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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Initialization\n", | |
| "%matplotlib inline\n", | |
| "\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import pylab\n", | |
| "pylab.rcParams['figure.figsize'] = 12, 9\n", | |
| "\n", | |
| "\n", | |
| "import numpy as np\n", | |
| "from math import pi" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Helpers to make the code more readable\n", | |
| "X, Y = 0, 1\n", | |
| "\n", | |
| "def pt(x, y):\n", | |
| " return np.array([x, y])\n", | |
| "\n", | |
| "# Rectangle Dimensions (half-lengths of sides)\n", | |
| "r = pt(10.0, 2.5)\n", | |
| "\n", | |
| "# Ellipse Dimensions (rays of major axes)\n", | |
| "e = pt(40.0, 10.0)\n", | |
| "\n", | |
| "# Divisions in the rectangle, *segments* in each side (nx, ny), min (1, 1)\n", | |
| "n = [24, 6]\n", | |
| "\n", | |
| "# Total number of points in each\n", | |
| "num_pts = 2 * (n[X] + n[Y])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Rectangle discrete points (assume center is (0.0, 0.0))\n", | |
| "r_pts = np.empty((num_pts, 2), dtype=np.float64)\n", | |
| "\n", | |
| "# \"Right\" side, going up\n", | |
| "i0, i1 = 0, n[Y]\n", | |
| "r_pts[i0:i1, X] = r[X]\n", | |
| "r_pts[i0:i1, Y] = np.linspace(-r[Y], r[Y], n[Y])\n", | |
| "\n", | |
| "# \"Top\" side, going left\n", | |
| "i0, i1 = i1, i1 + n[X]\n", | |
| "r_pts[i0:i1, X] = np.linspace(r[X], -r[X], n[X])\n", | |
| "r_pts[i0:i1, Y] = r[Y]\n", | |
| "\n", | |
| "# \"Left\" side\n", | |
| "i0, i1 = i1, i1 + n[Y]\n", | |
| "r_pts[i0:i1, X] = -r[X]\n", | |
| "r_pts[i0:i1, Y] = np.linspace(r[Y], -r[Y], n[Y])\n", | |
| "\n", | |
| "# \"Bottom\" side\n", | |
| "i0, i1 = i1, i1 + n[X]\n", | |
| "r_pts[i0:i1, X] = np.linspace(-r[X], r[X], n[X])\n", | |
| "r_pts[i0:i1, Y] = -r[Y]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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wqj6ywGMBAMBK3PUZ3jse4AwvAABrcKszvN5pDQCAaIIXAIBoghcAgGiCFwCAaIIXAIBo\nghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIX\nAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCA\naIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiC\nFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcA\ngGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBo\nghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIX\nAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCA\naIIXAIBoghcAgGiCFwCAaIIXAIBoghcAgGiCFwCAaLHBu7+/P/USCOcYY5UcX6yS44tVOovHl+CF\nu+QYY5UcX6yS44tVOovHV2zwAgBAleAFACBcjzFWO6B7tQMAAODYGKNP37fy4AUAgCm5pAEAgGiC\nFwCAaHHB291PdPe/d/dPuvtXT33tj7r7+939XHe/d6o1kqG797r7he7+1vHHY1Ovic3X3Y8dP0d9\nv7s/MfV6yNPdB939b8fPW9+Yej1stu7+2+5+ubu/c+K+n+vuZ7r7anc/3d27U66xKjB4q+o7VfX+\nqvrnk3d29zur6ner6p1V9VhV/XV3J+4/6zOq6jNjjF85/vjHqRfEZuvue6rqr2r+HPXOqvpAd//y\ntKsi0Kiq2fHz1qNTL4aN93c1f8466Q+r6pkxxi9V1T8dfz6puOAbYzw3xrh6ky+9r6q+MMZ4dYxx\nUFU/qCp/0FnUDa8EhQU8WlU/GGMcjDFeraov1vy5C5bNcxdLMcb4elUdnrr7t6rqc8e3P1dVv73W\nRd1EXPDexs9X1QsnPn+hqh6aaC3k+Fh3f7u7nzwL/2TDxnuoqq6d+NzzFKswqupr3f3N7v7w1Ish\n0oNjjJePb79cVQ9OuZiqqnunXsDd6O5nquptN/nSH48xvvImHsr/ycZt3eZY+2RV/U1V/dnx55+q\nqr+oqg+taWlk8pzEOrx7jPFSdz9QVc9093PHZ+lg6cYY4yy8J8NGBu8Y4z138WMvVtXDJz4/f3wf\n3NKdHmvd/dmqejN/2YKbOf089XC9/l+mYGFjjJeOtz/q7qdqfimN4GWZXu7ut40x/qu7315V/z31\ngtIvaTh5jdKXq+r3uvst3f2LVfWOqvLqVO7a8R/i695f8xdMwiK+WVXv6O5f6O631PyFtl+eeE0E\n6e6d7v7Z49tvrar3luculu/LVfXB49sfrKq/n3AtVbWhZ3hvp7vfX1V/WVX3V9U/dPe3xhiPjzG+\n291fqqrvVtWPq+oPhreZYzGf7u531fyfoX9YVR+ZeD1suDHGj7v7o1X11aq6p6qeHGN8b+JlkeXB\nqnqqu6vmDfD5McbT0y6JTdbdX6iqX6+q+7v7WlX9SVX9eVV9qbs/VFUHVfU7061wzlsLAwAQLf2S\nBgAAtpzgBQAgmuAFACCa4AUAIJrgBQAgmuAFACCa4AUAIJrgBQAg2v8DUfxyNCG9kK4AAAAASUVO\nRK5CYII=\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xa30ad30>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def PlotCurve(pts, limits, format='.-', ratio=1.1):\n", | |
| " plt.plot(pts[:, X], pts[:, Y], '.-')\n", | |
| "\n", | |
| " plt.axis('equal')\n", | |
| " plt.axis(ratio * np.array([-limits[X], limits[X], -limits[Y], limits[Y]]));\n", | |
| "\n", | |
| "\n", | |
| "PlotCurve(r_pts, r)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Ellipse discrete points\n", | |
| "\n", | |
| "# First version (not respecting arc-length; not respecting difference in discretization in rectangle)\n", | |
| "\n", | |
| "# Parametric parameter\n", | |
| "t = np.linspace(0, 1, num_pts)\n", | |
| "\n", | |
| "e_pts = np.empty_like(r_pts)\n", | |
| "\n", | |
| "e_pts[:, X] = e[X] * np.cos(2 * pi * t)\n", | |
| "e_pts[:, Y] = e[Y] * np.sin(2 * pi * t)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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kKETpU9MVGhyqbZ9tU0hwiC6+5GKFBodq45qNCgkK0ROlT2jd/nXSHuniARfrL/f9RT7b\np7UfrZVt25p0yST5bJ8++/gzSdJF0y6Sz/bpi0++kM/2KX1qumzZWv/pevlsnyZMmSCf7dOXa76U\nbdsaN2WcfLZPG9dslC1bF158oXy2T1s+2yKf7dPoi0frZzk/U+7nuZKk8VPGK+vCLO34fIfqGuvU\n98K+qmmsUf6GfNU31St6RLRqG2tVvLW4uYgfEqyaxhod3XFU9Y31qh9cL0uWQveGKiwkTLEjYxUR\nEqGmPU0KCw5T0oVJigiJUOXOSoUHhys1PVVr9q1R6bZShQeH675v3KeUmBTt3bhXUaFRuuLyKxQX\nEaeNazcqPDhcl19+uWvmJ9tss+2u7RO38/PzJUlLliw5Y89woIrhRyQdtm37V5ZlPSgpjhPoAG9r\n8jWprLZMh6sP63DNYZVWl552e9XuVSqvLZckJUUlqaaxpuWorS1bMWExig6LbrnEhJ+yHRrd6rGz\nXWLCYxQeHC7LOvlv45ylc7Ry10plpGRo1S2rFBfRtQvhOL3/QIyhoalBtY21qmmsUU1DTcvt2sZa\nv9u//OiX2lW2S5I0NG6oMgZkqLy2XBW1FSqvLW++XVehJl+T4iLiFBsRq7iIuObb4We47ec5MeEx\nCrKCOiMyAN1AeyfQdcZqEsskzZSUqOb+4J9Iek3SckmDJeVLmm/bdnmb1zlWDOfk5LT8BoGzIy8z\nXsirvqm+pZA9XH28mG17u03BW1FbodiIWCX0SlBCZIISIxOV0CtB1TurddG0i5QQmaBH1zyqbaXb\nJElXDbtKi+Yuailew4LDAv5zldeWa+GKhVo0d5EjhWhH9h/o+eV0Bh0txmsba1VRW6GKulOK5OMF\n86n37fhihyKGR5xWUFc3VCs6LLpVwZxfnq+6xjpFhUbp2xd9W2nxaUqKSlJSdJKSopKUEJnQ4wto\nL/z71dnIzIxTebVXDJ93z7Bt2984w0NfPd/3BtA1GpoadKDygIqOFun/vf//VFBeIEm6YsgVqmyo\nPK3grWmsaSlqE3qdLGwTIhOUHJOssf3Gtip4EyITFB8Rr+Cg4NP2nZOTo8zLMiVJr+a+qm2l25SR\nkqEXbnqhy4uxuIg4Lc9a3qX7dNP+3TCG7HnZHSrGI0IiFBEdoaTo9s/Pzon0/x9vk69JR+uOtiqc\n73rzLu2t2CtJWrxhsSalTFJxVbGKK4tVXFWso3VHlRiZ2KpAbnU7Okn9o/srKSpJiZGJfuc7APfp\nlDaJc9oxbRJAwNm2rYq6ChUdLVLRsaLTr4/fPlJzRP2i+mlA7wHKO5KnwzWHJUkTkiboB5f84LSj\nub3De7dqL+gsTh+VhLed7ah0fVO9DlUdalUgt1xXFetg5cGW7fLacvXp1afdwvnEdd/IvpxoCARY\nQNskzhXFMHB+Tj2a66/ALTpWpP3H9ivYCtaA3gM0IGbAyetTb/ceoKSopJajWG7oWwWc0Jm/jDX6\nGtstnE/cPlh5UIerDyskKEQhQSGKCovSjaNu1MjEkUqNTVVqXKpSY1PVp1efgPwCCngFxXAb9PeY\nIS8znZFXfVO9bnnlFm0v3S5Jmjtiro7UHDntaG7fqL7tFrkDYgYoJjzGaN9dfXSW+WWGvMx0h7ya\nfE26bPFl+nTfp5Kk8f3Ga0bqDBVUFDRfygvU6GtUalyq0uLSmovkUwrl1LhU9Y/u3yn9zN0hL7ch\nMzM9smcYwLmpqq/S7rLd2nVkl/LK8lqu847kqehYkSxZqmuqk9RcHN81+S5dOezKliI3KTpJIUGd\n/1fY6Z5RwGuCg4JbfvE80ycyFbUVLYVxQUWB8svz9fmBz1u2K2orNCh2kN9COTU2VQN7D6QVAzgD\nTx4ZBrrKkZojyjuS57fgLast05C4IRreZ7iGxQ9rvu7TfJ0am6rrX7iedgXAI873E5mahhrtrdjb\nUjDnl+e3OrJcXFWspKikk0VybKpWF6zWsfpjSuiVoJfmv6T4XvEB+MkAd6BNAggQ27Z1oPJAq4K3\npeg9kqcmu+lkodum4E2JSWn3Y01OJgPQWRqaGlR0rKjlSHJBeYEeX/e4iquKJUkhQSGalDxJoxJH\ntboMix/GEWX0CBTDbdDfY4a8pJKqEi14bYH+efifavA1aEzfMdpbsVe7y3YrOiy6VcFbn1evuVfN\n1bD4YUqMTOSkl7NgfpkhLzPkdWanniz7wrwXdLDyoF5961UpTco9nKvc0lwVVhQqLS7ttCJ5VOIo\nfkk/jjlmhp5hwOWqG6q1tWSrNpds1ubizc3XJZtV31Qvn8+no/VHJUnJ0cl67mvPaWj8UPUO793q\nPXKUo6kDpzoxfADosLZrOg/rM0wNIxpaFSp1jXXadWSXckubi+N397yrx9c9rtzSXEWFRp1WII9O\nHK1BsYN6/JeToGfx5JFhoMnXpF1Hdp1W9BYdLdKIhBEalzRO4/odvySN04CYAbom+xp6eAFAzS1i\n+4/tbymSc0tzW44mH6k5ohEJI5oL5ITmInn51uUqqSpRTHiMsudl8+8nuhxtEvCsEz29m4s3a0vJ\nlpaiN7c0V/2j+7cUvGP7jdW4pHG6oM8FZ+yPo4cXAM7uWN0x7Ty8s1WR/ObON1XdWC1JSo1N1X1T\n79OklEmakDTBePlH4FxQDLdBf4+Z7pLXsbpjJwve40d7t5RskWVZrY7yjus3Thf2u1DRYdEBGUd3\nycstyMsMeZkhLzOByutEf/KYxDH6bsZ3lVuaqy8OfKEtJVs0qPcgTUqZpIn9J2pi8kRdlHxRtzrg\nwBwzQ88w0Ekqaiu0bv86PfjOg9pTvkfVDdWyZGlM3zEtBe91I6/TuKRxSopK4iQ2AHBQ2/7kExqa\nGloK4/UH1utvuX/TxuKNSopK0sTkia0uiZGJDv4E6Mk8eWQY3UuTr0nbS7drzb41LZf88nxNSpmk\n3Ud2a9+xfZKkm0bfpBfnv+jwaAEA56PJ16Sdh3dq/YH1zZeDzddxEXHNhXH/ic1HkpMnqn90f6eH\ni26CNgl0K4eqDmlt0dqWwnfd/nVKikrS1IFTNXXgVE0bOE1j+41VaHBoq6WBOKkNAHomn+3T7rLd\nLQXyiSPJ4cHhrVos/rr1ryo6WqSosChO1EMrFMNt0N9jJpB51TfVa1PxplZHfUurSzV5wOSW4nfK\ngClKiEzw+3o3ntTG/DJDXmbIywx5melOedm2rb0Ve1sK4/UH1mtV3io12o2SpEnJk7T0xqUakTAi\noK1y3SkzN6BnGJ637+i+VoXvhoMbNDR+qKYOnKorhlyh/7rsvzQqcVSH16iMi4jT8qzlAR41AMBt\nLMtq/nrpuFTdOPpGSdLs52frrby3lBabpuF9huvK569UXWOdZqTOaLmM7TeWdZDRiiePDKNrNPoa\nddPym7S5eLOqGqoUZAWp0dfYcsR36sCpykjJOO1LKwAAOBf+Pi0sKC/Q6oLV+qDgA60uWK3DNYc1\nffB0zRg8QzPTZiq9f7pCgjg22NPRJoEuk3ckT6t2r9LbeW/r/fz3Vd9Y37K25Ozhs/X3f/k7KzsA\nABxz4NgBrS5Y3XzZu1p7K/Zq2sBpmpk6UzNSZygjJUPhIeFODxOdrL1i2JOfE+Tk5Dg9hG6lvbzK\nasr08raXdccbd2joo0M1ffF0fVL4iW4cfaO2f2+7ZqbNlCRlpGQoe162Jwph5pcZ8jJDXmbIy4wX\n8kqOSdbNY2/W49c8rs3/vll59+Tpjow7dKj6kO556x4l/jpRVyy5Qg/lPKT39ryn6obqdt/PC5l1\nJjfmxecCMFLfVK81+9ZoVd4qrdq9StsObdOlgy/VrKGzdNfku3Rh3wtbFbxnWlsSAAA3SIxM1A2j\nbtANo26Q1LyO/SeFn2h1wWr993v/rU3FmzSh/wRV1VfJtm0lxyTrhZte4P+0HoQ2CbTLtm3lluZq\n1e7m4nd1wWpd0OcCzRo6S7OGzdKlgy7l4yQAQI9V3VCtNfvWaMGrC7T36F5J0qDeg/TLr/5Ss4fP\nVnyveIdHiI6gZxhGDlUd0ju732kpgIOsoObid+gsfWXoV/gWIACA55xY135C0gQtSF+gd/e8q5z8\nHE1Mnqi5I+Zq7si5GpEwwulh4gwohttgTcDWmnxNuuGFG7Th4AZV1FVIki4fcnlLAbx/835dfvnl\nDo+y+2B+mSEvM+RlhrzMkNeZ+VuporqhWo++8Kjy4/K1YucK9Q7v3VIYXzLoElap8IN1huEaPtun\nTws/1V+3/lUvbXtJR+uOqqqhSpI0b/Q8vTT/pZbnHrAOODVMAABcwd+69pGhkZo2aJp+lPkjPWE/\nofUH1mvFjhW69617VVBRoNnDZ2vuiLm6evjVio2IdWjkOBtPHhn2Kp/t09p9a7V863K9uO1FxfeK\n1/wx8zX/wvm67x/38bXGAAB0ksKKQr2x8w2t2LlCH+39SJMHTG45ajw0fqjTw/Mc2iQ8zLZtfVb0\nWUsBHB0WrZsvvFlZF2ZpTN8xLc9z49caAwDQE1TWV+qd3e9oxY4VeuOfbygxMlFzR8zVtkPbVFFb\noaiwKGXPy+b/3wBineE23LjGXWeybVuf7/9c96+6X0MeHaJ/ffVfFRUWpZXfXKlt39umn2b+tFUh\nLJ38+MffX8SenldnIy8z5GWGvMyQlxnyMteRzKLDonXDqBv0zPXP6MB/HtAz1z2jYCtY7+x+R6v3\nrtbKXSv1zVe+GfjBuoAb5xg9wz2Ebdv68uCXWr51uZZvXa7goGDdfOHNev0br2tcv3Ge+LILAADc\nLsgK0tSBUzV14FStP7Beb+W9pX6R/fRp4af6yl++otsm3KZ5Y+YpMjTS6aF6Bm0S3Zht29pYvLGl\nALZl6+YLb9b8C+d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ObZHEusNAV5szp7lQycgQZ/yj0zG/AGfYtq0rn79Ss4bO0v2X3u/0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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xa4215f8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "PlotCurve(r_pts, r)\n", | |
| "PlotCurve(e_pts, e)\n", | |
| "plt.grid(True)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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CUa8QX29ARMSyLOYhCCEBh81uQ05RzukldcI4hKdmoKBRKE588CasFi1QXFKMYntxpV+L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\nQY6ksyTNTbySzJJzzjWVdL98JodIOt85d3DDPqvI+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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0x3ef8f28>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "PlotCurve(r_pts, r)\n", | |
| "PlotCurve(e_pts, e)\n", | |
| "plt.grid(True)\n", | |
| "\n", | |
| "# Draw Rays\n", | |
| "for i in xrange(num_pts):\n", | |
| " plt.plot([r_pts[i, X], e_pts[i, X]], [r_pts[i, Y], e_pts[i, Y]], 'r.-')\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Fix the parametric parameter\n", | |
| "\n", | |
| "# Let's define a parametric function for the rectangle\n", | |
| "\n", | |
| "# Get all the 4 sides of the rectangle, and concatenate them horizontally, we'll have a large segment of\n", | |
| "# size 2 * (r[X] + r[Y]). We'll map a number between 0 and 1 to a number between 0 and this size, and\n", | |
| "# see where it falls, starting from the bottom of the right segment.\n", | |
| "\n", | |
| "# r is predefined here, will not use as parameter\n", | |
| "\n", | |
| "r_len = 2 * (r[X] + r[Y])\n", | |
| "\n", | |
| "t_div = r[Y] / r_len # when we change from the right segment to the top\n", | |
| "\n", | |
| "def R(t):\n", | |
| " if t < t_div:\n", | |
| " p = 2 * t / t_div - 1 # map to -1 -> 1\n", | |
| " return pt(r[X], p * r[Y])\n", | |
| " elif t < 0.5:\n", | |
| " p = 1 - 2 * (t - t_div) / (0.5 - t_div) # 1 -> -1\n", | |
| " return pt(p * r[X], r[Y])\n", | |
| " elif t < 0.5 + t_div:\n", | |
| " p = 1 - 2 * (t - 0.5) / t_div # map to 1 -> -1\n", | |
| " return pt(-r[X], p * r[Y])\n", | |
| " else:\n", | |
| " p = 2 * (t - (t_div + 0.5)) / (0.5 - t_div) - 1 # -1 -> 1\n", | |
| " return pt(p * r[X], -r[Y])\n", | |
| "\n", | |
| "\n", | |
| "# Now this is *almost* ok, because for t = 0, we want to map to the middle of the right segment,\n", | |
| "# so that it matches the rightmost point of the ellipse.\n", | |
| "\n", | |
| "# So let's remap t\n", | |
| "def ShiftToBeginAtMiddle(t):\n", | |
| " new_t = t + t_div / 2\n", | |
| " if new_t > 1.0:\n", | |
| " new_t -= 1.0\n", | |
| " return new_t\n", | |
| "\n", | |
| "def R2(t):\n", | |
| " return R(ShiftToBeginAtMiddle(t))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "assert np.all(np.isclose(R2(0.0), R2(1.0)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "t_values = np.linspace(0, 1, num_pts, endpoint=False) # lets remove the endpoint to not repeat one point now\n", | |
| "\n", | |
| "r2_pts = np.empty_like(r_pts)\n", | |
| "for i, t in enumerate(t_values):\n", | |
| " r2_pts[i, :] = R2(t)\n", | |
| "\n", | |
| "e2_pts = np.empty_like(r_pts)\n", | |
| "e2_pts[:, X] = e[X] * np.cos(2 * pi * t_values)\n", | |
| "e2_pts[:, Y] = e[Y] * np.sin(2 * pi * t_values)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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Lly9vtH2fiZwp8aq0VaotWVvU/E3z1e0Lb1cj3xypmj/eXK3taigl8kGdbBml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\nkMNwivsqKaNXDL1i6BVDrxh6x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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xaa1e9e8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Let's try to plot it\n", | |
| "\n", | |
| "r2_pts = np.empty_like(r_pts)\n", | |
| "for i in xrange(num_pts):\n", | |
| " r2_pts[i, :] = R2(float(i) / num_pts)\n", | |
| "\n", | |
| " \n", | |
| "PlotCurve(r2_pts, r)\n", | |
| "PlotCurve(e2_pts, e)\n", | |
| "plt.grid(True)\n", | |
| "\n", | |
| "# Draw Rays\n", | |
| "for i in xrange(num_pts):\n", | |
| " plt.plot([r2_pts[i, X], e2_pts[i, X]], [r2_pts[i, Y], e2_pts[i, Y]], 'r.-')\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "from scipy.integrate import quad\n", | |
| "\n", | |
| "# Ok, the problem now is that the spacing in the ellipse is not very good\n", | |
| "# We should re-space them. One way is to transform \"t\" so that points in the ellipse are equally spaced\n", | |
| "\n", | |
| "def EllipseArcLength(e, t):\n", | |
| " a, b = e[X], e[Y]\n", | |
| " result, error = quad(lambda s: np.sqrt(a**2 * np.sin(s)**2 + b**2 * np.cos(s)**2), 0.0, 2*pi*t)\n", | |
| " return result\n", | |
| "\n", | |
| "assert np.isclose(EllipseArcLength([1, 1], 1.0), 2 * pi)\n", | |
| "assert np.isclose(EllipseArcLength([2, 2], 1.0), 4 * pi)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "from scipy.optimize import fsolve\n", | |
| "\n", | |
| "e_length = EllipseArcLength(e, 1)\n", | |
| "\n", | |
| "def Ellipse(t):\n", | |
| " a, b = e[X], e[Y]\n", | |
| " new_t = fsolve(lambda s: EllipseArcLength(e, s) / e_length - t, t)[0]\n", | |
| " return pt(a * np.cos(2 * pi * new_t), b * np.sin(2 * pi * new_t))\n", | |
| "\n", | |
| "\n", | |
| "e3_pts = np.empty_like(r_pts)\n", | |
| "for i in xrange(num_pts):\n", | |
| " e3_pts[i, :] = Ellipse(float(i) / num_pts)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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7j7z7CAeaDpDty+Z3t/yOgoyC/v63i4icolfOM2xZVgXw8kk9w1XAAmPMUcuyyoF3jDET\nuj3G3HXXXVRUVACQn5/PjBkzWLBgAXBiy0HTmta0pt946w3+eeU/01zejNfl5QbfDbhcLsbMHENr\nuJUNH2wgEA1QNrmMtkgbO9ftJBAJkD0+m9ZwKzWbawhEApgKQ1ukjeaqZqLxKFmVWYSiISJ7IgDk\nTcijsqiSwO4APpePsillpHnSaK5qxuv2Mmr6KNLcadRtrcPr8lI5q5I0dxoHNh3A6/Yydc5U0jxp\n7F63m6c2PcW+gn0ATG2fyl3T72LmZTNxWS42fbgJl+Vi1uWzcFkuNn64EcuymDNvDi7LxbpV63BZ\nLi6dfylul5s1K9fgslz85OhPWH14NeyFucPm8l/3/RdxE+eD9z8gbuLMunwWsXiMNSvXEDdxLr7s\nYmImxkerPsIYw7S504ibOOs/WE/cxJk6dypxE+cbP/8G+5r2wWiYPXQ2V8SvIBKLMHLGSELREDvW\n7SASizBkyhBCsRD7NuwjEo+QPzGfUDREzZYaIrEIGeMyCEVDNG5vJBwPU19STzgehr0AkDM+h2xf\nNq79LtI96ZRPLSfbl037znYyvBmMvXgsWd4sjm09Rro3nRmXziDbl031hmoyPBnMv3I+Wb4svvnv\n3+RY2zGGTxvO8luWs/HDjY56v2pa05ru/+nO2/v27QPgqaeeOm3PcF8Vw48DDcaYxyzLegjI1wF0\nIqkrbuL4Q34ag400BZtoDHSMTzcdbOxyXzQeBQNREwWgKKOIS4ZeQrYvm2xfNlnerJ5v+05/f4Yn\nA8uyWPxfi3l196vMGjqLN//mTfLTe+fkN33xvANpXrs/76t//Spel5fWcCut4VbaIm0nbofbTntf\na+Sk2x2/s7thd6LIBjwuDyNyR5Cfnk9BRkFinN5tnFHQ5Xbnz9I8ab3yd4qI853pALreOJvEcuBT\nQDGJ/uCHgZeAZ4GRwD7gr4wxTd0e12/F8LvvvpvcgpCzU172DPa8jDG0hFqoa6vrMhxrP0ZdWx1/\n2vknGgINGGPIT8/HH/bTEmoh05t5arGSUYB/h59pc6edcv/J05neTK5bdl2fFGxNwSbuefkenrzh\nyV57zr563qZgEzf9+CZefOhFx89rXz5vssgun8UztzyDwZx2w2rLmi1kVWb1uAHmdrmT77GGQAPR\nWJQMbwa3TLqFkXkjKc0qpSSzhNKs0sTtrBJ8bl+v/R1ONNiXX31BmdnTX3mdqRg+755hY8ztp/nR\n1ef73CJyYbRH2rsWtm3HTky3d50+1n6MdE/6qYVCZgkXFVyEz+2jOdQMwLyR8/jPz/8neel5eFw9\nL27effddFnxqwVnncdmSZX1SWOWn5/Ps0md77fn68nnz0/P5/oLv9+rf3/m8AyUDsPdeeNfd84rX\nGEMgGkgWxne+cCcbazdCEN6qfourx1zN+pr1XT4X9e31ZPmyurzvu38OOovm0qxSijKKcLvcvf73\ni0jv6pU2iU/0wmqTEOlz4ViYGn8Nh1oOcdh/mMMth0/c9h9mY81G2iJtAAzPHU5ZdtmJlXrmiZX6\nySv9kqwS0j3pp33NvvrKXaQvncv71hhDU7DplG9DTjfdFGzCbblxW24yfZl89qLPMqZwDMNzhzMs\nZxjDcocxLGcYhRmFWFaPO6xEpJf0aZvEJ6ViWOT8tIRaEoVtS6KwPeW2/zCNgUaGZA9hWO6wEyvg\nnI7bucP47hvfZc2RNQAsnbS0V/bi9dVX4yJ9qS/et7F4jCt+fQUfHPoAgEvKL2HxuMWnfE5D0RBD\nc4ae9nM6LGcY5Tnlp/12RUTOTsVwN+rvsUd52dMbecXiMQ61HGJv016qG6v5t9X/xpHWI0TjUQrT\nCznadhRjTHJleboVaGlW6Rm/pnXCXly9v+xRXvb0d17n8hlrC7clv7k53YbtsbZjFGcWJz/buxp2\nEYwGyUvP46fX/pRpZdPIS8877/nt77wGImVmz6DsGRYR+4wxHA8cTxa7exs7xh3Th1oOUZxZzJiC\nMYwuGE1jsJG6tjogceqrj+75iNy03PP+arWv+nBFJOFcPmNZviwqiyqpLKo87fNE41GOth5NFskP\nvPkA1U3VAFy//Hpi8RhpnjRG549OLDc6xwWJ8ci8kYP+4D+RTyol9wyLXAjBaJB9Tft6LHb3NiVO\nvDqmYEyXFVfn7VH5o7r05TphD66IOEf3ZUJeWh717fVdlzONe6luSowP+w8zJHvIaYvlsqwy9S3L\noKY2CZE+EovH2Ne0j6r6KrbXb+dX639Fjb+GUCxE3MQZlT+q64rnpBVQQXrBOa981IcrIiezu0yI\nxCIcbDnY44Z5dWM1beE2fG4fbstNXnoe9112H5cMvYQJxRO0zJFBQcVwN+rvsUd5QSASYEfDjkTR\ne2w7VQ2J8a7juyjNKmVC8QQmFk/klV2vsGvdLhgNt0y8hef+6rn+nnXHG2jvL2MM0WiUUChEOBwm\nHA4nb5/uvp/+9KccPnwYn8/H3/7t35KRkUE8Hk8OsVisy/TpfrZixQoOHDhAXl4ed9xxB1lZWbhc\nLtxuNy6Xq8fhdD978sknOXr0KOnp6Tz88MMUFhaSlpaGz+fD5/Mlb3cfu1yu/v4X2DLQ3l/9xR/y\nc9VTV7Fu1ToYDSNzR1KSVUJVfRU5aTnJZdzJ4+G5w7U3Gb3H7FLPsIjD1bfXJ4rdjj29neOjrUe5\nqOCi5IrgxsobeXDeg1QWVZLty04+fmfDTnaxi1lDZ/HLG3/Zj39Javryl79MVVUVXq+Xxx57DLfb\nTVtbW3Job2/vMn2m+3fv3k0wGAQgKyuLSCSSLHRdLtdpi8We7tuwYQMNDQ0A/OAHP+CKK66wVbh2\n3n/06FFqa2upra1l2bJlXH/99edURPf0s40bNybn6Stf+Qrjxo07Y0HfOXa73af8fU1NTcRiMbxe\nL9OnTyc/P5+srCyysrLIzMxM3j556On+73//++zbt4+cnByWL19Ofr72SF4oOWk5lGaVAnRpx4qb\nOIdbDndZJv6+6vdU1VfRGm5lfNF4JpZMZELRhMS4eAJjC8eqP1kGlJTcMyxS11bHXS/exc76nYRj\nYYbnDWdXwy6i8SgTSyaesgdkdMHoczqtkdoZPrl4PE5raytNTU00NzcnxyffPt2483YgEEg+X3Z2\nNpWVlbYLss77v/GNb/DRRx8BcOONN/L000+TlpaG1+vF7bZ3IYXFixfz6quvMmvWLN58881PXOT1\n1vN80ufq3CvevUBeunQpa9euBeDKK6/k29/+9jltcHS//+DBg0QiEQA8Hg/Dhw8nLy+P/Pz8Hsdn\n+llami61bJfd5VdjoJEdDTtO2YFwoPkAo/JHJZefHx76kNZwK8WZxfzult9p2Sj9Qm0SkrLiJs7e\nxr1sOLqBjUc3suHoBjbUbCAQDWCMSV4pbcGoBSy/ZbkOIuklxhiam5upr6/n2LFj1NfXJ4fu0/X1\n9ezfv59wOIzb7aasrIyCgoJzKny633fLLbfw2muv9VuxeDpNTU3cc889PPnkk454nt5+rr4o9p95\n5pnkfJ5uo+hM98ViseRe7JkzZzJ06FCKi4uTQ0lJSZfp4uJiFdC9JBQNsfv47mSB/LPVP+NY+zEA\n8tLyuHnizcwcMpMZQ2Ywfch0ctNy+3mOJRWoGO5G/T32DJS8wrEw245tSxS9NRvYcHQDm2o3kZeW\nx8zymcwom8HM8pnMHDKTkXkjuW7ZdX1yhoaBkpddoVCIo0ePcuTIEWpqanjiiSc4dOgQxhhmzpxJ\nS0tLsthtaGggMzOzx6Lj5OmSkhL27NnDL37xC1atWgXA0qVLefbZT3bxD6cWi73Jie8vpxX7xhiu\nvPJK3n//fSCxt/prX/vaWTfM0tPTe3yvvvfee7S0tJCTk8NPfvITJkyYQGHh4LxqXF+8vzrPfHFx\n+cU8fvXj7D6+O7mDYnPdZobmDGXGkBnMHDIzWSSX55T36jz0JSd+Jp1MPcMivaQl1MLHtR8ni96N\nRzdSVV9FRX5FsuC9YfwNzBgyg+LM4h6fQ+fYTQgGg9TU1FBTU5MsdHsa+/1+ysrKGDp0KOXl5ezd\nu5eamhoAhg0bxg9/+MNkAVFUVITPd249g+FwmLy8xMUCZs2axZNPPvmJ/5b8/PxPXEj35XMNdr2V\nVW89j2VZ5OTkAFBZWclLL7101uLaGJPcoOteLNfU1HDo0CEAPvvZz+J2u2lvb2fIkCHJz8PpxkVF\nRQPuoMPe1n1Z++kxn07+LBqPsrNhJxtqEsvxJz54gg1HN+B1eU/ZiXFR4UW4rNTOUvpGSu4ZloGl\nMdDIHS/cQdWxKoLRIBneDGrbaplSOiW5F2HmkJlMLZtKpjezv2fXUYLBIAcOHGD//v3s37+fn//8\n5xw5coRYLEZxcTF1dXW0trZSXl5+xhX60KFDT1mpO7GNQKRTX7eBBAKBLt+UnG7s9/sZMmQI5eXl\n1NbWEolEyMnJ4aGHHmLSpEmMGjWK0tLSQbmX+ZMyxnCo5VCyrW1jbeLbvuOB40wrm8bMITPZVLuJ\n9kg7JZklLL9leUrv0JBzozYJGTCMMexp3MPKAytZeXAlqw6uYn/zftyWO9nfu+iiRfzxjj+e0wFt\ng53f708Wup3Dvn37krePHz/O8OHDGTVqFKNGjeKdd95h//79AFxzzTUsW7aMwsLCT7TnSgWspIrz\nea8Hg8Fk0Xz33Xezbds2AIYOHcqQIUPYv38/bW1tyc9o51BRUZG8PXToUNsHbQ5GxwPH2XR0ExuO\nbuCx9x+jrj1xVc6yrDK+PvvrzBsxjznD5pCTltPPcypOpGK4G/X32NOXeYWiIdbVrGPlgZWsOrSK\nVQdX4XP7mDdiHpePuJx5I+YxrWwan/vd5wbMFdh6M69QKER1dTV///d/T3V1NdFolMmTJ1NTU8P+\n/fsJBAKnrDhPHsrLy7usRHtzb25v0efRHuVlj5PyOt3nr7W1lQMHDnTZkD15qK+vZ9iwYV0+2+++\n+y7Nzc0UFRXx/PPPU1BQ0Cvz6KS8zqSzD3lG2Qzuv/x+NtVuYtXBVWw4uoHxReOT6495I+cxIndE\nn+55HyiZOYV6hiXl1bXVsepgouhdeXAlG49uZELxBC4ffjm3Tr6Vn177U0bmjTzlcYO5vzcWi3Hg\nwAF27tzJzp072bVrV/L2kSNHGDVqFPX19Rw/fhxI7FF68sknGTVqFMXFxbYW8suWLdPeXJF+crrP\nX3Z2NpMmTWLSpEk9Pi4UCnHw4MEuBXJVVRV1dYk9o6WlpUyfPp3KykoqKysZN25ccjxYP+fd1wl/\nzV8DiR0s62vWs/LgSp7b9hzfev1beF1e5o2cx+XDL2feyHlML5uO1+3t579AnCQl9wzLhRE3cbYf\n254sfFceXMmxtmNcNuKy5EJpzrA5XS5aMVgZY6ipqelS6Hbe3rt3LyUlJckV2ckrs4qKCrxeryP3\n6IpI/zl5mfDss89SV1fXZfnSuYzJyMg4ZblSWVnJ2LFjycjI6O8/o88ZY6hurE6sgzq+gdzXtI9Z\nQ2clv4G8bPhlFGT0zp51cS61ScgFEYvHWPLsEjYd3URbpI1wLExxZnHy66rLR1zO5NLJg/po4Hg8\nzr59+9i8eTOPPvooBw4cIBgMEo/HyczM7LHgveiii8jMPPOBf+rPTQ2JZaLBmDhggHjH7cR4166/\nJRDYg9udwfjxv8brLQRcWJYLsDrGLh2MlQLOZZlgjOHo0aM9futUXV1NaWkpsVgMgIKCAp544gku\nu+wycnMH93l/m4JNfHjow2RxvObwGkbljSIaj2JhMTRnKCtuXTHovoVMdSqGu1F/jz1nyuuI/wiv\n736d1/e8zpvVbxKMBGmPtgNwQ+UN/OH2P1zAOb2wjh8/zubNm9m8eTMff/wxmzdvZuvWraSlpTF7\n9mw2b96cPB3TTTfdxO9///t+nmNn6o/PY1XV3bS3V+FypTF27P/BsrzE4wHi8XZisfaTxoFTphsa\n/kgkchzLcpGbeylgYUyYeDyMMWGMiSRvnxhHktOxWHNHgQvgwbJMsuBNFMAWXQvbE+NYrJ2NG+PM\nmAHgxuXydSmWOwvoBNcpz5GYP4NlufB6S3C50rAsHy6Xr2Ps7Tbtw7IS9/n9a4lG/bhcaZSU3IzX\nW4jLlYmVFQoGAAAgAElEQVTbnYnLlXHS7Uzc7q7TLlcGe/bcRyCwG5cri0mTluH1XphCQ8v7nnW2\nZ33uc59j8+bNQKIgbm9vp7y8nKlTpzJt2jSmTp3K1KlTqaysxOMZnJ2V0XiUTUc3cevzt7KncQ8A\n+Wn5fG3211h00SIuG3HZGS8vrfeYPeoZlgEvFA3x/oH3eX3P67y2+zUOtRzi6jFXc+3Ya/mXz/wL\n97x8T/JAt6c//3R/z26vCIVCVFVVJQvezuLX7/czZcoUpk2bxvTp07nzzjuZOnUqmzZtYsGCBSxe\nvJhDhw4xa9Ysfv3rX/f3nzEoGBMnGm1h5857CQR2YVkehg//FpC4PxZrIRr1d4xbuoxjMf9Jt1uT\nz7l+/VzS0kb2WMB1L+683kLi8RCRyFEAQqHDjBhx/2mLScvydissfWzZchMtLSsBKC6+nkmTltN1\n7+7p9+pu2rQYeJXs7FlMn/7maQvKxI6GeLdCOc6mTYtoaVmJMTGys2cybtxPuxTqJ8bd74vg968l\nEkmcV/r48dcpLv4ckUj9SRsLgS4bDd03KGKx5uT8ffDBMDIyxuLx5OJ253aMc066feK+zumDB58g\nFDqMx5PLpEnPXLBierByu92MHj2a4cOHs3nz5mQL1rp16xgxYkRyWffMM8/wve99j8OHDzN+/PhT\niuTy8vIB/02Ex+XhkqGXUFlUyZ7GPVxSfgmPXvUoKw+u5P4372dnw06uqriKRRct4tqx1zK6YHR/\nz7L0spTcMyznzhjD7uO7eW33a7y+53X+sv8vTC6dnFwozB46G7frxNkK7F7b3mkaGhq48847qaqq\nIhgMkpeXx/79+xkzZkxy4d+5Ihg1atQZVwJqbTi9xJ7ZbViWl1GjHsaYMNHocSKR4yeNG7pNHycS\nacTtziIeD2FMCACvt5yCggU9FFInj7sWWlu3/hWNja+dtajsyaZNi2lsPHtB2hePj0Sa2LnzHior\nn/xExeD5vHbv/d0zGD/+N1gWp2ywnGmDprX1Y4wJdDybm7S0cjyeQrzeoo5xYbdxUfL2gQM/Jhg8\niNudfUH3Sg8E57qcamtrY+vWrckiuXOnQDweZ9q0adTV1RGNRikpKeHFF1+kuLjnix052enWX8fa\njvFm9Zu8tvs13tjzBrlpuVw79loWXbSIBRULyPJl9eNcy7lSm4TY4g/5eXvv28m9v6FYiGsvupZF\nYxdx9ZirKcwo7O9Z7BXBYJBNmzaxevVqVq9ezZo1a6itrcXlctHcnNiLdc011/Dyyy+TlpbWz3Pr\nfMbEiETqCYfrCIdriURqCYdPDInpuo7pw8nHeTwF5OTM7lbMFPVQ3BTi8RTgcnnPuzA7n6LyfAvS\n8338+RjIf/fJ//MpU34PxM+w0dQ5TvysvX0nEAHA5comJ2cGXm8ZPt+JITFdmrzt8Qz+A3vPlzGG\n2tpaNm/ezL333kt1dTWQ2Os8b9485syZw9y5c5kzZw4jRvTt6c0ulLiJ83Htx8kdRB8d+Yi5w+Ym\ni+MppVMGxd85GKkY7kb9PV3FTZxNRzcli991Neu4dPilyb2/x7Ye46qrrurv2Twv8XicXbt2sWbN\nmmThu3XrViorK5ML67lz5zJhwgRuuOGG8zpzw2B7fxkTJxKpJxQ61GU4duw5wuF6jInicqUTizXh\n8eTj9ZZ2KzC6Fxxl7NjxFRob3yA7exZNTY9w9dXX25qn/iwo+9tge3+dq0/6P3/33XcpKHi8o5Ce\nybhxv8CYQA8bap23ExtsYCXft6FQDfF4GI8nh+HDv01m5njS0oaTljYMt3twXfXyk76/Tj67xfPP\nP8/OnTuTy9vVq1fjcrm6FMezZ89OXoZ9IPOH/PzsmZ9xuOhwcufRoosWseiiRVxz0TWDZudRb1LP\nsDhGOBbmhmU3sLF2I02BJkbkjWDxuMU8MO8BPjXqU12+9nl327v9N6OfUG1tLWvWrEkujNeuXUt+\nfn5yYXzbbbdx8cUX93gWh1Q6F68xMcLh2lMK3a7DYdzunI6V/4kBXMRiTQDk51/FlCkv4DrHqwJO\nmvRMsrBZuXKj7fn2evOZPPlZ24+Tget8/ueTJi2zVUgbY4jFWpOF8o4d9xAK7ScSqeHAgX8iPb3i\npM9G1imfje6DxzP4r4jWfbk5atQorrnmGiCR54EDB5LL4x/84AesX7+eESNGdNkZMXXqVHy+0x+o\n5kQ5aTnMGzmPBQsWJNsKX9/zOr/d/Fvufvlu0j3pZHmzGJk/kpdue2lAtg+mgpTcM5yqYvEYf9n/\nF5ZvWc6K7SuIxqK0hFsAWDppKc8uHZjFRTweZ8uWLXz1q19l9+7dtLa24vP5uPTSS5ML2dmzZ1NW\nVtbfs3rBGWOIRhsJBKoJBqs7xnsJBqtpbl5NPO7HsnxkZU0iPb0Cn29YDyvzYbjdp56P9HxbFUQG\nitO9140xPX5rcvIQCCTOTuB2Z5Gfv4DMzPGkp48hI2MM6eljSE8fics1sArA3hCNRtm6dWvym7rV\nq1dTXV3N9OnT8fv9xONxhg4dynPPPTdgd0qEoiHm/HIOH9d9DEBBegEPf+phbp18K+U55f08d6lH\nbRIpzBjDupp1LNu8jGe2PkNpVil3TLmDW6fcyr1/vHfAXOL4ZMYY9uzZw9tvv81bb73FO++8Q15e\nHq2trRw9mjjK/5ZbbuG5557r5zm9MOLxEMHgfoLBvd2K3moCgb2ASa54Tx5XV/8jra1rASgpWWp7\nr1sqtypIajmf9/qGDZ+iufkvAOTkXEpx8Y1dNkxDocP4fENO+Yymp48mI2MMXm9JyvSg+v1+1q1b\nx5e+9CX27t0LJE73dvfdd7Nw4ULmz59PVtbAOlit87LRs8pn8T+v+J/8YccfeGnHS1xcfjG3T7md\nJROX6IIfF4iK4W5Soedu+7HtLN+ynOVblgNw+5TbuX3K7UwsmZj8nXM984MT8jpy5Eiy+H377beJ\nRqN8+tOfZuHChSxcuJCRI0c65iptfZVXOFxPe/v2jqGK9vbtNDW9TzzeimVlkJs7h8zMylOKXo+n\noMeVqVP27Drh/TWQKC97+juvs33O4vEIodDBUzZkOzduY7EWLCsdtzuH8vIvkZNzMZmZE8jIGNsn\ne5T7Oy840X98ySWX8IMf/IC1a9fy1ltvsX79ei6++OLksn/u3LmOaKs4U2Y9rWcDkQCv7HqF5VuW\n82b1myyoWMAdU+7ghvE3kOkdXD3oPVHPsPSpg80H+d2W37FsyzJqW2u5bcptLLt5GbOGzuqxGMpP\nz3dsa8Tx48d55513ePvtt3n77bepq6vjqquuYuHChTz00ENUVlae8jcNhl5fY+IEgwdOKXrb2rZj\nTJSsrIlkZk4gM3Mi+fkLCIcbaG1dizEBfL5Sxo9/8pxfy24fpYjYd7bPmcvlJSMjseHak/Xr59HS\nsop4vJVjx56nre1j2tu3EwweJD29gszMCV2WC5mZE/B4BvYV5LovyxcvXswjjzxCW1sb77//Pm+/\n/Tbf+c532LFjB5dffjkLFy7k05/+NDNmzMDtdp/9BS6gntazGd4MlkxawpJJS2gONvNi1Yv8euOv\n+eofv8p1lddxx5Q7+MxFn8Hr9vbTXKeelNwzPJgcazvG89ueZ9mWZWw7to2bJ9zMHVPv4MpRV3Y5\n/6/Ttba28t577yX3/u7evZv58+cn9wBMnz4dl2vwXMbZGEModJjW1g3s2/f/EQwewJgg8XgUn6+o\ny4qtc+zzDTllA8Ape3dFpG+c7jMej4dob9+V3GA+Md6Bx5NPZuZEwuEa4vEIPl8xkyevIC1tcPWp\nNjY28uc//zn5jWFNTQ0LFixIFscTJkwYUC0mdW11PLf1OZZtWcaO+h3cMukWbp9yO1eMugKXNXjW\nf/1FbRKDjD/k58WqF1m+ZTkrD65k8bjF3DHlDhaNXXTGS0Y6zaFDh3jhhRf4p3/6J+rq6sjLy+Pe\ne+/luuuuY86cOXi9g2Or2JgYgcBu/P4NtLaeGMAiO3smbW3bCYcPAlBU9HmmTn3hnJ9bfbt9zxhD\nPBQnHjzzcPCJg4QOh3B5XZTfXY7L68JEDfFIHBMxiSGaGHfed/z140QaI7g8Lgo+XYDltcCAiZvk\nlZU7b5u4oeXDFqItUSyPRf4V+bjSXOACy2WBdWJ88n1N7zYRbY7i8rkovqkYd44by2vh8rqwPBaW\n98Tg8rqo+U0N4dow7kw3o/5hFN5iL650F64MV2LcffBoJd2X7H7GjYkTCh2krW07u3Z9g2CwuuMn\nLjIzJ5KTM5Ps7M5hBl7v4OlXrampSX6j+NZbb1FbW0teXh7Dhw/nlVdeoaSkpL9n8Zzta9rH77b8\njuVbltPQ3sBtU27jjql3MHPIzAFV4DuJiuFunNATZZcxhsX/tZiPjnxEY7CRq8dczRemf4Ebx99I\ntq9vTw7fm3lVV1ezYsUKVqxYwa5du7jxxhv56KOP2LJlCwBLly7l2Wed2bpxLuLxEK+99htmzHAn\ni962ts14vSXJFVDnysjnS1zGNNX37vbm+8sYQ6wtRqw5RrQ5mhwO/vNBggeDWG6L4puLseIWsdZY\n4nd7GrfGiNRFMNGOotQH7gx3z8Vgx+D/yE+0IQpA2qg0Cj9T2KXYdHldidsn3XfkF0cI7gkCkH1x\nNuV3l3ctbBNXaE7et/9H+/mg6gNmMIPsOdkM//rwxKWX490K6JPuO/STQ8nXyJycScktJV0K85OL\ncxM1NLzaQPRY4u/wlHrIHJd5+o2AQDxRfHesXiyvRUZFBp48D64sF+5sd2LI6jquf6meSEMEV5aL\n0d8fTdqwNDx5Htx57sRjvb1XYA/E5X1vOXnZMm3aHwmFjiSXS37/BtraNuHxFHUpkNevD3LNNbcM\nioJr7ty5rFmzBgCv18vtt9/OkiVL+MxnPkN6enqvvU5fv8e21m1l+ZblLNu8DK/bS7Y3G5/bR0FG\nAcuWLBswB793Us+w2BaJRVi+ZTn/vOqf2du4l7ZIGwC5abncMfWOfp67c7N9+/ZkAXzkyBE+//nP\n8+ijj7JgwQK8Xi+LFy9my5YtzJo1iyefPPee1/5mTJy2tm3s3HkvgcBuYrE2jIly4EA5o0dfQXb2\nTEpKlnbsfTn9wkq9u6eKBWJEGiJEG6JEGiLJoXO64Y8NRBoiYCBtWBqxtkTxG2uJYXktPHkePPkn\niqvWj1uJ1icKvPrf1zPkb4bgK/d1KdCSxVvH9LbbttGyKnHqwZLPlTD52clnnOdNizfR+Goj2bOy\nmf7mdLz5Z/9mo/HtRoJ7guf8mNrltVBF4vdfP7fXaHilwdZr2P074tE4GxdspGVlCyZqSBueRsX3\nK7psYMTb4snbkfoIgb0BIjWJK8JVfbmK9GHpRJs6Nl5aorjSXIn/4UkFcvuuduLBOO4MN0O+NIT0\n4el4ijx4i7zJwZPvwXIP/CKut3Rftvh8ZeTkzEz+3Jg4gcDujgJ5I4cP/5wdO1aTlfV1LCsNcOHz\nlTJ58vNkZFT029/xSRUVFQEwa9YsfvOb3/D222/zr//6r3zhC1/g2muvZcmSJSxevNjxZ6iYXDqZ\n/73wf/PoVY+y5vAaPv/M56lprQHg9udv59U7X+3nORz4UnLP8EDQGm7lV+t/xb9+8K+MLRzLg/Me\n5Ccf/oTX9rzm+FOhGWPYtGlTsgBuaWnh5ptvZsmSJcyfP/+UAxyampoGxIFvsVgAv38tzc3v09y8\nkpaWVXi9xUSjfiKRWgCKi29mypQV/TynzhOPxInURQjXhgkfDSfGtWEitRHq/5DYS2jiBk+Oh2hj\nFBMzJwqc7gVPkYeaX9YQ2BkAoODqAip/UXnGvYqfpFC1+5hIU4Sd9+yk8snKc3r+T/IYp76G3azO\n9Ps97t1virL7vt0Etif+5+nj0smbm3fKhlLUH8WTl3i/RJsS7yNXpovSW0tJH5WOr8yXGIb48JZ5\n8eR5BsUe0N5kjCEcrmHTpkW0t2/puNdDZuZ48vLmdQzzSU8f7fjsTrduqaur48UXX2TFihV8+OGH\nLFy4kFtuuYXrr79+QFwVr/N0bUOzhxKKhbhi1BU8OO9BLh1+aX/PmqOpTWIAqWur499W/xu/WPcL\nFlQs4IHLH2D2sNnAuZ8KrT8YY1izZg0rVqzghRdeIB6Ps2TJEpYsWcKcOXMG5MFv4XAdzc0rOwrf\nlbS2fkxW1hTy8uYnVwo+X1lKtznEI3HCNWFCh0LJoebXiZ5TYuAt9hKpjxBrieEt9iaLkJOLkiO/\nPEKgKlHkFC4uZNIzk3Bnuc+4onVioZrKnFJwx6Nxoo2Jbw+23b6Nto2Jb9IyJ2eS/6n85AZY50ZZ\nPBzHV3rivdi+q514II47103FwxVkTswkbXhaShbNXVssXiUU2t+xPEzsDIA4eXnzyc1NLAuzs2fg\ncg28z8nx48d5+eWXWbFiBX/+85+ZP38+S5Ys4XOf+1xyz7LTnFwLeF1efr3x1zzxwROMzBvJA5c/\nwOJxi1Pu/XouVAx348QesurGav5l1b+wfMtybp18K/dffj9jC8f292wBp8/r7rvvZu3atTQ1NRGN\nRsnJyUkWwDNmzBhQH8aqqrtpbd2EMQGysqbh968lHK4jL++y5AI/N3cObvep54DsfoCLE99fn4SJ\nG7b9zTbat7YDUHxzMdGGaKLoPZgofCP1EbylXtKGpyWH+j/UE9obAqDgMwVM/O1EvEXeRN9rD341\n91eMXTPW1l7bVC5UB8v7yy67//PO4nlH5Q6+tPpLPT4mFoidKJCPhtn93d0EdyX6q71lXryFXkIH\nQxhjurzHO4djLx4jWh/FW+hl0rOTBsV7sfP9daYD94wxBIP7kjsKmpvfJxjcR07ObPLy5uP3ryUa\n9eN25zJp0rIBs4PA7/fzpz/9iRUrVvDGG28we/ZsgsEg8Xic/Px8li1b1uO3l074TEbjUZ7b+hyP\nrXyMmInx3cu/y+1Tbnfk6dnUMyynWF+znsdXPs5/V/83X73kq2z/xnaGZA/p79k6I2MMb7zxBsuX\nL6etLbHnZdGiRbz22mv9PGf2RKOtNDW9RUPDK9TWPo0xYQAsy8fkyc+TlTUZyzr76em83nzbV29z\nimhzlMDeAMHqIMG9QQLViduB6gDB/cHEQVmJ1k5igRjD7h1G3vy8ZDHgK/edcjaB9p3thPaGyJ6V\nzaRnzl4gVPxjBSVPl9gqbL353rP28MrgYvd/PmnZJHbes5PoF6KnfV+5M9xkVGSQUZG43Pjh/3eY\n4K5T+6ujLdEu336EDoVoXd+Kf42fWGMMgFVlq8iekU3GmAzSx6STPjo9eTtteNqAO+vGmZZrlmWR\nkTGajIzRDBlyJwCRSCMtLR907D1eRSyW6LffuPFKJk5c1rE8dfYOkpycHG677TZuu+022tvbef31\n17n33nupq6sD4K677uKll17q57nsmcfl4fapt3PblNt4Y88bPLbyMb739vf4zmXf4SsXf6XPD7Qf\n6FJyz3B/M8bw1t63eGzlY2w/tp1vX/pt7rnkHnLScvp71s5q/fr1PPDAAxw8eJCsrCw2bNjQ71d8\nO1fGGAKBXTQ0vMLx46/Q0vIBOTlzKCq6jvr6F2lufm9QtjpEW6MEdgRor2rnwL8cIHQohAkbcIGJ\nGDJGJ1bYGWMySB+dfuJ2RTpbbtliu9c2lffaysD2Sfc+Z8/KZuJ/TiR6PJrcoExuXO4NEq4NkzY8\njXgwnuiNz/cw+tHR5MzKIX1k+mm/NRmoOlssMjLGkZd3JY2N/w0YiooWU1i4mIKChbjdzj5orVPn\n1fBKS0uJRCLcf//9fOtb3yIz0/lXilt7eC2Pr3qcd/e9y72X3Mvfzf07SrNK+3u2+o3aJBwiGo+y\nYtsKHl/1OIFIgAfmPcAdU+8YEOcG3rt3L//wD//Au+++y8MPP8yXv/xl2traHH/gWywWpLn5zzQ0\n/ImGhleIxwMnLZA/nbxS00A/X68xhkhdhLbtbbRXtdO+vT05jtRHyBiXQebETFo+bCG0P9HCUHRD\nEVNemnLGvTUqbEVO71w/H/FQnOD+IFtu2UL75kTbkbfUi+W1iDZGyazMJHNiJpkTTowzxmXgTh84\nF046WfflqTGG9vbtyR0Rfv9acnMvp6joOgoLF5OZ6YyWwJ6cfBBefX09/+t//S9WrVrF97//fb74\nxS/i8Tj/C/ZdDbt44oMneHbrs9w+5Xbuu/w+xhT0fMXDwUzFcDcXul8lEAkkG9yHZA/hwXkPcn3l\n9QPiijINDQ189atf5Z133uGb3/wm9913H9nZzv66JRjcn1zoNjX9maysaRQVLaao6Dqysqb1+Vd1\nff3+irXFaN3USuuGVg792yFCR0KJg36y3WRNziJrYlaXlWr6qPTk6aY+yVkV+poT+u0GEuVlj5Py\n6unzF/VHExuu3TZiA3sDpA1Pw4QNhsTZVSb8xwSyZ2T36TLsQuQVjbbQ2PhmcjntdudQWLiYoqLF\n5OVdidvde+cA7gtr1qzhgQce4NixY/z4xz8mOzubq666qr9n66yOth7lZ6t/xpPrnuTqMVfzwLwH\nuLj84gs+H+oZTjFffPGL/HnfnzniP8LC0Qt5+qanmTdyXn/P1jlpb2/npz/9KU888QTz589n27Zt\nlJWV9fdsndGmTZ+lufkvGBOhuPjzlJb+NRMmPIXXW9jfs/aJRRoi+Df4ad3QmuhR3OAndCBE5qRM\ncmbmYGKGuD8OQOE1hWftqezso9SeXpELr6fPnyfHQ+7sXHJn53b53XgkTmBPgK1LttK+rZ3wwTAb\nLt+AlWaRPSObnJk5ZM/MJntmNpkTMnv1QiV9zePJpaRkCSUlSzAmTmvrJo4ff4V9+76P378Wj6eI\nrKypTJ78nCO/qZszZw7vvPMOr7zyCg8++CAul4tf/vKXzJ07t79n7YyGZA/hR5/+EQ/Nf4hfrvsl\nNy6/EYOhOKOYYbnDBuQFPHpLSu4ZvhDeP/A+Vz99NaFY4ivppZOW8uxS5x9kFYvFeOqpp3jkkUeY\nO3cuP/rRj6isrOzv2TqjaLSFPXvu4+jREwfBlZQsHXAHtUWOR9h6+1YCOwLEA3Esr0WsJUb2jGyy\nLz6x8suceGLF58Q9vZJoW4kaQ9gYvr5zJ7va28lwu/nZ2LFkezzEOn4e6xyA7+/bx/5AgHS3mx9U\nVJDtdmPgxGAMjx04wMFQiHSXi0dGjSLX6+28SB2WZSUvBvej/fs5EAqR4XLxzxddRKHXixtwWxYe\ny8JtWTywZw97g0Ey3W7+c8IESnw+3A4/wCkVdf+Mm4ihdeOJjePWDa2EDobImpxF9sxs2ra1EQ/E\n8ZZ6mbR84J3hYt26efj9qwDIzZ3PxRe/189zdGYDcZ3ZKRwLM+3fp7GjYQcAn5/weV649YV+nqu+\nozaJCygSi/DoXx7lyXVPMixnGOuPrnf8RTIgsaL905/+xEMPPURhYSGPP/44l17q/BN4Nza+Q1XV\n/6Cg4GpCof00Nv73gDkILngoSPN7zTT/pZmm95oIHQiBG2JNiaPTCz5bwLQ/TjvjwTXq6T27mDG0\nxmK0xmL4o1H+Z3U1e4NBPJbF3w0bhmVZtMditMfjXcavHT9OYzSKC5iZnU0MCMXjBDuGkDEcCgYJ\nxeNgWWRYFlEg3FHoeiwLn2URiseJdcxLumVR2lF0ui0LNySL0z2BAG3xxF7+Ao+HcRkZpxS5W1pb\naen4nSKPh8rMzMQVmI3pUjRXtbcnnyvH7abc50sW3Z1F+LFwmGjHfLk6Hgvgsyy8Lhfejvn3x2LE\njcFtWYzNyCDb7SbN5SLd5UqO1/n9+KNR0t1ulpaUUOj1kulykel2J8f/78gRakIhstxu/u+4cQxL\nSyPb7Sbd5XL8WQb607l8xqOtUdo2teHf4Gf//95PpDZxChhvmZfh3xxO3pV55M7OxZXm/L3HJw6+\nqyQWC1BUtIiLLnoieXyHU538beqtt97Kww8/7PhvU+HEBTwKMwopTC/kmaXP9EvrxIWgYribvupX\n2X18N3e+cCf56fn8+nO/JsOb4diLZJxszZo1fPe73+XYsWM89thjXH/99V1WTk7quesUi7VTXf0Q\nx469wPjx/4+iousccxBcT3kZYwjsDND0l6ZEAfxeM7HWGHnz88i7IjFkz8xm842bU25P75neXzFj\naIpG+drOnexub8dtWXxt2DCixtAcjdIUjdIcjdIci9EUjbK2pYXWjuIty+2mvaNwzXK7yXa7yXG7\nORwKJQvFYT4fCwsKuhRuGR3jfz98mF3BxDlnL8/N5R9HjepSAKa7XHyxqoo1fj8ANxUV8dtJk/B1\n7H3t/Awt3rSJVxsbmZWdzZvTp5Pv7fl/ei6/t3jTJl595x1mzZ/fO8/V7XdixhCJx4l07NWOxOPc\ntGULqzv+xqvz83mkoiK5MdC5YfCDffvYGUhcOGVSZibXFxWdsnHxl6YmmmKJzYJMl4sMl4vWWIyo\nMeR4PMn/T304TMQY0lwurikooNTnI8/jId/jIc/jIc/t5lc1NRwNh8lxu/ntpEkM9flOW1A7cfnV\nlzr3JGfNyGLEd0bQur6VpveaaK9qJ+finOTyJu/yPDy5p3ZK9ndeJy/HLcvF7t3foanpLcaP/w8K\nCpzZl3tyZvX19fzwhz/k6aefHhDH2Zx8AY9Xdr3Ct177Fvdffj/3XXYfblffHMDpxJ5hFcO9wBjD\nbzb+hgf++wH+8cp/5G/n/O2AODjuzjvv5PXXX8fv9/P444/z9a9/vccjY/t74dhdc/Mqqqq+SE7O\nHMaN+5njeoI78zLGsPGqjbRtaUtcga3MS/6n8sm/Mp+8K/LInJB5ygp8MO/pNR17aGvDYeoiEerC\nYWojEf715ZdpnToVYwyTsrLwx2I0RCIcj0ZpiUbJ9XgIxGIEO5YXw3w+PltURJ7bnSyQOscP793L\npo5zX99QWMjyyZPJcLlwnZRzrxenZ/mdpkiEe3bu5MnKytO+1rn+XlMkwk2//S0v3nlnrzzXucxX\nbxghYCAAACAASURBVOVwut+JxOOJvfYde+/v3LaNDR3/w0uys7mttDSx0ROLJTeA/tzUREtHYe0C\nvJZFoddLkddLkceTvL2mpYVja9dSMns2j1RUMCY9nTKfj2KvF+8AvCrmuTjdMiTqj9LyQQvN7yW+\nifJ/5CdzfCbxcBxXpgtvkZdJyyaxcuNKRy3vARoaXmHHjnsoKbmZMWP+yXGnZetpHVldXc33vvc9\nXnzxRUaOHMmYMWNOe9EOJ9nftJ+/+f3f4Ha5efqmpxmRN6LXX0PF8MkvPEjaJI4HjvPVP36Vqvoq\nlt28jKllU/t7ls7J2rVrmT9/PuFwosd26dKlPPuss3tsY7Eg+/Y9Qm3t04wb93NKSm7u71k6LRM3\n7P7Obmp+WUO8PbEXsmRpyaC8UIQxhoZIhMPhMEdCIQ6HQhwJhzkcCvHq8eM0RiJEO77G93S0CZT5\nfJR6vZT6fLze0MDBjvfh/NxcHr/oIoq8Xgo9Hgq8XtyW1asFbG8Xp+fyXANZb+XQl8W3z+XieCRC\nQzSa2JDquP3j/fvZF0oct1Hq8VCWlkZdOExDNEqu202Zz0djJEKs45uEr5SXMzYzk6E+H8PS0hjq\n85HuHpinNzubeCiO/yM/W+/YSvhAx7EWDl5GRSLH2bXrm/j9q5kw4Sny8i7v71k6J5dccgnr168H\n4Oabb2bFihX9PEdnF4vHeGzlY/zkw5/w88U/Z+nkpf09S71CxXAfeWfvO3zhxS+wZOISfnz1j0n3\nOPt0MJ1+85vf8N3vfpcRI0YMmItm+P3r2L79C2RmTqCy8t/x+Zx74nATM+y4Zwft29txZblo+u+m\nAd32EI7HORAMsq9j2BsM8kxdHcfCYcLGJFoSPJ5k8TAsLS0x+Hz838OH2dqeOK/q54uLeWHKlFOe\n/0IXsOJsF6KwjhvD8UiE2kiEO7Zt4+OOPdHj0tOZnpOT3KirCYeTBzJiDNkeD18ZMoSJWVlUpKcz\nOj2dIq93QPc8d7ZV4IGpr0yl6Jqi/p6lMzp27Pfs2vV1ysr+hoqKHzj+NGydF+3Iz89n3LhxvPTS\nS5SXl/f3bJ2TtYfX8tcv/DXzRs7jZ9f+bEBcGOxMVAx3c7676MOxMN97+3v81+b/4j9u/A8WjV3U\nezPXhyKRCN/5znd44403+P3vf8/QoUPP6aIZ/dkmEY+H2b//hxw58gvGjv0/lJbe7ugVTzwc56lF\nTzHTPZMpL07BRM2AaHsIxGLsCgSoam/nsQMHOBQKETH/P3tnHldVnf//593hctlBBVxwARXcxaVM\ns2xlpolCmnarMWtappm+jTo1068aZyqbmsVpUatpWrA02xPLMc1dURAUUdwXFES4wIV7udv5/P64\nQC6IFwXOOXqfj8d53Hvhcs7Lj5/ldT7n/Xl/BMFaLRVuNwkmE4lBQc0GILu8nF2NMaK3xsSwuAWT\nC/4Z3W/+9z/ej4sLGFg/UVrYkpLxJ6yktToqCcEJt5v0wkK21NUBPsM8yGJpvjF0SxKJQUHUer14\nhSBCr+evffqQFhraaiyzUmgKq4idHMvux3ZTNbOKm568SW5ZreJyVVBS8mvs9mIGDnyf0NCRsupp\nrU02bdrx1ltv8cYbb/DWW2+xcOFCLr9cHTPbda46frf0d6w4sIIPb/2Qsd0vfGG9EsMkAnmG28jO\nEzu5c/Gd9AjvwdaHthIbEiu3JL8oLy8nKyuL8PBwNm3aRHh4OICiQyOczjJycwcjhJfQ0GFERaUr\nemDxOrwUTS5COAWDfxjcvHuUkh47PlBcTF5dHV4hmBARwYGGBnba7ZQ6nfQJDmaA2UxFY0wvwGVR\nUXw5aBD60+IrN9TUsMvhIM1i4Z3+/c96veyUlHPO4Fn0ehamKqeMAlw8RBgMPNe7d6s3Wa3VUW1j\nWE+Xxp+3ZJir3W4OOp3ctWMHRXY7R10upu7ciVajwSFJ9DebGWg2M6Dx+OT4ccpdLsxaLdkpKbLf\nABoiDM19lKGLgQ9v/pATSSeIuSlGVl2tYTTGkpq6iOPHPyYvbxwmU3eCg5NJSclWXBahiIiI5nH2\nj3/8I8OHDycjI4NZs2Yxbdo0mdWdG4vRwvxfzOez4s+4+eObeXTUozw9/mn02ovLPl6SM8PngxCC\nuVvm8qcVf2LWVbOYNnKaoo3ZyWzatInJkydz33338dxzz6FVwcKRhoaDFBRcgyS5cToPAsrOHeyx\nedj+i+0Y44wM+O8ARSbAF0IQuWYNNY0LjwaHhDCrd28GmM30DgpqXlDUnmELAQJcDPhT31tqN1a3\nm112OztPOr6prGxOtZcVG6u4G8HaTbVsu2kb/f7Zj663Kz812JYtY7HZNgLKHiNOpqSkhIyMDK64\n4grmzJmDyWSSW5JflNaWct+X92F32/nwlg/pHdlbbkltIhAmcYEcrz/O1K+mUmor5aNbP2JAzAC5\nJfnNf/7zH2bMmMG8efPIyMiQW45f2O27KSi4hu7df0dV1fdYrTmKzh3srnJTeGMhlqEWkt9Mbt76\nWGl8XlHBvcXF1ElSwOgGCNDO+NtuRm7eTF5d3TkXg8pJ3bY6Cm8oJPH5ROKnxsstp1Wa8hJrtcF0\n63Y/SUn/VsVElc1mY8qUKZSVlfHpp58SH6/scm5CEhL/2PAPXlzzIq9d9xp3D7lbFeUNrZthhBCy\nHL5Ly8OKFSv8/m7O7hwR97c4MXPZTOH0ODtOVDvjdDrFo48+KpKTk8WOHTsu6FxtKa8LxWYrFGvX\nxoujR98WQgjhclnF9u1ZwuWydpqGtuAsc4pNgzeJ3f+3W0iSJITo3PLylwavV/RZv158UVEhsrZv\nF1aXS25JzSixvJRMoLzahtLKq8rlEl1WrxazDx6UW0qLNJVXfUm9WNdrnTj02iF5BZ2DpjHCbt8n\nNm8eI3bunCYkydOpGs63jnm9XjFr1iyRkJAg1q5d276iOpitx7aKlNdTxO2f3i6sjraNz3K1yUbf\n2aInVd6zXIXgcDt4IucJpn09jezMbF685kWMOqPcsvyivLycSZMmcfDgQTZt2sTAgQPlluQXtbW5\nFBRcS79+rxEX9ysADIYIUlMXKnJG2GPzsHHARjy1HuqL6vHUeM79RzLxzyNHGBQSws0xMSxMTVXk\nbFSAAJcCkQYDy4YN42+HD2NtjM1XIuYkM8NXDefA/zvAhuQNFKQX4K5Wnt6mMSI4uDdDhy7D4Sih\nuPheJEl5Wk9Hq9XyzDPPMHfuXDIyMpg7d67ckvxmaLehbH5wMzHBMQx9ayirDq6SW9IFEQiTaIH7\nvriPRUWLCDOFsf5X60mMTJRbkt80xQc/8MADPPvss6qIDwaorl5FUdFk+vd/h5gYZa9kBl8e4aLJ\nRdSsr8Fd5ut0lZqjs9zlInXTJtaPGEGS2Sy3nFNYNWAaYWUluA1mkjdnE94r4py/a+vPA+cKnKul\nc8nNw7t2EazT8fd+/eSW0iqbR2+mLteXSUOpfdzJeL0Oioomo9EYSE39BK1WHfG4u3fvJiMjg3Hj\nxqkqjhhgye4lTF44mYTQBJKik8jOzFbkrruBmOE20vsfvTlQcwCArJQsFmYpPyAf4N1332XmzJnM\nnz+fm2++WW45flNZuZSdO+8hJeVjIiMnyS3HLw7MOkDVt1XownRYv1f29skP7tpFuE7H3xQ46G6N\nmMiwmh/llhHgEmBd9ywuP6ycvrzC5SIlN5fVw4YxIERZO6qdTHMeYgOk5adhSVXu1sJNSJKL4uK7\n8HhqGDToc8XtWHc2bDYb9913H0ePHmXx4sWqiSMGGD1/NLlHcwHl+qbWzLA6pg3bmZUrV571d7XO\nWkptpQCkxacx76Z5naTq/Jk6dSrx8fH85je/4Ztvvml3I9xaeV0oFRWL2blzCoMGfakaI1z5bSVH\n3zxK6uJUUj5JITYr9hQj3JHl1VYyt2/nv8eOUVBXR7UCH8m6DWZWAkXmNGoOWEGI5iM35kZo4Xdt\n/fnFdq5AeZ1feaWuUVZfHms0MrNnT64rKGBifj7pBQWKaKOn918p2b4+rufMnux6YBfeBm/Lf6gg\ntFojAwcuwGRKoKDgejyemg69Xnv1+aGhoXz66afcdNNNJCUlMXz4cNLT06murm6X83ckMWZfKr44\nS9w5fZOSxshmzhZM3NEHCl1A9+cf/yyyFmaJrIVZbQ4Kl4s+ffoIQAAiKyur3c/fUcHux469L9au\n7SZqa/M65PwdQf3OerEmdo2oXlt91u8oacFO1OrVghUrBCtWiKzt2+WWcwbVB6xiBYjqA2e2teoD\nVrG2e9YZv2vrzy+2c82JuVKRupR6rrPVLyXg9HqFaeVKRbXRs/VfkiSJ7ZO3i+IHipsXCysdSfKK\nkpLHRG7uCOF0VnTYdTqizx80aFCHjuvtjdVhFTd+eKOIeClCVNorW/2uEhfQBcIkTqKmoYZ+c/qx\n9oG1JEcnyy3HL5xOJ+Hh4TidTlVsq9xEaembHDr0V4YM+Z6QEHUs8PPUesgbk0f333UnfpryH19t\nr6tj5JYtuIRQdBonNBrfTF6AAB2BwutX6qZN7LDbld1GG/HUeci/LJ/4h+NJeDRBbjl+IYRg//5n\nOHHiS4YO/R8mkzq2Qm7axrlHjx4UFhaqYlwHmPrVVLqGdOUvk/4it5QzCMQM+8nzK59nX/U+/pvx\nX7ml+M27777LRx99RHR09Dm3VVYK+flXUlu7kbCwsQwa9IUiM0WcjpAE22/djrGrkf5zz77jmpK4\nt7iYRJOJnQ6HsnMGK9ysBFA5Cq9fx5xOem/YwIphw7iscWdQJePY6yDv8jxSF6USMUH5fXcTBw++\nyMGDL2KxDEGnC1PkbnUnU11dTVZWFjt27GD//v0YjerIZnWg+gAj541k12O7mkMnlEIgZvg0WopX\nqW6oZs6mOfxpwp86X9B5IkkSs2fP5o9//CMLFy7sMCPcnvE9Qniprd2AEE5qan6kpET521ECHJx1\nEHeFm6R/JZ3zu0qIhzrU0MC3lZU82aOHolOprRowjZVAbmw6NQeVHxenBJRQv9SCGupXnMnEnxIT\nmXv0qNxSgHPXr+C+wQx8fyA7bt9Bw+GGzhHVDvTq9Qe0WhO1tWuxWnPadezpiDYZERHBsmXLSE1N\n5aOPPmr383cUiRGJTB44mVfXvXrW7yixD7skzXBL/H3937mp/030i1Leivuz8eWXXxIWFsbEiRPl\nluI3lZVL0GqDAbBY0khOVtailpbYev1WDvzlAFqTFq9D+YtHAF47fJhfxcUp1gQ3EVZWAsCoEzkU\nXaGOG6MA6kEt9euR+Hi+rqzkcIM6zGXU9VF0f6I7m0dsJm9CnmJzEJ9OcLBv+2C1jD0AM2bMYPbs\n2UiSJLcUv3lmwjPMy5tHRX2F3FL8JhAmAVgdVpLmJLFx6kb6RvWVW45fCCEYO3Ys06dPJzMzU245\nflNYmE509M+prl5JcvI8RT+mAl94xI9BP0JjP6+GPJuVbjdJGzeyfdQo4hWeqzI3Nt1nVMxpdN+x\nTFF5YAOoHzXVr6f27MELis873IQQgjUxa/BW+SYI1NA3ut1W1q/vSUrKJ8TEpMstxy+EEIwaNYo/\n/elPqkqZ+si3jxBqDOXla1+WW0ozgTCJc/Da+tfIGJChGiMM8OOPP2K1WsnIyJBbit84HHux2XLp\n1u1+xe4qdzo1a2vQmnzNxJJmIXme8hdW/ru0lFtjYhRvhAGSN2cDKN6oBFAnaqpfv+vRg/+WlVGl\ngPRq/qDRaAju3fiUTyV9o8EQSZ8+szh+/AO5pfiNRqNh5syZvPTSSyhlAtEfnh7/NPPz5nO8/rjc\nUvzikjTDJ8erVNoreWPzG/xxwh/lE3QevPzyy0yfPh2dTtfh12qv+J6jR+fStesUdLrgdjlfZ1Cx\nsILuT3Q/I5dwa8gZD/Wr4mJmHThAicOhiJyl5yK8VwQrG18D+IcS4+2UiprqV4LJRKzBwMjNm2XN\nOdyW+jVkyRAwwID3Bihyw6GW6Np1CpWVObhc5e12zo5uk7fccguVlZWsXr26Q6/TnnQP686dg+9k\n9trZZ/xOiX3YJWmGT+bV9a+SOTCTxIhEuaX4TUFBAYWFhdxzzz1yS/Ebr7eBsrL3iI9/WG4pfiO8\ngopPK+h2bzdSF6aqorPPq6vDA6yuqWFaSYnccgIECNAGTBoNB5xOcqxWVbRfYxcj3e7uhnWZVW4p\nfmMwRNClSxbHjr0jtxS/0el0PPXUU7z8snJCDvzhD1f8gXfz36WsrkxuKefkkjTDTQvOTthPMHfL\nXJ4Z/4y8gtrI7NmzeeKJJzpt7/L2WKBXUbEIi2UEZrM64uEAatbUYOxmxJxsbtPfybmgsaFxkUWa\nxcK8ZOU/tlw1YBoTUfZqf6WhpgWzcqO2+tW1MX2WnO23rfUr9rZYKhaqZ6EUQHz8rzl6dC5CtM+C\n6M5ok/feey/5+fkUFhZ2+LXai4SwBO4Zcs8Zs8NK7MMuSTPcxN/W/Y3bUm6jV0QvuaX4zf79+1m6\ndCkPPfSQ3FLaxNGjb5KQ8Gu5ZbSJ4wuPE3tbrNwy2sRAs5lRKkje34RaVvsHUCdqq1+LUlOx6HS8\n1q+fKtovQOSkSOwldhoOqSMTBkBo6AiMxjgqK5fILcVvgoKCeOKJJ5g9+8ywAyUz84qZ/Lfgvxyz\nHZNbSqtckmZ45cqVVNRXMD9vPk+Pf1puOW3i1Vdf5cEHHyS8E5OzX2h8j82Wj9N5hKion7WPoE5A\neAUViyuIzWq7GZYzHiq/vp4PUlJUM5C6DWZWAkXmNFLXqCPVkdwoMd5OqaitfkUYDGTGxFBst8um\noa31S2vQEpMRQ8Wn6podTkj4NUePvtEu5+qsNvnwww+Tk5PDgQMHOuV67UFcaBz3DrmXl9f+FOKh\nxD6sw8ywRqO5QaPR7NRoNLs1Gs2MjrrO+fLKule4PfV2eoT3kFuK31RUVJCdnc0TTzwht5Q2cfTo\nm8THP4RWq5dbit9Ur6rGlGDC3K9tIRJyUu5yUe3xkBSsngWKalrtH0B9qLF+jQkLY0Ntrdwy2kSX\n27pwfKE6sgY0ERt7GzbbZhyOvXJL8Zvw8HCmTp3Ka6+9JreUNjHjihm8X/A+pbWlcks5Kx2SZ1ij\n0eiAXcA1QCmQC9whhCg+6Tuy5Rkurysn5Y0UCh4uoHtYd1k0nA/PPvss5eXlzJ07V24pfuPx1LBh\nQyKjRhVjMnWTW47flPy6BFMvE71mqieE5qsTJ3i9tJTvhg6VW0rbUPh2uQFUjsrqV77Nxt3FxRSN\nHi23FL+R3BLr49czcvNIgnoFyS3Hb/bu/T2goW9f9YQeHDt2jNTUVEpKSoiJUdZ2x63x1PdP4fQ4\nmZM+RzYNcuQZHg3sEUIcEEK4gY8BxWSLnr12NncNvktVRriuro4333yTp556Sm4pbaKs7H0iI69X\nlRGWPBIViyvoktVFbiltYmNtLWPDwuSWESBAgAtgcEgIBxsaqPV45JbiN1qDlphb1BcqERf3EGVl\n/8HrVU+8c1xcHJMnT2bOHPlM5fkwfdx0srdnc6T2iNxSWqSjzHACcPikz0cafyY7ZXVlzP9sPjOv\nmCm3lDYxf/58Jk6cSFJSUqdf+3zje4QQjQvnHmlfQR1MzY81mHqaCO57fuEGcsVDbaytZYwKzfBK\nuQWoDCXG2ymZlXILaCN6rZbhoaHk2myyXP9861fsbbGqC5Uwm/thsYykomLRBZ2ns9vkU089xZtv\nvkl9fX2nXvdC6BLShV8N/xUvrn5RkX1YR5lhxT6T+vlHP0ev1TP1q6lUNyg/1U4Tzz//PLt37yY9\nPZ3qanXoLirKxOHYx8GDL+J2q0MzwO7f7sZ9wk1BegHuauVvXNHE6poaZh04IGvC/rayaoBvhb9a\nUl8FUBdqrV81bjdTd+5UVVuOmBhBXUEdW8ZuUVXfKYREScmjFBSkq2acSk5OJiQkhKFDh6rKE/z+\n8t/zdv7bPPLtI6R/lK4oD9ZRK5pKgZNXpvXANzt8Cvfddx+JiYkAREREMGzYsOb8c013Du392S25\nsXazkrMsh4zdGax8bmWHXq+9Pms0GgoKCigoKGDatGk88sgjnXb9iRMnntffl5TsJjnZidW6lA8/\nzKB37+cUU56tfZacEhsPboSDoJ+mJ3VhaqeU14V+1hQUsL4xXjjjww95rndvRZRna58jykoYBqw8\nkcMHaRk8VrFSUfqU+Fmu+qXGz2qtX578fA44HBwYNoxpJSU8UlHRade/kPplGWzBttHGVraSl5HH\n/Svv73C9F/pZkpzk5dmAHPT6aaSmLmzz+Zp+1pn6g4ODKS4uZu/evWRkZPDcc+oYX4d0GcLmPZsp\nXlbMNOM0Fma1vbz9/dz03p/sGx21gE6PbwHdJOAosAmFLKC78cMbWbp3KYkRieQ/lE9EkDpWGI8f\nP541a9YwYsQIli9fTkSE8nUXFKRjteZgNMYzalQRBoPyNQNsvWYr1cursYywMHS5f1swK4Ee69Zx\nxOUiTUV5hnNj0305YM1pqlrxH0AdqLV+pRcUkGO1qqotAxSkF2DNsWJJs/i9fb3cNI1TFksaQ4cu\nU804lZ6eTk5ODmlpaSxbtkwVngAg/aN0cvbkkBafxrJ7lnWqB+v0BXRCCA/wGPAdsAP45GQjLCcL\nJi9gqGMoCLAYLXLL8Zuvv/6auLg47rjjjk6v9CffZbWFlJRsIiOvRQiBTqeesk79NBVDFwMJjyec\nV2d+vuV1ofy+Rw96mkyqGjyTN2ezEnWlvpIbueqXGknenM2/Y65UXf3KTkkhKzZWlrZ8IfUrJTuF\n2KxY1Rhh8I1TsbFZF2SE5WiT2dnZZGVlqcoIA2RnZnOluLLTjfC56BAzDCCEyBFC9BdC9BNCvNhR\n12krEUER/OOGf9A7sjcfFHwgtxy/iYiIYNGiRbzxxht4VLLK2GCIYOjQ7wkO7kNl5ddyy/EbQ4SB\n3n/pTdW3VXJLaRNXRUZi0mpVY4SBZoOiJqMSQD2E94pg0KLnVFe/IgwGFqamqqotg6/vTF2Yqhoj\nDL5xKjV1oWpmhJuIiIhg4cKFqjLC4PNgz018TlFGGDooTMKvC8uYZxhg9cHVTPliCrse24VBp56G\nO378eB599FFuv/12uaX4TXl5NmVl/2Ho0GVyS/Ebd6WbDX02cFnpZegt6tgsxCsEkWvWcGDsWKLU\nNIiqLA9sgAABAgRQH3LkGVY843uNp09kH/5b8F+5pbSJGTNm8PLLLyPnjURbiY3NpK6uELu9RG4p\nfmOINhB2WZiqZod1Gg1poaFsUtHuVWpd7R9AHawaMI2tERMD9StAgACtckma4ab4nucnPs+sVbNw\neV3yCmoD6enpuN1uvv/++0675oXGQ2m1JuLiHuDo0bfaR1Ancb5bjMoZ0zkmLIyNMuUnPR/CykpY\nCb5FTldMk1uOKgjEDPtPWFkJ1TU/BupXGwjUr7YTKLO2ocTyuiTNcBPjeo6jf0x/3tv6ntxS/Ear\n1TJ9+nRefvlluaW0Cd9OP+/j9drlluI3MRkxWJdZ8djUEaMNMCY0lA0qmhl2G8wAFJnTSF0zT2Y1\nAS421Fa/PJKkqqd+AQJcLFyyMcNNbDiygdsW3cbux3dj0pvkluMXbrebfv368emnnzJq1Ci55fhN\nYeHPiY29lbi4B+SW4jeF6YV0vacrXe/oKrcUv7h7xw4+Pn6cqyMjWZiSovgFODUHqwlPjKTmgFV1\ni5wCKB+11a/Lt2zhkNPJkJAQslXQfgMEUBOBmOFWGNt9LKldUnk3/125pfiNwWDgySefVN3scELC\nIxw9+qbcMtpE7G2xVCyskFuG3xxxOvECy6xWppUoP0Y7kE0iQEeipvrlliS21NVR6nKRo5L2GyDA\nxcIlaYZPj1d5fuLz/HXNX3F6nPIIOg+mTp3KqlWrKOmEDrO94nuioq7H7T5BbW1uu5yvM4i5OYbK\nbyrJuyLP7y1G5YyHMmt9Tdqo0fB6UpJsOtrCSrkFqAwlxtspmZVyC/CTT44fJ0SnAyDNYmFecrIs\nOtpSvwpuKGDLGHVtv9wRBNpk21BieV2SZvh0RieMZkjXIbyd97bcUvwmJCSERx55hFdeeUVuKX6j\n0eiIj3+Yo0ffkFuK3xgiDehj9dSurcWaY6VkmrJna5qS9Y8KDeV7q1VuOeckkE0iQEeilvolhODl\nw4eZ37+/bJtttBXbVhvW5VZsm2yq6BsDBGiNSz5muInNRzeT8XEGe36zhyB9kNxy/OLEiRMkJydT\nVFREXFyc3HL8wuWqYOPGJMaO3YfBECW3HL8ouL4A6/dWjAlGRm0fpYqE8jmVlczct4+taWloNC2G\nSCmCrRETGVbzIwDrumdx+eGFMisKcDGhlvr1bWUlf9y/n7yRIxXdXptwnXCRNyoPXbiO+oJ61Wy/\nLElutFplawzQcQRihv0gLT6NEXEjmLdF+SuOm4iJieHuu+/mH//4h9xS/MZojMVojGXTplQKCm7E\n7VbubE0TKZ+kEPXzKIRXULteHZkabojy3WgsrVJ2nmS1rfYPoC7UUr9eOnSIGT16qMIISx6JHb/c\nQWxWLMNWDlPN9sv19cWsXRvDli2XU1CQroqxJ0DncUma4bPFqzw38TleWvMSDrejcwVdAE8++SRv\nv/02NTU1HXaN9o7vMRi64naXYbUuZdeuB9v13B2BIcLAkK+HkLoolZ1TdmLf3Xp6OCXEQ2k0Gmb0\n7MlLhw7JLaVVkjdnsxLovmOZKhY5KQEl1C+1oIb6ta6mhlKnk8mxsXJLAc5dv/bN2IdGp6HPi31U\ns/2yzZZPQcHVGI1x2GzrsVpzKClpv7zTgTbZNpRYXpekGT4bI+JGMDphNHO3zJVbit8kJiYSFRXF\n0KFDSU9Pp7pa+Xe7Ol1Y86sQLiRJHZueRFwRQeLziWzP2K6K3MO3xcaSZ7MxPDeX9IICqt3KW+Ci\nptX+AdSHGurXHTt2oAN+sW2bItvoyZRnl3PiixOkfJyCRqf8WWyAmpp1FBbeQFLS6wQF9QHAWaHW\nNgAAIABJREFUYkkjOVm5TwoA7rvvPlJSUlQzrqudQMzwaWwt28qNH93I3t/sxdz4iE3pjBkzhk2b\nNgEwefJkFi1aJLOi1nG7qykpmUZS0hxKSh5Gkpykpi5GpwuWW9o5EUJQMq0Ed5Wb1E9TFf9YM3nD\nBnY3NACQFRvLwtRUmRW1gEYDCuwLAlwkKLh+raup4aqtW3E16lNsGwVs+TYKrytk6A9DsQy2yC3H\nL6zW5ezYcQcDB37QmM3IN/YkJ8/DYFDuDVJJSQnDhg3D4fA9pc7KymLhQmXGu6uJQMxwGxjWbRiX\n97icN3PVkw83OjoaAIvFgs1m69CQifbAYIggNXUhRmNXUlIWotdHsW1bOh6P8rcR1mg0JP07CddR\nF4f+quwQBIA+wb4bjL5BQbKlagoQIMCZSELw2z17GGD2TbrImU7tXLhOuNh+y3aSXk9SjRE+ceJr\nduy4g9TUT4mKuh74aexRshH+9ttvueKKK+jTxzeLnZaWxrx5yp7FbsIreeWWcN5ckmb4nPEqAmb+\nbyaj54+mukH5jyeys7PJyspi79699OvXj9GjR1NcXNxu5+/I+B6t1sDAge8THJxMQcE1uN3KXvAF\noDVpSV2cSukbpVR+W3nG75UUD/VxSgoTwsPxCEFwYw5TJbFqwDRW0nLqq1UDprE1YuIZv2vrzy+2\nc71tGaZIXUo910qUmVrto/JyNMCKYcMUlU7t9P5L8kjsuG0HXW7vQpfbusgjqo2Ul3/Mrl0PMnjw\nt0RETOjw67VHny9JErNmzWLatGl88cUXrFmzhqysLJYtW0ZEhHLNO0C9q56Brw8k8R+JpH+Ufk7f\npKQxshkhhCyH79LysGLFilZ/f+V/rhQ8h+A5RNK/koTD7egcYe3Eu+++K2JjY8Xnn3/eLuc7V3m1\nB5Ikid27/09s2jREOJ1lHX699qB6bbVYaVopckfmiq03bhUuq0sI0Tnl1VZ+UVgoXjp4UG4ZZ5Af\nfqVY4XuIHTj8PALldX7ltbZ7ltzVvRmb2y0S1q4V66qr5ZZyBif3X5IkiY0DN4pVkavE1ht+6uOU\nTGnpfLF2bbyw2Qo77ZoX2ufX1taKjIwMMXbsWFFaWto+ojqJzaWbRfKcZNFldpdm35S1sPW2JtcY\n2eg7aem4JGeGJ06c2Orvm2KFh3UbRv+Y/ox5ewxFx4s6QVn7cP/99/PNN9/w+OOP8+yzzyJJ0gWd\n71zl1R5oNBr69n2F2Nhbyc+fQEPD4Q6/5oUSfnk4QX2CqNtSd0rS+c4or7byt759eeXQIcqcytpl\n0W0wMxFf6quaA9ZTbExuzI3Qwu/a+vOL7VyB8jq/8lJSarXZhw9zZUQEl4WHyy3lDJr6L+EVlPy6\nhIbDDXitXqxLlb+xxuHD/+DgwVkMG7YSi2Vwp133Qvr8kpISxowZQ2xsLCtXriQ+Pr79hHUgXsnL\ny2te5saPbuT5ic8zMn4k4EtTO++m1tuaEsfIFh1yZxy+SysTq8MqshZmCavDKiRJEu/kvSNiZseI\nf234l5AkSW55flNWVibGjx8vfvaznwmr1Sq3HL85dOhVsX59orDb98gt5ZxsvXGrWMEKsUK/QlR8\nUyG3nFb5v927xdSdO+WWcQrVB6xibfcsUX3gzPp5tt+19eeBcwXO1dK55OKgwyGiVq8WhxzKfeLo\ndXlF0Z1FIm9Cnth6ja+Py03LVezMsCRJYv/+P4sNG5KEw6G8J2Bn4+uvvxaxsbFi7ty5cktpE4eq\nD4kr/3OlmPCfCeJgta+8T/ZNSoVWZoYvSTN8PlP0JSdKxKh5o8SNH94ojtmOtb+oDsLlconHHntM\nJCUliaKiovM6hxyPNEpL54q1axNEXd32Tr92W3BZXWJ71nZx/PPjYk3MGnEi54QiwySEEMLqcong\nlStFv/XrxWWbN4v9drvckoQQygwrUTKB8mobSigvjySJPXa7+ObECZGwdq3ouW6duHHrVmF1Kc9c\n/u+7/4nCmwtFwY0FwlPvae7jlGyE9+yZLjZtGiQaGuQZm9tax7xer3jhhRdEQkKCWLduXceI6iA+\n3vaxiJ0dK15c/aLweD3ndQ4lhkno5ZyVVhNJ0UmsfWAtz//4PMPnDmf+TfP5efLP5ZZ1TgwGA3Pm\nzOG9997jyiuvZN68edxyyy1yyzon8fHT0OksbN48iuDgPphMPUlJyVbcKuCmpPMAxi5Gtt+ynepH\nqmGivLpaIsJgICk4mEK7nT0NDfTbuJEYg4EBZvMpx3/LyjjqchGi1ZKdkqKIRT0BAiidaTt3Umy3\nIwFTunXjsNPJTrudnXY7exwOuja2NQ1wyOnkkNPJtJISRaVS89Z72f+H/XTr242BCweiNWrRmXXN\nfZzScLutbNkyCpernLCwMWi1QXJLOie1tbVMmTKF8vJyNm3apJqwiFpnLY/nPM76w+tZctcS0uLT\n5JbUrgTyDJ8Hqw+u5p7P7yE9KZ2/Xfc31eQjzs3NJTMzkylTpvD888+j1So/ZDw3dzj19VsBiI6+\nmcGDv5BZUevYttrYduM2+rzUh25Tuskt5wzSCwrIsVpJs1j4fuhQ7JLUPGA3Hauqq5vznnYxGLg5\nJobeQUEkNh69g4LoajQqPsdygADtjcPr5WBDAwcaj/0nvc+z2WjaiqeH0cgDcXHNN5hJZjMhjdlc\nTm6DSskgAeCudrPtZ9sw9zfTf35/xW+qUVX1Hbt2TUWSJNzuowDExmaRmqrcfLy7du0iIyODCRMm\n8K9//QuTySS3JL9Yf3g9d39+N5N6T+Lv1/+dEGOI3JLOi9byDAfM8HlS3VDNo0seJe9YHtm3ZjM8\nbrjckvyivLycrKwsQkND+eijjxSfsqWgIB2rNQeDoQsajZ7+/d8hOvoGuWW1Sv3OegqvK6TnjJ4k\nPJogt5xTqHa7mVZSwrzk5LMOwk2D9SCzmf+XmMgJt/uUQX9/QwOVbjdGjQazTsc1kZEkBgWRYDKR\nYDIRbzSSYDIRZzRiUMENV4AAQghqPB6OulyUOp2UOp2nvF9bU0ONx4MH6B0URN/g4OYbw6abxD/u\n388P1dXnNLn+tMHOxlXhovD6QsLHh9Pv7/3QaJVrhD0eG3v3PkVV1VIGDHiXQ4dexWrNwWJJY+jQ\nZYp7etjEN998wwMPPNCcPk0NeCQPs1bN4q3Nb/HWz98iY0CG3JIuiIAZPo2VK1e222rGjwo/4nff\n/Y7p46bz5GVPotUof/B3u908+eSTvP/++yQnJxMbG0t2dvZZjXF7lldbOXnHoLq6Lezc+Suioq6j\nb99X0etDZdF0LlauXMmYxDEUXFOAPlKPzqxDG6IlJTsFQ4QyBr/W8GewHp+Xx5raWgBGWSzcEhvr\nMw6NBuKo08lxtxsdoNVoCNZquSoigh5BQXQxGOhiNNLFYKCr0ciMxYtxDx2KRadjQSAs45zI2R7V\nhFcI7i8uZuPq1USkpfFwfDz1Xi/lbjfHXS6ON75uq6ujTpLQ4jO6PRtv7Jpu6hJMJmYdOEB+fT1w\n9l3ilGhy/aHojiJOfHkCU7yJkbkjWVuwVrH1y2pdya5d9xMRMYl+/V5Drw9TxK5yrbXJBx98kGXL\nllFWVsZXX33Fdddd17nizpN91n3c/dndWIwW3st4j/jQ9gvnkKsPa80MB2KGL5C7htzFuJ7juPuz\nu8nZk8P7Ge+TEKas2cDTaYojXrZsGZs3bwZ8+6B/8YXyQhCadgwCiIycxKhRhezZ8ySbNw+hf///\nEBk5UV6BZyE4MZjhq4azccBGJJsvtV3+Ffkkv5FM6OhQdEHK2wCjiQiD4ZxxjKGNj3ybwi1aGvy9\nQnBFXh4bbDbsksShhgbGhodz3OVil8NBucvFcZeLgpoaPI3GOm7dOvqZzUTr9UQZDEQbDETr9ayo\nrqba7cas0/FsYiIJJhMRej3hej3hOh1BCtxQJMCFIwmBzeulxuOhxuOhuvH11cOHOdKYJnBSZCR1\nXi9VHg+VbjeVbjdVHg+1Hl/QgtfhAJuN0v37uTkmhi5GI8MtluYbsif37CG3rg4vMDw0tMW6//bR\no1Bf3+oucf60GyXQcLiBmtU1VK+qpmZ1DfaddpCgYW8DJQ+VwCNyKzwTr9fOvn1/oKJiMf37zyU6\n+mfNvzt5jFAaK1as4OOPP6aurg6At99+W/FmWAjBB4Uf8H/f/x/PjH+G34z5jSom+S6US3JmuCPw\nSB5eWvMSczbN4Y30N8hMyZRb0jlJT08nJyeHmJgYhBDMnDmTxx57jKAg5S9CqKz8ll27HiI2NpM+\nfV5Ep1Nm3HZBegHWHCtB/YKIui4KW66N+h31hA4PJXx8uO+4PBx9uLruS/2dBfMnPrLpOyMsFt4f\nMAAvNBuaSrebKreb10tLOeJyAdBFr6dncHCzMar2eNAC4Xo9DZKEJAQGrZbRoaFEGQxYdDpCdbrm\n1y9OnKDS7SZYq+WZxES6GAyYdTrMWu0pr8FaLdpAXLTfuCUJuyRR7/Vi93qxS9Ipr38/coQjTic6\njYbMmBg8QJ3Xi83j8b16vdR5vRTb7dR7vUhC4AUsOh3her3v5qfxfW5tLRWNZndoSAj/16OH7+ZJ\nryfaYCDKYCBCr+emwkK/619r31HrrK8QAvtOOzWra3wGeHU1kl0i/IpwwieEEzE+gn3P7MP6nRVL\nmoWhy4Yq7ulVTc16du68j9DQNJKS5mAwRMkt6Zxs27aNmTNnUlxcTFhYGAUFBaSlpSl+Nzmrw8rD\n3z5M0fEisjOzGdJ1iNyS2pVAmEQnsvHIRu7+/G4m9JzAP2/8Jxajcvdxr66uZtq0acybN4+jR4/y\nhz/8gYKCAv785z9z1113KX6Bndtdxe7dv8Fm28SAAe8RHn653JLOwF3tpmRaCcnzkpsHGU+dh9r1\ntc0DVG1uLeYkM+Hjw6nfUY+3zos+Uk/KAnWEVbSGPyaiLXHMLRkWIQQNkkSNx8Mvtm0jt3EWZlxY\nGL9OSDjDcGWXl1PmdgPQ1WAgyWxu0bzZGzer0QERej1mnQ6TVkuQVotJoyFIq2Wfw0GDJGHQahkb\nFkaITodRo8Gg1WLQaDBqNPzQOKtt1GqZHBuLRadDp9E0H3qNBh3w8fHjHHe5MGq1PBgXR4hOh0aj\nQQPNx3tlZZQ1fufhuDiCdToEvhlUAc3HB2VllLtcGLRa7u7SBaNWixffbL1HCLxC8FXjTYFOo+Ha\nqCi0gEsI3ELglqTm9/k2G3VeLwA9goLwCIFTkmiQpOZXhyQh8D1qjG68ATn9BmNjbS0nGg1s/+Bg\n7unW7ZSblKb3v92zhy2N/4eTY2NZ1MJsq7+L0Nqr/qkFr93Ljjt3UL/N148Ij0Afpv/pxnt8OOb+\n5lMWv7bURykBSXKyf///o6zsPZKTXyc2VvkTTIcPH+bZZ59lyZIlPP300zz88MM4HI7mcVbJRnjl\ngZXc+/m93DLgFl665iWCDcFyS2p3Amb4NDo6XqXOVccTOU+waMci+kT2IT40nuzMbCKClNsQmli9\nejXTp0/H4XAwe/ZsrrvuOsXHKFZULKak5FG6dbuP3r2fR6uVd4VuW8tLcknYttioWV3DoZcP4any\nGQZ9rJ5u93TDMtxC6IhQ3yCm8BXe54M/5dURM9HnMlJX5uezqqYGgJuio/l3UlKz+Wsygo+UlLDN\nbgdgbGgoj3XvfoqRdEsS/zpyhP2Nj/QHms3cEhODt3HW09toTD1C8HlFBccaTXpvk4mrIiN/MriN\nZndpVRXHc3Nh2DB6mUxMjIhAe7Jhbnz/9YkTzYY/KSiIm2JifjLejeb7vbIyDjbqGhYSwrT4eIwn\nmXiDVotRo+GZffua/43XRkbyz379fropaHxNLyhgVWOoy9liav0t9/aeqVV6/3W+uK1u6vLrqMuv\nw5Zvoy6/job9DaAFqd53Ixf18yiGfN222T0llJfNlkdx8b2YzckkJ7+F0dhFVj3n4ptvvmHNmjXM\nnz+fhx56iBkzZhCuwN0FW+L+L+5n+f7llNeX8+EtH5KVmtXh1wzEDF8iWIwW3rn5HTYc2UBBeQEF\n5QXclH0TP97/o+Jjb8aPH8+6dev47LPPeOyxx+jVqxdZWVmyd46tERubSXj4eLZsGcORI//EZIqn\nX785REVdh1ar/CquNWoJvyyc8MvCsa60Ys2xEjIshMQ/JmIvsVP5VSUHnz+I85iTkEEhhA4PxTLc\ngmW4hZDBIYqOP24v/I3HzE5JOadJ8uc7ACGNT0bSGsM3Wvpud5OJbXY7aRYLOUOGtPid76uq2O90\nntME7nc4OOaPkW/U1KqhbGg4p6HcVFvLQT90vVla2vxvXHiWBY4hJ8WQny2m1t9y9+d7aonPbQ+E\nELiOupoNb9PhPuEmZGgIoSNCiZwUSY+nehCSEsK2jG1Yc3xhDwM/GCi3fL9xucqprMzhwIEXcDoP\nExKSQv/+72AwRMot7aw4nU5ef/11XnjhBSZPnkxhYSEJCcpeM9TE8frj/Gvjv/iw8EM8wjcBs2jH\nok4xw0rkkpwZ7izSP0onZ08OfSL7YDaYEULw+8t/zx2D78CoM8ot75y43W7efvttXnjhBa6++mpm\nzZpF79695ZZ1VvLzr6SmZhUAOl0EGo2GyMjriI5OJyrqBsXPLkDrjyw9tR7qChpngvJ8A2N9UT0a\nowZ9qJ6ud3XFMsyCeaAZc38z+jDl3wgomfZ6xO7vLOalcK4AZ0dIgoZDDdh32rEX25tfazfVIrwC\nfbiernd3JfyycCzDLQT3C24xBZpSwx5ORwgvNttmKiuXUFW1BIdjD5GR11BXV4jDUQIoN2+wJEks\nWLCAZ555hsGDB/PSSy+RqpKbs71Ve/nbur/xcdHH3J56OztO7GDVwVWkxaex7J5lqniCfb4EwiRk\norqhmmlfT2PeTfMIN4Xzv33/4+W1L1NSWcLvxv6OqSOmEmpSZnqwk7HZbLz66qvMmTOHKVOm8Mwz\nzxAdHS23rDNoyknclG9SkuxUVS2lsnIJVuv/MJuTiY7+GVFR6YSGjkSj8Fl6f8ibkEftat/jaXOq\nGcsQi28Q3WVHH6H3GeMBZkIGhmAeYMY80IwxLrBhRoAAcuFt8OIocfja6cnGt8SOPlJ/Sls1DzCz\n75l92DbYAIjNilXsbnD+4HZXUVX1PVVVS6iqWorB0IXo6J8RHZ1OWNjlaLWGM/pxpeUNXrZsGTNm\nzMBgMPDKK68wYcIEuSX5xZajW5i9bjY/7P+Bh0Y+xOOjH6erpespPuViNsIQMMNnIHdM1OmV8jdj\nfkOXEOXOWjaVV1lZGS+88AILFy7kqaee4oknniA4WDlB9q3lm5QkFzU1a6mqWkJl5RLc7hNERd1A\ndPTPiIy8tl0fxXVm/WrKVnH6SnAhCZyHndQX158y4NZurEW4BVqzlvDx4YT0DyGoTxDBfYIJ6h1E\nUO8gdMGdG3Yhd3tUG4HyahudXV5CCFzlLhr2NdCwvwHHPgcN+xpw7Hdg22xDsktozVoiJkZgGWJp\nNr3mAWb0oWc+zTlbG+8o2rO8hBDU1xdSWfktlZVLqK8vJCJiIlFR6URH30hQUK8z/kYJeYNbYuvW\nrcyYMYN9+/bx17/+lcmTJzdPKii1TQohmifhdlXu4smxTypiEi4QMxwAgJHxI/lk8ifsqdrDq+te\npf+/+3N76u08dflT9I3qK7e8s9KtWzfeeOMNnnjiCZ5++mliYmKIi4ujZ8+efPbZZ7KvlG0t36RW\nayQy8ioiI6+ib99XcDgOUFWVQ1nZ++zaNRWt1oxWG4zR2IVBg77AZIrrZPXnR0p2SouPRDVaDUG9\nggjqFUT0DT/N4udPzKfmxxqkOglvtRdjghF7sZ2qJVW+QftgA4YoA0G9fQa5vqger92LPkxP0utJ\nhKSEoAu5+GOUAwQ4G0ISuI67cB5xsu/pfTTsa0B4BOYBZpxHnDTsb0Bn1hHUJ6i5HYWNC6Pr3V3Z\n9/Q+bJtsSPUSOrOOPn/tc87rna2NKxEhBE7nIYqL78Nu34nHY8VojCMm5hckJj5LePgEdLrWU3cq\nKW+w1+vl5ptvJjc3l+rqambNmsVvf/tbDAoPBfJIHj7d8Smz187G5XUxfdx0bh90uyrCM+XikpwZ\nVhrldeXM2TSHtza/xaQ+k5h++XRGxo+UW9Y5GT58OFu3bgUgOjqap59+mszMTHr1OvNuX8l4vQ62\nbBmD3b6t8Sc6QkPTCA8fR3j4FYSHj1NFvLE/nGuWSUgC51GnbyZrn4MD/+8AzkO+jANaixa8oDVp\nMXU3+Y4epp/eNx6HZh+i4UADWrN6dt0LEABg59Sdvjh8jYb4h+PxWD00HG7AecTZfLiOudBH6DF1\nN9FwoKE5+0vY5WEkv5lMUO+gFmd4ofNneTsaSfJQX19ITc1aamrWUFOzFvAiSR48nhOAcuN+z4bb\n7WbFihUsXryYL774gvr6euqbdh/MymLhQuX+W+xuO//J/w+vrn+VhLAEZoybQXpSuuIX7ncWgTAJ\nlWBz2ng7721e2/Aa/aP7M2PcDK7pc41i4zubNu0YOXIkM2bM4LvvvuPLL7+kV69eZGZmkpmZSfJZ\nVpYrjZPj1AYP/hKHY3dz515Tsw6jsUuzOQ4LG4fZ3F+x/y+t0dbFNacP3vpwPR6rB+dh5ykG4eTD\nXuLb0QpAH6UnYkIEhq4GjF2NzYehqwFjN997nUWnyrIMoA4kj4T7hBt3uRtXmQtX+U+Hu9zte9/4\nc/dxd/PfGeONxE6OPeNmzxRvQmvymYu2mlu1LG47Gx6PjdrajdTUrKG2di21tRsxmXqcMnEQFNSH\nwsKfKTru93QaGhpYtmwZixcv5uuvvyYpKYnMzExuvfVWHn/8cXJychS9aUalvZLXc1/n9dzXuaz7\nZUwfN53Leygv777cBMzwaSg1vqcJl9fFx9s/Zvba2Rh1RqaPm87klMnoZUoTdrbyOnnTjqYOwuPx\nsGrVKj799FM+//xzYmJiyMzMZPLkyaSmpirW9LQWpyaERH19UbM5rq1di8djaxwAxlFTswa3uxqd\nzkJKSjZr125VdP1qC+czeDcZhJDBIfSZ3QfJLp1qOE4zJXkNeQw3DEdr0mIZacHUzYQh2oA+Wo8h\n2tB8nPxZF3rpGmil918dieSW8FR5cFe6mw9PZcuf67bV4a3zstWzlbToNExxplNuwoxdjc3vm36+\n876dbdqNTe3mtiWa6tfOndOor9+GJDUQFjYam20zdvtOQkNHEBbWZH4vw2A4czG1UuN+T6a+vp6c\nnBwWL15MTk4OQ4cOJTMzk1tuuYUePXo0f6+lce505GqTB6sP8vcNf+f9gve5ZcAt/H7c7xkQM6DT\ndbQVJcYMB8ywgpGExJLdS3h57cuU1pYSZ4lDq9ESagrt1E08zre8JEli3bp1LF68mM8++4ygoKDm\nGeMRI0ao2sw4naXNjwaPHXsXSfI9RjOZEjly5CauvfY2LJah6PXKzxbS3rTFIAghmD9kPsnbfU8Q\nwq4II/6h+FMMTkvmx1vvBR1oDBrMSWafWY7Qow/XowvXoQ/XNx+6cB1l75bhLHOiD/HFPhvjfTPS\nWpNWdfVQLf3XyQivwFvv9R11XvbN3IdjrwONXkP8tHiER+Cp8eCp8eCt8freV3tO+ZmrzIXwCDQG\nDUGJQRi6NN4oRbV847T3qb3UbaljK1u5Nutav7IwXIzm1h+EEDQ07KOubivLln3BoEFVVFUtA3wz\n5SEhg0lOfovQ0JGyb2p0IdTU1PDNN9+wePFili9fzujRo5k8eTIZGRl07dr1vM/b2W0y85NM1hxa\ng7XBykMjH2LmFTNJCFNHfmMImOFTLxwIk2gT6w6v4xcLfkGloxKAcT3Gsfze5Zj06uiYhBBs3ryZ\nxYsXs3jxYjweD7feeiuZmZmMHTtW8Vs/t0ZTiIXZPJBu3abicOyiri6f+voiTKZ4LJbhzUdo6HCM\nxvPvdC9GzieO8uSUchHXRNBzRs+fTFQLpsr6gxVvjW9LYW2wFm2wtnm7Wp1Fhy5E53s96X39znok\nu4TGqCE6PRp9uB5tkPasx9F5R3Edc6EN1pL4QiKGKAMavQatQYvGoPnpOOlnu3+7G8ceBzqzjpSP\nUtBH6kHDBRl0IQQIX/w3EpT8ugR7iR1tkJbkN5PRmXUIt0B4BJJb8r1vOjyCgy8epOFQA1qDloTH\nEtDoNEgNUqtH9Y/VeKp9sbNBvYN8P6+X8Nb5zK/klNCF6NCGaNFZdLiOuZDsvlgaUw8T0T+LbvEm\nRh+ub77J2XHnDmrX+v7P/UkxdrHF57YXkuTGbi+mri4fmy2furp86uoK0OtDG/upYVgswzly5J/U\n1PyomlCHs1FZWclXX33F4sWLWbVqFRMmTCAzM5Nf/OIXikwRejYOVB9gwbYFLNi+gF0nduGSXABk\npWSxMEu5ccxKImCGLxKaNvHoFd6L+NB4dlXu4pYBt3Dn4Du5steV6LTqWOUvhGDbtm3Nxnj//v2E\nhobStWtXPvnkEwYMUP5jnpM52yNBSfLgcOw6acDJp65uK1pt0Cnm+PjxhbhcZWi1IaSkZKt20Dlf\nLiQUw1+jc7bvS24Jb733J+PWOHPprfOy56k9OIodAIQMC6HrHV1bNYTWlVa8Vp/h1kfpCUoMQnh+\nMpqSWzrls3D7Zks5Wzeo9WUFQdP4XqNBckvN39cYNDTt19xkfJvPddLfCM9JFzCCMcp4ijHXGE41\n7PXb6/HW+v4dxgQjkVdF+gx/8NlvBA69cgjHTl9ZRVwdQb9/9DvlBkMbfOoM/PkY1UstPrc9KC6+\nn7q6rQjhIjR0JPX1O7DbdxAU1KvZ9DYZYKMx9pS/VUOoQ0t4PB62bNnC8uXL+fe//015eTmxsbH8\n+c9/5pe//CVhYWFyS/Sb8rpyFu1YRPa2bHZX7SZzYCZ3Dr6TF1e/yNK9Sy+JjTLak4AZPg01PmYE\nzkiOfajmEJ9s/4QF2xdQVlfGL1N/yR2D72BU/Kh2ffTb0eU1evRocnNzAdDr9SQlJTH+Bul6AAAg\nAElEQVRp0iSuvvpqJk6cSGSkcrfjbInWyqsp9dDJBrmq6juE8N3lm0w9iIubitk8ALN5IMHBSedM\nRaR2zqd+tdXoyGm42/o3TTO7J5tcIXyvBdcXsGrNKoYxjJhbYxj40UCfYW40vs2vCvh3tMb5/H+c\nr7lVa3/vL0IIXK5y7Pad2O3FjYfvvdNZStMdksUynKSk17FYhqDThZz1fGorL0mS2L59Oz/88APL\nly9n9erV9OzZk0mTJrFs2TKKioqAjs0E0Z5lVtNQw+c7P2fB9gVsPLKRnyf/nDsG3cG1fa9tTo2m\n9o0ylBgmEcgzrCIigiJOeRzSM7wnvx/3e34/7vfsPLGTBdsWcNdndyGE4M7Bd3LHoDsYGKv8velj\nYmIASEtLY+nSpezfv58ffviBuXPnMmXKFJKTk5vN8RVXXEFIyNk7cqWj0WgICupFUFAvYmMzgJPD\nLFJISHgcp/Mwx49/jN1ejMOxH5OpOyEhAzGbBzabZLN5oKpma9obQ4ShTTtxtfX70Pb8rueTD7al\nv9FoGmeDAY3u1H5bF+p7+mNJs9D/nf7ogs79NEiuf0drnM//x/n8zcWEEF4aGg5QX198hukFXWMf\n4esfoqJuwGweSEnJI1itS1Uf6nAyQgj27t3bbH5XrFhBeHg4V199NXfffTfvvPMOXbr4UmGmp6dT\nVFREWloa8+bNk1n52XG4HSzZvYTs7dn8b9//mJg4kQeGPcBnt31GiPHM8e50LxDgwrkkZ4YvZoQQ\nbDm2hext2XxS9Amx5ljuHHwntw+6nZ7hPeWW1yKtrdZ1uVxs3LiR5cuX88MPP5CXl8eIESO4+uqr\nmTRpEmPGjMFoVHci8dZ3znPjcOw9ZeBreq/VhtDkmvT6MHr2nElIyGCCg/ug10eqbmFYgHMTePR/\ncSNJbpzOwzgc+2ho2EdDw37Kyz/B7S5HkhowGhOwWFJPuSk2mwecEeLQhFpDHU6ntLSUH374ofnw\neDzNY8BVV1111tz2/mSCkAuP5GH5vuUs2L6AL3d9yYi4Edw56E5uHXgrkcHqehqqFgJhEpcoXsnL\nqoOrWLB9AYuLF5MSm8Idg+4gKyWL2JCWO0+lU19fz5o1a5o7xV27dnHZZZcxadIk1q9fT1VVFSEh\nIWRnZyuu82tPfOEWpRQWpjdvFmI0JmA0dsHh2AtoCA7uQ1BQ78bXPs2fg4J6qXpFeIAAakUIgdtd\n2Wx0m0yv73U/TmcpRmPcKW23rOxDHI6dgPo2sDhf7r33XrZs2YLNZsNkMlFVVcVVV13VbICTk5NV\nebMvhGD9kfVkb8tm0Y5F9ArvxZ2D7+S21NuID42XW95FT8AMn4baYqLaA5fXxXd7viN7ezZLdi/h\n8h6X0+BuwC25CTOFtZqqTcnlZbVa+fHHH/nhhx94++23cTh8i3iSk5P5y1/+wujRo+nRo0endpyd\nWV4nbxbS9BhUCIHHY20eYH8abH2vTucRjMauSJIbEOh0FhISHsNsTsZk6o7J1L1TZ5aVXL+USKC8\n2kZnlpckuXA6j+J0Hmk+ysr+i8t1DElyAQKt1tDCTWrTjWpPtNpTn3S11MY7ks6uXw0NDRQUFLBx\n40Y2bdrExo0b2bdvH5LkyzZy7bXXsnTpUkVnHGqtzB786kHyy/KxOqy4JTcWo6X5aW2/qH6dK1Qh\nBGKGA8iGUWfkpv43cVP/m6hz1fHVrq94fMnjVDVUAXDlf67kw1s/ZFCXQaq6446MjCQjI4OMjAz2\n7NlDTk4OycnJZGVl8f777/Poo4+i1WoZPXo0Y8aMYfTo0YwaNYrw8HC5pbcLKSnZZzwG1Wg0GAxR\nGAxRhIWlnfE3kuTB6TzC9u03U19fiNtdTmnpvzCb+zcP4JLkbDbGZzsMhhg0gW0+A1wieL0NuFyl\npxjd0w+3uxKjsdsp7USS7Hg8vpSY0dE3M3jwF226bkttXK1IksTu3bubTe+mTZsoKioiOTmZMWPG\ncPXVV/OHP/yBp556iqVLl5KWlsbChQsVbYRbwua0seLACpbuWcoHhR/g9Pq2tL+2z7V8d/d3qhpj\nLxUuyZnhAD6aUrX1i+zH+J7jWXFwBS6vi+v7Xs8N/W7gmj7XEBUcJbdMv2kpPkwIwaFDh07pfPPy\n8ujRo0ezOR4zZgyDBw9WfexxW2ltxsnjqfNj4K9Co9Gj1QYTFjYWkykBo7ErRmNXDIauJ73vgsEQ\nFTDOARSH19uA230cl6scl6sct7u88f3xk96X43DsRQgnGk0woaHDCApKbPEG0WjsikZz6qLGzp7Z\nVRLHjx8/ZcY3NzeXiIiIUyYnRowYgdlsPuXvlBzr2xKSkCgoK+C7vd+xdM9SthzbwuiE0dzQ9wa+\n3PUlaw+vDaRBUwCBMIkALXJ6ehYhBLurdvPdnu9Yuncpqw+uJiU2hRv63cD1fa9ndMJo1eQybg2P\nx0NRUREbN25s7qj37dvH0KFDGTNmDAUFBdTV1REdHc2CBQtU0RmfDxe6uCYvbzy1tWsACAsbR7du\nUxoNxZnmwuutw2CIaTbKDQ378Hod6HRm4uN/3TjTHIVeH4XBEI3BEIVWaw7MoATwGyG8uN1WPJ4q\n3O6qxtdKPJ4qysr+i9NZBkgEB/fG7a7E5WpalNblpJu3LqfcyDXV1127pmGzrQfaHrd7sSxiOxdT\npkyhoKAAp9PJgAEDyM/Pp6amhtGjRzeb31GjRl3QTm9KoqK+gmX7lrF0z1K+3/s9Yaaw5omkiYkT\nm7NAqD0N2sVEwAyfRiDmzj+cHidrDq1h3uJ5FFuKKbWVMqn3pGZzrKbtH8+FzWZjy5YtbNq0idmz\nZ1NZ6Xus2RSGMWTIEAYPHszgwYOb0/acjUulfrVlxkuSXI2zbT6jvGfP73A4dgGwY0c3Jky4/AwT\nI4S30SBHn2SUfa/V1avweKzodGZ69pyB0RiPXh+GThfW+BqKVht0UZrpi7V+CeHF663D46nF661t\nfLU1fz56dD4u11EAQkNHNf7upzrj8djQ68NPuanS66PIy7PTt28eTudBAMLDJ5Kc/CZGY1f0+gi/\n6silNLt7rvrldrspKSlh27ZtFBYWsm3bNrZt28bhw4eb43xHjx7NBx98QL9+/VQX4nA23F43G478\n//buPDqq+777+Oc32hcksQiExGoMNmAC2AJscGxh13tcJ01I3SzFIc1zGtI4eU7T1E7S2MdpHT9d\n3OTJ4zR16ieHkxZvTxw3TioDdk2cQDDBRgYbsNgEktgkkNAujTS/548ZDSNpJPhpQVdz369zdO4m\nja4+mrnzvfd+750d2nR4kzYd3qTys+VaPWu17phzh3JP5epT935qtFdxzKBnGGNKWnKabr3iViUt\nS1JJSYmqG6q1+fBmbTq8SX+15a9UOK5Qd8y5Q3fMuUMfnvlhpSeP3Q+HGDdunEpKSlRSUqKtW7eq\ntLRU1157rR5//HFVVFRo7969eumll7R3716lpaVFC+NFixbpQx/6kBYsWKCMjIzR/jMuK5dexkAg\nVenp05SePk2SVFX1A7W2fqDs7GLNm/eIrrnmI31+pqurVZ2ddTEF8jl1dp5VMHhOHR2n1NFRKUk6\nfPhrysiYF1NAhYdSV0xxHC6Qu8ebmsrU1dWkQCBN+fl/rNTUiQoEMpWUlKlAICNmPFNJST2nDx36\nmtraDvnuEwMPHPgfam39QIFAmubOfUrGpCgUalUo1KKurpbIsOd0KNQaHT979lcKBsM7mRkZV8va\n1h7/r1CoVUlJ2XH/X8nJOWpvr1RHR7UkKTV1qmbNejTSGx8uepOTc+O24pw5s1WZmX+v9vZjys4u\n1jXX/Nz5f5ZIfbuXylqrEydO9Ch49+zZo/Lycs2YMSO6/Vu3bp0WLVqkL3/5y9E+302bNiXEGbVj\n9ceirQ9vVLyh2XmzdeeVd+ofb/tH3TD9huiHYGzdunV0VxRD5ssjwxi6rlCXdp3YFd1QvHfmPd04\n40bVt9WrM9SpiRkT9ewnnh2Tp4UG6lez1qq6urrPUZHuN4jYI8iLFi3SFVdckTBHRobTUE8dX8qR\nulCoXZ2djerqauxTKB89+oja2g5KkjIy5mvixDsjRdvFi7vOzvqY35Kk5OQcGZOqQCBVxqREhhem\nL4yHh42N4ULcmGTl5d0UOYIdkBSIGZpe0+FhXd0WBYN1MiZZEyfeJWNSJYVkbUjdn8fcPR5v2NCw\nQ52dDTImoKysRZHvDyoU6pC1HdFh33lBhUKt0b/amFSlphZEdxACgYyYnYf40ydO/FhtbYckSbm5\nN2nOnL/vtbOSNWBf+VCOzvqlVWGwGhsb9d577/XZriUnJ0e3ad3DBQsW9OnxlcZen288n3v5c3r7\n5NtqaG9QalKq6tvqdfuc23XHnDt0+5zbNSU7MVo8/Io2CYy4utY6vXbkNT1Y+qBONZ+SJE3Nnqqv\nrPiKVk5fqeLCYmWkJO6R046Ojj6nDrdu3aqWlhZlZ2frlltu0cKFCzVv3rzo18SJE0d7tcesy1FM\nX/xnr9M11/xcSUlZfQrH2MLyQjEZnj5y5Ftqbd0vScrOXqaiovWKV7zGK2yrqp5Se/tRSVJW1mIV\nFDxw0QI6dlhR8bfRe9bm5NyoWbMe6VO895y+MO+99/5IdXWbBt0qMNRWAwraoQkGg6qoqFB5ebnK\ny8t18OBBlZeXa8eOHWppadG4ceN0zz33aNmyZdGd+UTp7+3P8fPHtb1yu7Yd36ZtldtUdqpMNvLx\n1X8w+w+06bObFODC34RBMdxLovbcjRSXvLrvULF4ymJ9dcVXVXa6TNsrt+v9mvf1oSkf0sppK7Vq\nxiqtnL5SBdkFI7vio6Q7r5KSEv3617+WJK1YsUJ33XVX9A2ovLxcgUAgWhjPnTu3x3h2dvYo/xWX\nz2i8HodSWI12If7GG6W68cbLX5AO9e8erWLWT9v7UCik6urqPgVveXm5jh07pqKioj7bm29/+9va\nuXOnJGnNmjVav359QubVGerUu6fe1bbKbeECuHKbOro6tHL6Sq2avkqrpq/So1sf1eYjm53v/OCn\n59hwoGcYCW/jxzfGvXK2Jdii31f/Xtsqt+mZ3c/oz37xZxqfMV6rpq+KbowWTl6YUHvh3acSi4uL\n9eqrr/Y4dWitVU1NTY83qxdeeEEHDx7UoUOHlJeX1+Mo8ubNm3Xu3DmNHz9eL7744pg9DekVKSl5\ng/4kr6H8rDS0/tMFCzbqnXc+qsWLXx5UQTmU3z3Uv3uoP4+wrq4unTx5UuvXr1d5ebmCwaAWLlyo\niooKHT58WLm5uT0K3ptvvlnz5s3TFVdcobS0vp88+f3vf19SeDv19NNPq6ys7HL/SSOivq1ev6v8\nXbTw/f2J32tm7kytmr5Kd8+9W397y99qzvg5PS6gfH7N89z5wad8eWQYoy9kQzpQeyC6odp2fJvO\nNJ/R9dOujxbIK6atUHbq2D1COtgeulAopKqqqh6F8oYNG1RXVydJSklJ0cKFCzVz5kzNnDlTs2bN\nio7PnDlTEydOTMi7KAB+0NHRoaqqKlVUVOjYsWPRr+7p6upqTZgwQc3NzWpsbJQkXX/99Xrqqac0\nd+5cjRs3zun3JUKvr7VWh+sOR1setldtV0V9hZYVLou+n1w/7XqNzxg/2quKUUSbBMaEmuYaba/c\nHi2Qy06V6apJV2nltJV6v+Z9NXU0jekL84bi7rvvVmlpqYqLi/Xss8+qvr4+7hvlsWPHFAwGexTH\nvQvmgoICLuoDRklLS0uP127v129NTY2mTp3a7+t3+vTpSk9P77FN2LJly5gtZAejob1Bn/7Zp7Wv\nZp+agk2y1iotOa3HmcbFBYuVHODkNy6gGO6F/h43o5VXe2e73jn5jrZVbtMTv31CZ1sjH2maMVH3\nX3O/lhYs1ZKCJbpm8jVKS+57+m+0jEReLkdvGhoa4r7JHjt2THv37lVra6vS09O1cOFCzZgxQ1On\nTlVhYWGf4cSJEy9L0czr0Q15ublcebW1tenkyZM6ceJEv8ODBw8qGAwqIyNDy5cv15VXXtmn6C0s\nLFRy8sWLuJE6ouu159fJxpPafWq3yk6Vafep3dp9crdONZ1SwATU2BE+Mn7P3Hv0y0/9ctTW0WuZ\neR09w4CDtOQ03TD9Bt0w/Qb999H/VumhUi0tWKrHVj+mg2cP6s3jb+r7b31fh84d0tyJc7WkYImW\nFizV0oKlWlywOKGOHufl5emFFy6t3zInJyd6NXhv3Rf1tbW1KScnR5/+9Kejb9ZvvvlmjzfvhoYG\nFRQU9CiSY8efeeYZnThxQrm5uXruued8dWQK/mCtVWNjo77whS+ovLxckvTJT35S58+f71PsNjc3\n93mNFBYWqqSkJDr9xS9+Udu3b1dLS4vy8/P14x//eNDr5rJNGAtCNqRD5w6Fi96Tu6MFcGeoU0un\nhrfrH7v6Y3qs5DHNmzhP9z57r0oPlaq4sFj//kf/PtqrjzHOl0eGMfYM9JGWbZ1tev/M+9GjBmWn\ny7Tn9B7lZ+ZfKJCnho8iF40r8nU/rcup1fb2dp06darfI12/+c1v1NLSIklKTk7WzJkzNWnSJE2a\nNEn5+fnR8Xjz8vLyaNXAZdfW1qba2to+XzU1Nf3OS0tLUzAYVHt7uyRpzpw5+vznP9+n6J0wYcJF\nty1+bm2I1d7ZrvfOvHfhaO+p3dpzeo8mZU6KnvHr3m73t83mY47hijYJ+E5XqOvCUYbIxnb3yd2y\nstGN7a4Tu9TY3qgJGRP0/JrnfbFBHc5Tq7Fv7C+++KKCwWDcwiLedFNTkyZMmBAtkI8fP67W1lZl\nZGTo/vvv19SpU5Wbm6vc3Fzl5eX1GObm5iopKWmYEsFYYq1Va2urzp8/r/Pnz6u+vr7f4ebNm3X2\n7Fl1dXUpNzdXdXV1am9v73cHrb+duOHsz02Ei9VcWGt1pvmMPv+Lz+tA7QG1drZqfPp4Hak7oisn\nXNmj6F08ZTEXuGFEUQz3Qn+Pm0TJy1qrk00nw0ePT5Xpezu+p9rWWklSVkqWVs9erfmT5uvqSVdH\nh4PZOCdKXhczlDf2YDCos2fPqra2Vq+99pqefvpp7d8f/iCK+fPn69Zbb+1R3MSONzQ0KDMzs0+R\nnJeXp927d6upqUnp6elau3atJk2apKysLGVmZiorKyvuV2ZmplJTU0ciohExlp5foVBIra2tam5u\nVktLi5qbm/t8xc5//vnndebMGRljtGTJErW2tvYpdJOSkgbcUeoef+qpp/TBBx9Iku666y4999xz\nGjdu3KDODPmpiB3M86sr1KWj9Ud1oPaA9tfsDw9rw0NjjDq7OtXQ0SAp/GEWr3zqFaUnp4/A2o+O\nsfSa9AJ6hoFRZIxR4bhCFY4r1D3z7tG2ym0qPVSq66Zepx/e80NVN1TrQO0Bba3Yqh/t+pEO1B5Q\nZkpmj+J4fn54OD1nuq/bLaSh9SympKSooKBABQUFqq2t1axZs7R///5LOvIWCoXU1NQU94jgzp07\nVVlZKUnasGGDVq9e3W/hFfslqU+BfPLkSXV0dCg5OVnLly9Xdna20tLSlJqaqtTU1Oh472G8eT/6\n0Y9UXV2t9PR0/c3f/I1ycnIUCAT6fCUlJQ04/1vf+pbeffddTZ48WU8++aSysrIUCoXifnV1dQ24\n7Mknn1RVVZVSUlL0pS99ScnJyero6FB7e7s6Ojp6jPce9p63Z88eNTWFr+qfMGGC2tra1NzcrLa2\nNqWnp8fdGYk379y5c6qurpYkTZ8+XY899lifIjfevXLjKS0t1QcffKB58+Zp48aNysnJGdRzVUq8\n/tzBagm26IPaD3oUu/tr9+vQuUOakjUlvH2ceLVWTFuhtUvWav6k+ZqUOUn3bLwn2t/74idfTKhC\nGInBl0eGAeniPWfWWp1oPHFho1+zXwfOhocN7Q26atJVfY4kz504V6lJY+coo1cM15G3wZ7ODgaD\nfQrkdevWRT+AYOXKlXrwwQcvqVCMN/ztb38bvU90fn6+5s+f71S4do9XV1dHe1ezsrJUWFg4YBE9\n0LK3335b9fX1ksKFZ0lJSb8F/sUK/69//evas2dP9H/wk5/8RFlZWcrIyHDqDR/Onlo/Hc0dTtZa\n1bbUxt3unW4+rSsnXNlnu3fVpKuUmZLZ72PS3wsvoE0CGGbn287rQO2BuEdIUgOpyk7N1r3z7tX8\n/PmaPX62rhh/hWbnzaYnboSNVE/0UAuz4XosL67TcD4WBezl0RnqVFVDlY7UHdHRuqPhYf1RvXbk\nNdW1hnfalk5dqkWTF/U4IzY7b7aSAvTrY2yiGO6F/h435HXpbvrJTfrNr38jzZaWFizV6lmrdaT+\nwhtOUiBJs/MuFMdXjL8iWizPzJ3pqfslXy5efX4NZ2E2XI9VX1+vj370o3r55Zc9s07D/VjDzavP\nr5HUfXT3aP3RHsVu97CqoUpTsqZc2P7khYf/tP2fVLajTJotrVmwRi+soTXkUvjxOTYU9AwDCa77\n46OLC4u15bNbepwStNbqXOu5Hm9MZafK9NKBl3S07qgqGyo1OWty3GL5X3b9i6rOVykrNUsbP76R\nU42XwXD2iQ7XY+Xl5enRRx8dloLTi38fLt26/1ynvaf3yspqzYI1OtV0qkfBmxJI6VHsXjv1Wn1i\nwSc0O2+2ZuTOiLvjvXHvRpWpTMWFxXr63qdH4a8CRocvjwwDI2UovXGdoU5VN1T3OYpzpO6Idp3Y\npc5Qp6TwJ/DdMvsWTcuZpqJxRSrKKYqOF44r9OXRZSBRdO80VzdWq7qhWlUNVRfGG6tU3VCt6sZq\n1bXWySr8Hjpn/Bz9efGfR3eiZ4+fPagdZnp7kchokwDGuLv/426VHirVosmL9MStT6ihoyH8Jhl5\nY+x+wzzZeFJ56XkqyilS0biiuAVzUU6RctNyfX83DOBy6wx16mTjyb6FbvdrOPJ6Tk9Ov/C6HTet\n5+s5Mv6nP/9TvXr41bhnoQD0RTHcC/09bsjLzUjkdalHbEI2pDPNZ3oWyb0K5qqGKllrVZRTpMb2\nRnWGOpWZkqnPLPqMZuTN0OSsydGv/Mx85aTljGjhzPPLDXm5Gem8gl1B1bbU6kzzGdW01OhM85no\nV01zjTYf2axzLefUEepQKBRSflZ+j6I23g5rVmrWRX/vSB3F5fnljszcJFTPsDFmjaRHJV0taZm1\n9p2YZQ9LWiepS9KD1trNg/09AKS89LxLupglYAIqyC5QQXaBrtN1/X5fQ3uDqhuqdf//u197zoRv\nifWz/T/Tqhmr+ryhd3R19CiOexfLPaaz8ge8xRLgdSEb0rnWc9Fitkdx27vYbalRQ3uDJmZMVH5W\nzGshM/xaWFa0TNsrt+t48Lgk6RPzP6EXP/nisKznpW4TAFzcoI8MG2OulhSS9K+S/rK7GDbGLJC0\nUdIySUWSXpM0z1ob6vXztEkAo6y7/WKgU62twdZoETBQcVDTUqPTTafVFepSUiBJqUmpWjxlsfKz\n8jU+fbzy0vM0PmN8j/G89Lwe09yMH8MhZENqaG9QXWud6tvqVdcWGfaejpm/r2afmoPN6gx1Ki89\nTwXZBX12+OLt/E3ImKCA6f9eypfyGgMw8ka0TcIY84Z6FsMPSwpZa/9XZPpVSY9aa3f0+jmKYWCU\nDfepVmutPvyTD2tb5TZJ0k0zbtKDKx7sUXTEK0S6p41MjyI5dnzb8W06335eGSkZ+otlf6HJWZOV\nnZqt7NRsZaVmXRhPyVJWataABQq8qaOrQ00dTWrqaFJzR/OF8WBzj/k/3fNTnW46LUlaMnWJWoIt\nPZ5HDe0Nyk7Njvs86r0D1j3+1Ve/ql0nd0ka3tuKcVEa4A2X+9ZqhZJiC98qhY8Qewb9PW7Iy81Y\nymu4T7UaY5STFv7Y2+LCYv3nn/znRQuA7rystWrtbI1/BK+1Tr8s/6WOnT8mSXpi2xO6bup1cQul\npo4mtXa2Kj05XVkpWf0WzN3DNyreUF1rndKT07Vu6TqNzxivtKQ0pSWnKTUpNTo+0DA1KVVpyWlK\nDoz83Sovx/PLWquOrg61d7WrvbM9Oow3L96wo6tD7Z3tev7953Wm+YwCJqBV01ep03YOWOxK0rjU\ncdH/VZ//X0p4eKb5jKoaqyRJ03Km6Tu3fKdHgZuTlhP9X1xqXvlZ+ZI07LcVG2vtDGNp++UVZObG\ni3kNuOU2xmyRVBBn0Testa84/B4OAQM+sfHjGwd1JMwYo8yUTGWmZKpwXGGf5aWHSnXs/LFLOt0c\nsiG1Blt7FFrxiq/mjmadaz0XLbL/9e1/VcmsEqeCL3aepGiR3N7Zrs5QpwImoPysfCUHkpVkkhQw\ngehXUqDX9EWWH6g5oPoD9UrbmaaF+QuVFEhSyIYUsiF12a7oeMiG1BXqNT3A8nOt5xTsCsrKKmAC\nCoaCSgmkXHQnIO4OQ8x4TXONKhsqJUn5mfn62sqv9b9jkpp1yR9lfujcIVU2VKq4sFilnykdliOu\ng33eAhj7BiyGrbW3DeIxqyVNj5meFpnXxwMPPKBZs2ZJCt+0fcmSJdG9ha1bt0rSiEyXlJSM6OMn\n2jR5kZfLdF56ntbnr1fZjrJhzWt9/nplp2br6XufDn9K1gDf/+av34y7/LaS2/p8/+tHX9exsmOa\nN2me3vrrt5SXnjfov//Gm25Ue2e7Xn/jdT302kPan71fklR0tkgPrnhQy1ctV8iGtOO3O9QV6lLx\nymKFbEg7t+1UyIa09IalCtmQdm3fpVAopMXXL1bIhvTO795RyIZ0OuO0qoqq1LSvSfVT6vXPf/7P\nCpiA3t3xrgImoOKVxQqYgHb/breMMVpx4woFTEBvb39bxhjdcOMNCpiAdm7bGT5ae9MqBUxAt3/n\ndu2v2S/Nlu67+j59Kf9LCpjAkJ8P709+X8cbjmte4zw9csMj+sg1H4kub1KTikuKB/X46/PXq+Vg\ni17+7MsX/X+5vB67j+B66fV0uaf9vv0azHT3PK+sj9enu+eN9O/rHq+oqNDFDG94krkAABD2SURB\nVFfP8NestW9HprsvoFuuCxfQXdm7QZieYQBeMFI9nSNx4dRIXYw1Uo9LvywArxioZzgwhAf9mDGm\nUtL1kn5ljCmVJGvtPkkvSNonqVTSeq9VvbF7Dbg48nJDXm5GO6/uns7hLtY2fnyj1ixYM6zF5caP\nb9TN9uZhvyvBSKyrNHLZuhjt59dYQ17uyMyNF/Ma9NUe1tqfS/p5P8sel/T4YB8bAMa6kbhwKi89\nT4+WPDrsxeVYu8gLAIaTLz+BDgAAAP4xIm0SAAAAwFjny2LYi/0qXkZebsjLDXm5IS835OWGvNyR\nmRsv5uXLYhgAAACQ6BkGAABAgqNnGAAAAIjDl8WwF/tVvIy83JCXG/JyQ15uyMsNebkjMzdezMuX\nxTAAAAAg0TMMAACABEfPMAAAABCHL4thL/areBl5uSEvN+TlhrzckJcb8nJHZm68mJcvi2EAAABA\nomcYAAAACY6eYQAAACAOXxbDXuxX8TLyckNebsjLDXm5IS835OWOzNx4MS9fFsMAAACARM8wAAAA\nEhw9wwAAAEAcviyGvdiv4mXk5Ya83JCXG/JyQ15uyMsdmbnxYl6+LIYBAAAAiZ5hAAAAJDh6hgEA\nAIA4fFkMe7FfxcvIyw15uSEvN+TlhrzckJc7MnPjxbx8WQwDAAAAEj3DAAAASHD0DAMAAABx+LIY\n9mK/ipeRlxvyckNebsjLDXm5IS93ZObGi3n5shgGAAAAJHqGAQAAkODoGQYAAADi8GUx7MV+FS8j\nLzfk5Ya83JCXG/JyQ17uyMyNF/PyZTEMAAAASPQMAwAAIMHRMwwAAADE4cti2Iv9Kl5GXm7Iyw15\nuSEvN+TlhrzckZkbL+bly2IYAAAAkOgZBgAAQIKjZxgAAACIw5fFsBf7VbyMvNyQlxvyckNebsjL\nDXm5IzM3XszLl8UwAAAAINEzDAAAgARHzzAAAAAQhy+LYS/2q3gZebkhLzfk5Ya83JCXG/JyR2Zu\nvJiXL4thAAAAQKJnGAAAAAmOnmEAAAAgDl8Ww17sV/Ey8nJDXm7Iyw15uSEvN+TljszceDEvXxbD\nAAAAgETPMAAAABIcPcMAAABAHL4shr3Yr+Jl5OWGvNyQlxvyckNebsjLHZm58WJeviyGAQAAAIme\nYQAAACQ4eoYBAACAOHxZDHuxX8XLyMsNebkhLzfk5Ya83JCXOzJz48W8fFkMAwAAABI9wwAAAEhw\n9AwDAAAAcfiyGPZiv4qXkZcb8nJDXm7Iyw15uSEvd2Tmxot5+bIYBgAAACR6hgEAAJDg6BkGAAAA\n4vBlMezFfhUvIy835OWGvNyQlxvyckNe7sjMjRfz8mUxDAAAAEj0DAMAACDB0TMMAAAAxOHLYtiL\n/SpeRl5uyMsNebkhLzfk5Ya83JGZGy/mNehi2BjzD8aY/caYd40xLxljcmOWPWyMOWiMOWCMuX14\nVhUAAAAYXoPuGTbG3CbpdWttyBjzhCRZax8yxiyQtFHSMklFkl6TNM9aG+r18/QMAwAAYMSNSM+w\ntXZLTIH7lqRpkfH7JD1rrQ1aayskHZK0fLC/BwAAABgpw9UzvE7Sf0XGCyVVxSyrUvgIsWd4sV/F\ny8jLDXm5IS835OWGvNyQlzsyc+PFvJIHWmiM2SKpIM6ib1hrX4l8zzcldVhrNw7wUPRDAAAAwHOG\ndJ9hY8wDkr4g6VZrbVtk3kOSZK19IjL9qqRHrLVv9fpZu3btWs2aNUuSlJeXpyVLlqikpETShT0H\npplmmmmmmWaaaaaZdpnuHq+oqJAkbdiwod+e4aFcQHenpH+SdLO1tjZmfvcFdMt14QK6K3tfLccF\ndAAAALgcRupDN34gKVvSFmPMbmPMDyXJWrtP0guS9kkqlbTea1Vv7F4DLo683JCXG/JyQ15uyMsN\nebkjMzdezGvAnuGBWGvnDrDscUmPD/axAQAAgMthSD3DQ/rFtEkAAADgMhipNgkAAABgTPNlMezF\nfhUvIy835OWGvNyQlxvyckNe7sjMjRfz8mUxDAAAAEj0DAMAACDB0TMMAAAAxOHLYtiL/SpeRl5u\nyMsNebkhLzfk5Ya83JGZGy/m5ctiGAAAAJDoGQYAAECCo2cYAAAAiMOXxbAX+1W8jLzckJcb8nJD\nXm7Iyw15uSMzN17My5fFMAAAACDRMwwAAIAER88wAAAAEIcvi2Ev9qt4GXm5IS835OWGvNyQlxvy\nckdmbryYly+LYQAAAECiZxgAAAAJjp5hAAAAIA5fFsNe7FfxMvJyQ15uyMsNebkhLzfk5Y7M3Hgx\nL18WwwAAAIBEzzAAAAASHD3DAAAAQBy+LIa92K/iZeTlhrzckJcb8nJDXm7Iyx2ZufFiXr4shgEA\nAACJnmEAAAAkOHqGAQAAgDh8WQx7sV/Fy8jLDXm5IS835OWGvNyQlzsyc+PFvHxZDAMAAAASPcMA\nAABIcPQMAwAAAHH4shj2Yr+Kl5GXG/JyQ15uyMsNebkhL3dk5saLefmyGAYAAAAkeoYBAACQ4OgZ\nBgAAAOLwZTHsxX4VLyMvN+TlhrzckJcb8nJDXu7IzI0X8/JlMQwAAABI9AwDAAAgwdEzDAAAAMTh\ny2LYi/0qXkZebsjLDXm5IS835OWGvNyRmRsv5uXLYhgAAACQ6BkGAABAgqNnGAAAAIjDl8WwF/tV\nvIy83JCXG/JyQ15uyMsNebkjMzdezMuXxTAAAAAg0TMMAACABEfPMAAAABCHL4thL/areBl5uSEv\nN+TlhrzckJcb8nJHZm68mJcvi2EAAABAomcYAAAACY6eYQAAACAOXxbDXuxX8TLyckNebsjLDXm5\nIS835OWOzNx4MS9fFsMAAACARM8wAAAAEhw9wwAAAEAcviyGvdiv4mXk5Ya83JCXG/JyQ15uyMsd\nmbnxYl6+LIYBAAAAiZ5hAAAAJDh6hgEAAIA4fFkMe7FfxcvIyw15uSEvN+TlhrzckJc7MnPjxbx8\nWQwDAAAAEj3DAAAASHD0DAMAAABx+LIY9mK/ipeRlxvyckNebsjLDXm5IS93ZObGi3n5shgGAAAA\nJHqGAQAAkODoGQYAAADi8GUx7MV+FS8jLzfk5Ya83JCXG/JyQ17uyMyNF/PyZTEMAAAASEPoGTbG\nfEfSH0qyks5KesBaWxlZ9rCkdZK6JD1ord0c5+fpGQYAAMCIG6hneCjF8DhrbWNk/MuSFltr/8wY\ns0DSRknLJBVJek3SPGttqNfPUwwDAABgxI3IBXTdhXBEtqTayPh9kp611gattRWSDklaPtjfMxK8\n2K/iZeTlhrzckJcb8nJDXm7Iyx2ZufFiXslD+WFjzN9J+qykVl0oeAsl7Yj5tiqFjxADAAAAnjJg\nm4QxZoukgjiLvmGtfSXm+x6SdJW19nPGmB9I2mGt/Y/Isn+T9F/W2pd6PbZdu3atZs2aJUnKy8vT\nkiVLVFJSIunCngPTTDPNNNNMM80000y7THePV1RUSJI2bNgw/D3DPR7EmBkKF7zXRApjWWufiCx7\nVdIj1tq3ev0MPcMAAAAYcSPSM2yMmRszeZ+k3ZHxX0i63xiTaoyZLWmupJ2D/T0jIXavARdHXm7I\nyw15uSEvN+TlhrzckZkbL+Y1lJ7h7xpjrlL49mmHJX1Rkqy1+4wxL0jaJ6lT0noOAQMAAMCLhqVN\nYlC/mDYJAAAAXAYj0iYBAAAAjHW+LIa92K/iZeTlhrzckJcb8nJDXm7Iyx2ZufFiXr4shgEAAACJ\nnmEAAAAkOHqGAQAAgDh8WQx7sV/Fy8jLDXm5IS835OWGvNyQlzsyc+PFvHxZDAMAAAASPcMAAABI\ncPQMAwAAAHH4shj2Yr+Kl5GXG/JyQ15uyMsNebkhL3dk5saLefmyGAYAAAAkeoYBAACQ4OgZBgAA\nAOLwZTHsxX4VLyMvN+TlhrzckJcb8nJDXu7IzI0X8/JlMVxWVjbaqzCmkJcb8nJDXm7Iyw15uSEv\nd2Tmxot5+bIYrq+vH+1VGFPIyw15uSEvN+TlhrzckJc7MnPjxbx8WQwDAAAAkk+L4YqKitFehTGF\nvNyQlxvyckNebsjLDXm5IzM3XsxrVG+tNiq/GAAAAL7T363VRq0YBgAAAEabL9skAAAAAIliGAAA\nAD7mu2LYGPOXxpiQMWZCzLyHjTEHjTEHjDG3j+b6eYUx5jvGmHeNMWXGmNeNMdNjlpFXL8aYfzDG\n7I9k9pIxJjdmGXnFYYxZY4x53xjTZYy5ttcyMovDGHNnJJODxpi/Hu318RpjzP81xpw2xuyNmTfB\nGLPFGFNujNlsjMkbzXX0EmPMdGPMG5HX4XvGmAcj88ksDmNMujHmrcj74j5jzHcj88lrAMaYJGPM\nbmPMK5Fpz+Xlq2I4UtDdJulYzLwFkv5Y0gJJd0r6oTHGV7n04++ttYuttUskvSzpEYm8BrBZ0kJr\n7WJJ5ZIelsjrIvZK+pikN2Nnkll8xpgkSf9H4UwWSPoTY8z80V0rz/mJwvnEekjSFmvtPEmvR6YR\nFpT0P621CyVdL+lLkecUmcVhrW2TtDryvvghSauNMTeKvC7mK5L2Seq+SM1zefntDeZJSV/vNe8+\nSc9aa4PW2gpJhyQtv9wr5jXW2saYyWxJtZFx8orDWrvFWhuKTL4laVpknLz6Ya09YK0tj7OIzOJb\nLumQtbbCWhuU9JzCWSHCWvsbSXW9Zv+hpA2R8Q2SPnpZV8rDrLWnrLVlkfEmSfslFYnM+mWtbYmM\npkpKUvj5Rl79MMZMk3S3pH+T1H0nB8/l5Zti2Bhzn6Qqa+2eXosKJVXFTFcpvDHwPWPM3xljjkt6\nQNJ3I7PJ6+LWSfqvyDh5uSOz+IokVcZMk8ulmWKtPR0ZPy1pymiujFcZY2ZJWqrwzjyZ9cMYEzDG\nlCmcyxvW2vdFXgP5Z0l/JSkUM89zeSWP9goMJ2PMFkkFcRZ9U+HT1rG9h3HvNRfhi/vNDZDXN6y1\nr1hrvynpm8aYhyR9T9Ln+nko8rK2uxfqm5I6rLUbB3goX+QlXVpml8g3mQ2ADIbIWmu5x31fxphs\nST+T9BVrbaMxF94eyaynyBnAJZHrQjYZY1b3Wk5eEcaYj0g6Y63dbYwpifc9XskroYpha+1t8eYb\nY66RNFvSu5EX+TRJbxtjVkiqljQ95tunReYlvP7yimOjLhzpJK9+GGMeUPh00K0xs32bl+T0HIvl\n68wG0DuX6ep5BB3xnTbGFFhrTxljpko6M9or5CXGmBSFC+GfWmtfjswms4uw1p43xvxK0nUir/6s\nlPSHxpi7JaVLyjHG/FQezMsXbRLW2vestVOstbOttbMVfgO5NnKY/heS7jfGpBpjZkuaK2nnaK6v\nFxhj5sZM3idpd2ScvOIwxtyp8Kmg+yIXWXQjr0sTe6aGzOLbJWmuMWaWMSZV4YsMfzHK6zQW/ELS\n2sj4WoUvCIYkEz469Iykfdba78UsIrM4jDGTuu98YIzJUPiC/N0ir7istd+w1k6P1F33S/pva+1n\n5cG8EurIsIPoIXlr7T5jzAsKX+nYKWm95WP5JOm7xpirJHVJOizpixJ5DeAHCl9QsSVy9uF31tr1\n5NU/Y8zHJP1vSZMk/coYs9taexeZxWet7TTG/IWkTQpfuPOMtXb/KK+WpxhjnpV0s6RJxphKSd+W\n9ISkF4wxn5dUIemTo7eGnrNK0mck7THGdB/weFhk1p+pkjZE7m4TUPho+uuR7Mjr4rq34557fvFx\nzAAAAPAtX7RJAAAAAPFQDAMAAMC3KIYBAADgWxTDAAAA8C2KYQAAAPgWxTAAAAB8i2IYAAAAvkUx\nDAAAAN/6/7XWjBQuSV8/AAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xbc1eb00>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "PlotCurve(r2_pts, r)\n", | |
| "PlotCurve(e3_pts, e)\n", | |
| "plt.grid(True)\n", | |
| "\n", | |
| "# Draw inner ellipses\n", | |
| "n_inner = 5\n", | |
| "\n", | |
| "for i in xrange(n_inner):\n", | |
| " t = i / float(n_inner)\n", | |
| " pts = (e3_pts - r2_pts) * t + r2_pts\n", | |
| " PlotCurve(pts, e)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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zzlCIAWAQmBTDFGzblhxySLJuXbJgQe00AMDOTIqhS66+OnnZyxRiABgUSjFM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\nv98/yc+bptnaxYx0WdM0303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| |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xab6eac8>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from scipy.optimize import brentq\n", | |
| "\n", | |
| "# Problem: we have cells that are _very_ skewed this way\n", | |
| "# Possible solution: repeat the corner points of the rectangle\n", | |
| "\n", | |
| "# 1) Find at what parameters `t` the ellipse crosses the \"extended\" corner of the rectangle\n", | |
| "\n", | |
| "t0 = brentq(lambda t: Ellipse(t)[Y] - r[Y], 0.0, 0.25)\n", | |
| "t1 = brentq(lambda t: Ellipse(t)[X] - r[X], 0.0, 0.25)\n", | |
| "\n", | |
| "# 2) \"Reparametrize\" the rectangle so that when t0 < t < t1, it will repeat the corner point\n", | |
| "def Remap(t):\n", | |
| " if t < t0:\n", | |
| " new_t = (t / t0) * (t_div / 2)\n", | |
| " elif t < t1:\n", | |
| " new_t = t_div / 2 # top-right corner\n", | |
| " elif t < 0.5 - t1:\n", | |
| " new_t = (t - t1) / (0.5 - 2*t1) * (0.5 - t_div) + t_div / 2\n", | |
| " elif t < 0.5 - t0:\n", | |
| " new_t = 0.5 - t_div / 2 # top-left\n", | |
| " elif t < 0.5 + t0:\n", | |
| " new_t = (t - (0.5 - t0)) / (2 * t0) * t_div + (0.5 - t_div / 2)\n", | |
| " elif t < 0.5 + t1:\n", | |
| " new_t = 0.5 + t_div / 2 # bottom-left\n", | |
| " elif t < 1.0 - t1:\n", | |
| " new_t = (t - (0.5 + t1)) / (0.5 - 2*t1) * (0.5 - t_div) + (0.5 + t_div / 2)\n", | |
| " elif t < 1.0 - t0:\n", | |
| " new_t = 1.0 - t_div / 2\n", | |
| " else:\n", | |
| " new_t = (t - (1.0 - t0)) / t0 * t_div / 2 + (1.0 - t_div / 2)\n", | |
| " \n", | |
| " return new_t\n", | |
| "\n", | |
| "Remap = np.vectorize(Remap)\n", | |
| "\n", | |
| "\n", | |
| "def PlotTMapping(mapping_function):\n", | |
| " t = np.linspace(0, 1, 200)\n", | |
| " \n", | |
| " plt.plot(t, mapping_function(t))\n", | |
| " \n", | |
| "PlotTMapping(Remap)\n", | |
| "\n", | |
| "\n", | |
| "def R3(t):\n", | |
| " return R2(Remap(t))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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WLFiW7vEr+vuE8XtQ54gNmyr4Yfi9NZAdGgx/yx8l/ErA3+/MzyL373lrEVruzMCWigH4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\nNxUaCsyeDQwZArR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Zk+eJj9eLYOzerdWXXr20Avzdd64rsiVK6CmQtm/XCke7dtrL56o3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\njB6tBy+NHp3/2Ndf623WrPzHEhL0YNMtW/KTy5M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uKhRpirDk2BK0vnwVgWk85vPHKfjH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Vrx96nVJM716nFyUVIS10pduJC+xaVLmV6TJjEttm0jQQBI8IOCqFwoUFDZ6NaNZUkIlpePPmJ5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\nLKkcAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xbff1940>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# Let's see with uniform spacing what happens\n", | |
| "\n", | |
| "tt = np.linspace(0, 1, 100)\n", | |
| "\n", | |
| "r3_pts = np.empty((len(tt), 2))\n", | |
| "e3_pts = np.empty((len(tt), 2))\n", | |
| "for i, t in enumerate(tt):\n", | |
| " r3_pts[i, :] = R3(t)\n", | |
| " e3_pts[i, :] = Ellipse(t)\n", | |
| "\n", | |
| "PlotCurve(r3_pts, r)\n", | |
| "PlotCurve(e3_pts, e)\n", | |
| "plt.grid(True)\n", | |
| "\n", | |
| "# Draw Rays\n", | |
| "for i in xrange(len(tt)):\n", | |
| " plt.plot([r3_pts[i, X], e3_pts[i, X]], [r3_pts[i, Y], e3_pts[i, Y]], 'r.-')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# Beautiful, now we must find `t` values for the rectangle to take care of the borders, and also to reduce\n", | |
| "# the number of rays in the corners\n", | |
| "\n", | |
| "corner_divisions = 7\n", | |
| "\n", | |
| "t_values = np.hstack((\n", | |
| " np.linspace(-t0, t0, n[Y], endpoint=False),\n", | |
| " np.linspace(t0, t1, corner_divisions, endpoint=False),\n", | |
| " np.linspace(t1, 0.5-t1, n[X], endpoint=False),\n", | |
| " np.linspace(0.5-t1, 0.5-t0, corner_divisions, endpoint=False),\n", | |
| " np.linspace(0.5-t0, 0.5+t0, n[Y], endpoint=False),\n", | |
| " np.linspace(0.5+t0, 0.5+t1, corner_divisions, endpoint=False),\n", | |
| " np.linspace(0.5+t1, 1.0-t1, n[X], endpoint=False),\n", | |
| " np.linspace(1.0-t1, 1.0-t0, corner_divisions, endpoint=False),\n", | |
| "))\n", | |
| "\n", | |
| "# Normalize\n", | |
| "t_values[t_values < 0] += 1\n", | |
| "t_values = np.sort(t_values)\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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TCwpQccSGukANM6ZFoMrXAA3yXb/Nj+ThQDBQ7qPDAzfHoC7AGzpNh/eez0FQjR25oXo8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\n", | |
| "text/plain": [ | |
| "<matplotlib.figure.Figure at 0xc1a2668>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "r4_pts = np.empty((len(t_values), 2))\n", | |
| "e4_pts = np.empty((len(t_values), 2))\n", | |
| "for i, t in enumerate(t_values):\n", | |
| " r4_pts[i, :] = R3(t)\n", | |
| " e4_pts[i, :] = Ellipse(t)\n", | |
| "\n", | |
| "PlotCurve(r4_pts, r)\n", | |
| "PlotCurve(e4_pts, e)\n", | |
| "plt.grid(True)\n", | |
| "\n", | |
| "# Draw Rays\n", | |
| "for i in xrange(len(t_values)):\n", | |
| " plt.plot([r4_pts[i, X], e4_pts[i, X]], [r4_pts[i, Y], e4_pts[i, Y]], 'r.-')\n", | |
| " \n", | |
| "\n", | |
| "# Draw inner things\n", | |
| "n_inner = 6\n", | |
| "\n", | |
| "for i in xrange(n_inner):\n", | |
| " t = i / float(n_inner)\n", | |
| " pts = (e4_pts - r4_pts) * t + r4_pts\n", | |
| " PlotCurve(pts, e)" | |
| ] | |
| }, | |
| { | |
| "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": "2.7.10" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 0 | |
| } |
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