{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import numpy as np\n", "import numpy.linalg as la\n", "\n", "import scipy.optimize as sopt\n", "\n", "import matplotlib.pyplot as pt\n", "from mpl_toolkits.mplot3d import axes3d" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "# Oblong bowl\n", "\n", "def f(x):\n", " return 0.5*x[0]**2 + 2.5*x[1]**2\n", "\n", "def df(x):\n", " return np.array([x[0], 5*x[1]])\n", "\n", "def ddf(x):\n", " return np.array([\n", " [1,0],\n", " [0,5]\n", " ])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Rosenbrock's banana function\n", "\n", "def f(X):\n", " x = X[0]\n", " y = X[1]\n", " val = 100.0 * (y - x**2)**2 + (1.0 - x)**2\n", " return val\n", "\n", "def df(X):\n", " x = X[0]\n", " y = X[1]\n", " val1 = 400.0 * (y - x**2) * x - 2 * x\n", " val2 = 200.0 * (y - x**2)\n", " return np.array([val1, val2])\n", "\n", "def ddf(X):\n", " x = X[0]\n", " y = X[1]\n", " val11 = 400.0 * (y - x**2) - 800.0 * x**2 - 2\n", " val12 = 400.0\n", " val21 = -400.0 * x\n", " val22 = 200.0\n", " return np.array([[val11, val12], [val21, val22]])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the function in 3D\n", "\n", "fig = pt.figure()\n", "ax = fig.gca(projection=\"3d\")\n", "\n", "xmesh, ymesh = np.mgrid[-2:2:50j,-2:2:50j]\n", "fmesh = f(np.array([xmesh, ymesh]))\n", "ax.plot_surface(xmesh, ymesh, fmesh,\n", " alpha=0.3, cmap=pt.cm.coolwarm, rstride=3, cstride=3)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", 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fs8Ka2z5djwhy3aR8Bvj+/fvSgyUigvQeGtGjSuSVXEF8fLy0bznZyiMQOYQMTchlMkJc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\nz79sRq/X83zLFvy5+3d+WPU1Ccl6Bo6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FgqcKhlK4cCiFCodSsFBhfl7/HSXDytK772AK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\nPPHEE8PWDD367d+/n5ycHPn92y2ez1yuxMDAAC0tL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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot as a contour plot\n", "\n", "pt.axis(\"equal\")\n", "pt.contour(xmesh, ymesh, fmesh, 50)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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lEn//+04xevRGUVZ2YzVcVSqVmDlznXj55fhbPLuO4Ykndojly1PVzpeV1Qkz\ns29ETU1jy7nVqwvFrFl7W45/nfZgxYpa8cADMu3BK68I8fzzQpSVCWHWU4jGRvlzt6OJ7Oxwv6uS\nkpIWG316ejpCCLr/yVLK9e0FcbvAywOSUsHCAkaPhuRkcHTUx9AQcnOVKBQKAgLMiY6W3jc9exrj\n7GxGcnJrxIevb18OHrzYbtRoZ8xR/1vMzIxZuXIGjzwSRlXVjWWbdHbuTmJiCK+9tp+PP864o/eA\n6uubWbo0gV27iomLC6F79xvb1F27NouCggpeecXjFs/w1iP+IPd8WFgBPj59MTFp3ZvYvr2YkJBe\nLX2joqoIDJRBUwkJjXh7S/t8VBQEBkJyKkyeAPr60N8dLugCpm7evXLRokVMnjyZ3Nxc7O3t+f77\n71mxYgUrVqwA4JdffmHkyJG4urry7LPP8vPPP9/0pO80fKdIQT9pAmRmS4+AgAD5YMpcN0YkJko3\ny18LeoCZM23ZsaPVLbFrVwN8ffuwY0eB2n0CAgaSmFhAQ0PHBQTdCgICnAgIGMg//hF9w2MMHmxJ\nSsosvv8+h7/8JZH6+s695vYoKqrFw2Mb9fVKEhNDsLLSPFXxrzl/vprnnovmhx9mdbqCIu2RkVGC\nkZE+w4apRzKFhp5i3rzWwLCGBiUxMRcIDpYbr5mZdZia6jNwoDEqlSAhQRYCv3gRcnNl9HliilSq\nDh8FCzOw6aG1pXVeOvalQnM60VRuOWfOCdFjtBBKpRDuvkJExQhx4IAsXCyEED/+eFksWCDLC1ZU\nyPqXly/L7ItZWZViwIC4NtkKf/opR8yeHdnuvSZN+lZEReW3e60zUVVVLxwcPhY7duTe1Dg1NY1i\n4cJoMXbsJlFYWH2LZtfx7N1bLPr0+Um89db+68pE+VuummxeeunOMNkIIcQbbySJZ59Vf35ramTp\nzEuXWrNYRkeXiIkTW00877xzXjz5pHRQyMxsFI6OMgvounVCzJwp24wcJ8TedCHe/VqIv73acevo\nLGgiOztvyNxdhL0ddLeAzByZ9yZlJ7i6yhwchYXg6WlEUlIjQggsLPQZNaoru3fL7JXOzmY0NanI\ny2vN7R4U1I+EhHPt5m5ZsGA469Z1zijZX2NmZsxPP83m0UfDritv/W8xMTHk55/9mD9/IBMmhLJ7\nd/EtnGXHsHZtHsHBEXzxhTsvvTTmuoOhfs133x2isLCK//u/zm+yucqOHfnMmKG+kR4Xd5bx43u2\nKaYSEVE/iiIEAAAgAElEQVTKjBmtWTdjY6vx95cbuElJTS1mm5gY+ZZcVganz8BoN/kW7Tulgxdz\nh6AT9FrCZzIk7IZpUyF5p/TL9vGB2Fjo318fMzM9srKk+cHX14y4uNZsltOn9yQystV8Y23dFWdn\nK1JSitTus3jxSLZty9G4lN/tZNq0/ixd6srDD2+/KTu7QqHghRfc+PZbD2bPjuT11/fd1oyVv0dJ\nyWUWLozhjTf2Ex8fwqxZA25qvBMnynnxxXjWrJlzR5hsAIqLa8jNvYi7e3+1a2FhBW2KjIAU9EFB\n0mxTV6di795aPD2loE9MbMTT0xAh5OfIzw9Sd8Gk8aBUQtoh8JjQ8Wu6E9AJei3hPRkS0mDyRBmx\nV1cHvr7yAQWYPt2IiAgpnH19zVsEPUBgYFtBD1dryaoXDbe1NcXdvT+hodeXMfJ28dprnhQVVbNi\nxYGbHmv69P4cOLCAgwcv4ua2iV27OkeiNyEEq1fnMmrURgYONOfw4YWMGnVzhuOmJiX337+F//xn\naqfNM98e69ZlMXv2ULUvJpVKEB5+pk0wXH5+DTU1zbi6yo3X1NQaXFy6Ym6uT3OzIDm5EU9PI44d\nAwMDGDRIKlEe7lLID3cCS3Ntrq7zohP0WsJrIqTuAyMjGOkMe9KlBhIfDyoVBAcbEx4uvVAmTOhG\nXl49ZWVXNXxrdu8u5/Ll1g3H4OD+7Nhxul1N+MEHR/HTTxnaWdhNYmSkz9q1c3nllUQyMzUvUvJ7\n2NubsnVrIG++OY6FC2N5/PFkKitvXy3ZU6eqCA6O4MMPM4iICGb58ol07Xrz4SsvvhhPjx5deeaZ\niddu3In46acMlixxUTu/f38pVlbGDBzYGgPy2yLgsbFV+PlJyb1nTxP29vr06aNPbCz4+4NCIc2i\nHu7SbOOjS3/Qgk7Qa4G9R8DCHAbYw4Fs+SCm7IT+/aWrZXa2tNNnZMi0xUZGekyZ0lqMxNzckNGj\nLUhJKW8Z08WlB3V1So4fV6+iNHPmEA4dOk9xcY3atc7I0KHWfPxxAPPnb6Sy8vqLjfwWhULBvHkD\nOXLkHpRKweDB61m+/CBVVdozZ50+Xc1f/5rE2LG/MGVKL/btm8eYMZrXeP0jQkOP8csvR/npp9md\nPjDq12RllXDpUh0eHg5q1yIizhAc3K/NuaioCy1FwAHi4qrx9TW70r6BoCCjK+fl23FlJeQdh7Gj\n5duzTtC3ohP0WmDZe7D/mNTqE9Nk2uK4RHnNx0dq9V27Kpg61ZDY2MYr583amG/8/W2IiWktRqJQ\nKAgMtCcqSj1HfZcuBsyYMZjNm4927MJuIffdNwp//4EsXbrtlvnFW1oas3KlJwkJIRw5Uo6j41pe\nfTWd8vKb/zL5Pc6cqeaxx5IZPXoTNjZdyctbzEsvjcHQ8NbY0PPyynjssR1s2rSAHj3urEQua9dm\nsXjxyHa/nCIjzzB9equgb2hQsnNneUu2yosXmzl5soHx42X+noiIRoKDjWlultlgvbxg526Z36ax\nSTo+TB4Da6Kg+sb3+u8adIJeC/iOhdh94DkRkvbKDdnDmVID8faGhATZbvp0YyIjpZkhMNCc8PDK\nFqHn52dDbGzbOqqBgf2IiFC30wMsXOjMxo13jqAHmc64uLiG997bdUvHdXbuzpo1vuzZM5ezZ2tx\nclrHAw/EExp6ktrappsev7T0MitXHsXfPwwXl41YWRmTm7uIt9+eQI8ety6rZW1tI/PmbeStt7wZ\nN67PLRtXG6hUgvXrs1m8WD2d+YULdeTkVDB1au+Wczt3luPsbNZSsCUxsRp3d1MMDRWcO6eksFDJ\nhAmG7NsHDg5gYwOxCTIt8c79MGYENDbD4x+AYYcneun86AS9FvAdB3H7YNp4uUmkrw9TJsq0xV5e\nUiNpbpYbslFRjahUguHDu2BkpMfhw3UAjBljSVFRPUVFrdpoQIA9u3eXcOmSug3az8+RrKwSioqq\n1a51VoyM9Nm0aQEff7yXhIRTt3x8JycLvvvOi+zse5g0yZavvz5C794/ERISwZdfZpOUdI6ioto/\nfKNQqQQnTlQSFlbAO+8cxNt7G4MGrSch4RzLlg3n7NkHWb584g3lqvkjhJBZKceM6c2jj46+pWNr\ng927CzEzM2LkSPWN49jYQry87Nps0EZHty0CHh5eSUCAtM9HRTXi72+EgYGC+Hj5VgwQFQsBvvKt\n2WsiJB2ESc7Q5cbi0O4qdN91WsDdBQ7mgaEhOPWH/VkQ4AfRcTB3trTV798PEycaYGqqICOjGTc3\nQ2bNsmDbtgrc3Lqhr68gIKAnYWHFLFvmAIC5uRF+fn0JDT3Jww8Pa3NPY2MDQkKGsHnzUZ566s7x\nMevb15y1a+dy332hpKc/0iEJ2uzsTHjiiRE88cQIKioaiIg4TXz8Odavzyc3t4L6eiVDhlhibm6E\nSiVafmprm8nNraBHjy44O1sxfHh3nnpqJIGB/W7JBusf8dFHe8jMLCEt7eGb8ru/Xaxfn8WiRSPa\nnfv27acJDm7rVhkTc4Evv5Tav1IpCA+v4vXXpcYfEdHArFlSeickwD//CQWnofwSuLnCE2/Ce/+G\nTTvBZ2wHL+xOoQMDtq6LTjSVDmHa40JEpgnx7BtC/PcLIbKPCOEwVAiVSohnnhFi+ZWUqk8+WSne\nfbdGCCFEYmKVGDPmWMsYmzadE/7+aW3G3bAhXwQEhLV7zy1bjgkfn586ZkEdzPvv7xKjRn0lKivr\nr934FlNeXi/S0s6LuLhCkZBwViQlnRMpKedEenqJqKxs0Pp8fvnliOjT50Nx5kyF1u99K1AqVaJX\nrw9Ebu5FtWs1NY3CwuJbceFCa1rmwsLLonv3SNHUJKPDU1OrhYuLTGDX2KgSFhYlori4uU1a4pXf\nCbF4qRBV1UKYOAtRVy/E0HuF2H9M7ZZ3HZrITp3pRkt4j4GEAzKAI2UfDB8mq0ydOCnTFide2Zz1\n9zciJkZuyE6ZYsrJkw0UFcnjwMCepKVd4tKlVu+R4OD+pKWVtJvkzM/PkfT0c1RUdNzmY0fxj39M\nYupUe+bN20hjo3aDn6ysjJk4sRc+Pn3x8uqDh4cd7u52jBvXE3PzGyvyfaOkpRXy2GPhhIUt6rTp\np69FWloh1tbdGDxYPXYgLKyAyZN7tTF1hYaeJySkV0ut2+3bKwgJkWtPT29iwAB9bG31SUuDESNk\nWuKYePD3gd0HpX2+vApKysF1kHbW2NnRCXot4TNWCvqpY2H3ARm55+sNsfGyYHhaGjQ1gZeXEXv3\nNnH5ssDQUGazvFpL1tTUAG/vHuzY0epvbmJiiL9/X7ZuVbdpm5gY4enp0OkzWraHQqHg00+nY2Ji\nyCOP3Fzk7J3K8ePlzJ27kZ9+mo2bW+9rd+ikhIYeY968Ye1e+/nn49xzT9vykJs3n2fevNb1hoVV\nMnOmFPRXi4CDVI68vORnKSEZ/LwhaY9UphIOgOdouR+mQyfotUJZNYwdCnlnQM9A5r45dEQ+mLEJ\nYGUFgwfD7t1gZqbH6NEGpKRIrX3GDAvCwlp95efN683mzW0jPhcsGMjGjSfavfesWUPYti234xbX\ngejr67Fu3Tzy8sp4+eWE2z0drVJWdpmgoLW89poHQUF3rloqhCA0NIe5c9UFfUVFA4mJRcye3ZoK\noqSkgczMavz8pFtlfn49lZUqxoyRrqTR0Q0EBEj7fGKifBs+cBDseoOdHSSng8d4iN+vs8//Gp2g\n1wKTX4ScIpg8EpIPyQcxOV26giWmSI0kKAjCw2V7P79W801goDmJidXU16sAmDHDloSEMrUo2bS0\n4na9b2bOHEJMzAmqq29fdOjN0K2bIWFhi9i06ShffbXvdk9HK1RVNTBz5npmzx7KsmV3trTKyChB\nX1/RrrdNWFgBnp52WFi0usVs315MQIBNS03e8PAqgoPN0dNTcOmSimPHlEyebEhVFRw+DFOntrpV\nXq6DjGMwwVVq9N5jICEL6u7MR/+WohP0WsB7JMRngqebFPReE2WCs169oI8dHDwkBX1kpGzv42NE\nfLwU9D16GODs3JXUVBnlamVlxNixFsTFXWwZ38TEEC+vPu361PfsacK0af3ZuPFIxy+0g7CxMSEq\n6n7efjuV7747eLun06FUVtYTELAGFxdb3nnH93ZP56bZujWH2bOHtutt89vc87J9MbNntxYFj4io\nJDhYmm0SEhqZMsUQY2MFsbEwebIs0RmfJAV92kFwGQalFdKHvl8vmLUclKoOXeIdgU7QawHfURCX\nCV5jIPEg+EyBnQegvkFGycYnwbhxUFws0xaPG2fI6dNKSkvlEzp9ujmRka3FSGQt2bZ5YWbPHtCu\nnR7g4Yfd+O67Qx22Pm3g6GhFYuIS3ngjhc8/T7/d0+kQKirq8fNbzdixvfnyy+A7Kr1BewghWLs2\niwULhqtdq61tIj7+bJtsldXVzaSmlrekPaipUZKWVouPj0x7EBfXiK+vtM9HREBwMFy+DOn7ZRDi\n1fw2iQelUrXzGLg5gumtDWm4I9EJei3gNQJ25cCIgXCqCFTAiMGQmg4+nlLQ6+vLfNqRkWBgoGDa\nNEMSEqRWLwV9q51+5kxbwsKKUalaNyhnzOhPTMzZdistBQUN4tSpCo4evaB27U5i0KAeJCcv5aOP\n9vD++7c2evZ2U15eh6/vKiZPtufTT6ffkb7yvyU5+TRduhgwfrx6FG9U1BkmTrRtUzoxOrqUSZOs\nsLCQZQQTEqoZP94EMzNpxomLa8TPzwiVSgr6oCCZ9sB1lPS8iU6FAHcZKOU1WipXvqO0s9bOjk7Q\na4HuZjDEDvafgCmjpPkmwF0+mB7uMpNlQ0NbO72vrzFxcdK4OGZMN8rKlBQUyOOBA02wtjYiPb2i\n5R42Nl1xcelBfPw5tfsbGOixZIkL339/Z2v1AA4OlqSkLOW77w7x+utJd4U3zoULtfj4rMLT04GP\nPgq4K4Q8yKIoDz/s9rtmmzlz2ubj3769hFmzfm22qWL6dBkNe/q0kspKFSNGGHD4MJibg5OTVJJ8\nPKHkApw8A+NdpEbvNUYKeh/1jAt/SnSCXkt4j4TELPBwhZTD4O8OsTvB0hKGDoa9+2Sq1aQk6V8/\nfboRkZEyHYKengJ/fzNiYlrTGcyYYUtERFvzTUiIA2FhBe3e/8EHXVi/PhvlXWCw7NPHnOTkpWze\nfIy//z2a5uY7d01ZWSVMmPAtM2YM4v33/e4aIV9d3UBYWC7336+uUjc1KYmMPNOm8IpSKYiMbK0m\nJa4UAb8q6OPiGvHxMUJPT0FUlFSKABKSwMdLmm28J0FhKaiEzEN/sgTG37kOS7eUmxb0Dz30ELa2\ntowc+ftfnU8//TSDBg3CxcWFQ4fufK3yRvAeCQnZ4OEmBf24UXCmSGoiXh6QmAzW1tLNMi0NBg0y\nwNxcwYED0hTj729OTEyrnT4oqCcREW2Lkcyc+fs56ocPt6FnTxNSUtpPgnanYWtrSnLyUnJzy/D3\nX82FC3deisJt23Lw9l7Fm2968eab3neNkAf45ZejeHo6YG2tnmFz165iHB3NsbMzaTm3d+8levc2\npl8/2T4vr4HmZpnzCWDHjgaCgqR3TlSUNHNWVkJOHkwYBzE7wW8qJB+WylTyEZg6VJfQ7Co3Lej/\n8pe/EBUV9bvXIyIiOH78OPn5+axcuZLHH3/8Zm95xxF6CMY6wcGTMNQB8s9CTZ3MZhm3C7ymSTdL\nkA9wdLT8PSTEmO3bpbnGz8+chIRqmpulEJ88uTsnTlymuLg16nXwYEu6djXg8OGLtMfixSNYty6r\nw9apbaysurJjxyImTerL2LHfsG+futmqMyKE4O23U3jyyQgiIhZz3313nyF51apMHnxQvcAIQFjY\naWbObJvbJjy8hOBg25bj6OgqAgLMUSgU1NUJEhJkWuLKSjh0SAYZpuyUQt7ISL4d+7tLs6jnaOlW\n6a0z27Rw04Le3d0dKyur372+fft2lixZAsCECROoqKigpOTmKwndSbwXC5lF4DYA9p2ACcNhVyb4\nTYHYXTB1Muw/KMsL/p6g793bEHt7I/bulZqroaEevr7WREW1zVE/d+6A3w2euvfeEYSG5tDQoL5h\ne6eir6/H22/78PHHAQQFrev0+xDl5XXcc88vbNuWS3r6o3dcumFNKCioICurhODg9u0mYWEFbUoG\nAoSHlxIc3OprHxNT1ZKtMj6+ETc3A7p31yM+HqZMga5dpXLk7QFH8qBrFxjY/0qciqt8e/YZBf/e\nCuV33sveLafDbfTnzp3D3t6+5bhv376cPXu2o2/bqfAZAnE5V8w3WdJ8k3hQvmrG7gRTU+k5kJwK\nEyfC8eNw4QJMnGjI+fNKTp+WuV5mzbJg69bWDdigoJ6Eh7f90rzvvsGsXZvfxiPnKvb2Fjg72xAd\n3f4XwZ3MnDnDSElZygcf7Gb+/I2dsrpWWFguI0d+ha2tCcnJS7GzM7vdU+oQ1q/PYv784Rgbq9tN\njhwpp66uGTc365Zz587VUVhYx8SJUmGsr1eRmlrT4la5fXsDISHSbBMdLZUhkPZ5z2nyM+Q3BU6f\nl8FRZmZwoRJ6WsGKVLDQuVdqZzP2tzbj37NFvvbaay0/SUlJWpiZdvAZCvG54OksbYc+VwqRODmA\nvh7knoSgAIiMkamMPTxk1Sl9fQWBga21ZOfOtWTLltZiJEFBtsTGXqCurjXp16hRPbCwMPrdwtgL\nFgxn8+Y7o3D49TJsmA0HDy5jyJAejBr1FT/+eLhTeOVUVNSzdOlWnn02mnXr5vLZZ0F07Wp4u6fV\nYWzceJR77x3R7rU1a/JYtGhQGxkQGVlKQEDPliRmsbFVuLl1o0cPA4QQhIc3MGOGMUJATIx0Wjh/\nHk4XyopScbvAdwokHYJprpCUDR7OkJQPnoPlZ+xuIikpqY2s1IhbkSbz1KlTYsSIEe1eW7ZsmVi/\nfn3L8ZAhQ0RxcbFau1s0lU5JXaMQps8Kcf6SECaLhLhULYSlvxBFF4RY+k8hPv9JiEOHhXC68if8\n9FMhHnpI/v7zz3UiKKhcCCGESqUSDg5ZIiOjtmVsb+/dYvPmojb3W778gFi2LKnduZw9WymsrN4R\nDQ3Nt36hnYhDh86L0aNXCD+/VeLEifLbMofmZqVYvz5L9O37P/Hkk+Giulr7KY61TW7uRdGr1wei\nuVmpdk2pVAl7+1UiM7NtuuKgoD1i7drCluOlS0+JTz4pEUIIcfBgoxg06IIQQoj8fCHs7GRq7+9+\nFGLBfUI0NAhhNlKIi+VCLPo/IVZuFeKRL4T4dIcQf1klxOftfwzuKjSRnR3+XRcSEsKqVasA2LNn\nD5aWltja2l6j191FF0OY4ADpZ2CMI+zNB58xEJMuo2Tjd4PLKBnll39cFjqOjQUhICDAiNRUmc1S\n2uAtCQ1tNd/cc48dGzYUtbnfokWD+OWXk+2m9+3Tx5zhw22IizvZ0cu+rbi69mLv3kfw9XVk3Lhv\neOCBLWRlaWdvqKlJyU8/HWb48C/59NO9rFkzh88/D8LUVLspjm8HGzceYf78Yei3o0anpBTRvbsx\nI0e2pisuL29k585yZs6U/vNNTYKwsErmzLEEpLfNjBnSbBMbKz8bCgVERENwIKRnwCAHsLKQb8kB\nEyDxikYflwO+Qzt+zXcCNy3oFy1axOTJk8nNzcXe3p7vv/+eFStWsGLFCgCCgoJwdHTEycmJZcuW\n8eWXX970pO9EfIZAfI58ABOz5QMZvVeGbCftBZVKmm/Co2DoUHmcnw+Wlnq4uRmQmCijZOfMaSvo\n587tRVRUKbW1rRus/fubMWyYJdHR6oXDARYtGsGPPx7u2AV3AgwM9Hj++SmcOPE0zs42+PuvITh4\nHbt3t/93uVlqahr59tuDDBnyOT/+mMFXXwWza9dDeHg4dMj9OiMbNx5h4ULndq+tWZPH/fcPbnMu\nNPQ8fn42mJlJe35ycjWOjsbY28svxR07GggOlr/HxoKfn0znHZcIgX6taQ8O5oK1hcwOW3kZjLtI\nf/rB6rnU/pxo4c1CIzrRVG45SpUQe04KMeJNIeIyhJj0byEKioSwmS6EUinEUF8h9mcK8csWIQJD\nZJ8lS4T44gv5+zvv1Ii//a1SCCFEc7NK2NhkiJMnWysv+fntFps2nWtzz88+yxQPPBDX7nwqKuqE\npeU7ori4+pavtTNTV9ckvvpqn3Bw+FgMH/6FeOmleHHgQJFQqVQ3NWZo6FGxcOEmYW6+XAQHrxUp\nKQW3cNZ3DkePlgo7uw+FUqn+92xoaBbdu38nCgvbPnP+/mliw4bWZ/fJJ8+I//73vBBCiNJSpTA3\nLxENDSrR3CyEpaUQ588LkZQixNgpsr37QiGikoX4709CPP0/IdYkCTH3XSG+ThHiwR87bq2dCU1k\n5122TdE5cVsJZiZQeAmc+kBGAdh0B0szyDx+pZDxXhnKvTNNulleNd8ABAYaER0tNXp9fUW7OepD\nQ4vb3HPePEd27DhNQ4O6+cbCogtz5w7lhx/ufq3+13TpYsBjj43lxImn+e67EJqalCxcuIkBAz7h\niSfC+fzzdGJiTnD6dEW7XktNTUqOHCllw4ZsXnklgdmzf6Z37w/5/PN9+PoO4OTJp9mxYzHu7v3b\nufvdz8qVB3jwwVHtJmOLjT3L8OFW9O1r2nKurKyRtLRLBAW1RsNu317BrFlXi4w04OVlhJGRggMH\noG9fmfE1KlZq85fr4OARmHLFDOo/HpKPyrfmhFzwHgL7i0DLBco6JTpBrwXcekHyGXAfCOmnwcUB\n0nLBb5y0K3pNkpXrLS2lm2XKTggMlIWP6+th1CgDqqsFJ05I80xIiAXbt7cK+lmzehEZWdpGqPfu\nbcKIEd2Ji2vflXXZsrF8883BdgXa3Y6enoKJE/vy7rt+5Oc/RVjYIgYP7sGRI6W8885Opkz5HlPT\n/9Kjx3tYWr6DmdlyTEz+i6npcubO3cjGjUfR01Nw//2jOHr0CeLjH+TRR8fQo4d6FOifhcuXm1i9\nOvN38+dv2HCchQud2pzbvr0YPz9rTE2l2ebQoTqMjfUYNkxGw0ZGNjJ9ujTbxMRI5QcgKgYC/WHX\nfnAdBgo92J8j3ZaTj8C0YZCYB5McwWsV1DV10KLvIHQBwlrAdwBsyQGvIVLT8LjiZuk7Dr4KhbX/\nB4++CM3NEOArNZYAP3BxkcI+KEjRotU/8YQBfn5mPPBAARUVzVhaGtCrVxdGjjQjNvYiM2a0bnTP\nn+/Ipk0nCA5W1zDHjbPD3NyYuLiT+PsPVLv+Z0GhUDBypC0jR7Z1EKitbaSurhl9fQX6+nro6ysw\nMtLH0FBXm649NmzIZuLEvjg4WKpdq69vJiysgHffndjm/C+/nOf++/u2HG/bJrV5hUKBUimIiWlg\n+XL5BrB9O7zzTqtb5YRx8H8fSSUp5TCMGQLV9XChChSGYN4VztbCCBuw6MKfHp1GrwV8BkBiAXg4\nSU3DZyTEZshUqmlHwMwU+veRHgSBfhAdJ/uFhMgHHCAw0JjISOlPb2Kiz7RppkRHt+a+keabtr7z\n8+Y5sn17AU1N6u+uCoWCv/51NN9+e3cX8rhRTEyMsLbuhpVVV8zNjTExMdIJ+T9gxYoDPPZY+9p8\nTEwhLi7W9O7dmtumsrKJ1NTyNtGwYWGVLUXADxxoxsZGj3799Dl/XgYRurvLIuA+nmBgAIl7pNkz\nNl2+HacclfltUo6D12CIOwm+jr+dzZ8TnaDXAr3NoJcpKA2gtFra6bPPgFDAcAdIy4YgT4hMBjdX\nKL0AZ8/CjBkybbEQ4OtrREpKE42N0tQSHGxBeHiroJ81qxc7dpSgVLaaYvr0MWXwYAuSkopoj3vv\nHUF09AkqKurbva5DhyYcOVJKYWEVgYFO7V5vr5JUZGQp06Z1x9xcBo6dO9fI6dONTJ4sNfjo6AYC\nA6Vb5Y4dMhrW0FAK+gBfKK+AI/kwaTTEXakPG30Y/FxkoJTXYIg/JZUsHTpBrzW8B0DyaXB3knb6\nqcNkeUGfsbK+ZZAnRCTJAiTeHtJ9bMgQMDaGzEzo0UOPYcMMSE2Vm7JBQeZERVW12NgdHLrRu3cX\n9uy51Oa+c+c6Ehravs+8lVVX/Pwc2bTpzi0zqOP288MPh3nwwVEtka2/pqlJyY4dp9sUAAf1koHh\n4TK3jYGB3MiNjm4kIOCqi6VUelQq+bnw84GYVFl7ufoynCmRppuYw+DnCsn54NoPjl6ESX3RgU7Q\naw1vB0g4BR6DICkP/F0hJkMK+vj9UjM5VQjnS8HPWxY8VijkA75jhxxj1ixjtmyR5hsHB2NsbAzY\nt+9yyz1CQmzZtq2t982cOQPYsuXU7+Zsf+CBUaxendkha9Zx99PUpGTNmkz+8he3dq+npJzH0dEc\ne/tWb5uGBiVRUaUtQVIA4eGVzJghzTbl5SoyM5uZNs2IujpITITp0yEzCywtoH8/qRQFeUolycMV\n8s7LlMSNArqbQH6FFPLtpNv5U6IT9FrAays49oBdhTDFUb5aBrhC9CGYNAKyTsLlBpnkLDJJaixx\niVKDCQ6GsDA5zpw5UtBf1eKDg80JD2/rffNbQT9okCUDBpgTFXWm3blNnz6IY8cucurUpXav69Dx\nR0RE5OPk1J3Bg3u0e33z5pPMndtWm09MLGPECDNsbaVppr5eRWJiNYGBMltlWFgDvr5GdO2qICEB\n3Nyge3dptvH3kZ+LqBQI8mprtvF3kdq85yBptvF2gBOVMnDqz45O0GuBXt3gwEVw6g4NelBUCT0s\nZHX6s+UwbiikHobpHvIBdugP5maQfQSmTYNjx+DiRRg6VBYj2b9fulkGB1uwY0eroB8zxoLaWiW5\nuW0zNy5dOoSffsptd25GRvosXDic9euzO+4PoOOuZfXqTJYsaT/vfEODkk2bTnDPPW1t99u2FRMS\n0qrNJyfXMGpUV7p3l+p3aGgDc+bIL4GrRcBBvuX6esGBLLC2kg4MCQfAe4w02/i7SiVqmpN0fnDv\nDxn8bd8AACAASURBVG4b4VLDrV/3nYZO0GsB374Qfw68HCDltNTqd54AXxeIy5D1LRMPysIJcbuk\nm6Wvl9TqjY3B01P6EQPMnm3M1q1y83TKFFPOnWvixAn5JCsUCmbN6sUvv7TdfL3nHidiY89SXt7+\npuvixSNZuzarU2R61HHnUFlZT2zsSebPH97u9e3bCxg5sjsDBpi3nJNBUW1rw4aFVRIcLM02tbWC\nxMTGlmyVVwV9XZ2srew5TSpD0z1kWuLaOhjYF3blgNcI6XEzoi8UVkKTHgyyhB4690qdoNcGPn0h\n4Sx49r/iZnnFTu83ShYw9r4i6O1swb437MuUdvqrbpZBQfKBB5g9uwtbt0rBbmCgYN48SzZtajW7\nLF7ch7Vrz7UR2paWxgQE2LNhw/F25zd5sj1NTcoOywGj4+5k8+ZjeHsPwMqq/YTvP/yQw0MPDWtz\nbu/eCszNDRgyRNrslUrB5s2XmDdP+t9HRzcwYYIhVlZ65ORIM83w4bB7D4x0BgsLKegDp8nPjOdo\n2JMHw+2huAbMjCG/Eqb2g8RzUsnSoRP0WsHBHEwNwdoc0ovAYzDEHJMVcBKzYfQQyC+E8ir5AEcl\nSzt92l6orpYbUdHR8qEfN86AigpBbq403yxcaMWGDa2CfvJkK+rqlBw+XNVmDkuW/L75RqFQ8NRT\n4/nkk70d90fQcdexenUm993Xfr2+c+dq2LOnRM0+v2bNWRYvbq2qlZpaQ69ehgweLNXuLVvamm2C\ngqRTQlSsVH4uVUJWLriPbzXbxGZIt8qEXJl/PrFAvj3HndUJ+qvoBL2W8OkLe0thmDXUCaiog3oV\n2FtD5mlwd5GBHwFXXk3NzGDSBKnV9+sHPXvC/v0yfH/WLGO2bZNavbu7KcXFTeTnS7OMQqG4otW3\nTX3g729PQUE1eXkVanMDWLrUlfj4U5w9W9XudR06fs2RI6Xk5FwkJGRIu9dXr85j/nxHunVrLbDS\n1KRi48aiNoJ+48ZLLFxodeW6ICKigVmzWgX99OmyXVgEzAySpk33sWBsJAW912gp6H1HSeXJfxgk\nFcD4PpBxEaa0Woj+1OgEvRaobQYvO/kq6dEfUgvBbyjEHpNRsglZEDQZIvfIBE1Hj0vNZeZ02BEp\nxwgMbK0lO3OmMTt2SEGvr69QS128aFEfNm4sapPHxsBAj3vucWL9+vx252hmZsyiRSP45psDHfNH\n0HFX8dln6Tz22BiMjNSjhYUQrFmTxwMPtE1JHB9/EUfHbgwcKCNklUpBaGgFCxZIs82uXU04OurT\np48+NTWQng7e3pCXD1VVMNpN+s8HTIPsk2BkKDdlc87BmIHS42aUPZyvgQoljOsJ3e7eQl7XhU7Q\na4ExCdDLApKLYKq9DJzyHyY1kKt1ZKdPhMg0Gf03dSwk7IYZQbLAglLZtmi4t7cRhw83U1YmfePn\nzrXk/9k77/Cormvt/2ZGvXeKRFOhIxC9C4miBqKbbjA27nb8OTfOdZzclOubxLl2HH+2cbcxpnfR\nJCSKRO9N9CpQQxKol5FGM/v7Yw0ajyXAXyDEmHmfh+eZOWdLZ8/hzNLa717rfVevtgT6rl098PCw\nZ98+65LJadNCWbr00h03XV94oTdffnmsSckEG2y4jZKSGpYvP31HAbOTJ29RUWFg0KAWVseXLs1l\n2jRLNr9nTyUtWtgTGiq0zfr1tYwZI9l8ejr06SN+yrezeY1GAv2oIbB5L8QPEM2ogR3haLZoz5+6\naf6O5UF0EKzKhcp6HnvYAv1DwFA/OFEBQW4iV3wgF4aGiY/s4E6ymdTSH7zd4dgFMTpO2y1lls0C\n4NAR0fk4eRLKysDJSUNUlEOD9k1kpDtXrtRy/XpdwzWnTm3JsmW5VvPo168ZdXVGjh+/2eQ8u3QJ\nICTEm/Xrm+bybbAB4KuvjjF6dHuaN3dr8vzixReZPj3MSq64psbI+vUFPPFEy4Zjq1aVMmmSZPNS\njdO0CfjtQH/hqsiBdAiGzfsk0G/LlFXxbdom45qsmrfnQv/m8NQR0DVtUf1YwRboHwKGB0BaIUQF\nwqEiCPOBvGoI9IILRdCllcgWxw+ATXulcSp1t/zsmDjYsAmcnWHwYEhJMR8f48CGDRLo7e01JCY2\nthhcuTLfSvtGo9Ewdapk9XfCCy/0Zv78ww/+Jtjws4DRaOLjjw/x6qt9mzxvMimWLr3IjBlhVsc3\nby6gVy9PWrRwahi3enUpkyYJP3/unJG6OkX37lJLfzvQl5TA0eMwPMqSzZdVSkIU1UtWw8PDrQN9\nREu4VAZVGujjDc42LTpboH8YiPaHXTdhaAtIz5OMI+Oa8PRbzwl9s+MUxA0Qe8GuHcRU4cp1SIgT\n+gZg3DhYu1ZeJyQ4kppah8EggXzCBC/WrbME+rAwN1q2dGTXrltWc5k6NYwVKy7fkb6ZOLEzmZkF\nXLli65S1oTFSUy/j5+dCnz6BTZ7fvTsfb29Huna17pRdvjyPKVMs2fyhQ9V4eeno0EEC/21vWI1G\nw7lzUFUF4eFSbTN0kCQ6abthxCDYeggGhUNpFdwohVb+cL4QQptBdrnw8wObw85bMNz/X3cvHiXY\nAv1DgL8jtHUFdxfYkw9DWpslVL8X6LdnSuXNyctQWmF+oPeI7vb1HMjNhbFjJaOvrYUWLXQEB+vY\nu1dcFYYPd+fYsWpu3bIQkhMntmD1amvp4m7dfHB21nHgQNNG2Q4OOqZN68rChSf+dTfEhkcWX355\njHnzet7x/PLllxp1wlZX17NlSxHjx1tKYNatK2XcOM+G95s21ZKQILTN2rUwfjxotRYTcIMBMswe\nyykHZE9rxymI7CxNUkNCYH8eDGoFO/Nk9bytSFbTNjyAQJ+SkkLHjh0JCwvjnXfeaXQ+PT0dT09P\nIiIiiIiI4O23377fSz6SiPaHo+XQzgO83KSevldrOHQdureD41lQb4LB4SJyNnKwLFXt7KR+OCUN\nmjWDrl1h2zb5nfHxjmzeLPSNs7OW4cPdrbRvblsMfr/6RqPRMG1aGN99d+GOc50zpwcLFhx/LN2n\nbLgzCgoq2bbtClOndm3yfH29iVWrrjQK9MnJhfTt64Wfn2PDsbVrSxk3Tvj50lITR4/WExXlYD4n\ngd5olOc+PlaaCINbg58PpOyH2P6SHEV1g7RzMLITpF4Wk5/0PAj3h2vV0LuxD8pjifsK9EajkZdf\nfpmUlBTOnDnD0qVLOXv2bKNxkZGRHDt2jGPHjvHb3/72fi75SGJ+Pgzyhe1FMKwlHL4JvVrAkQLo\n2QqO5kDfUMlQYvsJfRM7VDL62lqIj4FkswTC+PGwbp28Hj3akfXraxtomLFjvUhKsgT6jh3d8fKy\n48ABaxpm7tyOLF16iaqqpj3WIiJa4OXlREZG1gO/FzY8uli48AQTJnTCw8OxyfPbt+fSqpUboaGe\nVsdXrcpn8mQLbXPunJ7KShO9eon1YlpaHYMH2+PioiE7G65cEY2nQ0ekGKFNa9iyU5Kf01dEpTI0\nCLafEtmDredgeAfYchn6BUFWBRQrGOoLTSgnP5a4r9tw8OBBQkNDadu2Lfb29kydOpWkpKRG4x53\nDZVlt0DrCAdKYGALqacfFSwP5vAO8qDG9YTkoxDTT5amAX7QKRQyDorr1NYdsnwdPx6SkiTb6dPH\njqoqxenTUg45erQnW7eWo9dbJIknTWrZiL4JCnJj8ODmd5REAJg7N4JPP7XV1NsgUErx1VfHePrp\npuWIAT7//AxPP93R6lhNjZHk5EIr7fl160pJTPRsqMpZv174eTkn0tz29rA5BeJGyc+s3wajo+W7\nEdMPLt2AWgO4ukBVnWhC1ZugoE74+YybEOUPw09Dkc0z9v4CfW5uLq1atWp4HxQURG6udUmfRqNh\n7969dO/enfj4eM6cOXM/l3wkMdwT9ldCZ3dwcoK9N8SIJO2KBPrt5yEuApKPQfvWUi98/hqMiYaN\n26UrNqSdiDoFB8v7gwelS3bSJCdWrZKuWF9fO3r0cGHr1oqGa0+Y0JxVq/Ib0TDPPNOJr746d8c5\nP/VUD7Ztu2LblLUBgD17stFoNAwc2KrJ8wUF1WzblsOMGdZNUqmpRfTs6UlAgGUVkJRU1kDb6PWK\njRtrmTDB0XxOig7ATNvEQHYeZOfDwJ7m7vF+sPkIxPeE7RfkO5R2FUYGS/38sJawowhCPeF8DfjZ\nNOnvL9BrNPcuUO3ZsyfZ2dmcOHGCV155hXG3/xebwB/+8IeGf+np6fcztZ8UhnvC1jLJMI6WQys3\nwA4KqyDQFy4WQQtfqDfChTzxv0w7JBnMxu1SOxw7ElLM9M33vWQnT3Zk5UqLKuXkyV4sW1bc8D48\n3AN3d7tG1Tfx8W24erWcs2ebDuTu7o4880xP3n9/3wO9FzY8mvj73/fx4ou97/idX7DgPBMmBOPh\n4WB1fNWqPCZMsDRO5ecbOHdOz7BhFsvAiAg7mjfXUVoqCczIkSLLff4iDBog34G4SDAYYe8pkT1I\nPmYO9Ochur3w87cDfUdfKDVAtlG+ez8iTD1SSE9Pt4qVPwrqPrBv3z4VExPT8P7Pf/6z+utf/3rX\nn2nbtq26detWo+P3OZWfNGqNSrnvV2pFrlJD0pV6MUOp/z2q1OSVSi04rlTMh0qtOabUvPlKvZek\n1NJUpcb8SimTSanWg5Q6fUGpjF1K9Roov2//fqW6dJHXRqNJBQUVqtOnDUoppQoK6pSn53FVWVnf\ncP13372k5sw51mhev/71PvUf/7HnjvPOzS1X3t5/VTdvVj24m2HDI4dz54qUv//fVGVlbZPnjUaT\nCglZpPbvv2F1vLzcoLy8klVhob7h2PvvF6jZs682vJ8+vVTNny/P1+LFSo0eLceXLFcqcZK8jpuj\n1LINSqUeUGrgs0pV1ijlNk2p0kqlmv1aqQsFSnn+Vanzt5Ry+1ypr64oNXGfUhPPKrWw4MHdh58q\nfkzsvK+Mvnfv3ly8eJGsrCzq6upYvnw5iYmJVmMKCgoaOPqDBw+ilMLHx+d+LvvIwUELg92h1g6O\nlgpPvz1XKgQa0TdHxTEn45hk+Lez+gH94NIVKCyU1vCbN+HyZQt9czurDwiwZ+BAV6tN2RkzAlm7\nNp/KH/SCz53bkYULL1BX17TkQcuW7owf35H58w/9626ODT95vPvuXl58sQ+urg5Nnk9Pz8XV1Z6+\nfa1rGVesyGPYMF/8/S20zeLFxcyYId//mhrFpk0W2mb9eikhBqFtYkdCVTXsOizFCakHZbW74xT0\nCYWcMtGyKdBDO284Vwb9m8GuWxDpBzvKYbit6ga4T+rGzs6Ojz76iJiYGDp37syUKVPo1KkTn332\nGZ999hkAq1atolu3bvTo0YPXXnuNZcuWPZCJP0q4aVREeSj2VEC4J7g6w+58GNpG6umHmeUQhoeL\nHIKLM4QEwoHTlkBvby9mJJtSpL74+16ykyY5snq1xUZn+nRvli610DfNmzsxeLAPa9dab8q2b+9F\nWJjnHW0GAV5/fQCffHL4jn8MbPh5o7CwilWrzvLyy013wgJ8/fU5nn66YyNa59tvs5k926ITfPGi\nnuzsOqKj3QFITa2lZ087mjXTYTBIN+xtE/AtaRAzUirP+oSDp4fQmSP7SjIUGyHJUVR7+Q6NbAdp\nZlni9JvQ3B387aFl03+bHjvcd/FRXFwc58+f59KlS7z55psAPPfcczz33HMAvPTSS5w6dYrjx4+z\nd+9e+vfvf7+XfOQwKA9au0qGEeknPH0XH8jTS0bi4AT5ZVBlgJ7BsPOMZC5bD8Gw/nD8LJSWw7gx\nsNbMzSckwKZN8nrAAHuKikxcuiQZe2KiFzt3VlJSYsngZ84MYtGi3B9OjVmz2t+1pr5LlwA6dPBj\n7drGZbM2/Pzx2WeHmTixE35+Lk2eLy+vY+PGa0yfbi15cPVqNWfPVhIf36zh2LJlIkmsM4vPrF5d\ny8SJ0hm7ezeEhUHz5nDwMPj6QnA7MQFPiILCYsjKh76dxR82NsK8EdsRtl6FEcGQmg3dAqDKCFn1\nws9/XKYos/WD2DpjHwainSBHI2VeXb2k9GtUK9iSLQ9o+jXpkt1yRnwvtxyDUf1EttjZSfS303ZL\nh2D6LqishBEjYN8+MSa5rVG/dq1k9R4eOkaM8GDtWoskQmJiMw4eLCU/39pO8IknQklNzaG09M7G\nmi++aNO/eRxRV2fkk08O84tf9LvjmFWrLhMVFYifn7XL1KJFOUyZ0hIHBwkxSimWLi1h2jRv8++W\naptx44S22bhRsnmANUkwIVGKEG4H+m2HIbIHXCuC6lroFCSyxH3awvEb0MobSmuh0Gimbcqgj7vi\nP4vB6We2GfvPwBboHwJGOMO2Goj0gBo7OFICkYGSgQxvJ4718V0h+TTE9JCMZUh3uJANN25B3DDY\nvAO8vYWrT0kTY5L+/WGr2W5w/HhH1qyxBOspU6ydp1xc7Bg3rnkjRUtvb0dGjAhk5crLd5z/uHEd\nuXSpmMzMpmUTbPh5YtWqM3Ts6Ee3bs3uOObbb88ze7a1+YhSioULc3jySQttk5lZQ3W1if79RYs+\nPb2ODh3sCAwUxbHbgV4pWbWOT4RT56U56rZaZWx/+W6M6gEHsqCND1wogT4tYVe+JE+7bsIQX9hd\nATjAYCdw/LmV3fwTsAX6h4AoZ9ith6Eein2V0MUDTHZwtRy6NhOBsxEdpZU7vA3cqhCxppi+omYZ\nPwySM4S7HH8H+iYqyoHz5+vJy7M0Tx04UE3R97pFZs4MbJK+efLJDnelb+ztdcyb19O2KfuY4f/+\n3wN3zeavXi3nzJkS4uNbWx0/cKAUrRb69LHshC5bVsLUqd4NPP6aNZZN2IsXZWUaEQGnz0hjYEQP\n2LRDnn2jUVa3owfJajemB2w+DXFdhLYZ3k5WxyPN/LyPK7RzhIMGGN60ne1jB1ugfwjw0WkIswdf\nF8gw8/R7imFYIJwsgTaekFclGcqh67Ipm3ZCHuyNe0Tjw9MdTpyFxASRQzAYYMwY2LBBvggODhpi\nYx0bpItdXLTExLizbp2l+mbYMD/y8vRcuFBpNb+4uNacP1/K+fN3bo6aN68ny5adprz8zhSPDT8f\nHDmSR35+JaNHt7/jmEWLLjBlSmgjl6klS3KZMSOoIagrpVixorTBMtBkUiQlWWibTZskadFoYN0G\nGDva7BO7UwL9vlPQKgCa+0LGGbENTD4N8V1gexZEtZNu8y7+UG6Aa/UQ7Qnba2yB/jZsgf4hQClF\nlLPiqgnK6yHcB7YWSoXA1mzpkt2eBbGdIeWMGB2nnTALNx0Bfa3Yp23ZCS1bQmgw7NoDISEQFAQ7\nd8p1vu8lCzBpkreV85ROp2Hy5JYsX55nNT8HBx3PPNOJjz8+fcfPEBjoQXx8GB9/fPCB3hsbfpr4\n5JPDPP98L3S6pkOE0Wjim2/O8eST1n8I6uvFF3baNIu2zfHjNSiliIiQqHvoUD3e3hrCwqRldc0a\naQIESNoogb68Ao6cgsh+kuyMGSwVaaHNoR64ViyyxFmloLGDQFc4WyUmPxnl0M1dUWSE7raqG8AW\n6B8KhuhL6eJsYocehnpArQ6Ol4kDTloORLUR5/q4LpKpjOwuzjk+HtAtRGrqY82m4SBZ/XozZTN5\nMqxYIa9jYx3YtctAZaVo3cTFebBvn3X1zZQpLVm6NLeR/tDzz3dh0aILVFTUcSe89dYQ3n9/P5WV\ndx5jw6OP/PwK1qw5y9y5d9a12bz5On5+zvTpY107n55+i6AgJ8LCLO5TK1eWMGmShbZJStI3GIDn\n5sKpUzBqlLy+kgVDBsG2vTAgQrRsNuyR1W3aCflupJwRqnN3ttgG7siVpCm1ULrP91WAwV4o060m\nA9WPudYW2AL9Q0FnrR3VdgYO1cJAM08/wAey68CkINAb9uVAz9ZwqUgEmnzd4fhVSBgIG/dKZnPk\nFFRUSqBP2igbV5MnS0ZUXw+enloGDrQnOVkCsZubjuHD3Vm/3kLfDBjgTWVlPadOVVjNsVUrN6Kj\nA1m48M5cfefO/gwb1pZPP7VV4Pyc8be/7WHWrHCaNWvaKhDgww8zeeWVro1q53/oC6uUYuVKiwE4\nwLp1tQ2BfvVqyeYdHSV5iRslPSMpOyW5uZwDxeXQu6ME+lE9JBmK7Syr4Ghz/fzwIEgtgGbuEOYM\n+2thsJPiydpybGHeFugfCiJ19uxXBro7gLsTpJfDKLO94IggOFgEnf1Eoz66PaSegZE/4OldnCXD\nSd0F3cxy4KdOW+ibXbvk2BNPOLF0qaWEcuJEb1autHDvWq2GqVMDWbQop9E8X365K/Pnn7qr2uhv\nfzuU997bh15vc1z+OaKoqIpvvz3BG28MuuOY8+dLOHHiFk88Ya07X1trZN26G1ZOUidP1lBfrxok\nic+fr6e0VNG3rz0AK1dKsgLiDZuYIAlMSgbERpqLEQZAeQ2czhY5763nJNBvuwr9g+BwIfi6gZsd\nXKiDoe6K7XrwcDTQQ2uHq63qxhboHwYitfbsNBoY5qzIUlBaD+HeEuiHB8H2HIgLheRL4nuZelaW\nqKknoGswGOpFzXLcSFibKhtVo+OkSxZg4kTJjAAmTHBk27Y6SkuFvhkzxpNduyqtnKeefro1336b\nQ12dyXqekS0xGhV79ty442cJD29Gjx7NWbTo5IO9STb8JPDBBwd44okuBAZ63HHMp5+eYe7cjjg6\nWm/CbtxYQLduHgQFWXZAV68uZeJEr4bMf8kSPVOmOKHVasjPF9pmxAixDty9D2JGQOY56f7uFCpl\nlQkDYUcmDOwAp25AkBfUKiipgQoFEf5S3DAqADLKoJM71Cm4rDUwTGcj6cEW6B8KgrQ6vDUa2joZ\nydDDEA8oVLIxG+YjHGNsKGy+BDGdIdVsL3joEpRXS0aTvB/GjpQGkro6aZ7amCy/f+JEceUxmcDb\nW0t0tINV81RCgqeVJEKHDm506ODKhg3WAV2j0fDss535/PO7S0n/6lcDeffdvTYHqp8Zysr0fPrp\n4btm89XVBr777gLPPde50bkvvrjOvHmWUkulFEuWlDBlivf33uuZPl26YdeulWobR0dI2wZ9e4On\npyQz40dBtR72ZMKIPrD5KMREmJsKO0lSFBcq353hgZI0RQeIHHitHUQ5QYbRwFCt/QO+S48mbIH+\nIcCEIlJnT7mdgeN1MMBdkVEOIwIgsxL8ncHeQWSLtXbg7giXb8HQzpByTAL95n0Q2FyaR9IPwLCh\ncPKUiJt16ABeXnDggFxv+nQnliyx0DezZ/vy7bfFVnN69tk2fP55Y42bJ59sz/r1WRQX6xudu42o\nqLa4ujqwceOd+XwbHj188slhYmNDCQ72vuOY5csv069fAG3bWmf8V69Wc+RIGRMnWiSJ9+ypwtFR\nQ+/eQtscOlSPRgO9e0u1zerVkqSAJC2j4+T1mi0S6HcchT4dxWt542EY01tWuzGdJSmKD4NtOTC4\nJewtBi8XS/18X2cTV5SJ3lqbGD3YAv1DQTzZdNFq2GsyEOEIPi6wpRRG+JszkUDJTGJCLPTNljPy\nYK8/JGqW+09DZbV8AdZuEQOT6EjpkgVr+mb0aEcOHzZw44Y0T40Y4U5+voHTp2sa5jRxYguOHCnl\n6tVqq7n6+TmTkNCGhQvP3/HzaDQafvWrgfztb3se7I2y4d+GmhoDH3xwgP/8z8F3Hffpp6d54YUu\njY5/9dV1ZswIxMnJQucsWHCL2bN9rGib6dOd0Gg03LwJhw9DTIysRDelSKC/ch1uFMHAXrB5L8QN\ngMOXwcsV/DzhZK7IHuy8Bn0D4UIpGHTQzQMOVMEwD0V6DTg5GhigtSNdU001pkbzfdxgC/QPAZ1w\nxKirZ7+pniFOiismUIhR+PYicazfkStL0ZTLEui3noOEXpLROztJZrPjqPD067fJhtX36ZvbXrJK\ngbOzhtGjLYqWOp2GGTN8WLTIktU7OemYNi2QhQuzG8133jxxn7rbpuykSZ3JySnn4MHGnbY2PHpY\ntOgkPXu2oGvXgDuOOXnyFnl5VcTFWXfCGo2KBQuyeeYZy/GaGhNr1pQyc6ZPw5gVK/RMmya0zYYN\nYjDi4gJHjwllExoCSWmQOEI4+uT9sprdeBgS+8COCzAwWIoWwpvBiWKzbeAtGBkAqaUQbl5onMdA\nf52OV7jzftPjBFugfwgYhDMnNDW01mgJdKpnpx5GecGpWvB1kIqB3TdgWFuppx8YAvuuSgbT2l8a\nRWL7i2l4+2Bwd4UjmZIBbdkKej306CHdsredGp94wokVKyz0y8yZPixeXGzFqz/1VCsWLMhuxLVH\nRrakpqaeQ4cK7/iZ7Oy0vPpqP959d++DvFU2/BtgMinef38/v/zlgLuO++qrszz1VMdGTVSpqYUE\nBjrRtauFzklKKqVPHxdamnWCd+82EBCgpUMHoVLWrZPkBCRZSYg1/9xWGDsCLlwXP4bO7STQJ/SC\ntLMwsiOkXILYEPF0iA6S5sOBfnC0EvR2MMwZdpnq8daZCMcRF1uYs92Bh4FBuLCXGobo7Ci3q+d4\nHQz1VKSWCk9/tBxCPOBqpWzOnrkJ3VrCnsvygG86IoE+Zb/8vsQRktW3aAHhXSF1q1TijB0rXyCA\nUaMcOHmynvx8oW+6dXPG29uOXbss8gcREZ64u9uxc6e1zaBGo+Hppzvx6ad335R99tle7Np1nWPH\n8u86zoafNpKTL+LoaEdUVNs7jtHr61m8+CJz53ZsdO7rr7N56ilrL9nvvitm1iyLwdDy5VJtA1Jh\ns2MHxMfLudVJMGEs3CqBY6dh+CB51mP7QV4xZBXBQLMW1MhOsuqNDRV+vqc/XKiEKh30c4f9dRDh\nZKJQmcjT1DKIpuWVHzfYAv1DQAvs8EFHOy3sN1nq6W/r3mwthLjWkHxNMpUtly0iZwm9JKPpFiLy\nrBezJeNJMnPzT0yAlWvl9dixYq4M4OioYcwYa0OSmTOt6RuNRsNTT7Xim2+apm/Wrr3CjRvV5QVr\nsgAAIABJREFUjc7dhpubA7/5zWDeemv7/d8kG/4tMJkUv/99Om++OfiuHtCrVl0hIsKv0SbszZu1\npKUVMXWqpUmqoMDA3r1VjB8vTVL19YrVq2uZMkWapLZsEeVVb284ew5KSkSVdeN2GD5QqMqUA5Lc\nbDabjOSUQrkePFzgZjX4u0NBDZQoGOwrssQjPRUZNeDgaGCQzp49mhoGYxO7AVugfygopI6BOKPX\nGThoqmews+KYAUKdwM1ZaoBHtILN12VDNuWyVBYkn5YGkRulcL0IRg+E9bugfwTkF0FWDkwcJ0vf\n2loYOlTsBXPMvVA/pG+mTRPtm9pay+bUjBlBJCXdaGQz6OfnzPTpYXz0UeZdP9uzz/bizJki9u5t\n/MfChp8+1qwRQ5lJkxqXS96GUor33jvBa6+FNzq3ZEkuCQnN8PKylDEuW1bCmDGeuLrKxmxGRh2t\nWmkJDrbQNrctA1eugUnjhZNfv1VKiKv1sOekFCFsPAwJPYW2GdERtmaJCfiW6yJLvP0mDDfz853d\nRQfnAgZ6abVkU093nB7MjXrEYQv0DwHPcoZ2aDiu0ROi0dLKqZ6tNTDSSyoFOriBxgGyKqCtD1wu\ngZAAyC2VTCamh2zKjhsK63aBTieqfpu2iyNP186w1Ww3mJAg9ckAI0c6kJlZ31B9ExTkQLduzmzZ\nUt4wt4AAR4YM8WXNmsb0yy9+Ec7nn5+hpubOXbCOjna89dYQ/vjHjAd6z2z418NoNPFf/7WDt9+O\nRqu9cza/Y0cutbXGRpuwAN99l8OcOda0zdKlxUyfbinRXL26lsmTJeDW14ta5e1Av2qdBPraWrEN\njB8me1F9O0tmn34aYnvCxlOiVpl62Vyddh3iW0sxQ2cvKK6HGxqIdIJdJgOuOiN9ceJrcinH1sVt\nC/QPAX3xxEgth9AzUGdHhZ2BU3XQz12xtQyi/WHnTZFD2JYLkW3EdSq+izzgcRGQfEwynMzLUFAM\no6NErxskq19t5uanToWlS+W1o6OG+HiL8xRIVr9smbUc8axZQXz3XWNJhPbtvejXrxmLFt29Xn72\n7B6cP3/TltU/YliyJBNfXxdiYkLuOu7dd0/w+uvhjf4YnDlTQV5eLdHRfg3Hrlyp5cqVOoYPF4rH\naFSsWVPLxIlC22zbBqGhIttx4aL0gQzsDxkHoUt78PeFtRkwPhJ2nYEurcDFUSpuRnUS2YPINrIR\n280fbtZBrklsA7fWQF8XI8VKcV1TSw/sWUQ+Llh38D6OuO9An5KSQseOHQkLC+Odd95pcsyrr75K\nWFgY3bt359ixY/d7yUcO/fAkkwpaYUeQVrHfVM9gJ6kQOFkF/XwlM4ltBSnXYVQwpF6BMeGwIVM6\nAnecAjSyQbVhN4waAruPQFW1bGSt3yxVNyNHwqVLcOWKXHvSJEdWrbIE+okTvdi8uZyqKovZd2Ji\nM44dK2tUUw/w2mvh/OMfJ+9aaungoOM3v7Fl9Y8SDAYjf/hDBm+/HXVXbv7MmWKOHi1i5szGuvTf\nfZfDzJmBDR6wILTNpEle2NvLsT17DDRvriU0VGibJUtg+nQZu3qdPLtaLWzYBmOiRe5j015ZvW4+\nKknO9vMQEQRXyiDIA65UQXtPOFkJUX6wvQyiPRVba8DZoZ7BOnv2aWpwx0hPPLDDpnVzX4HeaDTy\n8ssvk5KSwpkzZ1i6dClnz1qbSG/evJlLly5x8eJFPv/8c1544YX7mvCjiN54cIJK+uHUwNNHOyt2\n1EqlQL09HDbbC6aZ7QXTrsCojlJ54+QAHQNh91n5AqzNAA936Bsuy93WrSC4LaTvFPpm8mRLVh8b\n68ixYwZycyWw+/vb07+/Kxs2WBQtnZx0zJnTik8+yWo09+joQOzstKSm3j1bnzOnB+fO3WTfPltW\n/yjgm2+OExzsTWRk27uO+/vfT/DSS11xcrLuMDUYTHz7bTZPPtmYtpk2zVJts2qVnkmTJJuvqYH1\n62HKFPO5tbIaVUo2YkdHiyR3aBAE+kugj+8lyc6YbpL8jAqWooW4NrC9EIb5wbYyaO4CzXVwGgM9\ntFpuYSSXKvpxZ82exwn3FegPHjxIaGgobdu2xd7enqlTp5J0u+zDjPXr1zN79mwA+vXrR2lpKQUF\nj5f3qCd2tMaJQOC4Rk87jZZWzsLTD/eEvZXQ0wsu1kBLVxE902ogvxr6tZXmqbgIsxzCQNh1Qrpk\nE75H30wYK+48IPTNsmXy2tlZw4QJjixebNmUnTXLh2++sS6pfOGFtnzzTTY1NUar4xqNhldf7cbH\nH5+662d0cNDx5puDefvtXfdzq2x4CDAYjPz5z7v405+G3XXcrVt6Vq++wvPPN+6EXbMmn/bt3ejS\nxb3hWGZmDaWlRgYNcjVfR7F8eS1Tpwo/v2kT9Ool+0pZ1+B6jmjPn7ko3bFdO0DSLklmrhZASSX0\naAubTsHobsLPjwyWVW9MEGwrglYe4K6DTCOMchZ+3klXT3+cOUw5ffB8ULftkcZ9Bfrc3FxatbL8\nRQ8KCiI3N/eeY3JyGvPBP2ckkUVP3KhFzzH0DNDZkaupR6+gg5tiexnENYfkAohpBak58kCnXYGE\nruKPGWsO9B6u0L8LpB6UDGj9VrESHJ8ogd5kgkGDpGTtdvPU7NnOfPttTQP9MnGiF0eOVJOVZaF0\nQkJc6d3bk5Ur8xrNf9q0UPbuLSArq7zRue9jzpwenDhxw9Yt+xPHd9+dJDTUhwEDWt113FdfnWXs\n2Hb4+zcuUfzooyxefrmt1bEvv7zJnDm+DVx+cnItYWG6Btpm2TKYNk3GrtsAifFgZyfJyuhoOZ60\nC8YOERPwmB5wKh8c7aGlFxwvgFA/yKkCNxdJhi4bJFlKq4FeLiaKlSJbU0tX7KjCRIit6ga4z0B/\nN27v+/ghv3unn/vDH/7Q8C89Pf1+pvaTQjr5+AEnqaAdDrTWKtJNBkY4Q74Gsmuhry8k34CY1pCa\nbS4hu2wJ9L1DpHkk5yYkDoH1uyGsHTT3h92HoUN78PCAw0eE83ziCVi+XK4/aJA9NTVw9KhUHzg5\naZk504evvrLO6l98sS3z52c1mr+Liz1PPtn+ng1UTk52/PGPw3j99S135fRt+Pfhdjb/u98Nves4\no9HE/Pmnefnlro3OnTgh+zljxzZvOFZTY2Lx4mKeftq34diCBXrmzJFAW14OaWmWbti16yU5AVid\nImWVxy+Agx10aitJTWyEZPMJXWDndejbEnbdMJuMFEJ8M9heDoM8FEdqQdkbGKizZ59GjwMGeuPO\nPHZRys/L5zg9Pd0qVv4Y3FegDwwMJDvbwslmZ2cTFBR01zE5OTkEBgbSFL4/+WHDht3P1H5SiMCX\nKqo5QxW9caROZ+CQyUCks2J7DUSaZYurjNDCHU7egn6BItwU6A1O9pLZxEbAxiOQOFg2rIxGeCIe\nVm6W64wbY6FvpkyRQK+UmI08+aQTCxdaRM3mzfPjm29uUV9vCcjx8c3Iz6/lyJFSfogXXujC11+f\nvafhyJw5PaiqMrBy5d3/KNjw78H8+YcICfG5Jze/adM1mjd3pnfvxto3H3+cxfPPt8He3hI+Vq8u\noXdvV9q2FT7+1i0T27fXNZRVJiVJn4ePDxQVwYlMGBEtvSBXsiF6gCQvY4dAXb0UH4zsDhszJdlJ\nvgSjQqR+PqaVrH5HNoNd5WDvCL0dYY/JQC+thgqM5FBFGA7UYsQLxwd3A38CGDZs2MMN9L179+bi\nxYtkZWVRV1fH8uXLSbzt8mtGYmIiCxcuBGD//v14eXnRrFmz+7nsI4cI/MikmPa40BzFMY2e7lo7\nXB0N7NCL4t72MohrJg0gg5rDkVvQq4WUkyV0kcxmfD9YewBaN4cgf9ibCZPjJSMymWDcaFhrDvR9\n+0pt8kmzP8isWeI8ZTBIYO/SxZnWrR1ISbHQMTqdhueea8Onn15r9BnCwrzo27cZ33xz7q6fVafT\n8o9/xPDGG2nU1trql39KuHmzmrff3sX778fcc+yHH57ipZcaZ/NlZQZWrsxn3rw2Vse//PIWzzxj\nyeaXLdOTkOCIp6eEmOXLLZuwGzbDyGhRYF2VLEJ9dnYS6BOHwPZM6NoKtDo4nQ9DQ2HDBUgIg605\nMKgFHCoBT2ezLHEdDHdWbP9e/fwhytFgIAI/bLjPQG9nZ8dHH31ETEwMnTt3ZsqUKXTq1InPPvuM\nzz77DID4+HiCg4MJDQ3lueeeY/78+Q9k4o8SOuJFHtV0x5Ua9BxFT6TOnuMYaKGTDdgd5RDbDLYU\nSMdfWjaMbg+bLoppeMoZKbPcdx7KqsRicNNeoW/8fWDvEejTG8rKpD5Zo4FJk2DVKplDSIgdISF2\npKVZjL3nzvVttCn71FOtWLUqn4qKxkH6rbd68s47xzEYjI3OfR+RkW3p1q0Zn3xi85b9KeFPf8pg\nypQudO7sf9dxhw8XcvZsSSOrQIDFi3MZOdKPZs0sWfKlS3rOnNGTmGjZ+Fy0SM/MmZLNl5bCzp3i\nDQuy6vw+bTM5HnKLICsfBnWDdQckqdlyFoa1h/PFYK8DPeDnBBdqoL8P7KuCaHP9fJiTEQfgqqaW\nTtihRUMWpfS0BXqB+ongJzSVBw6TMqlfq/3qK3VJzVaZKkZdUwvry1Xf6mL1SpFJ/aXYpAIOKnW8\nXCn3JKUOFSoV/J1S54qUavl3par0Srn/H6VKqpRKeFuppbuU2n9KqS7T5ff/4R9KvfYnef3Cq0r9\nzzvyev9+pTp0UMpkkvcfflilZswobZhXWVm98vQ8roqKDFbzHTfuoPrii6wmP0t0dJJasODsPT9z\nZmaBCgj4X1VaWvP/d7Ns+Jfg/Pmbytf3HVVYWHnPsWPHblb/+MeJRsdNJpMKD09XW7cWWh1/661c\n9dpr2Q3vL140qICAQmUwyIP37bdKJSbKucpKpdwDlCopUSo7TynfnkrV1Sn12Vqlpv9eqfp6pZo9\npdTFPKVmfqPUJxlKvb1TqV+kKPWXI0q9slOp548q9e4FpaJPKbWwyKS8rprUB3VV6mV9uRqkstSH\nKkf9Rl1QY1WKKlb6f/aWPTL4MbHT1hn7EPCfbCQMV8qo5gLV9MaREq2BfGWil7OJbWbZ4n1V0NUD\nSkxQXQ929uBiLxnN4BApsxzXF9buhz6doLAErubBxFhx5VEKpj0BS1fKdfv2hepqa+nijRtrqaoS\n+sbDQ8eYMZ4sWWLtPvXMM6354ovG7lMgWf2f/3wUo/HuZg5duwYQHx/G//6vTcb4p4A33kjjjTcG\n4e/vetdxJ0/e4sCBQubN69To3MGDpVRV1RMVZcmSRYv+FnPnWmibJUv0TJ3qiJ2dFF2sXCnFAQDr\nN8Gg/uKItmaLNEnZ28OGPaLldOAi+HtAcDMx34nrIrTN6DBzkUIQpBTAUH84WAF19iJ7kGE00Eun\npRwj2VTRGh1+OHOOfPQYHsAdfLRhC/QPAa3wwol6MrlFR1xphmKvpoYhOnvqHQzs18NwT8XmEqFv\nUgpEDmFrjjzgGy5AnFnkbEwfKT0zGKWmfuMeaR13coRDJ2HQAKFvMk9Z6JuV5sAfEKBlwAB7kpIs\nNfVz5jSuqY+NDSAvT8/Jk43LKaOiAvH1dWL16iv3/Nx//OMwPvnkMHl5Ffd3A224L2RkZHHiRAGv\nvtrvnmP/53+O8MtfdsfFpbHX6uefX2PevDZWUghpaeW0aGFPt25SgqmUYtEiPTNmyPuyMqFtxoyR\n8UtXwPTbDVPJMCkOamqlUSq2v+xBje8HR66Dn5vo3Zy7Cb1bwqFCCPQEgwlumKC3G+ytg2HOir2m\nenS6evrgxBEqgDrC8eIT9qC1dcbaAv3DQDdaUEApJdTRBWfqqOU4egZrdRwwGejiAN7OkF4OUf5S\nOjaqlWQwo8PEHzPWzNMHeIr+R/opyYA27pGAPjFWLAa1Wpg6GZaZg/vtQH+72nH6dNmUvY2oKHdu\n3arnxAmL/IFOJ/LFn3/eeFNWo9Hw5ps9eeedY/csoWzd2pO5c3vwpz/ZpBH+XVBK8atfpfE//xPd\nqLv1h7h0qYzt23ObbJAqLzewenV+IwGzBQuKmTPHks0fOVKPUtCnj1xrwwaIjJTS3+JiyNgt1WEF\nRXDyHIwYBNsPQ0R78HKHdQdhbF951uO6SLXNiGDYXwgRfrC7GGKaQUopxHqJ7IGvYz3ttTqOavR0\nxQ4HNFymDB8gFD8csPnG2gL9Q0AXWnCGG3TFG3dMnKSCLjjiqTORbjIQ5aw4YoDOzqJ/k1sDPfzF\nWKFPIJy9CZ4uUmaZmSu2ausPQUw/2HcKSsph3ChYZ9aonzoJlq2S4N6/vxg9HD8u58aNc2TnTgPF\nxUK9aLUaZs3y4bvvrOmb559vy5IluRQX1/FDJCS0oaqqnoyMxs1VP8Sbbw4hKek8hw/fe6wNDx6r\nV5+lvt7E1KmNK2h+iPfeO87zz3fBza1xNr9wYQ4jRvhbbcKWltaTnFzG1KkWpcqlS8Uu8HavzIoV\nIskBom0zaji4u4txTmwkODoKbTNmMJzPley+Z7CsXuO6wOaLUm2TYpYlTi2EUQGQXALh7lCn4IrW\nwDCtHTupxpl6euLGWUrQU01XWmCDLdA/FPjhihuOtMWJMqq4SDUDcOKiRo890N7JyPYaiPUSXe3h\nAXCsAjp7w4FCiG4LaVdF7yPpJCT2hQ2HpTtweG/pJuzdDcor4dxliOghUsa3m6eefBK+/Vbm4u6u\nZdQoB1at+r4kgi9LlpRY1dS3bOlEYmIzPvuscVav1Wp4/fXuvPfeiXt+dh8fZ/72txE899xG6utt\nJs0PExUVtbz++hbee2/UXWWIAQoKqlm27BKvvNL4D4LRqHj//Sv8n/8TbHV81apSRozwwNdXMmaT\nSbF8ucUXtrAQdu2yNEktWwXTzEF/zRaYECOyxWvSYeIwSV4S+8CtKimr7NdW9G1igmFDljQT7rwJ\nbTwkwOdoINoZ0k0G2uvACQ1XqSIQHUG4cp5CutIcG2yB/qEghQN0wg876jhFMR1wpTmKnZoaIrX2\nVNoZOF4HkV6KlFKz0XEhjG4rD3h8mGQ247vD2hMicOZoDyeyYHI0rNwuAX3cSFiXKlTO7aweJNAv\nXSrqliCSCF9/bQn0HTs6ERLiQFKSdaPU66+H8OGHV6mtbVxOOWtWew4elDK8e2HmzHC8vJz46KOD\n/+QdtOGfwe9+t4Phw4OJimp3z7EffXSKqVNDCQhobL2XlHSDgABHBg70tjr+zTe3ePJJi4BZeroB\nPz8tnTpZlCoTE8HNDfLz4ehxiI+FsnLYcwTiIiHjuPSFtGtpCfQbMsUy8FgBBHuL9pPBBJVAJ3fx\ncIj1gh010N/JxDmTkTKtgSE4c5RyTNTSGQ+KqKQN1nN+XGEL9A8B57mOD3bkU0Il9XTCkWJqKKCe\nCJ2W3aqefo5QpoX8OujmBWmFkNBGAv1te8H+7SC7BK4Vw5je8sUYMwh2n4TSCgn0a1PlmlMnw/JV\n0kgVGgphYZCcLOdiYx3IyTGSmWmpRnjpJX8++qjIat7h4R507erOsmWNaRdnZztefLEL7713/J6f\nX6PR8MknCbz99k5yc++ul2PDg8GRI3ksW3aKd98dec+xlZUGPv30NK+/3r3J8++9d5lf/jLYSrrk\nxIlqrl2rIyHBUjv/5Zc1zJ1r0cVZsADMeoasXAuJCdIklZwBQ3qDuxus2gGTo6CoDDKvQ1Q3WHcC\nxoVLchMfKt+BMW0l+RkZAMmlMMpTsV0PLo719NXasUdTTWfssEPDFcrwQNGRAH7PV1RwZzvMxwW2\nQP8Q0IHWGKgyLyW98UJxmHIG4YxOV89eo4FRLopUPYzwhLN14GEHyg5MCirM0gjHC2B0V1h/Ekab\nbdbcXWFYhGzKRvaDC1chrwA6dwJPT9hvTqJnzYLFi+W1nZ2GOXOss/oJE7w4e1bP2bM1VnN/7bVg\nPvjgSpMbr6+80o1167K4dKms0bkfon17X559the//vXWf/5G2vCjYDIpXnxxM3/5y3B8fe9tjv3l\nl2cYOrQFYWFejc4dPFhCXp6e8eOtue6PPy7i+ef9Gkoob90ysXlzLbNmCW2TmQm3bsFtJZMVq8Xf\nGGQvaXyMSHiszYBJUZB8FEaEQ71JTEYSukHyZYgLhU3XYHQbSX4i/WFPOTRzBU8tnNUYGKSz4wh6\noI6euHGeMqqpojWuuOCIu80g3BboHwY60Iqr5OGHG62wp4xqrlBDLxzJ1OhpodHSztlIcrVkKlvM\n9M1Wc1a/6RrEhUgFwthw4ekHd4SL+VBQChOjYHU6ODiIdPHaLXLdyeNF8xtkQywlRcrdAObOdWLR\nohpqayWAOzhoeeYZPz755KbV3GNjA6ioMLJ3b2OKxsfHiddeC+cPfzj0o+7Db34zhIyMa+ze3XSN\nvg0PBl9/fQytVsPs2T3uObaioo6//vUY//VfvZs8/8EHV3n55XZW5iKlpfWsXFnKM89Y6ukXLdIz\nerQj3t5a83uYMUMoxdxcOHMORg4XWY6UDKmf33MSWvhCSJBoOI3uBalnhZuvrofsMgj1heM3Idwf\nLlZCnR2Eu8LuWohzlvr5AK2R9jhwgnLaYEcb3DhPIXYY6EBj+8PHEbZA/xDQmuaUUEF7fNCaefoI\n3HHFwC6qGaqzI0djoF5BiBtsLZMN2S3mQL/xGsSGimn4yE5w6BpUGSQD2nxE6JvtR6CqBqaOhqVm\nvZvJEyTQm0wiJhUdDWvWyLngYDvCw+1JSrIo+z37rB+LFxdbuU9ptRpefrktH354tcnP9otfdGPr\n1hwyM281ef77cHNz4G9/G8ErryTfs+HKhn8OxcU1vPXWdj7+OP6eG7AAH3yQSXR0IN27N5YKyMvT\nk5xcyNNPWwfLBQuKiY31oHlzqc5RSvHllzU884zQNkajrB5nzZLxq9YJbePgAFt2QXhHaOYvtM3E\nYVBngLQTYjKy7gSM6y5U5chgsdYcFgh7imGI2U0qxguSq2GAi4kCZSJfW8dAnDlIOYpaOuBOJbUU\nctMW6M2wBfqHgFyyCaEFnmjIp4RyDITjzGUqcUBDe62GnSYDcS5wtB5a2IOPKxwohl4BcKwIOgdI\nmaXeCFHtYVOm0DcbDoO3h2jUJ+8Ti8FzV+BartA3rq5w0Cw5M3MmfPedZV5PP+3EV19ZqJrWrR0Y\nMsSNJUuss/c5c1qRmlpETo41rQPg7u7Ar38dwe9+9+M2WqdO7Yq7u4NtY/ZfhN/+djuTJnWiZ897\nlxXeuqXnH/84yZ/+1LfJ8/PnZzFjRiBeXpZyS5NJMX9+ES+9ZNHLOXiwHr1eERkp49LTISAAupjL\n8VeusdA2S9bD9ERJPtaYaZvd56BDS/B1F/G+xG6yeo0LhY1ZkuxsvmHWgiqF/h6Kk3VQb29gkM6e\nPZoagoBAHLlIGe6Y6Ig/V8kjDGs13ccVtkD/ELCR9TTHnRoquEAR3fDGDRP7KGMgzhh0Bg6Y6hnh\nokipkYxldwUM8oXdJTCkBezMh6i20jyV2A3WZ0JCL9iWCdW1khmtyZCsaWIsLN8o1Tffp28SEqSe\n/rY3zPjxThw+bCA725LBP/+8H599Zk3feHraM316YJOlliASxocPF3H0aFGT578PjUbDV18l8t//\nvZMLF+69CrDhx2Pv3mzWrDnL229H/6jx7713nAkT2hEa2tiFSa838sUX13jlFeuKnR07KnBy0jS4\nSAF8/bVswt7erF28WGgbsNA2I6KhsgqS06Ub9tBZMdHp2BbWH5Rnec9laOMDzT1FtXVEO9iSLbLE\nmwugjy/kG6BYC0OdRZa4r1bHZeoopYY+uHOOUiqppAVO+OPFRtZRRdU/dT9/TrAF+oeAdoRgRy1X\nyaM5HgThQB4VGFF0Qjr6Omp1uDnUs1cPQz0VaWUwujlsyhd/zOTrMK4DrDsn+typZ8HDBfqGykZW\n4hBI3i/L4KmjYdlGufak8ZJRmUxS8TB2rDSxgNgMTprkxKJFlk3ZkSM9KCqq59gx60qFl15qyxdf\nXG+y1NLJyY433ujBf//3kR91P8LCfPn97yOZPXudjcJ5QKisrGPWrLV88kkC3t6NHaF+iJs3a/js\nszO89VavJs+vWJFHRIQn7du7WR3//PObPPecf0NQr6lRrFyp58knZRNWr4d168TOEmDNegtts2Eb\nDOoFfj6yCTt+qDyXq/fDhP5SVpkYLj4MoT6QXQMtXSS4N3OEc3WiVplaAzHOigyTATddPb1w5jBl\nBKKlNW5cpBAtdbTBjyyu4mLbjLUF+oeBYIIp4gY11BKCF/YYOMpNs3FxHQeoYbjWjj3KQIQjKAc4\nWikVBpvN9oIp18163FelS7ZjM9h5CSYPhJV7obkvdGoDO47A0L6QXwgXrkC3rlJ9s2uPzGXaNItx\nOMDs2U5WNoM6nYann/bliy+ss/pOndzp0cODhQubtoGcN68z+/cXcPLkj8vSX3qpL87Odrz7rk30\n7EHg9de3EBnZhvHjG4uRNYW///0EkyeH0KaNe6NzSik+/FA2Yb+PwkIDW7ZUMGOGpTZ93To9ffva\nExioA6SEt3t3uO0ttGylrCpB9o6mjpGO7bU7YXykiJh5uEDnVuZmwHBYdx7Gd4TNZhPwDfkwpjmk\nlcJIT8WWGujgbMIIXNPU0gcHLlJNFXo64kYN9dygCDcgmBA0Nq0bW6B/GGhLO/LIJYQWuAN5FGNC\n0QFHzlBBc+wI1kGasY4YZ8jQQx83uFYPAY5QbAJ3e8iphp7NxUt2TDfYcFLULFOOSev4uKGwbpd0\nxU6Oh+WbhL55cjp8u0jmEh0N167BpUvyfsAAe0wm4VlvY+5cX5YtK6G62jrbfuutMP7610tNdrg6\nO9vxH//Rnbff/nFZvVar4euvx/Luu/s4darwn7qvNgg2bDjP1q1X+OCD2B81/nY2/+abPZs8v3Xr\nTSorjcTFWbtLffttMePHe+LlZdGOEbtAywpi6VKYPl1eX7wEl6/AqBFQUgYZB6TX42xZ6YHIAAAg\nAElEQVSWPK+9OkqSMnkAnC8AvQG6B0qgH9dBVrHxrWHjDYhvDmll0NoVnDRwXlPHSK3w854Y6YY7\nx7mJF9ABf65TQBUlBGPdzfu4whboHwJMGAigGf44U0MFF7lJD3yBOg5RzgCcuKmto0CZ6OFsJKUG\nRnpBqpm+2ZAPca3N9E1HWHvOHOgzwd8TeoVIsB8fCet2ynL4+9U3M6aI81R1tTj5PPGEdC2CcOaz\nZzuxYIFlozUoyIGBA11ZscJ6U3bIEF+CgpyabKACeP75LmRk5P2oChyAtm29+MtfhjN79rp7mpnY\n0DSKiqp47rmNLFw4Hnf3H2eZd7dsHuDtty/wm9+EWpVUKqX44oubzJtnqc7JyTFy6JCBsWPluuXl\nsGULTJwo5xcuFqVKe3sp+R0xCDzchbYZN0TGrNonq9INmTC6Gxy9Aa724O0Kl8og0APy9eDiBB46\nyDRCjAtsNRroo9NxEyP5VBOBC1lUUEElzbCnJb5cJ4tgQv6Ju/rzgy3QPwQs4z1a4o8GPVnkEYAb\nrXHgPKUE4EBbNOzX1DBc50CBzsBNI/RwVySXSCaTXGDh6cd2gI0XoXMLaS45dwMmDYA1ByCsFfh4\nwMEz0D9CtG9OX4AWLaBfb0gy8/Zz58LXX8sfBIBZs5xZsUJPTY2lKer55/358MPCRo1Sb74Zxjvv\nXGqygcrV1Z7f/KYn//Ef+360OfjTT0fg5+dio3D+Sbz8cjIzZnRj8OAfV0ZYUFB912x+z55isrP1\nTJtm7eu8Y0cljo4aBgywbMJ+952eyZOdcHa26M5HRUkpr8kE3y2V1STAis0wZbS8XrdTVp+HLoGL\no9A2GzMleVl3TrL51OtiAp5WJNU228pgpJmfj3RWHDTVo9UZGIgzh8ydsF3x4TwFaKmjNd7YY89p\ndlNj24y1BfqHgVa0xwEjheRRRz0heAG1nOAWffCg1mwvOExnxzaTgRHOkK+BahP4OMPVKmjvI40j\nXs7Q0h0O5EqX7MZTQt9sOiIbsROHWbRvJsdZjMNnTYdFZm4+IgJ8fWGruUm1dWsd/frZs3y5ZVM2\nPt6DqioTGRmVVp8lJsYfnU7D5s1N0y0vvtiFrKxykpN/XFOURqPh889H8/77+zl4MPf/57Y+9li1\n6gwnTtzgT3+K+tE/87vfHWTOnI53zOb/8peLvPFGCHZ21qHh/fcLePllyyasyaT45psa5sxxahjz\nxRfwzDPyevdeUansHg63SmDfUWnmu34DruTBkB6weh9M7A8l1XAsR8qGky5Aopm2iWstZZUJzWFD\nCYzwVuzXg72DgQitHUc1esKxp5h6blBOJ9ypxsANinDCRCsCOcFOHHHicYct0D8EtKYDFRRRSCGh\ntMADuEwRLXChJVpOUEF7HPDRmdhpNBDtrEirgdHeNIicpd+EoS1gy3VIbA9J52Wpu/4ktPCBToFi\nqjxtJCzbKk0rk+NhpVnfZtwY2LMf/h975x0eRbm+/8+2JLsJ6b2QQkJIaAGRKlJDB+m9WLAAdlHh\nHD2iHgQFRVRUFEGQKkjoLZQgTXpoCYEkQBLSe9lsts3vj3dxyUmCFH98FbmvK9e1szOzOzOZefZ5\n7/d57jsnRyxPnCgezBuYMkXDV19pf8/E5XIZr73myaef5lQ7F5lMxrRpocyenVzruapUCubObc8b\nbxy+bTomMNCZhQv7MXz4WgoKHuqS3A5SU4uYMmUbS5cORK2uKStcG+Lj89m06Srvvlt7pc2ZMyWc\nOlVSQ3P+4kUdx45pGT/eqju/e7cejUZG27biu8+dg4wM6GWZJvhpJYwbJeaIYnZBz8fBXgNr9sDg\nTqBUiFHokLbCSapzGGRVQG4FtPKB2Azo5Af786GVG8RXgMoWomzhsGSgm0LJISqxxUArHDlFARpM\nNMKDDPIopxBHbPAnFDmKu7jCDxbuOtAXFhYSHR1Nw4YN6dGjB8XFxbVuFxQURLNmzWjRogWtW9fe\nmPGgI4CGZJGKL364YkMl5Vwmjyhc0FHJOcrpiJrTskqCZHI87IzsqYQ+zhKbi0RGsy0bBobAhiuC\nvtl0CbqGw/lMyCoR5Wnrj0JEEHi4wIEzgr4pKYOEy6JxakBfq6Ll6NEQGyukZEEInRUWStUmZceP\nd+PYMS0XL+qqnc/QoT5cv67j0KHqGvY30K9fIH5+9ixcmHDb12jQoAiGDYtk3LgYzObbo33+qais\nNDBkyM+8805H2rS5vYYgSZJ49dVDzJjxKM7OtXP5s2cn89prIdjZVQ+M8+bl8sIL7qjV1nDx1Vda\nXnzRWjv//feCElQqRYnlLxthtMU+8OetIukAWLkLRveAc9fAaIIWIaLapn9Tkbz0byhMRuo7QEol\nNHeC3yqgiyPE6aCnGnab9IQrRC3NVSqIwI4qTGRRhA+2+ONBGtcwUEoA4Xd2cR9Q3HWgnz17NtHR\n0Vy6dIlu3boxe/bsWreTyWTExcVx+vRpjh37Z3ZDKlHiiBueOCFRSSrXCcIVD+Scp5BQNPgiEYeW\nbgobzmLAXQFuajhVAW3cYHeeGMruSIfGnlCmh7RSkdWvjxf2axuPiUx+VHdYFSvom6G9rPTN2JGw\nYrV47eQkauqXW6pxFAoZkyap+fpra0atVst5/nl35s+vTtMolXKmTm3AJ5/UntXLZDI++6wDH354\nktLSmsYldeGjj7pRWlrFJ58cuv2L+w/ESy9tJyLCnRdfvP3EafPmq+TnVzJxYu3ll6mpFcTG5vH8\n84HV3s/PN/Lzz0VMnmzthL161cShQwZGjxbVNjqdmNx/+mmxfst2aBkF/v6QXwhH46FPZ7h4FXKK\n4PEoWP+buGd1BuEmNbA5bEoSo9UNV+CJYFFa3McbthRCf1fYpYXGdiYqgAxZFZ1Rc4wSVOiJwpVz\nZCJHjx+O2ONANleo/zDQA/cQ6Ddt2sQEiwbphAkT2LBhQ53b3u7E3IOKLUzHB2+UGMklCyMmwnCh\nnHJSKKUlDhRRSb5Ftniv2UC0Gg7o4XFHiNdBqD2k6oQZya+ZwmJwyyUY2gJ+OQ0h3uDtDEcuwYju\nokvWYBRdiDfom66dIS0dklPE8lNPwZIlVpvBJ59Us3Fj1e/uUwCTJnmwenURxcXGauf05JP+HDlS\nRFJSdQ7/Bpo1c6N37/rMnfvHMsY3oFIpWLVqCJ9//ttD4bM6sHRpPIcOpfPdd/2ryQbfCkajmWnT\njvLxx+1qcO83MG9eKs8+G4ijY3Ua6Lvv8hk0yBkvL9VN72kZN06NRiO+f+NGiIqCoCCxfuUaUekF\nsDFWyHLYawSlOKKbKP/dcEwE+h0J8Eh9MRI4mQXdgiEmFQYFw/Zs6O4pZA8ecZS4boI8pYGuchX7\nZVqaoESBjKuUEIIaNSoyycUWE/54YUDPdY5QRe336D8Jdx3oc3Jy8PLyAsDLy4ucnJxat5PJZHTv\n3p1WrVrx/c2k8D8IXjTCDolSciggnxC8cQAukE0EzrgicYxSHkdDiVzPZbOJdmozO7TQ1wW23jAN\nzxaZzsYrVtPwHhFwKh1yy2BgG9hwFIJ8oIEf7DkB7R+BsnKITxAP07DBwqAZ4PHHhc3gSUvpu4eH\nnL59bVm2zFpq6eOjok8fRxYvrl4yqdEomTw5iLlzU+o87/fff5QFC86TnX37vHtAgBM//DCA0aN/\necjX/w/On89l6tRY1q4dhoODzW3v9+OPF/H0VNOnT+2VOQUFelasuM7LL1dvkDIYhK7NK69Ys3m9\nXmLxYh3PP2+tnV+yxJrNFxfDnjgY/IRYXmOhbSRJBPqR3eFKDmQVQftwWHsKhrUQgn2dAiG5VPD6\naluoMEGFDELs4LwRutjBXrOBxxQKTqNDQk8r6hFPARI6IvEigzzKKMQeJX4Ec4HNqB5Oxt460EdH\nR9O0adMaf5s2baq2nUwmqzO7OHToEKdPn2b79u0sWLCAAwcO1Pl9M2bM+P0vLi7uzs/mLwofmqAj\nlxyu4Y8/bthQQhEFVBCBIyVoSUZLe+w4INPSXq5EsjFwqgoec5LYUQQ9vESZ5cBg2HgVugSLDEhn\nEt6aG86I6psNx8RDNbI7rNkt6Jtxg2CZRbVy9AhY+bPYRi6HJ58UBhE38MILahYurKw2Cnv5ZU8W\nLMjDZKo+MnvppWBiYrJISam9fC0wsB5PPtmIDz44cUfXq2/fhowc2YRhw9ai1z+srwdhCzhs2Frm\nzo2mSRPPP97BAq3WwIwZJ/jkk7Z1PqNffHGFQYO88fGpHhDXrSsiLMyW5s2tEgIxMVVERCh+d5FK\nT4djx6x2ges3QvcughrMyIIT56B/NzibDFUGaB0p7tEBjwrXqG0XYFCUGJ32s9A2A4NhR65IbrYV\nW5IdLfTQSBw0GVArTDTHjjOUEYQKZ2xIJR8vVPjhTgZpVFGCEzZ4EYH8ATMHj4uLqxYrbwvSXSI8\nPFzKysqSJEmSMjMzpfDw8D/cZ8aMGdLcuXNrXXcPh/KXh1YqllZIT0orpE+kTdIaaZ30izRd+laa\nI+2RVktnpWek/dLzUoK0QcqVIqUU6St9hfSCrlTql2WWVpaZpSanJelAsSS5bJKkTK0kNVohSUez\nJanvSklaeU6S1p2SpOj5kmQ2S1L9ZyXp7FVJysiVJJcekqSrkqSkFEnyelSS9HqxTVAjSTodL47t\nyhVJcnOTJJ1OLJvNZikyMk/at6+q2jm0bp0obdxYVOPc3n8/SRo79mSd515QUCl5eS2RTpzIvaNr\nZjSapCeeWCWNHx8jmc3mO9r3QYNeb5R69VouPffcpjve98MPT0jDhu2sc31enk5ydd0upaZW1FjX\ntu1FKSam+v+8U6cCac2ayps+X5Kef966vmtvSVoXI17P+lqSJk4Tr6d9LUlvLxCvO/5bkrYcl6QN\n8ZLU+TNJMpgkyfUTScookaSoNZIUlyFJfQ5K0pp0SYo8JUkHS8yS8xWztLGqSnpMWyhNl3KkBVKB\n1Fk6Li2SLkqfS2ek8dJy6Wdpn7RK2irNl+ZJ30rTpThpvnRB2nLH1+zvhtuJnXdN3QwYMIClFsfp\npUuXMnDgwBrbaLVaysrKAKioqGDXrl00bdr0br/ybwsF4IAbnriiRE8umShREEQ98ikmn0paoOEc\nZQSiwkthZp/ZQF+NxBYt9LF0yfbwgq0W+mbTVStP3ysSjl6F4kpRfbPuCPh5QOMQiD0ODUMgyB9i\nD4ph8ejhsMzSGRsUBM2awWZLF61MJuO55zR8/311SeKXXqppNQjw6qvB7NyZR2JiWa3n7upqx6xZ\nbZk06dc7EjBTKOSsWDGYhIQ8Zs6sexT4oEOSJCZP3opMBgsW9L2jfVNSSvj887N8/HHbOrf55JMU\nhg/3JTi4uvDX8eMVZGUZ6N/fqmyZlGQkMdHEwIG2lmODZcvEXA9AZiacPgN9e4l1P22ACYPF65/3\nCH4+txjOXoVuzUQRwdCWcDgdgpzBJIP0cmjpCQcKoJET5BlAp4RQFZzBQBeFiv1oCQDcUXGZErxQ\nUB8XUshAjRl/PJEjp4AUfPjnxZvacNeBftq0acTGxtKwYUP27t3LtGnTAMjMzKRvX3FDZmdn07Fj\nR6KiomjTpg39+vWjR48ef86R/41wmFdwxw8bTJSQQwEFhOFrMQvPpgmuOGHmEMV0RE2qTIcMiLTw\n9D2cRZfsQB+IyRT+mZuvilK07cmgUopSyy3nYFRHWHVAPFzDuojmKYBxA2G5Zb78qfGwfLVw+wHh\n67lsmfV4x42zY+vW6pOyw4a5cPZsJRcuVP8BcHRU8frrIXzwwaU6z3/ChHBsbeV8993tl1sC2Nvb\nsGnTSL7//hSrVp27o30fFMyadZCTJ7NYs2ZonROptUH8QBzg7bejCA52rHWbrCwdixal8c47YTXW\nffllHpMnu1eTQVi0SDRI2diI944cEfTfjarpZSth8AChknrqPFTqoEMrOJUktotqCGuPCElihcLS\n7NdczDX1tXjD9g2EfXnQygUOV0BPF9hWCf00gp9vrJBRhUQ6FbTDkQSK0KElHDfyKKaMAtTI8SUA\nA1qy2Y6ehz7Fdx3oXV1d2b17N5cuXWLXrl04Owu/SV9fX7Zu3QpASEgI8fHxxMfHc/78eaZPn/7n\nHPXfDG5EYYtEJTnkkYEffrhhy3VykCMjFA1ZiIw4HAX7ZZV0katIwEB9JShs4LJONI4cKIBIV8jS\nglEGEe6wJxUGNRcZ0qOhwmf2VKqwGNx8EKr0ov18W5yYmA1tAE0irZIIQ4bAgQMiIwNwda05KWtr\nK+eVVzyZNSu7xvm9+GIwe/fmc/587Q+UXC7jm28e5733jpOTc2cTrD4+9di8eRSvvLKDw4fT72jf\nvztWrDjLd9+dZMuW0betY3MDq1cnk52t5dVXm9W5zaxZyTz5ZAB+ftVljTMy9GzZUsIzz1h1baqq\nJJYutbpIASxdKpIEmUxIHiz6EZ61ZPc/xcDYgWLd2r0wrKt4vfJXGN0R4i5BmAf4OsG6RBgcIUap\nA4JEMjPQB7YVidHsFi10Upu5aDZRKjfwOBoOU4w/CvyxJ4kcHJAIxZ80Cz/vgBJPGpDGdlTY80/H\nw87Y+wB3WmAkh3yScccXNxwwUUEqmUTihRI9pymgA86UUMkVDLRRKNht0tNXAzt1Qof7cLkwI4nN\nE6p+m6/CsEhYmyjq6fckgVYPIx8TWb2fB0QGw+7jQgO8UxtYb/GTffYp8WACODgI/fCbi6ImT1bz\n1VeV1SZgJ0/2YMeOUlJSrPaDYn8lb74Zyvvv153VN2nixpNPNmLq1CN3fP2aNfNi2bJBDB685h+j\ndBkXd5XXXtvJli2j8fWtXa6gLhQVVfH664dZuPBxVKrau0LT0rSsWJHBtGmhNdbNmZPD00+74eZm\nncSMiamiSRMlYWHivdJSoW0zfrxYv/8AaDTQ+lEwGoWg3riBYmS5dq8YXV7NhaRMiLYkJYOjREGB\nUg7BLnAkG7r6CbXK3t6wvxRC7CXKzFCkNNBOruSwTEsrbLiGjgoqaYITWZRSSjH+OOFgqZ83UUw9\n1LjRDNnDztiHgf5+wI0oiknECW88cEGJkWtcxRtXvLEhiyK0GGmMHb9RTBvsUCqMHDYb6a6W2FIB\nvV1ge3F1+mbTFRgSIToK69kJU+WdCSJjWn1QZFnDusDafeI4xg4UmRbAoAFwKh6uWkyjpkyB774D\ng0Est2+vwt1dzubN1qDu5KRg0iQPPvmkZint5MmBHDxYyNmzdQ+T//OfVuzfn8n+/bWrX94KvXqF\nMm9eT6Kjf3rgg/2hQ2kMH76WVauG3FGFzQ3861+/MWhQMG3bete5zcyZl3n++UA8PauPFHJzDfz0\nUyFvvOH1+3uSJDFvXgWvvGLl8ZcvF5LXN3TnF/0IE58UWXvsQQipD2HBgraRyQRts+agkDxQKkSV\n2KAoWJcAwyKE5EF7bzhbBvU1cNUIjTVwxAB9LGqVnRUqjqJDiYFHceQshThipiEeJJGGEj1+eKFC\nRQHJQClutLjj6/cg4mGgvw/Qk44Gb1zxQoWBUnIoo5QQvDBRSSI5PII7Jqo4TzntseOUrJLmcgVa\nlYFsEzR3kIgtFp2CO3Ogix8cyREiZ6EuEHdV8J0bzgg1QBcHOJwEQ7vCpgOgq4J+XeHkecjOEzzq\nyKFWnfomTSAkBG5UzspkMl59VcO8edWplpdf9mDt2iKysgzV3tdolEyd2oAPP6w7q3dwUPHpp+15\n8cUDtWra/xFGjWrKZ5/1IDr6J86dq71v4++OuLirDBq0huXLB9Ot251rqZ84kUtMzBVmzmxT5zbX\nrmlZty6LN96oKeE7f34uI0a44ONjbZA6dMhAYaFE//7WSdgFC0RyAFBUBFt3WJukVm6CMZY6+ptp\nm9WHxGjz6FVws4dQD0HbDI0U3rD9g2BjFjzhAzuKoLczbNNCb43ETpMef4WZYFScpZRW1COZEiqo\nIBhHZMjI4Tr2KPDGF4BSknB/GOiBh4H+viCVD3DCF1vMaC08fSCB2CNxlUxcUBOMHWcooBH2OGPi\nAJX0VKjYZTbQUwPxJvCxgQwThDrA6VJo5wW7M8SDsi5ReMluvSA0REZ0EBmUnwe0DIfNh0BtBwO6\nC+0RgKfHw4/LrXLFkybBN99Yj3vIEFtSU02cOmUN6h4eKsaMca0hiwDwwguBHDhw66x+6NAQvL01\nfPbZmbu6lqNGNWXevJ706LGcs2cfrGAfG5vC8OFrWbNmKD163LmOutksMWXKAWbNaouLS92c/qxZ\nyTz3XCBubtWbrkpLTSxcmM+bb3pVe/+zz7S89poGuVxMwv76qwj2nTuL9avXQs/uQhFVWyksA4f1\nFvfVqljR05F0HbKL4PFIazZ/NkfMJzXzhG0Wk5EbgX57sbDUPKIDT1sTzjI5l+VVdETNEUqwx0gk\nLiSSgw0GGuJHBulUUYI9SjwJxEwVmczHQHVfhX8iHgb6+wBHWmOLhJ5MCknFDR88cKSMArIpoBEe\nyCyyxW1w5ArlyIEmChk7THp6ayS2aWGAC2wsFA/CpixRobDlqqBvNiSBrzOEuAmLwREdRJmlyQTj\ne8MyiwzCqP4i4wJoEQWOjhD3q1geMkSoECYliWWVSsZLL9XM6t94w5NFi/IpKanezGRvr+Tf/w5j\n6tQLdcpeCFniTsyZE8/583dnDj5yZBM+/7wnPXsu58yZmpPDf0ds23aZMWPWs379CLp0Cf7jHWrB\n55+fxcZGzoQJdeu7pKRUsG5dJm+8UXO08M03efTs6UhIiO1N2xs5cEDPhAnWSdivv4bJk0WWDvDD\nUpE0AGzaLcT0vDwg7hS4OELzMFhzSBiMyOUQc0aMPn9JFPfuiTzwUkMFYJLAwRYKjMIEvI0d7Dfr\n6aWw4QBaggFHFCRTTGMcKaeKPPJxxw4vvMkiFRPF2GODK2GUcw4lznd1PR8kPAz09wFOtMFIBiVc\nxhk/PHBGThVXSCUYH1yQk0wu9XHAExmHKaEjGq7JqrADAmxN7KuEPi4SMQUwwEdkPv2DYPM1qO8k\nNOoPpom65DUnIcwXfFxgf4KQhT1wBnIKoVt7SE2HlGviQX1qHCy2lFba2oqa6G+/tR77s8+q2bKl\nisxMa1APCrKlVy9Hvv22Zl39Cy8EkpZWyfbtdfPowcGOzJrVhvHj9961s9SIEU348sveREf/xLZt\nl+/qM/4qWLXqHE89tZHNm0fdtoHI/+LChUJmzTrF0qXdfs+8a8ObbyYwdWoD3N2rZ/w6nZnPP89l\n2rTqvP78+VqefVaNvb34zKws2LULxo0T68+eg5xc6N5VLN9M2yzbARN6i9drLLTNhSwhZNYywELb\nRFjLKm9k8xuL4AlX2FEJfdSww6Sno0JBCnpK0NEOJ46ThwNmIvAimesYKccfL5QWft5MMWrscKT1\nQ89YHgb6+wJHWlLBRerhjwvuFhOSNGywIQBndJRziTxa4kY2pZRipBkKfpVV0lNhw1EMRNpApRIq\nzKBUgQyRAdV3ECJngxtBTBKMfESInOmNMLwDrDsMDhoY8JiQRFCpYHgfWLFRHNuYEUJtsNTCtjz3\nHPz0k1AkBHBxkTN6tB3fflu9fv6tt7yYPz+PqqrqXLtKJWfOnEjeeivxljz8M89E4O2tYdas03d9\nXYcOjWTjxpFMnLiJuXMP/+3E84xGM2++uYt//3svsbHjblty+H9hMJgYP34PH33UhpCQ2mvmAfbv\nz+fUqRJefbVmNr9sWSEtW2po2tSauZeUmFm+XMeUKdZJ2CVLYNgwIXEAgvqbMEbUxRcWC1/YJ7pD\nRaVwkhoVDRfSoFQLbRvCquMw4hFIKoDSKmjlC+tSYXCIGKUO8IENhTDAWWK7Fh5Rm0iTzOjkBlpb\n1CoboEKJjCwK8cMOV+qRzjXsAB98kSOnlIvIKMSJR+/qmj5oeBjo7wPKWIuGYBzxwgYjWrIpIIsg\nAlFhIJXr+OOMF3JOkE9bnJBj4BiVdFYo2WnS00sDOysFfbOpEPr7iDK0oQ1gXQoMsnjJ1neFcC+I\nTbRaDJpMMLYn/LRDHM/Tw2DxWsGhenhA546wzlKNExICLVvC+vXW458yRcN331VSVWUNpM2aaWja\n1I6VK2vyn/36eeHubsOPP9Zd936Dwvnyy3OcPXt3FA5Au3YB/PbbRFasEFlxVZXxj3f6C6CgQEvv\n3iuIj8/h+PFnadbM6493qgOzZ5/G01NdpwQxCP7+jTcSmDUroobevMkkMXduDm+/Xf0YfvxRR48e\nNvj5KSyfIUpwn39erDcYYMUaGD9GLK/cJOSIHeuJIN+uCXi7CQPwoe3ECHLVCRjVStyrAxtBQhFU\nmSDAES6VQ7gTnK0AX3uQyyBVbqCbQqhVtseWRCrQoeMR3DlPNnKqCMGLEoopIQsHVHgQiBwFFZyn\nHrVbJv7T8DDQ3weUs5l6loqbKjIp5AreBOKIDQXkUo6WCNwpoIQCdDRBzRlKaYodktxIotlEezsz\n27Uw0E1kPDdMw4c2gPWp0MgNVHI4nS0epNUnIdRH0DcHL0LXRyAjT2iCt2wCrs6wxyL7PmGMVRIB\n4NlnRanlDURGKmnSRMm6ddUNSN5+25tZs7IxGqtn0jKZjLlzI3nvvUtUVNQdeP39HZg9uy1PPXX3\nFA5A/fpOHDz4FBUVBrp0WUpaWsldf9b9wJkz2Tz66PdERXmxffsY3Nw0f7xTHYiPz+fLL8/x/fed\nbylbvHLldRQKGSNH+tZYt3FjMS4uCjp2dPj9PbNZ4quvtLz8svXYYmOFH+wjFoOqHbsgNAQahonJ\n2e9Xw0RL5c3ynTDO4ja11mIAfvQq2CihRYAI9IPCYW0KDA0R2vM9PGFXMUQ7wz4d9FbDTrOBaIWK\nvWhxx0wTHIgnnxDUKJCTSS71kBNEIBkkY6IEDUpcCEGOLdkMxsTdJxIPCh4G+vsADY+hpAoD1ygj\nBWd88cQFPSWkc41Q/HAEzpBJS9xRYuAYpXRFza8yLY8pVBQoDeSYoIFG4mIlhPXHRRAAACAASURB\nVDtCQhk42oKPPRzOEVn9hoswrCVsPieap4a2ExmVUikMSVbsEsf07AhYZJEr7tsbEpPgkoXqfuIJ\nSEyESzdVSr74omiguhldujjg56di6dKaD1KrVs506uTGp5+m3vLaPP10I9zd1Xz88e3r1tcGe3sb\n1qwZyhNPhPPII9+xZMnpvxyVYzKZmTv3MN26LeO//+3KnDk97kjW4H+h15uYMGEvc+a0w9/foc7t\ntFoj//pXIp991rjGj4HZLPHee1m88453tXU7duhxdJTRrt3NOvSC2ruBpStEkgBw4iyUVUCXdpBd\nAL9dEAbgCelQUmGlbUa1goxSSC2CxwPFaHRoA5G09PcRxQYDXWF7JXTXSBwwGfBWSLihIJkKWuHA\nRYoxoKUZ3lwjh0qK8cAJJ9zJ5zJmilCjxJEGyHFAgdUC8Z+Kh4H+PkBNB0wkU0kqjgTightKDFzn\nMm6444WGIgopoZII6pFEEe6oCEbGbirooVARazbQ20Lf9HSGnSXQ3UNkQkNCbqJvksDLER4NhG3n\nRSb1yxFRcjm2l8i0JAlGD4CdvwoHIBsbUTXxjaUz1sZGyBcvXGg9h/79bcnONnHkiNUxSiaTMXOm\nLx98kI1eX5OP/+ijRsyfn0p2tq7Gups/4/vvO/HFF2c5cuTeKmjkchlvv/0Ye/aM54svjtG370rS\n0/8a2X18fDZt2/7Atm2XOXbsWUaPvnexrfffP0FgoAPjx9/aRWn+/Cu0bu1Chw6uNdatXl2Evb2c\nfv2cqr3/5ZdaXnpJ83vwz86GvXth1CixPitL6M6PGCqWF/0MzwwXVTWrd8MTHUFjJyq/hrYDCVh7\nGka2EhVi/RrCpRIoN0Bzd6Fv87g77CuFjk4Sx3Rga2MgXK7ghKySaDT8RjHOQBhOJJCNN7b44c5V\nriCjCl/8kCOjlCTM5GGLAjUd7vEqPxh4GOjvA+yIwsA1HAijHm4WcbOrGDHgjzcydFwmg6b4oELP\nKfJpgyPpaFEjJ0guscekZ4C9xAYtDHCFzUXQz0dkQkNChCtPGz/I10JyoZjw+vkUNPSFAHfYcxZa\nNARbFfx2HpwchU74jVLL55+Bn1aB1lJJOWmS0Km3iI+iUMiYOtWejz6qrj3fvr0DkZF2NYxJAIKC\nNEyYEHBLaQSA+vXrsWhRZ0aMiCU/v/KW294OmjXz4ujRibRr50/Llt/x5ZdH/8+4e63WwNtvx9Kj\nx09MmtSKPXvGExLics+fu23bNZYuTfpDyiYvr4pPP01h1qxGNdYZjRIzZmTx3//6VvuM+HgDZ84Y\nGTnSqk+/cCEMHy7KcQG+Wywa7pycRO382m1CqRKEL+yYHiKhWHkARjwGB5LBq56YP9pwUSQl6y2T\nsHH5whv2tA4edYDf9PCYHRyUDPRU2LCHCqJQUYKRHMpojgsp5GOggkDEj1ce19Agx50AFNhSwQUg\nCw2P3fO1fhDwMNDfB5QxDjWR2FtkiqvIopBr+BOCHZBDJhISDXAmhTxcsaU+Cg5TTDc0nJfr8JTJ\n8bI18psO2jtJ7C+FLp6wOxcCHcFBBafyhHH4L4lC5GxnAlRUwfjOsCzOIlHcQzSxADw1VEzKAgQF\nQrvWovkFhHxx9+6weLH1PJ5+Ws2JE0bOnKneFfv++z7MnJmNTlczq3/nnTBiYrI5ebJ28/gbGDAg\nmFGjQhk7ds+fYg5uY6Pg3Xc7sW/fBLZtS6Zhw6/4/vuT9zQXcCcoL9czZ84hGjT4gvT0Us6dm8TT\nT7e4bfu/W+HKlVKeemofa9ZE4+V1a35/xoxLjBzpR1hYTWpn+fJCfH1VdOtWXUvno48qeOMNDXZ2\n4lgrK0Xt/KuvivUGgwj0ky00zi87oG0U+PvA5XRIy4EuLeHYZTGB27Yh/HxSJB8FWjieCdEh8EuK\nCPSbs0TSsqlQFBtsqICB9hBrMtBCLiMLIxXoaI0TJ8nDBQjFgxQysMNMEPXJJ4tKsnDADhfqo8KF\nKs6gRI/EQ6eyh4H+vkCJLa4o0f7O07sTgjMaKsgnh2zC8UOOjvNk0RI3dOi4jJY22LKXCqIVNhww\nG+ishsN6aGUPZyvhURfYkSMemPWpMLIxrDoPbg7QLgS2nhf1y1tPihK3UdGwZo8QnurcFkrK4PQF\ncZSTn4MFC60esq+/Dp9/Lqp2ANRqGa+/rmHWrOpZfevW9kRFqVm0KL/Gmbu62jB7dgQvvHC2hkPV\n/2LmzDZotUZmzjx5z1f8Bpo08WT79jGsWjWEn39OIDz8K5YsOf3/LcMvLa3io48OEBIynxMnsti5\ncywrVw7By6tuDv1OoNMZGTp0J9Ont6BDB59bbnvsWBHr12fxwQc1qR293sz772fx4YfVs/mLF43E\nxemrWQUuXw6tWkGEpahn4xZoEAJNm4jlxWsFbQMimx/RTcwJLd0nkgyTGX6Jh+GPiCSkV6hQX83S\nQlsvWJ8p6ue3FEFPF4ntldBSbaJIMpMr19PJolbZFDVlGMihiEjcyaGIMgpwwhYfgskmAYki7FDg\nSAA2BFDOC8Cdy208aHgY6O8DVHRGQQlGLqEjjXrUxxV3TJRwnWR88MUDNVe4jgcO+KAkngJa4UgV\nVVzGQFuFnFizgYEaiKmA/q4iAxrqB2uvi0D/Syo8FgB5WkjIg+GW5il3R+jSREzKhgVAfS/Ye9Ji\nJTjEmtX3jIaiYjhucf5r0wZ8fSEmxnouL7ygZs8ePZcuVQ+U77/vy6xZOVRW1nyoJkzwR6NR8M03\nV295nZRKOatXR/PNNxfYvTvjXi55DbRvH0Bs7Dh+/HEgK1eex9f3MyZO3ERsbMo9Z/kVFXpiYhIZ\nPz6G4OD5JCbms3//k6xZM/SeyiZrw8svHyQ01IlXXqlbfhhEjf7zz59lzpxIXF1r+ssuWVJAw4a2\n1SptAGbPruDllzU4OIjQYDbDvHnwxhvWbb7+DqZYSixTrsGFy4IGlCRYGStGjVUG+PkwjOsEcZeh\nvguEuIskZFQTQTUODIbDheBjB4WAhxKuSRCpgngMdFfYsFempRNqjlGKDQZa4MYZMrFHIhQ/rnEV\nI+V44IID7hSTiJk8bAA1/ihphow/50f274yHgf4+QEUnzJzDRC4OhOKIKyoMFHAJDfXwwe132eIm\neFFJBcmU0AZHfqOY9qiplBu4ZDbRQWMmtlKYkWwtsuiC5AiNep1JTHCNiIQ1F0Sb+e6LUK4TmdUK\ni9TBuF5WSYQJQ2D1FmFCIpcLrn7hD9Zjf+01mD/fulyvnpwpUzTMnVt9ONyypYZWrTR8/33NrF4m\nk/HNN814//1L5ORU1Vh/M3x97Vm+vBvjx+8hK6t2L9p7weOPBxIbO474+Odp1Midd97Zh6/vZ4wd\nu565cw+zY0cyGRmldVbsGAwmLl8uYOvWS3z22RH691+Fj8+nfP31CVq39uPcuUn89NMgIiI8at3/\nXrBsWRK//prFokW35uUBFiy4iqurDWPG+NVYV1VlZubMbD74oHqpZVqaic2bq6o1SO3aJSbnu3QR\nyxeTICFRqJ8CLF0Po/uLbU5eFCPF1pGw7SQ0qQ+BnhYD8JaQWQZncqB3qBh9DgqBdddFsrKlUCQv\nGyrgCXvYZRZqlb9RiSMmQlCTSCFhaDBhJodcAnDGHgeySUVJFZ4EosAWLQlIZKDEiIpO93bRHxDI\npL9IDZpMJvvLlcP9WZBMiRTJB1Ala4EeHyqxowAtGehwoT0yHLhMNjo8aUQoB8nCgDtdCWA2mUwk\njGPoyK/S0F9hw9c5trzrAq8kyVgeBm+cgqlhEJssNEOifWDcBrg4GXovgKfaiqDv+wzEfwb2NhAy\nFK6sE1oknUfByxNgcC/IzYXwKLiaKCbajEbRRLVhg2ikAsjLMxMenk9Cghve3tbmm1OntPTvn0Jy\ncmPU6po5xNSpFygoMLBkSdQfXrP//vckmzdfZd++AWg0qj/c/l5w7VoxsbGpnD+f+/ufTmfE1VWN\nQiFHoZChUMjR602kp5fg41OP8HA3GjZ0o107f3r3DsPZ2e6Pv+geEB+fT3T0ZvbtG0CTJrcuF8zK\n0tGs2X4OHGhPo0Y1tey//TaPjRtL2L69uhb9a6+VoVTCnDnWfXr3FpOwN+wCX39bSGXM+kBk+yGd\nYMNCiIqESXPAzx3eeQqGfAJ9WsKELuA7HY6+BZtSID4bPuoOkashawKE7IJ9HWFYCnwTLDG8GLZ7\nS/Q2FbFQbcsPsmLaYMANFdtIYAze5FHKNc7ThRC0FJHFSYKwwxcvJNKRcwkHLuCKBw7MRvWAT8je\nTux8GOjvA6SSxmjtw6hSuqEFCtGSRQV2dEKJO1mUkEQxzehMJUa2kU0XWlCGmcOYeRI/plLMm0Yf\ndpgMNK+sx1UjaMplOMjBVQ+nimGCD7x1GI4NhQZfwvrhcDIFtifAumfhuW8g1BveGgSj34P2TeHF\nofDjOojZBRstTVLDx4pu2cmW4fns2ULobMkS6zlNmVKKk5OMjz6qHkgGDUqhXTt73nqrphZ6WZmR\nRo32sW7dI7RrV7PUr9o1kyQmTNhLWZmBdet6oFDc38Fnfr6WkhIdJpOEyWTGbJZQKOQEBTljZ6f8\n4w/4E5GWVkb79jHMm9eBYcP+WNVy9OhTBAaqmTWrZqesTmcmPDyBNWuCadvW6rxUUGAmLCyfc+fc\nfu+EvXgROnWCa9eErLVOBwEN4eh+CAmGfUfg1Q/hzDYheRAwEM7+BPYaCHoBri2Ek+nw9gY4MQ3a\n/QAzOsG1KojLhCkt4fnTsPUxaHUWtjSTGJ8H830NfG7Q0tbOgAtydpHGq/iwhiTCLKqVpzlLEOBN\nPXTkUcYRwvDHEQU2FKIiBQ3xuJZ3BM3XyOTuNa7Fg4LbiZ0PqZv7AWVXbAx2yCnCSBI60nCmIfXQ\noKeALK4SRCD2wEWuEYEX9TBzjFw64EQiZXiixF8hEWcy0EMtsakC+jpLbCqCwb6wORvaeEFqKWSU\nw4jGsNriyRmbCKWVMPZxK30zsT98v0nwqkN7w6/HIMuiQ/bc07BwsXVSduJEkdHn3qRT9vrrQhah\nrKw6J//xx3588kkOubnVK3MA6tVTMmdOBFOmnPvDiVmZTMaiRZ0pKam6K1eqe4W7u4YGDVxp2NCN\niAgPGjf2pFEj9/se5IuKqujdeytvvNH8toL83r35HDpUWKsPLAi9+RYt1NWCPMCCBVoGDrT9PcgD\nfPmlaJCyswxW1sVAyygR5EHQNk8OEa/X7oUOzcDfU8wF9WgOzvZW2uZKEaQUQddgiLki+PlfrsNQ\nX9haJIx1tmrhCQ1sNlbRT2HLPrSEo8CMRA5lROFGIjmY0dKIANJJo4piXLDHnRCKOGfh582o8UZl\nagqGOJDdOqn4J+CuA/3atWtp3LgxCoWCU6dO1bndjh07aNSoEWFhYXz88cd3+3V/b6i6oTBkYuI0\nZkpwoAGOuAEl5JCAK1544kwh2WipIhRncijGgJlwbPmVYrqi4aSskii5kusKA/Zy0ZByXQ96OTR0\nEH6y/YOs1TdrEsDVHro0hHWn4bEIKK6As1ehc0so18KJRHCwhxF9RQs7QNfOUF5unZR1dxcSxjfL\nIjRooKRbNxu+/7563XvDhnaMHevKjBlZtV6KUaP8cHJS8cUXt+6YBVEiuX59L3btSueLL87e6VX/\n26OqysTgwTuIjvbntdea/+H2er2ZF188x+efN8bevuYPUm6ugTlzcpgzpzpvr9VKLFhQyZtvWoN/\ncTGsWiX6KW5g4Q/w/NPidVEJbIy1KlUu2gzP9BOvl/8KYzuJCdl1p4XQ3s8JwhdWa4RDWdAzQAT6\nIX4QYymr3KSFvhqJ7SY9UQoZZZjJooKOuPAbufiixBdHUriOG7Z44EkmKUiU4Yo7Gnyp4LyFn6/C\n1ugKqq7IZA/z2bu+Ak2bNiUmJobHH3+8zm1MJhMvvvgiO3bsICEhgVWrVpGYmHi3X/n3hbIzMuNp\nZJI9aiKwxwkFOkq4gC0OeOOFHD0pJBNOALYYOUcWrfGggHKKMNAMJXFo6auwYatJTz+NkHEd6Aq/\nFMAgX2ExODIMViVDMy+wUcCJTBjfBn46KiZbR3WEVQfF66f6whKLCcmksfDdasHJy+XCU/ZGpyzA\nSy8J+WLDTYn622/bM3euFq22enb+7rs+rF1bzMWLNTtiRSdsc2bOvMzFi2V/eOmcnW3ZurUPs2ef\nZtOmK3d1+f+OkCSJp5/eh4uLLZ9+2v629pkxI4mwMHsGDqzdQvC997IYN86NsLDq8wmLF1fStq2K\niAjrj8OSJdCrl6i6AjEBm5wC/fta1q+Fvl3A0x2SrkFyBvTtAGl5Qq2ydwtR2tvUFwLdRKAfEQkb\nrgh3tGQt2MjBWw3HyqFpPYkMIyhVRjxlcpLlOjqj4RDFtEBDBuVoqaAxXmSQi44iAvBBgYJCUlBS\nhQsB2OCOniQkLqE0lIKy251f/AcQdx3oGzVqRMOGDW+5zbFjxwgNDSUoKAiVSsXIkSPZuHHj3X7l\n3xay3H+DLBRbYxi2aFCiRUciJqrwJAhbTOSRhhoNfjiSiXBOCseeo+TSHmfK0HEFA+0UCnaY9PRR\nS2zRwlA3WGcJ9BszoYuvoG+ulAovzp8ToG8TOJcJ1wpglMU4XJJgQh9RU6+rguYREOQn3IFABPoN\nW0TrO0Dz5hAeLrK8G2jZUkW7diq+/rp6BY6bm5K33vJi2rTrtV6P0FB7PvywEePHx9+WpWBQkCMb\nNvTimWfiiIur/TMfJEiSxPTpR0lNLWX58m63NT9x+HAhixen8913zWutyElIqGTdumLefbf6j4BW\nK/HRRxW89541mzcaBW3z0kvW7b78RtwTKpWYhP16BUyxaNL/uE1UcqmUwqt4SDuwUcGyozC+rejU\nvl4qtG1WXYZRYSIpGewntOd7OsMenfCG3WY20Fdhwz60tLOoVRrR0RIPLpCFIxCCLymkoAZ8qY+O\nYipIxRaJevhiSyhmKQu5IR7MfiDVpBH/afj/Oqa5fv06AQEBvy/7+/tz/fqD/6DWgOEKmAKxMSiQ\nU4iRS1SRjRsRaFCgJZs8MgghBAktl0inKd6Y0JFMKa1w4DeK6YCaZEuXrI2NkRQDhGskUnRCFdDN\nFk6WCDXA1ckwvDGsTRDrhrWEFcehWRDY28GRJAjwgkfChaQswKQx8M0K8drNDUYNEzXTN/Cvf8Gs\nWVbrQYAPPnBgzhwtpaXVA/ZLL3lw+nQlBw6U13pJXnghEGdnJbNnJ9/WJWzd2os1a6IZNmwX+/Y9\nuPeQJEn8+99H2br1Gps29b6tiqPyciPjx5/mm2+a4uVVu4XgW29dZ/p0L1xdq1M6X32lpX17FS1b\nWr9nzRph+t2unVjOz4fV66y187EHoZ69cJIyGmHpdjE6BCF5MLoj5JeL+vkhUeIeHBIBhVXwW46