diff --git a/sergeeva/Linear regression.ipynb b/sergeeva/Linear regression.ipynb new file mode 100644 index 0000000..22f16ed --- /dev/null +++ b/sergeeva/Linear regression.ipynb @@ -0,0 +1,252 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Generate data" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "x = np.linspace(10, 30, 1000)\n", + "y = 0.75 * x + 1.35" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Add noise" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import scipy as sc\n", + "noise = np.random.normal(0,0.5, y.size)\n", + "y_noise = y + noise * 5" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Make plot with noise" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as pl\n", + "title('Data with noise')\n", + "pl.plot(x, y_noise, ',')\n", + "pl.plot(x, y, 'k--', label ='Input')\n", + "pl.legend(loc='best')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 16, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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+R/Xp0qULbr75Zmzfvl3Te9OwQD5x4kSUl5cDAMrLy30vOKlXU1Pj\n+/vtt99uU9FC4cmyjJKSEgwZMgRz5szxPc73pzahjiffo+odP37cl4I6e/YsPvroI+Tm5mp7b8oC\nTJkyRe7du7fcoUMHuU+fPvJLL70knzhxQh47dqw8aNAgedy4cXJDQ4OITcW8wGO5YsUKubi4WM7O\nzpavvPJK+be//a1cW1sb7W7aRlVVlexwOOSrrrpKzsnJkXNycuQPPviA70+Ngh3P999/n+9RDb74\n4gs5NzdXvuqqq+Ts7Gz5iSeekGVZ1vTeFFJ+SERE0cM7BBER2RwDORGRzTGQExHZHAM5EZHNMZAT\nEdkcAzkRkc39fzBcQ3Bn+lHmAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Train and test sets" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x = x.reshape((x.shape[0],-1))\n", + "from sklearn.utils import shuffle\n", + "x, y_noise = shuffle(x, y_noise, random_state=1)\n", + "x_train = x[:600]\n", + "x_test = x[600:]\n", + "y_train = y_noise[:600]\n", + "y_test = y_noise[600:]\n", + "print x_test.shape" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(400, 1)\n" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Linear regression" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn import linear_model\n", + "\n", + "regr = linear_model.LinearRegression()\n", + "regr.fit(x_train, y_train)\n", + "\n", + "print 'Coefficients: ', regr.coef_[0],',', regr.intercept_\n", + "print \"Residual sum of squares, train: \", np.mean((regr.predict(x_train) - y_train) ** 2)\n", + "print \"Residual sum of squares, test: \", np.mean((regr.predict(x_test) - y_test) ** 2)\n", + "print 'R^2:', regr.score(x,y_noise)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Coefficients: 0.771985535974 , 0.89756942129\n", + "Residual sum of squares, train: 6.97783059991\n", + "Residual sum of squares, test: 6.49692060801\n", + "R^2: 0.746184692248\n" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot linear regression" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "title('Linear regression plot')\n", + "pl.scatter(x_train, y_train, color='grey', label='Train')\n", + "pl.scatter(x_test, y_test, color='red', label='Test')\n", + "pl.plot(x_test, regr.predict(x_test),'b-', label='Predict')\n", + "y = 0.75 * x + 1.35\n", + "pl.plot(x, y, 'k--', label='Input')\n", + "pl.xlabel('X')\n", + "pl.ylabel('Y')\n", + "pl.legend(loc='best')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 19, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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JCgr6G55SQ0PjdkYL6XyHobWnhkb1QgvprKGhoaFx1WjKX0NDQ+MORFP+GhoaGncgmvLX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EtXxBIIGinC+F9nZFnm5MmT9a7MWpuhc3nPsWPEjBrFjqlT+Tk+nru2blWjW0x6PStHj+ZcdPTF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\n9u0jNjaW6Oho9Ho94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+ "text": [ + "" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Second plot (to be continued...)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "title('Linear regression plot with RSS')\n", + "pl.scatter(x, y_noise, color='grey')\n", + "pl.plot(x_test, regr.predict(x_test),'b-', label='Predict')\n", + "pl.legend(loc='best')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 20, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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LlJQUMAwDf39/xMbGPqrxPhFERUU97iE8VOj1dW268/V152u7Hx5KQBDDMPdl76FQKJSn\nkXvVznbdDykUCgUAHBwcaOKrB4RSqURFRcUDa4/OyCkUSoeg3+sHh7l7ea/3mCbNolAolC4OFXIK\nhULp4lAhp1AolC4OFXIKhUIxw7x587B8+XIAwNmzZ9G7d+/HPCLTUCGnUChdHj8/P8jlcigUCri5\nueH1119HXV3dfbfbssjGyJEjkZGR0e45GzZsEAuBPCqokFMolC4PwzA4ePAgampqcPXqVVy+fBl/\n+9vfDI7hef6e2u4KnjpUyCkUSrfCw8MD48ePR1paGliWxQ8//ICgoCD06tULQHOd1wEDBkCpVGL4\n8OFiwXAASE5OxsCBA2Fra4tZs2ahsbFR3Hf69Gl4e3uL7/Pz8zFt2jS4uLjAyckJ7777LjIyMrBw\n4UKcP38eCoUCDg4Oj+SaqZBTKJRugX7mnJ+fj8OHD4vFqePj43Hp0iXcvHkTycnJmD9/PtauXYuK\nigosWLAAkydPhlarhUajQXR0NGJiYqBWqzFjxgzs2bPHZBERnU6HF198Ef7+/sjNzUVBQQFeeeUV\n9O7dG7GxsXjmmWdQU1PzQIN+2oIKOYVCeWAwzP2/7gVCCKKjo6FUKjFy5EhERUXhv//7vwEAH3/8\nMezt7WFhYYEff/wRCxYswJAhQ8AwDObOnQsLCwucP38eFy5cAM/z+POf/wyO4zB9+nQMGTLEZH9J\nSUlQqVT4xz/+ASsrK1hYWCAiIkIcy6OGhuhTKJQHxuMyJzMMg/j4eIwaNcpoX0tzSG5uLjZt2oRv\nv/1W3KbVaqFSqUAIgaenp8G5vr6+JvvLz8+Hr68vWPbJmAs/GaOgUCiUh0RL04iPjw8++eQTqNVq\n8VVbW4uXX34Z7u7uKCgoMDg3NzfXZJve3t7Iy8uDTqdrs79HBRVyCoXy1PDWW2/h3//+N5KSkkAI\nQV1dHQ4dOoTa2lpERERAIpHgX//6F7RaLfbu3YtLly6ZbGfo0KFwd3fHRx99hPr6ejQ2NuL3338H\nALi6uuLu3bvQarWP7LqokFMolG5L69nxoEGDsHbtWixevBgODg4ICgrCpk2bAABSqRR79+7Fhg0b\n4OjoiF27dmH69Okm2+M4DgcOHEBWVhZ8fHzg7e2NXbt2AQBGjx6Nvn37ws3NDS4uLo/gKmn2QwqF\n0kHo9/rBQbMfUigUCsUAKuQUCoXSxaFCTqFQKF0c6kdOoVA6hFKpfCyudd0RpVL5QNuji50UCoXy\nhEAXOykUCuUphQo5hUKhdHHaFPLGxkaEh4djwIABCA4OxscffwwAqKiowNixY9GzZ0+MGzcOlZWV\nj2SwFAqFQjGmXRt5fX095HI5eJ7HiBEjsHr1auzfvx9OTk744IMPsGrVKqjVanz11Vf/aZTayCkU\nCqXT3Kt2tuu1IpfLAQAajQY6nQ5KpRL79+9HYmIiACAmJgZRUVEGQg4AK1euFP+OiopCVFRUpwdH\noVAo3ZnTp0/j9OnT991OuzNyQRAwcOBAZGdnY9GiRfj73/8OpVIJtVoNoDn3roODg/geoDNyCoXS\nTFNTE65evYr6+noEBATAz8/vcQ/pieahzchZlkVKSgqqqqrw/PPP49SpU0YdU99SCoXSGo1Gg9jY\nWNTU1IDneVy8eBHjx48XK/dQHhwd9lqxs7PDxIkTceXKFbi6uqKoqAgAoFKpHlmGLwqF0nVIS0tD\nbW2tWPRYq9Xi+PHjnWqDEIKysjIUFRWZzP1NaaZNIS8rKxM9UhoaGpCQkICwsDBMnjwZGzduBABs\n3LgR0dHRD3+kFAqlS9HU1GQkvp3J0a3T6bB161b8+OOPWL9+Pb777jvU1NQ86GF2C9oUcpVKhVGj\nRmHAgAEIDw/HpEmTMHr0aHz00UdISEhAz549cfLkSXz00UeParwUCqWLEBAQAI7jxPcSiQRBQUEd\nPv/SpUvIzc0VCyNXVVXhwIEDD2OoXR4aok+hUB4a2dnZOHToEBoaGhAYGIhJkyZBJpN16Ny4uDhc\nu3bNYJudnR2WLl36MIb6RPDQFjspFArlXgkICMCSJUvu6Vw3NzfcuHFDtLEzDEPX48xAQ/QpFMoT\nyZAhQ+Dr6wupVAqZTAY7OztMmjTpcQ/riYSaVigUymPlzp07uH37NuRyOQYOHGhgeiGEoLy8HDzP\nw9nZ2cDm3h25V+2kQk6hUB4bV69exdGjR6HVasFxHOzs7LBgwYIO29G7GzSNLYVC6XIkJCSILok6\nnQ41NTW4cePGYx5V14MKOYVCeWxoNBqD94IgoKmp6TGNputChZxCoTw2AgMDDezeLMuiR48ej3FE\nXRNqI6dQKI8NjUaD+Ph43L59G5aWlnjxxRcREBDwuIf12KCLnRQKhdLFoQFBFAql21BXV4fU1FTw\nPI/evXvD2dn5cQ/piYbOyCkUymOhvr4ep06dQllZGXx9fTFy5EhwHIeamhqsWbMGjY2NIISAZVm8\n+uqrT4XJhbofUiiUR4YgCLhz5w4yMzNRV1fX6fO1Wi1++uknXL16FXfu3MFvv/2G3bt3AwB+//13\nNDQ0iIImCAJ27NhB09i2ATWtUCiUDtPQ0ID9+/fj1q1bIIRAIpGAZVnExMTA3d0dFRUVuH79OgAg\nJCQEDg4OJtvJy8tDXV0dBEEAAPA8j6ysLNTX15ss5s7zPPLz82mFITPQGTmFQukw27ZtQ2ZmJgRB\nACEEWq0WTU1N2LdvH0pKShAbG4vExEQkJiYiNjYWxcXFJtsxZT7Q6XTQ6XQIDAw0ec6xY8eoydYM\nVMgpFEqHaGxsRGFhoUkxra6uxqlTp6DRaEAIASEEGo3GqDSkHh8fH6MwfIZhcOLECfj4+IBljaWp\npKQEmZmZuHbtGgoLCx/MRXUTqGmFQqF0CInEtFwwDAN3d3c0NDQY7TO1DQBkMhkiIiKQkJAgPhgI\nIbh+/Tr++OMP0eTSEkEQsHPnTkilUgBAZGQkhg8ffq+X062gM3IK5SmnsbERRUVFqK+vb/M4iUSC\nYcOGiUKqx9HREZGRkWhoaDAoxC6VShESEmJwbH19PU6ePIm4uDio1WqjhwPDMCZFvCVarRZarRan\nTp26p4XW7gidkVMoTzHZ2dnYuXMnWJaFTqfDhAkT0KdPH6jVatja2sLa2lo8trKyEg4ODggLC4NG\nowHHcejRowdcXFywdu1ag7wpHMdh8ODBGDRokLitsbERsbGxqK2thSAI4kJpa5e7jnqncByHuro6\ngzE+rVAhp1CeUrRaLXbu3GlQEPnQoUM4cuSIKOzjxo3DkCFDcPfuXWzevFkUXJ1OB4lEgmvXrkGn\n0xnZzXU6HS5dugQXFxcMGDAAAJCeno6GhgYDTxWO4wzOFQSh3Rm5HpZloVQq7+sedBeokFMo3Qye\n51FYWAiWZeHh4WFy4RCAyYr0es8RPUePHkVVVRUyMzONMhW2fm9qHIcOHULv3r1haWkJnudNCv69\nYGFhgTlz5hiZeZ5WqJBTKF0YlUoFlUoFpVIJPz8/1NfXY+3ataK929HREa+//rrJQg0KhaLd9gVB\nwPnz5+/Z7Y9lWdTU1MDS0hKBgYFISEgQ90kkEnh5eeHOnTudatPCwgLvvPNOh8b/tECFnELpoiQl\nJeHEiROiOcLT0xMcx6Gqqko8pqSkBImJiRg7diwIIairq4OFhQWkUik4jkN0dDTi4uJEU4op04b+\n/b2Gj9vb2wMAlEolYmJicPjwYdTV1SEoKAjjxo3Dl19+2W67Li4u4uw9MDAQVVVVVMhb0Gaulfz8\nfMydOxclJSVgGAZvv/02lixZgpUrV+Knn34SE9l8+eWXeOGFF/7TKM21QqE8VDQaDf7+9793yDTh\n7++PKVOmYNOmTaiuroYgCPDy8sLdu3dBCIGfnx9GjBgBJycnFBcXY/fu3QZ2cz329vbiQ0Iul6Op\nqcmgf4lEgsDAQGRlZQFono3PmjULXl5e2L9/P9LT0yGVSjFu3Dj4+fkhJycHMpkMEokEO3bsMDt+\njuMQExOD+Ph4VFVVQafTgeM4TJ482cgrpqvzUNLYFhUVoaioCAMGDEBtbS0GDRqEuLg47Nq1CwqF\nAsuWLXugg6FQKIbU19cjISEBZWVl8PT0xOjRoyGVSlFVVYXvvvsOPM+328bAgQNRVFQElUpl8nsp\nkUjQr18/TJkyRewzLi4Ot2/fFoVaIpFg9uzZuHTpEjIyMsBxHCQSCV566SU0NDSgsrISbm5u6NGj\nB7RaLWpra6FQKCCRSLBnzx6kpaUZ9MkwjOixYm9vj5iYGKhUKuzduxeNjY0Gx3p6eiIsLAzHjh0z\neMDI5XK8//77nb6nTzIPJWmWm5ubuOJsY2ODPn36oKCgAIDpEFsKhfLg4Hke69atQ2pqKu7evYsr\nV65g69atIIRAoVDAwsKi3TYYhsHw4cNRXFxs9jvL8zxycnLE93K5HDNnzkRISAgsLS2hUCgwZcoU\nVFZW4tatW9DpdNBoNGhoaMCvv/6K4OBgREREiJV9pFIplEql6COenp5u1CchBDqdDjzPo6ysDCdP\nnoSFhQXc3NyMjtVoNDh06JDRr4T2FlufJjpsI79z5w6Sk5MxbNgw/Pbbb/j222+xadMmDB48GF9/\n/bVoB9OzcuVK8e+oqChERUU9qDFTKE8FBQUFos810Cy4BQUFqK6uhp2dHWJiYhAbG2vWvMJxHEaM\nGAEHBwfY2NgY2M5bY2tra/BeIpFgypQp4iwdAE6cOGEgpoQQFBYWoqSkBNbW1ti9ezcKCgogl8sR\nHR0Nf39/I/OLOZKTk5GWlga5XA6O48RzOI5DRUWF0UOI47hukdb29OnTOH369H2306F85LW1tYiK\nisKnn36K6OholJSUiPbx5cuXQ6VSYd26df9plJpWKJT7Ji8vD1u3bjWYeUokEixevBh2dnYAmoNs\n9u7da2AG0WNra4u//OUvAJrXu7Zs2QKtVmv03WQYBgsXLoSLi0ub40lNTcX+/fuN+rGysoKdnR1K\nSkoMFkZjYmJw9uxZZGdnd/iaWZZFr169RLOLpaUlrly5YjRmDw8PzJ07t0O/SroSDy0fuVarxfTp\n0zF79mxER0cDaF5BZhgGDMPgzTffRFJSUudHTKFQ2sTDwwO2trZicWKJRAJvb2+D2bOlpSVeffVV\nDBkyxOj8loLr7e2NxYsXmxRrX1/fdkVcEASkp6ebnF3rdDoUFxcbeLsQQrBt2zbcvn27/Qtt1U9m\nZiZGjBiB6dOnw8PDw2SOl5KSEpSUlHSq7e5Mm0JOCMH8+fMRHByMpUuXittVKpX49759+7rdyjGF\n8iQgkUgwf/58hIWFwdfXF+Hh4Xj11VcN8pnoCQoKMgiOkUgkCAoKMjhGoVBg3LhxBlXrGYbBiBEj\n2h3L+fPnzc6sBUEwOSadTme0neM49OrVq82+BEHAjz/+iMrKSoSGhsLV1dXoGJ7nOzXT7+60aSP/\n7bffsGXLFoSGhiIsLAwA8D//8z/Yvn07UlJSwDAM/P39ERsb+0gGS6E8bVhaWmLixIntHtejRw+M\nHz8eCQkJ4HkevXr1woQJE4yO8/X1hUKhQFVVlVhG7fz58+jRo4dJMdZXArp586ZJl0SJRAJHR0dY\nW1ubnH0PGjQIKSkp0Gq1YBgGOp0OOTk5sLKygpeXF6qrq1FRUWHUNiEEe/bsQXR0tMnoTYlEAisr\nq3bvy9MCrdlJoTyh8DyPY8eOITMzE1ZWVhg/fvx9V8jR28pb293fffddowVPnuexceNGlJSUgOd5\no0Aha2trg9wppggICMCQIUNw4cIF5ObmGuiCm5sbFixYgAMHDuDq1atG58pkMgiCYNLF0t7eHgsX\nLqQ28v+DprGlUJ5QDh48iJSUFNTU1KCkpATbtm1DaWmp2eNVKhWOHTuGEydOoKKiwmh/Q0MDDh48\naOS2x/M8fv/9d/F9TU0NDh06hJ9++gkFBQXQaDQGi5h6WpZqM0d+fj5YloWdnZ2RQBUVFaGwsNBs\nznKGYUyKuFYrQa9evbqdiN8PNESfQnnCaGpqgkqlwo0bNwyETKfT4datW6LHWEtyc3OxdetW0URx\n6dIlvPXWW3BychKP2bJli9kFwitXriAwMBAeHh6IjY1FfX29yZkhy7IghHQ4QyEhBFVVVbh586bJ\n/ceOHYN3A/a7AAAgAElEQVREIjGaibIsa5Dsq6HBEqtWfSi+37Nnb4f6f1qgQk6hPEGo1WqsW7cO\nPM8bzUZZljWwF+vt11qtFmfOnDGwM2s0Gpw7d070NNNoNAZOCq3RZ0ysrKxEU1OTWRG3tLTsVDEH\nnU6Hy5cvm7SvA80uli1T2UokEshkMsybNw+//PIL1q+fhIyMPgbnfPTR/yIoaGyHx/A0QIWcQnmC\niI+PNzkbZlkWMpkMffo0ixrP81i/fj3KysrAMIzJKMempibx79Z5v1vDMAxsbGxM+pnrz3d2dkbf\nvn2NHhqtj2vposgwjNkCzHpaHm9jY4NXXnkFLi7OABYZHLdixedgmOY2Kysr22zzaYPayCmUx4Ba\nrRbtzy0xFcUol8vFivVr1qxBUVERkpKSUFJSAo1GI86gW5dZ69+/v/ie4zj069fP7HgIIcjNzUVQ\nUJBZV0KtVos+ffogJCREDNixtbWFvb09PDw88Oabb+K9994zMIl0Nt/40qV/hquroU/7unU/Y+XK\nZhHXj/XkyZNmHyZPI9RrhfJUoc+c97gghODIkSNITk4Gx3FgWRZz584Vc4xs27YN2dnZog1aIpGI\neUn0KBQK9OzZE1euXDFoWyaTwdLSUkxHy7IsgoOD8fzzz4PjOKSkpODgwYNmxVUikUCpVLa5oGpl\nZYV3330XEokEgiAgKSlJDDF3dnbG2LFjsWXLlk7dkxs3grF79wyj7StXft7mea+99hoCAwM71deT\nzr1qJzWtUJ4K1Go1tm3bhrKyMlhaWmLatGlGATOPgqysLKSkpBjYwHft2oUlS5YAAKZMmYINGzaI\n6Vrt7OyMzAi1tbXw9PREamqqOCtlWRY9evRAREQENm/eLG5PTk4GAEyYMAG+vr5i3nFT8Dzfpojr\nj8nPz0fPnj2RlZWFs2fPig+dkpISHD16tMP3YuXKFUbbXn11G3r2/KND55uK+HxaoXeC0u0hhGDz\n5s2iIDY2NmL37t1YtGjRA6n52NTUhNLSUlhZWcHR0bHNY8vKyow8PloKtVwux6JFi1BZWYkDBw7g\n7t27RsJrYWGB/v37Q6VS4cqVK2AYBi4uLpg8eTJ+++03A5MDz/O4ceMGJkyYAKVSiVdeeQVxcXGo\nqam5p5mfTqcTTSfZ2dlGSbTKysrabcOUgLc3+26Nra0tPD09O3VOd4YKOaXb09jYiOrqagPhYhgG\nBQUF9y3kxcXF2LhxIwRBgE6nQ79+/TB58mQjO7MgCLhw4QLS09ONhNze3h6XLl3C8ePHwfM8XFxc\nEBISgrt375r0o46KigLLspgwYQJGjx4Nnuchl8vBMAwsLCzAsqxBHxzHIS0tDQzDIDAwEH/5y1+w\ndetWsQBEZxAEAWfPnkVxcXGnciwJAoMvvvjMaHtnBZxhGAQEBJiN+HxaoUJO6faYChwhhMDGxua+\n2969e7dBQMuNGzfQq1cv9O7d2+C4vXv34tatW2KoOtBs0+Y4DsOHD8eRI0fEmXdJSQl+/fVXs31e\nu3YN4eHh4rW1vL6BAwfi4sWLYsSlRCKBRqPBgQMHxOPffvvtDvuBmyIvLw95eXkdOnbXrpdw82Zf\no+3mBLwtG7E+f8yMGTNMLsg+zVAhp3R79LPXI0eOiFk7AwIC4Ovr2+E2qqqqkJqaCkEQ0LdvXzHQ\nprX9WqfTGZkX6uvrkZGRIQo1IUQseRYSEoIzZ850yrujZQUdvTmDEAInJydYW1tj0aJFuHLlCsrK\nylBYWIjy8nLxeJ7ncerUKYSHhyM/P79Nzw+WZcW8LJ3FlPlk4cJ/w83NvCtijx494OXlhXPnzpl8\n0AiCgNGjR1MRNwEVcspTwcCBA+Hu7o7CwkLY2toiMDCww4JQUVGBH3/8UfSx/u233zBv3jx4eHjA\nwcHBYIGQ4zijlLCmsgCyLAt7e3vIZLJO/TKQSCTibF+r1WLTpk1ioI+NjQ1mzJgBd3d3CIKAjIwM\nI9OMIAjIz8+Hu7s7XnjhBRw5cqTNcnEymazDYwPu3f6tL2SRkpJidkYuCAK+//57ODg4YMSIEWL1\nMgp1P6RQ2iUuLg6pqakGn2k/Pz/ExMSgtLQUGzduhFarhSAIGDhwIF544QUD4SaE4Oeff4ZKpRIX\nC+VyOd59913IZDJoNBp8/fXXZkuX6YOBBEFAv379MGHCBHAch+PHj+P8+fNGxzs5OUGtVpud5TMM\nI7o+mgsA0qMfX1vU1lpj9er/MtpuSsAtLCzA87zB2GxtbRETE4Njx47h1q1bbfalRyqVYtKkSd0u\nhTZ1P6RQHhINDQ1GXy69ecPZ2RlLly5FeXk5rKysjDIIAs0zyalTp+LMmTMoKCiAg4MDPDw8xCLm\nzz33HJYsWYItW7aguLjYIKCG4zjMnDnTZFkzc4uVphJmtYQQ0qGizQDaNL2Ymn03bzc/Aw8JCUGf\nPn2QkJAAjUaDkJAQPPvss6ipqemwiOvHdfny5W4n5PcKFXIKpR369euHnJwcUdSkUin69v3PAp5E\nIjFZ/ABoXpjULzTK5XLMmTMHV69exdmzZ8VZaVpaGpYsWYIFCxYgJycHx44dQ2NjI3r27Ilx48aZ\n9ZeWy+Umt5sq9CCRSEyKt1QqNRJr/Yyd53mTs0NTAv7++/+AtXW9yfG0JDk5GSNHjsSCBQsMthcW\nFpo8nuM4CIJgNm0ApRkq5BRKO4SEhKCurg7nzp2DTqdDQEBAh4KJSktLcejQIVGwa2pqsGXLFiMf\nbp7nsW/fPowbNw6bN28W9+kjN1sXiKiurkZjYyOee+45bNiwwahflmXh7++P4uJi1NXVQS6XIygo\nCCkpKUbH6nQ6UeT1Dwy9gFtaWhosrD4I/2+O49DQ0IC8vDwkJiZCEAQMGTIE3t7eJo/X6XQIDg5G\nenq6wT2TSCSIjIzsVN/dGSrklKeWCxcuIDExUfT/njhxotlZ3rBhw2Bvb4+9e/ciKysLmZmZGDZs\nGEaPHm22fZVKZTQzNheIU1hYiOPHjxvsEwQBly5dQnl5OaZOnQpra2v88ssvoqhxHIfnnnsOv//+\nu5ggSyaTQaFQYNq0aZDL5aitrUVDQwPKy8uRlpZmcvFT7yHSOmUuIQSZmT2xffsrRuNNSDiBixcv\nooMWGhGpVIqKigrs379f/CVw8uRJjBkzBt7e3sjPzzc6/qWXXoJWq4VKpRIXQwcPHgwvL6/Odd6N\noYudlG4LIQQXL17ExYsXQQjBwIEDMWLECLAsi/T0dOzbt08UE4lEgsGDB+P555832ZZOp8NXX31l\nIHZSqRSvv/463N3dTZ7TOkd4W9jY2KCpqcnksSzLwsHBAb169cJvv/1mtP/DDz+ETCZDcXExCCFw\ndXUFx3FITk7G4cOHxQRXffv2FYXQ2dkZpaWlZr+npmbfTk6lWLz4B/Ha9TldTGFKA2xtbREaGorL\nly8bzPSB5mpBb775JtauXSu6bzIMg0mTJiE0NNRkH92Re9VOKuSUbsvly5dx7NgxA/FVKBRYuHAh\njh8/jmvXrhkcr1QqxZwnrTl//jyOHz9usM3CwgKTJ09GcHCwyXMIIThw4IAYVdme90dbSCQSsCxr\nso1p06YhJCRE9IhhGAYVFRVYs2aNwbVbWFhg2bJlEAQBlpaW+Prrr1FbW2vQlikB/+yzL8Cyxt9n\n/a8NU991CwsLgzS6AODi4gK1Wm32wWZpaSkWrvDz88PIkSPNPiS7K9RrhUJpAc/zuHDhgpEpoaam\nBocPH4adnZ1RKLu5Yr4FBQU4efKk0XadTmeyWk9VVRXy8/PFwskDBw7E9evXOxXS3pq2IjGbmpqw\nceNG5ObmgmEY9OjRA97e3uKCZcvxNjQ0wM7ODgAwadIkbN++HcC92b/NCY6FhQWcnJxQUFBgsN1c\ndSI9LWfpWVlZ6N2791Mn5PcKFXJKt0CfuMra2hpSqRTr1q0zG5FYXFyMF154AdeuXUNTUxMEQQDH\ncRg/frx4TGVlpRjJWVVVZVJIeZ7Hjz/+iKlTp4qz8pycHFEcGYaBm5sb5s6d2+GQdnPY2trC2dkZ\nf/xhmBlQKpXi1q1byM/PByEEhBBkZWUhOzvbyD6v0+mwb98+uLq6IjIyEnPnNuDixftfwNTDMAz8\n/f0xY8YMnD592kjIO4NWq0VqaupTZVa5H6iQU7o8BQUF2Lx5M4BmsbK1tTVKkqWHZVm4uLjAxsYG\nf/rTn5CWlgadToeePXtCp9Nh3bp1UKvVou94ez9zeZ5HXFwc3NzcoNFoDLxOgOYFz+vXr8PHx8es\nCyAAMb+3uZl3VVWVUYk1pVKJOXPmYO3atUbBP/qx600y+hwvubm5eP31ef931H8KT4wYcQ5jxjTn\nd+E4rtMl3YDmmfjQoUNhYWGBy5cvd+pcc+3p0Wg0SE9PB8/zCAgIgL29/X23352gQk7p8uzcudPA\nHmsuIEYqlUKhUIjufHK5HEOHDgXQnOP7u+++M7LrdgSWZU16nQDNM8vq6moMGDAA48ePx8GDB80+\nHAICAlBdXQ2dToeKigoDUddXCGp9PTY2Nm0G98yaNQu1tbU4ePAgPv30E6P9pmbfvr6+yM3NbfOa\nTdHY2Ig9e/Zg1qxZ7Sbl6t27N3Jycszeb5lMJroXNjY2IjY2FnV1dSCEgGVZxMTEwMPDo9Nj7K60\nKeT5+fmYO3cuSkpKwDAM3n77bSxZsgQVFRV4+eWXkZubCz8/P+zatYs+ISmPBUEQUFNTY7Ct9SIc\nx3EYOHAgwsLC4OLiYtLF8M6dOx1eZGpdl1JfBLn1OPTH6t3kBg4cCLVajfPnzxvNoDmOg4ODA7Kz\nszv0SwBonqUeP368zYRb27fvwfLlH6Dl7BsA/ud/voSFhQVqa40X127fvm3w3srKSjRBtcRU+L5W\nq0VycjJsbGxM3g+GYRAUFISXX34ZeXl52LZtm+j94u/vL6YjiIyMFNcfLly4gJqaGoPrPHToEN56\n6y3zN+cpo00hl0ql+Oc//4kBAwagtrYWgwYNwtixY7F+/XqMHTsWH3zwAVatWoWvvvoKX3311aMa\nM4UiwrKsaErRI5FIYGtrK9rI/fz8xHJn5uhobmsXFxeMGDEC+/fvFz0sFAqFyWAbAAgLC0OPHj2Q\nk5ODffv2oba21mSyLo1Gg4sXL3ZoDMB/anBmZGSYnP1+8cVyCIJxSd6VKz//v3vmgBdeeAHbtm1r\n96HR0NAAKysrg3S9Dg4OeP3117F27VqDew80R6qaQy6XY8aM5rJuPj4+WLZsGSorK1FWVoa4uDjx\n3tTW1mLu3LlgWVb8ldKS1t42TzttCrmbm5tYS9DGxgZ9+vRBQUEB9u/fj8TERABATEwMoqKiqJBT\n2iQvLw9FRUVQKpWdyjzYHrdv3xZnhQzDgGVZhIeHY9SoUaisrBSFvmV/NTU1uHr1Kurr6xEaGgpP\nT0+TuUxMMWTIEISEhMDd3R0qlQrW1taifb4lHMchLCwMEydORFVVFbZv3y6aRkwJZ2ddzgRBQHBw\nMIqKilBeXi6eb8r7ZPbsLQgMzBbfsyyLWbNmIT4+vsN5yVuKONAcXapWqzFhwgT88ssvHc7d4uzs\nbJByQCaTwcXFBVu2bDEwHRUWFiItLQ2hoaEIDAxEWlqagc9/R/9fTwsdtpHfuXMHycnJCA8PR3Fx\nsZhbwtXVFcXFxjmGV65cKf4dFRWFqKio+x4s5dHT0NCA06dPQ61Ww8/PD8OGDTNI6tQRzp49i7Nn\nz4qV3oODgzFlypT7FvPKykrs2LHDQCBlMhmee+45MAwDpVKJqqoq7NmzB7W1tfDz80NoaChiY2NF\n8U9KSsKzzz6L5557rkNieu3aNQwePBhOTk5wcnISFxFbn9uzZ08EBATg8uXLqKur63Q1+faQSCQo\nKirC+PHj8dNPP+HDDz8wOsac9wnP80hISIBare5wf62vkWVZ1NTUIDg4GKNGjTLysTcHy7LYvXs3\nJBIJvLy8MGjQILAsi/p6wzwtOp1ONM0EBwejvLxcDOkPDAw08DDqypw+fVosXn0/dCggqLa2FpGR\nkVi+fDmio6OhVCoNPgQODg4GC0w0IKh7oNVq8cMPP6C6uhqCIEAqlSI4OBjR0dEdbqOxsRGrV682\nEDKpVIo33nhD/LVnDkIIkpKSkJKSAqlUilGjRsHPz0/cn5aWhgMHDhjZaXv27IlZs2YhPT0du3fv\nFre3VSjhpZdewvHjx43MBK3x8vLC/PnzDbb98MMPJosW64tY3E81HnM0F1H2xeefzzXa98MPa9r1\n2e7o2FiWhbW1NQghBuYMqVSKiRMn4vLly2IKgM4ikUjQo0cPzJo1C+vXr8fdu3dF3ZBKpZg9ezZ8\nfHzE4/X7unNhiYcWEKTVajF9+nTMmTNH/AK7urqiqKgIbm5uUKlURon0Kd2D27dvo76+Xvyya7Va\nXL9+HRMnTuywTbmhocGocjvLskaubYQQNDQ0iNF9QHM05enTp8UZ97Zt28SCDkCzvdWUEN26dQur\nVq0y8ojQ+4SbIi4uDtOnT8euXbvMfpGkUikiIiIMtlVUVJid2ba1aCmTydrMBd56QbUl5tLHnj9/\nAXK5HAcOtJ3Gtr2x6bGyssK4cePQp08f1NTUYNu2baisrIRUKsWzzz6LgwcPdtikYgqe55GTk4OK\nigrMnDkTW7duFdP4jh071kDEge4t4PdLm0JOCMH8+fMRHByMpUuXitsnT56MjRs34sMPP8TGjRs7\nNUOjdB3aqtTSUWxtbWFhYWFUbb3lbLy4uBhbtmxBQ0MDGIYRA2wuXbpkcJ5Wq8W1a9dgbW2N0tJS\n2Nvbw83NDXfv3jXqt7NuhDqdDnZ2dliwYAHOnDmDiooKMAyDoqIiccxBQUFigQf9w8ZUlfuO9te/\nf3+Ti6QRERGoq6sTfdz1mBLwZcv+F7a2zSaIY8fafgCYQyqVisWj9bAsi7lz54r/JwsLCyxZsgRa\nrRYSiQTx8fFGIi6VSsHzPFiWhaurK6Kjo3H48GGzRaSBZnHWarVwdHTEggULoNVqUVRUhJycHCQl\nJWHAgAGdrlL0NNKmaeXcuXN49tlnERoaKj4Nv/zySwwdOhQzZ85EXl6eSfdDalp5cGi1WtTU1MDG\nxuaRf6AbGxvx3Xffob6+Xgwu8ff3x6uvvtqpdsrKyrBjxw6Ul5eL5cj0sy1CCL7++muDGTrHcZg0\naRIOHTpk5Dvt4+ODwsJCUbCGDx+O33777b5mhi0ZPHgwJkyYgKKiIqxfv96of5lMBmdnZ8ybNw8A\nsHr16nvyPQeahc/Ozs5gsRJoFtG+ffuipqYGubm5WLHi/qvPt0fv3r2RnZ0t/noKDw8Hy7Ji7nUH\nBweD4w8cOICrV68abFMqldDpdKivr4enpydmzJgBa2trZGVlmfWO4TgOH3zwgfjZTktLQ3x8PHQ6\nHTiOg62tLRYsWPDUiDlNmtUNyc7Oxs6dO8X306ZNM6rO/rCprKzE0aNHUVlZCV9fX4wZM6bDZpXW\n1NTUICcnBxzHibPb2tpafPPNN0ZC3DoPijkkEgnkcnm7tu2OwjAMRo8eDXt7e+zfv99kkiqJRIKx\nY8ciNzcXN2/evO/+TH1XUlL6Iy7O+JfugxZwPRKJBAzDwM7ODoGBgbhw4YK4Tx+A09LUUVxcjHXr\n1hl4khBCxFk9y7Jwc3MTfb2PHj1q0r1SIpFg8uTJYqWff/zjHwYLn1KpFM8//zwGDRr04C/6CYQm\nzepmNDU1YefOnQYzwr179+LPf/4zrK2tH9k47O3tMWvWrPtup7S0FD///LMoznK5HG+//bbZRFUd\nNd/ow8nbE3KWZeHo6Ai1Wt3m7J0QglOnTuG1114zOwae51FeXo709HST+728vEyae0zROnjJnP37\nm2/+1Skvk86ivydlZWViGlk9giBg27ZteOedd6BQKAA0r5PNnz8fv//+O3ieh52dHa5cuSIKuSAI\nUKlU0Gq1ohjn5eWJhaJb0tK1sfWDU6fTGaW8pRhDhfwJRa1WG7n5sSyL8vLyRyrkD4rDhw8bfCF5\nnsexY8fQr18/PP/88zh8+PA9zUT0QsFxnCiKLMvCx8cHOTk54k90S0tLvPrqq0hMTDQbvKNHEAQU\nFRVh9OjROHHihFGpMalU2ubMyZRYmaNPnz7Iy8vDe+8tM9rXMn1sU5Ppsm5A88PA3t7+oQp9U1MT\nYmNj8ac//UksMefq6oqpU6cCaF5gNpVfRR+EVV9fb9KTRp+yVk9AQACysrIM7PX19fWorq42WQ+V\n0gwV8icUW1tbo0UrnU7XZVMhtJ4xC4KA1NRUZGRkiNGRHTWPMAwDiUQiVq7XZ9lzdnbGsGHD0KdP\nH1hZWaGgoAC3bt2CTCZDWFgY5HI5pkyZgvT09Dbt2oQQNDU1ISoqCiEhISgtLcWxY8fEQgz9+vVr\nMylUZxYbZ8x4yWhba/OJpaUl+vbti0uXLplsQ6FQ4LXXXkNsbGyHiljc6893jUaDjIwM9O/fHxUV\nFZBKpeLnMTAw0KhNhmGQnp6Ovn37guM4k30+++yzBl5vU6dORXx8PLKyssRruXjxIq5cuYK33noL\njo6OnR730wAV8icUuVyOCRMm4PDhw+LC3pgxY7rsrKRHjx6orq42MGvoBRMwX63dw8PDoDAvx3Ho\n378/FAqFGF2sp7S0FC4uLqK5xtPTE56engbHaLVa2NnZGcwOTQmb3rxgbW0Na2trvPXWW6itrYVc\nLkdKSgquX79u9lrbKhgMAJs3z0Z2tnFk4rVrqYiPjwchjLi4TAhBSEgIgoKCUFFRgezsbKPzXF1d\nsWHDhg6JOAAxMEv/QOxMwYuGhgZ8//33qKurgyAI6NWrF6ZPn24ySEwQBFy8eBE6nQ4hISHo27cv\nMjIyoNVqxdwyrd05LSwsMHPmTOzatcsg/YAgCDh58qQY3k8xhAr5E0xYWBj8/f1RXl4OpVJp5Dnw\nOCCEIC8vD1VVVXBzc+twDMG4ceNQXV1tkE+7pdCZqzLz2muv4aeffhK9WmxtbeHv74/ff//dZD85\nOTlwdXUFz/O4du0aNBoNgoKCxAIFR48eNQpes7OzQ2VlpUE7Lf3NT58+LUament7Y+DAgW1Gt0ok\nEnh7eyMrK8tguyn7d2joNcTGNuDmzZs4erQMbm5uCA8PR3V1NbKyslBQUIDk5GRcvnxZFGBTSa46\nO8PW+5ELggCFQmEywVXrcm4sy+KPP/5AZWWl2F9GRgZ++eUXREREwMnJSXTX1JOfny+6E0ZHRyMp\nKQl5eXlwcHDAyJEjDcL1gebF9d27d0OlUhl9PjqbVvdpgnqtUDpM69JlOp0OVlZWkMlkGDJkCMLD\nw9sN2uB5Hrm5uUYLua1hWRbPPPMMxowZA57nRfNJcXExTpw4YfZcfSKr1hXXX375ZQQGBuKf//yn\nkQnH2dkZFRUVokmkZZ4UvTuc/peE3uOmvr4eKpVKrDjfEolEIvqI63S6TlXf0c+UWZZ9YC6V7dHe\n91X/P502bRqOHTtmMmGVvqr9xYsX0djYaDR2juOwZMmSNn9R6nQ6/Otf/zJZoFoqlWL06NEIDw/v\nzKV1OajXCuWhU1BQYJC8CPhPFrqTJ0+CZVkMHjwYpaWlYBgGTk5ORjNXfcKj4cOH4+zZs+L+1sJs\naWmJUaNGief4+voCAHbt2tXmA8BcJZ/Dhw9j8uTJRh4QHMehV69eyMrKQklJCQRBEAsx5+fnIy4u\nzsDmrdPpkJGRgZdeegmVlZU4efKk0ReP53lkZt7B8uWfGo2lI+XT9DPle6XlGkJHaE849PsTEhLg\n6Ogo5gVvCc/zSExMxAcffIAbN27gyJEjBiYbjuPaNeGo1Wo0NjaafDAOHTpUzB1PMYYKOaXD1NTU\nmDUpaLVaXL58GVevXkV5eTkYhoGzszNiYmIglUpRXV0NrVYLBwcHsCyLyMhIhIeHo6GhAb/88ouB\nHRxotsXyPI8jR47gzp07sLOzw4svvmhyIdHPzw+5ubltClJDQwO2bdtmIG4cx8HGxgYRERGorKwU\n7eZ6Dw2JRGJ24TI+Ph7PPPOMUZ/m3Acflv+3HpZl4eTkhPr6egQGBmLChAnIzc3FhQsXkJOTY/Bg\nMDXrYxgGPj4+yMvLM3sfq6urMXXqVOzZs8fkrFtf/Dk4OBgJCQkGWSmtrKygVCqN2hQEQQz7t7Cw\nMLrfUqkU8+fPF5P0UUxDhZzSYdzc3NqcKZaXlxvsLy4uxsmTJ0XbOMMwsLW1xbx588TyY/ow+9ZC\nTgjB9u3bkZ+fD51Oh8rKSvzwww+QSqUGwUIsy4r1KttCLpcbVQ6Sy+VYtGgRpFKpUQ5tUxV5Wu8v\nKytr0/97/vyD8Pa+0ua47gV9KHzraw4ODsbw4cMhkUiQlZWFnTt3imLLMAzc3d3Rr18/WFhY4OzZ\ns2KxBqlUipEjR2Lo0KHYunUrCgsLxfvbuo/t27dj7ty5UKvVBiYnffscx4HjOLzxxhvYu3cvKioq\nRDfF1vnga2trsWHDBjEpW79+/TBgwACkpqaKbqWBgYE0l1MHoDZySqfIzMzEnj17jITE3P/cwcEB\nNTU1oigyDAOFQoG6ujox1ey4ceOwfft2g4eAs7Oz0YNBj76KjL29Paqrq41SoLbGwsICPXv2NPI0\nUSgUWLZsGQRBwF//+tdO3QepVApCSJvl0/z9/ZGbm9tpM4lSqUR1dbU4k62vrxdnu9bW1nB1dTVa\nSAX+s8g6Z84c/PTTT0YPxz59+mDmzJkAmn9BXb16FdXV1fD19UXPnj0BNAt3fX09WJZFUlKSyRSr\n/v7+mDNnDrKyshAXF4fGxkZ4eHjg5Zdfho2NTYevc8uWLQYLtVKpFBMmTIBMJkNxcTEcHR0REhLy\nVCXLoiH6lEeGIAjYvn077ty5IyZJ4jjO5AzW2dnZZIpXPSzLIiAgAAzD4NatW+L2IUOG4MqVK2ZF\n0NHREYsXL8aqVavajPxjGAa9e/fGkCFDsGnTJqO+X3zxRbi6uuKXX35pN6BGvwhZUuKEb79daLTf\nlOV3X2cAACAASURBVPnkXpJYAcDixYuRkJCAgoICyGQyeHh4wMLCAsnJyW0+GDiOw7x58/Dzzz8b\nfQd79eplFKVLCBHL1Hl4eMDJyclg/9atW00+NPRpbPv372+0r6OsXr3ayBNlyJAhYk3VpxG62Em5\nL3Q6HRISEpCRkQFLS0uMHz9eXGBszd27d5Gbmyv+rDZX/d3GxgYhISE4c+aMWQ8MfUBP64Ww5ORk\nhIaG4saNGyYfEPoPe3BwMFJTU8X2JRKJmB9fvy0zMxNKpRJSqdSgLUEQcOTIEQDNJdzaE3JTyauA\ntu3f91pQYv/+/SgoKBDPr62tNXufWyIIAjIzM00KwuDBgw3eE0Kwd+9e8XhBEBAdHY2+ffuKx/Tt\n2xe5ublG/wOtVouDBw/CyckJnp6eoq3b0tJSjPxsD6VSKSZkA5r/d/o6nZTOQYWcAqA5hF4viFVV\nVdi6dSvefPNNk/bJ1mW/TMGyLBYtWgQLCwvcvn0bBQUFomugIAgGtlWFQoHKykoDsec4DoMGDYKP\njw+OHDliJCT6CL/x48eDZVmkp6dDq9VCo9EYBPvovUCSkpJMznT07RYWFsLd3R3FxcVGYmnK/v2X\nv/wTdnadT9Slj3BsS5BtbGxw9+5dg2MIIR1yRySE4I8//hCDklpy/fp18dcP0Fz1KzMz0+DexsXF\nITg4GPX19Th58iTKy8vh6Oho5B+u7ysvLw9yuRwbNmxAQ0MDBEFAeHg4xo4d2+5Yp06dip9//hk8\nz0MQBHh5eWHgwIHtnkcxhgo5BUBz+tCWQsHzPG7dumVSyJuamtp1bdNnJQSAuXPnoqioCDzPw9nZ\nGdu3b0dRUREYhgHHcZgyZQo2btxo1IaTkxO8vLxw7tw5o4VKOzs7sZ+JEyfCzs4Ov/76q9nx6HS6\nNm2thBBUV1fjtddeEyu7d8b/u6MQQjB58mRxEbg1DMNALpcb+Wp35ud2VVWVSffD9PR0+Pn5ISws\nDABEO3xLBEFAbW0t1q1bh5qamjYfOCzLwsbGBrt37zbw/b506ZKB3d0cDg4OePfdd6FSqSCTyeDu\n7v5U2cMfJFTIn3IIIbh+/brRF5ZlWaOoOz3mcn60pHV+en1kJdBcsLugoABarRYeHh6wtLTE7Nmz\nsX37djQ2Noph2snJySgoKICTk5PBgqlUKjWauaWmprZ7ne2JYV1dHX7+WY7/9/867//dUQRBwPXr\n12FnZ2cgfi2zIJaUlBgFNvE8b1TJ3hwajQbvvPMO1qxZY/Bw1mq1KCwsFIXcw8PD6P9ua2sLlUol\nzq7NwTAM3NzcEBwcjP379xvcW57nUVRU1K6QA80L0S2TZlHuDSrk3RCe51FbWwsbGxtIJBLU19dj\n3759KCgogK2tLaKjo8XKL/pIzdY/2wkhSEtLg729vVEO9PbstAzDQCaTYdeuXRgwYADOnz+P8vJy\nuLm5YfLkybCxsYG3t7fBOV5eXviv//ovsQLNjh07kJOTA57nwXEc7OzsIJfLIZPJEBUVBYlEgri4\nOGg0GvTp08eswFlYWECj0bQr4vfr/20qotQcTU1NRsUkWp/X0r1S/3djY2OH87RrtVq4urqisLDQ\nrA3a2dkZU6ZMQXx8PARBgK2tLWbPnm2UxrY1HMdh6NChGDNmDFiWFYtj6NGvU1AeHdRr5SEhCAIu\nX76MgoICuLi4IDw83OwM90Hyxx9/iAWHGYbBzJkzceLECTFqEWgWt3fffReCIOCbb74xWJBrnR9b\nKpUaFbSIi4vDtWvXOj02lmXh4OCABQsWiDk3nJycMHLkSFhYWIjHqdVq/PDDDwYPF33BZhcXFxQX\nF2PDhg3tRgoGBgYiMjIS8fHxZsXJlIC3TB/bHnq/aU9PTxQXF7frCimVSjFu3DikpqYaFBvuKBzH\niT74+veA8aKq/sHSsl4qy7KYPn06goODDY4lhOD/t3fmcVFc6d7/VXU3Dc3SzdqgIAICgsgmChGJ\nCwpGo0SNiUvcTUwmN/edyTaTO5+8k9x7ZyaZT+ZmZkwmJhoTvSYmJnGLu1HBBeOCKCKCyr42q8jS\ne9f7B2/VUFQ10GwKOd+/oKq66pw63U+des7z/B6DwcCNgV6vx8cff4zW1lYwDAOJRAKVSgWj0QiK\novD444/z3ohqamqwY8cOzvc/btw4LF26lLhJ+gAJP3yEYBgG3333HSfFKZVKMWrUKKxdu3ZQv9zt\n7e3429/+xvONitVjlMvleOqpp+Dp6SmQPhUbO39/f6xduxYWiwVVVVXYsWNHn3VAZDIZ/P39uUgI\nVgVv06ZNnFGqq6vD1q1bee2SSqWgabrXSn2xsbGYN28eaJrGn//8Z4G/uL/+7zFjxkAqlUKn0yE4\nOBj3799HTk5Oj9/7OXPm4LHHHkNzczO2b98OvV5vk/qgm5sbUlNTkZWVBZlMhsTERFy/fh3Xrl3r\n1f2RyWRYt24dz9UlRktLC06cOIGmpib4+/tj5syZ3U5EtFotampqYG9vD29vb6vfc6PRiPb2djg7\nO3crPPZLhYQfPkKwmYyssTOZTKiurkZ1dTVXAX4waGhoEPw42LCyzpjNZhw+fJhzR3T+8oh9kSoq\nKrgK6s3Nzf2unF5UVMS1yWw2o66uDkePHkVERAT8/Pzg7u4OpVKJxsZG7jhbrimVSrFgwQIAHZEZ\nrBH/5JNN0Gi8Bcd3J2All8tF49TLysq4v6uqqnr8AdI0jVmzZnGyrSqVCv/+7/+Oa9eu4dixYz3+\neNmHnJeXF9ra2rBs2TKesczJyenVA8FisaC4uLhHQ+7s7IwlS5b0eD4WBwcHBAQEdHvMjRs3cOjQ\nIVAUBZlMhueee67HdhB6BzHkg4DJZBLMSAZSze727dvIzs7mUqtZf7dYMQqLxYLJkycjOzubezsw\nm828qAiJRAI7Ozu4uroiPj4eP/74I6+tZrOZJz/bH8QeLACQlZWFnJwcqFQqbNiwAevWrcOhQ4dQ\nU1MDOzs71NXV9co3LJFIEBAQgC+++AKtra1obW0VnX2Hh+dh48bjaG9vh9iw0DTN+fplMpmozGtn\nejLikydPRmJiIm97W1sbfvrppx6NOE3T3EJnfn4+CgsLUVJSgkWLFsFisWDXrl29LofGnmuoaWho\nwKFDh7jvldFoxK5du/D6668TF8wAQAz5IODq6gqVSsWlmLMzO2uzj5s3b+Ls2bNgGAbx8fGIi4uz\n+uXOycnBoUOHuFnm3bt3uXhvpVKJ5ORknDp1issoZAvX+vv7o6KiAkajUTB7oygKmzZt4kL6lEol\nTp8+LYhl7gpFUXB3d4eXlxdu377dq1fC7s5nNBrR2NiIM2fOICoqCqmpqVAqlZzmdW9wcnJCYWEh\nLBZLj+6TBw86ijLU1taCYRi4uLhg4sSJaG9vx+3bt6HT6QakqLOzszNCQkJw8OBBTsnPw8MD1dXV\ngjcoiUSCkJAQ3hsdTdPQ6XTcQ9poNOLWrVuYPXs259/uCVYRUaVSISIiot99shWNRiPoq16vR3t7\n+7AsXfioQXzkg0RbWxsOHTqE6upqeHh4YMGCBZyh7AyrXdI5tK67quEfffQRL0IA6NC+8PPzg5eX\nF8LDw9HY2IiGhgZ4eHgIogcqKiqwc+dOgQrg66+/Dnt7e25bTU0Ntm/fbjVeXCKRIDIyEsnJyfjw\nww/7nMEoBk3T3CKdh4cHlixZgv3794smpXTFaJTij3+0rn/SHaz2S+dQR1sYNWoUFAqFIKWd9S2z\nhtnOzg7PP/88dDqd6Fi88cYbOHPmDAoKCqBQKBATE4OffvpJUJ6Opmm4uLhw4ledzyGTyaDX6zmd\ncIZhoFAoEBERwdUcHUqqqqoEVYykUineeust4ivvBPGRP2I4Ojri2Wef7fG4a9eu8b7crJiRNUMu\nNsilpaUoLi6GTCZDSUkJ5s+fb7W2oVqthp+fH8rKymA2myGVSpGQkMAz4uxx3t7eqKys5GbRrNYI\nTdPw9PREamoq7t+/L9ATkclk8Pb25sSeWHW73tI5FZ1d+FyyZAn27t1r1T01EPKxDMMIEo+6IpFI\n4ODgAF9fX5SUlECn00EikUAul2PhwoVoa2sTpLSbzWbeuBkMBly8eBFPPvkkwsPDkZeXx10/NTUV\ncrkcc+fOxdy5cwF0POzFaoyyafFSqRRSqZTL5pw0aRJSUlJgMBhgZ2fHubN+/PFHHD58GMC/FoOH\nyqCPGjUKkyZNQlZWFhdCuWjRImLEB4huDfn69etx+PBheHl5ccpx77zzDrZt28bFo/75z3/mvnAE\n27GzsxNsk8lkVo9PSEjAyZMnBZohQMdDIDs7G48//jicnZ0Fn7116xb2798PoGM2Fx0djdDQUIwb\nN4533IMHD/D999+jvLyct50tNbZ48WKEhobCYDCgoKBAMBunKArLly+Hg4MD9Ho9J43K1qG05gqw\nJjBlNpuxZ88eUaMjZsCXLv0OEybkCdo0EG+JFEVh7dq1cHd3h8FgwNatW9HU1ASDwYAvv/wSo0eP\nFszmrUkDUBSFtLQ0REZGorm5GT4+Ptx6R+fj9u7d22ObnnjiCdjb20OpVHIL6p1DOs+dO4dbt25x\n35UbN27A1dVVUDNzMElNTUVUVBSam5uhVquHbSHxR5FuDfm6devwyiuvYPXq1dw2iqLw6quv4tVX\nXx30xv0SSExM5OldyGQyzJgxw+rxcXFxkEgkuHbtGsxmMxoaGgSv5jqdDvn5+bh58yZXaUcul/P0\no4EOw971IWw0GvH5559b9Q2zEThBQUH47LPP0NzczDO+9vb2ePbZZ7kFNblcjnXr1kGn06GhoQHb\nt28XnFMqlWL27NmIiIjA9u3brc6KOxtEW8MH2fJtvclK7Y7Oi9asdEDnyBqx4siBgYEoLy/nxkkq\nlSI6OhpAx+8pMDDQ6vU61w61htFohKenJ3x9fbltN27cQEZGBjdDv3PnjuDN7+7du0NqyIEOTfuu\nDytC/+nWkCclJaGkpESw/Zfu/x5IvL29sXHjRly5cgUWiwUeHh6oqqriigZ3nYVSFIXY2FjExsZC\nr9fj73//O0/r297eHrdv38b58+e57SUlJZgzZ47gNVar1eLKlStISEjgttXU1Ii+xrOwWuAHDhwQ\nGFypVIo33nhDNATSwcEBmZmZot8dhmEQFhbGpedbo6ZGjS1beicfK3aNpKQk3L9/nxeB013FezZq\nhc0MZfXAW1tb8eOPP3J1RHsiMTERGo0GWVlZkEgkSExM7DFUj8XZ2blXbqnOrrSCggIcPnyYG/9z\n587B1dVVEGbaXf1MwvCiTz7yzZs3Y+fOnYiLi8Nf//pX0Vekd955h/t7xowZ3c4yf+l4eXlh/vz5\nOHLkCM6cOQOz2QyJRILo6OhutZnZ2e4PP/yApqYmeHl5YcmSJdi2bRtv9sVqX4gZhFOnTkGpVCIs\nLAwlJSW4c+dOt2GSDMMgJydHVGOcLc1WVVUFLy8vpKSkoKioCEePHoVer7dqkMxmM7Zv3w6dTifq\ndumt/7s79wkrRuXs7Mw7jo0q6pwBCXQ8lNatWwdnZ2ccPHgQdXV1UKvVGDt2LL7++mubfP5qtRqB\ngYHw8fHBt99+iwMHDuDYsWNYsWIFbxYtBpu8tX//fqsytnZ2drw1DrbCDovRaITFYoG9vT1vwTU5\nObnXfSAMDunp6aLFO2ylx6iVkpISLFiwgPOR19bWcv7xt99+G9XV1fj888/5JyVRK1ZhJVy7+sbF\n0tIlEglWrlzZ69kby1//+ldenDibVm0ymURnxePGjcPo0aORmZnJGYu+jJ9cLofJZOKq2Tg7O6O1\ntbXPES22ysdKJBIsXrwY+/btEzyMkpKSoFarceDAAYEPm515d30TmTRpEp588knetvfee6/bN5au\nPPbYY0hJSYFWq8Xf/vY33oNKLpfj1VdfFV0n6cyDBw/wz3/+k7sum35vZ2cHhmGwfPlynvDUgQMH\ncP36dd45fH19sWzZMq7kXkhIyEOJJyd0z5BFrXSWNd24cSOXQUfooKWlBTdu3IDJZEJ4eDjvfl26\ndAknT56ExWKBWq3GypUrudJYWq0WEolEkIiza9cuhIeHY/Hixb2OMJg6dSrOnDnD87tHRkbCzc0N\nd+/e5el1s20+f/58v0IIKYrijDjwLznUvpxTzIDfupWHgwcPdmtEKYqCh4cHTwiKjbCZPn06zp49\na7VIhdhM986dO7h48SLi4+M5d1FPYYlKpRIqlQpmsxmTJ09GZGQkAKC+vl50/BobG3v0Gd+6dYv3\nvbBYLLCzs8PKlSvh4eEhMMiJiYnIy8vjHhoymQzJyclwdHTkfPOEkYXNhry6uppLbNm3bx8mTpw4\n4I0arjQ3N2PLli2cTzUzMxOrVq2Cn58fSkpKcOrUKc6w1dbW4rvvvsO6det4Pu6uWCwW5ObmwsnJ\nCampqb1qBxtOmJubC7lcjhkzZkCj0eDEiROi4lGdiwh3R3fKewzDiBrtrpEocrkcYWFhKCsr4/nY\nMzMfw4kTKYLPv/POu6BpGgrFqh7bxzAM7O3tYW9vj5SUFBiNRjg5OWHChAmcpkvXKkFAh6ELCQkR\nLAi2tLRwgmNpaWkAgKCgIC7hqDMURWH16tXw9/cXnVWxKoydMZlMghqXDMPg3r17aGpqgo+PD/z8\n/ERVFSmKEihIsnh4eGDTpk3cgvjEiRMHVRqC8PDp1pAvX74cGRkZqK+vh5+fH959912kp6fj+vXr\noCgKAQEB+PTTT4eqrY88Fy5cgF6v5350RqMRx48fx8aNG1FRUSGYVVVVVaG0tBS7d+/mDKFCoRBV\n0Lt8+TJmzZolGppYWVmJ9PR0GAwGxMTEICoqCk5OThgzZgyUSiXKy8tx/Phxq7PJ3s6aOxsTNm65\n6wyZNWISiQTu7u4wmUy8BBuj0QiNRoONGzfiL3/5S6/83xaLBWfOnMGqVavwzTffCIousNedM2cO\ntm3bxj1IlUolNmzYwAlTRUREoKCgAPfu3eOExGQyGRISEjBz5kxcv34dZ86c4aXjWywWXL9+HfPm\nzYNMJsOSJUtw4MABFBYWcp/38vJCWloa3NzcwDAMjhw5gmvXrgHoiNd+4oknRP2gkZGRPEPOMAz2\n7duH/Px8zr3l7++Pxx9/nBe2KZPJMHny5G7Hys3NDbNnz+b+b25u5gx7REQEiRwZYXRryHfv3i3Y\ntn79+kFrzHBHq9UKZk6soXN2dhat2vLll1/y/jcYDFaNuVar5RnywsJCZGZmori4mLtudXU1cnNz\nUVZWBqPRyFV7HwidFzZyw2KxYOzYsWhvbxdUalcqlVAqldBoNKitrQVFUVCr1VxWpsViQXV1NRQK\nBwB8I96dfGx7eztcXFzg7e2N4uJi7uFDURSCg4Mxd+5cHD58mGeE6+vrsXnzZrS3t0MikcDFxQVr\n1qyBTqeDTqeDWq3mRcnExMQgLy9PVFeFvb86nQ4hISGIiIhASEiIQBEwMzMT169f59p3/fp1KJVK\n3hixdJ2NV1dXIz8/n/cdKS4uRkVFBRYvXozs7Gy0t7cjPDwcUVFR+Oqrr7hSa2lpaVYLNDQ1NeHT\nTz/lHnCXL1/GihUrSEGHEQTJ7BxAJkyYIIgJZwvZRkRE4Nq1a5xBMxgMosbVZDKJujns7e15P/y8\nvDzRRT2j0ciLZe5Lqnl3sC6F0tJSTJ8+HRqNhjej12q10Ov1nIgTwzC81Pq+yMey2ZT/8z//I9jn\n6OiI+fPno7W1FUVFRbx9DMNwVdpNJhMaGxuxb98+rFmzxuq13N3dBSn2MpkMdnZ2yM/Px549e7jE\nKHd3dzz//PO8xUqxeO07d+7AwcGBJ2wllUoFGiNtbW2imY5GoxE3b97E8uXLuW1ffvklKioqYDab\nYTAY8PXXX+PFF18ULehw8eJFXnENo9GIkydP4vnnn7d6HwjDC2LIB5Dx48cjJSUFGRkZMJvNiI6O\nxuOPPw6gwxitWbMGhYWFOHXqFDQajdXzsPUlWZ+5g4MDnnnmGfz4448oLS2Fs7MzNBrNgKkp9gWa\npuHu7g65XM57exBbjPzoo1+hvl5YHZ014FKplFuYFOuTq6urIMuUpbW1FTt37gTQu/yGsrIy7lpi\nJCQkIDs7m3NjUBSFBQsWQKfT4dtvv+WOYxgG9fX1uHLlCk/VsGt4I1tcevr06fjmm2+4h4CLiwsi\nIiKQnp6OhoYGBAcHIzAw0GofOj8ELBYLysrKBMeWlJSIGnKdTic41hYNdMKjDzHkA0xcXBzi4uJE\n99E0jaCgIFGXVVdYJcRp06ZBoVBg165dKC0thdlsRlNTk83tYjWg+/ID7lo1COgw2Hv37u12xi82\n+46IuImnn/5XynlAQAASEhKgVCpRU1PDS2SRy+XYsGED/vnPf3bbvq4iYt1hsVhw7do1q2OkUqnw\n0ksv4dKlS5xfPSAgACdPnhQ9vmtSVHJyMoqKirgHklQqRXJyMlxdXfHCCy+gqKgIcrkcISEh+Pjj\nj7k3htzcXPj7+2P58uXYvXs3b5zYqCMWtmh154ceq7ApRkREBM9lI5PJSJDCCIMY8iFGLPmE3d7Z\nUEokEjg5OcHR0RFGo1HUx9rdNboe29taj2KwvvGu57RmxMUM+E8/ncKtW7e4hxD7YImJiYFGo0Fd\nXR0CAgKwdOlSZGRkoLGxEc7OzpygVF+w1ufc3FyrhhzoMOZdI4SsyQaUlpaipaWF07ZxdXXFyy+/\njIKCAgBAaGgo50Lx8PCAh4cHgI7Fa9aIdz4XRVH43e9+h/Pnz3NyAlOnTkVUVBR3HLuw+9NPP3Hr\nIG5ubggNDRVtY0hICObNm4f09HTuTTEpKclq/wnDDyJj2wfMZjMuXLiA0tJSuLu7Y+bMmaLJFQaD\nQVQy9Ny5czh37hwnnOTg4IB58+bhwIEDXDKNo6MjXnzxRdjb2yMrKwuHDh3qdftomoaTk9P/L5pg\n4nzMYtEeLEFBQYiIiMCPP/4IoOcCy13pjXysq6srmpubOdeGq6srmpqauGuxWtxsiTy2L319AFlD\nIpFg7dq1PWZVVlRUoLS0FE5OTmhraxOdlVMUBTc3N7z88ss2KQkeP34cP//8s2A7m0DUG4qLi1Fa\nWgpHR0fExMQMSU1YwuBCZGyHkB9++IET/i8tLcW9e/fw0ksvcRElDQ0N2LVrFx48eACapvHUU09x\ni55AR5ahp6cnCgsL4eLigilTpsBisWDevHmora2Fm5sbJk6cCLlcjoqKChw7dsxqW1hZWQC81/mV\nK1fi2rVruHLliqAiUFfs7e2xcuVKUBQFHx8fVFRUwNnZGXv37u0xi9EW+djOLiGLxSJwiZjNZty+\nfZu3baCNOEthYSHs7e2hUql4BrCyshJHjhxBY2Mj596QSCScKFVlZSXvh8YwDJqbm9Ha2iqqOGmN\nCRMmiBpyW6rPBwQE2Jz1SxiZEENuIzqdDgUFBbyak21tbSgrK0NQUBAYhsGuXbtw//59AB2G6MCB\nA1Cr1dxrNdCxMMpWpq+oqMCuXbu480VFRSEiIgI7d+5EcXFxt+3x9PTE2rVrkZOTg9zcXDg4OCA5\nORmenp7Izc0VTVzpbIhkMhnmzp3LzSbZcnEajUbUiLOfFzPgy5Z9g/HjC3q8h48CGRkZyMzMhFQq\nxerVq6FWq9HY2Ijt27cL7pnFYkF9fT0WLFiA9vZ2HD9+nHcMm2lpC76+vhg/fjzy8/O5bS4uLjwX\nCoHQW4ghtxFWZElsO9DhTukqAUtRFKqqqniGvDN79uzhGc2cnBzU19ejoqKi27ZIpVKMHz8e9vb2\nmDJlCqZMmcLta2trE/hgAUChUGDOnDnQaDQwGo0ICwtDYGAg9Ho9cnJycOrUKZhMJqsz4T/84f8K\nttlSvGGoYOPGW1tbuTh6dpGQLfRgMBhgMBjwv//7v3jsscdQWlrabeaqTqeDSqUSvPqqVKpuVRut\n8eyzz6KoqAh3796FUqlEbGxst1r0BII1iCG3EYVCAX9/f5SVlXHGQS6Xw9/fH0DHDLerX5etBykG\nwzCCBBSGYVBdXS1YEO284EhRFEJDQ60uWokZcaDD+EdGRvIeRlqtFlu2bLGqQd6TfCx7D4xGo03a\nKo8//jjOnj3b6+MBcNfpfH/F/IoWiwUvvvgitFotF29tNptRXV2N7OxsXsQHWwS5J/z9/XHjxg3B\ntdrb29HW1oazZ8+iubkZQUFB3dZd7UxgYGC3euQEQm8ghrwPLFu2DKdOnUJZWRnc3NyQmprKvVrT\nNI20tDQcPHiQOz40NBRjxoxBfn4+ampqOB84GyvOLvqxsAuenaFpGmFhYZg1axaXGNT5dd5kMuHk\nyZO4d+8etFottFqtaNvb2tpw/fp1xMTEcNuOHDkiasR76/+maRrLli3D0aNHBfHxoaGhXARHV9iF\nYFuicVauXImSkhJusVgqlUKhUECr1fKiaNiYdDbTlMXV1VWgDNgbUlNT4enpyWXodn4QODo64rPP\nPkNrayssFguKiorQ0NBAKmcRhgxiyPsA61e2hqOjI2iahl6vh6OjI6ZNm4aTJ08iKyuLCxfLy8tD\nQkICjh49ykv2ACCojM4W2a2pqcGWLVvg5eWFpUuX8gz5vn37etQSBzoM/u3btxETEwOj0Yimpibk\n5ubyjhEz4K+99lc4O4svmJrNZnz11Veiwk5tbW3w8/MTTei5cOECVCpVr+LiKYqCSqXC6NGjuULT\nJSUlcHFxQWBgoEBK2dHREQ4ODgLZ4LFjxyI6OhrZ2dmgKKpXma8URXGLxbGxscjOzubazDAMJk6c\nyEkAAx1hmVeuXEFKSgqpSUkYEkj44QDT2tqKf/zjHzwDoVAooNfrBYULrCkGdoWmaZ5oEkVRUCqV\neOWVVzg3zn//93/3+p5HRkbiwYMHKC0t7Vf5tM5Yi4/viXHjxqG8vFx0YVWtVsNsNnM1Hp9++mk4\nOTnh/v37cHR05BVTyMvLw/79+2E2m+Hk5IRVq1ahvLwchw8fBsMwcHNzw3PPPcfNzuvq6lBX3X2Z\niwAAIABJREFUVycqc9AVmqYxffp0LkvXbDbj7t270Ov1GDt2LEpKSniJTOz9+P3vfw+JRGLT/SD8\nsiHhhw8Ro9EIiUQCmqZRU1MjmIUZDAaBv9SW9PquA8tqiNTV1eHnn38WhMT1hE6nQ3l5+f8XUJqM\nI0eEVYhsXcBklfo616bsDffu3bMa/1xXV4fx48dj5cqVaG9vR3NzMz777DPORz579myuTF14eDjC\nwsK4yvFVVVU4cuQI92BpaGjAN998g02bNgHoiPbx9PSEXC4XVPwZN24cSktLuX5IJBIUFBQgKysL\nfn5+ePLJJ7mII/Z4iUTCq8kZHBxMjDhhyCAz8n6g0+mwe/dulJeXg6IoJCUlYfz48di+fbtgdubs\n7IyWlhab74tUKuUWV7v6gNVqNWpra22aBbu6usJkMuG114TFsyUSE95++482tY+FoigkJyfDy8sL\nGRkZva5nyb++RHSBl6IoSKVSwaxdJpNh3bp1nD4+S1lZGXbt2iVaCejtt9/mPVSNRiM++OADnitL\nIpFg1qxZKCoqgkwmQ3FxMXdtiUQCHx8frF+/nneehoYGHD16FA8ePEBQUBCSk5NJgg7BZsiM/CFw\n4MABbjbMMAzOnj2LzMxMLsyNrTzDMIzViJDOUBSFSZMmwcvLC7m5uWhra0NwcDCSk5Px3Xffobi4\nmPOxh4WFicaJ98T/+T//Ltj2hz+8CxuSEkVhGAYZGRmIi4vDwoULBXVDe4PYA6lzvL4YGo2GZ8h1\nOh2+/vpr0Wvb29sL3ozExkUqlUKtVmPq1KnIz8/nxfKzkS86nY6Xzevu7o7nnnuuhx4SCIMDMeT9\noLy8nGdgGIbpl2ysVCoFRVGchoaLiwtiY2NRWVmJsLAw+Pr6cg+Gc+fO2WTExfzff/zjnwAAFouE\n88H3503KaDTi4sWLGD16NFasWIFvv/1WsJA70Li6uvL+tyagJZFIsGjRIsF2sSr1ZrOZOy+r594Z\ntnAGgfCoQAx5P2A1OAYKs9nMCSUB/yodB/xrZhoREYFbt271yuDu2rUC9+4FC7az/m9vbz+4ublx\n9R0Hyh22f/9+bNy4Ea+88gq2bt2K5uZmm85N0zTs7OxgZ2cn6o6Sy+WwWCyIiYnh4vdZnJycRN0z\nq1evxpgxYwTXsrOzw9SpU3H27Flutj59+nQuVX7s2LFwdXVFfX09VxE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+ "text": [ + "" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/sergeeva/Linear regression.py b/sergeeva/Linear regression.py new file mode 100644 index 0000000..e132916 --- /dev/null +++ b/sergeeva/Linear regression.py @@ -0,0 +1,58 @@ +import numpy as np +import scipy as sc +import matplotlib.pyplot as pl +from sklearn.utils import shuffle +from sklearn import linear_model + +# Generate data +x = np.linspace(10, 30, 1000) +y = 0.75 * x + 1.35 + +# Add noise +noise = np.random.normal(0,0.5, y.size) +y_noise = y + noise * 5 + +# Make plot with noise +pl.plot(x, y_noise, ',') +pl.plot(x, y, 'k--', label ='Input') +pl.legend(loc='best') + + +# Train and test sets +x = x.reshape((x.shape[0],-1)) +x, y_noise = shuffle(x, y_noise, random_state=1) +x_train = x[:600] +x_test = x[600:] +y_train = y_noise[:600] +y_test = y_noise[600:] + +print x_test.shape + +# Linear regression +regr = linear_model.LinearRegression() +regr.fit(x_train, y_train) + +print 'Coefficients: ', regr.coef_, regr.intercept_ +print "Residual sum of squares, train: ", np.mean((regr.predict(x_train) - y_train) ** 2) +print "Residual sum of squares, test: ", np.mean((regr.predict(x_test) - y_test) ** 2) +print 'R^2:', regr.score(x,y_noise) + + +# Plot linear regression +pl.scatter(x_train, y_train, color='grey', label='Train') +pl.scatter(x_test, y_test, color='red', label='Test') +pl.plot(x_test, regr.predict(x_test),'b-', label='Predict') +y = 0.75 * x + 1.35 +pl.plot(x, y, 'k--', label='Input') +pl.xlabel('X') +pl.ylabel('Y') +pl.legend(loc='best') + + +# Second plot (to be continued...) +pl.scatter(x, y_noise, color='grey') +pl.plot(x_test, regr.predict(x_test),'b-', label='Predict') +pl.legend(loc='best') + + + diff --git a/sergeeva/classifier-KNN_and_RF.ipynb b/sergeeva/classifier-KNN_and_RF.ipynb new file mode 100644 index 0000000..d168216 --- /dev/null +++ b/sergeeva/classifier-KNN_and_RF.ipynb @@ -0,0 +1,363 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Import dataset" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import numpy as np\n", + "red = np.loadtxt(\"./red.txt\")\n", + "blue = np.loadtxt(\"./blue.txt\")\n", + "print red.shape\n", + "print blue.shape" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(502, 2)\n", + "(498, 2)\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot data" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as pl\n", + "pl.prism()\n", + "plt.xlim(-1.2, 1.2)\n", + "plt.ylim(-1.2, 1.2)\n", + "pl.scatter(red[:, 0], red[:, 1], c='red')\n", + "pl.scatter(blue[:, 0], blue[:, 1], c='blue')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 17, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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1VL9wVW2KqvpjsxXFYnGwcOGr967Yi48//hiLxR+rtRJmcyDTp+c+D01W3L59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\n1XH8+HF3GuM7CbiuYjT6cerUKW7fvk2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jZe3adO/YMdfZQP/evUlVVaaKcKvb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\nh9m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+ "text": [ + "" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Prepare data for analysis" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "reds = np.hstack ((red, [[1]] * len (red) ))\n", + "blues = np.hstack ((blue, [[0]] * len (blue) ))\n", + "dots = np.concatenate((reds, blues), axis=0)\n", + "x = dots[:, :-1]\n", + "y = dots[:, 2]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 18 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Train and test sets" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.utils import shuffle\n", + "x, y = shuffle(x, y, random_state=1)\n", + "size=dots.shape[0] * 0.8\n", + "x_train = x[:size]\n", + "y_train = y[:size]\n", + "x_test = x[size:]\n", + "y_test = y[size:]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 19 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Build clussifier (KNN)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.neighbors import KNeighborsClassifier\n", + "knn = KNeighborsClassifier(n_neighbors=5)\n", + "knn.fit(x_train, y_train)\n", + "print 'Accuracy of KNN train set:', knn.score(x_train, y_train)\n", + "print 'Accuracy of KNN test set:', knn.score(x_test, y_test)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Accuracy of KNN train set: 0.8975\n", + "Accuracy of KNN test set: 0.9\n" + ] + } + ], + "prompt_number": 20 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot KNN" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "y_pred_test_KNN = knn.predict(x_test)\n", + "plt.xlim(-1.2, 1.2)\n", + "plt.ylim(-1.2, 1.2)\n", + "plt.scatter(x_test[:, 0], x_test[:, 1], c=y_pred_test_KNN, marker='^')\n", + "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 21, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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Rov39c43HkiGsj7h/gwqaxsaNG+nfowc9rFb+FOFHEUqoKhs3bvR8CJLE5eKa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\nM21k+eSTTyiuqmwS4Qu3xj5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x+fD7zeD333/H7rV77lMRKt+yABVuMPDDDz/kuc7Y0FDW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BsqcfDgwRe+9/z8fHz22WeYPn06vv/+e2zbtg1SpRhhq3hh8dR8gs6dw9KlSzHuvXGYPXt2hbvO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\nWRbeeecddBah0u1CaAvBYNOwaNEi/GMUWh9Wx1pjpobqWf+eJ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dHRV5S3jRsz\nhjFuoQZE2CJCVRHibbZSM/8vPPcctRSFY+4pdTOjkXSDwbOPF0QwiOBvNJIWE1PhZNtPP/2EPchC\nyx/V82/ypWDzV66QNjt//jyrV69m5cqVHsENULsv7UEK4Q3MmJw6gkICCYrwxxKiw+AQQiKDaNi0\nHtlNa6M3axhwb78Kjcsbu3fvJlRR+MF9rm+KEB0cTFJ6ArGtrSQPNGMPUvj4448rvM9Dhw5hCzBT\nc55QPauKzwcsMj6UhhuKqYorNbDy6quv+mx/+vRpNm3axNdff13qx88ZZKPN0eJnK/VBvYc2+8KF\nC7z++uvMnz+/QtwwRUVF9OzTDWekQmSmg9CoQJ8PWlFREXd17UqkolDD4SA+LIwffvihwtejoKCA\nAwcOlDuzeOiBB+hjMnl6Oh7V6ejZocMV+7q7Rw/Mej02k4mJ48ffMPWk0vDDDz8Q6SWZl+uedV9+\nP5aJ0LlZs5s6hmvBLeNeAezbt48Hhw/nweHDaVSvHnVr1SK3fn3Gjh7N2DFjSn3QZ86eSWBlhZrz\nheThesJjQq5IbBUWFjLrqae4rWlThtx9N43r1GGp14MTI8JWr7+fEmFoGfzWY0ePZryXcd8mQiUR\nqiUklFrn7HK5eGjkSCwGAya9nnZ5ecQpCqfds4dQUduwEWGmRkOtlBTPtjt27GDRokWsW7euxJds\n/gvzsAWYqVTHiT1QYcV7vvXI//vf/6iRlESO3U6e3U5sSAgHDx70/P7AAw+gtwuJDwjh7QWzU8/6\n9et9wkqDhg4gvpcBq7+5wqRcl/H666/T9W80yVadjugORk9SNec9Ia1W2Rwr3rh7UB+qPGSgc5EQ\nkmb18d5NioEOp72M8nBjiQpkJcH7+vbocztxXc20/kVouEFwhKiJyvz8fGrlVCcq10pyPwv2IIUP\nP/ywQvves2cPW7ZsucIIv/jii2RbrZy//AxotTTNyiplT9eOHm3b+swgN0rJSVJQPzg326hfxoED\nBwgxGLjkHtcAEfq7Z++FIvQwmxn34IP/yFiuBreM+03G22+/zZ397uCB0feXSIU6tH9/6ikKb4kw\nSq8nKjCQAIuFB7VaBun1+JtM1LZY+FKENSKEK0qZIuG7du0iyGplvqiUv3Ei1EhMrJDRKyoq8oQA\nhg8cSKTRSLJGQ0+vF+6SCFqNhllPPUWAxYJZhCp6PalWK/3uuKPEF+7IkSNs2bKlxKaYsQ88wN1G\no8dbm6zT0a1tW8/vlgC9x9PtghDRUWjXrp3Pvq3+ZtoeE9JGGhk8bOAVxygLW7duJcZq5aTXTMdm\nMPiIdbc8IITFBFVof4cOHcJg0pH5ilB/jZBwn6/33qhFPVJH6elcKDTfKzgjlApRDx84cIDYhBgP\nm+HZs2fpdXd3AsOdxKVGefI2CxYsIKal4vkwNVgnxCRHXtU1+TvGjhnDY17PwEERQu12hg0axIA+\nfa6qcqssPD1jBo0VhbPucEdPs5lhAwbgcrk4ffr0TTHm+fn53DdkSJniKadPn8ap09FZhHdF6KbT\nEWAwkGazkWiz0ah2bc6ePXvDx3a9uGXc/w9RWFiISa/34TRpa7MxY8YMJk2cyLTHH+fQoUNMnTiR\n9JgY6qSkVEgF6Msvv6Rzixa0zM7moVGjaN+4Mc2zspg+bRr9+vSp0Esy79lniTaZ6CRCiojHa9so\natVBZUXhOxF+E6GFO1xU2Wq96nb1v8f7N4mQnZbm+V1v0/hUjySPFermFHuNg4YOIHmIgY5/qRQE\nitN01d772JEjiVAUmjqdBCkKU6ZMwT9aodkutRwxvruJXvdUrH55x44dNGqRQ4MWWZ6lXefWno/m\nsWPHyGpUG51BZYtctKRiMeA7+nbHHKhl9LhRZa43ZcoUUkfripOjx9Uk9vXglVdeIdNq5S/3PZqm\n1eLUaIhwh+vMIswoRaN13759LC9DLN0bly5dok+3btgMBvxMJlo1asTnn39OfFgYil5PsMNRohTn\n9WDus88iIsyeNavUdaZNmcLtZjPjRKgpQmpUFH/88QdffvklX3/99RXJ9gMHDnBXly60ysnhyWnT\nrksP+Xpwy7j/H+LSpUsYdTrOeBm3jjbbFTHYa8VXX31FkKKwWISVIsTpdOhEfKpzSkPV6Gi+cE89\ne4sQK0ILo5EgRaF1Xh5zvMa8XYQaIrR3OK66HOzZWbNooCicEZVL5HazmRGDiuveE6rGEt5ObcvP\n3aw29jz99NOe31PSkzBbjV6LqUJMm3/Hrl27+PDDDz0fhucXPIdfsB2jxcBt3dtfkSe4jKKiIsZP\nGEdodCDhccHMnD2zQscrKCjA5XJRUFDAg2NHUrVOMk3bNOSbb765Yt0DBw5gCzSTt1M11CVxkV/G\n5s2bcUaoH6bb8oWkgUbadm5ZoTGVhqKiIvr36kWw2Uyq3U6QxUKQqGWILlErv+xabYm8Ra0aNMBh\nNpdaxVQS/vzzT06cOMGFCxeICgridfdz9qmoTX/XIwbijfz8fCL9/VkgQoSfX4ne+4ULFwi02eio\n13O/wcBAgwERKTV/dezYMSL8/Zmi1bJKhHqKwv1DhtyQ8V4tbhn3/2P0u+MOmikKa9whiaigoDJf\n3qvBiCFDmOJlhD8VtXomIympXO+9SnS0J9bvEuFOETp17MihQ4cYO2oU93olXF8StSQtSFE88XKX\ny8W+ffs8ceDSUFhYyMDevbHo9dgMBtrn5flUY5w4cYKYlEh0FsFg19Dn7t435NrcKMx4ejphmQrN\n9wp5O4TAJIVXX6v4x7l3/15Et7SQu1nIeE7wC7FfUdV0R9/upE9QhUaSB5jL9d4XL12MI9CGzqAl\np0kd/vzzz2s6t7/jp59+4ptvvqF1o0YEez1XiNBAp7vCadi6dSuRFgvtjUbGXkNM+scffyTaavU5\nThOn84Z573OffZa27v13sFpL9N4vXbrE/Pnzefrppz3LzJkzS20KW7BgAT3cbJGIcFwEq9H4j+UH\nvHHLuN9EbNu2jQULFrBhw4ZSb+7FixeZNH48eZmZ9OrUiZ9//vmGHX9wv35M8EqubhChtgjRRiNx\nQUEkR0QwferUEsc255lnSFYU3hHhWbfHdNlbOX78OPFhYXQ1m7lH1C5Efy/e7cLCQnredhsRikJV\nu52kSpV8kqQl4a+//vIIqZeEf/rlOHz4MDt37ixXyDqrcYaHOuCywlPHHm3L3OYyXC4XRouB9n8W\nbx/fy0jfvn09JYCHDh1Cq9OQcLee1Af0xHRTu3XLa1q6ePEiMcHBNKhZ84ZfuzfffBOjiKfC6IwI\nkUYj//3vf33Wq56YiNU961NErtoonz59GrvJxI/u4/wp16+nehmXvfYZ7vfiaRHCS/HerwYLFy6k\nu5dx/83LuP/TItm3jPtNwqwZM6ikKPRVFBKtVp9QQ0m4dOkSTz7xBLe3asWDw4Zdt7e1bds2AhQF\nm6hNSS+JEClCS1GrZz4X4WsRqisKc0rwWFwuFy8uWUK7Ro3o3q4dX3/9tc/vJ0+eZP78+cyaNYvd\nu3f7GJCFCxdSX1E8cfrHdbpyO2ov48yZM/Tu2pUIPz+qxcWVaRDOnj3LpEmTiAsJwWo00rZx4+uS\nY7uMcQ88gL/JRJrdTlRQUJnGpHmHJmQ8X2ycq07UcvegPhU6jsvlQnGYqTJVZb/M3SKEtxBqmUwE\n22xs2bKFU/+vvfOOiurs1viefsoUaUMbEaWIoiAKakRjRbFhid0osSV2otFYolFjwfLFaIxRo+ZT\nY+yf7cYSSGJyY/tQY429d4xUY8NhnvvHGcYZmcFBEbjk/NY6a4lzynvaPu+7372fnZmJuXPnYs6c\nOZblyy+/fGnSzLKlS9GY5xHM869Vf9QRA/r0QTmJBB0kElRUKjGsvxCG+ueff6J3p06oGxoKNQmJ\nSzC7BV0YptD+50ULFsCL49BNrUZFnseYIpL7vXPnDppHR6NxRIRlialX77VdPqmpqfB1dcUkmQz/\nIUJdjsPohAR8t2oV3o6KKtZOimjc3wAZGRnQKJW4bn6ws0jQBy8oy7NPt25ownH4nggDlEqE+Plh\n9syZr9yG8IAArCfCMSL0Nhv2wPLlEeTujhVWw9xdRGhSq9YrH8ceI4cNsxF1Ok+Eih4eL98QQNe2\nbdFDpcJVIuw0u3oOHz6Mffv24ciRIza9n+FDhoAnYRI2kwjDFArENmjwWm1PSkpCEM9b6mYuJ0KN\nwPwyBXkcPnwYWnceISNkCB4kh6uXziYPYP/+/Zg8aRK+/PLLfCGGjx49gr/eA00lhFESgouc4Kog\nZBBhIxFqBgW9eDinyMnJgb9ej99JKMz+JnrvgFCFacWKFdizZw9MJhMuXboED7UasyUSfERCPLi1\nS0UnleL27dswGo2FyqY9fvw4Vq1aVSTa8hcuXECjyEh46XRoUru20zkbheHKlSvo16MH4ho1wrzP\nP8eTJ09QUa+HXqm0jG6LA9G4vwEuXLgA/xd8hY10OoeiQllZWeAVCvxt5eMOl0ohk0jsVsxxBh3L\n2hT2HS2TYcaMGejavj2CicCTkNz0CRHiGjd+ndPNx7JlyxBt1XOfJpOhdcOGTm3LKZXItGp3L6US\nPjodamq1COB5tGrUCE+fPkVWVhbUKhV6W637hAhyqfS1hr9ffPEFhqpUln0+IoJCJitwm3PnzmHq\ntKlITEy0yahcu2YNvMyFmd9hGFQPCLCZmF2xYgWa87wlDPQIEbzM/75BBE+t1t7hLHy3ahVa1K2L\nuMaNbcJjl5lHTllESCOCP8u+kd77i0z97DMkyGSAuVPhZfY55+VbuHCcoLc0YgTqhoUVu6vt0aNH\nqOTlhS+kUtwgwudSKQK8vd+4dEBeveUNRKhdtWqxnbdo3N8AT58+RQW9Hv82G+ofSQgfdFQMO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sXLgQrgyDMURowXFY9PXXAATZWj+Oww3zC7hAIkGtypULfYzk5GRMnDABX331lVOCUJ+MHo3f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\nrp/JZMKjR49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+ "text": [ + "" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Build clussifier (Random forest)" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from sklearn.ensemble import RandomForestClassifier\n", + "rf = RandomForestClassifier(n_estimators=10)\n", + "rf.fit(x_train, y_train)\n", + "print 'Accuracy of Random Forest train set:', rf.score(x_train, y_train)\n", + "print 'Accuracy of Random Forest test set:', rf.score(x_test, y_test)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Accuracy of Random Forest train set: 0.98875\n", + "Accuracy of Random Forest test set: 0.88\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot RF" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "y_pred_test_RF = rf.predict(x_test)\n", + "plt.xlim(-1.2, 1.2)\n", + "plt.ylim(-1.2, 1.2)\n", + "plt.scatter(x_test[:, 0], x_test[:, 1], c=y_pred_test+RF, marker='^')\n", + "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 12, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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oT5C4hSJUFiE2MDDXeCwZwvqI5zeoqGls3LiRAb160ctu5w8RfhChhKqyceNG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\nW81qzbSR5X//+x/FVZVNInz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ps3vuExGq+Aw+RIg0mfj+++/zXGd8eDjr5aY7ZJym5ZiZ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\nJpMJjx49sln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+ "text": [ + "" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Predict color" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def predict_KNN(a,b):\n", + " if knn.predict([a, b]) == 0:\n", + " return 'blue'\n", + " else:\n", + " return 'red'" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def predict_RF(a,b):\n", + " if rf.predict([a, b]) == 0:\n", + " return 'blue'\n", + " else:\n", + " return 'red'" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "a = 0.99\n", + "b = -1\n", + "print 'Predict color KNN:', predict_KNN(a,b)\n", + "print 'Predict color RF:', predict_RF(a,b)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Predict color KNN: blue\n", + "Predict color RF: blue\n" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print 'Best model is:'\n", + "if rf.score(x_test, y_test) >= knn.score(x_test, y_test):\n", + " print 'Random forest'\n", + "else:\n", + " print 'K-Nearest Neighbors'" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Best model is:\n", + "K-Nearest Neighbors\n" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/sergeeva/classifier_KNN_and_RF.py b/sergeeva/classifier_KNN_and_RF.py new file mode 100644 index 0000000..bb3dca0 --- /dev/null +++ b/sergeeva/classifier_KNN_and_RF.py @@ -0,0 +1,81 @@ +import numpy as np +import matplotlib.pyplot as pl +from sklearn.utils import shuffle +from sklearn.neighbors import KNeighborsClassifier +from sklearn.ensemble import RandomForestClassifier + +#Import dataset +red = np.loadtxt("./red.txt") +blue = np.loadtxt("./blue.txt") + +#Plot data +pl.prism() +plt.xlim(-1.2, 1.2) +plt.ylim(-1.2, 1.2) +pl.scatter(red[:, 0], red[:, 1], c='red') +pl.scatter(blue[:, 0], blue[:, 1], c='blue') + +#Prepare data for analysis +reds = np.hstack ((red, [[1]] * len (red) )) +blues = np.hstack ((blue, [[0]] * len (blue) )) +dots = np.concatenate((reds, blues), axis=0) +x = dots[:, :-1] +y = dots[:, 2] + +#Train and test sets +x, y = shuffle(x, y, random_state=1) +size=dots.shape[0] * 0.8 +x_train = x[:size] +y_train = y[:size] +x_test = x[size:] +y_test = y[size:] + +#Build clussifier (KNN) +knn = KNeighborsClassifier(n_neighbors=5) +knn.fit(x_train, y_train) +print 'Accuracy of KNN train set:', knn.score(x_train, y_train) +print 'Accuracy of KNN test set:', knn.score(x_test, y_test) + +#Plot KNN +y_pred_test_KNN = knn.predict(x_test) +plt.xlim(-1.2, 1.2) +plt.ylim(-1.2, 1.2) +plt.scatter(x_test[:, 0], x_test[:, 1], c=y_pred_test_KNN, marker='^') +plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train) + +#Build clussifier (Random forest) +rf = RandomForestClassifier(n_estimators=10) +rf.fit(x_train, y_train) +print 'Accuracy of Random Forest train set:', rf.score(x_train, y_train) +print 'Accuracy of Random Forest test set:', rf.score(x_test, y_test) + +#Plot RF +y_pred_test_RF = rf.predict(x_test) +plt.xlim(-1.2, 1.2) +plt.ylim(-1.2, 1.2) +plt.scatter(x_test[:, 0], x_test[:, 1], c=y_pred_test+RF, marker='^') +plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train) + +#Predict color +def predict_KNN(a,b): + if knn.predict([a, b]) == 0: + return 'blue' + else: + return 'red' + +def predict_RF(a,b): + if rf.predict([a, b]) == 0: + return 'blue' + else: + return 'red' + +a = raw_input() +b = raw_input() +print 'Predict color KNN:', predict_KNN(a,b) +print 'Predict color RF:', predict_RF(a,b) + +print 'Best model is:' +if rf.score(x_test, y_test) >= knn.score(x_test, y_test): + print 'Random forest' +else: + print 'K-Nearest Neighbors' \ No newline at end of file diff --git a/sergeeva/gen_binary.py b/sergeeva/gen_binary.py new file mode 100644 index 0000000..ef0cac4 --- /dev/null +++ b/sergeeva/gen_binary.py @@ -0,0 +1,11 @@ +k = 3 +def gen_bin(a,p): + if p < k: + a[p] = 0 + gen_bin(a, p+1) + a[p] = 1 + gen_bin(a, p+1) + else: + print(a) + +gen_bin([0 for i in range (k)], 0) diff --git a/sergeeva/generators/allvectors.py b/sergeeva/generators/allvectors.py new file mode 100644 index 0000000..bc2ffe1 --- /dev/null +++ b/sergeeva/generators/allvectors.py @@ -0,0 +1,16 @@ +infile = open('allvectors.in', 'r') +outfile = open('allvectors.out', 'w') +n = int(infile.readline().strip()) + +a=[0]*n +def gen_bin(a,p): + if p < n: + a[p] = 0 + gen_bin(a, p+1) + a[p] = 1 + gen_bin(a, p+1) + else: + outfile.write(str(''.join([str(i) for i in a])) + '\n') +gen_bin(a,0) +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/generators/choose.py b/sergeeva/generators/choose.py new file mode 100644 index 0000000..1c18be8 --- /dev/null +++ b/sergeeva/generators/choose.py @@ -0,0 +1,20 @@ +infile = open('choose.in', 'r') +outfile = open('choose.out', 'w') + +n, k = [int(i) for i in infile.readline().split()] +seq=range(1,n+1) + +def choose(seq, k): + if k == 0: + yield [] + else: + for i, x in enumerate(seq): + for c in choose(seq[i+1:], k-1): + yield [x] +c + +for i in choose(seq, k): + outfile.write(str.join(' ', (str(j) for j in i)) + '\n') + +infile.close() +outfile.close() + diff --git a/sergeeva/generators/permutations1.py b/sergeeva/generators/permutations1.py new file mode 100644 index 0000000..aa9016f --- /dev/null +++ b/sergeeva/generators/permutations1.py @@ -0,0 +1,22 @@ +infile = open('permutations.in', 'r') +outfile = open('permutations.out', 'w') + +n = int(infile.readline().strip()) +seq=range(1,n+1) + +ans=[] + +def permutation(seq, i): + if i == len(seq)-1: + ans.append(str(''.join([str(i) for i in seq]))) + else: + for j in range(i, len(seq)): + seq[i], seq[j] = seq[j], seq[i] + permutation(seq, i+1) + seq[i], seq[j] = seq[j], seq[i] + +permutation(seq, 0) +for i in sorted(ans): + outfile.write(str(' '.join([str(j) for j in i])+'\n')) +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/generators/permutations2.py b/sergeeva/generators/permutations2.py new file mode 100644 index 0000000..f271144 --- /dev/null +++ b/sergeeva/generators/permutations2.py @@ -0,0 +1,20 @@ +#permutations code from class work + +infile = open('permutations.in', 'r') +outfile = open('permutations.out', 'w') + +n = int(infile.readline().strip()) +def gen_perm(a, p): + if p < n: + for i in range(1, n+1): + if i not in a: + a[p] = i + gen_perm(a, p+1) + a[p] = 0 + else: + outfile.write(str.join(' ', (str(i) for i in a))+'\n') + +gen_perm([0 for i in range (n)], 0) + +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/generators/vectors.py b/sergeeva/generators/vectors.py new file mode 100644 index 0000000..2ae5823 --- /dev/null +++ b/sergeeva/generators/vectors.py @@ -0,0 +1,29 @@ +import re +infile = open('vectors.in', 'r') +outfile = open('vectors.out', 'w') + +n = int(infile.readline().strip()) + +a = [0]*n +all_bin=[] +def gen_bin(a,p): + if p < n: + a[p] = 0 + gen_bin(a, p+1) + a[p] = 1 + gen_bin(a, p+1) + else: + all_bin.append(str(''.join([str(i) for i in a]))) + +gen_bin(a,0) + +ones=[] +for i in all_bin: + for match in re.findall('11', i): + ones.append(i) +ans=sorted(list(set(all_bin).difference(set(ones)))) + +outfile.write(str(len(ans))+'\n') +outfile.write(str('\n'.join([str(i) for i in ans]))) +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/graphs/comp.py b/sergeeva/graphs/comp.py new file mode 100644 index 0000000..8a1938e --- /dev/null +++ b/sergeeva/graphs/comp.py @@ -0,0 +1,41 @@ +from collections import deque + +infile = open('components.in', 'r') +outfile = open('components.out', 'w') + +n,e = [int(i) for i in infile.readline().split()] + +#edgelist +edges=[] +for i in range(e): + edges.append([int(j) for j in infile.readline().split()]) + +#neighbours +from collections import defaultdict +neighbours = defaultdict(lambda: defaultdict(lambda: 0)) +for v1, v2 in edges: + neighbours[v1][v2] += 1 + neighbours[v2][v1] += 1 + +def dfs(): + num_component ={} + comp = 0 + for i in range(1, n+1): + if i not in num_component: + comp += 1 + num_component[i] = comp + queue = deque([i]) + while len(queue) > 0: + for v in neighbours[queue[0]]: + if v not in num_component: + num_component[v] = comp + queue.append(v) + queue.popleft() + outfile.write(str(comp)+ '\n') + for i in num_component.values(): + outfile.write(str(i)+' ') +dfs() + + +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/graphs/pathbge1.py b/sergeeva/graphs/pathbge1.py new file mode 100644 index 0000000..3b1c42d --- /dev/null +++ b/sergeeva/graphs/pathbge1.py @@ -0,0 +1,44 @@ +infile = open('pathbge1.in', 'r') +outfile = open('pathbge1.out', 'w') + +n,e = [int(i) for i in infile.readline().split()] + +#edgelist +edges=[] +for i in range(e): + edges.append([int(j) for j in infile.readline().split()]) + +#linking edges +def link(u, v): + if u not in graph: + graph[u] = {} + (graph[u])[v] = 1 + if v not in graph: + graph[v] = {} + (graph[v])[u] = 1 + return graph + +graph = {} +for (x,y) in edges: + link(x,y) +dist = {} #distance + +def bfs (s, v): + q = [s] #queue + dist[s] = 0 + while len(q) > 0: + current = q.pop(0) + for i in graph[current].keys(): + if i not in dist: + dist[i] = dist[current] + 1 + if i == v: + return dist[v] + q.append(i) + return dist + +bfs(1,n+1) +for j in dist.values(): + outfile.write(str(j) + ' ') + +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/graphs/pathmgep.py b/sergeeva/graphs/pathmgep.py new file mode 100644 index 0000000..a82c1ae --- /dev/null +++ b/sergeeva/graphs/pathmgep.py @@ -0,0 +1,35 @@ +infile = open('pathmgep.in', 'r') +outfile = open('pathmgep.out', 'w') + +n, S, F = [int(i) for i in infile.readline().split()] + +dist = [] + +sum=0 +for line in infile.read().splitlines(): + values = [int(i) for i in line.split()] + dist.append(values) + for i in values: + if i>0: + sum+=i + +for i in range(n): + for j in range(n): + if dist[i][j] == -1: + dist[i][j] = sum +1 + +def floyd(dist): + for k in range(n): + for i in range(n): + for j in range(n): + dist[i][j] = min(dist[i][j], (dist[i][k] + dist[k][j])) + + +floyd(dist) + +if dist[S-1][F-1]>=sum: + dist[S-1][F-1]=-1 + +outfile.write(str(dist[S-1][F-1])) +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/graphs/pathsg.py b/sergeeva/graphs/pathsg.py new file mode 100644 index 0000000..f332252 --- /dev/null +++ b/sergeeva/graphs/pathsg.py @@ -0,0 +1,33 @@ +#floyd +infile = open('pathsg.in', 'r') +outfile = open('pathsg.out', 'w') + +n,e = [int(i) for i in infile.readline().split()] + +dist = [[float('inf') for i in range(n)] for j in range(n)] + +sum=0 +for i in range(e): + u, v, weight = [int(x) for x in infile.readline().split()] + dist[u-1][v-1] = weight + sum += weight + +for i in range(n): + for j in range(n): + if i == j: + dist[i][j] = 0 + elif dist[i][j] == float('inf'): + dist[i][j] = sum +1 + +def floyd(dist): + for k in range(n): + for i in range(n): + for j in range(n): + dist[i][j] = min(dist[i][j], (dist[i][k] + dist[k][j])) + +floyd(dist) + +for row in dist: + outfile.write(' '.join(str(i) for i in row) + '\n') +infile.close() +outfile.close() \ No newline at end of file diff --git a/sergeeva/minimum.py b/sergeeva/minimum.py new file mode 100644 index 0000000..93dcbbe --- /dev/null +++ b/sergeeva/minimum.py @@ -0,0 +1,6 @@ +a = [10,5,9,7] +m = a[0] +for i in a: + if i < m: + m = i +print(m)