Skip to content

Instantly share code, notes, and snippets.

@dodijk
Last active August 29, 2015 14:15
Show Gist options
  • Save dodijk/9a35df3cfa347ef29c2a to your computer and use it in GitHub Desktop.
Save dodijk/9a35df3cfa347ef29c2a to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:43e27083040dae0547b4cb0953ec89f446c1457f09b48f464ec278689f3c344b"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Classification in Python with scikit-learn - http://bit.ly/UvABigData\n",
"\n",
"This notebook looks into the problem of classification and introduces a number of classification techniques. It will try to convey their corresponding strengths and weaknesses by visually inspecting the decision boundaries for each model.\n",
"\n",
"*This notebook was partially based on a [tutorial by Jake van der Plas](https://github.com/jakevdp/sklearn_pycon2014/) and a [blogpost](http://www.datarobot.com/blog/classification-with-scikit-learn/) about the book [Introduction to Statistical Learning](http://www-bcf.usc.edu/~gareth/ISL/) used for a [free online course from Stanford](http://online.stanford.edu/course/statistical-learning-winter-2014).*"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"This tutorial will require recent installations of a number of Python goodies, including matplotlib, scikit-learn, pandas, seaborn and ipython with ipython notebook. If you're not familiar with this, the easiest is probably to install a Python environment, such as [Enthought Canopy](https://www.enthought.com/products/canopy/) or [Anaconda](http://nbviewer.ipython.org/github/jakevdp/sklearn_pycon2014/blob/master/notebooks/00_Preliminaries.ipynb)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pandas"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas\n",
"\n",
"pandas.read_csv('https://d1pqsl2386xqi9.cloudfront.net/notebooks/Default.csv', index_col=0).head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>default</th>\n",
" <th>student</th>\n",
" <th>balance</th>\n",
" <th>income</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 729.526495</td>\n",
" <td> 44361.625074</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> No</td>\n",
" <td> Yes</td>\n",
" <td> 817.180407</td>\n",
" <td> 12106.134700</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 1073.549164</td>\n",
" <td> 31767.138947</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 529.250605</td>\n",
" <td> 35704.493935</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 785.655883</td>\n",
" <td> 38463.495879</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
" default student balance income\n",
"1 No No 729.526495 44361.625074\n",
"2 No Yes 817.180407 12106.134700\n",
"3 No No 1073.549164 31767.138947\n",
"4 No No 529.250605 35704.493935\n",
"5 No No 785.655883 38463.495879"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"## Scikit-learn\n",
"\n",
"In this notebook we will use [scikit-learn](http://scikit-learn.org), an easy-to-use, general-purpose toolbox for machine learning in Python. Scikit-learn is a library that provides a variety of both supervised and unsupervised machine learning techniques. [Supervised machine learning](http://en.wikipedia.org/wiki/Supervised_learning) refers to the problem of inferring a function from labeled training data, and it comprises both regression and classification. [Unsupervised machine learning](http://en.wikipedia.org/wiki/Unsupervised_learning), on the other hand, refers to the problem of finding interesting patterns or structure in the data; it comprises techniques such as clustering and dimensionality reduction.\n",
"\n",
"In addition to statistical learning techniques, scikit-learn provides utilities for common tasks such as model selection, feature extraction, and feature selection.\n",
"\n",
"Scikit-learn provides an object-oriented interface centered around the concept of an ``Estimator``. According to the [scikit-learn tutorial](http://scikit-learn.org/stable/tutorial/statistical_inference/settings.html#estimators-objects) \"*An estimator is any object that learns from data; it may be a classification, regression or clustering algorithm or a transformer that extracts/filters useful features from raw data.*\" The API of an estimator looks roughly as follows:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class Estimator(object):\n",
" \n",
" def fit(self, X, y=None):\n",
" \"\"\"Fits estimator to data. \"\"\"\n",
" # set state of ``self``\n",
" return self\n",
" \n",
" def predict(self, X):\n",
" \"\"\"Predict response of ``X``. \"\"\"\n",
" # compute predictions ``pred``\n",
" return pred"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ``Estimator.fit`` method sets the state of the estimator based on the training data. Usually, the data is comprised of a two-dimensional numpy array ``X`` of shape ``(n_samples, n_predictors)`` that holds the so-called feature matrix and a one-dimensional numpy array ``y`` that holds the responses.\n",
"Some estimators allow the user to control the fitting behavior. For example, the ``sklearn.linear_model.LinearRegression`` estimator allows the user to specify whether or not to fit an intercept term. This is done by setting the corresponding constructor arguments of the estimator object:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LinearRegression\n",
"est = LinearRegression(fit_intercept=False)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The docstring of the estimator shows you all available arguments - in IPython simply use ``LinearRegression?`` to view the docstring."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"LinearRegression?"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df = pandas.read_csv('https://d1pqsl2386xqi9.cloudfront.net/notebooks/Default.csv', index_col=0)\n",
"df.describe()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>balance</th>\n",
" <th>income</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td> 10000.000000</td>\n",
" <td> 10000.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td> 835.374886</td>\n",
" <td> 33516.981876</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td> 483.714985</td>\n",
" <td> 13336.639563</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td> 0.000000</td>\n",
" <td> 771.967729</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td> 481.731105</td>\n",
" <td> 21340.462903</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td> 823.636973</td>\n",
" <td> 34552.644802</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td> 1166.308386</td>\n",
" <td> 43807.729272</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td> 2654.322576</td>\n",
" <td> 73554.233495</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
" balance income\n",
"count 10000.000000 10000.000000\n",
"mean 835.374886 33516.981876\n",
"std 483.714985 13336.639563\n",
"min 0.000000 771.967729\n",
"25% 481.731105 21340.462903\n",
"50% 823.636973 34552.644802\n",
"75% 1166.308386 43807.729272\n",
"max 2654.322576 73554.233495"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df.default.value_counts()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
"No 9667\n",
"Yes 333\n",
"dtype: int64"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"During the fitting process, the state of the estimator is stored in instance attributes that have a trailing underscore (``'_'``). For example, the coefficients of a ``LinearRegression`` estimator are stored in the attribute ``coef_``:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Estimators that can generate predictions provide a ``Estimator.predict`` method. \n",
"In the case of regression, ``Estimator.predict`` will return the predicted regression values; it will return the corresponding class labels in the case of classification. Classifiers that can predict the probability of class membership have a method ``Estimator.predict_proba`` that returns a two-dimensional numpy array of shape ``(n_samples, n_classes)`` where the classes are lexicographically ordered."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For more information on scikit-learn please consult the detailed [user guide](http://scikit-learn.org/stable/user_guide.html) or walk through the excellent [tutorial](http://scikit-learn.org/stable/tutorial/basic/tutorial.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Understanding Classification\n",
"\n",
"Although regression and classification appear to be very different they are in fact similar problems. \n",
"\n",
"In regression our predictions for the response are real-valued numbers; on the other hand, in classification the response is a mutually exclusive class label such as \"Is the email spam/ham?\" or \"Is the credit card transaction fraudulent?\". If the number of classes is equal to two, then we call it a binary classification problem; if there are more than two classes, then we call it a multiclass classification problem. In the following we will assume binary classification because it's the more general case, and \u2014 we can always represent a multiclass problem as a sequence of binary classification problems.\n",
"\n",
"We can also think of classification as a function estimation problem where the function that we want to estimate separates the two classes. This is illustrated in the example below where our goal is to predict whether or not a credit card transaction is fraudulent -- the dataset is provided by James et al., <a href=\"http://www-bcf.usc.edu/~gareth/ISL/\">Introduction to Statistical Learning</a>."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"\n",
"# random training data\n",
"X = np.random.rand(10, 2)\n",
"y = np.random.randint(2, size=10)\n",
"est.fit(X, y)\n",
"est.coef_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"array([ 0.15537974, 0.58440649])"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For example, the Credit data used below records balance\n",
"(average credit card debt for a number of individuals) as well as a\n",
"quantitative predictors: income (in thousands of dollars). In addition to these quantitative\n",
"variables, we also have a qualitative variables: student (student\n",
"status)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# downsample negative cases -- there are many more negatives than positives\n",
"indices = np.where(df.default == 'No')[0]\n",
"rng = np.random.RandomState(13)\n",
"rng.shuffle(indices)\n",
"n_pos = (df.default == 'Yes').sum()\n",
"df = df.drop(df.index[indices[n_pos:]])\n",
"\n",
"df.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>default</th>\n",
" <th>student</th>\n",
" <th>balance</th>\n",
" <th>income</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>20</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 1095.072735</td>\n",
" <td> 26464.631389</td>\n",
" </tr>\n",
" <tr>\n",
" <th>38</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 351.453472</td>\n",
" <td> 35087.488648</td>\n",
" </tr>\n",
" <tr>\n",
" <th>61</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 766.234379</td>\n",
" <td> 46478.294257</td>\n",
" </tr>\n",
" <tr>\n",
" <th>78</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 728.373251</td>\n",
" <td> 45131.718265</td>\n",
" </tr>\n",
" <tr>\n",
" <th>79</th>\n",
" <td> No</td>\n",
" <td> No</td>\n",
" <td> 76.991291</td>\n",
" <td> 28392.093412</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
" default student balance income\n",
"20 No No 1095.072735 26464.631389\n",
"38 No No 351.453472 35087.488648\n",
"61 No No 766.234379 46478.294257\n",
"78 No No 728.373251 45131.718265\n",
"79 No No 76.991291 28392.093412"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df.default.value_counts()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"Yes 333\n",
"No 333\n",
"dtype: int64"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import seaborn\n",
"colors = matplotlib.colors.ListedColormap([\"#e74c3c\", \"#34499e\"])\n",
"grid = seaborn.JointGrid(df.balance, df.income,\n",
" xlim=(df.balance.min(), df.balance.max()),\n",
" ylim=((df.income.min(), df.income.max())))\n",
"\n",
"grid.plot_joint(scatter, c=df.default == 'Yes', cmap=colors)\n",
"seaborn.boxplot([df.income[df.default == 'Yes'], df.income[df.default == 'No']], \n",
" color=colors.colors, ax=grid.ax_marg_y)\n",
"seaborn.boxplot([df.balance[df.default == 'No'], df.balance[df.default == 'Yes']], \n",
" color=colors.colors, ax=grid.ax_marg_x, vert=0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x113d70710>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAakAAAGpCAYAAAA3LMlbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhBDCZ0mQEkII4bP+HzPoHY6lg0wuAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x113d46150>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Above you can see a scatter plot where fraudulent cases are marked as red circles and non-fraudulent cases in blue. A good separation seems to be a vertical line at around a *balance* of 1400 as indicated by the boxplots above."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Least Squares \n",
"\n",
"A simple approach to binary classification is to simply encode *default* as a numeric variable with ``'Yes' == 1`` and ``'No' == -1``; fit an Ordinary Least Squares regression model. We can then use this model to predict the response as``'Yes'`` if the regressed value is higher than 0.0 and ``'No'`` otherwise. The points for which the regression model predicts 0.0 lie on the so-called *decision surface* -- since we are using a linear regression model, the decision surface is linear as well. The example below illustrates this."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LinearRegression\n",
"\n",
"# get feature/predictor matrix as numpy array\n",
"X = df[['balance', 'income']].values\n",
"\n",
"# encode class labels\n",
"classes, y = np.unique(df.default.values, return_inverse=True)\n",
"y = (y * 2) - 1 # map {0, 1} to {-1, 1}\n",
"\n",
"# fit OLS regression \n",
"est = LinearRegression(fit_intercept=True, normalize=True)\n",
"est.fit(X, y)\n",
"\n",
"# plot data and decision surface\n",
"ax = plt.gca()\n",
"ax.scatter(df.balance, df.income, c=(df.default == 'Yes'), cmap=colors)\n",
"try:\n",
" plot_surface(est, X[:, 0], X[:, 1], ax=ax)\n",
"except NameError:\n",
" print('Please run cells in Appendix first')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAFRCAYAAABdSSXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10f22ffd0>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Points that lie on the left side of the decision boundary will be classified as negative; points on the right side, positive. The implementation of ``plot_surface`` can be found in the Appendix. \n",
"We can asses the performance of the model by looking at the [confusion matrix](http://en.wikipedia.org/wiki/Confusion_matrix) \u2014 a cross tabulation of the actual and the predicted class labels. The correct classifications are shown in the diagonal of the confusion matrix. The off-diagonal terms show you the classification errors. A condensed summary of the model performance is given by the *misclassification rate* determined simply by dividing the number of errors by the total number of cases."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.metrics import confusion_matrix as sk_confusion_matrix\n",
"\n",
"# the larger operator will return a boolean array which we will cast as integers for fancy indexing\n",
"y_pred = (2 * (est.predict(X) > 0.0)) - 1\n",
"\n",
"def confusion_matrix(y_test, y_pred):\n",
" cm = sk_confusion_matrix(y, y_pred)\n",
" cm = pandas.DataFrame(data=cm, columns=[-1, 1], index=[-1, 1])\n",
" cm.columns.name = 'Predicted label'\n",
" cm.index.name = 'True label'\n",
" error_rate = (y_pred != y).mean()\n",
" print('error rate: %.2f' % error_rate)\n",
" return cm\n",
" \n",
"confusion_matrix(y, y_pred)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"error rate: 0.12\n"
]
},
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th>Predicted label</th>\n",
" <th>-1</th>\n",
" <th>1</th>\n",
" </tr>\n",
" <tr>\n",
" <th>True label</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>-1</th>\n",
" <td> 282</td>\n",
" <td> 51</td>\n",
" </tr>\n",
" <tr>\n",
" <th> 1</th>\n",
" <td> 29</td>\n",
" <td> 304</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"Predicted label -1 1\n",
"True label \n",
"-1 282 51\n",
" 1 29 304"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above example we are assessing the model performance on the same data that we used to fit the model. This might be a biased estimate of the models performance, for a classifier that simply memorizes the training data has zero training error but would be totally useless to make predictions. It is much better to assess the model performance on a separate dataset called the test data or held-out data. \n",
"Scikit-learn provides a number of ways to compute such held-out estimates of the model performance. One way is to simply split the data into a training and testing set. Alternatively we can test multiple times on multiple folds."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.cross_validation import train_test_split, KFold\n",
"\n",
"print train_test_split(range(10), test_size=.2)\n",
"print \n",
"for fold in KFold(10, n_folds=5):\n",
" print fold"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[array([6, 4, 0, 9, 3, 8, 5, 2]), array([7, 1])]\n",
"\n",
"(array([2, 3, 4, 5, 6, 7, 8, 9]), array([0, 1]))\n",
"(array([0, 1, 4, 5, 6, 7, 8, 9]), array([2, 3]))\n",
"(array([0, 1, 2, 3, 6, 7, 8, 9]), array([4, 5]))\n",
"(array([0, 1, 2, 3, 4, 5, 8, 9]), array([6, 7]))\n",
"(array([0, 1, 2, 3, 4, 5, 6, 7]), array([8, 9]))\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.cross_validation import train_test_split\n",
"\n",
"# create 80%-20% train-test split\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2)\n",
"\n",
"# fit on training data\n",
"est = LinearRegression().fit(X_train, y_train)\n",
"\n",
"# test on data that was not used for fitting\n",
"y_pred = (2 * (est.predict(X) > 0.0)) - 1\n",
"\n",
"confusion_matrix(y_test, y_pred)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"error rate: 0.12\n"
]
},
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th>Predicted label</th>\n",
" <th>-1</th>\n",
" <th>1</th>\n",
" </tr>\n",
" <tr>\n",
" <th>True label</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>-1</th>\n",
" <td> 282</td>\n",
" <td> 51</td>\n",
" </tr>\n",
" <tr>\n",
" <th> 1</th>\n",
" <td> 29</td>\n",
" <td> 304</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"Predicted label -1 1\n",
"True label \n",
"-1 282 51\n",
" 1 29 304"
]
}
],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Classification Techniques\n",
"\n",
"Different classification techniques can often be compared using the type of decision surface they can learn. The decision surfaces describe for what values of the predictors the model changes its predictions and it can take several different shapes: piece-wise constant, linear, quadratic, vornoi tessellation, \u2026"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This section will introduce some popular classification techniques: Logistic Regression, Support Vector Machines, Nearest Neighbor and Decision Trees. We will investigate what their strengths and weaknesses are by looking at the decision boundaries they can model. In the following we will use three synthetic datasets that we adopted from this [scikit-learn example](http://scikit-learn.org/stable/auto_examples/plot_classifier_comparison.html)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Adopted from: Gael Varoqueux\n",
"# Andreas Mueller\n",
"from collections import OrderedDict\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.datasets import make_moons, make_circles, make_classification\n",
"\n",
"# generate 3 synthetic datasets\n",
"X, y = make_classification(n_features=2, n_redundant=0, n_informative=2,\n",
" random_state=1, n_clusters_per_class=1)\n",
"rng = np.random.RandomState(2)\n",
"X += 2 * rng.uniform(size=X.shape)\n",
"linearly_separable = (X, y)\n",
"\n",
"datasets = OrderedDict()\n",
"for name, (X, y) in [('moon', make_moons(noise=0.3, random_state=0)),\n",
" ('circles', make_circles(noise=0.2, factor=0.5, random_state=1)),\n",
" ('linear', linearly_separable)]:\n",
" X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=.4, random_state=1)\n",
" # standardize data\n",
" scaler = StandardScaler().fit(X_train)\n",
" datasets[name] = {'X_train': scaler.transform(X_train), 'y_train': y_train,\n",
" 'X_test': scaler.transform(X_test), 'y_test': y_test}\n",
" \n",
"# plots the datasets - see Appendix\n",
"plot_datasets()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8FGX+wPHP7qb3QkICCR2W0Am9N0ERAZGj2lEsJ9az\ne+p5Zzm7cj9RTzwQBCkqoiC9997LAgklCekhpO5my/z+2Ih0QrKb2d1836+XLzPJzDzfhH1mvvPM\nUzSKoiCEEEIIIYS4OVq1AxBCCCGEEMIdSSIthBBCCCFEJUgiLYQQQgghRCVIIi2EEEIIIUQlSCIt\nhBBCCCFEJUgiLYQQQgghRCV4qR2AEEKIS+n1+g7AywaDYdRNHDMdOGAwGD52WmBCiArR6/V9gf8D\nfgJOGAyGmepGJJxFEmkhhHAxBoNhF1DhJLqcUv6fEMI1KAaD4U21gxDOJYm0Gyt/4n0PSANaAiXA\nm8BTgB74yWAwPKfX6x8BngSsQCYwyWAwHNfr9aHAF0Bb7DfgJcCrBoPBqtfrjeXnHgjUAT43GAyf\nV+fvJ0RNodfrJwDPYa+jOcB04EWDwdC6vKU5AmgE/Aa8jb2lqztgAX4xGAyvlZ9KU36+BOAzIBLQ\nAZMNBsM0vV4fBEwDmgA2YBfwqMFgkARcCCfQ6/XTgIMGg+Hj691X9Xr9Q8Dj2Lvc5mK/Txv0en0z\n7PfpwPJj9gJjDAaDSa/Xm4BfsN/DxxsMht3V/OsJpI+0J+gI/MtgMCRgT5JfAW4HEoEn9Hr9OOAF\noK/BYGgHzMZe8QAmA9kGg6F1+XnaAs+X/8yn/Gc9gb8A/9br9T7V9DsJUWPo9fq2wL+BWw0GQ1vg\nV+BVLm1d9jMYDK0MBsMrwL+w18/mQDugh16v71O+n6LX63XAj9i7hnQE+gLP6/X6LsAIIMhgMLQH\nOpUf09Cpv6AQ4o+6fNX7ann9vQ/oZTAYEoEPgZ/Lj3kYmGYwGLpjfwBuiP0eD+AN/GowGJpLEq0e\nSaTd30mDwbCv/OskYLXBYLAYDIZcoAB7ZZ1Tvo3BYPgOqKvX6xsAt2Fv2cJgMJQBXwGDLzr3wvL/\n7wF8sT8RCyEcawCw1GAwpAGUt1A9RnnrMvab8MbL9v/WYDAoBoPBbDAY+hoMhnUX/VyPvfX6f3q9\nfg+wFvDDnnRvAFrq9fo1wMvAZwaDIdl5v5oQ4jKX31eDgCHYk+TN5XX2fSBcr9eHAS8BuXq9/gXs\n9+g65cf8YUN1BS6uThJp92e6bNty2baNP2/If9Bgf5LVXvYzHZd29ykFuOi17+XnEUJUnfniDb1e\n74s9Gb5Y8UVfX1LH9Xp9Xb1eH3nRt7RAvsFgaP/Hf0AP4DuDwXAK+w37PSAEWKnX60c65tcQQlTA\n1e6rWmDmRfU1EehqMBjygTnAROAU8Amwm0vvxUXVFLe4BkmkPd86YIxer68FoNfrH8TeB/MEsAx4\novz7vsAjwAqV4hSiploD3KLX62PKtx/H/mr3Wg+wK4H79Xq9prze/gT0vujnBsCo1+vvBtDr9fHA\nPiBRr9c/hv018XKDwfAy9mtAS2f8UkKIC67XCKUAy4FxF10DJpZ/D2AQ8E+DwTC/fLsL9kYv4SIk\nkXZ/lw8SUi77ejXwKbBar9cfBO4F7ih/Gn4KiNbr9QeA/cAR4J0KnFcI4SAGg+Eg9nEMS/V6/V7s\nN87HLtrl8tk43gLKsCfHu4HFBoNhwUXnMwPDgYf1ev0+7Mny6waDYTMwA9Dp9frDer1+BxAMyCBi\nIRxPuej/ymXfu2Qfg8GwHHt3jhXldfYe7OMZwD5eYoFer98MvIH9wbnJNc4nVKBRFPl3EEIIIYQQ\n4mZJi7QQQgghhBCVIIm0EEIIIYQQlSCJtBBCCCGEEJUgibQQQgghhBCV4PQlwrOzC2U0Yw23dcli\nOk64h1irFYB8YNXnX9B73L3qBuZioqKCXX6ebqnP4mYsf+9fjP30wwtzda0PCSFi005q14657nGe\nQOqzqClWffMVd772In7l2yk6HYdmz6dDv1tUjauqcnJyONu9AwPyz4GiXLM+S4u0cLout93O73ff\nx1Y/f3b7+jL3L2PoOeZutcMSQjhZz6f/xjd9+nHAy4s1oWGkP/F0jUiihahJbIWFF5JogFpWK8W5\nuarF4yi1atUi78lnWBUWft39nD79nTzxij+cPZuG1WIhLr4eGo3LN9ZUO2nBEp7IarVy5swpgoJC\niIqKUjucaiP1WdQUGadPc2LsCEYknUABprVLpN/PiwgKCrrhse4gJyeHhISG16zPkkh7AKPRSGZm\nBjExsfj6+qodjqgkufEK4TmkPouaJPXEcY7MmoFNp6PLX58iLCJC7ZAc6nr1WRJpN3d0yybSX3gW\nffIJjjZtRvzHk2nasbPaYYlKkBuvqCmsVitmsxk/P78b7+ympD4L4TmuV5+lj7SbS/nwPUYfO0pb\ni4UxRw5z6oN31Q5JCCGuaf1/p7C5c1sOdmjFgkmPYi0fhCyEEO7I6bN2COfyLSy4dLuoSKVIhBDi\n+tLOnCbmg3fpUWC/bhXN+4HFrVrT/7FJKkcmhBCVIy3Sbq6oW0/OlQ/cy9FqKe7eU+WIhBDi6jJP\nnaRxwZ8P/0GAkpmpXkBCCFFF0iLt5ga/9Q4rYmJQThxH2zyB2yY+rnZIQghxVc0SO7KmRUvGHT4E\nwM6wMGr37a9yVEIIT2WxWFj90b/xPnMaJaEl/SY97fBZwySRdnMajYZ+f31K7TCEEOKGgoKCaP7t\nTGZ9/jE+ZWWEDB1OYp9+aoclhPBQS154lnGzvsMfyNNo+L2wgFtffcOhZUgiLYQQotrENW5C3OQv\n1Q5DCFEDhO7ajn/51xGKgv/2rQ4vQ/pIV7OM06c5vnM7xTIoUAghhBDCaYyXrUpYGhbm8DKkRboa\nHf19EXWWL6G+RsvBwEAinniKyNg6TinLYrGgKAre3t5OOb8Qwj2kHD/G0WW/ExgXT7fhd8mqokKI\nGqP+K28w66XnqJeWQnKTZrR6xbHdOkAS6WpjsVjwWbWcOjr7n7x9aSk7li0h8oGHHF7Wqk8+wHfm\ndLysFnLuGM6Qdz6Qm6cQNZBh+1ZKHnuI8akpZOp0LN6+lTve/VDtsIQQolrou3WnyZpN5Ofn0yw8\nHK3W8R0xpGtHNbHZbHhftoqkRrE5vJzD27fS5vNPGJGWytCMDIZMm8rmH+c5vBwhhOtLmTmdQakp\nANS2Won55WeKi4tVjkoIIaqPTqcjMjLSKUk0SCJdbXx8fMhr34ESmz15PqHTEdK9l8PLST92lGal\nJRe2o61WSlLOOLwcIYQb0Fx6ibdpNE67mQghRE0kXTuqUZt77sfQuAmWc3lEtmpLTP36ji/jllv5\nvWEjhp1MBmB97do0vmWgw8tRg6IobPj+O0zpZ2l862AatW2vdkhCuLRGDz/Cb1s3M+RUMim+vuSN\nGY+/v/+NDxRCCFEhGuWy7gaOlp1d6NwCxBWS9u4m+esp6KxWosbdQ+t+A9QOySEWPjuJkbNnEq4o\nrK8dg/WL/9Kqd1+1w3KYqKhgl+/ILvXZ/WSmpbJ/yWIiGjaiwwDPeKh2B1KfhfAc16vPkkgLt1Bc\nXIyhYytuzc298L05o8Yy4Iv/qhiVY8mNVwjnsVgsrJ/+LdbCAlqNGEVsgwZOLU/qsxCe43r1Wbp2\nCLeg0+kweV06lZ/VSz6+Qogbs9lsLHzoPu5fsgh/YMHc2VhmziW+aTO1QxNCuDkZdSLcgp+fH8X3\nT+CAvz8lwPxmevR/fVLtsIQQbuDE0cP0Xfb7hRXORiQnYfj+O1VjEkJ4BmnSE27jludf5uiAQSxJ\nPkG7frcQFhGhdkiiBrBYLPz+wjOEb99KaWgY8S//nQQP6ptfE3j5+GL08oKyMgAUwKrTqRuUEMIj\nSB9pIVyEu/WptFqt6GpAMrLig3cZ8dG/L7Rmzm2mp+fqTfj4+Kgal7g5C//2NLfOnkEtq5W5bdrR\n7YefiIiKclp57lafhRDXJn2khRAOcy4zk7Rp3xCYnUlJrWhiHnjIaUvduwJdyhkunjCuQWoq587l\nUbt2jGoxOZKiKBxZ9Cu6M6cwh0fQdORofH191Q7L4YZ99Bl7hg6jMCuLPrffQVBQsNohCSE8gCTS\nlZR+6hQH5/8A/v70evgx/Pz81A7pmkpLS/H19ZWFGIRDnJ03m67Z2YAWcnLYNnc2kc88r3ZYTqNt\n3Yas+XOILl9MydBMz6BazmvJrG6Hf/mZtutW46fzwqYksbXgPG0em6R2WA6n0WhI7OsZU4EKIVyH\nJNKVkJacRPLdoxifdAIzMHX9Wu6c/SNeLjaLRHFxMcsfeZD4Pbs4HxZOxMt/p/2wO9UOS7g5n4KC\nS7cLC66xp2foM/FxVp4/j8/WzZSGhNDy5dc9qkuL96lk/HT2a5dWoyHwjKyEKoSr+qM7rkbj8j2H\nagzXyvzcxOEfvmd80gkAvIFha1dzcPs22nXvoW5gl9nw77d5aMVSdAA52cx95x9Ybr/D5RJ+4V5K\nGzTEnJODt1aLxWajtEEjtUNyKo1Gw8AXXlE7DKcpCw5BUZQLN2ZTSIjKEQkhrmb9119gmzYVL7OF\ngiFDGfzWO5JQuwDJqCrB5u2NjT/nDiz08sI3MFDNkK7KNzeHi9vNYnNzKCwsIDxcZrsQlddy7N3s\n8vPHOzMdS+3atBg+Uu2QRBU0GDOOrd98SeDZdErDwogae4/aIQkhLnPiwH4afPAuHQoLAciY+hWb\nW7ehx6ixKkcmJJGuhB6PT+J/69cwavs28nQ6Nowez/A2bdUO6wo+3Xpw6rdfaGAyoQBHW7WleVi4\n2mEJN6fT6Wg1cpTaYXiEQ+vXkj5lMl5lZZxp0ZnTvp2JjNTwyCMDqu3NUVBwCK2fewmbzSbjKIRw\nUamHDzGsPIkGiLFYKD19Sr2AxAUy/V0lGY1Gdq9aQWBYGG2693TZ1ysbp03FvHkDpcGhdHvtTcIj\nI9UOSVyDTJdVs+RkZXFycH9uT7H3Sd6DH7cyl2xuYfjwWXzzjbQ0uTOpz8KRsjMzSL7jVu44fRKA\nHeERGL+bTfOu3VWOrGa4Xn2WRFoIFyE33pply5LF9Lp/HBe/I+rCK2znXUJD17JjRyPC5A2S25L6\nLBzt2I5tnP7qC7wsZkL+MpYOQ4erHVKNIfNIV0DR+XxO/fA9vvn5lNaNI2Hs3Xh7e6sdlhCimuz6\ndQHnN6zHGhVFn2eed/qCKw1at2FvVBT9srMBOIk3aSQA4OdXhI+P583lLISovGadutCsUxe1wxCX\nkUS63Mnp39L19Gk0Gg3WzEx26HS0Gn+v2mEJIarBtrmzafzy30goLsYEfHfMwIip3zm1zNi4eNL+\n9W/mfvUFSlER088nkJY9iMDA7UycaCYgIMCp5QshhKg6SaTLBWRlXujnrNNq8UlPVzkiIUR1KVm5\njITiYgB8gbpbNmEymZy+wl/Hu0bBXfaBm12Li9mx4yD16kXTqNEtTi1XCCGEY0giXa40shakpQFg\nUxTKojxn5TIhxPWZ/C9t/S0KDq72rl2BgYH07du5WssUQghRNTLXUbm4ex9ka7167AsJZmvzBJqO\nHqd2SEKIatL+xVeZltiRQzodv8fEEvjM8zIVnBBCiBuSWTuqgc1m49j6tSjFxdTu0JGImNhKnaeo\n4DxpRw4TFluH2vXqOzhKoTYZ5a+usrIyUlPPEBlZi9DQMLXDES7OaDRybP9eImJiibvK9VjqsxCe\nQ2btcILtC36icN8eApq3oNvY8dfcT1EU9n49ha6Go/jodBzasBbLE08THV/vpsrLOnOaoq+/oG1J\nKRmKjWNDhtJs4G1V/TWEqDaKopCXl0dQUJDT+x5Xho+PD40aNXHY+Qryz7Hh7y8TlH6WoiZNueWf\n77nk712TWK1Wjq9bA0YjMZ26EFbJLnw5mRlsvW8ct+zZRUpQEGueeZ5+Tz3n4GiFEO5A3l1Wwpov\nJtPyqccYO2UyHf/2JMvff/ua+57Ly6PRoQP46OyLdbc0W8jbtOG65z+ycQPLhw9mfb8eLHr1BWw2\nG7nLl9DGaMJLqyVO54V25XIc+TZBURSOb1jH0QU/knr4oMPOKwRAUVERP4+9i+zObdjRLZGts2aq\nHZLTrXtmEvfP+4G/bFjH+GlTWfnGK2qHVKMpisK+KZNp+9tCOq5awblPPyA3/WylzrXz0w95YM8u\n4oHuRUUEfz2FoqLCGx4nhPA80iJdCZqli2lgMgFQx2zGb/kyeOnvV93Xy9sLo+7P5xVFUbBdp++l\n0Wgk86Vnufv4MQDOHzrA0ti61L2sJUtrtaIoisNWVDw47wfabNlMoE7H2Q3rSR4zjkZdujnk3EJs\n+PBdJq5ZhQ6gsJCFH71HyYiRHj3FW9hxA3/UTh8gyHBUzXBqvKyMdPQGA97l19LWpjJ2btpA5F/G\n3PS5fEwmLr7yhpWUUFpqJCgo2EHRCiHchbRIV4LFz/+S7TI/v2vuGxISSlbPPmRZzJwvKuTHtBRK\noqKvuX9WViZNT528sB0KaE6eIKB7D06WJ82FNgtFHTs7bDCUoigE7NlFYHmreR2NBsuObQ45txAA\nvvnn7Ul0uZi8PAoLC1SLpzoU1al74WsFKIqto14wAi9vH8wXZb83atS4nujhd7E5shYAJmBf777U\nqlXLAVEKoZ7iwkKOrFnFsW1bHfrG29NJi3QlxEx6mkXJJ+iUcoa9MbFE/vXJ6+7fatRYtgYFcvaV\nFxh/9iwp27aw6qnnGPDci1eeOyaW9U2b0e7wIQCytVo0zVsS36oNmZOeZufhQ3hF1qJ1Z8etbqTR\naLB4eYPZcuF7Fi9Z1VE4Tki//hz6dQEti4uwAfsSOzD8Og+UnqD1ux/y3cvPE3w2lfwmzej19vtq\nh1SjRdaqxf5uPfDbtoVgjZbdkRE0quQ4k1Z9+3Pk2xnMWbYEW1gYQ5942mFvB4VQQ2H+OVI//ZCO\nhUWYFBs79u2m3cTHb+pzfWDLJrKSjtN24GBq1a7txGhdi8zaUUnnzuVxcv8+6rVoRa0KDFhZ/teJ\n3P3j3AvbC+rWpeuOA3h5Xfksk7x3Nyc+eBffwgKM3Xsy6OXXnX6RTt6ykYB5c6lttZIUHETIo08Q\nLTODVCtPH+W/8+f5FKxeiSk4mB4v/50QmRlDqCDlxHFMBeeJb9naqYM/Pb0+C89yeMFPdNqw7kKu\nkWUyUfDya8TExVfo+BXvv03HLybTyGjkt8ZNqPvNdBq2auPMkKuVzNrhBOHhEYT36Vfh/b1s1ku2\nvc0WrFbrVRPpRu0SaTT7xyrHeDMadetJvr4FpzLSqdOgoUf3XRXquHgVPyHUEt+kqdohCOHybuYJ\ny2g0Evz9DJoZjQCMSDrB7P9+ScPJX95UmakpZygtKqJRMz06ne7GB7gI6SNdTaLG3sP68lcd2Tod\nWXcMd7mpsMIiImjYoqUk0UIIt2Cz2bDZbGqHIYTbq9d/ADuCAlEUhVKrlWNt2lK7blyFjrXZbHhZ\nL20s1Fgt19j76n5//WXMPToR0a87C+4bS1lZ2U0drybp2lGNkvfvJWnlcvzrxtFj9DjpUycuIa+C\nhai4pf/6B0EL5qNotJjG38Mtf3tJ7ZAuIfVZuJuSoiJO79qBV0AATTp2vqkc5bcXnmXYzGnUstlY\nHROL7suptOjRq0LHHtm7m6g7BpFQnjybgJ/f/Be3PPF0ZX4Np/Corh3JB/aRtG4NEU31dLh1sNrh\n3JRGbdrRqE07tcMQQgi3tn3xr/T7+v+IK7/xHpv8Kfs7d6VNrz4qRyaE+woICiLhJrqsXuyODz5h\nQ8dOGNPTaTzwVhq2bFXhYwuys2h5UQu0L6Bxo3nZ3SqR3rdiGb7PTWJ8ZianfH1Z8eSzDHzxVbXD\nEkIIUY0KTiZfSKIBmpaWsPOYASSRFkIVGo2GnmOuvcrz9bTp2YeFHTry4K6daIAl8fVoPHSEYwN0\nIrfqI5076zt6ZWYC0MBkwvenuTLXoRBC1DCN+g5gfe2YC9sr4uJpOWCgihEJISrL39+fXrN+ZNak\nZ/jhkb8SMX0WDVq0VDusCnOrFmk0l+b9isatngOEEA6w9YfvKZ05HY2i4DV6HD0ffFjtkEQ1a9Sq\nNQcmf8mc76ejaLTUfegR6jRoqHZYQohKCouI4NY3/ql2GJXiVol01P0TWLV7J/3Tz3LMPwDr2Htk\nwJ4QNcjxvbup8+ZrdMg/B8DBY0c52ExPqwoOahGeo3W/AdBvgNphCCFqOLdq0m3dtz9h8xcy++33\nSZ05h/7P/E3tkIQQ1ejk9m0klifRAK0KC8nYs0vFiK6vpKSE7dv3kpGRoXYoQgghnMCtWqQB6jXT\nU6+ZXu0wXIqiKCx95y0CN67DFBBI3HMvkdBTWuiE52nUtRs7IiLpnJcLwP6QEGI7dFQ5qqtLTk7l\n4Yf3cPBgL8LCknj5ZQMTJshgOCGE8CRul0iLK22Y9g23/d9nRJcvTPBT+lnqrdxAYGCgypEJ4Tg7\nly8l72Qy1qee4+SSRWgUBZ/R4+nRrafaoV3VZ5/t5eBB+yj2/Px4vvzyJ+6/3+qyK3ZZrVY+/3wF\nqaka2rXz4777nJP0b9x4iDVrUoiO1vLwwwNc9u8hhBAVIYm0B7AaDBeSaIBWSSc4vH8fMVFRxNRv\ngLe3t4rRCVF1S//5Bn3+O4X4sjKW1KtP+H+n0STRNVui/2A0+lyyXVISiMVicdnE8fnnf2HWrNFA\nAHPnplJQsIJJkxw7E8bSpbt4+ulAzp0bBRSxf/88vvhClo0XQrgvt+ojLa7Oq3kCWRfdnNfWjiF+\n5jRiP/+Yo/9+m6LCAhWjE6JqTCYT4fN+oF5ZGRrg9jOnOfW/b1SNyWKxkJR0hszM7GvuM2RIKCEh\ne8q3iunTJw1fX1+Hx6IoCiUlJVU+z5YtYUAAAGZzHOvXO35q0YUL8zh3rlP5VhBr19altLTU4eUI\nIUR1kRZpD9DzgYdYln6WgPVrKfD3p6l/AE387TfErufOsX3xb7Qce7fKUQpROYqioEG5/JvqBAOU\nlhr5/PNDpKYmoNUW06fPfkaObHPFfsOHdyEoaC/r1s0nOlrD44+PdHgsh9etIfX1V6iVnUlKQkt6\nfT2NiKioSp0rJOTShDYoqOwae1aej8+l5/T1LZE3ZkIItyYt0h5Ao9Fw26tv0HvpanpNn0WdWrUu\n+ZnOYlExOiGqxs/Pj+y7RnG2POFaHhdP/P0TVItn+fLjZGV1w9c3HG/vONatiyY3N/eq+w4Y0I5/\n/vM2Jk261SldOlL/+QZ3Hz3Mrbm5PLRxPdv+9Xqlz/X883E0bLgAb++9tGkzmxdfrPgSvxX11FNt\nSEj4AcgkJGQzEydq8fKS9hwhhPuSK5iHCQkJZVfTZhRs3gwo6GJiCO3SVe2whKiSIf98j62durA2\n5QzNB95GfNNm193fZDJRWlpCSEgoWq1j2wvMZu0l89crSgClpcUOLaMiFEUhMC/nwrYG8M/Lq/T5\nBg1qR8+eJeTkZBMTcys+Pj43PugmNW4cz+LF4ezceZAGDWJo0KC1w8sQQojqJIm0E1itVlZ/+iG6\nUydBn0C/SU9X28IxiqKAxUqMpQwvq5WdGi1t68RVS9lCOFPXoXdWaL/kLRvR/Pwj4UYjB+vG0XjS\nMwQGBTksjs6do9i+/ShWa3MUxUaDBgbq1OngsPNXlEajIbt1O6xpaeiALK0Wa6cuVTpnQEAA9erV\nd0yA1xAUFETfvp2dWoYQQlQXjeLkvobZ2YXqdWZUyW8vPsuY6d8SCORpNCya9AyDX3+rWspOPrCP\nRt98TVD5a3BFUdg56FYSbhtSLeWLyouKCnb5ZTpdvT5brVaSX3mB9lYrYP/8b+/QiZZ33+vQclJT\ns9mxIwsfH4VBg/Sq9fMtLi5m3Tv/wD87C9p1oO9fn5TVXl2E1GchPMf16rO0SDtB6I7t/DGDc4Si\nELB9S7WVfbWbaFWvlBaLhbS0VMLCwggNDbMP/pKbtXBBZWVlBJaZQGe/tGk0GrxMjp8VIi4uiri4\nyg3q+0NKSgYLF+4hMtKXMWP6VqoLSmBgILe/+2GV4hBCCFF5kkg7gTE09LLtsGoru36LVuxu2pSu\nSUl4abVsjQinae9+lT5ffl4eax8YT+ed29kRGkZGRCQNSksoiIun5fufUD+hhQOjF6Jq/P39Odqw\nMU1On0Kr0XBWseLdul21lW+1Wnn33SUcPOhDdHQJb73Vh4iI8Cv2MxhOc//9J0hOHg2cZ8OG+Xzx\nxWh5QBVCCDcjXTucwLB1C2defJaGZ05zokkTmn8+hQYtq29Qjc1m4/i2rdjMJhp26oqfv3+lz7Xk\npb9x77Rv0ABzgTEX/Wxmn37cNn9hVcMV5eRVsGOYzWaOLfoVXVEh/q3aUL99YrWV/c47i/n88zuA\nIEBh4MDpzJr1lyv2e/XV35k69c/a5Ou7m40bfahf37n9kysiMzOXDRsy0GhsDBzYgJCQYLVDckue\nXp+3bDnCokWnCQy08vTTfWUlXeHRpGuHExxct4bMlcuwhUfQZ9Izl4xw13ftRuPVG8nLy2NgZGS1\nr2Sm1WrRd+vukHP5Fhfzx6fn8nQ8IDPTIWUI4Uje3t60HOH4OZsr4uBBb+xJNICGo0fDr9oVSqNR\nLtu24OV15QPvsWNpbNmSj05nZfDgekRGOvftVm5uPpMn52A0JqIoCgcO7ODFF5sREHDjh/FTpzLY\nsiUXnc7GbbdJAu7JNm8+zMSJZWRnjwKs7N79P+bOHeWyq3YK4Uwyj3Ql7F2+lIBHHmTs11MY+e+3\n+XXiA1zesu/l5UV0dLTbX1jCbh3MvpAQAEoAY/n3rUC+dOsQ4hLR0SWA7cJ2TEzRVbtrPPJIIs2b\nzwWs6HQZjB59mLp1L51d59SpTKZOtbF/fyJ79nRi8uQzGI3GK87lSDt3pmI02heX0Wg0nD+fyL59\np254XGpqNlOmlLJzZyJbt3bgs8+SMJlMTo1VqGfRojNkZ/cq39KxaVMPkpNPqhqTEGqRFulKyFu0\nkIHn7PO1+gKtNq3n3Lk8IiIi1Q3MCRKHDmePTsvc1SspDQphdpmJ4JNJlMTFM+Af76gdnhAu5Z//\n7Me5c9+/lbXhAAAgAElEQVRx5Eg40dFFvPPO1R8269eP5eeffVm8+Beio4O47ba7rthn374crNY/\nu6Xk57fk+PGTtG7dxGnxBwbqsFpN6HT2pcxttiJCQm68rPnu3dlYre0BewKem9uaY8ecG6tQj7+/\nBXtzir2hKCgom5CQuqrGJIRaJJGuBLOfHwpc6PKQHxBA/fIluT1R+9uHwu1D1Q5DCJcXGhrKjBlX\n9om+mlq1Irj//kHX/HlYmPaSpBbyqFUrxAFRXlv37noOHNjBoUON0GisdO6cSosW7W94XGCggs1m\nRqv9Y9rNfMLDHTd3t3Atzz7bl127/sfWrX0IDMzkscdyqF27+sYiXMuKFbvZvTuLFi3CGTq0anOq\nC1FRkkhXQoe/vcT0fXvpt2cXZ0JDMT3+FP5VGNAnhBCX69VLz/HjO9m/Pxpv7zIGDSojNta53am0\nWi2PPdaRrKwcdDodtWpVLDnq1y+BY8e2cfhwfTQaI/36nScuTlYt9FRBQUH8+ONfOH48mYiIGGrX\nrr6Zca7l22/X8vbbzSgu7oOv7ymSkpbzzDPXflAVwlFk1o6rUBSFDXNmYcrKImHIUOKaNL1iH6PR\nSNKRQ0TGxBITW0eFKIWn8fRR/uLmKYpCSUkJXl5e+PreuIuFmhRFIT//HN7e3gQFyUBDqc/Va/jw\nFWzZ8mcXqTZtFrBy5S0qRiQ8iczacZMWPjuJkT98T4SisGTGNEzffkfjdpe2zPj5+dGyffUvCyyE\nqDk0Go3bTCum0WgID49QOwzhQBkZGZw6lU7r1s1c/nPo7W29bNusUiSippFZO4DMjHT2bt5EUVER\nubm56H/7hYjylvrBKac5OWO6ugEKj1RQUMDzzy/kvvuW88kny9QORwghLpgxYwN9+6YxbFgjbr99\nHQbD6Zs6/tSpNGbOXMb+/cecFOGlHnmkNrGxq4ASatVaz8SJVy6EJIQz1PgW6S0zphH8zlu0OJfH\nxoQWRH80GUV76ZR1ik6eN4TjPfHEMpYtewDQsmxZHu+9p3ZEQghh76YzZUoxeXm3A3DkyBg++2wO\nX35ZsQWDVq/ex3PPmTh7dgQhIft49dV1TJjQx5khM2hQe1q0SGfbtlUkJjamYcN4p5bnis7l5HDu\nbCrRjRpL96pqVKMTaUVRKJ0ymWHlU9mNOXKYWf/7Bsu4uzn9v2+oW1bGgqbNaP7IX1WOVHgaRVE4\neDCCP14KKYq8Ehc1g9FoZMmSbQQE+DBoUFfVl0XfNmc2Jd99i9Zmg5Gj6CPXe6xWK6Wll/bJN5m8\nK3z8t9+mc/bsKAAKChL57rtkJkxwaIhXFRcXS1xcrPMLqgCz2UxhYQHh4RHV8hlP3rKRwPlzaWK1\ncSLAn6KJjxPTqLHTyxUelkifP5fHlk8/xMdkInb4XSR073nd/W02G/7G0ku+52MyMuif77GrzwC2\npJ6h/e1DiYiKcmbYogbSaDRERRWTlvbHdy6eUFEIz1RcXMzYsb+xbds4NJoi7rxzLl99NUa1ZDrp\nwH5qvfkqXcsbU44eO8q+Jnra9h+gSjyuwsvLiz59cpkzpwAIISTkAEOGVHw6Q6v10n9Pi6VmXdv2\nLv6Vc/96k5icbNa3bkufb74jvFYtp5ZpWbqExhoteGlpU2Zm+5JFxDzxtFPLFHYek0ibTCbW3TuW\nCdu3ogHW//4bx76dSbPOXa95jE6nI7PvAApmzyQE2B8SQsAQ+3zJHQbIaF/hXP/4R1PeeGMWWVkh\nJCTkAA+qHZJH+WNGIrVbPKti3boDrF2bRkyMjocf7u/2K6VOnbqBbdsmADoUJYhffrmdceN20Ldv\nZ1XiSd65nbHlSTRA8+Jidu/fAzU8kQb49NMRJCSsID3dRq9etRk4sHuFjx09OoTdu3eTn5+Ir+9p\nRoyw3fggD6EoCjnv/YtxyUkA9Nq0gZnvvsXgT/7j1HK1Fssl215W6zX2FI7mMYn0sQP7GVieRAP0\nzsxkzuLfrptIAwz75D8sTWiB7exZonr1ofMtlZ93cteuk6xdW4KiQO/efnTuLK9VxLV1757AypUJ\nWCwWvLw8piq6hAULDrB1qzdarUK/fjBoUILaId20RYt28NxzoeTnjwKK2L9/Ll98MVrtsKrEfq//\nc8yJovhjNKo3u0LT7j3YEhVFj+xsAA6GhBCT2Em1eFyJTqfj8ccrdz+8665uxMYeYtu2H2nWLIzb\nb7/NwdG5rrKyMkLPnbuwrQH8zp93ermmxA4UblxHsNaLs4qC1w1yH+E4HnP3DouK4mxgIPWKiwEw\nA9bgG3e212q19Hv0iSqXn5qaxZw5vthszQGYOzeFqKh0GjZ0jf5a7kpRFLKzMrGZzdSuG+fWrYvX\nIkm0Y+3de4L165ug1YYBsGRJBo0bp9G4sXstYfzrr3nk5/fHvhRzMkuXwtmzmdSpU1vt0Crt7rs7\n8OuvczhyZCxgoVevH+nff6Rq8TTQJ7Dr3Q+ZO20qGpsV75Fj6NnbuYPiaopu3VrSrVtLtcOodr6+\nvqS2T8S6fCk64LSvL149rt/N1BFa3DWKpDpxmLMyCG6mp1FCzfvbq8Vj7uDx9Ruw8omnKf16ChEl\nxWzu3Y87Jj1TbeUfP56F1ZrIn3lePMeP75JEugoURWH/zOk03LEVL0XD3oQE2j7+JFpt9c2iYjQa\nsVjMBAYGeWQS74kyM00XkmgAjaY2aWl73C6R9vU1Y+87vxXojM0WzBdfZPHMMz5ERbnn1F4xMVHM\nm9eV2bPn4+sLEyaMwMfHR9WYOgy/C4bfdeMdhaigW/87ndnv/QufvFx8unSj132O6baXm5lBdtIJ\nohs3JaL2pQ/UGo2GJt0q3v1GOI7HrWyYk5NDSUkxcXHx1ZpwnTx5lv/8xweNxn6zVpRMHn20EL2+\n5k3B4ygnDx0k/r9TCPOyjxY322zsu/MumvfpVy3lL1p0iFWr/LHZfGnZMp2HH0506mdKVkJzjJSU\nLCZPLsNms3et8vY+wgsvRBAZGXaDI13LiRMp3HffOk6cGIKPjzdt25bRvHksPXvuZsQIaW1ydVKf\nhSOd2rGNgDmzaaAonNRqMd59H/XbJ974wErav24Nmbt3Et22PW37y5ix69Vnj5sguVatWtSrV79a\nk2iAhg3rMGJEHmFhuwkN3cPQoZken0Rv+OZL1nTvyPou7Vj69j8cfv6yokICL5rT21urRSktcXg5\nV5OWlsmKFdFotQl4eTXi8OGOrF17tFrKFlUTHx/N/fdbadJkN02b7uThh/3cLokGaNIknhkzutO3\nbw533OFH8+axKIqCRlO1gVvnz+eza9d+Cgqc329TCHdSWlpKRkY6NpvrDY40rVxOI0Cr0dBYUShd\nudxpZW2cNpWYB+9h/Hv/Iu6he1n33ylOK8sTeEzXDlfQq1czevW68X5lZWWsWXMMs1lD9+5xRESE\nXnW/9PRcZs1K4dw5P+rUKeGBB5oTGBjg4Kgr5/j+vTT499skFhYCkPblf9jaqjVd73Rcf8cGbduz\nc9kSuubno9Fo2OvnR51O1TOAIi+vEGh4YVun86VQGm/cRqtW9WnVSu0oqq5x44YMGbKH3bvN2Gxm\nIiJ2MXCgvtLnW716Py+8kEtKSjvq1dvFJ59E07u3B/yhhKiiBQu28fbbReTk1KVNmw18++0AoqMj\n1Q7rAq310uReZ3PerByWn+fRssh+b29eXMzBn+aDzK9+TR7XIu3qLBYLn366n2XL2rNmTSIff5xK\nbm7+Vff9/vsU0tO7YDS2JSmpK/PmVc9SqxWRcmA/rcuTaIC6ZjNF5dP9OIqvnx/eAwbyi07LwqBA\nwp98ltDI6rmwNWsWT0TEoQvbOt1x2rWT+cSPzp7Jkd8XuWSLjSdRFIWdO4+xZs0hhg1rzGOPZTB+\n/BFefLFFlR6mJ09OJSVlGFCPM2eG8/nnZxwXtBBuymaz8f77eaSk3ElpaSe2bZvAv/+9Se2wLqF0\n606mYr/upqOg6dbDeWVdtrqzVQbEX5f8darZ0aOnSUtrh7e3/RnGaExk69bdDBly5avnc+f8Lnyt\n0WjIy3PcoBybzcaiF58lfNMGTIGBRD7zPO3vGF7h41v26ceq+HrclmK/Ee8IjyCuRwWa429C0paN\nxP04l45aHWXnC9i++FciH3rEoWVci6+vL08+WZ+lS3ditWrp2jWM+vWjq6VsV9Zx107MNhvb0tNo\n99Cjaofjsb7/fi+7drVGqw1g1ar9PPVUFAkJVX+INBovXZ2upKTiq9XdSElJCX5+fk7pVmc2mzm6\ndw+BYWE0atrM4ecXNZvJZKKwMOSi72goLPS75v5qaDZgICmxsZw5dYqQxo1ponfelJ4hDz7MxuPH\n6JaTzfaISIIeeMhpZXkCSaSrmZ+fN2ACAgFQFBteXlfvMhAbW8LJkwoajQabzUx8vOPmW1375f8x\nasY0/rh0/PbGqxT07ktIyNW7mVyudlw8ef/5ih++noLOZiX4L2Po2KWbw+IDsOzZTUz5k7GPTkfI\nkUPYbLZq6/8eERHK+PGtq6Usd+Kt1RJy9Gh5f12XH0/ldgoKzrNjR228ve3XCKOxLatX72LcuKon\n0v36mdm/PwOLJQZv77P072+58UE3UFRUxKOPLmbPnnjCwvJ55ZVohg7tWOXz/qG4uJjl947hto3r\nyfXzY8mDDzP4rXcddn4h/P396dAhhaVLzYA3fn4n6N3btRJpgPgWraBF1bpiFRUWsPmrL9CUmWkx\n7m7qXmUZ8Q53juRUQgvmbd1Mo05d6dxCBjdfjyTS1axx43jat9/N7t16NBo/4uL20r9/26vuO2FC\nc+bO3cG5c97Ex5sZOdKBfRnPnOLi5++mqSlkpqdXOJEGSOje84bLsFeF1df3km2zr58kbi7C7Cf/\nFu7oxRcHExe3gcOHS2jZMpDx4wdX+ZzvvbeWFSseBHTk5MA77/zI4MGOW2Ro0xef89DG9eiAekYj\nTJtK8j0PSMu0A4wdu4THHqtL375t1A5FdV9/PZwPP/yR3FxvevQIZvTo3mqH5HBGo5EV40fx8LYt\naIGfF/2C5oefqNOg4RX7NtAn0MCJrd6eRBLpaqbRaHjggUR69UrBaDTTvHm7a95wAgMDmDDh6kl2\nVQV26MSp2TNpYDIBsDehJd3r1XdKWZVVZ9hdbE9Lo35mJjkBfvgMHyHJm8rSjUZyAgLwlXl3nSYk\nJJROnZLZtSuK3FwzJ06sJze3iAYNtHTr1qJK59ZoNNx9t2MThHPnfIA/+1Tm5kZRVFRIWJhj5rrW\nGku5uMdmLaOR4xetHCcqb/Xq0RgMy1i82L0X+nEEf39/3njjDrXDcKo9q1cyqjyJBrgr6QSz5/1A\nnRdfVTUud+f2ifThjRtInz4VgNr3PUir3n3VDagCNBoNTZrUUzWGLqPHsTYvlx1rVmMKDED/t5fw\n9/dXNabLhUVFEfjK6+TlZBMVGkZAgGvMWFKTGd/8F7EhIfj5ud5rT09yzz3tiIjYzAsvpJKTM5qk\npBD27VvJnDmn0etd64G3a1c/fvvtFCZTA0ChdevjhIa2d9j5G981iqW//MxtqSlYgd+792KoE+fP\nrWnS0nqxZcsqRo6s2Yn0tezde5yPPz5GcbEP/frBk08OVDukSgsMCyNfpyPcap/xwwzgYvd9d+TW\nC7KkHD9G7qjhDDybBsCamFiC5v1Cg+byOkK4H1nAQVzs66+X8Prro4A/PxZvvjmPJ56oencMR5s+\nfR2bNpkIDTXy6qu9iIhw7MqLyQf2kbzgR2x+/vR44mkCAwMden5ncIf6rNGgRERsYvHiUBo3dq0H\nNFdQWlrKoEFrMRhGA+Djk8oHH+xn/HjHDqyvLoqi8OvfnqLXnFkEWyws7NOPO2bOlYaRCrhefXbr\nFukjq1cyvjyJBuiXkc7s1SskkRZCuL3GjWvh63sGk8me4Hh7p9GggWsuLPPAA3144AHnnb9R67Y0\nau2cbm41WZs283n44RAaN5Y+0ldz5kwKBsOfn7uysjj27dvK+PEqBlUFGo2GYR9P5uj9EzhTVMTw\nzl3x9nbczD01lVsn0rWaNOWknx+NjEYATvv6EtG4qcpRCSFE1d1ySycee2wx8+btRVG0jBxZxJAh\nnt2HU1SvlStvUzsEl1a3biz16u3gzBn7IkgaTT4NGrj38hsajYaEto7reiXcvGsHwIoP3sFv7hw0\nio2SUWMY9MobzixOCKf4/fct3H//IJd/FVxdXTuKigrJzc2lTp26LtdiYjabWbBgAxaLjZEje+F7\n2ewyzihPURR8fBw3j7xwPnfo2uHqXbXKysp47bXfOXAgkOjoEt56qyMNG9at1hiWL9/DJ5+cpbjY\nl549i3jnnWHVNgWrcB3Xq89un0gDF1ZZkw+3cAaD4TQvv7yXtLQgGjc+z2ef9aF2bcetsPjmm78x\ndWofysrqyo0X+PHHbbz9dilZWfVp23Y3U6f2pG5d1xgIZTabuffe+axefQ+go2fPmcyefaf0MRRX\nkES66t544ze++mokYH9Y7dFjBgsWjFA3KFEjXa8+e0TmqdVqJYmuRoqicHTp7xz77CMOf/Ml53Nz\n1Q7JqV57bS+bNt3DqVN3smrVfbz++gaHndtoNPLTT2GYzdXbyuKqFEXh44/zOHt2KBZLG3btup/3\n39+mdlgX/PTTelavvhf7gkp+bNz4ADNnrlU5KiE8U3KyL38k0fbtEKxWK85uABTiZkj2KW7a8TWr\n0C9bTGJKCp2PHuXM11949IUtI+PiGQI0ZGY6esYAz/3b3Syz2UxhYdBF39FQXOw6rb0Wiw0umdVY\ni9Vas/790tOz2bbtCOfPF6gdivBw9eoZKZ+kDVDw8zvFK6+c4O9/P8yWLSfUDE2IC5yeSG/6dQEW\nS9WXoRWuQzmVTLD2z3Gq0ZmZlJSUqBiRc+n15wFb+ZaJhATH/a5+fn6MGlWAj0+Kw87pznx8fOja\nNR2wLxTk73+c/v1dZ57Tv/ylF926zQAsgJUOHaZzzz3uORVWZaxff4wPP7QyZ04r3nsvm+PH0258\nkBCV9OabtzJ27Gxat15A27aTadlyFFZrG4zGRObP9+b8+fNqhyiE82ft6Pfw/czuP5DhM+e43KAh\nUTmW8EgsNhte5d1p8oODifLgSd0///xWQkNnk5bmT9OmJt54w7Hz+L755h107boNiHfoed3VlCl3\n0rTpL2Rl6ejRI4S77nKdRNXPz485c4YzY8YCbDaFe++9naCgoBsf6GIsFgsbN+7G21tH9+6JFV4x\ndMUKMxpNfTQaMJtbsGzZLpo2lW5Jwjl8fX2ZPNm+iuqPPx5iy5aoCz8zm6PJysoiNDRUrfCEAKph\nsCEajWIEFn70Of3ve9C5ZYlqYbFYODR9KkFJJygLCCRs1FhiZe7uKpPBSaI6mM1m7rtvPqtWDUej\nKWPYsGV8/fXoCo0zee21oxiNf86rW7/+Hp56qmrLlnsqqc+OdejQGb79NgiNJhaAgIDdvPZaYxno\nW802z5pB2drVGIOD6fTy60RGR6sdUrVQfUEWb8BqMlVHUW6ruLiYAweO0aBBLDExMWqHc11eXl60\nffgxtcMQQlTCd9+tYdWqBwBfFAUWLryLoUM3MWzYjVv+O3Uys3ZtPjpdGJBKt27OnfpPiD+0bFmP\nMWNOsGtXBt7eFoYMqSNJdDXbPn8OLV55gabGUhTgf8cMDFm4BJ1Od8NjPZnTE2kbMD2xA/3H3e3s\notzWsWNnmDjxAEeO9CQ8/ASvvnqM++/vrXZYQggPVFJiAS6ekzqIggJjhY69887WxMcnkZGRTLNm\nYTRt2tgpMQrXs2TJbr76KhOTyYvBgxWefnpQtcfQpUsTunSp9mJFuaJNG2hqLAVAA7Tdv5esrExi\nY+uoG5jKnJ5I//D3t+j3wASCgoKdXZTb+uyzfRw5Yl9z9Ny5OKZMmc999ykV7rforhRF4diqFZCc\nhCUsjKZ3jpRFJ4RwsnHjuvDzzz9w+PA4QCEx8XtGjBhS4eM7dJDkuabJyMjkpZdMZGSMBuDQodPU\nq7eFESO6qRyZqE5lEZGYsfcyAEitFU370DA1Q3IJTk+kBz31rLOLcHsm06WvR0tL/bFYLB4/ONOw\nbAnNl/5OkE6HTVHYkptD28efVDssITxaVFQkc+d247vv5qPVKkyceCuBgY6e0rHmslgsrPvmS8a+\n8araoTjM3r1JZGR0urBtMtXn4MHtjHCjtVEOrF5B1v+molVshI67h8Q7hqsdktvp++KrTEs6TvzO\n7RSEhBLy/MsEBASoHZbqqqWPtLi+IUOCWbduPwUFbYBC+vbN9vgkGkB77ChB5X2rtBoNQSeTURTX\naomfNWsj06YVYbHoGD5c4dlnq/91phCOVrt2LV580bGzzwj7W7aFjz3Efb8uAA9KpNu3b0JMzE4y\nMuzXP1/fU7Rp4z4tkSknjsMzkxibkQ7A1t27OF6nLk0TO6ocmXvx8/NjxHc/UFpaiq+vryyEV04S\naRdw113dCA7ew4YN84mN1fLII270mF8F5qDgSxLnsuAQl0qijxxJ4q23IsjPtyccSUmnaNZsG0OG\nSCc9Z9s8awbGrZsxRdai70uv4e/B0ysKz5GTk0Pr1SvwtDa62rWj+eijNL78ch4mkzeDBysMHz7w\nqvtmZubwv/9tR6uFhx7qSq1aEdUc7ZWOrlvDuPIkGqBrbg6zN224aiKtKArrvvkS26FDWOs3oP/T\nzzlsMF3qmdPknk2jWdv2bn1Nc+fYnUESaRcxcGB7Bl79ulTtjm7ZTNqiXzAHBNDrmRec9tq3/l9G\nsyUnm/D0sxSFhBA2epxTyqmsPXuSyc+/48K2ydSAI0d2MKTi3UlFJWycNpV2r79Mw7IyzMC0k0mM\n+O4HtcPCarWyZs0ObDaFAQM61/iR6uJKfn6+FPr5Q1GR2qE43KBB7Rl0gxdyOTl5jBmzmcOH7WN+\nVqz4jp9/HkhISEg1RHhtdVu34VBQMK2KCgFI9vMjUn/1KVtXfPAugz79kCibjSJgXsZZhn7waZVj\nWDP5E+I+/5jmhYWsbJdI5xk/EBUTW+XzCvVJIi0ucXTLJpSJDzA2KxMrMHX3LobNXYCXl+M/KkEh\nobR58VVMJhNxPj4u1RoN0L17C2JjN5Ke3h+AkJADdO5cs0cnVwfLxnU0LCsD7INa6u7aSVlZmaoD\nUS0WCw88MI/ly+2LQwwaNI/p00c5pV4I9xUcHMK5CRPZ9Z/P6KB2MCqYP39beRJtv5bv338vP/30\nCw8+qG6XuBadu7LuhVc4MnsGWquVspGjuWXQbVfd12/zJqJs9pVsg4DQbVurXH5RURGB/51C90J7\nIn//3t18/+lH3Pb+x1U+t1Cf3AXEJdJ+W8jYrEwAdEDvTRs4eeI4TZ244Iqvr2vORdugQV0++iiL\nqVPnYbVqGTEigN69XWeVPU9VGhyCwh+3YigMC1N9zMC8eWtZvvwewP52Zvnye5kzZwn33OMir5GE\ny7jl+ZdJrqED2YKCvIBSuNC5pZCQkOp/AE5Pz2XHjgz8/BT692+Ol5cXfR6fBI9PuuGxpZe1nhsd\n0JpuNBoJLS29sK0BfEwVm3LSGUwmE0VFRYSGhkpjgAPIX1BcwuwfgBV7Eg2QriicuGcUaRMepe9f\na96MGq7U5aam6PTK63ybnETLA/tJi4oi4sXXVH9bUVpqBS5e/MGXkhKrWuEIF9eohq70Om5cP1au\n/J4lS25Do7EybNhKRowYXa0xpKZm83//V4DZnIjNZuHIka08+WSHCg+M07/8Gt+npZJw4hhJ8fWI\nf/G1KscUGRnJut796Lj4V/yALZG1iBqmzlioM3v3YPlhJrWKizBE1abO408SXkNWJ3SWSi8Rrtfr\nowwGQ/aN9nOnJUiF/RXU8nvH0HvzRnIUhXxgKLAnKJiSBYto1ra92iF6LDWXFHa1+myz2cjJySE0\nNNQl3lgUFhYycuRS9u59ANDQtu10fvppkOp9P2ui9ev3cvBgOj17NqFNm6aqxGA0GtnwxedoCwuo\nd8dwmnbsfMU+NbU+22w2ZsxYzubNRiIjwxk4MJr+/avvwWL+/ENs3Zp4YdtkyuTvfzcRE1P7in3n\nzNnEokXF+PiYmTSpKYmJzQAwm81kZ2cRGVnLYdcfs9nM2imT0Z7Lo86gwSR07+mQ894swz/+Tofy\nLiYA25s3p8XEx1WJxZ1UeYlwvV4/GLj8ce5W4KkqxCWcSFEUkvfswpSfT3xiB4LDwit0XFBQEMPm\nL2TWay8xfto3/NEjuGVRIb8cPiSJtAdwh/qs1WqJdqFWkuDgYObOHci0afMBDQ8+eIsk0Sr44ouV\nfPRRC4qLexEZuY3339/OsGFXJrHOZLPZWPzgPTy0ajnewNof53P0m+k079a9WuP4g6vV5+zsc/zy\ni3f5vNO+7Nq1h6ioZFq3buSU8n7/fRdffplFWZk3t91mpX79OpfMBqXVGq/aNWzlyj289lo8hYUt\nAThy5BeWLo0mNNTelaxOnboOjdPb25uBT//NoeesVBzG0ku2vYzqdTHxFBXt2tEOOHvRtgYIdXw4\nwlH2fz+Dtrt2EKjVsn/VCsxPPUtE7ZgKHevl5UW3UaNJ+fVn6uTmArCiXgNa9u1/YZ/s9LNsf+1F\ngs+e5XxTPbd88IlMieM+pD5fRWmpkZkzj5CZ6U9EhJF77mlMaOifK7KGh4fx3HO3qxihmDfPRnGx\nHoDc3C7MmjWfYcMcW8bJA/tI+vUXlOAQ+jz2xBWDXE+fPkmPdasvrO7WNyuDeb/+rFoijYvV582b\nD5Ke3hkvL3sLcFHRAH777RenJNJnz2bw0ktWMjPt3UcOHz7DBx/sISJiK1lZ9nUZevXKJDKy7RXH\nbtmSSWFh7wvbSUk92LlzHwMGePb0poXNEyjbuxcfnY5cqwVatVE7JLdX0UT6O4PBcHFFRa/XL3dC\nPMIBCgsLiN25lSAv+w2grdHI9pUriLj73gqfo1nHLuz5eDLz5s3BotNR79G/Eh3754wV2557igdX\n2bMC9aIAACAASURBVD8Clt07+d7HmyEfT3bsLyKcRerzVfzww1GOHu2CRqMhPx9mzNjKk0/KG5ia\nJGnPLgon3Mu4tFRMwP+2b+GuGXMu6V8bGBhMTmAgnD8PgA0wqdv9yKXqc3h4EFrtnz1GNBozYWHO\naWTZty+JzMw/E1+TqR5JSdt46aXWGAynCQkJoF69K5NogHr1fNFqc7HZIgGIiDhCs2ZxTonTlbS+\nbwL7on9Hk5eLT5OmNOuq2gOgx7hhIq3X6z8EfgHO6vX6nsA2g8FgvrziCs/T/vahcPvQq/4s9FTy\nha+9gKBTJ6spKlEVNaE+22w2FEW56Xmes7N9SEnJp7AQfHwUfH09f3VRdzNunBfvv3+E4uIEoqK2\ncu+9kQ49/8n5cxiXlgqAL9Br9UpOnzpJw0aNL+wTHR3NvomPs23Kf4gtKWZ5py70VemVvSvW5x49\n2tChw3qOHOkKaKlTZz8jRzqn1TMxsSmxsTtIT7dPr+fnl0ybNuF4e3vTqlXj6x573319MRgWsmJF\nMP7+Zh59NJj4eMd253BFWq2WhNvvuPGOosIq0iJ9CDhS/vU2YDQwy2kReYjczEy2/eM1ArIyKW3V\nhoGvv+XQaWbMZjMLFmzAZlMYMaLnJQMigoNDSO7Yleg/unb4+xNzi2OnniioVx+STgBgBQrj6zn0\n/MJp3Ko+m81mTCYTgYGB/8/efQZEdWYNHP/fKTB0kCqogIDYEHvvLRqNJfbE2JKYmE0xySabsnl3\n05NN2U2yidlUjRqNPUVj770gqFQpggICAkOZoUy57wcUxUqZYWbg/r7owC0H5c4989znOadWlTu+\n/HIny5aJ6PVyxo0r4a23JtS64sfly2lcuhSJTKbEaBRJS9sDdG7gTyAxpSefHE5ERAxnz65hwIAw\nIiI6mfT4eqVdjdKLRfYqXB1v7VM46uXXyJg+i+QrVxgT0cWSC2Kt7npWKpV8+GE/tm9PwWCQMWBA\nKL6+pv3Ac01Vx8UslixZQ2WlgrFjYcKE2t3rBEHgvfcm8e67osWrAklsW20yu0Dgp/Dw8J3AEcDy\n/T5twKFnn2TBnl0IgObAPjYolIx5458mOXZlZSWzZ69j797ZgIy1a5fz888P1ngz7zJ7DqmdO1Oh\nVtOqW/daLzasrZ4f/Ydlr72Mc3YmRWHtGfbOByY9vsRsbOZ6Tjl0AGHTBpwqKjjfti2dnnr2rk1Z\nTp9O4OOP26LRVD3K/e67HLp0Oci0abWr/d2qVQAtWpymrMwee/sKfH0Daixaaq4uXrzMtm3RBAd7\nMmJEL0uHw4ABkQwYcPvH9Q3V59kX+PHYER6IOslllYrU+Y8x5g7d59oEBUNQsFniqAOrvJ6dnByZ\nPDmiUc41alRXRo3qWu/9m/v1LWm42iTSF4AlwBBgPpBszoCaAlEUaZGUWD2q4QSo4s+Z7Phr1uxj\n7945QNW8swMH5rFy5W8sWHBf9TaCINC2m/l6a/m2CeT+Fb+Y7fgSs7mADVzP5eXlyDeuo7MIKJUE\nZ2Rw4o/f6PTg1DvuEx9/EY3m+iNLg8GX9HRNrc/p6SkQHt69+sbq4XG8+u+iKJKbm4uzszNOTk71\n+6Fs0Jkz53nssUwuXJiCvf1FHnvsD/7xj6b7WNjD05ORGzdz8shB3HxbMqaT1T+RuIANXM8SSVNW\nmwrlWsCYmJi4FviQqrZFkrsQBIGSG0rnGACtCUvpGAwiNT8DydHrpXLdklqxietZq9XgfkNZJpkg\nINeU3nWf4cO7EhR0fY2Vp+dRhg6t/YjhtGlhtGlzFJnsDB4ex3n44WtVB0qZPv0X+vQpoH//4yxd\nur+OP43t+u67ZC5ceACQUVERyJo1bpSVWeWvjMk4ODjQc/gowqw/iQYbuZ4lkqbsniPSiYmJa8PD\nwzsDVwBXrvf+lNxF+Psfsfz/XsUpJwd1h04M++c7Jjv29OmDWLduKceOzQcEevZcysMPjzPZ8SVN\nl61cz+7uHpxt1ZqA3FwEQSBLFHGIuPvjfD8/b776yo9vvlmDwSBn+nRPevas/VMZJydHFi/ufst0\njo8/3su+fQsAOVotfPrpZqZOLcXZ2bm+P57NEEXhptdy6tvES2J6tnI9S2xX3uVsolcsA4WS/o8/\n2ayeyNVWvTsb1pbU2dA8tFoty5fvRxRh9uyBzeKm3tRZshNabTXm9azVaEj7fRPysjJUkd0I6m6+\nqUp38/zz21i58vqUEpXqJMeOudDyhnKQ1qSsrIzk5Ex8fDwavMjr+PF4nnxSzaVLo1Eocpg3bzvv\nvTfJRJE2bdL1LLF1V3IuEzVtEg8lxGEEvuvTj/vX/opKpbJ0aI3ubtezlEibmEajZdWqJAoK7GnZ\nsoKZMzvdtquSRHIz6cZrnTZvPsmzz3pRUhIBGBk48AfWrZtWo7awtcjJyeeLL7IpLm6PTHaF8ePV\njBzZvkHHPH8+g23bYmnd2pUJE/pLi7NqSbqeJbZux38+ZtZ7b1Wv99IA25Z8x6Ap0y0ZlkU0uEV4\nQ8R9/AF2mlK0Ye3oPHO2Vd58TGnp0kRSUqqaOly+bARO8sgj5llhLpFITKekpIRvvjmAwSAwZ05P\n/Py8ARg3ridG4wl27VqHi4uOl14aa7XvY3/+mUVZWU+qPrs7sX27muHDjQ2KNyysDWFhUnlLicSc\nYnbvJPdMNC179qHzwNpVGjI7Ozv0UN3Fs1QQUDpJT79vZvZEund2NgAVx49zxs2dDuNM3M/Vyly+\nrKoesREEGdnZdy7XJWl6TpxI4Lvv0jAYBGbP9mfoUKn9qi3QarXMmPEnJ09WrTvYvHk1a9b0q54a\n8cADvXjg9r2JrIpeXzNhNhiUGI0NS6QlElsTHX2BqCgNdnYGxo8Pwt3dtc7HOHMmnaioUlQqA+PH\nh+DsbJq5waIosuXNN8hevwZnvR79gMH4d+tO5MfvM1Kj4ayrK4f+8Q4DHplnkvM1xKAFC/lu905m\n7N9LmSDwx6QpTBo9xtJhWR2zJ9LX2MvlyC5n12mf8rIyUq7OkXTo0pXAbt3NFJ3peHpWoNVW/V0U\nRVq0qDDbuc6eTWHjxvOoVEaefnoojrdpHCBpPBcvXmbRojwyMqoeex07doCff04mIiLUwpFJ7uWP\nP45y8uRDXCtkFB8/k19+Wcezz9rWTaNPH2fi4y8AQRgMZXTrVmTSRlC2xGAwsHNnPCUlApGR7oSF\nNf2udRKIi8vgp5+cEIRwRFEkLe04r7xStymWsbEZLFvmALS7eoyjvPxyZJ27pd7Ovm+/Rv7V5/yF\nqtWhFb9tYNmBPbTXVJXqjCguJmHdL2AFibRKpWLCz+s4uGsHdg4qJg8ZLk3tuo1Ge4ctNxoQW7Wu\n9faiKJLw5WcMyMqqWrUfc5p0sPpkevbsIFasOEZBgT1+fuXMmhVulvOcOZPMvHm5XLo0DdBz7NiP\nrF49xSLzsfd98xXijm3oHBwIfu5FQntYvmmDJezaFUNGxoPVr3NyBrF791opkbYBzs72CEIpouhw\n9SuVqFS2d8OIiAhk0aIszp2LokULOYMGdbN0SHdVVlbGpUuXaNnSD2dnF5MdVxRFvvkmiqSkPshk\nSo4eTWPBggw6dpSmqDR1Z8+WIAhhQFUp2pycEC5fzqN169ovDj5zpgS4fozMzCDy8wvw8fFucHzG\n80m4UZVEQ1UrekFTs9690YqeINnZ2dFvrFQV7G7MnkgfDwxEqdVSGdaOjqPH1nq/vLw8WmWkIyir\npkb4CzKyz8aAlSfSXl7uLF5c/y5LtbVhQ/LVJBpAwYEDozh7NoHu3Runm9Q1Jzaspfs7/6Tt1Zq/\n61KS8du2x6Q3RVvRrp0fDg7nKSur+vCkVGYRFNT8/h1s0Zgx/Zg0aQ2bNt2HKKoYOnQj8+bdufmL\nNQsN9Sc01DoritwoJuY8zz6bTEJCBK1bH+f99z0b1KHuRlqtloQEPxSKqoEFUQzm+PEoOnY0yeEl\nVszNTcRo1CGTVf3fK5UFuNexs6+joxGj0YBMJr96jCKcnHxMEp+iY0fUN30tL6A1x9SF9Cos4LCX\nN65zF5jkXJLGYfZEuuOzL9Rp+ys5lzn85GN4J8ahMxhx79UHd18/jKKIXpq6UE2lMlDV6kV+9XUB\n7u6NvwigOOpkdRIN0Pt8EsmJCUQ0w1Hp/v0jefbZbfz8cxwGg4xJkzRMnGgDE2slyGQyvv56BnPm\nRFFermfIkOnNdkpEY/n44yTi42cCkJHRgU8+WW2yRFqpVKJUlnOtKJUoiiiVBpMcW2LdRo3qQFra\nMZKSvFEqy5kwQcDFpXZzpC+nJFO4czshOh0xjunkl3ZDodAwcaJYo37ypcR4itPTaRHWDr/gtnWK\nb9C8x/glIZ7P1qwmpLKC7DaBDPvia0R7Fb+cOkFov/6Eh3eo0zEllmV1d4oTb77BgkP7EYAk4FDU\nSTqNGs2lNoG0b+ILFevi6aeHcPToDxw+PAaV6grz5yfStm3jt+6VB7UlXxDwvHrHim3pT9s6vrE0\nJS++eB+LFxsQRbFGIpadnc/WrVkYjTL69XORHjFbIUEQGDDAMrWqmyONxu6m1/a13nfDhiOsWVOM\nXG7k8ccDblnUa2dnx5gxBv74IxW93gMfnyTGjWu+70vNiVwuZ9GiXpSXl6NUKms9r7koP5/Kb5fQ\nS6cHwFuWhnZRCAFtQ7Czu/67umvpClxXryPMzQFa+5A2fRbBvfvWOj5BEJj54afw4adoNBp6OzpW\nzzsOiZAWp9siq0ukHQryq2sWtgOinZywf+dDIp1dmtUkd61Wi52d3R1HxZydnVmz5kGio+Px8HAm\nLKzxk2iAIY8u5Le0FNz37aHS0RGPp5+nRYuGNYGwdTe/cWs0Wr78Moeysp4AJCSk8Je/XCYoyM8S\n4UkkVmHIEJFjxzLR6QIANQMGlNRqvyNHYnnlFS/U6tEAxMbu4NdfswgMrDmdZeTI9vToUUhhYT6t\nW0v1/JubujYNyYw9R69KHVxLao0iJ9LTsGt/fXR4794z7HzzAL00oWTJSujUKQOD316oQyJ9I2vo\nEiiKImnnzmCsrCSwS1fpOqkHq0ukdd17kr9nF56iiB4ojuhS68cyTYFer+fppzewf38rVCoNixYp\nefzxobfd1s7Ojt69LVujWhAExr/7L4vGYO2SkjIpLe3ItfzaaAzh3LnTUiItadaee240Xl4HiI4+\nQnCwjCefnFir/Q4fvohaPa36dVbWUA4c+O2WRBrAw8MDD4+6zY+VNE9u/v5cFo20FKreqNVGA/Y+\nvjW2Wb48CwdNIArS8DWmUZaQT0kH08ydtgRRFIn+dgldY2OxEwRO+G2j4wsv1xiBl9yb1SXSI196\nlR129sjOxlDu68eov//T0iE1qiVLdrFhwyygaj74v/61j/Hjs2nZsqVlA5PUm6+vG5AHtALAaNTi\n4dHwMkoSia17+OFBPPxw3fYJD3fH3j6Dioqq6VFubjF06RJshugkzUlAaBiJY+7n8u6dyICyPoPo\n3K3mVC9BgH0MZgK/EYyBTLEcz6Ii0mNOExhp3RVybudCfByR587hcnUUun9uLif37KLjfbUvDCGx\nwkRaEARGLH7R0mFYTF6eyLUkGqCoKJiLFzOkRNqG+fv7cP/98ezYkY/RqKB79xL69zd/ZRdJ7ZSU\naNi0KQWNRkHHjnIGDzZPyUqJaYwf35e4uD/59deTKBQG5s1zoEuXIZYOS9IEhN93P+LV6mKCIJB1\nIY1zX/wbeaUO36nTmTu3FacPx3HhSnsyhHy6hhro4ePLyZRkqGciLYoi5/fuxnjpIkJLf9qNGNVo\n01hFvQ7FDecSAMFobJRzNyWCeG1Zs5nk5ZWY9QQxO7dx5egR7IPbMuChR2x+HvXevWdYuNABtbqq\nzF9ExEp+/32k1GylCTAYDBiNxjvOQfP2drH6X15zX8+NTRRF/vWvKHJy+iEIAkZjAVOmZDJwYDtL\nh2ZSRqOR3Nw87O3tpKkOjUS6nm1baWkJR8aP5qG4WAAO+PgiX7oSjdyJvNffoI+bCn9/b0qMelKn\nP0RIvwH1Ok/spvV03rsHJ7mcMqORmP4D6Dxtpil/lDvS6/Wc/fRf9M/ORiYInHB2os1Lr+LcjKbT\n1tbdrmerG5Gui8MrlxP6xiuMLC0hTy5nc2I8495639JhNcjQoV349NMTbN68AXv7ChYv7ikl0U2E\nXC43SWcsielotVqysnxQKKreI2WyFiQlXWDgQAsHZkI6nY4vvogmNTUMmUzD8OGXmDSpcevNSyS2\n5tzBA4y9mkQDDMrNYdX2rYx87f+48NarZP35B7k6HeVdu9Opb/96n8cuPg6nq/cFB5kM+4S4Bsde\nWwqFgs7Pv0TU/j2g19Om/0Apia4Hm06kK/7YRKfSqpXe3gYDrtu3go0n0gDjx/divGWKcEgkzYpK\npcLRsZjKyqrXomjExaVp1Rvevj2Rixf7YW9fdbPes0dB//5X8PHxsnBkkqbm5Mk0du3SXi3zKWPo\nUNudJuUdGESaoxMe2qqug6WA3Luqs2FQz17Q0zS9EnQ3VRfR2det2khDKZVKOowY3ajnbGqspw9l\nPejtatYdLSqvsFAkEonEFsnlcmbNcsHB4SQQS3DwUSZObG/psEyqokKo7tAGYDC4UFpaZsGIJE1R\nTk4+q1cryM3tzpUrXfntN18SEjIsHVa9hXToSNKzz/OHjw973NxYOWU6gxcsNPl5PCdP5ZSzE5cq\ny4lycMBzSlVFGk1JCbHLl5L4v69IObjf5OeVmI5Nj0gbhgxl/dbNDBVF4gFDsZq0+DiCO0h9YCUS\nSe106dKGiAgRg8HQJLsZ9ujhzbFjSej17RBFkYCAeNq0sWzZTEnTk5ycg9EYea0MM4LgS2pqJu1t\n+HPpiBdeRvvk0+h0lQQY4fPPtyMIsGDBAFxdTTMFwjcoGM833qK4uIhgF1eUSiWiKJLy1ef0y8lB\nEATyE+JIkcsI6deE5pw1ITZ915CXlDBMFIkDgoABpaWsOnJISqQlEkmdCILQJJNogMBAHxYtyuH4\n8SiUSiNjxnRqsj+rxHJCQ32RydIQxRAARDGH4GAXkxzbaDQiCIJFigk4OjpSXKxn+vQdxMTMBUS2\nbl3KunVjcXZ2Nsk5FApFjUZmpaUl+GVdQlBU1XP2lMlJS0iA2yTShTk5ZC7/EYeCArS+frRd8DhO\nLqb5d5fUjk2/m/p06UqOkxMDNVVzmE64exBsonlLEolE0lQEBfkSFOR77w0lknry9fVk1qw0du6M\nqp4j3aFDw+ZIi6LI6tXRREU5olAYGDlSxogR7cnPL+S11/aSne1CSEgJ7703BgcHBxP9JLdavfow\nMTFzuFogjqioOaxZs4kFC+4zy/kcHBzJcXSCSh0ARlHE4Hr75Dhz5TL6ZmcDIKZf4OjqFUQ8vsgs\ncUluz6YT6chhI9j/6v8Ru/4XREGGas58+naR6vNKJBKJRNLYevQIpkePe29XW0ePJnHsWARyuROV\nlfD77+l07JjHK6/s588/5wICR4/qkclW8cknk0x34puoVDKgEri2ELACBwfzpU8KhQLltFmc2rAW\n+zIt6uC2dJrw4O1jU6ur/y4IAqrCQrPFJbk9m06kAQYvXAQLpU9fkppycq7w668n8fJyZPLkQTZf\nX1wisVVnz54nOjqVgQM7ERzc6rbblJaWcGz9WpROTgyYPFUqE9nElJSUsnFjKmVlCjp3VjBgQO3q\ntOfl6ZHLnW74ii/Z2edJTXWnanQYQEFyshOiKPLf/+4kPl6kTRsdf/3rfSabwjRr1jC2bl3Gzp1T\nAZHRo9czbdr0eh9PFEWuXLmCq6sr9vb2t90msHsPxG7dMRgMBN3l5yjz90dMSkIQBC6npxGVlUn+\nul/oO3VGveOT1I3NJ9ISyc1SUy8xZ845kpKmIgj57N27js8+m2qWZPrao8dz5xywt9fzwAPOdOsW\nZPLzSCS26KefDvDOO96o1ZPx89vPJ5/kMWpUzQ5wxUVq9k6fzJzTpygDVm75nQe/+wmZzKaLSkmu\nqkpwk8jL64sgCCQkXEGhSKZPn9B77tuxowf79qUDgQA4OSXRrl0rAgLiSUysPgOtWpXy7rub+eKL\n+xDFFkAZublr+PTT24/i1pVSqeSnn6azY8cxBEFg1KgZZMWdQ3vkMAa5DJ+x4/HyD6jVsQrz89n3\n6CN0PBNNnKcXLq//g+6Tptx229qs3Qib+yjH1q4ia9sW3I8c4kmdjssH9rI9JZnRf3u9zj+rpO6k\ndypJk/PDD2dISpoGCIiiF5s2RXLp0kWznGvv3gSOH+9CeXkkRUU9+PlnPVqt1iznkkhszbJlWtTq\nXoCcy5eH8f33Obdsc+z7b5h/+hRKwBWY+MdvnN6/p7FDlZhJSUkx2dktqwcyZDIvEhJqV6o2NNSf\nOXPKCAs7TYcOJ3nySQ+cnZ344IPejBixnPbtNzJu3DLefXc4x4/bX02iARw4dcrNpD+HQqFg7NgB\njBnTn7wLaTgu+5EeiQn0jouj4MvP0V5dq3UvR99/m8cOH2RAaSlT0y9Q+MG7GBvQllvl4EDnOQuw\n15YxTqdDAbSqrMRh65Z6H1NSN9KItIWJosixYzEUFGgYPrwHKlXjFmNvim7tei/c5mumkZNjRCa7\n3nmyrMyP/Hy11I3Shuh0OpYs2c2VKzB8eEuGDu1i6ZCaDINBdtPr2zwVMhq58asKwGiof2IhsS4O\nDo44OGSj11e9NhoNuLjU/v83MjKYyJuqNQYFtWTVqutzoi9cyEIU04ESoGpRnru7+WqlF547S68b\nbirtS0tJTjlP21qs0VIVqWv8vrsXqSkvL2/wPUNnZ1fz9R2mjEhMTxqRtrCXX97Igw/6M29eX6ZM\n+Y3i4mJLh2TzHn20C2Fh6wERQShg4sRoWrduXf39S3HniP91A6knjjf4XKGhDhiN+dWvPTwy8PHx\nvMseNZ08Gc/XX//JyZPxDY5FUj9PPbWBd94Zx9dfT2XhQhWbN5+wdEhNxoQJRlSqNADc3KKZMuXW\ncmE95j7KT50jEIFyYP2o++g+dHjjBioxG6VSyfTpKlSqU0AsISFHeeAB0xSX1mg0PPvscp54Ig8P\njxl4eW3B0fF3OnT4mddeCzPJOW5H3qIF2htGkfMEcPGpXVUcu8FDSb06YKYH0rv3MMnAi9+iZ9jS\nqjWFwC5vH9ye/EuDj9kUxe7ZxY7RQznQK5JfFz1G5bW2tg0giOYaqrsqL6/EvCewYbGxiYwe7YBO\n1+nqV4y88MIaXnllnEXjagouX87j119P4eXlwIMPDq5+rJhy6ADe69fgL8goMhpIGDKMTneYn1Zb\nu3cnEBNjxM7OwAMP+NKmjU+t9lu16hD/+IcvanU33N1PU1jYzepXRDa167m0tIQePeIoLBxZ/bWp\nU9fz1VdSy1xT+fPP48THF9CnTysGDOh8223UBQWc+GUlMpUDg2fPRalUNnKUpuft7dLkrmeNRsvS\npYlkZ6to0aKCRx4JxNvbo1b7iqKIXq832f+tVqtl6tTfOHmyF9AFb+8kRoxoTbt2h1m0qJdZF6yK\nosiZFT/hGnMKg1yBcdQY2o2s/XvGkZ+XU3b4IBWengz5299N9gTzSm4u50+dILhLJH4Bt1/Y25zp\ndDr2D+3HzPNJAFQAa559gTF//+c9973b9SxN7bAgjaYcne7GpEuGTlf7hwSiKJKbm4tcLsfLy8v0\nAdowPz9vnnhizC1fNxw/ir9Q9W/sJpNjf/IENDCRHj68PcPrMYC2cqUGtbpq4dW1PyV1p1YXs2ZN\nGmq1HYGBlUyd2rnWN1E7O3scHUu5sWKUvX3t5m9Kamfs2N6MHXv3bdxbtGDUomcaJyBJvRw8GMtH\nH51BrR5GZKQ/ZWVKVqw4xvPP1y6RFgTBpB+QVq8+wMmTjwApgIy8vHakpl4gMtLF7FVfBEEg8pG5\n6Gc9jEwmq/PC2H4PPQIPPWLyuLx8fPAaKw3E3UlRURGts7OqX9sDdpez7rxDLUlTOyyoe/dODB26\nlar6lBAcvImZMzvdfaerjEYjTz+9lj59rtCnz0Vef/1XM0ZaP6IokhJ1kvj9e2u9EMPcDDe9wRrs\nLDfyZeaHQc3G998nk5jYm5ycrhw92o1Nm2Jrva+dnR2LFslxc9sHpBMZuZwXX+xtvmCtTFRUGt9+\nG8uyZWfIz1ffewdJs3TwYCwLF+o5cqQv8fGh7N6dgSiK5Oebdh7ul1/uZPr07SxY8AdxcWl33Vap\nvDZAqAU0gIhMlszAgaZdZHg7WWmpbHvqcQ4+PpcjPy83+/kkptGiRQuS2l/vfH1ZLkce2fBBLGlE\n2oIUCgXLlz/IN99soqxMYOrUzrRtW7vHMatW7WXt2imAOwBLl2YwfPgJRoywjs6OoigSs/R7usVE\n4yCTcWL3Dto8/xIubu4Wjct97DjOff8NoeXlZMrl2N13v8VimTlTRVJSNEVFXXFziwakZkJ1JYoi\nly9ffywqkynJzKzb29rChUOZOPEymZmZdOw4ptks+I2NzWDFCmcEoWq+alracV5/3alJTKuQmNaf\nf17kypVpwEnAQG5uS9TqIkJCyk12jpUrD/D++z2prKxaz3Lhwir+/NP/jnWWZ8wYyu+//8TevQ8B\niXTqtJP//OeBu95D4+MvEhVVjEplYPz48Dse+24qKiqIeXwec85EA5CwexcnXVzoOdE0pfYk5iOT\nyejx1Xcsf/8tVGo1+n79GfHYkw0+rpRIW5i9vT3PPHOP5563ceVKJVVJtBEoQafzITvbehZJ5eXm\nEHLqBE72VUlJ7+ISTuzcTscp9S9ibwotw8Ipff0fJKWm4BHQGl8LTol55JHBtGsXS1TUWnr0aH3v\nHSS3EAQBT89y8vKqXouiES8vXZ2P4+vrh6+vn4mjs26xsSUIwvUFWVeuhJCVlUtgYO3q4dq6S7Fn\nKd32J3KDAaFPX0IHD7N0SFbLyckAGKj6sB+NnV0mEREK5s3rabJznD5dVp1EA8THR5CVlUlwRi69\nZAAAIABJREFUcNvbbm9nZ8fKlVPZuHEXAJMnP3bXD4Hx8Rf57jsl0B1RNJKWdoQXXuhe62kZq1cf\nYuNGDZUVah49k1H99fZlWmIOHwIpkbYJLYOCaPm/H0x6TCmRtlHjx3dm6dLVZGaGAl64ux+mfXvz\nrVKuK9FgqFHiRxAELL3y5sSJWKKjMxg0qD3tTfA4xxT69OlEnz61m84jub05c1qzatVxiorsaNWq\nnKlTpX/P2nBzA4OhErm8qmyWUplPixa1m+9q64oKC2DZD/S8Wmbv8qYNXPT0onWnCAtHZp2ee24o\np0//wKFD/XByKuWppww8/7xpK6u0aQNQClRVdgkISMHb++7TrKoqgtQujqioYqA7AIIgIz09ELW6\nkBYtalZZOrjsB/Q7t1Hh6EiHF/5Gm/D27Nt3hr//3Z/i4qrSmOdlMMq4kFYYKQMMfk37Q3h69GnK\nEuPB04vwEaOkTsE3kRJpGxUS0oqxY8+zf78HgqCnY8ex7N4dR896DhBotVrKy8vw8GhhkovEp6U/\n0V0icY+Pw16QEeXoiP/QEQ0+bn19//0+3n8/kOLiafj4HOKjj04xdmwPi8UjMR1/f09efPHOJQeT\nkjKJjVXj4SFjyJD2NncTyM9X8/PPFygqssffv5zZszthd1PN2PoYNaoD6eknSEjwQKGoYOJEBS4u\nriaI2PrlpiTTqVIHV9dM+AkyLqamgpRI35aTkxOrV08jIyMdZ+c2eHub/r3zL38ZQVraOo4edcfZ\nuZwXXmiJs/Ot5RLry8HBiCgaEa4uNlcqS1CpaibAJzeuI+KNVwktr6pBvfJ8Ej5bdnH0aBbFxdOq\nt8s1zuID388YLc8np/8gxj/zvMnitDYpRw7iu/YX/AQZ5UYDp7IyiZwz39JhWRUpkbZhbm5+9Olz\n/VGYVlu/uY1LluxmyRI5Wq0rAwfu4JtvHmzwjVoQBLo+vojYo4cxaDS06d0HZ1fzLwK5kxUryiku\nrrpJ5uYO5Mcf196zkoCk/srLykheuwq7vDwq/QNoP23mPVvdmkN09AWWL3cEumM0lpOefpq5c7s3\nehwNsWxZGpmZfQEoKDCydu0pHn644U1jZDIZCxf2RKfTIZfLrb4ld/SWPyj4dgkyvQ7ZxAcZ3IC5\njZ5tgriokBNydcFvvtGAQ+vmN72qrKycdeuSKCxUEhCgY/LkzpSWllBaWoavr3eN6hdyufyO0yxM\nQS6X8+9/N6yC0t3cf387UlKOkJERiFJZyrhxlbeUnSs+eqQ6iQboee4sGWmphIW5YGeXSWVl1bQn\nd/czzFy3nJCQNhZ5X2tM+qhT+F398KGSyXGJPYsoijY3IGFOTfs34DZEUWTrW/+H05FDlLu4Evy3\n1wjraZur9Nu103H5shaZzBGDoYJ27eq+8CMn5zKffupBUdFgALZs6cN///srL7zQ8CxTEATC+w1o\n8HFMwWisedFLFTPM6/xPP9A3MRFBEDBcusRxg5GI2XMaPY7jxzVAOAAymYozZ1zR6/WNcvNLSEgn\nO7uEzp0Dal1r93auXHGo/rsgyMjNNe1iQFtYXJiVfgHF315gRs5lABLOnSU6KJiuI++rsZ0oipSW\nlqBU2t110WgLHx/SZjzMqR1bkRn0GHr1pX1X2/qAZQo//hhHcnJfBEEgNbWSmJjNFBVFYDC40qpV\nNM8+2xFHR4d7H8gGqFT2vPhidwoLC1GpfHBycrplG2NAABrg2ndSWrYkrGVLHuzQkcTELfzxhxKl\n0sBjjzkTHt48ppAZbu6YaGcvJdE3aXaJ9N4lXzD+q89pcTWTWp1zmcCd+03yqLSxTZoUgYtLAhcv\nGvH1hTFjIu+9001iYuIpKrrxcaY9BQVN7yKZNk3g44/Po9WG4eFxklmzLDc63hw4ZGVVv9nKZTJU\nmRctEodCYajxWi6vbJSR182bY9m5sw2CEMbWrYk8/ngZoaH+9TqWt3cZly5V/V0Ujfj6NrwTl61J\nOnqEB64m0QDtNRpOnz4FNyTSBoOBM1//l1aJCRQqlJTfN5Z29915QCC4V2/oZZuDKKaSmelYfZ2K\nosChQ+507RqKQgG5ud78+edJpkxp+NMPayGTyfD0vPM0sGF/eY6fk8/jdXA/Fc4uuC1+EXf3qg/B\nr756P6++2liRWg/f8RM5dekiQfn55KpU2I2fYOmQrE6zS6TFpMTqJBogPDWZ3NwcWrWyvcd6giAw\ncmSHeu//0Ufb+Oorb2A3sAAQ8PA4wahRTW/V/tNPj6JDhyji4k7Tr18QPXv2s3RITVq5hzuUliIi\nUqbVonawzKjWuHEBpKWdoqioHTJZHuPHm38KgyiK7N8vRyarqgij17dn166T9U6k580LYeXKY6jV\n9gQEVDBtWvMYCbtRSK/eHPf2YXBeLgApKgc8OtVM8M7v3Ea/5GQUyqpBkbQtf1DYqzceLe6cODV3\nbm4VlF99kKnXG1Aqr98bBUGgosK8jU3qQhRFPvtsB0ePCri5lfPqqz0ICqrfNXUncrmcSZ8vkaYu\n3MCzpT/Or/2D/MvZeHh64uzsYumQrE6zS6SFsHAKBQGPq8l0UtsQBnjXrqVzU5KTk8PXX/ug0QwG\nOgLraN8+k7//vRtDhjTNR5wjRnRnhOXWOzYrrR6ex6Efv0W7dxd2FZV4IxK7aX2D27HXla+vJ6+/\n7kRaWibe3q54eTXOh8Rbpw7V/6bs4eHK00837xrjrduGcOqdD/jlu/8h11VieGASw+8fX3OjkhIU\nN3xIcjcYyFGrpUT6Lh5+OIDly49RWKgiLKyM1q2N5OZWLcgThBR69rRs3f8bffvtHj78cAAGQ9UC\nwYsXl7J584NmSXilJLome3t7/AODLB2G1Wp2ifTQp57ht5zLOB87TLmLK0Evv1avouy2rqSkBK32\n2g3GG5jGwIFrGT26aSbRksbl7u1NVqcIhmdnI7+a3KTv3kn+gMF4ens3aiwqlYoOHYIb7XyCINC/\nv459+wqRyTyQy88zdKj1JCS2qsfkqTB56h2/796tB6nHjtDWKCKKIgm+vrRv3aYRI7Q9AQFevPKK\nV/UIrE6n488/oygrk9Gjh0e9n6KYQ0yMoTqJBkhMDCU/Px8vC/YCkEigGSbSgiBw/1vvWToMiwsO\nDmbgwLXs2xcOKPDx2c8DD0g3HYnpyMrLqpNoABejSJ6mFBo5kbaESZMiaNs2lZycVDp18sPfv+E3\ne41Gw5df7qOiQsbUqeGN+uHAFviFhJL16BOcPHEMg0JB8PgJNrGQ0hpcG4FVKpVMmGCdJQD9/CqA\nCqBq4Ktly0zc3a13mlN5eTnvvbeDzEx7OnY08vzzo62+Mo6kfgTRzOUL8vJKpPoIVkqtVvPBB5sB\nVyZPDqVPn/rPt5Y0nLe3i9U/T6zL9Zybno7uq88I1xsQRZHD3t50eunVJl8uyhwqKyuZMWMjhw7N\nB+S0abOZn35qTceOUjJtrZra9Xwnq1YdYvnyUgBmznRgzpzBDY7rdiorK3nuud84dcoDd3ctr74a\nxLBh1pn0AyxatI7162cDSkDNc89t5fXXx1k6LEk93e16lu5ozVRsbCpPPx1HQsJAWrVKZvjwCkuH\nZFX0ej379iVSUQF9+gTg6Sk9mq8rn8BAchY9w6kTx9ArlISPuV9Kouvp5MlzHDo0Fqha/JWRMY4N\nG9bWO5Hevfs0UVE5REZ6M2qU1JhIUj9RUQn84x8+qNVjAEhKOktY2Dn69ets8nPZ2dmxZMmdp/ZY\nm5gYD6qSaAB3oqJsrzKYpHaku1oz9dFHscTGPgRAenpnPv54NaNH29aCpsOHz7N9eyUGg4xevQxM\nmGCaN2+j0ch//xtNenofZDIFhw7FsHix2KBawM2Vb1AwvkHSqGlDubs7Y2dXWN0QAvSoVMYa21y8\neJnPPz9FRYWCSZP8GD789uUwv/9+L++8E4ZGMxhHx/O88sounnxSWoUrqbsTJ9JQq6dXvy4ujiAq\nao1ZEmlb4+mpITn5+msPj7I7byyxaVIi3UxpNDUXWJaW3rl5gTXKycln3TonBKHqDXvPHjUBASn0\n6BHS4GOnp2eSnNwBe/uqy6O8PJJDh6KYNElKpCWW0bFjO+bO/ZVly0QqKz0YMGALTz01sfr7Wq2W\nefOOcfbsbAB27DjCDz/E06/frdO1Nm6sRKNpf3W/MDZuPMOT9W8SKGnGevdui7v7KdTqqqcabm4x\n9Ohhe6Vkaysvr5CVK9MpLFTRsmUZc+d2wMHh+r1Tp9Ox8603cIyLZaTKi5KOOnJyWhIWls0bb/S3\nYOQSc5IS6XoqLy9HEASbrfgxeLDA4cOX0OlaASX066e2dEh1kpGRhyh25FqVIpnMnaysVHqY4Cm1\nUqkArje9EEURmcx45x0kkkbw7rsTeeSR8xQVpdG9+9QaC+lOnozl7NmR1a/z8/uxc+e62ybScnnN\nJjU3N62RSGqrW7dw3n77MCtWrEUUBWbOdKRv30F33Sc6+gLR0RpUKgMPPBCKk5PjXbe3JsuXp5OZ\n2QeApCSR1auPM3/+9Se5O9/5J9P+9xUOwBQgaEQJo/9cjoOD5ZJovV5P4q8bUBTkQ1Bb2o0cLZX3\nMzEpka4jURRZsyaGo0ddAejfv4Rp0+reUdDSnnlmFB4e+zl9+iiBgfCXv0yydEh10q6dP/b2yeh0\nVYmCKGbRrp1puhUGBPjRu3c0p07ZIwiOeHufYuTIjiY5tkTSEO3bh932623a+ODsnE5p6bXyYFpa\ntLj9MR591JOUlAPk5vbFy+s4Cxa4YzAY+PPPePLzBUJDlQwY0M48P4CkyZkxoz8zZtRu2zNn0vnp\nJycEIRxRFLlw4Qgvv9zNZqpZ5OdfH30WBIGCgprznh3i47jWekoAPJOTcLBQM6prYpd+R5/YWBQy\nGZrYWOIqK+gwTupOaEpSIl1H0dHJHDnSAbm8KpE+dEhNeHgKXbo0fEpBY5s9ezCzZ1s6ivpxc3Nl\n/vxitm8/hV4vo18/O8LDQ01ybEEQeOSRrvTpk4FGU0HnzhE22UJe0nwEBQWyePEOvv12M+XlzgwZ\nksQTT9x+YdaECb3p1CmDI0d+o3fvdrRr14Uffoji7NmeyGRKTp9WU1YWJ314lJjc2bOlCELVhzRB\nELh0KZDCwsK7tu22Jr6+ZVy4UFVz22g00LKlrsb3tf7+GIFrHwtK/C3fJdg5LbW6UZGTXI48MQGk\nRNqkpES6jgoKKpDJrrfIlMncuHIlxYIRNV/h4a0ID29llmMLgkB4eKBZji2RmMOzz47isce0VFSU\n4+Fx98ZKISFtCAm5Xjc+KckRmUxJenohOTkC58/nIggyRoxob+6wJTZMr9cjl8trPVXA0dGIKFZ1\nTgRQqYpxcPC7x17WY/78dqxefZyCAnsCAiqZPr1mHetBb73HUrUa98R4Sv1a0vHdD+95TFEUOfzb\nRsry8+kxYTIeJm4wU+nkDOXXq3LpnZ3rfaxr5ZKlqSE1SYl0HUVGBrBzZxyVlVUXkEoVS2SkeZI5\niUQiqQtHR0ccHes+59TRUUdaWglZWS4Igj2i6MPmzd6EhGQRFGQ93e0k1kGn0/HttzGkpLjh4FDB\n1KkudO1674GH8ePbk5FxlNRUP5RKDRMmUK/fV0txcXHi8cfvXN3KxdWNB5aurPXxRFFk4zNPMmXt\nalqIIr8s/Z6IlWvwNWFHTo9pMzixYhluxcXk+/jSZkot5+HcJP6PX7E7sB+AykGD6TB+4j32aD6k\nhiz1kJ6ew549eQiCyPDhvrRu7WPpkCRNQHNp4CCxPmfPZvDBBxdJSQnHwSGbDh1CUKncmTTpNIMH\nW2/3OGvWlK/n9evPcPBgd2SyqrrmdnanefvtdrWqEy+KIhpNKXZ29s1+ylxaagr2g3oTqbs+RWTl\noqcZ/aZpuy+Lokh5eTkqlapeo8npsWfx++5/eF79/75iNJC7cBFtOjSf9wapIYuJBQb6Mm+er6XD\nkEgkEpOIiGjDm28KfP55HgpFdwRBhkKRSMeO0mi05FbFxfLqJBpAq3WjrEyLi4vrPfcVBAFnZ5d7\nbtcciEYjspsGM83x6UsQhAYtetRczq5OogE8BRmp2VnQjBLpu7GNpbISiUQiMavQ0NY8+qiKkJBo\nQkJO8eijSry8pNrpklu1a6fEYMgHqkY7/fxypOS4HoJDQjk8YRJFgAisbRdOp/mPWzqsW/h2iiBJ\ncT2RTlIq8Otkve3ZG5s0tUMiMbP09GyWL49GLhd54ol+tGhx++SkKT8Klkiam6Z+Pe/fn0hsrAEn\nJz2TJ7fFxaX+i9iaKlEUObj0O3SnTqJr6c+wl169ZTqL0WjkwJpV6AoLiZw8BW+/lhaK9u6yEhMo\n3rMLERG3YSPxD29eC5Hvdj1LibREYkZZWblMnx5FUtI0QKRr16Vs2DAG59usnG7qN16JpDmRrmfJ\nni8/Z+B7b+Kv01EJLJs0hUnf/Fj9/dLSEs4e2I93m0BCO0lt1a3Z3a5naWpHM7NvXyJvvx3H22/H\nsX9/oqXDafLWrDlFUtK1er4C0dEP8ccfxywak0QikUjMTzh8AP+rCwntAK9TJ6pLyF3OSOfwA/cx\naO4sHO4fyY5/mXaBoaTxSIl0M3L+/CV+/dUbtbobanU3Nm3yIiUl09JhNWnOznLgeg1PmawQd3fb\nKfckkUgkkvopd63ZbbfM3b26asaZL/7Dw7Hn8AC6lmlpsfR7SktLLBClpKGkRLoZSU9XIwjX518J\ngj/p6YUWjKjpmzt3GKNHLwMuIJcnMnXqZu67r6+lw5LYOLW6mB9+OMPnn8exbVss5p6iJ5E0Bbt3\nn+G++36nf/9dLF68Dr1eb9bzdX31DX7s2ZvDTs6sCQnF929/r/6eXFdZY1uninIqKipvPoTEBkjl\n75qRsDAvtm69iCi2BkAQLhAa6m3hqJo2pVLJsmUzOHXqHPb2Srp0mSZ1hboNg8HA8e1bEY1Get83\ntlb1aJsrURRZsiSZvLy+CIJAWloJCkWi1IVQIrmL8vJyXnvtMqmpDwGQnKyldevNvPjiGLOd069N\nIPf/sZ0rV64Q5OGBUqms/l7LaTPZt3MHQ3IvowFiR47mwRYtzBaLxHyku1UzEhjox8yZqezdG4Uo\nigwb5kibNm0tHVYNyclZxMcX4utrR69eoU0i6ZTL5fTuHWnpMKyWXq9n07yHmL59KwLwy4jRTPxp\nVY2bjuS68vJycnI8kcurrg2ZzIW0NIOFo5JIrFt+/hWysoJv+IojFy+a/6G8TCbDx+fWpm0dBwwi\nZfkqVm3dgtzTi0mPLmwS97vmSEqkbUhpaSlbthynRQsnRozoXa+LrmfPtvTsaYbgTCAqKo2VK52A\n7hiNJWRknGHqVCkBbeoOrFnF3O1buTZzfP6u7fz683KGz11g0bislUqlwsWlGK226rXRaMDDQ0qk\nJdahoqKCtWv3AyLTpg3B3t7e0iEB4OvrR3j4ZmJiugOgUGQTGWnZ2EK69SCkWw+LxiBpuCadSBfk\n5XHouUW4nz9PSatWdP7gE9rYaO3DgoJCZs7cRXT0TGSyAmbOXM+//z2lSX2CPXq0DKj6/5HJXDhx\nwp4pU8Qm9TNKbmUoL+fGyqp2V78muT1BEHj4YQ/WrDmJRqOkbVsNEyZ0sXRYEgkVFRXMmrWBgwfn\nAiIbNvzEqlUPWkUyrVAo+O9/u/Lhhz9TXGzPgAEi8+aNtnRYkiagSdeR3vLEo8zZuLa65eZPg4cy\ndt1vlgqnQd57bwv/+c90rjUQVSji2LlTS8eO4WY/99q1R1i2rAijUWDaNBXz5w8xy3m+/vos589f\nHy63tz/Nu+92aDaJdHOtO1taWsLuqROYH3UKgKWR3Ri6/jdcblrxLrmVKEofNK1Vc7yely3bwUsv\njYfqj8aVfPTR78ydKyWsEtt2t+u5SY9IO+Vk1+hb73w522KxNJTBIIMbfhq9XkV5udrs5z13Lpn/\n+z838vOr3ggTEuIJCYlh8GDTT7m47z5vMjLOodW2QxCyGT1aLiUJzYCzswvD1mxi1Q/fISAyeO6C\nBifRoihSXFyEo6NTk55rLV0f9aPX60nctB5FXh6GgFa0Hz8BmUwqYtVQRqMINe66AkajpaKpu9TU\nbKKiCnB2Fhk5sr206FlSK036t6SkfQcqDh/EHjAC6na2Oa0DYPbsCLZs2UBKyoNAOaNH7yAycobZ\nz3v8eDL5+VOrX5eWdiA6el29E2m1Wo1aXUpAgO8tCU5wsB+vvOJEUlICAQEtaNnS/KPtEuvg4urG\n6MUvmuRYpcVFpH75OQHZWWQ4OKKYPovAHla6MEBiEXE//Uifs2eQy2RUJCYQraug0xTzv582dTNn\nDmLjxqUcPTofgL59lzJz5kQLR1U7589n8r//GRHF7hiNepKSjvDMM72s6sPqqd82UXT4IEY/P4Y+\nvVhK9K1Ek/5fGP3W+6xWKHBMSkTjH8Cwt9+3dEj1FhwcwC+/yNiwYS2OjgLz509DLpeb/bx9+oTi\n6Xmc/Pw+ALi4xNG1a8t77HV7e/cmsmmTA3q9F97ecTz9dCCenu41tnF1daFnT8sm0Dk5V3j//cNo\nNCqGDnXg4YcHWTQeSd2kb9pAv7w8BKUdgXo9J9evQezew6puiM1VZmoKcd/9DxAJn/uoxdasOF5I\nQ351BNpeLscuJcUicTQ1Dg4O/PLLRFas2AjA7NkTcXBwsHBUtXP8uBpRrFqIKJMpSE4OpKhIjbu7\nh4Ujq3Lk5+WEvfYyHbQayoAViQlMWvKdpcOS0MQTaTs7O+5/50NLh2Eybdq0ZPHi+iWx9dWpUyhv\nv32UZcvWYjBUzZEePLjuc6QNBgNbtojI5WHI5VBc3JvNm08wZ477vXduRAaDgUcf3cPx4/MBgW3b\nzmNnd4Rp0/pZOjRJLSm02hpJs6qiHIPBcM/Rm5xLFznx1+dwy0hHHRhM308/x7ulv7nDbTbyc3NJ\nnDOTh5ISAdiwZxf2azbh27pNo8dS6eICGk31a500H99kHBwcePxx89VmNheFwlBjzYFcrkWpdLZw\nVNdV7NhGB23V76wD4HvoAHq9XhqVtgLSpDDJPY0a1YlnnmnFa6+1Ye7c+o3O6vV6dLqaK7d1OvOP\nqNfV5cvZnDkTybV5fuXlYRw6VGzZoKyIwWD9ZdYUEV24YqyK02A0om4bUqubzanXXmL+7p08mHye\n+bu2c/z1l80darNy+vdNTLuaRANMTknmzO+bLBKL94yHOObhwTlEjvr4EDBtpkXikFiP++8PwdPz\nKBUVhRgMFxg9ugwnJydLh1WtwtGxxmuts3OjPJWW3JtNfpRRX7lC9pFDYKckZNhI7Ozs7r2TpF7y\n89X8+9+X0Gq7YzTqiIk5xsKF3cjKysXV1REPj9o99rK3t6dDhwLi43XIZErgIj16WM+b1DXu7h54\neSVx6dK12p46vLzM20bWlhzpGUH5w3MY+ddXLB3KHYUMGESaUsmF+DgMrm50Gj+hVvu5ZGVV/124\n6bXk3k5v+QP1ul/QK+QEP/k0od1rzkt38vXlikyGz9XVZ2pBQOV1a6OKxuDdJhDvv/9TGtGTVHNx\nceJvf+vCxYvZuLo64unZ0dIh1RDx0qv8lJhAn7MxpPr44vLci9J0NSthc+Xv1Hl5XPnPx3QtL8co\nihzy8yPihZelN0Mz2bjxHAcPXi8Yr9Fk4OqagFbbE7lczf33F3PffR1qdSyj0cjOnfEUF0Pnzm60\nb9/KXGE3yPr1x/joowJKSlzp1esSX389EZVKZfbz2kK5LARBTFQ5kLl6PRH9B1o6GpP6/cnHmLdh\nDTLAACybMYsHvvifpcOyCYnHj6KYO4u++fkA/Brclna/bcPL17d6G1EU+f2vi+m07hcUopGoiQ8y\n6fMlTTYZsIXr2ZLlaW+k0+lITk6lRQt3fG/4nZHUVFFRQcaFNLx9fa1m7nZz0aTK32UfOUSvq80a\nZIJA10uXSD+fRFAH6/r02FQIglhj3tjFi2m0ajUAZ2cnoAXbtsUzeHBZrRaUyGQyRo/uZOaIG27K\nlD5MnmyksrISlWqApcOxOqHlZUSdT2xyifSwj//NTyp7nNMvUBLUlhHvNp31FeaWsXc3D11NogFG\np6Wyef8ehtwwZUIQBCZ88hlZL76MKIpM8g9oskm0pPYKCgqZM2cHJ04MwtX1EosXn+Mvfxlh6bBq\nTZ2XR1Z0FHYeHoT0MG+VD3t7e8JstKlcU2ZzibSoVGAURWRXf1nLMaJshNHC5mrEiLbExBxHre6J\nKJbRunVBjXljer0DlZUVNrMyu7ZkMlmjjELboj8Dg4kYeZ+lwzA5Z2cXxv3nS0uHYZMcAwPJlcvx\nuTqHPt7ZmYD2tx/c8PcPaMzQJPWwadNhEhOL6d27JcOGmb5nwI0++eQQx48vAASKitrx1VdbeeSR\nIlxtYAFoTno65Us+p7dOT6nBQExiApEPz7F0WJJGZnOJdMjwURw+E0PXzEzKEUnq2YcuQcGWDqvJ\ncnFx4uWX23P69FmcnRXY2UXw3XcpiGIIRqOesLCLuLr2skhsn322g40bQS43Mm+eI488IpWpM7dV\nU6YT+NgT+AZY57QciWX0n/4QW86ewX3zb+iUdjDvMYZGSG3LbdGHH27hiy/6U1nZGheXc7z11gGz\nlgAtL1dyYxOXkhJPNBqNTSTShft201NXtYbGWS7H68RxtJOn4njTwkBrVFZWxr6PP8CuIB+3IcPo\nMWmKpUOyWTY3RxqqKkBcTErEzsEB/6Bg6fFgI0tOziI6uhAnJ5FRoyzT/Wnr1hMsXBhMeXnVhyg3\nt+Ns3Kigc+ewRo/FVKQ5lRJbZzAYkMlk0nsytns9Dx68k4SEydWvhwxZz9q15mvxvXt3DE89paSg\noA+gY+TIH1mxYoZNdJpMWL6UntGnr782GvB6/2ObeJq5fvZ0Htu+FQUQ7+REyr/+TR+pes0dNak5\n0gAKhYLgjtY/17apCg31JzTUsvV14+LyKS8fXv26qKg7p09vsulEWiKxdVI5LtunVBops/VlAAAN\nuklEQVRuem3eHt/Dh0fyzTfn2LZtLS4uBhYvnmwTSTSA14hRxCTE0aWsHLXRgHrAIFrZQBJdUlJM\n6Ilj1QlgB42Gs7t3gpRI14tNJtISSe/erXB1jaG4uGr+np/fQQYMkBacShpXakIcl86dpf2AQfhI\nzVskTcCjjzrz5puHKSzsRkDAfhYuNP/v9eDBnRk8uLPZz2NqXv4B2L/0KifPROPg6UXnThGWDqlW\nHBwcKXR1g8JCAESgwtnFskHZMJuc2iGxbtd+p8z9eHfVqoOsX69BJhN57DEfRo/ubtbzmZutPgpu\n6nQ6HYlrV2Ofm0O5lw/h02diZ2fH4aXf4/fuP+lSVMTe1oE4fbGEDk2skomk/mz5ej5//gIxMWn0\n69eBgAC/eh9fp9NRWFiIl5eXzYwyNxfHV/+M4YO3CSjIJ6prd4b8sAIPLy9Lh2W17nY9S4m0xKSW\nLNnNsmU6DAY5EyaU88Yb4y0dks2w5RtvU3Z26ff0ORODTBAwiiLHIiKImP84ewb3YXpCfPV2q8eO\nZ8Syn0167vSEeM6vWIZeLqfnU8/g5Vv/pOZurlwpYPHiPZw/705AQCnvv9+N8PDGb93dlDT363n/\n/nO89loGly4F0r79ef773x6EhrY21+lsVm5WJjG//Izg6Mjg+Y83aoO50tJSiorU+Pm1lKZl3UOT\nmyMtsU6nTyfw8cdBlJRUTbf4+utMIiIOMWmSVItZYrtUly5Vl9uUCQKqzEsAKHS6GtvJ9bpb9m2I\nzNQUsubMYtaFVETgp4P7GbxpM84uriY9D8Df/76P7dvnAgJpafD66ytYt05KpCX198EHF0hKmgVA\nVFRf3n//Z77/Xkqkb3Q5I534h6bxUFICFcAPe3YxacWaRlvA7+zsjLOzc6OcqymTnrVITCY2NoOS\nkuuLQHW6AFJTSywYkUTScBXu7jVfu1V1FCu9/wGylEoAot3dcXxwmknPG7dpPRMupAJVxcGmn40h\natufJj3HNTk5ztxYgiw72+nOG1uhuJMn2L/uF4oKCywdiuQqtbpmb4HiYnsLRWK9zq5cxvSkBADs\ngQm7d3Lu2GHLBiWpMymRlpjM0KFdaN16R/VrT8/jDB4cZLmAJBITaPPQIxxt3YoYpYKjAQG0fugR\nAMa+8SYnPvuKn//6CurvV9B7ynSTnlfu5o72htc5CgUu3j4mPcc14eFaoOLqKyPt2hWZ5TzmsOPD\nd/B+cDxjn3qcqIljuZR83tIhSYAePQqBMgBkslz69jVv9Q9bJMoV3PivUiaTobBvWs3NmgNpjrTE\npI4ciePbby+g18uZMaMF48ZZplmLLWrucyolNen1ejYtnMegrVsoVyg4M2s24z/4xCyLeCsrK3nz\nza0kJanw99fy9tvDcXU1/RQSU9NoNMT16sL9V/Kqv7Zy9lxGf/qFBaOq0tyvZ51Oxyef7ODSJSVd\nush5/PFhUn3xm5QUF7FnxoPMOnWCIpmM36fOYNIXX0v/TlZIWmwokdiA5n7jldxKFEXSks+jtLen\ndZvABh9r75IvEFOSkXfoyOBHn7D5G3ZRkZqMnl0YXqSu/trqmQ8z4vMlFoyqinQ9S2pDq9Vycsvv\nqNzc6TVytM1fk02VtNjw/9u7/9iqyjuO4+9z+4NWWi5YW1papNjBBVoqoZY1TAtuFjpABLeJ1Ol0\nJMyo081t0cmmS4wmQqbBZM4FwgD5IQGMYBoYSJiBIjCQ2E3okWIZLdAf0K7U2tve23v2R9HAZNJe\n7Tmcez+v/865p/d80vTbfO9znvs8IiIuZBgGN40a/Y2817bnFjH7L39iiGXR6PGws6mJab/9/Tfy\n3k7xegdzvHQGEzesYzCwOz2djHllTscSuSp/RwcndmwnJtDF2KLJpGbpi5hupUZaRCQKJO/bw5CL\nTyDTQiESKvY4nOibMWfpa7xb+G26GurJmf59bsqf4HQkka8UDAYxl/6RyY2NGIbBR/84SNPPf6Fm\n2qXUSIujAoEAzc3NeL1eElywtaqIW/n/Z+eyzghZ9srj8TDlgYecjiHSa2dqPiH3dB1GfM9KJrnB\nIIcOHVQj7VJqpMUxdXVNLFvWwLlzWSQnn6KsbAD5+V9vHmhfdXV1sWnTMc6diyMjI8jcueNsW8NT\nxE6Zv3qajY2/ZMzJGo7mjCL71087HUkkKiUkJdFuGHy+sGbIsgjFa3lAt1LHII7ZsqWeTz+9hYQE\nCASGsnXrYfLz7c2wevVHHD06CcPwUFMTJBA4TFmZHg1L5Bl3WzEjd+2loaGeyekZegIk4pC0jGF8\nNGUq1t93k2DBsexs8kqmOx1LwqRG2uW6u7tZvXo3LS1BZs/OddUWrH5/zFce26GuLgHD6FlO3eOJ\npbZWowISuRITE8nOHul0DJGol/uDeZwv/i7Nn7Vz8/Ab8Xi0rYdbqZF2McuyePjhjWzZUgYMZN26\nclau7CIvL8fpaL2Sn29QV9eCxzOEUMjPuHF+2zN4vZ20XbL54qBBXbZnEBGR6JOSmgqkOh1DviZ9\nBHKx2tpatm8vAHq28z11aiZr137sbKg+KCkZy7x5Zygo+ICZM48xf779Uyrmzx9OWtoBYmI+JDNz\nP/feq9E6ERER6R2NSLtYfHwcMTEXLjlj4fF0X3ZNVdVJFi/+J21tA7jtNnj88Wn2hryKoqJvUVTk\n3P3T01N46qkULMvSQvgiIiLSJ2qkXSw9PYOysgOsWpVOIJBBbu5bPPLIpC9eDwQCPPZYJZWV9wFQ\nUXGaQYPe48EHpzgV+ZqlJlpERET6So20y7344hxKSw9z9uyHlJYW4/V6v3jt7NkzHDuW+8VxMJhJ\nZeX7TsQUERERiThqpCNAcXHBFc+npqaRlVVBTc3nc4/bycqy7AsmIiIiEsHUSEewxMREXnghlcWL\n36StLYGiov/wxBNznI4lVxAIBJyOICIiIn1kWFb/jlA2NbVpCFTkKizLIi1t0DU/UVv1LNI7qanJ\nqmeRCPFV9awRaZFrgL7sKNe67u5uPt6xHaO1laTx48nKHe90JBERx6mRFlu1tDTT3NzMiBHZxMba\n++d35kwjixbto75+IKNHt/HSSzO0TbJIL1Uue50is4o4j4fTB9/n5H0/IbvgFqdjiYg4ShuyiG2W\nL3+PyZM/5tZb45k79y2am1tsvf+TT1ZQXn4/hw/fzfr1ZTz77N9svb+IW3V2dnKDeYy4i9sYZxoe\nOo8ccjiViIjz1EiLLdrb23n1VTh/voTu7lwOHPgpS5bstTVDTc2gS47iqKm5ztb7i7hVXFwcnfHx\nl53rHqCnOWK/YDDodASRy6iRFlu0t7fT1pZyyRmDzz6L/7/X94cbb2y75Kib4cPbbb2/iFt5PB6M\nmbOpCoVo9PvZP3gww++8y+lYEkVOfHCI7dNv59CEsbxz9500njntdCQRQHOkxSapqakUFb3Lrl2F\nQCxe7weUlt5ga4YlSyaxaNEa6usHMmpUK88/X2rr/UXcLKd4Kp9OLOBCaytjhqbb/h0HiW7H//A7\n7j9yGIA9jSEWzVvF6Nl3MXVqAoWFOQ6nu3ZYlsXx3buwTn5C8PoUfLPuUq32M/12JSzl5fs4daqV\nadPyyMkZftXrDcNgxYq5vPLKJlpbY7njjjRKSq68kUx/yc4extq1GkWT8HR0dFCx7g0Mj8F35t8f\nlV9UTUpKJikp2ekYEmFCoRCbNr1HS4ufOXMmMXRoypeuGdjUCEA1CbzBz2hvLaS+fiIbNtSQkdFI\nVlaa3bGvSVXbyhmzYxvJMbEEQyEOnD/PzQsWOh0roqmRlj577rl3WL58CoHAMJYv38Hrr7dTWDjm\nqj+XmJjIM8/M7NdsoVCIPXuq6OgIUViYRUrK4H69n0SHjo4Ots2by4L9+wgBK7a+zaw332LAgAFO\nRxNxNcuyePTRjWze/EPAy5o1G1mzZgIjRmRcdl1z3niCJ6oxuZ4gWQSv73miGQplU119RI30RTFV\nR0mO6WntYj0eBn5S7XCiyKc50tInfr+fzZu9BAKZgEFt7XRWrjzpdCyg5x/ya68d4u2389i5s4CX\nX26goeG807EkAuxds4oF+/cRC8QDD1XsoWLDOqdjibhedfUJtmwpAgYDBqZ5DytWHPnSdSVL/8za\nBQs5XjyBmvw0sib2PNE0jDpGjvzyCHa0CiYlXXYcuG6gQ0miR7/vbCgiIiIiEok0Ii0iIiIiEgY1\n0iIiIiIiYVAjLSIiIiISBjXSIiIiIiJhUCMtIiIiIhIGNdIiIiIiImHQhixRwufz/Qi4DsgG/g3k\nmqb5G0dDiUhYVM8ikUP17G5aRzoK+Hy+PKCenicQK4AHgLEXzxUDKcBS0zQDjoUUkV5RPYtEDtWz\n+2lqRxQwTfNfpmmeA6YA75qm2WyaZgWwEFgPVAKznMwoIr2jehaJHKpn99PUjijg8/luBi4A3wP+\n6vP54oAiYJhpmn6fz9cATHcyo4j0jupZJHKont1PI9LRYRowA6gGJgH3APuBz+f1eIBuZ6KJSB+p\nnkUih+rZ5TQiHQVM01xypfM+n6/p4qffTOC4valEJByqZ5HIoXp2P41IR7dlwI+BfKDc4Swi8vWo\nnkUih+rZJbRqh4iIiIhIGDQiLSIiIiISBjXSIiIiIiJhUCMtIiIiIhIGNdIiIiIiImFQIy0iIiIi\nEgY10iIiIiIiYVAjLSIiIiISBjXSIiIiIiJhUCMtIiIiIhKG/wIFGhsqr4X2hwAAAABJRU5ErkJg\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10b454f50>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The task in each of the above examples is to separate the red from the blue points. Testing data points are plotted in lighter color. The left example contains two intertwined moon sickles; the middle example is a circle of blues framed by a ring of reds; and the right example shows two linearly separable gaussian blobs."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Logistic Regression\n",
"\n",
"Logistic regression can be viewed as an extension of linear regression to classification problems. One of the limitations of linear regression is that it cannot provide class probability estimates. This is often useful, for example, when we want to inspect manually the most fraudulent cases.\n",
"Basically, we would like to constrain the predictions of the model to the range $[0, 1]$ so that we can interpret them as probability estimates. In Logistic Regression, we use the logit function to clamp predictions from the range $[-\\infty, \\infty]$ to $[0, 1]$:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = np.linspace(-10, 10, 100)\n",
"y = 1.0 / (1.0 + np.exp(-x))\n",
"\n",
"plt.plot(x, y, 'r-', label='logit')\n",
"plt.legend(loc='lower right')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 17,
"text": [
"<matplotlib.legend.Legend at 0x114bc8250>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFVCAYAAADR+vcXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x114bc8790>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Logistic regression is available in scikit-learn via the class ``sklearn.linear_model.LogisticRegression``. It's simple and fast, so it can be used for problems involving millions of samples and hundred of thousands of predictors.\n",
"Lets see how Logistic Regression does on our three toy datasets:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LogisticRegression\n",
"\n",
"est = LogisticRegression()\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMe0w+BzRqgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x116c3ead0>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can see, a linear decision boundary is not a poor approximation for the *moon* datasets, although we fail to separate the two tips of the sickles in the center. The cicles dataset, on the other hand, is not well suited for a linear decision boundary. The error rate of $0.68$ is in fact worse than random guessing. For the linear dataset we picked in fact the correct model class -- the error rate of 10% is due to the noise component in our data.\n",
"The gradient shows you the probability of class membership -- white shows you that the model is very uncertain about its prediction."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Support Vector Machines\n",
"\n",
"Support Vector Machines (SVMs) are a powerful supervised learning algorithm used for **classification** or for **regression**. SVMs are a **discriminative** classifier: that is, they draw a boundary between clusters of data.\n",
"\n",
"Let's show a quick example of support vector classification. First we need to create a dataset:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.svm import SVC # \"Support Vector Classifier\"\n",
"est = SVC(kernel='linear', probability=True)\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGv4/DgdwqfFA3WgAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x116ad3e50>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.html.widgets import interact\n",
"from sklearn.datasets.samples_generator import make_blobs\n",
"X, y = make_blobs(n_samples=50, centers=2,\n",
" random_state=0, cluster_std=0.60)\n",
"clf = SVC(kernel='linear')\n",
"\n",
"def plot_svc_decision_function(clf):\n",
" \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
" x = np.linspace(plt.xlim()[0], plt.xlim()[1], 30)\n",
" y = np.linspace(plt.ylim()[0], plt.ylim()[1], 30)\n",
" Y, X = np.meshgrid(y, x)\n",
" P = np.zeros_like(X)\n",
" for i, xi in enumerate(x):\n",
" for j, yj in enumerate(y):\n",
" P[i, j] = clf.decision_function([xi, yj])\n",
" return plt.contour(X, Y, P, colors='k',\n",
" levels=[-1, 0, 1],\n",
" linestyles=['--', '-', '--'])\n",
"\n",
"def plot_svc(n=50):\n",
" clf.fit(X[:n], y[:n])\n",
" plt.scatter(X[:n, 0], X[:n, 1], c=y[:n], s=50)\n",
" plot_svc_decision_function(clf);\n",
" plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
" s=200, facecolors='none')\n",
" xlim(-1, 3.5), ylim(-1, 6)\n",
" \n",
"interact(plot_svc, n=(2, 50));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAeMAAAFVCAYAAADc5IdQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xdck9f+B/BPwgiEmUCYIohiQAUHIg6Gigv3XthatbbV\n9rb3tr3d69fpvbXbtvfeTls37oUbB+IqKuKKuDcCCTOskOf3BxKNzxMkAfIk4ft+vXxVzvOQfA9Y\nvpzznO85AoZhQAghhBD+CPkOgBBCCGntKBkTQgghPKNkTAghhPCMkjEhhBDCM0rGhBBCCM8oGRNC\nCCE8szflk+Ry+ZsARgFwALBIoVAsbtaoCCGEkFbE6JGxXC7vD6CPQqHoC6A/gNBmjokQQghpVUwZ\nGQ8BkCOXy9cDcAfwz+YNiRBCCGldTEnGMgBBAEaiblS8EUB4cwZFCCGEtCamJOMCAOcUCoUGwAW5\nXF4pl8u9FQpFwaM3MgzDCASCJgdJCCGEWBGjE58pyTgDwEsAvpTL5QEAXAAUckYjECA/v9SEt7As\nMpkb9cNC2EIfANvohy30AaB+WBJb6ANQ1w9jGb2AS6FQbAFwQi6XH0XdFPV8hUJBp00QQgghJjKp\ntEmhULze3IEQQgghrRVt+kEIIYTwjJIxIYQQwjNKxoQQQgjPKBkTQgghPKNkTAghhPCMkjEhhBDC\nM0rGhBBCCM8oGRNCCCE8o2RMCCGE8IySMSGEEMIzSsaEEEIIzygZE0IIITyjZEwIIYTwjJIxIYQQ\nwjNKxoQQQgjPTDrPmFimkpJiHDqUAZHIAbW1Wjg5uaBv3zgIBAK+QyOEENIASsY2orCwEEeO7MeM\nGSmws7MDANy9exebN6/HqFHjeI6OEEJIQ2ia2kYcPZqJJ598QpeIAcDPzw89e3ZHbu4FHiMjhBDy\nOJSMbYRYLOKcjo6KisTVq5d4iIgQQkhjUTK2EQxjqJ0BY+giIYQQi0DJ2EZUVlajtraW1X7kyBGE\nh3fmISJCCCGNRcnYRsTF9cfPP/+K8vJyXdvZs+dw+fJ1tG0bzGNkhBBCHodWU9sIV1dXjBw5Hlu2\n7ADD1EKr1cLPLxCDByfzHRohhJDHoGRsQxwdHTFgwCC+wyCEEGIkmqYmhBBCeEbJmBBCCOEZJWNC\nCCGEZ5SMCSE2hWEYlJaWQKPR8B0KIY1GC7gI4ZlGo0FGxj7U1taAYQAnJzH69YunAz5MsHfvbmi1\nNZDJvFFUVIyyMjUGDRoGBwcHvkMjpEGUjAnhUU1NDTZsSMWMGdPh5uYGALh37x7WrUvFuHGTKCEb\nYe/e3ejXrxcCAgJ0bZWVlVi6dAVGj57AY2SEPB5NUxPCo337duOpp57UJWIA8PHxwejRw3Hs2GEe\nI7MuWq0WDFOjl4gBwMnJCWFh7XH37h2eIiOkcSgZE8IjoRBwdnZmtfv7+6OkpIiHiKxTSUkxfH19\nOK/FxPSEQnHOzBERYhxKxoRYKJqibjwXF1colSrOa5cvX0ZAQBszR0SIcSgZE8Ijrbbuueaj7t69\nCxcXN47PIFwcHBxQXFyG6upq1rXDh48hLKwjD1ER0niUjAnhUULCQPz222Ko1WpdW2FhIdav34zY\n2L48RmZ+DMOgsrLS5CM/Bw9Oxh9/LMWhQ4dQU1ODc+fO4ZdffkefPgnNHCkhzY9WUxPCI0dHR4wZ\nMwmbN28Hw9QdgengIGp1K6kPHNiLmpoKeHh4oLS0FJWVNRg0aBjs7Rv/I6ruazkRt27dxNq1mxAQ\n0IZWUROrYVIylsvlxwEU3//wskKhmNN8IRHSujg4OLTqAz727duD3r2j0abNg+e6arUaK1akYtSo\n8Ua/XmBgGwQG0jNiYl2MTsZyudwJABQKxYDmD4cQ0ppotVrU1lbrJWIAEIvFCA0Nwb179+Djw71K\nmhBbYsoz464AxHK5fLtcLt8tl8tjmzsoQkjrUFxchIAAP85rvXrFQKE4a+aICOGHKcm4HMDnCoVi\nKIDnACyVy+W0EIwQYjQXF1cUFio5r129ehW+vv5mjogQfpjyzPgCgIsAoFAocuVyeSEAfwC3uG6W\nyWyjPIP6YTlsoQ+AbfSjOfpw8GAVampqWPtHnzhxAikpKU1+/cawhe8FYBv9sIU+mMKUZDwLQBSA\n5+VyeQAAdwAG95rLzy81MTTLIZO5UT8shC30AbCNfjRXH/r0GYDFi5egW7coREf3wKVLl3DgwEHE\nxPQzy9fIFr4XgG30wxb6AJj2C4Up08u/AHCXy+X7AawAMEuhUGhNeB1CCIGTkxPGjJkIwBHLl6fi\nxo08jBw5Hr6+vnyHRojZGD0yVigUGgBPtEAshJBWLDg4BMHBIXyHQQgvaOEVIYQQwjNKxoQQQgjP\naDtMYpLr16/h7NlTEIudUVtbC41GiwEDBhu1fSEhhJA69JOTGO369Wu4ffsqnnhiuq6toqICf/yx\nFOPHT+ExMkIIsU40TU2Mdv58DkaNGqnX5uzsjKSk/sjJyeYpKkIIsV40MgaQl3cXJ078BUdHB9TW\nahEb2xfu7h58h2WxnJycONs7dOiAY8dOIDKyq5kjIoQQ69bqk/HJk8eh1VZhxoypEAgE0Gg0WLNm\nLdq1k6Ndu1C+w7NIGo2Gs12r1Zp8Fi0hhLRmrXqaura2FgUFdzF06BDd2bH29vaYMmUyLlygDeoN\n0Wi0qKysZLXv3LkLPXr04iEiQgixbq06GWdnH0diYjznNV9fGUpLS8wckXUYMGAwfv/9T1y5cgVA\n3Yh4x46dqK7WwsvLi+foCCHE+rTqaerq6hqIRCLOa46ODganY1s7BwcHjB8/BdnZJ3D48F9gGAbd\nu8fA29ub79AIIcQqtepk3L17NPbvP4Bx48ayrt2+nYdOnXrwEJV1EAgE6NaNvj6EENIcWvU0tUgk\ngkBgj5yc03rte/fug79/G56iItbs6tUryM4+wflMnRBCDGnVI2MA6NcvETk5p7B06Qo4Ojqgqqoa\nHTt2opXUPDl16iTu3bsNgUAIV1d39OrVR7e4zpJdv34NZ86cRFRUF0REtMexY5morq7FgAGDG/0a\nCsU53LhxDZ6eUkRHx1hFvwkhzaPVJ2MAiIyMQmRkFN9htHpbtmxAv36xSEqqW1R3584drFmzAuPG\nTYadnR3P0Rmm0Whw5swJPPnkg8PMAgMDcf36dWRmHkDfvtyLBOuVl5dj584t6NevL+LiJuHWrVvY\nsmUdevSIRUBAoFGx1NTUIDf3Ajw8PBAYSLM7hFiLVj1NTSxHdvYJxMX1RlhYmK7N398fTzwxHfv3\np/MY2eMdPnwQY8aMZrW3bdsWanXZYz8/PX0HZs9+Cp06RQCoS+SzZs3EiRNHjYpj//50HDq0D0FB\nPqipKUda2kbcuHHdqNcghPCDkjGxCPn5d9GhQwdWu6urKxjGsle1V1ZWwMODe8c2R0eHBj+3qqoK\nXl6enCP/3r17QaE436gYjh7NRPfuXTBhwjiEhoYiJqYnnnwyBTk5WaipqWnUaxBC+EPJmFiEhp6P\nWvqzU7HYFQUFBZzXqqqqG/zcsrIySKVSzmtBQUHIz89rVAwlJcUIDWWvcxg7dgwOHcpo1GsQQvhD\nyZhYBCcnF+Tn57PaNRoNampqeYio8Xr37ouNGzex2i9cyIWnJ3eirSeRSHDr1m3Oa4cPH0FERJdG\nxWBoBO7h4YHq6qpGvQYhhD+0gItYhD59+mH16hWYOfMJiMViAHXblf7++2IMGjTCbHFoNBocOpSB\n6upKaLUMYmJ6w9NT0uDnCIVC9OoVj99++wMhIW3h7e2Fc+fOw9HRGf36JT72cx0dxbh8+bLeyLa4\nuBjXr99CVFRMo+KuruaeilapVBCJuA/2IIRYDkrGxCIIhUKMGTMJGzduhUDAQCAQoKamFklJw+Hi\n4mKWGIqKVNi7dycmThwPiUSC2tpapKWlwcnJHV27dm/wc319fTFy5DgolYUoKSlBQsLgRq8Aj4tL\nxKFDGThy5BicnUWoqqpBbS0wfDh7UZghHh4SXLiQi44dw/Ta16/fiGHDGv869crLy5GZuR/29nao\nrq5GeHgXBAeHGP06hJDGoWRMLIaDgwOSkoby9v4HD+7D00/P1j2jtrOzw8iRI7FqVSpqamrg4NDw\nYiwAkEq9IJUavz93nz5xAACGYUx6Rh4T0xsZGfuQnZ2NyMguUCpVyM29hB49YmFvb9z/5nVHih7F\n5MkTddvFHjiQgSNHMhEb29fo2Aghj0fPjAlBXRJ0dXXhTITJycNw+PBBs8TRlMVqcXGJiItLglJZ\nDnd3bwwfPsboOmUAOHHiGJ54IkVv3/b4+DjU1FSgoqLC5PgIIYZRMiYEdcnY3p77fwcXFxer2d7S\n3t4eYWEd4evrZ9LnMwwDsdiZ85o5fykhpLWhZEwI6p5Zl5dzJ9z09L3o0aNxC6lsgVDIPTq3t7eH\nVqs1czSEtA6UjAm5r02bEOzdu1+v7c6dO7hz516rOadZIBCgvJx7Knr37t2IiYk1c0SEtA60gIuQ\n+zp16oyLFy9g6dLlcHZ2QnW1BiKRM4YONV9plSUICwvH5s1bMGLEcN0z7NzciyguLoe7O/dOY4SQ\npqFkTMhDOnToiA4dOvIdBq9CQzvA2VmMJUtWwNlZhOpqDby9ZQ2eQHXjxnWcP38GABAd3cukFeWE\ntGaUjAkxo9u3b+H06Wy4ujpBKvVDeHgnvkPi5O8fAH//gEbdm5a2CR07hmLatElgGAa7du3GmTM5\niI/v37JBPoJhGGi1Wos+4YsQQygZ2ziGYXDw4H5UVqrh4uKE4uIydOzYCaGh7fkOrdXZu3cXfH29\nMX36ZAgEApw5cxYbNqzG6NETLH7/bUMyMzMwaFB/BATUJW6BQIAhQwbj6NGjuHz5kln+nVVVVWH3\n7u1wdnaESCRCebkaUqk3oqPp+TaxHpSMbdz27VswaFB/+Pv769p27dqF3FwNwsLkPEbWuly8mIvQ\n0GBER/fQtXXu3Al+fr5IT09HYuJAHqMznVpdqkvED+vVqxeWLVtplmSclrYRTz31hN6mLDk5p3H8\n+LFWtQqeWDdaTW3D8vLyEBQUoJeIAWDQoEG4evUiT1FZJrVajT17dmD37u3IyjoGhmGa9fWvXMnV\nS8T1vLy8oNFY70EO9vaGp4TNMV2cm6tAnz6xrN3R6nYhYx88QoilomRsw06dOo7ExATOa87OdHhA\nvTNncnDs2EGMHTsSU6dOROfOYVi7dgXUanWzvUdDiUkotN7/DSsrqzl/cSkrK4NQ2PITb1evXkaX\nLp05rzk7izjbCbFE1vtTgDyWg4ODwZ2jamtp8wYAqKmpQV7eTUycOF63/WNQUBDmzp2DvXt3Ndv7\nODiIoFKpWO0Mw6CysuEzjy1Zjx69sHr1Wr02rVaL5ctXom/f+BZ/fxcXNyiVSs5r1dWaFn9/QpoL\nJWMb1rt3HLZu3cZqZxgGajXtMQwAR45kYvjwZFa7nZ0dxOLmmz3o2zceK1akQqPRTxArV65Cr17W\ne/iCj48PwsI6YenS5Vi9ei1Wr16LJUtWYODAoXB0dGzx94+N7YOtW9NY7Wq1mpIxsSq0gMuGOTk5\nwcXFHdu2bceQIYMhFAqhUqmQmroGAwfydzoSH0pKipGZeQDOzo4ABKioqETPnn1QUaGGq6sr5+fY\n29uZfIrSo+zs7DBixFgsX54KkcgBIpEDSkrK0b17L6vf3SswsA0CA9vw8t52dnYIC4vAn38uwdCh\nQyCTyXDkyBGcOXMeI0aM5SUmQkxBydjGRUf3QkFBAZYvT4W7uxjV1QxGjZpg9LF61qyyshLp6dsx\nZ86D4xEZhsGffy5BaGg4Dh8+jD59+rA+r6KiqllLjpydnTFs2EgAgEzmhvz80mZ77dYsNDQMISHt\nceTIYZSWliA8vBNGj57Ad1iEGMWkn8hyudwHQBaAJIVCcaF5QyLNzdvbG0OGDG+1CeDgwX2YMSNF\nL7EKBAKkpEzH8uWpqK6uRnh4OCQSie56ZuYh+PvzM9ojxhMKhejd23qn+wkxOhnL5XIHAP8FUN78\n4RDS/AQCAZyc2M9/7ezsIBI5YMiQ4di+fQcALRwcHFBRUYmgoHbo0iXK/MESQlolU0bGnwP4EcCb\nzRwLIS1Cq601eE2jqYVAIEBSUut6hk4IsSxGraaWy+VPAchXKBQ77jdZ5x5+pFXx8wvE2bPnWO03\nbtyAmxudQkQI4Z/AmJ2G5HL5PgDM/T/dACgAjFEoFHkGPqV5tzEixEQbN26ETCZD7969IRAIcPz4\ncVy6dAmTJk3iOzRCiO0xeqBqVDJ+mFwuTwfw7GMWcDG2sGDIVhY+2UI/mtKHW7du4uzZHABAhw5y\ntGsX2pyhGaW1fy8sCfXDcthCHwBAJnMzOhm3nvoW0urxWQ9rK65duwqF4gycnESwsxOgrKwSAwYM\nNssGH4TYMpOTsUKhGNCcgRBCLNv169dw9+51pKRM1bVVVVXht98WY/z4qVZ7DCQhloC2wySENMrZ\ns6cwcuQIvTaRSITk5KE4cSKLp6gIsQ00TU2IlcjLy8Px40cgFjsDACoqKtG9ewx8ff3M8v6G9uoO\nDg5GZuZRs8RAiK2iZEyIFSgtLcGJE0fw5JMpeu1LlixDnz4JcHdv+RItQyd9abXaZj//mZDWhqap\nCbEChw5lYNq0Kaz2adOm4NChDLPEoNEwKC9nb7y3a9dudO8eY5YYCLFVNDImxAo4ONhzHu5hZ2cH\nR0cHs8QwcOBgLF26AomJcZDL5aitrcWOHTuh0dTtf26Lrl27ivPnT0MkckR1dQ06dJAjNLQD32ER\nG0TJmBAr8Og5yI291pzs7OwwbtxknD17GsePp8LFRQS5PApSqXUfAWlITk42gBrMmDFN15aRcRBZ\nWUcRHd2Lv8CITaJpakKsgKEtPc+dOw9f3wCzxtKpUxcMGjQMo0ePttlEzDAM7t69iYED9Ss44+L6\noaioAFot9/NzQkxFyZgQKxAZ2RU5Oeewe/ceaLVaaLVa7NmTjuzsM4iK6sZ3eDbn1q2bkMvDOK9F\nR/fA+fPsX4wIaQqapibESgwcOBgFBQVYsWI1AKBbt56IjOzJc1S2SSgUQqMxvHrczs7OzBERW0cj\nY9JqlJQUY/fuHdizZyfKysr4Dsck3t7eGDw4GYMHJ0Mmk/Edjs0KCAjEhQsXOa8dP34CHTvKzRwR\nsXU0Miatwt69u+Hm5oSJE8dAq9Vi+/bt0GqF6Ns3ge/QiIUKCgrF1q1bkZycDIFAAIZhsHv3Hshk\nAbT1J2l2lIyJzTt16iQ6d5ajU6cIXduoUaNw7NgxXLyYiw4duJ8NktYtIqIT8vLysGTJivulTdXo\n0qUbHTbSClVXV0OlUsHb25vzEcU777yOGzduQKVSIjIyCv/7349GvwclY2Lz8vJuIykpntUeExOD\npUtXUDImBvn6+mLYsJF8h0GaiVarRWlpCZRKJVQqJTp16gInJ/Y2r889NwcXL+ZCpVJCqVSivLzu\nsVZW1mkEBbVl3b9tWxquX78KgUAAV1dXk2KjZExsnoOD4X/mdPQf4YtarUZGxj5otXVbiTIMAwcH\ne8TH94dIJOI5OstXWVmpS5YqVd2fxMQBnFvDTpkyDqdOnURRURFqa2t17QcOHIVcHs66/9y5s7h2\n7QokEinatQuFRCKFVCqFUMi9zGr9+i0Qi8Xw8PA0eXEfJWNi8yorq8EwDOs5n0ajQU2NeTbMIKSe\nRqNBWtpmiMViJCYO1Eu85eXl2LdvDzSaWgwbNtzgD39bU1SkQmFhAS5erMLlyzegUqmgUikxbtwk\n+Pr6su5PTh6IrKy/WO07duxFt249WO1CoRBSqRdCQztAKpVCIqn7Y2gUu2vXfjg4NH5nuzZtghp9\nryGUjIlZVVZWQiAQmPU3/+joWKxfvwHjxo3Va09NXY3evdnT14S0FI1Gg1WrlmPs2AkQi8Ws6y4u\nLhgyJBklJcVYtWo5pkyZbpWLxXJzL+D27Vv3R6wq3ch11qy5CA1tz7p/+vRJ+Osv9slfUVHdOJNx\nly5d4erqppdYpVIp/Pz8OeNZvnyNUfEbk4ibCyVjYha5uQpcuXIREokHGIaBSlWM8PAuCA4OafH3\nlslkKC8PxZIlyyEWO4FhALW6AlFRPeDm5t7i709Iva1bN7EScVlZKfLy7sLfP1DX7u7ugeHDRyIt\nbQuGD+f/mfXhw4dw5colvSlhpVKJl1/+JyIju7Luf/PNf2L//nRWe2LiAM5kPHjwUHTsKEdgoB9E\nIlddkpXLI1j3AsDnn3/V9E5ZGErGpMXduXMbRUX3kJIyVa991apUeHh4wNNT0uIxhIS0Q0hIO91R\nf9Y42iDWrbS0BG5u7rqEW11djZ07t8LX1xshISE4ffovFBQUYejQEbCzs4O7uweEQiGqq6ubfW3D\n9u1pOHXqpN4z16IiFd577yP068eeLfrhh2+wbdtWVvv48RM5k/HEiZPRu3cfSCQSvZFr+/bch2z8\n4x//BADIZG7Izy9tYu+sEyVj0uKys49jxoyprPYJE8Zj+fJUDB06wmyxUBImfMnIOIBBg4boPt6+\nfTNmzJimS7QREREoLy/HmjUbkJw8CgAQH5+IAwf2IilpCKqrqwFwLzpctWo5Tpw4itu38/RGrgsW\nfIFRo8aw7l+3LhVr167WaxOJRCgoyOeM/amn5iA5eaReYq37O/cv0lOnpnC2E8MoGZMW5+ws4kyC\ndnZ2EIloNTNpHQQCARwcHKDVanHt2lXY2wtRVlYGqVSqu8fFxQVSqTv+859F2LVrJ4qKVLh9+yYq\nKipRXl6Gb775AdOmzWC99qFDB7F06R+69/H09Gxwxmn+/BcxffqTeiNXsVhs8JfVgQMHN7H35HEo\nGZMWV1VV3cC1KjNGQkjzerS8pm3bYLRtG8y677vvvsbPP/8H//jH83rlNYsWLcLzzz+vd29ISAj+\n/HMZ9u9Ph1gshpOT80PlNdynZL3yyut47723wTCOjSqvocNFLA8lY9LiAgPb4tSpHERFReq1HziQ\nAbm8M09REfJAbW0tiouLdIm1qEgFpVKJTp06cz4T/fzzz/D9999ArVbrtb/77of429/+zrq/vLwU\nZWWl8PX1Q2hoB7i6ukIkckDHjh1Z916/fh3vvfcRFi78Bk5OTti2bSuGDRveYPxt2gS16uettoCS\nMWlxnTtH4uDBfbh8+TIGDx4EjUaDHTt2wcXFDeHh7B90hDSVSqXEzZs3dCPW+gTbs2cvJCT0Z93/\n739/gq++Wshqf+WV1zmTsVTqhQ4dOkIikeiV18TExHLG88Yb7yIyshuGDRuuG7Vu2rQGAwbon5dc\nVVWFvLxCxMT4AAAqKipgZ9c6ao1bO0rGxCz69UtERUUFtm3bDaHQDn379qfdr0ij3bhxHWfOnGbt\nuBQXl4Bx4yay7l+8+Fd8+umHrPb581/kTMadOnXBsGEjWHWrXBtIAMCcOc9gzpxnjOpDXFw8MjL2\nIzGxLgEPGjQcf/yxBCEhwejYMQznzp3HzZu3MXTog1KmAwf2IiFhgKGXJDaEkjExG2dnZ/rBQgAA\nCsV5ZGTsY41cBw4chGeemc+6Py1tM9555w1Wu729PWcyjo6Owdy5z+kSa/1CJUOlNWPGjMeYMeOb\n3rEGeHh4QqVSoqqqCiKRCM7Ozhg1agIKCwuhUFxBSEhHdOv2YGRdVlaGqqpqzr2Tie2hZEwIaTSu\nbUUBIDv7BDZsWMcauQ4Zkox33/0/1v1Hjx7Gm2/+k9VuaAelPn364f33P2aNXH18fDjvj49PRHx8\nopG9a3nDh4/C6tUrMWHCZN0udF5eXvDy0l+YVV5ejk2b1mPy5Gl8hEl4QMmYkFZIq9WipKQYtbVa\nViIAgGPHjuDnn/9zP7GqdNsaDh8+EosW/Zd1f27uBSxa9LXu4/ryGrW6nPP94+MT8dNPv+uNWuvL\na7hERnblfHZrbRwdHTFx4hRs3boJnp4SxMUlwN7+wY/h6upqZGTsQ3l5OSZPnmbyoQPE+lAyJhbj\n9u1byMo6BgeHB8+Sa2qqERXVzSzbZlqriooK3epfBwcHdOwoZ91z+HAmPvrofd2Itb68ZsSI0fjt\ntyWs+wsKCrBuXd1+vmKxGBKJFCEh7RAQEMgZQ2LiQGzZslM3cn1ceU39jmitkaOjI8aOnYDi4iLs\n2LFNdxhE/axDXFyCycfwEetFyZjwrqKiAlu2bERISDuMHDlGbxqUYRhkZ5/A0aOHkZw8AjKZG4+R\ntiyu8hqx2IVze8KDBw/g+eefgUqlREVFha594MBBWLFiLev+yspKHD/+l24UWn96Tffu0ZyxJCT0\nR3b2eUgk0kY9s5TJZJDJZEb0lnh4eFrEvtPEMlAyJryqqqrC+vVrMGnSVL3punoCgQDduvVAVFQ3\nrFq1HLNmsXcfskQ1NTXIy7urd2qNUqmEu7s7JkyYzLo/MzMD48aN0O2dXa93777YuHEb634nJyfY\n2dkhLEyuV17TuXMk616gLrneulXY6CP5XFxc4OLi0qh7CSFNR8mY8CotbTMmTpyil4gvX76Ey5dz\nERwcirCwuk0RhEIhJk2aik2bNmHQIPOPJsrLy5GTcwpFRSq9RUoeHp6cmzxkZ5/A8OGDWO1RUd04\nk7FM5oPY2D7w9NSvW+U64QaoWy2clXW60fG3lnNxCbFWlIwJb0pLS+Dh4ak7O7SsrAy7d6chOroH\npkyZgLNnz2HDhlQkJg6Cp6cEdnZ2CAwMRH5+fpOnREtKirFr1w69xKpUKuHp6YkFC75g3X/16hWM\nHj2U1R4W1pEzGQcGtsGECZP1EqtEIjH4zDUsrCPnCJgQ0joIHp0Wa2aMLWzPZivbzFlaP9LStmDQ\noCG6ZLx581rMnPmE3iiOYRj89ttijBo1AQDg5eWC339fxjqJpri4CH/88bveiTUqlRKurq5Ytkz/\ndBqgbvTdu3d3VnubNkE4fvwMq12lUuL777995MQaKWQyb4SGcteuNsTSvhemsIU+ANQPS2ILfQAA\nmczN6OPhaGRMeMMwDCorK+Dg4ICSkmIEBgboEnFRURHefvttKJVKXLp0CQsXLkR5eRnEYme8/Ta7\nbrWyshKALomyAAAgAElEQVQfffSeXptAIDC4YtfPzx//+teXrJGrRCLlvF8ikeKddz5oWocJIcQA\nSsakWdSfXlNSUgK5PJx1vaysFPPmPa23IYRKpYK7uzsuXLiOgoICBAYG6O4XCoX44YcfdB87OTnB\ny8sbEomEtcgJALy8vLF06SrdyNXTU9JgeY1YLMasWU83Q88JIaTpKBkTPY+W15SWlnCeZVpVVYXk\n5CRdYq0/vcbR0RE3buSzdmkSiZywfXsa7Ozs7q/+9YJE4oUOHcLAMAwCA9vgr78OonPnulOc3Nzc\nkJ2dDS8vL2RlZSEysidcXd0gk7nhjz9WsOKxt7fH4MHDWuArQgghLc/oZCyXy+0A/ASgIwAGwHMK\nhYL9kI3wrry8XG8UWltbgWvXbmPmzNmsZKnVatG5c3solUrWyPPWrULdc916jo6OuH37JlxcXFmn\n19TW1rLKlBwcHJCbex1ubu66qeh9+9LRrVt3CAQCiEQiqNVVKCgogLe3NwQCAaKiolBcXAyVqhSu\nrnX1xXSKDSHEFpkyMh4JQKtQKOLkcnkigE8AjG3esAiXixdzUVBQcH8HJZVuyve1197iPAEpIqId\nKisrWe0TJkyCm5u7XptQKERISCjCwuSs8pra2lpWMhYIBDh//qpR8Xt4eOp93K9fPHbs2Kbb+GDQ\noGHYtWsnhEItPD09UVxcjOrqWgwb9qCUac+ePXTYBCHE5hidjBUKxQa5XL75/ochAFTNGlErkpGx\nH/fu5bHKaxYu/Fo3EnzYyJGDoVQqWe1z586Dr68vq33EiNEAoEusbdsGwN7eWW+7yYelpe1uYo+M\nY29vD5HIEXl5efD19YVAIEBS0hAwDAO1Wg1nZ2e9ldUqlRIajYZOsSGE2ByTS5vkcvnvAMYBmKhQ\nKHYauK1F66YszbJly3DjRt2B5oWFhbo/qampnMmybdu2uHHjBqv94sWLaN+evdnDu+++C41Gozvl\npf5Pz549dSfAWKOVK1ciPj4eAQEBBu8pKCjAtm3bkJKSwnlqECGEWBCjf0g1qc5YLpf7AjgCIEKh\nUFRw3GLxdcZarRYA9w5F//3v97hy5TLU6lLcuZMHlUqFoiIVUlM3oF27UNb9fftG4+LFXL02gUCA\nvXsPISKiE+v+P//8HRqNRrf6t34E6+fnz7k1ZFNZcg1fevpulJWVolev3vD19dO1FxQU4NChg3B2\ndkJS0hD4+LhbbB+MYcnfi8ayhT4A1A9LYgt9AMxUZyyXy58A0EahUHwGoAKA9v4f3tWX10ilXpwj\nxQULPsKZM6f1ymuKioqwY8c+REZGse5PTV2JU6dO6j6uP72mfuXwoz766DPU1tbqbQzRUHnNE088\nZVpHbdCAAUlgGAZHjx7BiRPHde3u7u4YMWIUbedICLFppgy/VgP4XS6X7wPgAOAlhUJR1ZxBabVa\n3R7AKpUKHTvK4e7uwbrv9ddfxtGjR3T31ifJzZt3olevWNb9mZkHcfhwpl55TWhoB4PTnl9//T2E\nQiE6dAiCVuv42GeVSUlDTOgtqScQCBAb25vvMAghxGSmzjabsoCrAsCUxtzLMMxD5TUq3Wg0NrYP\n/Pz8WffPm/c09uzZiaKiIr0OpaZuQGIiewXt1atXcPXqFUilUr3yGkNngf788x8QiRz1ymsa0qVL\n3Qk4tjJ1QgghpHH085f+ItuHS0b1r6vQp09fpKVtMfr9WnTTj7Fjx2Ljxo2s9t9/X8Z5jqezszN8\nff0gl0foTfX6+3Mv7Fm2bHWDB5g/ysfHp/HBE0IIsQk1NTUcifPBfx8uFX3479XV1Y16fUdHR0gk\nUgQEBBg8DOZxWjQZd+/eHWVlatbm+lyLmQDgyy+/M+r1jUnEhBBCrBvDMCgtLdEbnT74O3uUWv/3\nsrLGzWwKBAJ4eHhAIpGiTZs2rH3rH85l9QtvJRIpXFxcmlzl0aLJ+IMPPqDpXUIIISxVVVWsUapG\no8b167c5R7EPdhKsbdTrOzk53d9fIVhvMPjg75JHDoqRwtPT8ILblkZ7UxNCCDGZVqu9v589dwJ9\nMErVv65Wlzfq9YVCISQSCTw9JQgJCWUl1kd3DKz/u7Ozcwv3vHlRMiaEEAIAUKvVumRZX6XS0PPV\n+vLQ+v0aHkcsdoFUKkX79h3uJ06J3jRwcHAg7O2d9RKru7tHqyhtpGRMCCE2RqPRoKioyGASNbQi\nmGsvey515aFSeHvLEBYm53ym+nCSrW973E6BrblyhZIxIYRYqMaU19SPYktLi3HvXj5UKhWKi4sa\n/R5ubu6QSKQID48wuFjp0SlhNzd32pa2mVEyJoQQM2iovObRKeGH200pr+ncuUujEqtEImGdyEb4\nQcmYEEKMwFVe83AZTVPLa4C640YlEoleeU1D078SiRQhIX4oKChrwZ6TlkTJmBDSalVVVeH27VJc\nvHjDQDJl168WFamg0Wga9frOzs6PLa95tM3U8hqaNrZulIwJIVbPXOU1dSPQdpyJ9eFNIKy1vIbw\nh5IxIcSimLu8xt/fB2Kxm8Hp39ZUXkP4Q8mYENIiamtrWeU1DT9fNa68xt7eHp6ekofKaxqe/q1v\ne7S8pjWX0xDLQcmYENIgQ+U1NTVq3Lhxx+CUcNPKaxreXanudDY3ek5KbAYlY0JakZqaGqOmf5uj\nvIbrWeqjC5aovIa0dpSMCbFC5iiv8fT0ZJ1e83AyDQ4OgJ2ds15bc5xeQ0hrRMmYEJ49enpNQyfW\nmFpe4+kpeezpNZ6expXX0LNWQpoPJWNCmsmD8pqGz1hVKpUoLS1CQUGh0eU19aPV4OAQg89Srf30\nGkJaI0rGhHB4uLymoU32H75uTHmNi4sLJBL902sMLVaqXwXs4eFJ5TWE2ChKxsSmGSqvqZ/qNXd5\nTf1ipjZtvGmKlxCiQ8mYWIW68poyqNVKXLx4/bFHwTW1vMbwKJXKawghzY+SMTE7Q6fXNLSVoanl\nNZ06dW7wKLiHN96n8hpCCF8oGROTGV9eU3ettLSk0e/xaHmNv7/vQ1sXcidWKq8hhFgbSsYEALu8\npqEzVuuTrjHlNU5OTpBIpAgKavvYo+AaKq+hchpCiC2iZGxjtFotSkqKORNoVVU5bt68oyuveXiV\nsCnlNQ+fXvPw6JRrSlgsFrdwzwkhxHpRMrZgarW6gRW/3M9XjSuvcYVEItErr3nciJVOryGEkOZH\nydgMNBqNrryGK4kamhI2prxGIpEaKK95kFhDQ9tAIHDSjVYfPb2GEEIIPygZG8HQ6TWGNoFontNr\nuI6CM628hp63EkKIZWq1yZirvMbQlHBJSRHy8wuadHpNQ3WrDxIuldcQQkhrZPXJmKu8xnBiVemm\nio0tr6nbNYn79BquHZeovIYQQkhjWVQyrqqqeuwewE05vcaU8hoPDw/4+0toepcQQohBlZWVUKmU\n0Gq1kMkijP78Fk3GN2/exOnTFxrYF1h/mtiY8hqJpG5j/YfLawxtAkGn1xBCCGmsupxU+MjAUIUn\nnngKrq6urPt79ozE9evXAABJSYOxa9cOo9+zRZPx/PnzsWnTpgbvEYtdIJVKOctrDCVWKq8hhBDS\nWOfOncW9e3msRbYvvfQqvL29WfcPHpyoS64PGzJkKFxdw1jtXbt2R2hoe0ilUkRFdTcpxhZNxmPH\njkVQEHvk+vDUMJXXEEIsRWFhIY4cOQQ7OzswDAOtVovo6J7w9fXjOzTykAMH9uHmzRusGdcPP/wU\nQUFtWfc/++wsnD9/jtU+efI0zmQ8cuQYFBcXsfKWj48vZzy//PJHk/skYBimyS/SAMYWnrXaSkmQ\nLfTDFvoA2EY/bKEPQF0/Tp1S4NixI/D2lqF37766mTeGYXDs2FHk5d1FVFRXBAeH8BtsA6zh+3Ht\n2jV88cUCZGX9BaFQgOjonnjttbdx9Ohh5OZeQGVlGW7duqvbd+Gbb35EeDj7+evQof1x4sRxVvum\nTTsQG9ub1f7TTz+iuLiYVSoaFiZvkd0BZTI3o1fvWtQCLkIIMbdLly4hO/skRo8ex7omEAjQq1cs\nACA9fTcqKyshl4ebO0SLVF1dDYFAwFmO+csv/0NOTrbeyLWwsBBubq64evWq7j6F4jxycnLg4iLG\n4cOH9F5DJBJBqSzkfO8XXvgHyspKOWdcucydO8/0jpqJ0clYLpc7APgVQDAAEYCPFQpFww+GCSHE\nApWXlyMrKwvDhg3Xa6+qqgLDMHByctK1DRiQhLS0LZDJZJBKvcwdaoup389epVJBJpPB1dWNdc9X\nX32OzMwMvUqW8vIyrFixBgMHDmbdv3v3Dt0iJoFAAE9PTzAM9BJxvZycbKSkzMSrr76J9u2DAIh0\n+9kbKg8dNWpMk/psiUxZBZUCIF+hUCQAGAZgUfOGRAgh5nHgwD6MHTtW9/HZs2cwa1YKoqO7IDo6\nEikpk5GVdUx3fejQZBw8mMFHqI1SWVmJO3du48yZ08jI2I+8vLuc93344Xvo2zcaERHtEBjohY4d\ngxEb2w1796Zz3n/6dA727UvHxYsXoNVq0a5dKOLj+0MsZq8sBoBPPvk3Dh8+jvPnr+D2bSUUimuI\nj080GLdaXYaEhP7o1q0bAgPbtMp9GkyZpk4FsPr+34UAGlfkSwghFoRhGNTUVMPR0RFA3RGic+fO\nRG7uBd09O3duw4UL57F27WYEBbWFUCiEQCCAVqtt0YqO2tpaFBUVoahIf9vdmJheaN+evZr39ddf\nxsqVy6BWq/XaFy36LyZPnsa6v341cd2e9R1007z+/v6c8Xz11Xf4/vv/6c0UNKRdu1BWG1dJ0INr\n7NF4a2N0MlYoFOUAIJfL3VCXmN9u6H6ZzDa+yNQPy2ELfQBsox/W3IebN2+ia9dOAOr68d13n+sl\n4nrXrl3FkiW/4MsvvwQAJCT0xr171xEZGdno98rPz8fNmzdRWFio92fo0KHo1asX6/45c+bg119/\nZbX/+OOP6N27B6u9bdtAREREwMvLC1KpFF5eXvDy8kLfvjGc36MlSxY3Onageb7Ps2fPxIYNa1m/\nMLi4uGDu3Nm697Dmf1NNYdICLrlcHgRgLYDvFQrFiobutfTVfY1hDasUG8MW+mELfQBsox/W3ofL\nl2/pNgLKzy/F2bMKg/eeO3dB11et1gGZmX/h5MmzrA2NRowYjYEDB7E+/4033savv/7EamcYe7Rr\nx14tHB4eieTkkayy0K5de3F+zZ9//hV88MEHnNcs5XvUtWss/v73f+Knn35Efv49AICPjy/mzfsb\nwsO7IT+/1Or/TdUz5RcKUxZw+QLYAWC+QqHgfsBACCEWztnZGRUVFQCAU6dO4s6d2wbv9fJ6sGBL\nrVYjPX0XVq5cxrovICCQMxnHxSXCzs6OtYe9oZXZTz01B089NcfYLlm8v//9FUyf/gRSU5cDAKZM\nSeGs822NTBkZvwXAA8B7crn8vfttyQqFonGH7xJCSDNhGIZzoU9mZgZ27tzOGrmmpMzEvHkvAAAC\nA9tg164dSEiIxY4d25CZyb0wy93dHVOmTNd9fPbsaYwfPwnh4Z1YI1c/P+7NQUaOHI2RI0c3Q4+t\nn4+PD55//iW+w7A4pjwzfgkAfSUJIc1Gq9WitLQEDMPA05NdK7pnz06sXLlM7/Q1pVKJWbOexnvv\nfci6/8SJ4/j++290H9eX1zy8/72DgwM0Gg0YhsGIEaMRFtYRp06dwoYNa3RbIbZrF4r58/+G3r37\n6j6voqICo0aNxYABSc35JSCtHG36QQhpVvWn1yiVSojFYs6VtWlpW7Bo0de6EWtRURFqa2sxe/Zc\nLFjwBev+a9euYd26NQAAsVgMiUSKdu1C4e0t44xh3LgJiI3trRu5urt7wM7OjnVfTEwvpKenIzIy\nBhERnTBmzHi8/vpbSEvbDI1Gg+HDR+kdMJOVdQydO3cx9UtDiEGUjAkhnOrLax4cXaqEVOqFnj3Z\nq383bVqP9957CyqVUm+17LRpM/DNNz+w7i8pKcbx43/pnp/Wl9eEh3fijGXChEkYNmw4PD0ljTp9\nLSAgEAEBgY+9z8/PH0VFecjJyUZkZFcAgKOjI8aMGc+6V6E4j/LyckRHxzz2dQkxFiVjQlqB6upq\n1qk1SqUSAQGBrN2nAGD9+jV49tnZeHTv+rFjx3MmYwcHR9jZ2SEsTA5PT0/diLRXL/Y+wQAwYcJk\nTJo0tdG1uu7uHnB392jUvcaKj4/Htm17sGnTesTFJUAikepdLykpxoED+yGVSpGQ0L9FYiCEkjEh\nVqikpBhnz57Vbd5Qn2CDgtpi5szZrPt37NiG2bNnsNoHDx7KmYz9/AIQG9vnkX1/pejcuTNnPMOG\nDed8HUPs7S3rR090dAy6deuBzMwMlJSUwN7eHgzDoLa2Fi4uLhg6NNniYia2hf51EWIB8vPzceDA\n3kdW/6oQEtIOr7/O3lfnr7+OYepU9lRqXFwCZzIODW2PCRMms84IDwlpxxlP7959sHHjtqZ3zIrY\n2dk1uGUjIS2JkjEhLeDOndtITV2pd9aqSqVESEg7fPfdf1j3X7p0Ec89x64rjY7uyZmMO3QIw4sv\nvswauRoqrenUqTN+/PHnpneMENIiKBkTcp9Wq4VarebcQ/fWrZv49tsvH5oSriuvads2GOvWbWHd\nn59/Dx9//L5em0AgYD2DrdehQxj+/e+v9DaEqP87l7Ztg/HOOx8Y30lCiEWiZExsUn15TUWFGqGh\nHVjXb926iTfeeEVvQ4iioiJ06BCGAweOsu5Xq9X47bcHI8v68hoXFxfO9w8NbY+lS1fpjVwNldcA\ngLe3t03uuNQSrl27itxcBbp1i6bdm4jNoGRMLNqjp9c4O9uhS5eerPvu3LmNlJTJusRaX14TFNQW\nWVmnOV97+/a0+1sUSiCVeiE0tANCQ9tz3tu2bTDS0zN1ifVxp9e4urph8OBhRvaWNESlUuLll/+G\n/fv3orS0FD4+vkhOHoHPPltIi6uI1aN/wcQsGIaBWq1mPUOtqqrS22qw3r179xAX1xPFxcV6U7sy\nmQxnzlxi3e/k5ISrV69AKpXqldf4+3PXmvr7ByA39zrc3NwbVV4jEolosweevfTSfGzbtlX38b17\neVi8+Fc4O4vx4Yef8hgZIU1HyZiYRKvV4uLFXL1pXpVKhYoKNV599Q3W/cXFRejYMZjVLhaLOZOx\nu7s7fH39EB7eSW+qNySkDWc8EokUly/fanT8QqEQHh6ejb6f8OvCBQUyMvZzXtuxIw3vvPPB/XOJ\nCbFOlIwJgLrkum9fOmvkWlpayrn6V6PRIC6OvRORQCDAyy+/xhpturt7IClpsF5ZTf0CJa7N/p2c\nnDif3drKEWvEOGfPnkZZWRnntfz8eygpKaHnx8SqUTK2YUuX/oHCwkJdgi0vL0FeXj7WrdvCWkgk\nEAiQkjIJGo2G9Tr/+teXEIvFem2Ojo6YM+cZuLi4sspruAiFQixfvqb5OkdaRE5ONn7++b+4cuUS\nPDw8MWLEaEydmsJ3WIiOjoGnpwRFRSrWtcDANvD0pFkOYt0oGVsYrVYLgUDAeSzcl1/+G3l5d3VT\nwvXlNfv2HeYsx3nvvbdQWlqi1yYQCFBcXASp1IvV/t57H8LJyVmvvEYqNbxY6bPPFjahp8TSHD58\nCPPmzcGtWzd1bXv27MKlSxfx9tvvN/CZLS8oqC0GDRqM1atX6bULBAKMHj2OFnARq0f/gltQfXmN\nTObD+cPirbf+iRs3ruumhIuK6hJsdrYCPj4+rPt/++1n5OXd1X1cX15TXl7GmYy//vp7ODmJdEk1\nLCwY1dVCg+U1zz33QhN6SyyRRqNBauoKHD/+F8RiF0ydmoKICO7DGH744Ru9RAwANTU1WLbsT8yd\nO4/z36Q5ffXV9xCLXbFnz07k599D27YhGDNmHF555XXeYsrLy8MPP3yDc+fOwdnZGYMGDcGMGTM5\nf5kmpCGUjBuhtrYWhYWFuvKaLl2iOE+Oee652VAoFLrEWl9ec+zYKQQHh7Du3717J65cuawrr6k7\nFq49amqqOeNYvHgZRCKnRpfXjBo1Ru9jqZSet7Ym5eXleOqp6di3L13XtmzZH3j11Tfw7LPP693L\nMAxyck5xvk5+/j2sX78Gzzwzr0XjfRyRSISFC7/WrcqXyXx4XbR18+YNzJgxBWfPPiid2759K7Kz\nT2Dhwm8a+ExC2FpVMjZUXjNgQBLnytrJk8fi5MnjrPKa/fuPIDw8gnW/QqHQldd06NDxfv2q1OBI\ndP36rRCLxY0ur+nRg11fS4ghn3/+mV4iBoDi4mJ8882XGD58FNavX4NDhw6itlaL7t27w8HB8I8D\nd3f3lg630cRiMWsNAx+++eYLvUQM1D1mWr16JWbMeArdunXnKTJijaw6GSuVhSgoKNA9O61PsBMn\nToavL3uP3uTkgTh+PIvVnpa2m/OMUpFIBD8/f0RGRsLV1eOhnZS4fzDt2rXfYOLl4u8f0Oh7CTHW\nkSOHONsLCvIxefI4XLqUq2tLT98Fb28Z5/1hYR0xbtzEFonRmp06lc3ZrlarsXXrJkrGxCgWlYwv\nXFDg1q2brJHr008/y7ml4ZNPTsPRo4dZ7V27duNMxt269YCnp0T3DLW+zCYwkLt29c8/VwJofDmN\nMYmYkJZm6HEHAL1EXK+gIB+BgUG4deuGri0gIABvvvkuRCJRi8RozRpaNObg4GDGSIgtaNFkfODA\nAfz1V7bexhBKpRKvvPIaunZl/9b49tuvsabVAGDAgCTOZDxkyDDI5eF6K38lEikiIrjPXF2w4Ium\nd4oQKxEZ2Y1z9GZvb89ZwgYAnTt3xquvvo6zZ8/Aw8MDs2bNhUzGPWJu7WJj++DYsSOsdolEyrmR\nDSENadFk/OWXX2L9+vWs9gkTJnEm40mTpqJv37hHNoaQol27UM7Xf/HFl5s9ZkJsxUsvvYKsrKM4\nf/6crk0oFCI0tAMuXDjP+TmOjo5ISXnSXCFatVdffQM5Odl6Awg3Nze8+OI/0LYte7c5QhrSosl4\n/vz5SEoapkusD59ew2Xy5GktGQ4hrUpISAhWrFiLH3/8DufPn4NY7IKkpMEIDAzCzJlTUV3NnsZO\nTBzIQ6TWSSwWY/nyNUhNXYG//joGsdgZkyZNQ1RUV7378vPz8d//fo9r167Cy8sLKSkzERkZxVPU\nxFIJDJ2v2kwYWyilsZUtGG2hH7bQB4D/frzzzhtYvPgXVFVVAahb7zB27Hh8//1PjVrZD/Dfh+bS\nkv3IycnGM8/MwqVLF3VtUqkU//d/nzb7VLYtfD9soQ8AIJO5GV1oblELuAgh5vHxxwuQnDwcmzdv\nRG2tFgMHJmHo0OG0WUUzW7hwgV4iBgClUolvv/0S48ZNpMMtiA4lY0JaqX79EtCvXwLfYdisyspK\nZGX9xXktN/cC0tI2Y8yY8WaOiliqxs1HEUIIMQrDMGjoMWALPyIkVoaSMSGEtABnZ2f06BHNea19\n+zAkJ480c0TEklEyJsSCXLigwNatm5Gfn893KKQZvPzya6zSTE9PTzz//Iu0kQrRQ8+MCbEAeXl3\n8fLLL+LgwQNQq8shk/lg+PCRWLDgC9rZzUyuXr2CHTu2ISAgAMnJI5vl6969ezTWrduC//3vR1y7\ndhVSqRemT5/Buf0uad0oGRNiAV566Xns2bNT93F+/j0sXvwr3N098O67/8djZLZPq9Xi5Zf/hk2b\nNqC4uAhA3Za6n376OWJiYnX31dbWYtWqZcjIyIBQKMTAgUkYO3bCY1egBwQE4oMPPm7RPhDrR9PU\nhPDsxInjyMzM4Ly2fftWaLVaM0fUunz88cdYsmSxLhEDQHb2Sbz22suoqakBUHcu9NNPz8RLLz2P\n1NTlWLlyKZ57bg5efHEeLcQizYKSMSE8O336FCorKziv5efn687FJi1j69atnO1nzuRgzZpVYBgG\nv/zyX2zZslHvOsMwSE1dgY0b15kjTGLjKBkTwrM+ffoZPJYzKCgILi4uZo6odVEqlQavLV36B+Lj\nY/HRR+9zXtdqtdizZ1dLhUZaEUrGhPCsQ4cwDBw4mNVub2+PceMm0a5YLSwsLIyzXSgU4siRQ7hw\n4TznPt71tFqapiZNRwu4CLEA3377I9zd3ZGevhuFhYUIDg7BhAmTMH/+3/gOzeY999xzyMzMRFFR\nkV67UGjXqOf1CQmJLRUaaUWalIzlcnksgAUKhWJAM8VDSKvk5OSEhQu/QUVFBUpKiuHl5d3g4fWk\n+YwaNQpffbUIv/32Cy5cOA93d3d4e/sgM/PAYz939OhxmDBhshmiJLbO5P/b5XL5awBmAChrvnAI\nad2cnZ3h7OzMdxitzogRozFixGhotVoIhUIcPLgfkycf1q2mfpiLiyuSkgYjIaE/UlKebPQpVy0h\nMzMD+/alQywW4x//+BsAOnjCWjXlV++LAMYD+LOZYiGEEF7VJ9a+feMRExPLWXI2Y8aT+OijBeYO\nTY9Go8Hzzz+DrVs36Y7B/P33n/Hmm+/RufBWyuRf6RQKxVoAmmaMhRBiJWpqavDLL7/g888/RVra\nZl5rbRmGwZYtm/DWW6/hgw/exunTOU1+TYFAgC+++BZ9+8bBwcEBAODu7o6JE6fg3Xc/bPLrN9W3\n336JdetW6xIxANy6dQsff/wBCgoKeIuLmE7QlP+J5HJ5CIDlCoWij4FbaJkhITbm+PHjmDNnDk6e\nPAkAsLOzQ0JCAlJTU+Hl5WXWWGpqajBt2jSsX78etbW1AOqS5uuvv4633nqrya/PMAzS09OhUCgw\ncOBAyOXyJr9mc0hMTMT+/fs5r33yySfN0nfSJEaXQLT4CpH8/NKWfosWJ5O5UT8shC30AbDefjAM\ng/nzX9AlYqBum8j09HQ8++zz+PHHn8wazzfffIE1a9botZWUlGDBggWIi0tCRESnx77G474XkZEx\niIys20vaUr5nxcUlBq/du6e0mDiNZa3/XzxKJnMz+nOaY+UBjX4JaSWOHj2MrKxjnNcOHcpAZWWl\nWe8yZy4AAA/RSURBVOPJyOBe8VxaWopVq5abNRZzCg+P4Gx3dHREfDyVWlmjJiVjhUJxVaFQ9G2u\nYAghlu3OndvQaLiXipSVlaKiwrxbd9bUGN6Mo6Fr1m7evBcREhLKah86dDgSEvqbPyDSZLQDFyGk\n0QYMSEJAQCDnNbk8Ap6eErPG06VLJGe7vb09EhJsd/uDTp064/ffl2DKlGmIjOyK3r374P3338d/\n/vML36ERE9GuAoSQRvPw8MSkSVOxaNHXugVTQN2iqaeeetrsW3f+7W8vIzPzIE6fPqXXPmLEGAwe\nPNSssZhbp05d8N13/9V93NLPW0+cOI6jRw8jIqIT4uMTaZvWZkbJmBBilLfeeg9+fv7Yvn0z7t7N\nQ1BQW6SkPInhw0eZPRZfX1+sWLEWixZ9hZycUxCJRIiP74/nnnuekkUzKSsrw/z5c7FvXzoqKtRw\ncHBAr1598N13P6JNmyC+w7MZTSptagTGVlbGUT8sgy30AbCNfthCHwDqx+O8+OI8rFixlNU+cOAg\nrFixtlnfy4a+F0b/JkjPjAkhhHBSq9XYv38v57VDhzJx/vw58wZkwygZE0II4VRSUmzwvOeKCjWu\nXr1i5ohsFz0zJoSYzZUrl/H777+gsDAfJSWl8PX1g6+vL2bPngup1Ly7d5HHk8l80L59e5w5c5p1\nzc/PH7GxvXmIyjZRMiaEmMWGDWvx1luvIT//HuvasmV/4rPPPsfQocN5iMw0J05kYfPmjRAIBBg3\nbiI6d+7Cd0jNzs7ODpMnT8cnn3yA6mr9uu1Ro8ZAIpHyFJntoWRMCGlxNTU1+OKLf3EmYgC4efMG\nPv30QwwcOFh3MIOlYhgGb7/9GpYt+xNqdd0mJ7/++j88/fSzeOut93mOrvnNm/cCRCJHrF69Cjdu\nXIePjw+Sk0fi5Zdf4zs0m0LJmBDS4rZvT3vsYp9z585i8+YNGDduopmiMs26davx228/69VZl5WV\n4ccfF6Fv33j07z+Qx+haxuzZz2D27Gd05z2T5kdfVUJIi6uqatye1cXFxS0cSdNt356ml4jrVVVV\nYePG9TxEZD6UiFsOfWUJIS0uOXkk2rVj76X8MF9fP4wePdZMEZmuocMwGvtLByGPomRMCDHZ3r17\n8PTTT2LYsIFISZmMNWtWct4nFosxd+48uLpyHy3n6OiIlJQnrWJFdWRklMFr3bv3MGMkxJbQM2NC\niElSU1Px7LPPQqVS6dr270/HrVu38eKL/2Dd//TTz6JjRzlWrVqBq1cvQ6kshFjsAn//AIwaNQaT\nJ08zZ/gme+65F7B79w5kZf2l1963bxyeeGIWT1ERa0fbYTaCDW3RZvX9sIU+ANbfD4ZhMH78cBw8\neJB1LTi4HfbtOwSxWMxDZMYz5XuhUinx5Zef48SJLAiFQkRH98Irr7wGV1fXx36uRqNBRYUarq5u\nzbp/trX/mwJsow+Aadth0siYEGK0goICnDp1ivPatWtXsH//XgwbZj01w8aSSKT46KPPjPqcqqoq\nvP/+29i7dxeUShVCQtph2rQUzJo1t4WiJNaEkjEhxGjOzk4Qi8UoLWWPYuzt7SGV0mYQj3rxxflY\nty5V9/HJkyqcO3cGAoEQTz01h8fIiCWgBVyEEKO5urohPj6e81r37j0QExNr5ogsm0JxHrt2bWO1\nV1VVYeXKZTxERCwNJWNCiEkWLlyI6Oieem1hYR3x/vsf01nCjzh4cD/nLAIAXL9+jbXVJGl9aJqa\nEGKS4OBgbNy4HatWLUdu7gX4+fnhySdnW83CLXMKC5PDwcEBNTU1rGteXl4WvwUoaXmUjAkhJnNw\ncEBKypN8h2Hx4uIS0KtXbxw8eIB1LSlpKM0kEJqmJoSQliYQCPDVV4sQH58IR0dHAHUrsqdPfwJv\nv/0ez9ERS0AjY0IIMYOQkHZYs2YTjh07gtzcC0hI6I82bYL4DotYCErGhBBiRjExsbTanLDQNDUh\nhBDCM0rGhBBCCM8oGRNCCCE8o2RMCCGE8IySMSGEEMIzWk1NCCGEU07OKaxcuRRqtRrduvXAtGkz\naLewFkLJmBBCCMt//rMICxcuQElJCQBgyZLFWLs2FUuWrISrqxvP0dkemqYmhBCi5+7dO/j22690\nibheZmYGFiz4hKeobBuNjAkhhOhZvnwJCgryOa8dPXrYzNE0Xl7eXfz0039w9+5d+Pn5Ye7cefD1\n9eU7rEahZEwIIUQP1+lS9TQaw9f4dODAfvz97/Nx48Z1Xdv69Wvx7bc/oG/fOB4jaxyapiaEEKJn\n1KixcHV15bzWtWt3M0fzeAzD4N///kQvEQPA9etX8e9/f8pTVMahZEwIIURPREQnTJs2A3Z2dnrt\n4eGd8NJLr/AUlWGXLl1EVtYxzmtZWcdw7dpV8wZkAqOnqeVyuRDADwCiAFQBeFqhUFxq7sAIIYTw\n5+OP/4XIyK7Yvj0N5eXliIiIwPz5L8LX14/v0Fhqamqg1Wo5r9XW1kKj0Zg5IuOZ8sx4LABHhULR\nVy6XxwL44n4bIYSQRmIYBlu3bsa2bVtRU1ONHj16YubM2RCJRHyHBqDuDOapU1MwdWoK36E8llwe\njqiobjh58jjrWteu3REa2p6HqIxjyjR1PwDbAEChUBwB0LNZIyKEkFbgrbf+iblzZ2LlyqVYuzYV\n77zzOqZPnwC1Ws13aFZHKBTihRdegre3TK9dJvPBCy+8BIFAwFNkjWfKyNgdwMPFZ7VyuVyoUCi4\n5wgIIYToOXToIJYu/YM1fXrgwH4sWvQ1XnvtLZ4is16jR49DcHAIFi/+FXl5d+Hn54+ZM2chKsry\nFpxxMSUZlwB4ePuVBhOxTGYbO7VQPyyHLfQBsI1+2EIfAPP3Y+/eHaisrOS8lp2dZXI8tvD9aEof\nBg1KwKBBCc0YjfmYkowPAvj/du4uRqq7jOP4F5ZaqmLjBdELjb2pT+qFBorawIKvbSoFUwiplLcW\nURETovZCG9ReGBtNiEZIqhcrFRoQoRRE2oQKEXnZmKqJihp9DF4bxagUaQXsrhczW5bdnRl29uU/\nB76fhGTn/Hc2zzMPc35zzsycxcDTEXEXcLrZL589e76dujrKzJkz7KNDXA89wPXRx/XQA5Tp48KF\nkYMY4OLFy23Vcz3M43roAdp7QdFOGB8A7o6I3vrttW38DUnXmb6+Pvbu3c2JEz8DYP78BTzwwIph\nX48R3HvvfWzfvo1Lly4NW5sz590FKlJpow7jzOwHNkxALZIqqq+vj/XrP87Bg/tf3bZv3x6OHDlC\nT8/3DeQhursXsHz5Snbu3HHVV3Lmzu1m48ZHClamUrwcpqQx27PnB1cF8YBnn/0Ru3d/iFWrHipQ\nVWfbvPnbzJ07n6NHn+fSpYvMmnUn69atZ/r06aVLUwGGsaQxO3nyeMO1U6eOG8YjmDJlCkuXLmPp\n0mWlS1EH8HKYksasv7+/ydokFiJVlGEsacy6uxt/nWTevPmTWIlUTYaxpDFbvnwlixZ9dNj2hQsX\nsWLF6gIVSdXie8aSxqyrq4uenh3s2vUUvb0n6O+vHRGvXLmGadPczUit+CyRNC66urpYs2Yta9Z4\n6QFptDxNLUlSYYaxJEmFGcaSJBVmGEuSVJhhLElSYYaxJEmFGcaSJBVmGEuSVJhhLElSYYaxJEmF\nGcaSJBVmGEuSVJhhLElSYYaxJEmFGcaSJBVmGEuSVJhhLElSYYaxJEmFGcaSJBVmGEuSVJhhLElS\nYYaxJEmFGcaSJBVmGEuSVJhhLElSYYaxJEmFGcaSJBVmGEuSVJhhLElSYW2HcUQsiYhd41mMJEk3\nomnt3CkitgD3AL8e33IkSbrxtHtk3AtsAKaMYy2SJN2Qmh4ZR8Q64HNDNj+cmXsj4v0TVpUkSTeQ\nKf39/W3dsR7G6zPzwXGtSJKkG4yfppYkqbCxhHF//Z8kSRqDtk9TS5Kk8eFpakmSCjOMJUkqzDCW\nJKkww1iSpMLauhxmKxGxBFiWmStHWPsk8Cngf8DXMvO5iaihXRFxC7ATmAmcBx7KzH8M+Z0twLz6\nej9wf2a+ONm1jiQipgLfAd4JXAQ+kZl/GbS+GPgKtcf/ycz8XpFCW7iGPj4PrAPO1jetz8w/T3qh\n1yAi3gt8IzM/MGR7JWYBTXuoxBwi4ibgSeBtwM3U9j2HBq1XYhbX0EdV5tEF9ABvp7YP/XRm/mHQ\nesfP4xp6GNUsxj2Mm123OiLeDGwE7gRuAU5FxJHMvDTedYzBBuC3mfnViPgY8GWGX4VsNnBPZv5z\n0qtr7X7gNZk5t74D/WZ928AT+VvAHOAloDcifpyZfy9WbWMN+6ibDazOzI6+PnpEfAFYBfxnyPbK\nzKJRD3WVmAOwEjibmasj4o3Ab4BDUK1Z0KSPuqrMYxHQl5ndEfE+4HGqt59q2EPdqGYxEaepm123\n+j1Ab2Zerh9JnqF25NNJ5gGH6z8fBj48eLF+xHY70BMRpyJi7STX18qr9WfmC9T+Qw+4AziTmecy\n8zJwClgw+SVek2Z9QO0F3aaIOBkRj052caNwBljK8OdDlWbRqAeozhyeBh6r/zyV2hHXgCrNolkf\nUJF5ZOZBYH395m3AvwYtV2IeLXqAUc6i7SPjNq9bPQM4N+j2eeDWdmsYqwY9/A0YOOU8Un2vBbZS\ne+U2DTgWEb/KzN9NZK2j8Aau1A/wSkRMzcy++lrHPP4tNOsDYDfwBLUeDkTEfZ32lgdAZu6PiNtG\nWKrMLJr0ANWZwwWAiJhBLdC+NGi5SrNo1gdUZB4AmflKRGwHlgDLBi1VaR6NeoBRzqLtMM7MbcC2\nUd7tRWqBPGAGw19NTJqReoiIZ7hS4wzg30Pu9hKwNTP/W//9nwLvAjoljIc+xoMD7Bwd9Pi30KwP\ngC0D79NHxHPALKAjdzoNVGkWzVRmDhHxVmA/8ERm/nDQUqVm0aQPqNA8ADLz4Yj4IvBCRNyRmS9T\nsXk06AFGOYsJ+QBXE78AHo+Im4Hp1E5H/H6Sa2ilF1gI/BL4CHBiyHoAuyNiNtAFdAPbJ7PAFnqB\nxcDTEXEXcHrQ2p+A2+vvNV2gdupn8+SXeE0a9hERtwKnI+Id1F4cfZDRvzAsrUqzGFGV5hARbwJ+\nAnwmM48NWa7MLJr1UbF5rAbekplfB14G+rhyeeVKzKNZD+3MYqLC+KrrVtc/VXYmMw9FxFbgJLX3\nOzZ12Ie3AL4L7IiIk9Q+xbsChvXwFPBz4DKwPTP/WKza4Q4Ad0dEb/322oh4EHh9ZvZExCPA89Qe\n/22Z+ddShbbQqo9HgWPUZnQ0Mw83+kMdYuBJWsVZDBiph6rMYRO1U52PRcTAe649wOsqNotWfVRl\nHvuA7RFxHLgJ+CywJCKq9Nxo1cOoZuG1qSVJKsyLfkiSVJhhLElSYYaxJEmFGcaSJBVmGEuSVJhh\nLElSYYaxJEmF/R/V8WNpm8o/vgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x116ef9cd0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above version uses a linear kernel; it is also possible to use *radial basis function* kernels as well as others."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"est = SVC(kernel='rbf', probability=True)\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRMQBBdIiIiIiIg78D0qA8YsgEcJsAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x114be6310>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nearest Neighbor\n",
"\n",
"Nearest Neighbor uses the notion of similarity to assign class labels; it is based on the smoothness assumption that points which are nearby in input space should have similar outputs. It does this by specifying a similarity (or distance) metric, and at prediction time it simply searches for the ``k`` most similar among the training examples to a given test example. The prediction is then either a majority vote of those ``k`` training examples or a vote weighted by similarity. The parameter ``k`` specifies the smoothness of the decision surface. The decision surface of a k-nearest neighbor classifier can be illustrated by the [Voronoi tesselation](http://en.wikipedia.org/wiki/Voronoi_diagram) of the training data, that show you the regions of constant respones.\n",
"\n",
"Yet Nearest Neighbor differs fundamentally from the above models in that it is a so-called non-parametric technique: the number of parameters of the model can grow infinitely as the size of the training data grows. Furthermore, it can model non-linear decision boundaries, something that is important for the first two datasets: moons and circles."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"\n",
"est = KNeighborsClassifier(n_neighbors=1)\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1172ccc50>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If we increase ``k`` we enforce the smoothness assumption. This can be seen by comparing the decision boundaries in the plots below where ``k=5`` to those above where ``k=1``."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"interact(lambda k=1: plot_datasets(KNeighborsClassifier(n_neighbors=k)), k=(1, 10))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSVaRxQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11994ee90>"
]
}
],
"prompt_number": 23
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Naive bayes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.naive_bayes import GaussianNB\n",
"\n",
"est = GaussianNB()\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1170d0f90>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Decision Trees"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.tree import DecisionTreeClassifier\n",
"\n",
"est = DecisionTreeClassifier()\n",
"plot_datasets(est)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niA8qpEVEREREfFAhLSIiIiLiw/8AlM8KmMatDsYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x115fd3550>"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.tree import export_graphviz\n",
"from sklearn.externals.six import StringIO \n",
"from IPython.display import Image\n",
"import pydot \n",
"\n",
"dot_data = StringIO() \n",
"export_graphviz(est, out_file=dot_data, feature_names=\"XY\")\n",
"graph = pydot.graph_from_dot_data(dot_data.getvalue()) \n",
"Image(graph.create_png())"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAABDgAAAKrCAIAAACbUKoPAAAABmJLR0QA/wD/AP+gvaeTAAAgAElE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\nAAAAAABY5/8Dv6Uqzs+Du1IAAAAASUVORK5CYII=\n",
"prompt_number": 26,
"text": [
"<IPython.core.display.Image at 0x115f8a9d0>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ensembles"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"interact(lambda n_estimators=1: plot_datasets(RandomForestClassifier(n_estimators)), n_estimators=(1, 1000));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAELCAYAAAD0s2HQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB/cTi8dz2nYuS7wtRCjF
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment