{ "metadata": { "name": "", "signature": "sha256:25ffe5166f35b1d15c4669f579a4b0fdcb4a731511b65df2fa20827f7f688217" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Supervised Learning In-Depth: Random Forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n", "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "\n", "# use seaborn plotting defaults\n", "import seaborn as sns; sns.set()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Motivating Random Forests: Decision Trees" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Random forests are an example of an *ensemble learner* built on decision trees.\n", "For this reason we'll start by discussing decision trees themselves.\n", "\n", "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import fig_code\n", "fig_code.plot_example_decision_tree()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oUP74449kf4n5448/yJMnDw0aNEhyLiAgADB+TAAPP/wwPj4+bNu2DYADBw5w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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The binary splitting makes this extremely efficient.\n", "As always, though, the trick is to *ask the right questions*.\n", "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n", "\n", "### Creating a Decision Tree\n", "\n", "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=1.0)\n", "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I9xVVKgC9e6ESAKX+xKjw0NMkTZvM2Du3c/a/tHMbRz74mI6vTivlxhaeRqPh1PYtpJ4J\nRWVnR4vxk/VuA9jY2NC1gC8OgiAUjQjAz6m+P8wlqEYt2L8Hs8dJpNWqQ80p06jbsnV5Ny1f1YeP\n4tzG9TTN03OPsLTEecDgcmpV/m46OfEvYIE205YS6Atct7GlRr8BevtH/vIjo+/c1ilrlJLMzYV/\nkDZqXKkNJatUKk5uCSTt9i1cmjTFt2u3Ah9HS0tLY+fE0Qw6fBAPtRoVsHv539z6/CuaDRhSKu0U\nBEGXCMDPKalUSreZb8HMt8q7KUaTNW/J4f+9T8z83/CPfogEOOTiSvTkqfgbuRhDScrMzOTk+jVk\nPbiPU9PmOs9RXzqwj86hp2mVa38lsBgwHzmafk189OpyCDtr8DwBtyPZtm0znYePIurmDa4dPohr\nrdr4dOhU7Oe2b1+7yuW3ptP33BmcgTtmZmxu156uC/+mkqNTvscd+vozph7cz5PUJSZA7wf32fTl\nZ6T698TGxibfYwVBKBkiAL9gLh0/ysOtm5EqsjD3a1vkDFHPEnEmhJt//YGl/BpKWxuUnbvR9e13\njHpmttO0mSS8MpL169agUavwHTqcxu4eJdo+Y4SHnOL2O2/T/+plbIAoU1M2te9EwJJ/sLWz5+E/\nSxmZmKhzjCngb2rKrZ599OqTSCSopYavswLARMqWma/RePdORiYlccfMjJ0tWuHz029UrV2nyO/j\n8vvvMP7cmZzX1RUKphw6yPKPZtN7/l/5Hmd9/BiGWtv79i02r11F18lTi9wmQRCMIwLwC2TXl3No\n+dcfdMnOqBS3Yhnrt2yi/9IVmJsbv1LQs4SHniZjynhG37uXU5Z++hQrb0Qw8I/FRtXh6OSM/+sz\nS6Q9RaFWq7nx0WzG5loisZpSyZRD+1n+yQf0+WUeFjfCDR5bW6nk9OmT0LGzTrm5uTmJzVvCjq16\nx+yqXYfU8+cZu34NT5JEeikUTDhxjL9nvUmVzTuL1BO+evYMfgayZEkAl6NHstdZNnzf3STd8Gx5\nC0CVItIMCkJZEKshvSDkZ0PxXfQn9XKlM3QGJu0J4vAfv5fYeSIXLqBrruALYAW03bkd+dnQEjtP\naQrZu5uA8/rDxVLA7ngwarUahYODwWNTATM3d4PbHllYsh7tUDVoJ28dBa65uWFzaD+GVuftFnqa\nsODDhX8TQML9e1TOk7jjCYfkx6QaWP7xibQGjQyWh9jbU1c85ysIZUIE4BdE6K8/09hAr8YCMD1u\neN3YorC8dsVgecP0NO4c2Ffs+lNSUtj/5zz2ffMFZ/ftoTQWC0l+eB+XfOq1Sk5BoVCg7BbAZSAp\nz/Zt9erTxsBjQikpKchOHacnsAPYCmwGqgLNw8OxjoszeL5qCgWxEYZ72wVp2L4Dxz09DW6LqiPD\n2dk532Nrz3iTvVWr6ZQlSCRcHDQMr7qyIrVHEITCEUPQL4D9c3/EcXdQ/jsoFSV2LpWNrcHyLMDE\nPv+8x8a4eGAvCe//j8GRNzFHe182sHNXei1enjOD+GrISY5u3YjiYSypXt6Y16mLi4cHvh06I5Xq\nfp9MTU3l1Ia1qNLT8R08FNfse80+Pftw5Puv6RIbq9eGpHr1CVn1D2bbNpMmlXJCrSEeDa2AU42b\nUP3L73RWG3ri4YP71Lp3F3sg7/xok9gYdtdrAHGP9I47XakSsjzD2caq5OBIzOBXeLTgN1xy5YuW\nW9tgNWb8M4e1azVrQeTyNaxcuACr8Oso7OyRdg+g75TXi9QWQRAKr0gBWCaTSdFOCK2LNl3tFLlc\nXvEyKbwE4mJjcV28EGu1irtoe1y5qYFMX+MXvC9IZsdOZJ4N1RtO3eHlTatRY4tcb1ZWFrGffsjw\nyJs5ZdWUSl7dt4dVX35K769/4MiiP6j17Zd0zH6MSQVsAJyA/b5N8fzwUxp26grAqXWrUf34LYNu\n38IUODzvF86NnUjA7I9wdfcgZPAw4v/6A6dcPeFzDo7Ey+rRc87H1Mo1lK8BfqpXn9G7D+U70cyj\nsifXPKsgu39Pb5vczR2b0WO58dXnOvVmAhcDejKgGJOwen78GQdc3VDv3Ib5o1gyq1an0shRtB38\nSoHH1mjUhBq//1nkcwuCUDxF7QEHADZyuby9TCbzB74ChpZcswRjnQtcz/CYaCTAcmAQ5KxiowKW\nN29JxzfeLrHzdfvfByy7cYNue4KonZmJAthZ3QubT7/A1tZw79gYJzaup6/8ml65KWB9NJjk5MdY\nLfgd31zPEJsAI9AG4VHnz7F11lsk7DlEalIStp99TOdHT3u4XWJjuTNvLifr1sNv8FB6ff4N+zyr\not61A/P4eDK8a+A+fhJOC+frBEnQTmoaERHOhUMHaOYfwI0L54hYthTLB/fJdHOj+ujx1Gvlx8OA\nnmQuW6Lz5UQB3OkWQL/XZnDc2obTa1dR6VYkqY6OpHX1p/fHnxf5moF29nWX12dCnkltD7JXdnJ1\nFcPJglBRFTUApwOVZDKZBKiEdgRSKAexjx6xE2gIjAV2o+1ZSYBLDo6MXBeIXTGHhnMzMzNj8JLl\nXDweTEjwYST2DrQeO95gbuPCyEqIJ780FaapqZz+dx1D7t013Kbsf/vcuc3apYvQpKYy+pH+8HL1\nrCyO7dgCg4fmG7iCPza8yEJVpZIjF8M4r1RgNestxsTG5GwL3RVEyFff0+Or71mt0eC5eyd1Hz4k\nws2du917EPDtTwC0HTsBxk4gMzMTc3PzUlm7+fKRw9z7+Ttqn9U+mrTBrzWuM2fRsGOnEj+XIAjF\nU9QAfAywBK6hnWzbr8RaJBgl+XESB96YRrvDh2gMXEb7nzIQsEU7bJrUs1eJBt/cGrftQOO2HUqs\nvno9enP6lx9onZR32hOk12+ARKU2uDRebiaAaWwsKBX57mv2+PEz68hydQMDK03FSiTY1qxN7O9z\nGZUr+AK0SIhn/YLfkA4aQt8f5vL448+4ciGMlEePaNigod49Y0P3kEvC/Vu3yHzrdUbn+qLS+tAh\ndodH8GBzEJW9vErlvE+oVCoUCgWWlpaleh5BeFEUNQC/CxyTy+UfymSyqsABmUzWSC6X59sTdnUt\nXg/pZWHsddr75lQmBe3ImcbeFGgCrEN7L2Bjs2b0+OG75+K6azQaIs9Es1smI/70aXrwdHr+CQ8P\nGr47C+/mzTm44Fe639XvBT+ZYpYO2Po0RGpqSuqKZRjM5dSw/jOvieOoEUSHnsZdqdQp3+vnR5tu\nHUicMQWAG8B5tL1vNZBy6QK3r1+gVYcOHP52Dg7r1tHm3j2irK3Z26kTXf/8E4/q1QtzWQrtyNdL\nGWxglCDg3l02rfmbJj/9VCrnTUlJYcd//oPlwYNYJSeT3KABntOn02bYsBI9j0aj4VRQELHHjqGx\nt6fTtGlUqlRyXzCfh7+VikJcq5JR1ABsAzzpSiSg/Rx6Zrql2FjxcH9BXF3tjLpOsTExVNm1W+8Z\nMhPAwcKCZdPfovsbbyO1sK3w1z0xPp5Dr02kx/GjfKJQEAPMs7XFyqMyVg0a4TX5NTybtCJLAUlT\np3Ppu69zFrdXA1uAJ9mvNzRuQpfBo5BIJKz9+x8mnQnR6Qlv965B7XFTcq5JYnw8J37/BcuLYWjM\nzFC370inqdPZd/su9uvX0TrqNvetrAhr3Qafb34kJUVBhqkpt7KyuAHkzpisBObO+h/hXf3p+/PP\nPHmK2CktDZ+gIJaOHkvfjdtKZdj5CfXN2wZ7/hJAFRFZKr8LGo2GTaOGMmX/3qe/jzExhJ07x94M\nFb4GsoYVRUZGBjteHUefA/vwUypRAjvnLcDy869o2lc/L3dhGfu3J4hrZSxjvqQUNQD/APwtk8mC\n0Qbf9+VyeXoBxwglJPruHWomJhjcVjszE4fBQ4s1IaosHX3/HV49fDAncLgBb6ak8HNmFjYNG+Ga\na4Zwp2kzudTEh03bAom7cIkHD+7jk5TIFUsrDrXyo8nHn+UMf7ZfvpblX83B5vRJJAol6U18qPPW\nf6lSsxYAoQf3E/72DN54cD/n3Gn79/LP2TMMWfwPqTPe5mzoaRwre9JbVi+nDXtatOLekUN6Mw5N\ngbFnQ1kaE42hFB7dTp0g7MhBfLNnaZeGTFe3Im0rjrBDB+gRfFjvy6BPUhKrVyyDEgrAB7/5nMl7\nduXc7zcF+t+9Q+AXn5LWtXu5rJksCMVVpAAsl8sT0U64FcqBd916XK5aDa+7UXrbrnnXxLd66d7r\nKykpKclUPhZssNcWEHUb02++4PbSRVyf/RFtRo8DoFHbDrgO6P20F5uYgJmZOc1zLR6Qnp7OmVXL\nsYp7hLqODNp3oNvEKZiampKVlcX26VPQ7NzGG0qlzrmtgQE7t3Fm905a9OxD8876wbLG7I+4duoE\nZGbqbXNXq7EwMPkLtKknj167BiUcgNPT0zm1YS3KxARs2nfk8LbNdIqJ1tnnsJs79SZMLtHzPhF7\nNpTu+WTjsoyMLLHzWB0Lzgm+ufWJvKnNXT1pSomdSxDKikjE8RyytbXlUb+BJP3xu856wAkSCUn9\nBmJlZVVubSuM5ORknPOZFFUZkAM9oh+y7+vPienWHTePynr7OTg46rzOyMggaPQwJh49wpPs16lB\n21lx/BiDlixn/9efM3HrJoLAYOD3VKk4cuhgvj23Oi1acbNVawg+ordNA6Q6OECafkayK1bWeLVs\npVdurKsnjxO1ajkW0Q/JdPeg+tgJZCYmkPjph/S9EYEVcM7Wjr1Nm3GvsietL4YBcL55c+xmvE2D\nXL34kmRR2ZNkDGecVjjnvxpTYZkYuKaQnbu6gIl1glBRiQD8nOrx6Rdss7TAYud2XB8+JNazCoo+\n/ejxv/fLu2lGc3f34FCdOrS8eEFvWyjQNvvnbrExrF7+NwHvflBgncELF+gEX9BOWBi2YyvBgRuw\nOnwAc7T3j/OjNjfU13rKvFdfEo4G45gnneU+N3eqjJ9M1E/fUS1Xr1ANHO/UmQHNWhTYfkNCAzfg\n8v7/GJ0Qn1N2cO8uHklNGJGrx900JZnawYfZ9sEnRH2nnXA1qHsn4uLyzwldXG2GjWDboj8YdfmS\nTnmCRAI9Smb4GSCtXgMwkLLzrK0ttXr0KrHzCEJZEgH4OSWVSunx/ieo3v2QlJRk6tnalfiyg6VN\nKpWS1LEL8ksXkeUKZtFAGk97VRLy7wHlZXo2BEPrPjkDGcGHsXisHbo2yT5H3juHYdY2eBWQRarz\n5NfYJL+G78b1NEtJQQnsqlIVyfsf0++VkRyytOLk+tV437hBrKMDDzt2pts3PwLaSUuH/pyPetcO\nzOLiyPT2xnXsBHx79DZ4LrVazeMFv9MrV/AFSI2P15kE9oQdYHJgHw3ffgdALz1nSTMzM6PGj7+y\n4sP38D9/Fne1msMurtweNITeM94ssfPUfH0mB86F6iwEkgScHTCYAfUblNh5BKEsiQD8nDMxMaFS\nJcMr91R0KSnJOO4OIlqj4RLa2XxKIB5IQbuggQowk0pxaNveqDrzW5MX4K78Gi7VqkHUbXoDK4Ce\naIe7Ac5ZWXF1+ky6+zZ95jkkEgn9fpjLzUlTWR20HamVNa3GjMPOTpuDrPPrM1FOmUZMTDQNKjnQ\nMtf96V1zPqL3wvlPczdfv0bYqROc+WEuzQfqh9QI+VV8s4eTdd4nGLwnCmCaXLYzVGs3b0nNnfs4\nc2Afj+/fpXFALxoZuF1QHHVatubG0pWs/OsPrMOvo7CzQ9MtgH7T3yjR8whCWRIBWCg3J5cuZmjE\ndYOBJBDon/3zJYmEqzfC0YZLXUqlEolEwr2IcK4s+I07588avCcZBbQ9G0q4jS3HLC1pl5HBBLTJ\nS44BV+rI8J+/kO6FyJtds34DaubT+zI1NcXTs4pOWVxsLFU2rtdZOAG0M4av/L0YDARgc0srMszM\nIM9Ep8pAJFDDwLnTi5FbuqikUikt/QNK9Ry1mjanlpFrTgvC80AE4JdMUmICp5cuwiQ2BmrUpM3Y\nieU2aUt6Lyr/XlyunxupVNxasojUcZOwye5NRpwJ4ebcn7ALO0esSoVNWipjU1O1+a+BvoBr9vFR\nQDAwEmibmsIeqZTfGzSiakYaWfYOKLp2Y8o77+e70EJJOb97J0PzzFB+wll+jdTU1Jz394R3jZrs\nadEKn+Ou/V+2AAAgAElEQVRHdcpbAF86OTM7Pk7nGh72qEyNKdNKuOWCIJQGEYBfIleCjxA/6w1e\nuRWJKdrMURvWrqbJ4n9yno8tDvmZEO4E/otJVhaWbdrh06MXJ5YtxuRCGCpLSxx696dFj6e9WHWV\naigwPJSqzPPa/84ttm3fQufho4gKDyfxtUmMvnMbgI08TYphAoxHG3DvZL/HxoAvsAntL7xSrUZl\nZ0/7Q8eL/Z4Lw8GzCjFSKZ5q/SlgqbZ2+aao9Jr9MZvefJ3+t25ignZYfkvNWrT/+XfW7A7C8ugR\nTFNTSKvfAK+p06nbyq9034ggCCVCUhoLnhugEZlTClaaGWY0Gg37enVj1NlQvW3z27Zj2KadxcrS\ntPf7r2m04HeapGln3MZIJMyr5MD/EhNyhoMjzc0JnjqdXp9oVwBKSUkmpGdXXrmuu5LlBbT3OH1z\nlSUBB5csp12/gRz5/AOGzJuXs20rT4er89oCuKNNbZn7IaBjpqYkL1hk8L5radFoNOzq7c+4MyE6\n5Wpg+cgx9Pl1Qb7HJsTHEbJ4IWYPH6Co7EnrKdOolOcRrLO7dhAXuAGz+HgyqnlRd/JUWndpK7IW\nGUFkdzKeuFbGcXW1K/ADVQTgCqQ0f7EvnDxO7YG98TLQ+9oN3GnekkZffkvt5i0LXXfEhTAsB/am\naYpu2zOAPegGx3O2dmRsCaJ24yYA3Aw7x/Uv5lDv9ElsszIJtrOnflIieZd52FCvPu32H8XMzIwT\n44fTPygoZ9tmtItQ5KUG1qPtYRsKs4u8vOmy70iZTmKLOBNC5Kw36X/lMrZAlKkpO9p1IGDJ8mIt\nnHFowe/4fPcVddOfzhY/WNkT51UrqdyoaI8/vUxEUDGeuFbGMSYAl+4zCkKFkZ6UhK2B4AvaCUsD\nz4Rw5+0ZpKcXPqPozU0b9IIvaJfLynvGpinJ3NwSmPO6pk9Tev67BdPjoSQeOUWLoP3cbtgoZ31L\nDbDP3R27d2ZjZqYdrFY5O+vUKUU71JzXPjd3who0JL8VcTvcvsWBdi3Z9+O3RrzLklG7eUs67TnM\n7p/nsfqd2VxetprB6zcXK/impqZiteQvneAL0OXBfcK//764TRYEoZSIe8AvCZ9OXThasxYDbt7Q\n2/YAbdKLAfJrbF3xN12mTi9U3dJ8UhGC4WxThsqqVq1GYnw8pxbOQ1rdi1/NzJA6u+BevyFNJkym\ncq70mlVHj+Za4CbqZQ939wZWZb+HOmiD/j43dzLe/5hePr6k+3cEA18+FEC3mGgs5v7I8arVaDti\ntPFvuhjMzc3pOGZcidUXumMrfaJuG9xmf+YMaWlpIleyIFRAIgC/JCwtLVFMfJXr33xJ3bSnmZFC\ngCeL5FkC6vv3DB3+TI6du3Fn2RKqKxQ65Rq0E4ZyC7O2wbu//oDx/cibXB0/ipHXruQsq3XJ2oYr\n7TvpBF+Alj17suHdD7ixZCHdo+6gAGxq12Fvn/6EajRorK1pOmYCLm7aBQj2tGlHy2PBeue8hnbp\nRklWFke3boIyCsAlzczGlnTA0Fx2pbn5c5egRRBeFiIAv0Q6vTaDs9W92TH7v9R+8IAsoB7QMHt7\nMmBWR3fANvbBfc78+hNWFy+gNjMjq007Or/9js6M3Wb+AQT2G8DowH9zJlypgXlA7pxSUWZmnBs3\ngT5Nck+v0rrww7eMvXZFp6xRWir3Fs4jcdQYHBx18wp3nv4GKeMmELg5EFMLC/z6D3rGLOKP2PzG\nNPrdisQku227AO/sfxVAchG+eACcCvyXx4EbsHwUS7pnFTzGjKdJV/8i1VVUrXr0Ym/9hgy/ellv\nW5ibG4lD+2H14AHplStjPmAIHV99rUzbJwiCYWISVgVSVpMbLh7cj9NrE/FNTNQpX9a0OQHb9+Tc\na42LjubciEGMzJXnNwtY0r0Hg1es00lzqFKpWDh+JD57diFFG9TaoM3pDBBpbU3t+X/Rqo/h+cqH\n2zRl6A394XEVsP7L7/Cf+npOWUHXKTExgfT0dDw8KufM7I5/9IiN/5lJnd07MUWbgjITCECb0P+w\nmRm3Jk2h9+ffGD0b/NCC32n+7ZfUzHh6B/q8gwMPvv2JFoNLdjH6gpzftQPVe7Pokb28YgbwvZsH\nkxPiqJJrZOKBmRmH35lNt//8r0zbV9GJiUXGE9fKOGISlmBQ4y7dePDtT6xu0YpTVtbsc3ZhWe++\nNP9rWU7wBQiZP5cReZLsmwND9+3h5OZAnXITExM6zXybhhYW9Ec769gT7Qzo/oBbi1b5Bt9n0QAY\nGRAf3r7NzgmjuOPXjKzWvhzs1Y2QDesAcHJxYeLfK3ncsjXt0d6H7o922F0CdFYo6LN4IcHL/zbq\nXOnp6ZgtX6oTfAF8ExNJWvQnZfTF9ul5e/ah2u6DrHr7HdaNnciGjz+jka2NTvAFqKxQYLF+DRkZ\nGWXaPkEQ9IkA/JJqMXgY/jv2Yn3qHN4nz9Jn2Wo8vHTvtVpevmRwwpSrRkPGKf0kFg392nKwUxe9\n+77XbGyoNHLMM9uT3szw40/7K3vSctjwZx4LoFAoCJ06gfE7t9MtPo4WGRkMPxtK1fdncWH/HkCb\nHrLt0hXMr9cAQ4PErioVWbt2FHgugMsnj9HWwIQ2gBqXLxEd/dCoekqSm0dlenzwCV1/+pUa3QJo\nkk/7fG9EcDPPs9eCIJQ9EYBfYhKJBA+Pyvk+B6t+RopKlaWlwfKAhX+zYvQ4Nlf3Zr+DI2tatCL8\nq+9pOeTZKwz5/O8D1jRopBO8L9ja8XjaTGxs7Ti6bjX7v/+aE5s3ojYwo/nE+jUMOXdGr7zJ48dE\nr1qe89rF3YP6nbvk+4tvZuRCBjaOTiSaGU6kmWxtXe5rMju5uvGgkuFHm+7b2eHs7lHGLRIEIS8x\nCUvIl6RzN5L27CLvx3ionR01h400eIyNjQ19fpmHQqEgPT2Nxnb2Rt1Treztjc2Wnaz5cz7mEddR\n2lWiyvCR1HRwZE9vfwaeP0slIFYiYdU/i2k6bxHuVarmHK+ICMc+n7ot7t7VeW3e2IdHgIuBfe8Y\nuXxfPZ+m7G7ekron9UcC7vm1waecV6hydXXlVLsOtN+5XWcUQwNcb9+Rvu7u5dU0QRCyiQAs5KvT\npCmsCztH180bqZ2ZiQY4UcmBu2/+hy6NGj/zWDMzM8zMCpdcwr6SAz3e+1CnbOewAYw/fzbntatG\nw5hjx1j24bv0XbY6p1zq6ZnvozhZrq46ry0dHNkAvIbuENBBwCxL955pfiQSCdLBQ/nx6mVqJSWh\nBhoBJ3yb0WzO10bVUdr8vvuZFRlpdD5yhOpKJVGmpuxp3ZY23/1c3k0TBAERgIVnkEqlDPr9Ty6O\nHM3pvXvQmJtRf/houpTAwg3GiAy/js+pE3rlEsDrxHHi4+NwctJmxfIbM4HNK/5hZJ5HmSItLbEf\nojsjOeHSBcagXcTBDG0QzkL7OFZCUoJRbTv292IafzWH0Y8fA9qeZaCTMzW/+JbK3t6FeJelx8Xd\ng7H79rF3/RaOXbmIU/2G9OvqX6yc34IglBwRgIUCNW7bgcZt82ZnLn1JsbE0yGe2rkvyY5KTk3MC\nsJWVFTV/W8DyTz+gVWgITgoFx2rWQjF2Il0G695/tvGuQRZg6EGhMBdXA6W60tPTkfw5jybZwRe0\nXwqGxMex8vdfqN96nbFvsdRJJBKadu0GXbuVd1MEQchDBGChwqrXrDkhNWtRxcBsXnn9BnSoWk2n\nrKZvM2psDuL6xQvcio+jhV9bLA1MFmvdfxDbFi5gQp6VoWJNTDDpN6DAdoXs3EavyJsGtzmeP0NG\nRobB8wqCIOQmZkELFZalpSWZI8cQlSfDVYSNDWZjJxpMsSiRSJA18aF55675BkETExMa/7qAf9p3\n4qqFBYlAUJWq7JrxFp2mvG7wmNykJqZ6j1o9oZZKxRCvIAhGET1goULr+tYsjrm4cXTzv1jERJPh\nWQWvKZNp17V3seqtLqtH9cBtXL8QRvi9uzRq34EWdvnNo9bVqndf9tSpy5Dw63rbElu0yjclpiAI\nQm4iFWUFIlK8GaciXKeQf9dj//Fs2sc9ArQpMzfWrUfNxf/gVa9+ubYtt4pwrZ4H4joZT1wr4xiT\nilL0gAWjRF66QPiiP7G4EYHSvhJmPXvTYeyEl3a4teXQV7jVuDGrli/DLCEOhXdNWk99nUoOjgb3\nz8rKYufqYKIvKzG1VdB9vC/Vvasa3NcYarWaQztPcv9aMi5eVnQf3E6seiQIzxnRA65AKuo3y/DQ\n06RNnYj/3aicshgTE4KmvE7vz8v+mdfSvE5qtZrMzEwsLS1L7MtFQnwCv4zbi+PpV7DADg0aYl2O\n0OaTDHqMaFvo+qIfxvLHawexOdUXG7U76cST1HQ7E39vTo261XX2dXW14+HDRAIX7+f2YTXqTBMc\nG2UyaGYbXFydS+T9vQiK8zuVmZnJzlVHiY9UYFdZQp/x7bGxsSnhFlYcFfVzqqIxpgcsAnAFUlF/\nsfdMHMPoHVv1yoOdnHHYdwSPPLORS1tpXKfMzEz2zfkQu0MHsElKIqFGTWzHjMevgBzWxpg/awus\nGI0kT2bth9W28e7hFtja2haqvh8mbcJ6+1i9+hI7reSDDbqzuF1cbJk9bAkmG0dggfY8GjREN17L\nzNV+uLkbygemS6PRcGDrca4f0l5zWRd7uvRr80KNfhT1d+pWRBRLp53F6cIgzLFBSSaxdbYw/Lda\nNGpetxRaWv4q6udURSNWQxJKhNWlCwbL28fHcXHb5jJuTenYOWMqo5f8xZAbEfR8FMvIkFPUff9/\nnFq3uuCDCxBz2kovWAK4RPVg91r9VJbPkpiYQPKJqgbrU55qTIRc95GtI3tCUG71zwm+ABIkuF8c\nwabf9JOc5KVWq/lpxnrOvtYUzaphaFYN48xUH36asd5gTu78aDQaju8/w+q5u9m76SgqVX7zyJ8v\n6z87i8eFMZij7fGaYkHl8FfY9Nm1Ml8RS3j+iAAsFEiVz6zeDMDU1q5sG1MKIi6E0Xr/XvIurSBL\nSyV5zUqDx8Q8uE/Qpx9yaMwr7J0xlXP79uRbvzrL8J+ZCWYoMgsXiJKTk5EmOxncZpHhzqMY3Uxe\nYbsfYK/w1ttXgoSEiwU/q7xrQzD8OxAb9dPc0TZqD/h3IHv+PWpUmx/FxvH5K+sIHleTxK+HEvZa\nSz7vs5Wb8ttGHV9RxcfHkXzS8H18yZlmXLukP0teEHIr8iQsmUz2PtAPbTa/eXK5/J8Sa5VQoaT5\ntUN9Xa73bW1nzVr4DS14qcCKLvLEUUalphjcZhV5E41GozPcevvqFaImj2VsRHhOPzR82xb2//dd\nur09S+f44xvWUDV9EXb8ykPqouBN7GgEQKzzUQYPbFqotnp6VkEi2wcXffW2pdUIwadFa50yiXn+\nvTCpecHB/8ahDKwNLFthjQsRh9LhGYtcBa05xtk1SVw/d4dWme/k9NqtccH67DhWv7+CjwK98q+g\ngktPT8ck0/AXUDOFA4+Tyn5JSuH5UqQesEwm6wy0kcvlbYHOQM0SbJNQwbT/eA6L23UgLvu1Ggiq\n7InN+x+X+7J7JaGSV00e5LMKksLJWe9e57Wfv2dQruALUCcjHeclC0lMiM8p2/3VZ7R4eyYfPQzl\nLQ7zDYvwox+POUGK2T2qj7pL5SqFWxbQxMSEZmMteWwdrlOeYnYP2fAsvf+PgHFNeGR/Wq8eJZl4\nti14iFTzjBitfsa2oNVHCZtdC5uTfXHObGJwyFwS0oIrF57fdYk9Patg0jDC4La02qdo2qpJGbdI\neN4UdQg6ALgok8k2A9sA/Rk6wgvDvpID/f/dypH5f7HutemsffcDvPceofmAwfkeo9FouHs3itjY\n2DJsadG07NGT3c1b6pWnAZnde+iVW50/Z7CertEPCf13PQCx0Q+psno5VRS6qysN5RZ27m/jM/cC\nkz7uW6T29pvQiRY/R5LSZR0xss087rCe+t+cY9R/A/T2lTWoSZ2ZUcTZPl1RKlUaTUqvfxj+hn+B\n56rqZ0Im+qMDmaRQ3S//AbQza5KwT69DFilYYnhpRsvMykTffVRgGyoqiURCmylOJDjo/j48tg7H\nd4IUc3PzcmqZ8Lwo6hC0K1AN6Iu297sVqFdSjRIqHhMTE9oPGwHDRhS475ktgST+OZ+6ly8SZ25O\naEs/6n/yOd71G5RBSwtPIpHQ+OffWfbOW3Q9E0JVpZLjjo7Ie/ejT57lEQEwMfy9VQVITbV/Uuc3\nBzIiny8fTcwf0mFY+2K12X9wG/zz//6jY+TbAVzzD+fYhnWoM01o3s6OLn1HGDWLud/YTny3fxXS\nveMwy17sUUE6qd1X0WeMoeUstM88p9/UZhWzxpU7HDO4X5LnCVp0eL57if6D/bB3DOP46rWk3TPH\n0k2B3xBnOvfrUt5NE54DRQ3Aj4CrcrlcCVyXyWQZMpnMRS6X5/t11tX1+Z+sUxae9+t04fBh3GbP\nomdc9oB1RgYd9u9hfcwDGp48ibW1dYmcp6Svk6trS5qdOEbo/v1cuHGDpj160D6fZQXV7duBgQUi\n9nt50Wf6FGxtbXHycCYTw+sTS62tyvT/2dXVDtcuzejQpVmRjv9h+0TWzNvDraPaMee6HU0ZOWMS\nZmZ5p61paTQazF0yIRakSLHCkTjCcaZOzj5p0kc0GJdOjRqepKamYm1tjTSf2wBlpaj/J31eaU+f\nV0CpVBIUeITE2FSUijQqe7oXfDDa4zYvP8jdcxmY2SsZ8Fprqlb3LFJbysrz/jlVURTpOWCZTNYH\neEsulwfIZDJP4DBQVy6X51eZeA7YCC/C83V7Xp/C6I36y/FlApvmfEm36W8W+xzlfZ2i70ZxdsIo\nRlwI48kg46lKDjz8eA5tx00CtBN0Qru0YfBN3VWTNMDyUePoPXdembS1vK7VXx9vJWPhUEzRzqC/\nzVFSiUZjkY6nrwV1e5uiUqiRb1GjuO+AiWsSNXopGfder3IJxMW9TqFHLrH109s4XO6JBZWIdQ7G\nc1gUUz7r98yRhqSkJH4Zvwv748OwpBIaNMS4HqTdHCUBw9oUuT2lqbz//p4XpfYcsFwu3wGck8lk\np9EOP09/RvAVXiKW9+8ZLLcAJHfulG1jSol71Wp02BzEhg8+Zd0rI1k5+TU0m3bkBF/Qrk9s/d5H\n7HFz58kfxmNgSavWtP3k83Jpd1ma8HFPFENWE2envffsbFID11apzNrny4fbepKVpuLeNx1wvTgM\nz7juuF8bSsIvvVn0yfZybnnhpaamsuW9B3hcHoElDkiQ4BbXkeS/erBp8YFnHrvqq8O4HJ+EJZWA\n7Ge0Y7sS/F0GKSmGZ+YLL44iP4Ykl8vfK8mGCC+GDFfDC9orAJVH4Wb8VmS2trYE5HnkKK/mg4YS\n06Ydq/9ejNnjJEwaNKL3iNH5Dt2+SMzNzZn1x1BuyCM5G7wenxoutO06EIlEQlZWFuGBprip3HSO\nscCe+9tcOTcgjNBtUahSzHCpL6HfuE4VeoWpnSuP4XpDf0KdldqF67sUMCX/Y2NOWeJmoB/keqcn\nu9dtY8hk/Yl1wotDLMYglCi3EaO4fGAfDVN0h6i21qqF3+Sp5dSq8uPmUZmA9z8u72aUm1qyGtSS\n1dApe/jwAUTWMLi/zQMfFg3fTqOUyQDcJY2vNq3lreXdcHYxnICkvKU90uQMteelSHj2l61nJWnJ\nSlMWu21CxSYyYQklyte/BxGffs6/9epzF7hqZsbK1m1wn7sAOyPX2xUqpotnrrLog5388Z/dbF15\nEEWeR6yM5eTkhNrFcJKKBCKolvL00S9zrHEPncjab4zLulXSVCoV506HcfH85XxTS1b3tSdF+sDg\nNtuaGc+s36lRpsHyR47Had/fp3CNFZ47IgALJa7t+Mm03X+Ua1t2Eb/7EAFbdyFrXTEnlAjGWTN3\nD1uGWqJYPBzNqqFE/LczX4/cSFpaWqHrsrW1w7lzNGp0M3lo0BDPTSqhm95RgoSY0wWnzSxpezee\n4IvuewnqW5VtvVz4otdOTh4I09uvc28/0jtsR41ubuw4l5N0nOD9zHP0fENGrFeQTlmaaTSeI25T\nzatKsd+DULGJ1ZAqEDG70DjiOhkvLiaGTfNDUKWa4ulrTq8RHTA1Ldydp9uRUfwdkIhbku7SiWpU\nWM1cz+RPCp9QJDU1lflvBJF5yBfHFB+SrK7xoMo2vCNexRr9ZRIf1trE5ycKThxSVHl/py6eucbm\n0Rqc41vp7BftuZvXttfAs2plnfLHjx+zfM5Bok9Yo041pVKDDDpO8cSvW8G92Mjrdwj6K4zkCCtM\n7ZTIelrRZ1THCrvalPj7M44xs6DFPWBBeAGoVCoObD9B3N0UGrbxonGz+mxafIiL37vjkqhNnhK+\nPIkzget5Z3nfQi2BeHj9JVyT9JNuSDEh+nTRJpTZ2Njw7tKhRFy7ycWQQLo28cbRZTAL/a9gHddB\nb38XX8NDtaXlyMoInONH6pW73Q8gaMlaJn+q+6XD3t6emT8PQKPRoNFoCvUoVY261Zn+Y/WCdxRe\nOCIAC8JzTn7xBqtnXcLufC+scWab1VU2tVtJRpgXVROf9uAsqYT50cms/m4dU78wvteqVmIwlzOA\nRlm8XlrtejWpXe9pKnmvsWeIXRCFbZZ2jWkNGmJrbWXsmw2LdZ7CynpkYXBalQQJmbH5z8iWSCQV\ntucqVDwiAAvCcyA1NZXAPw4Tc84EiamG6u2k1K1nzoPVK9izpza1Ur7O2dchvT6qfbW5SiB5F8uT\nIiX6VOFyFDfv5c3WRZdxTNMNgho0OPsUv2f64G40m345TVyYJRJTUzI7rkNj5opJhi32tbOYOq0F\nntXK9hE2y8qZGLo5p0aNjWdWmbbFWCkpKZw8eA47B2tatW8mvgg8B0QAFoQKLjU1le9Hbsfl5ASs\nsv9ko4JSOGIylCqqh7jxs94xJphhggUaNHq9V3VW4T6YGzerz+FhG0lb4Ya1Wvuctxo1MY3XMuNt\nvyK+K624R/H8MTYUj8ujcu78qlHzqO1SPljfucAFDVJSUlj38yFiQs1AI8HZN5NX/tsBB0fDC0AY\ny39iA9YEHcEluqNOeaz3dkZMKd57fkKpVBK0Npjoq5lYOKrpPbE1zs7697+NsfbXvVxZbo5jVCcy\npYns8tlOv09q0axdxcy/LmiJACy8kFQqFUG7VpGRdQuJiQqN0oGWzfvj5VWrvJtmtGPLl5EeuB7l\nlXBqJdYmigwcmYkGDXK24qb6lvtEURfDs2WlmKBCgSm6Qcy5CPdTZ3w/mB1NDxG+LwNVmhTHhlm8\nPb0dTs7FezZ30/zjuF3WXVNaipRKx0ewY9VeBk3Mf+JVZmYmP47ZgcvxiVTCBADFKQ0/hy7j3Q09\nC3WfO6869WvS/ZfzHPhtLVnnaqExUWLd8jZD3q2Fi2vRgmRuj2Lj+G3ifhxOD8WSSmSg4tfVu+jx\ntS3tehYuZ/fejce4/WMzPDK9AbBQ28G5UWx6J5C6e6sX6zoIpUsEYOGFtHrd93T0l2Bl9eTDR8OJ\n4CXA5OciCB+c/xt+335B9cwnwTKae5ziJ+KJpgV16YMllbDChbucohr6vTKVxx2yYpIwze61atAQ\nIwtk0hu+hW6PRCKh76guMEq3/HZkFAdWXkSVLqV6C1v8B7Yt1ASkx3ILLA08DWmBLQ/DnrHgMLB9\n+REcjo9Cmh18QXuP1vXMWDb/FciY//Yyuh2GtPH3xa+bDw8e3MfExBR390bFqi+3VZ8H4356Us7o\nhBQTPO72YffXG2jVTVGobGlhmx9jlx18c3O90Zfty7YyYqb+kppCxSCeAxZeOGEXQqjfOAMrK92e\nX5sOLoSc2VJOrTKeQqFAum5VruCrVQUlvqwgk8c5uYMrUZVEIvXW7E2yvcLAT+rSalEYGb3Xk9pp\nI2ZT1vD6Ol+8auW9M1w0W/8+zN8940j7/RWyFg/jwuvN+XLkOtLT042uw8Q6/yBrYvXsTFAPz2kw\nR391LRNMeXTRxMARhSeRSPD0rIK7u3ErGxlDo9EQe8rG4MQ2x2s92b/V8PKN+VHEGQ7WppiTFlOk\nJgplRPSAhRfO7Tth+HWqZHCbxCShjFtTeHfu3KKh/JrBbZ2JYD1ROmUNeQU529CgRiONo1p7e/zG\nONNloB+urnZ07GfcM5sZGRnExETj4uJa4LKRsTGPCP3JEo+Ep48MWWvcsDg4idU/bDD62eB6PWy4\nuOMh1irdSVbxtmE08TFlwawdZMaaYVUli56Tm+Bd++njOlJLlcGJUtpt6ny2lD+1Wo0m0/AXBDOs\nSU0q3C0Cq6qZEKpfnsFjqtYp3IQ7oWyJHrDwwpFghlpt+AP4Xvhj5k7aw4ofd5KSYnwygdu3b7Iz\naC2nTh3ONyVhSXFwcCLawdFwO7BFiu5arFJMqM9AqtOatu9lMPvf3nQZ2Nro86lUKhbP2c43nU7w\ndxsV33YI4Y/ZW56ZanL3qhDcYrrqlZtgysMTxg+fdh/SjviAJZwxn08cEdphcqcj4H+QsDnVYMUI\nLHYNQb1kJP8MfUDokUs5x/r2dSfJIkKvzlSTB9QPqLjr1ZqYmFCpkeFRglj3Q3Tu36JQ9XUc702C\nc4heeWKzQHqNaF+kNgplQwRg4YXTxq8PISf0x96yMpXEbmuF+fYhJH4/hO8H7SM2Ou6ZdSmVSlav\n/Z7I+0to3u4edm5HWLXuQ25Gykur+Tg7OxPZroPB3t0W6qHBlGvoDqWrUJLacQuj3h5f6PMt/Xwn\nyQv64R7ZH1eFDx5RfclaOpSF7+e/NKA6S4I0n48PVaZxHyt3Iu/x5aDNVNo7juZZM1CYJXKl3teM\n2WqP8npVnON1v0S43vdn76+3c1636doM99dOE2d7LqcswfoyNhP24D9QN2tXReP/eg0eVT6sU5Zi\ndo+aox7h7FK4SV7N2jWkw48pJLRZw4NKh7jvHkR6/xW8vqT9S7Hy1vNMpKKsQESKN+MYc52Cg7eT\nmP1eBZ8AACAASURBVBZMSz9XpFIpd28lsflLS1wPfoYJ2g8lDRpMJq1l2rf5D5du2ryQFu0TsbDQ\n/SDbs+MRo175stQWj4+Ljubo65PpcfI41ZRK7iLlb9qRzAps8CKeGzzkPBqJEkeZEq8uEsbM9sfK\nykqnHkPXSqFQsHNtMAmRCixdVFxcakqVO0P02hDtto+3jtTByUl/pvOV83I2DbTSezYYQD1qDTPn\nFjwE/cWgQJyP6X5hUKEgrtc8LIOGYa/3FDNE25xgxik33NyeLmV47VI4JzdHoFFDy341aNS0XoHn\nzqs8/vaunA/nwFI5yZGWmDsoadDXhl7D9bOAFUZCQjwWFpYF3kIoDvE5ZRyRilJ4aXXo0JfY2Fac\nDN7J8S0HMQ2yxTxLRgYJ2KD98JYgIfbss9eZzVLfwsJCf43j5q2tOHX6MG38uhSpfRqNhqysLMzN\nzQ0mTHB2d6f/xm2c3b+X4MuXOH4iCccD32KT/UiRE7VwpCaP/f/h/VX6wTM/dyLvsfi1UzieH4wF\ndiSRziP+xZJwnKmjs69VTANuXgvHqa1+AG7gK2Pv4H9JX+mJFU+Hy2PqbGbCzILzH58PuYhJiH4v\n1QQz0s57Yobh+6AaqVLvS0+9RnWo16iOwf0rsga+dWjwW8m229GxYi7ZKBgmArDwwnJycka56wRv\n7dhOY6UCNbCZ+QTzBQ5o15t9VrIgjUaDiYnhrEfOLjbcvGZ4Sb1n0Wg0bPzjAFc2K8i8Z4uZWyq1\nemsY9kZnglYfI+ayElN7Jd3GNMa7VnWa+weAfwAdp2Uy/z+rSNhbD8ek5jy2uo60bShTfu5cqPOv\nmxOKx/mnvU4zrPBhLBdZqxeA053CqV6rWr51vfnTEDY12M/NA0qUqSY41Mvg1debU9XbM+e9KhQK\nVCoVezYeIyNFQaf+zfDwdCcq/CF2WS0N1muR7kpao2AcL+k/Lmb9f/bOOzqq6+rbzzSNRr031CVU\nQCAhRJNAoopuXACDe7cTJ3Ycv3njOM1xnLyJy2c7cUni2AGMwfReBQgkJAQI0VVAQhXUuzTSaGbu\n/f6QkRjPqCKaM89aXsuce8+ZM3eu7r5nn71/e2wZLi4DT6MyY+ZuxGyAzfxgOfyPT3hk/VquZwJL\ngQcpR8GvSWEO1njhEt1zvVaJRIJeazqYJze7lvDQ+QOe09qPkrj2bhwu16N+q6H6YgMvrfqQqMr/\nxQJrdIis+PYoE35TwtxHO4NolEolP/9sMSVFZZzN2EXwCF/CR/e98hUEgQPb0riS3kKHvpXiFAmm\ntJHcGUUNebgQ2tkPPXbTruDm3rMohEQi4cHnZsJzhu0dHR2seGcfZYcsaKtQ0KipwEYTQBCz+MfH\nqfgsP8nYeX6kWaTg2zHDaFxFQDVTX/Hj0BvJuFZORYIEAYFq/5089L/BJueiVqtZ9c4BKtIs0atl\nOIxoZ8ZLgURNCu/zGpkxc6cwG2AzP1gkhw9hSgNoAZUk8RktMcG89gtjA3Aj3sMmUXTlGP6Bdl1t\nHRodpVdsiZ8QOqD5dHR0kLdJgvv3Um4sccCpMg6BzrxXCRLcaqeQ/v92MGVRMzY23S8Bvv7e+Pr3\nnsfb3t7O4ZRtqNVVpH7RxrDMn2IluiEFnDhLLtsIY5FBHxVOFNntwLLJEbXjJWynXeal9wcnZPHJ\na9uRb3gEjxvKGdSSTzEp+NcmUPd5BZ9u+gpZhz8eqA1yeevl+YxZbk38/Bj8RpSy/6tv0dRYYOnR\nTrCLnuMbOsjaf4U5T43Fw6szN1cURT54ZjuOh57B7booRzHsOJOC7Ms8RsUM7HcyY+Z2YTbAZu4q\nzp47QWlpLna2rsTFJSKTDV5QQd7aarJdAjhOPM8z377SZ7BK3KTZpKVD8r5jyC2a0enkyCV+LHno\nuV77maK8/BrSK6ZXcO6MpoY8vOmuXuRaOpt963bw0LOJA/iMUpKS/07CTCf2rWjC/+R7KOguZu9B\n5/7sjatdAHXQcX6zIZ6S/PMEhPrh4dn3Pq4prlwqonXfKJy/V0vImWAqOUsZJ2jSlyIvD0CKguP8\nDWeGI8cSDS3UkcMDUZ0BXH4BPjz/Rx/q6+r56Mkk7I8vwRI7OhD5fM0hJv/hCrMemkTqvhMoj8wz\nUMQCcC6P5+C/15oNsJm7FrMBNnNX0NraysYt7xIxBsbH29PYWMrajUeYNO5JggIH50ZsCwuHzBNG\n7WVyORNffrTfkaJxsbOB2ej1eqRS6aCrzDg5OaFzvgCVo42ONVGKLYZF3mUo0Gp6l2P8PilHv2HO\nws4VdvVxPxxvML7X8SCSHLZ2GeAmywJGPSFhmPcwhnmb1pXuL1kpOTg3LTV5TIIMGQpG0O0619BC\nHtsJ436kyMjVbefounxGRHUbzW/eScHteLdsowQJ7lUzSP3rVuLmqik81YCN3vS8WwpUJtvNmLkb\nMOcBm7kr2LXnXyQusMXH9zuJRXsVifPcSD/+9aCFL0b++BV2BBoG8nQAO2ckMjZx4O5VmUx2UyXe\nbG3tcIovR8BQJEREpJZL2GMY8FTtnMrUB/ovzN/e3o7SqjuvWdD27D0Q/C5TP2Yr6tnrGfdxAYt/\nZCyq0Rs1NTVcuVKATmcoF+kV6EqL7Krp+dGAB4YBVEpscCSQZq4BICKgazZM+ao6rjIp2+hcNIf9\nG9KxsBPRY1o0RG7Xs5iIGTN3GvMK2MwdR6fTIVWUI5MZ13yNHKsk63QGY6MnDXhc7+DhCCvX8s1n\nH2N54QJ6lYqOuMksfP2NO1Yr9fm/zuaTlhXojozDUR1Bo+VlWkcdwL7SAUq6z2u1KMPvsWt4eI7p\n99g6nQ7ZDX/RdiNLETOMyxE2y0tZ/uexTJ5lOgq5N8rLKln9m2M0p/kia3aB0EOMftyCB56bCsCk\naWNJitmCzXHD/F4t7bRSZdKQejOBS+xETQ2OBOIcbihyInSYXifIUaJRa1nwVBzvrtyNZ4nhvnYb\ndWQXH2fDv2HRE9P7LG1oxsztxmyAzdxx2tvbUVqaXuW6uFpxvqh80GP7hobh+/Hng+4/1NjY2PDG\nyiXknLvExcyNxI3yJmrc45QWXWXXP9fSnG+Bwk5P5Hw7Eh8cWJS1jY0N6pbugK25LylZceIDvM7/\nvEu1SkMLkoV7iZv5cE/D9IggCPzzR6m4HX8aa0BNLbU5TWS+pcfaPp3EJbFIJBKe+CCGVa+vxPLU\ndGx03lxTpFOqTMamzRNMeNTV1NBMORKk2EVXs/BpQ++E06h2KDbuV+2cykP3R2Nra8ecdxzY+/Ym\nnPPnokBFKWnUcYUJJe9R9mYrv1+1kRf+PY6AEF/jgcyYuUOYlbDuIv5bFWZEUWT95t8zLdG4iPqp\nE1WMHfUabm7d1Wj+W69Tfzhz9hjVDbuIjO4UZGiob2PdX5oo3j0cqaDCdmwlf1n/0y6JQr1ez+Yv\nD1KaIiBoJThHaVn8kwRsbY3Trw5uS+P0C9EoRSey2YgN7rgxigYKqXQ+xPvpj+Dg2PkbiqLI8SOn\nKLtSQ0zCCPyDfPn8jW3ovnq4S4nsOhmyD3DzsyEwzpYlv4zF1c1QivFi1mU2vlCNa0l3Wb1WxTWc\nXjrMs79d2NVWW1vNL2I30FKvIYonccDPYJymGat5Y63hKvk65nuq/5ivVf8wK2GZuSeQSCR4e8Zy\nJf8YgcHdVYyamtppaRhmYHzN9E5U5CTyLtmSeiCJqwWFtOX4oj+2iGh1p/HSpDXx9V928cxvFyCK\nIu+9uB7l9kew/C5hqzVZz3upq/ifbxOxs7MzGPtaXjNWohsX2UgYi1DQGeBkjQtetTH889WV/HJV\nZ4CVRCJh4tQYmNrd/+m3ZvNhxUrEQ1NwaA+lnUYaRu3il+9NY2R0z4pQI6OHY/mNgn3/WkNzgQqF\nvY6IeVbMfXihwXlHtp8msH4JbdQZGV+AtozhlJdfw9PTa8DX1YyZW4HZAJu5K4iLnUPGCQWH96cj\nlTUjCJZYWw5n8YOP3emp3XOEhkRgb+vKP94ox61+ikHtJCV2FO9W0fHLDo4mZSLduRDlDdnSUmS4\nZT7Jpk/W8/Sbhi5wtyBrrlGBDIsu43sdCRI6UqPIz71CcFigyXlZWlryqxUPc+bkRXKObcTBw5JZ\nD85FLu/7MRQU6s+PP/Dv9Ry9VqCDFiwx9qQAyFodaGpsxtPT5GEzZm47ZgNs5q5h4vgZTBzfuzCG\nmf6Rd7YA2/rxJo9JrnpTW1tDfkoTNoInlVygmau4E4ktHkiRUnPG+NEw8/5YDv5jNVZnTQeG2baG\nkH/xYI8G+DpR40YSNc64iMPNMv2hcZz9OJeq6nacMc63FkacJyi48/6qq6vlWlkF/oF+2NiYkmsx\nY+bWYzbAZszcIdra2tBqO7Czs+/75AESPNKfw/a5qBqNo8dFz2s4OcXS1FJHPt8wjPH4M5WrnKSI\nZEayFKmJKnYymYyXPpvKB4knoTXO6Hij/VlGxvTsShZFkcO7M8g/2oRErmfSQ0GMjLo5kYz29nbK\nykpxcXHB2dmZiOfVpL7bTq3OsLhEgyqHsU9ZotFo+Psr26g/7IuyJgCN92mGzavnV58t6zpXr9ez\nc/URilO1iMCw8RLue2pqr1HUbW1tnM/KxtnNkaDhvb+AmDFzHbMBNmPmNpN5/CRr305DcikcpeiA\nzeha4l/yJC6x/ylHfTHMxwvrqccQtk0wqNurpY1hic1YWFhQlatnNI92HfNjMh2ouchGpsWZziEO\nHO5H7E9yqHivBpXg0tWuR4vNzFx8/Bab7KfT6Xj/hQ3I9izEWt/pA97y9TlO/Wg3T/xy3oC/nyiK\nfP3uHgq2WiIrCEXnko9DfAnPv5eIT8Qltv1tG+UFlihEa9wj5MQ+4cXUBQm8//wmLLc9jsd11ayy\nANT/auFTh20s/59ZCILAey+sx2LHMizp3AMv267mr8lf88uVi00a4TUf7ifvWwVWhePQWFYhH7+N\nZX+KIjDUeB/ajJkbMUdB30WYowv7x0CukyiKnDt/ig5NO5GR4+94LujGzZ9z9IMOQi7/xqC9zjWD\nhV9KiJxoqlTC4GhpaWHlb5Kp2jMMy/og2j1zcJtdwYt/XsCp9HMkL/fHTmtsJC7YfMHHeQ+ZLOZe\nWnyVtD1nyT5eAnnByEr90btew3VaLc//aS6WlsbKWwDrPt1H+R/mGeg+A9RZneOBLRpGDrCG79qP\n9nPtLwkGLwECAi1zVvDGqiUm+5QWX+WrmfW4mvAK1ITs4I1DsRzalsGFlydihWEktpY2hr2zh8Uv\nzDJo37U6hew3IrHuMNTnrohaxe92L+zX/va9hvk51T9ueRR0aGioG3AKmJGXl3fpZsYyY2aoOXsu\ng5xLOwiLkGNjK2P7nl04O0xkWoLpVJRbzfETh6m4dAm/yx8ZHXOqnsjhlWuH1ADb2Njw1jePcPHi\nFcoKCwkKC8PefiIApZersNMmmOxnrzQWRBFFkc9+uZWarcNxaViKA83Uhu1gwkdFTJ0zCWtr617n\nUnpUxApj6U8n9WiObV43IAMsiiKXtgu43mB8AaRI0aWMI+f8ZcJHGbvCL50vxLbR2HUOIFx1p76+\nnoIUtZHxhc6yjWUZArxg2H5+awt2HcbFMezPLCRpUxpzHzZ9jc2YgZuQogwNDVUA/wRMK96bMXMH\nqampobBsC9NnO+M1zB5nFxvip7tiaXuK06fT78icrpafRqxzNYg6vhF1qdJk+83i5uZK9IQo7O27\no4MjY4dTZ3vG5PnldcX87eXtNDd3r3LWf5aEZsV9uDZMQoIES+wYlvsoGe/r+6UqJmh7PqeqrJ6v\n393Lus/20tzc1OdYbW1taMtN75s7qiPIPpVv8ljo6ECa7S+aPCb1rsTR0RFJL09EU8c0VaZ/MxWO\n1Jb0XOrSjBm4OS3o94DPgcHLFJkx8x0ajYY9+9aydcf/Y8v2j8k4nnxT46Ud28bEOFej9qDhDhQU\n3RkDLJXqUDq3okdn8riFU4fJdlEUST90gm2r91NbU2vynIEyPDwIWfwJIw3lBoqxEl2p2OrPm4u/\n4KNn9/DB8iTS/lVtMr3HpWABe9ak9fl5ThFaRIy3u5q4ytX9DjS/v4Sqt+7n3YRTHN5mXEDjRlQq\nFTL3RpPHGlQ5hEeZDoLy9vXCZloewvfkuDS0MPx+LRYWFoRMs6VVUmnUV0MzPrHG++IqL43Jz1JL\nqvAMMUdXm+mdQbmgQ0NDnwKq8/Ly9oeGhv4KTAi8fg9XV9OFzc0Y8t94nVpbW1m99o/Ez7TF0lIB\n6Cm/lsKuPfk89cTPTfbp7TppNBoKi87TrlPj4GhFVLSPwSrNUqW7I9fZxtqL8OXtrNywGu+SpwyO\nNVrkM+PJYUbzOpORy4qfnUFxMgGV4Mon7x4l6NFMfvbeQ/3Ws+7pu4ZPcWXvrg0osUWJPWpqUGJL\nBA9znE8YcfpFLE5fd0dvNzmGAksk7Yo+r+eLb8/hrZNrcTq5vEsPugM1l9lDtPZZoLP6k2fZfRx+\nZzeJSwTs7XuODh+91ILiPzRgKXa/FIiIKKefImHW4z32+903S3n/pXVU7vNAXuWH3u8yQQ+18JM/\nP4hUKmXZc7PJPbqK1q/nYi26AdBGA5IHt/Ds648b7elOf8GbA8cvY9fa7fIWEdHE7WXpM48hlf4w\n6938Nz6nbgWDCsIKDQ09Aojf/RcF5AGL8vLyjF8dOzEHYfWDH1JwQ0NDPSdOHsbG2p4JExJ6reu7\ndfsXTIhvRCYzfFgVXK7HwWop4WGjDNp7u045uWc4e3Etk6Y4olJZUF3VTFpKPjNmh2Nr2xkglJIk\nYfGDr93kNxw4TU2NbNv1ZzwcLTn8ng92F5aiFB0ocdpM1LMKnviFofCFRqPhncQkPHOWG7S3SWvw\nf/soD71gmDOdmXmEK8VHkcpbEPRK7GxCeeyR56mpaQFArVZjYWHRZUT+89Y+2j5bjB4tHbRiiX2X\ncTzPWkbR/bnZbDIoI3idZkUJcSvy+1XYob6uns2fpFF7ToFUIXLpUh6jSt9A9r11gB4drr/fwrKX\n5/Q4liiKfPn2Lkq222FZOgqNfQk28QU89940HJ0c+5xLQ0M9165V4Ovrg42NjcE9JYoiSVvSuJzc\nAoIE/8kWzFka3+M9vGNlCllfqyEnBL1tHbaTSnniz5Nx9zT2wPwQ+CE9p24l/QnCuuko6NDQ0GTg\nxT6CsMwGuB/cTTe2Tqdj556VaHVFSKQ6BL09EWGJjBjRd3m8Hbv+A7I8osc709LcTtYJNSNCFxE5\neqLJ8zdt+yNTppsO4sk4YsN9CwwjX3q6ToIg8O3G3zBzrotR+77d2cxdEMH5M3V4uy8jNCSiz+9x\nK6ipqeZw6loEsYqi3Abamm159uUf4+3tY3TutlWHKPyfmVhgfG0aY9fzq63dRQuOHU9ClKcSHNK9\nImxsaCM/2x1rXRRp/66iNdcBiVU7LrFNPPn2VFJ3n+Hyawld6TY3ks1mRvBg178rOIceDcPoNrQC\neupnfMlv1iwbVHWpt6cdwOXiAyaP2by2gSd+1bMBvk5LSwv5uVfw9PHA3d1twHO4zs3+7QmCQFlZ\nKba2tjg6Og16nHuBu+k5dTdj1oI2M2jWrn+PhFlSLC27VxNnTm1CFEVGjhzbY7/DR3biH1KGu0fn\nw9DRyZoZc6xJObiZwIAR2NoaP+wxsTc4GE6ePErUOOMC7FKpFIlEwsE9DYQEz7ljxhfAxcWVxQ+8\n0q9zmyu1Jo0vQEdddzqVKIoUlx5l+mzDPVp7BxVaIY/9r43Cq+Fh7AFqQVwn8lHZl7y57gFOrt6M\nx6mnDPqVkYEjAQZtHoymnNOcsf0EFztv5NY6POLaef33i0waX0EQOLw7g2u5TbgH2TD9vklGK0iH\nMA2YiIlqVOYzPt5QL1IURQRBMBrDxsaGqJjRJq/R7UQqleLra877NTMwbtoA5+XlTRuKiZi5e8jJ\nPc/wcLWB8QWIGuvMkQMHejXANXXnGBFtbDQmxbuSkrqd+fOMtZ2lojuC0Gy0X1ZY0EBQQP9vr4bG\nanxCTOeh2tnaM3v6r1CpjA303YrfaAeOycqw0RunuVj7dQf/qNVqrG3VgPGeacxEN9IVhoFbTRb5\n6PUVrFz5O/wX21Ni+yktJ3yQtdlTLxajs6nCWRsB34svcicS72XZvPDO9F5XvBXXqvjHSylYn5iH\nteBOpaSGtC+28cynE/ANGNZ13qyXQthw4gAupTO72nRokCQmExPXqUxVW1PH6rdTqM6wQWyXYR+h\nZsaP/Bk7ZeilLM2Yud2YV8C3kStX8lGrWwgLi7irE/QLCrIYH296H00iqe+1r1TeARgbQYVChiCq\nTfaZOWM5m7b+H7PmOaKw6Lwu1VWtFF125uEl3epQDQ31HE3bicpKgpNjMGOiDF3aY6MTOHEqk5gJ\nxntvHe3295TxBZicOJ7kyeuxOvKMgZpVg8MZEh7vXiEqlUo07aYNYk1VKxbq7rzeOucUQn+9kYRF\nzkCnl+Lc8DwUuBAUGEx7uw1ubtPZ/00mOe9n4dzcueVQwyWK3NcRdCaMD5bvw2+ajIeen2EyyGjV\nm2m4ZTzd9W+V6IIq80nWvPk1b6ztNsDhkcNZ8uVl9v/zWxpylMitdHjH6/nR6517zTqdjr89fQC3\n48/gdT3OswJ2XUjBcsUlRkaH9Os6iqLI+k8PULBPT0eDApsADZOfGsbE6ZH96m/GzK3i7rUCPyAu\nXb7AqdPr8QnUYW0tY8vO9bg4jmdawv13emomsVBYodFUoFQaKyEJogmR4BvQa02nXjQ1tWFtbVon\n2NbWjocX/45DyZvQ6isQBRmuLhNYurhbdejY8SQqa5OYEOeGTCalrDSflV8n8ciyN7oUm1xcXNC0\n+FFfV4ujU7exzc1pIMDv7nPUlJUVcTxzJ1JpM6KgxM9nAmPHdgtFSCQSfvblXFb89hsq0myhxRqr\nsDpin3YhLrG70IJcLkfX4Y4gCEYGcd+Gatxb44HO6Fzr+Tu+M76Qn11P/tl2QqOtKCpOZ8rkOV39\nF/9oBjlxlzm67ltqyptoPGFNTOVv4bswy9JDjXx0YRM//7uh6lRNTQ0taX4mM501x8IpLSnFx7d7\nvzs8ajjhn5u+L/ZtOIrd8Qe7AsOu41IRz8Gv1vTbAP/jV9to/89CHK5HTOfBgYxTaD86xZR5PXtz\nzJi51ZgN8C2mtbWVrHNfM2Nud03bYd5QdOUMmZlOxMTE38HZmWby5Pns3PcWU2caKiJ1aHRYyHvf\n5xoRNp0L57YQMbp7BS2KIkcPNfP4Iz1r/qpUKpPuaeiMHq6oSSIuvns+3j52uLnp2LV3JfcvfK6r\n/f5FL5J0YAPnmnORyDSIgi3BAXMYExVrcmyNRoNUKjUpu3grybt0nryCtUyZ4QJ0ijkUFyaxP6mM\nxFkPd51nZ2fHKx/fj06nQ6PR9Kg4NX/O82zc+h7R4xV4etnQ2qLhWGojXi6TKZdVYaV3p5ESJt6n\nprFBxje/kCM79gSObVHss8pEHb2eIL8TxMR0exXCRw8nfPRwPn1tJ/ZVhpHYlthTvy2Ws09mExnT\nrd7V1NSIvMl09K9C7UZNZYmBATZFTXUtWz5N5/S2ciJYaPKc1kLTWw3f51pZOVVbA3AVDffHnRrG\nkv6f9UwZuAy1GTNDhtkA32KOpG5lcoKxtJ1/oB0pBzNuuwFWq9Vk55zF2cmVgADjkm0AVlZWBPsv\n4vCBbcROccFCKafoSgO5FyxYvvTJXscfOSIazek2DicdQqlqRKuVoO9wY8Hc13tNReqN1LQdTIg1\nfqhbKOXo9KUGbRKJhMRZS/sc8+LFU2Tn7UVmUY8ggL7DjSmxy/Dy8h3UHAfKuQs7SZhlGK3tF2DH\n1bLTtLTMNyqRJ5fLe922sLW146nH3ubUqTROpOSjsnJiyQNz8fR05N3qbyla74JFZTB6nci638hw\nPfTHrpWli3o8wtEYdn70CTGrjSPV6y9YYiqu17E9jDP7NxgYYF9fP4SwQ5BjLKmpCcoifJRpKcjr\nVFXW8MkjGbifX46cHQjokWJ83ygcTIuZfJ/0vWdwqTOtDd2Yq0Kv1w/6vjRj5mYxG+BbjF7fjIXS\n9GWWytpu61x27V5Jh5BD6AgVZdUa0jLkxMc9ha+vsXJQ9Jg4wkLHkHJ0JzqtGn+/qTzxaN8pSNf7\nRo+Jo62tDblcftOrS0HQIpf38JCU9O9BfCOFhZcpLt/0nQHsdlXv3/kpDy76PVZWxprFQ4lOp0Mq\nrwW8jI6Nm+BEWvp+Zic+aNyxDyQSCTExk4HJBm3P/HYBdS/Xkbonk3NnG9GkPWDk1pUiRTg9goaG\nehwcDPf/JUpD5ajrCAjIlIYR7HK5nMhHFVx6pxDb9u5I6laLMsKXCT0Wa7jO5g+P4X6+U6zDjynk\ns48QDJeprYprjFzQu/b0dRw97CiiFitcjI7JbDp+sEIZZu4NzHffLUahcKC9XWvymKi/tQ/6GzmY\nvAXvoCKk8maSD+aRfaEUhWUFSYffYd2G96mpqTbqY2VlxZzEpSyY/xQREf0zvjeiUqmGxLUb4BdJ\nUWGDyWOivm/Rhe+TdWYPMROMH8gJs5w4nLJ1wONd59q1Ug4e2kF+fo7hHEWRU6fS2blrFampexEE\ngZ7S77U6Abl86N3hTk5OLHo0kQDv6aiaTNfglVUPo6amxqjdK1ZrJFkJUO16mFmPxRi1P/DCNKLe\nv0Rzwnqqhm+lacp6wv/vLMtenWV07vepP2/Z9XKgwhFr3MhmMxqaERCodDuI68upzFveP8/R1LkT\naR6936hdQI/HlLZB5S+bMTNUmFfAt5iEKYvYsuMtZt6wBwyQf6mRQP++hQaGipzcZOyrWgkM6jQ8\nk+KCuo6JosiuHR+wbPEfUCqHtiCAIAikpe2ntuEyiODtFcXYsZMH9OCLiIjm6zX7cPfoQKXqzn89\ncayGMZGm9417QyJr5saV73WUSgVaXd2Ax+vo6GDj5o9wH1ZPyGgHSouOk7FGzpzEl1EoFGzeW52K\nGAAAIABJREFU/gFjxskZH29LY0MJ6zYdRqc1/fJ1/Ggt9y9IHPAc+kvi3HlkeZ7CodzY1S4EXsLb\n23iv/JHXZ/Fe9lcoDyzCWvBARKTaKZXo19W4u5ve7529NJbZfe8EGCMXDP45jBicCOEca7Acn8c7\nK17B2WV8D52NkclkPPjOcDb+77c45y7EAmuaLYrQxifx2u+N95drqmtJ+vYEeg1MWhhGUGiAiVHN\nmBkazAb4FqNSqZg07jkO7lmLi3sLVtYyykpkeLvHMSbOuC7praCjowO5spHZ8yLZv+ciiXMNcygl\nEgkJMx04fGQ7sxNN75cNBr1ez9ff/JmJ8RJCozoNTvm1Q6zbkMnDS37WpxFubm7i4OENCGIVlpaw\naU0NPr42WChFdB32RI5+jOCgQZTvE0y/ZIiiiCj0XS9Yr9eze8/XtGsLkUg7KCutYfQYOyJGd6bY\nBIc6ERQisnf3Z8hlVsy9z77L1WnvYIWdYzk5F6rZslGJlZUFPr6OhI/0JCuzhCtXWm9pzWIbGxv8\nH2im6bNGLG/IG26T1BK4qN2ki1ipVPLrr5eTvOsYBcdSkFsJPPNoJL7+Y4zOvVm8JuloOqZFhoJW\narjAWmzwxIkgmk8o+cP9G3jmvQSiJoX3e8zIiWGEJQWwd10STZVaomPcmDD1YaP7b+uXh8n60BK3\nqsVIkfLN56dwXbaVl94xLTZixszNctNSlP3ELEUJVFZWola34ufnb3Lv6VZJvB1M3k5Q+EWsrJUk\nH8hl2kzTtVczUiy5b/6Ph+xz9+3fQMiofKxtDA1e+bVmOpqmMW5cz27EpqZGtuz4C4nznbs0olua\n2zmaDD9/9c9d+sb9paWlmYzjh7BS2SKRiljYpOLjZ6jKdfJYFWNHv4KHh/He7I2s+fZ9YqfpsLLq\nNpTnz5Yhl8sIH9mdn5uXW0vuxRoWPdTt8j24P4fIMd643CBmf/5MGadPlzJjVhhSqRxdy0yDdKSb\nwdQ9JQgCq9/bS8FuKUKlIzLPeoYvlPDIa4kGhqb8agVJq7PQtUkJneJC7PSxt9wQtbe3897TW1Ae\nvJ9sNjCOHxvsV18jiwb3Y7x9ZAFOTkMn+VhXXcXfY6twbTR8KW6TVRH+4QnmLTPX9b2OWYqyf5il\nKO8y3N3d+z7pFtCmbsDKutMI6vSCyXNEUUTQD+3toG4vNDK+AJ5etqRfOss4ejbAhw6vZ/YCZ4MX\nFRtbS8aMbyEtLZnQ0HE0NTVyJGULAi1IsSF+yv0GNW+vs2fvarTiBcaMc6ToSi1pKVexsLBEp1cz\na04w9vYqTmY0EuAzu1fj29LSzI6da2lty0apNFx5j4r0Zv+eiwYG2MfHhjOZJV3/bm5uR2VlYWB8\nAUZFeVNR0cQw78797BMp+cDQGODrnDt/kvyCNCRSDYLemhmPLeSxX/igVquxsrIyeiHcseIIme9a\n41azFAkSjn5RQursdbz+z4duacqWpaUlb65eyv/71VdErHjSKFjMi2jqKwvY+UUGT/xy6HKI9nx5\nFtfGBxHQU0wqGpqQo8RfP5XcfWrmLRuyjzJjpguzAb5HaW1tZc++/yBKypFI9IiCE2MiF5h0yQYH\nR1NweR1Bwx1xcrKm/FoDnl6GhurUiWomjBvap4yIaWN//Whv6KlEKjXeJ3X3sOHM8TOIKMk69x+m\nzvRCLpeh01Wz/9D/MWrEo4SFdmsDp6Tuwc37Ej5+bmRfuEZLs4anX4hGIpEgiiJHDpWgafVg2dJf\n9GpYdu9ZhVbMZvJMR9StARzcn4O3jyMjIroNtkJhGKmdl9OEpbI72OvcmTLGjjOdR23voKK5uR1B\nL2BvNwi3ei8cTN6MyvY0k2c4AgpEUcPxtH8Q0rKMsFBjNaiK8kpOvmuFR023eImt1hftzsf59uNt\nPP4/tzZ5ViaT4Wrrgxrj9D0AGUpaK0zXTh4s+lY5LVSRz15CWIAVTnTQSi7bsC83DkwzY2YoMEdB\n34MIgsD6TX8mbno7CTOdiZ/hRsIsOTmXV1NUlG90flhoBPm5Kjo0OsaO8yM3u4ITxwoRBIH2di0p\nBytwsJmOp+cwE582eBRST7Ra4xSWhvo2nOxN5yB3IfZ8a4qihL1JHzFzjk9XepJcLiNhpjunz23u\nOu/M2WNknV2Dj58DoihSVlrP+EkBXW5UiUTC1Bl+WCirezW+aen78AooZNIUN5RKBY5O1iTOHUl1\ndQuNjd2pZHp990uFRqOlrsqZ4cHTKC5s4sK5q5w7XUZ9nWk5zvY2LUoLOcfTWomN7TtauD+cy8vl\nz998Q1nVYYJDu6PFJRIJEye7cv7iLpP9klZn4V5jrBymwJKyo7fnkWHtJkX3fTHq7xDowNrLdGrU\nYPEeq6SAfUTyOFbfZT1bYE0ES2m8puVWbdWJokj6oRNsW72fmuravjuY+UFhNsD3IGlp+4lNUBnV\nz50Q58LJrB0m+yxb8gsy0+w5cqAWmcSB6goHtm3oIO9sCAvmvE3sxKGPvJ05Yyn7d9YbGGG1uoP0\nw3omT+49Alwp90GjMU59KSxoICengKixpvf/hvlqKC4uQq1Wc+nKVry8O1fRRYW1BIeYLlfn4d1O\naWmJyWMA5VWn8RpmXIB8cnwwWSeLAdBq9RRfaSUrs4KUQ1VkHLHGy3MkDY2FHD1cydnTV1m8LJrD\nh/KMxhFFkcqKZo4cbCFu4jM3LQyh1+v55ZpVvNpcy1p9KwlTTbvVFZZ1tLUZ56Lr2yVGrt/rCG23\n55Ex//HJlHlvNGpv4hodLkUsfG5oAxhnPTQOK4W9ye89rHYOF87kmOh1c1w4dYk/zN3O0UfCKfn5\nIv4+7Qr/+t32W2bszdx9mF3Q9yANTcWEOplOY5HJm0y2KxQK7l/04q2clhEqlYplS37LgYPr0Qrl\nIILK0p/HHlncpwDC7MRlfL3mHaZMV2Dv0PldiwsbuFrohaUqF8seCitYKCVoNO2kHN1J7BRnjiR3\nrioEQUQqNW1UJNJOr0JPSKUawDgy+foLUElRI9lnZfzsp1/S3t6GtbUNGzZ+jKv3ScLH2BA7dTiN\njW2sW32S+GnD2b/nIvHTQrC0VFBb08q+XVeZMPZFJk0avCqaRqNh9V+TKE9TUFXVypVIJbpAJXKp\nDKGnfX8Bk79DeLwbyf+8gl2HsUCLw0jTq9KhxsrKikc+Hc6qV/+FW9F8VDhzhSTafM7y03/OwdFx\n4PnfvdHR0YGtwhUT6c4ota7UVRYN+eetf/0yHtndaXTuVdNp/lctm7wOsvilmb307qSqsobzJ3Px\nDfZkeFhQn+ebufswG+B7EEFQIIpiD3VYb6+mcV+oVCoWLuhZvrK4+Arnzh8BJIyLSewKglIoFDz5\n2O9ITdtLdtMVREGKv998HnxgAlt2vElBfhWBQcY5qOdO1/HckyHkXU7HQiknaLgrp0+VEDnGm+2b\nzxIQaCzAca3Egik97M0CCDrTBSbUrRquFtkRHryAJx4b1/V9048dJGpCOy6u3f3s7VU89vREMo8X\nkTA9hD07LlBfr6b8agO/fXM9zs6m9zv7gyiKvP/sZuz2P40TCpyAsKtw7vxuLvzdl43HTvBUovEq\nWKtxMZn3PSEhmpT56+jY4oEF3S96VcHbePrloU896omoSeGMzggl48gp8rLzeWl6JOHhr3YdL7pa\nxooTxyiUSbAURcYpVTyTOG9Q6lbu7u4owo5AlvHKusk3jZgp427qu3yfvevTcMxeYNSuEpy5vFcH\nL/XcV6fT8Y83dlC92xf7mjjSVYXI4zbz7IfxuLkb399m7l7MBvgeZOL4eZw49iETYg2jqhsb2rCz\nNq1ydDeyZes/cHQvYUKCC6IocubU3zh9JoK5czpXBTKZjKnx8436yaROODu3kptdTtiI7qjji+ev\nYWc9GqlUipdHKNeuHiAwyJXzZ8v49+dHCRvpQVZmCdEx3SIUWSdrCAma32t6TcTIWZw7vZ7RY7rd\n3qIoknKwkZ+8/GejvN3K6gsERxhLJVpZWdCh0bN310VGjPIiJNSd2poWvt34a+YmvkZgwOB+u6P7\nT6I4NA8Zhi9fo0vnUfr1VyQvnYhfZibTYjpd8DqdntTkGiaMfb7HMX/+2WLWjdhFaQro22Q4jNDw\n9I+j8As0rk18K5FKpcROG0fstHEUXi7mH7/aSXuFBR3WtRyOaEb96ANd5+a0tnL529X89ZEnBvw5\nEomECc84kpl/AYemiK72VosyQh/puQjGYGm8pkFpsmYUaGp7fyyv+NNedKsW4/7dy5FlWyTigdF8\n8cpKfr3uoSGdp5lbi9kA34O4u3vgZDuNo0eSmRDrglwuJftCHdXX3Fjy0L3xB5iWnkTwyGrcPTrf\n2CUSCWNi3MjPy+XixdOMHNnzSity1ByulH6LRNpB0r5s5DIpHR16yooUvP5aZ2Wk6OhYVny9H7eF\neirKm3j6hTgUChklxXUk7ctGIZdRUtRE4oxfMHpU7zKbYaGjaWtr4XDSQSytGtHpJGjbXJg985Uu\n46vX6zlxIoXmlkY6NBp6+tOqrm5m8bKxXRHTzi42LHkkhH07VxLg/6dB5dkWHK/HRmfaMDrm21AW\nE8OnpX5s27ibaTIdHk6BzJ7+nJHm843IZDIeeXUOvNrjKbeVYwfOsP/nOlwrlmNB54ZA8OFkznpc\nQDKj02BKra05PjKUkxfOMS5idK/jmSJx6SSs7E9x/JtvUZcpUbpqibjfhnnLZw/tlwECopxJl5eZ\n/N1s/HqO8Nbr9ZTut+gyvteRIIFjE7h4OpeRY0zn+Zu5+zAb4HuUuNg5tLRMJjVtF3qdhlERDzAt\n1njP7m6lqvocw0cZryqCQ51IT07v1QCHh40mMzOLuoYcHJ2daGhoorq6maiYYezY+ztEnTeLFr7I\nsiVvsGvPl7Q06bsMnq+fE75+nStZvV4g61h2nwYYYExULGOiYmltbUWhUBises9fOMn57M1Ej7fG\n19aCb1aeoq42Aidnw++n0Whpbm43SlcCiB6v4uTJVMaPH/g+sNxGQEBAaiKmssO6c1NT4u6Fs9yH\n5x9/ZsDj32lEUeTgR1dxrTBMkwurmkbVZ6spn37DdkxgIGkp6YMywACTZ49l8tDbWyPiZsWQPHkD\nVoefNvjdGuzPkvCER4/92trUCDXGue4Adu3Dyb+4zWyA7yHMBvgexsbGhrmzH+77xFuMKIpkZaVT\nVn4WRPDyGEVMTB96zxId0MN+taSH4hWiyLadXyKVFxA8UkFVpci5rHrip7vjF9BdnF2jaWXTlr+x\nbOnrLH7wJ2zc9muT48lkUvT6geWTft8V2dLSTO7lDcyc2/3QfOLZcaxfk8mCRaOxsbX8bk5aVn55\njKDhprWTXVytKL5UPqC5XGfuE+P5eEUSHhWGlqOdJtTD8vBKUhMtU/DTpY8CnQFAEonkttdAHixF\nRUXos0znRoeej6YkvxCL4Z0vn6IgoLgHooglEgmv/nsOK3/7DeXptggtVliH1BH7jCtxiT1rXVtZ\nWSP3qYN642P19lksnGQ2vvcSZgNs5qYQRZG16z8kfHQTkxI6pR3Lrx1izdpjPLL8Fz0aYYnEGUFo\nMAqYaW/XorQwHRC1d98aRkRW4uDYacQ8vWB0lCs7tp7DL6B7f1apVODgUkVVVRWurq5IBNMBTvmX\nqrh29eYk9Y6kbiM2wdCoSqVSliyP4at/pREU3HlMJpey8P7RJO3JNjnOhbM1jB61eFBzcHZxZsrv\npKT+eSeuZXOQIafO6jw2izI5tvotamtbATifmcfej/JpOGMLcj3OMc089Gb0Te/rqtVq1qQc4opW\ni0oUWBQWweiQIY5FkJg2qqJEhBvuMcvjJ1gyYWhVxG4VdnZ2/PTj+9HpdHR0dPSrDKZUKmXEA3KK\nssux1nXHP+jRYjX9Iv5Bg7uHzNwZzAbYzE2Rln6AyJhWXN26dZU9vWyxtFSTkrqHhHjTqkkJkx9k\nz753mTm3OzdXFEUO7a1n2RLTG49N6mwcHA2NqUQiISraxyAgq6y0nmvXKqiuehtLpYrGBgs2rSvh\noYe73dqtLRpyssvx8PbskmMcDHpBbdKlLJNJCR7uaqC7XV3djJW1BVcKqg0iuNvaOrhaYs+MKT1H\nYvfFrMUTmTi7iT2rt9LRKjJtViDhkd3pXkUFpWx6sQa30mV0reG3w5f5a/nfnfbY2BjnOfeHypoa\nfrZ/J1cTZyL9LqL68MWLPHWomMenD01uub+/P7Lo3XDcWLUrNzwDRdBURFHE4uRJnlZa4eZq2stw\ntyKXy5HL+/8oXvzjGawXD5C7UUQoHoboXI37tAZ+8kfjqGozdzdmA/wDRxRFjp84TE1NCS4uvkwY\nP3VIBfWray8SMtp4L9fRyYrsM7mAaQPs6OjEjIRXSUlaD9JqQIJEdOeB+94wWZFHEARksnaTY/n6\nOZF8IJewEZ7U1bZyKbeSBYsM9wC3bCxh+5Yz2NpaotMLKBQy5t83irLSBoqLCwkPH2ly7L6wsfak\nqekcdnbGeck6XXf+rbZDx6GkXJYsG8uZrFKS9mYjl0vR6QVKi1t49cf/AaC4uIDMrO0grUMQZCjl\nvsyd83i/3MW2tnYs/ZHpDcy9X5zBrfQRo3bX7MVs+/cWHv3Z3P5+ZQM+STnItQXzkN5wT+lHjmTN\n0XQWNtT3GujVFzkF+STnXqS9sQmmtZB99UvCy55BgqSzJKLnQaY+qKMpNR1LQWRxzAS8PXsvpPFD\nQCKR8PBPZqH/kZ7a2lrs7IJM/s2YufsxG+AfMFVVFexJ+jsxEy0JHGFNTXUJq9YkMWfmT3B3H6oH\nVS96z5LetKDB3d2TxQ8arnb1ej3JR3bQ3FyCIEgZNXIaQUFhSKVS9HrT4huFV2oY5tP5oD+VWczM\nRONSdQvvH82RQ5eMKkFVV2oJHNNz0EtfxE+ey+q1acxdZGnwYnP+TA0Nte6kHmoEUYZM4oWTow9S\nqZToGMOVbvI+HSqViuLiAk5f+DdTZroCnd9Ho6lmzbd/4YnHfnNTL06tJUoTFZBBhoLGK4NXt8qW\nYHJe6kkT2JKRxtNzBr4qEwSB367/hjSfYTTUVWEREIBqzgj08Ve4suv3TCkMwMXHkqeficQvYMKg\n536vI5PJcHMzre5m5t7AbIB/wCQd+oI5C526HpAurtbMvc+apF1f8uiy3w7JZ1hZ+qBWFxiU5oPO\noCNLpXHR995oa2tj7fo/MWWGCnv7TnNx8fwqCq5EkjjrYRxsIqitycfZpdtdLIoih/aXEjPem9YW\nDW2tOpMGQS6X8f1mQRBoqHXCyWnwIhhyuZwFc1/n4P4VyCyqsLAQaVfbEeQ/l5dfmmJw7qlTKWQc\n3cX4WFekUint7VqOHKhj5tSfApCZteM749uNUqkgclw7WVnHGDs2dtDz1CirUXMZR4IMom5FRJSO\npoPe+oPQU1ENiQRdL+pivfHV/t2kxsfRfOQI9vPnI/lu9S8PDaU1JITS3Xv51TLzXqeZex+zAf6B\nUlVVhatnCxKJsXvY3auViopyPDw8TfQcGNOn3c/Xa/7A7AV2KCw6byetVk/SrkYeXfbggMbau28V\nc+6z7yqwADBylAtZJ09TXj6ZxFkPs3vPKvLEPDy9oa5GT321Az96/m+0t7dx6dJ5LOS6HscvvqIl\n92ItQcPtKbjcSEmhikULXhncF78BFxdXHl78C7RaLVqttsf95LFj4/GpCiM9ZTtSiQaFwoslD7za\n7T6U1QP2Rv28htmSkXKRsQzcAOddLORfr6SjThuFnA7y2IYKJ/zprG9b7ZrC008Z7632lxARjpto\nV57K4r6YiYMaM6NNDRYWSK2tu4zvdSQSCTmBAVwqLCAkwCy/aObexmyAf6DU1dXg6Gj653V0llNX\nVzMkBlihUPDIw7/hwMF1dOivdrZJvVi+9CcmZQ57Q8815HJjAzQmxpUTKftZuOBp5s97Ejs7C06d\nusDwMc43rF4d8fDwwu6MA1fydxEYbJgrmZtdx6KF/4PSQknOmWyCAkcSP7GPikwDRKFQ9LlX6+bm\nxv0LnzN9UDBdhEEQBBBM/5aVlRWcyjqMSmXL5LhEg89vb2/nk0dP4HL2Ua6HyLkxkkouUMgRrIbX\nEP+6HX4BPn1+t554cVws+QcOUTNjWrfnoayMBWoN7oN0j6qlEoTmZmQ96D3rvIdRUFBqNsB3GScv\nnCO9uBArqZQlkybf1P7/fwtmA/wDJTAwmO279fgFGB8rzNexcE6I8YFBYmlpyYL5T1JQkMuF7COI\nkjayTqcRO2nGAPctTbssJRIJIt0VlZRKJcOHm55/VNQE9icVkVGRRcxEF0RB5ERGLfbWEwmb0KmY\nFBAwfABzun0oFX60tZWjUhm6809mVDNpoqGetiiKbN32T1R2xYyNc0Hd2sGm7SmEBN5H9JjONJzd\nq49id3ah0ee4E0HxmL/z6x2PGMloDpRAH18+s1Sx8tARSqQSrAWRGZ5eJC64f9Bj+goiVx0d0WVl\nmTyuys0lOiJm0OPfKdRqNV8c3Ee2qEcCjJDIeH7mHFQ9FBa5V9DpdLyxfjWZESMgPhZRp2NLejIv\nObpx36TJd3p6dzVmA/wDxcLCAmvVKCrKC/Dw7NacraxoxVoZMeDVaV/s2bsaK/scJk3tXJHW1Bxj\nxaqjPPbIr/sv+CC4AMZ1Xgsu1zM8uOcauW1tbeza8yWi5BoSiQ5RdMTXax4nj5Yi6AVmzfzRoNNs\nbidzZj/KmnV/ZURkI75+9giCwIljVThax+P6vdSaQ8lbCY+qxcm5s93aRsn0RHdSk7cRHBSBnZ09\nDSV6g2IKN+Ig875p43sdd1dX/vf+/u3JCoKAWq3G2tq6x5ezR0eP4WJmJi0KBbqaGuQu3QUGhPZ2\nJtY2DHp1fadob2/nxxvXULhwPpLvUo5ytFrObfiGz5Y9MWS/xZ3gn3t3cmLmdKTfvUhI5HLUU6bw\neWoqU+rrcHQ0XTrUDMjeeuut2/E5b6nVA1Mc+m/E2lrJUF6n4cGjuXi+npyLJZQU1VNUICJoR5E4\na2jVswoL82nu2M/IUd0PSisrC/wCpaQevkJoaFSv/bVaLTt2/pt2bRG5uSUUXqlG3abF3d2OxoY2\nLp61ZfrU7hXVjddJFEVWr/0j02ZLCQy2wS/QBjt7DYeP7MPGtgkru1ouXMiktVXAe5gJd8BdhFQq\nJXJ0PNUV1mSfb+RasS2x458mPNz4+mWd3UzYSOOV0zAfFRlpVwkJiST/0hUakwORmXrPHnOWSfcP\nnRekL/R6PR/u3MIH2edZUXmV3edO01BSTHTQcCND7O7kzAidQGNFOdcyMtBcKUCsr8f50mWmlVzj\nV4v6Lmc5UIb6b+/7/CdpD0emTkF6g6GVyGTU+PmiOH6CqKC70ytjiu9fq8+zz9EYYjx/rbc3kvRj\nxAy1KMs9grW18g99nWNeAf/A6TRcg3cH9odzF5KZNNW4DJpSqUArlPXZf92G90lIlKJUegKd+9Ln\nz5azbnUR4cOnsnzpAz32PXXqKNET5F2BW3q9QOqRyyx/PNrgwZ6bncyZs1ZERfY/MKipqZHUozsQ\nRQ2ursGMHxc/pDnUPRE5ejyRo3uWIwSQyjrARGKRXC5DoA2ABU9M4d11O3C9sMTgnEbrXCYvdTfq\neyv509aNHJg8Eel3AWqVwOqaGnR7d/KjucZu8qiQMKJCOlPGBEGgtbUFKytrZDLT++QD4VxeLtvy\nLtImkRIgl/Nowgzg1npIcrQdXUIlNyK1suJiu/qWfvatpr2nOtsyGeqeouTNAIM0wKGhoQrgK8AP\nUALv5OXl7RjKiZm5d5BIjN3G3fR2DPLzcwgIUaNUGgZsjIr0pK5KzcyZvUdSl1deYkJot4v9ZEYR\n02aGGhnKsBGOHDmQ0m8DnJl5mJLy3Uyc7IpcLqOy4ggrvj7IsiW/6tqza2trQ6/X3RH3tqAz/Zn1\ndWocbDvzoFUqFT9eNYYvXv0G7cmRyNvt0YZnMfZpJVPmJty2udbV1ZJua9VlfK8jcXHhgOY8z2m1\nvW5TSKVSbG3tejw+EFYe3M8qayX6aZ1FL45qNCRvWcfqR5cj5daJWch70ace6EO45GoZG7NOoJFK\nGePkwuyJcbflxbAnfHUCplTMxZISJgwbfIDffwODXQE/ClTn5eU9Hhoa6gicAcwG+L8UL48Iyq8d\nxNPL0CiIogg96DBfJ+/SKcZNMR0tKZE19fnZMpkKbUdtVwpUe7vWpCpV57mtfY4HnYa1sHQ3CTO7\nBTrcPWyYvVDP7r1fMT5mHunHv0WpqkUml9DWYseI0DlERAxt0fbeiBiRyJlT64ga2319BUEg/Ugr\nTz7WrYY1Ykwwb25yp7CwiJbGCsIjpg9I9nAoOHM5j5awUJMPm2p3V6qrq/DyGnbL51FXV8sabRv6\nGyptSZVKri6cz1927+bNeQNLmxsIcY4uZNTUIHUx9BSJFRXEu/bfG/HN4QOsEHV0JHQWO9lTVcWO\nr7/iw2WP37F95CeixpKdfozm2EldbYJGw5iss8Tdg9W3bieD/UvcAGz87v+lQM/Jl2ZuipaWFvbu\n/w+ipByJRI8gOBIZMZ/QkFF3empdjB0bx6pvjmA/U4OVdaebTRRFDu2rZubUn/fa18bGiebmEmxt\nTchP6vsO3oqffB97D75N/PTvjKUEOjQ6LJTGt7ag798DKjV1FxOnGL84yOUyWtvzSTn2D2bNdQe6\n1cROndiKtbU9AQG3Z181LHQ0Wq2GI0lJSGS1CIIMieDJg4t+aXJ/NCDA/7bMyxQBHl4oygoRTaQV\n2dTX4xB5e9JVNh9Pp33SBL6/VpRIJOytqeENQRjyveXr3DclgZPrVpMyeiRSn85VoVhczIycS8xe\nvLxfY5RXVrBSr0E7fnzXd5C6uXFh/hw+27eLny3seavmVjIyMJi/AF8fSOaKFCxFiJYpeHnZ43dk\nPvcSgzLAeXl5rQChoaG2dBpj0/XezNwUgiCwYfP/Mec+R2Sy7jfnkxlrkcsVBAXeHaX5R1TFAAAg\nAElEQVTHJBIJjy1/g31J61C3F3W6pAVnZk17HReX3oXx42ITWbfpCLPmGRpgjUaLXOrDpUt52Nvb\n4+5uWi7SxsaGAJ/7SE7azsTJTkyYFEDS3hzmLzJ8QamsaMXVuecawzfSoW1DqTRt/Nva61hwn7Fu\n9NjxzqQe2HvbDDDAqIhxjIoY1+lpwLQk5N1AgJ8/I9KPcCFipMEcRZ2O6Nb2QRfCGCh6UYQeDGyL\nSsW/9+3mhbm3pqCBRCLhnWWPc/R0FkeOHEUCTPP1Z9ISY33unth4MgNNfKzxC4SFBWf1g1czGwpG\nBgbzl8Chzav/b2DQvqjQ0FAfYDPwaV5e3rd9ne/qevengdwN3HidDhzcRWyCCpnM8KExbqILJ44e\nYOKE2+fy7A9PPv7ioPpNT3iW5P0rGDvRGjs7FZfz6sjMaGTYsEbq21ZRWqXn6DF75sx6Fn//TvEF\nFxcb0o+lUF5eTFTkRKLH/IHP//k7VDatyGQ2fP3VGSIiXQgNc+X8mSZsVJEs7edKIzhoBOfPrmFU\npLFbtLGhtcvd/X0sVW135X1+J+ak1+uRSqVdBvfvjyzjZxs2cC44GNHfH3leHuOuXuXDpx6/bQb4\nyVnTWJ2cjGzSJOODosgpQXPLr9UDiQkMdp2qsFb2+JIlWMhv6+98N97n9yKDDcJyB/YDP87Ly0vu\nT5/q6puru/rfgKurrcF1Ki7NYWKA6YdTh7bmB3NNPT1CeGjR26Sl7ye95BJXy9oZNUbO+FjD/bJN\n2/4fy5f8kY6OejZv+5iocUrCx9hw9mImhw8V8PTzY1Badqt7HdhXQtaxYSTO+gk2Nrb9vl4SiRXZ\nF67iH+hs4BrPPFGETqdDFEWTD0JNu9zoMxoa6tm6/V/U1OXi4CBHFJW4uUQzr58Vjm6W799Tt5p9\nmcfZUFJIqUyGSq8jWpTyi3n3oVKp+Nvixzibm8PFjFPEhIYTMiGB1lY9ra23Z36WClu8L2RT7OuL\nxbDOlytRFGnevx9VZCQNuXm37VqJosiBE8dIraoAYJyDM/PjpvTqAh/j4sm3RUXg7290zE+jv21z\nv9331L1Kf15SBrsCfpNO0drfhYaG/u67trl5eXmm68WZGRQSUYkgNJv8oxT0P6wMMrW6lZKyTPyH\na5g+x43Ll6rYsfUsMxLDuwo9xE21IyV1N9V1Wcxe2L1HGzbSmaDh9hw6kMfsed3u4ZmzfUk50Djg\nKOXg4BBOnw8gK7MEbYceuVyKVqsnOMQNV1dfThyrYkKsYeBMYUEjfj6G9W/r6+v4/+3dd0AVZ774\n//fMKfQigoi9oIOiYq+IWGNvMRrjpmdLdu/2e797s+X+7mZ3c7cl27I1u8kmMTGJiTGxiwUBFbti\nwcGGFZHeyynz+wOC4jkgIHJQP6+/PDNzZh4mJ+dznmee5/N578Of0KmznacW3RwSr6rK4b1Vr/D0\nk//TboeNW2LH4YP81qjGNn0qAFXAdrudza+/ytRIjRVDRxATNYCYKNdqVW3lq3FT+a/0dCpPnEAx\nmTAcDnxHjcIcEkK3k6fbpA2GYfCTD1eSPGIoysCa9bOJubnsfP/f/Gb50w0utRozeCij33+H1LAw\nVL+bOd5Ddiby3Gg3vXrR7rX0GfC3AfdV00WrGTd2Lnv2/IaxsfW/7IsKKwj0f7AWt6/b+Bemz/FF\nVWuWFEUP7kLUwM5s2XCS2fNrgldAgDfnM48yeoLrDxKL1YzZrOK8bSKNaipqdltMJhOdO43DO+AQ\nfSJv5qY+f7aIfn2m4e8byI6tWxg20hcvLzOHDxQR6DuCaVMn1DvPzl0fEhxSSfzU+s+MvbwsDBtd\nwaFDuxk58sFJ1fdJ5jls06fU26aYzTBrJltLSzly9hQ/ra5ihOa5ADxpxEhGph/n1NxZdRmpAPyP\nHGH5wLaZ2Lhq4zqSRg5DDb/5/7UaGsqBKfF8tHMby6e5r+kM8H/LVvBWwiYOVlVQqSj0djh5ZswE\nerbBLHLR+h6sbtQDJjQ0lE4dp5O0fStjY0OxWE2cOJ5HXlYEjz364JRjy87OJjS8EFWt/0PDZFIJ\n6ehHcXEFgYE+lJZUUlZqo3OE+1mzPr5WqqsdeHvfEqCNlg3zxsfN59ChDiRt34uqluNw+NCnxzTG\nxtWUGBw6NJYDB5Kpqq5g1rTJ7vP5qrlYLO57MxFdA0lNOgU8OAH4qsn98Km1Z09Ktm8nPyqK/7d5\nHaGnj2M1DGJUM/8xY06bFpNXFIXXliznd5vXc9RwUKGq9DYMvj56JFFdW1bcwel08va2zRyoKKNK\nUejtMHhufBxdwut/ng+mn+RvJ45yuDCfwDjXHqspIICDZSU0NFOhqqqKz3bvwul08t0hw9GkGMV9\nTwJwOzd29DTKysaRsnsjNlslQwYvZuqE9p1Ssbmys6/QuYv7L+HwiEDy88oIDPRhT1Ixg6Pj+GDl\n+/TsHcSoMb3qBbiy0iq8bll+lJdbToeglpfaGzFiIiNGTHS7z2w2M27c5EbfbxgKTqf7BAyGYWA0\nUOGovSgtLeX95J3kOZ10s1hZOmlKoznEAxwOCt1sd5SW4igvpyojA+tzz5Jdu/2SzcbZD1fy16ee\nb9OheB8fH364qH52MHfPNRuaXZ6WoZOQkY4CzB44iLdSd7N3chyqf83ozVnD4Oi2Hfxu/CS611Yc\nu5GTw8tn0ymeOQMlIaHBtjkbuA27jh7mD+d1cmMnoPr48OHJU4zdt4efLV1xz5ZOiXuvfX8DCAD8\n/Px4ZMZjdz6wHTIMg8NH9nL9+kX694uhX7+B9fbv3rOFcxeSsPjkEtHFtRTh+bM5dAwJZsuJIsrK\nVHz77WX5k8MpLalk+9Z0Ivt1IrJ/JzIvFJBzoxqHw4nJpHLieB7517uyZPG9WVbSFFZTNyqrM6mo\nqHZT4SiLMaOaNivbEw6ePsXPTx2jYFIcitWKs7yc9Ws+4JcTp9C7m/vsRuO8fLhYWloXiL5QumsX\niqIQMLn+DxbFYuHkxPFsSd3NzHZUNSf9wjn+ceQgGYqBisIAp8E3xk2kR0QX/m/NRyT07IoxqeZx\nw0cbNmCOHoD5lr9ZURRyp0/lzW2J/H+1gX7l3iSKJk1EARRfXxzFxZgC62f3clZVEW11/SFaXl7O\nqxcyKJ4+jS9CrSN6IMm9evL3Tet4cc6Ce3IfxL0nP53EPXPt2iXeXfUTzH7bGDUxixtF7/POez+n\noqImV3FKykYsfnuYOb8jdpudstKqeu8vLq6krLAXA/t9C3/fLsxdFEzf/jXDz/4B3sycM4ijh6+y\nbVM+lUWjeWbFHziS2pX9SaH06/5lHnv0Gx6d5PTIjCeoKI1g/drjXL6UD9T8INmddBFf6wQ6d+5y\nhzN4hmEY/CHtMIXTp6HUZldSfX3Jnjub1/YmNfi+r82ax5TdqZgOH8EwDOz5+RStW4e3pqE2MMxs\nCgvjSH7uXbe5qqqq7nN1N7Kys3kp7TBHpk+hbNpUSqZNYf+Mqfxn8nbW7NjKlphoDO3m/Aublxfm\nPn3cnuvMLU8fchUVpban6jd2LCVbt+K8pb1GdTX9Nm7mycmuVb9WpyRSONH1B4rq50dqtcx7vZ9J\nD1jcMzuT/sXMeTdLkfXTQujd18G6DX9j6ZLvcjV7H5Njanq902cOYEeCjqKAn783pcVeBPhG8/xz\nz6AoCnv2X8Tq5Vrw4ZE5A7h8Joa4iXMAmDOr6YkN7pWrVy9x+MgOAGZOf4Hz50+SmpxEYuVZgoO6\nM3f2Sw0mFmkPjp06SeYADXdPr9M7BFNUVEhQULDLPlVV+d8ly7l09Qp/eu8D9jhsBHxpBarJRKWu\nu72WYRj4NDBM3xTnL1/iT/v3kO5lwWFSiSyv4tmoQYyOHtSi8729N5mCKZNckl3cmD6Nd/71Fsro\n4fW2G05ng8vSLLf8XR1uOU4xmQhauJDS5GSw2wnJyWVJt148s+xJt0P8RTab20IOAGUNFEIQ9wcJ\nwOKe0PUT9I1yumw3m02YrFkUFxfj5VNGzWq2mi/vaY8MwOFwUlpahZ7Wl7mzH697n6q6LxUXEODN\nvgMbKSq+TGTfsUQPbLz04b22bv1b+ARmMDqu5sdC2pG/UVnSn2987ZcebVdzFJWVYoS5Pg4AsPl4\nU1FR4TYAf6FH12785sVvcT07mw+S91KmQnZOPkdLSlAD6i8J8zpwgCUjxzSrfXa7nbcSNrG/vJTj\nBXlUBwXhO2Q45g4dSAde3reP1/z86N+r6XMlnE4nOTk5XMbpNpgqFgtlAf4u232GDKHi0CF8R46s\nt92oribGdHMC4BNjxpO4Zy9lE8bXnM9sJmDyZLyOn+DX0cOIaWRm+Iiu3fnkyhWUbt1c9nV3tF21\nIZvNRsLe3Vi8VcYNHI6/v+v9EM0jAVjcE1nXL9Erys/tPv/AmiHD6irXPpbJpFJZ4aBzp/pfNk6H\n+y/8UyeymDIjmJ69yzl35hM+/WwfixbcOSNXWtp+zpxPRlHLMZy+RPaOJSameYHgdocO7SaiZyY9\net1MvxkzPIxLmZkcPryH4cPH39X528qYIUPpuGUdRVPiXfb1zMomfPwUl+3udA4P5zvzakphOp1O\nfvLhe+zRIjH6RWI4nXjvTeU530C6RTR9KN4wDL7//tscmTkd1ccHb8DLMChevx7FxwccDkrMZr6+\n+XO+FTOC+U14tvzezgQ2lxZyOSiY8iuXaCgvV0hlFdk2G8otCVQsnTtTcfIkjgMHMY2qCcLO3Fyi\nk3bz9eVP1R3XtXMEP4jowRtbErjQPxJMJrrpZ1jRpVujwRdgwtDhDHr3TU6Eh9e7tveRozyuDWzk\nna1n84FU3rh8gRtjRqN4eRG4awuLrX48N31mm1z/QaUYjZTJakWGZE65swcpw0xOTg6Hjr/K8FGd\nXPbtTMjjsYU/Y83aPzMuvtJlqc6W9Xl86fGf1+uJHDqcTJltK1EDby5Bqqy0sXXTKeYvujnTOfNC\nId7KPIYMbjhN5+7dm3Ba96BF3TxXxulCqBpLbOzsFv29AGvW/p7Yqa69foCUHSYWL2j7pfMt/Uy9\ntW0L74R3xOjVs26b9VQ631YszLmLpA/HTp8i8dwZvIAlY2MJ7dh4tazbbdu3h5c7BtZbQwtQvGMH\n3ppWl+EKQL14iedy8vmSm+eqX1idnMhfOgZi1BZIqEhLQ/Hzw7tv/SU+5rQ0fhnQkdeOH+HqvDl1\nn03D6aTn5+v5wegJbMpIp0qFocEdmTUu1u3sZMMwOKWfxma3M2RgdL1jqqqq+PY//8Ixk4ojwB+f\n8gpmBwbz/5auoKqqit9vWsfh2qVT1kuXsAQF4egQTEeHk0fCIlgUG9ese9lUV7Ku8cLxQ1SOq1/K\nU72QyY+rDaaMbLx29cMqLCzgjs8HpAcs7omwsDCK8iMoLyuvq5AEkHWthNDgYaiqytzZX+ajT35L\npFZJpBZCXm4ZB1MriB37jMsw4IjhEzl0WGFXwi5MlhJycnMJCFCYPa/+s75evYPZk7i/wQDsdDq5\nkp3C5On1v/j7RwWzM2E3TufMFi/rUE0OcHl6WLtPvb8Khj077REi9u1h07YdFJpMhNkdLI7UGD/E\ndYi/urqaP25ax0GHjUpVpZdhsEIbxKiBrkUrYqIGEhPV8l7b/twbqLXZo77grKxEUZR6wRfA2bMH\nn2ecYbnD0WB2qY03sjCG3mynz5AhlCQmYr90Cb+JEzEcDqy7khhTUMSA5U/xevce/G3Hdk4rBgoK\n0ai8uPAxAgICidbuXBxFURSi3WQCMwyDZb//NddnzsD7lkld63JyKF75Fr948jn++4sZ1TsTeHNK\nX5w9ewCQA+hXr5KfsJnn70GP9IMDqVTEx7p8sp29e7F5e6IE4LsgAVjcM0sW/QfrNr5Fle0cZnM1\ndpsfYR2HM3VKzbCkt7c3T634MXrGSQ4kH6NDh3BWLJvcYAAcMTyWEcNjCQsL4B//+iETJrufmKIo\nDY/qnDt3lp593O/vE6mQkXGaqBYGCJUQbDbX5Bs2mwOz6joS0JYqKir4ODmRQls1I7p1Z3zM8Du+\nZ+aY8TTl6/w/P3qPY7Nm1M2YPgpkHDrMy4rCyAGtO0RqdjNhq+rMGbwHuB/GvdqjG5cvX6JXA8+D\ns82ugTkgPh5HSQnhv/8DuT7eVMyeTVJYGGm7tjDP5MUPF7b+ksAdB/ZxsVsXgm6bUW0OCyPR15uS\nkmICAgKx2+18VpiPc2T9H0JG166s1zN4srq61esCF6tKg6sJimQN8l2RACzuGZPJxMJ5LwA11XEa\n6oVo/aPR+rv2lhqjKGE4HIUulaIKCyoICWr4mZq3tzdVue6HiSsqHHQKanllnimTl/Dpul8wY07Y\nzSFKw2DHljwWzXuxxee9W0nHjvDaudPkx01E9fLi48uXGfTum7z62BN3nYVqz7HDHBs6uC74fqF8\nxHDeT9jR6gF43sDBbD55Cmf0zfOagoKw5+Vh6ew6s9ynqIjAPg1/HoIdTsrdbHfm5JA/cADO2bP5\n4qlrycSJrLpyha57U5jTyuuWU85lYOnufn21Om4sKceOMis2josXM7naqwfuQmy21p+TGacZNmhI\nq7atm8mMs6rK7UzsLncxg13IOmDRRhoKvi01NX4pWzfk4nTeDKZVVTb2JNqYMKHhXLrdu/cg66qb\ntJHA1Ute9OzZq8Vt8vcPYOa075G8zULS9jyStueRst3CrOnf99iM0erqan5/Np3C6dPqvkCV7t05\nMWcmr21a1+Tz2O127HbXYfRDV6+g9Ozp5h1w2dz6Xy8D+kayJL8I9eSpum1mb2/YtcvlWMMwsJ84\nwavJO0k8eMDt+SZ6++IscX1G7rV+I7YZM1y2G926sSX7WqNtrKl0lMqvNqzl9+s+5UpW48cDBFm9\ncBQXu93nyM6mS8eaWfUBAYF4FbnPb27JL6BjI7PTW2pF3BTCt7sWvfPbt4/lQ0e0+vUeJtIDFvel\ngIBAFs17iR27PsJhZKOg4mXuwYrly+74DHd4zKMkJrzLhPhQLBYTNpuD3Ym5DI/50l23KyysE0sW\nf+uuz9NaPty2rSZ94W3bFYuFI4bjju8/feE8fzu8n9MWEygKWrWdrw0fxYDaPMQBJhNGdbVLDxjA\n11Gz9nXlti3sKSumQlXp6TB4euQY+nTv0eK/6euz5xN/9gzrE5OxKQqjw8IJm7eYlz9eQ+70qahB\nQdhzcihJSiJg/nx2h4ay++JFFq9fy7fmLqx3rq/OnEvB2o9JCfSlJDoa9fp1+ulnCOvXj71m91+P\nxY38mLTZbHx31TscHzcaZcAEDMNgw8GDPKOfYkX8tAbft2LSVFa+9y+MuDiX4d7y5BSK42smknXq\n1ImBO3M46eYcUVeu0mN84+lRW8LPz4/fxE7mj1u3c8pqxrCY6VtexTNadLOWeglXMgu6HXmQZkHf\nS61xn0pLS9iVtBaHswRV8Sd+0qJmly28H7y/awv/GO7+ea//9p2sX7i0wffm5uXx5aQECqZNrbc9\nePtO/j5hMuFhYZSVlbE8YQPFU+t/8TvLy1l24AjZ5WXsmjAW5Za0i0HJKfxqQAxRvd1nkGqO0tIS\nfrbxc44EB1LSMQRLcgqOvDyqJ8XhO2pUXfYpAMvhI7zVf5DbZU+qWs36xD10D+/MYC2K9xI28/fB\nUfXK/n1hzPZEftXAc+A/rlvLx+NGugzXWvft5+3BI4hoJAHLyi0b+eXBvQQuWYK1SxccRUWU7tqF\nz9ChdDuVzqrFyzGZTFzKusZLO7ZwKS4WU3AwzuJiuiYl8/PYKfS9ix82TVFdXU3Hjn6UlNiadPzt\n1ckeJk2ZBS0BuB2RANw0cp+aLqfwOo+nn8YxyPUZe/TW7fz50cfdvKvGa59/wmeTYusFMahZejMv\nMYX/XPAoUFMH+A8Xz1IwMRbVywtF1xl95gJfGj6Kbxfl4BzgOjt4TMIOfrV4WbP+FrvdzpsJmzhU\nXYlNUejjMLhUWIC+eEG9NhZv3kzgTNfpY4ZhsCxpD1+/rRcMrp+p6upqnv74fbLmzal3nFfacX7e\noROjBrrPtPXs2o+4MNW1F2oYBkuS9vBNN9f+gsPhYO7aD8kLC8WRn4/q64vv6NEoJhPOoiJeunCV\nWRMn1R27fncymaXFdPPzZ8GEOMwN9Nhb253+/7Pb7fxh42ek2qspNpmJsNuZ26kLS2rb/rCQZUhC\nPOQG9uvH2M0JJPfuVa835330GMv7Nb5s5pqiuARfAEVVybolBeKU4SMZNyCaNcmJFNuqmdh/AIOW\nx/L6+rU4J01weT/AOVPzUigahsF/rnqbw4/UJOAASL9wAaMkBO/b2qg0MkTc1KtarVZ+M+URXtuc\nwEk/H2xeVnoXljBMUVl5I4dXMk7hYzgZZbbyHzPnYalNkFHpsFOycyc4HBgOB96DBmHt2hVFUbDd\nIS+5w+HA4eWF77Bhru329ye/rLTutclkYkFcfBP/mrb1v598QNLkuLr/TpnAXy5ewpmcyNKJ8Z5s\nWrsjAVjcV86dO82upFP4+oQxcmSsR4st3C9+tnQFf9u0jn3VlZSqCt0dBsv6D2DcHWbLBjjczxYH\n8L9t9quPjw8rZsyqt81LVTHs9nqF779gbebs2R0H93N4zKi6L3WA6sxM/ONck08YNpvb/MzWg4eY\n34y0l906R/DaY09QXl5OdXUV6Vcu89OCG1QOrUn8UgB8WlXFldXv8eoTz5Cdk8OVrCz8li1F9fbG\nMAzK9u6l4uRJgjSNcXcYHrZarfSqtpHhZp/PgYPMuosEKG3l8rWrpEaE1/vvBDVrstedTuCxBvJm\nP6wezsF5cd+prKzk3fd/QVb+SgYMy8Snw07e++DHXL58wdNNa/dUVeXrcxbw9qJlfLJgKb9fvOyO\nwRdgYdRAzCddp/uY0tOZ309z8476loyLxXdvqst2w25niNK8WfH7b2ShRkRgOJ1UpKVRduAAli5d\nqDp71uVYrwEDKP7XvzBsN59TKucvsKjSRtfa+rzN4evrS3BwBz44k14XfL+genlxOErjaPpJ/pi8\nA/WpJ+sqPymKgv/48WC302HtZ4wb4tqzvd0TffrjfexYvW1GTg7TK6oICWle1jBPSE47ii3G/Wcr\ny9+vVSpWPUgkAIv7wvqNbzBlppX+UTXVlTqF+zNjbkcSU/5FG81jeOjERA3khSongTt34aysxFlV\nRWDiLl4or2ZEA89Ab9WhQwjPB4Rg3be/7r+RMy8Pbd0GvjWjeSk/LU6DipMnKdm8GXNYGF6Rkdiu\nXKE0JaXu3IbdTtG6ddiuX8dn5kxKP/gA0zvvMGZzAr/AzNdnz687X0VFBdevZ7ldWtWQSw303Ix+\nkey9cI4TivveXcDUqVzz9+NGTs4drxE/dDgvd+jMqG076LYzkQHbd/LixWt8f/6jTW6nJ/XqHAFZ\nWW73+VdU3vW68weNDEGLds/hcIB6BYsl3GXfoKFmjqUdYGiMpMO7Fx6fNIUFFRVs2JMMwJxpc/Dx\ncb+O2p0lEycx7noWq3elUKGqDA4KYfaXnkNVVaqrq8k4e4aQ4GC6dOna6Hliu/Vg1fnTBM6+GbgD\npk7FlJaG6fU/o4wfR+758wTNm1fXA7U++SR2w6B8w6a6zF+VlZW8sv5TDvlYKQnuQKfUZKZ6+fCT\nJ5e7XPPq9SzeTU3hukklyAnOsjK3bXNWVBBsseKoct+7UywWbD168PG+3W4ngN1udHTLyyl62riY\nYfRe9Q6Zt6UFNWw2RhrKQzsjuiESgEW7V1lZiZeP++eRnSP8ObbvMkgAvmd8fHxYMtU1KUVTde0c\nwXfmLa637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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have some convenience functions in the repository that help " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from fig_code import visualize_tree, plot_tree_interactive" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_tree_interactive(X, y);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vzRK74EJZ/Ik5RuYhM9izOwCuYeMLzDktP7nVEYLR+EusYvMmfkjnw1HB3Ox2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G136QIaq64JbTiGdACSkhKwXF3bkEg0Gqp9GAa4g+CX0aXkdIrzuvW/bo5CKN3LT8ES6dbV1ZQI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\n6K0LJpIO3CkZlbuuBgqKfNDABi29vgiAr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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n", "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n", "\n", "**Question: Do you see any problems with this?**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision Trees and over-fitting\n", "\n", "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.tree import DecisionTreeClassifier\n", "clf = DecisionTreeClassifier()\n", "\n", "plt.figure()\n", "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n", "plt.figure()\n", "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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+rlLbaOBT+OQTmBgF7pag3o/0q0X7te0Fzh/AfX0g1ZDPo6E4nSD7MBSE6dx2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\nMrYcmYy0X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BbXZgUwp7ZkFC1Y+Oisa0LTfNOEjMgTVfwX3noawTbHsFkqveV8vRs9AIjRE1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\nI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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ensembles of Estimators: Random Forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n", "\n", "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n", "\n", "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def fit_randomized_tree(random_state=0):\n", " X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=2.0)\n", " clf = DecisionTreeClassifier(max_depth=15)\n", " \n", " rng = np.random.RandomState(random_state)\n", " i = np.arange(len(y))\n", " rng.shuffle(i)\n", " visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n", " xlim=(X[:, 0].min(), X[:, 0].max()),\n", " ylim=(X[:, 1].min(), X[:, 1].max()))\n", " \n", "from IPython.html.widgets import interact\n", "interact(fit_randomized_tree, random_state=[0, 100]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8Bq0sYc4L0NwGSICiT+FEO5gxRGnnakkWqOZDL1to1wxSJ8BNfbU9HfZvhben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SS1ujfZflOI3xI+CL70IX/qvAAKgwEcACi5nzVo66a/7+vCf//wy36BEAdf3QQAoMdRFU+SNaGt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\nRpj+2JVLZ7dsue2lEbl5YCaD3s1Qouw3u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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n", "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.ensemble import RandomForestClassifier\n", "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n", "visualize_tree(clf, X, y, boundaries=False);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ODd6bLnbBhdL4E3OOzEVmsGc3C65k7XP89ue85FaHCmbjL7CM9ev4Pp0PRwTP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\nFyF0auX6Asmeeu1xJQoa7I/pPE4CcLw4JSA8wl1nprmfv73X1k0nbfc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PjvDV/CEQHulh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0lT4jt1Dcwew0ZGSrdtunIrJs63r307juNw93bFzTkLenVodO/ab86nc7i0dCaL4lZRrsjv3sNt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\nqtFMBwQRAwBYFApc/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GJr5TRrmzw1wXxg3+1Nt2+W9mUwyLy6OpOSwSRLl65My4VXRFi3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\nor93bz01Kuqlumq+/vr/kby9B3IzMhCyX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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n", "\n", "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quick Example: Moving to Regression\n", "\n", "Above we were considering random forests within the context of classification.\n", "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n", "\n", "Let's quickly demonstrate how this can be used:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.ensemble import RandomForestRegressor\n", "\n", "x = 10 * np.random.rand(100)\n", "\n", "def model(x, sigma=0.3):\n", " fast_oscillation = np.sin(5 * x)\n", " slow_oscillation = np.sin(0.5 * x)\n", " noise = sigma * np.random.randn(len(x))\n", "\n", " return slow_oscillation + fast_oscillation + noise\n", "\n", "y = model(x)\n", "plt.errorbar(x, y, 0.3, fmt='o')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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O3JRNoR3Y+/pJLa9e0FhFOnH4YM/rllyjQQ3cTW2MeaukRyT9Y2vts/1+39KS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\n", "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "xfit = np.linspace(0, 10, 1000)\n", "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n", "ytrue = model(xfit, 0)\n", "\n", "plt.errorbar(x, y, 0.3, fmt='o')\n", "plt.plot(xfit, yfit, '-r');\n", "plt.plot(xfit, ytrue, '-k', alpha=0.5)\n", "plt.xlim(0, 10);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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2Ebaf/wRpihVv//Uv8b73X6k9pYP3PfYLGkb6S7rUQiEywgWLiYoU40prlpAP1996LR+7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ElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example: Random Forest for Classifying Digits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.keys()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "dict_keys(['target', 'DESCR', 'target_names', 'data', 'images'])" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "X = digits.data\n", "y = digits.target\n", "print(X.shape)\n", "print(y.shape)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1797, 64)\n", "(1797,)\n" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "To remind us what we're looking at, we'll visualize the first few data points:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# set up the figure\n", "fig = plt.figure(figsize=(6, 6)) # figure size in inches\n", "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n", "\n", "# plot the digits: each image is 8x8 pixels\n", "for i in range(64):\n", " ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n", " ax.imshow(digits.images[i], cmap=plt.cm.binary)\n", " \n", " # label the image with the target value\n", " ax.text(0, 7, str(digits.target[i]))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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zJ4HDhDTfZ00rlupkzFT1OFkQAp8e96WNQDQhynrn6vFxT25sbGB9fd0lx9ne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\n0FMjkb9Tj4+6gGurVqu5DEKeBEM9pen0+kq9pEblOGuRRh3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8gf39fbz//e9Ht9vFu9/9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\n3UTuG1q3FzQ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+nw/VeDinZsNVrMkM+PTmtfPxccAX00bz+Xzo4rC1tRUeQL1et0qlEtqw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\nR2D0IxfWTWJQiDccqiybzaZdu3bNVlZWQlu2ZrMZFrU/x6parQbD1w9WZ15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k\nIAN5S8nA8A1kIAMZyEDeUjIwfAMZyEAGMpC3lAwM30AGMpCBDOQtJQPDN5CBDGQgA3lLyf8DEce5\n1rzpUTIAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can quickly classify the digits using a decision tree as follows:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.cross_validation import train_test_split\n", "from sklearn import metrics\n", "\n", "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n", "clf = DecisionTreeClassifier(max_depth=11)\n", "clf.fit(Xtrain, ytrain)\n", "ypred = clf.predict(Xtest)\n", "\n", "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n", " interpolation='nearest', cmap=plt.cm.binary)\n", "plt.grid(False)\n", "plt.colorbar()\n", "plt.xlabel(\"predicted label\")\n", "plt.ylabel(\"true label\");\n", "\n", "print(metrics.accuracy_score(ypred, ytest))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.846666666667\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise\n", "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``. How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n", "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\n", "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?" ] } ], "metadata": {} } ] }