{ "metadata": { "name": "Labs9_11__15-16" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import scipy.linalg as la" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 9\n", "\n", "Key by Spencer Lyon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def qrDecomp(A):\n", " \"\"\"\n", " Use the modified Grahm-Schmidt algorithm to compute the QR\n", " decomposition of a matrix.\n", "\n", " Parameters\n", " ----------\n", " A : array_like, dtype=float\n", " The matrix you want to decompose\n", "\n", " Returns\n", " -------\n", " R : array_like, dtype=float\n", " The Upper triangular matrix R from the decomposition\n", "\n", " Q : array_like, dtype=float\n", " The orthonormal matrix Q from the decomposition\n", "\n", " \"\"\"\n", " _, n = A.shape\n", " Q = np.zeros_like(A)\n", " R = np.zeros((n, n))\n", "\n", " # NOTE: the -1 below isn't part of the algorithm, but is needed to get\n", " # the same solution as scipy.linalg.qr or MATLAB's qr routine.\n", " for jj in xrange(n):\n", " R[jj, jj] = la.norm(A[:, jj])\n", " Q[:, jj] = A[:, jj] / R[jj, jj]\n", " for kk in xrange(jj, n):\n", " R[jj, kk] = A[:, kk].dot(Q[:, jj])\n", " A[:, kk] -= R[jj, kk] * Q[:, jj]\n", "\n", " return [Q, R]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "A_1 = np.random.randn(3, 3)\n", "sp_Q, sp_R = la.qr(A_1)\n", "Q, R = qrDecomp(A_1)\n", "\n", "print(\"R's the same as scipy? %s\" % np.allclose(R, sp_R))\n", "print(\"Q's the same as scipy? %s\" % np.allclose(Q, sp_Q))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "R's the same as scipy? True\n", "Q's the same as scipy? True\n" ] } ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 10\n", "\n", "Key by Spencer Lyon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fit_circle(x, y, plot=False):\n", " \"\"\"\n", " Given vectors representing x and y data, find the coefficients\n", " in the equation for a circle for the best fit of that data. The\n", " equation for a circle is given below:\n", "\n", " .. math::\n", " (x - c_1)^2 + (y - c_2)^2 = r^2\n", "\n", " This equation can be expanded to a more useful form:\n", "\n", " .. math::\n", " 2c_1x + 2c_2y +c_3 = x^2 + y^2\n", "\n", " where :math:`c_3 = r^2 - c_1^2 - c_2^2`. This can be written as a\n", " linear system :math:`Ax=b`:\n", "\n", " Parameters\n", " ----------\n", " x, y : array_like, dtype=float\n", " The x and y coordinates representing a circle.\n", "\n", " plot : bool, optional(default=False)\n", " A boolean value specifying whether or not to plot the solution\n", "\n", " Returns\n", " -------\n", " c_1, c_2, r : float\n", " The coefficients c1, c2, and the radius in the circle equation\n", "\n", " \"\"\"\n", " A = np.column_stack([2 * x, 2 * y, np.ones_like(x)])\n", " b = x**2 + y**2\n", " c1, c2, c3 = la.lstsq(A, b)[0]\n", " r = np.sqrt(c1**2 + c2**2 + c3)\n", "\n", " if plot:\n", " plt.ion()\n", " plt.figure()\n", " theta = np.linspace(0, np.pi * 2, 200)\n", " plt.plot(r * np.cos(theta) + c1, r * np.sin(theta) + c2, '-',\n", " x, y, 'r*')\n", " plt.axis('equal') # So it looks like a circle\n", " plt.draw()\n", " plt.ioff()\n", "\n", " return c1, c2, r" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 71 }, { "cell_type": "code", "collapsed": false, "input": [ "data = np.genfromtxt('../Data/lab10.txt')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 72 }, { "cell_type": "code", "collapsed": false, "input": [ "fit_circle(data[:, 0], data[:, 1], 1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 73, "text": [ "(89.891325666897671, -34.082185502270583, 44.900607648638555)" ] }, { "output_type": "display_data", "png": 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0eeYZEktLsYwZQ5WmEaarPlinorSCF15/nb8uX47FbK5+js1m5ixcKEtRm6gGHSZydHRk\nxYoVjBgxgqqqKqZOnVprJZG4eWiahk7TqCgu4WE02qFw1OuZ8tpraJomvYGbwNrkZNu/B95zD7f0\n6EH2mjWccnKlPO88P/6o0bWLzlYMT8qENG2yA1n8ZpdOJC5+djFxq44T+ug4hgyBfdu306N3b+kJ\n3KRqHqyz4JmtrI9L5bHHYNDgKx+2IxoXOdxGNJiaJSYCB4QyeDBERMDjj9s7MlEftmyB2bNh927o\n08fe0Yhfc1PtMxA3p5rnEi81mdj3XCTDA3rh5xzMjBmSuJuq0FBYtgxGjVK8OPvnooOyF6FpkmQg\nfpW1xIR1IvF8hpked4zkjsxPpPJlEzdxIoy+fwvn3ljJtoSt7NqyhbMrVjAzJEQSQhMjw0TiF1lb\ngqe++w6XvXv5sbINHuZzlHl1YH12Ni9K5csmq2bRwZdSU5msOZHqqPhDRQVFmsa3Pj6E/7QXQdif\nDBOJerVryxYyYmPJ/fe/+S7wcXIGZND5qae5WFoqyw2buEt7hHqdnpKfzqteqRT9q6p4b/ly2XfQ\nREgyEFdUc1NZbGkpPSsryf58OWWpPlwsLaazxcI8g4FS2WHcZNU8Z3mKtzd6SwkdgDxAA4rOn6fP\nvfdKQ6CJkGQgruhKm8pudW3LwtdjuaVrVzmVrJmwnkD3ZkYGxffcg9nRCRdggs4BR6W4T0pgNxky\nZyCuKnnzZv71yKPkmM200zQKWjgxJTFR6tM0U8mbN7N60iS0th1wy8nB6FhF/z9N4JXERHuHJpA5\nA1HHlFK8HBHByxER/HgylaOeIZQPe58H399Il9BQ6QU0Y8a0NHo99hgVnm3Ib+3KhMoKHI8cYZCH\nBwlr1tg7PHGDpGcgarEeTNNB03AIS+DAsVA+/RScne0dmWgMlFIkb97MgfnziTEamdHSnQLLRR5L\nSCB4/Hh7h9esSc9A1InEuDgGeXvz17AwupvN+JaWcu6tibTI6MTmd2S1iKhmnVQ2XbhAqN4JVZLH\nY2YzB6OipKLpTa5BC9WJxmtSeDhurq5smDULY24upYC5RQv+uiqWYJkjEDVYz1SuslhYO/n/yKgo\npcpsZk50tMwn3cSkZyCA6hbfgb17OZ6XRwtgKeBeVszLc+eStHatvcMTjUh4RATB48fzzZEjeFeU\n8qGzL4XnZInxzU6SgQCqx4J//P57ut5+D+W4owGOLVsy4L77ZB25qMVaq+qLdev4I+Dv7czuinYk\nrEyyd2jiBkgyEED1TmOvY8fIzB1E6xblzDMYcHZwYFhIiLT2RC3WnckBLVsSDDhUljFm6jLOVG5B\n1n7cvCQZNHMJa9Yw0MODA5GRLDWZCDiznm892tH/ySdlQ5m4opo7k6270IcP1zCZNN57DywWCyF3\n343FYrF3qOIayARyM+fh7s6gkhLOUF1ioIObC4++tpQRoaHSIxBXZd2ZXPPQm5UrYcIE+P7T5+h4\n6BCvPP88EUuW2DtU8RvJPoNm6tKKlOFoHNX0dHbSmJOUJKtCxDWbM3kye9/dxD0o3rRUEK7TccTR\nkfseeogVsku53t3oZ6f0DJop61LSFdOmAVCuuTP7H6vp3BkZGhLXJfadd3ihZQdy18aiAQ4WC3cP\nH07sO+/YOzTxG8icQTOlaRpfHzlCF5OJUW18cXEso0sXjeDx4+WMW3FddDodGen/RUcVE6gedsw4\neJCxffrIZrSbgCSDZsg6aZyxbh2rgLYXXfjWvR3bpCsvblALnY7S4aPR40NXoFjOu7hpSDJohqyT\nxkVUt97auZh58fVlrJYjLMUNenPXLiaG/5m2TkV87Wqgv5MTAEuiomQusJGTZNCMWHsEByMjiS0t\nxTkvj9tw4mzFedk9KuqMMS2NIWviSeY4A/8Rz75t28hauVLOy27kJBk0I9YegTE/Hw3Qubjj8/sk\n5iQlyqSxqDPhERGE/jmEbm1GsvyFv6I/epSlJhMHIiOlmF0jJquJmoGay0hjS0sJLy3lVp0On5Ii\nxo/VCB4vy0hF3dq1ZQv35n7CVssMqpzf//m8bClm12hJMmgGJoWH496+PQfmz0cDTK1bc395FQfc\nZuFYKT0CUXesDQ+/rCxWlRRzqkUSeZnnmeLtTVs5L7tRk2GiZsD6Bjx+/jwDnJxoe/EiK8tLuZ8P\n2J6QIN12UWcmhYdzT3AwqqCgeq+BQykfu81lrTFDyps0ctIzaCaMaWnMSkhge1IS+o//g1aQSyu9\nmTkLpdsu6oa1V+CWl4e7UkzW6+loNvFffTGHDunkddbI1XnP4Nlnn+XWW2+lb9++hISEUFhYaLst\nJiaGgIAAAgMDSUlJqeuHFr9g2vPPs2PDBvS7dnHWdJFJHgbM0m0XdchazfRiaSnBgG/Hjtwydy6D\n7urCX+ZEytLSRq7Ok8Hw4cP59ttv+frrr+nRowcxMTEAnDhxgo0bN3LixAmSk5OZNWuWVDVsIIlx\ncQzu3Bndjh2MNptpodpzvh24hIVJt13UGWvDorPFwi6DAXNhIf3vvpuR4wK45auV/HujLC1tzOo8\nGQwbNgydrvpu77rrLjIyMgDYsWMHEydORK/X07VrV/z9/Tly5EhdP7y4hLXrfntVFSuV4iDwneUC\ndwy5l+jVq6X0hKhT1mqmrx4/TsuwMP4+cybfLYtiLSZ2z5OlpY1Zvc4ZvP3220ycOBGAs2fPMmjQ\nINttvr6+ZGZmXvH/LViwwPbvoKAggoKC6jPMJs26kihl5kw04LzmSDcHR4KGDZPhIVHnwms0Lhat\nXk3ykCG2VWwXC8zMiY1meEgIr0RG8mx0tLwGb8D+/fvZv39/nd3fdSWDYcOGkZ2dfdn16OhoxowZ\nA8CiRYtwcnIiLCzsqvdztRdCzWQgboy1615eXEy4jw+pmee568+zyUhLs3dooomreQjOU4EG1HdG\nzGUaKVu3Vu9IHjBAJpVvwKUN5YULF97Q/V1XMti9e/cv3r5u3To+/PBD9u7da7vm4+OD0Wi0fZ+R\nkYGPj8/1PLy4Rsa0NMYmJfH11wpeehSLOZtpEf+wd1iiGah5CE4fn8c5OuURxnTxZanJxIuRkbz+\n17/y8FNPMXn6dHuHKlQd27lzpzIYDOrChQu1rn/77beqb9++qqysTJ06dUrdcsstymKxXPb/6yGk\nZi9hzRr1gMGgwtsHKAuoqIAA9YDBoBLWrLF3aKIZmfnI+2qczlk97eGhFKgIPz+1c9OmK34OiGt3\no5+ddT6B/MQTT1BcXMywYcPo378/s2bNAsBgMDBhwgQMBgMjR45k1apVMl5YT5RSvBL581I+65K/\n8mLzz2UBpKywaCCJcXGM7tWLVgdfYLrFTFluLuOdnCi6cEGWNjcidT6BnPoLSxWjoqKIioqq64cU\nl9i1ZUutMVlN0ygo0HCsKGDurQZUhlHehKLB1CyHkgHkt3XDPeheRk+eLEubGxEpR9GEWFtgB6Oi\nalWJTFizhrWvruDUwLdZ+u1xKQsgGlTNieR97Q20u1hCwa5d6DRNljY3IpIMmhDrcJDFXHs4yMPd\nnR4/HKN//+o35YjQUHkTigZlTEur3uToojhj0RhqNktJ60ZGU6px7RHXNE22rd+A5M2b2TVlCpqf\nH6k//IDJ05PfubjwUmoqz3YJ4LtWelm9IexCKUXE9GcoeHMZa1BE+vkxeOlS21CmuDE3+tkpPYMm\npuYO0NmJiQy47z4qS8wAnMjLZvaCBTJxLBqUUopHgoMZ07s3Wf/aQEsUk/R6cjMzObBnjySCRkKS\nQRMTHhFha2kFjx/P0AcfpCS/gD/ofeliMvH1kSPy5hMNateWLbh/8gm/GznSVsTOrU11EbtuXbva\nOzzxE0kGTcyly0q3JSXxiWM7/Fu5sArIWLdOxmlFg6i5oGFZcTH/S0rCw2TirTbeVJiqi9iFy9xV\noyHJoImxLSv96fDxN7ZuxTVwKS4O1ZPKbVxcZI+BaBCXLmi4WFpKt7lzeXRDBt8Eyoq2xkaSQRNx\ntWWlSWvXkpmpgbmAeQYDpXKGgWggNZeUzjMY8LNY6H/33RgMGpnpnzP1+eftHaKoQZJBE3FpK6yq\ntBTfHj3402PTKDyXxpA11ZPKssdANKSaCxqsr73vvtjC0OKVbE+S8w0aE1la2oTUXFaaeeoUHTSN\nO5cmEPH3UK5SLVyIBmM9W8MvK4tV+fk80zmA71vLUue6IktLhY0xLQ3nsDBOAt7t2xNbWsoXL0Xi\nmm/g0eBgSbLCriaFh3NPcDCqoAANqCiWGlmNiSSDJiQ8IoLo1auZvWABLo6O1cNFJWY8bxmF+6ef\n2iaVhWhoiXFxjOndm+82bMBFKR7W6SnNk30GjYkkgyam5qTdWC8vPs3PpPuPG2pNKsuyUtHQrHNa\nNfcZnO4/lzPffSc91kZCkkETdCY1ldIhQ9iWkUG72+biUFkipauFXVkbKZ0tFnYZDGhlhVwsAc9j\nx6TH2khIMmiCOgcE4LJ3L3u2b0dzGYSTZpFlpcLurCuL+j3xBAc0Rasf1kmPtRGp8/MMhP1YV2v0\nraiwHSuYdboQ3xFhrPtgNSlbt8qyUmE31t3GOzdtItBSSUuL88891uhoOQ/ZziQZNCGTwsNxc3Vl\nxbRpQPWbTHVcyfxFobbS1ULYS83GypQyM9spY7yTEx3lxLNGQZJBE6JpGl8fOUIXk4mJvr54FRRw\nUa/h6ipvMmF/NRsrXYAzuNF5pJx41ljInEETYS1Hkbl+PauA7i4ufNWuHZbiBN5cEikrNoTd1Wys\n7PP1pRNy4lljIsmgibAu3Wvj4mIbh41YtoxK/WSK1q2UFRvCri5trDifO8cRynGVE88aDUkGTcSl\nRcGOnz/P4rlzGVwSxbJiWbEh7OvSxopr27a0QM9qZMlzYyHJoAmpWRRsVkICzm3b4qhKZY+BsLtL\nGytlJhN+mHnY21eWPDcSkgyakJqnnGmaRkB6OiZyeDpQ9hgI+zOmpeE8cSKfZGdzwcmJUYB/q+q5\nrW2JifYOr9mTZNDE1DzXYHlpKbk48L8qhUtYmKzYEHYVHhHBfUOH0qWkBL8WzoQDlrLqua3VMqdl\nd7K0tImZFB6Oe/v2HJg/nxSgDyW4Dh5F9Ool0isQdlNzj8FjZjP/LCtjDE50lj0GjYb0DJoYTdP4\neM8edmdmssXJidUoindsYEzv3jJ5LOym5uFLGUChqxtftE1kTEKC9FgbCekZNEG3dO1K6Ny5FL3/\nPprRSGXJRXx73EXYTzuThWho1tZ/cU4OH2kariUltHbXETxedsU3FtIzaIKmR0bSf9AgzAUFhLQy\nkFNRjn7XLnZv22bv0EQzlRgXx99nzaKwXTsSlSKvdTscz8+U3mojUm/J4NVXX0Wn05GXl2e7FhMT\nQ0BAAIGBgaSkpNTXQwt+PvUs3QHcWlafeiZ7DYS9TAoP58WVK/HR69EBXjo97XutIvPUKdkd30jU\nSzIwGo3s3r2bLl262K6dOHGCjRs3cuLECZKTk5k1axYWi6U+Hr7ZU0qRX1jIolWrMNy/AEflKHsN\nhF1dus+g3FSAQ/khsletkt3xjUS9JIN58+bxyiuv1Lq2Y8cOJk6ciF6vp2vXrvj7+3PkyJH6ePhm\nb9eWLWStXMnubdvw8NBQJQVynoGwu5rnGeyvUrQ+LecZNCZ1PoG8Y8cOfH19ue2222pdP3v2LIMG\nDbJ97+vrS2Zm5hXvY8GCBbZ/BwUFERQUVNdhNklXOs/gk/OFVHqH8eVxOc9A2FfN8wx6VlXi1ULO\nM7gR+/fvZ//+/XV2f9eVDIYNG0Z2dvZl1xctWkRMTEyt+YBfGg+8Wgu1ZjIQv13NPQbWN9ljUSuI\n/ccXAPJmE3ZVs7Ey3WLmg4tynsGNuLShvHDhwhu6v+tKBrt3777i9ePHj5Oenk7fvn0ByMjI4I47\n7uDw4cP4+PhgNBptP5uRkYGPj8/1PLy4ikvHZS1GIxfOHObeC3EkbxnISFnGJ+xAKcWSqCieWbTI\n1lix7jWYumY1mqZJj7UR0FQ9TuV369aNL774Ajc3N06cOEFYWBhHjhwhMzOToUOHkpaWdllrQNM0\nWV1wA9YuXkzngADO5+Tw5t//jj4vj5TSUiK6BXDCRc/DTz3F5OnT7R2maEaSN29m15QpBMfHo5Qi\necoUvi+Oez7nAAAgAElEQVT2o2drIyPj46XHWkdu9LOzXjed1fygNxgMTJgwAYPBgKOjI6tWrZJu\nYT2wjssqpTCePEnGsmXsBspNZua8IuOyouFcaQ5rf0EBPe8P43zGap6OkjmsxqReewbXQ3oGN876\nJvTPz2dZVhZTdU58balk+IxwYt54w97hiWZCKUXy5s0cmD+fGKORSD8/Bi9dSlp2CFvWvsC+r6Kl\nQViHbvSzU3YgN0HWOjBVJSVoQGvXjjgFPM2P330niVY0mEvnsKxLm3dv24rhezl9r7GRZNAEWd+E\njhYL8wwGVFkB585pdDx2TN6AokHVPHCpZVgYf585k1YfT2dFmewvaGxkmKiJqjmR/NZLL+GdYWYD\nObwYEMDXeplIFg1PKcXfn36GjNhlxKFsw0bWA5nEjWnUE8jCfmpOJHu4ubHl0flghi+zs3nirbcI\nHj/ezhGK5sQ6j9UqO49OKCbqdLTJzOTAnj3yWmwkZJioibMOGTmpAoJb+tLFZOLrI0ekJSYalHUe\ny3SxlGCgrcWC9sADdOva1d6hiZ9IMmgGtiUl8WXbtlw0X2QlkLFunYzVigalaRoH9uzBp8zEekc9\nLkDp0aPsSEiQ12EjIcmgGXhj61YemPQnelsK2A20cXGR6qWiwSileCUyEm/vLvzT8Wn8OnZkJHCx\ntFReh42IJIMmLjEujjG9e5Oz8V1WoYjRdKRkZPDxnj0yVCQahLWKbpG5J5173k15USG7DAb8LBap\nSdSIyARyE2ctXvdheDgpQKBSqDGjuaXGWRNC1IeENWtY+cILDHFzY6nJxLTVkVRaCnCZFMai1VJF\nt7GRZNDEaZrG/t272VNYSKmjnrWVFTx99HN2/PADLu7usrxU1BsPNzc6X7xIiaahUV0SZe7KVUx+\nvHopqZRGaVwkGTQDlcXF3O/khKlNG7TcXMqKSpjzeqy8GUW9qFmT6DGzmX+WlRHi6IRb1QU6dJBh\nocZKkkETVvNN+Y/ycqbn5dHfwYmOpWYZqxX1pua5GhmAyc2Nqn6r0XtLqerGTCaQmzDr2m6L2Vxd\no8jdnai1SXzeIoG3lr0uO71FvahZk+h/BgPu5eUcPaLh2uoLpj7/vL3DE1chyaAJu7RQmCoro21b\njdv7a3h+LnWKRP2pWZPIdUY8ns7bKIxfyq4tW+wdmrgKqU3UxFlrFA178EFG33EHBZmZ3OnkyrLM\nVKlTJOpdYlwcL89bzj36fN4oyGKutzdp7dvLa64eSAlr8YvCIyIYERpKytat9PzhB8Y88gguuuph\nozKTWTb9iDpn3WSmlOLCBUXpxUJ0xReqX3MXLlBUVCQNvkZIkkETlxgXx+hevTgYFcVSk4lz777L\n7sxM7m/lRXFugUwkizpn3WSWsnUrFy5Op9vtf0KrqmIeQFUVo/70J+kVNEKymqiJq7myQwOqSkoI\nffppSsr0vPH2AG79KpURssJU1IFLj7l8ISKSzel/xf/WVuS2aEGnbt3IS0+nTXa2NEAaIUkGTdyl\nk8gORiOaplH8ziruHhRPkVOEvUMUTcSlDY8LGefwuu0txj2USpcezzM8JER2HTdiMkzUDFhXdvR/\n8km+ateOjPXrWWoy0eNUJO8s7EX8ip+rRtYc7xXiWtRseIT7+qIzF9G352GmR0baDrAZERrKtAhp\ngDRGkgyaAesk8uTp03l+6VLauLigAXqLGe++CynX/zyBXHO8V4hr9UFSEsfataNFhTMPAtm746Vc\n+k1CkkEzcqUDykNCNGJiNOJX1p5olvNpxbVSStGlZ0+e+8dSivPKCAb8W7aUFWs3CUkGzUzNzUAj\n4+Np7ZBK795QVFl7t7LFLMtOxbXZtWUL2atWsSnxME5VPzc4ZMXazUEmkJuZ8BrjtdZCdXd+A8OH\na6xaolGan88Id3cC8/PlTSx+k0tXEQ359zouurdjzpNP0sHDQyaMbxKSDAS33QbDhsHG9Wn0nzED\nLS6Ojo8/Lm9i8ZtcuoqoW4uW6O+9g0nh4eh0Mvhws5BnSgBwe2AcX3yUQN7WHXiZTBRt3852OZ9W\n/AbWHqTpQg4Po6GvOkd+cjK7t22zd2jiGkhtIgFUT/5NfnAzxTtn0q08ly+cnYl65x2Cx4+XoSLx\nixLj4lj94ou0Lyjjg4oiQnU6LlgseHl6Yvb0lDpEDURqE4k6kbR2LRmfz8OjPI8RQC+zmQWPP07S\n2rX2Dk00cmHTpuHX63e0r2yHDvDSNF4E/Fu0kEUIN5F6SQavv/46t956K7179+b5GvXLY2JiCAgI\nIDAwkJSUlPp4aHGdJoWH49rJm690Ov4DrAJamky8+9prMlQkarl0Y+LOTVsx70+mtWMO0319UVVV\nrPP1xVxYKIsQbiJ1PoH80Ucf8cEHH/DNN9+g1+u5cOECACdOnGDjxo2cOHGCzMxMhg4dysmTJ2WC\nqZHQNI3Hn32W+Ecf5XyZRoqqJLCigi6jRknLTtRi3ZgYlZ/Pfw8epPP5CkZh5j/uXqSZzfgPG8aQ\nP/yBzgEBsgjhJlLnyWD16tVERkai1+sB8PT0BGDHjh1MnDgRvV5P165d8ff358iRIwwaNKiuQxDX\nKeOHH9Dfey9f7t1HBQ7EU8XcDRsYs3OnjPuKywvR7d1LnqmU9jklTAfS9XrCXn/dVnpC3FzqPBmk\npqZy4MABoqKicHZ25h//+AcDBgzg7NmztT74fX19yczMvOJ9LFiwwPbvoKAggoKC6jpMcQXhEREo\npejdty9n397IkvwMKi5eZE5srG1Pgmi+Ll1CqsrKuOjwMG1axDGvuwHLT0UQJRE0jP3797N///46\nu7/rSgbDhg0jOzv7suuLFi2isrKS/Px8Dh06xNGjR5kwYQKnTp264v1c7UVTMxmIhjU9MpLkzZv5\nauVKytFxvrhc3uACuEI5kzQjuvZZjEmMJzhUKpI2tEsbygsXLryh+7uuZLB79+6r3rZ69WpCQkIA\nGDhwIDqdjpycHHx8fDAajbafy8jIwMfH53oeXtSjxLg4Vv/lLwxs355lWVmE0Z4Xp83ifE4OWadP\n82x0tCSGZkopReKKFUx++22cPUKZPG4r86amMnJ8da9Reo83tzqfvR03bhz79u0D4OTJk5SXl+Ph\n4cHYsWN57733KC8vJz09ndTUVO688866fnhxgyaFh/PiihW4ODqiAV4ejmSzEk25SzXTZm7Xli14\nHjtGcbHGo49qrH03lHmLpBx1U1HnyWDKlCmcOnWKPn36MHHiRN555x0ADAYDEyZMwGAwMHLkSFat\nWiUtzEbo0qGAtMLzeKq5JD8t1Uybq4Q1axjk4cGO6dNZajLxrzmRdCjpRa5RXgNNiexAFpdZu3gx\nnQMCGB4Swq4tW9i9bRtF2w6yttRIpJ8fg5culRUjzcjOTZtYOmkS3SsqeAOY0sKPkPVLeWCCvAYa\nkxv97JRkIH5V8ubNJE+ZQnq5H53UGSwjh3BLYCDPxcTIh0ETlhgXx4q//Q1Lbi6BFRW4A5lAOzQ8\nZ0wn+o037B2iqEHKUYh6Z0xLY2R8PK/97zj/cpzBhX/+m4zYWJk/aOLCpk3jtrvuokfbtlwEgoEO\nrm7cMn8e3bp2tXN0oq5JMhC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} ], "prompt_number": 73 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# TODO Finish problem 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 11\n", "\n", "Key by Ryan Brunt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 1" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "import scipy.linalg as la\n", "\n", "\n", "def householder(A):\n", " A = np.asarray(A)\n", " m, n = A.shape\n", " \n", " R = A.copy()\n", " Q = np.eye(n)\n", " \n", " for k in xrange(n - 1):\n", " x = R[k:, k]\n", " e1 = np.zeros_like(x)\n", " e1[0] = 1.\n", " vk = np.sign(x[0]) * la.norm(x) * e1 + x\n", " vk /= la.norm(vk)\n", " Pk = np.eye(m)\n", " Pk[k:, k:] -= 2 * np.outer(vk, vk)\n", " R = Pk.dot(R)\n", " \n", " if k == 0:\n", " Q = Pk\n", " else:\n", " Q = Pk.dot(Q)\n", " \n", " # Note that we used Pk in such a way to compute Q transpose\n", " return Q.T, R" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 154 }, { "cell_type": "code", "collapsed": false, "input": [ "A = np.random.randn(4, 4)\n", "Q, R = householder(A)\n", "sp_Q, sp_R = qr(A)\n", "\n", "print(\"R's the same as scipy? %s\" % np.allclose(R, sp_R))\n", "print(\"Q's the same as scipy? %s\" % np.allclose(Q, sp_Q))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "R's the same as scipy? True\n", "Q's the same as scipy? True\n" ] } ], "prompt_number": 155 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem 2" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy as sp \n", "from scipy import linalg as la \n", "import math\n", "\n", "\n", "def Hessenberg(A):\n", "\t\"\"\"\n", "\tReturn the upper Hessenberg form of a matrix\n", "\n", "\tParameters\n", "\t----------\n", "\tA : numpy.ndarray\n", "\t\tn by n matrix to be put in upper Hessenberg form\n", "\t\tNote A must be square\n", "\n", "\tReturns\n", "\t-------\n", "\tH, Q : numpy.ndarray\n", "\t\tH is the upper Hessenberg form of the input matrix\n", "\t\tQ is the orthogonal transition matrix\n", "\n", "\tNotes\n", "\t-----\n", "\tA = Q.transpose().H.Q\n", "\n", "\t\"\"\"\n", "\tH = A\n", "\tm = sp.shape(H)[0]\n", "\tn = sp.shape(H)[1]\n", "\tQ = sp.eye(m,m)\n", "\tfor k in range(n-1):\n", "\t\tx = H[k+1:m,k]\n", "\t\te2 = sp.zeros((1,sp.shape(x)[0]))\n", "\t\te2[0,0] = 1\n", "\t\tv_k = math.copysign(1,x[0])*la.norm(x,2)*e2 + x\n", "\t\tv_k = v_k/la.norm(v_k,2)\n", "\t\tP_k = sp.eye(m,m)\n", "\t\tP_k[k+1:m,k+1:m] = P_k[k+1:m,k+1:m] - 2*sp.outer(v_k,sp.transpose(v_k))\n", "\t\tQ = sp.dot(P_k,Q)\n", "\t\tH = sp.dot(P_k,H)\n", "\t\tH = sp.dot(H,sp.transpose(P_k))\n", "\treturn H,Q\n", "\n", "print 'Problem 2'\n", "G = sp.array([[4,3,1,3],[5,2,4,7],[2,3,8,5],[2,8,1,2]])\n", "H = Hessenberg(G)[0]\n", "Q = Hessenberg(G)[1]\n", "print H, 'This is the upper Hessenberg form of the matrix'\n", "Temp = sp.dot(sp.transpose(Q),H)\n", "print sp.dot(Temp,Q), 'This is Q^T.H.Q'\n", "print G, 'This is the original matrix'" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Problem 2\n", "[[ 4.00000000e+00 -4.00378609e+00 -1.11218814e+00 -1.31633373e+00]\n", " [ -5.74456265e+00 1.01212121e+01 6.67576201e+00 7.35337603e-01]\n", " [ -6.43018752e-16 6.60696407e+00 -8.45490052e-01 -1.64863116e+00]\n", " [ 7.98724773e-17 1.33226763e-15 -5.82649490e+00 2.72427793e+00]] This is the upper Hessenberg form of the matrix\n", "[[ 4. 3. 1. 3.]\n", " [ 5. 2. 4. 7.]\n", " [ 2. 3. 8. 5.]\n", " [ 2. 8. 1. 2.]] This is Q^T.H.Q\n", "[[4 3 1 3]\n", " [5 2 4 7]\n", " [2 3 8 5]\n", " [2 8 1 2]] This is the original matrix\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 15\n", "\n", "Key by Ryan Brunt" ] }, { "cell_type": "code", "collapsed": false, "input": [ "la.qr(la.hessenberg(A))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 13, "text": [ "(array([[ 0.15617376, -0.9139952 , -0.3435377 , -0.14901132],\n", " [-0.9877296 , -0.14451533, -0.05431808, -0.02356076],\n", " [ 0. , -0.37911488, 0.84892898, 0.3682275 ],\n", " [ 0. , 0. , -0.39793338, 0.91741432]]),\n", " array([[ 6.40312424, -6.3708559 , 3.4369337 , -4.72044582],\n", " [ 0. , 8.94495361, -3.46630803, 1.91297395],\n", " [-0. , 0. , 9.15603981, -0.45907198],\n", " [-0. , -0. , 0. , 5.15619097]]))" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "lab15key.py - written by Ryan Brunt\n", "\n", "\"\"\"\n", "from __future__ import division\n", "import numpy as np\n", "import scipy as sp \n", "from scipy import linalg as la\n", "import sympy\n", "from sympy import Matrix\n", "\n", "\n", "def qrEig(a, its = 1000):\n", " \"\"\"\n", " Returns eigenvalues of a matrix via QR algorithm\n", "\n", " Parameters\n", " ----------\n", " a : numpy.ndarray\n", " n x n input matrix\n", " its : integer\n", " number of iterations for the QR algorithm to execute\n", "\n", " Returns\n", " -------\n", " eVals : numpy.ndarray\n", " vector of eigenvalues\n", "\n", " \"\"\"\n", " if sp.shape(a)[0] != sp.shape(a)[1]:\n", " print 'ERROR: input matrix is not square'\n", " else:\n", " h = la.hessenberg(a)\n", " b = Matrix(h)\n", " n = its\n", " while n>=0:\n", " q,r = la.qr(h)\n", " h_new = sp.dot(r,q)\n", " b = Matrix(h_new)\n", " if np.allclose(h, h_new):\n", " break\n", " h = h_new.copy()\n", " n -= 1\n", " offDiag = sp.diag(h,-1)\n", " eVals = []\n", " if not(b.is_upper()):\n", " matI = sp.eye(sp.shape(h)[0])\n", " for i in range(sp.shape(offDiag)[0]):\n", " if offDiag[i] >= 1e-250:\n", " subMatrix = h[i:i+2,i:i+2]\n", " eVals.append(sp.roots([1,-sp.trace(subMatrix),la.det(subMatrix)])[0])\n", " eVals.append(sp.roots([1,-sp.trace(subMatrix),la.det(subMatrix)])[1])\n", " matI[i,:] *= 0\n", " matI[i+1,:] *= 0\n", " for k in sp.diag(h*matI):\n", " if k != 0:\n", " eVals.append(k)\n", " else:\n", " eVals = sp.diag(h)\n", " eVals = sp.array(eVals).astype(complex)\n", " return eVals\n", "\n", "n = 4\n", "A = sp.random.randn(n, n) #random real\n", "B = sp.random.randn(n, n)*1j\n", "C = A + B #random complex\n", "D = A + A.T - sp.diagflat(sp.diag(A)) #random symmetric\n", "H = C + C.T.conj() #random Hermitian\n", "\n", "print 'This tests a random real matrix'\n", "print qrEig(A, 5)\n", "print 'This uses the built in routine'\n", "print sp.sort(la.eig(A)[0])\n", "print 'This tests a random complex matrix'\n", "print qrEig(C)\n", "print 'This uses the built in routine'\n", "print sp.sort(la.eig(C)[0])\n", "print 'This tests a real symmetric matrix'\n", "print qrEig(D)\n", "print 'This uses the built in routine'\n", "print sp.sort(la.eig(D)[0])\n", "print 'This tests a random hermitian matrix'\n", "print qrEig(H)\n", "print 'This uses the built in routine'\n", "print sp.sort(la.eig(H)[0])\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "This tests a random real matrix\n", "[-1.11180092+2.02697677j -1.11180092-2.02697677j -1.52082338+0.j\n", " -0.50863679+0.j -0.56474000+0.17421139j -0.56474000-0.17421139j]\n", "This uses the built in routine\n", "[-1.11148588-2.02695487j -1.11148588+2.02695487j -0.56505505-0.1742988j\n", " -0.56505505+0.1742988j ]\n", "This tests a random complex matrix\n", "[-0.37050175+2.97526822j -2.02643569-1.44828675j -2.02643569-1.44828675j\n", " -0.77730929-1.81915212j -0.17883511+0.53819926j]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "This uses the built in routine\n", "[-2.02643569-1.44828675j -0.77730929-1.81915212j -0.37050175+2.97526822j\n", " -0.17883511+0.53819926j]\n", "This tests a real symmetric matrix\n", "[-3.13894012+0.j -1.44994086+0.j 0.94664471+0.j 0.28915442+0.j]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "This uses the built in routine\n", "[-3.13894012+0.j -1.44994086+0.j 0.28915442+0.j 0.94664471+0.j]\n", "This tests a random hermitian matrix\n", "[-5.99071932 -2.75376198e-16j -1.58081320 +1.42618090e-17j\n", " 1.17537511 -2.08282521e-16j -0.31000628 +2.01919608e-16j]" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "This uses the built in routine\n", "[-5.99071932 -2.75376198e-16j -1.58081320 +1.42618097e-17j\n", " -0.31000628 +5.30632755e-17j 1.17537511 -2.08282521e-16j]\n" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 16\n", "\n", "Key by Ryan Brunt" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\"\"\"\n", "lab16key.py - written by Ryan Brunt\n", "\n", "\"\"\"\n", "\n", "import scipy as sp \n", "import matplotlib.pyplot as plt \n", "from scipy import linalg as la \n", "\n", "X = sp.misc.imread('fingerprint.png')[:,:,0].astype(float)\n", "X.nbytes\n", "\n", "plt.figure()\n", "plt.gray()\n", "plt.imshow(X)\n", "\n", "U,s,Vt = la.svd(X)\n", "S = sp.diag(s)\n", "\n", "n = 50\n", "u1, s1, vt1 = U[:,0:n], S[0:n,0:n], Vt[0:n,:]\n", "Xhat = sp.dot(sp.dot(u1,s1),vt1)\n", "(u1.nbytes+sp.diag(s1).nbytes+vt1.nbytes) - X.nbytes #should be negative\n", "y = float((u1.nbytes+sp.diag(s1).nbytes+vt1.nbytes))\n", "print y,'This is how many bytes it would take for each image'\n", "print 'You only use ', y/X.nbytes*100, ' percent of the original memory needed for the uncompressed image' \n", "plt.figure(2)\n", "plt.gray()\n", "plt.imshow(Xhat)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "135200.0 This is how many bytes it would take for each image\n", "You only use 60.8088658607 percent of the original memory needed for the uncompressed image\n" ] }, { "output_type": "display_data", "png": 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FRUcYAu/s7LC/vy+jdwVhXXSH4qItjkAip7xYLGKz2SRtSIzNomgKAvovWq3V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9KCrkML6PHI74OfEzVEdUKpUDXVlySlS/o+YFAbmpRqlQKOB0OuHz+eD1erm+\naLFYeOojOVS6791ul5tBpIVJWFBixGQyGU7rRSk5UhcikLxWq2UxDXKIBHOiyJZe/f6D0ROFQgGJ\nRAIHBwcoFAqcklerVRbdcLlc8Hq9DFK32WxcuqA0uVKpIBKJ4N69e8xZpzSZWD1yuRwzMzM4ceIE\nTp8+DZvNBpVKhXq9joODA2xvb+PmzZsolUpQKBQIBoOYnJxEKBSC1+uFxWKBXC5nyinVY2kBIsyn\niJoQlaJEssCoxvnk7Yl31X9Re5FTddHE8yenKoK4gYdpNn1e7LqLKbfYZBIhSuRYqZkjdrxrtRqz\ngejBlEgeCPTa7XZe7ETaH6WLxPxJJpOc+j6qWSGRSNgxUmefzpGiTKpNUhosHgvtR2ygiOwocjDE\n/jEYDANiw2JETUIiVAYhZSVShnc6nVyjp2ZWPp9noDuJnNCsdhq54fF4eJSxRCLhGUw0xVOU3DOb\nzRgbG8P8/Dx34odJCnTfqTxB50GLJjA4YXSkzflk7bmjXL6IJuIzqY43/DAMd8NFI8chOg+qgdHf\nyQm1222OWkQGEACWPDOZTADAaaJcLmd5tl6vh1QqhWKxyJEkNZsUCgXq9TqOj4+Zr05RoIjnJNk1\n2h85X8JHAhiYHEn7ooiRIlG6djRfnOavA+Ami81m43KBCL6XSh+oxpMwCEXEFF3rdDqYzWYkEgnY\n7Xa4XC44HA54vV4e8ZHNZnF0dIR4PI5YLIZUKoV4PI5kMsnRK3XmaeYRdcyr1SpSqRSi0SjXQqvV\nKqanp+Hz+XhhoZq12AAU8bfDo4Kp/DKyZ2ej0RlPyR5V2xQnTYrNG9GBihEcbUdsZoj4TjG9V6vV\nkMlkPJeHKIvimF6KRumBrNfrAyK/NI2SHLFGo8HU1BTcbjezgigCI8YQRb0SiYSjXKJUkmOkLjtF\nnHRdqB5psVgYx0mgfWrKUP2VAPzRaBSJRALZbJaxll6vl7GWWq12QCqPnGGpVEImk8HR0RHz7r1e\nLyYnJzExMcFYVovFAgBIJpPY3t7GnTt3sL+/j1wux+IktIDIZDI4HA4sLi7i1KlTGBsbQ7fbxdHR\nEW7cuIFwOIxSqYTx8XHMzMxgZWUFY2NjMJlMA+UAsV4sRttUsqH7Kf4uRvb47blK1V9UxynWKilF\nJpC6yPABHirCE7yIIjVK60VnKtY2xahFZO/Q+2IUJc7noYhXZBURfpOcmdlshsViYeEPUZB3GMBP\nPHNKWclQcbAiAAAgAElEQVRJixxrESEgNnKI0uh2u2E0GjnlJmcLgEsb9Xod6XQasVgMe3t7DICn\naJqib9LOpCiYGj6tVgv5fB77+/sDEbRcLofFYoHb7R7Q4ZRIJDg4OGB2EaXUlKJnMhnkcjnm1M/N\nzcHv98PlciGfz+P4+BjhcBiVSoVxzoFAAMFgkNXt6fyolCFmJYRXJak6UQFqZI/fRo7zOTARg0cK\nQuJMcOBh9EAOhpokhGkU4UvAw8iUMJRijVTcFkFxDg4OEI1GEYlEBjCPYkdfp9PBaDSyOIfBYGDM\nJI2RIOdKUSSB0umYMpkMDg8PmV9OmERyBiL9ko5VdKgzMzPweDxQq9UDTlwsCYg1wVwuh1gsxnVM\nmUzG6TlNxJRKHwgwu91ujI+Pw+fzwWKxQK1Ws/Pd2dnBzs4O4vE4w56cTidOnjyJxcVFzMzM8DUl\nBSeK8ukY7t27xym51+vFwsICzp8/D7/fD7lczl343d1dJJNJ2Gw2TE1N4fTp0zwGhBZNKjdQRE7X\njhYiWkxGzvPJ2MhxPif2acB2UTJOZJJQxCmKGIvqOfTQig0isfHU6XRQKpVYAm1jYwOHh4fI5/Ms\n7hsIBAZgN9R5VqvV7CCIOUNgcgLGEw5SIpFwVKrT6Zj7bTQauWZIzBxRik50uNSdzuVyXJsluBBR\nHilqpFom1SgpGnY4HDy1k1J7Ap5HIhEcHh6iXC6j2+3CarUiFArh1KlTGB8fh8FgQKVSwf7+Pra2\ntnD79m2kUik0Gg2YTCaMj49jbm4OKysrCAaDMBqNHKk2m02et16pVBAOh7k732w2YTKZ8PLLL+P0\n6dOYnZ1FqVRCJBLB1atXkUgk0O/3cfHiRczNzWFsbGyghCM23WhxER32yJ6cjZpDz4FRBCiyPmQy\n2QC2kR4MMT0HPulwxeYQOdROp8MNEuABqyubzSIajTJ/ut/vw+v1IhQKcQd9bGyMI5tWqwW1Wo12\nu41UKsUv6sbX63U+H4pMKb0WMZ3kGCnVJ+YPpfDU4KAXsaEo/Ra76pTik4MlXCiVILRaLY/tcDqd\nzCSia2wymdgh0cjfdDrNI4AJSuRyuWA2m3nKpdPpxN7eHg4ODlCpVLiOShTRkydPotlsIp/PY3d3\nl/GdXq8XExMTcDqdcLvdCIfDiMfjuHXrFs9993q9GB8fh0wmw+7uLjeucrkcR52ichT9Pkb2/NjI\ncT4FexSnHBgcnSBy2EVqpLjiiU6THi4R0kIYTmK4HB8fY2dnB4VCAQAQDAZZ5Ye63yqVCu12e2D+\neKFQwPb2NkdUJpOJMZ0ejwcOhwMmkwkGg4HVkojpI452oG0dHR0xL50aMYTdpPMV01PqxFutVjgc\nDoblEIogmUwikUggmUyyg6ZOOh0PjdCYmprCxMQEZmZm0Ol0uNa4u7uLcDiMjY0NbG1tsZDxuXPn\nMD8/D7/fj1AohO3tbRwcHGBnZwfb29soFAooFovQ6/WcMkciEVSrVRgMBpw6dQonT57EqVOn4PP5\n4PP5cOXKFUSjUVy7dg25XA4vvfQSlpeXcfLkSTgcDoTDYZ7fXq1Wmc9PY5XF+qYIkB8mQYzs6dko\nVX9KNuwg6T2KzqjYTxJzoozYMFtITOcpzSe2TbPZZOUgmkZJsB3CKyqVShQKBZ6pQ7xzEQbUarV4\nwiRhOw0GA0dzNMGSIsB8Po9sNsvK67RAiI0tSrHNZjOsVisPWKP0k/ZH3X8xOhdZUwSqTyQS3Lmn\nOi4xgEiMWaPRYHx8HJOTkxgbG4PNZmMh42KxiFQqhb29PS5hEH99cXERDocDKpUKuVwOOzs7uHnz\nJnZ3d9Hr9RAKhXDhwgWMj4+jUChgc3MTOzs7KBaLsNvtmJ6exvz8PI/miEajiMViODo6glKphNPp\nZOdqMBhQKBTYQYr8e6qBUx2cCAcjh/nkbVTjfA5MvMzDvHVKtSnCpOhi+LNiFEoOBXio1kNdccIq\nirAlYhyRSEc2mx2YfU7NE7H5QnVLqrVSk4pgPXQsFHlRw4lA8xSlUkOL8KMihZEWATG6pjEb/X6f\nG0r0Hl0TkrQjcD81usrlMlKpFCspUaddo9HAYrFww4vOVavVIpvNIpVK4fj4GJlMBo1GAy6XiwWL\njUYjarUaDg8PcfPmTezv76NYLOLEiROYn5+Hx+NBsVjE0dERa5pKpVJ21m63m9lMR0dHnJpbLBbM\nzMxgenoaFouFyQIi6J8aQmKpR1xkR3CkJ2cjx/kcGEWL5KSGB5jRgyKycAgYDQwOPCOONkVxwEOW\njyjwQd+j6GprawvhcBj7+/toNBoc+UxOTrLwLjk78QEmhaSdnR0eoUHKRSLbSIyU+v0+R3eUkgMP\nYFIUnWYyGY5GiZ5ZKBQGJNZ0Oh2P/6VroFKpuKYqgsKJU18oFPjapdNp7OzsYHd3l2fCV6tV+Hw+\nzMzMcNSn1+vRbDbxwQcf4NKlSwiHw/B6vTh58iTOnz+PyclJWK1W7O7uYnV1Fe+++y7q9Trsdjte\neeUVzM3NweFwsAr8rVu3GOs5Pj6Os2fPYnJyEnq9HhsbG7h16xZu3boFq9WKpaUlvP766/D7/VCr\n1QMsJ4IkUXmDfiME0Ro5zidnI8f5jE2MFqgmR6k4vScqA1E0MSz4IdY/abv0WUrxyZHm83nWhSS6\noPgwEtDc6XTyaAdyiOTAiKHjcrkY9yhSQwkGpdVqOd0meBLV6ohrTikmqQQRiJsiSpKaazabA3U8\nEa8o4kVFTU66HqSa1O12WaWeAOykrkQKUBSVE57S6XTC6/Wi3++jVCrh4OCA8a7ibHWn0wmpVIpc\nLoc7d+7g4OAAAOB2uxEIBLh+3Gq1sLGxgUgkgkQiAY/Hg4mJCSwuLsJgMKBer2NtbQ2xWAz1eh1z\nc3NYWFjA3Nwcc9ZFpSxayOh30m63B7CtI3v8NuqqP2MTU2tybhRFDNeqREc5DCwXAef0nqh4JI7L\nIBGPw8NDVCoV9Ho9hu1YrVaeE6RUKrkuSGN1yclRqiw2X8jRE46RAOrUHCoUCiiXy2g0GtBqtQyj\noTIDRdc0RlcUN6bPiaOOKbKiyFSE44hK+VLpg3nthFstFArI5XJwOBycllOTy2w288C5fD6ParWK\neDzO9UmTyYTZ2Vnkcjmu/5JK/sTEBMbGxuD1egEAFosF0WiUI9lKpYJAIACv14uZmRmW4SuXy9jf\n30ev18Ps7CxcLhdOnjwJg8HATTiKsgOBAKvXU8PtUciKkT07G0WcT8FExgtFYcRlJrENqgUOp+qi\n2AM5EeChg6VudS6XY6cHgGfz1Ot1GAwGhseQuEQ+n2feNY3U1el0/Dmn0wm73Q6bzcagfdKVJMA4\nYSJFNg4NdNNqtfD5fOy4yKnTOYk8dHGeEqk4kcMQZxqJpQoRhkXfpZlBJMpBTlyj0cBqtXLEaLFY\nePCaXC7H/v4+Njc3cfv2bUilUrjdbpw/fx6BQAB6vR67u7u4ffs2rl+/jk6nA5/Ph5dffhnnzp2D\n0+lENBrFRx99hCtXruDw8BBOpxMrKyt4/fXX4fV60Wq18MEHH+Du3bs4Pj5GKBTCysoKXnrpJQDA\n4eEh3nvvPWSzWeh0Orz22mtYWFiAx+MZGEhH10lsHI5S9Sdno1T9OTER1wiAa5LDAh/0309znNRo\nUalU3Bnf2dlBv/9gmiRhEjUaDTdsqPtMg87y+TwLBZMwhc/nY2FdwhwSJ5wYPFT/rNVqPNqCnBCl\nyXRe5JgI7tTr9WAwGAbSTEo9iTdfr9c5wmy32wwxovopNVDoZ0uzxynSJpgT4UbJ2ZOkHUWzBKWi\nKBQAN5aKxSIUCgXPP6L5ROVyGTs7O8jlcpBKpZidncXk5CRcLhdqtRoymQwLgVQqFYyNjWF8fByB\nQAByuRyFQgFbW1tIpVKQSqVYWVnBxMQEzGYzwuEw8+7n5ub4Ncwco/LOMENsZI/fRqn6c2AiBVJM\nRemhp5qfCLsRKYliR5246VQLI4dA9UKSSyPKJmEXSV2IwOwKhQImkwk2mw12u50ZQ51OB4lEAoeH\nh0ilUgx5og6vWq3mCJM0NKm2SiUIqmNS2k+TI81mM5cXiHFEjRmSc6PrROk5OTGazy6qQIkq8maz\nGXa7nRcAknKjiJxSc6pz0vRNn8/HkyyNRiN32A8PDxGNRuH1elkARC6XM3WVRDtmZ2fhcDgwPj4O\nh8OBg4MDhMNhJBIJng1/9uxZZhxRZ/727dtoNBqYm5uDz+cbmE5KmE5COIissuHa7sievo0izqdk\nouMUU1PgIcSEOsbkhMRuO0FwSNtRLpej0+kMzDw3GAzcqMlmszg8PMT6+joODw9RKpUY1D0zM8PS\nZzRbiFgxtG+q+XW7XczOznJtj5w8TYAsFovI5/Mol8usfkR4ShLpJVV2AAMNI61WC6fTCYfDAalU\nyiIkVMrodrtIJpPI5/NMXTSbzZBIJCiXy0in08jlckin00in0yztRiB4r9eL5eVluN1u6PV6TvPL\n5TLi8ThPtKxUKqz8tLCwAJ/Ph1qtxuk5MXqWlpYwOzsLk8mESqWCzc1NRKNRlEolFkyenZ2Fz+eD\nVqvF1atXcfPmTdy5cwcXLlzAhQsXcP78eRwdHWF9fR2XLl2CTCaD3+/Ha6+9Bq/Xy9M6AfA1onst\njtMQ6bYjezI2StWfAxMbPMAgU4j+PazRKdbvKEXt9Xrs3OgzrVaLo8hSqYREIoFMJoNCoYB2uw21\nWg2j0cgddCoXkDBxMplEJpNBvV7n+p+YDhINs1gssi4mdZw7nQ6PrNDpdAMdb4oWqREllUrRaDS4\n1EAje0WaJm2Pommq1VarVcaVmkwmrrvSeZZKJXQ6HT426thbLBZ+EYifGjatVgu5XI5TZBrnS6pI\ntH/CXfZ6PXi9XhgMBm7cESCfxo4AYNqlXC7H0dERbt++jUwmA6PRiLNnzyIQCEAqlbLUXLFYxPz8\nPHfVRfUp+u2IJACxtjlynE/ORqn6M7bhuiX9V6zPiQwaikpFgDw5VYVCMTAPSEzfstksDg4OsLu7\nyzjNYDCI8fFxhtpkMhns7u6yYpBer+dJlTSegsQ66OFNp9M4PDzEvXv3mKUjKhZ5vV44HA643e4B\nnjWl6gBgMBi4803lBurSUwOE3qfBcHTdaFgaIRL0ej1P0HS5XByNlUolFg7OZDLIZrPY3t7mZhUt\nCi6XC9PT0wwxstls2NnZwa1btxAOhxGJRDA3N8dD12j44P7+PlKpFJLJJPr9PgPcdTodS8ZRDTSf\nz+PcuXOYnp6GzWbDv/3bv3Fq/8Ybb2BpaQlnzpxBt9vFjRs3cOvWLR5lPDs7C6vVin6/z0IqIoaT\nUvdRffPZ2SjifAomNnrIyRE+kcSAiWJIMB+K1kTIDzlYumX9fh/pdJrFOAgOUy6X4XQ6MTY2xpFT\nsVjExsYGNjY2sLm5Cb1ej1AohFdffZXZQcS8yefzXAMkUQ7ggZM2Go2MkTQajdDr9cx3p7ocNXlo\n9lClUmGnR+elVqthMpkYnJ9Op9l5ymQytNttLh0Q5ZDgS9TAIhyp3W7H+Pg4T7k0m80oFotIJpOI\nRqM8E51S+3K5zNRKqi9qtVoetra9vY1YLAalUgmXy4W5uTl4PB4YjUYUi0XE43FsbW2hVCpBqVRi\nenoa09PTcDqdSKfTWF9fx/379zl1P3PmDPb29rC+vo7r169jYWEBZ8+exalTp5BIJLC2toZLly6h\nXq/D5XLhzTffxMrKCpcM6EX6AvSbGtmTtecuVReZIS+CifAiiUTC3fFerweVSgWNRgPgYa2TvkPz\ng6gJQuN42+028vk8jo6OEIlEWMTDbrfDaDQOiOBSFJZIJJDP53n8hd1uZ21KmstTLpeRyWS4bkqK\n6qTHSWByipKpSSOKH4vjfYkSSek31TYBMEaUxnpQJ54wrzSIjRYWg8HAJQlyzsSgIjqlXq+Hw+HA\n5OQkR8x0XI1Gg7GtiUSCVZhIdJjmqhMAfmdnh+cqGQwGbp6ZTCbI5XI0Gg0cHBwgnU6j2+1yxG0w\nGDh1p+478fJrtRru3buHdrsNu92OV199FXa7He12G9evX8fW1haOj4+xtLSElZUVnD59mmvWlUqF\nFxExVR850Cdnz5XjfNGHtYlwHYlEwsBykXs8LOohzhEiSuHOzg7W1tYQj8chkUjg9/uxvLyMiYkJ\n6HQ6ZDIZhMNhVuYplUrw+XxYWlrChQsXYDKZuPmysbGBvb09FIvFgdRwYmICJ06cQCAQ4AFj1Iih\noWSVSgXFYpG7+h6Ph6FDVIogp0nQItH5UUPMYrEMzCai8RgELyK9zHQ6zQ6LuuTESaeJnIFAAFNT\nUxgfH4fJZBrAkFIzbG9vD/v7+4hEIuj3+zCbzZibm8PS0hJ8Ph8KhQJ2d3exsbHBFFWNRoPl5WUs\nLS1hYWGB1aeIXimRSDA1NYWlpSVMTk7i9u3buHPnDtbX1/Hqq68iEAig2+3i5s2bSCaTmJ+fZ6Wk\nQqGA1dVVvPfee2g2mxgfH8drr72Gqakp2Gy2gbLHcK2T6ucje7w2cpzP2MRaJTkLiqQo5RThJQSK\nH+a1F4tFHB8fM5C6Wq3C7/cjGAxiYmICer0erVYLBwcHWF9fx87ODvL5PKxWK4LBIBYWFuByuaDR\naBCNRnFwcIB4PI5qtQqJRDIwvZHKAnK5nAUuNjY2GH9JUavD4RjQkNTr9Yx5JKpntVplqikJHdOs\nI4I2UQ200WhwN5/k5cQUn5wv1YSJAJDP51nPs1AoDIDlqcwxPT2NqakpBINBdLvdAWGOaDSKZDIJ\ns9kMn8+H6elpOBwOaDQa5PN5RKNRbG5uotFoQK/XIxAIwO/3w2q1QiaTIZ1OIx6PIx6PQ6vVwuv1\nwmq1cvRqsVjg8XgQDAaxvb2Nzc1NJBIJjI+P4+TJkzh79ixarRZ2dnZw5coV1Ot1BAIBnD59GhMT\nE5yVABggD4zsydkTaQ51u12cPXsWY2Nj+MlPfoJcLoevf/3riEajCD5ipvqLbCJVjiAlhNmj6FKE\nmYgKOFT7pNSXZgRZLBaMj48jFArB6XRCo9Egl8vh6OgIu7u7zEIheiANBatWq6y1SakwzRx3uVzw\n+Xyw2WzcnSYBXwJ1k8IQURjpRfXZdDrNECXCG4q1XOpoU8NHfI9QAhRFUUpMyktUF6XokZw7NbMI\nbE/SdgRKp2Pq9XosGEwD5ohbLlInE4kEqtUqA9gtFgtmZ2dhsVh4HMfW1hby+TzGxsYwOTkJp9PJ\nUKhUKoWDgwPUajWoVCpuIFmtVthsNoRCIXS7XWQyGdby1Gq1CAaDmJ+f5ymiVMYgosJwWj6KNJ+d\n/dIR5/e//32srq6iXC7jxz/+Mb7zne/AbrfjO9/5Dr73ve8hn8/ju9/97uDOXtCIU8TbEbRIhBcB\nGJg+KYpgiO8T3lIikcBqtcLj8UClUqFSqSASiTCusFAo8KiHhYUFVtzZ29vD3bt3sbq6imazCafT\niYsXL2JxcRHj4+Os6dloNLC/v8+Nknq9DqPRiEAggJmZGe6eV6tVlEolFItFlqqLRCIMbfJ4PHA6\nnSxITDxwAAMNL6JTUsRIsCeVSsWq7aR4RGk71VdptjqB36keS4ryFFHu7u7yYtFutzE+Po75+Xmc\nOXMGNpsNWq0W3W4Xt2/fxrVr13D16lVIpVL4/X688sorWF5eRigUQjabxdraGn7yk58gnU5DqVRi\neXkZp0+fxvz8PPR6PW7duoV3330XhUIBVqsVJ06cgM/ng91uh06nYzHm//qv/+IRHWfOnMGrr76K\nV199Fa1WC4lEAltbWzxxk6Be9FsZddWfvD32VD0ej+P3fu/38Kd/+qf4/ve/j5/85CeYm5vD+++/\nD5fLhUQigS984QvY3Nwc3JlEgrfffpsjigsXLuDixYu/3Fn9LzSRQgmAIUH0IADgZgsB4gEwxpEa\nRlKplOmB0WgUh4eHSCQSMBqN8Hg8mJmZYRHeZDKJSCSCSCSCbDbLOplUA3Q6nUxNTKfTnFYTJVGv\n1w8IKzcaDaZhEmgeAIxGIw8/IxwmpdMUcZKzo4g0l8txp56k3ejcqKFEJQ6RMUWMKGr4UCOm1WpB\nqVTCbrdjcnISHo+H999oNFAqlRCNRrG1tcXXwmQycbkjFApBLpejXC5jfX0d29vbiMfjUKvV8Pv9\nWFhYwMTEBJRKJVKpFFZXV7G1tYVcLgeLxYKJiQmcP38eVqsV3W4XW1tbiMfjyGazkMvlfH/m5+fh\ndDqRzWZZXq5UKmFsbAynTp3C4uIiIw7onlOGQi8AI/bQY7YrV67g6tWr/O933nnn8abqf/iHf4i/\n/Mu/5IcGeDB32uVyAXggQ5ZMJh/53bfffvuFgyMBDzvrAAZScpF/LH5OvEaitiY1h2KxGLa2tpgV\nBAA2mw2Tk5OYmppCr9dDOp1mabNMJgONRgOPx8NOU6fToVarIRwOY29vD6VSCVKpdKCL7HA4uG5I\nkR8B3wkVQCk0wZOoJkkOi2ahkzxcrVZj+id9tlqtciZSrVZZzESEIonUU4rcdTodlzVI6YjIAIlE\nAlqtlhlFTqeT2UxU0yQpvUwmg1QqheB/j+pdXFxk6FU8HsfR0REry5N+aa/Xg1arxZ07d5DL5XDv\n3j1IJBKcOHECU1NTmJqa4umjFDkfHByg2+1iZWUFfr+fyQDXrl1DMpnExx9/DIVCgcXFRfj9fkYF\n0JhjwvKKoh8j5/l47OLFiwOB3DvvvPOpn/3MjvOnP/0py/6/9957j/zMSLXlkyZGjWLKRRGkKI8m\nXjuRp1ypVJBKpXDjxg3s7Ozg+PiYMYxzc3MIBAIwGAzI5XLY2trC/fv3EQ6HoVQq4fV6cebMGa6J\nHh0dYWNjA+vr69jY2EA+n4fP58P8/DwWFxcRCoWgUChQKpWwtraGu3fvYmNjAyaTCW63G5OTk5id\nnUUwGIROp0OhUGDnkEgkkEqlWMyD6o0EzSH2j9Pp5OaPQqFg+BJhLSnyFmvABGYnRSan04mJiQmc\nPXsWpVKJ5wltbGzg+PgYEokEDocDY2NjCAQCmJycZGWj4+NjbGxsYG1tDaurq/iP//gPTE9P4/Tp\n03jllVdw8eJFfP7zn8fa2hquXr2Kjz/+GOFwGFNTU/jiF7+Iubk5nDhxAsvLy/j4449x69YtfPjh\nhzg4OMCZM2dw8eJFvPTSS1hcXMTly5dx/fp13L59m/Gtb731FqanpzE2NgalUonLly/j7t27fM/H\nxsY44s9kMozEoOxkVON8dvaZU/U/+ZM/wd///d9z4b5UKuE3f/M3cf36dbz33nvMsnj99dcfmaq/\nqDVOsmH4iIjvFGmZBOOhZkc0GkU0GkU8HkehUIBKpYLT6eR0W6/XI5vNIhaL4f79+6jValAoFPD5\nfPD7/fD5fFCr1SgWi9jf38fu7i7S6TQ6nQ5jOmn+jVwuRy6XY2B9o9FglhGNgrBYLCzmkclkWNKN\nUAPUcCFhDko5VSoVN3wAcKmCmj60TSopEFmAHLDYcKKXQqHgcRhUXkin0zg+PuZjopoqCX/4/X7Y\n7Xbo9XpWNVpfX0c6nUav10MwGMTy8jIWFhagUqlweHiItbU1niukVquxvLyM2dlZeL1eru/euXOH\nKZ+Li4uYnZ1FKBRCtVpFNBrFxx9/jFgsBgDMX5+dnUU2m8Xq6io+/PBDtFotjI+P4/Of/zyC/y0M\nQtJyNCZZnAgwcp5Pxv6nGqfsz/7sz/7ss2zsS1/6Ev7oj/4I3/72t3nV/ud//mccHBxge3sbr776\nKv72b/8WwWAQv/Zrvzbw3T//8z/HN7/5zRc2IhVFaAnoLf7wh2esE0WSlHR2d3eRyWRgMpkwNTWF\nU6dOMQypVCpha2sL9+7dw87ODpRKJQKBAM6cOYOJiQlW/bl//z7rRvZ6Pfh8Ppw4cQKLi4uw2+1o\ntVosDkLgehHOND4+zgPIYrEYtre3sbe3h+PjY5RKJSgUCpjNZlZEFzU5qXtOA97IgRJUia5Ft9uF\nSqWC2WweYBwRFInmDxHsiYSYyWkTN93hcDA3nUochBQgADxRMIkZRAsVpfDdbpfrty6Xi/nrND20\n0WjAarXy/qgRR8LH1WqVBUA8Hg8sFgvK5TKSySSy2Syk0gcjjF0uF7RaLQAwAaHZbPKCQKLQxOIS\nufIjezL2zjvv4NPc46+E43z//ffxV3/1V/jxj3+MXC6Hr33tazg4OPhUONKLGnECD50ipZ6kzUkK\n66RBSRCdXq+HfD6PtbU13LlzB3t7ezzu9syZM6wSTkD31dVVxONxtNtt+P1+rKysYG5uDnq9HrFY\nDHfu3MHa2hoSiQRarRbOnTuHM2fO4OTJk5BIJFyju3//PiKRCLrdLoLBIE6ePInl5WXo9XoUi0VE\nIhHs7e0hHA7j+PgYrVaLMY00epgcACn9UGebZruLIH+Rf01OkkZaKBSKgUYZwaqIx03UTgLUEwxL\nLpezYAYhDzqdDqLRKO7fv4+7d+8imUwOiBaTKlI+n0csFsPm5ib29/eRzWYZT/nyyy+j1+shHA7j\n//2//4eNjQ1UKhVMTk5iZWUFS0tL8Hq92N/fx6VLl/Dhhx+iVqvB7/fjjTfewMWLFzEzM4N79+7h\n6tWruHTpEhQKBSYmJvDGG2/A7Xaj3W7j3XffxdbWForFIj73uc/h3LlzmJ2dZZV9sTY+cpxPzp4r\nAPyLSLkEHg5rE2mFNEOGapyUlhJQPp/PY29vD/F4HM1mE2NjYwwHarVaODo6wv7+Putmksr59PQ0\nS7nFYjFEIhHE43HIZDJYLBb4fD54PB4YDAYAQCwWQywW45qgXq+Hx+PhGeq1Wg3pdJrFM0hZ3WKx\nYGxsDHNzc3A6ncz3zmazSKfTAMCjg5PJJMOa3G43zGYzA/07nQ4rvZPwBzV/xCmger0eBoMBKpWK\nZwiJKkw0wTORSAB4MIOIAP0OhwM6nY4l5e7fv4/Dw0M+D5oJRJ9rNBqIRqNMvTSbzZifn8fMzAw0\nGtmZzh8AACAASURBVA1SqRS2trawt7eHRCIBm82GqakpXLhwARqNBoVCAdevX2fm0ezsLC5cuIA3\n33wTEokEx8fH+PDDD1nWjhaomZkZvmfhcBizs7OsnERYWXFsxshxPjl77tSRXrSbLUZZYolCTNXF\nKFxUXdfr9Tyi1uPxwG63o1gsYmdnBzdu3MDR0RG63S7sdjs/2FarFUdHR9je3sbt27dRrVahVqv5\n74FAANlsFvF4fAD7qdVqMTMzg4WFBQQCAS4V3LhxA7u7u0gmk8zesVqtWFxcxPz8PHw+H4AHA+LI\nUSSTyQFUAKXfJMSh1+vR6/UGZupQFEVK72KaTrVNujbEP6cap9FohNfrhcfjgV6vx+bmJjY2NnBw\ncMCMneXlZbhcLhYc3tnZwfb2NqsoZTIZTExMYHJyEl6vl8H5V65cQTKZ5Amf1BSj9PxnP/sZixYr\nFArGfJJ+aC6XQyQSQa/Xg81mw9LSEoLBIJcoqPEmk8lgtVq5/krwLoquhyPMkbTcs7OROtJTMNFZ\ninx08YcvRpzFYhG1Wo2dDbF0Op0OcrkcPvroI9y7dw+RSAQOhwNzc3N45ZVX4HK50Gw2sba2ho2N\nDcTjcSgUClbjcTqdqNVq2Nvbw/Xr17G7u8sCx7Ozszh58iTPJSKVn9XVVeRyOWg0Gk7HiWlEEnDE\nlIlEIjg4OGBVdY/HwyOCLRYLUxOJfUOOkxwIlTJILarf77PiPNEsCYlATonqm8VikdlPbrcb+/v7\n2NjYwP3797lZEwqFcOrUKZw9e5aB6JVKBZlMBolEAgcHB0gmk2g0GvB4PAiFQggEAmg2mwiHw7h+\n/ToymQwsFgteeuklTE9PQ6lU4u7du7h+/Tq2t7eh1WqxsrKCl19+GdPT06hWq7hz5w5+9rOf4fj4\nGB6PB1/+8pdx7tw5GI1GJBIJbG5u4qOPPkKj0YDX68Wv//qvY3JyEv1+H/F4HJVKBUajkRWpiBQh\nMtJG9vjtuYs4X8TGkHjOpLlJzpMcJ8FuCDhO2pMKhQLlchmRSARbW1vY2NhAs9nk6HBiYgJWq5UH\nr21ubqLT6WB8fBzBYJBhLbFYDPv7+1hfX0exWOT0MxAIwOPxQKPRsIoSRVgymQxzc3PcdSdJt3a7\nzaNvabgaqajTHCKXy/WJyEmj0bDyu0wm48WCokpiE5FTFQez0WJC6lDkRKgEQbPWzWYzpqenedxG\nOBzG4eEhDg8PWa7u9OnTGBsbg8vl4qmYarUaTqeT5xURpGlqagputxsvvfQS1tfXkc1mce3aNVSr\nVUxMTGBmZgYKhQJWq5VLJ5cvX0a5XIbP58Py8jJKpRLu3LmDWCyGtbU1yOVynDlzhrUDSqUS7t27\nh83NTfh8PqhUKszPz3N0TaUPuVw+wJwaOc1nY0/dcb6IThN4mE4RH7vb7Q5ASoCH0CRyLiSNVqlU\nsLOzg9XVVayvr0MqlSIUCuHcuXOYn5+HQqHA/v4+rl69ykPbFhYWOGWs1WqIRCKsOJ5KpTA3N4fl\n5WWcO3cOcrkcpVIJ29vbCIfDiMfj6Pf7sNvtWFhYwMLCAmw2GwAwh50YOJlMBm63myFPZrMZvV6P\nu8nk2Ig/TphSYuCQ46QMhK4NCYGQunu1WkWtVuNpm61WizGabrcbXq8XUqkUzWaTnerMzAyn5pub\nm7h16xazqGi/wWCQcZW9Xg/j4+PQarXY2NjA9vY2bt26hWq1ihMnTuDMmTMwmUy4ffs2Ll++zFJ8\nb775Js6fP49QKIRLly5hfX0dV69eRTKZxPnz5znCVKvVKBQK2N/fR7vdhsFgwNLSEsbHx3Hu3DlU\nq1WEw2HcuXMHGo0Gk5OT3OkncD/x2l/U5+h5sZE60lO04eYQRQ3ESScGEcmwqVQq7O/v4+7du7hy\n5QrP41lcXORaZS6Xw/b2Nj766COudZ46dQo+nw8ajQbxeJyFdQGw+nkoFIJer+dU8v79+zg+PmZ8\n6Pz8PILBIFwuF88Vv3//PnK5HOr1OmQyGVwuF4LBIGZnZ2Gz2aBUKtnJr62t8eKg0+n4e0qlksHr\nBCsSRZsbjQZP8jSZTLBarTxpkjrxBKgnZ0rqSIVCgQVQFhYWMDU1xVM1SeT57t27uHz5MkvAvfHG\nG8yyWl9fh1qths1mg8fj4fOORqNQq9VMy5RIJAiHw7h79y6KxSJmZmZw4cIFzMzM4Pj4GJcvX8b7\n778PiUSCUCiEV155BdPT05DJZKx+FI1G4XA48Morr+Cll16CRqPB1tYWPvjgA0QiETidTnz5y1/G\n/Pw8TCYTcrkcGo0GAPC45Rep3PUs7LlL1V9Uo066qKNIjlSEmBBGMZVKYWNjA3fv3kU2m4XL5cL8\n/DzPpclmswxVarfbTPPz+/2oVCoIh8PY3NxEMpnkGt/U1BSr81B3eXd3F7lcDiaTiZ2D2+2GVCpl\naufBwQGOj48ZrE5MHK/Xy91qEk0Oh8PY399nED9xy8U5SxRVDo9KJlIFjQIpFossUkzKUnq9nptM\nBGonB0n4yGaziWw2yw01m83Gw9A6nQ7u3LmDaDSKDz74gLGwgUCAcaF03JOTk5BIJAxTksvlcLlc\nmJmZQa1W43nsRC8l3juJTB8dHeHatWvQaDSYm5vjWerkfG/fvg21Wo2VlRW4XC6cOnUKlUoFpVIJ\n169fZwFpu93OGqYi7XQUeT4be+qO80UtZlOEKUbaIhaPmDSEOSyXy9ja2sLNmzcRDofhcDhYQUel\nUiEcDuPy5cu4ceMGJBIJzp8/j8997nNwu90Ih8O4evUqrl69inw+D7/fj1OnTuHixYuw2WxotVq4\nfPkyrl27htu3b8NgMGBqagpf+tKXsLCwAKfTicPDQ6yuruLSpUuc/nu9XszOzmJpaQlLS0ssyEFc\n92g0OjDEzWw2s1Cz3+9ngDhxrgFwyiyKNhNlk/jjwENnq1AoEAwGGTtKM+T1ej1WV1dx+/Zt3L17\nFzs7O9jb24PT6cTCwgKWlpZY3ITUna5fv46f/vSneP3115mnvLe3h/v37+PGjRssDv2FL3wB8Xgc\nV65cwZ07d+DxePDFL34Rp06dglqtxo9+9CO8++672N/fx+/8zu9wPbTT6SASieDWrVscPX/pS1/i\nZt8//MM/IBKJoNVqwWg0IhgMYmlpCel0Gvfu3cPa2hrPbRcH7VGZYmTPzkap+lMwsXve7/fRbrcH\n6noE9qa/JRIJbvK0Wi2YTCacPn0ak5OTMJlMuH//Pq5fv45r165Bq9WyKg/NQ7958yZHTRRlkmAE\npdwHBwdotVpwOByYnZ1FIBCATqdjPjyByZvNJnO9CYKjVCpZHCQej3NXnDrher2eOelmsxlWq5VH\n/tI5UgOGcJj0faJd0ksUJxYFPEgwxGg0csmApkO2Wi2uUdJgNa1WC5fLhampKUxPT6PdbmN3dxfv\nv/8+Oy4qT+j1etYszWazWFlZwfj4OM9ETyQSkMlkWF5ehtlsZsZWKpViIHwwGMTu7i7W19extrYG\nrVaL+fl5vPXWWxgbG0Or1cL777+PGzduIBaLYWVlBefPn8epU6eQTqdx//59XLp0CX6/H/Pz84wP\npVIFgFHE+YRtlKo/ByampxRh0U2hbjo1NnZ2dhCJRJDP5zE5OYkTJ07g5MmT6PV6iMfjHCmm02lc\nvHgRExMTUCgU2N7extbWFhKJBLxeL6fuOp0OpVKJR2SQVBpt2+FwQCKR8CiJo6MjnmM+MTGBiYkJ\nWCwWZvIkEglWO69UKvD5/j97Z/LbeH5d+8N5nkWKpDiI1EBJ1DyWVFNPlY5hGwgQIwGShREggFcB\nAuQvyKq9DGLvAsPwzkCALLyIHXe5u2aVxpJEiaJISpQ4ifM8j2/R+V6rYiTvvX5OlfNaF6hFd0lV\nkkq6vL97z/mcIUq6ZI+47IDBdpos14gFwrEQNy6XS6APdkgSiUTkqmJaSsbxZKxKRmlqt9sUVMdW\nByzRUywWIxaLIRqNEnyE5bQzghGXy8XR0RGur6/x5s0b9Pt9AqaUSiVEIhEEg0HweDwMDAzAYrGg\n0+kgFArRTtjtdkMgEMDn8yEej9Nlf3h4mADNjG368uVL3L17F8PDw1hYWKDsqEAgQO9jNBrR7/cp\nXC4cDsPhcGBgYIDYpTfr1kH07ut24nxHxZpmtVolydHNMDZmsQyHwzg+PkaxWMTg4CAePnyIlZUV\nKBQKHBwc4PPPP8cvf/lLFItFGI1G/Omf/inMZjPC4TA2NzeRyWRItzk2NoZCoYCjoyNsb2/D7/dD\nIBCQw2VqagoWiwVHR0d4/fo1nj17hnw+D5lMRn/v1NQUOp0Ozs/P8fLlS1xfX9PjuNFoxPj4OO7e\nvYvR0VEMDg6i3+8TbCQSidBRI5/Pk7SGuY/YdMoC5tg0xVieQqGQgM0OhwMWiwUajQalUonyd9hx\nbGdnBzKZDHq9Hg6HAzabDSaTCVKpFGdnZ9ja2sLLly8Rj8fR7/fx3e9+Fx9++CFWVlawvb2NZ8+e\n4fPPP4dKpYLb7cZ3vvMdtNtt+Hw+ooC53W4sLS1BIBDg+PgYwWAQAoEAf/zHf0z213/+53+mSJPv\nfe97MJlMSKfT+Jd/+RccHx9DIBDg008/xf3792E2m7G3t4fHjx/jzZs3sFgs+OSTT7C+vk7ou9ev\nX6NcLmN2dhbD/468u8l6uClpu63fb/1BTZzfxH9g9jnzeDxIpVJ64bjpX2dHCS6XS5OK0+nE8PAw\nms0mgsEgXr16hf39fTQaDQwNDWFxcRE2mw0DAwMkFC+VSpBIJMhkMri4uEAqlaJHbvb24+PjFH72\n5MkTnJycIBQKQalUwuFwYHh4mKaovb09XF5e4urqCpFIBBqNBmNjY7Sz1Gq1EAqFuLy8JLH59fU1\n4vE4gTyYDInFRxiNRkrslEgklHwJ/BbkzCIuKpUKPTIz5Bqfz6c/R6PRwO12Q6vVEhyZ7YXZTlah\nUODu3bsYGBiA1+tFIBDA2dkZut0u6vU6dDod7t69i36/j7OzM5ydnVEDXVxcRK/Xw8nJCTY3N9Hp\ndDA2NoapqSmSef3rv/4rxsfHYTKZsLCwgJOTE3g8HigUCqyurmJxcRGrq6sAgP39fXi9XkilUgiF\nQtqH1ut1ZDIZPHnyBFwuF1NTU7BarQRfZsYCiUQCpVJJCoOb31+39e7q1nL5joo1y5uRGeyifpN6\nI5fLMTg4SL7zRqOBYDCInZ0dHB8fI5/Pw2g0YmpqCisrK9DpdGSD1Ov1hIRjQmzm8R4eHqYfbpVK\nRfR4n89HMqfh4WHYbDY6nrDpl+1DWWN1uVwYHR0l5w0jAbFfjOyjVCopC5zZE5mIXiqV0qP5zemJ\nz+dT02SgZQbyzeVyqNVq4HA4UKvVSKfTsNvtMBgMGBsbQy6XQyQSITsp+1jGxsZgs9mwtLREEcpe\nr5fwex999BFsNhs2NjbQ6XRweHiIN2/eQCKRED2qXq/D6/Xi9PQUHA6H0HS1Wg1HR0f01OBwOFCt\nVhEKhbC/vw+BQIDx8XEMDw+j0WggFoshm83i+PgYRqORXqTS6TS2trZwenoKpVIJkUhE0BQOh4PT\n01OCmTB97+1+8/3V7Y7zHdRNqjuAt/acjK/IUh0ZBYhJbTweD7a2tnB4eAgej0cknqmpKYyMjBDU\n4urqiq7b4XAYIpEIRqMRS0tLcLlcsFgshDt7/fo1gsEg8vk8hEIh5ufnMTU1BaPRiEajgevra7x+\n/Rqnp6eIx+MYHBzE3NwcPvroI1itVsjlclQqFRweHuLw8BAXFxcUd8H82OPj45icnITFYoFarX4r\nsfJm9AbjTLJpir3d0NAQaVH5fD5arRZxP8/PzxGPx+nRd3R0FA8ePMDQ0BBWVlbgdrvx4sULghP7\nfD7Mzs7i7t27mJmZodjg3d1dfPHFF+j1epQrdPfuXQiFQnzxxRd4/vw5NdaFhQXUajW8fv0a+/v7\nkMlkWFxchN1up53n69evYbfbMTs7C5FIhM8//xy7u7tQKBRYW1vD9PQ0ut0utre3EQ6H3zoazc/P\nI5vNwufz4eTkBFKpFBMTE9BqtZiYmIBQKES32/0dGvxN4Mdtvbu6bZzvoNhkwOQ27Bh083GdNQ4m\nDC+VSjg5OcH29jbOzs7A4/EwPj6O+fl5OBwOiEQihMNhnJ+f0y/Gf5RIJJiZmXkrniEej8Pj8ZD9\nkGkUJyYmYDabIZVKEYvFcHFxgWAwiEgkAqFQiOXlZUxOTsLpdEKv15NQ/OLiAvF4HLlcDkKhEFar\nFSqViqDIRqORLJHMf1+pVFAoFCgT/WZmDsPKCYXCt5xUBoOBAt+YEF6n0xGo+PLyEqlUCs+ePYPJ\nZILFYoHD4cDExAQkEgmJ9nd3dwGAXkSWlpYgkUjA5XKRTqfx+vVr4nMuLi4inU4jEolgd3cXAwMD\nsNvtuHPnDsmvtre3IZfLMT4+juXlZfR6PfLHj4yMYG5ujtQRz58/h1KpxMzMDDXgw8ND+Hw+soky\n+AdLKQ2Hwzg6OsLi4iIMBgPsdjsymQyBTZhl97beT902zndQNylITOjOZDeskbLHbZVKhUqlgouL\nC2xubiIYDKJWq2FsbAwLCwtYWlqix+j9/X2iGyWTSYL4Tk1N4c6dO5ieniZABYuHyOVyEAgE9Oex\ny+7l5SUODg7g9/uRSCSgVqvhcrloqmKADrYjvLy8pB94i8VCgA0Whdvv94kiz3aPLKo3nU6jXq9D\nq9VCIpHQ+oLBX5rNJv1iLh5GumexyEzkr1arEQwGEQwGcXl5CbPZjE6nA7vdjoWFBTqq+f1+7O7u\nUrYR8++LRCK8ePECfr8fvV4P9+7dg9PpxNraGlqtFg4ODrC/vw+hUIj19XXMzs6i2Wxie3sbHo8H\nYrEY09PTKBaLKJfL8Pv9kMlkcDgcmJ+fR7PZxJMnT2C1WmmXOjU1hVKphGfPnsHj8UAqleLDDz/E\n6OgoPY4zbztTK+h0OjQaDcpXYgF4t/V+6vYr/w6KuTx4PB7EYjHlZTO3DJPkCAQCNJtNHB0dYW9v\nD8fHx1AoFFhYWMD6+jodjVgEw69+9SvSFFqtVrjdbkxMTMDhcEAsFhNQwuPxIBgMQiqVwuVyYWpq\nCgsLCwTO3dzcpIu5RCLB2NgY7t+/T2mZV1dXOD09pcbb7/dhNBoxPT2NiYkJDAwMEJij0+nQ/jAc\nDqNUKhEqjrl92J7RbrdDo9G8xeBkj/L5fB7X19dIJBKIxWIIhUIUpzE9PU17Q7PZjEgkgu3tbUqm\njMfjWFhYoOgLs9mM8fFxvHr1Cm/evEEsFsODBw8wOjqK+/fvo9vtYmtrC3t7e3R8mp6eRqfTocgL\noVAIvV4Pq9VKgXLxeBwvXrwgQr5UKsUvf/lL+Hw+SCQSjIyMoNFoEGqP7ZoHBwexuLiIUCiERCKB\nZ8+eUW7U/fv30Wg0cHR0hFAohFAoRH58uVxO31PsRff2qv5+6v86OuP/pf7+7/+eUi6/aYvtm2mW\nDFYBgGyEAoEAxWIRPp8PW1tbCIVC1CQWFhbIJhkOh7G3t4f9/X2cnZ1BKpVibGwM9+7dw8LCAoaH\nh8Hj8XBxcYG9vT0cHR0hn89DLpdjaWkJKysrmJ2dJRLS5uYmDg4OkM1modfrMT09jdXVVczMzEAo\nFCIajWJ3d5e87Gq1miRI09PTsFgsEIvFaDQaSKfT8Pl8RPmpVqvEEx0bG8P4+DhGR0fhdDphsVig\nUqko6pYVI+CzVEpml5TJZABAYnjmTZdKpZDL5eSVB0C/n8vlIBKJaCru9/tEmWJff4bRA0Afc6vV\ngtVqhVQqhUgkout+uVyGQqGgiz6L4mD+eJbuyiyTzFTA4XCQTqdRLBbfShGVy+Wo1+sk0pdIJLBY\nLARwTiQS9ILKNJxs18m+b76JP0vvqv6r6IxbOtI7qJtNk8XlNhoNCijjcDhot9uIRqN48uQJ/H4/\neDwe7t+/T8mUvV4PPp8POzs75DZhEREsjVEqlaJSqVCu0MHBAer1OoaHh7G4uIh79+7BarVCIBDg\nzZs3eP36Nb744gvw+XyYzWYsLy9jZmYGw8PD6Ha7ODk5wYsXL+DxeFCv1zEwMIC5uTksLS1haWmJ\ncGzpdBqxWIzCylgI3MjICKanp7G2tgatVku5Oc1mE+VyGYlEApVKBc1mE71ej+DELJqYpWkCX+k1\nr66uyI0TiURweHiIQqGAubk5jI6OEsl9a2sLHo+H6OqPHj3C2toa7t27BwBkgyyVSlAoFLQ7fvPm\nDQKBALa2tkiFsLS0hHw+j5OTE7x69QoCgQBra2t48OABKpUKXr16hYODA6jVaoKjMH5APB6Hw+HA\nhx9+iHQ6Db/fjydPnkAsFmNjYwMff/wxOBwOMpkM9vb2wOVyyUzQbrcRiUSQz+cRDAaJHyCRSMg1\ndVvvr975xPlNDGtjMA8WUsZoSGya6Pf78Pl8NEkaDAbMz8/j/v37GBoaQrfbxfHxMTY3N+kiKxaL\nMTMzg08++QTLy8swGo24vLzE69ev8etf/xrBYBD9fh8zMzO4d+8eNjY2oNFokEqlsLW1hS+//BIn\nJyfo9/tYXl7GBx98gLW1NcjlciSTSTx//hwvX77E6ekpsSE/+eQTgh0zCMWXX36Jly9f4vDwEJeX\nl2g2m3A6nfjoo49w//59TE9PE7D35OQEOzs7ePHiBXZ2dpBKpSASiTA4OIhqtYrr62vanzJ1QKFQ\nQKfTgVgshtFoxMjICEwmE2QyGer1OiVZVqtVaDQaWK1WOJ1OCAQCNBoNRKNRkkfp9XpoNBqoVCp6\nv+vra9qj2u12NBoNciYxBB7Lbr+8vES5XAYACsATiUTwer1oNpvg8XiYnJxEr9dDJBJBo9GAVCrF\n0tISyuUyKpUKEokE5cHb7XaIxWJwuVxcXl5SuufAwADRoBKJBIrFIrRaLQXPtdttAL+VuH2Tfpbe\nZf1XE+dt43wHxaZN5r9mtkKBQIBOp4NSqUQszXa7jcXFRSwvL8PpdKLX6yEWi9ExgkmNXC4X7t69\ni7m5OWoEOzs7JFiXy+UYGxvDxsYG3G43DAYDotEoDg4O8OrVK0SjUYhEIszNzeHOnTuYnJyEWCxG\nKBTCzs4OdnZ2kEgkIBQK4Xa7MT8/D7fbjX6/j1gsRm9zenqKQqEAPp+PgYEBOJ1OitRggvxgMAiP\nx0Num0AgQMxP9ojLwuukUil9XQqFAiqVCj12N5tNiilWq9UYGBig1UcikaDMdZvNRkAM1gQZo1On\n08Fms6FYLNIUyyySLpcLvV4PlUoF4XAY/X4fCoUCer0ePB4P5XIZmUwGzWaTJky5XI5QKESJl7Oz\ns/RozmhSExMTtP+NxWLkNR/+90x6ZpfN5/OoVCqwWq3UKDOZDHn6FQoFVCoVxUfflLjd1u+//qAe\n1b+JdCT2+bLmwHaabOcWi8VI3D45OYmVlRWiD8ViMUpmjEQi6Ha7GB0dxerqKu7duwe5XI54PI4n\nT55gc3MT0WgUarUa8/PzWF1dxdzcHEQiEbLZLHZ2drC1tQWv1wubzYaZmRl85zvfgcViAQB4vV48\ne/YML168QLFYhMlkwvT0ND788EO6rDM26NbWFmq1GsRiMUZHR+F2uyk+WCqVkpDc6/XC5/OhUCiQ\nnZJN3WxvyC7sIyMjUKvVhKZjfvxgMIh6vU4X9aWlJUxOTuLu3bvw+/3Y2trC559/jkKhgFwuR4/M\nBoMB5XKZvP3M9/7BBx/g/v37lHzJhOpTU1OYm5tDr9dDIBCgHKBvf/vbcDgc6PV6+MUvfoFwOIyn\nT59Cp9NhaGgI09PTePXqFc7OzpDNZiGRSOBwOBAIBBAMBuH1euntAoEA/XvPzc3B5XJRdHAqlYLP\n50MkEsHQ0BAsFgtcLhdarRYCgQD0ej0GBwcpQuSbNHz8odV72XF+0/7Bb37O7XYbjUYDXC4XMpkM\n8XgcL1++RL1eh9VqxcbGBgwGA8F3PR4PNjc3EYlEIJPJ4HK5cO/ePbjdbshkMpycnGB3dxfPnz9H\ns9mEw+HA/fv3KRq3Uqng+PiYhPSVSgXT09O4c+cO3G43lEolsSNfvHiBYDAIPp+Pjz/+mGDJGo0G\nV1dXFGt7eXkJAJiYmKCsoqGhIXrMZ4erRCKBbrdLQnx24GDEo2KxiGq1iqdPn0IsFtMUNzg4iMHB\nQXzyySfE54zH48hmsygUCvj888/h9Xrhcrlgs9kwNTX1VuhZt9vFysoK2VKz2Szi8ThOT08hl8sh\nlUqhVqsxNzdHrqfT01N88cUXGBsbo4Z1fn4Or9cLs9lMioXj42NUKhX4fD5cXFxQaB1D6p2ensLp\ndFJiZqFQwNOnT/HJJ5/Q39lsNskayvS0drsdV1dX5OZiXwOHw4FGo4FwOEwvihMTExCJRO/xO/q2\nvnbjLBQK+Ou//mucnJyAw+Hgpz/9KcbGxvDnf/7nuLq6wvB/kq1+W789kDUaDSSTSZyfn9ORYmpq\nChKJBMViEefn5zg+PsbFxQVEIhFpL2dmZiCTyRAOh7Gzs4ODgwOk02k4nU4sLCxgY2MDSqWSQLtv\n3rzB4eEhcrkchoaGcOfOHczPz0On0yGTySAQCBD/kcvlktjbbDYDAKLRKE5PT7Gzs4Pr62vKIZqa\nmiIkHQBkMhm8efMGJycnOD8/J7rS/Pw8nE4ndDodPXE0m00kk0mEw2HKAspms6hWq7SPVKvVlF1k\nMpnoABUMBnF2doZUKoXFxUVYrVYsLS2hXq/D5/Nhd3eX7JwWiwVOpxM+nw+ZTAZnZ2fQaDR4+PAh\n5aVvbm4il8thb28PEomEbJAsd+jw8JB2sVarFYlEAoeHhzg/P4fFYoHNZoPFYiEGqEqlwsTEBIaG\nhtBsNmlXyyZhFlNycXFBwXd2ux12u53y3E0mEyYnJ6FQKGAymaDRaCgumj3iA99M+/IfQn3tHecP\nfvADPHr0CD/5yU/wgx/8ACqVCp999hlmZmbw85//HPF4HI8fP8Ynn3xC78PkSN/E3QxrGBwODFg3\nUAAAIABJREFUB1KpFGKxGLlcDqenpzg7O8P8/DzRiJrNJkKhEL788kscHh5SuNjDhw9x7949aLVa\nhMNhPH78GC9evEAymYTRaMTDhw/x8OFDuFwuoiL95je/IXmTxWLBxsYGvvWtb9EP4vb2Nl2GC4UC\naThXV1fR7/fh9Xrxm9/8BpubmwTOWFtbw7e//W3MzMzAYDCgWq3i+PgYT548wePHjxEIBNDtdnH/\n/n18+umnePToEUwmE4RCIcmARCIRTCYTEdMZkq5cLiMej+Pi4gKXl5fodrsUvsbAxQCQSqVwdHSE\naDQKoVCIe/fuQafTodvtYnNzkyhUk5OT4HA4qNfrhJ9rtVoYGRkhR1I+n0c2m0UikYBMJsPAwABs\nNhuazSaurq4oI8hoNFJevdfrpZ2q2+1GuVxGKpXC9fU1FAoFnE4naS3L5TJsNhs1Xo1GAz6fT3Em\nbE0BAPF4HNfX1+h0OsQGZesNhsQbHx8nIv5t4/zvq9/7jrNYLOL58+f42c9+9tUf8u9xCr/4xS/w\n9OlTAMD3v/99fPDBB/jhD3/41vv++Mc/pkfXtbU13Llz5+t8CP+j6uaOUyQSEXfz4OAAlUoFi4uL\nZI8EvprwPB4P3rx5A6lUiunpaXzwwQdwOBwAvtpFbm9vY2dnB71eD2NjY1haWsLc3ByUSiWCwSD2\n9vawvb2N8/NziEQiLCws4MGDB3C73eByuUTw2dvbQyaTgUAgwNzcHFZWVjA6OopoNIrj42M8e/aM\npszl5WUsLi6S6D2fzyMWi+H09JQSLxll3eVy0eN5MBjE1dUVotEoMpkMZaGz9EuRSAStVkuJkeVy\nGel0GuFwGFdXV4jFYtjc3ITRaITBYMDs7CzFSfh8Png8HvzqV7/C+Pg4aUzZIUwqlVIOk1QqxeXl\nJTKZDI6Pj8Hn8zE6OkpOnt3dXcr7WV1dhdlshtVqRT6fpylzaWmJJsxCoUB57CqVCqOjo8hms2g0\nGqjX68TOTCQSyOVyKBaLpL0cHByE2+1GvV7H/v4+hoaGYDQasby8TPvaWCwGvV4PlUoFp9OJWCyG\nVCqFUqkEvV4PiUSCdrt92zx/T8V29/8n9bUaJ3Mz/NVf/RV9M/3DP/wDkskkTQRMDPwfiwngv0lB\nU8zZwSbtarWKaDSK8/NzSCQSzM7OwuFwQCaTIZvN4uzsDF6vF8lkEmtra1hfX8f8/Dy4XC4Bd5le\ncnR0lNIqtVotSqUSDg4OCNLB4/HocXl1dZU86bu7uzg8PMTV1RU0Gg1ZFEdHRyEQCHB4eIjXr1/j\n+PgYGo0Go6OjWFlZgcvlovAwFlXs8/lQr9epyU9PT2NychJCoZAejy8uLpBMJlGv18Hn8yGRSFAo\nFMDj8cDn84mhqdPpMDAwAK1WCy6XSxPY9fU1BgcH4XK5iDWqUChID/rll19CLBbDbrdjY2MDz58/\nh8/nw6tXr7C8vIy5uTmo1WoIBALKWrq5X8zn8/B6vUilUvD7/ZienoZWq8XY2BhJhS4uLijSd2Rk\nBF6vF9FoFPF4HEqlEjabDYeHh5TOyWJCcrkccrkcstks+v0+EexdLhc9mkejUQwODmJ+fh7Hx8eE\nk2MrDrPZDJPJhFqtRr5/Bne+rd9PsfgUVv/4j//4n77t12qcnU4H+/v7+PGPf4yVlRX87d/+7e9M\nlt/EI9B/VjcTLVutFgEkWq0WTCYTnE4n5HI5SqUSLi4usL29jUAgQGQct9sNhUKBSCSCo6Mj7O7u\nIpVKwWw2Y2VlBfPz87BarYjFYvB4PPjNb35DAW7r6+vY2NjA0tISeDwegsEgnjx5QntRpVKJlZUV\nLC0tweFwoFQqwePx4OnTp7i8vIRIJKLmzfaIoVCIGhPTJU5NTRF3UqfTod1u49mzZ9jb24PP54NS\nqSRUntFohFarRb/fx9XVFQKBANGOzGYzFhYWYLVasb6+Tg3r17/+NR1IisUiVldXMTs7i06nQ6mS\nMpkMGxsbuH//PsULswMMyzcvFAp4+fIl/H4/ut0uhoaG4HQ6MTU1hZOTEwrHm56epswhr9eLWCyG\nSqWCdruNgYEBuN1uJJNJivt1uVxkH63VaojH48Q9bTQayGQySCQSAIBgMIhms4kPPvgA+XyenjCY\ndGl+fh4+nw/BYBBut5sAKiwps1gsIpvNYmBg4PZn7D3V12qcFosFFosFKysrAIDvfe97+Oyzz2A0\nGpFIJGA0GnF9fQ2DwfB7/WD/p9bNaZPP50Mul8NsNkOj0cBgMECpVKLRaODq6grb29u4uLhAt9sl\n6rdYLEYikSCSe6FQIKfPwsICtFot4vE4CegjkQgkEgnGx8dx584djI2N0eP5/v4+ZYUbjUa43W6s\nrKxQwiPzyScSCWi1WjidTiwtLcFsNqNYLFIYmtfrRb/fp8dr5pFnDqdQKIS9vT2k02kYDAYsLS3B\n6XRS7DGTZWm1WhgMBqRSKZTLZSSTSfoasEz0kZERfPrpp/B6vQiFQjg/P6fjj9lsxtzcHKLRKK6v\nr7G/vw+HwwGDwYDFxUWi0B8dHWF4eBg6nQ4zMzPY3t5GPB7Hzs4ONBoNdDod5ubmkE6ncXFxgTdv\n3lC8iNVqRaFQQCaTQTgcJs85k05dXV3BarXCZDKR9jIQCMBqtUKtVpNdlsmuhEIhqtUq5cJbrVYk\nk0kkk0mi8ieTSRwcHBC45Gakxvn5OcUdMzbn7eP6u62vdaExGo2wWq3w+/0AgMePH8PtduO73/0u\n7T1/9rOf4U/+5E9+fx/p/wfFGqdGo4HD4aBHY/bYGgwGsb+/j3w+D5VKhdnZWQwODqLRaNC12OPx\nQCAQYGJiAvfu3cPw8DA6nQ48Hg+BLlqtFmw2G9bW1kggz2Jqd3Z2EIlEIJfLSQvJdqfM0nl0dAQu\nl4vx8XHcv38fTqcT/X6fLJjb29vI5/Mwm824e/cuHj16hIWFBahUKpyfn+P58+f4/PPPyTq6tLSE\nBw8eYH19HVarFUKhEI1GA3w+H3a7HXfv3sXKygrGx8ehUqlon7i1tYWLiwv0ej3Mzs4Snajb7ZI1\nksGDV1ZW0O12cXZ2ht3dXaKoj4+Po91uw+PxUNbS/Pw8NBoNyuUyPB4PEokE+Hw+xsfHYTQa0e12\ncXp6ilQqBblcThMfo+rncjmYTCZotVpwOBxEo1GUy2VIJBIS5V9dXaFYLEIikWBqago8Hg+NRoOi\njPl8PhqNBjQaDUZGRsg5VSgUoNfrodfrUavVaM/barVoYmf8VsYyvZ063319bTnSj370I/zlX/4l\nXSh/+tOfotvt4s/+7M/wk5/8hORItwVCprFdJ4P1Mkhvt9ulwK6rqytYLBbMzs7C5XJBKBQiEong\n+fPnODg4QD6fx507dzA3Nwez2Yzr62scHh7i6dOnCAQCaDabGBsbw507d7C2tgalUklRwvv7+0in\n01Cr1VhaWsLq6iqmpqYQCoVwcHCAly9fIhqNQiAQYHl5mX4/Ho+TJTQYDILL5WJtbQ0ff/wxFhYW\nAIBo8S9evCC7IYslZpG4l5eXePr0Kfx+P8rlMsbHx4lixNxG1WqV3EV+vx9ffvkljo+PsbCwAKfT\niUePHkGlUuHg4ADb29vQaDQYHx/H2toawuEwTk5O8Otf/xoajQbLy8tYWloi4rrX68Xi4iLGxsYw\nODhIR5toNAqTyUQUfdZUi8UiAMBut9PHzJqbVqvF0NAQNBoNcrkc8vk8AMDpdCKbzZJziPntj4+P\nUa1WUavVKHOKvfg4nU7s7e0hmUzi+PgYLpcLY2NjsNvtyOVyCAaDmJ+fJ3nW0NAQOBzOWympt/Vu\n62s3zrm5Oezs7PzO/3/8+PH/9n2/aa+QrGEyvzpzEEkkEvJbsz0aE7mzaZPtv1iAm16vx+joKEwm\nE7rdLjls/H4/Wq0WDAYDpqenMTo6SpPm8fExjo6OUC6XSfqysLAAm82GSqWCk5MTbG1t0bGK6UGt\nVitarRbOzs5wcHCAs7Mzuprfu3cPExMTkEql9DGwP4Ndq2dnZzE+Pk7idOaAarfb1ASEQiGKxSKa\nzSYFsCkUCoyNjUGlUiEYDBJ6rdFoYHp6GiMjIxST4fV6wefzcf/+fYq42Nvbg9/vx9DQEBwOB0ZG\nRhAOhxEMBqFSqaBUKmmtFA6HcX19jXQ6jampKSLPn5ycIJPJIJlMQqvVUsZSpVIhAhJrYtfX10il\nUkin01AoFJBKpWi326jX6+h2u5DJZIQRZLlSPB4P0WiU/PVmsxnZbBYXFxdwu92w2WyYn5/H+fk5\nIfbkcjmRlViK5zdN1veHUu/8q/5Na5rAb73qzDHDcsi5XC4KhQJOT09xfHyMbDZL0QsTExMUb3t0\ndEREdpfLRcckpgM9PT1FJpOhhjM3N0f6So/HQwAOZo9cX1/H5OQkpFIp/H4/idbL5TIGBwexsLDw\nlnf94OCAgthsNhvW19exsrICpVJJV/7Xr1/j8PAQ9XodQ0NDuHv3Lonow+Ewnjx5gi+//BLpdJq0\noEzIz0jrL168wOvXr+nw8eDBA8zNzUEmk+HNmzd4+fIlvF4v5HI5HA4H7HY7wuEwfD4fGo0GcUZ5\nPB7Oz89xenoKjUaDiYkJOJ1Ocg+xOBCW55NMJinql+0T+Xw+7TtZ/s/IyAja7TZd+dklncPhIJVK\nIRKJUAgde5FkvFWWI18qlYh2z+hHLO+J2WdbrRYGBgawtLQEvV5P++9UKoVWq0V59Sxq5XbifPd1\n61V/B3Xz8+Xz+eQ1rtVqCAaDePbsGUKhEDQaDdbW1jAxMUFX9LOzM4TDYSiVSrjdbqyvr1O2dzAY\nhN/vRzabhU6nw9LSEh2D8vk8fD4fnj17Rj/QDJM2Pz8PHo9H8bORSITyjGZmZgh2wT42n89HCDan\n04nR0VHI5XIEg0Hs7u7i5cuXuLq6AofDIWjI+vo6ZfE8e/YM5+fnkMvl+Oijj0jSdHl5SXHDLFaE\n+ccHBwextraGsbExaDQaohb927/9G/h8PgYHB/Hhhx9Squbz58+xvr6OiYkJzM7OIp1Ow+PxYHV1\nFVarFQ8ePMCvfvUrFAoFnJ2dYXx8nB6hI5EIxGIxZmdnIZVK4XA4oFKpUCgU4PV6ias5NjZGB69g\nMEh6Tq1Wi3a7jUwmA4fDQZny6XSa4o0NBgMqlQoqlQopCjweD2KxGAGZs9ks7TSlUilBj8vlMq6u\nrogEz1xDt3i591e3c/47LEaAZ3vNfD6PfD6PZrNJF+ypqSmo1WqUSiWaFDudDkZHR7GwsIDp6WmK\nztje3sbl5SV6vR6BNoaHh9Fut3F1dYWjoyOcn5+j3W7DYrHA7XZjdHQUCoUCiUSCgMPlcpnicEdG\nRqBUKkn69ObNG6RSKQiFQjidTgwNDUEsFtM+bnd3F36/H+12G3a7ndxPUqmURPSBQIDiOlZXV6HV\napFOp8nPzuFwoFAooNPpoNfr0ev1aHdbKpWg0+ngdrshFotxeXkJv9+PZrOJ0dFR2Gw2dDod2s+y\n449EIkE0GsXZ2Rl9ffR6PUWJ9Ho9yhLqdDqIRqO4uLhAp9MhvzzDw6XTaQCgw1Y+n8f5+Tm63S5l\nLLE8eQCQyWRQKpXIZDLI5XJkm1QoFIjFYuj3+1Cr1ej1ehRAx1JAeTweYrEY0uk0VCoVDAYDVCoV\nRS2zYLtbyMf7rdvG+Q6KyZFY4wRAuzLW1JaWlrC8vAyHw0H6xs3NTcTjcSgUCiwuLmJxcfEtreWT\nJ09wfX0NmUyGmZkZEoWHQiECXhSLRahUKkxPT2N2dhZms5kskky6xEAcc3NzsFgsaLfb5F0PhUJo\nNpsYGBjA/Pw8XXsPDw8pIzybzUKtVmNhYYHYoOl0Gru7u6QSsNlsWF5exsjICNLpNJ49e4bDw0M0\nm02MjIzA6XRifHycPg+BQEBUo3w+T3pGdlFPpVJQKpVkP2RqgGKxiJmZGZrUdnZ2kEwmCV8HfGXg\nKBaLkEqlmJqaglKpRKlUQiAQoMnaYrFAJBIhnU4jkUiQ5VIsFqNSqeD8/Bz1eh0qlQpmsxk8Hg+5\nXA6tVgsymQwGgwHZbBbZbBYymQxmsxkKhYIypBhdvlgsEsBFr9cTKIVForAmzholi5i+lSC937pt\nnO+w+v0+Wq0WIpEIdnZ2iIvJqDmMeHRxcUEZ28BX3MbR0VGIRCJcXl5iZ2cHXq8XpVIJSqWSQBNS\nqRTFYhEnJyeEODMYDHC5XJiYmIBOp6NYX0Y7b7Va0Ol0GB4ehslkQrvdRigUgt/vp2lpcnISq6ur\nWF1dhVAopChcv9+ParVK0/LY2BhEIhH5yM/Ozt7C01ksFpyenuLVq1fweDzQ6XQYHR3F0NAQwuHw\nW+AMNmEyeVGv1yNIMYvRDQQC5OKRSCS01+RyuXA6nXA6nbi8vMTp6SnS6TRGRkZgsVjIldNoNLC8\nvAyXywWpVAqfz4doNIpOpwOz2QyVSkV0Ji6XC5vNhuHhYZJM5fN59Pt9ig/JZrMIBoNoNBqw2+2Q\ny+XodDrIZrMQCAQQCASUo9RsNmGz2SCRSJDL5VCtViEQCGAwGFCr1Shqw2g0YnR0FGKxGKlUCsFg\nEMVikWDGt/V+6rZxvoO6GZ3Bss29Xi+CwSBKpRJUKhXsdjt0Oh0di05OTlAsFqFWq+mKXqvVSKAe\ni8Vo77m4uEhay1gsRo4eLpeL6elpohP1+31Eo1Hs7+8jEAigWCxCo9FgbGyMLuSsKV1dXaFarZJj\nZXJyEjabDY1GA5eXl0QbYnbJ0dFRDA4OkhXz6OiIpq3JyUm4XC4olUp4vV6cnZ2hUCgQc1IqlSKV\nShHYQyKRwGg00v9nkA3WJBuNBi4uLkjTyuImcrkcQqEQyuUy9Ho97HY7ubEuLy8p9Kzf7+P6+hql\nUgkWi4XE7GzfyuFw3tpdplIpsjg6HA6YTCbU63Xk83nU63UKUqvVaohEImg2mxgaGoJMJkOr1cL1\n9TUEAgEBQorFIkWaKBQKih9hj/7NZpOAIUwiBYBkYWyyvXXnvb+6bZzvoNg3eKfTId0ge1wEQGTv\nTqdD7h52TBkZGcH4+DhkMhmi0SiePXuG/f19VKtVzMzM4Nvf/ja+9a1vYXx8nDBygUAA9XodZrMZ\nH3/8Me7evQuLxYJMJgOPx4Pd3V26Ik9OTuLOnTuYnZ1Fu93GxcUFjo6OiKXJxPpDQ0MQCATUyJLJ\nJDqdDvR6PRYWFuByuSCTyeD1erG5uYmjoyPweDyMjo5iY2ODRPZHR0ekAGA+7GaziVKpRJi5RqMB\noVBIE1upVCKQsdPpBI/Ho6m9XC5TJjnwVXMJh8OQSCSw2+0QCASIx+Pwer0QiUSUsJnNZpFKpcDj\n8WA0Gim+o16vg8fjwWazQa/Xo9vtEmiEie1HRkbA5/NJvzkwMED4RDZN6vV6SKVSuojz+Xzo9Xpo\ntVq0Wi3U63U4nU5oNBqUSiVcXl6iUqlAr9ej0+nQC0mr1YJQKCRi1vHxMdLpNBqNxm3TfI912zj/\nm+umT71eryMejyOXyxHTcnFxEZOTk2i1Wjg9PcWTJ0+QSCQwMDCAjz/+GPfv34fL5UKn00EymUQ8\nHgeHw4HVaqXHTHbsOTs7w9nZGfL5PB1cpFIparUaLi4usL+/j+PjYySTSbraTk9Pv3U0YTAOAMSP\ntNls4PP5uLi4wNnZGa6urtBsNmG327G+vo61tTWo1WpEo1G8efOGgBx3797FgwcPaNpluzuWq6NW\nq8HlclEul1Gr1VCpVEjTyePxoFKpIBAIUK/XidnJLJo8Hg/JZBLpdBq9Xo+sqeVyGaFQCMBX1uDR\n0VEAX/nD2eel1+sp7TIQCEAmkxHjMpVKERaP6TQrlQqurq5wfn4OAJDL5ZQbz6Zulg/PsHkajYYO\nQMz5o1arYbfbSdIEgKyn9XodXC4XAwMD5HcPBoN0cNLpdODz+dTcWXzGbb2fum2c76DYY3q9Xkcu\nlyMBOCOoDw4OIpPJ4OTkBAcHB+h0OnA6nXj48CFR2pPJJGKxGEX9sqan0+lQr9fp8Z4dc+RyOQwG\nA0QiEZF/WPpivV6HXq+Hy+XC5OQkJBIJRfuGw2GK9bXZbJicnIRWq0WtVsPJyQkCgQCSyeRb1CWL\nxYJmswm/349QKIRut0uHHpvNRpBixsMUCARQqVQUSNZqtdBsNukXuxxrNBrK+gmHw6hUKpDL5ZT2\nWCwWkU6n0Wq1iEDfarWQTCbR7XbJosjn85FKpSgbicm54vE4zs7OIBAIYLFYoNPpiOJeLpfJDtnt\ndpFIJBAKhcDhcCjWuFAoIJVKAQDFFDcaDXQ6HYhEIiiVSnC5XCSTSZqiDQYD7T37/T7tPpkxgsmN\n2u02wuEwoehMJhPkcjm63S4xRW8b5/ur28b5Dqrf76PT6aDdbqPT6UCpVGJ4eBgOhwMajQbVahUn\nJyc4OTlBLpd7C+ChUChwfX1NdsebRCWLxYJWq4VgMIjnz5/j6OiIAsKGhoYwMjICsViMdDqNo6Mj\n+Hw+ZLNZyOVyjI+PY3Z2FiMjI2g2mzg7O8Px8TFJj6xWKyYmJjAxMQEOh0MidTZtsoMS0x+yFUO3\n28Xw8DDW1tboiMISNXO5HGQyGWQyGYRCITlo+Hw+er0egK8mMJFIREBhLpdLtkN2ZGFE9Ha7jXQ6\njXq9TrId5oNnJgOJRAKhUEjOLXaJF4vFKBQKCAQC6PV6BBRhTirm4pqenoZcLke5XEY0GqX9q06n\nQ7VapYs7c/S0Wi1UKhW6rovFYpqmm80mBAIBut0uGo0GALwlmOfxeFAqlVAoFAC+gjXX63Wi0uv1\nevD5fAqxu633V+/FOfRNfKXkcDgQiUQwGAwkvdFoNJRfwxwtfD4fJpMJFosFQqEQ8XiciEb5fB6D\ng4OYmprC8PAwuU88Hg88Hg+y2SykUinGxsZIyM6o6slkEqVSiaYrpskUCoXIZrPkTOFyuTCbzZiY\nmMDIyAg0Gg0KhQLC4TAdPjQaDSYnJ2GxWMDlchEIBHB2doZ0Og2dTgej0QihUIizszPKOM/lcgC+\nahTM7cJkNb1eD/1+n6ZMmUwGkUgEHo8HHo9HufO9Xo8AyAyUwZxYarWahOfVapWYlcyS2Gg0EIvF\n6HCj1WrR6XRwfn6OSqUCpVJJURXMztntdmGxWOiRO5VKod1uQ6VSYXx8HAKBAPl8HuVymSRH/X6f\nSEqsKbZaLQqlE4vFNDXW63WIRCJoNBrUajX6b0a6Z0241+vBYrFgZGQEZrMZtVoN5XIZrVaLpG63\n9W7rduJ8R8WmHzYtOp1OSCQSZLNZHB0dIRgMkpfcYrFAr9ej1Wrh/PycruD9fp+E7kyn6Pf7cXJy\ngkgkQtfghYUFuN1umEwmVKtVpFIpZDIZ9Ho9YnyywwSLqohGo6jVanRFZ/Ihlu3NGiu7Ys/OzsJg\nMFDOD5P3DA0NYWBgALVaDcfHxzg8PEQ2m0W326Vkz5uNksPhvPV4zhogj8cju6JAICBICp/Ph0Kh\noEgJNl2yEDYul4tKpfI7xPVGo4FIJIJKpYLBwUGYzWZIJBISm98UyTNBfL1eh06ng0ajAZfLRSaT\nQblchlAopGm+XC4TtNhkMtEeMpvNEo+g2WyiWCwSHYnBrFl2OyNglctlatbsa18oFOj7gtlMO50O\nZTPd1vupd944v0mWS/a5sqmATVSDg4N0sWVRsZlMhvLSx8bGKJri/PwcwWCQHoE3NjYwOjqKXq8H\nj8dDzEaGRbt37x4ePnwIi8WCSqWCg4MDAlZoNBq43W48fPiQ2JkM3sukLyyvnfnIo9EogsEgIpEI\nqtUqyZdmZmYgEokoIbNcLkOhUJBdMZFIIBqNot1uw+12w2g0UnZOp9Mh62m73UY+n0er1aJoES6X\nS9g09nVjxeVyKW6Dw+GQo0YgEBBtqlgsIpPJENZNIpGg1+vR1K1QKAiEwpB9gUAAarUaJpMJKpWK\ndqLs34ztipmMSaPRQCAQoNlskoRJp9PRXpNlr8tkMlQqFWSzWbTbbXrBajabuLy8BIfDIcUBs48O\nDAyQXvT6+hp+vx+1Wg0DAwNwOBz0aN9qtW6xcu+pbifO/8Zi39CscQoEAoIzsGny9PQUV1dXkMlk\nmJiYwPr6OoaGhtBut3F2doZIJIJ2uw2Hw4HZ2VlMTU1BJBLh+voaOzs7JLi22WyYm5vD3NwcjEYj\nSqXSW5pP5pJZWlqiveXl5SURjer1Ov1gjoyMQCqVIpfL4fj4+C2njdVqJdE6E/Pncrm3VgwSiYQ0\njlKpFBMTEyS3Yo3zP8Yl9/t92neyplkul9Fut+lt2U6UqRSYjKlUKqHZbEIikUAmk6HT6dAkynaq\nAoEArVaL0G4GgwFWqxVyuRyxWAzn5+fgcrnQarXQ6XQolUooFovodDrQarVQKBSo1+v0d7GJt9Vq\nUY6SSqWCSqUipYBYLIZSqYRQKEStVkOr1aIXTbFYjEwmA+CrKz+DjTDTg8FgeOuiz9YoOp2O1hTd\nbvcbM4T8odVt43wHdbNxKhQKcDgcZDIZHBwc4PT0FIVCgeRF6+vrUKlUSKfTODw8JFTZ/Pw8Zmdn\nYbFYiFnJmiKDDjPkGpfLpabo8XhQKpVgMBiIfWkwGOjSvr29jWg0Cg6HQ6mTTJ50dXWFg4MDxGIx\n8nA7nc63hNs3r/DMfSQWi1EsFsHhcAhjJ5VK0Ww2yW/NdpudTocuxIzqfjN3nTVVRhRiv99oNFCr\n1agR1mo1SCQSKJXKtzKepFIp2RsBoFQqIRaLgc/nY2BggL4W7OilUChIRVAoFFCv1wk+3G63UavV\n0G63IZVKIRQK0el0kE6n0W63IZfLSc+Zz+fB5/OhVCrpkMX+fKYlrVar6Pf7NKWm02kcHx/T32m3\n2+miz3S1SqUSKpUKIpGIDmq39e7rtnG+g2I/xKwxMMmLx+NBsVikHHOWChmNRrGzs4Pj42NwuVy4\n3W6srq7CZDKhWCxSSFo0GkW/3ydepEqlQqvVwuXlJbxeL3w+Hz2uMtsmewxlB6lUKgWB9wC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6en6HQ6MBqNmJycRCAQgFKpxP7+PtbW1hCNRiGRSDA+Po6xsTEKHGNdo0KhgEqloqRGABgZGUG3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\nSCR47jsZf5fLBafTyfvW6/U86nh9fR2ZTAZWq5Vzq5ubm4jH4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