{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Locality Preserving Projections in Python\n", "\n", "lpproj is a Python implementation of Locality Preserving Projections, built to be compatible with scikit-learn. It can be installed with pip; e.g.\n", "\n", "\n", "pip install lpproj\n", "\n", "\n", "For more information, see http://github.com/jakevdp/lpproj\n", "\n", "This notebook contains a very short example showing the use of the code." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Data\n", "\n", "We'll use scikit-learn and create some data consisting of blobs in 300 dimensions:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(1000, n_features=300, centers=4,\n", " cluster_std=8, random_state=42)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random Projections\n", "\n", "If we select a few random two-dimensional projections, we can see that the clusters overlap significantly along any particular \"line-of-sight\" into the high-dimensional data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nh573T4FzvgN/HANWKmfk4sWL6ZsjBwONRgY6ONDbw4PXr1+35wss6M39a0Hf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QisCrAbwNJyBZVFAqkNrsLWHTpy7dq1WcaizJ8/n6JCQS3AogCLA1QJAletWkWjKLIIQG+A\nRoWCcrmc2H7Nasg3XyRkOpuBfDIFU/yljQrkh9TUVJ4/f57Xrl171ao8E8nZevFYLBb+/PPPHDx4\nCGfPnp3j0ez8kpSUREGQZXh/RLEiv/32W7Zr14lKZZjtWiTV6rLUaPQUBAMBJQVBw3nz5jE6OpoW\ni4Umk4mlgvxYpoyK+DDyqbO1eDflRke2b9+BO3bsYFBQOZvc3pTLa9PDw4fffPMN1WoHAh1o3SfQ\njT/8sDCTvh9+2I9abSkCTQmNnpDLCbWWUBYh0IhKpS7TKuZt27bx/fffp1ptpEIRRpnclxrRnv0H\nDaZC1Fk3rFZq001LWrPeC4KCX331VZZTqpOmTqPo7klodcSqf56uaCxfle6+fi/s+5LIPZKz9Qo5\nduwYu3btybZtO752P8r79+/nggUL+Oeffz63bEpKCnfv3s21a9dSq1SyMUAlVFQgiIAjixVR0NlJ\nk7ZjfXrKBAbS3hZbJQeoAmxTg+VYtWr1TFOPR44coZMosg5AQEVgBIGWBNQEtJTLNVSFVCU++47K\nkKo06vVUGxyoaN6Z2B9LrDtNJy+fLO8jNTWVolrN0gDDkXG7npAyZejv68syAFsDDJDLqYTwdC+y\nPTGEoOLTZeujqNO5Z0p78boRExPD4FKl6CSKNGg0bNOixWsbWC85W282np6+BFqlxT+Jogv37NnD\nMmUqEuiczgFpanv3mxIYSqA+BUFJVxcN69Suwl9//ZVhFe14ZBsoOmqJUbOJr1ZT7VOEaq2eBkMQ\ntVoXyuUZO0c6XSHKlXoC76Zrqw3Dwmpm0tXPL5BAN0LjREz60ergLPjDms7BxZeQGahWG9m//8BM\ndX/55ReqdDqiYRti1CwKJUMIldoqI6Q2oSpP6z6PdQjYEShFQEm5XMmJE5+OmN26dYtqoz2x7Qqh\nUBIH4586lu90YdVq1RhevxFbdeycIUzh8uXLnDZtGr/66qtsO1gmk4lff/01hw4dxg0bNuT4O/zn\nn3+4YsUKHj16NMd13hYkZ6uAiI6O5vbt23n16tUclT927Bh1OnsKQm0CjSiKjly7du0L1jJnTJ44\nkU6iyAo6Hd10Og4aMCDbsnFxcawUHEwvvZ5+ej2VAF0USmqVanrKFXQUBFYIKZnBmUxISODcuXP5\n+eefc968eRTlcroCrAhQhIIy1CTQhC1atM2yzeFDhtCgVtsM0dN9zVQqV2vcwpEUq8E5lEilowsV\njds+NUIrDtC9iH+Wch89ekS1QsFAgC3TOVsdAHq7uNDetopxLMDRADWCQIRUJ1YcsE4lylQU4ECg\nBgFPKhUiQ0KqcPDgodlOJ27cuJGNatdmw1q1uHHjxlx8SwVDu5YtWUWl4hhYc6kVE0V+PWPGS9cj\nJ0jO1ptNVFQU7e1daDD4UK3WMzLyM5Jkly49qFZXtIUmjKJM5kXAJUPogF5nx0NbwfffU/Pddxoz\nPNSOvGFd7dygkY5yo5EOTm58ugpxQLrO2lgCoynoHYjASrTum/hEdjOGh9fktGnT6BNQklqjPSvV\nrM2QkMoEahIOhTKuLqxYg/hsPqERCTShKFoXvpw9e5bVqgbTyUnHYkXdqQypSji7E0EhhNHJOjI1\ndh5x4BFR8z1C0BLwo3U/x+I2x8uegIJarZGBgWX53Xff0VA8yNpujcZEmw+IvQ+IRX9SbmekJrAs\nMfNXyvqNo9HVjb369KF/UGnb1Gc5yuXBNBqdef78+QzfQ1JS0v+xd95RUlRbF/9VdVV3V3WYHJhh\nGIacs2QQBBRBRBFFARUVJIkJFEUFzIgiZhFRATGnz4iKIAqoKAKiggFBAREkx2FS7++PamaYp773\nVPT5fOy1eq0JdW/dqlt1+txz99lHDRseJcepK+go183QLbdM/Ml87d27V5MmTdKokSP16quvauz1\nN8itUFGR406Rm56pO++59095bv5bcMTZOgy4774pcpyoEhJqyHGimjFjxr9sM3DgYBnGMeVWUI0b\nt/wTRvvP8cUXX8hvmro07lSMBiU5zi9yu6656io1CgY1FjQAZIEamj5V9wdkBxyZbqjcdt0tt0yU\n3zBUEdQalOI4uuG669SmTVv5fOG4oesv103Rq6++Wtru9ddfV4vOx6pRu6M18rLLNGnSJCUnZ8g0\nOwkukmkep5SUTIVr1PVWiPFwuluxsqKpafINHC3G3i83J0/3T3ng5y5FklS/Vi1Vj2cvXha//oqg\nurVqKeUfnC3HMBRKSJQTTlCWG1YbkOv3K9FnqQKGTNIFPWXbTVS9eh3t379fhYWFpZk/r7/+upIc\nRyfHyfpJjvOrVpGHA7Xy8srx5bqDzu7b908dw7+LI87W3x979+7V0qVLy0VcduzYoUaNjpLrpioY\nTFQ4fJA6cNBRGq1AwNb6JeiNx9HR7Rqpdq1cXTrY1vTJqPVRfnU97mgFAu4hkefxMoxM2XauoJsc\np4584QRPANRyBMmCVJmmLb/fFcGQmPSUWLhFvguuVU6NWnLdqLCDYs63nr15f4dIqyCmzRGBsCCo\nSKS+JkyYoEjEp6svRj8sR4/cgRzHEANGiaQsj6dlBkRSqogmCn9Ahs+JR/kqqIz/epnAFAwW9JHj\nJCickuplNy/aJpq0E7ZfqZUqywoExTubvHG9/b0IJ4gWHUUoVRjHHnIPjlGPHr3UqUdPZVWvqWNP\n6qVp06YpHK56SNTvYtl2oFw2+P79+9Wwdm3VDwZ1DCg5GJSdkCTe3eyd8821CkQTSrm2R/Db7NcR\nUdND8P3333PppZeRnz+AXbv6kp/fn8GDh7Nt2zYANm7cyIwZM3jyySfZt29fabuCgkIk/yE9BUqF\nN/9TKCws5LjjTsAfK6uC6ABpfj+bNm362TZfrVxJ7oEDmHjlYnsAJ8dK6FdYQN2SYoyYWLFiBWvW\nrOH111/nmmtuJEEW5wLHAn3z87nxhhu48847GD/+CqpWXU+tWp8ybdrddOvWDYBp06Zxwsm9WawQ\ny48bwKSZTzLm6tsoLi6mXr3dJCU9QbNm+3j33bmk+cC640r45APsWy4mNz2VZYs/YLBbQJ91H/HY\nXbczZPD5v3gPXnnjDaL16/MDMAm4FajRvj0dO3akGHgN+Bp4AfBZFp8uW0qLBnUpsExiTZqQnpJC\nr5JiNmMQ41ygMUVFPdi4MZ/mjRrhBINEQyEeeugh7rn9do7Oz6ch0BDokJ/PPZMm/d5p/FWoUbMm\nX8cLVJcA3waD1KpX708dwxEcwUGEQiEaN25cWp4LIDExkSVL3mfp0oV06dKRoqIKQFXgIeBNfOYD\nnHd6jOwK8No8mxo16zH/nQ9Z9lVLzrnUz/tLArz+xgdIPkzzHbwn/UOk7dSsGaVVq7306FGfVq1b\nYTx2D/gSgBOAzsRiJoWFdaFmM+h6GiSlUjLkGrZs28b8+W9xau9e+E5rCheeDL0awlEdYNLVEGsM\nGBQVfcuEyXdi2j6uuwwy02HAaVA1V/D4FNhZBYJhqNUQCgqgRkNS09Jp16YV8CIQgNKvXAevWl4i\nUJuSkjqc0/cMUiZcgN2lEonff838OW/y47dr8FkWeE49PP8wHH862AFIywKVlRGSUnjzrXnMr9yU\njbc9x7z0Wlw5bjxSAmXishFisRhFRUWl7V566SUOrF9PrwMHaA90PHCAorQsT5AVILsy/rTMX/ze\nOIJ/E7/WOzvcH/5Cq8KFCxcqIaFquZB2JFJRy5Yt0yeffKJoNEWhUGOFw7WVl1dD27dvlyTNnz9f\njpMYX72cKdfN0j3/4bDrkiVL5DipsjDUKx7F6Q9KCIV+Uh7jIG64/nqFzKAsfDKwdcwhUZJOcXJ5\niuMoyXFUIy9PUEM1sUuP6R2PhuVEIoo4jibecotmzZqlxYsXS5LefvttmWbA25ozW4tQsrjxERGp\nJtdJld9GtoX8tjfOG2+8UV17niwnLUNWNFF59Rpo5syZ2rVrl26aeKvqtWqj1sd21aJFi0qvoaSk\nRPn5+aW/j73qKlVyHPWLR3oSQyHNmjVL0WBQNeIE+WTL0qU/s73aoGZNnQIyMXWozEbACKqxYWgU\naDgo2XXVpkUL9Tzkfp0E6t6ly2Ge1X+OdevWqXJ2tqpEo6oQCqlD69bl7sVfCRyJbP3PIxxOFFwa\nj7qcKsOopJSUBNWrHVaTBhHVr1dFP/74o7Zv365AICRIF7SWly3YVYYREAFX1Kgv+l8kktNl+lMU\nCtVXWloF+QMJgrMOsefHC2qKjDyxrMCL2sz/QbYb0p49eyR5PKXhw4fLcMIiXEVYnePblbbOOfc8\n+QJB+UN+bfkUaSMq+BYlJiCsmsIfFi+v8vqd8623/eiE5CUZ9YpH8HrIE1NtIsguHZtt19HgwYNV\nVFSknTt3ltPKGnHpKLmNW4m7XvC2NgddKeo2ky8tK75FWVde9mRYRjRZXDbJu774boDrRuPfTRfJ\n72+udu3Kiz9PmzZNzUKhUtt1MXgJAgcFre95SQkZmdqxY4d27979pz4jf1X8Fvt1xFAdgk2bNslx\nooLz4y/BeQqFErRz5061aeNxjw6+HH5/U40ZU1aD8LXXXlOzZm1VuXJ1paVVVFpatgYMGPizau6/\nB/PmzVOtpkcpvXIVnTVosPbt2/ezx33yySfxumEdZRORgSELNG7cuF/su1evPjLNuvEQ90AZBNQ3\n7lAEQY0MQ2NBV4Nq2LYsMyoLo/QYP2hw/IUdjKca3yAUUqrr6qorrlCNGvVVJkY4XhgdROvjZUQy\ndfLxpgq/Qz+uQGlJKCmKsjKQLxwWPc/2jNcdz8kIOgpYlgK51byMn5tmyE1J1YoVK3TXnXfKb1ky\nDUN1q1fX5s2blZmSor6gkfFxtfH5dO211+qFF15QverVVSU7W6NHjfpJSvyWLVuUmpSkACgRWwY1\nBOcI2gpsWfjlw6em+NTasjRw4EAlOo564gmvJjqO3njjjcM59f8W9u3bpwULFujDDz/8y5LjpSPO\n1hFI6ekV5ZHHPXsQDDbUHXfcoUWLFundd98tXSisWLFCoVCGIKxDSfA+X7ZIzhTLCz2nYO564bMF\nV8my2ig1taLKeF3jBR0E1UWwoajRRJx9qUirIDsc1TPPlK+MMXXqg7JtxztnMOpViUhOF/6A7C4n\nqFK1kMZcZKhRPVQ5N1MQERlVy3O+ajcW1ZvEnawagjMEWQK/DGyBI+gkjzQfkuvmqmPH437y3paU\nlGjipNvV7vgT1OWEHvL7A0r3WcrGkkGGoJugmnCSxJi7RLvjRYce4qO9ctIy9Mwzz6hWrYZKSspQ\njx69SoMEB7FmzRpFgkH1Bo0ANQkE1KJJE0VS0+SPJig5K1uDBp6jYNCS41jqdEzL310J4L8dR5yt\nw4BnnnlWjhNRJFJBoVBCKdfIy1gZdMiL201nnnlOubaffPKJXDdR0FdwgYLBeurb96zDNrZVq1bJ\nTUn1Vjivfqngcb11Sr8zyx2zfft2LVmyROvWrRMYh3AErpJpNtCUKVPKHZ+fn6+lS5fq5ZdfjqvS\nX3LINbaREXeaXNPUgH+I3ARAQXzyY8rEK8cz/pBPJl7x5FZ42YleluHZh/TfXViugkG/Fr+KtBGd\n0we1bIry13irRkyzbBX6uWR0OkltQVbAEe9t9zgMA0aqX7/+ChiGQtiy8CkBW5WysmQGHRlOSIQi\nqgNq7vPphhtuKL3+kpISjbr4YkVdV9FQSGNGe4VgJ06cqMa2rTPjfLQkfN4qMiFL0Dxu9K+QTaoy\n/X7NnDlTb775pk7s2lU9jjtOb7755i/O4759+3TTjTfq3LPO0pQpU3T75DvUZ8C5uu6GGw+7c/5X\nxRFn638DBw4c+EVtr1mzZsl1k2UYHRQINFZOTpWfFf3ctWuXXDcijwR/ULfqGplmoqjVpHzh56Aj\nv11HPl911a/fRJYVkscd7SjHiSgaTZbjJAt/ULQ5Vkx5TTy9RE5yqj777DNt3bpVAwYMVPPm7ZRX\nvbao1VCEIiIxRWYoKsJRGeGoDMv2xEwNV7nVaqpq1ZpelG3GO6XJOxgBQcP44r2LIBpfsDvySP19\nBJa8BIFkQZJ8vkQ99thjv3g/d+7cKb9p6iKQD0twpQ6K1uJWFDMXeM5nRraM6vXU64x+/1RR/pVX\nXlFOrbryRRPlxBfVuZmZ2rlzp0pKSrRlyxY999xzqlnN1cZlqHg9Gnq2X6f36fHrH4a/Ef5jzhbe\nhvtmYMUhf0vCo/58CbwBJPxC2z/0pvwW7N69WytXriwNLUvS+ecPVTDYQHCVYKRct6IefbR8NfoJ\nEybI52t1iDMxUoFA6LCNa/LkyQqcMazMuCzapkAoXPr/F198Ua4bVTSaG3cYk+OrKY94GgplaN68\neaXHf/jhh4qmpcswA/EXPqBDw+4W1XR8fLUT8fvVxrI0Dk9U9OAWnF1K+rxMFj4Niztaw+JOWnVQ\nBuhS0NEYMkiJG58BwowIy5aBpWsu9pytSIKpu2/wft7wMV4a9OvflBnTWo3VBRT2B0V6lmcIbb9S\n0jNkYsfHf5lMGopASGa748Xs1eL+V4UTkhsIlNO4mThhgvJcV5fEw+c5jqMTjj9eWWlp8sUdykzQ\nCSCjUjWRUkkw/JA57qIKGVmlpYD+FQoLC9WyaVM1CAbVDeS6YVmNW4lxDyh4bC81P7rjnyY8+Z/E\nX8nZ+j32S39RG/afxt69e9X1pF7y+f2yAgFdftXVP/ul/84772j06Cs0ceLEfyoaPHv2bFmWE7dT\nnWUYuZ69Croeqfz9HWLw1cKJKjfb0mk9vai40aiVaNhOvoxK6nBcVx04cEArV66ULxCXZ/i0RPS7\nWBiWDMOnaDRVfn9LQT8ZRh3hJnuSMEPHikicdD99vszsyp7DFk0SOVWEE5IddGU6rsykNM8Rw9ah\ngtCQJdsOxJ3GK73Fuz8o7FDcCRsmaKBq1Wpry5YtevjhhzVt2rRySUmbN2+W3zB0McjCX77/cHXx\n4Juercyqomg0SUOHXqAhQ4br8ccf19y5c8tFpObMmSMnLVPc/rS45yXZKRnqCcoKh7VgwYLS4y6/\n7FLdeIVnk7URrcd1K/4AACAASURBVH4P5VZKleSVCLrrrrs0efLkUiHZ/wX8J52ttkCjfzBWtwCX\nx38eDUz4hbZ/5D05bNi3b5969Ogln8+WbQd05ZU/NR633XZbPFx88OUaJPDr66+/1pQpU3TzzTf/\nLq2mBx98UG6nnmXO1gsr5CYm6tJLRmj8uHFynIjKwvLD5fe7CocTlZBQTY6TWE4npqSkRKkVc0TV\nRsLoLKgkyImHvJvLy5wxlQxqYppq37KlQoGgEi1b4aArv2GoFcikRblIlQVKjTspR8cdrSzQBXHe\nWCNMYToiJVekVhBWfUFLWYaptk0RBmrTzlHBt2jVO8ixTdnJ6WLoWFktO8lyPMX5YMhSdiW/Tj4l\npGiqIzN4cBVZJh+BPyDm/1B2v/oOV9u2bUvvwTfffKNa1aqpY9yBHAuqAEoHGU5IpmUr3Q2pOSgC\nskIR4aaoLJ18rCyrmm6//fZ/ew7nzZunSuGwxsa3Nn1Bt0xTZ0WxwtVq67333vvNz8h/C/5iztZv\ntl/6L7JhfybOGTJMwW59xLID4p1Ncms10KOPzvpdfe7evVujRo2SZQUFNeXJsviEE/HU3J2agovl\nBLOUnoqsihXFimLv3Vqar2ByqkaMGKxjOjRRJGKJ+1/zyv8EK8ujTvQTpKhsq/IaYUW8xV6V2mLM\n3WW25KG3REKyGD3Z+/3G6V6W4PGne9mI1IlHra4otRV+fwXZCYmidTfhTxVuRJx4lgg1OMRuXSOf\nz1ZiRqZ8x5wos1NPucllkg6xWEwhf0D1MJSCLYPG8jIaO3nbnTPeEeddKZwE+XxB7x4FKovEFIWa\ntFI0PaP0O+jkfmeKcVPKrunuF5UVTlC9aLScdNGdd96pE7o4KtngOVsz70KtW9XX2rVrlZ6UpKbB\noJoHAkqORPTZZ5/9rjn+b8FvsV/Wr+DS/yIkLTQMI/cf/twTODr+8wxgPnDF4TjffwKu6/LSS89R\nVFSEz+fDNH+ayNm2bVsM4yqk54EUYAnBYCKdOnVl69YghYWJXHfdLcyYMZVTTz31V4+hT58+3HT7\nHWy8oj8FVeoQnHkrqeH9pDt3s/wTPz6zBIhnkJCG41Rk5sxbSUxMJCMjg5o1a5b2tX37dvbs2QMF\nFigPyAeiGBQDSxAOUJedrGVZLJ/rTziB9z/7nH2PvA22H+u+a9n09kuYrCBGSyAB2E4xBhURnYAI\nUBt4GB8PYHIqRWQSI2AUUVCQD/vzIHYc8ALFgkUfm4DF0vUpZDX/kZBdSEmRqL39RwJTrmefxNfA\nK0CaU8wXcyEcKmT1WqjT0SDGZkB4mTfbwGfBpvWQluld9Po11KhRA4DZs2dzRu/epBUUsMAJ8Y5E\nommSv38vRQEHjZ+Kju7OlmceZP+948g/sJ/RF43g/ptu4gBvEWM5JeRj+UoYPnz4vz2HBw4cwDVN\nTKAYMGwbAkHvnz4fRijC8uXLSUlJKR3rEfyx+F+wX3823l64kAPjHgF/AFIz2N9rEHPeXUD//v3K\nHffGG2/w6ivPE40mc8GIi8jMzPzFPiORCI7jEos1wct/fgLoBvlvAcOhOAJA/oEoVXI3km857Iln\n52L7KcLg04+nc+UFBbz3scmtI7uT71REB1oAISBIWdZeHLESmHQlbNwIO7eV/X33TojF4IT49dw3\nHh6YDffcCOoENMfLd54ONAFWEwqLHadfDC2PgUtOhfTqkFERtJAyu3WAkpJidhZZMPoOqJjH/vuv\no/upffhi6RIMw6DfgPOYMW0mihnAamAVJKdiFojY8BMxYjEyE5P54YeaQDKkbYYXPmOfG4I3nuHU\nswbw7arP8VsWHMgvu6aCfAokvpdo0qQJN0y4hfnvL6ZKTjZbd1en1YlryM40WPQRvDb7EW4YP546\nu3bRIRYD4IPCQsaMGsWLs2f/6wfkfxB/pPRDuqTNAJI2UeYF/FfDtu2fdbQAateuTSBg46X1FgGd\nKSnZzZYtAfbv701xcRfy83sxfPglv+nckUiEZe8v4to2DbjE3om/JJ+3nixk9AXw+L2FNK5XArwX\nP3obhYWbSElJoVatWuUcLYCkpCRsnw+yc8H8CigEhI0w8QHDgFOIMQwwuf7aa1FRIWRVhjpNKL5x\nOj+EIhRzALgbuAH4FPBh4zla4LlwBhGK6MdT2MwDimNgHQhBrCOwEvgWuAhxNdCI/O+2sO3HYtZ9\n35xChvMFOSyTzWoMBKTZfmpUhXDIO0e1PHD8wmIT8DDwBqb5KHZxIeagY+He8XDRKVjLFnL77bdT\nWFjImWecwUn797PDH6Dk9KHEXl7F9tG3kx9wUMU8OKEvRBLQuaM44LhkpKeTkJBAHcviQoo5lU2c\nzi4UK+Cbb74hP/8Qo/VP0Lp1a3b5/bxnmuQD/pISjHGDYMWH+O4dz76vVzJh9GhaNmrE+eeeezBy\ncgR/Pv6W9uvPQlaFChiffuj9IhH4/CMqZ2eVO2bG9EcYdF4vKqdMZdem22jRvAE//vjjP+3Xex9M\nYBfwI/AZnvzDQiAG7MSy1pKUAEkHvse683JY9h5ccx4l+ft5ZUYBx3aA8SNjtG/pUDMtgs93UNIg\nCyjGMP4PWIlpPk3A74M5L8IBP9w3AQZ0gkdug6vPgcICmPOc13TXDsitDtu3eLF9ALoCFYC5HH98\ndYYPG4S9dSN88JYnPdG+G7z6ODgHIHI/uA8D04CWsKM2DDgWiouhTlO+WrOWefPm8eOPP3L33ZNp\n1b4lhVYMpSbBDffDu+swS4rYvXE9Rbt30LhxY8AFtkPrY8CNG8v23Vm3+muKiooYOXwo7oM3wsw7\n4KkpMO58fEGbV994g5Fjrubml99iboczmL49xqbdJVw+Zjp9znqQ5Z98SdOmTdmyeTPJcUcLIFVi\n65Yt5eYrPz+fp59+munTp7Nhw4Z/48n5G+PXhsJ+6QPkUj4Mv/0f/r/tF9pp3LhxpZ+33377cEf8\n/lQ89dTTct0EJSRUVTAY0ckn95JltTkkTDxQtu3X9OnTtXfv3l/sJxaLadOmTb9ImI7FYgoELO35\numwvfUAfv2w7qISEPAWDEeXmZik7y1VCgl/Dhp7zk23P1157TW5SsoxgNL592FbJ2AqQeMh4x8sg\nSVm2rRN69pRbpYYYNk5umy5q0/lYfffdd/KZfkFLYUQFJ8kioNYY6gpyMOWlPV8lMJQEqgwK4xOY\n8Rpq7Q8536WysLzyOeSorLZYV4FfA+PcqnAQLXgBxb5H909AGQ6qDwoFg+rfv7+GDRumBq6rs0Ft\nDEPHgCzT1Nq1a1U9N1cG6CKQFY6WCad+LlGvmYxQtGxrb8GPwg7ooYce0tNPP61019XI+JZoZ8NQ\nwDQVrlxNSRWyfnGL+N1339WUKVM0f/58SdLq1at1bIcOqpGbq94nnaReffuraqMmiqRlqHOc83Yl\nKCcU0vPPP/8bn8S/Ft5+++1y7zl/oW1E/Q77pb+hDTscWLFihaLpGQp37a1wy46qXr/hT8jv1atV\n0Psvl9mvc073a+LEiSopKdG9996rU0/tqyuvvEq7du0qbbNq1SqPLhGIiFMHi3NGiWBEkBnftvMp\nEHCUELV00UDUup0rNyNRvpxcEXT06Twv+ebsUy35TFt+f1iWE5LfnyvTzFA0gqIRZBiuPNK6KXDl\ncUEHCdKFGdBJoDNAZtAVuTW8LcSup4mzRgl/FcFIwYWCJBmWqSeffFKbN29Wem5lGRUqiXotvC3O\n7MqegOmMd8QVd3jXxWDh1PF4X6kVRG514QsqIaGmQqFEvfnmm1q4cKFCOXlektDnEg/NVUJ6RqmN\nf/755+W6ad52ZmpmmUDpmLtlpKTrvGHDJUm9Tz5Z4VBYOU5ITQ1DqQkJ+uKLL2Q7rvhobylXNtKs\nbTlhakmaOnWqKrquRoAuAVVxXd14/fWl2ZS7d+9WjRr1FA7XVCjURJFIsj7++OM/8rH7w3A47Ncf\naaxWARnxnzOBVb/Q7g+8Rf8ZbNq0SQsXLtSGDRvieleJ8mQDThcEZJqNFArVUZUqtcoZkoNYs2aN\n8vJqKhiMyu93NGnSz3OCTu9zovr0DGrVO+ipKSg1JaTFixfr/fffV/duHdSji6FTu6IBp6C6tQOa\nPn16advvvvtOw4dfqJNOOlXjxo3TiSeeLMOoLh+W/FjyJBrGCk6VgaVc19Vzzz2nl156SWOuulr3\n33+/CgsLNXfuXEWsoMcXiGbGr/MimbSQRQVB5Xg/bRXCVtNDshWPA9WrVUuuW0tlRM9TFcGvuhys\nlxgRZMRrFZapvqeBnACyTJTteNITXUG2YXjGxQkraPh1Vfz4y0B+y1Ln9u2VHeeURUGm7ReLtnpG\nZXmhqFRNRtCVkVdTRv8LZWflKj2vqoIpXhp03cZNFbAsOabpnWvmAq/t5GeVWjHnJw7t1VdeqfRQ\nSM0dRxmhkEaPGvWLz40bCGj0Ifenrc+nm2666Tc+hX9t/Bc4W/+W/dLf1IYdDmzcuFGPPvqonnnm\nmVKJmoPJHyUlJUpKDCivEqpTAz18Oxo93NS148dr0KChct08QQ8FAk1Vs2b9cnpxJ/c5w9OaOrhA\nunyysDPiHK72OvXUvlqwYIHCiUElNG8s/8BLxNJ8+Rq2VL1aAXVobcln5snLvD5PWFERiioaQfOe\nQfOfQxXSEUaqcFKEWVNlWX/HCzeqKqGIzogv2HymqUhKqghFPcK+L+hxyIJRz6kKBpSa6iUybdq0\nSWlp2SKYJao08hKADjpMn0t0Pk04OeKMEZ6z89h7wg2rLHFpgCKRJMViMV1w6Sj5E5Lk1qinUHKK\n5s6dW3qPdu7cqY5HHy0fqIlly+cPyE5K83S/bntKgVBYsVhMjt+vUYfYnKaOo0mTJsl2Qx7fLj6u\nSMuOeumll8rNbywW0/ixY5UUiSgaCqnLMZ3lulGZpk9t2nTQlVeOUSDQ6BAOXE81bdrqj37s/hT8\np52tysCnh/x+CzA6/vN/PUH+9+D5559XZmaODONg2Ya4OGagkW6++eafHN+gQTOZZpf4Q3qxXDe1\nXHbIQezdu1eDBvZTtaoZatWyXrni0GkpYaUHvcLLAccVhqlAQqLeeecdrVy5Uo4TkWG0EXSX66Zr\n5MiRSkrKlGk6cZkGW4BMbKVYlvIqVdL8+fO1YsUK5eXVkGGYysrK1XPPPSe/zyfqHSVG3yGcbMGZ\nglNkYsuHIQNDBrZyQSfGX+pLQVVAIctSajRRrputSKSRAoGQkgMBWVjyZCIGCtrKtl25oOPj7XNA\n1UC1QGPiK6tEUBOQz7ZFw9YikKoMTJ0Equy6umTECLmWJRuUgFck27D9IjtPDL9WRsOW8ienauJt\nk/T0009rwoQJ6ty9hwK9zvFWoUv2yW3Z0Sur4UY8PZtDdHXsULichs369esVCQZ1WXzMl4OiwaDW\nrl37s89Jk3r11N0wSksrVQyF/jI1Ng83/oLO1m+yX/ofsWG/F2vXrlWdZs1lmKYSMzJ1zoD+alzP\n0qfz0KIXUcUKKBLx6/3335dlHSrxME6RSNVyUZXeZ54txk8tLSVDUpo4aYDod5EIurrrrru0adMm\nL0Hm4XnitifF9Q8JN6Ihgwcq4A/JExY9GE3vKLqerrRKkdIoW8eOAVGrkbj2QXFcHxHM9eyRExXj\nHhA3zZAZTVKK36+hQ4YonJImJjwqevQXmRXFq1+KlHRxzmVi2HjhhDR//nw99thjCgRS44vI5sL2\ne/pgB+1Iqy7CMMs5OvQ4S56W1kEB1KBeeuklValbX6GGzeUe1U7plSpr3bp1kryM58b16qmebSt6\nyGLzAlBGKCpunik30XPY3ECgtJzbeFBj19XUqVN1/MmnyOl8knjgdVnnj1FW1Wr/VNB00aJFct1k\neRmVV8u2WyorK09w7CH3eaiys/P+8Gftz8B/zNkCHgc2AgXAOuAcvNTpt/BSp98EEn+h7R98W/46\nyMjIUXnZgE66+OJLtWHDBvXufYYaNmyuoUNHyDR98rbdDjplrTR58uRfda6w39Z5IDfoeCrtn8XE\nlNkKpaQqISFJ0PiQcZwcd666CnrK70/QtGnTNHfuXNWtUUMVAwG19vuV7DgKhRIFPeVt7/VRNJqi\nLl26iJqNvTTqMfeIyg0EAfWIZ/idiqcsb4BS8OQgbFAL0BBQJ59PmcnJmjFjhtavX6/zBw2SaWTr\n0K3MYDBZhCKyo0my/AFhmvKDsuNOkwkK+Cwlxp2waj6fLAwFsOUYhq6/7jrt2bNHgfgY2sW36s6M\nj+38IUM0derUn8gu1GrWQjy6sMzw3fCwSE4TN80QGRXFwi3e36fPVyQltVzNsY8//lg50Wg57bG8\nhAR98MEHPztnq1atUnZ6uipGIooGgxoxdOg/1cgpLCzURx99pI8//vgvLWD6c/grOVu/x37pf8yG\n/RbEYjFVq99QxiUTxEU3i0i6EiKG3nmeUufmvptR9+4dtWPHDtl2UGX0gfGKROrqhRdeKO3v2Wef\nk5uTJ55YLE7oJwZeUfZ+XjdN7Y/vri+//FK2HfIiTS07izpNhRNRo5atlJ6eIy/zMG5f7Kai7wVK\nqOA5W7u/QqbfFot3lUnOVK3vRc/G3FV2rsnPqkqDxpo1a5bMSJowLWE7wvKLTieJ4deWHTvhUbXu\n0lXDho0QHKWQ65MRjojOvUTNhp5d6TdCZtCV4Q+Kp5d47T4t8Zw+ji+N/GP4ZWdkedcep0D4ho1T\nz9O9OqiLFy9WxUhEV4FCoH6UCU1btl/BKrV0zbXXSZIuHzVKua6r3qCjfT5lpqbqxx9/VH5+vi65\n/Ao1PfoYnXbWAH3//ff/dI5vvvnmf6DLXC7bDsp1K8QjiFcpEGisfv0G/HEP2p+I32K/Dlc2Yt9f\n+Ffnw9H/fysKCwu5/777WLPmCxo1bkGXLp149tmFHDjQDdiD635Ku3bDaNGiLZs351JcXIsvv1yA\nz+cQi60FagDFWNZGcnNzf9L/V199xffff0/dunVJTy/P33VDYX4o3MF+NwInDfD+2K4r+emV4Ms1\neCT+g1iCl3jVMj5uh7vumsrkyTeza+NGBhQUYAFVgFlYQON4u9rAxwwYMIA5AwfD+KHQsiNEI+CL\n8VqJyVv4KMIkhh+HPezDy1t08eijBpBZUsKa4mKqVq1KZmYmH360jJi24dHrHWAHBQW7oUI2RWPu\nhkat4JmpFK5axmbbD34/sV4DKTynI03ioztQUkIW8AFFFAjmzJ7NBSNGALAT6IhHs60KVDdN2rZu\nzZlnnvmTe5yRmsIXC2ZDkzYQi2G88ypq0Ql6ngXrv4EetSE9m+DmdTz39FPlkidq1KhBgc/Hp0Bd\n4AtgD14ixc+hVq1afP3tt3z55ZckJydTqVKlnz0OvGzSjm3asG3DBkokKteqxZz58wmHw7/Y5gh+\nHkfs1x+L3bt38903q1HvVJgwDvJ7EQs/z/qNZWT49RtNMjOz6di9B0VFJcCzQGtMcx2BwDbat29f\neuwpp/Riy7ZtXD/2LDZv2UrJpbeUnaxiFdZ//z233jqZItuE4eNhwKUgwej+LN++FXPvDuAZoClY\neyG8Dd6bQ/7OfMZP8soaxjAh6Hp9GgZEo5C2B4xDkqN8PlJSUrj88muI7ckBhkBsNxgPwaI3oO3x\nZcemZrJi5ees/fpLgoG1nNUbnphrsvPMi2H9avjwbdi6iZBpkFFUxOpzjsE+4QwCa1eRahSx0f8O\nsJjCwj0wZjJFyxZBm+O8sQElR3VgzdS5AAcXAFjAacDTeKkDMZ+Pxs2bM+S88zhnwNkATJg4kUq5\nubz24otkJyXxyC23kJaWBsDtt9z8b89xRkYGfv9WiotjeJb1B9LSMhg8eCA33ngjJSUldOhwHFOm\n3P1v9/l3w2Fxto7gpygpKeGknl1Q4Ud0aZfPA/c+Sv1GvTjuuOq8+uokAgGHm266nlAoxJ49NsXF\nHQE4cCAX256E676CZeVSUrKVLl3a0r59ezp3PpZ3332XQMDlqKOa8cEHH+H3p1Nc/CP/93/P0Lmz\n990giSrVavDaR0tg7x7YtAEyK8KeXcQ2rMEkCnwEZACJGPyAqHPI6H1s27aVrVu3kmKapQ9JBuA5\nQHuBMHCA3bs38NVXX3HR+QO587774dXHMQr2I8UoYSj52EABFg/SGngfyMMLIxQBfrxcov0lJTiO\nw003TWD58s145Zyn4tFl1iDF4LzLYfIVcO2DXiHWZYsofmYppGbAgzdj2X7W+3wsCTiYyemwaR3J\nB/I5F/i/pUu5+IILSEtP54cff2QHnjhHCbDLttm9ezfz5s2jUaNGJCcnA7BmzRo+WvwBLFkG78+B\nXdux9+ygcOCV3g254Fo4sJ/ACw8x6KyzSo3cQYTDYWa/9Ra9TzyRFzZuJKdCBV77v/8jGo3yS3Ac\nh0aNGv3L5+uySy7BXbOGkwsLEfDy559zw7XXMuHWW/9l2yM4gj8T4XAY0zDguUchvxWQyZ693Tj/\nskf57IsS9u63eOYVFzO4gB8Ss2H0RHj/HYyFT9Cy5VHMnLmw9J0ETz6lxVHNePuVl+jerSPrp46l\noE4TcELYky7CihXwxBMvgxmFxq29RoYBzY6GFR8Qq9QfVi2HKjVh6UIIpcPqlWRlpTLpgc0UFQpM\nGy47AwaMhA/mwurPIZoId17l2Z6iAvzTbqJd/zO4/e13gJMBH5AEaoyvaAG67RJiy9+Dlp3ggRvY\nm1/A3nY9yHn3Pj7/CprW2M/bt1xI7LanoXp9nFGn0v/ss6hWrRo5OTn88MMPpPU8mt69e/Pss89y\nzqWXwb4Y9B0ORYVeUepOJ4M/QPCZKbQ5qhkATZo0IaViRWZ/8w1VCwupFggQqFOHeQsWEAqFys2N\nYRhkV8xh/pKPKY7FeP7554mEw/To2ZO7778f13X/rTnu168f998/jVWrHiMWSwG+5KGHnsS2be66\n6w4aNGhAq1atfvez9F+NXxsKO9wf/qYh+Pfff181q4VVtI7S0HRCgl+bN28utzU0Z84cRSJ5h5AI\nx8jvd/Xpp5/qhRde0IIFC7Rp0yaFw8nyhEZzBAnySj5cVo40eXAL69FHH1UgkC6ICl9XkZAhjusr\n0rJlBiNyHUundEctmvhVq1pAPg6WfjhWcLJMwurdu7e+++47JYZC6h/nRR3j88nE5/VLI2EkiLot\nZddupEYtWinHMGURlEFLGWTLEwi8RtBKdUA2lgyqykeiwtjKiZPaq1mWju3QQSUlJerQoYvgxPh1\nnSNoLwO/8FleaZ5zLxeJKSIclc+yZNp+WZEE4YRkYoi8WmWZhGOnyHXDGo9XNihomLLtJrLwylI0\nxVOHz05LU4rjqGqc6Dlr1izFYjFNmDBBVt8LPAXph94StzymcFqG3ORUce5l4qxLRNCR3eAoL0Mz\nJ0+T7rjzZ5+Hw60K36pJE515yPZkb1D3zp0P6zn+SPAX2kb8vZ+/qw07nHj4kekyAxFB50O2mlqr\nevUauu7aa9W79+mCVHninNVF2x5yTzpL06ZNK9fPt99+q4oV8xSJVJTjJCmnYqLO628qLSek5KyQ\nWrey1bbNUd6Wlr+N6HCyx39atE3UbeYJk551iahW19ui+1xi/kaZtl+7d+/W1KlTddddd6l//7Nl\nOmERSfSU4y+d4LUNOCLoiGiSjEBQxx13fNwen67SsjlU8ojv3fuK8y73qlz0Olf0vUA0ba/kJC8j\nsng9unCILcMNyZ+YrMFDhuiqq67S/fff/5Ms9ItHjhIX3ujxwB56y+OQdjtD2H7Z4YiO6d6jXHb7\n9u3bNXTQIHVo1Uo9undXverVVb1SJY0fO7Yc1WHDhg1yk1PExMdlBx31xasYUj8YVL/TTvtVc1xY\nWKhnnnlGDzzwgL744gsNHThQFUIhNXddJbuuJv8K8ee/On6L/TpiqP4gzJ07V21aREs5CbHvUVYF\n9yclDQ4cOKCaNevL728m6CXXranevU8vd8zZZ58nyim1N487MmWcJtt2SsnZ3vHHyCu/M0oeybyr\nIKDc3Kpq1rSGZj9G6dhaNEA+bBkEBT75DFvLly+XFFc8z8yU37JUMy9P+BzPKbODXpmMz2KecxNN\nkpcmfcEhRiddEJCBIRtb0F+lysyky+/zKSUS0U033aSCggJJ0oUXXixPhd/LTjRoIxNbFS1LVmZF\nWYGgTgKNwlOod0CVXFc18vLUu3dvzxk7yJN4d7Nsf0DjQd1AFq6grRKx1BfUBZRtGEqJ130MYMki\nU4YRUt++Z2nChAmy+wwp6+/Fz5WcVVHtWrVSmm2rvmGoKchOzfT4Ha9/I38opEWLFqlNs2aqnZen\nUZdcUnpthxNDBg5Us0BAY0HXgOo7jq6+8srDfp4/Ckecrf8tfPfddzr99NNlGJagmUyzhcLhJE2e\nPFl1W7SUYRxKir9aOOlyqtbSyy+/XK6f9u07y+c76LBdJb8/U6kpft15Hbp2lKHUlLDuuecehUIV\nBSNFsIG3UPNZnpPkD3oOVOWaovWx4sIbZOdU0VVjx6lJm3YKN22t0In9FEhIitdVtITP7y1WP9jl\ntZ36Rmn9Q9MJyedLl5c5XVOQIdMMyDz5nDK7cc9LXgLRowtFTlUlRtH4kV7ZG230kgMCpqlo3KZl\ng2wMDRo0pNQxmjjxVgWO6y0enutxRqvVk+GGNf76GzR79my9/PLL5cr6HMS8efOU5LrqDzoPlGxZ\nqp6To/59+ujbb7/VG2+8oYRWx4iRE9XMsksXb6NAUdf9zfO9bNkypbquroz3dzHI8fv/Kcn+vwm/\nxX79kaKm/9No1qwZG34IcPsDJiu/gsuut8jOrkxOTg6SeOThhxk29FzuvGMy8+e/ybBhR9OtW4yr\nrz6HJ554tFxfX331DR5j6iDygP3AjvjvK0lMTCQxMTH+ewlGeCXYYbytuI+B96lUKYcPPlhIp07d\nmPZ4kMJCOHAAvvw2QAmtEaOBS7EDyaxbtw6Ajh078t0PP1BQVMSwiy/GzKsOvlXghiE1rvbsuBhJ\nKXjMgKT4xrmRpwAAIABJREFUGEyws8AnRDZFFAMHOUg+sKpSkpXLCaf35corr8Tv9yOJSy65iMzM\nfOBO4G7EYkKOxdHFxbTctIHMggM0wtvE7AAIGHP77Sz//HP69u2L+dbzsHO7p4z84gywbB4POMz2\nBSgmBqxlF2KxP8B8f4BNgSAu8DwWBZxIMUOQLuLFF98mJSUF3xtPwf3XwWtPwvATSE+IsmTJEgYX\nFXGKRA8gNX8ffLwAMnMoKiigW5cupC9ZQtu1a3l5yhQuHDbsdz5NP8UtkyZh1a3L/aEQ97ku6c2a\ncdXYsYf9PEdwBL8XixYtolat+jz55GJEAFhKTMtp3KQ+YyZM5PNjz0Z2GAjEW1hQYFA7PYXatWuX\nEwxetWoVJSUHOY82hYX1aNf+BD5ffyZb8gfyzruLGTZsGP36nUgwOI2ofxdu0MWuXgfmfQ8f7oZW\nnWHLD7BlI/Zjd3HjiCEsWbKEpUU+9k5fwL6bZ1HQoC3FxdnAFVAyCt5ZAvddC5FEaHOsd/r6R6Hc\n6pT4dsNlN8Ml50DlRGJmjNhLM2HQsZ7qfHZl2Lcbpk3AWv8NtXbD7EnQqCMMvQJ27ISSWIzz8bik\n5wIuFjNnvsgdd9wFwNChQ6iy5VvCU28gWKcx/o1rmXrnZJZ/8D7n9u7N6H79qFO9Oh999FG5e//0\nE09w1P79VMOTnA4XF9N0/Xq+f/ZZWjZrRiQSoXD15yCx0ypjFe0CXMcp19cnn3zCc889x6pVq/7l\nnG/atIk02y6d0UTAtSy2bt36L9v+XXGEs/UHIRqN8tbc97hwxLk88PhqGjVqwiuvPoxpmlx04WDe\nXziLM3vtZ/6CIK+88gxz532Abds/6eeDDz4gLS0R215MUdFBh+sj/H4TeBC/P4ptx3j11VcwDIPl\ny5fz9MuvoMtuhoQkmHgZvi0rufvOyQwZMoT77r2b5557kh3bS0ip65Ud2rcf4Cg8unqIgoKafPzx\nx/To0aPcWFq3bo1xxRiwYpBTF0b2gZqNoGUHkgq+ZzsWPt8cSkra47GyVoPPhpJdeOysBcAxwA6w\nvqJk9CM8MbovD957N1u2bKFrp06sXbuWgqIirOQULKsY50CMvfuKeNwIkKkY++Num4XnbhYBH3/8\nMWvXb2D1uvW4u7ZQcHQKMUEwaLCvxxC+iiTCrGlQci7gIPtFvqkXgklPwa7trB/YBXPrJgxewGIB\nRfSjqCiHN96cQyycAO/NwXhxOubW79n9vXf+g7rJAoqLi2HnNvw3Die7SlUy1q6hYfz/3fPzeejJ\nJ+l6wglccvVY9u7Zwykn9eTOibcQCAT4rYhGoyz66CO++uorfD4f1apVwzCMf93wCI7gT8bZZ59P\nfn5X4ENQA6ADaCML3n0Cho+B3gNh6kTYPA9ojGF8hRM8wKpVK2nYviPk7+PpWY/SrVs3ateuzfbt\nqygpaQsUYRgryczsyX333QfAypUruffee8nNzaZrz+MpKCxk3779vNuyp2cPAc69HL77Cpq2o+Tl\nWWzduYu5Sz/xEokOJrhs3ICXMBT/ijxQDxbNg62bYO2XkFcTftwI69dgNGiOBlwKH86HJ+6FO5+H\nkhJ48xm4vB/s34tv9w6sd17hGKBF/L5ECmD64wbVisU3eAWDwGN+RTDZVVCZOXPeZtiwIaxevZp5\nr77MoEFDef31N7HtFIYNu4gko4TzC70Eps+As884g5WrV5fe+1Akwn7TJBaL8TEwEi85qVZJCdvz\n8/nyyy8ZNeICbrtnMuvwyPQZwCeuy6RD+J/Xjx/PHbfeSkXLYl1RETdPmsSQoUN/cc4bNWrED8XF\nfIMXGlgGOJEIOTk5v+rZ+Vvh14bCDveHv2kI/qOPPtLll4/WuHHjtX79+tK/79q1S65ra8cqL4Rc\nsgE1rh8pJ0h3ECNGXKJQKE2RSCOZpiPDsGWatoLBBNWr10z33HOvVq1aVU7w74oxV8nXuI18lq1A\nwJGdmaPkipUkSY8/NkvVq7pa8jr6dB5qXN/RDdePV+3aDeXJP3gh/FCoqmbOnPmT8ZSUlHgCexMf\n98Ljyw6I6vVFIKCnpiCfiRo2PErgi3PKQnE+QzN5RaIdYVjeFuSYe8Ts1SLgKLVijo5q2FAdfD6N\nwyvQ7BiG/CYKYsugpuDc+NaopTTDVBvDUNQJyaxUTZGMTAV6niWumyZqNlCvkwIq2YCuuQSFalbx\nZBrcpmXbruFc8eSHZWH+MXephj+osaCOGLJJkeOkqUbDxmLoWEVSHd16DRo9wpAb9EL+NVxXJ4Oa\n2rbcQEDRjExVzs2VzzRV+xAu1VBQYjgsJy3D41q89pWcdl11/gUX/uT+LliwQMf16q323XvoySef\nOhyP4V8WHNlG/Ntj5cqVatO6gQzDFlwUpxmUSTpAXdHlFHH3iyIQFaQJHJmmIzsUEjPf9d7PWYsU\nSk7Rtm3b9O233yoUShJmkvAniPptRNDVPffco+uvv17BYFS23UyQLVIriX4jPL2t404tqxQxerLo\n0EMsL5Th8ymrRm1PvT27snhjjfikSGRVFxyUMhgnw2goJxKQ3zGEGxKNWolQVG40WdSo7/U94nrR\noI0IJotwXe+aLL9O63+mLrzwQjmg0/+BZ+nPzFFFUBaoLZ5e4Ekgi4As6ygde2xXmabfuy/x7cVE\nbKXil01IBqauoUxLK+w45eZg7dq1Sk1IUGvTlA9P6+/g+RuEQqVC15988olmzZql0aNHa/Tll5er\ngvD1118rwXFKxU8vxKvUsW3btn86//PmzVNGcrJMw1CNypX/VkWqf4v9OmKo/gDMmTNHrpsgOFo+\nX0slJaXru+++k6Q42d3W8AGmzupt6fXHUeejo3rllVfK9bF06VK5bopgdPyFHy6fz+/pSeGTha1A\nIFGPPDK9XLv+/fsr4rM0Ck9t/WjTVDjovYCn9+muGXdSytV6/XF0TIemWrp0qRISUpWQUEuhUKbq\n1W+ixu06qHWXrpozZ05p319//bUnwndQcf1zyRhwqdq3ROEQatighvLyagpOi4/57DiXoYugtfez\nPyhOH+6JDFapJS6+WUx6SpZhlIp/jgelgkJBZJr/aKBzRMtOYvh4z7g5oTJj97nEBztlBW3tXY2K\n1iHDwDufLxQ3+ONFqJInQHjQ2Tp1kFqbPo3H0wUzQG7AVfOOnRStnqP/e7jsnl1xAUqMBDVxwgSd\n1K2bRl58sXbs2KHLR45UzWBQF+IJpjbDE2CNmqYqZOeIodeUne+1r5Sak1tu3hYvXiw3JdUTa5z0\nlNycypo+46cO798FR5ytPw779+/XjBkzdMcdd2jFihX/kTHs3r1bORVTdP8EQ+1a2DKNpnEO6bBS\nTqdtZysQiYhohjwh5IPveAMRTRbLCsS4KWLglXJyq5bq0wWTUsSdz3uLl2eXyde8jaIRQ347IE9p\nfbBw64lImsclvflRUbepaNhKNGsvUjLEy6vE0HHCcIQVFhfe4GloOaE4v8uVYdgKBjIVCaepSq6t\ncAjde5MnwnpWbxQMuIKTvDatu4jmHYXhqixxaYgwLM2ePVvRaIpMUDqetuD5cTvBkGsUDEeUEwgo\nxTBkgwKGLcfJU1ZWJfnMgKCPbMJKwRNxHhu3kW0wZGNoCOhqUCX//7P31eFWVWv3Y3XtON2dnKS7\nGwHpblBAQkFAukQUQQX1GmCBAgZicRVbUEAEUfkIBQtFQAVFBDnAiT1+f8x16rO54E/vx/s854G9\n91xzrr3WXO8eb43XoBUWyYZt2nHHjh1l9+KLL77g1MmTWS07m8mmyd4Am7mcWt99993v3ss33niD\nGX5/Jb7AGK+Xe/fu/UN74WLkrP7/lvPRX5fCiBdBrrtuJgoK2gLIRkkJcPLkq1iy5HYUFJzD8uUP\noagogLtXxALIwWPPvQmvJ4AGDRpUmuPQoUNQ1SiU82GFo6REQh8AVVCCj1GCNedO484778UQlzMF\nAKKiopBXUoxStqU6gQC2B0oAAD5fCA4ellEaBPvyEOD1+lG9enV89tk+7NixA69v2Ii71jyNM6Nv\nAE79iMv79EPrBg2xf/+n+OSTDwHLgvToXeCo2cDxY7A3Po6p84GPPwPe3pOOfz//JoDO7urbIdi0\nqgG4F0AToDAHWPsssGk9MGYu5K8PQnt4CUBiD4SLvQRAkQMsnA6Mnw0EUAThXCeAc9Df24SSvTtQ\nUlQIdOgHHDlYxjcD04akyCgqAnZ/BBg6EL92GQIlJfgCd6EEhui5fePVwPubIR0/CmnLy6jrXqOv\nAZgAcorPIS85ER9/sBEhpWloACLCgHoN6uG6KVOAKVPK3n985Sq0OHsWIQCGA1gHYJdpo3DYdfhp\n66vAV5+XT/L1V3C8XlSUex9cjoIhk4GewwEABR4/bl16AwYP+jn31yW5JL8mZ86cQe3aDfHFF2dQ\nXBwMWZ6DJ59cjQ4dOvyl57Fr1y5ERxThqkFEjw5FaD9wF97dWQzgQQD5AA4jMzMKDz+8Dg0bNsdZ\nBFU4Ohj4aR/Qrwlw4ARwNhpncAyLF9+B7dvfw9mz54CnHwT27AB8QQh8ewivPUk06FQMQAKMVcDE\nW4CENOCq9sDl/YG2PQSFw9L50Lw+FM0eAXywB0AXoPgn4M7rgR5DgI4DgedWAGe7gfgCgcBmRMZZ\n+P64jNhYBaOHCD3RoDbwylvF+OZoDFAUCpgOsPllgOEoDwhGQYaCgf274OTJIjgQpDkrIXRcsaYD\nubWhGAam37IIJFG1alUcPHgQiqIgNTUVNWs2ARBAFApF+A8oS7TOAPG+JGO5oiCgGyjOrApOWIQt\nn3+Ipm3bYdf2bUhJSUFiYiIWLFyI+TfdhNtuuQWvvfgiEuLi8PCCBQgNDf3de5mdnY2jxcU4CJF1\nux9AoSwjKSkJgOCTPHXqFEJCQn4xlUHX9T+6bf675c+iswv9h7+ZVXghJDU1h8AVFSy1tqxevTZt\nO92tDryWgsahI4HBjItL/dkcX375pesdu9KdoxtlaGUu47kAHajMz69d6biVK1cy2bY50x3THWBO\nejpJ8uOPP2ZkhI9XD1N43SiZIcEW27Ztw8yMZLZr04Tbt29ndp36xIOvl3thrruN0JPcakaHQJJg\nZfb6qVo6Z0zSyCPgmmVg58ubs379plSUZhRUFikU7YkmumHF0usxnAgOp9J5CKNNm30BNoNgla/i\n8TDW42FUhMUnl4FDeim0rUgKOohcylCpAvQAVLOqi75i0QnEtQuIVVuI1t3ohNrs3w0MCwHjYjSG\nmiZ7AawDEJGxIvz5wn5i0i3U/MFs0qABQwBmQfRMrAuwCcDuXbty2NBBTE5Q2Le7zFZNJXo9Ch99\n9NGy6338+HFOmjSJuiSzXYV7Uxug3HdsWTNryeOj2mUwMXo2rfDInzWYHjpyFDFhYfl1X7qeefUb\nXfC9+XcRXPJsXRRZunQpbTub5VQygxgTk/SXn8euXbsYH2uz4DOQR8AT+0DLlAn0JtCcmuaUed2G\nDx9F06xC0bh5MAEPIeVQNIIu7Zk60Q1DdhMhwirVyileRs9hkxYOQ/yq8J5dPric+T0ylrj3BfF6\n8zEiJJyKaRGKQhjZLO/U0cTtv1qbopWOq6vk6oRhE0m5DAlCpe9jWwqBqwnJS6x4k1j/CaE5BEa5\nx/eiz6PSNEwCddkU4BAIupsuABWAkmXz2Wef/cVr+MMPP7gpGbUYAYW1ACYBnOF6t/IAdunYkSdP\nnqTp8xMbvy7XH10Gc+7cuf/RPTx8+DD37t3Lc+fO8cUXX2SQx0OfaTI8OJhvv/02SfKepcuoOw51\nn58pOXn8/PPP/6M1/ylyPvrrkqK6CDJz5hzador70A2hbYcyPT2X5dQHcykaPWcTGPmr/aLWrVtH\n2xbNqMPComlrGie6P+ZjIdrMPPFE5dye4uJidunQgdGOw2y/n6E+H999992yzz/44AMOGjSIebl5\nVBSDQFVKaEhN0+jzGkyvUYu45/nyh/bqGwjN54YAwlzQZBJIZkykwq3/Bt9eJ8qXa9WszZ07dzIz\nM4+G4WF57lZHAiqB8Swt2ZZNP2U3z6AUoFSzLHbr1o1jx45lVlYeAYmSBGamyjQNgzJkKoZFIzOf\nsjeICA4T+RUvfUY070T4gqh7PZx1rWhsO2McGOS3uGjRIuamp9NQNSIqnnh2N7WkDEqyQl2W2bt3\nb0qmTd0wmaqo9LqK0MyuTtWyqHh8xMiZxIBrKJsWPabJtWvX8vjx44xKTqV8WW+i50iqkJgFhalQ\nqUoS8drBspYbVkIqQyKjKFs2Fd3glJmzKvGt7dixQ4QRZ95NLFxNOzaBq1atvjgb9G8gl8DWxZH5\n8+dTURpV0DOTaNu+3zympKSE69ev58MPP8yPP/74gpxHIBDgwP7dWbemw1njwewMnY5t0LZr03Gi\nOHbs+LKxZ8+e5RVXjKSimC7Q6UKgkTDsyr7HbEqSQkOvQigNiWtvrhCW/4RB0Q6H9oLQMy16lH92\ny2OEblINixJtcHzBIld0249E446E0cCdvyETEpIpy6qrq0p5s/q5r5tTUYJpWybr15KZmgQaegSB\ncNF4OiiayGlIKLY73iCg0bEVylIygW4Mh8bprq5rA1BHEKHY9AeHcua0aSwsLCy7JmfOnHENVx+h\nO0R4DKWkTBqyLEKNAA1F4Zo1a0iSmtcnDMjS9I4WnWkZBo8ePXpe927cmDH0GAajPR4mxcby008/\nZVFREb/55puy1mDbtm2jHRUjrueeAOWJi5hbp96vznvq1CmuXbuWjz32GI8dO/anz+vvJJfA1t9E\niouLOWXKdEZFJTIxMYOrVq1ihw5dKUkVm3I2JJBF207irFlzfnOu77//noFAgPOvv55+02SqptFS\nFE6aOPEXjwkEAnz77be5fv36Sg/bO++8w8gIH/OzFRq65FpxpefTi5HhBttf1ppWZIzIHZqwUJD4\noQ2BSNezlU2RF2ESehgln5+y10sgi6raiOnpOTx37hwPHDjAGjXqusDMzYtQfASq0zRjmZgQQQWo\n1HE+R9ep6w4VJVFYr5hKYBplKZ5NmzYXPDmlVuo7J4iIWCIjn5i4iHZuDY68Zhw3bNjAiHAfVY9D\nhEXSqdWI/sgoapZNPLuHqN2Mmm6wg2shtgQIyyYatSNyalGKiGWaotLw+GlbDnVvELFwVbnyHjGD\nVTSdHsvi5MmTiVZdyz+7/SmRtIsGlB0vrZadiVsfp9F5ID1RsVSHThTW9qajdNKz+fTTT7OoqIgr\nVqzgvHnzuGTJEnbs1YetOnfj2rVPXdhN+TeTS2Dr4sjbb79N2w4mMILANOp6LXbs2PVXxxcXF7NN\n5670ZFejp2Nf2qFhlZo+n4/cfvsddBw/FUVjzZp1OG3qVD755JPcunUr77///krJ1+fOnSsj4/zq\nq69omn4XrFjuv90IjKem1mbVbI2aKhPIFb0O3z8jnrtxN1Ly+BgTZQkDzwwj+o0TBTPhMQQ0qkii\nhDiRx1Xaz/Tp/yGcCAKtqOsO9+3bx4KCAm7YsIEhIZG0LD8Nw2ZoaDRF7ml14ZmT0ly+QUWAKskg\ntDgK739f99yvoMg1vZylfIcq8mhAYhBUavAIrxg6UVdsZtg2hw8dSlIY2Y0bN6YOlQ5kWrJMrVZT\n8X1HzSZiEgTAWbWFdmgYDx8+zOjUdOHhn7OMcr+xdAyL+QDnzJ79q/epsLCQ06dPZ7fOnXnHHXeU\ngahnnnmGcY7DKa5ebivLrF+z5s+Ov+uuu2j2Hlmu/3YWUlaUSqSppfLdd98xLTGRVTwe5nk8jAwJ\n4aeffvqfbLP/r3IJbP2N5aOPPqLfH0bLqknDyKeiWExOrsJ58+b/4ub8Ndm9ezefffbZ37VAv/nm\nG27atKlSJWRGeiyfegDkEXBwT4WVO7KPYJBP59VjR3D9+vXs2n8gw+MTCaRSkKjWIpDnWp1zCb0q\nUaMx8ehW0UTVcAhcQ48nmuvWrWOIP5SC5G+W+5dBQKUsy+zduwfr1tQZbIORAHu5YTsVIOxMQgoX\nSq3s3PrSMv2EJJWzPu8l0a43PbbN/Bo1ec8995R5ilatWkW7ap1yZbxwlaiifHQr8dh2OppeBvDq\nSZJQUn3HiPBpjysp2R5aksRpAMM9fuKhN8rXnLOUOaZNHaBX14nW3co/e/VLwrRp216++OKLnDn3\nerbu2p3XTJxEf1Q08eoX5WPHXM8qVaqwcZt2dGo3oTx8Gu3EVN6w4Obz22D/MLkEti6ePPLISgYF\nhVPTDLZt25EnTpz41bFPPfUUnfzaxM5CsS8feYshsXHnvfbzzz9P246gIDeeStPM56BBw342LhAI\ncNy4iVRVjaqqs1Wry7h161bquodANQI5rlEXSUBjzXyNX24HNRWEHUfUbCxChBn5RFAovTFxHDB0\nGNu3v5xANKFmEFaUayC2KNclUi2i3/iy5tAIDqes2T8L6xcVFXHr1q10HD+BxmLOstDsTAIagTgB\nrqSmhBVEmA41zaEs51fyyAESZajUEeyCtmYsD192ZhAMTgZoaBqvmz6DTmoVqmk5rAawFUDb1Y1q\nVnXisXdEl4w1O4idhfTXb8GXX36Z/YZdSUU3mGrarKuKCEgrgAP69mXXjh3ZuE4dLlq4kCUlJTx7\n9iz37dvHmNBQxrjjIgA2b9yYgUCA8+bNY2NJ+l2C0+eee45OdjWRlrGXxENvMDQu/hf3xYRx41hX\nKydNbS3L7HzZZee9z/5/yyWw9TeXw4cP89577+WyZcsuqht1zZNraQWH0Fu1DhXHyyo1anLpsvso\nyxI/eBW8rBGYFgtKkkXREmcsdS2GpmmUVbEEAgHXcosmkO661dsQiKCq1iQ0g3jzG/GQrdxM3fZQ\ngURDUhgVGspgGK6VV6p0+jAGBnVVZccOzenoYF+ALdwH3ZAgaCQWryGScimqF6cRmERJaiyUlOkV\nVYx7SbxxiPCHsjHAeprG5Lg4btu2jZ9//jlvuOEGyldOKQc2m48RskpIHsIJoyIrnAhwNMA0gIiO\nL69m3F1ChEYyWlU5F2ArWaGanEmsfZ94+E1KwWGMcHPGegHUAVFK/tJnRP3WREQs7Zh4Dh4h2J/H\nTZpMxTAIj6/83P+niGq1BoyUZcrxKSIUupfEhsPULKsSlcd/q1wCW38P+de//kWzT4UuCR+cpayq\nlULcf0bGjh3H8pY80wj0YUTEz3+AH3roIdp2AoHJBGbSNMKpqRIdGy6QuaaC7mjGbu0ltm9psVHD\nmqzZoCHlYZNEReHgCURsMjH3PqpDJjIsNp5ebwiBKi7IiqfIAyudqyvhjyY6DxJtdGzR+SI0PJaH\nDh1iUVERP/nkEx49epQPPPAAbbuWC/pifwFsXV0+r51H9BjOjPyqdJxo97vPJTCQtu1niGmyJoRx\nKQBXV9dwNRgOwRqvSxJ1j5fYfIxGWi6bQFRlXw1BhxMny5Qzq1J1vPTZHmpJmTTDIrh3714ePXqU\nISGhTJAkjoNgiw82TTqmyTYA+wFMME32692boX4/PZpGw507EqDPBXT9evXio48+yiTHKQt5dpIk\n1sjJ+dk9LCkpYZc+/eikVqGvdRfaoWF85ZVXfnFf9OzcmV0qRDGGAL845z9FLoGtiyynTp3ihx9+\nyB9//PF3x545c4br1q3jmjVrzitufr7y448/0goKFuBgL4W72RtEK7UKg4NMegywvSQ2ewhAwKAs\n6UxLTeabb75JUgCtzz//nAAIeCnDpA6FOgz6veCimaBqmyJH4PWvqNoe9nbzrxoCNCWJNaFQQVVX\nQc2hhHzaisHZM2awW9fOrKKWP3hzAMqAAFB7Sbz+FRVJdXllxJ9ItB8lOGxCIgjdYGNFLZsjUZZp\nhEXSDItg/abN6KRkEpuOChDVuAMF31dXAk0JKNTdvKzSP9z3ktuCYxvhC6Jk2ewCkYiarqiUHB9V\nx8v6AOsDDIboF9kKoKmoovy7SXvhTdt+ik5mLsePv5Z2TnVBlfHEu4TjpVStPvXYJCaYNrsDRM0m\n5T90ewI0/EH/+HyGPyKXwNZfJ0VFRVywYCHbt+/C8eMn8ocffij7bMeOHbQiogRw2ROgMmYuqzds\nfN5r3XTTTdT16iwPpwVTkjQ++eTaSuP69x9CoEMZAHJscEB38KpBoG2BIiQngIwsZzMzI5FzZk/j\nuXPnuGfPHgZFRNJq2Fr0LXxub9kzZHQaQE23CDmFwATXS5ZCYDoFjU4sAZNISCNUmyLcN5NAI3p9\nYYyLDWOQX6Nlqby8Yzu3qGk6ReuxOgT6UpbTXLA1heVgK5cYOJ5hSalMT8+hYQRT15MpyQZzatXm\nggULOGzoUOoQ1DKmAiYnqNRlkcowBGCKolAJCiX2BKi278sISeLlFQDKUFe3TnINvXCgUjju5MmT\n7NapE4M9HiZERrJD+/asWuH4ca4uHQBwJMBQgBluVGEOwKkA40yTq1evZv/evRlq20zx+RgZEsLd\nu3eTJL/99lvOmzePkyZM4KZNmxgIBLhx40auWbPmZ63oKspd//oXk22bUyDSN3ItixOu+TnX4D9F\nLoGtiygvvvgiHcdPrzealuXlmjVP/urYkydPslbNLDas42Gndl7GRAfzww8/vKjnt3//fi5evJiz\nZ8+mlZBS/gO+l0SNRsSAcQR0Zld4+CYDVGW5Ejnd+vXrGez1UlUUagBlmIyAzNEAhwEMNcHnHwGv\nGKgIN373K5lcoafWHBe8DAMYDo06/AT8NAwPu3TpzE8++YTPPPMMw5VyMr5xpWBr6wk37LeaIbLM\nyS7YqQVQRQKBmgSqUoZF1QU7peumqJoIC7xXQLtOU+bWqCk4vYJCKXImRpYpRg06W7nnOgbCTa/I\nCjF2nrB2J91KzFlGeP10dJ2xkZG0Na2swnMuwARXaTWSJHpNk5BkwQtUqvT7jWKteg1E89rS+zB5\nMT2SxEHu9xoLiDy0xWuIt76lMmI6s2vWPm+vwj9JLoGtv0569epH284g0I2GUZsZGbmVvKcPPrSc\npsdB0oCWAAAgAElEQVRLxTCYW7tupdSDPyu3Lbnd9dxoLK+kHknb9lfq3Tdr1mwaRg0Cc6jrsZx4\nFcq47OZdBxo6KMvJtKwspqRklhm427Zto98fRp8vlbruo2w55YUoe0n0HCH4rrpcSVh+QnXcc5EJ\nSK6nXhGAC1msHO6T6Q1WOagnmJwAhoXIjI5OJJAsjDzNISSTmqZRVEomUHAKNiB8EURIBCVIFCkT\nCgGbUIKoOH6asky/ZbEFRC/TIS7wiUE5b9Y0gLAcKlfPI57bS9W0WKeCzunojr8cYJD7bxOAoT4f\nv/jiC7799tuskpJCr2UxKz2dsXHxzHP5A+e6XizN1Xeh7hyWq39Lx7QAeN2kSQwEAtyzZw83b95c\ndu2//fZbxkZEsLamsTnAYMvi2rVrf3Ef/G8pKSnh1aNHU1MUaorC7p068cyZM9y8eTMfeOCBsurG\nf4pcAlsXSX788Uc3dj+skvL4+uuvf3H8DfPmsl83g4HD4BtPgq0agxlp8dyzZw///e9/c8uWLT/7\nQQ0EAjx79mzZ69OnT/P6ubPYuVMr9u7dky+88MKv/ghv2bKFjhNEw6hH08wlDJNY/XZZ82QEhRLN\nuxLIZhrKvUHjXWAUFBTOt956i19++SX9ts1hLhDpCNB0gVPpMe0BDu4KhoeCsyeALZrrjFBRBpyu\ndYGTCTAXoF9RaKoyrxsFTrpKZniYh7t27WLLxo2ZYllsqCgMs21Wr1mbVuO2xNIXKefUZOsKa/ZG\naWihFYHLCBj02zazLYuDXe+S6viEJ2sviWl3MCYzWwCmy4e6inVMWQhAqqDg5gKsBuFCV/zBlekX\n7niaeQ0a8dtvv6Wl65xRAVBGQ5Reh3i9/PTTT5lRrQalWfeI4zYeIULCKQHUI2LKc8em3k6vZTEV\ngvA0QtWoazoTsnJoBwWzUZt2PHz48IXbuCTffPNN5tStz+i0DF4xeiwLCgou6PznK5fA1l8jx48f\np6ZZrndGsKF7vSk/C/eUlJTw9OnT/9Fau3btoh0RRdz2BGFEVQAyc+n1JvGmm27ie++9R1Lo1IyM\nXHq96fR6TLZvq9IbatEJtmg6Kvt2Ads215kQF1oJ/MXHl9LJiDClaodQqV6feGSTCNNbliAxLX2G\nb15Jj19leorE60aBKYmgYRiuLglnOWHyKEJ36ER4GWSCVTxCN+bl5VEPCiZGzhBe8tVvE5LjesNa\nu8DKpGNa7Owab5KsEI6faNSZCI6gV9XZyNUxcyronVRJJgDKkNkSEqdAeL0yqtWkYjmULJuqojJT\nN1hVN6gqKhNcoHRFhXnqucVSwR4Pu0KEBVNc/asCbCpJ7AERyYiCCEkOhFvR6OqiuRDEqOm2zfvu\nu+9n9zYQCPDqq69mDaUcvA0CmJGU9Kf2SGFhYRnQnzF1KsNtm7Udh2G2zXlz5pz/5vuL5RLYukiy\na9cuer2xlZSH35/Gt9566xfHjxwxiHfdCD56NxgTBd40DRzaG7QtiR5PJh0nmh06dCmr/li1ajVt\n20dZVpifX4sHDhxg0ya12K29xocWg03qgRFhCvv17fKLgKtGjXoUVTul55ciwnzR8SIxfOgkwuMn\nkEkVDutAZmeIUJiMxgT60+sN4apVq5hoWawOhY0gGN0NgCmQWRUqBwFsALBXB8EYzyNg8VdgmwZg\nnCzCaz6AbQH2L7WidHDpQpRZrTdPlzhsaB8WFRXxkUce4YIFC7hhwwaeO3eOV1w1ir7YBELTmVIB\nEMVAdRVb6ffrQY8nlJOuvZa18vIYHRFJecA1bs7JOZr1WjA9N5/oOpRabm1KUChoKwYQ6EC1grKa\nAeGOl3U3r2r6nRW4rl6kERHNsIQkRoSGMhGixUaNUjCZmcn9+/fzyJEj/OCDDxidnEo1PJrQDDZQ\nVU6D4MUxQiPobd6RQVHRjM/KIbpfQbXLUOL6+4lhkzlpytSLsm8/+ugjQSex+EniuT20WnVhr0FD\nfvOYLVu2cOjAgRw2aFAlFuoLLZfA1l8jx44do647rNiFwevN4Pr16y/4WitXrqSnQx8RNjc8LGeL\nv5qARo8ni7YdxmuvnURSpFo899xzbNS0KaXUKiLv8cVPqWdk8M4bZVHI00vn/Bvm8dChQ+zZs5/r\nnZpZ7qXW6lIzNUZEqUxM1nj5ZSqlFpcLL/P2U1Sy8hgcBJ76BGX8WI4tU3STCCfUGMKoS5hBRI8R\nNIK99BqgX9WoxKWI1ADTJl7/qtx4VYNYzv81m4CXI119MhUQXTZe/FSMv3EFNRf8yK53qRTY+CG7\nOulaKvDQD4UyUhkVGcUQv8RYL4j6rYhZ94h2Qg+9QVNVaUC0ASsFPY0liT26d2ee18s2ADMrgLpO\nAHVI1ONTqbg6PwUiX7UqwAb16zMiOJjpPh8jHYeXt2vHoqKiSvc1EAhw0KBh1BSTTSqsOxZgqNd7\nXnvlwIED9JlmGfXPJIAe07zgxubFkktg6w/KiRMn+P777//hXKrjx4/TNCsqj2toWT4ePHjwF8ev\nWL6c1fNspieDm58tBxp9u8guaJhJx0nh6tWruXPnTlpWEIGrCMymLDdjVFQCU5J0XjcKvLIf+NT9\ngqAzI9XiK6+8wldffZVJSZn0+8PYvXsfxsenVQqTAW0JKOzTGWzU1KYeEszY+HgCHgKJVBBKrcyt\nPsdVWtHs1q27O6YtZVSnBYWi/Lqh+55JQ1WYEB9K0wD7dgGXXA/ueAk0TRAAe0J4zGZDtJbwuWHH\n0muw8l9gr56X8bXXXuPChQu5Zs0alpSU8NNPP6XHE0yRhJ9H3QVBqQAlaCzP7yjlvjE49KpRDI1L\nYEx6JkOiYujLrkYzIpqmqjJc06i5HqgJAGtCouRyhalqEDWI5Hg/QF1WiAdeE1U+/hDBzXP3v4nw\naKL3aOKF/ZSCw6kYFk3HR01R2ApgdEgIEzKr0AwJo247vO32O+jV9TJLsTTPItLv55NPPsmjR48y\nKTdfVBSVArpr5vPqaydcyO1dJosXL6bed3SlQgHD8+vKccOGDfTbNtsCbA3Qb9vctm3bRTm3S2Dr\nr5FAIMDmzdvSNKsRGERFacaYmESeOnXqgq+1ZcsWOvHJgmh4wSOE7mFpNaHIlZxLYAptO7TMw0WS\njdp1IO58phKFStNWXvIIeOtscNRVwxgVFU9ZbkzAR8HbJzjEPI7J6rngg7eBg3qCUREQRpNhij/b\nYXpKuf7hETA+BhTVztcSmk1UqU606kY72OLiuaBhqASiCTOYuHIGkZZLzF4qzm1HAWH6Kaol+xFa\nLQI6+wAcDNBje8S6TdoTrx2kbJisB7AqVFZxjbR8WWYIQBUpLE+6b0YglbJch6lJEjesBZ9+EPR6\nQIyYSfQYTikihtHpmezXuzfjLYuDAHZ2n9PFixfTkWXKEB65Uh10LUDV8lDLrsnqLshqD9ALMNU0\nuXLlSp44cYIbNmzgu+++y0AgwOLiYu7YsYNbt27l2bNnuW7dOjpOHIHB1KFygDtPvG7Q8xv65Lfk\nnXfeYbLPV6kFUILPx/fff/9CbceLKpfA1h+QV155hR5PEH2+BJqmh0uXLvtDx61cuZKW5aPfn0HL\n8vGuu+751bGBQICTrxtHxwY/21r+kE8ejTKloyiNeNNNN/Hee++lZdWtACRmUSSmawSCCXgoyyY9\njsRObW0uWLDAZZbvR2A8DaMGExLSqetxFDwwdQgEUTCu2zQMlXfcfhtvvvlmityl5gTaE8ilSBwV\nSgswKEl6BUA5l0AoRVVg6ev+DAmJpiaXnl99irwHlUA1SrpJWTepenwMs2waABXJYUqixPdeArf+\nG0xLsdm9dy86CSlUB0+gk1eLXfr04/XXX09ZrufOF0ogSuRxAYQkU5JMivyI/pTgoaqCWoNWwoJc\nvoFmWARjU9MIw6Tf9nCMay35K3ix6qgqW7ZsydWrV/O9994T3FtXTBU/Dk//jwBaA8dRCgplYm5V\najUaCgW7YiMRkyiIEPeSePhNqrpBTVaI624R771ygLo/hLJkMhQqx7hrtgWYmVxOWrtg0S20s6oK\nmolbHqMdGn7RAM2yZctot6lATfHsbvojo351fLvmzStVDF0GsFfXX+do+k/kEtj66+T06dMcPfoa\nVq1ah9269eahQ4f+4znfeustNm7cijVq1Oddd91d5nG/ZtJk2pEx9DdoSSsomNOnT6dh+FgxKuDz\n5fGZZ54hSf70009MyckXPVJL9+m4+ezSxeLHm4W+mD59Oj2eKq6+iqZIvPdQUQyahswf9wv9GjgM\nZmeAaNCGyK5BNO1IXDOftgXeezN4dDd4xzwwNBgE0lxdKUJ5WWnghxtBx1ZYni5yneDsmr1U5FZm\n5FP1OTRN0DRATVeJ/AZUdYOWC3IwaIKo0r5iMpFVg4Du5pu2p4Z40ddWkglZJ9CD5d6xNAIN6Pep\nfPNp8X1++Ahs2lglHI/Iu12xkZh6O+2QUE6fOpW18/PZomFDbtmyhe1atGBdSeJsiBwsH0TT62yA\nav3WVDWjUupEAsCUhISfVT6fPn2aDWrXZrTjMMHrZZWUFF5//fXU9dLfgb7UESQKjDoNou839Mlv\nyYkTJxjq87GP64XrBTA8KOiiGAEXQy6Brd+RM2fO0OMJIjCEpe5ty/L/YXK1r776im+88cZvVl1U\nlLFjrmSrphZ3vwH+++FS9/UIAhPpOFF8+eWX+cwzz9DjSWK5m/9KFxQ1YXmZcRIBiaEhJmfMmEHT\nrAjOplGSVCpKCIVHK5uaqlNVZSoKGB0VzPXr1zMQCLB+/UYuSJLcNWwXdPldUKW4wKt07kgCLSu8\nvpKybFKRdBfslb6fKxRgRnVi+0lBn9BjuEgqxTQqSkt6PTojwi0uXnwrNdsReU17Sbx/hk5iKkeM\nGEFIMYJSIihK8HbppnDJmzY9JuiFwXAYbsI8yvPS9lKQ/TVsK/K2pt9J2XLYQFGZC7ARwHwHjPRL\nHD78irL78+yzzwkrNCSc0A2ieWfK3iDaqsrHH3+cnvotRJ7G/OVEh76VqgahKAIIlvITzVlGKEEE\nOhNoTgkq0yBCqRWTSAOBAG9dcjtz6zdk3Zat+frrr/+5Tfwn5Mcff2R8eib1rkME8Wt8Eu+6595f\nHd+iQQP2qqCQuwAXjQvnEtj658p7773nGnxdCPSnbcfy1lsXl32+a9cuvvTSS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BdlQoFZeXpplMWB5/HunCCyKksmxww4YNfOmll7hu3Tp27dya0PWyHPJeMeWIGCIzR3gl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\n7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, figsize=(10, 10))\n", "rand = np.random.RandomState(42)\n", "\n", "for axi in ax.flat:\n", " i, j = rand.randint(X.shape[1], size=2)\n", " axi.scatter(X[:, i], X[:, j], c=y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Locality Preserving Projection\n", "\n", "We can find a projection that preserves the locality of the points using the LocalityPreservingProjection estimator; here we'll project the data into two dimensions:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from lpproj import LocalityPreservingProjection\n", "lpp = LocalityPreservingProjection(n_components=2)\n", "\n", "X_2D = lpp.fit_transform(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting this projection, we confirm that it has kept nearby points together, as represented by the distinct clusters visible in the projection:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EAoC+wMVAA6CLiNQ9LE1HoIaq1gJ6AB/lWj3I29YYY0wRVRA1ixbAKlVdr6pZwDdA58PS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\noXZD+PQVV5PwBR1snnr9EdfXce1d8Md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Fspd+Tnx8fCm/3ZiyS0pKIikpyb+gKbOsrCyy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\nxpclC2OMMb7+H0wnCWeM1nqcAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X_2D[:, 0], X_2D[:, 1], c=y)\n", "\n", "plt.title(\"Projected from 500->2 dimensions\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information, see the [Locality Preserving Projection website](http://www.cad.zju.edu.cn/home/xiaofeihe/LPP.html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison with PCA\n", "\n", "Of course, there are well-known tools that can do very similar things: for example, a standard Principal Component Analysis projection produces much the same results in this case:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ULV6ckJAQXnxyIE88/ljungyl1HX928CgqaR8ZM+ePezdswdu6Qg9G0kNIbgw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\n3Bk0H6s1B4DWLeDM2SxyHHqweGg/bW4CCA2Gjo/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.decomposition import PCA\n", "Xpca = PCA(n_components=2).fit_transform(X)\n", "plt.scatter(Xpca[:, 0], Xpca[:, 1], c=y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is important to keep in mind, though, that these are two fundamentally different models: PCA finds a linear projection which *maximizes the preserved variance* in the data. LPP finds a linear projection which *maximizes the preserved locality* in the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Where PCA and LPP Differ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The difference between the two can be made more clear by looking at data with different properties.\n", "One example is data with outliers.\n", "Because PCA is a variance-based method, it is strongly affected by the presence of outliers.\n", "LPP, on the other hand, focuses on preserving local neighborhoods and thus outliers do not have as strong an effect.\n", "\n", "First we'll add ten outliers to our original data:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "rand = np.random.RandomState(42)\n", "Xnoisy = X.copy()\n", "Xnoisy[:10] += 1000 * rand.randn(10, X.shape[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute the PCA and LPP projections and view the results:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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M6MqV+XLaNGrWrFkyD0hKjJLeolNsFhGR4qSkV4FVJOL1PO00ZkyYQD4+aZ2O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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Xpca = PCA(n_components=2).fit_transform(Xnoisy)\n", "Xlpp = LocalityPreservingProjection(n_components=2).fit_transform(Xnoisy)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 5))\n", "ax[0].scatter(Xlpp[:, 0], Xlpp[:, 1], c=y)\n", "ax[0].set_title('LPP with outliers')\n", "ax[1].scatter(Xpca[:, 0], Xpca[:, 1], c=y)\n", "ax[1].set_title('PCA with outliers');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the presence of outliers, the projection found by LPP is much more useful than the projection found by PCA." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }