQDgwgJZ5XEOjHpz+LFi0lW/kcn82D6rxCmVNYugaVzh164c0/P5cjfKpn7ozlYUof/5zZz5kzS09N9vccH26fEH124D+37iLxFUNcEFbUwfXLvZTftAId5Ctgr+cypPQOPZs6cyf3339/ndlbMV1jhHUTbWCqg7UPIvYSdpQJQmPeTOeRuyCFnbTZxaT1PNJ94W8IunQPt5bL8NFrh9nUJjMIqsZXb6K7qJi4zjrRF0W0vUoyI22BYCWeVDEViUkdRFJbO9f6gU2UE+u3PDs+gibT5qazbfgqTPxPDZt9RoChKwBNMrGwSkP1geipL3ED4gTgPPS8n9jU1PMbEiQOP+LOysqBTtpPVJ4K2ZlqZdN7EANGGwNnX9anwhsMqadwk/e3sk7Ji3mtdxxBug2ElnFUyFP62P+dv6OkiNX2ik7N758HGLP7CHcuWyAGVJanhK0vabArPviulJt/82qD6nmdnZwf0WQ9nzUBQxO0d8BVtctK/vWukDLW/DYZwGwwz4UZPDpW/rXPuqdN8/771ciumIYqEjkeGSrihxy7x9SwJUVny382JdDtM0PIGM0LYKNGQlZUFzgbMrjo6uuBwbejlPB4RUrijjbitE6yYEk04m50425z9Li88wldRkm0It8FYIdzoyaEW7pmT5Si8aRPhC2cMySaOW4bKKoGeyhJHyzYgdHvXJ96WUSu1f6WgoGBQ29PruPWoe0fv+ZABOdFBuw0m58DEbGXAwq0oil+Csv+ou+3TdpzNThILE3y9ToYCQ7gNhp3gBOVQJiZ1zGaF7X9R2PFXhaSE8RNtQ0+CEoYu4tYrS/ZWgNtvAt+dpYIdZVYSLF3Q+OyghVvvEOhu/cS7/tDL+UfbMPCIG/z6ckcg3L5qklOyYz4Vnj+GcBsMO3qC8uKLL6awsNAn1oNt5dofKUkKacnjS7QhMEE5VMJ9cO8W8nOh2wHlfumLR16SIj4j9WPwdFNYWDio7fk6BHbKiFtWlgSye/duvvPjfwKwzCvcA01OQk9f7kgqSxo3ef3tISoD1DGE22DYOeUUOV1YY2MjVVVVvvri8847byR3a0xzwQUXYLFYWLFiRUzX619ZMq/QW1lSDg6n4Ff/Ejz0glwu0/4swKAjbkDe6PXKkhAR97e+9S2qmuUNqr78VYQQPuEeSClkz4QKfddyu7vdNH0oe6Zkn5QV9XaiwajjNhh2vv71r3PJJZdgt/dMMGC1WsnLyxvBvRrb3HjjjXzpS18iMTG2vqteWbJnzx5vZckE/vGK4LsPwv4jcpnPrrWx97/vAAw64ga49dZb2XTuBSAclFZb6bAJX7+Z999/n1dffRVWPQ7AH375JWZmfgshBImJiQN6ouuZUKHviLtlSwueLg+pC1KGvB+NIdwGI0Ksk2QG/RNr0dZZsGABe/bsIcFTBkzgP9LuZk4h/PYmhUUFrSz6fSUQm4j77LPPRl1Wgta5B1JK2FUOK6Vjw49//GOInwaWLFLibXQ4qvn2t78NDMwmAUiaFr4vtz8Nev32ENskYFglBgYGg0SvLBFtHwGQkgi/+KrCp39TOHOFgs1mo7m5GavVGhOPXVEU7rzzTp/PvWWPA+iJthNyTwTgxJIk7r33Xt/nBizcfhF3X5NFNL0nhXuo/W0whNvAwGCQ6AnK+oq32PKQwqF/Kdz6eQVrnLQvamtlsXVBQUHMKi3OPvtsCrOkn/zEi3sAb7QNTF3+XQBOXqxw8803+8R72rRpA9qWJdVCXFYcnm4P9jpHyGWEELTvlz56+pK0AW0nGgzhNjAwGBS6cO/evRt1nkJeVqA462WfsbBJdBRF4StXyKnntuzu5o033uDVV18lJWsuh5qKsJjh6jPlsjfffDNbt27ln//854C356ssCdNsytnkxNXqwpJqwZoz9LMb9etxq6qaDrwGzAdWapq2S1XVS4CbgS7gKk3TqoZ2Nw0MDI5X/CtLbDYbSUlJAe/rA61ikZj059rPLeeHT4LTOo/zL5gCwLL/e4B3DitcvBYm5fTcQPQJJQZK0tQkWre1SZ97RWav9zvLpKAnzUga0vptnUgibhvwf8DTAKqqWoBvAWuB24EfDdXOGRgYHP/49yzZt29fr/eHIuIGmJhtIiPJDpZ0Op3ZpKZlcrBdlpp+9fzYimd/lSWdpZ0AJM9ICvl+rOlXuDVNc2qaVu/30mxgr6ZpDk3TNgNDNGOfgYHBaMHfLglmqCJugOXzvWV3ycWcdfnvONpoYnYBrFsS2+3ow9dtYWq5bd6Ie7iEeyDlgJmA/5TK5lALqap6HXAdwA033MCGDRsGsKmxjdPppLq6eqR3Y1gYT8caCWPtfOjR9Icffsipp54a8J5+nImJiTE/5hl5qUAKJ511A7WsBuCytW3U1HTGdDu2FCnMzftaQh5Dw245YtKeaY/6GPv6LuTn54d8fSDC3QL4p03doRbSNO0h4CHvf/uejG6cUl1dHfbCjDXG07FGwlg7H6tWreK+++6jsrKy13HpVSUlJSUxP+bViwUPviToSjqNrbsh3go3fTad7PSMmG7HfqKdMg7jKHUwefLkXj52eY0cbVSgFpCZH922B/JdGIhwHwSKVFW1AiqwcwDrMDAwGEP0ZZUMlccNsHiW/FvzWuuXroPs9NgnB60TrFhzrDgaHHRXd5NY0DOYSQiBbZg97oiEW1XVl4ESYC7wIPAb4G2gG7hqaHbNwMBgtBCusqSzs5PW1lasVis5OTkx3+68KWAxg8v73P/V84amokNRFFLnp9C4qYm23e0Bwu2od+DqcGNJl/Xew0FEwq1p2tkhXn4yxvtiYGAwSvHvWbJv3z5f+Z3u3RYUFIScxX2wxFsV5k0R7CqH4pmwamHMN+EjdX4qjZuaaN/TQd4ZPS0bOv0Sk8NRCgjGABwDA4MYEcouqayMXY+ScOhi/fULlSEVztT5csh8+572gNd9FSUzYzMJcyQYTaYMDAxigt6zxF+4q6rk2LyhKAXU+fl1CueuhnNWD9kmAEidL+erbN8dKNz+g2+GCyPiNjAwiAl6xL1p0yZcLhcwPBF3drrCuWuGNtoGSJ2bAiboPGTDbff4Xu8s8yYmpxvCbWBgMMo4+eSTSU1N5YMPPuDKK6/E5XINS8Q9XJiTzCRPT0K4BZ0HOnyvD/fgGzCsEgMDgxiRl5fHK6+8whlnnMETTzwBQHOz7OA3lBH3cJK6IJXOUhvtezpIW5SGEKLHKplpRNwGBgajkFWrVvHKK6+QmprKE088wSuvvAKMjYgbpHADtHkTlPY6B+5ON3GZcVgzh74roI4h3AYGBjHFX7x1xkzEXeRNUHqF21Y2vANvdAzhNjAwiDn+4j1p0qQhGXwzEqR5I+723dLjHomKEjA8bgMDgyFi1apVlJaWUltbOySDb0aCxCmJmJPN2OvsOBoddJbqNdxGxG1gYDBGyM3NJSsra6R3I2YoJiXALvGVAs4YvsE3YAi3gYGBQVT0jKDs8JUCDrdVYgi3gYGBQRToIyjbdrXTWT78NdxgCLeBgYFBVOgJyoa3GvB0ebBmxxGXPjxdAXUM4TYwMDCIAt0q6a6xA5A0zP42GMJtYGBgEBVxGXEkTE7w/X+4bRIwhNvAwMAganSfGwzhNjAwMBgV6HYJDG+PEh1DuA0MDAyiJDDiNjxuAwMDg+MevdkUjIxVYgx5NzAwMIiSlNnJpMxJJi7biiV1+GXUEG4DAwODKDHFmThp85oR274h3AYGBgYDQDENz4zuoTA8bgMDA4NRhiHcBgYGBqMMQ7gNDAwMRhmGcBsYGBiMMgzhNjAwMBhlGMJtYGBgMMowhNvAwMBglKEIIUZ6HwwMDAwMosCIuA0MDAxGGYZwGxgYGIwyDOE2MDAwGGUYwm1gYGAwyjCE28DAwGCUYQi3gYGBwSjDEG4DAwODUYYh3AYxR1XVkWtUbDCiGNd+eDCEewhRVXWm37/H9BdaVdUiVVXvUVU1TdO0cT+qy7j2BjpD8V0whHsIUFVVUVX1B8BBVVXv8L48Jn+8qqqaVVW9HXgUeF3TtLaR3qeRxLj2BjpD+V0whHtoiAO2AIuB01RVnaxpmkdV1bF4vicCicADgFlV1StUVZ0/wvs0khjX3kBnyL4LY/HLNCKoqnqmqqr/UFX1esCqadqrmqZ9CvwP+LF3sTHxGKmq6hmqqt4KoGlaNfAu8BngOmAC8AtVVZeN4C4OK8a1H7/XPpjh+i4Ywh0DVFVNAK4C/omMQn6qe1mapv0MKFJVdZmmaUJV1VE9QbOqquciv4CnqKp6hffl94EfaJp2gaZp9wKvA+u9y49Jm0DHuPbj99oHM5zfBUO4Y8NsoEvTtI3AXUAacKbfF/dHyIv4NaBkZHYxZmjIH+bNwLmqqqZrmtYC7PI73s3AHIBxkKwyrv34vfbBDNt3wRDuAeIfTXgfhSapqnqupmlO4D/AxX5fXAtwMrAQ2DPsOztIgo61RtO0TqAceSxf874lAIuqqlcCf0T+gMcsfpHUmL72EHCsxrUPYqR0wBDuKFBVdaWqqmeCjCa8WeN479v3AN/0vvcCkKeq6jrve8nAak3TvqZpmm2493sghDlWs/6+94v5BLBAVdVsTdM8wDRgCfAVTdP+OhL7PVR4z8cfVFU92RtpClVVk7xvj8VrH3yscfr74+3aB3M86IAxkUKEqKr6FeTjz7+BRzVN+9DvvcmADfglsB/4G/BT4Neaph0c/r0dHP0c60QgVT8uVVW/C9wIbNQ07Usjsb9DjbeUay3wDJAJCE3T7vK+N9aufV/HOu6uvY6qqopXpL+CvL5PMoI6YETckfMKcCLwNqCqqpqC/MfpwEeAikzcuJF1rbWj8Yfrpa9j/QCvP6eq6nKk5/nAGP/hvgJ8RtO03yPPSSvICgvG5rUPd6zj8drr5Hr/fhk4iRHWgVGd5R5KVFW9FrgQuF7TtEpN0w57X88CZgGnAC8BnwDLNE075v3ob1RV/ZOmad0jsNsDIspjXeF3rEeBS70JqjGD3/n4qqZpVcDHXjsAYAYw1fvvrYydax/JsY75ax+MqqprkUnFClVVnwHe1jStUlXVbEZQB4yIOwSqqqYDG5AF9GtVVbX6vf0J8ks7Q1XVRKBV07RjqqrG+SVxRtMPdyDHagVZxzvWfrhB52OdqqrWoEETU4CN3n87x9C1j/RYx+y1D8NFwK+8f5YAX/a+vpUR1AFDuIPwelmtmqZ9DvgKcCryzgqApml25ONSNjJr/ENVVU2apjlHW/nTII7VMSI7PMT0dz68dAG5qhzq/XXvZ8bctfcS6ljH5LUPxq9a5AiQrGnaHmRCdpmqqgs0TetC2kojogOGcAOqqiZ7/9YTEPod8zCwGzhf97K8LAHORw5n/X9+j5bHPePpWCMh0vPhjUTjgS8BtwLdwC9Hk2CPp2MdKHrllPf8mIB6IN1bPXMIOVL0RO/ixcB5jMBvY1xXlXgTCl9GPvL8AqgJ/nKqqpoH3An8CdkgphQ5KsqmySG/o4LxdKyRMIDzYQbKkH7wu94f8ahgPB3rQFBV9bPAOZqmXen9vwKYNE1zq6q6ALgA2KZp2suqqn4OMGua9riqqsVAg6ZpR4d7n8d7cvLzwMNIL+8rwKvAZlVV5yAz5v/WNK1OVdUjwPPAJuC7o7RiYDwdayREez7eAW4bpTXK4+lYo0JV1UXAZcBsVVW/qGnaIwBe0Z4FrAQOA6eqqloAnA686V1m58js9TiLuFU5YGIO0rdqQdYq3wN0Ap9F+lUHkBdyo/eumgg8BbyoadqfRmK/B8J4OtZIGE/nYzwd60DwOz+HNE3r8L6Wj6xdX6tpWreqqkuAHwBPapr2lKqqM4BrgLLj4YY2bjxuVVVLkFUSVwOPIZ82MpAlTg5gO/J81ALXapr2OIA3CXHBaPoyj6djjYTxdD7G07EOhKDz85QqG0PpnQ7fB37iXXQv8HlN057yvl8G3H48iDaMI+FGPibeoWnaN5EX5QvIrPAXVVVN1mSfgTnAJE3THKqqWvySN66R2ukBMp6ONRLG0/kYT8c6EPzPz07gm2pP64KfAKtVVc1B9hkHAnq1HDf2xJj1uFVVnYrMiL8IfAykIxu8PAncDfwaeaE+RV68d4F4vDNUjKYv8Xg61kgYT+djPB3rQOjn/NwD3AsUAVs1TWtRVfUN4CDSNvkO4DieBFtnTEbcqmyIcztQBeQDf9A07VFguqqqqzVNqwc+BG7WNO3/IbuZfQXYqWnaiyO13wNhPB1rJIyn8zGejnUgRHB+GpDn5Cbv8lOApcBPNU37knYcDzAaU8lJVVUvAnKQzdwf1jTtVO/r/0A+LlYCt2qado739b8BN2ma1qaqqmU0RR/j6VgjYTydj/F0rANhAOfnr8ANgAOweP3+45oxIdyqquYCfwU6kEmXPciRYK9omvZX7+PSE8i+Ag8AFfSU9fz4eHwUCsd4OtZIGE/nYzwd60AYxPl5C7hzNJ2fseJxC+BBTdNe8CYWfoj0qFaqqjpb07SDqqq+CZyJfCyaiXxcfH7kdnnAjKdjjYTxdD7G07EOhHFzfsaKcDciBxWgaVqDKvsGtyOTDN8GvgqkImswu4Bd3j+jkfF0rJEwns7HeDrWgTBuzs+YsEp0vGU76cC/NE07y/vag8jSHitwnaZpbSO4izFjPB1rJIyn8zGejnUgjIfzM1Yibn8swHuqqi5DPhI9AhzQNK15ZHdrSBhPxxoJ4+l8jKdjHQhj+vyMqYgbQFXVs5D9Ft4AHveW/4xJxtOxRsJ4Oh/j6VgHwlg/P2Mx4m4Cvg/8Vhv7vYPH07FGwng6H+PpWAfCmD4/Y1G4P9Y07aOR3olhYjwdaySMp/Mxno51IIzp8zPmrBIDAwODsc6YHPJuYGBgMJYxhNvAwMBglGEIt4GBgcEowxBuAwMDg1GGIdwGBgYGowxDuA0MDAxGGf8fMpeUZvmDzXYAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 5.879989074475679\n",
"Backtest RMSE = 10.751164795967203\n"
]
}
],
"source": [
"zoomed_target_series.plot(label='target')\n",
"exp_backtest_fh1.plot(label='1 day forecast horizon')\n",
"exp_backtest_fh_max.plot(label='{} days forecast horizon'.format(max_forecast_horizon) )\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()\n",
"\n",
"print('Backtest RMSE = {}'.format(rmse(target_series, exp_backtest_fh1)))\n",
"print('Backtest RMSE = {}'.format(rmse(target_series, exp_backtest_fh_max)))"
]
},
{
"cell_type": "markdown",
"id": "0a6fcf6e",
"metadata": {},
"source": [
"### Baseline model"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "7a26f038",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "44503c45f4f441b4a6dad2f0e6bfd59b",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 7.987695455419203\n"
]
}
],
"source": [
"forecast_horizon = 1\n",
"\n",
"model = NaiveSeasonal(1)\n",
"basline_backtest = model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=forecast_horizon)), \n",
" forecast_horizon=forecast_horizon, \n",
" verbose=True)\n",
"\n",
"zoomed_target_series.plot(label='target')\n",
"basline_backtest.plot(label='backtest')\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()\n",
"\n",
"print('Backtest RMSE = {}'.format(rmse(target_series, basline_backtest)))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "3e6adf65",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"zoomed_target_series.plot(label='target')\n",
"exp_backtest_fh1.plot(label='1 day forecast horizon')\n",
"exp_backtest_fh_max.plot(label='{} days forecast horizon'.format(max_forecast_horizon))\n",
"basline_backtest.plot(label='baseline')\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "23aec25b",
"metadata": {},
"outputs": [],
"source": [
"rmses_by_model = {}"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "43b9e778",
"metadata": {},
"outputs": [],
"source": [
"for model, model_name in zip([NaiveSeasonal(1), ExponentialSmoothing()], ['Baseline', 'Exponential Smoothing']):\n",
" print(model_name)\n",
" rmses= []\n",
" for i in range(1, max_forecast_horizon + 1):\n",
" backtest = model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=i)), \n",
" forecast_horizon=i, \n",
" verbose=False)\n",
" rmses.append(rmse(target_series, backtest))\n",
" print('Backtest RMSE = {}'.format(rmses[-1]))\n",
" rmses_by_model[model_name] = rmses\n",
"clear_output()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "61d5efe5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for model_name in ['Baseline', 'Exponential Smoothing']:\n",
" plt.plot(np.array(range(1, max_forecast_horizon + 1)), np.array(rmses_by_model[model_name]), label=model_name)\n",
"plt.legend()\n",
"ax = plt.gca()\n",
"ax.axes.set_xlabel('forecast horizon')\n",
"ax.axes.set_ylabel('RMSE')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ab2f0841",
"metadata": {},
"source": [
"# Generate advanced time series"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "391bec9d",
"metadata": {},
"outputs": [],
"source": [
"advanced_diff_scale = 5\n",
"advanced_diffs = np.random.exponential(advanced_diff_scale, size=len(ride_start_dates))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "3eaf75f2",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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x90v68xjyklSYIS9JhRnyklSYIS9JhRnyklTYwHycJCJuBdYBvwCuzMyJ+Tiv6lnIT9hMTk4u2Lml2TruM/mI+BtgMDM3AP8D/MPxPqckqW0+lmvWAQ81t78LnDsP55T6br6+C+B3A9RP87FcswbY3dzeB6zt3BkRW4AtzeY/Zua22Z7ove99b/k/qavXB9ZYweDg4EIP4bhaSvXNR8jvBVY1t1cDezp3NqE+62CXJM1sPpZrdgKbmtvvBnbMwzklScxDyGfmj4D/jYjHgL8Gvnm8zylJaltWfW1Qkv4/88tQklSYIS9JhRnyklTYvPyswfFW9WcTImI18DBwBvDOzPxJRFwCXAscADZn5q6FHONcRMRZwOeACaAFfAi4mCL1AUTE64D7add4GPggMATcBhwBrsnMHy/cCPsnIi4DPp+Zr630PAWIiDcBjwNPNk2XABtZAjUu+Zl88Z9N+D1wEfANgIgYAK6j/eS6Edi6YCPrj+eACzLzPNov0CPUqg/geWB9Zp4P3A1cBXyG9uP6AeDWBRxb30TEctrB91zB5+mU72fmxszcCLzAEqlxyYc8hX82ITMnMvO3HU2nAk9n5qHM3AG8bYGG1heZuTszDzSbh4C3UKg+gMw8nJlHms0TgJ8BhzPzhcx8lmnfAF/CLgO+Tvuvk1LP0w7nRsRjEXELS6jGCiG/Btjf3P6Tn00oprNWgOULNZB+iog3Au8C/oOa9Z0ZEf8JjNL+cmBnjS9HxIqFGVl/NLP4S4H7mqaKz9PdwJuB84CTgfexRGqssCa/l2P8bEIxe/ljrdBe413SImIVcA9wBe3/KKXqgz98IfDsiLgUuIGjaxzIzEMLMrD+uRz4WmYeiQgo+DzNzJeAlwAi4lu0n68vdnRZtDVWCPmdtNfG7qb+zyY8A5zezPwCeGKBxzMnzdrtV4FPZeZPI+LVFKoPICJWdIT4PtrBMBARJ9JevqkwKTkDeHtEXE57GeNj1HscT8jM3zWbG4BvA/+0FGpc8iGfmT+KiKmfTXgWuH2hx9RPEbEdOJP2evWXgM8CjwIHgc0LNa4+uQw4G9gaEVuBO6hVH8CZEXE77ZneQeBK2kG4HZgEPrKAY+uLzLx+6nZEZGZeExHvp9bjuD4iPk37wxA/p/1G60GWQI3+rIEkFVbhjVdJ0gwMeUkqzJCXpMIMeUkqzJCXpMIMeUkqzJCXpML+D2v/33BpGd+iAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.hist(advanced_diffs)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "af0c7d36",
"metadata": {},
"outputs": [],
"source": [
"def get_advanced_series(forecast_horizon):\n",
" advanced_start_dates = ride_start_dates[np.where(advanced_diffs >= forecast_horizon + 1)]\n",
" time_counts = dict(zip(times, np.zeros(times.shape)))\n",
" uniuqe, counts = np.unique(advanced_start_dates, return_counts=True)\n",
" for time, value in zip(uniuqe, counts):\n",
" time_counts[time] = value\n",
" advanced_series_df = pd.DataFrame(data=time_counts.items(), columns=['time', 'count'])\n",
" advanced_series = TimeSeries.from_dataframe(advanced_series_df, freq='D', time_col='time', value_cols='count')\n",
" return advanced_series"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "5572683c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"zoomed_target_series.plot(label='target')\n",
"get_advanced_series(1).slice_intersect(zoomed_target_series).plot(label='1 day advanced')\n",
"get_advanced_series(max_forecast_horizon).slice_intersect(zoomed_target_series).plot(label='{} days advanced'.format(max_forecast_horizon))\n",
"\n",
"ax = plt.gca()\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "36601bf1",
"metadata": {},
"source": [
"# Advanced prediction"
]
},
{
"cell_type": "markdown",
"id": "400db19e",
"metadata": {},
"source": [
"### Predict with advanced"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "80b5f62d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([-14, -13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1],\n",
" [-14, -13, -12, -11, -10])"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"max_lags = 14\n",
"def get_lags(forecast_horizon):\n",
" return list(range(-max_lags, -forecast_horizon + 1))\n",
"get_lags(1), get_lags(max_forecast_horizon),"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "f2ed301b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"([0], [-9, -8, -7, -6, -5, -4, -3, -2, -1, 0])"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def get_lags_future_covariates(forecast_horizon):\n",
" return list(range(1 - forecast_horizon, 1)) \n",
"get_lags_future_covariates(1), get_lags_future_covariates(max_forecast_horizon)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "8a69cefe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Linear Regression with advanced\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "dafd02450ffb4993a6d4e591fe9a66fd",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 6.914695433467083\n",
"LightGBM with advanced\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "564043dc938c443394faa079dd0ec984",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 7.920441705648907\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"forecast_horizon = max_forecast_horizon\n",
"\n",
"lags =get_lags(forecast_horizon)\n",
"lags_future_covariates = get_lags_future_covariates(forecast_horizon)\n",
"\n",
"advanced_series = get_advanced_series(forecast_horizon)\n",
"\n",
"zoomed_target_series.plot(label='target')\n",
"\n",
"exp_backtest_fh_max.plot(label='Exponential Smoothing' )\n",
"\n",
"for model_cls, model_name in zip([RegressionModel, LightGBMModel], ['Linear Regression with advanced', 'LightGBM with advanced']):\n",
" print(model_name)\n",
" \n",
" model = model_cls(lags=lags, lags_future_covariates=lags_future_covariates)\n",
" backtest = model.historical_forecasts(series=target_series, \n",
" future_covariates=advanced_series,\n",
" start=split_ts - Timedelta(timedelta(days=1)),\n",
" forecast_horizon=1,\n",
" verbose=True)\n",
" backtest.plot(label=model_name)\n",
" print('Backtest RMSE = {}'.format(rmse(target_series, backtest)))\n",
" \n",
"ax = plt.gca()\n",
"ax.axes.set_xlabel('day')\n",
"ax.axes.set_ylabel('count')\n",
"ax.set_xticks([])\n",
"ax.set_yticks([])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "fb6fb4ac",
"metadata": {},
"source": [
"### Predict with no advanced"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "e143ed62",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e8fa2cb83282491fa0dc21c1a3a5fb5d",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 9.851817606777376\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a65ef1ad385d49188832c74c182540aa",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
" 0%| | 0/61 [00:00<?, ?it/s]"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Backtest RMSE = 11.103304755267452\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"forecast_horizon = max_forecast_horizon\n",
"\n",
"lags = get_lags(forecast_horizon)\n",
"\n",
"zoomed_target_series.plot(label='target')\n",
" \n",
"exp_backtest_fh_max.plot(label='{} days forecast horizon' .format(max_forecast_horizon))\n",
"\n",
"models = [RegressionModel(lags=lags), LightGBMModel(lags=lags), ]\n",
"for model, model_name in zip(models, ['Linear Regression', 'LightGBM']):\n",
" backtest = model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=1)), \n",
" forecast_horizon=1, verbose=True)\n",
"\n",
" backtest.plot(label=model_name)\n",
" print('Backtest RMSE = {}'.format(rmse(target_series, backtest)))\n",
" \n",
"ax = plt.gca()\n",
"plt.gca().axes.set_xlabel('')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "f6996c3a",
"metadata": {},
"source": [
"### Backtest"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "a72ca1aa",
"metadata": {},
"outputs": [],
"source": [
"models = [RegressionModel(lags=lags), LightGBMModel(lags=lags)]\n",
"\n",
"for model_cls, model_name in zip([RegressionModel, LightGBMModel], ['Linear Regression', 'LightGBM']):\n",
" print(model_name)\n",
" \n",
" rmses = []\n",
" for forecast_horizon in range(1, max_forecast_horizon + 1):\n",
" print('forecast_horizon', forecast_horizon)\n",
" lags = get_lags(forecast_horizon)\n",
"\n",
" model = model_cls(lags=lags)\n",
"\n",
" backtest = model.historical_forecasts(\n",
" series=target_series, \n",
" start=split_ts - Timedelta(timedelta(days=1)), \n",
" forecast_horizon=1, verbose=False)\n",
" \n",
" rmses.append(rmse(target_series, backtest))\n",
" print('Backtest RMSE = {}'.format(rmses[-1]))\n",
" \n",
" rmses_by_model[model_name] = rmses\n",
"clear_output()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "4ec75583",
"metadata": {},
"outputs": [],
"source": [
"for model_cls, model_name in zip([RegressionModel, LightGBMModel], ['Linear Regression with advanced', 'LightGBM with advanced']):\n",
" print(model_name)\n",
" \n",
" rmses = []\n",
" for forecast_horizon in range(1, max_forecast_horizon + 1):\n",
" print('forecast_horizon', forecast_horizon)\n",
" advanced_series = get_advanced_series(forecast_horizon)\n",
"\n",
" lags =get_lags(forecast_horizon)\n",
" lags_future_covariates = get_lags_future_covariates(forecast_horizon)\n",
"\n",
" model = model_cls(lags=lags, lags_future_covariates=lags_future_covariates)\n",
" \n",
" backtest = model.historical_forecasts(series=target_series, \n",
" future_covariates=advanced_series,\n",
" forecast_horizon=1,\n",
" start=split_ts - Timedelta(timedelta(days=1)))\n",
" rmses.append(rmse(target_series, backtest))\n",
"\n",
" print('Backtest RMSE = {}'.format(rmses[-1]))\n",
" rmses_by_model[model_name] = rmses\n",
"clear_output()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "a9cdce9b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for model_name in ['Baseline', 'Exponential Smoothing', 'Linear Regression', 'Linear Regression with advanced']:\n",
" plt.plot(np.array(range(1, max_forecast_horizon + 1)), np.array(rmses_by_model[model_name]), label=model_name)\n",
"plt.legend()\n",
"ax = plt.gca()\n",
"ax.axes.set_xlabel('forecast horizon')\n",
"ax.axes.set_ylabel('RMSE')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "15e68296",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for model_name in ['Baseline', 'Exponential Smoothing', 'Linear Regression', 'LightGBM', 'Linear Regression with advanced', 'LightGBM with advanced']:\n",
" plt.plot(np.array(range(1, max_forecast_horizon + 1)), np.array(rmses_by_model[model_name]), label=model_name)\n",
"plt.legend()\n",
"ax = plt.gca()\n",
"ax.axes.set_xlabel('forecast horizon')\n",
"ax.axes.set_ylabel('RMSE')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "eb76379f",
"metadata": {},
"source": [
"### Predict with weekday"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "177c6f6a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"weekday_series = datetime_attribute_timeseries(target_series, attribute='weekday', cyclic=True)\n",
"\n",
"weekday_series[:20].plot()\n",
"ax = plt.gca()\n",
"ax.axes.xaxis.set_visible(False)\n",
"ax.axes.yaxis.set_visible(False)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "0b171c58",
"metadata": {},
"outputs": [],
"source": [
"for model_cls, model_name in zip([RegressionModel, LightGBMModel], ['Linear Regression with weekday', 'LightGBM with weekday']):\n",
" print(model_name)\n",
" \n",
" rmses = []\n",
" for forecast_horizon in range(1, max_forecast_horizon + 1):\n",
" print('forecast_horizon', forecast_horizon)\n",
" advanced_series = get_advanced_series(forecast_horizon)\n",
" advanced_series_with_weekday = advanced_series.stack(weekday_series)\n",
"\n",
" lags =get_lags(forecast_horizon)\n",
" lags_future_covariates = get_lags_future_covariates(forecast_horizon)\n",
"\n",
" model = model_cls(lags=lags, lags_future_covariates=lags_future_covariates)\n",
" \n",
" backtest = model.historical_forecasts(series=target_series, \n",
" future_covariates=advanced_series_with_weekday,\n",
" forecast_horizon=1,\n",
" start=split_ts - Timedelta(timedelta(days=1)))\n",
" rmses.append(rmse(target_series, backtest))\n",
"\n",
" print('Backtest RMSE = {}'.format(rmses[-1]))\n",
" rmses_by_model[model_name] = rmses\n",
" \n",
"clear_output()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "55faca35",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for model_name in ['Linear Regression with advanced', 'LightGBM with advanced', 'Linear Regression with weekday', 'LightGBM with weekday']:\n",
" plt.plot(np.array(range(1, max_forecast_horizon + 1)), np.array(rmses_by_model[model_name]), label=model_name)\n",
"plt.legend()\n",
"ax = plt.gca()\n",
"ax.axes.set_xlabel('forecast horizon')\n",
"ax.axes.set_ylabel('RMSE')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3d3d9752",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.5"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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