{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem\t1 [Testing\tFaith]\n", "Download\tthe\t“old\t faithful”\tdata set\tfrom\tblackboard.\tThis\tcontains samples\tof\ta\t2-D\trandom\tvariable:\t\n", "the\t first\tdimension\tis\tthe\tduration\tof\tthe\told\t faithful\tgeyser\teruptions.\tThe\tsecond\tis\tthe\twaiting\t time\t\n", "between\teruptions. Generate\ta\t2-D\tscatter\tplot\tof\tthe\tdata.\tRun\ta\tk-means\tclustering\troutine\ton\tthe\tdata\t\n", "for\tk=2.\tShow\tthe\ttwo\tclusters\tin\ta\tscatterplot" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from sklearn.cluster import KMeans\n", "import seaborn as sns\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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eruptionwaiting
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" ], "text/plain": [ " eruption waiting\n", "0 3.600 79\n", "1 1.800 54\n", "2 3.333 74\n", "3 2.283 62\n", "4 4.533 85" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_table('data/old-faithful.txt')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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DPxKP1lndVbvAtnWHQmFX5k2VnWut+eLn9M91zwy89cHs2MmuzaprWFazUHVr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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot.scatter('eruption', 'waiting')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_pred = KMeans(n_clusters=2, random_state=0).fit_predict(df)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ajQYFBQWsG6ji4+PRsaOX9v36yklkZH9s2bIF06dPZ41fuJCMnj37obS0GiEhEYiJ2Yb/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\n3RT85MmTAEwRHBxSq2NWJD8/D1FRxzBr1kzlmEKhwLfffocZM/7H2n7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tx9Y0TeVEU2Qy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\n9H+BORnu7T/OgAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df[[0]], df[[1]], c=y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### k-means finds the two well separated clusters in this case" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem\t2\t[Generating\tMixed\tSamples]\n", "Implement\ta\trandom\tnumber\tgenerator\tfor\ta\trandom\tvariable with\tthe\tfollowing\tmixture\tdistribution:\n", "$f(x) = 0.4N(-1,1) + 0.6N(1,1)$\n", "\n", "Generate\tN=1000\tsamples\tand\thistogram\tthem.\tTry\tout\ta\tk-means\tclustering\troutine\t(k=2)\ton\tthe\tdata." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jPQsRTz2am5OGXTGeg5cG98zMdBWXhkbU1n6DwcFnYMUKJa3vRgAHATyCU6c4\nf+BDh4owd+7rGBycpKhTNbGjJoBC7T7h5gRtJG0nC7+/CT09nYiPL0YgIASF98pBIdY3qqzMEvnS\nay+kxbAD4NejubkKzc3CPerqypGWdhKs/njs2F9x/fVlmDBBv37dWpQYFfVaC1+r4tnumB/uBRER\nWhwXqYcPH8Y111yD//zP/8R3vvMdp29PeBT5IaqurhNITp6JqqpuXWujWIhJT/pX6076aiLBTgw9\n9rX3oLS0WjQRAUYnDK2yzJnTpFlG6xYibvBPSNiJ/n7+8Fp4sghpwbZ6HsTg4DVgTY5GrFDi+q6p\naZFZjxvR2TkFNTXCIRn+EFtVVYspsRkO9wm3J2i1tJ1q/Uyog2fALQiKER/fjauvDlqKyOE06t8o\nC7t3PzjyG6PjRF5eNg4c2CkLgP8WAOW4kJa2BlOnSqOfxMS8jW++Kcc333Bl0YueEG6roVp76+o6\ngfb2IlgRz3bjm3o5cgLhPI6L1B/96EdO35KIEDIz0/Hww8C999ahvb0I7e3GrI28EFM/6c++1ohI\nsJpQjSUOOzo+gNUJQ01sit+9tLQaBQUfGBLnas+QD/5Hj05DfT1fZvvhZpxGOeG8CW7CZ8dv5KIm\n6MPX69KlFaitFd9DfIiN27Jta/sWeXndOH/enNgMh29cOCZorX4mrQPOrzMQCOLiizeFXaACxr6R\nmYVgZmY6Zs8W96kGAJ1gjQuDg5eOWGyFNJ7monWEy2ooDsHHctlKTp5p6lCn+J52dx0oiH904cnT\n/TExY8JdhFEJX69u1u+OHe+K4iwC/EC8Y8dmvPCC9qEXs9dq/T4/34fc3Dq0tgoTq99fjj17fMjK\nyrD0bmr5zCdPHkBsrLRuzdRxXV2jY2XlMgUJdfWTn+xAfT1fZv7vxZgwoQPXXZeM/PxsQ8+oq2tE\nSUk1Tp4ch0mT+g1fZ+R+M2d+jVmzChAITMLnn3fi1CmWL3AQ06aVY/XqmwEYr1/lN+MPyjSACwu2\nGkAxzp9XRl/Qa7NcDFXlRN3ZOX6kPTjNggXzsHevDyUlz+DkyQRD38Lst5O3YXY/uxb33FOC3l72\n4T9WHTjdhozgxjeaOXPMcJ9qBNeGJkJtXBD3x9tu280UdlplWbXqJvj95ZL0tNOmlWPVqptca2PK\n8ageCQkrcfnllyItzYf8/GyUlFSLxhUe6ViofU9747F8nJMTirku2glZ3QZd5IorrggePnzYzUcQ\nHuLDD+s4dGhPAAAgAElEQVSDEyc+FgSCiv9cf/0O3euvu26HqWszMzep/v7OO7cEgfOyfzsf/P73\nt4yU9c47twSvu4777Ycf1ht6v8suKxfd93zwssvKDV2rhV5Z5WXgy33jjT8PZmcXaL6DlTLL62bv\n3tcdfW+tMknroj4IbA0C24NTp95n6XnKZz0z/L/Fz1FvR1qY+W7hwok2q+yX9UGgnFGP6nXgVt/R\nw41vJLwL35bE9aH+blbL8uGH9cHvf39r8PrrdwS//31jY5UdjJTT7PeMhL5CeBNPWlJPn+7H0ND5\ncBdj1BETMwYXXTTOlfqtq2vEPfd8gq4utlUhObkP3d1/07zHhAl9hq+tq2vEZ58dk/2eO8Xd0NCJ\nhgaAZUFpbY1DdfWHuOeeT9DaKhzyqK0tx549ZzRX9bNmzUBl5RmFFWvWrBkj5bNSx21tcaplFb83\nX8dcufkDQYJvJesdjJRZbOGKi/saR45Mx8mTQt384Q8rZT54Phw//lMUFW3GCy/MMPSO4nf48Y/L\n8c030m1P/n75+dmoreUtR1z8xmnTyrFnz32YNWsGTp/uN1W/8vePizuBI0fKcPLkWAgWVXk7Aoy0\n2QcfXCwqq2DleuCBxbptPVQUFe3H8eNSK6jet5O3YWW/FLtMsC3e8jqwUg4ncOMb8W3qX//11WGr\nvxAQHxiLCRP+isrKf5f0MTtlmTVrBsrL75f8zWrZjVizjYxHRsYVs/d0EjfnOoKDr2O38aRIHRo6\nP+KwTzgPq37t+gtt2/bO8FZOI1h+jytX3qj7TVeuvFEUAF/72m3b3sHAwAOiZ0lPcQNbwBIeKSln\nRGUVJszW1hXYtm0TKirmapbxyivnYtcu6W9Y72WmDaeknFEtq/geXLmXgPPX/ApAmaF30CqzMhXm\nFsjTgEqTMmDk7ydOJODcufOG2w7/rG+++Y7q/a68ci4qKoIKf7Mrr5wrqQsz9St/f7+/CcuXP4/2\n9iA4wSVuR1y7Gzduq26b5csqzio0Y0YMhoayPDN+nTjBTkbBfzst+DpW9kte4ANqGYvk38tOOexg\ntD1Zue+iRUmi0HJ8nNUgFi3axLw/XxZ59AS7ZTGKetrboKS/Gh2PjI6FZu7pNKQlIh9PilQitDhx\nSlk4hcqyKuTaOFUvFTy8IHrvvdMA5g8/cxuALyEVbbdCnuqQP2BSUGD9AJQbGD0M09LSByH0jTPh\npJQHS8wlZTDTdoRnsQ9F8YdBrCaUMEpmZjr27r0P995bjra2sZC2o7EABjBzZo/hts/KKuSV7DdO\nHLyR90vuAJD4ntoZi5wqh1Xcak9WDrGpRU8IBYWFr6OtbQP0Dm65cTiPTuQTVnFVpPp88smO8CJO\nnFKWTkJSq4KZlJxaE4ogiJYA2D78PP5ZYoEK8GJ5woQHcfnlcyXPS02tRrgmTBZGT6t2dZ0AwId9\ncSaclDLEDeu+6kkZzLQd4VnhjzIgJBPgLarijENBpKVtMnQfo+9vd6fC6vVOiQNxv+T6obl7elmk\n7Nv3BjZsOIC+vlQkJnZg3bqbsWzZbbrXhfuUOatNAOwA+35/Ew4f9sHIwtaN9wp3XRGRi6sitamp\nyc3bEw7hRCw+vUnICWstJwiWgLMmPgyp0GFZajKwaNF0VFTkmiprODBi7UlJEYd9cUboKS1cOVBa\noNlJGQDg/fd7YLTtCM8SW9vjMWXKX1BZeZ9qOxBPxpMnD6CgYAlmzZph6j1ZSC2q1tqCkb5jte2L\nwwA1Nyehv9983/GK4PCqSNm37w3k57dhaIjzke7rCyI/fxuANwwLVTet/jxyQZqTk4aNG3skberQ\noSL4fBPQ0cEOFRYIJMHowtaN9zJzz1AnySC8C233E65sCcoHFqNbTVpwE/9bEA5t8Fu08Zg48WOM\nGWMsx7pXJ0w9ZszwqYaTWrQoydI7KAV7BlJSXkV6+jqcOuVTTcrAC69Tp1JgtO0oM3llYOrUcl2B\nKhd4fv8uVFaewZVXavsPG8FuWzDSdwRrayP4VJptbf0oLNyH1157gnlf6XsXQ2jzgLjvGElNGW7B\nYeSacImSDRsOjAhUDh+GhlZhw4YVhkRqKGD1gQMHlIcZuXBbUn9yvp1wY+fNkC9s4+OLPWHNFhOO\nJBmEdyGRSriyJSjGyFaTkUmKm/gTRfcRtmhnzx5CUdFCw2JDXla/v0mRe9trAyJLUE6dWoPKyusd\nzuPN5avXSsogFV7qFl35d127Nk0zTa4c1nb68eM/RUnJZsWhDavYEXFG+g7XxvmYmkLUhMOHi+H3\nNxnImc4+dGQnNaWXCKco6etjx3nl/m4NpwU3qw+wDzOqW/W5sZM/xc/7Xvdj4cJ2z7UVPRcasrJG\nFyRSCdcti3pbTUYnKS4l4R4MDLDvY1VsRMrK3Y3vpDbg5+aWaU4URg7Kqderfj54HrXtdCPpUUOB\n+JuI0wGXllYjLw/DPtD9EDJpCfUZCKxW3UmQvjfb/9hOakovEarMXay2npjYgb4+Zd0mJnZYfobR\nsaSurhHbtr2jK7bYfYB1mFHdqq/cxeAWU+vXL7b0nm6i5UITKWM14RwkUgkA7vpW6W01GZ2kMjPT\nsWXLYqxZwz7EY5VwpLe0ipPfSWvA1/O1NHJQzvkDeTzG06OGAr10wHl52Xj77d8hEDDu9y28dyOA\nDki3/FmpKbkUr0ACDh48qmqh9SKhyE+v1taXL8/A1q3bMDS0auTvMTHbsG7dzZaeY7TNf/RRw3DM\nY32xxe4DysOMKSln4POxXZ4iycVJy4UmksZqwhlIpEYRdXWNeO65P6GtLQ4pKWdCNkjpbTV1dBgP\nCbVs2W2YM6dJMdgCsLxdH4pJEpAehOnqOoGUlJmYMcMXtslCa8BPTQW0fC2Nb3M7fyDvsst2IT/f\nW3502pPnQ1i48HXU1Bj3+87Ly8ahQ0Xo7JwCYCM4sVqMMWO+QnJyP5KT56CzsxmCkBVcCbq7hTBY\nfNm8vDUaivBUat+nsXETSkrS8NRT96O3N8XU6X4WRtv8009XiZKJCOVhiS12X2MdZuTcdNSEaKgO\nebEws0WvNbZ4LXwg4T4kUqMEzueyTpJlyYltEiODj95Wk9lJiuVPamcLyI1JUr6VJ5zG5aMTsH09\nQ4E01ix7wC8qukZThLIsMzk5acNt4QOkpvYjLq4XTh/IE5/u91KQbj1xsn79HaaiCGRmpmPu3NdR\nU8NHWeDcKs6fP4iurvvQ1eUDUI+YmG3DGXWkrgRtbStQWLgGLS2Xe35rNBTRNrS+z7Jltzl2SMro\nWKKW3IAltrSsoMuWKcvgtRP0Zsdnrff1WvhAwn1IpEYJpaXViixLdrdJjA4+eltNRicptUHV7haQ\n05MkaytPOI2rflKbVVanJxLpN3sCagO+ke1BZexMaVtISSlCaqqxiAtaiJ8TGztmJBC6l9ATJ1a2\nWwcHJ8nuJ05HCgDzMTQExMU9j8FBpeBpaOgbSTLA/y1UW6Nm2q2bW9F8OT7//ChCIW6MjiWTJ5uL\nc+y0FTSUvp1Wxme19/Vi+EDCXUikRglubGmbGXy0Blkjk5Qd/0k9nJ4kWVt5wmlc3oIi+BACA8PZ\npKSTe1zc1zhyZAYz7qE4FJQZESs9lR8HeUzU1NQyibXU6MTIagudnQW47ro1+O53Q+MHZ0XQO3WN\nkcnTrNBQCl+W9W0+EhPPortbKXh8viTG793fGrUigOwcelT7ftJyNEItA52TGB1LHnssB7W15Wht\nXTFctjcRH9+Dnp5gSPyJQ+nb6eTco1e/fHvo7ByPqVMH8eCDix0JVUeEDxKpUQLb0lOPY8fqsXRp\nhSUB4fTgozVJ2fGfdOL5ZmBv5fGncQcA1ENIb8pNmM3NW7Fv3xuyAN1boBb3kA/FoicG5JP40aN8\nPVUBWAdughT8hK+4oh2ZmffovqP6fcX4MDh4KXbvzpVc50aoLyvCyNlrslBZmcWcPJ3LFsW21s6b\nl4iWFqVATkuLMeUHq/a+WiLQys6GU7sDet9PWg5n4gobQS+83apVNyE7+yrs2XMGTzzxKA4fnoJA\n4BEEAqFLqxsqP3zAujuVWjvRCnUobw+1teWoqAh6yr2FMAeJ1CghLy8bfj+/cuf92d5Ge3v58Alh\n89s9oczHrTWo6vlPhhr2Vh5/GjcHwE4A0kDc/f05eOSRX+Ls2RdFf9eeSIyIAfmgnZCwcrhsvJAW\npwMFBgdLdN9P+77qbcHNLUZpXXBW6ra2b7F06R9x+eVXMg+oWbEm6R2Qkk+edt5ZbjWKi2vHkSNK\n94n16znHROVhwixb2bTq6hoVZT90qAhz576O7m6fahYsvRBCd91VNRx4PhZALA4dqsJLL5lvA3rf\nT1kOrq1ffnmJIgudW7CTUZTjt78dj6ysDCQlTUQgYNz9R+s5ZoR/KMduK1v0VvoNqz20ttLJ/0iH\nRGqUkJmZjj17fNi5cxtaW2Nx9Ohf0d4uzbRidnC060tqBq1B1WvhVaRbefLTuH/AgQPj0d8vfo8G\nAB/g7NlFkL6ftt+anjWEHQT8gWGxDM17a6F9X/XQYG5uMQp10QDupPst4Or0v1Bfzz6gZsWaZPYa\nu+/MssqptXOWQE5L+wL9/Q8CuBjz5sWgoOAOw/2ipKQabW2PisreiM7OKcOHudR9q7V2NgoL96Gz\ncw7E2+6dnc9rZt9i4fc36abkDaUQU0NNOG3aVIzy8v9wxKJpRdCF0rfTyvhspd+E0jpMhA4SqVFE\nVlYGXnnlKnR3/w233rpLFGORx3yH1psElQNoPQ4c2InZs6eZCr+kN6iGM7wKi7S0L3HmjLJeli3j\nQmXt3y+ePPkDMcWQTqo50PKj05uE2YP2fMyc+TKSk8/i8OFikRXH+CSldd+ZM9UnIjcnEaEuxHWp\nbaGyImLMXuP0Oxtt50K/ewaCS0m5qWdxCRPEZRcf3FI/na61s/GDH1RAaM8Y/u/70Nj4gOFyGU3J\nG+pDNqzFuNr351yC7Alp/nkHDx5Fd/dOaLV1OaFe2Jsdn630Gy8sSgjnIZEapdjt0EYnQeU27AcY\nGNihat1Sw2vWUjXq6hpx992H0d6+GXy9fPZZmeQ3yslz7PB/50Ca8CADKSmvIj19HQKBSaajIqh9\n47S0RFRU/FzTKqeF1n13737Q9HV81jE71nahLvi6VBdR4ni1etZf9ecYEz56/cytMEBOWK25hAni\nsg+J/re6lV+rr6od5gKSLLybdkreUI4ZatbMtLSTYNUT5xJkXUhLn/cczAo6wHsLezFW5idWXU6b\nRif/Ix1fMBgMhrsQcrq7/+apGIijBXH4no8+ahge5KSDY2VllqFBnLMGiidBAAhiyRLON49n6dIK\n1NbmD/+/rZBat9jXRAJq4uLOO5/Gn/+8AfJ3vP76dXj11cck12/f/i5OnkzAsWP1IteLBgBvAYjH\nlCl/wd6992l+D/F91E83W/vGWs+U3rceCQn61nG18qxdmzR8YEy/nOI2LB8j/P4mLF/+/HBdyi2p\nABDEddfxsUPNlV3+HLU6N/rOlZVZAODK9wHk/U7g6qtL8Pvfa/tj8nVcXf0hli//ZLh8jeDEEO9L\nzbtVSAWiXtm/972nUVOj3z/U8Pub8MMfvoZTp54e/gvfX7iUvC+/nBuWhavaeKhsb5xw+u1vrxuJ\n9cu3Jz6trpEkH9LnjZ5xlcfq2MXXZUfHOEybNogHHqDT/W7BjxOuP8f1JxCexK6Vweh2jHRFbDyA\ntV3cDFSt5QPW0CC2NvH4hv8uoIwxKk52kDE8IGsLVPl9WP+2dm0LNmxYgb6+VCQmdmDt2ptt14O4\n7TQ39w4foNG3jqu1ObbV71osX16C6dPnG/5+mZnp2Lv3vuG6vAUsKxswVjTxAcB8DAzswIwZxid0\nsxYoNZeY3Nwy13x0nbDgZmVloLIyiO3bN6OmpgXd3Ssh1CmXlGPMmP9ARsYMwwJ//fo7cPfd0sNf\nqallKCi4Q/ed2Nv87JS8TmBmDFEbDwcHL1VEfVi16iYsWDBvJNZvZqZ2Wl3WM6XPk+/ARH7sUKvz\nE983tRazRGRBIjWKsbPdY3Q7RroFYy6AtVXcDlSttZUK9ID1jtzf2WUtLa1GUlIfhoZWMK0oVgW3\n39+EjRt7Rqy0fX1BbNxYjjlz7Mdh5NtObm4ZGhqU2Y7UhBarzSnT4nJuIazIEwsWzIMWwuT2h2HL\nlLROCwoGYHWhZPY76LnEuOmjq7WNbKZ/8N+Ls8zOH/49H7JsAOnpqaiuXmm4XJmZ6XjxRWuLY/Y2\nvzsxRs2OIXoHO8VtPjZ2jMa7GetH0ueFLrwWj9tGAOHeQRQVXeM5ty4idJBIJSxh1JdKaXUz5wNo\nhcLC19HWJt5SdDZQtZa4mDfvQvz5z9LDTsDzyMhIVNyHNRHGxJSjuDhLIlCtCu5QBOx2QmgpJ3h5\nZiWh3Hv3aotUQHvxFRf3OlhiIj7+pOY9nQqJI65/4b0bISR2OI4vv2zH0qWwNflrWaKsWHCFsopD\nlgWRlraJWVdaAsbM4lh8ry++4E/z889/HEAKAHaMUTtCymzfsXtIy2w/Uj4vA1On1qCy8nrXfG7N\nJBmx85xQZcIiIgMSqYQllDEcvwYwFgUFA0hNrZZMCPKtbTcPMvj9TTh82AcrwsnopKZlNbnttqtQ\nW/sJAoFicKKjHykpZ0ZiWYoxMhHaEZqhCMnixIla9YNkYpwq91nIIyYAzyMYPKt5lRshcfLysnHo\nUBE6O6eAE+WNAA6iq+tpdHXZn6DVxKCVdmEm3JxTIkN5ry2QWg9ToLaYycuD5XIYCW8lx677lNl+\nFN5DYdpJRuwQykxYRGRAIjUKqatrxLZt79jequEnQW4QS5BMYHrbh25RWlqNQCAJZoWTmclVbcLO\nyUnDL3/ZjUDgxwDeBhBEQkILcnNnD4vfDyT1bUQsSON/KtOoamF24rNieXIizI98wuUOkrnjFjI4\neCmAayHesgYuR0PDJ5qZ19wIiZOZmY65c18fjjvqg5YF2ckJ2srCwqgoUhMZhYVrkJSUYqptKe91\nK6QLDPlihusj7713Gh999LylONBGw1up1ZHVsc1MP7K7HW49lTJfF+4tfinWKSGHRGqU8dFHDbjn\nnk/Q2urcdoqXVr/cYHYz5AcJ4uOLNYWTmXfQOgAk1Ot8AMDAQD22b69iZuYxIha4/81Oo6rnf2d2\n4rNqebITMJ5HvOApLPwap05Zi+GqB1efGRC2jBsAHER3907U1qq/t1MhceTvMTg4SXRPewcLjYoP\nqwsLIyKMLTIacfjwJZLvqZe+lx1jlPtmEyY8iMsvnytbzPDRBlajr8+Hvr4dsFKXRsNbOY3amAJA\nklI1JydNljrZ3PhtpZ8rv4N7Zwus9DNW29HzXSciBxKpUcbTT1ehtdWYtcbopOel1a8gQgBxTvqF\nC9s1B3Gz72DsABAAvCXyweXuKWxJ8mLhWvBhdBISmpCTs3jk6ry8bBw4sBMDA/I0qo/oLgLMbAla\nWWg4ETBe/X6NAIoRH9+Nq68OWhK+LJQC7U0A+ge/rAg7I/UvnZStT/5mD0O5tVXMFhlvIhBQr2Nz\nMUYzsGjRdFRU5MqiYsit0GcZ1+rXpTAO8CKHG0MmTPgrKivdDW8lH1NY9XLgwErFWGDGIGCmn/Pj\n/+efH4W0LrWTjBhBbW4x28/U2s7evT5kZ19luDyEdyGRGmVwmU70xZiZSc9LmT6kgxwXmobLb75Y\n8zon3oF9D3X/Sj5E1Jo1VSNCdmBAegI/MzMds2dPQ329tUWA0S1IKwsN5YTXiLa2Xvzwh69ZOmEs\nvR93QCcQCOLii5Whhay6rMgF2hdfdOLUKf33thsSRw1pe1Wf/DkL8z40NPTB50tCRkYM1q8XhLvZ\nRYZbbjc5OWl45x3p4cj4+B4EAup1rFb2tLQ1mDpVO8sc/03effdb9PWJn2EtLJPy1Lw74a14tAwB\n7PTD6TDbT8UY7efS8b8R0napnWTEyDtrzS1m+pla2ykp2UwidZRAIjXK4DKd6IsxM5NeXl42amuV\nsQ/DEafPqphwwreSExPlaG0V7pGQ0ISBAfX6rqpqEbkCAKx6njGDi5vo1iLA72/CsWP1UJ4070dc\nXLvit8rT1oCw3foITp3yYf9+824kRidQuy4rYoGmTFELqNWtG8KOdQDR55NO/gBw111Vkpz3NTVB\n3H13GV58EYb9mwH3Qwdt3NiD/v4ccBbIeCQkNGHu3Dj4/WbT97JjjKpFClB+R05cTpmywlSs3VCl\nUv3oowasXv0CamunIBBgt2N2vVizEPMYXYwrF4yANMRVjmvuYWb6mVrb4VL6EqMBEqlRxmOP5aC2\nViqkWIOwWctaMHgKXJYfTtwEg2dG/s3NiZGF0UFOXq61a9Pw1lvChJiTk8Y88KT2PpmZ6dizx4ed\nO7ehtTUWKSlnkJOzGBs3qk96RurZzYmTt2q0t+cD2ABgMsS+r0eOlI34vmqftrZ/6MfoBGrGZUWP\nUIkSLfTaa25uGTo7x0Oe876j4yFGOCv1ugtt/GDeJzuIxERti2hcHDt1KCvGqBrs73jQUEIMMaE4\nNV9X14h77/Xj+HFxXwPk7Vj5TRsAfARgI4C1sNJejbZ3tj/wPFx+eQkqKrQzlunhpHuYWrvnUvoS\nowESqVHGggXzsGfPGTz7rPYgbGb7u7S0Gp2dBZLfdnYGbYeCsYJRQaw+Yd+oIsi4f1+7tkXz4EJW\nVgZeeeUqSaaTOXPUw24ZqWc3J06psNgHTggJ1tSOjgEUFu7Da689oXPa2n42MaMTqFGXFSOEMpSP\nEdQPEMVC651zctLw5pvbMDS0CnzdxcRsQ05O2siv3T7gaMUi6vc34bPPxkLu5mB2J8bJ7+h2BJKS\nkmocP/4ouDSzYgHK9bmDB4/C72+S9YdGAOUArgLwT+At1cCnuPvudMPvabSe3HThcvLeamNGfn7k\nZtsipJBIjUKysjKwe7d2PmMzFiatlbGdidF6hh+lgAQguVdPT69qwP+8PIhywEv/fcOGFaZD22hN\nemaSIrgxcUq/3WRwkyF3Spovz+HDxfD7m1S+czNiYnIxZkwQg4P2Jh7WBCq3Zq9adRPDZaUBwJv4\n4otO5OaWmRYnTtStE7sF2geIkqE1sVdVtWBoaAnEobWGhm5BVdV+LBsO0ev0AUf5O8fF9aqWUa2O\nhQVuI8QHHa+4oh2ZmfeYKo/b4tIpuK1oH4SDctI+193NJyXIGhH3XFra8wD4Rcj84bsFsXfvCvzs\nZ8afb6Se3NxhsHJvrd0rlujOyspQvRcRWZBIJZiYsUxorYytToxOZvgpLFyDlpbLJfeKj5dafvnf\nt7T0DW9/f4f5799+m2TpfdRwy5JnLTHBAFin3QOB1Sgt3YTUVIh+y/ugbsTQkA9DQ/WIiZFa8qxM\nauIJlNUG/P5y/PKXl4tcVrgA+HZ8Ye3i1Da6kClNsGS3tfUjJeUEUlLGorNT3drItb/5EMQLhv/+\nzsj/dtKCxXrnlJQipKZKfdP12oD0NL0QNmhwsMR0mazgtisS6/7cVnQQwuGub6EeYeIhUVrak2CN\nPX19qY6Vl8fNHQaz9xba2hJwUVASceDAHmzZshjLlt0WMYsTwhokUglV7PmDlY/EDrUyMTqZ4aeh\noQ/d3SsgFV7sgP9dXSfQ3l4Ezr9W/u/1OHv2W833qatrxHPP/QltbXFISTljyPrrxCRpNW2h8nT5\n/wc1EV5UdI3ot0of1KGhE4iLuxcXXjjFcrxUMaw20Nq6Ar/7XTH27FmMZ5/lLUw7YaadOI0T2+hC\npjSlJbupqRjFxdPw8ssfobGRHY/WiAB10jrGeufOzgJcd90aXHHFo2ho6IXPl4S0tBgAWar3CUdk\nEL6vtLT0obk5iRnD2AkxprZ4+cUv0uD378Lx4z8d/uWvobfw5eqjA6y6SkzssF1WvrzysWj37gcd\nubccM8KSa2tLII4VPTAQxJo1W0eioBCjFxKphG20VsZ5ebA0MTqZ4cfnY1k/b0V8vDJgfHLyTLS3\n+8AKYZOQsBMDA3mKv48bt3UkTFBubp3oUI/2pOeUBc5O2kL5t/vyy6/R1aW+Zbt2bQs2bFiBkyeT\ncP68eLv9fQBPY3DQh1On7MVL5VFrAydOJIy4rHAWJnFEggEAOSGN0WtnG50XBgcPHkUgMBtqluyq\nqk147bX1qvcxIkCdtI6pvXN3dwJ6ei4dWRTW1PBb18o27fc3oaenk9kP3Tq4Ju0rxXAzw5fa4qWq\najNefXUJioqewYkTY3HsWKduhrW8vGz8+c/f4Ntvt0HY8g8CWIspUy7QzJZmBOUYUo8DB3Zi9uxp\nmDHDF1Y/ba6tvQX5tzISK5qIfEikEo6gtjK2OjE6meEnLS0GNTXKoOALF1YiOVmZNYoL9yQO5h2P\nKVP+gpSUmaivnz98H95/7mvExp5AQUHccAYc4/6qTh1kkWbJqQLQDTOiSbrFfs1wgHRlggE+xBD3\njmJLszvpPNXawOTJAyNxUhsbPwWXplEQOcDziIv7evh93I8sYaatqlu8nwNwA7Qs2VoY7WdObY2q\nvbOwE6HdFtQSN2RknEJiYjIKCgaQmlrt+PeS9jnnDuCx0AqPtGDBPLzwwgycO3delpRAfYHxyit3\nY82a59HY+GMEg5dg/PhjiIm5Fn5//sh1Vi3B0nppAPABBgZ2oL6eC38XahcaMVxbS4Sb34rwLiRS\nowizW9FOYWVidCrDT05OGl5++QumtWb9+mWM7W+x5XcegAxMnVqOysr7ZAJ2HoDfAehHb+/G4ZSa\n5lIx2vHXFQuvo0flhy9YrgpBxMV9LUmxqCZi1BIMpKXxPpNyS7O5yd5O+s5p08px++2Xi+KkPgF5\naCbgPvh861wPuaRVTlZb1bZ4D4DLlDYGVre/Q+mbp/bOwk6EGGVbYCduqMeRI1WSRABOfy9pn3P2\nAJ4co+GRtBYY8r7yzDNCSC0uNmw+xG3f6uJQWi/uLDqtwmXd26MZb5oYvZBIjRLMbkWHG6sWWPbB\nGyZbxzUAACAASURBVONpNo27LjSCszTugGDB/ApmBIbVPNVy4ZWQsBLSbWKlq0JKStGw1U441KL2\n/bkEA0sgxL0dQFvbLejvbxGVVbA0x8T8FUNDxi2JdtJ3rlp1E5577k+idjxZ9lyA2yKfZNpSbdXq\narStKssjFgb8N1sGI5mS7FiInbAuq72zsJDTbgvsBZp6CmGnxJG0z4n7ye8BfA4nD+CZCY/EWmDo\n9RX34o26a2E2S2ZmOrZsWYw1a6SZzEIdz5gIDyRSo4TS0mpRhh4g3KtjI9i1DJlJs2nkufzEXFj4\nKGpr/x8GB6+B1IIpTx+oPZBasRazUyU+AJ/vRQSDSgGZmNiJG264CD09Z1FTI/dTvRbLl5coMvK0\ntPRBfEiBm7x2YXDwBKSimrM0X3PNGrS0iMX7m4iP70FPT3AkEYCy/NIT7HwsVladi79FbOwYnDhx\nWFQG9QxqZiZxliA4dKgIc+e+jsFB/dSPRtqqsjzisvPfrAoXXfQFxo8/jJSUmUx/QDsWYiety6x3\nNuqDbjaFsFNI+xyXlSoubjnOnRuHYPC/4eT4aDc8kt4iS2uRa3YhIq0XY1kJQ8myZbdpxpsmRi8k\nUqMEp2Mksgh1Zik9nHhn+Tvl5KShpWU2Bgeng0tRKLZgstIHagsbs9Zi9jvNR2JiO3p7lQLyhhu4\nMDZLl1bIruP8ztrby4e3ZwWx0tV1AoDUrxD4KeLjq5mZg9av5wJxFhY+isOHpyAQeASBgPLQjN/f\nhPff74FWLFYj7UUaJ1U9R7uZyBJKQdCIzs4pqKkRFhx2LWtKUZEDeU70qVNrUFmZq/kMO77MbgX0\nF/eTtLSvMXOmdl531gJNL4WwE7D6XE/PZaipuQRujI92Ftp641deXjYOHSoazkY2DkD/cJa7K0wv\nRMT10tzci+ZmsdWyHgkJO3H06DRH3CCsQqGmohMSqVGC0zES5WIUCG1mKbVyiJ9l951ZVqcDB1Zi\nYGAHuK3wWwC8LLs/Z7GdM6cUFRX36j7D7MCr9k7f+c5EkTVTacFSXqfud5aSwvYrvOSSv0dxsXou\n9aSkiSK/X+k9+cxjp06lQCsWqxGhJE3ty1nDEhJWKk4im4kswU384igBnwL4FfNd+DLas1ZxojQl\n5VWkp2sLOnZZrQkqNxarrH7C+XFnab5LWtoX6O8XQmr94Ad8CmHloT0nkfc5bgF3Fl6zHhoZv3y+\nCRD8moPw+crw8sufqiYqUetf0kVGEA88cCneeosXrEno73fuEJXXjBmEtyGRGiVwIZLEAdDVt2S1\nUM+Kc9z0wGgHI9uWduNCsrfW0yFY8N6H2kEXt3JHq70Tb81UE5DK69S3VmfM6Gf6Fc6Y4VP4/Iqz\nQXEHuNj3lG7zWzvBzsNO7XuPIZ9WtQmRiwZwEIJw1z4EZya7mXZ2nBzTE7SdxZcbcUmt+P4KvuJc\n3TU3l2POnDTVQ3tuxsPk3n0J1ELLhQu98YtrY9J67+h4CENDa2Gmf2mliC4trUZDg3N+wqE6zEiM\nHkikRgmZmenYs8eHp556HDU1KapbsnooQ5VUoa1tLE6e7IPb7gTq5eCeJR88xT6kRoOLi2FbnXiL\nC7+1/2tI4y0Gcdllu1zLHa0nvNSssvLruHBZbLGiNjnm5KSNRAdgJQzgDnDp+YfOg1LYmz9VbSS1\nL//exizVYyGNEqBtWTOT3Uw8CTuxZWln8eVGukuz1lmtvgtAFFxf+m9u+c5zdXJw2ILLhZxLSGjC\nM88sDqtw0uvravWu9B0HtBYiWt9DeAY31vMHKTm/dSV6VlIn3U3IIhsdkEiNIrKyMpCc/CfVLVkj\ng4R00BL8CgcHtyCU22VmJsaWltmGgovLYVudbsG4cby/1jwAv0RKStHIlu3kyQMoKFiCWbO4GIhm\n2bfvDWzYcAB9falITOzAunU3Y9my2yS/sSp0lJEP2GJFLZTXxo09mgkDBgYeQHz8YwgEUiH2kcvL\ny5H5h/4AgtUq/GlNAWBwcBKk31nd1xUwl93MaZFlJyi/mWv5WLTmUuvy1OPYsXpmkHn9vhu6xS4g\nrpM/DNdJH9MybxSz4knr91p9Xa3ez56dBM7XeRF4t4n4+Abk5NzAvI/W9+CeUQ/5Qcrm5q2KHTgj\nVlKn3E3IIhs9kEiNMk6ckIcX4VbI7713Gt/73n8BGKt5mlkYGOU+jbfCzMl2s8gH8ri4XhgRxUZX\n7qyJgm11Ooi1azl/LdaWbWzsGCQnX4Du7r8Zeg9xHe/b9wby89swNMQlBOjrCyI/fxuANxRC1S56\nYkU+OebmlmmET+Lx4fz5iRD8TTkfOYB9qjohYSXi4wM4fVqeAIEddcAJ1OpfOeFzZZwyZQWzHOay\nm6lHFLBqCTK7UDH7rI8+ahDFotUWAcp+Uo+YmLeZh/LYdQ3wfbenR96vnY1dqoaWG4vZ8F4s8bR2\nbQuqqlrQ0TFOspC1I7bYh892DvvM/x5ClqZGBAIDWL36r3j55U+xfr00/J7W9+BilPL3FPooK9uT\nkbHWKXcTtw4AEt6DRGqUIT0ZLVhD+/oaUVNzEGKRyRoshYFR7tPIbX9PmPAgLr98rubgbsXSIB/I\nU1KKkJpaJon7yRLFRlbu6hNFFiorsxTuAnPmZFkSjXoT0oYNB0YEKl/OoaFV2LBhheMiFTAndLTD\nJ/G8iXPn1kBc/o6Oh4YnjocYovgeFBR8MJwIgUc96oAdceL3N6GwcB8OH74EgYCy/tUWJJWV941E\nJhALl5ycNBPZzZSTcCgtQVae9fTTVaJYtICWCGC7kqhnXtNyJ3nyySMQFruht7Lb/S5s8XTtsJ+t\ncE+/fxcqK8+gsFCcIIP/vTGxxVpoHj06DfX1PgBfQAiL9z4AdfcuLReQzMx0zJ7N31OMcuFlZKx1\nyt0kFNFqCG9AIjXKkJ6M5q2hjQBKoXeaGRAGxuXLn2f4NGZg0aLpqKjIVX2+lUmANfB3dhbguuvW\n4Lvf1d62NLJy11qV5+VlW3YXMPIe4jru60sFa+Dl/q6PXR8trev1wycFER/fg0BAfeJgieLUVHmY\nKOez3QhtborGvVkiWsj6w7aOJcks6tkAsnRTXAKhtQRZeZZyx4W7zkhq3aVLKzSzTqlZ8UtLq9HZ\nWQBuPNoG4EsAZabKbRe738VokoLjx3+KJ598FIcP24sNy9rx4A498t/PWH+SR1oQJzuZMcNnKEGD\nkbHWjquK2WcRowMSqVGG+GT0u+9+i74+fqV9JaRbbJyT/MGDRxW+R5mZ6di79z5Dk7EcK5OA+gGB\nS7F7t7ogBoyt3NXu39LSNyzGeauQcFBs+fLnsXfvfaYGV73Vf2JiB/r6lANvYmKH7r3tWoD0rjcS\nPqmnJ2jIiijGTNQBqwht7jnNe6tZltWsYxs2sF0SjEzCdi1BRhckQmxac8+S7rjw2IkgoPRR3b37\nQcl1HR0fDF/Dpx0ug9NtAdCuO7vfxUySgoaGXgQCkxm/ty62hP7El0N7saEWaYF9T2EMTUkpQk/P\nWcn3NGolDffhQSKyIJEahfAno7ncz3zMSj7fuzTQend3PW6/faciBqXVFbGVScDOqlleTi7U0FgU\nFAwgNbUaeXnZqpMqFx9wCgSBKtRLe7t5i6rwHHE8zn7ExbUDANatuxn5+dswNLQK/MAbE7MN69bd\nrHtvuxYgveszM9Oxdm0LNmxYoXqoS3oYy1iYMzNRB1gYEWtCDNRPYaUdKdustkuCkUlY2ub4ReFY\nfPnlIXzveyc1/cKNLkj433Gxac29t3THxZwIkAoIfpdmhq4Lh7IfOp/5SK/uhINCb4E/yQ7cYviZ\nZpIUAEngfPmlB/Ti44stiy0hoskrOHy4GIFAEFaiVLCipIjH0CNHZogy2Endo0KRFcpu5BYiciCR\nGsXk5WXj7bd/N7xFy59m/hbCwRduMh4YYAdytrIitiI47a6a+XJyE1SC5D7ctq3SvzAhYSf6+3cA\neGK4vL8B8F8wKwLFIiourhNJSU+gp2caxCdljxwpg9/fNCz43sBTT92P3t4U1dP9rGdoWcuMCzlt\ni8vGjT0jVuW+vnr87Gc78atfNUsWL/zEoZV5Sq1+UlP78W//drPhgO5GxZoQA/VhaJ3YV8NMIgSj\n29BCm74WwsnpRnR1xetmuTK6IJHGpjX33uxYtOYiCBQWPopDh2Jw7lwsgMd0y6vs57cgJka6aLNr\nLdOru5ycNLz55tsYGhL6Z0zMNuTkpCnupdavlJEx+CQFwvhy2WW7MH16DP78Zz5F6jZwFtd+LFzY\nLvODthIlYCKKi6fh5Zc/GharwvsYiVIhNxqIx3ouDJ08xbLgNhPKrFCcKxY3VtTUjMXtt+/Bli2L\ncdddS0JWBsJdSKRGMZmZ6Vi48PXhLVpx3E/3/AONxOBknTR3wo9JbYKqqtqEyspsxgGERgBx4FKE\nnoeRwVwMS0TFx/8UgtjlLGgdHYL7wLJlt5k6JMW2lkktc3ffHSOJZ2rMigWoW1y0Fy9amafkERVY\nIvPuu89g+3Z2QPcFC+aNXG/ceiyOgeoDHwtz4sSPUVn5gIVT1PZdEgTf7hKRO4mx/mZUWEhj0wK8\nEJow4a+6qVcB47Fo1d4vKWnisECdZqi8aqHP5H6/dixzenVXVdWCoSFpmxoaWoWqqk2YM0e84FTG\nCRb3AblQE+ed50/3nz6dieXLpREvuMQci02776j//l8BqI+dVowGXjm0xPX/JRCHxxoYCGLNmq1I\nT29EdvZVIS0P4Q4kUqOc9evvEG3RzgMwEcKgpR6uymo4GGMxOJUDshN+TFqDK/sAwpsA1oGzpiaB\nNZjHxX0tEderVt00MjiyRFQgkAWn3Aekz+CtZddAPGh3dQ1AHs/UmBVLy+KiLaaMTmJqInPv3hXo\n72efDt+7VxCpRp8jjYHK+zsCs2eXWIotatYlQeu+06fPFx0yMnZYyaiwkP6Of+8gFi3apHALEFvs\nVq26CRddNB5FRftx4oR1cciVOxZmtu1Z/XzZMqGMBQUfIC5uH/RC5amhV3da/ulSEaiME6y1gBe/\nlzhMXWVlkCkglSHftO+vvWBTt26a2aXiv8Hnnx/VrEMtnAzAz30rPsyW8N79/Y+gpGQzidRRAonU\nKEfpb9SOI0f47Ry1cFXWw8GwBikjFjEnBjczVgOpK8RkADdAvmUaG7t22Joi+Gb5/eX47W/HY9as\nGToZq5yxUiutZfIoDca387Ss1dK60xZTRutZTRCoRTlwRqyp/04NdZcE+4c2pGUzJuaMCgut3/Hv\n1NLSN+x7LSwQa2uLEBMzEe3tj478zUpf58odC1ZihPj4x9DTE4sbb9yErq4TSEmZKXEbESO1EvJh\nqfgQVW/i7bd/h4ULX1fE/2ShV3dqbaWr6wTa24tgtl/pobb4NmuttGrdNLpLJXyDJWBl2TPS/p0O\nuxYXdxLAJRDeWzjwW1PTgo8+asCsWTNM35fwFiRSCcVA6fdzW1PNzb1obuazK8lFVSPa2nrxwx++\nhkWLkgyJxn373sCaNV9LJsS6unIkJ8snBUA8wDo1uJmxGkhdIQYAKH3HLr74G3R0bBSV3YfW1hXY\ntKkY5eX/oTLh8RmrzIX4UUNpLft72X3tWbF4pHWnfU+j9awmCNSiHLgh1vQwE37KykQrLZsyrJfa\n6WgjwkLtdwBE7yQWGwDXBscDeFDyNysLqLy8bBw6VIXOzvfBZT/i3CxiYz/ABRdchZqam8FZ/YvQ\n3i51GwEwsjCQxl0Vh83Tjv8pRrzQSEv7GjNnClEpxHWn1laSk2fKwmqx+oB6li2zmF1YcYLN+uFS\nvV0q6db6RnD1XwyfrxPXXTdGErJK+x7OhF3z+5vw2WdjATSBdeD31Kkg7ryTi0V75ZXWXFYIbxDz\n5JNPPhnuQsgZGBjE+fPBcBdj1DFmjA/jxsXr1u+UKam4446r8JOfXIcbb7wAPT0v4v/9v24EAvwp\nc96quhL9/f+Izz+/FtXVf8B3vxuLKVPYMT25yf53GBiQBq7u7f0HjBmzF319SyEfYLOy3sMddyzE\n44/vw8cf5yuu6+7+Ne64Y6Hh958yJRXf/W4senpeRHLyx8jKeg8bNy5SHVyvuGIiqqv/gN7eGwH8\nDsAt4CbbqzB1aj1SUy/AyZPXy67yYeLEOvzoR5m49NLE4ev/AcKE978oLJyMTz75QPOdjTJ9+oWy\nZ/wJ3JY/f9+LAfwvgP8D8aS7ceMi1W/FQlx3cXHfoq+vDufO8c+R3tNoPSvLzt3nF7/IwF/+clDx\n940bF+Hv/m7SSBueNCnF0HP48rS0lKC39zWMH38Qc+b04v/+37m6daDW9saM2Y+Kiodw111ZuOOO\nhabqUq1ek5OPIy2tBdOn/wmXXFKv2T75Pqr3fNbvpO9UB0De3lh/8yEurgp/+tNfsGtXPQ4ceB/T\np1+o2d9LS6sxONiP8+c/QVxcHS64IIgFC/6GadOS8Pnnj4OzyEm3zHt7/wEtLc/ihRcC+PjjfLS1\nfRd9fccBXC0r2/8wr2WNCfxCg7/f8eP/iKGhL1FSchXuv/82yTuotd0jR47i88+vhXq/4rJs9fb+\nEm1t39UcE42Mw2p9g9Vv/f4m/Pd/H8WZM59D3M9TU8uwefN1ltummF276tHW9gWEOp8Ebiy8CX//\n9x/i/vvV/ej9/iY8/vg+vPfeadEcwuNDcvLHuOsuc6fyH398H/z+xwEMAfgDuOQFKyFuD99++3/Q\n0/Nr3H47bfu7Ad+O3YYsqYQm/CqbC1fFr9TNb1WXllZjYCAdUlHGXTtx4mTExBj1hxSus+Kob8a3\nVbBE/QHNzb3o6loh2ZYsLa1mBrnmYkxqW7zmzEmzFGdWvYwsdw0fWPFM1bbz9NwpxHXHW9vVLHlG\n6lm7fgRrflfXCSQnz0RpaTVWrfJJfM3MfM8jR6aju5url5qaIO6+uwwvvqhtjbfS9sRb6Xpb2Wbf\nwQmOHtUL86Qekq2hQUh5q7abwbI+T53KhSjKzEzH0qUV0HIbaWjoG0mewcG7yIhdIozvRJi14LG+\nR14eNOME62XZMouZw6LKJAjcTs8VV7QjM/Me089mwVlkE2GkzqURTcQHzPgwh/Z8uQFxv7wdnNFE\nfOBXKNvJk6E9zEU4D4lUQhV5+CQhDan5rWru38STDU8QyckDSE5Wz3gSzuwi2lvg8okriGnTyvHz\nn+foXu9UxALWM5QCMkc3dM1dd1Whs3M8uCEhFocOVeGllwQBwhKx8mDsVtCqn4cf5ral29t/iPb2\nt1BfPxYHDryA8vJvsGTJTYaf4fc34Uc/KkNX1wuQbms/hKKidXj1VfW6MRs3U+q79wEAcdm58Dhu\npLg1it/fhC+/bIXQn5T+oqmpZxAT8xza2x8c+ZsQkk1fhOmJQqE/ywVyA4A30dsrF0PiMvIuEcbH\nBCcWuez+KvQrvSxbVjC6eBEWHcKhQAAYHCxRvYZPE9zQ0AefLwkZGTGaPr15edk4cGAPM96ruM6V\nCxTxATNlW3PGl3seAHYs4EmTKANVpEMilWDCsoakpBTh+uvXob6+C93d5kQj929LwDpAIT98ZCTj\niReyi7AmrlWrbsKCBfPQ3f03Q9e7YUEze9/Cwn3o7JwDsS9kZ+fzKCzch9deeyJkeeblQrinpxdt\nbT+CPMTM/fcXY//+SxS+ZiwhDXBCt6vr78C22g1plufIET+4YVKwIPp8j6O1tZ/peygItGJw7iHS\nsq9e/RhefvlT3WD9ZgSEGbgdjQcg9EPuxP+YMf+BjIwZmDHDh1Wrbh0+3f8MTpwYKwrJZkyE6YlC\noT/fIioHfyDqEZw7J7e4cWWcMmUFpk+fj7i4r9HXdwaNjerxP8U4tcjV6lduL6TVdjqUiw79ZwuL\nUqHP8zsLTzzRgqqqFsVzMjPTsWXLYqxZs1WU4lVZ58oFCt8W+ENNpwH8B8aNuwg33TRx5Fq18INq\n5e/p6UR8vPj7K2PqXnbZLuTnUwaqSIdEKsGEZQ3p7CzAxRdvwm9+c4fprWpuYjo4HLycO0CRkNCE\nuXPj4Pdrh3IxYnV0MrSJGeQTV2zsmJCXye5zGhr6IAhUDP/3fWhsfACAMwce1ASkVtzJ+PgCsEPM\nrEZJyWbs2jVXcn+WkE5LO462tg3grDmsrD89quXlJvKJEAQqADQiGEyD388OuC8ItARG2RsRCMzS\nDNavJSD0XBOMwJVv/vDz+a3hAaSnp6K6eiUAIUTSCy/MwLlz5wGIc8LrCyE9wcZyozlzBjh9mt8u\nZ1ncDqKy8j5FnzeyExGKRa5Tz9BaaLEWicpFB/fv48ZtVX025x4wHvI+39FxA9asqVIcbOXb57Jl\nt0nivbLqXOpKAnDW8nqIF2tc29iKvLzFmu+mHQ/2GfCHt+Lju3H11UH84Ad/P3KYkY9FO2uW0IaJ\nyIREKsFEL6ao2a1q8cTEXdOHvLx7UFDA5+tWPkd+vZoVw46lzy0hWVfXGDLro93n+HxJYH0DLjas\nM3nm5WU8dKgIPt8EkShVxp0MBJKgFjhf7mumJqT7+9cO/+0iyE/OA88jIyORWWZhIpf7UWv7Y0u3\nsuVl1/flVhcQDzGTIai1XbV/E8on3hoOIi1tE7MeeMyIMCO/lffnpUsrUFsrtpwCwDYkJnbihhsu\n0vWR1sJJ1xo3n6G/0FK2G7VFx8yZParPFuLXyvvVWyIrqfQ5YoPBww8Li8vS0mrk5QljTWdnM6QL\nlBwAzwGQuor09z+C0lKuzVmPB8u14UAgiIsv3jScCIX7nTgWLRHZkEglmEitIUIGo2PH6kfysJvd\nqmZdk5paDS2rixERadTSJ7+XkSQCVikpqUZbGx9nUr1MdnHCypmRETMcakv6DebNiwFgfytTWcZG\ndHa2AigQ/Y0lhG+Fz1eKYFDf10xNSAeDPcNl/zcAr4Hbhk8A0I+UlDNYv34Zs8zqgei1/bGlW9k7\nTV0rfa7277QWJ4C6dcqqxc+MCNMKfaW2ratsY/MAZOCGG7hg9HYJxeE0u8/QX2iJ8Y3Uo9lFhxC/\nVt6v9DOp6S2KJ06cjPZ2sVU3A8AFOvc1vgD2SrYrInSQSCWYsHOLW8+MpP8cdsBxI1ZCIwMXK0br\ngQMrMTBg7DCIWThLnz3ro1xQV1W1KE6MK7fXzD0H4LKO3X23OCIAF76moOAOAMaFjdqCQvp9+PBl\nxuK5XnhhO3p7NyMY5AV/PcaN24nm5kslWc+UIoc7hDM0hOG4tI8M/70K8fHf4Oqrg5qxHdUD0Rvf\nym5oAI4e3YTz539u6Frpc7V/p0xTW4W2Ni697uzZk1QtbxUVD8miQXwNYCwKCgZGMjmdOzcZU6cO\n4sEHF0v8fs1GxpAf5tPqy1bEs91dEKvXu7X7or/QUrYHK/UmxK+V7izExzcgENA+JKi3KE5LS0RD\nwzUQW3W5e7HL39PTO/xvjeAD8QPH8eWX7Vi6FAYWM8K9iNEJidQoRW+g5SdbaW5xwGmLoJaFxmhq\nQL2By+9vws9+9ieFIFULieXEqpyz9FkbTJUTej3efPNtDA3xJ8aF4OcJCSstP4cnMzMdL76obiUz\n6hOsJkKk34ff8pYfjpEHsufiTp4+/b/gfc9iY5sREzMd/f07UF8vDf4unayFQzinT3P3SkhYidmz\npw2HgrpdV1SoB6Kvw4UXlqC7m48zqr2VLfabVIYHU17LFhD1iI8vw9Gjl40Ic0HQKNPrnjoltlDz\nCO2aLx/3zRJkdSaIltraclRUBB07sKXVl81ul9t1czFyvTH/0HocOLBzpG2pLSaNCFm1cWzevES0\ntLCFqFXXq5deAgoLX0FjoxBR5Zpr5mDr1rcxNCT4jsbEbENOTtrItVwbEgvKAQA5sp2Eg2hrEw4w\npaQUwedTtvucnDQ8+eQRAEUApkBI0nAQXV1Po6vLmcUMEdn4gtxemqfo7v4bOTu7AO+nU139IZYv\n/0TR0fk4hmI4X7F8xb2uvroERUXXuHowSOvZv/997sj/FyYc9vtwMV4TwQV7FrMVUh9BAAhiyRLr\nW4xW6lgOV17xhM6XU54dCOAsi1WKE7dGnuMkyjIDfF3m5WWLvs9z4HxPeXElHPZISSlCevpZlbiT\nAOe3+gikk2Q/rruufSQKwfbt76KmpgXd3TuZZTHzXblT9q+gsbEP4tBoALB9+7uWfA/5MuqloOSf\ne+5cEGfPzsTZs2vw/7P37vFRVPf//ysEkqAICRCCgkKAKiEgG0UERVqDP41WSh9qqR9bUWilVSFU\n6w0waAktV0EwiE2BCMVatV5LFRCj3xZEEMyiueAFApjYhAQSISVhQ5jfH5PZndmd2Z3Zndmdzb6e\nj0cfld3NzJkzZ855zfu8L5IoSkpag4QEV3ugkdqYkPrJ//Ur75n5z4Icvc+yXvyNNz3tDfT3WnNK\nevpR7NghWam9x7D4YtXWdiPEl0llqiXpmZT7S8rXOX/zGBD8mNOLnj697bY/YMcOZSYQIB+9eh3E\nkCFXuHd9tm497OPq4d3+VauK28