{ "metadata": { "name": "", "signature": "sha256:c174bb6b3844beef00847f4ba7a7fe8d34fe8ca274b290799d30124644fc9553" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com) for PyCon 2014. Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_pycon2014/)." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Unsupervised Learning In-depth: PCA and K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we'll briefly go into a bit of depth on some important unsupervised learning techniques: **Principal Component Analysis (PCA)** and **K-Means**.\n", "\n", "By the end of this section you should\n", "\n", "- be able to describe how PCA reduces dimensionality\n", "- be able to describe how K Means defines clusters\n", "- see how these can be applied to several interesting problems" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data. It's easiest to visualize by looking at a two-dimensional dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.random.seed(1)\n", "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n", "plt.plot(X[:, 0], X[:, 1], 'og')\n", "plt.axis('equal')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "(-3.0, 3.0, -1.0, 1.0)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", "pca.fit(X)\n", "print(pca.explained_variance_)\n", "print(pca.components_)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0.75871884 0.01838551]\n", "[[ 0.94446029 0.32862557]\n", " [-0.32862557 0.94446029]]\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.3)\n", "plt.axis('equal')\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FP1O9KUy3G6impoY//OoP/Ner/0VzffO4j2m0GEldn0rybckU3VGEwWsgLi2OytrKW3pV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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that one direction is very important, while the other direction is not. This shows us that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "clf = PCA(0.95)\n", "X_trans = clf.fit_transform(X)\n", "print(X.shape)\n", "print(X_trans.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(200, 2)\n", "(200, 1)\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X_new = clf.inverse_transform(X_trans)\n", "plt.plot(X[:, 0], X[:, 1], 'og', alpha=0.2)\n", "plt.plot(X_new[:, 0], X_new[:, 1], 'og', alpha=0.8)\n", "plt.axis('equal');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FL36BwWDAarXy0ksvJWTgQlytRrLwZ6iTwlBpoN2Vu/nJr37C4U8P0+xrBiNELVHC14dR\nzd2RvAJtFm8kHswByAP2gbJAwaA3QASsu63MnzqfTRs2sWTJkst+85Grldx4RIgr0HDTLXX1dbx9\nrEeVTEYOxrAxPmMf7KYg7c3tfPtfv011VzWdJZ2oOpXoB1EoBqagBfYIEATeAa4FzgKlQAgtffMn\nsFgtOHBQmF3IN+7+RnxBU6A1MKLWC6J/cuMRIZLUUPXinnYPxz49xsmmk6gmlUhXBMsUC3Vn6igr\nLounbS6txoldU9Mrep57/TlcURfRZVHo6i6TNgI2tOAem8EbgChQB8wEDgE+4Dw4zA5uXHYjj979\nKCXFJdrJyXd1rUqdDCTQC5FAieoMOdDzDOf5Y3l3V6cLY44RgKA3SG56LvZ8Ox6/B0+7hy0/38J/\n7vpP2gJthLvC6Lp0ONOdXDPrGn5w3w8IRoNa/r0nlXh6RlEUrV7epKBOUaEWqAcMYFANrPnsGu69\n416+tPJL8THKYqaJIakbIRLk0gubMLr0xEDPk+/Mx+VxDfn8sZtxn6w9SdQWjW83BrRySr1Pz788\n+S+8/NHLRD4T0aZ7RuAjoB0s8y0UdRUx3TqdvS178Zf6CUfChCNhVLcKZ4BiUBwKep2eaGUUq8fK\nrJxZ3LTuJhwpDvIy8jCEDaxZsIaCvILRvJ1imCR1I8RlNNbOkAM9j9frxe1xs+fwHvJm5pFjuJhi\n6e/5Y5U2OnRE0QL9iSMneO+99wh0Bqj9tJbGlka4A63blYJ2MfU6YD+EzoeoX1LP9Prp5OvyObXv\nFPrl3StYHVEMLQZM75rQT9FjN9vJT8vnLx/4S+bMmkNTWxNZaVmkOlIT0sRMJIYEeiESpGcpo9fr\nxd3sJkoUQ6dhREHv0uepcddgSjXRZeuKNyObzewBO0/GKm0a6xv5/Zu/p76hnob2BpSVChFHBDVH\nhT1AE1pZJGh5dx/xwB9Vo6Rlp/H4A4/z/Se/T83bNYTUEKm2VG645waWrliKQ3UwwzlDLqheASTQ\ni6SRqPz4aI97qu4Uql3FbrTT6G3ElGoCQNWrI7q5R8+SSHezO/48hu7/XWPNyHpeOO2pIKuAux+5\nmzcPv0nEGkHtUGEZEAUlRUH1q7ASOAZM07bHRQH14irV1StX84TlCY53HMfsMOMP+Gn2NHP27Fnm\nmOaMqE+OmDgS6EVSSMSdk/p7ztiJw9/hBwUi0Uiv9ITT4oznzbPysqhx13DizAmmzZiGCRNBb5D8\n7HwstuGncHrWycdSL0FvkAUzFuD2ujE7zPHtgdYAje5GHnz8QQ58eoCQGgIvkAnc1v2EfuBjIAiq\nvTuXawRaehxUBT4AomDMM5JX3WOVqgpKRLsCa7VYsVqsdJm7KExJfNXMRJ2sk51cjBVJIXYB8lLD\nWZDTX3AB4sE2lj7xBXwoKKTmpBL0BinMLuTM6TMUzCiIz669Xi+VRypRjAozc2aSk56D3WYHtNr0\n0rl9b2U32Jg+Ov4RZ/xnADBbzNhNdqwWK3XH6vi46mPa2trYf2o/XqdXm6WDFrCvBUzdX3601Mz7\nwGe0oK0GVdiPVuseBtyg8+tIz0pn+aLlPP71i6tUD1Udoi3aFk9FxUoxU3WpI349w6kWGuvF7KuN\nXIwVV42R9H/paaBPAkqXgiVb2xZLn7jr3ShGhVRSMTvMuFvcGJyGXmkUh8PBzOkzieqjfVaq6hV9\nn4DntDjxBDx9AqAzxUkBBVTVV9HZ0Yltuo0QIZq8TRz5/RHePvA2nYZOQt4Q6lQVVnQfREEL7lag\ns/t7I1r+XQ90ACmg7FEwK2asASvFecVsfGQjS5Ys6fdkpFf0OByOXn2rAPT+4d2sZLifthJ1MVv0\nJYFeJIWR9H/paaDg8unxT5mTPQcgniZRu/+LiRBBj3Zcr9dLTV0NTZ4mOjs7ifgjWt1692w+0Bpg\nqnNqr4Dn8Xl479B7FEwvoCPUQYQIB2sOUlZcRkFeAXVNdYSmhDh97DR/fOKPdEa1e7ISARaDUqig\nfqRqM/IoFytoLp3cGWMvFswBM3hg+tTpzJg1g3u+eE+vW+/1936N9V6rww3goz1Zi6FJoBdJoWcw\n6vB14G5x42/zc03WNXjaPQN+9B8oiPRswR0rU1S6/4vRoycnPYdjR4/R4mmhqasJ41QjUV+UVGcq\nx48dZ8GMBaQ6UpnqnMqHpz6kVWml4eMG1KhKq78Vi91C3ZE6FpQuACBAgBf+3wusXrgad5ub//nf\n/+GVt18hPD0My9ECeidwEG2RUn8BPhfYi5a+ib28tyDXmcvSJUspX1PO3LlzqTtTx4KFC+KvZ6Dg\nPZx7rQ6WmhluAB/tyVoMTXL0Iml42j0cqznGSfdJpqRMiS/pHyzPO1BuP9gURDWqQ+boDV0GOto6\n+LjpY7psXejQkeHMwGqxYgwYKc4o1u7KdOxtai7UcMZ7hqgpitlmRg2rtARaSAmmcH3p9aCH9/e8\nT+U7lbS1t0EUWhpbCM8Ka1UzClrg1qHl3Y8B04GTaKma5T1+979AF2CGNEsat91wG3/97b+Ov77Y\nAqz+0kajed8Hy60P9/qJ5OhHZzixUwK9SCojvSg7WHABhqy6Kcgq4HTjafbX7qepqyl+C73MtEzs\nejv5xnxOXziNLlvHvsP7cIfchHQh0lLS8DR6aKed+vfqqT1aSzAS1DpCZoBuhg7jTCPBnUGtgdgq\n+gb6T9AWObnR6uIjaHn4LiAIKakpfP1rX2d16WqWzVuWkKA+mvd8JAFcqm5GTi7GiqvOSPO8Q6Ul\nhroI6Gn38PGJj9l/Zj/6TD1Op/a4M8fOMN02nXPqOZzTnFiwkJKSgqvWRYuvhYp/r8Dj8aAaVK3T\nowJ8AXAAUYjujRJRIigrFdT3ezZ2J17rjgqKqqBz6cjJyWHldStRM1XSpqfR4m3BbrJjtphpjbTi\n8rjGbWY81Hs+nNRPjNzce3xIoBdJZTR53tEEl55poqoLVXjwEPAEqHPVYbPZsE+1EwgFyMvJo76t\nnvaadv7rxf+i/ly99gRGYCpwDdrq1LeBE2gtfk3ACgjvC2NYYiDcGYZ9XEzNeIDdoAvoyPBmMK9g\nHp8v+zytplYitgiKopDt0Ja8+vw+WjwtWBaMX/XKcN5zCeATSwK9mNRG+lF+rBUiwx3TUddR6oP1\nhNJCnL9wHqPNiBEjjUojgbYABVkFRNoiPP0/T3PkwBFtdusA8tECth4t/XIAbYb+eeANtNm9qftA\nCuim6DA7zVALofoQqqJijBopnFbIreW3cs2ia0CFc63n6Djbgc1kI2K6GHRDvhDpedod3careuVy\nvOdibCTQi0lrNKtdR5Im6HmckZxMYuWCkY4IzZ5mTFNMGFIN6Dp0tAfa2fPnPbz1/Ftai9/u+6ai\not1T9TNcrISxAkvQLqrmogX/MBerZ1TQ79eTn5nPt775Le4tvxe4uJDr3NlzfFT9EVFjFH1IT15+\nHkElSFNTE36dH4A00tChA4ZfvTLS92M077m4vCTQi0lrtAtoRpImGOhkMlhFSmxmrEdPlChOu5P9\nlfvZ/+Z+WhtbIRXtImkbsICLPdzfQ5ux6y4ZRCzvHrvQ6gE+gJRwCovmL4rfdq+uqS7+HgB0dHUw\nZ75W6x9qDuEL+qjz1oFBW7ilhBVSlBT8YT/n68/zmaLPjPr9GCq/L6mZyU0CvZi0ErmAZqBZan8n\nk5AhRMUnFfEa8wgR9pzYQ4opBavNyqeuT8nMz+SDtz/gmeefIagEL1a7hIEbgONoJZF+Lt5HNQ0t\n0Fu4WP8O2ongLeACKH9SSJ2Syv133c+GDRsGfd3RHt3IzDYzs3Jn0bK/hUAgQIY5AwWF6dOm47A5\nSDGlDGuGLatTk9OYA/2uXbt49NFHiUQiPPDAAzz++ON99vnWt77FG2+8gdVq5Te/+Q2LFy8e62HF\nVSBRC2gGm6X2d9JwN2utDWK8Xi9nO8/iUT3s/3/7+eVvf0n7hXawAylABtqNsJ1o907d1729J2P3\nfpXA59ACvQd4F2iHVFsq3/vO93js4cf44NAHuIIuTrpOxhdl2W32+OuOvSc9+83r0doUFBYWMi8y\nj7kz5/Z+z3zDe89kdWpyGlOgj0QiPPzww/z5z38mNzeXZcuWsX79eubPnx/fZ+fOnVRXV1NVVcXe\nvXt56KGHqKysHPPARfIby0W+2Ay+rb2Ndw68Q2RKBLPZTJYzi9kFs3GkOahrquv3ZBIlip6LgfHt\nd99mx1s7+GT/J4QMIW32Pg2ttt3evdOH3X/eAOzqsd0IBNBm7fnAYeB1oAsy7Zn88G9/yHXzr4un\nRjztHtq72vEFfJhSTUSJUt1YTb45nxXXaA1tYu9JTkYONe4aVL1KfnY+AGFPmIIZfe/oNNyTo6xO\nTU5jCvT79u2jsLCQmTNnArBhwwZ27NjRK9C/9tprbNq0CYAVK1bQ1tZGY2Mj2dnZ/T2luIoMddFv\ntBf5YjP4kCHE0caj1OnqiJqiZKdk4w/68df4WTh7Iam6VGZlz+pzMgl5Q1zwXuB7P/getU21qOHu\nWncjWjrmAhdz7zHL0IK9E+1EkN798zK0lgVBoEL706KzcOdX72TV0lUsLtI+3cZSI3VNdUzNm4rF\na4l3i7TpbNgN9vjrjr0nqbpUilKKQAErVvR+PWXFZbg8rl7vx0gqYKSCJjmNKdA3NDSQn58f/zkv\nL4+9e/cOuU99fb0E+qvccC/6jfTCal1THcfPHEe1q/g7/LRH2zE6jUTNUTwdHrIzsmnvbMfd7CYj\nKwNnipN8Zz4fnviQkBrCqBg5uf8k/3fn/yW4PKj9H2ICDqJ1fvwULcfen1jOPYxWSRMFTndvj8L0\nwunMu3MeaY40ZmTPwGG72A0ylhqJ/Xlpt8ieqZeh3pPYtYfRVMBIBU1yGlOg79n4aTCXLs8d6HFb\nt26Nf19WVkZZWdlohyYmuURe9Lu0x01HtAOLxULtmVqiBq0q5nzbeRSj9u+us7OTU42nyJ2SyweH\nPuCJp59g5wc7CevDF+vYvwTx7I0fWAwc6v75Atrs3o/W/tfWvb0LLUffCanpqczInYHJbsJWaqMj\n0EFqSir6Tj2qUeV41XFmps2kw9fRK/+eiNTJWCtgpIJmcquoqKCiomJEjxlToM/NzcXluvgx0eVy\nkZeXN+g+9fX15Obm9vt8PQO9SG6XXtyL3WOVTu3nnmmcwVI8PRcvGacZCROmoa4BJ05aO1o57z1P\nel46KZYUQv4QXW1dNF9oZtnsZZxoOMG27dto8DfATLSFTPv7GayVi/dTVdFOBIfQVrF60QL8HuCC\n1l/m3k33sv3b29l7ci+v7H2FVlsrqaFUgq1BLEYLBCE9Ix1TmqlP/l1SJ2Iol06Ct23bNuRjxhTo\nly5dSlVVFbW1tUyfPp2XX36ZF198sdc+69ev5+mnn2bDhg1UVlaSmpoqaRvRa+bq9Xo5WnsUr+JF\n6VRQmhWq6qvIceYQIUJNUw0zZs7A4XD0SfH0XLwU45zq5MiRI2Rfk40n4CHYGcQf8dN+vJ3nKp7D\nF/Dxi65fXKxvz0QL8nCx3e+lHzpjte6gzeDTgT90bwuB2WRm5eMryejMYMlsreY9IzeDFfNXUBOs\nwWQz0djciBpWsWHDHrSj8+n65N8ldSLGw5gCvcFg4Omnn+bmm28mEolw//33M3/+fJ555hkANm/e\nzLp169i5cyeFhYXYbDaeffbZhAxcXNl6zlxP15+mMdKIElXIzcrFg4fTjaeZG5qLLcWGPkdPjbuG\n2czG4XD0SvFcungJwB/yMy1/GlbFiq5Fx8F3D3Lq6Ck6bB2wBi2HbkMrdUwH6oFzaC1/o2ilkh8C\nS7mYvol1h+zQ/jQ3msmfn0/eDXkYFANRohi6DKTb00m1p8bHNStvFr5aH96gFzWoEvaHMRgNTM+b\njl6vlU5asfZ6byR1IhJN2hSLCRNLyezat4tQeogMZwY2qw1Xo4uwOYzxvJGC/AKiFi2AG3yGeH14\n7JZ3R6qPUNdRx3sfv0fVuSqMFiOtDa00nm2ktaWVc43niEajhENh+AoX758a+6f2Plr+/RjarP4s\nWuCfBpxBS9ecA3yQmpHKV+75CgsWLeDjgx/js/k413qOrDlZhINhUnQpTG2fyrfXfxtPwBNv3RtL\nS52oPUEQG9AUAAAdj0lEQVRTaxOli0ux2rTgHvQGmW+fr/WjF2IUpE2xmNRiM9ePjn/EOd05Lngv\n0OJtwR/wYzJrnb16ztR7rgSNXZxUQgr/89b/cPLCSY7sPoKn1YNq0Xq6k4kWxN+i97/0nv9P6NEu\nwLZ0b5+Glo/fB2azmeLZxaz5P2to87ahs+iwTLHQ7GmmKK+I1s5WbBYbwbogGVMycEQcXF90PS2d\nLfh9ftpb2pmaNzVeQdPW2EZmWmY8yAN0ejupbq3GarP2uv4gfdlFIkmgFxPK0+6hM9xJZ7QTY6qR\nKFGamppwBpwUpRWRk55DdWM1Zoc53pwrdv/V2+67jR3v7dCCtR5t9l0KzEKritkH1AEr0doA9xTL\nxavd+7YAv9eeQwkpzJk2h+984zvMmjWLtz5+C3u2HZ/RR3hKmPr6eoqnFnNd9nVMXzwdq82Kv8NP\nR7iDjNwMIkQw28zoGnQEG4NY7VoQXzBjARFbJF4fH/AFADBkGYjYIr367Lg8rhH3mxFiIJK6ERPq\nSPURmiPNHK05Snu0nc5gJ/X19Zx3nWdh0UKsViupjlS8LV6WzF7C7vd285vXfkNjayOqTtUWKF2P\nFuStaMF9Klqe3YiWa5+Ldg9VA7AarUrGDnwATAflpMI8+zxuu/U2UqelYgwa+UzxZ1gwZwF1TXV8\n6PoQd9BNZ7CT9o52UuwppERT+ItZfxFPuQznzlaX7lNVW0XYFsYYMPaqqqk9UcvMopmDPpcQMZK6\nEZPCYGmItvY23AE3FoOFlqYW2r3tmKaYmFU8izaljeauZgLNAVLUFB76u4c403pGy7EXoJVirkRb\nwNRdlslytOCejRboFbTZfgCYDbyJNov3aXdnSmtP46u3fpXb77g93k6gMLsQs83MUddRol1RLFYL\nBem92wrofLpeKZjh9Ii5tHQySpSgNxhvXxATUkNDPpcQIyGBXiREz2Du9/lBBau9d0oDtDTE3pN7\nsRvsRNQIu4/uJnNuJrYsG0bVSMAfwJ5p51zdOepO1bHv3X2EIiGt4iUN7XZ7NrTqmAqgES1V01PP\n0kgVbTbvAF2VjtTUVDLtmTz8Vw/zyP2P9FpNa7PbsBvtnDt/juj5KDp0dDV3Yc4y97o+AFpDsdh1\nAk+7h09dnxK0BXs1IYO+d1nqWTppDpjJzc+N7xtjVIz9vsfSb0aMlqRuxJCGujDYs51Bh6+D6sZq\nlIjC7JzZuJvd+KI+CrMLsdvs8d/bdNpy0nZ9O8ePH8fusONucVPxRgXV+6u1WbqdixdVPUCshVL3\nfVUJoDUJ+wxaOiaEdhL4EJjX/WcLmPQm/mLJX7D1oa2sXrm639d4qOoQbdE2atw1mFJN8e2eGg/T\n0qbRamjF7DAD0NXWxfQp0+P93WN9dWKPDXqDFGYXYugyDJpXH+im2Zfm6GPbJUcv+iOpGzFmw+lJ\n07OdgbvFTVgfprmjmaYjTQCkT0/H3eKm0FaIu8WN2WEm6uueIUfg4w8/Zv+h/Xg7vKgdqpZ2WcXF\nVr/7uFgW2dG9LZaSaUOrkpmCNnt/s3tbDUwxTeGa+dfw9bu+zueWfG7Q/LZe0eNudvcK8gCZ0zPJ\nMeWQo+TQ0NyAqqrMTp/NgjkLcKY4OVJ9BEuaBQsWZjOb0/WnueC5QOuZVq4vHrxkcrDFUWPpVyPE\npSTQJ6FEluYNpydNRI3Q4evA3eLmWO0xmgJNZEzLwDrFiqJXqD9fj86hVczEVsOe/OQkr/3pNT45\n9gldji64ES147wMW0jv9shzY2f19d34dG1orAlP372IrV7ugaG4Rj/79o6TqUuMXOSO+wfPbBVkF\n7K/ej9F2MW0Sy59bsVI6t7Tfx/XMmys6hag5Su6cXHQ+HeZs87Bufdjf4ihZNCUSSQJ9khntreAG\nMpyLjH6fn4/Pf4w34qXKXUU4I4zvvI9Z1lnk5uTS0NxAq6cVgFPHTvHKH1/hdOtp/Iv9RGujcAva\nalXQqmd6ztxjLFw8CUSBVrTVqq1gmWJh1txZXP/F69EFdeTPz6e2rpbPXvPZ+MOHym87U5xck3MN\nroCLCBH06MnPztcajvkHfmzPVg6xTyvay9BObHJ3JjEZSKBPMqPtCjnQp4DhdFP0dng523gWa74V\nW7qN5lAzbd42AvoANquNqR1TOXvqLI/+96McazhGR6CD8LVh1BRVS7+oaH9GuNhPRkFL18QKW+xo\nq1bd2o9mxUzWtCyWrVtG8bXFRO1RvG4vTqcTtVFl1sxZdAS1s8Vwm4ItmL0A1aWOqKFYz0qa2PvU\n1dZFXs7F5n5SLSMmmgT6JDOaW8EN9ilgON0UPUEPs2bP4kLrBSxdFjL0GeCEyjcreeGXL9AV7sLX\n6UN/rR7WQrQ9inqk++JR72IWrd/MXqAYbRbvR6t3b9L2zczJpPjaYqZfN50paVOwYKGxrZHMKZlk\nZ2RTmFlIdmo27mY3aqeKyW8adn57NA3Fej7G6DMSiUTIy8nr3UteqmXEBJNAn2RG08980E8BhYuG\nDH6KomC1Wal4roK3P3ibsK67rztgWG0g6oyiWlXUPSoGvUErk4zdkSkPrUXB57ufLB/4CO2GHRYg\nAoaQgXseuAdLrgWD3sD51vNMSZ3C+fPnyUnNweQ04fF4MOvM5MzTShsdDseoFhiNJjcee0z8pOiQ\nFsNicpFAn2SG28+8Z6qmylVFVn5Wn3ru2KeAoYJfbnouf//k3/PWsbe0Onc7Ws79AIQ/CcMs0M3R\noa5UCVeGMeYYifqjqIoKi9AC+yto6ZqQ9qUz61hcsJgHv/8gzZ5mqqqr6PJ1ETFFcNqd0AVp1jR0\nAR3pqemcO32OpZ9bGn8NExFgpcWwmKwk0CeZ4QSbPqkaS4Tqxup4rXvMQJ8Cdlfu5rnXnyMYDWLW\nmbmj7A72HN4Dn+PiTbFBq5bZh5ZXn9Nd76uo6M16FBSiF6LwBihBBZvFxoJ5C9i0YRNLlizB6/Vy\n4vAJzpw4gyPXQV5BHp1qJwfeO0DuzFxsFhvTbNMwKSYcOJiWP41AWwC/4ifVkTphAVaqZcRkJIE+\nCQ0VbC5N1eRk5FDjronXukPvGXHP2f/L//0yz1Y8S2hFCEWvkOnMpOaVGiK6Aa4B6NAutPpAsSno\nVT3moBn9Xj3zC+ezacMmFKvChZYLFEwvQIcOr9eLw+EgPSOdopIircXvhRO0B9spXVmKr8VHbmEu\nHa0dhHwhMlMzmZ2j9aoPtAak06MQl5BAPwlc7pa0l16YdTgczGY2TfVN6H36+KeAw58c5lev/ooT\ntSdobG3EZrdRc6aGyPIIRpMRRVFoaG6AQoi+e8lVVYWLVTQKGMwG1P9VmZs6l7m+uZQ/Us6SJUvo\n8HVQcaQC4xQjUVuUKFFq3DVk+7Kpa6wjbA+j1+vJTMskGolidBixRq3oO/S017czzTktHuRByhmF\n6I8E+gmW6Lr34ejvgq3D4SBjRgaLChexu3I3Dz7+IIfPHyY0I4TarmJYZSDSHkGdo6IeV1FQMOYb\niVqjNHuamT1tNqfePYW6StXSN3q0aplz4LA4SN+Tznfv+y4b/8/GXq/X3eImw5aB2qNJfNgSZs/B\nPcwumE3UEqXD18HR2qM4nA7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v3z4KCwuZOXMmRqORDRs2sGPHjtGP9gqWzP/Ykvm1gby+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\n7nr01upgqAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The light points are the original data, while the dark points are the projected version. We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Application of PCA to Digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This might seem a bit strange in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data. Let's take a quick look at the application of PCA to the digits data we looked at before:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "X = digits.data\n", "y = digits.target" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "pca = PCA(2) # project from 64 to 2 dimensions\n", "Xproj = pca.fit_transform(X)\n", "print(X.shape)\n", "print(Xproj.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1797, 64)\n", "(1797, 2)\n" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y)\n", "plt.colorbar();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NcLpak5xakYT24OdnY9Gi71m5MR+TPjZRuaLHe00Q0AqTcRs1Kjvp+x+4lHSZ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\nuK19BamLHuKUbTjQGp3uFfvZ/UDM5gxmzJjFLbfc7NCzqKiI556eyNaiA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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But how much information have we thrown away? We can figure this out by looking at the variance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pca = PCA(64).fit(X)\n", "plt.semilogx(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n", "Other dimensionality reduction techniques which are useful to know about:\n", "\n", "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n", " Principal Component Analysis\n", "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n", " fast non-exact PCA implementation based on a randomized algorithm\n", "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n", " PCA variant including L1 penalty for sparsity\n", "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n", " Independent Component Analysis\n", "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n", " non-negative matrix factorization\n", "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n", " nonlinear manifold learning technique based on local neighborhood geometry\n", "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n", " nonlinear manifold learning technique based on a sparse graph algorithm" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "K Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "K Means is an algorithm for **unsupervised clustering**: that is, finding clusters in data based on the data attributes alone (not the labels).\n", "\n", "K Means is a relatively easy-to-understand algorithm. It searches for cluster centers which are the mean of the points within them, such that every point is closest to the cluster center it is assigned to.\n", "\n", "Let's look at how KMeans operates on the simple clusters we looked at previously. To emphasize that this is unsupervised, we'll not plot the colors of the clusters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets.samples_generator import make_blobs\n", "X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=0.60)\n", "plt.scatter(X[:, 0], X[:, 1], s=50);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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brTD1+uEZBNxgeJOhoU9RiwPv7fLZk9qqzvqUpKqcMOH2ZGGvXgOo032cie+9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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By eye, it is relatively easy to pick out the four clusters. If you were to perform an exhaustive search for the different segmentations of the data, however, the search space would be exponential in the number of points. Fortunately, there is a well-known *Expectation Maximization (EM)* procedure which scikit-learn implements, so that KMeans can be solved relatively quickly." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cluster import KMeans\n", "est = KMeans(4) # 4 clusters\n", "est.fit(X)\n", "y_kmeans = est.predict(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3HDTvkVghIgxN61KsnTWNGjVqvLO/Hn37sfhRAgm/zDG6brZwAtXunGHH89VpbGws7sVK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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm identifies the four clusters of points in a manner very similar to what we would do by eye!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Application of KMeans to Digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a closer-to-real-world example, let's again take a look at the digits data. Here we'll use KMeans to automatically cluster the data in 64 dimensions, and then look at the cluster centers to see what the algorithm has found." ] }, { "cell_type": "code", "collapsed": false, "input": [ "est = KMeans(n_clusters=10)\n", "clusters = est.fit_predict(digits.data)\n", "est.cluster_centers_.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "(10, 64)" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see ten clusters in 64 dimensions. Let's visualize each of these cluster centers to see what they represent:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8, 3))\n", "for i in range(10):\n", " ax = fig.add_subplot(2, 5, 1 + i, xticks=[], yticks=[])\n", " ax.imshow(est.cluster_centers_[i].reshape((8, 8)), cmap=plt.cm.binary)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OBwtMsHcXoOiat/VecPBSA8qsbpmRn0szV1fXLB1glsCSZ+ZhkHSz2AMweTCooSJi17QJ\nnyszyoxVZsxS0wljAEonWSolCxRKQQI3fHSRriCJ19l3xhSMRPjJ6R1Y1jpiI97Bkmtsd3d3cX9/\nH/f39w1QKmDy69nsvaNWyx2wWQfyWRo2s/0hGdKlzFIzTXCqCpi6zTpjfSLNF1FnkvwZbPP+/wQp\ngSVsDAFcqZMbYKnz/fK23gtnw5m/UqDMXqtf751ZusFZYpZ4hpJBUmuZzCx5MLDRcjSsgJgZbold\nlgCz5MhLrPazpBbhukHbJWrkhQ2s9BscqJR0kunNbXdhoX0K9Aln7J5dLdUrNQ0Lm2JmeXd3F9++\nfYtv37419UsGSF2zveMY+/0//7nIj6VwhqeUhlUQygLSvqQUSPG4hNN2JRmAJTvsbI3jaTaM95fS\nrbUx13UcjllKjJ59fqnmDsCEvWqzJwctEe+sku026yUpAWbXbtgvY5a4mBJQ8kOsLgXLj4u4aaw0\nDaspQd1GJMjngzXO163dYMxuSObQ3Tl9ttQGW2nwOskckaZhu7DT0u9mIFljl0NLxs5KzLKWhgUr\nRM3y9va2Act//etfZ2DJjT/YhqB2isevkHrkgLGUhuU6nd53fGcMkgVzcMKud0HTgqVtZZTwWcxw\nSiDZNYvzuwoTEhek8Odc2UCzJDob02q1it1udwaUGugBaNUva9q31NzDy0d9zqfXLDXVk80nCODM\nZuXg5ypx07Doa3a+zDJxnny+WTqSjSIDzTE59IhyQ0EJyPh9XZeO5db6+5kxl9q4x1gXZnvJ6pYK\njrVSgaaxULe8u7trdcY6oARY8tR6z8/PsdlsmuhdI3RcR3b+fJ+0e3cIVqkMUu0I+lPd8vdOp1On\nlByagTLdKRhmGSm3/k8R5xsZiACcDJa1MgKyNMr4eLyzrmsBeO0zXYL2rnJ1zVIHYi0KZ/DM/qpJ\nlcVrPRdeK9NVBuwAs+Tkx9zgw+deWrLaKyRjUZr61jWCksXivXMWv+9azN1jEq74nhl23+Js3C0O\nGNm5MFCyw9c0K+vGpbDwW9mkBfw7+By+g+vRYFZBxF1XH+KAEilrPh+1iYwZuzSd1sPUT2Tp5wwk\nNdArlWvG4CucdDnHEtAweYl4T2erj4GemVVyb4r2qpSIk3v+Ve8n7Lw2Xi+176vTsC796lI+pdl8\nnDL4Zrltx3BKA6DkABRMSt1T2fl8pXQ9jgNK51hcBK3pxhpY4njsyBgYAJQMlmBBDizdOQ/tcEoD\n0QUVOE+2IwYunYAgS7lmgBkRZ/WYUiOQAwlO4fJ5Itofklkqe2Gd4zMOVPk7eN60xCQy39DFmbpA\n9HcEShbYR4m5YZ2BpvoRCKdUObuooMn9Kw4jgCcO9Bwo6hi9FigjPvk5S8cqa4CZPcTNNy87B3dO\nrm6ZAWZm+FmDz5Cp2C4s0n2uBvjQHe4hGyXey9bzeft/+1wjAAMlQAHvu8L7GByO2ncWGGaZENa7\nMktX11FWqc9aMlg6oNTfw+dqzBK1oNo1fbU4EGSwdKydx6iCJa6XhV/X2IZb+Phdxhg+/ztLjVFm\nQQizPzRcoblHQVKX3W5XnLDeAWXGKnWt9tQLs2TFZEDpugfdkoGl3jA2Wrd2gNg1YuSb/lmdU0NI\nxixLgJkFO13BkjMBDAylNCwA0zHLbCAOJbUByTbFjgVO/HQ6tXSSpWFLIAk9RUQLKDN2GREtO4Yw\nWPJ/YHLTRpaO/GrRwCJj7I5ZQg88520WNHcFx9L1d2WWQ9vuNaLM0r3W/fAZ2D4ej637hslpHKtk\ndlnrC+Cx6PxXFtRea9ufUrPMWtSzeiXXLPW7mnZB0Z6Pr+eB15ewyixa1fTO7wCYWbSbASafv7uP\nJbDUfcosuWYJoMzSsK7ZZyz6zZilDspSGhZA1aXOWJryLkvDZszydDo1aVgONpE54PGo7HJoZom6\nI64X4san06v6EmxHnP8Nl3O8NcCsjbOhsyLXCtuLnntXZsm+lb9XYpU8exv7Id3We9WFWdbSsF3v\n0afULPkkXRu9PpvGzLIUrfOFuMHrHFpt2ykqS++MOWrk8+gyoLswS76HHCVm7BKODQOLmXktDesa\nfGppn76lBJRZ96g6fuhJm3scWDqA5AUgmKVi8TsAG2aWHBCBWeJ7LnLvEyyhNx5/pQAE+sTjBKwL\nN0sRpJaJuhQkdUz9zoDZ1ZdkYzTzEZDT6WSfpVfA3O12xVRq1uDjsKgEmO4ca/Jpj44os3Ss0qVj\nsxw03yxe1wy+BJKl36419wzZ4KPS1ahLg5lFHWkGlrztdMr1Jtfg41hUlobla+Jr7EOc48wGYxZ8\nsd5LrJJBzqVeubYbcV6zdADMYKnM0o1Pjdr7BkwNMDjwcNkedPKiKent7a0BSp3vlf0Gtkts4xrg\ndIHd7wCUTrLryNYR5z5Bx4/7Iw3HLJUxurWOyyyozZjoR2z7qjRsKeKu1S2Rhs0iEjZu3BR11NkN\nykDyEmZZew5wKFGgLKVGapFwRLdHR/A5XkM07cJpWJ40nNOwDAbKLPE7bt23qP0oUDpgUTsC2+6S\nhtWHqXUbzFLZlP7e4XBodcPytaAbdj6fn3Whj4FZ4hrVbtEowqxSZ0zi5/c0c8KNP+6e1vwEn2cN\nKMfgJy4R51PYnt141IX1mj22UWvuAbN0WNCFJDlW+ZkdsVd3wzpW2TUF+/Ly0rpBbhsdl87wVEku\nmqlFihlYOkY5trpaF+DMGDLEAaU+OoLPuW2kRZgZaIOPpmEdYLpBqdt9SsYsXXrHMQ8Fy1oalpk2\n64X3HY/HYrMQFgcaEe0Gn9ls1nw2q1n2ySy5EYltF9eMc8f167SCWOORGAgCBLZ7B46X+goFyt+h\nt6GLqE/h/aWAwGGBLhmz1Aaf0vjXIL8GlArYHwXKiA+CpV6MAxIGniz1hFRfyUnOZrPmwheLRUv5\nLO7iMdj03F0kWGqIUYAZSjTi4+0uooaSAQKW0nlgrbUkZk8u7VqqVWYD45Jr/GxxzrMEks6GlEHr\n84G6ZAFObV1zZu4eD5V6daLjUffhOkrfPx7f/65MAwUtNWRZlOy+1Ran9zH4jUtE9etIkSNDyvJV\nz29vb2f/MqXTmoJQZXasxKVm944RQz5yXy4GS3WUzik4gOTHCLbb7VkEmF0AwFI7o3BsBk2XfkVq\nB0sJDEu1vbFGigDN7NyyaLlLzQa/z8fibef4XXowA8mshqrHGovUmEeE767WgKKrs+2iFx6P7nu1\nVJZew1CAyXbsnBzGMY9nbKPOyePbMR6taWr3PY41m73PTKVMv5R9+l0BM7OBElBqSc01durjH9ls\nPfoYofpo1aXq/9KGzI/ejw8zy8wpuNZ2bfbgv2TpIhrNOIeAgaYRsgNPZ9yXRilDChxLTUpA6AaE\nbmfBgt77rNbmnhvs8rjIGHTcBVC6pOi6AmUX8OQA5iM2md3v7Br7Fg38kBkCKGrwy9sATGaULkWn\nDlyZJTtjgGbG/n+HrvlLJPMLWeMmz+mtf1enrPP19dWmYQGY/FnoNuI8g6bjqRZ8ZgEMfu8S+XA3\nrHMMjmEoq+SZGWpgCSWhRdw5VzfY3TYGmkYs2XYJKMcyADJWWWMRrjBecpwZe3FOJHumsASUek1j\nlEtYZQ00a+DpAjj+fSclAO3CKnU9lOj1ZUCpYAnAZLCM8J3e2gXMelA/oHabAaUuv4OUbEL9g+qP\nWSWnUN3TDwqu/A9Tbg5YAGVEtHTJgUyXDE2NAF0qX8Isa2lYKFyNKots3Z/V4jMKALzfbWfAqNul\niGSM4s5P9VlLuypwOifdJUDKHpgvpWKzayjt70NKQIN9LDWA7AKU2SAvMVk9h9K1uKCJr2UowCzd\nZwVGZpMKoI5dMjNCys81abFDxjEUJLMU4O/ELGv3ugu75H+TKv2pcwauuuYZmCLamYUI73uy8VMi\nPR+Vq5mlOgDu2NOuSK4VoGMvG6i8dkxEox4MptlsVgROB5I1JfP1Dm38zCZ5nUnmILvULB1glgKk\nDDC1ZtmluYevdwxSYpbsaLuwSh3kTicZq8x0VdNj7T5nbLkP4THNr7FdOldmIRwM43XJ2dfSsBHR\nsu0Sq8yCHL2eMYuza1evdODHDFEfD8z+QCObMD2iDJRdGH6JUX70fnyowQcH45MCUOICGCgdWKK7\nlW9Stq0t8DoI0CWbRcmcwlEn5pjlGKPDGijiM5BLnKOyjKwTtsQquwKmGvkYgdLZUGlfxHmqugu7\nVD2UBrvKJczSMePSM2djZJY10KwF1Q4oS2CJ3ynVK2tNPr+LOJ/LdtKVWSpw6nY2UY02XfHY4HNz\nvqeUndGxhN/g9SXyqWlYAObxeDxLw6pxgoFmN0mZpd5cfaYHx3ZOjb+TOS29plpkMobBwOyydD41\nYMwcp4IB60bve2katqxmqSmzMehURUGki46ysVEDza4214VZdgHMErMcEjDZprHd9dzZniLas/Wo\ns8/SsADJ+Xxua5bXdjSPSVyQ5PyFA0oFSH4MRF/zBOnZROl4vhu61Ed6skA08ym18XPpvfnUBh+O\nBpRdukgOadjaolGlRjo4tt5wt3aK7JJSGZPUWOYljtFFkSX2lIFA1uCjj5BkDT5j03EGku415FJW\nWYqIM4frBnyJWZbAPruOIYQB0V0vAyiyRCWwZJ/hGlSyuXDx+xHRsutSrfJ3BUoW5y+dr81Ssdrp\nyvsULPn3dEIbYId7lhn3phS4ZGMI3x8Ns2SwVKB002kBLLPaGT/C4Axfna+76YhUurLKsbPJrpIB\nYalmqZLpwAGlAqYCZ8m4f0e9smSApQO3tO0CtJJeasGSA0l97QKAoSW7Zg2YnU0qIy0xIzhmvM/H\nwX1Qe85Y5e/sJyJyoHT+w3UVZyxT/+gZzFFnwWJsiIgqSDqfcinr/4hcNSmBc6CI7rTJBwrhG+DA\nkp05G7LmzLUhAufE4JpR7xIAlKISXg8pJePWGoObglCns2NjxD1jZ5HVaZzhZQOL9exmjVFGMaQ4\n28iYc61OFhGte6FTcLG+cGxdY0y5KcTc82xokuDz52vTe6lAPUZxQZ9jKFqTdLP1qB/CNSPQh74W\ni/ZE9tl9xno2mzVr3ub3nQyt85qPdPbPJbbX19cz8AOZYVCL+GcsQDfwBcwkI6KZTxrLdrs923d7\next3d3fNcnt7G9vttvksT7GZzUd9qb1/OA3LSmXmxmAJY8vmnGSwdIyHtzmaUSel58QDAGucYwaS\nXRjlkEbtAFLX7EhKoJm1y8/n75Og8yBxaweYJcDG57lz2TEenM/Q4oIoF9mWdODA0t0j/g7bKacV\nT6eTBUpXA3p9fW2uAb/Hui0Fh/yZIcWx3FJq0D00XwJMZZPOj7h7rT6HA3oFSd12ASH2Y3ssorbg\n7J/nIuag5fX1tfkXGGbm+D3170qMeKY3gB+2eQFIAij1Txv0T9VdsH+JXJ2GZWXCmFmph8Oh+dsg\nHbDYny2sUAbKkvHyjVbjdI6iBJAZdR/aqEvpEgdWrqCeMUsEOM6hlhwszge/q46dv1dLAY/Beait\nuMhao1SIA0u+J7zmxQV0sGG8l2UKlGHqubOOs3s5BnaZpYJrzFJ14LpeeXGZJx33pVo7zgnn4oDR\nMUsN5IfOqGSsEtsaLGrznpuMH0DpmCUHby6rOJvNWoxyu922WCO2ec0LA2b2xw1q713lUxp8MsDE\nPyUoo8TnNYedLRytZGkRNmA1BEgJIGs5bgeafYtjYdgusTp1KBmz5MEQEWeOtItzVYeGQcQDrgaW\n/FtD6BvHxPWVmpjUDvX6I86Zpdbu1Vm4xQUgGbuEvrlLnK9NMwTuXg4dELJocNgFKJVRur4JvmZn\n29rJXcoiOJBUAHUyBsDkc+HtEqvkFKza4Gq1ssQm4v1ZWB73mhIHs1TA1EWZZolZZmnYS+Sqfx1R\nkOQLV6Dk78IoHVi6yPvt7S3W63W8vLycXfSlrC8DyRLDHIMhQzKQxGsNMjIW4pi+giU7UedUHVBm\nzBYDDg6co0p81+l5SMAsMcvSwGOHroFLKSis2V8NJPVZNQClC1RrgeEQkqVesS4xSze9mkvBYoko\npxoBlqVMFtuw3r8SgOKYY8ig6PGdP3VjwDFLBssMMNVf6Xo+n7eAEsDItcm7u7uzFK3WNwGYpQbD\nS23905hv+BrCAAAgAElEQVQlFIEI4ng8tmboYcXjpF13lOuUenv7Z5Z7lxLB8dz51c67xDLVcQzt\nSFiUkWCfqwWoQ9GW+YhzZqk1mGypMUvHhErMMnMeQwBmBpbsLJbLpXWgzAJns5m1ay03cGSd2V2N\nVeIeH4/H1r1UsKyl1cdg5xlwZszSAWWWhuWUKERTjYvF4ux/RhGc6zm5NGwGkiw6bnRfn6LHrQWL\nDig5+6cgxX4lIk+3z+fz2Gw2Z7VJXW5vb1sMFACpadhsbt9emGWmVCgWwlEtPqcG6ZypOhakYJVS\nu7RIF+Mrscmu6dehHYlKLQ3rGh0uBcvS6+w8NP1VAgq9niF1nNlFV2bJ90BBzl0/M8uslobf5Xvq\n0pDYj/HF6WD+PRdhD2nnmfPk97rWLB1Qst1zWSCirRMFhGyKRpxPLQ2LfaXrwzn0KRl4O9tzNUvo\nlgETgQrrzjVjOp8MWSwWZylYMMy7u7u4v7+P+/v72G63rT+W1wX1Su3mx/ojAeGnPGfpBKk2/hxO\n3DlRdQK84O9dSmkRjhTVgfPrrmzSgfCQDlzZZGmpAaaCZcT7A9g6sN21Y7vkPPTYCJ5cvQ7fHVMQ\nUmOWpZol62A2m1mbLjFL1gWvHVBq1gDMUu9zFrSOnVW6ulZXZpmlYRE8lAJ5N/uUq1lmKXQHms5f\nDq3rTNjuMvvnRwKZVep80NBfKRDkgIW7YTUNq2DJ06nq9mazqfZdXKL/q9OwvM2RGn8OzQachssA\n0m2/vLzYlIi74Aw0+Twda6jtGxIwa1HpNcwSBsxg2VWcsSlz6goSuA52REM7Eh1c2uGtj9FA2KFH\nxNl1Z0tEOTippWEBFMfj8eyRLf4t18zibH5ocRkHZ+NdmnwUNPn3It71omlGBUtXn86AkYMnHOd4\nbE8OPmT61Z1vyUcqUPJ9QE9J6f9rUaYrHWu5XJ41+DBgMlhytyu29XVGhnpJw0LJGv3O5+1nLdkI\nEGFrkwcMF2CKRhC0vrMCNefsDDKiHS1mkbpzCJmTcE5Lt4cUF4Xr++pkWNSA0OKdgaZjnXocxy5r\naVh3r4YCT6cTTlHjWuAQFGxUV2B6zIB0mjDovWR/b29vzYwoz8/PZxNX88w0h0P7jwUi2nW52l+m\nDWXfOo5Zh1qa0cm8dcYYpxssEd2CGAXkl5eXMz+EzElpVhnVsbL7iPZ/Nw4pGVAqs0TQiKYeV57I\nQMqxvPn8n6YqnYRAu17xiAg3GWVzUdcCgUvkKmapUREfvJZucI4WQAsFaiTixLGT0rm6c9HfcYv+\ndt/Ou/ReDfzVMDkd0sWInO6yqJ9BWZu2MpDU4GoMDDNzFtzlXSsL4PwBlnDsz8/P8fj42IqOAZY4\ntpPD4RA/fvyInz9/xsPDQzw+PsbT09PZv83PZu2/qZvN2vU4jsC7XENfomNNtznlzLrE8vT0FE9P\nT41eWDcMnAgosmvUAA77uA6P+6mNh9m6BKYKMH2L+gqwZAfsfM6cLSxl+1zQ5gIJBHE6W4/WIgGQ\npbpyqaz2Ubl6Bh8WKBrvQeH6HT15dZq4WJfagDgmk50X73PAzpIBZAmM+xC+/uzcawDYBSCdnjOA\nxD7WTSlCz5pbMt0Oyd4zoGR7y5p9tIbJTh4s6OnpKR4eHlrPDtfEgSWYFBw3sjN8X5RRcpoqa8To\nU/elwIsXB5ZgkwySWANEAZhc08y6VPn+OrB2rNbV6NQ2tGmIXyuY9CkcnHJ2EOKAMgN7B1Sswyxb\nw8t6vbZAyWnWbAq7LPOoJEKvv6tcBZbuYBioEGUlrDBOFcFAXaoiyy87ZlI7v5LixgaQTti4L12Y\nWbpFAw7H8DSbgPfcb5XSr5ekYftml05n3PyE6yt1S2bMEs798fHxrFvPCdve4XCIX79+xa9fv1Jm\nyc1UfK+0Huce2i6xg6+WWmaHWZ2msQGQDw8PDaMEWHJKVlPVbvxrEMfBnk4cvtvtYrPZnP2zjgNF\nAIGmDjWo6dvOec3bnBpm23bssguz1Fot7FHTp3hspMQsHVjWygldyEZNrpqUAIpw+6EQHrDaYo3v\nQ5FwSAyaNSpdS+Nl56aiUaQD4TGBJoszCnb2HwFWB466j6XEKrukYPU4esy+hYFSwRLX26VOw45e\nmeVqtTpLj6soWD48PDRgyYDAKcaIsGDJnZ4loOzbaev1KkgqWNaYJbNK1Q8AU2v37riaGVFG6VKC\nCpy8j529a7xCja1v4WPCDpW4ODbJdftSCl/Ht7NF7mR1IOnYZZbKVZ/H13gNYH7oOcsMIFk0FaQs\nQcHS3SDn7CHOsGsUO4suFCh5n+7X94YSBTbdl7HKLL1dCkgizpmlvpc5mksafPja+Jh6Dn0I6y3r\nEq4BJcTVLPE9XFcpI4PXx+MxHh8fGxbF6UZmlghMMwel6axax2dfouOQ7cOBJYASTB0LM8qs0YeB\nqma3/MA9d3wqINaW19fX2Gw2rYwabAUNj33XLGv+O2OVXL/vMgaUQStYAhBr9Uq2WwbIUr1Sr7VX\nZlk7IJyqptdg/AqaMFCkj2oXDckYYMnBZr/V5Xfx3tDiApZL2CVHjyWwzAIcDXawVsDsApK87a5z\nCFE9KVji/UuYJdcs0UEb8T7RQAaWyiy5kSVjlgiI1BlzzbL090WlMfdVUsrsMICxHpmlowb8+PjY\nAkgFSwAm9K/BuuuC5Wnb3KKpVZdu5X/n4EAG9sKPY/QhPMb5Nbah+1q9MqsXskC3bFsavLl/Gqkx\nTFeucwGfA0zd7iJXN/g4MFLHoqDJr9WJKqssFWsjzp9z6tJQ5MQBpBu4Q4tjkhlw1pYSy4SUgJI/\n46LzWoOPq1mqZEHQV4vqSQf6bDbrzCy51gagVCBV5+XWx+Px7PEIbvC5pGY5xjSsG3vaDFZLwz48\nPLT+iFi3kUplVl9iltBnqYPVNU25hhQGSrYr/Abqf32K3mcNjh0gcUc4M0vXY6L+U4GSgzc3fV3G\nKlHCUJzIxuBn2PNVz1lmJ8GgGJG3hGcOFJG2OieWDMhq51UDzjEBo0oGWl2B8ZI0LINXBpSlwEWd\nTg0o+Th6zX2LMkvdD/19lFlG/HOtDKK1MRPxDwvlxyB0AVjCmUE46q6lYYdq8GHJ2GVWs2SgfHx8\nbBikWzgNm9kqjqPP0Cog4DWzIwVJXhxQwn6YdfYtJcB0KViwRA0asnqh+tOsZpn90bPrimWwdL4u\ns99rbPrqNGwNnPgzzikqQEKR/NrRaQinUfQYl0YWGaMcmzjQ/CijdOCpvwvJgLILs+za4ON+fyjR\ngcfpTWZql9QsawCKdWaL7PTdNoCgVLNEJK8dm0Mxy8weXBCdPWfJgKn/aen+kYRLEVoGAsMD43f9\nE7zNdbfSOrsXeLAf59GX6BhWf6nMUsFSa5aOWfLvs5/i8aONPfp3Wy4QWa3e/xlJ/VYJL66RT3l0\nJGMEzqHzTcmiAWVC2cKfq23rb9YYJssYQNPpEOeOgc8GzUbI9YDT6dSkofAAe8R7kwlPBYZ1icW7\nAEgHXVcdlwZv3+JsNaLduKYNCphd5P7+vnHirsWd65UvLy9nzSZYu3vAqTw4HHY+h8OhOQf9F3nY\nQgkkh2aVLJeeR8lmNUgDMOEYsHt3DigP8eedv8LYQ+pW126KQp3ec7m82iV/qjidlabR5EyS+kzH\nUjmFXXs8xGU9LiVE18in3JkMMN1n2Dk7xnPJooP8I8Cp5zBmyRx4RPnB85ubm4Z5wMmD5TDTwbSE\nJWZTAkw+J3dvL9X1GADTbeM1wA/BCOav/PbtW1MjK81PyanAiPpzvuz0cXw4cU7z3d7exrdv3+L+\n/v7sv//cHMtZCq0v3deOU2MPmX4haqsO/Hhh4OQxwsdAsIL7qLV5t9ZyhJsOEo/+jEnYPzC7V8YO\n0NQMUkS7tKEpaPZVWePZpQTnK+TTwhgHmLpP2Sbvd0sXYOwKliVmOXaQZMkcOJxnVjjfbrfx+voa\np9Pp7HkuToNH1FllKX2Kcyktv6PoeXNgwvWWu7u7VsMNP3ieMR48JB9x/siS7sO54F45AOEJp8Eu\nOaVVqrX2nYLla+py3JptZb/j9N7le9A1wJFBEu9nzWyuVu8AUpe+pUR0SqzSAaUGBQqWHGTqYzda\nR89q6RBHGr5SPpXzfwQwdbBfyi4/Cyy7Mp0xCUe9EdGqA3Bq4+bmpjWBNIMi14I0Gr9kyc6tpG/V\n+dBMkqUL21GwvL29bYASToMfGdA1Ox7VoXsNfeoD2OxMFotFw26VWXKKy00VNobo/RIgvAY0sc2g\nyb/L29A9rxk4S+DYFSAxPseYhs3Sr64W3CUNeymz5Ear/whmCckAM+K8Gahk5A7gSulYsKWuqVen\n+LE4aidZ1Ms6VWbJaVg4aHUUMH7Wx6Ug6dItquOugYkC5hAA6gI89x7AkmvCd3d3rVQUHmTnJeJ9\nhh00/jhG6c6LHz3B8TVCB1jiH+XBLMEuS5NPD+2Qushnskr8nvsO3lNwxPvYzgCyBqA8/n6HNCyf\nL08mz0DZJQ2rj+Aos2R2WXuGM5OvsN8vCWMcYGb7LwXIUjq2C1iWnPhYRUHRiUZszCzdf1hqdyH0\nGnE9q8R5lpyZrsfEKlmYUbCAxTOz1McSIiJWq1XzLCSeoYOzRgp2v993ylpAf2jqYbDmRZklmnw0\nai8B5VjGRBf2+BHQjGjfB/dZHB/fAWA60HTgmNUtS+xyjMxS/YXWLTNm6dKwzk85ZqnZD2ef+F1e\n83l/tv1+2Z0pAaZuK2Beyiq7pF+z3ysNLCdDpmIzx40B79KwzCjZSejsJFzHvBQss0yC3o+agUPG\nApyZviHcdczsnR/L4Qg54n2CAvw2onM47NJ14/7inBaLReNgAIhgt6hZIg0LZtn1oe4hhf1BKbi+\nhl1ChxlQOrBUkMTrEpus7Rtrg49moNzjO7WapWZnNBPoSkZdnv8tSc23XCNfGsbwCV/KQLoAZcYs\na2DZdZANCYyZlJiOpjbe3t5ivV63wBIOmgv0WhP4CFDWnNoYWUtJSkCJ95jZaZqbo2cwksPhfTL1\niPbzl+q0XUA0n89jvV43ThrH5xQwgBJrbfDhNGzp3ozp/rhzcoF2l/HMadguzzQym3SgGVFOw3at\nXTLQ9CklH6ep66xmiaXUDRvxbsMOLBkwGSi1G/aSVOxnS2+cP3M6l4Aks8gshdSVWWYDKmPEQwuf\nV2Ysmt5wEd7pdGpFhTonKH/uI8zyI1E/HzNjBUMMEGba/BrCDT4AStgZGCfSanAy+/2+0TWnYR2z\n1G08q4fj8AQDeLYS6Vc8xsKMU1Ncek/GAJZq5+51DShVNKuSlQ8y264xbccas8dGaqyy7+nunKhu\nmF26x0eYXXZNw8LvZPVK2HaXbti+ZPAEec2xOoDLao+lz9QY5Zgi6UwUzHSfqweo4aJDM4vc8Nsf\nSb/qudZ0/RHgHEJqwYkLTGBzp9OpNYcpp7xxP+BknF54H5wW/77OgKITEfAjIwBJDY5q675EgVEd\nLX+uBppONAvCrCmi/ef1/LmaMJhgm39btx0T5WVMouxSgb40IYELopX8OJbpOrVLrLIvOx22ODHJ\nJJNMMskkFRlD4DyB5SSTTDLJJKOWMZTGJrCcZJJJJplkkopMYDnJJJNMMsmoZQxp2GKDz/fv30dx\nkr+LfP/+/VN+Y9J5d7lW57+bvv/8889Bj/+fpO+h5mK9RCaf0r9kOp+dxpAMnmSSSSaZZJIRy5SG\nnWSSSSaZZJKKTGA5ySSTTDLJJBWZwHKSSSaZZJJJKjKB5SSTTDLJJJNUZALLSSaZZJJJJqnIBJaT\nTDLJJJNMUpEJLCeZZJJJJpmkIhNYTjLJJJNMMklFJrCcZJJJJplkkopMYDnJJJNMMskkFZnAcpJJ\nJplkkkkqMoHlJJNMMskkk1RkAstJJplkkkkmqcgElpNMMskkk0xSk1NBvn//foqIaem4fP/+vaTO\nTjLpvF+dT/qe9D3mZfIp/S///ve/rR6L/2c5m81C3z6dTtXleDzGjx8/4sePH/Hz5890/evXr3h6\neorHx8d4enpqFn19Op1iNpu1FpwfluVyGff39/Ht27f49u1bs6377u/v4+7urlnzNq/1eNmxa/q6\nVK75DXyvtH55eYmHh4f49etXPDw8NMuvX79a+56fn5tlt9u11tg+HA7xP//zP3b53//932Z7u93G\nYrGIxWIRy+Wy2dZ9rAOnl8/WV+n7zu55+3Q6xcPDQzw+PjY6c9uPj4/N9tPTU2sfL7Dx+XzeWvP2\ncrlsbFZtV5ftdttabm9vz7b197PXfei7ixyPx+ry/Pwcf/75Z/z555/x119/Ndu6LyLO7FCX1WoV\n//Vf/xV//PFH/Nd//Vdr4X03Nzcxn89jPp/HYrFI133rq/Qb8NNuwXuHwyH+/vvv+Pvvv+PHjx/N\ntr5+fHyMl5eX2O/38fLykm7zbyteYDsizvTmdHl7e2vvhb7ebrex2Wzi5uYmXVarVUs3y+XS6nxK\nw04yyST/5+RaAJrk/55MYDnJJJP8n5MsUzHJJJksP/IlR6F5fTwe4+3tzS6vr6+t9eFwaEV5s9ms\nSc2tVqsWRdY0KO8DRcd+TiXgeEgLrNfr1vF5wfnP53kcMeaBxvdGX59Op0YfqhNOmex2u9jv9y0d\n4f4iTbdYLBq968JpvEvOOeI8ZcT3s2+9uzQ2tmFbr6+vzaI6xAJdvr6+tuyddYnXpbSo6pVtXO0c\n40dtm8dqptshdN1F2L/wNfE2p/+wQPfshyDQq76GD+KyAVKtLk2d+SZej0lc6Yx1y74TdsW+m/XK\n76mtsa3z4nwUpJSGxfZ6vW7wAfdJ75fes1J5oYtcDJZOuU7J+/2+ukDhcCAMlOv1Oo7HY3NMFneh\nrBx8hx3Ifr9vDQAo2gEnjsvOqnb8MUgtiEHNku8B6pCoFaO+po6GHSzqOafT6cxoHWC6QeIGK95n\nJ5OBaF96LJ2vguPz83NLhz9//oynp6cGNF9eXloB4nw+b2wd1+gWBksEKThP2PjLy0vLOXA9eLlc\nNk7POTL8Fs5hrAK987VoMA5bfnp6amrrCFjY77ButVYG/5A5ZNZzDTDHLBpsuUV9NgeB3NfgSBDs\nLKIdlJT6DyKiCpSLxaKpv6PuuNlsUl9UC3S6yoeZpUZ4DDQYvMpYHFiy84BCl8tlA1hszG5wYxvf\nY7Dkc2FFw0Gt1+sGEDDYcF24efP5vMU01aGPTUqF++Px2ESFbPjsYODsWSe4twyWEBhoKQIvnasy\nYSdD6LwWdIBVQpeqQzRNPT09tVgnAg9cVwaW+prBEnplG399fW2AVJ3+arU6u4+Ozbv1WER9DrMd\ndtQMlNyMBsDEfdDAIiJa/gd6c0CZBYT4DdbbmHTIoqSHsxMchLDvZj2y79jtdq3vKbuMyANBt5RA\nEtsOKNkXqT/6DMC8Kg3rFAwn0oVZ7vf7VhQSEY2xRryzxVJaEfugZGYwPKgAdvP5vIkaN5tNy4kx\nOACA8R091hjFDQBdOzbkmCUCB/69iGjpGQyzC7PMztWxyi467oNp1rIosHMNOri7+OnpyY6RiLat\n45qwdg64xCxfX18bnajD1+wJrkHTsGO27Yjz69VU68vLS9NJ74CSg3QE1tz5yI5amSXbd5fU3kdT\nfX2K8+OadnU+2zHLzN8oWDrd6b4SUOL1zc1NA5ibzaYTYA6ehs3qksooHcNEO7Gm+JjRId3HqSPX\neozvujTsy8tLRPxTZ1osFg1Q7vf72Gw2Z0AJYFD5aPt3n1JLrbhIEc4Fjv7h4SEOh8OZQWnkxwy9\nlqbi39KsAN/DTPS9rwTKWh1HsydglpqGBVg6ZqrBGF9jtmZHgvPEuTDT5IBQ60n6eAACQQbMsYIm\n2zb7GQZDfuQsA8yXl5c4nU6xXC5tDZnTsOp82b5L7Oh3kIytu2DEASWvnX27NGyNNXZ9j8Hyt0jD\nakTCaZEMJHVbGZumRtTR6GDnm8OOhMGcmSbA8ubm5qxIzc4ENzirWY1RnK6U1XDqkJ08P9/68PDQ\nOHMXSWNxdR2XpsrOtZQlgDD74ddfLRlgajNNVvsFWD4/P7fOW9kimKWrdbnvMLPEOSnT1OyJCwYz\nux6jo2fbyOwYTrzGLOGPIiJWq1XLoddqls75/q5gWUrD1oDSASb/rttWsIQ+ee1SpxmA8nOS16Zh\nu96vq5kllKwdgaVapSu0M2vRfQzOLtqHwTtmydtvb2+xWCwaVslNRsyM8T12UjWnPgYpDQCuQZRq\nlmCWcOS88D0Cq9S6TsmRuHNVZpnpVEHzq4XPTUGSMxZgNmDorMOfP3/Gbrc7G7BuEDuQdNcP3eIc\nYau433gf9Xi2b9epOObgL6J9vzUFruUEZpUZYEIns9msVWqI8MwStl0KBn/XNGzmJ9iXl9KwDJga\nBLpt2CY3WfIa212Y5WazGX8atqbkLiDJi4vWeN9isWgdq7TNylCWBYaJqIQHDqequJ7Dv6VAOVZx\nrLI0CFzd8uHhoWHg6/X6LEXONZ1Smipjlpry4waqmvThgPg+l1hl5rCZWe52u1ZAsVqtzjIo2NdF\neKCzjbO9zufzJiDMGticTY8NQLN0vfobteGsuYcD5Pl8brvfXYkhCwbVAeM3aoHPGEQD1RKzzNgl\n65htWmuRbJfaeOZqww4DdB+yg12Y5WBpWKdkB5TZWo0Wz1GygjXqcN1abtHz1H04DvLd6kzw+wqW\nCppjlYwNKfMvASUcPddzwDIZNFerVWw2m4safNg4GTAjogqYQzFLzWQoS1c9Qodo8Nntdk3ku9ls\nIuK9sQfr9Xp9ppvSeen56Xdms1kTeWuZQZkl/9aYbNudC9u1C1R4+sBaGnaxWFSZZakjNrNvZ+tj\nFRdY63PDyigzZulALeJdpy4NC3BTsCuBJPbpFHa1muVnAOaX1Cw1KtG5AnmBEtkRc1SH5y35OOq0\noAAtMrti83w+P0vBauSNOhCf2xgdipNsAGhAowavj45wEANwjIgWWNYibzVGTV2rLhGkKGgyqPbl\nhNSOXO1XHbZ7dGS/37eaSFBPxLaCZVbz4aBC7Vpr+bPZrJU9cTVL6FptWreHcPrZGNOmQu5G1ucr\n8Xzr8/Nzy9HD/jFhQ1azZP9Tq8lnQeGYgTNjlaWapatbYuHxr8FHxHv5QJklB5IAvC5gqcyyxC4/\ng1VGfBAsGUhcLQbKwEUgwuXHMk6nU7y9vTUXxxeqhopIEsd7fX1t1blw8/n8cINwLDiG2gwPWYrl\nGiV/tpSi7qz5AdsAQ55Zxj26o2kSLM64oVO+F1zX4zSh06mmalT/OK8+gVKDLNfoo8AF0euAralO\nOTpm3ZXSoxzMMThCXJr1kgXHHEL0uArc2iOR1d/5kbSI8wAPtS6dbN4tNdZSA8zfQdS+uti5s3e1\ncV3Ud7gFYJnVLfk4DJT8/Us6Yi+RD4ElFKSAidTd4XBoDPPm5qblkNlxvr29pYrli357e4v9ft8c\nS+sXfMP1/PTmus4rp1AHkkMPgC7ORCNu7VrjbkFE2m9vb63oWmc5KgGmA0ttwtB6cratdWtkApgB\n9X0PHMPMHAmLSztx4wj0B6eNaywBHQMlN/bwuWaMs/S7+C6v+5aujFqZPQeEYJPZzGBw2MfjsfUv\nLPqvLLwP94gdscugZKxlaJ9REmdfNaB02TVNX7Of0O0MJG9ubprPuoY4Xes40uNlk0mUmrJqcjFY\nOkagVJmZpTbOsHLf3t5sV5Q2RHDXbMT7wFFHyufotiOiE0iWaPtQoFlzJhmz5KYHTrMCLDmQYaNX\n567GiYWdh4IlmCX/dml9PB5b9Q5O5wwBkh9xJI41O7BkZrndbhu9KTjrmhkoxgDXLUuAWwJN1rdu\n9ykZeHOwUOrsRsZEZwaDg8X1X8Iq1QnD5jOgHEtw3UVKwVUp4II4O2fb5vWlzJIBUsFSU+Xso0pA\n6Zhl1/t0VRrWpZuWy3+mqmNmqUV0ZqF8Qfqogj62gJuLAcOpOedY3boElLVIcQzGX3MmrkuQQTID\nS2aWLp3imCWiQXSwMevnmZP4kQYFSd4upTRdRNuHrjOgzJplcM4u66JAqWlY3IfMUfGjUPw5l4Yt\nMcoSYOL3hxC25RpYMrPU7kyeVlDBMuKf+1P6r0+8vr29tQ0oNaYyBj9RkyzLwHq+JA2rNs6BINZs\n8yWwVExR/6x1zywjmT23+dFU7KfVLBeLRcMMgPpaQMd3cDGHw+GMkbptpOQYEBxYKqN0Sy0FqwNg\nTDUJ50A4TcX1HPc4A2aU4TQsM/+I8zSsRm9q8CVm+fr6GhHRBDtZUKJAqwMRDEr18JX34BJmyalQ\nPm8dH6pTACUzS07z8vFYB8wqWQcZi7y0jtm3KFCrffM1ZN33DJbcjMVgGfEeDDom6f4g2znirjXL\n3wE0I/zz2WqDJRthZslgyXq8vb3txDAVLDPgVMDMnt0sscpL78+n1iyPx2PziAHA0DFKKBRgWSvm\ngnVgEGj7Nm64GqpjMrUGn1oadghxUb9LoZXSsOjQRHOPNvgws3RRWwaaHNgo+0eKnJllacH18P0r\nRbRf5dhVx65mydt6L9hmFChds8N2u2305NjrYrFo6RNBKXdt43zVuZVSslmAMoTo8d05Z12bDJY6\n9VrEu+9hh94lDbvdbosP0HcByjEDpss2qG1fkoaFXpRZ3t3dxd3dXaeUbAksXbamlJnMfDzjxpcy\ny1IKlhW6Wq1SoMQD0xiwpQVOWGsVDiwzwHQUvgtolpYhxQEls26XhuW5SvUxHn62VI3OpQ550agv\n4r3pBA4uM1gHlhHn984N0r50rE4kY5bqQPiaajXLm5ubiIj0GWLOojid6jk7ZllimO77Q0iN8Wr2\nJHtm2GWYOJiLiM5gqf4i8xs4Vmk9RsmyJ87Os6CVg0IuvwEsb29v4/7+vgiU3ETlCIu+dpnBLiU2\n9e+XyKfULDkFC4Xqc3kcdby+vja1zIwB8vp0OrVAgI2XwVLPTx25M/Yu9csxgGTmyDTydhG3Mkt9\n9j36mEgAACAASURBVLL26EipG9ZF0xrZuzSKe51lK4Z24F2diANMgKWr6XD0DRt3zxPP5/NmBioE\nRNmgVzapgFlb+HeGlBJYlmZQ2u121rZ0X1ewxPeyck3GUsYMkBCnX7XzS9Kw7DcAmLe3tw2z1Oci\na2DJvsDt0/vg7k0NWy7x6x9OwzpDVGUyQEGBPJkAmKA6XF1Op1NrYGCWB8cs+QayYpE2uZRVqkMa\nwyDIHAkzSzezCf9llNYl+J7poyOlblh3PhHRGmCaBsuMW+8ZGNSQzFL16x4dyWwvS8M6ZgmwxPzF\ni8XiDCgjommKY7bp0rCOWSqAuvs2FpDkbdW/dsNqgw+nSvk+8H6tTfKam3xKmRCXflUZg79w4nSs\nenap2JKf5X4VZpZ3d3fx7du3KlBmYKl+2DHOGsB+RobwqjSssoAsFQUluk7CmpxOp2IUzTeYU1J8\nA9lhuZx2F9DEb/K6b8nYAq7fTVOl09k9Pz9bJ6mAls1gonpTFuMctd4LvS+aVsS+bIAOJepgIs7/\nRUQDSFdqKA3WjPG5+pFLETvb4M+UAHJowKw5cHbi2axhaCrDvcA2pwndJChaj2RbdUEzflfPf6zg\nWJIuGYeSTTg84DGvY6JL6rSUii2BqNsuEbJL5MNpWD4wp5ucArMlG9i6T2eh0X9TQMqKbxDOwTGl\nrs/g6HUOJbUUCRilm7HH7etyb9Dqrd2unA5De36pgxP3RVPgug37qQFlX/fBBYUu8HJBGDteDuJw\nn8CGOEPCzDJbsn+CKP1fZVdHOHQwkgGkYzvusYau7EedLh9bmSvPGqbOm4Mg5yfUTscKoiUfUGJl\nLKo7bTCE3+XPuHuJ9zTj5NY494j3/4PVYKXLPbjkvlzVDYtBXhpsGRNFmg3sEh2ZmiI8HA5NLcKB\nJc/tCiOG0tjJdXkOx6VcVflDssrMYcDIFBQdaOIfFxzL422kUXiGHjZKgGV2PrxwdgEL0okAStS8\n8bkxsEq1V74ODOrSs8GYfQp6w30CWCJNiGvM5j52qUfYPzdpuaYj1WOp/jRm0MzAsWu6MKKdbXJg\nyWMJfqWUhsX5ZX5j6ExUSTLgqDEz/T7rkMtAXEuG/1CgZPvm1663BD4BQImMI4Sx6FLA7Cqf0uDj\nBhizR/6sPkYAdhLRVjgvGVAqu2SWEpFP3tt1KiS91qHERb7qUFVPJdBE8xVHzNoer9PZsXPBPZrP\n561zydaz2az121mDDB4Lyt7v8z64AE8bxbos+C11Jpi+kQEsa/DhtQaI2Z+XZ2nXMTLLWspZMxYZ\naNaAUlkl25NL8zqwdOUatk0cQ2WMgAmpZZlKKU1IxizhO+D71Z6VGHEQzUEn31MHgDXCVnrdVT5U\ns8TaGQf2If3GNSsAJdZ4H2DpFK7/kJH9Y4irgyL9x4XnSybZHZOB62BmZwnGkf2Vjm5HvEdiEdHS\nj86xyH+bw46FzyFLGfLkEW9vbw1Q8rRjbOB6H4dilpnD6JqK5WCMI+Dj8Z+6Mqe0Ye8uReW2a8xT\nAfIa8Oxb7xmjdCDZJQ3LztVlCZRZqv9hsISPALvBPg7kNCXLNVNlPGMQB3zO5jMQZWFb5kfXmITU\ngmrcUyY16gvceQNjXPrdbX9Urp7BR/fxwjUrpCsAlJx+fXt7nwydU1UZM3I1Szhjl4bVZ9yUXcLw\naxHWUACa1VQ4YOCgosQskYaFI4eOuN1bZy7JapZgQ47pqMPhiSjcAIiIJr2ZvR/Rb4SuDlaBUreV\nnSMiVkaOf2JhW6+l2F0UXgKTS8BxDOLOywGjA82MXbKwP3BpWP4NdvjcyMb1Ze7TwD3mwIgZJ1/j\n2AAzwgNlF/+H16w/1Z2Wbhw46sK+Qp/Xz+rE+MxXAuZVYBlxXlzFBSlQYuH34GzVaPXxBwaBrF4J\nRbOy2Mnpc4OXNPi46+9bdEC7/w6tpWB3u128vr42qU7cM235vr29TbuFI9ppWE6H6x/HMli6epqm\nrxgocX5jYJclwHQd1lqbVb1FtOuXqMeo03D72A6y7ew9BiHW6ZiAM2PECoal5VJmieNqMIoSEYAS\na4AkvsdjA8JMh0FyjIDZFSQVoFgAhvBNHJCwbjP75vuL/zB2bNL5aa5X6nXx2r13iVzV4APR4io7\nwcygYVxwphHn/1aBbqrs384dYGoa1tUss8dHNGLB2hlHnwbvIl+Xqi51wPK/MSBqY7BEnRJgCSap\nhhnxPkPP4XCwzSYK4gBL3B+N/LDgOdxSGnYoZglneTweW80GWResgiWDFNJGrNsai2LdMchhrdsO\nHJ1OVb9DgaYySgXMEpNWe6kxS7VndeYYW3zPGSh5YdDkY3Fq0F3rWADT+bmMOJRIhLLyTLelrIkC\nqepUg1UmZgqYzo/z+iPy4ZoltrOBl0V8+pprYZqa0tSiTtOGLkCu12g0kjX4KLt0EadLOwwlWeTL\n/+mn9UoHmm9vb7HZbFpgibQsp2E18ubzYKfG56Asl8ES90aF9V6rWfalf+ccHLssPTrC3bAQ58R1\nvDhQYKbN56jbHMxkTKu2DCGO4bK/yHRyKbPEknXDlphlTVcuABxarzUpEQO2+xq7ZP1x9zfey0Ax\nu5cuQOZyGr6HoIQB8yvlqucssa2RKfazk8xSRnBA+C5HJzqNlWvuydKwCpTcwFJKw2aG4a69L8E1\nsaG56b4UKF2DDwyanS+nYTGLCe6dOi49F/33B9wfBnD+LVwPdMkApANKg58+9e+AEkzjdDoVU6+6\nKBDq4vbrPg1u3JrHnAJPCTT5nui6L3HnVWOWGYA6gNKAp5SGhV2rLt1vO5BU28mudwzssgtglpgl\nB2gAMA4U2Fc5wMxANCM8yNYo63ep2M9klRFXpGFZOMLIlI9tGKCL1nXtmikY2LLnIyPO0wLs1Fer\nVesGOiddSjnAGPoydnYcLg2rzU/u2kqROL9/6WczkGR2qfcZBp85NtX1UOIcLKfiEGDwtF37/T5u\nb29bncBZ/ZH3dQFRHV8u0ncRv4IPjolrcsHQUOKAsqtt6vVpdzbq9fgzeT2epmHRpMIBUbYuBUrc\nTId7VVr3IVkwyFk4nebSzWnMc/GqXlx5K9M3p767PJqlgJ3ZMfvqa332p4AlRFmm7ud1lt7SdCnq\nWDD27FlJpuGcEuD6J99APYZ212q0rkru24m7yDdLe2YzuvBvKVPVoCIiivUh7HOpcT0fHgAaPao9\n1Jh9H+LYAQMldKiTRrv6OV9zaekCAsfjexo7Yzc4fxYFSoyNLAgYAjBdCtaddwaaLhhQB8wd76Xg\nE/a7Xq+Lnc/s1LXEw0uWDs4IRV+its2lAzy2oXO4Ihjk3oSsGVD38T3g+67EZrlcNuusiU7Bkseq\njtPPIjdXNfjUGEGG7A4w3bNqiGT04evapAJ8AzhC5GPpfwuqo+OU1+n0Pj8trq1P0WjMMUvXLZw1\ny2jk7pyFgmmWOslmlOFt3CdmuuyQedCWUj59igPM06nd0ME26uwnIhrn43TnarTO+et+lxrndcYu\n+X4zu1ws3ufndanZPsWBZtdAQq9RwZJToi5IxP3ExB1dwdL93ys30UE48OY13utT2LaVzeERvOPx\neMYkdbwD1LTvwy14TE+ZJvu1xWJhgTLrzFfA13GiQHkNeH4qs8TJZ4PMAaamABjI8HdezHgyZomB\nH3H+CApHIvP5vGXcm83GzjMLgMR3ENXDafZt3KVI2KVhNQXrmKWLwvGbp9P59Gu61u9kj44cj8cm\n9e3qEhF51I33hhAGSWfTnIaFzpUBMliW9FkCSn2dMX0c1zFLvt8YG3A6WgMaKhWbBXNdATJjlq5M\nw++vVquWb3F9DSXA1H/jgR04oMSi/mUIn1JKwUKXmnp1z7gDBDW41G1l92qX8/k8ZZYM5kyMWKfO\njnGdEdfXiT8dLFkUHHUfXmsqgNMaDJjYZsNm1sI3gdOVrCwGS/wJtTMAjbLZaQ6VotI0rDJLxyoz\nsFTwxXfwewyW2aKTD7gFjoP/nk3TiqU07BhSsa5JYzabnf3tnEst8/taR+N96vz5Hrn7pd+fzWat\njIhzSMoskYp1mYc+RdO/JdDsUlNnlqIZCw2keRKJ7PGfLmC53W7PMguaOeH0pAIp201f4nyvlkgc\nSLKfBFiWUspY8/2AsF/DdxUwXe+KgjGyIy7Y+yzQ/BKwdOwyA8waUGoE6FglFscsWUGIXvi/BLOp\n8/Cd7Br6NmyXNtUuVHctji0o8DpmyQ7FASPvc5/j7dPpZFPDGoy4VOwQUgJK7D8cDmd26q6Hywil\nwKOUVsXv6n3CwnpCGpZFwZbBRAFoKMDkc3VAWartZp/lAFr1ACfPZQItBZWaenibMwvM8COiYVRo\n8kEan2UIW1eg4Wvie8C+Usc41+VV1H5w7cwssR/3DFLTu6Z8+dydv2PdXuO3v5RZRniQxLa7YQyY\nzKK4EcdNxZbVLCPaj6QwWO52uyZqUmfG56/nOzSzVGDD86il+XIZKN3vac3yeDyeOeWMOdaWiCie\nUy0FOybQ5H2wSQf8sEm1rSzAUGBU4IIT4KYpV/vRlKP7jVpz0RCA6RjlJelYBUsOlPn38Zms+cTV\nx2rsklOvOG+2G/g0p9dSmv+rRf0vzhH6iohWmYoXth/XHKbXquRI7ZaPiTEBdpndK2XE6ltwTGXx\nLJeA51Vg2RU4MvqbRTY8gS7AUv+I2KVKmAUgesRvoHCMaL/0/5hICbAMadQR+SwjXWuWCphZfQe/\nieYdrUHqOqtn8hqpFT0nTVOVQBOf60u0TMADj53ger0+c34c9GHiDGXkGqWXgJKZJf7JwYGlY1N4\nz9kPp91cRN63OMDsknpV3WlaD799PB4b38LOlte6rwtY3tzcpJkFzpQp25nN3h+q71sYKLk5Rs8R\nYOkYJT4PkM3YPgOiuydMcJiBauCixAj6VVt2IO3kUpb5ZcyylorFa75h2g2LiwdYuuK7thOz4nEj\nlCFsNpvYbrd26jw4dHWWMOohnEmNWWZgWapZlpgldM+/5x4P4QiTj6cLwBKfV/BmWygtfQqOp7Xq\n0+nU2AM/FoDvaNCntpUx9IxZ6T5upsC9RGCoAIr31ZG5e+SON5Rcyy412NX3uCvTNYpoQ0otLYhM\nDISBljvuI86zFUMGKUxW9Pg4R30iwWUkNJ1faj5TYQaI1+yPMlaJewAGmgV9JUJ3qU/58jSsirLM\nWjfW6XSybdn6F1LsuFwKAOv5fN48TJvNNatgqVHgEIbtnJ2CprI3jXZZNApXwERNlPWj2wx+pTWi\nP74GiHNUWrvsW5hB8mvojQHTsQl2ktrRnS3K/DNmmbXdw7E4vWWZBETkGUvrU7JrvgYw9bfh2FmP\nrmuTt0vshlOA6ssQxMNHocMcwp8fCig1Dausl0tW2ojGY1jToFkA7YIxvjcR7xlBXTgtqzp2AN6F\nWV4qV4Fl5oR1XYuYI86nNeIL1kYIl8bTQV+qxWSgwywtYz8w7r7FGbc2JOjfQ8FR8xrsxKWtWReO\nBWkXZi2dipSKmwFEl5ubm+YzXIvWGscYxIFp5nBLKa7MYWYOBQ7H2S6zJQZTHXuZIxsSKFWHWEq1\nKtcMxkGCuwdZKk+bRbLgzS3Qs44fPKv5/PzcZL1g327cMFgNpXO2QzQisT/ZbDaWKQKwtPyi+0op\n2iz7pfbrfLqzXWWsnyEfBku9se51LVLuApSz2fufhqrCITA2/pzeqIg4U66yMwZM59ic0+tLdPA7\nNs6GnT2Co6k8Tls7sCw17sB58znCgbAjYaAsrV2KPWNLYxHnrDMn7L6De1jKhmDNbF0jbvyOY5UK\nlDpOMsAcg42XQIyDky6/U2riyUC5BsZ4reMHTXf8O6xn/AbOq5QF6kPnCpZY4EMY5PX88Swx+1v1\nE1zrZD1wyhzZAAXNWnYhwxX+rc/wHR8CyxJQlgDSsbuI8+d9VqtVa7+rq+B9fAYUXYGPOw1xXi4d\nxUC52+1akYlzbH1LKVJWYFSA5NeOWTJzQfoVqb2s65WbSfj81KFERJFR8qKAqQxgDMIpWd6XLQyU\nrBfsR60xG0O8T8ESQOkafvh76mjGDJSZnWdsUG1OfysbK+4REffICHTIa92nwSYeR+Fz5PvHfsUR\nhL5E7fF0ev9Ta4j2j/B7uD4GS5c+dUDK/uPt7a2FDxCHHTVWmdnvZ7DMq2uWpUGesckM9DRvziks\nZZQKYug85H+6gHANwxm3Poax3+/toNXIqi/pklrShed4ZOBEDVGdK+sDUbDr2tRIUVmfi/oVDBU8\nmV3qI0FD1y/5HiiLzphGxijxOb1/Wl9j4dcANthqKWXNutLyhDotF6n3Keq0M0ZYYny139I6o05G\n4DIz8EfqnHUd0e5Gxv3R8cUBuNbd+tZ7Zrf6vushwfvc4JQ9EgU/xPsWi3+eTODMFvRSI1uXskrN\nslzjQz6lZtmVWTrAhCCiWS6XLUNX44TwZ2Bwu92u5TjwPWZAXZilgiUPsj7SsO63s2g7Y5UwUp5B\nBqkU7h5WnWCfpqcds4STxyBjffF5OoDMaphuqjHHmMYijhHxvVKbPR6PNgiMqM/FyswFi7JwBQ8N\nDrMUrGZu+maXWUCo9s725Zg8/0aNXXJwpt320KvqR3UGB6/BNwMPgBTCQKmsrW+dZ2AJ0UcyHNBz\nE5vzG/rMJP71hXV3PB7PbDcif5woA07+jpNrAPNTu2HdyZZYpWOWuBnH4/k/k/NneQCwcXPaAwbM\nxssK10idmaVjb66Q3JeUUlSOVTpmCSfpGmd4QJ9OpzM2mTX54NywdueVpVwzoMwmmxgCMJVR8r7M\nOfN9YrutsRP+fSdsq2ggccwS4saeAqZjl2Owb80sKVB2ScNqvdMFl5rx4MAOrF/tXoNM9TX8PjNO\nnJsCjUtx9q13+FwOfGez98ZJ7NPxjTmfawunph1Qsl4hjCEu9ar26myXxx/v+4gvubrBx61r7NKl\nYTVnng3YDCz1+TPcgNVqdcaimHE6Zrler89YKzuVIYwa196lZonrZrDEtjojNlroB7opMUs0WzGY\naNTJDqnWDbvZbOxkEwrqQ0oGnCVWxOkltW2XmcHvuNeHw/v/h2adw3wu+G1Nw7qO5iHrlXydGbNk\nwOySms8CS7ZNzXjgr9ZYt9z7gKCbxwz7G63j61hioNQAVpvl+hC1FQ7uYLfH47HlN3h8c0CdTWDC\nGSIuSShQ6hh3GJKxySwdew2LdPIpzPISoFTAjIhORo9t54xh2AqUuGFZytHVLBGxK2tVx9K3lNJT\nHOE5sMSgXK/XZ/qE6P3I2KQ6WmVPOC++N+yUspQswJIDAG3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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that *even without the labels*, KMeans is able to find clusters whose means are recognizable digits (with apologies to the number 8).\n", "\n", "For good measure, let's use our PCA visualization and look at the true cluster labels and K-means cluster labels:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = PCA(2).fit_transform(digits.data)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n", "ax[0].scatter(X[:, 0], X[:, 1], c=clusters)\n", "ax[1].scatter(X[:, 0], X[:, 1], c=digits.target);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ug2UNwBqgQq/c+VA2Hs5txi4FWL35aCLEm2C+H3zngj7uMAp8K9KpSUVatWzK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AuyBjO6oBdASQDGAHACeAdwGoch1qWATwNIBHAPwA1FYCy2chvEdj2KK90HcewtnD48CaiRAe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\nT0mvQP+4CjT+cAnI/7ON6idPnoBt23rjl1/cIWtZCcAMi6UIZWV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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though the colors are permuted, we see that in general (at least in a straightforward by-eye comparison) the KMeans clusters tend to reflect the true clustering." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Exercise: KMeans for Color Compression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One interesting application of clustering is in color image compression. For example, imagine you have an image with millions of colors. In most images, a large number of the colors will be unused, and conversely a large number of pixels will have similar or identical colors.\n", "\n", "Scikit-learn has a number of images that you can play with, accessed through the datasets module. For example:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_sample_image\n", "china = load_sample_image(\"china.jpg\")\n", "plt.imshow(china);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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U+HvKxEVIWK9R+EZ1SUc8HjlJ71RQRpqqDDZusZVOzZ+X0z0IMoEonrqiGbcF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\nsVcmoqdpE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3YfoaFrMT0nhrHr69FGpsjKbob7evA1tHBi3ylqF7XTd7KPxhXLObL3IItW\nXMSO3XsJt7dwYNdeOtZvZPfLr9By+aW89MzzrLvlBh595Fkuu+4qnt+5jzWXb+TZF7ewau06tu/d\nh78uyCQ2PSdOoCouhLEk6cFeah2bpcuXMJFOoAZDvPji65imSTFd5APvuJY+S6fojqCFfByzvAx4\nFzDoq+XQpM6ou46xxhZSag3p0AKM2ihTgkNWlalrbmeqYOH1ulixuI2f/uxB9u3bzzXXXFuRyb0s\n+Ga4atb5cl35KF13tt3cFeZsIXNubJWSUCuHcSxh3+XAUXMNeHMnjbmww9x7zjUYzr2ukub5Jqdz\noIkKpWru6gXKgnc23WpQyvloVpukqtVX619l36selDLzCG43NTVhsGwSsRjJTJy0nmHVJRfTVFeP\nWDTpOXmCuBZD8bnwhGppa+og7HdRNB0yeYNbrrmOkwcPoPjCdJ/poba+hU985OPIksPE+CiNK5ex\nbOFybrn1nYiGgOmGie5eFl+8mlShwLKFi9FMk3vv/ZeqGvlbJsg7G1UyxTHcVgtvf+fncLtrsGQb\nSxAxMXE54nRC5umEuRhnl6OCVfG9lF23Ks2a55ZKLar8d7UPqvJ3qCgQrI9g5QocPX6UaGMt2dFR\nZNsgn5giLEpktAyCZRHEYTCXw+X1kPP6yAkGmsuNEAwjBHxkHQdb8eEJ+MhZFm7VT9600V0ioaCf\nYlHD4/GiGUWm4hOEwyHyeY1MKkl7bYRcfIrOloXEh0f59c9/QzjayOOPPI2TKLLnyZewx7KYo4NI\nRgFXSy194xlcfg+qp4aIV8AnFylKHux0AcXOMTiZIqnlmBxOsWhBLYnxGOMn++lY1kHy+GkaOhro\nPnySi+uXcvzoLi7ZsJZdr77CwtoI3fv2smRVO6d37aWxKcTE6R6aF7bSu30/K69cT/e+wyy/bBmH\nX3mdJUs6Gew+zQKPF2N8lM5IA/mRAZpCDWiDvUQamogfPUAk1Io5NYFo5qi1fIimiaKIOIOTLOpY\nwuDrW2iu8RDvHqSlLkR9KELeyXG49wQtC2vRswLhhgbysSy2ZLPmonaOvnSExfVRBgf7yduQTsdI\nxtPkBIeYbpEu2uQdhzG3yrhLRK1rQnJ8mBRRbJ3moJeVXctxuwLc86lPI8sykiRSzowznUR+Gpmr\ndDN0Zo6zxkF7pp1QscPTmfYdL4Pildp4dWWkUnC9Of/uagJvbru5Anxu+2qGw/k18rl9qj5xOU4l\nRl99ojjbj2rjdCoOZp599frz9X1uu2kXUUAVJf7j3m9gCQY7jx+gq7WDBtXPsy8+i8ercvroYZLx\nBLrPzb6XX6KhJsJDzz5Jx7pVXLRwCeH6JhrqGpkYHyGZiGH7ZSRFIZEo4Fe9qJLA6d7TdLQ1MTTc\nQyI/hSRbhDwBulauZnBshM0XrePFra/QsqSTf/+Xb/z/C1q5564ldC1exa03fRldspEUBUOymcom\nMewcx7fv5fbb34leFLFxgWiUmMFxIYrGTFyKMiZe0laqp9260LlqpWTQEhijgMsl8xcfuJuxiRG0\nfB6PqmCaOm2t7YzGJhBdPjwYJGU/IVXCdgcxE31IshdRFjE0DRwHUXAjqSK2ZeF3RLKGhqXKeC0o\n5At4FC+2XcSxdBRZwtQdFFlBwEAzdByXioCGaIuYto4oKbi9pex+up7BFlVkQSWZ1PCGfBRI4sHH\n9Rs7aVvSzO4Dw8iKiWIK9I8lcOwmirljZHLQWucmG88ge9z4vMESVo9IIBphKB4ngJ+6tiBj4wm0\n8XEal7eRjmtk0gk666KMZvP4LQ+BhUGGjgziagzQ7quld3IQBwg3LiAzPIEn6MbvcjOa0rBEndau\nTuJ9g+THUrgbQ/i8XiZjGfwRAUVSyWazyJJIe2stmTS43DXkLYnuIwe49NoVyO4GJFMnHkuy/8Qg\nQdnGxkJV/Fyxsp3JyTj1HW0owSAuxYuNgIWELxgEEdyyjGAK6DIgiaiKi3xyEscwuf7Ka1i6bDVI\nLgxDB0GYtV9htjIwZ7v6jMY+GzaZ/lWVF6vBG/MJz/mUkGq03gxW/r85P399FY8WKCli5/T1XL/t\nszarC9N8c/35/96+/A5lUaT/0CG+/4P/5Eghzne+/i2GD53geM8pAnU1jHcfZ8+RY1xx2x1EHHht\nyxaWb15LxOclWlfPmeMn6O3rRigW6B7uQ/a4aG9ZyFgshVPQaKwPUixqqJKA0BIkPzqJJxAkG6jj\nR1/6IZmxGPsP7WU4NsKyteu44pLN1WGjt0qQ/8PfXEXUs4Bb7vwyRV3AEGwMd569h3Zi6FM0yi68\nnjDtHZeC4MMWDBxbxHFkJNkuRbwXmLb424gVwQbON6L58Mu5L9V2HCwsTmZjfPauj9EajDBspiiM\nxJFsG8cp0LqwFauQIZ+3CPlVcrqEI+poGRvVTKD4Qti2OZ2jUUR2+5FtAVsRkYp5CoaOLlgEJBeC\nLFMTCmAaDqZjgmVRNC1USUV2ixQtB8lWyeVT6EYBxa2ALYMo4jYFHK+OXlTw+LyIlhe3R0AXdBQ1\ngM9VoLE2gD8v417m5/DBftqbljOah4g3Q3xoiknTwCkKGEiIeg5ZciioPsxiHsMs4ornkMIBIqaH\njFfB7eTQHA9e8mgBsJCIFwSi5BGyKkWPguP2ouYSqJZA3OOmRhWxCgkkQUAq+kj4vMjJApaRZWVb\nHWeGB/E0tIAs4kMigkbcXYeMH8NyaI5a1DdHGU9qxMaHCCGzenUnqayBrTqkEiKJxATp/AQ93RoX\nLW3CI1kE1BC2lETXXdiCjG0XUGwJExEx4EIumqjBGkRVQbYhoHq5/rY7Wbp6HbqhIwgOoiRN5w8p\nJ3QQKnS8Sq2wzEfibJFUEextmnGrbmI7H59W8isw6/r5eH3uZFAZUnYuvUqa1ejON4mcnTSqZ7AR\nKz7Os32fPZ4SzbMrjdKKRmRuasfyvefawKpBJecr1Qyic2k5OJiihDk8wd4tL/PY/m1EWhZw3aar\nURDpPd2NahT47uO/4bOf/CvG+nsIR4OkT/Sw7dDrqE1BIrIbQbDp7ullcWs7RdPB4/fh9gTYt3cn\nG9Z0MZpI4pE8CBEfjWqAoZFeWi9ZRyhfi8sXQPcUWOBSSQgSf/axz1d9329ZrJVQbQuFmBtNn0IX\nwjiSn96Ro9jiJD2H9mCFvGy45DZEgpiWCLKFI4HoGNMxwMtRLhxEScS2yi+l/I9d9QWVX+DcjQrV\nGEFBYqm/ke9/63sc7T/NI889zkQ8iV4wUdx+BoZHuXL9RWQLGj1Do9iFNA2NtXiDFl7/MiYTGqqQ\nJ207GIYIxVIG+8RknqaWWhTbjdeyMU0b2aWQSGXQTBskCQcbNyITRo4aQcWyBWLpPGF/CJfkRpVt\nvKqHfEFDqA2i2EXqgl7SeQu1SSFShBQ6oagHKS9Qp0okdOiSIzStdXMwEwYzTTbvZ0OXzcFYlIwt\nIIgWXdYwugInCl4E02SFnCLtL+Cp9+EWvOw3a/Hnx1GMKJe3ZDmS85AcTVHb4KfeiaGHuujNjGCj\nUOcNsWLhAg5MxdGyNkJbiKtcjRwzCvjTBcKRThY2ayStHJtb6hjMJ4lPWQiuMJ2tQTJJDcvO43V8\nrG8P8MSZCQJmlGh9M+1KDkW2aW9pZ0dPL+3hegqTNi6fSNNlNorUhGlmcUQBXVhAvJgkUhMkE7fQ\nNQNZMqlRfLTWRQlE6+iZGMcxdD77xS+g2RKaWYphLjkmWNPJO0RxJvRTtXKWj6xKFXxO83PjcJ8P\nm64mkKF6TO5KHq7sz/kw6Avh3pV1c4V4NWF/PsPk2X5Uy8ZzdpIrG3lLNoZztfdq96hmI5ivVPZz\n/gmrlLuztmkBtqSwuKGNnnQSNRgkpPgICirPPf0oQ+NjrFi6BE9RI++V6Fy7jqmiwZpL17P1hScY\nmhiiJhKmYOYI+b0EakO8vmM/qk8lYRSYTMdZteE6FlDD3tMHGBucoiaYZNGNl7LtN7/mVLyXd19/\nA49u3z7veN4yQd65vJXGizex5bVn6bpmMz3HT/Pq67+jLSRT567HV9uAZphIThFDUBAcF4JdQBIk\nbFlCsMG0S/7f5bRqAOWwsryJlzrfsnPmGtvGI7tZubCLzuVd9A4PMVQscPLUadoWLWdscIDDR7vp\nXNhIfaQB2TtFKFyPmUtxoneCaGMtPlcNyakE/pooQXKIbi/CQIxEWiFSFyDsmAxOxQl4VUxJxu1W\ncEwR0SXR4gvQX0gQcSkIgkQ2P0V9TQDFzBIOunAEkbzHhRHy45L81BDCdjT8qh9VzuOxwoRqGlBC\nfnLWBLWdAWqbI7xxuEgoarJ0wXJyTho7N0Uga7OgcQGGaSDFTPwhkcvqFqDpftI9B1H9EZo66tEG\nTbqCUQJaA/G0gBhKU+uJsGSpi3QxjJ3eRSousHLFJfhx0dt7iILXTXvr1URMjfHMII4UpNMXxGcK\n5NIBBq1+ljW0ceDwKJesvpS0ZOCxdAxHZFW4ESXQhDY1hS5KXLu5BcuAfFbhzBt7uH1jM4FQCxvc\nQUQtx1TSQ0fXpaQmBvH7QownDGwEQq5abF0g6vMTkBWmplIsW9TJybEJ6sK1GIaIX23g+mtXk7dd\n08KxlLHKcUousQLMKADzCcry7wvhydUET7XrzsfDc4X+m7nmQmW+PpyP7tlz1bHs6uOb7x7Vtf7/\n7Rj/rwANFgimhibJXHTVZhYMdnDzgjABbxDHsBnpGWTvsUN88tP3gCiz/uqrSaSydCxcyOVX3oQW\nzzJ6pJuekVFGh2MsX7EYK6Oz8/hruN0+amuC2IbFwvZ23B6FzMgErc1RDC3GRF83f3g6jcspsGbt\nRlKJPPXe0LxdfcsE+Ysv/YJLVjm0NIXZuedhEidOo8p91DWupE5uRqsJsOvoVoqyTlPrRQj4EFxg\nWz6mpoYoaEma6qIITgBbKFu/pz8MmA6Jey4TVccWqzOXg0NBslAVkagp8g9/8Vf84N8L3P+jB3CH\navm7//N3vLjtBRTdxuML0uwLkRFkXEGLYBLaos34XBqCIxGK1iM4GYK1EvFYgZDHTXtjFAwbxycR\nbWpCsBTyeQ1BkPEqLkTBodUOE/SVUrV1rF6Blh1HkhrZe/A4dQs78NQEaRJkahf4SOWnuHhpLXbR\nhlAdDZM+ZL/IcDJJOp9gJQ6aN8zOU0k+u6mFsXiBxQ0WveNN3LlUpFhwI3t9pKxGtHQGX3CYdNZD\nsmMTJ5/bhVPjoyOykGZrEr8TJa/aWEYjSxrqmCyOEcrU425ZR2tuHL9fwFX0EalbgccbYjCvIucC\nrJT8FALQbCqYYgavP4+h12LU6ChhgbpIEK+iUS+GOJIzWBloIl2wcbVE6YtJbKzVOTEZp7PezxHF\nRdDrwRsNsCEYRQqqXHJ5F0XHz2vbbNZd0kCNZxWa5SJvabidG0gXRwjJYMsKj/zhOW665Rp8tgCS\nTMSSSBcdZFNBlJzprFMlWKwySFY1WGFuORe6m11firVf4rISHWb+rqAyc/4sjUrPlvK9zuXdMjxR\nMjSeHyufLfTOCuVz+322P+V7ln5XfHtv8j7zIx9ztWSH2Qbe6hr0hbTryt8XmhTKYxCFEkBmCQ71\nCxZQV9/A8VPHGZpMseGS9YweOIi3oYbLNm6gr7cP/6VrWNzUiqbbeGv8yLZBJBpElkVcoSAL6heS\n7h9FsBVymSwXL1/Bru2vsmBpFyOD23BZRWTHwpZ1gm2NLOlo4KU949y6cQPJ42MsjCrAtqpP7S0T\n5G7Jz6FDv2Zh5yKkgsbEQAqz2eSVl7ay6Uo3uq7RGq1lMNXLQGaC5OAEESXI5ps/xesjexk7tJtr\nl65k9ap3knQJqJQNJaVlr1BlZgcq8LWy5n7uMtlxShlbJEFAMHQMCQQkxFSWT3zqr9E0A8NO8oW/\n+xI5r0DxyEGGRZ1V9UtxuW1Ubx2XrmukYIzh4KJ5oZ9EBmK6TarYiysSZUXnAjzCKFmhiUWOguKr\nwcBFwHDwOiKiImIaNl7dxHYVyGXTeEMidraIIpusXN5BPJOnXlVxhVzkUzkypsiL27bjERXyWY33\n3X4L8f5h2usaibv8pMdyPPbcE/zzP3yCjGEzOtbD4OsxjhazPNA3im7Z2BhQNPn83TezY2ea5hqN\nUH2egeFTfKrjJnpOnuHMRJqclgfDYHmXn3/55kPEYpPIkoms1FHIpvD7vCVXQMvEtDUkycLxuOmI\n1vOxO9/O7mND9I/1cuWiLqJijAOHM9x25WrOHD7E4GQOXzTK86/tIlPI4lUcbNWNkxLQ338rIwMn\nueWytax0a3z377/Lu/7sT8ibDvd+97fYQobv/9Pfc+zlZ/CH38GixhZ+dN99TFoOTe4Aplfnix95\nH/HUJPFEisVNjbz87Au0L2unpb6e4YFJCsUkqupBFl3YdkkznxthE5i1O7AS3pgr6Eswyrn4cWWc\n7nNzTJYghZKgnBsZlJn60v8XoinOojub1+fkyDxbM4PnV977LM3y2M7CIfOVMnZ+9j7irPazIaLy\nGMvP81wIaa5QrybE54bemFtf7R0503Kj/P1bto2kuDCwkTULywWNdVHMgAerqDE6PEJ//xA/+cUD\n/PLrP+Sh++7j0S0v8qV/+3eiRYn9O7bRsXw52hMP09RRhzExzunMGG3N7ajNzbQ3tvLMxPNcfdel\nvP70y0i6G7lWpGFBDfHRAfaeeYprLr2WRx7+CaZWw9tvee+8z/iCgnxwcJC7776biYkJBEHgnnvu\n4XOf+xzxeJz3v//99Pf3097ezsMPP0xNTQ0A3/jGN/jZz36GJEl873vf46abbjqHrq37GeyPo4gF\nFi5ow86n8DtRvGEvU32nEX0Ou1JHaW5YiRwOcvTECHdcfS2jyZ101ofZdOOH2LnlKdauE/HYKpZd\nKLGGUIoUJ0jMZPgRpoV1+f2XGavkBVN2J4NZFnNRKGfvRHRKWWZsWUSxHERh2rfaMHFEAU9NmPpC\nDtGbJ2hK5DMZvvXrpwi4ZfKFInfccgXp9DCLVnYwGQvjyh4hIAQZmnBhCCMs6OjkgQd+i1vx46Aj\niPL0Jihwe4IokoatWXzm059kKqGDrlPMjZDsnqJ9uUg2k6exqYPeU70YeRtZlSjmc7z62laWLl2M\nYJtIeo4Trx1jRSBI5vQEZr3KxUvacS9dyc+/+M8EfH7SyTymoRMKBDl+PEFHq5v1yy4lnY2xabHJ\n7/7r+6y78VquXlfPWDLJeCxF0TZIp3XqG6NYaGAotNY3UsjlEdwhioZO0XuZ1QAAIABJREFUMpVC\nlmVs3cPkcIYd+46w/8gBwuEgKzcuJxhcw8lv/RpVr6VtaYBXDz3H5IFT+IJh3JaE7uiYugOWxkj3\nMZKJBKKqEIzUckVzG5dEo3zt/p/T1daAJ9yAV9GJ5PLcuGg1E4rEwOA4ksfLpJOn4HEYm9BpqKsn\nefwEvd2n+X++fC8P/fJ+2iLNjO0+Sm2kloKml1SCaWFa+dHPp5FbVkkoVhrizuatPBd6mRsUqrLM\nhV7mriZLNM/d9DY/Ti5UmXjO3qNa9L/KAFTVxnu2X7PvPXcscw2ojmPOojcfzWr0qm2trzZBzdfn\nyn7O/dtxHJxpI7RhmkiKiFI0yHkE9EyCqWKG5x97mus/eCf1dUEmYyk+8t4PE25q5Pi+k8TODHHd\n9Zt55I+/4CO3vps9h/fx4o6XWLR0MaamseN4D6suWce+7bvZFGnkpz/7Gc1LF/PUI4+xqKUN8kWa\nmutJjI7iUaI014XpH+inoOl84u4Psah++TnjnHkOF/JaGRsbY2xsjDVr1pDNZlm3bh1//OMfeeCB\nB4hGo3zhC1/gm9/8JolEgnvvvZdjx45x1113sWfPHoaHh7nhhhs4derUrJcpCAL/+I/reOONk3Qt\nbGFpRzPDYyZHe46zZm0nfsnNeN8QWbOA47gQvB5uue1L9MUO8sxzP2Xj4kshUkMm00+LdzU3brqH\nogo4EoIgY9k2giBNv0B7lpCuZsyZvbSdzSSzrhFBsWUQTIqyiIHAv9/3HYpHTjBx8hTXXnMRZ+IF\ntICf5x/bhsvj4FP9NEXCLGxuYOWyJby8ZQ9RIU/nqmUY/hBPPf4Y/sY2znSPEJREoIgliliOiG6Y\nWKaBIIpIGMjIqF4fN15/JT7Jw44tL3HjTdfRMz7Grp17yeommmWA5dDcWI9p6siCRFBVueHqy9n/\n/FZq/CIf+otP8drBEzz8/FZuXnMZu4/swNDNkhteUce0bUyPiCNJ2EWR//rel3jguw/QlNV5x5c+\nwZe+9GPcVmkDlioaxIs2okvAIY/i+HGcFLbkxdZKqfMsu5TR3bBLS3FbsfE4ECvm8BoSt3/obRR2\nHsEVCnAgnqKY1vG7VYqGg+0UUX0eBoYn8YsSd9x2LRPxODZ57LzBO6L1KF0dPPDKDjK5AuH6EJn8\nFO9bvQElVMt9LzyLnjNYs3o1HsthX/cJbFvk8o1rWOp28YG/+TwptY6Qz8/2l/6Ab2yIrnfejWWX\ndhRajjMrC8+8H9I8Bsf5PDqq4eyVPFculcbOC5W5bWdj17M3xpT+P6spzzem+Yyt1SCLC5VKg+7s\n/lWnM98934xR83x9mne8DjiSgI2NZRj0dHezdNkSDu/ex+4Du8iaRdZddhmjp/rovGYT6yKdxIcG\neKX3GEt8zfTu3ctPfvc9GjeuRC7Y5FNZhlMZVje389q2V7nspmtZvXYdQ5kEY0/v5K4v/wW/++8f\nsifRxw1dF5G1NIJuNxNnegnUhbAkibGhGHgFFL8Pt+znD795peq4L6iRNzY20tjYCIDf72f58uUM\nDw/z+OOPs3XrVgA++tGPcs0113Dvvffy2GOP8cEPfhBFUWhvb2fx4sXs3r2byy67bBbdQ0f6uf6q\nmzEKCU6c6aWhcym5fTpjk1mGjh6gq24Zhl/haPc4t1zWwED3Hzkz3I8vrTAS62aqJ8HyJY10Lanj\nyOAWWps24PXUIggqCDq2o4NQXl5V31QwayZ2RMqeLtUe1AzzYINjY1ugaUUK45PE+4ZRHBlJcvON\nr32TvEtCq/sRxx55Aj1f4HTvMCd6eyjoRWQ7ScYKYilh/vjYk4iCl5EzPfjt0kQiKwKOoSMJCoJl\n4nLLKO4wKDqSbeBVPOza/iqK6cbnknjy5S3ktCJetxeHArJuY1gmCgI53UQXIJFK8vgzL9GpeAip\nIb761R+xvHMd3rxBS1TggK8RXwBiExOEmurRLYtiJoHtiBipDP/4+W/Q7PLjFBV+9IOHqYs0Uduu\nMhoTSPScYPHipbj9LizLZmIog6gG8ISbqPGqJBJJJiYTeHx+6gMuJlM6Y1NjeO0CnnSIkN8kOVLA\nbaukNYllK9dy6tgB/N4Qi5sXcPTYYZpqQ4wNTOD3qTQ0LeD4qV4SmTi1sorc6sIT8JHIG0QkiUUt\nbVh2O4+/+Aotyy+i3u8nRx47l2MsmSCsquio3HX3p/jl17+MLMrYtomp6fzi9//DB5avmg5GW4pw\n6DjgML+grcZL8wnpatdU8yqpFKDVaFyI9ps5X05iPrfufFr+3D5VavPnE7Jzr5nrMVZ5n2q2rLlt\nzjfxVaP3ps9PK3siDrqmET/Vy4M9h/GOxtm2+2W6LlrJ4y88TtRwMaxnWXD7u0kVUqyob6Stawlt\nCxs5dfoATx7ZhdtykD0SN91wG3ueeIEr3nULzlSCwYETSD4/7jof3/ved0mfHkDyuyAUQUklaW9b\nRKynD8mnok2mMXI6LpcHwyxiWtq8Y/1fYeR9fX288cYbbNy4kfHxcRoaGgBoaGhgfHwcgJGRkVlC\nu6WlheHh4XNoLV26DK1QLMFlssy+wydAD3H0+BgdkXYcM4CiqHR4s2BKTExqKFIWz0I3XtWF6IqS\nSpk8+8Jj+GpTTKTWEwq04RLaWNJ1JY7tmqNizw5ZOVOEUujOUuTE6owz89IdZ1pDsxEc8CkeakMh\nxi0DDQmfu5ac6EEsglgbxCxkiLrdjBcdNFvkzLEzRCQPo8I4+x/5A3W+IILLQdcUXLKbopHDFiWC\noSBe1cfE1ATBsErQE8TWiwhSEZevnnQugTmVwEM9tpRAVx0UR8DliIiCioqAV1ExVAvNNJHsIh45\ngIiCFwGPB1Q/+FwSlmNRG/BjGwY5RSbk86E5NjI6EjZTiSQeWUQUFCzbIhyFfMyLkElT646iiTKR\nkErWziLIKv5gEJscfpcMlknQ6yUppKgN1OD1GfhQ8GZd+BQdf9JCdYlEHYUcJl6fGzNpoYoufG4P\nBcvClty4FRm3YODzKORi40hWAccw+H+Ze/Ngy7LqzO+39z7Dnd885zxVZdZcRWUBVQxCgBCFSkAZ\npG6JdoRRqK1udbTCYTswHZIlO2y3w2E7sMJqWQ5aQhJqBAJaFIICCqgCCmqisrJynl9mvnzv5Rvv\nfM+wB/+xz3tZSFUt9R8dOCNuvuHee+45553z7bW+71trlUslGjjydhMnBJAxNzNCc6VD1lolLMfM\nZiPcyCQr3S7WpowM19hsJ1QMZAMPXFYIgjwnQmHbBmstUoYYTBGN/10h7D8k6v2da4xb4t7rAf5/\nKNV/vevwP9aR8Xruj9cGNj8J8H87c/iH9Sz6+xwmf/s9/9Dn/yGvfyOw/o/9bM+PW6R1KG2wAk48\n9wKnj7+IDCwvPvt93vbIu1heuEa9HPL8sRfpHz/P5J27+MT/8Nv8y3/2X9HShoqJSUmIq5IfffNp\nzMwQD999L9//ztc5ffZlmssdxvbs4yPv/zC74hH+xe/+Hr/yq/8l8yeOMzU+xvqF6xy7eZrxSpV4\nNEIEJdJexs7JXcCJ1933fzCQd7tdHn/8cT71qU9Rr9d/8gT8Panf6z33ta+eQJuUuBQjnePoPXcS\nznUYhCM0hCOVCR940z/m7H1tyu1FXl5dZiye5MyxlxkZazNar4Lrcdudcwz6MadOvUSgT/LQPR8k\nzB2pEDgpMM6gXFHq7/wQFyEUKMA5rMkRgcA6R2AdZuvGNm47EnNFZCaFwymFK4TQgQIjQ6zVOAtS\nC3KbIlVANaoRCoENFXEQYDNNFAE6o5QZ2sZhpSC2kpJUBAFgJDIIcSgy/FixejhEqRqhSwHdTcvw\naIS2FVqmiS0NSLQjUDFCKEIpEFKQxxHl0LGmoeJKaJFhpfSRpwyomBinNxhWDbAp1eoELrKsLS0R\nxVVUUCZrdahXDcvE1KQiUmCtpppH1PZP017O2DM7xMpZCFXMcK2KkDntdpNSV7Jv3y7WFpdxQyXK\nF68yNRmx2VPsmR1m+foCQ9EI1+UNZhjCiRQIqFWqtKKAcjhEKQyRcYlyWCdQGqsUNVkjGCSAIkoN\ntYNTdHJDbATD1RjV7rF69iLKKIKeZCoM0LsmWD7WIgoN2il2z+2nv3Yam27Q7bbQMqdiJHnsqNXG\nSfMmSlhytL8OHFihsdahRLB9PfivULQj9CPitiZbvaboxm4Par4FkFtNoBzOi6kIbOEE8WSg8wPG\nhNdntkBXCllMwCkix9eJnq11SOHrELYpxW1wtdufsWUJ8KK/K7YPrtCVtkFvy6Fib/HW26IubPdm\n38IAY/1+Wqu3e6kYGxQ4sL2XWyM4/LbslswIQm4tbtZnycLhMEgpvfi41WTsNUMsnAMnBMLij2Gb\nURLYrUVYCj/ARghf3eskCp8GuyLIcxiEdRgTIFSNu+++g3/9//4faAO7d8yy0drk9LmT7Jo5yC99\n7NeZnZymG4/zz377n9PYP8vqymVevXCeQdanXo8wpsY//2//a1avL9LrtHng7oeYa7bp7zOoOKe1\ndJrGQ7+AsHD2leeIKiELl07Q6bRYaQ8oOUlcmWZ1eZ1Wq0mn/8YY+w8C8jzPefzxx/nYxz7GBz/4\nQcBH4cvLy0xPT7O0tMTk5CQAc3NzXL9+ffu9CwsLzM3N/Z1tPnT/LJPDDQYOBmtl9hy4i2TQZWGj\nQ5CnHN5/kNroAQ7WE7o3Zri9vsTF888xu2+CHbOTrKxeoR7s58bZDpVKlbQVIScdizdfYeLGJI25\ndxFmirhInUUAwlk/C9vZovWFH+irc41SYXGRF2KMAIoui9tN6GUhpFLMZizSU+F8VO997QLpDJUo\nBhcQBAGBVESBIgwlNjcoJQkQhEoRR4qkjx+o4SyhUpTiEBEEhCpgbW0N0W4SxDFJu0+WDEilJSpc\nBdZoRicm6LW7hEohkeAs5VKJyORUVIlet0sUhrhEg4RKXMLmGQEwMTKCXOiR5jlxGBJKSVyK6CiJ\nQlMKAkKhsCYjCgJclpENejTqNVqtpr+xtMFoh5QaAeh8QKu5RhRJNgc9BJIsscQhNJvLhNISqwAh\nISxF5HnuW4bqBBVFYBOcFkinUc4QFIJzoBShkggcRjjK1TI6y6kHinqlQtJuMbP3ENoYNtX3GC2V\nWRp0iK2hVqrTMZrNmzeROifLDe0sRTuBdpI0yylV6iSDDZwTGOfQFIARBCCErwkqbnnrHBaH23K0\nCIcS3gkl7RaIO3B+CpzwQw0xxmAMWGcRcqtl861JWB6EBdp58BIIQiXJrSkCj61pQoLY3gJWKb1F\n0liQxbCKbUfuNl4XC4H1g1usg0AJpJBIFfh5Fhgo6CQptsTOYnEqjudWTWtxJ/in/fnAITFF4CQw\nxiLI/FkrFiUvRIpt0PaL4WtHuG11hNRI/HkMAlkEYRT7tAXYbvthhac+pRBI6T9bFotZoIrh7s6Q\nG4t1UA4DbwMtjsg6BeRIa1hbXuKbT3yekZEGV5euc+7KRfbMzbF8c5mdew8xf+Us/RuLXDj1PNWZ\nGjP1Bp/70hMcuPcI6ytXmV88S1TKeeKbX+bobXdz7tWXieuKl145wVt/5lEWz55k6ECJz3/2D+n2\n+vxf/+aPmJ1qsG96hk63RRAr5oan2Xvb/Uzdto8ffuWvmfyZo7z4g+Ovi9F/72AJ5xwf//jHOXLk\nCL/1W7+1/fvHHnuMz3zmMwB85jOf2Qb4xx57jM997nNkWcaVK1e4cOECR48e/TvbHZ2cpt0eMFZT\ntMobDNfbrLReYs9EiXd84L2EccTVjTNcvPAki+vXGK3NIoMDTIwc4O79D+CsZHxmDyPT++mbnExv\nkqWCpeWbKBmTmYBeYkh1SmoNg1yTO4eVAdoFDDLoJBndxEdqSarJshxrf7Ka7LXcnzVbZcNbdwYg\nBBKBRJJZh3YOMAShQEqLxKKEIxACtZV+Oj+tXUlQSH8TWg8EEoijCFVEKlEYMTY6xtT4BDrPmJme\nYmJizN8EzhIJibEGKf1NJbCEUhCHAaGUKCnAWcJQ+QzDgTCW0EEpCCnFEUFoGK7XQGuqcUSjHBEo\nSS0uEThHrCRBEcpVqhWsTpkYGUYFCoGjHIWEEipxwMTICMpBOugwNztOFElwHhTGGyXCOKAUhTRK\nFQJAWA3O+kXWORq1iEgZhNPkaY9auUQUBIRK4rSmJBUS2HtgP/08QwhBtRzS39gg05pMxZSCmJYQ\nRMbisgzd7zMzNsrkyDBD9SrJIGGQaTqDjLSf008y2oOMsFQiGfTp9hLS3JLm2j+0IclzMmMZ5JrM\nQWohszDINP0sJzPQzy3dRNNJMgaZYZBbBrkjyS2JdqTGvye3gtxKtPPXTG4cGkGmHUluyC1op8it\nQFtBkkOaQp6C1gJnFdYI8kJAzox/X6ItmXGkxm8/tY7UWFKtSXSxD7kgtYrMKHIrGeSWXmoYpNZP\nWsqt3+/MkmhLP7f0MsMgNQwyQ6odqRWkRpJpSHJHkvvPTHJLkjlSKxloQT+HxEj/WqvQBGjnv+Yo\nMitJrSTVjkQ7MitIjSjOk/+abJ0LB9pBZqx/4MgF5AIyHFYorFAYAjSS3Prvc+dbMaRGkFlB5hS5\nEzgRkBnBIHPF38lidDFwIhD0sj7Lm2uUKzF5NqCfDDhz8SxZf8DJV17h0rVrrLX6jI/vZHUt58z1\nVe6c2MUDH3kfDVehS4kgD0m6XXrdLhcuXObClXkmpyY48ub7CdQYLx27wbkL1xFhwH/z27/DO3/2\nAxy85yhJPMyoHGN5dZPr587yne8+iSs5dpbjN8Tpvzcif/bZZ/nzP/9z7r77bu677z7A2ws/8YlP\n8NGPfpRPf/rT7CnshwBHjhzhox/9KEeOHCEIAv7gD/7gdamVJ7/7AvfvH+fa5gq1UpnLq+dYXlpg\nqnYP7STihReP8eb3PsL6tZuktk3gBO9859t49nuvcvx7p3nTg7+MqM3QvdqlOjRDo3GZiQmHGYyg\n2YfUTRA1etoDKs4wSDNAIGVMqjOkCsBkBNJPyA6UKtI9H03kWm+nmJVKBZ3npNogrWaQpoSVOj58\n8VF6kmmanYRyqHBGEACBFARCoi0EUoLLUU4SBj4kCiWEwqeVCsBa8iwnKpUJtoCyVKI/GGCtJcsy\niLd6tEuGqlVauUZKgbXae98BqS1OG6TPrAlU4KtfBcQyIOn2CISkEgUI2yVJNJIcofvYvPDQO4uy\nDoxFG0umBfU4oiRibJ4QlUJw1o9Tw2C0RqeSZJAQqYhuu025FJLrhCgMCaxGhQHaOCK87RNt0b0B\nCoGUiiBSOPwQ7h1zs6wvngMnUFIihSXr9KAYsCvDkFazyXSesnNmkuuXrxJWKmS9NiaQ1IYbTE/V\nOP7SGSIZUFYBQueQZ+TpgH6/h01TMpdjSxDHITodIFAkmUaGIdb6HiBJkhKEfgyaHqQ4aymVSmhT\nzOFUPmuzSJRQZK6IE63DWYdwGUp5J5XA4bTDGV3cG/74nPSvN86BAGscgfDtb50QhQ6gPI0gBLnz\nY+ccDp1rKGJ7hx8UbV/ruCm281qB0klBIEL/flO0f1WqeK/FGE85ShlsK0zG+f+EAGHFLVeS9gOj\nhRDYzPykPKVu8fFC+G3+HYsYtygkf0o8BSKdQ4kc57wld0vslNJtR/jg0MLhci9SuyIyd85nTlIV\nRgZb0DZWYLC4ot2Cs/64bZbygx9+m7GpSdob6/SM5tSJU8QlRWNsjDhU9NotItfms5/9FL/58d+i\ndf48japj7z376Sy2eOGbX2f6wO3cPzzN/v27uPDKC7z4o5dp9lMwPbqDhPgbX+Yt7/0Q77rrX/Hp\nz/wJr576E67fWKCdKfaMzvGej/znTMdlvv3drzA3WeP4uUtU50YIltbfEKf/XiB/5JFH3nDC9FNP\nPfW6v//kJz/JJz/5yf/gdu++/Qir6xd58LaDrLabkFfJ+hXCvkIMlWnUy1y4fo4RO0QrucLq9QpX\nNhdpba7yKx/9TZ6+1qViNbGsUFM5c3e+i+6508zsm2A9OIueD5ibu4/EhZR93spIvQpZjo4zGqUI\nLRyxDbEoWv0WldoYS+0NrLY0yhWEgtxp8oGmXCmRZRndJGN8qEG73cXKjH67h8MSCoeTEi0jWr0M\nQ4TFi6IW56NvVVTzeSsEtXqVENA68x0NtaWkAsIopDFUY3N9DWst1UrFp69OEkdlaqNl2tcXwBnK\nqoyrN+i12+RZRiAVUjiEUj7KD/xCUqrGiFYPYcFicUkOmSQsfNLTIxMspBYlLI1GncUgIHIFb5ql\nAChRQecGIQZUR8dYXW8ThWWEs1TDCFkKSbuWvpNobajVKqwsr/gKSaEJXEQ/7dOoDqEkhMYg05Qs\nHVBzkkgJVpo9ynEJqQTr601kAEoFWOWwgxSbtKmmPeavtTi6722IXp9qGFIJJKG05GlOCDhCIqFR\nIkQqycLVKwx0xq7ZOVyWoPs5uc6Q1pDbnDgsUS3XyPp9slyTCgVZgqhVcQYy7bBolApwTuEs5LkH\nLGscg36CCCTCODQakNhi9qbE6ytCym0Ak1KgjcECgVTYzBRJ3raQgxSC3BoEDm39CESfMXq6z8s8\n3iapdY5SBQXkpOfIncTYwothjRf2pbjFwxsf5QpAFCAsnKcTPbfv6QmlJMJ6KulW8QzYYh8lglwX\niysCURQNeebDkWu13Y99i/+G1zhlth1ht5wz1nrRWUmJROJcvs31CyGQeIpyiz8SBdftx9MViwb+\nfAlTePmVwr9To5zCkiGERQuF1SmbFy9h8oQL505QqlY4c+4Ch28/wmanjbAJM2Mj7HnTPZy++CpH\nD+zgR9/6GmdPnWR05zR7RyZ46tJFhi5vMnnPDh5/6y/Q6m4SdVZ54t9/DT1aoSRz5nZOYo1BTozw\nxLee4R/9xsf54Tf+hhde+TG/9JGPQRAxFo+zZ3yCQdJi50P3o//yKX7l1/4J//snfuMN8fSnVtmZ\n9bsIU6bf16w1myxnA25uNLneP0P13DSXbl5mB3WWe21qcw5XvURzqcddd+/g2I0fsrrQ4X0//xF+\n3Hqakckxnvzan/LwwQcZDCznXvg6B6qHGNt5NzdFmSRLGK1V2Gitsnd8iK4Ga1OEKbE8WGGiugdn\nBFlrlZmxMut9gTQ5/VRQVhFaOVorLSZmhlnvaZrdDIuiXC7hlMQV0VFuNDZzSBkSRDFGKJyxoDXW\nWHLrowdrPbWSZhmB2rpxHDrLCAKJsxolJdYZpDN4/tAgpMXaBGVLfrq3EGirsdr46V8IVCE+hWGI\nsA4XRGCgs9miZnMCYZDSEFhN10na3ZRAxGx0c2QQgXb0jUJnCS5SaOkBRFHCWUs1riGl49KVTdRI\njs4F3bRJWKlCGtLuraKtYHxygsuX54kbwwycRhpLc9BjemiY5fM3EGOTCCHJpSAyMLAJ41ZQqlRI\ngjLCZMSVKgGCShABEtXPePjwIU7cuElsFBEgTUSvazl3fp5y35DYjO7mCl1nqAvJtTjiUFxhfKRO\nEFTplxXGGga9Hh2jsV3olzSdfgfCEJNIdJrTiwQl5+hnGTpNfZWndjg0uXb+3BrjwVp4Tj3QDmEM\nRjgC5QFNOoq/pSNNs1sRaRFxOiArepXfAklbRNPS6y9F5CgLoPPRssFYCvEPjBVok+PElpDKtqCK\nUBjnBdtSGG5HtcYYnFD+GrRgnSFyGiElgVJo67BOIFAYcrCOKFC31FIL2hURtPRRthUSUUTgPrsw\nxWt/kqr0waHPLCmOWxTbMkXGZZxFa00gJXa7GtQXT4VSYnWxHVFon0XQ5FMYixBb/c49DRoKcM7f\nWwIwyTovHvsRL5w5w9F3v4N7d9/N9WMvc2DvHMe/8y3ue/g+zrx8gkhKVnt99gW7eOo73+LAA3dR\nFnUOHT3Mjl23s7F+g2ee+jp3P/KzJKspkzO7WTxzmqd++E02VhdIdEYlKjEyXOWuO+5j7WqL737z\ny+yvTdAh5ciR+1ho9fnzL/wpb73rzYiDh/nuV/8KWRKEYzMMxWV+9PJzTM3tfkM8/akB+Xq6ydH7\nxji04yCt9RTZyNn15js4f6HD2Owy7VaP1ThlogpTe2e5dO4yy4sD6rJFfXiK9fkb/Oipv2FmT52l\n68d438P3078hGKvP8uDoHIEWrK2/Qnn3/Qz6JSJXIhURziiMzsmcQkiDliPkQRMhYyAnyzTNpqSq\nLFo6YisxUhMYSTVymDxnYBxKOPIs884D56MKazSNMKDbaxLJHK2L1NltiV4SKSQKhzWGIA4RRUpL\nQYM4k4MLaW5uIpxvAbq6vlnQ8f4iXllcRsgA46A/6JEIidxKt/MchMIqwXCtgVMhTkjisIINrHcf\nFFd+OQpptzcZHWvQExHa9mnUSnREThTGBAKMdVhjicPQUwvaMTE3AXQoNcZQ7jKRLNFojNLa6FCt\nhKz220ghqJdqdLWmYiQmTUlLEtftYE1OliY+YnSW2Do6ypJ0B8hJQW+QUpIZTgja3S4yqGNVyFCs\nqCtLVNBGYRyB7hLkA978lgdYfvEkZWfZHdcYEpKDe3fSWmvTjw2P3nOIxfUB17qb1HKDbg7Is4ws\nuYkojUEiiIMaTdNDIdDSoXNDOhjgnCM1uY8KjUShCAkKesJhRTGSTGypFIK0qNoMpYdf/3cRPp13\nFl+4ppEywJhbDg//r3C6iC3PtAckg94W+IQQBAhyYxAo0jT356MYQP5aX7h1BmM8oKfGYo3FGh/J\n4yDR+fbrtfGOE2NSlFJIB9r1i92ySOEKcVQSqABZLAJCeAFVvqbwiIIuM0Ji3K2KTaWUd5QZv58C\nCnpyO5j2x1DoPhqBEPo1bhlDUgjPr+dh90mNKx4WGQRIKdEm85mtdXQ3Vjh35vv88LlnGNuxA2m7\nzF87xZ59uxmeGicYGyHHsP9dH2Dq0hq94ZTlhSvUd0xx9cQp5nbs54vHXuThB9/D/Nkz3HffHax1\n+uzZt5f5U8e4eu08/c0FjHJE1ZDbDh7ixMmTuN5JUE06V/oc02X+K+kEAAAgAElEQVReePUl9IVV\nFrM13vf4z1MfiXnhG3/J+HhIGFX4n//v/5H7xvZy4plrHD105A3x9KcG5O9/xzRnTi4yN3KVofGQ\n9cUWLpMsX5/nQr1MkncInGV4eo6F+RtcX1yhLie59/DPIMp3sf/OvZw9+wTf/fYNHnnoQTY220yO\nzHDt/HUeesfPYvOUHZMzrIqQPgO6CWijAUVfX0NF01hRIsgcVoRIl5PiqERVQpMhIn9x5tZhJRAU\naZuTSAmZ1igLAs+rS+EjPacH7JsdY0dryFuqtixQzkdrAoFUhV/VFc4GK1BKogxEUQBIwiBG4CP6\nOCxRqZVYvnadIIyJEMRhH6EtFkG1WqHf76OdIRSSOAjRzrKxvk59PEC7DJ2nREIQaYiQaGGRxjI5\nNMqFzSaJyVEyIrEGO+hjcJ63RgABQmiyTBDHgqXlDpYOuqcISlCp1mmuNqlXyxgxzG994td54ofH\nODi3g9NrN1FWEEYxw0MVep0ejdExhmrD22lyqAIwglIY0et2iIMQYXr0Vlepl2tYLBiLiSyV3DI3\nOURcLlEOYzomo4Rhcf4iLu3S7axTqpbROFabS5RliAwsDWEIZ2pMlCb5+veeY8N2eODIYRJtcQZy\nNHElZO+u3bSa64QT4zhjUYEkyTVBFIFUPgrHktgckARSYnSOc4LUpAgnC97YFdSE2Y4At6JkKSXC\nZoWHPfcAtO1AYZsy2Xqt2QZ4ud1DREqJxha2WIOV4LTG2Hy717dAYE1R5YzCWY3OTTHpSG1Tpq8t\nZ9eFj9xfs9a7iHJHIAu3SZFRFD4RMNZrANIhhMJmFGIP226a1/ripfSLt39+y+po+Ym2ttvfiGJh\nsGwV9W2DtdDb29z6rNcWCymEd5k5gcl9NuuMJlCKwFkunX6J85fOotG848EH+Pyf/DGTszvYuN4h\nGarw848+xmx5ik4oWLYvsr56kSAIGa5NsXxtlfZGG43g608+wezMJC8dP8laIklv6zF//Sobq4uU\nS448LTM2W+ell45zz5G3cHPpKtVGmXS1y3s+8CizeY3W/ibf+s6TPP+jF1i6eJ2rqws8+r738Op3\nnmMuCjh54zixrFEZHnlDPP2pAXmnJ8kHZW4sKKZGpljqr1MbS3nsw0epxMME5gZH3/QA69kqa5dS\n9u+5i0YeMTWzl09/7o9Y616hNhwwOz3H+StnUJHl3OXzfOCtH4bEMjq2m4xJeu0VpNSYyKekl5ZP\nsLJxjj37c64v9pmp7SLTswS5JitlxCaiVAoxpokOyhi86q2BTEZkUiGNQUQx4BDOYoVC6AyHJHU5\nWZaCygllgKEAbwToHPBulEAq4iggHbQ9YKgAZx1D1TId650tURiR9/o4naNzw6Fds7T7fcLYD2CV\nhc/WWs1IvcrmkkGqwHP20lMhNktQUlEKJaFV7J8eo7ewQntgsTLBWcfG8hqV6Ql/b3QNw7WAxTxH\nVko4EfhyqSxhqDaESHqMjExSG6nSawm0TsjzjOnROn00QdfS7LcZGapTkTA3OcGi0ZSiiM2NFsIY\n9KALYQOs8yAlBTrTRELQXrqB62QgUpavzOOMpMYoYWbQMmPQ7/PLD76Zb6xcZPnyAs451ttt3vbg\nQzy/8m3GysOMV+EX7n8T5SygHihEq4+tVjG9Dn3tiNI+S+cvc/fQOL0rl8guLVErKfaZnI50jDTK\nLOqU8cYEa+0NxodHWG9uIpRC4tAmRwQRSZrgEkM5jrDFhCqlAozNQPv2uXEck2QpUkUgCmFUO5zy\nfztjNLIQMH2k7cXOMAhwDrJCEPXZmEHrvACtrWZcvvYhz3MCFNrmSCVR8tZUHmszguDW0N4oLtHv\n9zHaFAzzFvI7kB5UfSQPgyTxHLgVhUnS77d0Am0sQgkfxOSGrfF3TlMYuotMlVuA7owuvNsOIez2\nAvcTFZ12y6MOToGwbFNDQRAAjr/do3xrjIe1FqG84In297zFIo3A4TOASxfOsrq2ypkzZ5mcm+SJ\nL34FspTReszp5ZOkvTKXzp+jvLvK977673jmwrPsHBlDiQDrUno2YqQ0St2GdFYukylDr2Pp9lJe\nPfYK3cBy++QcVzcWmRofo9lfY7g2xNGHHuT6zWmGRMDaXY658T08943v8oF/8hh//ddPMH3XAbK1\nNu/9td/kZw69hW/+2bd501t2k7ucj/zTf8Hxv/n/YT9yY1Omdhgq3GSgu9TnBK1eTr97nZpaZ8do\ng06yQhZ2KJUkG2sLiHLAqXM/YnbEMj60l9OXLjFaayKkoh5WUFGLm5sr1CYtm11N6s4SOAGuRmeQ\nkolVLp9+kmGGeGb+CeJRaIi3gojJZIxJBO28RzIIEYH1N6Pz9qQkF2yenScTQziXk1no5hn9LMUa\nTSQkSZaQOMW1xU2SPCTTA6So+otTgDaOipCkzg8paLZ6VAmwVmDRSOGo18q01lokYUBqUqzyjppm\nc5N7du/j3PUlUpcjnMGGlpKLWOu3qI5PeCFMCW+x7CUkSYJeX0c5w9pykzunxim7hAM7Z3nu/ApO\nVilnsLhyg6jdJrKWqys3oL2K7jbRIxPkSntfvBM8cnCOi0s9zq6foR5XkXVFLa+yfPE0Uw/cj7Qx\nN1sLfOVPT3D4/vtxkWZIBZTiEvlGm/vvuZ1ep8mVq4uILMcFEmMc/TyjHAJpm0cevJ+Xf3yC5YuL\nfPixx/nrZ75LxoCGilgbdBFpDiHsGBtm5cYKoSwxUaqzY98Oktv28pY79hKvLHDfoX00VERpzxzv\n//VfI54coxRaaqnh//y93+G5fo/9GwETc1MwOsN60mfEheQnX6TdbJEP1el0mjibsrRyk7IQRNbg\ngoAsMaRuQCZACUsYBSgrGfQyZJDjTM54Y8i7OQQM1essr28ChWtD4G2RBVhasqIJ51Z06dDaFNqJ\nB0gE2w4W/5pbkbnJnee0TV5Eobbwm9+iMnLjnTZSCprNFBC3xEe8CC9wWO2pN631tg3df7bCCW+V\nlFKxNVjRarzFVgmsTX3hjSimKeG8R1xERbuD11TFSnWr1tp5gXfreU/5OIy1uGJgzE/w+q+JvL0L\nyN9f3gwjvMGgEJopHD+Z88JpnhumJ6Y4cyxhdnYP5IbG8Bi9mx2WriwxyAbodsKZF36I0AGyIhC9\nNvO9TcphA1cPmVYVyrJEHDne9IvvZnN9lVdbF5mYrnFo9hCvHn+VqT07md05S6vVZHb/Q6xeX+X5\nl59lc73Pu9/58+xpVDj34kucO3GcM79zhm4voVyu8V/8q3/JyydOcuniBd7+jvfxw1ee5va3HGT+\nyiJvfe8v8Kl/8/uvi6c/NSCfG62zpiQmgOOX58kGMXEiuffILI1anRuXN2gNBK++usxdB/eTJwOc\ndTz9zLcYrQyx1HLMjO3EtFpEwxk313KqJcPNwTzTWtLuL7CWfp4xfReN+hEyWePLX/g8d+2fZnG9\nw+hEiWuLl7l45tN86LE/wOUZRmra1pEpR+QkgTAkBVeXK+fFFZmC0IQuxGiLcl6QcsLx0plT1L71\nFa5evUq0cwqVe/eGtr56VIQKl0qiUCKzAVMjDVZXVkAa3/FQgEGS5BlT9XE24w552qcSxmRhmSAM\nybKMiR17WGulqDwhUY5yqUoQxBghvBMjVFiTIkLF+Ow0ixfmCWuC7sYa4cwoo5ElGaTIcsBqpplw\nZYZnJzm1vMicrTLZGOVyZxOdQCoz+q7KiHBQjhjVOVNxBRUEZO1V5nYOMyQEankTtGB3WGWw/zZm\n5YDWlU2qY6M8/NAdVHOHvXiNRiPm0YOHCHtdPnz/fejMsNnukgnLeD1mJtM8fO89hIduo6fgsQfu\nJWyUmXj/TvL2TV6eGuEuJ1H1MbobV5galqRoSuNV0ulRnm22edvh27h/JqPWSvijM6+yfnGZo4eO\nMDEU011dwfVznhs02X3kzXTnl2kudAjikJJWNFyFvJ+QxLHXEYYj6OUkgcEEoNMUiiIyoRTCWTqt\nFlY4AkJwEu0My2trnjfG88MEctt1YazDKYd0ytMeOi/sgbKoRHRYpz3dVhSKWbyw7V0zDmsyhFA4\nXThnrCPPch8hK1mAmuezdZYXFY+u4OhdUeBkkUJRMDs4J7YF1dcWGjkBVhSVqUWNhRISPwjd/+wP\nIfD3RADG+fYGzhqGK7cK6+CW9dEXA3n6Kc88VZVrjUn1VuHmdjS/1WLDd4wsRF7riujeFxVJ6Stk\ncdaLrtbihNjWPEJraHY2mBoZYff+Q7S7G+RpQn3XTiZHS5w/eYJ4pMLY8Di7ZvbTXbzJRr/PjsYc\n8+1lypN1ur0ms7MzrKzdJIpLXL46jxMZQRSystEk2Jnw4F23cX3pKntnJuj2mxwYvoObF8+iogrl\nmVH27dvJt776Ffa+6Qjv+0ePs3Z+nZMvfI+/ePobvOWDv8g73/Qmzv34BA//7ENc659hrdvlwWqJ\nH1/40Rvi6U8NyM+d22BuehfVRol3PXIn/+4vnuLAZJlqVdA28zT2VUhNlUO7DxOajPWVhMbwNDNj\nKSMzU6weu8TBXcMYo1h3ArGwSXlcsWuizqsv/RHTt8VEYpFuPuDMha+xd+9Rjh6cZv7qBarDHV45\nvsHscI2dhx4mTwQbcYhMFDJUKJMgswwTxBg00oiiwixABJKe1ljrfbs5GpygbCBpd9kRx5zrbHIk\n2MXJch2TGSqlMjgIXIRQnnusVWtsrG8QBhGlKKYiI6RSdDb6VCizurbGsFVkKqK5skYUwqXBdZSN\nWL1xDWNyrA1xgSNvJ3Rdj1qpQRxHRASsrq1zx4HDdLo99u/fi8hz8laTxDh2lEMefds7EWGNejfl\n595yhNGgwiNzE4RIBpsdjs6+ExdVeGB8J2ZinBe+9SQmsRyuxcw88CCnfnwKqxvs/Lk3c+Hl43Q2\nN5h9673k5Yjrf/Myzy9nPP7f/VO+8L/8PrVWxuGP/yKnri/Q/t6Pqe7dydy7H+L5P/wS/cjy0J6D\nRGfWuX1iml4c8cP5ywz1M372Ix/l6c/9BYhJer2U4099hz/6pT/kypNPMrZzJyXlb2ghBFNTY7x6\neZ5fuPdNxCLGdG6Qrma8ZWgScbDBjqiMSg15pUapFHCgP0a2cIXRqRFW1y5ilaSVDnA2IXAZmTE4\n61jf3CSyMdpolA08pZAnGKsRuRfjKPzXSkE+SAgj5bM0VdAfQngLnPNVlCqUGAzGpARKEQUhnU4f\npCKIIwQGRI7WFukkUoXbpeYm36qS9J9rCh87QnixNbe+DqBwQ6migMqL8j7aNsaA9EFGFCk/n9Z4\nv7grhFal1HZb3q0WFc7h6RdtCyEW3FahgnUIS1Eqb30W4SxDw0OMlr11N1CqmOQlwJrtc+MIgRIA\neeYtmbZY1GxR8u+357YdLrKIyp0DZwXIIpMw1i9khQddC0vFKAbCErQ3+c6LT7G61uTwyBylsVHu\nuXs/Y3NTPPX5z1AZnWY8yxFa8b73PcoPn3mGl1+8yKO/+hG+8m//jG57ANpyavESw9EQpfowPZPw\nc+9+lB9//xh76bN2c5HG2BSZUVxdazGzY4aTJ54DkbCwOM87PvA4Os8YrZY5c+UEm70uYtVy5M5d\nRE8NkJ1Vvvjd73Lf4fv4Xz/1r6kMO247cJgvfvUvePMdd74hnqrf/d3f/d3/hHj9uv9+7/d+j7e/\n/XYW5hcp0cf0l5neMUIQhmACnBzixLmrXJtvsrawztRUjW6yAbZELAOaqWUsDJA2ZWhuhE3dohoG\njE3MsdS9RGo7NOKMQbNG212n3WmxdPoKNm/TWttgz94pLl2fp2Qdw0MRg1KdtHeBehThBoYcR6YE\nbe1IjK9sS1JLkmlcz0LSo473QZ89d5L2/DXAkIUB8cgYa90uq6tNxndN00oHHL7vHlY7PWb37aOz\ntIwTgqndu7m+ss7I7BzDO3awuLjEz/3qf8aFS1fASe569yNcOXWO6u5Z9t19mM7NdQ699x2ce/ks\nt+2uMTA51oTYpMPtbz3KiYvn+cUPfYRnT57iLY+8k6bNWG22OXzP3Vydv8T48Dh20ObO8WHGVBm1\nZzf/25f/ihvNDvf/+q/xb3//z2nvnKOzY4a//NKTjLzjKCc76zz5/e/ztvc/ytLzz/PQnjkagUO9\n/a38P5//EmcXbrDv3gd54hvfobXc49TyKp2OZenyZTbSDvccuYvvvfAcrlwiHaTESUJ2cw3rLHPl\nBp3VVZKNTe6c3Emv3eTIyAgNWWZtfZNKNyXODXK9RbkzYFrF7Nm1g3hhkTnrSNfXudhZpREIdtdK\nyLzPXUMTjPb78OoldHMTmQ1g5SZp2sZ2m6y3V0iaTVKTkWY55TggsJq1TptIKFKn6QeSpNGg3xjF\nipDEJKRpTpLkYCzCWqywBIECDGFU8lxyPyNLNdoYdGbAGoJQgRQMsoQ0s6S5pT9IyY0mkAqtEzKT\nM8gdaer79Whj0NYgnMBZiTG+773FW/GstdsPT134SFXnvt2xDCQq8P2ADG7b1kih1dht3tz38jHG\nYp0ljCJynSPw9MWtHjFi2w7omW0FQiEFvmpY+OrkUCkvsjpDKVJIDFEoiSTEke/9Ag6lJLlOUUKg\nM18k5e2WxnPzwiKlb0wXSAiVRAlHKIT/WQhfwCchDCRRIAkCRygFSvkq5EgJAiWIAt9NtIogDiWX\njj3PZ7/4J3zwwx8i6jn2v/dt3Da7l3JqePqZZ5i7514+9KFfoi4qnDp5nMudDe568Ci7xncyO7WT\ntRurrHe6lMslqvUKzc4mqVLMjB4isCHXr53EIVluJew6cBcrSxus37xKT+f0cs3effsxqWZxuc3U\n6AQq6DNZKfPqSy/y7AtPE0nF6ee/T7e7zle/8zUiY4nH6nz/m08TWYtu9zl9cYHXg+yfGpA/+u73\ncfc9b+b46eeZ2jtMuTJE7MYJSnVOz1+luT5gfKRBOQ6ZHC/jlKDTGjBUG2F5cYM0bzO8r8xCe4X+\nUsLYyCgzU/sR5T6bqwPk+jTXW5dpDRRnjvU5vHucwSDh4tkVJienWWt3GbIhc/tm+NbT3yZKN5go\nDzFVG8cNLEYISBNkrhHWEuSayDhCYwlUjhAarTXPn3iZ3tVrBFLgZMjCyk2Gh8aYv3SB3toa7VaL\ndJCyurxCr9OjJoS3ginF4upNuoOU1bU1hnJBGkl6K6uYNMcag0g1nY0m5UQzOTbO5UuXURqGqob+\nQKAHGmUzTFxibX0Dk2kWlpfIO32u3bhBt9PGaMPNpVUmKnWCQY+7x4cYl7Ax1mC+2SWWknvmdrLS\nXGO0nzFkLKOViOncMa4du8catC5dI7+5xJG5WYbjkIX5JQ4PjXF0xyzy5iJ3To5w795x7ilF7M36\nHN4xwaHRIfqnTnLbaI2DQ2Vm+h2iQZ9dQ1Um8wyztgqdDWpBhO10EabD3aM1uuvrZPmAUizpLS1S\nLwW4dhORZzhtGLeafphQMpabq22iUoXZ8VFWV1ZJM8uICkmEIS9LbJZisgFWQKwCZG5RKiSIY0IH\nqU4ojQ2TqBAnyzSmJ1lobjB952EGOITWyG6PIC+hZYjVGSpwBYgLur0BWaYZDBJfbyNDrFEegC3k\nmaXXz8hyX5iSGs86O2NxOsW5gDwPSbMcFUviki8cytIcJUKcEIUYLDFabzs+tjzm1m0NrZC3IuZC\ndN0q5Mkz7SkO4wq/eQGYKiDLNc7aInq3RYsHsT3owld6+l4vwm0V+2gPmtIRSEcl8uaAKA6oVitU\nq1UqpYBKuUS1FBGHvvpXSkkQKPSWeOt8ryKt9bY3SiARTnmFE4nvSOSrrIX4yalfwoEz3hrrlU3/\nXukkOFAorLFo54XZNMu5fuECHdPj/NlznL5ykqldB9g5s4NLx15mYtcMWeBY2Vzlrv13cOLV8/zG\n//Tfs3N6ByeefJahw3t59AMfYJoyr5w/iyqFtJsbWKu5sXiFnbMTrDcTSpVhri5cZnK0gdlsURuq\n0e4M6KcZ1ik6m1323LaPV4/9mFZ3mbyf8fyL50msZHNzg0G3z3qry94772WsPMLxF45x24GDSBOT\nRTHzl6+/LpD/1KiVvoKLS2uMzU2w2Vols6tsrjoGfUutNoEN+lRVTBvN2pqBUgntAnJnmRyZYN/U\n7VRmqvQXTnHgQJ3lGz2ePv4DKpMVRodrTM6VWFjKkb1hGlHKiStrZJ0BBw/tpRSvc8fcPmZqZS6e\nvcbb7j/KWHmCXMLm2hI7hmdJhYFamdX1JkEYMt6oEErf1CrXjm4/QyOJMouyEFqHNprR8TInfvA9\nfvWXf5mvffHL1Cwkg0WGrUV1uxApAgGbN5eZrNY8t5lrSk6w/OppYiDLNKtnLpHphFCGLF68wkK1\n5O1jWco1VSfrJAyJCB0ELJ05z3gcc/PMOXYHMeHGOnNIgqiKvXGTHYHCrt6kJB21oRFSl9I5foKH\na1X2jIxw6rN/xu7hOvV2i2TlBrtH6mRXL1DSJSYDzSsLq5QqEZnLqIQNLp54lWqtxmraI6g2cP2M\nvBzTHnSJ4hJZq0dMhDIWUVNkWcKwVcSVMu1uBxkENNsDTB5SHS7hugN6woKBUr1MtJ7QyzSjYYWb\ngzaNSkAcl2lvdgkmGj6abpR9mwIgH6TE1Zg0VAzSnOXOJqVSzGQrR+3agXLgQoVJEnpIOlFIJh3V\n4SrB5CQjUzOMzs1SHatyV0Ug+gk6L9F3BivqfPPpM5iwToAhyTJUlmMJyHOFUApjHThRUCGOIPTe\namcFuQ1wIkRoU5TgWyqlEhONKr1+QlsbpAiwuSa3higQxHFIbh3CCu81FxJBSK4NQiiyPMMGArZ7\nihvf9A2BzjMi/0HY3HPZzniR0xpfrh6E/hru9VKCUJCkCZVyGawlKpUBR5blxHGM0ZoojqnVykgV\nFJy5JAgBpwlQmDwnd76QJ5BgbEalXCqId98S2FlH7orOjYUQGkYR2phtbnvLZElBo2wtVAiLs0WT\nLSTO4o/9NQuOKIRNg/eza6u9ziokFoGKIsZnp5henCQMJU99+wusLFzmYmapz05w4ZUb5LpNuHcn\nY2NDTOyZo7vZYenEWR54z8P81Wc/i33HUVbX1zl48A5am0s06mM4o4lVn/OXf8Do9O10bjbZNT3C\npXMvEuoStVKVciiYGp9htbnGcifh8pXTzA3NoUZS0u4GB2/bxd49h/jSl76AiQUH9+/hXT/zds58\n72VmxsZgvMTEyG7KsgQ8+7p4+lMDcl3ZwcbaCjfnm7zr7Yf4wfNXOXdpnl0zs9xcvMT+2WGq5WHm\nb6xQrc/wyo/mKYclLrS7fOwfvwu3skyjAzvHRzADSXky5/COn2eoPMS3v/sjzl0+y9BwjcO7dlKd\nCfn6MxeJ+wGT0RpmeIz9U4rl5Q3uPbyXhaun6Y83uHo5ZdBUvP89v0KWBUgVMzJVJkJQHS4RyhzZ\nz2m3E1QQsbLZpNnpkjhvwxpIzUd+8QMs/vEf84V//1fUyiUym/uJOyYnlIpqwU8qaX1/DCcJlKCL\npiQjmmmCCGNMnqKkHzEXxCEmSzFoGoFkbWPAaCmAbPD/MfdmMZZl2Xnet4cz3jFuzBEZOVVmZVVl\nZQ2d1VM1u5vNoZszKc62RNGGbNB6ECnqwYAhwH4waVAwRAqSZcu2TJE2yR4kwiTYJMWpm91d1V1T\n1lxZmVk5R8Y83encM+69/XBuZjUN8sGAgeZ9CkQGTtw8iLvO2mv9//dThSG5FhS2wilDYCvyQGMs\nVKLESVhbPUZ/e5s29Xy2DCWd+UV29vbZLA9prq0wzMZsNR3njj3MzZ0tVpeWuL3Th6OMshPTGRWE\npsQVKd5Ml/7uhKWZHvuDMXG7wbhICISioyM26eN5FVbWYwKrJWXlMKR4EkZVig0N3cBHt7psHiRE\nxhI4SWILhICG18BZaHZ7hNZQ6oDYeeSez0I4R+JXyJZHaQp02CRcmse4inxScNTy8RsxohvjHjvO\n3MoK8ydW6Ha7SD/GOqjShGRzE1OmpNmI0cYVhusV48M9xpMDpKv3I4kNcb0n0EEL6Ty01LVW3ID2\nJfm04/UDXfsL8gKDIY6CeomXVVMZXl3wnXXkecnW9gGNSNNpxewdDQl1gAMqVyKkwZQ1wE3pmj+T\nZwWB36jHDFrgeR55lSNlrS0Pgoh0nNAIwgfKGGsNuNopirP4vk8QhpRlxTjpI7WYPoQsvh8wHA6J\nWx0G/SOSJMH3A7IsJwg07WaDJE3wvIDJJENKx0JvFltYDvsD7NTo1IgjJtmEi089gVQVSgpGo4Qw\nCqeWe1WPZKQmyXMsDk09O7empo5K7uvD7xt8aljd+6tYsHpqIJo25GaKCBBKYo1FSY2tHHJ6ejLW\n0u3OcOfGDe5ef4eHnjzHzUuvMfvxFsW9Ee12l6AKefHSm4QHEzpzM0yuXOaFr3+ZcKHHQwuLfPF3\nvsDpJx7h2ldepbPcxZY1E+nUyjK7W9dYv/MmGze2OH1qmcceP8fb76yz1I7pNuolbpkmtGcbdNUC\ng60DenM+zpYszip27rxHMp4wv9blcPseX/q9z/P4w08wf3KO9tosn/nBH6Z1J+Gz/+43/tp6+i0r\n5K3OKkFTEzQf5dLlG/iqTbfT5e7ugG4YcWMzYXbmiKOjlIVj8PCpMwyONvjok9/J9SvvsrDQQOcF\n3bUZnv/TSzx27iwjNrn+9ltofUjQ6BJFe7x99TnOn/kQ7aZAxI7MBGTK48/fvsTHz32Ml762y+z5\nc3zp+tt4hyN+9OPfT0v7VNInS0eExkeiuHJ5g/lOj0fOPcz/9pefQx5VHBYZ/SQBqXHC4lWOf/Nr\n/5LIC2jrkMkkwwhL6SxKKGzlqFQtlcoqQ24dVgs851DKI6tqG46pTL3UMWCkQ5iiZmNbzYGAyFVU\nhSZTPn7hwEgq4Wr2hZK1nFFIlJSkVcZRMamPsEGTvXFBSxSM5tvoLQ/t+9zu7zLTEXS04Nbem5w4\nd5r1y1vYo5xGcw67vc5EKaT2GQaCrgY1FxO3IhYbHs1Gl2mSn5AAACAASURBVHKcIGVF2PAIogDV\n7NUa/rhDUlZgKjJlyRuObDxh5fgCi/OLeFKzIwybO9s8d7RPd6nH8NgCBxX4KmBmeQ7XbbIyu0Sq\nfHJjudeMeOzYST5djGhEgvnOLK2FBfxuiJk4LkYezhW4MqcaDCmLlNHePS6/8jyjgxEeAuFKhGfQ\nvQa5mzAajHE0aKmYhhUMBTSUZlIWJIWlcAKjHMoZPFGhZS0HlHqKNa4yrDN4KiDPK0ossR8glaIo\nLUbUZhQnHFlWK4rKUU6YgS8leZnhlCKUjqWZLpMsp7S1G9MamGm1kKqe0QunMFVBrzeLMRVFUeAp\ngWxEREFtKDO4accq8XSNmXVItnf2iBtdkkmG52ukVDgr2N7ZBwHF9i5+oPHDgDwrQfjMzc5h0xEz\nQYwnJY2GoATK0nJ0OCKzEjyPyNekpaWyHpfeuEyr4RN4AmsFQRTSPzpicX6BUCuuXH0PL4rRQUBZ\nFSwszNPtdgi0X3fnxjyAg4FDT+f1fJOEcSrwmdJHa7dokkxoxQ2McVNJZ00HxVPMrZ7me7/7B/mt\nzXV+9O//PL/6K/8TTxYVTzzxOP/ht34HFWt0ss1rL71La/UMOzfv4pTgoTOP8t5zL/FTP/df8uf/\n7rPMLS9xa/0m3W4LIsUbr71J5Ht05le44w15+uLjXLlzBecMd24dsDTT487+NmlqUGXKqBzzyLk1\nsqyPp2KuvLVOaqDV6TLaKwnmNO1Omy995av84i/+Aq+8+nVe/b9/j6/9yX/8G+vpt6yQB6ZBllk2\nbhaYSuCZIbsHh8zPKp76wBr7ec5wt+KJC49QFRU3b11nbbnFC29+g48+usSp1fM8//ZfMHztGsur\nq2xfvsfCyVUWZjw6J84x1znBcy99jXMnz3P17oCVY+cJ50OSwS2u373D6rmPUfgXePzJnGI5Iti6\nw/mLz9I9+TRVcxHtg5gEzC0t8ca9u2wOM1zDsqY1NvDRkabVbbC2tsbuJKW/tUmuHFXkkZQVojD1\nnFvUNuG8SAlQpM7Umlqh643/pELGMUU13eqjp1KqmlkhrcVYXf9Rhz7CGPLAkpuKQuq6+/CDmmE+\ndQWaskCqmrfiI5hvttkaDDhx4REu37tLvACtEyXtsx5vvnKPmbhBvBSQ5Rk3NsdUyYjXcghbbSbl\nkKrrsWUVbydjnuie4E7k2Ix9Fk6doLfcw+u26XRmCCPFcjNEtbtIJZmbmaHTnMMqTVMBzRinmlMy\n9whDRYnPT6IYrN9FD/YxSpFlE7LRiEmSMxrucbi/xe7ubbaGY6Kmx8H+AVfKnLlGgCsyDJp8kmDL\njPbsHI8+9gjWJSivplZqFTApxhQuI/cVrdYMmXNkE0u7iCDJscOKME7I5YhMx5gwol8kjJUmso7I\nC1GmIJeSdiusJYDOIAT4Xs0f8b1aXZKlOc0ooBEFKKWR0q/RCnv7KM/HOUFRlcx3WrW6JQzZOdin\nrAx5UXJ3b4/aODYtxJ7HKBljq4JmIyabJMRRQH+wjdaaqqrwfZ+iKKhcvbsJ4wg7JTRqJQijiKws\nOTiasDfIyY3CFNSmHCEQor7OfZCXRKJUgCjBTHJCFdbjd+eoigqUYjSc0A5aTMZDrKzICqiEQVqB\nsYK8nxP4mspk6PGEMAi4dW8TTzpas/PkaYoCVBBzdDBg72Cfh06fIvYCpBIoVXfkRVlHK0JtMDKV\nwbj7y9ha1lgzyDVBGDDOJmhdB35QKhqNEIGhLAwfuPAUbz3xBFfWN/inP/+P+Nobz7N+EFFkFcak\nVFnK7uYm20djlH+XpheTa8d3fvJjXHrrTawWyJk2T8xf5N03X+fcww9RdDps7Wyxd+0uNi/wtKPb\niejGI3qzD3PlnctkqlYFkRmCZkBS5oyTijKW+C2PpH9Es1VQhJLOfJvtrR2W5pZ46Wtf5csvPM/i\n/AKt3hzcHvy19fRbVshVNWL/4Bt4rUPm/Xl2997m/FOnOTmXsbbUJr2xy53+OrMrJ3BHEX/vx3+a\n9za+wfkLPv1RyB++8BxH/YLFmYsYsUs03ySMJcdOLfLVt27z5T/4Cv/gF/4xG2/d46ELz3By5TSX\nD97i9usZ815BI2gSzli8THNz3OQTz3wbo7HhT1/+Cy488SxN2WJrOGZYOa5t79GcmWV/nPD1l17k\ncG8L/yBBxwGPLvZ4YvVZVOQThkHdOSiNFwaUZUW726bZbFIZQ7vRRLuKJMmohCDwQrKywBpDoxFh\n8pwwCMjyHC8KkFpRFCUSRZEVaAmjZABCIaxFStCexjM1JmB2drZOUTEWf5oy35rtgHXosqQ33yUQ\nCicqUrlOU/fAP470DpCVg8xR9HMs0McicejScJhP2L1+jyOzTyg1H3aOqgQ3GCFdRnqwzsG7V2gF\nAUf9Pk4GHOztU6RH+O0O24f7iHRAw41ptGc42jqkrDSBduynloa0tBaWKQLD4TBD6wgjHCLUtKOQ\nuVaLMgiofBinOekkITIVB7tH6Nkl9tKUNorR0R5JM2auKJnvzFJWYwrrEKYiKi1+YYiMpGE0XuHR\nURUdfcQegtIPGGtNLnw8IRG5o5E3iIhpNWbYqxIyrz4x9ZPkPj4HrTU2vR9gYBFopPCZJAlRECAE\nZGWBqKccWCewUpBnJePhAImltAbP92vttNAI7SGFxpQVSiukdMzOdUiGIxBw+sxpNjc2Of3wCe7c\nucvZsw9x9+5dVpaWGPRHBGGTJBnRbrfY2d2l226zubEPSlEaKI3AOoWHQgpdc2AAKQMqU0BWS2sD\nLyIrDTvDMVZ62FKghEVhECark7cCh/QMpSgQTuOUpMgNSvlIqZiUBt+LMM6RpBVShWQmJ8tT6jTA\nCmsNnvZpxBFKCkxZoLWehnDUBVtIh6kMSmuC0KvZM6beEWRFjtQapSVlBb7vTws5gODgYI92u4kw\n0Iwb2Lxk69oV8sPXuDlZ56HTKywfm+fm/h7t1izyWMXbt2+zcmaVW2/cYOHRs/wfn/u3dMOAo3wT\nOTfDp779u2n7gjDweeXaNUpp0YHkmfOPcvPqBqWnmWuvkZYZ2g9pIHnkiUfZuXGDk4+c5CuvvMDC\n/Ao37+7z1GMfoH80xhqNH3oMx30W53tErmR4dI9mU5EkB2jzN8dHCPf/NQDw/4eXEIIf+5GPs3DG\nY2juMdm0PPbQEjfXb9AQcP6hcxwOK4aqYHh4l+OdJzgYpiyfMui+4a2dIbt7FWdPfIj5hQXUzA73\nNi8xqywnTh7n8t0dHtKrvPreNnF0ErqrtJtdAn3EZOc9Th8T3NzKyXYdn/zu7+G2XeVLv/9rzDcF\ncxE8+/3/GcOjBSppOTJjgsIxKUo8U3LyxAq//42/5JXf/SJOG2IUpqowzhFrD+0plJQURUGapugg\nnEKKpswNU9bzMmogXCtu4vsetqoQpnpgIDFCUrq6yyur2nziMGgtKScZAkcj8AnDEOuBrUwtX7MG\ndIDE0W62mRRjvEAQOcfHP/gByv19KltRaIPbHHFUCjIjaXoCrzhkrlOzYdpNn2I0IgpCXCmg7ZNn\nKctRk50sJfCb6CohU5r9TNNutDDkFM6QKEXDDxllCdYP8RB42ZDCRZjIwyZj2tKnbATsDxNmTJ/S\neOjeMsOtbRbCmIEB2wiIbUllHbrZIRSGbLRH0GiAs7R9yWic0mz1SAd9imzE/PISF575IJWt0EoS\nRg0qYynJ8EKPyUQS6g7Kl+SkeFGHbOQIpGGwt8fhVsLW8JATH/0o4dJprBeRTixBEOK0ItI+Qku0\n1rU70dQ87lo+N3VcGoEpK4IgwOHIqwJbONS0ODln0J5H6Hs4B56nGY1TPM9DK4EnNWEYUlYlZVHi\neYo0TTFTt6V8YCwqKMsCOU0aqiqDlD5pmuF59d9UbZARVJVDBiHGCQ4H47o4uhKt9IOlopIKTyl8\nT1GWJUJq8qJisdtkMh4jfUno++STIVEUU1YW39cMywIrNVhHbgqUkzXfXAhMVSOCbVkiRI2SlRKM\nBE9aNAYnHHGjxcnja8RKIVx9rx7YWJ2kqnKiMMKUFWYKo7NTbbwTkOc5QggCHd63NE0ftjXzRkqB\n5xQ7Ny7z67/+a1z4zCd58uSjvPP6aySHh7zy+hUufPwT/NG//yylG5FiKQpBZDUHWcL84gwf/egH\nONy8S6BDmvEM6/du0eu2eevqTc48dp7x4IDx0SbHlpbYHKTYw5JwaY5//HM/z//+r/5nNgbbzMQx\nh6M90AGF1Zx76GGKJGFpdp53rr7H7tE+jTY8eX6N2ajHX/7Hr+H1OoSRgDTluZf3+OtK9rdOtTLs\nc/70f8pL1/+Mo/3bXOtf5mPfeYZ33t7h7uEtvKZk/c6A40tL+J0+t+9eZyY/hexXnDgT8sSJD7Ge\nVpjiMm9fTzBbIXFL88q9XbLYI9ve4JFHH6VotPCDNq/fvMyF1pCFtZhX713l+lsZ/+Qn/j5DbqP3\nhly8MM9g6KMaMcnE0AxyhnnApMp5PJwnfnSZrY3bDLOMImqQOhCmosJQdy8epa+prMXZCgJNUkm0\nBukpfOUzHI3xncF4UGmNQzDSDmszpKR2fFJDiCyCyoB1JXiOipqhkZkCF4IyoL363yc55JOUmrUs\nkIFAYpkc7SNNTlHlRNJj+2ifmbjASItNFUWY0Vk2LAwEXq+BK5voWDIyBYcuJnWWXhxTKckgc6Qt\nn6Mkxc52SA9GNEOJ5wmyKied5GhZ1YIDFSBMhZ9WHB4kdIMYXzoMCfsHfY7P9VBmRFk4GkNH22lo\naq7eusNKr4ebdlrCVmgksRexn1SErQZBvEhSlRTKcZhnWBkySaGIWvQp8W3MAEVa5bTCHokVCOWQ\nzuCh6XVm2N8boSYl+8MDto/WKW2AHztUq8M7I4mrMmR/wjOPniUZTojaFiUMmYMAgXQhgQwYJ328\nQNckTGtr0Kyt0NIShRqtHF4YkmQOF0iEM2jpoYWHNRVFMSZuNKmqgvlOQFkZxsmYqNMhSwf4S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OePjsGm54wERWjCf7nD92joPR4d9YT79lhfy9a+s04pDhwLHx3iYLXVg5ytnwFV5Q8OwTnyQP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Znl82d56823mJudpbu/TSCC43osHFvANfvIgobq2xD2SSEjeTZSDEE44HGg+jg/bs5hkC6N\nI49TWgKVCMN0iVWRdCpLZAjkQ41USieXzpAwDMI4YmFYJ6EmkDWNtC+RzWcQbZ+6F3Jna432nVvY\nKgS9DnNnT/Hv/o+v4ckB/9Xv/A5f/7OvEVTq9LMGH//Up3jT6SOnkhQbFgf9gGMrp1FFAX/3Hr/5\nyY8guS7q22/wi0MJ+o+ep9Xqc/uwjpsVSGcNtHINMfJxYpHDWpXJ4VH6sUu51cUPwPNN1swNpHSC\nf/Qv/0v6VpWR42O0N26xv7FGoCj4qkAzNFHGSrR0EYY1Tp17lMmxE7i2hRA28U2fjZf+FLe2jSul\ncHwbEim6kkSaCnVxlrV2GkeTOPbIOeYTMk7DYnz2IruNG3zlC3/E8uxxWp0OnXab/+W//2/Z3dpk\ndLhIFEPfshgfHyEMXGyng6KmEaQEoaAgCQKS7FHeO2CkIDM9neW9az9gYqyA77ns7b9JPpOncnAH\n29xGYI9eJ+Td/XVSxjyi0iYzLNKsb5EkiaK66GoWK+6zsb3BqVOLWGaHe6u3SKcTSHGeQIhwfYcg\nCikWR+h1bG7cvk2z1+PUmTMsnFzkD//wjzizOEsymeTs+TPISpKN9X3u9deZHC8i6BLDRZ2DqoUn\nSPT7Hj946Q2mZmcJQg8toxETc+HsEklV5gd//pck8gXefe01Thw7xujUCAfbG0SWR6tawUipHLY7\nbO5sU989hEDizt09ElmR0PPY3Tyi2ehj9j0kCbygjOPGvPrKKyxNFzm7OMpzzz2P48Y0W31Onimh\nqfDf/atfYvXGVcxA4vGPPE23fMDkeJ7ji4vsVw/x+i6lmUXu3Vqn3Ktx8vgCshLwlS/9CSunl9nY\n22D/oEIUCsT3Q+KRGCOKMYqiEAQegng/AR1FCFFIPpei3/cglvA9F9sxkQQD2wdN09BUkYmJLJ1e\nm2TSQFVjHAe6HQ/DMFB1hVgwcCUHQ1X4/8CRI8T/qWLn/7dHEAQ++9ujjGWGuXVjG1nSGMsOYUc2\n4ycyOPUq42NjWDUXJ2Oh6QW21po8cH6eermH3w1YOLvIO3e2sXppuq2B1BAQ0G4EuK5ELmMjaxKC\noiKiklBCjFSMpiZwLJ39nUOKKQPb61J3QnKFMbbu7bJ0+jidboPd3V3CEDzLQolFHMdFUZIEjj9A\neioSoqQQ+AGh72NoCoos0nMdxCAiiUoY+VhegKolBoCjwEaJVVwxRkzoiLFEoMjIUoCuqngxhD2R\nwugQ1VYLSYjJqjKi26Nh+oyeWWL/sMri4kluvP0an/qZj/Kt7zzPhx7/EBurd9H1BLEs4jkeqqbS\nbzZR+ybDccDPLR1nsjjCYcpAk7PYRgpJE/EbNXxJID9W5K3vfJ+5uVn0i8f5yv/+RR75hU8yMj3F\nF//d/8Vv/+v/kS9942tU1o/45KVLtH/wIp+7fI5IFlk/f44Xvvsm2YxCsZDHbLiURg3Cvsdsfgwz\ntNHCELtRRfB9AttECSMCSaDRbNOPZYxskjASiGOZluvQtSweLuo8WByirWVInJgkPTuFKMkYsc6d\nm7dZPHGCXuQgppPQa2N1LaZGc3R7be7s3yPUVeKayHMvv8sjMyWOnRph+pEnqEUOYirm0QefRBYV\nkHw2nn+OvburaGkf3/aI4x5duYCipZFCg3u2REXIM31yhtTpeWQ7RPUiNioNNAxmO1d45+01Nvoi\nfcenND9DDMwvzNM9bJEtFZElCbdvY/YauG4HQnjwqQ/TNwU0VSDya5R31kkbSf7y61/mY586hSIp\nbG1sIakJRguTuP0W41MjlPcaJAoSekpj+26POPTo93qcPHEW0+7Rc2y2d6ssLT2AqqT47vPfgVBA\nFnXW724hywoLS6e4t3qH0mSJvtVjfmaau/fWmZubZWd7i2Ozs2ztHfDZX/gwmxv7vHtjlaWTi2QS\nfYppg6yqs7+/QdW32ayb4Gs89aGP8KWv/SWzswtEUszxhUXavR6XL63g9Hr0rD6rq/fhc7kUasLA\niwKW509x4+3rSJkEdw63Scsq+1u7LJ45y727a7iYTI1O0Oz1WLm0gHvoc1Q5IkCBOKA0WaJUSNOs\nb3PuoSfpVPfp1LawBRVJCEmkdHb3GpycXubmvW2effqj/PFXvkpxOMXCdInD3SMOK20uPXOB0HUJ\nTZdKv8lEfoK/feFlPFmk1zYxbZcwiJFlAUGICeIATdVwbY84iEkmFdIZnTj2UWSJvu0jCxncvkmE\nh+1JBHGAbkjkUxmG82kcxyORMqi3GlimBYKC3XeYmC7SC1t4jsDsTAY94/L6t7v8XSP7pyatLJwV\nEDwPOZRIysMc1kMyBQ03apMdyiGpLiMjGWrNHrKQQtN8Avq0ek3mF07Sbh+xe2hxcCiRNyTGSzOs\nbZmogUSxKHB+Mc3jFxZJZmXq/TIzQwVkQaHd9jislHn6ow9xVLd55eWbSEqG3c0KM6UZIi+m7wTE\nqoEcBsiygqRpxJKCHUeIijToGVQgkAJCIcKNAkQVYgUQwfdtiB0EISCMVERFR5JEEimdSAxxVJmE\nH+CpMsemU5w+doy1jTWUSGIok6BhVRkr6nzm1y4wNZlgZv4YB1uHEEn4Zp/Y82lXqyQUjcZRnVSm\nyH6lhpHJ3GduwOLiKSpWl1RKIzJN5lMJcqqKHYXsThT499/8Fp/7p7/F737xP7JfrrDy2FP89VtX\neG11nbnZZd4/OqJvBRSyo2iyQXzYYlSXOT0xhry/h9tusTRcIC3FlDc2WZBlxE4Vrd0m7rRwTBPr\naAd6Ju5RhbjbQVREVDXESogE2QxT+WH8MKQwXkTAIZ9LkZZFhoaH6LgOE/kM+SEDJ5ukkVapb1ZY\nv7nK7voW3VqdzuYOjTubVA/XOSpv8O7qHV66XWbN6jJ0QidIi6ROnOdDv/BpFp66ROH8Cvm5E5xa\nvshYZpx0IkX1zj1uf/kPaVHHFRTUuE9PVgjCHClSeOIIb5gJGrkSpx5/gmI+gd7pIfoqG90uBd1h\nYuc6I50+Y2KPM6dHeH91nyEiGlFIvdnG7weUKxX2ajuErTZmPyRE4ZVX3+TkuXkSukhCNAj8FvXW\nNUTZRlZT7B+0MSOT/doexewMcqyR1DMcHB4hawaNygHddovhoRyZoWEqRz0OymXqjV1GxgoYssFo\nfpyjgyrXrt1ClAYtTk8+8SRd0+b2nbvIooYoqUiShKqKhKLIUa1GJCiYfZfJyUk67S7fef4HnL90\nFsu1MG2X1fVtYn0INZtid7dKMjXG1RtbjBVGuXv7LiNjJWrVCt1ej5XHLzGcyOL2HGotC6vWYqd8\nSHYoQ6tWQ1EE3r1+kx++8S7VZounn3yayHZIpAz2qkc8+9GPcPu9mwS+y/joKBeXlokMmfPLx7Gi\nPg+duYSiKTSOmqQLKfSUwd8890MKmTRXb+5ROn4C2ZfR7Ig3Vzd49HOfxjsoc/bCEt1uH0FM4IYi\nTmiSTuSw7Ih6s8H01Ax/+dffYuHUCpEIjmnh+D5xHGJoA+eKJMiEwcClJUkCyAK6MVhk65qG7+n4\nvkcioeD6PmEUoagKmqrR65lYpk2r2SMUQsy+CSg4HmhqikRSJSRg7ngOs2uRyqrs3LH/Tmnlp3Yi\n/+f/agHzyEEVMhjBEBs7+5x9dg63ecDWYZ9jCYHpM+NsrG9y8uRpbt2+h6hG6EmNblvhmcceZ7dz\nxHs39zk+nCTO6rz4oyZCSyVpiEyNSaiCCLkitZbDe9+7yuXHn+DVH73JieMlmu4RO3s9bEfH0EMM\nJD506QHmp48hKCJO6GNGHl3TJJsbJhYkOp0OtXaDna1tRNvFareIkUglNELfxI99okAicAQ0ImIv\nQFR9RieKqIqOZYZ0Duo4vklGSvFbv/rzfHf1WxRmMiwuzqH3NbqHFkqUwnOb3Ovtk/YNtvY6mHs2\nvqigKDqOYw26HBEwVJ1YThBrIpEQkjJ0uv0eE2PH2K7tMJ/PEGzs8JnTxzmezVLND/HtjT1sX+JT\nH36C9bt3QQx5aPo4VdEjaPXomz0SsU2/2sTtdGg4XYbCGN/xWQ8FLF9AEX1+8/QyaUXhuu/Sj0Xk\nZJJmp8bx0hS725tokoiWTGB5FmraQDBDRD9AmEiTmczS32shxSqe7zA+UsS3bYRYoK54NDWXYLPC\nheESlmnTG8qzu3tAvjRBbnICY3SY8bkphiZKWEGP8aEs8+kigiRjqinsyjpGUiabnCDq9vHMNpEb\nYpl96t0WnW6NuLKGF5mYvkDOsokyIpaoogU6npJi082wJUjML85QKIwj53JYXsD29i6yKDJmdzhm\nHeIc3sP2XPTMMGlXoOO3SIcSxunz/JuvfxNdNigHIb4xhGBkcCMRNYpIxQYPnNRZmUiytbuGn3Do\neS2iQCGdnuD9qx9w4vQSSUOld2hi2wqH5U2WT89g9i2SIxPs7+whxxGibNCzLDTFY266yFB+hFrF\n4ta9Ne7erVIYmafaahE5HnMnjvHmlXdJyArLp1e4fesWpfER4niQ3M2kh1AUnb5lc3ftHieXJjk8\nqPLAxbMcNapMjQ8zNT7F62+/QTahEQUq1z+4RWl2msZBg0ge9LOOTQ6TyqT49NMfpbK9Tyg6rB3c\n4531LRZyU6SSKURZZnF+gu29Q4aGSnzhC/8RI6lxdnkJy+5gpNNIgshYfoR+YGM5Ntv3NnjymceZ\nf+AYd3/4DhUzJOiYyPkCO+t3WT49wvHxWY4ag5tPo+pRNVuce+hBJvPDrL78QwJNoycInDx3ga2N\nTY7PzfL9H/6AyZE5CmMj3L5zjd3NXQRZ45mnnkGWRXRF50tf/XMShorjWLj+gLlvqAl83x1U5GkS\nuiGQy6SIA9CVPEFgQuTSt32avT66nkBVdDrtNmEAqibjxyHJjMJwPo3rxRzu1VEUiTMPTaKqbeym\nQttsce+693eeyH9qg/zTn00TWyoaQ2y8tcuDHztNM7zL4twE7767xfmlUzjuoBjV9i18R8SzOzxw\n8WEssUNopgikmIO9GvMTp/jBtWuUqzFqlKJQyPDoQ2N0DxpYksCtjRqZxCgHh1Wuf7BGHEt4PYti\nZpgEIUk1wux5SJJCq1EnnUmTyebIpTPMLy6SSmdIJdIIooqeTuKJMZGmEKngyxKrq+9TO9hGVRLg\ni+yXD7BtC7cd8Ku/8hTXrr6AltBpdmQavRC/XsHuqzw1meOzn/8ocgb+/DsvMbdY4ivfvc2FM+MY\nOsyfOs7ffv06jcMqqpHDcm1UP0JLpRAjAcvskk4lif3B/9QPAoIgIJEwsJ2YREbB63UYjiR+6cQ8\nxw2Zw16P65UuCU9jI9nCVZO0nJiHC9PseA2mlBRpXcPRQOxZjCXSbNktFnLTVM09+ppOq9WnUt7m\nt86cppBO8FqriSBrdCQH2Rfodzz0KY3xkRKddpOhQo7hwjCdSo87a3vYiTqzi2N0KwLr67ssXj5J\npd8n1DTyE5MUjTRWr0kqXeTUiSUyaQMjn2NqvEhKzxLb7sD2ZfaJFAMcE8fsogsxHauF1WjSPXC4\neXOVtfIa3cqgAT1CYa/nkUymubw8xsVzedxehxgRR5NJyUMEUZaePsH7VRdlQuDnPr2EdeDTF4ZB\nCHjjTpn5qVn0Gy+xrFWhY+LrGkpqjH4AdvuAfrWMnCqRz6Z4dbPMQyuXeOeF7/HQz/wi/9vVO3h7\nu5x/apnvv/w2X/yNX0U0b9APA46aOmu76ywullD1Arf3WmQKKSIvokefF1+9TjKbRZNs0gmRcidk\nYiLP2HAKxx7sC+IQ2vUOw7kEmeEs1+6W6XUl2k2b1bvbPPHQJTr9HvuNHm67Q6tjkkkkaDRqDBfy\n+K5LHMHExBReEFCp1zl58hhLJ6b49ne+RRCn+dmfeYK3rrzGxUcf5ZtffwFF1xibKPLQpQf44z/+\nSz7/m7/A8899n5OnFpgolbB8hwCY0wUemx6hE+tcWV+ja1q8+fZVJo/PMDYyxRuvXuWw3mTlgTMc\nbK0ThPCpT3+G9Vu32d7d4MTJE3SsLvPzJ4iCAKtT5/zlFc4vn+c/fOGPKIzP86uf/Xm+/Edf4Y03\n3+G3/+tf52R+jL2jXd5afZfF4gR/9fUXOf/0J9lordG8s0NxcpTT51ao9fps334TXR2l0mgyUSpg\nWR43766iChITk3P0Wh2Oag1EKUaIIxwnQlVVTiwscvODD0ilBkUXk9PDRKGHbTkk9RSGoWB1uoiy\njKKn2d0+YHJyDNs2aTYcpman8aU+rmvh9SKWlma5+v5tJFlh+lSWY1MG2zcqCOII1z7Y/Yc1yD//\n27OMp8bY22hwaniWv7j2Fo+cHceOPM4sLHF9fZd+9QgxDjCyNo3DBJfOz2CkFdq+Sb8Fw4USsubg\n+S7p8RL4Y3ztr37AwtQE587LbN50GMqPcNjpEAkKkZBib+uI2nYH0+mTwCOpeMRETC0scXdji3L9\nCE2SkUIR1RfuN5LHOLY/+BthQFozmB4bJZ0aIj86CmkBSRXIZ4dRtSSJpEx+zODQbiHFBzhmHTe0\niWWBVsNHNIvU/HWmc9N87+tX+PTHS4QJCT09yn61zNRogYQGRqywvdMlYQxhxHkeOv0w//x/+tdI\nagpFlHAsE12XiXQVghCRAQZXUhWIBOQoIA4dspLCLx87xjFDYS+O2Atk4r5LYTxH//AIeXmO/HqV\nnhLhCj7JQo56uU3GMIgim64cEQUCya6EOJllbXeX4pDBRUUhP6RxMxkSqDKinGB7vcHW2hFPf/I0\nq2v3OHZqkZbj4MYBtYaLH6ksnxplajzDM8/+EpVqj/xICl1OUizNIigSA+pKiL27g2C5+KGFfVil\n2+jSbnU4OqzgdSx2Vq9Rb9sgdgmcAC82EHUJKRmRkIdwBBVLtXEFFa/vIqY0XDvA7fV45vQM5yaT\nNJwErUySlOqhyUOs10epxBZnz60wMqvRCTr0mikOJQ2ZJIWjNSabbzOmqpiOT1KGQFawmx6RlkRN\na1T7JiN2OHBy1E3GJmf59s3bzD74YX73q9/mM595lvmxIV59/nWeePwCyZ0tbNFiOOejmAbVUGGn\nUeXarTLTC0NEcXHZRiQAACAASURBVEhxdJbrt++xW93hYx99hmtX3mNqbJZup8lQOsfuwToPfegS\nBwc7jI0cI2vIrG+tMz5zmp3NKmEQcXJpmVIhzRf/5GvsNQ94/MlP8d6777G9v8X4WImHHnyArc01\n6vU6iydO8drrbzE5NY7v+/z6536Or/zpV3ny4w+zfn2b4eI4zX6X0vAMG9sHdHo97ty6RkJUOHbi\nGL/xW5/l+W99k6XFOVy9gDaURO+bzOYMtg4PEKQcb731Mg8/8TTPfe9FrI5Nq+XQNm1SKYM4DIni\niHRKp1OrU5ya4tjMBJ1ai5HZOaxOj075HsNTJbp7NZ792We5d+OIKzu3WJqY49yZE7x4+11EM0BQ\nISXnaDQPKI4vIOBy4XiJm1v7jJbGadSPOFaYYXw6zQ9/+B43V+8OgnmixGH1kEQiSb/nkUimEDWB\nKAzoNTqEkYCq6oRhSDKdotPrMZRNEPguiiHhOB5CIBCGPkPZLM1GG1nRcPo+iZSM1XWR5QSLp4/T\n6FYhcjh9ap5O2yKKJN64co8zlwpk5JAz83O88MI9NvZa/7AG+T/7reOUMpPc/mCV4Wya1GQC3+9z\nojRPx65x77COosqUD20uPJTnb7+xzYWzSRaml1BSBtdu3KG6L7N4cpxUMabRrlDQdYR8nsN7HUZK\nCreu9sjmxulZIVfvbpKSC7RNFz+OyQgOqmsj45NQkkShhKdE7FWOEGMJMY7wYh9Z0QdamCgTBwJI\nA0qiKshokoYkQ7PXR5UMdGmAsl1aGSM77OOIIpEYYjk2c3NZckkRxxI57EYYaGQKKTp9B2yPMDbJ\n5wSG8+Os790lNTLC9hsdJrIZhoUQfWocx53h//zjb5DN6NiOC1GEJIYgaciSCkGAKEAqqeGEAXok\n4kcuYRzyX1xcZtbpU7MdymFELMjkFiaobR1iPLGAf2OXQnoEV5RIuALOkIDjtkinJNqBh9aPeflK\nmVhxWF6eZ71W5wm5QHFmjPflJsWhFKPzk0TpLFljAtI2p6bmEKyQ4aECipFGFSVCd0BzjNoeQWjj\n7XdpNKqs37xOt+vR7PWpHx3RdTs4pk0ghoSmQyqRpW8EqNk0jV6LidwIXtAdWO0SCn27ReSJiIkc\n5VqVnCoTOSGSMkQiDvGlEENWUcQIy3YplQrMn5zBliSmjSRHdpp7gY5UFLiwfAotdnDkPLY6yptv\n3ubExXmEl77LQ+MCfbsLngaY5EcKmI02ouAjOAGRMUR2eIhyZRPV8jg0BdLJAlstiQ9K07z75lt8\n6PFH+euvfYXPfOITNDbu8I8emEfqNbF6Ac2eS8NtUw9iZk4us723het1WV3dYvn0KZaX57i7scHd\nrSar63s8+fiTHO3tMFwYoly7x8LxGTotD0WF0liWO7fW2T/y6dkiiydm2b57wIc/8iB//e1XsLyQ\nBy6fZX9/F0nRWN/a4D97dIWbG2skh5LMji3w4cuP8T//wb9Hk2WSaZfHnv4ovdoRzXaLG3fucvL4\nSTLpLIEV8f71O0Rigqc//ji1xjpG7HNueQ49O4US6bz+1tukJ1L0ay0MZYitrV0iMSTUJNZv76BJ\nBt2+SbfXI5/PIoQQhH2mSyPsH9WZnZhAQSbWY/b3mzxw/jhTo5O88vrrPLByiUrPxLP6/Oi9N3n6\n8bOkxUE12uhQmr7gMzk6yZ996ev8zCceZrIww3blAFkR6bpJsiMFjtbXufLOKm3LIpICdEXD9l18\nL8Dr+4gCDI/nsW0LMVIGdWySgOuZhPebnDRdGTRsqQNmThyDGMrMTBVYu7tPjEwyqeE5Lh/72Ee5\n8vZbpNIJfu3zn+Nvn38eVRboWTUOe1VKpRLz41OUa6vUjrpMTBzjub+59Q9rkP/K50s8cuIiR+Um\nCUNmo/4BrV6atOdg+xYnTizRDfqYVptzy+Ns7NQp5BP0GxFSvoUgFgk7wxgJm4PGAb4UUUjPsLZW\nZmpsnGxBp9MSaBzVibQh7uxU2TvsEvoyoaBSUiHj9hgaziBZEe3QRUho3NveH8SkpQglMgixCQMV\nSR4kHyVJoN/3ySSTuJHH408/xtXr7+NaPrETIsouTz51kb7TYW/3kGPz01h9m8IojI0n6TVtup5O\nebXG+GQO1xDBdRBdh9KxEnFko4shDbtNMVWCIKTtWCgBLKYXuNV0uLtbpyvr7O1ViFs+juCjxDKa\nICAEHoaoE8kxmBZz89OY1iGfu3iKOVNi86jBXkoENSROJdjdrDN7cZycI9K0I1xFIm0kGV3IQSzi\nxC6zUyUUI8XM7MPkEiqCkSKVGkKVRRAVAquH4LZR3A6BZaH6Cr1uA9Pu0GhZtBp1Dvcb9KsmplWn\nddCiZfXJpSzaZh9TMzAyMlYoUhBUIlGnIohkRQU58ugrMlHDYiarUmlXCZIZDL9PpKVwXZ9MMiCt\nKQSBRq0VY0cimmoQhH3EjErbdklpGXJJnVatQjsMuHjxNJOGwejUcQ58lffKB1x+bIXpXApJHqbq\nhFTNCF2RkftN5jZfIp3I47ab92vGfErZArtRB11IUkimELwOcd/mIAiYHJnFb+7iqgrr6gRfv7VP\ncXwaz7PJ5XSa9UPOnr5M3Owi6iHt1TXOzA9T9/Zxux759Bjv31slEBWOdttYgUnKiFhaPkEYZChX\n6sSihZZKc/uDO1w8v4KeSPHqD17F0Edx4xaf+cyT3Hprjf2KTdf1KWXy6ImA7796DSOdxVAMZEMk\nUkJmpqbxnT4ZMeLe/g5jpTF+5tFn+Q9f+DOyo0mGCuNMjBWZnM3+P8zd169lWWLf9+/O++yTc7j5\n3qpb6Vbq6urq3DPTkziJI0qgREGQIb/4wTQNQg82IAKWAQumDAF+MCBbIExDJGWSpkgOBxxO5Mw0\nZzqH6gq3ws3x3JPDPufsHPxQfPS7+5/4Ya2F9ft9aJ0cs73VJJUpMer36A5n5HNJpqbF8Vmff/wb\nv04UzihlFR4/usv6lQ0Kiorl2lTn51FVmd5wyh/955+QzySp6iV2D/aYBCGCKvLP/smv8jff+Wtc\nN8IOPCbTIflihVqhimWOieWAdLLIZGYyHA3p9CeU8zXSlSKvXF8mXdY43nlM5Dqo+RSTgcPicg2z\nOyCQBKaRT50ST4+bLFyqceXK81yYW+YHP/hrQpJ853s/ZuLMKOQLTF0Hc2iSkHUKhTQJQ8V1Xcaj\nGeVinW63xfxCjZ3dPaJQIqHGZDIGo5mDIIt4foCIzPJqhaOjDtOJgyqqiIKPoihEnkK2kCMSQoLA\ng9hFk7OYdodi3cCfRVy8Uqbd7OFFAY8+tj5bQf7b//ISRcOgZ/v0T4dYWsD9j00k0eWFlRqCGzFW\nY0pZjZVqkuPxCaKYZH35Aj96911evvMcveaMYlFAMzKM7JDJtEDkJ+i0TlhdNDg4mBAJERNrTLpU\n4u62Se9kgi0JFHWFDSSQA5xIIAx8QlHjuNPC8SxiYhZW6ly6vvyMs2q5fPjOA1aWcrzy8jVOTk9o\nVDNYlsXO/oxHD3sIkUS9niEWp6yslfn03S1effMS6XSAF4R0Rx6VjM5gJnDwZEi2oDDzAyRB4/b5\nAg+envH6m2uEsoWDhtSPkeOIkR6hHk44N7dAW5uSTZWJ5BSCkiMMC0xHPihJTHfMcDrAtGO6Z2d4\ntocQzVitGFydy1GOZZKJFF6tjGhElEpl8qkq1ayEqmXQ9BRyOoEQP1vvw5FwrQnMhjieSK40hzM1\n8T0fsT2m1TqjMxzTd2fc//BtpNDFcyKCyCJwZ8QkCMMkEg6anuQ4ntBYKBEIIaovMIkspoctCnqG\nWNIYuQ4qCpIsMsAhI+oQhYwUH91xSRsGST3B7tSnFodYooochmQbGSw3wHdiBE2kfXJGNpnE8UI0\nOUUkSIiigqyHOP6Y2Ne4evkVlm/e5PH+NsZcgevXVvFtm0BRCJU8h4ddsvkyyvEjFsMdFpMyvutg\nWTOCUEcixnJDqoqBk1LxrSmNlIZtjggFlUnkowUaTzMlPqVAJGRxzQ4n3TPy+Ty5wZCZ7ZLOGJSK\nZRwzQlVD3KjH5qOnZHSFB7snqLrOjQu3MN1jWq1Tsvkqmw+OuHT+HClDQs8XaLc7aJKI5znMN+rs\nH/Rp9065dm2JYWuM5YjPGiOuTb/jEmoiairD5r0H5AoF1lbmMWQdXRQ4HnQp5/Mc7BwzvzTH8eCU\nX//WN/nL7/yQk5Mzfus3/0ui2KVQavB7//73eO3ll/jxz3/Oynwdwyiy02lz6eo65+fqdDon5BfK\ntI8HlHIJ1CigkChy2t5l7uIyN869wL/+n/5XdoZtarUK4SxmodqgVkqyu73HgydbvPTaa9y9+wmq\nKtOozzMeTSjmUzRPz1B0nflGle54xDe/+QUiKeT9n35CfzDmpRcuo6V9bl29zDu/vIeCRraUo9tt\nYs0c/u6DJl/56gbT8ZTNB2d848tvMBxt4sU6/VHMj/72bRqNMt3JlMD3kRC5cGGN6dCk0xliOQ4S\nz1qdS8sL7O4cgCCQ0CChy/RHNoIk4HsRqZSBH7l4ofAMffdjNA0kScW2Y5LZJBNrgiIJqKpItVDl\nuRu3OG4/YWt7m69/9QU+eW8LK7J5+mDy2Qry3/rXBoa/gOxncKcDOrbF48dTVutZzmWLZHIG+9aE\nXq/Hc5dqiGk4G5yQ1PK89fYJF9ZKyGRYXZ5nOLJIp2E0S3E68IiCMdbkFEM7R0bPkS6AmLBpjyW+\n+1ePiIwCjYRP3bEIlYCcmGcwmRIiImoioRDw8qu3sO1HiGrM7q7JxvUNjk+PaNQ8BElkYe0Cp2dH\nSLGFHST54N0udt/i9p06xYaMLYQoYYnpsA+ECJKC5/mYkymjSYQ9NgjDAZEooaWqCOYJsa+Rzbrc\nfvEcrYlNAOi+SCIhM/A86mMFqeEjCGmmkc+063G+sEY+sYCq51hcqlKrV8lm86RSCqImYkUezf0d\nyvVllCDGiyycmUPVSIAAlhMym1hMmk1Mx2U06jIdjul3x4xNE0KH2XSEJukwtPDFiCPLA13DCkco\nkkAtaaCpEpIEk4lLspjE9sZ4coFWxyVvQGh76LJBJi8R+hMUNcfx3gmNWgbB9Wg5DrYqIesJokAm\n8ECRZRR0gshCLsTEowBFsBgqSTKugiqLuFKGouxSFEb4rsAoLmGZM/TYZiLINIcxCXHCwvU1ojBE\nEXzUSxto1Q26TZNXXrpOTh4hZ3UCN8uhGTPDJaH4VLY/Za55TKRFBCnIRCIpSaBnuSQVg0jg2exx\nIFGayzKKQ7JjF98fI2c07tPgfnIVc2Qh+y5KJkKLRFrvbLL1yQdcuLTOaXuPbL5CJPlYvsN8LUO6\nWGDz6Rb11TmGnSlO22bxfIZ7n5yCpGA5NsVcncvryzzYeUwYxly7eJG/+9nbFCs6leoKW08OKORV\nzq2doz+cYvsxB4cnVKp5fuVLb/KTv32Pr/+Dr7P98CFHe4cMxxOyuSytyYDI9Oi2u6TnU9y5fh41\n0pCNKn/4n/6Ea1fXuXXjPEfHRzTmlhm22ywsrZBIKmiSTqKYIV9M88m775JMVXn7w49JygLLK1Wy\n6Rwf3XvCjUtrOGaP2uoab338kEsbF8jECayuzZP9A+493eTa1WvsHR4wmY4p5goU8gm0VJJPP3lC\nOZchjAWCMCBtaHz1K69SKKX56fd/wSyQ2XzwkG9880s0t/aYDCcImkStXsMKLGw/JqFrnLu4xJMH\nD1hZWuPR0z0mjs3aXIJsvsru/oD9kyYzc0JAjOtH1Cp5Rv0xxCJBEON7AVeuXOCsdUoYhKSSSbL5\nJJ1Wh0wmwWA0Q5BEovDZIJ5tuXjeM8UsmZJo1KscHLSIkNEMCUWVqJSLLNQrbD7c4sqVNR4++pRa\nZQ4hdrBskyjS2Ho6/mwF+f/2u3cY+D4SY1LdDGFP4IPtPkoB0gkDO4TYcJhOBjx//TzZokrP7nBw\n2qY+v0pn2ySRlhClMsPuiFopSWlpETPwaHZOGXZ8rI7MC1c3iCKPp7uPuXxnjvZY4e27J4hjKJou\nkeYgeQGRmEQQQyQ1RtZFyo0s5TmFaj1BrqTTPBtgOg6CYyPGGqOpTSwCvk2lViCMRczOhDDwaCxU\n8LWQk6MmumQ8AxR0hTiWqeUqPNw7I/Zh2A7J5JIcnrVg5nP1pQv4gzG35tZoWlv0DVA8gWpO4sS0\nSNky9dVFlGlEt9dCzZfZ6wx58umAcByRRSMhu6RUnVSxTCWbJ59N89Uv3SIMZUadNsPJAHsU0tnf\n5swcIvoxfd/D80IkISKTT+COTTK6jhMFjF0PEZFCWmImSURJHXc4IysbuJ6Jrook0yKxJCGKIn3L\nppDOo08ndFyYBFl07Rm/Znoeq8sFPH+KGCUwzSmWqjIZ+6QkDZI6URTjei4KkFQ1Qi8EGeLApqIk\nUR0TU9OJQgXd7WNKPjPRYBp4RFKKsaLTk+osWEPGIRz0xtSFCd/8+ouYlo0nymRSDarXLjG/UkaP\nVNQowo4ybI6n6AmR/KBDufkhdd9BCDVakyGGoeFpKoobUEgZjJ0ZDhJJKSap6ozigLSQQcImiHyO\n88t8FCQQpQQzZ4JqaFj9Du7hiIO7WxwdbzN/OUckxJxbXUMENh88QJdlao06R+0WV66cI/QFDraP\nmE6mWDMdxQjQdZ1x3yKhJlGyKlEMs8GIQr5AJAbs7ByyUFskn05jOzNiSaJnTjCnE9bPL3N2dMI/\n/LVvM7Vt9jYf0+tP2D45JJUtc+HyOrvbOwgJhXIxzTeff45f/vLnNJYvcXfniGIlw/lGgXImhaJq\nDHt9uqaF7Xqc7XeYeS4vv36JxblF3vr5pwgoqFrA8vkVnuzsE4UCr331JU6O90gnkmzMrdLbbvJv\nfu+PqCxXyelF7j1+QD5dQBEjMnmJc1fXWFtd5Ox0TPtoQqvXpbGiklSqZA2V44ND4lBk5fxF7m9u\nEhCgihpqKOJENr2BxXwhy9b2Hpn5KlI6Ipp6JCSV5eU5tvf2ufPyS7z9i3dw7JDF1Qa/eOcTZE16\nZuMG8N/+N7/Ff/yPf0i32yWKYlRVQSDG8zyy2QTXrl7icP8JtUqJZrNPvljgtNnD9QPCMCaOJYLg\nmY1QqWaxbQvT9AjDGNmQSGXSuDOL5fk6h4dn1KsVRpM2jcYS3U6TQlFi42qNP/mj7c9WIShTGXJw\n0iVt6phnFndqGq4UUVsqIIky486EtbUqcQjVXIbY9ylVa0xch0FnzGKmhpoIMcqLyKKNEMcc7O+R\nMWSmUwcvSjB1JrTbHYRYJELAsm3SyZA7r9xg7+kBmhURIRIqOr49wsioXL66xtqFBWx3QkJI4k8C\nBkcOoqsihy62FyCrWY6OzijkCuSKGWaTIUKkEgoJWgMby/XoHplMbZH6fJZ0RsEPnlXoQ6eLL8Vs\n7XZQdZHZtEcqU0AMEkRqyGQIvdMexlIKRfTIZdL0PY/LlRUcA0aTM3rdPrYSISZUNCnBw0/PCL0A\nHxj7IW3HotO12BwMeLT3BPt4i+2PfsL9nYfsng3ZPNzGFgMkySZOqIy0iELeQE2LiCkVJwpQxZCJ\nMyRKpIkjEUMRsVzo9cYktSyB4yJIBrY3o1xO/70lqjIczpD1FF5SAkVn6ivMcJlFBmIxiShHoKh4\nYURzaFFVFFKRh46AZVrkoojYdXF0nc5ph2wiYKvZJZ1YpplKEzgex2ic1NaZpTW8chYhWydXm0Mu\nZEmlFkikG5T9DGNBxEglMEOYGBkELUu7M+HaF15jNh2wYmSwogjkBPf2jlmsGiT33mOh/ZDM0CZU\nZQbRjGTkoAo6eUMmmrnMTAvP9lisVwgjD3M8JB+ECEmNTn/Mo+Q8H4V5PEkmG9l4QURGBHu/w3e/\n8330XJJUPkmuFtJYnOPg4ISpM2M2gfEQ9g57qIkc84Uyf/OXbzOyBWQUjEwCy7KJAx1JEJg5ASfd\nFjPH5MUXX2bz8RMsW0RPGFy5sE673eO01WQwmlJvVFhZKeDYEZYd4Dkh3/+bn3JweMy16xe4ev05\n9o+PaZ+csnHjImsrDdKSwFu/eI+NGze4t/WEdCrDS7ducnp8zPbBAbEookkiRiqNi8I7796jVEyB\natDabyKIEiRE/FhmMu2R0nOMRgMwZ6QUg4wk8/6H7yA1clxa2+DR/U0a5yo8f+Mm7U6H0WTCQr1G\nv9dnaro4I5dERuDi+RLTic18rY4/sXEC2D1pU5lLcHrSYjKMKBaKHHVP+MKbL3OwdcgkCNANg298\n84vEvkXkJ1hemueoeUwQhghEuH7Mq6/e4unTLer1GsPBiNCNuXPrRX704x8zmU6QZRnDSBDFEYIQ\nk04Z+IFD6D+byRiOZsRotDsD/Ch8dmsLngVvGD4zEFRVQpJkfC8gmUjjBh5e5EMs4Ls2URwwm83I\nZLP0RmPMscvGxiV2tw7pdLz/z0LQ/29B/o9+7Tq9yQDbTqA7Ltmswv4YSmuLPPzgiBevXMUOxkw8\ni4yqoooSfhwzsj0EM4Xiu5QqS4SiyObjT4mlMXPFLPV6nVAUmI4sVs4VyOUKJFMap91dyqUL7D2a\nsvO4xZdeXaNUj3m6u4shF1m9Oc/EGpApJPFiE0mPGbhDxlOTIHbQ0iLpTIZxaLO7s89KfZFkUiOR\nlLECC0VLMZ75jGyTvZ0x3/iV2zzaPqHXMknpOcyJRTqjkTBk1HSS6nyF1umIamGeAJ2zoxNqlQph\nZDLFZOKbyGoaJJnQdXj33QNu3LyEJ3osVteYHXaJPZWxrXD+4nl2to9R8PAFB0GIEA2JMPBAENEz\nBslUBlGXQZUwHRdVkpnNLBQxxI8i8opAmpBB3ySjyhiKBskUnh8TBRFBFICaIIxATarYoc9YjEjN\n51BEAUmOsQUFxw/ISAl8X8SxXCJXQvFlcmGWUhgT2BKT0yHBwCGXyWONZkRpnVMpRTclYBkQqmkm\nqQUebfW5cGOVR2OXbO0F1OoispTHEbOo+fPk1SyRX8Z05mmOUwwnMgNTQhBtzNAlUAMyvsfE8/GN\nPLqu8/wbz5FuVIhtgd/5nf+F/+Jb/4Szs1Pm0jrxOz/nkj9i5ngkpRDP8tBlHduy0QtZEoaIazuQ\nUpDyWRw3RE8YqGnwYp32NKK5sM47Uw9RlFBCj0CVKYoKvSf3yUlpmuMJ1ZUcYXBGLTXHzv0+g1GP\nwaDL8sp5YkEinctw2jzDcyxUXaNcW+Lg6ICZ9ayu3e9biLLE0DTJF1IsLy8ShhHjyQgviEgmDDzL\nRpAkQlFkfmGRQa+PLEqUKwl8P+LR40NWLqzx+psv8/TpNmkjQRKRSjWPORqRjmImgxEDIaBRX2Tz\ng/tsXLzE//VHf87tW89xfeMypUyCQa+FHUTo6TKpcpqNW9d59HiHTx8+xvQs5lcWMZtTWt0R9zaf\n0B/bZKslwsjB02MWVlY5fLTF7n4Hl4hee8zjzfvEkYSiptCNLIe7LcxRwHHnjNdubiDrHu2jAVEg\ns717wNXrc4iaTOQmOD444uWXrtLrt/BCkUohR+g7+AScnQ3A9dhYXWbz8QGWE9LrjdETKXqdHvW5\nNDubJ+iawpNHe+iyhiTKHB4ekEwnsG0LVVEJAx9FltF0Dc9zyKTznJ0NEGWRie0z83wCIUJWJGIp\nfmYHRBAEIYqmgPCs3WnNPDzXR5IEZEUGEaI4JEKASGI8nFFrFDCHNoeHba7fWmbnae+zFeQz1aRU\nSdA+mtCcetwbuDgSHJyN6Y2mZOdSSFkPWQ3Q5DT5dJadw6e0BhOwfTI5nd7Q5Kx5RiqVJQgi5nJ5\nbAma4z56ZHD13CKyM2UyHrG8cJnj/Sesns+TyUsMT/voksj6xRXK5wrkChqSKqAbItX5LKYzZOdk\ngDUDx1YolFNkamUe7z6kls0RRAJJPcmwM6RcX+bBgz1ap13y2QWGnT5x0CNfyTA/lyMKZlQqBUJP\nIptJ4DgerhOwMl/HPbPQsiGm5XLcPOPS5Qr1tSopRWdv64yEHDGcgetqrFRyTIYWRkpl64MuFzZe\nZr+9z/f+/GNUQ0H0IzxZQQoEsnqaCAFZiKnpIsWsRIKYRCzjuS5yMo+qS4yDMUGsMUYljEHMFlCy\nOiN/xlAUkUWdjJYlSuYwfYHBYMxioYo/syjKMlVBoGRLlD0HBIkAn8gKiZGRmHEUCHipPKE9YihG\nnCgpEoUKUqbKuHgeT8sTLMtEiasUsikMScJyQ4TGAmcjm5XVEuHUw5XT4IwYTjymgYgQzBhPPLqe\nxczvIeuzZ+BzKs2JeYZuZPAFjZGQxo49Gos1cvkCR8eHiMOA2tIyf/dXf0Ukq+TdDquzR+StU0bj\nAMNIIekKQinNOA5YLlbw8Oh126iyjqymUQWFWatDLOjoZ0PE+QY/dJd5HFnMpyvEcYyRkJDMIYeP\nd/lPf/B9Prr7Id3TM46PBhRz67RbfaZBh2p9iX5vQq83JY5jauUCi4sNmu0B3c6E527d4rh5jCYb\nuE6IpAqIqkQhlUdXBLxZgKYmaHZPn3GAgkJCU5/tjofQHw6xXZ/22ZjmfhdVFPjSF7/C+x98hOj3\nuL7xAocn+4xnDo35LLJiEEgaewdn5FNpIKBxboHayirj8Qw/CPjgg/fwvADb9pCQWKznsEcWb//4\nx3zjm18g8mJUPUMxX0auSSQ1jX/w9a+SSab4yd+9xdf+0RcZnZ5QjFKU8nnK50q8cGeDN164w2lr\nyNbOMU7kUl+fRyukSAgiiWqas+Mht9efp2dO+e4P3uO1L7xOEAyp5etk0ylE2UeWJURR5fGjLc56\nJpOpzde+/BIr8w3ev/sAOwYBh5Nmh3Qmg2FoFEtJsvkct57f4Ec/+gVuJOAFDgE+iDGqqGDZNpIo\nEgQB+XyeWq1Ot9vDHM/Q9RRu/GyqNwwDiAREQSJj6MRBTBCExDyjHPWkShzGROEzdVdPPFPHPT9E\nUMALQ2I/QhbB0FK4ro2mS6SSZU6OOp+tIH/pjsqFxdfY3tzm1tU7BEzpdmEyCrhyvUE+m+fs7IxC\nqYCmJxlPONvRugAAIABJREFUxxSLRWRFY3F5GdXIczKwUNIymmrRqFYwRzMaczUkRaKSLfDw4SGt\nkyETW2Bzd4f6Qo1MRkcMYjQ1QX84wEgZKIqEPR5x4fwFwihgZLooWp5slCSlypRKOu2TNllPZPni\nEse9Hik1SxyJNPsjfBdaZ2dcXJtncb5KoPQx9DRHW8ckdIj8DIm0yll7SOAoCKKEZghsPdklmSzw\nYPOEueVF6vUcCT3BuDejeWrjTGQ2Ll1i2B/RH9rs7j+mVKjQOhpx1o356c8+4uiwS0IKkQSQJZUY\ngVAMkTUJMxRwwoDSQhUvnNGdmliagVpbZWT2cQIPWc0RuiqqoqLLDrKlYg996oJG3rfIGzqCEJG3\nO+T8HlpSQZmIjCURazQiKlb43z/uYK9cpR07WIkiR0oSofocamaKmVghzm+QSMroc+eJ9DKZuQXM\nbI6pnmU8HRF4Y5yhTH/iMpkqOBQY98eImsrhwETOzrE1s2lNTGw9QU+LGSZELCXC1WJIa4iqhljN\nY6Y0GospGqUFFi4VefnmVc6vrfPRp5+ilJL0dnY5PTrhr//0TyllDPYfPuH1N99kpZDCMzvIGYNk\nKUGrbeGZI87XDULRoWcpYFnghgiWhCraZAwJzxfYW73EH530qMxXSKtFEFz0yMM+PqNz2OOv/uzP\nuX3nEsWcgZ5MM5oOcfwZyaTJ4kKdw4MuFy5eYdzvEfsh48mUhw8fkUjorCzVefrkI0YDD1WWCUMf\nXdMJAp9bz9+geXyCrmgcHnWYTmeUi3P4voeuyczNz9HutMkWCswsi5k55Rvf+CKb9zbZ3z0kk0wj\nCCJn7Q75fA5BFSmki7z/3ieMzRnlcoO5RpVipUowmzLr9Omf9ej3xuQKBVQtQ3845IVbL/IX3/sZ\nnz7c4l/883/BoDNm5eI87/78A6q1iKwo8/YvPuT5Ozf52c9+Sb89YtWoM+2ZdGdjtLSCJkb0O21y\neY3j/V1+93/+VxSqKYqSzK+/+jy33nyNv/jD7xILsGt16DWPuH77eVRFYK5S4ejwiD/+sx+Qyeeo\n12v8/K0PKFVLLC3McWV9nadPdvj+939Jo1Tnw7sPyOXT7OyccPHyFbZ3tqnX6nTaTWLPZjwaE4Yh\nrhU9oxeBmeWgqhqu40EcEwQBxDAajlhaajAajaiWc1iWhRf4z8BtRSaKInw/QJSekX6CFBP5MZqS\nJAw9VFVCVBQ8LyTwQuI4RlUUCGMcO8bzbWT1GSbVbHbxveizFeTnlzPsbx+Sy0GurPLR+2fkSzqV\nhkRKz9EZnDDfKDMaThg6LsdHp/juM+x4ODyjXruMkawgChIXl9fo9k0atTWODk6RJZ2Dg1MWFhtc\nvnweRZdoDYY4lkvOKFGrLZHP58mXKvT7Ex7cbdLrTHF8C8f1KKRL2AObCJf6ag0xozGeWgxnMyol\nlXtPtlAjmWqjjisGNE+aFCoS5bSBbQds77fZ27N46cUak5nOwByzvddl+/iMyEohijZGUiaRTpCt\nrNDpzei2R3j+hMODJv2ux2zqUigaaIbPO588IZfNcfXaMrEUYwgRJg7hwKFmZBBEEV2QMQyNYGYh\nyAaxa+OHIUIcIbgO9UQSxQcQyJfm6D/eZp0Euh/Sn00Zj21OLYuW7+KGXbYYMJQinsZJOvoVRtMq\ndm4Zc+l5+m4GM5PHFMbMrTTYPw64+cILKMEUy5TJri6i5Bdw3DHBWMGZxhw7E7q9Hu5oRmc85Njs\n0+ocE5JiMPMY+j5j22EgSxzFOqYboJULDOyQpGbg50OMaoN0UWbj4jyNksorN9d54eYGX3n9ZTbW\nV8gHIro1YDQa8uBnmzzZeczOfh8xJVBYW4TWgO39Q063T0jqafRQRFQV3vreD3j99dvYgx6qqmGo\nGTSxhYqAnKpjPWqTqgjMej7L6w0m0Yzudovi/Dwfa1V+QhqpB+lSAadzRrle4fTT96iqEh+88wHf\n/tVvMByMCDyT67fzPP/KKtbEIakKDPozEkaBJ4+2EMQAy7bRtCSqLjLojshnCpyejKnUSnT7fdKZ\nNKomIMYKvX6Hz3/uJbrtLidHp7z+2mvYts+jzaekMxpvfOEN0ukcu7v7iILAyuIc1tjGjyIajUUU\nLaLT63J62mE4dtjZPaTV7SEqMoIk8HRni939EyqlCpmSxs3nL4Mo0LM9mtMh3W6LhWqNX7zzIW9+\n7U2u37zA//3//BntzoDv/eVPKTSyvHrncxRKKVzT4tx8jcO9Pl/51hcho7N/2uPe3W2W5uY4t9Kg\nPR6wubnHxvJN/rv/8XfJZyp8/69/yDu7bTbvbvIPv/01ElpMQhGoVavEkcjBzh7j3oAnTw75lW9+\ni3Itw/3797l8aYMgirBsh+29YzrdEdLf73znCjnG4wlG0qDT7bJ+bp2nT55y+fIVhoNT5upFvEBE\nknSmMwtREP4ePhYQhWcubxQ9oyYDz+PcuSUcy0eSIsJIJAwhFiJUVcH3QvzAR9c0FuZqKIqAY8Wk\n0ykibFIpA3M2w/djZFn9e2Bdxfc8ZEVCUGQUA6IIfEckDMLPVpBryRytpokgCejFMnbf5Mufu4M5\naSOEEc9fu4Qk2FTqi/T7PnP1OZJZnaPWMYIkYI8j4jik1x6QEAtMPY/3399ksbHKeDQjkUihKAl8\n10VCoFJLs1gvoWoWki7xJ3/yUyIkjPSUr3/tZd559xFu6NPv9+h3hhTSOSxzyHg0ZnfrCNuc8cU3\nb7Hz+JTXXnuRSnmBnb090mmFAIGp6WBZE047U1xHwhBz7Ox1COMEM9tjb3/KK6+/xE//9j5GSqPR\nSBLGGdw4ycPNFn5oYhhpAlcjDFXWLy5jO0PWr1Wpr8ncXr/DtH+IaMgMezaKoVCvzJPVcrzx9Q1k\nIebGK7foHB0TxibLhSS+H5FMpsgBgmsx7o0IbQcrsDGzJTp6kjgR8cRLk7xymUrBYTEjMEjnaBTW\nqGaXyVZXkfJVmtaUYlpDVhS8wIVUTBg7NBpzuFGe41GP6UxhIMnsN5uYfY9tc8rWcEBvNsYKQMyU\nsIWYvhcgJjPM/IjQkIn0FOmyTqQmKFUNlhdKrF9ZYmkhz+ee3+CN25e5kctS9ULyE4/QnPDJJ0/Y\neXTA1sOnNIcjWsMRUUImX65zcWWBS8+/yXxZoqEo2KfHHP/iLZyzU0bNNq4UkQ4khlpILoB/8z/8\nNvHRJpo/YmSHpC2Pfv+YTCKNmigxS0vs7rZZunEez48YmjZ+usCTZI1D6Yjx2RmXLr+I4/TIrpzn\n0Y+/y9KcRaezTxwk+el7D1iaz7NxpcGH729jz5KsrswhyjCxLUamyZUr19ATCQQJSpU8lu2iqRrf\n/NaXOTnd4/BgRCaXolKrIClQq+UZDEwWFnOMRxNSqQyT6ZSD4z3SmSSiJLO9vcP+/iHFUglJiplO\nJuweHNHtm2TKOuuXL6BrKkdHp0ynPkHoI2gq5mzCqy+9TDWXZbFk8N7Hn3L1/CI//eGPabW6DPoW\nr9y+STGXZjSdsba+RqWcoX3W5PbtF8lmQn7zv/5NPvp4i7/56VuIgcZg6rF2bYnFtSWOmns8uf8Y\nOQGxGlFvNDg43GJ4NuLXvvktxrM+o+EZiiaTK5Qp1jPcvLDGg719NF/CjTWqmQZPt3Y42D/BtmO8\nOMFo3OPpk7sU83Xu3n1IGMBoOkZJKWxcvczUGuGJIZErMDDHVOoNwgiGoxGO7TCczRBFj+XVGg8e\nHTI2Z0jyM2zDd33CMCIKQwzDQFUlgiBA1xVeefk2H3/4gFiMsCwHRZMQJRHH85BikYSuMJt4iGKI\nOXIQRQFzYuJ7AX4QgigTIxAFAXP1GuZojCLJz5AJTcEwJDRFInBCvM/aifyNX13m8rUE1zZWabUs\nNBLc+3SXl27eYqGWxB/bpDMZPnnwkEJqjkGvz9y5Ep3JAElJUivmCcIxsRzRHUxxQ4ux6WBoGudW\nV2gNW5RKZQZnPQxNZzKc4ZoBmWyDjx8cIBpZsrkCb/3wU66e2+D0eIdv/OpLLK7NcXzWZ2IH2IGP\nJKZZWryEqqtUagW6ox7To4B0pcS9e49JEGHLEtubfQRDJlmqcvCkx5XFEk+Pxly5cB5zMGNxrsbB\ndhc70lBUhdgXiGKFj+7u4vhTEimdfDZH88gkkVIZdzuokcp41GGunOLujw/43K3btKwpgawR+yLH\nns+nT/a4fqdANishZJPMlQxuf/4OXqeLkS0SGBrJWpGBM2WqJwl0mcVz5whK5/E8g/lUlolYpZS8\nhEWN9nSVSbTE2VRjryfSHlpY0w5KJHDszjgZm4yCiOHMZ+qnuDea0tMVPNHnyFFxEyrtyRhHSqAb\nSUIpSVzJIGoy+VoerZ7i3Po5Vus1nr++zs3nz3Hh3HXmcgpJKYU87OI2hzzZ24OmSb/d4d3uMVMr\nQZgyqKwv0VhfpL66xM0rF1mQIkR7Ruv+PTZ/9hbKbMCH//n71NJnxJ9+ws01B+/9R/zb/+oOH3+6\nw4W5HKOxwySrEXRM4qTI2x8/4fUvvcY7Hz9lZb6Bqs+IxjLF1TxTyUN2JDwtJiVITFyIkyk+UpZ5\nZ2wQ2xYr1QRTyaaeSHAh7LF+OcNH79xnoXwDrVhBywpcvlam357ixwF6VmPzwTGKAktrCwSByO72\nMe3WkPmlBvOLDVLpAgtLS3TabYLIZ9C3EeUInwmyrDLsT7h8ZY3N+3v0B2OWli4xnVpkMhphHDEe\necSx/IyOsyesrC5x+dJl2i2TF164jee73H/yBFXPMJlNcN2AXM4gm60ixgGS53DnynmsQRvHcskU\nsly4fA1ZNbjxwmU8a8Yn791HSepks1kiP2Tc6XL+fJ3lWoUPPvyEXEFjZX6RTD3L2nKV2ajLC89f\nYdBvkU8qfO0rX+In33uHy5cvoudSGJUcaBE7W/vkKhXsUKKRNYgIKZSSXF1tcLSzx8T2uf/4Ibdf\nvcKVq+epzzcIJJfPv/ESGU1jYs6IBZmV1VUEISTyQlonfeLQJ/JcFNnAdmzy+RLtVotapUzKSCGo\nMgu1eTbv72MFHpbrIYgCru0CAomEju8FFAq5Z79KUimy6QRPHj9GkSUa9TnC2CcG/CAgAlRJIpNJ\nYts+WkLG8wKCwEWRkxD9/fStCgghhi6TSmmMR1MERIgF0skElXKB8WCEKivMrOCzFeQ3rqtc2Cjz\n/ocD0jaEWoAzg9nsjCD0UZLzHLV3SecanPb7aJFCNjciFFUyCY1Br0lvNsUVQurFJY5PBiwsZEik\nczzaOgHB4OP3dihXSliOgx8bbB8c8vZ7T9jf6XF60MK3BVYuzvOzdz8iCiVmrS5BBCfmhP7pjMfb\np1y5uEa+oDKbjsGLydXnccYmSS3NtRcvYk3GnFub46Q1wLNE3OmMYiVNf2YjiwKd/gA9laQ/jun0\nxrx4YxEh9JlNYzqdEZcv51hbLXO0Z+N4MwqlIoqicfHmCqeDDqlMAkSby7cbdP0Z09mEi2tFZtGI\nenWBRHJE7EekMkA4pj8Z8vRpl0+eeuw0h4wnDq4n4IQS565cZxIlmQQGg4HJxA3ZGQWkUiq90UMi\nuUkpa9O29kFT8KWAaRxiyTKmLKBm8kyEiJECU0NDqaYo5LOImsG5pSLZQpGL16pcP3eJc8+tc35j\njcuX17nRSLNSqBP6HsbEZdTtsNsbkBi22H10zFH/EM+pkEl4JDeWmFtdZn1lnaWVecBFGLnE7QO2\n/u4dGrrAX/4f/yf/9IUav/9v/wP//NvX+O7vf4c//u0XePet+/zhv7zNz77/Nv/uN7/Ed777Nr/1\nG1/g/fd2ubki8pO7XS6+WGf5dom0FvLt33iDX7y9y8WNNTrCJsXLZc6sPqoDqVQaZ+gwnY2ZOX3q\nSQmFMlsJjQ8sj5kKuiFT0H2W8g7jdpNaweH3/933uHf4lHy2QjrvI4lTRv0jDF/i/Y9OIc6gqyGF\nmkQcifzyrUdIosGlS8tMZmOKuSK9ZhMp8qjkNTYfblKtzzO/OE+veUplXkJVFC6cX8QZjenMXALH\nY7VcZP+kSbc7QJIUwijAtCYUSjk+9+rLTHpD3n3vIy5fvUh/cMrquTWSSZ32WZdkKsPq+ipGMkl9\nZY7QHBL4EbutHulCiv7EpdVu0j7rc9wf0jo9RsVncXWFiRWwvbXNnZevYZ0d0DUnSMUSz107x1/8\nxY/59hffoNNs8d0f/oILG9cQQgfzLORP/vpHeJOYUt7gyfYOkhdQSRoYko6mJLCnCrVskUI2w+lB\nC1lWmEyHVIoVMsUcCV2jUMzx4O7HjPsmndMuzeYBZ50m8wvnkJMGQeAynVr0RiaBOwNEIlFBUlRm\nUwdZUyAW8V2LUj7F517Y4O2fv8vM8rBsB1QBgpBiLotje8gK1Os1BCGmVMpimmMsOyKIImZ2wGA0\nwnZCbNtDVRUkSWIun2MwMBEVEd99RgvJskIoBNiej5FK4Lkeuqpi6Dq+a3Pp4iqDQR9FU9l47iqH\n+/sYyQhRUjHHn7Hvh1/8/AJpQyASNPb3j/HVGN9XMLLgCQG+4jAaueSySZz4lE7bIZZcgsDGHsgs\nzlWIkkl2zkacNod4kYbvJHjyYJ/YlsDzWJ6fI5NRULMSzf4p125fJb9aZmH1Cu2jU5JqzKRjc+PW\nIs3eAFVT2To45s3PvUFr0ObzL16kUSrQ6/cQDRnPDgnDmAeP7jIe9ZkMTTTDYDScoaWSnB52URSJ\nKJZoNYdEkYwfTlhaKaFrPqmkSLvZYzTwSKaznDU7dE5NihUJQTbJZDLkciWmUwvTHKCIEWIkUK8t\n4gce+wdt0nmdTmfGWSdg2JMwdJ181WU66BHGc/zwZ3u88Ool1i8L5LISN198kfvbexiFKi1ziCCF\nFMsZ8sUZ125q5Gs+yFMurhdZWdBJhENUNWSY1FGSBplSkXKtSDorsb5SpDFf44tX13luZZWNuQpv\n3jnPasWg5QR44zP83TH72/ewpy6d4yOOTjr0nBSELulMntJyibl8jlpxidVCAhUI+h280SFnH9zl\nvOjw4z/+AV9uBPzBf/gD/tU/vcGf/vu/4ge/8zLv3Tvkv//CBZxA4POpY0q5HFe8U1avrBM9PSF3\nrox6NkBfv0R2YIEeY/V7GKVVjs66XPj1W2iSwEmrz9X5IoJp0msFyKHFhZUcu2cj5KTHzizmwsVr\n/ODDLV54/csoroSf0nksJdj0VGauQzL2SUZ9VLVPOB7h2iGnTw+pZ5a5+eINVMnFmo4QBJG0vsDR\neMSt15aJ1Cb15XmePHzI9XMvMV/LUJ+rcdo0SaUynFutoopAZJDO6PR7HSIv4mTngMXFJVKSh2+b\nJJNpjvZaJIwMt27c5PDokP5sip5MIgoKoiwThwKvvPQK9z69z8wNGIwmmJZJrlTgwd1N+qddpkMT\nZ2bTOWnRa3VxOz0yJQMxp5E2kpQkjdNOh0Z5BcsboygpVteWkCQRZ+YwaPd47spFlvJF9veOCJMF\nGFs4/pCUoLNvNpnaAaV8if3tbS7dWKVeyNEd9ag18oSigyDLbKyvE1gm8yt19k52uHF9g1a3Q3f0\nrFyTKiUoGikUXWJs2xjpNFv3HpBWdGLB4PDklF957TWG/Rmma1Mrl1lbXeLmlaukRJWrGxvYns/R\n0Sm/8uWv0O41Ob+yxvLyHI16lXv37jEOI8a2h+355HN5AtfFtQIs2yOXS+F7AbbtYtszYiIcx0FW\nRGaWC7GE54WEQYgkisRxhBCDOZ2QLxUZjCdk81ky6Qyz2QwEkTgOkeT42VOMKCIKEpqic3hwShwJ\niJLIZDagUS4zm4GRSdDvTD9bQa7lJ9QLWWbDEcVijsbiHPc/OqVYkiAOEFWbcc/Hc12WzmfR9CRu\n6JJMa7z/4REvv36RuXM1avNlslqaVFbmwd1dQt/m69+6ye7JFvNz57CmE1IJibSRJSEqVIoiw1GH\nUNQ5PGkhRS6XV8soiszJyGSxvPj/MvdeUZpd55nec9Kfc6i/qv7K1dWVOlTngG4A3UAjkyAJBlEk\nR7I14mgk2dZ4aZaXvTw3vrFHM56RlUYaSZRlUhySIsUAAgQbAIFGaHTu6u7qyrn+nHM40Rc1a/nG\n40uL53qvc3P2evd3vv1+z8toJEZNrVEumywurhAMR6iUOoQ8DgTJZPTgAURBJxzuJZHK026J6JqD\n3c09nB433bYO1n6On9stYZclOq0mWlvH5wvg8YVJJAo8/ewsDo9ApdymNxYgEhwguZdCNVrYHeDx\n2nG5wnTULoKtS/9ALxtbJSRBYWJyijt3HjA67sesdonHe9DENuMzI6RSRTTNRLHJeIIWF588gs9t\nMTBsMjjSJext4ve08NkszHaJyTEPzVoOU2viwUbf4EEO9ceYHHQyHHOgdDXMskp9p0F1e5v57T3K\n29uYxTKdvSyNhoa9DUJPhJ7+IXpiAU4dmqEnMo5kr+LeTaBWsxQf3iVgtbjzo5/z1DEb//Zf/1/8\n0ZdP8+d/8X2+9/tf4tHt2/xPLw7jED2cF9eZOT2DuFnixcsX2Ln2Fl/5zFE+ePN9PvXps1x/b51L\nL57n4w9XOXfxPN+8+jFf++IX+JM//wFf+Pqr/OAbP+TzLz7Nt9+7xfOvPcUv5rfA6HD77irPnz7I\nxmKG1w6e4Kc/+pihyRE+Wd6m39VLpSjiNjz81U8+pE6Q+YfrRM6cYbcBt0SJthbE6/eRS+7SbImY\nLScuh0Ao6kJrdymWClh2iXfeucvByRPkChUMy0RSbfgdblRDJZcvY0l+0oUEhZLBXnKHrl7D53fT\nKKtUig3yxSy6ZVKs1Okd6Ke/d5hWt0RbdWIJIm4XtJoynU6XZDJBNl+grevU600Mc38AZXp6glxm\nj263xcTUQTa2dzh27AQrj5aJ9PRQbDfAoRCL95HK55CddmaPHuH4zDBzo/3IkgtVEsgXm1TaNaKR\nCG6Hm3S2wOT0YT755C6y3cP61i7VQoWapjP/4DFnLj2LXs9x8tAx/Gi8+e5NsHswRINyMsP71+/S\n0x9nYKQHtaZjdix20wkMWSGTzeL2KaQyKcbGp6lUG7z581/Q4/fhdHvZ2M5QyhVppCsYBmzsZKg1\nW+TyVbSWzqO1NY6fOM2R6RnGfFEe3rjPWx9+yOLGGvGBIX7lc1/CancRLZN0KkMqnWJ0ZAy1o5LL\n5pFlGVXromld1I4OogyigKHriKKMrpsIAjicdjpdDcsS6evtx+v17RdxpoXb7UJVdSRZwuV3opoq\ndqcClkmt0sIwTDxuJwImdqcdLAtV1zE0i3ari6ZZIICkQP9gL9VSi0ymTKvbRW39kl12Xnwlgtbq\nUMmUCPpcrG+uMzwYJ5ctMTocB9FEV2WKuQ4Ol8ReKkPA68MpBekZceF1eSlUttGaMjGnh8igwZlz\nswyNxlhc3iAcinNvYZGO3qDVEnBILurlGqWdLFMHe6lpLRqaTm/Mx9p8Co0OmWyHoDfE44UN+gd6\neefjeQzLSb5QpV7NYTUEgtEQ69sZwODRow1GBuKsbRUwLIlipYQpiNRqDarVGl6/xGB8jFqlTbm0\nzxiOxmS2txNYUofd7SLVkkm9XCMaclPKtNDaOtGYjN/rZ2jYgy9kx+31YppdkokNRMPPgdFe9hKr\nDI/0YxgVGrkqfnc/xXwRw8ojSRb+gAfFLlDLVwg6RexUEK0GdtmOqFq4ZBlFFNnbSSNoNsqlGrV2\nm6DHjqlobCW3qGsqDd1OrqQhukI4BkNMxIYIxaNMDA8TDUCh06GYTtKttyisPETKbbL+zlVCVp03\nv/GXfP34CB+8cZU/+folPplf4F89G6Uqu/n1AS8H+iNElz7m4KnjaPfuc/DYDOnkGk8eH+X61QWu\nPH+UH7/ziC99+WX+/Bs/5Muf+wx/+t33+dUrz/KXv7jGi5cucPWdeV5+6TS/eP8hL18Y4wdvzPP1\n50f485884MWXL7LjBJdehb4IqZSKFlMYjga4t7LHnMviXqXGkYNe0sUUuYJCOtvm3uImhuYmU++Q\nrDSZe+YZFroOmqqCHLLRLJcZmzmKVK9Cs8Ruqsra+iaG4WLyUD+Kr47LGyZd3MEd8CA7VG7dX6RU\nauH3uTg47EPqRtnYKjJyqJdGtcOxmaOsLO0gCgI2u4g/GGZkZIB8tUatq5JLp2l1ZDKVKnavQaMk\nIypOQgE3I6MjSIobUxDJZwuIgoDX58EwVBRR5OiRo/zkx28imNBpVfF6XCwvr3L5mcsU8lnGhoYw\nu138Lje5UhG1VMAumNTaXVZWtjF1i89+9iWuvv02iMp+Zd/o0mg0mZqeQHEq2PwePKN99IaDrK0t\nU9eqvH/tFmm1QSWv4bTZWVpYZ2BsgmMHJ6nmmqxurHP2wkUM1WR9c4+z547i8ThJ7NRxOSV+8P0f\nE40GifVG8Tt83LuzhCTKrK7vUSnX2UyWqDRaiJKEzeZAc5jMzc0RFGzMX7/D1Q+usVUuEIxFabfb\njA4NsbGwgGDoNFotUrksLqcPLIFwMMhAX5yVx4v4/G46Wpe2rqLYZBB0ZEVBkmQ8bg8D8X6qlSp+\nXwCXy0liN0WpXEEQLcJRP/VGDUQLSRGwBAvN0pEVGV3V0TsqwWCAVrONYVr7hwUikrzPYtJ1E6/b\nTafbwRf0U2mUaVc1Ol0NURTRur9kQj57LEKpqmNzwHpaY2TQi8/nZnOjjd3TwSaGcbjcWKaHSNBN\nvdbBLrlxmBVE0Ukzr9PTP8CDe7tEfEHWlttUMnkKe1kGomO0KlXOPHECwybiDfr58MYjDEmgicLG\nZh6Hbkc0DML+AQyHSGIvx7G5GRbXt/CFHbz3wQOOzoxQrZaI9EbpmmDpAnceLGKzuzEsi8nhGP4e\nO/HxfjKZJLVmm9HpIXSziMNmZ7hvkPWNBPlijYOTo8iKuU9Ea9sxBRuyZNBoaRw8GMUmGET8ATKJ\nJHabF7VVwyEI2G0d0jtpekJ+Rgf7aTZ0DL1INOplbyeNAxG73U0wZEP2uEnk2ngkBRc6HruKL+ig\nUs9avrr+AAAgAElEQVQieu00W11q+TqmIJHN5ehoJpLbizNgZy9TZHCoF8looqkd6g0Vlyzg9ihY\n1RrZpQTjVpbXf/4R58wkb73zNs/KdiQlSWNzm997ZZy1D1f4N//dFa6/cYM//s1xVlYM/qujFm2c\nDAoNZiYOkv3kNicPxbn+4S1eeuUEb19d4dUvHuGtH7/HS5en+P6PF/nsq5f56c2HPDse5s5mimdP\nHOe7793j6aMONhI1Rhw12vYY7laZlOwkWl6lE/VjbT1AGe2lvbGAFR8g0u2ync2TbznI1WvsJXZ5\n+swMG9d3eOGLl/nhxmPcogvHwSizh2fY2Woh9vhIJEvosozarCI5XFQ7BaLn5nB3NZqmgt3uwdxc\npU+xg6YjOgQi3g52IUymkcQlCQyNxBBlCzSZVtVGbHiEcqVEraKyvJolHO9j4kAvvV4XNkEllUyh\nmxLpRIbLFy5RKFVRTZVMZodyuobPr4BdYmc9iUwLm+xHNQx6Yi72dna5+2ANSZFw2pz09fURCgXp\ndLt4fG421rcQJRsOpxO7w4ZhafTEB1haW6NWqmJobVwOB6VyDV/YT8DjwrTstKolLl9+AtEoI+gW\n6ztFvvTai1y/8YBKpcbJCye5d/0Wwz1+QOczpy5wf/4urWaNqeEhkttlaoUmvqCfZDqD0dWh0yKR\nTbCynOb4k3P8/Cfv0S4VGZ4YxKCD3+VloH8AUVQZneolWylwIN7P9sIadqeHbDHL8MggXdFGp92l\nq+t4vQ6eOHuUM4cP4JY1lhNb9I32c3j2AO2uyuxoP4VcjpDbjdPvolTKcnL2AJtra7S7LaqdCosb\nq2TyGYJRP6VyAdOEgC+IbjTwev2omoosmhimQalcxjKtfXO3IFCr7we8yA6RWrOGIIJs249vw4Jo\nLIwo7PNfLN1ClPYrd10HUZLptgy6HRWnx4mmqQBouoHTa6dQaaAIAl3NQJJA71r/r0Iu/v8r4f/P\nMxHrQ6vVaHXbDPRH8do92LwirrCOXQ6TS1ZBF6jV6jx8sEG/f4Co14amqyxv7LKdzNFOCoxFJ7jz\neIdoxEOqUMIeDNAVOjgcbhaWN0nsFNhb2mNiqI/RkV4kpUmlrpOuZ5BEmXQpSU9coW84ytb2FqfO\nniC1WyTiD7C7k8Tv97K9s0e9oVOrdgj6+9jY2UapSeRyNVyGga532EvnuHT2OEYzzWc+f4FDR2Ls\n5rcJBYPYkEmuZmmVdIr5No12FdM0sDsUHHaYv7u9v0FqRRSnh2Q+Q7VjUWy1SOer9MX9VMoNVCNI\ntZJlLZHDbBt4TIWI4cXu12nKXZY2MphNEbuooskC1bpFt2zh842w8DCF2rFTNw02y2nsHj+aIZAu\nbmOg4XDIFLIlEnsFJGSCbpOYWaOVWOd/nBMJdvf4vZEmv/WSH39+nf/zd0+Qnv+Qf/nkOH6xw2w3\nx0SvD39ll7NPT1He2uOVV6fZ3NrhK589zM0b95kNtLizWmOy18fCdo5+tcTNHY1oqUbSHkISNOSI\nk/riHeJTg6wt7nHq1AE+/vFf8+UvX2J+fofTL17h1ofLnJ2L8tEHj3jxycN8/ME6z1+Y5Nq1NF/9\n6pf44c08X/7Sc7zx1tu8dHSG5U+2Cbt9VMs61kaVRtfL5tISi6sp/vlv/w4PPtqglqrz/GvHsAUj\nRIcHMRwepi88gdkxOHPyMOFamtHpfoYjCv5WA2NxjRvvvc/U0ChDoRiFRITUQooTB44yFL7Eo9tJ\nmpX9Pmhbr5LfXWZ6bAjJAodi59zpKR4/2uF7f/8xG+stVlfKbG6mKNXq/NnffpOdYpn5+WVyGZVS\nR6VY0zDaOl6nk3BgGJtD44Vnj5HYzmN3RghGfQgiGCK0DY1HS0v4vQHu331EJldANw0anSa6JdBR\nLZYeL9NqtOgJh/EH/JTqRWSHiaBDt9IlHAlhd8l89egIfV2Ja7eWeebp41QLSZ59+SnGJoZIbG7i\n9Tk5NjdGwOfhb3/wA7bTaSTTQV/sINuJAoV2B0NtoqBjc9hY2cvweHWXrtrkB998gwMT41x67izt\nRpvFR6soDjs7qTVe//E1Prm2idrQyG3mcDrtZNIF/L297K4nCXsc4Jb4rd9+jXiPnyMH+rh69QNi\nI27++L/9NZ4c6cPZbfH544e4Ob9I38QYyVyB1FYCtyfA4loKu78HQ3ZTLDWQARGBcqmEzeEEQaBa\nLBELR7CLEool4LA7kEQZ09ARRBNVV7HZbciKRNcy6GgasiIjKQqmALJNQXGIaO0OjXKbUrEGsoBh\ndUHSEIQufp+Lnh4PkgCNSgu3w4FpWIiiTLVcxyZKCDYBSRKxjP+ynv6jCXkpW8Um2Dh58hAzkz34\nXFEWFx9z4mwvuzs1opERohE/xUIWt1OnXc1h6A0OnTpGOOqhL9bP4uoOsl1ibHiYWqPOYHyccqFK\ncjdFU7WxuLBBwOUir9a4cO4UNocDrRPA6ZQ4eeISj1fTpPMVfvHGIns7FRSnQbq0gWxrYlktqo0W\nnU6Ti+eP0W4VMKUSE8f6+NRnnuVhcpt61+LBXplmssLp89MsPFznpbOvUl1KUaw7cFg2HLgQdQ2f\n04XabjA4HCPSF8Tj19nbK3P63DFsUg8IAqJip1Br4PBKNFtNPE4XDtPL9lqN9F6Vhzce4nD0ciA2\nxnY6hxIUKTg6VPMWMjIzh9wE+2zcWmxy48E2lXqHYtskVSxwaGKc0k6C6eFxZsfHqeVrNPMNDk3M\nklot41MU+nt6mD5yCEsSaKltcnqe3rCL20vL/N5nJ/nRW8v8zsVZUlmLyUiUstdOY2uPM2dOs3h3\nkwtP9HH1zQdcvHyF199p8eTpKa7drBIQRZJlcIoNNI8bW7XKgdkpCkt5jj83SD6xzVPPnGD+g1sc\nn4xw//oKl+dGeO/uJmdn/Xzw4S4vHXdz5+pjjg1I3CyKTE74SHVajKnL7HXshOt5bkshhGydraxB\nsFGmKEZQLCdVn53FRBZ3yMFo0Ekw7CbkiSF0Xfyb736TsROzNKQ8C48/pi+aZO75s3iEOhs3bhPq\nc/H2379Le3GV1s/eh9VNbvztt4lFQsycPcm3v/0dTk2d5vrtx9jqGqe8g8w/WmRu5jCW1iWXzlEt\n67R0hVv3VmjULZoVg+9/520ajRaZXIlsvoIo23C7PMRi/Xh8PrKpFOgGA70+fD6F8bFBkLpYskW6\nkGdzp8rifIp2y2Rvexu1XsUl2wi4POxtbSPoBvP35jGN/YBgTVWJ9/WQS2e4/PTThAJu+kIBatUy\nyWSSU3NznJqapC8W5PHuDobiZX4lwWf/hz9k+ok5ErkMd26vsLi6xcKDxwwNDOFwuvF6QuQKGj/8\n8cf4I3EyOy3uPFjlX/+7/8DIxBiIAq2ujGqCy+ukb8DHxUtzVDstLIeDD27fJFOvc/vhQ1RDRHGK\ndIQEB446ESWTTKGErz/G7Ucr+L1u7KrGP3/1EnpN5eiRQ0TdYcZHelmvZrF73Pzd966RT25zKRbm\nzPQB/tP717hw+AC9ToELT8xx9OQRtjd3OHH2NNV6BwQFp9dPS9Oo1euomoGm6VgI6AL4fD5ajRai\ntJ/4I8sCsiwSDgWx2RVqtRqSsu9+cTo8YAlYmCAYWJaBKO/jmI0uCFj7Ii9aSAr4/F58Pi/1WpWe\naAxFtKN1DbBELF0gHhtANgR8Lh+iJSKLyn9RT//RWiuD4x18oQi1chqX02D+wQbnT82S2Nnm8MmT\nJHbqrK5sE/S5mJudYO3xJgOTcd796AaCqaAIQew+L2sbCdYWNkjuqYwODlMqpRgYG0Q0GkwdnaVm\n6PQ7w9y7+5ByOYUoaxyaOcFf/Nm3CIbCdNotumKXJy5MsbxQZnWtgFo1EBQbpl1ENgQULMZG43iC\nDuK9+y2O3ok4bbWAYnPjs/XgVm04hoI0y2Xml9YZGzqGx+iyvLhB70CQWqPGxPQYyXSFcrWKJNqw\nORQePtqk0zDwBQ1WVwpYsozTZRIIueiJRtnbKjI2OsP2ZhGbw0GxXCTgdmHJGh3dRPBKNBsGotSl\nJxAhmciwk64Sj4UxLDs37q2DJdLj8eFX7IiSwL1784z0TDI7O8FWYo9GRqPRqONxQyKTpN5oE+kb\nIlNJMjYQRxSdnBkNcasNZyMuHtb7CFfn0eJxtO0txs4f4+237nPx+VN86zv3+LUvHeNv/vo6nzpl\n42cPqzxx4RKrpow7tYpneorkjYeMXbnCW999na/9/q/z1vd/wadfPc/Vn89z5dNH+el7aZ55/jjf\nu7XJMxGRD5MSl/uavP6gzQl/iE2zja8tIXgjtComrokpmjtLHJw9Qv7hB3gPz1JfXcfe4yBXFhiL\n9zFshJk5dIjXb64jHJ3ijdu3GZo9iG5myGxUiQ2EGB+JMzE6gtksU8rn8HZdJBPbPHHuSYxMhqWF\nDW4ntpju9ePxRrh79WOGR+IsrWxSrNZoZpPEXG6ISwQDA7zz/sd4vTEU2cnmRhLTspHOVah3OwT8\nfZw/d4nHDx8iCdb+0I4MmmbwxNkzHJuZwNS7yDKcmjvC8uNlXB4v0Yif8fEBnnn6POvbCaqVFqKo\n0G63yOTL5PMlIpEAistB21QJRELY7W4ELNrtOv/ka7/OX/3l3zBxYIDD07MYpkqlXqXdaBAPRLn/\neJPIUC+KXcLh9BIa7KOYb/BocxdTU7ny3GWy+SIP7z9EsATUtsatuw/p6/XSqGep6Rr9A3GeeeFZ\nbt25STjQw8bmJt6AD0E0EAWJ3h4POxtpui2NJy8+hdNtMjY6SMdoc+3ja6S267jFMda2sgwODRJx\nVAn5nZydPkTAaafP6+Z7P79OslHk8fIKWi3P2Zkpchs57EEfc3NH6Xcr7FYaNGxdVrc2CbkVZKeT\nze002XSelmnRVlU6XRVVbdDtdBBEmXa7i80uY2oWgmTSblaxyzZaHY2O1kaRJAxNQ+92UbsGvX19\nuFweSoUSnVYXQRYQRQuHXUEWBQRBQBJAVTVkm0RX1zBME9MSwIJyqYQoKNRqTY4enyWbydBuqciy\nyJEjM6QTGXRNQ+3qIICu/ZINBB064Se5XWVi2k9vfxRTlTEbcGTuNHeXP2Zjrc3MgWlMyySxs0Gl\n6UZyCfT09lMttVha3WGg/wAuhx3LtPP8izNsbSxz6NgUPZEIv7j+kPPHjlKq5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CqrVZX9/DEUIcN8Q3JXxXY3V1m2Q6SiSqUq83kNSQje0y2WKawlgEQ40gIZFIJAj8o9TY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\nRo/5qRkcyWAokeInvvJFtMYO+aVNao06qUSUyYl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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The image itself is stored in a 3-dimensional array, of size ``(height, width, RGB)``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "china.shape" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ "(427, 640, 3)" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can envision this image as a cloud of points in a 3-dimensional color space. We'll rescale the colors so they lie between 0 and 1, then reshape the array to be a typical scikit-learn input:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = (china / 255.0).reshape(-1, 3)\n", "print(X.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(273280, 3)\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have 273,280 points in 3 dimensions. Your task is to use KMeans to compress the $256^3$ colors into a smaller number (say, 64 colors). Basically, you want to find $N_{color}$ clusters in the data, and create a new image where the true input color is replaced by the color of the closest cluster.\n", "\n", "Your goal is to fill-in the following function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def compress_image(image, n_colors):\n", " \"\"\"Compress an image\n", "\n", " Parameters\n", " ==========\n", " image : numpy array\n", " array of shape (height, width, 3) with values between 0 and 1\n", " n_colors : integer\n", " the number of colors in the final compressed image\n", " (i.e. the number of KMeans clusters to fit).\n", " \n", " Returns\n", " =======\n", " new_image : numpy array\n", " array representing the new image, compressed via KMeans clustering.\n", " It has the same shape as the input image, but contains only\n", " ``n_colors`` distinct colors.\n", " \"\"\"\n", " X = (image / 255.0).reshape(-1, 3)\n", " new_image = image.copy()\n", " \n", " #------------\n", " # Your KMeans code goes here!\n", " #------------\n", " \n", " # if you convert back to integer, make sure it's the correct type!\n", " # i.e. new_image = (255 * new_image).astype(np.uint8)\n", " return new_image\n", "\n", "# create and plot the new image\n", "new_image = compress_image(china, 64)\n", "plt.imshow(new_image);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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U+HvKxEVIWK9R+EZ1SUc8HjlJ71RQRpqqDDZusZVOzZ+X0z0IMoEonrqiGbcF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\nsVcmoqdpE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3YfoaFrMT0nhrHr69FGpsjKbob7evA1tHBi3ylqF7XTd7KPxhXLObL3IItW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OePjsGm54wERWjCf7nD92joPR4d9YT79lhfy9a+s04pDhwLHx3iYLXVg5ytnwFV5Q8OwTnyQP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Znl82d56823mJudpbu/TSCC43osHFvANfvIgobq2xD2SSEjeTZSDEE44HGg+jg/bs5hkC6N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CqrVZX9/DEUIcN8Q3JXxXY3V1m2Q6SiSqUq83kNSQje0y2WKawlgEQ40gIZFIJAj8o9TY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\n8XuPsrW+SbNhYFpdHNPFkVQ0vUR6UCU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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "How does the color fidelity compare to the original?\n", "\n", "Hint: because the calculation takes a long time, you may wish to test it on only a subset of the image. For example,\n", "```\n", "new_image = compress_image(china[::5, ::5], 64)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Give this a good try! If you would like to load the solution, uncomment the following command:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# %load solutions/05_color_compression.py" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 } ], "metadata": {} } ] }