{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "%matplotlib inline\n", "from sklearn.cluster import KMeans\n", "from sklearn import datasets\n", "\n", "np.random.seed(5)\n", "\n", "centers = [[1, 1], [-1, -1], [1, -1]]\n", "iris = datasets.load_iris()\n", "X = iris.data\n", "y = iris.target\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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k/Pr669GnTx95eBj7sFJkq5eQ2BK/KIpyx7kRULGADjk0MzSMpidy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vgd1uxwsvvIA1a9Z848QD9LHIx2q1wmaziQY9rZ+nm4N0nVQjQ9O9vdjdBSgC\n8/v94o1y4y03YktgMy5aej7a93TgRwt/hA/e+ADFxcVo/aBVJLaDmw+hIC8fgPKo15ycHMw/dz6+\nXPMlBAjY90UNxpw9CqGuENq3tqNwTCG8Xm8Pa8HAYQORZ8hD0pZA5+4u7O7aA36cgB3v7MQpC+eC\n4ziMmjsKz/ztWQhC9yA2n8/Xo8E2FTweD+wlJfAkkyixWNAei6HcZMLHbW1YeOWVGD9+vBgNSq+r\nnsmD8y++GF9VVqK+pgZVJSWYNXduj22W9TR3sseSqY4jN1dab7pDnrRgMCj2wumJFClqkc790XKO\nZDCk3XIBYMCAAbrOSyv6DPkAELddYcecqoEgCKLTVO08GyWROt0WN3TDvffee/jxxivgKnYhryoP\nIy8bgWXLluGGG27A+8vfw5LL/wNXqQutm9rw2OLH4HQ6Ux7/7b+9HS1FzRg8ZRCW3rYUm5/dhFh7\nHCcOnoqpU6eKaRoAVO+pxrIXlsP6vhXlQ8sxfsoJ6PyyEyXuMngMNRg9dzQAoGZ9LUr6lYqpp1yK\ntXfvXmzfvh0ejwfTp08XjwcAJk+ditc//BD1RiMOCgJiggCzy4Vzzzsv7XfCiq5qXM4mkwlz5s6V\n/ftMR6gq+We09OoRpL1ZZATV22qRyRbS7PGrFbnl1uA4Do2NjSgvL9d1DnrRp8iHrXKpFYPZOcVy\nJeJUkLqqqeqjtAsGSz4OlwPeAz64irt/X+BgAFw/Dn6/H4t/+3usW7cOoVAI464bl/ZNUl9fj92N\nu3DJAxfBZDLj4OaDeOUXr+GXP/xfDBs2DGvXrkVlZSVGjhyJrVu34tn3nsU1b/4UQQSx8aVN2PPB\nHrzx4ptwu934+1N/xyvXvQpXsRvBA0HcdeNdoj4gvak//vhjPPDUA6iY3h8dKzvw7tJ3ce+i7rYL\nnudxwQUX4KnHHoOvvh4TOQ5+joPD48EXX3whalDpoKR3aNFO5B4strlTS7MveyzU0KmnZE1VOqoY\naR2Sz7qb9Zb6yRYhPTY9w8waGxu/1UoX0AfJB0jvJgZ6Rig0c0RpN4VUv4/neUQiEVVTAFlSvHfR\nvbj1kltx3MLR6NrjRc2ntfj98sW474H7cOEFF+Cvf/6bplK+IAiA0P3f0tGlKB5QhLqGOny8ZzkK\nRxai8YNGLDj1hwgHwxgwqwLFld0icsVNFXjhs5fEkvy1C6/FyTNORnt7O4YNG4bCwkIxVWDB8zwe\nePwPOOPp+lLGAAAgAElEQVTPp6FocBF4nsdrv3gDa9aswdixY+H1euHxeHDuuefC99FHKDSZUFxc\nDK/JhC8/+UQ1+RBSuZzVgh4siqaCwaCuGUJ0LFSpC4VCulsj9A7Jl/MIaS31p3M3qxHMs+RzGCz5\nKLmcWb8OG6HQXtVaQG0ZVMFKJ3CzTa+XXXoZ+pf3x7KPl2FlzUpUzh6Ic587G8koj9fOfx3/eOof\nOO/c87D4gfuw/0ANjh99PO68/U7ZyKy8vBwjy0fhw8VLUTqlBNWf7kHgQBDbndtw0WMXwmw1I3h+\nEH9Z+BcUu4pRk9iPExYcD6fLifptDSgqLBId26FQCBUVFRg4cGCP69fZ2Yl/PvtPNLY2wMbZsX77\neuyq2Y3ofVGcf/d5KBxYAM8AD5qbmyEIgpiieQoKELTbkfD5UF9bi06XCyM0jJ+VQs7lrLVKww7o\nYneU1dNwSmNctFbG2GurNdqQfl56TGrXUhP1yQ0zk54jx3W3VowdOzbtefcm+iT5yOkx5Neh0arS\nCEVtQyrQM2pifRhqjo+NyE488USMHTsWS1d8hIk3jIfJbILJDIy6ciS+/PBLPPvCs3BPd2HQTVVY\n9dIqXHr5pXjntXd6/C5yXN9+8+248zd34p233kPZ+FJYhplQ76sHZ+z+2RhiqO86hCHnD4bwvoAn\nLn4SQ8YNRbA6iPvvuF8cC+tyufB///4/PP/m82hsbgSiwOzps+ELemEZbUFjexOq11Rj7q/n4IRR\n43Bg8wG8cterOPOWM3Doi0MYt3icGAm2tbWhsa0NH9TUYLLZDHAcNvt8mNW/P9ra2gB0Wxiqq6tR\nW1uL0tJSDB8+PO11jEajWL50KVobG1ExaBAmTpok+q60RDEU9ZCgrLWsTveXUnlez0hXtY20alLN\nVJGLVrFbGnnGYrEeZN3Y2IgzzjhD05qZok+SD9BTj1EzIIy+kFRfKqVYFDVpHVxGv0M6f7lyQBUO\nrDyIAdMGQBAEHFpVj+Gm4Qhwfky9Ygo2Pr0JnB3YuHkj6urqUFlZeUTnelFREdZsXIOhpw9BXn8P\nRp4yAi9e/TLWL/0KY2ceh4+eWwqb24YTF0zBiT+cgo/+tBTYxOHhPz6MvLw8cf+lDz/6EC+vfglD\nbhqE0e4R2PVqNdZuXQOjyQjjGiPyxuTDyiex9cFPsdNmx8CLR6N+WwNW/eZz3H3zPWhsaMCiP/wB\nvs5OdNTXY6jVikFGI2psNpw0eDDKOA6P//73eOHPf0ZMEDDohHHYULsJJeOK0bKjFRfPvRhXL7xa\n8Romk0k8/uCDCG/bhmK7HcuXLcOh2lpceNllGY3eyJQ8tFbpUt1nakaBaHU3SyMXum+1+oSkgrkg\nCNi/f39WcGZBowrIu5BuQJhS9QpQjprU+lBYJJNJeL1eWK1WBAIB3PuHexGJR7Dxr5vRsLIR8XAc\njogTP7j7f/Dx/36Mf5/6PCb/YiIMFiMCvgC++uorlJWVHdGe8dobr4ErBqrOrkSkPYIP/7gU5SPL\nsfrhNXj912+As3Gwui345MlPMfe6k1EyogTGdhNKSkp6jIh958N3UDA1H/1PLIct14ZYKIGWzS3o\nqu/CnLtmo+79PRjaGsbkSaWIx4AvXtyK4pwivPXSW+jo6MAvr7wSpzoceH3vXpxhMqEjGMRIux3b\neR5Fbjfe3bIFVRyHMysr0RII4KGlr+Mn712DkkElCHUGseSKJZg7ey4GDRok+13V1taidccOnH64\nP6wymcRby5bhrPnzkZ+fr7tFQk9ZXcnhrKZKp4Y89M6VloOU0NhxMHqMiiaTSawQX3XVVQgGg9i3\nbx9KSko0r6UXfYp86CLSHuzUSKplQJg0dE8VNakNX9l+LpoJ3dnZifMuOw9DFgxCyelFKI+UY5Rn\nFBZctgDTp0/vfoOGEpj266k48eYpAABnkQNPP/805s6d26N0DgCvf/QaTv3VKYAHKJ9Qhra97dj9\nf9XIK8zDyb+bg/zBeQiFgvj8D1/CYDSg7sM63HXdoiO630PBEAJNhzcs5DiEW0NIxJKIdsUQ9kUQ\nquvE6AI7Wja3wGKzwN4ZxYDTpuKll17CZ8uXo333boQrKxFPJNDPZkMwmYTfaEQsGMTGhgY0BIO4\neMwYcX2Hxwre2m1edOQ64KnIRXt7O4qLi8UH/41XXsHnS5fCbLFg/MyZMDHRptFgAIev9Qt6y0s1\nGLXaiR79RQ5qBFu1kOt4J5OgVrDu5ng8npG7mY5t6dKlmDNnDi677DJMmDABS5YsUTUlM1P0OfKh\nQfJ0I2qZns9WyVL5ddjfl04nSiaT4mB7u90uRizLli1DweR8TLtpGgCgfEI5npn+bzz9z6fF3zP+\n+Akw538d+tvz7eiMe2XNj4IgYFDlIHTFu9C2tR2J9jjmnDgHb618E7MnzQAEAXFvAu4iN7xLvbjn\nF7/DmDFjjjjeubPm4k8vPoyVHZ/BaDeicUMTkp0JXPPDa/D2v9+CwcAhbLbAkUwil/OgI94Mw4YN\nePT99zHK4UAkGsW+3btRmJODL/x+FJrNKB4+HFs7O3Haj36E5AcfoM3rRR7HwRuNoqPeiz0fbUfF\nlP5orw3AV+tHZWWluA/WW6+/jtVLlmBmaSliiQRW/Oc/MOXnY0N9Pcrcbuzt7MSwSZN6CPGURrER\ng57KWKYlfjoWOULU2hohTevIOEmCt1aQ1kUl/0y2aqZNBFavXo133333WyEeoI+RD9B9UV0ulxj9\naP0sRUzSapjSzytFPnJzegCI2yDLvXGluPIHV+L6W6+Hq8QFg9mAFbeuwn233Sf7szPGz8Q/bnoS\nFadWgA8mIezicDBxEHmD8tCypRUV0yoQ7mrC3pV7Ec2NoaCgQPbYL7zgQqzbshbVbXsQbgmhMFmI\n2+65DdOmTcMpc0/Bv5c8iw3LV2JIUSHWNzWhrF8/DHS7MaCzE/nxODylpdjU1AQuHEa8oABCRQVs\nVVW4++67MXr0aEydOhX33nYb9ra1YV11NeZaXNj94FfYZFqHUCiOn137vygqKhK/v61r12KsxwO7\n0QiXxYLhVitckyfDbDSivr4eo2bPxunz5vW4JmtWr8aWNWtgczox67TTUFpaqstLQ99xpiV+WofV\nlchjo8cjRCMtDAaD7sisN93NHR0dKCgogN1ux0UXXaT6GDJFnyMf+kIp1VELEoKVqmFykEu7WH0o\nle/n1FNPxYOPP4jPH/sC/Ub2w1d/24AfXvZD8QZKJBKYM2cO7vnVPXjqt/9Ekuex6KZFuPzyy49Y\ni+d5PLfkObhGOxFpiyDUEkTjjmZUVVVh7GXHYfPTW7D8jo9hcVkw686ZsBisuPKaK/D2f985Yi2b\nzYYH730I27ZtQzgcRmVlJZxOJ5LJJKZPn44ZM2bA5/Nh//79uOe22zDf7ca2lhYEBAEWjsPwnBwU\nFRTgQFERFv/pT7BarYhGo6ipqcGOHTswatQo/Pnpp7F27VrUP/AA5hQUYL7FgnAyiY1NTcjLy0M4\nHIbNZuu2MOTlwd/YiJKcHCSTSXRFoxhYVITzzj9fPGbaggcAPv/sM3z63HMYlZeHUCyGZ7Zvx7V3\n3IF+/frJDtZS+/DLlfj16CW0TiQSEfuy9A4No/Ng50qrTeukpX45E6bSBETpGkfD4wP0QfIhoVlL\n6Zx1OZvNZtUuZ+nv0FJVKywsxBsvv4E//eVPaF3fioWnLcSZZ5yJq3/2U9QerMXkE6bgV7f+Chdc\ncAEWLlyY8oZqbm5GS0czrv3r1d0/xwGvXvI6Tuh/At54/A2MunwEgh1BnPPU2Sgq7Qer1YqNf9mI\n+vp6FBUVHbGe0WjEsGHDekRtnZ2d4r/n5OTg+OOPx+xTT8X6d97BuIICvFRXh7ZIBMMSCdQZDLh6\n4UJYrVZ0dXXhlp/9DIa2NkQFAUUjRsBsNCLc3AxfZyeWdnRg/siRCCcSOGA240fjx8NisYiGuwv+\n53/wyG9/i/aDBxEXBERKS3HC+PGoqalBfn4+cnNzexz72k8+QZXTCV4QUJ6XB39DA7Zv3445c+b0\n0HLoYdVacpamPlRt1NquQdoSx3G62j7owZcbGKbG8Cjn8cnE3fxtV7qAPkg+BDXkI90Gmed5XRvE\naamqsRaAAQMG4NE/PgoA8Pl8mHTSJFRc0B/9zyvHO399GwdvPohH/vhI2t/vdrsRC8URaAnCVeRE\nIpqA96AXF990MSZMmIC/P/U3+A8FkOPM6a6ytQQQ6ggfMWhMbdRGuPrnP8fjkQje/fRT5I4YgaFj\nx2JA//6YP3kyjj/+ePA8j78/+ijKmpsx2mYDLwh4bflyFJaWYsH48fAWFOCxL7/Ew9u3Iy8/Hzfe\neaeoQ1GndXFxMX51//3YvXs3DAYDiouL8dA99yDa2oowz+OCH/8Y8849Vzz+7Tt2YMXWrfCYzUjY\nbBg5ZEiPqILVcth9r/RUxkh3yXQKolzbh9aISs6Hk2qutBZ3s5LelY18JGAb5ZR8O1KXM5kEqV9H\nK/x+f1p9iCCXqsViMbz33nuwV9pw8h9mAwCqTq7En4r+jN/f83vFaYYEp9OJG669Af86518YdGYV\nmtY2Y+qYkzBhwgRMnDgRl1x8CRbdswivX/wGyqaU4cCKA/jFtb9AXl6eeH3SRW2hUAjt7e0oKioS\now273Y7bFi0Cf+edPdoDAoEAHn3wQXyxbBn2VFdjRjyOAwYDBADOSATWwzcqH4mgPBRCsqAAOTyP\nN5cswZyTTxZ3dCXvkclkQl5eHqxWKxbdcguquroworQUBzo78cQf/oDaujqcf+GF8Pv9iLe0YILR\niAKjETVeLz7ftw/XyzhvSYMJBAI9OsO1Vn2sVissFktGFS2KOIiE0q2Tyo9GHe/pmk21iOVyfiO6\nh8ndPGvWLNXn21voc+RDUHI5s0wu7dJWm6qx63AcB6fT2aPsne645Cpq3YJ0Tx+I9OflQNW9n171\nU4wbMw5btmzB0J8OxTyJCPu73/wOp646FXV1dRhx7ghMmjQJHR0d4Hkey5Ytw4YNGzBw4EBcdNFF\nRzyAq9esxqI/LoKjyI5wawS3XHMLTjv1NPH3U8pK0eMrL72E/R98gAWlpXiouhoHwmEMd7kgmEyo\nC4fBHXZT7965E/5EAs7mZvA8j407duCU7dtx+29+g3nnnCOmFewsnNrqakwuLsb2lhZ8vG0b8oNB\nfP7YY/jXH/8IwWbDaLMZQyZNgt/nw1COQyPHHZGaScGO3iBBWU1vFfudak195B5+NoVSYxVIFbmo\n2XVCLUHKObil7uZs5ANllzM9pEB3C4HcbhNqfDvsw+ZyuRAOhzW/5ditZShiOuWUU/Dr3/4aH9/2\nCcqnlWHz37figgsvgNPplD0mqUuaphpOnjz5iHSKfu/MmTPF/09rPvrYo3jmjf/DkPlD8M67b+Od\nD9/Gc08/L96k4XAY9zx0N+bcNxsDjqtAx8F2PHzjQxg3dhxcLpcY3tM1MJvN2LFxI8Z5PDBwHAps\nNniDQbwUi8HA8zDbbNgdDOK5rVtR6/UiEY0ixPMQkkkIAJr278cbf/0rzBYLTmfs+kajES6XC678\nfDyxalV3lBOJwMlxKA2H4eQ4hJ1ONHR1YduOHZg1YwZ2t7ZiiIph9VLBlbZCSqfByJGHlMiU5uyk\nczgrOa61iOTS82K1pUzEcjouQRDQ2Nh41DSfPjXJEDiSfBKJBAKBgJgayU0lZH+eGlKloK2L/X4/\nrFaruI4WYZutqJHZkNzFbrcbn3z0CYZ4h6H1nx24ZNql+Mff/nEEIVLK6PV6YTAY4PF4xIdfrekx\nHo/D6/UiHo/jL0/+BZe8dhFm3z4TF750Pqrb9uCLL74Qf7a1tRXGHBPKRpYCAPIrCpAzMAe7d++G\nIAjirGKy60ciEeTk56P98GaMFXl5yDeZcE5FBaZZrXAAmFxSgjjPo3TcOPgTCcwWBEwAMBWAPZlE\nAcdh3YoVRxw3rR/0+eCOROAWBOzneRwUBPgFAVw8jlEFBXivuRlvHjqE/Tk5+OlNN6X8Pmhd+q90\n/nIsFpO9pqmus3QKoh4nfKp19JTnpeeV7hxSrUXTDwFg/vz5OHToEOrr6zWvlSn6XORDoL24QqEQ\nbDZbWt0EkJ9OKO2hkq6j9oGnyIu8EXIVtZKSEjzx+BM9/i4SiYjrU0ivtOtFumORGid9Ph84Ewd3\nSXeXudFkRG5FjthkCgCFhYVI+BJo3tOMshFlaD/YgY6aTlRWVoq/n63+WCwWXHPjjbjrxhvR0tyM\nhMuFzooKLI3F4I1EMLWyEmcOH45ALIbXvV6YrVZ4YzEYOQ65RiNcAJKCAM5oxO/uvBOb165FQVER\nfnHHHRg+fDj2bduGeUVFQHs7QqEQlgoCugQBFkFAIhbDoNxcDBg5Erc88ggKCwthMBgQi8U06TBN\nTU1499VX4W1vR7+KChw/cSLKy8uRn5+f1pvF/luqXi8t0Yt0Ha0RC7sW6T+RSERMD/W4roHuKPfT\nTz/F3LlzMXv2bMyfPx9PPPGE7sFoWtHnyId1ObOMrxZ0Y7AtEam2uEnncpamR1o3KOS47vGufr+/\nx+B4JSi9pYlAWWE8JycHI4eNxKeLV2LS1RNwcN0hNK1rwoS7J4ifdTgcuOumu3D3r+6Gs8yJYFMQ\nN1x+A4qKisROchoX63Q6EY/HsWHDBoyePBmfrVqFcDCIkaNGYczkydj7xhuYW14OPplEIpmE02bD\n6KlT4du0CU6/HzWCgJjTiS63G4FDh2DZswfz8/PR1NiI39x4I/78zDMwchycggBLfj7C4TByD/uL\nKgUBexIJLI9G8ad778WAAQPEa504PExeza6iXq8XTz/6KAYlEjD7/Vjx9ttYWVKCquHDceaCBRg7\ndmwPwVXN9yfX66UV7Do0+J3IXitxUKRqs9lUt6FIwfO8uN1zUVERPvvsM7z77rvfGvEAfZB8gO43\nsdPp1FU6py54CrfT7UbKzuhhoRQxRaNR1cckCIJYaVDToyanK6QiUI7j8NRfn8Ktd96KF05+GSUl\nJXjun8+LzYFUeh89ajSe+tNT6OjoQHFxMQoLCwFANMrZ7XZRV/jVjTcitGULwocOoSMSwdRhw9C/\nsxMr33kHjtxcbGptRa7ZjE2BAE676iqcOG0aHrrnHtTW1CBpMGDhpZfizLPOwnULFmBhcTEMHIdB\nHg/2trRgy5YtOH7qVFSvXo0iAIc4DgGjERPy81FeVIRwIoH/uf56jB07FnV1dQgEAti5dStCwSDG\nnHACRo0a1ePtLxd91NXVIdrYiK9aWlC7bx8G5eWh0+/HpPx8fLhkCSorK2G32zXPS5aK0kB3+qun\nMkbHDkBXhY31CKXSltSs0dzcjOLiYng8HixYsED1efQG+iT5UL8LzWhRC3pThsNh2Z1N5aBUOk/1\nwKd7a1I1jQasq+1RY+0FFJEkk0lFAuU4DoWFhXj+6eeP+DdWoKfxIaQv0c3KcRz++/LL2PDllygq\nLcX4qVPRuX075hUVYVNdHcY6HHiztha3zJiBva2tOOvqq1G7Zw/8XV24/KSTMGv2bESjUTz097+j\npqYGkUgEVVVVKCgogNligS8WQ47FgmQiAV8yicLCQtxx33244+c/x0dr16JTEJBnMKDQbEaLzwdh\n6FDMmTMHj//xjzi0dSt2VldjuN2O4487Di8tX45zrrkGJ02bJqZAcmV1n8+HnTt2YLrLhQKDAU1d\nXWiOx5HncsHU2QlBEGA0GnVvs0xVJ9qjTE/UQR4hPeZC+jz7M6yQrHYWNK3R0NBwVCpdQB8lH3oI\ntZTOyVxH/pJUW+2yYH+H3L5aSsemBOl+8lq2RqEbSm5So1pIZ1ETrFYrnvjHE3j1/VfBAbjsvB+g\nq6kVW994A+OcTrTs2IFHP/4YAw83LHIGA0w4HH3xPLzJJCoqKjBv3jzg8N+/+frreO2557C/thaO\neByDS0rgtVjwq/vvxzW//CWeuv9+DOB5dBoMqJw6FRMnTkRXVxdCXi8GJxLIt1qxK5nEm11dGFBS\ngvPOPRdrv/gCfHU1htntsBqNKIpGYfT5cFL//lj25puYPmOGSDo09KyxsVE0fZpMJpTn5iIWiSCU\nSMDCcci129Hc1QWj292jYKHXGEj3pt7mV5Y8tFTY5D5PUCrPK9kOaI2mpqajUukC+jD5AOp8O1Jz\nndYtTZRK56k8GHLHJNeISnqPFu8R0E2CWnvTpDOLSJ+iNV58+UW8v+09nP/v8wCex2u/ehXtn9Xh\nhoED0dHaioJIBK5kEvvz8rCzowM55eX4cP9+WN1uvN/cjFGzZ+O4444Tf/cnn3yCJY88ghEmE5qb\nmzEOwMCCAjR0dOCayy7DpT/6EW66/360tLQgPz8fs2fPhtFoRHV1NQK1tZhktcLG8xgI4LVEApNH\njkS/fv3w+gsvIG/fPrSbTDAAyLFaEQoE4GtpwZrqavxy4UKMnTIFl15+OcLhMF5+6ikYOzshcBxy\nhgzBmIkTMWDECAy0WNDa3Ix9tbWIms2oBnDxVVeJxEPpDxkM9cxxBuT3nU/nM5JrjdASvaRzN6eb\nK82aHBsaGlBRUaH6fHsTfZp82DREerGVRmZomeVMmgqla2oeeGknfLqWBq3eI47j4HA4NKUC7M6s\nbLTDVrFWb1yNCVdNQF5pt2Fv/I9OwBtLd2LHjh2wRiKwchzaEwlUTZiAFpcLu3ftgmfGDBx3wgk4\nsHcv/F4vVqxYgdmzZ2Pz5s146vHHUR4IALm5KDYa0c9gQO2+fXByHDieR+vy5Xhz3z7c/9hjR0Sh\nYQBGpxMRrxdhAMFkEq0OB9Z+/jm69u4F39mJMoMB6yMRROx2ePLzsW7DBpwxdChGejzYsHIl/msw\nIDc3FwV+P4YNGABeELBp1y4Ehg1DzogROFRdDUdREXL79cMtCxZg/PjxPdI0VjfR0tbAfpb9jrX4\njJTII12Fjf28mheTUp8X/X7SfE488cSUa31T6PPkQ5EG6+xMlZaQVpQOrCYCQPMcZ0EQRNKgqCtV\nI6oc5KIl2h1VLcg7Qg84vdGlVazCvEJ01LUB0wcDALoOeVE+dDA+3rAZU4xGtPE8jHY7dm/ahKoh\nQ1CVTIKvq8MLn32GOaWlsDkceOjzz7H6ggvw1fvvI9TYCKGrCyVeLxoFAWWxGGLxOOJOJ/rn5WFa\nZSXePXQIW7duxQknnCBem6FDh6Jw0CCsPHgQDocDzZEICior8ZObb8ZDt9+OK447Dh/t3o097e3w\ncRxahw4FV1aGcQAmHncceJ7HuH79sHT1aoyfPBnlHk+3RwlAvtMJb0cHLr7iCuzbtw/xeBwVFRWq\nNA1pWwM9vFoij1QPPPvz6V5GctEL26WuxSckFcopEiIcLYMh0EfJhwVbOme/UKUoRWvp3GKx9Oj4\nTgf60mm3STKRpQqD5cZ2sKE+ey5qBW3WJi9NsaRVLI7j8JMrfoKf3vQTdNV5AV5A+5pO3PCLm/Hw\nrbeinefhMBgwLRjEC/X1yGtpwczhwxE5XObuCIUwu6wMNr8fLz75JH4+diyMeXl4cdMmBP1+mHJy\n8HYoBKPJhCqnE5eOG9fdaHI4BaEb3mazobCwEP/7u9/hXw8/DC4ahcftxo2/+Q1KS0u7xWCDAfNG\njYIvGsUHzc1Y9Pjj6OzsxFsPPyxWPzvDYeTm56O0shJ7ly/HJJcLiWQSjZEIZg4aBJvNhuHDh4tR\ng9I1VKOb6N2kMJ2YrPZFJyUzPYPMgCO1JUEQsHbtWjQ1NaG0tFTTWr0F4913353q31P+4zeJRCIB\njuPEKCYUCiGRSMDlcomNi0qgqIgFlc6DwSDMZrMYqVD5XO1eS/Rgm0ymHmuk+gwr/pJjW+lcaFcB\nJeEyHo8jEAiIZEPVG/aBIUJiU4fc3FycPP1krHzxE+z7dDf65xdj7umnY/2GDSiNx2H3+bAlGIRg\ns+E4jkOsqwsGiwXxUAjtZjOOKyxEVyyGzZ2dmDtgAFxmM4YUFGBXIoHxF1+MR554AnaPB4m2NlgB\nbOvoQM6oUbjoBz/osc2NIAioqqrCnDPPRIvfj93bt+Oz5cshGI1wFxRg05YtEBIJbOvogLmqCnNO\nPRVDhgzBV7t2YduuXWgPhbAfwFU334zJJ56IxkAAX27bhgOhEKacdRYmTekeWUvnTQ+aNI1KJpNi\nlCgF/b3ZbBYnGLJrkNUiXRMrS2Zk/6DIXIvATevQ0DD67rVsfkCgezyZTOKaa65BTU0Nxo0bh8GD\nB+s2P6rAPXJ/yaV5y+rbjDpD0EMuCIK4PzpFKWrKkJ2dncjLyxOjCNYrQw8lC6/XC6fTmfJmYsvv\nyWQSLpdLVQc1GQxzcnLEFCvVuVD7h/SNTRFbIpEQpyqymhXwdeqgRFz3/fa32PjqqzjR4UB7NIq1\nFgsefOIJvPLii3jjpZcwIS8PgzwefLF3L8bxPNwlJfiooQHF+fkYV1iI9YkEKsaNQ3LHDkz0eNAZ\ni2E9x+HPzz6LsrIy8DyPpR99hL07dqC4f3/MO+ecHhYD2j0kkUhg5aef4vU//xmnFhWB4zgsa2rC\nvBtuAAQB67/8Eju++grD+vVDkOcx8YwzMP/CC7Fnzx6Ew2EMHTq0x9uatBqe52G1WmEymUShn7xW\nPM/3iD4oqlFjGKSdI5LJpEhIVHJXC9bzxfM8bDabrrnLgiCIY4YFQVBlvJSCRpGYzWbMnDlTvKbv\nvPPON0VAsov2ybSLdTnTW13tXFnp2y1d6RxIXVWTW8Pn82mqqPE8D6/Xq2rGjjTtYs2OFosFNptN\nFBzV6luED956C1fk5sJuNKLEZkNDZydqampw/8MPo6WhAUMaGjDE40EkkcC7NTUottlw8k9/Cj4e\nR5TncdO8eRg7dixefPZZfLlmDTwVFbjnxhtFTcVgMOD0M87o0VDKgjrcE4kENq5ejZFWKxyHCwXH\nuVzYtn497lq8GOtXrsTZAweiLDcXsUQCn3zwAaZMm4ZJkybJrmuxWGCxWJBMJhGJRMRI02w2ixE0\n7RfmkpwAACAASURBVNRAgrKW708qSieTSc0jVCl6oflB5HLWmtIRMt3j3Wg0IhwOo7S0FG+//TbW\nrVv3TUY+suiT5ANATGvIyKUFHMchGAwiHo+r8soo6TJKwrYaXQboWYVSsyOq0uc5joPdbu9RoaEH\nyWKxiMQcjUbFtFIuNbXabAgmErAfvkkjgPjZ/120CHfecAP2dnTAZzTioquuwm8WL4bB0L2bJ5kS\n7XY7brr1Vk3nIYXJZEK/0lIcXLsWicPpT1skguJ+/cDzPJrq6zG1pAQGjoPTZkOB0Yj29va065Iz\nnobDkeeLXmYAxDSbHkAtoHI4vYzC4bCuedBU0dTjM2IrVXrK/OwajY2NKC0thdls1rz9dW+gz5IP\nfaFaeqlIXyGBWk3pHDjSL0PuZJrqLzeuMhX5sCmS3W4XIzg1IE2BdCGKdACI6UQ4HBYH7bPHRsO7\nIpGIOAWAte1fc9NN+Md992FUMIgOQUBiwADMnj0bADBq1Cj8c8kS7N69G06nE+PGjQPQLV4TiZNu\nQ/OLMnlTXvSDH+DXq1djRUsLBEGAz+PBj+fPRyAQQP9Bg7C/vh6jSkoQiEbRKgiaKjImkwkul+sI\nnws9qKSdUAqkR1CmdE2rKM2Sh5YBZNLPS49Fy37xrMGwf//+qs+7t9EnNR+g+61P4lowGEw7UEpa\nOqcqlBqQEEqzh0ljUtIDiEyURG3qB6NxG52dnaqIkDQu0nWIsEhYpFEeRCqpQG9DQRDEqhcArFq1\nCqs//xx5BQW4+JJLZK8raUmRSARms7nH25RSGyrv6+2oBrpbITZu3Aie5zFixAixgdjn8+EfjzwC\nf2MjEgYDLrzqKsyZO1fX76DKIHXG084RJOwDX49hVRt9kJGTUi9aT80aVG2SNkuTsC3VpqSgJlul\ndh16eZKoLff9BINB2O12vPLKK4jFYrjuuuvSnnOGkL0gfZZ86CID3YJwXl6e7M/Jlc5JGFbbYkHp\nFT2o6d7qlEqxNxArSEtF7a6uLrjd7pTRD739AIhbohDpSFMstQ87SyJU6k5HgBRZSUlLCmlqo1c8\njcViYrXRarWKojRtf+R2uzVNNVACuy6VwkkLYv+nxuUcCoWOSLdIlCYdR4mU05EHkRMA2bGwtNNH\nunubFcnZcyLB2ul04vHHH8fYsWNxzjnnpFyrF3DsCM5AepezUtc5+5l0oLcizVhRm6axnfCZ9oOx\nn7fZbGI6QDc2DTmXplhqwPpEotEoAoGAIoHR9aQepXRvcLnURg25ESgyA7oNnuxsIRrtQWbJZDKZ\n0agHImGKcOjBZEVpKjpQM3Oq/io5oZlE6XS7raYTqeVGnuoZn6rk3KaUjzSfMxSKA98GjgnyoRuD\nRhGkm9OjNCaDhVTMJQ+G2mPT2g8mJ2iz5ElpFN2wFF1ZrVbVEVyq41XSgwD0iI60kJwWcpOeN+lI\nShECO0MnGAxqJjcCRWjk9KZ7iB3sRVGIVJSWzk1WA7kxF2yUpIY8pP6gTManyg2kJxzNplLgGCAf\noGcpXG3pXKlCxorBpOuwoW46kF+DwnelIWXSc2HJh03R2CqWNMWiiXWk8+gpybJgS92RSESsYJHG\npXe/71TkRt+jVEdSQ3KUHtG6asiNkIrkWJGWJTepKA3IC8pqCIC+W2klSmt5XupwZsVutWDJjPSg\n++67D+FwGP369dO0Vm+iz81wloIe2kgkAp/PJ1agUonJqUrnNDuZ1mAjq3QgwyBFSS6XS9VbkY6H\nPk+jYekmIuEyGAyKBkYSzN1uNwwGAwKBQI+RrJmAvFNsSpMpsQFfk5vD4RAfapp7EwwGRaHVbrdr\nri7RMDae58XvQO5akI7k9/sBdFsclFJIIje6xvRSYvuo6DuiKFfrFEuaMGA0GsX1tYKOk7QvSqO0\n3gt0r9P1XLFiBa6//no0NTVpPqbeQJ8VnAGIjmCKEugmSQd6yD0ejyqHs9QVLQXr+aEpeMFgEB6P\nR9V5UDsElajpHNherHRVLLbMzfZsaQV1XVMaQymGHkE7FYgESNexWq29tjarF7FiN1XieJ5PKZYr\ngXVgk1NcziktCILqRmQWgiCI1VS9s5fJF0SVYK0OZ4p2zWYzTj/9dEybNg2ffvrpN20yPLYEZwBi\nxYNuWq2aDCvmphqnSimPnKgt18yqtEOGFER8lKIppVhqBF7SLNgqExGhGrC7bkhTLEqZwuEw/H5/\nRuRGIOGcXL2sEzfTm9xkMomiNL1UKNVWcy2VIE1LBUEQrw2rB9F3oHWTQrqHidT0TkGkthB233kt\ng8wMBgM6OjpQUlKChx56SLw/v230afKht4PWcaoEn8+neydS6f5eLHEpVeBYsMRnMplEwmLHXWgV\neIGvq0yU1kh9OFKwPhd2+xUpMiU3AktybCRntVoV9SA9ID2E/E9avTqpQOTG6jWkuZE2SIPgpdWo\ndKB7gNpBpJWxdJ9l7zm9g8yo0kVtMXoG4vcG+jT50IXVMk6VIhVAeXNBORChKE0klP5sqmOgFI2q\nWOQh6U2Bl90ZMxAIyL7xSeDVUqpnS+haqkxSz46U5KRRBZW69V4DNkUiDSkajfZozM2U3KSiNP09\nuc7NZrMobKt1ObPkka6snurY5I5TjcOZJZ+jWekC+jj5ENSQDxupuN1ucesdtZBqH2obQKXVHLkq\nFkU+FCKTmJkpqKxLKRMRpsFg0OSGljs3ijqpypTqgWajJdazIwdpyqS1hC6tmrndbvGYaFtmdoZ1\nb7zVKeKg9hYiHkrt6c9q9tGSa49QKqtLr0mqSFuuMiZ3LDQL6GhtkcyiT5OPmgFbbKTCjqpQGy0B\nX7tGeZ5X3QBKuhJ5imhDQekYUzbFogclVbSiB6wxjxU0lVIstaDUi0rdbLRC588KtGpTKT3+IOBr\n9zUARZJjm0vZY1YixEgkguXLV2HXrjrk5DhwxhkzxJnGLBlQsUOuc55mA9G/y2k5zc3NaGlpBSBg\n5MiRR9xjcuQhTSPVDBFjo2LpIDP2Z5qamnpsv3000KfJhyCnsZCWkWp2cjryYVsz6O2jNg0gcqMS\nLJtrk5GNKi9yAi9FFb31hqbQnQRNaRtBJmDJjYx5lI5Iow8tUOMPAnrqVmoIWy5lUtLGli9fhR07\nAigvn4JQyI9XXlmOK644R2z1sNvtPb4bKblRqv7556uxc+deuFxmmEx2xOMcSksLMHPmiWhpacET\nTyxBa2sIVquAM8+cjnPPPV1xkJkSeZBYrAbSyYW0xxj9jqNtMAT6OPmwpjDW5SzdsUKOMGjYkhxY\n4qLWDC0eGiJC0kSkVSzWzq70oEgf6HRvaCVItQ962/a2wAtAXIMIlx7oTNeVMz/SubAOZa3ivBpt\nbNeuOhQXj8e2bbvQ2tqJQOAgOjr+hmjUCLfbgYsvPgMjRow4Ym1KH0OhEJ588jl89VU7/H4Tamu/\ngsuVh/Hjx2Hz5lZs3boD+/bVYvduATZbBaLRNjQ3v47x40dj4MCBKa+JlDz0pOpSXQkA2tvbj+p+\nXYRjgnyA7i+DbkTWnax04yu1WLDExbqT1URKwNfaEtuwBxyZYql9UKRvaC0OXlbglUYfcgKvnuoV\n+/vY3q90YrceSPUg+r2pJgyoAauNEbkRIefkOPDll2vQ1maC3e7Bzp3L0NBQhAsu+CHa25tx//1P\n4fLLz8T06dOOaHPhOA6tra04dCiCZLIYiUQzwmE72tujOHhwKQYPHoxt21rQ1FSPESN+DKvVDp4f\nhIMHP0B1dTU8Hg+6urpgs9lQdHiioxQseVDUqbXXjSJVeunOmzcPNpsNnZ2dqr1q3wT6NPkQqEwd\nDAZhs9mQm5uruXROeoEScaWbCshqSzSAi8q7HMcpplhqwL6h1UQregVevT1SrDGRJVU5Pai3yras\nLYHsCr2VPtL1i8VimDFjPF577SE4naMRDnfC4bAgJ2cYDhyow969zfD7bXj99fWorW3C5ZdfJH73\nDQ0NWL9+K1paWrBnz1bs3OlFINABjstHLMbBbq9Ee7sNLpcHkcheBIMBGI2mw96n7vvl1VeXg+ed\n4Pkwxowpw9Spk2TPkRWl6V7TM9iehPKlS5filFNOwcSJE7Fw4UI88MADWZ+PFMTyVOZkLebpwJoB\n2QZOJeJSErWlRkNKsch4Jj22TL7EdNFKbwi8aqpXhFTGRAK5xtUKvKnACsrUukLn3JvpI5FoJBJB\nYWEhxoypgtvdH05nDtavD6K1tRO7doXgcFTA6ezEwIFj0NDQif3792PkyJFobGzESy99CJttIBob\nDdi0aT+SyXIA4xAOb4cgABbLKMTjPlRWnoBweB8SiV0IBsuQSPgwcmQODh7sQGHhWLhcbgiCgG3b\ntmPo0La0vVYmkwlWqzXl1jxKIGnAbrejuLgYy5cvx0cffXRUiAfo4+QDfP1AUolTy+eSySS8Xq9i\n97v056VpF1u+Z+evsA5VeiBpDEZvvKHlohVyCWcq8KqJVtJ5duTWlRN40+0ywv4+JUE5lR6kF+TF\nSiQSyMnJwVlnTceHH24+7Gjm0d6+DuFwDgyGXRg3rhL9+vXHoUN+0eW8c+ceJJN5cLny4PfXIDd3\nEiyWIBob/TCZqpBI7EYy2QW32wJBiGL8+FGYOHE49u1rQGlpCS666Gx88MEXsFishyMhM4xGW9rm\nZlZXlIrS1I+WzoNmMBjQ3NyMkpISlJaW4sorr9R9HTNFnycfevDI36EGFC1RD46aiYZs5CNNsVhT\nGN24UqMgK4zqffNLj4fCarZ8rvaBToVUYndvCrxqDH9KKZ0UrOuYHRan5ToreYTmzJmF/v3LsH9/\nHdraErj00mtRU7ML+/c3o60tgTVrVsLt9qKgYCZCoRA+/PATrFsXgNm8GbGYF6GQHx5PIcrKctHV\ndQDBoB+CsA+hUD4SCR4XXXQaZsw4qUdxoqJiL+rr69GvXzm6utrA89600zqlPh/pzB52fIfc9ZZz\nNx9N9HnyIVJQ49th3cU0mEurwzkSicjud07+HKX+Ibm2h0yIQjoSwmAwiClTpm9+gjRaIdGdSFXv\nsSuZH9ljZlM6aTlbCWyElW5YvhTSFPKrrzbg3XdXIpnkMW3a8Tj99LkoKirC2rV7kZdXitzcIkQi\nK/DFF58iEMiF0Shg69ZbEAyG0NoaQCxmRyiUB4sFEIQa7N4dQTwOCEIAdrsT/foNBdCOwYMHwOPx\nICcnRxTozWYz5sw5CatWrUVd3RY4nVacccZJ4j2mRNZKJkO5mT1yvV59yd0MHCPkA6R2ObPuYnbo\nO5XP1TxEVBmjsJ7K6ZRiqRm2pVU4TnUucnNvpG9+raMplMC6tVMZOrWCFXjZaIX2j9drhJTzBylF\nWHIpZHV1Nf7zn1UoLBwLo9GEZct2wum0Y9q0qXC7zQiHfXA4crBzZyMsln4QBA8aGjoQDscQjzsR\nibTDaAQMBh48H8DgwR7s2tUBo3E0ADOi0b0IBLwYNmwSBMGNhoaOI46Z53mcfPI0MZomWYFmlkvd\nyem+E1aUVtptlV6kjY2NR3VwPOGYIx8pmbC6jLRznT6T6gFlUyz6AoGvZ+zIpVjpoLfMzQqucr9P\n+ubXMlwr3e8jgbe3eq/kjpkiN47jMuptI7B6oFyEJTfFEACqq/fh4MF27NixDABQWJiDrVv3YNas\nGbj00rOwZMl7qKnxwufbjpEjz8O+fRsRCHQgEhkOnj8IQRgDno/AbC5APL4dDQ31sNmmw24vRjAY\nQywmIBKpxcCBlWhvr0Ze3mDZY1ZySlOhhXVKsy8Htddbus87oampCVMO7+x6NHHMkA/7BqD0IF0D\naLpoiYyGlGLRzWC1WsVB35l4WKTCsZLLVuqhUePgzWQMhjSlY9+wmfZeqfl91PHfW9UraQmd0mSl\nqmB9fT0OHvShpGQKOI5DTc0GDBnS/Sjk5uZi8uSRqK9vwObNxWhq2orW1v0IBqMAjOC4BAA7eD6M\nWKwBRiMPkwmIRHxwu4cACEAQ4rBaE2ho+AqjRzsw5f/b+/KwqOr2/fvMsA6bCyJo/gjXIslXzX1J\nfK1cEFyywnB9zb0SXtdSydTENEvcyFzTzAVf18ItFUxeta+ZWuoLZZIKyA4zLDPMzPP7Az+nwzj7\nHFbnvq6uK4fhnM85nPN8nu2+n24dDa5Z2DXONihGphZKslgaBrOcIQurWd8UAHvYZQ2EIt+s7dwY\nAdRQCCEskbMQC6igPQgfBjF2Z+FDwLwVMfSTActlMIiI/66x8wlL87Z6WIYSymJWr9iaGcuceXOG\nKkCOjq5QKtW4ffsmAMDVtQQ+Pk1RWlqK2NgtePBAgoKCPKSk3EN+vgJEbgAKwXG/gkgJ4AE4TgoX\nl0bguIf45z+74cKF25DLpY8NxW307t0N/fq1w8iRofDw8DC4bqGXIuzDYoaH/S1ZLseUJ68LlpRm\nz9k777yD0tJS+Pr6WnB3qwa13vgIHxyO43i33RwCqK7nI+RyCbtV9YVYbHcWq3tXNwkrLKvaauTM\nSXYLVf7MPZ8tHpapHiGxPSzh+dzc3PRKbAAVSoDZ2dlwd/eEv38HEGmRk3MNQDlu3ryJ1NQylJS4\n4Pbtu/D0DEZhYTpksgaQSm9CrZY/bqlQgoiDk1M+unf/B+bMmYk5c4D4+HhoNBqEhEQhMDDQrCor\nu8/6jL2QOc88IUt7e4RwcHDA6NGjMWXKFAQHB2P16tXo3bu3pbdaNNR64wP8bTQYpcFcCUsWnumS\nUM2pYrFdU5izEaPCxIifYstr6Ctzs5yNOVwzU2s218OypEdIDA/L2PkKCgqwd+9RPHjwCI0auSIv\nT46SEiAt7S4aNmwEjSYVAIemTaVo1qwFHj16hF9/TQPHNYJC0RBabcVL37BhABwd76OoSApAAS+v\nADRr9gKcnPLQrl1jeHl5wdvbGwsWLLDovuq7H8KkNOvoByreAdZ2Yigpbeo+SSQS9O/fH23atMGU\nKVPw6aefolevXvYmQ0NgyTf2cjGDYQ4YZaKoqAhA5RDLnCqWsHvX1gqTbsjDekws6Tg295qZh1VS\nUoLS0lJIpVKr5n7pwpSKoqEErynoq16Zkw8yJrFRUlKCuLg9UKv94ePTDocPfwUXl2cRHPwKCgu9\nkZZ2CUOHvgKp1AEFBX/Bz88bFy/+F0plOjw9fSCRFEOjcYSnpwRq9X04OpbD09MRLVq8jEaNpNBo\n5FAqs/HWWxHw9PS0OfkvBEtKCzlu7PlgagUsp2Wqt4eB5UrZwMCIiAhERETYtE5bUeuND/D3jVcq\nlSbncTEw5UDG9mYQhliA6ZBHjAqTsZBHt+NYDA9Ld/Qui/fFGL+j62Exw6nRaCymfejCXLVDcyQ2\nsrKyoFA4oEWL/weFIh9OTt7Qaj1QXq5Gq1aByMm5iaysX+Dl1RBBQb44dOgUfv75LsrLCQrFdXh6\nSqFSydGkiRe8vPLQpk0nKBSF4DhveHs/C4XiEYKC2qN9+/a8BycWDUTYbsGUDdmzzzwhtVrNH58p\nZBrTcWaeT0ZGBvz8/Kxal9ioE8aHMdpZGGUMwhCLPbSsX8dUo6AxsN1ZyI8yRaQ0V4dG18OyNv+h\nG4J4enry6xabgc4Smcx7Y6GYGMRSY/kg5l2Z8uYqZmQpH4fqriAqAVEpXFycoVYrERDgg8mTR8HH\nxwfbtu3BxYv3wHHNoVRqoFLloW/fbpBIChEa2gOdO3eGp6cnHB0d8dNPV/HgwSM0a9YePXp0rdQK\nIoZMLEsxAJW9OUalsHTGGAPzfDIzM2tFjw9QR4wPgzGNHuDJKaRC7WQmRK/buGcphCVSXelS3bVY\nop9sq4dlaPwwO7bYAma6CWUARu+HpdCXDxJ2YJtau5+fH/r0eR6JiRchkTRAixYyqFTZyMj4CURF\niIgYjDZt2qCsrAxJST/B2bkjGjb8f/D0bIeUlFMguofp0yejVatWlTyZ3r17Gj2vvska5tBAhBuH\nvg2CeTbMwxLKpAqZ/wD0JqWZCmJt0PFhqBPGhz3Ihvp2hFNIWZmSyQc4OFSMHmbET1Pq/ubCkKFg\nIZ0t+snCCpMpD8tYz44uxBAwM+bNidX8qAvhpqPb72UMw4aF4IUX2qGoqAg+Pq/C1dUVOTk5aNiw\nIV9qlslk8PT0QEFBKcrL1XB0dICnpyf69n0J7dq1s8oD1TWcpmgg5sjDCo/N+tqESWnWpKjVavmW\nA2GDIQu7MjMz8eKLL1p0PVWFOmF8GHS7nIVyGU5OTry3o1vFElZ9xAw99JWiiUg0eQ1jhsIYDcMU\nrBUwM0U6tTZxbAjspSSiSh3Y5o724TgObdu2rfSZrmQFx3EYPvwVbNuWhMJCNTSaMjz7LNC3bx+z\n5VuMnd8YDURoyC29T7phHlNeYD1D7B1hSWmg4pnJyMjAwIEDbbousVAnjI+wy5n90VijIKvu6Kti\n6b6UuqGHWOVzFt6xdTKejhi7vi6RkjUssgfO2h4hYeLYlKEwJNVqCMIXQxiKWTLbyph3Zc1oH3bc\njIwMKJVK+Pn58cnbkJCBKC9X4/LlG5DJPBAWNgze3t5GSZ6WQB8NhOVwbK1EGgrzgL+T0myjio2N\nRV5eXq0Ju2r1uGQG5uFIJBIUFBTwHhALsTiOqyR3AcCiTl9rq0D6XkoAVTJ+GPh7ECFzrcWoXjHo\n8yh0vStrWPrCY5hzr4XelanckSW0FK1Wi2+/jcfly3chlTrDy0uLGTPGonHjxnrDZGGFUjixw1aw\nXBmjUIi1AQKV80bCcItVyuLj47Fo0SIMGjQIMTExRjWkRYbeG1dnjA/rCmYvgpOTU6UQi+mZWOK+\nmluN0vd7wqqSPgNjaHKntRAmsFkuwZzQwxIIDQVTEQQgygtiylBYkrvShTmG4saNG9i8+RT8/Xs9\nzn38Dn//MowdO8roJqGPe2UthNVMxh8UCvGLtZGwIgsjSwMV1b/S0lL069cPo0ePRnx8PK5fvy7a\ns2MCev+QdSbsUqlUUKvV/I6sK3dhjcKfsApkSHdGF+bqJ+vL2VhTBTJkxISlV1u1gxhYxU2oCyOG\nMBo7tqEZYOyeWqvSqJtI1yfoVlBQAKm04ePktRZubo3x8OE1kwlefQqNlhoKoXKisB2BlcVZ64ZY\nnjLHcfz6iAgTJkxAnz59cPToUYSFheGjjz7CwoULq8vwGESdMD5AhWB306ZNeTlRVlY2ZQTMge7Q\nPX3hgbX6ydaWz03RFCzJ2ZgLYcjj4eHBvzRi5seEPU0sRAZs57cBxg2Fr68vNJpklJYWQyJxQG5u\nGrp0CTDrudEtc1tStGAtGYYMq65RFitJD1TIpCiVSgQEBGDdunVo3rw5hg8fDgCihXq2QBw/rxqQ\nnJyM0NBQJCUlITo6GnK5nJ/jJRY3SjiCRqFQ8F3Cwj4TDw8Pi5OQzMNyd3eHRqOBQqEwKgmrVqv5\n77i5uRn1algyUyaT8S+duV3gDKxVgclcMGImM8ouLi78z82dAmvOOVn5FwBfobEVzFC4u7sDAP93\nDAgIwMCBHfDo0Xk8epSE555zwIgRIRYf29XVlee5sb+RvnUz/lVZWRlkMhlcXV2NPjPsXstkMr64\nwDSjzQELW5nRdXNzQ3JyMoYMGYLevXvj4cOHeP/997F161aLrrkqUSdyPkCFRY+JicHy5cvRr18/\nrFq1Cv7+/pUSvmKNbWHnYy8be8HFclOF4YEwFLPWu2LQTRCbCg8sSSgL82NiCZixHIqt120MQrE5\ntmaVSgV3d3ebz6EvH6RLjbDmPlmapGf3lK2juLgY0dHRyMvLw7p169C0aVObrlME6L0Bdcbz2bx5\nM06cOIHk5GRMmzYNEyZMwO7du+Hi4sILgbF56bZCq9VCpVJVathi/xYDrAVAKpVCoVDwuja2eFfA\n396b7q6vb4NhIvsqlQpubm4md2ZD3pu53goL4Vi7gDBU1ue9WbLrG4IwjHZ1dUV5eTk/t02sNgh3\nd3c4OjqiuLgYJSUlKC4uhlKpNOmxGoPQC5dIJPwzonuvhd4OC83PnTuHoUOHYsCAAdi/f39tMDwG\nUWc8H101t5KSEixbtgyXLl3CypUrERgYaPPObMgTsKUSY851CZnLulMxbYGwSY/lbKyt8Olbt6Hk\nrr7vmtvWYOmurw+64vRCjp+wFC1Gkp4dV6lU8hpNzs7OorZY6PMM2d+Wec9yuRwffvghVCoV1q5d\ni8aNG4tybpFQd0vtxnD79m3MmjULgYGBWLBgAWQymd4HzxT0hQPWfMdc6BoBJnhvzsts6XmEhkKj\n0YjWI2TqZWYvDWNjWxIWWxPmmdMCIVyXWq22udtd95kAwF+zJdK25oB1M7OmVsZxO3nyJGJiYrBw\n4UKEhoaKci6RUT+ND1DxMO3Zswdr167Fv//9b4SEhPAPhand01KvRozGO0OegFh5FV0IG9sA8C3/\nVbUzs/K5LXkP3bWbavazZmPQ5xmaC1MepCU0EHPB8lcSiQT79u3D0aNH4enpiQYNGuCzzz6r0bnr\nJlC3cz7GIJFIEBERgVOnTiEpKQnh4eF48ODBE5UroaFluyTjY7m7u5v1QgrzKkQEubxCWtOc3Idu\nBUQmk1UyisK8ilarhVwut6kKxF4QhULBT211d3fnKzVi5FWAyjkbpqJoa95DeGyWk2L5DWE1T1+V\nx9wXXbeaZ27OkN0/jUYDd3d3vcaV0UCcnJz4fJC1OUOWLyspKYGrqyvc3d3RoEEDaDQa/PDDD3Bz\nc7O4wlkbUC88HyGICD/99BNmz56N4OBgzJo1Cw4ODvyuyF4Ga3c8XVgjLWqJTIa1U1CNeQJi0UuE\nEOY9HB0deZ0ZMSkgumEe47iZQ8Uwd/3GvE5rc3+2eLRC/SIXFxfk5ORgzpw58Pb2xqeffoqysjIs\nWbIEU6ZMQVBQkFXXXg2ov2GXPqjVasTFxWHXrl2Ijo5G3759eR1oQNykoLHchyVcJVPHNufBteQF\nESvM03eNlvCuLEVVctwMlf1tFXpjxy4tLa2UAzP2t2H3j22Q8fHx2LhxI2JiYhAcHGzrpVYnVlqK\nNwAAIABJREFUni7jw5CRkYHZs2cjPz8f169fx9dff40OHTpUSU+JbiJTrVaLlng0h1luSVVJ99jW\n8NB016Tv93R5V2Jw3Ng1Mo6bGB6sLoRSFRzHWTTW2ZxjM29Zn9qh8BpdXV2RmZmJqKgoBAQEYPny\n5XBzc7N5DdWMusvtsgWlpaXIy8vD7du3ERQUhBs3bqBLly5PzBEXIyHIdn6mMcRx4sz+YscW0hKE\noZipMTXmHNsSkTHdpLsxPpaQTmErx41VkYTXyJLbYo+QZlKlLHRlo4jFgFAWROhNAeCNOWtq3b17\nN7Zv347PPvsMvXr1EuX8tQX1IuFsDPn5+ejfvz9SU1Nx5MgRlJSUICQkBNevX+fHK7MksK3t/axx\nT6PRwM3NDc7OzigpKRHl2AzswXVwcEBxcTEUCgXkcjmvC2OLoWNNc+zY+tbNQh6lUmkWbQD4m7Cq\n21hpzj1hYadCoeBFzITXyI7t4eFh8bENgRUGWNLc09NTtGML1y1sJJTL5Xzxw8PDA5mZmXjjjTdw\n9+5dnD9/vt4ZHuApCLv04e7du4iMjISvry+io6Ph6elpE03DWJ7FUiEuc8F2ewaxe0p01y2VVkzj\nNKQxbO2xjYW+1pTPbaFqmKJGVAUNRHjMkpISDB48GK+88gquXr2KtWvXokuXLjYdv5ag/pbaLUXL\nli1x+PBhvPrqqwgLC8O+ffusommwh9VYuV5YhmbC37aURYVlVxcXF3h4eIh2bCGE62YSseXl5QZL\ny9Yem5EodcvnQu1jS8rnpo5tCIxca6xFQEwaiNCjY5Sa0tJSBAYG4siRI1Cr1aK1QtRWPJWejxBy\nuRwff/wxfvnlF8TExOC5554zqwIkTKSam+y0tuTOftcY7cCWYxs7J8vTsPK5mLQE3XUz9T1bqoO6\nxzZF1RCe31JBOWtpILr0D4lEgs2bN+PQoUNYv349goKC8M033yAzMxNz5syx6tprGZ7Oape5uHnz\nJmbNmoVOnTph3rx5cHFxMcgPspUbZWl1yRBXydB3xQjz9FXOqpJ9XpXlc0NlfzHoMpa0K+gL637/\n/XdERUWhf//+mDt3rqjKDLUIduNjClqtFjt27EBcXBzmzZuH1157rRJNgwl3ibErA4alNRjEaE6z\ntEHRHEMnnBEmRqWwusrnQm+VTcIQqwdJ2MOjz+jrm3O2fv16nDx5Ehs3bkRgYKBN56/lsBsfc5Gb\nm4v58+cjOzsbMTExPIvYw8MDjo6OZlV4zIUhA2NrcyI7trmhmDXNjJZoB+mDoT4hMZjthsAMHZPh\nFVMDG3iy450pbwrv6+3btxEVFYXQ0FBERkbWuJxpNcBufCwBEeHChQuYOHEi8vLysHjxYkycOJHf\n8a0ZhWsMwp1R2NQmRgXLVLhkS/hhTSezueRcMYm2uhVJNt9KbHkNdi5mcADw/V5arRaff/45fvzx\nR2zatAlt2rQR5Xx1AHbjYwmys7MxePBguLq6onfv3jh//jyWLFmCHj168GGH2JowbFcGwHe3irXj\nA/p3ZbF0isxliFuSvxIe25YxNrr8KDG0uY2BGR82BWTKlClo3bo1kpOT8dZbb2HGjBmi/l3rAOzG\nxxJotVp89913CAkJAcdxePjwIaKiouDk5IRly5ahcePGlSaiivniSqVSUQS/9EH4YgDiGjlj4ZIY\n1ThLBMzYOfVNjdAHYR7LFq9W14tUq9VYtmwZjhw5Ao1Gg9jYWP6Zeopg7/OxBBKJBEOHDuUfkubN\nm2Pv3r14++238cYbb2D79u28dKUl/SRC6MpBsO5dxvkRCpWL1fNBRPw62eghtVoteteuUMqETZc1\nRxDfGHQ7sJnB1gfWf8V6aExVkdjkTycnJ6vE8vX1Jv3yyy8YMmQI2rVrh9TUVGzatAk7duyok/IX\nVQG752MFysrKsGLFCiQmJmLFihUICgri8wfWzD035nmIJX9hKM9SFaJXDELxdicnJ1HzKobCJSEH\nzNpqmaW5Jl0Bd6VSiU8++QT/+9//sGnTJrRo0cKWS60PsIddYiMlJQWzZs1Cy5YtsXDhQri7u5uk\naZjDBNcHWyQqTCWUq0LbWGhc2dwysStX7DzCEFJMFUhTuSahkWIG8PLly/jwww8xdepUjB079mkL\nrwzBbnyqAlqtFgcOHMDq1avx7rvvYsSIEXxSVVffxlb5VcAy6U9LGyLFSL4ayrNUlUQsULlBsSoS\n9fpyTeyc7G9cWlqKJUuWID09HRs2bICfn59o568HsBufqkRhYSEWL16MlJQUxMTEoHXr1vzLxqgJ\nYoU25vTB2NInZE0oJgwPjRlXMWfY6yaxnZyc+CJAVSXqlUolL8TPjGtSUhI++ugjREZG4s0337R7\nO0/CbnyqA9euXUNUVBR69OiBadOm4cyZMxg4cCD/IovZPq8vFANgdoXH1LHNDcWsKZ9bWrnShbFQ\n0hrenTkQKgnExcXB1dUVqampUCgUWLduHZo0aSLKeeoh7NWu6kDHjh1x5swZFBcXo0OHDti/fz/f\nScvY6GINH2QGjQmByeVyFBUVmV3hMXVsNnbYkFC+rkC9JXpC5mgH6YM5gvFMwMxSYXhj5xQKuHt6\nesLX1xebN2/GDz/8gGnTptkNjxWwG58qQHR0NI4fP44NGzagadOmmD59OrKzs41O07AFQo9EbJff\nkEQFE06zpXwuNHDmTOswZ2qE8NhiiIyxczLJFIVCgWnTpuG///0vrly5gpUrV2Lq1KnIycmx6Lh2\n2MOuKsEff/wBPz8/yGQyEBGSkpKwYMECDBs2DFOmTIFEIqk0TcPasEBf4x6AKpuuqtugKPZkTkO5\nJmunRghhKdtfV8Dd0dER33//PT799FNER0djyJAhlY79lHUsWwp7zqcmoVKp8MUXX+DIkSNYunQp\nunbtahNNwxRrXczpqrrn5DgOEomkSqQ1DI3H0UeNsPUaDN0XXQH3vLw8zJ07F+7u7li9ejW8vLxs\nWsNTCLvxqQ1IS0tDVFQUvLy8sGTJEjRs2NAimoalo3HEKO/rG+PCGhTFlNYQgoV1VdGgaCiZrq9N\n4NChQ4iNjcWyZcvwyiuviHL+pxB241NbQEQ4fvw4li5diokTJyIiIoKvGJm7I1uqnGdt/46uF6Bv\nkJ7YDYrsnMzzYexwsQ2cVqvlDb+joyPfg+Ti4oKsrCzMnj0bfn5+iImJgbu7u2jnfQphNz61DSUl\nJVi2bBkuXbqElStXIjAwUC/50ppStj5Y0r9j6TmFL7KteRldaoQY2kHGzsm8nfPnz8Pb2xv379/H\nl19+iU8//RQvv/yyKOd5ymE3PrUVt27dQmRkJAIDA7FgwQJeEJ6NHFar1aLqMhvzVExNcDAFa0Ix\nc88p5hRUfQbtm2++wYcffggfHx8cO3YMrVq1surYdjwBe59PbUVgYCASEhLQuXNnDBkyBMeOHUNK\nSgquXbuG8vJySCQS0bp19fXvsPI2y7OoVCqry+dCdrgp5jlg3tQI4dqFfU3Wsv2F52T9QLt27cKO\nHTuwd+9ehIWFoVu3bkhPT7f42HaYD7vnU8uQnp6OkJAQ3L17F4sWLcKUKVOgUqmqhBMF/B2KERGI\nCC4uLqIZOmOhmK36PtZIrerzsO7fv4/IyEh07NgRixcv5ieHZmZmwtfX1/qLt0MIe9hV21FWVoYO\nHTrgH//4B8aNG4eYmBgEBwdj1qxZ/EiZqqIMsGpPVRk4YSgGQLQ2AHNDMV0Bd47jsHXrVuzfvx+x\nsbHo3Lmz1WuwwyTsYVdth4uLC44cOYJ9+/Zh8ODBOHv2LJo0aYKBAwciKSkJrq6uPGXAVpqG7vBB\nd3d3szuNLQULxRwdHaFQKKBQKPjPbK1eCUMxfcJr+iggaWlpGD58OAoKCnDu3Dm74akh2D2fOoCM\njAzMmTMHGo0Gy5cvR9OmTW1KvJoq2YsxOUMX1dWgKBRec3JyesLj+vLLL3H06FFs2LABQUFBopy3\ntkGj0dS2iRh2z6euws/PD7t27cKkSZPw9ttvY/PmzTypsry83OyxvSzRWlpaCldXV8hkMr2GxcHB\nAe7u7jZxohiEHpazszPc3Nwgk8ng5ubGjxwWS1aU8bmYB1dcXIx79+5BIpHg999/R2hoKMrLy3H2\n7Nl6aXgUCgXKy8t5w1Pbxy3bPZ86BqVSiVWrVuHkyZNYvnw5OnXqZJKmYUunsy36O8amRuhblxj9\nO0JaibOzM+bPn4/jx4+jYcOG2LdvH55//nmbjl9bcfv2bfz73/9GXFwcZDIZJk6ciICAAHTu3Blj\nx46t6eU9PQnn4uJiuLm51fQyqhR//PEHoqKi0LRpU0RHR8PLy0tvZUk30WqtO25quqoQ+kiZxiAG\ncVTfzPXffvsNs2fPxosvvojTp0+jTZs2+Pbbb+Hh4WHRsWszWC8YAIwdOxbe3t7QarVo2LAhP/o7\nLi4Offv2rcllPj3Gx9/fH4MGDUJsbCwvsFUfQUT4z3/+g5iYGEydOhVvvvlmJZqGVCoVVdXPHClU\nITXC0j4hoddiCdtfV8Bdo9Fg9erVuHTpEjZt2oTWrVtDpVJh3759iIiIqDdKgw8ePEBqaip69+4N\nR0dH3Lp1CzNmzECTJk3w7bffQiqVYvPmzYiLi8PPP/9ck0t9OnI+H374IZo0aQJfX1/06NED586d\nq+klVRk4jsPIkSNx9uxZ3LlzB8OHD0dqaip+//13ZGRkQKVS8YlXsRoUWWVMo9FUqiyxfFJZWRlk\nMplVI6WlUmml8TXMYzMEobAYG2N0/fp1DBkyBL6+vjh58iRat24NAHBycsKYMWPqjeEBKnJz+/fv\nxzvvvAN/f3/IZDJMmTIFOTk5uHfvHogIkydPhr+/P6ZNm1bTy30C9crzSUtLQ1BQEG7evAl/f3/M\nnTsXMpkMH330UU0vrVpw5coVvPnmmygqKsLatWsRFhbGz82qCglXYVVMo9GIyj43FYrpCriXl5cj\nJiYGN2/exMaNG/Hss8/avIbaCF3toJkzZ+Lbb7/F+vXrER4eDgAYN24c/P39MWfOHHh4eODOnTuI\njIxEfHx8TaUj6r/nM3PmTAwbNgz+/v7Iz8+Hl5cXn9QEIFrfSm3E/fv3ER4ejq5du2LhwoWIjY3F\nqVOn+KoW8xDElHCVSqW84QEgqqCWsH+HVcXYcEN2Lc7OzpDJZLh69SqGDBmCtm3b4rvvvnsqDE9i\nYiKWLFmCuXPnYvLkyXj48CFSU1MBVChpXrx4EWfOnIFarcZzzz2HhISEWpcHrTeez549e/Cvf/0L\ngYGBeOutt5Ceno7s7GyMGjUKYWFh/Pe0Wi04jqtX7jdQcV0XLlzgWdi5ubmYP38+srOzERMTgxYt\nWog2ukYfNYIx0sXuwGbnYwlvIoJEIoGbmxuUSiWWLl2Ku3fvYtOmTWjevLlo56ytuHPnDhYsWACV\nSoXc3Fxs2LABPj4+mDdvHoYNG4Y33ngDALBmzRqkp6djxYoVvMdbg4qL9Tvh3Lx5cxw4cAA9e/bE\ne++9Bx8fH/Tv3x8BAQE4e/YskpOTMWHCBLz00ks1vdRqAxEhOTkZc+fOxaBBgzBz5kw4ODjYRNMw\nppAo1nRVfddRVlYGlUoFqVSKkSNHolevXjh37hxmzpxZr5LIQhBRpesqKCjA2LFjMXLkSPTp0wef\nf/45VCoVVq5ciYSEBCQmJkKlUuGvv/7C3r174e3tXYOrr4T6G3Z98cUXaNGiBXr27AkAiI2NxcKF\nC+Hg4IB3330XP/74I0aPHo2ZM2di586dfJhw/vx5/PHHHzW59CoFx3Ho1asXzp8/D5lMhkGDBiE5\nOdkqmoY5UyOEou1iCeULBdxZibx9+/bYs2cPysrK0LZt23ppeJiHDoBPG5SWliIlJQVhYWFo2bIl\nJk+eDKlUip07dyI8PBxvvPEGGjVqhM8++4w3PGKF2VWBemF8Zs2ahcTERAAVWslARbfn6dOnodVq\ncfHiRajVakyfPp2fuHDw4EGMHj0aTZs2rcmlVwscHR0RFRWF+Ph4bNmyBdOmTUN+fr7ZRoJVtsyZ\nGgGII32hyz2TyWRITEzE0KFDERwcjLS0NMyZMwerVq2qd7k8FloCwPLlyxEVFYWrV6/Cz88PAwcO\nxPbt2wEAQUFBKCkpwenTp5GUlIT+/ftj9erV6NChA290arOwfb0Ju3RdVCJCcHAwPvnkE7Ro0QLT\np0/HrVu3MH78eMycOROdOnWCVqtFamoq3wv0NEwhICKcPHkS0dHRiIiIwPjx4wFA7whmsZr/LJW+\n0JVuLSoqwqJFi1BSUoLY2NjaFE5UGe7fv4+PP/4YANCsWTOcOnUKGzZsQFpaGg4ePIiBAwciLCwM\nEyZMgIeHB3r27Il33nmHN8S1zBusv2EX8OTNVqvVaNeuHQCgRYsWOHbsGLZu3Yp//etf+OWXX1Be\nXo7Zs2dj1KhRKC4uBvD3LlGbXVVbwXEcBg4ciMTEROTk5GDo0KH49ddfIZPJ4OzszPfXMI+Fzauy\ntleI4zg4OTlV8rJ0hw8yENET3LNTp04hLCwMISEh2LNnT700PExLiSE7OxuxsbG4dOkSvvrqKyxZ\nsgTdu3fH4cOH0bFjR7z99tvYsWMHevfuzRdZ8vLyAKBuFVPYhRv4r07j4MGDFBgYSO+99x7dv3+f\n//yZZ56hQ4cOERGRXC6nvLw8Cg0NpRMnTvDfUavV1b7emsD//vc/GjRoEM2YMYMyMjIoPT2d/vzz\nT0pPT6ecnBxSKBRUXFws2n9FRUX06NEjevToERUVFfGfFxQUUEZGBn/O+/fvU0REBI0fP57y8vJq\n+jZVGTQaDf//N2/epNTUVCIiunDhAgUHB9PevXuJiOjhw4c0bNgw2r59OxERFRcXk0KhoMTERGrf\nvj3Fx8dX+9otgF77Um88H30YMWIELly4AJVKhYsXLwIApk+fjvbt22PYsGFQq9Vwd3eHo6Mj5s6d\nixUrVmDBggVQq9V8MnXjxo31LqcgRNu2bXH8+HH06dMH/fr1Q6dOnbB//35eH0dM1jlQuYu5uLiY\nH2cs7Iw+fvw4RowYgdGjR2P79u1o2LChaOevLcjMzATwt7e9cOFCjBkzBqtWrcK4cePQrl07jBo1\nCklJSbh37x6aNWuG0NBQJCQkIC8vDzKZDMeOHcPatWuxfft2jBw5siYvxyrUa+MDAI0aNcKmTZvw\n+uuvo7S0FHfv3kV0dDQAICsrCxs2bMCkSZNw7do1nDhxAmlpacjPzwcArF+/Hl988UVNLr9aUFRU\nhMOHD0OlUqF///44e/Ys/vzzT94wWzJL3RywqpizszM/Y/7YsWPIzc3FhAkTcPbsWZw5cwaDBg0S\n5Xy1DT/++CPCw8ORnZ0NAPjuu+9QXFyMa9euoX379jh16hSUSiX69u2LBg0aYNu2bQCACRMmYMuW\nLWjUqBEAICQkBAcPHqyz7SP13vgwSKVSuLq6YtSoURg/fjxOnjyJEydOID4+HjNmzEBKSgqaN2+O\n3NxcNGnSBPn5+YiNjcXmzZt5idH6ChcXF3To0AG//vorvvnmG6xYsQLvv/8+li9fDq1WK7rCIeOB\nMaH60tJSxMbGonv37hgwYAC+/PJLeHp6inR1tQ/PPvssOnXqhNWrVwP4W4UhNDQUZ86cwaVLl/DM\nM8/ghRdeQNeuXZGTk4MHDx7w7QYsJ1nnZ4kZiseoHuR8DCE9PZ3Kyspo6dKlFBkZSURE2dnZ1LNn\nTzp69CgREY0ZM4YmTZqk9/e1Wm21rbWmoFarKS4ujrp06UJHjhwhhUJBhYWFlJmZSVlZWSSXyy3O\n9ygUCsrPz6eMjAzKzc0lhUJBf/zxBw0bNoxmzJhBa9euJR8fH/ryyy9r+vJFBcvrlJeX859duXKF\nwsLCKCkpiS5fvkzNmjWjbdu28T/fuXMnn+8pLS2t3gWLD7325ak0Pgw//PADderUiSIjIykgIIDG\njx9PRESJiYnUpk0bysrKIqK/jU1xcXGNrbWm8OjRIxo3bhyNHDmSUlNTSaFQUG5ubiUDYo7hkcvl\nlJWVRZmZmVRUVEQKhYI2b95M3bp1o6SkJP582dnZdO/evRq8YnFx8+ZNmjZtGv9vZohKSkpoy5Yt\nNGLECFKr1TR+/Hh6//33ae/evbRo0SJ68cUX6dixY/zv1fENT699kZpgfBv9YV1HQEAApkyZgrS0\nNOTl5eGDDz6Ar68vwsPDMXXqVLz88suV+ofOnTuHhIQEdOzYkU9IazSaet0b5ObmhrCwMPj6+mLm\nzJmQy+Xo0qULXFxceH4XI5jqAz3u8ykpKYGjoyNkMhkyMjIwadIkSCQS7Ny5s9JwPplMhgYNGlTX\n5VU5srKycPz4cSgUCnTq1Il/nhwdHdG0aVNcu3YNd+7cwdKlS5GVlYXk5GSoVCp8/fXXePHFF/nj\n1JnyuX4s0fupIatET4HnI0RhYSERES1evJh69uxZ6Wes7P7JJ59QVFQUERH99NNPlb4jLJnWVyiV\nSlq5ciX17NmTfvjhB5LL5XyJPDs7+4lQTC6XVyqrKxQK2rBhA/Xo0YMuXbpU05dTZRA+CyqVio4c\nOUJDhgyhlJQUIvr7edJqtXTp0iUKCQmh7777jogq7jFDPWr3ePpK7ZaAJTg7dOiA9evX858TEaRS\nKfLz87Fr1y7MmzcPe/bswWuvvYb58+fz32M7/19//VW9C69GODk5Ye7cudizZw82bNiA9957D0VF\nRU/QNNiwQIVCwfPAHjx4gJEjRyI9PR3nzp1Dt27davpyqgRCT5gpOv7zn/9Ex44d+QSzVCrluVvt\n27fHq6++ynMMWXe5VqutbRMoxIchq0RPmedjCvv27aP58+fTmTNnKCgoiIYPH05//fUXabVaWrVq\nFRUWFlJ+fv4TDY31FVqtlo4ePUovvfQSbdq0ieRyORUVFVFmZialp6dTeno6FRUVkVwupzVr1lCv\nXr3o559/rullVwsKCwspIiKCJk+eTCtWrCAiopSUFBo1ahTfJCj0jupBQtkU9NqXesPtqmp8/vnn\nSEhIQIsWLdClSxc0b94cWq0WN2/exI0bN7B//35cuHABffr04TlipMM3q48oKSnBsmXLkJycjM6d\nOyM1NRXbtm3DvHnzoFQqcf/+fQwYMADz588XVUmxtiIlJQWjR4/GhAkTEBwcjNdffx0TJ07E7Nmz\nER8fj127dmHNmjVo1aqVXj5iPX1e6je3q6qxc+dOlJWVYfHixejbty8OHz6MTZs2oUmTJti5cye+\n/vprLFiwALm5ubzbzR4kxrSvj5DJZAgPD0dOTg4OHjyIgIAAlJeXo2XLlvjtt99w69Yt+Pv7iyou\nVlugjwPo5eWF3bt3Y9CgQZg6dSp69OiBjRs34v/+7//w+uuvo3nz5jwrXdfQ1FPDYxiGXCKyh12V\nkJ2dTQqFgoiIRo4cSc7OzvTRRx8REdGDBw+of//+lJCQQEREycnJtHXrViooKCAioh07dtDBgwdr\nZuFVDK1WS/369aOvvvqK1Go1ff311+Tr60uffPIJlZeX05UrV2jAgAGUk5NT00sVFcKw6auvvqLo\n6Gg6cOAAEVUkmcPDwykuLo6IiF5//XXq1KkTEVW0LtTxsrk1sCecbYG3tzdcXV2Rk5MDiUSCMWPG\nYPHixQCAjz/+GL1790bbtm2xZcsWRERE4MqVK+jTpw+2bNmCS5cuoaCgAECFvGl9AsdxOHv2LCZN\nmgSpVIoxY8bg7t27WLBgARwcHNClSxecPn0ajRs3rumligqJRILCwkKsX78eu3fvxjPPPIMPPvgA\nGzduhEqlglqtRp8+faBQKODv7w8/Pz/89ddf8PHx4eepPfUwZJXI7vkYBdvJDxw4QK+99hr99ttv\n9P3339P06dPp9OnTRFTRpRoWFkaRkZFUWFhIW7dupf/85z+Un59fk0u3w0oIvR21Wk3Dhg2j7t27\n0/Xr14mI6PLly9S6dWvKzc2lqKgoGjNmDPn4+NCaNWtqasm1BXbPR0ywnfzGjRsYPHgwAgMDcfbs\nWTg7O2PAgAHQarVIT0+HXC5HeHg44uLisGjRIjg4OPBNdGfOnKnJS7DDTNDjooxEIkF6ejpu3LgB\nqVSKhQsXQqPRICsrCyUlJejatSu6d++OdevWYdWqVZg/fz4SEhIQGRkJoH7rRFkDu/GxER9//DE/\nkC0/Px+vvPIKAODq1auQy+UIDQ1Fly5dkJqailatWmHmzJm4f/8+EhISMG/ePKSkpNRr0mpdhlKp\nBPB3IviLL75ASEgI9u7dizfffBOtW7fGkCFDcOjQIb5P55lnnkHr1q0hkUgQGBjIdzWTQBrVjgrY\n74YIYCXk4OBgzJgxA2vWrMGcOXOQmZmJcePGYffu3XBxccHu3btx5swZEBG2bNmCiRMn8gLoYmrm\n2GE75s+fj9WrV/MKgffu3cOtW7dw5coVPP/887h8+TJ+/fVXREVF4c8//0RkZCSmTp2KEydOoGvX\nrpWOVafUBasRpvp87LAQHMd1ADAUQH8AKwHcBLAawDEAx4lIznHcDADjACQBUBDRRzW0XDt0wHHc\nCwC2AbgLYDGAB0RUynHcYAATAKQB6AZgDhFdevw7vVDxN15HRHsef8aR/eUyCrvxqSJwHNcVwM8A\nggEMALCciIo4jmsLYDOAUwD2A9gI4DIRLaqxxdrBg+O4JajYEFbpfO4F4L8ArhNR+OPPngfQi4i2\ncBy3GoA7gLmPf9+e4DEBe9hVRSCiK0SkBqAEMAYVRgioeDjPA4glot8BrAXgw3Fc/evCq5vgADwD\nABzHjeM4bjrHcQsBBAH4AEAbjuM6cBz3HoAjAJiRiQHgCsDFbnjMg93zqQZwHPdPAA0AuAEYC2Aa\nEaU+/tn3AC4Q0YoaXKIdj/E4hJoDoAeAnwBkA5AB8ATwPoDBAFoAaAlgARHdqaGl1nnYjU81guO4\nkQBcABwgIhXHcRMAvEtEnWp4aXYIwHGcHyqMSwoABQA1KkLlHUSUqPNdCVDRElftC61dvdO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P3OioVZwD3V+gIAi6XGsqtdBSxpDu35RUzqxXpScM9Pv9WfFDSh6T3jCG7g1dg14epzcU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\nn5dV9teDLuNKu4KjsO7HH38kNjaW7t27M3XqVF2VGaoRvManIthsNta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79jRFZJkWsCxQmUumMgsz5KGvzTJrUeUbS6wzoOASC0VRtPvdlVIS/T3wer08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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "estimators = {'k_means_iris_3': KMeans(n_clusters=3),\n", " 'k_means_iris_8': KMeans(n_clusters=8),\n", " 'k_means_iris_bad_init': KMeans(n_clusters=3, n_init=1,\n", " init='random')}\n", "\n", "\n", "fignum = 1\n", "for name, est in estimators.items():\n", " fig = plt.figure(fignum, figsize=(4, 3))\n", " plt.clf()\n", " ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)\n", "\n", " plt.cla()\n", " est.fit(X)\n", " labels = est.labels_\n", "\n", " ax.scatter(X[:, 3], X[:, 0], X[:, 2], c=labels.astype(np.float))\n", "\n", " ax.w_xaxis.set_ticklabels([])\n", " ax.w_yaxis.set_ticklabels([])\n", " ax.w_zaxis.set_ticklabels([])\n", " ax.set_xlabel('Petal width')\n", " ax.set_ylabel('Sepal length')\n", " ax.set_zlabel('Petal length')\n", " fignum = fignum + 1\n", "\n", "# Plot the ground truth\n", "fig = plt.figure(fignum, figsize=(4, 3))\n", "plt.clf()\n", "ax = Axes3D(fig, rect=[0, 0, .95, 1], elev=48, azim=134)\n", "\n", "plt.cla()\n", "\n", "for name, label in [('Setosa', 0),\n", " ('Versicolour', 1),\n", " ('Virginica', 2)]:\n", " ax.text3D(X[y == label, 3].mean(),\n", " X[y == label, 0].mean() + 1.5,\n", " X[y == label, 2].mean(), name,\n", " horizontalalignment='center',\n", " bbox=dict(alpha=.5, edgecolor='w', facecolor='w'))\n", "# Reorder the labels to have colors matching the cluster results\n", "y = np.choose(y, [1, 2, 0]).astype(np.float)\n", "ax.scatter(X[:, 3], X[:, 0], X[:, 2], c=y)\n", "\n", "ax.w_xaxis.set_ticklabels([])\n", "ax.w_yaxis.set_ticklabels([])\n", "ax.w_zaxis.set_ticklabels([])\n", "ax.set_xlabel('Petal width')\n", "ax.set_ylabel('Sepal length')\n", "ax.set_zlabel('Petal length')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }