{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis of Bridget Jones's Diary\n", "\n", "## Trend Lines From A Sample" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/eshvk/anaconda/lib/python2.7/site-packages/matplotlib/font_manager.py:273: UserWarning: Matplotlib is building the font cache using fc-list. This may take a moment.\n", " warnings.warn('Matplotlib is building the font cache using fc-list. This may take a moment.')\n" ] }, { "data": { "image/png": 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UJI0c6VofFua+PiBAGjTItb5ePff1NWtKvXu71kdEuK+v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\nJEmSJEmSJB2C5P0NGDt2LOPHj2f06NF1tvfq1Yt58+bx4x//uM72hx5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import json\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "book1 = 'book_1_gist_subsampled.json'\n", "data = json.loads(open(book1).read())\n", "import matplotlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "\n", "day_nos = []\n", "weights = []\n", "for key in sorted(data.iterkeys(), key=int):\n", " day_nos.append(int(key))\n", " weights.append(data[key]['weight'])\n", "weights = np.asarray(weights)\n", "day_nos = np.asarray(day_nos)\n", "\n", "def lin_reg(x, xp, yp):\n", " \"\"\"\n", " OLS\n", " \"\"\"\n", " m = (np.dot(xp,yp) - (np.sum(xp) * np.sum(yp))/float(yp.size))/(np.dot(xp,xp) - np.sum(xp)**2/float(xp.size))\n", " c = (np.sum(yp) - m * np.sum(xp))/float(xp.size)\n", " return m * x + c\n", "\n", "trend_line = lin_reg(day_nos, day_nos, weights)\n", "r = trend_line - weights\n", "r_m = np.abs(r)\n", "fig,ax = plt.subplots(nrows=1,ncols=3, gridspec_kw={'width_ratios':[2,1,1]}, facecolor='white')\n", "fig.suptitle('Bridget Jones\\'s Weight',fontsize=15)\n", "fig.subplots_adjust(wspace=0.25)\n", "fig.set_size_inches(24, 6)\n", "ax[0].scatter( day_nos, weights, s=50, marker='o', alpha=0.4)\n", "ax[0].plot(day_nos, trend_line, color=\"blue\", linewidth=2.0, linestyle=\"--\", label = \"Trend Line\")\n", "ax[0].set_yticks([weights.min(), weights.max()])\n", "ax[0].set_yticklabels([str(weights.min()) + ' lbs', str(weights.max()) + ' lbs'])\n", "ax[0].set_xticks([1,365])\n", "ax[0].set_xticklabels(['Day 1', 'Day 365'])\n", "ax[0].spines['right'].set_color('none')\n", "ax[0].spines['top'].set_color('none')\n", "ax[0].spines['left'].set_color('grey')\n", "ax[0].spines['bottom'].set_color('grey')\n", "ax[1].scatter( np.asarray(day_nos), np.asarray(r_m), s=25, c=\"red\", marker='o', alpha='0.8', label=\"Residual Magnitudes\")\n", "ax[1].set_yticks([r_m.min(), r_m.max()])\n", "ax[1].set_yticklabels([str(round(r_m.min())), str(round(r_m.max()))])\n", "ax[1].set_xticks([1,365])\n", "ax[1].set_xticklabels(['Day 1', 'Day 365'])\n", "ax[1].spines['right'].set_color('none')\n", "ax[1].spines['top'].set_color('none')\n", "ax[1].spines['left'].set_color('grey')\n", "ax[1].spines['bottom'].set_color('black')\n", "ax[1].set_title('Residual Magnitudes')\n", "res=stats.probplot(r, dist=\"norm\", plot=ax[2])\n", "ax[2].set_title('QQ Plot')\n", "ax[2].spines['right'].set_color('none')\n", "ax[2].spines['top'].set_color('none')\n", "ax[2].spines['left'].set_color('grey')\n", "ax[2].spines['bottom'].set_color('grey')\n", "ax[2].set_ylabel('Ordered Residuals')\n", "ax[2].set_xticks([-2.0,0,2.0])\n", "ax[2].set_xticklabels([r'$-2.0$', r'$0$', r'$2.0$'])\n", "ax[2].set_yticks([-8.0,0,8.0])\n", "ax[2].set_yticklabels([r'$-8.0$', r'$0$', r'$8.0$'])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "There is a small downward trend when fitting a trend line. Note that applying linear regression is possible only when the conditional error, i.e. the spread you would see if you weighed her every day was normally distributed with a constant variance across days. \n", "\n", "The spread of the residuals (_actual weight minus the estimated weight for the day_) is by far not constant. However, it isn't apparent to me that the spread is out of line. I am not quite sure how to find. The $\\mathbf{QQ}$ Plot compares the $\\mathbf{CDF}$ of the residuals against that of a Standard Normal distribution. This is supposed to lie very close to that line. Again, I am not sure what _very close_ means. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Trends From More Days" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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r33HQOx2fh+lCUcwWcHTzTuRGsgg1\nhDH/2p6qBb0Vdc2x5yQChGUht2sXiskkfIkEQt3dNRH0OtksnHQaTqEAkc9D5HJwCgWEli+H0dxc\n7fLmLIa9REREREREREREdFKiWISiKFB03XUss2MHCgcOlEPbyQC3/uabEV6xwjX/yD/+I8ZffNE1\nPu/Tn0bdNdeck/ovBO57hoiIiIiIiIiIiGqKk8vByWTg5HKlIHYikA0sXgz//Pmu+cNPPonxrVtL\ncyf+SNtG6/33I3H99a756a1bMfab37jGI6tXe4a9vkQCvqYmqMEgtGAQ6sQfX3392fmBL1AMe4mI\niIiIiIiIiGYhaduQUkL1+VzHsrt2Ib9vXym0zeXgTAS4ddddh2ive8O9oR/+EMmnn3aNt3z0o55h\nr51KwTxwoHJQ0yCLRc9aw6tWQYtEoIZCUAOBUoAbCiGwYIHn/Oa770bz3Xd7HqMzx7CXiIiIiIiI\niIjoLHPyeTjpdLmL1pnojvW3t3sGoKNPPYXU889PLYGQz0MWi2j+yEfQ8N73uuZnXn0Vo7/4hWs8\nuGyZZ9ir19WVOmkDgYpuWqOlxbP++ptvRvyaa6AFAuUAV/H5oCiK5/zYZZchdtllJ7tZ6Bxj2EtE\nRERERERERISJTlohPDdAy+3di1xfX8WyBk4+j9gVVyB+5ZWu+SM//jFGfvpT13jTnXd6hr32+DgK\nx3fSqiqkbXvWGuruhqJp5eUP1GAQaiAwYydt4223ofG22zyPeTGamoCmplOeT7MDw14iIiIiIiIi\nIprzhGnCHh+vCGJFPg9j3jwEFy92zR/bvBnJp5+uWAJBWhYab78dTXfc4ZqffeMNDD/2mGvc39bm\nWY9eVwdfY2NFEKuFQjA8lkwAgMS6dYheckmp63aim/ZEnbTRNWsQXbPmBLcIXYgY9hIRERERERER\nUVVIx4F0HM9O2vxbbyG3c2c5tJ1cDiGyejXqrrvONX/0l7/E0KOPusYb3v9+z7DXSadR2L+/clBV\nIR3Hs9bQ8uWof9/7pjYTm1gOwWu9W6C0DEL9zTd7HvPia2iAr6HhlOcTeWHYS0REREREREREp02Y\nJpx0utwVO9khazQ1Ibh0qWv++JYtGPnZzyq6bqVlof6WW9Byzz2u+fm+Phz7/vdd43pdnWc9eiwG\nvaGhFMZOW5fW397uOT921VUIXXRRufNWCwahGMaMnbThnh6Ee3pOdJMQVR3DXiIiIiIiIiKiC4QU\nAtK2PTtpC4cOIfv661Nh7ESAG+ruRv2NN7rmj23ejMFNm1zjdevWeYa9Ti7n7qRVlBnXpA10dKD+\nve+t2ExMDQRgzJvnOb/u+utRd/31nse8+BIJ+BKJU55PNBcw7KUzZgkTu9N9SFpJJIwEOqNdMFR/\ntcuiM8T7k4jmonRyCG88+ySszBiMSB1WrLsV0QQ3kSAiIqLaJCxrqpN22h89kUCos9M1P/3qqxh+\n4omKNWylaSJ+3XWY/8lPuuYX9u/Hse99zzWuBgKe9eixGPT6+qkgduJPwGPJBKC0xmzgy1+u7KT1\n+2fspA0tX47Q8uUnuEXOH8e2kBrqg5VPAnoIB44JpMdNxOoiWNlzEYKBYLVLJALAsJfO0JH8YTxy\nYBNMx4QjHWiKBr/mxz2L1qMt6H16BM1evD+JaC7a+dtfYGjf01BUB1AlrOwRvPLjN9G09N3oueaW\napdHREREBODEnbTm228j89prrg3Fgh0daHj/+13z01u34ug3v+kaj115pWfYKwoFFPr7KwcVBZih\nk9a/cCHqb7mlspM2GITR3Ow5P7Z2LWJr13oe86LX1c24BMNslk0dwb5tm+DYBZimiUK6CCl0ZIYu\nxVixgAObf4PeD3Zi2aIl1S51ThkdL2IwaSFnOsiZovTfgoOLFobRvTDsmv/vm4/hx78bRs50cO3F\ndfiTDy6oQtWzH8NeOm2WMPHIgU2whY2wPvXgKzgFPHJgE/608y9gqO5fYjQ78f4korkonRzC0L6n\nAUVCOr6pA6qDoX1PI73iMkTruLkFERERvTOiWISTTlcEsSKfhxaNItzd7Zqf3bULx37wg9LyB9M2\nFItefjnaP/tZ13zz8GEc+7d/c41Lx4HXKxktEoGeSLiWNQh2dHjWH+7pweIHHqjoulX9fiiq6jk/\nuHix50ZmFzLHtrBv2yYIx4aqh5A7ZgHSgKIVEW95GcPD1wKWjm2P70bbH81D0O/dBT2XSSlhFgVy\nhVIgGwpoqI/6XPN+v3scL+0arwhv86bAzZfV4wNXNLrmP/nSMB55etA1/tH3tHiGvXlLYGDUAgCM\n57w30SOGvXQGdqf7YDpmRTAIAAEtgKydxe50Hy6Or6xSdXS6eH8S0Vz0xrNPQlGdyqAXAIQGRSti\n5zNP4Io77q9OcURERFRVJ+qktYaGkH7lFVcnrb+9HU233+6an92xA4f/5m9c45HVqz3DXmlZ7k5a\nYMY1af3z56P+5psrwlgtGISv0R2MTV7v8v/1vzyPedFjMeix2CnPJ7fUUB8cuwDdiCCdyQBSAVQJ\nKX1QVQt+/xBMtEIpaHh95y5c3ttb7ZJnNJi0cGCwMBHGloLYXMFB98IwLuty/zt5/LdD+NdfDSBn\nOhByavzD61pw3y3udZP3Hs3jx78bdo2v6oh41tOaMNDVHkIooCLk1xAKaAj5VXS2u4NeAPjAFY24\nYXWiPJ+8Meyl05a0knCk9ycojnQwZiXPc0X0TvD+JKK5yMqMAar0PqhImJnU+S2IiIiIzgpp27An\nOmmnh7FqMIjIxRe75uf7+zH43e9Wdt4WCgivWIGFn/+8a741OIhjjzziGncyGcAj7NXCYeh1dRVB\n7InWpA0uW4ZF/+W/uDpvZ+qk9be1oeXee09yq1A1WfkkhBAAANs+/r2zgKblJ/+K8WT2HV+fEBJ5\na3JJA4G86SAW0jG/0b2nzst94/j1ttFSx63llDtvb7ykHh99T6tr/uYdY/jnnx11jd9xTZNn2AsA\nmYINDYBfVxAM6Aj5VYQCU/+e04M52JYD6Uh0BYD/dGUd/JqKcFsE4agPIb+KpvjUBy8HtgzAytoQ\njsQCR+DTSwwIR6Lzhnb4I+5u4W3f34PcmAkpJIQtIRwB6UhccX83jETtdVGfDQx76bQljAQ0xfsT\nFE3RUGdwJ8u5hPcnEc1FRqQOVvaI90GpwB+Jn9+CiIiILmBSSshi0bOTtphMIr1lC5zJZQ1yOTiF\nAozGRjTffbdrfm7PHhz8+tdd48HOTs+wVzoO8nv3usdn6KQ1mpuRuOkmaKEQ1ECgHMrq9fWe80Nd\nXVj+v/+35zEvWjg8azYUo7PDCCagToT1uq7Bhph2VIXjBCf/iliisiP16LCJNw9lyyHs5PIG3QvD\nuGFN6b22lSuWQ8xfvzyC7z09CBXAKBQ4KG1c9x+uasQf31baT2dg1yiKuVJY+va+caR2pKAC2Cs1\nFCbmj44XyzXs+vkB5FMmhCMRS1lYH3WgK8DwkgR8ET9CAbViyYTf/uPryAzlIYSEYQv8yURyeP2f\nrkakyb0J3e8f2Y3sSKH8tQbABrBmhvn7XxiomD9pyZWtnmFv6u0sssPu+U5xhsYPYthLp68z2gW/\n5kfBKSCgTX2KUnAK8Gt+dEa7qlgdnS7en0Q0F61Ydyte+fGbgOoAYtoHVqoDKTT03HBb9Yojt7++\nqQAAIABJREFUIiKaQ6TjVHTSinweTi4H1TAQWb3aNd88cgRvb9zoWsM22NGBxV/+smu+PTqKQY9O\n2pk6Y8udtBNB7GQY62/33jja395e6qQNBKYC3EAAiubd0GI0N6P1ox89wS1Cc5GUstT56UhIpxSc\n+oI6VM3dUZ08lIZtOhCOhG0J5AsOTNOGvz2GAoBcQaA+qmNZWwgAMLq3DuP7eyAdYCwfxkAqDClV\nbFMcpIQPBTuIDn8BV9elcXFPN17+bh+yIwVIRyKbs5HN2VABPOYYGEOpHrMoymHvC998oxxmqgDu\nmUjqfhIIwQ76EPJraIxPhaB9Tx1CZihfnn/NxD/1O+5YhHhLGCG/hlh46t//sd1j5fkAMLk93vtv\naEW0JeS6fWzLgW1WdjCrmgIpvMPVaGsIvqAGRVOhagpUTYGiqlB93t3sC9e2oJi3J+aWvkfRFBhh\nd9ALAGvuWgbhyKnLnvieYJx7C82EYS+dNkP1455F6/HIgU3I2lk40oGmaPBrpXFu5jW38P4korko\nmmhC09J3Y2jf01C0IqBIQCqQQkPT0ndzczYiIqppUsrSmrQ+dzhij49j/He/q1jSQOTz0GIxz5Cz\ncOgQ3vrKV1zj/gULPMNeKQTye/a4x2fopNXr65G46aZSGDttXVq9rs5zfmDhwtPrpA0G2Ul7nuXG\nTDiWUxGsCkeiri0C3WMd1SPbh2FmipB2aZ6Y+J4lV89DIOp+v/n6k/uRGylUzJWOxCUfWY5wQxBC\nSNhCwtBLYeLm/7Md4wM51+UMr27FuK4hVxC4aEEIt1/TBADY8Xg/0sfyrvmP2AZGJsLY9/Qm8Pm7\nFwEAjr6WRGZwAQDAB2DBxPzf2mGMT8y3oKD3g50I+gPIjZrITLv8cKnZFu+9tB5GQwAhQ8Pi1qlG\nK3/EB9t0oGoqlIlAU9UU/Pe7lyPS6O6MbelOoG5BpByWKpoCVVWweHnc8/a86JaFcCz35Qfr3MtC\nAMBVf7gCioJysKqogKIonnMB4NKPdM54zEvH1e61fk+krt17vV+aGcNeOiNtwXb8aedfYHe6D2NW\nEnVGAp3RLgaDcxTvTyKai3quuQXpFZdh5zNPwMyk4I/E0XPDbQx6iYhoVpNCwBkfn1rWYKJDVlFV\nRD02drKGhnD0m9+EyOVKcye+z2htxdL/+l9d851MBoPf/a5r3GhpATzCXi0UghaLlYLYic5YLRSC\nr6nJs36juRmLvvSlqbkT4e1MnbS+RIKdtMdxbAFhi4mgdCosDcb90Dy6IYf7U+XT9ifnCkdi/soG\n+D26Ifc8ewT5scLE0gBTYemKDyxGqN69xumW77yJ9ECuYq5wJK75o4sRn+feKOvlTX1ID7rD1Xf9\n8UrP+f2bj3qGsdn6IOywHznTQSLqQ++yKAAgeSDtOf+L/7AHRywgbwmsW12HL3xkcenARA6pqAqk\nApi2hAPgqd+PlsNb2xHlsLduYRT+qAFVU5DM2dh9JA9FU9Bc50dL2EDIr2Jx61TIuuTqVhTzNqAI\njCYHMZQyYQR8uDtkw3aKaGgIoXflGsTCpe+55MPLIYWcFqyWQlZfQIequUPTq/5whWvsRC66aeFp\nzW/pOr2lGY0Qo8K5jvcgnTFDNXBxfGW1y6CzhPcnEc1F0boGXHHH/dUug4iIatyJOmmdfB6p558v\nd9GWNxTz+zHvfvfvqOLQEPZ94QuucV9jo2fYqygK8rt3u2uaqZM2FkPiPe8pLX8wbV1aPea9+ZLR\n3IzOv/kbz2NeVL8foa7Zs9Rb6fR9QDoCqq5CUd1hWvpYDnbBqQhLpSPRsCQGX9Adixz8/TEUJtY4\nnd69uvS6NoQ8uiG3P74P6WP50txp3auXfbQLsVb3afIv/NPrGH/bIyz9TysRn+8OS3f94iDGj7o3\n/qpfEPEMewd3jSLlMX/5u224qwGsbBGFccs1Lh0J25HImw6EBOLh0m0VqvdDitJp9UUJpPMOHAn8\n6zMDSEFDznSwrC2ET9xc6uCcv7IBDUtiUDQFR0Yt/GZHCg6AN//9CHITSe1VPbFy2NvzgcVwigKq\npmDXoRz++edvwwEwlnFgT8wv2lNLClzzHy+GoipQVAX9b+fx860jCPk13OZXEfJrCAVUzKufut9W\n3d5R8XPe7HGbTLfgkuby3zvgvZzIdF7r1BKdTwx7iYiIiIiIqGZJIeBkMuWNwSY7ZKUQiF1+uWu+\nPT6Ow3/7t1NLIEx8nx6PY/k3vuGaLwoFDP7rv7rGtVjMM+xVg8GpTtrJP4EAfAnv7ju9rq7USTtt\nvhYIQNG9385rkQhaP/axk90sp8XKFeEUJ0JMW0I6AkJIRBqDnqftD/YlYaaLFV2iwpFYcEkTAjH3\n2YN9vzqEzHC+YkkA6UhcfFsHos3u4Ox3396J1JFseS4mcr9rPnOx5ynfr/37PqSOuMPPmeYf3Dro\nOb+9t8kz7E0P5jB22D3fKTquMQDQDQ26Xyuffj95ujxmOFO+sSOGUMJfedq+psA3Qwfm0uvmo5h3\noGoKLCExmrFRFMCOQROFARM5U6A+6sO1K0tLaVx2bxeklBPhah5/9+RhZE2Bf/rHvbAmPlNY2xXD\nhvs6yvMnbe0bx//Y2F/6Ipkuj09f3nXpdW3lvxf7Mzh8uIigX0NHYCKM9avobJ+KoRsWT30wsaY1\njC8siZVD25BfQ8BQoU0L9VV9qhu6Y16wvJEZ0YWKYS8RERERERHNKifqpBWWhbHf/GZqCYSJQBaK\ngrbPfMY138lksOdP/9Q1roXDnmGvomnenbTFomts8nImO2mnbxKmhSs7NKWQEEIC/jAW/9VfQzgS\nvqAOTXeftj92JAMrZ0/rEm2AzEk0La+D7rFb/Vu/G0Bu1L3Gaed72hFucIelr/5wL1JHsxXBqnAk\n1n78Is/wc+t3+jB2OOMav/rTK5BYGHWN733uCMYOuec3dsQ8w97h/pTn/GLBu3tZ2KJyAynlJBtI\ntYSgqIprjVOvoBoAFlzajOZO65TXOL34P3RA2KK80dTkplN+j/VTAeCqT7lP25dSwrIlxjJF5AoC\nUID5DaXr675lUXnekWETP35xCLmCQO4nbyNnOsgVBJbMC+DP7iyd3j9vxdSSVq/sSePLP9znur7V\nHZFy2Dv9PlH9Jg6NTv1bVxUg5Nfg83kn0e1Nftz77haEAhpCfg3BiW7a6RuKTbeqI4L/7y97PI95\niYZ0dC9kdEV0OviIISIiIiIiorNGSgknnS6vRTvZISstC7ErrnDNF6aJQ9/4RsVcJ5eD6vOh6x/+\nwX0FQmBw0ybXsGJMBVb5MRO2WTpt3zYdWHUdgD+IkL8AI+QrdcdOC2Pffn0E+ZRZWuPUFrDf+2eA\nqmNhbz3CLdFSkDsteN718wMYH8hNC0vXQKQkVt+51PM0/Be+9QaSB9Ku8as+tQL1i9xh6c6fvoXk\nQXf4edWneuD3CHuPvj7iefmLrmjxDHtzYyYyQ+4NqhxbuMaA0gZSgZjhCjNVj6AaAJo7E4g2BycC\nVrX8ff6odwDY+e522AXHtcapV1cvAFz+sYsAYOqyPZZumG71HUtPePx4iy5vOa350+/zTN7Gmwdz\npRDWzCJXcJA3BeJhHbde1ej63l0Hs3hwYz9ypgNn2s2/YnEY//Mz7o3nxjJF/OiFYdf4TPtn1UV0\ndLaHEPKrCE500YYCGhY2udfuBYDO9hC++RcXTYS3Kvw+9YSbc82r9+NjN53ehltEdG4x7CUiIiIi\nIiJI2y4vDeAUSxtICUfCKToY++0LcPImdJGFYubg5POQxSLa/+RPAAAjb43DTFul+WYRAw9vglRU\nhPP7oTsTp7drGqJr10JRFOx7/igyQ/mJDaQExocXQyoqGlIvwSiWQkupKJBCQFFVvPK93Rg9kC53\noDoL/yOkVNDdnUJds17qpg0GIaWEoih49Yd7MTo9/IyWVuW88v4eNCxxr1371ksDGH3r+LDUxPzL\nF3qudTt2JOMxH7BN707UyaxsepeoqnkHpUBp93nd0CqCVUVTYIS8w9JFa1vQ2lNfWhJAV8ohq1fQ\nC5TCT+EIV+eq7veOCC776Omt0bt8XdvJJ03TtKzutOb7Au8sypBSomAJ5EyBXMFBznSgKErFUgKT\n3h418Z2nBpA3nfL8vCkwv9GPr97X4Zp/ZNjElyeXNZhmeVvQM+z1aQrS+VKXsk9Xyp2x9TME4/Mb\n/PjMrW3leaGJ/8bC3rdJx7wg/t/Pdp7w9pguYGhob/LueCaiuYFhLxERERER0Tkk5dRp8qqueu7G\nnhnKw8rZU2ucitLaqPWLop6dnIdfHUJ2pFBe49QpWHDMIhZ0BxDwF8tLHMSuugqKouCNn7yFscPp\niXBVwhoegZTAvOJW+LOHS2vYOg4u+ud/hqKq2PKdNzG6f3zaNYYAhDDv2GYEzaNTP9tEQLz76cOV\n8+uvAwCEEzpCoXxpk7BQCBAC0DQM7R7DyPT5oSUAgOaPXIGmzvrS/GmdulbOhpmevoxCKSiNXXEV\n6pfGXbdPqN4PK29PhZ8TgelMp+3PW9GA+PzItM7VUlgaTHh3P15080LYplPRuapqCkL13vOvuK8H\niooTdkhO1/O+xac0b1LbKneIeCLhBu8656JM3sbWvvTEcgalIDZnOogENay/0d1x2v92Hn/yUB/k\ncSs+LGkN4O/+7CLX/IIl8MyrSde4OkMeWhfRccnyqKuTtqXOe0mHxa1B/NsDFyPoV2HM0Ck9XSLq\nwwevaTrpPCK6cDHsJSIiIiKiOc/KFWFborRx1ESwKh2JcEMAvqD7bc/QnjHkx0zXGqfzVzci7BHY\n7Xn2MMbfzrk2nOp53yLPNU5f/tc+DPenynVMuuK+bjROhJPStgFNK4exw/tSrsvp7BhCVB8rL4nQ\n/tnPQtF1HHl12HO+88wjCJmHy19HL70Uit+PzFD+uA2kSh2MVjIN3ZzoUNU0CNOEFgyWNpAKaOXQ\nU+SzUFUgcf21iDf7ypuETbasNiyOwR/Wj+sUVbFo7Wc8d6Zfcs08tK1udJ22n2iPQA+7w+01f7AM\nkJi27mopwFVmyMZW37nM+8AMFl/ZelrzEwvcSy+ciFfAf6EQQiJrToSwhVJ3bH5ivd1LO91d00Mp\nCw89drgc3k7Ob4j5PMPYZNrGf//eAdd4W4PfM+wNGCqkBPw+tbzhV8ivoq3Rez3e5joDn//QQoQC\nWkU3bTjgnfa2JPz4fz556stG6JqC+AxduUREZ4LPKEREREREBGBiA6lpwWd5AymfO1FLHc3CzFgQ\ntqz4vsalcQTj7tDk4MuDSA/mS5c90bUqHIml181HfJ57jdMdP+rHyFvjFZtHCUfg0o90lsPS6bb9\nYC+G97rDz8s/fhGal7tPEd//wtsY8pgfbwt7hr3JA2nP+ZkDR2FkZXm92djll0PR9VK3rTW1AKcC\nAUDg6De/hdHcgVInbbGIzr//e2jBICLNQThFp9yBmtv5OmAXkX3h97CLI+XLcQoF6JEI2lY3on5R\ntHya/+iTTwDCRqQ5CH+wE1owWFrWQJRq6HnfItiWU+5CNQ++BTVgIJj4Y/iiYajBIBSfr9x5evn6\n0zttv/Pd7ac1v6UrcVrzAzNsdEXnhpQSZlEiYLgf+9mCg1+/Mlpa0mBaiBswVHzujgWu+QNJC3/4\nP3e5xlsSBjb+3+6NuoQAtvaNu8Z9M3S9xsI6rl9VV15jdrKbNuHREQ8ArQkDT35tNbRTDODDAQ3v\nuaT+lOYSEc0GDHuJyMWxLaSG+mDlkzCCCcSbuqDpJ3+BXczkcWTzTuSHswg2htF2bQ98Ee91ws7G\n9Z1tljCxO92HpJVEwkigM9oFQ/X+hP98SaZzeO7F7RgfyyBWF8H1V61CIupeS6yW5NJ57HpuG7LH\nRhBubkD39b0IRU/+74iqR5gmsrt2wU4moScSCHd3Q/VX97FDNFvIifOEvU7dzqdMFPP2tC7UUkdq\nrDXsedr+wM5RZEcLpXB1WvfqgkubEG12/27o+/UhJA+mK4JS4UhcfOsSzzVLt3znTQztHnONX/6x\nLjR3uoO5vl8dwtAe9/zL1nd5hr0Du5Kel9+2ptEz7C2MW8gOF1zjM24gFfYhGDfKYWlp8ygF+rSw\nSjoOoJY2G2paXodA3A9VL821jh4BihbyW3+DgS1Tm4vN/9SnoIVCWHpdGxZc1lwOS4/83d9CZjMY\n+9Yo0tIqX0e4uxt6XR167liGN97KYDhjo7HOh8Q/PAgnVQqLncnJqgpRKEALBrHi/Ysrfp5jP3gd\nUmjQgteXNgebWAZhcmmD9t7K07g7rvmM5+0yKdoSOu5rd8g2lxVzaRx79WkUUscQiDejec274Qud\nXvftXDYyMoatT/4G5lgWvngYi6+9CkYwXNFNK6XEu3vdoeVYxsaGh/unhbelADcR9WHTl1a45hcs\ngb//8RHXeF1E9wx7Q34N4YkO2skgdjJE/ulLw2iM+7CqI1oeS0R1fOXjS44Lb0t/9xIP6/jiPYtP\n+baStsDw/nEUUhYCcQONS2LQDK5RO+lCfywdj69zaS5i2EunpD+zD4dyB6FAKb9ZUaBgUXgJFoTc\nv9AP5Q7iaP5Ieb6C0ve0BdsxLzjfNf/t/FEcM49BhVK6ZKV0DS2BFjT5m13zh8xjSFqjE1VMXL4C\nNBiNSBjuNyNjVhLjxXGUppWvBTFfDFGf+81Oxk4jZ+em1V76b0gPIqi530wVnAKKwpqovVwRfKoB\nn+p+s+ZIG2LizZ+qTF3+9Nu3WrKpI9i3bRMcuwAhBFRVhaYHsLR3PcLxmTdaGH6tH9sf3Q1HqIAE\noBTQ/+JzWHVXJxpXuzcueKfXd7YdyR/GIwc2wXRMONKBpmjwa37cs2g92oKn16lytrzwWh/6f9kP\nzVFhSAV5JYWfvPYcOm7uwNWrT6/bZq7Y9+peHPzWt6HbFlQpkFNUvPTzn2Dhp+7H0jWndzomnR+F\nQ4cwsHEjnEKh1IqjqtACAbTedx8CC9y/H4jOJqcoSptIVZxWLxCIGZ6b94weSCOfMstrnE6GpS1d\nCc/1K/f/bgDjRzPlDtTJQHb5De1ILHS/8X3tsX0Y2j3m6oy97KNdaLnI/frk9R/vx7E+j7B0hvmH\nXhnCsT73upENi6OeYW96IIeRfnd3XLHgvYGUqpZeT6nHbQg102uTeFspoJ1+Sr2qKzN2YC68tBlN\ny+JTcye+zyvoBYAVty5Gty3LdUizABQLgJ1GbvdQOYyN9vZC9ftLp/lPc/jv/g7FgSEk/z6P4Ymu\nW2lZWPaNb8BXX48lV1ee3r3nPz8Ee2QEOQC5aeNONgstFHIF5OlYEY5ahBZsLoWxwSC0YBBQFOwf\nyOOhxw4hZwoIIaGqCha33Y4PrZ+H9va68lzFMGa8fZs/9CHPcXJL9v0ee7Z+GwICUCQwouBI/1NY\nfvn9SHRdWu3yTsoREnnTQcESaIy7Hz8FS+DRzccqNgjLmQKqCnzl4x148dcvIPn0EBSpw0AdcgPA\nf+5zh7HRoOYZ9uoa8OahnGtcCOkaA4BIUMOtVzZWbhAW0BAJegemdREdP3xwVfnr6Y+Px387BFVV\nEPIP4nN3LMCS1iAMXcUV3e7u/bNhfCCHHU/0wzad8mZ+ul/Dyts6EGut7YaKUzHXH0tnG1/n0lzF\nsJdOyfax1/DU4M9d47e33eEZ9v5+9OUZ53uFvS+N/M5z/m3z78At897nGv/t0POnNf/ZY8+c1vxf\nDTx1WvN//vZPT2v+j488cZrzH8dTg7+YCrZR6hD6wLzbcGPrza75P3v7STwz+Ovjwmrglnnvx7rm\nd7vmPzXwc2we+g0UAFYhBYRKL3xWF+vRY8fgFAvYt20TVlz7f0HTDDwz+Gv8buSFUiWKAgiJzFAG\nS9o7sPTIwvLl2kLB9kd3Q23Yj23ZV6aF2aV6rkxcicAbmyEcG7oxtdbdLgzjZ2/+D8TqO6AqWvl7\n1tZfgTWJS1z1vzy6BTtS26dH5oACXJK4FBfHV7nmvza2DTtTO6EopUqEFNg+9ir8qh910z4sKDgF\nPHJgE25quQX7s/vLH0KUqlFxUawby6PunW37xt/E/mz/xM879R3LosuxJOwOvvsz+3Awd6Diw5Fc\nwcJbLwwjIhOwfeX+H6iOiu0vvAKz8W2EAv7ShxcT1zHThylH80cxZA6i4qMOBWgJtM74YcqoOVpR\nuwIFDf4GJAz3G4SklcR4MeW6f+O+uOeHKeliGnknV65jsirkVRz81rehChtFY+rFtlDy2L3pnxFd\n8hcIhQPleowTfJjiSDHtAxSUv0edaWE/OiPCNDGwcSOEbUOPTgVfTj6PgY0bsfALX6jYXIdmNykm\nN4QS0HQVqsfpspmhPKxssaJLVDoSdQsinp2cR3cMl0/bnx6WLlrbivh8d8D35i8PltY4tSvD0pUf\n7PA8DX/b9/dg8E13+HnpPZ1o7XE/X/U/f9RzfqjO7xn2jvSnMLjLPX/BZS2uMQAo5m2YmaJrXDje\nnaihRADR5iAUfVonqqZ6ri8LAK3dCUQaA+XT9ic7VyMeQS8ALL+hHYuvbK1YE1XVFAQ8wiSgdLsp\n6ql/6Nz1npO/0ZWOAygKFFV13Sep3/0OdjKJ9J48xibCWJHPo2X9evgSCYSO2xhr718+gOLQkOs6\nOv7qr+Bvda+3ah48CGtgoHJQUSAK7m5hAKh717sgTLMcxJYD3Ih7PV4A6NiwwXO8YAk89N29KDqy\nYh3OI3ob/s/LCv7bmhb4PJbFoDNTzKWxZ+u3ISGhw1dqOgDgwMaerd9G78Iu+ILe9+HZ4giJfUfz\nrg3CirbEnde6X2vlTQefe2g3cpaDXEHALJaeI4J+Ff/+FfdrVyklNv1qwDVu6ApGRsaQfHoIkCqk\nUuowNwDEpA0fBBrboohF/Aj51RnD2JBfw1//0fJyaBvyqwga2ozLHPh9Kj57+5k1QxQsgYceO+R6\nfORMBw89dgj/7VPL4D9Hjw/HcrDjiX4IR8KYti60bZbGr7y/x3PJmgvFbHgszSZ8nUtzGcNeOiVL\nIktwrbh+YsdSWf7fTB2P7aF2XF5/BSQkSv8XkABaAu4F8gGgNdiKlfFVkACkFBO/VyQa/d67jDb6\nG7E80jlRRel7AKDOcL8RBIC4EceC4ILS3MnvkhJRn/fpKGE9XLpuKSuuI6h5n0ru1wxE9Ej5VE0x\ncU0+1fshpioKdEUvXbacvIaZd+d1pANHOpWDEhBwPOebjomsk3WNW8L0nJ+1sxixhieKm3Y5Suny\nNV8AtpVBaqgP9a0rkSqO4XD+UOWFJID2YL5iSFclio6GQ/v7sDe0x3W9C5HAIrtQEfQCQMoncVDP\nAeOvV4wvDi/2rP9w7hBeHt3iGm8NtHqGvfsz/Xh++DnXeINRuYtxQAsga2exZfQlvDr2imu+XzM8\nw95d42/gqcFfuMZvb7vDM+zdPvaq5/xFiYsRylV2NQhNYLTpCH448Izn5f//7L15eBvnfe/7nQXA\nYF8IgARBEtzERaT2xVqszbJsy5a1OUt94mZx0iVJk9Pktum9p32O6+e0fc6597Q3XZKmOU7qpknT\nexLXS+zE8S4v8qp9oSiJEklx30EQO2bm/jHAAMP3hUwpki1b7yePw0cvv5gZDIGZd76/3/v70cze\ndybfLHs8d1TRgimvXZH+wNhLV6R/cfQ5qn7V7EosymUMRi8AnFqRxdklM3j6/J8uaPu/GHzyio7n\nqcHH8fzIr0uy8rXv4a7qPdRgyi+HnsYrYy8CADiOL4RfcFeZYMpzI8/i9fEDmJ/5v73yDtwa2Ezo\nXx59EW9OvqHruLxBvSW4DesqNhD618YP4N2pd4q2fN5w3+i/Fat9awn9mxMHcXTmUEGd3weHtb51\n5YMpM8fzKyOK/1vhXYX6XkWrHVkyAT4biOOiPwE1k4X95Pdg8vvBgcMSzzK0u8glwyejJ3Au1k0E\nC9pdHZcJpvQUj5/T9M2OFjQ4ygdTAIAHr7+PensDam11hL4/3oeh1GDp2QHHATXW2rLBlLHUqB4c\nKbymUqpCUCIf8IemhjE5NwWtdCcHyCpUGaiqCiLoIe95F7sHMDM+C1VWoSoAZECRgdrOAKrC5Pa7\nXr2Iqb6YrlfzZmzz9jDCi0j9of/djbGuGahKfvt5ln66AbWdpKHZ9XwfxrrITNTln25GmGL2Dp+c\nwsjpKWI80Oyhmr3xqRSig+T9S07T73eipdBAii/JLuXKPqx7I07wYtEkLWSXWr305Zj1t1Shss1r\nyHLlBQ6uMpmoS/Y0onOXWqLNv66MgdpxTz11vBy1q8i/4eWgnePLMf845WQSSiKh16It/Gfv7IRg\nJ7c99IMfID04qOvkZBJqOo3Gv/xLWMLkap3Jp59GemCAGPfv2QOTl8xsNvl8UBVFM2IlSTdjeZE+\n36r+nd8BOE7XClYrOIul7HwrsG8fdfxKOX4hhkRaIRou2SwCovEcjvXMYW0bGQxlXB1jR1+CAkUz\np0oQICKHLMaPvITqDbv18WxO0csVpNIKGkLk/D4nq3jkl4N6Y7BCNm1WVvEPXyNXV8mKiv/8nbPE\nOM8D+24NEJ85s4nH4GRxXs5xgNWsNfwqZIKXIpl53L+tkmgQZrUIeOcXL4FTRd3oBQCBAz7HXQKn\nmgHXCHZ+djcuB89zWBy5suvF1fJhfj8mLs4il5YNRi+g3Usy8SwmL0apJWtuFq70u/RxJ97VRcxz\nAUCwWpGLxZDo6oJj2bIP6egYjMvDzF7GgljmWYFlnhUL1q/2raWaDOVYV7GBamKU49bAZqpJUo5t\nwe3YFty+YP2Oqjuxo+rOBet3hnZhZ2jXgvW7w/uwO7zwB4p7w3txT7V2Yy01iEWO/hXeGdqF7ZV3\n5NV5s13VzEsat1fdiY2BTRjrfwejfW/CZHFAhQqrWty+oijIJLXspq3B7VjpW5038lVc/OVhjPal\n4cpQHpZVoHW4Hut3bteOp8T8x2gvEkov8ZKWnAv+lApf9VJ4Khfr77faSi/rsMq3BtVrKOZwAAAg\nAElEQVTWsG6aayUyVNTZIlT9Us9y+MwVuvHfM3cO52bPwkYp0SGrMnxmH/aE9+nb1cx/FU2ORdTt\nL3K2guP4vPlfDI5EbA1UfYOjEZuVrfm/rXZ+zl4YhGOWHrxwznrhj0XQEKnSPw+AeplgSghL3MtK\njl07/+WDKQEscmgmm370qgqPiT75dZs9mmmmFj5v2v8cYrlgigMBS9AQ2FGgArNZcCqZ/SbmOFiS\nHGAyQbSY9ACMyNGbbvAcr383Sr8vBRN3PoqqaEvV5q1ULBdMyShXFkxJ5OKYzEyS45RtAEA0O4PB\nJGl+zGbJpdgAMJEeR88cGUyhGasAMJIawsnoCWK8nhKIAPLBlGlKMMUaQs20RVvSVsKQO4VjNfmu\n7upJIJ+E5zF7qcd0PnYWL4w+R4xLgpUeTImewgsjz4FTePCKAF7lwSs87oiAavYe7zmJYwPH83rt\nNZzCI9GZRm0rafYeees0BvqG9e1yigBe4TG5bhahFaTZ+94vTiN1Qda2rwr51/AYvH0Md228ndAf\nerIL/AXyWjN0xzDu2kTqTx48S9VP2kZwV5i8r53ruQiBoj8xcgLhRaR+MDEIIVfUy7wMlVdwauYk\nakGavcNSP6K+JJS8TuEVKLwMIRtDGDvI7VefxwWlFwqvQBVUqLwClVNgNscQouhHlpzHoeB7UHkV\nEFQovALwCmy+2xACGUwZu/UcXm99tbiGJR9QET13IAByntC36DTe9L0BrsSaB8dhq/k2rAM5D+ly\nHcW7ubdRsgYBHDhszG7CapDznMPJd3Bk+hCxsuaWivXUYMq7U2/jxMzxkmCH9opVvtXUYOXR6cM4\nPXvKsBIE0O5rhe9XoRkXx/M4GT2Os7Gz+ooU5+khmKaTCKpeeBWbbuIGP/UpmINBnJntMgRTQn/3\nHMzDpLlf/9BDsDY0oGfufHFlCjh4e7tgujRhFJdk0vbFezGUHNKDI5alYXBNFXA5/HC7iqUQTBUV\nAICh5CDGUtrKFI7jwH15JzhwqJRC1GDKWGoUU5lJ7d1yHBDUzpDf4qGW+ZrOTCFaWJmiRYLAgYPb\n5IGLujJlFnE5TgSD7IIDNrH4PZqIZqEoKlQ+DZUvZHprr1H4HEajcQDk9nNKDrIq66teCq/iOZ6t\nTJmHqqo4fE4zDfu6FUzMdiIrS8goJtxR+R50b5VTkZwdhaKo+E9/dQrxlIycbLzhP/OXywhzVeCB\nX7w5AVoVg2xOIRqFmUUerbU2WEy8lh1ryZuykgBFAYR5CbUCz+H732jTs2gtJp44hlI4jsNn76DP\n8y7+Ig4z6HNGgEdmmj5/+LAofD9oKIqKiWiG+rtrQSqa0ZNz5qMqKlLXcd8fBVLRMa10A+0U5b9L\nNxO56WlinqujKMhOkyt/GIwbBWb2MhgfAQROgMAtvGmARbDAIiy8aLxDdMAhOiA4IsjgEESVXI7C\n8zzMVu1ByWP2GLKoVccksjOTMAkUc4wDQq4qRJxkFsRUXEYf/y4x7lMtcMk2RNxL4fMsed/jr7XV\nUTP0ytHoaEKjo0n/t9/ix0hyhGqGC5yAVlc7Ot3vfxwFOtyd6HB3LlhPC6Y80f0WklNRQwkH/XjH\nalBb04G9DesWtP2PSjDlUN9BJLh+Yrz9uBNL3xNgu3c/Vt2z/n23f6XBlN3hfdhVvUcPFhSCI+W+\ncztDu3B71R36SodCJr+FpwdTdlTdhVsDm0vMfE1vF+nL4LYGt2OVby1QYrQD5VcubApsQad7SfHo\n8+Y/rUQHAKyv2Ihmx6KSVQsqVFWhZq0CwBJxJYL2MFRZexDSltUDET4M0TutpS2VUH8pAu+gDUpO\nhqUqDMHmhKoAEU+ZYERXE+7p+W1AAVSZ0zJeZaDyNh9ArsqG59UIdp75AjHu32UDKCvKXSdCWN1N\nmpbeMP3v5Rj2of4iaQq5U/Tggi1jhxAnH9CdHH37ksOCuD0Flc8bn7wKVVBQZaNnMUkRASP8oGaW\ncpqxqgoqWgL1VL1lhYIzoffyJqwChZOh8jJuidxC1QvbEnhjybP69gvBmrur76XqcUsch+pfKPm+\naJ/RSIj+nZObEjjnOEqML3O1U/UZdwKjKTLYkeXpD+DxXDxv7hlJyGTtSUALpgwlyTqWlw+mnCfG\n211kwyIAGEkN49S8VSkA0FByzyllIHEJh6aL90FTRoUlDdTO2pGw2/QMWVtbG0SXCxfjF/DGxGu6\nftOBHCpHVWTVt3AuK2j6VAqRP/sz2JqbcS52Fi+WBFPuezmLwLD21yvNt/bt2AFzMIiu2VOG4Msu\nSxYVDkCyueByBYvZtPnGNMdnjhr0wfUKuHUibq3ZgU21O3Qtl79OHJ5+zxjcyZ+WPeH9uINyX3h7\n8k1qMEjT30WMvzHx2hXpXxl76Yr0L4w+tyC9320Cz3PIhN5EttIYLDMBGDPdDWAvsZ1fDD1xRcfz\nxMB/4IVCma8S8//e8F7cXkmuTHlm6Cm8PPYSsRJkZ+ge6sqUXw//Cq9NHCCCIzsq76TOE14afR5v\nTryhB104cFBVYK17C9osa/Vs2qUNDvA8h1fHX8G7k2/rxz4wnoasAML4UuRG2vSSCI9+azFMIo+D\nE6/jyPRhfdXLO2dnoapAbK4ViZHiPGdb8AjMnIweVw59DgV2xyBsfT+AdckMzDKQHGwGN92kZ8lm\ncgoks4Aj04fQNXsagGa2b9qbhMDziIgdaLS268askDdltWBKNwrBoK27NfN/sasDi5xk8PHM7Glc\nmLtgLJMV59DCt6LBQurPz53DpXg/sbKmwdFomPdaPHaoowpmvDOIueYANb99FeBUEW4fPfg+mBzQ\nVqbMW1lTJVVTgymj+WDK/DJZAUuAWuZrKjNpCKYUAip2l0A1thUxDt4+B5PThNGUrIfXHKIxmFIg\nKSeRltPGkmDgYBHM1AbLWSUL3qVCFnLI6SuzAE7lwYMHx5cvcXOzILmDwGSZoIPKweqilzD6uCJ6\nvcQ8V4fnqStQGIwbBWb23gTIuTQUuaR+XD7UzQsmCAJ5Q5PlDFQ5R+p5EbxAPuwqchaKIs+Xg+NF\n8JQyBoqS07NONKH2g+cEcDxprqiKrJdpKN0Bx/H68maDXlWA0ohtybIput4YuvywG6R9mLgDrRBE\nCXI2BcFUNCrkbAqCKMEdoDcFC29ajAtvHkBO4SDyxfOZUzgIvILqTfQMw6vd37WmxdkKi2BBSk4Z\nDN+UnIJFsKCFYlRfb7asX4pnjh0AL/NQhOLnn5d5yIKCrRvIjK+POu1bVuDtZ5+BkEtBFot/ByGX\nQk40Y/HWha8uuBKuNGPKIlhgwcKDKZJqhUk2G+qVKjkVFpeZehdWRwXwU1atxqes6jVL+WYzKImW\nSJxQEO8TDM2pFBnw32rSjZRSJl9KY/Rkbl4NVRWB+0RgOamffS2H6eOFf3EoXLTF+2ywt1dBkCTI\nyaTWlAiAEK2FIFdCAKDMaN4tANib6I1WpKgD6iBZP7NCpWeeeyweJPgJQ3MnjudQ7aBn/kciNZhU\nZw31UDmBQ1013QxfsrYF8aaUQcsLPDy1dHN+470rId+pgBdL9eXLCOz45EbqeDl23LblivR3Lr8d\nd4LMEC7HPZFduCdy/Vam7Anvx+7wXj3QUQh2lAum3FN9L3ZU3QWUBEdUqLBQHtwB4I6qndgU2IrS\n4IgKLYhJ47bK2/NlppDfh/a68sGUrfkM25LgCFQESlZGlGbSasGUFv14cKoH3NgMHBcmMJr7qZ5J\n69+9G1JtLVb7bkGNrVYPHlm/+yTEnmEAv0IffqXvo+5b34K4eDGWe1bCbwmgUCbLlXgWltERALMo\nbblWyKTtcC/Rykzl369lZTdmZ+LwukKocFfrdWnNIS0Y0+psL5aZApD+koohqFjs7kQ95V7Y6GjG\nFiVbXFnj1/6+VZ5OmNyk+VNni+AW3/qSNS/a+wiVWZlSbQ1jmWe5/nct/H+5lSkBSxAtzjaU/m1V\ngJrVCwBes09fBVS6EsRZZmWKQ3QiaKksHkl+hcr8Ml9LG52wWUaRSYvgsnZA/wsoAAfUVdM/nwIn\nwJRftVK6soYH/XqiQDGcxwIqZZUMAKSVTL5mvhGtyTBJXI7nGyIbeef8OC4eHdZLHHx5dw0sJh4z\n2SiGUkOE/pF3ehA9Wwxo/fyhJbBLAibSE7gQ7ykK86dxpCeM6EDxOJNpLZN2JDWC0yXBFFv+Y1Nj\nroeYOgkzn4VVyOkm3qQko8+tAhgCpoZgy1efe2B9J+4IkUH83vhFQzAF+cvU8qpqrK4iA3JaMOV5\nYtwm2LCI8n05PXvaEHwpsDe8n74yZeZYWX2p2btm12a8ffYAhsNjuNDSQ+jv9N5NjAFaz5Ry299R\nJphyJfpXxl6m6u+p2gebpQmJtAybpXgvSPjfhlD9Hp5IAk+cev/t/2r4mSs6nl8MPYkX488B83Il\nVgzditaBFRAtAioainOVJwYe04MvpQGVcsGUp4eeypf5KrGeOQ47Q7uowZRnh3+plfniStuHF5ME\n5vNiPphSWuKLA4etwe1Y7yeTOl4dewXvTr2tH0fhuG4NbKauwD048ToO+XoQy8qAKuvvoTkqojam\nXYcCK4rv453Jt3EieoxYGbHKuwZLPORzyuHpQ+gqrEwpWRmxzLOCuvLrxIwWTJlfJqvD3UH9fnXN\nnsaFuZ6Sv5V2hlqdbdTv1/nYOUPPlML5bHQ06d8ve3u7Ps8dq+Qw7shoQaxMBlxQwHhVDHXJIVRT\nEiYGEwMYTY9CP/P54EjossGUCRgbt2srLn3mCkI/mZ7EbDaqNVUtWQniMXupK1Nms7OI5+aI4I4W\nTCFLuCTlBNJyGvPL0FkES9lgSqHsZGkDep7jryhpjXHtYGbvTcClrqcxeI68EUY696OmhcyiuHT6\nF1ek7z/91JXpTz15Rfq+U09cmf7k41eo/48r0veefAyDZ8mJXaRzXxn9f2DoXKleu5lEOvYi3EJO\nFPpOPo7B8y+UqDV9XccehBeRS177Tj2BofMvEuN1i/cgvIh84O879SSGe16i6O9FdfPtaFrxAHqO\n/Bi5zBwURUEuM4dcNgFBMOPdX/5JUd9+L6qbtRu+yWHF0vtacPyxs0CwG2JAm2iKAESzgMMvP4/a\n9ntQ3WSc6AiiGXZ3LUZ7X9cfFAvvuXrRDmow4tKZZzB8gay3W9t6N0JNWyn6X2Lk4qvEeE3rToQa\nNRPFzFtwf+QB/LTvx6gYHUFoJo7CcmC7aMfx3j9HuOVOXV/KQPezGO19jRgPt9yJqgZyojZw9tcY\n7X2d1C+6A1UNm/R/e502NN7RiIm3fw2Xs5jtqnIqzHYz0hNOwHErsZ3Bc89jrO8gMV7dfDsq60mT\nSdO/WRzIT3aqm26j6ofOv4Cxvrco29+OYITMuh06/xLG+ovbL3yeQ03bCL3NaUXFJ5cheuEABMzm\nH1w5qByHiuY7YLVLWgOpvKHJCzzG+g9g/FJp1hQHJafA5VsHl3uFZmjmtNd4wnZEp9/CxIAxmzyT\nyEFUl8HMdxiaTtWuDCAtH8HEwHsGfXImjcxEK5TEIkODqva7IuAdp+bpOcTGEoj1NiA7Y5xoLtvf\nBNFzBpODh4z60QRme+uRnTGW/TDta0QieRgTg4dL1BxmR+N5fb3xb7KkAqO9b2By6IhhPJZOQBHq\nkJ0z6lVFxWjfQUwNGbMws5YEnJEm8LnmfB1SzWS1OEyYGDmM+EY7Uv19UOUpACpETMI3UwdXw20w\ne926WequtmOs/y1MDR8zbF8IyFi8bzncvk5DjVPJbcZY/9uYHjlu0Eu1wC0b1qKimqyRNn7pHUyN\nzCtRIQHNt6+BL0Q+eIxfehfTo2QWpr9+NXwUI2Bi4D1Mj5D6ippV8AVo+kOYHj1FjPvDK+GtIrP/\nJwYPY2b0NLn98Ap4K8lM0snBI5gZ6yL11cvhqSQfnCaHjiJK0fuql8MTJDNtJ4eOIjreTepDS6n6\nqeFj8/Ta990bWgoPJXg3NXwC0YnuEnVeX9VJDfZNjZzA7ERpyZKCvgNuP1nyY3rkJGYnyaxcT2UH\n3H6tDI+STkNOJKDMxDE69i5i0T6o2SxEn08PYFQGF8PlbwYAjP3sZ0h0dyOaTGLEMoeMNQ01l4Vr\n/QaYK7VoTCTYDleFFmnpf+tFxE+cQApAzM8h59UeyFLnJVjieYM10KrrBysOIzGVAm+1IlvBIedW\nwYkixmaPwtTdDxOA5YEWOH3a9ST12w1QMhkINhvmUkNIJEfAmUyY4QYxc3YQNgDr/K1w+vLXk08W\n65ZHx89ibqYPQAax0beBUcANYGvFcjh99cR5i06cQ3ymzzAWANBYsR5OL6mfnTyPuRnjao0QgFbf\ndji85Gqc2ckexGeM/QDqAHRU7ILDQ+pjUxcQnzFmgTcDWB78JBweMs0/NnUR8agxq7sNZqyp/hzs\nbrIHRWyqF4lZo34pHNhQ+/uwu8ng0tx0HxKzRaPzixszeP6QG8ND92E6XQGe52Cz8Pjavlo0VFkx\nN92PRGzYsI11qMbtzX8Km4s0DuZmLiEZMzbouhW1uKP5v8LqqoKqAnOpHBLpHFJpDifOnEMyNoJ0\nVsWisBWiwGODWoMtTf8XLI4AABV/93g/pmJZPPGmiF/Jr8KKKaSzCr6+vw52C491Shjr678Jk8MP\nQMXXv9ONWDKH3rQEn9AFnxQFAIz0j8NhFbBGDWFl3Vch2n1QAfzpD84hkZZhVl1YXBWD3xaDxcRj\nalhFWhKwUqnC4prfgWBzA1Bx7EIMHAcENgZQsVGGqEzDYuKRiZ7GdIzHMiWI5vBvg5M0fWFlTaij\nGkroJHpPPqbNJzkVWZXDoiiHxYENsEfa9TJZgLYiLDk3inTCaGS3yz74g3sByW4w/xsdTUjOjSGd\nLC7Z5gC0yB44/TuhWqyGYFCzowWp+LhBD3Boyrlg9t4G1SKVmPlAvb0BqfgEMqkZg75edmCbeyMU\ns9mgr7HVIpWYRDalnX8zB3g2A5X9AtBbjQwnaFpOgblKQoOvEenEFDKp2dLNozpnwSp7J3Im0RAc\n8VsCSCemkU3HDPpgVkSHtRlZUdQDCipUeM0+pJMzyBn0HHxZDk3mWmTzJS8KwRGf5MZX7nHjx8/2\nIJVR9BrFvqwKE+eHahaKf19VhVWwIZOaRS5jLH9lT2dRwTmRETiUBvxMvBnZdAy5jDGwYU6lYFdN\nyPBa08zC+1UyCngxhZYdlcikJ4F8VS4uFYeoqMjyMARUVFVBNhOHnDX2Ksklo8hlk8jOi81klQxy\nmQTknDGwnUpMIZaeRm6ePiknkMsmIeeM5cFi8VGMJ4YI/VxuFrlsCopsDNpMxQfRF+uBPE/f4e4k\nk8EAjMb6cS52BrIei9LecCCRQy0ENK78T+AETv87DMYu4OjUe1Dm5UmFrWF0yO1QlJxhvG/2HN4a\nf53QV5gr0OpogaoYVzOei3bh5fEXoc7T20UbmuzNUEv62XDg0DVzAi+NkXohvB/1tojhWRPgcHz6\nCF4ae4HQ7w3fh5p8XyLObELl5z6HkX95FKe9Ezi0KKUnqgEABn6EveH7qGbv21PXN5hyYJweTCmn\nf2H0uSvS/2r4l1ceTLkC/eMDP8cLo8+VGPlaUGJ3eF+ZYMqThgb0hdfcXX0vNZjCYGbvTQEvmCGa\n89GakixWntLFHgA4wQTBZKXo6REZjhfBi/nojiGhtpxeKGYIG/RlMus4HlwhQ1g1GoJ0PQcUtlWm\nJtNvhKr/3wL1KjXDQi2zDVVVoJbcHNWScapekYmbu6an1xtVlRwx2QCgZ2fb3WF0bPoGouPdyCSn\nMT16GlNDR4jXKIpxguBf1ohNzdU4/eIFzOWKxyMrADIgJhQFBNFCHKsKQDTTO4vL2ZQ+uTWMy/R6\nqXI2qdcaNozPez9haw2+3vJNHJv7ITITRXNMzkYhU/QFcpk4UvEJcnzeBFAfT88hNTdG0ZOZNhuW\nteKMfASTvfPMoiyQzdDrvWZTs4aHTX08M3cZPbmkOTEzg7nxpCH70+a1IJOMIh69ROjHzg8iPjSs\naXNa9mplmxeZ5DTi8x72AeDCWz3oPeDVJtv57TdvrobLJyA2aZwccgBGj4+h7/m3DF+9pXsbIZun\nEJu6QGx/oqsC6THjMvolexuhmCep5k9y0I/0mDELzVvnhGKewOwE2XAlFQ8gPWb8m+XSMhSMk+YY\nB5jsVeBzJoNZKph5pObGSLOOAzx1dbA0+A3Zq46AFdGZUcxQzMPwyhZ4Kpr1bFRe4OCstGGkbwTT\n881PAC13dqK6abWhoRXHceg98RphxgJA4+YlqGmhZEGdGMLMTPe80pNZ1K1vQu1iijl5YhCTg2Sz\nQ2+oCb56MgshER0gzHYAeaOINHvjM5cwcYmsL2x311DN3vhMP8b7yeCFzVVNNXvnpvsMwYsCVlcI\nviqavhdjfW+Qemcl1eydm7pIDR5JjgDV7I1NXcDIRTL4ZbFXUM3e2GQPhi+8QoybbT6qeRub7KEG\nB81WD1U/O3GeGnw0SS6q2Ts7cXZeMFRDtDioZu/s+FlqcFY023Szd+7kSWQGByGnUhhLn8CMSF6v\nBJNVN3sH//EfMXdUC3AkFgtINefnGyWeBS9adLM3MzKC5HntGpJaLCDVJAIQkZx6R6+LwAsm3bx1\nrlgBSygE3mrFhHAesZz22uT0O0D+1hTp3K/rw1/5ir7f3hOP6e93ZmgUGCrqC2avFCnWph8+8VbZ\n4LVu9pYwNXKcev41fT2pHz5WXk8xeyeHjpbV08zeyaEj5fUUs3di8PBl9KTZOzF4qKyeZvZODL53\nGT1p9o4PvEvo17gBftE9mDa1we82Y1mTA5Z81v/4wDtlt18we58/NInpWA6JtAx34kUEVfL6E+nc\nD4e7BuCAr377DKZi2j10e81BrA8dAw+gZ8Sor/Bon4fuC8DYDADksL3mJNaHtOv/paNGfaiiDQCw\nqTmNTE6B1SwgjBfgyWjB5YFjRn1NQLs+//NXaiAI2nz94omf6++3/8g8feUaAMCikst6qX7++62p\n2kSMX+RegyyVzidV2ABE7CHU+MgyNuW239C5HzW1ZHC/nL6tcz9qImSyRzn98s79qGlcuH5d537U\n1C1M31ABhNJtmBurgtlrx7pdm+H1eS67/Ts696OmaWHb5wDsLpMMQ9ObAHyqnH7o59jhp/x9HQvf\nvgPA717B8XgBfD2vl7MKJi9GkYpmIC0xYy75As4efsSg9wP4Pzr2o7plB4plsrQVYf0nHye2HwDw\nnxffi2DzbbrxDKgw8xZcOv0Lqv6rbTtR0bQJpT1WHKIdl7qeoep/r/V2uBs2GFZHuE0eXDrzNFX/\nxUVbYK9fq6+K0Mx8P/q7yOMJAvhc80ZYIiuQSycxc+EY0okZhL01sIY4dJ/5F+CMUf+ZxrUQ65aW\n9DVRUWuLoO/0k9Ttf7phJdQabf5QCDA0OBq15KV5+koAn4gsQTZcXC2jqlpD3r5T5PmvBLCnrh2p\nqsbC2QSgot7eiN4y+rtrmjFXVVfcPlTU2GrJZK0OoBWAZ8aHGV8QgtsFNV+KJGQNUT9vlQC2h8KY\nCAYxv8wakTzGcQiqKjZXBTHq9+krRwBtBYp2PC/M0ytYH/BhqMJVssJDhcvkRt/JxxGdOIulW4uJ\nWk7RiUqpiuixYhPojRmtggS3yU2srDHx9FInIifkM36LgTJAW71Nw1AOTI+kkKuuC2SUDFIK+Tye\nnedJMIows/cmoG7xvahbXKb2HoXI4t2ILF54l81Ixx5EOvZcgX4vIh1knbJy1HfuQ33nwpeM1nfu\nR33n/oXrl9yH+iX3EePlLjSRzn2IXMHxRDr3oU5/vyVmdRlzu65jL+oWF5uxFfX0C2Vdxx7UtpNL\ncGklMQCgbvFu1LSRy7lKS24Iglk3LgK166BSLqIcpaSHyS6h8+4vzjN28xf6MjWEa9ruQTUlY1kQ\ny+nvRqiZrA8riPT6mDWtOxFq2kbqTWTnZTNvxvKlvw25/RPE7/SAyTzCLXeicn4Gr6pCEKya+ZfP\nFFVlFaIkINxyByrrjRm58ckkMnEThk9N6lmiiqzAW+dE4+K7UddsfOgYOzeNqW4VU10X9JIAiqyi\nbk0Q1YtuR6DOuD6t960RnPtVBmefOqwbt4qsoOOeelS3345A3S36cQPA2ZcH0PVkCqdzRtNvyZ4G\nhDpug792TV6v/Tj3ygD6X09BzRkzviSXGaGObaioWWXQn391EMNn0lBzxqY/6bmspg8Xmhipuj46\nmdH+yUE3NMEBVY1b4KtebtAPHh3H9DQHR6NLNz55gYPNY4Gjagu8uumn6af7Yki5rTCt8JSYnzx8\ndU4I1s26KVf4NqZmM+CXuyHZKvTtcwIHs1VEJnMr1WST7AFIdj8xnozdCrdumhW/71ZHJVVv8WzU\nTTDVoK+C1UHqg5ENcPnJRoJWZxXMNnIKEIysh7OCrP1gc9GXWAfq1lFNJCslK03T3wIHxRSyUYwT\nAPDXroWdYvLQjBkA8NesgY3yO5rxo+lXUzPoaPsEgIrwKlidZCFh2nvS9CshOcjaG05vhKLWMngl\nO7k83UE5x4CWkWuxkUv7CkYgqV8Gs41czu7y0evJ+kLLYLYWyhsUP2/Oimaq3htaApNEmvauEr2e\nSZtMwqb4EPJvhJrNwuTzgrdr19nSLN2Jp57C3PHjUFIpJM0x2Cyclkl7yzpItTXE9qOvvorZdzTD\nX/ZzsOYzaZ1r1kCqqyX0ossF0eMBL0ngBB7mKS2T1trcpDcJc5V8J/x798J3113grVbMJQcwlxgE\nJ4qGklGl5997WzHbRBw5CRsl2ET7DgFaqSM9eF16/r10vavkvJVeH8p9Pt3+RSVB8RK9h/75dFU0\nE5lXmp7+fXFVNEOlBHrL6n2NUBpIk83hpn9/nb4GVNaTpl+564PT24BghFyxYnfRrz8ObwTBOnLF\nSql+fCaDuaSMeFrGXCIIxbkCORmo9JogCtrfzh9ugC+kXZ//4icXMTieRiIto5e8GLgAACAASURB\nVFYCam3a9XlduwtSfjm7zVm83v70pVEMT2kB9M4KGxa5tc/umlYnbJKmtzqK16QKlwkcp2UQ89Zq\nDGWSEHkOjdVW3WS2llyTvvmJOl0vT88iPaM1DuOLFXsM+i/vLp7b0d5mTA2TgWdryTWsYPQW3peX\nEhSjXfM0fRW8lYX7r1qiJ+91heP0BBdjfkKGRLlGascZhDvQlv9X8TUWG1l+pHCcLsoKAou1jN7m\nN1xrinp6SRHJVgGnfi0uHo9ZopeYsdh8cOjXgqJ+UdN6BOvIng4Wq1f/bpeeT7OFXi/eYvXATvnu\nldObJXfx/lvyDGUy00uWmC0u6v23nN5kcVLvv6Yy83OT2QHJQS6VF02aXjDxCLYU/xaZbif1s2Uy\n2/Ql6CUfZ4gmG/X+azW7YacsiRdNVr33SSlOyYcKC7lfUbTCJJHlr7xSECEbeY2LihaYLGT5maCt\nGiEnOQ+cK00GKyFkr0V1oTlosBgk6Tv9FAQTmYhT52hENaUkRB8vEs9mKlREnM2oDpDX+T7uMHjK\nis5FrnaEq8iVqr3cMT1xrfTzvNjdiXCYfK7s5U6WPEsX9cu8KxCuo+jRBVASy9bWbaMHF0AmhgDA\n2op19GDKwAXDcUBVwQHY6N9E3/5gvzE5StWObmuwzPEM/ZzIrL7RGtDvC38Ce8OaB1O6kqJcab1d\n1XtwV9U9KNrOWnDEQvncMDQ4tZyj9THi4YcfxkMPPfRhHwaDwfgNUPNdezlKQ4fUbAbpuawhS1SR\nFTgCVti8pAk8fn4G0aH4vBqnKkIdPvgi5CT24pvDGOma1ozVfOaqIitYtK0G4aXkBO3EkxfQ/x6Z\nvdu5uwGRNaTxc+KpC+h/l6K/tx6RteTEtpy+Y1c96m/5zfVnnu/H0IlJQ5YoJ3BourUaVYvJh5qB\no+OY7o8ZtLzAI9jqgSdMTtqjQ3EkZ9JEjVObV4LFQQYR5KwW2S7UZmUwGB8sqqpli3CUJiXxri6k\nL13Sa9EqqRSURAKebdtgbyezfwf/6Z8w+yaZnRj60pfguZUsTTP0yCOIvk6Wvgk9+CA8m8lSOTOv\nvYZUfz94SdLr0fJWK2zNzTD56SYR4+ZAUVQkM1qDMI9dhEkkP89PvzWB0ekMEilZbyaWSMv4o0/W\nodJLBqF/92+6cGmcXFn0vT9sRaSSDCp/+dtn0DtqzEwyixy+/dUWNFSR+n9/eRTxlAybxMNmFrSf\nFgHLm52wS6wGIoPBYNxoLKQfkGHF7rxeQ9QeQ4pckv1qTB6jJXgpigyoCrXfEuPmgWX2MhgMyBkZ\nuayiZ5QWMkUtThMsdvImER2cQ2w8SZil/kY33NVklHjg6DgmzkeJhlCRtZVU8/DM8/24dGjM0NBK\nVcqbk+cODKL/nVFivJx+tGsafRS93SdRzd74ZApTF8lO7ZlEjhgDAF4sNT2LhqZAebAEAFeVDcFW\nr2FJPS/wsPvJBz8ACHVWwBm0GbS8wMFFOfcAsGhbDRo3hgwlAXiBB1/meNp21KFtBz3zikbN8gBq\nltMzc2i4q+3Uz0k5yjW6YjAY74+SyeiZtAUzVk4mIdXU6DVmS5n89a8Re+89XS+nUlCSSYQ+9zl4\ntpDZOLNvvYWZA2QpCVtbG9XsFV0uCC4XBJtNN2IFqxWih569VrFzJzybN2taSdJeJ0ngBLrR5dlE\nZnoyPj70jaYQjWeRSBWMWO3n7St98DnJ+crDP7qAc4NJJFIykpniw/U/fK0FTdVkltqz706iZ4gs\nwxSNy6ikJGTWBCwQBA42iwCbRTNirRYekpl+3/rjT0fAAbBJPKxmTUsznQv81jZKV04Gg8Fg3LAs\npNm7wdBdQB4LxwsLkelo5TdZQPBmh5m9DMY1RFVVvYGUKqvgRZ5qVCWmUkhG08Ul9fkap66QHY4A\nafCNdk9jui9mKAmgyCqql1Yg0Ew+IPe8PoSh4xOGkgCKrKLlthrUrSYfHLqe60ff26T5ufjuCBrW\nk8u3B45OoPetEaqeZuJFB+MYPEbWtQ220h/u5ayCTJw0UgvZvfOxuc1whWworYfKCxwkF31Zh7/Z\nDdEiGMxYXuDgjdC7b9ffUoVQhw8cz6N0mb9EebAEgI576tFxTz31dzQia6uoGbzl8De64W8kl3aV\nQ3Ky5S0MxkeJy2XSJs6fR+riRc2ILRi4ySTcGzbAsYysYzz67/+OmZfIuruVn/kMfDvIpYvZiQkk\nz50jxpU0vS66rb0dnCiCt9m0TFpJAm+zwdpALzVQef/9qLz/furvaFjC9CX2jBubnKwimc+KTaQU\nVPnMsFrIB8/HXx9D/1iKMG//+FMRNIbI+dD/+/N+dA+QNe476x1Us3c2IWNytlhKwmrmYZME5Oht\nDXDPLX7EEjnYJKN5G/bTS0v919+ml0wpB+09MRgMBoPBYFxrmNnL+EiSSeSQTWa1DFSlaGhaPRZY\n3eSEfKo/htmhuJ4lWjBZA4vc1EzOS4fGMNI1VWKWattvWB9CeBm5DLTr133ofXMEimw0IxfvjKBh\nA2mW9r41gotvkmZp+84I1eydvBDFxYOk3llpo5q96VgGs8Pkw1AuTX+6MUkizDbRkCXKCxxMEv0S\n4Q7bUb3Un1+GX8xcdYXK1LVd5oc7bDdoeYGDo0zmasttNWjeEgbPF41Vji8fKW3aHEbT5oUbAlXt\nPlS102us0XAErNS/C4PBYMxHyWah5DNpS81YcygESzVZn3D6lVcQPXiwmHmbz6YNfvKTqLiL7F4c\ne+89TD37LDEuRSJUs1d0OiE4nUUzNm/IFurRzsd7221wrV6tZ93yVisESdLq0lJwr1sH9zqyPiTj\n40H3pQQmohmDEZtIKdi5tgLVFeR8689/dAFHz8eQzhrnQ//37zZjSQNZ1ufN01GcuEjWfY1SAr4A\n0BS2wmQyZtLaJAEeB/3z+Se/FQHHQTNtzTz49ykFtHMt/XvBYDAYDAaD8VGCmb2MBREbSyA+kdLM\nT6WYKeoJO6iZnCOnpzB+foYwS2uWB6jL9s+/Ooj+98YMWaiqrKLl9lo0UszS8wcGcfHgMDHedmcd\nmm4lH6ZHTk/h4hukXpQEqtk7N57EWPcMMZ6KZYixAgWjl+OLS/FR5qHCViHBV+8kapzaK+hNxoIt\nXpjtJoNRygsctR4qgLwpHSBKCYhl6ru13l6L1tvpDVBoXOmyfU+NA54a+rHSKGcyMxgMxvXgcpm0\nyd5eJM+fLxqx+Z/OVavgWrOG0E888QQmn3mGGA/s3w/LbrL5aXZyEsmzZGOPspm0ixZBzWYNJRB4\nSYJUX0/VB/btQ2DfwhtmWEIhIERvyMe48VBVFZlcPou2JDs2UinBbSfvpT87MIruSwndtE1ktJ/f\n+nQESxvJ+/S/PDeEI+fniPFljQ6q2SvLKtJZFXzeYLVJPKwWAeVWte7ZGMC25T5YdeNW+xny0Vek\nfG3vwucqABD0sJUtDAaDwWAwbj6Yo8JYEANHxnHhdYq5uqOWavbODMxRG0KVM/xyKRnJafLBVskq\nFDVgsYuw+SyEWUpr7gQAvjonlKxC1Dj11tGX7desCMAXcYITjTVOJTf9oaF1ey1atteC5xfWQKr+\nlipqLdly+Jvc8DctfNm+1WOB1UNfcshgMBgfJ9RcTq9JW5pJawoEINWSxlD04EHMHDhg0MrJJPy7\ndlFN0bljxzDx+OPEuMnvp5q9gsOhZdIWjNj8f6Yg2RUc0GrM2js6DFpeksCb6Pcz56pVcK5a9X6n\nhfER5fiFOQxNpvMNwmQk89m0u9b5qTVm//xHF/HOGbKm/EOfbcC6dnLecKovjre7SH0sSc+k7Yg4\nIJnzWbQlpQ1oRi8A/J/310PgAYuJX1Ddwo0d9HJODAaDwWAwGIyrh5m9jAXhDNpQ2eYlapw6q8gH\nDwCobPNCcpsNJQE4gYeT0pkYABo2hlC7OqjpeK2RVcGUpXHFy/YX+6gZxeVwVtrgrKS/NxrlGl0x\nGAwGg46qKNRM2tSlS0h0d0PJNwYrmLGOJUvg3rCB0E8++yzGf/5zYty3cyekT3+aGM9Fo0h0dxPj\n5TJprQ0N8Nx2m8GMFaxWWChGMqA1FKvYuZP6OxrmYBDmMkYw48YjlZExlyyasIm0gkRKRkuNDQFK\nFulPXx7B0fNzWoMw/TVaTdqNnaTR+dTBcbxxKkqMr2h2Us1eyczDJHLFzNh8eQNrmQZh+28NYvsK\nX0kJBO2nu0wZhM/cvvDANADYy6wgYjAYDAaDwWB8cDCzl7EgalYEULNi4cv2vXXOslmzNCx2Eyx2\nehYT49oh5zKIjncjk5yG2eqFtaIePcmLmM5Mw2v2osXZCjN/bTKC5+/LHWiFIL7/ckolnUa8qwu5\n6WmIXi/s7e3gLSxLmcG4UVBzOSIrVkkmIXq9sFJKCcweOoTp558nMm+927dTG3Ulurow+m//RowL\nNhvV7BXsdggOh7GsgdWqlSOg4Fy9GlJ9PZF5Wy6T1rF0KRxLl77PWbkx+SCvp/F4FoffGsXsZBqu\nCgtWrquE/Qa4r6uqimxOBccBJkpg9tDZWVwYThrN27SM3esD1LIG337sEg4cJ8s8/fGn6nDbCjKo\nPDCWxvELZBmERJka+suaHLBbBb0xWMGQbQ7TA9Df+nQEwgJWFBWgvScGg3FzwebaNw/JVBInTp/B\n7MwcXB4Hlixug1W6Pn1IUskYzh95EYmJUdj8lWhesR2SdeF+wI3E1T7HMhg3EszsZTBuEuLRQfQc\n+THkXAqKokCGjCl5FmcqXZg18xA4ARbBgvsjDyBsrbmm++J5HoIooWnFA7C7y2dkpy5dwsijj0JO\npQBFAXgegiSh6vOfpy7HZjAYC6dcJm16aAiJM2cMRqySTMLa0gLv1q2EfvqVVzD64x8T456tW2H9\n/OeJcTkWQ+LMGWJcSSapx2mpq9MyaSXJYOCaw/Rrh3fbNni3baP+joY5EIA5sPDg5UeVD/J62nVq\nCocf6wEvqwBUzIJD/xvDWHlfE9o7Fr6qhsbMXA4zc1kk0opWlzafSdsesaMuSNa5/+lLI3jtxIzB\nvM3JKr75iVrsWEU23zpwfAbPH5oixle3uKjGqNsuwusUiw3CJM2Y9TrpxvYnNgexY7VvXkMxHhYT\nPfP23vVX9tm8EqOXwWAw2Fz75uF830UceeIsuCwPqMAMl0Lfa69ixd4WNEcarum++s+/h0s/fARC\nRgYUFXM8h0NPP4vaB7+EuubV13Rf15urfY5lMG40mNnLYNwEyLkMeo78GIqcg2h2QIWC0cQAeEVB\n+2gMZ+rDUHkeKTmFn/b9GF9v+SbM/NVFL+fvSx/PptBz5Mfo2PQNCAK5bSWdxsijj0LJ5SA6i1Fg\nOZnEyKOPou5P/gS8mUVUGTcfqiwTRqycTEJ0uWBtbCT0cydPYvKZZ4jMW9f69ah+8EFCnzx/HiM/\n+hG5Y46jmr2C3Q7Bbi9mxBbKGtTQg0SOpUtR961vgbfZDAYuVyaT1t7WBntb2+VPCuOyfJDX03g8\ni8OP9QAKIIsCcgCyKiDKCg4/1oNIgws2W3G6+c6ZKE72xueVNVCwZ4MfGyj1W3/0/DB+9c4kMf7V\nPTVUs3cqlsPFkZRhTBQ4ZHMq9fhXtzjhss3PpBXQUkPPfPry7hp8effCA6INoeuTQcVgMBhXCptr\n3zwkU0kceeIsIAOqVLKSJMPhyBNnEf79EKwWemPwKyWVjOHSDx8BJ6uQbcXPD5fO4dIPH0Hwv7ZB\nkj4aq0qu9jmWwbgRYWYvg3ETEB3vhpxL6TetRC4JRVXACSIEWYYrnkTUaYckSIjn4jgb60ane8k1\n2VcBwSQhl5lDdLwbvipy2/GuLsiplGHyCQCC1YpcLIZEVxccy5Zd1TExGB8GqqpSGxRlxsYQP3kS\nSiqlGbGJBJRUClJ9PXw7dhD62bffxtD3v0+Mu9atQ/j3f58Yl+fmkOjqIsaVVIoYAwBLTQ08W7cS\nZQ3KlUFwr18P9/r11N/RMPl8MPl+s+xOxpXxm1xPx2YyGJ3O5BuEFbNplzTY0VpLNmT9u3+7iPeS\nIrIAcgBUaJ/51WYOi+UcDr05ik3bi5kwh8/F8OTBCWI7a9tc1OMJeEyoC0p6Fm3BkA376UuO79sU\nwF1rfLBaBNjzevNl6upvXurF5qXesr9nMBiMjwtsrn3zcOL0GXBZ3mj0AoBZBZcScPJ0F9asWHFN\n9nX+yIsQMrLB6AUA1SJCSGRw/vCL6Nyw55rs63pztc+xDMaNCDN7GYybgExyGoqi6P/OqVkAWpYT\np6owZbP672RVxkxm+prtqxRFUZBJ0redm57WlpPRX4js9NUfE4NxJaiKomXE5k3YQoYsb7fD1txM\n6BNnz2L88cd1bSGT1rF0KWr+4A8Ifaqvj5pJKyeTVLOXt9nA2+1aVqzNppmxkgSpro56/Pa2Ni2T\nNp9FWzBwuTLZOtbGRmqGMOPGRlZUQ1kDl02Ez6VlS5deT49lAziZCyKpikipApIKkHsmh32ZSdy5\nhixr8NTBcTz22jgx/oW7QlSzdy6eQwLFoIYAFSYO+REVs5PGIMPaNjc8DlNJCQTtZznz9v5tVbh/\n28KbhFX5WN1JBoPBoMHm2jcPszNzhUc9EgWYnY5fs30lJkYBhb4zTlGRnBy9Zvu63lztcyyDcSPC\nzF4G4ybAbPWCL6nVKXIm6I/iHIdsyXJqgRPgMV99ltP8fZXC8zzMVvq2Ra8XKPM68DxMXpZ5xbg8\n5TJps5OTmDtxAkoioRmxqRSURALm6mr477mH0M8dO4aBv/1bYtyxbBls3/gGMa4kk1eUSWuuqoJn\nyxaioZg5GKTqncuXo/U736H+jobo8UD0kMvhGTcmgxNp9I0aG4Ql0zKWNDiwqoXMdv33l0fx7y+P\nIp01Pox8dkcV7r9NM0VLr6d9shuvZebVYYxpGbw0qv0WdNTbiQZhLTX0BmGbWh2onxqBaBIgAjCU\nkM1ycFUYl4muXOTEykUfzYYtDAaD8VGGzbVvHlweB2Y4+jwUPODyksHbq8Xmr8RcmfrxKs/BWlF5\nzfZ1vbna51gG40aEmb0Mxk2A1kFUgpxNQTBJsIlW8BkenJyDwguYtWs1BVNyChbBghZn6zXbVwE5\nm4IgSnAH6Nu2t7dDkCTIySQEa7HGoZxMQpAk2Nrbr/qYGDc2hUxavaxBIZPWYoGtlfy8JHt7Mf6z\nnxlKIMiJBGwtLaj7oz8i9OnhYYw8+igxbmtvp5q9vNWqZ9AK+Sxa3mqFVF9PPX6psRF1f/zHesYt\nb7VCsNnKZtJKtbUIfeELlz8pjBuKbE7RMmjTsl7ewOc0UbNRD56awctHp/WM24J5u2udH5/aSj7w\nHDg2jX99YYS6X5rZy3FAOquA4wCrudggzCYJuqb0errENA4Pl4bE5WDOJmAVVDR84TMIVNAf9O5e\n68fda/0LPTXYtDmEJ94dBWQFKC2XkFOgCBxWrf/oPOQxGAzGxxk21755WLK4DX2vvQpkOMBcknWb\n4aCaFHQuvnZ/6+YV23Ho6WfBpXNQLUV7iUvnIJsFNK/cfs32db252udYBuNGhJm9DMZNgCCa0bTi\nAfQc+TFymTkoigI/78SUOouuSidm5TkIigCLYMH9kQeuujlbuX2VdjEtV9Set1hQ9fnPY+TRR5GL\nxYgOwaxhxI1HuUza3MwMYkePGhuEpVIw+XwI7NtH6BPd3ej/H/+DGLe2tKD+v/wXcr+ZDOKnThHj\nSjJJPU6z3w/P5s1FAzdvyJr8dEPL3taG1u9+l/o7GqLTCbGjY8F6xgdDuc9n/1gKXf1kg7BlTQ5s\nodRu/dmBUfzw2WFi/BObg/jizmpifGgyg9dPRonx6bkc9TjrKiWsa3cVM2nz5u3iCN2M3bMhgHvX\n+yGZePBlMmlKr6e1yQHUEh3X3dTXXQ12uwkr72vC4cd6wGdlaOtGOSgCh5X3NRmaszEYDAbjw4PN\ntW8erJIVK/a24MgTZ8GlBEABwAOqScGKvS3XrDkbAEhWJ2of/BIu/fARCIkMOEWFynOQzQJqH/zS\nR6Y5G3D1z7EMxo0Ip6pquWouHxsefvhhPPTQQx/2YTAYHzqynEF0vBuZ5DTMVi9sFQ04n7iImcw0\nPGYvWpytv5HRe7l9uQOtC7pBKpkMEl1dyE5Pw+T1wtbeziaf1xhVUYq1aEuahHGiCPvixYQ+PTSE\n0Z/8xFACQUmlYKmpQf2f/RmhT/b0oPe//TdiXKqvR8Of/zkxnurrQ99//+96Zqxgs4GXJFhqa1H5\n6U8TejkeR/LiRaKGLW+xgCu3PJHxkSGTUzCXkHUTNpHWTFm/24RFYbKUwJuno3jy4DjRUOyuNRX4\nvV1hQv/EG+P4p6cHifF71/nxlT01xPjTb07ge08P6NmzNgsPq0XA5qUe7NkQIPSXxlLoHU2VZN1q\nepdNgNUiEPrryQd5PU0ktGZss5MpuCokrFpfyYxeBoPBuAFhc+2bh2Q6hZOnuzA7HYfLa0fn4vZr\navSWkkrN4fzhF5GcHIW1ohLNK7d/pIzeUq72OZbBuJFgs3AG4yZCEMxEB9FO9/XpKErb10LgzWbW\nCbgM5TIV5bk5zB46pGfSFrJpRacTwU99itCn+vvRSzFdLbW1aKSYtKosUzNp5USCepyi1wv35s3F\nEgg2GwRJ0mrFUZAiEbT+4z9Sf0dDsNvh6OxcsJ5x/cnmFMgKIJlJs713JIlD52K6GVsohbC00YF7\n15Nm6XPvTuE7Tw0Q4zvXVmDRPtLsnZ7L4ljPHDGeSMvEGADUV0nYscqnm7CFBmENVVaq/u5bKnDP\nugrqd49GbVBCbfD6PEhdKR/k9dRmE7FpO2muMxgMBuPGgs21bx6sFglrVqz4QPYlSQ50btjzgezr\nenO1z7EMxo0EM3sZDAbjOqOqajGTtsSMBcdRTcvs5CSG//mfDSUQlGQSpooKNP7FXxD63OwsRv75\nn4lxc2Ul1ewtZM4SDcIq6bU1zYEAar/5Tc20LTFweQu9673J50P1gw++32lh3CAk0jLGZ7K6CZvM\naLVmAx4zVjSTjbTe6oriX58f0TNuE2kZ2ZyKHat8+OYn6gj92YEEHvnlEDFuMfG4dz15PE67AK9D\nLGkOppU3qK+kG6hrWlz4qy82EeatZKJneS9vcmJ508IbhJUrlcBgMBgMBoPBYDAYNyLM7GUwGIwy\nlM2kTSYRe/fdohmb/4+zWFD1mc8Q+uz4OHq+9S1i3OT3o/l//k/ajhE/eZLcbzxOPU7B5YJ70ybd\ntC38J7rI5k4AYA4G0fq971F/R4OXJDiWLl2wnnH9UFUV6ayKRFoGB8DrNBGaiyNJHDhGNgjrqLfj\ngdtDhP6t01H8P/+7nxjfstRDNXvTWQUXho31kQVeOzYaDSEr9t8aIMzb6gp6sGDLUi+1dm45Ah4z\nAh62tI7BYDAYDAaDwWAwAGb2MhiMjyGqqkJNpw1GrJxMAopCNS1zsRiGvv/9Yg3bRAJKMgneasWi\nv/kbQq+kUhj+4Q+JccHlopq9vCSBs1gMZqxgtUL0eKjHL7jdWiZtaeZtPhOXhuhwoPqLX3y/08K4\nQYglc+gbTSGRUpDMyEiktOzYoMeMTUvIz8R73bP4+ycu6SUQFEUb39jpxp99poHQD06k8f+9MkaM\nWy30TFePw4TagGVegzAebXX0BmErm534+z9oyRu3WjatWeTKljlYFLZRa+0yGAwGg8FgMBgMBuPa\nw8xeBoNxw1Auk1bJZDD79ttEJi0AhL7wBUIvx2I49/WvE+OC3Y6W73yHGOd4HvETJ2gHRD1OwWaD\n+9ZbDSUQeKsVgp1ujokuF9r+6Z+ov6PBm0wsk/YGQFFUraRBvlyBwHMI+8ls1N6RJH7x5oShoVgi\npaCtzoav7a0l9Kd643j4RxeJ8TWtLqrZqwIYm8nq/zaLHKyW8mUK6islfPaOKs2MLcmmrXCRWcAA\nsHKRE9//Znu500DgtIlwssZbDAaDwWAwGAwGg3FDwp7WGAzGb4yqqlAzGYMRq6RSUNJpOClNAZR0\nGgPf+Q5ZwxZA63e/S+5AUTD8gx8Qw5zJRDV7easVnNm8YDOWt1pR+41vEDVseYleI5S3WFD9pS9d\n7pQwbiCi8Ry6+uK6CZvIZ9P63SbsWucn9Md6Ynj4RxeRzCiG8RXNTvzVF5sI/fRcDr98Z5IYd1oF\n6vH4nCYsjth1I7ZQ3iBSRf+8LWmw49FvtcNq1rQmkW7yFqgJSLh/W9VlNQwGg8FgMBgMBoPB+HjC\nzF4G4yamXCatqiiIHjxoMGKVZBJqJoPq3/1dUp/Lofv3fo/cgSCg7ZFHiH1wooj48eOknuOgKgo4\n3mhmcRYL3Bs3kmas1Up9D7zJhLbvf38BZyC/fZ5nXYk/ZHKymm8Ophmx8bQMk8ChtZY06PvHUvjJ\nCyPzMmllNIaseOizjYS+bzSFh/+VzKTtqLdTzV5R4HSj12ouljXwu+mZsXVBCV/dXaOXNCg0CHOV\nyX5tqbHhr39/0WXPRymSWYBkphvHDAaDwWAwGAwGg8FglMLMXgbjI4qSyRBlDZRkEo6VKwnzU1VV\nDHz720QNWyWVQtv/+l+EuQqO0zJpKWUMQg8+CE40Xjp4kwm8zQZOFIv1ZW02LTNWloF5ek4QtJq0\nFgtRl5Y4FgAcx6H6d37nKs8U43pRLlgQjefwzpmooaRBMi3D6zThM9vJjNOuvji++b1zxHhrjQ3f\n/moLMZ5My3j1xAwxXs5c9TlFrG1z6TVmC+UNqnz0BmGttXb8/KElsJp58Dy9Dm0pFS4Tdq0nTWMG\ng8FgMBgMBoPBYDA+aJjZy2B8gBS61VMNsoMHIcfjxSZheVO2+ktfIsxVADj7la9AzeWI8dbvfx+c\n2diZnuM4xM+cgZpOE3ollYJgsxF6z5Yt4ASBMGPLQS2/cBlYTdoPD1lREUvk9MZgBVNW5DmsbnUR\n+qGJNP7hyUuEvsZvwd/9QSuhH49m8Dc/v0SMN1RJVLNXsvDgORjMWKuFObz/YwAAIABJREFUR6SS\n3pCu2m/Bn/xWhDBv7RI9+7UmIOHhz5EZv+UQBQ6iwDJpGQwGg8FgMBgMBoPx0YOZvQzGAlEyGa0O\n7bxsWsfSpVQzduC734UcjUJOJAyva/n7vyfMVQAY+dd/1ZuOlVL5wAMQHQ7IGRkTF2eRimYguc0Q\nnE6ouRx4mw2CJBXLGsgy9fhrvvY1LQO3oM2/jnbsABD6/Oep48lMDGd6XsZcfAwOexAt1RuRnhlC\nJjkNs9ULd6AVgmimvpZx9ciyinROgc1CmpCz8RxeODylNxJLpGXE4mko8WHcVd0Fm78SzSu2Q7I6\nAQCXxlL48t92E9upDVqoZq+sqDhyfo4Yj6fonzWfw4TtK7x6+QPNjBXgc9E/a/WVEp7+y2XUIAgN\np1XE1mXeBWk/bORcBtHxbvb9+AgRm43j6MF3kIpNQXL6sHzDWjhd9HrfNwOpjILjF2KYiGbhd5uw\ntNEJyXz5utEMxgdNIpZE14EjiI9Nwh6sQPuWFbA56QHDUkrnVoLdhEGVw2RcZp/1m5h4PIvDb41i\ndjINV4UFK9dVwm6nl3G6nnxY195rMW+5Uc4h48Yhk0xi4NRRJGcnYXVVoKZjOczW979GXwtSyRjO\nH3kRiYlR4pmIwfg4w6lqmXbzHyMefvhhPPTQQx/2YTA+4pz92tcgx2LE+KJvfxuix0OMn/vDP0Ru\nhlxq3vzXfw1TRQUxPvKTnwCyrJu2hWxa56pVmJuWceKpC8ilZX3pvGgRsGR3I1xVpHF8vbg4dgjd\nh/4FnCyDU1VwKmCWFUhWD0TeAp7nIYgSmlY8ALs7/IEd141OTlYxNJlGspAVm9J+8hyw/f9n797D\n7SoLe9//5mXdcyEEkqiApQFCuCdcNl5AvNVyoN54+pyjRShq99nV2tOeXqxHW4T22bb7OU9pd93H\n0z5YEO2jPYWC1t42gmh1g7eEizEGiJTbhgRCyErWba45xzx/BELiWiFRkqyVN5/PH+oac8yZdy7H\nHGvM7xzzHSsPn7L+U8+2cvVnH9ol3k5MdvOyw3vz179z0pT1/+emibzv/147Zfn87nB+o3VDUq+l\n09vI0e99f4457qw89Wwrv/bJdTsi7GB/PYO9jSxe0JsPvO2oKY8z3qqy5t+3PRdvX5iTtr+3nsZe\nTHNwqBrZ8njWr/5cOu3xVFXl9XEQuG/VD7JxzedTr08mtSrp1lNVPVl08rty6sqpr73SPfTkWP7i\n5kczOlGlqrqp12sZ7KvnQ+84OscuOTBv0mBP1t/9YB659ro0263UulW6tXrazd4c8/4rsvSM43Z7\nv+EnR3ccW7Umq2zaOpnJ1HL34EBGepq29UPQ2jXPZNVN61PvdJN0k9RSNWpZecnSLD956vHa/jJT\n+959cdwyW36HzB4b1z+YB7772XTTSrdbpVarp5beHH/We7Jo6e730fvCIw9+N4/+9bVptDpJ1Z3y\nnghK5sxe2EuNuds/AXx+Ptrnz6bdnZf/x/+Y1GpTLihW75n+k+0lv/RL0y7vtDq570sPpOp007vT\np+Ltie0B+NwrTkqjZ/9/0j/W2pp13/tMUlWpmj1Jt5vBiYmk2834+LM5bMHPpl5rpDM5nvWrP5eT\nz/vNNBoH3xmM3W43k+3ujsC6eMHU5zAy3slNX9/4YxcIq9LfW8sfvGfqdAHPbJ3M/37ND6csXziv\nZ9rYW6/X8uD/3PUs73ot2d2Jr/OHmnnbq4/IYH8jvfV2nvrK36evamWgZzKd3u3z0tYm2nn0r6/N\noj84MUceNid/+7FT9+bXkSTp763nzBOmnvHL7nXaraxf/blUnXaavXNeWH6Qvz5KtnV4JBvXfD6p\nddKpXpiyplZrZeOaz2fb8R/JnLkH7sO1mTbeqvIXNz+ayU4384deOFwcnejkL25+NJ94/3HpOwB/\ne+DFjG4dyyPXXpd61c5k7wuvz0Z7PI9ce11e/ie/n4GhqVNQbT+2+lGqTjfNgWYefXYsVa2e3nRz\n5vh47ps3P9smK9v6IWRkZDKrblqfVEnVs9O3qNpVVt20Pq88dl4Gd3NtgH1ppva9++K4Zbb8Dpk9\nWmNjz4XeTmoZ3PFeppuJPPDdz2bBKz6SnheZJvClGB/bmkf/+trUOt10Bl/Ydnd+T9TfP+dFHgEO\nbva2sJeW/uf//BOtP3TSvjkL7OmHhtOe6OwSepOk2ddIa2Qymx7akkUn7P+vtP/w0a+m1ulsD71J\nmlWVWjfp1utJt5vR8WczZ2BhGj39abe2ZctT63L4kr0PivtSu9PN/Y+NPncG7Qtnx1bd5JLzFk1Z\nf8tIO//Hf7s/o+OdjLWqtDvbv/Awf6iZL3zslCnrT7a7+fxXN0xZPmdg+nleh/obecURfTvOiH1+\naoP5c6bfBR821Myff/CEndZvpK+ntttpDob6G/lPv7D9jNzv/49bsm3y+7sc1CRJt6+ZxmgrD666\nLae8+m3TPg77zpan1qXTHt/lDVOSWfH6YHp3/49vp16f3CX0Jkm325tGfTyrv/ntnPfzF8zM4GbA\nvT/amtGJapfYkGyfW3vLSDv3rN+Wc070IRAza+3XVqfZbu0SepOk0+xPT2s0P7hjdc686FVT7rfz\nsdXW0XY61fb52juppdmpMn9iMtVAr239ELLqrg2pd7q7RsokadZTn+zke3duyHlv3P/fypmpfe++\nOG6ZLb9DZo/H1tydblqp5ceuD5O+dDOax9aszrFnTt1H7wsPrr4tjVbHeyIOWWIvzHLjW1rZ3Wwr\n3aqb8S2tAzKObSMbU9tpHLWqeuF/p5tO9cI4qqpKa2zzHh+z2+1mvFXtmNpgYrLKca+YeubceKvK\ntf/0+I5o+/x/J5n2AmETk1V+6/99YMrygd76tLG3r6eWDZtfGH+zUctgf33Kgfbzhvrrec+blmRg\npxj7fJidfv1Grv2t5dP/EqbRaNRywlE/3RmEo09v2P41pWnUqm7GNk2N1Ox7rbHNqXZ6jexsb18f\nHFjjW59Jszb9/2epVRnfuunADmiGPb1lMtVu9iVV1c3TB+hvD7yYkY2bUu9O/7qtVVVGNjw97W07\nH1tNtrvpPvd18zz3n33t7ccYtvVDx/CmiWyfdmA63QxvGj8g45ipfe++OG6ZLb9DZo+x4U3PTd0w\n9bZut8rY8P47tvKeiEOd2AuzXP/83t2e0Vmr19I//8B8FXzO0KKM7jSObr2eZPuboU63noeeeWVq\nWxZkot3M6MSS9I/MT2Pt43n//zL1E/zxVpVLP/H9jE1Uu/wN7mnW8qU/PH3K+vV68o/fmnowsP2k\n4u6U309/bz0nHj2Ywf7G9iC7U4ydbv2+nno+/dvLd8xf29t88a/H9TTrefcbl7zoOjNl8IjF2bab\neXS79VoGFi4+wCM6NPUOLEi9Pv12VK/X0ztwcFxg7lDSP/fwtDft5rXfrad/7tS51kt2xPye1Hez\nL6nXazniAP3tgRcztGhhRmvTv2679XqGFh8x7W07H1v1NGupZafjmyQTze0f3trWDx3zFvZlOLu7\nDkEt8xbun6+a/7iZ2vfui+OW2fI7ZPYYmLcwtaem365qtXoG5u2/YyvviTjUib0wyx1x7Lw0+xpp\nT3TS7HvhzNHnf1547Py9epxO1d3lAmHPnx073VysVdXNf/nbh3fMRzs20cnI+M9meNul+ZVz/iZp\nNtOu19NbS1JVSa2eL3z/vB97lG6Sp3LFz798ykW8+npqO0JvX099xwXCBvvr6XS6aTR2Xb+3Wc8H\n33pU+vvqGeirZ6i/kYHeRob6pz94aNRrueYDJ+zV7yVJarVaXr6wb6/Xn82OW/HGfO/L/5LaRDvd\nvhd28bWJdjq9jRy38o0zOLpDx/arV/enMzmeRs8Lb246k+NpNPsz/8ipZ6Qzs8549Tn59hdvT63W\nSre709xutVaqqicrXnPODI7uwDvtZ+dmsG9DRic6Gdzpb8/2n+s5fal57ph5y1+3It/6l39Moz2e\nTvOFfW2jPZ52szcnXbBi2vvtfGw11N9Io779OKk33XTqtWzp67GtH2JWnrs4j3zziaRdJTt/6N+u\nUjVqOfNVByYMzdS+d18ct8yW3yGzx1Enn5En1v9LuplILS+819r+c2+OOnn6ffS+4D0Rh7pad3ff\nDy/IVVddlSuvvHKmhwE/sedfnls3jO24YnS36qZWr2XtZC0LTz4iVV/jublpt0fc//MXj5kSV7vd\nbn7hY/ekM823s774h6dNeybrW3//nky2p+4ePvCaz6Q3rdS63dS6SW+nSv/AYfn/fnBemvVu+nu6\nWfzyEzJ/3vwM9tXzC686Ms3G1E9Vt421M9DbmBJ2eel2vvJsreqm68qzM2JfXNWaA+u+VT/IxjWf\nT70+mdSqpFtPVfVk0cnvyqkr98087AeTmboiPPwk1t/9YB659ro0263Uqirdej3tZm+Oef8VWXrG\n7q/0Pvzk6I5jq9ZkJ5u2tjOZWu4eHMhIT9O2fghau+aZrLppfeqdbvLc1B5Vo5aVlyzN8pOnXlB3\nf5mpfe++OG6ZLb9DZo+N6x987iJtreemdKinlt4cf9Z7smjp7vfR+4L3RBzKxF7YT7aMtDM60dnl\nLNrR8SqvPfWwaePnx2/4UbZsa2d0onruDNzt97vp46emv7eRzmSVTQ9tyfiWVvrn9+Y//c2jGWtN\nrbc3XnlqhqaZO/Z//cP70qm6Geh7YY7Zgb5GPnbpz+xy5sDz/u2+Z9PbrG1fv//5qRAa6esdyw8f\nvSMjIxszNLQoy17x2ow/+1haY5vTO7Bg+5kBe7haL/vf+Pi2PLjqtoxt2pCBhYtz3Mo3uuLsDOh0\nWtny1Dqvj4PItq2jWf3Nb2d866b0z12YFa85J3Pm/nRzaJdgYrLKPeu35ektrRwxvzenL52zX64E\nDy/F2Mh4fnDH6oxseDpDi4/ISResyMDQnr8yvvOxVWOoJ49V9WwaadvWD2Gjo+18784NGd40nnkL\n+3PmqxZncPDAfxl2pva9++K4Zbb8Dpk9JsfH89ia1Rkb3pSBeQtz1Mkr0tN/YKb18J6IQ5XYC3vp\nH7/19HMxtvNCkB2v8uF3vXLaWPqLV9+XbWOdKcs//9FTcticqQc8/9sffT9bRtpTlv/NR07O4fN6\npiz/f774WKpud8cFwp6fm/b80w6b9mBwurlqAQAAACiHj9hgL33+9g3ZNDw5ZfnIWGfa2LvosJ4M\n9b9wBu3zFwjbXW/9v979M2k2ai+s/9w8trub5uADbzvqJxq/0AsAAABQNrEX9tJF5y7M5GR3+xm0\nO51NO3dwauhNkv/26yf+RI9/2s/6OgkAAAAAPz2xF/bSu16/ZKaHAAAAAAC75aoDAAAAAAAFEHsB\nAAAAAAog9gIAAAAAFEDsBQAAAAAogAu0AQBQhJGRyay6a0OGN01k3sK+rDx3cYaGevZ4v2dHhvON\n+/41I6MbMzS4KK899S05bGjeARgxs9XIyJbct/qrGdu6KQNzF+bUFa/P0ND8mR4WzArD4+P5yoN3\nZ8PopiweXJg3HXdG5vX3z/Sw4EXZbjmU1LrdbnemB7G/XXXVVbnyyitnehgAAOwna9c8k1U3rU+9\n003STVJL1ahl5SVLs/zkw3d7v2+tuytP/PBzaaaT2nP3bKeRl514af7DsnMP0OiZTdb+8Ft5cvUt\nqaWd1LpJt5Zumlmy4u1ZfuJ/mOnhwYz69qPrc8P6G1LVW+mmSi311KveXLb0spxz9NKZHh5My3bL\nocY0DgAAHNRGRiaz6qb1SZVUPY1UPc1UPY2kSlbdtD6jo+1p7/fsyHCe+OHnUk+VVq0nE7WetGo9\nqafKEz/8XLaMDh/gZ8JMGxnZkidX35J0O6nSm6rblyq9SbeTJ1ffkhHbBIew4fHx3LD+hnRrVZrV\nYHqqOWlWg+nWqtyw/oZsnRif6SHCFLZbDkViLwAAB7VVd23YfkZv88cObZv11DvdfO/ODdPe7xv3\n/Wua6aRd23Vms3atmWY6+bd7//v+GjKz1H2rv5pa2unWdp3+o1vrSS3tfH/17TM0Mph5X3nw7lT1\nVhrd3l2WN7q9qeqt3PrAPTM0Mtg92y2HIrEXAICD2vCmiWyfgGE63Qxvmv6snZHRjant5l61527n\n0DK2ddP2qRum1c3Y8DMHdDwwm2wY3ZRuqmlv66bKxtFNB3hEsGe2Ww5FYi8AAAe1eQv7khfJtvMW\nTn8BlqHBRS+SiLffzqFlYO7CpLv7bWlg3u7nf4bSLR5cmNpuEkIt9SwaXHiARwR7ZrvlUCT2AgBw\nUFt57uJUjVrS/rEzd9pVqkYtZ75q8bT3e+2pb0k7jTS7u87p2+y2004j5532c/tryMxSp654fbpp\nptad3GV5rTuZbpo5ZcUbZmhkMPPedNwZqVe96dRauyzv1FqpV7158/Gnz9DIYPdstxyKxF4AAA5q\nQ0M9WXnJ0qSe1Cc7qU+2U5/sJPVk5SVLMzjYnPZ+hw3Ny8tOvDRV6untTqavO5ne7mSq1POyEy/N\n/MF5B/iZMNOGhuZnyYq3J7VG6mmlnonU00pqjSxZ8fYM2SY4hM3r789lSy9LrVtPuz6ayfq2tOuj\nqXXruWzpZZnbN/23KGAm2W45FNW63e7uvr1WjKuuuipXXnnlTA8DAID9aHS0ne/duSHDm8Yzb2F/\nznzV4t2G3p1tGR3Ov9373zMyujFDg4ty3mk/J/Qe4kZGh/P91bdnbPiZDMw7PKeseIPQC8/ZOjGe\nWx+4JxtHN2XR4MK8+fjTBTNmPdsthxKxFwAAAACgAKZxAAAAAAAogNgLAAAAAFAAsRcAAAAAoABi\nLwAAAABAAcReAAAAAIACiL0AAAAAAAUQewEAAAAACtCc6QEA7K2RkcmsumtDhjdNZN7Cvqw8d3GG\nhnpmelgA8KImR7dm4923Z3zLxvTPX5RFZ7whPYNzZ3pYAAAUSOwFDgpr1zyTVTetT73TTdLNcGp5\n5JtPZOUlS7P85MNnengAMK3N676XB75zXapUSa2bbKrl8R/dmuPPviILlp0508MDAKAwpnEAZr2R\nkcmsuml9UiVVTyNVTzNVTyOpklU3rc/oaHumhwgAU0yObs0D37ku3XTTTE+a3d4005NuunngO9dl\ncmzbTA8RAIDCiL3ArLfqrg3bz+ht/tguq1lPvdPN9+7cMDMDA4AXsfHu21OlSuPHvkzXSDNVqjy1\n+vYZGhkAAKUSe4FZb3jTRJLubm7tZnjT+IEcDgDslfEtG7dP3TCdWjdjwz6sBABg3xJ7gVlv3sK+\nJLXd3FrLvIX9B3I4ALBX+ucvSrq7+fvVrWVg3uIDOyAAAIon9gKz3spzF6dq1JJ2tesN7SpVo5Yz\nX+XNMgCzz6Iz3pB66ulk17nlO2mnnnqOXPGGGRoZA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0FokPGhaZcoHJN/cxcnIEV+rx7joJe8WuMi2Xwcn36baWqS2fI/Tq0sBNCCGEEEII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\nFY2t16htXHnoP06dJXR33icJ23ilFqb0Mt//JGJ7Pwb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H9HY/ZNC+QTi4R+vMG5Rq51b+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ReK7q5NrjfGdD9YXK/GjcMNQ9Ci1mPD3Ow1pRvk+sVepe7a6wxhLp4HURr1Qt21it1G3NCj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\nOPtwYjQ3pnOVV1Xx6D2NZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "bf = pd.read_json('book_1_full.json')\n", "bf = bf.transpose()\n", "bf.reset_index(inplace=True)\n", "bf.rename(columns={'index':'doy'}, inplace=True)\n", "bfc = bf.dropna()\n", "bfc[['doy', 'weight']] = bfc[['doy', 'weight']].apply(pd.to_numeric)\n", "fig,ax = plt.subplots(nrows=2,ncols=1,facecolor='white')\n", "fig.suptitle('Bridget Jones\\'s Weight',fontsize=30)\n", "fig.subplots_adjust(hspace=0.5)\n", "fig.set_size_inches(24, 24)\n", "\n", "def loess( x, h, xp, yp ):\n", " from numpy import *\n", " w = exp(-0.5*((x-xp)/h)**2)/sqrt(2*pi*h**2) \n", " b = np.dot(w,xp)*np.dot(w,yp) - np.sum(w)*np.sum(w*xp*yp)\n", " b /= sum(w*xp)**2 - sum(w)*sum(w*xp**2)\n", " a = ( np.dot(w,yp) - b*np.dot(w,xp) )/np.sum(w)\n", " return a + b*x\n", "\n", "for ii in xrange(0, 2):\n", " ax[ii].spines['right'].set_color('none')\n", " ax[ii].spines['top'].set_color('none')\n", " ax[ii].spines['left'].set_color('grey')\n", " ax[ii].spines['bottom'].set_color('grey')\n", " ax[ii].set_ylim((bfc.weight.min() -5.0 ,bfc.weight.max() + 5.0))\n", " ax[ii].set_yticks([bfc.weight.min(),bfc.weight.max()])\n", " ax[ii].set_yticklabels([str(round(bfc.weight.min())) + ' lbs', str(round(bfc.weight.max())) + ' lbs'])\n", " ax[ii].set_xticks([1,365])\n", " ax[ii].set_xticklabels(['Day 1', 'Day 365'])\n", "\n", "colors = [u'#4878cf', u'#6acc65', u'#d65f5f', u'#b47cc7', u'#c4ad66']\n", "# Let us take 5 samples of 20 each\n", "samples = []\n", "for ii in xrange(0,5):\n", " t = bfc[['doy', 'date','weight']].sample(frac=.25)\n", " t.sort_values('doy', ascending=True, inplace=True)\n", " t['lfit'] = lin_reg(t['doy'], t.doy.values, t.weight.values)\n", " doyl = t.doy.values.tolist()\n", " cfit = []\n", " for doy in doyl:\n", " cfit.append(loess(doy, 25.0, t.doy.values, t.weight.values)) \n", " t['cfit'] = cfit\n", " samples.append(t)\n", " ax[0].scatter(t.doy.values, t.weight.values, color=colors[ii], s=50, marker='o', alpha=0.75)\n", " ax[0].plot(t.doy.values, t.lfit.values, color=colors[ii], linewidth=2.0, linestyle=\"--\", label = \"Trend Line %d\" % (ii))\n", " ax[0].set_title('Trend Lines For 25% of Samples', fontsize=20)\n", " ax[1].scatter(t.doy.values, t.weight.values, color=colors[ii], s=50, marker='o', alpha=0.75)\n", " ax[1].plot(t.doy.values, t.cfit.values, color=colors[ii], linewidth=2.0, linestyle=\"-\", label = \"Trend Line %d\" % (ii), alpha=0.5)\n", " ax[1].set_title('Nonparametric Trend Lines For 25% of Samples', fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Conclusion:\n", "\n", "1. Why are trend lines varying?\n", "2. Is the variance high?\n", "3. Is this sign that the linear estimator is high variance?\n", "4. how do i find out?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }