{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Air Passenger benchmark\n", "\n", "Example created by Wilson Rocha Lacerda Junior" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Note\n", "\n", "The following example is **not** intended to say that one library is better than another. The main focus of these examples is to show that SysIdentPy can be a good alternative for people looking to model time series.\n", "\n", "We will compare the results obtained using the **sktime** and **neural prophet** library.\n", "\n", "From sktime, the following models will be used:\n", "\n", "- AutoARIMA\n", "\n", "- BATS\n", "\n", "- TBATS\n", "\n", "- Exponential Smoothing\n", "\n", "- Prophet\n", "\n", "- AutoETS\n", "\n", "For the sake of brevity, from **SysIdentPy** only the **MetaMSS**, **AOLS**, **FROLS** (with polynomial base function) and **NARXNN** methods will be used. See the SysIdentPy documentation to learn other ways of modeling with the library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from warnings import simplefilter\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from sysidentpy.model_structure_selection import FROLS\n", "from sysidentpy.model_structure_selection import AOLS\n", "from sysidentpy.model_structure_selection import MetaMSS\n", "from sysidentpy.basis_function import Polynomial\n", "from sysidentpy.utils.plotting import plot_results\n", "from torch import nn\n", "# from sysidentpy.metrics import mean_squared_error\n", "from sysidentpy.neural_network import NARXNN\n", "\n", "from sktime.datasets import load_airline\n", "from sktime.forecasting.ets import AutoETS\n", "from sktime.forecasting.arima import ARIMA, AutoARIMA\n", "from sktime.forecasting.base import ForecastingHorizon\n", "from sktime.forecasting.exp_smoothing import ExponentialSmoothing\n", "from sktime.forecasting.fbprophet import Prophet\n", "from sktime.forecasting.tbats import TBATS\n", "from sktime.forecasting.bats import BATS\n", "from sktime.forecasting.model_evaluation import evaluate\n", "from sktime.forecasting.model_selection import temporal_train_test_split\n", "from sktime.performance_metrics.forecasting import mean_squared_error\n", "from sktime.utils.plotting import plot_series\n", "from neuralprophet import NeuralProphet\n", "from neuralprophet import set_random_seed \n", "\n", "\n", "simplefilter(\"ignore\", FutureWarning)\n", "np.seterr(all=\"ignore\")\n", "\n", "%matplotlib inline\n", "\n", "loss = mean_squared_error" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Air passengers data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "121 23\n" ] }, { "data": { "image/png": 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w+4jWulUpFbWR4pAhQygrK6OqqirSXYkqiYmJDBkyJNLdEEIIIYQQJzljci65V7yM9a3rvM6NbV+CpnY3cHkEexp8WrtwNlpJnbCAlDHXAZoeivV28/VjsweTn0v6xDN/gtn/BQ4CW4DPlFKFQNTOmTWbzYwYMSLS3RBCCCGEEEJ4oZQBV0s9mec8iDlrPIaEtE5zY42JmRiScmiJs7mh3gpf5c55lYTsiX6nU5szvg5mk4bNDmV3Y0KPj5q74FOl1nqw1vobui139xBwflh6J4QQQgghhIg7zWWfYH1rHqbUQZhS8rsFc+bMsXGXZuyt8JV1+bU4G61+t2FMGYQyp8ryPG49BrO6bWbx97ts01prR0h7JYQQQgghhIhbLdZNmDPHYjCneL0+IWOsO804fvgsfOVs8bsNpRTmjCKpaOzmz3j2B0qpnyilhiqlMj2XkPdMCCGEEEIIEZfs1s0k5E71eb05YwyupmqcTTVh7FVo9Vb4yl9tFY0lmAX/gtnbgbuBz4AN7sv6UHZKCCGEEEIIEZ+cjVacDWVYegpmM90VjeMoaDMm55I759X2gLZr4St/mTPG4KgrxeVoCkU3Y0qvBaC01lJNSQghhBBCCBEUdusmABJyehqZ9QSzu0kcNDMs/Qo1pQyYMorIPOchTOmFGFPyOhW+8ldbESiN4/heErJPDU1nY0Svj5xSKlkp9d9Kqcfcfxcppa4IfdeEEEIIIYQQ8abFHcxacqf43MeUPhyMCXFXBKqlYj3Wt76Js+Gw18JX/ojHUeu+8ufRewpoAc50/10G/D5kPRJCCCGEEELELbt1E6aBozFYBvjcRxmMmAeOjrsiUPajqwCwDDqzlz19Mw8sAiSYBf+C2VFa6z8BrQBa6yYCWdlXCCGEEEIIIdxarJux5EzpdT9zxpi4C9iaj3yOOWs8xsS+19M1JKRiTB0sy/PgXzDbopRKAjSAUmoUYA9pr4QQQgghhBBxx9lci6PuQI+VjD3MGWNpPbEf7WwNQ89CT7ucNJevIXHQrH63FY+Bfl/0WgAK+DXwHjBUKfUCcBawIJSdEkIIIYQQQsSflqrNAD1WMvYwZ44Fl4PWE/tIyBwX4p6FXkv1NnRLHYmD+55i7JE49EISsk6hte4QypjQp0JS8cCfasYfKKU2AmfQll58j9a6OuQ9E0IIIYQQIs65XBqrzY7d4cJiMpCbYsFgiN8ZfZ7iTwk9FH/ySMj4utBRPASz9qOfA2AZdFa/2tHaRdLQc6h69yYcdaXtS/wkZE886QJaf6oZTwMKgXLgKDBMKTVKKeXPqK4QQgghhBDCC5dLs72ijpmLVjHi/hXMXLSK7RV1uFw60l0LGbt1E8a0YRiTsnvdt20JGuKmonHzkVUY04Zidq8z21fORmt7IAvgqCvFuvxanI3WYHQzpvgTuv8T+AJ4DPg/YA2wGNijlLq4pxsqpQ4qpbYppTYrpda7t2UqpT5QSpW4f2Z02P/nSqm9SqndSqlL+nxUQgghhBBCRDmrzc7cp9ZRWtsEQGltE3OfWofVFr/laVqsG3tckqcjg2UAxpSCuKhorLWm+ejnJPajinF7W86W9kDWw1FXCs6Wfrcda/wJZg8CU7XWxVrr6cBUYDtwIfAnP25/vtZ6ita62P33vcAKrXURsML9N0qp8cD1wATgUuCfSiljIAcjhBBCCCFErKhrdrQHsh6ltU3YHa4I9Si0XPY6WmtL/Cr+5BEvhY4cdQdw2o4GpfiTMiZg6jK6a0ovBGNCv9uONf4Es+O01js8f2itd9IW3O7v433OBZ5x//4McFWH7Yu11nat9QFgL3BaH+9DCCGEEEKIqPXpvmq+sjZQmJHUaXthRhIWU3zOe2yp3gr4V/zJw5wxltZju9E6tlOvm4+sBghK8Sdjci65c15tD2g9c2aNybn9bjvW+DPvdbdS6lHaUosB5tOWYmzBvfZsDzTwb6WUBv6ltX4MyNNalwNorcuVUp5HfTBt6cweZe5tnSil7gLuAhg2bJgf3RdCCCGEECKyOhZ6amxx8qv3vqIgPZHXFszgmqfbUo0LM5JYdtsMclMske5uSNjbiz8FEMxmjsVlr8XVVBXTwVrz0dUYLAMxZ03od1tKGUjInkj+dR/hOHEAgynlpCz+BP4FswuA7wE/pK2a8SrgJ7QFsuf3ctuztNZH3QHrB0qpr3rY11vZtm5fwbgD4scAiouLY/srGiGEEEIIEfc8hZ4882MLM5J4+vopnJqfxsCkBJ6/cRpaa0Znp8R1NeMW6yaMKQWYUgr8vk17EajaPTEdzNqPrMYy6MygBZxKGTCnDaXqnZvQjkYG37guKO3Gml4fTa11k9b6Ia311Vrrq7TWD2qtG7XWLq11Qy+3Per+aQVepy1tuFIpVQDg/ukpu1UGDO1w8yG0VU8WQgghhBAiZnkr9LRg8WZaXBqDQbH6wDHO+cfnJJmMcRvIQtvIbCCjstCWZgzQEsMVjZ2NVbTW7g5K8aeuUkbPpaVqC60nDgS97Vjgz9I8Z7mrDu9RSu33XPy4XYpSKs3zO3AxbYWj3gRude92K7DM/fubwPVKKYtSagRQBHwZ+CEJIYQQQggRPewOV4+FnsbkpABQUm0Le9/CxdXaSOuxXX5XMvYwpQ9DGRNjuqJxs3t92cTB/S/+1FXyqLkANO57M+htxwJ/0oyfAH4EbACcAbSdB7yulPLcz4ta6/eUUuuApUqpO4BDwHUAWusdSqmlwE7AAdyttQ7k/oQQQgghhIg6FpOBwoykTgFtx0JPY7JTAdhT1UDx0IGR6GLItVRvB+0iISewkVmlDJgzimK6onHz0c9RRguW3OlBb9s8cBTm7InY9i1jwLR7gt5+tPMnmD2htX430Ibd1Y4ne9leA8z2cZv7gfsDvS8hhBBCCCGiVW6KhcU3Tef65zd4LfQ0MisZpWBPVfyOzLZYNwKBVTL2MGeMbS8eFYvsR1aRkD8DZQpNYa+UUXM5vvYPOButMT2vuC/8mYH8sVLqz0qpmUqpaZ5LyHsmhBBCCCFEHDAYFC9vPso/rz2VA/fNZs3CWUzMT2+fH5toNlI4MIm9cZxmbLduwpCYhTFtaO87d2HOHIuj7gDaYQ9Bz0LL1WrDXrUpJPNlPdpSjTWN+98K2X1EK39GZk93/yzusE0DFwS/O0IIIYQQQsSXVqeLx74sxeZwctm4PK/7jMlJZU9Vj7VVY5LWLpyNVtIm3EbquG/RFkYEVuTKnDEGtIvWE3tJCMLSNuGitQtH/RHyr3kPY3IuWrtCsnxOQs5kTOnDse1dRtrE24PefjTrNZjVWve2/I4QQgghhBDChy8PHafB7uSiMTk+9xmdncLzG2vRWuOuORPztHbRUr0d6/JrcdSVYkovJHfOqwGviWrOHAdA67HdMRPMBuvY/aGUInnUXOq2PorLXofBkh7U9qOZP9WM85RSTyil3nX/Pd5dvEkIIYQQQoiAuFyaivpmSmsbqahvxuXSke5SyH1YUoVScP6oLJ/7jMlJoa7ZgbWhJYw9Cy1no7U9mANw1JViXX4tzkZrL7fszDywCCCmKhoH69j9lTJ6LjhbaDz4Xkjaj1b+fC3wNPA+MMj99x7ghyHqjxBCCCGEiAPeglaXS7O9oo6Zi1Yx4v4VzFy0iu0VdXEf0K4oqaZ4yEAykhN87jMmp62icUl1/KQaa2dLezDn4agrBWdgAbshIRVj6pCYqmisnfagHLu/LAUzMSTl0LhvWe87xxF/gtlsrfVSwAWgtXYQ2BI9QgghhBDiJOItaN1WUceRuibmPrWufYma0tq2v6222Cvs46/6ZgdflNYyuyi7x/08a83GU0VjZUzAlF7YaZspvRCMvoN6b7R2kXPJE6RN+g8ctgq0dgWzm0HnsFXgOL4/KMfuL2UwkjxqDo0H34vJQll95U8wa1NKZdE2Wxul1BnAiZD2SgghhBBCxCyrzd4taL3qqXU02J2d1lr1XGd3RHdw0h+f7a/B4dJcWOR7vizAsIFJmI0qroJZY3IuuXNebQ/qPPNGA1k+xjP3tPqDuyhfcjblS86mpXp7VAW0Wrtw2CporTtEy7HdVP3729R+8XtyvvFiv449UKmn3EzOxU/SWncgJoL+YPCnmvF/Am8Co5RSq4Ec4Jsh7ZUQQgghhIhZdofLa9BqMRkozEjqdF1hRhIWU/ArvEaLD0uqSDQZOHN4Ro/7mYwGRmWlsDeO0oyVMqAdzWSe8yDmzLEYLAMxJucGVADJ19zTgvkrMaXkh6rrfvNW6Cn74scxpg7GPGAkBfNXtqUWGxMCPvZA+2FISKP6/QUhLzgVTXo9Mq31RuBc4EzgO8AErfXWUHdMCCGEEELEJk/Q2lFhRhJpiUaW3Taj/brCjCSW3TaD3BRLJLoZFitKqjl7ZCaJZmOv+47JSYmrkVkA256Xsb57I6a0oZhS8gMOrII17zZUvAXb1f++E4M5FaUMmFLyMaUP69Ox97cfoSw4FS38qWZ8HZCktd4BXAUsUUpNC3XHhBBCCCFEbMpNsfDM9VO7Ba1ZSRYm5qez5ObpfPLdM1n9/bOYmJ+OwRAfS9F0VVHXzPaKemb3kmLsMTo7hb3VtrgqiNV08D0SB5+DwZzSp9sHa95tqERLsB0t/Qg3f74e+KXWul4pNQu4BHgGeDS03RJCCCGEELHq8PEmfvb2Tl65pZgD981mzcJZ7UGrwaCoamjhvEc/Z0+VLW4DWYAVe6sBuLCX4k8eY3JSaXa4KDvR1PvOMaD1xEFaa3eTPPzSPrcRjHm3oRQtwXa09CPc/AlmPZWLLwce1VovA+L7URFCCCGEEH22ZMtR1h46TmZyAoUZyeSnJXYKWs8cnoFSsPLAsQj2MvRW7KkmM9nMlEED/Np/THZ8VTRuOvg+AEnDL+lzG0oZSMieSMH8lQy+aSOZ5zyIITEjauaBGpNzybnk6YgH29Ee9IeKPwWgjiil/gVcCPxRKWXBvyBYCCGEEEKchBZvOsLpwwYyIivZ6/UZyQlMzE9jdRwHs1prPiypYvbobL9Hn4s6LM9z4Rj/UpOjWVPpe5jSR2DOGNOvdjxzT1vsx7G+dR1Zsx/FfOodQepl/+hWG8dW/5Kcy57DlDIo5IWefOkY9DvqSnG12uK++BP4F5TOA94HLtVaHwcygZ+GslNCCCGEECI2fWWtZ/PROq6fOrjH/WaNyOLz0mM4nPG5fMieKhtlJ5qZHUBQOig9kWSzkT1xUNHY5Wim6dDHJA2/BKWCk0puzhiLMXUwzYdWBKW9YLDtfQP70VWgCUuhp554gn7b7iVY37wGToKlefx5pAuAt7XWJUqp84DrgC9D2SkhhBBCCBGbFm86ilJw3aRBPe43a0QmDXYnW8vrwtSz8PqwpArwf74sgFKKMTkp7I2DNGP7kVVoRyPJ/Ugx7kopRdLQC2g6/HHUrKFq+2oxpvQRWApOj3RX2lnypqMdjbQe2xXproScP8Hsq4BTKTUaeAIYAbwY0l4JIYQQQoiYo7VmyeYjnDcyi0EDEnvcd9aITABWxWmq8YqSakZkJjMyK7AqvkXZKeypjv1gtvHg+yijhcSh5wW13aRhF+BqrqGlaktQ2+0Lp62SpsMrSBk3P2ijz8FgyZ8BgL1ifYR7Enr+BLMurbUDuAb4m9b6R7SN1gohhBBCCNFu89E6dlfZmN9LijHA0IFJFGYkxV0w63Jpyuua+dE5I3nuhqkBL7NTlJPKgWONtMZ4+nV/l+TxJXHYBW3tH/ooqO32RcOel0G7SB17faS70olp4GgMCQOwV0owC9CqlPoWcAvwlnubOXRdEkIIIYQQsWjxpiOYDIprT/Vv3GPWiExWHTiG1vGxrqrLpdleUceZD6/i3H9+zo0vbGR7RV1AAe2YnBScLs2BY40h7GlotZ44QGvt7n5VMfbFlFKAOWs8zVEQzNq+eomEnMkkZI2PdFc6UcpAQn4x9op1Pe6ntQuHrYLWukM4bBVRk7odCH+C2duAmcD9WusDSqkRwPOh7ZYQQgghhIglLpdmyeajXDI2h6wU/1ZxnDUik4p6O/tqYjdw68hqszP3qXWU1ratE1ta28Tcp9Zhtdn9bqMoDpbnCcaSPD1JGjqb5qOrcDmaQ9K+P1qP78VeuY7Ucd+KWB96YskrpqV6Gy6H9zWLtXbRUr2d8iVnU/bkaMqXnE1L9faYC2h7DWa11ju11gu11i+5/z6gtX4g9F0TQgghhBCxYk1pLYeONzF/Su8pxh6zRmQB8TNv1u5wtQeyHqW1Tdgd/gcIY3JSAdhTFbsVjRsPBmdJHl+Shl2AdjRhL/8iJO37o+GrxYAiZcy8iPWhJ5a8YtBOWqze5xY7G61Yl1+Lo64UAEddKdbl1+JstIazm/3WazCrlCpSSr2ilNqplNrvuYSjc0IIIYQQIjYs3nyERJOBuRPy/b7NKbmpZCab4yaYtZgMFGYkddpWmJGExeT/Ui1ZKQlkJptjdmTW5Wim+fAnJI24NGRFkRKHnAPKSFOElujRWmPb/RKJQ87BlDYkIn3oTXsRqErvqcba2dIeyHo46krB2RLyvgWTP6+sp4BHAQdwPvAs8FwoOyWEEEIIIWKDp+DR/CmDeO/bZ5CSYPT7tgaD4qzhmaw6UBPCHoZPboqF1xbMaA9oCzOSWHbbDHJTLAG1MyYnlb0xWNFYaxeOulLyrnqT9MnfDVnKqiEhDUvB6RGbN9ti3URrbUnUphgDmFIHYUwd7HPerDImYEov7Hyb9EIw+jdFIFqY/NgnSWu9QimltNalwG+UUiuBX4e4b0IIIYQQIop5Ch555ol6greJ+ekYDP6Nys0akcnynZVY6+3kpgUW9EUbg0FR19zKX66cwIT8NNITTeSmWPx+LDyKslP4eG91iHoZGp45mJ7UVVN6IblzXiUheyJK+T8y7a+koRdw/Ms/4GyuxZiY0ed2tHbhbLSinS0oYwLG5Fyf/fXsizKQO+cVLIPP7fP9hoMlb7rPisYOWyXZF/6L6g+/0+l8GZNzw9zL/vHnmdWs2s5oiVLq+0qpq4HYOkohhBBCCBF0wSh41L7e7MH4SDX+sKSaec9tYMiARPLTEgMOZAGKclIoO9FMY4sjBD0MjXDPwUwaNhu0i+ayT/vcRiBFkDrue/TF0zj26Y9x1pdGdcEkS94MHMf34mzu/tpq2P4EtV/cT8G8Txl6+14K5q8M2RcPoeRPb38IJAMLgenAzcCtIeyTEEIIIUTMcbk0FfXNlNY2UlHfHPD6orEoGAWPpg8ZSKLJEDfzZtcfPs6EvDSSE/xJgPRuTHZbEai91bFT5TncczAt+aehzKn9Wm82kAA8FgsmWfKLAbBXbui0XTtbsZW8gik1H1PqIEzpwzCl5MdcIAv+VTNep7VuAOqAhVrra7TWkSsdJoQQQggRZTzptjMXrWLE/SuYuWhVwOuLxqJgFDxKMBk4fVgGq/bH/rxZrTXrDx+neOjAfrVTlONZnid2KhorgymsczCV0UzikHNoPtz3IlCBBOCxWDApIXc6AC1dUo2bDn2Aq6k6quf8+sufasbFSqltwFZgm1Jqi1Jqeui7JoQQQggRG4KRbhuLclMsvHxLcb8LHs0amcmmo3U02GMnrdabg8eaqGlsZcbQAf1qp32t2RgqAmXbu4zsC//VHtCGYw5mytjryTjrD7Qe34/DVhFwyq+2n/A7AI/FgknGxIGYM8Z0KwLV8NViDImZJBVeHKGeBY8/+Q9PAt/TWq8EUErNoq3C8aRQdkwIIYQQIlb4Srf1pB7bHS4sJkOfigFFM4NBsaX8BH+5cgJTBg8gydy3Y/zGuFymDR7AkRNNDEgyx+zjtO7wcYB+j8wmm40sv/008tMtVNQ3R+zx8Lc4Ukv1do599mMGnPbfFMxf2TZa2UsxpWD0LSFzLNa35vlVcKrTsRjM1O96kaZ9r5N9yVNUv3/b121csdRrAG6wZJJ90eNUf3BnTBVMSsgrpvnQR2itUUrhammgcd+bpJ5yIyqKA3F/+RPM1nsCWQCt9SqlVH0I+ySEEEIIEVM86bYdA9q5E/I4WmfnumfX97nSbyx4fWsFB2sb2f7T8/t0e5dLk2Q28p9v7oj5x2nd4eMkGA2cmp/e5zY8Kevff31bRB8Pf6sTa+2i+qMfYEgYwIDJd2FMyg5L/5yN1vZAFr6ew1owfyWmlM5rHXs7luwL/4XBlIgl/wwK5q9EO5poqd5O/a4Xyc6d2u3+GnY+Q8POZ8i7ajkGU3LIg/VgseTPwPbVizgbjmBKG0Lj/jfRjsa4SDEG/wpAfamU+pdS6jyl1LlKqX8CnyilpimlpvV2Y6WUUSm1SSn1lvvvTKXUB0qpEvfPjA77/lwptVcptVspdUnfD0sIIYQQInySjAaemDe5U7rtn+eMbw9kIT5Tj7XWfHGoljMKM/vchtVm5+qn4yNFe/3h40wZlE5CAHOGu4qWlHV/Cx417HgG+9HVZJ79QNgCWQhsDqu3Y6n+8DukjLkWg9GEKSUf84AROI6XUL/p7zQe/Hen27taGzm+9vdgMGHOGBtTBZMseTMAsFe2pRo3fLUEY9pQLIPOjGS3gsafkdkp7p9d15U9E9DABb3c/h5gF+D5iupeYIXW+gGl1L3uv3+mlBoPXA9MAAYBHyqlxmitnX70UQghhBAiYl7YdJTnNhzmw+/MxGRUWEyGoFT6jXYl1TaONbZyRuHAPrcRL4+T06XZcOQ4t0wf2q92ouXx8BUs6lbb1ym7jiYMyTmkTvw2qeNvCWv/PHNYO/bR1xxWfwPf9Ml3U7f1/zj22U9IGrYRZWgLleo2/wOnrZzcb7yIUrGVLZCQMwkMJuwV60kcNIum0n8zYPqPYiIQ94c/1YzP7+HSYyCrlBoCXA483mHzXOAZ9+/PAFd12L5Ya23XWh8A9gKnBXg8QgghhBBh9/S6QzQ7XIzMSqYwI5n8tMSgVPqNdmsO1gIwsx8js/HyOO22NtBgdzKjn/Nlo+Xx8FXwqLW+DHvFura1WZ8ay7FPfkT6pDtpG+MKH2NyLrlzXvWr4JS/xZuUyULmOX+k9dhX1G99DABncy0n1v+ZpBHfIHHwWSE6mtAxmBJJyJ6EvXI9tpJXQDvjJsUY/Esz7o+/Af8FdPwqKU9rXQ7g/ul5xg0GDnfYr8y9rROl1F1KqfVKqfVVVVUh6bQQQgghhL+2Hq1jfdkJFswY2mnUJjfFwrLbZnRKPX6jD5V+o9ma0loGJJo4JTe1z214e5z6UhE50jzFn/obzEbL42FMziX3ilc6B4tXvIzBlETVuzd1Tj9+a17Y11tVykBC9kQK5q9k0LfWkHne3zBnnuJ1xNGYnEvu5Uv8CnyTR84hcej52Pa/haO+DEfdIbIv+j8yz/5TyI8pVCx5xdgrN9Cw60XMWRNIyD410l0Kmr6v5twLpdQVgFVrvUEpdZ4/N/GyrdtXPFrrx4DHAIqLi+N78TYhhBBCRL2n1h3CbFTcOK3zd/AGg2JifjprFs7imK2V3VUNmJSKuaJGPfmitJbTh2X065g6Pk4HjzVha3HEZPGn9WXHSbUYGduPwB46Px7W+hb21djITQ1/NWOlDDjttWSe8yDmrFMwJKRjTM51B3jRsd6qUgZMKfnYy9dgfWs++de8R9Kw7omjShloOrKKzHMeIiFnEsqU6LN4k1KKrPMfxtlQRvnL53cqfqW1KybTc5OGX0pS4UUYEjMwmFNj9ji8CeVRnAVcqZQ6CCwGLlBKPQ9UKqUKANw/PV/jlAEdJxkMAY6GsH9CCCGEEP3S4nDxwsYjzJ2QT7aXkTODQZGflkhemoXrnl3Pki3x89GmvtnB9oo6zijM6H3nXngep2U7Krjs/9bS2Bp7JVPWHz7O9MEDMQYh6PQ8HhaTgWufWc/SCD1vmg++h/XdGzGlfV3wKBrXW00afinKnIKt5FWv12vtom7DX2jY+TTmAcN7Ld5ksKRT/eF3ei1+FQu0dmFKG8yxz35CxSsXYn17Pi3V2wNekzda9RrMKqWSlVK/VEr9n/vvIveoa4+01j/XWg/RWg+nrbDTR1rrm4A3gVvdu90KLHP//iZwvVLKopQaARQBXwZ8REIIIYQQYfLWrkqqbS0smNFz0Z+slATOHJ7J27sqw9Sz0PvycC0uTVCCWY8LRmfjcGlW7q8JWpvh0OJwsfloXb/Xl+1qbG4qpxak8crW8qC266/mI6ux5BVjMCW2bwtkrmq4GExJJI/4Bra9b6Bd3b8IaT6yCqftKClj5/vVXiCVkqOdryWMYjEw98afkdmnADsw0/13GfD7ftznA8BFSqkS4CL332itdwBLgZ3Ae8DdUslYCCGEENHs6S8PMyg9kYvH5PS67+Wn5LHpSB1HTjT1um8sWFPaVvzp9GEDg9bmWcMzSDAa+GhvbAWz2yvqsDtcFA8dEPS2vzlpEKsPHuPoieagt90Tl6MJu3UjiQUzO23vOFd16O17KZi/stvas5GQUnQNrqYqmo+s7HadbfcSlCmZ5JG9jscB/heMigXxFJh748+zbpTW+k9AK4DWugnv81t90lp/orW+wv17jdZ6tta6yP3zWIf97tdaj9Jaj9VavxvIfQghhBBChNPRE82881UltxQPwWTs/SPVFePzAHh7V3yMiKwtreWU3FQykoP3AT85wcSZwzP4aG9sFfkMVvEnb745qQCt4bVt4R2dtVesB1er1wq+nrmq0bTeatLwy1Cm5G6pxtrZiq3kNZJHXoHBnOJXW9E4+txX8RSYe+PPM69FKZWEuxiTUmoUbSO1QgghhBAnrec2lOHS9Jpi7DE+L5XhGUm8vTP2U4211nxRWssZw4OXYuxxQVE2m4/WUWOLnZGjdYdPkJVsZkRmctDbPiUvjQl5abyyNbzzZu1HPwfA0mVkNloZzMkkj7iMxi6pxk2HVuBqrvE7xRiid/S5L+IpMPfGnzPya9rSfocqpV4AVtC23I4QQgghxEnH5dJU1DVz9shMPvjOGYzO8m+0RynFFRPy+bCkiqYYLHDUUUm1jZrGVmYGcb6sxwWjs9EaPt5bHfS2Q2X94eMUDx3YaWmmYLp2UgErDxyjoi58qcbN5WswZ47DmJQVtvvsr+Sia3A2VtJ8dHX7NtuepRgsA0kuvDigtqJx9Lkv4ikw96bXo9BafwBcAywAXgKKtdafhLZbQgghhBDRx+XSbK+oY+bDq5j1yGruXLqF7RV1uFz+rRZ4xSm5NLW6YipQ82bNwbb5smcMC34wO2PoQFItRlbEyGPU2OJgR2V90Is/dXTd5EHuVOOKkN1HR1q7sB/9HMugM8Nyf8GSPPwylCmJxpLXgLZ5v7Z9y0gefRXKFFvrFgdTvATm3vh7JIlALVAHjFdKnRO6LgkhhBBCRCerzc7cp9ZRWttWxKm0tom5T63DavNvBta5o7JISTCyPMZTjdeU1pKeaGJ8XlrQ2zYbDZw7MouPSmIjmN18tA6nS4dkvqzHhPw0TslN5dUwpRq3HtuFy36cxBgLZg0JqSQNvwTb3tfR2kXTgXfRLfWkjpkX6a6JEPFnaZ4/AquB+4Cfui8/CXG/hBBCCCGijt3hag9kPUprm7A7/Fuz0WIycvGYHN7eWYnW/o3mRqMvSms5fdhADEFYU9WbC4qyKam2cfh49Fd+DmXxp46unVTAp/trsNaHvnRN85G2+bKxFswCpBRdi9NWjv3o5zTsWYohOZfEoedFulsiRPwZmb0KGKu1vlxrPcd9uTLE/RJCCCFElHO5NBX1zZTWNlJR3+x3qm0ss5gMFGYkddpWmJGExeR/2t7l4/MoO9HM1vK6YHcvLOqbHWyvqOOMwsyQ3ccFo7MBwj46G+hz2uXSTB88gM/uPgulCOlr4LrJg3CFqaqxvfxzjMl5mAaMCvl9BVvyiG9gGTQLUKRPvpu8Oa9AHKXVis78ObP7AXOoOyKEEEKI2NE+d3TRKkbcv4KZi1YFNHc0VuWmWFh80/T2gLYwI4llt80gN8X/+XjfGNdWRfStGE01Xnf4OC5NSIo/eZyan052SgIfhXHebKDPac/+N7+0iXP+sTrkr4GJ+WmMyUnh1X4Gs/4E7M1HPscyaGbIClqFkjKnkHnW76h6fwEVr8ym6t2baanejtb+ZU+I2OJPMNsIbFZK/UsptchzCXXHhBBCCBG9+jt3NFYZDIpXtx7ln9ecyoH7ZrNm4Swm5qcHlG6bn57IjKEDY3a92TWlxwA4fdjAkN2HwaC4YHQ2K0qqw5aOHehzOtyvAaUUPzx7BHefOZz9NbY+ZUP4E7A7Go7iqDtA4qDu68vGAmejlar3F+CoKwXAUVeKdfm1OBtj8/UmembyY5833RchhBBCCKD/c0djlcPp4rG1hzhhd3DZKXl9bufbZwwjKzmB/TU2khOM5KZYQjb/tCcul8Zqs2N3uLCYDD32w7PvxWNymD5kIAMSQ5u4d0FRNku3HGV3VQPjcoNfaKqrQJ/TTS3OsL4GXC7NacMyuPaZ9ZTWNrVnBQTyZYqvAHzNwlnkpyUCX68vG4vzZQG0s6U9kPVw1JWCM3bWLRb+6zWY1Vo/E46OCCGEECJ2eOaOdvwwH+jc0Vi0vuwEdc0OLizK6XMbLpdm2uAB/QpKgsEzSucJbnrqRyD7Bsts97zZFSXVYQlmA3lOH2tsoaTaFtbXgNVmb3/OgPdAtDf+BOzNR9egTEkk5EwJWt/DSRkTMKUXdgpoTemFYEyIYK9EqPh8tSmllrp/blNKbe16CV8XhRBCCBFtUs0mHp83udPc0SfnT6G51RnhnoXWhyVVKAXnj87qcxu+gpJwp2gHkiYbibTykVnJDBuYFLY1eXNTLLxyS3Gn5/Tj8ybz5vaKTqnOtY0tXPyvL/jdB3t4ucv+gc6fDkQwsiEsxt4LmDUfXY0l/zSUMTZL5hiTc8md82pbAEtbIJs751WMybkR7pkIhZ5GZu9x/7wiHB0RQgghROx4f4+VBz/Zx/t3nYHFZEBr+I9XtpCSYORvV52KS+te01Zj0Yo91UwdNIDsfgQs0ZKi7asfx5tayUlOoKqxpS392GjgRLMj7H1WSnHH6UOZMmgApbWNIX8+GQyKj/ZW87e5E5k8KB2LycDja0v59ft7aGhxcMPUITQ5XOytaiDJbODns4uYNngAaxbO8itNu7+CkQ2xoew4j8+bzJ1Lt3QaYfcE4K6WBlqqtjBwxn8Fvf/hopSBhOyJFMxf2ZZabEzAmJyLkorGcclnMKu1Lnf/LPW1jxBCCCFOTst3VLKnysbIzGRMxrYPiX+8Yjw1thbO+cfqiKbPhorN7uDz0mP88OyR/WonWlK0ffWjvK4Za0MLt760qf08vvftM8LeZ5dLc8nYXOY/tyEszyenS/OXz/Zz9ohM5k4sBuC+2WNISTAyedAAZj68qr0fL99SzLTBAzAYlN8pvv2Vm2Jh2W0zuqV6+zsSXFlv55aXNnPtqfms+cEs7M7uAbi94kvQTiwxOl/WQykDppT8SHdDhEFPacb1Sqm6Dj/rOv4dzk4KIYQQIno4XZq3d1Vy+Sm57YEsQF6ahTvcIz4QfxWOVx44RqtTc+GYvs+Xha+DknClp/bUj8U3d15m6I3bZpCbmtgeyELbebz37Z28tiC8fbba7O2BrKcfoXw+fbqvhsp6O/MmD2rfZjAobpg6pH0k09OP655dH/bntcGgmJifzpqFs1j3w7NZdPVETslN9Tuwv+eN7dhanPzo3FHkpydSmJFMflpi++21dmFIGED+Nz8kIXuiLGUjYkJPI7Ohn2kvhBBCiJizpvQYNY2tXDG+88hHtKTPhsqHJVVYTAZmjcjsVzsdg5LDx5uoamhhQl5a2EevDQbF8u0VPHL1qUwsSGsfpTt8oqnbeVy2o5J/XHNq2FJqIXjPJ38rNi/dcpSUBCPfOKXz3Eq7M3qe156R4FX7jzHvuQ188t0zOWdU7/O3l22vYOmWo/zu0rGcktf9I77WLlqqt2N953ocdaXt80wTsidKeq6Iaj0+O5VSBqXU9nB1RgghhBDR780dlZiNikvGdh6h9KStdhRPFY5XlFRzZmEGSWZjv9vyBCXbyuu54okv2VZRH4QeBsbp0vzvF6W8svVop1E6X+fR0+euI3qhEujzyeXSVNQ3U1rb2L4Gqz/rqkLbkkuvbStnzvg8khM6j/VE4/P6krG5JBgNLN9Z6XMfz+Nx4FgjJoPihqmD+a/zR3vd19loxbr8WlmbVcScHl+Fui2/YItSaliY+iOEEEKIKPfWzkrOG5XFgKTO1U69pc++tiD86bOhYK23s+VoHbP7mWLc1eWn5KEUPQYlobLpyAmONbZ2S5uOpjRof/vhLWjdVlHHvhqbX1WYP95XQ7Wthes6pBj3pR/hkpZo4rxRWSzfWeH1+o6Px6g/rOD7r2/jR+eOxKi8fwEha7OKWNXrOrNAAbBDKfUlYPNs1FpfGbJeCSGEECIq7alq4CtrA989c3i36zqmz9rsTraW17G29BhTBw8If0eD7CP38jAXFmUHtd28NAunD8tg+Y4KfnnRmKC23ZsP9lQBdFszt+N5DFdKsTcd+1F6rInaplaf6djelg666ql1vHPn6X6lCC/ZfJRUi5HLxnVfviVaHo+u5kzI4wevb2e3tYGxuamdrvP2eHzzmfU+16SVtVlFrPInP+K3tC3P8/+AhzpchBBCCHGSWb6jbQRxzvg8r9d7UlFHZafwzPrD/Pr9PXGx9uyHJdUMSDQxfcjAoLc9Z3we68tOcOREU+87B9GHe6qYPCidvLTuI4zhTin2xdOPjUdO8I3H1/pMx/Y1vzbR3HuKcKvTxevbypk7IZ9EHynk0fJ4dOR5Db65o/vobKDzjWVtVhGreg1mtdaferuEo3NCCCGEiC5v7axkUkE6wzOTe9337rNGUGVrYemWo2HoWehorflwTxUXjM7GGIIg5soJbYW03gpjqrHN7mD1wdpuo7LR6rrJBZgMihc2HvF6va95rakWY7cU4RdumNYpRfjDPVXUNrV2qmIcC4ZlJDN5ULrX502g83w7rs069Pa9FMxfKcWfREzoaWmeVe6fsjSPEEIIIaixtbDq4DGu8DEq29WFRdmMy03lkVUH0Fr3foMota+mkUPHm5gdosBvfF4qIzKTwxrMfra/hhani4vGBDdtOlSyUyxcOjaXxZuPdCveBG3zWp+/YWq3ea1ZSZb2FOED983mpZum8+PlO/h4X3X7bV/eUs6ARBMXj42NwL6jOePzWH3wGNVd5gAPtJh4av6UgOb5etZmNaUPw5SSL4GsiAk9Lc0zy/1TlugRQgghBO9+ZcXp0lw5wb9gVinF3WcN5wevb2ftoeOcUZgR4h6GxoeeuaUhCvyUUsyZkMe/1pRisztIsfhT0qR/PiipxmIycPbI3pd1iRbfmjaYt3ZV8tn+Gs4b3flcHKxt5L/e2snim6aTn27pNq/VM080N9XC8aZW7liyha0/OReLycDr28u5amI+FlP/q1SH25UT8vn9hyW8s8vKLcVD27cvWn2Q17eV8/63z8BiNkTNPF8hgs3vr1yUUrlKqWGeSyg7JYQQQojo89bOSvLTLBQHMG/0lulDSbOY+MfqA6HrWIh4ljaZPnQgb91xGqP8SK3uqyvH52N3uPigpCpk99HRh3uqOHtEZlCWGQqXK8fnkZJg5IVN3VON//TxPjaU1TF0YFKP81qTzEaevn4qZSeaeHjVAfbXNPLGbafxX+eP9jriG+2mDR5AQbqlfS47tGVQ/M+KErJTEhiTmxpV83yFCLZeg1ml1JVKqRLgAPApcBB4N8T9EkIIIUSUcLk05XXN3H3WcF65tTig26YlmlgwYyhLtxyloq45RD30n7e1SH3t51na5PS/r+Tu17axo7I+ZAHP2SMzGZBo4s0d/U817u0Yy+ua2V5R321JnmiXYjFx9cR8Xt1ajt3xdVGxIyeaeHrdYRbMGMqgAd0r9XZ1emEGf79qImcUZvCNx9dy/qOf843H13pdfzbaGQyKK8bn8f4ea/tj8rsP91Bvd/DHy8dHuHdChJ4/I7O/A84A9mitRwCzgdUh7ZUQQgghooInqDvz4VWc+8/PufGFjQF/6L/7rOG0OjWPfXEohD3tnbe1SD3H0jUAtDZ0X9rE2/qkwWI2GrhsXC5v76zE2Y+Aqqdj9PAsyXNRjAWzAN+aOpjjTa28+5W1fdtDn+7HqTU/O3+03+1cc2oBdy7dErbzG0pXjs+nwe7kk3017Ku28ejnB7n9tGGMz5eZgiL++RPMtmqtawCDUsqgtf4YmBLabgkhhBAiGnhbrzLQD/1jclJZOGs404ekc/BYzyOioeTrWMpONLKtSwBYZ3cEtLRJMMyZkE+VrYUvD9X2uQ1/zteHe6rISUlgckF6v/scbheNySEnJYGX3FWNq212HltTyg1TBzMiy/808BZnYEvXRLMLirI5e0QG6RYTtU2tvHxLMb+/bGykuyVEWPhTYeC4UioV+Ax4QSllBRyh7ZYQQgghokGg61V643Jpbpo+lOueXU9pbVN7ZdWJ+elhncfn61iaHZqrugSAe6ttFGYkddq/p6VNguHSsTkYDYo3d1Yyc3hmn9qw2Z09ni+tNR+WVHPhmJyYnENpMhqYN2UQT6w9RF1zK3/77ABNDif3XuD/qCx8vXRNOM9vqFiMBn5/2Snc8MLGTq+v7GQp+CTinz+v2LlAI/Aj4D1gHzAnlJ0SQgghRHQIdL1Kb6w2e3sgC5FL6fR1LAZFtwDwdx/s4bUFMwJa2qS/MpITuOv0oZw3MqvXOb3QeW7s0RPNPP7FQbZX1Pd4vrZX1FNRb+fCothYksebG6YOZvKgdPbXNHLJ2Bw+/o8zGZuTGlAbuSmWbuvPhvr8horVZueWlzZF/PUlRCT0OjKrtba5f3UBz4S2O0IIIUT0crk0Vpsdu8N10ix1kZti4YUbp3Fjl1GfQD70B2N0NxhykhN46vop3LZ4c6djSU0wdRulq6i3M2SghTULZ4XtfLtcmpuLh/Gt5zf0OoLtmRvrSSkuzEji8XmTKalq4LUFM7jm6a+3Pzl/CrWNLeSnJfLv3bE7X9bjtKED+Z9vnMLVHY4x0JF+g0G1rz8b66/naHl9CREJIVvITCmVSFtqssV9P69orX+tlMoElgDDaauMPE9rXeu+zc+BOwAnsFBr/X6o+ieEEEIEwlvwEIlU2XBTCv788V6emj+FEVnJffrQHy0pnevKTvDzt3ex7LbTGJBkaj8WgGW3zeh2brOSwhvcWG329kAWvh5hW7NwVvs6qR337To39s6lW1izcBa5KV8H4VrDj5Ztp87u4H+vncTZIzN5587TGZTee9XfaFXV2MJtSzb79Tj1xGBQAe0fraLl9SVEJIRyVW47cIHWukEpZQZWKaXeBa4BVmitH1BK3QvcC/xMKTUeuB6YAAwCPlRKjdFaO33dgRBCCBEuvgrrBPoBOtasP3yCZTsqmTuxgPNG9y011ZPS2TFYfCMCKZ3PrD/M1vI6hmcmkZ5o7nRdNIzSBTLC1tO+XYO0f147id1VDVz82Bdx8UWMjER25u31Fasp00IEymcwq5RaobWerZT6o9b6Z4E2rLXWQIP7T7P7ommbg3uee/szwCfAz9zbF2ut7cABpdRe4DRgTaD3LYQQQgTbyfoB+uWtRzEZFHMn5PW5jY4pncebWtlV2UC1zR7WQKq51cmSzUe55tSCboGsp4+R/lIikBG2QPZVivbUaoj9L2JkJLKzeEqZFiJQPb3qC5RS5wJXKqWmKqWmdbz407hSyqiU2gxYgQ+01muBPK11OYD7Z65798HA4Q43L3Nv69rmXUqp9Uqp9VVVVf50QwghhOg3X8WDTAbVaX3SSCw5Eypaa17dWs6FRdlkJCf0qy1PsFiUncrCN7bz0Cf7g9RL/yzfWcnxplZuKR4a1vsNRCBFibKT2ub/+rNvvH0RE0/Fm4LF8/oqzEgmPy1RAllx0ugpzfhXtKUADwH+0uU6DVzQW+PuFOEpSqmBwOtKqYk97O7tVdftE4HW+jHgMYDi4uL4+cQghBAiqtlbnTw+bzJ3Lt3Snsq35OZp7Ktp5FZ3JdFYT9/sauORExw41sh9FxYFrU2jQXHbjKHcv6KEQ7WNDMvwf23Q/nhm3WEGD0jkgj6mSodDxxG2yno7+2sayUgye30ufbSvml+/v5s3bz+N9ERTj6Nx8TaSKSORQggPn+9iWutXtNaXAX/SWp/f5dJrINulreO0pRNfClQqpQoA3D+t7t3KgI5flw4BjgZyP0IIIUSoPLrmEL967ys+/d6ZHLhvNmsWzqIgPbE9kIX4WxLj5S3lmAyKqybmB7Xd208bBsBT6w73smdwVNQ18/6eKm6aPgRjlAc8nhG2nBQL85/bwF9XHvC63yOrDnLgWCNjclJ6HY2Lx5FMGYkUQoAf68xqrX+nlLpSKfWg+3KFPw0rpXLcI7IopZKAC4GvgDeBW9273Qosc//+JnC9UsqilBoBFAFfBnQ0QgghRAi0Ol08s/4wOakWhmUkt3+Adunu65PGcvpmR20pxke5YHQ2mf1MMe5qeGYyFxXl8OSXh3AGIS2743qr3lK9X9h4BKdLc2vxkH7fV7gMGpDItZMKeOrLQ9jsjk7X7a+x8fZXlXz7jEIsJmOvbXUcyfR8ERMv2QNCiJNbr8GsUup/gHuAne7LPe5tvSkAPlZKbQXW0TZn9i3gAeAipVQJcJH7b7TWO4Cl7vt4D7hbKhkLIYSIBm/vqqSy3s4d7hFFD1/zaGM1fbOjzUfr2FfTyDcnF4Sk/TtOH8bh4818sKd/9S88SybNXLSKEfevYOaiVWyvqGsPaLXWPLvhMKcPG8i43LRgdD1svn/WCE40O3h+Y1mn7f/8/CAGpfiPmYV+tyUjmUKIeOTPf9vLgYu01k9qrZ+kLVX48t5upLXeqrWeqrWepLWeqLX+f+7tNVrr2VrrIvfPYx1uc7/WepTWeqzW+t2+HpQQQggRTE+sPURBuoXLxuV22u4tffPVW4tjOn3T4+UtRzGGIMXY48oJeWSnJPDE2kP9asfXkkmeVO/NR+vYVl4f1YWffDlzeAZTBqXzyKqDtC0SATa7gye/PMw1E/MZPCCplxaEECK++bvO7EDAE3QOCE1XhBBCiOhTdryJd7+y8rMLRmMydv4OuGP6ZlOrk23l9by9s5JpQwZGprNBorXmla3lnD8qi+wQBeYWk5Gbpw/h4VUHsNbbyU3r/X5cLo3VZsfucJFgNLDb2kBygtFrqrcn9Rjg9QUzOHdkZkiOI5SUUnx/1gjuXLqFT/bVcP7obF7YdITjTa18f9aISHdPCCEizp+R2f8BNimlnlZKPQNsAP4Q2m4JIYQQ0eGpdYdxabqlGHt40jdHZKbw791V3L9iL5X1sV0Aamt5HXurbXxz8qCQ3s+dpw9j+pABlJ1o6nVpo67pxGc+vAqn1jS2OLules+dkMfROjszF61i+l8/44fLtnPoeFNMLpv0ramDyUo284/VB9Ba84/VB5g8KJ1ZI2IvOBdCiGDzpwDUS8AZwGvuy0yt9eJQd0wIIUR06q3YTjxxuTRPfnmI2UXZjMxK6XX/hWePoMXp4n/XHAx950Lola3lGBRcNSE0KcYeY3NS+ePl47n2mfVe57t25C2d+M6lWxifn9ot1fvPc8Zz3bPr46LKdJLZyG8uHstN04awq7KB31w8lt9cPAalZM6rEEL4lWastS6nrdqwEEKIk5hndMwTVMTbuqpdrdhbTWltE//zjVP82n9MTiqXn5LLo58f5N4LRvtVaTZSOqbsetbpBLA22LlsXC7nj8omOyW4VYy7strs3Lq4+9JGaxbOIj8tsdO+dofLazpxU6ur25qjvvaNxSrTLpfmzBGZXPP016+5N26bgcul4/I1J4QQgYj9cotCCCHCprdiO/HmibWHyEw2B1QE6Z6zR2JtaGHxpuhYKt3bSLq3CsAl1Q1sLa9j5sOrmPXIau5YutnnKGmwBBJ09lQ5umul3niqMm212dsDWWh7fK6K49ecEEIEIvbe1YUQQoRF1yCo9JiNsuPNcTPi1ROXS3P4eBPfO3M4b91xGglG//9dzi7KZkJeGn9fub+9Am2keAta1x0+ztbyum5fSuyraeTqp8P7RUUgQWd2UgJPzZ/SKZ142W0zvFaO9lZl2te+0S6eRpmFECLYekwzVkoZgK1a64lh6o8QQogo4C2d+PF5k4G2wKDjh+tYHfHypb+p1Eop7jlnBHe9vJXP9tdw7qjsMPTaO28j6dc/v4F37jy9W4CUkmAKe9DkCTq7Ptbegs5VB4/x83d2sfyO00izmNpTo72dk45VpjumUcdiWq4n4I/n15wQQvRVj++EWmsXsEUp5b2EoxBCiLjks9hOXlq3Ea/XF8TmiJcvwUilvnHaEC4qygZURAtl+RrVS04wdhsRtbU4wp6a2zHo/PwHs3j02lOZkJfmNeh8bmMZOysbGJmZ3J5O3FNw2jX1OBYDWYivUWYhhAg2fwpAFQA7lFJfAjbPRq31lSHrlRBCiIjyFQS1OL8uttNgd7CtvJ6t5XVMGRw/S5AHI63TYjTwm0vGcsMLGyNaKMvXqF5ygqHbiOjorGTeuG0GV/kxShpMnqDzva+quH3JZj7+7sxuo9lNrU5e3VrOtacWkJzgV+3KuBFPo8xCCBFs/vxH+G3IeyGEECKqWIy+Uxs9wQdp8O2lWzlY28iN04ZgjJMP1z0du7+sNnt7IAs9V+kNpVaHi8fnTebOpVs6BahZSRaykizdAiQgYkHTvMkF/GjZdh774lC3YHb5jkrqmh3cOH1wWPoSbdpfc0IIITrxZ53ZT4GDgNn9+zpgY4j7JYQQIoLWlNby+LzJvaY2fn/WcEprm3hrZ2UkuhkSO631fh17T6KlaM9Dn+3n1+9/xaffO5MD981mzcJZ7aPD3tJwI5mam5xg4ubioby6tZzqLindz28oY/CARM6L4PxjIYQQ0afXkVml1LeBu4BMYBQwGPhfYHZouyaEECIS9lQ1cPOLm7htxhDW/GAWdqfvUbq5E/IZOjCRR1YfYG4Ay9dEK5dL8+M3dzI6K5nPfzCLlh6OvSfRULSnrrmVp748zNwJeQzLSA7b/fbHd84o5JFVB3h6XRk/OW8UAFUNdt7bbeVH54yMm9F/IYQQweHPf9W7gbOAOgCtdQmQG8pOCSGEiIxWp4ubX9xEotnAvbOLyE/veZTOZDTwHzOHs6Kkml2V9RHocXAt31nJlqN1XDE+n4Jejr0n3or2hLtQ1pNfHqbe7uCec0aG7T77a0J+GmcNz+D/vihtX9Zo8eajOFyam6cPiXDvhBBCRBt/glm71rrF84dSygREduE8IYQIo67rrUaiKm2oeY5xR0U9914wmiU3T2PwgKTebwjcefowLCYDj6w+GNpOhpjWmv/3wW5GZSVz47T+zc3sWLSn5N4L+OuVE/h0f3XQ0nZ7e046XZqHVx1g1ohMpg8ZGJT7DJe7ZhZSUm3jk301QFuK8ZRB6UwsSI9wz4QQQkQbf4LZT5VSvwCSlFIXAS8Dy0PbLSGEiA6eNUdnLlrFiPtXMHPRKrZX1MVVQNvxGKf99TP+880d5KRY/D7GnFQL108ZxLPrD3OiqTXEvQ2dt3ZWsulIHb+YXYTJ2P90YM/801HZKby2rZxfvPMV1nr/l/fxxZ/n5PKdFRw41sg9Z4/o9/2F2zcnDSIjycxjX5Sy29rAusPHuXGajMoKIYTozp//1vcCVcA24DvAO8B/h7JTQggRLYKx5mi0C8Yxfn/WCCbmp7H/WGNMjmC3jcruYURmMjeFIJ31vgvHYHe4ePDTff1uy5/z9ffPDlCYkcTcCbE3jznJbOS+C0czf8ogbC0OXru1mJuLT84qxkIIIXrWawEorbVLKfUMsJa29OLd2jORRQgh4ly0VKXticulsdrs3ZZY6brNV4prg93R72OcOmgAf7x8PNc8vS6i66qC98fDVx88+x5vbOUXs4swKDAHYVS2q7G5qVw/ZTD/XH2Qn543ipzUvs+dbWxx9ni+Nh05waf7a/jzFeODMsIcbi6X5rxR2Vz7zPpOz6XsZFlbVQghRGe9/pdTSl0O7AMWAY8Ae5VSl4W6Y0IIEWnHm1rZX9PYXsTHI9xVaXviLeW0pLqBbX6mRm86coKvrA39Pkarzc6tizdFfAQ7kLTwjvuO//Mn/OebOxiemRyyEeX7LiyiyeHkoU/397mNPVUN7PZxvrRum0fr0po3bpvBnacP62+XI8Jqs7cHshCf2RBCCCGCw59PKg8B52utz9NanwucD/w1tN0SQojw61hU50CNjW8v3cwv39vF4pumd6pK+0aAa46GkreU0301jVzlIw214zGWVDXw0+U7ePyLQ7x664y4WFc1kJRpb/teFcKg6ZS8NOZPHsTa0mOUHW/yKx276/n6wWvb+PvK/bxya3Gn8/XyLdMprW1i5qJVzPjbSu55YzultY0xlertES3PJSGEENGv1zRjwKq13tvh7/2ANUT9EUKIiPCM0nmCm8KMJJ6cP4WBSSYmFwxgzcJZVNtaKKmy0ep0RU26o7cP/ikJJq/BwLHGFo6caOabHdI3n7p+CmOzU8hLS2TNwll+peZ6Ew3rqoLvQMjpDgo9x5eTnMDxptawB02/u3QcB2sbOfsfq3tNx/b2nHzq+imMykxm8ICkTufL5dKc9cjqbkH8moWzyE9LDNnxhEK0PJeEEEJEP5//GZRS1yilrgF2KKXeUUotUErdSlsl43Vh66EQQoSBt1G625dspiA98euqtFkp/McrW/l//y6JcG+/ZjEauqWc2locXtNQQbUHstB2jLct3owyqPZjDOa6qm+EeV1V+DoQ6mjuhDzK6+ydUo9XHTxG2fHmsKeQp1iM3Ll0S59Hjm9bvBmzydDtfLW6dNyMZnp7LgWaKSCEEOLk0NN/7DnuSyJQCZwLnEdbZeOMkPdMCCHCqLm199TGJLOR7501nLd2VbKrsj7cXfSqxtbC4/Mmd/rgPzormTe8BAPJZmPIAp6O66p+9bPz+cuVE1h98FjYR7BzUyw8ff2UTsf+4JwJXPds5yB+weLNDHOnjIczaAokhTaQfb0F8bE6mtnxuXTgvtmsWTgrIoXEhBBCRD+facZa69vC2REhhAinjhVvtYbDx5v8Sm383pnD+eNHe/nrZ/t57LrJ4e52N4+uKWVb+QlWff8sHC7dqZpx17Rhq80e0vRNz2hhfhr8/oM9vLy1nMvG5TEiKzko7fvj8PEm7n17F6/eWkxWSgIWk8FnUGgxGRidldKv9OpABZJCG8i+ntHMjinJsTya6XkuCSGEED3xp5rxCKXUX5RSryml3vRcwtE5IYQIha4Vb89/9HMSzYZuRXW8BQM5qRZuLh7CcxvKqKyPbHVVu8PJ4s1HGDwgicEDkjqlCHtLGw5n+uYfvnEKRqX42ds7g952T97YUcHaQ8dJs5jaj72nUcv+plcHKpBzsLfa1m3U3de+MpophBDiZKR6WzJWKbUFeALYBrTnNmmtPw1t13pXXFys169fH+luCCFiTEV9MzMXreo24vXlD2fhdNHrKN1uawOn/OljfnnRGH57ydhwdr2TV7ce5bpnN/DOnadz6bhcv24TyBqs/fX//r2H3/x7N59890zOGZUVkvvo6vx/fk61rYVtPz2vfZu3QkqRWgPX0x+rzU5VQwt7q23kpVo4c0Rmp31anS4mPfgJE/PTWHT1qbQ4wzNyLIQQQkQhn//4/Klm3Ky1XhTEzgghRET5SjttbHFRmNF7SuzY3FTmjM/j0c8P8rPzR5Gc4M9bafA9u76MgnQLF43J8fs24Uzf/Ml5I9lQVkuzw0lpbWPIg7GqBjsrD9Tw89lFnbZ3HLUMVzpxTzznIDMpgWufWY/ZoNj843MxG79Olvrn5wfZXWXjT1eMpyBd0m2FEEIIb/yZKPV3pdSvlVIzlVLTPJeQ90wIIUIkGMVyfnzuKEZlJVNSbfNrvdBgs9bbefcrKzdNG4IxSkfqEk1G7rtwDN95ZWt7FeHtFXUhe5yW76zEpeHqifndrgt3OrE/EkwG/nzFeHZZG/jXmtL27TW2Fn777z1cNCabK8bnRbCHQgghRHTz55PbqcC3gQeAh9yXB0PZKSGECCWt8Xsuoi9nDc/ggctP4aqn1oUlUOvqxU1HcLg0txYPDcv99YXVZmf+cxv8WoYmGN7YVkFhRhJTBw8ISfuhcOWEPC4Ync1v/r2bY40tAPz6/d3UNbfy0JwJKBX5oFsIIYSIVv7kxl0NjNRat4S6M0IIEQ7/WH2QFSVVfPLdM0HRp7TTqsYWFize3C1QW7NwVljSeJ9df5jiIQMYn58W8vvqq0CWlumJP/N865sdfFBSxXdmFsZUAKiU4i9XTuA/XtnCnqoGslMSuHBMNsMykphYkB7p7gkhhBBRzZ9gdgswELAG0rBSaijwLJBPW+Gox7TWf1dKZQJLgOHAQWCe1rrWfZufA3cATmCh1vr9QO5TCCF609zq5P++KGXm8AwKM/u+ZEywArW+2Hq0js1H61h01cSQ31d/BLK0jEfXwDU7KYGd1vpeize9t9uK3eHymmIc7Sbmp/HnORP41vMb24/x9QUzcLl0VKRDCyGEENHKnzTjPOArpdT7AS7N4wB+rLU+BTgDuFspNR64F1ihtS4CVrj/xn3d9cAE4FLgn0opY+CHJITwl8ulqahv7jbn09f2eLB0y1GqbC18/6wR/WonGPNu++qZ9YcxGxXfmjo45PfVH96WoVl803Sf6dxdl0yauWgVB483tgey4DtV+Y3tFWSnJDBrRHiqJgeT1Wbnphc3djrGq58OXTq2EEIIES/8GZn9dV8a1lqXA+Xu3+uVUruAwcBc4Dz3bs8AnwA/c29frLW2AweUUnuB04A1fbl/IUTPvC1X8vqCGRQOTKT0eDNXPx0dy5gEk9aaR1YdYFxuKrOLsvvVlidQ6/j4PXP9VAZa+l/Z2FdarculqWywc/Wp+Vw5IZ+MJHO/7yuUulYRLqmy8T8rSnj51mIMXqrsW232boFrZX1LryPgLQ4Xb++q5NpJBVFbDKsnkRzlF0IIIWJZr5+6grGerFJqODAVWAvkuQNdtNblSinP4oiDgS863KzMva1rW3cBdwEMGzasv10T4qTlLXC4+ul1vH3H6e2BrGd7OOeC+qOva6WuPXSc9WUnePjqif2eV9k1ULPZndyxdDNjclJ5+vopfrfvb1rt+Nw0v9Jto03HpYB2VNTz5s5KXth4hAUzuheu8hbUWRvsXlOVnR2yBT7aW01ds4OrJxaE6ChCqy/p2EIIIYTwI81YKVWvlKpzX5qVUk6lVJ2/d6CUSgVeBX6ote7pdt4+jXXLbdRaP6a1LtZaF+fk+L+2ohCiM1+jQQkmFdWjRN5SUf2tIvyP1QdIs5i4ZXpwKgB3XO5lfH4al43LY09VA5uOnPArRdvbsRyo9Z5Wu6fG5le6bTS7bFwuUwal88BHJZ2CUY+mVle31O1n1x/mtQWdU5WfnD+Fha9vY3+NDYDXt5eTajFyYT9H2yPFWzp2oNW1hRBCiJORPyOznUplKqWuoi39t1dKKTNtgewLWuvX3JsrlVIF7lHZAr4uLFUGdPyEOQQ46s/9CCECp8DnaJC37QnG6Bgl8jai7M/IcUVdM0u3HOU/Zg4nLbH/qcDe3Dd7NBcUZXHtM+v9Gj31dizWBu9ptWZDdH/J4A+lFD+fXcT85zbw6tZy5k0Z1H5dVYOd/3xzO09fP6W9SnRhRhK/vWQs43PT2kfALSYDDXYnXxw6zk+X7+Cvcydy8/Qh3DRtSNQ8RwPVdZS/L9W1hRBCiJNRwP/5tdZvABf0tp9qy7F7Atiltf5Lh6veBG51/34rsKzD9uuVUhal1AigCPgy0P4JIXrndGke+KiEJ7ystVqQmthtlOjxeZN56ON9NLc6Il4Y6kSTo09B3WNfHKLVqbn7rOEh61tVYws3v7jJ79HT5lbfabUdFWYkkWiOXMGpYLrm1ALG5qTwPx+VoHXb80drzZ1Lt/BRSQ0FaYmsWTiLA/fNZs3CWUzMT8dkMrSPgOenJTI6O4WPvzuTu88awbn//Jxz/vE5t7y0Kazr/AZbx1H+/LRECWSFEEIIP/Q6PKGUuqbDnwagGC/pv16cBdwMbFNKbXZv+wXwALBUKXUHcAi4DkBrvUMptRTYSVsl5Lu11k4/j0MIEYCHPt3H/645xKXjcr2OBnUdJfr8wDFWlx5j3eET3PLSpojN2XxhYxkpCUavI8dmH33wFE26oCiLs0fOZHRWSsj6F2ghn8r67vNBPWm113QpwOX5kqHrnNlYS0U1GhT3XlDEbUs2884uK5ePz+OxL0pZvrOSh64cz5jcVL/ayUm1cOWT0T23WwghhBCh5U+u3ZwOvztoWxt2bm830lqvwvs8WIDZPm5zP3C/H30SQvTRxrLj/PK9r7j21ALmjM/3WqioY9EegGsmDWJkVkrYC0N1LI5U3dDCI6sOMHVwOq8vmNGp2vLj8ybzrzWl3H7aMFC0B+ZAt4rNoQzAfRby8ZL+uvrAMX6yfAfP3zCtfVkWX2m1vr5kiNVU1BumDeaN7eVYTAb2VtvIT0vk+2cVcs+skX63IRWAhRBCCKE8aV6xqLi4WK9fvz7S3RAipPpauddbOxX1zRysbaK2sZUzCzPISEnw+/altY2MuH9Ft+0H7ptNYUZywP3pjbelg567YSrFQwaQYDR2ekwq6+zUNLZyx9Kv51q+eOM0jAbF/Oc2dAsuQxWAe+vz4/MmU17XzE0dik7Z7A6m/vUzHE4XW398Hg2tjpgPUAPhcmnWHT7O9c9vaH+cXlswg8kF/n/JUFHfzMxFq8J2boUQQggRMT4/HPgcmVVK/aqHBrXW+nf96pIQolfegqO+jCz6amdAktnvdsK9fIi34kg3v7jJHayYugUsV3UZNb7hhY28++3Twzp612301Gjgbyv38dCnBxgyIInzRrdV2/35u1+xt9rGR/8xk9REE6khKkgVraw2e3sgC23n5JqnAxvl97bObyymXQshhBCi73r6BGXzsi0FuAPIAiSYFSLE+lK5t+tIbmaSmZJq78u99Dd4eCNIwUPXPg+wmKiss/sdiPpKOU0ye59fG8qiSV1TtH8xewzLtlfyp49LGJmVTFOri/NHZTF8YGJ7cHuyCUaKcDylXQshhBCib3wGs1rrhzy/K6XSgHuA24DFwEO+bidENPOVshusVN5gC/RDv7cR2CfnTyHJbAxq8HC8qZVdlQ18tq+GyYMGBH5gvfT5qflTcLi034Gor1Hj5ARDxEfv0hPNvHXH6ZTWNnLuPz/v9EWAy6Wj4nkWbsEa5e/6xYEQQgghTi49fnJQSmUqpX4PbKUt8J2mtf6Z1tra0+2EiEaeoGnmolWMuH8FMxetYltFHfZWB9u6bI+WJT48H/o7KsxIor7Z4XV/byO5ty/ZTF5aQlCWdfEED+Ny03hvt5UfvrmDzw8eC6gNz9xdz/I+1obufb5tyWZGZyd3WyLIVyDqGTXuum9WkqU9AO+41Eu4A8gUi5E7lm7pdIxX9bBkT7zzdb4kRVgIIYQQgfBZAEop9WfgGuAx4B9a64ZwdswfUgBKBMJXwZi37zidy59YG5WFZFocTj4/WMttS74ubPTMt6Zy71s7+dXFY5kyOL1Tau6eahtT//JZt3bKfnkh1baWoFb1rW92MPmhTzAZDWz60TmkWHqf9+ltFPb9u85g3B8/7rbvgftmM3RAkt8j5tE6ug7hL54VC6L5fAkhhBAiqgReAAr4MWAH/hu4r8PyHYq2AlDpQeueEGHgK2XXbFRRu8THk18e5pn1h3nnztNJTjBiMRlIM5uYPCgds1G1B+e9peaGYn5hWqKJJ+ZP4Rfv7GJrRR2D0hN7bdfbyPHeapvPlNNA0kijOeU03MWzYkE0ny8hhBBCxAafn6S01gatdZLWOk1rnd7hkiaBrIhFLo3XVNtEs/dUXnTndNhwpx03tjj4fx/swWw0MC43lcKMZPLTEklJNPHfF43hzi5pq7ct2cyoHlJzPcGDp51gjIKdOzKLh66cwA3Pb/QrRdvbFwq/+2APry2I75RTSasVQgghhAi+k2s9CHHSanG4+O37X/Hk/Cnc3iFld9ltMyhITexWJOjlW6ZTWtvErYs3By0tN1CLVh2got7O0lum0yEzAgCHS3sdTTao8FZ4tdrs3PjCRr+rJNtanN1GKCvq7QwZaInrqrRSeVcIIYQQIvgkmBUnhd/8ezfPbjjCLTOGeg0ougYaTqdm1j9W92spm/6obWzhTx/v44pT8pg1Iqvb9T2lrYYzfTOQasulxxq55/XtPH39FBZ0+ZIgKyn+AztJqxVCCCGECC4JZkXc+2xfDX/8eC+3nzaMC0bneN2na6BRWtsYkXm0nqI4FXV2npg3mQl5aV7387bmayTSVn0F1aYugWmr08UNL2xke0U9IzKTZYRSCCGEEEL0mwSzcS7W1lUNFs/xNbW6aGhxcM3EfP42d4Lft49EwR5vlX6X+ViLNFrSVr0F1Y/Pm8wfV5Tw5ysnYDEZAfjle7tZU1rL4pumM+wkrd4rhBBCCCGCy+fSPLFAlubpma/gaHxuGjut9UFdpiWaeDvuV24tZuqgAX4fn7c2nr9hGjMLM4LyGHn7MsFqs3tdOigalgjqSddjWX/oOFc+tY7/On8k95w9ihNNreyyNrDb2sC9s4si3V0hhBBCCBFbfH74lmA2jvlaV/Xfd53BxY99EXNBk798HXegx9cxSCuvs/OjZdt5+OpTKR46sF/98xYoL715OmajgWl/7b5GbCyuRfrSpjJyUy3tFZcLM5J447YZnBonX5gIIYQQQoiw8fnh8eRd5PAkYG/1XpxHu3923R4N66pCW7DXnyVxAilK1JOOS9mckpvKwdomfvD6toD64+1YvK21Ou+5De2pzR3F6lqk54/O7rZ00FVPrcNqs0e4Z0IIIYQQIl7E3qdk4ZcGu4MDxxq9BkdJPtZVtRgj/3TwjFrOXLTKr3VLvQlFUDggycyfrjiFtYeO8/T6w37dxtuxbDhygso6u9dge0CiKW7WIg3WFwpCCCGEEEL4EvnoRQRFxxHAQ7WN3P3aVu57dxeLb5reLTjyrKvacfvj8ybz0sYyyo439XlENBi8jVrOdY/o+TtiW91g5/F5k4MeFN40bQhnDc/g52/voraxpU/HMu/Z9ST4CLY7FnU6cN9s1iycFbPzmONplFkIIYQQQkQnqWYcBfpbWdjbHMwn5k3GYjIwY+hAv9ZV3VlRx6TBAzjbvbZqpIpC+RrRq2qwc6i2ifnPbeixfw6ni1sXb2ZQWiKrvn8WDpcOWqVfpRQPX30q33t1K19VNTAoPbHHtn0di2cE1tuyOvGyFmm0LB0khBBCCCHilwSzEear4vDE/HQAv4JcbyOAdyzdwpqFs3wGR962dyya5BkRDXdRqBNNDq9L4pgNBq58rvuIbdf+PbL6IJuO1PHzm4sYPCCpW/v9NakgnQfnTOCG5zf2GvT7Wt4nWpbVCaWT4RiFEEIIIURkSc5fhPlKq61psvs9dzQY8xOjYY7jk18e4juvbOHZb03tliKcZDb22r+y40386v2v+Ma4XK6dVBCSPlptdm58caPXNOiucpITeMbLsXQcgS3MSCY/LTEug7yT4RiFEEIIIUTkyMhshPkKIo83OrwGud5GShvs3kczA5mf6GsU0RTiAMSTYl1jayEjycxpQwcyY8iAbiN6Vpvda/+qGlooSLNwrKmV8no7z31rGtOHDECp0PQ7kKB/2c5K/vzxXl5fMIOMZLOMTgohhBBCCBFEMjIbYXaHy2uhHJf2vXxOx0JIW4+e4C+f7vM5AugvzxzHrkWhHlhRQkuIRmc7Vvs99cFP+c83d3D76cNIMBm7jeh569/zN0zl0c8PsKa0lpmLVnH631fyw2XbOdbYErLiVf4WNrI7nPx0+U4a7E4m5qfJ6KQQQgghhBBBprQOf8XaYCkuLtbr16+PdDf67J1dlfzxoxJ+e+k4blu8uXOhnFQLMx9e1W0kctntM3C54Oqnv55j++y3pjJ90ADqWh39mp/YtRDVhsPHmfPkOn5zURF3zRyO3RncuY/ldc2c6eUYfc3T9VYo6ytrA5c/sdbvNvrLV7GtYQOTGJ2T2r7fHz/ay8/f2cX7d53BRWNygt4PIYQQQgghThI+Aw9JMw4zT0B2rLGVFqeL4ZnJTMpP65ZWC3SrBvv8DdOw1rfw7Ze3dEo/vuWlTUEJ3roWhbp8fD6PXTeJEZnJ7YF1b1WO/a3MfPBYIxX13tdb9TVP11vRqhRL73Npg6lrYSMFfPfVreytbuTLe85mQJKZirpm/rCihCtOyZNAVgghhBBCiBCRYDaMXC7Ntoo6ruoQoL6+YAYDkxK8BnzeqsHuP2YLa/B2xSl5nUaIe5q7629lZpvdyT1vbOcHZ48I2VzfUK5n2jWo/vnsIi54dA33f7iH/zx3FEfqmnnmW1OYMig9ZH0QQgghhBDiZCdzZkOk47zWivpmGpodnQJZaAsMr37aeyVc8F4NNtVi8mvOZrDYnf4XPPJVmXl7ZR3ry463V2a+/Im1/PdFRcwYOqDbPNhgzPUN93qms0Zk8cy3pnDJuFxmPryKGX9byY+W7aCu2RGyubtCCCGEEEKc7GRkNgR8zatMTjD1e1TVE7x1Hf0MVfAWyMhnc6v3wDfRZGTuk52D3AWLN7Nm4ax+r0UaLeuZnj8q2+8RbCGEEEIIIUT/STAbAt5GKO9YuoWPv3tmv1Niwx28eQueH583mc1H6rh03NdBWl1zK/tqbD6X9/EVxHubBxuoYLTRX4GMYAshhBBCCCH6T9KMQ8DXWqQJRhWUlFhv6ceh0jF4PnDfbFZ//yxe3XKUK55Yy793W6mob+ZAjY21pbUs2VTGkpundzu+ZLMxrKnRkeDvkj1CCCGEEEKI4AjZyKxS6kngCsCqtZ7o3pYJLAGGAweBeVrrWvd1PwfuAJzAQq31+6HqW6j5Ss2NlpTYQHUd+fzznAlowGhQzFz0dZXjpbcUM7Wg+/FB98rM4Z7XGmrhTv8WQgghhBDiZBeydWaVUucADcCzHYLZPwHHtNYPKKXuBTK01j9TSo0HXgJOAwYBHwJjtNbOnu4jWteZ7amqb7QHrv46cqKJWY+s7tcasfHyWHicDMcohBBCCCFEmIV/nVmt9WdKqeFdNs8FznP//gzwCfAz9/bFWms7cEAptZe2wHZNqPoXSrE6AhsIh0v3e43YeHMyHKMQQgghhBDRItwFoPK01uUAWutypVSue/tg4IsO+5W5t3WjlLoLuAtg2LBhIexq/8R7YBOJ9V2FEEIIIYQQwiNaIg9vQ5Ze85+11o9prYu11sU5OTkh7pbwJRrWdxVCCCGEEEKcvMI9MluplCpwj8oWAFb39jJgaIf9hgBHw9w3EYCTIZVaCCGEEEIIEb3CPTL7JnCr+/dbgWUdtl+vlLIopUYARcCXYe6bCFA4lwgSQgghhBBCiI5CuTTPS7QVe8pWSpUBvwYeAJYqpe4ADgHXAWitdyillgI7AQdwd2+VjIUQQgghhBBCnLxCtjRPOETr0jxCCCGEEEIIIYLCZ/pntBSAEkIIIYQQQggh/CbBrBBCCCGEEEKImCPBrBBCCCGEEEKImBPTc2aVUlVAaaT70YtsoDrSnRD9IucwPsh5jH1yDuODnMfYJ+cwPsh5jA8nw3ms1lpf6u2KmA5mY4FSar3WujjS/RB9J+cwPsh5jH1yDuODnMfYJ+cwPsh5jA8n+3mUNGMhhBBCCCGEEDFHglkhhBBCCCGEEDFHgtnQeyzSHRD9JucwPsh5jH1yDuODnMfYJ+cwPsh5jA8n9XmUObNCCCGEEEIIIWKOjMwKIYQQQgghhIg5EswKIYQQQgghhIg5Esx2oZR6UillVUpt77BtslJqjVJqm1JquVIqvctthimlGpRSP+mwbb5SaqtSaodS6k893N90d7t7lVKLlFLKvf0cpdRGpZRDKfXNUBxrPAvkPCqlhiulmpRSm92X/+1wG6/nx8v9+TqPhUqpFe7nwidKqSGhPvZ4EYxzqJRKVkq9rZT6yv1afKCH+/N1Dhcopao6tH1nqI89ngTrtdjhtm92bMvL9fKeGmRBfD/9RCm1u8N1uT7uT95PQyBI76lpHbZtVkpVK6X+5uP+5D01yIL4WpTPqBEUyHl0XzfJfd0O9/WJ7u3yGRVAay2XDhfgHGAasL3DtnXAue7fbwd+1+U2rwIvAz9x/50FHAJy3H8/A8z2cX9fAjMBBbwLXObePhyYBDwLfDPSj0usXQI5j+7HeruPdryenwDO48vAre7fLwCei/RjEyuXYJxDIBk43/17ArCyD+dwAfBIpB+PWL0E67Xovv4a4MVe9pH31Cg9h8AnQLEf9yfvp1F8Hru0uQE4J8DzKO+pETyHyGfUiF8CPI8mYCswucP5M/Z0fgI4j3Hxniojs11orT8DjnXZPBb4zP37B8C1niuUUlcB+4EdHfYfCezRWle5//6w42063LYASNdar9Ftz6Rngavc/Tiotd4KuPp5SCelQM+jNz2dnwD2Gw+scP/+MTA34IM5SQXjHGqtG7XWH7t/bwE2At2+efT3XIvABeM8AiilUoH/BH7fwz7ynhoCwTqH/pD309AJ9nlUShUBubR9Sdj1OnlPDYEgnUP5jBphAZ7Hi4GtWust7tvWaK2d8hn1axLM+mc7cKX79+uAoQBKqRTgZ8Bvu+y/FxjnTvEw0fakGeql3cFAWYe/y9zbRGh4PY9uI5RSm5RSnyqlznZv8/f89LTfFr5+Q7oaSFNKZfX9EE56gZ7DdkqpgcAcvn7j7qi3c32tOw3nFaWUt9eyCExfzuPvgIeAxh7alffU8Onra/Epd8rjL32kxMn7aXj1+T0V+BawxP0BuSt5Tw2fQM+hfEaNTr7O4xhAK6Xed6d2/5d7u3xGdZNg1j+3A3crpTYAaUCLe/tvgb9qrRs67qy1rgW+Cyyh7RvLg4DDS7ve/pHLWkmh4+s8lgPDtNZTaRv5edE9V8Hf89PTfj8BzlVKbQLOBY7g/bkg/BPoOQTA/Q/7JWCR1nq/l3Z7OofLgeFa60m0fYP9TFCO5OQW0HlUSk0BRmutX++lXXlPDZ++vBZv1FqfCpztvtzspV15Pw2vPr2nul1P2/uqN/KeGj4BnUP5jBq1fJ1HEzALuNH982ql1GzkM2o7U6Q7EAu01l/RNsyPUmoMcLn7qtOBb7onzw8EXEqpZq31I1rr5bS9YaOUugtwKqWMtM0vAXgTeJTOKY9DgKMhPpyTlq/zqLW2A3b37xuUUvto+yasDC/nJ5DzqLU+Sts8P0+a5LVa6xOhOL6TQR/O4Xr3TR8DSrTWf3PfNpBzWNNh+/8Bfwz2cZ1s+nAeZwDTlVIHafu/lauU+gSYjbynRkRfXota6yPu7fVKqReB05RSLyDvpxHT1/dUpdRkwKS13uD+W95TI6SPr0X5jBpleog1yoBPtdbV7uveoW2+7fPIZ1RAglm/KKVytdZWpZQB+G/gfwG01md32Oc3QIPW+pEut8kAvgfM01o7gSld2q5XSp0BrAVuAR4OwyGdlHydR6VUDnDMPQdhJFAE7NdaH/N2fgI5j0qpbHfbLuDnwJPhONZ4Feg5dF/3e2AA0F4xM8BzWKC1LnfvdiWwK3RHeHLow2txPW3/kFFKDQfe0lqf525uSpe25T01DAI9h+7siIFa62qllBm4AvhQ3k8jqy/vqW7fosOorLynRk4f/y/KZ9Qo4+s8Au8D/6WUSqZttPZc2rJCy+UzqpuOgipU0XSh7c25HGil7duQO4B7gD3uywOA8nK73+CuZtyhnZ3uy/U93F8xbXny+4BHPG3TNhJRBtiAGmBHpB+bWLoEch5pmy+wg7a5AxuBOb2dnwDO4zeBEvd9Pg5YIv3YxMolGOeQtm8gNW0flja7L3cGeA7/p0PbHwPjIv3YxNIlWK/FDu0Np+dqxvKeGoXnEEihbbRgq/v6v+OuyBnAOZT30wifxw5t7e/tvVDeU6P3HCKfUWPmPLr3v8l9LrcDf+rt/ARwHuPiPdVzMEIIIYQQQgghRMyQAlBCCCGEEEIIIWKOBLNCCCGEEEIIIWKOBLNCCCGEEEIIIWKOBLNCCCGEEEIIIWKOBLNCCCGEEEIIIWKOBLNCCCGEEEIIIWKOBLNCCCGEEEIIIWLO/wehst2Dl7J80gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23) # 