diff --git a/Lecture02/notebooks/.ipynb_checkpoints/instance_based_learning-checkpoint.ipynb b/Lecture02/notebooks/.ipynb_checkpoints/instance_based_learning-checkpoint.ipynb index e656d25..8620ef5 100644 --- a/Lecture02/notebooks/.ipynb_checkpoints/instance_based_learning-checkpoint.ipynb +++ b/Lecture02/notebooks/.ipynb_checkpoints/instance_based_learning-checkpoint.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -14,13 +14,14 @@ "import matplotlib.pyplot as plt\n", "import scipy\n", "import scipy.spatial\n", + "from math import sqrt\n", "\n", "np.random.seed( 2503865 ) # We'll set the random number generator's seed so everyone generates the exact same dataset" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -40,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -48,18 +49,26 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python2.7/dist-packages/matplotlib/collections.py:571: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", + " if self._edgecolors == str('face'):\n" + ] + }, { "data": { - "image/png": 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388y/KKXUOaFB/ndmWRb/+MezvPaazBWTkxOHlC7uRAJ6V6TUcSlwN0VXZDJm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\n6tgXIjn1n8LCeOv99xkzbhzXX389yR4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SFOWcoOJ+gUhNTeWOO3oxb94C/P66BAJOpGjYQcQKr4mUEADxg2e1gEPExU2l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\nTyRhVxTlzLHb7YybOJEfEhI4bLNxD2I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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -80,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": true }, @@ -93,16 +102,26 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/RSmKcl5Qkb/IWJbFv/71LK++KrViXK7ySOridkTQuyCpjkuAP1N4RyZjfiUu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\noaLX6zcn3yALofr4+mFHbKWFyIKuq4C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"text/plain": [ - "" + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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zFEW5Kqi4XyeSkpLo2bMPixcvw+uthc9nR4qGnUSs8GpICQEQP3h6CzhAVNQM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\nuSoUIufxxxt8rnOOvLw88vPzSU9P58ILL2zwPDo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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -125,11 +144,20 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 6, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.2567409782146192, 0.2601231695617479, 0.26344550051116444, 0.26443723809041675, 0.26448305052448084, 0.2770240302248164, 0.27714643320624804, 0.27767076080196584, 0.27832688003753975, 0.2787115840742394], [135, 57, 32, 19, 171, 38, 81, 13, 74, 185]]\n", + "7\n" + ] + } + ], "source": [ "points_x = clump1_x + clump2_x\n", "points_y = clump1_y + clump2_y\n", @@ -138,14 +166,48 @@ "\n", "kdtree = scipy.spatial.KDTree( dataset )\n", "\n", - "query_result = kdtree.query( [0.5, 0.5], k=10 )\n", + "#### Note: The SciPy implementation of KDTree.query is built to take in an array of query \n", + "#### values, however the assignment 2 spec refers only to replacing a line of code\n", + "#### where the kNN query takes in only one query value, and not to replacing the\n", + "#### line in whichthe kNN query takes in multiple query values. Hence, the following\n", + "#### implementation of kNN with exhaustive search only handles one individual point.\n", + "\n", + "# dataset for the query\n", + "q_dataset = np.array( zip(points_x,points_y) )\n", + "# point on which we run the query\n", + "q_point = [0.5,0.5]\n", + "# number of nearest neighbors to find\n", + "k = 10\n", + "# array with the computed results\n", + "query_result = [[],[]]\n", + "\n", + "# algo\n", + "distances = []\n", + "p_x = q_point[0]\n", + "p_y = q_point[1]\n", + "# compute distances for all points\n", + "for i, p in enumerate(q_dataset):\n", + " distance = sqrt((p_x - p[0])**2 + (p_y - p[1])**2)\n", + " distances.append([distance, i])\n", + "# sort distances on distance value\n", + "distances.sort(key=lambda x: x[0])\n", + "# unzip results\n", + "for i in xrange(k):\n", + " query_result[0].append(distances[i][0])\n", + " query_result[1].append(distances[i][1])\n", + " \n", + "print query_result\n", "\n", - "clump1_vote = np.sum( [ 1 for nbr_idx in query_result[1] if nbr_idx <= clump1_N ] )" + "#query_result = kdtree.query( [0.5, 0.5], k=10 )\n", + "#print query_result\n", + "\n", + "clump1_vote = np.sum( [ 1 for nbr_idx in query_result[1] if nbr_idx <= clump1_N ] )\n", + "print clump1_vote" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -156,7 +218,7 @@ "[0.0, 10, 2, 11, 11]" ] }, - "execution_count": 45, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -176,16 +238,26 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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e+RelKMo5QUX+AmNZFn//+zO88orUivF4yiGpi1sRQe+CpDouBO6i4I5Mxqwg\nIWEtx48fJz19KPkHirxsBhYTGXmQlJQNJCTkbhPYv/9Apk1Lw7IKlgnO4WtkBezVSIS/C7GFnMgK\n12FARRyOudx/f1tGjXr1jL8HRVHODSryJYRDhw7x2WefsWfPXj755DMOHkzEsjohkfI7wDVIIbGC\nWMTGfoTPdxSvdzDhs2BWY8w8Bgy4jilTPs13pEqVGhw5cguhV8eCWDILgcEhjs1GJojrEBPzNWvX\nrqRWrVqnul1FUc4TuhiqhBAXF8fDDz8MwL33Dqddu06cPJlOVlYjJHOmTphPGtLT6xARcRCZRL02\nzHlLqVzZwUcfvVe4BWNDIvRwBAhf6rgqNtvPREevYfr0L1XgFaUUodk154i6deuydu0qHnkkiYoV\nv6FoARaysz3IKtNQfvhC4Bjt23ciOrrw9oI9e16H3b6hiNbXEX6QOU6HDo3Ys2cHV19duISDoigX\nLyry55Bq1arx0ksvcOTIPq64ogGwLcyZFrGxW3E4nEjt9y+RCdslSP2acUhmTDOqVQtt5TzxxKNE\nRi4ndF7/ViTFMtSCrWyio9fzxhuvUa5cuRDHFUW5mFGRPw8YY3j66ceJiZmHVJgseHwlFSrYGTjw\nVuz2w0i65ZWIYKcCScBwYmK28cc/3hHyGo0bN+a998YSFTURp3MOMqBsISrqf8TETCc21oUx68n/\nROEmKmoa3bp1omXLliHbVRTl4kYnXs8TlmXxwAMP8+GHk8nMbIVlXQa4iY5eR3T0fn76KRljDK1a\nXUV6ek+kPEEO2URGzqJNmzLMn/89xoSff9m5cyejR49hzpx5RETY6d+/D8OG3cOxY8fo338QO3fu\nxbJqY7NlkZ2dwqBBg3j77dFERkaGbVNRlAuLZtdcRCxYsIBXX32T1avXERMTw5AhtzF06BDKl5fc\n9sWLF9O37wAyMyPJyIgnIsKH3b6BLl06M2XKp5QpEy698vRYvnw5K1aswOVy0aNHD+Li4orjthRF\nOYeoyJcy/H4/s2bNYuXKlbhcLm644YZCm5MoinLpoCKvKIpSitGNvBVFUZSQnJbIG2N6GmM2GmM2\nG2OeDHNOkjFmpTFmrTFG94ZTFEUpAZxS5I0spRyNlDG8ErjVGJNY4JxySF3bPpZlNUbKGSpKqWTt\n2rUMHTqcK664kvr1m/LnP/+VPXv2XOhuKUpITieSbwtssSxrp2VZPmSn534FzrkN+MKyrL0AlmUd\nKd5uKkrRV2kvAAAgAElEQVTJYMyYsbRt25mPP97Ktm0d2bKlDaNGzSMxsQk//PDDhe6eohTidGrX\nxCObieawBxH+vNQHHEGbJhZ407Ksj4uni4pSMliyZAmPP/40mZmDyVsIzuutiddbn379BrB9+xYq\nV6584TqpKAUoronXCGSD0V5AT+BvxphQ5RYV5aLlxRdfJTOzDaErfdbC76/L++9/cL67pShFcjqR\n/F5ytxEC2XWi4B5ye4AjlmV5AI8xZj7QDEgp2Ngzzzzz2+9JSUkkJSWdWY8V5QKRnJyMZd0a9nhm\nZl1mzJjNk08+cR57pZRGkpOTSU5OLpa2Tpknb4yxI9WtuiPbCC0BbrUsa0OecxKRzUV7IpuZLgYG\nWpa1vkBbmievXLRUrFiV48dvBSqEOWMjHToc4uefvz+f3VIuAc5pnrxlWX7gAWSX6HXAJMuyNhhj\n7jXGDA+esxHZeWI1sAgYV1DgFeViJykpCWM2hj0eFZVC3749zmOPFOXU6IrXC4DX62X8+PG8/vp/\n2b17J2XKlGPIkDt55JGHqFat2oXunhKGJUuWcPXVvXC776CwL7+D2NhpOvGqnBO0rMFFhNvtJinp\nWtatO4Lb3RaoAZwgMnIVMTHb+OWX+VqnpgQzduzbPPbYX8jKaoHfXxepELqRiIgNTJ/+Bd26dbvQ\nXVRKISryFxEPPfQo7777Ax5PPwq6ZcYso1697WzcuKbIcsLKhWXt2rW8/vpbJCf/REREBP3792Hk\nyBH5NlYvSEpKCh9PmMDBffuoXbcug//4R6pXr34ee61czKjIXyRkZmZSpUp1MjLuIvTkXYCYmHF8\n990XdOjQ4Tz3TjkX+P1+RgwbxuTPPqOJ308Zn49jkZGsBx7/85/52z/+oQO6ckp0I++LhJSUFGy2\nWMJnZ9jw+eqwZMkSFfkSRkZGBoFAgNjY2DMS5ScefZTkyZMZ6fHw27YsXi+dgXdefpm4qlW5b8SI\nc9FlRQG0CuV5xeFwEAj4gPBPM3Z7Ng6H4/x1SimSyZMn06hRc8qXr0jFilWoW/dKPvjgA07niTQ1\nNZVx48bR1+2m4L5bZYDebjfP/f3v+P3+c9J3RQEV+fNK/fr1iY2NpPBashx8WNZGevTQNLySwJNP\n/pWhQx9lw4ZGZGf/mezsJ9m2rRUPPfQs99xz3ymF/rvvvqO2w0G4vbziAeP1snLlymLvu6LkoCJ/\nHrHZbDz11JNER38HuAscDRAZOYeuXbtQt65WhLjQLFu2jNGjx+F23w40QP6r2IC6ZGTczuTJM5g7\nd26RbWRkZBAZCBR5TozNRkZGRnF1W1EKoSJ/nnnggfu5++7+REW9i90+D9gILCE29kMaN7YxefIn\nF7qLCvD662/h8bQEYkIcjSQjoxWvvPJmkW00btyY3UA4mfcA+zweTZlVzimaXXOBWLt2LW+9NZYN\nGzZTpUolhg8fwrXXXovNpuNuSaBRoxZs2NCS/GWb8nKY6tVnsm/f9rBtWJZF08RErti8mRYhjifb\n7ZTv0YOvZs4sji4rpRhNoVSUYqZNm84sW3YZYtWEYhdXXLGIlJR1RbazevVqru7UiWZuN638fmKB\n48Bih4M9FSuyeMUKatSoUcy9V0obuserohQzd901iJiY8ALucq1l8OBBp2ynadOmLFm5kssHDWJM\nZCQvOhx8GBPDVffey7Jff1WBV845GskrSghOnjxJ3boNOXy4BZbVCsgbRK2hfPn5bNq0lri4uNNu\nMzs7G7fbTWxsrNpyyhmhdo2inANSUlK45ppeHD3qIz29LmAoU2Y70dFevvtuJk2bNr3QXVQuEVTk\nFeUcEQgEmDVrFrNnz8HvD9C9exI33HADERG6WFw5f6jIK6WW1NRUxo//kE8/nYrH46Vjx7Y88siD\nJCYmXuiuKcp5Q0VeKZX8+uuvXH31dXi98bjdiUAkERE7cDhW8vzz/+SRRx660F1UlPOCirxS6vB4\nPCQk1Obo0U5A4wJHU4mO/oSZM6foHsHKJYGmUCqljs8//xyvtyKFBR6gPG53e5577qXz3S1FuehQ\nkVdKJNOmfRPMaAlHIxYsSD5f3VGUixYVeaVEEggEKPqfpw3LKrr4l6IoKvJKCaVHj6uJiQlfFwY2\n0apVu/PWH0W5WFGRV0okd9xxB3b7bmBriKMZxMQs5OmnHz/f3VKUiw4VeaVEUqZMGWbM+IrY2Bk4\nnXOAfcARjFlCdPSHjBx5F3369LnQ3VSUEo+mUColml27dvHmm6P5/POvyMrKonXrljzxxJ/o0qXL\nhe6aopw3NE9eURSlFKN58oqiKEpIVOQVRVFKMVpKT1FCsGXLFt4bN44dKSlUT0jgrrvvpnnz5he6\nW4pyxqgnryh5sCyLRx9+mPHvvktTv59KPh9pNhtrXC669ezJJ5Mm4XA4LnQ3lUsMnXhVlGLi5f/8\nh/8++yyD3G6i8rzvA76KiiJp8GD++/bbF6p7yiWKiryiFAM+n4/4uDhuTk2laojjGcBYl4ude/dS\nsWLF89095RJGs2sUpRhYvnw5UX5/SIEHiAHqOBzMmTPnfHZLUc4KFXlFCeLxeHCdYoNtp2Xh8XjO\nU48U5exRkVeUII0aNWKf10tmmON+YFsgQIsWLc5ntxTlrFCRV5QgcXFx9OrZk1/CZM+ssNmoW78+\nTZs2Pc89U5Tfj068KkoeDh8+TPvWrSl/8CBtvF7igOPACoeDLWXK8NOiRdSrV+9Cd1O5xDjnE6/G\nmJ7GmI3GmM3GmCeLOK+NMcZnjOn/ezqjKBeaKlWqsHTVKvo88QRfV6rEc8YwsWxZ2o4Ywco1a1Tg\nlYuOU0byxhgbsBnojtR7XQoMsixrY4jz5gCZwAeWZX0Zoi2N5JWLCsuyMOZ3BVCKUmyc60i+LbDF\nsqydlmX5gElAvxDnPQhMBQ79no4oSklEBV652DkdkY8Hdud5vSf43m8YY2oAN1qWNRbQ/xWKoigl\nhOLKrhkF5PXqVegVRVFKAKdThXIvUDPP64Tge3lpDUwy8mxbGehljPFZljW9YGPPPPPMb78nJSWR\nlJR0hl1WFEUp3SQnJ5OcnFwsbZ3OxKsd2IRMvO4HlgC3Wpa1Icz544EZOvGqKIpSPJzTiVfLsvzA\nA8B3wDpgkmVZG4wx9xpjhof6yO/piKIoSkEsy2LevHnccuONNKlfn85t2jBu3DgyMjIudNcuGnQx\nlKIoJZJAIMDwoUOZOXUqLdxu4i2LdGBNTAyZFSsy75dfSEhIuNDdPC9oqWFFUS4Yfr+fQCBQ7Jup\nvPXmm7z+l78wyO0mssCxn+x2jl95JUtXrbok0ly11LCiKOedWbNm0bV9e5xOJ67ISJolJjJhwgSK\nI5ALBAK8/MILdAsh8AAd/H72bN3KkiVLzvpapR0VeUVRzpjXXn2VwQMGUHnRIv4aCPC0ZdF40yb+\ndv/9DBsy5KyFfvfu3aSnpRHOjLEBdT0efvjhh7O6zqWAiryiKL+xbt067rvnHpolJtKmaVOe//e/\nOXz4cL5ztmzZwrN/+xu3u900RfKwbUB94PaMDGZNncqMGTPOqh+WZWEzpsgFNyZ4nlI0KvKKogDw\n1htv0KlNGzZ/+CGtN22i4Zo1TPv3v2lYt24+W2TMm2/SPDub8iHaiATaZGQw6j//Oau+XHbZZURG\nRxdakJNDAEhxuejSpctZXedSQCdeFUVh/vz59O/Vizvd7kLivQmYU64c2/fswel00jwxkVbbt1M3\nTFtpwCfly3Po+PGz6tPL//kP4559loFuNwWndBfbbOyuV4/VGzboxOsp0EheURRe/ve/aRdC4AEa\nANWzs/nggw9I6tCB/Tt3UtQGiB7AFRlquvTMePSxx2jVqxcfxcSwAjgIbAW+jo5mTZUqTP/220tC\n4M+W0ylroChKKWfeggXcV8TxuhkZvPHyy5Q/coQugQC/Ao3DnLvW4eDmgQNPec1AIMAPP/zAtm3b\nyM7O5tcVK/hiyhROZGRQKz6e+//0J8Z//DE//vgjb736KrM3baJc2bIMHjaMIUOHUq5cud9zq5cc\natcoikKZqChGeDzEhDm+HJhts/FgIIALGAO0R+qQ5yUFmBkby4o1a6hVq1bY682ZM4e777wTm9tN\nFZ+PQx4PB4A2QFekfsriqCjKJCby/YIFxMSE69mlgS6GUhTlrOjZrRuRP/5IyxDH/MB4pxMfMDQr\ni0jgGPApMtF6JWIJrAeORkXx7Zw5dOzYMey1fvrpJ/r06EFft5s65JasPY5sVtEY6IxMrk53ueh+\n33288vrrxXOjFykq8oqinBH79+/n7TFjmPb55/h8PmpdcQWLfvqJoR4PZYLnBICFwC+IiDuAdKAp\nUq3wEDAbOECuUJeLjaVps2YMe+AB+vfvj9PpLHTtDq1bU235cpqF6Fcq8DbwCOBCBpMJsbHsP3wY\nl8tVXLd/0aEiryjKabNgwQL6XX89DXw+Gnq9RADb7HYW22xYQEe/nysCAZKRTJl+QNXgZ08A3yN2\nyknEWtmFCH5boFrwM6tjY4mpWZPvFyygYsWKv1177969NKpbl4c8nrATgp8CMciE7xXA+7GxJC9b\nRoMGDYr1e7iY0OwaRVFOi7S0NG7s3Zve6en09Hq5HNnmrbPfzzCfD6fdjr9zZ6bHxbHLGP5IrsAD\nlEVE3wW0ALxINs29iMjXBJoAt6WnE7V5M3f84Q/5rn/kyBHKO51FZnyUQzJpFgGvAyc9HiKLIVvn\nUkVFXlEuISZMmEBNvz9kjns5oIPHQ5TLxfW9e9POmJB1Y2xIBL8d2VzieiiUx26AbtnZLFiwgJSU\nlN/ej4+P55jXi7eIPh4BOgJ3AUOACL+fr6dNO807VAqiIq8olxDfzZjBFW532OMNgfkLFpCyaRNV\nA4Gw51VF/PMYZCu4UDiAy32+fPVlKleuTFJSEsvD5LfvQ6yfHGOmCnCnZfGPp58mMzMzbH+U8KjI\nK4pSiLhq1Ugt4ngakllzKpPYZlls3rwZgAMHDrBo0SJGPvIIy8uUYZExZAXPCwBbgM+AnuRfwFMZ\niLfZmDlzZr62dX7v9NDFUIpyCXHdDTfwwc8/0yRMNL8B6NK5M0OGD2fYd99ROz2d5cDO4PFaSC77\nQsR7X4akPlYI0VYKsBnY8sYbjB41CptlUSEqiky/H5vLxfqqVVlw7BhVHA4OZ2QQC/RBongvEtHb\nkKeGsj4fhw4dYtWqVbz43HPMmDkTr89HYp063DRoEEcPHmRHSgpV4+MZOnw4nTp10tWwQTS7RlEu\nIdLS0qidkEDv9PRCvnwaMM5mo9/AgTRr3px3x45l944dtEZsHAsZBFYAPqTqZAXEQ+8BRANRwbZ+\nCf50zfPZ9cA8IDv4XgSww+kksnx5jh8/zp98PixgLrAGqBg81w24nE5GPPkkb736Km0zM2lmWUQC\nU4DdQBtjqGpZpBrDmuhomrdvz5czZpSatEtNoVQU5bTw+XxcVq0aqceO0RiJxh2IVbIQyZ5pDBy2\n29nk93MP+bNrQNInJyATtamIEDsQ4a+BZOusAkYE28vLcSQP3iCDQpPgnz/a7Vzl97MNEffueT57\nCPgKSLXbud3v/63G/ALkSeEOyDdBnI0somp1yy18MGHC7/iWSh4q8oqinBY333QTM6dN417gV0Tc\nPUAGcDWy0CkKmIVE2teEaWc2IuR1gTjEmtmLiLcBLgcGAfYQn/0eWVTVBimXsAWoZ7ez1rKoEQhw\nJ4UnC73Am0iKZkXkKeJzJAOnSohrZAL/dbnYunMncXFxWJbFmjVrOHDgAAkJCTRq1KiIb6nkcTYi\nr568olwi7NmzhxkzZtAEEXUvUAZZVRpA0iF/QBYgHQZuLKKthsBKJI1yK5JGeSci6nsQIZ8C3EJh\noa+PDCI1gj9LgaV+PwEkdTJUNkgkcBWwGBlMliGZPaEEHmSgusLhYO7cuVSpUoVHRozgyIEDVIqI\n4LDPR/zllzN63Dg6depUxF2WDlTkFeUSYerUqVQBdiDCXDv4+zVIBO9EovplwLbTaC8WicjvJf/E\n62WI4H+IPC0UrIfjI7+Qt0KsIh+FraG8VAPKI5Ozq0+jj45AgOXLl/PB2LH0ysykXvC6AWDDhg3c\n0KMH02fNonPnzqdo6eJGUygV5RIhLS2NTL+fGsCDSETcF2iNCDzIStZOQHVgXRFtrUe89KaEzqyx\nI0XGloU4tgaol+e1DbF9HMaQVlT/EaumerDtNOSJJBR+IMXvZ/LHH3NDZiYNyBU7G1JU7Vq3mweG\nDSviiqUDFXlFuURwuVxkIjbMPkQIG4Y5tydioxwIcWwfEqFHIh55OC5HbJ+8bEEmSwtG91lAhMPB\n4jBpjwFkwMgpahYNJAI/Ipk7BVlit5Nw+eUYj4c6YfrXENi/Zw9r1qwp4i4uflTkFeUSwR3ceNsO\nHEX88HAzeVURa+RDxD/fHfz5FvgYeQKIRiY4w14v2P5aJHqfDExDJmRjg+ccA74DNgKVsrJIsSzm\nIwNQDl7g6+D18gp2D8T/n4gUSfMgmT/fREayplIlho8cSVwR92gD4iIi2L17dxF3cfGjnryiXCL4\nsrKIDv4ehVSRDIeFeOQBxBb5Jvh+JpLe2BARyXmI3RNKSFcgE6M/ILaKAxgGv20x+DPwE2L59EX8\n/ZVIYbKFQF1jyLIstiMLpAaRPyqNQmrbvG6z8UPVqhw6doyK5coxZNgwHnz4YdasWcOxU9zjMb+f\nqlWLmgm4+FGRV5RLhGbNm/NVmTJw8iR1kOj4KFCpwHluYCYiunbEXqkMXIcI/npksrQekIyI+NXk\nF+CtSLaOQQT6eiTt8u3g62OIldMDsWByPtsGiex3ATscDupeeSWOlSu5idC2wxEgIiKCJk2a0LZT\nJ4YNH07lypVZvnw52dnZuCMi2I1MBhdkKxBbqRItW4baKqX0oHnyinKJ4PV6Sahald5padRGVqSu\nAm5HFjaBCPx7iNfeFZlU9SLZLHMQsdyDiHx3JLKfFPyzMTKBm4II+M2IsHcItvcuMmhYSPTuQAaQ\nDGBg8LOpyOTvJCTib9mvHz/Mnk0bj4cuBe4nCxgf7GNDYI/Lxa9+PzFRUbgsizI2G7vdbiy/nz6B\nADmZ8RZSpuHrqCg+njKF3r17n9X3ej7QxVCKopwW33//PQP69uWqzEyaWxbLEcvkciRaX4/43n1D\nfHY7Ir43I3bKPmTyNScjJhJZ7docaITYBKsRTz4WmXRtiQweeaPytcD04PlVg+1lBc9JcDqlbk4g\nQFx2Nu2Q3P69iN1TK9hXG2LzLAYGwG+rYrOAZcaQDMRFR1PVGI4Ygz8qitHjxtGvX78z/QovCLoY\nSlGU06J79+7M++UXnn/2WUbNmIHf78dhWdiRKDsdSArz2dqICGcj4nocieYTEVtmM2LdHEAidZBo\nPAPJaa8RbLugUjVG7BkHcC0SaW8DvgQaZWXRF5jlcuGtVYuUqCgOHDzIsSNHqBkIYEd8/CsQ66hg\nzr4T6GBZZNlsONq25c4hQ0hISKBr167YbJdG3olG8opSSjhy5AiTJk1iz+7d1IiP59Zbb6VKlcJr\nQk+cOMHEiRNZuXQpFjBx4kQeysriJPAR8HgR1/gGsVR2AXdTeMVpJjAOia5rI778NmTRVU8kyg/F\nAST75uE87+1FSg//Kfj6g9hYRo0fz/333IOVlkZzRMS3Bq9RD8i/D1Uu6cDYyEgOHz9OVFRUmLNK\nLhrJK8oljGVZPP+vf/HCv/9NdcsiLSuLY8CjDz9MvTp1ePuDD+jatSsAX3zxBUMHD6a2MdTIyCDT\nGJw2G28hfnsWkr5YsBSBF/HX1yC1aqoA7yMFxq4jd2eoKKAdMnHbD7FUrkNEPqaIe4gJXjsv8cji\npy3I00KT9HTuGzKEKzMyuJrcJ4K2SNSfM4GcHmyrTJ5+xQKRdjtHjx4lISHHzLk0UJFXlIuc0W++\nydgXX6Sx18sWxPNugKQ/rtu2jb7XXsvzr71Gq9atuefOOxmUmUmN4GePWhar/X5iEcvjKLAJyFu+\nKxvJRa8IPEKuWKcjefOTkMnbHPOjNuLzTwTKVqjAEo+HmMxMdpJ/pWtedhN6h6k4ZPNwEOsn2+3m\nassqZPnUCPZ7K1K10oUMTE3JtYgys7MpX748lxoq8opyEXLs2DHef+89Jn7wARs3b6anZTEPyUPP\nGzG3Aer6fPz18cdp3qIFHfMIvA9Z2NQxeB6Inz0dEdy44Hs55Q1yJjhziAX6I9k4m5FoG2RRUgxw\nKzDB66XPXXfx6cSJLDlxgnbkLoTKIRsZFNqHuk9k0AA4aAwVAoGQOfkGWQh1Q7AfdsRWmo8s6LoS\n6HnddcTGFrx66UdFXlEuMubPn88NPXtSMyuLGn4/hxBLowOhLZEKQDOfj4ULF/J/ed5fi4h5mzzv\n1UMKln2ApD1ehkxsXkPoPHU7YpesJFfkfw3+Xg5o53azc9s2Dh87RqVy5Xg3I4PeSK0ag/juc5Ao\n/coCbR9BvPr6SFS+1Gajjd9PQTxIeYOh5A5MBNu8AalFv9DhYNlLL4W4g9LPpTG9rCilhBf+9S+u\n7dqVpMxMbvb7qYRExvsRuyUcdfx+7IhHnYlEz5vIzYLJSzNksjMeWdHqJvxm3SD+fM7q2fVIiYJW\nwdeJyMbgHo+HTK+X7sjOTy8CLyCWzp7gNfNG6AeBTxGrJRWYEh1NYpMmZITY6WktkvYZV+iItNkF\ncDqdNGjQIMQZpZ/TiuSNMT2BUcig8L5lWS8VOH4b8GTw5UlghGVZpbvqj6KcZ8aPH8/L//oXlckt\n8FUJEXgXhScu85Jz7BVkYtWPRP2Xhzk/MniNn5CI+BihRRTExw8gmTlHEH++TJ7jgUAgJzuEK5GB\n5SRiC8UiEfxMJKKvFrzWIWQSdz4yKNh9PlwZGWzx+2kZPC/v9eOLuPfKgD87m9TUVCpVKri+t/Rz\nSpE3xtiA0UhK7D5gqTHma8uyNuY5bRvQxbKstOCA8C4yya4oSjEQCAR49qmnSPB686UtVg7+2JCF\nR9XDfH4FYtv0RyJvL2KrfB98XXC/V5D/1FWQfPhFyGRuQT88gGTQlEHSI3P2bs1hAxDw+Th27BiN\nExNZt24dexCf3yCDjwdJffQiA1aA3IGjPmInlfX52L9lC26nkw+Nobtl0YzcJ5NAmPsm2K7P7yc6\nOrqIs0ovpxPJtwW2WJa1E8AYMwnJjvpN5C3LWpTn/EUUPbAqinKGrF+/Hs+JEyH/Y/VGlvfvRUSx\ndoHja5EUxkfI3Wg7EvmPHYfs4PQn8ouBF/G5vUjUvxeYgaRD5hgmmUgEnoZ49vULXDcVeRKoY7Mx\n+s03qV2vHv9bt45a5G7blwG8Gmz/RLBfTZCnh1bBPuZQD7giK4svnU7Wx8XxzZ49GMT79wT74KAw\nvwLXdut2UebHFwenI/LxSIZTDnvI/90X5B4ks0pRlGLC7XYTbbdTG1lV2pncqLoK8p9uJuJx10KE\nMoAI/C6kFEEoiauFiOQ3iIBHIJO4yUh0n7Md3wHgS2NYAyQEV8juRFbA3oLkqTck/8bgixArponP\nx9tvvYUrO/u3vV9zJgNjEMvmDnKfSHYjqZCtQ/TXBnTLyuKj48epFR/PtXv3UgP4ItiHm8jdAAVk\ncJsL/L1Lwco3lw7Fml1jjLkaqf4ZduPEZ5555rffk5KSSEpKKs4uKEqppF69ehzOyqI6kvq4nPwi\nWBER8vFOJ+WbNGHBypVUDwS4AvG3i5pyrIcMBi8jA0PZyEj8gQAen4+vgEybjRM2G6PeeosOHTpw\nVevW9PD52IUUFisDjAj2aQ4S+ccjkbgbsX1ivV4yLYsuFM72aIbUnLkh+HovMsCEywqpCJSx2ahZ\nqxZ7gyLfF8kIegUZaGKQwe0IEuG/9vzztGzZkl69ehXxTZQckpOTSU5OLpa2TlnWwBjTDnjGsqye\nwdd/BqwQk69NkQG1p2VZW8O0pWUNFOV3ctstt7Br2jRaZGfzMVKEqzmymcZO4BdjuPv+++nYtSvP\n3n03t5w8SQbwJvAEhVex5jADSHE6KVuxIv8dN462bdvSpX17TuzZQ3OfDxdS4XEjMOadd1i5bBmT\nx43jgNfLXwhtkYDYJFsQ0e6JlCj4O4XFOwOZxGuBpIGuRJ4cQhVJy2FsbCzPv/EGTz30EEMyMggA\nbyCTvrsRr78KMrhFIN7y+sREft2woYhWSy5nU9bgdFIolwJ1jTGXG2OcyNPW9AIdqIkI/J3hBF5R\nlLPjjTFj2F+9OoucTv6A5LHPQzz1nyIiePP99xk1ejTXXXcdO30+TiARbTVkAjQUPqRUwatjxrBj\n71769OlDr2uuofru3dzr89EOGUj6eDwM9nh4eMQIHC4XJ/x+yiN2SDi2IE8GJ5EByYFE9gWJQR7/\n1wKv2mxsi4lhXbBvodgLRERFMXjwYPoOHMin0dH8hMxFXIYMFEmIVZRjVdQHdu/cydatl548nVLk\nLcvyAw8gtfzXAZMsy9pgjLnXGDM8eNrfkKeoMcaYlcaYJeesx4pyiVKlShWWrFxJt4ce4osyZfg+\nIoKjTif9br+dVevXM2TIEADKlSvH/SNHMj06Gg/i389GbJu8ZCPb8ZW12XC73dhsNpKTkzm8YwdJ\n2dmFMmnigE5uN2+98gp3ZWfTCRlkskP09TC5+7lGR0WRgYjuyjD3VgYR9abNm/Ovjz6iWYsWzHU6\nC2XNZAJzoqN5/K9/JSIigrffe4+nRo1ic8WKIecccrABZR0OUlNTizirdKJVKBXlIsSyLDIzM3G5\nXCFL5vr9fh647z4+/eQTGng8eBDLohYS8aYjEfxlSKnfPS1b8vPy5Tw0ciTrx46lc5j/p1nIQqan\nkInfd4N/XhNs24dE5D8iZYMPR0TgbtSI6A0baOrz8SGSxpk3ZdOPWEYHgSZduzI7OZnU1FR6duvG\nwS1baJyeTlngoN3OyshIbh08mLfGjMHk2fR75syZPDRoEIPT00P22wOMdrnYvns3lSsXtbSrZKJV\nKA9GNeAAAAseSURBVBXlEsMYU2Tet91uZ+y77/L4X/5C62bNSEhPpyPiy6chqYp3INkxu4GMjAwA\n3BkZOIsIxHL890Dw90jE+56FRO8Gmci9BVlotT87m28PHiQjKoqqPh9/QHzdCshg40Hy+y8DLnM4\naNVOlteUL1+en5cuZdasWYx/5x32HTlC/cREXnnoIZo3b05qaioLFy4kEAjQpk0bevToQabLxfb0\n9EIppABLbDau7d79ohT4s0VFXlFKMXXq1KFLly5kf/NNvho1edlps9GslRQiaNuhA/+dOhWCol/o\nXCTlMUfsLaRiZW8kIjfk94Bzzps7bx49unUjcPw4TZEBYRG5hcxigfF2O1Puvx+A7OxsZs6cyVv/\n3969x0hVnnEc/z4L7A1c0IIICCgCQQQ0FBEUWhZQQIxrBZNCXANVJFANDbVUjJWSaggYUQtFJWIs\nhRZUNCDVFlMB0bAq4Vq5X7KUXYNyE1iWZWGf/nFGdtnrEdkZOPw+ySRzeWf3mTczvznznvO+Z/p0\n8vLzaX3ddYwYNYoOHTowdtQo/jZvHi1TUkgCcouKuGfwYGa+9hq/evBBMgsL6UQQbicI1rzZ3KgR\nOTNn/tDuiwQN14hE3Mcff8zwe+9lREFBhXHrAuCN9HT+tXIl3bp14/jx41x7zTUMLSiocPLrM8C8\n5GQKgBGnTnEAWEMQ1AOq+N+rzcjIyuKt997j9OnT9OvTh41ffMF1xcV0J/gV8BWwKj2dPz3/PGPG\njuXQoUP8rEcPcnftwktKaEkQ1vlARoMGNC8uZkBR0dmlEwqBFcnJFLVtywszZjD5qadYu349GcnJ\nfHfqFPcMHszU6dNp3bqqRRwufhquEZEqZWZm8kB2NvPnzqX3iRO0I9gC30YQrmPGjaNbt+Co+wYN\