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"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Scikit-Learn, Regression, and PCA, and still more regression."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"from collections import defaultdict\n",
"import json\n",
"\n",
"import numpy as np\n",
"import scipy as sp\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"\n",
"from matplotlib import rcParams\n",
"import matplotlib.cm as cm\n",
"import matplotlib as mpl\n",
"\n",
"#colorbrewer2 Dark2 qualitative color table\n",
"dark2_colors = [(0.10588235294117647, 0.6196078431372549, 0.4666666666666667),\n",
" (0.8509803921568627, 0.37254901960784315, 0.00784313725490196),\n",
" (0.4588235294117647, 0.4392156862745098, 0.7019607843137254),\n",
" (0.9058823529411765, 0.1607843137254902, 0.5411764705882353),\n",
" (0.4, 0.6509803921568628, 0.11764705882352941),\n",
" (0.9019607843137255, 0.6705882352941176, 0.00784313725490196),\n",
" (0.6509803921568628, 0.4627450980392157, 0.11372549019607843)]\n",
"\n",
"rcParams['figure.figsize'] = (10, 6)\n",
"rcParams['figure.dpi'] = 150\n",
"rcParams['axes.color_cycle'] = dark2_colors\n",
"rcParams['lines.linewidth'] = 2\n",
"rcParams['axes.facecolor'] = 'white'\n",
"rcParams['font.size'] = 14\n",
"rcParams['patch.edgecolor'] = 'white'\n",
"rcParams['patch.facecolor'] = dark2_colors[0]\n",
"rcParams['font.family'] = 'StixGeneral'\n",
"\n",
"\n",
"def remove_border(axes=None, top=False, right=False, left=True, bottom=True):\n",
" \"\"\"\n",
" Minimize chartjunk by stripping out unnecesasry plot borders and axis ticks\n",
" \n",
" The top/right/left/bottom keywords toggle whether the corresponding plot border is drawn\n",
" \"\"\"\n",
" ax = axes or plt.gca()\n",
" ax.spines['top'].set_visible(top)\n",
" ax.spines['right'].set_visible(right)\n",
" ax.spines['left'].set_visible(left)\n",
" ax.spines['bottom'].set_visible(bottom)\n",
" \n",
" #turn off all ticks\n",
" ax.yaxis.set_ticks_position('none')\n",
" ax.xaxis.set_ticks_position('none')\n",
" \n",
" #now re-enable visibles\n",
" if top:\n",
" ax.xaxis.tick_top()\n",
" if bottom:\n",
" ax.xaxis.tick_bottom()\n",
" if left:\n",
" ax.yaxis.tick_left()\n",
" if right:\n",
" ax.yaxis.tick_right()\n",
" \n",
"pd.set_option('display.width', 500)\n",
"pd.set_option('display.max_columns', 100)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"states_abbrev_dict = {\n",
" 'AK': 'Alaska',\n",
" 'AL': 'Alabama',\n",
" 'AR': 'Arkansas',\n",
" 'AS': 'American Samoa',\n",
" 'AZ': 'Arizona',\n",
" 'CA': 'California',\n",
" 'CO': 'Colorado',\n",
" 'CT': 'Connecticut',\n",
" 'DC': 'District of Columbia',\n",
" 'DE': 'Delaware',\n",
" 'FL': 'Florida',\n",
" 'GA': 'Georgia',\n",
" 'GU': 'Guam',\n",
" 'HI': 'Hawaii',\n",
" 'IA': 'Iowa',\n",
" 'ID': 'Idaho',\n",
" 'IL': 'Illinois',\n",
" 'IN': 'Indiana',\n",
" 'KS': 'Kansas',\n",
" 'KY': 'Kentucky',\n",
" 'LA': 'Louisiana',\n",
" 'MA': 'Massachusetts',\n",
" 'MD': 'Maryland',\n",
" 'ME': 'Maine',\n",
" 'MI': 'Michigan',\n",
" 'MN': 'Minnesota',\n",
" 'MO': 'Missouri',\n",
" 'MP': 'Northern Mariana Islands',\n",
" 'MS': 'Mississippi',\n",
" 'MT': 'Montana',\n",
" 'NA': 'National',\n",
" 'NC': 'North Carolina',\n",
" 'ND': 'North Dakota',\n",
" 'NE': 'Nebraska',\n",
" 'NH': 'New Hampshire',\n",
" 'NJ': 'New Jersey',\n",
" 'NM': 'New Mexico',\n",
" 'NV': 'Nevada',\n",
" 'NY': 'New York',\n",
" 'OH': 'Ohio',\n",
" 'OK': 'Oklahoma',\n",
" 'OR': 'Oregon',\n",
" 'PA': 'Pennsylvania',\n",
" 'PR': 'Puerto Rico',\n",
" 'RI': 'Rhode Island',\n",
" 'SC': 'South Carolina',\n",
" 'SD': 'South Dakota',\n",
" 'TN': 'Tennessee',\n",
" 'TX': 'Texas',\n",
" 'UT': 'Utah',\n",
" 'VA': 'Virginia',\n",
" 'VI': 'Virgin Islands',\n",
" 'VT': 'Vermont',\n",
" 'WA': 'Washington',\n",
" 'WI': 'Wisconsin',\n",
" 'WV': 'West Virginia',\n",
" 'WY': 'Wyoming'\n",
"}\n",
"abbrev_states_dict = {v: k for k, v in states_abbrev_dict.items()}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###First, a bit about scikit-learn\n",
"\n",
"The structure of scikit-learn:\n",
"\n",
"Some of the following text is taken from the scikit-learn API paper: http://arxiv.org/pdf/1309.0238v1.pdf\n",
"\n",
">All objects within scikit-learn share a uniform common basic API consisting of\n",
"three complementary interfaces: an estimator interface for building and \ufb01tting\n",
"models, a predictor interface for making predictions and a transformer interface\n",
"for converting data.\n",
"\n",
">The estimator interface is at the core of the library. It de\ufb01nes instantiation\n",
"mechanisms of objects and exposes a ***fit*** method for learning a model from\n",
"training data. All supervised and unsupervised learning algorithms (e.g., for\n",
"classi\ufb01cation, regression or clustering) are o\ufb00ered as objects implementing this\n",
"interface. Machine learning tasks like feature extraction, feature selection or\n",
"dimensionality reduction are also provided as estimators.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"An example along these lines:\n",
"\n",
" clf = LogisticRegression()\n",
" clf.fit(X_train, y_train)\n",
" \n",
"If one changes classifiers, say, to a Random Forest classifier, one would simply replace `LogisticRegression()` in the snippet above by `RandomForestClassifier()`.\n",
"\n",
">The **predictor** interface extends the notion of an estimator by adding a predict\n",
"method that takes an array `X_test` and produces predictions for `X_test`, based on\n",
"the learned parameters of the estimator. In the case of\n",
"supervised learning estimators, this method typically returns the predicted labels or values computed by the model. Some unsupervised learning estimators may also implement the predict interface, such as k-means, where the predicted values are the cluster labels.\n",
"\n",
" clf.predict(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">Since it is common to modify or \ufb01lter data before feeding it to a learning algorithm, some estimators in the library implement a **transformer** interface which de\ufb01nes a transform method. It takes as input some new data `X_test` and yields\n",
"as output a transformed version of `X_test`. Preprocessing, feature selection,\n",
"feature extraction and dimensionality reduction algorithms are all provided as\n",
"transformers within the library.\n",
"\n",
"This is usually done via the `fit_transform` method. For example, to do a PCA:\n",
"\n",
" pca = RandomizedPCA(n_components=2)\n",
" train_x = pca.fit_transform(train_x)\n",
" test_x = pca.transform(test_x)\n",
" \n",
"The training set here is \"fit\" to find the PC components, and then then transformed. Since `pca.fit()` by itself changes the `pca` object, if we want to transform other data using the same transformation we simply call `transform` subsequently."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, for now, there is the concept of a meta-estimator, which behaves quite similarly to standard estimators, but allows us to wrap, for example, cross-validation, or methods that build and combine simpler models or schemes. For example:\n",
"\n",
" from sklearn.multiclass import OneVsOneClassifier\n",
" clf=OneVsOneClassifier(LogisticRegression())\n",
"\n",
">In scikit-learn, model selection is supported in two distinct meta-estimators,\n",
"GridSearchCV and RandomizedSearchCV. They take as input an estimator (basic\n",
"or composite), whose hyper-parameters must be optimized, and a set of hyperparameter settings to search through.\n",
"\n",
"We shall use this latter functionality soon (and you have seen an example of it in HW2).\n",
"\n",
"From: http://nbviewer.ipython.org/urls/raw.github.com/jakevdp/sklearn_scipy2013/master/rendered_notebooks/02.1_representation_of_data.ipynb\n",
"\n",
">Most machine learning algorithms implemented in scikit-learn expect data to be stored in a two-dimensional array or matrix. The arrays can be either numpy arrays, or in some cases scipy.sparse matrices. The size of the array is expected to be [n_samples, n_features]\n",
"\n",
"To get a grip on how to do machine learning with scikit-learn, it is worth working through the entire set of notebooks at:\n",
"https://github.com/jakevdp/sklearn_pycon2013 . These go relatively fast, are fun to read.\n",
"The repository at https://github.com/jakevdp/sklearn_scipy2013 has more advanced notebooks. The `rendered_notebooks` folder here is useful with worked-out examples."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PART 1: Linear Regression with a touch of PCA.\n",
"\n",
"We'll see an example of the concepts mentioned above by considering a linear regression problem. Let us load the census data set."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"census_data = pd.read_csv(\"./data/census_demographics.csv\")\n",
"census_data.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"
\n",
"
\n",
" \n",
" \n",
" | \n",
" state | \n",
" per_black | \n",
" per_hisp | \n",
" per_white | \n",
" educ_hs | \n",
" educ_coll | \n",
" average_income | \n",
" median_income | \n",
" pop_density | \n",
" vote_pop | \n",
" older_pop | \n",
" per_older | \n",
" per_vote | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" ALABAMA | \n",
" 26.5 | \n",
" 4.0 | \n",
" 66.8 | \n",
" 81.4 | \n",
" 21.7 | \n",
" 22984 | \n",
" 42081 | \n",
" 94.4 | \n",
" 3001712.500 | \n",
" 672383.600 | \n",
" 0.140 | \n",
" 0.625 | \n",
"
\n",
" \n",
" 1 | \n",
" ALASKA | \n",
" 3.6 | \n",
" 5.8 | \n",
" 63.7 | \n",
" 90.7 | \n",
" 27.0 | \n",
" 30726 | \n",
" 66521 | \n",
" 1.2 | \n",
" 475548.444 | \n",
" 58540.158 | \n",
" 0.081 | \n",
" 0.658 | \n",
"
\n",
" \n",
" 2 | \n",
" ARIZONA | \n",
" 4.5 | \n",
" 30.1 | \n",
" 57.4 | \n",
" 85.0 | \n",
" 26.3 | \n",
" 25680 | \n",
" 50448 | \n",
" 56.3 | \n",
" 3934880.535 | \n",
" 920515.710 | \n",
" 0.142 | \n",
" 0.607 | \n",
"
\n",
" \n",
" 3 | \n",
" ARKANSAS | \n",
" 15.6 | \n",
" 6.6 | \n",
" 74.2 | \n",
" 81.9 | \n",
" 19.1 | \n",
" 21274 | \n",
" 39267 | \n",
" 56.0 | \n",
" 1798043.148 | \n",
" 428944.934 | \n",
" 0.146 | \n",
" 0.612 | \n",
"
\n",
" \n",
" 4 | \n",
" CALIFORNIA | \n",
" 6.6 | \n",
" 38.1 | \n",
" 39.7 | \n",
" 80.7 | \n",
" 30.1 | \n",
" 29188 | \n",
" 60883 | \n",
" 239.1 | \n",
" 24009747.944 | \n",
" 4409953.704 | \n",
" 0.117 | \n",
" 0.637 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
" state per_black per_hisp per_white educ_hs educ_coll average_income median_income pop_density vote_pop older_pop per_older per_vote\n",
"0 ALABAMA 26.5 4.0 66.8 81.4 21.7 22984 42081 94.4 3001712.500 672383.600 0.140 0.625\n",
"1 ALASKA 3.6 5.8 63.7 90.7 27.0 30726 66521 1.2 475548.444 58540.158 0.081 0.658\n",
"2 ARIZONA 4.5 30.1 57.4 85.0 26.3 25680 50448 56.3 3934880.535 920515.710 0.142 0.607\n",
"3 ARKANSAS 15.6 6.6 74.2 81.9 19.1 21274 39267 56.0 1798043.148 428944.934 0.146 0.612\n",
"4 CALIFORNIA 6.6 38.1 39.7 80.7 30.1 29188 60883 239.1 24009747.944 4409953.704 0.117 0.637"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Clean the data set, and have it indexed by the state abbrev."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def capitalize(s):\n",
" s = s.title()\n",
" s = s.replace(\"Of\", \"of\")\n",
" return s\n",
"census_data[\"State\"] = census_data.state.map(capitalize)\n",
"del census_data[\"state\"]\n",
"census_data['State']=census_data['State'].replace(abbrev_states_dict)\n",
"census_data.set_index(\"State\", inplace=True)\n",
"census_data.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" per_black | \n",
" per_hisp | \n",
" per_white | \n",
" educ_hs | \n",
" educ_coll | \n",
" average_income | \n",
" median_income | \n",
" pop_density | \n",
" vote_pop | \n",
" older_pop | \n",
" per_older | \n",
" per_vote | \n",
"
\n",
" \n",
" State | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" AL | \n",
" 26.5 | \n",
" 4.0 | \n",
" 66.8 | \n",
" 81.4 | \n",
" 21.7 | \n",
" 22984 | \n",
" 42081 | \n",
" 94.4 | \n",
" 3001712.500 | \n",
" 672383.600 | \n",
" 0.140 | \n",
" 0.625 | \n",
"
\n",
" \n",
" AK | \n",
" 3.6 | \n",
" 5.8 | \n",
" 63.7 | \n",
" 90.7 | \n",
" 27.0 | \n",
" 30726 | \n",
" 66521 | \n",
" 1.2 | \n",
" 475548.444 | \n",
" 58540.158 | \n",
" 0.081 | \n",
" 0.658 | \n",
"
\n",
" \n",
" AZ | \n",
" 4.5 | \n",
" 30.1 | \n",
" 57.4 | \n",
" 85.0 | \n",
" 26.3 | \n",
" 25680 | \n",
" 50448 | \n",
" 56.3 | \n",
" 3934880.535 | \n",
" 920515.710 | \n",
" 0.142 | \n",
" 0.607 | \n",
"
\n",
" \n",
" AR | \n",
" 15.6 | \n",
" 6.6 | \n",
" 74.2 | \n",
" 81.9 | \n",
" 19.1 | \n",
" 21274 | \n",
" 39267 | \n",
" 56.0 | \n",
" 1798043.148 | \n",
" 428944.934 | \n",
" 0.146 | \n",
" 0.612 | \n",
"
\n",
" \n",
" CA | \n",
" 6.6 | \n",
" 38.1 | \n",
" 39.7 | \n",
" 80.7 | \n",
" 30.1 | \n",
" 29188 | \n",
" 60883 | \n",
" 239.1 | \n",
" 24009747.944 | \n",
" 4409953.704 | \n",
" 0.117 | \n",
" 0.637 | \n",
"
\n",
" \n",
"
\n",
"
"
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"output_type": "pyout",
"prompt_number": 4,
"text": [
" per_black per_hisp per_white educ_hs educ_coll average_income median_income pop_density vote_pop older_pop per_older per_vote\n",
"State \n",
"AL 26.5 4.0 66.8 81.4 21.7 22984 42081 94.4 3001712.500 672383.600 0.140 0.625\n",
"AK 3.6 5.8 63.7 90.7 27.0 30726 66521 1.2 475548.444 58540.158 0.081 0.658\n",
"AZ 4.5 30.1 57.4 85.0 26.3 25680 50448 56.3 3934880.535 920515.710 0.142 0.607\n",
"AR 15.6 6.6 74.2 81.9 19.1 21274 39267 56.0 1798043.148 428944.934 0.146 0.612\n",
"CA 6.6 38.1 39.7 80.7 30.1 29188 60883 239.1 24009747.944 4409953.704 0.117 0.637"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use a SPLOM to visualize some columns of this dataset. In Panda's the SPLOM is a one-liner."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"smaller_frame=census_data[['educ_coll', 'average_income', 'per_vote']]\n",
"from pandas.tools.plotting import scatter_matrix\n",
"axeslist=scatter_matrix(smaller_frame, alpha=0.8, figsize=(12, 12), diagonal=\"kde\")\n",
"for ax in axeslist.flatten():\n",
" ax.grid(False)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2ABwOB3l5eQwcOJARI0aYOZ3LSj+ez8ETRwn1a0KP8Gir47ilh+Kv4o0fV7I4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\nAaNIlb1FB8gtPkyofxDNG2oY61xuPGnrdPXEFlt06mS0kT2bvXvhww9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REXG4m9r05q4O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\nERGlEQtsIiIiIqI0YoFNRERERJRGfwLX+iMNZCWKuwAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Notice how `average_income` seems to have a strong correlation with `educ_coll`. Lets try and regress the former against the latter. One might expect that the average income is higher in states which have \"better\" education systems and send more students to college. First lets confirm our intuition by seeing the co-relations."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"smaller_frame.corr()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" educ_coll | \n",
" average_income | \n",
" per_vote | \n",
"
\n",
" \n",
" \n",
" \n",
" educ_coll | \n",
" 1.000000 | \n",
" 0.894066 | \n",
" 0.670977 | \n",
"
\n",
" \n",
" average_income | \n",
" 0.894066 | \n",
" 1.000000 | \n",
" 0.732703 | \n",
"
\n",
" \n",
" per_vote | \n",
" 0.670977 | \n",
" 0.732703 | \n",
" 1.000000 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
" educ_coll average_income per_vote\n",
"educ_coll 1.000000 0.894066 0.670977\n",
"average_income 0.894066 1.000000 0.732703\n",
"per_vote 0.670977 0.732703 1.000000"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We carry out the regression, first standardizing our variables. This is strictly not necessary, but we are doing it as we wish to play around with PCA. Since `scikit-learn` wants a `n_sample` rows times `n_features` matrix, we need to reshape the `x` variable. We store both an `_vec` variable, which is easier to plot with, as well as the reshaped variable. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LinearRegression\n",
"X_HD=smaller_frame[['educ_coll', 'average_income']].values\n",
"X_HDn=(X_HD - X_HD.mean(axis=0))/X_HD.std(axis=0)\n",
"educ_coll_std_vec=X_HDn[:,0]\n",
"educ_coll_std=educ_coll_std_vec.reshape(-1,1)\n",
"average_income_std_vec=X_HDn[:,1]\n",
"average_income_std=average_income_std_vec.reshape(-1,1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We split the data into a training set and a testing set. By default, 25% of the data is reserved for testing. This is the first of multiple ways that we will see to do this."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.cross_validation import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(educ_coll_std, average_income_std_vec)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use the training set for the fit, and find what our predictions ought to be on both the training and test set."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf1 = LinearRegression()\n",
"clf1.fit(X_train, y_train)\n",
"predicted_train = clf1.predict(X_train)\n",
"predicted_test = clf1.predict(X_test)\n",
"trains=X_train.reshape(1,-1).flatten()\n",
"tests=X_test.reshape(1,-1).flatten()\n",
"print clf1.coef_, clf1.intercept_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.92412128] -0.00156831593755\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot the scatter against the fit for both training and test data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(educ_coll_std_vec, average_income_std_vec,c='r')\n",
"plt.plot(trains, predicted_train, c='g', alpha=0.5)\n",
"plt.plot(tests, predicted_test, c='g', alpha=0.2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 10,
"text": [
"[]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SFXWvcLAiwBmskXIY89Jm5GJGLmbk4qukMsnOzVZqWqqtiRpw6YCgaaJ4r5iRi/+4IgUA\nKJIN+zbo3Z/e9R7HRcfp4Q4PKzKCv8kRvlgjBQA4o+k/T9fPe372Hnev313tardzsCKg5LFGCgBQ\nLFk5WRozf4xt7P6296tyXGWHKgLcheuxDmNe2oxczMjFjFx8BSKTtXvX2pqoauWqaUTnEUHdRPFe\nMSMX/3FFCgDg453l72jj/o3e416NeqnFeS0crAhwp4CskUpPT9d9992njRs3ql27dnrzzTdVu3Zt\nn+exRgoA3O1w9mGNXTDWNja43WDFl4l3qCLAOaVyr73du3frrbfe0gcffKDp06dr3bp1uv3224t7\nWgBAKVu+c7mtiapTqY5GdB5BEwWcRrEbqblz5+qVV15Rs2bN1L17d6WmpmrevHmBqC0sMC9tRi5m\n5GJGLr7OJhOPx6NXf3xVM9bO8I79pelfdFuL2xQREVEC1TmH94oZufiv2GukevfubTuuXr266tSp\nU9zTAgBKwf5j+zXuf+NsY0M7DFVcTJxDFQHBJeCLzZcuXaq777670O/369dPSUlJkqSEhAQ1b95c\nycnJkgo64nA7zueWetxwnJyc7Kp63HSczy31uOGY94vvcf7Y6Z6/es9q7U7cLUnatHyT6iTU0ch+\nI11RP8ele5w/5pZ6nDrOf7xp0yZJUp8+fXQmAd2Q88iRI7rjjjs0depURUZG+nyfxeYA4Lw8T57G\nLhirozlHvWO3XnKr6lWu52BVgPuUymLzk40dO1bjx483NlEwO7kLRgFyMSMXM3LxVVgme47s0aj0\nUbYmaljHYWHTRPFeMSMX/wVsam/SpEm65ZZblJiYKEnKyclRTExMoE4PACimbzd+q/TN6d7j1jVa\n69qG1zpYERD8AjK1N2XKFEVHR6t169aSpF27dmnTpk3q27ev7XlM7QFA6cvNy9U/vvuHbax/y/6q\nVbGWQxUBwaFU7rX35Zdf6s4771Rubq53LCIiQuvWrSvuqQEAxbT94HZNWjrJNvZ4p8cVHcmNLYBA\nKPZipquuuko5OTnKy8vzfuXm5uqCCy4IRH0hj3lpM3IxIxczcvGVlpamWb/OsjVRHc/vqNTk1LBu\nonivmJGL/8L3twkAJCkrS/r2W+mzz6QuXaTu3aWKFc/8uv37pXnzpK1bpXbtpObNS77WIsrOzdaU\n5VOUpCTv2D2t71H1CtWdKwoIUQHd/uBMWCMFwHXmzZM6diw4/uorqVu3M79u6lTp5putxwkJ0sKF\nUuPGJVPjWdi4b6Pe+ekd73HZ6LJ6pMMjiozg09TA2SqVNVIAENR277Yf79hRtNd9913B4/37pZ07\nHW+kPl79sVbtXuU97la/m9rXbu9gRUDo408UhzEvbUYuZuRiVqxcLrxQOv9863HVqlKLFkV7Xa9e\nUv596C64QHLw1ljHThxTalqqrYlqebwlTZQBv0Nm5OI/rkgBCG+NG0tz51prnc47T2rUqGiv+9Of\npPnzpT17rGasbt2SrbMQP+/+WdNXT/ceV42rqnvb3Kv09PTTvApAoLBGCgCCVGpaqu34ukbXqeV5\nLZ0pBghBrJECgBC06/AuTVg8wTY2uN1gxZeJd6giIHyxRsphzEubkYsZuZiFUy7v/fSeTxM1ovMI\nnyYqnDI5G+RiRi7+44oUAAQBj8ejkekjbWPNzmmmmy68yaGKAEiskQIA19u8f7PeXv62bWxQm0Gq\nWq6qQxUB4YE1UgAQ5Mb/MF4ZWRm2sdTkVGeKAeCDNVIOY17ajFzMyMUsFHPJzctValqqrYlqX7u9\nvYnKypLWr5e2b/d5fShmEgjkYkYu/qORAgCXWbNnjf7x3T9sY4PbDVa3+ifduubwYWn8eKlhQ6lV\nK2np0lKuEoDEGikAcJVR6aOU58mzjRmn8pYtk1qetGfU9ddL//lPyRYHhBnWSAFAkMjOzdbo70fb\nxrrX7652tduZXxATI0VFSbm51nFCQglXCMCEqT2HMS9tRi5m5GIW7Lks/n2xTxP16OWPFt5ESdat\nbaZNkxo0kK66SnrkEdu3gz2TkkIuZuTiP65IAYCDTr3Ni1TET+VFR1vTeV26SGXLSnFxAa8NwJmx\nRgoAHHA056ienf+sbeyGJjfo4uoXO1QRgFOxRgoAXChtU5rSNqXZxh7v9LiiI/knGQg2rJFyGPPS\nZuRiRi5mwZRLalqqrYkqH1NeqcmpAW+igimT0kQuZuTiP/78AYBSsP/Yfo373zjb2C0X36ILqlzg\nUEUAAoE1UgBQwmaum6klO5bYxp7s/KQiI5gUANyMNVIA4LBTP5VXq2It9W/Z35liAAQcfw45jHlp\nM3IxIxczN+ay6/AunybqzpZ3lloT5cZM3IBczMjFf1yRAoAAe3/F+1qfud42NqLzCEVERDhUEYCS\nwhopAAgQj8ejkekjbWNNE5vqz03/7FBFAIqDNVIAUEo279+st5e/bRsb1GaQqpar6lBFAEoDa6Qc\nxry0GbmYkYuZ07mkpqX6NFGpyamONlFOZ+JW5GJGLv7jihQA+OlE3gk99d1TtrF2tdqp+wXdHaoI\nQGljjRQA+OG/a/6rn3b9ZBtjKg8ILayRAoAScOq2BpI1lQcg/LBGymHMS5uRixm5mJVWLkeyj/g0\nUfn3ynMb3itm5GJGLv7jihQAFMGkJZO0/dB229gDlz2ghLIJDlUEwA1YIwUAZ8BUHhCeWCMFAMWw\n8/BOvb74ddtY/cr11eeSPg5VBMBtWCPlMOalzcjFjFzMCs1l9Wpp1izpp5/M3z+N1LRUnybq0csf\nDZomiveKGbmYkYv/uCIFIDStWiUlJ0sZGVK5clJ6utS6dZFeylQegKJijRSA0PTvf0s33VRw/NZb\n0m23nfYlv2T8oqkrp9rGGlRpoJsvvrkkKgTgcqyRAhC+ataUIiOlvDzruE6d0z7ddBXq8U6PKzqS\nfyYBFI41Ug5jXtqMXMzIxcyYS6tWUlqaNGaM9PXX0mWXFfr6wqbygrmJ4r1iRi5m5OK/4P1XAgBO\nJyZG6tjR+irEtxu/VfrmdNtYh9od1LV+15KuDkCIYI0UgLBkugo1ovMIRURElH4xAFyJNVIAcIo8\nT55GpY/yGedTeQD8wRophzEvbUYuZuRiVtRcPlz5oU8TdWW9K0OyieK9YkYuZuTivxK5InXs2DFl\nZ2erYsWKJXF6AOHs4EHpyBGpWjVrHVQRsTcUgJIQ0CtSHo9HU6ZMUcOGDbVo0aJAnjpkJScnO12C\nK5GLWdjn8uuv0g03SJdcIr32mnT4sKTT55Kdmx2WTVTYv1cKQS5m5OK/gF6R2rt3r6688krdfvvt\nLNgEEHjvvivNmWM9fuABqU0bqV27Qp/+z+//qcysTMXFxCkywvq7sXez3mpcrXFpVAsgDAT0ilRi\nYqJq1aoVyFOGPOalzcjFLOxzOXHCfvzHZpumXIZ8PUQb92/UgeMHdDTnqCTrKlS4NFFh/14pBLmY\nkYv/WGwOIHj07Su1bCmVKSONGiU1a+bzlP1Z+3XXzLt08PhB71hcdFzIT+UBcEapb3/Qr18/JSUl\nSZISEhLUvHlz79xsfkccbsf53FKPG46Tk5NdVY+bjvO5pZ5SP/76a+nIEaWtWSMtW2Z7v7y59E2V\na1BOkvT7yt8lSRPvnagaFWu4p/5SOs4fc0s9HLv7OH/MLfU4dZz/eNOmTZKkPn366ExKZEPOyMhI\nzZ49W1dccYVtnA05AZxWXp51fzw/PPTVQzqcfdh7XCG2gl7o/kKgKgMQhorSt/j3LxYC5uQuGAXI\nxSxkc9m6VRo+XOraVfrsMyknp8gv3bJ/i64dfa2tiUoslxj2TVTIvleKiVzMyMV/7GwOwHn/+Y80\nerT1OD1dWrRIatHijC8b8vUQ21ooSRrbdawqlmUPOwClI+CNVN4fn6IpxVv4BbWT56dRICxzOXFC\nOnBAio+XYmONTwnZXDZuLHicm2ttunkGKTNTvI9rXFRDkRGRev3a10uiuqAUsu+VYiIXM3LxX0Cn\n9vbs2aNnnnlGERERmjp1qtauXRvI0wOhKzNTevZZqW1bafBgaft2pysqXX36SJUrW49vvFFq1KjQ\npy7bsczWRElS3YS6NFEAHBHQRioxMVHDhg1Tbm6uJk+erMaNw2O/luJgXtos7HJZssRaI/Tbb9Ir\nr0jz5xufFrK5tGplTectWSJNmCCde67xaQ9++aAmLJ5gG3v1mlfVLrfwTTnDVci+V4qJXMzIxX+s\nkQLc4Ngx+/GRI87U4aT69U/77VOvQsVExujVHq+WZEUAcEYlsv1BYdj+ACjE9u3SoEHSf/9r3fZk\n6tQzNhbhYsbaGZr16yzbWPPqzTWgzQCHKgIQLorSt3BFCnCDmjWlyZOlMWOkhAQpMdHpilzhvi/u\n07ET9qt1b1z7BvfyBOAa7CPlMOalzcIyl8qVpQYNTttEhUsuHo9HKTNTbE1U2eiymthzorGJCpdc\nzgaZmJGLGbn4jytSAFzllR9e0YrdK2xj1za8Vtc1us6higCgcKyRAuAaAz8fqJw8+67mE3tOdKia\ns7Bxo7RypTUt26qVVL680xUBCABuEQMgKBw/cVwpM1NsTVT5mPLB0UT9/rv0179KvXpJnTtLM2Y4\nXRGAUkQj5TDmpc3IxSwUc3n464c16ItBtrH+LfvrxateLPI5HM3l99+tPbDyvf225II7O4TieyUQ\nyMWMXPzHGikAjjl1bygpSKbyTlatmlS7tnXjZUnq0UPiU4VA2GCNFIBSl5mVqUdnP2obKxtdVi9f\n/bJDFRXT6tXWbvSJiVKHDmxfAYQI9pECUPqOHpX27ZMqVZIqVPD59oNfPqgjOfad24d2GKr6VYJ4\nA9ILL7S+AIQd1kg5jHlpM3Ixc30uu3ZJw4ZJzZpJKSnSli22b6fMTPFpoib2nFjsJsr1uTiATMzI\nxYxc/EcjBSBwFi+WXnpJ2r9f+vBD782Xf9u2Qikf/l3KDsJP5QHAabBGCkDgfPaZ1LNnwfH77+vB\nuHQdWfi99OsvUq3aUvt2eub6V1UlropzdQJAEbCPFIDS1bq1dOedUlyc1KuXUiI/15EdW6S1a6Xc\nPGnzZk30XEsTBSBk0Eg5jHlpM3Ixc30u554rvfCCfvj+I6X0qfzHYnNrK4CEY9LEzyRFRQX8x7o+\nFweQiRm5mJGL//jUHoCAuu/7YdbNhmNjrIHEahpff6DKvPeh9PerpPbtnS0QAAKINVIAziwnx9rW\noGLF0242WegGm1lZBVsicB86AEGCNVIAim/jRql/f6ldO+m996Rjx3yeMmPtDJ8mqllis4JP5cXF\nSTVq0EQBCDk0Ug5jXtqMXMwcyWXaNOndd6U1a6S+faUVK2zfHvD5AM36dZZt7I1r39B9l91XaiXy\nfvFFJmbkYkYu/mONFBAsDh2SliyxNrls3ly6+OLS+bkZGfbjP65IeTwe3fXZXbZvRUdG67Uer5VO\nXQDgAqyRAoLFjBnS9ddbj6tUsTa7bNy4+Oc9cUI6eFCKj5diYny/v3KldO21VgM3YIA0apReWf+h\nVuy2X5m6+oKrdX2T64tfDwC4BPfaA0LJyZfeMzOlHTuK30hlZkqvvy69/bbUo4f0yCPWWqaTXXSR\ntHChdUXs3HOV8t3DPqdhh3IA4Yo1Ug5jXtqMXAy6dVNa/uPzzpNq1Sr+ORcvloYPl9avt27t8sct\nXXzUqKHsC+oq5ZP+1lqpDRulo1kqE1XGFU0U7xdfZGJGLmbk4j+uSAHBoksX6eWXrSaqaVOpQYPi\nn/PUT+AdOWJ82tBvhmrf3q3Szp3Svv1S2bK6Pb6jLvvrk8WvAQCCGGukgHC2fbs0cKD0ySdSmzbS\n1KlS/fq2p3i3NdizR/rqK+lolrVD+YMPSs89VyI7lQOAG7BGCsDp1awpvfWW9cm8hAQpMdH7rYyj\nGXpszmMFz/V4VP5All786o/jpUtLt1YAcCHWSDmMeWkzcjErkVyqVLGmCU9qooZ8PcTeREl6qMMQ\nvXjipL/M7r7bNVejeL/4IhMzcjEjF/9xRQqATaG3eZGkKVOkn3+2bhXTokXpFgYALsQaKQCSpF8z\nftVzC56zjVUsU1Fju411qCIAcBZrpAAUyYNfPqgjOfZP7D19xdNKLJ9YyCsAABJrpBzHvLQZuZiV\nRC4pM1NS7jSNAAAgAElEQVR8mqiJPScGVRPF+8UXmZiRixm5+I8rUkCY+mr9V/r3mn/bxhLKJujZ\nrs86VBEABB/WSAFhyDSV92L3F1U+trxDFQGA+7BGCoCP034qDwBwVlgj5TDmpc0ClsuWLdZH9l97\nTfr118Cc00HFyeX1Ra/7NFHVylULiSaK3yNfZGJGLmbk4j+uSCF0HT8ujRxp7dwtSa1aSV98Ydt4\nMlzc/8X9yjqRZRt7/drXFRnB31IAUByskULo2rtXuvRSadOmgrH1633uJRfKPB6P7vrsLttY2eiy\nevnqlx2qCACCB2ukEDz277can4QEqVq1wJwzIUG65x5p6FDr+NZbA3fuIDBszjDtPbrXNtakWhM9\n2O5BhyoCgNDDdX2HMS8taccOacAA635v114r/fZbYHKJjpZSUqS5c60pvTFjpEqVin9eBxU1l3tn\n3evTRE3sOTFkmyh+j3yRiRm5mJGL/7giBectXSp9+KH1+IcfpG+/lS64IDDnTkiQunQJzLmCwPET\nxzXoi0G2sfIx5fXiVS86VFEpyMiQ0tOl+fOlbt2s6VwAKCWskYLzZs+WunYtOP7gA+nvf3euniD1\n2OzHlJGVYRvr0aCHejXu5VBFpeTdd6W+fa3HFSpYzfiFFzpbE4CQwBopBIdWraSnnpLefNO6otCp\nk9MVBZ27P7tbeZ4821gobGtQJP/7X8Hjw4elPXucqwVA2GGNlMOYl5ZUubL0yCPSokXSyy9LtWqR\nSyFOzWXPkT1KmZlia6LiY+PDp4mSpBtvVFrkH/+UXXSRlJTkaDluwe+QGbmYkYv/AnJFavv27Xr6\n6ad18cUXa+HChXrkkUfUtGnTQJwa4SImJqw+URcIQ78Zqn3H9tnG7m51t1rWaOlQRQ7p3NnacDUp\nSWrYUKpTx+mKAISRYq+R8ng8at26tcaMGaMrr7xSa9asUY8ePfTrr78qKirK9lzWSCHsbdsm5eZK\ntWtLkf5fEOY2LwBQ8orStxR7am/27Nlas2aNkpOTJUlNmjRRTEyMZsyYUdxTA6Hl+++lSy6xFkJ/\n+qmUl3fm15xi9e7VPk1UQtkEmigAcEixG6n58+erXr16io4umCVs2LCh5s6dW9xThwXmpc1CLpfM\nTGtPq8xM6ehRqXdv6z6AZ+H+L+7XI28+Yht7svOTerbrs4GsNCiF3PslAMjEjFzMyMV/xV4jtXPn\nTlWsWNE2VqlSJW3btq24pwZCR2SkFBtbcBwbe1ZTe0zlAYA7FbuRio6OVkxMjG0s7zRTFv369VPS\nH5+qSUhIUPPmzb3Tgvkdcbgd53NLPW44Tk5OdlU9xT5OSFDawIHS6NFKjoiQJk9W2oYN0oYNp339\ngq0LtClhkyTp95W/S5Iqlqmosd3Guuu/z+HjkHu/BOA4f8wt9XDs7uP8MbfU49Rx/uNNf9yjtU+f\nPjqTYi82Hz16tKZNm6bly5d7x6655holJSXptddesz2XxeYIe/v2WYvNi/AJxYGfD1ROXo5t7Plu\nzyu+THxJVQcAOEmpLDbv0qWLNmzYYBtbt26drctF4U7uglEgKHPxeKTFi62d2efPl7KzfZ9TuXKR\nmqiUmSk+TdTEnhO1ZOGSQFUbUoLy/VLCyMSMXMzIxX/Fntq77LLLVKdOHX377bfq0qWL1q5dq6NH\nj6pnz56BqA8IHsuXW7uyZ2VJERHWJ/PatpUSE4t8inELx2n13tW2scplK2tM1zGBrhYAEAABudfe\nhg0bNGrUKLVp00Y//vijBg0apFatWvk8j6k9hLQZM6Trry84HjbMugI1ZEiRXm5aUD6hxwRFRUYZ\nng0AKGmldq+9evXqacqUKZKkAQMGBOKUQPCpW1cqX146ckSKipLOO0/66CPpgQek6MJ/1Twej+76\n7C6fcT6VBwDuV+w1Uige5qXNgjKXSy6R5syRnn1WGjvWum9gv36nbaIenf2oTxN1XoXzCm2igjKX\nUkAuvsjEjFzMyMV/AbkiBeAPbdtK1atLP/0kvfGG1Lp1oU9lbygACH4BWSNVVKyRAqTjJ45r0BeD\nbGNREVGacO2EwP2QEyekhQulBQukFi2kDh2saUcAQJGV2hopAEXz8NcP68DxA7axznU66+aLbw7s\nD1q6VOrSxdqzSrKmHK+4IrA/AwDAGimnMS9tFoq5pMxM8WmiJvaceFZNVJFz2b69oImSpFP2egs1\nofh+KS4yMSMXM3LxH40UUMJ2H9ntsx6qTFSZkl0P1bBhwcafcXFS8+bm523YIC1bJu3dW3K1AEAI\nY40UUIIGfzVYh7IPWQd5HikyQv0u6af257cv+R++erW0aZNUs6b1icJTLVsmde0qZWRIf/6zNH68\ntVAeACCJNVKAo2xXoX7fIS1ZrInZ3aUm55ROARdeaH0V5oMPrCZKkqZPlwYMoJECgLPE1J7DmJc2\nC+Zc1u5Za2+iDhxQuZlfaOKkndI770ijR/t97oDmUrt2wePISCk+eG+GHMzvl5JCJmbkYkYu/uOK\nFBBAQ74eooPHD9rGhp1/s5I+n1YwsHGjtRA8yuFbv9xwg/T779Y2CQ89JF18sbP1AEAQYo0UECCn\nLiiPUITe6PmGtTnna69JEydaezm98op0yy2n3fG8VJ044Z5aAMBFWCMFlIL0Ten6YOUHtrEqcVX0\nzJXPWAflykk7dkgjR0p5edLate5qXNxUCwAEGdZIOYx5abNgyeWhrx7yaaJe6PZCQRMlSQ0aSI89\nJi1fLpUpI/XoIc2aJf3221n/vGDJpbSRiy8yMSMXM3LxH3+KAvl27rQ+vfbjj1LfvtbO4KdZx3Tq\nVF50ZLRe6/Ga+cnt2kn/+Y80d27BjuMNGkhffinVqxfI/woAQClijRSQb/JkqX9/63F0tNVQtWjh\n87T3fnpP32/53jZWrVw1jf5TET6N9+CD0rhxBcdnc+uW3FxrvdXevVYTVrdu0V4HAPALa6SA0/F4\npOPHpbJlreN16wq+d+KEtH9/wfHevdLu3bp/zYvKio2wnWZCjwmKiiziJ/DatCl4XL68dI5hTymP\nx9pxPDfXapZiYqzxefOkK6+0amvWTJo5U0pKKtrPBQCUCNZIOYx5abMSz2XLFun++6VOnaR//ctq\nqG66SapQwfp+x47WVR9J2rpVnr//TSlDmyrrk4+lA9b98vJv81LkJkqSrrpKmjFDGjtWSkuzGqJT\nff21Nd6kifTRR1JOjjU+Y4bSTpywHq9aZW2jAEn8HpmQiRm5mJGL/7gihfD0ySfWLVEk6W9/k374\nwbpa9OOP0r591pWeGjUkSU/PGqbNZWZbz923X9q5U43rt9VD7R46+59bubLUq1fh38/IkAYOlI4d\ns47vuEO6/HLrylSrVgXPK1dOSkw8+58PAAgoGimHJScnO12CK5V4Ljt2FDz2eKQjR6zHTZrYnnbv\nrHuVrX22sYlJg6R2N5VMXTExUpUqBZ/oq1hRio21Hl99tZKnTbPuoXfVVearWWGK3yNfZGJGLmbk\n4j8aKYSn3r2lt9+2Pqn3t7/5NFA5uTkaOGugdVAtUWrfTuV+/lXjaveXOnQwnzM725qumzXLuorU\ntatUqdLZ1VWxovTmm9a046FD0ssvWzcdlqSqVa2bCwMAXIM1Ug5jXtqsxHO5+GJrOm/lSmuK76Sb\n9T42+7GCJkqSYmPU84bHNG7iZus+eeedZz7nkiXWlaKXXrIanoULpd27rbVM+Ve8ilrbF19I6elS\n+/a2b/F+MSMXX2RiRi5m5OI/GimEr/PPt6bHqlb1Dt3z2T3KyMqwPW3iFS+q59LD1r3pxo+3PsFn\nsnu3NU2Y77ffpKuvli64QBo1SsrMLHptZctan+oDALga+0gBkg4cO6CHv3nYNhYfG6/nuz9vXRk6\nef3AjBnmBePr1kndu0ubN1tTelOmSNdfX/D99HTrU4IAgKDAPlJAEQz9Zqj2HbMvKL+79d1qeV5L\n6+Dk/aQkadcu84kaNbI22NyyRTr3XGvX8pPl7wcFAAgZTO05jHlps9LKJWVmik8TNbHnxIImSrLW\nLLX847hmzcIXm0tS/frWLWCaNJGuu866clWrljUleNFFxa6X94sZufgiEzNyMSMX/3FFCmFp24Ft\nGvXdKNtYpTKV9Fy353yfXLeu9Omn0vbt1k7kRd1NvH596YMPrIXmVapYt50BAIQU1kgh7Dz89cM6\ncPyAbWxk8kidF1/Ip/EAAGGJNVLAKVJmpviMTew50YFKAAChgDVSDmNe2izQuazYtcKniaoSV6V4\nTVTpXcz14v1iRi6+yMSMXMzIxX9ckYL7eTzWppa5udb6pLP89NtDXz2kw9mHbWPjuo9Tudhy/tWz\nfbu1+/iCBdKgQdaWB3wiDwDCEmuk4H6zZ1ufgDt+3LqtS+/eBfefO4NTr0JFR0brtR6vFa+e11+X\n7rnHehwZad3o+OQbCgMAQkJR+ham9uBu+/ZJAwdKWVlSXp50xx3S1q1nfNk3v33j00TVr1y/+E2U\nZF0dy5eXJx08WPxzAgCCEo2Uw5iXNvPmEh1tbR2Qr0KFM06j3f/F/Zq+erptbEKPCRp6+dDAFPeX\nv0iVK1uPr71Watw4MOctAm8umZnSokXS6tWOrNVyG36PfJGJGbmYkYv/aKTgbvHx0sSJUufOUosW\n0mefWffIM/B4PEqZmaKsE1nesTJRZTSx50RFRUYFrqZWrazpvEWLrLVShd3EuKTs3y+NGCG1aWNt\nFDp3bun+fACAF2ukEByOHbMWm5cvbzUwr74q1akj9esn1a2rKcumaMG2BbaXJCcl6+8X/d2ZekvS\n8uVWU5kvOdlaRxYVwGYRAMA+UgghZcta/3fDBqlbt4L732Vk6N5rpOzcbNvTQ3pvqPLlrSnOw398\nEvHCC2miAMAhTO05jHlps0JzOXzY20SdiJRSjn2s7Jxj3m+XiykX0k1UWlqa1KCB9NVX0v/9nzR4\nsPUV5vg98kUmZuRiRi7+44oUgkvt2tKdd2rUuknalhBhTXFFWn8P3HzRzeqc1PnM5yjmvlSu0L69\n9N//Ol0FAIQ91kgh6Nzz8W3KPbDP+kRf5cpSRMTZXYU6eV+qKVOsfamCsZkCAJQo9pFCSDmac1Qp\nM1OUWyZGOuccqUoVxZepeHZNVGamNGBAwb5Ut99epH2pAAAwoZFyGPPSZqfmMnzOcD3w5QO2sYfb\nP6znuz9/dieOiSnYA0oq0r5UbsL7xYxcfJGJGbmYkYv/WCMF1xv81WAdyj7kPS4fU14vXvWifyeL\nj5cmTZLuvVc6dEgaP95adxXOdu+Wdu2SqlaVatRwuhoACCqskULJOHTIuqnvli1S69b2fY+KaM+R\nPRo+d3jBgMejxAMn9HRWO6lhQ6ltWykuzr/6jh61FpvHx/v3+lCxZYt0661SerrUpIk0Y4aVLQCA\nfaTgoDlzpOuvtx5XrGg1VU2bmp+7bZt1v7rzzvNOuw2bM0x7j+61PW10Ym9V+/M1UvYUa+Dbb63N\nKP1Rrpx/rzM5eNC6iXL+XlfBZNkyq4mSpDVrpPnzaaQA4CwEfI3Uzp07A33KkBay89ILTtpl/OBB\naccO8/NWrbI+yt+0qfTAA9KuXXrwywe14ocV3qfEx8ZrYs+Jqrb7sJR90saba9aUUPFFlJcnzZol\ntWtn7em0dm2J/8iAv18qVLAfV6oU2POXkpD9PSoGMjEjFzNy8V/AGqk9e/bo3nvvVYcOHQJ1SgSz\nrl2liAjrcc2a1u1cTP71L++n5tbPfFcpM/rrSM4R77fPKX9OwYLy+vWlhATrcUyM1Lx5SVVfNL/8\nYjVQq1dbG2SmpgbfDYRbt7bWibVqZd2/j99fADgrAZvay8rKUlJSkrKzs8/8ZHgl+zs15XadO1vT\nRLt2SY0bW7txm5xzjiTpsT9JGXGy9oaSVPvi2nqh+wuKizlpDVSzZtJ330nr10u1alk37HVSTo71\nlW/vXusqVQneriXg75dKlayF93fc4f96MxcI2d+jYiATM3IxIxf/BayROv/881WtWrVAnQ7BLjbW\nmvI6k169dP/WScra/bt00UVS1SqqVKaSnuv2nPn5F11kfblBvXrS2LHSkCFSlSrS6NHBe8+7IG6i\nAMBJ7CPlsHCel/5l7y9K+ekpZV3eVup1ndSwgS6r00HPdXsuOHIpX97a3POXX6xF223alPiPDIpc\nHEAuvsjEjFzMyMV/fGoP/svJkXbutK4+Va9+Vi99dPajyszKtA4iIhQTG6fx14xXZIQDvf3x49Lv\nv0tlypz9PkpxcYVPWwIAQl6pN1L9+vVTUlKSJCkhIUHNmzf3zs3md8ThdpzPLfUU6Tg7W2kjRkgv\nvKDk886T/vtfpR04cMbXezwe/SfrPzqee1y/r/xdknThpRfq2a7P2p6fnJxcOv892dlK/u03adAg\npVWsKP3zn0q+667Sz/MsjvO5pR43HJfa+yWIjvPH3FIPx+4+zh9zSz1OHec/3rRpkySpT58+OpMz\nbsi5detWtTzNot5evXrpzTfflCRNmTJFTzzxhLYWcu8yNuQMIatXW4u/898+V14pffGFd7G4yQ/b\nf9DkpZNtY/1b9lebmiU/JVaoVavsa666drX+O4J1rRMAIGACctPi2rVra8+ePYV+5TdR8M/JXXBQ\niYiQIk96+8TGFmx3YPDIN4/YmqgyUWX0xrVvFNpElVouUVH25i8+/rT/HU4L2vdLCSMXX2RiRi5m\n5OK/MzZSZyMvLy+Qp4ObNWggffSRtTaqeXPpmWeMV3HyPHka+PlA7T+23ztWJa6Kxl8zXhFuaFga\nNpQ+/liqW1fq2FH6xz/sDSIAAKcRsHvtLV26VI888oi+//57TZ48Wb169VL8KfcxY2ovxOTlWTe8\nLVPGe2uXk321/iv9e82/bWMPt39YDaq6bHG2xyNlZlpX1cL93nsAAK9Svddey5YtNXv27ECdDsEg\nMlI691zjt1LTUnXg2AHvcVx0nF66+qXSquzsRERIVas6XQUAIAgxh+GwUJuXzs7NVmpaqiQpLiZO\nZaPLqmpc1bNuokItl0AhFzNy8UUmZuRiRi7+Yx8pBMy0n6dp9Z7V3uPYqFgN7zhc1Suc3R5TAAAE\ni4CtkSoK1kiFrvyrULaxZN8xAACCRamukUJ4OnT8kJ5f+LxtrEpcFd3X9j6HKgIAoPSwRsphwTwv\n/Z81//Fpoga3GxyQJiqYcylJ5GJGLr7IxIxczMjFf1yRgl+YygMAgDVSOEv7svbppR/sn8BrV6ud\nul/Q3aGKAAAoGayRQkBNXjpZWw/a76M4vONwxUTFOFQRAADOYo2Uw4JlXjo1LdWniUpNTi2xJipY\ncilt5GJGLr7IxIxczMjFf1yRgnTkiBQTY90i5RQ7Du3QG0vesI31bNhTrWq0Kq3qAABwLdZIBQOP\nR1q5UtqzR6pfX0pKCtx558yRHnlEqllTeu45qXFj77efmfeMjp04ZnvJk52fVGQEFzIBAKGPNVKh\n4n//k664Qjp2TGrWTPr0U6lu3eKf99dfpZ49rfMuW2bdfHjaNHkiIjQyfaTP0/lUHgAAdlxacFiR\n5qU//9xqdiRp1Srpt98C88OzswvOK0m7dmnn/m0+TdTfL/p7qTdRzNebkYsZufgiEzNyMSMX/9FI\nBYNmzQoex8ZK1aoF5rx160rPPms9jo/XO/d11usr3rI9ZUTnEWpYtWFgfh4AACGGNVLBICND+vJL\n6aefrKm4Dh2kyAD1wEePyrN5s0aue0NKSPAOX3TORbrxwhsD8zMAAAhCrJEKFVWrSjffbH0F2L6I\n43pp179sTdR9be9TlbgqAf9ZAACEGqb2HObkvPT/tv3PZ5fy1ORUVzRRzNebkYsZufgiEzNyMSMX\n/3FFKgzlefI0dsFYHc056h3rXr+72tVu52BVAAAEH9ZIhZndR3brtUWv2caGdRym2CjfzTgBAAhn\nrJGCzbcbv1X65nTvcesarXVtw2sdrAgAgODGGimHlca8dG5erlLTUm1NVP+W/V3dRDFfb0YuZuTi\ni0zMyMWMXPzHFakQt/3gdk1aOsk29ninxxUdyf/0AAAUF2ukQtisX2fpx+0/eo87nt9Rf6pH/gAA\nFAVrpMJUdm62Rn8/2jZ2T+t7VL1CdYcqAgAgNLFGymGBnpfeuG+jrYkqG11WT3Z+MuiaKObrzcjF\njFx8kYkZuZiRi/+4IhVCPl79sVbtXuU97la/m9rXbu9gRQAAhDbWSIWArJwsjZk/xjZWrNu85OZK\nu3ZJZcpYt6cBACAMFaVvYWovyK3du9bWRFWNq6oRnUf430Tl5EjTp0sXXyx17iytWBGgSgEACD00\nUg4rzrz0O8vf0UerPvIeX9foOg1qO0gRERH+F7R+vXVz5IwM6eefpaFDrStUpYz5ejNyMSMXX2Ri\nRi5m5OI/1kgFocPZhzV2wVjb2OB2gxVfJr74Jz91pjc313cMAABIYo1U0Fm+c7lmrJ3hPT6/0vm6\nrfltxbsKdbKcHGnaNGnAAKl6detx8+a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"text": [
""
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We then look at the residuals, again on both sets."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(predicted_test, predicted_test- y_test, c='g', s=40)\n",
"plt.scatter(predicted_train, predicted_train- y_train, c='b', s=40, alpha=0.5)\n",
"plt.plot([0.4,2],[0,0])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"[]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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PZ4waNUpfffVVnbFdu3bVzmhJksvlUkZGhvLy8mrHcnNzlZ6ernbt2nkaAjy0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\nGPD/AYMuqPPkAKavAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We ask scikit-learn to spit out the $R^2$. If you'd like R-style detailed information about your regression, use `statsmodels` instead. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf1.score(X_train, y_train), clf1.score(X_test, y_test)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"(0.84357153741408697, 0.44645202007349571)"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Doing a PCA on the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets take the standarddized data and do a 2-D PCA on it. Here we do not seek to accomplish a dimensional reduction, but to understand the variance structure of the data."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2)\n",
"X = pca.fit_transform(X_HDn)\n",
"print pca.explained_variance_ratio_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.94703283 0.05296717]\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(X[:, 0], X[:, 1])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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U+/ln861XHAMlQFgw0wUAkCSdcorXFQCQWF70FVvXwsltF3Lbhdx2OZHcBw6Y\nK9ILC0Nfj9/QdAEAAE9s3CgNGiR16CC9+KLZVy6aMdMFVCInR5ozx/xH4eqr2d8IAEJtwgTpvvvK\njr/8UrrwQu/qOVHMdAFBeucd6YEHzOOJE6Vly6RWrYJ/3YwMKTVVql1bSkkxN+0GABsdPFj++PBh\nb+pwC8uLPsIMgL8sWVL2eM8eaffu4F9zyxbp8sulkSOlgQMX6pVXgn/NSOPXzzvcyG0Xcgfm2mvN\n0mJsrPnGq3378NTlFzRdQCVuu02q8su/ISkpUtOmwb/m7t1SVlbZ8aefSvn5wb8uAESi1q3Nfwe/\n+0567DGpVi2vKwovZrqAShQWSt98I+3da/7D0Lhx8K+5Y4d0003Sf/5jjt98U7r55uBfFwDgHWa6\ngCDFx0udOoX2NevWlV5/XUpPN3sndewY2tcHAPgXy4s+wgyAHRo3li67TCoqWqjq1b2uxn22fd4l\nyG0XcqMiNF0AAAAuYKYLOA6bNkkffmh2Tx44UDr7bK8rAgB4jZkuIMSKiqRx46RXXzXH77wjLV0q\nNWnibV0AgMjA8qKPRNNaeFGRuVIvL+/Y50ZK7vx86auvyo63bpX27z/x14uU3KFGbruQ2y625g4U\nTRdCLi9Peust6fzzzRLc9997XVFoVK8u3X9/2fHQoVLDhp6VAwCIMMx0IeSWL5e6dCk7HjtWevRR\nz8oJqfx8ac0ac+uKtm2levW8rggA4DVmuuCZwsLyx8EswflNtWpS585eVwEAiEQsL/pItKyFt2sn\nPfSQFBMjtWwp3XLL0c+PltzHi9x2IbddyI2K8E0XQi4pSRozxty7sHp1qX59rysCAMB7zHQBAAAE\nIdC+heVFAAAAF9B0+Yita+Hktgu57UJuu9iaO1A0XQAAAC5gpgsAACAIzHQBAAD4CE2Xj9i6Fk5u\nu5DbLuS2i625A8U+XfCdgwelk06SqljwV4L//lfKyJAaNZLOO8/kBgBEJ2a64BuFhdLMmdJTT5kG\n5KGHpObNva4qfDIypB49pJ07ze79qanS737ndVUAgOPFTBciTnq6dN11Ulqa9Npr0nvveV1ReG3e\nbBouSXIcadEib+sBAIQXTZeP2LoWXpI7L08qLi57/scfvanHLT/+uFA1a5Ydd+niWSmusv2fc9uQ\n2y625g4UTRd8o00badgw87hu3WPfKDvSNW8uLVwoTZ0qLVggXXSR1xUBAMKJmS74yp49Una2VKOG\n1KyZ19VYht0tAAAQx0lEQVQAAHBsgfYtXL0IX0lKMr8AAIg2LC/6iK1r4eS2C7ntQm672Jo7UDRd\nAAAALmCmCwAAIAjs0wUAAOAjNF0+YutaOLntQm67kNsutuYOFE0XAACAC5jpAgAACAIzXQAAAD7i\nedN18OBB7dq1y+syfMHWtXBy24XcdiG3XWzNHaiQ7Ug/Y8YMffXVV6pVq5a2bNmiCRMmKD4+vsJz\nBw0apGnTpkmSkpKS9GO039kYAABYLyQzXWlpabr++uv17bffqkqVKho1apSqVq2qxx9//Ihzf/rp\nJ40bN05DhgyRJNWrV0+NGzcudw4zXQAAIFK4OtM1YcIEpaSkqEoV83JXXXWVXn31VRUUFBxx7ssv\nv6yTTjpJsbGx6tix4xENFwAAQDQKSdO1ZMkStWnTpvS4ZcuW2rVrl9asWXPEuZs3b9b06dPVoUMH\nXXLJJdqzZ08oSogKtq6Fk9su5LYLue1ia+5AhWSmKycnR4mJiaXHSUlJkqTs7Gx16tSp3LlTpkyR\nJH3yySe6+eabddttt+lf//rXEa85dOhQJScnl77eueeeq5SUFEllH2q0HZfwSz1uHa9evdpX9fB5\nh/eYz9sf9fB5h/e4hF/q4fMO7XHJ46ysLEnSTTfdpECEZKarRo0aevHFFzV06FBJUkFBgapVq6YP\nPvhAV199daU/l5qaqj59+ujAgQOqVq1a6fPMdAEAgEgRaN9yzG+6tmzZoo4dO1b6+/3791fDhg3L\nLROWPG7UqNFRX/viiy9W9erVtW/fvnJNFwAAQLSpcqwTmjRpoh07dlT664033lCvXr303Xfflf5M\nZmamEhMT1aFDh6O+dnFxsRITE1W3bt3gk0SB334tbQty28Uvuf/7X2n0aOnZZ6VfVgjCyi+53UZu\nu9iaO1DHbLoCceutt2ru3LkqLi6WJM2ZM0eDBg1SfHy8srOzdffdd0uSNmzYoBdeeEH5+fmSpNdf\nf1333nuvYmJiQlEGAARk61apb1/pqaekBx6QHntMKiz0uioA0S5k9158++23tWrVKjVu3Fjfffed\nJkyYoISEBH311VcaOHCg1q1bp2+++UbXXXedTj31VF133XVq1KiRBg8efMRrMdMFIJwyM6W2bcuO\nzzxTWrJE+tX1QAAQsED7Fm54DcA6e/dKo0ZJf/+7OZ48Wfplv2YAOG7c8DoC2boW7mXuAwekH3+U\nDh50/735vL2TmCj93/9JCxdKX30lXX99+N/TD7m9QG672Jo7UDRdsFZ2tnT33VL79tLDD0vbtnld\nEdxUp47Us6fUpYvExdMA3MDyIqw1fXr5bzhmzZL69fOuHgBAZGJ5ETiGoqLyx79cfAsAQFjQdPmI\nrWvhXuW+4ALpyiulqlXNEPX557v7/nzediG3XciNioTk3otAJGrWTJoyRdqzR6pVS6pRw+uKAADR\njJkuAACAIDDTBQAA4CM0XT5i61o4ue1CbruQ2y625g4UTRcAAIALmOkCAAAIAjNdAAAAPkLT5SO2\nroWT2y7ktgu57WJr7kDRdAEAALiAmS4AJ2zbNqmwUGrYUIqN9boaAPAGM10AwmrlSqlLF6ldO+nD\nD6XDh72uCAD8jabLR2xdCyd35MnPl0aOlDZtkvbtk264Qdq4MbCfjeTcwSC3XciNitB0ATghv15O\nrFJFionxrhYAiATMdAE4IV9/Ld14o5SbK/3979IVVzDXBcBOgfYtcS7UAiAKdeggffmlGaRv0IBv\nugDgWFhe9BFb18LJHbnq1DFXLh5PwxUNuU8Eue1CblSEpgsAAMAFzHQBAAAEgX26AAAAfISmy0ds\nXQsnt13IbRdy28XW3IGi6QIAAHABM10AAABBYKYLAADAR2i6fMTWtXBy24XcdiG3XWzNHSiaLgAA\nABcw0wUAABAEZroAAAB8hKbLR2xdCye3XchtF3LbxdbcgaLpAgAAcAEzXQAAAEFgpgsAAMBHaLp8\nxNa1cHLbhdx2IbddbM0dKJouAAAAFzDTBQAAEARmugAAAHyEpstHbF0LJ7ddyG0XctvF1tyBoukC\nAABwATNdAAAAQWCmCwAAwEdounzE1rVwctuF3HYht11szR0omi4AAAAXMNMFAAAQBGa6AAAAfISm\ny0dsXQsnt13IbRdy28XW3IGi6QIAAHABM10AAABBYKYLOEEHDkh79nhdBQAg2tB0+Yita+F+yp2e\nLvXpI3XrJqWmhve9/JTbTeS2C7ntYmvuQNF0Ab/Iz5dGjpQWL5YyM6X+/aWNG72uCgAQLZjpAn5x\n4IDUo4e0apU5jokxzVerVt7WBQDwN2a6gONUvbr0t79JiYlSbKz05ptScrLXVQEAogVNl4/Yuhbu\np9wXXiitWSOtXy8NHChVrRq+9/JTbjeR2y7ktoutuQMV53UBgN80bep1BQCAaMRMFwAAQBCY6QIA\nAPARmi4fsXUtnNx2IbddyG0XW3MHiqYLAADABcx0AQAABIGZLgAAAB+h6fIRW9fCyW0XctuF3Hax\nNXegaLoAAABcwEwXAABAEJjpAgAA8BGaLh+xdS2c3HYht13IbRdbcweKpgsAAMAFzHQBAAAEwZOZ\nrpycnFC+HAAAQNQISdO1Y8cOjRgxQt27dz/qeXv37tXIkSP1yiuvaNiwYfriiy9C8fZRw9a1cHLb\nhdx2IbddbM0dqJA0XQcPHlRycrIKCgqOet7NN9+s9u3ba/jw4Ro/frwGDBig3NzcUJQQFVavXu11\nCZ4gt13IbRdy28XW3IEKSdPVtGlT1alT56jnbNiwQTNmzNCll14qSapVq5bOPvtsvfXWW6EoISrs\n2bPH6xI8QW67kNsu5LaLrbkD5drVi4sXL1ZCQoIaN25c+lyrVq00f/58t0oAAADwjGtNV05OjhIT\nE8s9l5iYqOzsbLdK8L2srCyvS/AEue1CbruQ2y625g5UyLaMmDx5sh555BFt2bKlwt9/9tln9eKL\nL2rTpk2lz40ePVqzZ8/WmjVryp07b968UJQEAADgikC2jIg72m9u2bJFHTt2rPT3r7zySr3++usB\nFdOwYUPt3bu33HN79uwpt9xYgj26AABAtDlq09WkSRPt2LEjJG+UkpKi/fv3a9euXapdu7YkKTMz\ns3SwHgAAIJqFbKaruLj4iOeys7N19913S5IaNWqkSy+9VDNnzpQk7d69W2vWrNGNN94YqhIQRdho\nN3rl5+dr3759XpcBAK4LSdO1atUqTZs2Tdu3b9c777yj/fv3SzJN19y5c3Xo0CFJ0tSpU/Xll1/q\nxRdf1KhRo/Tuu+9WuLz4a88995zOOOMM1a5dW0888UQoyvW9Rx55RA0bNlSDBg30yCOPeF2OqwLd\naDeSbd26VXfddZdeffVVDRkyRGvXrvW6JFc4jqPJkyerVatWWrFihdfluObzzz/XOeeco5o1a6pP\nnz6Vzr1Gm6+//lrdu3fXqaeeqt///vfatWuX1yW5qri4WL169dLnn3/udSmeyM3NVV5entdluCYr\nK0vjx4/X5MmTj75C6PjYp59+6nzwwQeO4zjOsmXLnLi4OGfDhg0eVxVekyZNcl555RVn3bp1ztNP\nP+3ExMQ477zzjtdluWbTpk3OM8884zRu3NjrUsKiuLjY6dixo/PZZ585juM469atc5o3b+4cPnzY\n48rCb/v27c6WLVucmJgYZ968eV6X44pt27Y5gwcPdtLT0525c+c6zZo1cy655BKvywq7Q4cOOQ8/\n/LCTl5fn/Pzzz07Xrl2d0aNHe12Wq1566SWnVq1azueff+51Ka7p3r27ExMT48TExDitW7f2uhzX\n/POf/3S6devmbNy48ZjnHnWmy2utW7dW06ZNJUmdO3dWnTp1FBMT43FV4VVUVKQ777xTktS2bVvN\nmTNHixYt0sCBAz2uzB2BbLQbyVJTU5WRkaGUlBRJ5jOOj4/XjBkz9Ic//MHb4sKsbt26Xpfguvnz\n5+ull15SjRo1dNZZZ2ns2LEaPny412WF3e7duzV27FhVrVpVktSzZ0/FxsZ6XJV7Fi1apObNm6tm\nzZpel+KatLQ09enTRy+88IIkHXMVK1osXLhQI0aM0OrVq3Xaaacd83zX9uk6ESUNlyQtWbJEd9xx\nh04//XQPKwq/O+64o9xxgwYN1KxZM4+qQagtXrxYLVq0UFxc2d932CQ4eg0YMEA1atQoPa5fv74V\n/z7Xr1+/tOE6dOiQtm3bpj/96U8eV+WOXbt2acmSJbr88su9LsVVzz//vKpVq6YaNWqoY8eOqlev\nntclhZ3jOBo+fLhGjhwZUMMl+bzpkqS8vDw99thjuvTSS5WWllY6L2aL9evXa/DgwV6XgRDJyck5\n4m+/bBJsj1WrVpV+k22DWbNmqUuXLkpNTdV///tfr8txxfPPP68//vGPXpfhqqKiIuXm5uqvf/2r\nWrdurQEDBqiwsNDrssJu6dKlWr9+vbKysnTttdeqbdu2mjhx4lF/xvdN18knn6zRo0dr5syZSk9P\n1zPPPON1Sa6ZOXOmbr/99oA7aPhfXFyc4uPjyz1X0ZW/iD4HDhxQenq6Ro4c6XUprrniiis0Y8YM\n9ejRQ4MGDfK6nLCbNGmSBg4cWPotn2S+DYl2sbGx+vjjj/XTTz9p6tSp+vjjjzV69Givywq7tLQ0\n1ahRQ+PGjdP777+vd999V/fee6+WLVtW6c941nRt2bJFdevWrfTXsGHDSs+Nj49XSkqKHnvsMa1a\ntcqrkoN2PJm3bt2q9PT0qJn/OJ7s0ey0006rcJPgRo0aeVQR3FJyV44qVXz/d92QSk5O1htvvKGd\nO3dG/RWMkyZNUocOHZSQkKCEhARt2rRJvXv31oABA7wuzRUxMTEaNGiQnnvuOb3zzjtelxN2P//8\ns1q3bl06h9yxY0d16tRJs2fPrvRnPBukP5GNV2vXrh3Rw3mBZt6/f7+mTJmi//3f/y19rrCw8Ihv\nSCJJKDfajWS9evXSuHHjyj23fv16DR061JuC4IpJkyZp0KBBpRcTRPq/z8erWrVqql27tmrVquV1\nKWG1fPnycsfNmzfXlClT1KNHD48q8saVV16pe+65x+sywq5BgwY6cOBAueeaNGmi3bt3V/ozvv4r\n19KlS5WRkVF6PGfOHI0YMcLDisKvoKBADz30kPr27avMzExlZGRo4sSJ2rx5s9eluSaal9u6du2q\nZs2aacGCBZLMXRny8vJ0xRVXeFyZO0o+WxuWXEpMnjxZCQkJKiwsVGZmpj7//HNNmzbN67LCKjc3\nV7NmzSo9/vzzzzV48OCov/ocRlFRkVq3bu11GWHXrVs3bd68udz82sGDB9W8efPKfyjc+1cEY8yY\nMU6NGjWcu+66y3nxxRed5cuXe11S2A0cOLB0n5OSX927d/e6LNekpaU5F198sVO1alXn7bffdvbt\n2+d1SSH3/fffO0OGDHEmTpzoDBkyxFm5cqXXJbli+/btzhNPPOFUqVLFueWWW5yMjAyvSwq7Tz75\nxImLiyv373OVKlWifr/BFStWOPXr13d69OjhvPDCC86bb77pdUmeSE5OtmKfruXLlzuTJk1yioqK\nHMdxnNGjRzvTp0/3uCp39OzZ0/nwww8dxzH70zVt2tTJycmp9PwYx7Hor5wAACCkZs2apdtvv12t\nW7dWnz591K5dO/Xv39/rslyRnZ2t++67Tx06dFB2drb69++v3r17V3o+TRcAAIALfD3TBQAAEC1o\nugAAAFxA0wUAAOACmi4AAAAX0HQBAAC4gKYLAADABf8ft8L9QoX7BVgAAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Since the first component is so latge, lets only keep it, and then reconstruct the original data from only this component, setting the others to 0."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pca1 = PCA(n_components=1) # only keep one dimension!\n",
"X_E = pca1.fit_transform(X_HDn)\n",
"X_reconstructed = pca1.inverse_transform(X_E)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot the reconstructed education(x) and income(y) from the first principal component, in blue."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(X_reconstructed[:,0], X_reconstructed[:,1],c='b', s=35, alpha=0.7)\n",
"plt.scatter(educ_coll_std_vec, average_income_std_vec, s=40, c='r', alpha=0.6)\n",
"plt.plot(trains, predicted_train, c='g', alpha=0.3)\n",
"plt.plot(tests, predicted_test, c='g', alpha=0.3)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 16,
"text": [
"[]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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lpQDceuutnE+vHMgZFhbGihUrmDdvnse4ms1FxNLu3bB+PRw9ChMmwPTpkJRk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\n",
"text": [
""
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the principal component line is steeper as we saw in class. The principle behind the projections is captured below in this plot from stack overflow that HP showed in class.\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">YOUR TURN NOW"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Regress the variables in the other direction: ie the `educ_coll` against the `average_income`. This might feel strange to you but remember regression is not about CAUSALITY, only about CORRELATION."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#your code here\n",
"clf2 = LinearRegression()\n",
"clf2.fit(average_income_std, educ_coll_std_vec)\n",
"print clf2.coef_,clf2.intercept_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.89406566] 1.99131419306e-15\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a similar scatterplot and fit line for this regression."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(average_income_std_vec, clf2.predict(average_income_std))\n",
"plt.scatter(average_income_std_vec, educ_coll_std_vec)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 18,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fvjPf+3zWAZWhYOpum82Z6bp5yYslvubswzUbN5ZuvllassQajx3rnUKKO5zM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\ndOiQNf7LX6T+/a3iCgAAL7O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"text": [
""
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Part 2: Logistic Regression\n",
"\n",
"From http://www.edwardtufte.com/tufte/ebooks, in \"Visual and Statistical Thinking: \n",
"Displays of Evidence for Making Decisions\":\n",
"\n",
">On January 28, 1986, the space shuttle Challenger exploded and seven astronauts died because two rubber O-rings leaked. These rings had lost their resiliency because the shuttle was launched on a very cold day. Ambient temperatures were in the low 30s and the O-rings themselves were much colder, less than 20F.\n",
"\n",
">One day before the flight, the predicted temperature for the launch was 26F to 29F. Concerned that the rings would not seal at such a cold temperature, the engineers who designed the rocket opposed launching Challenger the next day.\n",
"\n",
"But they did not make their case persuasively, and were over-ruled by NASA."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image as Im\n",
"from IPython.display import display\n",
"Im('./data/shuttle.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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4Hi3r5si8EbtFbJcxrBvHYroS2MDGFfjPqNRBF6MhUa6Pm8vb9HPZvVvdHg+r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\nvYpqHTNl5DzNbo8+Xh5V46lpsrGM0UgBtDEt1V88F3rJEb6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YA4CmPIQ3+xYdgPGx0qJl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5sP27FN3p12Y7lTNltGtn/7I1v41u2R9z3O+RMUB3+V4XnPPx/rQ3TAez7Fwe+82fxSdmPu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FcBTabX4P8mwMVrgSOIn5Y6xS2x5IOtBLX0mjSGErftA2z4OwlDy0UnHKfsdBTIKB1HBm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\nk0sAAAAASUVORK5CYII=\n",
"prompt_number": 19,
"text": [
""
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The image above shows the leak, where the O-ring failed.\n",
"\n",
"We have here data on previous failures of the O-rings at various temperatures."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data=np.array([[float(j) for j in e.strip().split()] for e in open(\"./data/chall.txt\")])\n",
"data"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 20,
"text": [
"array([[ 66., 0.],\n",
" [ 70., 1.],\n",
" [ 69., 0.],\n",
" [ 68., 0.],\n",
" [ 67., 0.],\n",
" [ 72., 0.],\n",
" [ 73., 0.],\n",
" [ 70., 0.],\n",
" [ 57., 1.],\n",
" [ 63., 1.],\n",
" [ 70., 1.],\n",
" [ 78., 0.],\n",
" [ 67., 0.],\n",
" [ 53., 1.],\n",
" [ 67., 0.],\n",
" [ 75., 0.],\n",
" [ 70., 0.],\n",
" [ 81., 0.],\n",
" [ 76., 0.],\n",
" [ 79., 0.],\n",
" [ 75., 1.],\n",
" [ 76., 0.],\n",
" [ 58., 1.]])"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets plot this data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"temps, pfail = data[:,0], data[:,1]\n",
"plt.scatter(temps, pfail)\n",
"axes=plt.gca()\n",
"axes.grid(False)\n",
"remove_border(axes)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Jn+Cee+7RZ5995jsuLS1VfHy8rrjiihb7//Wvf9WIESOUlJQkSWpsbJTL5Qq2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\nq2unyHQipdQAAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 21
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1 represents failure. This graph has a classic sigmoid shape, so one might expect logistic regression to work. Furthermore, we do want to find the probability of failure and make predictions from there.\n",
"\n",
"Logistic regression is carried out in the same way as linear. However, there is the \"pesky\" matter of setting the regularization co-efficient `C`. We havent still covered this in class, so what we do today is just a preview, but its nonetheless important to see.\n",
"\n",
"The default `C` in sklearn is 1.The meaning of `C` is: the larger the `C`, the lesser the regularization. The smaller the `C` the higher the regularization.\n",
"\n",
"What does regularization do? Larger regularizations penalize the values of regression coefficients. Smaller ones let the co-efficients range widely. Thus, larger `C` let the regression coefficients range widely. Scikit-learn bakes in two penalties: a l2 penalty which penalizes the sum of the squares of the coefficients, and a l1 penalty which penalizes the sum of the absolute values.\n",
"\n",
"The reason for doing this is that is there are many co-variates we use for our prediction: we want to make sure we can get away with the simplest model that describes our data, even if that might increase the bias side of the bias-variance tradeoff a bit.\n",
"\n",
"Remember here, though, that we have just two co-efficents: an intercept, and the outside temperature. So we do not expect to need regularization much. Indeed lets set `C=1000`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LogisticRegression\n",
"reg=1000.\n",
"clf4 = LogisticRegression(C=reg)\n",
"clf4.fit(temps.reshape(-1,1), pfail)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 22,
"text": [
"LogisticRegression(C=1000.0, class_weight=None, dual=False,\n",
" fit_intercept=True, intercept_scaling=1, penalty='l2',\n",
" random_state=None, tol=0.0001)"
]
}
],
"prompt_number": 22
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets make predictions, get the associated probabilities, and plot them. We create a new grid of temperatures to evaluate our predictions at. Note that we do not do a test/train split: we have only 23 data points, but need to shut down the launch if there is any doubt. (One wishes...)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"tempsnew=np.linspace(20., 90., 15)\n",
"probs = clf4.predict_proba(tempsnew.reshape(-1,1))[:, 1]\n",
"predicts = clf4.predict(tempsnew.reshape(-1,1))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(temps, pfail)\n",
"axes=plt.gca()\n",
"axes.grid(False)\n",
"remove_border(axes)\n",
"plt.plot(tempsnew, probs, marker='s')\n",
"plt.scatter(tempsnew, predicts, marker='s', color=\"green\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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6YfUPZpcDQIQxAPA4D/YYqAAfq37YsUEr924zuxzA4xHGAMDDtAgM1t1dBkiS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\nYII=\n",
"text": [
""
]
}
],
"prompt_number": 24
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use pandas `crosstab` to write a table of prediction vs failure on the \"training\" set. As one might expect, the mislabellings come at the higher temperatures."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.crosstab(pfail, clf4.predict(temps.reshape(-1,1)), rownames=[\"Actual\"], colnames=[\"Predicted\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"
\n",
" \n",
" \n",
" Predicted | \n",
" 0.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" Actual | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 16 | \n",
" 0 | \n",
"
\n",
" \n",
" 1 | \n",
" 3 | \n",
" 4 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 25,
"text": [
"Predicted 0 1\n",
"Actual \n",
"0 16 0\n",
"1 3 4"
]
}
],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">YOUR TURN NOW\n",
"\n",
"Carry out a Logistic Regression with scikit-learn's default value for `C`. Make a plot similar to the scatterplot above, and carry out the cross-tabulation. What happens?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#your code here\n",
"clf4w = LogisticRegression()\n",
"clf4w.fit(temps.reshape(-1,1), pfail)\n",
"probsw = clf4w.predict_proba(tempsnew.reshape(-1,1))[:, 1]\n",
"predictsw = clf4w.predict(tempsnew.reshape(-1,1))\n",
"plt.scatter(temps, pfail)\n",
"axes=plt.gca()\n",
"axes.grid(False)\n",
"remove_border(axes)\n",
"plt.plot(tempsnew, probsw, marker='s')\n",
"plt.scatter(tempsnew, predictsw, marker='s', color=\"green\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 26,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
""
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#your code here\n",
"pd.crosstab(pfail, clf4w.predict(temps.reshape(-1,1)), rownames=[\"Actual\"], colnames=[\"Predicted\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"
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" \n",
" \n",
" Predicted | \n",
" 0.0 | \n",
"
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" \n",
" Actual | \n",
" | \n",
"
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" \n",
" \n",
" \n",
" 0 | \n",
" 16 | \n",
"
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" \n",
" 1 | \n",
" 7 | \n",
"
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" \n",
"
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"
"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 27,
"text": [
"Predicted 0\n",
"Actual \n",
"0 16\n",
"1 7"
]
}
],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Logistic Regression with cross-validation\n",
"\n",
"We now actually go ahead and to the train/test split. Not once but multiple times, on a grid search, for different values of `C`. For each `C`, we:\n",
"\n",
"1. create `n_folds` folds. Since the data size is 23 here, and we have 5 folds, we roughly split the data into 5 folds of 4-5 values each, randomly. \n",
"2. We then train on 4 of these folds, test on the 5th\n",
"3. We average the results of all such combinations\n",
"4. We move on to the next value of `C`, and find the optimal value that minimizes mean square error.\n",
"5. We finally use that value to make the final fit.\n",
"\n",
"Notice the structure of the `GridSearchCV` estimator in `cv_optimize`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.linear_model import LogisticRegression\n",
"def fit_logistic(X_train, y_train, reg=0.0001, penalty=\"l2\"):\n",
" clf = LogisticRegression(C=reg, penalty=penalty)\n",
" clf.fit(X_train, y_train)\n",
" return clf\n",
"\n",
"from sklearn.grid_search import GridSearchCV\n",
"\n",
"def cv_optimize(X_train, y_train, paramslist, penalty=\"l2\", n_folds=10):\n",
" clf = LogisticRegression(penalty=penalty)\n",
" parameters = {\"C\": paramslist}\n",
" gs = GridSearchCV(clf, param_grid=parameters, cv=n_folds)\n",
" gs.fit(X_train, y_train)\n",
" return gs.best_params_, gs.best_score_\n",
"\n",
"def cv_and_fit(X_train, y_train, paramslist, penalty=\"l2\", n_folds=5):\n",
" bp, bs = cv_optimize(X_train, y_train, paramslist, penalty=penalty, n_folds=n_folds)\n",
" print \"BP,BS\", bp, bs\n",
" clf = fit_logistic(X_train, y_train, penalty=penalty, reg=bp['C'])\n",
" return clf"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clf=cv_and_fit(temps.reshape(-1,1), pfail, np.logspace(-4, 3, num=100))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"BP,BS {'C': 521.40082879996839} 0.87\n"
]
}
],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pd.crosstab(pfail, clf.predict(temps.reshape(-1,1)), rownames=[\"Actual\"], colnames=[\"Predicted\"])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"\n",
"
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" \n",
" \n",
" Predicted | \n",
" 0.0 | \n",
" 1.0 | \n",
"
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" \n",
" Actual | \n",
" | \n",
" | \n",
"
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" \n",
" \n",
" \n",
" 0 | \n",
" 16 | \n",
" 0 | \n",
"
\n",
" \n",
" 1 | \n",
" 3 | \n",
" 4 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 30,
"text": [
"Predicted 0 1\n",
"Actual \n",
"0 16 0\n",
"1 3 4"
]
}
],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot our results, this time also marking in red the predictions on the \"training\" set."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.scatter(temps, pfail, s=40)\n",
"axes=plt.gca()\n",
"axes.grid(False)\n",
"remove_border(axes)\n",
"probs=clf.predict_proba(tempsnew.reshape(-1,1))[:,1]\n",
"predicts=clf.predict(tempsnew.reshape(-1,1))\n",
"plt.plot(tempsnew, probs, marker='s')\n",
"plt.scatter(tempsnew, predicts, marker='D', color=\"green\", s=80, alpha=0.4)\n",
"train_probs=clf.predict_proba(temps.reshape(-1,1))[:,1]\n",
"plt.scatter(temps, train_probs, marker='s', c='r', alpha=0.5, s=40)\n",
"train_predicts=clf.predict(temps.reshape(-1,1))\n",
"plt.scatter(temps, train_predicts, marker='s', c='r', alpha=0.2, s=80)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ICQl3hHBWl96c1aU34D+1ubVoP6v37eK7/T+yev8udh06wMq92ykpO9joXQ9ERERhTESC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\nAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 31
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The failures in prediction are, exactly where you might have expected them to be, as before."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"zip(temps,pfail, clf.predict(temps.reshape(-1,1)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 32,
"text": [
"[(66.0, 0.0, 0.0),\n",
" (70.0, 1.0, 0.0),\n",
" (69.0, 0.0, 0.0),\n",
" (68.0, 0.0, 0.0),\n",
" (67.0, 0.0, 0.0),\n",
" (72.0, 0.0, 0.0),\n",
" (73.0, 0.0, 0.0),\n",
" (70.0, 0.0, 0.0),\n",
" (57.0, 1.0, 1.0),\n",
" (63.0, 1.0, 1.0),\n",
" (70.0, 1.0, 0.0),\n",
" (78.0, 0.0, 0.0),\n",
" (67.0, 0.0, 0.0),\n",
" (53.0, 1.0, 1.0),\n",
" (67.0, 0.0, 0.0),\n",
" (75.0, 0.0, 0.0),\n",
" (70.0, 0.0, 0.0),\n",
" (81.0, 0.0, 0.0),\n",
" (76.0, 0.0, 0.0),\n",
" (79.0, 0.0, 0.0),\n",
" (75.0, 1.0, 0.0),\n",
" (76.0, 0.0, 0.0),\n",
" (58.0, 1.0, 1.0)]"
]
}
],
"prompt_number": 32
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We note that the true story was even worse than our data made it out to be! We did not take the severity of the incidents into account. How could we have incorporated this severity into our analysis? (these images are taken from Tufte's booklet)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Im('./data/chall-table.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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yKMPOjVvw0ZnQcbDrhQmcPduBN59X2GYUvIm6ujocfvPPxDoNJca+mEK3493n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R92LA0X3ngwGasrjimZzo6be6QbhZl6alj+BSfoDGz16q6khjE1HevTU7EkrRgW7jWC55I34qWY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\n",
"prompt_number": 33,
"text": [
""
]
}
],
"prompt_number": 33
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Part 3: PCA"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from PIL import Image\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You are an ATM and have to distinguish between cash and check. Its based on a check/drivers license separator at the yhat blog (http://blog.yhathq.com/posts/image-classification-in-Python.html), and a fair bit of code is obtained from there. This problem is a bit more interesting as there is more structure in the images. \n",
"\n",
"We standardize the size of the images:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#setup a standard image size; this will distort some images but will get everything into the same shape\n",
"STANDARD_SIZE = (322, 137)\n",
"def img_to_matrix(filename, verbose=False):\n",
" \"\"\"\n",
" takes a filename and turns it into a numpy array of RGB pixels\n",
" \"\"\"\n",
" img = Image.open(filename)\n",
" if verbose==True:\n",
" print \"changing size from %s to %s\" % (str(img.size), str(STANDARD_SIZE))\n",
" img = img.resize(STANDARD_SIZE)\n",
" img = list(img.getdata())\n",
" img = map(list, img)\n",
" img = np.array(img)\n",
" return img\n",
"\n",
"def flatten_image(img):\n",
" \"\"\"\n",
" takes in an (m, n) numpy array and flattens it \n",
" into an array of shape (1, m * n)\n",
" \"\"\"\n",
" s = img.shape[0] * img.shape[1]\n",
" img_wide = img.reshape(1, s)\n",
" return img_wide[0]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import os\n",
"checks_dir = \"./data/images/images/checks/\"\n",
"dollars_dir = \"./data/images/images/dollars/\"\n",
"def images(img_dir):\n",
" return [img_dir+f for f in os.listdir(img_dir)]\n",
"checks=images(checks_dir)\n",
"dollars=images(dollars_dir)\n",
"images=checks+dollars\n",
"labels = [\"check\" for i in range(len(checks))] + [\"dollar\" for i in range(len(dollars))]\n",
"len(labels), len(images)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 36,
"text": [
"(87, 87)"
]
}
],
"prompt_number": 36
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets see what some of these images look like:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for i in range(3):\n",
" display(Im(checks[i]))\n",
"for i in range(3):\n",
" display(Im(dollars[i]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"jpeg": 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"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
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"metadata": {},
"output_type": "display_data",
"text": [
""
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"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
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"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
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"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
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06j8TzirDy295NGsbtFbQDEAQZLAdT+OP0plrNLd6n9ktHhEu4+c5Rijkfw89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\n8D0oA//Z\n",
"metadata": {},
"output_type": "display_data",
"text": [
""
]
}
],
"prompt_number": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What features might you use to istinguish the notes from the checks?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is an example of transforming an image into its R channel."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"i0=images[20]\n",
"display(Im(i0))\n",
"i0m=img_to_matrix(i0)\n",
"print i0m.shape\n",
"plt.imshow(i0m[:,1].reshape(137,322))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"jpeg": 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"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(44114, 3)\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 38,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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BqWA76MgDyM1voROQO2KZsvcFshhqXB2MzjlVSC8ilnMHzASyaIe+k12LItmj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6dceS5w+2lYruK9W/dIEZxbN1+P3M1pY6x8Dbptckv18jUX+EjSYgRwAFRTA1ojYZLd9AnW\nQ6SBspK0I1khWOeGfcOQpCmoqP9+yx5USlDzYFiJm9zdmaE70OsKGeIDFZWDP7lpMkCV+LBpqliU\nzX3YLNXKE7YpsHSd025gzkpIDb6S06k670zdMayUvpF58iAr2pzqwXPMpizwPbJs6TcA1dT53J00\nLkiw/RRApZznE7S364cCpJQFU74pNg3oCHQX2h1ZMy1znboxdFHGxRea63SABvQ2oG3BlIZm0r9j\nd7sWeGaDEGRla9ydde59p6bv7PMpRK52PYlD7WxI3rQshQXkwtbgAWUAoA1Gt9exLly3LM7Ps91R\nMHWsVvjgZvywi9S3M6NvR2q6ZpID5Koaql7E1LWLQoe3oD0d0pvywYM48dBNjUoSmNYwAnoGxqrr\n7PSlNt9UZ4XqlS7+ukilerPNbGuRwzveZ8eIAJQ5FtjRvcZIu01lNYIybMyOsPfgWSIvpEKH/Zxl\nT3SJ6XiZ2noHdY5+96exIrw1ozjWobeoCbtRFpv10LExvN4q9fU2o9c3GR3a7D/HBiQnIOr43Fd6\nn6mJ62wwyq4rlxlbEkA2q5Y4VP+IydoyD/AeQ70uYS9lfbxGty5mbbWeUEd2ZiQJ6MC4+Z1keVZY\nBRFZcjvf54ZaR1qLRZ2Yv8MimApkN0iQGqBzi2HWaU7zu81V/O7GFfe7Drm7sSgAnlawlfSDGRek\nDAJD7u+LL/sb995vxUwNAlmDjnMVcvE+3d9tY9xt24rXctmT4vkH9cUgm+dxcxOWmg+dsXPdThqy\nUg+2lhv0h1b8IoTn7bSftF9v9nsXQLvfu2LPekAy5kBLrMwT9LPByqOvjEbom+3wGABrOt72rXuN\nEiZmbQBqVsqsVS/fTGDvMVS5UZSVBbM3am48MeA424zoTig7eX1IPUmFkcZkWastcAlwzl9oxXUn\n/ij6mY+k/5UxSM55PHO9ZxT9tQRv7JI8PcM2E+GGexrEtjiCIjDMYl8LHHYtMKyQSx9piQ9NtcNy\nKvPIiv5cXAaZJ10Bt5CnZ4y5dTynZeUg9xZkYGqbZ79BkKWSsT+226JvZnV6N/atvaZS/X//PNvN\neJxftl+2X7ZfULvTyv9OMDe/bL9sv2y/bD+v9ouWaXc2ZqoLx6rcXsBG0UIpmvLW5+vSokU/SNE0\ntsFtAOMQVeDKMiQN2LkAm5dTLrzWQwNNb5lfCf6ckU5CbWmDuAzeWMrdu09Tmxb4Prd8ndJKj2QF\nkgUIFqF8rseO89cZR+KdqmubeCtd1HpKtwMrHoST1/nkzldIPR8/iRjfuM5ItEJQSlAN4Dr9loql\nYS/BegJXT0H3Ox1m188zM7MCwBvHmzy4b5jwozVWViGYhPKQZNNVCnQT0ssQdrrM/ptFmG4SxxWu\nLKyytmK6bWaLvadPE8dN3lvsEWylhD1NebhHYCLMox9EREiagWoXhtbECmi3yYpPzsQS16VjsY7a\n3TyewA6PUuI77xhKXWs53lo4cZIX5rQ5Xlz6NqOMMexEas7jDHlKbl3Z3V6W0XcDVO0rC1dIJFN8\nan7wUgyPB2a3oM7dSq6x6F63GABrg4ldJqsYe3ArV5z7ubsc3PciI+Uj7MMgZqqvmrpz/z+pe8p1\nY95KmLn3oYDXNHzWuJp8X9wFJbM+E8S9a7dUx+QbDNx7HBRacat7KN7nT+uWu9V1iu12xB7kBLqd\np25RbLfM0KB5A/IsL/bg17ZA+7Ku0p68Z9dwdkyoUOJWymk+LxKdZ9QOPKlCEFjXmNOBypdA5orO\nY4QUJm7IN7GHVYQOtp2ASe3QlQTBPfI46L6xsR2m5Dl6yqwl7agHT3Z5qlRyKwWKLDcX5PMjO28J\n8US4A2GYmbgn8irWN7K3tq9f1vDEbWjtrCKH58QrmfuyzImNKRvITNl+1vTHFNjzW/1nzz1Ef0qF\njvRTqSdj6/lQqeSbgAKbSbgDugVJx+TrMqdIMTJOmR3WmizNhbtWPMiKM8eJiYVy+laRx1LZ4bSJ\nT22zu/9eBp6LxTVZKhfYONclm8izKp+8AHgi89WWg/tFMFN3NmbKroBb8fJFzWC1j20WFLmd7e7b\ntKPt+lTshLSBfHPQHYNTr3j0rsPYJVjvpJxdTkg1DIXX+c9n/hXTQHvJ7CyqaB549AMeOvhB3712\nr0PvMujLUKp22X3yKkqwFO1T0DkvLsJ2AJcWYHjoCs/vuSJb/3vQvCR+bmYhnQFvhr4tsnoZktPQ\nWpNNhec/gvhSm0+9d4odQ3JMaxGeTOHaKiw2JR5iZBhK0zm9nrag3Ouy419cw+9BqwPnPLhmFtj+\nyQafffsDLi7DqydMVnIN++Muo6ZPtwLYrEAtgXoEo8sQeYqVUMnOFKCcaoYTTRpJwHDDLOwsrsUA\nq0jLFt5sccb9E7S4IFyAoZHfWzra9Yi67LXdteeGSLgB6BZI2QShngKdQNzK3QZKS/CuNgvZd463\n57AKz7qnosJ3Vji5U9sFU66scIHioGUySIm6gMiez4IpvyBUbIwazn0Mcj/eTrvZ74pAb5Dij02c\nWxCYuB7zI5s53xbItdu9XWChyD02t2ouyCx+7np7fhat6Kqz7XbPbwPqbVxUl37Xqavg3Wfvcw8m\noBsSaJxq+d8qdd832/GNRRAiYQ8uUk0TCcQG4yIsCegqdrZSEFRk/CqODFYZmkdqZU0hWw/Nguyl\nsNqW5L8d8jyNN4ApYz2kPnSUzIOSzpW0MmDKbnqxtezt2rHrIBv3srmYGyCWSkdHHQFTdn0MNH7U\n9mvElVVZeh/I8t5Z+ZGBKS9/hhv0nRUWZheNKk4ee5ytYTcKpua9SSQGQQ/KTSh1pY9qdQE9QO5X\nbUG6KbmsenG/Gg0RIFUPyErGNFMxaiCff2Eg8rEbSfydWzzY98y6dtywNk0R5AHpaSpuysTEp3qx\nhHhkz2p1vtnppyITNmKOieJ8t+IvKnnnnY2ZMor/toCUNeWLUtBdpG4UsWuyDvq/cM21s7BUCVC/\nMYN/7xCXyim1hQ0eO7kMWhNqGI0hvgTNVSjPQOV+M0kW5BxJE6JlUMuC+K/9CHqnYWcKdXPtsAtp\nCa43oBPA/IgIyPcuyi2FCuaqkFbgxJoUJ73HptQ3Ce6ut+G9BoxPw74nYWIc0hEYcxDCsQ8gfQ/G\nxqE8At1lEYbJFpIJtw7+3wOmwXsbxtfgnhR2HIHWXXKO9kV48wWozsHnvowk21yFyt9AcM4M3bOg\nPw/B28BxqfG3eW+d2lemSIZ8wm6K/+IS6vgWXmCsFsy7GUPPk7w4VSWlL7QZ38DJfpwYH362Q8RY\nvdaK0cg2+W6SgwGPfvAQGWQS+jBsFl6UworOt9Rb8DLrwXAoGZpLgVg8ylznwTZc7ubxX4Nidey7\nnZouWLvBOv4Yzb3mIHCA851lA7Nq8iZWIipud9qmWV1WPG+RGC4a1vY7F9TZv90++CQ581JG5ogN\nmI5TsagtELXj69pVdud8keFz9X3x+p7zwvmdHc+Pw1Ddip1zQevNWKrAl91anVjmt2ssuHrWPr/L\nVnpIIPczwHonf9bAVe6erDlVQhgj+2NHZqoYfFvPR5EnTh70gMawVRX6KR37GkKK5tpdBQjIa6u8\nJmPWF+6kczooY0CVeRbzHMoa1UoMtpoJTPasYsXIHl9kjldBmKmiTkhzJa+0iRFzgJNdS5/xBAj6\naX9XKMQQyGI9TX955CyMr+W5raIvhVKjsK9vA+dlJ0yFfjTtWlt290GFHEyZY/x1KK1BJZZrKJsq\nQ2Gqhst4pC3JraUTZ6ODEnldLkOlKmOXRJKrKnb6FjMOBGSlj9y1FQTyjJ4F4qo/ZkprKMfCmn4x\nlfuI7Unsiaz1qsgt1i59A5B5KMjlz8dpbq3f7drfjTxTt3LHuVLPHlecuVaqutLJXYSuJFcm0LFD\nVu+uGUOrHhB/ZgfRZ8dpRquMXWqz95SxhmOfjcYwrZOKXqdJMB/jPZzCWTIwpbuQtiEYB38HdK5A\ncx2iQ5COmkcdD0h2BbRWImKlmd4d0GhqNi5FpKnsgpifBF1WLHY8/FALV+nsve9swfUO1Mdh8mFF\neHCY9myFVjemYwpiVbodqufbQsdHoCvQGhpibc+kSIIxCL6YEu6PKY/38FdSyp6m/lRM8KCsjnNv\nhbx2tsrB+7t88nc2STyf7kLISnOY9rjwzOXPp9R+N6G+s4We7NH+oMTm4ztY+IeHScZLlLZ67O+8\nSbSwRXNDAE0AhGXJiQLk2cox7LUZK79mrF+EGeolIpx8TwChTslqd2kg9sRaspuE3CEHGWtfG+PO\nN2wHee1U2zQQG6ARGHeGZ4Sq1pJrZTXuZ1qKitBlDNwNq67SLE7jQVOXwvHFVjyfO+WLjIg9rwum\nPJXvEsM5T/HetcpfbrNBrAqytBRFi90FUx45MFU4VjoyHpYlDLSwoBkzRS4c3VQM7r1aGesyckV9\nP6i/t/v8ZuD0J2k3A0zF6w4CrBjL2s5ld7xcwGdxhGVgwKwBo7B6Nv2BUeIWqHpKmCdlTpbVeMNh\nVwyA6gvsLnawHZTYsLFp/3zxDShRPrLrzEG59tmtGFfmQx0blh4BdHbwlWcSQqp+pRmlxoApC/tS\n8SHZzFk1e6+eLzLIs+VV3KYFSCRpzkop5zDLdGTpIey7LhhT5nPfgDybkd7OeVuM2U5i3zegq2iN\nuPrN3kjoXMguCuPuIkbAVMGVqirSJ4EZN+WWi7EL1MmMnwWom688c49BCF4gmwDCJN81aK+V0h9i\nocjnkc3rpcwLr7AmtHyuDaBKU5m3umjZuMK9C9ony59l+zYxF9d2XhYWX5E5VG6f29vZTkgMaHc2\nZqoNxyyf67JKcKNEcx8kLRzXQibFMLlGcX0rgfnOsjsb0G3AlRVom2MmPgdzXww4cWAXnW6NI0sn\nmU1WUHvlRpqqxhuVR2k/EXDPrxzHa65Bqy3nNvWl/JIUKFa7gGnY9VcQLUH424refnmANUZo9IYZ\ne38Zvxez/uAE/kqPB360ConGS2GoA90pn7ufqDJ8LYbX2nAGuCzXmenApwOoVyGtebx71xFOH97P\nmClqDLD67gf8g0fb9I5DvArDQ3D22EG+/vtfolOr4IUplT0dxmrr7PjyVaq9Np7SjI+tMTIiPsmr\nRyfY+p8O0Ry+xPqut2hRY3F6mtf/u6Nc25wHoDrXYWRii8PHPmDqoUWubE3zztgj/GDoedrUGA63\nmHlgjfGFC7x9AcpdOKQkhUJFskXQa0JjAVRXaGRtFlStLgnsgAxIRnFed8vmT7GWjc2ua2NLNP2L\nIcbUy0vF3Yg28RA6I/0ypqmRgu7B5DqMlKFWy5XIKwnsJSdDPfoNW9f9aElVK/usTLRGpF2/rhJN\nGaxki+yJK0et+9DVGe7LwwAYqzTtcUrSTZSc41wmp4Io48AIej8wita5Ges2ToyytorBLS6bySlt\nXEzGbWTHJ04k/uQIknyz3XMEnPmdTvOlb43Somiwu7utAhwETtzPBj2z/fxn0Yqg+FZMl523btOJ\nmfNpXlqt+Bt7fsuCunq4ncIrHny+ImMf9UzC2pjMBRjHoJuAL0xPqMTVZ3eEBZ5hdEKHMbZMlh1c\no8j1FjSbsNjpf96qB1Nl2dqvhhA3n9nOHkYwrPOdZmXz3GlLGBAQBe5VgarIhYkQGh4sm521XgLt\nJox6MDIuYMkCxMS4E1Nt1l0oYQ8ockPVVkHoQWoSdUZaXm5/YuxbpWTOPukAqQxXaJPd25Nx85UB\nEI6g0GanYM+AttCwr35MPrFt3ILr1jKANRt0V9jY5KyWacIc2wFtSl8liTx/cZ7ZcwQlqI1IX3Vt\n0k5t0tF0zfww7FIlIE9fYoBPz8labtOc9IVnGO9BllSUHARlwEvD93pwVAszlXZzYK4CM14ODW2T\nf8ZmDC2QL/vSdTa+tc8N7sgXb8B9urUGMee4WbvzMVNWmmnnVTxmUHM1j6WfU+e9iGR9pPNriF84\nhZ5T46izp0rl6WEmyw3iUw3Uq+vEsx2SJ+WcTb/KW0MPsVkaYvjuLYK1EH19g62hITp7RRWnVUUy\nHjA1usJMdQm2qqxtTvH+Y/eyNi/UVCMdoxNVuW/8I6ZZpHeXj9qAYGofKgEvSRna3CKa8Ll2dJr5\nC4vs7n4ktUpMBeKqDzvNVthUKa6PzHBi9h5qtPDNKhueXIDWVfSH8pwNH85NTPLGE4/SHq7jkzDD\nIlMsszY0xg6usoeLhJ0epY5Ir6Q+xPXHHmKm4+FvvUl7uMLC5CzvTT7IGcQXuIvLHOAMl3fuYGnn\nJB9yLxfYiwJK9AiCiObBKo2rw4R/06KkktyStgsoFWHuKfDKIjyTRILYO/aYrihqt0RMkuZBscXp\nY+WNtZLsZ5Zm7yT59MkYMRz2xij9XiL3YAHEDQufWxOsLqlqWRoL2gYdX/ybwnHutd3jBwrHYhtw\noNWHLgnsKg+fnCkKUrKEiO45Uy3sHcg4FY9xtyi7dc3sIZZ0SMgVWPHZXbega2u5rTgW23WB/e0g\ngFMc14/TbjWmt/pcYwC/ma8u0woDIxZu6BMLtgOjPBIlwNT2cYK4D62usPPTZWNSX6x/IvO3EmbD\nszJXiYJOE2HO11qw3MvBcgDowFy7hWTXtvE9CBAqGaPGJmdVGqmfapkVx4Xl+zBUgm4oa9TmgWpF\nAsyGzGJXvnk5feMhwEzZiW+tELMgtUnzUtzk4uaSsoZaRF62pm+dW4NDGXmRmD5z14QBLqWysDx+\nCWHsXDeeBUamdmFmiblkgms92EWcICAR875lwlBMHj9fF85jF5+W/grKJgWDeeAUsy4TSQprc2cF\niqwUTKxyVtTDuJE1fSk4LBh1J26WxNl85KlcztqNRGksxi3Iu9cjp2JdYejIeg1Z0uib4aDtUldo\n6EtuWqy4UWx3NmbKMDoDKU2c/2+n2QGyYMp9cMtUxfkxnidz1h7WmB6lsX+cBy4ex395k2v/okv6\nadj5rEyuTVXhXR5gMZlhl7pMPBqwMbTKhb17WEqFYolUSNur8OTyj5heXGb5mXFeH3qU/yP6p5xo\n3ie30gwpdxOengZs5S0AACAASURBVH+Bh0bfYl94jo3KKKfGD5HiUaLH/vQ8eJpT5UM8MfsW9z95\nEnVNy64+QDXAa5Ehhm5aZo0xrrCD2Azpbz12Dq4fxw/FCj25Bh82yiymk3QYokSPWXPCK+xkluvc\nz/uMNbaorQoNtFSf5+LsHnatX2X0bIvFuzwa1REWmOMiewDYyRX2cJFNRviAw/yQTzFCg8/wPaq0\nCfyY0u4Wm3fPcmTiCl7Yph1D2sgVBCamoVSD+qRUJO9uwea61IACE09lrDwXzLiB2tAva4pTJyAH\nTY7HoE9B2fVpXx4SiJlu5sr3YY3Zm/nxmj2fvf+fFRvykzbLktm+c8GUBaN2d4xvAkr9whpNjHJW\nWr5z2Su3DpodP1ufLbP6NDxCFkLzM2uDiO1Mod7m8T/LeykyYAW90ndPRXtwUHOPtyTFIJn/pFHq\nFuAW78XO9ZRcGfaRHloAj81UnabGVWb849b11dWw0pFalZs6N2BsWBKQ7wSxDAb5hdyxUZDV2ASR\nEb5ZuB4SJlAuS0C13eWZIApf24nkIfFe5l9fSdLRSmhuyhUYVqFr+urJudElttnDbW2+lH754ptr\neL6Z84b5ctkPL4TKMJQroK3LsSwgNbto2XlZa8IW/MS5uDvwyvSvTWLZAhoQbQojb4O7s4KPkCNY\nB5j5fh7X6hauTlMBnFqZeWQ617qHy4a9tNfynGe+nR11dnffJz1hTyEfE5B5QI98t4mSfrbuQzDZ\n5G+xeFLDLvrFRTmguYBvu3ZnmSmXn3ZNT1cabNf59nO76lwz0zVz7bGp85mSjh/yhQYESK+1iN4v\ncXZkP2sP1mj/bou5u9aoVpYkQFPDF5Nv0YvK3K/fp1RqE1V8diTXmU+XAVgOJjhd3s/S6AQn1CHa\nYyWSike506GeCF9aCzuMxpuMDy3TKlV4ladQvqZabQOaCh3GWCUgYY1xhkpbMKJhH7kG3wA1DsyC\n8jXTaom7OMsWdWLjULq+d5q/OvarPMC7TI1eZvcleHrkLKP8CbGWyBJfpfgk+MSMsc5JDlGuxVkh\n5GZc5UsX/poKHf52x/MM19fZG13kN9b+imfbLwHQGwm4NL6HOk12dy7zWwt/iQ4hmOuR+h5aK0Y6\nW0y21in3YrqpZDju9WDLTM44FVfEiCfWbVAWF1DclLIvIAsyKNAIxXIBfQCA/uBwO82svOg5p7KK\nBMQVYQt0epjtwalkkLbHO4l2P1a7nWn+i2iuLC6CKestjxABrBBGsRiMmWpRaGAUr+pX3Mq1NnV+\n3qKBfSvwcDvNZZUGAZgiy3Wn2yBm0n7+kwI7C4LcZlmUOJExKWaEtq5oj9x1Cv1jYcfWspCRee+z\nWpQYbo1E1ov7HCUExPjGLaQbhmlw2CAfWXdlywBpIwfMDXmJqflp6A9Vg6AF1UY+fyNEkSZNUX6q\nJKEDqpo/rBdA4GzoKdIWihwAbMdQup9bFiTwJRs7iIIuGWSVJMYg07KZJbBGRhXUqLyokvs4rc8d\nBEQVk4q6loDVnanze4XoCgt8W5BsQNQUWYYWRlG5W/W65K5Ecw7Py3f7KS1AVqe5TE4SmVNZWhVj\nNHmBAMUgFabSTZ7a50Yjd6VZA9n9zLKD2bXMb/1ImCll2TrIst57Jp4i0HkJoAxX6dwbYu9FKW5w\nMW4H+P5OM1PfbyBZ0F1zpBiAAjdKkyKt565+l4Vy/Sj2OwOm/EB2a1mrp3y+Qfs1+OHzn/z/2XuT\nZ9uu6tzzN1exy1PfWrUEiBoMpjQPuAhe5nM6cCOJyBdhN+x025FNN91whCPsfyA7bjjcSHcyIg0Z\nfo2XieAKi0KAAINBEhKSUHHre8pd77XmzMYYY62519nn3HN1L092Ps+IHfucvdeea65ZjPmNbxST\nlz7+GJuf2CYPL3MmzHEEcj/nK4Ov0h+NcVO4tnKKNzbO89Du65wZbAPwSuchDtb6TNodfnn2UTaK\nPfqTIe90L9LLRIXbSrY5E25wIbnCrl/nB+7jnOU6X/JPkjOnHSY8Mvs17TAjSQPn5teEGr5ALd32\nkTC/DFwSuM9fZjZLGYcuhXKuT76U88IXvsgZbvJo/garHXh47Zd85uAlQumYuZyXWu9i362yOb/F\nzeQ0L7Tejc8TCasFHrz2Bl/5+f/Fz8+/j//7I/8TF/0lPrb3Iz72q3+msyMr8f956Am+2v093ud/\nwfu3n+OD//IcN3qn+Xr/IqNOF1fC5tV9zr55k/FQjv+YIGff2fh4RFhnKqCTXMKrmdRybu6FpYpl\nyrISb8o23HFaAtsw7Bw9s/6aRtlLYbNdU9RDve8gmk7PAB86pg3/1krcZ0dt4DH4sANkm3XEe1Ia\nFk0azXvZuMQb9o+Bjy+5952WJtG97Hl+U+zTnRZr61Hmujtp41HXl8D3PHxRAcuyY5jM1yqO4Ynb\nZOeoGfszQc++jP1eqNxzKqYGrbPrxD0ha4HzwkwvHDNSismo7erAkAoAanszsyxYQ7siJ7rKelai\nv4BiIBtxhijMrV7dGNdCfIss30QjktVYtopBWtKn9tl3gU/q33kqrAwoEGkJmChL6ae5ujJUczNH\nfHlPaXt2qV1W4lfsBkP0GdFntgCNVDiAoGa+ciQ+wrOZ9G1qik4cyWBgqku1ONKkPr/ReeR4Ll8f\nQD9PFscw13QmLhWGKCupArwWO7hus7HVsT+SAalvlfBJfe6yjNI0FHJ2X2xpcspMBZ10WSHPGDxV\nKhWowRkI4I2zs8Nhv6m4HJXl3sqJwNRkMmE2m7G2tnaSy09eTKqapK64XRYniaHv+BXXYWqV1Ren\nQbA6jKrQHTVpQasPQSdLeg263x/zmTPP8MHiF7TTKavTA9aHezgCyTjQfnmGuwrsw9rWgIfvu8zK\nqyO4LnWcbm3zqe6zhA9C/oGC1sszZjdzzuY7jBJZze3tKZ3xhN7vjHn+PY/zja0vcXZ6k8/f+g7t\nMCUdlaw/u0u67zn14D4rfiiOmlBrUvZMA3D7gftfusr67IBilBJUjRtdTXjf3q95x89fgV9IH6Wv\nBNp/5SGBVivw2HtfZ5jkTJ+d0j+3zUOfuiaz3/wYXh2y8+SYU4//iv9l8lUu3LzC+uUh+QslCH7k\n/e99npUPD9i8scvq67skPx2ycbrkiavfouympDPPmR9cZfgj2HlDJup9vXoRgbBSNwqYjOHgGnTb\nMtH71KaiEA77Plk0TUVK6gZ+FOCKBX2gVvq6Udd2Ew1PDjUNbFPTGI7fxCZsU/xOy73w64nv2yD/\nqu+buk2zrbb0ltXZLLakm1GEtjxPwLofW5o+X7fr12XsQ9Ny8lbKMnF13LVmcToKVIUl352kVJac\nsAiKl/VzDKzjuWB9YaRJytIgOMlFRG0uB9m8N9uw2hXWeTKBwWgxmw1ONuIWsu6MOV5Y97Fsd3KD\nLJe8RzZeE2U5JlNNSdAV0OJMWzIaLjrkeeFlD3KCEvdPjoC+GBSURc26uLAEwMcIdAzc0vc4/LeH\nCKcWC7kGF4oJJ3V2C4Uwc16dx8czGEwFWCROzkfstBqgwfrWhKumjciNtSkkpcLE1yb6Qp8rVrK8\nl3EyB/1DRw4RsU9B/V7V2b/6PmKrDIzF5t7UBEXsugNVUlSon61KOqs3rvw6nbTRGLh7UY4FUyEE\n/u7v/o4///M/52//9m/54he/CMCbb77JX/7lX/KhD32I7373u/zZn/0Z73//+2/7XbNcjJOiwGJo\nlBXruBiVN3n8JvCKryX6LmKmXI4cFmmLagT5q3Me+P6vJOlmCp0prA61mjHwIvg3odiB/MyU049M\n4VUqMLWaDFhNB4wvw+gmrLwG7ZvwMG9WzZi8CdMD6LaAruODs1/wzv2XeO8rv6Rd6imfTwM7cPpd\nO1T277PAhlZiO04Bbiew+dIemzf2FqJjHn4Ayu++QvYTpI33QXIlkHxP1L7Q9qy+si1MzVOQPQBr\n+9ckwkTB1OwK7P8YOtvXOZVdp3sFkivgriDtBM7cuMz65cu0rkJyFUZvQticcW62L2hlBvNnYO9X\n0rTVDmyuyYKz/CTZHHYHEomxP4N0FbqdOm8OCL5rRr/FpGQ81DEuj6dKnAKhBbQcrOiroxW0UlmU\nZRDH1nk47Cj+URaT2d2L8lYB2p2yF3dax1EbePOzJjN13H5Ugd/G5x8+5jd3Wm7XJ01xsoz8fqvg\nJb7HSYGha7zHddgcXga0Tlr3J6kdpWPdtXl/qIFTDCYjPbTy+c2W1GEbaJ7UJq8kESDV6ojcnU1g\nfyprrq03TlNhQXLdQC20PoR6nnjbQKPGpJlkYw9OPh7OhEm2pI3dEtGWmqeQm72/bNSJgA5jIZpb\nSLN80vpCJ4xt+PZ77wUoOKiS0Fa+hB4Rapr7z29DGFL5/eAg6SOO8hrFSHtJx1edT6WllFMo1W9s\nVogloIUeFt8S1mwhFYD1hQHVlphVK/k6h7buncZMBRpMW8Q44bU57vCcBiq/qNikF/dzCPApu07/\nD83BMCES7fvxGYDV76jnkEWnVqy5sn7LWPQ7LceCqZs3b/KlL32JP/mTP8FpT4UQ+P3f/33++q//\nmi996Ut8/vOf5/d+7/d46aWXcM4t/e7FF18kXeblZU8YP9hRtEKsKlkSM1jsUKhXecxOxWbAMvrM\nJibAKhQ5XP0GXBnDNQcPpvDRPPrtSML49waS3XfdcnqsLNZ/5Vn41bPwvkfh/lUkD5VO7GvX4fII\n3vkcPNJ/jf9t63+ne21M/ty8Xti72s7XEPp1H7hBZX6rFs6BXjvRZxlR7fKT7wigWz1Q1sUS8Kh2\nUwa48SzsjoRyn/4KXtsVB9K59ttmD975AFwZwDN/D++YwUPA5hZ0tuSa3ctw9QWxQm62oHsB9gt4\n4ZLmtfGQ7UnTH+7C+haS0X0Oiba1O4C1iUTY7QGdUo49mJWS5RoWKdZqcTQEXtOHykwWsbwIOuQr\nwFYCmyqMzdEyIHT4aC6vsa/9ZGPM/v+ncpQzNizfwI25OK4cB0QM6DbveY8UxAVgFwPr5jVWlj3j\n2zXGsc/T3YK5uDTBazzmzT7y0bv9bXgjdt9pzpsUWUe9DuQdSFQTck4j1RTFmZkwC1HKEN30zInZ\naaMXDAwGpswk5dWhPIegjt69AvHJQlkJEwAm542ZctQ5lSyNfgSmjE2KA1warlVVsTb7AD7SvGYq\nNEIQlizPowSeSDs5AEZyz8m2gKDEog8dtGeQWa4XE2pN5BvbzRvAMC6pk/FJc3GlcE2q3fo3phW1\n35JS5GRrDN1xzSbFTclSTXDsRFmu+j85ucIXkL6wY2oqfJewkGR2YQKqL9dcWTkQ1sz8/5oMa/XI\nEf64XUJOuP01x4KpM2fOHPrs61//Os899xwXL14E4L3vfS95nvMP//APrK2tLf3uq1/9Kl/5ylcO\n1XVpqOxUvOsta1GTcYptLqZq2WQzyRCf02edHpAJFzNhds0c3EDOo1ppwawN/SkCVpSOPBhqenwV\nDrRZnLhqi2+/AWtvQH4WWKNOfqOP1xlC+hL0GfLutV9SXIPJC1KXy+TIl7SHLLQBgjDm1A7oFjZi\ngsAiYyKv6qevwCcm6pDXA1YECE6G9UR3E8k47k4JEzeay+ItFOSsZdDvwdoMtg6kP/IEklUqyijz\n0C3k3XlgInmLVnWxmeaRJdDtyWLzY5305lxeSkbyNBGtMlGBV1I7vi4T+J5F350miRk71lodq0An\nESC10ZaxtlPsQXPwTKQvDsoaSMW4/1nuDYvSJFXvlGFaBkjeajuOunfcxttdH7M5twMCti/ExXym\n7rYsA0ZNJqpJXi/7zb1g/O7175aNx0nKMwiLcty4xPqqX3KtiU/dHxfEp7EzrVRMSLllFo8expdQ\nTOWYFtMbLT1D8OLgbMkWlwHK4LUBU6oQXOfEHIXKn9ZcNnpjlqdjYWHS2EXCOtHkpy3wJjMVFsci\nXmvWru8imfvNkbmMGm5zKNF7xk7tIBaA8oA6Oei89mXyWmew51WWv0qb0ARAMwShKthMqRmuNpIq\noqXjU+WAazI95gcR57QyB3Qve17SEjYwm1Hl/6r6J1WfKa2vnEtfJuHwrczMZ0eEGVAJCDPp0HMP\nbVgiRi8xsGeg2FMdVWZtmpXyOFVqD+p5S/zoev+KKWN5sdMijit37ID+7W9/m8cee4wsq3/6+OOP\n841vfIOzZ8/y6KOPLv1uGZiqVlTs/dhskcFTA0vLVKJYnbPStC9b78UJ0WKJvi8Oc+c/DGcfBb8F\nyWuQ/EjqLqZw+UA6/LEtOWKF+4E3qW1Hq8DjcCGDswPRAMgQ2kbL6RGs3YLOK4iNfBVmO7D3igqU\nvrA3aRcBcpZbZY/6YDkDSFZ/Gr1raZ2DjTPUafa3YPJruHYTypmAmzPrsHIKOA+0VIjsUflouZ5U\n+UAfLjwEyTa4ISTRYXYbfVg/C8lN+W3xJqytwEcekjb5Am7+ShxC8578P3uNQ5J6xQnQms7EBJp0\nkQM39fv48UxLjDe8eBOw4W5OkxbCSPUTOXqn3Ye8y0IiPa/mgYmXYY2j/qy5t2Nl/luWe+FI/VZA\n3FHmq5P6GZneFI/PMuvF3ZYmo3DSKL7jAObbVWIt+14yZ9ZHtn6aSgnUY25R+ZY6JAZTuQEG80ky\nG70Cl3IC411N6kgjOETBxEL0VbN4UcKcgSlN2uhiMDWWA5AnSOXZAfTbEZgK1MqtKXSxP61d0yjx\nnI/HYAHsseh2Ze7A8ZnEcYh/OVdZo+BpvStO1HNVQiEyncVtNec660QDUmqZcHPN/6Q3TjVq3SGA\nYKmPUGxCNWU9jsxRgerUnzWdUmWmjzvJKbHh52pqtDPzomoOKWeuZusqM52vTXJegUzF6Fn7TGAU\n4KdynNhc3VwmYdG9LoYP1g57T/W+Zbncx8vKPT9O5urVq4cc0Tc2NnjjjTfw3rO+vr7w3fr6Om+8\n8cbSuv52BN+cCkOyMYbfAi6qNnNJWZiLugguDYEAFzVr7SXd8C+uRt87qozqlxR4XOzL7y4Nov/t\n+oTqfMBLM2Fs/sNrwC58ewau0PYE+PYU9s/BZ1bEtv/ULWAPLubATOoPB/D5sdC3T/fkQOPfuQX9\nNXha7/+5ufgEfUsjOy5+AvIb8ON9wMPn+pDehEtvAAVcXAd62t45XNwAMri0K+8Xz+v91S3r4ml5\nd7vwzcvweAazFry4DQc7sOHFjPdcAo+sw/98PzDQ33v4mIfRAL49l4X9H0ei6f2/uxLp9j+uAG24\npALxw8CNbfjOLqQz+L0U+mN4+k1ZAJ/tgJ/Bt0s4dQCfyODyBH5SyFr9dCLa0o9SKJ3kGgL41hQO\nvPgnAXwfoak/iWh/30UWyMdlePi+vn9CpgE/0PdP6fsz+vsn2pK19xnEzPiE+u1dUjPsZ5yM70+C\nRB5+VIaBH2g7Pqb3/IF0f8WkPKv3t/b+WN9/W99/FP3erp9SP++PtZ0fbVx/1P/P6vUfOeH1x/3v\no+drfv8Rfa4f6f0+tuT31p6ArGGAn0T/h+j54vY2+y9mjZ7Vz63/fogIPbve2vspff++vpsm+4z+\nb9GBP4y+T6jnh0Vi2fU2X6y+5vd3+r/V971Ge0/yf6D2ybHv32p7rA+s/m8fcb+P6fszSD/aeNv6\n+qi+/wAZj09G32cenvByttq3huLse3FFKrp0IMmDP1CICeanyDh8OmqPC7q+ge/o55/T9+8i/k+/\nW0Iyg6dmQF/lv8r3AHyqJfvJtxSYfSbA2Sl8b0fqubiGyC/bH1SRv6SRKRfb8v9Tc2HFP6Wb67d1\nY/+MTtBv62Zt7b1UHu5PgM86YWueLgUEfk7ZtH9S68DvaD98F8k4/0QqTM63FKg8oais2v9sf9uO\nnqfQ/WAMv+MlMef31J/sYlv2mW8rxf55J0DnmxNhmb5g++tI2vPJIGzht0podeE/ndLvx0BLxzOF\nS8roWTT+pbG2L5N99JtDCQL4tJd0BE9r/9nzP60o53MKkP5JweFnFew9HWrwUiIsVQ/4fCbtfkqd\n9i/qOYHfGMgRX78V6vnigP+oLNf3lB37jI7LM/IYfDYIkP+O/v+Efv9UUbOTT5XwqqLn/5Wjiwvh\ndgF/kCQJX//613niiSf40z/9U372s5/x1FNPVd//4R/+IQcHBzz88MP89Kc/XfjuD/7gDxgOh3zt\na19bqPPJJ5/kc1/5EiBsTLKGONZYaKaVEXWmXOPpOtThV16/943fxSiyqXIZZdHgqUMJk2vARBKp\nJVvI6eamRq/rb0bATcTxPELvYSq0rTsLnINbL8J8G06fkfogakMLwqPgfxfcdUiepKKd/TV5pqQD\nbEldC8XabOrhgbR5gaa4CfNr8C9DGPbgAx+EnSH84Odiy+924eOfgIfWgBeg3BHGansmPk8gDqKb\niYCK3RmcPQ0b60j4qd7ntVvw0g2YOjGfvTeDrUzzyTgBPq8PRHl6aAt25/DzbVgPUjdAL4czK+Kr\ndGsfNjeh14XBjghgoHJsnXsNyabWkpsatFl5jbizadHOYN1OSk8Qh0YnQtwqCV7MESPTdKgdd+0+\n20EORjb/EVMUY18Ta5d9b22wtpXUCSqXsWi3KzbU94KliAOZlpWmFrdMQbPlBYfZE/vOlpy94vxe\nVu9RzNZR9172WfNYnWXXHNfft0u/cSflpEzYSctbZaZs3sGiKIxLcwwb5HF1b0d9Wkk8bxIk/cFW\nB7qrkK1TT9IRDAfif0khqRIsBYLVXUYvWxOWVxOEYVrpqLmpj8hm81tFWKv5NdjZgVem4u+YAI/2\n4QHNM+V64E6j5yQh/qgD6jOo0JMxRiwkCI5LQOTQPBw2e1pbE4QdytT0VXgWwvKxZ1RWpjoA2NWB\nOdj3Obg+cgTPKnW4JPrsI32GAezvyckR66flkHagZgkPwB8oM5hINHvFUnlxYdnZg8FMFL3NFTij\nvInLxb3DaeBTxWI1TY5zKEYwH8F4oqktXM2w2bEtaVp/5pf0s0XvDVXWnu/DujGdm8iRbcYwXoWD\nG/DKjrhnWMmBM4nsAbu+/sz6Pjbs5Gnt12ZnVlZticbuu1/7ehWI1yx3zEzdd999PP300wuf7e7u\n8tBDD3HhwgX+6Z/+6dB3jzzyyNK6nioEaVYl3lViCX67Epv5rI6Yp48pzJifje9zCtyq5tW4JVQp\nygYB0vMTZCLPhIXyI0hOg4tcy1IHsxswex56G5CcVQdCmyy24rbErrv7f0JrBBtD2dR9IedLhQJ6\nKyo0NpHFYruvtU1Bnt+HoP5RZte9NIDPrcODyELuvSlhxJ98QN3MHJy6DuwAK7A3hTd3YOMROP+A\nNnUIreuS06MDdAKEgSw6m/zrCbz/DJSam2l9LFEk+0OqSJxRAXQgrEF/Ag9sw1pXXiCTN29J1uQr\nTsx7zOTEcBO2TbOSuQlEFsdq+A3rmRmiEnBKF/sgwHFeyCLJs8gen4lJoNuV4y28OjV6cyYFvjWG\nx45DH//GSmxuaZZ4iRzyN4hKbOqwTTkGU7GsPAqo/JCaubqbEptbjhMjR4E2K/fa5HgvSmyqgJMD\nq2dQ3x4Oj6OJx2VmveZ9TDmxYLj4/gUiwyZzidBNvW6YelHQa7JEDiCelPUmZQqIgSnb5GL3WPNd\nZS5rMklkk698bhMxKQUHIyc4KQCnZpIvDr13G5GVdBA5GruScMIO1fIMwp7OqTMY2H0s/YBX4DX2\niwC1m8JKBnlf2jMbSUTzPJItiZPjcbqJyO+KbLBKGvbZSYA9B71M7g/Uhx5P5GeTAtB6rXN9KSay\nQZB4qWvIGbAz7bdWBlu+zqNV3TPWPNTkOJ3CaCL7zoJg0OJgIY/XUeXbQSwfHggpdZSj5d+wQDNE\npk+pT9CJ5/ZRJX6Ek5TbpVC4YzB18eJF/uqv/mrhs+eff54/+qM/4sEHHzz03QsvvMAf//EfL62r\ncuqK1VVbrdYb9n9CrRbB4iDFwOmo4pZc11S9ErWtm+OkhZ1A7dtluTxmsmhDhmRiRVF7C7glgKBz\nH+RbSE4mS5sdt/cAyp8rMNmg0uJCkHqDqbUFteMlWteIWuKZVhXPilzYvi0gjCEZyRlQKyv1fdjR\nv89CmWiG/j6saaSeQHp55I4ycn4qz+51wff6sGG5ULTeyRx8QhU+206FqUqdaGtnc+i1oGeahtNh\ncCoMTciG2t6eONXSXB0FZDlEmhu1mdRN84gDeQrd5WcF1UnyaUuFMjKWSU8WTm6Ve+qzowJ0r4sp\n0zaIpo+J4XSi9xhYNJNVLpE3ty3LmIPfRFm2tJbdM3C4TUe1za5p9lkTADXbsez+nsPXG6C2v5sy\nMNa3lt3Hsfx3b6UcJ8xPOnbHtcWdsJ6YVbJ2xX3fHLdlIDT+3K5d0IUzTS1ijdVcJiHU/kFVtmyW\n9z8sGg7sbDW7aakRZM5Ty2Olh1xCFfUVM52zoj6Ls9WS42fo6O+bVBhU/jmFjwJgVHaxeGlF0hzq\nL31Aj9Qz17piJcMYajuLriw1pUNZX5Pqc3eMhp+z2HGx86gBmyYhYZ2pCDUg8ns2q8cqlHL/JJFc\nYOY7ZPmfUqAcQZGqvAtqBmuCqbmw+uNC+itJGnMoUOWXquR3YOFsPvus1OsT7f8F2s8mvgpfFxZl\nfXy5Z/k6iefgQoqGaMzjI7Hu2mfKKwVh1sBPf/rTPPzww3zzm9/kC1/4As8//zzD4ZAvf/nLdDqd\nQ9+NRiO+/OUvL637CaNeDWmaySyeCC19xcwO0f9N1SxwtASznXbZtVeAN6K67ETquAM9FbhKcnAb\nymDdiOpDD4R9SFiOCvTYfWcIw/S6MD6nUwFhlto/cdBdk+uTDFGvJkuey9qXCf1rB3paey9qe1wO\nbiIvZhBuRm1VIeKuwoaD7ha0BsBLes0Ewq4KLgWzSaLHJCiQSBx1iLGCqVYHttraHQE2Vdi1NOXD\nWkeEZHVwJbJ41j083hHHw8TXlKwVp0DKzqv2geqg44XroqFbENoBxqP6IN1OJglCWxsaPYkC466O\nkwUrtJDjKq3wAgAAIABJREFUKFQj/F0PgyvCuA2DWFmbgC42YTWVXhO+Tc3/Tkos/09C3h5XDHTa\n1HeNv1nyd7PEpk27Nn6+5kZsRHFc9/up2Y9lJZafVqwf4tJC5sft2n3c8ywwIm+xBGTpHsX6ndRZ\n30TgUfc4Sfk4tS7W/F0TlJuoifs2JkBMnHWQgA6HrM1+R9wZ0pY6D4/rzXM8FLO5JU2cFIuJx61O\n051t789cg4nzEAwsGDthbh6lfNx2klS8hdyjHeoxSGYi05hRp5Px0Q2Rtrc9DEsYaiPbaNSv9Ycq\nve/TqtSVtZqb3osDtqc2Z1qzK1KpFL9QtyfgpZsIGMWAivZLohO/cr5vTk7THkth/tMCWuaYbpUY\nEOxI/sTpBA5G9X0yp0FJHTjdgXdqws5WfHzETEx347mm0IkHD6qJVCUHTeUon7hYxvT5vMFshroK\nWxe/rX3Xdo21aCRHoJLTOWLAsXVv89T5eh43ZZnNN4fM0blGoNuFWSqWKjNN3o5JOxZM3bhxg7/5\nm7/BOcff//3fc//99/Oe97yHr33ta/zFX/wFzz33HN///vf5L//lv9DtCjJqfveP//iP1XfNUuW5\nMFZqGXtkAGgZKj2qHPVdvPM01TFztGiegxTXaTy01uWMZjTzm+4oiTFUFokXAz7bWeciWFo96sWh\nbUtjhw6PSMHmrmm/sXbkjWuUu3eRRlIxUqYRqDbiJ8JMlZnYnIe78n3mJettivx24ayq5s5onyma\nryI4gmg9QUN2A7XW4yOEEYIIsZ5qc6HR/4UXs2iltSZ1YsBKK2xMdhPkZpIsg2iocxVubbStykYB\nMm42XQ0B2BxMZHF2LUQYJHLF19jLuiFSmhaAg8qk6uSGqq3R3y6q46Sb5d2UewHI4Hi24XbFnrUJ\nwpZdd7sSL5+7KTEAvJs6Tlr3cezTWwGEzfvFgP243x3ntwaLZtyKDHFy6HCnT+0KMaDaXAuVNQaW\nrC2xyTEmVVKnr2SRESg9JCW4ApKChQSXOPk/y6Gvv5kjgTN2BmueIvmdVLmsfHAjmZ8kwnRY1HKh\n7YlD5/NMHMZXSrm2FRp9arKHemM/NK/1GrywYUlbfKdiOWbsSKKyp9oL4kExYdIS8JPOJDLdwFQo\nEH/eqaammAv7NYuYwrkT8NCei5LZV7YnTj46nQubNS+EZYvBsJV4DOfKQC3M69B4ucNzMYsmfNv8\nyWxfRjt0iFiIJlAMxek+8Q1G2gmYCwgzaOxV1W06x+J0Fc2+N0YqPYFQOZED+m+iPPnkk6T/+UsS\nPbGKOHevUufRsDLR15hFeB/bT+JEQCctJl2aT287i+2CRXS9/W/qs7FpNkJzakfwprnSSuxA4jhs\nizK0HYG2IwfRvotVOr3fpVtI5EdsIjSaGBFws5HkVJrOJBXAhEXH1F4mmkoeCZkm1emWta8xPuWM\nOpndMSV29GuW0VwcI3MkX0qcBC92brT2GYiaF7VD59zDQVHntllvwWoPWhcgtQBVA1MW+GBaqzGm\nAS69Cp+dyLEYo5lor6NwCFMvywdYgSmb9ss2NcPJy5yE42IC+m43/HsBPszv6m6EyU+Az3KYkbzT\nci9YpduBupOUpv51XDmuzfdifL5HHWl2u3IUmLLnMeWgizAyCaI8rZ6DzjoygCMIO/Kj0sPeSNaK\nKf7HPWtKzQbEjIDJhzSFfBU6j0jw0oKmsgeTHbh1S+43B0515DgbtJ1pVzZWCmTf0Qi5aiFNIAxh\n9xbsH4hczB2sJrXJqdMS2ff1MXwqUtiaxYDn7UqaiA9pq0FvWMZ0FzuQtanTTliaHHXYCm8CV1mw\nUngvLg1TC6pZYnK0rTAF+i3Y6us2aIqol+i8WaG/57BsqoCw3npInQPUujZ2+q6eLaojPhfxaQ9f\n7Arb6eJ91giCGfgxjPZhOBG/OMvzZftErwXBwcFMwGjM8KbJYdbJgKu1JU0FcJl/3pP/xz10QP+N\nFAM2BlZiydHcUZap6xVdcocl5lxtJsTqVzzKsf3CQFB8ZhIs+kUdVUySxDNvGeiK0btn+XNbHbaT\nxSqsAU+jwjss2Juch6wHbgTZCNKJUMjTUIMN0zirybXkcUJT5YWIY5U2z2cCaJIjVGyL1DvqLCcQ\nLSJHgF2eQbsFWQuSCExZVJ4v5X7TuSZv0/bNQs3qZ1CdNO5iMGt/W8b4WOLYex+STcnSnsygPYXV\niWhHoKBtBiNf59HzURVxvrmYkYnJvuaG1hx+u/YEGPW2JQ4Ouptyt1qZ9ckygvpO23G38QExY/JW\nS6x/WV1NUuG4+u+2H5ptuZ2+adccx4KZqCqpQVVANqxgMjHRABE9D64MsF+KPmcEeiwiFupWJsBB\nddCxFTPPE8TvKR+ovGhHlbXBqQJo+aBbdnQY8oHLoZiIMtla0eitWAZHe0EFiIM41FsbUzU/tVvy\nyNNp5EfU6LOIpD+WbTYf0zjSzamQKDSlRFGKT1NufrqaWd6pi4yzCEfLNgy4GaRjYfIqORtq4IE+\nnzFp8xL2R3JdlfcpqBUjULkxBGr2xp61Evuhfm+a8+P5FY+5Pa8BmsxBug7uFIs4QK1Bk5G4bYxn\n9ZmBdomJc1POk0Dld2vtaEYWVme9Rg305uJii/mY8raCKcshBdQQ3sBUDGput6sk3BtJ3nRiiQCB\nOAhR73zmW2NgBerwsdiuswz4ORb57vgZl4EollxjdTWZOi1V38asSvzbIBpaquc9JQOtzlP5NeSZ\naHK3PQjyGClt9vF5cZjZqrSBCEzFlGtc8lRSG+T6anWQpKim9mh/eY3QmxYwnNZpFKA+m69a9E78\nBJyZma2/TFrYWDae7+J98l1eiN9bdwLsQ9iX76e6gwYvP00aVcSgKQZTND4/1JeNOo4iV++02OG1\nd1PuBRizHGFw92DqTonqZXVYO+6mDiOG4TD71PQpWzaO8Vy5m/JJbj9XTBSdhO205zLmIaBgSlX/\nIsj6C7rJ7es6XKcGu/GyWwDRxqjohm8bukVrlUHMUasD9d80a0ZAZFlb/V0UNGQtajO+DkIxkRQC\nyVzcGRbpEbnO2lElfwy1yM1LkUlf7Il8mykFedwYwvFr2yugyRxVVLa5Ksw1w/dkrs7oqrgnbXk+\n19FKzMJjvraAGyuo8+IHFQKV6dVuXmq/zpHPh0u0EXv2an5EAKRZShTANJ43XpsGtoie16FsUAJP\ntARMcQGhuSwYTE/8mI7kVBJTWONmeO3PuQUshMW2OhbBk7FUcbH0DN6DT26/Jt5eZioOs4LlUrAJ\nHOLrib67293A7m2baZWAIromdhSImSl7DvO5ssiLksMUQ9xWs4Fb0iT7vvKKYxFsxfTGMkDVpDeg\nTrgUAw8rxlh1JIrPrUrCPfNlSoPY3h0cRgRWtG3hNpLaoiVwNY0b06n2flTERLsH2WrNlFU+WRFr\n5wthwUYTGMwlzNeGwi617M32v/ciUJ155xpQjkHVwoNQa0k2D7y8VxGB1M/RHH4jC0tqh+BlxGSz\nxNPf/r/bDdZKbHm+2zrupk2mxR9n3ow33aPKveqXuy02VWIwFT+XAW3bcGxPTxrX3Mu2HFWa91zW\nv9ZGS0sCdWTqwrN5Canf87K+CgRMBcQilSBzPza5VKZtkyVa3zRiG6bRq+PFfaBqiBVlnrJMNkBK\nSPSYr4VnSdSJfEjNRDeCm1JTtoIAwoG1NQjLkyCyqCyFjfbRxDtK0TlybgZpT1nUB7pDvaHP53LA\n8CTINWY9yEpYSVQBniKnWZxCZJhNvIE8n6WA8bM6krlqszE4SN2zUP9vpckcwnIgZckuO07Mo6U/\nzBUU0b2Dj0hBZYuyHFwmexKnWNREFMEHtwjM4rYGNHVOqPmEEKjOnQXd3xpjFh9yXSrgLADvBJwf\nV95WMHVpSpXx/BAj0wQFx0nQuwVSVuxetrvFAxiiv21HjPNd2OdxW+fRb5t12+5ju6pFJyTUYbv2\n/TL2yjfqjB340b6NQ2OIrrVitmcFJ62URbtE0WjXUTu4P+a7qMQOnAv0cKQtHBUxkeaQdRofxv0S\nkDMHC9ESp2XtYxoPg2Eg+yDo71zsdxE/75Jy6QqSeTg21cZBC5FW29REDTDEjNRJp++9mubNcq+Y\nnLut41nqjOFHlbj//i0UW8JwPNtYbSa/oXZ8H4mOOo45aTKmy0q8GRrwjb+zH5ZBNn4LcbdTrXz0\n+ziCNK7DzE+x5wfUOucUATTeKKPGHlGlR3DaPttN7QZeNuIQkCNRzNmxsRvaXHMsRuQmyBmis1Iy\ngX9G29xkYE4arWn3MoXTRZ3qbUNXd4UC3fB1sYUAYYLkYQJJ8KxZyRfMUjNI1JWj1N87F/EYkSJb\nsggMrX3V3+74NRpUruaucm2q+sH60WRFqexVnDIjcbIfPVXAxdiH1QS57lkGppZBhBiweerhL6P7\nOP0uJHWbFwKWtO9nQbvyNovzN7V2/+2X39TO9e/l38u/l//uy7+Ll3/d5V4YO/69/PdV3l6fqZh6\nNTVkGc99O3h/nLp13DVxiRkgz2J0nb3HmpDFt8fOy3ZfU5/M1NfkSo3FCNF3Vu8hw3T07hv/L2PS\n9LuLluPKIvkmLLIncT+br5qP6oOauYoplJhBjNrinGgKt+1nx4KToVWxwEgtseU4M6uW9auci+9D\nUBp5Ppdok2moo4ayxWoqK14LcB6KOeSWBRnq6NH4LJq4ggCfB/x1/deLdjsdyguEFbtVytnUlWlA\n35v5nE4qsEPj3f6+Fz5TNvx3U25nRjpJ+TDHR78tI0d/U5te7CT9VouZv2LiOiaJmxZ6ov/jchxT\ndNJiZ1guI1xjUXA7ttQYqTZixuklKlZSMYkt0E9RMXFmfWBWtVgc2Xs8xm7JNVa8R3IvxdSfym+L\nxGo5YaiaQUyJE78qy/ydZsJ2AZVbRLYqz3dqCt2Z5JUzB2zzM/wP7ugI5Nhf6CRjWPloRc8z98JI\nmUN3jpofo2cZzrTbC+gNJI/UAv1j1o62VODHIidHZcQIBXmlrmbkYHFc4rlpVob4uRb+d3VdC47s\nLLLYHrWK6AMlKbguuI6yUg7xkRpT+0xpHhoLAshdfT+iPjQmLzbXumgQ4r9tPpQRQ2ftNP/A/DYD\n+Pb6TDVBk8VWL1vNxz3IspkaS42T2CDiOHYLVVjWPnvFQMauM9u8UceWYyq2x8d+OA6ZII7a50hp\n6srMF0v1eMeLHS0SDktl48TjSJVlHrD2XcNMVRWLarM+sEXa3N213bfznarCTZc4/MXXHIpybCN9\na04Tc8mbMjqgioKZ+DqZXJxFw7rb/q4CML0K0j1IhnWfVMBNhU/TGO9vgdeDts2nYX8OO3ZiOXJ0\nox2ZGOPtlDo1wp2mAGiCjDs1JRxV7kVE4L0AU2ZOWbaRx1MiXsrLUsLdixKbYe+mjub8azrqN3Sg\npc8TmwrfajGRelwbmuJkWQnUrpZ9B6uZAqVMo+KWgKl47CLPgoX7JI1rbR409dCqHUGAkC8gjY8U\nUDNZ4sRvKkMj/hryP0nEh8iXksCyk1IF3pABbTk6pd2DtT05V3C7rM1EKWpqDIdNYvYc8dy53Tqt\nfEidKHgGVixKzTwJOrAQlVYGOJhKipsZcPY8dEaNylPq42RG6r1RyBmsluHdUgmYL79tgfHzxJ4k\n9tzNtC+VKdRJjqcEFvre5IT1R4IAqI5FJ2ZIuos+9UkkppWaOXYiCmzm5TzYeD8xQDqayfE9IGAq\nTwU82RgHWEhnYfMhjXzf7Nks41HrXzOYujRBTp22Yqv5uNCg5ixtqudNBuWkxRzO7d0cM2yn8dRJ\nOONEnHFbbBLotX4kv3eak6QqsUO4AiVnz5IgE9+8lGMnAxv80HjZM0ds1qWZ+qPF1xXqI9AAQIf8\nfprM1wmKNzt+o9+rTL6ufpXRhI5LaILfaKzNvu81+dxsomdAlbXgsWScjtqVzXLVWFuC1zQLuntM\n5zDw6qyqbQgJZIM6ZNq7RWH43SF8uqybWQYYlAKeoHbQteE0/1ai/2k84nHYfxk+rYTaku/utJxE\n1zhJHXdbfoyczddkKd5KW+72eVzj/a2WOFLSsfyZYnG17H7HgZuTlmeQiL5l860SHQ3Z2QwTD1A5\nF7eBfg5dPSzXKUPFDJhANtNTClico3FakBgUJFAlywzKkHjkxwZgrI4M2UjnU2GDu/uRfE3Beci7\nEFSJTezIGa2PAsI4YpQcBAsvtMZU9DUSmLMPm7t6XZDndF7yd30mo8rsXfVVYMFHdJl/WFyqvgh1\nXQHZ2G1e5KkAvDgqrfDgZwKKAvJc7LKY/zBFgMmqAM1WIUDYjaiCjRJETrZb6rc1boBEHXdz4o63\npljXrraoIAmSHSKX42tMPrdSOeS+21UAZR2l++ilCVx0EK5BMdKAA3QPGIkTvXN1hLdLWZChzkk0\nX6LXxPt5tW26ev5WGkU03yyAZMztlc63l5mKV3W8gR4lOY76Lh7FuFPupHSpz5ezNmnW7uoesZkv\nNrnZCPaQLHYaumkH9rrYXtBmUf3rRnVb+20hGDvlo79p3N9KU0JaQlFTF6zt8YwIAh4WzkeMJXdz\nfOKXASIFUZaSIJ6IQOVUGUIkLFQgxdQvQSa1D0dsKNr2ciZs0ngii3US3cu0IguyayPaVqbP44NE\nGSVOFnJRiEluv6wZZOuiDrV2ZuDIunwPkVemYZmffpy003QCRy2Xodb6rEtd4xX33UI/NvqjqU/c\nTblTveOocrfAY9nzLzMD2ftR4OReMDk27e/mmRw1eLBySIGI3pfoIlVb7jb1RBOQxaI0ZqwSV2+i\nzbD3EGqyu5/ASg6trjALRiv6kZiRwlQ0eXuupoiu2KlYWXL1BmbgLI3k3MLB5aoIjceQ7akMc5B2\nBDylK9FDRd7jYS5yudCDeO1+WVErc2mp99BIZ3pyEHtuEyvAfCCbulOTYuYiZVD76ijz37LitN/t\nUGSTjSa2M70my6iydoOAozKpTVHJGDlzdZU6sacJoJ6A1ayozVqhWGxD3hZmrJwJ4149D7Vjuh2P\n02SRm/N27lXORRelqshmDjq5HEGU96lTVxj9pgC4HELxpmZe1/Z4X+ctzFIqh3UXLdg0hZanSmeR\nJroP6fcV0NVxq7a1wMKJGcZKWX7C48rb6zO12vjARgzqUbqdVLPfNH2TmmzV7VS7s8AD1L0aR9nZ\nfaJEaEszoK8B9wG3gDcg+TVwDVyc0dxrPbbj246aRn/HoGVZaT5PbMbTfrp4ikXprIjAxaHEMbt2\n1M5kz24oo9QFaBOuFA2hysdhr6jtdo6VD7WA9vFYU0/gOIV/XJIC0lmds2rqD2sKzW4w1shFi2NK\nPXSmlYRQa78xcLLTgjSNVCU83kOtscTJ5WN8bXS5baixZTce4mYXN0u8DOLv7frj0gictCQcffbb\nf8vycRaX7VFW6WWY396tn+62T+x+97I0xzgGGbGO0lz2RpjfTfkoi2fzNfsvhepMTBf0u0DlV2Jz\nbRwgJLDZEhajyswdwA8lUedgIpm2Z2FxngdkUyqpz9a0DjGWwExHTjc+Y2aI6nFxXTOY7dZreW0D\nOl3qw/kCovkobVzOYTKU0wsmXtd6gNEYUpX1K8D6MfIwKJCbjeG3nZzP2Twj1BTEO1FSSmV8iuh3\nduCGR2XtRBTBPJL/eQZrTlIkdGbI/mO+BCCdHagZqk1wbckiH0wGlzUwdANxe6jS2bAob+KIvFh/\nj0231nWJYyEJaaslSUeTDiSaeNnFAlLbwhguZnBwUxKILuwpCpCyIGByokfcxGNVqs/UXJ+JqfTr\nNH4ene95VHcxr0HkyIt1cR+ZQiAY9ajy9jNTcYkZnPi7eHSWqa8mkWwHtc/i1Xc7FfMc8EFqqkHp\n6gUwZQPWgtCHsApFJ6PU0xyLXsZsq0Xn5pT+hbFkpU2QyR3nMTI1wmanmQ4D9W5hbW9K22aJKY7m\n53Fah2p2syidjvqb6G9rQymandeElCCOfvM51VEPRTgMpipwE8RklrrDtzO/J+CQeQFEW8ySepHY\nIzXcmapSsUahtpPbZtAOcpCpCeC0XPQR8CxaYT11gkJHDaLik47i6RYrV9XRCVHbYg3dHvNQiHlU\nYmHVHJrjMPdJy71gPu6WxYFahzkJmGpapK0NCffGB+w43eJO6oit8zFj1gTDvvF/XKJcmG+5NIFc\n01+peoXIryks/r5ENpcAnDH/FJ2AwQtLNBiJ72DhF8WPraEx9VF4zr60akLdBwZGmv0f67pzNAWK\nmpPSVM4S7WTAFrWdcYrsiIiMGs7ksN5ZUL/GIAyY3WtzKPX3U5ETpMK4lWMBH0HrGBX3BrSjzZyE\n5b5Vjjpn0qSArq/PGswSed5WC9KWJAze3oVsiiQ1BrK+JDmt/JC6AmCqRJ9oH+k+5JTtaT5bDKZi\nGVbNI2XoMkeVhDlJpV0VmOprNnpzZTGhFi+SiYDesoTJvoxVvBbt7xJlS4tFdglqBs1ygBel7AWT\naL6ZctwuVb4HYb8MGA8C7AYh+nY5lKrsUHl7faaGLEb0LVPPl3HTx+0gDcbjxOUC8CFqIDWljiCI\nwUobWIOwBeVpGHTajFuiAoySPtvpFud3b9B/eFyPONQONTGAQt/HiGkwfl5LBhn3SfOZYyqmsbtc\nOmgwf/YMy3JOLVOR7fOi/i7MhZUqilpjKQrRCrwCqXk4jGPNh7uE+siXxmPFQsRYrLi0nAg2i2qJ\nnVitxBuT5aeJHUQ90t09LyaIjkYgdXy9cdjwGOFoRy3GBxn/M8KiDPVl/p42RQyIGZAKHHLZqCKi\nYiHR7I+4NPWIeyXEre57Aabuto4fID5Ty8BUc5rH7039a34P2hIDjLdaAvUxmzFYsu9i8BSfedcc\nWyPA76b8BPit6P9lgb3x/F22MXhkY3HIpl4WYjJCTSgHU7g5hW1do30W5+wU2ZTs4Ii42JyP+8nI\nlCbzaOzjRN9trHOEkCJH3C1W9YJb9X3mAQ68KFWFfqVHCFbzbnMqZ3g+FODMSBpbTGC8XSuKu4Xg\ns+8DH+PuTxEwoFqyGIEcH5Rhbex4OWQZRIa1c0jbkK7DzjZc24WVgzrJ5FoPWvvgzmgH2Vl+TS9z\nE5rqAB+X5nyNtxMjlVJX+y9lmTJSlp1dJ5tboz6D1/yYxtRCtIRwAMUB/Nch/LY/zETHfTal3neO\nUlzSAJ1QWxnseeZaZwfZW8YzXa/67ANgG5kje4jh6bjy9jNTMTiKqYp4BTVD1JugIo67XTajY6nb\nfGnxWzC/L2XbbREuO07/dIdrW+d47rceJzhHdz7mfTdf4PT1W/Aq3PzAKd5433k20m1WEkFKU7fB\nG8l9jNMe3qWcLrZZ3R5Ke0162IQ1vtukwemoTRkUUxjtyaTsrcphjlOdcHkfemcgmQMHoimFHNxp\nnbjWRxt6jwn4PdE4nCWb9Ig0UAeh/Tnc2IVTfdjoahVzCKqpOHNmLyHtNnwdgPkBuImGoGayiIw1\nCxPwMxFCqWpS8U45LWFvKm2KhZIdEwAsRNGAgJgsg/VOzXRNJwLu0kw0kHEJ3R70FbD7AuYjiTJZ\n6UCYwnwiGoitZfO1si407WWFeqHOEAFssQYH1IIfZJFa8Im5xXWjZ7pJLe9jANDcaG2ax7ER8bJo\nJXA6k+zSr2jYdpMNSJE+PYWcNLFPTZKaidJy/F3VZ1ulFgz7et0adQK+uK1mIjSgagTxGe0zq+M6\nsKltGLBocrKyo21wyBjEoDJQg9A4d2uXWpivZnC6DW4u822KzM+VVLRlgBul9NfZBLpO5kiccDF1\n0E31+Uu4HuCKPs+6XtNKoJ/JXA4Ors2FpViN2jIEJhmcfgD6XQg7MD2Qs8RMvmUplfPrrBQNPAbK\nWSqMQxLEnLFfQuFgsy9HKwEMxmKiWsmg0wG3DqOpbKrey4a2uQFnAzxYyukAB9M6WBVkLeeprJlh\nKc/Wb0GySiW3wgj8QP2GkEPQU6MIlUnu9mAzE3bIFzIOTvu2CLXY6brIOd3W9Qq0zqmp8IYmxWxs\nkKur8trblXVsenjVXwkkp4D7kUzgI+AVZMKe1mv2ob+vj+UENLUCnO5CV/u0G0Th2pvBKIWz5+R8\nv9aGMFPewUYqJrXNq3CuFJPTdC7HvVibZoisWzehFjF50hh5DUZyUK+5H1iWeICuHuYedK55Ayy6\n0PMWtNYg2QC3Ca0S+rekj20uZiXi3jHUCVpwWJMzVJGK/1LrrMogVz9Py0Hp6s8c8tyxwpMqK5U6\nGfsqMrupaUJtkTGtFFXWRxJcEEqVfWmDmdL5Zv1h76WLIIR+hqNKjeCpM8cThPkKHhKl20JZK/02\nPD1EbvUSeGC1TnWzrLy9PlMG9WKaolliXh+Wq+wxdD0KTGWN6xrX+zWYbGa83jmPv5ax+sMhL3/4\nYf7hfV+mTBPODG+yNdnh9L/cgifhanaWH/4PH+HjxQ85W0jSIZ+kXHXn2e+sMV3PyXfnrL45rDUB\nqJmvAXU+o1WEGbPFNofZTdg9gO4K9FZgtA27O1JFvwOds5CoMdfPdDNfRUYeuHi2rivsgr8hQCvd\n0n7Qz5mKAN6dwi/34N0d2IgAmffg2pCuUdnVs8i5MVc1dnJZBGaeQ9bVtiQyWSc74qdQziDT6I2s\nJTZzEOF+a18WfBpk4/PA0C1qEomTbgzAXoBeF+7bFMo7eDjYgfkYej3ZgLansLIJ95/TMZ6IoE4y\nEYyDGyLE9pPIJu70CARE0E91M1iNhudxRFM5p8N6k9p8Cdr2UJsDz1KDqSlw3UnOkjTUgCEGjlZs\nSbSpfWFNqOSI78QDHbji4QdeZWTUhjmyUawA9zuZYuZUaVNx4OCMtuWqk2l5v6s32jcROfeQl7oH\nbjHli03fWRBGwvK6dIBVFVz7Dn4JvAOJItrRzxbWapB+egMR0OvavpHWUTrZG1MnY2Q0/nqo+zbp\nwKPrEokZ5jIfnYONXEKoAa7OYKeAh3OxBN3yi8EFeSKAIA9iPtoHfuHgQ6HWTPMU1tuywYYEXh8I\nU7Gyn74dAAAgAElEQVTiaoE6DLDTgofeDQ+cBn4Fw8uwq+xq6iSSqZMrkJnDgUUwaMe0W4HVFVmD\n05njtVlgnMKDZ2FdH/rqTbju4UIXNrcgfRiu78FwLMxRqwX3PQQf6oO7ATd34fU9eZYVvU+aQqcV\n2Cnl/LeNDpxZg/Q+cIqI/XUor8CZQtrfbomzt9NJmThYX4N1D4xhOobhkIqFnnhhB1YRMNpLhNE2\n/5TOFqx/EPw1OcB2v3DCIBGqdbF6Fi7c7xi+AqUPnMaREao1mnYge8AR3gncD+FFR3gJ3HlwD8pE\nyrZhYx/cGJIksDuR/n3PKTjd1QlZipnpZ7uwkwRWHoTuKeiaPd9Br5sQRo7//By43YDzgZ0B7KpW\nZplpuh24sKqg2TXQoTq3X74um3yKrLF1qKIrV3pOQHIGpEEc7dvUC7QDnBFLSdh0rBwEsiuSt8mO\n3Mo01UPFAukzBgNUIAu5C2QO15UDoEN8uocJnSZFFGt9QfaHyhY4gzAPuCK6xtxnRogwHFHnkQLJ\n+xWgzOCzCdXxYXGxHIVJInO3uqZpdTGgb5porKko2i1n4tw+nkk6hSa+TJG1kqTw6Hn4KUeXfx15\nppo2H1NvoXZUMXTrl1wfot8dBahgkSdudH5yGbKfgnsXImU/CZsP7/Ie9xyehI1sn5XTQ3iv3Kv/\n3hHnuQYJ7DhBMBPXoesmbLDH6fQmnXdO4XOIVmQA5QDZiXf02WyXNrOfUhktD1vvh2wDuB9WnofW\na3JJdg6SD+j1Q6oomIVJa+9rIvASS25nnxfgHtI+eDdslfD+a7AROWsSBLWbduHM5HmGegfT6/LX\nIL0FSS6bGitUGmueQzKD9hWZlNkpZboUTHVKuKCUTX5ZwF1YkaSApY5l2hFbe5qKMO9MNI/Mqrat\nhM7L0NqV+lfPwkPnoRtxu87LwcQmkNqvi2bZcjDV++SnoP0ApGNgABvXhZ1LujI2AVibig1+vQ0+\ng1MOwilIzmp3zMDvC3jzhWi6RsvPWvDIGiQT6G3LOHjPwoGutqKr6KK01viqhZ5KG/2LsF7AE+dl\nniVb9Zh4L/2eT2BjA1b7kN+EqapXxRrMzsDq69C+AZ0NmK3BSl/7GXisEPZu9YYwfvP7oEipT2Mv\npX6/B9Mb4DfAbcHmHvS139c7cN+qOsmmcHYT5ms6h0wGaARYWQqj0RojIdCm6edQbMrcaK2qgnAd\n2nuQ6QbWW4P0LHRehPAcHMyEzXltVjOp7QDvSWGro0xfISzMmiGlEhgqwAe2cvhPLVgroKcb/zbw\niymsz8R3aMPB2Z6AKWMDDmaSciMZI2v8dyFdd3S6MoiugNauJxsHnIdk1ZFvJcxci0LFclYWMJ0w\nb+UMOy3WZ1O2yrkwu/o8a3uQ70F/DdhwTM6ktMeBd1wp5ciQ1JGezxl0E9JxQTJ1bBYJaUjw1vlJ\nYJIEsuA5U3pazlOmniQPshEBbgDpfi1jEj1guOzUbcHJGnNz8dnpT6upSDfU+27Rzij6OZ3n5uSv\nClRKT0H6LpFVbRzT/DTjpMNmcZN2kJ3WrXW5sdalczAhH5c4crKiZHUywYVAyBzTh3oMz7Yp1zJG\nH+ky+PQq/d6Qbk8mSTotyHZnpEVJ4gJnBnM2556w0Wa7I/0+Cy2mZZvNl/c4uzuk/wBKT8h8LVzG\nL9Ye53pympXdAWvTfTbCLpMiYTyXDvMEEgKTzPFG7tic7rM2GsJlavmqYGojFaax7EJoJ7g8q+iX\nUZYyTh1JEkgpySlI8CQaVRNyR7GSUnQyinZG/okZ/TdnEt1mprUUQga+Za8Enyd4y6oJ+CTBu4SQ\nOOZpzqTVJUSH8EnKGBXoUXEEXKg3Hadhcknw9MshLT/DxdSvlznk5gE3C/oucwZEKc4L8WELQRm5\nps0+kbaUiaO00Mb4wEAgOEfQtmalpz0uSJrRDKXIr1Yh7+1i0cwem5txsHobx8W312dqoH49MfVJ\n438DU0qNV0+rgs2Sty04WjSQrCXBNITqloGp1yD750DfTZhkKcOWpz3c5t0/e47gHL0woV8MZAE8\nCCthwP0/v0K3NaXIRYS2QsG5cIPNYpvT0206TCRC8CFqm8cOIo33tQ12IvYb+lwZcEoiHlYm+rvT\notV1LHz0lLSBXPrBrekcf51qoV56FS6+B1Fz1iBZQzSB7aj/1pHnebeEOa+MgBcBBW0uo3ZStPxU\nKapealvUVpSmkJ6jdjYyiJ8IuMkAXtU2X6D2INWPNhxiC2ojfXYG+nFyjzUE5GrbV+yk1A1tUwGt\nHnBD++8x6L4P+DWEF22Q1SlTNbu8B/lpyZdTzZn7EArlJnANEaAFQkOpj8HPnoOLG9p/bfmKh/V3\nAdG2XtOxKKIXWt8FRBO7wmIgQjyHXfRa5nGdQbEvm/5qIexDcl76DagprxEC3s8Dm9B7HsJVHd8L\n4N6JzLFNOLWp/dyjXhte6+hrfz/Gop3N7nELsdFdQMwsV6mcfrfWBdhWjmfrcj+2qNHHLlz6MVx8\nJ7WnchwA0kKoq1P626uICedafR825d7pjrB2mRN2aresu//RDB7IBYwOvfx0PYPVjqyhYg57gzpv\n2LkUHsuFCR3r+Ox5eKFQRs/BhbbUUTiY6PgkhXajnaz9Dkjf6ejcJ0LfzaF1RdrKCNINR/uCI7iU\nkIhYdtMAA4fPE8pezoqb0/OQRlRabwy9mYxh2Yey5WgXsP6omFl8AsN+wjd/FPjCbzuy3LHeSSlD\nWoEpVwgFmxclmQ+kpaPwmlLENuS2vJIbCH2ZC7OxwG7ofHFzSAt5LRS9btJzDNdS2v2CrsnFNR27\n0wLGk06bLOuxPk7paz2DTspBp0U/zMlCYFLmtArHaqHmGefYaWVMkjbzkDE402fn/LoAf02olJHS\ndR6HI+DZHBakU8d2K+UglX6f523mWZcLawM2r+jcW0fWVirAY+/0Gte6Z/jhpSEXP7ZKOxnjQ0qi\nCycN0MILIEodq/OR9NuvEBksjYEceqehuwm+DfOOY9JNKyAwT1JKl5IET+4hKcraPIaAjTJ3zJOU\nGTmtbkH7ERb3QKegJAOfCgDxibyCDkpJiicl4Ji6FiPXrsG2VuJDxNuE6lOc/uMIJDoxEzx5OSXx\nBUnwh/gNF4KYrwMSIBSBnDRI11z6IXz241DGzn0ATtue2HMk0l8xmArSGpyQAGGXpZEpDgFuaRBF\naykRY/hjsuS7qLy9zFQc1Ub03vQ0s40hUG9MBqYKmBxQJfRyyWFa0D5LUn0p9efizSmHvCx48LXL\nbB84Xn52Rj7f4V2rP5ev+57+B4ay6Hdh4+YB7RszsgdKklPS8FPFAffNbpAfzEV7KgvZqObUDhdG\naxYIEDiv/+9Rg6l1fdZtBHy9rt8be7ULvIwM7gB4N7LJxPaKHgIMLiO2GjPEx04oZq/+DlVSNw6i\nPjHzqOUpMU/sa9QO8wP9zQW93xo1ULBQCqOlt5D+OI/wpf9S9321WZ8GHkUQyi/0uUE29z4Clgba\n1nNapyU4PWDRN20M/jnw35CPXCb+AO4cAkZXqJ177HeWzGYbAbgHyDg9RO0k9bpebxFDBkwN7M6Q\nXXpP6xtSG9tXtZ6EGmDDIl0Oi2AqZlQjFiBdgZXz0hbXow5mILqucjqDMIbi11D+Srt0X0OsV4D3\n628P9Lntd9Y3qbbxTQS0bEb36VKDyXPIXLxKPXZngUeAXyPz9jV9PUANzG7oZ23tx66+xyHTB9rG\na3r9Feo082gbV2B2IH5ErVKq2IsuSdqQd+DKBF6fwcslPDCCzUIeZe7h1ryOOsu9RAu9WcBV7ZOD\nAD01+/WC+NZcLaQ51v1nPVxoCbvKAPgpZK97knUd5ADJOFQOZdlBIBmV5G5MSITSSbJA0g3kwxn9\nvZLOuZJ0Q1k2G1/zTg+QzAPdA3ECq1gJAl0/o/cadP8rsAHh/pLgXRUW7/aB12G0FzgYB8oQCL1A\n652Q2jh/GPFg/x6SXTWV9ZTmUVtUTjtzrDN7MtTzN4NWWpBkgdSyP4KsiynwC3DbgXPJTU6VO3R3\nJ6TKcK2uT+htzEmLEjcL9IYFSS/gzgVIIPGBtb0hvcGEMEkoWjvMV6+QjwqysQyeSwJpWorJDcjw\nlLNAeWNCMZYbrZwes3o+ob03q10xujK3SCBLC97/wAs8lr3K97855t3fCLTbM+3TCGwUQbObOtqb\nM6ljm9pB08xd58CtQLILrdKTdmt7k2/NsBObk6nHjTxuAM7kL4GMkrabEJIZaa+sfSEieeICmiU8\nkHlPCLH5BwJFBax8NmGzPSBYiJw+TzAnKrMCeSogVd3H/g+BbFTIGLtQ3ymSYy4J1f8x4VXN3Tch\n/SHiG2wyUBsTCGrfg5D4Q/KxamsCbhZI9sMimIrlqr2njfu4xv9z4A85sry9PlPmhXgUK2X/G0Aw\nNsNCXxCH470hjKf67MtsrK62qyZO5maVet60JWC+51lPh7QPoHwZynHJwIkYbvWgd1NMDeMxjK/O\nGF+esXle/HIAQgnpbMBoADsj8H1gC9JdcOotuVbAWqn3XwemYme/9mudAClka4KWk+vgRmI2Sj1V\nArt5BqM2+LEsqpVbkG/BwUASWgJc2ISXfwT9N+T+gxZMUzHRgMyPfhAnynRIFQ0ynUquGBBNpmzL\ny7fF3yWfw+AyzBQclCPwI+gfQHdPNng/gtlVAbokkPaljiHge5Bdh87PofOCDlAuYGDah9GqCOj0\nBpQvQdBInPYqdK/A/k1xxF9Zg9Y1SG+Cy6XvDm7AeFf76wq0rkL7J9BW8JCkkHZhug2DPQib4DYg\n7VH5b5WlsBPJrxHfgzkkA/CW1DXAY3N47XXYmELRFqfm8iYkb2i/7QsbtjaFC335v1D2ZNKFm9ti\n7nPq3e5AtDTtjmpaNhTB0JjXaQb9VSha4vflD6hYmhTxE/IjmOzB2i0xZ914DQZ6rmDPq4/LWXCr\nsDIQgT65CV43woO+mB/OpeKndK2Qa1sbUUMctDtiRtw7gJ3LCIKxgIk9aB9AS3OvHVwW8137CqTW\n73vw4AieH0uAxUZf1qlt+IWHgZpEW0DnQCKU5lFywWIXZnswvSYAyCHreo8a+19WM8OB/m6zJf0w\nHimYog7mDcgZi6M5XCthR9dfK4d3dISZ2izg+hyuF4KxY8zcLWHnFtx6CWaviolF1F9Zf50A7TG0\nd2C6ExjsQOlKvB4212qJv2Q+CCS7nr0zMFmXNVwlQrR5WUA6gfa+lzB/BTk+wGTuuTCDX86QSORz\nLLhKpANoXZb5M1NH6KwHgzdFJgAU16G8DPklSH+uTEcizBe6v5ZBQ9ALJYJs84o3pRTZ2SkkkMXA\ndBd4Q8zj5XVwTEgKyA+U3QNYKQgrBTMPxQwYlfT7sHVW1nZZBrb3CopBwfoU5jns9WFzAhuKpgsH\nw1T8MYdocEIBV28UDHW+Xtiac+qsPMvIw34K40zWWXAIlXJmhzyBT78iCYRvahRGdVyJl7nrW1D0\nYG0TVlfEJJ7qfD0Yw84Q0g1wLZjvQpgH0rys+izNRfH3XszgfqIyN3Ym9V6vL2mtKEMf76PqQhCc\nDrsPmtqm3mjjbThJxacVrdquDJ46Ojrel5eVQJ02PAb/Og+co04W3VAS7XUeeP45lUXL3HcsI6cl\nRovv4+v6khLyMVW+wfr3VCCsMic22hriekv+9YKpI4tv/O303Zy3G2DqeinUexr9JlaWYtDqEAfj\nphn2+ggGb8DjTjaYU3O4GuCnambtjeDdP5FQ1KsBLhdwtYQPvgqPqFlshkSG3Qxw08N8G8Kb0Hmu\ndk5+PIV3perAmYNP4fUpfGugES8Ouon4GLRKmSc+iKwxn8N94LITRz3n4bGfS8K2V4JEKoE4eK4l\n8HAhYZ8vO9h2tVKUIWTCmSChtnZo6c0gZBjaxVMnr5kTcmYtwCulONKCRABNAzz8KpxPpY5ZECdf\ni4TrJGL++DUizLoJnJvBaRWSZvLednA5gc4z4qQ6LagO/TydwIUEflnCrQAPJ7CVyng4J4L8lRKu\nepkeXSe+CBemcE7BYeIgH0nU4iuvCn2cpBr54urnGSIgqlvCZpC2zH+sSlmAbfUb+WAmDtnf8TBL\n6ggb7yX31nvacHodyoGcIQhwzcEzKew6oZYTNNok1HNywVIdgalm7EUXeDCBkYMXEFbFJKL6pTIL\nAvYeT+AhBz+bydwFOH0NHrwpQiRP+f/Ye+8oOe7rzvdTVZ3jhJ48gwnAYAYY5AwSJMEgBlGk6RVl\nBSs8SfbKtrz75LVXZ619Dse2dq33JO+zZT8HyRa1K1GWbVm0RYlRIBgAkgARB4OZASbn0GE6h6qu\nen/8qqZrmgPKXvtYu+f4d06fnu759a+qful+f/d+7710GkITs6qJ3wGMyVBQ4G6P+O50QdxnbZUZ\nISJBjwTDMgxa69VsIyBDvQK1ZRHvZqwsiOWNSsV9u6gLM1pKEtyqAVk8g7UV5Axh1SshlGIRHep1\n0/xm1ZEgIQuwZCk7qxWpuQLMFaHFgFYn7AsK8J0x52KZigI3jvD2U3VB5Lc2ywYPDDQJPp6Rg2ha\nHLCsrWl92DQYn4CFaUhIoNo2agfCwy5iiOeI6mL+FjHrIZSdHVHxrGEdbizA3JLpCFwtfEwzRZ0u\n5oW132jAqiEI8TJgrII+jV2O4tHF2NTqFQ9TPQ+FG6CZ45wbhJwLwnmR9LeMWMvW8xqI+8oZAlBq\ntvY3FJtAdNvWnWXOVnXh3Ssj+jxkrONPSAhHj4R5HQzokGDftGinaMAVXezB/abSb0SGvQbsNNvI\nIpSac4j9qFuCOgMWyhUgrKegPifmZMIQzhPLkljr64+lCM3kdk1kVZg2D0XWHLFiZhUkyEti398q\nCYcJax8f1+GyYSaLliBlcifdUqWbPNK6v9B6CICiIa65WamNmQFHbcXCPRYvvFilpIGNHrouSfD/\ndFs9S/yuKxxvNb7VFzZ4OwiiogS6lVnNwjllw5xLm9Xb5Hcbrm1+5zQgYLxd5tuLLr0dGxrm9/ZH\n7X2HNn68nKk0Is6UbnvB2+y9GwjmpgujFQZfL1dsrOt9aWz8OVQwmQybJqZM60KYawp4LXfTklCB\nGwhCuLckvG9afOBToM7MDXfF3FE0xGZY54Z+H5SdQjjHUhWX2RVZbFBW3jfVEJvwgAnadEPEcHEo\nIkyBpAlNTNQQbtogNoQ0FStVsyIEUCHPOr/gIsKKEkAIpbj57D3mu0OG1pBQ/c6lxDVloMEB7eas\nMxxQdsFCESay4pQfYJ0qBIgNy6KBZai4ydspVlsQlh+VSs7KBBWrpb2+l4rFrEBlgReBEQStKofY\nDONsHHcdYXmTzPpRhKBdteaCuaAyZUHxqUUIDyvkCua9rZrP4aViqUwXKuDwJnC7F9ytgizZMyO0\nF9a95hFWrlkVzmpQX4JwsfIcMhXvPPvhzJr2do2z/dmqlbhOs4+K5ng0KFBvqcgN4RK9Yoj+ilOh\nf1kWzbwGU5po0++AtlqoVUQnlMvi+0lVBGG8oYk2Nc2MPGy2oVCxyFmAz4rzZNUxsyqxZtYLI+ZR\ngoowVhB0kt1UqFQqFRBkUY+8CEuw02xvgQr4V81rSWbfhhCAqSYkvIMA5jKwkjUFgw5SXgCmebMN\nyXbvDvN51gxT02TWiZbgclKceHVVaOtyCGFp9W0zokMMVQDzdt5+AMccD4uPHGGDYxM6MFcWzxkA\nFjUB2nucEDTHeU0VB5e42Y5itmFnTlgUvrvNi2bVjaERXJIIK1ECouVK7B5nqTInSwVznkhi3ejG\nxpzvBpV8mBKV+FpWsfZehUoQ0pztWZ2IudHkgpAHVguQUMWzr895E2S1OIWHpuQRcmDSjE2iItZu\nDhhDrI00Yh+wxlc2n6EFITeKCMtzmkq4jrmyOFRkjEo8qnoqdMQyYt5lEXGm9iGAe1CqeHxKXnBE\nBHhProKrJPZKeygP0ypNk0Ok51nRBICzW07twYMthot9D7D61GHKFEUX89Kw1bP+ttM3q2hKG5wM\nzSDp6/uyVadke1XvRbBBqbSuyKmuY92LfS3cqq1RhL/XrXCU7Rxxy3sxEH1oZReq7hNrX7WApr0t\nq8/tbb5T+fFqpuxPY73so2GVKsRplIXbL4jfuI2NzmXVxWraEliW8NpQRxIbleEQ+aac9eDKiOBn\nmMJDloTqPRKC1pLISv2qAdf1ym3KEnR44FAYNK8wEwzmhekIxAl0yTBNGIaILbPVAce8YjBUHeZ0\n0J3QXgNyXoCkvAJL5k1rkiDYNhnQZ0BLQIA7WYWs2S83FdCcwrQnIYRjpAwHzFO27IBgGKIKXM4J\n7V5ZhmY3bLd2WScYASinYDxbObVHbP2XENWIuiFuup86ECcqCXEq8JagRRMbzZIMM7K4Vsoc15Ih\nAE6tLgLl1SMmvz1cwAQCxDhdwryVNLUSVlGALk3EfPEAq7LQUqxKFTBln0PWSb5er/C7AZKSuDfV\n5NblEVqAqFzRWMtF4T7u6QZvEXYvQFKtCMU0JmAsw7kC9OuC1ob5PBYlyAr5VT0XNwNY1lKxbxoW\neHECTRJsVaDXlOYFHVZMsO8ASk5IO0W/WmslpYv5qZYhqECpThwkArZdtNYhhMusIQRg0AV+Ffwm\nEnZS4axrmLG/FFP7a45vHsjIwrTmUeGELNp61RDhFEAAKMv3oNb8O0NFk4r5fQgBVNYQHKWYJIQl\ngOFEqBk1cUIJ6NDthnC94EkBvKDDZBZKiljvki7m4ZQ55x2GMMXX6mIeps178JoaUBD3fCNjggVD\nmCAjkgBTjWYdVTdDOZjP1oYQuNY8UxEaM8sEaT17jgqJPSXDvEMIYbchQF8Y2O2CdgscIgAx5nw3\nHOK5LO9UyRBgrlaDnbIwJ8cM0c56bllZeJNNlsXLomdGbHPFIYmujUhCo6az3s2A+GzRJ/2YtAnz\nfxaQsuIo+RHgdBZxOAIxfyJAjwu2BeFSGUZVsY7zNgTqkmCrE3Z6QQrDWAHOZEWcLl2ColNoWpdM\nbYZbFtHK582bCUtCQ1uHoE1eUGC66uSSMEwQrQpZ04UAXw2mlsiKRh6TxJzwK0J73ahDgykLnD4I\ndEB2DVaiQjtoaRStx/Ej9vBtDqhzCO1jRt+4H9hvzRL69sgICubBTBbBO9Oq8GC16yasUh3Lzv63\nvb4fARwN2xhaW4IV2aC8SfvWQcQCSvbrWWUz4LTZvYJY1522Z60u1v64GWiz7kE378mis9rvxwJQ\nqu1v+/1Z/7M+/yiw9OPlTFl6fOsJrFVXfUy3emWTYp1CrX/bEWc1CrUPdDXK7PdBr0fEOBnMCE8U\nvyrUsiAm0ZIBhSI442Lx5lRhI7eiFPidwuW6xSuAzEgSJnIito0lFHxA0Ak9u4VAzlwT/I+kGTBd\nQwjCTAlWoxAwQUZnP7R3iTZ0P2iNwtstFIPpEYjPgFetDOh7toF7F/hbBfjonQbvHETmxD2XDYhn\nYK4kFmCzD3bVQJsfFFPwrOVhKi5O8nWItq0AjNbz1AKtDui5D1w7gTUhoBTTO0ovQvJlmLohnr0h\nBG3NINUj1EIIroY6A6U4lFKVyLP24I5xRHsDR6Fnu7iO3bvCKEPuGpTmRB82hqC9HcEdsSSYNRHM\nHSEWFSa/HJVNoyEED0ZAbhLkW5cBhhcK9UJQGWXQXwN9DGaumVpSVfSJ6SSHG8HFDtWBrxs8i+A2\n+VRWrifDrLcpFYC3z9HN5qwTU8vjAI8Latxm3C8gpcGYKsBSM2K+de0F3cG6q3FpFYozcHMGFqJw\ndUkIr46CMP0AdB+H1j5wZQUApwayFyH1itkGwvxWNO+vpRvu7hNcGMm8l7IbVD+MvQHRyxCMmGRY\nK4cYgrd+CCGMZ3i7Js6NeI4AFc3flAQ9HjhiXqd0SCH/Uy7c1zV8b6o0LAkemJIFw1KBFIR2eW8T\ndG6BYC+UVNhpSvVSDlZGQYqt+5qgScIbsdcMO6HWQLHDPNHnYOISpKfFfVvaYwsI+hDtWAwFa32q\nVHI+xqmcoLc7oM8cn3ITDAwgnGVyEB8V8dyWChCzNJAa1Mhw0IwL5dgFRp05zoBUAPkSFCdhNi0O\noQ42mj4lXXgIWtkLLCGSqQwPPT7oDUAmDdN51hPF2jVgVmqlDG/PVWn5MFifFTGV1vvDTCyBSxNj\nUNAEb+dwEwR8tkpOwQOdWxMa0zVNHIh0BO+z8SAE280b8AF1sHoGEhdEE6uGmDtbHDDghP2dsM1y\nnDEPIg5dcEPXLkNyygx06xQhPtySOPyFC4KicTgiOFt6ExTHID4m2vDmBcdTywuTZB5BlXC6xMEX\nBMhFFaCtVIZ02Ty8USkWULAfqjYFU2Vwl8QBKc3mAEW3tWVpXewysvqalsbK+r9Fg7ODD3up3rc2\nA1yGra6dflNdJITPQ7UmrrpO9bNZxQ4bDMQYWnPbfi/2OWy1Y8cS9jn8zwKmCoUCpVKJ0Howln+m\nYh9JC0JW97D12dj4P+uUaD/xwEa1nb2T7D+3in0wmk2BdDUHq6rw0nEhVKcWyk7oYrIGdaFJSZSh\npdNPfaOY2nLGhbbqI91ags4s45dyjC8VN1zHVwN1TQ7UgS7yNW7qPAuUJjLMTqvr+e50xAllPiPU\n3nUh8O314zwuzok5j494bYS1EqSSJSbjCyRG4jRTQeDdXdB1r8Ls1naiUj366woeVwwv0yjlMiUV\n4rMQ0yDQCn5vAyVHJ1r3PEa7gAWZWRg/Y2AUzMCTshAsUV1sSgD+JmjqlMkd66S0vx5nsYRTKeHy\nF5EkAy2tU5iIk76RQQc8TW5q7/CxVhthzW8y91NAIygjK/iHplkwDFbYqHp21EJbk4R7fyfqvjoC\nhTRGTiaTCaDrCpTKOFenkZeipMrgbArjOtFC2eFF1SypLgbSZZTwyDmKb0WJrsVJUcFl3pYQ3mMN\n5Ft9qPUOPPIahgNURy2a5EAqG4QS0xj5FcaWhMavoUYkd10ySRchv4umzjqUOg8lr4zizaG0Ctoo\naKYAACAASURBVNFVTpcxpgsoOX09CLE1P+1z1XrZzUL2+HnAegJlryTMc7okTNVQieyQjgTxdzaQ\nudtD7DYnLmcJh+mzXppwU7zkxReZp3ZhmaVpnTXdhdobwutxgASO47U49vrQtSKyV8eISGh1KZSC\nMK7pOZ3YVIG4y02+sw59Z4hwvw9/Qxp3wITCXgdayI3HlyQgraEUC+hJbcMC9CGA0hJCk1hCCAnL\n4dE6oZcQwmIFoUVsbIY99aLOym013PxgF9p5Gc1ZwvnmDNJYgmhOCCsQhxSnGzoGZNqPeInvrSMf\nDVIYDAitd7ZAODuNoSfRUhWNR30HdJuEiUxrgJVdEbKJAOqUm7rUNK5ylERUmMOgYtpstI2bPQai\n3YRgnfYNwF0PbeYho7jNS+reWtLZMJlpPz73Mo7aOIvTBXJp8UBhhGm+pwlqdjtJ3hdmrbaGZLYG\n3ZBxFDWaPEvk/AmGLxdRijrtPljOw4J5r04neIKQCTQR929BcidxaklK02sYKTGGuiIC7hYl4c1Y\nDe4tYWvts3bBIlEBAJZ52y2JoK72eirCZKkVxGHPH/Ki7+ik0CjkjjNYwuEtEHt+idTSGssFkOpd\nhPp9yA4Z2aOgH4tQ6vHhkkroQQm1zkXGkWFNEcc/NVkgO52gNqTi74T4lk5KnQ04u4soYdGnpYKT\nTMaF4cvgDKQwpmMUigVSJsdPA0IOcIVdSPvDpLcHyXQEUORlnLPLor8M4eiimZQNty40tR63kDMg\ngG5RFZxGR7liGrMDCMtx3S4Wq8WjYV5P00wTLZtrgGDjfnIrs5VGJQfjZkBjM8oBbAQh9s/261rF\n/ix2y4C9/q3ubzMAWH09a++0sIDVj5v91g4Cq+/ZfgCotiBUl3cEU4Zh8PWvf51f//Vf52tf+xr3\n3nsvAC+//DL//t//eyYnJzl+/Dhf/epX6ejoAGB+fp7Pf/7z7Nmzh9dff53PfvazDAwMbNr+6Zzp\n0Wd/os1sHg4qs0ZjPREjCK84y0sB3m7/tL6zI0zr3T4pS0VhknJr0OiCLTXCTGAFBJR18BTB6YX+\nZoinYTwmob6/g4V/0w7AzdONnPp/+9h7aJG7Pz7C/O+OIk0t0klFKLQMgP9EkD8OfpzFxg4+9Nhf\n4PzhNW5+KUa5YOBCqDZ1hNBoroXmLrh+VxdTD3UBMJ7YzotTD6I1y4RbV9jz2tfo4cUNZpFpGT5w\nxMO3Iu/jueT9FGU/D/he4Fe2fZGAkaFcgNgaaGE49ii8kbqN33vjP/LJ2/6Un/qJbwGQPWMQG9Kp\nTRoi6oFpNhwvsg7xg3dCwyec/H7iQ7yYfYD63cs0RJZpUpZFkLm1PNtrn6eeIREtYEcdM5/q41Ts\n3bw2d5doxAWcgPte+Fs+Pvwl8mWNGCLSgpVesGE3NP+kxFec7+eM810M7L+MVnIyNLiXQsGLt5Tn\n0zVf5JDvacZycH3bDqY+/lGiuU7WFsxcEiUgCZGmZbYMTFD7+39PcPDUBtB2bV8/F/7Dw4yX+0nr\nIW4LvYqxoHD2pTtJp0I4JJX7av8T//YjK2T+UpiCe/aDNgULZqiHYmcdb/zyvcyubmH4j93c85Mj\n3PvBGwColzM0fmkW/4284NWwcYOCyuK3a1LNkDQbNlENYWbNaMIjdE2ugCnNXCvZI9sY+uVHiLV3\nkQvV0awsETTTH63UtDBV2sb7H/5T7pC+TfFLJaLleq7/8hHkjiAGEudTdzJlbKdhyyLu2hya08He\njrc49sCroktv5PD8P7MoTe1kfuVunlIP82eJ7QzsvExb6ywACbmOeUcruztfZ+/JsyS/PEP+ZgLV\n5jqfBJ4zxztFJZWD5ewlIwBUHgEUNURsJ9ch4KCoc2Pndv7c9VEWd7agKAa/tPAH7Lr5EmcLItwB\nCPMwtRK597gYe6iTU8F7uPLWAUavDoABbZ5ZfmHfF2mpfYML52E1a168DzCn60RzF3878CjXX9rF\n6mwTP7/3S+zr/QEXvw8pUwNpcf9ybOT9WOPnRpiPzMgWQnMBBHeBa7+oM9PTwg/vPsmFi0cYvrGL\n9zz+Vwy4XmTxSzNkL2cwzD5ZcEBtL3A8zOvHjnAmdTtnz96JqroIuZO875FvkfY+T3ghRkeuwM5e\n4eHqNe81XAed++F7Ayf51s5fYn/LG+xInkX50hnc5wXbaCYH80Xo0IQ5bgNH1SwWH2czvpR14HVj\nppMxQcl67C7MiBxloQ3e6wFfcyt/cvL/ZLDvAAA1jVEaAjN0T3yD+sEzIsL44VqkX9mOHHSQ0wO8\nlH2Uacc2Im1LFB0uoqUGej56jY73C9dh/7kZmr94mvC2BMqH4DvR9/GU9BM0HlnA1yFOQ4lYhPhK\nI9uPXKVv+jz9X3yO4pVZXsoIM50TYWpt7A7z5MFe1A/dz6B7N++LfZvHr/4VILxMkynBy2rzQJ0q\n1mTQL7yHMfspnqnk/+xEzP9qoW8BA4VKIo9qIW83HdppyPB2ukD1i6r6dq2Vfd5WH/yqwYzdXGin\n1VSLdLs5ULH9XV3nPGJpb6bd2uy7zfqtet3Z79neP1bddwJMlsb2VuUdwVQ0GuW+++7jE5/4BJKp\nClpZWeEv/uIv+OY3v8n8/Dyf+tSn+MQnPsELL7yAYRg8+uijfOELX+C+++7jrrvu4uGHH+bmzZso\nyiZc+mq9mzVidvaqYvtsziTJUblzqVwhNWKCKstj0j5R7KpLu4rRKhlNcKDksvBk8GhCO7Ssm+24\nIdAHGW8bZ9KHCbfO0d1+kYX7fMSPCP/hldl6LkrN+OtVDgyEUGpdWHkdLTBVzEIyAbGtbtJ7fRR2\n+JAmXCCLMHKKJECLE0HA1DS4kYWJ4QJzXhG4J+dboaN2nBuhAd5UbmNP4AdsCcNqTnCwAOIrcO0V\nnbRvBcO1TKJ1gKQniDEric7Im66+OfCtQjoV4K1kO3tr+tm2Q6RETc0mwT2LTkGQfA3BKWmXBdkS\nINgeZPVYhNKkG2khi3Z1kWxpnihxZMo4ciXqFgp4PVDTAAu9zbzefwfZSR99KTM2gheoB3/NMnOS\ngccn0n3oOUGWBWhpg+Y7wJ/T0LN5kjdirKZauJDaQ1avJVDOkOlrwKNA4SIkQh5WttbjGyrQN25e\nx5LQjRrZfi/hiHNdXW5pCZZrm7m+4zihQo7G+Az566vEViJMdLSSNCK4JJXSko9gN3TsgKWFLfxQ\nP4I3NMaubZcBSPY7GD4QZO5aHW+lfOytmSB0QMDcYq5IyWusb4rWCa96M7Of8u31qpeKhjjFu0wz\ngcUP88nQ7oZEoIVrobuIuBN0qhNogzHSS0JLVgo4ce5vY2VbJ+PqMeSaIcrJBt4KniQXFlDPFS/T\nuXSTwuIqSkOB5l4HSWcjz0feK8Z/ZYEdnqfJ1DcxMXAHmuajaX4WdWaRlSFhO1Oa8nRuVUnSwXnf\nQxzVvkeDO0FvH6gmKafeC9kctHQ6CLqd6Lioz6k0p83jQVaYVhMxSJaF5jhsgB6D2Iy5tnIZ/NFp\nVpt6WfBsJ9YRQe4B55CIqA6Ca+SVIDtpEDtbYIlVJpY9nJcOY0gSvZ5aytvCuP2QHRRpkAwDVhdg\nXIScY2m+QHlpibXCbmYOtUPYT1MCunuE8wkAW9wYbU5Uo0iJMiVJQdJ1nKZ7qluDllXwLUFo3tQU\nGbCUYj2o6mK5SNYRIy8VyBz3Mnu0m4DajycYx2v6nnkUkScvmoDFUY0pJcVkvYPrXb0UJR81ngQT\nA534rofZ5kmhNkZ489E+8otpCsuijXK9m1JfiBvqTqZmffi270ZpkNnhH0E2qduBMoR00e9WXN7q\nHd0yAVnzshoIWFu65SjgVgQHC0SbZWBVh3hZaGtwQXqrg/x+oVmWwwFw1BEKudfP12vBDkZ6Hkav\n8WFoEsqyTNvKTfIXY3hKTnrlBOn2Bi60dAGwLXyJA4G3UDv9vHBiOzNLbZRXS2THV1BHBfvO50lR\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CAlO30p5Y5Vbf/6iymUmuGsDcCqT9Q9u1lx9F5ga4gOBMVYcssN+PnQu9mWegnZdlyXRs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\nA+RkKkeOHDly5MiRYwf4/wGeY8cjMfhf7wAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We do this for every image, flattening each image into 3 channels of 44114 pixels, for a total of 132342 features per image!"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = []\n",
"for image in images:\n",
" img = img_to_matrix(image)\n",
" img = flatten_image(img)\n",
" data.append(img)\n",
"\n",
"data = np.array(data)\n",
"data.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 39,
"text": [
"(87, 132342)"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y = np.where(np.array(labels)==\"check\", 1, 0)\n",
"y.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 40,
"text": [
"(87,)"
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We now carryout a 20D PCA, which captures 73% of the variance."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def do_pca(d,n):\n",
" pca = PCA(n_components=n)\n",
" X = pca.fit_transform(d)\n",
" print pca.explained_variance_ratio_\n",
" return X, pca"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X20, pca20=do_pca(data,20)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.35925967 0.06293188 0.04107783 0.0311951 0.0281696 0.02288316\n",
" 0.02101279 0.0187405 0.01732646 0.01530238 0.01421597 0.01318394\n",
" 0.01247015 0.01163818 0.01099583 0.01060732 0.0100743 0.00980239\n",
" 0.00960559 0.00915359]\n"
]
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"np.sum(pca20.explained_variance_ratio_)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 43,
"text": [
"0.72964663727906887"
]
}
],
"prompt_number": 43
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Justfor kicks, because we can plot it, we'll do the 2D PCA"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X2, pca2=do_pca(data,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.35925967 0.06293188]\n"
]
}
],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df = pd.DataFrame({\"x\": X2[:, 0], \"y\": X2[:, 1], \"label\":np.where(y==1, \"check\", \"dollar\")})\n",
"colors = [\"red\", \"yellow\"]\n",
"for label, color in zip(df['label'].unique(), colors):\n",
" mask = df['label']==label\n",
" plt.scatter(df[mask]['x'], df[mask]['y'], c=color, label=label)\n",
"plt.legend()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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+s86Ciy+GxYvN+MILoV69il/TsCHcckv4Y4tGzZvDb38Lv/89xMXBs8+q2Is6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\nODc3F4CkpKSwzImICEA28AGQA/QHOnk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"text": [
""
]
}
],
"prompt_number": 45
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Whoa**! What do we have here. A quick visual shows that 2Dims may be enough to allow for linear separation of checks from dollars, with 42% of the variance accounted for. It would be usefull for face recognition, but all we want to do is to split images into two classes, so its not actually that surpring. \n",
"\n",
"(For a notebook on face recognition, see:\n",
"\n",
"http://nbviewer.ipython.org/urls/raw.github.com/jakevdp/sklearn_scipy2013/master/rendered_notebooks/05.1_application_to_face_recognition.ipynb.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We provide some code to reconstruct, from the principal components, the images corresponding to them."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def normit(a):\n",
" a=(a - a.min())/(a.max() -a.min())\n",
" a=a*256\n",
" return np.round(a)\n",
"\n",
"def getRGB(o):\n",
" size=322*137*3\n",
" r=o[0:size:3]\n",
" g=o[1:size:3]\n",
" b=o[2:size:3]\n",
" r=normit(r)\n",
" g=normit(g)\n",
" b=normit(b)\n",
" return r,g,b\n",
"\n",
"def getNC(pc, j):\n",
" return getRGB(pc.components_[j])\n",
"\n",
"def getMean(pc):\n",
" m=pc.mean_\n",
" return getRGB(m)\n",
"\n",
"def display_from_RGB(r, g, b):\n",
" rgbArray = np.zeros((137,322,3), 'uint8')\n",
" rgbArray[..., 0] = r.reshape(137,322)\n",
" rgbArray[..., 1] = g.reshape(137,322)\n",
" rgbArray[..., 2] = b.reshape(137,322)\n",
" img = Image.fromarray(rgbArray)\n",
" plt.imshow(np.asarray(img))\n",
" ax=plt.gca()\n",
" ax.set_xticks([])\n",
" ax.set_yticks([])\n",
" return ax\n",
"\n",
"def display_component(pc, j):\n",
" r,g,b = getNC(pc,j)\n",
" return display_from_RGB(r,g,b)\n",
" \n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 46
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And use these to see the first two PC's. It looks like the contrast difference between the presidential head and the surroundings is the main key to doing the classifying. The second PC seems to capture general darkness."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"display_component(pca2,0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
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sij6WoSvmvJDSiXysZmWe1/cz0HsPljOq/XKOPj6vnz9xnSdWPnz7BA7UxOTO\n2Dlj4BoY3/88HmpnZ9wCmFWxAfturjtyJ+CahZYueLO7HpWBBNjtWvfUTOAdgLluqHWijNWKoDdG\n13ctmTOWAXz8LAGhQwldQs7Y9wd0Rzg6Z6xwO/e5FNO3+T45SLKKV6h49cq0Zosn5hxkuWBM1GgY\nc9ge5hkqpWDfNq776AAUCV6tdKeBDRCCaj414W23l9zFnm6Htm0nwzjYq6a19Xzg0Nns4egjzoyn\nYFc15WfA48HZZnoUgv9JEOlMnNkHX+fH88N6a5mYFoIr+vHws3OkkBB/zxSqpadSMvBqAPgGLFwn\nNdzW+JrBK0kRAHkag+NyA2/pkCylwz09Y5+7XymlQrCa6vk+kNjvG7a6RSNct7lu58KfuS21oNTb\nk3j24q5pdDt5fw/vn6bTCyVWFV1ODja8OvAOBPnv2KdeAVcKnldHLsVK92/p1PCzLewkzLZ5JW23\nakWuAQOdUpmt6RYQHccb13UyiAqdJNncbvrMqzF4yw547Ml62fyYg1IDy7h4k1MoWbj3+43cJ/oU\nSCrA7/8DwOOonL10SN2fp5WhWtTaekM3oHOcB97vn0TjFhk6KPH0xecsm9wQ60oxxaE3Z9Gtmylz\n1Q6efPM11FoircSHth73vQR43Ax29HHQdUfLOS9dwxIy2jv6+6v3FFiaJVKk6zXOFjkT8UnYmryL\n86If/XJmx4HDbTni0DhoUL9vcZRv4tFIN9xBG02eMwD+NKo1JvON5GBpNfUigo/GcQZkr+uEgEZw\n0Z33ctwVUXl6YDncuZyWSJQyukOq2wvPxxP74xmib3+O59VwnR49wKK11Uem1IpqDlfBw+ug/VND\nLiuX58Fm8zYRYWRqGh9PpDjVX+photE91vrnj+8RLUe/j1KjBN2ZjbU/l4Ff9DKddCmXrTHvJacS\n1WauZeA6cO976Xw1o+v7rbWG9+sny+Ht99vW7Hd0OhSnL31HsTJSLwu9Myi+FrHXnRlr7fZced5q\ncQNYreSbhkqdybJUTo/U2tqTwxlEj4xLQzUQ5vbBy8Lv4vc4N3aO2HzUfn4DPAD1RE6tO4N1nsfa\nf2V1qmVwNwNsTdMWTEt/sHvuYj6nTgwlq0QnrbZuQLJ2GQxkgDEaZm9MIYv1BLJn4fqTEcyOBSsp\nI9l+v6yP00p5A/ujoZTKv7ulnkNDZ7biE7iALqfee9zzsqWygJGVYvs5pph/BPs4vMuwJHycDaWW\n+HvVictzOI0RAAAgAElEQVTYvakTJRdsdeOazdXni2nBimr5iTknjjfZOQ8mlvCcztdTHTRrirJV\nNqjTJaeIDsiW5nefATXmydIs9+CIfXturTKMNXOAUO57BUxDZQs84MzVTYbB7sYrbUyApXGfqhqF\nJfdO6n4GvZ9TSq4X9JS/RIp0STt4Npzd9fuhHx1QMFhw/6xz3s487d5qkaLRYyfIgzFRa2GApqz8\nTEJQ+3698H6/2NusluiT5m0xWLl6RRsbDyAtRAlRtapC8tJzbhufvSSCptEbK7cs5Qv8hn90/RLw\nzNFBKd3EnBQxe4PB1i5zOrxpR3TH+xURHJH1Qrj37ooL+YptwALXqUSN/hzR28c3unfYdZahtWYR\nZQ2WxRfOCRSYcZs3Q91aW+mlWy6ZwKoE+k83Y+4PK5kexjcze+30m9qcH+uHoVmptTuREC7eDLZ3\n3L3nwd0gudP1zerRS2gbPn9tqFXGLMRsbJc/1znRLWpLwgodgp5bV1qPjOwQbNUFt3nR2ScBz/7Y\nI9/PKAq3kRzL2EZJq0g4CQc8rn9IBjpLKTifJx7Pc4EHYfnneaNLAzSa82bqNcdz9C65q6rMdDsW\nZQ5Ld3g0IyLYn2+UXBdQBMKI5JSxPx54PrulSi78+P6dbd3FwaeYM6yhxer3SsAbKHZxssWrAX4I\nJskyjNEZ6aiEofPKJAdXHMmwWZVc43l8v9B7Q8nU1rS2obUL53lE2WzQ5DmboV7alfX9F2jmeVFW\nfvSGq7UALaMv+t57cORM1mffd9BgD2Pz2I3X+095WtaBhacivFmjR/aeKvD9RJNx7/wMi0tc0G4p\njmFt/BObdjbTdAHUIR7HsRr1maMrtufmLXL2fdB7Ry1MezAten1iej1N6XsuXat5XCkFYzdw0BrY\nxwwUjxqL7iNJ+jAwoOxTREHrqqRZMgF+Lte1hqBzTtfmjQWYXFsZNmZGE04CcwNpwfTc+qJYsObC\n+3FLnTVjSgFYldvqiO9rxw7QPPe1bgR+ZgsIhgiI9/2Bj28zbOz7/TaGaUfdKmqpwTJc7QKUGlOX\nCtS2rc7llj7ydDvBDs9NaNXGsOpBA6CZTQprW37GWbP7Gt0bBvqec7vvQN6B2Yi9VdbZktVF3xuR\nevPGXArgrQrMmHsKTMxXlVydlYjvMS1QdfubUgpxu4igp2FMMO2Vp9OHBS/pZgcAz+KMBfjjmAnG\nKHDhdanM1riNeb9feL/f/D63MRYiKQCo6+okcU0dBDojJUmQK7uJp5ShmFBQetJHt67agEwY4PnH\n16+rtM6DmyjKJVkOPXpH6xfadUZnxvO8cB5vvF6voC3b1W49RayJm20O/q5j6oCkbHlvsj1+SK7m\nOdMzUgUOXCIXPCdGp5DUhWerasZbugMxA0V9ZpQ13NL1QL1bqJdURtpHNVAomwSujerr4j0YVB0Z\nk6IuRhn6w/OIyZudeVvw0TxF0KIjc7S6h1Ggo98c0XJM3ocj9D+TgCNn67QZ3ZR5eYoFwvvY9t1K\nIcUofUahfXg0A+zbFoBH7D3ZE2SlEzzy90NG5+TAYlgJNSOcOaytujkBj+idzUk5oxmQ9vSIg61m\n+oN4hmZQ79U8yYyy60riMFmvDi9jFqyuwBMENF7e62Lgu+5IBGjXGVqTdl04zjebpYk3KJyWktsM\nuFvLdaej02KiSi4ohUK93sgI9N5xvF/hFALgzhVVMqIe9v28x9JEHgXXeeL9ehHY9A5JJ+pV0feH\nMUPnJ6rdWSZbyYgmPV5woEGNk+mFVGOcQbGz2y1auyVlLH204ePb79EU7zwPnOcVKROmAqkN8ajP\nBZP3q+50Yh4JOztDHQAvL/k2ex9nfMxpjFjG/vBU6QY1W0JN0mKiJQl2cxKqGs/M7cqVTq6Twgz3\nBXjSW30lV4rTWamcuB7j+STo7hfT1gaoaiE4bL1zT3Q+56GKbd/xfH4z/8autnPM5TQnRetJEkew\nTEUPQO8l+1sAxbv+aDXqW1203Rl5ipIVTDwDpd4AxVjdlB2Ee2M4T5d4EHU1dt/ejb0xQoYg/7xw\nHO9gW1a7jAntw5ivgXEBs3Ucxzs6SudSkB5P3o8qoA0zjXDaqhOzD4zWwRJFgJW6bgto44MtcpCS\nSwAC9xHeUV2MHfHOxquD/fpO/r/HoMart4Z0riCD/tVTuz3ej5odBPPj1WWjz3hG7P91wbVtbg/d\nPwAkDbwi1X0s5kT0KlJFu06c14nzOGMO19Iarf420ZsqUnOC1tunv2PbCuvJdF04XmxsOvcdm5EZ\n3DMjMhG+Eab5UUAxjYkkED7ho2lKLVCt4ZfHHOhzYrYB4J90HcT/AeB5vw9sW7HI1BpCiUZEPEaz\nRkz893U1Conebxzvwx5wj2jMKwpq0IQTQ5lTZD7ZyvdMAHueZwxjY8XFGia3xG8T57mh3nrhBL0B\n4DJxpTs/H2bpFjKMky4KuLVmvWVSMFROdedSLM2FQKPA0gJ4VQmNcv6EoOlMvBojo+QZ2ofeG87j\nwPv9hjeCco2AG6VPaS+4o/KmcCsVqFNtjtUWxiY8gjjgcbqdKaoSB9YqxIwSP48T3mwtvju8/4XN\nh7KqrLthyHn1+ogusObgPQ/skRkgRqfKTSOTDFSNYCFqKSGqW5qwWxfPnEPr47R1rRXb3g3YkjH0\nCGR0thCIZwzu0/f7FQzV6ve0Gs/VuuHx/MmOqnYWIDBnzJ85SAcQEZyDO4/YvDO0CwG9snH0brqo\ntNJrkqy/EZ2obcDb6I6BfNDgXteJ4/22lEeHSMaZE96vV1DzHmn5vdyHOfqML4jPRir8b9uTTp97\nSuv58YGtbsEKsmeJBSolY993/Pb7i31VcsH7/cb79Qo211Ng27aHwDuizuks8WDfk22LjSx2zjz9\n59VPZHRNsG8aEp1MAQEIw1y3zfbFDGd/Hz2x77sxFc6ElRB3OhPnAPK6zkit9mYlxrVis9QeAe9E\nLhmPfcfr8cTs1MH5cEoYg/F8Pqm/6R1X67StrRHwfHyzvUk7HMEFnEXRYGa6sWmt8Tt9fHxg23aW\nKOPG1ukI4Nitei6nhNN6yVRju9zpcmDsAkGugfK1c5Yqf2LlLHVsuqHd9HnbtgeT7ymQ3jse++PT\n2IphgMeH+wLA6/WTLLMgeub4uYAFKrQHGvfoIlz3Bx6MeEAT8guswhpn8YetUQAeA7wMTEow0dWE\nzBrrO5mpaEyp+vt66tRF9c7ezPmbVXWKpUCHBe/UTPXWPlVn3cGqyJqtBUiwjHNO7FZh6r3c4tmZ\nHvLuBxRLR5rtefq6jEw/4IAUAHJjpdb7/Y4U8Pfv3/Hj+3c8jGC4XOekBjjtOYWNNFmIgoynM6bs\nvcaGjOUsxm4lnrvzRJ+CgYw576HW316/BDzH+w2du1H1S9txNYIIGFXv4jnSrB2v19to/jV924Vx\nj+cTj8dHRJFTPUc5odrD+fTBLrB05BrUrNOS1ALw/b05kTd1ozlkvPXz5w+cx4GcCp7PJ37/498M\nfFn5oOcMheV2rTWM64JWn09yK6ubEwVgB2kA6l1kBTZXSpG2xYCwRLJAtVkKoZuBFwAJAwpnH+dg\nVcnrx0+CGYuiF7Xnm86jJQIop47V22qqHQAr53Q6f2kbUqTPHDCM0c0J0DhXoVDvXpkVuhePci31\n5sB0GCXrrAJZMhpEpy5VAS2AdJYjOuXu95aEfXRc2zOV5dIajrEGqvdc8n0+1L1HhYSz9qGJRqkf\nB87zwHEcZgBHpL8WsHTtkkQLgxCEDzbd2vc9hJD+HOq2Map5v1Ff1ERNv7e0piG7QHvO/um7p5Sw\n7Q+oKn78+G6ia85CglAcPoeXxrthYurh/XrZGpTQV3mvnGzt3S9zugLg8Xzi3jDTU8ijN/z48cO0\nPxn7tmM3NkInS1R1ajxnL41PvxkQnhPXeeHPv/wFf/nLf6PWgse+43i/8Xx+YHs88fr5Ez9+/ADn\nfiV8PL/F7CUXQ/OMn2R7LOLfH49gGl23QJakRUoumYM6ziOawzmj4WsyxowS4Ptz8bTCndlIOVmq\n1WcDZWPlKuYcOM43U/nHAdewvV8vSBI8nh8M1Jx9VjZy2+uGx75bSuv6tIcfjweez29k+ubEcZx4\nH6dV8NB+ejWXYpXQe6VeVEmaXuY4DrLsqnh+fLPmd8ZUFxfEr4qm62Kp8bbtDDivK9LJ/v2iOseY\nVwARcMX5sz3lTOF5HjE3ynVeFKRv8GHB3lnd9/j7xSocVkHO8CGOaX7+/IHrOiMFdJ9p6PbRgyQP\nxOactn7GxoCpIN9TDnginXLT0XigtVJaK2VUb5mBEoBHl53qDBC8WsntYy4F10XNCzV8iyEaQ+2z\nqZdpreHHj+9k9rqxmroqLRkkV+yPR7DCpw0n7b3j8Xgae9gWiJoT7bTxFlFN6+M7GLzcz1GShDkU\nw86Ny1Bcq+jMuari+59/4ufP72jtiXN3thT2DGzen9kw37MwGwxRMoTm++rYUariwBvT7Ibb2oGM\nKQW9fWaE//r6JeDxduVsbucN8z53Dg2hCEHbEnYFJdsDDBA8KHqzyck3wWQSo4RvmxNY4iyvAnKq\nWhKQpVhJZY0+LuNW5gcgKLOpA0g0KHReXvZpPVysZNP+KiKTuyCxGDLWnKMk2bus+sG/V8kANCLN\nIsAkwqGAKUFU7XcXRkoRNVQrg/QhqFE1FXoaiUhSVdlb+6/0RHRyVMQ7CufP9dPa5MTmgnSGNLy5\nlRDNARKAj23lFTlJlCsKNF43hpWogg327oK7RT9OztWwn3uu2XUvYuxRVLeMgT7YxcvLzAGW3Eaq\n8SbMhG3F6d19HZjYARxj4DqPKC3t3TtXw9iXePqmUbE2BWlVCnoTwe6pDgM7ZC63MMz+fX2PRCWh\nrFQQnZYJ1OEdf3uANafJvTriuk6cY5Cdmkx9eGrH+9z4mfSyXEaCN21NXYY2qibUx1EwlcnyT0ZR\nxZiXS4E2L1yNZ7NbSq21jvdxspLCIsar9XBe27Zx5lNKGAaOT3PKruXI+aLY0wZElspu7ernaU4M\nmRHENKuY83LsqRM1s5rP9VJzTrxeP/H6+QPffv+DDFSkQ08K2Lct9h1ZNCBpQbLIkq8npZ5M+1NK\nxSwT47anFXQWn3RKlibzKinvj/R8PlawMAdmb1blRxBBLRugQhHo+zjxNuY354zmAV61StK0qnoA\niXPM/e5jVHh+L5umvu021PM4jJ26wq6riYmXoJ9Bpndk7oNMxG4pwbsYNsDjDRy5tWkuUDV7HGmR\ntAJP1aX5690HWS6BPYBoQkpdz8u6Hi99offEcd2VhK1Zc/cEWIDH9ku26p/mrJIxSjmlAC6LwRzG\nHglEfCipjW+RVWFl32ppf1oLfSF9Xg7N3fE+2KzRAND++BPbtsErfmuhaP+///t/ETje2BHeSzY9\nWcfr/QqpgTM8fXSc14GrnUZSdANRF97vd9jYbX+YqN/2pzNMWK0JPMVWChnMagOOR2+0q