F\nXswUycm6ApGsbNZCP43EVlMV0UoVx6jEBgNR1OMk+UThTBallFJEMB5UoqWEbBxQ4UkY5VzDQBq2\nyLDDHRtzE0AJ6SPAXPs9+E/CLQN9dHQ0TZs2rfG3efPm2/rwO233njFjxu9/cXFxd7TvXxqabqA3\nojBmYOIMJopxojEa1BjJI5/LeBOIMzakcw03HPHBjgSyaWqpuT9JGd1Qs4MK+ips2Gk20FMNu3TC\njeeXQhjkIzKlUWEic2rqCbZK0XI+vo3IsADGdBRdi1CdvhnaG84kwiULff7qi/DtD6IFHqBrV6F1\ncrNWfePGSqKjbfj88+pZvZ2dnJkzfZg6NaPWigCZTMbixVF88cUVTp++PeGxrl39Wbu2B8OH72Lv\n3j+3oeqvAEmSePPNI2zfns6+fQPw8FD/8U4I16jHHnNl0KDaO2X37CklMVHHlCnVa/tLSszMnVvB\nBx/cLE8sfszfece63beLYPAA8LL0fi34SWTzMhnsPAqBXhAZLJQq80qhYwSsPiFGko5qMaocHikk\nifsGQoYOSgzC+/hImfCGPaSDBnYmdECpTE9T7DhNKe1x4jT5qDHRCE8ukoYNBhrQgAyLk5QjDjgT\nTjkXMJOBEh22BicwN0Fm2wgU964t9FdCXFxctVh5O7hloI+NjeXcuXM1/vr3739bH+7n50d6utV8\nIj09HX//ul10bj74zjechx8E2HeDyiRkxvPIJEfUhKPBCSigiHM44o0nbmgpIIdswvDFjJZEcngE\nN85RQChqXDBzhEq6K5Rss/D0m7UwxA3WW+ibDZnQ3huKq4Spw7AIkVG1DQajGU6midrmtUegQgcD\nO8GJi5CRa7ESHCq4ehA6421awQrLskwmsvrZs60VOQAzZtjzxRdaiourZ/WjR7tiNEqsW1e7zo2/\nv5pPP41kwoTTtapf1obOnf1Yt64nI0fG/unds/+XkCSJV145RFxcJnv29Mfd/faC/K5duWzdmsP8\n+U1qXW82S0ydep3Zs/2wta3+uM+fr6VXL1siI61Z/ubN4j7o0UMs6/ViVPeahcZJuw6HTgrvYRC0\nzZOWbH7xHtGYp1DAT8dgXGu4XABZZfBYfZF8jLTQNgN9YUsxdHMSImat7WC/ZKC3woZdsgqiLfy8\nG1AfBy6TQyjOmDGTRxaeOOOAM3lcQkYpTrhhTyh6EjFzCaWhCAy2oOl6u/+Cvw06d+785wb620Vd\nNZytWrXi8uXLXL16Fb1ez5o1axgwYMCf8ZV/LxhlyIwFIIvAztgAWzTIKaWceGxwxg0fVBhI4yL+\nBOCIglSuE4wrzkgcJ492OHGWUppiS4ncQBkSEXbCS7Z1PYnzWvDRgN4MiWUwLBR+ToZhkSLQS8Do\nVoK+8XOD9uFCQlZtC0O7WN2nJo6AZTGCtwd4ZQrM/9oa2Pv3FwqXe/ZYTy80VEm/frbMn189q5fL\nZXzyiR/Tpl2vVRoBYOxYf4KCNHz44a0VLm9Gp06+/PJLT0aPjmXHjrTb3u+vCrNZYtKkXzl+PJc9\ne/rj6np7zVclJQYmTjzDDz9E4eRUO8WzYkUhtrYyhg6tbpBdXGzmiy+0vPuulZuXJJHNT59uNf7+\n+RdoHAlNGovlRT8LiWt7DRSUQOxxoW2jNwjhvKe7wuVcuFYI3RsJX9ghEULXJqEQegSIZGSQr0hO\nhrjBxgror4FtJj29FSp2oyUMORoUpFJMazw4zXXsMBJOAFdIxUQ5/gQAEmVcQoEWB3yxpQGSlI/M\neBqqMkWS9RB3H+hjYmIICAjgt99+o2/fvvTuLVyAMzMz6dtX/MQrlUq++uorevbsSWRkJCNGjCAi\nomYTxwOPi2NAGQVGX1QGGXKK0XMKOSpcCMYWM6WkYcaMP15UUEgm+TTFi1RyccGGAIuaZU/siZVV\n0Euu4hAGOthZJrJcEDX1fqKtfIQl0Df1BAcbOJQGY1qLIbXJDBO7w6Ld4vAm9IGl28SDHhoEzRtB\nzE6xrlsX8f6+/WJZLoe33oL/rZR95x17vvyyZlbfrZsjrVppmDmzdq15mUzGwoXNWLQojbi4mvIJ\ndaFjR182bOjNU0/t46uvzv1tm+3Kyw0MH76LCxcK2bmzH05OtXPs/wtJknj55fP06eNFdHTtcgvF\nxUamTctk3jz/GjTq559r6d/flrAwazYfFwdFRTBo0I3vgHlfwqtTxLLRCD/8DM9bNOlX74bebcG5\nHmw6Do3rC1P6FcdESaVCDivPi56OtSnwRDDkVQnLwJYuEFcK0c4Sm7TQRWPmotmERm7CGwUplNMB\nZ45ayiqdUZNBDp5ocMONTJLRIMeLEAyUUclFVFRhhwe2pkiQnJHpLsCVL8Fw+/fVg4q7DvSDBg0i\nPT2dyspKsrOz2b5diKf4+vqydevW37fr3bs3SUlJJCcnM3369Hs/4r8jnLuBsR7oq1AY0jARD5hw\nJAI75OjJpIBUAglHiYFUUgjGB2fknCKDR/EglzJKMNEcJbupoKdCxXaTnqH2sK4CBrvC+kIY6Q+r\nMuBRD6g0wflCmNAclp0VWuB+zrA3Cfo+ApezIOm68PaUyeCAxeTpuVFW+kYmg5cnwfwF1tMZPVp0\nTZ44YX2vrqweYN48fxYuzCcxsXateR8fO5YujWLMmNNkZdVtUvK/aN/em8OHB/HttxeYPPnX+yZB\n/Gfh6tVSOnSIoV49FbGx/XF0rCk+Vhd++CGNkydLmDs3ss5t/vWvTPr1c6Jdu+qiXkVFZr76Sss7\n71Rvmpo9G95+W1AvAIeOQFk59O4plrfshSB/aBIufgQWb4En+4h1i3bDRIuw2fLjMOZRIXdQrhe0\nzZpkS/JxXdA2sSXwWD04ZYBwFZyTCW2bfTItPXHgEMU0whYdRnIoIgpfLpOOiXICqU8xeejIwR4b\nXGmEnhyMJKJEj42xHpgbgiISyo6D8qHD1MNOgvsBl25QmQuVF5AZLyKTnFDTGDuUmLhOMRdxJRhn\nNOSRBkgE4koOeahQEIwdx8jjMZxJogxvlDgqzMSbjXTRmNmlFa48R8ogrB4YJYgvgeENxAM2pqmQ\nh600iAdwxXFRCje+s+BVZTKYPBgWWCZZn+gOicmQZJmUHTsKDh+FFMuyjY2QML7drN7X14b//Meb\nSZPS68y8e/Tw5Nln6zNq1KnbKrm8geBgRw4fHkx6egU9e26hoOD2fyj+LxEXd5127WJ46qlwFi/u\nckcdt6dOFTN9+kV++aUVDg6173fsWAUxMcXMnl3TI3bePC1PPGFLgwbWfU+d+n/snXd4FOX6/j+z\nNVvSG2kkJCSEEnqzgHRRUIpUpSoiqEc49nrAzg8bFsSGUkTpXRQERZHeAiSEVEgjve5uNlvn98e7\nGGIAy/HLOXp4rmsvMu/OkpnZzPM+c7/3c9+QmgoTJjTst+A9MckrPFniwy8bqvnDaVBlgoHdBXf+\ncBaM7AmHzglT767RoriYmAR5JsiugX4R8GU+jI/0rCkFiiJllEHANoOVarZj4Qa0ZFBHPVa6Ecwx\nCgjHi2D8yOMcBhREkkAJabipwoAeH5JwkoebdFSOCnAoQQ4Dv74NONT/jR/GnAAAIABJREFUcFxL\n9FcjfHuDJQVJdoLUDi9HCzTogEIspGAkkiCCcVFJEWdpQQu0uEjlLB2JoBYThVjoioEfqGIQBn6U\n6rhBoeIYTrp7wV479PWBbdWiql9ZAKPjxCNzmBG6hsOWDGHltukEWO0CT13+g7AZnHQL7Dgk/D41\nGtHa/qHHMFyvF1aDCy+yFrz3XvGon53dMNaypYphw7RN9OoB7r8/mJoaFytXVl32Mj33XAJqtcTc\nub8drwfw8dGwadNgunYNoUePdRw8WPK7Pn81Q5Zl3nnnJOPGfcvy5f2ZPfvSvPfLRXW1g9Gjj7Jw\nYRKtWl1aftflkpk5M4/58yPw9288EZSVuXn//TqeeaZxNf/aa2Ly1ngeKvLy4fsfYbIn8Z8rgMMn\nYbSngn9/PcwcISaBJd8LzwOdFr7wVPMuWcA2E9t7bC5jIdcKeVa4LhC2VwsJD4HPC2mPeKWEE5lS\n6uiGD8copzXeVGPFRDVxhFFJBSZKCCEAHT7UcBqJavR4o6M9slyG5EyG+jyw1Ymn6WtxLdFflThw\nJ2hagqItOEPROBVIFGPjGF5E4Ec4apwUk0IIkQSgp4wiFCiIwcgJCulEEArspGKhJ1p2YuEWpYav\nXXbuMMA6i+iS3VgBYyNhVQF0CQaHG05WiBtu+UkI84UuzUXXYmIkRAfD9uPga4TRfWGxhzk7c4LQ\nMqn1NK/eP12YQZs9lGSjUeigvP5641N98UUjn3xi5ezZxjCKUimxcGEUjz5aSG3tpSEWpVLi8887\ns2RJPtu3l15yn8uFUqlg/vzrmDevJ8OGfc0TT+ynvv4/Yx94ucjJqWXAgC0sX57Bvn0jGTDg8gy0\nS4Usy0ydmsyQIaGMGdO0Ur8QH35YjtGoZMKEphovc+aYufNOL2JjGyaAnBz49lsxeV+IRR/DxPHg\n7dGsW/Q5TBwOOi+xCLtpj6Dmut0i0U/tJwqGVcfgzm6wIxti/SA+UBQbo+PE3+ToCPjRBO0NkOaG\nGDXkK50k/uwNa+B7qrgRH1KpxE09HYkghbP4oSSGGPJIR0EdocSiQIWFUyipRksgWldrkIOR7Nlg\nSgGrDZzXePTXEv3VCKUBpAhw6MBeh8JRgItDqIjESBRqnNSRgxM7YUTgwEQu52hDNFZqyaea9viR\nTAXd8KGSOsy4aaOEHS47t+hkttXBIH+Zb2ugpQEMKjhYBaPiGozD9+RBmQUm9oAlB8ShTekLn30n\nfp45Aj7cJByloiNg4I0NpiTRzaF/H2EhdyFmz4bVq4W64YUID1cye7aeJ59sKm9w/fVGbr7Zhxde\nuLQODkBoqJYVKzoxeXIyBQW/3z921Kg4Tp4cQ3Z2LZ07r/2vqO5dLjdvv32S7t3XMXhwFPv3jyQ2\n1ud3/z9vvpnD+fP1V8TlS0sdzJ1bxMKFUU2eFFJTnaxZU8+cOb80GxGT9oWkbjbDJ0saGqRMZli8\nBh6aIrY/+wpuvxGC/ODH02DQQpc44X3Q3B/iQ0RRMbE95JpEp3afcPGUOT4KNlR4pDsscMfPsI2G\nb7F4TEZq8EP2mIAXkUAA1ZgwUU4ogegwUk46OpT4I6SW7RxHSTUahy+440CZBGjgxBNcS3PXrsDV\niZD+gq9oLfbg9Gko5OboiUWDEwe51JJDOG3Q4qKQTAIJIgwDpzlHW5rhhYOjlHETfuymmoEYSFbU\nk6hQckbhpJ0GTjihkwF21jbAN6PiYHU2GNQwJF4YkozqBPtyoKBKGDd/exIqTNCpFYQHwVf7xGE/\nfA+8vUSwLQCefgzeeFuYlAAEBwvRqxdeaHy6jzxiYP9+B/v22Ztcinnzwlm2rJKUlMsn8ZtuCmL2\n7BYMG3YYs/n3V+UhIXrWrr2ZuXO7MmzY18ye/ROlpf8Z39ATJ8rp1Wsj69blsG/fCB57rBMq1e+/\n7b7/vpz587NYvboLGs3lP//444VMmhRAu3ZNefiPPGLimWcMBAY2fD4rSzTAPfpow34fLoa+vSHe\nI1f/2Vro2xNaRIkKftF6saYDokiY2k/A4Iv3wd3XQa0Nvs4SbJu1HrZNulk0SXX3sMNu95fZYIER\neplNLju9lEqysCNhpxV6TlNJZwJIowSJeloTQw7ZKKknilhqKMRBETpU+JAIuHFxGJWzUqj8uYNA\n1QoCuoHqyr66/wtxLdFfjQjpB9WnwXwaSVaC1BYvRwtUuHCTQx0Z+BGPL96YyMWKmSgisFFLERW0\nJogsSgnEi2YoOEQNN6FjJxaGK7VsdNp+hm/GBMLKcgHfrCmErsGCTnmkFCYkweenRAU2prOo6v0M\ngoHzxQUZhBHwwUbxc/cOEBEqVAoBOnaADkmw9POGU3vkEdi0CTIzG8b0eomXXzbyyCPmJouvISFq\nXn45nMmTz+FwXJ4S+cQTLenQwYfx44/9qqTx5WLMmJacPDkGp1MmMXElDz+89//EtepSsX9/Mbfd\nto1bbvmKiRMT2L17GAkJfr/+wUtEaqqJceOOsnJlF6KjL5+0du2qZdcuE3PmNO2Q3bHDRk6Oi/vv\nb/z555+HWbMgwIPy1NfDm++ISR3E093bS+CfHtXKbw8JmK97GzBZYdMhIX9dZoJvz8D4brA+DW6K\nhkA9rMwUbJtVBTAmEvaaIEwNJRIEK6FC6cIfiXMKG73Qs4cq+uDPYcoIREE0/mSSRwyBKFBQSi5G\nlITSmkpOIVOGDjU6kkBWIDmPgS0X6k3gVEHw369h6o/EtUR/NSJri+hY0rYGRWtwhKB2yshkYucM\nBhLwJQQ3FZSSThQtMSD9rGapw8lJztOTEE5RQTx61DhIxUYfpZJtLjtDdDJbLDA8QGZbFUTqIVgr\nPDkntYLlGTAgFnKqxOue6+Gz/aJCm9IXlu4WhzqmPxxMhVwPujJrqrjRL8RTj8H8txoMw/394aGH\n4MUXG5/yXXd5YbXKrF/f1Dpw2rRAQkLUvPLKpbn10MCvt1pdzJ6d8od58iEhet57rxenTo3B7ZZp\n23YVDz30E6mplX/o/7tSuFxuvvkmj759N3HnnTsZMiSanJy7mDmzHQrFH2N+FBXVM2TIQd58sy19\n+17ePKO62snUqbksXhyNt7ey0Xsul8zjj5uZN8+IRtNwHGlpsH27SPQXYunn0LG9mNRBUCqD/OE6\nj7vYh5vgvuGigl+7D/q0gxA/0Qk7rD346sQi7F1JokHqfJ0Q2ltdCGMj4MtyGB8E6y0wQg+bXTZG\nqLTswkI/dOyhmgS0OHBTTCVJhJFFARJWWhBDKQXUU0oAwegIxsxJoAQNWrSuJJBDkOy5YD4Jpjzw\n6/6HrvvfLa4l+qsR57aAV2uQQsGhAUc9Skc6btLxoi1GglBho4JkfIkgAG/MlFFNFXGEkUsRvuiI\nRsM+iumDP/uppic6MhQ2YhVKCpROIlWQ6YYe3rC1Six8rS6ACQlC5ExGCJ19mSLob3oN/JgF/ZOg\ntAaO5wjmxF2DYPFWcegjBgnGxfFUsX3j9RAaIkwoLsSsWfD114JbfyFEV6yRp54yN6nchalIcxYu\nLOPo0ctDKmq1grVru/Ldd+W8/fa/J1EcEWFkwYIbOX16HHq9isGDt9K27UpeeOEIZ85cngn0a2G3\nu9i+PY/p03cTHr6MZ545yD33tCYz805mzGj7bxmVmM1Ohgw5yPTp0dx115UXbh96qIDbbvNl0KCm\n2P+KFfXo9RIjRjRuxpo7VzyR+Xg+4nSKSfypxxr2WfAZzJ4qEvv5Mvj+GNw5ULz36XcwuY/gzi/e\nJ4qHYrPQVrotAZali7+9VJPo2G7vKyS1xwYK2Ga4Xmajy86tShV7sdIMCEBFFlVcTyjJFOKPRBQh\nnCMHf/Q0I4ZiUlBiwZ8WaAjExjEkCtE4vMAVK/B5RSBY8uCrcWAt+8Pfwd8lriX6qxGR/cGhBqsF\nrOfBmgquLNTujngRghorVtKRcRJCNGAmj3TiaIkaO2mcoyPhVFKDFRcJaPiRKvqjZycWhik1bHTZ\nGWGADRZRMX1ZLhL92kKI9oFWfvBNHtzZDlacEod1z/XiBlUq4b5B8L5HBmH6MMG+cTpBpRICVheq\nekmCJx+Bea83yCL4+goT8V9i9YMGaYmJUfLJJ03x+IgIDQsWRDJp0jnq6y/Pm/fzU7NtWw9eey2b\njRsvv4j7W6NZMz3z5vUkN3ciH3/ch8rKevr330KrVl8wduwOXnrpKJs2nSUnp5aaGhsmkx2LxYHV\n6qSmxsahQyUsXXqGp546wLBhX9Os2VKef/4ICQl+7N8/kqNHRzNhQsIfwuEvDqfTzZgxR+na1Y+n\nnmp5xX3XraviwAEL8+c3NQK3WmWefdbM668bGy3OnjwJP/4IDz7YsO+a9RAeJiZz8AjcnRVidyAa\npMb0E8qVp3IhpwSGdoWD58Dhgl4thavZ7QnCC+HzDPE0ubpQwDY7a6CVDmo8l8ahdmJAokpykIiG\nY9TQhwD2UUJrvLHhpJQyEomigHwc1BBKMBr0Hi8H8KY5KkJxcQSlI1/w513+oIwFQxIYI0D35xu1\n/9Ximmfs1YiivbD7PjCUQIAVQvyQgxKwGyKxamVqOE8pNjTcigJ/csimCl9ach25FJGPRGeS2E0+\nzYghCC/WYOaftOB+Kljnbs4t9TWsV/ozrETiRBhEH5PI7QJ9foC320NGmUj0a2+G2HdhwxiINELL\nOZD7klgrTvwH5CwCfyPccB88fhcM6w2V1RDXB858C6HBAu5p3x1efwUGe8SvTCZo2RK+/x7aXEQK\nSU52MHhwNampgY0WAUHQBUePPkuLFhpee+3KFeuRI9XccstBVq/uckUI44+E2y1z6lQFp05V/vxv\nSkolNTV23G4Zt1vG5ZJRqxXEx/vSurW/5+VHz56hRERcms/+7xzP9OknKSy0smVL9ytOGiUlDjp0\nSGPjxrgm9oAA8+ZZOHzYwbp1jdcHRo6EXr3EBA1i0u7YE+a90NAJe/fj0DIann5AQHVxo2H9q9C5\nFdz/IYT6wZyxcO8KiAuCJ2+G7p/Ai31AoYUnD8CRUZCwA77sDgvKoKc3lGtlTDLovOvQADZNHeGo\n2EUe/ySCNznGPUSQRxXnSWMw7cghHSe5tCYGMFPLDqIIxxctGsyo5NP4VZ2C6mgkkx9Y9GBSga4l\n9H7nT/le/lvjt+TOq2uA+b8aTglqc8E7CDQxIPmAKxiVoxa3NhcXdry5ERV6Ksiljkoi6ADUc46z\ntKMPFmo4Ty2D8WMNufQmklRqSUBDgcJGM0mBRelEjZqzbujnC5sqRVW/phBeag2P7oMau6jql5+E\nNwYJ4anVR+HeG2FwJyFMNWsozBgO760TiT7ATzTKfLQSnvuHaJJ54mF4bUFDovf2Fg03L77Y2Jyk\nY0c1o0dreeopMx991BhWkCSJRYuiaN8+jZEj/Zq06l8cXbv6sXZtF0aPPsqXX3amf/8/r0pTKCQ6\ndAiiQ4f/vIG0yyUzffoJ0tPNfP11zysmeVmWue++PO6+O/CSSf7cORevv27h4MHGfPrjx+HAAVix\nomHsmx3i3wvfZ1mFMIzP9FBvtx8UdMrOraC2DlbuhZQFYLHB2mOQ+pxQqsyrgf6xcM/3MClBdGi7\nZGjjDVsz4PUYuLkU3guUedBlY4nWm2mU8g6BbMRJFWa6E8wpiuhECEVIlFBANBGkcYYazhFOOGra\nY+F7fAhFjT9aZywonEiONDAXgCkELAEQf61hCq5BN1cnts0E33agjQOCwKkFWy0K5zFkuRIdSRgI\nwE0JVaTSjNYYUVBIJqE0wx81aZyjHWE4sJKPmU4Y+JEqhmDkK8zcrtKyxS2ap9Z42DerPfDNukIw\nqmFApKC7Te0oEr3dBVN6NnDqZ94MH2wX1d3YAZB6Fk55Ol//MQk++KLBSnDcaMjMgqMX2QU/8AB8\n9x2kpDQ+/ZdeMvLVV7ZL0i2Dg9W8914UkyfnYjJdWavmppuCWLeuK+PHH2PHjt/XUPVXCJdLNERl\nZ9fxzTc98fa+ch22YkUl2dm2S7JsZFnmwQdrefhhQyOpAxAQ2xNPgO4iBub8t+DxfzaoBXy8UqzP\nBHnmiAWr4KHR4ufPf4B+7SA8ADYkw/WxEO4HnyaLRVibCzadhbHxsKYARkfCNzXQ2QAWSabYBT4a\nFy7AJjkIRMk5LNyIH/sppRvBpFOKizraEEMWmWiRiSKOCrJxUIwPgeiJxUYKkIPa4QRnC1C2BWUI\n1JdBeQr8+DpYrmH01xL91YgW/UDhJ/i9VjNYi8B6CGQZjbszWnxQYcLEIXyIxQ8/bJR5XKdaUEsZ\n1ZhpSzDHKaArwZioowg73VDzLRYGK9VscdkZa5BZaYah/jI/mSDIC5rrYVcZ3BUPKzKgZQC0DYbN\n6XBzG8guh4wS6NVGVOs/pAoruAdGihscICkRWsfBF5vFtlotNMrnvdFwmkajkLh9/PHGp+/rq+CN\nN7yZMcN0SUrlHXf4c9NNRqZNy/3VR9BevQLZsKEbEyYc55tv/j7J3ul0M2HCMYqK6tm2rftlNWwu\nRHp6Pf/8ZyHLlsU00ZkHWL9e0CkffbQxnXL/fjh8WDRIXYhDhyHnLIy5Q2zb7cIq8B+TxfapbEg5\nC+MGiCJg0Xa434Pbf3YAplwnMPolJ2BaJ9h8DnqGQohOCOyNi4RV5TA2CFaaYbQBvnLZuU2pYZtk\n4VaM/EgVPfAhlSq8cBBHEJnkEYYRAwZKyCEAbwKJpZJkFNTgTSRa4nGRhtKRJrSSXUGgiAZ9WzC2\ngOoc0P/nn9T+03Et0V+NiOkP5gqoPgfVqVCXiSQFgtwJrcOAgipsHEeJD/40R6KWElKJ8NAsM8ig\nFc3RYCeFIroRxEFKuB5fMjATi5pqyY4akNQuNBKkOmGgL2yshEnNYVke3BoNJyog3wTTOsMnx0Gt\nFNokSw+Iam7GIFjkWZS9bzis/wFKPEzEp++HVxc1UCun3w0/7YPkEw2nev/9ogln+/bGl2DsWC2h\noQreeefSLJt33okiI8PGwoW/Xn3dcEMAGzd2Y9Kk42zefHmK5l8lHA4348Ydo7rawebN3dHrr5zk\nzWYXI0fm8Mor4XTq1JRXX1vrZtYsEx984NOITul2C0z+5ZcbV/MvvAqPzRaTNwg/grbx0MmjQf/m\nl/DgHWLy33tGJPW+7YQH8YkCuC0JtmVBnD+0DobPPWybPeXgrYJ4I3xTLbTnvzTDOCNsdtkZqtSw\nDTN90ZGKBSV22uLPSQrpSDPyKcVGDS1pST6ZuKkliDA0+GImGTUOvGiG2t0O3LlgPQn1tWCXwWUE\ndbi4966Jml1L9FclmnWF0tNQVwaqAFAngpQIDh0qRwkujiFThy9tUeOghtNoMBBGMyrIR8ZNNIHk\nUEALAtHj4iSVXIcPP1DFrRjZJlkYqtSyxWVnvFHcUGOCYJVH++arYvH3f0csfJkFIxMFDS6vRsA3\nyw6KxqqJfWB7MpRUC0x2bH8hYAXQ9zrw9W7QqjcYBBXvuYvYNhoNzJ8vOi1dFyExkiTx/vvevPqq\nhYKCphCNTqdg7dpYXnihmEOHfr2p6frrA9i6tTszZpzk9dez/7IL+WVlNgYNOoDT6Wbjxm7odMor\n7i/LMjNm5NGtm55p0y4tvztnjoWBAzX07t1Y9njVKgG9TZzYMLb/IJxKhXs9DVEuF/y/D8SkDkLk\nbuMeMemDgPZmDBK5c9lB0XjnpYbFx+GeTlBmhZ+KYXisKC4mNhdCez29oViWqXVDM7WLMtmNWuHC\nFyUl1Hm8Ycvo4VGr9EWiBWHkkIUfXgQTQSlpqLETSAIuanFyBhU2tI5goCuSy+Thz+eAqQxs9dDi\nGkYP1xL91Ym3+4B3HPi0AXUMEAQOFdQXIjkPI8k69LTHCyU2MrBRRQgtUWPjHGm0pCUSVtLJpzMR\npHKeBHzR4+I4Jnqj41ss3KpUs9VlZ6wHpx/sJ3PABJICbgoSFm53JghLN51atKgvPQFJEQJj3ZYi\nOmVH9mzwlH1oNHy4EWx2cXM/NRPmfdBArZx+NySfFI//F2LYMNFItXRp48sQH69i5kw9jz7aVAcH\nIC5Oy6JFUYwde5aqql+XPuje3Z+DB3vxxRcFTJ6cTH39X0uPPjm5hm7d9nD99f6sW9cNrfbKSR7g\no4/KOXnSyvvvN7+k6uXJkw5WrLAyf753o/H6egGrvfFGg+wwiEn6uSeFfSDA2q8hJAh6e/qMPtgg\nJvtAXyGTsfWIkLd2ueHT/XD39cIqcE+ecDNbnSV8YZUKYQB+ZxSsqfB0bJthrBG+ctsZotKyXbJw\nCwZ2U0kv/DhEKSEoCMRAPkXE0YxqqjBTShQtsGHCQjZeKPGlE3aykDmDymEBZxCouoAyFGw1UHlG\nFFen94Cl4o9+RX+buJbor0bE3QiaUMAoyup6C1iykWwnQIpE60pEiwGZXCykE0gSBlSUk4E3/gTj\nSz7nCMaPUNQco4AeBJNMOZ3x5ixmQlEiKZxUym5UKjchSjjuaIBvJkTB8jzoHQalVtG1eHdHgau6\nZXigN7zvkUGYPhA+3ike9du0gPZxsMpjHXj7AKirh117xbaXl2iXn/NSw+lKkpC9/de/wPKL4vyp\npwwcPOjg22+bdsyCwOuHDfNl6tRfx+sBoqJ0/PTTDdhsbvr02fe7jEv+k7FqVSEDBx5g/vw2vPxy\na5TKX4cXjh2r49lni1izJha9vumt63bL3H+/iRdeMBIc3Pj9d9+FDh3gYivm3T/CudwGKWJZFtDc\n0zPFd2izCzmMC4uwy3bDbd0gwBu+SYVgo2i8W35S2AUaNfBFplgL2lwE3fzBTwM7qmGYv1g7GmeE\nLS47Q5VqvsbMAPT8RDURSISgI4tSuhDJac6hw0UscZzjNF7INKMVtWTjpMAjS9wRt3wehTMZbFXg\n8hb4vK41+CSAygjH14Huj0lP/J3iWqK/GpHQX2S82lKoOgvVKWA9C6q24ExA41AjUUI9h/CmHd54\n46LE4zqVgJ1qCsinLdHkebpkw1BxkFL6489OKhiMke2ShaEqLZtcNsYZYZUFRgeJiuq2MDhWDcU2\nGN9SNLN0CQO9Gn7MhTFd4EgeZJVCjwTQaWC3pxt21hh4Z41IBAoFPHGfqOovxN2T4fQZ2HegYaxH\nD7jhBnjrrcaXQq+X+PBDH6ZNq6Wm5tKNUvPnR1BU5GDevN+mPKnXq1i5sjO33RZK9+572Lnzv5dl\nYbe7eeKJ0zz5ZBo7d/a8otzwxVFV5WT06BwWLoyiVatLe8ouWmTF6YR7720saFZeLuC0i41iZFlU\n83OebsDmv94txm/tK7ZX7RKTfJsWYvyjHaIIAFj4I9zf2+M0lSyKhrO1kFEtfGGXX4BtqgRsc04G\nCYhQu0l3uwhSyEhANVZaYSCVSnoSwhHyiMaICiXFFBBOMCBRQw5++OJHK0wcQ6IEHUFo3B3A7YS6\nI1B3HhyASw+qENC3gPg+oPj1J6W/e1xL9Fcj4vvA+dNQngH1NQKn9+oEchQ4QOnIxckh1MThTTOg\nigpOEEwCRpQ/m4b7oeQEWXQhknOUYURFJCoOUUsfvPgaC3coNax12hhjgLVmuNkD39S6YGQ4fJEP\nd7eGJWcEv/nujuJG9VLD1J6waI+o5u4bBAuFOyS3XAc1Ztjn6agdf5vomDzsWYTVasXj/8VYPQij\n6QULoOQX+XrQIC233qpl1qxLQzgajYJ162JZtKiMlSt/myaNJEk880wCH3/cgalTk5kx4yS1tY7f\n9v1cpTh0qIouXX4kLc3M4cO96NDB9zd9zmZzM2JEDsOH+zFmjP8l98nIcDJnjpmlS32aPB28+CKM\nHQuJiQ1jO3ZCeQXcObZh7NVF8OQM8f3LsmBczfa8v+e0GL+xNeSUw+FcGNsF9heI96+LhKVnYFw8\nVDngpwphAL6qHEYHwipPNb/BZecWpYZdHrbNTioZQAAHKCEWHW5kyiilPbHkkI2ElRgSKSIFqMGX\nZngRRT0HUGBC6/AFOiEpQsGcDLVZYCqBOrN4ek64htHDv5Ho16xZQ9u2bVEqlRw7duyy+8XExNC+\nfXs6depE9+7/owJD80eINmy/RPBuDapoIBBsVqjPQnKeRCGHoqMlSuowcxwtvgQTgYUCLNTSnAgq\nKEZCIhojRymgJ6GcopwOGCmhDi0SPgo3lcjYlS5i1HDEDrcHCEmECc1hRT60CYBob/g6T/CeN6eD\nyQb39RILbPUOoWHyQyqcLRFV/D9GiaoexILrI9Ng/kcNpzh5Apw9B3v2NozFxoqFv+efb3pJXnvN\nyJ49DrZuvTSEExmpYevWOB56qIC9e3+7ccTgwSGkpPTB6ZRJSvrhv4KCabE4efjhVG6//TBPPx3P\npk3dCAr6bSbgbrfM1Km5BAaqeO21phIHIPj3kyfXMmeOkVatGjN2srJEY9ScOQ1jsiygtrnPXOQP\newQKSxocpPaeBLMVBvcU2wu2wv2DRbL/cA9M7iGe+j5LhikdBPz36Rm4p7WQPBjaTBTX39bAyACZ\n1RYYY4Q1LhujVFq+wUJ/dPxIFYloqcNJOdV0IYqTZNMMAwEEUEgm/hjwI4oqTqGiDh/iUGDExRFU\njkrh86BoBZrWYKuFqiwoOw0l2XC+EOpqfs/X9beMP5zok5KS2LBhA717977ifpIksXv3bo4fP86h\nQ4f+6K/7a0doHBiiQBkAshfYgbpKqD0hlPak1ng5E1DjxOExDg8gHg12CkmmOYlocZNFJknEUkkF\nVuwkoGc/pfQjgO+oYjAGtksWRig1rHPaGO1ZlJ0UDMvLoHcQlNsgtVbckIvTIMQgJGXXpkFcMHSO\nEp2ORh3c3R/e8fi8TxkiJGrzPGzGe8bA7oOQdU5sq9Xw7BPw/CuNT/3ZZ4Xe+S9rAaNRwaef+jBj\nRi2VlZeGcNq317N8eQx33JFDZuZvx959fdV88kkHPvmkAzNnnuTOO4+RkXH1XYbcbpn164to1243\nZWU2UlJuYvz4iN9lHfjss+c5d87O55/HXFYB8/XX69Dp4IEHmmq2aQVnAAAgAElEQVTQP/qo6FgO\nvqiR+Jsdwkxk9MiGsfkfwaPThLYRiEn9wTvEJJ9dLAxGpvYDm0Oont7XC+oc4u9mYnvYWSB48x2D\nRDFxV5Ro2LvZDzJdoJfAqHSR43YRo5CpxoUDO3HoyaSKHoRwlHzi8aeWOsxU/qxWaaecZrTEhRUr\naWhwoacjyHYk5xGoLxL3lCIKdIng0wo0QWC3wTcLQdP0uvyvxR9O9ImJiSQkJPymff+q1Lc/Ldr1\ngzo7mGqhtgSqz0KlJ/OpO4MzCrVDQuYUTorxoT1eKKghDR2+hBBAOXmeaj6AU2TTmUhqMVNBPa3x\nYh/V9EPHdiyMUmpZ67Jzh16oBPbykSl2wBmrcPj5Il9ohO8uhOI6mNIRliSLw5nRCz74Sfz8j1uF\nfHGNBXwMcM9t8IZH3sBogBl3wmsfN5zmxDtF483uHxvGAgOFg9GMGY3plgA33aRh5MjLQziAx5Eq\nnFtvzaa8/PeZkAwcGMypU31o3drIDTfsZfLk42Rm/t8nfJdLZtWqQjp0+IFXXsnkww/bs3x5599c\nxV+Ijz4qZ+3aajZvjkOnu/StmpLi5PXXLXz6qW+TiWDTJqEo+sgjDWOyDHNfFtj8BfZNWhYcOA5T\nPYuu2QXw3VExuQO8vRXuHQgGL1iXDB0ihYvUxjPQMwIifOCTNFE8ZJsh2wIDQkRxMSkYUc0bYL3b\nzjCVll1SHYMw8B2V9COAnyimA34UUUs9tbSjBVlkYkRFBHGcJxkdEEAbbBTgIh0NCrSuTkCgIDWY\ns6C+TvDnFQGgaw5+rSDhelA1ppn+L8b/OUYvSRIDBgyga9eufPzxx7/+gb9jtOsPBelwPlUsxtbX\nglcMaNqDKxDsdpSODFxkoqcrOo/PVC1ZhNMOmVryySCeBOqopJJaWhHIcfK5kWacpJxW6KnHRjUu\nAhRunMiYVG5i1LCnHu4KEjfenZ5Eb1TDyFghJTskHs5UQHo5DE0SGGzKeYgKgps7wmIP4+bhcbD8\nGyj1wOazpgg63tl8sa1WwyvPwyNPCsbOhZg8WbBzPvqIJvHqq97s3+9g06bLV+zTpwdxxx1+DB+e\njcXy+yiURqOK555LICurH3FxBq677icmTz7OgQNVf3oBYrE4WbYsn3btdrNgwVnmz2/N4cO9GDQo\n5Hf/X9u21TBnznm2bYsjKOjSDVQOh8ykSTW88oqRmJjGC45mM/zjH7BoUQN1EoS8tM0Go0Y0jL30\nnuiC1XnWeOevEAY0PgaoMsPnP8KDnk7YD/aIYgAEbDO5g+DOf5sP4+NFJ+yYCMizQ2Y9DPSVWWMW\nsM06p41RSg3fYGYgBnZTRWf05GLGRR3tCSeFHOJpholaaikmnHDcuDCTiRFvfOiAjVQgB41DD+5E\nULUGWz5UJYO5FOpMAn90KiHpGkYPv5LoBw4cSFJSUpPXli1bfvMv2Lt3L8ePH+frr79m4cKF7Nmz\n57L7zp079+fX7t27f/Pv+K+P12eCUgfezcVjpXciqJoLbXprBdSngCsdtbs7WvyRKMJEMv4emmUJ\nKQQSRhDepHOGdsTiwsxZKulOID9S5IFvKrkZA19JFu5QalnjgW9WW2BiMHxeBu19QKeE/ZViUfbT\nNFArxKLsoqOiU3ba9eKGBvjnbQK+cbkgLEho4CxYLd4LChASxi++23CqY0cJDP/zi4TNJEkknH/9\nq+nCrMEgsWSJDzNnmigqunwSf+WVcOLjtQwZko3Z/Pv58r6+av71rwSysvrTqpWRKVOOExOzi4cf\nTmX//krc7j+W9Csr7Sxdms/w4YcIC/uWFSsKeffdduzbdwO33BL6u2CaC7FjRy1TpuSyfn0sLVte\nmmED8PLLFkJDFUyb1hSaeP55QaXs27dhrL4enngW3pjXUM2npMPOvWLSBigsgzXfCaYVwCc74dbO\nEBEIqechqwxubw8ZFXCiRHgRf54Bt8eAr0bANndGwfJSGBcExxxgVIBK5aIMmTiFRDYOvHAQhvZn\n2OYE52lHKPmU4sREPAnkkoYKGxEkUclJoAID/njRHieHUToLwa4EdyR4dQbJCyrToSwNijOgJB9M\n9SLx/41i9+7djXLlb4l/W6a4b9++vPHGG3Tu3PlX933++ecxGo08cvGz5IUD+TvLFM8dA9YS8FeC\nnwS+EvioQVsKumwI9kIOTsRuaE29xkwFyVhoh5YbsFDLGbKI5FacwAHOcBNDOUY2dfjRkxjeJoe5\ndOMhsniJNsylnDfd4Yy31bJF6Uf38xKF0dD9hMTbLWBvEeTWwQedoNUXsKw/NPOCLh9D/mwoN0Gn\nVyH/ZWFOct2T8MQIGN5DPNb3uBdy1oqKr7oWWvaF/WshvoU43X0HYNwkSD/RuNX+8cehtBSWLGl6\niV54wcyuXXZ27fJHpbp0cnS7Ze69N4/MTBtffRXXxEnp94Qsy6Smmli7toi1a4soLq4nKcmHtm29\nf34FBKhRKCQkSShc2mxuMjPNnDnT8MrIsNC/fxDDhzdj6NBQAgL+PZhg27YapkzJZcOGWG644fJq\nnjt32pg0qZYjRwIID298HVJTRZJPSYHQ0Ibx1xfAD3tgy7qGsTtmCveoR+8V24+8IxZW35oFThfE\nzYR1j0PXljBrNXh7wUu3w8PbQauCV/pBh1XwTi/w1sPog5A1CBKSYWUCfGGT8ZFA622lSnaToHFy\nGhsh1BGMhlTyGEZzPuMH7qYdaZxFSwWtaMEZ9hAORBJHLUfQkEI4iWhRoZBT8a06ADVxSHVhYNVB\njRWKi6DCKrq4ztdBiQM2lYH274vT/5bc+adAN5f7JXV1dZhMYja1WCzs2LGDpKSkP+NX/rWiUz+w\nyWCxgqkKaoqh7BSY0kEdCcr24AxDba/AyT5UBONNDCqslHGEMJLQIZNLGvEkAHWcpYgkwjhOAdcR\nQjqVhKFFiZ1qXKglF2okKpUuEjXwTR3c5anqJ0cL6eI6F0xJFFTLGD9BkVuZAs0DoGeMkC8GeGhI\nw6JsXCQM7Ca6ZQH8fEQ1+MJFVf31PaF7V1jwXuPL8K9/wa5d8NNPTS/Rs88a0Okknn328hi6QiHx\n8cfNSUzUMnhwFrW1f7wTVpIk2rXzYe7cVqSk9OHkyT48/XQ8LVsaOHq0hiefTGPs2KOMGnWEESMO\nc/vthxg//ijLlxdgMrno3z+Yd99NoqhoIOvXd2PSpKh/O8lv2lTNlCm5bN4cd8UkX1DgYuLEWlas\n8G2S5GVZ6A3Nnds4yZeXw/97E167aLH8eCrsPw73exqmKmvhs6/gkfFie/NhiAwUSd5qh88Pw7Qb\nxCLsspNwXxc4VgYmB/QOh09zYUo0HLKASoIO+oYmqfVOGyOVWjZh4naM7KaKLhjJphYdLmIIIIM8\nEomikALcWIgmnnKycVJCAHEo0GDjKEpMeDmjQZGIZM8Cc4pQqHSoQBUE2jDwiYOQRGjT42+d5H9r\n/OFEv2HDBqKiojhw4ABDhgzhllsEiHf+/HmGDBGrOMXFxfTq1YuOHTvSo0cPhg4dyqBBg/6cI/8r\nRZf+kJ8F+WlQlC5wehkwdgRlHDgNYDMhOfaikL3R0RoNbiwcR0cwgQRjIg8rZqKJIIsMWhCGN25O\ncJ7rCGEPxfQjgN1UcRvebJHMjFRqWO+yM9EIy8wer85KCNTC9YHCfWpiAqzOBqsT7u8q4BuAmb3h\n3d0icdzRE84UClchgCcmwFurhFkJiES/fY9Y1LsQ816EN94RFfyFMBrhzTdFInL+Yl1VoZD4/HNf\nvviins2bL4/XKxQSH3zQnA4ddNx8cxY1NX+O7EF4uBcDBwYze3Ysn3zSgX37biQ1tS+nT/flzJl+\npKf3IzW1Lxs3dmfevNZMmRJFz57+vypA9ltj3boqpk/PY9u2SxuIXAi7XWb06BpmzdLTt2/TiWXF\nCoHPz5jRePyFV2HMSEhs1TD2r7eEpIXekwffWwvDe0OkZ0nh7a1ikgdYdRS6R0NMoCgGrosUxcFn\nZ0SxUO+ClQUwNVoUExOCYFc9RKnArXJhQiZUIVOAE3/c6FBQQA3dCOYEhXQknDPkosVBDC3I4ww+\naAgmgQqOoMGND22QsePiGGpHPbjiQN1RLAhVJUNVtoBprHZwSILh1vkaRg//RqIfMWIE+fn5WK1W\niouL+fpr0V0THh7OV1+J8i82Npbk5GSSk5NJSUnhqaee+nOO+q8WrzwCLkAXCD4xHpy+DUhBYHd6\nZIsPA1q0rg6oATcZ1FNIEG2RqKGIFGJoDVjJJ4/WNCebfKLwQ4WdXEx0Qs9uqrgdA5swM0KlYYPL\nxii9zLd1YFDJdNCLbsVpMfDxOYjyhm4hsCEHbo6D8jo4XAi3thXc+j1ZQrVw5s0NVX3HBOjQEpZ5\nGqp8vOHhu2Hu2w2n3DIOJowTDI+LY9QoaNZMJPxfRlCQglWrfJk2rZacnMszbBQKiYULo+jaVU/v\n3hnk5l6ai/9XicWLy3nwwXy2b29J166XT/IAjz1mIiREweOPN1WtrKoS8Nj77zfw4wEyMuHLNYI3\nfyEOJgurwOnjxLbFKhL9E57qPvmssAoc2VNM9m99B7P7iffePyKKgnqn8CKe3ArWnYce/gICXF0O\ndwbDMhNM8lTzI5QatkjmnyWJ+xLAHoq4kWYcJo8Q1DQjgFxyiKMFFRRRTwmhRAEKrKSgQ4OejshU\no7AfFYYKriDQtANdHJjPQ0mqwOeLz0LpebC6wXL1qbX/bXGtM/ZqhEYDwbHgHQnaEFD4glsD5iqo\nTgdLKhIGoDsahwrIxkYafnTBCxWVnMCHMILxJ5fTRNEcAzKpnKU7zTlKPj0IoZAavFCgwokEuCQX\nOiSyJReD9IJTf1cwfFEGQ5pBlhnSTaIiW5ouhKju6wwfHhOLdbP7wgKPw9D0QbB2P5TXiu0nJ8Lr\nXzZQJh+cBD8cFIt7F+K5J2H1ekjPaBiTJMG+ee01gSX/Mq67TsMzzxgZM6YGm+3yuKMkSbzzTiRT\npgTQs2c6P/3017uZHQ6ZBx/M57XXSti9O4GOHZsm74tjzZp6tm61s3SpzyU59Q8+KCbSHj0ajz/5\nHDw6qzGXfs4CeOaBBkbO4i3QqyO0ihbbb28Vk7taBd+lg9MNg1rDkfMCAr+5JWw5Bx0CIcYHFp+D\ne2KErk28DoI0Ml/VwRiDzHqXnZFKLVswcztGvqeSnniTRjU+uPFHTwFFtCWGbLLQ4CKKVpznJCqs\nBNMJC6eBQrTo0Lq6g1wG1lOi09ypBVUU+HUEXRgovMBqhbJi+OCilef/4bh2Ba5G9OgHdgmsDjBb\nwFQDleegLBkcNaBJBEU7cHihdGTh4gReJGEgGDuZ1HsaRtzUUEwuLYmlkFz8MBKGF8cooCch7KWE\nAQSwk0qGYmSrZGaEUsMGD3zzuRlGBopuxTq30CJZkgvDW8DRMjhXK9yn1qVBTT1M7gk/Zgm6Zagf\njLoO3t0mTql3R/D3hs0evN1oEN2yL16EywcGCp3zJ55tfDliYoQ8wqRJDY5VF8dDD+mIjlYyc2bt\nFReZJEnin/8MZckS0VS1eHH5v/U1Xc0oK3MwcGAm587ZOHgw8bL6NRfi9GknDzxQy5o1vvj5Nb1t\n16yBI0dEz8LFsXc/HD0OD93fMLb/GJzJhqmjxLbDKfojHr9LbBdWwKbDYnIHTzXfV0zSHxyF6Z1B\nITXANllmOG0SekpflAsq73oL9NFBqcJNPTI+CjfVuAjEjQU31VjoSCDJFNCD5pwihwDUBBNCPulE\nEIYKLTWkYUCPN+2p5xASRWgc3iDdgOQsB1MymPLBWg8KH/CKAGMMBCVAs1aQ1A10V55A/xfiWqK/\nGtGzP+TmQG6G4NMXp0NtAeibg749SGHg1IA1B5zHUMnt0dEMJZXUcoQgOuEFFHOKKOLRIpNBOu1o\nQR7nCcUbI27SqOZGfNlOBUMxsBUzwz3wzSCdzGk71Mgy/XxhXYXAU5fmCXrlxAT46DSEGmFAC1hx\nCgxauOd6gdUDPD4c3v8GTFZx0z8xAV5e2iBZfP8EUdWfTGs49VkPQGoabPum8SW55x6xWPjKLzpp\nQSTwpUt9OHHCyUsv/bo2/c03+7BnTwKvvVbCQw/lY7dfutP2vyWSk+vo1i2dG24wsGlTHL6+V2YP\nFRW5GDKkijfe8KZzZ/Ul3hec+eXLQX9RTnM64R8Pi96Gi9lPF6p5jQfiX7UTWoRDjwtGI5th0k0Q\n5APpJXDoHEzoLib/dWmiGDhbC4dKhb/BklzRCWuX4asqIaS33AQTjbDBaWO4UstWycxQjGynkkEE\nso9ibiCUQ+QRiw8SUMp54oknn3QUWAmjNSZycFGAN81R0xwnB1E5zoPDH1TdQBkMpkwoSxEkh3qH\nOBCnEhR6ce9di2uJ/qrEU7OELY/aAIYQgdP7tQevaKG0Z60Dy1kk23FQdELriEBJHVb2oSMWHwKx\ncpY6KokilvNk4oc/weg4STY9iOY4BXQkkDJMGFBix44XEnbJiS8SR2QXY4ywwgyTg+GzUmjjA811\nsL0EZrYTkgg2l2BTfHhMJPAHbxL6N7VWiA+HAe2F+QSIhTuXCzZ5OmENepFAHn21Ifl7ecHCt+DB\nh6HuInMpSYJPPhF48tGjTS+Z0ahg61Y/Fi+2smyZ9VcvcUKCFwcOtCI31063bukcP35pJ6v/ZDid\nMvPmFTNgQCbz50fw8ssRvypPbDa7GTq0mnvu0TFxYlP2iCzDvfeK1y+lpBZ+CH5+jYXLdv4E2Xkw\n2SN/4HDC85/Cc1PFdnktfPY9PDpMbL/9nZA70GnE5D+gBTQzwgepApvXqkSivzsa1lfADd5gk2SO\n22GITmaNy8ZIpZotmLkNI9upoB9+HKOCYBQY0VJCGW1pQTpn8EFNKM0pIRUjWvxJoob9qKlDRywK\nORLJuRfqi8HlC8qWYGwPkhpKUqDoDBTlQHG+oFqa7GD+e/Ho/0hcS/RXI4ze0CwO/JuDIQw0waDw\nFi2KNYVQfQrqMkDdFVwxqB0WXBwDnPiSiEQ5lZwgnCTU1JPHGRKIp5pSbNhpgTdHyON6QvmJYgYT\n5KnqjWyRzIxXafnCWf8zfHOrn0xmPZypE1X9Z7mQ4Cfw1nXZ0K8FWOxwsBCiAmBgotA3AXhqJLy1\nBertAvp8cTo893FDJ+yMOyG3EL75oeH0Bw2AHt3g5f/X+LKEhwsZ40mTRDPPLyMsTMm2bf48+qiJ\n779vaiz+y/DzU7FxYyyPPRbC4MFZPPvseWy2/47qPjm5jh49zrBrl4kjRxIvq0J5cTidMmPG1NC5\ns5pnnrn0Iu2nn8L58/Dcc43HCwvhxXmw6O0GJz2XCx55BeY/0VDNL/saokKgf1ex/e42wbKKDIKq\nOvjySIMc8QdHRRFQ7xSwzcx28G2JWIBN8oVPSuGeUPjCDHcY4AQuVEjoFW7syGgRC+xm6miFL6co\npAfRJJPpIRWoKOUsMbSiilycFOFHGGoCqecQasDLmQBSDJJ1H1g9tmkEiibEgLag1IuiqrYaSorg\n/TdB1fQp6H8triX6qxG9+gspv3on1NnAUgdVpaICqUwXj5i6TiBHgs2KwnEMmWr0dEeDg1oOYySK\nAIIoJoUgwvHDiwzO0JF48jmPP3qCkDhOBTfhx04quQUD27AwSqlhq8tOB42MTRZ+spOC4dNSYTO4\nswwqbOLGXZQq8NfpnWHREXH4s/rCez+IZN4+BjrHChMKgCHXg94L1nocqdRqmP8kPDavMYXyjVfh\no88EA+TiGD9eyOdersGvTRsVK1f6MW5cDWlpv651I0kSEyYEkpzcmtRUK507n/ld6pd/dlitbp5+\nupBBg7J48MEQduxoSUzMr2veyLLMzJkmYca9yPuSHbZ5efDkk7BsWUPivhAPPwkzp0Gri+SolqwV\nVpAjB4ttuwNe/Axeuk9sm60CmnvcYxu4eK+QxAjzhQMFgoLbrwWszYZOQdDSF5bkiWo+wwrpVhjq\nLxL9/2/vvKOrKrM+/Jzb03svkE5CQgICoRtAilgBEcWCAoNid2YYLMNYZkApMwqKijOCqIjAgPJR\nRFBAUMEAIYRACElICElIbzfl9vP98V4NgYjoZIgw91nrrpVTkrznPevss+9+9/7te1xhjdXI3Sot\nW6RmbsKVHdQyBh++peLHsE0c3tTSSCt1xBFHIcdxwkYACVSTgYoWPEnGQhkyJ1GbbWDrCaoY0B8W\nssRNdSJUo/YHl27gHQUBcRAaB31SxdfK/3Echv5KMGQEFBXC6TwoyoWzJ6E8ByQNeCWBNhZkfzA2\nQctBsDWitfZFiytmspAx4U0sUE8Vp+hGHHWUYcJEFH5kkkd/wjlOGXF4UIEefzToMeKCRIXCQm+F\nis9tZqa4igdxmj98UAUuKhgXIHKgb+4Gpxshu0Y0D/+/U6LAcEAEeDjB9hPicuaMh0WbhIcoSfDy\nDHjxvbYMnFtvAB9PeP+8CszgYNGJ6rHft4V1oE0e4cMP4csvO56+ESM0LFzoyrhxdRQXX17efFCQ\nmo0bI3nhhSCmTCli7Nh89u+/cga/pcXGa69VEB19nIICI1lZ8Tz4oM9lSyLMm9fM4cNm1q3z6LBS\n2GIRGkK//z0kJrY/tuNLOHgYnvtT276mZpj7Gix+rs3Df28zxHeHQfYaxn9+KZp+xwSLVoFvfg1P\npIljS9Jh1nXCCXj7ODzcE+pM8Hk53BUmnIb7/CDPIlNthVStzKcWI3cqNWyliRtxYQc13IAX31NJ\nOFrUKKmggmSiySMXX9xwwYNqThJAKGrcaeIIOhQ4MxArOSjNOcKLl+JAGwfGaqjOgprTIsnBjDD6\nNjUonIST5cBh6K8EtfdOxWqRQe0ETl7gGgA+8SKfXukLJgW01kPD90iyBaQBaMyuSBRj5Dge9EOL\nlRqO4E8cLig4zTFiiaOFOvS0EoUH6RQzjED2UMYYfNhBDTfhymb0TFZpWWMxMMXeODzWSSZaJxo3\nP2AP36iVMCMelp8AbyeYkihypiVJPPBL94jrGRIPfu6w8XuxPTpVZOD80G5QkmDxs6Igp+m8tdTH\nHoZz5UJY63z8/eGjj4R2fUlJx3M4daoTTzzhTFpaHUVFl2fsJUnizju9OHUqgfHjPbjrrv++wdfr\nrSxcWE5kZDbffNPMli1RrF0bSWDg5YcPXnmlmQ8+MLBliydubh0/onPnCi/+T39qv99oFC/TpYvb\nL8AuehfSUqF/stg2GMVC+sszxLbJLBZh59jFzjZnCU++X3fRQH7nafHyz6qGM3q4pTusLYExAULN\nY1UlTPcXTsTdrrDDZiZJoaJZYcWMjIQZF5Q00EIoLpyinP6Ek0kecQRTRx0tVBNBAmVkoaAFXxIw\nUoaVXHT4obb1AVsetB4XesmKbiKZwSkMmiuhOBPKTkPZGSgrgXPlNBdXYKuvv+y5v1ZxGPorgDIi\nAmNgBPiGg0cIOAeKOL1JAc31olK29hBITqDuB2Z3VOZKzOzFif4444yBXEzUE0QstZxCjYZAvMnl\nJMlEU04FapSEoyWdKobiwS5qGYsLW2nmZqWGAzYLfmoZXyXsNYgH870KGOkPlUY4Ui8M/epT0GSG\nJ1Nh+WFR8j75OsgsEcJWkiQMwoJPhXcuSfDy74RX/0O4pl8yDB8Ai88TLFWr4a3X4fdzQH/B+tjw\n4fDEE6ITUkcplwBPP+3CU085k5ZWS2Hh5VfEarUKHnrIj7y8BCZM8OTuu4tISclh/vzyX6Rz/1MY\nDDa2bm1g2rQzRERkk5HRys6dMWzYEEnv3pef2ifLMi+91MQHH7SyZ4/XRfIGP/B//ycqYFevbl8Y\nBbDoNUjoATePa9tXWg5vfgivnPdSWP4Z9ImDfglie/VeiA+F66LE9pLd8Hia+PmNdNFcxF0rFmF/\nlwAqRZvkwbY6iNRBDye5XdjmLpXInf8hbDMaH3ZRxgiC+Z5i4vGhinqsNBFNDKfJxgMt3kRQx1Gc\nUeFJX1pJR0EFWnMASP2RzMWgzxJvK5uLkCT26gUe3cXqcksz1Ndjqyin+V8rkZwd6ZUOQ38F0Iwc\niclos8foTdBshPo6qMiH8ixoqQBNiGgvaHYGQxmS5VuUciROhAGlNJGNH33QYKKMo0SQgJkGKign\nnlCOkk8/wsnhHIl4UUQ9Yeiox4AXCo5LBsbaG5Lc6wqr9CINbl8jVJnhoQh4+7SolB0aBGvzINYH\nUkNEtoVWLbz6BTvENd3SVyw37M4W2yOugyAfWLOz7brnz4Y3PoBz58kgDB0MNwyH587rePQDc+aA\nlxdcqoD6iSecmT3bhbS0WgoKfpk+vUajYOZMXwoKerJ0aSilpSaGDTtFcnIOzz9fytq1tWRnt14y\nPVOWZaqqzOzb18S771YzefJpAgOPsWBBBb16OZGREc8nn0SQlPTL9FVkWWbu3GbWrzdc0sifPg0z\nZsC6deDr2/5YXj68vgyWLG6/f+4/4HeToZu9QVWLAV79CF6aLrZtNlj4WZs3n14EBdVwR29RHb0i\nEx7vL17+n+QLZ+BQnXAOxgSIsM00f/jWCE4ShKlt7LOauVWpZhN6bsKFL6lhOJ4coIJYXDBgpo5a\nkogil5OEEogJA3rOEEwCTZzBzBlc8EFLPGZ2ozbrwRIAmgFgrhWyB40VwuDLzuASCl6R4BcNwTGY\nQmNQDxqEdOECxv8gDkN/BVANHozpVAFyfr6I0xfnwplj0FIPruHgkQSaKDCpoLkYyXAQpHB0lgSU\nNNDKN7jSE3e8qSEDd4LwwpUiThBDLEbqqaGBOHw4SDFpBLObc4zCh53UMAE3/o2eO1Va1lqN3O8G\nn7aATZIZ7wOrq0RV4/pSaDDDzASRUw/wVCos+d4uljUMth6HwmqRcTP7Nphvj8NLErw0A15e2ebV\ndwuBaZNE3vb5/GMBfLYZvtrdfr9CAatWieKfTZt+ej4ffdSZZ591YfjwOvLyfpmxB1AqJYYNc2PZ\nsnBKSpJ4880wFAqJtWvrmDjxNB4eR+nZ8wRDhuQydGgu1wjmds4AABtgSURBVF9/irS0UwwcmIuv\nbxaxsSeYM6eU/fubGDXKnVOnEti7N5annvInPPyXGxVZlpkzp4nNm43s3u1NQEDHRt5ggEmTRNeu\nAQPaH7NYYOrvREORbuFt+4+dhK27habND7zzKQxMhN523ZvNh0RTkRH2WP0rX8DsG0CjglVHYXh3\noWvzSZ4QLwtxFU7BwxFQY4Y9DXCnL7zXCNPcYJPVxA1KNbmSCR0KLJjwRk05emLw4BQV9COMo+SR\nQDjFnEHCQAQ9KSEDHTZ86EMjh1BQgzM9UMjuSJYDohLW6gPOA0BWQE2OkD2oLROryVaV+KDBpHBC\nM9IRowfoHEUmB5fk1PjxeGk0WLVKVE4SOClENYqvF+icAEl4+3IeOJ0C93iwdUdtkWlVf2tXswzH\nRBUN5BLC3bRSRgM1DCCNbE6QRBSN1NCMiUiceJMaptKDFZTyEWGMoY4XFb6csVnRSzZG6hR80gQP\n+MEjp+H3wcI7+6AYHomAWXshs1pkWUgS7CqEkZEwczAs2glv3Q33Xg/zNsCebEhLhLQ+QhBr5Vb4\nnT0P+7lHIGE0pB9tiw97ecG/3oJpD0NWOnic1yPbxwfWroXbboNevSAiouM5ffhhZ9RqiaFD6/jk\nEw/S0n6d16ZUSgwd6srQoW1qkQaDjVOnDDQ22pBlIY8sy6BWS8TEaPHzU/0qnfmOMBplZs1qJCvL\nwq5dXvj4/LTv9dRTEBUliqMuZNFrIib/6ENt+2QZnvwr/Pkx8HAX+5paYNHHsN2uNWSzwQufwIuT\nxX3OLoP9hbD6QSFXvDQdVtwqzl1+HF7uLxZhN5ZB7ij4qBpu8wZZkvmsBRb4wH1mI0+onNhAA3fg\nxpf2sM1uzpFGMN+SxW0ksJ7DQAsRRFJMDrHE0YobjWTjRRgthGLgO5wZiMrWD+TPofUAGPoIjRun\nRPCoAEMlVOZDnRaaXaEGqJcw1SpoPnIEbU0NKh+fTrlfVysOj/4K4DpwIJZu3TD5hoJ3KLgHg1Mg\n2HSidLuxQngmzQUizZJIMEkoTJnI6HEmBTWtNHAAb3rhjJISMuhGPBIGSjhLPGE/hm+OUUpvfCig\njjB0FNFCCjq+klqYoNKy3mpkuju8p4eh7kL36XAzPBIJb50WmRUz4uHtbPtCbH943b7w+tQI+OQw\nlDcIHZQX7oQ/f9yWSbPoUXjhPdDbF2G9PGDRs/Dwn9unW44ZBePGwJOzL56vAQOE13rLLXCpdbTp\n051YvdqdyZMbePfdziuQ0ukU9OrlzJAh4gVw/fVupKW5MXiwK/7+6k4z8ufOWUlLq6OxUWbPnksb\n+X/+E3btEkVmF/77o1nwjzdg5fL2si6rN4l+AbPuadu3cDWMvA6SY8T2hgPCc7/NXmz16hdC7sBZ\nA5/nibj84DAhR1zZCqPDRIHUTYHgpxWFdw/6wydNMNIJDJKNkzYrQ5UqttqLpL6klsG4c4gqEnCj\ngiaM6EmgO7mcIJYYKjmLmWpC6U0NR1HQgDs9ABkrh9CYNcB1SAofaDwgZA8sGlD5gVsc+CaCk7eQ\n7tTrsdY3Yq6ro377dpSenp1yv65mHIb+CuA2ciQGsxlTs9meR28S3ZkrzkJpNlSdBHMruPcHKQSM\nJmg9CbaTaGxD0CBh5ggg40M0enKQUBJEAGfIIYpoZJoopZoUAvmWQtIIZhdljLaHbybixgb03KnU\nstZiZLROptQC2WaZB/zFAzvUB5QS7KmGh3oK+eIaA9yTJIqn8mshwB2m9BP6JwBThkJtE3xxRGz3\njYcb+sKrH7Zd/z23Cd36ZR+2n5dF8+Gb72BTBw3LHnsMRoyAiRPBdIlaqZEjtXzzjRevvdbC4483\nYjZfHc1rDh40079/LTfeqGHdOg9cXX/6Ufz8c5Fls3UruLu3P2Y0wn0zYPF8CA9r21/XALNfgXf+\n1tbwu6QSlm2AV+xhHKsV/rIG/nq3eHmcrhYptLOGieOvfy8W5CUJlmaJlEpJgrcLYVYkZDRDsxWG\n2Z2G6W6wzmrkdpWWr6UWeqGlnBZ8UVNKI4l4kU2Z3RkpIIFwCilEi5VQoiklEzc0eBCHnoNoseJM\nf2wUojTlgMkFFD1BGwn1R0Tv5ZYmoSOl8gKvCPCLgsBoTCFRWKOjcb3+eqQLV6z/B3EY+iuAFBZG\nS14extw8EacvzIP8LKgpAbUreMWDRyLgA6160GeJzAJpCFqzOzInMXMGT/qiooVqMgglGdBTSj6x\nxJDLSeLpRiuNtGAiDA051JNqb/IwHCcyMNBdAVZksrEx1Q1W6kXx1NpqMNjEouzyQghwhvER4uu6\nsxqm94ZlB8X1/PEG+Nd3oqGPUim+9r+wts2rn/cQvPOZMCwgjMOyl+Bvy9ovzLq6Ci901pNQU3PB\nnEmiatbNDWbObJ97fyExMSoOHPCmoMDK2LH1l2xJ2NXIsswHH7QyblwdS5e68Ze/uHaoRPkDGRmi\ncnjjRoiJufj4y/Mhsjvcf0/7/c8vhvGj28JlAM8vF71gw+wNSdZ8IyKIo1PE9uKdMHOIqJk4UQXZ\nVXBnApxrhk1F4uW/uwp0ChjkDe9XwlR/OGEWTsMoncw6i5HJSi0b0TMBN3ZSyyh8+NoetvmOQvoS\nwmnKUGMmnG4Uc5IQwjGip4UifOmJiSosnESLE2p5CFi+B0OxWMdSxoJbCjQUQsUxqDwNtdUiPUzW\ngk2JyabGqFbj5ojRAw5Df0XInDULm5cXVk9PLC6e4OwB3uEQmCg64ah8RRinsRJq0sHaJNIsrSEo\nTcVYOGRPs3SlkQO40R0P3CjnGCFEocbMGYpIIJwsChhIdzI4S198yaOOGJw5TCM34MIWqZk7lUIS\n4UE3+EgPQVqZfq6wvgbuC4PtFVBpgCd7wbJsIfs9q6/oKtRoFM0nxsTDu3blyjsGii8q2+yaNWEB\n8NDtMPe8ZuDx0TB9kvAyz2foYLhrEjz69MXGXKkUKYTHj8Nf/3rpOfbwULB5sydDhqhJTq7hww9b\nf3OtKc+dszJxYgOvvNLM7t3ejB9/6YrNM2dE+Oqdd2DQoIuPpx+E91bB8jfah3MOHoVPd8C8P7bt\ny8iFHeltevMWK7y0Dl6+S/xupV7IHTxp7zG7NF1IVmtV8FY23B0N3jrhBDwcIdRPP64Wazwr9TDV\nDXKw0YRMrEIiHQMjcWYHNQzDg0xqiMKJGpqx0Uw0IeSTSw/iKOIEaoyE0JsqvkeDCU8GYCQLOIPO\nHADKVCRDBjSdEjn0yhDw6i1CoC31UJIDp49D6VkoKcFcdJaW4mLyPv4YY1XVf3bjrgEchv4K4Dti\nBLagIMxBQZi8gsAzGNyDQOEq3Gh9I9QVQ8VBUHmCrq/ILDDWIVl2o5L7oMMfmSJaKcKXXpgoo5Fz\nRBBLIcfpRnfUmCmglL6E8h1FDCOIrznHzfiyhSrG48qn6LlXpWOdxUiYCnpoYGsLPBIIb5WDpwbG\nB4nS9mRf6OEJ6wsg3EM0JlluN+Z/GiW06o1mERd+4c72Xv2ce+HzA3D0PMmDuY/DvoOw50D7+fnb\nC5B9At57/+K5c3GBzZth5UpR6n8plEqJl15yZft2LxYvbuGWW+opLe16716WZVataiU5uYaEBBVH\njviQmHjpPIj6ehg3DmbPFuGrC2logHumwRv/aN8y0GqFWXNhwRyxPiL+P/zxDXhhGrjZJXM+3CPa\nBA63Z9q8sUfUSgS4Q2UzrDsudG1aLaKA7qlkKDfAzkq4Jxw+qRYCZkFamY+a4EE3+NBiYIpSyzap\nmeE4k0kjkThRRD3JeJNJCQPpThYFJNKdfPJwQsKfMCo4jg8+6PClicO44o2OFCx8g8pUAdZo0CSD\n4TTUZUFTIyi8RA69T0/wjwONCzQ2YtW3YDYYMBmNNBcVobkwD/V/EIehvwL4jhxJa0sLBoMBU5NR\n6NLrW6CyHEpOQckxqC8Cjzhw6glWF2itQWreA1IsOkskSqpp5Rs8GYgOG1UcIIgk1Jh/FDkr4BSR\nBNNMAzZkAlCRQz39cOUQjSSiphQLssJKkkLFFquJB91ghR7GecE5Exxugoci4Z+FIuvi6WR47agw\nFs8MhtcOiAShlDBIDIbV9nDOhAGiVmWzfdvDVSgizj5Pn97FGV77Mzz6QvuiKGdn2PAxPPsCHMm8\neP4CA0V8evZs+PTTi49fSJ8+ag4e9KZvXzUpKTW8805Ll8XuCwosjBtXz+uvt/DFF1787W+u6HSX\nXsxtbhZZR6NGiUybC5FleGAmjLkBJk1of2z5x6I14H3j2/Zt/Q7Ka2HGLWLbbIG//lt48wBNBnhn\nnwjJgUinvbMnBLnBh7mQ6i9E71aegTtCwF0Fy8qFc7C1BeLUEKqCtRYj96l0fIqe8bixhSpuxo+v\nOccw+9pRf8LJ4QwuQDAhFHOCKHpSTT5WqvCjD80cR6IcJ8JQytFI5l1gbAFbGDj3BUszVKSDvlK0\nDbRpQesLvpEQFIUpJBJzRARERuI7YkSnLZ5fzfxqQz979mzi4+NJTk5mwoQJNDQ0dHje9u3b6dGj\nBzExMSxYsKDDc6516quqaMzLoyUvD1NuHnJBHuRmi3Jtqw08wsEzCXTdwSiJjILGdFD4AcmoTE3C\nsyEQN8JoJhMlWvwIpoJsgohAB+STRzKRZJDLILpzmGL64UcG1QyxC53davfq71fpWGUxMMkF9hmg\nyirzcCC8XS5awrmoRDx2XDdoNMG35dArAK4LgpV2Y/zsGJFzbbEKr/7FyfDieV79zNvgTAV8cZ4H\nP34MdAuGhe+2n6O4WHjzH3DHPcJbvZCEBNi2DWbNgg0bLj5+IRqNxIsvuvLll15s2GAkJqaa5ctb\nLtm1qjM5ccLCffc1kJpay7BhGtLTvend++dlEPR6GDtWpFH+/e8dn/P3JVB2Dv5+QZORc5XwwhJ4\n6+W2UI7FAn9aBgsfbVuUfX83RAXAUHtV7Dv7YHgsRPsLzfnlh+FPg8R9fD1LvOxtMrxbKNZw0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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Newton" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Initialize the method\n", "\n", "iterates = [np.array([2, 2./5])]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "# Evaluate this cell many times in-place\n", "\n", "x = iterates[-1]\n", "s = la.solve(ddf(x), -df(x))\n", "next_iterate = x + s\n", "print f(next_iterate)\n", "\n", "iterates.append(next_iterate)\n", "\n", "# plot function and iterates\n", "pt.axis(\"equal\")\n", "pt.contour(xmesh, ymesh, fmesh, 50)\n", "it_array = np.array(iterates)\n", "pt.plot(it_array.T[0], it_array.T[1], \"x-\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.0\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Hq33Qq2i9gtbraL0OegtIo9QwqCEhIDUIahBUN1q1SFsT0iRUeUIOCdkn5ADN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\n9hIfGxNv/uGH4cgRtq5d48r3v4964QWajx+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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conjugate gradients" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Initialize the method\n", "\n", "x0 = np.array([2, 2./5])\n", "#x0 = np.array([2, 1])\n", "\n", "iterates = [x0]\n", "gradients = [df(x0)]\n", "directions = [-df(x0)]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 174 }, { "cell_type": "code", "collapsed": false, "input": [ "# Evaluate this cell many times in-place\n", "\n", "x = iterates[-1]\n", "s = directions[-1]\n", "\n", "def f1d(alpha):\n", " return f(x + alpha*s)\n", "\n", "alpha_opt = sopt.golden(f1d)\n", "next_x = x + alpha_opt*s\n", "\n", "g = df(next_x)\n", "last_g = gradients[-1]\n", "gradients.append(g)\n", "\n", "beta = np.dot(g, g)/np.dot(last_g, last_g)\n", "directions.append(-g + beta*directions[-1])\n", "\n", "print f(next_x)\n", "\n", "iterates.append(next_x)\n", "\n", "# plot function and iterates\n", "pt.axis(\"equal\")\n", "pt.contour(xmesh, ymesh, fmesh, 50)\n", "it_array = np.array(iterates)\n", "pt.plot(it_array.T[0], it_array.T[1], \"x-\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.605928022992\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 183, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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lEn//+04xevRGUVZ2YzVcVSqVmDlznXj55fhbPLuO4Ykndojly1PVzpeV1Qkz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