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@ChadFulton
Created August 10, 2013 22:04
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SETAR Notebook Example: Sunposts - Rendered
{
"metadata": {
"name": "SETAR Example - Sunspots"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This continues with the Sunspots section of the [ARMA Notebook example](http://statsmodels.sourceforge.net/devel/examples/notebooks/generated/tsa_arma.html).\n",
"\n",
"Note: here we consider the raw Sunspot series to match the ARMA example, although many sources in the literature apply a transformation to the series before modeling."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import stats\n",
"import matplotlib.pyplot as plt\n",
"import statsmodels.api as sm\n",
"import statsmodels.tsa.setar_model as setar_model\n",
"import statsmodels.tsa.bds as bds"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print sm.datasets.sunspots.NOTE"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Number of Observations - 309 (Annual 1700 - 2008)\n",
"Number of Variables - 1\n",
"Variable name definitions::\n",
"\n",
" SUNACTIVITY - Number of sunspots for each year\n",
"\n",
"The data file contains a 'YEAR' variable that is not returned by load.\n",
"\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dta = sm.datasets.sunspots.load_pandas().data"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
"del dta[\"YEAR\"]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dta.plot(figsize=(12,8));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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0qM8E5xWHIPahCE6BmRz/YJ/5B/vML9hf/sE+0ydqYVwecQj2mX0oggkhhBBCYmB1iPLC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IAAAg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\n"
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we'll fit an AR(3) process to the data as in the ARMA Notebook Example."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"arma_mod30 = sm.tsa.ARMA(dta, (3,0)).fit()\n",
"print arma_mod30.params\n",
"print arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"const 49.749948\n",
"ar.L1.SUNACTIVITY 1.300810\n",
"ar.L2.SUNACTIVITY -0.508093\n",
"ar.L3.SUNACTIVITY -0.129650\n",
"dtype: float64\n",
"2619.4036287 2638.07033508 2626.8666135\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To test for non-linearity, we can use the BDS test on the residuals of the linear AR(3) model."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bds.bds(arma_mod30.resid, 3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 7,
"text": [
"([[ 4.64937929 5.71214194]], [[ 3.32935460e-06 1.11562974e-08]])"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The null hypothesis of the BDS test is that the given series is an iid process (independent and identically distributed). Here the p-values are small enough that we can confidently reject the null (of iid).\n",
"\n",
"This suggests there may be an underlying non-linear structure. To try and capture this, we'll fit a SETAR(2) model to the data to allow for two regimes, and we let each regime be an AR(3) process. Here we're not specifying the delay or threshold values, so they'll be optimally selected from the model.\n",
"\n",
"Note: In the summary, the \\gamma parameter(s) are the threshold value(s)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"setar_mod23 = setar_model.SETAR(dta, 2, 3).fit()\n",
"print setar_mod23.summary()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" SETAR Regression Results \n",
"==============================================================================\n",
"Dep. Variable: SUNACTIVITY No. Observations: 306\n",
"Model: SETAR(2;3,3) Df Residuals: 298\n",
"Method: Least Squares Df Model: 7\n",
"Date: Sat, 10 Aug 2013 Log-Likelihood: -1234.4\n",
"Time: 14:50:20 AIC: 2485.\n",
"Sample: 4 - 309 BIC: 2515.\n",
"=========================================\n",
" coef [95.0% Conf. Int.]\n",
"-----------------------------------------\n",
"Delay 3 \n",
"\\gamma_1 32.300 30.700 36.700\n",
"=============================================================================================\n",
" Regime 1 \n",
" y_{t-3} in (-Inf, 32.30] coef std err t P>|t| [95.0% Conf. Int.]\n",
"---------------------------------------------------------------------------------------------\n",
"Const. 12.9182 2.927 4.413 0.000 7.158 18.679\n",
"y_{t-1}^{(1)} 1.9012 0.125 15.164 0.000 1.654 2.148\n",
"y_{t-2}^{(1)} -1.7591 0.281 -6.253 0.000 -2.313 -1.205\n",
"y_{t-3}^{(1)} 0.6269 0.262 2.397 0.017 0.112 1.142\n",
" nobs_1 126 \n",
"=============================================================================================\n",
" Regime 2 \n",
" y_{t-3} in (32.30, Inf) coef std err t P>|t| [95.0% Conf. Int.]\n",
"---------------------------------------------------------------------------------------------\n",
"Const. 7.6992 1.998 3.854 0.000 3.768 11.630\n",
"y_{t-1}^{(2)} 0.8624 0.058 14.793 0.000 0.748 0.977\n",
"y_{t-2}^{(2)} 0.1125 0.084 1.334 0.183 -0.053 0.278\n",
"y_{t-3}^{(2)} -0.2765 0.046 -6.039 0.000 -0.367 -0.186\n",
" nobs_2 180 \n",
"=============================================================================================\n",
"\n",
"Notes / Warnings:\n",
"[1] Reported parameter standard errors are White's (1980) heteroskedasticity robust standard errors.\n",
"[2] Threshold confidence intervals calculated as Hansen's (1997) conservative (non-disjoint) intervals\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the The AIC and BIC criteria prefer the SETAR model to the AR model."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also directly test for the appropriate model, noting that an AR(3) is the same as a SETAR(1;1,3), so the specifications are nested.\n",
"\n",
"Note: this is a bootstrapped test, so it is rather slow until improvements can be made."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"setar_mod23 = setar_model.SETAR(dta, 2, 3).fit()\n",
"f_stat, pvalue, bs_f_stats = setar_mod23.order_test() # by default tests against SETAR(1)\n",
"print pvalue"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The null hypothesis is a SETAR(1), so it looks like we can safely reject it in favor of the SETAR(2) alternative.\n",
"\n",
"One thing to note, though, is that the default assumptions of `order_test()` is that there is homoskedasticity, which may be unreasonable here. So we can force the test to allow for heteroskedasticity of general form (in this case it doesn't look like it matters, however)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f_stat_h, pvalue_h, bs_f_stats_h = setar_mod23.order_test(heteroskedasticity='g')\n",
"print pvalue"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.0\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that the BDS test still rejects the null when considering the residuals of the series, although with less strength than it did the AR(3) model. We can take a look at the residual plot to see that it appears the errors may have a mean of zero, but may not exhibit homoskedasticity (see Hansen (1999) for more details)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print bds.bds(setar_mod23.resid, 3)\n",
"setar_mod23.resid.plot(figsize=(10,5));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(array([[ 2.9728394 , 3.02855581]]), array([[ 0.00295059, 0.00245726]]))\n"
]
},
{
"output_type": "display_data",
"png": 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StkEHqetUiu5bTJ0obih2b8nOncCCBfE+TmJiApg2DRAiUeiiTCkYz5Qz8m1Az9Yz1dgY\njQG9vj6+/V+HkiVThUSxKFPj4zSg5ZPYRLUbxKB4UQxkKp0mMpVOhw+DG1gwniln8HEycc+AHgWZ\nYoWrmBbVJUum4uCZirsyNTRE/4ed0ILUNddJMXWiuKHYvSXd3cDs2USm4toOJiYo5AIkYxtyKUYY\nz5Qz8q1MhfFMGQO6QV5QLMoUk6lCKFNxnUQNcg+eNOKsTLFnKs4qQTFCzjNl6tWOYjmbL+5kavXq\n3PiAS5ZMxcEzVSpkKkhdGzIVHsXuLRkfJ9UnzmQqnabyVVcnYjuxFSNkz5SqvhR7uw6LYjibL8rd\nfLkyoH/nO8Bjj0V/3ZIlU4VEsYT5hofpf78TGh9OGwaGTBkUA5mamKDyVVTEt4zFCOOZckYxnM0X\npQE9V8pUKmXNM1GiZMlUHDxTU02ZOu00oL8/8/dB6joKA/revcAnPpH954sdxe4tKaYwnxDJ2E5s\nxQjjmXJGsZzNF2VqhFxs8BgfN2RqyqBYlKmgBvShofAEMQoD+muvAU8+Ga4cBoVDMShTHOaLs0pQ\njDB5ppxRLGfzReWZmj49N2OAIVMRw3imvMFhPj/EhnND6d4b1DNVVRWOTPX2lnZqhWL3lhQDmeIw\nX01NIrZlLEaYPFPOKIaz+YqFTPHcFiVKlkwVEsVCpoIoU0x+4pBfpKcn/nVr4AyeNIohA7pRUKKF\n8Uw5oxgyoEfhmRKCxu+amtyQKeOZihhx8EwVS5jPD7HhzqPrREE9U4ZMhUOxe0uKSZmamDCeqShh\nPFPOiPvZfJOTVMYZM8KNv2NjFmkMG6XQwShTUwjFokwFCfMxiQrb8KMgU6Ue5it2FAOZMp6p3MB4\nppyRbwN6UIyO0qkA06aFG385xAcYz1RRoNCeqbKy4lGm/DRmN2UqqGcq7G6QUlemit1bUky7+erq\njGcqSrBnSucLKvZ2HRZ8nExcz+ZjElRdnTsyJQSwYUP21wYMmZpSmJgAamvjP+FnE+YLq0yNjkYT\n5uMDkw2KD8WgTMl5poyCEh1kz1Qc1ZdCIu4Z0EdHoyNTNTX0sxrm27YNeM97wpUzlTJhvkhRaM9U\nfX3pKFP59kz19hKRiutEnGsUu7dEJlNxTd7KYb6xMeOZihLGM+WMuOeZYhIUlkwxKQMyF1Sjo+FF\nCKNMTSFMTAB1dfFXprLxTEWVrC2sMgXEv34N9CiWMF9lJU1scS1jMcJ4ppwR9wzoHJ6L2jMlzwXj\n4+HnGGNAjxiF9kzV18d/sh8aokYdNsyXjWcqrDIll6nUUOzekmIJ81VUAI2N5my+KDFV80wNDwMD\nA+GuEfez+WTPVJi5TSZTanqUVCq8Wm2UqSkEVqaKIczX2Bg+zBcEnPTNKFOlCzcytWsX8D//U5hy\nyeAwX2VlPFWCYsVUzTN1++3At74V7hpxz4DO4Tk6Zin778/NgB6FMmXyTEWMQnumiiXM55fY8Ht0\n7w1S12xAD7ubb9as+NdvrlDs3hK3MN+6dcA99xSmXDI4zDc0lIytelaMmKqeqc5OYPfucNfItwE9\nW89UWVk435SbAT0qZcqE+aYIismA3tSUf2UqTJhvbIw+O2tW6Yb5ih1uylQqBfT1FaZcMjjMF9ed\nVcWKqeqZ6u4G2tvDXSPueaZkRSkMmXIzoPORZWF2ascyzLd7926cc845OOmkk5BIJHDXXXcBAAYG\nBnDhhRdiyZIluOiiizA4OBhFWSNFoT1TxaBMcZgvrAE9n56p3l4igNOmxb9+c4Vi9pYAFpnSHSeT\nSlmeuEKCw3yzZhnPVJSYqnmmenqA/fvDXYOPk8kX0czWMwWEV6bcyBSQvZcynSYiFjtlqqqqCrfc\ncgvWrVuH3//+97j22muxYcMGXH/99TjrrLOwdu1aLFu2DDfccENU5Z0SKCYDelAyFUUG9DC7+Xp6\ngJkzw+8oMSgMhLAmjbgrU8YzFT2mqmeqpyecMjU5SW2uUGfzPfaY9z1lEhRm/FUN6GqYT/4/KPha\nsVOm2tracNpppwEAZs+ejTPPPBN79+7FQw89hBUrVgAAVqxYgQceeCB8SSNGHDxTcQ/zsWcq33mm\n6utpUs1mwOjtJTIVdkdJMaOYvSXybi4dmRofJ5Jf6PxTHObr7zeeqSghh/nU/l/M7bqnB+jvz14R\n4dBXWVlhzub74AeBvXvd3z86anmdwoy/smfKSZnKtv+nUjT3plLRE9LIPFOvvfYa1q1bh2XLlqGj\nowOtra0AgNbWVnR0dER1mymBYlKmmpryr0xNn579AZc9PSbMV8zgEB/grEwBNDHlG6OjwO9+Rz9z\nmM94pqLFVPVM9fRQu85WnRoettSaQihTqZT3eBpVmG94mAgPkDkGRKFMVVcTWYtanYqETA0ODuKy\nyy7DLbfcgvr6etvfysrKUFZWFsVtIkWhPVN8nExcjzwRIlxqhLExYOdO+jlIXfMKrKoquw7DylQp\nh/mK2VvCJlvAnUwVItS3aRPwta/RzxzmmzPHeKaixFTNM9XdDRx/fDgyVVtLP+cjNcK+fcCSJYnD\nr/NJpgYHSWwAMhfVYZUpJlPTp0dPpirDXmB8fByXXHIJPvjBD+K9730vAFKj2tvb0dbWhv3792PO\nnDnaz1511VVYuHAhAKCpqQmnnXba4Q7DEuNUfD0xAezalURFBZBKJTBtWrzKBwCPPZZEeTkwfXoC\nPT3e73/lFXqdStHrW29N4v77gWefDXb/kZHEoQ6ZxOOPAxdcEOzzPT0JzJwJ7NyZxPPPA+edl5/6\nMq+jeX3yyQlUVdHrPXuAiQn737l9/e1vSRx/fH7Lt349MDZGrzdsSKK9HaiooP4cl/or9teTkwlU\nVFD/peOs4lW+bF7T7rEkmpqA/fuzvx4tvBMoLwf27Ekimcxd+T/zmSTa2oAf/5hej40lsWoVcNJJ\nzp/fuBE44QTr/c88YxGyIPcfGgKGh+n5Kivt/Yv7/5NPJjF3bvDnW7SIxpd0Oom//x249FL39/PP\nO3bsgCdECExOToorr7xSXHPNNbbff/nLXxbf+c53hBBC3HjjjeKrX/1qxmdD3jo0Hn/8cV/vu+su\nIUZGor33Zz8rxI9+JERDgxC9vdFeOyp0dQnR1CTErbcKcfXV3u+//XYhACG++U16/fvfC7FsGf3s\nt66FEKK5WYjOTiFaWoRobw9e7htuEOLaa4W45BIh7rsv+OenAoLUd9ywb58Qra3087ZtQixYYP/7\njTdSO/vHP/JeNJFMWmW79VYhPvc5Id785sfF/ffnvyxTFb/+tRCXXSbETTcJ8aUv2f9WrO26o0OI\n2bOF+NSnaJzMBi++KMSpp9LPd94pxIoVkRVPi0svFeIjH3lcCCHE5CT1uaefdv/MF78oxM0308/L\nlgmxalV2977qKiF+/nP6+f3vF+I3v7H+dtttVJZNm7K79muvCXH00UIcd5wQGzcG/7wbbwmlTK1a\ntQq/+tWvsGTJEixduhQAcOONN+LrX/86rrzySixZsgSLFi3CypUrw9ymoPjYx4CXXgJuvTW6a3KI\nIM6+nqEhilvrtqfroIb5RkezOz4hrGeqtxdoaQl/2KZBYeA3zFeI9AjyIavch6eat6fQmIqeKd5h\nPHdu9ukRRkbsYb5c1013t2UC53E4SJgvjM3CT5gvjGeqqio3nqlQZOotb3kLJh2Ct3HcwSeD5Tw3\nTE5S5f/hD8C55wLvelc09+aBuKYmvmSKTYDqQZNOUA3oY2MWmfJT1wD5tOSTx7M1oB93XLyJaq7h\nt76jwne+A1x8MXlCwsKvAb0QnimVTFVUAHPnGs9UlJiKnqnubiJTbW3A6tXZXSPfBvSuLuDMMxMA\n7D5YN6ieqWzHX17IA84G9Cg8U1HnmiqP9nJTC2NjNCn/7/8CX/pSdNeVlam4pkfIRpniLaeAnUz5\nxfi4tSU+zG6+Ujeg5xM7dgDXXQds3BjN9eJOpkZHrXPHWJkyqRGiA+eZKi8vDWVqwQJ/45yqTOWa\nTHV36xfIbsiVAV2XGiGsMlVbG9PdfMUI2WDmBM6bccop1LjC4PbbKVwIFE+Yr7bWP6lJpagDqGRK\nCP/5YdRkbWF28/ldGR08CNx2W/D7xBl+6zsK/OAHNOlF1Y79hPkaGgoX5hOCysR9+MCB5JSZ9OOA\nqXg2H5Optjb7br7xcTq428+CWlWm8hHm27YtCcC/MqXmmcqW8AwNWWRKjYyEVaY4IXAudvOVLJny\nA24cNTXhFaS//Q1Yv55+lsN8cVemgoT56ursq5iJiWCTrFvmW78ImmfqlVeAO+4Ifh8DIqIrVwKJ\nRHQqoKxMOR0n09JSOGUKsNr2VMzUXWi4Je0sVvDB66oyxZO5n74jp0bIdZhvfJzyuKkqUD6VKacw\nX5TKlAnzRQQ/8XcO80XhbdKZV+OsTLFnKkiYT1ameOIZHPTvdYiCTAXNM9XXF4+z3qJEvrwld95J\nXqmFC3NDppyUqZaWwilTAPVZDvPNn58wYb6QGB8HVq2in6eiZ4qVqTlzaAHCz8WTuZ++I4+NuSbw\nPT30f0tLAkB2ZCpXBvQoPVNGmcojWJli0hMmweboqNUQisGAzmG+MMoUEMw3FZUyFSTMNxXJVL6w\ncSNw1lnR+tP8hPnmzMmdMvXqq8CaNfq/qcpUXHfzCQE89VShS+Efa9cCn/gE/TwVd/OxAb2qilTz\ngwfp9zyZ+xmn8qlMdXXR/0E9U7JxPMowXy6UKWNAjxB+4u9jY0R4ysuz9/AwdGRqqhvQASJTQTxT\ncsxdR6aeegq49lr95ycnSZ6eMcO/6tfbS51qKpnV8+UtaW+n0EWYnTsqZGWKJ1R5EZPrMN+999I/\nHXRhvvb2+Hmm2tuB888vdCn8Y3jYGmPcDjrOtl1v2AD89a/hyhgGvMAD7L6pMMpULskU+4P37EkC\n8K9MqWQqmzFBCH9hvrCeKWNAzzNGR2lSBsITHycyFVdlSg7z+Wm44+OZBnQgmDLFR8kAzvfdtYt8\nTjoMDREZ47r1G+aT/zfwj/37aXKIMqeXTKZ0h7rmOszX2+s8yOrCfHFUUOTNH8WAoSE7mYpamfrr\nX8nbVyjIZEr2TYVRpnLZ5liZCuqZ4mgGkP2YMDZG373sm9SF+aJQpgyZigh+4u/y7oSwZnGnMF/c\nlalsw3z8XAMD2XumdB1mfByHjplwLjMQLMwHTK1QX768Je3t0ZMpOcwH6PPM5DLM19fnTaZGR60+\nvGBB/DxTY2NESqKeLHKF4WFr3MiFZ6qvL7sEwlGBDegAtd3OTvo5iAFdTo3gN8w3PAw89FDw8nZ3\nA83NQGNjwla+fIT55BAfEI0yNTIC7N5tfa662hjQ8w4O8wHhic/ISHEpU3JqhGwM6LnyTPklU36V\nKSZRcSdTIyPAD39Y6FJYSKfJ+zFnTrTtWFamAP3W6DgoU3HezcffRX9/YcvhF2qYr7w8WvWl0GSK\nPVMAjZE8fgUJ88mpEfy2uXXrgPe/31KagpS3rS24Z4qjGUD2ZEoO8QH6xdT06cGu/cADwDXX0M9G\nmcoB/OaZ4jBfFMoUN8bx8eIwoIdNjVBbG9wzFRWZmmrK1K5dwPe+5++9+fBMHTxIq+3KytyF+QD9\nypQ9U0HDWH/5C7Bli/t7gob59u6Nn2eKv4tCEoggyLVnqtBkSg7z1dVZ41eQMF82ylQqRdcOGuLs\n6qJwZGdn8vB1vMqZTlPfZPEh200p8k4+QH+cjDzP+EFnp1Xncp4po0zlEWqYLwzxKTYDetjUCGNj\nwOzZ+VWm5JWRX7Wkr48M63EnU2Nj8TLJs18KiJ5MeYX5ZsygCSVo3/nZz7x3ubmF+bg9qbv54hjm\nA4qHTA0NWX09F3mm+vtpki4UnMhUrpUpTnD7s58FW3iwMhXEM8WRjLIyep3LMJ+80ckPurqsscJk\nQM8B/OaZyqVnKu5hviAGdF2eKSZTfr0OagZd3X1TqejDfAsWTC0ylQ/PFPulgOhTI7gpU+ypamwM\n/p319Hj34aBhvmOOid/ZfMUc5ptqnqmxMYsAANkrU9mkRhgbA5Yto7p95hn/Ze7qor49fXoCgH8y\nJYfnst3Np4b51MV8KkX1EESZ0pEpOcyX7eHTKkqWTPlBmDAfHzsBUMNPpYrPgB42z1RLSzhlKl8G\n9GIhU3HklCtHAAAgAElEQVQi3jKZylVqBEA/mFZXU76eoCb0nh7vcnoZ0HkBxGG+ysrceabWrMku\nFFFsypTOMxWlF62QZIrN56zYZKtMyWNjkDDftGnAhz8M3HOP/zJ3d1OYL4hnSt7JBzgrU7/+NfDc\nc+7XUZUpXZgvyOLt4EGrT6sG9P5+4Jhjotn5WrJkKsjZfEDwkNyf/wysWEE/cyMsVmUqbJgvas/U\n6Kh+oFWVKb9kauHC4iBTfgeQfHimOMcUkP8wXxhlysv3MTDgTqaamuy7+XbuTOYszPfFLwK//W3w\nz/F3kW9l6qKL6ODroJB38+XSM1WIVBGy+RyIRpkKEuarrgaOPho4cCBYmdvagN7e5OHrVFQEV6Z0\nY8Ivfwk8+6zzdVTPlK7/B/VMycqUejbfa6/R37LNWyWjZMmUH/BxMkBwFam93cp0K3+RQP6UqQcf\nBL72tew+29dHE0cYZaq5OZhXwU+eKf6dbsU+1cN86XT+do79x38Aq1c7/z1Xnim/Yb5slSm3/sbk\nw41MNTbaPVO5zPnT328dsxIEhVKmNm6kjRJBwcqUELlTpgqVKkL2SwFEiFQyxX1nzRrgppv01wmj\nTNXUOD+7EJltjA3osmeqvj4YmXIafzdtcu+DXmE+NZ+hHxw8qA/zDQ9bG1KimIdLlkzlOs/U4KA1\n4evIVFVV7pWpffuo8WaD7m6Sp6NQprLxTIUlU35CT/y90CrMVxELBnknqBfCeqaEIDl++3bn9+TK\nM+W1m09WpoKQqXSayIlbm+jtpUncD5lKp+m9xx+fO8/U4CDwz38G/1yhyFQqlV3+LyYXk5PuZCrb\ndt3fT+NKIUJ9KplyC/Nt3Ag4iW/ZKFNjY9Y5dE5z1/79wNvfbv8dK1MVFYnD5WtocO878uYfQL/A\nGh0Fdu70JmVuYb5slSk5zCcb0A2ZyhPCGNAHBjLJlHrQca5TI6RS2ZMEJlNBlCnVgB7UMxWETOl8\nU0GVKVbfmpqKh0zlIyy8cyeRJbeVfC49U15hvqqq4GE+fq9bH+7tBVpbgylTufRMDQzQYB8kRAMU\nLsyXSmV3Tx4nx8fdDejZYGKCvre2tsKQqf5+ajMMtzDf6KizRy7b1AjV1e7K1NatVpJX/szoKEUV\nZM+UF5nyE+Z77TVaqHkpU7nezScfdPzaa/T7KMavkiVT2eSZClLhOjKVy9QId9wB3H+/fcAYH8+O\nJLDJe8aMYLv51DBfUM+Un918QciU1/fV20sDXTGRKT+DSDbeks5OK6z39NP0vxuZ2r8/N56pXIX5\nenrof7c20ddHk24QMrVtW+48U4ODwJlnWt+HX+RLmVq1Cvj7363X2SpTPE5OTFieKV34NJt23d9P\nRGDGjMKkR+DUKwxVmWposC9AnciUmhohCJlyU6a2baP/uc3wInraNGB4OHn4OtmQKfX9mzfb76WD\nnzBfEDLF566qnik2oBtlKk8IE+aTyZQaG8+FAf2rXwVuvx1YssT6XbbKFEvTZWX5zTOlKlO6DsO/\n8yJTftSSvr6pSaaywV/+AlxxBQ3SzzxD9RdEmSpEmC/Id+aHTPX2EkEcGdGblVUy5TTpRwE+8PW8\n84L7psbGqB/kmkw99hi1G0ZUZCpKZYr7eEND8PoQAtizJ5xx3UuZamryp0xlczafH88Ukyme27q6\nSJWSF7PZeKZ0Y8KmTd4Cgp8wX5DUCF1dpDaz6qmmRtiyhcijIVMh4BR/X7PGyjsRNszHnSbXBvTB\nQbr2n/8M7N1r/X583JpEgoDPZgLCGdCDeqZGRkyYzwlBwnzZeEuGhkjyf/JJIlNvepNz2+Qki7zi\ndlsUbNgA/O1v/ssRZDdfNsqUW3/r67NC27q2w7v55NQIixfnxjM1PEzPuXx5cN8UpyXJdZiPV/2M\nsJ6p8XH3pJ3ZtGtWhoKSqZ/+lI5KOvpo4N57A9824/4MlUw1NnorUxMT9I/7hS7Md+ONwMsv23/n\nxzO1datVFsBSpqqrgXQ6AcC/MuWVGmHzZuCkk7yVqSjDfF1dNA/xGCWTqd5equ+jjzZkKie45Rba\nBQfYw3xBQ3JqmK+2NnfK1L59wBFHWKsJXkmxMuW2stq0Cbj6avvvuEMBwZQpJlMcFy+kZ8qPMjVV\nw3zZYHiYBv3bbiMC9Ja3OK9mOzpIlfKT7fiHPwTuvtt/OXRhPnnbPPedxsZgZKGnx3t7d28vtQWn\nc7tYmZJTI+QqA/rgIE1gb3wjTZJBxp5UKrgq/NRTwPveF6yMw8P2+oxCmYraM8XKUFAytWoV8M1v\nAr/7HSn+Ye/PUMN8TU3eZIr9Utzf1Lrp7weuvx546SX75/x4plRlihfSFRX0mtWcoGE+3WJ20ybg\n1FOD7+YLY0A/eJCehwml7JlKp4Fjj43Ou1yyZMop/j46aleUwihTIyM0AfAgrFOmoiJT8+bRICQz\n+VSK7u/mFdi1KzPvR1eXRab4el5SdypFz8Or+vFxusbAAPD440lfzxG1Ad1vmK+uLn7HtajItWdq\naAi4/HLg4YeBk0+mQd5pAJb9UoAzmRKCrueUZFUHtzAfD4RlZUT8gpKp1lZvA3pjo55M8QJBDfNt\n2ZKbs/kGBmgCq6ujuuZT7/0gmxD77t0Uug0C+fB2JrpReaaiyjOVbZhveJgWg+95D4X6Xnwx8K0B\nUBt1U6b8hPnktAhApjJ13330Hk7Fw/DrmWpstCtTvPuwoiJ5ONl0FLv5Nm8mG0rQ3XxRKFNMKHl8\nqaigMh53nH5u//3vgUcf9XcPRsmSKSeMjlrkI2yYj683OkodSt3NF5UBnZUpwN6ImXi4qS5cPhmy\nMlVW5r36FsJqpFVVVH/V1dZrv4TRb56pxsZow3xlZdnlLconcq1MDQ1Rvq33vhc46yz3U9VlvxTg\nXNcvvkhtM4jx1y3Mx5MDkB2ZamvzNqA7KVN8OPn06fYwX648UwMD1qQye3bmROkGJlNB6odDHkEg\nh/m4r2ZLplhtyJVnqr4+GJmSD3r/5CeB//mfcPdn1NRY/h0nZUpduMp+KSAzBPqLX9CxMV1d9s+x\nZ8qpLw8OUhuRw1wymWHfahSeqa4ueu6jjgqmTDmRqWyVKVn5nj7dmUwlk8E3fpQsmXKKv8tkKsxx\nMtxxh4ctMpWrMN/evaRMAXbjNv/vRqbGxjI7muyZ4mu6kSl+nrIy6kQDAxYJbWgAli5NaD/X3w98\n/evWa7+7+ZqavMkUkzG3XS+sRADxD/Xl2jPFA/bPfkbhDTcyJZNtwDmk+tBDNMgHUabUMJ/c9mQy\nlY1nau5c7zCfkzLFbZP7LLf5U07JjWeKw3xAcDKVTZivtzfY9wTYw3w81mTrmWps9DagZ+uZykaZ\nkseSj340c6e0X6jKVFmZlbhTp0zx0WMydMoU182mTeR7uvLKTDLFnilusypJ276diJTc3uV71dYm\nfCtTXrv5Nm8GXvc672iMqkw5hfmCKFPNzZnKFD0fkSmdqNHTE7wtlyyZcoKbMhU0NUJ5eSaZEsJK\n+Oc2YQUBh/mA4MrU2Ji7MgV4m9DlSa6qip6dSajbILZrF3DXXdZrv7v5/JApJnZu5ZZXjcVCpnKp\nTNXVUT04EQqGPNEDzmG+hx4CPvCB4MqUV5gPyE2Yz02Z0pEpDkflwjPFYT6gOJSpbHNbsQ1ixozc\n5JnK1oAujyVz5gCLFwMvvJD9/WVwqG94ONOADmR+D6oyJYf5/vAH4P3vp7btFOYrL9cveLZto3Pp\n5DCgfC/u11Hkmdq8GTj+eO9ojJsBnSMgQXfzcZhP9kwBdmVKfbaenuBtORZkav16GnjzCTfPVFBl\n6t57MyeMgQH6EplMcadhIsUrlGwOMlWhhvnkLa2A+44+HZmSPVOAtzIlkylWpmQy5VTXPKAw/Hqm\n/JApwFv548kToP+z2fnohOFh9wM9gyIfnim57tzIlJ9t0Lt30793vjO4Z6pQYT43A7pKpjjMt2FD\nbjxT8qSSLZkKch5dNmRK9kxlq0zxGFtdnbs8U6xMBSH16u60N7zB/Uw5r/vLYDLFypQXmZITdgJ2\notnXRwvp5mZ9mI/7i27+2rqVyJRsUJfJVDrt3zOl280nv7+jg8rpJUq45ZlKp2nerKnxv6jUGdB5\nsfa97wGvf72+bnp7i1SZevRRMnzFASqZ8uOZuu46YN0667UQNJC1tlIjk5UpDg8A3mTqQx/yN4jK\nYT5VmaqoyC7M56ZM/fOftCJiqGRqcNBOpuRnlCfW4eHsyZTTcTJuHVqFHOabOTNaZeqJJ4BPfCK6\n6+U6A7q6+nUzraqrR51navt24IQTqH6DTGJuSTvDkqm5c72VKa8wH48D8m6+XBrQgezIVEMDERK/\n7SXbMJ9Mphoagk9A3O74e45Lnil1wXDmmdktjtQwH5BJpuQwH6BXppwM6NwnZs929kwB+ja9bRuw\naJG9r6uHzTOZ4t85LarV+qqrsz8HewBVZerxx+2E3y3PFC+0vCIOMlQDujy+XHSRvU/LKFplaseO\n3EjlbjjllATe/ObM3zuF+dzkyY4O+0A0MmIdeaGG+WQypTY4FQ8/7G8Xj5MBPZWiHSlhw3wqsXny\nSeBPf7Je68J8smfq2GMTh9/79rcDa9fSz1w3PDDkQplyW8HkMszX3U0rv6hOqg+iTGWbZ8qvMqWS\nKR1p5UPC6+uj280nt7Pp0+n3fleoUStTHOY77bRE6LGrt5fOQpQRhkzxJNrQ4H9C6O2190U/UD1T\nrIYFuQa3O9njGDfPFJC9MqUa0AF7mM+PMuVmQOf+0tyc2UbYMwXoCQOH+eS/yfdqakocDvPJ3isd\n1Prifs/l5PasKlPvfrd1XBInqnUyoDMRcrKA6CB7plRliuHkmSpKMrVzZ/7J1K5dlJxQ/VKChvkG\nBzPDVdxwWHni5GyycVW+pm7w4RxRXl+oEESmeKu63NDGxyne77Wbj5PCMbgBMtQwX3+//ZpeYT55\nEGtvt1ZQalLTMGRKiMztuWrn7+2117Ua5ouSTHFn7O6O5npjY87JJLPFq69aP6uDoVtuGpVMcZuT\niSOTKZ44/JJKv2G+oOkRojagc5gvCgUlmQRuusn+u7BhPiZTfgkEt/0goT41zDd9Oo15QZRIVZmS\nPVNBSJkToiJTxx5Lnw+SPoJN3zwWMurqqN1OTNjDZ25hPicDOveJ5mYaa+R+pi4+uE1fdx1wxhm0\nKGZlSmdA54U5X8eNTKljb0UF9Rcep3lOlImLEHQ/+XSCigrnDSjZKFNOeaZk6EKPRRvmKwSZeuyx\nJISwZwwH6MsNEubjziVP7iqZGh2lhjY5aU2KAHUKp0mrs5P+95osurutQQzIVKa8yJQufOQV5uvv\ntzc0LwP6888nD7+3pyfz1HQ5uWm2u/lGR62DZxmqYnLllZSThZHL3Xw8QHBSvLAYG7On13CDH29J\nKkUJ9LiOdWE+v2RK53HhCb2igv7XXau/n8ogT5p+w3xAcDLV1uasLgvhL8yn7uZ79dVgnqmbbyaP\nqIz16zPbc9gwX3U11U8uyZQa5ssmM70uzJeLPFNBUiOk0/bQFkDkPWioj+/NyTYZdXW0oKyttavn\nnBomiAGd652Tc8rPqHqmuE2vWkU7FP/2NwrFOylTIyOWZ6qqyl3pV8knYCewvGlFvpecKJSvIY8r\nQGaYLxtlSpdnSoY6t4+MUB8qOmVKCCJTuTp53Qk82alhtKB5pjo66H83ZYo7CZ93Jk/4Tr4pv2RK\nDvEBdhIyPu4vzAfYJw9dmC9bZaq+3nq+dJo+qyNT6TTdgxu6U4dxIlO6zqx2/p07KdMzQw3zbd0a\nHannAYKPawgL9sFEpUyxBM+DXZgwH5C5amUyBdB7dWrFvn0U8n3lFet3XmE++W9+J+502vIwuq2s\necLI1W4+IYDvfx/YuNH++w0b9GQqW2Uq2zBfTU1wMiWH+cKQKT9hvmzAnqUgyhSXSSVBQUN9Or8U\nQP3s4EFrTpCVqVmzvJUpuW7k/qKG+uQ+KPuiBgdJmVq2jJ7RSZmSPVNqigW1H3mRKdkzxZ/l5+Sx\nUjeu6Pq/bqG9Y0fmPJdK0fPMmGHN3+oYAmTO7bzILjplqreXKjrfylRzcwIAhftkBA3z+VWmamqo\nEQwPR0+m2HwO6JUpr918/KwANdKhIfsgEFSZGhy0e6ZaWxMArM/oyBTXEQ9gTmG+VIrM4n7IlKpM\n7dtnJWITwr7T5txziVgfdZSdcGWLnh4islEqU37JlB9vCbdxbl+qTB+UTKk7+uSBXM76LIO9Ek88\nYf3Ob5gP8K9M9fVR3fGEogs5ysQ6SJjvjDP855navJkWX+pEtH59JtkMk2eK696vMiUEjcPz5vn3\nt3FYPawyJSfHjEueKd1YAgRXptzI1IED1M5UZUpHpvwoU0Dmjj4nZUrtv07K1Jw5es/Us8+S10mG\nuvkHyCRTqjKlI1NqvevCfLqF9le+Qn5ceTzgXelMGP16pljF1pFGNxScTO3cSf/nm0x1dFClysoU\nn0M0OGhVpEymdBWrU6Z4IGSDuRuZcjKh83W5cWzfDlxxReb7vMiUX2WKG1NPD6k05VLLCKNMyRMe\nkzqeOORjFeQQH98zSJjPSZmSw5h9fXRK+MAAkZzmZuu7OO44IlpXXEEelrDo6aFtt3FWpgA7wVXJ\nlNtuPh1xdSJTTsrUgQP0Pcv1rQvzyak+siFTPT1EwN2UJDafA8HCfEEUFCaN8jgyOUlKlZr5Wg7z\nzZxJ35PfMZLDfH4JxMgIPYc8kf/0p8C//uV+D0BPpoKER2RlKhdn88lkyq+XS0cMAOD004E1a4Lf\nW0VtLZHj2lp7v8lGmfJLplRlSiVTcmoEL8/U/v007zCE8KdMsWdKVaZ4XvAK87kpU/39VI7zz7fq\ns7OT5j/5Gf14pni8CNqWC06mduygRpVvMrV2bRJLltjJFE8AqRQ1PD7rDnBXpioqvJUplnR1ypRu\nNagqU9u2Ac8/n/m+vXvtYb6gBnSVTKnZz/mafpUplUw1N5OvBLB3GiBTmZIHjKjIFNcFH4GydCmw\nejVwzz2U7E5F0MzRTujujp5MRemZkpUpVhn8eqZ0g54aUvWrTL3znWSEVXcnMdyUKb+DHQ+OXE5d\nHfpVpuTUCBUVNI74nfSTSes4GsauXTSBVlXZxxd5wquoCJYHTTag+6kfJpKySv7YY3TAshP4fWqY\nb8aM7D1THOaLyjPFYewZMyxC72cjhJMy1dZGZMXvXOVXmfIK87kpU3J/URVMv8qUmhqB79XXl9SS\nqd5ee1vUGccBuzLKcyIToclJ+3mAunIB+qS9urx2g4PALbdQ2TgUy5EGfn4nZUoX5ps5M3hbLjiZ\n2rmTtmfmm0z19FDcWA7z8YReX0+dRt6F4ZQaob2dzjRTyVR9vUWU5FVtkDDf/Pl2VUc3IYVVpuRO\nBGT6pQB9mI8JJ9/HyYDe0mI1SC6HW5iPEfRsPq8wH9fTWWeRAXPlSjKkqwiav8gJrEwVIsznB1x/\n/f10bT78k8GrNd3k4xTmC+qZOnAAOO00msjZlK2uHJ2OkwH8D3YymXJaFAVVpuSz+fyMXUKQMpVI\n2Otp/XrKrq0STlmZAoKF+tgz5TfMJ5MptV04gSf4XBjQy8ujOfNwcJCuXVFhHd/lxxPmRKYqK2ls\n9Ps96BJ2ApZnyq8ylW2YT+eZ4vQDbsoU30v2TLGfcGyM+pNMplSLAENnQC8rs66jhvnkDUEMeR6Q\nUyOoc8PAAH128WIr2rVrl0WmdGfzMXRhPiZTRaVM7dxJ2zPzTaYmJhJ4/evtyhQPmEym5MndzYC+\naJG3AZ3DfEND/snUscfayZRuQtq0iUgXQzWgZ6NMqWRKF+aTk4G6Je2cPRsQInH4GQBrwJZJlUqm\ngu7m81KmmEy9+c0UwqioIA+EiqBbqAHg3/89cxXf00MnpOs8Mtkgl54pXd3xcTxO6UCCeqacyFRL\nC7B8uRXqy8VuPj/K1Lp11N+AYGG+N7zB8kx95SuZiRMZW7dSnZ54YiaZOvHETMIZhkzJYb4gypRs\nOejr8yZTco6ksJ4pHmOi9EypZMZv33YiUwCpU+yTTSZpLHGC7igZILgyFUWYT05ayX2b4ZS0c/58\nvWeqt9ee7NmpvnQGdC7L6Ggmmdq/30rxwwiiTNXXk7ChI1NBdvOx1SVoWy5ZMtXZScqBkzJ18KA/\nMtXeTspatgZ0N8+UjkzJSsETT9Agfe651u90ylR/v3POFpVMqUfJAJnKFB9hwA3NLWlnS4s1CfT0\nUEeWSVRZmbMy5babT/WYeHmmuKO+6U1ErK68MnO3DhBsOznjxRcpXC2ju5ue/cgjM/+WDYKE+fxA\n9kw5eUR0pGJyMnOlDHh7ppzCfC0tpNawnyhImC9bMqXrx8kklQMItpuvstKa2O6910pIq+KJJ4g0\nqmTOSZlSCWtQMhUkz1Q2ypSavVslU6Oj/o4IU8N8UXqmVDLjNz2CG5lqbbX8rH/5C/CZzzj7qLyU\nKbZ+cI62sTFqp9mG+dTdfDrPlG4h5GRAd/JM8SJaXhy7kamJCfocX1dWpioqrOuwFUNGRQXVzeSk\nPTWCutBm5WvBAmu8VcmU3zxTcpivKJWpfKZGEAJob08eXiVyB5OVqYMH7WG+qipr+76Mjg4iU36V\nqSBhPpVMcf4TgH7+/OeB737XvmqRJ7Xxcet5nBoFx7vlMJ/OM8XPzaGf1lZnZaq/365MtbcnAdD7\n29qsFfjwMDXaIAb0VIrqrLzcPnn7DfO1tNAxPR/6kL4+gmwnZ3R321cwnIi1tpbaRhS+qSDKVFDP\nlJNMryMVIyP0PckhQcDdM+UW5ps9m5QZDocG2c3nd+W4bp3lK9RtJJmYoCOSzj7b+bm5fbKPsqyM\nfn7hheTh8g0OOod1X32VDMxqPW3YEJ8wn7yw6+93P3pneNgqH49LMpl6/HHgC1/wvrdbnil1ARjU\nM6WGjfySS6f+ANiVqT17gLe9DVixQt8v3ZQpzjPF4zWriXIqGYYuaacQ9E/uE+qRMtwOAEuZUQ8p\nB5xTIxw4YPdM8XiqI1O6xRjXNxM4XrzKytS8eZYypSNTgNU2WLXmsUfmDKx8LVzoHOYLokzFyoD+\n5JNP4vTTT8eSJUtw2223Ob4vl8pUV5dl5JbR20uNrKaGlAMO9bmF+fiARXkgJlLmrUzxBBTUgK6S\nKcCalFaupI76vvfZPycrOtwJ3BJSjo3R373CfExs2FTZ1KRXptQwX2OjJS/39FBIUg7ztbT490wJ\nYeWiUicfv2E+ALj7bvredchGmerutnc67oxlZdS2o/BNRe2Z8grzAXpSoVvZAu6eKfm7krPQszIl\nTwJRh/kOHAB+9SvgYx+j1zplas0aapdz5jg/t9w+p02z+rCsoAwN0a5bHTh5oKxMCaEP8/HZnmHC\nfGEN6H49U6p6wWRq1Sp/aRbU3XyyZ4oJgx+sWUPkRsbBg9ZuLiD6MN/u3cBXv0rjyi9+kfleNwP6\n5KQ9zMftS7e4VpWpsjL6Nznp7ZkKokzxeKvm+lM9U0GUqf7+zLbM1xkZoUWOXzIlL7Tk+SGdtpQv\nL2XKr2eqqSkmBvR0Oo0Pf/jD+MMf/oAXXngBP//5z7Fhw4aM9w0N0Zc7b160ZGpyErjjDiIj112X\n+ffOTuCIIxIA9GSKZVj1GACVTPX10Zc7e7aeTPlJjaDrPEJQGRctciZTL7wAXHJJZqhKVaaqqjLJ\n1OWXW4OKjkxxSIQhh/lkMqVTplQDenk50NKSQFdXJpkaHqa680umOLRSVuafTKlhPi8EVaZ4hSV/\nRq7DY47JP5ny4y0ZGqIB1ivMpxIPXVoEwH9qhPe9D/jrX+lnJlNyeMItzKeqVn7I1A9+AFx6qbsy\nlUxSCE5+bjcyJStzb3pT4rAyMz7u/F3zIkVuk4ODNBE0N9vbs87X4pdMcbiId9ZlE+bjXXBeYT4m\nU2NjmWTq6af1auSDD9oJJ6tA8m6+8nJL+ZPVh0Qigb17gWuvzbzu5z8PvO51wDe/aREwbl+MKMiU\nHObbvZvmjxUrgEceyXyvW5gPsCcr5QW3bj5QlSnAUu78hvlkZUolU9ze5bQIAHDMMXrPVE8PXcNv\nmE9Vw2Rlav58bzLFRFsmQvJ4w2NSWRmRqV27qMwdHVa/D6JMcZgvFsrUs88+i2OPPRYLFy5EVVUV\nLrvsMjz44IMZ79u5k5ijPGBGgcceo0zDX/6yPR8Go7PTWoUedZTlm1LDfPLkDmRWekcHffm6E7LD\nhPl6e+n3c+Zkkin5rCNdR5WN207K1MMPWwkTR0fpOvxcvJVYhhzmYzIlh1jURi4n7QRoIjhwgJ7h\niCOyJ1NyR/BDpnRhPi8EVaZ4IFCVKVb3Wlv16mgQsJwvn+MVFryICRrmc1Km/KZG2LOHQltCWMpB\nfT19t7qty2FSI3R3k0FYnnx1BnTeZef23E7KFHummDi4KVPNzZmGYyaxch2pK3kgM4TjBNlz5Ded\nghrmkxdaMnbvtkgnqyX8vfMY0NhI5XzuOapDNVR3xx1W4lzAIvLq2XyA3jf1wgvAj36UOV/s20dE\n7Sc/oVxygJ5M+ck15bS4ACxlanKS0tLMn0/pPZ54IrO+3MJ8ALUzJs39/f6VKcAiml5hviDKlJwW\nAXD3TB19tH8yJZvPAbtnat48uh5HeXQLXibaTsqU/Ex1dfTzmjX03fNYwucE8tFX6vPr8kzFQpna\nu3cvjpTiKPPnz8de9RA80E6044+Pnkw99xxw8cXAO96hP5iyowMoK0sC8B/mAzLlQGbSaqhOJlNq\nagR1N5/OgM5kT014WV5uD8/oOqqXMjU5aR3ODFAj4lAc4JzrQ1WmGhuta6qNXI7V0+eTOHiQ3u+k\nTPHKTPccjKBkyinM54agypQTmWJlSpXeGd/+tv82zxNVTU10nqmhIYtMBQnz6XJMAf5TI3R20mTX\n30+f4az3zc3cL+1+LK8wn9tgd+21pEotWGD9Tu3D6TRlvA+iTMlk6tlnyTM1OEhlc1KmmEzJ9SRf\nU0RhJAYAACAASURBVK4jna/FrzIl13tLi7VocoOqTHFbVsnBiy9au1ZZxVAn3BkziPAcdZT+nLmu\nLnvdOoX5gEwylUwmsXMnfV4933D/fjru5bjjrDFfTtoIRBvmO3DAyqrf3AycdFLmyQleypScHNON\nTKlkBLBM6PLYK481XG9ynkQ/ypRMpvbudc4zJZMpr9QI6uJAVqYaG+l1X59d5JAhh/l0ypR6/YUL\n6bvgEB/fs78/U5WSy8OQw3xB5oJK77cER5lum5QG3/rWVaitXYjbbwe6u5uQTJ52OETBE0I2r9es\nAU48MYkdO4D9+zP/3tkJpNNrkEwCRx6ZwKpV9PfnnwdqahKorwdeeSV5KIRmfT6dBkZHrdePP05H\npdTVAd3dyUM7ghIYGAA2b04eOusqgdFROuy3r49eV1Za5amtTeDAAXv5OjqAadOSeO45ul86Dezb\nl8SsWcDgIN1/587koVWw/fmqq0maffzx5KFJOIGmJuBf/0qiqYmOvwCAp55KoqsLGBujv69bR+Uf\nGEigocFenqoqSrzJf58xA+jpSR5SXOh+7e309+pqq3xcH42NwBNP0EA4f34Cg4N0/e5uYPbsBIaG\ngJdfTh7qnPT5VatokhIigbIyej+FVenv4+NJ/POf1vNs2cLJE6362LcPmD49cSj7eRKvvAK87W3u\n7Wf5cnqev/89iYoK7/ZWXm7dn5+3uxsYG6PXzc0U4pQ/LwTwX/+VxOLFwIUXul8/kUgc2iSQxKZN\nQCrl/X4/r7dsoefr708cmkCt8vP7ieTaP59KUf9Qr9fbm8RLL1nPs2dPEq+9Rt9HXR2wdWsSf/sb\n0N2dwObNwCOPJA8N6vT+mpokHn2U2qt8v8rKBCYm6PXmzcDrXmf9fc8eKr/u+b7//SQefBDYssX+\n95oaqk9+3daWwOzZwPr1SaxfT5+fPh04eNBeHzt3Jg+R8QSmTQMmJ+nvrBA8/ngSc+YABw9SfT73\nnL08HR1JbNgATJtm3X/PHioPQP2JdoXR+FFWZr//rl3JQ0TN/ftdsiSB6mp6PTgIdHZmvn/NGnq+\nykp63dtLEydNqIlDE0jykGJvff7hh4G+Pvo+1qyh/lpdTc+zaVMSk5NAYyO9Pvpo6n9DQ/b20tWV\nwPCw9Xp4OIHaWro/+ekSqKigvwsBpNPW/desWYPdu+n1ypVJvPvd1ng7MZHECy/Q99neTu9/9VVg\n6VLr83R0mXv9JRL0/fX0ZPYHgMb7jg7ggQeSh/KS0d9f97okfvYz4B3vsN6/dy8wY0bm9Yl4JA+R\nPmpPTz5J411trb1+zj47gV27gB07kujokEP4VL5UKnHoFIHkoV1v9Pknn0weWpTQ+3fsoPlwcDCz\n/9bU0PM+8QSNl1zeAwfWYM4cGq+eeorG+2OOofZSVUX9HaD66uvLrK/XXqP6ppCx9fdp02gRsmkT\ntddZs4Df/jaJadOof6j1VVVFz7N2rTU+pNNJPPkkcOmliUO73K3rL1gA/OEPyUMLFXr/+vVU3+r4\nwuWRy9/bS+15715a+H3zm0ns8LMlW+QAzzzzjDjvvPMOv/72t78tvvOd79jeA0B84ANC3H23ELt2\nCTF/fnT3P+YYITZsEGJ0VIjKSiHSafvfv/ENIf7rv+jnP/1JiHe8g36+5x4hPvABIf6//0+IM84Q\n4sIL7Z877TQhXnjBev3DHwrx2c8K0dkpxOzZ1u+PP16I9euF2LZNiIULhaioEGJ8XIhLLxXiiiuE\nePe7rffecYcQH/uY/T6/+50QF19MPzc2CtHTI8SsWUIsWybEQw/R7888U4h//Svz2a+/Xoj//E8h\nUim6rxBCfO5zQvzgB/Tz3r1k6/zHP+j1/PlCXHWVEN/8Jr1etkyIVavs1/zoR4X46U/p51/9SojL\nL6dn/8xnrHt+7WtW3QJC3Hmn9flPfUqI228X4thjhUgmhZgzx3q2m28W4sMfFuK226zrMSoq6DkY\n+/YJ0dZGP593Hn13jCuvFOKuu+yfv+EGqovt24U48sjMunJCY6MQ3d3+3vvHP1I5zz/f+t0tt1Cd\nCyHE5s3UHmUMD1Md7drl7x4dHUI0Nwvx5z8Lce65/j7jhcsuE+ILX6B2/uMfC/GJT2S+54IL6Plk\n3H+/EBddlPneK64QYuVK6/W73iXEww/Tz/fdJ8Qll9D3V14uxFFHCfH000K84Q3W+xMJuldDg/26\nP/0ptT8hhPjKV4S46Sbrbx0dQrS0ZJZlZIT63V/+kvm3971PiN/8xnr9j38IsXy5/T1bt9LnZVx0\nET27EEKceqoQra30c3s7tednnxXi9a8X4oQThHjlFRp7uB+l09YY8NvfUl0IIcTatUKccgr9fO21\nQvzf/0s/r1pF/VDGli1CLFqU+Ty//CX1Kca+fVbZJieFqKqi+mC8/LIQ1dX2vvPOd1Jd/frX1C6e\nfprapzr+XX45/b6zU4jvfU+IL36Rnnf9eupn118vxIED9J5f/EKIo4+mupTR2CiEPBW89a1CPPGE\nENddJ8S3vkXfxeOP098aGmjsk3HxxUK85S1CfPzj1u82bbLq5uqraWwSgvqK/Jxf+xrdwwsf/SiN\nyzocOEBj8R//KMR73mP9fvVqIU46yf7ehQtpDlCxfz/VEY/Jc+dS23rDG4R48UWaZxh79ljfp4yG\nBiF6e4WYOVOIri7r9/Pm0bjS0yPEjBnW73/7W2r7d9xhrzshhNi9mz7HbZjxve8J8elPCzFtGr2+\n9lqqv4oKIb7/fWuMu/lmIa65JrOML74oxJIlNC5ccYX1+3e/m+Yx/q5OO414wOLFmdcQQogFC2gM\nl8eCRYuoTwiR2Ye/+EUaL7/8Zet3L79M9TxrVub1u7qoHhlctw89ZJ+rhSDe4oSchPle//rXY8uW\nLdixYwdSqRR++9vf4oILLsh437p1JI9GGebr66NwwXHHWduD1TCLLCc2NVlSXlDPlJ8wH1+7stK/\nZ0ou34wZJKv29ZHfyG+YT5Z/ZX8Ty9zycRBNTZb0rvNrOBnQnfJMcV0xOEShC/M57ebja8m+Kdmb\npda5mwHdb4iPEcQ31dVFoWI53OQV5uP3+vU/jY1ZYeIod/NlE+YL45nq7CSTcEcHhdblEMzs2fQ9\nqTK8mgGZ2xngLMNv2kT3PO+8zL+p/oj2dvK1eT23224+DvPV11P4Y/t24A9/IGMyQN93fb2VhTub\nMJ9qLmasXGn3IMkh9rIye6hvZIQ2n8yda/d2qWE+p/a5bh1ds7vbfTcfQMlx1ZQYExM4pM5bv2N/\nEn/PXp6pnTtpEwMfGQLYN5e0tlphPtUzpTvWaPduYNkyu7fLLTXCrFnU5rZts+8IPuMMuq+ct9Bt\nNx9gz+fkFObbto02sajQGdABa1xW+wrPXW6eKdWAXl1tha8BalednfRMs2ZF45maPp3Gyg0b9OZz\nIDM1AuDsmQIozNfVpQ/zyXWiPj9A9+G0H7EwoFdWVuLOO+/ERRddhDPOOAMf/vCHceKJJ2a8b8sW\n4IQToiVTL78MnHKK5buYO5c6m4yODpK5AXsc3S3PFKA3oLe2WuY+7pAymerpsQZMv2Sqo8NOpvbu\npXs0NfkjU+Pj9oYnNwonMuV0CCbgz4DOjVTueIze3iQOHKBB+4gj6N6pFA6FBfyTqWwN6Pv2+dvJ\nx5B9UzrPnYzubppAnXbz8XemZpAH3PP4yGBiwhOXDp2d1i4mlrDdoHqm/CbtzCY1Ak+qnZ10z4UL\n6XxElUyRDG+/ruqZkv9O4bbMSZ+NwTqoBnTdDqIgZOqZZ5KHDeh1ddbuzfvvp3FHCMsvpd5fvqZq\nQFfrmM3TcqoAIchoy749wF7vgJ1Mffe7wMknA5/6lN3bpRrQ+/up/cr1lE4DmzfT4rery+6Zknfz\nVVUBv/417aRW+yiXUx7vnI6TAfSeqR07gPe+lwgzf0cymZJTF6hkSpfv7Je/pLb4yivW79w8U+Xl\nNDa/8IK9jVVUUM4p7npCOI/R3NeYuFCYKRiZ0hnQ5WdUfavcpoMY0LdvT2aQqfZ2aiszZwYjU06e\nqdpaImbr1zuTKZ5/ZIFAHgvVxQd7JGWyO306lVPnmWIfpRDWpoHy8pgY0AFg+fLleOmll/DKK6/g\nc5/7nPY9vBPOiUxlc+DsmjV03pd8D3VC7Oy0zuGSVQiZTA0N6ZUp1fU/axZVPBv8Jictk25tLX1B\nbmRKt1rq7LRWyzNm0Gps5kx7JulslSmeyLnD6nbz+TGgu6VGAOwdubGRcn9UV1sKCyetU3c8yghL\nplgt2b8/mDIlE+wzzqBJxAnd3UQOnHbzlZdTXckTHn8XUZKpt73NyiLuB35380WVGmFoyFokHHcc\nqSnyRNfcTN+TunJ0M6CXlenVKfXwbxmqAZ135KrP7Tc1Ak9q3OePPpoSdD72GJV7YCCTTMlnsTmR\nKZ06rB6GvH+/tUuWIecWAqi+eTfpCy8Al11Gk7ObMtXfT9+NfK+tW2lMOuoouzIl7+bj+37gA/Td\nqOSFFVqdAV1N2glkJu4cGaHyHXUUJTolz46eTAnhrUwJQWRq6VKLBAHuZIrv8fzzmbnqzj6bDu3m\nsnK2bhUVFRZxArJTpmQyJd+DSbfaDryUKV1qhKoqer88pnd0ZJIpXXsFrLnVLc+UTKacFrw8/zgp\nU+qctXAh/a8qU/w5FZwkdnzcHlUoqgzoJ51E/7NUruKUU5y3GjtBJVNz5+rJ1HnnJQDYVQiZTAHe\nYT6Z0PCqjvP38BfEyUEB/W4+P2E+JlN8xlk6TQ3RbVKTG57MsGVlirfcy2RKF2IIq0ydfXYCW7ZY\njbSujp6xro6eX5cBXX4WhkqmkklapX7uczSg6sjUk0/SaeInnJBZV07gTjQxQddVz92T4USm5Fxd\naqgvDJnShQaFoEH3scfotd88Uy0tVL+9vdEk7XQL87EyxWTqhRcylan9+72VKZVs6aR4NzKlC/Op\nZKq62tqmz3BSps45J5ER5rv3XtpZdtRRpIrKiXDdwnw80ev6IL9HXmCuWUOkRSZTqiIhK1OcF0nO\nfSaElSmcx6L+fvqe5HpiS8asWfQ8cp4plUwxVPLCfUBVpvhsPjnPFJCpTB11FJmLy8roXM3nnqPf\n68jU4CB9XlZaVHK3ejU9/5e/TBnbGV5kqrWVFliq+imTKae0CHLdhFGmKiqoztWt/rIyJX8f3Jed\nFssVFVQGub6WLCFzuTym68jUtm3U7lXU1FA/6u52V6ZmzqRrhFGm5GdiZcovmeK/805FHruL6my+\nxYvpf50yNTZGJMLprCsnvPQSrTQYbW2ZYT55y6wsn6tkSg3zqatalUwNDWWy8Nra8GE+WZkaHLQa\nj5ovA7BSE/jxTKVSVBYmNKkUDV7qcztlQHc6TgawE6OWFuosrAbW19MAn40yxdfnCeGCC6juR0cz\nvS+vfz35Zu6+m87Q8gtWpg4epHYhhwBUeIX5gMz8L9mSKSfPFG83//vf/V0PsCbsGTOof4QN83kd\nJ8OeqTlzKB3K+LhemQpKpnRSfBBlSueZKivLfHavDOhymG9oiBLqzptHz+Q3zMcTvW7CAzK39vPC\nUVWm5P4rK1MqmRKCnpGVEl4Q9vU5kyleGMieKTnMJ8OPMhUkz9TOndZEeeaZlm9KR6ZUVYrrWCZ3\nd99NvrZEgkgQq2Bueab4HkCmMnXyyTRm7N9PffHUU52vIZMpWZniSZ3L4qZMjY4613kQzxRAZenu\n9vZMdXTQ2CaTqc2bqU+rKCujNrt/v16ZYiVs1ix6XicyVVtL5ZAX06oyJV+/sRG45x77SR5yXevA\n9cNpEQBrUe03C38slCkdmeJkm2o+ETekUhRLP/lk63dqmC+dpgpasyZ5+N7TptkndL/KlLz6YFIQ\nBZnyCvM5hfj4HupK0YlMsbFZ7mgNDZlZ1Z3yTLkZ0OUBfcsW2vYrK1PZkim+/mc+Q1L7Rz4C3Hgj\nJYNUV4onnwzceivw1rfqiacTWJ7mTMduhL6rywoh8uQjh/mATPOwUx4fJ3iF+XbtImP3unX0nfj1\nTNXV0bO2t+c2z5SsTLW2kjIF6JWpIGE+IHiYT1WmdGE+wJtMcSjqn/+0PFP19TTxVVUBF15IE7xf\nZUqe6J2UKTXp5Jo1wDnnuIf5WJkaHqbPtrRYRx319FC75H6phvnclCmeCHVhPoZOmZIP8p2ctA6X\n9+OZ+utfk4dDOGecoQ/zUXoK+l51ZEquv4cfpjxkc+fS57if+wnzAZltrLwceMtbKMfRHXcAn/yk\n8zVYlQeoDplMqUTeTZnyIlN+PVMA3bu7204iN23K9Ez19dmVqdFRqn/+XlQ0NFAfkO+p80wBzmSK\nkz67ZUBXn+nyy+3zGKtvTsoUL7LkqEJVFd1HHQOdEBsype7a4ESa69b5v14yCSxZYm8Qapivr4++\nYDkxIIf6vJQpXZiPd6/IO5bkTlxba2fFOs9U0DCfF5nibLFeBnSe8Ngb47Qi1oX5mHCo50Ppwnxc\nR7owHyf2C7qbL5fg9tDeTqtPL2Vq1qzMBKv5DPPt2kUrwze+0QozeIEHIFamdJMHeyl0n1PhJ8wn\ne6aATGWqoyP3YT4/BnTAvzLFyRPl+ty+na45bx5NJLIyJX+HTmRKXh3L0IX53vY2b2XqwAFabBxx\nhDXBsDr17LN0ADNgD/Opnqlswnw6ZWr+/MxDdcvL7WE+2TMlzwsdHZYytXgx+TCHhuxkirOwb9iQ\nmQBSDqVyebidJBJWqM9PmG/27MwjXgAK9f2//0dlO/9852t86lOWmlNdbYX5AOt7GB6m71bn92Rl\nSu0vXOdBPFMAPQv7WBnsmVLHdPbXpdMkdixcaJ/TZDCZUsN8smeKx0onMsULAl1yaMDZs6WipsY9\nzDc6au+rQDATekHJFPtYeCUimw337KEOH0SZuv9+ktdlqGE+nuhkXwnL52E8U7yq4x1+DD/KlNzB\nWf6UpUY1zNff79x4dIOb6pmaNYvuyQOvnB1Xd12dMlVRQQPOwIC3MnXuuZQojp9Jp0ypGdDlZ2Ho\nzlXKBWRl6s1vpvbjtBlCJlN9fSQJq2G+qMiUU5iPD/R8+9spvODlmZqYoH+cOiTXYb6qKmpDu3fT\nBDd/Pn3Xs2db7589m/p/NmG+bA3o6XTmYbhOz+7mmSovt9IfANa9dWTKT2qE/fv1E4sc5hsYoOdc\ntszbM9XZaYX4GGxCp0SF9Dt5N58a5nvtNZr8g4T5dMrUkUdai0e5LemUKTZZMyYnE4cVkKoqIncv\nv4yMczfb2mgB5BbmYysE1/8551gmdD/KlNNu0bPPpo0gH/uYM8EAgKuvthQZOcwHWGPi9u1EVHSq\netAwn19lSiaIZ5yRsO2Ak8lUWRmNcatXW4sjHZzCfEGUKSZTqjLllBrBCdOne3umDh60j0tB0iMU\nlEzJDVYN9e3ZQ2cebdyYqVrpMDEB/PGPejIlK1OqagBYk2cQMjUxYZ1Uzc8yPGwP0QHBw3ysbPEK\ncsYM+nvQMJ+qTMm7+VpbLTWIyZTbqkVWpuTQJh8p4+WZAqzwAtdVZ6dFppwM6KqKkC8yxcpURwdN\niCee6KyQqsoUGzblCS1KZcoPmfICTxZlZfQdTkxEY0B3CvMB9Jlt22iSLi8H/vQnu2lVVm5keJGp\nuXMtFRugOu3vtw+IMuQwX1cXTQy6NqU+O4fE+Rqysk2Z5DPrkD1TQcN8TmeUyWG+V14hdWbmTPoc\nj5G63XysTMlk6uij6ftIJq2jdKqqiMx0ddnJFJ38QN+hHOZz2s3HUMNqfsiUX88UQIra00/T88tq\nQmurnkzJhJXPIOVx9owziJgJ4Z5nCiAC+/GP6/+2dCn9++hHnT+vQjagA9ac4BTiA9zDfOoCF/Dv\nmVLP5lMN6IC1KJ45k5RNnV+K0dBA36tOmZLJVGWl3RohQ6dMyWNhEGXKyzOleu2KRpmSoe7o272b\nJrGWFpJMvfDUU5a5UoaaZ4rJlOwrCRLm4wGGv0DujH6VKcBOptQcVSoZY+KiKlNBPFN1dRbBGhgg\ngimH+bghOTVKnQEd0CeI0ylTyWQSs2dbZKq+3h7mGxnRn4yu+lsKoUy1ttKuUl2oj1fkHN5hAqYO\n4joyVV0dPZk6/XRSEP7yl6T2OnfeSdv25fQG8gYKFVGlRuDrDw1ZoZdzzrF7GmbMsLb/y/AiU4sX\nU0iHwTnFnDxysjLlFOID7GSKc1nx88jKVDKZPLwTSp2k2DMVNM+UkzIlh/nWraN2yflweDOILs+U\nkzK1ejX9njfslJVROfbvt3umOBzDZyjKnimvMJ+qTMlhPnli97Obb/PmZAaZ+tOfqI/KbcmPMqWO\noUcfTfXEZ6C6jTMLFlCYToeqKjrD0EkZ1cFNmXIiU37CfHI7kMd4v8rUq6/SETUqmeJxnJUpLzIl\n/8/XkZOEzptH9hynPiuTKT9JO53gFubjMqnK1IwZ9rQ2bogNmdIpU/Pn02DpJ9T3+99nqlKAlZCS\nV0M6ZUoN8/Fk4aZMqVtfWZlSyVRdnT08wM/KKC+3D/DqYY8ymfLjmeJYsiyJyvl4dGTK7URxLq+O\nTLkpUyoRbWnRh/nKy+kzvb3eYVV5ZZJLyMoUkymdCZ0VB7l+d+2yr56BTDKlC6O4QfVMCUHm2ZUr\n6e9Mpior6bvVHawMAL/7HYUgZBO5HKZWkW1qhMlJmgTlgYvzrjmt+HmizoZMyeODW4gPsBN03U4+\nhvzs+/bR98VqlEymuIy9vZn1wmE+VZnS5ZniSVAIZ5Inh/kOHrTGCXlnlRrmY2VKR6YeeYQM06pS\nzmSKExnKB+DOmmXtHvUT5guqTDl5pthALyt2p59Oi2hVxWtry/SuynUMZI6hFRW0ieP5591VqVyA\nlSn+3mRlSpdyAKDyjoz4D/MxQezudlamenrs4wC3CzdlauNG7zAfl4shJwmdPt1KguoEOcznlBrB\njzLlFebTKVP/9m/AFVcAX/mKd4QstmSKO/9JJ/kzoT/yCHDRRZm/LyujzsU7s3SeKTXMV1FBFa8L\nO/Hkrp4ILhvQZTLkpUzJnwXsaRG4bECwMB8b0OXOxHLlwIAV5pN38znlIAHseT5SKavDcXqEgQF3\nMpVIJHDyyZQVmZ+XyRTXUXe3e30DhVOmlizRK1PyJMmxdSY2MnTK1Jw5wZUpzimTTgPPPAP8/Of0\n9507rXvOnQssWJDQXqenh8onq0vyBgoV2XqmONQkqwX19foT4WXMnp05OcgrUB2ZPvFEGtBZ2fUi\nU7Iy5FeZUsMt8m6+RCKRlTIlp2Lh+42NUZuaNk1PbuUwn7wolMmUqkg0NFC9bd6cGeYbH7f8Uoza\nWnqWmTOtRZRKpvyG+YIoU067+fh7feUV4KSTErbw6imnUD3qyBSQSaa4fKmUfgxdvJjCVm5pEXKB\n6moab1Rl6qWXrPRBKoJ6pgBqY26eqa4uuzJ11lkJAHrPFEBtRIjslKn+fvrO3XxlDC9lymneUuFl\nQNd5pr70Jdroce+9dgVch1iRKZn5BVGmOMu105cqh/qclCk5zAfQ5OK2m0/tjNmG+fg9vFrzE+bj\neL8OsuwuNxz2TalkSvVMuRnQVZ9BYyPlaRGCJjVAH+YDgJtuAt7zHvpZ9kzx8+vIVKHCfKoydeqp\nwL/+Rc94zTXW+2QyJStTfshUa2twMgVY329PDxGq3l4qB08ouuOTGD09tEjRKVNRpkZQJ3S+vpMK\nxJg9OzsD+syZ1plo+/Z5K1Nc705pEQBvMiX3YSfPVEODZbxnMsWEeGLCPt6UlVE/eO0150zQcphP\n3vGnkim5jvh8vpdespumOfmlSqbk8K+cD0gm37yg8wrzBTGge53N9/LL9mTMANXdSSf5J1NymXRj\n6EknUSLQQihT8kkZtbW0KHjpJcvPpqK8nL4bpzCf7vuoqbFO61BRU0N1onqm5P91ZKq21v10iYYG\nuqd8XV0aBjc4GdDdUiPo4KZMOYX5AGqzCxd6h/tiRabkQbO7mwbfxYu9lal9+6gDyasWGbIJXeeZ\nUpUpgL4ct7CTSqacwnzZkKkwYT7ZgC53Jjcy5Tc1gnrfj3+cQk3PPWc3EHNOD4aa96iujsoiH/gp\nr8wYqjKVr9QIsjLV1kbfx44dwI9+BDzwgPU+WXFgMqWaZIHoyRRn6k2lgPvuo8FMPovyySeT2usw\nmdJ5pnQDW7apEXRkyo8ylU2YD7AvuKJSplpb6VqAO5lKJpOorNQrUwB9H5OT9n7DZeANIIz6eiJT\nTmWSw3xypmY3ZQqgeu/rsytT06aRh47TIjDYG1Vfb5VTTmLJu7j8hPnksBqfUTh/vnX6gh9lisnU\nmjVAXV0yo05OPz1zMncjU247ok86iZSpfJMpddNObS1tpjr7bGfC4RXm07WD6dPp72oeQf4b35vx\n4otJW/l0ZOq449xz+DU0ZN5z2jRqr7rUEjq0tBDJUb25Tkk7neBlQB8ZIdKm27yiO7BeRSzJ1N69\nNAhxHHvLFvfPqn4AFX6UqaBkSvVMRaVMuYX5eFXFubJ0cFOm+vu9d/O5GdBVMrV8OalNckepqsrs\nxCrUU9P5fz+eqXwpUz091Hl4QG5ro8Ft3z5rgFeVqb4+Z2Wqu9vKpMueqWzIFIdVenrIOHz33fb7\nzZ2r7/RCWGE+VZmSw1YyVGVqfNxKqaBCDfPplKlswny5IFOyAd1JLZM3HbiF+QBLmdKRqXnzrPM7\nGUxA1B2sdXV0Bp6bMuUU5uNVs+qZAqgNc6ZpGVddlfm919VZaoKsTMmTLO++4r7uR5nifEW1tZav\nM4hn6uWXLZuAjOuvBz7xCfvv/ChTTmE+pwS2uYSOTP31r8C73+38mWzCfPLmKhVyuJnh5JmS252b\nXwqgOtadBaj6s9zAJKirK1OZUkm513XcwnxdXZlHEDHYK+iGWJIpOZs1y8pu5i9d9msZbAQFnPNM\nqWG+yy7L7LxeyhSzZ/n3LS2Z276zDfNxvp4DB7wN6G6eKdWAXllpTbZuBnQ3RYyhpgUAMvMencCn\nIgAAIABJREFU8T3U09PjEuabMYMIelOT/buaNo2+S25LfsN8nCOKVQVWprwM6HyUgS7M19sLXHwx\nbQ1XyVR1dSLjWkNDNADv328PSTU2Ok8e6m4+JmG6lW2xKFNym3IL87mRqZoaq12wZ0oIdzIlQ1am\nVDLlV5ly80ypdTRnDi02dd+bitpaq4+r+YAYzc32Q3r9JO2UVVxO1Ou1m4/9gZOTtAFkxYpERnnn\nz89sV3Pn0nV134fbjuhjjrFvQMoXuK/IZCqVcidTnBohSJiPlSkddMoUj9uydYOPHwNow9dXv+r+\nbA0NmQt0VqaCeNNaWmjcVZWpsTFrE5MXvAzoe/boCThQZMqUnBpBzolSXm4/jFgHL2XqiCMsyd5P\nnikA+NrXMgc13r0G6A3oO3ZkbtP94hdpJwCg383Hn+UVnC7M91//ZTWC+npqVF4GdC/PFCftlHPn\nHDzorExNTNB9vXwvOjKlggcrVaHyY0DP126+iQn9sy5YQKE8wL8yBVhHyvAAMGuWtzK1fDmFUJ3C\nfO96F71WyZTOM9XbS8pPczNN2LIy5TSoqcqUU1oEuVyAnkwde6yzmZbR0uKtTOkGw1yE+U4+mewF\nk5OZZGrRItqUIJcR0NfNvHn2HEhyGVQyxWE+J2VKJVNOnimdMuU2PsqQyZSaD4gxa5b9VAc/STtl\nMsW55fzmmdq6le6pjttOaG4ms7COPLopUxUVlEg6DsrUKafoxxGGkzLFmxSclCmniIZOmVI9UzNn\nAp/9rFWvCxbQ+adu0JGpmhoqYzZkSlWm/KpSfF83z9SePc756Ti64IbYkCl50Ny92640yYfq6hBE\nmWKvgZpnSiVTOsgTlc6Avm1b5gRcXm4NDtmE+crLgf/+b+s154HJxjPFp8fz+VjywDt9Ov3dTZna\nuJHCrm446ijgZz+z/07nmeLnlv93M/wD+VOmOGWDF5nau9eajGfMoO/fafXHKxtuN7ocTjLGxkgZ\nee01ZwP6vHnAm96USaa2bElmXI8XEUceSRONTKbclCmVTDkNXF7K1LXXAh/8oPPzAsCHPkTvk+FH\nmTrxRCJTv/89TZRuY4HcptzCfE1NNIHzeYcy6TrrLOAb36CfOc+UakpnzJ3rn0x5KVOy0uPkmdKF\n+ViZ8oO6OmuR6BTmk5Upr918fpUpHmN0nik2n6vjiBuc2oDXJp7Fiwu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}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have two new types of parameters estimated here compared to an ARMA model. The delay and the threshold(s). The delay parameter selects which lag of the process to use as the threshold variable, and the thresholds indicate which values of the threshold variable separate the datapoints into the (here two) regimes.\n",
"\n",
"The confidence interval for the threshold parameter is generated (as in Hansen (1997)) by inverting the likelihood ratio statistic created from considering the selected threshold value against ecah alternative threshold value, and comparing against critical values for various confidence interval levels. We can see that graphically by plotting the likelihood ratio sequence against each alternate threshold.\n",
"\n",
"Alternate thresholds that correspond to likelihood ratio statistics less than the critical value are included in a confidence set, and the lower and upper bounds of the confidence interval are the smallest and largest threshold, respectively, in the confidence set."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"setar_mod23.plot_threshold_ci(0, figwidth=10, figheight=5);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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ZH/4PUx4fGE9EREQa4ejoKO2609iLXXr0g0Gbgajt38YvAhERKUOZ4EqVFwAIgtDkq7Yp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\n"
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As in the ARMA Notebook Example, we can take a look at in-sample dynamic prediction and out-of-sample forecasting."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"predict_arma_mod30 = arma_mod30.predict('1990', '2012', dynamic=True)\n",
"predict_setar_mod23 = setar_mod23.predict('1990', '2012', dynamic=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ax = dta.ix['1950':].plot(figsize=(12,8))\n",
"ax = predict_arma_mod30.plot(ax=ax, style='r--', linewidth=2, label='AR(3) Dynamic Prediction');\n",
"ax = predict_setar_mod23.plot(ax=ax, style='k--', linewidth=2, label='SETAR(2;3,3) Dynamic Prediction');\n",
"ax.legend();\n",
"ax.axis((-20.0, 38.0, -4.0, 200.0));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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N/Prrr3Tv3h2AjIwM9uzZw48//sjSpUtZvHgx69atY82aNRw+fBjA+oEgMTGR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67QLF4MDBkyBAsXLkSXLl2YxFLGD+xYkuHkw/zixYvYt28f8vPzTYlNRkaNosl5V6+ae1xN0zBp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\n"
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It appears the dynamic prediction from the SETAR model is able to track the observed datapoints a little better than the AR(3) model. We can compare with the root mean square forecast error, and see that the SETAR does slightly better."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rmsfe(y, yhat):\n",
" return (y.sub(yhat)**2).mean()\n",
"print 'AR(3): ', rmsfe(dta.SUNACTIVITY, predict_arma_mod30)\n",
"print 'SETAR(2;3,3): ', rmsfe(dta.SUNACTIVITY, predict_setar_mod23)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"AR(3): 596.858339226\n",
"SETAR(2;3,3): 570.666050491\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we extend the forecast window, however, it is clear that the SETAR model is the only one that even begins to fit the shape of the data, because the data is cyclic."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"predict_arma_mod30_long = arma_mod30.predict('1960', '2012', dynamic=True)\n",
"predict_setar_mod23_long = setar_mod23.predict('1960', '2012', dynamic=True)\n",
"ax = dta.ix['1950':].plot(figsize=(12,8))\n",
"ax = predict_arma_mod30_long.plot(ax=ax, style='r--', linewidth=2, label='AR(3) Dynamic Prediction');\n",
"ax = predict_setar_mod23_long.plot(ax=ax, style='k--', linewidth=2, label='SETAR(2;3,3) Dynamic Prediction');\n",
"ax.legend();\n",
"ax.axis((-20.0, 38.0, -4.0, 200.0));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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H5ObmsnDhQpo0aVLhY3LG7L333uOHH36ga9euAGRlZbFhwwY+//xzXnnlFebP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\nLSM5tz0Xn+kAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print 'AR(3): ', rmsfe(dta.SUNACTIVITY, predict_arma_mod30_long)\n",
"print 'SETAR(2;3,3): ', rmsfe(dta.SUNACTIVITY, predict_setar_mod23_long)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"AR(3): 2058.19485457\n",
"SETAR(2;3,3): 1780.4834598\n"
]
}
],
"prompt_number": 17
}
],
"metadata": {}
}
]
}
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