nGvCPt99m2JAh3FZURJeSEtIIzu+ak57ODbfeyhc5ObxEsCP2JMHwT12gL+cue3AMWJOWxpLfBeea\nqlu3LtNeeIFp06axavlyXo/tBO1z++0snDyZfv36AZB1993s2rGDvgTH2n9/6OcRYMHx4xRw7to4\nacDAU6dYmJvL7t27WZmTw/79+zl8+DDNmjWjYcOGXM60JS9yGXB35s+fz/PPPceWHTtwd26+6Sae\nfOYZhg4dWqH9hg0bmPrssyx+/32Kiotpf/31PPrYY8x6+WWa5OXRq7iY7/cIfA28A2QA9xEM12wD\nPk9P5zcTJ/LU00+Tn5/PLwYPZs/27bQrKiIJ2JmaSuMWLVj84Ye0adMGgC1bttCtc2e6njlD/0pe\nRyEwnWDy1VXlHtsObOvUiTWborc24o/ZklfIi1xmTp48iZmRkpISqr27Y2ZMnjSJxVOnklVUVKHN\nCWBGUhIpsZ3Bd/TsyW8nTiQzM5PCwkK63HgjrfPyuOP06bNj9k4wXr6hcWM2bd3KlVdeyYsvvsiE\n8eMZx7lb62W9TzDWP7Dc/YeAdxo3Ju/bb0O9rktJbU+GEpEISU1NDR3wwNlDFWfPmkX3SgIeglm3\nP61Th9FjxnD42DGWLltGZmYmAAsWLCD5wAF6lwl4CIZ2upeU0PTYMd6YMwcI1uiBqgMeShc2K+8g\ncE3TpqFf1+VCIS8iNXJ3vj54kOoitHFxMXt27Khw/19nz6ZTFUfrAHQuLGTu668D0Lt3byAY56/K\nfiqexMSBdenpPPr449U88/KkkBeRGpkZjRo0oLr5ot/VqcPVzSquaH/kyJEK53UtqwFw9Ghwuu7e\nvXvTKCOD1VW0LSCYbFV2wbWTwLLkZOq0bEl2dnZ1L+OypJAXkVCyH3qItfUqX46sGNiUksLIRx6p\n8FiHjh3Jt6qHk/OAtu3aAcGXybtLl7LWjE8492xX3wBvJiXRsWNH5qWm8lZGBosyMpiZkkLzgQNZ\nuXr1ZXtikOpox6uIhLJv3z66dunCbUeO0NX97BbiCeCDtDTa9+/PoiVLKjxv1apVPDBoECMLCih/\nhtZiYG79+syYP5+srKyz969Zs4bhQ4eSm5vL1cCppCROpqTw9KRJPDFhAocOHeKzzz6jpKSE7t27\n07x581p61RcHHV0jInGxbds2hg0Zwr49e4K1apKS2Hn6NMOGDWPGK69UukPX3Rn98MN8tHAh/U6c\n4FqCna75wIr0dDrfeSdvvftupWvw5ObmsnnzZurXr0/Pnj2pV8UviahTyItIXK1du5Z169aRmprK\nXXfdRZMmTapt7+78ZcYMnp8yheNHj5JkRr20NMaNH88TEyZQp05Vq90LKORF5BJRUlLC3r17cXda\ntWqlcA9JIS8iEmGaDCUiIpVSyIuIRJhCXkQkwhTyIiIRppAXEYkwhbyISIQp5EVEIkwhLyISYQp5\nEZEIU8iLiESYQl5EJMIU8iIiEaaQFxGJMIW8iEi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"text/plain": [ - "" + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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FPU+3jGmaAcMwhpGZfjHKNM1NhmEMCbd/BrwBfGUYxloktfLPOYX9auepp/7IqVP1CYXa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\naY3rw59NRKhrI1Z6lVCIRk2asHHTJo4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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -210,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -321,16 +393,16 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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2qZwexrFcJDJCbxUgfbrhVnZhzVEbeU0fzoVC5AKbFx7HM/gb/Bk+wHzV+g8+\n+ACf/nQfdu40dym301KOQtMwOtFkWmsvrfN70dRPSPMhTDBirbRkU5UBN5vFY489ZmkmsBUUmvAh\nEfew5rqHs5lEG3MUAH8PYAk/Nf3+15ZK+LnFb51oKZ1sE5RPWKvhNdM4IXEh9rXSSPDUZcAtFDA+\nPo7nnnsOzz77bJ2ZIO6CgmgY1hwsiqKgB8C0rrE0oQ3A8KjVt3b+abqG0YEPm5VPWIvk9xKBrdmZ\nwhFJCLHOfE3CwUoD9Oyzz2J4eBgnT56syt4qSlBQFAVZAJn9+5HNZqEo8cy+w3xawZLL5TBt8/3N\nN9+cWJ+pVoPZtKPDmIU9zvfTJEAfI+JaAyQiGqdKSzUxEes3SxZ9DBaz+XcbAPWmm/CRu+7C0NAQ\nUnv2hN8x4ppm0CYn0RTYzOlVooCCEXGtARIhKCTNT4lFH4PDbP7dCWDvgw/i8Msvh98h4pmkm52T\nagpM2v007lAwIp40QH4FhWZ4syRiyOfzGC8Uqsxpd3V0oL+/P7I+EW8kPbeTaAHDLGO6zoobnQCA\nGytcN1tHbRb25fXVWdiJM4QJRkHUSiPhUJsB90P79kFVVTz66KOBlQJJ+pslEUcqlcIIgBxQycD8\npaNH0dHREW3HiGuSbnYW/cJmljF9GXGlgmqzsOvUZWEnVRw6ZL4+1rXSSHjoGXAVAD1vvhm4rTrp\nb5ZELCmgOicUhaLEkmSzc1Jf2Hg/FQuj0kgVOSD4qJJr15Bqb8fIyAhkAJkdOyDLcuzt+KR5URQF\n2YMHYx8hSYIlqRGouqZOlmVkMhneT31CHyNSxavYCNRkHgbMbdVebeTrF0u4ePEi/p/JGbThd/Dx\nDTfwhQSp20lwKNCEc2n/fmzcuBFfGBwMfF4k1eHWCkVRkMvlMDs7G5gpvFlJsimQWdjFQcGIVPEJ\nzOMHJuvNbdXebOQz35rBI488gjdmZnAVQPE48OL3v5/YBxERgwKUEz0CXRMTAAzzIsD9NlNEj5ew\nbV0Y1bPeJ0UQCIokmwKJGGhKI1XkgcBVyYODgzg/M1O1LqgkcEx65pzKuQIiOVc5oBKZtrK8hJEc\nsJkiJAeeegrnXZjC9azjBWh15QqFAnp6enidkJYmUbXSqCIOnhQQeMXw+fl6Ux0g/kHEpGfOmZmZ\nQc/nP798rsplYcI8V+biiWbGPYY+HAhov3FyuLUL73bCzHeK6ARwtma9Vdj2Cy/UZx2fnp7Gzp05\nbN1qry2Emt63AAAgAElEQVSzLrrrrGgvsFzk1/S7UxIAoHuPat9IADjtvx2j5b9WxycSu7EgHlBV\nVciiNRUcxWJRTafTKoDKkk6n1WKxGOh+bXFyzFNT2pIEAGfH5JMne3vVrvIYdpUXAKosy41/vLSk\nLQ6QZblqvsBsP/oxuxzLYrGoyrKsdpfbM52HUY2923GcmlKf7O1tfK6CBFBlw37r5kWA87LhvcXv\ndeFmHvg8TuO15WQcu7u7TccdyFRdGmZLF6bULkyZfrcSS+pKLFn+VgWq/lptY/d9kEuj/jtZwuy/\n3Vg06yLm3EJV1Xp5JjE+RpH5AVzTJHGsoiQuiv7+fkxOTuLszAxKyALoxLp1v4j16/c3zLmxfrEE\nAFhc39j27yzp2dPoREnLN+KQOk2UiXYlaWUFwtLi2ZEHMA5UaTAqZtxCIbD96g63f/DZz+LV117D\n0ooV+OhHPxrY/oLEeG3p2JnCrbRlGza0YetW+33pWpU2U61Kg/vlKWDPHqAbKvbYbANo24WP//t9\nN1QAsD4+gdiPRZNyyv/cOHXKfL1QwSjIRFJRZPa8cEHB2N/34/2fzWPNHV3IZPJYt2754dYZoHq/\nmeno6MDRo0fxh0ePYq4wjDZZRj7/KFKpdY1/bFUB3QRHSc+sMnzZ0EhIT2KU08aNG03Xh2lOSgGV\nRI837diBDRs2hBKVpnPp7FmsWVzEDICXXnoJb775ZuCO36KpurYcmMLNso6n02mMjOTR8LS7uBbr\nkIDR0cbbAA62I/7GIqk4mUONmpAsvjBTI3lZtKaCw5FZRCCOTHdOjpmmtHqM58Tt/lycT8dj6PS4\ny/u2Mj9kMhlVVcOfq3W4HcepKfX8iRPRmqprddy14xzC/aULUH8JUFfWjpnf6yJEU5qX+00Rmhkz\nAxuzcO1vikVV7u1Vu++/3/FvqnBynGHdj5qBJD1nRCFgbiDpprSwM3s2Uwhvq1LJSSLYkbyRs66I\nKKewAw06OjqWz1WhUNbiid+n2+PSt/9n9GHVfS8gk8lg3ToHmkWXjI3NYhZAF1DlvDw2NoeBirm1\nOanKOu7g3pZEjSghrjCTlrws27Zt8y29NUJ3eM1kMt7eUlzQSCugqmpDidX3W1XYNJnGyBEeNEaN\nNFF+NUa+Aw08aIzC0M7YHpeJxihMLZY+Zkan78qYNbnGyNU1oArSiDq5dwL2wQ1kGWqMPDZhrjES\nJhj19fX57mSccBzRZEEso+gaQcHI8b4rQrrJjdvv2Otzb6WZWcfNMTklSMHIEEVoe02ZCEZhRsrp\nY2YUjOqENq80mWDk6KXRyT4tSOS9M0IS9wIuCprSwsev6Y6muNZgDn348et7ceTIh7Fs4UnhwQdH\nMHryKVy69EPc+qFNyGTyGBpyZmbQAw06y5+rzDoDTlrwZ/rxm0vHiDGK0DaAAk9jBW7gbpTw+2XD\nTpiRcrrZ9a/6+7GwsID7E1QKImyCzvvEe6dzaNYMBgpGFvitmdNM2XRJNXU3ozeGcPlyuuZmlALw\nNU/tO4qms6MSaXfM0/4PYAgY8PZbI4qiINe/nLJg27bbrY+rVB8dGHakXCqVwmGWgmhI0P6evHc6\nh0JkMFAwssFPzZw4ZdMlHrDJXxX0zUh/8CCkQIMgMHuTveuuu9DR0YEZsxw7JnmK+vv78eL3vx9a\nwAVxRtCFVnnvdA6FyGCgYBQQYUfREe8cQx9K6AQGlteZJZJccaMTgHVOLVE3o1Qqheeeew6f/9f/\nGhfefx+d69fjueeeS5Rq3Ex4PH/+PPbu3Yvdu3c7ihIMK1KOuMfrS2MlKhHWBWt573ROKwqRTuaQ\nb8wcj7wsYUSlRYKdM6PDqLTMjh3JcIqj87Wqqo2dGYPOU9QMUWmuHXRNnK/DzGNUwWx+0flayL7c\nzGs9Ks1NbqVWpNUc1UUfL4KOSkNYN66w8SEYNfx93KBg5OjCC/pm5FvwcjGOpkKggDng+hgoGC3v\nyw8xFow8zwliS+JewH0g+qXUSjCiKY0QA078h6oSRwZg4hGSIBJALpu1TaRoGdEC+C6DQXMIqYX+\nMMHgxxc2aYQ1h24S2hrxjKIoyGazyGQyyGazUBQl6i61JE4vvFQqheHhYZwEMDw8LNTG7ddvQAHQ\nA6BQKGB0dBSFQgE9PT2VOaXPtZ07d5oLgbXteZibuvAo9/Yis2MHZFl2HEKsAMgePIjM/v0tcy1U\nzjHQtMfciv4wRCxWc+itt94Se92YqZG8LGhWlWcIprTY2IlpSvOm7heMn/mg+2ZYHYNZ27VLpsbf\nytfcdDpe5TEoAmq6pj/pdFotNrEpTej1H2NTmuvjpCnNOUly2fBBo/uX2+sGFqY0SfvOP5IkqaLa\nihVnymWLDSrKild8oYD2RmYUk9/X0veZz+BrX/86rtesl2U53FwUeqnhoMfReE4kyd3+HJxPNzwu\nHcEktmsf9nTjyhUFb7z+KVy5Wqxss2ZNGvfdN4K1a+vHePSUhO49/s/XzT/X0gN8cJOWHuDKFQUL\n5/px5foC1LVb0NmZN92/sR8KgF9ak8bOq9MYNdlm9eoMbr65DT/7WX1ovJGdSGH1Hu34T5/OYmGh\nfvsNG2Rs3dp4bm66rI3XO7c0GK9TWo9P40+wgG/VfS0DGA7j/mI2v3xcF1oup/5KLieze0U2m0XB\nJF2Bp+vfy/VhLDEe8LWo3zsdmaDDuh81A4Lvi3FGn0MnCgWYpYB1c91IkgRVVaXa9cJ8jLZt2yaq\nqVhT7ZfRBxQ68c1vHsf+/ftNi1vqId43Vli3OfOdYlXhSh3nmY5F0dzFMs2YxHacQrf24RQApHA3\nnsUF/Ae8j58B2ISrV/OYmLAWSk6dcrYvFRIkmN/ku1ACAJyFfmNLYSX+XwDA9UursLDQuP0cgKtX\np2GubAaWltqwtGRuKlwmjf8b09hcOSbz7RcW5jC/YH08OivL+btrhf56ust/6xM9AkASvVCcZiUW\n5TehKApyBw/aCmFRo5ugUSg4KlhLSC36HNpaOIF5E9FIxHNTmGC0fft2UU3Fmmrn3CEAwIULwOLi\nBAYHzS70+gSBtRz8/zbiHZN7o+NMx6LwmTE5aIK48W/H5PKHPd0AgE2XOwA801jLAaAbKvY43dkp\nYI/Fxpsua3/bbjGubTx3jG3rU8hMH6RpvfIolXKmQtbKlRuxbt2n0NmZxyNrU5VjOn263XT7DRva\ngAXr41nG4TFUNEYrYCYDJtELxWkiUBG+N35KQyjQhOpA88IQIphPYB4/MFnv5rl5yPw9TJyPUbMV\nka1QY7sVUkCxhvMnTqgPdHTQx8iGwPywzPwrgrLX2x2r330Clr5FnZ2dlfPk9jzabi9yrsTAx8gy\nf5XH68LpvULE3PYaxlwsFs3Pt5N9+5mzTs4nfYyc0yI+RkaK5bnq57qBhY8Ro9JcEkRkRUdHB44e\nPQpZlpHJZFxF8LQKdm/fRCMPLSTeSDqdxsmTJytzqRIt5nCuud3eLykAI0B9NFsge1tG17gUjh/H\n6MREXSSfF5zeK6rOMeDpHHs1x+VyORivqpUAzvO6IgkgBQR2b2IeI5eIzs9Sax76yle+QoHIBOZA\naYx+o2hUw6ri5+G0XZfb+yUFCMvLUgmUsMnnBDQwe3nct5t7RSqV0vpWKCAzO4tcLufKpOX1ha32\nuuos/3Xip+HEf9KKTvS1lC8jCYbA7k1maiQvS6uY0lS1rHKXZd/p6mMTpq8TY1NaYGU4msiUVmk/\nLLV6AKa0yiIg87Wb68vW7OXjunCalVjvq+rxXuD1XlJ7XXWVF1HlbSyhKU0sLWhKEzE3EHS4/vbt\n29XJycnGGyYNuzBIt6HmNQgN0xVBjMP165xLob19+1admoUqBxX6anesfvdpHLuwQnd9zv/ath7H\nM5XUCXd/4iMAgLdv/SgAb2kR3KQasNt2vrzea1qGu3/6JoDqY6ltT9+/CsAYO9woLYIxzYPbFA+A\nlhbi9Ylfx9Vy3F8XgLs6OvC3p04Fq7l2MncYru+cFgrXryDg/hN4uP5rr70mqqmWgeYh51TKcDQw\nE5HkYkyd8EuvasLE9w3fO0mLUJ0SwTrVQH2kXR7AOFDlcZPGwkIeepyf07QM1Si4A/8bPsA83se9\n5f3ApD1vaRGq0zy4T/GgGS7/EUAOt+P72Nu7Cf39/ejgdUVaGPoYRQhT5LujlWoCtSLG1AmbflW7\nBn6xnL6g22laBENKBLtUA1u31q5N4cqVEZRKOSwtzWH16raKxqW7LJQ42r+BK1cUvP56D967qgtb\n/4w1a8ahXNXEEWOqA72vta+ujdIi1Kd5cJHiQefU2wA+i+2YxOHDv+3+94Q0Gcx83YgATWmBmYe8\nEoLqui4TcKGAVISZr2lK84FgU1oVU1PaX7fHYOhT1NeXpakc0By6DefOtq+bNwc3b4Dqc+/1vHvZ\nJ01p4qApzWMTAZvSiHtazTxkmoQOwIiiNO0xk+ioXF+5HObm5tDW1hbq9WVpKjdZ12r3AkLiDAWj\niGkl85BpSHR5fSTO5iFRCRkHMwuHTdipBoxYmsottm+lewEhcUZYgsdWqZVGvNOKzuaVxIGFAkYB\nIYkDSTLI5/OmCTe9ZTwjhISF0Fpp3d2iWgue2mrmVujOje/cUv/dKCDkmO32YYXT/jfCGDo8Wl7n\n5pjc9OP0afM36LfeanO8T7fnqnH/XgGgOf4ecdakK5zWyyLNh6V5bPNmIe0noWgsIUlEqCnNWzhr\nNNRXMzentjp4bYV0EcfsvAL5Mk777xTjcbg5Jnf9qA+JTgOYXsg7DC1uPB7u+9ftbMceaUUtmV8U\noGke+EbzmLJy5bJJFUDeh2+dn6KxhBB7hApGjSttxwfzauZm1GgaDOHAjkOIG+Je6+O8/w0oC0F7\n9sBTWLK7ftSHRK/vzGNTgyR01ViPh6f+lau6a6Hi3S764QymZHCHAqAHwPTx49qKJnngz8zMoOfz\nn6/SHo739Hg+LmoiCQkOoYLR6KjI1gKmHN3oWuEixeQ4vfa/lnKgoudjct2PFOC5+pQJjcajUf+k\njOHD40K6ZER0bb1mJ4fqFIuAiwf+tWtBdcs3g4ODQgUZaiIJCQ5GpRHP0MehMVUh44UC2mSZ58kG\n88e9wwd+qYQX8Dt4fUBkj/yz4kYnXn79oul3XgUZaiIJCQ5hglFT1kkjliTBxyEuglslZLxQAGjm\nsMX8ce/8gf8wXsTDA8K6I4hVmFI6cPbt+m+8CjLURBISHMLC9VkrLTwURUH24EFk9u9HNpuNJPTb\nzschDlTC5I8fx+jERKzD5OMwnnEhD80h30gzPPAtQ/c9HpeuiZR7e5HZsQOyLMfqpYSQRKOqqpBF\naypBTE1pi1siPs5isaim02kVQGVJp9NqsVj01qCWVN31z7q7u6v6oC+ZTMZbP7xi0XdZlk37J8ty\n/e9rz4HXueGhr8LG03gMQfXfbJ8i2yovRUCVe3vVzI4dqizLjs5FsVhUn+ztVbPlMfZ8PQRIsVhU\nZVlWM4AqA+Z9NBs7u/MsYqyN10Cc5o7He1NLEta4xQkBc6Mst9TJM/QxShhxiUaJu49DUpxT4zKe\ncSIFuMoArWsHbyqfx7OFQuzMukCNSVVbEW2HCCGmCDOlkXCIywNftGlANHEX3HTiMp5JJu5mXUJI\nsqBglDDi8sCPu49D3AU3nbiMZ5KhcElIc6EoCrLZLDKZTCR+l8JMaayVFg5xikaJc9FLr9XKw45k\ni9N4JpVWFy5nZmbwh3/8x5idnUV7ezvTQZBEUxfxDIRvGjdzPPKy9PX1+XaECpWEOl+ratmJ06Vz\nqiV+HRyjdvpr1PdG/TM6/Tp0hNadaLu7u92df4u+ChnPJnK+dusErI9bF6B2iQhICBq7a86l8/X5\nEyfUBzo6/DnvJ9H5emlJW4hG1PdhgbgKnPEJ6HzdPMRZU5NknDhCB/E2w/H0h64d/Kv+fiwcP477\nE5xEc2ZmBoODg3j10qVl7Y/N9oODgzg/M1O1bnp6GgNPPYWhoSFglb8i01FzDH0oDdSvX79YAgAs\nruf1AmhJRAHgxopo+yGCsTFz0/jY2BwGBpY/d6IPBwLqAwUjQso48VVhFFk8SaVSOHz4MHD8eGKT\naCqKgs898gjOz8zgbHnd+Pg4Po8+/GzA/Dcvv36xXCa5mpnvKPjykyWHgsPT6EQJBzDkqd9BcgBD\nwMCx+i9ElURqGpItABs5d64dpVL9+l272qoEIxwaAnAskD5QMCItzwv4HcxiExYXL5h+/+MfL1+Q\nTt9mzAjyDSdKFEXRqsZH6ONS8Q0D0J7NJlJjlMvlqrQ/KwGcn57Ga5jGsJlwAODcOfOM2h//+AZ8\n8YtwJjgcOuSlu4QEQhz8LikYkZbnYbwIAHjopSJ6euovyJdeyldSzjh+m6lBURTkDg1hKPN2UznI\nxsFRsq4PMc1jZMTMRDQ2NltVK66z/PdV3GnZjtVDpL+/33WfFCAWJXRIa1NVX3JuDm1tbeHPRTPH\nIy/Ltm3bfDtChUqCna9VVRXnbJcA52tbZ2eBztfGfWUyGVNHaC+Zqh39xu95jMj52ugoubK8wMxR\n0kFbXp2AHTtrxgWLa672OHRncrnBHDeds27mQDnbeLrm/AXqwO7X+bqJnI2JR5LgfM1aaSQIwtZI\nVLIT23zv9m1GuF/StWva34gda4+hD2Njy3aczvLfs3BmWqzm6XIbzn1ddBPeN77xDdPvk5bHyEz7\nc1dHB/I1ztW1mM7ZM2fMN7YgB2C6Zh1950irQlMacU+ID+Y4Ojs3Ep5qsXLqNgoPbqJKzCNydAfa\n8DiAIZzYJXsyLdbh0s/FTGCuJWl5jIxC9/T0NH4yM4PLd9yB3MwM8ooSqCnBfIYmT7gkRAQUjIhl\nSKwVxgdz0GGijZydk+DQbJWAsFp4cCFkmkXkVASLY2665omKszWA23/6U9x11104f/585XthjpLX\nrmmLiQBuJjAbSWqSzFQqhXw+rwl9s7PA7Cz+C4Dxnp5AfabMZ2jyhEtCREDBqEWwixyyDIm1ourB\nHKzWqKGzc4Ahm6KIQ5SFKOo0NS+9hI6ODuzduxe3z89jw4YN+MLgoOcH+DH0oYROrPhqJ+5YPIOf\nrzAPOTcTmG8DsBI347fk/yHRjsNRaEnzAMZRbU5L6hwlxC8UjFoAWz+dCPvlhGYQKiomks2bMZfJ\nRBNlIQizh/bMzAx2796N5//8z7UVPo6r4l+UHwDOlIVuk5BzM4H5TgB78QEOJ9wnJorabykAIwBy\nvb2uSugQ0oywVlpcEejHY/sG6rv1YIlF6KYAUqmUdq5Pnoy6K76IS8FWK0fl/gaOykkgqtpvKYAZ\n2AmBQMFo+/btopoKHD+FQt3643ilUcp7N749tn46ETjtusWtszMJjrgUbDUTmL/0yCPo+NSnQu1H\nEDSDlpSQJNNyprQ6s9LEhKvwb9f+OF5pmPLeuSbJ1k+nFJ7TLkk+tg/t69dD7UudwOwyRD2uVIS+\n/n7NrPXd7yIf42SVhDQbN0XdgbCxMys1K/l8Hul0umod30CJF/SHtizLyACQZTnWGaaTil5Y+OTz\nz2O4/JkQEg4tpzGKi49EmDSLnw6JBxVNTaGQ2IKtJH7URs5+CUBH1J0iLUnLCUZx8ZEIG/rptB5x\nKO5KiBPMImffBXAUFI5I+AgzpU1OTopqKlBoViKtwMzMDHp6elAoFDA6OopCoYCenh4oihJ111oa\nRVGQBZABkM1mOR5lcrkczk9PY6Vh3XkAgybbKoqC7MGDyOzfz3NIAqHlaqXVOTbGMF+Hn6g5QgBg\ncHDQXZLAmNRfa2YqWhF9RaEQaN2/OFMb3Ts2NltVaw8ASgD+ARurfuc3eIYQJ7ScKQ1YdmwEELt8\nHbzwiVsURUEOwD+jD6vuewGf2r0L33j9oum2VsVdG6WHMCMJ5VjiRBzr/kVFbXTvuXPtmChVb3Md\nwH2Yr1rHc0jCoCUFozjDC5+4oVoLMQS8MYTLl9P45W2/jLNv129vWdy1YXoIExJQjiVOtGLgh1Py\n+Tw+9+1v47whQWcaWqkSI812DukHGE+aM1xfLz6ZQJrtwifBYiVIS5Lk2JdOhM+GaL+PZvQjSXLg\nh6IoyGazyGQygY3HbV1duLp+PTZu3Ih9+/ZhBKgrWZTkc1iL/lLTrH6AYcyZoBCqMTJ9E40AJ2YB\nr1XhgzYfNNOFT4LHSpB+//33HaVoEGG6FW3+VYCmNCcnNaO1ba1FAeNh1v6bb76JP8YzULAd6F7e\n9sqVPNasGcfVq8vbrlmTxtmzeXQbtksCp0/nsLBQ/1Kzc2cOW7d6tw7c/HNNKfDBTdH5C165ouD1\n13uqxunv/m4c9903grVrxVzDo0BgYy60VlocBCNFUZDrd+K47G7S6CrPUyjgRPaDwFSeSb15kmiw\nE6SdpGgQYboVbf7NlX8vqr24UFVMGECbLMfCdPI4nsEktJJOm7LaunduWf7+3PefwsKPxD7ARwF8\narf2AH9jylxAmEMH7sAWbDGsX7s2hfvuG8HbylNYuvZDrFq9CZ2deWEP2zBZWjJ/qVla8mcduPNq\nCQDwzi3mioHRUxK696i+9tGIUilXJRQBwNWr0yiV/Al9YdFUtdKCclyuazfAaJJGUXO0SRMjfgVp\nEaZb0eZf89aCMSeHfT1VigkDDZNjzszMYHBwEK8CaM9mQ7nW313TWbdu45UibsFytJhO7QPc7QNX\nf4D/s4WAsAr/Dr+L38eR0cdrvkkB+Jrj/cSVbLYdhUL9+oceavOXN7WRv6AEjI76aN8BmcwsFhbq\n1//yL88JrKOtYtRnC5Jk1bSqCln6+vrUqJFlWQVQt8iyHMt2bZma0hYDxWJRTafTVX1Ip9NqsVj0\nvh9AWxxSLBZVubdX7b7/flWWZX/7FkGjvpucRyNFQJUBtbs8noEej4vzbEvNMRWLRVUG1IyHY/A1\nt8vHI+T60OdheTzM2uvs7FS7u7utj3FqyvVcFn49OcHBNVcsFtUHOjrULg99c32NGs69GU/29lb1\nw3J83c7v8jy2nD8u701JI7D51+CeF8Y5jeSZ6QFNBKqXZyTtO/8cOHBALZWOVT5HYeecnMzg4sXR\nuvW3357B9u3exdSg2rVj02VN7DeqQ0+fzmJhof4VY8MG2ZV68soVZVkVffFm/DZ24qj6Jw1/Z+YL\nkE6nI/H9qLzpFwpotzNJ6IVFa9IyKIqCJ554Av/5pZdw1bA+0OORJO1W7xezY9JffVy272tMy8cj\nZF5IUsWkcwU/xBtr/ghXrhYNG9wM4IPKpzVr0nX+Cpsun8Hwf723TmthdS8SdT255tQotmMSR9Ra\nTcgy2WwWE2V1glFTI8uyrTnR01gYX5tN5s/Mt76FRx55BN8yRoyZtel2fpfnsbJyZV2f77rrLvzK\n+fO4CNhf3wlHv48JLdVkcc+rIOo+ZEOcnhV2SJIEVVXr9EaBRaXdebVUUZWGxerV5v4Wq1dbOy6P\nnrLSpflr1y/vrumsU2uLsEnrTnHzP/o6fnLxFBbwLfxH/I2jiIG4FOCtiuYAXEdz6L9/qUYoApq/\noHAtlaKwvb3I7NjhqSisiDaMrMV/g093PYvUHb+ND9++B6tXd8IoFAHL/gpGzMxAgPW9KCgfDxF4\nNU8GcY12dHTg6NGjWuHgTEZ44eCqwsSZDPbu3QtVVfES4On6ThK6H+DJkycxPDwcK6HBD6LvCaFj\npkbyshhNaVGZW9yoJovFoirLsiMTSmQq9xpEqCf9tNHd3W3620wm4+ewXGN7DEtL2qJjola2+n3g\nxxOQKa3Stp/2G6nfzajdn5c2jG0ZF0NbvuedRb8iU/c7GCtZltUuoM6E1ahvns5VA1Oa43H1aEqr\nJSlmmNgSA1Oa474IpPJMtzO31wALU5ow52u9VlqUmZudVpF360wdl+r0IiLW/DjKxiWVQPUx9AHl\nYgJjYyl8+ckSgOVUDWZpGcbGrNx7NZgaIV4ENe/iHAFqmvDQQd/ico36gbncgqHifoDwnPnDQnhK\nCTNpycsCCHTEDJgk9NEKXSrOZDKetHF+jj3umrN9+/Y50lTaaYwCPR4Bb2qW2tgm1hj5nnc2/fJ7\nPXnC4VidP3FCfbK315VTvadzRY1RcxFW4I7HvgSB1zkDC42RMOdrSZJUVVWRyWQwahILmMlkcFJc\nnF5jbIpixqaPIVAbjvzYY4/h0UcfrX5LBjBSLDqSrLU8UdEW4DV7O+jo6IAkSTh//nxlnZWzX+3v\nbwOwAsDuvXtx5MiR4I7Hp9OjrUPj5s3aCq/tN3LYNKP2eLy0YWzLyNRUVVsVJ9VCwX3+Hz/9CgKn\njvJ6v++919W41l6jjz32GJ599lnMzs7i9ttvh6qqeP/995fTE+hzx6RPeluOClp7dL42C4xIguNu\nbDE5r9lsFoVKboBlLfvHPnYfHn744cC6suKG9hy+sSLYIKyhoQxKpdG69Z2dGfT1WT/TDx0yd74W\nKhg9/bSKF17I4o036iM9PvYxGQ8/HF5ip/WL2uQwy379wgsv4I03Xi9/KgEYAtA44iNpWN1gnnvu\nOTx7+LB24/zud5EHkBJwQwuT2gflpUuX8PLLL9dtZzWmxt9/HEA/gI6AIzX8CkbVN7dlZFnGsL6+\nSQUjy306IQbztYqABSPjb80ivoyk02mMTE8vl94w7Me1gOJibBoJXIqixC4RZmIwme/NrgywvTfa\nPNOtotKEm9LiYm5ppD6PRR9FUetwXMZWvTg1pZ4/ccJbDh+H6lEvznCuKc87zw66jcwIAfTVK7bH\n2MSmNNt9OiFEB1An9OMZdQ9eUffsUW0X+VenVPlXtdxMD3xySX3gk0sNf1P72w0b7AMNAKgb8IDa\nj2fqzq1r84TDsXF8/w3rumw2XAScNIt50uszHRamNKG10oD4OCrbYezjq4WbsfJje5HJZDA0tC7q\nrnnCqjaclZPx2Ngc/uAvbkeh8A0s4GkAJaAwFHj9oyCd8JvB6bQRrXCMZBlj+oHpt34Xl6/PA2u7\nKlm/kSUAACAASURBVCUw7DJN67+1SklgZAnvma4PygladAkZ0pg4BxqIQLTcIbRWmrGTcZ/glT4W\nJOD1Y1F3xx8WKeDPnWtHqVS/+a5dbVj4yZNY+EkBwDMADgA4gOlpYOfOq9i61X53my5rf431lGox\nFkhcWV4nokBiLaPQCgm6KS5ZnfDvFfTgH/C/40vC+hQUtjc3s9oCJJYcwRPaP6ONzE6roCgKtvSk\nUZo+rq26NIHbbtNeMLDZrrSD5tNhVXbCyEP4Ho7ge3XrgxLEGXUWPlWCgxc/vQQgUu4QluAxDrXS\nSDX5fB7pdLpqnf4gtbo5Xbu21LBds+STtRjfVNdgWQK/fLne18FJks1G6MUlN/7i7+HDt+/Bhg2y\naSXnK1cUTL/1u3hj8pM4fTqLK/ih732HReKTphHX+E3YaHYPMJJOp2GlM7C7f/iBms9oqCSTBJoq\nmWQQCDelkfhgp15cvjk9UfWbBx904oDeOMLA+KZ6qeqbN3H0qFJTSsBPUUNjIUH74pK6ea/0XvlB\nc2kCt6GA3/e66whIpVIYPnxY+xCSMzELF0eHX+1K7T3gQx/6EKRLl3DxZz9bjio1RqWZ/VZwFGqz\nm3VIE2DmeORliUMR2SqCyr0RRzw4lwbtgF4sFtVbb73VmcNfSGNg5YD4ZETO156d00PMfG07T+h8\n7Q0XY2XrNOt1vGvPR6MAhADupXo+rsyOHdZzn87X3ohT5uuYg7Ccr0kyqLwNBhQSm0ql8NGPfhTj\n4+N137nxJRCprbB6+17w1Jo/RDunP45n8CZ+Gdh9zVPhZiu/sdOnc7iwMI2VAK6X1+m+YvNAlf+W\nE98za14BAGzHJPrxBHIHDzrLndPkNKtfWRSaT0KcQsGohUmlUqgYzQJwlk+n06aCkVNfAtHCg7lv\nwzM4i/XIAnine3mtVUV2P4xiWZAwOqcDmoP6eYfO6WYCyDn8LlIo4u6rJbxzS+MHTW1Ek5XP2NLS\nLPRvzlatrxduG/mdOeEifoweANPHy87GIZYUiiNBmbMIIdYIr5UWBxRF4RtnDPDrS2Ab1vvcc9oK\nk8zmbvpzO4AVuBPv1myrV2N3ImS4ZfSUhA/f3l21rrP8d8FBZXczAWQLzmnRdcMH6qITTanz6zI/\nj9lsOyZMFBMPPdQGDBv9u6zbcISU0fYHoNY9v9VDualdISRchAlGr732mqimfBFlEdtmw68Zy+nb\n7jH0oTRQ/3u7PEy1xWId9ggPPjiC0ZNP4dKlH+LWD21C5g0Fv4JJHMBQdfi0RQoEf5QFCQl46CHz\nMOqHHmpzoLyrF0AUKYMcgMz+b1W9DPgdQ6/FTL1ilXWHodyEkNAwczzysiAmDl1BZWuNNSKcXmsQ\n6pzt0RmwUeZuIQ61Vo6nQTrsAnXntwtQH+jo8HR+i8Wimq45R+l0Wj116pRzx2kbKsVMgyy0Wh4D\n2SI7c+X6bTHn6wpWDvdeiIHztaN26XztDTpfOwYWztfC8hjFBSYPE4Pn/CnXri0X8PVJUHlU4kAl\nJ5EsI5PJYG9vL44ePepJq5nL5UzNT319fZUxXFle3OTAATSt4R8ODuLV+flQstjnoRU1NtIsYy4K\nRVGQzWaRgVYjSlGUqLtESFPRdM7XTB7mHjNTlp0Za2DA9CsA5uVJVtzoBADcWGH+m0704YDJets0\n73qhxAAIy0etKlOrj+Oxehn44Q9/Uvm/s/z3LLQxPGZxzo1EYZZOARgBkOvtpbOxCXVjUihE7ipQ\nMdcCaM9mOV4k+ZipkbwsiIl6zrUJKCb99kUApjTPRQdFFCN1QkCmtFAKDJsdr4/jsRqrzs7OKlNd\nl8scOKEWnmzhPEaO8lmVj0HImAg0pfm6XmhKCwaa0hyDoE1pxlppUcKyCWJoZjOWHX5LMERBPp83\nNT8NDQ35GsM4mKUrZqNMRjMbhbbncFAUBXv27EGhUMDo6CgKhQL27NljaR6Lw5gYSeL1QkgjhJnS\n4lQrjeGt/hFdrTgp2D144loaI5VKaeYnAHOZTNVY6WN407lz2LBhA/YePOjY7BGlWXpmZgZ/+qd/\nimP/9E+4evVqZf04gBFFicV5F8ETTzyBGUPEH6Ad+xNPPIEXX3yxbvu4uQrETVAjRARN52NExCGy\nWnFSsHrw3HbbbUKTTYomBWjJOk+erF6vj+GZM5iZmUHm0Ucd+6dEVdNKAfC5Rx7B+ZkZXK35bhpo\nipxGul/fiRP/xfT7EyfGq3z5dD+99eu/jHXr7seFC+8BKAEYilSTGzdBjRARNF1UGiFOURQFWUCL\n7il/tjIhSpJkbTIQGIkXJIODg67MHlGYpY+hD/vwMXx7ZgYli22aQRtxAEMYGAB+4RfMv7/1VmBg\nYHnJ5Vchl1+FwcF1ePXVXsjyOWQwFLmrQKua3ElzQ40RaUkq0T0AgD4AnfjmJ45j//799UkgM3m8\n/PKjpu14STZpFYUXNPPz86br7QSNsM3SBzCEISzXZTOjmbQRO3fuxMsvv1y3fseOHZa/qWgBC4VA\nSvm4ocrkXigIr7lISBRQMCItSbXT6BAA4MIFYHFxomym+VrV9ouL7SiV6tvZtasNX/xi+YNTueHQ\nEIBjrvvsl40bN5quj5ugYW6c0UgDTaWNOHLkCCYnJ3H+/PnKurvuugtHjhyJsFfuiJOgRogIhJnS\n4lQrjUSDoijIHjyIzP79sU8859ZptBlMBv39/Yk4hjxQ18+1a9di3759GAGaShuRSqUwOjpaZa4c\nHR1tqmMkJGk0Xa00Eg1Jq1Hn1mk0yGSTYSWU7OjoSITZIwVY19iTJFdtJaGgdFyiaBUAuWw2dlGX\nhISNpOU4EtCQJKmi2hKC/rBqdKORJC2NWJJxeqxm6A8an+cgm82iYFIVVZblxhFEXsbAzzHDRJCD\npqXwJMi57YvheIX1o9E41vbRzTn3ea4dUSvwqKr5fl30W+gYi8RsrLycY6/3LpO5oADoAapKy1TO\n1fXrzvrmtj+NjlnQvanlcHJeeU4BAJIkQVXVurctRqURISQtn0kl4gpaVJoMRPLAZIK84OC5dU4O\nMK23l6SoS0JEQedrIoQk5jNJpVIYrl4Reh/CEChNzUnCWo8vSRPWo+RVbARQH7U4NjaHv/pr7f8f\nbbBvI6poS0JEQ8GICCGqZIBJJ2iB0tL3C2h64SiJwnpUfALz+IHJ+l272vCFx1dpHxpZ+SKKtiRE\nNE1XK41EA2vUeSPoaDdLc5KQ1uNNEOe2rnZbjCMv3ZAHTOvt8cWGtCJNWSutlYhT1I3b6JpK7TE0\nrtvVrFSi3cwisARgaU4S0nq80c/tH3z2s3j1tdewtGIFPvrRj3puz8yZO86Rl25IAVq9PVkWHnVJ\nSNKgKS3BJC1E3khd3xvU7WpmggzXtjQnCd1LvLl09izWLC5iBsBLL72EN99809M8s3PmTnrtNqBc\nb68JjoMQv1AwSjBJvlEnue9JwtL3a7o2BikZ6MVXnfLCCzn8oKZ6/fT0NPbty+Hhh93Ns7Exc+3b\n2NhcVcHXxjyNTpToqFxDRYOs51FC8/vBkXhCwSjBJDnqJsl9TxKWprrNm6PumicOYAgYOOZ4+1On\nZk3rrn3kI26FGeDcOeuyMK7aOnSo/M8xdx1oYkzNlEBLBAmQ+ME8RgkmyVE3Se570tBNdSeffx7D\nw8MtZaoUOc+SVBYmSidxRVGQ/cxnkOnudrxvUw0y0BJBAiR+CNMYsVZa+CQ5RD7JffeLaemFqDvV\npIicZ7ZlYWKESCdxN8Edx9CH7/Ur+OpXe3DhwvK+v/nNcezfP4J166p/t+JGJwDgxgprM+WruNNV\nf1udOAXjJBpVVYUsWlMxYmpKWxoRt367pFgsqnJvr5rZsUOVZVktFovuGtCSw4vrkNPzrpb7Lstq\nBnDfdxf7sUU/fj/nwOUxpwEVhiWdTqvnT5zwdzyNjqG2j26OV9S5tsM4DnrfzPbrYZx8XyOiMRsr\nL+fY4lzIslw1v/RFluX6fS0tWV4DxWJRTafTdXPV8vyV92G7bwssf5fw+3OYOB4vntMKZbmlTp6h\nj1HCiUsBSi+kUinN0bpQAFrE4TqXy5mWXhgcHMRhfRx19DIMq1aF0rdmJcnXiB1WjuiNnMSNmpr1\niyUA/zNuwyXNf8uAlwAJr76Dppo9aPmViDMY0CIOCkaEhIjVg+Pl19/H7V/txI0Vy+u0hxawuN7J\nw5yRTq2GlSN6Yydxg6B9BsBf/qVp+16EHK8+XaZmykKBJmYXMKBFHBSMCAkRqwfH/b++Cbl8jWZI\nz6vnRC4SEOlUFy5N/4REIsqvyouQ42ffFQ2yTqHgvLMJI4hrjQEtAjGzr3lZEDe7ZYv4GKmq6s8H\nJEIfo6o+hLEfq33HwMeo1g9A94vpvv9+Z34xPn2MbP0TEu5jZNlWVATsY6SqBv+9TMZ+/kxNCfUx\nquxbhE+X6HtTTHB9XkW324Tn1Cuw8DESJhht27YtvKNxAgUjZ1AwClUwUlVVLZadUa0eWp5unD4F\nIzPnVwlQN27YoD7Z26s5hwcJBaNwrhsDFeG77ORcNGnPlZBj/L2I892kgpFXB3VblpZUdWnJ2Xg1\n4Tn1ipVgxFpphIREVW04AF/5yldM1edhOFHWOu6aOeyqAOYXFvAXx4/jq995C7/3+yfqQq7F8TQA\nlP2khhpsS/ximVBRUarmZNSO624znScBcRnUNS5cUDD29/14/2fzWHNHFz61+89x77YUbqxYhSGT\nS6kTffRFbAB9jEjiSGKuDje14cJwoqx13LVy2AWA6wAWflLE4mIOg4MBRbdUfKRIGFgmVIxZBJPb\nTOdJQFgGdZjcV2YncPlyg5xVh4bArOv2MPM1SRT6jaBw/DhGJyZQKBTQ09MTambf2v5kDx5EZv9+\n2yy/dlqgWqJwojTL6lxLM0W3RJkZOg4wgik6RGZQd3NfIc6hxogkijjl6qh7W5uYEKIFiiIruDFc\n+sSJE5ifn6/bJkjB7HE8g0kYzPHdwKbL2r/v3LK8ehRAd7f79o1tXbmi4PXXe3D16vL5/bu/G8d9\n941g7drgNY+j5b/G4zA7VifteDkXAHD6tLnw/dZbbXVtOu2bsT9ejsesPcD7McaXFNavH8GlSzks\nLc1h9eo2rF+fxyOPuJ97k5Pm95VvfGPO8ryNohnPqWDMHI+8LH19faE5TDmCztfOCNj5Wo+O6e7u\nFuIM2N3dbeq4mMlkvPXXh/O1GydKtw6XuhPlf7d9u9rZ2anuaOT86tP5unbfQUTN2LEHr1QNxUos\nqb+EN9QuTFUPEVDnp+1k6cKUoS3zsdDWF1UJv6cCeyoOybVtrcSSuhJLnvqhH0PtcVT3z3k7XvsA\nFFWgZoyB8nq1amOrvtWeB2N/vByPk/MU58V4PsLru91cFj9v/M79+C1QVbVenpFUVRUiYG3fvl39\n8Ifr66VduaKgVMphaWkWq1e3o7MzH8pb2abLWhKYd26xdxgcPSWhe4+YcxAVTo/VjNFTEgAIOwfG\nvpi9ma9Zk657M3czBqdPZ7GwUJ/fZMMGGVu3utcY6ccPuD8Hk5MZXLw4Wrf+9tsz2L79ZNU6p+fC\nyEfe+xamph7Bm9dmGv6m0TjWzpFG5/zKFQUL5/px5foC1LVbArtu9fvD4sLjuIH/trK+C2ewEtdw\nFvfguiEhoQoJEur7bbVeZyW0LOJaWxks6yOM7ATwIwDV2ZenUYSxxntXOcHUWUcJpupRoY2Vsb/V\n/XPejt0xN0aBhKfQja+jDVqW6c3l9vQ+AsAqLJn0TcFt6McHmMcVdAHIQ8XmSn9EHI/ZeYozxnkR\nXt8VAD1AVT79NIARwCI9pp9543fuh03jY5WgqqpUt1aUYCRJkiaIVuF+0EThdAD931y83QRE4nWy\nGm9+oi5gY19W4jMAvo7rdVvJAJaFGHdjIG5OGY8f8HIOsgDMktBVH9/y/JgFkEMGBbwCGdqjyLrP\nXdgL4DjONmgfaPwQqZ0jjc653t49mLKcV/7nvXEsnwGwHcBa3IKbsOGOPC5fnwfWdjkSykQI16tX\nd2JpqVS3vlbo9vMi4ravYWD2cmD3wuBFyHfajzidF7cY54XoF047lpUPmlkuSOWD37kfNo3m1KlT\n5oJRnQrJ6wJT9Zx7NZ+oxanKT/WhVtQXEWrjMI7V7Nj1JYi+dOF+tct0/DM+x6Da3AGcUrU51a3q\n5hC3x+/tHNSbI7TP1fuvnR/GfdntdyV2qysdnD/jsTidI42OV//Hbl45nffW+9LuDyvLi358N2Ft\n1fE6MuMBjs12VqbCnTt3mpxrEzOt3xw9LvoaGVUDWE0geXj0fSYZ47ywOHeJJ075wJzQYAw0ESjg\nIrJ79lR/npycxcWL9dvdfvscgk975Owtthsq9jTezBbd0bDNh6OhPzy+sZ/S/nTv8X8OzPqy9MZG\nLL5Xv8WGDW3YunX5s/sxSAH4GgAgf0rC3615tObt1aEj7anqj7Xz10k/rlwZafi2Vjs/qo73lPV+\nT5/uwMJC/fra86e3CcDmPFbPkYbnvHxufm2P9dxyOu+PnerD3XfXr3/33VksLQGd5c+6ZuznuFK1\nnWjnetO6XPk8crkcxsfH67Y3Op0nMVWEaBjRRpoeM2nJy4Iw3yziRtKkaJ2A32rOnzihPtDR4f7t\n3wWyicbB8RyzeSsWit38sNl3FE7QVf1qdF4azPuK4315PGr7rd8fusqL2b1CXxo61wsYQ9PzDVT6\nbfb9XXfdpe7bt88+uCCAvgYONUbuaXKNkesyRXHAo8ZIqI9RbVtm2VXT6bR98qkkcqZc7TOCzLC+\nkMqmVUFzoI4zZzAzM4M/PHq06s1c5Nhvle7EDWih5UZfnM7ODPr6Tpr/SOfQwHKm5aDOAWA/PyTJ\ndt+KoiDX34+5hQW0bdkSnobCydywOS4n176+zU3lbep9qZaRZdleY9TgPDql6nx/97uaF1i53Ww2\ni0KDwqaO7m+C+hooksHtIqz7ehLOix3G6yHoe2vIJPZZ3mBOSVLAPkZWtdIqxQwt3hqbAmqMzAnh\nvMgWGoe4aIwavmU52XcU88unxsipVqFYLKo777jDVmNkpyVrpJXyhH5cNefAKlWE6TGWa1eZkgRN\nQoNrw0lNLkepOmr3mVDqrvMm0xgl1vrjUWMUeK20VCqlvekVCkCMUs2Lgj4H0ZIH8LmODpyfWQ5p\nDzoZolPcJIAMqz+5XA6zs7Nob28PdK469UNJpVLYtWsXXj5+vGr9bQA+vH49dv/mb1r2002ZFa8Y\na3UtLponRaxlbGwOX36ypP1mfb02rRlqVTWqoWZai83j2IQ5b71gep0jjNjr8Gg5vzIzacnL0jDB\nYxNJzzqR+oCIoAk0Riqgnj9xQn2yt9eyWr3db4M8B47eskLSGLmeqyFpjFS17ItWs90DHR3q+RMn\nbHcf2FushcbI7Bxa7t+jX1lscHJtuBh/3Q/QdmxM9pWEe6zlPEzCODuEGiPimDiVp2hlOjo6cPjw\n4dj5eIX2lnVNyyeEVdYRZGHPVTdlTTo6OnAUwB8CmAPQBuBLR4+io6PDdh9+z69bTURtNNttt92G\n733ve5gx01Zer8/elTSOoQ8ldAID5t+vuNEJALixov672grynZX11hXkzTRpkd5jHVxXgM08FN2f\nCImiTFGUUDDyQcupF4krnBSDNZpqrLB7AAHA+sUSAHOzjU7tg2p5vdWD6umyY7o3qoSIQgFtsmwr\neHSgJmWlhVBkFGZKZiXK4aymm62px+Z3FdeAmv7UBRfojrgJ5gCGtH8sS75bCwxeKsgfO1S/K/fz\nVhxOrivA2sR6pWkMaYbrOYpAkCgwUyN5WVrRlJZY9aJOk5jSPO8nYFOaIzOAiH07OH7Xc9WnKa2u\nrUbtGMfCYkzNzufNN9/sycxiPB+S4ff79u2zNKW5ohVMaTbUjlVX2TxqOzYm+4r0HutwflumeUjC\nOLslaYFGUZvSJifr66Q1O0GrF4N0OlQUBTkAswDas9nmlv4jIk5vWc2gCjczq0gffICuu+/Gire7\nsfJje5HJZDA0tK5hW0ZNhGpY/5/+0z/gDzb9e6xbl8INn1qzJBDUPabW7PjxW29Ff38/Oly2nYR5\na5owtFBoIn1R6xFoHqOaDbT3jyYjqDwzQeaNCC0nRRj5nSQJmJryth+bXC1OcPxQ8ZHHyBEOz7Ol\n2ccMn3mM6tpq1M699wJY9mtZ8UdPAQBurFg21wwNZVAqjVb9tAvApvYd+P3Zf4ED6jH7fhiwy0lU\nyZnkJxdN0GMuANv7wObNyxuK6KuTuWJxXlzNW5H4uX8lII+RJ6E4aTn7os5jhEZqwyjUina5REQS\ngHoxSBVyaOrpJjaluYqWCdqsEsR5jtqUZoLZvL0NUDvWr1dlwFWkUrFYVNesWWN6HVSybMfVlCbo\nvmZ7HxBtZnYyV+JmevJzXQXtpuATz9F+NKWJxYmTqWicOs/5pZFzrBeCdDr8x3/8FIAt5U8loOxk\nKdJpPPH5nRpEpDAiMXzMzCqXAFxaXEQBwHhPj2OtZyqVwqc//Wm8/PLLdd85cd72g997oaj7mu09\npmJGHPK1D+IBh9FwfuD9y57QBKMDGAIGjoW1Ow09MCRwrZ/4CewlqsN52yfw9tv1ZgRRD4S4JTa0\nwyokudHDx43gaic4N0Oyv7Aw+nKcOHEC8/PzVd+7vbEfOXIEb731Vuj+K77vhYLua7b3mNIhf40T\nzwJwGC/0Xl+8g1ACBInn+6uZGsnLgjia0pKm9jMQZGKzoJOmhWGqM5aCeLK3t2EyQFPszAUN5o6w\nY6QpzbEpzYhVeY6GxWZrsC1tEVdTmqDxtr0P0JQWiSktrEKtiY+odshR9KlPP61aLrAwpQkTjKxq\npVWgYOSaSp05txmdnbYNBFLDTtRDywpPocBm+BCMhAmXFIw8CUZ79+41nWN79+5t3B+z/Zsdh2DB\nSFhdN4HjbXmPoWAUumAUZpbvJGQUF0LUPkZWtdKId2qTyQlvW/8geB9OEhv6wcw+fn5mJlT7uGmI\nbtL8qGLG43gGk/9/e/cfHMd53gf8e/wBkSplh0ZCsQCh4niiWCUKRTsTkQ6bEGcHaTMWJI+m8aRz\nx4BsHfmPRAUVoe1E7UWgrx1PpmwkREkzdscmyOCmzUzjSGY87RiSCErBFKYjiZRtwSQB7IlHwiJi\nUpHEEARIavvH3u7t3e3u7Y93b399PzMYEou7vff27vbefd/nfR5UzyN91rf9/vebF5IAwPRrH6Gv\nxX3XfKTEcNxapUyBb7mubL94Z+MtT2AnTuM5693Z0o66bm74eY6JsiBiJNsZ9xP385e24g7u0tEw\n8zUJ53fukbBkHOeXSnBu334fAJCCcrmbA/A3ADpv/l3d7SZPptC3V67btvlGGQBw8U4lhuPddb2+\nthVgsGuUBBUj2e7zWlzPXyIuQtgxIuH8Tmzo94gUBeM5PFn7ZVI2vyGAfL4bpRK05IwlKDmNstlN\nOKxfaJYCJicb7twUvGyyeCKVrf7noGVb7AhLZz4IrUZfvF7dixZUJ5bnNTFEvH5CO0ZW0excfZMs\n6XQa44cPK78ITgZmNCJ1T09PqLLhkr/M3gNDQ0OW9wsqjURSv/ReffVVfO5zn8O1a9eUDQ2jL2Gc\nYgyqExuFLN9RIOT1Mwo8cvMTylppEQ++9p3fSch8PP5a0GhAq9K8EhaIK8uJDL6W5ebA4QsvvdTc\nHt2+HAecCgy+Fhrs2q7EqR7PD/Pz8/KGDRssg+TDuDpKSJs8rkozXCVJtjh5/WASfC2sJMjOnTtl\ny3ppQaTBj1r68nbzO219lEuC+Nh24SVZ/GhrQCVBNG7ek0bt0T22WRkQrQRII8ElQbTSFqUSunI5\n96NVbfhcHUw9VwuE39vnah8zM3ksLhqXXUml1uEXf/FtnD37r/H++5NNf//4x7PYufMVV4/rRGMg\nPgAsLUl4661+3LhR+3yuW5fBjh0TWL/e5ut1clIJ3JddTMPye8sTJ+dXs5Igq0Q15syZM6J2RRRr\nVnPgYSdJEvL5PHbv3o37P/MZ/NIXvoB8Pg9JkoJuWktBx/mowa6vABgfH4/NCiAzy8vGxxsAZPkG\nyuUC7rjDeIrxjjuMpxgnTxqvRnRr842yFoyvWr8+jR07JnD3z/wmfurje7FpU85Zp4gCpca45nI5\nZKFc+Di96GTwNUWaBESu9EjQX9BuGV2J4dIl/L8zZwKPC7EjqXE+bjgJhDejBsib+bmfW8DXv/51\n9Pc3x9VMTBRh+FYyCqb3wjSLeBrA/3S/XweB+43FXL9y4AB6enrcPzbVVtyVSq7S0cS2YxT5Wl3U\nkiRJ6Acwd/y4siHEpUf0ovoFbTTSpYrC0nMGt7aX0fHW6+rqin0+nVaMLjbeffVVHDlyBD2cSgtM\nLDtGUarV5VbjVUaSTiaqQqGAxlMuv6DFaaz1ZFZfqfZ34zpLYVmR6ncaCaqnHu8nn3wS3/nOd7C0\ntKT9Tf9+j2M+HTVZ6ZpfaY5h0puZKWBxcQ5rq7/fhJKs9gtfGMUdP//Z9jQ2xiaBlglfjcSyYxT3\nZGpGVxlx6/jZEdUpqbqrZK+BuD5qLHZqVnRUtWPHXcYpOw4dBTBm8If28zONRFxIkoQCoOQVAlCU\nJNfvzXQ6jRdeeEHZZwI7pGr80vj3tjclGgVqcVi91d/PAygDeO/WB/i5NrSPjAnrGD344IOWPbNJ\nuOu5uXH6tPEX5l//9ULb2uAn9SpD78LcHH5519O492edzIuLK3kQhKhOSQHe58CD0Gpq5M0334Tk\n4UuUgqdddOm2Tff3e77oSlqHVIvRGq+umN1uHBtlFId1E8A/H9gSldNCyMmYtPhryiSWX9iqtDDV\nSnO60kEU0SsmzBit9ugFcPdS+FcGiVQsFpFp2BbGKam40K/26OzsbPp7pVqvjqIryismo6hYLCKT\nqT+L8RwWPKFTadarBax7biJJUtHZSgdRRK+YMGG22qOpHEIrAkseBCGdTmMCQGFgIHFD9EFRfvEM\nKgAAIABJREFUR7qy2SwmDd7sYZ/GjDq/F5VEdXrajTAs0FEvNv50aAiLi4t4iOewUIhljFHcVzq4\nLYcQR2kgUUP0jVjiIjnasagkKa9rmBbopNNpHE7wOSyUjNJhu/lpWRIkCdpY9kRfDuHRRx+VP/+Z\nz8h9Dz3kLI18hEuCaAD3jxNgSZC6NrgktMyEUbss2ubosX0qCWK4H4uSIJa3MyK6LVZtsqEd5TN8\nfU95+EwJLaEjt+FYqu8d9TmLKq9DQsGkJEgsR4ySQJ3SCNOVD7VXkKsvufS9/doxzaW9rlu3YgFA\nF4BiwOcSPwrNJmnKkJwT1jGyrJNGvol7aoIghCH2wI6gT+5JW2kUtHZNc6XTaYzXbxC6f6f8OMcl\nZcqQ3GGttIgL+ssxbtSr09Lx45g8dQqlUgn9/f2hrAXGk3uyJHUFkx/nuKQeS7JHWMeIgsEvR7Gi\ntFyZJ/dk0dIlDAwgu2uXq+KYUeTHOS6px5LsYYxRxEWlvERURGkELg5xPtq0JapZlqGsNCRjSZy+\n9Oscl8RjSfawYxRxcfhyDJOojcBF+eRuWNoGwASi3TmKSoxaVESlhA7FBztGAmgFXQF05/Nt/9BG\n+csxbDgC1z6G05YACgCCXjZQVy/MwWeaq0T9EcUSOhRdwmKMHnzwQVG7ihQtWLdUwiQQ6mBdaq1d\nsQeSJCGfzwMA8vl8It8vptOWbW5HI+0zDTj+TEcpRo2IjMWyVlo78UQYP+oI3CvHjmF8fNyXTpHa\nmQaS0ZlWO4LZbFbrCJpOW7a5bY28fKajFKMWZUbvJyJROJXmEU+E0fUU/ivO4EHcwlqgr/5vW64r\n/168U/zjzswUsLjY/MW7e3cB99/vfJrAa1vXfLQCALi1qkO39QR24jSec7fLJk2xRNPT+MY3vtE8\nbQklADtIXj7TrWLUJElCGkA2m0V3dzdjZVwwjE0L6XRlpVLB6OgoXkcwYRbkDjtGHkUtWJdqPoGr\n2Ix3cRE9TX97d12vb4+7vGz8xbu87K4zbdXWyZMp9O2VLe+/+UYZAHDxzlp82izuxSzuxQ9+xajT\nVGOnUzYJGI7A/MZvfA2Ze76Njz7xe7h+VYKMLvwydiON/2LZXr95+Uw//vjj+Iu/+AvcunVL27Zm\nzRo8/vjj2hf6LKAV4A3rF3qYhSqp7Yry+UBH8+fjVQBfeOQRfHD9OpYAIRm7qT3YMfKIwbrR9R/x\nldovk42dB+OOgAj5fDeqs2hI6bY//HCXy7hSi7amgOp3sLlz1X91cfsHU/8bp7ETm28oPR99p0lv\n/Hvb8au/vGy7pXrXr8/hx/P/DjdXFrEGm9GNf4OP47KrfYlU+0z/LgAlRGDduvWYnd2Bvj7r+87M\nfA23bt3CXQBuAVgCcOvWLfzGb3wNAByNFBqP5Pk7mlmjjhg+6eeDODaGQUxNvWP4t6mpBYyMONvf\n6tu9AIDbq921p/NKGQBwpbP+8/Ee/i2+iv+O5evX67azKkE0sGPkEZeSklNR6ExrX4jjZ5V/zRY7\npoCXXrXuRObzOWg9wTo/QPnqNe23dTiBIedNBSB2ibz6mf71rS/iMoCOTXcjne7FunXrW95XHQ28\n0bR9AUqdUqP7GI8UGo3kAf6OZobdfhzFS3tyKJeb/7ZnT5fjjpHnCyCDiwoAyB/6Y5hdLjDMIvxY\nK00ALiW1R0trcOlSouMr6jrTCwvo6uqK9bEw6ghu2LAB165dq7ud26X6lkvkXbY5nU7jR2rn8LL1\nVKSeOhp4s2H7ww8r03ClUv0oofo3w9OGyZeun6OZmlTW/8dwKQoXFsaT5QqGWYSfsI4Ra6WRFaOA\nyRdffBEPPPCAdlKLa8fAiNaZTgCjjuDc3Bymp6ebbuvmWtoy5sRlm91q9aUd9i/0KIjChYVxlJpy\nQcDXO/w4lUZtYfTlde3aNUxPT2s/DEqMr8aOYD6fN+wYubmWDtPK0FZf2nVZ6r/7XRT5nnclDBcW\nVtO3RShZ3PVnvA0bNuDb3/42X+8IYMco4cYwiPKIP/vWBzZOTVkNLitX+I8+WkA2+zxOnDiBDz74\nAB/72MeQzWaxceNG0/v1YhD7BbaZ2sNwZAXuluqHbWWo1Zd2XZb67dsBfklGUqsM52kopW0KAwO1\nTvBbb7FTFBEpWbY/f265o1RKFrWvyEqlgKCOwblqQIKTkiCparRDG9qcz+e1hIZmdu/ejb/7u79r\nmmqwHElKpYCzaoCww3IoKV20R1zfu3bek0bvHfXYtDq2Ht7zkiTVj55AVyPNwT6Npmm1983Wrc37\nsvtZ8evzoT7+9u3W+3bzmRbFj8+GiOcT5DlWx+x8lsvllE5x4+cnzK91gqVSKciy3Bj2xxGjJDuI\nZ3EaO4E+86XBoiwtFbFu3TRu3Jgzvc2ZN3+MW8v1S3FbJT6cBFCtrOF4+fIWHMP9mKlftk9t0zR6\n4mE/LKRM7RSm6VsST1jHKKm10uLCbGmwKOvXp7FjxwTK5QKuX5/D9es/wEcf6ZZqr8tga+of4Qdo\nXrXTKvFhkpcvk4KFlKmd7EzfSgD+dHgYly9fhgygKEnsrEeEsI5RUmulRZmWq2ZStlgaLFIa6mJs\ndem+PkD1T4eGgONvNd3LOvGhjJfcNif1W27vSUQJ1mr1oQSgH8Cq48cBAOcBTPf3c4FJRHAqjQJh\nFKA6NDQEVE8kKi5nJqKwaTV9WwBwAcA21HJaMet1dAjtGDnPOhovXCHlTU+PUrMsl8uFNj8JkRUm\nMU0Oq+nbSwB6q/8v67YzBika2DES6dBRAGNBtyLyeEVFURSlqu/kr24onaObqM+CzqzX0bAq6AYQ\nUXAkSUJ+eBjZffuQz+chSVLQTYqskaefxgWTDNyULEUA9zRsY1hAdLBWWoxUKhX8/pe/HMlhfC2L\nLIDufD5SbY8qP2qMxY2TBKiV1+bRCyXQVq+x6rua+LQnZlPvnEasSQM4AmB0YABvXLuGrhMnTLOc\niyyATILIsizkR9lVwgV4DC689JL82Z4eGUoJbxmAnMlk5Pn5efM7KSnHlP+fPav8BGB+fl7OZDLO\n2i6C+vzj/N61eG65XK7umKs/uVyudlxavS+8Hjt1//rXwu0+jdpqtC+773WHbXlqYEDeZnY8debn\n5+VcLif3Vf9m+j4P8DMpA/I8IOcAua+vz7qdss3PsIjnE7bPqtlz0n9+1N8NBHbuI1mWZbnab2nu\nzxhtdPPDjpEs9kO7vKz82GT3pFyn+uGdn5+XcwMDct9DD7U8AfrB8gvaTwnvGPX19Rke92w2y46R\nel8HbbFzceLoizDIixVAzjS8L6y+sG19htkxahLYuY9kWTbvGHG5vkAi6451XikDAK502kss9K23\n3q9b/aBqHMav9wzuxPfxNYuaP+3ALLLBMEtSd9ddd7W5JfHQ09ODI0eO4PePHDFdVWlUTNloGXfQ\n0ysF1BdAVdv56KMFPPZY8+IIs1qI+vOPvnaiW3Fb+ctzXzixYyTQfhwFRsbE7MxhwsXZ2R6cf6d5\n+549XeYdo0OHkAfQcJ5ue76NsBUBTYpisYjXXnsNFy5cqNs+MTGBT0Mp6vqVSkVLo0Ct9fT0WH5u\n7HwRtipQ2g5mJZ9/+qeNL7RmZ7tRLjdvrz//CCg3FLOVvzz3hRNXpYWQm5VCxWIRmUymbpudVRBm\nJ8B2XrG4bTt5k06n8clPfhJ3AViv2760tIRpACUABw4cQKVSCaaBMWTni9BqVKldjFtp/oXNz7A7\nPG7hxFppIeP2alHLxNpQZqPVFabTE6Af6rLIHj+OrlyOKzMEaTW9e+bM+7hhcf8LlQpGR0dx+LOf\nFd20RGpVSgIIx/RKEcA06qfTrL6w3Z5/ko4FkEPKKPDIzc/g4GDbAqZCS0BgYFuD8aorT0KzKkIN\nwm2greKxsTrGrvn5eWXFTXXlTWxXgbR4T5q939SfuwD57rvuMj/uDL52vF/1/Zw1WZUWioBc3aq0\n7K5dgSzKMGtXqHgMvm65H/IV/F6Vxo6RLORDa7lSSLSGVWmBnwANOkZ+LGdN1BLZFu9Jo2Nh9mN4\njNgxcr5fq7bJIXl/6l+LMH1hs2NEApl1jBhjFDJBBOOpNX9eOXYM4+PjoRrG1cdbrK3+eI23CEMM\nR1ioQ/m5XA67d+/Ghg0bTG+b1GPUbtprMjCA7K5dyOVymJiYAADk83lks1lmKSfyEVelhYydGITY\n6u3FMeQxP1LbpF8G3Fv99zxapSGwZra0OKlLZNPptLaSSpIkFIaG8O3jx/H3BreN2jGSABTy+fps\nzEE3yobGAqWswxYtEpSUB5f27VPSLQCReN+Rgh2jkElqMJ5WTgAldM/K2nO2twzYGbN9cols7Qs5\nf/w4SgZ/bzxGhh2PkLxXJUlCP4C5Uu2ZTE9P48RXvxq5FAR28x+5trKi/NshYEl9wmnvOwA4dUpZ\nQANgQpJC89kga6yVFkKNV4th4VctpKar4VJJuxr2YwQt0aNyNtlZlWTW8QjLKEahUDBMUjg6OorD\nhw8H3hlotWJQnxDRTgJFL5oTyj6DXpSV3GzkiOH7rrq9XbnhyBthHaMzZ86I2hWFkJ9D+a2uhtVl\nwKtmZ7Fp0yb8zuiop8fURuW2bsUCgC7AtMBjUqUBTAAoDAyYjlyadTxGnn4aR48eDXz0wWzZ+7fe\n+gAf//Ne/NTflwFYZZdXOwetuclU3TohbO34+TFyWqcxoeyhQwJ2mkxhSLdA3nAqjWwRPpSvu1pv\ndSLRYmDOVc/eAjow6XQa4/UbPO8zbtKA5cil2etWeU3C80+VbZWz0UZF8AwAaKMUIkYnzRYyPPTP\ntqBQ7GidXV7rHIxZPk47MlVzlDM6mM06+tgxSjh1OL9VHSPRQ/n6ofsrV54AsLf6lzJQHb7niSTc\nzL4APvWpTXjiCdgsZ1MdFfnPtREKCRAyOlksFjFdKtlOUuiW7/E/YALFKDF831W3B8WvMIi4Ysco\n4WrD+dbTHsKH8nVX64ODn0R//7/n1XDEmHU8hoaGPO23ADjraKijjw3S6bQyHZjL+dqZaNfUiX71\nIIWX9r4DsLBrlzINXSoF1hHhikbn2DEiW/wcyq+7Gi6VDEuCBF1tnJqZdTx6bt50vc8xDGIKJ6GM\nHNYzG51URx///qd6AdSPevZiEOPjY67bYwenTqhRGlCm6o8dU6ahS0ZrPNvDckTzG99QNnA1Yh3W\nSiNb/B7K166GSyWg4ao4DNXGyVgaaB7FUGPBXNiPo3gJRt0ii9FJbfTR4OTehmrsjP+hVpysQBTN\nKgzi+afKAKwWICSTsI7Rzp07Re2KQiqoofx2xHBQeBQBTGcykeloJDX3GNnnZAWiaFZhEE88Uf0l\nof0is8WXnEqj0OPy12RJA5ELNA5r7jFqP0mSUACQAnD38LCSXiTA9liOaHqY9o4zdowo9BjDkTx2\nRycZe+ad4TEMulERpU37A9gGAMeP44W338ZsgG2yDIPwMO0dZ+wYUegxhoOMMPbMO9NjCNb2csNs\n2j9oXNHozCqRO5MkidWfqSVJkpAfHkZ23z5b7xOzauP88ks2q9gzssf0GAbUnqgzm/anaBFaK425\nEqgVt1f5jOGgRow98870GLa5HXFhNu1P0eJrrbS5uTns3l3A/ffHfwhvzUcreAlAX5+Y/W25rvx7\n8U737QGAW6tqqx0mT6YAAH17ZeX36nY7bV5akvCO9DSWV36Mjju2oLe3iPXrnXd4Z2YKWFxsvkJV\n3yeTFu1xekyMjkHd/nAMAPDTuILn7O2SQoSxZ96ZHsM2tyMuzKb9EYLpNLLP9xijxcUFLC76/ShB\nk3AXvggAmDmZwiIeBfAsvMzSr0UvAMDtmoFt1Uww5w3WYZ48af17MwlQ6qhrWxYXpwFXkQjGV6iL\niwu4vJiybI/TY2J1DJS/7wIAdPH6OJIYe+ad6THkF7kr+gLVqwBsGhjA74yOAlu3Bt00csD3jtGm\nTV24/36/HyU4S0sSzpzpw4fLF5DStr6Ijo43sHPnSVejKgpveS3U0ZUu/ehKtcOxt1qWrA/KyNFe\nWDMa5QHmsGmT89HAmZluw47ypk1dwKIymmXeHmfHxPAY6P9+8rsAlBEjoM/Rvil4zB/knekx5Be5\na3UFqg8fZoHqKJJlWcgPADmTycgAtJ9MJiPPz8/LcZbL5eqes/4nl8sF17CzZ5UfPUD5caivr8/w\n+WWzWcf7mp+fN3+fuGib1ePkBgbkvoceknO5nPH7UD0eAh83dNw8t7Nna8fF6H3Uav+t7mO2H7ev\nh8Hjzc/Py7lcTu6rfg4NX387z81JW5w+7zC97xrbrn8tnL6WgmivYV9f7TUM0zGTZfPXvPHYha3d\nss1zZMwpXaDm/ozQEaOoJWUTwWoVQlyCQEXGchjl1Hj88ceVys8AuvN5z+8bLuNOtqbXv1Ti6x9i\nRpXfARgu5gkyH1Cc8BxpTWittCTmSrBahRCmIFA1G6ubzofoWA79+0TUl5j+5Foul1FuyIHPEiLJ\nwRIy3h3EsziNndiCCpB3vwiklaUlCW+91Y8bN2qv11/+5TTuvPMBXL1qnA/IzmKRVgsvgObFKG72\nZbYgZLL6b7567CYhbmGOCK0WwSSe0TCSm5/BwcG2DX+Fyfz8vHzPPfc0TTP19PQEOzSpG+K1nL6y\nSR12ze7aJXTY1Wwq0sk0pNHzM/ppmvqL8VSarakkMxGfSrM99cuptJqGtu/FCRmQ5bVYltdiuenl\nEfdjFoqwyXC7DJjuS/+3bTgrb8NZy8eWW+zPzr7Mjo/6H/Vvdh7H7Ln482P8GQGyPj9u2H4gy7LP\nU2lJlE6nMTk5id/74hfx+pkzWLlyBbsffRTPPvtsaIYkXV1BryhXSehQrpL8yiPkKhdNQ9uMnp+R\nMI3g+cmvqSSjKY/GvYWhRAeX8Xu3E6drv+zt8+1xTp++hPffb96+dm3KsIzX3Zty2Gu2mOdkbWFJ\nq4UX6u2B2n3MWO/LeESqr7qw5Zd0v7d4mKa2tWqXF1aLYOK8WKqR2QpodowESKfT+Ks/+zPll+3b\ngRdeCLZBDcw6H1NTCxgZMb5P55UyAOBKZ60TtPp2LwDg9mpxbbty5QnU1sVtAXARAPCTn+yw3bap\nqdbZZjduzKCzs1i3z078LrpxEY/B++tl2GkIqGPsx1RSU2cLaCodEZa4BTtTv2HowIXZc3iy9suk\n7Nvj5PPdKJWat//6r+/CD3/4w6bXcGKiaL7IKwVMTlb/r5YAs7qGqy4j1u5jxs6+REvZaJcHklRE\nf3/zZ8Ty+MZQKmXyB6NhJDc/UZhKM1zlIIo6FK0MzQVPNzTuarrKzXSIC66m+RraZvb8ent75Ww2\n6/uqNBFTlSJ5XkVoMJXWeIzXVn9yumPnaVq0cYzbCYtVaVk0TyXafr2ctiVGU2miPhutWL0W2mto\n9RnW07fVzmth9/m16VxYpw3vDcfHN4ZgMpWWmI6R719eIe4Yieh8+MnqS8xO21y/toJO/iLipDxZ\nXlZ+RLWn+j4+gkH5y/9pWf7yf1qWe3vrO1vbqj//FJu1u3nqkAnuGNXtt4Ht48OOUfu+oEXEL7Jj\nRA6ZdYyE1koLsySvVNFnY10A0JXLhWrqQFulVioBLl4LoxQAdp/fMeQxjwww4qLhVWZTeVZTlSI1\nTi12dj6PjRsfwnvvXQVQBnDU1SrC/TgKFMcAAGelbjQs9AMA/ALe1f4fldge1lgLF9ZBpLARWiut\nHV8Cbvn95aXG3/RgEPu9784Ts/gJrcsRw46g21QRv6UeFQ9vgtlZ407Dnj1d7flMNMVAbMTBgwNK\nR7FUEtIRbozbeRfA6o4OfLiyAkmSkE6nI1OiIyodOCIKiNEwkpsfhHzor23THQEfh5aZpe22L8zD\nx6LaFpcYI4dTSbb2Z3Bc5ufn5UcffVRev3696XN1PS3Sxqk0xhgZCHAqzfDxG9iKD+VUGjkEv6fS\nwi4qV7NeWU4ZBtSmuPMylRcl6XQaGzZswNLSUt12/ZR0FKZFnNZYy+fzoVht6KdKpYLR0VG8/uGH\nyvOElxLYYpmuiGSWZvJJYjpGSfnyYvxEMJKS9T0u7y8nHbiSbj15HL+QJUnCbx84gAuVCs5Xt00D\ndakYhGvIRWYlyfGhFIzEdIyAZHx5MX6C/OTn+0stQwEA6Gt9e7VUw+Ybyu9GZSsmYV6KQV/Owajs\nw6TBffRlExrvY1YewoxV29ppZqaAjy9W6rbNAXgQf4ifxa/gX4yIf8zGBQNWOdLsxof2hiC+k+JB\naK00Cp7llKFRJjUiB/yckj6NnTip9ohMMtLqbUMZAPAqerGCO5CqZhtuZJbddi16AQA3dfs6byOL\n3+LiAhYXm++j318rcjW7oFnb2usS3jPY+iH+L9bhIX8WEDQtGDAfObK9uOHQUQBjAhpHSSesY7Rz\n505RuyIPnMZPEDnR9P767ndRFDS15LQMRa1UQ4dpCYU+y1IMtS9jw7IPJp0WtWxC831aTwvp9923\n12GZCJ+YlofAqupr0tfuJtVJSnwohUeiptKSwmsALMslkJW699f27RBVQ8BxGQr9qIPXEgpGZR8M\nygXUlU3wUirC55IPThiWhwAwgZeRxssADgbWNqB1fKhWjgdAdz5vWMPPLZ4Lk4kdI6oTlnpXRGGR\ny+VivWDDcJS5VArNqjTAPD7UrGDyia9+FT09PZ4ek+dCwRwE3AeNHSOqwxUg0cIrWv/59b4PU+Hh\nplHmiMQjmp2vRkdHcVh9PoL37ee5UH1P/C0G0bHjm8hms9i4caMvj9VuRoXJw4odI6oTl+XYScAr\n2uiSAObmEcDsfLVoFDQlaN9+nQubPs/fP4rr1zPxeU94mXr2yaFDxttXiXqAsNdKI3u43D86rK5o\nKdwKQNNrd2FuDiNPPx1MgyLK7Hy1adMm3/bt17mQn+fwEForjaKPK0Cig6N70fU67gZwuW5bL4DK\na1JgNSfrcwk9g16UlULCIWZ2vhoaGvJt336dC/l5Dg9OpVEdLvePDo7uRdcv4DJ+ZLD9U5/aFGAx\nbl1QrNkcQ8jUrVjTFUzuuWknm5TNfbfpXMjPc3iklDpqAnaUSsmi9hVpqZRSmjBo56oTuvrl+qnq\n+mM77TO6v9/sHjtRbUvp1mOH4TVzyKiGlLKcXBeT4Ob9eO6csgwfML+v+hps3958GzevT6phbbzT\n94HXz52bz4uH96GUSqE/k6l77T7b04MjR46g57Ofdbw/4fz+bPhxftG/B+zs3+75sE3nQluf5ygL\n4julhVQqBVmWmxJzCIsxIqL2Uq9ocwMDyO7ahVwuF5+TaMylAeW1y+WQzWaRy+WUTpHHJeYUXdrn\nOZdDFuDnOUCcSiOKsChUsydjTbl51CtqSiztPVEqAUyPEhhhI0aslUZERERRJ6xjxFppRPFQqVQw\nDCALIJ/PQ5Ik49sMD1veJsokSUIe5sdAkiTkh4eR3bcvls+fKMk4lUZEGkmS8NsHDuACgPOAVmJB\nH+ug3aZSMb1NO9pZl/EbEFofq7+/H1oIbMPz8yOxJjOYE4UHg6+JSFMoFHChUqnb1phkzs5t/KR2\nTErHj2Py1CmUSiX0V7eL0CrRnuhEfIbPp7+fo1BEAWHHiIg0dpLMBZ2IzrBjUt0uQqvnZ/b3l156\nyVVnhhmPicKFHSMi0thJMhd0Ijq/O2atnp/Z3y9fvuxqpCfojiYR1WOtNCLSFItF3NOQS6exDIKd\n2/jJ745ZsVhEJpOp26Z/fkZ/B4DVUOqdOR3pCbqjSUT1hGa+np+fZ8AgM1+7x8zX7lgdDxfvx8rL\nL2P0V38VbwBaiYXGz3Xl5ZcxOjqKN44fb76Nz5mvDTMEA5jwcv5paLMkSShs3YrXMYi1P/8Istks\nNm7cqN38vfckHPn6bnz4D7Uq7tuq/97szWJw8BXLh+s9tB/75THz5xN0xmNmvq4J87kwSiKU+Vpo\nxyjwD3MYhOUNzY6RvcdTheE1c0twxygKJUEkSaqvYVUqId3mkiD5fB6lUkn7Xe0YPZTL1SduNNLw\nujQ9n6BXpbFjVBPmc2GURKhjJHS5vhow2PKkQESuSJKEQqGAS5cuobu7W/kCDbpRAWjK+K3roLSL\nUfX1e3p6XE0pMoM5UXgIz2PEgEEifxhNuUxPT+PEV7/qqsaWYScryaO9DtVVdl9YwKc2bMDQ0BB6\neAyJIk14x4gBgxQVB/EsTqOasb3P277WfLQCALi1qsPbjizMzBSwuKh0itZWt83NzeELXxhFJnMY\n499TRoT79taG4CcB9PU1t3VpScIbP/gcbtyodbL+8i+nsWPHBLbJgDrm23hf1Zbryr/jutuox2Dz\nDeX3i3c6eXYntP/txGk85+SuHnlJrlhX74y1zohiQVjH6MEHH8S1a9fatjKFyKvT2ImTao/opLd9\nbUMZAHAe90FGCin4ER9QW9bdW/33PIDXr36A16/2ap2Zkw3PpfF3pa3/DjdQnzvnxo05nDpVwJv4\nhum+VGurLRjX3UY9Bq9W/3az1dOp0+fo1kbcjIBZZrH23CIiiiJhHaOdO3fimWee4VA8RcZO6FJM\n7O3ztC91BKXrTgAngb17Pe3O0MxMNxYXm7dv3LQF99/foXXu9I/dBxmNTdlyHZiZuQxca97Xxz++\ngJ07O9BX7diZP42Opv3XjoGLUbOTk1jCj1HG1zGHd5DP73I0ciMBhtOMrRaDWCVX9CNSUuu8AejO\n5zl9SRRCQqfS+AGnKHkOT9Z+mfQ4wqPOotwHIAVMTnrbnRFJKqK/f9pgWXcR6bTyuICNxz4HDA/f\njTeON//p4Ye74HrthP4YOCSlsugHoPb7SqVZR/XHCoBhB2fk6adx9OhRoMO4s9bO5IpNo1MB1Jgj\notZYRJYoIvTBvqtmZ7Fp0yb8zuioqy/VoaEhvPD2202drKCmwgtAw8SebuTmG99QNph0bgDgddwN\n4HLT9sprEp5/qowrnca9tStXjJMr/uQnXRjBM+hFGftbN98Wy9GpBK3kZcFcCjt2jGIis4HHAAAd\n2UlEQVSuLu4CEFqFnNpPC/ZVA31dfqH09PTUVlSVSqaJHNvFeNwGmJpawPNPlQGgqXOz+nYvAOD2\nauCnYBzp/alPbcITT8B0FGtw0HgU7sUXi0hv3VrdMmbrObTC0h8tYrrYOaKQYMcoxiqVCvq/9KX6\nuAsAE5LEkxDVOlmlEtzPn4lhPG4D7NnTpXRsAIPOTW0EafCQhP5MpqmDMzQ0ZPm4jUvuu7q6fOsg\nsvQHR80oGoR1jFgrzaYVZUmz1bSAKKOjo6ZVyHkSojApQum069+t2tTezdbr29KAYQenx8599Uvu\nfWSUEDLI6csgcNSMokBYx+jMmTOidhVpYxhEecT8751XygCapwVEW327F996633Dv0X5JMT4hHhK\nA5iAEmu0gIYabTbzAxl2cEKUW6hudCoE05dBaMeoGc8R5BWn0gTbj6PAyJj5DTys3HGmA2elHpx/\np/kvUR26Z3xCeIn4Mkqjllgy6Kk9p+w+/zBNXwbB71EzniNIhFVBN4D8UywWkclk6rZlqtujyCo+\ngYKjfhmVjh/H5KlTKJVK6O/vhyRJQTetLZL+/J1QR81yAwPI7tqFXC4ntNPCcwSJwI5RjGknoVwO\n2WwWOSjTFVG9cmJ8QvtJkoR8Po9sNot8Pm/4ZR/nLyMJSPTz94NaMPeVY8cwPj4u9HzEcwSJwKm0\nmKuLu0ilgm2MR1zV015mRWsbr/Dj+mUkAegHMFcqaduS9PyjiOcIEkForTSKrzBUYueqnvYaefpp\nXLCxtDquX0a/jk9hDm/UbZubm8Pu3QX8/HYl6eStVR2YmTF+/j/8YZdhEd41H63gJTQX6FVLqjgr\nvuuXE9Vivk+2vmmI8BxBIgitlUbWorpawu7Igd+0VT1DQ1hYXETXvfdG5hiGmdlKyspr8+iFUqhW\nb2pqASO623d2FrFx4zTee6/2/ti4MYPOzmLd7aw9AwDVTNNH7d7JV/+ADwy3Ly8vYPONMgDg4p33\nobe3iA8+mMaNG7Xnv25dBr29ypfx5MkU+vbWSs6o92307rpeIe1OMp4jSAROpbVJGFZLHMSzOI2d\ntgqZ669eZ2YKeG9xDmtRq5iuXjnff7+3lTVrPlLyOt1a1YFJNF9FN0tjy/XD6AJw8eJ9OHDAy6NH\n86rYC6POudlKyuE37sZFg1miPXu6Gjo8aRw86DFJ4qFDDp+J//ZiFiWD7Q8/3IXxP6j+ch8ApCFJ\nFs+/sXbeOQA4i0mLhJWBS2WDboFragwTAOA+35f/UgzFtmMUhqkfvahlfNVfvS4vX4L6m370YHm5\nOYai8eq4Ff2Vt5u2kX2mnXMYl4kZGhrC6dOncb5S0baZTUu0K0liOzlJOhnH50+UVLHsGIVl6kcv\nDAGa2siIrUrytavXfL4bpwwunQ0rsTutLF+X10mGvbsKurIWdFXcNAqDcNajM+2cQ5c/SKenpwdH\njhzB7x854nu5jDDSkk7mcs3PP0SJI4lILKEdo9bTIO0xM1PA4mLzF4CIqZ9G+qkgAKbTQU4DNEW3\nS6FOHTlTLBbx26++igs2Rg6SxnAUBuGsR2faObe4T09PT6JHQtJAop8/URIJy2MUplppy8vGXwBG\nUz9eLC1JmPvhv8T3T/8yZmbyWFpScpxMnmxeFt/bW8S6dfXJFvUBmqJtvlE2DfJ0Kp1O48iRI3hk\nYEDJhyQ4KVuUGY7CVLeHjenqsTa3g4gozITWSpPth5b4Kp/vRsnu1I9L6khB+Wr1S/HDU7jrrmlI\n8/NIb91qMJ3UIkBTNKPSI9rU0UHHu+vp6cHhw4cZzNggDFOkdpkuZW7o2BERJVksY4zakcvCMpja\n5D4M0IyeVkH8QeTwcZv2wXQp89atvrWViFprOs8gnHGKbkUtVU0sO0Z1Vax9Gp2J0kgBuWMniN+w\nEw7/6tFZpn2wcX+7S5mjdiIjiirD8wzCGafoRhhS1TgV21pp6ujMK6+8IrweDxDfbL9UY6cGlmFR\nTPhXj64ddbniUhRVkiTkh4eR3bfPtM4ZEVZWAn34KMUpuhHFWoKxHDFqB8vpOqMAJwqlb+LzuIQt\nuDLS/LepKeNRwcbMz0Aa2x/839gO4PbqDpzEGt+GwdsxUhm1nFtGoniVSu33TXwel54q40qn+ejp\n6tu9AIDbq/1pg9l5Ji6zD1GcXWGtNJeYej4eHsMLyn9Gnm/62+xsN8rl5vs0Z34G6nIrHToKYExI\n+xq1Y6QyiieyRnHo3JH/HsMLwBN/WL9IpYm/GcnNzjNxmX2I4uyKsKm0JNZKU+M1Xjl2zJfpOgpW\nsVhEJlOfYiHo/E3taFMUT2SN4tC5o2Qw/EzDvzjFdgvjebSV2MYYEXmlxQ/lcqHJ32QY0yS4TVE8\nkTWKQ+eOxJAkCfl8HtlsNpSxZobnGfgXp9hu7ThniZaSBSUf2r9/vzw2NiZkX5GilgbQr/BJpRB4\nUiezdgHu2ma0PyNOn7vd/fohpUvEKfL1asfrb/L6SgAOPvIIpqenAQCf/vSn8eyzz9afhBrva9Be\nSZLaO02sfy2A+vbYeY80PAejlT6ZTMbZCdnk86IeG9sr9hqPb5Dvebv8+myo/DgG+uNc3b+0dq35\n+0BNU3H2bPheizB8h4gWwvd9KpWCLMtNGZkZfE0UExKAPgAXvvUtbduLL76IN954AydPnnTUsYl6\nhXK/YgAZ1B0taqzZ2urvN9E63xwRO0ZEMVEAcMFge6VSSWTQsR+dOwZ1h9cYBlEeUf6vriRTV3z1\nVm9zvvrv1NQCRvAMduAMHmtjGykahHWMwlQrjSiJjMONFfoUA43Lj3sxiP0+titOGNQdXvtxFBgZ\nq/6mrCQ7K1msLC0fqv72h21oHUWJ0FppRBQc43BjRX2KgYblxz6mF4gbBnVHi5pvDsw3Rw5wVRpR\nTBQB3GOwvaenJ1IrysIsDiv2kkSNNXtkYAC7I7IiioLHGCMiH7UqQutWpVLB6OgoXv/ww9p+AUwC\n+L3PfAavnzmDlTVrsHv37uZVaeQaE7tGTzqdxuEILySg9mPHSK2T0+FvdlNKHjtFaN3u97cPHMCF\nSkULJp2enlZynwD4qz/7M2UjvwR8EfUVe0RkTWjHqLlMQvh1XikDgGWtHCtGdXQYzEqAfyuYCoUC\nLlQqzfsFhC9BrlQq+P0vf9nViJdfo2VERH4SWistih0jVHNOWdfKsWIw0sRg1kRSOwJ/i0F07Pgm\nrl59x/B2zUVonZmaumS4Am0KvRjDXmGd8kqlggMHDuBlXSfM7oiXX6NlRER+E9YxSmKtNCJVU0fg\n+0exYcMGw9saF6G1b3a2G6Vy8/Y7MIQx7MRLeeX3i3fa298kgL6+2u9LSxLekZ7GT1/9DlZuX627\n7dzcHHbvLuD++63HpmZmClhcbB4t0993zUfKNPatVR0ATgAAduI0nsOT9hoO3agUgO58nqNSROQZ\nY4yIBDCaNrt27Ro2bNiAa9euadtErGBSlyA3ljn49JyS/frddb2u9720JOGtt/px48YcrprcZnm5\ndc6e5WXjfD/6+26+UQYAXLzT3XBtU2e0VOKoFBF5xo4RkQBmif8eeOABZDIZLCwsoKurS8iIhunK\nKLX206tOayzJmKz+L58v4NQppaNx0+TWDz/chVYhUvl8t2GaGPW+Sr2xYVy6fBlbtmxDESU4PSrM\nQk1EfmDHKIYkSUJheNh+kUvyzCzxXyaT8eVLunFllCRJyAOep5TMOngquyNeZqNaxWLRuN4YoK2q\n07N6L1tloVan2FLnz+Puu+/G74yOtv0zwGk+ooiSZVnIz+DgoBxJZ88qPyIBYvfnwPz8vJzJZGQA\n2k8mk5Hn5+eVdrltm93j5HT/fhx/u9TjIeD1sjzufqkeO5GPncvl6vaj/twNyLlcztE+5+fn5Vwu\nJ2ez2br7mj1GruH1aPW8zPbzyCOPaPfbVv1xdTys3hst3reWbQ/yPW+XwM+GoXafd40eT31+YXwt\nAvwO8U0I3/dKF6i5P8NaaTFjOb0QUJuSQJveKhSwUCqhK5dr2wiByCkls5Geibk5pB3uK51OGz6+\n2UjPSTyLPlQXcfS1DuBeWipi3bpp3LhRu836dVvxN3+TwtWr1oHfdqzBd/AgzuC/2b5HjeVr8gd/\n4GKPRNQuwkqCsFZaOLDIZXDUjsArAMbHx9s2bSLyNVc7eLmBAWT1JRS8NlLHbNrxHzX83iqAe/36\nNHbsmMCmTTlkAfR+YgC/tu1ruH37fe225eqP/n52LC1J2Ixfw1/heeTzeUiSZPu+AD+HYSJJEvLD\nw8ju2+fqtaTkYYxRzLDIZfKIfs39zuxsOCoF4P/gyVoHbFJuGcBdbS2UtJbjwDklKVn+y7X73TS9\nnzk1BuoUAOACJBer3fg5DAfDeDb1tQy2aRRmRvNrbn4Q1TlRxhjZwxgjZ/ttBx9ijBr3rRH8nObn\n5+XcwICc3bVLiT/SvxY2Y4zM2uz1eJjGQOVyTY9l9fwYY2ShTeddy9eSMUbtFcL3PUxijIRNpVE4\nmE6FcDVMEwlAHkAWiPQQu/aaQ3kuUXjN1VGpV44dU6YdTW4zMTGBXC6HbDZr+3m5vZ9KxDRYXRsQ\njdckjjilSW5wKi2GWOSyNUmS0A9Am8yJeHLAdDpdC66PUQ4fswBuv+4HiJsG09pQKsXqNYkSq9dS\nAlAAcGnfPqY1oTrCRowefPBBUbsi8l2hUMBcwzZ11RAlW7FYRCaTqdsmImM5tZ/Za/n444+jH0AJ\nwOSpUyiVSujv74/sqDGJJaxjxFppFCUcYiczUZyaJGNmoQVf+9rXeGFEpjiVRonEVUNkJa5Tk0lk\nFFrACyOywuBrSqRisYhMwzZOlxAlw8c+9jHD7bwwIoAdo1irVCrI5/PIZrPKqqugGxQi6XQaEwCn\nS4hakCSp/jwS8TgcSZLw5ptvNm2/5557eGFEADiVFluVSgUHDhzAy5WKts2sUGdSqakBAXC6hMiA\nBNQnSAQivXoTUBZeVKrnxbsA3AKwBOCTn/xkZJ8TicVaaVG3sqL829FRt3l0dBQXdJ0iQFmaXgAc\n10yzqnBORPFzEM/iB/g5/AhfwaW5E3V/c1N3rtGW68q/F+/00sp6kwD6+uq3rflIOT9uvlF7vNOn\nhwF8UdmO7wD4Cs4D+OCDD8Q1hiJNWMeItdJqxjCI8kh7HqvzShkAcKWzPl/Rt956X6sRpfc6Njva\nv2VKfXaOiGJrM97Fe/gxjMKUndSdM/Luul5X95s8mULfXtn27TffKDc93h133GF4W8YXkYpTaT7Y\nj6PAyFh7Huxc9d+GPI6zsz04/07zzX8B7zravcjK7UQUDc/hSQDAMIA3DP5ut+6cuY7WNzGSAiYn\nzf4oo+lP2vmx9niStA79/V+sr9XHhRekw+DrmDJMbAbA6Uefy1opadRg431QOgZRDzb2YgiIXbJL\nfZ6q3QAeGRjgCDjV4YhRTKkf/kKhgIWFBXR1daFYKjkOvGa+H0oS/dTxNgArAL66YwceeOABrUOQ\npC/QHqD5PBKDY1CXp+rwYSDiz4fEYscoxprqRZVKjvdRLBYxPT3NYWdKBP3U8QqASwBuXbuG6elp\n7WdiYiJRKzu91J0jiiLWSiNLZin1o37FSOYkScLw8DD27dsXi7w1Tuinjq9CWcqt17JsxMpKbaVo\nhEkA8lByfCXtPUAkbMSItdLiyyilPvlHkiQUCgVcunQJ3d3dbZ26UKeSVlVHTc6rqxCRjPxX+qnj\nxk6RampqAcU/7wUA3F5d/zejVaK9GMR+cU30nSRJ6AdqtcRKJa5EpUThVBpRiDSlR4CAhHomua6M\nqFNJ23Tb5ubmXOW/iiL91LHZyXHPni4UiibH0miV6KGjAMaEtdFvhULBtMAqp9SiLciLrihhx4gS\n6yCexU/QCQC42Ff/NzUx3K1VzpcVT6I+0ZyTfc3MFLC42JwewSihXnOSvBPowAp+aaR+n2a5roxM\nTSlTSeWG7U7zX0WVftHCP5RKOAHgfd3fvcbXRSFZKleixpMvF10xxY4RJdq7Jl/4amK4i3c6mzqc\nPJnytK/lZeMvJaOEekZJ8n4Wb2Nk5NfqN5rkujIyO9uNchm42bDdaf6rKNOCjUslSAAKuZyQFVlR\nSZaalJWoT+G/4ifoxO282AzcbjRePE2iOYu3V04uuvzgR7Zzv7BjRImlJrEDAEw2ZNN10JmokwIg\nNySac7CvfL7bcPGgcUK9hhGoVLb6n4OtH8iE6SrEucbJlWRIA8Kmj6KSLLVYLGK6VKqbTovjStRP\n4Cp+gk7XWbhFeum1O5D/xbOOL8SccHLR5YcwHGe7WCuNyEdOp06CTo9gmP+qWER669a2PH6cRWWK\nKp1OYwJKXcUFAF25XCin/Lz6j/iK8p9XDwTbEABIVetYa/0igyzeHjm76PKDy2znPko1D/ADYK00\nIt+4mTox7Zi08UspinlrohC7E6UpqjRqwfZSsciA3RgI+qIrSjiVRuQTt1MnUeyYBCkqsTtR/GKq\nAAzYjYkwXHRFBWulEfkkKlMnUWfVAQ2TKCZLHYVyLNcCWFvdFsZjG2WSJCnJNNuQUFW96HrllVcw\nPj4e6vdekDhiROSTKE2dRFmUOqBRSpZ6DHl8C68BeAe91W3nq/9OTS1gZKT9bYpassxWtNFOADh1\nKrSjnUmT6I5RFOISKLqiOHUSReyA+uO3MI7voNYZ0tuzpyuQjlHUkmW2EpWVikmT2Fppak+9dPw4\nJk+dQqlUQn9/P2sCkTK0PTzseWg7ilMnUVQsFpHJZOq26TugkiQhn88jm82y7pdDRcDy2JI3URrt\nTJLE1kpjT52MiA7kjdLUSVRpQaVDQ1hYXETXvfdqo7/M9utNGsDExAT+dGgIi4uLeEh3bMk7jnaG\nU2Kn0thTJyPsMEdMtQ6cWQeUr6d36XQah9m59wWn28MpsR0j9tTJCDvMwRrDIMroBUbs3V5fB271\n7V4A9RXv1dpvjewED+/A5/EYXrDXECIXtNHOrVuxsGtX3WgnBSexHSP21MkIO8zB2o+jyn/sRvbW\nlVtpzqyr1n5rZCt4+BA7ReS/dDqtJNM8dowjciGR2DxGDIwlI60CeSla+HoSkVOJrpXGwFhqZBXI\nS9HDbL9E5BRrpRE1aEeHWZIk1p9qE5ZYISInEhtjRBQULiEnIgqvxMYYEfmmuoTcTFRqexERJRFH\njIgE+iY+j0tPlXGlszYF17iM3MsScmvPoBflulpSLHtDROQMO0ZEAj2GF4An/rC6fFxVv4zc0xJy\nK4cOVf8zBkB8Fm+iKOFFAbmV2FppRKJJkoQ80LLGWruWkHPKjpKKtTDJC2Edo6jVSiOxtEKdQCIL\ndWonYqDliVjLoZXLIZvN+pZDi1m8KS6cnl94UUBecCqNPGuasimVEjdl47QmVzuWkDOLN8WBm/ML\nLwrIC65KI8/ifHWmXalms5ZXqmE8ETPrM8WBm/MLLwrIC44YkWdh7BSIUKlU0P+lL9nKNxTGEzGz\neFMcuDm/sBYmecGOEXkWxk6BZysreP6P/sj29FhYT8Qse0NR5+b8wosC8iLRtdJIjLB2CuwYwyDK\n6AVG6rf/zCJw+vSi4X2M8w2l8bnPTeDNP/4VrNnVzRMxkSBuzy+8KCC3WCuNPKsr1FkqoSuXs9Up\nCEOekf04qvynsadzrgPSxX+MCYPRevN8Q2ngjy8Cx17miZhIELfnFyK3OJVGQmirrEolwMZqqygk\nHxwaGsILb78dyZEwojhxen4h8oKr0igQUVjJ1tPT05Z8Q0REFB4cMaJARGUlWzvyDRERUXhwxIgC\nEcuVbEQUCVr5HiQzUz9ZY600CgSTDxJREOrK9wCso0ZNWCuNAqHVCxsYQHbXLsbvEFFbRCG+kYLF\nGCMKDPOMEFG7RSW+kYLDGCMiIkoMxjdSK+wYERFRYjC+kVphx4iIiBJDi2+EsiqN8Y3UiLXSiIgo\nUdLpNLTsZMxTRg2EjRixVhoRERFFHafSiIgo0iRJQj6fRzabZcJG8ozL9YmIKLKaClIDtYLUAbaL\noosjRkREFFktEzaurCg/RDZxxIiIiCJhDIMoj9Rvm5oyTtg4NbWA4p/34hNXzuGj1WVc6axPItuJ\n30U3LuIxn9pK0SWsY8RaaURE5Kf9OAqMjNVtm53tRrncfNs9e7pQKHYA5zqUDY3J9Q/9iR9NpBhg\nrTQiIoosJmwk0TiVRkREkaUmbCwUClhYWEBXVxeKxSITNpJr7BgREVGkpdNpjDNRIwnCVWlERERE\nVewYEREREVUJ6xixVhoRERFFHWulEREREVVxKo2IiIioih0jogaSJCE/PIzsvn0sSElElDBcrk+k\n01SQ8tSpWkFK5kUhIoo9jhgR6bQsSElERLEmrGPEWmkUB5cuGRekXFhYsLyfJEnI5/PYB2B4eJjT\nb0RkST1nZLNZDAOoVCpBN4mqhE2lsVYaxUF3d7fh9q6uLtP76KfftgHA8eN44e23Of1GRIYap+wv\nATh94AD+x8mTPGeEAKfSiHTcFKTk9BtRwq2sKD82GZ0zLlQqPGeEBIOviXS0gpRDQ1hYXETXvfe2\nLEjpdvqNKAokSUJheBiXLl9G97ZtsSrQegx5zI9430/nlTIA4ErnfbZuPzXFc0aYsWNE1CCdTmP8\n8GHll/tan+jcTL8RRYEExHqV5m9hHBj5c+87Olf9116/CLOz3SiXm7fznBEOnEoj8sjN9BtRFBQA\nThP7wOiccU9PD88ZIcFaaUQeqdNvuVwOuwE8MjAQmytqSjbjCR9O+XilP2dks1k8AuDIkSM8Z4SE\nsKk01kqjJEun0xgfHwdKJeDwYYAnOIoB40liTvmIoJ0zACCVAnp6gm0QaTiVlhCSJCEPIAuwzAUR\n2VIEOE1MicPg6wTQcmaoG0qlWAVQEpE/0oDjVZpEUceOUQJY5dnRhnKJiAw4XaVJFHWcShNIS/GO\ncE1Xicyzo09jH6bnSEREJIKwEaOk10prqsoeoukqUXl2KpUK+r/0pbrRp7A8RyIiIhGEjRglvVZa\nmMtCCMmzs7KC5//oj0L7HImIiERgjJEgYS4LoZW52LoVr2MQa3/+EWSzWRw9utH2Pn5mETh9etHw\nb1NTCxgZUf7fi0Hs995kIiKiQLBjJEjYy0Kk02koYdZHgbfGnO/gXAeki/8YEwb9vD17urSOEQ4d\nBeBi/w5JkoRCoYBLly6hu7ubK2WIiEgIdowEKRaLmJ6erptqilu+j6GhIbzw9tuBP8emeC4w1omI\niMTgqjRB6lK8A8jlcrH7ou7p6alLYy/8Oa6sKD8thDmei4iIok3YiBFrpTWUhYhpfqC6NPYGxjCI\n8oj9/a2+3QsAuL0a6LxSBgBc6bTOlTI1ZRzPpY91sucZ9KKM/Tjq5E5ERBRjrJVGQu3HUWBkzME9\nOmr/PVf9t0UOudnZbpTLzdvrYp3sOHTIwY2JKGokSUJheBiXLl9G97ZtjEUkWxhjRJGThHguIvKm\nKRbx1CnGIpItjDGiyKmL5/Ij1omIIo+xiOQWR4woklrFOlH8cZqErIQ5txyFGztGRBQ5nCahVsKe\nW47CS9hUWtJrpRFR+3CahFoRUgqJEslWxyiVSv2LVCr1o1QqdS6VSv0Ho9skvVYaEbUPp0moFS0W\ncWAA2V27GItItrWcSkulUqsA/AmAzwJYAPC9VCr1oizLP9Lf7t133/WnhUREDThNQnak02mMHz6s\n/HJfizwgRFV2RoweAnBeluV3ZFm+CeB/AXi08UbsGBFRu3CahIj8Yqdj1A2govv9YnUbEVEgOE1C\nRH7hqjQi8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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -370,16 +442,25 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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DkiaonYZ2xXb9+voXRL/82mm3ZwFXU2qlERi1qRLfnEHkCvLLTSQNS5rSpz51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\norZZNe0GC7hWmiyLnWoNRmCE0giMgM61ywKjwra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TDVybNB1YcPVqqoH7SmtlpNsdkPpKR9YU+Zfz+jVH574/ly9nyeUOkc9XrrvJ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\nH3gI2Fw6Umj7uaX+dUoWOMTyaz2x9Hn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"text/plain": [ - "" + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" ] }, "metadata": {}, @@ -407,7 +488,7 @@ "plot_tree(vkdtree, min_val-delta, max_val+delta, min_val-delta, max_val+delta, None, None)\n", " \n", "plt.title('K-D Tree')\n", - "#plt.show()\n", + "plt.show()\n", "plt.savefig('../images/instance_based_learning_004.png')" ] }, @@ -437,7 +518,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", - "version": "2.7.11" + "version": "2.7.6" } }, "nbformat": 4, diff --git a/Lecture02/notebooks/instance_based_learning.ipynb b/Lecture02/notebooks/instance_based_learning.ipynb index 4764382..8620ef5 100644 --- a/Lecture02/notebooks/instance_based_learning.ipynb +++ b/Lecture02/notebooks/instance_based_learning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": false }, @@ -14,13 +14,14 @@ "import matplotlib.pyplot as plt\n", "import scipy\n", "import scipy.spatial\n", + "from math import sqrt\n", "\n", "np.random.seed( 2503865 ) # We'll set the random number generator's seed so everyone generates the exact same dataset" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -40,7 +41,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -48,18 +49,26 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/local/lib/python2.7/dist-packages/matplotlib/collections.py:571: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n", + " if self._edgecolors == str('face'):\n" + ] + }, { "data": { - "image/png": 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388y/KKXUOaFB/ndmWRb/+MezvPaazBWTkxOHlC7uRAJ6V6TUcSlwN0VXZDJm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\n6tgXIjn1n8LCeOv99xkzbhzXX389yR4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SFOWcoOJ+gUhNTeWOO3oxb94C/P66BAJOpGjYQcQKr4mUEADxg2e1gEPExU2l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\nTyRhVxTlzLHb7YybOJEfEhI4bLNxD2I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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -80,7 +89,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": true }, @@ -93,16 +102,26 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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/RSmKcl5Qkb/IWJbFv/71LK++KrViXK7ySOridkTQuyCpjkuAP1N4RyZjfiUu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\noaLX6zcn3yALofr4+mFHbKWFyIKuq4C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"text/plain": [ - "" + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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zFEW5Kqi4XyeSkpLo2bMPixcvw+uthc9nR4qGnUSs8GpICQEQP3h6CzhAVNQM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\nuSoUIufxxxt8rnOOvLw88vPzSU9P58ILL2zwPDo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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -125,11 +144,20 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 6, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.2567409782146192, 0.2601231695617479, 0.26344550051116444, 0.26443723809041675, 0.26448305052448084, 0.2770240302248164, 0.27714643320624804, 0.27767076080196584, 0.27832688003753975, 0.2787115840742394], [135, 57, 32, 19, 171, 38, 81, 13, 74, 185]]\n", + "7\n" + ] + } + ], "source": [ "points_x = clump1_x + clump2_x\n", "points_y = clump1_y + clump2_y\n", @@ -138,14 +166,48 @@ "\n", "kdtree = scipy.spatial.KDTree( dataset )\n", "\n", - "query_result = kdtree.query( [0.5, 0.5], k=10 )\n", + "#### Note: The SciPy implementation of KDTree.query is built to take in an array of query \n", + "#### values, however the assignment 2 spec refers only to replacing a line of code\n", + "#### where the kNN query takes in only one query value, and not to replacing the\n", + "#### line in whichthe kNN query takes in multiple query values. Hence, the following\n", + "#### implementation of kNN with exhaustive search only handles one individual point.\n", + "\n", + "# dataset for the query\n", + "q_dataset = np.array( zip(points_x,points_y) )\n", + "# point on which we run the query\n", + "q_point = [0.5,0.5]\n", + "# number of nearest neighbors to find\n", + "k = 10\n", + "# array with the computed results\n", + "query_result = [[],[]]\n", + "\n", + "# algo\n", + "distances = []\n", + "p_x = q_point[0]\n", + "p_y = q_point[1]\n", + "# compute distances for all points\n", + "for i, p in enumerate(q_dataset):\n", + " distance = sqrt((p_x - p[0])**2 + (p_y - p[1])**2)\n", + " distances.append([distance, i])\n", + "# sort distances on distance value\n", + "distances.sort(key=lambda x: x[0])\n", + "# unzip results\n", + "for i in xrange(k):\n", + " query_result[0].append(distances[i][0])\n", + " query_result[1].append(distances[i][1])\n", + " \n", + "print query_result\n", "\n", - "clump1_vote = np.sum( [ 1 for nbr_idx in query_result[1] if nbr_idx <= clump1_N ] )" + "#query_result = kdtree.query( [0.5, 0.5], k=10 )\n", + "#print query_result\n", + "\n", + "clump1_vote = np.sum( [ 1 for nbr_idx in query_result[1] if nbr_idx <= clump1_N ] )\n", + "print clump1_vote" ] }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -156,7 +218,7 @@ "[0.0, 10, 2, 11, 11]" ] }, - "execution_count": 45, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -176,16 +238,26 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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e+RelKMo5QUX+AmNZFn//+zO88orUivF4yiGpi1sRQe+CpDouBO6i4I5Mxqwg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\nEZEIU8iLiESYQl5EJMIU8iIiEaaQFxGJMIW8iEi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"text/plain": [ - "" + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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FPU+3jGmaAcMwhpGZfjHKNM1NhmEMCbd/BrwBfGUYxloktfLPOYX9auepp/7IqVP1CYXa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\naY3rw59NRKhrI1Z6lVCIRk2asHHTJo4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+ "text/plain": [ + "" ] }, "metadata": {}, @@ -210,7 +282,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -321,16 +393,16 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -370,16 +442,25 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { - "image/png": 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DkiaonYZ2xXb9+voXRL/82mm3ZwFXU2qlERi1qRLfnEHkCvLLTSQNS5rSpz51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\norZZNe0GC7hWmiyLnWoNRmCE0giMgM61ywKjwra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TDVybNB1YcPVqqoH7SmtlpNsdkPpKR9YU+Zfz+jVH574/ly9nyeUOkc9XrrvJ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\nH3gI2Fw6Umj7uaX+dUoWOMTyaz2x9Hn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"text/plain": [ - "" + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" ] }, "metadata": {}, @@ -407,7 +488,7 @@ "plot_tree(vkdtree, min_val-delta, max_val+delta, min_val-delta, max_val+delta, None, None)\n", " \n", "plt.title('K-D Tree')\n", - "#plt.show()\n", + "plt.show()\n", "plt.savefig('../images/instance_based_learning_004.png')" ] }, @@ -437,7 +518,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", - "version": "2.7.11" + "version": "2.7.6" } }, "nbformat": 4,