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@ChadFulton
Created March 20, 2017 14:45
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TVP Regression
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{
"cells": [
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from __future__ import division\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt\n",
"from pandas_datareader.data import DataReader\n",
"\n",
"np.set_printoptions(suppress=True)"
]
},
{
"cell_type": "code",
"execution_count": 231,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"np.random.seed(38194)\n",
"\n",
"nobs = 300\n",
"k_exog = 3\n",
"\n",
"X = np.c_[np.ones(nobs), np.random.uniform(-2, 2, size=(nobs, k_exog - 1))]\n",
"beta = np.random.normal(scale=1e-1, size=(nobs, k_exog))\n",
"beta[150:, 0] += 1\n",
"beta[:, 2] -= np.arange(nobs) * 0.005\n",
"\n",
"e = np.random.normal(size=nobs)\n",
"y = np.sum(X * beta, axis=1) + e"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Maximum likelihood"
]
},
{
"cell_type": "code",
"execution_count": 238,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Statespace Model Results \n",
"==============================================================================\n",
"Dep. Variable: y No. Observations: 300\n",
"Model: SARIMAX Log Likelihood -452.667\n",
"Date: Mon, 20 Mar 2017 AIC 913.334\n",
"Time: 10:03:27 BIC 928.109\n",
"Sample: 0 HQIC 919.249\n",
" - 300 \n",
"Covariance Type: opg \n",
"=========================================================================================\n",
" coef std err z P>|z| [0.025 0.975]\n",
"-----------------------------------------------------------------------------------------\n",
"var.const 0.0035 0.003 1.371 0.171 -0.001 0.008\n",
"var.x1 8.115e-11 0.000 4.54e-07 1.000 -0.000 0.000\n",
"var.x2 0.0025 0.002 1.354 0.176 -0.001 0.006\n",
"var.measurement_error 1.0738 0.098 11.007 0.000 0.883 1.265\n",
"===================================================================================\n",
"Ljung-Box (Q): 52.50 Jarque-Bera (JB): 0.12\n",
"Prob(Q): 0.09 Prob(JB): 0.94\n",
"Heteroskedasticity (H): 0.73 Skew: 0.03\n",
"Prob(H) (two-sided): 0.12 Kurtosis: 3.09\n",
"===================================================================================\n",
"\n",
"Warnings:\n",
"[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n"
]
}
],
"source": [
"model = sm.tsa.SARIMAX(y, order=(0, 0, 0), exog=X,\n",
" time_varying_regression=True, mle_regression=False)\n",
"res_mle = model.fit()\n",
"print(res_mle.summary())"
]
},
{
"cell_type": "code",
"execution_count": 239,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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6bK1iW+0KeQbf+ylWdglKoh7vllep+eo76fOqV65D2fAq6/pcztaIj9KqCDuq\nIzTETEJKEtuMsicZoDFuUBtJcqHyIW9rp3B2iZ+pfX2M7J3J+GenkBh4FvUXPIx33VNkvPcTaq58\nDaNo0mHtUhINuCpWOd4wbxYI4Xz+XH7UaBV2sBA1vA87UIhv7ZP4l/0/6mf+GdWIEHrvp9Re9hx2\noKBFn56tr5M11/F+Nn0/Dsaz9XWszP4IV+Cw+V3Z/s4psqooynIhxOFPFp1bauIp4DQgT1GUcuAe\nIcQ/O2v/EonkC0y0BvasIFl4AmE1SKj0AzQgMvkWzPzR6NUbEaoL46D8nfSN1Yi2Ot2Pvn8NWS9d\nQ/3MhzD6zSA0/y7UaBX1F/6jTVOS/U528qeySzCzBqLXlWK6gvxznWDpzhWE9+ziUTWHl5dtZ3Mg\nn/OnncglE4ronXmYBPBWhBfQLuEFYOY5o7fDJ/0wdfNSDvHoJUrOxfbngbDxrXmCRMlMZ1TbATSe\ncS/2Afu0AwUkAwWojXvImns9Rq8JzjlVVFA1J2z07KU0nvpzEsMuITT/xyhGOB0+bY1k/1Op+G45\nnh3z0Op2EFpwD5mvfovG036NHSzEyhqAd/NcMl++jsTQC1t4BNN9DDqLugv/2WZuVM0Vr7RaRb7+\ngodxlS8m/+9jUMzYEQWJXr0ZgPiwix0xEq9FeLPxrnsao/hErOxBqfIW7sOWwDgQz473sOpKqbv0\nSaJTbmshNsz8UZA/iqFAOrhpm6ixmkOETSRhsrp8POrmSt7buJ+5G8PAfnZ4wVP6Lpu3bGTwwHPw\nrXkC230YcSxssp+7jGTvSURm/Bhwas7pdaVpT5YdLESr2UreY9NpnPFjolO+S2z0VWlvWvW177fq\nWUsMOIO6Wf/C9udjZR06MhYgMfh8vBtfIPP1m6i++t1DBoQgBKH5P0LN7A1n/Kjt4+hkOnO041c6\na18SiURyIGb5CvQ5swlf8QpG8RRio79KfPilmL0nNlcLNxOHhOWURAOuvStIFk9utV8rVIwW3otr\n30qMvtPxbH0D4zDVxyMJkz1mL/bEsyj7eCerQ39neW0dsUQCa2EpgwuCnDBuEvOK3+P7+TDilVk0\n9vs1ycySNvvsCGLjvo5RNAUrd1ibbRLDLnGmPBKC0Lz/Ifjhb6id/XSLMJmVNaDVbfWaLaiN5dB7\nYoubbGj+XWiRfbjLPyL04f9ie7OwfW14Fw9Ec5EomYmSaEQxogQX/87J+wFiY68hMeQCcp84C7NX\n23UXDx7kxWs0AAAgAElEQVRA0dJgD1gGWkOZEy6FtAA3ep0AtkFsxGXEh3/psGaavcZTcet2cAXw\nf/IgoQ//l5rLXyTz7dtpOPP3xLIHkfP4aej1u9h/y/ZDBG+rdpfMxPam5hVtRbC4dy5AuPwYRc5n\n1r/iYUILf0H1V99uca0CHp1pJblMK8nlhzOHsaMqwvKdtTy66iYurX+c616uQnc1MLzX/Yz6VGdU\nUQWjijIpzPC0LEqrqAgUgp/8CeHNJjrpJnxr56DX73TCwakQsnv3x9jenOYBEwfa3tYITd3b6gCL\nA3HtWUrm6zchNDdmXiuRJUVBsZLQzeYU7XY5XxKJRNJRWLYgnDCx4yaZ3mxEqnxAi9wQI4p79yeY\neSMO8YR4tr9N5hvfITL5FsIn/+yQ/oUvh7oL/5lKrhc0nPMAwt2ck7KrJsqCzZUs2lLFjuoItVGj\nxfa9M72cPTyHif1zmDgwn5xAc66Tu3Qeev1OhH74kgcdgfCEMPpMa19jRaH62gV4t76GM5XykUn2\nP5WqG9cdsrzhrPtA1XCXf4x/9b+JjZiNUXTkUXEt7C4YTWzkl52EeZwaW8IdInziHST7zmh3XweT\n+cbNuHZ/QtU3loCwyHn2UqysgdRf8HfqZz50WKHaglRI1cp0BpC59i7DzC4hPuwSEDZWRj+snKHt\nEl4A4VMO/RweSGj+XZh5I2nIG4lwB9Bqt2Fm9sfMbzvbR1UUBuUHGZQfhEk/pyb2E35RWsOn5XWs\n39vAf5eV82RqKqicgJtRRRmMLspkZFEGI3tn4Jp2J56yD/Fse4vopJuo+9IzuCpWtsjdi425mtio\nKzu87pZWtxNwcsLa6rvhnAfI9nevqvidmvN1tMicL4lEcizYtiCcNIknrTaqMDWj1W4j718nkSya\n0mJUHjg5UxnvfD89uq1NhECr24GVPZDaSJJXVu/hjTX72F7llH8cVhhiRO8Qxdk+ijJ96dfCnXPJ\nfONmIhNvJnzqPS26VBvK8ZS+m0oa7l5P7R2NEqvFXf4Ryf6ntDtUejgCi+9DMWOET7n7mPvwbH6F\nzDdupur6j9Aaysh+9lIazr6f+JivHlN/SqIBNVqVKr1x/Pwema/dgEDBtX81yX4nE5n6fYSqHTIA\n5GgwLJstFWHW7aln3Z4G1u1pSM+eoABDCoP8xP8yhYWFBE+9FZfWeZ9XrWYLgSV/JHLi7a2XPUnR\n3XK+pPjqRHqy7RJJTyGaNAknTNr90yZsQvPvIjbqSsxeE47cvhXMRf+P4iW/4OHADfyu9jQsWzC+\nbxZnDC/g1KH59MpsPSdLiVaS/fwV1J//1/Z7Uj6nqOF9eDe9RHzoRdhtTNvUXnIePwNX5Toq7tj7\nmYSrVrstPUIvPWLzM6DVbgdEi1pZx4OmB4qGM35DbPzXj8s+GmIG6/c6QuyT0hpWl9dhC/DoKmOK\nM5nYP5sZQ/IYUhA89rkzOxApvo6C7i6+7r77bl588UUSiQQ/+MEP+Pa3v33Y9t3Jdonk84QQgrhh\nE0maWPahv2ne9c8SXPx7qq96s+0Ri0eJadss2FTJ3E/3sGX7Dv7P9VfWhE6mZvhVzExN69MT0FQF\nl6aiqwqaqqTztxUUVAUURUGhOa/74FuGwDn/tnDqUTW1sYVAkHoVTkNLCEzbblUYN80rWXPZ8xj9\njj1cCODe8T6+dU9Rf/7fjrm6uZL+XwrRVi379lP4ByesXfHdsuM7ObRtoVeuw8oo/kwer6OhLppk\nVVkdK3bVsWpXHZsrGhFArwwvJw/J49zRvRhdlNFlQqy7iS+Z83WMvPXWW6xcuZJVq1axfv16/ud/\n/ueI4ksikXQspmUTN21iSSt9428NNVbjTOastm9E2eEwLJvXVu/lPx/tZHddjIKQh0tmjCNr7Mtc\nkXX887M6AkUBn0vD59LQjzJE1Pq98+huqLYtMG2BZQsM28YwbRLDZjmlCnofvfdRUUBTFFTFEY/K\n4DNJDj0TP454PNjJoCgKekpoKjS90rz9YQSCSIlJccB7cISlEE6eoS0Etg2Gbbd4GIhMvhXbEzqu\nwsu1ewnZz11O7exnOk14AWT53Zw2rIDThjmjKqvDCRZtq2bhZucB5b/Ly+mf42f6kDwm9c9meK8Q\nucHW6559EZDi6xiZO3cu1113HYZh8NBDDzF79uyuNkki+cJgWjaNcZNkKgn4SCQGnetM/tzOpObW\nCMdNXl29hzmf7KKiIcGI3iG+e9ZYZgzOQ1O7PqzSHnRVwed2RFdXhoJUVcGdOmc+UrWtgmMw+z5D\ndsprZtnCETR2sxcNQFWc7XVVQVcdj53aiedfUZSDBGiqxlYb7YVwhKZh2SRPv5uk2b7P7LFiBwpR\nrATu8o/aP4jiOJAb9DBrXBGzxhURSZjM27Cft9fv47/LypizZBcAeUE3JflBAh4dt6bi0hWSpvPd\nDnh08kMeBuYGGJgfYGBegKDn8yNZev6R/OsC5/WiP0LeEFj0IGx+C4aeC9Nvg6ot8EqqIvP1rzmv\nc2+D6m1w0i0w7DzY9AYsfghyS2DWg+3a7fLly5k8eTK5ubkMGDCABx54AIDa2lqys7M7+iglEgnN\nifSxpHVU21nZA1st0NgeKhrizFmyi5dX7SFmWIztk8mPzx/BiQNzukUuS1sogK6paKqCW1Nx62q3\nF4lH64XrCSiKgktzQrtNA+4MyyZpOn+GZX/mcOaBWFkDqDv/b+m5FrsDAY/OrPFFzBpfRCxpsXFf\nAxv3NbK5opHtlREqGuIYliBp2bg1laBXZ1dNlIWbEyQOEKtel4rfrRPwaLhUlYRp49ZVsv0u+ub4\nGZwfZHy/LAYXBFG78XcTPg/iqwuwbZvy8nKuu+46rrjiCm644Qb+8Ic/8NOf/pQ77riDxx57rKtN\nlEg+VwghiCYtIsmjSKQ/APeO99CrNhKddFO7tymrifL4xzt5bfVehICzRxVy5eS+jOidcfQGdBKa\nquB1aWmxJemeuDQVl6YSSEXdmkRYR4mxxPBLP7ONxwufW2NCv2wm9Duyk8KyBXvrY2yrjFBaFaE+\nahBJmkSTFoZp43E5AqwmkuT9TZW8vGoPABlenfH9sjihXzYT+mUxILf75V/2fPHV5M1qYvptzl8T\neUMObXOwd2vYec5fO9m0aRNDhjhDWn0+H9OnT2ffvn28+eabbNy4kfvuu48777zzaI5CIpG0gmnZ\nxAyLmGEdk+hqwrPtLbybXjqi+LKF4L2N+3lueTkrdtXh1lQuHl/E1VP7U9RN87lURcHrUvG6tE4d\n4i/pONy6I5YDHudBw7CcMKVh2SSt1gcofBHQVIU+2X76ZPs5dWj+YdsKIahoSLCyrJYVO+tYsauW\nhZur0uuLs3wsuPO0buNd7fniqwtYuXIliUQCy7IwTZM5c+bw4IMPYhgGV199NbfccuhcYRKJpH2Y\nlk3CdP6MduZ0HbHP7BKS/U9tc71lC+ZtqODRRTsorYrQJ9vHjacO4qJxReR1w6RgBfC6Nby6Jj1c\nnzMURcGtKy2uq5kSYYYpSFif7UHk84qiKPTK9HJeZm/OG90bcFIG1pTXs7MmSsKwuo3wAim+jolV\nq1YRi8UoKSkhLy+Pm2++mXHjxvHoo48yblzb01lIJJKWWLZTesC0BGYq5+NwoxaPldgJ3yLGtw5Z\nHjcsXl+zl6c/KWNnTZSBeQF+dfEozhxR2C3zoxQFgh69yxPmJZ2LrqmOcHADuDCs1HcmNZrSsMRx\n+d70dAozvBSOdGrsdbcK91J8HQMrV67k8ccfZ/ToltM15OXl8cgjj5CXlyfreUkkrSCESHu1kubx\nEVqtocRqnTnovJkAVDYmeG55OS+sLKchZjK8V4h7Lx3N6cMLum2irtelEfLonTqyT9I9cXLGgKaR\nojjfLStVwsO0BaZlY9oC2xYdmtAv6Rik+DoGNm7cyPDhww9ZPmvWLGbNmtUFFkkk3YukaWPaNrZI\nFeC0naKkZisFUDuDzDduRo3VsOq8F3n0w1LeWV+BZQtOGZrPV6b0ZXzfrG7rSfLozggvGV6UHA5F\nUdA1BV07dJ1tCxSlufhtU0Fc50FIhjG7Aim+joGysrKuNkEi6XZYtnCS449Q8LQrMBNR9jUKrnz4\nY1yawpdOKOaKyX3pk+3vatNa0FQeQtec8hAurfuXh5B0f5q8pYoC6gEFcb0uDXCRMK106YuuekD6\noiHFl0QiOWaawohxw2pRj6e70Bg3eOLjXbxZ/nWEZXHphGK+Pn1At6qsrasKnlR5CJemdFsPnOTz\ni0fX8KRcZgcOeDE7uAaZpBkpviQSyVEjhOPliiS6n5cLIGFa/HdZOf/+aAcNMZNzRpZww6mDuszT\npeB4H5qmwFFVJ2/Hrakyh0vSrWhK7j+w7IVpy5GWHY0UXxKJpN1YtiCSNIknrW75RCyE4L1Nlfzx\n3c1UNCSYOiiHm08bzKQ1P8csHUYsu/PmX1UUJ6zj0R2RJT1akp5GuuwFLUdaGqmyF8drdPIXgR4p\nvoQQPe6H7OCJXSWSnoJtN4cW2zuXYmcjhGDpjloeW7yD5TtrGVwQ5O4LRzJpQA4AnrnzUWyT2HG2\nQ8EpmOl1aal8Gonk80VTdX5SlRssW5AwLeJGx9Xl+yLQ48SX1+ulurqa3NzcHiPAhBBUV1fj9Xq7\n2hSJpF0YVnM5iO78g2pYNgs3V/L4xzvZsLeRvKCb7589lC9NLEZXm0cHRid885jndjwSCuBxaXhd\n0sMl+eKhqQp+t47f7TyoJdM5YzJEeTh6nPjq06cP5eXlVFZWdrUpR4XX66VPnz5dbYZE0iZNT689\n4UezJpLkX4tKeXPtPhriJn2yffz4/OGcN7p3qyUZopO/0+E2qIqC363hc2kyb0siwclr9KpaehRl\n0nSmB0sY3TNNoSvpceLL5XIxcODxeYKVSL5odOfyEK0RNyyeXlrGvxfvIGHanDWigHNG9WLaoNy2\nSzIIgbv0HaycoVhZAz6zDZqqEPToMqwokRyBpjkrhVcnZlhEkxaWLGUB9EDx1ZE0DZOXP6KSLxqm\nZRNJWMRNq6tNaRe2ELy9roK/vr+NfQ1xThmax62nD6FfbjtGL9oG2S9dQ3j6j4iceMcx2+DSVPxu\nmcslkRwtitIUmtR7TErD8eYLLr6gPmbQGDcJeDQ5X1oHYKemtrBTU12AM+pLUxUUFAQCIRyPS1Ol\nZSEECs3D72VhyeNDU+J8zLB6zI9e3LCYt2E/zywrY9O+Rob1CnH3RSOZ2D+73X0oloHlz8f2ZB6T\nDbLCvETScaQT9lOlLJKWMz+lZTszYTTdIwzb7vbpD5+FL7T4asIWgsa4SThhOqOUdE3+0B4B07Kx\nDpg2puMmd3U8MariVPjWNcWphySvx9Gxawlixb9JnvVrDFcGRuopsyf8lpm2zfo9Dby7YT+vr9lL\nY9ykf46fey4ayczRvY567kXhDlB149qj2kbBKTzp92jOjUIikXQ4iqKki7u2RtNIyoTRc36/2osU\nXwcgBMSSTv5L0zQfmqKgqI4Y0FUFralQ4ufQM9M0MaslnCcPIZynELvJU5Va1xkTtdpCOCEx03mv\n4DwxqaqCojjvFUVxilemilaqqQKWTQUtv4g0jTayK3fgX/UkjeNuxMod2tVmHZbGuMHW/WG27g+z\nfGctS3fUEk6Y6KrC6cML+NKEYib065y5F5uS6P1u6QWXSLqaA0dSNnnJTEukao11xMN+1yHFVxsI\nnGHsRhvrFZwPhp4KkakK6bCagpKexBScsFtrqEpKzB1nodAkquyUmAKwbUfgWEIgDvBeddePsgCn\nxlQ7U5SaxJkT7nTOtaI2X5Om5YrSLNp0tWeKassWJA+qw5W17r8ACL37lTdpiBl8UlrD4m3VLNtZ\nQ0VDIr0uP+ThjOEFTB2Uw+QBOWT4XJ95f1rtNrKfvZSGs/+P5KBzWm2jKBD06DL1QCLppjR5yTwH\nqJYmQdZUh7AnaTEpvo4RAZi2wLQ7JmH5QCGmH/DadCNoKtKqKEo6n8pIPQWYtnBElWi2DUhPn9qD\nPo8dhsA5Z7Z1dEff5DU7+Pbb5GU7UFQfeJ4V20DR3agpMaekxHjTfVxRQFePnMtmWnaLnLmmHIh0\nbtwB3j6Bc+1bGz2kVW8hPuxi7Mx+R3X8HYVlC/bUxaiLGkSSJvvq4+yojrC6vJ6NexuxhCDDpzNl\nQA6XT8ygpCBASX6QgpCnw8WPkoygRSpQWvmuaqpCwK3jdcn6XBJJT6NZkGmEPDoJ0yacMHvEiEop\nvtqBEqtFuAOguY/bPuyUUDA6cPBZ9//4dT8EtPHFPfzZzH5qFu69y6i7+N9ES2a22U5VlPTkyU33\nemGDJUQ7J7Ft31WNj/wyihFFbdyNHSpu1zafFVsIlu6o4fnlu1lSWk3caJnU79FVRvTO4Npp/Zk+\nOI+RRRmdMrDCyuxP3cX/xuh1QnqZW1Pxe7TD5ptIJJKeg6Io6ZklYkmLcMLs1mFJKb7aQebrN+HZ\n+R51F/2LxJDzu9ocSTdEMZ2Ja7TqzXCw+BI2KE7Sti0ECfP4/yBEptxK4Z/6ItwBIlO/d1z3VRVO\n8M76Cl5YsZtdNVGyfC4uHFvEsF4h8oMefG6NwgwP+SFPi6rznYXwZpJIXROPrhL06OgyiV4i+dzi\nczszTkSTTm2x7ijCpPhqB2rUqabvW/fU5198GTFw+braiu6DmUjVyji817P+wkfwrnuaxJCLWiz3\nbH4V/7K/UHfpHISv/eURPgtqeB965XqEqqMYkeOyDyEEy3fW8sSSXXy8rRoBjC7O4OezRnLm8MJu\nNTpVq9mCf/Nc9Clfx+3v3dXmSCSSTkBRFAIeHb9bI27YdLd0Xim+2kHt7GcILP0zdvDz/cPtKv+I\nnGcvoeaKVzCKp3S1OYdFq9lKxrwfEp5+F0bR5OO2n6yXv4YdLKTh3D8dtp2VPYjIjB+3XCgEofd/\nhpXRB0/puwDER15+vExN4961kMw3b6Xqug+xcoZ0aN+mZTNv436eXLKLTfsayQm4uX76AM4Z1YuB\neYEO3VdHoKkKGQ2bcS/+PYy7FPh8f4clEklLFEXB5+5+6QVfePHlKv+IrLnXYxRNou6SJ1ptI/x5\nhE/9RSdb1hJX2SKsnCHYgYLWGwgbNVrV9vp24N65AACri5K0j4bgB7/EXbYIfd8qjKLJ+D79N8Ll\nPzZxc0BY8ECUWC3usg+ITrzxsJurjXsILvotRuFYtMY9RKZ8F8WIYod6E55xF4mSmWS+fhN65Tri\nw78Eagf+EBgRFCOG8Oc1223EsD2ZWBkddx0rGuK8vb6CDZ/MY0L8Y9yh2dx/ss7kaSd1y7wpVXGm\nAPK5NcgohCHngC+rq82SSCQSQIovvBueQ43X4i6dj5JoRHhCLdarDWVkzPsR4VTejBqtIllybqfa\nqMSqyfnvl0j2OYnaL7/YahvfmifJePcHVF/9LmbBmGPaT3TiTST7nYId7PVZzO0UtHAFAEbxFJRY\nDb5PH0N4Qu0SX0q8Dtfe5bgqPiU25mqyn76A8IyfIlw+FDNOYugsp50ZJzbqSpJ9Z7Qp0AD0mi34\n1j+DkmzEu/V1hMtP8KP7qPr6EuIjvwxAbMzVeDbPRUk0dFz40TLI++cUEkMuovHM36YXx8Z9jdi4\nrxFc8HP02q3Un/tnvJvnkhh0VruT720h2LS3nkXbavhoezXrdjcggN/nrOIy6zWuG92PwMpH2D91\nPdCOKX46CQUn3yPo0ZtHLw6Y4fxJJBJJN+ELL77sQC+SxdOIjb0a0YpHQq8rxVP6LpFJN+Nf8Xdc\n+9dSNeictot3HQeEL5dE/9MPGwoU7s8e8hHeTBQzRtbzV1B3yeOfaXSn2rgX4cnoELtaIzz9LlBV\nzMJxBBb9BlfVeqLjrmvXtu6yRWS98nXAEd96/S6szP5kvPM9bF9OWnzZod6Y+aPJfuFKKm9Y06ZX\n0fbnER17Lcn+p4Gq4971AWZmf6zM/uk2icHnkRh8XisbW8fsCfOtewotWoVn+zs0nnFvszgUAhQF\nNV6Lvn8tetV6Mub9EOZBxfcq2uzPtGwWbatmwaZKFm+r4pfG/cwgyvac25h+ymjOGlnI0L2VxPd6\nsfKGo5gxtIbyQ4q4Bhf+CtuXTXTyLcd0XMeCAnjdGgG3fugIyniDk8sYLOjU761EIpG0RaeKL0VR\nZgJ/AjTgESHEb4+wyXEnctKdRLizzfVWqJjwiXdg5QwhMWQWarQaJVbdIsxz3BGCutlPH7ZJfPiX\nnJDWMaLEasl86zbM7BI8O9/HVfEp+v41eLa9Rd3sZ466v9CCu3HtW0n1V99BuHzQwcU+kwNOcxKp\nl/8N176VGPmjaTzzd+3aVg3vRagujKLJJAae5YisXuNJDjwTNVoFgJJowLvhOYTmSW9zsPjSqjZg\nZZdg5o+i8az7AEgMuQCEQI1UHHKjV+J1eLa/S3zYxaC50GpLyXn6AsJTv0ds7LWtil21oYzsF75C\nZPKtxEdd0WKdd8MLmJn9qL72fUd4mQnQ3OQ+NoPEoHOIjbmaxMCzUWyzub/GPdihohb9lFZFeOXT\nPby+Zi+1UYMMn87J/YPMLPsUlxVjas7T1M14EoB4zpXER10JRpTEzZsRnoxDbPYv+wsKgkTJTKyc\nwYes92x5HSVRT2LweQjvZwsFaqqCz6Xh01XUDS9CoAAGntyy0dJHYN4v4Cf75GASiUTSLeg08aUo\nigb8BTgbKAeWKooyVwixvrNsOITGfagNDdgZ/XCVL8a75VUik27GzuibbmJllxCZ/iMA4iMvIz7y\nsqPejXfNkyRKzkH481td7ypbjKf0XcKn3J1epjbuxQ71Rq3fRfZzswmf9itsX65Tq6g1D13Famxf\nNnrVBvTa7YfkKSnRSoQvr80nf9f+1Xi2v03sgocJT/kuwUW/QW3YjV6/AzVcgR0sTLd173if0IK7\nsYK9qJv9bOv97VuJmTuM3P+cSnzk5YRP/hkYMfyr/+14qI5FjNmW49EJV+Bd/wyKZRD8+P+ovuY9\nbHcArWYLwp3RwtbWiE34ZqtiJzzjJ+l/e7a/Tcb8u6id/SyV31iKHSpCSUbwrnsao2gyZk4JuY+f\nQWTKd0mUzES4fFi5w1AbylGsJFb2oEP26y5bROab38EK9cboOx3vxhdQY9VkvPcTjF4nYPY+4ZBt\n1Egles0W3Ls+OER8JfvNcMLkup/A4vsILH2Q+gv/gVa3HaF7WwxEqPzGJ7j3LEO4Q/hW/hPXjveY\nM+h3RD7+F4MblvCi9R2mlPTmovHFTC3JQUfQuOcpgh/ei165zhGU0Uq0ulKMwvHg8iNaKz4vBPGR\nX8a3/hlcu5c0iy8rCYoGqoZ/+V9x7/mEcEMZkZN+2PaFsi08W15Br1xPbNz12KHmZHldVQh69eZ8\ns3d/AR/+AUbPdkKMsVrw5zjrzHhqo+5X7V8ikXwx6czx4FOArUKI7UKIJPA0cHEn7v9QVjxG3j9P\nREmG0Wu34V/1KL61jodJbShDbdyNa/cSXGWLm7exLVx7lnI08xj41s4h841b29wmtPDnBJb9xckr\nMqJkP3MJeY9MRIlW4d71AWq8AX3fSnKevhA1vKfVPjJf+zahhb/Es/VNgot+ixKrTa9zlX9E3r9m\n4FvzOGpkP8EPfgUpb4h37RzUxt1YgUIiE28k2f804sMvxV22CKNoEg1n/g6he1rsS7h8CNVFYuBZ\nbR7zvmsXsmP67wjnT8C9/jnHjr3LCS24B/+nj5E0bfY3xtm8t47lO2vZsLeB/Y3xdCX/g1Hi9eT/\nv6GE5v8EvXItoUW/wQ4UYPSaALaB8GSS99gMvBv+2/aFOJA2QqpKtAol0QCWgVE4jmS/k50q8aqO\nUByPnnfLK+jVm0EIhDeL7OcvJ2P+XQDkPzKRvH9Na/VaJ/ufhhXohRbeC0B03NdoTA3k0Ks3tWqP\n2fsEKm7bRcPMPzsLjGh6XWTaD4iecAPusg/wbH2N6IRvkRhwJrWXPU985OVotaX4l/4FrW4HdkY/\n4iNmUxlOkPHej6kt/ZRfv7aeU2PzOdm3g08GPsKfRm5gxpA8/LsWOt7EPtOou/g/VH1jKSgKnu1v\nk/PMLLTG3SAEWS9chW/VowedQIWGcx4gXnIuwp+bXuxb8wSBJQ84XtxL51D9lTeITGvb4+z0pZIx\n7y4Cy/6CXrO5qXsyvC5yg56Wif6jZ8Psf8KX/gGv3g6PzgQr5fE76Ta4Y50MOUokkm5DZ4Ydi4Gy\nA96XAyd24v4PQanchJk3HOEJERt9FWbOUKzU03Vw8e9RzDhKMowaq6bmq28D4F3/LJlv3071NfMx\n80cBoEb241/2V6xQb2InfNtpt+E59P1rCE//MfHhl+Jf+QhqtLLVvKFkn+mYeSNAUVETDY5nZOJN\noLlJ9j+VZP9TSPY9GbH0IbTGPS08c4DjlUg0YIX6EB95mWO3GUWQnbbFDuST7HcKnu1vE1j6EFao\nmGT/U8l8+w4n9ObPo+GcP4KiYAub8LQfEh1/PcKX02I/AEbxidRc/S4oCsEXr6XeU8yCQXewpaKR\nLfvDbKsMU1GfwBKCfC4iwpfRH1hAwKUxhz48994W/vLWe5ymruRH+tN8L/kjpqnr+VSUEA32Z2xx\nJmP7ZDIls56JS++g9srXEN5M1GQYV8VK4kPOJ9l3OonB52F7Mwm9fzd1F/0TK1iE1lDGYTET5P9j\nAuHpdxEbe02LVWpDOfmPTKThrPuIjb2W+OivgBBkvnYDyX4n49qzFMU2sb3/n73zjpOqOhvwc+6d\nujOzfZey9N6liYgVQVHEimIh9t4SY0yMiTHRxM+YaKyxEQtiCyoELCgqiDSRIoj03tnep8893x93\ndnaXLezCzu4i5/n9YHZuO++cOXPve952Ugi3HULunRtJf22E2ffR+K6SMU8gAsW1PuilzUXeratB\nCPTC7USSOuMdehu+vpfV6sZ2rnmTUOagmEXMvmkWngV/puCKWWBxohfvJpQ5gGCn0ym49pvYeaGO\no7hN6HQAACAASURBVACwbf8Sz8JH8Sx8lJ2pp/JOZAwJeT/xnLwXW0YPnrpwCJ3k/USkgWv588g1\nU/H3uwL34sexZq+m6KKpseKkSIlWdpBIQgaR5K4gBJa89RiuDHyAc81URNhHsNNpaKUHKL7gjWoW\nWmv2Gmw7vqL85PuRdk+llS8SBN2GJXcdiZ/fQ/nI3xDoeX7MPVpw9Rwi7nYI3Uby6lewWS2Ik++q\n7KQ5D4DNBWMehrYDzG3dx8DKN+HgGsgaZroa7e76x4VCoVA0I60u4F4IcStwK0CnTvEteSAnvk5h\nfo75RrMQ6jCycp/VhX3LJ4SyRhJOrQwoDnQ7G6lZsR5YFVO+LAd/wLXyRXN/j/FImxvPNw8TTu4C\nuhXf4BvxDbgarLVnhZWd8WfsWz/DuWoKvqG3UDL+pUo57IkUT5gCRpicX+4CzYL7mz8hjIgZZA0g\nBLm3rzOtWbqVkvGmLBVLy5SO+Ucsy86X3AVLzloiSV3QSg8QTupEOL0PruUvEOh+rhmH40yh/OTf\nmFaonUtg12LW9biVwL61nLHsFqa2+xNzynuxt9DL86G9JIlNPLh6LJqATqkJPG79D6ltgywY+Hds\nFo1Sf5h9hT4yy9bzgvVFrK4U7nZI7lp9Jz5nO/55UldGffMgpdZ0ft92Cmv3FvP1xhyesr7ESdpP\nPPTON2R17sHg83+gbVoSdouG/bz3sOs6bXYtxLbvO6QjhfzrFyJt9T9kLQVb0Hz5GLXEKhmeLAyr\nC0v2GrSSPRieDiAE1r3fIS0O9MJtBDuMwjv8TvO7cSTj638ltr1LKBnzDwB8hwv6FwLHhg9JmnMX\nxeOexd//yloVL71wO575f8Q38BpKo4pKOKM/IuTFs+ARAt3OJmnuveTd8B2RlK7Vzi32hVi2PZ+d\n6/2cT1+GsoGFOQ66OdYwyfYJP0z+iS7aQTwLf0XJ2CfNmLfUHjijVsPCyz4gYeXLhFO6A5A0+0ZE\nJEDRJe9QPuJXMcWy7OTfmvFj0sC2ZxHWfcvQi3fhWPc+ebf+iCV/E6H2wwEIdjyNcHJ1OZM/vAzD\n1YaSsU+SPONKpC2RYMdT0cpzSJ8ylNLRfyM47BbcVh2nVUc7sBy2fAV9L4TkjmYQ/appMPCQUIC+\nF8A1M03Fa81/Yenz0OU0OPfx+r8bhUKhaCaaU/naB1Q12XSIbquGlPJV4FWA4cOHx3VNgEDEqDPg\nt3zEPZSP+GWN4GSZkE7u7euQjqTKjZoVw56ECHmxFG0n2OEUyk6+n1DWSZUZaNYELAd/QC/aSaDP\nJZXnRq1r9u1f4tg4E2lzEehxfvXrA2jRr0pKHJv+R6jDqOr7hQA9GoQTCZL41W9xrnuf/MlzCbc5\noVp5g4rAdENK1k38ln0FpXTfs4vv1hWw4Me17C30klsaoNQf5jYxk99apzNucS8u0Rcx3lrArN1W\nXJmCM3plsFfcQcBl4c2eJ9I13YXDopE+5U5CGcPJHN7RdE/NuoZgu+G4tzyDd9A1lJ/8W0SghPKB\nXwDQN7kL5Z5Xca96lb9dPADhzaPo4E52HLiJGXtOZo83hXlLd/GmlICkmzjAQZmKFwd36GHaa+N4\n4cWlpLps9LIX0MbipTCpP2lWP05nAk5nAm67BY/DSrKWQtsxUyB1GHogjFXXKquxC0H+dd9izf2J\njP8Mp2DSLEIdRuI98U4ing6EU7ohwgH0op2kTL8E75CbzTgx3dZgl5YIlOD6/jm8g2+MuW3tG2fi\nXvx/5F/7DcIwzDiuSIBgx1OqLQ0USe1BwdVfEEnsQMLKl5EWJ5Ek8yd1sNjPgs25fLMph9V7ijAk\nJDmT2NftBUa38zOofTKdAtsQX3xDZ1cIQk7sO77CtexpSsf+g0h6HzMuD1PhrxaLpenYt35lWj71\nykAv/8DJADhXv45j82x8/a5AhLyE2g3D+dM7eBb8mZzb1yET0muNlYwkdsJSuB2ERvH4l4mk9kTq\nNlxrXkcgcfY4nUR3FZf3uP+DjD6VsVxSwrjHoN0Jh3SygO5nmX/vXW7Geg2e3KDvR6FQKJoDUVeM\nTZM3JIQF2AyMwVS6lgNXSynX1XXO8OHD5YoVK+Im08QXl5Bd6qdfu0T6tU+kf/tEerXx4LBG3SXR\nh32t9Z2MMEQCYHVVHisN859uJWJI8soClAfChA1JKGLQb+E9pOUs4bOzv6bMcOCyW+he+j0D511P\n2fC7SFj7DlqgiMJL3iXYdUyNJhM/vR00C8HOZ2DbtQDNX8je86ZSvPZTeqx+giXDn6XQ2ZlwKMDY\n5bdR5OnByl73kRfQyCsLkFcWxBsMEwgZdM9fQB/fKh4OXRe7vkUTtE92kpXipG2iA4/DQq/QRk49\nMJUNJ/yelOQUOpWuQRtwcWUNpQqkRCvZjZHYEdvOb5D2xJjVI3XaGESwBL0sm5JzniZx7n0EO59W\nZ1HblP9ejF6ym/xr5seUUF8wwvoDJQyd9wvaFq5gV8ooZvZ/lkDIoDQQoqA8SNuC5Tyc/wAluDmN\n//CXyAuUSzsPhW/CRoih2hbKpYO1sitmcQKTBJtOSoKNVJf57wrve5ybN5UXT56PYUlAUKlbuYJ5\n3PCd6Yr7tvv9rGl/JQA2i4YjaqFx2DQcFj26vpi5zeOwVI6rQ7Bt+4KUWddSfM4zJH51P8E2Q9h+\n+tPsJ5Pc0gD55UFCEYOIIZHSXJ+wnbWc/LCdbQVBVu4qZFuuuYxQ13QXZ/TK4NSe6fRrl4ge8SGk\nYVoEpTSzNqMTioTvnyec1uuwdeu00n1YctcR7Dq22m9Bz9+Ebe93WPLW49g4g9w7N8c6yrZrAckz\nrqLwilmE03pj27uEYPuTqk0CLDlrcWz9jOBpD6LrAqum4Zg6DqHpcOFzkN6rbqW25AD4iyGzT72y\nE/KBbocWWFNSoVAcfwghVkophx/uuGazfEkpw0KIu4EvMEtNvF6f4tUcjB/YloVb81i9p4i56836\nR7om6JDsJM1tY6J3OpPL3uTJhF/zuT6aYMQgFDGwhMqZbdzFB5YJfJw0ma5aNtkinXyf5IXSX7FK\n9uah4HUYh+i1J4hT+KN1J/+auYhd0ixkeoP+NQOtMGbJACY4J3OL9iEPrUii7Y4ttE9yVqtZNC4v\nH49/P887f0237E1cW/ABdz/9FidqG3nUuo2H5uwhjxIA/sRv4CCwZRsAVl2Q7rbjtluw6hpXa18w\nQF+F86TrcHYcQlaKkzaJjpo1kugBTKAyD++QLL5wgIRVLyOC5bi+f46iS94l2PWsaoeUj7wPqdsJ\ndj7ddFFt/xLnppmmAqvVHIKlpz9M6geXYsn5kVAns2yA06YzrHMKnqzeULiCjA7duGpEdbe0CHSi\nfNlugoOuZW5yF5L+9waW7DUMunIU2s5v6b3gGQK2ZFZ2u4MfU8YRMgxCYUmhN0ihN0hBeZD2uQvp\n7FvAhMDfWD9/LwCdxUEmaN/RVhQwJXI+F9ncWDD4w/oO7F23ufbBdQiagG7pbvq089CnrQe3w4Iu\nBBZdI1zWEXeXPzHnx3b0lNcwZt9Crpq6lQC7a73Wlfo8brVM5dTAM5RY0jihQzLnDWzHGT0z6JRW\nxbUtJW2eN119FXXKqlpyvSPuaZDshieLYC3FWW27viXxm4fIv/pz/D0vQC/ajm3PEnyDriHYYRQ5\n9+wAix3r7oUkz7qOwonTCXU+A6uuYbdq2LoOw9LjRKpVgut3IXzzd3Cm1K14ffcyfP4AdD0drvu4\nfuFVaQmFQtEKaTbL15EQb8uXYUhyywIA5JYGWH+ghPX7S9hd4CW/LECH8C4eLn2Ux9KfoNjeHqsu\nsFt0LLrg3p13ImSEB5KfYlr2JXzqvICN7pN4MPcB5mbexNION5GZaCfRYcWqa1h0gVXXsOoCm0XD\nhZ8Sw05+iZdQ7na2Gm3IKwuRW+ontyzIvkIfwYhRTd6TxAbusczgDWM8BzwDuN65iINdJ9I7OULH\nkjXk9JiI1WLBqgssmoYhJYaUJCfYSHRYqlmrhC8fx9Y5+AZMbpDLLOH7Z/Es+j/yblxGJLlL5Q4p\nyXixN1qgmIirDXk3fV97Sn+08CcAIS+arwAjsUOd7emF24l4suCQTEu9cAciVEbEk1U9GaAWLDlr\nIRIk3HZoLMjdUrCZcGrvGnFSFdi2f0XK/yaTd/ksCtOHISWkrHqOjO/NmK5tl39FyJmJYU9C07TY\nRwqEDQIhA18ogi8UwR/95wtF8AUj5JQG2HiglA0HSijyhWq0qwnTatWnXSLtkxyku+1keMx/aS4b\nNouGJgS6JgjnbqX7+6eTPfhujNEPodXz/bX5l1l2I+fu7U1e8Na2Yx7uxf9H8YT/EEnuQuJnd+Dc\nOIPCS98n0u0srJqGZgSwbJuLY86vCd26GGtKVk2raVUCpeZYcdSMyYtxYA3s+NaM42o/uEk/k0Kh\nUBwNDbV8KeUrqnw1Fj1vI4YrE81fTPobIyke9xz+fpOw7l1CqMPJdS5FA+ai0CnTL6J07D8J9Bhf\n6zERw7TIGFW+HxH20++tE/AOnEx5RbB9M5H4xb04171H7q1raiw/5Jn3ByKeLPy9JmBUqeoeI+Sl\nzfNdCbYbRuFVnzWTxFXbL0fzFdar7FWglWWT9tYZFF72IeFMM3vOseEjkubcaS7vdOl7R1UvSkpJ\nXlkQfyhC2JBEDInTqtMm0Y5Fb7hrzHJgJZGUHjVjAw/B+eM0LLk/NbgAbWMRvnw83z6Kd/CNGIlZ\nJK14Hm3Mw1gcLlj+Gsx/DO5dW5lsoso9KBSKnzFK+WoAR6N8VSC8uaBZQbM22LIgAqWkfHgZIuwj\n4m6Lv/clZlmDw6AX7ST1vfEUj3uOYLexCF8h7qX/RPgL8fe+OL5rTh4SL9QoIiHaPNsB78BrKD37\nyaaXrR4SVr1iKiAFW8if/CXhNoOatf2fO9bdC0n98DICV36IrffY6latnYvhzfFw8csw+PDjW6FQ\nKI51Wl3M188Ry4GVpH4wkaIJUwh2O7vB50m7h+LzXwEZIf2NUQQ7j27QeZGkzhRdNJVQO/N7ldYE\nHBs+QgsUASK+ypcQR6Z4AehWcu7cHLd1HuvDkr0WS8EWszZXtDTIkWDd9z2RxKwGL0x9PGDXBckf\nmlmM9qxBNa1anU6Gq6fD7HsgdwOc/WgLSKlQKBStD5UCdBSEMwchwj7cix5r9LmR5C4YznRKz3jE\nDERvCEKYS8ZUPOQsdspH/hqAUC1L07QmpCOp1uD6eOPvcyllI39DwVVzjngBa0LlpP73AjKmtO4+\nbg6EMLND0912kl12SO0O/S8BTy1LOmkadBoJZdlmAL1CoVAoAOV2PGq3o160ExEqPyqriqKVIyXu\nBQ8T6HVhtfUSjyesuobDquG06tVdi9nrwJkKie1qPzESgv0/gKctJMe3aLJCoVC0NMrt2ExUy/xT\n/DwRgrIz/9rSUjQrArN2md2iY7doaDVKkERpc5hJh26FjiOaXD6FQqE4llHKl0KhAEATArtVw27R\nsOla/SUhFAqFQnHEKOVLoTjOselarBq/QqFQKOKPUr4UiuMQAThsOi6bpZZVDRQKhUIRT5TypYgL\nFdXYwSwsGjEkFakdQpj7NSFi6yZKCZHocYr4oWsCZ3S9yTrjuBQKhUIRV5TypTgqNCGwaCK2fJJF\nM5WuI40XMgwZW0MzFJGEIwZKHTtyhDDdilZdw2YxXxUKhULRsijlS1EnIvqfHrViaZqI/W3Vtbi4\nqzRN4NAq44+klIQiMqqMGTELmpQQs6VJlIJWBYsmsFvNLEWlbCkUCkXrQylfxzkC0xVl0TSsFvNV\n1wSaoFVkuwkhsFnMxcjrwzBkdCFxYguKRwzzvZSVrxWfyZCSihJ3UspjWnkTVNThOkxZCIVCoVC0\nCpTy9TOgIobKjJ8yH7wC0xokiMZXaaaSJRAIYf6tC/GzeVBrmkDjyD+LYUjCMQXOVMwqdE+BiFnZ\nKrZX9GPs/Og5RlSRk4a5veI8Q0LYMDhcTeOKWDldCHTdVIK1Q5TginYqvkdVFkKhUCiOLZTyFSc0\nIbDqpnJTYV3ShIg9uHVNxCwuVR/chsS02BiSSPRJXVWpMq8Nlmh8Vbzcf8cbmiawNUM/hiNGTMmr\nUMQqlGOrpqxWCoVCcTyglK9GIgRYNC3mljOVqaglSat02zXwavEUVdEKsegaFlVOS6FQKI5rlPJV\nB7FYKF2LZosdXRafQqFQKBQKBRznypemCVJdtpj9qXqMlFKyFAqFQqFQND3HtfIFqFR8hUKhUCgU\nzYrSPBQKhUKhUCiaEaV8KRQKhUKhUDQjSvlSKBQKhUKhaEaEPFzVxxZECJEL7GrCS6YDeU14PYXq\n03ih+jU+qH6ND6pfmx7Vp/Eh3v3aWUqZcbiDWrXy1dQIIVZIKYe3tBw/J1SfxgfVr/FB9Wt8UP3a\n9Kg+jQ+tpV+V21GhUCgUCoWiGVHKl0KhUCgUCkUzcrwpX6+2tAA/Q1SfxgfVr/FB9Wt8UP3a9Kg+\njQ+tol+Pq5gvhUKhUCgUipbmeLN8KRQKhUKhULQox4XyJYQ4VwixSQixVQjx+5aW51hGCLFTCLFW\nCLFaCLEiui1VCPGlEGJL9DWlpeVs7QghXhdC5Aghfqqyrc5+FEI8GB2/m4QQ41pG6tZNHX36FyHE\nvuh4XS2EGF9ln+rTBiCE6CiEmC+EWC+EWCeE+FV0uxqvR0g9farG61EghHAIIb4XQqyJ9usj0e2t\nbqz+7N2OQggd2AycDewFlgNXSSnXt6hgxyhCiJ3AcCllXpVt/wAKpJR/jyq3KVLKB1pKxmMBIcTp\nQBnwlpRyQHRbrf0ohOgHvAeMANoDXwG9pJSRFhK/VVJHn/4FKJNSPnnIsapPG4gQoh3QTkq5Sgjh\nAVYCFwPXo8brEVFPn05CjdcjRgghAJeUskwIYQUWAb8CLqWVjdXjwfI1AtgqpdwupQwC7wMXtbBM\nPzcuAqZG/56KeRNR1IOU8lug4JDNdfXjRcD7UsqAlHIHsBVzXCuqUEef1oXq0wYipTwgpVwV/bsU\n2ABkocbrEVNPn9aF6tMGIE3Kom+t0X+SVjhWjwflKwvYU+X9Xuof5Ir6kcBcIcRKIcSt0W1tpJQH\non8fBNq0jGjHPHX1oxrDR8fdQogfo27JCneD6tMjQAjRBRgCLEON1ybhkD4FNV6PCiGELoRYDeQA\nX0opW+VYPR6UL0XTcqqUcihwHnBX1NUTQ5p+7J+3L7sZUP3YZLwEdAcGAweAp1pWnGMXIYQb+Ai4\nV0pZUnWfGq9HRi19qsbrUSKljEgpBwMdgBFCiAGH7G8VY/V4UL72AR2rvO8Q3aY4AqSU+6KvOcBM\nTBNtdjSGoSKWIaflJDymqasf1Rg+QqSU2dGbsQFModKloPq0EUTjZz4C3pFSzohuVuP1KKitT9V4\nbTqklEXAfOBcWuFYPR6Ur+VATyFEVyGEDbgSmN3CMh2TCCFc0eBQhBAu4BzgJ8z+vC562HXArJaR\n8Jinrn6cDVwphLALIboCPYHvW0C+Y46KG26USzDHK6g+bTDRIObXgA1Syn9V2aXG6xFSV5+q8Xp0\nCCEyhBDJ0b+dmIl2G2mFY9XSHI20JFLKsBDibuALQAdel1Kua2GxjlXaADPN+wYW4F0p5edCiOXA\ndCHETcAuzIwdRT0IId4DzgTShRB7gT8Df6eWfpRSrhNCTAfWA2HgLpXlVJM6+vRMIcRgTDfDTuA2\nUH3aSE4BrgHWRmNpAP6AGq9HQ119epUar0dFO2BqtMqBBkyXUn4ihFhKKxurP/tSEwqFQqFQKBSt\niePB7ahQKBQKhULRalDKl0KhUCgUCkUzopQvhUKhUCgUimakVQfcp6enyy5durS0GAqFQqFQKBSH\nZeXKlXlSyozDHdeqla8uXbqwYsWKlhZDoVAoFAqF4rAIIXY15DjldlQoFAqFQqFoRpTypVAoFIpj\ng42fwtavWloKheKoadVuR4VCoVAoYky/DowQ/KW4pSVRKI4KpXwpFAqF4thgwETI39rSUigUR41y\nOyoUCkVLUXIA3pkE2+a3tCTHBv0vgQueaWkpFIqjRilfCoVC0VLkboAtX0DuppaW5Njgf7fDyqkt\nLYVCcdQo5UuhUChaih0Lzdf2g1tWjmMFXyEsnwI5G1taEkVjyd0E62dDJNTSkrQKlPKlUCgULYXd\nA+1OgE4jW1qSY4Mb5pivpftbVg5F41n8LEy/BspzW1qSVoFSvirYvgD+3hn8JS0tiUKhOF447T4Y\n8zDsW9XSkhwbZPaFSdOgzcCWlkTRWAqjtUdLD7asHK2EJlG+hBDnCiE2CSG2CiF+X8v+yUKIH4UQ\na4UQS4QQJzRFu03K6nfBXwQl+1paEoVCcbwQCcPsX8H3U1paktZPWS48OxiCZeA+7OotitbGOY9C\n51PAYm9pSVoFR11qQgihA/8Gzgb2AsuFELOllOurHLYDOENKWSiEOA94FTjpaNtuUsb+GU64EtJ6\ntLQkCoXieEBK+EdXCJSA1dnS0rR+gmXmBHnZK2BNgP4Xt7REisaQNQxu+KylpWg1NIXlawSwVUq5\nXUoZBN4HLqp6gJRyiZSyMPr2O6BDE7TbtNgTweY2f+AKxbHO3hUw/VoI+VtaEkVd+ItNxeucv8GE\nf7W0NK0fdyb8YgYU7IC1H7S0ND8fAmXw0wwojrPX553L4Y3xEA7Gt51jhKZQvrKAPVXe741uq4ub\ngDlN0G7TsvgZeG2s+dBSKI51Dv4I62fB6ndaWpJjl+eGwFePxO/6Nhfc+o1ZOFRxeGwu6DEGhl0L\nbQa0tDQ/H4p2wYc3wN7v49vOrqWwazFsmB3fdo4RmjXgXggxGlP5eqCeY24VQqwQQqzIzW3GrIh9\nK83XcKD52lQo4sWwG+DMB6HrGS0tybFLwXZY+Wb8rq9bof0QWPAPePXM+LXzcyF/G3z1FxhxK4x+\nsKWl+flQ8czL2RDfdi55yXwNeePbzjFCUywvtA/oWOV9h+i2agghBgH/Ac6TUubXdTEp5auYMWEM\nHz5cNoF8DWPAZZDYHvpOaLYmFYq4sf8H6HkOpKsYxiNG6GCE43f9LV/Bpk9N16PKADs8eVtg0dPQ\n42zTdZXaDTSVsH/UZA0FzQqROLsDe50Ldy0HT9v4tnOM0BQjdznQUwjRVQhhA64EqtkVhRCdgBnA\nNVLKzU3QZtMzZDJc9O+WlkKhaBrm/RU++y2smgaf3t/S0hybnPEADJoUv+vvXmJWaz/11zDxtfi1\n83PBlQ59JsDmOfDCMPDWOYdXNJZ+F0Jaz/hdX0r48mGzmoAjMX7tHEMctfIlpQwDdwNfABuA6VLK\ndUKI24UQt0cPexhIA14UQqwWQrS+wKrCnWadrxWvt7QkCkUTIMwZ5qbPYPd3LS3MkVOWC2U5zd9u\nyG+6RwZdEb822p1gutDaDoQup8SvnZ8LHYbDle9AhxHme1VotWlY+C/YNg8GXh6/NkI++O5FmHYx\n/PRR/No5hmgKtyNSys+Azw7Z9nKVv28Gbm6KtuLGnAfMNOZ4Z3woFM3BNTPM11XTwJvXsrIcDa+c\nbj5kHy5sXhdToNRMwtF06HAiCNH0bfS7yPy3d4WZHHHm782gckXt+ArN76XHGHhgJziSW1qinwfl\neWbf+grB0yY+bRhhGDgJ1k6HAz+qJBNUhftKQj7zte8FLSuHQtGUDL3GdGsdq1gd0HFkfJSf+tB0\n83XhU5X3hqZm52Io3gs562HJc+AtiE87PxdWvgnPRCvbO1Oaf0z8XBlxi/n66X3xa8ORCBOnmPei\nTifHr51jCKV8VXD1dPj9HrXAreLYJ+SDJ3ub8UTFe2HHty0t0ZHzyx/gpi+av92EVJjwjPm3vyg+\nbbx/tbneXVoP6HdxpcJ3vBHymRbOH94+/HEAug3euujwxysaRmpXyBoe3yzEQCnkboYzfg+9z41f\nO8cQSvmqwOqALXNhU+srQaZQNApvPpRFs+dWvwdTLzg2Chs+PQDeu7ryfcgP5fnmTXvK6MpyMM1B\nyG+6G3+5GtxxcsUIYVZq7zwKJk01s62PR3QbHFhz+JCP034Dv91mlujYvQxyNzaPfM1JsNxMlPEX\nN1+bi56BAZfCpLfi18aupfDvE2HVVDj4U/zaOYZQylcFH90MH90U37o+CkVz4EyBK9+D7qPBkQQ2\nD4TKW1qq+omEoHiPWXqhgj3L4J/dIH+LWTpj69fNJ0/2T/DyKWZ5g3hZpB7YCWc/Yn72wp2mdaCx\nrJ8FW79qaskax/ZvwDCO/PzcTearfpgQZIvdzHgEGPsX6DnuyNtsrayaBt+/2rzPoVVTzYmN3RO/\nNgIl5uvnD8KCv8evnWMIpXxVUJERltqtZeVorexaCl//tfblaoJeKNpTc7uiZbC5oM94SO4EJ90K\nf9hrKmQVlGabQbatiQqXUvshlduKdpuvbfrD+U9Bj7HNJ084Os4/uN60sjSUHQvhvatMd29Dyd8G\nz54AW75slIhs/8ZcQurzZio4Wp4P8x4zlcUKNn1uugC/e9F8H/I3vlB1hdLZ7oT6j/v2SZh5h/n3\nyNuh62mNa+dYoPe5cPZfjzzLdvV7Nb03Xz8KL9WTTdsjurJLRd/GgwET4cG9Zsaq1iR5fsc8Svmq\n4LTfwOSP4NzHW1qSIyN7nfnjqXpjbEoW/QsWPgkH19bc9/Uj8EyV5T4MAz7/Q+3HKuLP/h/Mqum+\nOmKVPn8AXh8HJftbz3fkSIS/FJvL7VQw6Aq4ZxUkdYQTbzaLQTYXHUfCTV+aFsOiXQ0/b/dSs7yH\nNaH+48py4flhsG5mpcWhsZavrOFwyr3V+yyerHkPvv2HWaupArvHVOw7jTTfP94BnhnUuOum94T+\nl4K3sPb9FS64A2tg/yrz752LTcWvoexaYrr0WjspXeCUXx55IdL/3Q7vXVl9mzRM66JhmAr0dy+Z\nFt0Kxv8TupwKOxcesdiHRQhzrNw0Fy5/M37tHEMc9ypodkl0htvrKjAikJ8P1mMv3du5dSmJrmK7\nUQAAIABJREFUa94l74TbiKT3afB5KdMvQS/aQd6tq+s9zpPQgQSgsKiAYFJ161eCNRUPkJ1fANYE\nXN/9C/d3/6bUmoo3IY6F+6qgF+1EajpGYsfDH/wzx7l5EYnfPEZOn8lYdv1E4uf3UDz+RcJtTatS\nckkuwp6CmHY54Yz+lJz7XAtLDEiJVrYfa85aAl3HVs6OrVlQFsK+dTZSsxDsdnaziSQcXUk46T4C\nCd0IlzRsgXK7uzvJQMnyd/ENqbu6jl6YR3r+VopLS/HLZMQdG5F2DzSwHRMLnPQg+AF//BdQd5WV\n4AayZXKlnKnD4I5o7FWJn0wZQZQdrLyvNogE0vatJhw2KO5SPdvccmAVae+dR9GFb0CPS9A6FOAr\n8ZO08Hn0oh0UtDvzsFfXyg6S8cZ5+HtfTPH5rzRCrubHtvMbUmZcQcmYf+A74bpGn+8882+gW/FV\n6f/01e+DM428Eh96SS7pn/+e4nHP4rd1hHAAS+E29KzT0VL6VzuvKXGumoJ9x9cUTXw/LtdvCG0S\nHS3Wdm0oy1cUx/oPSX1vPOlvVpqy9YIttPlXG/S8OK951QSEMgYQbDsU0cjlUKSmY7gPP8sqO/k+\nis/7N+H0vtV3GGHC6X0pHvccCHM4+ftciq//VUjdjlYe/wKZwpdP+usnkfGf4XFv61jAcLcl0Hk0\n0p4MSCxF29F8lVaFoovfoujCN0FGEBWxGC2Mdc8iMqYMJXnWdWg+s+SC5+sHcC17GoCE5S+QsKrp\nH5x64Xb0wu01ttt2f0vSJzfhG3QN4cyGL+Ic6HIWAOIwmWNGQhrF5/6bUPsRoOlIZ0qj3DEJy18g\n+aNJJKx6hcznusR/aRigfPideE+4Efu2Ktmn0iDlvxfj/HEaALl3bSX7l7sbdV1L9hosRdsx7Ek1\n9umlppVNajYCPcfjG/gLACIp3TAakQhhONMIdG/9MWL2rWa5TFFbjKaUiGBZvef7+16Gb8Dk6qdZ\nHAQ7nAyajl68K7rNCYBevIu0aaMR0sA35KYm+AS1YynYjCX3JzzzHiT5oysPf8JRYN2zGPvmj+Pa\nRlOglC+ASIikz+/Cmr0aUcU0bduzGAD79hYOaD0MCd8/i2PLxxRe9VmjHhQAgR7n4+9zyeEPFBrB\nDqdguDKrbbbkbSDlf9cgrU6wmDOLSHIX/L0uJPGbh2I/9niiHUmg8s+YQK8LzBmmphNO6UHxeS8S\nzuhXeYDVhUxIp/CK2RSf/3LdF2pGqn6HFQ8Y+7Yv0At3ABDO6I/h6dDk7aa/cTLpb9SsO6SV7MO+\nawH2HV9jyf6xQdcS/mKc66dTeMl7MSWhLqQ9EX+/y4gkdwEgadb1OFe92mC5LQVbsORvQeoORNgX\nU1jjisWBbe9iHBtnxDYlrHgJ276lWKIT1IRVr2A9uKpRl7UeMI8vG/XbGvsC3c4h78ZlBDuegm3H\nPKz7l5vHnv4wRROnA+D58n488/5Q5/UNd1ty71iPv8+ljZKrJTASMgDw9764xj7n6tfJfKE7Wmnd\nWaGZL/Uh5cPLqm0rH3kfWqAYPX8ztp3zkBYngV4XAqBFy6gIXyH2TbNMF2UcCPS6gPJRDyB8hehF\nO+LSRgWpH1xK8ietu6Y7KLejiREknNoTf+9LqikivkHX4Tvh+paTqyGE/bhWvESwwygwwoiwD2lv\nxNpZQsOx9l28Q26tt2ihe+FjJPz0DvlXfUa43bDYdkuOGTNk3b+ccEZ/hL8I5/oPCXQ7m2C74Ujd\nFjtWK95F0qe3U3TxNGRCeuM/ax1EXG0ovPidRiuePzdEsAxpc6OVZSMtdqQjGelMwd+3SjVpKUn+\n8DL8A67C3/eyui/WzAQ7nEzBFR8Tyuwfc/t7h91OOMVcGLx07D/i0q6/14XoxTUtNeE2gyg95UHc\n3z5CoOcESsY9c9hrWbNXk/j17yi47EOkM7XeY7XiXTi2zsHf51IMVybWgz8gHck0tJyrr+/lBDue\nSrDjKRSkzsBohmrvnq9+h56/GX/PSteg5jPXV/T3ugAiQdxLngAg+77sBl/XcLcl0GUM6PaaOy12\nHOveI5LaE9eyZwmn9aa4/YnmPikBSFhrWt1Kz/xrrZmpIlCKe9HfCKd0xzf01gbL1RKUj/ot5bUo\noUBMwdZ8hRierJoHRK2ftn3VlxMLtR1K0uf34O87ESMhk2DHUxD+IqQzhVDWCLLv2Ylr5Uskzv8D\n2d12HD5e8QgIdjodOkE4vQ/+eNXNi1Jy5t+OiaD+1i9hc2B1kX/9oprbZQSkaNXFD4URoezk+wm1\nG0b6GycTzBpJyXkvNPh8255FWPM3IkJeZD1Lm4joD9u++9tqype//1UYnixSPppEOGMAIuwjYc3r\nlJ90L4VXfVrtGta8DdgOrkIv2Uu4CZUvrE6C3ZoxE64VIvxFZL7Ym/Kht2LN/hGkQeGVH0MkSMLq\n1wm1G06o/XBEsBT7nkUEu47FtfRJ9KKdjRov8aLiQVAV77Dbqx8UCZo1oZqQ4vNfrXXSEc7oTzij\nP/ad85GWw8eKWA7+gH37XMKpPXGu/wBL0Q58g66t83hr7no8C/5MsMMoDFcm5SPvI5LYcMteqNOp\nVKTWGJ7mqQ9m3zkPf9+J1ZQD38BrCHY+g1CHkw/rEquLQI/zcKx7n5Tpl1BwTfVyIo51/8W97Bn8\nvS/GcGUQiX5Wx7r/kvjlfeTdvJJgu2HYDqxEBIprVXrtm2eTsOZNwsndWr3yhZS4vnuKcGoPAodY\nv+pTzADQLPh6X4Jj8+zKbZEQzh/fwnCkYDjT8Pe9DNuu+ST/7xeV92erk4i7LeGkzohIEHkkylck\nhGv58wS6jiHcpmbWqn3LZxiOZEIdRzX+2o3EN/QWUzEPB8zyJK0U5XasgnX3QhI/vR0RdYE4f3yL\nNs+0x73osRaWrG6kzYVvyM2E2w4h4mkfi5FoKBU/VHkYBbNk7BOE0vsRcR0SZyEEoXbDCLUdgrS5\niSR1wdf3coyENHPwV41FiYSQmtUsktiEWHLXk/F8V9KnNGM2XCvDkm/WSnKtehXbvu8wnGnmDqHh\nWfBnbLsWxN6XnvYwwY6j0It2YN3fiDIKccS+5TMSP7uT9FdOwLn2bbTi3dg3zYr9Fl2LHyfz+W4x\na0eTICXpr51IwooXa+zS8zZg3/wJhZNmUjqm/rpE7gWPkPbuudg3f0LBVXOw7luGde/Ses8xbB6C\nWSdhOMw4J98J1xHsOqbBots3zcK6eyHCX4R7wSMxd1w8KR96G4Ee47Hkro/FCkZSugJg2z4XaXNT\neNkHlIx5otp5yTOuwvXdv+q8rvAVIIJltcbJWQ+aiUDB9iMovHwGZWc+CoC0OhFGGOEvpHTsk2ab\ntVnOAM1vxjtWswC3UlKnjca99J/Yd86vsc+6eyG2HfXUuhMaJee/TM6vKxccF8FSXKteoWzkbwh2\nGY3w5WMkZKCXm5ZJx0/vkvL+Bfj7TCT/pu+RR2hB1Xz5uJc8Qdo759S6373oMRLWvIF13zISlsdv\nsieCZdi2zyXzuc64v3sybu00BUr5wgysz3yuC66VL+PcNBMRNG8sFdYe4asjBboZsOSuqzUguALH\n+unYdswDoGTccxRNqBk3IoJl5sKm0kD4CvB8+Rusu8204nBKD7wDr4nFa9WJ1UXBtfPxD6hagdxH\n6ltnYts5n4KrPyfQ83yCXc6k5LwX0Lz5tHmuE851ldktgV4XEE7v0+Q/Pr1gM1rIayqe8VwioxUT\najuEgss+AqDs5N9Scs5T5g7NQqDT6USiSRXS5sZ74l2E25yAv8+leE/85dE3HvaT+XR7PF8feb0p\n694lOLZ8il5+EK08B/uuBSR/eisiYLoopNWNMEIQbsJ1FsM+9JI9eL59pMZv3LFpFkmf3Awcfv1A\nx5aPCaf0IJLcBREowjfgKoKdz6z3nFCnUym8YjZGUmcArPuWYdve8Dpf7sWP41z7DkgD18oXsRz8\nocHnHim+obcQcbclbdpobHuXAGYcUspHk3B/9y8I+wmn9ake7xbyYt85z3RH1qE4uxc9hn3PIoou\nnlZjX7Dz6ZSe+ocaweDBjqdQcOUnSEcK1v3fE+gyuk7LvXforeTeuobykb85sg/ejFS4FkNth9TY\nlzTnTlJmXo01Gotc49zi3SR9fPMhY0ES6HY20pGCVrqfjCnDENKg4ErT6mUp2IY1e/XRW5RlpMrf\nNb/nSGIW4ZRu2HZ9i2fhX+MWW1YRgywiASzZa+LSRlOh3I6ACPkQYR+hzIGEU7ojozMoX79JaOW5\n+Htf1ORtaqX7MBwph/Wvp00zs6ey791fq/vTvfjvhNoPJ9j1rFjw7qFkvtAdgLxrF2Dbu5SEtW+D\n0Ah1Oo3Cyz/CvuUTtJK9GPW4PVyLH0crz6XsjL/EYsoseeux5m0AoUfjzfxoJXvA4oxZXsQhtXUM\nZyqWepTJI8FwtTVj9vpcSl0PS63sIJb8TQQ7n9GkbbcadBuhTqeSe8sPNdxQRZd9EPtbK96N9eAP\nBLuc1ShLS31o3jyEjJCw5nVKxxxZnbxwm8H4BkmCnU4jnNob256FRBI7YrjNz+LvN4lg17PqtG4c\nmeAW/L0vwrFpFpq/gEiVQrTS6iKS0g3PNw9h3bOE8pPvJ2HVKxRePrPG79DX/yrCab0I9JwAQuA9\n6d4GfGC/+QCyOEEIEla9iqVgC/kNLKURSe5GJLUH0pGMv9eFGEmdYvsSVryEY8OHFPziy1gG8tEi\nfPnYdi8knGkubK2VmEVkKyZXEXc7bPuWkfLRJLwDf0HpmCdicTfhtN5Y8jchQuVIm7vmtYPlhKOf\n51ACPc5DeIdj3b+C5I8mUT7yPrwn3o10phFypmE5+AOJXz+Av/s4yk5/JGaJq4ZuA6FhPbCCUEW8\nWCul6OJppgchpXuNfYYjFb08By1Q+9JDenkOji0f49jyMbm3rMLwZCGdaRRd/DYp740n4Ycp5nOu\nzeBYpmigx7lEkjph2/UNSZ/eSuHlM2LfcWMwPFkUTpyO9cBK09txiLuvIjnCseFDAp1ON+tRxsEl\nKAIlGPYkSkf/zczwbMUo5Qszbbng8pmE03sjK9w1gHSmUnb6n+o91751Dpo3D9+gaxreoJRkTBlK\noOtYii55p0GnaN68mqnV0ZlmsNPpAFj3fkfCyhcpHftkjaxEMNOKNW8uQGxmrpXuI3H+HylM6kyw\nHuXLevAH7LsWoJcdpOjSdwHzB1cy9p+E2g8n9b3xGAkZCF8B0u6h6NL3yb9mHhF3pSLgXPMm9l0L\nyLuuYQs9Ww6sJPnjmyk+/2VCWSfhXPs2EU8WwS6jqx0X6jCy9pi9Kjg2fIilYAvBrJHmQ6EVx/Ed\nCe75D2G42+E74TqSP5iId+itBCtS60NehBFG2hOx7VlM0tx7yb3pe7SyA1iz15jumKN4SItoYV/v\nISnujcHf7zL8/SoTAHwpXavFTBnuNo0qLdAgdBulp/0Jf/fzMJzVYxC9I+7BO+IePPMeRC/dT+Lc\n+9ACRRAJgFZ9wlR+cnWLip6/GRHyEm47uM6mE1a+jGfx42ZZBoudSGInRCMCkSt+gwDFE6ZUv/aK\nf6N7cxG+fGQ0e+5oseauI/nT2yi4fAY5d2+LKVHBDqPw974E7/A7sEdDGBLWvk3ZaQ8jHUlgTaBw\n4gdovrw6Y+dKz34Sx4aPSPziV5SMe7baPtuuBTjXTMWxtXr8qAiU4F78dyKeLAybB8e2Lwj0nFCr\n8uVe9Biu781adtm/2tPkcYOW3HW4F/yZslP+QLjd0YU+hNucgFZ6AL1oZ43JdOGVH2PbOZ9Qm5pW\nMYCIK4NwUmcsxbvQ/MVmUH7IhxYsRTpT0Yp3k3vzCiyF20madS1lp/+FUPsTCbU/EduuBWiBkmqu\nX0vueiKe9g1yRYpgGaHMQeaz6NAYygpLmBD4+17W6EQf+9Y5hFN71qqcH0qw6xhy79pstllPAllr\nQLkdMV0xoY6jQLdj3bsUETX9OtZ/QPorA7FvnFnnucmzryfxq/tr3Zf0yS24v320xvaKm2woo3+1\n7anvnovny+o38tzb1pI/eS5GbdlTFgdFl74bM/OLYCmObV/UyN7Ku3YBxeNfItTxFLzD7iD/mnkE\nep4PUpI63QzqrKj7Uhf+flfE2qjAcLfFN+haDFcmhjMNzZuHFizFSMgEoRHO6G/WL4qile5HCp1I\naq9626pAGGH0sv2I6Ewv8cvfkPTp7TWO08qyse5fgXPt2+hFO2u9ll66H/uWT7HuX076lCGxEgaH\nw7b9Sxzr/tugY+tCeHOxHIjvotCOTTPN8gPZP2Lfs8icgUZJ/e+FJM2503yj6UQSOyKd6di3f0nS\n53cjQkfnyoukdCX7vmxKz6k7rieGEanVLaHnb0Ir3o1j3X9x/vhWDfexXrCFxC9+hV6w9ahkrXbN\nwh04100nlHWSqSjUgnfQdRRd8Br5v/iSgstn1rBUC18Btp3zq9VLcy96jMS59Vu/RMiLFHpMESg7\n488UXf5RwwSXstpKFlrp/mqhCXm3rSX71webTPECIBKOWiLbVbNelZ3xF7zD7wBpEOg2jtLT/kQ4\nqQsYpnyOjTOw7l1COKN/nRlo0uZG8+aZVjQjUm1f4pe/iSleReNfxh8tkQCChNWvgdDIu3klofS+\ndSp31n3fm+1ollhphaYk4m6HfffCaiEWR4Lw5uH56nekTRtN4meHLPUjJdLmJtD7IgxPu1rPN5I6\nUzhpJkXjX44lJtj2LCbjlYF4T7iB/Ks/x0jsiLQ4o8+JXdg3f4J190JCmYMonDidcFrv2PXSpo0m\n9d3zGiS7c+3bZL7UB8eGj7Dkrqu2TyvPIfOZ9jjXvg2RkOniP+R7rhMjTPLs60l/s57lkWpB+AtJ\nnHN3LCSnNaIsX5gzF8e69wl1PIXkWddReNFbBLuPw7p3KXp5DgmrXyNQWy0sKfH3vIBQHSUOKoLZ\ny05/uPppzhSyf32whp/cevAHtPIcqlatMlyZtVqxwExXl45UszI2EE7vS/mIX2IckkkYSe9Treq9\n1G2mmzEhHREJUnrqHwh1OrXG9a37l2M4komk9sTfdyLBDiNBVA4Z2/av0ALF+PtONANeNatZsDVa\n6NUz/4+E0/vGlMNArwvA4iBx7r14h9xcw7yt529GWuyxOBjnmjfNz9XGtCD4e06otYxGwsqXcK18\nCYDi8/5dq/vVN+Bqgh1GEUntgeYrwLn6NcpG/63Wfq1K8uzrEUbYdGkeYaJAwo/TcC95Ijbr1gu3\nEUnu2ihrk1Z2EPv2ubVn0BkRvENvJZwxgFDWSZSc+Tf8/SvXhpNWNyJgZqL5+03C32+SeZork3Bq\nT9Oaw9Gt6mA5uBpL/kb8/esvoOha9gyW/I01rDVJc+4yx46U6EU78Xz1O0rPfDSWnab5i3Cuex9/\nr4tiM2D7ls+IJHc2H+xHInPeBtxL/4FeuM3svyqWKs/c+7DmrqNg8hdEAEJeNG+uadmtMhGyHlhF\nyv8mU3Dlp4Tam0V+zTFa/6zbO+x20wJQdXZexUJQH5o3l4xXBlIy9p/4Bl1L0ud3QyRkZrdWnC+l\n+eARGsEuZzawR+om2PUs8m5eAZhWO8fGGRRc/QV6wRYcG2fiWvY0Ob/ajffEu/GeeHfsvISVr6B5\nc7HvWkD58DuIVHm4V+D5+kEsuT/hHXxT9J5YaZWWFiflw+40PRBVfi/S5sbX93IiiR2Qdg8F135T\np+y+gb/AN/CaqIW3Ca0hkRC2PYtj8ZaR1KNbzUMvzybhx6kAiHD1wtciVE7mC92JuNtRdMFr1TLO\nK9BK9mIp3Eagx3mxGN6KyXIksSO2fctwrn2HslG/pWzEr4i425E6/RIC3c+hpNNpNUIygm2HNqgA\nN5gB91LoJH51P95B11B25l8rP1fxLoQ0iLja4tg8i6Q5d5F3w5JaXas1rutt3Bq0SbNvBGlQPGEK\njs2zMNxtzHCFVohSvjBn1a5Vr1KUdTLS4oy5UUIdRsFP7xBOq2O5HiEoGfN3bPu+R/iLa8yec+7c\nVF3BqoJr2dNIiwPv8Dtj2/Inf1ltVmnJXkPyxzdh2NyUnfpQjXIKSXN/jQiWUzDZrDhtJHag7NQ/\nVjvGuu97Ela/RiRqnbIUbMW54QO8AyZTOuYJswBnWm9zYWNrdetX6vsTzCyjqLnbsCdVM6s7176F\nXrzbrB9TJeakQkmxb/sCESiJKV/hzIEY9iQyXjuRULvh1ZQvS/aPpL1zNt7BN1J6lhk3pAVKCGUM\niCmfgR7nEU6vUiw0igiWIXUb4ZQeSL322W84c0CsDljxBf8h2H5ErccdSukZj5jfSWMULylxLf0n\nge7jiHiyYrWPNF8hmi+ftGmjKTnrcXyDb2zwJZ0/vUvC8ufx9buiZqyEpuMd8avYW9/QW6rtLh7/\nb9CsMdkqHkD+fpfj73d5wz9XHVQsiWJe84rKB5yUiGBpNYVZL9iCdf+KGtcQwTJzfKX3xe4vxIKs\nVlQ14snCe8L11VyPyR/fANReUyph1SsEuo2rMw4SwHAkEWw/AufGj8zSElWULy1QjAj7sOSuI3nW\ndUihYSneRdEFr5tW4wq5w14Me2IsoQGg5Nzn62yzAulMJVJFibNv+ZSkz+6k8LIPapTcOJQKK5uM\n1kMzEtKx5FRaG1LfPptgx1NwbPiAYJcxR6R8JSx/Ab1oJ6VnRzPGqowbEfJizV6D5s0lfepphJM6\nIZAkrHwFa86P1RTrcFovRFInnOvew9/jvFqVL9ueRYTTelN61v/V2Jd/vZkYpJUdJGHly/j6X0Ek\nva957z3vBTxf/Q7PvAfJu22taW2rxaXYFGO8NiwFm0mZcQXF573YJJmU0urC1/9KvIOurTExrVBC\n9LID2PYurVX5sm+fS+K8Bykfdme0n/oQ6DGe3Ft+MAPRZ5rJUsXnPkv5qX9AeHMJp/ch0GU0wleI\na8UL+HteEPsdFE6aefhErChlJ92Ld+AvSPqipsU3lDmA/Ks+I5LaE1s00UuEG7aMkeFuS/H4lxqc\nUGIp3Eo4pTvoVspP/CWhNo1cZ7QZUcoXYLjb4+tzKaH2w8n55c7Y9kPjUA5FKztoBoJ+chMFl8+s\nUcNE2txo5TnIQ/zPjvXTcS95glBG/0rlS5j1xKzZq4mkdAPMpTX0kj3ogPXAyhrKl1ayr0ZWjHXv\nUtCssVm4JXsNjk3/I9huGJq/GL3IdE+IsA90K/6+E8l8thPeIbdUj28L+ZCIWGyYZ/4fsRRuw9f7\nEkqiVdENTxaG2zSB23bOx/3to2jBUkrOfopg5zPwDbiaSJW1Fm3bvkALlJg3l+hnrMD5kxnDohdU\nLvhaeuZfcS9+HOv+5WahwDl3UXbyb6tXawdKxzxhJgLUEsxbQcL3zxFqO5RQp1MJdD+3zuMOpWJ9\nPueqV4mk9qwRb1Yr0sD93VM4Ns6IWT0LJpmzsIrPF65vliwNXEufpHzU72KbNG+e6bapJUjVkv0j\nWtkBgl3H1hrLVrUgY9Ls69ACpeaNtYmIZSRanGY2ojUBpCRt6mmIkJe8W1aBEcH541uEMwciqOl2\nzL9haezh6R1yC5aCzUQSKxV6w9PeDOKuQvmJ99Tujo8E8XzzMLZd39YbUxnqeAqFV8wm5cOJNazL\n5SPvQ4S86EU70Uv2mJ9PaDVqWQV6XUhuzBXWcJyrXkUvOxgbH8HOZ4IQODbPOqzyFUnsQP4vvo65\nlorPeRqqTDr0oh2IrBGE2p8U6x/hzcNStMO8XzSgAKV9x9cQ9scsfYmf3YGlaAcFk78wlajkLjEl\n0D/gagKdz8S59m0cm2djf3YuBZNmEG43jJJzn0cryzbrTNVRj8w7+EbQLObvPKN/DdeuVp5Dxqtm\n7ahgx1Gm8oW5nmtFWZXUaaOJpPasYVFFShwbP8KwJ+Ne9DfKTnu4ySwhWuk+pMVJKHMgwl+EZ/4f\n8fe6sDLWspFEkrvUiHmL7XO3peDKT/B8eX/snlsXrpUvEk7vbXo7LHYMT3tEjrlKQ6DzmWB1Yd2z\nBGlxxO4DWukBXMtfIJLUhXDbwQhvHikfXkb5yPsJ9JpweOGtLowkV+33FWtCTFkMdj6DvBuXxcbu\nYQn5TK9DA1cnKDn7KWR0fFetieb46V3w74ezHmpYu82AivkCQlkjKBn/Us2lc3LXmTVt6li6w734\n7yR/chMRV2aNtbiEN5c2z2SRMWUIwlfddFoRn+HvWzkjs+2cT9q0s0j67I5YGm4ocyDFZ/8L34Cr\nCdeiwedfO5/Ssf+sts0z78HYenhgFossH3obvkHXEeg+jvKTfk3hxOmUnPciwl9EwoqXEJFALK6q\n8sM7KJz0P9PVSOWyF45N/4u5R0rPejz2QNTKDmLNW28+qKKKZvnI+6rNOhPWvk3CypcoHftPQh0P\n8eHLCOGkLhRd9mFsU8SThWPzbDO1OmLOlNxLq39es3HdVLwqCusdihHGvfjx2HJRAO5vH8Xz9QM1\nj6162fIc7JtnI3wFuJY/j33LJ/UeX1WespPuI5zWi3BaX0pPe5hQdDYZbjvEXCWgTc1gbEvuOvSi\nnTjWf2DGPVWJjfL3PB9pT4rFr1TF+dN7JM25q043puOn90j8/B5TNG8eMmrFs+5eROZzXY66RlQo\nayRFF75J7u3rKh+cYS+Wgi1m+Q8jgn3zbBLn/Z5IcpfY4sZaeQ6eufdBqNwcM7oNQl700v2E0/tV\ntyRLieXAKrQq8Yxlpz1UzXIcQ7cRyhhQQ0k/FOHLR/jyKbx8Rg3rSDijP6H2JxKJWnS9g28k5959\n1dy5deFc/QZpb4yqtyaZbc9ibFVqOUmbi4IrZlN6+p8Pe30sDsKZAyrdn1ZXNaW7ePzL+AZcTfGF\nr1N2xl8AMwQi9f0JCH/Dyub4+l+J7eAqkqLjRi83V00AiKT3xd/nUiIp3cm5ezvlw+4g3HYIge7j\nCHQdi4j4zQzyQImZ1Z2QTunYf9SZRecbfAOGPZHU9ydUi1fV8zeR8VI/rPsqa9FVnUhJAp9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ecZHf6GHL2aT9wXpdw3W6+hVhYX+QKtjGv9LzLLdTYbbL2wGCq3+h5nm6ULG2092WGtW7A9up+3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\nwb5rLvZd3ycsW8S1w75tDvbd8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2T4i5GGtdYLW594Lp5RXUA0QTgmkjuZqtzJVB35+wai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\n6yg2Jww8HK6YB5nt7PlZulV5Ps1wyxGkRY+qXK9lT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BqNRtNj0MaXRqPRaDQazT5EG18a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\nD0nwJYQQQgjRh/4f8BnES3eQ3rgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109c22410>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_init = model.loglikelihood_burn\n",
"k_exog = model.k_exog\n",
"\n",
"fig, axes = plt.subplots(k_exog, figsize=(10, k_exog * 2))\n",
"\n",
"index = model._index[n_init:]\n",
"beta_hat = res_mle.smoothed_state[:, n_init:]\n",
"std_err = np.diagonal(res_mle.smoothed_state_cov)[n_init:].T**0.5\n",
"\n",
"for i in range(k_exog):\n",
" axes[i].plot(index, beta_hat[i], label=r'$\\hat \\beta_t$')\n",
" axes[i].fill_between(index, beta_hat[i] - 2 * std_err[i], beta_hat[i] + 2 * std_err[i], alpha=0.1)\n",
" axes[i].plot(index, beta[n_init:, i], ':', label=r'$\\beta_t$')\n",
" if i == 0:\n",
" axes[i].legend()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gibbs sampling\n",
"\n",
"For simplicity, use independent improper inverse Gamma, $IG(0, 0)$, priors for each of the variances."
]
},
{
"cell_type": "code",
"execution_count": 320,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"500\n",
"1000\n",
"1500\n",
"2000\n",
"2500\n",
"3000\n",
"3500\n",
"4000\n",
"4500\n",
"5000\n",
"5500\n",
"6000\n",
"6500\n",
"7000\n",
"7500\n",
"8000\n",
"8500\n",
"9000\n",
"9500\n",
"10000\n"
]
}
],
"source": [
"from scipy.stats import invgamma\n",
"\n",
"# Parameters\n",
"n_iterations = 10000\n",
"k_params = 1 + model.k_exog\n",
"\n",
"# Function to draw from an inverse Gamma distribution\n",
"def draw_posterior_variance(resid, variate=None):\n",
" # Due to the scaling properties of the inverse Gamma,\n",
" # we can pre-compute the variates with scale=1, and\n",
" # then transform them via multiplication\n",
" if variate is not None:\n",
" variate = (np.sum(resid**2)) * variate\n",
" # Otherwise we can just draw them directly; the\n",
" # downside of drawing them directly is that the\n",
" # invgamma function has relatively high overhead,\n",
" # and can slow down the estimation\n",
" else:\n",
" post_shape = len(resid)\n",
" post_scale = np.sum(resid**2)\n",
" variate = invgamma(post_shape, scale=post_scale).rvs()\n",
" return variate\n",
"\n",
"# Create inverse gamma variates\n",
"variates = np.zeros((n_iterations + 1, k_params))\n",
"variates[:, :model.k_exog] = invgamma.rvs(model.nobs - 1, scale=1,\n",
" size=(n_iterations + 1, model.k_exog))\n",
"variates[:, -1] = invgamma.rvs(model.nobs, scale=1, size=(n_iterations + 1))\n",
"\n",
"# Create the simulation smoother object\n",
"sim_smoother = model.simulation_smoother()\n",
"\n",
"# Create storage arrays for the traces\n",
"trace = np.zeros((n_iterations + 1, k_params))\n",
"trace_accepts = np.zeros(n_iterations)\n",
"trace[0, :] = 0.1 # Initial values\n",
"\n",
"# Iterations\n",
"for s in range(1, n_iterations + 1):\n",
" if s % 1000 == 0:\n",
" print s\n",
" \n",
" # 1. Gibbs step: draw the states using the simulation smoother\n",
" model.update(trace[s-1], transformed=True)\n",
" sim_smoother.simulate()\n",
" states = sim_smoother.simulated_state\n",
" \n",
" # 2. Gibbs step: draw the coefficient variance\n",
" for i in range(model.k_exog):\n",
" resid = states[i, 1:] - states[i, :-1]\n",
" trace[s, i] = draw_posterior_variance(resid, variate=variates[s, i])\n",
" \n",
" # 3. Gibbs step: draw the measurement variance\n",
" yhat = np.sum(model['design', 0] * states, axis=0)\n",
" resid = model.endog[:, 0] - yhat\n",
" trace[s, -1] = draw_posterior_variance(resid, variate=variates[s, -1])\n",
" \n",
"# For analysis, burn the first 1000 observations, and only\n",
"# take every tenth remaining observation\n",
"burn = 1000\n",
"thin = 10\n",
"final_trace = trace[burn:][::thin]"
]
},
{
"cell_type": "code",
"execution_count": 321,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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SU0keOW+fiYy7FvNNZOy1lK0r426+fFMdd0kuS/LBJIeTHEry2qF9JjbuLgRj/v5bnVNW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\n8hcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10b25be50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 2, figsize=(13, 5))\n",
"\n",
"axes[0, 0].hist(final_trace[:, 0]);\n",
"axes[0, 1].hist(final_trace[:, 1]);\n",
"axes[1, 0].hist(final_trace[:, 2]);\n",
"axes[1, 1].hist(final_trace[:, 3]);"
]
},
{
"cell_type": "code",
"execution_count": 325,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.00328567 0. 0.00234367 1.07623988]\n",
"[ 0.00224015 0.00019825 0.00162694 0.06696647]\n"
]
}
],
"source": [
"# Median and standard deviation\n",
"print np.median(final_trace, axis=0)\n",
"print np.std(final_trace, axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 326,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Fit the model using the median parameters\n",
"res_gs_median = model.smooth(np.median(final_trace, axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 327,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6WXvmv1HMWLP9CF8mwUkPNDoQdxMPRWManldrt2LmDHPsKpjUxIsBziIC37KX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dJrP+UZMZxepK/2JZGu/qZyl4907i/pF0zv7Wvv3A8pgEX0IIMURkRsb2Rm49zNy10pnamYMt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a4c2d90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_init = model.loglikelihood_burn\n",
"k_exog = model.k_exog\n",
"\n",
"fig, axes = plt.subplots(k_exog, figsize=(10, k_exog * 2))\n",
"\n",
"index = model._index[n_init:]\n",
"beta_hat = res_gs_median.smoothed_state[:, n_init:]\n",
"std_err = np.diagonal(res_gs_median.smoothed_state_cov)[n_init:].T**0.5\n",
"\n",
"for i in range(k_exog):\n",
" axes[i].plot(index, beta_hat[i], label=r'$\\hat \\beta_t$')\n",
" axes[i].fill_between(index, beta_hat[i] - 2 * std_err[i], beta_hat[i] + 2 * std_err[i], alpha=0.1)\n",
" axes[i].plot(index, beta[n_init:, i], ':', label=r'$\\beta_t$')\n",
" if i == 0:\n",
" axes[i].legend()\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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