{ "metadata": { "name": "", "signature": "sha256:059ef4c2078b6a9c043b2ad08e1aba7e13bdba03b79de10551d45a583bd79e28" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "\\newcommand{\\dprod}[2]{{\\langle #1, #2 \\rangle}}\n", "\\newcommand{\\argmax} [1] {{\\underset{#1}{\\mathrm{argmax}~}}}\n", "\\newcommand{\\argmin} [1] {{\\underset{#1}{\\mathrm{argmin}~}}}\n", "\\renewcommand{\\min} [1] {{\\underset{#1}{\\mathrm{min}~}}}\n", "\\renewcommand{\\v}[1]{\\mathbf{#1}}\n", "$$" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "%load_ext autoreload\n", "%autoreload\n", "import numpy as np\n", "import matplotlib.pyplot as pl\n", "import util\n", "\n", "from scipy.stats import itemfreq\n", "from scipy.stats import bernoulli\n", "from scipy.stats import multivariate_normal as mvnorm\n", "\n", "import sklearn\n", "import scipy\n", "import matplotlib\n", "print(\"SKLEARN\",sklearn.__version__)\n", "print (\"SCIPY\",scipy.version.full_version)\n", "print(\"NUMPY\",np.__version__)\n", "print(\"MATPLOTLIB\",matplotlib.__version__)\n", "\n", "X, Y = util.load_data() # passenger_class, is_female, sibsp, parch, fare, embarked (categorical 0-3)\n", "X_demean = X - np.mean(X, axis=0)\n", "X_unitsd = X_demean/(np.std(X_demean,axis=0))\n", "X_whiten = np.dot(X_demean, util.whitening_matrix(X_demean))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n", "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n", "SKLEARN 0.15.2\n", "SCIPY 0.14.1\n", "NUMPY 1.8.2\n", "MATPLOTLIB 1.3.1\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING: pylab import has clobbered these variables: ['f', 'logistic']\n", "`%matplotlib` prevents importing * from pylab and numpy\n" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classification\n", "Classification models learn a mapping $h(\\boldsymbol{X})$ from a feature space $\\boldsymbol{X}$ to a finite set of labels $\\boldsymbol{Y}$\n", "\n", "In this lab we will focus for simplicity on binary classification, where the labels are assumed to be in $\\{-1,1\\}$ or alternatively $\\{0,1\\}$. \n", "\n", "\n", "We will use simple generated datasets and a real data set on the sinking of the Titanic to explore some different classification algorithms. For a description of the variables and more information on the data see: https://www.kaggle.com/c/titanic-gettingStarted/data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One approach to learning a classification function $h(\\boldsymbol{X})$ is to model $P(y|\\boldsymbol{x})$ and convert that to a classification by setting:\n", "\\begin{equation}h(\\boldsymbol{X}) = \\begin{cases} 1 & \\text{if }P(y|\\boldsymbol{x}) > \\frac{1}{2}\\\\ 0 & \\text{otherwise}\\end{cases}\n", "\\end{equation}\n", "\n", "\n", "Example: Suppose we want to build a model to predict the probability of survival on the Titanic based on just two categorical features, a persons class (1,2 or 3) and their sex (1=female,0=male). An obvious approach would be to create a category for each combination of our features (female 1st, female 2nd ... male 3rd) and calculate the proportion who survived in each as an estimate for the survival probability $P(y|\\boldsymbol{x})$. For each observation in our test data - we simply look up the survival rate in the corresponding category.\n", "\n", "This corresponds to maximum likelihood estimation: $\\hat{\\theta} = argmax_{\\theta'}P(data|\\theta')$, where the parameters, $\\theta$, we want to estimate are the true probabilities $P(y|\\boldsymbol{x})$ for each combination of $\\boldsymbol{x}$ and $data$ is the set features and labels we have observed." ] }, { "cell_type": "code", "collapsed": false, "input": [ "combinations = [(i,j) for i in [1,2,3] for j in [0,1]]\n", "for c in combinations:\n", " match = np.where((X[:,0] == c[0]) * (X[:,1] == c[1]))[0]\n", " print(c,sum(Y[match])/float(len(match)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1, 0) 0.38961038961\n", "(1, 1) 0.984615384615\n", "(2, 0) 0.178082191781\n", "(2, 1) 0.912280701754\n", "(3, 0) 0.142180094787\n", "(3, 1) 0.458333333333\n" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Question: Why will this approach not work in general? What happens as we increase the number of features or the number of values each feature can take? What about if features are continuous?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Naive Bayes\n", "\n", "\n", "Following Bayes Rule, we can write:\n", "\n", "$P(y|\\boldsymbol{x}) \\propto P(y)P(\\boldsymbol{x}|y) = P(y)P(x_1,x_2...x_D|y) $\n", "\n", "It easy to estimate $P(y)$ as just the proportions of each class in the training data. We could also directly estimate $P(x_1,x_2...x_D|y)$ for each $y$ (for example with kernel density estimation) but as the number of features $D$ gets large this estimation suffers the curse of dimensionality.\n", "\n", "Naive Bayes assumes that the data was generated by a model where all the features are independent of one-another given the class label so that we can estimate $P(x_j|y)$ separately for each feature.\n", "\n", "\\begin{equation}\n", "P(y|\\boldsymbol{x}) \\propto P(y)\\prod_{j=1}^D P(x_j|y)\n", "\\end{equation}\n", "\n", "The normalisation constant can be obtained;\n", "\n", "\\begin{equation}\n", "P(y|\\boldsymbol{x}) = \\frac{P(y)\\prod_{j=1}^D P(x_j|y)}{P(\\boldsymbol{x})},\n", "\\end{equation}\n", "where,\n", "\\begin{equation}\n", "P(\\boldsymbol{x}) = P(y=0)\\prod_{j=1}^D P(x_j|y=0) + P(y=1)\\prod_{j=1}^D P(x_j|y=1),\n", "\\end{equation}\n", "this operation is called [marginalisation](http://en.wikipedia.org/wiki/Marginal_distribution), since we marginalise (or sum/integrate out) $y$ from the joint distribution (top line) $P(y, \\mathbf{x}) = P(y)P(\\mathbf{x}|y)$ to obtain a distribution over $\\mathbf{x}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Implement a Naive Bayes model for the Titanic data set using passenger_class and is_female as features*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# a function that may be useful\n", "def proportions(array):\n", " \"\"\" returns an map from each unique value in the input array to the proportion of times that value occures \"\"\"\n", " prop = itemfreq(array)\n", " prop[:,1] = prop[:,1]/sum(prop,axis=0)[1]\n", " return dict(prop)\n", "\n", "class Naive_Bayes:\n", " def train(self,X,Y):\n", " \"\"\" trains the model with features X and labels Y \"\"\"\n", " # 1) Estimate P(Y=1)\n", " self.py = sum(Y)/float(len(Y))\n", "\n", " # 2) For each feature, x, estimate P(x|y=1) and P(x|y=0)\n", " survived = X[np.where(Y==1)[0],:] # the features of those who survived\n", " died = X[np.where(Y==0)[0],:] # the features for those who died\n", "\n", " # estimate P(gender|survived) - return a map from gender value to probability\n", " self.gs = proportions(survived[:,1])\n", "\n", " # estimate P(class|survived) - return a map from class to probability\n", " self.cs = proportions(survived[:,0]) \n", "\n", " # estimate P(gender|died)-return a map from gender value to probability\n", " self.gd = proportions(died[:,1])\n", "\n", " # estimate P(class|died) - return a map from class to probability\n", " self.cd = proportions(died[:,0])\n", " \n", " def predict(self,sex,p_class):\n", " \"\"\" outputs the probability of survival for a given class and gender \"\"\"\n", " # caclulate unormalized P(y = 1|sex,p_class) as P(y=1)P(sex|y=1)P(p_class|y=1) \n", " ps = self.py*self.gs[sex]*self.cs[p_class]\n", "\n", " # calculate unormalized P(y = 0|sex,p_class) as P(y=0)P(sex|y=0)P(p_class|y=0)\n", " pd = (1-self.py)*self.gd[sex]*self.cd[p_class]\n", "\n", " # calculates the survival ratio as ps/pd and the normalized probability from the ratio\n", " r = ps/pd\n", " psn = r/(1+r)\n", " # Or alternatively: psn = ps / (ps + pd) \n", " return psn\n", "\n", "# run the model\n", "model = Naive_Bayes()\n", "model.train(X,Y)\n", "for p_class,sex in combinations:\n", " print((p_class,sex),model.predict(sex,p_class))\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1, 0) 0.424333952192\n", "(1, 1) 0.889163490822\n", "(2, 0) 0.273467443321\n", "(2, 1) 0.803786624851\n", "(3, 0) 0.106778873609\n", "(3, 1) 0.565412381535\n" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Compare these predictions with those just based on the proportion of survivals. How true is the Naive Bayes assumption for this case?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Question: How does the number of parameters to be learnt scale with the number of features for Naive Bayes?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exersise: Run Naive Bayes from Sci-Kit Learn using the same features*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.preprocessing import OneHotEncoder\n", "from sklearn.naive_bayes import MultinomialNB\n", "\n", "# Sklearn doesn't have a model that expects categorical data. \n", "# We need to first encode our (p_class, sex) to (is_first,is_second,is_third,is_female,is_male)\n", "\n", "# use preprocessing.OneHotEncoder to create a new dataset X2 that is the transformation of the first 2 columns of X\n", "\n", "nb_enc = OneHotEncoder()\n", "X2 = nb_enc.fit(X[:,0:2]).transform(X[:,0:2]).toarray()\n", "\n", "# fit a Multinommial Naive Bayes Model\n", "\n", "nb = MultinomialNB()\n", "nb.fit(X2,Y)\n", "\n", "# transforms our combinations to the one-hot encoding\n", "c = nb_enc.transform(np.asarray(combinations)).toarray()\n", "\n", "# gets predictions for each combination\n", "predictions = nb.predict_proba(c)\n", "\n", "# prints your predictions in the same format as previous models\n", "for i in range(len(c)):\n", " print(combinations[i],predictions[i][1])\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1, 0) 0.42266307097\n", "(1, 1) 0.886389226883\n", "(2, 0) 0.274102383273\n", "(2, 1) 0.800962556238\n", "(3, 0) 0.107960953587\n", "(3, 1) 0.563280897519\n" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Naive Bayes can also handle continuous features. The data below is generated by a gaussian mixture model. For each class there is a separate 2-dimensional gaussian distribution over the features x1,x2. \n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Generates some data from a Gaussian Mixture Model. \n", "mean0 = [-1,-1] # the mean of the gaussian for class 0 \n", "mean1 = [1,1] # the mean of the gaussian for class 1\n", "cov0 = [[.5, .28], [.28, .5]] # the covariance matrix for class 0\n", "cov1 = [[1, -.8], [-.8, 1]] # the covariance matrix for class 1\n", "mixture = util.GaussianMixture(mean0,cov0,mean1,cov1)\n", "mX,mY = mixture.sample(500,0.5,plot=True)\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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CaTOO84PmP/DeXUby5uiMu0Jnafoybjz4AHp5I8Zr1DLl5kfqwG7r/KAyto0a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\nhszMTJ/75uXlMeXaa/nLSy8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YjMraqUCydYSIJg6HqmvxzEMPUd/UxJEDBxiNmspZnZpK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mvIJ4HdtFLHFfT+k+Qihj20cx+wCbH+0M5Y3mM0VnbhoYHLTvuZq5wK1NbkKp8VMrAVWIiYZyZy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csZqcnBxsNhsGw9lLsToVnE4n9333u+x65x0O9faSW17O2sWLT9u/prKykoNLl/Lnp57iqmCQ\nQ5KEz26nKC2NQqBHltFqNGiBUrudP7a2Yr3uzJtBX6yoYo6KiorKxYRrgHLPMDazDV973XEX02ol\nklL16LrGp+VlgiYPYgrkJawnKlNkbqSPiQH8xYTQ0EoxsJl60ulgDt5352cgkg40QOmETMEsM2jz\nIfxFyM0Yn/7ivDXHtM10eSl9RRlobSYh5Gz+qDDnuXoFBP2k736dnMFRmiylBFOvPsUTpKKicm7w\nIIz8yxCG1scTcyTED3wiyYiUqQDjLinZiCiYiVejXEQ61irgLaCB8epVINKgQogr0kS3laREu/wI\n/5zjUYzwxRmLFAIRwTMfIRI1IqKPOhDRPecP5xyF+sPpU8Scqn+GAz89T41SUTlDpKSk8OCDd/HM\nMxs4fPhlystt5ObGcbtfJxSaSSzWRkbGYUKhleze/Txa7Z1YrQXIcgxZNuP3/5pIZDvQT1KSBoOh\nkXh8BibTPxGNvomirMbvb0SWfUSjpUiSgqJsJBJxEI/vwWbL4p57bqa0tJQ5c+ZM28ZIJEokEmXf\nvleIx9dgtX4IRRnF7X6b0dFhQqE2zOZFpKSE0WjCxGJhDIYlNDe/zsyZMebP/9hxj19RFF544TVe\neKEeRSlDkprIz3+T++//9AUj5oD4ntasXXtGt6nVarnrC19A73DQ9rvfUV1cTHlGBiMjI0T1etwW\nC7s8HsotFrrDYd6KxXjgyivPaBsuZlQxR0VFReVCYWJUjhyG2Cjo00R0ysOJ6clOmmzJWII+Lrut\nDchAURRCnYPcGf8TcpEZjUaEytxYu37KLnIsUyYx2YnBkJjmB0qIMXuCkBNBJDkowPUfHo/KGcP5\nb8d+nizkPMIXkLRgyhV548eUIjeaIRIi9elRsnTJ9IV7CE5urBqVo6JyjokhImnsHBudYkekP+3m\nWMFkLNIlmxNHs6QytRz45KuRNrENL6Kq1rwJ8+KIyKBIYjuTu7R2popIk5GYXuwZGzzJCFFoJ+I8\nnD+ccxR+X38Dt3NYLU+u8oEkNzeXu+76MM3NzRiNO9LMVwAAIABJREFURkpKSmhubqa7e4Ds7DLs\n9mq+/e2nCYXSSEkR4rHPN8DMmVWYzTeQnx+jq8tFWpqFvLyVNDdfRihk5513uolEWoBKYjEJnS5O\nNLoXjUaLXj+KxaLQ0ODjvvv+mxUrFnLrrR/iqqtWTKnoVFk5G5frP5Dl+cTjO3G7MwEjTudMRkZe\nIjm5G4uln3nz1rBp024OHWpAUUZwOF7kO995iLy841cG7Ojo4Pnnm8jL+xI6nTExbSN///tGPvGJ\nD346kUaj4aabb+bRujr2d3VR4fXSGQjwkk7H55cupcXlYvPgICGdjpIbb6SiouJ8N/mCQRVzVFRU\nVC405BgMboGoSUT5py0fn2exMbz64wzLcebkv4hraxuemj7mjPZB0iB9q1PJrRx3+I9G4VCzDq1W\nZs6zMloNyAoMBGE0CgXTVAe3IZ6xB4DJjjUexPPr1YvgxTYYyoIFTjBqgQcSzZehvgkiEYiWy+iN\np2DcaUuhLWkRQ+E2RpIm5YirQo6KynngACIdqRURnTKW+qhHVCSLIlKZmhAeNHqE8NKMSJ8aQ0ZY\np8cRaVRjZsMuhFjkRFx9JmJEpGG5mep340/8XQo8zbivzWTFuoPxCKBp1OzjYkBECu3l5MLUGWYa\nE+S0coX6Zz+YJsgqKgCbN2/j97/fiixXIEkBHI43+cY3PsGCBcL8V1EUrroqn/37t6IobUhSGK22\nj0jEQnt7PVVV1Xz+87dRXl7Ok08+x44d9bhce4nHm5BlJ7HYPDQaPXq9hVhsCLM5m0Cgn3C4DL2+\nAperHqfTyuOPH6Cjo4143ExWVjLLli0iLS2NnJwcrriikM2bnyEctiPL69BoipDlHoqLW/j973/M\nz362kY0bN+H1FgI7CQR+hM83whtvLGfNmuNHkzQ2tgBV7wo5AJmZ1eza9Sif+MRZPvEXCCaTic9+\n61ts37yZTYcO4ViyhHvvvJNdzzxDaXo6Oenp9Kam8on775+2dPqliirmqKioqFxoyCFhPKOvgtDm\nhOGxAsN9YLLAqAs8HgJFA3hqjcRGi5HbGjDOA0/k2Ap1h5p1bK1ZhKzEMPl2k2uBNztg61EHNttM\nqhwN3Hinl61/ObYJDsSwyo14tj3WvSi5Dl5pgl/2wjI7GEehwwKlEx6Ad/SBZx8055czvM9D8dIU\n4ASlyCfyXYlo8iJGjikUq6Kicn6II6JsFiIicKIIMWcw8TeKEGOSEHWJyoFahGgSmLStXkR0ixlh\nclwM7EOIRKWIdKpFTI3OsSPSuYYT7RlToP2INKhdCKEmC+hCRNKMMYSQoDMR4tKpurMUMe7fc35J\nL1cYOnK+W6GicnZwu9384Q9byMz8EkajeCDV31/Lk0++zDe/+TkAJEniC1+4h56eQXbseBOncyn1\n9XE6Oo5QXLycgYHl/PjHL/Mv/2IiFPJy5EgrTudXkKQAkUiQWOzHSJIDUNBqlxIM7kKW56HRZKLX\nryAa7aKh4UlGR2UaGtJZsuQWQqGjvP7643znO3eTnZ2NJIEkleNwPEgk8iqh0EECgS7M5iDRaBSP\n5yADA69jsazEYBghI+MH9Pf/N9u31+Hz+bDZpjcUtNksiGvgOOGwh+TkUxGgL36sVitXX389XH/9\nu9OWLF1KU1MTBoOB28rKLqi0swsBVeJXUVFRuRCYmGKls4E9C5Rd4KiA70pQfwDe6YBX3oQth5ij\nHMFTM4LGNIo2KULrshI8S1LIqTy2o6DTychKDEmKoZXgaAjSwzAXHeFIhLA8jcFwgsOI4VgdYgi2\n7E5oGob5WhPBkIUX3AVsDhiw63k3KsflgQM18Pd4EcGYgtYkbjPvSch5GIgOox/dBZGBY+epUTkq\nKucBLcK3ZjcilcmEiK4ZQETiHEAIJe0IYceTWMfNsd42ILqcMURalAYRjWMDFiOuNGNlyaejHiEa\njVW+AiEOLQBSENE32zg28iaAEHDaEELT8a910+NDiEXnt2B25CtCKU8rFRWt4nH1ibTKB4+2tjYU\npeRdIQcgM3Muhw8PEA6PV7mSJIkHH/wyd9+djMv1P/h865gzx0519d04nbMxGK7h5ZffYd++PhYt\n+gTBYBM+XxSNZi4m060kJd2IRnMNsryHeHw34lpUTCjUgiSF8PszGRyMk5R0LRkZcygoWE0ksoo/\n/ekFOjo6eOutfZhMc/F4fo3PZycW+xRwAzU1R7nttp/R2Lgcg+EfkCQTTucV5OXdh0aThNsdRJbl\n4x5/VdVckpMb6e+vQZbj+P1HGRp6mY98ZPHZO+kXCXa7ncsuu4y5c+eqQs40qJE5KioqKhcilkLQ\nW8GQDV4XDA6CbhYE/RAfQo6HQYqTavcQzQ5x/zUH0emSp2ymtEAGZTcmI6Q1CYeIJgvI8iDz7W6u\nyooCQqiZGJ2jIIZmRUB6NVQXi+keSce2YC4Ho0ZmWQtwaaNkPdz37nqHakB2zsYej+BalExJVRK/\nCn4aCKM1n6TigSLjHHqJSiVCo/8APVmfBM3pVUlQUVE5XZyIAU8qQuAYQaRReRCizpgBsQYh4qxA\nRN9MJgMhsGgRsX+GxOd+xJWpguMLLsHE/EhifxZExNAQ4mn24sR2JvrfdCCifyyJdlYjrmpR3lu6\nVQMi4bQLEQ2UdOLFzzL/FXoAi/O/6Oq0U1Q8el7boqJyprFarSiK+5hpkYgPs1mLTnfscNVisXDP\nPbchSbBlSyG5uSKSV5bjxGIh3nxzE+3tMunpMdLSNPT0XE4stpVYTI9Ol4fB0I9Ot51AIBmdbi6y\nXIBWa0GjaSQa7UCWnRQWimtJOOyluXkHW7fWsG5dI42N3QSDm5Hl25CkqzAazYRCZmKx/bhcMwmH\n7ShKFgbDVbhcvyE11U0sFiQnx4rdbkdRFPbvr2Hjxv2EwzGWLxepqDabjQce+ARPPfU6Bw++QFpa\nEp///FIWL64+B2f/4sHlcnGgpoZoJEL5nDkn9CG6VFDFHBUVFZULDTlM5uDfKI77OKyAZ+NsiHnA\nUQ8zssA5m7SK59Ad9jPfE6B/YBTPYJTU7HHh48ba9fQehb/8DjQRSC2DvA7QWeHKfDH0MmiFkBOX\nQasRgs5ECnzQ5oLCJLAm7haL0+N0BBSyg0PkKR5Srxg8Zp19Cxdh3u9ByjSQU27BMxSm448HQNKR\nc2cRpmzH8aNykJAlLYocI44eo3srltgwrncXiiIGbFamGqeqqKiceRTgICKF6R1EFEwMESmTDixB\npDvZEAKPFyGw5E/ajhd4BSH46BFpUTFE2pPEuOFwnOkFnWKEuGJDCEEgIn+aEu89CHFn4rpGhPAk\nAzMS83ck9lc6TRsnIyXaqCBSwaIT5sURpdT1iMiks8B0vjmlCs0NaaqYo/KBY+bMmRQUvE5n59vk\n5FxONOqnt/cl7rjjMrTa6UXeysoZbNhwCEWpxu1uZ/fu52hqOoxGo2AyRfD5+untHSYWKwXuAf6d\neDyAzWYkKSkVRVnNyMgbBINDRKMWotFGDIZt5OffQkGBuD7U1j5Pd3caaWl3EwymkpFxE62tDyLL\nEpIUIhC4HuhCkmSCQYVIxEw8HgX+GY1Goq/vSbTaQe699yF6e3t58cVX2bjRRVbWTWi1Bn77263v\nHk9OTg5f//pnUBRF9YSZhqamJv72k59QFYlgBNYpCpd96lOsuMQrW6lijorKcfEhOn+piE6dispZ\nYmKKFYASwyIHsGmtmOa14NGtBXkYypMhV6QuJFXkMdp+lP6OQTzJVoyWqVmzB47A7FHI0sG6PXDn\nXfDmn4Udj1kHkRi82AnxMMzPhrKUY9cvsInXRMqSFT4zs5VdJnBeCVLhpHUuT2Ek34R+JM62v2pY\n31ZIUWsPYYMBz2wdbzV9durxP5z4K0kMp61lc6gDWdJS5d5MRlM/GxKzLexnHu30oaOdazjfT8pV\nVD74yAjhwonwwslGiCSjCLPhMQ4gIlhg+hLl7Yh0rUXAY8AtiXWCCIFIQYhFwcT65ZPWT0u8JpKZ\naEss0a4UjhVzihFRO16gJdE+OyJCqJGTiznliFSuVETE0cTS5C2JfY0gBKoTlT8/c6SWKDzaehtX\n85/nZH+TCSNksxTOqR20yiWAVqvl61//FM888xo7dvwnVquJT36ymquvXnncdaqqqqiuPsCuXY+y\nb98RIpFVaDRlzJp1DS7XOvr6fkEksoxotBWtNozB8GFkuQCv9xUURY/VCsHgQeLxdiRJRlFaMRq1\nGI2HOXLkCczmXHbseA64m2DQjcFgJjt7Cd3dZQSDLyDLPuAfSE29jGDwBfR6O8XFa3G7u/B6GwmH\nX8JgsJCebqW2tolXXull1y4Xer0ZqKeiYi12ex7wCb7xjW9gtQo/sFWrVrFq1apzcNYvHhRF4ZXH\nH+d2k4ni7GwAFkUi/OrPf2Z+dTV2+8kqF14cbNq0iU2bNk2ctArYNN2yY6hijorKtHjIYwPJRGhg\nHrFjKnJcDASAI4hOeDknL8+qckGhtdLuuJrBYBu+Dy+GtmZIN4JzDgDXr3iOQG07Wa399CsKyjVV\n6PSNhINxjObxwUzZLHjOCodCsHA1rHdDbqoQcgA2DBg43JNJlSFInXZoiphzPHK/C2uC0HcUdh82\n0vA3LTesDLB99Rq0gLPAzO6/e9m2bw2xnkbs9m40WhN9GWXjBWiOhz4FWZ8CMR9HtbuJE3p3lo4w\nJvSYiHO+ywSrqFwaaBFRLc2INKcxg86J98QexO9xBJGYmYS4B01MZcpDuHB1IUSWrYgom7F7Uz1C\nMFmMEI1m8d66qCmIalaDidcGRLRPFuIhTCZCeLEm9udD1ON7L0KwJdGOKOK4GybMiyW2EePYiJ2z\nS2qpwkjT+Xm4NFYI3o6oWXbZeWnF+0dG/Ad6EXJh7vltjso0JCcn89nPfpzPTvPMx+/3s2PHbtrb\nBykuzmDJkmqsVitf/vInKSx8iYGBUZKSZtLaqkGvN+JwrKWt7TGMxgzi8X70+gjhcAta7XaSk6Ok\np99Nf/+TSNI9pKd/mNHRHciyFq32NUZHZ2A07qKlZQSzOZu8vGsJBIJ0dzcSDm9Dry/GbO7D6+0j\nHs/F59uGybQXgyGFeHw+Ltch0tMHqK7+J0pLr+ZXvyplw4YRVq/+OmbzQZKSFtLQ8DhOZx0ZGaJK\n37333svs2RfbWOPc4fV6ifb3U1Qw/rDAZjBQKMt0dXUxZ86c89i6M8dkIe+73/3uppOto4o5KirT\nEiCDMA6MdDKMd5r5ouOaxvTeAOebASAH8dSyF1XMufhQLCX4LCWJYioVU+Zr+kYosBixSRJNA6Ns\nel2PpJFZclOEZKeBF+et4UbW8w/3i1LhtrECMM3iT0yGQyMGGiN23HKcj0xfYGEqCaNjqxkaOsw8\n/sJ1jHol/q/hMNdJPmYvEwO4/ZEKspQmLOkj9F1ZhnFGJtvc/9/Ux7kPH2c/Ohv99cX0kwX8GAAP\nC9hOE2EcjKdaqKionF0yOXEqkQ8R5ZKJSLGqRUSr5CIiZkD8Xm9GCB+TLzYKInIngDAxTubUuqfG\nRBvciAvMb4E1CFFHi/DZGTMeNSf2XzJ1M8dFD8xP7GOMGQhjZT1CODo3pJYotL4uojA9PzJgfyBy\nzvY9JlmVIJLVJifEjUleNsQ3eKExlph2OcLOWxVzLh68Xi///u+/pa9vFlbrbLZsaWXDhsd46KHP\nYbPZmDVrFnl5PtLTZ9DaWossxwkEjqDTzUCnM2E03k5SkoPR0SYk6a84nTeSnm7F603H79cyMvIy\nspyHwVBOONxFLBbDbK7GavWzYEE63d07sNtXYDSmMzj4MmlpWjIzv4TL9SIazesMD3ewcOFHKSyc\nz+7dfyUpqYOrr/5X3O42fvGLGfh8A9TU/B6X6wgWy/20tnYQDObx1luvsXq16Mvk5OSc57N8YWMy\nmYgZjfijUWwJE2RFURiUZZKTL8QrzrlDFXNUVKbFSR0lmPDgpXLSvBhpvEUJXupJwc21XHhpWMmI\nUbsWIeqoXPAEO0kKHMJrLgfLjJMurqmexYFNh5ALncQjWqLhAiLBCCN9TSQ7x93+LZO1xgfA+33o\nCUCVxkdOSitec4QrszkxD0ydJEkx3KMaeqImotuWIkkSQ137WR+4FUk/QlLlEObsIgy3LGH9rjum\n1k98+AT7e2snYuA18QBshFhwkoaqqKicHsOIaJskRBTNychDRK1oEL9XO+KeOMK4mANCdJlsaB5M\n7M+RWLYeuOJ9tHmsOpYJ4eUTAzYm3kcR0kMKMI+pYtJ7YXLbTXAOI3YjX7Fj+B8PqSXTR+ZU/TMc\n+OnZbcPYmd2PiGyZ7GLSgIhl6kWcmfdzls8mVoRcWIv6eOtCJxgM4nK5cDgcmM1mtmzZQX9/OcXF\nY+WqK2lvf5k33niToqJ8NBoNVmsn4XA/paXp1NfvxeV6A5OpAL2+Hp2um1BoJorSiE7Xh15voqJi\nBgMDDiQpiNk8j3g8C63WSTDoQpaTMBjs9PX1Eo3Owe1+G49nC8nJZny+58nKup+MjDgrVvwDDoeD\n/fv/nYICN0bjHm6+OYP29tVkZy8gO3sBs2d/lC1bfs3ISApXXHEdr7++h3C4B0UJ4fWGeOON7wFc\n8oLEyTAYDFx2ww2se+op1jidGHU6tvb3Y1u4kNzcS1uaVcUcFZVp0RKmmvC082QsBLBhwYwfNzKn\nXvL0bJMKVCKeeFpPsqzKeWX1ElDi5LheZ45kpD70Bl2mT5+0ipMh3Q63fQgApeMo0Sc2kRJTiCxO\n5kTfec8A1JVB23NQ502mUB9mdUGcE3rtTSPkAAQ+dwUVvjYiGzTEY5cTi0R4saGapMpFREeaiN1a\ngjkvjde23j515YdPeHgqKirnjVZESlUTwiHlZENfK+N+Mm7gNYQQdDKT8lGEBOBBPHzIQ5gavx83\nllmJbTUm3hsQItGViPQrObH9i7vb6ygGTzdEIhoMhuOXOT5bFHN8eS+MiM/yJ95faGKOAVHIPojq\ntnahoigKGza8zbp1O4jHHWi1Lm6//XLq63ux25e/u9zQ0BA1NS42bvwj5eUfJivLhs0WBv6E1ZpG\ndnYbVmsTHo+B+fO/jdUqUVu7g/r6Nmw2O9XV2VgsMaxWPxbLTsBGNOohFtuD0diDTreGzs4D+P2H\nsNnuQK//HC5XDUlJm1m7diFWq5Pc3CqGh4fZsWMjWm0PX//6N5gxYwaDg4N861u/x+8fxGp1Eo9H\nsVgCSFIP9fV5JCVVYbONMjLyPBUVVZjNM2hu/s15O+cXE1ddfz3bk5L42/r1REMhym+9lTuvvfaS\nN4u+uO9qKirnBQNdLMVNB15mcuEJOWO8l9KrKhcGGgLaZEajQ/j1KSAlLs0Pv8e1dVqWVGnItWmo\n95zYS2Z4SGRuDc02k+ksJb4jRIbl4NQFjyPgjLGu9CqGOkOs+qSNJR+NcWDDbnY4VpM1OxP3jt0Y\nssCUPWt6IedkvLXz1NdRUVE5Q+gRqboRxqtMvVc0CJ+2uYhklhMxiogcTUIIQsm8v7TlKKKy1CKE\nk8shRFTQcoTLC4n2XIRd3kkVrX7ie4Ck3P+iqyOZmSWuE6x47pmF8NKxMNWq+kJBj2rcfCFz5MgR\nnnzyMHl5X8FgsBEOe3niid+TnX2UI0fAZPIyNDRKT4+f0dEunM47OXr0cmTZS3HxHEpK6igoSGXd\nOhd5eQ8wNNTItm3fJRRy4Pf70Ou9JCXZ2bv3IVatWsg//uMq/u//6hga2klPz2EUJYmUlOsIBN4m\nGNyD3V5Eff0/A4UYjTq83ha02lJycvaxZctLdHXFMZslystX8/3v/41//Mc1VFXN5ctfvobf/e5x\nhocdgJvbbptBUdHlPPTQYwQCBaSkpHLttZ8lK2suAwMHTnZaVBJoNBqWrVjBshUrzndTLiguwjub\nisqFQB5e8s53I1Q+KEgS7vQb2BUZAIMTpFMTCI1ZKQQqbRwejJB9+Xio7uNpK1ixfzNFOaBLXO0L\nC2BPD8izgtiUHnI/6ce5ghOO2UZGYf9OMJhh0WJYv3gNbS8Nkt0eoM+opfDOLDq/9OV3E/qSKqJI\nOi2vvXPb9Bt8+AQHowo5KirnmTmIaJbZiOSaUyEJMZzfjyg/PsYwwnp2rBoWiKpShxHCC4gHI5PK\n401hzNwfhGhkRUQQmRGCTiHCL2eMfITAdKE+dDl1UooV2ttSLjgxJxkhmamovF/eeecAVutyDAYR\n1yVJEkeODHD4cJT29jeIRIaRJAuKIhGNHiAl5W6s1jyGh2soLc1j//7XqKvrZcaMr2E02snIqKSp\n6QhDQybKyj6FyZSFx/MceXlBZswwcccdH6e29hd0dBSg1drwes34fNtxOJrweFIJha4kFgugKEPI\n8m60Wg0eTzFOpw6vtx2TKZ/k5HxSUmaSlLSMP/zhKX784zksXDifysoKBgYGSEpKIiVFVJf45jfd\n/OQnW5AkHR0d+9Fqdfh8+87nKVf5AKCKOSoqKirnEzksXjo7mIve1yYkrZZZq45NaRjpC7PzhTT8\nXUuortjP0nnCKDM5Ca5KjHWi0V50Ok6cYgU0NcAMH2w2l3E41Uk2IAfjWI0adHGFx6L3HKMFaQx6\nXt380ek39vAJdqQKOSoq55EoEEIkyLxfrzUJKJ00zYswOM5AeOLMS0w3MZ6eFUOILpONtSbTjbCu\n1SDcWUoS6445okyuLPXBi8NIKVboaH+PpQdVVC4iZFkhGHRTV/ciw8N9DA3VMDCQTWpqNRkZqcAw\nbW2PYjAYkWUTzc2PkZ1djcFQis/nRpbDhMM5NDevJxAYxOcbYGQkC41mFjpdOjqdFZttDSMjf6S2\nth+9Xs/XvnY7d9zxHaLR20lJcbBgwQ24XOtpbx9Alm0oymzATiw2C5/vRdrbm3niiW683lvIzPwo\n0egQO3Y8R0lJOh5PA9u2bWPJkiUYDAby8/PfPbZYLMbevS0Eg9kEgyUMDMgcOfLv3HST+mBY5fRQ\nxRwVlfOKGxt1hEgjRhkXnpGyytnFT+bAU9jkIG3JK5Ftp2eoGQ3L9Df5Mdl1KAp4R7TsTa2kKloL\nwJALujogKxeynaB/D+OcQ0egbi88bcwnM09DrkPcNgquTqNt/yjPtizC9sx2glfNxTxDVHU5oZAj\nh8FdA8QheT5o1XRAFZXzTwSoQYgfFqDsNLcXR5Qh1yLEoSDCtyaemO9l3GQ5l/fWHe1CiEJuRLLo\nWBTPrMT03sQ8P6La1HtpYyPi2Iu5WGxxU4oVOto+uGapYUQxeRh3P1K5NKiszOdnP3sUo/EeRkcL\n6e8fRFGOoigmIMyMGSvR6f6OolyJwVBINGpnePgIJtOL+P2pLFmSwY9/vI5YbA3hsIlY7BCSZAVm\nMDjYTG5uFcFgM17vAUpKnMRiIi199uyVZGVdh1arRavVsmHDs2g0+USjQRQlC0lKQaSFFtLZ2URp\naSlm8wxASyTSR3f3NlpaXJjN2Tz00HOsWrWLb3/7yxiN496Hhw8fprMzlY985G76+trZu/dp4vES\nNm8W9XKfeOJPHDo0SDgcZdmyMtauvRqLRe0fqZyckz0CUVFROYsks5fFDFBKLeOh5iqXDEtnUhD3\nUawxYw23ndamHuELdO5wk7RpBO9Lg/Q3+JgR2I99aAvN1yxCUWD3ZkhphdrNEApDLAbrt1n4vxcy\n6Oiduk1Fgefdsym7dh7p+WYy1zqxp4mutc2h5+XZX6I4GmeBzYR2j+h+nzQiJ9AGARMEUsDfND5f\njcpRUTmP+BDRLfMRhsSnSxtCvPEjzI3DwEHGrWcbEbWRjib2pyBSrrYjhJnpGACuQUT+TCyXbkGk\nU6UDqxHpVu+FowgRqfAE+7zwSC6ADT1LznczzhqdCFktCSHfqVw6HD06Sl7eNUQiUTweHQbDMozG\nJVitPuLxHHp73wDSicUkYrERNJpGIpE4sdgG7rork127GjAYPoeifBxJuged7hfEYn5MpgjDw24O\nHnyYurp19PTkUVOj5/vf/zUajQZFGUWv16HVinTM5ORUJOkgWq2MTmcFIkjSO8iylWjUR3p6Ljk5\nOhoaHubw4SdwuysIhZag1Zbgdq/h2Wfreeutzcccm8vlQvn/2bvv8DjKa/Hj35nt0kpadcnqkmVb\nLrKNewNDbDCmEzoEQiAJJOEmuSGBe5PcmJtfSLgJudxQTEIvARJ6iU0ztnG3sXFvsiVbsnrXStt3\n5/fHSJZlS7ZcV+V8nkePV7szo7MrGL1z5n3P0YagKAplZSsIhaaTmvqfqOpVAPzud5/h812LzfY9\nFi0y8uSTf0fTtHP8Gzjz3G43/3rnHf78s5/x5K9/zZqVK/vs+/J4PKxbu5bF77/Pli1bDif7+jqZ\nmSNEGHmJppkanN22bBUDnjmFXdZMbP56nPbzjr+t34fhwA5CJivazBCKemwuXgtqGBQFgwaB5iBj\ns800+TU0DT4YOxfb4s9weSBgBFWFuibYd2goMfYU1m37iqwhekLxg7GdNSfsrY2s3urEOCICR7L+\n3+jTfB8AU6yPqrgonI2tBKaPYElvllYZ7eh30FUwtk9BlkSOEGEWg76EaS16YuR4guiX3CH0REh3\nQ0mNzmVTHvT6NiE6l0F1PO9pf9zRA+l8YBn6zJujxQEb24+detRrEe3HX4Pe5rw3bOjv2c+pFV4+\ntzrak8dkajSXDtx7sTagoxpQb3+TYmA4eLCekSNnEBfnR1EMRETEcOBADYFAKTbbKGpq3iAUGoHd\nPpVQqBlFqcZubyAhIYHk5Fh27mwgJ+cq9u2rBVQUJQpFOZ/o6NdpbDThdidgscwnNbUATfOxaNG/\nmD59L5MnJ7NmzYekpV2IpoWwWjVSUvZTUVGOplWhaTsJBlvRtKF4vWWsX/8skyeb8HpVfL5pwHkY\nDMm0tb0LRBIKzeDjj1cyb97cw+9Nb5/9GV7vFKqqDhEdfQttbXXEx+vdRy2W2fj9rTgcmWRlXcrO\nnQspKysjMzMzHL+KM0LTNF594glSt2/njuT5IrFzAAAgAElEQVRk3G1tfPLXv+JubeWiefMAaGlp\noaWlhaSkJMzm8M3Da2lp4fk//IH0igrSDAY2BwJsHDeOb/3oR5h6M409jCSZI8RZpHAAE834yKe7\n7lIexrORdPQ7on2tkedg5kdf8naWT5GqhdaEK2jtxaamoq+ZtGsDbjTc55uIyE46ZpuMaQ4qY4yY\nIg2MGGKldF0TRruRzHQriqJQ893ZfPpqBfYglEcmEDfKxr6qEK5mK8OmjOKDsZ0XNAe2udm/0UTm\nKCtZd0RhthlQVYWFwbtp3VMOmoZ9RCqm66bh8fpZvvGW7gNfcNT31nRIsgAhMCdLIkeI4+pIfpzt\nwaQBKDzhVroy9ISOChxEbyd+tOz211T0DlMl6OfUoe2vDwO+RF9EU4G+LCqI3gHr6CVEFejJoyg6\nizIb0JM6h9CTQJnos4q89D4x40BfTuYBEnu5Txgc1dEqOlOjpVRfkt3yiJnoB3zhiuyU1KPPiUpE\nn0t1tHT0/yoU+vRvRZxBZWVlfPXVNmpqyqio+JLY2EswmRqw25OIj/djsZTh9T6Jx9OKyeQhOjqE\ny5WA15uO0/kyaWn5PPXUekIhD35/LVFRkRgMZsxmOy0tbYwZ8w2WLn0Rm+1WoqJm4XL58PvdRERk\nsnLldn71q3tITPyMZcsWoqoKt99eyB13/Bs///njHDr0IV7vcOBKYDmh0GU0NDTzyScvoCiTgAAG\ngw+bLYZAYBz19Zuw25M4+n5bXl4es2ZtYOnSV3G5agkGi7BYGsjPH8Znn4HBoKAo+k6KoqAocTid\nznP9qzijDh48SGDHDi7Lzj7cPvw6s5mnP/yQ6bNns+itt9j3xRfEAE02Gxd/5zuMnzAhLLGu+Pxz\nRlZUcHF2NgBTNY2/f/01W7dsYcLEiWGJqbckmSPEWdPAcNaRjMImWnAyq5ttjBx7h1GEVy36hYOG\nfje5byTZNNVAEI0QsHzDfC7N/uqYbV6w/YAL/f/LzqU2Mke6GT2361A54NcYalYZGmtk4zYnqQV2\nZlyv4HM7iYzpvAAKBjV2r7ISlTCBfV9tI3OUh7+p9wDQVlRB/RIzmqaghaqIHpPGJ6t7aD++oIc3\nY24foksiR4jjaEYvGAx6EqSvNHxW0WfBQM9dokzof98q0evjFB61bQhIAaYCX6And8ahFzGOoqtD\nwGT0ZVg+9JsfoKcEmtGTP/vREz0nW2Mimv5SK6dD1BBorYJQiGMuGPu6AHrvsQL0nmQxdJ+mPPZW\nhRio1q/fyMKFy1HVyfj9M9mz5+8kJ1dhNGZy6NAK4uLqKCy8kebmD9G0+cTFzWblyldpbY0hECgj\nENhFU9NkDh70ERsbpKbmaez2b9PS0oDLtRWjcSWbN4fw+WJQlADBoI+ICCuhEIRC9cTEmLFYLFx3\n3eVcd93lXWLLzk7jsst+itc7GU3bSig0E5PpKgKBfWjaeSjKSiyWTLzegwSDMUAjHo+XyMhVzJ8/\nt8uxFEXhzjtvYPLkHTzxxAFKSlYzbtyN2Gwd56y9xMbqN8W8XieqeoCMjPnn4Ddw9rS0tJCoqocT\nOQDRFgtaVRVffPopno8/5qc5OZgMBmrb2njpqacY8vDDJCcnH+eoZ0fZtm1cGd/5N1ZRFEbZbBzY\nvVuSOUIMXgb8KAQIEhyAHTUGrnpgJHoNiQb6SjInMHQc6y02NLMVkjKAY5M5AY+PFzbM5eoMH6U7\nN5M3wc2eNX7qyk0UXugnNtVCVYqFDbU+Yi/QJ7CbzComc9crAoNBwZHSSsmW7QzJb+J560+6lubW\nNP3OkaqdWtcqkESOECdUh16Y14xeL6avJHPS0RMsIXpekhVEn1EzC9iCXhenCj35koI+kwb02Tkd\nl+5Guk+s2IAV6An2oztlDT6Ptj2A1fFnaqojSUltC3c4J0Vp//Ic8b0YvPx+Py+/vITExO8QEaHf\nfEpKGsOuXQu45ZYEWludeDxRZGTs58ILb+Oxx94nNjaH8867iY8/fgqDYQZ2+zUkJk6nre0rQqEN\nfOc7Kbzzzm+JinJjsbjw+Ry43dmYTE5CoY0EAom43fkoyjbs9g+59trHj4nL6/WiaRqFhYWMGZNJ\nXV0Ir7cao/EB9GS2gj6rby9m8040bTw+33soykZiYiK44YY8LrjggmOOazAYKCws5LHHhvLSS++y\nfv1TKIq+tGjMGCgr+xiwoqpb+fa3zyc6un8lmo+WkZHBx4DL7yeifanSvoYG7JmZFK1ezY0pKZja\n6xQlRkYyrq6OHVu3kjx37nGOenbEpKRQXVHBkKjOmwnVPh8xSX0/tSzJHCHOmhj2M5v9tKF36xD9\nQyKwHf2P9el1lzqjjEa0nFE9vuxrcKJ8sAFbaR1vu0dwU2ELbqdCRdEQImLS2btuEzNvUCm4JomA\nXzsmgXMkTdOIdLdgjshlszcLU7CzRk9kfjJo1axYPwdq8ru/Mb/gBO9FEjlC9EIi+vyFEKffXepM\nUulMxnTHhV7suAr4BH05E+iX8DOB5ejLsMahz9U40c2OAHq9nNb2xx11FZLRl6F56Vy+NThEpWlU\nVkT1u2SOAf1WSV37v3IRMrg1NDTgckWSkNA5i9hujyMlZQJXXz2TvLyuSzjvuKOFZ555npaWRHw+\nPzZbOkOG5GEwGFGULBQllpSUJG655RIKCoZQV9fM8uVpLF++Dru9AI9nHz7fmwQCTlS1gquuyic3\nt7PzXVtbG6+99iFr1xajaTB0aBRut4tAYDWaZiYQaEZRNDStGoulgFDIj6puJDKyjGBwA2PHxvOb\n33yHmTNnHLfOSkREBPfeeyu33tqCz+fjhRd+yhNPPMD27dvxen0UFNxKSkrKmf/Az7HY2Fgm3Xgj\nf3vjDcYCbk1ju83Gdd/+Nh8988wx2ysQtuLI0+fN48316zHV1JAWFcWe+nq2RUfzvSl9v9i8nEeF\nOKv6fkZXHC0e/eJDoS83/Fv85bVcev47h7/3lzcwxu1DzXeweZjC+gt+zGjPQiJianG1eMifFKC1\nEZqqvMSlWXtM5jzN99G0EEH3UkYnKtR6/QSDocPXW4rBwIraH+kTBrqz4ASBSyJHiF6KBiahz0jp\naTlTX9SInmgZi57UGY/+HgLoBYxj0BM+1eglbh3dH+awIHpdnmI6awh1SD9jUfcnUUOgsiKK8ROq\nDj9X+DPY+mgYg+qlKI5dSCcGJ6fTSUXFLlyuHaSnZ2G32wkG/WhaDXFxccdsP336FLKy0vniiy8p\nKdHHJqGQn6amvcAuWltbWbIkkYSEPLZt20VLy1Ls9huxWodhte7EYLgAq7UZVd2Bw6Fx663XdTn+\nU0+9wpdfBkhNvYTExAI++OD3BIOXMWLEJnbsWIGm/RJN+waKko/Vug2z+QDTpj3AoUMbmTHDyEMP\n/TuxsbFomkZ1dTWhUIiUlJQuy4yOdOTMm+joaKZPn35GP9++4MJLLmHoyJHs2bmTKKuV740di8Ph\nYPSFF7L0lVe4zmbDZDBQ53LxtaryrbFjT+r4Pp+PhoYGHA4HVqv1lOPMysrim7/6FSs++IDPyspI\nmz6dOy6/nJiYo2u49T2SzBFCiGP0kQunBZw4OdLOnB7PnggLSjCEaVQmiqLwgu0HhK73E3T5uDjy\nZfa8VklOW5DiaCMjb0lFVfUBRkd3qg6KquK/ZByr3v8ad1QcyR4/Bqu55yVVR8bbE28lUavfoJV0\ntOPe1RdCdOq7CeWexaEncarRZ/B0nE/Hoydx7OhJnXT0FuVjOX43x3xgPXpC6ESdtnqjCb2IcyR6\n4eX+JypNo6JcUiKi/1q5ci3PPbcavz+bDRveZevWYYwbl4PBsJtLLskjNrb7XmZpaWncdttN7NtX\nx969ARoaqqioaKS6+mM0bTQHDkRQXt5IRsYoKiu3UV7+F/z+64EpREWV09S0hKSkGPLyojjvvM4u\nokuXLueZZ1YQEXEtZWV7sNmW4nb70bQs8vKiaGnxUlVVTyDwKkZjGyaTmUmTbiA29gAjRrTx4IN6\nIqexsZGnn/4ne/d6AAPp6SF+8IPrSU0dvPUxMzIyyMjoeu4+/6KLeL+qiv9dtoxYRaHBYmHuvfee\nVL2cdatWsezvfyfK66XFYGDSNddw0bx5PSbPTiQnJ4ecH//4lPYNJ0nmCCFEP3Xk7BxTrB3ttvMB\n0JweXGv2oKTFYctMRDWb+JvvbvAvo9qisNOnsEKbjYKBUCAIBFGNXRNYCtCqjUTxJNO4upiN9geO\nH8yC9n8DzeDco7cgtxeAooCmkbT6SQpR2UcVB0ikP7QCFkKcChswEX15mA89YWNDT8R03IkO0lms\nOHTEcyGOXXaloM+YHAbsoPe1gzzos3mM6EmbjiHvfvQE0UH0umjHzgDoc9o7WnW0J7enQnVl36jn\nJsTJcrvdvPzyMpKT7yUzM5qcnK/Ys2clJSUf8vDDd3P++TO7bN/c3ExdXR2JiYlER0ejKAo//OGN\nPPTQk2zYUIPFkoWmNeDzXcf+/QGysrJZu3Y3zc2x5OYW4HLtpqJiHc3NpURF2fH5fASDMbz00rvc\nc88t+Hw+nntuCRbLHTgcFwPQ2roFp/P/UNW97N3bSGbmn8nOtlBdvYaUlG1ceqmPwsKhxMXFMHbs\n5YdnhTz77Nvs3z+GzMxpANTW7uD//u8NHn74x6j9rWL5WWQ0Gvnm7bfTdOWVOJ1OkpOTT6o1eUlJ\nCWueeYbvJScTm5REm8/Hq6+9RnxqKuPGjTuLkfc9kswZlP6MXnTQhH5n7L+RSa9C9E9HJnSU9kJy\noU82U9jUxoEtB/Dcej7GKBuq2YTnsols2V+FOmwIRoMBb20zNR9WoKgaSVdkYI7vPA8YIiwoxnp2\n7JgI/jwY3c0P97rh51v1lirRY0E1Q/N28CSDVgnmKrCkwrL1eLDjpJ42Iuj6p+dxYCX6+SgN+DV9\npei0EOJUqe1fO9GXG9eiJ286EjEj0AskZ6EnetrQEzUaej2dI+/OmtGXV1XTWS/naH5gH/pSrrz2\nn3UAfRmXC72rVsedYTN61RYPXWcE9Z+xUdQQjU/XT+OXfBnuUIQ4aZWVlQSDKVit+hKW9PRJpKdP\noqzsSUaOHIGhfSyjaRrvvruYjz7ahqKkAFVcddU4rrjiYpKSksjPz6Wt7UIcjjzefTeAqlpRlFQ8\nHic+nxm/30VUVDI2m4Km+aiutjBlygWMHn09ZnMU69e/xsSJG2lubqKsLAKv10t9fRFxcUOJjCyk\nvt6C0/kCERHfJxAI4HaXk5xsZNKkG6ioeI4HHuhaqLexsZGdO5vIzJx6eHZIUtJoSktXU1paSnZ7\n22vRyeFw4HD0vNTW7XazZ88eNE1j2LBhREbq3Qy3rl3LNJOJWJt+YzDSbOaCmBjWLV0qyRwxGEwD\nfoI+0HoMeK79eyHEQBAyGwgEggTNRlA7p5taU2MhtXPqsvtgM1ogn1AohLu0qksy5/Ntt8OQeohr\ng4QeCnj/RxG4IoEAGIvBPgIMFtAaQfGAajlcI6eF6ayjnmOb0U4Gfoh+PnoSeKn9eyFE/6eiJ1oC\ndF0y5qBrrZx69GRuDPqMmSOTOVb0YvROel5mVYmemIlv378A/TzTgj476MgE8Qj0tubD6WxzDv1p\nbGRP1WitkLv84uypr6/nvfc+Z9OmEuLjo7jyymlMmDD+lJewHCkmJoZQqI5QKIiq6ombQMCDojiJ\nOqKb0JYtW3j33XKysn6C0WghEPDw1lsvkpu7g9GjR9PU5CI2No/q6iLa2qrwep9GUWbQ1paJx7MJ\nTdtCWdkc4uIuoaWlHL9/EW63E4tFnyEYHT2et99+h5ISD5WVNiyWMVRW7qCt7SAGg0ZTUxFDh47n\nwIFiyss/Y8KEYRQUjMfjqcVuP/X6LKJ3iouLefPRR8lxuVCAT61Wrv7JTxg+fDjBQADDUf8tGhSF\nUDAYnmDDSP4SDErT6PzVj0G/2yWE6JMWnOD1UIjFb09h8UezDz9lmjuWrVPzqUxOpnVXDVoPf9wi\nsh2opr0YbPuwZelJnsVfXttZGycmHpIzwdBNDaEFgCECtHrQ6kBtvzcQPQ7iEyBxHKwsOmIHCzCE\nrhdPAFPoPB+NQr/IEkL0T3XoiZkOw9BnwLjRu1v5etgvHihH7ySY2M3rUejnj546xFjR255X03k+\nyWnfL5muyaGOWYBHt/3tP2Mjeyo4K8MdhRioPB4PjzzyEmvWZBATcx9O5xX83/+tYePGr8/I8ePj\n45k1K5OSkjdxOitpaTnEgQP/YN680URERBzebtWqHURHz8Bo1GfQGY1WIiOns2bNDgAmTsxj06Zn\n2bx5P0bjbdhs/4bP9zHNzY+hqmvx+XzExHwTqzUbmy0Hg2EKtbX1BIP6ecjtrmPbtkOkp9+L3a7g\n8+0iN3cmBkMbHs8nzJjxbebOfYScnEgiI6PwegMEg63U1Cxi/vxJx7yv2NhYRo50UF6+Fk3T0DSN\nmprtJCW1kZkptQJPRigU4r2nn+Z6o5EbsrK4PiuLW202Pli4kEAgwKjJk1nn9eLy60XxfcEgK5ua\nGDVrVpgjP/dkZs6g9x5wabiDEKclhIkd2GighbGcuDOIGFCKdsDOFjC4WBw6HxwJXHr+OwQ9RryH\nhuI50IY5rpaI3GPbXJoTokm7fTgff3ktbO9l0ecFRzyOHAoEoXEzNAZAsYItHWw5p9i16kPg4lPY\nTwgRfmXoxYU7auWkoi9pMqInYozos2byu9k3ks46O6cyNE1Cr7mznc7ZPVntP/dU9O2xUdQQjdbK\n058hMZAdQk8tJjBYe56duu3bt1NTk0F2tt5dyWyOBK7ggw8+ZOLE846/cy/dfvu1ZGSsYNmytzEY\nVK66qpBZs7p2czIYVEKhrjejQqEARqOedE1OjmXPnrV4vT8kFPLi929FVYcSCIwkKsqPx3OQAwdW\nkJqah8lUT2ysAb/fjNvdiMfThNe7BJMpgdWrD+D3f4O2tpXU1f0Li6WczMw0zjvvJlTVyIwZN7Nl\ny0cUFf2V3NyJ3HnndKZP775l9d13f5OFC/9BUdEGOgsg3yT1ck5STU0N5tpacrOyDj+XHh2No7SU\n8vJyhg0bRvnNN/OXt94iVdOo1jRGXH45Eycdm2Qb6CSZM2B9H/3P2NHuA2a3P34G/Q7V/HMUkzg7\n6ihgB4mY+YqvaebCcAckemvpOriw+wFBFwvoeYaOsw0MKeCvBU8bkKDPrCnaAXtbAA+7vh4Gh3pY\nKgXHNu8KhaCqDDbvgEQHnDdFn53TXQyKCowENRY8FXoy55hEzn3ohUaPdg/QcRflBfTz0SU9xymE\n6MM86JfOAfSZOB1M6EkeA51Fj7vTUWfnSCH0VudF7ccZTc+dr1T0eju5wBb0ZM7RBsbY6EnjzwnW\nP0YgIAmd7vjR53lNQO+blkzPc7rEsVpanGha10LjNls89fXOM/YzjEYjc+deyNy5PY9ZZ80qZNWq\nZTgcWVgs0Xg8zXg8q5gx4xJaWlp48skPiY29gKio6fh8TsrLv8BkmofVambqVAebN1fT2OggGDzI\nuHEFmExe9ux5g/r6p8jPT+Oee67nW996GIMhg7i4DByOiXi9jdTU3Etm5nDU9hnHMTEZTJ36LfLy\nannssfsxGnu+fI6MjOTnP7+LhoaGE7YmFz2zWq24FYVgKIShPREW0jRaQyFsNhuKonDRvHlMnjmT\n6upq4uPjj1t7ZyCTZM6A9dcTvP4+etHRv51gu4VHPJ4IDL6MZ99noxEzCj7cJ+zKsQH46sgnZgPL\nzlJg4kxaQPfJlBEFENoBkTZIPOL+Y14B2EvBZIaEbu5O+31gMOrFiwG8HijeiW3PBmJUqPLZwTEf\nDu2Ad+vAfFS7yGAbNHwFQReoPtDMEDG+hxk5j5/gzX0ErAaeOM42zxzx+Dz0YbrovzYCm458YjZy\nLurnMtCTLipdZ9+ko19Kh4BjZwjql94qnVnlAHrx4mL05I8LmIFeRLmWY+dZ+NELLbsBL/oyr57m\nYpyJsVH4x0WKUcUWD7U1kRgf0Yh+oKfla4OTAf2/qAN0/S+rJ8eMjAb5+SgnJxv4iGBwFgaDngar\nqdnC1KnZ5zSOkSNHcscddbz11lP4/dGYzU6+852ZDBs2jNWrVxMMnkd0dBEGQ4CIiBxqauwEAjZi\nYzUiIxPweBy0tX2KwTCC9etXER+/liee+Onh2UV1dXUkJSVy8OC7VFSMxecDTVtPWlokdns5VVWb\nSU4uJBDwUFb2L665ZuLhRE4oFKKxsZGIiAhsNhsNDQ28+upHfP11GSaTwpw5Y7jmmlNvkz3YORwO\nhkyezKI1a5iTno6qKCwrL8cxbhxJSUmHt7Pb7djtg7tphiRzBqVVwIvA8/R8h6vDvWc9GnG6oihj\nLmW46L7WwJEm0XXg+fSysxaWOPMWcGxCxx4Dk6cfu62qQmp298cp30/6V5/TanfQNPNKsNhg93bY\n6iZ2Xx35Y2No81Th/McmMIYgIebYY7gOgDcRUCHKoxc//nIZeo2Kk/nTsgb4O/oF0vHOR989iWOK\nvm8CXRNyzy0LUyDijLGi15rpTnIPz9ehd6FSgJHo54+D6AkaM/osm/XAbvRlVAXdHKO6fb8c9Mv3\n4ejdsfyc3HyM3o6N+sa4yJ6qUVVpJ3VIa7hD6XNUoBB9PlgGJy4QeszIaBAncgCys7O59NJMFi9+\nGhiFotSTmFjKNdd8+5zGoSgKc+ZcwKxZU2lqasLhcGCx6P9vBoNBDAYb48dfwtq1z3PokJ/m5m34\n/WvJy7uQHTt8JCTcitn8V9LTW4iNzcLnS2bXrt2UlVUxcmQeaWlpJCTEUlpqx2TajdVqITJyKq2t\nJVx00RjKyzewe/diTCaYPTuL4cOzaG5upqamhmef/YjaWgWDwcOcOQVs2VJMbe1UMjJuJRj08tFH\niwiFFnHTTVed089sIPnmt7/N4qgo/rx8OVooxPALLuCG668Pd1h9jiRzBqU/oA9yvt/+/Vjgl+EL\nR5wBUfTVFqqi74kp2cFIm52Gljq+aq6DpAy965XZQqPVSvGHTlxxl0FyFqg2veX40cyxoOwAFNjk\nJJqPyaCBgyTTysyTiOZR9Dvx/9b+/WjgF6f7FoUQ/UItehKnDX1GTRR6YseAnrz5Gj05k4k+ZO0u\nyRKNnuxpQa8Zt7t92/3AeHo/1O1fY6OoIVBVYZdJij2w0HMKURyfoijceOOVTJ16kOLiEqKjcxg9\n+gqs1vB0cLJYLCQnd/1tjhgxAoPhRWJiJpOQ4KClxUR8/GRMpjZqa5tobHyJtLTp5OVlMmHCzTid\nrSxevJM33qgmJSWHd9/9gnnzUsjIMLJ2rZOMjDtRFBNO53LS0/PYv7+F3/zmXpxOJ2+++S9WrChn\n1SoNn+8d6uoOMXz4g2Rm5hAIeHj99SdxudxMnz4NAFWNICPjMr744jGuvfZSzOZuxlDihKxWK9fc\neitX3nQTwOGW9aIrSeYMSh+GOwAhRIfe1s3psOCofzvUHCKqZDvO9HxIyzvuIZpzRrFj4xLaHEkQ\n0z6ba8QYeGk/buUqytJTwXB016mjWIZAciSs+AqII44GMoihiRpaCXLiie0d3urldkKI/qERvfys\nHX22zPEkoi+R6piZA3qtmzIgD70Gz4mm0EejJ4H96MWPVwEz0Zfyeen9ULd/jY3sKRrV1YN7eYE4\nexRFITs7m+zs7HCH0q34+Hiuu66QV1/9Hw4ebCAq6g6SkswMGTKC+voGtm37lGHDYhg16gYURWXb\ntiI0LcjQoVcTG5tDMDiRTz55ipkz08nOrsfpXEgwGCQ3dySZmdfjcr0HwNat21m61E9Ozo9RVSPF\nxXvZt+9Fhg71AnqHLYdjEvv2fdolPqPRwurViyksfAmLxUJeXh4vvPACMTHdzHQWxyVJnOOTZI4Q\nQvRHC+hM6IRCpKz/hNFGE0VVBzmYMERfOtVQDaoBS+luIhqqaCycBXHJkJZHeXImqAZ9OdYCADPY\nu1vCcBwrdtNxoXWI0bRRTD3j6H0iRwgx8OxHb0legr7QxdH+bxC9EHozepepIejJGgeds3Fo/zf7\nJH/mkYWVM4F1QCx6l6wB4vWtcHMhvh9FY36iBXsqVFdKMkcMPvv27eOvf/2AujojPl+ImBiFsWMz\n2L69lNpaN3qCN5b6+sWUl2djNkdRUvIGw4cX4nBkA2AwmFDV4cTGtpKR0UJa2g8wmWxomkZJyYdc\nd91wAFau3Elc3IU0Npawa9cyyspKaG72sm/flyQkjAAgLi4PRdmPy1VHREQCAFVVm5k6dQJ/+9uj\nqKrKgw8+yO9//3v+8Ic/hOETE90pKytj85o1+NxuRkycyMiRI/tljSNJ5gghRH+1oP1fTcF9YTR1\nB3bg9/mhtQmqDsHGcnDXk6vtJS1+CBu3raLxgmv1/UIaOLeAFoLo0aCeqH7WEbopchxgOLUMPwNv\nSgjRv5mBvei1b2LQZ8dUoM+caQTmAmvpbBuuoieA/OhJnON1vOqNjPavgS0yWaN29+l+VkL0L62t\nrTz66NtYLDeSlZVNIOBl164fs2LFp8TEXIHDkYTHU0pSUgaJiW6mTt2Pz6fQ2hokPn72URfrVeTm\nFlJQUMprr92N328nMdHI3LkjmDv3bgDMZiONjSVs2/Y1JtMVOBw3UFW1iN27v2DMmGuIiEigrm4j\nd9wxnb17n6W2Ng9wk5BQy/33P3i4JfmUKVN4++23z/0HJrq1dfNmPvvLX5imKFiNRlYuWULJlVdy\n+XXXhTu0kybJHCGECLfulloFmkEx9rzcyVUMbeVgzwRbFs2fXEBzxV4KTEn4Ni2hzjoS2lIhYKFO\nK8JgbKMtahgsBUIBqPlQv0FuywBDEUSN7n2sQohBxIXeiaqnWSDVQCX6DJts9E5Wy4EL0JM0cejL\nqVT0htF76Jwxo6EndrzoxY5LgFFn4T0MPJFJsPLL84BPT7itEAPFrl27cLuHkZycDejLmaZP/y5v\nvnk/EREWmpqMmEwHmTbtJlpbNzNpUhImjL0AAB5ASURBVD5jx44lPz+ZhQv/TmrqNVit0Wzb9jJV\nVSu58863aG5OIDPzZjIzs/F69+H3lx6uc1NQkMz//u+faG29iqioZmJjLSQlJRIMDmPTpj+SmZnG\nhAkxfP/73yUQCLBv3z7MZjP5+fmYTJ0F2J9//nluvvnmcHxk4iihUIjPXnmFW2JjSY3S642ODgb5\ny7/+xdTZs0lISAhzhCdHkjlCCNEXHJnQcRVDYzEQhKSJYIrvum3IC417wTABGjeAJQ2MUXgsqXhC\nLnyqHez5ENgCNhO1Ud+nVvOBqb0+jucAuAzg94K6D9TJvYtPCDHI1KEnWFT0dt/dlZTdj16Fdzt6\n0saGnsDxtr+e1r5NCLgQveC544jjgz6bp6R9W9EbkckabdXhjkKIcysUCnH0Uu64uKGkpMQyceIw\nTCYb8fFXYzRacTqXYjKZePrpv7NuXRWhkI+NG38LeKmvzwTupbn5EFBNba0Ns9nLjBlXUVr6Mnv2\n7CElJYX33ttCREQhbvdoXK4oWlo2UVgYR2zsWMaN284XX7zNV1818uyzj3aJ6eGHH+aKK64A4He/\n+x1ms5lbbrnlnHxG4vhaW1vRGhtJzcw8/JzZYCBLVamqqpJkjhBCDFyNxLIZFw68FHL0gEKlGBMt\neMnntGo1eOtBGQqhJvA3HpvMUYxgNID/IJjNoBhANVKZeDWV/gY9uWOwQUIPXaUMNjBHg9IE0YkQ\ncfyCyZLIEaKvaQWK0M9BI9CTIUc6hN7daQidiZNT0dHc2YC+RKq7ZI61/ecF2+NQ0WfX1LX/G0HP\nLcst7fto6Eme3NOIdXDJmK5x078C4Q5DiHNqxIgRmEzLaGubSmRkEl6vh5KSz5g/v5Camt3ExV2G\npmmUln5BTo6PXbuKWb06guzsn5CVZeDQoXUsXfoCNtuVxMXNwulcgapehNv9OXV142lrawMSaGlp\n4cCBcrzeCUycqLJlSw0uVw5NTfkUFdVita7H4Wjgww8/PG5R4xdffJFFixaxZMmS476vBQsWHH48\ne/ZsZs+efWY+MHGMiIgIQpGRNLjdxNlsAARDIcpDIWbGx59g77Nr2bJlLFu27MinZgPLutu2gyRz\nhBCil2LYznm0Uk8dm0kDko54tZ4CNpGAgY24aWXayf+Ajtk59jzwbdITNZZu6tAoBj1R468D02jo\nWANuitO/TsSSBklGCPn1xz0VfJMkjhB9VBl6ksWFvsQp64jXWtGXPg1Fb9N9Et3yjjEE2IWebBnR\nwzZj0NuKpwIdywoi6V1CO7o9Thd6okiKp/eWwax/EQx3JEKcOzExMdx333wWLnyODRu8lJeXEhen\nkZSUzwUXaOzY8QJNTR6GD49hxozxvPrqFwwZ8m+oqn5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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Fit A Gaussian Naive Bayes model using Sklearn*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.naive_bayes import GaussianNB\n", "\n", "# fit a GaussianNB model\n", "\n", "gnb = GaussianNB()\n", "gnb.fit(mX,mY)\n", "\n", "\n", "# plots the probability that a point in x,y belogs to the class Y=1 according to your model and the decision boundary p=.5\n", "x = np.linspace(-4,4,100)\n", "y = np.linspace(-4,4,100)\n", "test_points = np.dstack(np.meshgrid(x, y)).reshape(-1,2)\n", "z = gnb.predict_proba(test_points)[:,1].reshape(len(x),len(y)) # probability Y = 1\n", "f,ax = subplots(1,1,figsize=(5,5))\n", "cn = ax.contourf(x,y,z)\n", "ct = ax.contour(cn,levels=[0.5])\n", "ax.scatter(mX[:,0],mX[:,1],s=5, c = [\"black\" if t < 1 else \"white\" for t in mY],alpha=1)\n", "ax.clabel(ct)\n", "show()\n", "\n", "# model would be fit perfectly by QDA (doesn't make the same independence assumption as Naive Bayes)\n", "\n", "# Try changing the covariance matrices and refitting your model. \n", "# When does the probability distribution returned by Naive Bayes resemble the true one" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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imzfn+yAB5bHA4zYbzW67jbiNG5lRQArmFFSKjLB54uHvZTL7v5Q5sk6i4m0a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\nOPDtcyL03svhxeeUa5wwcSZfr2pLDWFucn5NDWc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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Logistic Regression\n", "\n", "Logistic regression models $P(y|\\boldsymbol{x})$ directly by assuming it is a (logistic) function of a linear combination of the features. The logistic function $\\theta(s) = \\frac{e^s}{e^s+1}$ maps the weighted features to $[0,1]$ to allow it to model a probability. Training logistic regression corresponds to learning the weights $\\boldsymbol{w}$ to maximise the likelihood function:\n", "\n", "\\begin{equation}\n", "P(y_1...y_n|\\boldsymbol{x}_1...\\boldsymbol{x}_n,\\boldsymbol{w}) = \\prod_{i=1}^n \\theta(y_i\\boldsymbol{w}^T\\boldsymbol{x}_i)\n", "\\end{equation}\n", "\n", "Maximising the likelihood $P(y_1...y_n|\\boldsymbol{x}_1...\\boldsymbol{x}_n,\\boldsymbol{w})$ is equivalent to minimising the negative log-likelihood: \n", "\\begin{equation}\n", "\\boldsymbol{w}^* = argmin_{\\boldsymbol{w}}\\left( -\\log\\left(\\prod_{i=1}^n \\theta(y_i\\boldsymbol{w}^T\\boldsymbol{x}_i)\\right)\\right)\n", "= argmin_{\\boldsymbol{w}}\\left( \\sum_{i=1}^n \\ln(1+e^{-y_i\\boldsymbol{w}^T\\boldsymbol{x}_i})\\right)\n", "\\end{equation}\n", "\n", "Once we have the weights $\\boldsymbol{w}^*$, we can predict the probability that a new observation belongs to each class." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Question: Suppose that we have a data set that is linearly separable. What happens to the weights $w$ when we run logistic regression?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Use Sklearn to fit a logistic regression model on the gaussian mixture data.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Run Logistic regression on the gaussian mixture data\n", "from sklearn.linear_model import LogisticRegression\n", "\n", "logistic = LogisticRegression(C = 10000, fit_intercept=False)\n", "logistic.fit(mX,mY)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "LogisticRegression(C=10000, class_weight=None, dual=False,\n", " fit_intercept=False, intercept_scaling=1, penalty='l2',\n", " random_state=None, tol=0.0001)" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "# plot the probability y = 1 as over the feature space as for Naive Bayes\n", "logistz = logistic.predict_proba(test_points)[:,1].reshape(len(x),len(y)) # probability Y = 1\n", "f,ax = subplots(1,1,figsize=(5,5))\n", "cn = ax.contourf(x,y,logistz)\n", "ct = ax.contour(cn,levels=[0.5])\n", "ax.scatter(mX[:,0],mX[:,1],s=5, c = [\"black\" if t < 1 else \"white\" for t in mY],alpha=1)\n", "ax.clabel(ct)\n", "show()# implement the jacobian" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OZnXP7dl6CrH/fYPzyBperp9+3Ntdj4HP52PTunUU1euRuHoYSiXgAW6cqIF2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\nMbajJNQyIiLUEA1lLD2JfHUlKFXCffm6EpkK9R4aouJaDG8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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "# we can model more complex decision boundaries by expanding the feature space to include combinations of features\n", "\n", "# re-fit logistic regression adding in all quadratic combinations of features ie x1,x2,x1x2,x1^2,x2^2\n", "from sklearn.preprocessing import PolynomialFeatures\n", "poly_expand = PolynomialFeatures(2)\n", "m2X = poly_expand.fit(mX).transform(mX)\n", "\n", "logistic.fit(m2X,mY)\n", "testpoints2 = poly_expand.transform(test_points)\n", "logistic2z = logistic.predict_proba(testpoints2)[:,1].reshape(len(x),len(y)) # probability Y = 1\n", "f,ax = subplots(1,1,figsize=(5,5))\n", "cn = ax.contourf(x,y,logistic2z)\n", "ct = ax.contour(cn,levels=[0.5])\n", "ax.scatter(mX[:,0],mX[:,1],s=5, c = [\"black\" if t < 1 else \"white\" for t in mY],alpha=1)\n", "ax.clabel(ct)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5HNf1U/OTlN6U9HccarVC5RzO3QucRt1hK71E2+PAYIuF6PPnCQsN5bdAAAsw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\n9/PJ3Ll8kJJSq9Voa8UIW8zYH23bclAOWIcGjn8euVovoe5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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "With large numbers of features there is a risk of over fitting to the training data. We can tune a logistic regression model to reduce the risk of over fitting by penalising large weights, $\\boldsymbol{w}$ \n", "\n", "*Exersise: Experiment with the regularisation parameters sklearn provides: \n", "penalty = \"l1\" or \"l2\" and C = inverse of weight of regularisation term *" ] }, { "cell_type": "code", "collapsed": false, "input": [ "lreg = LogisticRegression(penalty = \"l2\",C = .0001)\n", "lreg.fit(m2X,mY)\n", "\n", "# plots the probability as before\n", "logistic2z_reg = lreg.predict_proba(testpoints2)[:,1].reshape(len(x),len(y)) # probability Y = 1\n", "f,ax = subplots(1,1,figsize=(5,5))\n", "cn = ax.contourf(x,y,logistic2z_reg)\n", "ct = ax.contour(cn,levels=[0.5])\n", "ax.scatter(mX[:,0],mX[:,1],s=5, c = [\"black\" if t < 1 else \"white\" for t in mY],alpha=1)\n", "ax.clabel(ct)\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Re1HnqlnTZhXuTu6cSDzGpGsvIFPIEEWRbf22kHglEbmpnH7r++PUwrnQvaWJ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\n0CQ48BNs90NnbKW+oAeBJxCRSW4zAOFwYP31J6xehXz7TfQWLdEGDMQ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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "code", "collapsed": false, "input": [ "# Run logistic regression on the titanic data\n", "\n", "titanic_logist = LogisticRegression()\n", "titanic_logist.fit(X,Y)\n", "\n", "\n", "# Look at the coefficients (weights) in the model. Are they meaningfull? \n", "# Do you need to change the way any of the features were encoded?\n", "print(titanic_logist.coef_)\n", "print(titanic_logist.intercept_)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[-0.86167767 2.46368356 -0.30054043 -0.02526696 0.0037132 0.11749166]]\n", "[ 0.50953296]\n" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implement Logistic Regression (Optional)\n", "Recall for logistic regression we are trying to find (assuming we have encoded $Y$ as $\\{-1,1\\}$) \n", "\\begin{equation}\n", "\\boldsymbol{w}^* = argmin_{\\boldsymbol{w}}\\left( \\sum_{i=1}^n \\ln(1+e^{-y_i\\boldsymbol{w}^T\\boldsymbol{x}_i})\\right)\n", "\\end{equation}\n", "\n", "This is a convex optimisation problem in $\\boldsymbol{w}$.\n", "\n", "We can solve it using gradient decent (or an optimisation library)\n", "\n", "*Exercise: Implement logistic regression using scipy's optimisation library and run it on the gaussian mixture data mX,mY. *" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# implement logistic regression using the scipy's optimization library and run it on the gaussian model data\n", "from scipy.optimize import minimize\n", "\n", "# copy input so our modifications don't effect original data\n", "dataX = mX\n", "dataY = mY\n", "\n", "# encode mY as -1,1\n", "dataY[mY==0] = -1\n", "\n", "# add a column of all ones to mX to allow us to fit an intercept\n", "dataX = np.hstack((np.ones((mX.shape[0],1)),mX))\n", "\n", "\n", "# implement the loss function\n", "def loss(w,X,Y):\n", " wx = np.dot(X,w)\n", " l_i = np.log(1+np.exp(-Y*wx))\n", " return sum(l_i)\n", " \n", "\n", "# start the optimization with randomly guessed weights \n", "w0 = np.random.random((dataX.shape[1],1)) \n", "\n", "optimal = minimize(loss,w0,args=(dataX,dataY),method=\"BFGS\") \n", "w = optimal.x\n", "print(w)\n", "\n", "# how does this compare with the coefficients you saw using Sklearn? \n", "# try refitting the sklearn logistic model with a very high value for C (like 10000).\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[-2.29274861 4.30844335 4.43623391]\n" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimisation method we are using (BFGS) needs to know the jacobian (gradient of the loss function with respect to w). Since we didn't supply it, python is approximating it numerically. We can speed things up by supplying it.\n", "\n", "\\begin{equation}\n", "L(\\boldsymbol{w}) = \\sum_{i=1}^n \\ln(1+e^{-y_i\\boldsymbol{w}^T\\boldsymbol{x}_i}) \\longleftarrow \\text{ loss function}\\\\\n", "\\nabla{L} = [\\frac{\\partial L}{\\partial w_1},\\frac{\\partial L}{\\partial w_2}, ..., \\frac{\\partial L}{\\partial w_D}] \\longleftarrow \\text{ definition of gradient}\\\\\n", "\\frac{\\partial L}{\\partial w_j} = -\\sum_{i=1}^n x_{ij} \\frac{ y_i e^{-y_i\\boldsymbol{w}^T\\boldsymbol{x}_i}}{1+e^{-y_i\\boldsymbol{w}^T\\boldsymbol{x}_i}} \\longleftarrow \\text{ result of taking partial derivative of loss function with respect to weight $j$}\\\\\n", "\\end{equation}\n", "\n", "*Exercise: repeat the previous exercise but supply the Jacobian to the minimizer*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# implement jacobian\n", "\n", "def grad_loss(w,X,Y):\n", " wx = np.dot(X,w)\n", " ewx = np.exp(-Y*wx)\n", " s = -Y*ewx/(1+ewx)\n", " result = np.dot(s,X)\n", " return result\n", " \n", "# start the optimization with randomly guessed weights \n", "w0 = np.random.random((dataX.shape[1],1)) \n", "\n", "optimal = minimize(loss,w0,args=(dataX,dataY),jac = grad_loss, method=\"BFGS\") \n", "print(optimal)\n", "w = optimal.x\n", "print(w) \n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " x: array([-2.29274986, 4.3084435 , 4.43623469])\n", " njev: 22\n", " success: True\n", " fun: 33.81762255740206\n", " status: 0\n", " nfev: 22\n", " jac: array([ -5.07304650e-06, -4.03896784e-06, 1.06056500e-06])\n", " hess_inv: array([[ 0.34073774, -0.31149446, -0.34200123],\n", " [-0.31149446, 0.47704394, 0.42733023],\n", " [-0.34200123, 0.42733023, 0.5493757 ]])\n", " message: 'Optimization terminated successfully.'\n", "[-2.29274986 4.3084435 4.43623469]\n" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Support Vector Machines#\n", "\n", "A Support Vector Machine (SVM) is a classifier that attempts to separate classes of data with a plane. The location of the plane in the input space is selected based on a set of training examples labelled with a binary variable. To query the label of a new point, the algorithms simply determines on which side of the plane the point sits. In two dimensions, this amounts to dividing the input space into two sections with a straight line. In higher dimensions, the division is determined by a plane (or hyperplane in 4 or more dimensions). In general, we refer to SVMs as using a separating hyperplane in any dimension.\n", "\n", "The plane is chosen such that, if possible, it completely separates the two classes of points in the training data. This constraint is not sufficient however; many different planes may all successfully separate the training data. Therefore, SVMs use a plane which maximises the *margin*, or the distance parallel to the plane between the nearest data points of each category. The figure below illustrates this idea." ] }, { "cell_type": "code", "collapsed": false, "input": [ "util.margins_and_hyperplane()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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w0HSknOVUqvz9ITY24yihm71GrOrjz79g0s5LjIo+zxebz/F7nDuvDHnVdKxb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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both the above lines successfully separate the two classes of data. However, the green line has a much larger margin than the red line, increasing the likelihood that new data will also be successfully classified. It is also possible to move this argument beyond intuition and prove that large margins increase the probability of correct classification.\n", "\n", "Given $m$ training data $\\{\\v{x}_i, y_i\\}_{i=1}^{m}$ with inputs $\\v{x}_i \\in \\mathbb{R}^k$ and labels $y_i \\in \\{-1,+1\\}$. \n", "\n", "We aim to draw a hyperplane $x : \\dprod{\\v{w}}{\\v{x}} - b = 0$ with $\\v{w} \\in \\mathbb{R}^k$ and $b \\in \\mathbb{R}$.\n", "\n", "Then we can always scale $\\v{w}$ and $b$ such that the boundary of the margin on the negative side satisfies $\\dprod{\\v{w}}{\\v{x}} - b = -1$ and the positive side satisfies $\\dprod{\\v{w}}{\\v{x}} - b = +1$. These two are equivalent to:\n", "\n", "$$\n", "y_i\\dprod{\\v{w}}{\\v{x}_i} - b \\ge 1 \\qquad \\forall i \\in \\{1,\\ldots,m\\}\n", "$$\n", "\n", "Under this constraint, the size of the margin is $\\frac{2}{\\|\\v{w}\\|}$, so therefore minimising $\\|\\v{w}\\|$ will find the maximum margine hyperplane. For reasons of computational effeciency, we instead consider the equivalent optimisation:\n", "\n", "$$\n", "\\argmin{\\v{w},b} \\frac{1}{2}\\|\\v{w}\\|^2 \\qquad \\mathrm{s.t.}\\,\\,\\,y_i\\dprod{\\v{w}}{\\v{x}_i} - b \\ge 1 \\qquad \\forall i \\in \\{1,\\ldots,m\\}\n", "$$\n", "\n", "This is known as the *primal form* of the SVM optimisation problem. \n", "\n", "###Dual Form###\n", "\n", "In order to determine this plane efficently, the above optimisation is not usually attempted directly. Instead, we solve the Lagrangian 'dual' problem. Assume each support vector exerts a perpendicular force of size $\\alpha_i$ and direction $y_j \\cdot \\v{w}/\\|w\\|$ on the (rigid) hyperplane, then the optimal solution is the mechanically stable one (ie the one where the sum of forces and torques on the sheet is zero). \n", "\n", "$$\n", "\\argmax{\\v{\\alpha}} W(\\alpha) = \\sum_{i=1}^{m}\\alpha_i - \n", "\\frac{1}{2}\\sum_{i,j=1}^{m} \\alpha_i \\alpha_j y_i y_j \\dprod{\\v{x}_i}{\\v{x}_j}\n", "$$\n", "subject to\n", "$\\alpha_i \\ge 0, \\sum_{i=1}^{m}\\alpha_i y_i = 0$. As an optimisation problem, this is a convex quadratic program (for which efficient algorithms exist).\n", "\n", "The hyperplane itself is parametrised in terms of the $\\alpha$ weights as\n", "$$\n", "f(x) = \\mathrm{sgn} (\\sum_{i=1}^{m} y_i \\alpha_i \\dprod{\\v{x}}{\\v{x}_i} + b).\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Show that the size of the margin is $\\frac{2}{\\|\\v{w}\\|}$.*\n", "\n", "Answer have a look at these [slides](http://www.cs.ucf.edu/courses/cap6412/fall2009/papers/Berwick2003.pdf) and [wikipedia](http://en.wikipedia.org/wiki/Support_vector_machine)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Use Scikit.learn linear svm object to find the maximum margin hyperplane separating the dataset generated below.* " ] }, { "cell_type": "code", "collapsed": false, "input": [ "X2 = np.vstack((np.ones((150,2)),-1*np.ones((150,2)))) + 0.3*np.random.normal(size=(300,2))\n", "Y2 = np.hstack((np.ones(150),-1*np.ones(150)))\n", "\n", "from sklearn import svm\n", "svm_instance = svm.SVC(kernel='linear')\n", "svm_instance.fit(X2,Y2)\n", "\n", "util.plot_svm(X2, Y2, svm_instance)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wQHF5S4sZrVZazPjVWi1yJTR3vVarLdaUqRfnXop90Wql1y77Jg8OsT4q6W27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\nvOxzZp7PWix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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: Now come up with a new dataset whose two categories do not overlap, but for which there is no way to separate them with a plane. Bonus points for creativity here.* Run a linear SVM and see what happens." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#X3 = ??\n", "#Y3 = ??\n", "\n", "#####\n", "\n", "#util.plot_svm(X3, Y3, svm_instance)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Beyond Linear classification##\n", "In more complicated data, it may not be possible to draw a straight line between the classes (the data are not 'linearly seperable'). To ameliorate this, the data can first be transformed by some function $\\Psi$ that maps them into a higher dimensional space. Depending on the choice of $\\Psi$, the data may now be linearly separable and so amenable to SVM classfication.\n", "\n", "For example, the figure below (top) illustrates a dataset in 2D that is not linearly separable. However, if we perform the transformation\n", "\n", "$\\Phi : \\mathbb{R}^2 \\rightarrow \\mathbb{R}^3$\n", "\n", "$\\Phi(x) = ([x]_1^2, [x]_2^2 \\sqrt{2}[x]_1[x]_2)$,\n", "\n", "The resulting dataset *is* linearly separable. The transformed data is illustrated below (bottom).\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "util.nonlinear_example()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jF1FRUe/so6urKw9vX9c+Bfjg5lWsrK0/a7JQOzs7zp05TUhICGlpaVSoUAEr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\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9Cc2KK1l66jRZWVnI5XJKlSr13oblv3P+/Hm+370LE1NTevXuQ0JCAjOnTibQSYpcmnP8\nVtvZiOU3w/Ncm5KSQrXKlXCXpuFmrsf4Qz8T+SCCiZMm/x3L/tto37ET7YdNplr9xqQmv2Hq180I\nbNiAevXq5WtfpEgRihTJnWO5cuUqKtapj7FpzmfXt2Ezdi56//G2VCplxfJlrFi+7K9bSCH/7ykM\nugr5j+D30nqtVkuDwCBS1BLK167P/sOHOXf+Avv2fo+J3ICV4wfiVaEK5w5+T7fu3TExMaHb110Z\nM34i+lIDVNlZ7F+zgC0bN+SZ48WLF6SmplKvdRcAylSrjXvxMoSFhREcHJyvX63btqPRNwPwa96O\nxNgYpn7Tglo1a35xIvTvHDp0iCH9etOvgiVGUj3WLJiFgVTK4KHDdDZyuZwTIWepVqk8F5++wMvK\niCn+LjxMyOTUjWuUKVPmL/Hlz2zYsJ6B/ftjJJNiaGzCwUNHdEna/v7++Pv7v/fa4MaN2bR2NVlZ\n6YS/SqO4tRE/3EmgZHEvXcD1Oy1atGDTuprMCL1KOaUel2I1NGvegkO//srwoUOwMjUkVaXlhx9/\nYuvO3R/1W6PRcPDAj4Q+esVVRyne1kb8eD+JMqVK5prb0tISPX19opKyKGljrAvQStsas/NmHOam\npgwYPAS/WnuBeIykeuyLTGPD1pXvmfnjXLp0iWvXrlG0aFHq16+fr1TFjRs3aFgvAGsjfZ7FJSER\nGsbVciJDLVgU+hIkkgIHfr/88gtdO7QjyM2QRyqouHIlCC0lLeDKCzVBxRRI9SRcisnAyztvAv6B\nAwdQijT6VcrJpavsqGLgrFlM+EyZjS/h0qVLXLlyBVdXV4KDgws8v1ar5fHDSCr7BwJgam5Jycq+\n3L9//71BV35kZGby+Pwpvuo1BCMTU0KPHsTE1Oyj1xVSyB/5kqBLCewGigBPgDZAfv03ngDJgAZQ\nAVW+YM5C/su5desWd+7dZ84Pp9CXSqnZqAXDmtUkKiqKUyeOM3/BAp5EPWTot33o0aMHAJ07d0aj\n0bBm3Rr09fVZs3IFQUFBecZWKpWkp6UR++IZNo7OpKUk8+xx5HuTjzUaDRH37jK+SWsAFDb2lK1e\nh/Dw8L8s6Nq1fSstPI0pb5+zU9e1pJad27bkCrogJ4k9KLgJL8/9RLdyOSKh9xOzcSn5/orHP3Pi\nxAnWrVqBvlRK/0FDciW1Q47u06tXr/D09CQ6OpoRQwYxJ8ABZ3M5px4n0axxIx5HP0MikRAbG0ts\nbCzu7u4YGhrmmcvf35+Fy1YwYugQvgt5TrZGUKVSBX7Mp6G0np4e+346yJo1a7h3+xZDKvnkVPhV\n9WFugAMOZjKuvUyjVYtmPI95jZ6eHtevX0elUmFtbc327dvIzMigdZu2lCtXjimTJ3Hr3DFG1nBk\nXdgrYtPUuDg7cjb0UK55pVIpc2bPZuK4MRjrpVPf3QIzuT4H7iWQrZWwasVKypYty8mQsyxbvIiM\nrEx2ze6hq2L7VBYvWsiMKZOo6GDCvfhMGjRpwaq16/MED53bt6Wdp5yAohZkqhWM/C2K+AwN1V3M\naFlSSThOBU4QnzxuNH3LW+oEXF+EPEeip8/ganbMOvucfgcfIZFAlkRGPQ8Tzp8/j6+vL9u3bWPU\n8KEkJiWhlOuRqVZgKNXDVKaPSq1Bq9X+o0UpK1auZNKUqVSoVZdHt1awc/cetm3ZXKDAS09PD08v\nby4c+YmawV+RnBjPrYtnGdOve772SUlJ7Nixg9TUVAIDA3UPNQ0bNmDjtp0MaVYLS2tb4mOe07Rx\n4790nYUU8iHmACPf/n8UMOs9do/JCdA+xr99PFvIfwBXrlwRbsW8xfar0WJH2FOx/Wq0cCpSVNy8\nefMvGX/R4sXCxt5BlKxUTUgNDIRMLhdlypV/b+sb1yJuYviijWJH2FOxLuSOcPUoJn777be/xBch\nhOjbu6doX+ZdgvgwX0fhV6NavravXr0S7kVchI+brajqbitcHO0L3Bbm0KFDwsrcVPTxsRM9KtoK\nhZmJLrFeCCFmfjddmJsYCQ97pbBRWIpOnTqJGh42uVrWGBvKREJCgpgxfVpOHpatQjjaMLxkhAAA\nIABJREFU2YgbN258dP6P5bKo1WoxZuQIUcTJQRT3KCqGDh0qqnnY55rfytxEREREiNq+1YSrjaUo\nYmMhjAz0RePi1qJtaWuhMDMWRZwdhbmhgRhW/V2i/xR/F1GjSqX3zn3y5EkR4FdHyKT6wtBAX5gZ\nyoSXexHRolkz4Vu5omjZrIl48OBBge7z+0hOThbGhnKxtqmHONC+uNjVyks4KM3FlStX8tiaGBmK\n7S2L6fxv6q0QncvlvBetSlmLQQP6F3jeksXcxbwGRXRj+buZCQ9rE/FjO2+xv523mObvIiQgOpax\nFj0q2gqluYlYsmSJsLYwFXMbFBFbWniKqs6mopSNkZjXoIjwLWot2rVq+UX34nd+z69LSUn5oF1m\nZqYwMjYRC386K3aEPRWbLjwQLkU9xJkzZ/K1Dw0NFWvWrBEnT57Ufe/69evCwdFJFC1WXJhbWIrx\nEybme21CQoIo5uUtfOs3Fo069hAKpZXu5z0jI0M0CAwSCqWVUFrbiKrVfXVFDYX8b8I/3AboHlAH\neAXYA6eA/AR6HgM+QPxHxnu7hkL+l8nOzqaiT2WKlq9GJf9ALh39mZf3w7l8MTRXSbtKpUIqlSKR\nSIiOjubq1avY2dlRvXr1jz79btq0iSHDhjNh/T7sXYvy08ZlPL5yhosXzuexPXfuHM2at8DRzYOX\nT5/Qrk0blixe9JcdrUREROBbtTJ+TjKM9OHXJxns2XfgvbspJ06cYPTwoWRlpNOpWw+GDx9RIF8a\nBtShTGYktd1yJDYORiSQ7lmHbbv2cPnyZZo0qMssPzuURlJCn6Ww4MJLjKV6LA8uiolMn/txGXwX\nGs/BXw/RumkjZtbJsT35JJlfX8m4//DxZ9+DO3fu0LP7N0TeDqdbOStMZXrMvxQHwPy6jlgZG3Av\nLoOZofH069+fM3vWMcTHis3XXyORSPimgi0A56KT2X4zjor2JmiEoLdPjn7UnjsJqIvVZNf3P3zQ\nj/lz57Js7nR6lbUgUy1YGPqSFsWVSPT0OfJMRfjtu9jY2HzWGqOioqhcvjTrgt41VZ5+MZHJSzfQ\nqFGjXLaVK5SjovQ1wcUsScnSMOTwE0rZGqEwlnH2pZoLl6/g4eFRoHmnTJrInnXLaORmxJYbscSm\nqTCSSXG3MqGSnYyjj1JwMNFjeA0njA30Of7oDYfjjChvlErHMjlHirFpKgYdiaaoWxH869Vn9tz5\nGBkZfdZ9+J379+8T2CiY1NQ00tNSmTlzBgMHDMjX9vXr13h6ebH65C3d9xYP646duTHpGRl4FSvG\n9GlTUSgUzJk7l/kLF1Gmai3uXbtEm5ZfsWD+PADS09OJiIjAxsYmTwug35k1axaHzl6mz7TFAISF\nHOPIxiWEXw8DcmQ2Hj16hEajwdPT87MkKQr57+GfbgNkR07Axdt/3ycQI4Bj5BwvrgY+3BukkP9p\nZDIZJ44dZejwEfy8YialS5dm629HdAFXbGwsrdq05fzZMxgZm9C9ezc2bdqMW4kyvHjykJrVq7H3\n+z0fDETS0tKoUjcIhyI56u3BnXvzzcr5aLVa3rx5Q3JyMi4uLujr61OjRg3u3b1DeHg4dnZ2uZKW\nY2NjmTd/Pq9ex9KgXl3at2//ycGYl5cXFy5dYe2aNWRnZXJobWeqVMn/BP7mzZu0atGMDt6mKG2l\nrJo/E7SCEQVI7Fer1Rjov/NNpqdHsjqnhc2dO3cobWeC8q2QalUnU7Raga+LKX0PPqKojTlRySq2\n7djJnTt3KGdnrLOtU8SMJaERqFSqPHlGQgiysrLyPX78nevXrxNQpxb1nOW4uJqw4nIME+o409zT\nlAjDogw7cQtnhSnPEtPZtnMXWzaspaKNAfp6OQn3zubv5lQaSZHrS2hT2ooxx6IZfTQKQ0M5r9Uy\nzh1Y8NF7tGfnNrqXtqCUbc5Rb4cy1jxMyGRAVQcepSRy+PBhOnf+dIVzACcnJ0zMLDgcmUQDD3PC\nY9KJjEujQoUKeWy37/6eBnX9ORz9isTUDJo3b4WVtTVGxsbM79X7o0r1f2T8xEmo1Wrmz5tDjwq2\nBBQ1J+xlGosux+Eb3Aq9V79wPSaGr/dH4mVlhJ+bOW/eJPH0D8UDz1OycXZ24ua9B5+19vxo2boN\nAW27Ua91F2JfPGN6j6+oVrVqvp/98PBw1Co1B7esJrB9N+6FXeTGxXOU9qlOnRYdCD93Av+69fj1\n4M9MmzadWd8fQ2nrQFpKEqNb1aVXzx4UL14cY2Njypcv/0G/EhITsXv7ewHAoYg7iYkJuq8lEkmB\nA95CCsmPjwVdR8nZxfoz4/709Ye22WoALwGbt+PdAwre76SQ/zlsbW3ZsmkjQog8eSOdunTF1MmD\njec3EBP9mMndWtC67wgatO1KVkYGI1sHsHTpUl2T2/xwcnLi8Z1w1KpspAYyHoSHYWtnz7jxE1i6\ndClGJibYWFtz5NCvuLi4YG1tTUBAQK4x3rx5Q5Wq1fCuUgtnj+KMmTiFJ1FRjB0z5pPXW6xYMebM\nnftRux3bt1HPxZAGnjm9+CyNpIyfMJa5c2axYNESOn0gIOjZbwBD+/VCTwIqrWD3/VS2T+8DgLe3\nN7dfp+mEVK++TMPcUJ+eleyQ6klQFa3CgdVrcHV15eTJk9yJyyQ1W4OpTJ+rL9JwcrDLE3CdPn2a\ndq1bEZeQgIujA8NHj8XOzo6aNWvmyqGbPWMaX3ma0NQ7pz2SwkjK/rsJ2JjKqdnAj607dvH06VOK\nFy+Ora0tN65f50DYWWq5Cio7mbLk4kvcFYaYyPRYffU1TmYyzOVSZtZ1ZVxIDPVadGbKlCkf7LW5\neOEC5syayZs3b9CzMaSUbU5SfXKmGtnbQFWlzftZ/DOJiYls3ryZ5ORkgoODqVSpku41qVTKr0eO\n0qp5U1bvjsDOxoq9+w/kWzXr5eXF/chHREZGolAovqhtjL6+Pp26dGXTmpXUc89pSu3jaIqHTTZO\nLq6IzFTWN/PEXK7P2quv2HDtNSVtjbnzKpPJp57hqjDizLN0tuz4eAFDQVGr1dy9fYsxG38GwMbR\nmXK+fly7di3foGv6jJm07jeCs4f2s3PJDIxNzZFIJAyatxZ9qZSKtesxoWMQp0+fxtLKCqVtzj01\nMbPAwdWNmJiYAndJCGzYkHYdO1HO1w+lrQN7ls4kKDDwL1t7IYV8LOh6f3fQd8eKMYAD8Po9di/f\n/hsL7CcnkT7foGvy5Mm6//v5+eHn5/cR9wr5b0Or1TJk6DBWr16FEIKuXb9mxfJlup2us2fOsOiX\nC+hLpTi5F6NGUHMy09MAkBsZ4V2hCitWrvpg0NW0aVO2bt/BxE7BOLsX4/bl8wzo/y2bt+9i/oGz\nmFkq+HHdYrp+040Tx47mO8YPP/yAg0dxuo6aDkDparWY1LnxZwVdBUVfXx/1Hx5tVBot1kZShla2\nZMiAfnh5e793l6xdu3YIIVi9bDESJHTtWYOoqCiioqKoVq0avfsPZNCihZhLITY1k3G1nUhTabmX\nDKPbtsPV1RXISZBv1aELgzZtwNHShOfJmRz4U+/D2NhYWjZrSv8K5pSy8WD4b1HMHDMUFxtL+iZk\n8duJk7odh7TUVJzk74IZS0MpUUlZPMqUsWzAAJydnXPt7AwfMYLQc2foc/gsUn19rO2d2PxYgkql\nou5X7flx3z4mX0jgxZt0KlSuysKFCz8YLO3atYv5301hVBUlRlJzZp99wXchT3FXGvHz/UTalFKy\n4UYCr9Sy91a4Qk7AVblCOVwMMrGSw+L5c9m8fSeN/5BoXaJECW7ff5DvruCf+V0O4mMIIdiwfj1b\nNqzFyMiIUeMn5akqtbGx4U1aJvHpKqyMDUjL1vD8TTpRTx7j52KI4u2uZfMSSs49TWF8bWfSszWM\nPvUSz1J+HN8+9qM7RJ+CVCrFzt6B25fPUaZqLTIz0nkQHkbR3l/na5+eno5LsRJM79AdrVbLj+uX\ncmTHenKlowhBVFQUCbGxnP1lHzUateDG+VO8jHpE6dKlC+xbQEAAc2bOYNzovqSnpdK0WXMWL1r4\nZQsu5L+GU6dOcerUqX9t/jnkJNADjCb/RHpj4PeaWhPgHPA+caB/LRmukP8cFixcKEqU9xGrjt8Q\na0/fEmWr1hRTpk7VvV6kqLsYu3Kn2BH2VGy7EiU8SpUXNYJaiB1hT8WCH0OEhdJaeJcoke/Yqamp\n4tWrV0Kr1QqtViuOHTsmduzYIR4+fCgmTZokmncfoBNYXfHbVaGwsnqvn8uXLxcBzdvq7NecDBdG\nRsZ/q/hhRESEsLIwF53L2YpB1RyEvamB6Fc5J9m8WSlbMWfOnI+O8ebNG1HSy1NUcbMR9bzthNLC\nTFy6dEkIkSOkevjwYeFTvqxQmBoLY0O56NenV75runv3rjh16lS+grEnTpwQ5YrYigPti4seFW1F\nZUcTsf+tsOuAqg6iuk9Fne2O7duFs5W5mFHXVcyq5yocLIxE82bNxLNnz4RWqxU7duwQvbp3E5Mn\nTdIlXGu1WvHo0SNx//79PIKgoaGhwsHGSrhYmQtLU2PRv1+fD74nHdq0Ev2rvEvYnx7gIpztrMSg\nAf3F+LFjxVdNgkX/vn0+qtY+Z84cUdfTOpeIasliHh+85q9g5coVwtXGQkyo7SyGVHMQSvPcBRK/\nM3vmDGGnMBMNi9sJV2sLMfDbfmLp0qWiipuV7r0ZVM1eeFkZ6tYQXNJWLFq06G/x+/jx40KhtBKV\navoLB2dX0aNn/p8zIYSYv2CB8ChRWkzd8pMYs3KHsLF3EBV9KgvfBo3F0AXrhF+ztsJCoRRmFpai\ny4gpwtbJVUj09ISlQilCQkK+yM8zZ86IZi2+Eo0aNxHff//9F41VyH8f/MPiqLOAPUB33klGADiS\nk7cVTM5O2L4/zLUd+O0L5izkv5wTJ09Rv103zBU5Ba9BnXpxYt8mJk6YAMCqFcvp0LET5WvWJSbq\nIVJNFldP/0ZPvzKos7OwdnCkTes2ecadMmUqs2bPRi6X4+7hwS8//5QrWd3Dw4Pvf/oVVXYWBjI5\n4aEhFC3qnmec3wkODmbCpEmc2LcDF8/i/LR+MUGNGlGlWnVu3QzH3cOTLZs25jpi+lKKFStGyPkL\nzJ01gy3799HQzZyGnpYIIXiaqs2T5P3s2TP27t2LEIKGDRuSnp7Orl07sde+YVB1awBOPNZj6IBv\nORN6SSek2qBBA2JiYjAyMsLS0jJfX4oXL/7eIxt7e3ueJ6aRmm1BXLqa4jbG6L3NdStpY8SPV5/r\nbNt36EBKSgpLFsxFCMHYqbP4dsAAJBIJY0aNZMvqpQS6m/Pr4XRWLF1M5JNozMzM3pvXNGRAPxq5\nGtDUy4a0bA0TftjN/rr1+eqrr/K1V1pZE3NHo/s6JlVFqVJlWLQk/z6Y7+NNYgI2f0hdszc1IDkl\n+ZPGUKlUREREYGhoiLu7e4HyA9euWEbPMuaUtcvJQ0vIVLNp/TqqVauWy27k6DHU9vMnPDwcT09P\nAgICyMrKYs+ObYwJeYCViYxr0fGUsjUhLl1FdFIW55+mMfsTdKw+hYCAAG7dDOfatWvY2dlRqVKl\n9653yODBqFQqNs8eh0xmwOIF82nWrBlDhw1j3dSROHl44V66Iu4lyxLYvhuB7bvx+N5N1k8cRK1a\ntT7bx4sXL9K0WXNa9huJoYkJ/QcNITs7mw4dOnz2mIUU8s+q232Yt4FjIf/L9Ordh9cqKW0HjAbg\nwIalEP+UXTt26GwiIiIICQnBysqKJk2asGLFCr6bOQuNWk3nzp2ZO2e27jjy8uXLtOvQkWdPn+JZ\npgJ9py3m2J7NZMY85vCvv+jG1Gg0tG7bjktXrmJt78jLJw85cvhQrmOVyMhIOnbuwq3wcIp6eDB2\n9Cg2bNpMXFwcAf7+7Nu/D7/W31C7SWuunTnG7kXTuX/v7gfziT6XgwcP0rVjO6o5mfIiTYORvRsn\nQ87qVOkjIiKoWb0qFW0MEELL6UeJOCjNeZ2URikrGePruADwJDGTZfe0RDyO+iJ/UlJSGD9mNDdv\nXKNEqTJI9PQ4sGcnCrmE10lpzGlQBDOZPmuvxfFQbUqHzl0ZOGhwnnuTnZ3Ns2fPUCgU2NpYs76p\nO5aGUoQQDD0SRbXAFmz/w2fhzyjMzVhczx5Lw5z3f2t4PGXbDmDC26D9z0RHR1PVpyJlFXrI9eHs\n8wyOHDtB5cqVP2n9Z8+epUXjIIZVVmJjbMD6m0mUrduUVWvXF+j6V69eUd+/Dm9iX5GRraKOfwC7\n9u77aBPqKhXKEmSRSCXHHB2u3bfiUdZsydIVOQKuQgguXLjAq1ev8PHxwcXFJdf1KpWKY8eOkZqa\nSrly5Zg0bgzHjh9HqVCwZMUqGjZs+En3oSA8evSIGzdu4Orq+kUPJbNnz+bktbt0HTWdfWsWkRQf\nyzdjvgPg1sWz/Lh8BrfzUdkvKD169iLT3J7gTr0AuHbmOGf3rOP82cKU5EJy+KerFwsp5C9n0sQJ\nVPetwavoh+jpS3l0M4xzf/ol5+XlhZeXl+7rgQMH5pvD9fr1axoFN6bd0ImUqlyDo7s3M39Id4Yt\nXMeULk1y2err6zN08CAOHz6MlZUVXbt2Ral8Jy+nUqlo0DCQmi060Wv2OsLOHGfwkKG6oOr+/fvs\n3vsDDdt9A4BvYHNO7t3KjRs3/pbcxMaNG3P6XCinTp1CqVTSqlUrZDKZ7vWpE8cT5CqnZYmcoMbe\nSEJ0UjaTfYsw4NBjLj5LoZy9CXsfpOJft8n7pikQGo2GoPp1MUp8Qk0HOZdORZJg7Mim3T/w+PFj\nzp89Q6+dO5EIgYEeNPOScG7nSnZu28rlazd0gcHDhw+ZMnE8ekJDamY2QqvFVJaTjyWRSLAy0v/o\nH9Finu6EPosl0NOCTLWWmwkaWnt7v9fe1dWVa+G32LFjByqVinktWuT6bH2I1NRUpk2ZzJ1b4ZQp\nV555i5cxZcI40tJTaNq0KYuWLi/wPRzQrzfF9BLpUs8OlVYwM/Q8y5cvZ9CgQR+8btjocQzo3YMW\nqdlka+FQVAant/cDcgKurh07cOroIVwsjbj7OpXde/dRv/67VF0DA4NcQsI7PyKr8SWo1Wqaf/UV\nx44eQ2ogQ19fn549ujNv7pzPGk8ikfD7c7p/i3aM6xAMErC2d+borvWsWPZpu5X5jc+fNgL+aRX+\nQv77KAy6CvnHyMrKYsmSJTyIfEiF8uXo3bt3Hp0bJycnrl8L45dffkGr1dKo0YbP1ka6ePEibsVL\n4duwGQAt+wzl6PdbuHr6KM5vE8N/Z+KkyazbsJHiFatx58pmUlJSmTjx3e7I48ePyVKpCeqYo4Jf\ns1ELQvZv1wVVSqWS5DcJJCfGY66wIjMjnbiY51hZWX2W7wWhdOnS700Sjo+Lo7zpux9vJ3M5d2Iz\nUBhJKetowfyLr9FqBc2aBLNwyZf1houIiODxg/ssb+CAnkRCRQcTBp+IQqlUUrduXXr06MHylauw\nsVIyv54jdqY5weGM0HjWrFnDkoXzUeireZ2YhJEezG3gxus0FSOORjH7zHM6lrMmIi6T27EZtPQr\n+0FfNm3bSf0AP06+iCM+NZPGzZrTunXrD15jb2/P0KFDC7TWu3fvMnn8WOLjYol++hQn/XSq2Mk4\nu/caF52KE/kk+rO0m26Fh9PLI6fvqExfQmVbKTffakO9j4yMDHZu3UxKRiYbr6fj7ubK0RO/6hTU\nDx06xPkTR5jvb4dcqkd4jAFdO3XgxavYT/bvr2DipEnce/yUOXuPk5aSzKLhvVi3fgPt2rbBx8en\nwOOo1WrmzpvH4d+OEnb1KkYmZhQtWQZzCwtUsU+xsVfw/e5d+Pn5kZ2dTWJiIjY2Nrr3JSMjgzFj\nx3E6JAR7B3sWzJ1LiRIl8szTs0d3AoMaYWhkgqGJCd8vm83USfnvmBZSSEEpDLoK+UfQaDQ0atyE\nZJWgVNU6LFu3idBLl9mcT49EpVL52XpIf8TS0pLYF89Rq1RIDQxIio8lIy2Vn9ct5vChdxV3UVFR\nLFm6lNl7T2CusCIpPpZRrQLo1u0bnJ1zxCwVCsXboCoBc4WSrIwMYl8+0+2G2djYMHDAQKZ3/4py\nNety7+oFgoOCPqly6q+kcbMWLJkxCTdLORIJ7LoZR30PSxIz1EQmqgg5c5ZKlSr9Ja1cJBIJWiFy\nNgXebgRotSLXroBcLkelVmP2h0pFc7ke2zdvxM9GS8sSVmiFknnnXrD7VhwqrcBcLiUsJo07sekY\nSPVQWNkwb+GifH1ITEzk1q1b2NnZcT/yEbdu3cLS0hJvb+9cfggheP78OSqViiJFinxSgBQdHU3t\nGtVp4maIGYJrMQnMbuqBvp6Eas6Cfr/d4O7du5iZmWFhYYGFhUWBx/YuXoLQ6Ku4Kw1RawVhsWra\nlv5wT80J48YQd/cy25p7oNYKpp+L4djR33RHdlFRUXgpZbqm1qVsjXl1+hkajeYfbeHzOwd+Pkjn\nYVOxcXTBBgju3IsjO9cTHR39SUHXt/0HcOFaOPXbdcPKozTHvt9ClWdVGDNyGL179dK933v27KFH\nz17o6etjbmbGzz8doFy5cnT9phvRsW9oPmACj+/coI6/P+HXr2Nvn1sdqUqVKvz80wFmzZnL5StX\nSUtNYdiIEVy8dJl1a9cUCqMW8v+ef6sAoZB/gNDQUOHq7im2XnosdoQ9FRvO3RfmFpbixYsXf9uc\nGo1GNG7aTJSqVFU0++Zb4eBSRHTo2DFPJdrFixeFV6myukrEHWFPhUfxUnlatIwZO064FPUQjbv0\nFp4ly4guX3+Tq+JKq9WK1atXi/79+4tdu3b9rZWMH0Or1YqJ48cJa4WFsDQzEaZGclHMQSksTIzE\nd9Om5ntNZmam2Lp1q1i8eLEIDw8v8FxqtVrUqVFd1PG0FqNrOomAYjaiehWfPJWF7Vq1FDXcrcXC\nQDcxqJqDUFqYieIebrna1PStbCcs5PqisZdCDKrqIFzNZUJhqC+sTaTC26OoyMzMzDP/uXPnhLXC\nQpRysRFW5iZi2JBB+fqZnZ0tWjVvJixNjYSNhamoXrmSSExMLPA658+fL4KK57TjWdjQTTiaGYgf\n31b+7W/nLRwUZqKoi7OwtjAVxoZyMXXypAKP/ezZM+Hl7iY8HZTCUWkuGjWoJ7Kysj54jW/limKq\nv4vu3g2t7iBc7K2FRqMRQghx6dIlYWNhKlY3cRcH2hcX3SvZi3Kl8q/s/Seo4x8g+k5dpPsZC+zQ\nXRibmn5SiyWVSiUMZDKx7vRt3ThV/RuK7du357KLjIwUCqWVmLHzsNgR9lT0m75EOLu4ioyMDGEg\nk4mN5yJ01/s2aCy2bNny3jk7dekq6rfuLLZdiRIbzt4TpSpWFStWrPjs+1DIfw/8w9WLhRRSYDIz\nMzExt0D/bWKw3NAIuZERmZmZf9ucenp6/LjvB7Zv305UVBS9V6/MtxG2t7c3CbExXD55GB+/hlw+\ncZiUxHi8/5QLNOO76dSuVZMbN27wddOcirjfn6o1Gg3tOnTkzNmzmFsq+fngL/j4+Pxr6tUSiYQp\n06YzZVqOjlhycjL379/HwcFBt3v3RzIzM/Gr6Ysq7ikOxvpMmTCWTdt20qTJh/O9VqxYzqgRw8nI\nzMLV2RGZ1J0KjSsxeeq0PLspG7ZsZfiQwaw+9hs2Ni4cPrqMFUsWcfTyUdwVhmRrBEcikzCX5wiz\nApR3MKHPzw8xFBKykhO5evUqvr6+ucZt36YVvUqbUtXZjNRsS0Zt3URwk2Z59KoWL1rI47CzrG3k\nglRPwupr0QwfMoh1GzcX+L7+nuLjailHrq/H0ksx1HQ148KLLLI0WupZqWhV05nEDDXjly6kmm+N\nXDlU78PJyYkbt+9y8+ZNDA0NKVWq1Ed3UhydnLkR8YRy9iYIIbgTm05qSiahoaH4+vpSuXJlJn83\niyHDhyGT6mNra8svR34q8Fr/amZMn0aj4MY8vH2dlDcJhJ0+yoL58/D09PziscWfcq9u3LiBd3kf\n3LxztM5qNmrBjgVTiIuLQ09Pj8yMNORvWxllpqWip6fHgwcPsLS0zJPOEBYWRofRs9DT08PQ2IQq\nDZty+WoYfb/Y60L+FykMugr5R6hUqRIZSYn8tGEZZWv4c+anPbi6uFCkSJG/dV59fX26dOnyQRsL\nCwvmzp7NoMGDWTyiN45Ozvz80wFMTU3z2AYGBhKYj0L1pk2buPswitk/nEImN+SXravo1acvx4/+\n+wopDx8+ZPnSJWRkpNO2fcd8g64dO3agiXvKxOpWSCQSajjKGdC3ty7oioyMZPOmTWi1Gjp07ESp\nUqU4ffo0U8ePYW6AI7YmBqy/EQ8yOX4BdRk7ehS29vb07z9AJzthZGTE8lWrc827cOlymjYKpPsv\nN8lWayhdujTSuEe61+X6ErQC5Pp6ZKqy8wRyKpWKZy9iqFwrJ/ndVKZPKWtDIiIi8gRdYZcv4etg\ngEw/J5jxczFiz9UrBb6Pbdq0YdZ30/j+bgKOJlIkMjmpCndOZEop41+Bs5s3E+iR09tSYSSlsr0h\nYWFhBQq6AAwNDT+panLEmHHUqVGdB/GZqDSCdJUWF6U5qampOpt+335Lt+7dSUpKwtbW9l9NBPf1\n9SX0wnn27duHSqViz7rl+X4WP4RUKuXrr79h8Yie1G/XjSd3wnkeeTfPw5SrqyuP790mLSUJEzML\noh/cRa1SYWtry6BBg5k/sAv+LTvz+M4NEmOeMX7iJLKyVaQkJTJw4CC+mz5NN5aHuzu3QkNwL1kW\nrUbDnUtnaVb386UoCvnfpjDoKuQfwdTUlJMnjtN/wEA2HfuZChXKseXXXz74NC+EYOfOnZw5ew5n\nJ0cGDRqUbyD0pfz8888MGzGSOs3bk/DqBa8f3X9vBZtKpeK7GTP4/vu9SKVS+n/bjx49enD33j1K\nV6+DTJ4j1uTjF8i8vVv/cl8/lYcPH1KtciX8nWSYGUhovXsX6zZvo1mzZrnsYmPSymprAAAgAElE\nQVRjcTaV6P4ou1rIiU+MJS0tjWFDh7B18ybqu5tjoCeh1vJlHDl2gjNnzlDT0RBHMxl7bsdxNCIe\n7f1jXDwXQpNiFtxNE2zduIEr18MxMzPLzz0sLS05fe4CMTExyGQysrOzKVe6JAfuJeChNGTnzTis\njKVkqrUYy4zySAwYGBjg4eZKSFQyfm4WJGaoCX+dwYQ/5NJptVp+++030rOyufZaRUBRgZ5EwpWX\nGZhaOJKdnZ2r8vN9ODs7cy70ElMnTeBWfBzDJ31Fn759dffs0K8HuRGTRg1Xc7I1Wu4mqmn3CX0S\nPxUfHx+KFSuGaVoMleyNyNTAz9GqPIGboaHhB/tffi5Xr16lZ+8+PI2OxqeyDxvXr8+TF/Vnihcv\nztixY79o3hXLl+Uk0v+0nZTkZIKCAomIiMilTebj40PH9u0Y3z6QosVLc//GFdauWY1MJmPWzBl4\nFfPkVEgIFT2dSYyKoGTtIII69SQ5MYHvenxFrZo1dA9XSxYvoo6fP7cunCItJRkne1sGDx78RWso\npJD/BP7l09lC/tMYM3accPcuKToPnyxqBDYT5StWEhkZGZ88TmRkpKhctZqQGxoKr+Il8ih2Fy9Z\nSoxZsV2X41GrUQsxf/78fMfq+vU3wtreUXiV8xFf9RosbJ1dRVCjRqJKterCys5RTNv2i9gR9lS0\n7jtMNAgM+qx1/5UMHTxItCr1Til9Qm1nUbl8mTx2Fy9eFNYWpmJ+Qzexq5WXCPS2EcGB9UWNqpWF\ns4Wh6FLOOlfeVdNGDcXatWtFpSJWYmQNR+FsLhMbm3sKM5m+WB5cVGdb3d1GbNiw4ZN8PnLkiDA2\n0BMOpgbCx9FEmMv0hJ2JgRg0cIAQQohDhw6JLh3bi769e4p79+6Ja9euCQdba+FmpxBmxoZi+tQp\nurE0Go1o1byp8LRXCL9idsJEpi8cLY2Fk7lMmBtKRTF7S1HNp+Jnfa7+yOHDh4W5iaEwlemJUjZG\nQmEoFfX86+jyq/4uXr58KYIb1heOttbCt0olcevWrb91vt+JiYkR1ja2ot/0JWLZ4Uui6dd9RaXK\nVQqcx/jgwQMxZMhQ0advP3Hq1KlPnv/x48fCxs5ONOrYQ7TpN0IorW3EoUOH8thdunRJ7N2794N5\nY8YmpmLt6Vu6n//GXXqLWbNm5bJJTk4Wx44dE2fOnBEqleqT/S3kvxMKc7oK+W9BpVIxf/48lvx6\nEXOFFUIIZvRqzW+//UbTpk0LPI5araZhUCN8m7Sj7/xNhF84TeOmTbl7+7Yud+PNmzfYOr875rRx\nciUxMTHPWFlZWWzbthUbRxfGr9mD1MCAhu260T/Qh87DJuPuk8y0Hi1RWttgZmLCsd+OfPmN+EIy\nMtIxNXh3pGQq1ycjIyOPnbe3NzXrBDDp6BGystXUr+tP3/6D6NGhFe4WBlgZv+sVaGVkwL3kZDp3\n7symdWvYFH6LQHcLlEZSsjRanTApgIVMj/T09E/yOeT0KRp4KvimfM77c/t1OjPOvmDI0GHs2rWL\nQX170sLThKRsLTV27+bCpSs8fBLNw4cPsbGxydVQ+/Dhw1wPPcOs2rYY6Eu4V0TO+JNPCfSwIPxV\nOo9eveFp3HWGDBnCypUr8/UnMzOTKRMncPniBTyKefPdrNlYW1vnslk4dxY9yioob29CZEIm4a/S\nkSuVf0uFmxCCyMhINBoNxYoV4+Dhf/4IOzQ0lKIlylCzUQsA2g4YQ9+AssTGxmJra6uzu3r1KqtW\nr0Gt0dD9m6+pWbNmzu6rry+1mrTFxNKKlq3bsmHdmk/6uV62fDnVgr6i/cCcXTMnDy8mT52W5+i/\ncuXKHz2yLeruzvWzJ6gR1IKsjAzuXb1A1ya5lfjNzMxydbAopJDPpTDoKuQ/EpVKBYCxaU6OjEQi\nwcxSkW/A8GcOHz7M8RMnsLezIzAwkJTUVII69QSgSt1GnPphK2FhYTq17cbBwexaNJ1OI6YS9/IZ\np3/cxdD9eUUifz9GUtjaI33bsNjUwhJjU3PK1wzA2sGJ1OREHA0FS5cuLdCR1d9N+46dabFzJ45m\nKZjL9Vl/K5nug0bmsklPT6dmtSrYaxPoXNqS40+zKVGqNBs3rEOKlmrOpuy8GYeDqQypnoTtd1MY\nPqkjcrmcEyFn6dWzJ/dP/4QQAl8XMxaHvqRzORui3mRx8UUaS/NRNT9//jwPHz6kTJkyeZopZ2er\nMNR/FygaSvWwsbGlSJEiNA8O5NvyCso75LS9ydbEsWb1KubOm5+vPMfLly8painH4O14XtZGqDSC\nqy/TaFRMQWMvBRHxmUzdtIERI0bg7p679ZMQgpbNmpAUeR1/Z0NuXHhAnRohXL1xM9eRnUatQaon\nwcJQSiVHU+Iz1LzWaviryczMpEWTYMKuXEKt0SKXyahRqzZDR46mevXqf/l8fyQ7O5sRI0fxw74c\npfyMzCw0ajX6UilJ8bFkZ2XlOv6/cuUKDRoGEti5D1IDA5q1+Io9u3byyy+/UqtJW9r0z2nd6+Dq\nzqQpU6lYsSJOTk4FyjtLTU3DQvku4d3Sypa0tLTPWteWTRsJahRMyP4dvH7xjPr16tKyZcvPGquQ\nQj5GodBIIf+RGBsbE1C3HhumjyQq4g7H927j4c1rH1V3X7ZsGd/07E10Guw7epq27dqTkpTEm7jX\nAGRnZvDqWXSunYolixdRsqgzU7o0ZvP0ESxfupgaNWrkGVsmk9GuXTue3L3JyR93Ef/qJbuXzcbE\nwhKlnQMAUgMZCqXyPyLgAqhVqxabtu/kRJo1O54b0mPQKEaOGp3L5siRI0jTE+lf0YpATwUTfK1Y\numwZ92/fQqMVPHmTRRUnU2acecaEk0/pM2w0ffvlqJ7LZDJWrFyJRlmECWfjUekbcjchm7nX0jmT\nacu+Az8jkUhyJXePGjGc1k2C2PjdSBr41WLZksW5/GnfoQNHojI49TiJ8Jg0Vt54Q48+ObViKpUK\nI4N3v7aM9CVkZ2W9d/1Vq1bl8rNkHidmIoTghzvxGBtIiE9X08RbiUQiwdvaiNL2Zhw8eJDo6Ohc\nlXAxMTGcO3eOIT5WVHYypXtZBSItkQsXLuSap9e3A9h8O4ULT1M4E5XM7nup9Ojz7Se+W+8nIyOD\nsLAwRo8cQdLDcHqUsUCosvjKwxDl04sEN6yfx6e/mlGjxxByOYyhS7fRecws0tPSmNy1CXtXzmNm\nn7aMHj0aY2Njnf3CxYtp3G0ATbr2IahDd9oNGs/c+QvIyMzExOJdT09TC0siIx9Splx5mn/Vkuzs\n7I/60rpVSw5vX8PN0BAe373JjgVTaNvmwyK476NixYrcu3uHRbO/4/AvP7Nl08ZC5flC/jb+kz5Z\nQhT2XizkD6SkpDBoyFDOnTuPo6MDSxcv+qDYqBACS4WSSZsO4FDEHSEE8wZ2xt3BhguXrlC+Zl0i\nrl+iWqUKbNm86ZN/saakpBAREcGqVav48eeDZKan4+DkRGaWinaDx5MY+4ofVswh5PSpTxZFffLk\nCctXrCA9PYM2rVtRp06dT7r+S9i1axfLJgxmZOWclkEqjZYO+x9Rp6Yvdgl3eZ6UxctUFZka+Orr\n3sxfsDDPGFlZWRw+fJjU1FT8/PxwcnLi4sWLNGvcCD2tmpRMFctXrMSncmXqVK/ConqOmMn1eZWa\nzZBjL3j6/EWuPowhISFMnTCW1NRUWrfvyNBhw5FIJMybO4dV82fydUkzkrI0rLmewC9HjlKzZs33\nrq9Nmzb8tG8vGgFulnLalrJi9rkXLA5yw9lcTkK6ioGHo5DJZGgBPz9/dv+wHwMDA2JiYiju6c76\nYFcM9CUIIRgVEseq7XvzPADs2bOH1csWo6enz+ARowgODv6k9yEpKYlt27aRnJxMYGAgFSpUAHIq\nR+v510GqziT2TQrdK1gT8iQZ/6IW1CqSsxN8MCKBjGJ+bN25+5Pm/BSKenjSb84anN1zikz2r1tM\nyuPb+FSqRNWqVWncuHEu+9Zt26MoXgn/5u0AuHLqCGG/7GLKxAl81aoNX4+diZmlgrXTRlIruCVB\nHXuwdGQfmtSrrWtw/yH27NnD9BmzyMzKpGP7dkwYP75QsLSQf5TC3ouF/FdhZmbGhnVrC2wvhCAj\nIx2FbU4FlUQiwUxhTUjIGczMzbGTa+kxfQrNmzf/5IDr9OnTtGzdGnNLK+Jev2T2zFn07dsHIQQr\nV63i+71bMTU15fChXz8r4KpStRrVglpgpsjJcVm3ZhXNmzf/pHE+l4CAAAb1V3Ew4g1eVnIOPkoj\nqEF9ZsyZh1+tmpSwMsLERA4GZoyfMDHfMeRyea6KSLVaTfPGwXQvYURVZzOeJmUxZOC3LFiyHGel\niU6Z3s5UhqWxnNjY2FxBV+3atTl2+myeeYYNH8Gtm7eYs2cnZjI9bEwNGTNiGMdPn3nv7qKvry+x\nYSfpV1GZ0w7nVRomxiaMOfmSyi4WXHv2hirOZvSvbItaK5h9MZSFC+YxctQY7OzsqF27NvMvX8XP\nWc61V5kkZqo5dvQ3ypcvr5PDgJzgrk2bNp/1HiQlJVGlYnnsJKlYySXMm/UdW3fuoVGjRnzTuQP1\n7LQ09bJly3U4H52CRgikeu8+w1I9CWq1+rPmLiimpmbEv3yuC7oSYl7g5+vL+PHj87Xv9nUXunzT\nDVMLSwxkcnYtms7s76ZRu3ZtNq5fy/QZM4mMfEj52vVp8nU/JBIJ1YKac/Xi8QL5k/jmjS4NwdTU\ntMA/04mJicTExODm5obRW62uQgr5pyjc6Srk/yWxsbFERkbi5uaGg4OD7vstWrYiIUvQrOdgnj64\ny6pJQ/l2xlL09PRZP3U4v/z8k660PCYmhjt37uDs7PzBJscqlQoHJyd6TVlEmWq1efUsimndWnDu\nTAjFixf/4rWMGj2aOy/f0GFwzh+va2dPcHzLMq5evvTFYxeUe/fuMWRAP148e0bNOv7MXbAQY2Nj\nYmJiOHbsGDKZjODgYExMTAo03osXLyhT3IuNjV1035t16Q09x81g2OCBDPNRUMbOhDNRyWx7kMWT\np8+Ry+WEhIRw4cIFHBwcaN++PQZvc+eEEEyZNJEVy5eRnJxMHVcz+lWxRwCTz8UzavYS2rdvn68v\nCQkJ+FQoh6c8E1N9DYcfJuGkMCNLIzC1skWjyuYbDyhpk3M0dvzRG145V2fX3n1ATh7V9KmT2f/9\nHl6+eE6wpzkxGfBMmHP52o2/RMZk/vz5HFw1iyGVc469r71MY/dzA+5EPMRGacmc2tZYGRuQpdYy\n6PBj0tQgEVr6+tij0gg23U5i974Df2uy98GDB+n6TTf8WnQgMTaGyLBQzp87S1hYGKmpqdSpUwcn\nJ6dc1+zbt4+Fi5eg0Wjo3bMHXbt2zfX61926E6fSp8OQnJ2ttVOG4eNdlLlzZn/Ql927dzN0xGh6\nTlmA1MCA9dNGMHLIIPr26fPB61atWs2IkSOxtLImKyONn378MZfURCGFfAqfs9NVGHQV8v+Offv2\n0a1HDxxc3HgZ/YR58+bSo3t3IOcIsP/AQZw8eZI3SUl0GjqRWo1bAfDD6oV4KmTMmjmTQ4cO0aFT\nJ1w9vHn2OJJBAwcycUL+T+wvXrygdLnyLP/tXQPiRUO7MeLbXlwIvcj3e/dibGLC1EkTP2unY+Cg\nQcRiQtOvc/KkHt6+zo5ZY7lzKxyA+Ph4EhIScHNz0wUh/+lkZ2djY6Vkoq81xayMSMpUM+xEDEdP\nnyU2Npb2bVqTmpaGrY01+386SMWKFVm+bBnTJo7F19GIR8kabD1Lc+jocfT19Vm+dCmLZ0xkmE9O\nr8s5555Tz92SYC8Fq28kEthnHAMGDHivP/Hx8axatYodmzdSxjCFDqWVaLSC+ZfjSTW2pRhxdCqt\nQCtg4ZV4/Dv0YcrUdwKZQgjMTY1ZWM8JW5Oc92DahTj6T56XJ5D4GBkZGZw8eZL/Y+8sA6Laugb8\nDN3dgoCAqIiYWNjdiWK32N1d2IWK3QE2JmCgYotgB9iICqKUSsPs7wf3zr18gKLXm+88/84566y9\nzmaYs2bvFdnZ2dSpUwddXV2mTpnCs2MbKaatwsukDDSVFTgXK3gX9xG3alUonf2GViX1SM+WMuNS\nHL1G5CZDnAk4joqKCqPGTyqwaO/PJjQ0lGPHjqGlpUXXrl3p5NGFT2mZGJiYEXHrBoEBJ8nIyOD5\n8+e4uLjkS5L4/8TFxVGnXn2kCkpkZ2Wir6PNubNn0NHR+ep97Tu6Y+biRq2WuQHvty6eJezYbs4H\nny30nkePHlGrbj2mbz6EqZUN4SFn2L14Ku/evMmzLfn06VP8/PyQSCR0794d2z+x1pqcfzfy7UU5\n/3k+ffpE3379mODji21pZ2Jev2R8n7Y0adwYKysrtLW1ZU20y5Qth4HJb6tgnxI+oFnMgezsbLp1\n786oZVso6VKZ5ISPzOjenNatWhb4kjA2NgZpDhG3QylVwZWEuBieP7zHyYBAbj2MZMTybSR9jGPo\n8BGYmpp+dzxWJ3d32rTvQDFbB3QNjNi9dAY9unQGYJ6XFwsXLkJHTx9VZSWCAgPytSf6J6KiosL2\nnbvo17snJQw1iYpPYejIkbi4uAAQF5/Aly9fZNtCOTk5jB83lhWNLDHXViFHKph86T5BQUG0aNGC\nE0f96WCvibl27hZi57JGBD1NpIS+Ktejv7DgG3NuaGjI1KlT2b97B5XNc7eUFBUkuBgq8cGqJPfu\npjHx4kcysnOwLFGSiZMm57lfCEFGZjbaKopkZEtZExrL7defGNCvHw/u3WXx0mVF2t5KTEykdo1q\nKKQkoKKkwLAMBS5fu0HTZs1osWIpxuoKuBXX4ebbL6ipGyCVStm2y5dG9epw4d0HklLSad2uPZMm\nTUIikTB58uRvjvkzcXV1xdXVFYBVq1YhVdVk6mo/FBQUuBzgT/uO7kiR4OBckYcTJjFzxjSGDR1K\nVlYWcXFxGBsb59kGNjEx4XZ4GKGhoSgqKuLq6oqysjKJiYn07N2bSxcvYWhkxGrvlTRv3lx2n5aW\nliw5BiDpYxxaBazCnjp1irPBwZiamGBiYoKjSyVMrWwAKOlSmU/Jyaxbtw4PDw8MDQ25c+cO9Rs2\npHrTdgipFO+qVbkUEkLp0qX/pBmV87+G3OmS86/izZs36OgbYlvaGQDz4rZYlnDg+fPnWFlZ5ZGd\nPXM6Q4aNoGHn3iTGxfDgyjl2eC8iPj4eqcj90gXQNTDC3qk8z549K9DpUlZWxnfPHrp2745pMWti\nol8xdeoUNmzYxIB5qylma08xW3sadOrN0aPHvtvpcnNzY8fWLcyeO4+0tDR6enRm8qRJXLhwgbUb\nNrHk8AX0jEw4s287nbt05c6t8B+cvb+GqKgozpw5g4aGBjfCbvHixQusrKwoU6aMTEYikeSpUp+R\nkUGOVIqpVu4qkqKCBAstFRISEgAwNDIiJvKhTP7tp0wi4jNYdT+NzTt2Ua5cuSLZ5lKhEhfunMPe\nQI2sHMHV2Cx6danFzj1+hIeHo6KiQoUKFVBSyvvVqKCgQPs2rVhz6xIqIpO0rBz8OpYkI0fKPN/t\nlHQsxYCBA785vtfcOViKRAbVzG23tO9RIuNHj8TbZx1SJHg1KI6GsiJtShkw4mwMt2/fplKlSjx+\n+pxHjx6hq6v7U3oV/gzevH2LbZnyslUiB+cKxMfHsyrgOpraunx4F80kjybY2tjQq08fBBJETja+\ne/bkWZVTU1Ojdu3asuO0tDScy1fAtmwlFh4IJvpZJN179uJSyAWcnJy4c+cO6qoq+G5bw5fkRJSU\nlblweA8BJ0/ksc/Hx4d5CxdTu3Vnrp69yIdXT0lMSiI54SNZGRnM6NUaB5cq7PY/yYKFi7h29Qpz\nvebTut9Imnj0AUDP2JT5Cxexa8f2P39C5fxPIHe65PyrsLKy4lNSAs/u38beuQJvXzzlzYunBb6I\n3N3dMTU1xd//CCUdrdm24ibm5ubk5OSgpqZKeMgZKtVpxPvoV0TcvklKSmdiYmLyxIj9StOmTXkS\nEcGTJ0+wtLSkePHi7NnjS/z7GIo75P4KTnwfg2Npmx96rpYtW+bJ/srIyGDt2rVoaOvy8vF9KtRq\nQJ22HuxaNhshxD82pT00NJRmjRtS0UyDpAwp6Wr6XLlx85vbRRoaGlRyKceuB2/o4KhL5Mc07sR+\nkWUlTp89l1rVq/E+LR6A8Lgsbt9/+N2rfivX+NC8cUM8g56RkZVNs+bNGTZ8BEpKSgWWCfk9W3fu\nZtzoUfjt3smkGqaoKimgqqRAo+KqhJw7WySnK+rFc0rrK8n+fmUMVTj+6iUpKSloqauirpTrwCgp\nSNDXUJWV2lBXz98C6e/GrWZN9o4aQ+3W7ugaGHNi+1q0dHTR1NYFwNjCCk1tHXr06sWguatwrlab\nyDs36dq9O5GPH+drLP0r02fMJPbdW+b6nkJNQxNdQ2Mq1mnMuXPn+PjxI+3ad6BO2y64uNXn3KHd\ndO/ejZAL53F2ds6jZ9r06Uzb4o+FjR1CCJaN7ElZpzJM9WiMorIKddp0ovPQ3FphB9ctZfrMWSQn\nJ2Nr/ltcmqF5MV6/jviTZlDO/yJyp0vOvwptbW127dhBz969MTQx50PsW1Z5exfaOLd27dp5fkVD\nbhNs/0OHaNOuHXtXziX+w3sUFBRZunodo0aPYfOmjXTo0IEvX75w8OBBUlNTadKkCXZ2dnnqe3nN\nnUPP3n2o264byfFxRIReYseqrwe/x8bGEhcXh4ODQ6GZU9nZ2TRu2oyk9Gxc3Bqwa9lsop9HYmZl\ni7VtiX+swwUwetgQepXWoq6tLkIIvMPiWbNmTZH67fmfCKC7RycGBoRibmrMQf+jsngaR0dHwu/e\n4+DBgwgh2OjuTlJSEj4+PhgZGdG+ffsixbsZGBhwNTSMV69eoaKi8l0NlzU0NFi7YSOvo17x9MM9\nSv8SeP8sOYdyVkVr3F6jVh22r7yCq2UOygoKnIpKo3rzWtjY2GBiZoHvwyTqW2sSHptGUrYCFStW\nLLJ9fzWtW7fmwcOHjG1bG6lUikUxS9JSU1g8ohd9pywg4tYNyMlGV98I52q5/4OO5atgZmnDkydP\nCnW6Qm/eRENLh9joV9g4OiGE4O3LZ+i1bcr0mbPoNn42NZrkZsruXbUAdTXVfA6XEILU1FQMfpfJ\nrG9sTqOGtVi0cCHde/bCvmwFmbx1qbI8OutPuzatWb5mOcYWVkilUo5tXsWsaX/tFq4cOX8Vf1W7\nJDn/ARISEkR4eLj48OHDN2Wzs7NFeHi4uH79ukhPT5edT01NFUFBQUJX30CsOnld+N6KFl57AoSO\nrp54+/atKFXGSVSu01A0aNdF6BsYiitXruTTfePGDTF58mQxb948ERsb+1U7Zs6aLbR1dYW1fUlh\nblFM3Llzp0C5wMBAUbJsebE7LEr43ooWPqduCkUlJWFgZJSvb+T/JywsTMyZM0d4e3uLxMTEb87N\nz8auuKVY3fy33ot9yhuL4UOH/PRxDh06JAx0tESz0qbC2dJQ1HWrITIzM795X1ZWlvD29hae/fuJ\nVatWfXcfvdDQUDFt2jShr6Ml3OxNRWUbY+FoZytu3rwpenb1EC2bNBRr1/oU2oMwOztb9O3VU6ip\nKAt1VRXRqlkTkZKSIoQQ4t27d6JFk0bCysxE1HWrLiIjI7/Ltr+LrKws0cG9k6hcu6GYuHqnaNV7\niFBVUxfFrW3E+fPnhbaOjlhx7LLwvRUt1gSFCl19A/Hq1atC9fXo1VtUrNVA6BmZiJa9Bomyrm7C\nwtJKpKWlifIVK4mZWw/L+iT2njhX9OnXv0A97Tp0FLWatxPLj1wUo5ZsFPoGhuLJkydCCCHmL1gg\nylapLjZeuC82XrgvnCpVFYsWLxZSqVR4zZ8vrKxtRHEbW7Fs+fIi95OU878HP9B78Z/E3z1/cv6D\npKSkiFp16gorWztRwrGMcHIuJ+Li4mTXT506JcpXc5N9ifveihbmlsXF6NGjRe0W7WXnhi/wEa7V\nqv+wHSEhIcLcylqsO3tb+N6KFoPnrBQlS5UuUHbv3r2iesNmsrF3h0UJVTU18eLFi6+Ocfz4cWFg\nZCxa9R4s3Jq2EXYOJf9yx6t/n16ijp2R2O9eUmxsVUJYGekIf3//79KRlZUl4uLivtos2tzESCxu\nZC2Odikl/D0chYuVofD19f2qXqlUKtq1aiEqWBmI/hVNRAUrQ9G+dcsiv1Q3btwgjHS1RPMypsLe\nVE9UKu8i9u7dKyIiIoSxgb7o7mIiJtS0EPamemL2rJlf1fX582eRlJRUpHH/6aSkpAhVNTWx/eoT\n2We2Qo064vDhw0IIIdauXScMjIyFa52GwtDYVCxeuvSr+t69eyfs7B1EiVJOwsjMQpgXKybevn0r\nhBBizty5onT5ymLxwWAxa5u/MLWwFMePHy9Qz+fPn0XP3n2EZXFrUb5iZXHx4kXZtezsbDFo8BCh\noqoqVFRVxeAhQ0V2dvZPmhE5/ysgb3gtR05eFi5aRI6qFgv2ByNRUMB3xVzGjp/Azu3bgNxtq1eR\nj3jz4gmWJUryKOwaGempZGZmUczutxpcVg6lOPnx4w/b8fDhQ8q6uqFrkLs9WbNZWzbMGkNOTg6K\niop5ZGvVqsWQYcO4euooji5VCNy9kUqVq3wzdX3CxMl4zlkp28pZP30kmzdvZty4cT9s9/eycrUP\nvbol0M0/EBVlJWbMnPldRV4PHz5Mn149QUjR0dHh2MlAWWX23/MxIQlrvdzyEQoSCVbaSnz48OGr\nuiMjI7lyKYS1jS1QVlSgqb2UIacv8OTJk2/GhuXk5DB65EiW1LegmI4KWTmCiRdfY2BgQEBAABWN\nlXAvk2uPrb4aM1Z5M2PmrEL1/YzaXv8Uft3ulkqlsnNCmiM7P3jwIOrXr8fjx49xcHDAycnpq/rM\nzc25e+c2ly5dQlFRkVq1asn6XE6ZPJm0tHTWjOuPiooK8+fOzlcJ/1e0tMILUZQAACAASURBVLTY\nsW0rQghZpuyvKCoqsm6tD2tWr5Idy5HzVyB3uuT8p3kc8QQXt4Yo/PKlWrFOI4I2L5ddt7a2ZtUq\nb4b1a4+ugRFfPiVxYN8+0tLS8Bw6nMr1mqBraIz/huU0qF//h+0oWbIkjxcv5cunJLR09Ai7cBpr\n2xIFftlbWFgQePIknkOGsn/lPKpVr85R/8PfHCMpOQmTYsVlx0YWxUlKSvphm38ETU1NDh45Rk5O\nDgoKCt8VfxYVFUX/3j2ZWdMYewM1LkZ9olXzpryKfpsvm7COWw18H0bQo6weUcmZXHuTwpxatb6q\nPy0tDU1VZVkldyUFCRqqykVqop6amkpOTg4W2rlxY8qKEqx0civpCyH4XXF4FCQglf69uw5PnjzB\na8FCEhMTad2qJf369v3TYgHV1dXp0qUrK8f0o26H7jy7G8bn+DgaNmwok3F0dCzUsZVKpbx58wY1\nNTVMTEyA3M9RQXXHFBUVme81j/le84pk24ULF+jk4cHn5E/oGxhQ0tGRp0+fUry4NRvXr80XCyZH\nzp+NvFGVnH89T58+pWOnztSqU5dZs2bnaYfiUq4sYcEnyM7KRCqVcj3oKC7/r7xAj+7diXr1iqAT\nx4iOiqJBgwa0bNmS8WNGMbdvW4Y2roiVoTYrVyz//0MXmQYNGtC5YwcmdqzPnN5t2LNkOnt99xQq\n7+rqyu2wm7yPjeGo/+E8AfyF0bJFC/xWziM+9h2Rd25y8ehemjVr9sM2/xEUFRW/+yV/9+5dHE20\nsTfIXdWoba1DRmoqsbGx+WR99x/ks1FJPA49Y+HNJHw2bi5wRez3lClTBhUtPfweJfEqKR2/R0mo\naesXqQaTtrY2pUo6cOBxIlk5Uh7EpXI39gtVq1alQ4cO3HyfyZHIRELffmZFWCKegzy/69l/JtHR\n0dSsVYsMTWOsqzXEa/FSFi76eoV3gI8fP/L69es8K1ZFZdPGDXRp34oXV4Kw1lPj2pXLRVrNi4+P\np3pNNypUroKdgwN9+/X/ofEL4uPHj3Rwd6f/rBVsuRKJgqoGamY2jF/rh3OD1jRs1Jj4+PifMpYc\nOf9G/u7tWTn/QmJiYoSJqZnoOnKqmLx2jyhX1U0MGOgpu56eni5atGotDI1NhamFpXCtVv2745x+\nZiDtkydPxOXLl39qrFVCQoLYsWOHWL9+vejarbswMjYRtnb2ws/P76eN8Vdw69YtYaqnLfZ0cBBH\nu5QSq5vbCi0NdZGamlroPd/7t3nz5o1o3bypcLApLtq0aCaLFSoKr1+/FtUqVxSKCgrCwtRYBAYG\nyq49evRIuLdvIxrUrimWL1v61Xi0P5vFixeLRu49ZPFViw8GCzOLYoXK5+TkiAEDPYWmtrYwNDYV\nlV2rFilBpTBSU1OFl5eX6Nm7j1ixYsVXkxW6dOsmmnTuJXaHRYmtlyNEmYquYt26dT889u8JCQkR\nThWrCN9b0WLt6XChpacv9oS/ls1LpZp1xYkTJ37KWHL+N0Ee0yXnf42TJ0/iWLEqLXvl9lyzLVOO\n4U2rsH7dWhQUFFBVVeX40SO8fPmS7Oxs7Ozs8mzpZWdnI5FIvhrT8TO3ZRwcHHBwcAByt7sePnyI\nlpYWjo6OPzROTEwM1arXwMK+FErKKjy5HcrVK5dlY/ybqFChAj369mPc9q2UMNTg8fvPrFu/4atN\nib93zooVK8bRk4E/ZJ+VlRXXboYXWCetdOnS7D905If0/mykUmmez7OiohJ8pcXa9u3buXj9JqsC\nQlHT0GTPstkMGTac/Xv9vnvsnJwcmrVoSYaCKk7V6rBt7yGuh94sdFX31q079JqxDAUFBdQ0NHFt\n1IrwW7e/e9yCMDc3J+b1Kz4lJqCipk5mejpfkpPQ1tMnJzubhA/v/1OxdXL+HcidLjn/ahQVFcnK\nzJQd52RlIZFI8rwUJRIJKSkpBAcHo6enR+fOnVFQUKBvv/4cOLAfBQUFhg8fweJFC/+yGlgvX76k\nfsNGKKqo8SkpgXp169KoQX0uXblKMQtzxo8bh76+/jf1zPOaj0udJnT5pVn2iR3rmTx1Ggf378sn\n++jRI27cuIG5uTmNGzfO02/un8KSZSvo5NGVqKgoypUr99VG5H8X/7Q6aXv37uX02WBMTYwZN3Ys\n7u7uLF5aFRNLG0wsrTm6aQUDBw4o9P6bYeG4Nm6NumauA1KnrQcbpw77IVvCwsJ4+Tqa+XvPoKCo\nSK0W7RnZohpv3ryhWLFiJCQkoKGhIXOk7e1KcP/qBWwcnZDm5PAo9DLtm9T7obF/5dOnT4waM5ar\nV69hYGDItC5NKFO5Gqqqqszt354aTdvx9E4odjbFZcV35cj5q/jnfevKkfMdtG7dmrdPH7F31Xyu\nBh1hxZi+DBs2PM+LMSAggNp16xF0/Q6LvH2wdyhJ8xYtiIh6w4bz9/E+eZ2jAUFs3LSpyONGRkYy\nevQYhgwdxtWrV/NdT01NJSgoiKCgIFJTU/NdHzBwEDVadWaubxBLDodw4dJl5i1ejnIxR248fkH1\nmm6kpKR8046Y2FiKO/6WDWZdyonY9+/zye3fvx+32nXYefgkQ0eNpZNHl58WO/OzqVKlCh07dvxH\nOlx/B/fv32fQ4CH07T+AkJCQPNcWLFzIxKkzwNiG8KfRuFathqGhIRfOnSMl6hG3TvgyZEBfZs2c\nWah+e7sSPA69jDQnB4B710KwK1Hih2zNyMhAXVNLlriipKKKiqoq7969o1qNmljb2mJgYMjMXzI7\nV6/y5sqxvXj178C0rk1RE5mMHDnyh8b+lY6dOvMyLole05fi1rYbUmkO7s0acD74LMsXzsdaS8KA\n7p0JOHFcnrUo5y/nn/ST7ZctUjlyvo93794xd54Xse/f07BBfYYMHpzH6bIv6UinMbPIyc5m/YzR\nVGvcivfRL3kfHYWXbyDqmlqEHNtPcmQ4fl8Jbv+Vx48f41a7NnXbdUNVQ4tTezbit2c3jRs35uzZ\ns/TtP4B3b9+grWeAiZkFZGdw+WJIngrclsWtGbdmD6ZWNuRkZ9O7RknWBIWia2CEEIIlQ7sxZcxw\n3N3dv2qLj48PqzZsZvSKbSgrq7Bm8mBaNqjL3DmzZTJCCPQNDJm41hebUmXJzspkVs9W+Kxcli9D\nLDs7m7Vr13L77j0cHewZNWqULF1fzl/PvXv3qFuvPo279ENVQ5MT233YvWM7zZo1QwiBrp4+c/cE\nyLJWvcf1x7N7Z/r06VPkMTIyMmjWoiUvXr1GW0+fpLgYLpw/h52d3Xfbm5qairNLeSrUb4GLW32u\nnDxEwqtITE1NQdcUj5FT+ZwYzwLPzqxavoQ2bdrw+fNnQkNDUVdXx9XVNV+m6vfw6dMnTE3N2Bjy\nEKVfOhSsHNOX8UMH0rFjxx/WK0dOQfzynvkuP0q+vSjnX4+FhQXr1voUej0+/iOWJUqyYEhXhszz\nplz13IbUy8cO4MKRvTTr1p9Xj+/hVCx/z8WC8F61mgbuvWg3YBQAxubF8FqwEAcHBzp19mDQvFXY\nO1fk+Pa1PLx5FYeKNZg2fQYb1q+T6ShTugzXzxynTd/hpKemIIRUtr0jkUjQ0NYh83fbpoUxZMgQ\nXr6KYnSrGkilUnr06MmM6dPyyGRkZJCS8gXrX1bElJRVKF6yDDExMUBubJmfnx8fP34k+PwFYuKT\nqdKoJf6nznPk2DHq18vd7unerVueptVy/nzW+KylSbcBtO4zFAA9IxMWLVkqy0rNzMxAU0dXJq+p\no0dGRsZ3jaGqqsqZU0HcuHGDtLQ0qlSp8s1emQDXrl3j0qVLmJmZ0aVLF5SVldHQ0CDk/DlGjh7D\ngWUzKF++PL4BJynjVJapW/xRUFBA19AY18atuX79Om3atEFbW5sGDRp8l82FoaKiglRISUv5grae\nfm6NruTEr8YFypHzVyJ3uuT852nYsBEHfRbzJTkZc+vffr1blnDgwhE/HoVeIikmmt1r8m8TFkRa\nejpaZr81xdXS1SctPZ2rV69StqqbrDip+5DxnKzhQJMufXgScjKPjk0b19OgUWOuBx3hc3IS1jYl\n2DB9JM16DOLFw7s8vRdGw4ZbvmmLRCJh6ZLFLF60ECFEnu0SIQQPHjwgMTGR0mWcOLF9LS17DyHq\nySPuXQuh6sLZpKWlUbNWbZJS0lBRU+fl4wcMnLmEGk3bYu9ckdl92mFS0gUFBUXcatXm9KkgKleu\nXKR5kvPHycjMRN3gt2BvdU0tmTMukUjo1NmDjTNG0br/SF4/jeDO5WA2LJlHbGwsxsbGRd4+U1RU\npEaNGkW2a8vWrUycPAUTS1vi3r1myrTpXDgXjL29PZaWlhw6sD+PvFVxax6HX6dWyw5Ic3J4fi+M\nBj08ijxeUVFTU2PYsOEsGdaNmi078exeGKoK5KkZJkeOnFz+trRPOf9tkpKSRPOWrYSKmrqo4NZA\nrA++I+buOi6MTEzF1KlTxZ49e0RycnKR9Z06dUoYmZqJCat3ihlbDgmbkqXEqlWrRGBgoLArXVbs\nCn0pfG9Fi+VHLgpVdQ1RuXYDMX36jHx60tPTxZ07d8SzZ89ESkqKGDZ8hChXvoJo0qy5WLhwkbAp\nYSdMTM2E56DBeXpGFgWpVCp69OotTMwtRJkKlYWJqZlwLFVaKCkrCx1dPbF3714hhBCbNm0SppbF\nhW1pZ9Gih6cwsbQW2noGwvdWtKjdqqPoMnKKLMW+z2Qv0bZd+++yQ84f4+zZs8LQ2FSMXrZJTF7n\nK6xK2Iv1GzbIrqenp4tRo8eIsuVcRL0GDYW3t7fQ0zcQegaGwsTMTFy9evWn2ySVSoW2jq6o0bSN\nKF2pmhi7YqtoN2CkMDQyLrTURHh4uDAyNhGudRoKu1JOon7DRiIjI+On2/arfdu2bRMDBnqKuXPn\nis+fP/8p48iRg7z3ohw5+dm1e7fQ1tEVFlbWQkNTS2hoagkLSyuxa9euAuW/fPkidu/eLTZs2FBo\nv8MDBw6Iyq5VRbnyFcTyFSuEVCoV2dnZolmLlqJ0hSqikXtPoamjJ1TV1EX7ju7f5TSdO3dOGJuZ\ni1nbjgjvE9dEpVoNxPARI77rmffv3y8cnFzEtiu5/fA8Zy0T5StWEmlpaXlqW40cOVLoG5vK+uat\nD74jlFRUxOR1e4R1yTJi2PzVMqdr7IotwryYlWjStJmsr56cP5+jR48Kt9p1hGu16mLd+vWF1iaL\njY0VegYGYtY2f+F7K1qMW7lNGJuaitTUVHHo0CHRtXt3MWjwEPHs2bM/ZE9mZqZQVFQUyioqYuOF\n+7LPR5W6jcT27dsLvS82Nlb4+/uLs2fPFrnP4YMHD0Tffv2FR5euhfZYlCPn74IfcLrkgfRy/tNE\nRUVRoWIlJm/Yh6WdI/evX2TjzFG8ef26wADxT58+UcOtFqq6BugZmnDr0lncO3Yk7sNHHEuWZPq0\nqV+t7ZOTk8OBAwd4+/YtTk5OuLq6YmBg8F02jx03jjfpirTtNxyAty+e4jNhAC+fPyuyDi8vL0Kf\nvcNjxGQAPiclMq5tLT4l520LtG7dOhZ5+7DAL0h2zrO+C1q6+mjo6PAlKZEhc71RVFLEe8JgNHX1\nSP2cTHpKCgvnz2PwoEHf9Wxyik52djZCCJR/CQj/FufPn2fkhClM3nhAdm5i+zr079Ob9Zu30LL3\nUBLevyPkiC9hoaFYW1v/sG013Gpx4/o11p+9jZZubmmTJSN7oZD+mVYtWzJxwoQ/nIARERFBDTc3\nmnQdgLaeAUc3e7Ni6WK6du36h/TKkfOz+JFAennJCDn/aR4/foxNKScs7XL7vjlXq42yiipv374t\nUN7Hxwd9yxKM9d5JvxlLMbQozvV7EVi51uf6wyc0aNSYrKysPPdcvnyZ5cuXc/DgQSQSCR4eHowd\nO5amTZt+t8MFEBoaSkzUC9nx+zdRaGpqArltU7y9vVmwYAH379+Xyc+ePZuVK1fKei2WK1eOu5eD\n+fIp9/jyiYOULaDPXOfOnUmOi+Fq0BFSPidzYsd6lBQVMLUoRpfhk7FxdGLx8B54eXpQtVELvHaf\nZOG+M6hpaDJn7tzvfjY53yYnJ4chQ4ehoamJppYWvfv0zfeZKwgrKyvevnpOcnxu4+/Y1y9JSohn\nx65dDJq7inrtutBh0Fgq12/Bjh078t2fnp7OuXPnCA4OLrDMye8xNTHBys6RZaP7cfNcIH6rFhB5\nJwyXRu0JuHCVtu07UNQf0SEhITg5l8PIxIR2HTqSkJAAwKZNm6nXvjut+wylXrsu9Ju+mKXLVxRJ\npxw5/1TkgfRy/tPY2toS9eQxCXExGJiY8yryIalfvmBmZgbkBpv/voL3+/dxWDmUQSKR8DHmLXFv\nX+MTdBMlZRWqNWrFtC5NCA8Pp1q1agCs9PZm4eIlVKzbhOfbduG3bz8H9+/7QwU0792/j6rGK9ZO\nG4m+sSnBh3bTs3s3Pnz4QBXXqlg7VUBb34hFi+vgUNKByCdPsbBxwNDYhLXr1hN64zotW7Yk5OIl\nxrZxQ1ffABVFRU6fCso3loGBAcFnz9Czdx+2ek2mnIsLVy9fYueu3ZzZthJTExNWnj5FvQYN6Dpy\nKgBq6hoUdyjNs7s3f/gZ/wsIIdi+YweH/Y+go6PNlEmTcHJy+vaN32CltzcXr4ex9swtFBWVWD3B\nk3nzvJg9e9ZX77O3t2f0yJFM794ce6fyPLkXztKlS5i/YCFqGhoyORV1jTz9SQESExOpU68+GTmg\nqKRITnoqFy+czy31UAC379xh6OJN3L16nlN7t/P62WMW+AZhXMyKum06M7ZNTZ4+fVpgrTWpVMo8\nLy927fZFUUmRN1FRDJrnjW1pZ45uWU3nLl05cyqI7OxslFV/Wy1TUVPPZ7ccOf825Ctdcv7TODo6\nMmnSRKZ3a86iQZ1ZPKQrmzdtRFNTk+07dqBvYIiamhr1Gzbiw4cP1K9fj5Ajvrx/E0V6agoIgYJC\nrkMmkUhQUlYm55cikhkZGUyZPIUpGw/SY9xspm05RPjtu1y8ePEP2ayoqMiopRuxLe2MmqYmpStV\npUyZMvj4+OBQqQaD5nrTYfBYlNQ0MCjhxKDZK9DS0yMrJwdTu9Js27ZNltX4JCKCM4EBPH70sNC6\nSxUrVuTBvbukfPnMtSuXKVWqFPO95nH96hWOHvGnatWqmJiYcnrfdoQQvHh0jwehl6lQoTyvX78G\nch2QRYsXU7J0GZycyxW4klIQwcHB9OrTl4Geg7h3757sfHZ2NhMmTsK+pCPlylfk2LFjf2hO/wy8\nV61i1tz52FZvjMTImtp16/LsWdG3gAvjQshFGnTujaa2LmoamjTu0o+QS5eKdO+0aVM5eyqIcUP6\nc+XSRQYOGEDvXj3ZPGccD0OvcPH4AS4d3Zuv/tvsOXMxtXdi5o5jTN96hJKutZk0ZWqh41hZWfHk\nbhgtenjiMWIy6ppaGFlYAqCgqIiSsors/+T/s2DhQnwP+tN31go6DJ+GgrIKKqpqGJiY02PcbC6c\nP0dmZibdu3fjtN8WLp04xN0r59mxYAr9+xa9/pgcOf9E5Ctdcv7zjB87lnZt2vDq1StKly5NsWLF\nuH79OuMnTGTKxv2YW9ux19uLHr16ExRwkqfPnjG9W3PS09MwMjZh89zx1GjWnrtXzqGiAJUqVQJy\n47+UlJUxMs8tH6GkrIK5tS3x8fH5bHj+/Dlv3ryhdOnSmJiYfNXe4cOGsW3eBJr3HEzMq+dERzyg\nY8edLFy4CGNLGwAib4eib2JK7wlzAChb1Y1BDStQr01n2RYjgJmZmWxV70eRSCScCgygafMW7F4+\nByQS9AyMyFTWpHyFivgfPsSdu3fZuG0nfaYuJjM9nUlTx6Cnp0ebNm0K1Xv8+HH69BtA637D+Zzy\nhbr16hNy4TzOzs5MnjKVUyGXGTBvDYlxsfTpP4ATR42pXr16kWwWQhAUFMTz58+pUKECNWvW/ENz\nUBCr1/jgOTd3hQYg6WMcu3fvZtasWX9IbzELC14+vEO1Ri0BePHoLhYWRashB+Di4kK5cuUIDw8n\nICCAgQMGoKmpyaEdq9DS0uLE8WOYmpoyYeJEPnyMp2njRjx7/hynWs1lK7ROrm5cPbi10DHWrllN\nw0aNuXfpDIkf3pOVlsrupbOoWLcJoaePYWlhXmhHgf0HDtJl9AxsSpUFoG2/4dw8F4Rztdp8jHmD\niooqysrKVKlShcMHDzB/4SJS09KYMGYkgzw9izwPcuT8E5E7XXL+J7C3t8fe3l52fOnSJVwbtcLK\nvhQA7TxHM7JZVQDGjhnDmNGjkUqlpKamMnnKVC7sWYuDgwPbzgXLAoSNjIwobm3NsW1raNKlHxG3\nbhB5JwxX1815xvbyms+yFSuwsC7Bu1fP8d2zO18l+N8za+ZMzMzMCAgMwsjIiOvXrmJubk6LFs3p\n0bsvZSpX43NSApnp6bLmy0IIRI6U80f3MTkwgPDwcGbPncenT59o17YNI4YPL3DL89WrVxw+fBhF\nRUU6deqEuXnBL/dSpUrx6sVzNmzYwOpN25i8fh8KiorcuniWgYMGY2hoSOcRU7BzKg9Aq77D2Xfg\nwFedrkVLltJz0jyq1MudCyGV4rN2HevXrcXXz49RK7djWaIkxR1KU79DD44cPVokp0sIwUDPQZy9\ncJGS5aswb8EixowawYTx47957/cglUqR/K5/pYKiYpHjmL7GzBnTqV6jJjGvnqGkpMTryIdcuVy0\nlS7Iff6+/Qdw6sxZLIrb8jLiAf6HDzF+3DgAEhISqFipMqWr18XC1oHxU6ZRpqQ9l48foEKtBigo\nKHLp2D6q/fLjoiCcnZ15cP8ely9fRlNTE2dnZ6ZMm07wjlU4ly3L4s2BhdYI09DQIOnjB9lx4odY\nHoZeYr/PYq4F+ufpgVq3bl3q1q1b5GeXI+efjtzpkvM/iampKW+eHUUqlaKgoMCriIcY/W4FSiKR\noKioiLa2NmtWrwIgKysrTyaZRCLh5PFjdOnWHc+NKylmaYX/4UNYWlrKZO7evcvK1auZv/c0uobG\nRN65Sddu3Yh7/77QdicSiYTBgwblywxs3Lgx8+fNYfa04aSmpCCVStniNYly1etyet92lNXUUJRI\n+PLlC63btKWt5xhKmVuyet0SPn/+zLSpebeLQkNDadSkKVXqN0Oanc2CRYu4fvUqNjY2hc5bQkIC\nJcpWkPXWcyhXiZh37yhevDiJH+NkcknxcehpFp7l+et8qmloyo5VNTTJTEggIiKC5ORkkj7EYVki\nd7UkIS6GchalvqrvV+7cucPxkwEsOBCMmroGCXExTOhQn4EDBqCnp1ckHUVhkOdANswcTbtBY4mP\njeHyiQMsuXLlD+s1Nzfn7p3bBAYGIpVKadKkCYaGhkW+PzAwkJArV5m/9wyq6urcuXKeHj17EfXq\nJQAHDhzA0rEsPcfnrpI6VanJ3H7tqFevPsObVEZBQYHqNWrkaSVVEMbGxrRr1052vG3L5q9I/8bs\nmTPw6NqNty+fkJKcxM0zxxk5YjiZmZkM27n9p1WnlyPnn4jc6ZLzP4mHhwebt25j/kB3zK1LcCvk\nDLt37SxQNjg4mO49ehL3PpZSZZw4dGA/pUrlOgDW1tZc/coqxNOnT3EoWwFdw9y+i47lqyAVuVmI\nhQUpf41+ffvSr29fAC5cuECbdh1I/PCeMlWqM2zBGiZ0qEtwcDA1W3akkXtPAAxNzVk70TOP05WQ\nkEDzlq1o238kTbv2A+DguqXMX7CQjRvWFzp+9erV8V6zlobuPTEytyRg53qqVq3GjGlTadO2HXFv\nXpOVkcbVgENc+UYcUp/evZi/eAbdxs4iLeULJ7b7cPjAfvz9/XEs78ra6SNp3Lk38e/fcSXwCHt8\nnhdpjuLi4jAvboOaem7wuIGJOdq6uiQmJv5Up2vC+PHo6Ohw2P8AOjo6nDt7FkdHx5+iW1dXFw+P\nH6vY/uLFCxzKVUL1l9Y3ZV3deBP9OndlTiLh+fPnqP7O2dXQ1iE7K5vDBw8QFxeHVCrF1NT0DyWD\nfI3GjRsTePIEBw4eRE3flLWhN/5Q+Qo5cv5NyJ0uOf+TqKioEHzmNEePHiUhIYE182fKHKnf8+7d\nO9w7dWaw1xrKVKnBucN7aNaiJc+eRBapxYqTkxOR98J5/yYKU0trbl8KRlVVBSMjoz/8DHXq1KFZ\ns6bcfRRBdkYGi4d0ZeCAgejo6JDzNkEml52VhcLvtsFevnxJqzZtycqRYmH725armbUdMbe/ngRQ\nt25dpkyawET3BiCgXPnyHPU/jJmZGWfPnMZv716UlPRZfvVqnu3cgvAcOBCJRML2netRVVFh1/Zt\n1KlTh7CwMPSNjBixcC3hIWdA5GZZFjU2rUKFCrx+FsHtS8E4V6vNhSN+qKuqYmVlVaT7i4pEImGQ\npyc21tY8ffqUxMTEn6r/R6lYsSLzFiwkPvYdhmYWnDu0B2eX8kgkEnr37UdAYBBfPn/C3rkSxUqU\n5MimFTIH71vxhj+LqlWrUrVq1b9kLDly5BTM31FQVo6cr3LixAlRya2erOq2761oYWRiJl6/fl1k\nHWvXrhPaOrqieAl7YWRiIq5cufLT7MvJyRF79uwRs2bNEkeOHBFSqVS8ePFCGBobi85DJ4gh81YJ\nS1s74e3tLYQQ4v3798LM3EK0Hzha1GrZUdg4OgnvE9fEMv8QYWZlIzZv2ZJvjMePH4vZs2eLefPm\niaioKCGEEFlZWeLTp08/7Tl+T0xMjDAztxCteg0S/aYsEBbFbcSaNWu+S8elS5eEtY2tUFBQEM4u\n5UVERMSfYuuw4SOEtV1J0aRzL2FR3EZMnzHzTxnne1m2fLnQ0NQSRiZmooSdvYiMjBSHDx8W9mWc\nxbYrT8S83SeFbWlnoWtgKMZPmPjdLXkuX74sylesLCwsrYRH164iKSnph+xMTEwUnTw8hJlFMeFS\noaIICQkRPj4+ok+//sLLy0ukpqb+kF45cv4KkFeklyPn5xIWFkbrNM8BRgAAIABJREFUdh3w2neG\ndy+fsWvpLKKfRdK9e1dWLl+O+i9bON8iISGBmJgYbG1t0fhdzaQf5fHjx1y6dAkjIyNat26dLz4s\nMjKSBYsW8+nTJ9q3bUP37t0B2LRpE7v8TzLYaw3SnBx2Lp3F+SN7UVJSonKlSoRcOJ9nWyksLIzG\nTZpSo0UHsjMzCD8fyLUrV/KsYl28eJHlK73Jysqib+9edOjQ4Q8/X3R0NMuWLScxOZlWLZrTsWPH\nH9Lza8ze/yc7O5vz58/z6dMnatas+UMZnhEREdSqU5eFB8+joaXNp8R4xrWrzbMnT35o67goZGZm\nsmDhQq5dv4GNtTVz58zG2Dh36/rhw4f4+fmhoKBAz549MTU1JSkpCQsLCxQVFVm6dCnn70TSfexM\nANJSvjCkUQXS09K+y4aXL19SqXIVek7ywqZUWY5tWY00OY5abjURQtC1a1fKlClTJF1Nm7cgW12X\n1n2H8/LxfTbOGksxG3vcWrvz+OYVFDO+cOFccKHxj3Lk/J3IK9LLkfOTqVSpEi2aNWV6l6Z4eXam\ndutOTNu4j7tPo+jTr3+B9/j5+VGnXn3q1KvPsmXLePToEfr6+jg5ORXocN27d48NGzZw9GhuYP+3\nOH78ODVr1WZ/4DmmzvHKfXH9v6KRjo6ObN+6hcMHD8gcrv+PgqIi7fqPQJqTTcOGDTkVFJgvjmfm\n7Dm0HzyebqOn02viPOq0686ixUtk169eza0+blK2GiVqNqFv/4EYmZhiYmrGhImTCq3V9C2srKxY\nuXIFO7ZtzedwvXv3jqbNW2BmbkH1mrV48OBBoXoUFBTIzs4mMDAQX19foqOjyczMpHHTZgwZOYYl\nPhspW64cYWFh323jhw8fMLawRENLGwAdfUP0DY0LLBnys+jZuw/HzlygTMN2RH/Oomat2qSkpBAY\nGEi16tW59vgVt6PiqFq9OtHR0VhZWcm2wV1cXLh76SzJCR8BCDm6D+dyLnn0S6VStm/fzoSJE9m5\nc2eBn8dz587hUrMeVRu2wNTSmoadenHt2jXuRH/k/rsk3GrVJjw8/JvPkpWVRfDZM/SaOA9jCytc\nGzSnTJWauLV2p5F7T4YtXMe79x+4fv36T5g5OXL+GcidLjlyvoJEImHjhvV0bNeaSnUaUq+tBzal\nyuI5ewX+hw/leynt27ePMeMn4li7GQ8fR7JouTe16tbDvbNHgQ6In58f9Ro05ODpEMZPnUnb9h2+\n6XgNGjyE4Ys30G/GUqZtPkxsQjIHDx4s0vO0adOGp3du4r9xJTfPB+E9bgADPT05dsS/wFW7pORk\njC1+y8Y0trAkKfmT7Hjj5i206J3bpgVATUub8Wt2M2XzIU6cOcfCRYuKZFdRycnJoUmz5mgWs2fq\nFn/K1mtJo8ZN8tQm+z1ZWVk0btqMkRMms3aHHy4VKjBlyhQS0zKZtfMEI5dtofPI6XgOHvLdtjg7\nO/Px3RuunzlBVmYG54/sRWRnUaJEiTxySUlJzJ8/nzFjxxIUlL8rQFFJTk7m2NGjjFi8gSr1mtJ9\n7EzUtPVZuGgRHTq6Y27rQNiFU2jp6tOk6wAW/s45BmjUqBED+vZhXNvajGlVg8v+u/HdvUt2XQhB\nj569WLJqLVFfBAuWedOnX/98ZTC0tbVJeP9Odv7I1tV08BxD15FT8Rg+ibYDRzPPa/43n0dJSQkV\nZRUS4mJl43+MfYu2Xm7rLAUFBTS1dcjIyPjhOZMj55+G3OmSI+cbSCQSKlWqRHrKF9m5z0mJKCur\n5FsZ2rx1Gx6jphF2/jQNOnTD+8RVlh+7QuSraDZvzptSL4Rg0OAhjF+zm77TFjN9qz+Pnz4nMDDw\nq/Z8+BCHbancgpwKiopY2Zfm/fv3BcoKIdi5cycdO3VmoOcgUlJSuHrlMmpp8Tw660+/Hl1Ys2pV\noWO1b9uGQ+uW8ObFE14+vs+JbWto16YVAFu3bePA/v34eXuxfGx/ws6fpm3fYRR3KI2ppTXtB43j\n+ImTBerNyMjgzZs3393WJTo6mtj37+kweBxG5sWo36EbJlY2ha5U7dy5k/gv6czcdpShC9fRe/IC\nduzahZ1zZVnZi1IVXHn75s132QGgp6fHyRPHCdiykr41Hbnqv4ugwIA8jZ4/ffpE1WrVOX39NjHZ\nqvTpP5C169Z991h5+N1nTggpK1euZMqGvczefpSFe08R5LcVqRB8/vw5360zZ87gddQrLl04R8Tj\nRzg4OMiuRUZGciY4mAk+e2jbfwQT1vlx/MQJXr58mUdH69atUczOZPnovhzeuJKIWzcwNPutvpuB\nqTmfv3zhW0gkEubOm8uiIV05vHEl3mP7k/whloc3LvHi0T2Obl3Np4/vcXV1/ZFZkiPnH4nc6ZIj\npwi0bduWT7Fv2DRnHKf2bmPZiJ5MmTI5n9OlpKREZno67149o0qD5gCoqKpRrmZ9Hj16nEc2MzOT\n1JQvsgKtSsrKWNmXKtSB+hW3WrU5vHE5OdnZvH7ymJvnAnFzcytQdsnSpUyf44WJcw0SUKda9Rqo\nqKiwc/s2ggJOMm7s2AJjnn5l9KhRdOnQFu/RfdgwdSjjR4+ka9euXL58mYmTpzBjy2E2hTxEQ1Ob\nZ/dv8S7qt7IO76NfFVii4cCBAxibmFK+YmUsixf/ru0jbW1t0lJSSPmcDEB2ViYJcbHo6OgUKP/2\n7Vtsy7jkqSuWlppK6JljJH3MLY9wym8Lrj+YSVelShWeRkaQlZXFg3t38/Ve3L9/P/rFrPGcvYLW\nvYcwesVWZhZQsX7//v3UrFWbGm612LVrV77rkFtGokWLFvhMGsyti2fxWzmPz/HvUVVTlxWl1TMy\nobhDac7u24Z7h/aye3Nycli6bBntO7rjNX8BhoaGeWrOAXz+/Dm3T6da7oqnmroGmto69Onbj0ZN\nmspaO6mpqWFRzIKPMW94++IJppY2+HrP59n927x4dI9DaxfT8XdjF8bdu3fZvceX5IR4bgQcolmd\n6jy4dxcLbRV8F04i9XUkIRfOo62t/U1dcuTI+X7+tgwEOXKKQkJCgpgxY4YY6DlI7N+/v0CZ06dP\nCwMjY2FTqqxoN3CU8L0VLbZffSKcKlUTGzduzCdf2bWq6DhojNh985WYu+u40DMwFI8ePfqqHbGx\nsaJWnbpCSUlJ6OkbiJ07dxYqa2ZRTCw+cFaWedmgfRexdOnSQuUzMjLEgIGeQktbRxgYGYnFS5YU\nKDd79mzRpu9QmV6fU2FCXUNTGBgaifptO4tmXfoKTS1t0bhJU7FmzRqRk5MjhBAiKipK6OkbiPm+\ngcL3VrQYs3yzMDU3/67suVGjx4gSjmVEx8FjhbNrDdGqTVuZ/v/PmTNnhLllceF94prYHRYlWvYY\nKJo2by5mz5kjVNXUhKa2tqhavYaIjY0VAQEBYsuWLeL+/ftFtuVbrFy5UjTp1FM2TxvP3xMamlp5\nZI4ePSpMzC3EuJXbxITVO4WZZXHh5+dXoL709HQxddp00aBRY9Gv/wDx+vVrYWxqKsav2iF8b0WL\npYcvCHVNLTFz5sw89/Xu01c4u9YQQ71WiYYduokyZZ3zZQampqYKG9sSotvoqaLvlPlCx8BIKCmr\nCDun8mLwPG9haVNCrN+wQSQkJAgNTS2x4/oz2XNZ2toJy+LWws7BUSxZulRIpdKvzktiYqIwNTMX\nnrOWifXBd0SXEZOFfUlHkZWV9f2TLEfO3wQ/kL34T+Lvnj85cn4K58+fF+3atxcGRsbC0qaEMDQ2\nFR5du4ns7Ox8stHR0cLatoSQSCRCVV1DaGppiaCgoCKNk5WVJXu5+fn5ifIVKwkn53Ji2fLlsvMm\npmZixdFLspdjU4/eYtGiRYXqHD9hoqhQs65Yd/a2WHr4grC0tRP79u3LJ7du3TpRpU5DsSf8tfC9\nFS0m+ewWFpZW4tatW2LBggXC1MxcVGvYXAycuVSULl9ZDB4yVAghxMmTJ0XFGnWE761oMXmdr7Av\nW0FoauuIfv36F9nxkkqlYv/+/WLSpEli06ZN33xRL122TKipqws1NXVRvaabeP/+vRBCiLS0NBEf\nHy9ycnKEe2cPUcKxjKjX2l0YGBkLX1/fItnyLSIiIoS+gaEYtWSDWHLwnKjWsLno2r1HHpm27TuI\nQXNWyP5Go5ZsEI2bNivyGJcvXxbGpqbCoriN0NLWEVu3bctz/fPnz0JNTV1svRwhfG9Fiz3hr4VT\nRVdx8uTJfLqeP38uKrm6CnVNLTFjyyGx4dw9Ubeth6hSv5mYtnG/KF+xkkhKShJq6hpi65XIPPoC\nAgKKbPO5c+dE2UpV85RiMStmJZ4+fVpkHXLk/N3wA06XPA9XjpyfzK/94jIzM3n8+DGamprY2dkV\nWOE7Li6OtPR0VgeFYmBsRsStG7I2Qd8qvvprGn1AQAAjx4yl3/QlqKprsGbBFJSUlBgxfDh9+vRh\n/fSRtPMcw/voV4SePcGaedMK1Xnq9Gk6jJqFroERugZGNPLoS+Cp03Tq1CmPXK9evdi0ZSuLh3ZD\n19iM0OAASpQuS6MmTZg5fTpGxYozfNF6JBIJrvWbMbRJJZYtXYK1tTVRTyN4FHYVnynD6T99ESbF\nirNv1XxGjxmLz5rVsjEePnzIzl27cot69uolK14rkUhwd3fH3d29SH+P0aNGUaN6dZKTk3Fzc0NL\nK7c9kZqaGmpqapw+fZrwO3eZueM4yiqqvH7yGM+B7nh4eBS5KntSUhJLly3j7bsYarvVpHfv3kgk\nEhwdHTnif5gx4yaQkBBP40aNGDigPwMGepKSkoJH506oKCvniRdM/fI539bf16hZsyZRL18SHR2N\nqakpurq6ea7n5OQgUVBA6RedEokEZVXVAhM7SpQoQZdOnQgOf0SpCrmxVN1GT2Nok8qYFLMiIz0d\nXV1dOnTowKpxA6jdxoPI2zeQpqdQp06dItusr69P/PsYMjPSUVFV43NSIl8+JeWzXY6c/xpyp0uO\nnJ9Iamoqp06dIj09nQYNGuDi4vJV+WfPnmFftjwGxrl1okpVrEpWdjYJCQmy+kvfwm/fPlr2GYZz\ntdoAeIyejt8uH0YMH858r3kYGOhzfN8m9PT0CD5zBjs7u0J1GRoa8vblUxzKVQQg5uVTnIvnr1Ku\nrq7OlUsX6d69O3cinjB7x1Gs7Bw5d9iXDZs2oaZnJHNYVNTUkEhySzc4OTkxbOgQlozuR912Xalc\ntwkAvScvwKtfO5nT9Wt9sDrtuiKkUmq4uXE+OPib8/n/yczMpHXbdjx8HIG2rj4pSfGcPxecJ8Mw\nNjYWK/tSKKuoAmDlUIqMjHTS0tKKVFMtNTWVGm61MLN3wtbJBa8ly4mIfMKihQsAqF27NmGhuXFr\nT548oXrNmjTq3BcdM3sGDh6KZ/++rF6zkoz0dBQVFTm5Yy3+h4qWjfor6urqlCxZssBrurq6NGjY\nkHXThlO/Q08ibt8g4V10HicpIyODFy9eYGRkhIGBAe9fv5A1U4959QIFBSXi3kXz5u1b/P392b5t\nK0uWLuXatdOUtLZmj0/Id9Wfc3FxoXYtNxZ4dqJU5RrcuXiWwYOHFPkzL0fOvxW50yVHzk8iOTmZ\nmrVqo6iuhaaOLqNGj+HC+XOULl260HucnJyIuBNG3NvXmBQrTnjIaTQ0NNi7bx9bt21HSUmJcWNG\n07lz50J1aKhrkJj0W9ufz4nxqKmr8/TpU1RUVBg/bhwTxo8v0jMsXriAxk2b8vLBbVK/fCI64j47\nvG8UKKumpoaRsQk1S5TDyi6352AJJxcu7N9G0stnHN/mg8P/sXff8U3UbxzAP2lm0yWjQKGMsvHH\nhqIMocheIoqyVERRlI0oUwURQVFcqIhbQBAEBdkoe+8pG0SGUEYLbbPX749yMU2TJm2T66X9vF8v\nX1J6vVyux92T5/t8n2/9RGxY/APatmvnLIiePOlN6DLSsefkBee+7ty6gXCXh/a0d9/Do4Neca4f\nGVWsBLo/9jheHvQiRr/yit/NMmfPno0baXpMW/QnFEolVv44G4OHDsPa1f/NqmzSpAlGvjIaF04c\nRaWatbFq7peoWet+ZxAxd+5cfPXNt5DL5Xhl5Ah07949y2usXr0aqqj7MPDN9zMze206Y3jnB/DO\n1LezHee3332HFt16ofvzwwAApeIr4tfPp2H9urWY89XXsNntWPn7cjRr1syv9+evxT8vxMTX38CG\nubNQsWIFbN+21Tn54Pjx4+jYqTNkCiXu3L6F0aNfgcysx8wR/VG6QmVs+X0xBr7+Lpp17I5zxw/h\nhUHP41aPHhg/blyej0cmk2HB/HlYtGgRzp07h+e6z0C3bt0C9XaJJItBF1GAfDBzJmITauCFSTMh\nk8mw7ufvMeqVV7F2jee2CUBm0PX25MkY168zYoqXgNmgx7PP9scHH89C/3FTYTYaMWzkKERFRaFz\n584e9zFyxHC0aNkSFqMRam0E1i/4BqVKl8ZDSa1hNpvRqmVLLP55oV9DVo0bN8a+PXuwatUqqFQq\nPPnkDyhevLjX7Vu1fAgTJk/Bg+26IiI6BmvmfonWSa0wbuwYjH5tDFbt3oimDz7ozPoIxo4di0aN\nE/HdO+MQW64iNvzyA2ZM/6+3U0ZGBiqV/C/Ddl9sKaijimHBr7/j1KnT+P67b32+l7S0NCxb/jvk\nKg1uXbuCMhUSUL/Fw5izOmsWqWbNmvh6zpcY+MLTyMhIR+06dbH8t18BAPPnz8f4Nyah36tvwWo2\nYeCLg6DRaNChQwfnz5tMJmgjo52ZPY02Ag6HAzabLVvQZbVaoXJpKaHWhOPmrVtYs2YN3p7yll+d\n8e12Oz76+GOsXLUaJUqUwFuT3sw2a9JdeHg4Ppz5gcfvPdGrN7oOHIlWjzyJO7duYMqARzH/x+9x\n8eJFrFq1CrUTm6JZx8xAs3KturiTkgKr1ZrvLvFhYWHo06dPvvZBFGq4DBBRgAx4fiDCylRB255P\nAwDO/3UYi95/HceOHPb5sykpKUhOTkalSpXQtkNHPPTkQNRr3hoAsPHXBdD9fSxLI0t3Z86cwVdf\nfw2z2YwLF/6GOfw+9B87FVaLGZ+8+gL6dO+M1/zMduWGw+HApEmTMeP9GbDb7ejYqTMWzJ/nrJvK\nyc2bN/H555/jzp276Nq1C9q2bev83vgJE/DND/Mw/N0vYLfbMPvNUej50ito1Ko9Xm5bH7dv3UJE\nRITXfaempuKBB5siukw8ImKK49C2DRj90bc4sGktlPoULP1lscf3YjKZsvTZat2mLRp27eMcBt30\n20KknT2EnxcucG6TnJyMuvXqo1P/wahUszaWf/MJSkWHY52HfmsHDx5E23bt0XvkG4gpURLfT5+I\nMuUTEFsuHid2bcb+fXsRF/dfzyuTyYS3pryN7Tt3okL58nh32jv47PMvsGz1WjwycCSuXzyP1fNm\n48C+fahYsaLPc+7OZrNlthDZc8HZVuP7d8bh0YebYfDgwTh69Chat2mLMZ/9hPiqNbD8m0/xz+Gd\n2LNrZ65fi6iwycsyQMx0EQXIQ82bYfrMj9GkTReER0Rg7U9fe+2f5a548eLOjFK4RoOMtP86rOvS\n7iDcJRDwpHr16vjg/cwO5A0bJ6L70OcQFhYGlVqDxLZdcejwoTy+q5zJZDJMmfIWJk16E1arFWq1\nGqdPn8Yvv/wCuVyOp556CuXLl/f4s7GxsZjsoWcVAPz00wLUadoKn00YCqNeh54vj0bzTj1gNhkh\ngyxbl3R3s2bNQnyt+nhhUmZ2Z+faZfhg5ABUqVwZ69as9vpeNG7nWalUwmTQO7826nVQKLPeNkuX\nLo3Nmzbi5cFD8eucD6HShOOixYKn+z+LH7//LksftIYNG2LZb79i6rTpOHjoEOq3bI/nxr8DmUyG\nH997HbNnz8aUKVOc2z/z7AD8fe0mHn7iOZw7sh/NWzyE9Ix0TPrhd5QqVwFo8TCu/XMev/76K0aN\nGpXjOfFELpejfMVKOLR9Axq1ag99RjpOHdqD6i89CwCoW7cuZn3yMV4e9CT0eh3qN2iIX5f8kuvX\nIaJMDLqIAmTAgAE4eeo0hnfOnPXVsVNnfDAj98vgTBg3Fj2f7IWU5Oswm4zYuORHbNm0ye+fr1Gj\nOg5t+xPV6jaCw27HsZ2b0KFFcLt6y+VyyOXy/xbI7tQDFrMZH32SiF07duRYvO/OarXi6pXLmP7r\nNBh1GRjftxNuX7+Go7u2YOOSuejarZvPTNqNW7dQtnJmt3WL2YRS8RURW7IkDuzbC7lcDofDgaNH\njyIjIwP16tXzur9XXxmFPv2eQsbdu7CYjVgz90usX5d9KZ9atWohOiYabZ94Bj1ffhUmowEfDHsa\n3333HQYOzLpGZ8uWLbG+ZUtUq1ELbXs+5RyWLFYqDunpLrMY9XosX/Yb5mw8CpUmHPWaJeHvE0eQ\neuwQ7C4zD+02m9+zLD1Z+NN8dOveHWvnfYnkK5fQt08ftGnTxvn9vn37ok+fPjCbzTh+/DiOHj2K\nsLAwlCtXLs+vSVRUcXiRKMAsFgusVqvHtQz9tWvXLsyb/xOUCgUGDXoR999/v98/e+3aNbR+uA1s\nYQqYjQZUqlAea1evytfx+Ktz124oW78F2jzeDwCwdM6HKAED5nyZu6VvqteshTb9BqFl1564cOIo\nZgx9GlWqVEa7tm0x5a3JUKvVHn/O4XAgOTkZmzZtwugx41GlXmPs/mMFHHY7qlSphsOHDkClUuGJ\nXr2xe89exBQviYzUW9i44U+ULVsWb06ajMNHjqB6tWqY9s5UFCtWDFu2bMF3P/wIuVyOwS8NQuPG\njT2+duWq1TD4va9Q7l6wt2reHBSz3sUsL8ssjR03Hms2bcUzY6bizu2bmPPGcCxZvMg5q9BgMKBY\n8eKY/edhaLSZQ6kzBvdBrcoVsOfAYXR5dgiuX7qALb/+hEMHD6Bs2bK5OseuUlJScOzYMZQqVcrj\nxA+Hw4Ghw4Zj6W/LEF+5Gi6cOIqfFy5A+/bt8/yaRKEuL8OLDLqIQpTdbsf8+fNx9uxZ1KtXD48/\n/jhkMhkuXbqE1NRU3L17F1qtFg0aNPDZ8ytQmrdshVZ9BjnbV2xd8Qtun9iLxT8vzNV+jh49ik6d\nu0CuUiP19k1MGD/e52y5O3fu4JFHe+DIkSOwWiwoU6YMrHIV3vh6MZQqNWa/PhzN6t2P+2vVxCdz\nvsVrn82HUqXG2gXf4uL+LZDL5bAoI9C0Uw8c3r4BN879hb27d0GlUvl1zB07d0HxqnXRbcAQWC1m\nzBzxLF58ujcGD/a8mLbVasW48ROwZOlShIdr8fhjj+K3Zctx+9YttGnbFl9+8TlGjByFA8dPIemx\nfjh39ADO7N+Og/v3YcHChVi1eg1KlCiBNyZOyLbIdqBt2rQJzzw3EG/NW4XwiEicPLALsycOxY3r\n1/OVZSMKZQy6iIoIh8OB3n374tipc6iV2AKHt65H5/ZtcefuXaxcuRLaiEgUuy8Gf6xbm6Uw+6uv\nv8bnX2RmnYYOGYwX3Ia+8uv9Dz7AN3N/wguTP4LFZMQXE4ZgxrSpeZqlZjQaceHCBcTGxvrVv6n/\ngOfwb7oJz46bBqNBj3FPtkXPl19Fy26ZTVRPHtiFtd98iFYtH8IlvQyP3mvbkHzlH7w76EnYbDZ8\ntHI35AoFHA4H3ujbEfO//wZNmzb163gvXryI1m3aQhkegYy7d9C4UWb9kz+z/E6cOIEWD7XEwMkf\nIr5ydSz5YgZKR6qw8Kf5mPnhh9ixcxfKx8dj8qQ3C6SX1ffff4+5v63Gi299BCDz+uv/YBWk3b0r\nSgaVSIpYSE9URBw5cgRbt+3Au0s2QqXWoNNTAzGkfSNUrH4/PlqxCyqNBos/fw+Dhw5zNtqcP38+\n3po6Dc+/MQMAMPntMdCGh6Nfv34BO67Rr7yC9LR0fDTiGcjlcrz2yqg8twXQaDS5Glbdv38/+o57\nF2FyObSRUYhLqIrTh/Y6g65zRw8iPj4e9erWxe/vfYAOvQdAo43A9lVLUb16dZw4cTJLgb7QHNQT\nu92OM2fOQC6Xo2rVqpDJZKhUqRL+OnYUR48ehVarRZ06dfzOAv3xxx9o0q4rGrR4GADQf+xUDOuY\nCIVCgbFjxvh9DoKlfv36GDNuApKv/IPS8RWxefkiJFSuwoCLKJcYdBGFoLS0NBSLLQWVOnO2XURU\nDBRKFR5o1w3qew/C5p16YM6E/4a2flr4M3oOGYtajTIzN4+//BoW/LwoYEGXzWaD0WjElClvYcqU\ntwKyT4fDga+/+QbzFyyEQafDQy2a47HHHvM4KzShUiWc2LcDle+vC7vdDrVajRN7tuK9l3tDpQnH\nlbMnsX3bViQkJGDrtu0Y2jERKrUGFrMJcXFxuP/+Wpj9+nA80L4bNvwyDyZdOm7dupXtddLS0tCp\nS1ecv/A37HZbZhC37DeEh4dDq9XiwQcfzPE9Wa1WnD9/HhqNBhUqVIBMJkN0dDRuX7viDPRuXruC\nyHvNZAPhwoULWLZsGVQqFXr16uUxW5aeno4hw4Zj69atKF2mNGZ9/DGaNMmcgNGgQQNMeWsSXu3T\nEdqICGjDw7F61cqAHR9RURHmexMikpr69evjzo3r2LBkPlJuXMOvX30MuVKJwzs2wWoxAwAObF6P\n6tWrOX9Gq9UiPfW28+v0OynQhvu/dEtOvpg9G1FR0ShRoiQeaNoM165dC9h+33n3fViUkfjn6r/Y\ne+oiHu/VB29NeTvbtp98/BG2/jof777UC5Of7gKFWY9jRw5j0tjReG3Iizh29AgqV64MmUyGBx9o\ngnIVK2PMZ/Mw+8/DqJ/UCREREWjZqA5+++I93LmVjAatO2Hw8JGYMDHrWpXjJ0yEungcZv6+Ax/+\nvhM6hwLTpk3Pdjye3Lx5E4kPPIjWbdujQaPG6N23H6xWK5588kkY79zCZ+NewpLZM/HRqAGY7tIs\nNj8OHjyIxCYPYO3uw1iybhPqN2iIq1evZtuu71NP49LtdAwKKw8wAAAgAElEQVSb+R0Su/ZBp85d\ncOnSJef3X37pJSRfv4YD+/bi/LmzPhuyElF2rOkiClEnTpzA8wNfxJmzZ2AwGDB1/ios+OQdXDp7\nCiqVGjaTDrt27EClSpUAAPv27UOHjp3Q5slnAQAbFv+AdWvXIDExMV/HsX37djz+ZC+M/3IRYstV\nwC+fz0D65TP4ad5cjH7tNZw9dx6NGjTAe+9Ody49443dbse5c+fgcDhQrVo1NGyciBY9n8W8mVPw\nwa+bEBl9H+7evokxPVvj9MmTWerVgMylmHbt2gWNRoPmzZt77cI/cuQo3EAEuvV/CQDw78XzmDX6\nOaxYvgxtO3TEu0s2QROuRVpqCl7t8RDOnTmD0qVLAwBaJrVG8ycHom7TzFmGu9evwN+71uPLLz7H\n0aNHER8fD4vFgolvvonUlFR069oFY8eMgVwuR+++fZEhj0TfUW/AYjLiw1EDMLBfLwwbNgwZGRn4\n9ttvcfPmTbRt2xZJSUn5+r0IOnTqgvKNWjpnlC785B0kxKjxyScfO7exWCzQRkTg220nnWtQznlj\nBPo/3hUDBgwIyHEQFTZ5qeliposoRN1///3YtXM7bt+8gYYNG2Lj0vl4bvw0dOw9AGm3b2Dzxo3O\ngAsAEhMTsWnjBpRT2xCvsWPzpo35DriAzPYWiW26oHT5SggLC0PXZ1/Grh070DKpNXTKaHR8fhRO\nXb2Jbt0fzbGpqcFgQPuOnfBQUmu0ergtWiZlduS/e/sWYsvGIzL6PgBATIlYlChVBjdv3sy2j5iY\nGHTs2BFJSUlQKpXOJXMefexxDBk6DMnJyQCAmjVr4K9dm2ExmwAAB7esR/Vq1TMXGo8rB829DGB0\nseKIKVYCqampzteoWaMGDm39Aw6HA3a7HYe3/Qm1UonadepiwpRpSGrTFi1btUZc3WZ4+Omh+GnJ\nMowdNx4AcPTocTTr1AMymQwqTTgate6Ew0ePAQAiIyMxYsQITJ06NWABFwCkpNxG2Ur/9UkrU7EK\nbqXczrKNXC6HSqnC3duZw6kOhwOpt5L9WlmAiPzHmi6iQuC3pUvQf8AATOzTHnFxZbFq5QrUqFEj\n23b16tXDxx9/FNDXLlu2LC4uWgqb1Qq5QoFzxw4hplgxhKnC0WtYZrBRo34TDO/cBJcvX0aFChU8\n7mfK21OhhxIzl++ATCbDN2+/hrjISKz96WsYDAbs27gGjVq1x851v8Oky0DVqlV9HtvwESOxaece\nPPzEM/j7ryNo2qw5Dh86iIEDB2LdH39izGNJiC5WHBZ9Bn5fvgxLlizBP+fOYO4Hk9Fz0CvYtmop\nlGGyLC0Z3p0+DQ+3bYeJvdrBZrOiXFwZ/LnzJEZ++C2q12uMjLQ7GNOzDSpW/x+q1W2I0uUrYsqA\n7vjg/RmoXr0aDm39Awm16sBmteLYzs14smtwe1116tgRy77+CKXLfwyjXo9187/CtCmTsmwTFhaG\nNye9iRlD+qLFI71w6dQxyMwGdO3aNajHRlTUcHiRiPLFarWiS7dHcOHSFcRVrIzje7Zj0ptv4NPZ\nczDlp7UICwuD2WTE8E5NcPKv416beHZ9pDuqPtQZD7TtAgA4smMTdv/6A0aPGolPPp2FAwcPIO3O\nHVSuWg2/LPoZ9evXz7aPBQsW4ONPZ8Fms+HFgc9j2PDh+Hz9AWeWbOaI/nhtyIvo1asXHA4Hjh8/\nDp1Oh6pVq6J1m7a4r1wCKtT4H9Yv+gFpqbdRt249LJg/D9WqVcvyOhaLBYcPH85cRqd8eSRUroKv\nt55wfv+DkQPQtMMjaN6pB65cOIOZQ5/C9Wv/4vLly2jdpi3CVBroM9Jxf80aWLF8mddmr4FgtVrx\nyuhXMW/eXCiVKrz66miM8bIO5/Lly7F58xbExZXBkCFDclzfkqioY58uIioQNpsN69evR0pKCpo1\na4b4+Hi0aNkKmhJx+N8DLbF73TJUjovFEg8LTQtefW0M9p06jxcnfwSZTIYfpk9AldhozP7ic+c2\nVqvV2fdKr9fjo48+woWL/+CBxMaIjY3Fy0OH49kJ06FQKPHjuxNw7fI/+HrLX86O7tMH98WIgf3x\n9NNPY/78+bh27RqaN2+O5ORkvPvx53jt858gk8lw+/q/GPN4a+h0GT7bPjgcDlSoWAk9Bo9F0w6P\n4PqlvzHxqS5o2q4rqtdPxOq5X2LIoIHOQMdgMODw4cPQaDSoV69elrUZiSh0MOgiIsnIyMjAtGnT\ncebcOTRq2ACvjh7ttbBd2L5dh464eu06wuRyFI+JxoY/1qNYsWLZtrVYLGiZ1BqyiPtQs1FT7Frz\nG6yGDLTtN8jZl2v/5nX45u0xqFD9f+j6zCCc/+sIVs+bg6GDX8buvftwx2BBxZp1sHvdcrR7OAmX\n7+jx0tuZS/aYTUa80Op/0Ot0fjU3PXjwILp2ewQOmQzpd+9i4sSJzpUBunbpjH79+rFzO1Ehw6CL\niEKa1WrFkSNH4HA4UK9ePa9B2saNGzFo2EhMnrsSYWFh0GekY3C7BugxcCS6Pz8UALB5+SIs+Ggq\nHmjfFdf/+Rv3lSyFkmXLwXztb/x99Rpe//Y3hIWFIfnyRYzv1R7aiAj0GvE6Eu6vgxXffYZiKmD5\nb7/6fexmsxlXrlxBbGwsogLYY4uIpIkd6YkopCkUCjRq1MjndocPH4ZMrnAOzWnCtVCpNVjz0xzY\nbFYoVWos+/ZTVKndABl3UvHapz8g/U4qZgzpi+6dO0IvUzl/NrZsedjsNvy+fBleGzse6+Z+jpYt\nW2KWS0uF06dPY8zYcbiWnIzWrVoioVIlbN+5E2XLxGHs2DEoUaIEVCpV0NdAJKLQxkwXEQWdzWZD\nSkoKihcvj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+sEawajt/06HA7ne4qMjHTeLAOx70DizTM05FQXZjKZnMvM5KUW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jqarbv2YrWYUWu0LPrxBx55cyoLvvyIdt368OCUTzFVl/PK609x621juOamWxEQ2LFlI0XF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\nly41npc335iGl4Mtr4/sxfRxA/Dw8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mdnXIIj6dijN2azmW3rfsPXScGR9FTa93mAhx5/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\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+xbp164iJifHS6lU8iRp01XJefvlltFotiYmJtGrVynLjKiwsZM+ePfTo0cPSWG+9C/a2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\n5IhqXK2i8hdq0KUie5yZJAI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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When a SVM classfier is run in the transformed space, the resulting hyperplane produces the following (correct) classfication in the original space:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "util.nonlinear_svm()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/Y1cMl2GnTp1p06Ytjx8/xsfHB4slUkOyc8cuZvw8ncXjB+OXpxCD5q0h4ZtN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O6k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\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w2LNsXPYNDrudAX17UlNnwFd740lbZ068DaPlR54b3QunUyYpPopfF0wlJNDnusc1SwAf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\n8aKfW2JDFAR+Ty6LFtruGqdG3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Up40iTcFUEQOBGdwawzMSxuGUbvHZH03/2YQJWUFxk6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NA5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\nWz9/jIxNObBpFUVLleO3RRvYsSyIvkPGsW+bqnpPqVQ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0wCDG9OuAY7PWAJw7tI+gmbPR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\nG6hUsRKzZ8/g2bOnuXzcv3eXslVrqgMugLJ2DqSnpvLm2SPiXr2gtE1pEhI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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This idea motivates a technique for increasing the complexity of classification tasks that an SVM can perform: Transform the input data into a high dimensional space where it may be linearly separable, find the maximum margin hyperplane in that space, then project it back into the original input space to produce a classification rule that may be non-linear. How do perform this process efficiently is described in the next section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###The Kernel Trick###\n", "\n", "Explicitly computing a data transformation $\\Phi$ for very high output dimensions can quickly become intractable. However, examination of the SVM optimisation shows that we actually never need this transformation, only the inner product between two transformed vectors. We can keep the algorithm tractable by computing the inner product in the transformed space without ever explicitly computing the transformation itself. This is known as the 'kernel trick'.\n", "\n", "Rather than defining $\\Phi$, we define a *kernel function* that maps two elements into the input space into $\\mathbb{R}$.\n", "$$\n", "k : \\mathcal{S}\\otimes\\mathcal{S} \\rightarrow \\mathbb{R}.\n", "$$\n", "\n", "Then $k$ defines the dot product in the transform space:\n", "$$\n", "k(x_i, x_j) \\triangleq \\dprod{\\Phi(x_i)}{\\Phi(x_j)}.\n", "$$\n", "\n", "This definition also generalises to complex-valued kernels, but we will keep things simple for now.\n", "For $k$ to behave as a valid inner product, it must be *positive definite*. That is, given any set ${x_i}_{i=1}^{m} \\in \\mathcal{S}$,\n", "$$\n", "\\sum_{i=1}^{m}\\sum_{j=1}^{m} c_i c_j k(x_i,x_j) \\ge 0\n", "$$\n", "for all $c_i, c_j$ in $\\mathbb{R}$. \n", "\n", "Now, we can choose a positive definite kernel function, and it will induce a transformation of our data to a different space. This can be much more efficient that computing the transformation directly, which may be extremely high dimensional (or even infinite dimensional).\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: To get a sense of how much time is saved, consider the transformation which maps a 3 dimensional vector to a point whose dimensions correspond to all possible products of the components of that vector of degree 10 or less: $\\Phi_{10}(([x]_1,[x]_2,[x]_3)) = [x]_1^{10}, [x]_1^9 [x]_2, [x]_1^8 [x]_2 [x]_3, \\cdots$\n", "How many terms are involved in computing this transformation explicitly? What about the 100-dimensional case?*\n", "\n", "\n", "*With the kernel trick, we can compute dot products in this space much more easily: $k(x,x^{\\prime}) = \\dprod{\\Phi_{10}(x)}{\\Phi_{10}(x^{\\prime})} = \\dprod{x}{x^{\\prime}}^{10}$.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Soft Margins##\n", "\n", "Even with kernel trick, it may not be possible to separate the classes of training data with a hyperplane. For example, noise may cause the two classes to overlap. In this case, we can add *slack variables* $\\xi_i$, which, for each data point, allow it to exist a distance proportional to $\\xi_i$ on the wrong side of the plane. The resulting optimisation is identical, except that the weights $\\alpha_i$ are bounded by a regularisation constant $C$; \n", "\n", "\n", "$$\n", "\\argmax{\\v{\\alpha}} W(\\alpha) = \\sum_{i=1}^{m}\\alpha_i - \n", "\\frac{1}{2}\\sum_{i,j=1}^{m} \\alpha_i \\alpha_j y_i y_j \\dprod{\\v{x}_i}{\\v{x}_j}\n", "$$\n", "subject to\n", "$0 \\le \\alpha_i \\le C, \\sum_{i=1}^{m}\\alpha_i y_i = 0$.\n", "\n", "Changing $C$ trades off between maximising the margin of the hyperplane, and minimising the degree of mis-classification." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: \n", "Run an SVM classifier over the titanic dataset, as you did in the previous sections. Compare the result of a linear kernel and a radial basis function('rbf') kernel. Note that the Scikit.learn SVM classifier has implemented the soft margin appoarch described above.* \n", "\n", "\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn import svm\n", "svm_instance = svm.SVC(kernel='rbf')\n", "svm_instance.fit(X,Y)\n", "plot_dim_1 = 0\n", "plot_dim_2 = 1\n", "util.plot_svm(X, Y, svm_instance, plot_dim_1, plot_dim_2, (-5,-5), (6,6))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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PD6aC2HGqGZva5mBT21x0xquG/18kkMCi+kNY3rgfl0zej4aKt/JWTPdcqnPVNRg8eTr3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"text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Preprocessing Data for SVMs##\n", "\n", "The decision boundary for the exercise above was poor at sepating the two classes of data (Try visualising different pairs of dimensions to get an idea). This is, in part, because SVMs are sensitive to the statistical properties of their input. Input spaces in which different dimensions are shifted or scaled will tend to make it more difficult for the algorithm to find a separating hyperplane. One approach is to encode a more complex kernel that can account for these different scales and offsets, but a simpler approach is to pre-transform the data before passing it to the SVM. \n", "\n", "Typically, the data are transformed to have mean zero, and either unit standard deviation in each dimension, or 'whitened' to remove correlation between dimension and produce a dataset whose covariance matrix is the identity. These transformations are illustrated below on a 2D Gaussian dataset." ] }, { "cell_type": "code", "collapsed": false, "input": [ "util.illustrate_preprocessing()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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vT7PjfCCTzf1/cfcba5W4NoJV8vtTFI1myOS5CttXikzh6CpxfycKnheskdfr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\nO2ZUZodjop3jcjvvAsFwGYt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vU0z5YVWtWkcFBQW77ZOXlyePJyHOKiNFIufqscceK2mz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muJAxcb5LFF6jTk9nT+p2jYsIU4HLeKxlCOEIcjUpYtWyYiIkuXLjXldAKiMZVijIY4UddgZrbx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\n3ebOw4XA74DLw++Tgeu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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Exercise: re-implement the SVM classifier with RBF kernel on the titanic dataset. This time, use the whitened inputs X_whiten. Has the result improved? How we measure this improvement in a quantitative way is the subject of the next section.*\n", "\n", "*Optional: Implement a function which transforms a dataset to have zero mean and an identity matrix as its covariance.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn import svm\n", "svm_instance = svm.SVC(kernel='rbf')\n", "svm_instance.fit(X_whiten,Y)\n", "plot_dim_1 = 0\n", "plot_dim_2 = 1\n", "util.plot_svm(X_whiten, Y, svm_instance, plot_dim_1, plot_dim_2, (-5,-5), (6,6))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ErFldhKk3L4GTeZSAIPiCNE+CEGZ06eppnvLyKg2uRBDCh8ysBPzvvXORnGzD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\nxfPJb48UTkdZrTW8c7lijLWKaSWp7lWSm2twjue8TtKKnPeRY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"text": [ "" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that now, the new dimensions of the input space are each weighted linear combinations of the old dimensions. When evaluating testing data, don't forget to transform it as well! (See the code at the beginning of this notebook for details)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluating Classification Algorithms\n", "Exersise: Run the Sklearn Naive Bayes, Logistic Regression and SVM models you previously trained on the titanic data set on a test set and compare how they perform. \n", "\n", "Hint: you don't want to re-train any models, only do prediction. If you are calling 'fit' on anything you are doing something wrong" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Compare the performance of the model you built on the titanic test data\n", "testX,testY = util.load_test_data()\n", "\n", "# Encode the test features for prediction with Naive Bayes using the encoder you built previously\n", "testXNB = nb_enc.transform(testX[:,0:2]).toarray()\n", "\n", "# Naive Bayes - generate predictions\n", "nb_pred = nb.predict(testXNB)\n", "\n", "# Logistic Regression\n", "logist_pred = titanic_logist.predict(testX)\n", "\n", "# SVM\n", "#svm_pred = titanic_svm.predict(testX)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sklearn provides many metrics for evaluating the performance of a classifcation algorithm see http://scikit-learn.org/stable/modules/model_evaluation.html\n", "You can pass in one of these metrics to Sklearn's cross-validation functionality so as to to optimize algorithms tunable parameters to the loss you care about. For this lab though we will just use them to explore how well we did on the test set" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Sklearn provides many metrics for evaluating the performance of a classifcation algorithm see http://scikit-learn.org/stable/modules/model_evaluation.html\n", "# You can pass in one of these metrics to Sklearns cross-validation functionality so as to to optimize algorithms tunable \n", "# parameters to the loss you care about. \n", "# For this lab though we will just use them to explore how well we did on the test set\n", "from sklearn.metrics import confusion_matrix, roc_curve, auc,accuracy_score \n", "\n", "# 1) Print the proportion of predictions that were correct using accuracy_score(trueY,pred)\n", "print(accuracy_score(testY,nb_pred))\n", "print(accuracy_score(testY,logist_pred))\n", "\n", "\n", "# 2) print the confusion matrix using confusion_matrix(trueY, pred))\n", "# returns a matrix [[true=0,pred=0,true=1,pred=0][true=1,pred=0,true=1,pred=1]]\n", "print(confusion_matrix(testY, nb_pred))\n", "print(confusion_matrix(testY, logist_pred))\n", "\n", "# Question: A true positive is an instance that is actually 1 and is classified as 1\n", "# A false positive is an instance that is actually 0 and is classified as 1\n", "# Which cells of the confusion matrix contain these values?\n", "\n", "\n", "# 3) ROC curves \n", "# For algorithms that estimate the probability an instance belongs to a class, \n", "# we could vary the threshold above which we classify instances as positive to \n", "# change the ratio of true positives to false positives. \n", "# The ROC curve plots the proportion of true positives versus the proportion of false positives for each threshold.\n", "# Plot the ROC curves: the function roc_curve(y_true, y_score) takes: \n", "# y_true: true labels \n", "# y_score: a score indicatingly likelihood that each instance is positive\n", "# returns: a tuple (false_positive_rate, true_positive_rate, thresholds)\n", "\n", "\n", "nb_score = nb.predict_proba(testXNB)[:,1]\n", "nb_fpr,nb_tpr,nb_thresh = roc_curve(testY,nb_score) \n", "\n", "lr_score = titanic_logist.predict_proba(testX)[:,1]\n", "lr_fpr,lr_tpr,lr_thresh = roc_curve(testY,lr_score)\n", "\n", "f,ax = pl.subplots(1,1)\n", "ax.plot(nb_fpr,nb_tpr,label=\"Naive Bayes\")\n", "ax.plot(lr_fpr,lr_tpr,label=\"Logistic Regression\")\n", "ax.set_xlabel(\"False Positive Rate\")\n", "ax.set_ylabel(\"True Positive Rate\")\n", "ax.set_title(\"ROC curves\")\n", "ax.legend(loc=\"lower right\")\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.810897435897\n", "0.807692307692\n", "[[180 23]\n", " [ 36 73]]\n", "[[182 21]\n", " [ 39 70]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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QhtgezwDyKD4A/RXwNLDJ9ngt8Cjwc4l9aYyhktKy0pizYQ5Lti3hqag5pO+6ivlzgrll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\nLriffuwEtetUY6Q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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Question: What would the ROC curve look like for a classifier that made no errors?\n", "\n", "Question: What is the significance of an ROC curve that lies below the line false_positive = true_positive?" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 40 } ], "metadata": {} } ] }