23 samples for testing\n", "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"])\n", "fh = ForecastingHorizon(y_test.index, is_relative=False)\n", "print(y_train.shape[0], y_test.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Results\n", "\n", "1. 'SysIdentPy (MetaMSS)', 255.67,\n", "2. 'SysIdentPy (Neural Model)', 325.10,\n", "3. 'SysIdentPy (AOLS)', 476.64,\n", "4. 'NeuralProphet', 548.28,\n", "5. 'SysIdentPy (FROLS)', 805.95,\n", "6. 'Exponential Smoothing', 910.52,\n", "7. 'Prophet', 1186.00,\n", "8. 'AutoArima', 1714.47,\n", "9. 'Manual Arima', 2085.42,\n", "10. 'ETS', 2590.05,\n", "11. 'BATS', 7286.64,\n", "12. 'TBATS', 7448.43" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy FROLS" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "805.9521186912001\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "basis_function = Polynomial(degree=1)\n", "sysidentpy = FROLS(\n", " order_selection=True,\n", " ylag=13, # the lags for all models will be 13\n", " basis_function=basis_function,\n", " model_type='NAR'\n", ")\n", "sysidentpy.fit(y=y_train)\n", "y_test = np.concatenate([y_train[-sysidentpy.max_lag:], y_test])\n", "\n", "yhat = sysidentpy.predict(y=y_test, forecast_horizon=23)\n", "frols_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy.max_lag:]),\n", " pd.Series(yhat.flatten()[sysidentpy.max_lag:])\n", ")\n", "print(frols_loss)\n", "\n", "plot_results(y=y_test[sysidentpy.max_lag:], yhat=yhat[sysidentpy.max_lag:])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy AOLS" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "476.6499631699247\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "df_train, df_test = temporal_train_test_split(y, test_size=23)\n", "df_train = df_train.reset_index()\n", "df_train.columns = ['ds', 'y']\n", "df_train['ds'] = pd.to_datetime(df_train['ds'].astype(str))\n", "df_test = df_test.reset_index()\n", "df_test.columns = ['ds', 'y']\n", "df_test['ds'] = pd.to_datetime(df_test['ds'].astype(str))\n", "\n", "sysidentpy_AOLS = AOLS(\n", " ylag=13,\n", " k=2,\n", " L=1,\n", " model_type=\"NAR\",\n", " basis_function=basis_function\n", ")\n", "sysidentpy_AOLS.fit(y=y_train)\n", "y_test = np.concatenate([y_train[-sysidentpy_AOLS.max_lag:], y_test])\n", "\n", "yhat = sysidentpy_AOLS.predict(y=y_test, steps_ahead=None, forecast_horizon=23)\n", "aols_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy_AOLS.max_lag:]),\n", " pd.Series(yhat.flatten()[sysidentpy_AOLS.max_lag:])\n", ")\n", "print(aols_loss)\n", "\n", "plot_results(y=y_test[sysidentpy_AOLS.max_lag:], yhat=yhat[sysidentpy_AOLS.max_lag:])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy MetaMSS" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "255.67107436422856\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "\n", "sysidentpy_metamss = MetaMSS(\n", " basis_function=basis_function,\n", " ylag=13,\n", " model_type='NAR'\n", " )\n", "sysidentpy_metamss.fit(y_train=y_train, y_test=y_test)\n", "\n", "y_test = np.concatenate([y_train[-sysidentpy_metamss.max_lag:], y_test])\n", "\n", "yhat = sysidentpy_metamss.predict(y_test=y_test, steps_ahead=None, forecast_horizon=23)\n", "metamss_loss = loss(\n", " pd.Series(y_test.flatten()[sysidentpy_metamss.max_lag:]),\n", " pd.Series(yhat.flatten()[sysidentpy_metamss.max_lag:])\n", ")\n", "print(metamss_loss)\n", "\n", "plot_results(y=y_test[sysidentpy_metamss.max_lag:], yhat=yhat[sysidentpy_metamss.max_lag:])\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SysIdentPy Neural NARX" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "325.1098648580196\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import torch\n", "torch.manual_seed(42)\n", "\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=36)\n", "y_train = y_train.values.reshape(-1, 1)\n", "y_test = y_test.values.reshape(-1, 1)\n", "x_train = np.zeros_like(y_train)\n", "x_test = np.zeros_like(y_test)\n", "\n", "class NARX(nn.Module):\n", " def __init__(self):\n", " super().__init__()\n", " self.lin = nn.Linear(13, 20)\n", " self.lin2 = nn.Linear(20, 20)\n", " self.lin3 = nn.Linear(20, 20)\n", " self.lin4 = nn.Linear(20, 1)\n", " self.relu = nn.ReLU()\n", "\n", " def forward(self, xb):\n", " z = self.lin(xb)\n", " z = self.relu(z)\n", " z = self.lin2(z)\n", " z = self.relu(z)\n", " z = self.lin3(z)\n", " z = self.relu(z)\n", " z = self.lin4(z)\n", " return z\n", "\n", "narx_net = NARXNN(\n", " net=NARX(),\n", " ylag=13,\n", " model_type=\"NAR\",\n", " basis_function=Polynomial(degree=1),\n", " epochs=900,\n", " verbose=False,\n", " learning_rate=2.5E-02,\n", " optim_params={} # optional parameters of the optimizer\n", ")\n", "\n", "narx_net.fit(y=y_train)\n", "yhat = narx_net.predict(y=y_test, forecast_horizon=23)\n", "narxnet_loss = loss(pd.Series(y_test.flatten()[narx_net.max_lag:]), pd.Series(yhat.flatten()[narx_net.max_lag:]))\n", "print(narxnet_loss)\n", "plot_results(y=y_test[narx_net.max_lag:], yhat=yhat[narx_net.max_lag:])\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "121 23\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23) # 23 samples for testing\n", "plot_series(y_train, y_test, labels=[\"y_train\", \"y_test\"])\n", "fh = ForecastingHorizon(y_test.index, is_relative=False)\n", "print(y_train.shape[0], y_test.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exponential Smoothing" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "910.5254076540349" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "es = ExponentialSmoothing(trend=\"add\", seasonal=\"multiplicative\", sp=12)\n", "y = load_airline()\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "es.fit(y_train)\n", "y_pred_es = es.predict(fh)\n", "\n", "plot_series(y_test, y_pred_es, labels=[\"y_test\", \"y_pred\"])\n", "es_loss = loss(y_test, y_pred_es)\n", "es_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AutoETS" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2590.05579491586" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ihFVJwiqEEEIIIUoVRVEYu/AoDho1X/etZ+twbKKyjwv/a1uFPw7EcCAm3dbhCGE1krAKIYQQQohSZebBq6w/l8yH3WtTwdPZ1uHYzKsPVMPP1ZEXlp3EzjtVCnHXJGEVQgghhBClRrLewIRlJ2gV5s2TrcJsHY5NeTo78E6Xmmy5kMLSE/G2DkcIq5CEVQghhBBClBovLj9Jem4BUwZGoFarbB2OzT3eohK1A9x4acUp8o1mW4cjhMVJwiqEEEIIIUqFDeeS+H1/DC/eX5V6wR62DscuaDVqPu1Vh/PJen7YdcnW4QhhcZKwCiGEEEIIu5dbYGLswmNU83Pl9U41bB2OXelWK4DONfx498+zpObk2zocISxKElYhhBBCCGH33l9/lvPJen4cEIGzg8bW4dgVlUrFpz3rkp5XwPvrz9k6HCEsqtiEdd++fWzdupUtW7bQqVMnli9fXhJxCSGEEEIIAcCxuEw+3RTFI00r8kB1P1uHY5ciQjwY3bwS3+24yLmkbFuHI4TFFJuwfvrpp1SuXJk//viD2bNnM2fOnJKISwghhBBCCExmhTHzj+Dl7MCnverYOhy79l6Xmjhq1Lyy8pStQxHCYopNWHU6Hb6+vmi1Wvz9/cnPl3XxQgghhBCiZPy46xJ7LqfzRe+6+Lo62jocuxbk4cTLD1Rj8fF4tkal2DocISyi2ITVzc2NUaNG0a1bN2bOnElwcHBJxCWEEEIIIcq5qxm5TFx1ms41/BjeuIKtwykVJrSrQqinE88vP4HZrNg6HCHumba4O7zwwgsoikK1atU4e/YskZGRJRGXEELcktmskKg3YDCa0WnVBLjqpA+fEEKUUeMWH8doNvPDgAhUKnmvvxMujlomda/Fw7MPM+vQVR5qEmrrkIS4J8XOsL7++utUq1YNgBo1auDoKEsxhBC2YTYrHI/PpNU32wmftIFW32zneHymXEEWQogyaPGxOBYfj+etB2tSxdfV1uGUKsMbhdIk1JOJq06Rk2+0dThC3JNiE1YXFxc++OADZs+ezdy5c5k7d25JxCWEEEUUReF8sp5TiVn0+XUf0Wm5AESn5dLn130k6g02jlAIIYQlZeYVMG7JcSKCPRjfroqtwyl11GoVn/eqS0xGHl9svWDrcIS4J8UuCW7UqBEAKSmycVsIYX2KohCVksOBmHT2X8ngYEw6B69mkJFnZNPY+4qS1eui03IxGM02ilYIIYQ1vLb6NLGZeSx8uCkOmmLnV8QttKvqS796QXy88TyPNa9EkIeTrUMS4q4Um7A+88wz7Ny5k5iYGCIiIggPDy+JuIQQ5cC/JacAOq2aiGAPhjSqQJNQT0K9nAjzdr4haQ3zdkanlZMZIYQoK3ZHp/H9zks80zqc5pW8bR1OqfZRj9qsOJXAG2vP8FNkA1uHI8RdKTZh/eKLL4iPjycqKgoHBwemTp3KF198URKxCSHKkOKSU0eNmgYhfyWnTUO9qBvkfsOVdbNZYemoZkXLgsO8nVkyqhkBrjpbPS0hhBAWVGAyM2b+ESp4OPF+11q2DqfUq+7vxlP3Vebb7Rd5tnU4ESEetg5JiP+s2IT1wIEDzJw5kxEjRtCvXz9mz559RwP37dsXd3d3AEJDQ3nooYd48sknqVy5MgBDhw6le/fuzJs3jzlz5qDVahk7diz333//3T8bIYRd+K/JaZNQL+oGuuNYzEypWq2iXpAHu8a1IVWfz5kkPTHpuTQI8SyJpyWEEMLKPtscxfH4LJaMaoa7U7GnqeIOvNG5Bn/sj+HFFSdY83hLqbYsSp1i3wlMJhMGgwGVSoXJZEKtLn7pncFQWABl+vTpRbfNnz+fUaNGMXr06KLbkpKSmD59OgsXLsRgMDBs2DBat24tlYiFsBN30kLGWsnp7ajVKoLcnQhw1TF67hGuZORy5mU/3HRyYiOEEKXZ+WQ97607y4D6wfSuG2TrcMoMHxdH3uhcgwnLTrDmdCLdagfaOiQh/pNiz/Aefvhh+vfvT2pqKpGRkTzyyCPFDnr69Glyc3MZPXo0RqORCRMmcPz4cS5evMiGDRsICwtj4sSJHD16lEaNGuHo6IijoyOVKlXi9OnTREREWOK5CSHuwfUWMv9cfuvt7MCu6LQSSU7/jVqt4ss+dWk9eQcfbTzP+91k6ZgQQpRWiqIwduFRHLVqvu5bz9bhlDlP3VeZ73de4oXlJ+lcwx+tFLISpUixCWu3bt247777iI6OpmLFinh7F7/53cnJiUcffZTIyEguXbrE448/zpgxY4iMjKRevXr88MMPfPfdd9SqVato2TCAq6sr2dnZ9/aMhBAWkag33NRCpu+v+/iid12GzjiIo0ZNRLB7iSSnt9Oqsg/DGlXg8y1RPN6iEmE+LiV2bCGEEJYz/UAMG84l833/+oR4SjVbS3PUqvmkZ236/7afn/ZcZux9lW0dkhB3rNiEdcSIETesdXdwcCAoKIixY8cSGhp6y8eEh4cTFhaGSqUiPDwcLy8v2rZtS3BwMACdO3fmvffeo2nTpuj1+qLH6fX6GxJYIYTtGIzmW7aQqeHvyoHx7Uo8Ob2dD3vUZvHxOF5eeYo5I5rYOhwhhBD/UbLewPPLTnBfZW/GtAyzdThlVp+6QbSr4sPba88wrFEFPJ0dbB2SEHek2LPN0NBQevXqxdtvv03fvn1xcXGhYcOGvPbaa7d9zIIFC/joo48ASEhIIDs7m6effpqjR48CsGvXLurWrUtERAQHDhzAYDCQlZVFVFQUNWrUsNBTE0LcC0UpbBnzd2Hezvi6OtKogqddJKsAFb2cebFDNeYdiWX7RekXLYQQpc0Ly06SaTAyZWCDm+okCMtRqVR83rsuSfp8Ptx43tbhCHHHij3jjI2NJTIykipVqtC/f3+ys7OJjIzEZDLd9jEDBw4kKyuLoUOHMn78eD744APee+89PvjgA0aMGMHBgwd56qmn8Pf3Z8SIEQwbNoyHH36Y8ePHo9NJewohbM1gNPHW2tP8MrhhUdIa5u3MUjttIfNih6pU8HRi/NITmM2KrcMRQghxh9afTeKPAzG8dH816gbJKjtraxLqxYgmoXy97QKXUnNsHY4Qd6TYJcEFBQVs27aNRo0acfDgQYxGI1euXCE3N/e2j3F0dOTzzz+/6fY5c+bcdNugQYMYNGjQfwxbCGFNE1edZvqBq4xqVold49r8a5Vge+Cq0/JRj9qMmHWIPw7E8EizirYOSQghRDFy8o08ufAo1f1cea1jdVuHU268360WC47GMnHVKWY9JFtphP0rdob1o48+Yu7cuURGRrJw4UI++OADDh8+zKuvvloS8QkhStia04l8ufUCY++rTIdqfgS5OxHm7UKQu5NdJqvXDWtUgZZh3kxcdYqsa1WLhRBC2K/31p/jQkoOPw6MwMlBY+twyo2KXs48374qcw7Hsjs6zdbhCFEslaIodr1+LiYmho4dO7Jhw4bbFnkSQlhGQpaBBp9vJsBNx57/tcW5lJ1A7IlOo9W323nlgWp80L22rcMRQghxG0djM2n61VYeahLKL4Mb2jqccifbYKTGRxsJ93Fh+zOtbyiwKoS9KXaG9ccff6Rp06a0adOm6I8QouwxmxVGzTlEZp6RWcMbl7pkFaBFmDcPNa7Al1svcDFF9uYIIYQ9MZsV4rPyiE7LITHbQMdqvnzas46twyqX3HRa3utai13Racw/EmfrcIT4V8XuYV29ejXbtm3D2dm5uLsKIUqxr7dfYM2ZJCb3q0+9YA9bh3PXPuhem0XH4nl55UnmjWxq63CEEEJQmKwej88s6u8d5u3M3BFN8JbWKjbzSLOKfLv9Iq+uOkXvuoGyLFvYrWJnWCtUqICTkzRwFqIsOxiTzisrT9GnbiBj7yvdPfBCvZx56f5qLDgax9YoaXMjhBD2IFFvKEpWobCv9+DpB0jUG2wcWfmlUav4rFcdLqbm8O32i7YOR4jbuqMqwb169aJGjRpF69tvVQFYCFE6ZRuMDJt5kAA3HdMGNSwT+1he6FCFn/dGM37Zcfb+rx0aOy4WJYQQ5YHBaC5KVq+LTsvFYDTbKCIB0KmGPz1qBzBpwzkeaVYRfzf7a10nRLEJ6+OPP14ScQghbOR/S49zLlnP+ida4evqaOtwLMLFUctHPeowfOZBftt3hUdbVLJ1SEIIUa45atSEeTvfkLSGeTuj0xa72E9Y2Sc96xDx+Rbe+fMsk/vXt3U4Qtyk2HeJOnXqsGPHDpYsWUJ6ejqBgYElEZcQogTMOxzLr3uv8MoD1bi/mp+tw7GoIQ1DaBXmzetrTpOZV2DrcIQQotxSFIWfdl1i2qAGhHkX1kQJ83Zm6ahmBLjKjJ6t1Q50Z0zLMKbsjuZUQpatwxHiJsUmrBMnTqRixYpcunQJPz8/XnvttZKISwhhZZdSc3hiwRFaVPLi7Qdr2joci1OpVHzVpx4JWQY+2HDe1uEIIUS59c6fZ3l73TkupuSwa1wbLr7WkV3j2lAvyMOu+3uXJ28/WANXRw0vrzhl61CEuEmxCWt6ejoDBw5Eq9XSuHFj7LxtqxDiDhhNZh6adRCzAjOHN8ZBUzaXZDWr5MXIJqF8tfUCF1L0tg5HCCHKnV/3XubddWd5pFlFHm1RiSB3J8K8XQhyd5Jk1Y74u+mY2LE6K04lsOFckq3DEeIGd3SWGhUVBUB8fDxqddk8sRWiPHl33Vl2Xkrjx4ERVPF1tXU4VvVB99po1SpeWnHS1qEIIUS5sv5sEk8sOErnGn5MGRhRJor6lWXj2oRT2duZF5afxGSWCSphP4rNPl9//XUmTpzIyZMnGTduHK+88kpJxCWEsJKtUSl8sOEcDzcNZWijCrYOx+pCPJ14pWM1Fh2LZ/P5ZFuHI4QQ5cLR2EwG/L6f2oFuzB/ZtMyu5ClLnBw0fNijNkdiM/l9/xVbhyNEEZXyH9b4xsXFERwcbM14bhITE0PHjh3ZsGEDoaGhJXpsIcqa1Jx8Gn6+BScHDQeea4e7U7GFwsuE3AITtT/ehLeLA/ufkzY3QghhTVczcmn5zXYAdj3bhlAvZxtHJO6Uoii0nryDS6k5nH3lAdx05eM8Qdi3Yi93/fHHH8ybN49p06bx6KOP8uGHH5ZEXEIIC1MUhTHzj5CQbWDW8MblJlkFcHbQ8HHPwqvGv+y9bOtwhBCizMrMK6Dnz3vJzDOy4tHmkqyWMiqVis971SE+y8Cnm6NsHY4QwB0krCtXrqRv375s3bqVlStXcuqUVA8TojT6ac9lFh2L5/2utWha0cvW4ZS4QQ1CaBPuw+urT5ORK21uhBDC0gpMZgb9cYDj8VnMH9mEBiGetg5J3IVWlX0Y3DCEzzafJyY9t/gHCGFlxSasKpWKpKQk/Pz8UKlUZGRklERcQggLOhmfxfilx+lcw4/n21e1dTg2oVKp+LJPXZJz8pm04ZytwxFCiDJFURTGLjzGn2eTmDIwggdrBtg6pDuiKGaM+ngKMi9j1MejKGZbh2QXPuxeG7MCb6w5betQhCg+YW3RogUPPfQQDz30EB988AEPPvhgScQlhLCQvAITQ2cewM1Ry29DGpXrNgJNQr14uElFvt52gfPJ0uZGCCEs5YMN5/hl72Ve61Sd0c0r2TqcO6IoZvKTjxM3ty0xv1Qjbm5b8pOP2zxptYckurKPC+PahPP7/hgOxKSX+PGF+Lv/VHSpoKAABwcHa8ZzEym6JMS9GbfkOJO3X2TFo83pXjvQ1uHYXFxmHjU+2kjnGv4seqSZrcMRQohSb8aBGEbOPsSIJqH8NqRhqWlfY9THEze3LcbM6KLbtB5hBPZeQkH6eVRaJ1QaJ1RaZ1RaHSqNE2qt899udwK1g0Wf7/UkOnH5AIyZ0Wg9wgjotRBHv3qoVCVbaTkjt4DqH22kbqA7G8e2KjX/rqLsKbbqyurVqzGbzeTn5/Ppp5/y6KOP8uijj5ZEbEKIe7TiZAKTt19kXNtwSVavCfZw4tWO1Xl99Wk2nkvmgep+tg5JCCFKrU3nk3l03mHur+rLT5ENSlVSo5jyb0hWAYyZ0ZjyUkhcEXlng6jURcmrSut87Wvd3xJdJ1Qa3T8SXWdUGt0/EuLCr3WBTYqS1evxJC4fQPDgbWhdgyz9K/hXns4OvP1gTZ5ZfIxlJxLoU69kjy/EdcUmrL/88gtTp05lwoQJbN68mdGjR0vCKkQpEJeZx+i5h2kQ4sHHPWrbOhy7MqFdFX7aHc34Zcc5OL69tLkRQoi7cCI+i/6/7aO6nysLH2mGo7Z09VpVTPloPcJummHVulciZNheFJMBxZiLYsxDMeXd4u/rPzNg/uf9rn9dkIM5NwWjKQ/FeG28v43xT0ED198yicaUb/Xfx62MaVmJ73Zc5KUVJ+lWK6DU/RuLsqHYhFWn0wHg6uqKo6Mjer3s+xLC3pnNCg/PPoQ+38is4Y3RaTW2DsmuODlo+KRnHQZPP8C0PdE80aqyrUMSQohSJS4zjx7T9uDsoGHloy3wci7ZLWP3KufCCtL3f4lf52kkr3vshuW3Wo9KqFSVrR6DoijXkuK/EmDglkk0Gkerx3MrWo2aT3vV4b11ZzmZkIW3iwM6rZoAV125rokhSlaxCWtoaCgDBgzgjTfeYPLkyURERJREXEKIe/DZlijWn0tmysAIage62zocuzQwIpi24T68seYMQxpWwLOUnWwJIYStZBuM9Pp5Lyk5+Wx56j7CfFxsHdJ/knnsZ1I2Po1jQCMc/OoRPHhb4QymxhGNS0CJ7RVVqVSF+2C1TkW3KYqZgF4Lb9jD6tf5JxST7dqxdanhj5tOS7/f9hGdlkuYtzNLRzWjXpCHJK2iRNxR0SW9Xo+rqytJSUn4+/uXRFxFpOiSEP/N3stptJm8g771gpg7okmp2k9U0g7GpNPs622Mb1eFz3rVtXU4Qghh94wmM31/3ceaM4ksG126ivkpikL67vdI3/M+zpW7EtB9FmpHN1uHdRNFMWPKSQRTPopiJnnDUxgzLhAyaAsa15L/fcdn5dHqm+1Ep/3VkzXM25ld49oQ5O70L48UwjKKnWE9fPgwixYtoqCg8MpOYmIiP//8s9UDE0L8d1l5RobPPEiIhxNTBkZIslqMxqFePNKsIt9uv8gTLcOo7m9/Jy5CCGEvFEXh2SXHWXU6kR8G1C9dyarZSPLGZ8g+/gtudR7Gr+P3qDT2ubJGpVLfUGDJu9XbxC98kPglvQgeuB61zqNE4zEYzTckqwDRabkYjNKzVpSMYtc8vP/++zRv3pzs7GxCQkLw8vIqgbCEEHfjmcXHuJiaw4zhjfB2sc1+l9JmUtda6LRqXlxx0tahCCGEXft0cxRTdkXz0v3VStXef3OBnoTlA8k+/guezV/Br/NUu01Wb8UpuDkBPeeSn3KchBWRKEZDiR5fp1UT5u18w21h3s5oZTmwKCHFJqweHh707NkTNzc3nn32WRISEu5o4L59+zJixAhGjBjBq6++SnR0NEOHDmXYsGG89dZbmM2FV2XmzZtH//79GTRoEJs2bbq3ZyNEOTbzYAzTD8TweqcatAn3tXU4pUaQhxMTO1Zn2YkE1p9NsnU4Qghhl+YcusorK08xpGEIH3SrZetw7pgpN5n4hV3IvbQG3/u/xee+d0vl6iOXyl3w6zyVvCubSFo7CkUpudnNAFcdS0c1K0paw7ydmTaoARNXnSI24+ZKx0JYWrFLglUqFefOnSM3N5cLFy6QlFT8CZ3BUHjlZ/r06UW3Pfnkkzz33HO0aNGCN998kw0bNtCwYUOmT5/OwoULMRgMDBs2jNatW+PoKDNDQvwXUcl6nlp4jNaVvXm9U3Vbh1PqPNe2Cj/tvsyEZSc4OL4dWo2U7RdCiOu2XUjhkTmHaRvuw69DGpaaQjsFGReJX9wDU1YMAT3m4lqtj61DuifutR/CnJNI6rZX0GwOwKfDlyWSfKvVKuoFebBrXBsMRjM6rZpzSXoWH49n4/kUlo9uTsMKnlaPQ5RfxZ6VvfLKK5w7d44RI0bwwgsvMHTo0GIHPX36NLm5uYwePZqRI0dy+PBhTpw4QfPmzQFo164dO3fu5OjRozRq1AhHR0fc3d2pVKkSp0+fvvdnJUQ5UmAyM3zmQdQqmDGssSRbd8HJQcOnvepwPD6Ln/ZctnU4QghhN04nZtH3132E+zizeFSzUtMmzZB4iLi57TDnphA0YE2pT1av82wyAY/G48k88j0Z+z4useOq1SqC3J0I83YhyN2JtlV82fZ0a1RA2+92sPLkna3AFOJuFDvDWr16dYxGIxcvXuTDDz+kZs2axQ7q5OTEo48+SmRkJJcuXeLxxx9HUZSiq0Curq5kZWWRnZ2Nu/tfLTdcXV3Jzs6+h6cjRPnz5toz7L2SztwRTUpdawF70q9eEO2r+PLmmtMMaRgie4CFEOVeQpaBHtP24qBRseqxlviUkvfF3Oj1JKwYhNrJh+CBf+LoU9vWIVmUT9sPMeUkkLbzTTQuAbjXG22TOBqEeLJ7XFt6/7KXPr/u5cs+9Xi2TbhNYhFlW7FTMV999RXvvPMOhw8f5q233mLatGnFDhoeHk7v3r1RqVSEh4fj5eVFSkpK0c/1ej0eHh64ubmh1+tvuP3vCawQ4t9tPJfMJ5vO82iLSkQ2CLF1OKWaSqXiyz51Sc0t4L3152wdjhBC2JTeYKT3L3uJz8pj+egWhPuWjgui2admEr+0Nw6e4YQM3lrmklUorCLs3/knnMO6kLzhKfRRy20WS4inE1ueuo9edQL535LjjFtyHJO52I6ZQvwnxSasW7duZdasWUycOJGZM2eyZs2aYgddsGABH330EQAJCQlkZ2fTunVr9uzZUzRm06ZNiYiI4MCBAxgMBrKysoiKiqJGjRr3+JSEKB+S9QZGzD5ITX83vuotPUQtoWEFT0Y3r8Tk7Rc5kyirPYQQ5ZPJrDB81kEOxKQz+6EmNKvkZeuQiqUoCun7PyNp7SicQtoQHLkRrVvZvZCr0jgQ0GM2uoAmJK0aTl7sTpvF4qrTsuDhZoxvV4XJ2y/S99e9ZOUZbRaPKHuKTViDgoKKZkGNRiN+fn7FDjpw4ECysrIYOnQo48eP54MPPuC1117j22+/ZfDgwRQUFNClSxf8/f0ZMWIEw4YN4+GHH2b8+PHodLp7f1ZClHGKovDo3COk6AuYNbwxrrpiV/eLO/R+11o4O2h4cbm0uRFClD+KovDc0uMsO5HAV33q0btuUPEPsjHFbCJ1ywTStk/EtcYggvouR60r+0WA1I5uBPZditajEglL+5KfcsJmsWjUKj7vXZfv+tdnzZkk2n2/g5j03OIfKMQdUCmK8q/z9gMHDiQ2NpZatWpx/vx5HBwc8Pf3B2DOnDlWDzAmJoaOHTuyYcMGQkNDrX48IUqD73Zc5NnFx/mid12ea1fF1uGUOZ9uOs/LK0+x5vEWPFgzwNbhCCFEifliSxQvLD/JhPZV+KyX/a/eMRvzSFr7CDnnFuHR+Dl82n6ESlW+ig8WZEYTN7cdqNSEDNqC1qOSTeNZeyaRQX8cwE2nYfno5jQO9bJpPKL0KzZhvXr16m1/VqFCBYsH9E+SsApxo6OxmbT4ZhsPVPNjxaPNrVrSXlHMmHISUUz5qDSOaFwCysWJgMFoot6nm9Fp1Rye0F4qLwshyoWFR2MZNP0AA+oHM+ehJnbfvsaUl0bi8oHkXd2GT7tP8Gz8nK1Dspn8pKPEze+IxjWI4EGb0Tjbth/7sbhMev28l2R9PjOHN6ZPPfufqRf2q9izsAoVKtz2jxCiZOXkGxk28wBezg78Orih1ZPV/OTjxM1tS8wv1Yib25b85OMl2qz8dnEZ9fEUZF7GqI+3Sjw6bWGbm5MJ2UzZHW3x8YUQwt7svJTKiFmHaFnJm9+HNrL7ZNWYFUPc/PvJi9uNf9c/ynWyCuDoH0FA70UYMy+RsLQP5gJ98Q+yovrBHuwe14a6Qe70/30fX26Nopg5MiFuS6YNhChFnl9+kpMJ2fw+pCEB7tbd723KSSRx+QCMmYUJmzEzmsTlAyhIv4Ah8RD5KScpSI/CmH0VU24y5vwsFFOBVT+QSjKJ7lM3iPur+vLW2jOk5uRbfHwhhLAX55Ky6fPLXkK9nFk6uhnODvbdazU/+Tixc9thzLpCUL8VuNUaYuuQ7IJzaFv8u83AkLCfxJXDUEwFNo0nyMOJTWNb0b9eMM8vO8nTi45hNNn2orcone64UktGRgaenmV/A7sQ9mrxsTim7Irm+fZVS2RfpWIyFCWr1xkzozHpY4lf0OlfHqlCpdGh0jqh0uhAo0OtLfxbpdGh0jhd+1uHSuNYdL+/fuaISvuP+2mdQOOILqDxLZPo4MHb0LpadrlRYZubejT+cgvvrjvLV33qWXR8IYSwB0nZBnr8vBeVSsWqx1rg52rfxS9zY7aRuHwAKq0zwZEb0fk3sHVIdsW1Wh98H5hMyoanSF7/BH4P/mzV1VjFcXHUMndEE15ddYpPN0dxMTWHuSOa4OHkYLOYROlTbMK6d+9e3n33XUwmE127diUkJITIyMiSiE0Icc2V9Fwem3eEJqGeTOpWy+rHM+WlYkyPQusRdkPSqvUIQ+MSSEDP+Sgmww1/MBkwG/Pg77cbr3+dd+3vfBRjHooxF7Mh/drt+dfum1c0jmIy3DKuoIHrb5lEY7LODGhEiAePtQjj+x2XeLJVGLUCpE+0EKLsyC0w0efXfcSk57LhyVZU83O1dUj/Sn9uIUlrHkHrEUZgv5U4eITZOiS75FH/MUw5CaTvegeNSyA+bT+0aTxqtYqPe9ahmp8rTy86RpvJO1g+ujlhPqWjt6+wvWIT1q+//poZM2bw7LPP8uSTTzJ06FBJWIUoQSazwshZh8g3mZk1vDGOWuuu5C9IO0f80j5oXALw7z6LpFXDMGZGo/UII6DXQhy8q+PoU9OqMSiKAtcT2aJk1wAqzS2TaDSOVovl3S41mXP4Ki8sO8mKx1pY7ThCCFGSzNc+W/ZcTmPeiCa0quxj65D+Vcbh70jdPAFdcEsCey+yeVEhe+fVfCImfQIZBz5H4xqEZ+P/2TokHm8ZRriPC5F/7Kflt9tZNqp5qejxK2yv2DNftVqNl5cXKpUKnU6Hq6t9X30Toqz5cOM5tlxI4dt+9anu72bVY+XGbCV2blvMhnR8Wk9CF9iE4MHbqDj6PMGDt+HoV69EqgSrVCpUWh1qnQcalwC07hVx8KpWlDRrr11V13qE4d9tOhoX6y2RDnDX8UanGqw6ncia04lWO44QQpSkF1ecZOGxOD7rVYcBESG2Due2FEUhdftEUjePx6VKT4IGrJFk9Q6oVCp8O3yJS/X+pG59kezTs2wdEgCdaviz45k2OGvVdPhhB4uOxdk6JFEKFHvmWalSJT7//HPS09OZOnUqISH2+6YmRFmz61Iq7/x5lqGNKvBwU+u2dco68Qfxi7qhcfYnZMh2nCq0RqVSo3UNQutRCa1rkM1b2qhUahz96hE8eBuho8/j3+U3Ure8QOahb6x63GfbhFPNz5UJy05QIAUjhBCl3LfbL/Ll1gs82yac59raby9vxZRP8p+jydj/Ge71Hyeg51zUWmdbh1VqqNQa/Lv8hlNoe5L+fIyc6HW2DgmAOkHu7BrXlgYhngz8fT+fbjovFYTFvyr27POdd94hJCSEJk2a4OLiwnvvvVcScQlR7mXkFjB85kEqejrxff/6ViuaoChmUre/RvK6x3Cq0Jbgwdtw8LTfE5jrSbSDRyV0wS3QulckdetLZB6darVjOmrVfNarDqcTs/lxl7S5EUKUXkuPx/Pc0uP0rRfEF73r2rQgz78x52eRsLQf2adm4tXqbXwfmIxKfce1QsU1aq0Tgb0W4OhTh8QVgzDE77d1SAAEuuvY8GQrBjUI4eWVp3hiwVG5ICxuq9iEVaPRULduXbp3707NmjU5cuRIScQlRLmmKApjFx7lSkYesx5qgqezdarpmQtySFw5lIz9n+Je7zGC+i5H4+RllWNZg0qtxb/r7ziHdydl4zNknZxutWP1qhNIp+p+vL32DCl6aXMjhCh99l5OY9jMAzQL9WLGsEZo7LTXqlEfT9yCTuRe2Yhf56l4t5hot4l1aaDWeRLYbzka5wDil/amIO2srUMCwNlBw6zhjXm1YzWm7blMj2l7SM+1bSseYZ+KTVifeeYZPvroI+bMmcPs2bOZM2dOScQlRLn2+/4Y5hyO5e0Ha9AyzNsqxzDq44hb0JGc80vwafcJvh2/Q6UpfWXmVRpHAnrMwaniAySvexz92QXWOY5Kxee965KRV8A76+zjw14IIe7UhRQ9vX7eS5C7E8tGN8fF0T5nKwvSzhI3tz0FqWcI7L0I97qP2DqkMkHrGkxQvxWAivjFPTHq7WPvqFqtYlK32vw8qAGbo1JoM3k7F1NybB2WsDPFvlulpKRIkipECTCbFRL1BrINJnxcHHiyVSVeeaC6VY5lSDpCwrL+mPNSCei1ANeqvaxynJKi1joR2Hsh8Yt7kLhmJIFaZ1yq9LD4ceoHezCmZRg/7LzEky3DqBMkbW6EEPbr+udKbr6Js0nZNAzx4Jt+9Qlwt89eq3lxe0lY1heA4IHr0AU1s21AZYyDd3WC+i4nbkEnEhb3JDhyI2qdp63DAmBU80pU9nFhwO/7afXtNpaMam61C/ai9Cl2hjU8PJyEhISSiEWIcstsVjgen0mrb7ZT46ON/G/JcR5vWRlrLIDKubCSuHn3g2ImOHJTqU9Wr1M7uBLUZymO/g1IXDmE3MsbrHKcd7rUxM1Rw/PLT0iRCCGE3fr750rVDzcyduExPuhem+p22ms158JK4hd2Ru3oQcigLZKsWokusDGBPeeRn3qahGUDCvun24n7q/mx69k2uOm0PPDDTuYfibV1SMJOFJuwHjhwgPvvv582bdoU/RFCWFai3kCfX/cRnZYLQHRaLv1/20ei3mCxYyiKQsbBb0hYPgAH7xqEDNmBLqChxca3B2qdJ0F9V6D1qkbCsgHkXd1h8WP4u+l488EarD2TxGppcyOEsFOJ2Td/rgz8Y79FP1csJev4LyQsH4iDT21CBm3Bwds6q4tEIeewTvh3+YW8q1tJWjMSxWyydUhFaga4sXtcG5qEejJ4+gE+3HBOLg6L4pcE//nnnyURhxDlmsFoLjqpuC46LReD0TIV8xSzkZTN48k6OgWXqn3w7/obagf7vMp+rzTOvgT3X0PcggeIX9qb4AF/ogtsYtFjPH1fOFN2RfP8shN0ruGPg8a27X6EEOWb2axwLlnPgZh0DsRkcDAmg3e71rTq54olKIpC+p5JpO9+F+ewBwnoMQe1o3X7jYtCbjUHY8pJJHXL86RsGldYhdlOClv5uepY90QrHpt3hNdWn+Zcsp4fB0TgqJXP2vLqtgnr999/z1NPPcWECRNu+g/8+eefWz0wIcoLRVFIyDIQ5u18w8lFmLczOgu8OZsNGSSuHEbu5XV4Nn0B79bv27yfqrVpXAMJ6r+WuPkPEL+4B8ED1+HoV99i4xe2ualL71/28v3OS/zPjvsYCiHKllslpwevZpBlMAKg06ppGOKBVq2y2ufK3VIUM6acRBRTPiqNI1kn/iB997u41X4Iv05TSmXhv9LMs9GzmPTxZOz/FI1rEN4t37B1SEWcHDRMH9aIqn6uvLfuLNGpOSx4uCneLo62Dk3YgEq5zTz76dOnqVWrFnv37r3pZ82bN7d6YNfFxMTQsWNHNmzYQGhoaIkdV4iSYDYrjFtynAMx6XzWqy4PzTpIdFouYd7OLB3VjHpBHqjvoe1AQcZFEpb2pSD9HH4dvy931RYLMi4QN78jirmA4IEbcPSpabGxFUWh20972HslnbOv3I+fq30WMRFClF5ms8L5FD37r/x7cto41IsmoZ40CfWkTqA7Dhp10R7W68uCLfW5crcUxUx+8nESlw/AmBmN1iMMv05TyE87i0fEE3Yzu1feKIpC8roxZJ/8Hd8HJuMRMcbWId1k+oErPDbvCFV8XFjxaAuq2uk+bGE9t01Y586de9sHDR482GoB/ZMkrKKsMprMPD7/CL/vj2FC+yp83L02STn5GIxmdFo1Aa66ezqpyIvdRcLygWA2EtBzLs4VO1gu+FIkP/U0cfM7otI4Ehy5EQfPcIuNfSI+izHzD/NZr7qEeDpZ5N9NCFE+3Uly2iDYgyYVb05O/23MRL3BYp8r98KojydubluMmdFFt2k9wggevA2ta5BNYhKFFLORhOUDyb20hoAes3Gt1s/WId1ka1QK/X/fh1qlYvEjzWgd7mPrkEQJuu2S4KSkpJKMQ4hyxWA08dDMQyw8Fsc7XWryeqfqqFQqgtydLDJ+9unZJK8bg8a9IkF9luDgXcMi45ZGjj61CO6/mrgFnYlf2JXgyA1o3S1z8at2gBuf9qzLsJmWnRkXQpRt15PTAzEZ7L+SzsGYDA7FZpCZd2Ny+lCT0DtOTm9Frbbc58q9Ukz5NySrQOH3pnwbRSSuU6m1BHSfRfyiriStHom630qcQ9vZOqwbtKvqy65n29Dz5710/HEXvw5pyNBGFWwdlight51hve7555+36Z5VmWEVZU1OvpGBv+9nzZkkvuhdl+faWW7/Y2EBi/dJ3/0eThXaEtBzHhpnX4uNX5oZ4vcTt6gLWtdgggduQOMaeM9jxmfl0eqb7TftEds1ro3dnCQKIUrG7WYz7zQ5bRzqSdNrs6d3k5zaO2P2VeLmdZAZVjtmykst/DfKjiU4cgM6/wa2DukmKfp8Bvy+j60XUpkaGUHP2oEYTLZfQSCsq9gqwQUFBZw+fZrw8PCi/QWOjrLhWYi7kZlXQK+f97L9UuEb7WMtwiw2ttmYR/K6MejPzMGtzkj8On6PSiOv1et0QU0J6rOU+MU9iFvcjeCB69E43duSImtXdxZClA632i86c3hjZuy/wqzDsTclp8MaVSjTyek/mfOzSd39Pn6dppK8fkzRHtaAXgvRuATYOjxxjcbJh6B+K4md256Exb0IHrzFottoLMHX1ZG1Y1ry0YZzhPu40Orb7bLCqRwodoa1Z8+e5OTk/PUAlYoNGzZYPbDrZIZVlBUp+ny6/bSbw7GZTB/WiMENLbeUxZSTSMLySAxxu/Bu/T6eTV+UAha3kRu9nvhlfXH0iyC4/xrUOo+7HktmWIUQcPv3gqmRDVh8LI4moV40rVg+ktN/MhfoSVjSm7zYnQT2W4Gjb93CZcAaRzQuAWW+an1plJ9ygrh5D6B29iVk0BY0Lv62Dukm8Zl5RcnqdfL5W3YVO8O6YsWKkohDiDItLjOPB6fs5nyKnkWPNKNnnXtfjnpdfspJEpb2xaSPLyyWUH2AxcYui5zDOhHYYw4JKwYRv7QPQf1W3HVP2gBXHUtHNbthVmXaoAasOZ3II80qWThyIYQ9MpkVEjINt1xtUcPfle8HRNgoMtszG3NJWDaAvNgd+Hf5DZdKHW0dkrgDjr51CeyzhPhFXa/1M19nd/1xDSZZ4VSe3Pay1rvvvgsUVgQeMmTIDX+EEHfuUmoO7b7bwaW0HFY91sKiyWpO9Dpi57ZDMeYRHLlRktU75FKlJ/5df8cQV1hJ2WzMu6tx1GoV9YI82DWuDRdf68iuZ9uwNSqF0XOP8NnmKAtHLYSwN4lZBrr+tJsLqTmEeTvf8DNb9zy1NbMxj8TlkeRd2YRf559wqyXnj6WJU0grArrPJD/xMIkrBqPYWXEsnVYtr7ly5LZLgpOTk/Hz8+Pq1as3/axChZKryiVLgkVpdiYxm85TdpGdb2LVYy1oGeZtsbEzj04lZdP/cPStQ2DvxWg9ZEbvv8o6+QfJfz6Gc3h3AnvOs8ieX6PJzIjZh5h7ONbiRbWEEPZj+8UUhkw/SGpOPnNGNKayt4vd9Dy1NcWUT8KKQeReXIVfpym41xtl65DEXco68TvJ6x7Hs8VreEQ8gWLKR2UHy7lvtW/8l0ENqe7vSqiXc/EDiFLltkuC/fz8ADAajaxZs4aCggIAEhMTi2ZfhRC3dyQ2gwen7Ealgk1jW9EgxNMi4ypmE6nbXibz0Dc4h3cnoNt01I7uFhm7vHGvMxKlIIeUTeNIWvMw/t2mo1IXu1PiX2k1aqYPbYTRpDBh2QkcNCqebm1fRSuEEHdPURQ+2xzFxNWnqeLjwqrH2hIR4oHZrLBrXBu76HlqS4qpgMRVw8i9uArfByZLslrKudd9GAUVDu6hRX10rxfMcvSrZ7Ok9e8rnAxGM4oCj807THquke3PtMbJQWOTuIR1FPu/7OWXXwbg4MGDxMTEkJ6efkcDp6Sk0L59e6Kiojhx4gRt27ZlxIgRjBgxglWrVgEwb948+vfvz6BBg9i0adPdPwsh7MyuS6nc/8MudFo1W55qbbFk1ZyfRcLyAWQe+gaPRuMI7LVQktV75NHgSXzafoT+3EKS141BUe59/4tWo2bWQ43pUzeQZxcfZ8quS/ceqBDC5tJzC+j/2z5eXnmKfvWC2PdcYbIKf/U8DfN2IcjdqXwmq2YjSWtGkhO1DJ8OX+IRMcbWIQkLcKn8IMnrnyhqSWTMjCZx+QBMOYk2jevvr7nKPi6Ma1uFg1czGLfkuE3jEpZX7FSCk5MTTzzxBJcuXeLDDz9k2LBhxQ5aUFDAm2++iZNTYZWukydPMmrUKEaPHl10n6SkJKZPn87ChQsxGAwMGzaM1q1bS8scUeptPJdMn1/3EuSuY/0TrQjzcbHIuMasKyQs7Ut+ykl87/8WjwZPWGRcAZ5NJmAu0JO++z1UWhd8H/j2nqssO2jUzBnRhIG/72fswmNo1WoebSHLtoUorQ7GpBP5xwGupOfyVZ+6PNsmXKqx/41iNpG0djT6cwvxafcJng2ftnVIwkIUU/4N/XOhMGnFzva19q4bxCsPVOOjjedpFebNqObymVtWFDvDqigKSUlJ5OTkkJOTQ0ZGRrGDfvzxxwwZMoSAgMLeWsePH2fz5s0MHz6ciRMnkp2dzdGjR2nUqBGOjo64u7tTqVIlTp8+fe/PSAgbWn4inh4/7yHcx4WtT7e2WLJqiN9P7OzWFGRGE9hnqSSrVuDV4nU8m0wg69hUUre9QjEdv+6ITqth/simdK3pz5gFR/h93xULRCqEKEmKojB1dzStJ++gwGRmy1P3Ma5tFUlW/0ZRzCSvexz9mTmFrdUaP2frkIQFqTSOaD1u7Buv9QgDO+z1/l7XWnSs7sfTi45x+GrxOYsoHYpNWJ955hnWr19P79696dixI+3atfvX+y9atAgfHx/atm1bdFtERAQvvfQSM2fOpGLFinz33XdkZ2fj7v7XUkZXV1eys7Pv4akIYVtzDl1lwO/7qR/kzqax9xHsYZk+YPpzi4hb0BGV1omQwVtwqfygRcYVN1KpVHi3+RD3BmPJPPgl6bsts1ffyUHDwkea0bGaH6PnHWbmwRiLjCuEsD69wcjDsw/x5IKjdKjqy8EJ7WhV2cfWYdkVRTGTvOEpsk/NwKvlm3g1e8nWIQkL07gEENBrYVHSqvUIw6/TFPJT7W+iSaNWMXNYY3xdHRn4x37ScuxrFljcnWKXBDdr1oxmzZoB0LFj8f2zFi5ciEqlYteuXZw6dYqXX36ZH374AX//wqbDnTt35r333qNp06bo9fqix+n1+hsSWCFKk2l7onliwVHahvuwbHRzPJwc7nlMRVHI2PcJaTvfQBfcksBeC9C4BFggWnE7KpUK3w5fohToSd8zCZWDK15NX7jncZ0dNCwZ1YxeP+/l4dmH0KpVDG5YctXWhRD/3enELCJ/P8DJxCze6VKT1zpWL5f7Uv+NoiikbPof2cd/wav5q3i3fN3WIQkrUKnUOPrVI3jwtsJlwGotqTvfRn9mFkG9l+Ac1snWId4gwF3HvBFNaP/9Th6Zc5jFjzST124pZ/HSXjNnzmTGjBlMnz6d2rVr8/HHH/PUU09x9OhRAHbt2kXdunWJiIjgwIEDGAwGsrKyiIqKokaNGpYORwir+3JrFGPmH6VLDX9WPdbCMsmqKZ/kdY+TtvMNXGsOJmjAn5KslhCVSo1fpym41ogkbftEMg9/b5FxXRy1LBvdnNaVfXho1iEWHo21yLhCCMubc+gqzb7aRmK2gbWPt+SNzjXkhPcfFEUhdcvzZB2dgmeT5/Fq9batQxJWpFKp0boGofWohNYtBN92H+PoXZOE5QPJu7rD1uHdpFVlHz7vXZflJxP4eNN5W4cj7tFtZ1izsrIsNuP59ttv89577+Hg4ICfnx/vvfcebm5ujBgxgmHDhqEoCuPHj0en01nkeEKUBEVReHfdWd758ywD6gczc3hjHO+hYbWimDHlJKIYczFmXKQg9TReLd/Aq8XrsleqhKnUGvy7/IZizCVl83OoHFxwr/vIPY/rqtOy4tEWdJu2m6EzDjJ/pJo+9YLuPWAhhEUYjCaeX3aS73deonVlb+aMaEIFT+np+E+KopC67RUyD0/Go9E4vNt8IJ9T5YzGyZugfquIW/AA8Uv7EDxwHbqARrYO6wbPtK7M7ug03lhzmuaVvOhY3d/WIYm7pFJuU1lk+PDhzJw5k7feeot33nmnpOMqEhMTQ8eOHdmwYQOhoaE2i0OIv1MUhRdXnOSLLRd4pGlFpkZGoNXcW7Kan3ycxOUDinqc+XefhS6wiU0bc5d3ZmMeCcv6k3d5A/7d/sCt5mCLjJuZV0CXqbs5eDWDhQ83o2edQIuMK4S4e5dScxg8/QD7rqQzoX0VPuxeG4d7eF8vqxRFIW3nG2Ts+wT3BmPx7fCVJKvlmDHrCnHzHsBckE1w5AYcfevYOqQbZBuMtPxmG0nZ+RwY345QL7kAVRrdNmF99NFHSU9PJzo6mmrVqgGFb1IqlYo5c+aUWICSsAp7YzIrjF14lGl7LvN068p83afePS8VM+rjixpyX6f1CCN48Da0rjIDZ0vmghzil/TEELuLgJ5zca3a2yLjpucW8OCUXRyNy2LJqGZ0rSVLvoWwlZUnExg5+xAmReHXwQ3pVz/Y1iHZrbTd75G++z3c6z2Gb8fJclFVUJAeRdz8BwAIHrQJB88qNo7oRqcTs2j+9TbqBXmweex997QaTtjGbRNWs9lMYmIib775Jm+//fYNLR4qVCi5YiGSsAp7UmAy88icw8w+dJVXO1bj/a61LHJlOT/tLFd/r3fT7RVHn0frIX3EbM1syCR+UTcMyUcI7LXIYpWaU3Py6TxlFycTslk+ujmdashyJSFKktFk5s21Z/ho43kahngwf2RTqvq52josu5W+9yPSdr6JW52R+HWeKsmqKJKfcoK4+Z1QO7oTHLkRrbt9nbPPPxLL4OkHeKZNON/0vfl8S9i3277TqNVqgoKC+P7779m0aRPTpk1j/fr1RdV+hShv8gpMDPx9P7MPXeXD7rWZ1K22RZLV3JhtFKSeKTU9zsojtc6DwH7LcfSuSeKKSHJjtllkXB8XR/4c04qa/m70+XUvm84nW2RcIUTx4jPzeHDqbj7aeJ7HWlRix7NtJFn9F+n7Pydt55u41hqGX6cpkqyKGzj61iWo30pMeSnEL+qKKSfR1iHdILJBCM+1q8Lk7ReZfeiqrcMR/1Gx7zZvvvkmly9fpnXr1ly9epXXX5eS5aL8yTYY6fnzXpafTGByv/q8/EA1i4ybe3kjCUt6kX16DgE959/Q4yyg10KpDGxHNE4+BPVfjda9EglL+5AXt9ci4/q6OrLuiZZU8XGl18972RqVYpFxhRC3tyUqmcZfbmXP5TR+G9KQqZENcHbQ2Dosu5Vx6FvStr+Ka41I/B+chkotvytxM11gY4L6LMWYdYX4Rd0x5aXZOqQbfNyjNm3CfXh83hFOxGfZOhzxH9x2SfB114svXTdkyBDZwyrKlbScfHr8vJe9l9P4ZXBDRjataJFxcy6uIXFFJFrv6gT3X4Pa2a/wiqQpHzSOaFwC5Aq2HTJmXyVufkfMeakEDfgTXUBDi4ybkGXg/h92ciU9l7VjWnJfZR+LjCuE+IvZrPDJ5vO8vvo01f1cmTeyKfWDPWwdll3LPPIjKZvG4VKtLwHdZqLS3HvrNlG25USvI2FZP3T+jQjqvxq1o5utQyoSm5FHk6+24uWkZc//2lqkFaG9M5sVEvUGDEYzOq2aAFddqWvTVezZsMFgIDc3F4C8vDxMJpPVgxLCXiRmGXjgx10ciEln3simFktW9VHLSVgxEAffOgQPWFeUnBb1OHMNkmTVTmndKhDUfw0qBzfiF3cnP/WURcYNdNex4clWVPB0ottPe9gTbV9XpoUo7VJz8un76z4mrjpNZIMQ9v6vnSSrxcg89nNhslqlBwHdZkiyKu6IS1hnArrNwJCwn4TlAzAb82wdUpEQTyfmPNSY8yk5PDbvCMXM25V6ZrPC8fhMWn2znfBJG2j1zXaOx2diNpeu513sGfHIkSPp06cPTz/9NH369OGRRx4pgbCEsL2Y9Fzaf7+Ds0nZLBvdnP4WqhqpP7eQxJWD0fk3JKj/WjTOvhYZV5QcB8/KBA9Yg0qlIWXrKxRkRlOQeRmjPh5FMd/1uMEeTmx4shUBbo50+Wk3+6+kWy5oIcoQRTFj1Mff8etu/5V0mny5lbVnE/m2Xz1mDW+Mu9NtW9ELIOvEH6RseArnyl0J6D4HldRUEP+Ba7W++D84jbwrm0laNRTFVGDrkIq0r+rHB91qseBoHF9tu2DrcKwqUW+gz6/7iE4rnHyMTsulz6/7SNQbbBzZf1PskmCA9PR0rly5QmhoKN7e3iURVxFZEixsISpZT6cpu0jLLWD56Oa0rWKZpDL79CyS1o5GF9yKoD5LUevk6n5plp92HlN2DMnrHi/qnxvQayGOfvXuaYb8cloOHb7fSXqekQ1PtqJRBU8LRi1E6XarvtW3e90pisKPu6IZv/QEQe465o1sQvNKJXseUxpln55F0ppROFXqSGDvRai1TrYOSZRSmUenkrLxmcL9z13/sJv9z4qiMPD3/Sw7mcDGJ1tZ7DzP3lxM0VP1w4033/5aR8K8XWwQ0d25ozMqLy8v6tevX+LJqhC2cCI+i3bf7yDbUJgsWOpNLOvE74UnABXaEdR3uSSrZYDa0a0oWQUwZkaTuHzAPVdHrOTtwsax9+Gh09J5yi6OxmZaIlwhygRTTmJRsgq3f91lG4w8NOsQTy86RqfqfhwY306S1TuQfXY+SWtH4xTansBeCyRZFffEI2IM3m0+RH92PskbnrKbJbgqlYpfBjekio8LQ2YcID7TfpYtW8q+y+mcSswmzNv5htvDvJ3RlbJetKUrWiGsbP+VdNp/vwOAzU+1pkmol0XGzTz6E8nrHsc5rDOBfZfaVQECcfcUU37RSfN1xszowsJZ96iyjwsbx7bCxUFDpym7OB4nSasQcPvXnTk3mYL0KABOxmfR4uttzD18lfe71WLZ6Ob4usqS1uLozy8hafVIdCH3EdhnMWqH0jMDI+yXV9Pn8WoxkewTv5K69UW7SVo9nR1Y8HBT0nMLGDLjAEbT3W/psSeKovDdjou0+W47U3dFs+DhpkVJa5i3M0tHNSPAVWfjKP+bYhPWn3/+uSTiEMLmtl1IoeOPu/DQadn6VGvqBrlbZNyMQ9+SsvFpnMO7E9BrAWqtc/EPEqWCSuN4y/65igX68wJU8XVlw5OtcNCo6DRlF6cSpAy/KN8URcGkj73l664gPYqY32pzYmo9pk97gkDDcdaNacHEjtVLXUVMW8i5sILEVcPRBTUr3LLiID1pheV4tXwLj4bPknnoG9J3v2vrcIrUD/ZgysAGbL2QysTVp20dzj3LyjMyfOZBnl18nM7V/fl5cEMahXiya1wbLr7WkV3j2lAvyKPUvScWm7Bu2bJFKgOLMm/tmUS6/rSbEA8dW59ubbHm8en7PyN1y/O4VOtLYM95srSqjNG4BBDQa+EN/XP9Ok8ldeuLGLNjLXKM6v5ubHzyPlQqFR1/3MXZpGyLjCtEaaMoCqnbXiF1ywv4d/3jpr7V+DZig9cEjqY68KjbIn52f56qm5uTvOEZci6tRTGWriIjJSnn0loSVg7B0T+icMuKo2Uu2ApxnUqlwqf9Z7jVHUX6nklkHPjC1iEVeahJKE+2CuOzzVEsOhZn63Du2on4LJp/vZV5R2KZ9LeVJWq1iiB3J8K8XQhydyp1ySrcQdGlXr16kZKSQmhoKCqVCpVKJX1YRan3955UeoOJMQsOk5NvZs3jLQlwt8wyibQ9k0jf9Q6uNQfj3+VXVGqpSFkWKYr5hv65Rn0C8fPvR+sWTNCAdWjdQixynJPxWdz/w04cNGo2P3Uf1Sx0UUWI0kBRFNJ2vknGvo/xaPAU3u0/x5ybVPS6SyzwoPev+zl4NYOX7q/GO+39yL+8hpwLy8mNXodSoEfl6I5L2IO4VO2Fc+VuaJxkPytA7uUNJCzti4NPbYIGrJXfi7AqxWwiac1I9Gfn4/vAd3hEPG7rkAAwGE20/24npxKz2fdcW2r4l66tW9MPXGHsgmO4O2mZNbwx91fzs3VIFlVswnr16tWbbqtQoYLVAvonSViFpV3vSXW9zHeYtzO/D2lEgxAPPJ3vvcecoiik7XqLjL0f4VZnJH6dpthNVTxRMvJidxK/uCca1yCCB663WNJ6PC6T+3/YiYujhs1jWxPuK/vLRPmQtvt90ne/i3u9R/Ht+B2KovrromO+if8tPs6Bqxn8NqQhvesG3fBYszGPvCsbyYlaTs6FFZhyEkCtxalCW1yq9MKlai8c/rHEuLzIvbKFhKW90XpVLewJLm3WRAlQTAUkrIgk9+Jq/Lv8glvt4bYOCSis0N/ky60Eezix69k2uOrsf6Ihr8DE/5Ye56fdl2lXxYfZDzUh2KPsreYrNmFNSEjg008/JS0tjS5dulCzZk0aNGhQUvFJwiosLj4rj1bfbC/qSQWFm9B3jWtDkPu9vcivL1nLPPgl7vUew7fj5HtqbyJKL2slrYevZhTutXbSsnnsfYT5SNJalvx99YdOqybAVVcql29ZUvq+T0jb8XrhBcDOU1EU1U0XHX8b0pCqvq6Eev17jQBFMWOI30dO1FJyopZTkHYGAEf/BkXJq6N/Q1QW2oduz/Ku7iB+SU+07pUIHrgOjUuArUMS5YjZmEfC0j7kxWwloMdsXKv1tXVIAPx5JpFu0/YwvFEFfh/ayK7fCy6k6In8Yz+Hrmby0v3VeL9rTbSasnnOWeyzeuONNxgwYAD5+fk0bdqUSZMmlURcQlhFQpaBhCzDDckqFDZSNhjvrTqcophJ3TyezINf4tHwaXw7fifJajnmFHIfQf1WYNLHE7egE8bsm1er3I2GFTxZ90RLMvKMdJyyiyvpucU/SJQK11d/tPpmO+GTNtDqm+0cj8/EbLaPipq2kHHwa9J2vI5rzSGFq1VUahL1hqJkFQrfvx+ZcxitpvgTS5VKjVNwC3zafEDow8cIffg43m0+ROXgSvqeScTOasGVX6qTsuk5ci9vQDEVWPsp2kRe3B7il/ZG61ahcBmwJKuihKm1TgT2WogusCmJqx8iJ3qdrUMC4MGaAbz9YE1mHLzKj7uii3+AjSw9Hk+TL7dyMTWXpaOa8VGP2mU2WYU7SFgNBgOtWrVCpVJRpUoVdLrSVQZZCCiclRo95zBh76/nQkqOxXtSKYqZlA1Pk3nkezybTMCn/Rd2fVVOlIwbk9bOFktaG4d6sfbxliTr8+n44y6uZkjSWhYkZt+ciPX5dR+J+vJZLCjzyA+kbn0Rl+r98e/yCyq1hr2X07iclmuxi44O3jXwavo8IYM2U2nMFfw6T0XnH0HW8V+IX9SNy1NCSFw9kuyz8zEbykZrKUPCAeIX90DjEkjQgD/RugYV/yAhrEDt6EZg32U4etcicflA8q7usHVIALzWsTrdawXw3NLj7L2cZutwblBgMvPSipP0+20f1fxcOfBcO3rVLfuv4WLP0B0dHdm2bRtms5nDhw/j6Ch9zETpYDIrLDkex/3f76Txl1uZfzSWx1pUolEFD5aOamaxnlSK2UTyn4+RdfxnvJq/Wni1XpJVcU1h0rrS4klrs0perH6sBfFZeXT8cVeZbHpe1mXlGdl4LpkPN5yj7697OZ+it8rqj9Io89g0Ujb9D5cqvQjoOp3DcXp6/7yXlt9sJyHbYPGLjlBY9du97iME9l5EpSfjCOg5H5dqfci9vJ6kVcOJnhJM/OKeZB6ZYrHXcUkzJB4iflE3NE6+BA9Ya7GtCkLcLY2TN0H9V6F1r0j80j4YEg7aOiTUahV/DGtEBQ8nIv/YT7KdXDSMzSj8vP9scxRPtgpj29Plp5ZFsXtY4+Pj+fjjjzl79ixVq1blxRdfpGLFiiUVn+xhFf9ZRm4Bv+y7zOTtl7iYWjib+kzrcB5tUQmva0WVLLVPTDEVkLR2FPqz8/Bq9TbeLSZa+umIMiIvdlfhrIZrEMED16F1s0zxuu0XU+j20x4qeTmzaex9FqtyLSzLbFY4nZjN7stp7I5OY8/lNE7EZ3F9tW9Nf1d+GtSAEbMO3bS//ocBEcRnGRjeuAIOZXjJ13VZJ/4ged3jOFfuSlLTaby9/hKLj8fj7ezA8x2qMq51OBdS9TfsYV06qpnVegsqZhOGuF3oo5aTE7UMY0YUAI6BTXCp0gvXqr1w8K0HKJhyElFM+ag0jmhcAuxqW0h+8jHiFjyIysGV4IHrcfCsbOuQhChizIohbt79mAuyCY5cj6NvXVuHxIGYdNpM3kG7Kj6seqwlGhvWE9hwLonhMw+SbTAxNTKCYY3LV05UbMIKcPr0aS5dukT16tWpWrVqScRVRBJWcafOJ+v5dvtFft13mWyDibbhPoxrG06fukFWWdevmPIL912cX4J3mw/xavq8xY8hypa82F3EL+mJxiXQoknrlqhkuk/bQ1VfVzaObYXfXa4WEJaTrDewJzqdPZfTrv1JJzPPCICXswMtK3nRIsyblmHeNK/ohbeL4y0rmM8b0YRvtl9k5sGrVPRy4vn2VXmsRSVcHO2/euXdyD49m6Q1j2AKbM/bBW8z62gKHk5axrerwnNtqxRVcrdVcSpFUShIPVlYcThqOYaEfQA4V+2LV5PxJK0ZiTEz+lpv2AU4eNdGrbXdyrTrbbeUgmzyU8+QeWwafu0/w8GrZM/lhLgTBelRxM1/AIDgyI128f902p5oxsw/yuudqvNu11olfnyzWeGDjed4e+0Zavq7MX9kU+oElb8+ycUmrN9//z3btm2jfv36HD16lK5du/LII4+UUHiSsIp/pygKm86n8PW2C6w4lYBWrWJIwwqMaxtOk1Avqx3XbMwjceUQci+uwqfDl3g2fNpqxxJli7WS1o3nkun58x5qBrix4clW+LjI9o2SUmAyczQus3DmNDqN3ZfTOZ+sB0CjVhER7E7zSt60rFSYoFb3c71tcnWrREylgtWnE/lo43m2X0zFz9WR/7UN5+nW4UWrRsoC/bmFJKx6iEvaBvSKfgGNgwv/a1uFCe2q4G2n/5+N2bHkXFiJg3cNktc9hjHzryItWo8wfNp9RuKqoai0Lqi1Lqi0zqgcnK99X/j3rb93vnb/f3zv4IJKUzhG0ffXH6fR3bAdRVHM5CcfJ3H5gL+S6J7zcPRvYFczv0L8XX7KSeLmd0Tt4EbwoE1o3W177q8oCo/OO8Jv+66wfHRzetQJLLFjp+jzGTn7EKtPJzKsUQV+HBiBWylotWMNxSasQ4YMYdasWajVaoxGI8OGDWPevHklFZ8krOKW8gpMzDp0la+3XeBYXBb+ro48eV9lnmwVZvX+U+aCHBKXR5J7eR2+Hb/Ho/5jVj2eKHuslbT+eSaRPr/uY1CDYCZ1q41JUaQ1ihXEpOey53Iau6/NoO6/kk7etX2mQe46WoV5F86eVvKmSainRXv5bb+YwkcbzrPqdCLuOi1PtgpjfLsqBJXyvnsXDs/HvHkkhwzVeSrjLR5tXYcXOlQpNasFCjIvE/NLtZtuDxm+H/3ZeSgFuSjGXMzGHBRjDooxD6Ug5zbf54L5bqoTq64lxIWJrl/H70jZ+MxNSXTw4G1SaEnYNUPCQeIWPojWNYjgyI02r2KdW2Ci9beF7RD3P9euRPaN7olOY9D0/SRk5fNVn7o80SqsXNdHKfZT1MfHh9zcXFxdXSkoKMDHx6ck4hJ3yWQyka9PRGU2oKh1OLoGoNFobB2WxcRl5vH9zktM2RVNsj6fiGAPfh7UgKGNKuDkYP3nac7PJmFZP/JituLXeRrudUda/Zii7HEKaUVQ35XEL+lB3ILOFktaH6wZwPonWpJnNNP2ux0lsr+vNLuTZaU5+UYOXs0oTE6j09h9OY2rGYUFrnRaNU1CPRl7X2VaVPKmZZgXFb2crXpS0SbclxWP+XIkNoOPN57n8y1RfLP9Io80q8iLHapSxdfVase2hujUHGav/I1+yS9wqqAqB2r+xImODUvdXmyVxhGtR9hNyaHGJQCf1u//5/EUU8HfEtzcwqS2IBfz9a+v3W4uuP6zHBTT37435qJx9rshHqDwe1P+PT9fIaxJF9iYoD5LiV/cnfhF3QkauA6Nk7fN4nF20LDg4aY0/WobkX/sZ/szra12zqkoCpN3XOKF5Seo4OHEjmdbW3XFYGlx2xnWwYMHo1KpSElJITc3l5o1axIVFYWXlxdLliwpsQBlhvXOmUwmDMnHSVk5sGj5j2+PBej86pX6pHX/lXS+2XaBuUdiMZoVetcJ5H9tq9C+qm+JXXEyGzKJX9obQ9we/Lv8glutoSVyXFF25cXuJn5JYXuJ4AF/WmTpU3xWHq2+2X5T4Z5d49oQ5F66Z+Es6Vb7RZeMaoaXk5ZtF/8qjHQkNhPjtcpIVXxdaFnpr9nTBiEeON5jZdp7dT5Zz6ebz/P7vhhMisLgBiG8/EA16gd72DSu4sSk5/LBhnOcOryMH3w+JF1XlUqRfxLiXzpn/m65/LbXQhz96tls+a1RH0/c3LYywypKrdzo9cQv64vOvxFB/VehdrTt3s3lJ+Lp8+s+Hm1RiZ8iG1h8/My8Ah6fd4T5R+PoVSeQ34Y0tNvtECXttgnr1au3L9leoYJllq/dCUlY71xuZhzJC9rd9OHk2XM5+9O8aBDqg69r6fmPbzSZWXI8nq+3XWDHpTTcdVpGNa/Is63DqepXsrMIprw0Ehb3xJB0iIBuM3Ct3r9Ejy/KLksnrdFpOYRP2nDT7Rdf60iYd/kof38nbpfYf9G7LgN+34+7TkvzSl7XZk69aVHJC383+531i83I44utUUzZFY0+30TP2oG80rEa91W2r1VRcZl5fLTxPFN3R9PU4Rg/+03Cwas6lQavR+NkX7H+V9cLHGHKBzuoEmyPSbQQ/5X+/FISVw7BqUJbAvsuQ6217YXX11af4sMN55k2qAGjm1ey2LjH4jKJ/GM/USk5TOpWixfaV5VVUX9T7B7Wo0ePsnLlSgyGv3oQvf3229aOq4gkrHcuN/U88X/Uuen2oIHrOTOvD9vyGnJE1YIsvw5UqRBGRLAHDYI9qOHvapUquncrLSefaXsu892OS1xOz6WKrwvPtglnVLOKeDiVfIERU24y8Yu6k596ksAec3Cp0rPEYxBlmyWT1tslYisfbVEuKwvezu0S+2MvtEdRoHagu01bGNyt1Jx8Jm+/xLfbL5CSU0C7Kj682rE6D9bwt+n+p8QsAx9vOs8POy9RYFZ4PSKFkenP4eBRieCB69G4+NsstrLM3pJoIe5G9ulZJK0ZhXN4NwJ7zkelsV2xOZNZoetPu9lxMZUdz7ahUQXPex7z931XeGrRUTydHJjzUBPaVfW1QKRlS7EJa7du3Xj88cfx8PhreVGnTp2KHTglJYX+/fvzyy+/oNVqeeWVV1CpVFSvXp233noLtVrNvHnzmDNnDlqtlrFjx3L//fffNI4krHcmP/UM+elRpG3+381VCnsu4dyWj9AlbMDJmIxZUXGsoBobcxuzJa8x55Rq1An0JCLEozCJvfZ3Sc/GnknM5pvtF/l93xVyCkzcX9WXcW2r0LNOoM1OHE36BOIWd8OYdp6AXvNxqdzFJnGIsq8oaXUOKNzTepdJ662Wuv4+pBEvrzxJl5oBvNm5Rrm/altgMnMgJp2hMw6W2aXTeoORn/Zc5ostUcRk5NGoggevPFCd/vWDS/T9NEWfz6ebo5i8/SJ5RhMjmoTyesNMNBv7o3UNImjgBlmeKoQoVubRn0jZ+DSuNSLx7/oHKrXttrolZhlo8tVWHDVq9j/X9q6X7eYWmBi35Dg/77nM/VV9mTm8cakvoGctxSasTz75JD/++ON/GrSgoIDnnnuO8+fP8/333/Ppp58yatQoWrRowZtvvknbtm1p2LAho0ePZuHChRgMBoYNG8bChQtxdLzxH10S1uLlp5zg4pzOqHwjqNB+Eqmrh9xyD6uimMlPPEzOpdXoL6wmP2EfKhRyNL4cphkrMxuwIr0u2UrhctsKnk40CPagfkjhTGyEFWZjFUVh3dkkvt52kdWnE3HUqBnWuAL/axtOg5B7v2p1L4zZscQv7IIx6wqBfRbjXPHmCypCWFJe3B7iF3e3SNL692JCXjotTy06zm/7r9C/fhC/DWlUbkvjx2XmMeiP/RjNCp/3rsvwmQfLdHGqfKOZGQdj+GTTec4m6anh78qLHaoxokmoVfffpuXk88XWC3y97QL6fBNDG1bgzQdrEGY+S/zCLqid/QiOXG+xCtlCiLIv48AXpG57Bbe6j+DX6UebrhbYHZ1G++930KVGAEtGNfvPnxtRyXoi/9jP4dhMXu1YjXcerGlXqx3tTbEJ6+LFi9m6dStVq/7VvPeZZ57510Hff/992rdvz9SpU3n77bd55JFH2Lp1KyqVivXr17Njxw7atGnDli1bePfddwF4+umneeKJJ4iIiLhhLElY/50h6QhX5nchJVfhK6ev+HXMQJTcZFTmfBS1479WCTblJJETvZbci2vIjf4TsyEdVFpyvJsS5dSGLXmN2ZDkx8mE7KKiIzqtmrqB7kSE/DUT2yDE4197Pt6qEmee0cSMg1f5ZtsFTiZkE+iu46n7KvNEyzC7qA5pzLpC3MIumPTxBPVdhlOFNrYOSZQTlkpa/0lRFL7adoEXl5+kXpAHS0Y1o7JP+drTuu1CCoOnHyAzz8i0QQ0Y1CCk2CrBZYXJrLD4WBwfbTzPwasZVPB0YkL7KoxpEWbRtjsZuQV8ve0iX26NIiPPSGREMG89WJM6Qe4Yko4Qv+BB1DpPggeuR+thuf1fQojyIW3XO6TvmYRHw2fxaf+ZTbc6TN5+kXFLjvN+t1pM7Fj9jh+3+Fgco+YeRqNS8cfQRiXa27W0KvZTatasWXTu3PmGJcH/ZtGiRfj4+NC2bVumTp0KFJ4oXf8P5erqSlZWFtnZ2bi7/7WfytXVlezs7Lt5DuWWIeEgVxd2JTlXy0TTxywYNQAnBwdwCL6jx2tc/HGv/RDutR9CMRsxxO0h59JqHC+upn7sZ9QHnvMKQ9egC0le7TlsbsChhAKOxWWy6lQCv+27UjTWP2djG4R4UN3PFbVKddPyxFnDG/P22jOsO5dMowoe/D60IYMahKDT2kcl44KMi8Qv7II5L42g/qtxCm5h65BEOeIU3IKgfquIX/y3ljcWSFpVKhXj21WlbqA7Q2YcpPnX25g/sgntq/pZIGr7pigK32y/yIvLTxLu48K6J1pR99p+3rKw/PdOaNQqBjYIYUBEMOvOJvHhhvM8v+wkk9af49k24TzbJvxfLzwWJ9tg5NvtF/lscxRpuQX0qxfEWw/WJCKk8NwhP+UE8Yu6oXJwJWjAWklWhRB3xavlm5jzs8g89A1an1q4Vu2FYspHZYM92k+3rsyu6DTeXHOa5hW96FTj3/fiF5jMvLLyFF9uvUCzil7MG9GEsHJ24fhuFTvD+thjjzFt2rQ7HnD48OGoVCpUKhWnTp2icuXKnDx5kpMnTwKwfv16du7cSevWrdm2bVtRAaenn36aJ598kvr1698wnsyw3lpe3B7iFvckPs+JJzPfY9EzkRatnGvMiiHn0hpyL64m98pGlAI9Ko0TThU74FK5K87h3UhVh3AkNoMjsZkci8vkSFwmp/42G+ukVbN0VDPGLDh60z6x34c0QqWCNuE+dtUIuSDtHHELu6AYcwjqtwpdYGNbhyTKqcKZ1h5onP0JHvgnWveKFhv7bFI2fX7ZS1RKDt/0rceT91W22Nj2JttgZMz8I8w5HEvfekH8Orghns62K9hhT3ZdSuWjjedZfjIBV0cNY1qGMaF9FSp4Ot/xGDn5Rr7bcYlPN0eRrM+nZ+1A3u5Sg8Z/6xuYn3qG+AWdQKUmeOB6HLzvfCZCCCH+SVEU0vZ9jHNQc5LXP2HTKtjZBiMtv9lGYnY+B8e3I9Tr1u+fMem5DJ1xgB2X0ni6dWU+61XHbiZqSoNiE9YXX3wRZ2dn6tSpU5RYDB48+I4GHzFiBG+//fZNe1hbtmxJs2bNGD16NAsWLCA/P5/IyEiWLl2KTnfjclBJWG+Wd3UH8Ut6EV/gwdCEt5kxpjetw63XDkAxGsi7uo2cS2vIubgKY/p5ABy8a+Ic3h2X8K44hbRGpXEk32jmVGIWR+MyORKbyaAGIbT8ZvtNY9pji4381FPEL+iCopgI7r8aR/+I4h8khBVZM2nNyC1g+MyDrDqdyJOtwvi6bz0cytj+mbNJ2Qz4bT+nErN4v1stXupQrcwu+b0Xx+My+XjTeeYcjkWjUjGyaSgv3V+Nav9yETS3wMSUXdF8vOk8CVkGutT0550uNWleyfuG+xWknyduficUxUjwwPU4+tSy9tMRQpQD9tRn+ExiNs2+3kq9IA82j73vpvoA684mMXzmQfKMJn6KbMDghrJ3/78qNmGdPHnyTbcVt4f1uusJq1qt5o033qCgoIAqVarw/vvvo9FomDdvHnPnzkVRFJ544gm6dLm5AqskrDfKvbKZhKV9SVT86X3ldb4c2omhjUr2P35B2rlrs69ryL26BUz5qBzdca7UEZfw7jhX7oLWtXBZcnxWHk8tOMKEFh4EuqhIyFH4Yk8m3w9sYFdL8fKTjhK3qBsqlYagAWtw9L25PZAQtmDNpNVkVnht9Wk+2XSe9lV8mTeyiV33Gv0vlh6P5+E5h3DUqJk1vHGxS7UEXEzJ4dPN5/l13xUKTGYiG4Tw8v3ViAj2KNrr66hRs+1iChOWniQ2M4+O1f14+8Gat7xoWpBxibgFHVEKcggeuA5Hv3o2eFZCiLKoIPMyMb9Uu+n2iqPP22TLwYIjsQyafoBPetTmoaahhbURNGpWnIzniYXHqBPgzvyHm1ArQNrL3Y1iE9bY2NibbgsJCbFaQP8kCetfcqLXkbhsAKnaULpcfJXnHmzBa51q2DQmc342uVc2kXtxNTmX1mDKjgHAMaBR4dLhagMwKwopKwfesnKxPTAkHircW6V1IXjAWlmuJuxOXtzea4WYLJ+0Asw8GMNj844Q7K5jyajmRfsOSyOTWeGNNaf5aON5mlX0Yv7IJlSys9Uc9i4+M4+vtl3kh52XqBPoxic96zBy9qGiOgTTBjVg/uFYhjaucNs90MasK8TN74jZkEHQgLXoAhqW7JMQQpRp9jTDet3XW6OoF+zBY/OO3PB+uf1CCi90qGbRAnf/xfV+zLba62sJxSasgwcPRqVSYTabiYmJISwsjNmzZ5dUfJKwXpNzcRUJKwaR7VSV+8+9SO/G9fh5cAO72v+pKAoFyceuLR1ejSFuFwE95pK69YWb3lACey+mIO0sKq0zKq0TKs21v699r9Y6X/vaGZXa8i/w6y9ec34WBalnyDrxO77tP8HBM9zixxLCEv5KWv2uFWKybNK673I6/X7bR0ZeAb8PbUT/+ndWvM2eJGUbGD7zIOvPJfN4y0p83aceTg72cWGsNErPLSAqWc/AP/bf3K/22Ta37RdozI4lbkEnTDmJBA9Yiy6wSUmFLIQoJxTFTH7ycRKXDyiaEPHrNIWc6PV4t3oTtbbkV/HFZeZx37fb/9P7pbXd6vdki72+96rYTGDu3LlFX2dmZvLmm29aNSBxM/35JSSuGo7BvQ4dz0ygQXgYPw6MsKtkFQqrkDr6R+DoH4FXs5cw5aVh0sffkKwCGDOjMeWlkrhyyB0OrPkredU6o9bqriW4zn8lvEXJrjNqzY3fqzQ3JsJql0DUDi4krvyrX21Az/loPcKs8FsRwjKcgptfqx7c/W/Vgy2XtDar5MW+59rS/7d9DPx9P289WIM3OtUoNXs+911OZ+Af+0jMzmfaoAaMbi5VaO+Vl7MDfm6ON5x8AUSn5WIwmW/5GJM+gfjrLcH6rZJkVQhhFSqVGke/egQP3gamfNA4kntlC5kHPiM/fg8BvRaicfIq0ZjyTeb/9H5ZEkw5iUXJKhSegycuH2DTmei78Z+mrtzd3bl8+bK1YhG3kH12PkmrR2L2acSD557Hz8eHBQ83tWrDd0vROHmjmAxoPcJummHVuleiwvD9mI15KKY8FGPuX39MhqKvzcbrP7v299/ue/2x5tyka7cZ/jFO3i3jCug5n+Q/R9/44l0RWepevKL8sXbSGuzhxKax9zF24VHe+fMsx+Oy+HVIQ9xstIzpTiiKwrQ9l3l28XGCPXRsf6Y1Tf5WoVbcG51WTZi3800zBrpbfAaZcpOJW9QVY9YVgvqtwCmkZUmGKoQoZ1Qq9Q3nbe61BqNSQdLa0cQteICgvivQupXcNsb/8n5ZEhRTPqbsuFtOHGHKt0lMd6vYs5DrS4IVRSE1NZVWrVqVRFwCyD41k6Q/H0Ud2JLeF5/HoHJk86PN8b6HXnklTeMSQECvhTctRdB6VLL6UgRFUW5Ifq8nuyq1Y5l48YryySm4OcH9VxO3qFth0jrgT4sWmHBy0PDL4IZEhHjw4vKTnJusZ8moZlS2w15xuQUmnll8jF/3XqFLTX9mDGuMr2vpeX8sDQJcdSwd1eyGXtpLRzUjwPXG4lymvFTiF3XDmB5FYN+lOFVoY6OIhRDlmVvNwWic/UhYHknc3PYE9luBo0/NEjn2nb5flgSTPoGElYPxbDz+lhNHaErXZ2Wxe1ivXr1a9LVOp8PPr2SbzJfXPaxZJ34jed0TOFZoz8j4F9l1NZ+NY++jZZh38Q+2M9f3i15fsmHrzd72uFFfiP/KEL+PuEXdCve0WjhpvW7tmUSGTD+Ag0bNgpFNaVfV1+LHuFuXUnMY+Pt+Dl7N4PVO1XnrwZpoSsny5dLGbFaKqgTrtGoCXHU3LBU3GzKIW9SV/ORjBPZahEvlB20YrRBCXCuouaQXmE0E9lmKU3DzEjluce+XJcGQcJCE5QMx56Xg33MBWtfAUr+H9bYJ65IlS277oL59+1opnJuVx4Q18+hUUjY+g1Olzrysn8iMI6nMHdGEyAYlt6yhLCsrG9CFMMTvI35Rd9TOvlZLWs8mZdPnl71EpeTwbb96PNGqssWP8V+tPZPI8JkHMZkV/hjaiF515UKTrZjzs4hf1B1D4kECe87DpUoPW4ckhBAAFKRHEb+4JyZ9HAE95uAS3tXWIVld9unZJK97ArVLAIG95qMLaGR3E0d347YJ6+eff37D94qisGjRIpycnNi4cWOJBAflL2HNODSZ1C0TcA7vzo8O7/Duxst80L0WrzwgrVYsqSy8eIWAkklaM3ILGDbzIKtPJ/JkqzC+7lsPB03Jv17MZoUPNp7jrbVnqBfkzsKHm1HNz7XE4xCFzAV64hf3xBC3m4Aes3Gt1tfWIQkhxA1M+gTil/YmP+kofp2n4F5npK1DsgrFbCJtx+tkHPgcXYU2BPaYg8YlwNZhWUyxS4IBoqOjeeWVVwgPD2fixIm4ubmVRGxA+UpY0/d/Ttr2V3Gp1pc1/h8yav5JRjevxE+R9lcRWAhhP4qSViefwkJMVkhaTWaFiatO8enmKDpU9WXeyCb4leC+nPTcAkbOOsSKUwkMb1yBKQMjcHG032JQd6u09MszF+SQsLQveVe34t9tOm41Im0dkhBC3JI5P4uEFYPIu7wB7zYf4Nnk+TJ1Xm3KSydp9Qhyo9fiHvEEvu0/R1XK9qgWp9hPwZkzZ/L4448zZswYPvjggxJNVsuTtD0fkLb9VVxrDOJE9a95fOEpOlb344cB9cvUi0oIYXm6oGYE9V+FOS+VuAWdMWZavpq7Rq3i4551+GNoI3ZFp9H8q20ci8u0+HFu5WhsJs2+2sqaM4l807cefwxtVGaT1fzk48TNbUvML9WIm9uW/OTjKIrtWiLcitmYR+LySPJituD/4M+SrAoh7Jra0Z2gPktxrTGItO0TSd36ot29r96t/NTTxM65j9wrG/B94Dv8Hvi2zCWr8C8Ja0JCAqNHj2b//v3Mnz+f+++/vyTjKjcURSFt19uk73obt9rDSWk0mYEzjlDD35X5I5vaZNmdEKL0KUxaV2POSyV58/MUZF6mIPMyRn28RT+YH2oSypan7iPfpHDft9tZfCzOYmPfyowDMbT6dhs5BSY2P3Ufz7QJL7MX8Uz6hFv2yzPp47iDxVAlQjHlk7hyCLmX1+HXeQputYfbOiQhhCiWSuOIf7c/8Gg0jsxD35C05mGUUt4dIufCSmLntMFsyCB4wJ94RDxu65Cs5rZLgps1a4aDgwMtW7a86eTgn/tbraksLwlWFIW07RPJOPA5bnVHYW7+Jfd9twt9vpHd49raZRsJIYR9MySfwJybSPK6MVYtKhabkUf/3/ax90o673Spyeudqls0kcw3mnl++Qm+23GJdlV8mPNQE4I8nCw2vi2YC/QYM6MxZl7GmHW58Ousy0Xf+3f9nfgFnW56XNDA9cQv7ILayRuNkzdqnQ9qZ9+/vnbyRuNU+LfayeeGr9WOnqjUmnuK+69lygaMmdGkbZ+IW52ReESMuadxhRCipCmKQsaBz0nbPhGnSh0J7DkPtaO7rcP6TxRFIWPfJ6TtfBPHgIYE9pxvla1A9uS2a6q+++67koyj3FEUhdQtL5B5+FvcI57Apc0XdJqyh7jMPDY/dZ8kq0KIu6Jx9iVxWd+bZuks3bYpxNOJzU/dx5MLjvLW2jMci8vk18ENcdXd+1Ld2Iw8Bk3fz85LaYxvV4WPetS2+9UmiqJgNqRdS0hvnZSa81JufJBai9atIlqPSjhXfAC11uWW/fLUju54Nn0Bc14a5rxUTIY0TPo4ClJOYspLRcn/t6XZKtQ6r8Lk9ZaJ7d9u/0fyq1Jrb1lV3b/bDHRBzazzixRCCCtSqVR4NX0BjUsAyeueIG5BJ4L6LEPjGmjr0O6IuUBP8rox6M/Ox7XmYPw6TUHtUPZzhtueWTRvXjL9isojRTGTsul/ZB2dgkejcXi1+YRhMw+y53Ia80Y0oXml0tdrVQhhHxRT/g0JDxQmrVhh6ZOTg4ZfhzQkIsSDl1ac5FyyniWPNCPsHi64bYlKZsiMg2QbjMx5qAmDGlqvndd/KXCkKGZM+vhriejfE9K/vlcKsm94jErrjNa9ElqPMHSBTa99Xfi91r0SGtfgG2Y/FcVMQK+Ft2y5pQtodPvnYSrAbEjHlJfyV1Kbl1r4tSEV07XbzHlpmPJSKUiPKvzekA7cfqmxytGDgG4zSNn07A0XQJJWPyR9q4UQpZp7nZFonP1JXDmU2HkdCOq3AgevqrYO618VZEaTuHwg+UlHy2TxqH9T9qpW2DnFbCJ5w1iyT/yGZ9MX8G49iYmrTzP/aByf9KzDgAjptSqEuHsqjeMtZ+nMhgzrHE+lYkL7qtQJdGfojAM0/3obCx5uStsqvv9pHEVR+HLrBV5eeYqqvi5seKIVdYKst0zrlv2Ye85DMZsoSDl5c1KafeWmpF+t80brUQkHz6o4V3ygMBl1/yshVTv7/aeTCZVKjaNfPYIHb/tPLbdUGgc0Lv5oXPz/2+/AbMKcn3FDMvtXslt4m8bFv8QugAghRElyCe9G0IA/SVjah9h57Qnqu/xfLw7aUm7MNhJXDgZTAYF9luAS3s3WIZWoO2prY0tlaQ+rYjaS9Odj6E/PwqvFa3i1fJNf9l7h8flHGNMyTCoCCyHu2a0SMb8uv5C27VWcKnbA+753rdYm5UxiNn1/3UtUSg7f9a/P4y3D7uhx2QYjj807wrwjsfSrF8SvQxri4eRglRivM+rjiZvb9qbE3qfdZySuKKx6q3EN/mtW9Hoi+revS9u+p7txu9+TzLAKIcqK/NQzxC/ugTkvlcBe83Gu1NHWId0g88gUUraMx8GzSuGqG5+atg6pxEnCWkIUUwFJax5Gf24B3ve9g1fzV1l/Nonu0/bwQDU/lj/a3O73aAkhSofrS12vz9KpdT6kbv4fWcd/xrX6QPy6/Ixa62yVY6fnFjBsxgHWnEniqfsq82Wfuv/63nYmMZv+v+3jTFI2H3SvzYsdqpbIhbuC9AvE/FbrptsrjDyGSq1B61YRlbbk+szaq1vORFuhiJcQQtiSMTuW+CU9KUg9g3+XX3CrOdjWIaGY8knZPJ6sYz/hXLkbAd3+QK3ztHVYNiFLgkuAYsoncdVwcqKW4tP2IzybTOBEfBYD/9hPrQA35o5oIsmqEMJiVCr1TbNfvh2/x8G7OqnbXsWYdYXA3gvRuARY/Nhezg4sf7QFr646xWeboziVkMXckU3wc705+Vt0LI5Rcw6j06r5c0wrHqjuZ/F4biUneh2KKf/WBY50njJz+Dd3u0xZCCFKE61bCMEDN5K4fABJq0dgyknEs9GzNovHpE8gYeUQDLE78Gz2Et6t3rnniu+lmXziWJnZmEfCikGFyWr7L/BsMoGELAM9f96Di4OGFY82x9PZukvfhBBCpVLh2WQCAT3nkJ98lNg5bchPOWmVY2nUKj7pWYffhzZkZ3QaLb7ezvmkbOKz8ohOyyEuM4/J2y4w8Pf91A5w48D4diWSrCqKmbTd75OwuCfZp+cQ0HMeWo/CZcvXZw6tkcSXdtcvgGg9KqF1DZJkVQhRJmmcvAjstxKXan1J3fI8qdtfs0kPbEPCQa7ObkV+4kH8u03Hp/X75TpZBVkSbFXmghwSl0eSe3kdvg98h0fE4+TkG3ngh10ci89ky1OtaVrRy9ZhCiHKGUP8fhKW9Ucx5hLQc45V9+vsvZzGu3+eYUL7qjw67wjRabmEeTszbVAD9l9J57l2VdBprf9BbMpNIWntKHIvrcG11jD8On6HSut8w9JpmTkUQgihmE2F3TyOTcWt9gj8Ov2ISlMyk0vZp2eTvO4J1C7+BPZaYLdFoEqaJKxWYi7Qk7C0H3kxW/DrPBX3ug9jNisMmr6fxcfjWfhwU/rWC7Z1mEKIcsqYeZn4pX0oSDuD3wOTca832mrHupyWQ/vvdxKdllt0W5i3M7vGtSHI3clqx73OkHCAxBVDMObE4dv+C9zrPy4F7oQQQtyWoiik75lE+u53C/eP9piF2sHVesczm0jb8ToZBz5HV6ENgT3myIqfv5FLyVZgNmQSv7gneVe34t/lF9zrPgzAK6tOsehYPJ/1qiPJqhDCprQelQgZtAXnih1JXv8kqdteRVHMVjmWAjckq1z73mC0zvGKjqsoZB79idh57VFQCIncjEfEGElWhRBC/CuVSoV3y9fx7fg9udFriV/YBVNuilWOZcpLJ2FpXzIOfI57/TEE918jyeo/SMJqYaa8dOIXd8cQtxv/btNxqz0cgCm7LvHZ5ijG3leZ59pWsXGUQggBap0HgX0W4x7xBBkHPidx5RDMBTkWP45OqybM+8aqxGHezui01vsIMhfkkPzno6RsfBrn0A5UGLYHXVBTqx1PCCFE2eNR/zECeswlP+kIcfPaU/CPvtT3Kj/1NLFz7iP3ygZ8H5iMX8fJqDSOFj1GWSAJqwWZ8lKJX9QVQ+IhAnrMwa1GYS+/tWcSeWbxcbrVCuDrPnXl6r4Qwm6o1Fp87/8Gn3afknN+KXELOmHUx1v0GAGuOpaOalaUtIZ5O7N0VDMCblE52BIK0s4RN7ct2adm4tXyDQL7LEXj7GuVYwkhhCjbXKv1Iaj/akw5icTNbU9+8jGLjJtzYSWxc9pgNmQQPOBPPCLGWGTcskj2sN6D670OFVM+KpWa1O2vkXN+EQE95+ES3g2AY3GZtJm8g3AfF7Y93Rp3J+kkJISwT/qoZSStHona2Y+gPktw9KtnsbHNZoVEvQGD0YxOqybAVYdabfmLd/rzS0n681FUai3+Xf/ApfKDFj+GEEKI8ic/+Tjxi3uiFOgJ6L0I59C2dzWOoihk7PuEtJ1v4ujfgMBeC9B6VLJwtGWLJKx36VbN1P06T0WldcEpuAUAcZl5tPpmO0azwu5xbQj1ci5mVCGEsC1DwkESlvXDXJBNQPfZpSbhU8zGawUrvsAxsCkBPWbjcK1ljRBCCGEJBZnRJCzuiTHzEv7dpuNare9/ery5QE/yujHoz87HtcYg/DpPRe3gYp1gyxCrLAk2mUy8+uqrDBkyhOHDh3P58mVOnDhB27ZtGTFiBCNGjGDVqlUAzJs3j/79+zNo0CA2bdpkjXCswpSTWJSsAhgzo0leN6aop5/eYKTPL3tJ1uezbHQzSVaFEKWCLrAxIUN24OARTsLSPmQemWLrkIpl1McTv7ALGQe+wD3iCUIiN0myKoQQwuIcPMIIHrQZR/+GJK4cQubRn+74sQWZ0cTN64D+7AK8W0/Cv9t0SVbvkFXWp15PPOfMmcOePXv48MMPeeCBBxg1ahSjR//VOiEpKYnp06ezcOFCDAYDw4YNo3Xr1jg62v9mY8WUX5SsXmfMjAZTPiazwkOzDnLgagZLHmlG41Av2wQphBB3QeseSvCgTSSuHkHKpmcpyIjCp82Hdtm4PO/qdhJXDsOcn4Ffl19wr/2QrUMSQghRhmmcfQkasIbEVcNJ2fg0ppx4vFq8/q81anJjtpG4cjCKKZ/APkuKtg6KO2OVGdZOnTrx3nvvARAbG4ufnx/Hjx9n8+bNDB8+nIkTJ5Kdnc3Ro0dp1KgRjo6OuLu7U6lSJU6fPm2NkCxOpXEsmk29TusRBhpHXlpxkqUnEviyd1161Q2yUYRCCHH31I7uBPZagEfDp8k8+BWJKwZhLtDbOqwiiqKQceBL4hZ0RuXoRsiQ7ZKsCiGEKBFqB1cCe87Hrc5I0ne/R8rGZ1DMplveN/PIFOIXdUHj5E3IkB2SrN4Fq1UA0mq1vPzyy6xbt45vvvmGhIQEIiMjqVevHj/88APfffcdtWrVwt3dvegxrq6uZGdnWyski9K4BBDQa+ENe1gDei1k6XkTX269wDNtwhkn7WuEEKWYSq3Ft8OXaL2qkbrleeLmP0Bg78Vo3UJsGpfZkEHSusfJOb8El2p98e88DbXOw6YxCSGEKF9UGgf8Ov+ExjWIjH2fYMpJxK/bdBRDemFBVrUDWSenk77zdZwrd8O/6+9onLxsHXapZNWStR9//DEvvPACgwYNYs6cOQQGBgLQuXNn3nvvPZo2bYpe/9cVe71ef0MCa89UKjWOfvUIHrwNTPmgcWRvopbBM3bRs3YgX/aua+sQhRDCIjwbPo2DZziJq4YTO6cNgX0Wo/NvYJNY8pOPkbBiMMaMi/i0/RiPxs9JqzAhhBA2oVKp8Gn9PhqXIPRn5pAfv4/kP0f/VZC10xR8OnyNR8QYu9xWU1pYZUnwkiVLmDKlsFCHs7MzKpWKZ555hqNHjwKwa9cu6tatS0REBAcOHMBgMJCVlUVUVBQ1atSwRkhWoVKp0boGofWoxIkMZ7pO20uDEA9mPdQYjRXaNQghhK24hHcnOHIToBA3735yLq4u8RiyTs0gdk4blPxsggeuw7PJeElWhRBC2Jxno2fw6zSlKFmFawVZ1z+Ba/V+kqzeI6vMsD744IO8+uqrDB8+HKPRyMSJEwkODua9997DwcEBPz8/3nvvPdzc3BgxYgTDhg1DURTGjx+PTmedRvLWcL2vYE6+iZj0PDpU8eWHgRG46aTXqhCi7NEFNCRkyHYSlvYjYVk/fNt/gUfDp6x+XMVoIGXL82Qdm4pThbb4d5+J1lXqAwghhLAfKkf32xZkFfdG+rDeJbNZ4Xh8Jn1+3Ud0Wi5h3s4sfLgpDUM8UcvsqhCiDDPnZ5O0ZiQ5F1bg0fBpfNp9ZrWrxwWZ0SSuHEp+wn48m0zg/+3de2xUZRrH8d9Mp1NmptTSltIa6hi5mHLJxuKNcNO4AnIriNRSxVWjlWRl1QWC0SAmdJvWFmI0wFKRlDSyKJLAigmrghZXKy7FxYh2kV1pskqB1nYLpR077bt/kDZcDdA5c6bT7+e/mban7zO/nD55zpx5O2BcgRxOLgoCACJLsKVOx96ecN7Q6krwK/3BT7nI2kOW3BLcF5xoCXQPq5JU29iquZv260RLwOaVAYC1nO54pc7YqoRbnlHzP9fo+Htz1flL6DfMO3P0b/pp8x1qbzys1BnvKGlCEcMqACAidW3I2vVfRLo2ZI3xptq8st6Pzn+NAsHO7mG1S21jqwLBTptWBADh43DGKHlSiWITh6rhk2d0bOvdZ3cQ7t/zO2GM6VTTvj+p6YsCxaaM1KDpbyt2wLAQrBoAAGtcakPWGG+qHA7eH+wpXsFrFOdyyj/Ac95z/gEexbl4SQH0HQm/eUqDsneo/X//0U9bxitw4qseHa+jtV7Ht89S0xcrFZ/5kK5/8O8MqwCAXuHcDVldvjSG1RDhVbxGqb447Xjstu6h1T/Aox2P3aZUX+/ZNAoAQsF74xRdn/OJ5IzRsXfuVsu/37um4wTq9uvHzXeq9b+fKPmetUqZ/Kacsd7QLhYAAPQq3BJ8jZxOh0alJajqD+MVCHYqzuVUqi+ODZcA9EnulNFndxD+6/068d4DSppYooRbFl3Rv50xxujU12Vq2LtYLm+6rs+pVNygMWFYNQAAiHQMrD3gdDqU1r+f3csAgIjg8qUr/YHdOrnrd/p57xK1Nx1R8l2rf3WjpM72FtXv/r1aajbL45+igVPLFeNJDuOqAQBAJOOWYABAyDhjvUqd8bauG/NHnfr6zzq+Y446A82X/N72xsP6act4tdT8RYljV2jQ7B0MqwAA4Dy8wwoACCmHw6mkCUVyJQ5Vw55F+mnrXUqb/b7kcMh0/CJHjFu/NHyrEzvnyeF0a9CcnfL677V72QAAIAIxsAIALJEw+gnFJtyoxn+UqL3xX6r/8EkFm2vlSvAr5bfr5R1yv5LGLpcr4Qa7lwoAACIUAysAwDIe/2/lShyium2TFWyulSQFm2tV/9FTSs/ZK1d8us0rBAAAkYzPsAIArOWI6R5WuwSba6XOdpsWBAAAegsGVgCApRwxbrkS/Oc950rwSzFum1YEAAB6CwZWAIClYrypSp25rXtodSX4lTpzm2K8qTavDAAARDo+wwoAsJTD4ZQ7ZZTSH/xU6vhFinErxpsqh4NrpgAA4NcxsAIALOdwOOXypdm9DAAA0MtweRsAAAAAEJEYWAEAAAAAEYmBFQAAAAAQkRhYAQAAAAARKeI3Xero6JAk1dXV2bwSAAAAAIAV0tLS5HJdPJ5G/MB68uRJSdJDDz1k80oAAAAAAFbYvXu3Bg8efNHzDmOMsWE9V6ytrU3ffPONBg4cqJiYGLuXAwAAAAAIscu9wxrxAysAAAAAoG9i0yUAAAAAQESK+M+whsPBgwdVWlqqiooKHTp0SCtWrJDb7VZmZqZefPFFOZ1OFRQU6MCBA/L5fJKktWvXqqOjQ0uXLtXp06eVmJiogoICJScnn3fstrY2LV26VA0NDfL5fCouLlZSUpKqqqr06quvyuVyKTk5WcXFxfJ4PHaU32vZkdsHH3ygV155Renp6ZKkRYsW6fbbbw977b2dHdl9/vnnKi0tlcvl0tixY/Xcc8/ZUXqvZ2V2XT788EPt2rVLq1at6n6uvLxc9fX1WrJkSVjqjDZXkltlZaXWrFkjSRoxYoRWrFihQCBwyfPpXPQ5a9mRHb0uNOzIjl4XGlZm14VedxVMH1dWVmZmzJhh5s2bZ4wxZs6cOaa6utoYY8zq1avN9u3bjTHG5ObmmoaGhvN+tqioyKxbt84YY8xnn31mXnjhhYuOv3HjRvPaa68ZY4zZuXOnWblypTHGmMmTJ5uTJ08aY4wpLS01mzZtsqC66GVXbqtXrza7du2ypqg+wq7ssrOzzffff286OztNbm6uqampsabAKGZ1dsYYs3LlSjNlyhTz7LPPGmOMaW1tNYsXLzb33nuvKSkpsaSuaHcluZ06dcpMnz69O7eysjLT0NBw2fPpXPQ569iVHb2u5+zKjl7Xc1ZnZwy97mr1+VuCb7jhBr3++uvdj48fP66srCxJUlZWlqqrq9XZ2ana2lq99NJLys3N1bvvvitJOnLkiCZOnHje916ourpaEyZMkCRNnDhRVVVVkqSKigqlpKRIkoLBoOLi4qwrMgrZlduhQ4e0bds25eXlqaioSMFg0NI6o5Fd2WVmZqqpqUnt7e0KBAJs4nYNrM6u62svv/xy9+NAIKDZs2dr4cKFFlUV/a4kt6+++krDhw9XcXGx8vLylJKSoqSkpMueT+eiz1nHruzodT1nV3b0up6zOruu49DrrlyfH1inTJly3m5UGRkZ+vLLLyVJH3/8sVpbW3XmzBk9/PDDKikp0YYNG7R582bV1NQoMzNTe/bskSTt2bNHbW1tFx3/9OnT6t+/vyTJ5/Pp1KlTkqTU1FRJZ28H2Ldvn2bPnm1lmVHHrtzGjRun5cuX66233tKZM2e0ZcsWq0uNOnZld/PNN2vhwoWaNm2a0tPTddNNN1ldatSxOjtJmjZtmhwOR/fj6667TuPHj7ewquh3Jbk1NjZq3759WrJkid544w1t2rRJP/zww2XPp3PR56xjV3b0up6zKzt6Xc9ZnZ1Er7tafX5gvVBhYaHWr1+v/Px8JScna8CAAfJ4PHrkkUfk8XgUHx+vO++8UzU1NcrPz9ePP/6oRx99VMeOHVNaWppqa2u1YMECLViwQFu3blV8fLxaWlokSS0tLUpISOj+XeXl5XrzzTe1YcMGrjz3ULhymzt3rjIyMuRwOHTPPffo22+/tbPsqBCO7Jqbm7V+/Xq9//77+uijj+T3+7Vx40abK+/9Qp0dwuNSuSUmJmr06NEaOHCgfD6fbr31Vn333XeXPJ/oc/YJV3b0utALR3b0OmuEOjtcPQbWC1RWVqqwsFBlZWVqamrSuHHjdPToUeXl5amjo0Pt7e06cOCARo4cqf379ys7O1vl5eUaPHiwsrKy5Pf7VVFRoYqKCs2bN09ZWVmqrKyUJO3du1djxoyRJK1bt0779+9XeXn5ZT+MjSsXjtyMMZo1a5bq6uokSVVVVRo5cqSdZUeFcGTXr18/eb1eeb1eSWff+Wlubraz7KgQ6uwQHpfKbdSoUTp8+LB+/vlnBYNBHTx4UEOHDr3k+USfs084sqPXWSMc2dHrrBHq7HD12CX4An6/X/n5+fJ4PLrjjjs0adIkSdLMmTOVk5Oj2NhYZWdna9iwYXK73Vq2bJmks38UCgsLLzre/PnztWzZMs2fP1+xsbFatWqV6uvrtWbNGo0YMUJPPvmkJOm+++5TXl5e+AqNMuHIzeFwqKCgQE8//bT69eunIUOGKCcnJ6x1RqNwZOd2u/X888/r8ccfV1xcnPr376+ioqKw1hmNQp0dwuNyuS1evFhPPPGEJGnq1KkaPny4MjIyLjqfLkSfC59wZEevs0Y4sqPXWSPU2eHqOYwxxu5FAAAAAABwIW4JBgAAAABEJAZWAAAAAEBEYmAFAAAAAEQkBlYAAAAAQERiYAUAAAAARCQGVgAAAABARGJgBQAAAABEJAZWAAAAAEBE+j8imkxQ1JO7dQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "ets = AutoETS(auto=True, sp=12, n_jobs=-1)\n", "ets.fit(y_train)\n", "y_pred_ets = ets.predict(fh)\n", "\n", "plot_series(y_test, y_pred_ets, labels=[\"y_test\", \"y_pred\"])\n", "ets_loss = loss(y_test, y_pred_ets)\n", "ets_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AutoArima" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1714.4753259340698" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "auto_arima = AutoARIMA(sp=12, suppress_warnings=True)\n", "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "auto_arima.fit(y_train)\n", "y_pred_auto_arima = auto_arima.predict(fh)\n", "\n", "plot_series(y_test, y_pred_auto_arima, labels=[\"y_test\", \"y_pred\"])\n", "autoarima_loss = loss(y_test, y_pred_auto_arima)\n", "autoarima_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arima " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2085.4261177106437" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "manual_arima = ARIMA(\n", " order=(13, 1, 0), suppress_warnings=True\n", ") # seasonal_order=(0, 1, 0, 12)\n", "manual_arima.fit(y_train)\n", "y_pred_manual_arima = manual_arima.predict(fh)\n", "plot_series(y_test, y_pred_manual_arima, labels=[\"y_test\", \"y_pred\"])\n", "manualarima_loss = loss(y_test, y_pred_manual_arima)\n", "manualarima_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## BATS" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7286.648720912862" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "bats = BATS(sp=12, use_trend=True, use_box_cox=False)\n", "bats.fit(y_train)\n", "y_pred_bats = bats.predict(fh)\n", "\n", "plot_series(y_test, y_pred_bats, labels=[\"y_test\", \"y_pred\"])\n", "bats_loss = loss(y_test, y_pred_bats)\n", "bats_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TBATS" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7448.434672875114" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "tbats = TBATS(sp=12, use_trend=True, use_box_cox=False)\n", "tbats.fit(y_train)\n", "y_pred_tbats = tbats.predict(fh)\n", "plot_series(y_test, y_pred_tbats, labels=[\"y_test\", \"y_pred\"])\n", "tbats_loss = loss(y_test, y_pred_tbats)\n", "tbats_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prophet" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1186.0045566050435" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "y = load_airline()\n", "\n", "y_train, y_test = temporal_train_test_split(y, test_size=23)\n", "z = y.copy()\n", "z = z.to_timestamp(freq=\"M\")\n", "z_train, z_test = temporal_train_test_split(z, test_size=23)\n", "\n", "\n", "prophet = Prophet(\n", " seasonality_mode=\"multiplicative\",\n", " n_changepoints=int(len(y_train) / 12),\n", " add_country_holidays={\"country_name\": \"Germany\"},\n", " yearly_seasonality=True,\n", " weekly_seasonality=False,\n", " daily_seasonality=False,\n", ")\n", "prophet.fit(z_train)\n", "y_pred_prophet = prophet.predict(fh.to_relative(cutoff=y_train.index[-1]))\n", "\n", "y_pred_prophet.index = y_test.index\n", "plot_series(y_test, y_pred_prophet, labels=[\"y_test\", \"y_pred\"])\n", "prophet_loss = loss(y_test, y_pred_prophet)\n", "prophet_loss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neural Prophet" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: nprophet - fit: Parts of code may break if using other than daily data.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - WARNING - Parts of code may break if using other than daily data.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.utils - set_auto_seasonalities: Disabling weekly seasonality. Run NeuralProphet with weekly_seasonality=True to override this.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - INFO - Disabling weekly seasonality. Run NeuralProphet with weekly_seasonality=True to override this.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.utils - set_auto_seasonalities: Disabling daily seasonality. Run NeuralProphet with daily_seasonality=True to override this.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - INFO - Disabling daily seasonality. Run NeuralProphet with daily_seasonality=True to override this.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.config - set_auto_batch_epoch: Auto-set batch_size to 8\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - INFO - Auto-set batch_size to 8\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO: nprophet.config - set_auto_batch_epoch: Auto-set epochs to 264\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - INFO - Auto-set epochs to 264\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 80%|████████ | 80/100 [00:00<00:00, 905.41it/s]\n", "INFO: nprophet - _lr_range_test: learning rate range test found optimal lr: 1.00E-02\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "06-17 15:07:00 - INFO - learning rate range test found optimal lr: 1.00E-02\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Epoch[264/264]: 100%|██████████| 264/264 [00:03<00:00, 70.21it/s, SmoothL1Loss=0.000321, MAE=6.34, RegLoss=0]\n" ] }, { "data": { "text/plain": [ "548.2847336338752" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "set_random_seed(42)\n", "\n", "df = pd.read_csv(r\"C:\\Users\\wilso\\Downloads\\neural_prophet-master\\neural_prophet-master\\example_data\\air_passengers.csv\")\n", "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n", "df_train = df.iloc[:-23, :].copy()\n", "df_test = df.iloc[-23:, :].copy()\n", "# df_val['y'] = None\n", "\n", "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n", "\n", "metrics = m.fit(df_train, freq=\"MS\")\n", "\n", "future = m.make_future_dataframe(df_train, periods=23, n_historic_predictions=len(df_train))\n", "\n", "forecast = m.predict(future)\n", "# fig = m.plot(forecast)\n", "plt.plot(forecast['yhat1'].values[-23:])\n", "plt.plot(df_test['y'].values)\n", "neuralprophet_loss = loss(forecast['yhat1'].values[-23:], df_test['y'].values)\n", "neuralprophet_loss" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('SysIdentPy (MetaMSS)', 255.67107436422856),\n", " ('SysIdentPy (Neural Model)', 325.1098648580196),\n", " ('SysIdentPy (AOLS)', 476.6499631699247),\n", " ('NeuralProphet', 548.2847336338752),\n", " ('SysIdentPy (Polynomial Model)', 805.9521186912001),\n", " ('Exponential Smoothing', 910.5254076540349),\n", " ('Prophet', 1186.0045566050435),\n", " ('AutoArima', 1714.4753259340698),\n", " ('Manual Arima', 2085.4261177106437),\n", " ('ETS', 2590.05579491586),\n", " ('BATS', 7286.648720912862),\n", " ('TBATS', 7448.434672875114)]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = {'Exponential Smoothing': es_loss, 'ETS': ets_loss, 'AutoArima': autoarima_loss,\n", " 'Manual Arima': manualarima_loss, 'BATS': bats_loss, 'TBATS': tbats_loss,\n", " 'Prophet': prophet_loss, 'SysIdentPy (Polynomial Model)': frols_loss,\n", " 'SysIdentPy (Neural Model)': narxnet_loss, 'SysIdentPy (AOLS)': aols_loss,\n", " 'SysIdentPy (MetaMSS)': metamss_loss, 'NeuralProphet': neuralprophet_loss}\n", "\n", "sorted(results.items(), key=lambda result: result[1])" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.8.11 ('neural_prophet')", "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": "3.8.11" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "9c8b4f2566ee0665c300a0345d74a67c0dbdc59cdceb21f2c0a51a43b1bc6af5" } } }, "nbformat": 4, "nbformat_minor": 2 }