/3FIA/QO841PMMafUxMQ+pjy0/j+VnILbDiL+k1tt9ly7ftlth\nrAsM0trC/frresVWbyBrgnaO1ptkW8GhvZVLVpf6+vPcW6VFRVlBBVL4bvtJvoxqPo3DMWjQ3zFo\nkHVBIXrQG2gnCkjJhw6QLJR9++7Hxo2e6G31vJOSFcdjOQQE7NmzXOEnrQzCUbbFCA5HBt54Y57q\nd8H6HurZMpefVxQOkkAtA7ALLS0FaGkph2h5VvMjvNkrPY/6uFbeM2lsyVMF1eCDD7ornjV/+Nud\n8TzLyheMlpYDmn6q/o4Xqm9ioL/X5x8qD4QrA/Ac2tpegFqpWT27T4HmMat9avX1aSKUQX3lAPri\n+PE8L8vn9T7jxbv9dXVS0GwafMehdhvC4V9M7IPpItXlcuHpp5/G+++/j6SkJEybNg1Tp041+zQk\nBIz4S2ptrwCJss/Evzc7MEhrC/fEiThs3qwUxYFzGPrmaO3adQuWLr045BrsaluH4lZpFtat09vg\ncwAAIABJREFUe8C92Obl7UJqanHAc/iKc8lfU91vMz29W8DE+lanw9KTdsizxSzdUzE4RrQWKdML\nqR+vGcB7UFoJ4+ByPawYdx3Jb00pHOSiSBL5q+B7rcMwenQRUlL8j2tlP8lTBUn5XZ9Gc7Pvs6aG\nHp/TTz7JR329tK0rWh6/+CIO+/c/7PM3gP/URP5envXk3Aw0RrQEW2trrezv5ML+YwAjvD5X/q0e\nAR1uASafF44cKUWg56a1tY/X98arD0qoF3VQn+OMBNKSjkX8008//bSZB/zTn/6Ezz//HM8//zyu\nuOIK/OlPf0J6ejoGDx6s+xiBasuT4JBq7f7znx/hyy/ldagBQL1uvFYt6+3bG1BdPcbrDMo6zFLN\nZj21vtWQn7uubitaWuZBPhlq1er2RqyDvQenTl0D4CUA+5CUtBHLll2OyZNvwYAB3VBa+jXq6rqi\ntPRrw+184IF1KCuTrF1i206eFNs2YMAFirrh/mp6K9srr9vdHfHxL0EQbgLwDuT1ubXqecvxrl2u\npw1G0VtrXGs8eS80Z87U48MPt+Ds2bHu4/Xu/QFaW5tw7px3tSnluDNS9zxS6H02tm//WFYzXqpb\nL9EHwCB07rwc584527//N3r3/gCrVk3Cb35zC+66KwuTJo1WPbayn+oB/BXi1usmeKcDC/SszZnz\nKvbtm6X5N337puKDD/4fjh6VPyd/hSBIfoh/BVCCU6f+h8rK3di/v1b1eJWVz2Lr1jJUVjahqanE\na3zk4/jxC+F0PhRwnKuNkd6989Gt22ls2vQVjhwpRVPTRHjPkRdc8Aqam09AfAb/A2Bse9sfBLCj\n/d/S577z64ABF2DOnFfx/PP7sXXrDlxySTfdYzLU+VTtePJ5oalpUPs8MwZaz41yPAK+YxLwfh61\n8NyD6+GZ13oAeKv9v8sBbERCwnvo1esM4uJO4pFHDuuax6S1jlrCOqQ+thpTLanNzc34xz/+gXXr\n1mHo0KEYOnQofv3rX2PTpk248cYbzTwVCZK9e8vQ0OBdrcP/NnewqaPMyBNqZAtX6y1bK0erw5Fh\nSgDGnj1xXv3gaZueFFFq7fZ2FRD9vDzJz40EZJiRpioQRlMUeY8ntXrfzc05kNwBunTZjf79e8Hl\n+h6trf6tPeHIixkKWnljhw59W1GJCoBXZR11K1OnTj2hrIi1Wlc7pH6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Qyv7zzdObkJBn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\nP8+Ua44F9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def mixture_model(mu1,mu2,s1,s2,alpha):\n", " return alpha*np.random.normal(mu1, s1, 1000) + (1-alpha)*np.random.normal(mu2, s2, 1000)\n", "\n", "\n", "mixture_samples = mixture_model(-1,1,1,1,0.4)\n", "plt.scatter(range(1000), mixture_samples)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(array([ 1., 2., 7., 12., 13., 20., 33., 56., 83.,\n", " 90., 125., 124., 110., 88., 83., 70., 44., 19.,\n", " 11., 9.]),\n", " array([-2.27885441, -2.06209541, -1.84533641, -1.62857741, -1.41181841,\n", " -1.19505942, -0.97830042, -0.76154142, -0.54478242, -0.32802342,\n", " -0.11126442, 0.10549458, 0.32225358, 0.53901258, 0.75577158,\n", " 0.97253058, 1.18928957, 1.40604857, 1.62280757, 1.83956657,\n", " 2.05632557]),\n", " )" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kh+Lioigp6Vu/fz3v5K9jnUm3BNJ58+bFkiVL4o477oj3vve9UVZWFnv27Ol0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\nHrGkQNhwTUMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(mixture_samples, bins=20)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "y_pred = KMeans(n_clusters=2, random_state=0).fit_predict(mixture_samples.reshape(-1,1))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ohp2dHbKysrBhw0YEBHyF+vXtyjye7hOq8/59IoTCArRq1QzZ2flKa9+MjAwc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8aN+wEHD+6TfxH19/fDqFFjMHXqDMnP1apVG2zevAMbN65DZORHlCpVBtOmzdDYl1DKOyRd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\nERER6Zz/A15Nj7tPauYJAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(range(1000), mixture_samples, c=y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The clusters seem to have been separated as expected, based on the mean of the underlying Gaussian." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }