{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "To view the description of this assignment see\n", "[http://www.cs.ubc.ca/~nando/540-2013/lectures/homework1.pdf](http://www.cs.ubc.ca/~nando/540-2013/lectures/homework1.pdf)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "file_path = 'datasets/prostate.data'\n", "X = loadtxt(file_path, skiprows=1)\n", "with open(file_path, 'r') as myfile:\n", " label_names = myfile.readline().split()\n", "y = X[:,-1]\n", "X = X[:,0:-1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "ytrain, ytest = y[0:50], y[50:]\n", "Xtrain, Xtest = X[0:50], X[50:]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "Xbar = mean(Xtrain, axis=0)\n", "Xstd = std(Xtrain, axis=0)\n", "ybar = mean(ytrain)\n", "ytrain = ytrain - ybar\n", "Xtrain = (Xtrain - Xbar) / Xstd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def ridge(X, y, d2):\n", " return dot(dot(inv(dot(X.T, X) + d2*eye(X.shape[1])), X.T), y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "d2range = logspace(-1.5, 3.5, num=20)\n", "thetas = array([ridge(Xtrain, ytrain, d2) for d2 in d2range])\n", "figure(figsize=(6,6))\n", "xscale('log')\n", "grid()\n", "xlabel(r'$\\delta^2$'); ylabel(r'$\\theta$')\n", "plot(d2range, thetas)\n", "legend(label_names)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAGJCAYAAABLpA6hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XdYFNf++PH3LkVFlKooRYmAFIO9V+JNLLn2gi3GrldT\nTDSxRE2MNxo1Gs3VxJjY87UmGklR48+ylkTFghXFgKIIQixUlbZ7fn+sbCSAIuyyhfN6nn12d2aY\nOZ+dnf0w58ycoxBCCCRJkiSpBJTGLoAkSZJkvmQSkSRJkkpMJhFJkiSpxGQSkSRJkkpMJhFJkiSp\nxGQSkSRJkkrMJJLInj17CAgIwM/PjwULFhSYr1KpcHBwoFGjRjRq1IhPPvnECKWUJEmS/sna2AVQ\nq9W8+eab7Nu3Dw8PD5o1a0aPHj0IDAzMt1yHDh346aefjFRKSZIkqTBGPxMJDw/H19cXb29vbGxs\nGDhwIGFhYQWWk/dESpIkmR6jJ5H4+Hi8vLx07z09PYmPj8+3jEKh4I8//qBBgwa8+uqrREZGlnUx\nJUmSpEIYvTpLoVA8c5nGjRsTFxeHnZ0du3fvplevXly9erUMSidJkiQ9jdGTiIeHB3Fxcbr3cXFx\neHp65lumSpUqutddu3ZlwoQJ3L9/H2dn5wLrSkhIMGyBJUmSLIiPjw/R0dEl/nujV2c1bdqUP//8\nk9jYWLKzs9m6dSs9evTIt0xSUpKuTSQ8PBwhRIEEApCQkIAQosSPjz76qNTLFTXvn9Of9r6w18Ut\nmzHie9a04sRqifE9bRlTju95v5tlGZ8xjj19xGfKvy0xMTGl+g03+pmItbU1y5cvp3PnzqjVakaN\nGkVgYCArV64EYNy4cfzwww+sWLECa2tr7Ozs2LJli0HKEhISUurlipr3z+lPe1/Y69jY2GKV7WkM\nFd+zphUnVkuM78np5hTf8343oeziM8axB6WPz5R/W0pLIYSwmMueFAoFFhROPsOHD2fdunXGLobB\nyPjMm4zPfJX2d9Po1VlS8QwfPtzYRTAoGZ95k/GVX/JMRJIkqRyTZyLlhEqlMnYRDErGZ970EZ+z\nszMKhUI+DPQo7GIkfTB6w7okSRJAcnKyrEkwoOLck1ei9crqLEmSTIE8fg2rqM9XVmdJkiRJRiOT\niJmQdermTcYnWSqZRCRJkp7C29ub/fv3l/l2Y2NjUSqVaDSaMt/285BJxEzo6+5SUyXjM2+WHF/e\n1U1S4WQSkSRJkkpMJhEzYel1zjI+82bp8QFoNBrmzZuHr68vVatWpWnTprqxjyZOnEitWrVwcHCg\nadOmHD16FNB2CmtnZ0dycrJuPREREVSrVg21Wo1Go+GTTz7B29sbNzc3hg0bRlpamlHiKymZRCRJ\nkp5BCMHixYvZsmULu3fvJi0tjbVr11KpUiUAmjdvzrlz50hOTmbw4MH079+f7Oxs3N3dadWqFdu3\nb9eta9OmTfTv3x8rKyvWrVvH+vXrUalUXLt2jYyMDN58801jhVkywoJYWDiSVK6Y6vHr7e0t9u3b\nJ/z9/cVPP/1UrL9xcnIS58+fF0IIsWrVKtGxY0chhBAajUZ4eXmJI0eOCCGE6Nixo1ixYoXu76Ki\nooSNjY1Qq9Xi+vXrQqFQCLVarZc4ivp8S/u5yzMRSZLMgkKhn0dJxcXF4ePjU+i8RYsWERQUhKOj\nI05OTqSmpnL37l0A+vTpw7Fjx0hMTOTw4cMolUratm0LwO3bt6ldu7ZuPbVq1SI3N5ekpKSSF7SM\nySRiJiy9zlnGZ97KIj4h9PMoKS8vr0JHADxy5AifffYZ33//PSkpKSQnJ+Pg4KC7C9zJyYlOnTqx\ndetWNm3axKBBg3R/6+7unm+skps3b2JtbY2bm1vJC1rGZBKRJEkqhtGjRzNr1iyio6MRQnD+/Hnu\n379PRkYG1tbWuLq6kp2dzZw5cwo0jg8ePJj169ezfft2Bg8erJs+aNAglixZQmxsLBkZGXzwwQcM\nHDgQpdJ8fprNp6TlnCVfhw8yPnNn6fEpFAomTZpEaGgonTp1wsHBgTFjxpCZmUnnzp3p0qULdevW\nxdvbm0qVKlGrVq18f9+jRw+io6OpWbMmwcHBuukjR45k6NChtG/fnjp16mBnZ8eyZcvybdfUyQ4Y\nJUkyCfL4NSzZAWM5J+vUzZuMT7JUMolIkiRJJSarsyRJMgny+DUsWZ0lSZIkmRyZRMyEpdc5y/jM\nm6XHJxVNJhFJkiSpxGSbiCRJJkEev4Yl20QkSZIkkyOTiJmw9DpnGZ95s+T49Dk87pEjRwgICCjW\nsiqVCi8vL71s15BkEpEkSXoKfQ6P265dO65cuaKXdQ0fPpxZs2bpZV2lIZOImbD0volkfObN0uOT\niiaTiCRJ0jM8evQIOzs77t+/D8DcuXOxsbEhIyMDgFmzZvHuu+8CkJWVxXvvvUft2rWpUaMG48eP\nJzMzEyhYRXXmzBkaNWpE1apVCQ0NZcCAAQXOLj7//HPc3Nxwd3dn3bp1AHzzzTds2rSJhQsXUqVK\nFXr27Gnoj6BI1kbbshm7fx9cXcHKCqyt8z8Km/bP6TY2UKEC2Npqn4t6PDn/xg0VwcEhVK4M9vZQ\npUrB58qVtdsxRyqVyqL/m5XxmbeKFSvSrFkzVCoVffr04dChQ3h7e3P06FG6dOnCoUOHmDx5MgDT\npk3j+vXrnDt3DmtrawYPHsycOXOYN29evnVmZ2fTu3dv3nvvPSZMmMBPP/3EwIEDmTp1qm6ZxMRE\n0tLSSEhIYO/evfTr14/evXszduxYjh07hpeXF3PmzCnTz+KfZBIpAWdnyM3VPtTqv18X9312NmRl\n5X8UNi0rC1JTtc+xsZCRAQ8eaJ/T0/9+znv94AFUqvR3UnkywVSpAtWrax9ubn8/8t5XrmzsT1WS\nTFuHDh04dOgQPXv25MKFC3zwwQccOnSIkJAQTp06Rfv27RFC8O2333L+/HkcHR0BmD59OkOGDCmQ\nRI4fP45areatt94CoHfv3jRv3jzfMjY2Nnz44YcolUq6du2Kvb09UVFRuuVM4ZJomURKSKnUnimU\nnZBnLqHRwMOH+RNM3nNaGvz1FyQlQXi49jkp6e9pVlYFE0vew9MTAgLAx0d7JmWQ6Cz4v1iQ8emD\n4mP9NG6Lj57/h1ehUNChQwcmTZrEmTNnCA4O5uWXX2bUqFGcOHECX19fnJyc+Ouvv3j48CFNmjT5\ne3tCoNFoCqwzISEBDw+PfNP+eTWWi4tLvgGq7OzsdFVopkImEQuiVGrPPOztn+/vhNAmmieTSt7r\nS5dg1y64cgUSEqBOHW1CCQzUPgICtA95JiMZWkl+/PWpdevWREVF8eOPPxISEkJgYCA3b95k165d\nuiTq6upKpUqViIyMpGbNmk9dX82aNYmPj8837ebNm/j6+harPKYyYJVsWDcThrwOX6GAqlXBzw/a\ntIE+fWD8ePjoI/jqK/j1V4iJ0bYFbd4MoaHaM5Kff4aRI6FaNahdG7p0gXfegZUr4fBhuHPHNOIz\nBTI+81epUiUaN27Ml19+SYcOHQBtYvn6669175VKJWPGjOGdd97hzuMDID4+nr179xZYX6tWrbCy\nsmL58uXk5uYSFhbGyZMni10eNzc3rl27pofISkcmEanYKlWC+vVhwACYPRu2bIFz57RnMQcOwFtv\naau+wsNh+nSoWxd8feHNN+GXX7RVa5JkzkJCQsjNzdW1SXTo0IGMjAzat2+vW2bBggX4+vrSsmVL\nHBwceOWVV7h69apuft4ZhK2tLTt27GD16tU4OTmxceNGunXrhu0T9eRPO9sYNWoUkZGRODk50adP\nH32HWmyy7yzJYISACxdgzx7t4+RJaN5ce8bSuTMEB2vPgiQJ5PEL0KJFCyZMmMCwYcP0vm5D9Z0l\nk4hUZjIy4ODBv5NKZqY2mXTuDK+8or3qTSq/yuPxe/jwYerWrYurqysbN25kwoQJXLt2DTc3N71v\nS3bAWM5ZQp2zvT107w5ffqltYzl0CBo3hv/7P/D0VNGypbaa7Phx7aXQlsQS9t/TWHp8hhIVFUXD\nhg1xcnJiyZIl/PDDDwZJIIZkEklkz549BAQE4Ofnx4IFC4pc7uTJk1hbW7Njx44yLJ1kKHntJT//\nDDt3wty52ntdxo6FGjW0Dfv37hm7lJJkOGPGjCExMZH09HTOnj1L165djV2k52b06iy1Wo2/vz/7\n9u3Dw8ODZs2asXnzZgIDAwss98orr2BnZ8eIESPo27dvgXWVx9NhS3X1KixcCDt2aK8AmzQJ3N2N\nXSrJkOTxa1gWW50VHh6Or68v3t7e2NjYMHDgQMLCwgost2zZMvr160e1atWMUEqprNWtC6tWaa/+\nys2FF1+E//wHTOCKRkmSnmD0JBIfH5/vLk1PT88CN+DEx8cTFhbG+PHjAdO5yaYsWXqdc1HxeXnB\n0qXamx1dXKBZMxg6VHsTpDkpr/tPsnxGTyLFSQjvvPMO8+fP1512yVPe8qd6dW2bybVrEBQEHTtC\n797ay4YlSTIeo3d74uHhQVxcnO59XFwcnp6e+ZY5ffo0AwcOBODu3bvs3r0bGxsbevToUWB9w4cP\nx9vbGwBHR0caNmyo65Ig778lc3wfEhJiUuUxZnzTp4cwcSJMnari1VehUaMQPvgAhFChUJhGPKWJ\nzxzf6yM+yfDyPnOVSkVsbKxe1mn0hvXc3Fz8/f3Zv38/7u7uNG/evNCG9TwjRoyge/fuhd6hKRvm\nyp/sbPjuO5g/X9v9ygcfwL//LW9iNEfy+DUsi21Yt7a2Zvny5XTu3JmgoCAGDBhAYGAgK1euZOXK\nlcYunsmw9DrnksZnawujRmnbTCZOhBkztP1/3byp3/KVltx/kqUyenUWQNeuXQtcHz1u3LhCl127\ndm1ZFEkyM1ZW2j69QkNh0SJt9yobNkCnTsYumSRZNqOfiUjFY+n1xvqKT6GA99/Xdg45fDj897/a\ncVaMTe4/8zZ//nx8fX2pWrUq9erVY+fOnYD2/rXJkydTrVo16tSpw/Lly1EqlbrxQ1JTUxk1ahTu\n7u54enoya9asQscWMWcyiUgWKSQETp2CvXuhWzdtN/aSVFK+vr4cPXqUtLQ0PvroI1577TUSExP5\n9ttv2bNnD+fOnePMmTPs3Lkz3xWnw4cPx9bWlpiYGCIiIti7dy+rVq0yYiQGICyIhYWTz8GDB41d\nBIMyVHzZ2UJMmiSEt7cQp04ZZBPFIvffs5nT8duwYUMRFhYmOnbsKL755hvd9H379gmFQiHUarVI\nTEwUFSpUEI8ePdLN37Rpk3jppZeMUeQiP9/Sfu4m0SYiSYZiYwOLF0OrVtou6OfNg9Gj5dVbZklf\nO60EVyJt2LCBJUuW6C6LzcjI4O7duyQkJBS4WTrPjRs3yMnJyTfCoUajoVatWiUvuwmSScRMWHqd\ns6Hj69dPO35J377wxx/anoTt7Ay6yXzk/tMDI13+e+PGDcaOHcuBAwdo1aoVCoWCRo0aIYSgZs2a\nBe5zy+Pl5UWFChW4d+9evnHSLY3lRiZJ/+DvDydOaO8tad0aoqONXSLJHDx48ACFQoGrqysajYa1\na9dy8eJFAEJDQ/niiy9ISEggJSWFBQsW6NpEatasSadOnZg0aRLp6eloNBpiYmI4fPiwMcPRO5lE\nzISlX4dfVvFVrqwdv2TsWG0iKaSvT4OQ+898BQUFMXnyZFq1akWNGjW4ePEibdu2RaFQMGbMGDp1\n6kT9+vVp0qQJ//73v7GystKdeWzYsIHs7GyCgoJwdnamf//+JCYmGjki/TL6Hev6ZMl3vKpUKouu\nEjFGfCdOaO8rGTxYeymwtQErd+X+ezZLOH53797N+PHj9daliD7J4XGLwRK+hFLZunMHhgzRdje/\neTOY2aByFsUcj9/MzEwOHDhAp06dSEpKom/fvrRu3ZrPP//c2EUrwGK7PZEkY6pWDXbvhrZtoWlT\nOHPG2CWSzIkQgtmzZ+Ps7Ezjxo2pV68ec+bMMXaxypRMImbCkuucwbjxWVnBnDmwZIn2xkRD1ETI\n/WeZKlWqRHh4OGlpaSQlJbF69Wrs7e2NXawyJS/xlaTH+vWDhAR49VXtZcCOjsYukSSZPtkmIkn/\nMHEiXLgAe/ZoewmWyoY8fg1LNqwXg/wSSvqgVkOfPuDkBGvXyrvby4o8fg1LNqyXc5Ze52xK8VlZ\nwaZN2nHc//tf/azTlOIzBEuPTyqabBORpEJUrgw//wwtW0KdOvDaa8YukSSZJlmdJUlPcekSvPQS\nbNum7V5eMhxTPX69vb1ZvXo1R44cISYmhu++++6516FSqRg6dGi+vrXKmqzOkiQjqFdPexPigAFw\n+bKxSyMZQ15fWArZOFYomUTMhKXXOZtyfP/6FyxYAP/+NyQllWwdphyfPlh6fFLRZBKRpGIYPlzb\nLtKjBzx8aOzSSMaSmZnJwIEDqVq1Kk2aNOH8+fO6ed7e3syfP5969erh7OzMyJEjycrKyvf3n3/+\nOW5ubri7u7Nu3boyLr1hyCRiJiy58z4wj/g+/hj8/LTJRK1+vr81h/hKw9LjA20XJ2FhYYSGhpKc\nnMzgwYPp1asX6ie+DJs2bWLv3r3ExMRw9epVPvnkE928xMRE0tLSSEhIYPXq1bzxxhukpqYaIxS9\nkklEkopJoYDVq+HePZgyxdilkYyhadOm9OnTBysrKyZNmkRmZibHjx8HtG0mb775Jh4eHjg5OTFj\nxgw2b96s+1sbGxs+/PBDrKys6Nq1K/b29kRFRRkrFL2Rl/iaCdmVuGmoUAF+/FE7FkmdOvDGG8X7\nO3OJr6TKIj6FntpdRAnLqVAo8g1/m/c+ISFBN+3JoXJr1aqVb56Li0u+EQ7t7OzIyMgoUVlMiUwi\nkvScnJ1h1y5o0wZq19Z22igZXkl//PW2fSHyXaKr0Wi4desW7u7uumk3b97M9/rJeZZKVmeZCUv+\nLxbML746dbRnJCNGFK/7eHOL73lZenx5Tp8+zY8//khubi5Lly6lYsWKtGzZEtAmma+++or4+Hju\n37/P3LlzGThwoJFLbHgyiUhSCbVsCV9/rb1iy4j3kEllQKFQoFAo6NWrF1u3bsXZ2ZmNGzeyY8cO\nrKysdMsMHjyYTp064ePjg5+fHzNnzsy3Dksk71g3E7JO3XQtWgTr18Px49ruUgpjzvEVhxweF154\n4QVWr15Nx44djV2UQsk71iXJRE2eDC++CB9+aOySSFLZk2cikqQHd+5AcDD89BM0b27s0pgncz9+\ny+uZiEwikqQnmzfDvHlw+rQczKok5PFrWLI6q5yz9L6JLCG+gQPB2xvmzy84zxLiexpLj08qmkwi\nkqQnCgWsWAHLlmm7kJek8kBWZ0mSnn39NaxbB7//rh0lUSoeefwalqzOkiQzMXastnuUZcuMXRJJ\nMjyZRMyEpdc5W1J8SiV8+y188glcu6adZknxFcbS45OKJpOIJBlA3brann7HjQNZQ1P+bNy4kc6d\nOxu7GGVCtolIkoHk5kKLFvDmm9o+tqSnk8evYcn7RIpBfgklU3PuHLzyiva5Zk1jl8a0yePXsGTD\nejln6XXOlhpfgwbahvYBA1TGLopBWer+y7NgwQI8PT2pWrUqAQEBbNq0CTs7O5KTk3XLREREUK1a\nNdRqNevWraNdu3ZGLHHZMYkksmfPHgICAvDz82PBggUF5oeFhdGgQQMaNWpEkyZNOHDggBFKKUkl\nM3MmxMbC9u3GLolUElFRUXz55ZecOnWKtLQ09u7dS8uWLWnVqhXbn9ipmzZton///rpefcsNYWS5\nubnCx8dHXL9+XWRnZ4sGDRqIyMjIfMtkZGToXp8/f174+PgUui4TCEeSCnX0qBA1awpx756xS2K6\nTPX4/fPPP0X16tXFvn37RHZ2tm76qlWrRMeOHYUQQmg0GuHl5SWOHDkihBBi7dq1om3btkYpb1GK\n+nxL+7kbfWTD8PBwfH198fb2BmDgwIGEhYURGBioW6byE/1rZ2Rk4OrqWtbFlKRSadMG+vbV9vi7\ndq2xS2OeVAqVXtYTIkKea3lfX1+WLl3K7NmzuXTpEp07d+bzzz+nT58+vPXWWyQmJhIVFYVSqaRt\n27Z6KaM5MXoSiY+PzzcusaenJydOnCiw3M6dO5k+fTq3b99m7969ZVlEkyDHozBvKpWKefNCCA6G\nvXuhUydjl0i/ymL/Pe+Pvz4NGjSIQYMGkZ6ezrhx45g6dSobNmygU6dObN26lcjISAYNGmS08hmT\n0dtEijvaV69evbh8+TI///wzQ4cONXCpJEn/qlTRdokybhxkZBi7NFJxXb16lQMHDpCVlUWFChWo\nWLGirt1j8ODBrF+/nu3btzN48GAjl9Q4jH4m4uHhQdwTY4vGxcXh6elZ5PLt2rUjNzeXe/fu4eLi\nUmD+8OHDdVVjjo6ONGzYUPcfUt4VJOb4PiQkxKTKI+MrWXwVK0L79iHMnAm9eplO+fQVX2nWZ6qy\nsrKYPn06ly9fxsbGhjZt2vDNN98A0KNHD0aPHk3t2rUJDg7W/U3ecLqmJu8zV6lUxMbG6mWdRr9P\nJDc3F39/f/bv34+7uzvNmzdn8+bN+dpEYmJiqFOnDgqFgjNnztC/f39iYmIKrEteZy6Zg3v3tCMh\n7tgBrVoZuzSmQx6/hmWx94lYW1uzfPlyOnfuTFBQEAMGDCAwMJCVK1eycuVKALZv305wcDCNGjVi\n4sSJbNmyxcilLnuWfh1+eYrPxQX+9z8YNQqysoxXJn2y9P0nFc3oZyL6ZMn/yZRFw6Uxlbf4hIDe\nvaF+fZgzx3jl0hd97D9LPn5Ngez2pBjkl1AyJwkJ2jva9+/XJpPyTh6/hmWx1VmSVF65u8Onn2q7\nRdFojF0aSSoZmUTMhKXXOZfX+EaO1Pb2u21b2ZZH3yx9/0lFk0lEkoxIqYRFi2D6dMjMNHZpJOn5\nyTYRSTIBPXtC27bw/vvGLonxyOPXsGTDejHIL6FkrqKitEnk8mUor13DyePXsGTDejln6XXO5T0+\nf38YMMB8L/e15P3n7e3N/v37jV0MkyWTiCSZiI8+gk2b4OpVY5dEepKpdmFiKmR1liSZkAUL4MQJ\nbZco5Y2pHr8vvPACq1evpmPHjsYuSqnI6ixJKgcmToQzZ+DwYWOXRPonjUbDvHnz8PX1pWrVqjRt\n2pT4+HgAlEoly5Ytw8fHh2rVqjFlyhSTTIiGIJOImbDkOmeQ8eWpWBHmzYP33jOvGxAtff8JIVi8\neDFbtmxh9+7dpKWlsWbNGipVqqRbZufOnZw+fZozZ84QFhbGmjVrjFjisiOTiCSZmIEDtX1rbd1q\n7JJIT1q9ejVz587Fz88PgPr16+Ps7KybP3XqVBwdHfHy8uKdd95h8+bNxipqmTL6eCJS8Vhy54Qg\n43uSUgmLF8Prr2s7aaxY0XDl0pey2H8qlX4at0NCSlbNFBcXh4+PT5HznxyhtVatWiQkJJRoO+ZG\nJhFJMkHt20OjRtou46dMMXZpTENJf/z1xcvLi+joaIKCggqdf/PmTd04SDdv3sTDw6Msi2c0sjrL\nTFh6nbOMr6AFC2DhQrh7V//l0TdL338Ao0ePZtasWURHRyOE4Pz589y/f183f9GiRaSkpBAXF8f/\n/vc/BgwYYMTSlh15JiJJJqpuXRg0CD7+GJYtM3ZpyjeFQsGkSZPIysqiU6dO3L17l8DAQH788Ufd\nMj179qRJkyakpqYyYsQIRo4cacQSlx15n4gkmbC7dyEgAH7/XXtXuyUz5+NXqVQSHR1NnTp1jF2U\nIsn7RCSpHHJ11baJTJ1q7JJIUuFkEjETll7nLOMr2ttvw9mzcOiQ/sqjb5a+/56lPHeLIpOIJJm4\nihW1IyCa2w2I5YlarTbpqixDkm0ikmQGNBpo2VLbLcqQIcYujWHI49ew5HgixSC/hJIlO3IEXnsN\nrlyBJ3rbsBjy+DUs2bBezll6nbOM79natYMmTbQ3IJoaS99/UtFkEpEkMzJ/Pnz2Gdy5Y+ySSJKW\nrM6SJDMzcSKo1bB8ubFLol/y+DUsWZ0lSRIAs2Zpe/iNijJ2SSSVSpWv48XySCYRM2Hpdc4yvuLL\nuwHRlDpmtPT9JxVNJhFJMkNvvQXnz4P87ZaMTSYRMyHH2zBv+o4vbwTE9983jRsQLX3/nTlzhkaN\nGlG1alVCQ0MZMGAAs2bNKnCnekJCAn379qV69erUqVOHZU/0nBkeHk6rVq1wcnLC3d2dt956i5yc\nHN38d999Fzc3NxwcHKhfvz6XLl0CIDU1lddff53q1avj7e3N3LlzdW0Y69ato23btrz//vs4OztT\np04d9uzZUwafyN9kEpEkM5XX07gcAdGwsrOz6d27NyNHjiQ5OZlBgwaxc+fOAglEo9HQvXt3GjVq\nREJCAvv372fp0qXs3bsXAGtra7744gvu3bvHsWPH2L9/P1999RUAv/32G0eOHOHPP/8kNTWV77//\nHhcXFwDeeust0tPTuX79OocOHWLDhg2sXbtWt93w8HACAgK4d+8eU6ZMYdSoUWX0yTwmLIiFhZPP\nwYMHjV0Eg5LxlYxKJYS3txCZmQZZfbHpIz5TPX4PHTokPDw88k1r27atmDVrllCpVMLT01MIIcTx\n48dFrVq18i03b948MWLEiELXu2TJEtG7d28hhBD79+8XdevWFcePHxdqtVq3TG5urrC1tRWXL1/W\nTVu5cqUICQkRQgixdu1a4evrq5v34MEDoVAoRFJSUoHtFfX5lvZzl2cikmTGOnSA4GDLu9y3MAqF\nQi+P55WQkFBglEIvL68Cl8XeuHGDhIQEnJycdI9PP/2Uv/76C4CrV6/SrVs3atasiYODAzNmzODe\nvXsAdOzYkTfffJM33ngDNzc3xo0bR3p6Onfv3iUnJ4fatWvrtlOrVi3i4+N172vUqKF7bWdnB0BG\nRsZzx1lSMomYCUuvc5bxldyCBdqbEJ8YZK/MlcX+E0Lo5fG8atasme9HG7TD3/4zIXl5efHCCy+Q\nnJyse6SlpfHLL78AMH78eIKCgoiOjiY1NZW5c+eieaJB66233uLUqVNERkZy9epVPvvsM6pVq4aN\njQ2xsbHW8AepAAAgAElEQVT5tu3p6fnccRiKTCKSZOYCA6FvX5g719glsUytW7fGysqK5cuXk5ub\nS1hYGCdPngTIl5SaN29OlSpVWLhwIY8ePUKtVnPx4kVOnToFaM8OqlSpgp2dHVeuXGHFihW6RHTq\n1ClOnDhBTk4OdnZ2VKxYESsrK5RKJaGhocyYMYOMjAxu3LjBkiVLeO2118r+gyiCTCIloFaruXHj\nBnFxcSQkJJCUlMSdO3e4f/8+KSkppKen8/DhQzIzM8nJyUGj0ZT6TlxLvw5fxlc6s2fDunVw/bpB\nN1MkS95/NjY27Nixg9WrV+Pk5MTGjRvp1q0btra2+arIrKys+OWXXzh79ix16tShWrVqjB07lrS0\nNEA7BvumTZuoWrUqY8eOZeDAgbptpKWlMXbsWJydnfH29sbV1ZX3338fgGXLllG5cmXq1KlDu3bt\nGDJkCCNGjAAotIqurMc2kd2elEBycjINGzZErVajVqvRaDQFXv9zmhACpVKJlZUVVlZW2NjYYG1t\njY2NTYHXhc1LT0/Hzc2NChUqUKlSJSpWrJjvubBpT86rVKkSDg4OukfFihUN/jk9D5VKZdFVWmUR\n35w5cPkybN5s0M0USh/xmVO3Jy1atGDChAkMGzbM2EUpNtkVfDGY8pdQCKFLKLm5ueTm5pKTk6N7\nPPm+qNc5OTlkZWXx6NEjMjMzC30uatrDhw9JS0sjNTWVlJQUlEolDg4OODo6Fvr85GsXFxc8PT3x\n8PDAxcWlXI/iZsoyMqBuXQgLg2bNjF2a52fKx+/hw4epW7curq6ubNy4kQkTJnDt2jXc3NyMXbRi\nM1QSsS5NocqrXI2GqEePUKCtD1QoFNpnQKlQ5H9+PD/fstbWWNnYYG1nhy1g9fjvrRQKrB4va8gf\naiEEmZmZpKSkkJqaqkssTz6npqYSFRVFamoqd+/eJT4+nlu3bvHw4UM8PDzw8PDQJZYnX3t6elKj\nRg1sbGwMVn6pcPb28PHH2hsQDx4Emev1JyoqitDQUB48eICPjw8//PCDWSUQQ5JnIiWQkpND64gI\nBKARAgH5Xuue0f5gax7Pz3utEQJ13vPjaeonXgvQJZW8Z3H2LLaNGmGtUGCjVGKjUPz9UCq10/8x\nzUah0E23VSqpqFRS6Yln3Wsrq/zvH0/Le13ZygpHa2scrKzIzswkPj5e97h161aB13/99Zfu7KVu\n3bo0bNiQBg0a0KBBgyIPPFmdpR+5udCggfZqre7dDb45nfJWnWWOLPpMZM+ePbzzzjuo1WpGjx7N\n1KlT883fuHEjCxcuRAhBlSpVWLFiBfXr1zdSacHRxobI5s0Ntn5RSHI5lJND65YtyRWCnLyHRqN7\nnVvINN10jYZsIcjUaHik0Wif1WoeaTQk5+by6PH0R2q1bplHTyyboVaTmptLam4ulZRKbUKxs8Mx\nMBDH4GAcrK1xs7bG39oaB2trqgCK5GSykpJIvXaNmMhIdu3axblz57C1tc2XVBo0aIC/v7/BPsvy\nxtoaFi7Ujsfetav2vSQZktHPRNRqNf7+/uzbtw8PDw+aNWvG5s2bCQwM1C1z7NgxgoKCcHBwYM+e\nPcyePZvjx48XWJf8T8awhBBkqNWk5OaS8jip6F4XMj05N5ek7GxuZWXxUK2mpq0t1VNSqHjtGpqY\nGNKvXuWvy5e5f/s2dQMCaNKwIY2eSDCOjo7GDtksCQH/+pe2W5Rx44xdmuKTx69hWWzD+rFjx/j4\n4491nYbNnz8fgGnTphW6fHJyMsHBwdy6davAPPklNF0P1Wris7K4lZWle8573ExJ4cbly6RcuUKl\n69dRxMSQGRNDzcBAXnr1VYb27k3HBg1QKuUV6cV1+rS2OisqCqpUMXZpikcev4ZlsdVZ8fHx+QZ1\n8fT05MSJE0Uuv3r1al599dWyKJpJMfc2AzsrK/zs7PB73C3DP6nUatqMHs3tx2cu0amp7DpwANWe\nPfxfly5ga4t7SAjNu3Sha/v2NHF0JKhyZSqYSWIp6/3XpAl07AiLFmkb2w3N3L+fUskZPYk8z1VI\nBw8eZM2aNfz+++8GLJFkLDZKJbUqVqRWxYq0dnDg9eHDYfhwhBAcOHmS9Tt2cGD+fH554w0qtWrF\nw1at8GvfniZubjS0t6eBvT0NKlfG1dbW2KGYhLlzoXFjbZWWu7uxSyNZKqMnEQ8PD+Li4nTv4+Li\nCu0X5vz584wZM4Y9e/bg5ORU5PqGDx+Ot7c3AI6OjjRs2FD3H1LeXbXm+D4kJMSkylPW8f2reXOs\nHj5kZJcu+Pj48Msvv7Bm7Vouzp+PskULbnbowLeVKnGzUiVqNG9OdxcXal+5QnDlyrzcsaPJx2eI\n99evq3jlFfjooxC+/db045MML+8zV6lU+frjKpVS9QGsBzk5OaJOnTri+vXrIisrSzRo0EBERkbm\nW+bGjRvCx8dHHDt27KnrMoFwpDKWlpYmfvjhB/H6668LFxcX0ahRI/H2Rx+JD86eFc1OnRJOR46I\nwZcuia1JSSI1J8fYxS1z9+8LUa2aEBcvGrskz1Zej1+VSiUUCoWYOXOmbtrBgweFQqEQ9vb2useG\nDRtKtZ2iPt/Sfu5Gr1C2trZm+fLldO7cmaCgIAYMGEBgYCArV65k5cqVAMyZM4fk5GTGjx9Po0aN\naG7Ay2tNVd5/EJaqpPFVqVKFvn37sn79ehITE/niiy9IjY1lxUsv0WHLFv6fhwftHR1Zn5iI57Fj\ndDp3ji/j47mZmanfAJ7BWPvPyQmmT4d/XDWvd5b+/TSUnJwcJk6cSMuWLQtU7Xt4eJCenq57DB06\n1EilfDqjJxGArl27EhUVRXR0NNOnTwdg3LhxjHt8feKqVau4d+8eERERREREEB4ebsziSibK2tqa\ndu3asW7dOs6ePUt2djavNGnC6dmz+cLOjoRWrfiPuzsn09Jocvo0jU+dYvb165xJT7foq4ImTIDI\nSO1d7NLz8/b2Zv78+dSrVw9nZ2dGjhxJVlYWAAsXLsTd3R1PT09WrVqFUqnk2rVrANy7d4/u3bvj\n4OBA8+bNmTlzJu3atcu37sWLF9OlSxf8/f3N9ztYqvMYE2Nh4Uh6cOfOHTFr1izh6uoqQkNDxZkz\nZ4QQQuSo1eJwcrJ4Lzpa+B0/Ljz/+ENMiIoSJ1JTjVxiw9iyRYjGjYV4YtA8k2Oqx2/t2rVFcHCw\nuHXrlrh//75o06aNmDlzpti9e7eoUaOGiIyMFA8fPhRDhgwRCoVCxMTECCGEGDBggBg0aJB49OiR\niIyMFF5eXqJdu3a69cbGxoq6deuKjIwMMWzYsALVWba2tsLNzU288MIL4t133xUPHjwoVRxFfb6l\n/dxNc6+VkKl+CSXjS0tLE4sWLRLu7u6ic+fOQqVSCY1GI4QQQqPRiMsZGeLT2FhR648/xEsREeK3\ne/d08y2BRiNE8+ZC/N//GbskRTPV49fb21usXLlS937Xrl3Cx8dHjBw5UnzwwQe66dHR0bokkpub\nK2xsbMTVq1d182fOnCnatm2re9+jRw+xbds2IYQQw4cPF7NmzdLNS0xM1A2Je/36ddG+fXsxbty4\nUsVhqCRiEtVZ0rNZep2zoeOrUqUKkydP5tq1a/Tr148xY8bQunVrfvrpJ4QQBFSuzLTatYlu0YIR\nNWowKTqaJqdPs/Wvv1DroZrB2PtPodDeMzJjBhiiOags4lMo9PMoiSfvZatVqxYJCQkkJCTku5L0\nydd37twhNze3wD1weX7++WcyMjLo378/8PeojXnc3NwICAgAtNVpCxcuZPv27SUrvIHJJCKVKxUq\nVGD06NFcvnyZSZMmMXv2bOrXr893331HTk4ONkolQ2vU4HyzZszx9uZ/t27hf+IEKxMSyFSrjV38\nUmnXDho2hGXLjF2SkhFCP4+SuHnzZr7X7u7u1KxZM1/PGU/eqlCtWjWsra0L3L6Q58CBA5w6dYqa\nNWtSs2ZNtm3bxtKlS+ndu3eRZXhyKF2TUqrzGBNjYeFIZUCj0YjffvtNhISEiNq1a4uNGzcWqMY6\nkpws/n3unKjx++9i/o0bIsWMLxW+ckUIV1ch7t41dkkKMtXjt3bt2qJ+/fri1q1b4t69e6JNmzZi\nxowZYvfu3aJmzZri8uXL4sGDB+L1118v0CYyePBg8fDhQ3H58mVRq1YtXZtIenq6SEpKEklJSSIx\nMVEMGDBATJo0SSQnJwshtG0isbGxQqPRiJs3b4oOHTqIkSNHliqOoj7f0n7u8kxEKtcUCgWdOnXi\n4MGDbNy4kfnz59OzZ0/i4+N1y7R1dOSX+vXZW78+Fx88oM7x40yLieH24yt0zIm/P/TvL8djfx4K\nhYLBgwfTqVMnfHx88PPzY+bMmXTp0oW3336bl156ibp169KqVStAe7YLsHz5clJTU6lRowbDhg1j\n0KBB2Npqe1Owt7enevXqVK9eHTc3NypVqkTlypV1nY5GRETQpk0b7O3tadOmDQ0bNuR///ufcT6A\nZylVCjIxFhZOPgcPHjR2EQzKVOLLysoSH330kahWrZpYvXp1oY3r1x8+FG9evSqcjhwRY69cEX8W\n46oZU4lPCCESE4VwcRHiiTbfUtNHfKZ6/Hp7e4v9+/c/c7nIyEhhZWUl1EVcAjdlyhQxfPhwfRev\n2Ir6fEv7ucszEUl6gq2tLbNnz2bfvn18+eWXdO7cmRs3buRbxrtSJZb5+RHVvDlutra0iohgwKVL\n3CjjGxhLys1NewPiG2+UvI1A0vrxxx/JysoiOTmZqVOn0qNHD11v01FRUZw/fx4hBOHh4axZs+ap\nbR5mq1QpyMRYWDiSkeXk5IhPP/1UuLq6ii+//LLI/zDTcnLEf69fF65Hj4r/xcWJXDO4NDg7W4j6\n9YXYvNnYJfmbqR6/TzsT6dKli3BwcBDOzs6iT58+IjExUTfv5MmTwtfXV9jZ2YkXXnhBzJ8/v6yK\nXKiiPt/Sfu5GH09En+R4BJIhXL58mZEjR1KhQgVWrVqFr69voctFPXzI6Kgo1EKwyt+foMqVy7ik\nz+fYMejXT3s3u4ODsUsjj19DM9R4IrI6y0wY+z4DQzPl+AIDAzl69Ci9evWiZcuWLFmyBHUhl/v6\n29lxqGFDhrq50eHsWf4bG0v248syTTG+Vq2gWzeYObP06zLF+KSyIZOIJBWDlZUV77zzDsePHycs\nLIy2bdty+fLlAsspFQrGe3hwpkkTTqSl0fT0aU6mpRmhxMXz6afwww9w6pSxSyKZK1mdJUnPSaPR\nsHLlSj788EMmTZrE+++/j7V1waF5hBBs/usvJkVH85qbG3NeeAE7KysjlPjpvvsOli6F8HAwZvHk\n8WtYsjpLkkyEUqlk/PjxnDp1CpVKRYsWLTh37lyB5RQKBYPd3LjQrBm3s7MJPnmSA8nJRijx0732\nGlStCl99ZeySSOZInomUQFZuFjuv7NRtU4Ei3+u8cQHyXhc2/5/PSoUy3zSlQplv/rnj52jcqjFK\nhVL3sFJa5X+vsCpyvpXCCmuldaGP5xmi2FBUZjpGtxCCdevWMXXqVGbPns348eML/TxVKhUPgoMZ\nf/UqnZyc+MzHBycbGyOUuHCXL0P79nDuXMmG0tXH/nN2dibZBJOspXBycuL+/fsFppf2d9Pow+Oa\no2x1Njuu7NB2mob2w897nbcz8l7/cz6ARmjyLZ/3rBGafNOeXC7lcgpVMqropqs1ajRCo3uoxT/e\n/2N+riYXtVCTq8kt8HhagrGxssFGaUMF6wpUsKpAReuKVLB+/PzEe93rfyxjZ2NH1QpVqWJbhSoV\nquR7XcW2CnY2diaRxEpKoVAwYsQI2rdvT69evYiIiGD58uW6u5af9G8XFy42a8b0a9d48eRJlvn5\n0adaNSOUuqDAQO1Y7O++C1u3GqcMhf3AmQpz/SenLMgzkXJOCFFocslR5+heZ6uzyVJnkZWbRWZu\nJlnqx8+5Wfle583Le52Zm8mDnAekZ6eTnpVOenY6aVlputfpWelkq7Oxt7XXJZWqFarqkk11u+q4\n2bvhVtlN91zDvgZu9m7Y29ob+6MrICMjg2HDhpGQkMD27dtxf8q/9EdSUhgdFUVw5cos9/OjRiFJ\np6w9egQvvqit1urc2dilkcpKaX83ZRKRjCpXk5svqeQlmtTMVO48vENSRhKJGYkkPUjSPh6/VygU\nuuRSw76G9vXj955VPanrUhcfJx9srMq2ykgIwbx581ixYgXff/+9rj+lwmSq1cy5cYM1t2+zMSiI\nfzk5lWFJC7dnD7z5Jly4AJUqGbs0UlkweBKJiYnhhx9+IDU1FS8vL1q1akXDhg1LvEFDsuQkYumn\n088TnxCCjOwMXVJ5MrkkPUgiLi2OqLtR3Eq7RW3H2vi7+OPv4k+AawD+rtrXrnauBq1G++WXXxg5\nciTz5s1j9OjRT43vQHIygyMjmezlxXteXkav3gsNhYAAmDOn+H8jv5/my+BtIgcOHKBv377cuHGD\nFStW8Ouvv3L79m0mTZrEkCFDSrxhSSophUKhrf6qUAVf58LvHgftBRAxyTFE3Y3iyt0rHLl5hFUR\nq7hy9woKFPmSir+LP/6u/tR1qYu1svRNhd26dePIkSP07NmTiIgIevXqVeSyHZ2cCG/ShL6XLnEy\nPZ01/v7YF3LJcFlZskQ77sjgwdpkIklP88wzkZUrV9KiRQsaNmzI+vXrGTZsGFlZWezYsYOUlBTG\njx9fVmV9Jks+E5H0RwjBnYd3iLobRdS9KG2SuXeFK3ev8NeDv2jt1ZoOtTvQoXYHmro3LVWVWGpq\nKkOHDiUlJYXvv/8eNze3IpfNVKuZ8OefnEhL48cXX6SunV2Jt1taX3wBYWGwf3/JRwOUzIPBq7OE\nEHzxxRf88ssvVKlShVGjRlGnTh0qVKjAjh07eP/990u8cX2TSUQqrbsP73LkxhEO3TiEKlZFTHIM\nLT1bElI7hA7eHWjm3owK1s/XCK7RaJgzZw5r1qxhx44dNG3atMhlhRB8c/s2s65fZ5W/Pz1cXUsb\nUonk5kLz5jBpkvY+EslylVnDek5ODgcOHODYsWPcvn0bFxcXBg0aRHBwcIk3rm+WnEQsuU4WTDe+\n5EfJHLl5hEOxhzh04xBX7l6huUdzOtTuQIh3CC08W1DRuuIz16NSqUhJSWHs2LEsWrSI119//anL\nH09NpX9kJCNr1OAjb2+URjgdCA+Hnj21HTQ+q83fVPefvlhyfGV2n4iNjQ2dO3ems7z2TypHnCo5\n0cO/Bz38ewCQmpnK0ZtHOXTjEFP2TeHSX5do4t6EkNohhNYLpV71ekWuq1evXvj5+dGrVy/OnDnD\nZ599hk0RNxy2dHDgVJMmhF66xKkLF/i/wMAyvzmxeXPo00c79sjXX5fppiUzIi/xlaRSSM9K5/e4\n39l3bR+bL26mpn1NhjUYxqDgQbjaFV4VlZyczODBg8nKymLbtm24PqXKKkejYcq1a/x09y4/vvgi\n9e3L9v6YlBQICoIdO6BlyzLdtFRG5H0iT5BJRDImtUbNvmv7WH9uPb/++SsdX+jIsAbDeNXvVWyt\nbPMvq1Yzc+ZMtmzZwo4dO2jUqNFT170xKYl3oqP5wteXwU9pnDeEzZthwQJtT79GvGhMMhDZAWM5\nYenjNVhCfFZKKzr7dmZT303EvRtHN79ufH7sczw+96D3/N6cSjilO1itrKz49NNPWbBgAZ06dSIs\nLOyp6x7i5sa+Bg2Ydf0670ZHk/N4nJKyMHAgVKsGy5YVvYwl7L+nsfT4SkMmEUkygKoVqjKq8SgO\njzjMidEncKjoQOj3oby44kUW/r6QhPQEAEJDQ9m1axcTJkxg8eLFT/2PsIG9PSebNOHKw4e8cu4c\nSdnZZRKLQqHtCmXuXIiLK5NNSmZEVmdJUhnRCA1Hbx5l/dn17LiygxYeLRjWYBg9A3py9/ZdunXr\nRuvWrVm2bFmRDe4AaiH4ODaWtYmJbK9Xj+ZVq5ZJ+WfP1naHsn17mWxOKiOyTeQJMolI5uJhzkN2\nXtnJ+nPribgdweRWk3k98HVGDR1Fbm4u27Ztw9HR8anrCLt7l9FRUazw86Nf9eoGL3NmJgQHa+9o\n79bN4JuTyohsEyknLL1OtrzFZ2djx+Dgwfz22m+ohqs4k3iGRmsbETItBB8/H9q0acP169efus6e\nrq7srV+fd2NimH/jhsH/gapYEVasgDfegHv38s8rb/tP+ptMIpJkZEHVgtjabyv/b+j/40TiCcLq\nhBHQJYDWbVpz7Nixp/5toypVON64Mdvu3GF0VBTZBm5wf/ll6N8fXn8dyrBtXzJhsjpLkkxMxO0I\nZh+aze/7fidrRxYrlq/gtcFP73skIzeXwZcvk6FWs71ePYPemJiTAyEh0L07TJtmsM1IZUS2iTxB\nJhHJkpxKOMW769/l2MJj/Hvgv9m2bNtT++1SC8H7MTHsunePX+vXx8eAA4LcugVNm2pHQezQwWCb\nkcqAbBMpJyy9TlbGV1BT96YcmX6Enft2ovpNhUsrF74+/jU56pxCl7dSKPjc15eJnp60OXOGoykp\npSx10Tw9Yf16GDIEkpLk/ivPZBKRJBPXrUk3Ei4k0MSlCdOHT8dvoR/rz64nV5Nb6PLjPTxYFxBA\nn0uX2JSUZLByde4MI0dqxx1Rqw22GcnEyeosSTITGo2GadOmsen7TdQYW4M0+zTmvzyf3gG9Cx0N\n8UJGBt0vXGBEzZp8WLu2QUZMVKvhlVegXTv4+GO9r14qA7JN5AkyiUjlwbfffsvMmTOZsmQKq5JX\n4evsy/Kuy6ntWLvAsolZWfS4eJG6lSqxOiCACkr9Vz4kJmrbR9asgU6d9L56ycBkm0g5Yel1sjK+\n4hszZgwbN25kwTsLmGgzkRYeLWjyTRMW/7G4QBVXjQoVUDVsSKZGw8vnznHXAF2l1KgB772nYtgw\nbYO7JbL072dpmEQS2bNnDwEBAfj5+bFgwYIC869cuUKrVq2oWLEiixcvNkIJJcm0vPzyyxw+fJil\nny/l1qZbHHrtELujd9Ps22aEx4fnW9bOyopt9erR1sGBlmfOEPXwod7L07AhvP22trPGnMLb/SUL\nZfTqLLVajb+/P/v27cPDw4NmzZqxefNmAgMDdcvcuXOHGzdusHPnTpycnJg8eXKh65LVWVJ5k5aW\nxvDhw0lISOD777/ncPJhJu+dTL+gfsztOBeHig75ll9z+zbTr11jS1AQLz1ruMLnpNFo7x0JCoLP\nPtPrqiUDMvvqrPDwcHx9ffH29sbGxoaBAwcW6Ba7WrVqNG3a9Kmd0klSeVS1alW2b99Oz549adGi\nBZ7JnkS+EUlWbhb1vqrHD5E/5PuBGFmzJluCghgYGcmqhAS9lkWphA0bYNs2eEbP9pIFMXoSiY+P\nx8vLS/fe09OT+Ph4I5bINFl6nayMr+QUCgXTp09n3bp1hIaG8t033/FN92/Y0m8LH6k+ovvm7sSm\nxOqWf8nJicONGrEwLo53o6PJ1UP/JXnxubhob0AcOxae0fWXWbH072dpGH2cMn1fdjh8+HC8vb0B\ncHR0pGHDhoSEhAB/fxHke/neEt/b2tqydOlSFi5cSHh4OK+99hpL/Zdy0vYkTb9pSr9K/egX1I+X\n//Uy/nZ2LE5PZ/aFC3R/+JAtQUFEHD2qt/J88AF06aJi2TLo1Mk0Ph/5Xvs+73VsbCz6YPQ2kePH\njzN79mz27NkDwKeffopSqWTq1KkFlv3444+xt7eXbSKS9BQPHz7kP//5D+fOnWPHjh34+PgQcz+G\nCbsmkJiRyMpuK2npqR0wPUej4d3oaPanpPDziy/ia2enlzIIAf36Qc2asHy5XlYpGYjZt4k0bdqU\nP//8k9jYWLKzs9m6dSs9evQodFmZICTp2ezs7Fi/fj1jxoyhVatW7N69Gx9nH/YM2cO0NtPovbU3\nE36dQFpWGjZKJcvr1uVtDw/aRERwMDlZL2VQKLT3jezZo63ekiyYMAG7du0SdevWFT4+PmLevHlC\nCCG+/vpr8fXXXwshhLh9+7bw9PQUVatWFY6OjsLLy0ukp6cXWI+JhGMQBw8eNHYRDErGZxhHjhwR\n7u7uYs6cOUKtVgshhLj/8L4YHTZa1F5SWxy4dkC37P7790X1o0fFyvj4595OUfGdOSOEq6sQV66U\nqPgmw5K/n6X93bSoX12ZRMyXjM9w4uPjRevWrUWPHj1ESkqKbvqvV38VHos9xMTdE8WD7AdCCCGu\nPngg/I8fF29dvSpyHied4nhafCtXChEcLMSDByUOwegs+ftZ2t9No7eJ6JNsE5GkwmVnZzNp0iT2\n7t3Ljz/+SL169QC4/+g+b+56k9O3T7Oh1wZaeLYgJSeHAZGRAGwNCsKxlJfWCwFDh4KtrbaKSzIt\nZt8mIkmS4dna2rJ8+XJmzJhBSEgI33//PQDOlZzZ1HcTn7z0CT239GTG/hnYKQW/BgcTYGdHyzNn\n+LOUd7grFPD113D8uPZZsiwyiZiJJy/Ps0QyvrIxbNgwfvvtN6ZMmcKYMWNIS0sDoH+9/pz9z1ku\n/HWBZt82I/LORb7w82OSlxdtIyLY/4wG92fFZ28PP/0E8+bB6tX6iqbsmMr+M0UyiUhSOdO4cWPO\nnTsHQIMGDThw4AAANexrEDYwjHdbvsu/NvyLT498ysga1dkaFMSQyEi+KuVNwL6+cOCAtsv4b78t\ndRiSiZBtIpJUju3evZuxY8fSs2dPFixYQOXKlQG4mXqTkWEjeZDzgPW91mNl50X3Cxd4ydGRpb6+\n2ChL/v9ndDR07AgzZ2rvbJeMS7aJSJJUYl27duX8+fOkpaXRoEEDjj6+a72WQy32Dt3La8Gv0WZN\nG349/y2/N2rI9cxMupw/T1IpupT39YWDB2HuXFi5Ul+RSMYik4iZsPQ6WRmf8Tg5ObFhwwYWL15M\naGgokydP5tGjRygVSt5o/gZ/jPyDLRe30HdTF5Z7VaW1gwONT53K107yvPH5+GirtubNM4/GdlPe\nf1kQOD0AACAASURBVMYmk4gkSQD07NmT8+fPc+vWLRo3bkx4uHZcEj8XP46MOEJnn860WNUM7+QD\nrA8I4PXLl/nw+vUSd+Do46M9I5k/H776Sp+RSGVJtolIklTAtm3bePvttxk1ahQffvghFSpUAOBC\n0gWG7RxG9crVmdvlK6bFp5Ot0bApKAiPx8s8r+vX4aWX4P334Y039BmFVByyTUSSJL0LDQ3l3Llz\nXLp0iWbNmhEREQFAsFswJ0afoF2tdnRZ24I+2cfp5OREk1On2HXvXom29cIL2jOSRYtkZ43mSCYR\nM2HpdbIyPtPj5ubGjz/+yPvvv0/nzp35+OOPycnJwcbKhhntZ6AapmLt2dUcODyKsfHR/OfqVabE\nxJBTguqtvESyeDEsW2aAYErJHPdfWZFJRJKkIikUCoYOHUpERATHjx+nZcuWXLx4EYB61evxx6g/\n6OLThS/2v80E5VkuPXhA+7NniX306Lm35e0NKhUsWQL/+59+45AMR7aJSJJULEII1qxZw7Rp0xgy\nZAgffvghzs7OAFy5e4WRYSOxtrKlTaslrLn7kK/r1qV3tWrPvZ0bN7RtJG+/De+8o+8opH+SbSKS\nJJUJhULBqFGjiIyMJDs7m8DAQJYvX05OTg4BrgEcGXGE3v49+TbsFQZxkUnR0bz9559kPWf1Vu3a\n2jOSZcu0ZyWSaZNJxExYep2sjM98VKtWja+++or9+/fz008/Ub9+fRYsWICV0op3W73L8dHHifhz\nE9WuzOBK+l1anzlD9HN24lirljaRfPklfP65YeJ4Hpa0//RNJhFJkkrkxRdf5LfffmPRokUsX76c\nrl27EhkZia+zLweHHeT1en04va87Xg8v0joigi1JSc+1fi8vbWP7V19pG9wl0yTbRCRJKrXs7GxW\nrFjB3LlzCQ0NZfbs2bi6unI9+Tqjfx5NIlXI8J1Ee6dqLPLxwc3WttjrvnVL29fWSy9pz0oed+8l\n6YlsE5EkyehsbW2ZOHEily9fRqFQEBgYyNKlS/Go7MG+oft4O6grGX8MJiYxnHrh4XwVH4+6mD9c\nnp5w6hRkZUGjRvD4RnrJRMgkYiYsvU5Wxmfe8uJzcXFh2bJlHDp0iL179xIcHMyvv/7K2CZjOTvm\nGN73f8Pq/Ht8ce0CLU6fJvzxeCbPUrUqrFun7Wure3eYMwdycw0Xzz9Z+v4rDZlEJEnSu6CgIHbt\n2sXSpUuZMmUKnTp1IuVmCpv6bmJn9yU4Rs3m7p/f0PXcGcZFRXE/J6dY6+3XDyIi4OhRaNdO2628\nZFyyTUSSJIPKyclh5cqV/Pe//+XVV19l2rRp1K1bly0XtzBFNQdbn/GkVW3IAh8/hteogVKheOY6\nNRptFyn//S98+imMGqUdhld6frJNRJIkk2ZjY8Obb77JlStXeOGFF2jXrh0DBgwgIDeAq/85w0j7\ndLLPTmLG5eO0Pn2KcxkZz1ynUqm9GTHvMuBeveDOHcPHIhUkk4iZsPQ6WRmfeStOfE5OTnz44Ydc\nu3aNli1b0q1bN/r27EsHZQeuDPuZrum/EHlxKW1PHeftP6+SVoxGj3r14MQJCAyEBg1g1y49BFMI\nS99/pSGTiCRJZcre3p5JkyZx7do1evfuzbBhwxjw7wGEVuiPqtNk6sd9zncXf6DOH0fYnJT0zKoW\nW1vtmCRbtsCECTB+PDx4UEbBSLJNRJIk48rNzeX7779n3rx52NjYMG3aNKzqWTHx+LekeY0gyMmT\ntUENCSzGDSKpqfDWW9qzk//7P2jWrAwCMHOl/d2USUSSJJOg0Wj49ddfmTt3LsnJybw35T3u+abw\nSewF1LWG0N3FlQ/r+POivf0z17VtmzaZvPUWTJsG1tZlEICZkknkCZacRFQqFSEhIcYuhsHI+MqW\nRqO9mulZVzQJIcjKuklq6h+kpR0jNfUPHj2KwsqqCtbWjrrHmTOZtG7tn29aYQ8bG1cUCqtnblOl\nUjFv3jyioqIYP3E8Mb532JiWDh69+P/t3Xl8VOW9+PHPLNn3hGyExCwQEkIgQFjEtkAVXHpL660g\ndAMXlFqltlbQbt6qFdT2eqvtrbS3VKVXf1qvWwtihRpUlgACAlkICQkJSUhCkmGyTGY75/fHISTs\nk8kymcn3/Xqd11ky58zznZM533me5yyTQ0J5YlwuN0RFobtCALW1sHy5Vjt57DG4+WatQ94dw23/\nDaT+HjclPwvhZTo7oaYGqquhuRna288f2tquvsxiAYNBu4VIcHDvsYK/fxv+/qfx86vHYKghMLCD\n8PBoIiMXExX1Q+Li4klJ6SA1tZX4+NMoiony8p2EhIzG4TBhtzdjsVTgcJguGFpRFBthYdOJiJhN\nePi1hIfPws8v6rz4dDod8+bNY968eezdu5e1a9ey45kd3PPtJfgbdvCys5aFppuJDY7msfQJfCdx\nNP6XyA5JSfDBB/D66/Czn8GaNfDjH8M3v6n1o4iBITURIYYRux3q6nqSRO9x93Rnp3YrkORkiIuD\n0NBLD2Fhl18eFKS9l8nUREPDfhobP6epqYSWlmoUZRx6fR4wEVUdj90+is5OHZ2dWod1ayscPw4V\nFVoSS0uDjAxtGDu2Zzot7eKDtd3ejNm8mzNndmE276StbS8BASmEh197NrHMJjg4E53u/KRw9OhR\n/vKXv7Bx40aSkpKYdvM0dqRaOBozjYCwTB4Yk8SPU8cT5ed3yc9VVWHrVnj2WSgu1p5Tcs892pXw\nI500Z/UiSUR4A7MZjh6F0lJtKC/vSRSNjRAfryWI5GTtlui9x8nJEBvbvwvrurqqOXHiKUymbdjt\npwkPn0V4+GwiImYTFjYDozHM5W11dvYklPJybdw9ffIkJCaen1hyciA/X4sRQFEcdHQcxmzeeS6x\nOBymXknl2rNl0vpBnE4nW7du5aWXXmLz5s3MmjOLjqnhFGZloY+7jlujQ1k7fhppQUGXLfOBA1oy\n+eADWLFCu95k9Gj3P09vJ0mkF19OIr7cJgu+F5+iaAfR0lItYWzbVkBb21xKS8FkgvHjtSErC8aN\n05JESop2MBusTmCHo53q6nXU1f2BpKT7iItbQnBw9kW/+t1xqf1nt2vJsXeCOXxYu5liaKiWTKZP\n18b5+RB1tlXLaj2F2bzrXGJpbz9IcHAmkZFziIy8nsjIL2E0hmMymXj99dd5+eWXOX78OKnzJnBk\nWgrWKYuYFqTnN9kzuS4q+rJlrqrSHnq1cSPceqvW1JWd7Xp8vkL6RITwIKsVysqgpKSnZlFaqi2L\niNCSRFaWVoP46le16TFj3O/gdYeqOjl16iUqK39OVNT15OcfJDAwedDf18+vpwayYEHv8mi1l717\ntYTy5JNa7SAurjuxJJCffytTp95KRgYoipW2tv2YTAWcPPlflJQsJSRkIpGRX2bx4uu5++5tlJdX\n8/LLL3Pyv17BP+JTKq5N40s3LmVMbAy/yMhh6eg0gg3nd+inpsJvfwu/+IX2zJJ582DmTFi9Gq67\nbtA/Hp8hNREhXGA2a8mhpERrUy8p0YaTJ7W2/+xsbcjK6qllDIf29tbWj6io+BF6fQhjxz5HePjw\nvHDC6dRqbPv29SSXQ4e0R+V211ZmzIC8PDAauzCbd9Haug2T6V90dBwmLGwGUVFfJixsDnv2tLFx\n41957x/vETQxmeYvzYbrbmF8mJ4lCcncfU0OowMDLyqDxQIvvwy//rWW0FavhoULhzbhe4I0Z/Ui\nSUT0h6pq91/qThC9E0Zrq5YgupNFdjZMmKD9yr5MX65HdXaWUVHxMB0dh0lPf5rY2NuueDrscGS3\nQ1GRllS6h7IyrV9lxgyt1jBzJqSmmmlr+4TW1m20tv6Lrq5KIiK+iMEwm3/9q4u33v6E3YWFBKTG\n0ZE7FuesG4mdcA03x0bzQPpUpoaff6qw0wlvv631m9TUwE03aacH33BDT5ObL5Ek0osvJxFfbpOF\noYvP6dRqDxUVPR3C3eOKCq3DuneS6J5OSenfL9Khis9ub+HEiSc4dWojKSmrSUpahcFw8a/ugXbZ\n+BQFTp2Cykrtg+7q0qpoEREXj0NDr/ohd3RoTV+FhdrDqQoLtVri9Ok9iSUv7zT+/h+dralsw25v\nxd8/n6NH49m718I/PzpIZdVJdNnXYJ02k8Dp+cwen8S9qbncmpiOX68ylJfDli3w178WUFw8l0mT\nepLKlCm+UUuRPhEhLtDefn6C6D1dXa2d3ZSertUi0tO1O8Cmp2vDqFHeeUtxRbFTV/cHTpx4klGj\n/p0ZM4rx948bmjc3m7WjbWtrT7LoHldVaUkiLU37gIODtdebzdpVgL3HHR3aBSsXJpju6eRkQtLS\n+EJ6Ol/4Zjr8KAF0OhoatISyZw88/zzs3TuKiIhFzJy56GwTWBMJCbuZPftTJk7czaJF9XR2JlFc\nHM/O3SVs+9m7fGxV+ChvAky/jsz8DL4zMY+V6VMZOzaA+++HiRNh1iz4+GN4/3349rehpQVuvFFL\nKPPna/87I5HURIRXUFXtGHXqFNTXa8Plpm22nqTQnSi6p1NT4RLN4V5LVVWam/9BRcWPCQy8hoyM\n3xAamjt4b7hvH7z1Vk9WrqzUOhO6k8SF49RUrYbhCqdT+wVwqQRjMmltS92/CiortSsoU1Mvek/l\nmjTK1QwKi0LZs0drBisqgshIyM2FnByFceNqSE3dS3z8B3R1fUpFxQmOHBnNx4VW9u1tRImKxJ5/\nLaET0sgYn8IXs7L5SnIWc0clE3i2g76yUjtN+P33tVvSZ2f31FLy87WLOb2BNGf1IknEO3R1accE\nk0k7RnRP957vThjdyeHUKe3gn5gICQna+HLTUVHeWZvoq46OEo4dewCbrZaMjN8QHX3z4PR7tLfD\na6/Biy9qP7+//W3tiNl94I6LG9APXHWqOEwO7C12HK09Y32AHmOEEUO4AWOEEaPRiqH1JIbayotr\nQJWV2hWVZ8uopKZzIjyXw/YsjphTOHwyisPFBioqtDyUk2M7m1g+IyHhnzQ0vMXefXYOFhuoqLBi\nbrXjP2YUzvRMuCaFhPTRTMvN4qs5U/nq6CzCCGTHDi2hbNmi/c9Om6Y1iebkaMOECVqFarjxiSSy\nZcsWHnzwQZxOJ3fffTdr1qy56DWrVq3i/fffJzg4mJdeeokpU6Zc9BpfTiKD3aauqtozq202rUOz\ne2y3a6exdnZqPzgtlp5pV8ZtbRcnCUXRDvSRkdoQEQE2WwGZmXPPzUdG9iSFhARtCA4etPAH3UDv\nv9On3+Xo0bu55pqfM3r099DrB6F3/9AhWL9eSyBz5sDKlVq7zSU6Aq4Wn6qotH3WRseRDhwtFySI\nXvOOFgeONgfGcCPGKCN+0X4Yo40YI40oVgXnGScOswPHGYc2fcYBOs5PLhFGjBEGDP4OjGo7RocJ\nf3sjfp21+Jsq8W88il9DKcZRQdhTx3E0+loO+03liC2Twy1JHK6JpKnVQFaWlbS0RhITazCZ3iEh\n4QytrYWcbj5ORbWDyuMO7A4dganx6FOT8UtNIyNrHDfmz2Re9AzayqIpLtJRXKzVhEpKtP/r3kll\nOCQXr+8TcTqd3H///WzdupWkpCSmT5/OwoULye511c/mzZspLy/n2LFjFBYW8r3vfY/du3d7rMyd\nnfD009qBty8D9Ewrijb0nr5wvvf0qVPa99npvPTgcFz+b93Dhcmhd8JwOLSL3Pz8tMHfv2fs768d\nwIOCLh73ng4J0dqFe/8tPLwnWXQniMDAi3+4FhSAD583MGBUVaW6ei21tf9Nbu4mwsNnDOwbWCzw\nt79ptY7qau2S7kOHtItb+kixKZgKTJx+5zSn3zuNIdRA+Mzwc4khJCcEY/TZRBFl7JmOMKIzuFaz\nUVW1J7mcOZtczOdP21vtdDTYsTXasFlt2APt2AJtKM0K/k4V/3orE/3amKoW4m89hX/7Cbq6Wqio\nTKOqJZ3agCTKLWnU+93CibZoalpDCA+zMS75DNGxdegNpXS1f07n7hLqN7/L2rrf8usQC0GJEfjF\nhGOMiSBg6ijG3TSaiJg0QgIyaOrM4YPCDP7wYgilJTqio3uSysSJcMcd3lOb9nhNZNeuXfzyl79k\ny5YtAKxbtw6ARx555NxrVq5cybx587j99tsByMrKYvv27cR33zvhrKGqiXR2aqf/ae/Zt6F7HYNB\nG+v1PUPv+UtNd693qcFovPzfuofuxHBhkvDz09b3hTNNfJnT2cnRo3dhsVQwceLbBAQkDdzGjx7V\nfqW88op2qtPKlfCVr/T58nmH2UHL+y2cfvc0Le+3EJwVzKivjyLmazGEZF39eSBDyWlxYmuwYW+w\nY2uwadONZ6fru7BVt2FvsGI3KTja9OiNDvz8utDr2jmj2GiyO2mw62nwj6TeL4ZaQww1RHHSEoXe\n4CAkpBljwGn0xkbQNaE4G7Hbmujsaqazowmjv4ng6HaCYi0ExTvwi4rAEBqPISCdQ797fsg+B6+v\nidTW1pKc3HP17JgxYygsLLzqa06ePHlREhkqwcHaraWFGCpdXSc5cuTrBAePJy9vOwbD5e8N5TKb\nTbsgYv16rb3lzju1U5zS0/u0GWu9leb3mjn9zmnO7DhDxBciGPX1UWT8JoOAxID+l3OQGIIMBKUG\nEZR69c9SVVWtVtNsx37aro2b7dgbrDhqzmA/acZ+qhZ7cxW2VoXmtgCaTUG0OoMw6xJoJxEzYNbB\nGX8VU5CRFp0fza0hmBrDOPV5KH5GM0ZjM/4B1fC7wY9/oHg8ibjaEXhhpvS2C6f6S64T8W79ie/M\nmd0UFX2DMWNWkZy8uv//+xaL9jzZ9eu1NpSVK7XznPtwf/SO0g6tmeqd01iOWiifVs4t997ChDcm\nYAzz+GFlwG3fvp25c+dijDASlO56AlcVFWeHE2ebNjjaHDhbrTgb2nA0tOFsasXZYsHW3EXzaWhu\nNdDh8K4mAY/v7aSkJGpqas7N19TUMOaC9tcLX3Py5EmSki5dlV++fDmpqakAREZGkpeXd+7LW1BQ\nACDzMu818y0t/yQ+/n8YP/7PHDkSxvHj2/u3/SNHmPvCC5CXR8Ezz0BKisvrf/TRR7RubSXp/5Jw\ntjupmF5BxKII/u2Bf8Ox00ExxfDZ8Pr8hsu8MczYMz9/LhDb6+9fBuBkQQHBwC2DXJ7u6aqqKgaE\n6mF2u11NT09XKysrVavVqk6ePFktLi4+7zWbNm1Sb775ZlVVVXXXrl3qzJkzL7mtYRCOEANCURxq\nefnD6q5d6Wp7+5H+b7CzU1V/9CNVTUhQ1Tff7PPqbZ+3qfu/uF/dO3Wv2lrQqiqK0v8yiWGhv8dN\nj9dEjEYjv/vd77jxxhtxOp3cddddZGdns379egDuvfdebrnlFjZv3szYsWMJCQnhL3/5i4dLLcTg\ncTjOUFy8FEXpYtq0Pfj5xfRvgzt3aqf7TJmi3Yu9D5dW2012qh6rovG1RlIfT2X0itEunzklRogB\nSmbDgo+Fc56PPvrI00UYVBKfpqOjTC0szFKPHv2+6nTa+vemnZ2q+tBDWu3jb3/r06qKU1HrX6pX\ndyTsUEtXlKrWJusVXy/7z3v197jp8ZqIEELT0rKVkpJvkZb2OKNH39u/je3apdU+Jk/WrvOIjXV5\n1baDbRz7/jFUu8rE9yYSPn0Y3NNeDFsev05kIPnyFevCd6mqSm3tC5w48RQ5Oa8TGTnH/Y1ZLNpT\nlv76V3jhBbjtNpdXtZvsVP28isY3Gkl7Mo3EuxLR6aXpytd5/XUiQoxkimLj2LHvYzbvZurUXQQF\npbm/sd27YflymDSpT7UPVVE59dIpjv/kOLG3xjKjeAZ+McPwISliWPKuE5JHsN6n5/mikRifw2Hm\n8OGvYLM1MGXKTvcTiMUCDz+sXevxxBPwxhsuJ5C2/W0cuO4AdX+sY9KmSWT+IdOtBDIS95/QSE1E\nCA+wWus4dOgWIiJmM27cC+h0bt43fPdure8jN1c788rF5GFvsVP5s0qa3moi/al0EpYnSNOVcIv0\niQgxxDo6Sjh06GZGj76HlJRH3bsC3emEX/4S/vhHre9j0SKXV20taKXkWyWMunUUaU+k4RclTVcj\nmfSJCOFFTKZPKSr6BhkZz5CQsMy9jbS2wre+pd0J9PPPwcV7yKmqysn/PEn1s9Vk/zWb6Bui3Xt/\nIXqRPhEv4ettsiMhvqamtygqupXs7I3uJ5AjR7S77I4fDx9+6HICcbQ7KF5STOP/a2Ra4bQBTyAj\nYf+JS5OaiBBDoKnpbY4de5NJkz4gLGyqexv529/gvvvguee0pwu6qPNoJ0duPULEdRHkfZKHIdBL\nntsqvIL0iQgxiFRV4fjxRzl9+h0mTdri3hlYTif85CfaWVdvvaXdvsRFTW81UXZvGWlr0xh99+i+\nv7fwedInIsQwpSg2SkvvoKurkilTduDv7/o9q85pboalS7XHW+7d6/J9rxSHQuXPKmn8f43kbs6V\nq87FoJE+ES/h622yvhafw3GGQ4duQVE6mTx5Gzt3Hun7Rj7/XOv/yMuDLVtcTiC2JhuHbjpE+2ft\nTNs3bUgSiK/tvwv5enz9IUlEiAFmtdZx4MCXCA4eT07Om+49hfDVV+GGG+Cpp+CZZ1x+TK15j5nP\n8j8jfEY4k7ZMwn+U6w+aEsId0icixADq6Cjm0KFbGD36XlJSHun7NSAOB6xZA++8oz26dtIkl1ZT\nVZX6P9VT+dNKMv+YSeytrt9wUYxs0icixDBhMn1CUdFtZGQ8S0LCd/u+gaYmWLIE/Py0/o9o107D\ndVqcHLv/GObdZqZ8OoXg8cF9f28h3CTNWV7C19tkvT2+xsY3KSr697PXgFycQK4a3/79Wv/HzJmw\naZPLCcRSZeHAFw7gbHMytXCqxxKIt++/q/H1+PpDaiJC9IOiOKiq+gWnTr3CpEn/JCzM9dNvz9m4\nER56CP7wB/jGN1xereWfLZR8t4SU1SmM+eEY926fIkQ/SZ+IEG6y2RooLl4K6Jkw4VX8/eP6toGu\nLvjhD2HbNq3/IyfHpdVUp8qJJ09Qt76O7FeziZob1ffCC3GW9IkI4QEm0ycUFy8lMfEOUlP/o+93\n4S0rg8WLISsL9u2DcNdOw7WdtlHyrRKULoVpn00jIDHAjdILMXCkT8RL+HqbrLfEp6oq1dW/pqjo\nNsaP/xNpaU+4lEDOi++11+C662DlSm3axQRiLjTz2bTPCJ0cyuRtk4dVAvGW/ecuX4+vP6QmIoSL\n7HYTR4/egdVay7RpewgMvKZvG7BY4MEH4V//0m6emJfn0mqqqlL7u1pOPHFCO33363L6rhg+pE9E\nCBe0tR2kqOg2oqNvYuzY36DX97EWUFamPfMjO1t7BoiLtQ9Hm4Oye8roLO0k580cgjLcuHBRiCvo\n73FTmrOEuIr6+g0cOjSftLTHycz8Xd8TSHfz1X339an5qqOog/0z9mMINTBl5xRJIGJYkiTiJXy9\nTXY4xud0dlJaeic1Nc+Sl7ed+Phv9m0DFgvcey889hgFa9dq0y6ehtvwagMH5x4keU0y4/80HkPQ\n8L59+3DcfwPJ1+PrD0kiQlxCZ2c5+/dfi6JYmDp1LyEhE/q2gaNHYdYsaGuDzz6DsWNdWk2xKpR9\nv4yqx6qYvHUyicsT3Si9EENH+kSEuEBT09uUld1LaupjjB59X98v4vvf/9U60H/1K1ixwuXaR9eJ\nLooWFRGQHEDWhiyMEXLeixh8cp2IEANEUewcP/4oTU1vkpv7D8LDZ/RtAxYLrFoFH38MW7fC5Mku\nr9q8uZnSO0pJWSNXnwvvIs1ZXsLX22Q9HZ/JtJ39+2fR2VlEfv5nfU8gpaXafa86OrSLBy9IIJeL\nT3EoVP68kqP3HCXn/3JI/lGyVyYQT++/webr8fWH1ETEiNbZWUZFxWra2w+Snr6OuLjb+3YQt1jg\n2Wfh+edh7Vq4+26Xm69Mn5o4dv8x/OP8yf8sH/94efaH8D7SJyJGJLu9maqqx2lo+F9SUh4mKekH\nGAyBrm9AVbXnnf/4x5CfD7/+NVzj2sWH1norx1cfx1RgIuM3GcQuivXK2ofwDdInIkQfKIqV2trf\nU129ltjYRcyYUdz3GycWFWl9H42NsGEDzJvn2nvbFWqfr+XE2hOMXjGa6SXTMYbKV1B4N+kT8RK+\n3iY72PGpqkpT0/+xZ88EWlu3kZe3nczM/+5bAmlthR/8QEsat94KBw64nEDe+8177Ju8j5YPW5i6\ncyrpa9N9KoHI/+fI5Tv/xUJchtm8h4qKh3A4zpCZ+SLR0fP7tgGnU6tx/Pzn8PWvQ3ExjBrl0qpd\n1V1UPFTByU9OMnv9bGIWxkjTlfAp0icifFZXVzXHjz+KyfQRaWlPkJCwvO+3bN+xAx54AEJCtM7z\nKa49dEqxKtT8uoaa/6xhzKoxJK9OHvZXnYuRSfpEhLiAw2GmunoddXXrSUr6PpmZ6zEaQ/u2kdpa\nWLMGtm+HZ57Rnn3uYg2ieXMz5T8oJ2RiCNP2TSMoTe55JXyX9Il4CV9vkx2I+Do7y6ms/A/27BmP\n1VpLfv7npKU93rcEYrVqp+pOngypqVBSAkuXupRALBUWDi88TPmD5Yx9YSwT3554LoHI/vNuvh5f\nf0hNRHg1u72FxsbXaWjYiMVSQVzcEiZN+oDQ0El925DNpp2y+7OfwcSJUFgIGRkurWqttVL7+1rq\n/lhH8o+TyflbDvoA+X0mRgbpExFeR1GsNDdvpqFhI62t24iOvpmEhO8QFbUAvd6vbxsrL4c//Qle\nekl7xvkjj8CCBVcvg02h+e/N1P+5HvNuM3G3x5Hy0xQCx/ThWhMhhgHpExEjgqqqmM27aWjYSGPj\nG4SETCQh4TtkZf0FozGibxuz2eCdd2D9ejh8GJYtg08+gczMq67aUdxB/Z/rafhrA8FZwSTelUjO\nmzkYgqXTXIxMHq1zt7S0MH/+fDIzM1mwYAEmk+mSr7vzzjuJj48nNzd3iEs4fPh6m+zl4rNY1b9C\nkQAAD3hJREFUjlNV9Th79mRSWnoHAQFJTJu2jylTCkhMvKtvCeTYMVi9GpKTtQRyzz1QU6PdtuQK\nCcTR5qDuf+rYf+1+Pp//OfoAPVM+ncKU7VNI+G6CSwlkpO4/X+Hr8fWHR5PIunXrmD9/PmVlZVx/\n/fWsW7fukq+744472LJlyxCXTniCqip0dJRQW/siBw58kf37Z2G3N5Gd/SozZpRwzTU/JSgo1fUN\nWq3w+uvw5S/DF76gLfvkE9i2DW6/HQIu/ZRCVVU5s+MMpXeWsjtlNy2bWkj5aQqzTswi/al0gscF\n9z9YIXyAR/tEsrKy2L59O/Hx8Zw6dYq5c+dSWlp6yddWVVXx1a9+lcOHD192e9In4n3s9lbM5kLM\n5t2Yzbtoa9uD0RhNRMRsYmMXEx19U9/7OUB7pvmf/gQvvwy5udpTBb/2tcsmjW7WU1YaXmmgfkM9\nAIl3JZLw3QS5OaLwWV7dJ9LQ0EB8fDwA8fHxNDQ0eLI4YpCpqpOOjiLM5l2Yzbs5c2YXNlstYWHT\nCQ+fRVLS9wkP39j3e1kBKAocOQIFBVp/R1ERLF+uXSw4btxlV3OccWAuNHNm5xnMO8y07Wtj1L+P\nIuvPWYTPDpery4W4ikFPIvPnz+fUqVMXLf/Vr3513rxOp5Mv7BUUFBQwd+5cTxfDZaqqYLXW0d5+\noFctYx/+/qMJD59FePgsxox5kODgHPR6Y9/jUxStU7ygQLsgcPt2iI6GuXPhvvtg4ULwP7/2oKoq\nlnIL5p1nk8ZOM5ZKC2H5YUTMjiDpB0lEzonEGDbwXwtv2399JfGNXIOeRD788MPL/q27GSshIYH6\n+nri4tz4BXqB5cuXk5qaCkBkZCR5eXnndn5355jM939eVVW2bn0bm+0U+fnRdHVVsX37Dmy2enJz\nzXR1VXPoUDBBQelcf/0tJCc/zIEDNpzOCGbO7L29T117f0WhYMMGOHiQubW18PHHFAQFQV4ec7/5\nTXjhBQqOHTtv/W1btmE5aiHXkot5p5mC7QXoA/XM+/I8wmeHUzG1gsCMQKbcMKXn/T4bHp+vzMv8\nYM13T1dVVTEQPNonsnr1amJiYlizZg3r1q3DZDJdtnNd+kSGjqLYcThasNtbcDhasNlOYbFU0tVV\nRVdX5dmhCr0+mKCgNAIDUwkM7D1OIzDwGgyGftzuQ1Hg0CGtplFQoD1yNjZWq2nMnQtz5sDo0QA4\nLU6s1Va6qrroquqio7gD804zHcUdhOSGEDE7gvDZ4URcG0FA0pX7RIQYafp73PRoEmlpaWHx4sVU\nV1eTmprKG2+8QWRkJHV1daxYsYJNmzYBsHTpUrZv305zczNxcXE8/vjj3HHHHRdtT5KI1mSjqjac\nzk4UpROnswOnsxOnsx2Ho/Vscmg+lyDs9uZzCaN7WlEsGI1RGI3R+PlF4+cXdzZZnJ8wjMaw/hfY\nbNZOvS0r6xmXlcHRo5CYCHPn4pw9F2vatXR1hp1LFL0He6udwORAAlO1ISgziPBrwwmbFiY3PRTi\nKrw6iQy0oUoiqurEYjmOqjoBJ6raM/TMOy6xrPff7KiqDUWxoar2c+PLLdu9+wTTp49CUSwXJQht\nuhNF0eZ1OgMGQwh6fTAGQ/DZcci5pKCNY86b7kkYMRgMYeh0A3j2t8UCFRXnEoSz5DiOkpPYjzfi\n6DDgSBjHdn89M1K+gD0oHodfFHZnGNYG9ZJJ4sLBP9EfnX5496cV+HibusTnvbz67Cxv5XCYOXTo\nZnQ6w7kBDOfN63TGi5b1zBvR6/3R6fzR6fzOTveMdTp/DIZQjMaeZcHBoURFTUSvD7pEgghGrw85\nOw5y75TYs1SnimJVUO0OVJuKYldQbSrOTieKRUGxKNp0uwOlyYyz8QxKUxtKSzvOlk6UMxacZ6wo\n7XaUDgeONgVHlx92v2gcunDsjumgm4FfhB7jKH/8sgMxRvnRbtuPNfs6jNFGgqOM+MX4EZjiPUlC\niJFKaiJucHY6OfHUCVA5N5x7317L4OzySy1Tzq6naNMXLev1t/OWOVVU59l1uqedZ6eVXtOXeJ1q\n7x4ULVHYFG3arqI6QHVoBdQZQKdX0OtVdHonep0Tvc6KXrViUDrROzow2NvR+6voA3UYQgzoQ/ww\nhPujjwhEHxWMIToEfUwoxrQ4jOMTMY4KwC/aD2OUUZqYhBhGpCbiCU4HenMzqCq6nixybqw7P7tc\n/DpVQacqZ8dOODetjVGc55brFCdwdplTAcWOTrGjc9jBaUfnsKFz2tA5bOCwoXPY0TmsYLdqf3NY\nwW5DZ+tC19WOvtOMztqJLsiIPiQQXUwAutAgdGFB6MOC0IWFaA9gCg3tGSIitE7tuDhtHBurPdnP\nKP8+Qox0UhNxh8kEs2eDXn/+oNNdvOxyg9HYMxgM548vsaygro65aWnatQ/+/tqV1wEBfZvuTgpB\nQVoZhhFfbnMGic/b+XJ8UhPxhMhI7TnbQ6mgQDu1VQghhhGpiQghxAjW3+Pm8GrTEEII4VUkiXiJ\n3rcs8EUSn3eT+EYuSSJCCCHcJn0iQggxgkmfiBBCCI+RJOIlfL1NVuLzbhLfyCVJRAghhNukT0QI\nIUYw6RMRQgjhMZJEvISvt8lKfN5N4hu5JIkIIYRwm/SJCCHECCZ9IkIIITxGkoiX8PU2WYnPu0l8\nI5ckESGEEG6TPhEhhBjBpE9ECCGEx0gS8RK+3iYr8Xk3iW/kkiQihBDCbdInIoQQI5j0iQghhPAY\nSSJewtfbZCU+7ybxjVySRIQQQrhN+kSEEGIEkz4RIYQQHiNJxEv4epusxOfdJL6RS5KIEEIIt0mf\niBBCjGDSJyKEEMJjJIl4CV9vk5X4vJvEN3JJEhFCCOE26RMRQogRTPpEhBBCeIxHk0hLSwvz588n\nMzOTBQsWYDKZLnpNTU0N8+bNIycnh4kTJ/L88897oKSe5+ttshKfd5P4Ri6PJpF169Yxf/58ysrK\nuP7661m3bt1Fr/Hz8+O5556jqKiI3bt38/vf/56SkhIPlNazDh486OkiDCqJz7tJfCOXR5PIe++9\nx7JlywBYtmwZ77zzzkWvSUhIIC8vD4DQ0FCys7Opq6sb0nIOB5eqpfkSic+7SXwjl0eTSENDA/Hx\n8QDEx8fT0NBwxddXVVVx4MABZs6cOSjlcbXKeqXXXe5vFy6/0vzlpvtrsOK72jJXY+2v4RbfQDeB\nDFV8nvjfdHV78t27+vKhjm/Qk8j8+fPJzc29aHjvvffOe51Op0On0112O+3t7dx222389re/JTQ0\ndFDKOpx3dFVVlUtlu5LhdpDtPe2L8fVe7k3xuXMQGqr4PHWQ7W98w/nY0m+qB40fP16tr69XVVVV\n6+rq1PHjx1/ydTabTV2wYIH63HPPXXF7GRkZKiCDDDLIIIOLQ0ZGRr+O4x69TmT16tXExMSwZs0a\n1q1bh8lkuqhzXVVVli1bRkxMDM8995yHSiqEEOJSPJpEWlpaWLx4MdXV1aSmpvLGG28QGRlJXV0d\nK1asYNOmTXz66ad86UtfYtKkSeeau9auXctNN93kqWILIYQ4y6euWBdCCDG05Ip1IYQQbpMkIoQQ\nwm0+n0Teffdd7rnnHpYsWcKHH37o6eIMuMrKSu6++24WLVrk6aIMqI6ODpYtW8Y999zDq6++6uni\nDDhf3W/dfPl7V1payve+9z0WL17Mn//8Z08XZ1B0dHQwffp0Nm3adPUX9+vcLi/S2tqq3nXXXZ4u\nxqC57bbbPF2EAfXKK6+o//jHP1RVVdXbb7/dw6UZPL623y7ky987p9OpLlq0yNPFGBS/+MUv1Gef\nffbcd/BKvKYmcueddxIfH09ubu55y7ds2UJWVhbjxo3j6aefvuz6Tz75JPfff/9gF9Nt/Y3PG/Ql\nxtraWpKTkwEwGAxDXlZ3+Po+dCe+4f6969bX2P7+97/zla98hSVLlgx1Ud3Sl/g+/PBDJkyYQGxs\nrGsbH4KkNiA+/vhjdf/+/erEiRPPLXM4HGpGRoZaWVmp2mw2dfLkyWpxcbH6yiuvqA8++KBaW1ur\nKoqirl69Wt26dasHS3917sbXzRt+0fYlxo0bN577FbRkyRJPFblP+hJfN2/Yb936Ep+3fO+6ubPv\nVFVVFy5cONRFdUtf4vvpT3+qPvjgg+qCBQvUr33ta6qiKFfctnGgM95g+eIXv3jRrQf27NnD2LFj\nSU1NBWDJkiW8++67PPLII3znO98B4Pnnn2fbtm2YzWbKy8u59957h7jkrnE3vpaWFn7yk59w8OBB\nnn76adasWTPEJXddX2JctWoV999/P5s2bWLhwoVDX1g39CW++Ph4r9lv3foS39atW73ie9etL7E1\nNjby1ltv0dXVxbx584a+sG7oS3xPPvkkAC+//DKxsbFXvB0VgNckkUvp3eQBMGbMGAoLC897zapV\nq1i1atVQF21AuBJfdHQ0L7744lAXbcBcLsbg4GA2bNjgwZINjMvF5+37rdvl4nvhhRd44IEHPFiy\n/rtcbHPmzGHOnDkeLNnAuNrxpfsO61fjNX0il3K1DOntfD0+8P0YJT7v5cuxwcDF59VJJCkpiZqa\nmnPzNTU1jBkzxoMlGli+Hh/4fowSn/fy5dhg4OLz6iSSn5/PsWPHqKqqwmaz8frrr3tN+7krfD0+\n8P0YJT7v5cuxwQDGN9hnBQyUJUuWqImJiaq/v786ZswYdcOGDaqqqurmzZvVzMxMNSMjQ33qqac8\nXEr3+Xp8qur7MUp83hufL8emqoMbn9yAUQghhNu8ujlLCCGEZ0kSEUII4TZJIkIIIdwmSUQIIYTb\nJIkIIYRwmyQRIYQQbpMkIoQQwm2SRIQQQrhNkogQQ2Dfvn1s376dZ555xtNFEWJASRIRYgjs27eP\nmTNncvr0adrb2z1dHCEGjFc/T0QIb7Fy5UqcTicOh4PQ0FBPF0eIASP3zhJiEG3cuJHNmzdz5513\ncvr0aebPn09ERAR+fn6eLpoQA0Kas4QYRBaLhddee426ujq2bt3Ko48+il4vXzvhO6QmIsQguuuu\nu3j44YfJysrydFGEGBTyk0iIQfLBBx8wduxYHnroIU8XRYhBI0lEiEFQXl7O3r17efTRRzlx4oSn\niyPEoJEkIsQg2LBhA0uXLgUgLS3Nw6URYvBIEhFiEFgsFpKSkmhpaWHs2LGeLo4Qg0Y61oUYBGVl\nZXz00Ue0trayYsUKYmJiPF0kIQaFJBEhhBBuk+YsIYQQbpMkIoQQwm2SRIQQQrhNkogQQgi3SRIR\nQgjhNkkiQggh3CZJRAghhNskiQghhHCbJBEhhBBu+/+EjtupwHa/XAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "testerror = []\n", "trainerror = []\n", "min_err = None\n", "for i, theta in enumerate(thetas):\n", " yhatstest = ybar + dot((Xtest - Xbar) / Xstd, theta)\n", " yhatstrain = ybar + dot(Xtrain, theta)\n", " trainerror.append(norm((ytrain + ybar) - yhatstrain, ord=2) / norm(ytrain + ybar, ord=2))\n", " testerror.append(norm(ytest - yhatstest, ord=2) / norm(ytest ,ord=2))\n", " max_err = max((trainerror[-1], testerror[-1]))\n", " if min_err == None or max_err < min_err:\n", " min_err = max_err\n", " best_delta = d2range[i]\n", "print(\"best delta:\", best_delta)\n", "figure(figsize=(7,7))\n", "xscale('log')\n", "grid()\n", "xlabel(r'$\\delta^2$'); ylabel('error')\n", "plot(d2range, trainerror, '-bo', linewidth=2)\n", "plot(d2range, testerror, '-g^', linewidth=2)\n", "legend([\"Train\", \"Test\"])\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "('best delta:', 13.538761800225432)\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAcYAAAHACAYAAAA4O8g0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 7 } ], "metadata": {} } ] }